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authoreschnett <>2001-03-01 11:40:00 +0000
committereschnett <>2001-03-01 11:40:00 +0000
commit310f0ea48d18866b773136aed11200b6eda6378b (patch)
tree445d3e34ce8b89812994b6614f7bc9f4acbc7fe2
Initial revision
darcs-hash:20010301114010-f6438-12fb8a9ffcc80e86c0a97e37b5b0dae0dbc59b79.gz
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diff --git a/Carpet/COPYING b/Carpet/COPYING
new file mode 100644
index 000000000..1942c4334
--- /dev/null
+++ b/Carpet/COPYING
@@ -0,0 +1,341 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 59 Temple Place - Suite 330
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+ Everyone is permitted to copy and distribute verbatim copies
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+ Preamble
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+ The licenses for most software are designed to take away your
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+
+Thus, it is not the intent of this section to claim rights or contest
+your rights to work written entirely by you; rather, the intent is to
+exercise the right to control the distribution of derivative or
+collective works based on the Program.
+
+In addition, mere aggregation of another work not based on the Program
+with the Program (or with a work based on the Program) on a volume of
+a storage or distribution medium does not bring the other work under
+the scope of this License.
+
+ 3. You may copy and distribute the Program (or a work based on it,
+under Section 2) in object code or executable form under the terms of
+Sections 1 and 2 above provided that you also do one of the following:
+
+ a) Accompany it with the complete corresponding machine-readable
+ source code, which must be distributed under the terms of Sections
+ 1 and 2 above on a medium customarily used for software interchange; or,
+
+ b) Accompany it with a written offer, valid for at least three
+ years, to give any third party, for a charge no more than your
+ cost of physically performing source distribution, a complete
+ machine-readable copy of the corresponding source code, to be
+ distributed under the terms of Sections 1 and 2 above on a medium
+ customarily used for software interchange; or,
+
+ c) Accompany it with the information you received as to the offer
+ to distribute corresponding source code. (This alternative is
+ allowed only for noncommercial distribution and only if you
+ received the program in object code or executable form with such
+ an offer, in accord with Subsection b above.)
+
+The source code for a work means the preferred form of the work for
+making modifications to it. For an executable work, complete source
+code means all the source code for all modules it contains, plus any
+associated interface definition files, plus the scripts used to
+control compilation and installation of the executable. However, as a
+special exception, the source code distributed need not include
+anything that is normally distributed (in either source or binary
+form) with the major components (compiler, kernel, and so on) of the
+operating system on which the executable runs, unless that component
+itself accompanies the executable.
+
+If distribution of executable or object code is made by offering
+access to copy from a designated place, then offering equivalent
+access to copy the source code from the same place counts as
+distribution of the source code, even though third parties are not
+compelled to copy the source along with the object code.
+
+ 4. You may not copy, modify, sublicense, or distribute the Program
+except as expressly provided under this License. Any attempt
+otherwise to copy, modify, sublicense or distribute the Program is
+void, and will automatically terminate your rights under this License.
+However, parties who have received copies, or rights, from you under
+this License will not have their licenses terminated so long as such
+parties remain in full compliance.
+
+ 5. You are not required to accept this License, since you have not
+signed it. However, nothing else grants you permission to modify or
+distribute the Program or its derivative works. These actions are
+prohibited by law if you do not accept this License. Therefore, by
+modifying or distributing the Program (or any work based on the
+Program), you indicate your acceptance of this License to do so, and
+all its terms and conditions for copying, distributing or modifying
+the Program or works based on it.
+
+ 6. Each time you redistribute the Program (or any work based on the
+Program), the recipient automatically receives a license from the
+original licensor to copy, distribute or modify the Program subject to
+these terms and conditions. You may not impose any further
+restrictions on the recipients' exercise of the rights granted herein.
+You are not responsible for enforcing compliance by third parties to
+this License.
+
+ 7. If, as a consequence of a court judgment or allegation of patent
+infringement or for any other reason (not limited to patent issues),
+conditions are imposed on you (whether by court order, agreement or
+otherwise) that contradict the conditions of this License, they do not
+excuse you from the conditions of this License. If you cannot
+distribute so as to satisfy simultaneously your obligations under this
+License and any other pertinent obligations, then as a consequence you
+may not distribute the Program at all. For example, if a patent
+license would not permit royalty-free redistribution of the Program by
+all those who receive copies directly or indirectly through you, then
+the only way you could satisfy both it and this License would be to
+refrain entirely from distribution of the Program.
+
+If any portion of this section is held invalid or unenforceable under
+any particular circumstance, the balance of the section is intended to
+apply and the section as a whole is intended to apply in other
+circumstances.
+
+It is not the purpose of this section to induce you to infringe any
+patents or other property right claims or to contest validity of any
+such claims; this section has the sole purpose of protecting the
+integrity of the free software distribution system, which is
+implemented by public license practices. Many people have made
+generous contributions to the wide range of software distributed
+through that system in reliance on consistent application of that
+system; it is up to the author/donor to decide if he or she is willing
+to distribute software through any other system and a licensee cannot
+impose that choice.
+
+This section is intended to make thoroughly clear what is believed to
+be a consequence of the rest of this License.
+
+ 8. If the distribution and/or use of the Program is restricted in
+certain countries either by patents or by copyrighted interfaces, the
+original copyright holder who places the Program under this License
+may add an explicit geographical distribution limitation excluding
+those countries, so that distribution is permitted only in or among
+countries not thus excluded. In such case, this License incorporates
+the limitation as if written in the body of this License.
+
+ 9. The Free Software Foundation may publish revised and/or new versions
+of the General Public License from time to time. Such new versions will
+be similar in spirit to the present version, but may differ in detail to
+address new problems or concerns.
+
+Each version is given a distinguishing version number. If the Program
+specifies a version number of this License which applies to it and "any
+later version", you have the option of following the terms and conditions
+either of that version or of any later version published by the Free
+Software Foundation. If the Program does not specify a version number of
+this License, you may choose any version ever published by the Free Software
+Foundation.
+
+ 10. If you wish to incorporate parts of the Program into other free
+programs whose distribution conditions are different, write to the author
+to ask for permission. For software which is copyrighted by the Free
+Software Foundation, write to the Free Software Foundation; we sometimes
+make exceptions for this. Our decision will be guided by the two goals
+of preserving the free status of all derivatives of our free software and
+of promoting the sharing and reuse of software generally.
+
+ NO WARRANTY
+
+ 11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
+FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN
+OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
+PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED
+OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS
+TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE
+PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING,
+REPAIR OR CORRECTION.
+
+ 12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
+REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,
+INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING
+OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED
+TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
+YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
+PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
+POSSIBILITY OF SUCH DAMAGES.
+
+ END OF TERMS AND CONDITIONS
+
+ How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+ To do so, attach the following notices to the program. It is safest
+to attach them to the start of each source file to most effectively
+convey the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+ <one line to give the program's name and a brief idea of what it does.>
+ Copyright (C) 19yy <name of author>
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation; either version 2 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program; see the file COPYING. If not, write to
+ the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA.
+
+Also add information on how to contact you by electronic and paper mail.
+
+If the program is interactive, make it output a short notice like this
+when it starts in an interactive mode:
+
+ Gnomovision version 69, Copyright (C) 19yy name of author
+ Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+ This is free software, and you are welcome to redistribute it
+ under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License. Of course, the commands you use may
+be called something other than `show w' and `show c'; they could even be
+mouse-clicks or menu items--whatever suits your program.
+
+You should also get your employer (if you work as a programmer) or your
+school, if any, to sign a "copyright disclaimer" for the program, if
+necessary. Here is a sample; alter the names:
+
+ Yoyodyne, Inc., hereby disclaims all copyright interest in the program
+ `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+ <signature of Ty Coon>, 1 April 1989
+ Ty Coon, President of Vice
+
+This General Public License does not permit incorporating your program into
+proprietary programs. If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library. If this is what you want to do, use the GNU Library General
+Public License instead of this License.
diff --git a/Carpet/Carpet/COPYING b/Carpet/Carpet/COPYING
new file mode 100644
index 000000000..1942c4334
--- /dev/null
+++ b/Carpet/Carpet/COPYING
@@ -0,0 +1,341 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 59 Temple Place - Suite 330
+ Boston, MA 02111-1307, USA.
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
+
+ The licenses for most software are designed to take away your
+freedom to share and change it. By contrast, the GNU General Public
+License is intended to guarantee your freedom to share and change free
+software--to make sure the software is free for all its users. This
+General Public License applies to most of the Free Software
+Foundation's software and to any other program whose authors commit to
+using it. (Some other Free Software Foundation software is covered by
+the GNU Library General Public License instead.) You can apply it to
+your programs, too.
+
+ When we speak of free software, we are referring to freedom, not
+price. Our General Public Licenses are designed to make sure that you
+have the freedom to distribute copies of free software (and charge for
+this service if you wish), that you receive source code or can get it
+if you want it, that you can change the software or use pieces of it
+in new free programs; and that you know you can do these things.
+
+ To protect your rights, we need to make restrictions that forbid
+anyone to deny you these rights or to ask you to surrender the rights.
+These restrictions translate to certain responsibilities for you if you
+distribute copies of the software, or if you modify it.
+
+ For example, if you distribute copies of such a program, whether
+gratis or for a fee, you must give the recipients all the rights that
+you have. You must make sure that they, too, receive or can get the
+source code. And you must show them these terms so they know their
+rights.
+
+ We protect your rights with two steps: (1) copyright the software, and
+(2) offer you this license which gives you legal permission to copy,
+distribute and/or modify the software.
+
+ Also, for each author's protection and ours, we want to make certain
+that everyone understands that there is no warranty for this free
+software. If the software is modified by someone else and passed on, we
+want its recipients to know that what they have is not the original, so
+that any problems introduced by others will not reflect on the original
+authors' reputations.
+
+ Finally, any free program is threatened constantly by software
+patents. We wish to avoid the danger that redistributors of a free
+program will individually obtain patent licenses, in effect making the
+program proprietary. To prevent this, we have made it clear that any
+patent must be licensed for everyone's free use or not licensed at all.
+
+ The precise terms and conditions for copying, distribution and
+modification follow.
+
+ GNU GENERAL PUBLIC LICENSE
+ TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
+
+ 0. This License applies to any program or other work which contains
+a notice placed by the copyright holder saying it may be distributed
+under the terms of this General Public License. The "Program", below,
+refers to any such program or work, and a "work based on the Program"
+means either the Program or any derivative work under copyright law:
+that is to say, a work containing the Program or a portion of it,
+either verbatim or with modifications and/or translated into another
+language. (Hereinafter, translation is included without limitation in
+the term "modification".) Each licensee is addressed as "you".
+
+Activities other than copying, distribution and modification are not
+covered by this License; they are outside its scope. The act of
+running the Program is not restricted, and the output from the Program
+is covered only if its contents constitute a work based on the
+Program (independent of having been made by running the Program).
+Whether that is true depends on what the Program does.
+
+ 1. You may copy and distribute verbatim copies of the Program's
+source code as you receive it, in any medium, provided that you
+conspicuously and appropriately publish on each copy an appropriate
+copyright notice and disclaimer of warranty; keep intact all the
+notices that refer to this License and to the absence of any warranty;
+and give any other recipients of the Program a copy of this License
+along with the Program.
+
+You may charge a fee for the physical act of transferring a copy, and
+you may at your option offer warranty protection in exchange for a fee.
+
+ 2. You may modify your copy or copies of the Program or any portion
+of it, thus forming a work based on the Program, and copy and
+distribute such modifications or work under the terms of Section 1
+above, provided that you also meet all of these conditions:
+
+ a) You must cause the modified files to carry prominent notices
+ stating that you changed the files and the date of any change.
+
+ b) You must cause any work that you distribute or publish, that in
+ whole or in part contains or is derived from the Program or any
+ part thereof, to be licensed as a whole at no charge to all third
+ parties under the terms of this License.
+
+ c) If the modified program normally reads commands interactively
+ when run, you must cause it, when started running for such
+ interactive use in the most ordinary way, to print or display an
+ announcement including an appropriate copyright notice and a
+ notice that there is no warranty (or else, saying that you provide
+ a warranty) and that users may redistribute the program under
+ these conditions, and telling the user how to view a copy of this
+ License. (Exception: if the Program itself is interactive but
+ does not normally print such an announcement, your work based on
+ the Program is not required to print an announcement.)
+
+These requirements apply to the modified work as a whole. If
+identifiable sections of that work are not derived from the Program,
+and can be reasonably considered independent and separate works in
+themselves, then this License, and its terms, do not apply to those
+sections when you distribute them as separate works. But when you
+distribute the same sections as part of a whole which is a work based
+on the Program, the distribution of the whole must be on the terms of
+this License, whose permissions for other licensees extend to the
+entire whole, and thus to each and every part regardless of who wrote it.
+
+Thus, it is not the intent of this section to claim rights or contest
+your rights to work written entirely by you; rather, the intent is to
+exercise the right to control the distribution of derivative or
+collective works based on the Program.
+
+In addition, mere aggregation of another work not based on the Program
+with the Program (or with a work based on the Program) on a volume of
+a storage or distribution medium does not bring the other work under
+the scope of this License.
+
+ 3. You may copy and distribute the Program (or a work based on it,
+under Section 2) in object code or executable form under the terms of
+Sections 1 and 2 above provided that you also do one of the following:
+
+ a) Accompany it with the complete corresponding machine-readable
+ source code, which must be distributed under the terms of Sections
+ 1 and 2 above on a medium customarily used for software interchange; or,
+
+ b) Accompany it with a written offer, valid for at least three
+ years, to give any third party, for a charge no more than your
+ cost of physically performing source distribution, a complete
+ machine-readable copy of the corresponding source code, to be
+ distributed under the terms of Sections 1 and 2 above on a medium
+ customarily used for software interchange; or,
+
+ c) Accompany it with the information you received as to the offer
+ to distribute corresponding source code. (This alternative is
+ allowed only for noncommercial distribution and only if you
+ received the program in object code or executable form with such
+ an offer, in accord with Subsection b above.)
+
+The source code for a work means the preferred form of the work for
+making modifications to it. For an executable work, complete source
+code means all the source code for all modules it contains, plus any
+associated interface definition files, plus the scripts used to
+control compilation and installation of the executable. However, as a
+special exception, the source code distributed need not include
+anything that is normally distributed (in either source or binary
+form) with the major components (compiler, kernel, and so on) of the
+operating system on which the executable runs, unless that component
+itself accompanies the executable.
+
+If distribution of executable or object code is made by offering
+access to copy from a designated place, then offering equivalent
+access to copy the source code from the same place counts as
+distribution of the source code, even though third parties are not
+compelled to copy the source along with the object code.
+
+ 4. You may not copy, modify, sublicense, or distribute the Program
+except as expressly provided under this License. Any attempt
+otherwise to copy, modify, sublicense or distribute the Program is
+void, and will automatically terminate your rights under this License.
+However, parties who have received copies, or rights, from you under
+this License will not have their licenses terminated so long as such
+parties remain in full compliance.
+
+ 5. You are not required to accept this License, since you have not
+signed it. However, nothing else grants you permission to modify or
+distribute the Program or its derivative works. These actions are
+prohibited by law if you do not accept this License. Therefore, by
+modifying or distributing the Program (or any work based on the
+Program), you indicate your acceptance of this License to do so, and
+all its terms and conditions for copying, distributing or modifying
+the Program or works based on it.
+
+ 6. Each time you redistribute the Program (or any work based on the
+Program), the recipient automatically receives a license from the
+original licensor to copy, distribute or modify the Program subject to
+these terms and conditions. You may not impose any further
+restrictions on the recipients' exercise of the rights granted herein.
+You are not responsible for enforcing compliance by third parties to
+this License.
+
+ 7. If, as a consequence of a court judgment or allegation of patent
+infringement or for any other reason (not limited to patent issues),
+conditions are imposed on you (whether by court order, agreement or
+otherwise) that contradict the conditions of this License, they do not
+excuse you from the conditions of this License. If you cannot
+distribute so as to satisfy simultaneously your obligations under this
+License and any other pertinent obligations, then as a consequence you
+may not distribute the Program at all. For example, if a patent
+license would not permit royalty-free redistribution of the Program by
+all those who receive copies directly or indirectly through you, then
+the only way you could satisfy both it and this License would be to
+refrain entirely from distribution of the Program.
+
+If any portion of this section is held invalid or unenforceable under
+any particular circumstance, the balance of the section is intended to
+apply and the section as a whole is intended to apply in other
+circumstances.
+
+It is not the purpose of this section to induce you to infringe any
+patents or other property right claims or to contest validity of any
+such claims; this section has the sole purpose of protecting the
+integrity of the free software distribution system, which is
+implemented by public license practices. Many people have made
+generous contributions to the wide range of software distributed
+through that system in reliance on consistent application of that
+system; it is up to the author/donor to decide if he or she is willing
+to distribute software through any other system and a licensee cannot
+impose that choice.
+
+This section is intended to make thoroughly clear what is believed to
+be a consequence of the rest of this License.
+
+ 8. If the distribution and/or use of the Program is restricted in
+certain countries either by patents or by copyrighted interfaces, the
+original copyright holder who places the Program under this License
+may add an explicit geographical distribution limitation excluding
+those countries, so that distribution is permitted only in or among
+countries not thus excluded. In such case, this License incorporates
+the limitation as if written in the body of this License.
+
+ 9. The Free Software Foundation may publish revised and/or new versions
+of the General Public License from time to time. Such new versions will
+be similar in spirit to the present version, but may differ in detail to
+address new problems or concerns.
+
+Each version is given a distinguishing version number. If the Program
+specifies a version number of this License which applies to it and "any
+later version", you have the option of following the terms and conditions
+either of that version or of any later version published by the Free
+Software Foundation. If the Program does not specify a version number of
+this License, you may choose any version ever published by the Free Software
+Foundation.
+
+ 10. If you wish to incorporate parts of the Program into other free
+programs whose distribution conditions are different, write to the author
+to ask for permission. For software which is copyrighted by the Free
+Software Foundation, write to the Free Software Foundation; we sometimes
+make exceptions for this. Our decision will be guided by the two goals
+of preserving the free status of all derivatives of our free software and
+of promoting the sharing and reuse of software generally.
+
+ NO WARRANTY
+
+ 11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
+FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN
+OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
+PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED
+OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS
+TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE
+PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING,
+REPAIR OR CORRECTION.
+
+ 12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
+REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,
+INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING
+OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED
+TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
+YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
+PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
+POSSIBILITY OF SUCH DAMAGES.
+
+ END OF TERMS AND CONDITIONS
+
+ How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+ To do so, attach the following notices to the program. It is safest
+to attach them to the start of each source file to most effectively
+convey the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+ <one line to give the program's name and a brief idea of what it does.>
+ Copyright (C) 19yy <name of author>
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation; either version 2 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program; see the file COPYING. If not, write to
+ the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA.
+
+Also add information on how to contact you by electronic and paper mail.
+
+If the program is interactive, make it output a short notice like this
+when it starts in an interactive mode:
+
+ Gnomovision version 69, Copyright (C) 19yy name of author
+ Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+ This is free software, and you are welcome to redistribute it
+ under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License. Of course, the commands you use may
+be called something other than `show w' and `show c'; they could even be
+mouse-clicks or menu items--whatever suits your program.
+
+You should also get your employer (if you work as a programmer) or your
+school, if any, to sign a "copyright disclaimer" for the program, if
+necessary. Here is a sample; alter the names:
+
+ Yoyodyne, Inc., hereby disclaims all copyright interest in the program
+ `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+ <signature of Ty Coon>, 1 April 1989
+ Ty Coon, President of Vice
+
+This General Public License does not permit incorporating your program into
+proprietary programs. If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library. If this is what you want to do, use the GNU Library General
+Public License instead of this License.
diff --git a/Carpet/Carpet/README b/Carpet/Carpet/README
new file mode 100644
index 000000000..81065fb42
--- /dev/null
+++ b/Carpet/Carpet/README
@@ -0,0 +1,9 @@
+Cactus Code Thorn Carpet
+Authors : Erik Schnetter <schnetter@uni-tuebingen.de>
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/README,v 1.2 2004/01/25 14:57:27 schnetter Exp $
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+This thorn provides a parallel AMR (adaptive mesh refinement) driver
+with MPI.
diff --git a/Carpet/Carpet/configuration.ccl b/Carpet/Carpet/configuration.ccl
new file mode 100644
index 000000000..3880e348b
--- /dev/null
+++ b/Carpet/Carpet/configuration.ccl
@@ -0,0 +1,12 @@
+# Configuration definitions for thorn Carpet
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/configuration.ccl,v 1.5 2004/06/08 21:09:25 schnetter Exp $
+
+PROVIDES Carpet
+{
+ SCRIPT
+ LANG
+}
+
+REQUIRES IOUtil CarpetLib
+
+REQUIRES THORNS: IOUtil CarpetLib
diff --git a/Carpet/Carpet/doc/TODO b/Carpet/Carpet/doc/TODO
new file mode 100644
index 000000000..00eba8d0a
--- /dev/null
+++ b/Carpet/Carpet/doc/TODO
@@ -0,0 +1,17 @@
+-*-Text-*-
+$Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/doc/TODO,v 1.5 2001/04/23 08:10:11 schnetter Exp $
+
+CarpetSlab: Add support for diagonal lines
+
+Carpet: Add support for a shadow hierarchy
+
+Carpet: Distribute processes in all directions, not only z
+
+Carpet: Test suite
+
+Carpet: Finish documentation
+
+CarpetIOASCII: put more information into output files
+
+Carpet: Allow en-/disabling storage for grid functions with one time
+level
diff --git a/Carpet/Carpet/doc/schedule.tex b/Carpet/Carpet/doc/schedule.tex
new file mode 100644
index 000000000..fcb529ae2
--- /dev/null
+++ b/Carpet/Carpet/doc/schedule.tex
@@ -0,0 +1,141 @@
+% $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/doc/schedule.tex,v 1.3 2004/02/09 12:42:03 schnetter Exp $
+\documentclass{article}
+\begin{document}
+\section{The PUGH schedule:}
+
+\fbox{\begin{minipage}[t]{\textwidth}
+STARTUP\\
+WRAGH\\
+PARAMCHECK\\
+BASEGRID
+\end{minipage}}
+\\
+\fbox{\begin{minipage}[t]{\textwidth}
+Recover? (yes/no)
+\\
+\fbox{\begin{minipage}[t]{0.475\textwidth}
+INITIAL\\
+POSTINITIAL\\
+POSTSTEP
+\end{minipage}}
+\fbox{\begin{minipage}[t]{0.475\textwidth}
+RECOVER\_VARIABLES\\
+POST\_RECOVER\_VARIABLES
+\end{minipage}}
+\end{minipage}}
+\\
+\fbox{\begin{minipage}[t]{\textwidth}
+CPINITIAL\\
+ANALYSIS\\
+OutputGH
+\end{minipage}}
+\\
+\fbox{\begin{minipage}[t]{0.1\textwidth}
+main\\
+loop
+\end{minipage}
+\fbox{\begin{minipage}[t]{0.87\textwidth}
+Advance time\\
+PRESTEP\\
+EVOL\\
+POSTSTEP\\
+CHECKPOINT\\
+ANALYSIS\\
+OutputGH
+\end{minipage}}}
+\\
+\fbox{\begin{minipage}[t]{\textwidth}
+TERMINATE\\
+SHUTDOWN
+\end{minipage}}
+
+
+
+\newpage
+\section{The Carpet schedule:}
+
+\fbox{\begin{minipage}[t]{\textwidth}
+STARTUP\\
+WRAGH\\
+PARAMCHECK\\
+BASEGRID
+\end{minipage}}
+\\
+\fbox{\begin{minipage}[t]{\textwidth}
+Recover? (yes/no)
+\\
+\fbox{\begin{minipage}[t]{0.1\textwidth}
+initial\\
+loop
+\end{minipage}
+\fbox{\begin{minipage}[t]{0.345\textwidth}
+INITIAL\\
+Regrid\\
+$\longrightarrow$ Recurse\\
+Restrict\\
+POSTRESTRICTINITIAL\\
+POSTINITIAL\\
+POSTSTEP
+\end{minipage}}}
+\fbox{\begin{minipage}[t]{0.1\textwidth}
+recover\\
+loop
+\end{minipage}
+\fbox{\begin{minipage}[t]{0.345\textwidth}
+RECOVER\_VARIABLES\\
+POST\_RECOVER\_VARIABLES
+$\longrightarrow$ Recurse
+\end{minipage}}}
+\\
+\fbox{\begin{minipage}[t]{0.47\textwidth}
+3 Time Level Initialisation
+\end{minipage}}
+\end{minipage}}
+\\
+\fbox{\begin{minipage}[t]{0.1\textwidth}
+initial\\
+loop
+\end{minipage}
+\fbox{\begin{minipage}[t]{0.87\textwidth}
+$\longrightarrow$ Recurse\\
+CPINITIAL\\
+ANALYSIS\\
+OutputGH
+\end{minipage}}}
+\\
+\fbox{\begin{minipage}[t]{0.1\textwidth}
+main\\
+loop
+\end{minipage}
+\fbox{\begin{minipage}[t]{0.1\textwidth}
+evol\\
+loop
+\end{minipage}
+\fbox{\begin{minipage}[t]{0.74\textwidth}
+Regrid\\
+Advance time\\
+PRESTEP\\
+EVOL\\
+$\longrightarrow$ Recurse\\
+Restrict\\
+POSTRESTRICT\\
+POSTSTEP\\
+CHECKPOINT\\
+ANALYSIS\\
+OutputGH
+\end{minipage}}}}
+\\
+\fbox{\begin{minipage}[t]{0.1\textwidth}
+shutdown\\
+loop
+\end{minipage}
+\fbox{\begin{minipage}[t]{0.87\textwidth}
+$\longrightarrow$ Recurse\\
+TERMINATE
+\end{minipage}}}
+\\
+\fbox{\begin{minipage}[t]{\textwidth}
+SHUTDOWN
+\end{minipage}}
+
+\end{document}
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diff --git a/Carpet/Carpet/doc/threelev_initdata.tex b/Carpet/Carpet/doc/threelev_initdata.tex
new file mode 100644
index 000000000..db59176b1
--- /dev/null
+++ b/Carpet/Carpet/doc/threelev_initdata.tex
@@ -0,0 +1,107 @@
+\documentclass{article}
+
+\usepackage{epsf}
+\topmargin -0.5in
+\textheight 9.9in
+\oddsidemargin -0.3in
+\leftmargin -1in
+\textwidth 7in
+
+
+\begin{document}
+
+\title{Getting Three Timelevels of FMR Initial Data}
+\author{Scott Hawley}
+\date{June 6, 2002}
+\maketitle
+
+For parabolic interpolation in time, one needs three timelevels worth
+of data on the coarse grid in order to provide boundary data on the
+finer grid. Here we describe one scheme for obtaining these extra
+timelevels of data at the initial time. Essentially, we evolve
+each grid backwards in time by two steps, but we do so rather carefully.
+
+The following diagram shows the scheme. We start with initial
+data for all grids being specified at the current time (Step 1, not
+shown). We then evolve the coarse grid forward one step (Step 2) by
+the timestep $\Delta t$;
+in so doing we first move the coarse grid storage from the current
+timelevel (denoted by `` '' on the right of the first pane in the
+diagram, because variables at the current time receive no suffix
+in Cactus) to the previous timelevel (denoted by ``\_p'') before
+evolving. We then ``flip'' all the timelevels for the coarse grid (l=0),
+meaning
+that we exchange the data on the `` '' and \_p\_p timelevels,
+thus turning the picture upside down.
+We then evolve the coarse grid ``backward'' --- which is really
+just forward but with a timestep of $-\Delta t$. Then we move on
+to the finer grid, evolving and flipping...
+
+Take a look at the diagram. (We use $\tau$ instead of $t$ to denote
+the time, simply because it was easier to do that in the
+drawing program.) After the diagram we give a
+listing of pseudo-code which implements this scheme.
+\begin{center}
+ \epsfxsize=5.5in
+ \epsffile{threelev_initdata.eps}
+\end{center}
+
+\begin{center}
+ \epsfxsize=5.5in
+ \epsffile{threelev_initdata_2.eps}
+\end{center}
+
+Diagram finished.
+
+\pagebreak
+
+Here's some pseudo-code:
+\begin{verbatim}
+
+ int time_dir = 1; //Positive = forward (+t), Negative = backward (-t)
+ int lev;
+
+ // At this point we assume that we have initial data given on
+ // one timelevel, and we want to get data on the other timelevels
+
+ do lev = 0 to MaxLevels-1
+ // Evolve "forward" (which may be backward for lev=1,3,5,7...)
+ Evolve(lev, time_dir*dt(lev))
+
+ flip_timelevels_on_lev_and_coarser(lev)
+ // Keep track of which direction (in time) we're integrating
+ time_dir = -time_dir
+
+ // Evolve in the opposite time-direction
+ Evolve(lev, time_dir*dt(lev))
+ end do
+
+ // Make sure we're pointed backwards, in order to get 2 "previous"
+ // timelevels. We could change the if statement to
+ // "if (mod(MaxLevels,2) == 0)", but I prefer to check time_dir
+ // explicitly, because it's easier to follow and I don't have to
+ // worry about having made a mistake
+ if (time_dir > 0) then
+ flip_timelevels_on_lev_and_coarser(MaxLevels-1)
+ time_dir = -time_dir
+ end if
+
+ // Evolve each level backwards one more timestep
+ do lev = MaxLevels-1 to 0
+ Evolve(lev,-dt(lev))
+ if (lev>0) then
+ Restrict(lev -> lev-1)
+ end if
+ end do
+
+ // Here's where a user can add in extra evolution code if they want
+ // to be extra-careful ("anal"), but remember that you'll be
+ // overwriting the t=0 data so you'll need to re-load it if you do
+ // this.
+
+ // Finally, one last flip to point us forward again
+ flip_all_timelevels()
+ time_dir = -time_dir
+\end{verbatim}
+
+\end{document}
diff --git a/Carpet/Carpet/doc/threelev_initdata_2.eps b/Carpet/Carpet/doc/threelev_initdata_2.eps
new file mode 100644
index 000000000..51b78b396
--- /dev/null
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+gs 1 -1 sc (R) col4 sh gr
+/Symbol ff 240.00 scf sf
+4726 5499 m
+gs 1 -1 sc (t=-Dt) col0 sh gr
+/Symbol ff 240.00 scf sf
+4636 6414 m
+gs 1 -1 sc (t=-2Dt) col0 sh gr
+/Symbol ff 240.00 scf sf
+166 5469 m
+gs 1 -1 sc (t=-Dt) col0 sh gr
+/Helvetica-Bold-iso ff 240.00 scf sf
+2146 5079 m
+gs 1 -1 sc (\(*\)) col4 sh gr
+/Helvetica-Bold-iso ff 240.00 scf sf
+6646 1164 m
+gs 1 -1 sc (\(*\)) col4 sh gr
+/Times-Bold-iso ff 270.00 scf sf
+2176 6684 m
+gs 1 -1 sc (10) col0 sh gr
+/Times-Bold-iso ff 270.00 scf sf
+6736 6684 m
+gs 1 -1 sc (11) col0 sh gr
+/Helvetica-Bold-iso ff 240.00 scf sf
+1261 7839 m
+gs 1 -1 sc (R = Restriction) col4 sh gr
+/Helvetica-Bold-iso ff 240.00 scf sf
+1216 8259 m
+gs 1 -1 sc (\(*\) = Can evolve finer levels further, if feeling "anal") col4 sh gr
+/Times-Roman-iso ff 360.00 scf sf
+4276 4569 m
+gs 1 -1 sc 270.0 rot (FLIP ALL) col0 sh gr
+/Symbol ff 240.00 scf sf
+360 6390 m
+gs 1 -1 sc (t=0) col0 sh gr
+/Symbol ff 240.00 scf sf
+45 4545 m
+gs 1 -1 sc (t=-2Dt) col0 sh gr
+/Times-Bold-iso ff 270.00 scf sf
+2205 3060 m
+gs 1 -1 sc (8) col0 sh gr
+/Times-Bold-iso ff 270.00 scf sf
+6750 3015 m
+gs 1 -1 sc (9) col0 sh gr
+/Helvetica-iso ff 195.00 scf sf
+3195 6255 m
+gs 1 -1 sc (_p_p) col1 sh gr
+/Helvetica-iso ff 195.00 scf sf
+3195 5805 m
+gs 1 -1 sc (_p) col1 sh gr
+/Helvetica-iso ff 195.00 scf sf
+7695 4950 m
+gs 1 -1 sc (_p) col1 sh gr
+/Helvetica-iso ff 195.00 scf sf
+7695 5400 m
+gs 1 -1 sc (_p_p) col1 sh gr
+/Helvetica-iso ff 195.00 scf sf
+3195 1755 m
+gs 1 -1 sc (_p) col1 sh gr
+/Helvetica-iso ff 195.00 scf sf
+3195 2205 m
+gs 1 -1 sc (_p_p) col1 sh gr
+/Helvetica-iso ff 195.00 scf sf
+7740 1305 m
+gs 1 -1 sc (_p) col1 sh gr
+/Helvetica-iso ff 195.00 scf sf
+7695 1755 m
+gs 1 -1 sc (_p_p) col1 sh gr
+$F2psEnd
+rs
diff --git a/Carpet/Carpet/interface.ccl b/Carpet/Carpet/interface.ccl
new file mode 100644
index 000000000..1e59767be
--- /dev/null
+++ b/Carpet/Carpet/interface.ccl
@@ -0,0 +1,89 @@
+# Interface definition for thorn Carpet
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/interface.ccl,v 1.18 2004/06/08 21:09:25 schnetter Exp $
+
+IMPLEMENTS: Driver
+
+include header: carpet_public.hh in carpet.hh
+include header: carpet_public.h in carpet.h
+
+uses include header: defs.hh
+uses include header: dist.hh
+
+uses include header: bbox.hh
+uses include header: bboxset.hh
+uses include header: vect.hh
+
+uses include header: data.hh
+uses include header: dh.hh
+uses include header: gf.hh
+uses include header: ggf.hh
+uses include header: gh.hh
+uses include header: th.hh
+
+uses include header: operators.hh
+
+
+
+# Provide the function to en-/disable prolongation
+CCTK_INT FUNCTION EnableProlongating(CCTK_INT IN flag)
+PROVIDES FUNCTION EnableProlongating WITH CarpetEnableProlongating LANGUAGE C
+
+
+
+# The location of the boundary points
+CCTK_INT FUNCTION GetBoundarySpecification \
+ (CCTK_INT IN size, \
+ CCTK_INT OUT ARRAY nboundaryzones, \
+ CCTK_INT OUT ARRAY is_internal, \
+ CCTK_INT OUT ARRAY is_staggered, \
+ CCTK_INT OUT ARRAY shiftout)
+USES FUNCTION GetBoundarySpecification
+
+# The overall size of the domain
+CCTK_INT FUNCTION GetDomainSpecification \
+ (CCTK_INT IN size, \
+ CCTK_REAL OUT ARRAY physical_min, \
+ CCTK_REAL OUT ARRAY physical_max, \
+ CCTK_REAL OUT ARRAY interior_min, \
+ CCTK_REAL OUT ARRAY interior_max, \
+ CCTK_REAL OUT ARRAY exterior_min, \
+ CCTK_REAL OUT ARRAY exterior_max, \
+ CCTK_REAL OUT ARRAY spacing)
+USES FUNCTION GetDomainSpecification
+
+# Conversion between boundary types
+CCTK_INT FUNCTION ConvertFromPhysicalBoundary \
+ (CCTK_INT IN size, \
+ CCTK_REAL IN ARRAY physical_min, \
+ CCTK_REAL IN ARRAY physical_max, \
+ CCTK_REAL OUT ARRAY interior_min, \
+ CCTK_REAL OUT ARRAY interior_max, \
+ CCTK_REAL OUT ARRAY exterior_min, \
+ CCTK_REAL OUT ARRAY exterior_max, \
+ CCTK_REAL IN ARRAY spacing)
+USES FUNCTION ConvertFromPhysicalBoundary
+
+CCTK_INT FUNCTION ConvertFromExteriorBoundary \
+ (CCTK_INT IN size, \
+ CCTK_REAL OUT ARRAY physical_min, \
+ CCTK_REAL OUT ARRAY physical_max, \
+ CCTK_REAL OUT ARRAY interior_min, \
+ CCTK_REAL OUT ARRAY interior_max, \
+ CCTK_REAL IN ARRAY exterior_min, \
+ CCTK_REAL IN ARRAY exterior_max, \
+ CCTK_REAL IN ARRAY spacing)
+USES FUNCTION ConvertFromExteriorBoundary
+
+
+
+# The true prototype of the routine below:
+# int Carpet_Regrid (const cGH * cctkGH,
+# gh<dim>::rexts * bbsss,
+# gh<dim>::rbnds * obss,
+# gh<dim>::rprocs * pss);
+CCTK_INT FUNCTION Carpet_Regrid (CCTK_POINTER_TO_CONST IN cctkGH, \
+ CCTK_POINTER IN bbsss, \
+ CCTK_POINTER IN obss, \
+ CCTK_POINTER IN pss, \
+ CCTK_INT IN force)
+USES FUNCTION Carpet_Regrid
diff --git a/Carpet/Carpet/options/README b/Carpet/Carpet/options/README
new file mode 100644
index 000000000..df42f880a
--- /dev/null
+++ b/Carpet/Carpet/options/README
@@ -0,0 +1,9 @@
+$Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/options/README,v 1.1 2001/04/06 10:37:35 schnetter Exp $
+
+This directory contains sample options files for various architectures
+and compilers. The syntax of the file names is
+
+ carpet-MACHINE-COMPILER
+
+so that e. g. carpet-lilypong-lf95 is a configuration for the machine
+Lilypond, using the LF95 compiler.
diff --git a/Carpet/Carpet/options/carpet-because b/Carpet/Carpet/options/carpet-because
new file mode 100644
index 000000000..c7df166af
--- /dev/null
+++ b/Carpet/Carpet/options/carpet-because
@@ -0,0 +1,29 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/options/carpet-because,v 1.1 2003/04/30 12:46:15 schnetter Exp $
+
+CPP = cpp -traditional -DCARPET_REAL
+F77 = g77
+F90 = g77
+
+CXXFLAGS = -DCARPET_REAL -ftemplate-depth-30
+
+C_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro
+CXX_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro
+F90_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro -malign-double
+F77_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro -malign-double
+
+C_WARN_FLAGS = -Wall -Wpointer-arith -Wbad-function-cast -Wcast-qual -Wcast-align -Wstrict-prototypes -Wmissing-declarations
+CXX_WARN_FLAGS = -Wall -Wpointer-arith -Wbad-function-cast -Wcast-qual -Wcast-align -Wstrict-prototypes -Wmissing-declarations
+F90_WARN_FLAGS = -Wall
+F77_WARN_FLAGS = -Wall
+
+SYS_INC_DIRS = /usr/include/hdf /home/eschnett/FlexIO
+LIBDIRS = /home/eschnett/FlexIO
+LIBS = AMR h5io hdfio hlio ieeeio hdf5 mfhdf df jpeg z crypt g2c m
+
+HDF5 = yes
+MPI = MPICH
+
+DEBUG = yes
+
+# PTHREADS
+PTHREADS = no
diff --git a/Carpet/Carpet/options/carpet-harpo-gcc b/Carpet/Carpet/options/carpet-harpo-gcc
new file mode 100644
index 000000000..ba494a449
--- /dev/null
+++ b/Carpet/Carpet/options/carpet-harpo-gcc
@@ -0,0 +1,38 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/options/carpet-harpo-gcc,v 1.4 2002/09/08 20:38:35 schnetter Exp $
+
+CC = gcc
+CXX = g++
+F77 = g77
+F90 = g77
+LD = g++
+
+#CC = /u1/eschnett/bin/gcc
+#CXX = /u1/eschnett/bin/g++
+#F77 = /u1/eschnett/bin/g77
+#F90 = /u1/eschnett/bin/g77
+#LD = /u1/eschnett/bin/g++
+
+CFLAGS =
+CXXFLAGS = -ftemplate-depth-30 -DMPIPP_H
+FFLAGS =
+F90FLAGS =
+
+C_OPTIMISE_FLAGS = -O3 -funroll-loops
+CXX_OPTIMISE_FLAGS = -O3 -funroll-loops
+F90_OPTIMISE_FLAGS = -O3 -funroll-loops -malign-double
+F77_OPTIMISE_FLAGS = -O3 -funroll-loops -malign-double
+
+C_WARN_FLAGS = -Wall -Wpointer-arith -Wbad-function-cast -Wcast-qual -Wcast-align -Wstrict-prototypes -Wmissing-declarations -Winline
+CXX_WARN_FLAGS = -Wall -Wpointer-arith -Wbad-function-cast -Wcast-qual -Wcast-align -Wstrict-prototypes -Wmissing-declarations -Winline
+F90_WARN_FLAGS = -Wall
+F77_WARN_FLAGS = -Wall
+
+SYS_INC_DIRS = /u1/eschnett/include /u1/eschnett/scratch/FlexIO
+LIBDIRS = /u1/eschnett/lib /u1/eschnett/scratch/FlexIO
+LIBS = AMR h5io hdfio hlio ieeeio hdf5 mfhdf df jpeg z
+
+HDF5 = yes
+MPI = NATIVE
+
+OPTIMISE = no
+DEBUG = yes
diff --git a/Carpet/Carpet/options/carpet-harpo-sgi b/Carpet/Carpet/options/carpet-harpo-sgi
new file mode 100644
index 000000000..64fcb11b8
--- /dev/null
+++ b/Carpet/Carpet/options/carpet-harpo-sgi
@@ -0,0 +1,31 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/options/carpet-harpo-sgi,v 1.5 2002/06/07 20:44:03 schnetter Exp $
+
+CPP = /lib/cpp -DMPIPP_H
+
+CFLAGS = -mips4 -r12000 -64 -LANG:restrict=ON
+CXXFLAGS = -mips4 -r12000 -64 -LANG:restrict=ON -LANG:std -LANG:vla=ON -no_auto_include -ptused -DMPIPP_H
+F90FLAGS = -mips4 -r12000 -64
+F77FLAGS = -mips4 -r12000 -64
+LDFLAGS = -LANG:std -LANG:vla=ON -64 -mips4 -r12000 -Wl,"-woff 84","-woff 85"
+
+C_OPTIMISE_FLAGS = -O3 -OPT:Olimit=0
+CXX_OPTIMISE_FLAGS = -O3 -OPT:Olimit=0
+F77_OPTIMISE_FLAGS = -O3 -OPT:Olimit=0
+F90_OPTIMISE_FLAGS = -O3 -OPT:Olimit=0
+
+C_DEBUG_FLAGS = -g3
+CXX_DEBUG_FLAGS = -g3
+F77_DEBUG_FLAGS = -g3
+F90_DEBUG_FLAGS = -g3
+
+SYS_INC_DIRS = /usr/local/hdf/include /u1/eschnett/FlexIO
+LIBDIRS = /usr/local/hdf/lib /u1/eschnett/FlexIO
+LIBS = AMR h5io hdfio hlio ieeeio ffio fpe fortran ftn ftn90 hdf5 mfhdf df jpeg z
+
+HDF5 = yes
+HDF5_DIR = /usr/local/hdf5_64
+
+MPI = NATIVE
+
+OPTIMISE = yes
+DEBUG = yes
diff --git a/Carpet/Carpet/options/carpet-hawaii-sgi b/Carpet/Carpet/options/carpet-hawaii-sgi
new file mode 100644
index 000000000..0e3340c47
--- /dev/null
+++ b/Carpet/Carpet/options/carpet-hawaii-sgi
@@ -0,0 +1,27 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/options/carpet-hawaii-sgi,v 1.2 2002/05/05 22:16:56 schnetter Exp $
+
+CPP = /lib/cpp -DMPIPP_H
+
+CXXFLAGS = -LANG:std -LANG:vla=ON -FE:eliminate_duplicate_inline_copies -FE:template_in_elf_section -64 -mips4 -r12000 -no_auto_include -ptused -DMPIPP_H
+LDFLAGS = -LANG:std -LANG:vla=ON -64 -mips4 -r12000 -Wl,"-woff 84","-woff 85"
+
+C_OPTIMISE_FLAGS = -O3 -INLINE -LNO -OPT:Olimit=100000
+CXX_OPTIMISE_FLAGS = -O3 -INLINE -LNO -OPT:Olimit=100000
+F77_OPTIMISE_FLAGS = -O3 -INLINE -LNO -OPT:Olimit=100000
+F90_OPTIMISE_FLAGS = -O3 -INLINE -LNO -OPT:Olimit=100000
+
+C_DEBUG_FLAGS = -g3
+CXX_DEBUG_FLAGS = -g3
+F77_DEBUG_FLAGS = -g3
+F90_DEBUG_FLAGS = -g3
+
+SYS_INC_DIRS = /usr/center/maui/eriks/include /usr/center/maui/eriks/FlexIO
+LIBDIRS = /usr/center/maui/eriks/lib /usr/center/maui/eriks/FlexIO
+LIBS = AMR h5io hdfio hlio ieeeio hdf5 mfhdf df jpeg z
+
+HDF5 = yes
+HDF5_DIR = /usr/center/maui/eriks
+MPI = NATIVE
+
+OPTIMISE = yes
+DEBUG = yes
diff --git a/Carpet/Carpet/options/carpet-lilypond b/Carpet/Carpet/options/carpet-lilypond
new file mode 100644
index 000000000..f36c01245
--- /dev/null
+++ b/Carpet/Carpet/options/carpet-lilypond
@@ -0,0 +1,29 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/options/carpet-lilypond,v 1.9 2002/10/16 17:33:51 schnetter Exp $
+
+CPP = cpp -traditional -DCARPET_REAL
+F77 = g77
+F90 = g77
+
+CXXFLAGS = -DCARPET_REAL -ftemplate-depth-30
+
+C_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro
+CXX_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro
+F90_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro -malign-double
+F77_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro -malign-double
+
+C_WARN_FLAGS = -Wall -Wpointer-arith -Wbad-function-cast -Wcast-qual -Wcast-align -Wstrict-prototypes -Wmissing-declarations
+CXX_WARN_FLAGS = -Wall -Wpointer-arith -Wbad-function-cast -Wcast-qual -Wcast-align -Wstrict-prototypes -Wmissing-declarations
+F90_WARN_FLAGS = -Wall
+F77_WARN_FLAGS = -Wall
+
+SYS_INC_DIRS = /home/eschnett/proj/FlexIO
+LIBDIRS = /home/eschnett/proj/FlexIO
+LIBS = AMR h5io hdfio hlio ieeeio hdf5 mfhdf df jpeg z crypt g2c m
+
+HDF5 = yes
+MPI = MPICH
+
+DEBUG = yes
+
+# PTHREADS
+PTHREADS = yes
diff --git a/Carpet/Carpet/options/carpet-lilypond-debug b/Carpet/Carpet/options/carpet-lilypond-debug
new file mode 100644
index 000000000..3f69bbf0e
--- /dev/null
+++ b/Carpet/Carpet/options/carpet-lilypond-debug
@@ -0,0 +1,31 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/options/carpet-lilypond-debug,v 1.3 2002/10/16 17:33:51 schnetter Exp $
+
+CPP = cpp -traditional -DCARPET_REAL
+F77 = g77
+F90 = g77
+
+CXXFLAGS = -DCARPET_REAL -ftemplate-depth-30
+
+C_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro
+CXX_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro
+F90_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro -malign-double
+F77_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro -malign-double
+
+C_WARN_FLAGS = -Wall -Wpointer-arith -Wbad-function-cast -Wcast-qual -Wcast-align -Wstrict-prototypes -Wmissing-declarations
+CXX_WARN_FLAGS = -Wall -Wpointer-arith -Wbad-function-cast -Wcast-qual -Wcast-align -Wstrict-prototypes -Wmissing-declarations
+F90_WARN_FLAGS = -Wall
+F77_WARN_FLAGS = -Wall
+
+#FLEXIO_DIR = /home/eschnett/proj/FlexIO
+#SYS_INC_DIRS = /home/eschnett/proj/FlexIO
+#LIBDIRS = /home/eschnett/proj/FlexIO
+#LIBS = AMR h5io hdfio hlio ieeeio hdf5 mfhdf df jpeg z crypt g2c m
+
+HDF5 = yes
+MPI = MPICH
+
+DEBUG = yes
+OPTIMISE = no
+
+# PTHREADS
+PTHREADS = yes
diff --git a/Carpet/Carpet/options/carpet-lilypond-gcc32 b/Carpet/Carpet/options/carpet-lilypond-gcc32
new file mode 100644
index 000000000..8c2c29fda
--- /dev/null
+++ b/Carpet/Carpet/options/carpet-lilypond-gcc32
@@ -0,0 +1,35 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/options/carpet-lilypond-gcc32,v 1.4 2002/10/16 17:33:51 schnetter Exp $
+
+CPP = /home/eschnett/gcc32/bin/cpp -traditional -DCARPET_REAL
+CC = /home/eschnett/gcc32/bin/gcc
+CXX = /home/eschnett/gcc32/bin/g++
+F77 = /home/eschnett/gcc32/bin/g77
+F90 = /home/eschnett/gcc32/bin/g77
+
+CFLAGS = -m128bit-long-double -fmessage-length=0
+CXXFLAGS = -m128bit-long-double -fmessage-length=0 -DCARPET_REAL -ftemplate-depth-30
+F77FLAGS = -malign-double -fmessage-length=0
+F90FLAGS = -malign-double -fmessage-length=0
+LDFLAGS = -Wl,-rpath,/home/eschnett/gcc32/lib
+
+C_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentium2
+CXX_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentium2
+F90_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentium2
+F77_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentium2
+
+C_WARN_FLAGS = -Wall -Wpointer-arith -Wbad-function-cast -Wcast-qual -Wcast-align -Wstrict-prototypes -Wmissing-declarations
+CXX_WARN_FLAGS = -Wall -Wpointer-arith -Wbad-function-cast -Wcast-qual -Wcast-align -Wstrict-prototypes -Wmissing-declarations
+F90_WARN_FLAGS = -Wall
+F77_WARN_FLAGS = -Wall
+
+SYS_INC_DIRS = /home/eschnett/proj/FlexIO
+LIBDIRS = /home/eschnett/proj/FlexIO
+LIBS = AMR h5io hdfio hlio ieeeio hdf5 mfhdf df jpeg z crypt g2c m
+
+HDF5 = yes
+MPI = MPICH
+
+DEBUG = yes
+
+# PTHREADS
+PTHREADS = yes
diff --git a/Carpet/Carpet/options/carpet-lilypond-ic b/Carpet/Carpet/options/carpet-lilypond-ic
new file mode 100644
index 000000000..a02cdff0a
--- /dev/null
+++ b/Carpet/Carpet/options/carpet-lilypond-ic
@@ -0,0 +1,50 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/options/carpet-lilypond-ic,v 1.8 2002/11/16 19:10:50 schnetter Exp $
+
+CPP = cpp -traditional -DCARPET_REAL
+CC = icc
+CXX = icc
+F77 = ifc
+F90 = ifc
+LD = icc
+
+LIBDIRS =
+LIBS = intrins IEPCF90 F90 imf m irc cxa cprts cxa
+
+# basic
+CFLAGS = -DCARPET_REAL -c99
+CXXFLAGS = -DCARPET_REAL -c99
+F90FLAGS = -DCARPET_REAL -w95
+F77FLAGS = -DCARPET_REAL -w95
+LDFLAGS = -DCARPET_REAL -g
+
+# debugging
+DEBUG = yes
+C_DEBUG_FLAGS = -g -fp
+CXX_DEBUG_FLAGS = -g -fp
+F77_DEBUG_FLAGS = -g -fp
+F90_DEBUG_FLAGS = -g -fp
+
+# warnings
+#WARN=yes
+C_WARN_FLAGS = -w1
+CXX_WARN_FLAGS = -w1
+F77_WARN_FLAGS =
+F90_WARN_FLAGS =
+
+# optimisation
+OPTIMISE = yes
+C_OPTIMISE_FLAGS = -O3 -tpp6 -xi
+CXX_OPTIMISE_FLAGS = -O3 -tpp6 -xi
+F77_OPTIMISE_FLAGS = -O3 -tpp6
+F90_OPTIMISE_FLAGS = -O3 -tpp6
+
+# HDF
+HDF5 = YES
+HDF5_DIR = /usr/local
+
+# MPI
+MPI = MPICH
+MPICH_DIR = /usr/lib/mpich
+
+# PTHREADS
+PTHREADS = yes
diff --git a/Carpet/Carpet/options/carpet-lilypond-ic-debug b/Carpet/Carpet/options/carpet-lilypond-ic-debug
new file mode 100644
index 000000000..ed8db4dbc
--- /dev/null
+++ b/Carpet/Carpet/options/carpet-lilypond-ic-debug
@@ -0,0 +1,47 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/options/carpet-lilypond-ic-debug,v 1.1 2002/11/16 19:10:50 schnetter Exp $
+
+CPP = cpp -traditional -DCARPET_REAL
+CC = icc
+CXX = icc
+F77 = ifc
+F90 = ifc
+LD = icc
+
+LIBDIRS =
+LIBS = intrins IEPCF90 F90 imf m irc cxa cprts cxa
+
+# basic
+CFLAGS = -DCARPET_REAL -c99
+CXXFLAGS = -DCARPET_REAL -c99
+F90FLAGS = -DCARPET_REAL -w95
+F77FLAGS = -DCARPET_REAL -w95
+LDFLAGS = -DCARPET_REAL -g
+
+# debugging
+DEBUG = yes
+C_DEBUG_FLAGS = -g -fp
+CXX_DEBUG_FLAGS = -g -fp
+F77_DEBUG_FLAGS = -g -fp
+F90_DEBUG_FLAGS = -g -fp
+
+# warnings
+#WARN=yes
+C_WARN_FLAGS = -w1
+CXX_WARN_FLAGS = -w1
+F77_WARN_FLAGS =
+F90_WARN_FLAGS =
+
+# optimisation
+OPTIMISE = yes
+C_OPTIMISE_FLAGS = -O0 -tpp6 -xi
+CXX_OPTIMISE_FLAGS = -O0 -tpp6 -xi
+F77_OPTIMISE_FLAGS = -O0 -tpp6
+F90_OPTIMISE_FLAGS = -O0 -tpp6
+
+# HDF
+HDF5 = YES
+HDF5_DIR = /usr/local
+
+# MPI
+MPI = MPICH
+MPICH_DIR = /usr/lib/mpich
diff --git a/Carpet/Carpet/options/carpet-lilypond-ic7 b/Carpet/Carpet/options/carpet-lilypond-ic7
new file mode 100644
index 000000000..51ad8cbfc
--- /dev/null
+++ b/Carpet/Carpet/options/carpet-lilypond-ic7
@@ -0,0 +1,50 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/options/carpet-lilypond-ic7,v 1.5 2002/11/16 19:10:50 schnetter Exp $
+
+CPP = cpp -traditional -DCARPET_REAL
+CC = /opt/intel/compiler70/ia32/bin/icc
+CXX = /opt/intel/compiler70/ia32/bin/icc
+F77 = /opt/intel/compiler70/ia32/bin/ifc
+F90 = /opt/intel/compiler70/ia32/bin/ifc
+LD = /opt/intel/compiler70/ia32/bin/icc
+
+LIBDIRS =
+LIBS = intrins IEPCF90 F90 imf m irc cxa cprts cxa
+
+# basic
+CFLAGS = -DCARPET_REAL -c99
+CXXFLAGS = -DCARPET_REAL -c99
+F90FLAGS = -DCARPET_REAL -w95
+F77FLAGS = -DCARPET_REAL -w95
+LDFLAGS = -g -Qoption,ld,-rpath,/opt/intel/compiler70/ia32/lib
+
+# debugging
+DEBUG = yes
+C_DEBUG_FLAGS = -g -fp
+CXX_DEBUG_FLAGS = -g -fp
+F77_DEBUG_FLAGS = -g -fp
+F90_DEBUG_FLAGS = -g -fp
+
+# warnings
+#WARN=yes
+C_WARN_FLAGS = -w1
+CXX_WARN_FLAGS = -w1
+F77_WARN_FLAGS =
+F90_WARN_FLAGS =
+
+# optimisation
+OPTIMISE = yes
+C_OPTIMISE_FLAGS = -O3 -tpp6 -xi
+CXX_OPTIMISE_FLAGS = -O3 -tpp6 -xi
+F77_OPTIMISE_FLAGS = -O3 -tpp6
+F90_OPTIMISE_FLAGS = -O3 -tpp6
+
+# HDF
+HDF5 = YES
+HDF5_DIR = /usr/local
+
+# MPI
+MPI = MPICH
+MPICH_DIR = /usr/lib/mpich
+
+# PTHREADS
+PTHREADS = yes
diff --git a/Carpet/Carpet/options/carpet-lilypond-lf95 b/Carpet/Carpet/options/carpet-lilypond-lf95
new file mode 100644
index 000000000..7ce0f298f
--- /dev/null
+++ b/Carpet/Carpet/options/carpet-lilypond-lf95
@@ -0,0 +1,39 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/options/carpet-lilypond-lf95,v 1.6 2002/10/16 17:33:52 schnetter Exp $
+
+LAHEY = /usr/local/lf9560
+
+CPP = cpp -traditional -DCARPET_REAL
+F77 = lf95
+F90 = lf95
+
+CFLAGS = -g3
+CXXFLAGS = -g3 -DCARPET_REAL -ftemplate-depth-30
+F77FLAGS = --pca
+F90FLAGS = --pca
+LDFLAGS = -g3
+
+DEBUG = no
+C_DEBUG_FLAGS =
+CXX_DEBUG_FLAGS =
+F77_DEBUG_FLAGS = -g --chk
+F90_DEBUG_FLAGS = -g --chk
+
+C_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro
+CXX_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro
+F90_OPTIMISE_FLAGS = -O --tpp
+F77_OPTIMISE_FLAGS = -O --tpp
+
+C_WARN_FLAGS = -Wall -Wpointer-arith -Wbad-function-cast -Wcast-qual -Wcast-align -Wstrict-prototypes -Wmissing-declarations
+CXX_WARN_FLAGS = -Wall -Wpointer-arith -Wbad-function-cast -Wcast-qual -Wcast-align -Wstrict-prototypes -Wmissing-declarations
+F90_WARN_FLAGS = --warn
+F77_WARN_FLAGS = --warn
+
+SYS_INC_DIRS = /home/eschnett/proj/FlexIO
+LIBDIRS = /home/eschnett/proj/FlexIO /usr/local/lf9560/lib
+LIBS = AMR h5io hdfio hlio ieeeio hdf5 mfhdf df jpeg z crypt fj9i6 fj9f6 fj9e6 fccx86_6a m
+
+HDF5 = yes
+MPI = MPICH
+
+# PTHREADS
+PTHREADS = yes
diff --git a/Carpet/Carpet/options/carpet-lilypond-lf95-debug b/Carpet/Carpet/options/carpet-lilypond-lf95-debug
new file mode 100644
index 000000000..2008532af
--- /dev/null
+++ b/Carpet/Carpet/options/carpet-lilypond-lf95-debug
@@ -0,0 +1,40 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/options/carpet-lilypond-lf95-debug,v 1.5 2002/10/16 17:33:52 schnetter Exp $
+
+LAHEY = /usr/local/lf9560
+
+CPP = cpp -traditional -DCARPET_REAL
+F77 = lf95
+F90 = lf95
+
+CFLAGS = -g3
+CXXFLAGS = -g3 -DCARPET_REAL -ftemplate-depth-30
+F77FLAGS = --pca
+F90FLAGS = --pca
+LDFLAGS = -g3
+
+DEBUG = yes
+C_DEBUG_FLAGS =
+CXX_DEBUG_FLAGS =
+F77_DEBUG_FLAGS = -g --chk
+F90_DEBUG_FLAGS = -g --chk
+
+OPTIMISE = no
+C_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro
+CXX_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro
+F90_OPTIMISE_FLAGS = -O --tpp
+F77_OPTIMISE_FLAGS = -O --tpp
+
+C_WARN_FLAGS = -Wall -Wpointer-arith -Wbad-function-cast -Wcast-qual -Wcast-align -Wstrict-prototypes -Wmissing-declarations
+CXX_WARN_FLAGS = -Wall -Wpointer-arith -Wbad-function-cast -Wcast-qual -Wcast-align -Wstrict-prototypes -Wmissing-declarations
+F90_WARN_FLAGS = --warn
+F77_WARN_FLAGS = --warn
+
+SYS_INC_DIRS = /home/eschnett/proj/FlexIO
+LIBDIRS = /home/eschnett/proj/FlexIO /usr/local/lf9560/lib
+LIBS = AMR h5io hdfio hlio ieeeio hdf5 mfhdf df jpeg z crypt fj9i6 fj9f6 fj9e6 fccx86_6a m
+
+HDF5 = yes
+MPI = MPICH
+
+# PTHREADS
+PTHREADS = yes
diff --git a/Carpet/Carpet/options/carpet-lilypond-prof b/Carpet/Carpet/options/carpet-lilypond-prof
new file mode 100644
index 000000000..0ac899f6c
--- /dev/null
+++ b/Carpet/Carpet/options/carpet-lilypond-prof
@@ -0,0 +1,33 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/options/carpet-lilypond-prof,v 1.3 2002/10/16 17:33:52 schnetter Exp $
+
+CPP = cpp -traditional -DCARPET_REAL
+F77 = g77
+F90 = g77
+
+CFLAGS = -pg
+CXXFLAGS = -pg -DCARPET_REAL -ftemplate-depth-30
+F77FLAGS = -pg
+F90FLAGS = -pg
+LDFLAGS = -pg
+
+C_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro
+CXX_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro
+F90_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro -malign-double
+F77_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro -malign-double
+
+C_WARN_FLAGS = -Wall -Wpointer-arith -Wbad-function-cast -Wcast-qual -Wcast-align -Wstrict-prototypes -Wmissing-declarations
+CXX_WARN_FLAGS = -Wall -Wpointer-arith -Wbad-function-cast -Wcast-qual -Wcast-align -Wstrict-prototypes -Wmissing-declarations
+F90_WARN_FLAGS = -Wall
+F77_WARN_FLAGS = -Wall
+
+SYS_INC_DIRS = /home/eschnett/proj/FlexIO
+LIBDIRS = /home/eschnett/proj/FlexIO
+LIBS = AMR h5io hdfio hlio ieeeio hdf5 mfhdf df jpeg z crypt g2c m
+
+HDF5 = yes
+MPI = MPICH
+
+DEBUG = yes
+
+# PTHREADS
+PTHREADS = yes
diff --git a/Carpet/Carpet/options/carpet-mintaka b/Carpet/Carpet/options/carpet-mintaka
new file mode 100644
index 000000000..0a9aad429
--- /dev/null
+++ b/Carpet/Carpet/options/carpet-mintaka
@@ -0,0 +1,32 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/options/carpet-mintaka,v 1.3 2002/10/16 17:33:52 schnetter Exp $
+
+CPP = cpp -traditional -DCARPET_REAL
+F77 = g77
+F90 = g77
+
+CXXFLAGS = -DCARPET_REAL -ftemplate-depth-30
+LDFLAGS = -Wl,-rpath,/home/schnette/lib
+
+C_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro
+CXX_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro
+F90_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro -malign-double
+F77_OPTIMISE_FLAGS = -O2 -funroll-loops -march=pentiumpro -malign-double
+
+C_WARN_FLAGS = -Wall -Wpointer-arith -Wbad-function-cast -Wcast-qual -Wcast-align -Wstrict-prototypes -Wmissing-declarations
+CXX_WARN_FLAGS = -Wall -Wpointer-arith -Wbad-function-cast -Wcast-qual -Wcast-align -Wstrict-prototypes -Wmissing-declarations
+F90_WARN_FLAGS = -Wall
+F77_WARN_FLAGS = -Wall
+
+SYS_INC_DIRS = /home/schnette/lilypond/proj/FlexIO
+LIBDIRS = /home/schnette/lilypond/proj/FlexIO
+LIBS = AMR h5io hdfio hlio ieeeio hdf5 mfhdf df jpeg z crypt g2c m
+
+HDF5 = yes
+HDF5_DIR = /home/schnette
+MPI = MPICH
+MPICH_DIR = /usr/lib/mpich
+
+DEBUG = yes
+
+# PTHREADS
+PTHREADS = yes
diff --git a/Carpet/Carpet/options/carpet-tat-ic b/Carpet/Carpet/options/carpet-tat-ic
new file mode 100644
index 000000000..739b4ddd9
--- /dev/null
+++ b/Carpet/Carpet/options/carpet-tat-ic
@@ -0,0 +1,50 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/options/carpet-tat-ic,v 1.1 2002/11/03 12:22:24 schnetter Exp $
+
+CPP = /home/schnette/gcc/bin/cpp -traditional -DCARPET_REAL
+CC = icc
+CXX = icc
+F77 = ifc
+F90 = ifc
+LD = icc
+
+LIBDIRS =
+LIBS = intrins IEPCF90 F90 imf m irc cxa cprts cxa
+
+# basic
+CFLAGS = -DCARPET_REAL -c99
+CXXFLAGS = -DCARPET_REAL -c99
+F90FLAGS = -DCARPET_REAL -w95
+F77FLAGS = -DCARPET_REAL -w95
+LDFLAGS = -DCARPET_REAL -g -Qoption,ld,-rpath,/home/schnette/opt/intel/compiler60/ia32/lib
+
+# debugging
+DEBUG = yes
+C_DEBUG_FLAGS = -g -fp
+CXX_DEBUG_FLAGS = -g -fp
+F77_DEBUG_FLAGS = -g -fp
+F90_DEBUG_FLAGS = -g -fp
+
+# warnings
+#WARN=yes
+C_WARN_FLAGS = -w1
+CXX_WARN_FLAGS = -w1
+F77_WARN_FLAGS =
+F90_WARN_FLAGS =
+
+# optimisation
+OPTIMISE = yes
+C_OPTIMISE_FLAGS = -O3 -tpp6
+CXX_OPTIMISE_FLAGS = -O3 -tpp6
+F77_OPTIMISE_FLAGS = -O3 -tpp6
+F90_OPTIMISE_FLAGS = -O3 -tpp6
+
+# HDF
+HDF5 = YES
+HDF5_DIR = /usr/local
+
+# MPI
+MPI = MPICH
+MPICH_DIR = /usr/lib/mpich
+
+# PTHREADS
+PTHREADS = yes
diff --git a/Carpet/Carpet/par/carpet-test.par b/Carpet/Carpet/par/carpet-test.par
new file mode 100644
index 000000000..9f07305be
--- /dev/null
+++ b/Carpet/Carpet/par/carpet-test.par
@@ -0,0 +1,7 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/par/carpet-test.par,v 1.2 2004/03/23 11:58:54 schnetter Exp $
+
+ActiveThorns = "Carpet"
+
+Cactus::cctk_itlast = 10
+
+Carpet::max_refinement_levels = 2
diff --git a/Carpet/Carpet/par/carpet-test.th b/Carpet/Carpet/par/carpet-test.th
new file mode 100644
index 000000000..ab588089f
--- /dev/null
+++ b/Carpet/Carpet/par/carpet-test.th
@@ -0,0 +1,2 @@
+Carpet/Carpet # driver (CarpetLib) [ ] {Cactus,IO}
+Carpet/CarpetLib # CarpetLib ( ) [ ] { }
diff --git a/Carpet/Carpet/par/multipatch.par b/Carpet/Carpet/par/multipatch.par
new file mode 100644
index 000000000..44e6ce7cf
--- /dev/null
+++ b/Carpet/Carpet/par/multipatch.par
@@ -0,0 +1,42 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/par/multipatch.par,v 1.1 2004/05/04 22:07:18 schnetter Exp $
+
+Cactus::cctk_itlast = 20
+
+ActiveThorns = "Slab"
+
+ActiveThorns = "IOUtil"
+IO::out_dir = $parfile
+
+ActiveThorns = "Carpet CarpetLib CarpetReduce"
+Carpet::num_maps = 2
+driver::global_nsize = 12
+
+ActiveThorns = "Boundary CartGrid3D CoordBase SymBase"
+grid::type = byspacing
+grid::dxyz = 0.1
+
+#ActiveThorns = "Periodic"
+#Periodic::periodic_y = yes
+#Periodic::periodic_z = yes
+
+ActiveThorns = "SimplePatchBoundary"
+SimplePatchBoundary::offset_x[1] = 1.0
+
+ActiveThorns = "WaveToyC"
+WaveToy::bound = radiation
+
+ActiveThorns = "IDScalarWaveC"
+#IDScalarWave::initial_data = plane
+#IDScalarWave::kx = 6.28318530717959
+#IDScalarWave::ky = 6.28318530717959
+
+ActiveThorns = "Time"
+Time::dtfac = 0.5
+
+ActiveThorns = "IOBasic"
+IOBasic::outInfo_every = 1
+IOBasic::outInfo_vars = "WaveToy::phi"
+
+ActiveThorns = "CarpetIOASCII"
+IOASCII::out1D_every = 1
+IOASCII::out1D_vars = "WaveToy::phi"
diff --git a/Carpet/Carpet/par/test_rad.par b/Carpet/Carpet/par/test_rad.par
new file mode 100644
index 000000000..ee7af3cd2
--- /dev/null
+++ b/Carpet/Carpet/par/test_rad.par
@@ -0,0 +1,45 @@
+!DESC "Octant evolution with radiation boundaries"
+
+# $Id: test_rad.par,v 1.2 2002/10/24 21:11:53 schnetter Exp $
+#
+# /*@@
+# @file test_rad.par
+# @date Saturday 18th September
+# @author Gabrielle Allen
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in Octant
+# @enddesc
+# @@*/
+
+ActiveThorns = "boundary iobasic idscalarwavec time wavetoyc carpet carpetlib carpetslab carpetreduce cartgrid3d ioutil ioascii"
+
+time::dtfac = 0.5
+
+idscalarwave::initial_data = "gaussian"
+idscalarwave::sigma = 2.8
+idscalarwave::radius = 5
+
+wavetoyc::bound = "radiation"
+
+grid::type = "BySpacing"
+grid::domain = "octant"
+grid::dxyz = 0.6
+
+driver::global_nx = 15
+driver::global_ny = 15
+driver::global_nz = 15
+
+cactus::cctk_itlast = 10
+
+IOBasic::outScalar_every = 1
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_style = "gnuplot f(x)"
+IOASCII::out1D_every = 1
+IOASCII::out1D_z = "no"
+IOASCII::out1D_y = "no"
+IOASCII::out1D_d = "no"
+IOASCII::out1D_vars = "wavetoy::phi "
+
+IO::out_dir = "test_rad"
+IO::out_fileinfo = "none"
diff --git a/Carpet/Carpet/par/test_rad.th b/Carpet/Carpet/par/test_rad.th
new file mode 100644
index 000000000..73c560c03
--- /dev/null
+++ b/Carpet/Carpet/par/test_rad.th
@@ -0,0 +1,14 @@
+!DESC "Octant evolution with radiation boundaries"
+
+CactusBase/Boundary # boundary (grid) [ ] { }
+CactusBase/IOBasic # IOBasic (IO) [ ] {IO}
+CactusWave/IDScalarWaveC # idscalarwave (wavetoy,grid) [ ] {grid}
+CactusBase/Time # time ( ) [ ] { }
+CactusWave/WaveToyC # wavetoy (Grid,Boundary) [ ] { }
+Carpet/Carpet # driver (CarpetLib) [ ] {Cactus,IO}
+Carpet/CarpetLib # CarpetLib ( ) [ ] { }
+Carpet/CarpetSlab # Hyperslab (CarpetLib,driver) [ ] { }
+Carpet/CarpetReduce # reduce (CarpetLib,driver) [ ] { }
+CactusBase/CartGrid3D # grid ( ) [ ] {driver}
+CactusBase/IOUtil # IO ( ) [ ] { }
+Carpet/CarpetIOASCII # IOASCII (CarpetLib,driver,Hyperslab) [ ] {IO}
diff --git a/Carpet/Carpet/par/test_rad_ref.par b/Carpet/Carpet/par/test_rad_ref.par
new file mode 100644
index 000000000..e00217ac4
--- /dev/null
+++ b/Carpet/Carpet/par/test_rad_ref.par
@@ -0,0 +1,53 @@
+!DESC "Octant evolution with radiation boundaries"
+
+# $Id: test_rad_ref.par,v 1.2 2002/10/24 21:11:53 schnetter Exp $
+#
+# /*@@
+# @file test_rad.par
+# @date Saturday 18th September
+# @author Gabrielle Allen
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in Octant
+# @enddesc
+# @@*/
+
+ActiveThorns = "boundary iobasic idscalarwavec time wavetoyc carpet carpetlib carpetregrid carpetslab carpetreduce cartgrid3d ioutil carpetioascii"
+
+time::dtfac = 0.5
+
+idscalarwave::initial_data = "gaussian"
+idscalarwave::sigma = 2.8
+idscalarwave::radius = 5
+
+wavetoyc::bound = "radiation"
+
+grid::type = "BySpacing"
+grid::domain = "octant"
+grid::dxyz = 0.6
+
+# this file produces wrong output because the coordinat thorn
+# produces wrong coordinate arrays.
+
+driver::global_nx = 15
+driver::global_ny = 15
+driver::global_nz = 15
+
+Carpet::max_refinement_levels = 2
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[ [ ([2,2,2]:[15,15,15]:[1,1,1]) ] ]"
+CarpetRegrid::outerbounds = "[ [ [[1,0],[1,0],[1,0]] ] ]"
+
+cactus::cctk_itlast = 20
+
+IOBasic::outScalar_every = 1
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1
+IOASCII::out1D_z = "no"
+IOASCII::out1D_y = "no"
+IOASCII::out1D_d = "no"
+IOASCII::out1D_vars = "wavetoy::phi "
+
+IO::out_dir = "test_rad_ref"
+IO::out_fileinfo = "none"
diff --git a/Carpet/Carpet/par/test_rad_ref.th b/Carpet/Carpet/par/test_rad_ref.th
new file mode 100644
index 000000000..538d486c2
--- /dev/null
+++ b/Carpet/Carpet/par/test_rad_ref.th
@@ -0,0 +1,15 @@
+!DESC "Octant evolution with radiation boundaries"
+
+CactusBase/Boundary # boundary (grid) [ ] { }
+CactusBase/IOBasic # IOBasic (IO) [ ] {IO}
+CactusWave/IDScalarWaveC # idscalarwave (wavetoy,grid) [ ] {grid}
+CactusBase/Time # time ( ) [ ] { }
+CactusWave/WaveToyC # wavetoy (Grid,Boundary) [ ] { }
+Carpet/Carpet # driver (CarpetLib) [ ] {Cactus,IO}
+Carpet/CarpetLib # CarpetLib ( ) [ ] { }
+Carpet/CarpetRegrid # CarpetRegrid (CarpetLib,driver) [ ] { }
+Carpet/CarpetSlab # Hyperslab (CarpetLib,driver) [ ] { }
+Carpet/CarpetReduce # reduce (CarpetLib,driver) [ ] { }
+CactusBase/CartGrid3D # grid ( ) [ ] {driver}
+CactusBase/IOUtil # IO ( ) [ ] { }
+Carpet/CarpetIOASCII # IOASCII (CarpetLib,driver,Hyperslab) [ ] {IO}
diff --git a/Carpet/Carpet/param.ccl b/Carpet/Carpet/param.ccl
new file mode 100644
index 000000000..3cd8c1a54
--- /dev/null
+++ b/Carpet/Carpet/param.ccl
@@ -0,0 +1,294 @@
+# Parameter definitions for thorn Carpet
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/param.ccl,v 1.40 2004/08/07 19:47:12 schnetter Exp $
+
+shares: Cactus
+
+USES BOOLEAN terminate_next
+USES KEYWORD terminate
+USES CCTK_INT cctk_itlast
+USES CCTK_REAL cctk_initial_time
+USES CCTK_REAL cctk_final_time
+USES CCTK_REAL max_runtime
+
+
+
+shares: IO
+
+USES STRING out_dir
+
+
+
+private:
+
+BOOLEAN domain_from_coordbase "Use the domain description from CoordBase"
+{
+} "no"
+
+
+
+CCTK_INT global_nx "Grid size in x direction"
+{
+ 0:* :: "must be nonnegative"
+} 10
+
+CCTK_INT global_ny "Grid size in y direction"
+{
+ 0:* :: "must be nonnegative"
+} 10
+
+CCTK_INT global_nz "Grid size in z direction"
+{
+ 0:* :: "must be nonnegative"
+} 10
+
+CCTK_INT global_nsize "Grid size in each spatial direction"
+{
+ 0:* :: "must be nonnegative"
+ -1 :: "use the per-dimension parameters"
+} -1
+
+
+
+CCTK_INT ghost_size_x "Ghost zones in x direction"
+{
+ 0:* :: "must be nonnegative"
+} 1
+
+CCTK_INT ghost_size_y "Ghost zones in y direction"
+{
+ 0:* :: "must be nonnegative"
+} 1
+
+CCTK_INT ghost_size_z "Ghost zones in z direction"
+{
+ 0:* :: "must be nonnegative"
+} 1
+
+CCTK_INT ghost_size "Ghost zones in each spatial direction"
+{
+ 0:* :: "must be nonnegative"
+ -1 :: "use the per-dimension parameters"
+} -1
+
+
+
+restricted:
+
+BOOLEAN periodic "do not use this parameter"
+{
+} "no"
+
+BOOLEAN periodic_x "do not use this parameter"
+{
+} "no"
+
+BOOLEAN periodic_y "do not use this parameter"
+{
+} "no"
+
+BOOLEAN periodic_z "do not use this parameter"
+{
+} "no"
+
+
+
+private:
+
+CCTK_INT max_refinement_levels "Maximum number of refinement levels (including the base level)"
+{
+ 1:* :: "must be positive"
+} 1
+
+CCTK_INT refinement_factor "Refinement factor"
+{
+ 1:* :: "must be positive"
+} 2
+
+
+
+CCTK_INT convergence_level "Convergence level"
+{
+ *:* :: "negative for finer, positive for coarser resolutions"
+} 0
+
+CCTK_INT num_convergence_levels "Number of convergence levels (including the base level)"
+{
+ 1:* :: "must be positive"
+} 1
+
+CCTK_INT convergence_factor "Multigrid factor"
+{
+ 1:* :: "must be positive"
+} 2
+
+
+
+CCTK_INT num_maps "Number of maps"
+{
+ 1:* :: ""
+} 1
+
+
+
+CCTK_INT prolongation_order_space "Order of prolongation operator in space" STEERABLE=recover
+{
+ 1 :: "first order (linear)"
+ 3 :: "third order (cubic)"
+ 5 :: "fifth order"
+} 1
+
+CCTK_INT prolongation_order_time "Order of prolongation operator in time" STEERABLE=recover
+{
+ 0 :: "zeroth order (constant)"
+ 1 :: "first order (linear)"
+ 2 :: "second order (quadratic)"
+} 1
+
+
+
+CCTK_INT buffer_width "Width of the buffer zone inside the fine grid" STEERABLE=recover
+{
+ 0:* :: "Should be the radius of the numerical domain of dependence of the time integrator, minus the number of ghost zones"
+} 0
+
+
+
+CCTK_STRING base_extents "Extents of base grid components, in grid point units of the finest level"
+{
+ "^$" :: "leave empty for one grid component covering the whole region (default)"
+# We want the string to contain a list of bboxes. Each bbox contains
+# three vectors specifying the lower bound, upper bound, and stride.
+# (The upper bound is inclusive. All values are nonnegative integers.)
+# The syntax for vectors, bboxes, and lists is described below.
+# All spaces are optional.
+# The () parentheses and [] brackets are literals.
+# The {} braces are used for grouping.
+# If you put everything together, you get the tapeworm below.
+# There should be a way to define abbreviations in regexps!
+# Having #defines in param.ccl files would help a lot.
+# VECT := " [ 0 , 0 , 0 ]"
+# BBOX := " (VECT :VECT :VECT )"
+# LIST := " [{{BBOX ,}*BBOX}? ]"
+ "^\[(([[:space:]]*\([[:space:]]*\[[[:space:]]*[[:digit:]]+[[:space:]]*,[[:space:]]*[[:digit:]]+[[:space:]]*,[[:space:]]*[[:digit:]]+[[:space:]]*\][[:space:]]*:[[:space:]]*\[[[:space:]]*[[:digit:]]+[[:space:]]*,[[:space:]]*[[:digit:]]+[[:space:]]*,[[:space:]]*[[:digit:]]+[[:space:]]*\][[:space:]]*:[[:space:]]*\[[[:space:]]*[[:digit:]]+[[:space:]]*,[[:space:]]*[[:digit:]]+[[:space:]]*,[[:space:]]*[[:digit:]]+[[:space:]]*\][[:space:]]*\)[[:space:]]*,)*[[:space:]]*\([[:space:]]*\[[[:space:]]*[[:digit:]]+[[:space:]]*,[[:space:]]*[[:digit:]]+[[:space:]]*,[[:space:]]*[[:digit:]]+[[:space:]]*\][[:space:]]*:[[:space:]]*\[[[:space:]]*[[:digit:]]+[[:space:]]*,[[:space:]]*[[:digit:]]+[[:space:]]*,[[:space:]]*[[:digit:]]+[[:space:]]*\][[:space:]]*:[[:space:]]*\[[[:space:]]*[[:digit:]]+[[:space:]]*,[[:space:]]*[[:digit:]]+[[:space:]]*,[[:space:]]*[[:digit:]]+[[:space:]]*\][[:space:]]*\))?[[:space:]]*\]$" :: "[ ([<imin>,<jmin>,<kmin>]:[<imax>,<jmax>,<kmax>]:[<istride>,<jstride>,<kstride>]), ... ]"
+} ""
+
+CCTK_STRING base_outerbounds "Outer boundaries of base grid components"
+{
+ "^$" :: "leave empty for using the default, which depends on cctk_gsh"
+# See above for an explanation of this syntax, and of the tapeworm below.
+# Each vector element is 0 or 1,
+# where 0 is handled by synchronisation or prolongation,
+# and 1 stands for a user-supplied ("outer") boundary condition.
+# BND := " [ 0 , 0 ]"
+# VECT := " [ BND , BND , BND ]"
+# LIST := " [{{VECT ,}*VECT}? ]"
+ "^\[(([[:space:]]*\[[[:space:]]*\[[[:space:]]*[[:digit:]]+[[:space:]]*,[[:space:]]*[[:digit:]]+[[:space:]]*\][[:space:]]*,[[:space:]]*\[[[:space:]]*[[:digit:]]+[[:space:]]*,[[:space:]]*[[:digit:]]+[[:space:]]*\][[:space:]]*,[[:space:]]*\[[[:space:]]*[[:digit:]]+[[:space:]]*,[[:space:]]*[[:digit:]]+[[:space:]]*\][[:space:]]*\][[:space:]]*,)*[[:space:]]*\[[[:space:]]*\[[[:space:]]*[[:digit:]]+[[:space:]]*,[[:space:]]*[[:digit:]]+[[:space:]]*\][[:space:]]*,[[:space:]]*\[[[:space:]]*[[:digit:]]+[[:space:]]*,[[:space:]]*[[:digit:]]+[[:space:]]*\][[:space:]]*,[[:space:]]*\[[[:space:]]*[[:digit:]]+[[:space:]]*,[[:space:]]*[[:digit:]]+[[:space:]]*\][[:space:]]*\])?[[:space:]]*\]$" :: "[ [ [<ilower>,<iupper>], [<jlower>,<jupper>], [<klower>,<kupper>] ], ... ]"
+} ""
+
+
+
+BOOLEAN enable_all_storage "Enable storage for all grid functions" STEERABLE=recover
+{
+} "yes"
+
+
+
+BOOLEAN poison_new_timelevels "Try to catch uninitialised grid elements by setting new timelevels to values that will catch your attention" STEERABLE=always
+{
+} "no"
+
+BOOLEAN check_for_poison "Explicitely check for the poison value after every time step" STEERABLE=always
+{
+} "no"
+
+CCTK_INT poison_value "Integer value (0..255) used to poison new timelevels (with memset)" STEERABLE=always
+{
+ 0:255 :: "Must fit into a byte. Use 0 for zero, 255 for nan, and e.g. 113 for a large value."
+} 255
+
+CCTK_INT max_poison_locations "Maximum number of poison locations that are printed to the screen" STEERABLE=always
+{
+ -1 :: "print all locations"
+ 0:* :: "print only that many locations"
+} 10
+
+
+
+BOOLEAN checksum_timelevels "Try to catch unintentionally changed timelevels by taking checksums and comparing against these" STEERABLE=always
+{
+} "no"
+
+
+
+BOOLEAN suppress_restriction "Suppress the restriction operations. This makes the coarser refinement levels independent of the finer ones." STEERABLE=always
+{
+} "no"
+
+
+
+BOOLEAN verbose "Display info on the screen" STEERABLE=always
+{
+} "no"
+
+BOOLEAN veryverbose "Display a lot of info on the screen" STEERABLE=always
+{
+} "no"
+
+BOOLEAN barriers "Insert barriers at strategic places for debugging purposes (slows down execution)" STEERABLE=always
+{
+} "no"
+
+
+
+KEYWORD processor_topology "How to determine the processor topology" STEERABLE=recover
+{
+ "manual" :: "Specified by processor_topology_*"
+ "along-z" :: "Split the region along the z direction only"
+ "along-dir" :: "Split the region along one direction only"
+ "automatic" :: "Choose the topology automatically"
+} "automatic"
+
+CCTK_INT processor_topology_3d_x "Number of processors in x-direction" STEERABLE=recover
+{
+ 1:* :: "must be positive"
+} 1
+
+CCTK_INT processor_topology_3d_y "Number of processors in y-direction" STEERABLE=recover
+{
+ 1:* :: "must be positive"
+} 1
+
+CCTK_INT processor_topology_3d_z "Number of processors in z-direction" STEERABLE=recover
+{
+ 1:* :: "must be positive"
+} 1
+
+CCTK_INT split_direction "Direction in which the domain should be split" STEERABLE=recover
+{
+ 0:* :: "0 for x, 1 for y, 2 for z, etc."
+} 2
+
+
+
+STRING grid_structure_filename "File name to output grid structure to (empty = no output)" STEERABLE=recover
+{
+ ".*" :: "must be a legal file name"
+} ""
+
+
+
+private:
+
+BOOLEAN init_each_timelevel "Call initial data routines once for each timelevel" STEERABLE=always
+{
+} "no"
+
+BOOLEAN prolongate_initial_data "Prolongate the refined regions during initial data generation" STEERABLE=always
+{
+} "yes"
+
+
+
+BOOLEAN init_3_timelevels "Set up 3 timelevels of initial data" STEERABLE=always
+{
+} "no"
diff --git a/Carpet/Carpet/schedule.ccl b/Carpet/Carpet/schedule.ccl
new file mode 100644
index 000000000..491f070ba
--- /dev/null
+++ b/Carpet/Carpet/schedule.ccl
@@ -0,0 +1,7 @@
+# Schedule definitions for thorn Carpet
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/schedule.ccl,v 1.7 2004/05/27 12:28:01 schnetter Exp $
+
+schedule CarpetStartup at STARTUP as Driver_Startup
+{
+ LANG: C
+} "Startup routine"
diff --git a/Carpet/Carpet/src/CallFunction.cc b/Carpet/Carpet/src/CallFunction.cc
new file mode 100644
index 000000000..4511c10ef
--- /dev/null
+++ b/Carpet/Carpet/src/CallFunction.cc
@@ -0,0 +1,298 @@
+#include <assert.h>
+#include <stdlib.h>
+
+#include <algorithm>
+
+#include "cctk.h"
+#include "cctki_GHExtensions.h"
+
+#include "gh.hh"
+
+#include "carpet.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/CallFunction.cc,v 1.19 2004/08/02 11:43:15 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_Carpet_CallFunction_cc);
+}
+
+
+
+namespace Carpet {
+
+ using namespace std;
+
+ /// Traverse one function on all components of one refinement level
+ /// of one multigrid level.
+ int CallFunction (void* function, ///< the function to call
+ cFunctionData* attribute, ///< attributes of the function
+ void* data) ///< ???
+ {
+// Checkpoint ("Starting CallFunction...");
+
+ cGH* cgh = (cGH*)data;
+
+ assert (!! attribute->meta
+ + !! attribute->global
+ + !! attribute->level
+ + !! attribute->singlemap
+ + !! attribute->local <= 1);
+
+ assert (!! attribute->loop_global
+ + !! attribute->loop_level
+ + !! attribute->loop_singlemap
+ + !! attribute->loop_local <= 1);
+
+ if (attribute->meta || is_meta_mode()) {
+ // Convtest operation
+
+ if (do_meta_mode) {
+ if (attribute->loop_local) {
+ BEGIN_META_MODE(cgh) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ BEGIN_REFLEVEL_LOOP(cgh) {
+ BEGIN_MAP_LOOP(cgh, CCTK_GF) {
+ BEGIN_LOCAL_COMPONENT_LOOP(cgh, CCTK_GF) {
+ Checkpoint ("Meta time local mode call at %s to %s::%s",
+ attribute->where, attribute->thorn, attribute->routine);
+ const int res = CCTK_CallFunction (function, attribute, data);
+ assert (res==0);
+ } END_LOCAL_COMPONENT_LOOP;
+ } END_MAP_LOOP;
+ for (int n=0; n<attribute->n_SyncGroups; ++n) {
+ char * const groupname = CCTK_GroupName (attribute->SyncGroups[n]);
+ SyncGroup (cgh, groupname);
+ free (groupname);
+ }
+ } END_REFLEVEL_LOOP;
+ } END_MGLEVEL_LOOP;
+ } END_META_MODE;
+ } else if (attribute->loop_singlemap) {
+ BEGIN_META_MODE(cgh) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ BEGIN_REFLEVEL_LOOP(cgh) {
+ BEGIN_MAP_LOOP(cgh, CCTK_GF) {
+ Checkpoint ("Meta time singlemap mode call at %s to %s::%s",
+ attribute->where, attribute->thorn, attribute->routine);
+ const int res = CCTK_CallFunction (function, attribute, data);
+ assert (res==0);
+ } END_MAP_LOOP;
+ for (int n=0; n<attribute->n_SyncGroups; ++n) {
+ char * const groupname = CCTK_GroupName (attribute->SyncGroups[n]);
+ SyncGroup (cgh, groupname);
+ free (groupname);
+ }
+ } END_REFLEVEL_LOOP;
+ } END_MGLEVEL_LOOP;
+ } END_META_MODE;
+ } else if (attribute->loop_level) {
+ BEGIN_META_MODE(cgh) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ BEGIN_REFLEVEL_LOOP(cgh) {
+ Checkpoint ("Meta time level mode call at %s to %s::%s",
+ attribute->where, attribute->thorn, attribute->routine);
+ const int res = CCTK_CallFunction (function, attribute, data);
+ assert (res==0);
+ for (int n=0; n<attribute->n_SyncGroups; ++n) {
+ char * const groupname = CCTK_GroupName (attribute->SyncGroups[n]);
+ SyncGroup (cgh, groupname);
+ free (groupname);
+ }
+ } END_REFLEVEL_LOOP;
+ } END_MGLEVEL_LOOP;
+ } END_META_MODE;
+ } else if (attribute->loop_global) {
+ BEGIN_META_MODE(cgh) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ Checkpoint ("Meta time global mode call at %s to %s::%s",
+ attribute->where, attribute->thorn, attribute->routine);
+ const int res = CCTK_CallFunction (function, attribute, data);
+ assert (res==0);
+ for (int n=0; n<attribute->n_SyncGroups; ++n) {
+ char * const groupname = CCTK_GroupName (attribute->SyncGroups[n]);
+ SyncGroup (cgh, groupname);
+ free (groupname);
+ }
+ } END_MGLEVEL_LOOP;
+ } END_META_MODE;
+ } else {
+ BEGIN_META_MODE(cgh) {
+ Checkpoint ("Meta mode call at %s to %s::%s",
+ attribute->where, attribute->thorn, attribute->routine);
+ const int res = CCTK_CallFunction (function, attribute, data);
+ assert (res==0);
+ for (int n=0; n<attribute->n_SyncGroups; ++n) {
+ char * const groupname = CCTK_GroupName (attribute->SyncGroups[n]);
+ SyncGroup (cgh, groupname);
+ free (groupname);
+ }
+ } END_META_MODE;
+ }
+ }
+
+ } else if (attribute->global || is_global_mode()) {
+ // Global operation: call once
+
+ assert (! attribute->loop_meta);
+
+ if (do_global_mode) {
+ if (attribute->loop_local) {
+ BEGIN_GLOBAL_MODE(cgh) {
+ BEGIN_REFLEVEL_LOOP(cgh) {
+ BEGIN_MAP_LOOP(cgh, CCTK_GF) {
+ BEGIN_LOCAL_COMPONENT_LOOP(cgh, CCTK_GF) {
+ Checkpoint ("Global time local mode call at %s to %s::%s",
+ attribute->where, attribute->thorn, attribute->routine);
+ const int res = CCTK_CallFunction (function, attribute, data);
+ assert (res==0);
+ } END_LOCAL_COMPONENT_LOOP;
+ } END_MAP_LOOP;
+ for (int n=0; n<attribute->n_SyncGroups; ++n) {
+ char * const groupname = CCTK_GroupName (attribute->SyncGroups[n]);
+ SyncGroup (cgh, groupname);
+ free (groupname);
+ }
+ } END_REFLEVEL_LOOP;
+ } END_GLOBAL_MODE;
+ } else if (attribute->loop_singlemap) {
+ BEGIN_GLOBAL_MODE(cgh) {
+ BEGIN_REFLEVEL_LOOP(cgh) {
+ BEGIN_MAP_LOOP(cgh, CCTK_GF) {
+ Checkpoint ("Global time singlemap mode call at %s to %s::%s",
+ attribute->where, attribute->thorn, attribute->routine);
+ const int res = CCTK_CallFunction (function, attribute, data);
+ assert (res==0);
+ } END_MAP_LOOP;
+ for (int n=0; n<attribute->n_SyncGroups; ++n) {
+ char * const groupname = CCTK_GroupName (attribute->SyncGroups[n]);
+ SyncGroup (cgh, groupname);
+ free (groupname);
+ }
+ } END_REFLEVEL_LOOP;
+ } END_GLOBAL_MODE;
+ } else if (attribute->loop_level) {
+ BEGIN_GLOBAL_MODE(cgh) {
+ BEGIN_REFLEVEL_LOOP(cgh) {
+ Checkpoint ("Global time level mode call at %s to %s::%s",
+ attribute->where, attribute->thorn, attribute->routine);
+ const int res = CCTK_CallFunction (function, attribute, data);
+ assert (res==0);
+ for (int n=0; n<attribute->n_SyncGroups; ++n) {
+ char * const groupname = CCTK_GroupName (attribute->SyncGroups[n]);
+ SyncGroup (cgh, groupname);
+ free (groupname);
+ }
+ } END_REFLEVEL_LOOP;
+ } END_GLOBAL_MODE;
+ } else {
+ BEGIN_GLOBAL_MODE(cgh) {
+ Checkpoint ("Global mode call at %s to %s::%s",
+ attribute->where, attribute->thorn, attribute->routine);
+ const int res = CCTK_CallFunction (function, attribute, data);
+ assert (res==0);
+ for (int n=0; n<attribute->n_SyncGroups; ++n) {
+ char * const groupname = CCTK_GroupName (attribute->SyncGroups[n]);
+ SyncGroup (cgh, groupname);
+ free (groupname);
+ }
+ } END_GLOBAL_MODE;
+ }
+ }
+
+ } else if (attribute->level) {
+ // Level operation: call once per refinement level
+
+ assert (! attribute->loop_meta);
+ assert (! attribute->loop_global);
+
+ if (attribute->loop_local) {
+ BEGIN_MAP_LOOP(cgh, CCTK_GF) {
+ BEGIN_LOCAL_COMPONENT_LOOP(cgh, CCTK_GF) {
+ Checkpoint ("Level time local mode call at %s to %s::%s",
+ attribute->where, attribute->thorn, attribute->routine);
+ const int res = CCTK_CallFunction (function, attribute, data);
+ assert (res==0);
+ } END_LOCAL_COMPONENT_LOOP;
+ } END_MAP_LOOP;
+ } else if (attribute->loop_singlemap) {
+ BEGIN_MAP_LOOP(cgh, CCTK_GF) {
+ Checkpoint ("Level time singlemap mode call at %s to %s::%s",
+ attribute->where, attribute->thorn, attribute->routine);
+ const int res = CCTK_CallFunction (function, attribute, data);
+ assert (res==0);
+ } END_MAP_LOOP;
+ } else {
+ Checkpoint ("Level mode call at %s to %s::%s",
+ attribute->where, attribute->thorn, attribute->routine);
+ const int res = CCTK_CallFunction (function, attribute, data);
+ assert (res==0);
+ }
+ for (int n=0; n<attribute->n_SyncGroups; ++n) {
+ char * const groupname = CCTK_GroupName (attribute->SyncGroups[n]);
+ SyncGroup (cgh, groupname);
+ free (groupname);
+ }
+
+ } else if (attribute->singlemap) {
+ // Single map operation: call once per refinement level and map
+
+ assert (! attribute->loop_meta);
+ assert (! attribute->loop_global);
+ assert (! attribute->loop_level);
+
+ if (attribute->loop_local) {
+ BEGIN_MAP_LOOP(cgh, CCTK_GF) {
+ BEGIN_LOCAL_COMPONENT_LOOP(cgh, CCTK_GF) {
+ Checkpoint ("Singlemap time local mode call at %s to %s::%s",
+ attribute->where, attribute->thorn, attribute->routine);
+ const int res = CCTK_CallFunction (function, attribute, data);
+ assert (res==0);
+ } END_LOCAL_COMPONENT_LOOP;
+ } END_MAP_LOOP;
+ } else {
+ BEGIN_MAP_LOOP(cgh, CCTK_GF) {
+ Checkpoint ("Singlemap mode call at %s to %s::%s",
+ attribute->where, attribute->thorn, attribute->routine);
+ const int res = CCTK_CallFunction (function, attribute, data);
+ assert (res==0);
+ } END_MAP_LOOP;
+ }
+ for (int n=0; n<attribute->n_SyncGroups; ++n) {
+ char * const groupname = CCTK_GroupName (attribute->SyncGroups[n]);
+ SyncGroup (cgh, groupname);
+ free (groupname);
+ }
+
+ } else {
+ // Local operation: call once per component
+
+ assert (! attribute->loop_meta);
+ assert (! attribute->loop_global);
+ assert (! attribute->loop_level);
+ assert (! attribute->loop_singlemap);
+
+ BEGIN_MAP_LOOP(cgh, CCTK_GF) {
+ BEGIN_LOCAL_COMPONENT_LOOP(cgh, CCTK_GF) {
+ Checkpoint ("Local mode call at %s to %s::%s",
+ attribute->where, attribute->thorn, attribute->routine);
+ const int res = CCTK_CallFunction (function, attribute, data);
+ assert (res==0);
+ } END_LOCAL_COMPONENT_LOOP;
+ } END_MAP_LOOP;
+ for (int n=0; n<attribute->n_SyncGroups; ++n) {
+ char * const groupname = CCTK_GroupName (attribute->SyncGroups[n]);
+ SyncGroup (cgh, groupname);
+ free (groupname);
+ }
+
+ }
+
+// Checkpoint ("done with CallFunction.");
+
+ // The return value indicates whether the grid functions have been
+ // synchronised.
+ // 0: let the flesh do the synchronisation
+ // 1: we did the synchronisation
+ return 1;
+ }
+
+} // namespace Carpet
diff --git a/Carpet/Carpet/src/CarpetParamCheck.cc b/Carpet/Carpet/src/CarpetParamCheck.cc
new file mode 100644
index 000000000..e3e407120
--- /dev/null
+++ b/Carpet/Carpet/src/CarpetParamCheck.cc
@@ -0,0 +1,39 @@
+#include <assert.h>
+#include <stdlib.h>
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+
+#include "carpet.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/CarpetParamCheck.cc,v 1.9 2003/09/19 16:04:31 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_Carpet_CarpetParamCheck_cc);
+}
+
+
+
+namespace Carpet {
+
+ using namespace std;
+
+ /** Ensure that the parameters have legal values.
+ *
+ * Note that this checking happens only after most of Carpet has
+ * already been set up.
+ */
+ void CarpetParamCheck (CCTK_ARGUMENTS)
+ {
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ if (CCTK_ParameterQueryTimesSet ("periodic", "Carpet")
+ || CCTK_ParameterQueryTimesSet ("periodic_x", "Carpet")
+ || CCTK_ParameterQueryTimesSet ("periodic_y", "Carpet")
+ || CCTK_ParameterQueryTimesSet ("periodic_z", "Carpet")) {
+ CCTK_PARAMWARN ("Some of the parameters \"Carpet::periodic*\" have been set. These parameters are there for compatibility reasons only and must not be used.");
+ }
+ }
+
+} // namespace Carpet
diff --git a/Carpet/Carpet/src/CarpetStartup.cc b/Carpet/Carpet/src/CarpetStartup.cc
new file mode 100644
index 000000000..c55c99d9a
--- /dev/null
+++ b/Carpet/Carpet/src/CarpetStartup.cc
@@ -0,0 +1,45 @@
+#include <assert.h>
+#include <stdlib.h>
+
+#include "cctk.h"
+
+#include "carpet.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/CarpetStartup.cc,v 1.5 2003/09/19 16:04:31 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_Carpet_CarpetStartup_cc);
+}
+
+
+
+namespace Carpet {
+
+ using namespace std;
+
+ void CarpetStartup()
+ {
+ CCTK_RegisterBanner ("AMR driver provided by Carpet");
+
+ GHExtension = CCTK_RegisterGHExtension("Carpet");
+ CCTK_RegisterGHExtensionSetupGH (GHExtension, SetupGH);
+
+ CCTK_OverloadInitialise (Initialise);
+ CCTK_OverloadEvolve (Evolve);
+ CCTK_OverloadShutdown (Shutdown);
+
+ CCTK_OverloadSyncGroup (SyncGroup);
+ CCTK_OverloadEnableGroupStorage (EnableGroupStorage);
+ CCTK_OverloadDisableGroupStorage (DisableGroupStorage);
+ CCTK_OverloadEnableGroupComm (EnableGroupComm);
+ CCTK_OverloadDisableGroupComm (DisableGroupComm);
+ CCTK_OverloadBarrier (Barrier);
+ CCTK_OverloadExit (Exit);
+ CCTK_OverloadAbort (Abort);
+ CCTK_OverloadMyProc (MyProc);
+ CCTK_OverloadnProcs (nProcs);
+ CCTK_OverloadArrayGroupSizeB (ArrayGroupSizeB);
+ CCTK_OverloadQueryGroupStorageB (QueryGroupStorageB);
+ CCTK_OverloadGroupDynamicData (GroupDynamicData);
+ }
+
+} // namespace Carpet
diff --git a/Carpet/Carpet/src/Checksum.cc b/Carpet/Carpet/src/Checksum.cc
new file mode 100644
index 000000000..6943e681a
--- /dev/null
+++ b/Carpet/Carpet/src/Checksum.cc
@@ -0,0 +1,181 @@
+#include <assert.h>
+#include <stdlib.h>
+
+#include <vector>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "gh.hh"
+
+#include "carpet.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/Checksum.cc,v 1.15 2004/03/24 17:44:51 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_Carpet_Checksum_cc);
+}
+
+
+
+namespace Carpet {
+
+ using namespace std;
+
+
+
+ // Checksum information
+ struct ckdesc {
+ bool valid;
+ unsigned int sum;
+ };
+
+ // Helper class
+ struct ckdesc4 {
+ vector<vector<vector<vector<ckdesc> > > > a; // [m][c][var][tl]
+ };
+
+ // Checksum information
+ vector<vector<vector<ckdesc4> > > checksums; // [rl][ml][group]
+
+
+
+ void CalculateChecksums (const cGH* cgh, const checktimes where)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ if (! checksum_timelevels) return;
+
+ Checkpoint ("CalculateChecksums");
+
+ checksums.resize(maxreflevels);
+ checksums.at(reflevel).resize(mglevels);
+ checksums.at(reflevel).at(mglevel).resize(CCTK_NumGroups());
+ for (int group=0; group<CCTK_NumGroups(); ++group) {
+ if (CCTK_QueryGroupStorageI(cgh, group)) {
+ const int grouptype = CCTK_GroupTypeI(group);
+ if (reflevel == 0 || grouptype == CCTK_GF) {
+ checksums.at(reflevel).at(mglevel).at(group).a.resize(arrdata.at(group).size());
+ BEGIN_MAP_LOOP(cgh, grouptype) {
+ checksums.at(reflevel).at(mglevel).at(group).a.at(map).resize(arrdata.at(group).at(map).hh->components(reflevel));
+ BEGIN_LOCAL_COMPONENT_LOOP(cgh, grouptype) {
+ const int nvars = CCTK_NumVarsInGroupI(group);
+ checksums.at(reflevel).at(mglevel).at(group).a.at(map).at(component).resize(nvars);
+ if (nvars > 0) {
+
+ const int n0 = CCTK_FirstVarIndexI(group);
+ const int sz = CCTK_VarTypeSize(CCTK_VarTypeI(n0));
+ assert (sz>0);
+
+ ivect size(1);
+ const int gpdim = groupdata.at(group).info.dim;
+ for (int d=0; d<gpdim; ++d) {
+ size[d] = groupdata.at(group).info.lsh[d];
+ }
+ const int np = prod(size);
+
+ const int num_tl = CCTK_NumTimeLevelsFromVarI(n0);
+ assert (num_tl>0);
+ const int min_tl = mintl(where, num_tl);
+ const int max_tl = maxtl(where, num_tl);
+
+ for (int var=0; var<nvars; ++var) {
+ checksums.at(reflevel).at(mglevel).at(group).a.at(map).at(component).at(var).resize(num_tl);
+ for (int tl=min_tl; tl<=max_tl; ++tl) {
+
+ const int n = n0 + var;
+ const void* data = cgh->data[n][tl];
+ unsigned int chk = 0;
+ for (int i=0; i<np*sz/(int)sizeof chk; ++i) {
+ chk += ((const unsigned int*)data)[i];
+ }
+
+ checksums.at(reflevel).at(mglevel).at(group).a.at(map).at(component).at(var).at(tl).sum = chk;
+ checksums.at(reflevel).at(mglevel).at(group).a.at(map).at(component).at(var).at(tl).valid = true;
+
+ } // for tl
+ } // for var
+ } // if group has vars
+ } END_LOCAL_COMPONENT_LOOP;
+ } END_MAP_LOOP;
+ } // if grouptype fits
+ } // if storage
+ } // for group
+
+ }
+
+
+
+ void CheckChecksums (const cGH* cgh, const checktimes where)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ if (! checksum_timelevels) return;
+
+ Checkpoint ("CheckChecksums");
+
+ assert ((int)checksums.size()==maxreflevels);
+ assert ((int)checksums.at(reflevel).size()==mglevels);
+ assert ((int)checksums.at(reflevel).at(mglevel).size()==CCTK_NumGroups());
+ for (int group=0; group<CCTK_NumGroups(); ++group) {
+ if (CCTK_QueryGroupStorageI(cgh, group)) {
+ const int grouptype = CCTK_GroupTypeI(group);
+ if (reflevel == 0 || grouptype == CCTK_GF) {
+ assert (checksums.at(reflevel).at(mglevel).at(group).a.size()==arrdata.at(group).size());
+ BEGIN_MAP_LOOP(cgh, grouptype) {
+ assert ((int)checksums.at(reflevel).at(mglevel).at(group).a.at(map).size()==arrdata.at(group).at(map).hh->components(reflevel));
+ BEGIN_LOCAL_COMPONENT_LOOP(cgh, grouptype) {
+ const int nvars = CCTK_NumVarsInGroupI(group);
+ assert ((int)checksums.at(reflevel).at(mglevel).at(group).a.at(map).at(component).size()==nvars);
+ if (nvars > 0) {
+
+ const int n0 = CCTK_FirstVarIndexI(group);
+ const int sz = CCTK_VarTypeSize(CCTK_VarTypeI(n0));
+ assert (sz>0);
+
+ ivect size(1);
+ const int gpdim = groupdata.at(group).info.dim;
+ for (int d=0; d<gpdim; ++d) {
+ size[d] = groupdata.at(group).info.lsh[d];
+ }
+ const int np = prod(size);
+
+ const int num_tl = CCTK_NumTimeLevelsFromVarI(n0);
+ assert (num_tl>0);
+ const int min_tl = mintl(where, num_tl);
+ const int max_tl = maxtl(where, num_tl);
+
+ for (int var=0; var<nvars; ++var) {
+ assert ((int)checksums.at(reflevel).at(mglevel).at(group).a.at(map).at(component).at(var).size()==num_tl);
+ for (int tl=min_tl; tl<=max_tl; ++tl) {
+ if (checksums.at(reflevel).at(mglevel).at(group).a.at(map).at(component).at(var).at(tl).valid) {
+
+ const int n = n0 + var;
+ const void* data = cgh->data[n][tl];
+ unsigned int chk = 0;
+ for (int i=0; i<np*sz/(int)sizeof chk; ++i) {
+ chk += ((const unsigned int*)data)[i];
+ }
+ const bool unexpected_change =
+ chk != checksums.at(reflevel).at(mglevel).at(group).a.at(map).at(component).at(var).at(tl).sum;
+
+ if (unexpected_change) {
+ char* fullname = CCTK_FullName(n);
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Timelevel %d, component %d, refinement level %d of the variable \"%s\" has changed unexpectedly",
+ tl, component, reflevel, fullname);
+ free (fullname);
+ }
+
+ } // if valid
+ } // for tl
+ } // for var
+ } // if group has vars
+ } END_LOCAL_COMPONENT_LOOP;
+ } END_MAP_LOOP;
+ } // if grouptype fits
+ } // if storage
+ } // for group
+
+ }
+
+} // namespace Carpet
diff --git a/Carpet/Carpet/src/Comm.cc b/Carpet/Carpet/src/Comm.cc
new file mode 100644
index 000000000..c66dd6915
--- /dev/null
+++ b/Carpet/Carpet/src/Comm.cc
@@ -0,0 +1,165 @@
+#include <assert.h>
+#include <stdlib.h>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "ggf.hh"
+#include "gh.hh"
+
+#include "carpet.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/Comm.cc,v 1.29 2004/05/21 18:16:23 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_Carpet_Comm_cc);
+}
+
+
+
+namespace Carpet {
+
+ using namespace std;
+
+
+
+ int SyncGroup (const cGH* cgh, const char* groupname)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ const int group = CCTK_GroupIndex(groupname);
+ assert (group>=0 && group<CCTK_NumGroups());
+ assert (group<(int)arrdata.size());
+
+ Checkpoint ("SyncGroup \"%s\" time=%g", groupname, (double)cgh->cctk_time);
+
+ const int grouptype = CCTK_GroupTypeI(group);
+
+ if (grouptype == CCTK_GF) {
+ if (reflevel == -1) {
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Cannot synchronise in global mode "
+ "(Tried to synchronise group \"%s\")",
+ groupname);
+ }
+ if (map != -1 && component == -1) {
+ if (maps == 1) {
+ CCTK_VWarn (2, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Synchronising group \"%s\" in singlemap mode",
+ groupname);
+ } else {
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Cannot synchronise in singlemap mode "
+ "(Tried to synchronise group \"%s\")",
+ groupname);
+ }
+ }
+ if (component != -1) {
+ if (maps == 1 && vhh.at(map)->local_components(reflevel) == 1) {
+ CCTK_VWarn (2, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Synchronising group \"%s\" in local mode",
+ groupname);
+ } else {
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Cannot synchronise in local mode "
+ "(Tried to synchronise group \"%s\")",
+ groupname);
+ }
+ }
+ }
+
+ if (! CCTK_QueryGroupStorageI(cgh, group)) {
+ CCTK_VWarn (2, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Cannot synchronise group \"%s\" because it has no storage",
+ groupname);
+ return -1;
+ }
+
+ if (CCTK_NumVarsInGroupI(group) == 0) return 0;
+
+ const int n0 = CCTK_FirstVarIndexI(group);
+ assert (n0>=0);
+ const int num_tl = CCTK_NumTimeLevelsFromVarI(n0);
+ assert (num_tl>0);
+ const int tl = 0;
+
+ // Prolongate the boundaries
+ if (do_prolongate) {
+ switch (grouptype) {
+
+ case CCTK_GF:
+ assert (reflevel>=0 && reflevel<reflevels);
+ if (reflevel > 0) {
+
+ // use the current time here (which may be modified by the
+ // user)
+ const CCTK_REAL time
+ = (cgh->cctk_time - cctk_initial_time) / delta_time;
+
+ for (comm_state<dim> state; !state.done(); state.step()) {
+ for (int m=0; m<(int)arrdata.at(group).size(); ++m) {
+ for (int var=0; var<CCTK_NumVarsInGroupI(group); ++var) {
+ for (int c=0; c<vhh.at(m)->components(reflevel); ++c) {
+ arrdata.at(group).at(m).data.at(var)->ref_bnd_prolongate
+ (state, tl, reflevel, c, mglevel, time);
+ }
+ }
+ }
+ } // for state
+ } // if reflevel>0
+ break;
+
+ case CCTK_SCALAR:
+ case CCTK_ARRAY:
+ // do nothing
+ break;
+
+ default:
+ assert (0);
+ } // switch grouptype
+ } // if do_prolongate
+
+ // Sync
+ for (comm_state<dim> state; !state.done(); state.step()) {
+ switch (CCTK_GroupTypeI(group)) {
+
+ case CCTK_GF:
+ for (int m=0; m<(int)arrdata.at(group).size(); ++m) {
+ for (int var=0; var<CCTK_NumVarsInGroupI(group); ++var) {
+ for (int c=0; c<vhh.at(m)->components(reflevel); ++c) {
+ arrdata.at(group).at(m).data.at(var)->sync
+ (state, tl, reflevel, c, mglevel);
+ }
+ }
+ }
+ break;
+
+ case CCTK_SCALAR:
+ case CCTK_ARRAY:
+ for (int var=0; var<(int)arrdata.at(group).at(0).data.size(); ++var) {
+ arrdata.at(group).at(0).data.at(var)->sync (state, 0, 0, 0, 0);
+ }
+ break;
+
+ default:
+ assert (0);
+ } // switch grouptype
+ } // for state
+
+ return 0;
+ }
+
+
+
+ int EnableGroupComm (const cGH* cgh, const char* groupname)
+ {
+ // Communication is always enabled
+ return 0;
+ }
+
+ int DisableGroupComm (const cGH* cgh, const char* groupname)
+ {
+ // Communication is always enabled
+ return -1;
+ }
+
+} // namespace Carpet
diff --git a/Carpet/Carpet/src/Cycle.cc b/Carpet/Carpet/src/Cycle.cc
new file mode 100644
index 000000000..69a195563
--- /dev/null
+++ b/Carpet/Carpet/src/Cycle.cc
@@ -0,0 +1,115 @@
+#include <assert.h>
+#include <stdlib.h>
+
+#include "cctk.h"
+
+#include "ggf.hh"
+#include "gh.hh"
+
+#include "carpet.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/Cycle.cc,v 1.19 2004/05/21 18:16:23 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_Carpet_Cycle_cc);
+}
+
+
+
+namespace Carpet {
+
+ using namespace std;
+
+
+
+ void CycleTimeLevels (const cGH* cgh)
+ {
+ Checkpoint ("CycleTimeLevels");
+ assert (is_level_mode());
+
+ for (int group=0; group<CCTK_NumGroups(); ++group) {
+ assert (group<(int)arrdata.size());
+ if (CCTK_QueryGroupStorageI(cgh, group)) {
+ switch (CCTK_GroupTypeI(group)) {
+
+ case CCTK_GF:
+ assert (reflevel>=0 && reflevel<reflevels);
+ for (int var=0; var<CCTK_NumVarsInGroupI(group); ++var) {
+ for (int m=0; m<(int)arrdata.at(group).size(); ++m) {
+ assert (m<(int)arrdata.at(group).size());
+ assert (var<(int)arrdata.at(group).at(m).data.size());
+ for (int c=0; c<arrdata.at(group).at(m).hh->components(reflevel); ++c) {
+ arrdata.at(group).at(m).data.at(var)->cycle (reflevel, c, mglevel);
+ }
+ }
+ }
+ break;
+
+ case CCTK_SCALAR:
+ case CCTK_ARRAY:
+ if (do_global_mode) {
+ for (int var=0; var<CCTK_NumVarsInGroupI(group); ++var) {
+ assert (var<(int)arrdata.at(group).at(0).data.size());
+ for (int c=0; c<arrdata.at(group).at(0).hh->components(0); ++c) {
+ arrdata.at(group).at(0).data.at(var)->cycle (0, c, mglevel);
+ }
+ }
+ }
+ break;
+
+ default:
+ assert (0);
+ } // switch grouptype
+ } // if storage
+ } // for group
+ }
+
+
+
+ void FlipTimeLevels (const cGH* cgh)
+ {
+ Checkpoint ("FlipTimeLevels");
+ assert (is_level_mode());
+
+ for (int group=0; group<CCTK_NumGroups(); ++group) {
+ assert (group<(int)arrdata.size());
+ if (CCTK_QueryGroupStorageI(cgh, group)) {
+ const int num_vars = CCTK_NumVarsInGroupI(group);
+ if (num_vars>0) {
+ const int var0 = CCTK_FirstVarIndexI(group);
+ assert (var0>=0);
+
+ switch (CCTK_GroupTypeI(group)) {
+
+ case CCTK_GF:
+ for (int m=0; m<(int)arrdata.at(group).size(); ++m) {
+ for (int var=0; var<CCTK_NumVarsInGroupI(group); ++var) {
+ assert (var<(int)arrdata.at(group).at(m).data.size());
+ for (int c=0; c<arrdata.at(group).at(m).hh->components(reflevel); ++c) {
+ arrdata.at(group).at(m).data.at(var)->flip (reflevel, c, mglevel);
+ }
+ }
+ }
+ break;
+
+ case CCTK_SCALAR:
+ case CCTK_ARRAY:
+ if (do_global_mode) {
+ for (int var=0; var<CCTK_NumVarsInGroupI(group); ++var) {
+ assert (var<(int)arrdata.at(group).at(0).data.size());
+ for (int c=0; c<arrdata.at(group).at(0).hh->components(0); ++c) {
+ arrdata.at(group).at(0).data.at(var)->flip (0, c, mglevel);
+ }
+ }
+ }
+ break;
+
+ default:
+ assert (0);
+ } // switch grouptype
+
+ } // if num_vars>0
+ } // if storage
+ } // for group
+ }
+
+} // namespace Carpet
diff --git a/Carpet/Carpet/src/Evolve.cc b/Carpet/Carpet/src/Evolve.cc
new file mode 100644
index 000000000..e226a8330
--- /dev/null
+++ b/Carpet/Carpet/src/Evolve.cc
@@ -0,0 +1,351 @@
+#include <assert.h>
+#include <stdlib.h>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+#include "cctk_Termination.h"
+
+// IRIX wants this before <time.h>
+#if HAVE_SYS_TYPES_H
+# include <sys/types.h>
+#endif
+
+#if TIME_WITH_SYS_TIME
+# include <sys/time.h>
+# include <time.h>
+#else
+# if HAVE_SYS_TIME_H
+# include <sys/time.h>
+# elif HAVE_TIME_H
+# include <time.h>
+# endif
+#endif
+
+#if HAVE_UNISTD_H
+# include <unistd.h>
+#endif
+
+#include "dist.hh"
+#include "th.hh"
+
+#include "carpet.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/Evolve.cc,v 1.54 2004/08/19 15:38:20 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_Carpet_Evolve_cc);
+}
+
+
+
+namespace Carpet {
+
+ using namespace std;
+
+
+
+ static bool do_terminate (const cGH *cgh,
+ const CCTK_REAL time, const int iteration)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ bool term;
+
+ // Early shortcut
+ if (terminate_next || CCTK_TerminationReached(cgh)) {
+
+ term = true;
+
+ } else {
+
+ const bool term_iter = iteration >= cctk_itlast;
+ const bool term_time
+ = (delta_time > 0
+ ? time >= cctk_final_time - 1.0e-8 * cgh->cctk_delta_time
+ : time <= cctk_final_time - 1.0e-8 * cgh->cctk_delta_time);
+#ifdef HAVE_TIME_GETTIMEOFDAY
+ // get the current time
+ struct timeval tv;
+ gettimeofday (&tv, 0);
+ const double thetime = tv.tv_sec + tv.tv_usec / 1e6;
+
+ static bool firsttime = true;
+ static double initial_runtime;
+ if (firsttime) {
+ firsttime = false;
+ initial_runtime = thetime;
+ }
+
+ const double runtime = thetime - initial_runtime;
+ const bool term_runtime = (max_runtime > 0
+ && runtime >= 60.0 * max_runtime);
+#else
+ const bool term_runtime = false;
+#endif
+
+ if (CCTK_Equals(terminate, "never")) {
+ term = false;
+ } else if (CCTK_Equals(terminate, "iteration")) {
+ term = term_iter;
+ } else if (CCTK_Equals(terminate, "time")) {
+ term = term_time;
+ } else if (CCTK_Equals(terminate, "runtime")) {
+ term = term_runtime;
+ } else if (CCTK_Equals(terminate, "any")) {
+ term = term_iter || term_time || term_runtime;
+ } else if (CCTK_Equals(terminate, "all")) {
+ term = term_iter && term_time && term_runtime;
+ } else if (CCTK_Equals(terminate, "either")) {
+ term = term_iter || term_time;
+ } else if (CCTK_Equals(terminate, "both")) {
+ term = term_iter && term_time;
+ } else if (CCTK_Equals(terminate, "immediately")) {
+ term = true;
+ } else {
+ CCTK_WARN (0, "Unsupported termination condition");
+ }
+
+ }
+
+ {
+ int local, global;
+ local = term;
+ MPI_Allreduce (&local, &global, 1, MPI_INT, MPI_LOR, dist::comm);
+ term = global;
+ }
+
+ return term;
+ }
+
+
+
+ int Evolve (tFleshConfig* fc)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ Waypoint ("Starting evolution loop");
+
+ const int convlev = 0;
+ cGH* cgh = fc->GH[convlev];
+
+ // Main loop
+ while (! do_terminate(cgh, cgh->cctk_time, cgh->cctk_iteration)) {
+
+
+
+ // Advance time
+ ++cgh->cctk_iteration;
+ global_time = cctk_initial_time
+ + cgh->cctk_iteration * delta_time / maxreflevelfact;
+ cgh->cctk_time = global_time;
+ if ((cgh->cctk_iteration-1)
+ % (maxreflevelfact / ipow(reffact, reflevels-1)) == 0) {
+ Waypoint ("Evolving iteration %d at t=%g",
+ cgh->cctk_iteration, (double)cgh->cctk_time);
+ }
+
+
+
+ // Regrid
+ {
+ bool did_regrid = false;
+ for (int rl=0; rl<reflevels; ++rl) {
+ {
+ const int ml=0;
+ const int do_every = maxreflevelfact / ipow(reffact, rl);
+ if ((cgh->cctk_iteration-1) % do_every == 0) {
+ enter_global_mode (cgh, ml);
+ enter_level_mode (cgh, rl);
+
+ Checkpoint ("Regrid");
+ did_regrid |= Regrid (cgh, false, true);
+
+ leave_level_mode (cgh);
+ leave_global_mode (cgh);
+ } // if do_every
+ } // ml
+ } // for rl
+
+ if (did_regrid) {
+ for (int rl=0; rl<reflevels; ++rl) {
+ for (int ml=mglevels-1; ml>=0; --ml) {
+ enter_global_mode (cgh, ml);
+ enter_level_mode (cgh, rl);
+
+ do_global_mode = reflevel==0;
+ do_meta_mode = do_global_mode && mglevel==mglevels-1;
+
+ Waypoint ("Postregrid at iteration %d time %g%s%s",
+ cgh->cctk_iteration, (double)cgh->cctk_time,
+ (do_global_mode ? " (global)" : ""),
+ (do_meta_mode ? " (meta)" : ""));
+
+ // Postregrid
+ Checkpoint ("Scheduling POSTREGRID");
+ CCTK_ScheduleTraverse ("CCTK_POSTREGRID", cgh, CallFunction);
+
+ leave_level_mode (cgh);
+ leave_global_mode (cgh);
+ } // for ml
+ } // for rl
+ } // if did_regrid
+ }
+
+
+
+ for (int ml=mglevels-1; ml>=0; --ml) {
+
+ bool have_done_global_mode = false;
+ bool have_done_anything = false;
+
+ for (int rl=0; rl<reflevels; ++rl) {
+ const int do_every
+ = ipow(mgfact, ml) * (maxreflevelfact / ipow(reffact, rl));
+ if ((cgh->cctk_iteration-1) % do_every == 0) {
+ enter_global_mode (cgh, ml);
+ enter_level_mode (cgh, rl);
+
+ do_global_mode = ! have_done_global_mode;
+ do_meta_mode = do_global_mode && mglevel==mglevels-1;
+ assert (! (have_done_global_mode && do_global_mode));
+ have_done_global_mode |= do_global_mode;
+ have_done_anything = true;
+
+ // Advance times
+ for (int m=0; m<maps; ++m) {
+ vtt.at(m)->advance_time (reflevel, mglevel);
+ }
+ cgh->cctk_time = (global_time
+ - delta_time / maxreflevelfact
+ + delta_time * mglevelfact / reflevelfact);
+ CycleTimeLevels (cgh);
+
+ Waypoint ("Evolution I at iteration %d time %g%s%s",
+ cgh->cctk_iteration, (double)cgh->cctk_time,
+ (do_global_mode ? " (global)" : ""),
+ (do_meta_mode ? " (meta)" : ""));
+
+ // Checking
+ CalculateChecksums (cgh, allbutcurrenttime);
+ Poison (cgh, currenttimebutnotifonly);
+
+ // Evolve
+ Checkpoint ("Scheduling PRESTEP");
+ CCTK_ScheduleTraverse ("CCTK_PRESTEP", cgh, CallFunction);
+ Checkpoint ("Scheduling EVOL");
+ CCTK_ScheduleTraverse ("CCTK_EVOL", cgh, CallFunction);
+
+ // Checking
+ PoisonCheck (cgh, currenttime);
+
+ leave_level_mode (cgh);
+ leave_global_mode (cgh);
+ } // if do_every
+ } // for rl
+
+ if (have_done_anything) assert (have_done_global_mode);
+
+ } // for ml
+
+
+
+ for (int ml=mglevels-1; ml>=0; --ml) {
+ for (int rl=reflevels-1; rl>=0; --rl) {
+ const int do_every
+ = ipow(mgfact, ml) * (maxreflevelfact / ipow(reffact, rl));
+ if (cgh->cctk_iteration % do_every == 0) {
+ enter_global_mode (cgh, ml);
+ enter_level_mode (cgh, rl);
+
+ Waypoint ("Evolution/Restrict at iteration %d time %g",
+ cgh->cctk_iteration, (double)cgh->cctk_time);
+
+ // Restrict
+ Restrict (cgh);
+
+ leave_level_mode (cgh);
+ leave_global_mode (cgh);
+ } // if do_every
+ } // for rl
+ } // for ml
+
+
+
+ for (int ml=mglevels-1; ml>=0; --ml) {
+
+ bool have_done_global_mode = false;
+ bool have_done_anything = false;
+
+ for (int rl=0; rl<reflevels; ++rl) {
+ const int do_every
+ = ipow(mgfact, ml) * (maxreflevelfact / ipow(reffact, rl));
+ if (cgh->cctk_iteration % do_every == 0) {
+ enter_global_mode (cgh, ml);
+ enter_level_mode (cgh, rl);
+
+ int finest_active_reflevel = -1;
+ {
+ for (int rl_=0; rl_<reflevels; ++rl_) {
+ const int do_every_
+ = ipow(mgfact, ml) * (maxreflevelfact / ipow(reffact, rl_));
+ if (cgh->cctk_iteration % do_every_ == 0) {
+ finest_active_reflevel = rl_;
+ }
+ }
+ assert (finest_active_reflevel >= 0);
+ }
+ do_global_mode = rl == finest_active_reflevel;
+ do_meta_mode = do_global_mode && mglevel==mglevels-1;
+ assert (! (have_done_global_mode && do_global_mode));
+ have_done_global_mode |= do_global_mode;
+ have_done_anything = true;
+
+ Waypoint ("Evolution II at iteration %d time %g%s%s",
+ cgh->cctk_iteration, (double)cgh->cctk_time,
+ (do_global_mode ? " (global)" : ""),
+ (do_meta_mode ? " (meta)" : ""));
+
+ Checkpoint ("Scheduling POSTRESTRICT");
+ CCTK_ScheduleTraverse ("CCTK_POSTRESTRICT", cgh, CallFunction);
+
+ // Poststep
+ Checkpoint ("Scheduling POSTSTEP");
+ CCTK_ScheduleTraverse ("CCTK_POSTSTEP", cgh, CallFunction);
+
+ // Checking
+ PoisonCheck (cgh, currenttime);
+ CalculateChecksums (cgh, currenttime);
+
+ // Checkpoint
+ Checkpoint ("Scheduling CHECKPOINT");
+ CCTK_ScheduleTraverse ("CCTK_CHECKPOINT", cgh, CallFunction);
+
+ // Analysis
+ Checkpoint ("Scheduling ANALYSIS");
+ CCTK_ScheduleTraverse ("CCTK_ANALYSIS", cgh, CallFunction);
+
+ // Output
+ Checkpoint ("OutputGH");
+ CCTK_OutputGH (cgh);
+
+ // Checking
+ CheckChecksums (cgh, alltimes);
+
+ leave_level_mode (cgh);
+ leave_global_mode (cgh);
+ } // if do_every
+ } // for rl
+
+ if (have_done_anything) assert (have_done_global_mode);
+
+ } // for ml
+
+
+
+ } // main loop
+
+ Waypoint ("Done with evolution loop");
+
+ return 0;
+ }
+
+} // namespace Carpet
diff --git a/Carpet/Carpet/src/Initialise.cc b/Carpet/Carpet/src/Initialise.cc
new file mode 100644
index 000000000..fde570065
--- /dev/null
+++ b/Carpet/Carpet/src/Initialise.cc
@@ -0,0 +1,556 @@
+#include <assert.h>
+#include <stdlib.h>
+
+#include <iostream>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+#include "cctki_GHExtensions.h"
+#include "cctki_ScheduleBindings.h"
+#include "cctki_WarnLevel.h"
+
+#include "carpet.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/Initialise.cc,v 1.52 2004/08/19 15:38:20 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_Carpet_Initialise_cc);
+}
+
+
+
+namespace Carpet {
+
+ using namespace std;
+
+
+
+ int Initialise (tFleshConfig* fc)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ // Initialise stuff
+ const int convlev = 0;
+ cGH* const cgh = CCTK_SetupGH (fc, convlev);
+ CCTKi_AddGH (fc, convlev, cgh);
+
+ // Delay checkpoint until MPI has been initialised
+ Waypoint ("Starting initialisation");
+
+ // Initialise stuff
+ cgh->cctk_iteration = 0;
+ global_time = cctk_initial_time;
+ delta_time = 1.0;
+ cgh->cctk_time = global_time;
+ cgh->cctk_delta_time = delta_time;
+
+ do_global_mode = true;
+ do_meta_mode = true;
+
+ // Enable storage and communtication
+ CCTKi_ScheduleGHInit (cgh);
+
+ // Initialise stuff
+ CCTKi_InitGHExtensions (cgh);
+
+
+
+ // Output the grid structure
+ {
+ // Loop over maps
+ for (int m=0; m<maps; ++m) {
+ // Write grid structure to file
+ OutputGridStructure
+ (cgh, m,
+ vhh.at(m)->extents, vhh.at(m)->outer_boundaries,
+ vhh.at(m)->processors);
+ } // loop over maps
+ }
+
+
+
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ do_global_mode = true;
+ do_meta_mode = mglevel==mglevels-1;
+
+ // Register coordinates
+ Checkpoint ("Scheduling CCTK_WRAGH");
+ CCTK_ScheduleTraverse ("CCTK_WRAGH", cgh, CallFunction);
+
+ // Check parameters
+ Checkpoint ("Scheduling PARAMCHECK");
+ CCTK_ScheduleTraverse ("CCTK_PARAMCHECK", cgh, CallFunction);
+ CCTKi_FinaliseParamWarn();
+ } END_MGLEVEL_LOOP;
+
+
+
+ if (fc->recovered) {
+ // if recovering
+
+
+
+ for (int rl=0; rl<reflevels; ++rl) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ enter_level_mode (cgh, rl);
+ do_global_mode = reflevel==0;
+ do_meta_mode = do_global_mode && mglevel==mglevels-1;
+
+ cgh->cctk_time = global_time;
+
+ Waypoint ("Recovering I at iteration %d time %g%s%s",
+ cgh->cctk_iteration, (double)cgh->cctk_time,
+ (do_global_mode ? " (global)" : ""),
+ (do_meta_mode ? " (meta)" : ""));
+
+ // Set up the grids
+ Checkpoint ("Scheduling BASEGRID");
+ CCTK_ScheduleTraverse ("CCTK_BASEGRID", cgh, CallFunction);
+
+ // Recover
+ Checkpoint ("Scheduling RECOVER_VARIABLES");
+ CCTK_ScheduleTraverse ("CCTK_RECOVER_VARIABLES", cgh, CallFunction);
+
+ leave_level_mode (cgh);
+ } END_MGLEVEL_LOOP;
+
+ // Regrid
+ {
+ bool did_regrid = false;
+ {
+ const int ml=0;
+ enter_global_mode (cgh, ml);
+ enter_level_mode (cgh, rl);
+
+ // Regrid
+ Checkpoint ("Regrid");
+ did_regrid |= Regrid (cgh, true, false);
+
+ leave_level_mode (cgh);
+ leave_global_mode (cgh);
+ } // ml
+
+ if (did_regrid) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ enter_level_mode (cgh, rl);
+ do_global_mode = true;
+ do_meta_mode = do_global_mode && mglevel==mglevels-1;
+
+ Waypoint ("Postregrid at iteration %d time %g%s%s",
+ cgh->cctk_iteration, (double)cgh->cctk_time,
+ (do_global_mode ? " (global)" : ""),
+ (do_meta_mode ? " (meta)" : ""));
+
+ // Postregrid
+ Checkpoint ("Scheduling POSTREGRID");
+ CCTK_ScheduleTraverse ("CCTK_POSTREGRID", cgh, CallFunction);
+
+ leave_level_mode (cgh);
+ } END_MGLEVEL_LOOP;
+ } // if did_regrid
+ }
+
+ } // for rl
+
+
+
+ for (int rl=0; rl<reflevels; ++rl) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ enter_level_mode (cgh, rl);
+ do_global_mode = reflevel==reflevels-1;
+ do_meta_mode = do_global_mode && mglevel==mglevels-1;
+
+ Waypoint ("Recovering II at iteration %d time %g%s%s",
+ cgh->cctk_iteration, (double)cgh->cctk_time,
+ (do_global_mode ? " (global)" : ""),
+ (do_meta_mode ? " (meta)" : ""));
+
+ // Post recover
+ Checkpoint ("Scheduling POST_RECOVER_VARIABLES");
+ CCTK_ScheduleTraverse
+ ("CCTK_POST_RECOVER_VARIABLES", cgh, CallFunction);
+
+ // Checking
+ PoisonCheck (cgh, alltimes);
+ CheckChecksums (cgh, allbutcurrenttime);
+
+ leave_level_mode (cgh);
+ } END_MGLEVEL_LOOP;
+ } // for rl
+
+
+
+ } else {
+ // if not recovering
+
+
+
+ for (int rl=0; rl<reflevels; ++rl) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ enter_level_mode (cgh, rl);
+ do_global_mode = reflevel==0;
+ do_meta_mode = do_global_mode && mglevel==mglevels-1;
+
+ cgh->cctk_time = global_time;
+
+ Waypoint ("Initialisation I at iteration %d time %g%s%s",
+ cgh->cctk_iteration, (double)cgh->cctk_time,
+ (do_global_mode ? " (global)" : ""),
+ (do_meta_mode ? " (meta)" : ""));
+
+ // Checking
+ Poison (cgh, alltimes);
+
+ // Set up the grids
+ Checkpoint ("Scheduling BASEGRID");
+ CCTK_ScheduleTraverse ("CCTK_BASEGRID", cgh, CallFunction);
+
+ const int num_tl = init_each_timelevel ? 3 : 1;
+
+ // Rewind
+ for (int m=0; m<maps; ++m) {
+ vtt.at(m)->set_delta
+ (reflevel, mglevel, - vtt.at(m)->get_delta (reflevel, mglevel));
+ FlipTimeLevels (cgh);
+ for (int tl=0; tl<num_tl; ++tl) {
+ vtt.at(m)->advance_time (reflevel, mglevel);
+ CycleTimeLevels (cgh);
+ }
+ vtt.at(m)->set_delta
+ (reflevel, mglevel, - vtt.at(m)->get_delta (reflevel, mglevel));
+ FlipTimeLevels (cgh);
+ }
+
+ const bool outer_do_global_mode = do_global_mode;
+ for (int tl=num_tl-1; tl>=0; --tl) {
+ do_global_mode = outer_do_global_mode && tl==0;
+
+ // Advance times
+ for (int m=0; m<maps; ++m) {
+ vtt.at(m)->advance_time (reflevel, mglevel);
+ }
+ cgh->cctk_time
+ = global_time - tl * delta_time * mglevelfact / reflevelfact;
+ CycleTimeLevels (cgh);
+
+ // Set up the initial data
+ Checkpoint ("Scheduling INITIAL");
+ CCTK_ScheduleTraverse ("CCTK_INITIAL", cgh, CallFunction);
+
+ } // for tl
+ do_global_mode = outer_do_global_mode;
+
+ // Checking
+ PoisonCheck (cgh, currenttime);
+
+ leave_level_mode (cgh);
+ } END_MGLEVEL_LOOP;
+
+ // Regrid
+ {
+ bool did_regrid = false;
+ {
+ const int ml=0;
+ enter_global_mode (cgh, ml);
+ enter_level_mode (cgh, rl);
+
+ // Regrid
+ Checkpoint ("Regrid");
+ did_regrid |= Regrid (cgh, false, prolongate_initial_data);
+
+ leave_level_mode (cgh);
+ leave_global_mode (cgh);
+ } // ml
+
+ if (did_regrid) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ enter_level_mode (cgh, rl);
+ do_global_mode = true;
+ do_meta_mode = do_global_mode && mglevel==mglevels-1;
+
+ Waypoint ("Postregrid at iteration %d time %g%s%s",
+ cgh->cctk_iteration, (double)cgh->cctk_time,
+ (do_global_mode ? " (global)" : ""),
+ (do_meta_mode ? " (meta)" : ""));
+
+ // Postregrid
+ Checkpoint ("Scheduling POSTREGRID");
+ CCTK_ScheduleTraverse ("CCTK_POSTREGRID", cgh, CallFunction);
+
+ leave_level_mode (cgh);
+ } END_MGLEVEL_LOOP;
+ } // if did_regrid
+ }
+
+ } // for rl
+
+
+
+ for (int rl=reflevels-1; rl>=0; --rl) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ enter_level_mode (cgh, rl);
+
+ Waypoint ("Initialisation/Restrict at iteration %d time %g",
+ cgh->cctk_iteration, (double)cgh->cctk_time);
+
+ // Restrict
+ Restrict (cgh);
+
+ leave_level_mode (cgh);
+ } END_MGLEVEL_LOOP;
+ } // for rl
+
+
+
+ for (int rl=0; rl<reflevels; ++rl) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ enter_level_mode (cgh, rl);
+ do_global_mode = reflevel==reflevels-1;
+ do_meta_mode = do_global_mode && mglevel==mglevels-1;
+
+ Waypoint ("Initialisation II at iteration %d time %g%s%s",
+ cgh->cctk_iteration, (double)cgh->cctk_time,
+ (do_global_mode ? " (global)" : ""),
+ (do_meta_mode ? " (meta)" : ""));
+
+ Checkpoint ("Scheduling POSTRESTRICTINITIAL");
+ CCTK_ScheduleTraverse
+ ("CCTK_POSTRESTRICTINITIAL", cgh, CallFunction);
+
+ // Postinitial
+ Checkpoint ("Scheduling POSTINITIAL");
+ CCTK_ScheduleTraverse ("CCTK_POSTINITIAL", cgh, CallFunction);
+
+ // Poststep
+ Checkpoint ("Scheduling POSTSTEP");
+ CCTK_ScheduleTraverse ("CCTK_POSTSTEP", cgh, CallFunction);
+
+ // Checking
+ PoisonCheck (cgh, alltimes);
+ CheckChecksums (cgh, allbutcurrenttime);
+
+ leave_level_mode (cgh);
+ } END_MGLEVEL_LOOP;
+ } // for rl
+
+
+
+ if (init_3_timelevels) {
+ // Use Scott Hawley's algorithm for getting two extra
+ // timelevels of data
+ Waypoint ("Initialising three timelevels");
+
+ for (int rl=0; rl<reflevels; ++rl) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ enter_level_mode (cgh, rl);
+ do_global_mode = reflevel==0;
+ do_meta_mode = do_global_mode && mglevel==mglevels-1;
+
+ // Advance times
+ for (int m=0; m<maps; ++m) {
+ vtt.at(m)->advance_time (reflevel, mglevel);
+ }
+ cgh->cctk_time
+ = global_time + delta_time * mglevelfact / reflevelfact;
+ CycleTimeLevels (cgh);
+
+ Waypoint ("Initialisation 3TL evolution I (a) (forwards) at iteration %d time %g%s%s",
+ cgh->cctk_iteration, (double)cgh->cctk_time,
+ (do_global_mode ? " (global)" : ""),
+ (do_meta_mode ? " (meta)" : ""));
+
+ // Checking
+ CalculateChecksums (cgh, allbutcurrenttime);
+ Poison (cgh, currenttimebutnotifonly);
+
+ // Evolve forward
+ Checkpoint ("Scheduling PRESTEP");
+ CCTK_ScheduleTraverse ("CCTK_PRESTEP", cgh, CallFunction);
+ Checkpoint ("Scheduling EVOL");
+ CCTK_ScheduleTraverse ("CCTK_EVOL", cgh, CallFunction);
+
+ // Checking
+ PoisonCheck (cgh, currenttime);
+
+ leave_level_mode (cgh);
+ } END_MGLEVEL_LOOP;
+ } // for rl
+
+ delta_time *= -1;
+ for (int rl=0; rl<reflevels; ++rl) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ enter_level_mode (cgh, rl);
+ do_global_mode = reflevel==0;
+ do_meta_mode = do_global_mode && mglevel==mglevels-1;
+
+ // Flip time levels
+ Waypoint ("Flipping timelevels");
+ FlipTimeLevels (cgh);
+
+ cgh->cctk_time
+ = global_time + delta_time * mglevelfact / reflevelfact;
+
+ leave_level_mode (cgh);
+ } END_MGLEVEL_LOOP;
+ } // for rl
+
+ for (int rl=0; rl<reflevels; ++rl) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ enter_level_mode (cgh, rl);
+ do_global_mode = reflevel==0;
+ do_meta_mode = do_global_mode && mglevel==mglevels-1;
+
+ Waypoint ("Initialisation 3TL evolution I (b) (backwards) at iteration %d time %g%s%s",
+ cgh->cctk_iteration, (double)cgh->cctk_time,
+ (do_global_mode ? " (global)" : ""),
+ (do_meta_mode ? " (meta)" : ""));
+
+ // Checking
+ CalculateChecksums (cgh, allbutcurrenttime);
+ Poison (cgh, currenttimebutnotifonly);
+
+ // Evolve backward
+ Checkpoint ("Scheduling PRESTEP");
+ CCTK_ScheduleTraverse ("CCTK_PRESTEP", cgh, CallFunction);
+ Checkpoint ("Scheduling EVOL");
+ CCTK_ScheduleTraverse ("CCTK_EVOL", cgh, CallFunction);
+
+ // Checking
+ PoisonCheck (cgh, alltimes);
+
+ leave_level_mode (cgh);
+ } END_MGLEVEL_LOOP;
+ } // for rl
+
+ Waypoint ("Hourglass structure in place");
+
+ // Evolve each level "backwards" one more timestep
+ // Starting with the finest level and proceeding to the coarsest
+ for (int rl=reflevels-1; rl>=0; --rl) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ enter_level_mode (cgh, rl);
+ do_global_mode = reflevel==0;
+ do_meta_mode = do_global_mode && mglevel==mglevels-1;
+
+ Waypoint ("Initialisation 3TL evolution II (b) (backwards) at iteration %d time %g%s%s",
+ cgh->cctk_iteration, (double)cgh->cctk_time,
+ (do_global_mode ? " (global)" : ""),
+ (do_meta_mode ? " (meta)" : ""));
+
+ // Restrict
+ Restrict (cgh);
+
+ Checkpoint ("Scheduling POSTRESTRICT");
+ CCTK_ScheduleTraverse ("CCTK_POSTRESTRICT", cgh, CallFunction);
+
+ // Poststep
+ Checkpoint ("Scheduling POSTSTEP");
+ CCTK_ScheduleTraverse ("CCTK_POSTSTEP", cgh, CallFunction);
+
+ // Checking
+ PoisonCheck (cgh, alltimes);
+
+ // Advance times
+ for (int m=0; m<maps; ++m) {
+ vtt.at(m)->advance_time (reflevel, mglevel);
+ }
+ cgh->cctk_time
+ = global_time + 2 * delta_time * mglevelfact / reflevelfact;
+ CycleTimeLevels (cgh);
+
+ Waypoint ("Initialisation 3TL evolution I (c) (backwards) at iteration %d time %g%s%s",
+ cgh->cctk_iteration, (double)cgh->cctk_time,
+ (do_global_mode ? " (global)" : ""),
+ (do_meta_mode ? " (meta)" : ""));
+
+ // Checking
+ CalculateChecksums (cgh, allbutcurrenttime);
+ Poison (cgh, currenttimebutnotifonly);
+
+ // Evolve backward
+ Checkpoint ("Scheduling PRESTEP");
+ CCTK_ScheduleTraverse ("CCTK_PRESTEP", cgh, CallFunction);
+ Checkpoint ("Scheduling EVOL");
+ CCTK_ScheduleTraverse ("CCTK_EVOL", cgh, CallFunction);
+ Checkpoint ("Scheduling POSTSTEP");
+ CCTK_ScheduleTraverse ("CCTK_POSTSTEP", cgh, CallFunction);
+
+ // Checking
+ PoisonCheck (cgh, alltimes);
+
+ leave_level_mode (cgh);
+ } END_MGLEVEL_LOOP;
+ } // for rl
+
+ delta_time *= -1;
+ for (int rl=0; rl<reflevels; ++rl) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ enter_level_mode (cgh, rl);
+ do_global_mode = reflevel==0;
+ do_meta_mode = do_global_mode && mglevel==mglevels-1;
+
+ // Flip time levels back
+ Waypoint ("Flipping timelevels back");
+ FlipTimeLevels (cgh);
+
+ // Invert level times back
+ for (int m=0; m<maps; ++m) {
+ vtt.at(m)->set_delta
+ (reflevel, mglevel, - vtt.at(m)->get_delta (reflevel, mglevel));
+ vtt.at(m)->advance_time (reflevel, mglevel);
+ vtt.at(m)->advance_time (reflevel, mglevel);
+ vtt.at(m)->set_delta
+ (reflevel, mglevel, - vtt.at(m)->get_delta (reflevel, mglevel));
+ }
+ cgh->cctk_time = global_time;
+
+ leave_level_mode (cgh);
+ } END_MGLEVEL_LOOP;
+ } // for rl
+
+ Waypoint ("Finished initialising three timelevels");
+
+ } // if init_3_timelevels
+
+ } // if not recovering
+
+
+
+ for (int rl=0; rl<reflevels; ++rl) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ enter_level_mode (cgh, rl);
+ do_global_mode = reflevel==reflevels-1;
+ do_meta_mode = do_global_mode && mglevel==mglevels-1;
+
+ Waypoint ("Initialisation III at iteration %d time %g%s%s",
+ cgh->cctk_iteration, (double)cgh->cctk_time,
+ (do_global_mode ? " (global)" : ""),
+ (do_meta_mode ? " (meta)" : ""));
+
+ // Checkpoint
+ Checkpoint ("Scheduling CPINITIAL");
+ CCTK_ScheduleTraverse ("CCTK_CPINITIAL", cgh, CallFunction);
+
+ // Analysis
+ Checkpoint ("Scheduling ANALYSIS");
+ CCTK_ScheduleTraverse ("CCTK_ANALYSIS", cgh, CallFunction);
+
+ // Output
+ Checkpoint ("OutputGH");
+ CCTK_OutputGH (cgh);
+
+ // Checking
+ PoisonCheck (cgh, alltimes);
+ CheckChecksums (cgh, allbutcurrenttime);
+
+ leave_level_mode (cgh);
+ } END_MGLEVEL_LOOP;
+ } // for rl
+
+
+
+ Waypoint ("Done with initialisation");
+
+ return 0;
+ }
+
+} // namespace Carpet
diff --git a/Carpet/Carpet/src/Poison.cc b/Carpet/Carpet/src/Poison.cc
new file mode 100644
index 000000000..7f1a00f2e
--- /dev/null
+++ b/Carpet/Carpet/src/Poison.cc
@@ -0,0 +1,194 @@
+#include <assert.h>
+#include <stdlib.h>
+#include <string.h>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "carpet.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/Poison.cc,v 1.17 2004/03/23 19:30:14 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_Carpet_Poison_cc);
+}
+
+
+
+namespace Carpet {
+
+ using namespace std;
+
+
+
+ void Poison (const cGH* cgh, const checktimes where)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ if (! poison_new_timelevels) return;
+
+ for (int group=0; group<CCTK_NumGroups(); ++group) {
+ if (CCTK_QueryGroupStorageI(cgh, group)) {
+ PoisonGroup (cgh, group, where);
+ } // if has storage
+ } // for group
+ }
+
+
+
+ void PoisonGroup (const cGH* cgh, const int group, const checktimes where)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ assert (group>=0 && group<CCTK_NumGroups());
+
+ if (! poison_new_timelevels) return;
+
+ if (! CCTK_QueryGroupStorageI(cgh, group)) {
+ char * const groupname = CCTK_GroupName(group);
+ CCTK_VWarn (2, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Cannot poison group \"%s\" because it has no storage",
+ groupname);
+ free (groupname);
+ return;
+ }
+
+ const int n0 = CCTK_FirstVarIndexI(group);
+ assert (n0>=0);
+ const int nvar = CCTK_NumVarsInGroupI(group);
+ const int sz = CCTK_VarTypeSize(CCTK_VarTypeI(n0));
+ assert (sz>0);
+
+ const int num_tl = CCTK_NumTimeLevelsFromVarI(n0);
+ assert (num_tl>0);
+ const int min_tl = mintl(where, num_tl);
+ const int max_tl = maxtl(where, num_tl);
+
+ if (min_tl <= max_tl) {
+
+ {
+ char * const groupname = CCTK_GroupName(group);
+ Checkpoint ("PoisonGroup \"%s\"", groupname);
+ free (groupname);
+ }
+
+ const int grouptype = CCTK_GroupTypeI(group);
+
+ BEGIN_MAP_LOOP(cgh, grouptype) {
+ BEGIN_LOCAL_COMPONENT_LOOP(cgh, grouptype) {
+
+ ivect size(1);
+ const int gpdim = groupdata.at(group).info.dim;
+ for (int d=0; d<gpdim; ++d) {
+ size[d] = groupdata.at(group).info.lsh[d];
+ }
+ const int np = prod(size);
+
+ for (int var=0; var<nvar; ++var) {
+ const int n = n0 + var;
+ for (int tl=min_tl; tl<=max_tl; ++tl) {
+ memset (cgh->data[n][tl], poison_value, np*sz);
+ } // for tl
+ } // for var
+
+ } END_LOCAL_COMPONENT_LOOP;
+ } END_MAP_LOOP;
+
+ } // if tl
+ }
+
+
+
+ void PoisonCheck (const cGH* cgh, const checktimes where)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ if (! check_for_poison) return;
+
+ Checkpoint ("PoisonCheck");
+
+ for (int group=0; group<CCTK_NumGroups(); ++group) {
+ if (CCTK_QueryGroupStorageI(cgh, group)) {
+
+ const int grouptype = CCTK_GroupTypeI(group);
+ const int n0 = CCTK_FirstVarIndexI(group);
+ assert (n0>=0);
+ const int nvar = CCTK_NumVarsInGroupI(group);
+ const int tp = CCTK_VarTypeI(n0);
+ const int gpdim = groupdata.at(group).info.dim;
+
+ const int num_tl = CCTK_NumTimeLevelsFromVarI(n0);
+ assert (num_tl>0);
+ const int min_tl = mintl(where, num_tl);
+ const int max_tl = maxtl(where, num_tl);
+
+ BEGIN_MAP_LOOP(cgh, grouptype) {
+ BEGIN_LOCAL_COMPONENT_LOOP(cgh, grouptype) {
+
+ ivect size(1);
+ for (int d=0; d<gpdim; ++d) {
+ size[d] = groupdata.at(group).info.lsh[d];
+ }
+ const int np = prod(size);
+
+ for (int var=0; var<nvar; ++var) {
+ const int n = n0 + var;
+
+ for (int tl=min_tl; tl<=max_tl; ++tl) {
+
+ const void* const data = cgh->data[n][tl];
+ int numpoison=0;
+ for (int k=0; k<size[2]; ++k) {
+ for (int j=0; j<size[1]; ++j) {
+ for (int i=0; i<size[0]; ++i) {
+ const int idx = i + size[0] * (j + size[1] * k);
+ bool poisoned=false;
+ switch (tp) {
+#define TYPECASE(N,T) \
+ case N: { \
+ T worm; \
+ memset (&worm, poison_value, sizeof worm); \
+ const T & val = ((const T*)data)[idx]; \
+ poisoned = memcmp (&worm, &val, sizeof worm) == 0; \
+ break; \
+ }
+#include "typecase"
+#undef TYPECASE
+ default:
+ UnsupportedVarType(n);
+ }
+ if (poisoned) {
+ ++numpoison;
+ if (max_poison_locations==-1
+ || numpoison<=max_poison_locations) {
+ char* fullname = CCTK_FullName(n);
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Timelevel %d, component %d, map %d, refinement level %d of the variable \"%s\" contains poison at [%d,%d,%d]",
+ tl, component, map, reflevel, fullname, i,j,k);
+ free (fullname);
+ }
+ } // if poisoned
+ } // for i
+ } // for j
+ } // for k
+ if (max_poison_locations!=-1 && numpoison>max_poison_locations) {
+ char* fullname = CCTK_FullName(n);
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Timelevel %d, component %d, map %d, refinement level %d of the variable \"%s\" contains poison at %d of %d locations; not all locations were printed",
+ tl, component, map, reflevel, fullname, numpoison, np);
+ free (fullname);
+ } else if (numpoison>0) {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Found poison at %d of %d locations",
+ numpoison, np);
+ }
+
+ } // for tl
+ } // for var
+ } END_LOCAL_COMPONENT_LOOP;
+ } END_MAP_LOOP;
+
+ } // if has storage
+ } // for group
+ }
+
+} // namespace Carpet
diff --git a/Carpet/Carpet/src/Recompose.cc b/Carpet/Carpet/src/Recompose.cc
new file mode 100644
index 000000000..e86761021
--- /dev/null
+++ b/Carpet/Carpet/src/Recompose.cc
@@ -0,0 +1,861 @@
+#include <assert.h>
+#include <math.h>
+#include <stdlib.h>
+#include <sys/stat.h>
+#include <sys/types.h>
+
+#include <algorithm>
+#include <fstream>
+#include <iomanip>
+#include <list>
+#include <sstream>
+#include <string>
+#include <vector>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "CactusBase/IOUtil/src/ioGH.h"
+
+#include "bbox.hh"
+#include "bboxset.hh"
+#include "defs.hh"
+#include "gh.hh"
+#include "vect.hh"
+
+#include "carpet.hh"
+#include "modes.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/Recompose.cc,v 1.72 2004/08/19 15:38:20 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_Carpet_Recompose_cc);
+}
+
+#define DEBUG false // false or true
+
+
+
+namespace Carpet {
+
+ using namespace std;
+
+
+
+ // Reduction operator
+ template<typename iter, typename func>
+ static typename func::result_type
+ reduce (iter const first, iter const last,
+ typename func::result_type const & init)
+ {
+ typename func::result_type res (init);
+ for (iter it (first); it != last; ++it) {
+ res = func::operator() (res, *it);
+ }
+ return res;
+ }
+
+
+
+ static void SplitRegions_Automatic_Recursively (bvect const & dims,
+ int const nprocs,
+ rvect const rshape,
+ ibbox const & bb,
+ bbvect const & ob,
+ int const & p,
+ vector<ibbox> & bbs,
+ vector<bbvect> & obs,
+ vector<int> & ps);
+ static void SplitRegions_AsSpecified (const cGH* cgh,
+ vector<ibbox>& bbs,
+ vector<bbvect>& obs,
+ vector<int>& ps);
+
+
+
+ void CheckRegions (const gh<dim>::rexts & bbsss,
+ const gh<dim>::rbnds & obss,
+ const gh<dim>::rprocs& pss)
+ {
+ // At least one level
+ if (bbsss.size() == 0) {
+ CCTK_WARN (0, "I cannot set up a grid hierarchy with zero refinement levels.");
+ }
+ assert (bbsss.size() > 0);
+ // At most maxreflevels levels
+ if ((int)bbsss.size() > maxreflevels) {
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "I cannot set up a grid hierarchy with more than Carpet::max_refinement_levels refinement levels. I found Carpet::max_refinement_levels=%d, while %d levels were requested.",
+ (int)maxreflevels, (int)bbsss.size());
+ }
+ assert ((int)bbsss.size() <= maxreflevels);
+ for (int rl=0; rl<(int)bbsss.size(); ++rl) {
+ // No empty levels
+ assert (bbsss.at(rl).size() > 0);
+ for (int c=0; c<(int)bbsss.at(rl).size(); ++c) {
+ // At least one multigrid level
+ assert (bbsss.at(rl).at(c).size() > 0);
+ for (int ml=0; ml<(int)bbsss.at(rl).at(c).size(); ++ml) {
+ // Check sizes
+ // Do allow processors with zero grid points
+// assert (all(bbsss.at(rl).at(c).at(ml).lower() <= bbsssi.at(rl).at(c).at(ml).upper()));
+ // Check strides
+ const int str = ipow(reffact, maxreflevels-rl-1) * ipow(mgfact, ml);
+ assert (all(bbsss.at(rl).at(c).at(ml).stride() == str));
+ // Check alignments
+ assert (all(bbsss.at(rl).at(c).at(ml).lower() % str == 0));
+ assert (all(bbsss.at(rl).at(c).at(ml).upper() % str == 0));
+ }
+ }
+ }
+
+ assert (pss.size() == bbsss.size());
+ assert (obss.size() == bbsss.size());
+ for (int rl=0; rl<(int)bbsss.size(); ++rl) {
+ assert (obss.at(rl).size() == bbsss.at(rl).size());
+ assert (pss.at(rl).size() == bbsss.at(rl).size());
+ }
+
+ }
+
+
+
+ bool Regrid (const cGH* cgh, const bool force_recompose, const bool do_init)
+ {
+ assert (is_level_mode());
+
+ if (! CCTK_IsFunctionAliased ("Carpet_Regrid")) {
+ static bool didtell = false;
+ if (!didtell) {
+ CCTK_WARN (1, "No regridding routine has been provided. There will be no regridding. Maybe you forgot to activate a regridding thorn?");
+ didtell = true;
+ }
+ return false;
+ }
+
+ bool did_change = false;
+ BEGIN_MAP_LOOP(cgh, CCTK_GF) {
+
+ gh<dim>::rexts bbsss = vhh.at(map)->extents;
+ gh<dim>::rbnds obss = vhh.at(map)->outer_boundaries;
+ gh<dim>::rprocs pss = vhh.at(map)->processors;
+
+ // Check whether to recompose
+ CCTK_INT const do_recompose
+ = Carpet_Regrid (cgh, &bbsss, &obss, &pss, force_recompose);
+ assert (do_recompose >= 0);
+ did_change = did_change || do_recompose;
+
+ if (do_recompose) {
+
+ CCTK_INFO ("Recomposing the grid hierarchy");
+
+ // Check the regions
+ CheckRegions (bbsss, obss, pss);
+ // TODO: check also that the current and all coarser levels
+ // did not change
+
+ // Write grid structure to file
+ OutputGridStructure (cgh, map, bbsss, obss, pss);
+
+ // Recompose
+ vhh.at(map)->recompose (bbsss, obss, pss, do_init);
+
+ OutputGrids (cgh, map, *vhh.at(map));
+
+ }
+
+ } END_MAP_LOOP;
+
+ // Calculate new number of levels
+ reflevels = vhh.at(0)->reflevels();
+ for (int m=0; m<maps; ++m) {
+ assert (vhh.at(m)->reflevels() == reflevels);
+ }
+
+ // One cannot switch off the current level
+ assert (reflevels > reflevel);
+
+ return did_change;
+ }
+
+
+
+ void OutputGrids (const cGH* cgh, const int m, const gh<dim>& hh)
+ {
+ CCTK_INFO ("New grid structure (grid points):");
+ cout << " Refinement level " << reflevel << ", map " << map << endl;
+ for (int rl=0; rl<hh.reflevels(); ++rl) {
+ for (int c=0; c<hh.components(rl); ++c) {
+ for (int ml=0; ml<hh.mglevels(rl,c); ++ml) {
+ const int convfact = ipow(mgfact, ml);
+ const int levfact = ipow(reffact, rl);
+ const ivect lower = hh.extents.at(rl).at(c).at(ml).lower();
+ const ivect upper = hh.extents.at(rl).at(c).at(ml).upper();
+ assert (all(lower * levfact % maxreflevelfact == 0));
+ assert (all(upper * levfact % maxreflevelfact == 0));
+ assert (all(((upper - lower) * levfact / maxreflevelfact)
+ % convfact == 0));
+ cout << " [" << ml << "][" << rl << "][" << m << "][" << c << "]"
+ << " exterior: "
+ << "proc "
+ << hh.processors.at(rl).at(c)
+ << " "
+ << lower * levfact / maxreflevelfact
+ << " : "
+ << upper * levfact / maxreflevelfact
+ << " ("
+ << (upper - lower) * levfact / maxreflevelfact / convfact + 1
+ << ")"
+ << endl;
+ }
+ }
+ }
+
+ CCTK_INFO ("New grid structure (coordinates):");
+ for (int rl=0; rl<hh.reflevels(); ++rl) {
+ for (int c=0; c<hh.components(rl); ++c) {
+ for (int ml=0; ml<hh.mglevels(rl,c); ++ml) {
+ const rvect origin = origin_space.at(0);
+ const rvect delta = delta_space;
+ const ivect lower = hh.extents.at(rl).at(c).at(ml).lower();
+ const ivect upper = hh.extents.at(rl).at(c).at(ml).upper();
+ const int convfact = ipow(mgfact, ml);
+ const int levfact = ipow(reffact, rl);
+ cout << " [" << ml << "][" << rl << "][" << m << "][" << c << "]"
+ << " exterior: "
+ << origin + delta * lower / maxreflevelfact
+ << " : "
+ << origin + delta * upper / maxreflevelfact
+ << " : "
+ << delta * convfact / levfact << endl;
+ }
+ }
+ }
+ }
+
+
+
+ void OutputGridStructure (const cGH * const cgh,
+ const int m,
+ const gh<dim>::rexts & bbsss,
+ const gh<dim>::rbnds & obss,
+ const gh<dim>::rprocs& pss)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ // Output only on the root processor
+ if (CCTK_MyProc(cgh) != 0) return;
+
+ // Output only if output is desired
+ if (strcmp(grid_structure_filename, "") == 0) return;
+
+ // Get grid hierarchy extention from IOUtil
+ const ioGH * const iogh = (const ioGH *)CCTK_GHExtension (cgh, "IO");
+
+ // Output only if IO exists and has been initialised
+ if (! iogh) return;
+
+ assert (iogh);
+
+ // Create the output directory
+ CCTK_CreateDirectory (0755, out_dir);
+
+ ostringstream filenamebuf;
+ filenamebuf << out_dir << "/" << grid_structure_filename;
+ // we need a persistent temporary here
+ string filenamestr = filenamebuf.str();
+ const char * filename = filenamestr.c_str();
+
+ ofstream file;
+
+ static bool do_truncate = true;
+
+ if (do_truncate) {
+ do_truncate = false;
+ struct stat fileinfo;
+ if (! iogh->recovered
+ || stat(filename, &fileinfo)!=0) {
+ file.open (filename, ios::out | ios::trunc);
+ assert (file.good());
+ file << "# grid structure" << endl
+ << "# format: map reflevel component mglevel processor bounding-box is-outer-boundary" << endl;
+ assert (file.good());
+ }
+ }
+ if (! file.is_open()) {
+ file.open (filename, ios::app);
+ assert (file.good());
+ }
+
+ file << "iteration " << cgh->cctk_iteration << endl;
+ file << "maps " << maps << endl;
+ file << m << " reflevels " << bbsss.size() << endl;
+ for (int rl=0; rl<(int)bbsss.size(); ++rl) {
+ file << m << " " << rl << " components " << bbsss.at(rl).size() << endl;
+ for (int c=0; c<(int)bbsss.at(rl).size(); ++c) {
+ file << m << " " << rl << " " << c << " mglevels " << bbsss.at(rl).at(c).size() << endl;
+ for (int ml=0; ml<(int)bbsss.at(rl).at(c).size(); ++ml) {
+ file << m << " " << rl << " " << c << " " << ml << " " << pss.at(rl).at(c) << " " << bbsss.at(rl).at(c).at(ml) << obss.at(rl).at(c) << endl;
+ }
+ }
+ }
+ file << endl;
+
+ file.close();
+ assert (file.good());
+ }
+
+
+
+ // TODO: this routine should go into CarpetRegrid (except maybe
+ // SplitRegions_AlongZ for grid arrays)
+ void SplitRegions (const cGH* cgh, vector<ibbox>& bbs, vector<bbvect>& obs,
+ vector<int>& ps)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ if (CCTK_EQUALS (processor_topology, "along-z")) {
+ SplitRegions_AlongZ (cgh, bbs, obs, ps);
+ } else if (CCTK_EQUALS (processor_topology, "along-dir")) {
+ SplitRegions_AlongDir (cgh, bbs, obs, ps, split_direction);
+ } else if (CCTK_EQUALS (processor_topology, "automatic")) {
+ SplitRegions_Automatic (cgh, bbs, obs, ps);
+ } else if (CCTK_EQUALS (processor_topology, "manual")) {
+ SplitRegions_AsSpecified (cgh, bbs, obs, ps);
+ } else {
+ assert (0);
+ }
+ }
+
+
+
+ void SplitRegions_AlongZ (const cGH* cgh, vector<ibbox>& bbs,
+ vector<bbvect>& obs, vector<int>& ps)
+ {
+ SplitRegions_AlongDir (cgh, bbs, obs, ps, 2);
+ }
+
+
+
+ void SplitRegions_AlongDir (const cGH* cgh, vector<ibbox>& bbs,
+ vector<bbvect>& obs, vector<int>& ps,
+ const int dir)
+ {
+ // Something to do?
+ if (bbs.size() == 0) {
+ ps.resize(0);
+ return;
+ }
+
+ const int nprocs = CCTK_nProcs(cgh);
+
+ if (nprocs==1) {
+ ps.resize(1);
+ ps.at(0) = 0;
+ return;
+ }
+
+ assert (bbs.size() == 1);
+
+ assert (dir>=0 && dir<dim);
+
+ const ivect rstr = bbs.at(0).stride();
+ const ivect rlb = bbs.at(0).lower();
+ const ivect rub = bbs.at(0).upper() + rstr;
+ const bbvect obnd = obs.at(0);
+
+ bbs.resize(nprocs);
+ obs.resize(nprocs);
+ ps.resize(nprocs);
+ for (int c=0; c<nprocs; ++c) {
+ ivect cstr = rstr;
+ ivect clb = rlb;
+ ivect cub = rub;
+ const int glonpz = (rub[dir] - rlb[dir]) / cstr[dir];
+ const int locnpz = (glonpz + nprocs - 1) / nprocs;
+ const int zstep = locnpz * cstr[dir];
+ clb[dir] = rlb[dir] + zstep * c;
+ cub[dir] = rlb[dir] + zstep * (c+1);
+ if (clb[dir] > rub[dir]) clb[dir] = rub[dir];
+ if (cub[dir] > rub[dir]) cub[dir] = rub[dir];
+ assert (clb[dir] <= cub[dir]);
+ assert (cub[dir] <= rub[dir]);
+ bbs.at(c) = ibbox(clb, cub-cstr, cstr);
+ obs.at(c) = obnd;
+ ps.at(c) = c;
+ if (c>0) obs.at(c)[dir][0] = false;
+ if (c<nprocs-1) obs.at(c)[dir][1] = false;
+ }
+
+ for (int n=0; n<(int)ps.size(); ++n) {
+ assert (ps.at(n) == n);
+ }
+ }
+
+
+
+ static void SplitRegions_Automatic_Recursively (bvect const & dims,
+ int const nprocs,
+ rvect const rshape,
+ ibbox const & bb,
+ bbvect const & ob,
+ int const & p,
+ vector<ibbox> & bbs,
+ vector<bbvect> & obs,
+ vector<int> & ps)
+ {
+ if (DEBUG) cout << "SRAR enter" << endl;
+ // check preconditions
+ assert (nprocs >= 1);
+
+ // are we done?
+ if (all(dims)) {
+ if (DEBUG) cout << "SRAR bottom" << endl;
+
+ // check precondition
+ assert (nprocs == 1);
+
+ // return arguments
+ bbs.assign (1, bb);
+ obs.assign (1, ob);
+ ps.assign (1, p);
+
+ // return
+ if (DEBUG) cout << "SRAR exit" << endl;
+ return;
+ }
+
+ // choose a direction
+ int mydim = -1;
+ CCTK_REAL mysize = 0;
+ int alldims = 0;
+ CCTK_REAL allsizes = 1;
+ for (int d=0; d<dim; ++d) {
+ if (! dims[d]) {
+ ++ alldims;
+ allsizes *= rshape[d];
+ if (rshape[d] >= mysize) {
+ mydim = d;
+ mysize = rshape[d];
+ }
+ }
+ }
+ assert (mydim>=0 && mydim<dim);
+ assert (mysize>=0);
+ if (DEBUG) cout << "SRAR mydim " << mydim << endl;
+ if (DEBUG) cout << "SRAR mysize " << mysize << endl;
+
+ if (mysize == 0) {
+ // the bbox is empty
+ if (DEBUG) cout << "SRAR empty" << endl;
+
+ // create the bboxes
+ bbs.clear();
+ obs.clear();
+ ps.clear();
+ bbs.reserve(nprocs);
+ obs.reserve(nprocs);
+ ps.reserve(nprocs);
+
+ // create a new bbox
+ assert (bb.empty());
+ bbvect const newob (false);
+ ibbox const newbb (bb);
+ int const newp (p);
+ if (DEBUG) cout << "SRAR " << mydim << " newbb " << newbb << endl;
+ if (DEBUG) cout << "SRAR " << mydim << " newob " << newob << endl;
+ if (DEBUG) cout << "SRAR " << mydim << " newp " << newp << endl;
+
+ // store
+ bbs.insert (bbs.end(), nprocs, newbb);
+ obs.insert (obs.end(), nprocs, newob);
+ for (int pp=0; pp<nprocs; ++pp) ps.insert (ps.end(), 1, newp+pp);
+
+ // check postconditions
+ assert ((int)bbs.size() == nprocs);
+ assert ((int)obs.size() == nprocs);
+ assert ((int)ps.size() == nprocs);
+ if (DEBUG) cout << "SRAR exit" << endl;
+ return;
+ }
+
+ // mark this direction as done
+ assert (! dims[mydim]);
+ bvect const newdims = dims.replace(mydim, true);
+
+ // choose a number of slices for this direction
+ int const nslices
+ = min(nprocs,
+ (int)floor(mysize * pow(nprocs/allsizes, 1.0/alldims) + 0.5));
+ assert (nslices <= nprocs);
+ if (DEBUG) cout << "SRAR " << mydim << " nprocs " << nprocs << endl;
+ if (DEBUG) cout << "SRAR " << mydim << " nslices " << nslices << endl;
+
+ // split the remaining processors
+ vector<int> mynprocs(nslices);
+ int const mynprocs_base = nprocs / nslices;
+ int const mynprocs_left = nprocs - nslices * mynprocs_base;
+ for (int n=0; n<nslices; ++n) {
+ mynprocs.at(n) = n < mynprocs_left ? mynprocs_base+1 : mynprocs_base;
+ }
+ int sum_mynprocs = 0;
+ for (int n=0; n<nslices; ++n) {
+ sum_mynprocs += mynprocs.at(n);
+ }
+ assert (sum_mynprocs == nprocs);
+ if (DEBUG) cout << "SRAR " << mydim << " mynprocs " << mynprocs << endl;
+
+ // split the region
+ vector<int> myslice(nslices);
+ int slice_left = ((bb.upper() - bb.lower()) / bb.stride())[mydim] + 1;
+ int nprocs_left = nprocs;
+ for (int n=0; n<nslices; ++n) {
+ if (n == nslices-1) {
+ myslice.at(n) = slice_left;
+ } else {
+ myslice.at(n) = (int)floor(1.0 * slice_left * mynprocs.at(n) / nprocs_left + 0.5);
+ }
+ assert (myslice.at(n) >= 0);
+ slice_left -= myslice.at(n);
+ nprocs_left -= mynprocs.at(n);
+ }
+ assert (slice_left == 0);
+ assert (nprocs_left == 0);
+ if (DEBUG) cout << "SRAR " << mydim << " myslice " << myslice << endl;
+
+ // create the bboxes and recurse
+ if (DEBUG) cout << "SRAR " << mydim << ": create bboxes" << endl;
+ bbs.clear();
+ obs.clear();
+ ps.clear();
+ bbs.reserve(nprocs);
+ obs.reserve(nprocs);
+ ps.reserve(nprocs);
+ ivect last_up;
+ for (int n=0; n<nslices; ++n) {
+ if (DEBUG) cout << "SRAR " << mydim << " n " << n << endl;
+
+ // create a new bbox
+ ivect lo = bb.lower();
+ ivect up = bb.upper();
+ ivect str = bb.stride();
+ bbvect newob = ob;
+ if (n > 0) {
+ lo[mydim] = last_up[mydim] + str[mydim];
+ newob[mydim][0] = false;
+ }
+ if (n < nslices-1) {
+ up[mydim] = lo[mydim] + (myslice.at(n)-1) * str[mydim];
+ newob[mydim][1] = false;
+ last_up = up;
+ }
+ ibbox newbb(lo, up, str);
+ int newp(p + n * mynprocs_base + (n < mynprocs_left ? n : mynprocs_left));
+ if (DEBUG) cout << "SRAR " << mydim << " newbb " << newbb << endl;
+ if (DEBUG) cout << "SRAR " << mydim << " newob " << newob << endl;
+ if (DEBUG) cout << "SRAR " << mydim << " newp " << newp << endl;
+
+ // recurse
+ vector<ibbox> newbbs;
+ vector<bbvect> newobs;
+ vector<int> newps;
+ SplitRegions_Automatic_Recursively
+ (newdims, mynprocs.at(n), rshape,
+ newbb, newob, newp, newbbs, newobs, newps);
+ if (DEBUG) cout << "SRAR " << mydim << " newbbs " << newbbs << endl;
+ if (DEBUG) cout << "SRAR " << mydim << " newobs " << newobs << endl;
+ if (DEBUG) cout << "SRAR " << mydim << " newps " << newps << endl;
+
+ // store
+ assert ((int)newbbs.size() == mynprocs.at(n));
+ assert ((int)newobs.size() == mynprocs.at(n));
+ assert ((int)newps.size() == mynprocs.at(n));
+ bbs.insert (bbs.end(), newbbs.begin(), newbbs.end());
+ obs.insert (obs.end(), newobs.begin(), newobs.end());
+ ps.insert (ps.end(), newps.begin(), newps.end());
+ }
+
+ // check postconditions
+ assert ((int)bbs.size() == nprocs);
+ assert ((int)obs.size() == nprocs);
+ assert ((int)ps.size() == nprocs);
+ for (int n=0; n<(int)ps.size(); ++n) {
+ assert ((int)ps.at(n) == p+n);
+ }
+ if (DEBUG) cout << "SRAR exit" << endl;
+ }
+
+
+
+ void SplitRegions_Automatic (const cGH* cgh, vector<ibbox>& bbs,
+ vector<bbvect>& obs, vector<int>& ps)
+ {
+ if (DEBUG) cout << "SRA enter" << endl;
+ // Something to do?
+ if (bbs.size() == 0) {
+ ps.resize(0);
+ return;
+ }
+
+ const int nprocs = CCTK_nProcs(cgh);
+ if (DEBUG) cout << "SRA nprocs " << nprocs << endl;
+
+ // nslices: number of disjoint bboxes
+ int const nslices = bbs.size();
+ if (DEBUG) cout << "SRA nslices " << nslices << endl;
+ // ncomps: number of components per processor
+ int const ncomps = (nslices + nprocs - 1) / nprocs;
+ if (DEBUG) cout << "SRA ncomps " << ncomps << endl;
+ assert (ncomps > 0);
+ vector<int> mysize(nslices);
+ for (int c=0; c<nslices; ++c) {
+ mysize.at(c) = bbs.at(c).size();
+ }
+ vector<int> mynprocs(nslices);
+ {
+ if (DEBUG) cout << "SRA: distributing processors to slices" << endl;
+ int ncomps_left = nprocs * ncomps;
+ for (int c=0; c<nslices; ++c) {
+ mynprocs.at(c) = 1;
+ -- ncomps_left;
+ }
+ while (ncomps_left > 0) {
+ if (DEBUG) cout << "SRA ncomps_left " << ncomps_left << endl;
+ int maxc = -1;
+ CCTK_REAL maxratio = -1;
+ for (int c=0; c<nslices; ++c) {
+ CCTK_REAL const ratio = (CCTK_REAL)mysize.at(c) / mynprocs.at(c);
+ if (ratio > maxratio) { maxc=c; maxratio=ratio; }
+ }
+ assert (maxc>=0 && maxc<nslices);
+ ++ mynprocs.at(maxc);
+ if (DEBUG) cout << "SRA maxc " << maxc << endl;
+ if (DEBUG) cout << "SRA mynprocs[maxc] " << mynprocs.at(maxc) << endl;
+ -- ncomps_left;
+ }
+ assert (ncomps_left == 0);
+ int sum_nprocs = 0;
+ for (int c=0; c<nslices; ++c) {
+ sum_nprocs += mynprocs.at(c);
+ }
+ assert (sum_nprocs == nprocs * ncomps);
+ }
+ if (DEBUG) cout << "SRA mynprocs " << mynprocs << endl;
+
+ vector<ibbox> allbbs;
+ vector<bbvect> allobs;
+ vector<int> allps;
+
+ if (DEBUG) cout << "SRA: splitting regions" << endl;
+ for (int c=0, p=0; c<nslices; p+=mynprocs.at(c), ++c) {
+
+ const ibbox bb = bbs.at(c);
+ const bbvect ob = obs.at(c);
+ if (DEBUG) cout << "SRA c " << c << endl;
+ if (DEBUG) cout << "SRA p " << p << endl;
+ if (DEBUG) cout << "SRA bb " << bb << endl;
+ if (DEBUG) cout << "SRA ob " << ob << endl;
+
+ const ivect rstr = bb.stride();
+ const ivect rlb = bb.lower();
+ const ivect rub = bb.upper() + rstr;
+
+ // calculate real shape factors
+ rvect rshape;
+ if (any(rub == rlb)) {
+ // the bbox is empty
+ rshape = 0.0;
+ } else {
+ for (int d=0; d<dim; ++d) {
+ rshape[d] = (CCTK_REAL)(rub[d]-rlb[d]) / (rub[0]-rlb[0]);
+ }
+ const CCTK_REAL rfact = pow(nprocs / prod(rshape), 1.0/dim);
+ rshape *= rfact;
+ assert (abs(prod(rshape) - nprocs) < 1e-6);
+ }
+ if (DEBUG) cout << "SRA shapes " << rshape << endl;
+
+ bvect const dims = false;
+
+ vector<ibbox> thebbs;
+ vector<bbvect> theobs;
+ vector<int> theps;
+
+ SplitRegions_Automatic_Recursively
+ (dims, mynprocs.at(c), rshape, bb, ob, p, thebbs, theobs, theps);
+ if (DEBUG) cout << "SRA thebbs " << thebbs << endl;
+ if (DEBUG) cout << "SRA theobs " << theobs << endl;
+ if (DEBUG) cout << "SRA theps " << theps << endl;
+
+ allbbs.insert(allbbs.end(), thebbs.begin(), thebbs.end());
+ allobs.insert(allobs.end(), theobs.begin(), theobs.end());
+ allps.insert(allps.end(), theps.begin(), theps.end());
+
+ } // for c
+
+ bbs = allbbs;
+ obs = allobs;
+ ps = allps;
+ for (int n=0; n<(int)ps.size(); ++n) {
+ ps.at(n) /= ncomps;
+ assert (ps.at(n) >= 0 && ps.at(n) < nprocs);
+ }
+
+ if (DEBUG) cout << "SRA exit" << endl;
+ }
+
+
+
+ static void SplitRegions_AsSpecified (const cGH* cgh,
+ vector<ibbox>& bbs,
+ vector<bbvect>& obs,
+ vector<int>& ps)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ // Something to do?
+ if (bbs.size() == 0) {
+ ps.resize(0);
+ return;
+ }
+
+ const int nprocs = CCTK_nProcs(cgh);
+
+ assert (bbs.size() == 1);
+
+ const ivect rstr = bbs.at(0).stride();
+ const ivect rlb = bbs.at(0).lower();
+ const ivect rub = bbs.at(0).upper() + rstr;
+ const bbvect obnd = obs.at(0);
+
+ const ivect nprocs_dir
+ (processor_topology_3d_x, processor_topology_3d_y,
+ processor_topology_3d_z);
+ assert (all (nprocs_dir > 0));
+ if (prod(nprocs_dir) != nprocs) {
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "The specified processor topology [%d,%d,%d] requires %d processors, but there are %d processors", nprocs_dir[0], nprocs_dir[1], nprocs_dir[2], prod(nprocs_dir), nprocs);
+ }
+ assert (prod(nprocs_dir) == nprocs);
+
+ bbs.resize(nprocs);
+ obs.resize(nprocs);
+ ps.resize(nprocs);
+ const ivect cstr = rstr;
+ const ivect glonp = (rub - rlb) / cstr;
+// const ivect locnp = (glonp + nprocs_dir - 1) / nprocs_dir;
+ const ivect locnp = glonp / nprocs_dir;
+ const ivect rem = glonp % nprocs_dir;
+ const ivect step = locnp * cstr;
+ assert (dim==3);
+ for (int k=0; k<nprocs_dir[2]; ++k) {
+ for (int j=0; j<nprocs_dir[1]; ++j) {
+ for (int i=0; i<nprocs_dir[0]; ++i) {
+ const int c = i + nprocs_dir[0] * (j + nprocs_dir[1] * k);
+ const ivect ipos (i, j, k);
+ ivect clb = rlb + step * ipos;
+ ivect cub = rlb + step * (ipos+1);
+// clb = min (clb, rub);
+// cub = min (cub, rub);
+ for (int d=0; d<dim; ++d) {
+ if (ipos[d]<rem[d]) {
+ clb[d] += cstr[d] * ipos[d];
+ cub[d] += cstr[d] * (ipos[d]+1);
+ } else {
+ clb[d] += cstr[d] * rem[d];
+ cub[d] += cstr[d] * rem[d];
+ }
+ }
+ assert (all (clb >= 0));
+ assert (all (clb <= cub));
+ assert (all (cub <= rub));
+ assert (all (! (ipos==0) || clb==rlb));
+ assert (all (! (ipos==nprocs_dir-1) || cub==rub));
+ bbs.at(c) = ibbox(clb, cub-cstr, cstr);
+ obs.at(c) = obnd;
+ ps.at(c) = c;
+ if (i>0) obs.at(c)[0][0] = false;
+ if (j>0) obs.at(c)[1][0] = false;
+ if (k>0) obs.at(c)[2][0] = false;
+ if (i<nprocs_dir[0]-1) obs.at(c)[0][1] = false;
+ if (j<nprocs_dir[1]-1) obs.at(c)[1][1] = false;
+ if (k<nprocs_dir[2]-1) obs.at(c)[2][1] = false;
+ }
+ }
+ }
+
+ for (int n=0; n<(int)ps.size(); ++n) {
+ assert (ps.at(n) == n);
+ }
+ }
+
+
+
+ static void MakeMultigridBoxes (const cGH* cgh,
+ ibbox const & base,
+ ibbox const & bb,
+ bbvect const & ob,
+ vector<ibbox>& bbs)
+ {
+ bbs.resize (mglevels);
+ bbs.at(0) = bb;
+ // boundary offsets
+ jjvect nboundaryzones, is_internal, is_staggered, shiftout;
+ const int ierr = GetBoundarySpecification
+ (2*dim, &nboundaryzones[0][0], &is_internal[0][0],
+ &is_staggered[0][0], &shiftout[0][0]);
+ assert (!ierr);
+ // (distance in grid points between the exterior and the physical boundary)
+ iivect offset;
+ for (int d=0; d<dim; ++d) {
+ for (int f=0; f<2; ++f) {
+ assert (! is_staggered[d][f]);
+ offset[d][f] = (+ (is_internal[d][f] ? 0 : nboundaryzones[d][f] - 1)
+ + shiftout[d][f]);
+ }
+ }
+ vector<ibbox> bases(mglevels);
+ bases.at(0) = base;
+ for (int ml=1; ml<mglevels; ++ml) {
+ // next finer base
+ ivect const fbaselo = bases.at(ml-1).lower();
+ ivect const fbasehi = bases.at(ml-1).upper();
+ ivect const fbasestr = bases.at(ml-1).stride();
+ // this base
+ ivect const basestr = fbasestr * mgfact;
+ ivect const baselo = fbaselo + (xpose(offset)[0] - ivect(mgfact) * xpose(offset)[0]) * fbasestr;
+ ivect const basehi = fbasehi + (xpose(offset)[1] - ivect(mgfact) * xpose(offset)[1]) * fbasestr;
+ ivect const baselo1 = baselo;
+ ivect const basehi1 = baselo1 + (basehi - baselo1) / basestr * basestr;
+ bases.at(ml) = ibbox(baselo1, basehi1, basestr);
+ // next finer grid
+ ivect const flo = bbs.at(ml-1).lower();
+ ivect const fhi = bbs.at(ml-1).upper();
+ ivect const fstr = bbs.at(ml-1).stride();
+ // this grid
+ ivect const str = fstr * mgfact;
+ ivect const lo = flo + xpose(ob)[0].ifthen ( (xpose(offset)[0] - ivect(mgfact) * xpose(offset)[0]) * fstr, ivect(0));
+ ivect const hi = fhi + xpose(ob)[1].ifthen (- (xpose(offset)[1] - ivect(mgfact) * xpose(offset)[1]) * fstr, ivect(0));
+ ivect const lo1 = baselo1 + (lo - baselo1 + str - 1) / str * str;
+ ivect const hi1 = lo1 + (hi - lo1) / str * str;
+ bbs.at(ml) = ibbox(lo1, hi1, str);
+ }
+ }
+
+ void MakeMultigridBoxes (const cGH* cgh,
+ vector<ibbox> const & bbs,
+ vector<bbvect> const & obs,
+ vector<vector<ibbox> >& bbss)
+ {
+ assert (bbs.size() == obs.size());
+ ibbox base;
+ for (int c=0; c<(int)bbs.size(); ++c) {
+ base = base.expanded_containing(bbs.at(c));
+ }
+ bbss.resize(bbs.size());
+ for (int c=0; c<(int)bbs.size(); ++c) {
+ MakeMultigridBoxes (cgh, base, bbs.at(c), obs.at(c), bbss.at(c));
+ }
+ }
+
+} // namespace Carpet
diff --git a/Carpet/Carpet/src/Restrict.cc b/Carpet/Carpet/src/Restrict.cc
new file mode 100644
index 000000000..c44540dba
--- /dev/null
+++ b/Carpet/Carpet/src/Restrict.cc
@@ -0,0 +1,106 @@
+#include <assert.h>
+#include <math.h>
+#include <stdlib.h>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "ggf.hh"
+#include "gh.hh"
+
+#include "carpet.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/Restrict.cc,v 1.27 2004/05/21 18:16:23 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_Carpet_Restrict_cc);
+}
+
+
+
+namespace Carpet {
+
+ using namespace std;
+
+
+
+ void Restrict (const cGH* cgh)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ assert (is_level_mode());
+
+ if (suppress_restriction) {
+ Checkpoint ("Restriction suppressed");
+ return;
+ }
+
+ Checkpoint ("Restrict");
+
+ // Restrict
+ if (reflevel < reflevels-1) {
+ for (comm_state<dim> state; !state.done(); state.step()) {
+ for (int group=0; group<CCTK_NumGroups(); ++group) {
+ if (CCTK_GroupTypeI(group) == CCTK_GF) {
+ if (CCTK_QueryGroupStorageI(cgh, group)) {
+
+ const int tl = 0;
+
+ for (int m=0; m<(int)arrdata.at(group).size(); ++m) {
+ assert (m<(int)arrdata.at(group).size());
+
+ // use background time here (which may not be modified
+ // by the user)
+ const CCTK_REAL time = vtt.at(m)->time (tl, reflevel, mglevel);
+
+ const CCTK_REAL time1 = vtt.at(m)->time (0, reflevel, mglevel);
+ const CCTK_REAL time2
+ = (cgh->cctk_time - cctk_initial_time) / delta_time;
+ assert (fabs(time1 - time2) / (fabs(time1) + fabs(time2) + fabs(cgh->cctk_delta_time)) < 1e-12);
+
+ for (int var=0; var<CCTK_NumVarsInGroupI(group); ++var) {
+ assert (var<(int)arrdata.at(group).at(m).data.size());
+ for (int c=0; c<vhh.at(m)->components(reflevel); ++c) {
+ arrdata.at(group).at(m).data.at(var)->ref_restrict
+ (state, tl, reflevel, c, mglevel, time);
+ }
+ }
+ }
+
+ } // if group has storage
+ } // if grouptype == CCTK_GF
+ } // loop over groups
+ } // for state
+ } // if not finest refinement level
+
+
+
+ // Sync
+ if (reflevel < reflevels-1) {
+ for (comm_state<dim> state; !state.done(); state.step()) {
+ for (int group=0; group<CCTK_NumGroups(); ++group) {
+ if (CCTK_GroupTypeI(group) == CCTK_GF) {
+ if (CCTK_QueryGroupStorageI(cgh, group)) {
+
+ const int tl = 0;
+
+ for (int m=0; m<(int)arrdata.at(group).size(); ++m) {
+ assert (m<(int)arrdata.at(group).size());
+ for (int var=0; var<CCTK_NumVarsInGroupI(group); ++var) {
+ assert (var<(int)arrdata.at(group).at(m).data.size());
+ for (int c=0; c<vhh.at(m)->components(reflevel); ++c) {
+ arrdata.at(group).at(m).data.at(var)->sync
+ (state, tl, reflevel, c, mglevel);
+ }
+ }
+ }
+
+ } // if group has storage
+ } // if grouptype == CCTK_GF
+ } // loop over groups
+ } // for state
+ } // if not finest refinement level
+
+ }
+
+} // namespace Carpet
+
diff --git a/Carpet/Carpet/src/SetupGH.cc b/Carpet/Carpet/src/SetupGH.cc
new file mode 100644
index 000000000..d19ab3dc3
--- /dev/null
+++ b/Carpet/Carpet/src/SetupGH.cc
@@ -0,0 +1,960 @@
+#include <assert.h>
+#include <limits.h>
+#include <math.h>
+#include <stdlib.h>
+#include <string.h>
+
+#include <iostream>
+#include <sstream>
+#include <vector>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "util_ErrorCodes.h"
+#include "util_Table.h"
+
+#include "bbox.hh"
+#include "defs.hh"
+#include "dist.hh"
+#include "ggf.hh"
+#include "gh.hh"
+#include "vect.hh"
+
+#include "carpet.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/SetupGH.cc,v 1.85 2004/08/07 20:07:27 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_Carpet_SetupGH_cc);
+}
+
+
+
+namespace Carpet {
+
+ using namespace std;
+
+
+
+ static bool CanTransferVariableType (const cGH * const cgh, const int group)
+ {
+ // Find out which types correspond to the default types
+#if CCTK_INTEGER_PRECISION_1
+# define CCTK_DEFAULT_INTEGER_TYPE CCTK_VARIABLE_INT1
+#elif CCTK_INTEGER_PRECISION_2
+# define CCTK_DEFAULT_INTEGER_TYPE CCTK_VARIABLE_INT2
+#elif CCTK_INTEGER_PRECISION_4
+# define CCTK_DEFAULT_INTEGER_TYPE CCTK_VARIABLE_INT4
+#elif CCTK_INTEGER_PRECISION_8
+# define CCTK_DEFAULT_INTEGER_TYPE CCTK_VARIABLE_INT8
+#else
+# error "Unsupported default integer type"
+#endif
+
+#if CCTK_REAL_PRECISION_4
+# define CCTK_DEFAULT_REAL_TYPE CCTK_VARIABLE_REAL4
+# define CCTK_DEFAULT_COMPLEX_TYPE CCTK_VARIABLE_COMPLEX8
+#elif CCTK_REAL_PRECISION_8
+# define CCTK_DEFAULT_REAL_TYPE CCTK_VARIABLE_REAL8
+# define CCTK_DEFAULT_COMPLEX_TYPE CCTK_VARIABLE_COMPLEX16
+#elif CCTK_REAL_PRECISION_16
+# define CCTK_DEFAULT_REAL_TYPE CCTK_VARIABLE_REAL16
+# define CCTK_DEFAULT_COMPLEX_TYPE CCTK_VARIABLE_COMPLEX32
+#else
+# error "Unsupported default real type"
+#endif
+
+ if (CCTK_NumVarsInGroupI(group) == 0) return true;
+
+ const int var0 = CCTK_FirstVarIndexI(group);
+ const int type0 = CCTK_VarTypeI(var0);
+ int type1;
+ switch (type0) {
+ case CCTK_VARIABLE_INT:
+ type1 = CCTK_DEFAULT_INTEGER_TYPE;
+ break;
+ case CCTK_VARIABLE_REAL:
+ type1 = CCTK_DEFAULT_REAL_TYPE;
+ break;
+ case CCTK_VARIABLE_COMPLEX:
+ type1 = CCTK_DEFAULT_COMPLEX_TYPE;
+ break;
+ default:
+ type1 = type0;
+ }
+ switch (type1) {
+
+#ifdef CCTK_REAL8
+ case CCTK_VARIABLE_REAL8:
+ // This type is supported.
+ return true;
+#endif
+
+#ifdef CCTK_REAL4
+ case CCTK_VARIABLE_REAL4:
+#endif
+#ifdef CCTK_REAL16
+ case CCTK_VARIABLE_REAL16:
+#endif
+#ifdef CCTK_REAL4 /* CCTK_COMPLEX8 */
+ case CCTK_VARIABLE_COMPLEX8:
+#endif
+#ifdef CCTK_REAL8 /* CCTK_COMPLEX16 */
+ case CCTK_VARIABLE_COMPLEX16:
+#endif
+#ifdef CCTK_REAL16 /* CCTK_COMPLEX32 */
+ case CCTK_VARIABLE_COMPLEX32:
+#endif
+ // This type is not supported, but could be.
+ return false;
+
+ case CCTK_VARIABLE_BYTE:
+#ifdef CCTK_INT1
+ case CCTK_VARIABLE_INT1:
+#endif
+#ifdef CCTK_INT2
+ case CCTK_VARIABLE_INT2:
+#endif
+#ifdef CCTK_INT4
+ case CCTK_VARIABLE_INT4:
+#endif
+#ifdef CCTK_INT8
+ case CCTK_VARIABLE_INT8:
+#endif
+ // This type is not supported, and cannot be.
+ return false;
+
+ default:
+ {
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Internal error: encountered variable type %d (%s) for group %d (%s)",
+ type1, CCTK_VarTypeName(type1),
+ group, CCTK_GroupName(group));
+ }
+ }
+
+ // not reached
+ return false;
+ }
+
+
+
+ static operator_type GetTransportOperator (const cGH * const cgh,
+ const int group)
+ {
+ assert (group>=0 && group<CCTK_NumGroups());
+
+ int ierr;
+
+ if (CCTK_GroupTypeI(group) != CCTK_GF) {
+ // Ignore everything but true grid functions
+ return op_error;
+ }
+
+ const bool can_transfer = CanTransferVariableType (cgh, group);
+
+ cGroup gp;
+ ierr = CCTK_GroupData (group, &gp);
+ assert (!ierr);
+
+ // Get prolongation method
+ char prolong_string[1000];
+ bool have_prolong_string = false;
+ {
+ const int prolong_length = Util_TableGetString
+ (gp.tagstable, sizeof prolong_string, prolong_string, "Prolongation");
+ if (prolong_length >= 0) {
+ have_prolong_string = true;
+ } else if (prolong_length == UTIL_ERROR_TABLE_NO_SUCH_KEY) {
+ // do nothing
+ } else {
+ assert (0);
+ }
+ }
+
+ // Get prolongation parameter name
+ char prolong_param_string[1000];
+ bool have_prolong_param_string = false;
+ {
+ const int prolong_param_length = Util_TableGetString
+ (gp.tagstable, sizeof prolong_param_string, prolong_param_string,
+ "ProlongationParameter");
+ if (prolong_param_length >= 0) {
+ have_prolong_param_string = true;
+ } else if (prolong_param_length == UTIL_ERROR_TABLE_NO_SUCH_KEY) {
+ // do nothing
+ } else {
+ assert (0);
+ }
+ }
+
+ // Complain if both are given
+ if (have_prolong_string && have_prolong_param_string) {
+ char * const groupname = CCTK_GroupName (group);
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Group \"%s\" has both the tags \"Prolongation\" and \"ProlongationParameter\". This is not possible.",
+ groupname);
+ free (groupname);
+ }
+
+ // Map the parameter name
+ if (have_prolong_param_string) {
+ char * thorn;
+ char * name;
+ ierr = CCTK_DecomposeName (prolong_param_string, &thorn, &name);
+ if (ierr < 0) {
+ char * const groupname = CCTK_GroupName (group);
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Group \"%s\" has the \"ProlongationParameter\" tag \"%s\". This is not a valid parameter name.",
+ groupname, prolong_param_string);
+ free (groupname);
+ }
+ int type;
+ char const * const * const value
+ = (static_cast<char const * const *>
+ (CCTK_ParameterGet (name, thorn, &type)));
+ if (! value || ! *value) {
+ char * const groupname = CCTK_GroupName (group);
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Group \"%s\" has the \"ProlongationParameter\" tag \"%s\". This parameter does not exist.",
+ groupname, prolong_param_string);
+ free (groupname);
+ }
+ if (type != PARAMETER_KEYWORD && type != PARAMETER_STRING) {
+ char * const groupname = CCTK_GroupName (group);
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Group \"%s\" has the \"ProlongationParameter\" tag \"%s\". This parameter has the wrong type; it must be either KEYWORD or STRING.",
+ groupname, prolong_param_string);
+ free (groupname);
+ }
+ free (thorn);
+ free (name);
+ assert (strlen(*value) < sizeof prolong_string);
+ strcpy (prolong_string, *value);
+ have_prolong_string = true;
+ }
+
+ // Select a default, if necessary
+ if (! have_prolong_string) {
+ if (can_transfer) {
+ // Use the default
+ if (gp.numtimelevels == 1) {
+ // Only one time level: do not prolongate
+ char * const groupname = CCTK_GroupName (group);
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Group \"%s\" has only one time level; therefore it will not be prolongated or restricted.",
+ groupname);
+ free (groupname);
+ return op_none;
+ } else {
+ // Several time levels: use the default
+ return op_Lagrange;
+ }
+ } else {
+ if (gp.grouptype == CCTK_GF) {
+ char * const groupname = CCTK_GroupName (group);
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Group \"%s\" has the variable type \"%s\" which cannot be prolongated or restricted.",
+ groupname, CCTK_VarTypeName(gp.vartype));
+ free (groupname);
+ return op_none;
+ } else {
+ return op_error;
+ }
+ }
+ }
+
+ // Select the prolongation method
+ assert (have_prolong_string);
+ if (CCTK_Equals(prolong_string, "none")) {
+ return op_none;
+ } else if (CCTK_Equals(prolong_string, "Lagrange")) {
+ return op_Lagrange;
+ } else if (CCTK_Equals(prolong_string, "TVD")) {
+ return op_TVD;
+ } else if (CCTK_Equals(prolong_string, "ENO")) {
+ return op_ENO;
+ } else {
+ char * const groupname = CCTK_GroupName (group);
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Group \"%s\" has the unknown prolongation method \"%s\".",
+ groupname, prolong_string);
+ free (groupname);
+ return op_error;
+ }
+ return op_error;
+ }
+
+
+
+ void* SetupGH (tFleshConfig* fc, int convLevel, cGH* cgh)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ int ierr;
+
+ assert (cgh->cctk_dim == dim);
+
+ // Not sure what to do with that
+ assert (convLevel==0);
+
+ dist::pseudoinit();
+
+ // Initialise current position
+ mglevel = -1;
+ reflevel = -1;
+ map = -1;
+ component = -1;
+
+
+
+ Waypoint ("Setting up the grid hierarchy");
+
+ // Processor information
+ Output ("Carpet is running on %d processors", CCTK_nProcs(cgh));
+
+ // Multigrid information
+ basemglevel = convergence_level;
+ mglevels = num_convergence_levels;
+ mgfact = convergence_factor;
+ maxmglevelfact = ipow(mgfact, mglevels-1);
+ cgh->cctk_convfac = mgfact;
+
+ // Refinement information
+ maxreflevels = max_refinement_levels;
+ reffact = refinement_factor;
+ maxreflevelfact = ipow(reffact, maxreflevels-1);
+
+ // Map information
+ carpetGH.maps = maps = num_maps;;
+
+
+
+ // Allocate space for groups
+ groupdata.resize(CCTK_NumGroups());
+ arrdata.resize(CCTK_NumGroups());
+
+ vhh.resize(maps);
+ vdd.resize(maps);
+ vtt.resize(maps);
+
+ // Loop over maps
+ for (int m=0; m<maps; ++m) {
+
+ // Get boundary description
+ jjvect nboundaryzones, is_internal, is_staggered, shiftout;
+ ierr = GetBoundarySpecification
+ (2*dim, &nboundaryzones[0][0], &is_internal[0][0],
+ &is_staggered[0][0], &shiftout[0][0]);
+ assert (!ierr);
+
+ {
+ ostringstream buf;
+ buf << "CoordBase boundary specification for map " << m << ":" << endl
+ << " nboundaryzones: " << nboundaryzones << endl
+ << " is_internal : " << is_internal << endl
+ << " is_staggered : " << is_staggered << endl
+ << " shiftout : " << shiftout;
+ Output (buf.str().c_str());
+ }
+
+ // Ghost zones
+ ivect lghosts, ughosts;
+ if (ghost_size == -1) {
+ lghosts = ivect(ghost_size_x, ghost_size_y, ghost_size_z);
+ ughosts = ivect(ghost_size_x, ghost_size_y, ghost_size_z);
+ } else {
+ lghosts = ivect(ghost_size, ghost_size, ghost_size);
+ ughosts = ivect(ghost_size, ghost_size, ghost_size);
+ }
+
+ // Grid size
+ rvect physical_min, physical_max;
+ rvect interior_min, interior_max;
+ rvect exterior_min, exterior_max;
+ rvect base_spacing;
+
+ if (domain_from_coordbase) {
+
+ ierr = GetDomainSpecification
+ (dim, &physical_min[0], &physical_max[0],
+ &interior_min[0], &interior_max[0],
+ &exterior_min[0], &exterior_max[0], &base_spacing[0]);
+ assert (!ierr);
+
+ } else {
+ // Legacy code
+
+ // specify global number of grid points
+ ivect npoints;
+ if (global_nsize == -1) {
+ npoints = ivect(global_nx, global_ny, global_nz);
+ } else {
+ npoints = ivect(global_nsize, global_nsize, global_nsize);
+ }
+ ostringstream buf;
+ buf << "Standard grid specification for map " << m << ":" << endl
+ << " number of grid points: " << npoints;
+ Output (buf.str().c_str());
+
+ // reduce to physical domain
+ exterior_min = 0.0;
+ exterior_max = rvect(npoints - 1);
+ base_spacing = 1.0;
+ ierr = ConvertFromExteriorBoundary
+ (dim, &physical_min[0], &physical_max[0],
+ &interior_min[0], &interior_max[0],
+ &exterior_min[0], &exterior_max[0], &base_spacing[0]);
+ assert (!ierr);
+
+ }
+
+ {
+ ostringstream buf;
+ buf << "CoordBase domain specification for map " << m << ":" << endl
+ << " physical extent: " << physical_min << " : " << physical_max << " (" << physical_max - physical_min << ")" << endl
+ << " interior extent: " << interior_min << " : " << interior_max << " (" << interior_max - interior_min << ")" << endl
+ << " exterior extent: " << exterior_min << " : " << exterior_max << " (" << exterior_max - exterior_min << ")" << endl
+ << " base_spacing : " << base_spacing;
+ Output (buf.str().c_str());
+ }
+
+ // Adapt for convergence level
+ rvect const spacing
+ = base_spacing * pow (CCTK_REAL(convergence_factor), basemglevel);
+
+ // Calculate global number of grid points
+ ierr = ConvertFromPhysicalBoundary
+ (dim, &physical_min[0], &physical_max[0],
+ &interior_min[0], &interior_max[0],
+ &exterior_min[0], &exterior_max[0], &spacing[0]);
+ assert (!ierr);
+
+ {
+ ostringstream buf;
+ buf << "Adapted domain specification for map " << m << ":" << endl
+ << " convergence factor: " << convergence_factor << endl
+ << " convergence level : " << basemglevel << endl
+ << " physical extent : " << physical_min << " : " << physical_max << " (" << physical_max - physical_min << ")" << endl
+ << " interior extent : " << interior_min << " : " << interior_max << " (" << interior_max - interior_min << ")" << endl
+ << " exterior extent : " << exterior_min << " : " << exterior_max << " (" << exterior_max - exterior_min << ")" << endl
+ << " spacing : " << spacing;
+ Output (buf.str().c_str());
+ }
+
+ rvect const real_npoints = (exterior_max - exterior_min) / spacing + 1;
+
+ {
+ ostringstream buf;
+ buf << "Base grid specification for map " << m << ":" << endl
+ << " number of grid points : " << real_npoints << endl
+ << " number of ghost points: " << lghosts;
+ Output (buf.str().c_str());
+ }
+
+ const ivect npoints = floor(real_npoints + 0.5);
+ if (any(abs(rvect(npoints) - real_npoints) > 0.001)) {
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "The domain size for map %d scaled for convergence level %d with convergence factor %d is not integer",
+ m, basemglevel, convergence_factor);
+ }
+
+ // Sanity check
+ // (if this fails, someone requested an insane amount of memory)
+ assert (all(npoints <= INT_MAX));
+ {
+ int max = INT_MAX;
+ for (int d=0; d<dim; ++d) {
+ assert (npoints[d] <= max);
+ max /= npoints[d];
+ }
+ }
+
+
+
+ // Base grid extent
+ const int stride = maxreflevelfact;
+ const ivect str(stride);
+ const ivect lb(0);
+ const ivect ub((npoints - 1) * str);
+ const ibbox baseext(lb, ub, str);
+
+ // Allocate grid hierarchy
+ vhh.at(m) = new gh<dim>(refinement_factor, vertex_centered,
+ convergence_factor, vertex_centered, baseext);
+
+ // Allocate data hierarchy
+ vdd.at(m) = new dh<dim>(*vhh.at(m), lghosts, ughosts,
+ prolongation_order_space, buffer_width);
+
+ // Allocate time hierarchy
+ vtt.at(m) = new th<dim>(*vhh.at(m), 1.0);
+
+ if (max_refinement_levels > 1) {
+ const int prolongation_stencil_size
+ = vdd.at(m)->prolongation_stencil_size();
+ const int min_nghosts
+ = ((prolongation_stencil_size + refinement_factor - 1)
+ / (refinement_factor-1));
+ if (any(min(lghosts,ughosts) < min_nghosts)) {
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "There are not enough ghost zones for the desired spatial prolongation order on map %d. With Carpet::prolongation_order_space=%d, you need at least %d ghost zones.",
+ m, prolongation_order_space, min_nghosts);
+ }
+
+ }
+
+
+
+ // Set initial refinement structure
+
+ vector<ibbox> bbs;
+ vector<bbvect> obs;
+ if (strcmp(base_extents, "") == 0) {
+
+ // default: one grid component covering everything
+ bbs.push_back (vhh.at(m)->baseextent);
+ obs.push_back (bbvect(true));
+
+ } else {
+
+ // explicit grid components
+ // TODO: invent something for the other convergence levels
+ istringstream ext_str(base_extents);
+ try {
+ ext_str >> bbs;
+ } catch (input_error) {
+ CCTK_WARN (0, "Could not parse parameter \"base_extents\"");
+ }
+ CCTK_VInfo (CCTK_THORNSTRING, "Using %d grid patches", bbs.size());
+ cout << "grid-patches-are " << bbs << endl;
+ if (bbs.size()<=0) {
+ CCTK_WARN (0, "Cannot evolve with 0 grid patches");
+ }
+ istringstream ob_str (base_outerbounds);
+ try {
+ ob_str >> obs;
+ } catch (input_error) {
+ CCTK_WARN (0, "Could not parse parameter \"base_outerbounds\"");
+ }
+ assert (obs.size() == bbs.size());
+
+ }
+
+ // Distribute onto the processors
+ // (TODO: this should be done globally for all maps)
+ vector<int> ps;
+ SplitRegions (cgh, bbs, obs, ps);
+
+ // Create all multigrid levels
+ vector<vector<ibbox> > bbss;
+ MakeMultigridBoxes (cgh, bbs, obs, bbss);
+
+ // Only one refinement level
+ vector<vector<vector<ibbox> > > bbsss(1);
+ vector<vector<bbvect> > obss(1);
+ vector<vector<int> > pss(1);
+ bbsss.at(0) = bbss;
+ obss.at(0) = obs;
+ pss.at(0) = ps;
+
+ // Check the regions
+ CheckRegions (bbsss, obss, pss);
+
+#if 0
+ // Do this later, because CactusBase/IO might not yet be initialised
+ // Write grid structure to file
+ OutputGridStructure (cgh, m, bbsss, obss, pss);
+#endif
+
+ // Recompose grid hierarchy
+ vhh.at(m)->recompose (bbsss, obss, pss, false);
+
+ CCTK_INFO ("Grid structure (grid points):");
+ const int rl = 0;
+ for (int c=0; c<vhh.at(m)->components(rl); ++c) {
+ for (int ml=0; ml<vhh.at(m)->mglevels(rl,c); ++ml) {
+ const ivect lower = vhh.at(m)->extents.at(rl).at(c).at(ml).lower();
+ const ivect upper = vhh.at(m)->extents.at(rl).at(c).at(ml).upper();
+ const int convfact = ipow(mgfact, ml);
+ assert (all(lower % maxreflevelfact == 0));
+ assert (all(upper % maxreflevelfact == 0));
+ assert (all(((upper - lower) / maxreflevelfact) % convfact == 0));
+ cout << " [" << ml << "][" << rl << "][" << m << "][" << c << "]"
+ << " exterior extent: " << lower / maxreflevelfact
+ << " : " << upper / maxreflevelfact
+ << " (" << (upper - lower) / maxreflevelfact / convfact + 1
+ << ")" << endl;
+ }
+ }
+
+ } // loop over maps
+
+ reflevels = 1;
+ for (int m=0; m<maps; ++m) {
+ assert (vhh.at(m)->reflevels() == reflevels);
+ }
+
+
+
+ // Allocate space for variables in group (but don't enable storage
+ // yet)
+ for (int group=0; group<CCTK_NumGroups(); ++group) {
+
+ cGroup gp;
+ ierr = CCTK_GroupData (group, &gp);
+ assert (!ierr);
+
+ switch (gp.grouptype) {
+
+ case CCTK_GF: {
+ assert (gp.dim == dim);
+ arrdata.at(group).resize(maps);
+ for (int m=0; m<maps; ++m) {
+ arrdata.at(group).at(m).hh = vhh.at(m);
+ arrdata.at(group).at(m).dd = vdd.at(m);
+ arrdata.at(group).at(m).tt = vtt.at(m);
+ }
+ break;
+ }
+
+ case CCTK_SCALAR:
+ case CCTK_ARRAY: {
+
+ arrdata.at(group).resize(1);
+
+ ivect sizes(1), ghostsizes(0);
+
+ switch (gp.grouptype) {
+
+ case CCTK_SCALAR:
+ // treat scalars as DIM=0, DISTRIB=const arrays
+ assert (gp.dim==0);
+ assert (gp.disttype == CCTK_DISTRIB_CONSTANT);
+ break;
+
+ case CCTK_ARRAY: {
+ assert (gp.dim>=1 || gp.dim<=dim);
+ const CCTK_INT * const * const sz = CCTK_GroupSizesI(group);
+ const CCTK_INT * const * const gsz = CCTK_GroupGhostsizesI(group);
+ for (int d=0; d<gp.dim; ++d) {
+ if (sz) sizes[d] = *sz[d];
+ if (gsz) ghostsizes[d] = *gsz[d];
+ }
+ break;
+ }
+
+ default:
+ assert (0);
+ }
+
+ ivect alghosts(0), aughosts(0);
+ for (int d=0; d<gp.dim; ++d) {
+ alghosts[d] = ghostsizes[d];
+ aughosts[d] = ghostsizes[d];
+ }
+
+
+
+ // Adapt array sizes for convergence level
+ jvect convpowers (0);
+ jvect convoffsets (0);
+
+ if (gp.tagstable >= 0) {
+ int status;
+
+ status = Util_TableGetIntArray
+ (gp.tagstable, gp.dim, &convpowers[0], "convergence_power");
+ if (status == UTIL_ERROR_TABLE_NO_SUCH_KEY) {
+ // keep default: independent of convergence level
+ } else if (status == 1) {
+ // a scalar was given
+ convpowers = convpowers[0];
+ } else if (status == gp.dim) {
+ // do nothing
+ } else {
+ char * const groupname = CCTK_GroupName(group);
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "The key \"convergence_power\" in the tags table of group \"%s\" is wrong",
+ groupname);
+ free (groupname);
+ }
+ assert (all (convpowers >= 0));
+
+ status = Util_TableGetIntArray
+ (gp.tagstable, gp.dim, &convoffsets[0], "convergence_offset");
+ if (status == UTIL_ERROR_TABLE_NO_SUCH_KEY) {
+ // keep default: offset is 0
+ } else if (status == 1) {
+ // a scalar was given
+ convoffsets = convoffsets[0];
+ } else if (status == gp.dim) {
+ // do nothing
+ } else {
+ char * const groupname = CCTK_GroupName(group);
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "The key \"convergence_offset\" in the tags table of group \"%s\" is wrong",
+ groupname);
+ free (groupname);
+ }
+
+ } // if there is a group tags table
+
+ rvect real_sizes
+ = ((sizes - convoffsets)
+ / pow(rvect(convergence_factor), convpowers * basemglevel)
+ + convoffsets);
+ for (int d=gp.dim; d<dim; ++d) {
+ real_sizes[d] = sizes[d];
+ }
+ sizes = floor(real_sizes + 0.5);
+ if (any(sizes < 0)) {
+ char * const groupname = CCTK_GroupName(group);
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "The shape of group \"%s\" scaled for convergence level %d with convergence factor %d is negative",
+ groupname, basemglevel, convergence_factor);
+ free (groupname);
+ }
+ if (any(abs(rvect(sizes) - real_sizes) > 0.001)) {
+ char * const groupname = CCTK_GroupName(group);
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "The shape of group \"%s\" scaled for convergence level %d with convergence factor %d is not integer",
+ groupname, basemglevel, convergence_factor);
+ free (groupname);
+ }
+
+
+
+ assert (gp.disttype==CCTK_DISTRIB_CONSTANT
+ || gp.disttype==CCTK_DISTRIB_DEFAULT);
+
+ if (gp.disttype==CCTK_DISTRIB_CONSTANT) {
+ if (! all (ghostsizes == 0)) {
+ char * const groupname = CCTK_GroupName(group);
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "The group \"%s\" has DISTRIB=constant, but its ghostsize is not 0",
+ groupname);
+ free (groupname);
+ }
+ assert (all (ghostsizes == 0));
+ const int d = gp.dim==0 ? 0 : gp.dim-1;
+ sizes[d] = (sizes[d] - 2*ghostsizes[d]) * CCTK_nProcs(cgh) + 2*ghostsizes[d];
+ assert (sizes[d] >= 0);
+ }
+
+
+
+ const ivect alb(0);
+ const ivect aub(sizes-1);
+ const ivect astr(1);
+ const ibbox abaseext(alb, aub, astr);
+
+ assert (all(convpowers == convpowers[0]));
+ const int amgfact1 = ipow(mgfact, convpowers[0]);
+
+ arrdata.at(group).at(0).hh
+ = new gh<dim>(refinement_factor, vertex_centered,
+ amgfact1, vertex_centered,
+ abaseext);
+
+ arrdata.at(group).at(0).dd
+ = new dh<dim>(*arrdata.at(group).at(0).hh, alghosts, aughosts, 0, 0);
+
+ arrdata.at(group).at(0).tt
+ = new th<dim>(*arrdata.at(group).at(0).hh, 1.0);
+
+
+
+ // Set refinement structure for scalars and arrays
+ vector<ibbox> bbs;
+ vector<bbvect> obs;
+ bbs.push_back (abaseext);
+ obs.push_back (bbvect(true));
+
+ // Split it into components, one for each processor
+ vector<int> ps;
+ if (gp.disttype==CCTK_DISTRIB_CONSTANT) {
+ SplitRegions_AlongDir (cgh, bbs, obs, ps, gp.dim==0 ? 0 : gp.dim-1);
+ } else {
+ SplitRegions_Automatic (cgh, bbs, obs, ps);
+ }
+
+ // Create all multigrid levels
+ vector<vector<ibbox> > bbss (bbs.size());
+ ivect amgfact;
+ iivect aoffset;
+ for (int d=0; d<dim; ++d) {
+ amgfact[d] = ipow(mgfact, convpowers[d]);
+ aoffset[d][0] = 0;
+ aoffset[d][1] = convoffsets[d];
+ }
+ for (size_t c=0; c<bbs.size(); ++c) {
+ bbss.at(c).resize (mglevels);
+ bbss.at(c).at(0) = bbs.at(c);
+ for (int ml=1; ml<mglevels; ++ml) {
+ // this base
+ ivect const baselo = ivect(0);
+ ivect const baselo1 = baselo;
+ // next finer grid
+ ivect const flo = bbss.at(c).at(ml-1).lower();
+ ivect const fhi = bbss.at(c).at(ml-1).upper();
+ ivect const fstr = bbss.at(c).at(ml-1).stride();
+ // this grid
+ ivect const str = fstr * amgfact;
+ ivect const lo = flo + xpose(obs.at(c))[0].ifthen ( (xpose(aoffset)[0] - amgfact * xpose(aoffset)[0]) * fstr, ivect(0));
+ ivect const hi = fhi + xpose(obs.at(c))[1].ifthen ( - (xpose(aoffset)[1] - amgfact * xpose(aoffset)[1]) * fstr, ivect(0));
+ ivect const lo1 = baselo1 + (lo - baselo1 + str - 1) / str * str;
+ ivect const hi1 = lo1 + (hi - lo1) / str * str;
+ bbss.at(c).at(ml) = ibbox(lo1, hi1, str);
+ }
+ }
+
+ // Only one refinement level
+ vector<vector<vector<ibbox> > > bbsss(1);
+ vector<vector<bbvect> > obss(1);
+ vector<vector<int> > pss(1);
+ bbsss.at(0) = bbss;
+ obss.at(0) = obs;
+ pss.at(0) = ps;
+
+ // Recompose for this map
+ char * const groupname = CCTK_GroupName (group);
+ assert (groupname);
+ Checkpoint ("Recomposing grid array group \"%s\"", groupname);
+ free (groupname);
+ arrdata.at(group).at(0).hh->recompose (bbsss, obss, pss, false);
+
+ break;
+ } // case of scalar or array
+
+ default:
+ assert (0);
+ } // switch on group type
+
+ // Initialise group information
+ groupdata.at(group).info.dim = gp.dim;
+ groupdata.at(group).info.gsh = new int [dim];
+ groupdata.at(group).info.lsh = new int [dim];
+ groupdata.at(group).info.lbnd = new int [dim];
+ groupdata.at(group).info.ubnd = new int [dim];
+ groupdata.at(group).info.bbox = new int [2*dim];
+ groupdata.at(group).info.nghostzones = new int [dim];
+
+ groupdata.at(group).transport_operator = GetTransportOperator (cgh, group);
+
+ // Initialise group variables
+ for (int m=0; m<(int)arrdata.at(group).size(); ++m) {
+
+ arrdata.at(group).at(m).data.resize(CCTK_NumVarsInGroupI(group));
+ for (int var=0; var<(int)arrdata.at(group).at(m).data.size(); ++var) {
+ arrdata.at(group).at(m).data.at(var) = 0;
+ }
+
+ }
+
+ } // for group
+
+
+
+ // Allocate level times
+ leveltimes.resize (mglevels);
+ for (int ml=0; ml<mglevels; ++ml) {
+ leveltimes.at(ml).resize (maxreflevels);
+ }
+ origin_space.resize (mglevels);
+
+ // Enable prolongating
+ do_prolongate = true;
+
+
+
+ // Finish initialisation
+ mglevelfact = 1;
+ cgh->cctk_time = 0;
+ cgh->cctk_delta_time = 1.0;
+ for (int d=0; d<dim; ++d) {
+ cgh->cctk_origin_space[d] = 0.0;
+ cgh->cctk_delta_space[d] = 1.0;
+ }
+
+ mglevel = 0;
+ reflevel = 0;
+ map = 0;
+ component = 0;
+
+ leave_local_mode (cgh);
+ leave_singlemap_mode (cgh);
+ leave_level_mode (cgh);
+ leave_global_mode (cgh);
+
+
+
+ // Some statistics
+ if (verbose || veryverbose) {
+
+ int num_gf_groups = 0;
+ int num_gf_vars = 0;
+ vector<int> num_array_groups(dim+1), num_array_vars(dim+1);
+ for (int d=0; d<=dim; ++d) {
+ num_array_groups.at(d) = 0;
+ num_array_vars.at(d) = 0;
+ }
+
+ for (int group=0; group<CCTK_NumGroups(); ++group) {
+
+ cGroup data;
+ ierr = CCTK_GroupData (group, &data);
+ assert (!ierr);
+
+ switch (data.grouptype) {
+ case CCTK_GF:
+ num_gf_groups += 1;
+ num_gf_vars += data.numvars * data.numtimelevels;
+ break;
+ case CCTK_SCALAR:
+ case CCTK_ARRAY:
+ assert (data.dim<=dim);
+ num_array_groups.at(data.dim) += 1;
+ num_array_vars.at(data.dim) += data.numvars * data.numtimelevels;
+ break;
+ default:
+ assert (0);
+ }
+ }
+ CCTK_INFO ("Group and variable statistics:");
+ CCTK_VInfo (CCTK_THORNSTRING,
+ " There are %d grid functions in %d groups",
+ num_gf_vars, num_gf_groups);
+ CCTK_VInfo (CCTK_THORNSTRING,
+ " There are %d grid scalars in %d groups",
+ num_array_vars.at(0), num_array_groups.at(0));
+ for (int d=1; d<=3; ++d) {
+ CCTK_VInfo (CCTK_THORNSTRING,
+ " There are %d %d-dimensional grid arrays in %d groups",
+ num_array_vars.at(d), d, num_array_groups.at(d));
+ }
+ CCTK_VInfo (CCTK_THORNSTRING,
+ " (The number of variables counts all time levels)");
+ }
+
+
+
+ // Enable storage for all groups if desired
+ if (enable_all_storage) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ BEGIN_REFLEVEL_LOOP(cgh) {
+ for (int group=0; group<CCTK_NumGroups(); ++group) {
+ char * const groupname = CCTK_GroupName(group);
+ EnableGroupStorage (cgh, groupname);
+ free (groupname);
+ }
+ } END_REFLEVEL_LOOP;
+ } END_MGLEVEL_LOOP;
+ }
+
+ Waypoint ("Done with setting up the grid hierarchy");
+
+ return &carpetGH;
+ }
+
+} // namespace Carpet
diff --git a/Carpet/Carpet/src/Shutdown.cc b/Carpet/Carpet/src/Shutdown.cc
new file mode 100644
index 000000000..b4d79ac2d
--- /dev/null
+++ b/Carpet/Carpet/src/Shutdown.cc
@@ -0,0 +1,74 @@
+#include <assert.h>
+#include <stdio.h>
+#include <stdlib.h>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "dist.hh"
+
+#include "carpet.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/Shutdown.cc,v 1.13 2004/01/25 14:57:27 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_Carpet_Shutdown_cc);
+}
+
+
+
+namespace Carpet {
+
+ using namespace std;
+
+
+
+ int Shutdown (tFleshConfig* fc)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ Waypoint ("Starting shutdown");
+
+ const int convlev = 0;
+ cGH* cgh = fc->GH[convlev];
+
+ for (int rl=reflevels-1; rl>=0; --rl) {
+ BEGIN_REVERSE_MGLEVEL_LOOP(cgh) {
+ enter_level_mode (cgh, rl);
+ do_global_mode = reflevel==0;
+ do_meta_mode = do_global_mode && mglevel==mglevels-1;
+
+ Checkpoint ("Shutdown at iteration %d time %g%s%s",
+ cgh->cctk_iteration, (double)cgh->cctk_time,
+ (do_global_mode ? " (global)" : ""),
+ (do_meta_mode ? " (meta)" : ""));
+
+ // Terminate
+ Checkpoint ("Scheduling TERMINATE");
+ CCTK_ScheduleTraverse ("CCTK_TERMINATE", cgh, CallFunction);
+
+ leave_level_mode (cgh);
+ } END_REVERSE_MGLEVEL_LOOP;
+ } // for rl
+
+ BEGIN_REVERSE_MGLEVEL_LOOP(cgh) {
+ do_global_mode = true;
+ do_meta_mode = mglevel==mglevels-1;
+
+ // Shutdown
+ Checkpoint ("Scheduling SHUTDOWN");
+ CCTK_ScheduleTraverse ("CCTK_SHUTDOWN", cgh, CallFunction);
+
+ } END_REVERSE_MGLEVEL_LOOP;
+
+ CCTK_PRINTSEPARATOR;
+ printf ("Done.\n");
+
+ // earlier checkpoint before finalising MPI
+ Waypoint ("Done with shutdown");
+
+ dist::finalize();
+
+ return 0;
+ }
+
+} // namespace Carpet
diff --git a/Carpet/Carpet/src/Storage.cc b/Carpet/Carpet/src/Storage.cc
new file mode 100644
index 000000000..16847f077
--- /dev/null
+++ b/Carpet/Carpet/src/Storage.cc
@@ -0,0 +1,251 @@
+#include <assert.h>
+#include <stdlib.h>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "dh.hh"
+#include "gf.hh"
+
+#include "carpet.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/Storage.cc,v 1.36 2004/06/02 09:04:43 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_Carpet_Storage_cc);
+}
+
+
+
+namespace Carpet {
+
+ using namespace std;
+
+
+
+ int EnableGroupStorage (const cGH* cgh, const char* groupname)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ Checkpoint ("EnableGroupStorage \"%s\"", groupname);
+
+ // TODO: Enabling storage for one refinement level has to enable
+ // it for all other refinement levels as well. Disabling must
+ // wait until all refinement levels have been disabled.
+
+ const int group = CCTK_GroupIndex(groupname);
+ assert (group>=0 && group<CCTK_NumGroups());
+
+ if (CCTK_NumVarsInGroupI(group)==0) return 0;
+
+ const int grouptype = CCTK_GroupTypeI(group);
+
+ // No storage change in local mode
+ if (grouptype == CCTK_GF) {
+ assert ((map == -1 || maps == 1)
+ && (component == -1
+ || vhh.at(0)->local_components(reflevel) == 1));
+ }
+
+ if (CCTK_QueryGroupStorageI(cgh, group)) {
+ // storage was enabled previously
+ const int n0 = CCTK_FirstVarIndexI(group);
+ assert (n0>=0);
+ const int num_tl = CCTK_NumTimeLevelsFromVarI(n0);
+ assert (num_tl>0);
+ return num_tl;
+ }
+
+ // There is a difference between the Cactus time levels and the
+ // Carpet time levels. If there are n time levels, then the
+ // Cactus time levels are numbered 0 ... n-1, with the current
+ // time level being 0. In Carpet, the time levels are numbered
+ // -(n-1) ... 0, where the current time level is also 0.
+ const int n0 = CCTK_FirstVarIndexI(group);
+ assert (n0>=0);
+ const int num_tl = CCTK_NumTimeLevelsFromVarI(n0);
+ assert (num_tl>0);
+ const int tmin = 1 - num_tl;
+ const int tmax = 0;
+
+ if (grouptype == CCTK_GF) {
+ if (max_refinement_levels > 1) {
+ if (groupdata.at(group).transport_operator != op_none) {
+ if (num_tl <= prolongation_order_time) {
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "There are not enough time levels for the desired temporal prolongation order in the grid function group \"%s\". With Carpet::prolongation_order_time=%d, you need at least %d time levels.",
+ CCTK_GroupName(group),
+ prolongation_order_time, prolongation_order_time+1);
+ }
+ }
+ }
+ }
+
+ cGroup gp;
+ const int ierr = CCTK_GroupData (group, &gp);
+ assert (!ierr);
+ const int vectorlength = gp.vectorgroup ? gp.vectorlength : 1;
+
+ assert (arrdata.at(group).at(0).data.size()==0
+ || arrdata.at(group).at(0).data.at(0) == 0);
+ for (int m=0; m<(int)arrdata.at(group).size(); ++m) {
+ for (int var=0; var<CCTK_NumVarsInGroupI(group); ++var) {
+ const int vectorindex = gp.vectorgroup ? var % vectorlength : 0;
+ ggf<dim>* vectorleader
+ = (gp.vectorgroup && vectorindex>0
+ ? arrdata.at(group).at(m).data.at(var - vectorindex)
+ : NULL);
+ const int n = n0 + var;
+ switch (CCTK_VarTypeI(n)) {
+#define TYPECASE(N,T) \
+ case N: \
+ arrdata.at(group).at(m).data.at(var) = new gf<T,dim> \
+ (n, groupdata.at(group).transport_operator, \
+ *arrdata.at(group).at(m).tt, *arrdata.at(group).at(m).dd, \
+ tmin, tmax, prolongation_order_time, \
+ vectorlength, vectorindex, (gf<T,dim>*)vectorleader); \
+ break;
+#include "typecase"
+#undef TYPECASE
+ default:
+ UnsupportedVarType(n);
+ } // switch
+
+ if (grouptype != CCTK_GF) {
+ for (int tl=0; tl<num_tl; ++tl) {
+ assert (m == 0);
+ int const c = CCTK_MyProc(cgh);
+ cgh->data[n][tl] = ((*arrdata.at(group).at(m).data.at(var))
+ (-tl, 0, c, 0)->storage());
+ }
+ }
+
+ } // for
+ } // for
+
+// PoisonGroup (cgh, group, alltimes);
+
+ // storage was not enabled previously
+ return 0;
+ }
+
+
+
+ int DisableGroupStorage (const cGH* cgh, const char* groupname)
+ {
+ Checkpoint ("DisableGroupStorage \"%s\"", groupname);
+
+ const int group = CCTK_GroupIndex(groupname);
+ assert (group>=0 && group<CCTK_NumGroups());
+
+ // No storage change in local mode
+ assert (! (component!=-1 && CCTK_GroupTypeI(group)==CCTK_GF));
+
+ if (! CCTK_QueryGroupStorageI(cgh, group)) {
+ // storage was disabled previously
+ return 0;
+ }
+
+ // TODO
+ CCTK_WARN (2, "Cannot disable storage -- storage management is not yet consistent for FMR");
+ return 1;
+
+ const int n0 = CCTK_FirstVarIndexI(group);
+ assert (n0>=0);
+ const int num_tl = CCTK_NumTimeLevelsFromVarI(n0);
+ assert (num_tl>0);
+
+ for (int m=0; m<(int)arrdata.at(group).size(); ++m) {
+ for (int var=0; var<CCTK_NumVarsInGroupI(group); ++var) {
+ const int n = n0 + var;
+ switch (CCTK_VarTypeI(n)) {
+#define TYPECASE(N,T) \
+ case N: \
+ assert (arrdata.at(group).at(m).data.at(var)); \
+ delete (gf<T,dim>*)arrdata.at(group).at(m).data.at(var); \
+ arrdata.at(group).at(m).data.at(var) = NULL; \
+ break;
+#include "typecase"
+#undef TYPECASE
+ default:
+ UnsupportedVarType(n);
+ } // switch
+ arrdata.at(group).at(m).data.at(var) = NULL;
+
+ if (CCTK_GroupTypeI(group) != CCTK_GF) {
+ for (int tl=0; tl<num_tl; ++tl) {
+ cgh->data[n][tl] = NULL;
+ }
+ }
+
+ } // for
+ } // for
+
+ // storage was enabled previously
+ return 1;
+ }
+
+
+
+ int QueryGroupStorageB (const cGH* cgh, int group, const char* groupname)
+ {
+ if (groupname) {
+ group = CCTK_GroupIndex(groupname);
+ }
+ assert (group>=0 && group<CCTK_NumGroups());
+
+ if (CCTK_NumVarsInGroupI(group)==0) return 0;
+
+ const int n = CCTK_FirstVarIndexI(group);
+ assert (n>=0 && n<CCTK_NumVars());
+ const int var = 0;
+
+ return arrdata.at(group).at(0).data.at(var) != NULL;
+ }
+
+
+
+ const int* ArrayGroupSizeB (const cGH* cgh, int dir, int group,
+ const char* groupname)
+ {
+ static const int zero = 0;
+ static const int error = 0;
+
+ if (groupname) {
+ group = CCTK_GroupIndex(groupname);
+ }
+ assert (group>=0 && group<CCTK_NumGroups());
+
+ if (mglevel == -1) {
+ return &error; // meta mode
+ }
+
+ const int gptype = CCTK_GroupTypeI (group);
+ if (gptype == CCTK_GF && map == -1) {
+ return &error; // global or level mode for a GF
+ }
+
+ const int gpdim = groupdata.at(group).info.dim;
+ assert (dir>=0 && dir<gpdim);
+
+ if (CCTK_QueryGroupStorageI(cgh, group)) {
+
+ return &groupdata.at(group).info.lsh[dir];
+
+ } else {
+
+ // no storage
+ return &zero;
+
+ }
+ }
+
+
+
+ int GroupDynamicData (const cGH* cgh, int group, cGroupDynamicData* data)
+ {
+ assert (group>=0 && group<CCTK_NumGroups());
+ *data = groupdata.at(group).info;
+ return 0;
+ }
+
+} // namespace Carpet
diff --git a/Carpet/Carpet/src/carpet.hh b/Carpet/Carpet/src/carpet.hh
new file mode 100644
index 000000000..00f70396b
--- /dev/null
+++ b/Carpet/Carpet/src/carpet.hh
@@ -0,0 +1,70 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/carpet.hh,v 1.32 2004/08/19 15:38:20 schnetter Exp $
+
+#ifndef CARPET_HH
+#define CARPET_HH
+
+#include <vector>
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+
+#include "gh.hh"
+
+#include "carpet_public.hh"
+
+
+
+namespace Carpet {
+
+ using namespace std;
+
+ // Scheduled functions
+ extern "C" {
+ void CarpetParamCheck (CCTK_ARGUMENTS);
+ void CarpetStartup (void);
+ }
+
+ // Registered functions
+ void* SetupGH (tFleshConfig* fc, int convLevel, cGH* cgh);
+
+ int Initialise (tFleshConfig* config);
+ int Evolve (tFleshConfig* config);
+ int Shutdown (tFleshConfig* config);
+ int CallFunction (void* function, cFunctionData* attribute, void* data);
+
+ // Other functions
+ bool Regrid (const cGH* cgh, const bool force_recompose, const bool do_init);
+ void CycleTimeLevels (const cGH* cgh);
+ void FlipTimeLevels (const cGH* cgh);
+ void Restrict (const cGH* cgh);
+
+ // Sanity checks
+ enum checktimes { currenttime,
+ currenttimebutnotifonly,
+ previoustime,
+ allbutlasttime,
+ allbutcurrenttime,
+ alltimes };
+
+ int mintl (checktimes where, int num_tl);
+ int maxtl (checktimes where, int num_tl);
+
+ void Poison (const cGH* cgh, checktimes where);
+ void PoisonGroup (const cGH* cgh, int group, checktimes where);
+ void PoisonCheck (const cGH* cgh, checktimes where);
+
+ void CalculateChecksums (const cGH* cgh, checktimes where);
+ void CheckChecksums (const cGH* cgh, checktimes where);
+
+ // Debugging output
+ void Output (const char* fmt, ...);
+ void Waypoint (const char* fmt, ...);
+ void Checkpoint (const char* fmt, ...);
+
+ // Error output
+ void UnsupportedVarType (int vindex);
+
+} // namespace Carpet
+
+#endif // !defined(CARPET_HH)
diff --git a/Carpet/Carpet/src/carpet_public.h b/Carpet/Carpet/src/carpet_public.h
new file mode 100644
index 000000000..87c9130bc
--- /dev/null
+++ b/Carpet/Carpet/src/carpet_public.h
@@ -0,0 +1,113 @@
+/* $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/carpet_public.h,v 1.15 2004/06/16 16:36:02 schnetter Exp $ */
+
+#ifndef CARPET_PUBLIC_H
+#define CARPET_PUBLIC_H
+
+#include <mpi.h>
+
+#include "cctk.h"
+
+
+
+/* Tell thorns that the Carpet routines exist */
+#define HAVE_CARPET
+
+
+
+#ifdef __cplusplus
+namespace Carpet {
+ extern "C" {
+#endif
+
+ /* Carpet's GH extension */
+ struct CarpetGH {
+
+#if 0
+ /* Maximum number of refinement levels */
+ int maxreflevels;
+
+ /* Refinement levels */
+ int reflevels;
+
+ /* Refinement factor */
+ int reffact;
+
+ /* Refinement factor on finest possible grid */
+ int maxreflevelfact;
+
+ /* Base multigrid level */
+ int basemglevel;
+
+ /* Multigrid levels */
+ int mglevels;
+
+ /* Multigrid factor */
+ int mgfact;
+
+ /* Multigrid factor on coarsest grid */
+ int maxmglevelfact;
+#endif
+
+ /* Maps */
+ int maps;
+
+
+
+#if 0
+ /* Current position on the grid hierarchy */
+ int reflevel;
+ int mglevel;
+#endif
+ int map;
+#if 0
+ int component;
+
+ /* Current refinement factor */
+ int reflevelfact;
+
+ /* Current multigrid factor */
+ int mglevelfact;
+#endif
+
+ };
+
+ struct CarpetGH const * GetCarpetGH (const cGH * const cgh);
+
+
+
+ /* Prolongation management */
+ CCTK_INT CarpetEnableProlongating (const CCTK_INT flag);
+
+
+
+ /* Call a schedule group */
+ int CallScheduleGroup (cGH * const cgh, const char * const group);
+
+ /* Call a local function */
+ int CallLocalFunction (cGH * const cgh,
+ void (* const function) (cGH * const cgh));
+ int CallSinglemapFunction (cGH * const cgh,
+ void (* const function) (cGH * const cgh));
+ int CallLevelFunction (cGH * const cgh,
+ void (* const function) (cGH * const cgh));
+ int CallGlobalFunction (cGH * const cgh,
+ void (* const function) (cGH * const cgh));
+ int CallMetaFunction (cGH * const cgh,
+ void (* const function) (cGH * const cgh));
+
+
+
+ /* Helper functions */
+ MPI_Comm CarpetMPIComm (void);
+ MPI_Datatype CarpetMPIDatatype (int vartype);
+ MPI_Datatype CarpetSimpleMPIDatatype (int vartype);
+ int CarpetSimpleMPIDatatypeLength (int vartype);
+
+
+
+#ifdef __cplusplus
+ } /* extern "C" */
+} /* namespace Carpet */
+#endif
+
+#endif /* !defined(CARPET_PUBLIC_H) */
diff --git a/Carpet/Carpet/src/carpet_public.hh b/Carpet/Carpet/src/carpet_public.hh
new file mode 100644
index 000000000..fbe9d8c0f
--- /dev/null
+++ b/Carpet/Carpet/src/carpet_public.hh
@@ -0,0 +1,15 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/carpet_public.hh,v 1.40 2004/01/25 14:57:27 schnetter Exp $
+
+#ifndef CARPET_PUBLIC_HH
+#define CARPET_PUBLIC_HH
+
+// Stuff with C linkage
+#include "carpet_public.h"
+
+// Other declarations
+#include "defines.hh"
+#include "functions.hh"
+#include "modes.hh"
+#include "variables.hh"
+
+#endif // !defined(CARPET_PUBLIC_HH)
diff --git a/Carpet/Carpet/src/defines.hh b/Carpet/Carpet/src/defines.hh
new file mode 100644
index 000000000..006d925f3
--- /dev/null
+++ b/Carpet/Carpet/src/defines.hh
@@ -0,0 +1,33 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/defines.hh,v 1.2 2004/03/02 10:29:54 schnetter Exp $
+
+#ifndef DEFINES_HH
+#define DEFINES_HH
+
+#include "cctk.h"
+
+#include <bbox.hh>
+#include <bboxset.hh>
+#include <vect.hh>
+
+
+
+namespace Carpet {
+
+ const int dim = 3;
+
+ typedef vect<bool,dim> bvect;
+ typedef vect<int,dim> ivect;
+ typedef vect<CCTK_INT,dim> jvect;
+ typedef vect<CCTK_REAL,dim> rvect;
+ typedef bbox<int,dim> ibbox;
+ typedef bbox<CCTK_INT,dim> jbbox;
+ typedef bbox<CCTK_REAL,dim> rbbox;
+ typedef bboxset<int,dim> ibset;
+
+ typedef vect<vect<bool,2>,dim> bbvect;
+ typedef vect<vect<int,2>,dim> iivect;
+ typedef vect<vect<CCTK_INT,2>,dim> jjvect;
+
+} // namespace Carpet
+
+#endif // !defined(DEFINES_HH)
diff --git a/Carpet/Carpet/src/functions.hh b/Carpet/Carpet/src/functions.hh
new file mode 100644
index 000000000..56170dbed
--- /dev/null
+++ b/Carpet/Carpet/src/functions.hh
@@ -0,0 +1,73 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/functions.hh,v 1.4 2004/04/18 13:29:43 schnetter Exp $
+
+#ifndef FUNCTIONS_HH
+#define FUNCTIONS_HH
+
+#include <vector>
+
+#include "cctk.h"
+#include "cctk_Schedule.h"
+
+#include "bbox.hh"
+#include "gh.hh"
+#include "vect.hh"
+
+#include "defines.hh"
+
+
+
+namespace Carpet {
+
+ using namespace std;
+
+ int SyncGroup (const cGH* cgh, const char* groupname);
+ int EnableGroupStorage (const cGH* cgh, const char* groupname);
+ int DisableGroupStorage (const cGH* cgh, const char* groupname);
+ int EnableGroupComm (const cGH* cgh, const char* groupname);
+ int DisableGroupComm (const cGH* cgh, const char* groupname);
+ int Barrier (const cGH* cgh);
+ int Exit (cGH* cgh, int retval);
+ int Abort (cGH* cgh, int retval);
+ int MyProc (const cGH* cgh);
+ int nProcs (const cGH* cgh);
+ const int* ArrayGroupSizeB (const cGH* cgh, int dir, int group,
+ const char* groupname);
+ int QueryGroupStorageB (const cGH* cgh, int group, const char* groupname);
+ int GroupDynamicData (const cGH* cgh, int group, cGroupDynamicData* data);
+
+
+
+ // Helpers for recomposing the grid hierarchy
+ void CheckRegions (const gh<dim>::rexts & bbsss,
+ const gh<dim>::rbnds & obss,
+ const gh<dim>::rprocs& pss);
+
+ void OutputGrids (const cGH* cgh, const int m, const gh<dim>& hh);
+
+ void OutputGridStructure (const cGH *cgh,
+ const int m,
+ const gh<dim>::rexts & bbsss,
+ const gh<dim>::rbnds & obss,
+ const gh<dim>::rprocs& pss);
+
+
+
+ // Functions for recomposing the grid hierarchy
+ void SplitRegions (const cGH* cgh, vector<ibbox>& bbs,
+ vector<bbvect>& obs, vector<int>& ps);
+ void SplitRegions_AlongZ (const cGH* cgh, vector<ibbox>& bbs,
+ vector<bbvect>& obs, vector<int>& ps);
+ void SplitRegions_AlongDir (const cGH* cgh, vector<ibbox>& bbs,
+ vector<bbvect>& obs, vector<int>& ps,
+ const int dir);
+ void SplitRegions_Automatic (const cGH* cgh, vector<ibbox>& bbs,
+ vector<bbvect>& obs, vector<int>& ps);
+
+ void MakeMultigridBoxes (const cGH* cgh,
+ vector<ibbox> const & bbs,
+ vector<bbvect> const & obs,
+ vector<vector<ibbox> > & bbss);
+
+} // namespace Carpet
+
+#endif // !defined(FUNCTIONS_HH)
diff --git a/Carpet/Carpet/src/helpers.cc b/Carpet/Carpet/src/helpers.cc
new file mode 100644
index 000000000..70e892b4d
--- /dev/null
+++ b/Carpet/Carpet/src/helpers.cc
@@ -0,0 +1,337 @@
+#include <assert.h>
+#include <stdarg.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+
+#include <mpi.h>
+
+#include "cctk.h"
+#include "cctk_FortranString.h"
+#include "cctk_Parameters.h"
+
+#include "defs.hh"
+#include "dist.hh"
+#include "ggf.hh"
+
+#include "carpet.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/helpers.cc,v 1.49 2004/07/08 12:43:34 tradke Exp $";
+ CCTK_FILEVERSION(Carpet_Carpet_helpers_cc);
+}
+
+
+
+namespace Carpet {
+
+ using namespace std;
+
+
+
+ // Get Carpet's GH extension
+ CarpetGH const * GetCarpetGH (const cGH * const cgh)
+ {
+ assert (cgh);
+ return &carpetGH;
+ }
+
+
+
+ // Enable or disable prolongating
+ CCTK_INT CarpetEnableProlongating (const CCTK_INT flag)
+ {
+ assert (flag==0 || flag==1);
+ do_prolongate = flag;
+ if (do_prolongate) {
+ Checkpoint ("Prolongating enabled");
+ } else {
+ Checkpoint ("Prolongating disabled");
+ }
+ return 0;
+ }
+
+
+
+ // Communication
+
+ int Barrier (const cGH* cgh)
+ {
+ void *dummy = &dummy;
+ dummy = &cgh;
+
+ MPI_Barrier (dist::comm);
+ return 0;
+ }
+
+
+
+ int Exit (cGH* cgh, int retval)
+ {
+ CCTK_Barrier (cgh);
+ dist::finalize();
+ exit (retval);
+ return -999;
+ }
+
+ int Abort (cGH* cgh, int retval)
+ {
+ void *dummy = &dummy;
+ dummy = &cgh;
+
+ MPI_Comm comm = dist::comm;
+ if (comm == MPI_COMM_NULL)
+ {
+ comm = MPI_COMM_WORLD;
+ }
+ MPI_Abort (comm, retval);
+ abort ();
+ return -999;
+ }
+
+
+
+ int MyProc (const cGH* cgh)
+ {
+ // if there is no cgh yet, assume nothing has been initialised
+ // yet, and don't use dist::comm
+ int rank;
+ MPI_Comm_rank (cgh ? dist::comm : MPI_COMM_WORLD, &rank);
+ return rank;
+ }
+
+ int nProcs (const cGH* cgh)
+ {
+ // if there is no cgh yet, assume nothing has been initialised
+ // yet, and don't use dist::comm
+ int size;
+ MPI_Comm_size (cgh ? dist::comm : MPI_COMM_WORLD, &size);
+ return size;
+ }
+
+
+
+ MPI_Comm CarpetMPIComm ()
+ {
+ return dist::comm;
+ }
+
+
+
+ // Datatypes
+
+ MPI_Datatype CarpetMPIDatatype (const int vartype)
+ {
+ switch (vartype) {
+#define TYPECASE(N,T) \
+ case N: { \
+ T dummy; \
+ return dist::datatype(dummy); \
+ }
+#include "typecase"
+#undef TYPECASE
+ default:
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Carpet does not support the variable type %d.", vartype);
+ }
+ // notreached
+ return MPI_CHAR;
+ }
+
+ MPI_Datatype CarpetSimpleMPIDatatype (const int vartype)
+ {
+ switch (vartype) {
+#ifdef CARPET_COMPLEX
+ case CCTK_VARIABLE_COMPLEX:
+ return CarpetMPIDatatype (CCTK_VARIABLE_REAL);
+#endif
+#ifdef CARPET_COMPLEX8
+# ifdef CCTK_REAL4
+ case CCTK_VARIABLE_COMPLEX8:
+ return CarpetMPIDatatype (CCTK_VARIABLE_REAL4);
+# endif
+#endif
+#ifdef CARPET_COMPLEX16
+# ifdef CCTK_REAL8
+ case CCTK_VARIABLE_COMPLEX16:
+ return CarpetMPIDatatype (CCTK_VARIABLE_REAL8);
+# endif
+#endif
+#ifdef CARPET_COMPLEX32
+# ifdef CCTK_REAL16
+ case CCTK_VARIABLE_COMPLEX32:
+ return CarpetMPIDatatype (CCTK_VARIABLE_REAL16);
+# endif
+#endif
+ default:
+ return CarpetMPIDatatype (vartype);
+ }
+ // notreached
+ return MPI_CHAR;
+ }
+
+ int CarpetSimpleMPIDatatypeLength (const int vartype)
+ {
+ switch (vartype) {
+#ifdef CARPET_COMPLEX
+ case CCTK_VARIABLE_COMPLEX:
+#endif
+#ifdef CARPET_COMPLEX8
+# ifdef CCTK_REAL4
+ case CCTK_VARIABLE_COMPLEX8:
+# endif
+#endif
+#ifdef CARPET_COMPLEX16
+# ifdef CCTK_REAL8
+ case CCTK_VARIABLE_COMPLEX16:
+# endif
+#endif
+#ifdef CARPET_COMPLEX32
+# ifdef CCTK_REAL16
+ case CCTK_VARIABLE_COMPLEX32:
+# endif
+#endif
+ return 2;
+ default:
+ return 1;
+ }
+ // notreached
+ return 0;
+ }
+
+
+
+ // Timelevels
+
+ int mintl (const checktimes where, const int num_tl)
+ {
+ assert (num_tl>0);
+ switch (where) {
+ case currenttime:
+ return 0;
+ case currenttimebutnotifonly:
+ // don't include current time if there is only one time level
+ return num_tl>1 ? 0 : 1;
+ case previoustime:
+ return 1;
+ case allbutlasttime:
+ // do include current time if there is only one time level
+ return 0;
+ case allbutcurrenttime:
+ return 1;
+ case alltimes:
+ return 0;
+ default:
+ assert (0);
+ }
+ return -999;
+ }
+
+ int maxtl (const checktimes where, const int num_tl)
+ {
+ assert (num_tl>0);
+ switch (where) {
+ case currenttime:
+ return 0;
+ case currenttimebutnotifonly:
+ return 0;
+ case previoustime:
+ return num_tl>1 ? 1 : 0;
+ case allbutlasttime:
+ return num_tl-2;
+ case allbutcurrenttime:
+ return num_tl-1;
+ case alltimes:
+ return num_tl-1;
+ default:
+ assert (0);
+ }
+ return -999;
+ }
+
+
+
+ // Diagnostic output
+
+ static void prepend_id (char* const msg, size_t const msglen)
+ {
+ if (mglevel!=-1) {
+ snprintf (msg+strlen(msg), msglen-strlen(msg), "[%d]", mglevel);
+ if (reflevel!=-1) {
+ snprintf (msg+strlen(msg), msglen-strlen(msg), "[%d]", reflevel);
+ if (map!=-1) {
+ snprintf (msg+strlen(msg), msglen-strlen(msg), "[%d]", map);
+ if (component!=-1) {
+ snprintf (msg+strlen(msg), msglen-strlen(msg), "[%d]", component);
+ }
+ }
+ }
+ snprintf (msg+strlen(msg), msglen-strlen(msg), " ");
+ }
+ }
+
+ void Output (const char* fmt, ...)
+ {
+ DECLARE_CCTK_PARAMETERS;
+ va_list args;
+ char msg[1000];
+ snprintf (msg, sizeof msg, "%s", "");
+ prepend_id (msg + strlen(msg), sizeof msg - strlen(msg));
+ va_start (args, fmt);
+ vsnprintf (msg + strlen(msg), sizeof msg - strlen(msg), fmt, args);
+ va_end (args);
+ CCTK_INFO (msg);
+ if (barriers) {
+ MPI_Barrier (dist::comm);
+ }
+ }
+
+ void Waypoint (const char* fmt, ...)
+ {
+ DECLARE_CCTK_PARAMETERS;
+ if (verbose || veryverbose) {
+ va_list args;
+ char msg[1000];
+ snprintf (msg, sizeof msg, "%s", "");
+ prepend_id (msg + strlen(msg), sizeof msg - strlen(msg));
+ va_start (args, fmt);
+ vsnprintf (msg + strlen(msg), sizeof msg - strlen(msg), fmt, args);
+ va_end (args);
+ CCTK_INFO (msg);
+ }
+ if (barriers) {
+ MPI_Barrier (dist::comm);
+ }
+ }
+
+ void Checkpoint (const char* fmt, ...)
+ {
+ DECLARE_CCTK_PARAMETERS;
+ if (veryverbose) {
+ va_list args;
+ char msg[1000];
+ snprintf (msg, sizeof msg, "%s", "");
+ prepend_id (msg + strlen(msg), sizeof msg - strlen(msg));
+ va_start (args, fmt);
+ vsnprintf (msg + strlen(msg), sizeof msg - strlen(msg), fmt, args);
+ va_end (args);
+ CCTK_INFO (msg);
+ }
+ if (barriers) {
+ MPI_Barrier (dist::comm);
+ }
+ }
+
+
+
+ void UnsupportedVarType (const int vindex)
+ {
+ assert (vindex>=0 && vindex<CCTK_NumVars());
+ CCTK_VWarn
+ (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Carpet does not support the type of the variable \"%s\".\n"
+ "Either enable support for this type, "
+ "or change the type of this variable.", CCTK_FullName(vindex));
+ }
+
+} // namespace Carpet
diff --git a/Carpet/Carpet/src/make.code.defn b/Carpet/Carpet/src/make.code.defn
new file mode 100644
index 000000000..548da3678
--- /dev/null
+++ b/Carpet/Carpet/src/make.code.defn
@@ -0,0 +1,25 @@
+# Main make.code.defn file for thorn Carpet -*-Makefile-*-
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/make.code.defn,v 1.6 2004/01/25 14:57:28 schnetter Exp $
+
+# Source files in this directory
+SRCS = CallFunction.cc \
+ CarpetParamCheck.cc \
+ CarpetStartup.cc \
+ Checksum.cc \
+ Comm.cc \
+ Cycle.cc \
+ Evolve.cc \
+ Initialise.cc \
+ Poison.cc \
+ Recompose.cc \
+ Restrict.cc \
+ SetupGH.cc \
+ Shutdown.cc \
+ Storage.cc \
+ helpers.cc \
+ modes.cc \
+ variables.cc
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/Carpet/Carpet/src/modes.cc b/Carpet/Carpet/src/modes.cc
new file mode 100644
index 000000000..e831b2dd8
--- /dev/null
+++ b/Carpet/Carpet/src/modes.cc
@@ -0,0 +1,976 @@
+#include <assert.h>
+#include <stdarg.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+
+#include "cctk.h"
+
+#include "defs.hh"
+#include "ggf.hh"
+
+#include "carpet.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/modes.cc,v 1.9 2004/08/07 20:07:27 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_Carpet_modes_cc);
+}
+
+
+
+namespace Carpet {
+
+ using namespace std;
+
+
+
+ //
+ // Mode indicators
+ //
+
+ bool is_meta_mode ()
+ {
+ if (mglevel==-1) assert (reflevel==-1 && map==-1 && component==-1);
+ return mglevel==-1;
+ }
+
+ bool is_global_mode ()
+ {
+ if (mglevel==-1 && reflevel!=-1) assert (map==-1 && component==-1);
+ return mglevel!=-1 && reflevel==-1;
+ }
+
+ bool is_level_mode ()
+ {
+ if (mglevel!=-1 && reflevel!=-1 && map==-1) assert (component==-1);
+ return mglevel!=-1 && reflevel!=-1 && map==-1;
+ }
+
+ bool is_singlemap_mode ()
+ {
+ return mglevel!=-1 && reflevel!=-1 && map!=-1 && component==-1;
+ }
+
+ bool is_local_mode ()
+ {
+ return mglevel!=-1 && reflevel!=-1 && map!=-1 && component!=-1;
+// assert (mglevel>=0 && mglevel<mglevels);
+// assert (reflevel>=0 && reflevel<reflevels);
+// assert (map>=0 && map<maps);
+// assert (vhh.at(map)->local_components(reflevel)==1 || component==-1);
+ }
+
+
+
+ //
+ // Mode setting
+ //
+
+ // Set global mode
+
+ void enter_global_mode (cGH * const cgh, int const ml)
+ {
+ assert (is_meta_mode());
+ assert (ml>=0 && ml<mglevels);
+ Checkpoint ("Entering global mode");
+
+ mglevel = ml;
+ mglevelfact = ipow(mgfact, mglevel);
+ // TODO: this could also just be "mglevel" instead
+ cgh->cctk_convlevel = basemglevel + mglevel;
+
+ // Set time and space delta
+ cgh->cctk_delta_time = delta_time * mglevelfact;
+ for (int d=0; d<dim; ++d) {
+ cgh->cctk_origin_space[d] = origin_space.at(mglevel)[d];
+ cgh->cctk_delta_space[d] = delta_space[d] * mglevelfact;
+ }
+
+ // Set array information
+ for (int group=0; group<CCTK_NumGroups(); ++group) {
+ if (CCTK_GroupTypeI(group) != CCTK_GF) {
+
+ const int rl = 0;
+ const int m = 0;
+ const int c = CCTK_MyProc(cgh);
+
+ const ibbox& base = arrdata.at(group).at(m).hh->bases.at(rl).at(ml);
+ const bbvect& obnds = arrdata.at(group).at(m).hh->outer_boundaries.at(rl).at(c);
+ const ibbox& ext = arrdata.at(group).at(m).dd->boxes.at(rl).at(c).at(ml).exterior;
+
+ ivect::ref(const_cast<int*>(groupdata.at(group).info.nghostzones))
+ = arrdata.at(group).at(m).dd->lghosts;
+ ivect::ref(const_cast<int*>(groupdata.at(group).info.gsh))
+ = base.shape() / base.stride();
+ ivect::ref(const_cast<int*>(groupdata.at(group).info.lsh))
+ = ext.shape() / ext.stride();
+ ivect::ref(const_cast<int*>(groupdata.at(group).info.lbnd))
+ = (ext.lower() - base.lower()) / ext.stride();
+ ivect::ref(const_cast<int*>(groupdata.at(group).info.ubnd))
+ = (ext.upper() - base.lower()) / ext.stride();
+ for (int d=0; d<dim; ++d) {
+ const_cast<int*>(groupdata.at(group).info.bbox)[2*d ] = obnds[d][0];
+ const_cast<int*>(groupdata.at(group).info.bbox)[2*d+1] = obnds[d][1];
+ }
+
+ for (int d=0; d<dim; ++d) {
+ assert (groupdata.at(group).info.lsh[d]>=0);
+ assert (groupdata.at(group).info.lsh[d]<=groupdata.at(group).info.gsh[d]);
+ if (d>=groupdata.at(group).info.dim) {
+ assert (groupdata.at(group).info.lsh[d]==1);
+ }
+ assert (groupdata.at(group).info.lbnd[d]>=0);
+ assert (groupdata.at(group).info.lbnd[d]<=groupdata.at(group).info.ubnd[d]+1);
+ assert (groupdata.at(group).info.ubnd[d]<groupdata.at(group).info.gsh[d]);
+ assert (groupdata.at(group).info.lbnd[d] + groupdata.at(group).info.lsh[d] - 1
+ == groupdata.at(group).info.ubnd[d]);
+ assert (groupdata.at(group).info.lbnd[d]<=groupdata.at(group).info.ubnd[d]+1);
+ }
+
+ const int numvars = CCTK_NumVarsInGroupI (group);
+ if (numvars>0) {
+ const int firstvar = CCTK_FirstVarIndexI (group);
+ assert (firstvar>=0);
+ const int num_tl = CCTK_NumTimeLevelsFromVarI (firstvar);
+
+ assert (arrdata.at(group).at(m).hh->is_local(rl,c));
+
+ for (int var=0; var<numvars; ++var) {
+ assert (firstvar+var<CCTK_NumVars());
+ for (int tl=0; tl<num_tl; ++tl) {
+ ggf<dim> * const ff = arrdata.at(group).at(m).data.at(var);
+ if (ff) {
+ gdata<dim> * const data = (*ff) (-tl, rl, c, ml);
+ assert (data);
+ cgh->data[firstvar+var][tl] = data->storage();
+ } else {
+ cgh->data[firstvar+var][tl] = 0;
+ }
+ }
+ }
+ }
+
+ } // if grouptype
+ } // for group
+
+ assert (is_global_mode());
+ }
+
+ void leave_global_mode (cGH * const cgh)
+ {
+ assert (is_global_mode() || is_meta_mode());
+ Checkpoint ("Leaving global mode");
+
+ if (mglevel == -1) return; // early return
+
+ // Save and unset time and space delta
+ delta_time = cgh->cctk_delta_time / mglevelfact;
+ cgh->cctk_delta_time = 0.0;
+ for (int d=0; d<dim; ++d) {
+ origin_space.at(mglevel)[d] = cgh->cctk_origin_space[d];
+ delta_space[d] = cgh->cctk_delta_space[d] / mglevelfact;
+ cgh->cctk_origin_space[d] = -424242.0;
+ cgh->cctk_delta_space[d] = 0.0;
+ }
+
+ // Set array information
+ for (int group=0; group<CCTK_NumGroups(); ++group) {
+ if (CCTK_GroupTypeI(group) != CCTK_GF) {
+
+ const int m = 0;
+
+// ivect::ref(const_cast<int*>(groupdata.at(group).info.nghostzones))
+// = 0xdead;
+ ivect::ref(const_cast<int*>(groupdata.at(group).info.nghostzones))
+ = arrdata.at(group).at(m).dd->lghosts;
+ ivect::ref(const_cast<int*>(groupdata.at(group).info.gsh))
+ = 0xdead;
+ ivect::ref(const_cast<int*>(groupdata.at(group).info.lsh))
+ = 0xdead;
+ ivect::ref(const_cast<int*>(groupdata.at(group).info.lbnd))
+ = -0xdead;
+ ivect::ref(const_cast<int*>(groupdata.at(group).info.ubnd))
+ = 0xdead;
+ for (int d=0; d<dim; ++d) {
+ const_cast<int*>(groupdata.at(group).info.bbox)[2*d ] = 0xdead;
+ const_cast<int*>(groupdata.at(group).info.bbox)[2*d+1] = 0xdead;
+ }
+
+ const int numvars = CCTK_NumVarsInGroupI (group);
+ if (numvars>0) {
+ const int firstvar = CCTK_FirstVarIndexI (group);
+ assert (firstvar>=0);
+ const int num_tl = CCTK_NumTimeLevelsFromVarI (firstvar);
+
+ assert (group<(int)arrdata.size());
+ for (int var=0; var<numvars; ++var) {
+ assert (firstvar+var<CCTK_NumVars());
+ for (int tl=0; tl<num_tl; ++tl) {
+ cgh->data[firstvar+var][tl] = 0;
+ }
+ }
+ }
+
+ } // if grouptype
+ } // for group
+
+ mglevel = -1;
+ mglevelfact = -0xdead;
+ cgh->cctk_convlevel = -0xdead;
+
+ assert (is_meta_mode());
+ }
+
+
+
+ // Set level mode
+
+ void enter_level_mode (cGH * const cgh, int const rl)
+ {
+ assert (is_global_mode());
+ assert (rl>=0 && rl<reflevels);
+ Checkpoint ("Entering level mode");
+
+ reflevel = rl;
+ reflevelfact = ipow(reffact, reflevel);
+ ivect::ref(cgh->cctk_levfac) = reflevelfact;
+ cgh->cctk_timefac = reflevelfact;
+
+ // Set current time
+ assert (mglevel>=0 && mglevel<(int)leveltimes.size());
+ assert (reflevel>=0 && reflevel<(int)leveltimes.at(mglevel).size());
+ cgh->cctk_time = leveltimes.at(mglevel).at(reflevel);
+
+ assert (is_level_mode());
+ }
+
+ void leave_level_mode (cGH * const cgh)
+ {
+ assert (is_level_mode() || is_global_mode());
+ Checkpoint ("Leaving level mode");
+
+ if (reflevel == -1) return; // early return
+
+ // Save and unset current time
+ assert (mglevel>=0 && mglevel<(int)leveltimes.size());
+ assert (reflevel>=0 && reflevel<(int)leveltimes.at(mglevel).size());
+ leveltimes.at(mglevel).at(reflevel) = cgh->cctk_time;
+ cgh->cctk_time = global_time;
+
+ reflevel = -1;
+ reflevelfact = -0xdead;
+ ivect::ref(cgh->cctk_levfac) = -0xdead;
+ cgh->cctk_timefac = -0xdead;
+
+ assert (is_global_mode());
+ }
+
+
+
+ // Set singlemap mode
+
+ void enter_singlemap_mode (cGH * const cgh, int const m)
+ {
+ assert (is_level_mode());
+ assert (m>=0 && m<maps);
+ Checkpoint ("Entering singlemap mode");
+
+ carpetGH.map = map = m;
+
+ // Set grid shape
+ const ibbox& coarseext = vdd.at(map)->bases.at(0 ).at(mglevel).exterior;
+ const ibbox& baseext = vdd.at(map)->bases.at(reflevel).at(mglevel).exterior;
+ assert (all (baseext.lower() % baseext.stride() == 0));
+ assert (all ((baseext.lower() - coarseext.lower()) % baseext.stride() == 0));
+ ivect::ref(cgh->cctk_levoff) = (baseext.lower() - coarseext.lower()) / baseext.stride();
+ ivect::ref(cgh->cctk_levoffdenom) = 1;
+ ivect::ref(cgh->cctk_gsh) = baseext.shape() / baseext.stride();
+ assert (all (vdd.at(map)->lghosts == vdd.at(map)->ughosts));
+ ivect::ref(cgh->cctk_nghostzones) = vdd.at(map)->lghosts;
+
+ for (int group=0; group<CCTK_NumGroups(); ++group) {
+ if (CCTK_GroupTypeI(group) == CCTK_GF) {
+ ivect::ref(const_cast<int*>(groupdata.at(group).info.gsh))
+ = ivect::ref(cgh->cctk_gsh);
+ ivect::ref(const_cast<int*>(groupdata.at(group).info.nghostzones))
+ = ivect::ref(cgh->cctk_nghostzones);
+ }
+ }
+
+ assert (is_singlemap_mode());
+ }
+
+ void leave_singlemap_mode (cGH * const cgh)
+ {
+ assert (is_singlemap_mode() || is_level_mode());
+ Checkpoint ("Leaving singlemap mode");
+
+ if (map == -1) return; // early return
+
+ // Unset grid shape
+ ivect::ref(cgh->cctk_levoff) = 0xdead;
+ ivect::ref(cgh->cctk_levoffdenom) = 0;
+ ivect::ref(cgh->cctk_gsh) = 0xdead;
+// ivect::ref(cgh->cctk_nghostzones) = 0xdead;
+ ivect::ref(cgh->cctk_nghostzones) = vdd.at(map)->lghosts;
+
+ for (int group=0; group<CCTK_NumGroups(); ++group) {
+ if (CCTK_GroupTypeI(group) == CCTK_GF) {
+ ivect::ref(const_cast<int*>(groupdata.at(group).info.gsh))
+ = ivect::ref(cgh->cctk_gsh);
+ ivect::ref(const_cast<int*>(groupdata.at(group).info.nghostzones))
+ = ivect::ref(cgh->cctk_nghostzones);
+ }
+ }
+
+ carpetGH.map = map = -1;
+
+ assert (is_level_mode());
+ }
+
+
+
+ // Set local mode
+
+ void enter_local_mode (cGH * const cgh, int const c)
+ {
+ assert (is_singlemap_mode());
+ assert (c>=0 && c<vhh.at(map)->components(reflevel));
+ Checkpoint ("Entering local mode");
+
+ component = c;
+
+ // Set cGH fields
+ const ibbox& baseext = vdd.at(map)->bases.at(reflevel).at(mglevel).exterior;
+ const bbvect& obnds = vhh.at(map)->outer_boundaries.at(reflevel).at(component);
+ const ibbox& ext = vdd.at(map)->boxes.at(reflevel).at(component).at(mglevel).exterior;
+
+ ivect::ref(cgh->cctk_lsh) = ext.shape() / ext.stride();
+ ivect::ref(cgh->cctk_lbnd)
+ = (ext.lower() - baseext.lower()) / ext.stride();
+ ivect::ref(cgh->cctk_ubnd)
+ = (ext.upper() - baseext.lower()) / ext.stride();
+
+ for (int d=0; d<dim; ++d) {
+ cgh->cctk_bbox[2*d ] = obnds[d][0];
+ cgh->cctk_bbox[2*d+1] = obnds[d][1];
+ }
+
+ for (int stg=0; stg<CCTK_NSTAGGER; ++stg) {
+ for (int d=0; d<dim; ++d) {
+ // TODO: support staggering
+ cgh->cctk_lssh[CCTK_LSSH_IDX(stg,d)] = cgh->cctk_lsh[d];
+ }
+ }
+
+ for (int d=0; d<dim; ++d) {
+ assert (cgh->cctk_lsh[d] >= 0);
+ assert (cgh->cctk_lsh[d] <= cgh->cctk_gsh[d]);
+ assert (cgh->cctk_lbnd[d] >= 0);
+ assert (cgh->cctk_lbnd[d] <= cgh->cctk_ubnd[d] + 1);
+ assert (cgh->cctk_ubnd[d] < cgh->cctk_gsh[d]);
+ assert (cgh->cctk_lbnd[d] + cgh->cctk_lsh[d] - 1 == cgh->cctk_ubnd[d]);
+ assert (cgh->cctk_lbnd[d] <= cgh->cctk_ubnd[d]+1);
+ }
+
+ for (int group=0; group<CCTK_NumGroups(); ++group) {
+ if (CCTK_GroupTypeI(group) == CCTK_GF) {
+
+ ivect::ref(const_cast<int*>(groupdata.at(group).info.lsh))
+ = ivect::ref(cgh->cctk_lsh);
+ ivect::ref(const_cast<int*>(groupdata.at(group).info.lbnd))
+ = ivect::ref(cgh->cctk_lbnd);
+ ivect::ref(const_cast<int*>(groupdata.at(group).info.ubnd))
+ = ivect::ref(cgh->cctk_ubnd);
+
+ for (int d=0; d<dim; ++d) {
+ const_cast<int*>(groupdata.at(group).info.bbox)[2*d ]
+ = cgh->cctk_bbox[2*d ];
+ const_cast<int*>(groupdata.at(group).info.bbox)[2*d+1]
+ = cgh->cctk_bbox[2*d+1];
+ }
+
+ const int numvars = CCTK_NumVarsInGroupI (group);
+ if (numvars>0) {
+ const int firstvar = CCTK_FirstVarIndexI (group);
+ assert (firstvar>=0);
+ const int num_tl = CCTK_NumTimeLevelsFromVarI (firstvar);
+
+// assert (vhh.at(map)->is_local(reflevel,component));
+
+ assert (group<(int)arrdata.size());
+ for (int var=0; var<numvars; ++var) {
+ assert (firstvar+var<CCTK_NumVars());
+ for (int tl=0; tl<num_tl; ++tl) {
+ ggf<dim> * const ff = arrdata.at(group).at(map).data.at(var);
+ if (ff) {
+ gdata<dim> * const data
+ = (*ff) (-tl, reflevel, component, mglevel);
+ assert (data);
+ cgh->data[firstvar+var][tl] = data->storage();
+ } else {
+ cgh->data[firstvar+var][tl] = 0;
+ }
+ }
+ }
+ }
+
+ } // if grouptype
+ } // for group
+
+ assert (is_local_mode());
+ }
+
+ void leave_local_mode (cGH * const cgh)
+ {
+ assert (is_local_mode() || is_singlemap_mode());
+ Checkpoint ("Leaving local mode");
+
+ if (component == -1) return; // early return
+
+ // Unset cGH fields
+ ivect::ref(cgh->cctk_lsh) = 0xdead;
+ ivect::ref(cgh->cctk_lbnd) = -0xdead;
+ ivect::ref(cgh->cctk_ubnd) = 0xdead;
+
+ for (int d=0; d<dim; ++d) {
+ cgh->cctk_bbox[2*d ] = 0xdead;
+ cgh->cctk_bbox[2*d+1] = 0xdead;
+ }
+
+ for (int stg=0; stg<CCTK_NSTAGGER; ++stg) {
+ for (int d=0; d<dim; ++d) {
+ // TODO: support staggering
+ cgh->cctk_lssh[CCTK_LSSH_IDX(stg,d)] = cgh->cctk_lsh[d];
+ }
+ }
+
+ for (int group=0; group<CCTK_NumGroups(); ++group) {
+ if (CCTK_GroupTypeI(group) == CCTK_GF) {
+
+ ivect::ref(const_cast<int*>(groupdata.at(group).info.lsh))
+ = ivect::ref(cgh->cctk_lsh);
+ ivect::ref(const_cast<int*>(groupdata.at(group).info.lbnd))
+ = ivect::ref(cgh->cctk_lbnd);
+ ivect::ref(const_cast<int*>(groupdata.at(group).info.ubnd))
+ = ivect::ref(cgh->cctk_ubnd);
+
+ for (int d=0; d<dim; ++d) {
+ const_cast<int*>(groupdata.at(group).info.bbox)[2*d ]
+ = cgh->cctk_bbox[2*d ];
+ const_cast<int*>(groupdata.at(group).info.bbox)[2*d+1]
+ = cgh->cctk_bbox[2*d+1];
+ }
+
+ const int numvars = CCTK_NumVarsInGroupI (group);
+ if (numvars>0) {
+ const int firstvar = CCTK_FirstVarIndexI (group);
+ assert (firstvar>=0);
+ const int num_tl = CCTK_NumTimeLevelsFromVarI (firstvar);
+
+ assert (group<(int)arrdata.size());
+ for (int var=0; var<numvars; ++var) {
+ assert (firstvar+var<CCTK_NumVars());
+ for (int tl=0; tl<num_tl; ++tl) {
+ cgh->data[firstvar+var][tl] = 0;
+ }
+ }
+ }
+
+ } // if grouptype
+ } // for group
+
+ component = -1;
+
+ assert (is_singlemap_mode());
+ }
+
+
+
+ //
+ // Mode iterators
+ //
+
+ // mglevel iterator
+
+ mglevel_iterator::mglevel_iterator (cGH const * const cgh_)
+ : cgh(const_cast<cGH*>(cgh_)), ml(mglevels-1)
+ {
+ enter_global_mode (cgh, ml);
+ }
+
+ mglevel_iterator::~mglevel_iterator ()
+ {
+ leave_global_mode (cgh);
+ }
+
+ bool mglevel_iterator::done () const
+ {
+ return ml < 0;
+ }
+
+ void mglevel_iterator::step ()
+ {
+ -- ml;
+ if (! done()) {
+ leave_global_mode (cgh);
+ enter_global_mode (cgh, ml);
+ }
+ }
+
+
+
+ // reverse mglevel iterator
+
+ reverse_mglevel_iterator::reverse_mglevel_iterator (cGH const * const cgh_)
+ : cgh(const_cast<cGH*>(cgh_)), ml(0)
+ {
+ enter_global_mode (cgh, ml);
+ }
+
+ reverse_mglevel_iterator::~reverse_mglevel_iterator ()
+ {
+ leave_global_mode (cgh);
+ }
+
+ bool reverse_mglevel_iterator::done () const
+ {
+ return ml >= mglevels;
+ }
+
+ void reverse_mglevel_iterator::step ()
+ {
+ ++ ml;
+ if (! done()) {
+ leave_global_mode (cgh);
+ enter_global_mode (cgh, ml);
+ }
+ }
+
+
+
+ // reflevel iterator
+
+ reflevel_iterator::reflevel_iterator (cGH const * const cgh_)
+ : cgh(const_cast<cGH*>(cgh_)), rl(0)
+ {
+ enter_level_mode (cgh, rl);
+ }
+
+ reflevel_iterator::~reflevel_iterator ()
+ {
+ leave_level_mode (cgh);
+ }
+
+ bool reflevel_iterator::done () const
+ {
+ return rl >= reflevels;
+ }
+
+ void reflevel_iterator::step ()
+ {
+ ++ rl;
+ if (! done()) {
+ leave_level_mode (cgh);
+ enter_level_mode (cgh, rl);
+ }
+ }
+
+
+
+ // reverse reflevel iterator
+
+ reverse_reflevel_iterator::reverse_reflevel_iterator (cGH const * const cgh_)
+ : cgh(const_cast<cGH*>(cgh_)), rl(reflevels-1)
+ {
+ enter_level_mode (cgh, rl);
+ }
+
+ reverse_reflevel_iterator::~reverse_reflevel_iterator ()
+ {
+ leave_level_mode (cgh);
+ }
+
+ bool reverse_reflevel_iterator::done () const
+ {
+ return rl < 0;
+ }
+
+ void reverse_reflevel_iterator::step ()
+ {
+ -- rl;
+ if (! done()) {
+ leave_level_mode (cgh);
+ enter_level_mode (cgh, rl);
+ }
+ }
+
+
+
+ // map iterator
+
+ map_iterator::map_iterator (cGH const * const cgh_,
+ int const grouptype_)
+ : cgh(const_cast<cGH*>(cgh_)), grouptype(grouptype_), m(0)
+ {
+ assert (grouptype == CCTK_GF
+ || grouptype == CCTK_ARRAY || grouptype == CCTK_SCALAR);
+ enter_singlemap_mode (cgh, m);
+ }
+
+ map_iterator::~map_iterator ()
+ {
+ leave_singlemap_mode (cgh);
+ }
+
+ bool map_iterator::done () const
+ {
+ return grouptype == CCTK_GF ? m >= maps : m >= 1;
+ }
+
+ void map_iterator::step ()
+ {
+ ++ m;
+ if (! done()) {
+ leave_singlemap_mode (cgh);
+ enter_singlemap_mode (cgh, m);
+ }
+ }
+
+
+
+ // Local mode iterator
+
+ component_iterator::component_iterator (cGH const * const cgh_,
+ int const grouptype_)
+ : cgh(const_cast<cGH*>(cgh_)), grouptype(grouptype_), c(0)
+ {
+ assert (grouptype == CCTK_GF
+ || grouptype == CCTK_ARRAY || grouptype == CCTK_SCALAR);
+ enter_local_mode (cgh, c);
+ }
+
+ component_iterator::~component_iterator ()
+ {
+ leave_local_mode (cgh);
+ }
+
+ bool component_iterator::done () const
+ {
+ return (grouptype == CCTK_GF
+ ? c >= vhh.at(map)->components(reflevel)
+ : c >= CCTK_nProcs(cgh));
+ }
+
+ void component_iterator::step ()
+ {
+ ++ c;
+ if (! done()) {
+ leave_local_mode (cgh);
+ enter_local_mode (cgh, c);
+ }
+ }
+
+
+
+ // Processor local mode iterator
+
+ local_component_iterator::local_component_iterator (cGH const * const cgh_,
+ int const grouptype_)
+ : cgh(const_cast<cGH*>(cgh_)), grouptype(grouptype_), c(-1)
+ {
+ assert (grouptype == CCTK_GF
+ || grouptype == CCTK_ARRAY || grouptype == CCTK_SCALAR);
+ assert (is_singlemap_mode());
+ step ();
+ }
+
+ local_component_iterator::~local_component_iterator ()
+ {
+ leave_local_mode (cgh);
+ }
+
+ bool local_component_iterator::done () const
+ {
+ return c >= (grouptype == CCTK_GF
+ ? vhh.at(map)->components(reflevel)
+ : CCTK_nProcs(cgh));
+ }
+
+ void local_component_iterator::step ()
+ {
+ do {
+ ++ c;
+ } while (! done() && ! (grouptype == CCTK_GF
+ ? vhh.at(map)->is_local(reflevel, c)
+ : c == CCTK_MyProc(cgh)));
+ if (! done()) {
+ leave_local_mode (cgh);
+ enter_local_mode (cgh, c);
+ }
+ }
+
+
+
+ //
+ // Mode escapes
+ //
+
+ // Singlemap escape
+
+ singlemap_escape::singlemap_escape (cGH const * const cgh_)
+ : cgh(const_cast<cGH*>(cgh_)), c(component)
+ {
+ assert (! is_meta_mode());
+ assert (! is_global_mode());
+ assert (! is_level_mode());
+ if (! is_singlemap_mode()) {
+ leave_local_mode (cgh);
+ }
+ }
+
+ singlemap_escape::~singlemap_escape ()
+ {
+ assert (is_singlemap_mode());
+ if (c != -1) {
+ enter_local_mode (cgh, c);
+ }
+ }
+
+
+
+ // Level escape
+
+ level_escape::level_escape (cGH const * const cgh_)
+ : cgh(const_cast<cGH*>(cgh_)), m(map), c(component)
+ {
+ assert (! is_meta_mode());
+ assert (! is_global_mode());
+ if (! is_level_mode()) {
+ if (! is_singlemap_mode()) {
+ leave_local_mode (cgh);
+ }
+ leave_singlemap_mode (cgh);
+ }
+ }
+
+ level_escape::~level_escape ()
+ {
+ assert (is_level_mode());
+ if (m != -1) {
+ enter_singlemap_mode (cgh, m);
+ if (c != -1) {
+ enter_local_mode (cgh, c);
+ }
+ }
+ }
+
+
+
+ // Global escape
+
+ global_escape::global_escape (cGH const * const cgh_)
+ : cgh(const_cast<cGH*>(cgh_)), rl(reflevel), m(map), c(component)
+ {
+ assert (! is_meta_mode());
+ if (! is_global_mode()) {
+ if (! is_level_mode()) {
+ if (! is_singlemap_mode()) {
+ leave_local_mode (cgh);
+ }
+ leave_singlemap_mode (cgh);
+ }
+ leave_level_mode (cgh);
+ }
+ }
+
+ global_escape::~global_escape ()
+ {
+ assert (is_global_mode());
+ if (rl != -1) {
+ enter_level_mode (cgh, rl);
+ if (m != -1) {
+ enter_singlemap_mode (cgh, m);
+ if (c != -1) {
+ enter_local_mode (cgh, c);
+ }
+ }
+ }
+ }
+
+
+
+ // Meta escape
+
+ meta_escape::meta_escape (cGH const * const cgh_)
+ : cgh(const_cast<cGH*>(cgh_)), ml(mglevel), rl(reflevel), m(map), c(component)
+ {
+ if (! is_meta_mode()) {
+ if (! is_global_mode()) {
+ if (! is_level_mode()) {
+ if (! is_singlemap_mode()) {
+ leave_local_mode (cgh);
+ }
+ leave_singlemap_mode (cgh);
+ }
+ leave_level_mode (cgh);
+ }
+ leave_global_mode (cgh);
+ }
+ }
+
+ meta_escape::~meta_escape ()
+ {
+ assert (is_meta_mode());
+ if (ml != -1) {
+ enter_global_mode (cgh, ml);
+ if (rl != -1) {
+ enter_level_mode (cgh, rl);
+ if (m != -1) {
+ enter_singlemap_mode (cgh, m);
+ if (c != -1) {
+ enter_local_mode (cgh, c);
+ }
+ }
+ }
+ }
+ }
+
+
+
+ //
+ // Call functions in specific modes
+ //
+
+ int CallLocalFunction (cGH * const cgh,
+ void (* const function) (cGH * const cgh))
+ {
+ if (is_meta_mode()) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ BEGIN_REFLEVEL_LOOP(cgh) {
+ BEGIN_MAP_LOOP(cgh, CCTK_GF) {
+ BEGIN_LOCAL_COMPONENT_LOOP(cgh, CCTK_GF) {
+ function (cgh);
+ } END_LOCAL_COMPONENT_LOOP;
+ } END_MAP_LOOP;
+ } END_REFLEVEL_LOOP;
+ } END_MGLEVEL_LOOP;
+ } else if (is_global_mode()) {
+ BEGIN_REFLEVEL_LOOP(cgh) {
+ BEGIN_MAP_LOOP(cgh, CCTK_GF) {
+ BEGIN_LOCAL_COMPONENT_LOOP(cgh, CCTK_GF) {
+ function (cgh);
+ } END_LOCAL_COMPONENT_LOOP;
+ } END_MAP_LOOP;
+ } END_REFLEVEL_LOOP;
+ } else if (is_level_mode()) {
+ BEGIN_MAP_LOOP(cgh, CCTK_GF) {
+ BEGIN_LOCAL_COMPONENT_LOOP(cgh, CCTK_GF) {
+ function (cgh);
+ } END_LOCAL_COMPONENT_LOOP;
+ } END_MAP_LOOP;
+ } else if (is_singlemap_mode()) {
+ BEGIN_LOCAL_COMPONENT_LOOP(cgh, CCTK_GF) {
+ function (cgh);
+ } END_LOCAL_COMPONENT_LOOP;
+ } else {
+ function (cgh);
+ }
+ return 0;
+ }
+
+ int CallSinglemapFunction (cGH * const cgh,
+ void (* const function) (cGH * const cgh))
+ {
+ if (is_meta_mode()) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ BEGIN_REFLEVEL_LOOP(cgh) {
+ BEGIN_MAP_LOOP(cgh, CCTK_GF) {
+ function (cgh);
+ } END_MAP_LOOP;
+ } END_REFLEVEL_LOOP;
+ } END_MGLEVEL_LOOP;
+ } else if (is_global_mode()) {
+ BEGIN_REFLEVEL_LOOP(cgh) {
+ BEGIN_MAP_LOOP(cgh, CCTK_GF) {
+ function (cgh);
+ } END_MAP_LOOP;
+ } END_REFLEVEL_LOOP;
+ } else if (is_level_mode()) {
+ BEGIN_MAP_LOOP(cgh, CCTK_GF) {
+ function (cgh);
+ } END_MAP_LOOP;
+ } else {
+ BEGIN_SINGLEMAP_MODE(cgh) {
+ function (cgh);
+ } END_SINGLEMAP_MODE;
+ }
+ return 0;
+ }
+
+ int CallLevelFunction (cGH * const cgh,
+ void (* const function) (cGH * const cgh))
+ {
+ if (is_meta_mode()) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ BEGIN_REFLEVEL_LOOP(cgh) {
+ function (cgh);
+ } END_REFLEVEL_LOOP;
+ } END_MGLEVEL_LOOP;
+ } else if (is_global_mode()) {
+ BEGIN_REFLEVEL_LOOP(cgh) {
+ function (cgh);
+ } END_REFLEVEL_LOOP;
+ } else {
+ BEGIN_LEVEL_MODE(cgh) {
+ function (cgh);
+ } END_LEVEL_MODE;
+ }
+ return 0;
+ }
+
+ int CallGlobalFunction (cGH * const cgh,
+ void (* const function) (cGH * const cgh))
+ {
+ if (is_meta_mode()) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+ function (cgh);
+ } END_MGLEVEL_LOOP;
+ } else {
+ BEGIN_GLOBAL_MODE(cgh) {
+ function (cgh);
+ } END_GLOBAL_MODE;
+ }
+ return 0;
+ }
+
+ int CallMetaFunction (cGH * const cgh,
+ void (* const function) (cGH * const cgh))
+ {
+ BEGIN_META_MODE(cgh) {
+ function (cgh);
+ } END_META_MODE;
+ return 0;
+ }
+
+
+
+ //
+ // Call a scheduling group
+ //
+
+ int CallScheduleGroup (cGH * const cgh, const char * const group)
+ {
+ CCTK_ScheduleTraverse (group, cgh, CallFunction);
+ return 0;
+ }
+
+ extern "C" void CCTK_FCALL CCTK_FNAME(CallScheduleGroup)
+ (int * const ierr, cGH * const * const cgh, ONE_FORTSTRING_ARG)
+ {
+ ONE_FORTSTRING_CREATE (group);
+ *ierr = CallScheduleGroup (*cgh, group);
+ free (group);
+ }
+
+} // namespace Carpet
diff --git a/Carpet/Carpet/src/modes.hh b/Carpet/Carpet/src/modes.hh
new file mode 100644
index 000000000..b8cf65d92
--- /dev/null
+++ b/Carpet/Carpet/src/modes.hh
@@ -0,0 +1,322 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/modes.hh,v 1.2 2004/06/14 09:42:53 schnetter Exp $
+
+#ifndef MODES_HH
+#define MODES_HH
+
+#include "cctk.h"
+
+
+
+namespace Carpet {
+
+ using namespace std;
+
+
+
+ //
+ // These are the modes:
+ //
+ // meta mode:
+ // global mode: mglevel ("convergence level") is defined
+ // level mode: reflevel is defined
+ // singlemap mode: map ("map index") is defined
+ // local mode: component ("patch index")
+ //
+ // maybe missing:
+ // convtest mode: [rl, map, c]
+ //
+
+
+
+ // Mode indicators
+ bool is_meta_mode ();
+ bool is_global_mode ();
+ bool is_level_mode ();
+ bool is_singlemap_mode ();
+ bool is_local_mode ();
+
+
+
+ // Mode setting
+
+ void enter_global_mode (cGH * const cgh, int const ml);
+ void leave_global_mode (cGH * const cgh);
+
+ void enter_level_mode (cGH * const cgh, int const rl);
+ void leave_level_mode (cGH * const cgh);
+
+ void enter_singlemap_mode (cGH * const cgh, int const m);
+ void leave_singlemap_mode (cGH * const cgh);
+
+ void enter_local_mode (cGH * const cgh, int const c);
+ void leave_local_mode (cGH * const cgh);
+
+
+
+ // Mode iterators
+
+ class mglevel_iterator {
+ cGH * cgh;
+ int ml;
+ public:
+ mglevel_iterator (cGH const * const cgh);
+ ~mglevel_iterator ();
+ bool done () const;
+ void step ();
+ };
+
+ class reverse_mglevel_iterator {
+ cGH * cgh;
+ int ml;
+ public:
+ reverse_mglevel_iterator (cGH const * const cgh);
+ ~reverse_mglevel_iterator ();
+ bool done () const;
+ void step ();
+ };
+
+ class reflevel_iterator {
+ cGH * cgh;
+ int rl;
+ public:
+ reflevel_iterator (cGH const * const cgh);
+ ~reflevel_iterator ();
+ bool done () const;
+ void step ();
+ };
+
+ class reverse_reflevel_iterator {
+ cGH * cgh;
+ int rl;
+ public:
+ reverse_reflevel_iterator (cGH const * const cgh);
+ ~reverse_reflevel_iterator ();
+ bool done () const;
+ void step ();
+ };
+
+ // Loop over all maps. If grouptype is CCTK_GF, then loop over grid
+ // function maps. If grouptype is CCTK_ARRAY (or CCTK_SCALAR), then
+ // loop over grid array (or grid scalar) maps. In the latter case,
+ // map denotes the current grid array map, i.e. it cannot be used to
+ // access grid functions.
+ class map_iterator {
+ cGH * cgh;
+ int grouptype;
+ int m;
+ public:
+ map_iterator (cGH const * const cgh, int const grouptype);
+ ~map_iterator ();
+ bool done () const;
+ void step ();
+ };
+
+ // Loop over all components. If grouptype is CCTK_GF, then loop
+ // over grid function components. If grouptype is CCTK_ARRAY (or
+ // CCTK_SCALAR), then loop over grid array (or grid scalar)
+ // components. In the latter case, component denotes the current
+ // grid array component, i.e. it cannot be used to index grid
+ // functions.
+ class component_iterator {
+ cGH * cgh;
+ int grouptype;
+ int c;
+ public:
+ component_iterator (cGH const * const cgh, int const grouptype);
+ ~component_iterator ();
+ bool done () const;
+ void step ();
+ };
+
+ class local_component_iterator {
+ cGH * cgh;
+ int grouptype;
+ int c;
+ public:
+ local_component_iterator (cGH const * const cgh, int const grouptype);
+ ~local_component_iterator ();
+ bool done () const;
+ void step ();
+ };
+
+
+
+ // Compatibility defines for the mode iterators
+
+#define BEGIN_MGLEVEL_LOOP(cgh) \
+ do { \
+ bool mglevel_loop_ = true; \
+ for (mglevel_iterator mg_iter_(cgh); \
+ !mg_iter_.done(); \
+ mg_iter_.step()) {
+#define END_MGLEVEL_LOOP \
+ } \
+ assert (mglevel_loop_); \
+ mglevel_loop_ = false; \
+ } while (false)
+
+#define BEGIN_REVERSE_MGLEVEL_LOOP(cgh) \
+ do { \
+ bool reverse_mglevel_loop_ = true; \
+ for (reverse_mglevel_iterator mg_iter_(cgh); \
+ !mg_iter_.done(); \
+ mg_iter_.step()) {
+#define END_REVERSE_MGLEVEL_LOOP \
+ } \
+ assert (reverse_mglevel_loop_); \
+ reverse_mglevel_loop_ = false; \
+ } while (false)
+
+#define BEGIN_REFLEVEL_LOOP(cgh) \
+ do { \
+ bool reflevel_loop_ = true; \
+ for (reflevel_iterator ref_iter_(cgh); \
+ !ref_iter_.done(); \
+ ref_iter_.step()) {
+#define END_REFLEVEL_LOOP \
+ } \
+ assert (reflevel_loop_); \
+ reflevel_loop_ = false; \
+ } while (false)
+
+#define BEGIN_REVERSE_REFLEVEL_LOOP(cgh) \
+ do { \
+ bool reverse_reflevel_loop_ = true; \
+ for (reverse_reflevel_iterator ref_iter_(cgh); \
+ !ref_iter_.done(); \
+ ref_iter_.step()) {
+#define END_REVERSE_REFLEVEL_LOOP \
+ } \
+ assert (reverse_reflevel_loop_); \
+ reverse_reflevel_loop_ = false; \
+ } while (false)
+
+#define BEGIN_MAP_LOOP(cgh, grouptype) \
+ do { \
+ bool map_loop_ = true; \
+ for (map_iterator map_iter_(cgh, grouptype); \
+ !map_iter_.done(); \
+ map_iter_.step()) {
+#define END_MAP_LOOP \
+ } \
+ assert (map_loop_); \
+ map_loop_ = false; \
+ } while (false)
+
+#define BEGIN_COMPONENT_LOOP(cgh, grouptype) \
+ do { \
+ bool component_loop_ = true; \
+ for (component_iterator comp_iter_(cgh, grouptype); \
+ !comp_iter_.done(); \
+ comp_iter_.step()) {
+#define END_COMPONENT_LOOP \
+ } \
+ assert (component_loop_); \
+ component_loop_ = false; \
+ } while (false)
+
+#define BEGIN_LOCAL_COMPONENT_LOOP(cgh, grouptype) \
+ do { \
+ bool local_component_loop_ = true; \
+ for (local_component_iterator comp_iter_(cgh, grouptype); \
+ !comp_iter_.done(); \
+ comp_iter_.step()) {
+#define END_LOCAL_COMPONENT_LOOP \
+ } \
+ assert (local_component_loop_); \
+ local_component_loop_ = false; \
+ } while (false)
+
+
+
+ // Mode escapes
+
+ class singlemap_escape {
+ cGH * cgh;
+ int c;
+ public:
+ singlemap_escape (cGH const * const cgh);
+ ~singlemap_escape ();
+ };
+
+ class level_escape {
+ cGH * cgh;
+ int m;
+ int c;
+ public:
+ level_escape (cGH const * const cgh);
+ ~level_escape ();
+ };
+
+ class global_escape {
+ cGH * cgh;
+ int rl;
+ int m;
+ int c;
+ public:
+ global_escape (cGH const * const cgh);
+ ~global_escape ();
+ };
+
+ class meta_escape {
+ cGH * cgh;
+ int ml;
+ int rl;
+ int m;
+ int c;
+ public:
+ meta_escape (cGH const * const cgh);
+ ~meta_escape ();
+ };
+
+
+
+ // Compatibility defines for the mode escapes
+
+#define BEGIN_SINGLEMAP_MODE(cgh) \
+ do { \
+ bool singlemap_mode_ = true; \
+ singlemap_escape esc_(cgh); \
+ {
+#define END_SINGLEMAP_MODE \
+ } \
+ assert (singlemap_mode_); \
+ singlemap_mode_ = false; \
+ } while (false)
+
+#define BEGIN_LEVEL_MODE(cgh) \
+ do { \
+ bool level_mode_ = true; \
+ level_escape esc_(cgh); \
+ {
+#define END_LEVEL_MODE \
+ } \
+ assert (level_mode_); \
+ level_mode_ = false; \
+ } while (false)
+
+#define BEGIN_GLOBAL_MODE(cgh) \
+ do { \
+ bool global_mode_ = true; \
+ global_escape esc_(cgh); \
+ {
+#define END_GLOBAL_MODE \
+ } \
+ assert (global_mode_); \
+ global_mode_ = false; \
+ } while (false)
+
+#define BEGIN_META_MODE(cgh) \
+ do { \
+ bool meta_mode_ = true; \
+ meta_escape esc_(cgh); \
+ {
+#define END_META_MODE \
+ } \
+ assert (meta_mode_); \
+ meta_mode_ = false; \
+ } while (false)
+
+} // namespace Carpet
+
+#endif // !defined(MODES_HH)
diff --git a/Carpet/Carpet/src/typecase b/Carpet/Carpet/src/typecase
new file mode 100644
index 000000000..abb79038d
--- /dev/null
+++ b/Carpet/Carpet/src/typecase
@@ -0,0 +1,187 @@
+// Instantiate type cases for all available types -*-C++-*-
+// (C) 2001 Erik Schnetter <schnetter@uni-tuebingen.de>
+
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/typecase,v 1.9 2004/03/01 21:34:52 schnetter Exp $
+
+// Usage:
+// Define the macro TYPECASE(N,T) to be a typecase for the type T with name N,
+// then include this file,
+// then undefine the macro TYPECASE.
+
+
+
+// Decide which types to typecase
+
+#ifdef CARPET_ALL
+# undef CARPET_BYTE
+# undef CARPET_INT
+# undef CARPET_REAL
+# undef CARPET_COMPLEX
+# define CARPET_BYTE
+# define CARPET_INT
+# define CARPET_REAL
+# define CARPET_COMPLEX
+#endif
+
+#ifdef CARPET_ALL_INT
+# undef CARPET_INT1
+# undef CARPET_INT2
+# undef CARPET_INT4
+# undef CARPET_INT8
+# define CARPET_INT1
+# define CARPET_INT2
+# define CARPET_INT4
+# define CARPET_INT8
+#endif
+
+#ifdef CARPET_ALL_REAL
+# undef CARPET_REAL4
+# undef CARPET_REAL8
+# undef CARPET_REAL16
+# define CARPET_REAL4
+# define CARPET_REAL8
+# define CARPET_REAL16
+#endif
+
+#ifdef CARPET_ALL_COMPLEX
+# undef CARPET_COMPLEX8
+# undef CARPET_COMPLEX16
+# undef CARPET_COMPLEX32
+# define CARPET_COMPLEX8
+# define CARPET_COMPLEX16
+# define CARPET_COMPLEX32
+#endif
+
+#if !defined(CARPET_BYTE) && !defined(CARPET_INT) && !defined(CARPET_INT1) && !defined(CARPET_INT2) && !defined(CARPET_INT4) && !defined(CARPET_INT8) && !defined(CARPET_REAL) && !defined(CARPET_REAL4) && !defined(CARPET_REAL8) && !defined(CARPET_REAL16) && !defined(CARPET_COMPLEX) && !defined(CARPET_COMPLEX8) && !defined(CARPET_COMPLEX16) && !defined(CARPET_COMPLEX32)
+// Assume the user just wants INT, REAL, and COMPLEX
+# undef CARPET_INT
+# define CARPET_INT
+# undef CARPET_REAL
+# define CARPET_REAL
+# undef CARPET_COMPLEX
+# define CARPET_COMPLEX
+#endif
+
+#ifdef CARPET_INT
+# ifdef CCTK_INTEGER_PRECISION_1
+# undef CARPET_INT1
+# define CARPET_INT1
+# endif
+# ifdef CCTK_INTEGER_PRECISION_2
+# undef CARPET_INT2
+# define CARPET_INT2
+# endif
+# ifdef CCTK_INTEGER_PRECISION_4
+# undef CARPET_INT4
+# define CARPET_INT4
+# endif
+# ifdef CCTK_INTEGER_PRECISION_8
+# undef CARPET_INT8
+# define CARPET_INT8
+# endif
+#endif
+#ifdef CARPET_REAL
+# ifdef CCTK_REAL_PRECISION_4
+# undef CARPET_REAL4
+# define CARPET_REAL4
+# endif
+# ifdef CCTK_REAL_PRECISION_8
+# undef CARPET_REAL8
+# define CARPET_REAL8
+# endif
+# ifdef CCTK_REAL_PRECISION_16
+# undef CARPET_REAL16
+# define CARPET_REAL16
+# endif
+#endif
+#ifdef CARPET_COMPLEX
+# ifdef CCTK_REAL_PRECISION_4
+# undef CARPET_COMPLEX8
+# define CARPET_COMPLEX8
+# endif
+# ifdef CCTK_REAL_PRECISION_8
+# undef CARPET_COMPLEX16
+# define CARPET_COMPLEX16
+# endif
+# ifdef CCTK_REAL_PRECISION_16
+# undef CARPET_COMPLEX32
+# define CARPET_COMPLEX32
+# endif
+#endif
+
+
+
+// // Check
+// #if !defined(CARPET_BYTE) && !defined(CARPET_INT1) && !defined(CARPET_INT2) && !defined(CARPET_INT4) && !defined(CARPET_INT8) && !defined(CARPET_REAL4) && !defined(CARPET_REAL8) && !defined(CARPET_REAL16) && !defined(CARPET_COMPLEX8) && !defined(CARPET_COMPLEX16) && !defined(CARPET_COMPLEX32)
+// # error "You have not defined which grid function types to instantiate."
+// #endif
+
+
+
+// Typecase the desired types
+
+#ifdef CARPET_BYTE
+TYPECASE(CCTK_VARIABLE_BYTE, CCTK_BYTE)
+#endif
+
+#ifdef CARPET_INT
+TYPECASE(CCTK_VARIABLE_INT, CCTK_INT)
+#endif
+#ifdef CARPET_INT1
+# ifdef CCTK_INT1
+TYPECASE(CCTK_VARIABLE_INT1, CCTK_INT1)
+# endif
+#endif
+#ifdef CARPET_INT2
+# ifdef CCTK_INT2
+TYPECASE(CCTK_VARIABLE_INT2, CCTK_INT2)
+# endif
+#endif
+#ifdef CARPET_INT4
+# ifdef CCTK_INT4
+TYPECASE(CCTK_VARIABLE_INT4, CCTK_INT4)
+# endif
+#endif
+#ifdef CARPET_INT8
+# ifdef CCTK_INT8
+TYPECASE(CCTK_VARIABLE_INT8, CCTK_INT8)
+# endif
+#endif
+
+#ifdef CARPET_REAL
+TYPECASE(CCTK_VARIABLE_REAL, CCTK_REAL)
+#endif
+#ifdef CARPET_REAL4
+# ifdef CCTK_REAL4
+TYPECASE(CCTK_VARIABLE_REAL4, CCTK_REAL4)
+# endif
+#endif
+#ifdef CARPET_REAL8
+# ifdef CCTK_REAL8
+TYPECASE(CCTK_VARIABLE_REAL8, CCTK_REAL8)
+# endif
+#endif
+#ifdef CARPET_REAL16
+# ifdef CCTK_REAL16
+TYPECASE(CCTK_VARIABLE_REAL16, CCTK_REAL16)
+# endif
+#endif
+
+#ifdef CARPET_COMPLEX
+TYPECASE(CCTK_VARIABLE_COMPLEX, CCTK_COMPLEX)
+#endif
+#ifdef CARPET_COMPLEX8
+# ifdef CCTK_REAL4
+TYPECASE(CCTK_VARIABLE_COMPLEX8, CCTK_COMPLEX8)
+# endif
+#endif
+#ifdef CARPET_COMPLEX16
+# ifdef CCTK_REAL8
+TYPECASE(CCTK_VARIABLE_COMPLEX16, CCTK_COMPLEX16)
+# endif
+#endif
+#ifdef CARPET_COMPLEX32
+# ifdef CCTK_REAL16
+TYPECASE(CCTK_VARIABLE_COMPLEX32, CCTK_COMPLEX32)
+# endif
+#endif
diff --git a/Carpet/Carpet/src/util/plot-bboxes b/Carpet/Carpet/src/util/plot-bboxes
new file mode 100644
index 000000000..0bde21283
--- /dev/null
+++ b/Carpet/Carpet/src/util/plot-bboxes
@@ -0,0 +1 @@
+splot "< awk 'BEGIN { FS=\"[][,]\"; } { print $2,$3,$4; print $6,$3,$4; print $6,$7,$4; print $2,$7,$4; print $2,$3,$4; print \"\"; print $2,$3,$8; print $6,$3,$8; print $6,$7,$8; print $2,$7,$8; print $2,$3,$8; print \"\"; print $2,$3,$4; print $2,$3,$8; print \"\"; print $6,$3,$4; print $6,$3,$8; print \"\"; print $2,$7,$4; print $2,$7,$8; print \"\"; print $6,$7,$4; print $6,$7,$8; print \"\"; }' < /dev/tty" w l
diff --git a/Carpet/Carpet/src/variables.cc b/Carpet/Carpet/src/variables.cc
new file mode 100644
index 000000000..f23c8d3f6
--- /dev/null
+++ b/Carpet/Carpet/src/variables.cc
@@ -0,0 +1,98 @@
+
+#include "variables.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/variables.cc,v 1.22 2004/05/21 18:16:23 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_Carpet_variables_cc);
+}
+
+namespace Carpet {
+
+ using namespace std;
+
+
+
+ // Handle from CCTK_RegisterGHExtension
+ int GHExtension;
+
+ // Maximum number of refinement levels
+ int maxreflevels;
+
+ // Refinement levels
+ int reflevels;
+
+ // Refinement factor
+ int reffact;
+
+ // Refinement factor on finest grid
+ int maxreflevelfact;
+
+ // Base multigrid level
+ int basemglevel;
+
+ // Multigrid levels
+ int mglevels;
+
+ // Multigrid factor
+ int mgfact;
+
+ // Multigrid factor on coarsest grid
+ int maxmglevelfact;
+
+ // Maps
+ int maps;
+
+
+
+ // Current position on the grid hierarchy
+ int reflevel;
+ int mglevel;
+ int map;
+ int component;
+
+ // refinement factor of current level: ipow(refinement_factor, reflevel)
+ int reflevelfact;
+
+ // multigrid factor of current level: ipow(multigrid_factor, mglevel)
+ int mglevelfact;
+
+
+
+ // Carpet's GH
+ CarpetGH carpetGH;
+
+
+
+ // Times and spaces on the refinement levels
+ CCTK_REAL global_time;
+ vector<vector<CCTK_REAL> > leveltimes; // [mglevel][reflevel]
+ CCTK_REAL delta_time;
+
+ vector<vect<CCTK_REAL,dim> > origin_space; // [mglevel]
+ vect<CCTK_REAL,dim> delta_space;
+
+
+
+ // Is this the time for a global mode call?
+ bool do_meta_mode;
+ bool do_global_mode;
+
+ // Is prolongation enabled?
+ bool do_prolongate;
+
+
+
+ // Data for grid functions
+
+ // The grid hierarchy
+ vector<gh<dim>*> vhh; // [map]
+ vector<dh<dim>*> vdd; // [map]
+ vector<th<dim>*> vtt; // [map]
+
+ // Data for the groups
+ vector<groupdesc> groupdata; // [group]
+
+ // Data for everything
+ vector<vector<arrdesc> > arrdata; // [group][map]
+
+} // namespace Carpet
diff --git a/Carpet/Carpet/src/variables.hh b/Carpet/Carpet/src/variables.hh
new file mode 100644
index 000000000..284f6d1ae
--- /dev/null
+++ b/Carpet/Carpet/src/variables.hh
@@ -0,0 +1,136 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/Carpet/src/variables.hh,v 1.5 2004/05/21 18:16:23 schnetter Exp $
+
+// It is assumed that each group has at least one map. All arrays
+// have exactly one map. All maps have the same number of refinement
+// levels.
+
+// It is assumed that each group has at least one component.
+
+// It is assumed that the number of components of all arrays is equal
+// to the number of components of the grid functions, and that their
+// distribution onto the processors is the same, and that all
+// processors own the same number of components.
+
+#ifndef VARIABLES_HH
+#define VARIABLES_HH
+
+#include <vector>
+
+#include "cctk.h"
+
+#include "data.hh"
+#include "dh.hh"
+#include "ggf.hh"
+#include "gh.hh"
+#include "operators.hh"
+#include "th.hh"
+#include "vect.hh"
+
+#include "carpet_public.h"
+#include "defines.hh"
+
+
+
+namespace Carpet {
+
+ using namespace std;
+
+
+
+ // Handle from CCTK_RegisterGHExtension
+ extern int GHExtension;
+
+ // Maximum number of refinement levels
+ extern int maxreflevels;
+
+ // Refinement levels
+ extern int reflevels;
+
+ // Refinement factor
+ extern int reffact;
+
+ // Refinement factor on finest possible grid
+ extern int maxreflevelfact;
+
+ // Base multigrid level
+ extern int basemglevel;
+
+ // Multigrid levels
+ extern int mglevels;
+
+ // Multigrid factor
+ extern int mgfact;
+
+ // Multigrid factor on coarsest grid
+ extern int maxmglevelfact;
+
+ // Maps
+ extern int maps;
+
+
+
+ // Current position on the grid hierarchy
+ extern int reflevel;
+ extern int mglevel;
+ extern int map;
+ extern int component;
+
+ // Current refinement factor
+ extern int reflevelfact;
+
+ // Current multigrid factor
+ extern int mglevelfact;
+
+
+
+ // Carpet's GH
+ extern CarpetGH carpetGH;
+
+
+
+ // Times and spaces on the refinement levels
+ extern CCTK_REAL global_time;
+ extern vector<vector<CCTK_REAL> > leveltimes; // [mglevel][reflevel]
+ extern CCTK_REAL delta_time;
+
+ extern vector<vect<CCTK_REAL,dim> > origin_space; // [mglevel]
+ extern vect<CCTK_REAL,dim> delta_space;
+
+
+
+ // Is this the time for a global mode call?
+ extern bool do_meta_mode;
+ extern bool do_global_mode;
+
+ // Is prolongation enabled?
+ extern bool do_prolongate;
+
+
+
+ // Data for grid functions
+
+ // The grid hierarchy
+ extern vector<gh<dim>*> vhh; // [map]
+ extern vector<dh<dim>*> vdd; // [map]
+ extern vector<th<dim>*> vtt; // [map]
+
+ // Data for the groups
+ struct groupdesc {
+ cGroupDynamicData info;
+ operator_type transport_operator; // prolongation and restriction
+ };
+ extern vector<groupdesc> groupdata; // [group]
+
+ // Data for everything
+ struct arrdesc {
+ // points to hh etc. for GF, and is unique for SCALAR and ARRAY
+ gh<dim>* hh;
+ dh<dim>* dd;
+ th<dim>* tt;
+ vector<ggf<dim>*> data; // [var]
+ };
+ extern vector<vector<arrdesc> > arrdata; // [group][map]
+
+} // namespace Carpet
+
+#endif // !defined(VARIABLES_HH)
diff --git a/Carpet/CarpetIOASCII/COPYING b/Carpet/CarpetIOASCII/COPYING
new file mode 100644
index 000000000..1942c4334
--- /dev/null
+++ b/Carpet/CarpetIOASCII/COPYING
@@ -0,0 +1,341 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 59 Temple Place - Suite 330
+ Boston, MA 02111-1307, USA.
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
+
+ The licenses for most software are designed to take away your
+freedom to share and change it. By contrast, the GNU General Public
+License is intended to guarantee your freedom to share and change free
+software--to make sure the software is free for all its users. This
+General Public License applies to most of the Free Software
+Foundation's software and to any other program whose authors commit to
+using it. (Some other Free Software Foundation software is covered by
+the GNU Library General Public License instead.) You can apply it to
+your programs, too.
+
+ When we speak of free software, we are referring to freedom, not
+price. Our General Public Licenses are designed to make sure that you
+have the freedom to distribute copies of free software (and charge for
+this service if you wish), that you receive source code or can get it
+if you want it, that you can change the software or use pieces of it
+in new free programs; and that you know you can do these things.
+
+ To protect your rights, we need to make restrictions that forbid
+anyone to deny you these rights or to ask you to surrender the rights.
+These restrictions translate to certain responsibilities for you if you
+distribute copies of the software, or if you modify it.
+
+ For example, if you distribute copies of such a program, whether
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+ How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
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+ To do so, attach the following notices to the program. It is safest
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+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
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+ (at your option) any later version.
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+
+You should also get your employer (if you work as a programmer) or your
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+ `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+ <signature of Ty Coon>, 1 April 1989
+ Ty Coon, President of Vice
+
+This General Public License does not permit incorporating your program into
+proprietary programs. If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library. If this is what you want to do, use the GNU Library General
+Public License instead of this License.
diff --git a/Carpet/CarpetIOASCII/README b/Carpet/CarpetIOASCII/README
new file mode 100644
index 000000000..b47824330
--- /dev/null
+++ b/Carpet/CarpetIOASCII/README
@@ -0,0 +1,8 @@
+Cactus Code Thorn CarpetIOASCII
+Authors : Erik Schnetter <schnetter@uni-tuebingen.de>
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOASCII/README,v 1.3 2004/01/25 14:57:28 schnetter Exp $
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+This thorn provides ASCII output for Carpet.
diff --git a/Carpet/CarpetIOASCII/configuration.ccl b/Carpet/CarpetIOASCII/configuration.ccl
new file mode 100644
index 000000000..06e1c135d
--- /dev/null
+++ b/Carpet/CarpetIOASCII/configuration.ccl
@@ -0,0 +1,6 @@
+# Configuration definitions for thorn CarpetIOASCII
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOASCII/configuration.ccl,v 1.4 2004/06/08 21:09:25 schnetter Exp $
+
+REQUIRES Carpet CarpetLib IOUtil
+
+REQUIRES THORNS: Carpet CarpetLib IOUtil
diff --git a/Carpet/CarpetIOASCII/doc/documentation.tex b/Carpet/CarpetIOASCII/doc/documentation.tex
new file mode 100644
index 000000000..1472de65a
--- /dev/null
+++ b/Carpet/CarpetIOASCII/doc/documentation.tex
@@ -0,0 +1,154 @@
+% *======================================================================*
+% Cactus Thorn template for ThornGuide documentation
+% Author: Ian Kelley
+% Date: Sun Jun 02, 2002
+% $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOASCII/doc/documentation.tex,v 1.1 2002/10/16 12:36:05 schnetter Exp $
+%
+% Thorn documentation in the latex file doc/documentation.tex
+% will be included in ThornGuides built with the Cactus make system.
+% The scripts employed by the make system automatically include
+% pages about variables, parameters and scheduling parsed from the
+% relevent thorn CCL files.
+%
+% This template contains guidelines which help to assure that your
+% documentation will be correctly added to ThornGuides. More
+% information is available in the Cactus UsersGuide.
+%
+% Guidelines:
+% - Do not change anything before the line
+% % STARTx CACTUS THORNGUIDE",
+% except for filling in the title, author, date etc. fields.
+% - Each of these fields should only be on ONE line.
+% - Author names should be sparated with a \\ or a comma
+% - You can define your own macros are OK, but they must appear after
+% the STARTx CACTUS THORNGUIDE line, and do not redefine standard
+% latex commands.
+% - To avoid name clashes with other thorns, 'labels', 'citations',
+% 'references', and 'image' names should conform to the following
+% convention:
+% ARRANGEMENT_THORN_LABEL
+% For example, an image wave.eps in the arrangement CactusWave and
+% thorn WaveToyC should be renamed to CactusWave_WaveToyC_wave.eps
+% - Graphics should only be included using the graphix package.
+% More specifically, with the "includegraphics" command. Do
+% not specify any graphic file extensions in your .tex file. This
+% will allow us (later) to create a PDF version of the ThornGuide
+% via pdflatex. |
+% - References should be included with the latex "bibitem" command.
+% - use \begin{abstract}...\end{abstract} instead of \abstract{...}
+% - For the benefit of our Perl scripts, and for future extensions,
+% please use simple latex.
+%
+% *======================================================================*
+%
+% Example of including a graphic image:
+% \begin{figure}[ht]
+% \begin{center}
+% \includegraphics[width=6cm]{MyArrangement_MyThorn_MyFigure}
+% \end{center}
+% \caption{Illustration of this and that}
+% \label{MyArrangement_MyThorn_MyLabel}
+% \end{figure}
+%
+% Example of using a label:
+% \label{MyArrangement_MyThorn_MyLabel}
+%
+% Example of a citation:
+% \cite{MyArrangement_MyThorn_Author99}
+%
+% Example of including a reference
+% \bibitem{MyArrangement_MyThorn_Author99}
+% {J. Author, {\em The Title of the Book, Journal, or periodical}, 1 (1999),
+% 1--16. {\tt http://www.nowhere.com/}}
+%
+% *======================================================================*
+
+% If you are using CVS use this line to give version information
+% $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOASCII/doc/documentation.tex,v 1.1 2002/10/16 12:36:05 schnetter Exp $
+
+\documentclass{article}
+
+% Use the Cactus ThornGuide style file
+% (Automatically used from Cactus distribution, if you have a
+% thorn without the Cactus Flesh download this from the Cactus
+% homepage at www.cactuscode.org)
+\usepackage{../../../../doc/ThornGuide/cactus}
+
+\begin{document}
+
+% The author of the documentation
+\author{Erik Schnetter}
+
+% The title of the document (not necessarily the name of the Thorn)
+\title{CarpetIOASCII}
+
+% the date your document was last changed, if your document is in CVS,
+% please use:
+\date{$ $Date: 2002/10/16 12:36:05 $ $}
+%\date{}
+
+\maketitle
+
+% Do not delete next line
+% START CACTUS THORNGUIDE
+
+% Add all definitions used in this documentation here
+% \def\mydef etc
+
+% Add an abstract for this thorn's documentation
+\begin{abstract}
+ This thorn reproduces thorn IOASCII from arrangement CactusBase but
+ is specifically for the driver thorn Carpet.
+\end{abstract}
+
+% The following sections are suggestive only.
+% Remove them or add your own.
+
+\section{Introduction}
+
+This thorn provides ASCII output of data in 1, 2 or 3 dimensions. It
+reproduces most of the functionality of thorn IOASCII from the
+standard CactusBase arrangement. Where possible the names of
+parameters and their use is identical. For most purposes it should be
+sufficient to take a parameter file written for the standard IOASCII
+and just change the active thorn.
+
+However, this thorn outputs considerably more information than the
+standard IOASCII thorn. Information about, e.g., the refinement level
+and the index position of the output are also given. All the output
+can be visualized using gnuplot.
+
+\section{Utilities}
+\label{sec:utils}
+
+For those that prefer other visualization packages than gnuplot there
+are some utilities in the src/util directory. These are
+\begin{itemize}
+\item {\bf carpet2sdf} A program to convert to a format suitable for
+ the {\it ser} program written by M. Choptuik,
+\item {\bf carpet2xgraph} A program to convert to a format suitable
+ for the {\it xgraph} or {\it ygraph} packages of P. Walker and D.
+ Pollney,
+\item {\bf Carpet2ygraph.pl} A perl script to convert to a format
+ suitable for the {\it xgraph} or {\it ygraph} packages of P. Walker
+ and D. Pollney.
+\end{itemize}
+The first two, written by Scott Hawley, are C codes that require the
+Makefile (building using the -utils flag from the main Cactus
+directory currently does not work). Each output one refinement level,
+either to standard output or to a file.
+
+The last script writes all refinement levels from a given file in a
+given direction to a number of different files given a prefix
+filename, where the number in the output filename is given by the
+refinement level.
+
+
+\begin{thebibliography}{9}
+
+\end{thebibliography}
+
+% Do not delete next line
+% END CACTUS THORNGUIDE
+
+\end{document}
diff --git a/Carpet/CarpetIOASCII/interface.ccl b/Carpet/CarpetIOASCII/interface.ccl
new file mode 100644
index 000000000..049da8c86
--- /dev/null
+++ b/Carpet/CarpetIOASCII/interface.ccl
@@ -0,0 +1,22 @@
+# Interface definition for thorn CarpetIOASCII
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOASCII/interface.ccl,v 1.14 2004/06/21 16:07:19 schnetter Exp $
+
+IMPLEMENTS: IOASCII
+
+uses include header: carpet.hh
+
+uses include header: dist.hh
+
+uses include header: vect.hh
+
+uses include header: data.hh
+uses include header: gdata.hh
+
+uses include header: gf.hh
+uses include header: ggf.hh
+
+
+
+CCTK_INT last_output_iteration[4] TYPE=scalar
+CCTK_REAL last_output_time[4] TYPE=scalar
+CCTK_INT this_iteration[4] TYPE=scalar
diff --git a/Carpet/CarpetIOASCII/param.ccl b/Carpet/CarpetIOASCII/param.ccl
new file mode 100644
index 000000000..9d2586fc4
--- /dev/null
+++ b/Carpet/CarpetIOASCII/param.ccl
@@ -0,0 +1,375 @@
+# Parameter definitions for thorn CarpetIOASCII
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOASCII/param.ccl,v 1.16 2004/06/23 17:35:11 tradke Exp $
+
+
+
+shares: IO
+
+USES STRING out_dir
+
+USES KEYWORD out_criterion
+USES CCTK_INT out_every
+USES CCTK_REAL out_dt
+
+
+
+USES CCTK_INT out_xline_yi
+USES CCTK_INT out_xline_zi
+USES CCTK_INT out_yline_xi
+USES CCTK_INT out_yline_zi
+USES CCTK_INT out_zline_xi
+USES CCTK_INT out_zline_yi
+
+USES CCTK_REAL out_xline_y
+USES CCTK_REAL out_xline_z
+USES CCTK_REAL out_yline_x
+USES CCTK_REAL out_yline_z
+USES CCTK_REAL out_zline_x
+USES CCTK_REAL out_zline_y
+
+
+
+USES CCTK_INT out_xyplane_zi
+USES CCTK_INT out_xzplane_yi
+USES CCTK_INT out_yzplane_xi
+
+USES CCTK_REAL out_xyplane_z
+USES CCTK_REAL out_xzplane_y
+USES CCTK_REAL out_yzplane_x
+
+
+
+USES BOOLEAN new_filename_scheme
+USES BOOLEAN strict_io_parameter_check
+
+
+
+private:
+
+
+
+BOOLEAN out3D_ghosts "Output ghost zones as well"
+{
+} "yes"
+
+BOOLEAN out3D_outer_ghosts "Output outer boundary ghost zones as well"
+{
+} "yes"
+
+
+
+BOOLEAN output_all_timelevels "Output all timelevels instead of only the current" STEERABLE = ALWAYS
+{
+} "no"
+
+
+
+BOOLEAN separate_grids "Separate grid levels in the output file by additional empty lines"
+{
+} "yes"
+
+BOOLEAN separate_components "Separate grid components in the output file by additional empty lines"
+{
+} "no"
+
+
+
+INT out_precision "How many digits to output floating-point numbers with" STEERABLE = ALWAYS
+{
+ 1:15 :: "Number of precision digits"
+} 15
+
+
+
+CCTK_STRING out0D_dir "Name of 0D ASCII output directory, overrides IO::out_dir" STEERABLE = ALWAYS
+{
+ "^$" :: "Empty: use IO::out_dir"
+ ".+" :: "Not empty: directory name"
+} ""
+
+CCTK_STRING out1D_dir "Name of 1D ASCII output directory, overrides IO::out_dir" STEERABLE = ALWAYS
+{
+ "^$" :: "Empty: use IO::out_dir"
+ ".+" :: "Not empty: directory name"
+} ""
+
+CCTK_STRING out2D_dir "Name of 2D ASCII output directory, overrides IO::out_dir" STEERABLE = ALWAYS
+{
+ "^$" :: "Empty: use IO::out_dir"
+ ".+" :: "Not empty: directory name"
+} ""
+
+CCTK_STRING out3D_dir "Name of 3D ASCII output directory, overrides IO::out_dir" STEERABLE = ALWAYS
+{
+ "^$" :: "Empty: use IO::out_dir"
+ ".+" :: "Not empty: directory name"
+} ""
+
+
+
+CCTK_STRING out0D_vars "Variables to output in 0D ASCII file format" STEERABLE = ALWAYS
+{
+ ".*" :: "List of group or variable names"
+} ""
+
+CCTK_STRING out1D_vars "Variables to output in 1D ASCII file format" STEERABLE = ALWAYS
+{
+ ".*" :: "List of group or variable names"
+} ""
+
+CCTK_STRING out2D_vars "Variables to output in 2D ASCII file format" STEERABLE = ALWAYS
+{
+ ".*" :: "List of group or variable names"
+} ""
+
+CCTK_STRING out3D_vars "Variables to output in 3D ASCII file format" STEERABLE = ALWAYS
+{
+ ".*" :: "List of group or variable names"
+} ""
+
+
+
+KEYWORD out0D_criterion "Criterion to select 0D ASCII output intervals, overrides out_every" STEERABLE = ALWAYS
+{
+ "default" :: "Use IO::out_criterion"
+ "never" :: "Never output"
+ "iteration" :: "Output every so many iterations"
+ "divisor" :: "Output if iteration mod divisor == 0."
+ "time" :: "Output every that much coordinate time"
+} "default"
+
+KEYWORD out1D_criterion "Criterion to select 1D ASCII output intervals, overrides out_every" STEERABLE = ALWAYS
+{
+ "default" :: "Use IO::out_criterion"
+ "never" :: "Never output"
+ "iteration" :: "Output every so many iterations"
+ "divisor" :: "Output if (iteration % out_every) == 0."
+ "time" :: "Output every that much coordinate time"
+} "default"
+
+KEYWORD out2D_criterion "Criterion to select 2D ASCII output intervals, overrides out_every" STEERABLE = ALWAYS
+{
+ "default" :: "Use IO::out_criterion"
+ "never" :: "Never output"
+ "iteration" :: "Output every so many iterations"
+ "divisor" :: "Output if (iteration % out_every) == 0."
+ "time" :: "Output every that much coordinate time"
+} "default"
+
+KEYWORD out3D_criterion "Criterion to select 3D ASCII output intervals, overrides out_every" STEERABLE = ALWAYS
+{
+ "default" :: "Use IO::out_criterion"
+ "never" :: "Never output"
+ "iteration" :: "Output every so many iterations"
+ "divisor" :: "Output if (iteration % out_every) == 0."
+ "time" :: "Output every that much coordinate time"
+} "default"
+
+
+
+CCTK_INT out0D_every "How often to do 0D ASCII output, overrides out_every" STEERABLE = ALWAYS
+{
+ 1:* :: "Output every so many time steps"
+ -1:0 :: "No output"
+ -2 :: "Use IO::out_every"
+} -2
+
+CCTK_INT out1D_every "How often to do 1D ASCII output, overrides out_every" STEERABLE = ALWAYS
+{
+ 1:* :: "Output every so many time steps"
+ -1:0 :: "No output"
+ -2 :: "Use IO::out_every"
+} -2
+
+CCTK_INT out2D_every "How often to do 2D ASCII output, overrides out_every" STEERABLE = ALWAYS
+{
+ 1:* :: "Output every so many time steps"
+ -1:0 :: "No output"
+ -2 :: "Use IO::out_every"
+} -2
+
+CCTK_INT out3D_every "How often to do 3D ASCII output, overrides out_every" STEERABLE = ALWAYS
+{
+ 1:* :: "Output every so many time steps"
+ -1:0 :: "No output"
+ -2 :: "Use IO::out_every"
+} -2
+
+
+
+REAL out0D_dt "How often to do 0D ASCII output, overrides IO::out_dt" STEERABLE = ALWAYS
+{
+ (0:* :: "In intervals of that much coordinate time"
+ 0 :: "As often as possible"
+ -1 :: "Disable output"
+ -2 :: "Default to IO::out_dt"
+} -2
+
+REAL out1D_dt "How often to do 1D ASCII output, overrides IO::out_dt" STEERABLE = ALWAYS
+{
+ (0:* :: "In intervals of that much coordinate time"
+ 0 :: "As often as possible"
+ -1 :: "Disable output"
+ -2 :: "Default to IO::out_dt"
+} -2
+
+REAL out2D_dt "How often to do 2D ASCII output, overrides IO::out_dt" STEERABLE = ALWAYS
+{
+ (0:* :: "In intervals of that much coordinate time"
+ 0 :: "As often as possible"
+ -1 :: "Disable output"
+ -2 :: "Default to IO::out_dt"
+} -2
+
+REAL out3D_dt "How often to do 3D ASCII output, overrides IO::out_dt" STEERABLE = ALWAYS
+{
+ (0:* :: "In intervals of that much coordinate time"
+ 0 :: "As often as possible"
+ -1 :: "Disable output"
+ -2 :: "Default to IO::out_dt"
+} -2
+
+
+
+CCTK_INT out0D_point_xi "x-index (counting from 0) for 0D points" STEERABLE = ALWAYS
+{
+ 0:* :: ""
+} 0
+CCTK_INT out0D_point_yi "y-index (counting from 0) for 0D points" STEERABLE = ALWAYS
+{
+ 0:* :: ""
+} 0
+CCTK_INT out0D_point_zi "z-index (counting from 0) for 0D points" STEERABLE = ALWAYS
+{
+ 0:* :: ""
+} 0
+
+CCTK_REAL out0D_point_x "x coordinate for 0D points" STEERABLE = ALWAYS
+{
+ *:* :: ""
+} 0
+CCTK_REAL out0D_point_y "y coordinate for 0D points" STEERABLE = ALWAYS
+{
+ *:* :: ""
+} 0
+CCTK_REAL out0D_point_z "z coordinate for 0D points" STEERABLE = ALWAYS
+{
+ *:* :: ""
+} 0
+
+
+
+BOOLEAN out1D_x "Do 1D IOASCII output in the x-direction" STEERABLE = ALWAYS
+{
+} "yes"
+BOOLEAN out1D_y "Do 1D IOASCII output in the y-direction" STEERABLE = ALWAYS
+{
+} "yes"
+BOOLEAN out1D_z "Do 1D IOASCII output in the z-direction" STEERABLE = ALWAYS
+{
+} "yes"
+
+CCTK_INT out1D_xline_yi "y-index (counting from 0) for 1D lines in x-direction" STEERABLE = ALWAYS
+{
+ 0:* :: ""
+} 0
+CCTK_INT out1D_xline_zi "z-index (counting from 0) for 1D lines in x-direction" STEERABLE = ALWAYS
+{
+ 0:* :: ""
+} 0
+
+CCTK_INT out1D_yline_xi "x-index (counting from 0) for 1D lines in y-direction" STEERABLE = ALWAYS
+{
+ 0:* :: ""
+} 0
+CCTK_INT out1D_yline_zi "z-index (counting from 0) for 1D lines in y-direction" STEERABLE = ALWAYS
+{
+ 0:* :: ""
+} 0
+
+CCTK_INT out1D_zline_xi "x-index (counting from 0) for 1D lines in z-direction" STEERABLE = ALWAYS
+{
+ 0:* :: ""
+} 0
+CCTK_INT out1D_zline_yi "y-index (counting from 0) for 1D lines in z-direction" STEERABLE = ALWAYS
+{
+ 0:* :: ""
+} 0
+
+CCTK_REAL out1D_xline_y "y coordinate for 1D lines in x-direction" STEERABLE = ALWAYS
+{
+ *:* :: ""
+} 0
+CCTK_REAL out1D_xline_z "z coordinate for 1D lines in x-direction" STEERABLE = ALWAYS
+{
+ *:* :: ""
+} 0
+
+CCTK_REAL out1D_yline_x "x coordinate for 1D lines in y-direction" STEERABLE = ALWAYS
+{
+ *:* :: ""
+} 0
+CCTK_REAL out1D_yline_z "z coordinate for 1D lines in y-direction" STEERABLE = ALWAYS
+{
+ *:* :: ""
+} 0
+
+CCTK_REAL out1D_zline_x "x coordinate for 1D lines in z-direction" STEERABLE = ALWAYS
+{
+ *:* :: ""
+} 0
+CCTK_REAL out1D_zline_y "y coordinate for 1D lines in z-direction" STEERABLE = ALWAYS
+{
+ *:* :: ""
+} 0
+
+
+
+BOOLEAN out2D_xy "Do 2D IOASCII output in the xy-direction" STEERABLE = ALWAYS
+{
+} "yes"
+BOOLEAN out2D_xz "Do 2D IOASCII output in the xz-direction" STEERABLE = ALWAYS
+{
+} "yes"
+BOOLEAN out2D_yz "Do 2D IOASCII output in the yz-direction" STEERABLE = ALWAYS
+{
+} "yes"
+
+CCTK_INT out2D_xyplane_zi "z-index (counting from 0) for 2D planes in xy-direction" STEERABLE = ALWAYS
+{
+ 0:* :: ""
+} 0
+
+CCTK_INT out2D_xzplane_yi "y-index (counting from 0) for 2D planes in xz-direction" STEERABLE = ALWAYS
+{
+ 0:* :: ""
+} 0
+
+CCTK_INT out2D_yzplane_xi "x-index (counting from 0) for 2D planes in yz-direction" STEERABLE = ALWAYS
+{
+ 0:* :: ""
+} 0
+
+CCTK_REAL out2D_xyplane_z "z coordinate for 2D planes in xy-direction" STEERABLE = ALWAYS
+{
+ *:* :: ""
+} 0
+
+CCTK_REAL out2D_xzplane_y "y coordinate for 2D planes in xz-direction" STEERABLE = ALWAYS
+{
+ *:* :: ""
+} 0
+
+CCTK_REAL out2D_yzplane_x "x coordinate for 2D planes in yz-direction" STEERABLE = ALWAYS
+{
+ *:* :: ""
+} 0
+
+
+
+# These parameters are here for historic reasons only.
+# They might go away in the future. Do not use them.
+
+BOOLEAN out1D_d "do not use this parameter" STEERABLE = ALWAYS
+{
+} "yes"
diff --git a/Carpet/CarpetIOASCII/schedule.ccl b/Carpet/CarpetIOASCII/schedule.ccl
new file mode 100644
index 000000000..9cdfdd7b1
--- /dev/null
+++ b/Carpet/CarpetIOASCII/schedule.ccl
@@ -0,0 +1,16 @@
+# Schedule definitions for thorn CarpetIOASCII
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOASCII/schedule.ccl,v 1.8 2004/06/21 16:07:19 schnetter Exp $
+
+storage: last_output_iteration last_output_time this_iteration
+
+schedule CarpetIOASCIIStartup at STARTUP after IOUtil_Startup
+{
+ LANG: C
+ OPTIONS: global
+} "Startup routine"
+
+schedule CarpetIOASCIIInit at BASEGRID
+{
+ LANG: C
+ OPTIONS: global
+} "Initialisation routine"
diff --git a/Carpet/CarpetIOASCII/src/ioascii.cc b/Carpet/CarpetIOASCII/src/ioascii.cc
new file mode 100644
index 000000000..eb28e27d0
--- /dev/null
+++ b/Carpet/CarpetIOASCII/src/ioascii.cc
@@ -0,0 +1,1181 @@
+#include <assert.h>
+#include <limits.h>
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <sys/stat.h>
+#include <sys/types.h>
+
+#include <fstream>
+#include <iomanip>
+#include <ostream>
+#include <sstream>
+#include <string>
+#include <vector>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "CactusBase/IOUtil/src/ioGH.h"
+
+#include "data.hh"
+#include "dist.hh"
+#include "gdata.hh"
+#include "gf.hh"
+#include "ggf.hh"
+#include "vect.hh"
+
+#include "carpet.hh"
+
+#include "ioascii.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOASCII/src/ioascii.cc,v 1.77 2004/06/23 17:36:41 tradke Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetIOASCII_ioascii_cc);
+}
+
+
+
+// That's a hack
+namespace Carpet {
+ void UnsupportedVarType (const int vindex);
+}
+
+
+
+namespace CarpetIOASCII {
+
+ using namespace std;
+ using namespace Carpet;
+
+ void SetFlag (int index, const char* optstring, void* arg);
+
+
+
+ // Special output routines for complex numbers
+
+#ifdef CCTK_REAL4
+ ostream& operator<< (ostream& os, const CCTK_COMPLEX8& val)
+ {
+ return os << CCTK_Cmplx8Real(val) << " " << CCTK_Cmplx8Imag(val);
+ }
+#endif
+
+#ifdef CCTK_REAL8
+ ostream& operator<< (ostream& os, const CCTK_COMPLEX16& val)
+ {
+ return os << CCTK_Cmplx16Real(val) << " " << CCTK_Cmplx16Imag(val);
+ }
+#endif
+
+#ifdef CCTK_REAL16
+ ostream& operator<< (ostream& os, const CCTK_COMPLEX32& val)
+ {
+ return os << CCTK_Cmplx32Real(val) << " " << CCTK_Cmplx32Imag(val);
+ }
+#endif
+
+
+
+ template<int D,int DD>
+ void WriteASCII (ostream& os,
+ const gdata<D>* const gfdata,
+ const bbox<int,D>& gfext,
+ const int vi,
+ const int time,
+ const vect<int,D>& org,
+ const vect<int,DD>& dirs,
+ const int rl,
+ const int ml,
+ const int m,
+ const int c,
+ const int tl,
+ const CCTK_REAL coord_time,
+ const vect<CCTK_REAL,D>& coord_lower,
+ const vect<CCTK_REAL,D>& coord_upper);
+
+
+
+ int CarpetIOASCIIStartup()
+ {
+ IOASCII<0>::Startup();
+ IOASCII<1>::Startup();
+ IOASCII<2>::Startup();
+ IOASCII<3>::Startup();
+ return 0;
+ }
+
+
+
+ void CarpetIOASCIIInit (CCTK_ARGUMENTS)
+ {
+ DECLARE_CCTK_ARGUMENTS;
+
+ for (int d=0; d<4; ++d) {
+ this_iteration[d] = 0;
+ last_output_iteration[d] = 0;
+ last_output_time[d] = cctk_time;
+ }
+ }
+
+
+
+ // Definition of static members
+ template<int outdim> int IOASCII<outdim>::GHExtension;
+ template<int outdim> int IOASCII<outdim>::IOMethod;
+ template<int outdim> vector<bool> IOASCII<outdim>::do_truncate;
+ template<int outdim>
+ vector<vector<vector<int> > > IOASCII<outdim>::last_output;
+
+
+
+ template<int outdim>
+ int IOASCII<outdim>::Startup()
+ {
+ ostringstream msg;
+ msg << "AMR " << outdim << "D ASCII I/O provided by CarpetIOASCII";
+ CCTK_RegisterBanner (msg.str().c_str());
+
+ ostringstream extension_name;
+ extension_name << "CarpetIOASCII_" << outdim << "D";
+ GHExtension = CCTK_RegisterGHExtension(extension_name.str().c_str());
+ CCTK_RegisterGHExtensionSetupGH (GHExtension, SetupGH);
+
+ ostringstream method_name;
+ method_name << "IOASCII_" << outdim << "D";
+ IOMethod = CCTK_RegisterIOMethod (method_name.str().c_str());
+ CCTK_RegisterIOMethodOutputGH (IOMethod, OutputGH);
+ CCTK_RegisterIOMethodOutputVarAs (IOMethod, OutputVarAs);
+ CCTK_RegisterIOMethodTimeToOutput (IOMethod, TimeToOutput);
+ CCTK_RegisterIOMethodTriggerOutput (IOMethod, TriggerOutput);
+
+ return 0;
+ }
+
+
+
+ template<int outdim>
+ void* IOASCII<outdim>
+ ::SetupGH (tFleshConfig* const fc, const int convLevel, cGH* const cgh)
+ {
+ DECLARE_CCTK_PARAMETERS;
+ const void *dummy;
+
+ dummy = &fc;
+ dummy = &convLevel;
+ dummy = &cgh;
+ dummy = &dummy;
+
+ // Truncate all files if this is not a restart
+ do_truncate.resize(CCTK_NumVars(), true);
+
+ // No iterations have yet been output
+ last_output.resize(mglevels);
+ for (int ml=0; ml<mglevels; ++ml) {
+ last_output.at(ml).resize(maxreflevels);
+ for (int rl=0; rl<maxreflevels; ++rl) {
+ last_output.at(ml).at(rl).resize(CCTK_NumVars(), -1);
+ }
+ }
+
+ // We register only once, ergo we get only one handle. We store
+ // that statically, so there is no need to pass anything to
+ // Cactus.
+ return 0;
+ }
+
+
+
+ template<int outdim>
+ int IOASCII<outdim>
+ ::OutputGH (const cGH* const cgh)
+ {
+ for (int vindex=0; vindex<CCTK_NumVars(); ++vindex) {
+ if (TimeToOutput(cgh, vindex)) {
+ TriggerOutput(cgh, vindex);
+ }
+ }
+ return 0;
+ }
+
+
+
+ template<int outdim>
+ int IOASCII<outdim>
+ ::OutputVarAs (const cGH* const cgh,
+ const char* const varname, const char* const alias)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ assert (is_level_mode());
+
+ const int n = CCTK_VarIndex(varname);
+ if (n<0) {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Variable \"%s\" does not exist", varname);
+ return -1;
+ }
+ assert (n>=0 && n<CCTK_NumVars());
+ const int group = CCTK_GroupIndexFromVarI (n);
+ assert (group>=0 && group<(int)Carpet::arrdata.size());
+ const int n0 = CCTK_FirstVarIndexI(group);
+ assert (n0>=0 && n0<CCTK_NumVars());
+ const int var = n - n0;
+ assert (var>=0 && var<CCTK_NumVarsInGroupI(group));
+ const int num_tl = CCTK_NumTimeLevelsFromVarI(n);
+ assert (num_tl>=1);
+
+ // Check for storage
+ if (! CCTK_QueryGroupStorageI(cgh, group)) {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Cannot output variable \"%s\" because it has no storage",
+ varname);
+ return 0;
+ }
+
+ const int grouptype = CCTK_GroupTypeI(group);
+ switch (grouptype) {
+ case CCTK_SCALAR:
+ case CCTK_ARRAY:
+ assert (do_global_mode);
+ break;
+ case CCTK_GF:
+ /* do nothing */
+ break;
+ default:
+ assert (0);
+ }
+ const int rl = grouptype == CCTK_GF ? reflevel : 0;
+
+ const int groupdim = CCTK_GroupDimI(group);
+ if (outdim > groupdim) {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Cannot produce %dD ASCII output file \"%s\" for variable \"%s\" because it has only %d dimensions", outdim, alias, varname, groupdim);
+ return -1;
+ }
+ assert (outdim <= groupdim);
+
+ // Get grid hierarchy extentsion from IOUtil
+ const ioGH * const iogh = (const ioGH *)CCTK_GHExtension (cgh, "IO");
+ assert (iogh);
+
+ // Create the output directory
+ const char* myoutdir = GetStringParameter("out%dD_dir");
+ if (CCTK_EQUALS(myoutdir, "")) {
+ myoutdir = out_dir;
+ }
+ if (CCTK_MyProc(cgh)==0) {
+ CCTK_CreateDirectory (0755, myoutdir);
+ }
+
+ // Loop over all direction combinations
+ vect<int,outdim> dirs (0);
+
+ bool done;
+ do {
+
+ // Output each combination only once
+ bool ascending = true;
+ for (int d1=0; d1<outdim; ++d1) {
+ for (int d2=d1+1; d2<outdim; ++d2) {
+ ascending = ascending && dirs[d1] < dirs[d2];
+ }
+ }
+
+ // Skip output if the dimensions are not ascending
+ if (ascending) {
+
+ // If this output is desired at all
+ bool desired;
+ switch (outdim) {
+ case 0:
+ // Output is always desired (if switched on)
+ desired = true;
+ break;
+ case 1:
+ switch (dirs[0]) {
+ case 0:
+ desired = out1D_x;
+ break;
+ case 1:
+ desired = out1D_y;
+ break;
+ case 2:
+ desired = out1D_z;
+ break;
+ default:
+ assert (0);
+ }
+ break;
+ case 2:
+ if (dirs[0]==0 && dirs[1]==1) {
+ desired = out2D_xy;
+ } else if (dirs[0]==0 && dirs[1]==2) {
+ desired = out2D_xz;
+ } else if (dirs[0]==1 && dirs[1]==2) {
+ desired = out2D_yz;
+ } else {
+ assert (0);
+ }
+ break;
+ case 3:
+ // Output is always desired (if switched on)
+ desired = true;
+ break;
+ default:
+ assert (0);
+ }
+
+ // Skip output if not desired
+ if (desired) {
+
+ // Traverse all maps on this refinement and multigrid level
+ BEGIN_MAP_LOOP(cgh, grouptype) {
+
+ // Find the output offset
+ ivect offset(0);
+ if (grouptype == CCTK_GF) {
+ switch (outdim) {
+ case 0:
+ offset[0] = GetGridOffset
+ (cgh, 1,
+ "out%dD_point_xi", /*"out_point_xi"*/ NULL,
+ "out%dD_point_x", /*"out_point_x"*/ NULL,
+ /*out_point_x*/ 0.0);
+ offset[1] = GetGridOffset
+ (cgh, 2,
+ "out%dD_point_yi", /*"out_point_yi"*/ NULL,
+ "out%dD_point_y", /*"out_point_y"*/ NULL,
+ /*out_point_y*/ 0.0);
+ offset[2] = GetGridOffset
+ (cgh, 3,
+ "out%dD_point_zi", /*"out_point_zi"*/ NULL,
+ "out%dD_point_z", /*"out_point_z"*/ NULL,
+ /*out_point_z*/ 0.0);
+ break;
+ case 1:
+ switch (dirs[0]) {
+ case 0:
+ offset[1] = GetGridOffset (cgh, 2,
+ "out%dD_xline_yi", "out_xline_yi",
+ "out%dD_xline_y", "out_xline_y",
+ out_xline_y);
+ offset[2] = GetGridOffset (cgh, 3,
+ "out%dD_xline_zi", "out_xline_zi",
+ "out%dD_xline_z", "out_xline_z",
+ out_xline_z);
+ break;
+ case 1:
+ offset[0] = GetGridOffset (cgh, 1,
+ "out%dD_yline_xi", "out_yline_xi",
+ "out%dD_yline_x", "out_yline_x",
+ out_yline_x);
+ offset[2] = GetGridOffset (cgh, 3,
+ "out%dD_yline_zi", "out_yline_zi",
+ "out%dD_yline_z", "out_yline_z",
+ out_yline_z);
+ break;
+ case 2:
+ offset[0] = GetGridOffset (cgh, 1,
+ "out%dD_zline_xi", "out_zline_xi",
+ "out%dD_zline_x", "out_zline_x",
+ out_zline_x);
+ offset[1] = GetGridOffset (cgh, 2,
+ "out%dD_zline_yi", "out_zline_yi",
+ "out%dD_zline_y", "out_zline_y",
+ out_zline_y);
+ break;
+ default:
+ assert (0);
+ }
+ break;
+ case 2:
+ if (dirs[0]==0 && dirs[1]==1) {
+ offset[2] = GetGridOffset
+ (cgh, 3,
+ "out%dD_xyplane_zi", "out_xyplane_zi",
+ "out%dD_xyplane_z", "out_xyplane_z",
+ out_xyplane_z);
+ } else if (dirs[0]==0 && dirs[1]==2) {
+ offset[1] = GetGridOffset
+ (cgh, 2,
+ "out%dD_xzplane_yi", "out_xzplane_yi",
+ "out%dD_xzplane_y", "out_xzplane_y",
+ out_xzplane_y);
+ } else if (dirs[0]==1 && dirs[1]==2) {
+ offset[0] = GetGridOffset
+ (cgh, 1,
+ "out%dD_yzplane_xi", "out_yzplane_xi",
+ "out%dD_yzplane_x", "out_yzplane_x",
+ out_yzplane_x);
+ } else {
+ assert (0);
+ }
+ break;
+ case 3:
+ // The offset doesn't matter in this case
+ break;
+ default:
+ assert (0);
+ }
+ } // if grouptype is GF
+
+ ofstream file;
+ if (CCTK_MyProc(cgh)==0) {
+
+ // Invent a file name
+ ostringstream filenamebuf;
+ if (new_filename_scheme) {
+ filenamebuf << myoutdir << "/" << alias << ".";
+ if (maps > 1) {
+ filenamebuf << Carpet::map << ".";
+ }
+ for (int d=0; d<outdim; ++d) {
+ const char* const coords = "xyz";
+ filenamebuf << coords[dirs[d]];
+ }
+// The offsets differ per level
+// for (int dd=0; dd<groupdim; ++dd) {
+// bool print_dir = true;
+// for (int d=0; d<outdim; ++d) {
+// print_dir = print_dir && dirs[d] != dd;
+// }
+// if (print_dir) {
+// filenamebuf << "." << offset[dd];
+// }
+// }
+ filenamebuf << ".asc";
+ } else {
+ filenamebuf << myoutdir << "/" << alias << ".";
+ if (maps > 1) {
+ filenamebuf << Carpet::map << ".";
+ }
+ for (int d=0; d<outdim; ++d) {
+ assert (dirs[d]>=0 && dirs[d]<3);
+ const char* const coords = "xyz";
+ filenamebuf << coords[dirs[d]];
+ }
+ const char* const suffixes = "plpv";
+ filenamebuf << suffixes[outdim];
+ }
+ // we need a persistent temporary here
+ string filenamestr = filenamebuf.str();
+ const char* const filename = filenamestr.c_str();
+
+ // If this is the first time, then write a nice header
+ if (do_truncate.at(n)) {
+ struct stat fileinfo;
+ if (! iogh->recovered
+ || stat(filename, &fileinfo)!=0) {
+ file.open (filename, ios::out | ios::trunc);
+ if (! file.good()) {
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Could not open output file \"%s\" for variable \"%s\"",
+ filename, varname);
+ }
+ assert (file.good());
+ file << "# " << varname;
+ for (int d=0; d<outdim; ++d) {
+ file << " " << "xyz"[dirs[d]];
+ }
+ file << " (" << alias << ")" << endl;
+ file << "#" << endl;
+ assert (file.good());
+ }
+ }
+
+ // Open the file
+ if (! file.is_open()) {
+ file.open (filename, ios::out | ios::app);
+ assert (file.good());
+ }
+
+ file << setprecision(out_precision);
+ assert (file.good());
+
+ } // if on the root processor
+
+ // Traverse and components on this multigrid and
+ // refinement level and map
+ BEGIN_COMPONENT_LOOP(cgh, grouptype) {
+
+ const ggf<dim>* ff = 0;
+
+ assert (var < (int)arrdata.at(group).at(Carpet::map).data.size());
+ ff = (ggf<dim>*)arrdata.at(group).at(Carpet::map).data.at(var);
+
+ const int mintl = output_all_timelevels ? 1-num_tl : 0;
+ const int maxtl = 0;
+ for (int tl=mintl; tl<=maxtl; ++tl) {
+
+ const gdata<dim>* const data
+ = (*ff) (tl, rl, component, mglevel);
+ ibbox ext = data->extent();
+
+ ivect lo = ext.lower();
+ ivect hi = ext.upper();
+ ivect str = ext.stride();
+
+ // Ignore ghost zones if desired
+ for (int d=0; d<dim; ++d) {
+ bool output_lower_ghosts
+ = cgh->cctk_bbox[2*d] ? out3D_outer_ghosts : out3D_ghosts;
+ bool output_upper_ghosts
+ = cgh->cctk_bbox[2*d+1] ? out3D_outer_ghosts : out3D_ghosts;
+
+ if (! output_lower_ghosts) {
+ lo[d] += cgh->cctk_nghostzones[d] * str[d];
+ }
+ if (! output_upper_ghosts) {
+ hi[d] -= cgh->cctk_nghostzones[d] * str[d];
+ }
+ }
+ ext = ibbox(lo,hi,str);
+
+ // coordinates
+ const CCTK_REAL coord_time = cgh->cctk_time;
+ rvect global_lower;
+ rvect coord_delta;
+ if (grouptype == CCTK_GF) {
+ for (int d=0; d<dim; ++d) {
+ global_lower[d] = cgh->cctk_origin_space[d];
+ coord_delta[d] = cgh->cctk_delta_space[d] / maxreflevelfact;
+ }
+ } else {
+ for (int d=0; d<dim; ++d) {
+ global_lower[d] = 0.0;
+ coord_delta[d] = 1.0;
+ }
+ }
+ const rvect coord_lower
+ = global_lower + coord_delta * rvect(lo);
+ const rvect coord_upper
+ = global_lower + coord_delta * rvect(hi);
+
+ ivect offset1;
+ if (grouptype == CCTK_GF) {
+ const ibbox& baseext = vdd.at(Carpet::map)->bases.at(0).at(mglevel).exterior;
+ offset1 = baseext.lower() + offset * ext.stride();
+ } else {
+ offset1 = offset * ext.stride();
+ }
+ for (int d=0; d<outdim; ++d) {
+ offset1[dirs[d]] = ext.lower()[dirs[d]];
+ }
+
+ WriteASCII (file, data, ext, n, cgh->cctk_iteration,
+ offset1, dirs,
+ rl, mglevel, Carpet::map, component, tl,
+ coord_time, coord_lower, coord_upper);
+
+ // Append EOL after every component
+ if (CCTK_MyProc(cgh)==0) {
+ if (separate_components) {
+ assert (file.good());
+ file << endl;
+ }
+ }
+ assert (file.good());
+
+ } // for tl
+
+ } END_COMPONENT_LOOP;
+
+ // Append EOL after every complete set of components
+ if (CCTK_MyProc(cgh)==0) {
+ if (separate_grids) {
+ assert (file.good());
+ file << endl;
+ }
+ file.close();
+ assert (file.good());
+ }
+
+ assert (! file.is_open());
+
+ } END_MAP_LOOP;
+
+ } // if (desired)
+
+ } // if (ascending)
+
+ // Next direction combination
+ done = true;
+ for (int d=0; d<outdim; ++d) {
+ ++dirs[d];
+ if (dirs[d]<groupdim) {
+ done = false;
+ break;
+ }
+ dirs[d] = 0;
+ }
+
+ } while (! done); // all directions
+
+ // Don't truncate again
+ do_truncate.at(n) = false;
+
+ return 0;
+ }
+
+
+
+ template<int outdim>
+ int IOASCII<outdim>
+ ::TimeToOutput (const cGH* const cctkGH, const int vindex)
+ {
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ assert (vindex>=0 && vindex<CCTK_NumVars());
+
+
+
+ const int grouptype = CCTK_GroupTypeFromVarI(vindex);
+ switch (grouptype) {
+ case CCTK_SCALAR:
+ case CCTK_ARRAY:
+ if (! do_global_mode) return 0;
+ break;
+ case CCTK_GF:
+ // do nothing
+ break;
+ default:
+ assert (0);
+ }
+
+
+
+ // check whether to output at this iteration
+ bool output_this_iteration;
+
+ const char* myoutcriterion = GetStringParameter("out%dD_criterion");
+ if (CCTK_EQUALS(myoutcriterion, "default")) {
+ myoutcriterion = out_criterion;
+ }
+
+ if (CCTK_EQUALS (myoutcriterion, "never")) {
+
+ // Never output
+ output_this_iteration = false;
+
+ } else if (CCTK_EQUALS (myoutcriterion, "iteration")) {
+
+ int myoutevery = GetIntParameter("out%dD_every");
+ if (myoutevery == -2) {
+ myoutevery = out_every;
+ }
+ if (myoutevery <= 0) {
+ // output is disabled
+ output_this_iteration = false;
+ } else if (cctk_iteration == this_iteration[outdim]) {
+ // we already decided to output this iteration
+ output_this_iteration = true;
+ } else if (cctk_iteration
+ >= last_output_iteration[outdim] + myoutevery) {
+ // it is time for the next output
+ output_this_iteration = true;
+ last_output_iteration[outdim] = cctk_iteration;
+ this_iteration[outdim] = cctk_iteration;
+ } else {
+ // we want no output at this iteration
+ output_this_iteration = false;
+ }
+
+ } else if (CCTK_EQUALS (myoutcriterion, "divisor")) {
+
+ int myoutevery = GetIntParameter("out%dD_every");
+ if (myoutevery == -2) {
+ myoutevery = out_every;
+ }
+ if (myoutevery <= 0) {
+ // output is disabled
+ output_this_iteration = false;
+ } else if (cctk_iteration % myoutevery == 0) {
+ // we already decided to output this iteration
+ output_this_iteration = true;
+ } else {
+ // we want no output at this iteration
+ output_this_iteration = false;
+ }
+
+ } else if (CCTK_EQUALS (myoutcriterion, "time")) {
+
+ CCTK_REAL myoutdt = GetRealParameter("out%dD_dt");
+ if (myoutdt == -2) {
+ myoutdt = out_dt;
+ }
+ if (myoutdt < 0) {
+ // output is disabled
+ output_this_iteration = false;
+ } else if (myoutdt == 0) {
+ // output all iterations
+ output_this_iteration = true;
+ } else if (cctk_iteration == this_iteration[outdim]) {
+ // we already decided to output this iteration
+ output_this_iteration = true;
+ } else if (cctk_time / cctk_delta_time
+ >= (last_output_time[outdim] + myoutdt) / cctk_delta_time - 1.0e-12) {
+ // it is time for the next output
+ output_this_iteration = true;
+ last_output_time[outdim] = cctk_time;
+ this_iteration[outdim] = cctk_iteration;
+ } else {
+ // we want no output at this iteration
+ output_this_iteration = false;
+ }
+
+ } else {
+
+ assert (0);
+
+ } // select output criterion
+
+ if (! output_this_iteration) return 0;
+
+
+
+ // check which variables to output
+ static vector<bool> output_variables;
+ static int output_variables_iteration = -1;
+
+ if (cctk_iteration > output_variables_iteration) {
+ output_variables.resize (CCTK_NumVars());
+
+ const char* const varlist = GetStringParameter("out%dD_vars");
+ if (CCTK_TraverseString (varlist, SetFlag, &output_variables,
+ CCTK_GROUP_OR_VAR) < 0)
+ {
+ int abort_on_error = output_variables_iteration < 0 &&
+ strict_io_parameter_check;
+ CCTK_VWarn (abort_on_error ? 0 : 1, __LINE__, __FILE__,CCTK_THORNSTRING,
+ "error while parsing parameter 'IOASCII::out%dD_vars'",
+ outdim);
+ }
+
+ output_variables_iteration = cctk_iteration;
+ }
+
+ if (! output_variables.at(vindex)) return 0;
+
+
+
+ if (last_output.at(mglevel).at(reflevel).at(vindex) == cctk_iteration) {
+ // Has already been output during this iteration
+ char* varname = CCTK_FullName(vindex);
+ CCTK_VWarn (5, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Skipping output for variable \"%s\", because this variable "
+ "has already been output during the current iteration -- "
+ "probably via a trigger during the analysis stage",
+ varname);
+ free (varname);
+ return 0;
+ }
+
+ assert (last_output.at(mglevel).at(reflevel).at(vindex) < cctk_iteration);
+
+ // Should be output during this iteration
+ return 1;
+ }
+
+
+
+ template<int outdim>
+ int IOASCII<outdim>
+ ::TriggerOutput (const cGH* const cgh, const int vindex)
+ {
+ assert (vindex>=0 && vindex<CCTK_NumVars());
+
+ char* varname = CCTK_FullName(vindex);
+ const int retval = OutputVarAs (cgh, varname, CCTK_VarName(vindex));
+ free (varname);
+
+ last_output.at(mglevel).at(reflevel).at(vindex) = cgh->cctk_iteration;
+
+ return retval;
+ }
+
+
+
+ template<int outdim>
+ int IOASCII<outdim>
+ ::GetGridOffset (const cGH* const cgh, const int dir,
+ const char* const itempl, const char* const iglobal,
+ const char* const ctempl, const char* const cglobal,
+ const CCTK_REAL cfallback)
+ {
+ // First choice: explicit coordinate
+ char cparam[1000];
+ snprintf (cparam, sizeof cparam, ctempl, outdim);
+ const int ncparam = CCTK_ParameterQueryTimesSet (cparam, CCTK_THORNSTRING);
+ assert (ncparam >= 0);
+ if (ncparam > 0) {
+ int ptype;
+ const CCTK_REAL* const pcoord
+ = ((const CCTK_REAL*)CCTK_ParameterGet
+ (cparam, CCTK_THORNSTRING, &ptype));
+ assert (pcoord);
+ const CCTK_REAL coord = *pcoord;
+ assert (ptype == PARAMETER_REAL);
+ return CoordToOffset (cgh, dir, coord, 0);
+ }
+
+ // Second choice: explicit index
+ char iparam[1000];
+ snprintf (iparam, sizeof iparam, itempl, outdim);
+ const int niparam = CCTK_ParameterQueryTimesSet (iparam, CCTK_THORNSTRING);
+ assert (niparam >= 0);
+ if (niparam > 0) {
+ int ptype;
+ const int* const pindex
+ = (const int*)CCTK_ParameterGet (iparam, CCTK_THORNSTRING, &ptype);
+ assert (pindex);
+ const int index = *pindex;
+ assert (ptype == PARAMETER_INT);
+ return index;
+ }
+
+ // Third choice: explicit global coordinate
+ const char* iothorn = CCTK_ImplementationThorn ("IO");
+ assert (iothorn);
+ if (cglobal) {
+ const int ncglobal = CCTK_ParameterQueryTimesSet (cglobal, iothorn);
+ assert (ncglobal >= 0);
+ if (ncglobal > 0) {
+ int ptype;
+ const CCTK_REAL* const pcoord
+ = (const CCTK_REAL*)CCTK_ParameterGet (cglobal, iothorn, &ptype);
+ assert (pcoord);
+ const CCTK_REAL coord = *pcoord;
+ assert (ptype == PARAMETER_REAL);
+ return CoordToOffset (cgh, dir, coord, 0);
+ }
+ }
+
+ // Fourth choice: explicit global index
+ if (iglobal) {
+ const int niglobal = CCTK_ParameterQueryTimesSet (iglobal, iothorn);
+ assert (niglobal >= 0);
+ if (niglobal > 0) {
+ int ptype;
+ const int* const pindex
+ = (const int*)CCTK_ParameterGet (iglobal, iothorn, &ptype);
+ assert (pindex);
+ const int index = *pindex;
+ assert (ptype == PARAMETER_INT);
+ return index;
+ }
+ }
+
+ // Fifth choice: default coordinate
+ return CoordToOffset (cgh, dir, cfallback, 0);
+ }
+
+
+
+ template<int outdim>
+ int IOASCII<outdim>
+ ::CoordToOffset (const cGH* cgh, const int dir, const CCTK_REAL coord,
+ const int ifallback)
+ {
+ assert (dir>=1 && dir<=dim);
+
+ assert (mglevel!=-1 && reflevel!=-1 && Carpet::map!=-1);
+
+ const CCTK_REAL delta = cgh->cctk_delta_space[dir-1] / cgh->cctk_levfac[dir-1];
+ const CCTK_REAL lower = cgh->cctk_origin_space[dir-1];
+#if 0
+ const int npoints = cgh->cctk_gsh[dir-1];
+ const CCTK_REAL upper = lower + (npoints-1) * delta;
+#endif
+
+ const CCTK_REAL rindex = (coord - lower) / delta;
+ int cindex = (int)floor(rindex + 0.75);
+
+#if 0
+ if (cindex<0 || cindex>=npoints) {
+ cindex = ifallback;
+
+ assert (dir>=1 && dir<=3);
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "The specified coordinate value %g for the %c-direction is not within the grid range [%g,%g] on convergence level %d, refinement level %d, map %d; using %g instead",
+ coord, "xyz"[dir-1], lower, upper,
+ mglevel, reflevel, Carpet::map, lower + delta * cindex);
+ }
+
+ assert (cindex>=0 && cindex<npoints);
+#else
+ const void *dummy;
+ dummy = &ifallback;
+ dummy = &dummy;
+#endif
+
+ return cindex;
+ }
+
+
+
+ template<int outdim>
+ const char* IOASCII<outdim>
+ ::GetStringParameter (const char* const parametertemplate)
+ {
+ char parametername[1000];
+ snprintf (parametername, sizeof parametername, parametertemplate, outdim);
+ int ptype;
+ const char* const* const ppval = (const char* const*)CCTK_ParameterGet
+ (parametername, CCTK_THORNSTRING, &ptype);
+ assert (ppval);
+ const char* const pval = *ppval;
+ assert (ptype == PARAMETER_STRING || ptype == PARAMETER_KEYWORD);
+ return pval;
+ }
+
+
+
+ template<int outdim>
+ CCTK_INT IOASCII<outdim>
+ ::GetIntParameter (const char* const parametertemplate)
+ {
+ char parametername[1000];
+ snprintf (parametername, sizeof parametername, parametertemplate, outdim);
+ int ptype;
+ const CCTK_INT* const ppval
+ = (const CCTK_INT*)CCTK_ParameterGet
+ (parametername, CCTK_THORNSTRING, &ptype);
+ assert (ppval);
+ assert (ptype == PARAMETER_INT || ptype == PARAMETER_BOOLEAN);
+ const CCTK_INT pval = *ppval;
+ return pval;
+ }
+
+
+
+ template<int outdim>
+ CCTK_REAL IOASCII<outdim>
+ ::GetRealParameter (const char* const parametertemplate)
+ {
+ char parametername[1000];
+ snprintf (parametername, sizeof parametername, parametertemplate, outdim);
+ int ptype;
+ const CCTK_REAL* const ppval
+ = (const CCTK_REAL*)CCTK_ParameterGet
+ (parametername, CCTK_THORNSTRING, &ptype);
+ assert (ppval);
+ assert (ptype == PARAMETER_REAL);
+ const CCTK_REAL pval = *ppval;
+ return pval;
+ }
+
+
+
+ void SetFlag (int index, const char* optstring, void* arg)
+ {
+ optstring = optstring;
+ vector<bool>& flags = *(vector<bool>*)arg;
+ flags.at(index) = true;
+ }
+
+
+
+ // Output
+ template<int D,int DD>
+ void WriteASCII (ostream& os,
+ const gdata<D>* const gfdata,
+ const bbox<int,D>& gfext,
+ const int vi,
+ const int time,
+ const vect<int,D>& org,
+ const vect<int,DD>& dirs,
+ const int rl,
+ const int ml,
+ const int m,
+ const int c,
+ const int tl,
+ const CCTK_REAL coord_time,
+ const vect<CCTK_REAL,D>& coord_lower,
+ const vect<CCTK_REAL,D>& coord_upper)
+ {
+ assert (DD<=D);
+
+ if (gfdata->proc()==0) {
+ // output on processor 0
+
+ int rank;
+ MPI_Comm_rank (dist::comm, &rank);
+ if (rank == 0) {
+
+ assert (os.good());
+
+ os << "# iteration " << time << endl
+ << "# refinement level " << rl
+ << " multigrid level " << ml
+ << " map " << m
+ << " component " << c
+ << " time level " << tl
+ << endl
+ << "# column format: it\ttl rl c ml\t";
+ assert (D>=1 && D<=3);
+ const char* const coords = "xyz";
+ for (int d=0; d<D-1; ++d) os << "i" << coords[d] << " "; os << "i" << coords[D-1];
+ os << "\ttime\t";
+ for (int d=0; d<D-1; ++d) os << coords[d] << " "; os << coords[D-1];
+ os << "\tdata" << endl;
+
+ const vect<int,DD> lo = gfext.lower()[dirs];
+ const vect<int,DD> up = gfext.upper()[dirs];
+ const vect<int,DD> str = gfext.stride()[dirs];
+ const bbox<int,DD> ext(lo,up,str);
+
+ // Check whether the output origin is contained in the extent
+ // of the data that should be output
+ ivect org1(org);
+ for (int d=0; d<DD; ++d) org1[dirs[d]] = ext.lower()[d];
+ if (gfext.contains(org1)) {
+
+ typename bbox<int,DD>::iterator it=ext.begin();
+ do {
+
+ ivect index(org);
+ for (int d=0; d<DD; ++d) index[dirs[d]] = (*it)[d];
+ os << time << "\t" << tl << " " << rl << " " << c << " " << ml
+ << "\t";
+ for (int d=0; d<D-1; ++d) os << index[d] << " "; os << index[D-1];
+ os << "\t" << coord_time << "\t";
+ for (int d=0; d<D; ++d) {
+ assert (gfext.upper()[d] - gfext.lower()[d] >= 0);
+ if (gfext.upper()[d] - gfext.lower()[d] == 0) {
+ os << coord_lower[d];
+ } else {
+ os << (coord_lower[d] + (index[d] - gfext.lower()[d])
+ * (coord_upper[d] - coord_lower[d])
+ / (gfext.upper()[d] - gfext.lower()[d]));
+ }
+ if (d != D-1) os << " ";
+ }
+ os << "\t";
+ switch (CCTK_VarTypeI(vi)) {
+#define TYPECASE(N,T) \
+ case N: \
+ os << (*(const data<T,D>*)gfdata)[index]; \
+ break;
+#include "Carpet/Carpet/src/typecase"
+#undef TYPECASE
+ default:
+ UnsupportedVarType(vi);
+ }
+ os << endl;
+
+ ++it;
+
+ for (int d=0; d<DD; ++d) {
+ if ((*it)[d]!=(*ext.end())[d]) break;
+ os << endl;
+ }
+
+ } while (it!=ext.end());
+
+ } else {
+
+ os << "#" << endl;
+
+ } // if ! ext contains org
+
+ assert (os.good());
+
+ }
+
+ } else {
+ // copy to processor 0 and output there
+
+ gdata<D>* const tmp = gfdata->make_typed(vi);
+ tmp->allocate(gfdata->extent(), 0);
+ for (comm_state<dim> state; !state.done(); state.step()) {
+ tmp->copy_from (state, gfdata, gfdata->extent());
+ }
+ WriteASCII (os, tmp, gfext, vi, time, org, dirs, rl, ml, m, c, tl,
+ coord_time, coord_lower, coord_upper);
+ delete tmp;
+
+ }
+ }
+
+
+
+
+
+ // Explicit instantiation for all output dimensions
+ template class IOASCII<0>;
+ template class IOASCII<1>;
+ template class IOASCII<2>;
+ template class IOASCII<3>;
+
+ template
+ void WriteASCII (ostream& os,
+ const gdata<3>* const gfdata,
+ const bbox<int,3>& gfext,
+ const int vi,
+ const int time,
+ const vect<int,3>& org,
+ const vect<int,0>& dirs,
+ const int rl,
+ const int ml,
+ const int m,
+ const int c,
+ const int tl,
+ const CCTK_REAL coord_time,
+ const vect<CCTK_REAL,3>& coord_lower,
+ const vect<CCTK_REAL,3>& coord_upper);
+
+ template
+ void WriteASCII (ostream& os,
+ const gdata<3>* const gfdata,
+ const bbox<int,3>& gfext,
+ const int vi,
+ const int time,
+ const vect<int,3>& org,
+ const vect<int,1>& dirs,
+ const int rl,
+ const int ml,
+ const int m,
+ const int c,
+ const int tl,
+ const CCTK_REAL coord_time,
+ const vect<CCTK_REAL,3>& coord_lower,
+ const vect<CCTK_REAL,3>& coord_upper);
+
+ template
+ void WriteASCII (ostream& os,
+ const gdata<3>* const gfdata,
+ const bbox<int,3>& gfext,
+ const int vi,
+ const int time,
+ const vect<int,3>& org,
+ const vect<int,2>& dirs,
+ const int rl,
+ const int ml,
+ const int m,
+ const int c,
+ const int tl,
+ const CCTK_REAL coord_time,
+ const vect<CCTK_REAL,3>& coord_lower,
+ const vect<CCTK_REAL,3>& coord_upper);
+
+ template
+ void WriteASCII (ostream& os,
+ const gdata<3>* const gfdata,
+ const bbox<int,3>& gfext,
+ const int vi,
+ const int time,
+ const vect<int,3>& org,
+ const vect<int,3>& dirs,
+ const int rl,
+ const int ml,
+ const int m,
+ const int c,
+ const int tl,
+ const CCTK_REAL coord_time,
+ const vect<CCTK_REAL,3>& coord_lower,
+ const vect<CCTK_REAL,3>& coord_upper);
+
+} // namespace CarpetIOASCII
diff --git a/Carpet/CarpetIOASCII/src/ioascii.h b/Carpet/CarpetIOASCII/src/ioascii.h
new file mode 100644
index 000000000..60c8b9e02
--- /dev/null
+++ b/Carpet/CarpetIOASCII/src/ioascii.h
@@ -0,0 +1,22 @@
+/* $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOASCII/src/ioascii.h,v 1.7 2004/05/21 18:10:37 schnetter Exp $ */
+
+#ifndef CARPETIOASCII_H
+#define CARPETIOASCII_H
+
+#include "cctk_Arguments.h"
+
+#ifdef __cplusplus
+namespace CarpetIOASCII {
+ extern "C" {
+#endif
+
+ /* Scheduled functions */
+ int CarpetIOASCIIStartup (void);
+ void CarpetIOASCIIInit (CCTK_ARGUMENTS);
+
+#ifdef __cplusplus
+ } /* extern "C" */
+} /* namespace CarpetIOASCII */
+#endif
+
+#endif /* !defined(CARPETIOASCII_H) */
diff --git a/Carpet/CarpetIOASCII/src/ioascii.hh b/Carpet/CarpetIOASCII/src/ioascii.hh
new file mode 100644
index 000000000..72ea5b97b
--- /dev/null
+++ b/Carpet/CarpetIOASCII/src/ioascii.hh
@@ -0,0 +1,73 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOASCII/src/ioascii.hh,v 1.16 2004/04/03 12:38:12 schnetter Exp $
+
+#ifndef CARPETIOASCII_HH
+#define CARPETIOASCII_HH
+
+#include <vector>
+
+#include "cctk.h"
+
+#include "ioascii.h"
+
+
+
+namespace CarpetIOASCII {
+
+ using namespace std;
+
+
+
+ // Everything is a class template, so that it can easily be
+ // instantiated for all output dimensions.
+
+ template<int outdim>
+ struct IOASCII {
+
+ // handle from CCTK_RegisterGHExtension
+ static int GHExtension;
+
+ // handles from CCTK_RegisterIOMethed
+ static int IOMethod;
+
+
+
+ // Do truncate the output files for a variable
+ static vector<bool> do_truncate;
+
+ // Last iteration on which a refinement level of a variable was
+ // output (INT_MIN for none)
+ static vector<vector<vector<int> > > last_output; // [ml][rl][var]
+
+
+
+ // scheduled functions
+ static int Startup();
+
+
+
+ // registered functions
+
+ static void* SetupGH (tFleshConfig* fc, int convLevel, cGH* cgh);
+
+ static int OutputGH (const cGH* cgh);
+ static int OutputVarAs (const cGH* cgh,
+ const char* varname, const char* alias);
+ static int TimeToOutput (const cGH* cgh, int vindex);
+ static int TriggerOutput (const cGH* cgh, int vindex);
+
+ static int GetGridOffset (const cGH* cgh, int dir,
+ const char* itempl, const char* iglobal,
+ const char* ctempl, const char* cglobal,
+ CCTK_REAL cfallback);
+ static int CoordToOffset (const cGH* cgh, int dir, CCTK_REAL coord,
+ int ifallback);
+
+ static const char* GetStringParameter (const char* parametertemplate);
+ static CCTK_INT GetIntParameter (const char* parametertemplate);
+ static CCTK_REAL GetRealParameter (const char* parametertemplate);
+
+ }; // struct IOASCII
+
+} // namespace CarpetIOASCII
+
+#endif // !defined(CARPETIOASCII_HH)
diff --git a/Carpet/CarpetIOASCII/src/make.code.defn b/Carpet/CarpetIOASCII/src/make.code.defn
new file mode 100644
index 000000000..e9b78bce0
--- /dev/null
+++ b/Carpet/CarpetIOASCII/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn CarpetIOASCII
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOASCII/src/make.code.defn,v 1.1 2001/03/01 13:40:10 eschnett Exp $
+
+# Source files in this directory
+SRCS = ioascii.cc
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/Carpet/CarpetIOASCII/src/make.configuration.defn b/Carpet/CarpetIOASCII/src/make.configuration.defn
new file mode 100644
index 000000000..939aee820
--- /dev/null
+++ b/Carpet/CarpetIOASCII/src/make.configuration.defn
@@ -0,0 +1,4 @@
+# Main make.configuration.defn file for thorn CarpetIOASCII
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOASCII/src/make.configuration.defn,v 1.1 2002/09/30 15:36:28 schnetter Exp $
+
+ALL_UTILS += carpet2sdf carpet2xgraph
diff --git a/Carpet/CarpetIOASCII/src/make.configuration.deps b/Carpet/CarpetIOASCII/src/make.configuration.deps
new file mode 100644
index 000000000..686ad3112
--- /dev/null
+++ b/Carpet/CarpetIOASCII/src/make.configuration.deps
@@ -0,0 +1,53 @@
+# Main make.configuration.deps file for thorn CarpetIOASCII
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOASCII/src/make.configuration.deps,v 1.1 2002/09/30 15:36:28 schnetter Exp $
+
+
+
+SDF_INCDIRS := $(HOME)/include
+SDF_LIBDIRS := $(HOME)/lib
+SDF_LIBS := rnpl mfhdf df jpeg z vsso sv m
+
+
+
+# Compile
+
+$(BUILD_DIR)$(DIRSEP)CarpetIOASCII$(DIRSEP)%.o: $(PACKAGE_DIR)$(DIRSEP)Carpet$(DIRSEP)CarpetIOASCII$(DIRSEP)src$(DIRSEP)util$(DIRSEP)%.c
+ @echo "Compiling $<"
+ -$(MKDIR) $(MKDIRFLAGS) $(BUILD_DIR)$(DIRSEP)CarpetIOASCII 2> /dev/null
+ $(CC) $< -DCCODE $(CFLAGS) -I$(CONFIG) -I$(BINDINGS_DIR)$(DIRSEP)include -I$(FLESH_DIR)$(DIRSEP)include -I$(CCTK_HOME)$(DIRSEP)arrangement $(CCOMPILEONLY)$(OPTIONSEP)$@
+
+
+
+# Link
+
+$(UTIL_DIR)$(DIRSEP)%: $(BUILD_DIR)$(DIRSEP)CarpetIOASCII$(DIRSEP)%.o
+ @echo "Creating $* in $(UTIL_DIR) from $<"
+ -$(MKDIR) $(MKDIRFLAGS) $(UTIL_DIR) 2> /dev/null
+ $(LD) $(CREATEEXE)$(OPTIONSEP)$@ $(DEBUG_LD) $(LDFLAGS) $(EXTRAFLAGS) $<
+
+
+
+# Special versions for carpet2sdf:
+
+# Compile
+
+$(BUILD_DIR)$(DIRSEP)CarpetIOASCII$(DIRSEP)carpet2sdf.o: $(PACKAGE_DIR)$(DIRSEP)Carpet$(DIRSEP)CarpetIOASCII$(DIRSEP)src$(DIRSEP)util$(DIRSEP)carpet2sdf.c
+ @echo "Compiling carpet2sdf"
+ -$(MKDIR) $(MKDIRFLAGS) $(BUILD_DIR)$(DIRSEP)CarpetIOASCII 2> /dev/null
+ -$(CC) $< -DCCODE $(CFLAGS) -I$(CONFIG) -I$(BINDINGS_DIR)$(DIRSEP)include -I$(FLESH_DIR)$(DIRSEP)include -I$(CCTK_HOME)$(DIRSEP)arrangements -I$(SDF_INCDIRS:%=-I%) $(CCOMPILEONLY)$(OPTIONSEP)$@
+
+
+
+# Link
+
+$(UTIL_DIR)$(DIRSEP)carpet2sdf: $(BUILD_DIR)$(DIRSEP)CarpetIOASCII$(DIRSEP)carpet2sdf.o
+ @echo "Creating $* in $(UTIL_DIR) from $<"
+ -$(MKDIR) $(MKDIRFLAGS) $(UTIL_DIR) 2> /dev/null
+ -$(LD) $(CREATEEXE)$(OPTIONSEP)$@ $(DEBUG_LD) $(LDFLAGS) $(EXTRAFLAGS) $< $(SDF_LIBDIRS:%=-L%) $(SDF_LIBS:%=-l%)
+ @if [ ! -e $(UTIL_DIR)$(DIRSEP)/carpet2sdf ]; then \
+ echo "*************************************"; \
+ echo "Warning: could not install carpet2sdf"; \
+ echo "*************************************"; \
+ echo "echo \"carpet2sdf could not be installed\"" > $@; \
+ chmod a+x $@; \
+ fi
diff --git a/Carpet/CarpetIOASCII/src/util/Carpet2ygraph.pl b/Carpet/CarpetIOASCII/src/util/Carpet2ygraph.pl
new file mode 100755
index 000000000..0f49aaf01
--- /dev/null
+++ b/Carpet/CarpetIOASCII/src/util/Carpet2ygraph.pl
@@ -0,0 +1,121 @@
+#! /usr/bin/perl -s
+#
+# Blame Ian Hawke for not checking that Scott had already written a C
+# program to do this add so writing a perl version instead
+#
+# Given an output file in CarpetIOASCII 1d format, strip to ygraph format.
+# The arguments should be direction (x=0,y=1,z=2) and filename.
+# Output is to a file. Only the base name should be given.
+# The base will be appended with _<level>.xg
+#
+# Example:
+#
+# Carpet2ygraph.pl 0 alp.xl alp_x
+#
+# produces alp_x_<d>.xg where <d> is the refinement level.
+#
+# The headers of the Carpet files are just copied with the addition of
+# the correct time for ygraph, and the different comment marker.
+#
+# This script is a much altered version of Tom Goodale's convergence
+# testing scripts.
+#
+
+use FileHandle;
+
+if(@ARGV != 3)
+{
+ print "Usage: $0 direction <Inputfile> <Outputfile> \n";
+ exit;
+}
+
+open(CARPETFILE, "<$ARGV[1]") || die "Unable to find file \"$ARGV[1]\".";
+
+#
+# Open the output file for the base grid.
+#
+
+$file = $ARGV[2]."_0.xg";
+my $fh = new FileHandle(">$file") || die "Unable to open file \"$file\".";
+push(@outputfilelist,$fh);
+
+#
+# Find the correct column for the spatial coordinate; requires a magic number
+#
+
+$direction = $ARGV[0]+9;
+
+$flag = 0;
+$timeset = 0;
+$refinementlevel = 0;
+$componentflag[0] = 0;
+while (<CARPETFILE>)
+{
+ $line = $_;
+
+ if(/^\#/) # The line is a header comment
+ {
+ if ($flag==1) # It's a new level and there is data to output
+ {
+ $fh = $outputfilelist[$refinementlevel];
+ print $fh @outputdata;
+ @outputdata=("\n");
+ $flag = 0;
+ }
+ if ($line =~ /refinement level ([0-9])/) # Line gives ref. level
+ {
+ $refinementlevel = $1;
+ $line =~ /component ([0-9+])/;
+ $componentflag[$refinementlevel] = $1; # Which component?
+
+ #
+ # If no file exists for this refinement level,
+ # open and add filehandle to array
+ #
+
+ if ($refinementlevel > $#outputfilelist)
+ {
+ for ($i = $#outputfileflist+1; $i < $refinementlevel+1; $i++)
+ {
+ $file = $ARGV[2]."_".$i.".xg";
+ my $fh = new FileHandle(">$file") || die "Unable to open file \"$file\".";
+ $outputfilelist[$i]=$fh;
+ }
+ }
+ }
+ # Only output the headers if this is the zero component
+ # FIXME: what happens if component 0 isn't output first?
+ if (0 == $componentflag[$refinementlevel])
+ {
+ push(@outputdata, ("\"",$line)); # Add ygraph comment marker
+ }
+ else
+ {
+ $flag = 1;
+ @outputdata=("");
+ }
+ }
+ else # The line contains real data
+ {
+ @data = split(/ \t]+/,$line);
+ if ($flag== 0) # This is the first line of data
+ {
+ $flag = 1;
+ $timeset = $data[8]; # Magic number gives the Cactus time
+ @outputdata = ("\n\"Time = ",$timeset,@outputdata);
+ }
+ push(@outputdata, $data[$direction], " ", $data[12]);
+ }
+}
+
+#
+# At end of file, so output final data set.
+#
+
+$fh = $outputfilelist[$refinementlevel];
+print $fh @outputdata;
+
+foreach $fh (@outputfilelist)
+{
+ close($fh);
+}
diff --git a/Carpet/CarpetIOASCII/src/util/Carpet2ygraphCat.pl b/Carpet/CarpetIOASCII/src/util/Carpet2ygraphCat.pl
new file mode 100755
index 000000000..669c8e64b
--- /dev/null
+++ b/Carpet/CarpetIOASCII/src/util/Carpet2ygraphCat.pl
@@ -0,0 +1,105 @@
+#! /usr/bin/perl -s
+
+use FileHandle;
+
+if(@ARGV != 3)
+{
+ print "Usage: $0 direction <Inputfile> <Outputfile> \n";
+ exit;
+}
+
+open(CARPETFILE, "<$ARGV[1]") || die "Unable to find file \"$ARGV[1]\".";
+
+$file = $ARGV[2].".xg";
+my $fh = new FileHandle(">$file") || die "Unable to open file \"$file\".";
+
+my %data;
+my $time = -1;
+my $new = 0;
+my $currentit = -1;
+my $lastit = -1;
+
+my @datatoprint;
+my $nsets = 1;
+my $maxlength = 0;
+my @lengths;
+
+$lengths[0]=0;
+while (<CARPETFILE>)
+{
+ $line = $_;
+ if ($line =~ "iteration") {
+ @itline = split(/ +/,$line);
+ $currentit = @itline[2];
+ }
+ elsif ($line =~ /^#/)
+ {
+ #Do nothing for headers!
+ }
+ elsif ($line =~ /([0-9+-ed.]+)*/)
+ {
+ @dataline = split(/[ \t]+/,$line);
+ if ($currentit != $lastit)
+ {
+ if ($new)
+ {
+ push(@datatoprint,"\n\n\"Time = ".$time."\n");
+ my @sortedcoords = sort numerically (keys %data);
+ my $localcoord;
+ foreach $localcoord (@sortedcoords)
+ {
+ push(@datatoprint, $localcoord." ".$data{$localcoord});
+ }
+ $maxlength = $maxlength > (scalar @sortedcoords) ? $maxlength : (scalar @sortedcoords);
+ $lengths[$nsets-1]=(scalar @sortedcoords);
+ $nsets++;
+ $lengths[$nsets-1]=0;
+ %data=();
+ }
+ $new++;
+ $time = $dataline[8];
+ $lastit = $currentit;
+ }
+ my $coord = $dataline[9+$ARGV[0]];
+ my $val = $dataline[12];
+ $data{$coord} = $val;
+ }
+}
+push(@datatoprint, "\n\"Time = ",$time,"\n");
+my @sortedcoords = sort numerically (keys %data);
+my $localcoord;
+foreach $localcoord (@sortedcoords)
+{
+ push(@datatoprint, $localcoord." ".$data{$localcoord});
+}
+$maxlength = $maxlength > (scalar @sortedcoords) ? $maxlength : (scalar @sortedcoords);
+$lengths[$nsets-1]=(scalar @sortedcoords);
+$nsets++;
+$lengths[$nsets-1]=0;
+
+my $oldline="";
+$nouts=0;
+my $set=0;
+foreach $line (@datatoprint) {
+ if ($line =~ "Time") {
+ if ($oldline) {
+ for (my $i=$lengths[$set-1]; $i<$maxlength;$i++) {
+ $nouts++;
+ print $fh $oldline;
+ }
+ }
+ $set++;
+ print $fh $line;
+ }
+ else {
+ $nouts++;
+ print $fh $line;
+ $oldline=$line
+ }
+}
+for (my $i=$lengths[$set-1]; $i<$maxlength;$i++) {
+ $nouts++;
+ print $fh $oldline;
+}
+
+sub numerically {$a <=> $b;}
diff --git a/Carpet/CarpetIOASCII/src/util/carpet2sdf.c b/Carpet/CarpetIOASCII/src/util/carpet2sdf.c
new file mode 100644
index 000000000..a8abe71d0
--- /dev/null
+++ b/Carpet/CarpetIOASCII/src/util/carpet2sdf.c
@@ -0,0 +1,167 @@
+
+/*******************************************************************
+ * Program: carpet2sdf
+ * Description: Converts from Carpet ASCII file format to SDF format
+ * Author: Scott H. Hawley
+ * Date: June 17, 2002
+ *
+ * Similar to carpet2sdf, except that instead of sending output to
+ * sdtout, it sends it to <infile>.sdf
+ *******************************************************************/
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <bbhutil.h>
+
+
+/*******************************************************************
+ * Function: read_next_set
+ * Supposed to read one time step of data (for one level of refinement)
+ *******************************************************************/
+int read_next_set(FILE *infile, int rlev, int *numelems,
+ double *time,
+ double **coord, double **data, int clip_data, double clip_val)
+{
+ char in_line[200];
+ int it,tl,rl,c,ml,ix,iy,iz;
+ double xval, yval, zval;
+ double coordval, dataval;
+ int hit_first_non_blank = 0;
+ int stop_reading = 0;
+ int retval = 0;
+ int rc = 0;
+
+ *numelems = 0;
+ sprintf(in_line," ");
+
+ /* reads up to first blank line after non-blank lines, or up to
+ * eof */
+ while ((fgets(in_line,200,infile) != NULL) && (!stop_reading) ) {
+
+ if (in_line[0]=='#') {
+ hit_first_non_blank = 1;
+
+ } else if ((strncmp("\n",in_line,2)==0) ||
+ (in_line[0]==' ')) {
+ if (hit_first_non_blank) {
+ stop_reading = 1;
+ }
+
+ } else { /* Assume that we're dealing with a line of numbers */
+ hit_first_non_blank = 1;
+ retval = sscanf(in_line,"%d %d %d %d %d %d %d %d %lg %lg %lg %lg %lg",
+ &it,&tl,&rl,&c,&ml,&ix,&iy,&iz,time,&xval,&yval,&zval,&dataval);
+ coordval = xval;
+
+ /* Only add input to arrays if it's for the right ref. level */
+ if ( (retval == 13) && (rl == rlev)) {
+ (*numelems)++;
+
+ if (coord==NULL) {
+ *coord = (double *)malloc(sizeof(double)* (*numelems));
+ *data = (double *)malloc(sizeof(double)* (*numelems));
+ } else {
+ *coord = (double *)realloc(*coord, sizeof(double)* (*numelems));
+ *data = (double *)realloc(*data, sizeof(double)* (*numelems));
+ }
+ if (coord==NULL) {
+ fprintf(stderr,"Error: malloc/realloc returned NULL\n");
+ exit(1);
+ }
+
+ (*coord)[(*numelems)-1] = coordval;
+
+ /* If desired, "clip" data above a certain value */
+ if (clip_data && (dataval > clip_val)) {
+ (*data)[(*numelems)-1] = clip_val;
+ } else {
+ (*data)[(*numelems)-1] = dataval;
+ }
+
+ }
+
+ }
+
+ }
+ rc = feof(infile);
+
+ return rc;
+}
+
+
+/********************************************************************
+ * Main part of program
+ ********************************************************************/
+int main(int argc, char **argv)
+{
+ char *infilename;
+ FILE *infile;
+
+ char func_name[200];
+ double time;
+ int shape[1];
+ double bounds[2];
+ int rank = 1;
+ int numelems_in_set = 0;
+ int rlev = 0;
+ double *coord, *data;
+ int clip_data = 0;
+ double clip_val;
+
+
+ /*
+ * Parse command-line arguments
+ */
+ if (argc <= 1) {
+ fprintf(stderr,"usage: carpet2sdf <infile> [ref_lev] [clip_data_at]\n");
+ exit(1);
+ }
+ if (argc >= 3) {
+ sscanf(argv[2],"%d",&rlev);
+ }
+ if (argc >= 4) {
+ sscanf(argv[3],"%lf",&clip_val);
+ clip_data = 1;
+ }
+
+ /*
+ * Open the input file
+ */
+ infilename = argv[1];
+ infile = fopen(infilename,"r");
+ if (infile == NULL) {
+ fprintf(stderr,"Error opening file '%s'.\n",infilename);
+ exit(1);
+ }
+
+
+ time = 0;
+ coord = NULL;
+ data = NULL;
+ sprintf(func_name,"%s_%d",infilename,rlev);
+
+ /*
+ * Main loop for reading from input file and writing to output file
+ */
+ while ( read_next_set(infile,rlev,&numelems_in_set,&time,&coord,&data,
+ clip_data, clip_val) == 0 ) {
+ if (numelems_in_set > 0) {
+
+ shape[0] = numelems_in_set;
+ bounds[0] = coord[0];
+ bounds[1] = coord[numelems_in_set-1];
+
+ gft_out_bbox(func_name, time, shape, rank, bounds, data);
+
+ free(coord);
+ free(data);
+ coord = NULL;
+ data = NULL;
+
+ }
+ }
+
+ return 0;
+}
+
diff --git a/Carpet/CarpetIOASCII/src/util/carpet2xgraph.c b/Carpet/CarpetIOASCII/src/util/carpet2xgraph.c
new file mode 100644
index 000000000..61dfa689b
--- /dev/null
+++ b/Carpet/CarpetIOASCII/src/util/carpet2xgraph.c
@@ -0,0 +1,186 @@
+
+/*******************************************************************
+ * Program: carpet2xgraph
+ * Description: Converts from Carpet ASCII file format to Xgraph format
+ * Author: Scott H. Hawley
+ * Date: June 17, 2002
+ *
+ * This will select the data for ONE REFINEMENT LEVEL (default 0)
+ * and send the result to stdout. The "xgraph format" data is
+ * not, however, fully annotated and someone may wish to improve
+ * this.
+ *
+ * The [clip_data_at] command-line argument was added for use with
+ * 1/r data, to replace the infinities at the origin with whatever
+ * value the user specifies.
+ *******************************************************************/
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+
+
+/*******************************************************************
+ * Function: read_next_set
+ * Supposed to read one time step of data (for one level of refinement)
+ *******************************************************************/
+int read_next_set(FILE *infile, int rlev, int *numelems,
+ double *time,
+ double **coord, double **data, int clip_data, double clip_val)
+{
+ char in_line[200];
+ int it,tl,rl,c,ml,ix,iy,iz;
+ double xval, yval, zval;
+ double coordval, dataval;
+ int hit_first_non_blank = 0;
+ int stop_reading = 0;
+ int retval = 0;
+ int rc = 0;
+
+ *numelems = 0;
+ sprintf(in_line," ");
+
+ /* reads up to first blank line after non-blank lines, or up to
+ * eof */
+ while ((fgets(in_line,200,infile) != NULL) && (!stop_reading) ) {
+
+ if (in_line[0]=='#') {
+ hit_first_non_blank = 1;
+
+ } else if ((strncmp("\n",in_line,2)==0) ||
+ (in_line[0]==' ')) {
+ if (hit_first_non_blank) {
+ stop_reading = 1;
+ }
+
+ } else { /* Assume that we're dealing with a line of numbers */
+ hit_first_non_blank = 1;
+ retval = sscanf(in_line,"%d %d %d %d %d %d %d %d %lg %lg %lg %lg %lg",
+ &it,&tl,&rl,&c,&ml,&ix,&iy,&iz,time,&xval,&yval,&zval,&dataval);
+ coordval = xval;
+
+ /* Only add input to arrays if it's for the right ref. level */
+ if ( (retval == 13) && (rl == rlev)) {
+ (*numelems)++;
+
+ if (coord==NULL) {
+ *coord = (double *)malloc(sizeof(double)* (*numelems));
+ *data = (double *)malloc(sizeof(double)* (*numelems));
+ } else {
+ *coord = (double *)realloc(*coord, sizeof(double)* (*numelems));
+ *data = (double *)realloc(*data, sizeof(double)* (*numelems));
+ }
+ if (coord==NULL) {
+ fprintf(stderr,"Error: malloc/realloc returned NULL\n");
+ exit(1);
+ }
+
+ (*coord)[(*numelems)-1] = coordval;
+
+ /* If desired, "clip" data above a certain value */
+ if (clip_data && (dataval > clip_val)) {
+ (*data)[(*numelems)-1] = clip_val;
+ } else {
+ (*data)[(*numelems)-1] = dataval;
+ }
+
+ }
+
+ }
+
+ }
+ rc = feof(infile);
+
+ return rc;
+}
+
+
+/********************************************************************
+ * Main part of program
+ ********************************************************************/
+int main(int argc, char **argv)
+{
+ char *infilename;
+ FILE *infile;
+
+ char func_name[200];
+ double time;
+ int numelems_in_set = 0;
+ int rlev = 0;
+ double *coord, *data;
+ int clip_data = 0;
+ double clip_val;
+ int i;
+
+
+ /*
+ * Parse command-line arguments
+ */
+ if (argc <= 1) {
+ fprintf(stderr," input from stdin... invoke carpet2xgraph -h for help\n");
+ } else if (strcmp(argv[1],"-h")==0) {
+ fprintf(stderr,"usage: cat file | carpet2xgraph [name_tag] [ref_lev] [clip_data_at]\n");
+ exit(1);
+ }
+
+ if (argc >= 2) {
+ infilename = argv[1];
+ } else {
+ infilename = "stdin";
+ }
+ if (argc >= 3) {
+ sscanf(argv[2],"%d",&rlev);
+ }
+ if (argc >= 4) {
+ sscanf(argv[3],"%lf",&clip_val);
+ clip_data = 1;
+ }
+
+ /*
+ * Open the input file
+ */
+ infile = stdin;
+
+ /*
+ infile = fopen(infilename,"r");
+ if (infile == NULL) {
+ fprintf(stderr,"Error opening file '%s'.\n",infilename);
+ exit(1);
+ }
+ */
+
+
+ time = 0;
+ coord = NULL;
+ data = NULL;
+ sprintf(func_name,"%s_%d",infilename,rlev);
+
+ printf("\"x-label x\n");
+ printf("\"y-label %s\n\n\n",infilename);
+ printf("\"label = %s\n\n\n",infilename);
+
+ /*
+ * Main loop for reading from input file and writing to output file
+ */
+ while ( read_next_set(infile,rlev,&numelems_in_set,&time,&coord,&data,
+ clip_data, clip_val) == 0 ) {
+ if (numelems_in_set > 0) {
+
+ /* xgraph format */
+ printf("\"Time = %g\n",time);
+ for (i=0; i<numelems_in_set; i++) {
+ printf("%g %17.14g\n",coord[i],data[i]);
+ }
+ printf("\n\n");
+
+ free(coord);
+ free(data);
+ coord = NULL;
+ data = NULL;
+
+ }
+ }
+
+ return 0;
+}
+
diff --git a/Carpet/CarpetIOHDF5/COPYING b/Carpet/CarpetIOHDF5/COPYING
new file mode 100644
index 000000000..1942c4334
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/COPYING
@@ -0,0 +1,341 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 59 Temple Place - Suite 330
+ Boston, MA 02111-1307, USA.
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
+
+ The licenses for most software are designed to take away your
+freedom to share and change it. By contrast, the GNU General Public
+License is intended to guarantee your freedom to share and change free
+software--to make sure the software is free for all its users. This
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+Foundation's software and to any other program whose authors commit to
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+your programs, too.
+
+ When we speak of free software, we are referring to freedom, not
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+These restrictions translate to certain responsibilities for you if you
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+
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+that everyone understands that there is no warranty for this free
+software. If the software is modified by someone else and passed on, we
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+that any problems introduced by others will not reflect on the original
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+
+ Finally, any free program is threatened constantly by software
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+ The precise terms and conditions for copying, distribution and
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+
+ GNU GENERAL PUBLIC LICENSE
+ TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
+
+ 0. This License applies to any program or other work which contains
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+under the terms of this General Public License. The "Program", below,
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+means either the Program or any derivative work under copyright law:
+that is to say, a work containing the Program or a portion of it,
+either verbatim or with modifications and/or translated into another
+language. (Hereinafter, translation is included without limitation in
+the term "modification".) Each licensee is addressed as "you".
+
+Activities other than copying, distribution and modification are not
+covered by this License; they are outside its scope. The act of
+running the Program is not restricted, and the output from the Program
+is covered only if its contents constitute a work based on the
+Program (independent of having been made by running the Program).
+Whether that is true depends on what the Program does.
+
+ 1. You may copy and distribute verbatim copies of the Program's
+source code as you receive it, in any medium, provided that you
+conspicuously and appropriately publish on each copy an appropriate
+copyright notice and disclaimer of warranty; keep intact all the
+notices that refer to this License and to the absence of any warranty;
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+along with the Program.
+
+You may charge a fee for the physical act of transferring a copy, and
+you may at your option offer warranty protection in exchange for a fee.
+
+ 2. You may modify your copy or copies of the Program or any portion
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+ part thereof, to be licensed as a whole at no charge to all third
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+ c) If the modified program normally reads commands interactively
+ when run, you must cause it, when started running for such
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+
+These requirements apply to the modified work as a whole. If
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+sections when you distribute them as separate works. But when you
+distribute the same sections as part of a whole which is a work based
+on the Program, the distribution of the whole must be on the terms of
+this License, whose permissions for other licensees extend to the
+entire whole, and thus to each and every part regardless of who wrote it.
+
+Thus, it is not the intent of this section to claim rights or contest
+your rights to work written entirely by you; rather, the intent is to
+exercise the right to control the distribution of derivative or
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+
+In addition, mere aggregation of another work not based on the Program
+with the Program (or with a work based on the Program) on a volume of
+a storage or distribution medium does not bring the other work under
+the scope of this License.
+
+ 3. You may copy and distribute the Program (or a work based on it,
+under Section 2) in object code or executable form under the terms of
+Sections 1 and 2 above provided that you also do one of the following:
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+ a) Accompany it with the complete corresponding machine-readable
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+
+ 5. You are not required to accept this License, since you have not
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+prohibited by law if you do not accept this License. Therefore, by
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+ 6. Each time you redistribute the Program (or any work based on the
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+
+ 7. If, as a consequence of a court judgment or allegation of patent
+infringement or for any other reason (not limited to patent issues),
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+If any portion of this section is held invalid or unenforceable under
+any particular circumstance, the balance of the section is intended to
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+
+It is not the purpose of this section to induce you to infringe any
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+to distribute software through any other system and a licensee cannot
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+
+This section is intended to make thoroughly clear what is believed to
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+ 8. If the distribution and/or use of the Program is restricted in
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+original copyright holder who places the Program under this License
+may add an explicit geographical distribution limitation excluding
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+countries not thus excluded. In such case, this License incorporates
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+
+ 9. The Free Software Foundation may publish revised and/or new versions
+of the General Public License from time to time. Such new versions will
+be similar in spirit to the present version, but may differ in detail to
+address new problems or concerns.
+
+Each version is given a distinguishing version number. If the Program
+specifies a version number of this License which applies to it and "any
+later version", you have the option of following the terms and conditions
+either of that version or of any later version published by the Free
+Software Foundation. If the Program does not specify a version number of
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+Foundation.
+
+ 10. If you wish to incorporate parts of the Program into other free
+programs whose distribution conditions are different, write to the author
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+of preserving the free status of all derivatives of our free software and
+of promoting the sharing and reuse of software generally.
+
+ NO WARRANTY
+
+ 11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
+FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN
+OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
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+
+ 12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
+REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,
+INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING
+OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED
+TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
+YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
+PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
+POSSIBILITY OF SUCH DAMAGES.
+
+ END OF TERMS AND CONDITIONS
+
+ How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+ To do so, attach the following notices to the program. It is safest
+to attach them to the start of each source file to most effectively
+convey the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+ <one line to give the program's name and a brief idea of what it does.>
+ Copyright (C) 19yy <name of author>
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation; either version 2 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program; see the file COPYING. If not, write to
+ the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA.
+
+Also add information on how to contact you by electronic and paper mail.
+
+If the program is interactive, make it output a short notice like this
+when it starts in an interactive mode:
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+ Gnomovision version 69, Copyright (C) 19yy name of author
+ Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+ This is free software, and you are welcome to redistribute it
+ under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License. Of course, the commands you use may
+be called something other than `show w' and `show c'; they could even be
+mouse-clicks or menu items--whatever suits your program.
+
+You should also get your employer (if you work as a programmer) or your
+school, if any, to sign a "copyright disclaimer" for the program, if
+necessary. Here is a sample; alter the names:
+
+ Yoyodyne, Inc., hereby disclaims all copyright interest in the program
+ `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+ <signature of Ty Coon>, 1 April 1989
+ Ty Coon, President of Vice
+
+This General Public License does not permit incorporating your program into
+proprietary programs. If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library. If this is what you want to do, use the GNU Library General
+Public License instead of this License.
diff --git a/Carpet/CarpetIOHDF5/README b/Carpet/CarpetIOHDF5/README
new file mode 100644
index 000000000..64520a2da
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/README
@@ -0,0 +1,8 @@
+Cactus Code Thorn CarpetIOHDF5
+Authors : Erik Schnetter <schnetter@aei.mpg.de>
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOHDF5/README,v 1.1 2004/03/03 09:44:59 schnetter Exp $
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+This thorn provides HDF5 based file I/O for Carpet.
diff --git a/Carpet/CarpetIOHDF5/configuration.ccl b/Carpet/CarpetIOHDF5/configuration.ccl
new file mode 100644
index 000000000..0323a73bd
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/configuration.ccl
@@ -0,0 +1,6 @@
+# Configuration definitions for thorn CarpetIOHDF5
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOHDF5/configuration.ccl,v 1.3 2004/06/08 21:09:25 schnetter Exp $
+
+REQUIRES Carpet CarpetLib IOUtil
+
+REQUIRES THORNS: Carpet CarpetLib IOUtil
diff --git a/Carpet/CarpetIOHDF5/doc/documentation.tex b/Carpet/CarpetIOHDF5/doc/documentation.tex
new file mode 100644
index 000000000..b07dd73d1
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/doc/documentation.tex
@@ -0,0 +1,314 @@
+% *======================================================================*
+% Cactus Thorn template for ThornGuide documentation
+% Author: Ian Kelley
+% Date: Sun Jun 02, 2002
+% $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOHDF5/doc/documentation.tex,v 1.4 2004/06/22 11:56:20 tradke Exp $
+%
+% Thorn documentation in the latex file doc/documentation.tex
+% will be included in ThornGuides built with the Cactus make system.
+% The scripts employed by the make system automatically include
+% pages about variables, parameters and scheduling parsed from the
+% relevent thorn CCL files.
+%
+% This template contains guidelines which help to assure that your
+% documentation will be correctly added to ThornGuides. More
+% information is available in the Cactus UsersGuide.
+%
+% Guidelines:
+% - Do not change anything before the line
+% % START CACTUS THORNGUIDE",
+% except for filling in the title, author, date etc. fields.
+% - Each of these fields should only be on ONE line.
+% - Author names should be sparated with a \\ or a comma
+% - You can define your own macros are OK, but they must appear after
+% the START CACTUS THORNGUIDE line, and do not redefine standard
+% latex commands.
+% - To avoid name clashes with other thorns, 'labels', 'citations',
+% 'references', and 'image' names should conform to the following
+% convention:
+% ARRANGEMENT_THORN_LABEL
+% For example, an image wave.eps in the arrangement CactusWave and
+% thorn WaveToyC should be renamed to CactusWave_WaveToyC_wave.eps
+% - Graphics should only be included using the graphix package.
+% More specifically, with the "includegraphics" command. Do
+% not specify any graphic file extensions in your .tex file. This
+% will allow us (later) to create a PDF version of the ThornGuide
+% via pdflatex. |
+% - References should be included with the latex "bibitem" command.
+% - use \begin{abstract}...\end{abstract} instead of \abstract{...}
+% - For the benefit of our Perl scripts, and for future extensions,
+% please use simple latex.
+%
+% *======================================================================*
+%
+% Example of including a graphic image:
+% \begin{figure}[ht]
+% \begin{center}
+% \includegraphics[width=6cm]{MyArrangement_MyThorn_MyFigure}
+% \end{center}
+% \caption{Illustration of this and that}
+% \label{MyArrangement_MyThorn_MyLabel}
+% \end{figure}
+%
+% Example of using a label:
+% \label{MyArrangement_MyThorn_MyLabel}
+%
+% Example of a citation:
+% \cite{MyArrangement_MyThorn_Author99}
+%
+% Example of including a reference
+% \bibitem{MyArrangement_MyThorn_Author99}
+% {J. Author, {\em The Title of the Book, Journal, or periodical}, 1 (1999),
+% 1--16. {\tt http://www.nowhere.com/}}
+%
+% *======================================================================*
+
+% If you are using CVS use this line to give version information
+% $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOHDF5/doc/documentation.tex,v 1.4 2004/06/22 11:56:20 tradke Exp $
+
+\documentclass{article}
+
+% Use the Cactus ThornGuide style file
+% (Automatically used from Cactus distribution, if you have a
+% thorn without the Cactus Flesh download this from the Cactus
+% homepage at www.cactuscode.org)
+\usepackage{../../../../doc/ThornGuide/cactus}
+
+\begin{document}
+
+% The author of the documentation
+\author{Erik Schnetter $<$schnetter@uni-tuebingen.de$>$, Christian D. Ott $<$cott@aei.mpg.de$>$}
+
+% The title of the document (not necessarily the name of the Thorn)
+\title{CarpetIOHDF5}
+
+% the date your document was last changed, if your document is in CVS,
+% please use:
+% \date{$ $Date: 2004/06/22 11:56:20 $ $}
+\date{March 18, 2004}
+
+\maketitle
+
+% Do not delete next line
+% START CACTUS THORNGUIDE
+
+% Add all definitions used in this documentation here
+% \def\mydef etc
+
+% Add an abstract for this thorn's documentation
+\begin{abstract}
+CarpetIOHDF5 provides HDF5 based 3-D output to the Cactus mesh refinement driver Carpet.
+This document explains CarpetIOHDF5's usage and contains a specification of the
+CarpetIOHDF5 file format that was adapted from John Shalf's FlexIO library.
+\end{abstract}
+
+% The following sections are suggestive only.
+% Remove them or add your own.
+
+\section{Introduction}
+
+Having encountered various problems with CarpetIOFlexIO and the underlying FlexIO library,
+Erik Schnetter decided to create CarpetIOHDF5. CarpetIOHDF5 provides 3-D output for the
+Carpet Mesh Refinement driver within the Cactus Code. Christian D. Ott added
+file reader (analogous to Erik Schnetter's implementation present in CarpetIOFlexIO)
+and checkpoint/recovery features to CarpetIOHDF5.
+
+Right now, CarpetIOHDF5 only uses serial I/O - all data are copied to processor 0 for I/O.
+
+This document aims at giving the user a first handle on how to use
+CarpetIOHDF5. It also documents the HDF5 file layout used.
+
+
+\section{Using This Thorn}
+
+
+\subsection{Obtaining This Thorn}
+
+You can get a checkout from
+
+{\tt cvs.carpetcode.org:/home/cvs Carpet/CarpetIOHDF5}
+
+\subsection{Basic Usage}
+
+First, you have to activate the thorn in your Cactus parameter file:
+
+{\tt ActiveThorns = "CarpetIOHDF5"}
+
+\subsubsection{3-D Output}
+
+\begin{itemize}
+ \item {\tt iohdf5::out3D\_vars = "your list of Cactus grid functions to output"}
+ \item {\tt iohdf5::out3D\_every = n} : Output every {\tt n} time steps
+ \item {\tt iohdf5::out3D\_dir = "your preferred 3-D output directory"}
+ \item {\tt IO::out\_single\_precision = "yes/no (output double-precision data in single precision)"}
+\end{itemize}
+
+\subsubsection{3-D Input}
+
+There are two ways to use the 3-D input capabilities:
+
+\begin{enumerate}
+ \item For evolutions using ADMBase, one may use the thorn IDFileADM and the following parameter settings:
+ \begin{itemize}
+ \item {\tt ADMBase::initial\_data = "read from file"}
+ \item {\tt IO::filereader\_ID\_files = "space separated list of files containing the ADM variables"}
+ \item {\tt IO::filereader\_ID\_vars = "space separated list of variables to be read in"}
+ \end{itemize}
+ \item For evolutions not using ADMBase one may try to read in data by setting
+ \begin{itemize}
+ \item {\tt iohdf5::in3D\_dir = "directory from where to read data"}
+ \item {\tt iohdf5::in3D\_vars = "space separated list of variables to be read in"}
+ \end{itemize}
+\end{enumerate}
+
+
+\subsubsection{Checkpointing}
+
+CarpetIOHDF5 uses the Cactus checkpoint/recovery infrastructure provided by
+CactusBase/IOUtil.
+
+\begin{itemize}
+ \item {\tt iohdf5::checkpoint = "yes"} : Turns on checkpointing
+ \item {\tt iohdf5::checkpoint\_every = n} : Checkpointing every {\tt n} time steps
+ \item {\tt iohdf5::checkpoint\_ID = "yes"} : Turns on checkpointing after initial data
+ \item {\tt io::checkpoint\_dir = "your preferred checkpoint directory"}
+ \item {\tt iohdf5::checkpoint\_keep = n} : Keep {\tt n} checkpoint files around
+\end{itemize}
+
+
+\subsubsection{Recover}
+
+CarpetIOHDF5 uses the Cactus checkpoint/recovery infrastructure provided by
+CactusBase/IOUtil. Currently all the checkpoint information is copied onto processor 0 and
+ written into a single file whose name is invented by IOUtil. Unfortunately, single cpu
+checkpoint files have a different name (a missing \_file\_0 tag) than checkpoint
+files from multi-cpu runs. Somebody should tweek IOBase...
+
+In principle, CarpetIOHDF5 is able to restart on any number
+of cpus from a checkpoint file of a run using any (other or same) number of cpus.
+
+\begin{itemize}
+ \item {\tt iohdf5::recover = "auto"} : Recover from the most recent Checkpoint file. This bombs,
+ if no checkpoint file is found.
+ \item {\tt iohdf5::recover = "autoprobe"} : Recover from the most recent Checkpoint file. This continues
+ without recovering if no checkpoint file is found.
+ \item {\tt iohdf5::recover\_dir = "directory containing the checkpoint file"}
+ \item {\tt iohdf5::recover = "manual"} : Recover from a file specified by {\tt iohdf5::recover\_file}. This
+ bombs if the file is not found.
+ \item {\tt iohdf5::recover\_file = "file you want to recover from"} : Only needs to be set if
+ {\tt iohdf5::recover = "manual"}.
+
+\end{itemize}
+
+
+
+\subsection{Special Behaviour}
+
+\begin{itemize}
+ \item {\tt iohdf5::h5verbose = "yes"} : Makes CarpetIOHDF5 very talkative.
+\end{itemize}
+
+
+\section{CarpetIOHDF5's HDF5 file layout}
+
+The HDF5 file layout of CarpetIOHDF5 is quite simple. There are no groups besides the
+standard HDF5 root data object group:
+
+\begin{itemize}
+ \item Each dataset is named according to this template: \\
+ {\tt \small [Full Variable Name] it=[Iteration] tl=[Timelevel] ml=[mglevel] rl=[reflevel] m=[map] c=[component]}
+
+ \item Each dataset has the following (largely redundant!) attributes associated with it:
+
+ \begin{itemize}
+ \item {\tt level} : Carpet::reflevel
+ \item {\tt origin} : 1-D array of length Carpet::dim. \\ origin[d]=CCTK\_ORIGIN\_SPACE(d) +
+ cctk\_lbnd[d] * delta[d]
+ \item {\tt delta} : 1-D array of length Carpet::dim. \\ delta[d] = CCTK\_DELTA\_SPACE(d)
+ \item {\tt min\_ext} : 1-D array of length Carpet::dim. \\ min\_ext[d] = delta[d]
+ \item {\tt max\_ext} : 1-D array of length Carpet::dim. \\ origin[d] + cctk\_lsh[d] * delta[d]
+ \item {\tt time} : cctk\_time
+ \item {\tt timestep} : cctk\_iteration
+ \item {\tt level\_timestep} : cctk\_iteration / Carpet::reflevelfact
+ \item {\tt persistence} : cctk\_iteration / Carpet::reflevelfact
+ \item {\tt time\_refinement} : Carpet::time\_refinement
+ \item {\tt spatial\_refinement} : 1-D array of length Carpet::dim. \\ spatial\_refinement[d] = Carpet::reflevelfact
+ \item {\tt grid\_placement\_refinement} : 1-D array of length Carpet::dim. \\ grid\_placement\_refinement[d] = Carpet::reflevelfact
+ \item {\tt iorigin} : 1-D array of length Carpet::dim. \\ iorigin[d] = (Carpet::ext.lower() / Carpet::ext.stride())[d]
+ \item {\tt name} : CCTK\_FullName(variable index)
+ \item {\tt group\_version} : 1
+ \item {\tt group\_fullname} : CCTK\_FullName(variable index)
+ \item {\tt group\_varname} : CCTK\_VarName(variable index)
+ \item {\tt group\_groupname} : CCTK\_GroupName(group index)
+ \item {\tt group\_grouptype} : CCTK\_GF, CCTK\_ARRAY or CCTK\_SCALAR
+ \item {\tt group\_dim} : CCTK\_GroupDimI(group index)
+ \item {\tt group\_timelevel} : tl (current timelevel)
+ \item {\tt group\_numtimelevels} : CCTK\_NumTimeLevelsI(group index)
+ \item {\tt cctk\_version} : 1
+ \item {\tt cctk\_dim} : cctk\_dim
+ \item {\tt cctk\_iteration} : cctk\_iteration
+ \item {\tt cctk\_gsh} : 1-D array of length Carpet::dim. cctk\_gsh
+ \item {\tt cctk\_lsh} : 1-D array of length Carpet::dim. cctk\_lsh
+ \item {\tt cctk\_lbnd} : 1-D array of length Carpet::dim. cctk\_lbnd
+ \item {\tt cctk\_delta\_time} : 1-D array of length Carpet::dim. cctk\_delta\_time
+ \item {\tt cctk\_delta\_space} : 1-D array of length Carpet::dim. cctk\_delta\_space
+ \item {\tt cctk\_origin\_space} : 1-D array of length Carpet::dim. cctk\_origin\_space
+ \item {\tt cctk\_bbox} : 1-D array of length 2*Carpet::dim. cctk\_box
+ \item {\tt cctk\_levfac} : 1-D array of length Carpet::dim. cctk\_levfac
+ \item {\tt cctk\_levoff} : 1-D array of length Carpet::dim. cctk\_levoff
+ \item {\tt cctk\_levoffdenom} : 1-D array of length Carpet::dim. cctk\_levoffdenom
+ \item {\tt cctk\_timefac} : cctk\_timefac
+ \item {\tt cctk\_convlevel} : cctk\_convlevel
+ \item {\tt cctk\_convfac} : cctk\_convfac
+ \item {\tt cctk\_nghostzones} : 1-D array of length Carpet::dim. cctk\_nghostzones
+ \item {\tt cctk\_time} : cctk\_time
+ \item {\tt carpet\_version} : 1
+ \item {\tt carpet\_dim} : Carpet::dim
+ \item {\tt carpet\_basemglevel} : Carpet::basemglevel
+ \item {\tt carpet\_mglevel} : Carpet::mglevel
+ \item {\tt carpet\_mglevels} : Carpet::mglevels
+ \item {\tt carpet\_mgface} : Carpet::mgfact
+ \item {\tt carpet\_reflevel} : Carpet::reflevel
+ \item {\tt carpet\_reflevels} : Carpet::reflevels
+ \item {\tt carpet\_reffact} : Carpet::reffact
+ \item {\tt carpet\_map} : Carpet::map
+ \item {\tt carpet\_maps} : Carpet::maps
+ \item {\tt carpet\_component} : Carpet::component
+ \item {\tt carpet\_components} : Carpet::vhh.at(Carpet::map)->components(reflevel))
+
+ \end{itemize}
+\end{itemize}
+
+\subsection{Attributes needed by the file reader}
+
+The number of attributes needed by the CarpetIOHDF5 file reader is much smaller then the total
+number of attributes attached to each dataset:
+
+\begin{itemize}
+ \item {\tt name}
+ \item {\tt level}
+ \item {\tt iorigin}
+\end{itemize}
+
+
+%\subsection{Interaction With Other Thorns}
+%
+%\subsection{Support and Feedback}
+%
+%\section{History}
+%
+%\subsection{Thorn Source Code}
+%
+%\subsection{Thorn Documentation}
+%
+%\subsection{Acknowledgements}
+%
+%
+%\begin{thebibliography}{9}
+%
+%\end{thebibliography}
+%
+% Do not delete next line
+% END CACTUS THORNGUIDE
+
+\end{document}
diff --git a/Carpet/CarpetIOHDF5/interface.ccl b/Carpet/CarpetIOHDF5/interface.ccl
new file mode 100644
index 000000000..b8d6a5da8
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/interface.ccl
@@ -0,0 +1,20 @@
+# Interface definition for thorn CarpetIOHDF5
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOHDF5/interface.ccl,v 1.5 2004/06/08 21:09:25 schnetter Exp $
+
+IMPLEMENTS: IOHDF5
+
+uses include header: carpet.hh
+
+uses include header: bbox.hh
+uses include header: vect.hh
+
+uses include header: data.hh
+uses include header: gdata.hh
+
+uses include header: ggf.hh
+
+
+
+CCTK_INT next_output_iteration TYPE=scalar
+CCTK_REAL next_output_time TYPE=scalar
+CCTK_INT this_iteration TYPE=scalar
diff --git a/Carpet/CarpetIOHDF5/par/CarpetWaveToyCheckpointTest.par b/Carpet/CarpetIOHDF5/par/CarpetWaveToyCheckpointTest.par
new file mode 100644
index 000000000..57cf0e59b
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/par/CarpetWaveToyCheckpointTest.par
@@ -0,0 +1,43 @@
+ActiveThorns = "Boundary CoordBase CartGrid3D SymBase Time Carpet CarpetReduce CarpetSlab CarpetLib CarpetRegrid IOUtil IOBasic CarpetIOASCII CarpetIOHDF5 IDScalarWaveC WaveToyC"
+
+
+Cactus::cctk_itlast = 12
+
+Time::dtfac = 0.5
+
+IDScalarWave::initial_data = "gaussian"
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 0.0
+
+Grid::avoid_origin = "no"
+Grid::type = "byrange"
+Grid::dxyz = 1
+
+Driver::global_nsize = 20
+Driver::ghost_size = 2
+
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+Carpet::init_each_timelevel = "yes"
+Carpet::buffer_width = 6
+Carpet::max_refinement_levels = 2
+
+CarpetRegrid::refinement_levels = 2
+
+# Output
+IO::out_dir = $parfile
+
+IOBasic::outInfo_every = 1
+IOBasic::outInfo_vars = "wavetoy::phi"
+
+IOASCII::out1D_vars = "wavetoy::phi"
+IOASCII::out1D_every = 12
+IOASCII::out3D_vars = "wavetoy::phi"
+IOASCII::out3D_every = 12
+
+# Checkpoint
+IO::checkpoint_every = 12
+IO::checkpoint_keep = 2
+
+IOHDF5::checkpoint = "yes"
+IOHDF5::verbose = "yes"
diff --git a/Carpet/CarpetIOHDF5/par/CarpetWaveToyRecoverTest.par b/Carpet/CarpetIOHDF5/par/CarpetWaveToyRecoverTest.par
new file mode 100644
index 000000000..5972c76d8
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/par/CarpetWaveToyRecoverTest.par
@@ -0,0 +1,12 @@
+ActiveThorns = "Boundary CoordBase CartGrid3D SymBase Time Carpet CarpetReduce CarpetSlab CarpetLib CarpetRegrid IOUtil IOBasic CarpetIOASCII CarpetIOHDF5 IDScalarWaveC WaveToyC"
+
+
+Cactus::cctk_itlast = 24
+
+# Output
+IO::out_dir = $parfile
+
+# Recovery
+IO::recover = "auto"
+
+IOHDF5::checkpoint = "no"
diff --git a/Carpet/CarpetIOHDF5/param.ccl b/Carpet/CarpetIOHDF5/param.ccl
new file mode 100644
index 000000000..c80b383c5
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/param.ccl
@@ -0,0 +1,113 @@
+# Parameter definitions for thorn CarpetIOHDF5
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOHDF5/param.ccl,v 1.15 2004/06/25 12:54:30 schnetter Exp $
+
+
+
+shares: IO
+
+USES STRING out_dir
+USES BOOLEAN out_single_precision
+
+USES KEYWORD out_criterion
+USES CCTK_INT out_every
+USES CCTK_REAL out_dt
+
+USES INT checkpoint_every
+USES INT checkpoint_keep
+USES BOOLEAN checkpoint_ID
+USES BOOLEAN recover_and_remove
+USES BOOLEAN checkpoint_on_terminate
+USES BOOLEAN strict_io_parameter_check
+USES KEYWORD recover
+USES STRING checkpoint_dir
+USES STRING checkpoint_ID_file
+USES STRING checkpoint_file
+USES STRING recover_dir
+USES STRING recover_file
+
+
+shares: Cactus
+
+USES CCTK_REAL cctk_initial_time
+
+
+private:
+
+
+
+BOOLEAN verbose "Produce log output" STEERABLE = ALWAYS
+{
+} "no"
+
+
+
+CCTK_STRING out3D_dir "Name of 3D CarpetIOHDF5 output directory, overrides IO::out_dir" STEERABLE = ALWAYS
+{
+ "^$" :: "Empty: use IO::out_dir"
+ ".+" :: "Not empty: directory name"
+} ""
+
+CCTK_STRING out3D_vars "Variables to output in 3D CarpetIOHDF5 file format" STEERABLE = ALWAYS
+{
+ .* :: "List of group and variable names"
+} ""
+
+CCTK_STRING out3D_extension "File extension to use for 3D CarpetIOHDF5 output" STEERABLE = ALWAYS
+{
+ ".*" :: "File extension (including a leading dot, if desired)"
+} ".h5"
+
+KEYWORD out3D_criterion "Criterion to select 3D CarpetIOHDF5 output intervals, overrides out_every" STEERABLE = ALWAYS
+{
+ "default" :: "Use IO::out_criterion"
+ "never" :: "Never output"
+ "iteration" :: "Output every so many iterations"
+ "divisor" :: "Output if (iteration % out_every) == 0."
+ "time" :: "Output every that much coordinate time"
+} "default"
+
+CCTK_INT out3D_every "How often to do 3D CarpetIOHDF5 output, overrides out_every" STEERABLE = ALWAYS
+{
+ 1:* :: "Output every so many time steps"
+ -1:0 :: "No output"
+ -2 :: "Use IO::out_every"
+} -2
+
+REAL out3D_dt "How often to do 3D CarpetIOHDF5 output, overrides IO::out_dt" STEERABLE = ALWAYS
+{
+ (0:* :: "In intervals of that much coordinate time"
+ 0 :: "As often as possible"
+ -1 :: "Disable output"
+ -2 :: "Default to IO::out_dt"
+} -2
+
+
+
+CCTK_STRING in3D_dir "Name of 3D CarpetIOHDF5 input directory" STEERABLE = ALWAYS
+{
+ ".+" :: "Directory name"
+} "."
+
+CCTK_STRING in3D_vars "Variables to input in 3D CarpetIOHDF5 file format" STEERABLE = ALWAYS
+{
+ .* :: "List of group and variable names"
+} ""
+
+CCTK_STRING in3D_extension "File extension to use for 3D CarpetIOHDF5 input" STEERABLE = ALWAYS
+{
+ ".*" :: "File extension (including a leading dot, if desired)"
+} ".h5"
+
+
+BOOLEAN checkpoint "Do checkpointing with CarpetIOHDF5" STEERABLE = ALWAYS
+{
+} "no"
+
+BOOLEAN checkpoint_next "Checkpoint at next iteration" STEERABLE = ALWAYS
+{
+} "no"
+
+
+BOOLEAN use_reflevels_from_checkpoint "Use CarpetRegrid::refinement_levels from the checkpoint file rather than from the parameter file." STEERABLE = ALWAYS
+{
+} "no"
diff --git a/Carpet/CarpetIOHDF5/schedule.ccl b/Carpet/CarpetIOHDF5/schedule.ccl
new file mode 100644
index 000000000..fc3f69751
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/schedule.ccl
@@ -0,0 +1,63 @@
+# Schedule definitions for thorn CarpetIOHDF5
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOHDF5/schedule.ccl,v 1.12 2004/08/18 16:02:56 tradke Exp $
+
+storage: next_output_iteration next_output_time this_iteration
+
+schedule CarpetIOHDF5Startup at STARTUP after IOUtil_Startup
+{
+ LANG: C
+} "Startup routine"
+
+schedule CarpetIOHDF5Init at BASEGRID
+{
+ LANG: C
+ OPTIONS: global
+} "Initialisation routine"
+
+schedule CarpetIOHDF5ReadData at INITIAL
+{
+ LANG: C
+ OPTIONS: level
+} "Read initial data from file"
+
+if (checkpoint && checkpoint_ID)
+{
+ schedule CarpetIOHDF5_InitialDataCheckpoint at CPINITIAL
+ {
+ LANG: C
+ OPTIONS: meta
+ } "Initial data checkpoint routine"
+}
+
+schedule CarpetIOHDF5_EvolutionCheckpoint at CHECKPOINT
+{
+ LANG: C
+ OPTIONS: meta
+} "Evolution checkpoint routine"
+
+schedule CarpetIOHDF5_TerminationCheckpoint at TERMINATE
+{
+ LANG: C
+ OPTIONS: meta
+} "Termination checkpoint routine"
+
+schedule CarpetIOHDF5_CloseFile at POSTINITIAL
+{
+ LANG: C
+ OPTIONS: global
+} "Close an input file opened by the filereader"
+
+if (! CCTK_Equals (recover, "no") && *recover_file)
+{
+ schedule CarpetIOHDF5_RecoverParameters at RECOVER_PARAMETERS
+ {
+ LANG:C
+ OPTIONS: meta
+ } "Parameter recovery routine"
+
+ schedule CarpetIOHDF5_CloseFile at POST_RECOVER_VARIABLES
+ {
+ LANG: C
+ OPTIONS: global
+ } "Close an initial data checkpoint file"
+}
diff --git a/Carpet/CarpetIOHDF5/src/Checkpoint.cc b/Carpet/CarpetIOHDF5/src/Checkpoint.cc
new file mode 100644
index 000000000..04483c18a
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/src/Checkpoint.cc
@@ -0,0 +1,437 @@
+#include <assert.h>
+#include <limits.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <sys/stat.h>
+#include <sys/types.h>
+
+#include <algorithm>
+#include <fstream>
+#include <sstream>
+#include <string>
+#include <vector>
+
+#include <hdf5.h>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+#include "cctk_Version.h"
+
+extern "C" {
+static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOHDF5/src/Checkpoint.cc,v 1.2 2004/08/18 16:02:56 tradke Exp $";
+CCTK_FILEVERSION(Carpet_CarpetIOHDF5_Checkpoint_cc);
+}
+
+#include "CactusBase/IOUtil/src/ioGH.h"
+#include "CactusBase/IOUtil/src/ioutil_CheckpointRecovery.h"
+
+#include "bbox.hh"
+#include "data.hh"
+#include "gdata.hh"
+#include "ggf.hh"
+#include "vect.hh"
+
+#include "carpet.hh"
+
+#include "iohdf5.hh"
+#include "iohdf5GH.h"
+
+
+namespace CarpetIOHDF5
+{
+
+using namespace std;
+using namespace Carpet;
+
+// when was the last checkpoint written ?
+static int last_checkpoint_iteration = -1;
+
+
+static int Checkpoint (const cGH* const cctkGH, int called_from);
+static int DumpParametersGHExtentions (const cGH *cctkGH, int all, hid_t writer);
+
+
+int CarpetIOHDF5_InitialDataCheckpoint (const cGH* const cctkGH)
+{
+ CCTK_INFO ("---------------------------------------------------------");
+ CCTK_INFO ("Dumping initial data checkpoint");
+ CCTK_INFO ("---------------------------------------------------------");
+
+ int retval = Checkpoint (cctkGH, CP_INITIAL_DATA);
+
+ return (retval);
+}
+
+
+int CarpetIOHDF5_EvolutionCheckpoint (const cGH* const cctkGH)
+{
+ int retval = 0;
+ DECLARE_CCTK_PARAMETERS
+
+ // Test checkpoint_every, and adjust it. This is necessary until
+ // recovery is more flexible.
+ int every_full = 1 << (maxreflevels-1);
+ if (checkpoint_every > 0 && (checkpoint_every % every_full) != 0)
+ {
+ char new_checkpoint_every[32];
+
+ snprintf (new_checkpoint_every, sizeof (new_checkpoint_every), "%d",
+ (checkpoint_every / every_full + 1) * every_full);
+ CCTK_ParameterSet ("checkpoint_every", "IOUtil", new_checkpoint_every);
+ CCTK_VInfo (CCTK_THORNSTRING,"I have adjusted your checkpoint_every to %s.",
+ new_checkpoint_every);
+ }
+
+ if (checkpoint &&
+ ((checkpoint_every > 0 && cctkGH->cctk_iteration % checkpoint_every == 0) ||
+ checkpoint_next))
+ {
+ CCTK_INFO ("---------------------------------------------------------");
+ CCTK_VInfo (CCTK_THORNSTRING, "Dumping periodic checkpoint at "
+ "iteration %d", cctkGH->cctk_iteration);
+ CCTK_INFO ("---------------------------------------------------------");
+
+ retval = Checkpoint (cctkGH, CP_EVOLUTION_DATA);
+
+ if (checkpoint_next)
+ {
+ CCTK_ParameterSet ("checkpoint_next", CCTK_THORNSTRING, "no");
+ }
+ }
+
+ return (retval);
+}
+
+
+int CarpetIOHDF5_TerminationCheckpoint (const cGH *const GH)
+{
+ int retval = 0;
+ DECLARE_CCTK_PARAMETERS
+
+
+ if (checkpoint && checkpoint_on_terminate)
+ {
+ if (last_checkpoint_iteration < GH->cctk_iteration)
+ {
+ CCTK_INFO ("---------------------------------------------------------");
+ CCTK_VInfo (CCTK_THORNSTRING, "Dumping termination checkpoint at "
+ "iteration %d", GH->cctk_iteration);
+ CCTK_INFO ("---------------------------------------------------------");
+
+ retval = Checkpoint (GH, CP_EVOLUTION_DATA);
+ }
+ else if (verbose)
+ {
+ CCTK_INFO ("---------------------------------------------------------");
+ CCTK_VInfo (CCTK_THORNSTRING, "Termination checkpoint already dumped "
+ "as last evolution checkpoint at iteration %d",
+ last_checkpoint_iteration);
+ CCTK_INFO ("---------------------------------------------------------");
+ }
+ }
+
+ return (retval);
+}
+
+
+static int Checkpoint (const cGH* const cctkGH, int called_from)
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ int retval = 0;
+
+ ioRequest *request;
+
+ CarpetIOHDF5GH *myGH = (CarpetIOHDF5GH *) CCTK_GHExtension (cctkGH,
+ "CarpetIOHDF5");
+
+ // check if CarpetIOHDF5 was registered as I/O method
+ if (myGH == NULL)
+ {
+ CCTK_WARN (0, "No CarpetIOHDF5 I/O methods registered");
+ return -1;
+ }
+
+ int const myproc = CCTK_MyProc (cctkGH);
+
+
+ /* get the filenames for both the temporary and real checkpoint file */
+ char *filename = IOUtil_AssembleFilename (cctkGH, NULL, "", ".h5",
+ called_from, 0, 1);
+ char *tempname = IOUtil_AssembleFilename (cctkGH, NULL, ".tmp", ".h5",
+ called_from, 0, 1);
+
+ hid_t writer = -1;
+
+ if (myproc == 0)
+ {
+ if (verbose)
+ {
+ CCTK_VInfo (CCTK_THORNSTRING, "Creating temporary checkpoint file '%s'",
+ tempname);
+ }
+
+ HDF5_ERROR (writer = H5Fcreate (tempname, H5F_ACC_TRUNC, H5P_DEFAULT,
+ H5P_DEFAULT));
+
+ // Dump all parameters and GHExtentions
+ retval = DumpParametersGHExtentions (cctkGH, 1, writer);
+
+ }
+
+ // now dump the grid variables on all mglevels, reflevels, maps and components
+ BEGIN_MGLEVEL_LOOP (cctkGH)
+ {
+ BEGIN_REFLEVEL_LOOP (cctkGH)
+ {
+ if (verbose)
+ {
+ CCTK_VInfo (CCTK_THORNSTRING,
+ "Dumping grid variables on mglevel %d reflevel %d ...",
+ mglevel, reflevel);
+ }
+
+ for (int group = CCTK_NumGroups () - 1; group >= 0; group--)
+ {
+ /* only dump groups which have storage assigned */
+ if (CCTK_QueryGroupStorageI (cctkGH, group) <= 0)
+ {
+ continue;
+ }
+
+ const int grouptype = CCTK_GroupTypeI (group);
+
+ // scalars and grid arrays only have one reflevel
+ if (grouptype != CCTK_GF && reflevel > 0)
+ {
+ continue;
+ }
+
+ // now check if there is any memory allocated
+ // for GFs and GAs. GSs should always have
+ // memory allocated and there is at this point
+ // no CCTK function to check this :/
+ if (grouptype == CCTK_GF || grouptype == CCTK_ARRAY)
+ {
+ const int gpdim = CCTK_GroupDimI (group);
+ int gtotalsize = 1;
+ vector<int> tlsh (gpdim);
+ assert(!CCTK_GrouplshGI(cctkGH,gpdim,&tlsh[0],group));
+ for(int i=0;i<gpdim;i++)
+ {
+ gtotalsize=tlsh[i];
+ }
+ if(gtotalsize == 0)
+ {
+ if (verbose)
+ {
+ CCTK_VInfo(CCTK_THORNSTRING, "Group '%s' is zero-sized. "
+ "No checkpoint info written", CCTK_GroupName (group));
+ }
+ continue;
+ }
+ }
+
+ /* get the number of allocated timelevels */
+ cGroup gdata;
+ CCTK_GroupData (group, &gdata);
+ gdata.numtimelevels = 0;
+ gdata.numtimelevels = CCTK_GroupStorageIncrease (cctkGH, 1, &group,
+ &gdata.numtimelevels,NULL);
+
+ int first_vindex = CCTK_FirstVarIndexI (group);
+
+ /* get the default I/O request for this group */
+ request = IOUtil_DefaultIORequest (cctkGH, first_vindex, 1);
+
+ /* disable checking for old data objects, disable datatype conversion
+ and downsampling */
+ request->check_exist = 0;
+ request->hdatatype = gdata.vartype;
+ for (request->hdim = 0; request->hdim < request->vdim; request->hdim++)
+ {
+ request->downsample[request->hdim] = 1;
+ }
+
+ /* loop over all variables in this group */
+ for (request->vindex = first_vindex;
+ request->vindex < first_vindex + gdata.numvars;
+ request->vindex++)
+ {
+ char *fullname = CCTK_FullName (request->vindex);
+
+ /* loop over all timelevels of this variable */
+ for (request->timelevel = 0;
+ request->timelevel < gdata.numtimelevels;
+ request->timelevel++)
+ {
+ if (verbose)
+ {
+ if (fullname != NULL)
+ {
+ CCTK_VInfo (CCTK_THORNSTRING, " %s (timelevel %d)",
+ fullname, request->timelevel);
+ }
+ else
+ {
+ CCTK_VWarn(1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Invalid variable with varindex %d", request->vindex);
+ }
+ }
+ // write the var
+
+ if (grouptype == CCTK_ARRAY || grouptype == CCTK_GF || grouptype == CCTK_SCALAR)
+ {
+ if (verbose)
+ {
+ CCTK_VInfo (CCTK_THORNSTRING,"%s: reflevel: %d map: %d component: %d grouptype: %d ",
+ fullname,reflevel,Carpet::map,component,grouptype);
+ }
+ retval += WriteVar(cctkGH,writer,request,1);
+ }
+ else
+ {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Invalid group type %d for variable '%s'", grouptype, fullname);
+ retval = -1;
+ }
+ }
+ free(fullname);
+ } /* end of loop over all variables */
+ } /* end of loop over all groups */
+ } END_REFLEVEL_LOOP;
+
+ } END_MGLEVEL_LOOP;
+
+
+ // Close the file
+ if (writer >= 0)
+ {
+ HDF5_ERROR (H5Fclose(writer));
+ }
+
+ if (retval == 0 && myproc == 0)
+ {
+ if (rename (tempname, filename))
+ {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Could not rename temporary checkpoint file '%s' to '%s'",
+ tempname, filename);
+ retval = -1;
+ }
+ else
+ {
+ if (myGH->cp_filename_list[myGH->cp_filename_index])
+ {
+ if (checkpoint_keep > 0)
+ {
+ remove (myGH->cp_filename_list[myGH->cp_filename_index]);
+ }
+ free (myGH->cp_filename_list[myGH->cp_filename_index]);
+ }
+ myGH->cp_filename_list[myGH->cp_filename_index] = strdup (filename);
+ myGH->cp_filename_index = (myGH->cp_filename_index+1) % abs (checkpoint_keep);
+ }
+ }
+
+ // save the iteration number of this checkpoint
+ last_checkpoint_iteration = cctkGH->cctk_iteration;
+
+ // free allocated resources
+ free (tempname);
+ free (filename);
+
+ return retval;
+
+} // Checkpoint
+
+
+static int DumpParametersGHExtentions (const cGH *cctkGH, int all, hid_t writer)
+{
+ // large parts of this routine were taken from
+ // Thomas Radke's IOHDF5Util. Thanks Thomas!
+
+ DECLARE_CCTK_PARAMETERS;
+
+ char *parameters;
+ hid_t group, dspace, dset;
+ hsize_t size;
+
+ int itmp;
+ double dtmp;
+ const char *version;
+ const ioGH *ioUtilGH;
+
+ if (verbose)
+ {
+ CCTK_INFO ("Dumping Parameters and GH Extentions...");
+ }
+
+ /* get the parameter string buffer */
+ parameters = IOUtil_GetAllParameters (cctkGH, all);
+ if (parameters)
+ {
+ size = strlen (parameters) + 1;
+ HDF5_ERROR (group = H5Gcreate (writer, METADATA_GROUP, 0));
+ HDF5_ERROR (dspace = H5Screate_simple (1, &size, NULL));
+ HDF5_ERROR (dset = H5Dcreate (group, ALL_PARAMETERS, H5T_NATIVE_UCHAR,
+ dspace, H5P_DEFAULT));
+ HDF5_ERROR (H5Dwrite (dset, H5T_NATIVE_CHAR, H5S_ALL, H5S_ALL,
+ H5P_DEFAULT, parameters));
+
+ // now dump the GH Extentions
+
+ /* get the handle for IOUtil extensions */
+ ioUtilGH = (const ioGH *) CCTK_GHExtension (cctkGH, "IO");
+
+ itmp = CCTK_MainLoopIndex ();
+ WriteAttribute(dset,"main loop index",itmp);
+
+ itmp = cctkGH->cctk_iteration;
+ WriteAttribute(dset,"GH$iteration",itmp);
+
+ itmp = ioUtilGH->ioproc_every;
+ WriteAttribute(dset,"GH$ioproc_every",itmp);
+
+ itmp = CCTK_nProcs (cctkGH);
+ WriteAttribute(dset,"GH$nprocs",itmp);
+
+ dtmp = cctkGH->cctk_time;
+ WriteAttribute(dset,"GH$time", dtmp);
+
+ dtmp = global_time;
+ WriteAttribute(dset,"carpet_global_time", dtmp);
+
+ itmp = reflevels;
+ WriteAttribute(dset,"carpet_reflevels", itmp);
+
+ dtmp = delta_time;
+ WriteAttribute(dset,"carpet_delta_time", dtmp);
+
+ version = CCTK_FullVersion();
+ WriteAttribute(dset,"Cactus version", version);
+
+ /* finally, we need all the times on the individual refinement levels */
+
+ const int numberofmgtimes=mglevels;
+ WriteAttribute(dset,"numberofmgtimes",numberofmgtimes);
+ for(int i=0;i < numberofmgtimes;i++)
+ {
+ char buffer[100];
+ snprintf (buffer, sizeof (buffer), "mgleveltimes %d", i);
+ WriteAttribute(dset,buffer,(double *) &leveltimes.at(i).at(0), reflevels);
+ }
+
+ HDF5_ERROR (H5Dclose (dset));
+ HDF5_ERROR (H5Sclose (dspace));
+ HDF5_ERROR (H5Gclose (group));
+
+ free (parameters);
+ }
+
+ return 0;
+} // DumpParametersGHExtentions
+
+} // namespace CarpetIOHDF5
diff --git a/Carpet/CarpetIOHDF5/src/Recover.cc b/Carpet/CarpetIOHDF5/src/Recover.cc
new file mode 100644
index 000000000..0f5349bb8
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/src/Recover.cc
@@ -0,0 +1,523 @@
+#include <assert.h>
+#include <limits.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <sys/stat.h>
+#include <sys/types.h>
+
+#include <algorithm>
+#include <fstream>
+#include <sstream>
+#include <string>
+#include <vector>
+
+#include <hdf5.h>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+#include "cctk_Version.h"
+
+extern "C" {
+static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOHDF5/src/Recover.cc,v 1.2 2004/07/09 15:38:18 tradke Exp $";
+CCTK_FILEVERSION(Carpet_CarpetIOHDF5_iohdf5chckpt_recover_cc);
+}
+
+#include "CactusBase/IOUtil/src/ioGH.h"
+#include "CactusBase/IOUtil/src/ioutil_CheckpointRecovery.h"
+
+#include "bbox.hh"
+#include "data.hh"
+#include "gdata.hh"
+#include "ggf.hh"
+#include "vect.hh"
+
+#include "carpet.hh"
+
+#include "iohdf5.hh"
+#include "iohdf5GH.h"
+
+/* some macros for HDF5 group names */
+#define METADATA_GROUP "Parameters and Global Attributes"
+#define ALL_PARAMETERS "All Parameters"
+
+
+
+namespace CarpetIOHDF5
+{
+
+using namespace std;
+using namespace Carpet;
+
+// structure describing a single dataset of an HDF5 file to read from
+typedef struct
+{
+ char *datasetname;
+
+ int vindex;
+ int timelevel;
+ int mglevel;
+ int reflevel;
+ int rank;
+ int *shape; // [rank]
+ int *iorigin; // [rank]
+} dataset_t;
+
+// structure describing the contents of an HDF5 file to read from
+typedef struct
+{
+ int num_mglevels;
+ int num_reflevels;
+ int parameter_len;
+ int cctk_iteration;
+ int main_loop_index;
+ double global_time;
+ double delta_time;
+ double *mgleveltimes; // [num_mglevels*num_reflevels]
+
+ char *filename;
+ hid_t file;
+ int num_datasets;
+ list<dataset_t> datasets; // [num_datasets]
+ int num_ints; // total number of integers in datasets[]
+} file_t;
+
+static file_t infile = {0, 0, 0, 0, 0, 0, 0, NULL, NULL, -1, -1,
+ list<dataset_t> (), 0};
+
+
+static int OpenFile (const char *basefilename, file_t *file, int called_from);
+static int RecoverVariables (cGH* cctkGH, file_t *file);
+static herr_t ReadMetadata (hid_t group, const char *objectname, void *arg);
+
+
+// Register with the Cactus Recovery Interface
+int CarpetIOHDF5_RecoverParameters (void)
+{
+ int retval = IOUtil_RecoverParameters (Recover, ".h5", "HDF5");
+
+ return (retval);
+}
+
+
+// close a checkpoint/filereader file after recovering grid variables
+int CarpetIOHDF5_CloseFile (void)
+{
+ DECLARE_CCTK_PARAMETERS
+
+
+ if (infile.num_datasets <= 0)
+ {
+ return (0);
+ }
+ infile.num_datasets = -1;
+
+ if (verbose)
+ {
+ CCTK_VInfo (CCTK_THORNSTRING, "closing file '%s' after recovery",
+ infile.filename);
+ }
+
+ if (infile.file >= 0)
+ {
+ HDF5_ERROR (H5Fclose (infile.file));
+ infile.file = -1;
+ }
+ free (infile.filename);
+ delete[] infile.mgleveltimes;
+
+ for (list<dataset_t>::iterator dataset = infile.datasets.begin ();
+ dataset != infile.datasets.end ();
+ dataset++)
+ {
+ delete[] dataset->shape;
+ delete[] dataset->iorigin;
+ }
+ infile.datasets.clear ();
+
+ return (0);
+}
+
+static int OpenFile (const char *basefilename, file_t *file, int called_from)
+{
+ hid_t dset = -1;
+ const int myproc = CCTK_MyProc (NULL);
+ DECLARE_CCTK_PARAMETERS
+
+
+ // generate filename for an unchunked checkpoint file */
+ file->filename = IOUtil_AssembleFilename (NULL, basefilename, "", ".h5",
+ called_from, 0, 1);
+ if (verbose)
+ {
+ CCTK_VInfo (CCTK_THORNSTRING, "opening %s file '%s'",
+ called_from == CP_RECOVER_PARAMETERS ? "checkpoint" : "input",
+ file->filename);
+ }
+
+ if (myproc == 0)
+ {
+ // try to open the file (prevent HDF5 error messages if it fails)
+ H5E_BEGIN_TRY
+ {
+ file->file = H5Fopen (file->filename, H5F_ACC_RDONLY, H5P_DEFAULT);
+ } H5E_END_TRY;
+
+ if (file->file >= 0)
+ {
+ if (called_from == CP_RECOVER_PARAMETERS)
+ {
+ HDF5_ERROR (dset = H5Dopen (file->file,
+ METADATA_GROUP"/"ALL_PARAMETERS));
+ ReadAttribute (dset, "carpet_reflevels", file->num_reflevels);
+ ReadAttribute (dset, "numberofmgtimes", file->num_mglevels);
+ ReadAttribute (dset, "GH$iteration", file->cctk_iteration);
+ ReadAttribute (dset, "main loop index", file->main_loop_index);
+ ReadAttribute (dset, "carpet_global_time", file->global_time);
+ ReadAttribute (dset, "carpet_delta_time", file->delta_time);
+ file->parameter_len = H5Dget_storage_size (dset) + 1;
+ assert (file->parameter_len > 1);
+ }
+
+ file->num_ints = 0;
+ HDF5_ERROR (H5Giterate (file->file, "/", NULL, ReadMetadata, file));
+ }
+ file->num_datasets = file->datasets.size ();
+ if (file->num_datasets <= 0)
+ {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "No valid HDF5 file '%s' found", file->filename);
+ free (file->filename);
+ }
+ }
+
+ // broadcast integer variables
+ int *intbuffer = new int[7];
+ intbuffer[0] = file->num_datasets;
+ intbuffer[1] = file->num_mglevels;
+ intbuffer[2] = file->num_reflevels;
+ intbuffer[3] = file->cctk_iteration;
+ intbuffer[4] = file->main_loop_index;
+ intbuffer[5] = file->parameter_len;
+ intbuffer[6] = file->num_ints;
+ MPI_Bcast (intbuffer, 7, MPI_INT, 0, MPI_COMM_WORLD);
+ file->num_datasets = intbuffer[0];
+ file->num_mglevels = intbuffer[1];
+ file->num_reflevels = intbuffer[2];
+ file->cctk_iteration = intbuffer[3];
+ file->main_loop_index = intbuffer[4];
+ file->parameter_len = intbuffer[5];
+ file->num_ints = intbuffer[6];
+ delete[] intbuffer;
+
+ // return if no valid checkpoint could be found
+ if (file->num_datasets <= 0)
+ {
+ return (-1);
+ }
+
+ // serialize the dataset list metadata into a single MPI_INT buffer
+ intbuffer = new int[file->num_ints];
+ if (myproc == 0)
+ {
+ for (list<dataset_t>::iterator dataset = file->datasets.begin ();
+ dataset != file->datasets.end ();
+ dataset++)
+ {
+ *intbuffer++ = dataset->vindex;
+ *intbuffer++ = dataset->timelevel;
+ *intbuffer++ = dataset->mglevel;
+ *intbuffer++ = dataset->reflevel;
+ *intbuffer++ = dataset->rank;
+
+ for (int i = 0; i < dataset->rank; i++)
+ {
+ *intbuffer++ = dataset->shape[i];
+ *intbuffer++ = dataset->iorigin[i];
+ }
+ }
+ intbuffer -= file->num_ints;
+ }
+
+ // broadcast the serialized dataset list metadata
+ MPI_Bcast (intbuffer, file->num_ints, MPI_INT, 0, MPI_COMM_WORLD);
+
+ // build the dataset list on non-I/O processors
+ if (myproc != 0)
+ {
+ for (int i = 0; i < file->num_datasets; i++)
+ {
+ dataset_t dataset;
+
+
+ dataset.vindex = *intbuffer++;
+ dataset.timelevel = *intbuffer++;
+ dataset.mglevel = *intbuffer++;
+ dataset.reflevel = *intbuffer++;
+ dataset.rank = *intbuffer++;
+
+ dataset.shape = new int[dataset.rank];
+ dataset.iorigin = new int[dataset.rank];
+ for (int j = 0; j < dataset.rank; j++)
+ {
+ dataset.shape[j] = *intbuffer++;
+ dataset.iorigin[j] = *intbuffer++;
+ }
+
+ file->datasets.push_back (dataset);
+ }
+ intbuffer -= file->num_ints;
+ }
+ delete[] intbuffer;
+
+ if (called_from == FILEREADER_DATA)
+ {
+ return (0);
+ }
+
+ // Use refinement levels parameter from checkpointing file ?
+ if (use_reflevels_from_checkpoint)
+ {
+ char buffer[32];
+
+ snprintf (buffer, sizeof (buffer), "%d", file->num_reflevels);
+ CCTK_ParameterSet ("refinement_levels", "CarpetRegrid", buffer);
+
+ CCTK_VInfo (CCTK_THORNSTRING, "Using %i reflevels read from checkpoint "
+ "file. Ignoring value in parameter file.", file->num_reflevels);
+ }
+
+ // leave space at the end for global_time and delta_time
+ // so that all double variables can be broadcasted in one go
+ int num_times = file->num_mglevels*file->num_reflevels + 2;
+ file->mgleveltimes = new double[num_times];
+ if (myproc == 0)
+ {
+ // FIXME: should store all mgleveltimes in a single contiguous array
+ // to get rid of this loop and save some attributes
+ for (int i = 0; i < file->num_mglevels; i++)
+ {
+ char buffer[32];
+
+ snprintf (buffer, sizeof (buffer), "mgleveltimes %d", i);
+ ReadAttribute (dset, buffer, file->mgleveltimes + i*file->num_reflevels,
+ file->num_reflevels);
+ }
+ }
+
+ // broadcast double variables
+ file->mgleveltimes[num_times - 2] = file->global_time;
+ file->mgleveltimes[num_times - 1] = file->delta_time;
+ MPI_Bcast (file->mgleveltimes, num_times, MPI_DOUBLE, 0, MPI_COMM_WORLD);
+ file->global_time = file->mgleveltimes[num_times - 2];
+ file->delta_time = file->mgleveltimes[num_times - 1];
+
+ char *parameters = new char[file->parameter_len];
+ if (myproc == 0)
+ {
+ CCTK_VInfo (CCTK_THORNSTRING, "Recovering parameters from checkpoint");
+
+ HDF5_ERROR (H5Dread (dset, H5T_NATIVE_CHAR, H5S_ALL, H5S_ALL, H5P_DEFAULT,
+ parameters));
+ }
+ if (dset >= 0)
+ {
+ HDF5_ERROR (H5Dclose (dset));
+ }
+
+ // broadcast char variables
+ MPI_Bcast (parameters, file->parameter_len, MPI_CHAR, 0, MPI_COMM_WORLD);
+
+ // recover parameters
+ IOUtil_SetAllParameters (parameters);
+ delete[] parameters;
+
+ return (0);
+}
+
+
+int Recover (cGH* cctkGH, const char *basefilename, int called_from)
+{
+ DECLARE_CCTK_PARAMETERS
+ int retval = 0;
+
+
+ assert (called_from == CP_RECOVER_PARAMETERS ||
+ called_from == CP_RECOVER_DATA ||
+ called_from == FILEREADER_DATA);
+
+ if (called_from == CP_RECOVER_PARAMETERS ||
+ called_from == FILEREADER_DATA)
+ {
+ // open the file, read and broadcast its metadata information
+ // for CP_RECOVER_PARAMETERS: also recover all parameters
+ retval = OpenFile (basefilename, &infile, called_from);
+
+ if (called_from == CP_RECOVER_PARAMETERS || retval)
+ {
+ return (retval == 0 ? 1 : -1);
+ }
+ }
+
+ // can only proceed with a valid checkpoint file from here on
+ assert (infile.num_datasets > 0);
+
+ // set global Cactus/Carpet variables
+ if (called_from == CP_RECOVER_DATA)
+ {
+ global_time = infile.global_time;
+ delta_time = infile.delta_time;
+ CCTK_SetMainLoopIndex (infile.main_loop_index);
+
+ cctkGH->cctk_iteration = infile.cctk_iteration;
+ cctkGH->cctk_time = infile.mgleveltimes[mglevel*infile.num_reflevels +
+ reflevel];
+ }
+
+ // now recover all grid variables on current mglevel and reflevel
+ retval = RecoverVariables (cctkGH, &infile);
+
+ if (called_from == CP_RECOVER_DATA)
+ {
+ CCTK_VInfo (CCTK_THORNSTRING,
+ "restarting simulation at iteration %d (physical time %g)",
+ cctkGH->cctk_iteration, (double) cctkGH->cctk_time);
+ }
+ else
+ {
+ // FIXME: keep filereader input file open for all mglevels, reflevels
+ // this doesn't work now because we don't know the number of
+ // mglevels and reflevels
+ // also: there may be multiple files to be read in, and they
+ // must not share the same data structures
+ CarpetIOHDF5_CloseFile ();
+ }
+
+ return (retval);
+}
+
+
+static herr_t ReadMetadata (hid_t group, const char *objectname, void *arg)
+{
+ file_t *file = (file_t *) arg;
+ dataset_t dataset;
+ hid_t dset, dspace;
+ H5G_stat_t object_info;
+
+
+ // we are interested only in datasets
+ HDF5_ERROR (H5Gget_objinfo (group, objectname, 0, &object_info));
+ if (object_info.type != H5G_DATASET)
+ {
+ return (0);
+ }
+
+ dataset.datasetname = strdup (objectname);
+ assert (dataset.datasetname);
+
+ HDF5_ERROR (dset = H5Dopen (group, objectname));
+ char *varname = NULL;
+ ReadAttribute (dset, "name", varname);
+ dataset.vindex = CCTK_VarIndex (varname);
+ free (varname);
+ ReadAttribute (dset, "name", varname);
+ ReadAttribute (dset, "level", dataset.timelevel);
+ ReadAttribute (dset, "carpet_mglevel", dataset.mglevel);
+ ReadAttribute (dset, "carpet_reflevel", dataset.reflevel);
+ HDF5_ERROR (dspace = H5Dget_space (dset));
+ HDF5_ERROR (dataset.rank = H5Sget_simple_extent_ndims (dspace));
+ dataset.iorigin = new int[dataset.rank];
+ ReadAttribute (dset, "iorigin", dataset.iorigin, dataset.rank);
+ hsize_t *shape = new hsize_t[dataset.rank];
+ HDF5_ERROR (H5Sget_simple_extent_dims (dspace, shape, NULL));
+ dataset.shape = new int[dataset.rank];
+ for (int i = 0; i < dataset.rank; i++)
+ {
+ dataset.shape[i] = shape[i];
+ }
+ HDF5_ERROR (H5Sclose (dspace));
+ HDF5_ERROR (H5Dclose (dset));
+
+ // add this dataset to our list and count the number of int elements
+ file->datasets.push_back (dataset);
+ file->num_ints += 5 + 2*dataset.rank;
+
+ return (0);
+}
+
+
+static int RecoverVariables (cGH* cctkGH, file_t *file)
+{
+ DECLARE_CCTK_PARAMETERS
+ int myproc = CCTK_MyProc (cctkGH);
+ hid_t dset = -1;
+
+
+#if 0
+ double leveltime = MPI_Wtime();
+ double comparetime = MPI_Wtime();
+ static double totaltime;
+ if (reflevel == 0) totaltime = 0;
+
+ comparetime = MPI_Wtime() - comparetime;
+ // cout << "Time for string comparison: " << comparetime << endl;
+ // cout << "I have for this reflevel " << refleveldatasetnamelist.size() << endl;
+#endif
+
+ CCTK_VInfo (CCTK_THORNSTRING,
+ "reading grid variables on mglevel %d reflevel %d",
+ mglevel, reflevel);
+
+ int num_vars = CCTK_NumVars ();
+ for (list<dataset_t>::iterator dataset = file->datasets.begin ();
+ dataset != file->datasets.end ();
+ dataset++)
+ {
+ // only recover grid variables for the current mglevel/reflevel
+ if (dataset->mglevel != mglevel || dataset->reflevel != reflevel)
+ {
+ continue;
+ }
+
+ if (dataset->vindex < 0 || dataset->vindex >= num_vars)
+ {
+ if (myproc == 0)
+ {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Ignoring dataset '%s' (invalid variable name)",
+ dataset->datasetname);
+ }
+ continue;
+ }
+
+ if (myproc == 0)
+ {
+ HDF5_ERROR (dset = H5Dopen (file->file, dataset->datasetname));
+ assert (dset >= 0);
+ }
+
+ vector<ibset> regions_read (Carpet::maps);
+ int did_read_something = ReadVar (cctkGH, dataset->vindex, dset,
+ regions_read, 1);
+ MPI_Bcast (&did_read_something, 1, MPI_INT, 0, dist::comm);
+
+ if (dset >= 0)
+ {
+ HDF5_ERROR (H5Dclose (dset));
+ }
+
+ }
+
+#if 0
+ leveltime = MPI_Wtime() - leveltime;
+ totaltime += leveltime;
+
+ if (verbose)
+ cout << "Timers: leveltime: " << leveltime << " totaltime: " << totaltime << endl;
+#endif
+
+ return (0);
+}
+
+
+} // namespace CarpetIOHDF5
diff --git a/Carpet/CarpetIOHDF5/src/iohdf5.cc b/Carpet/CarpetIOHDF5/src/iohdf5.cc
new file mode 100644
index 000000000..6a7ba3b46
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/src/iohdf5.cc
@@ -0,0 +1,1181 @@
+#include <assert.h>
+#include <limits.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <sys/stat.h>
+#include <sys/types.h>
+
+#include <algorithm>
+#include <fstream>
+#include <sstream>
+#include <vector>
+
+#include <hdf5.h>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOHDF5/src/iohdf5.cc,v 1.41 2004/07/09 15:38:18 tradke Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetIOHDF5_iohdf5_cc);
+}
+
+#include "CactusBase/IOUtil/src/ioGH.h"
+#include "CactusBase/IOUtil/src/ioutil_CheckpointRecovery.h"
+
+#include "bbox.hh"
+#include "data.hh"
+#include "gdata.hh"
+#include "ggf.hh"
+#include "vect.hh"
+
+#include "carpet.hh"
+
+#include "iohdf5.hh"
+#include "iohdf5GH.h"
+
+
+namespace CarpetIOHDF5 {
+
+using namespace std;
+using namespace Carpet;
+
+
+// Variable definitions
+vector<bool> do_truncate; // [var]
+vector<vector<vector<int> > > last_output; // [ml][rl][var]
+
+
+void CarpetIOHDF5Startup (void)
+{
+ DECLARE_CCTK_PARAMETERS
+
+
+ CCTK_RegisterBanner ("AMR 3D HDF5 I/O provided by CarpetIOHDF5");
+
+ int GHExtension = CCTK_RegisterGHExtension ("CarpetIOHDF5");
+ CCTK_RegisterGHExtensionSetupGH (GHExtension, SetupGH);
+
+ int IOMethod = CCTK_RegisterIOMethod ("IOHDF5");
+ CCTK_RegisterIOMethodOutputGH (IOMethod, OutputGH);
+ CCTK_RegisterIOMethodOutputVarAs (IOMethod, OutputVarAs);
+ CCTK_RegisterIOMethodTimeToOutput (IOMethod, TimeToOutput);
+ CCTK_RegisterIOMethodTriggerOutput (IOMethod, TriggerOutput);
+
+ /* initial I/O parameter check */
+ int numvars = CCTK_NumVars ();
+ vector<bool> flags(numvars);
+
+ if (CCTK_TraverseString (out3D_vars, SetFlag, &flags,CCTK_GROUP_OR_VAR) < 0)
+ {
+ CCTK_VWarn (strict_io_parameter_check ? 0 : 1,
+ __LINE__, __FILE__, CCTK_THORNSTRING,
+ "error while parsing parameter 'IOHDF5::out3D_vars'");
+ }
+
+#if 0
+ // Christian's Recovery routine
+ if ( !(CCTK_Equals(recover,"no")) ) {
+ ierr = IOUtil_RegisterRecover ("CarpetIOHDF5 recovery", Recover);
+ assert (! ierr);
+ } else {
+ // Erik's Recovery routine
+ ierr = IOUtil_RegisterRecover ("CarpetIOHDF5", Recover);
+ assert (! ierr);
+ }
+#else
+ if (IOUtil_RegisterRecover ("CarpetIOHDF5 recovery", Recover) < 0)
+ {
+ CCTK_WARN (1, "Failed to register IOFlexIO recovery routine");
+ }
+#endif
+}
+
+
+
+int CarpetIOHDF5Init (const cGH* const cctkGH)
+{
+ DECLARE_CCTK_ARGUMENTS;
+
+ *this_iteration = -1;
+ *next_output_iteration = 0;
+ *next_output_time = cctk_time;
+
+ return (0);
+}
+
+
+
+void* SetupGH (tFleshConfig* const fc,
+ const int convLevel, cGH* const cctkGH)
+{
+ DECLARE_CCTK_PARAMETERS;
+
+ CarpetIOHDF5GH* myGH;
+
+ const void *dummy;
+ dummy = &fc;
+ dummy = &convLevel;
+ dummy = &cctkGH;
+ dummy = &dummy;
+
+ // Truncate all files if this is not a restart
+ do_truncate.resize(CCTK_NumVars(), true);
+
+ // No iterations have yet been output
+ last_output.resize(mglevels);
+ for (int ml=0; ml<mglevels; ++ml) {
+ last_output.at(ml).resize(maxreflevels);
+ for (int rl=0; rl<maxreflevels; ++rl) {
+ last_output.at(ml).at(rl).resize(CCTK_NumVars(), INT_MIN);
+ }
+ }
+
+ // We register only once, ergo we get only one handle. We store
+ // that statically, so there is no need to pass anything to
+ // Cactus.
+
+ /* allocate a new GH extension structure */
+
+ CCTK_INT numvars = CCTK_NumVars ();
+
+ myGH = (CarpetIOHDF5GH*) malloc (sizeof (CarpetIOHDF5GH));
+ myGH->out_last = (int *) malloc (numvars * sizeof (int));
+ myGH->requests = (ioRequest **) calloc (numvars, sizeof (ioRequest *));
+ myGH->cp_filename_list = (char **) calloc (abs (checkpoint_keep), sizeof (char *));
+ myGH->cp_filename_index = 0;
+ myGH->out_vars = strdup ("");
+ myGH->out_every_default = out_every - 1;
+
+ for (int i = 0; i < numvars; i++)
+ {
+ myGH->out_last [i] = -1;
+ }
+
+ myGH->open_output_files = NULL;
+
+ // Now set hdf5 complex datatypes
+ // Stolen from Thomas Radke
+ HDF5_ERROR (myGH->HDF5_COMPLEX =
+ H5Tcreate (H5T_COMPOUND, sizeof (CCTK_COMPLEX)));
+ HDF5_ERROR (H5Tinsert (myGH->HDF5_COMPLEX, "real",
+ offsetof (CCTK_COMPLEX, Re), HDF5_REAL));
+ HDF5_ERROR (H5Tinsert (myGH->HDF5_COMPLEX, "imag",
+ offsetof (CCTK_COMPLEX, Im), HDF5_REAL));
+#ifdef CCTK_REAL4
+ HDF5_ERROR (myGH->HDF5_COMPLEX8 =
+ H5Tcreate (H5T_COMPOUND, sizeof (CCTK_COMPLEX8)));
+ HDF5_ERROR (H5Tinsert (myGH->HDF5_COMPLEX8, "real",
+ offsetof (CCTK_COMPLEX8, Re), HDF5_REAL4));
+ HDF5_ERROR (H5Tinsert (myGH->HDF5_COMPLEX8, "imag",
+ offsetof (CCTK_COMPLEX8, Im), HDF5_REAL4));
+#endif
+#ifdef CCTK_REAL8
+ HDF5_ERROR (myGH->HDF5_COMPLEX16 =
+ H5Tcreate (H5T_COMPOUND, sizeof (CCTK_COMPLEX16)));
+ HDF5_ERROR (H5Tinsert (myGH->HDF5_COMPLEX16, "real",
+ offsetof (CCTK_COMPLEX16, Re), HDF5_REAL8));
+ HDF5_ERROR (H5Tinsert (myGH->HDF5_COMPLEX16, "imag",
+ offsetof (CCTK_COMPLEX16, Im), HDF5_REAL8));
+#endif
+#ifdef CCTK_REAL16
+ HDF5_ERROR (myGH->HDF5_COMPLEX32 =
+ H5Tcreate (H5T_COMPOUND, sizeof (CCTK_COMPLEX32)));
+ HDF5_ERROR (H5Tinsert (myGH->HDF5_COMPLEX32, "real",
+ offsetof (CCTK_COMPLEX32, Re), HDF5_REAL16));
+ HDF5_ERROR (H5Tinsert (myGH->HDF5_COMPLEX32, "imag",
+ offsetof (CCTK_COMPLEX32, Im), HDF5_REAL16));
+#endif
+ return (myGH);
+}
+
+int OutputGH (const cGH* const cctkGH) {
+ for (int vindex=0; vindex<CCTK_NumVars(); ++vindex) {
+ if (TimeToOutput(cctkGH, vindex)) {
+ TriggerOutput(cctkGH, vindex);
+ }
+ }
+ return 0;
+}
+
+
+
+int OutputVarAs (const cGH* const cctkGH, const char* const varname,
+ const char* const alias)
+{
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_PARAMETERS
+
+ int numvars = CCTK_NumVars ();
+ vector<bool> flags (numvars);
+
+ if (CCTK_TraverseString (varname, SetFlag, &flags, CCTK_VAR) < 0)
+ {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "error while parsing variable name '%s' (alias name '%s')",
+ varname, alias);
+ return (-1);
+ }
+
+ int vindex = 0;
+ while (! flags.at (vindex) && vindex < numvars) vindex++;
+ if (vindex >= numvars)
+ {
+ return (-1);
+ }
+
+ const int group = CCTK_GroupIndexFromVarI (vindex);
+ assert (group>=0 && group<(int)Carpet::arrdata.size());
+
+ // Check for storage
+ if (! CCTK_QueryGroupStorageI(cctkGH, group))
+ {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Cannot output variable '%s' because it has no storage",
+ varname);
+ return (0);
+ }
+
+ const int grouptype = CCTK_GroupTypeI(group);
+ if (grouptype == CCTK_SCALAR || grouptype == CCTK_ARRAY)
+ {
+ assert (do_global_mode);
+ }
+
+ /* get the default I/O request for this variable */
+ ioRequest* request = IOUtil_DefaultIORequest (cctkGH, vindex, 1);
+
+ // Get grid hierarchy extentsion from IOUtil
+ const ioGH * const iogh = (const ioGH *)CCTK_GHExtension (cctkGH, "IO");
+ assert (iogh);
+
+ // Create the output directory
+ const char* myoutdir = out3D_dir;
+ if (CCTK_EQUALS(myoutdir, "")) {
+ myoutdir = out_dir;
+ }
+ if (CCTK_MyProc(cctkGH)==0) {
+ CCTK_CreateDirectory (0755, myoutdir);
+ }
+
+ // Invent a file name
+ ostringstream filenamebuf;
+ filenamebuf << myoutdir << "/" << alias << out3D_extension;
+ string filenamestr = filenamebuf.str();
+ const char * const filename = filenamestr.c_str();
+
+ hid_t writer = -1;
+
+ // Write the file only on the root processor
+ if (CCTK_MyProc (cctkGH) == 0)
+ {
+
+ // If this is the first time, then create and truncate the file
+ if (do_truncate.at(vindex))
+ {
+ struct stat fileinfo;
+ if (! iogh->recovered || stat(filename, &fileinfo)!=0)
+ {
+ HDF5_ERROR (writer = H5Fcreate (filename, H5F_ACC_TRUNC, H5P_DEFAULT,
+ H5P_DEFAULT));
+ assert (writer>=0);
+ HDF5_ERROR (H5Fclose (writer));
+ writer = -1;
+ }
+ }
+
+ // Open the file
+ HDF5_ERROR (writer = H5Fopen (filename, H5F_ACC_RDWR, H5P_DEFAULT));
+ }
+
+ if (verbose)
+ {
+ CCTK_VInfo (CCTK_THORNSTRING,
+ "Writing variable '%s' on mglevel %d reflevel %d",
+ varname, mglevel, reflevel);
+ }
+ WriteVar (cctkGH, writer, request, 0);
+
+ // Close the file
+ if (writer >= 0)
+ {
+ HDF5_ERROR (H5Fclose (writer));
+ }
+
+ // Don't truncate again
+ do_truncate.at(vindex) = false;
+
+ return (0);
+}
+
+int WriteVar (const cGH* const cctkGH, const hid_t writer, const ioRequest* request,
+ const int called_from_checkpoint) {
+
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ void * h5data=NULL;
+
+ const int n = request->vindex;
+ assert (n>=0 && n<CCTK_NumVars());
+ const char * varname = CCTK_FullName(n);
+ const int group = CCTK_GroupIndexFromVarI (n);
+ assert (group>=0 && group<(int)Carpet::arrdata.size());
+ const int n0 = CCTK_FirstVarIndexI(group);
+ assert (n0>=0 && n0<CCTK_NumVars());
+ const int var = n - n0;
+ assert (var>=0 && var<CCTK_NumVars());
+ int tl = 0;
+
+ const int gpdim = CCTK_GroupDimI(group);
+
+ // Check for storage
+ if (! CCTK_QueryGroupStorageI(cctkGH, group)) {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Cannot output variable \"%s\" because it has no storage",
+ varname);
+ return 0;
+ }
+
+ const int grouptype = CCTK_GroupTypeI(group);
+ switch (grouptype) {
+ case CCTK_SCALAR:
+ case CCTK_ARRAY:
+ assert (do_global_mode);
+ break;
+ case CCTK_GF:
+ /* do nothing */
+ break;
+ default:
+ assert (0);
+ }
+ const int rl = grouptype==CCTK_GF ? reflevel : 0;
+
+ cGroup cgdata;
+ int ierr = CCTK_GroupData(group,&cgdata);
+ assert(ierr==0);
+
+ // Select memory (source) and file (destination) datatypes
+ int cctkDataType = CCTK_VarTypeI(n);
+ const hid_t memdatatype = h5DataType(cctkGH, cctkDataType);
+ assert(memdatatype >= 0);
+ if (out_single_precision && ! called_from_checkpoint)
+ {
+ if (cctkDataType == CCTK_VARIABLE_REAL)
+ {
+ cctkDataType = CCTK_VARIABLE_REAL4;
+ }
+ else if (cctkDataType == CCTK_VARIABLE_COMPLEX)
+ {
+ cctkDataType = CCTK_VARIABLE_COMPLEX8;
+ }
+#ifdef CCTK_INT2
+ else if (cctkDataType == CCTK_VARIABLE_INT)
+ {
+ cctkDataType = CCTK_VARIABLE_INT2;
+ }
+#endif
+ }
+ const hid_t filedatatype = h5DataType(cctkGH, cctkDataType);
+ assert(filedatatype >= 0);
+
+ // let's get the correct Carpet time level (which is the (-1) * Cactus timelevel):
+ tl = - request->timelevel;
+
+ // Traverse all components
+ BEGIN_MAP_LOOP(cctkGH, grouptype) {
+ BEGIN_COMPONENT_LOOP(cctkGH, grouptype) {
+
+ const ggf<dim>* ff = 0;
+
+ ff = (ggf<dim>*)arrdata.at(group).at(Carpet::map).data.at(var);
+
+ const gdata<dim>* const data = (*ff) (tl, rl, component, mglevel);
+
+ // Make temporary copy on processor 0
+ const ibbox ext = data->extent();
+// vect<int,dim> lo = ext.lower();
+// vect<int,dim> hi = ext.upper();
+// vect<int,dim> str = ext.stride();
+
+ gdata<dim>* const tmp = data->make_typed (n);
+ tmp->allocate (ext, 0);
+
+ if ( !((cgdata.disttype == CCTK_DISTRIB_CONSTANT) &&
+ (arrdata.at(group).at(Carpet::map).hh->processors.at(reflevel).at(component)!=0))) {
+
+ if (cgdata.disttype == CCTK_DISTRIB_CONSTANT) {
+ assert(grouptype == CCTK_ARRAY || grouptype == CCTK_SCALAR);
+ if(component!=0) goto skip;
+ h5data = CCTK_VarDataPtrI(cctkGH,tl,n);
+ } else {
+ for (comm_state<dim> state; !state.done(); state.step()) {
+ tmp->copy_from (state, data, ext);
+ }
+ }
+ // Write data
+ if (CCTK_MyProc(cctkGH)==0) {
+
+ int ldim=0;
+ if ( grouptype==CCTK_SCALAR ) {
+ ldim = 1;
+ } else {
+ ldim = gpdim;
+ }
+
+ // hsize_t shape[ldim];
+
+ vector<hsize_t> shape(ldim);
+
+ for (int d=0; d<ldim; ++d) {
+ shape[ldim-1-d] = (ext.shape() / ext.stride())[d];
+ }
+ hid_t dataspace;
+ HDF5_ERROR (dataspace = H5Screate_simple (ldim, &shape[0], NULL));
+ assert (dataspace>=0);
+
+
+ ostringstream datasetnamebuf;
+ datasetnamebuf << varname
+ << " it=" << cctk_iteration
+ << " tl=" << tl
+ << " ml=" << mglevel
+ << " rl=" << rl
+ << " m=" << Carpet::map
+ << " c=" << component;
+ string datasetnamestr = datasetnamebuf.str();
+ assert (datasetnamestr.size() <= 256); // limit dataset name size
+ const char * const datasetname = datasetnamestr.c_str();
+ hid_t dataset;
+ HDF5_ERROR (dataset = H5Dcreate (writer, datasetname, filedatatype, dataspace, H5P_DEFAULT));
+
+ if (dataset>=0) {
+
+ if (cgdata.disttype != CCTK_DISTRIB_CONSTANT) {
+ h5data = (void*)tmp->storage();
+ }
+
+ HDF5_ERROR (H5Dwrite (dataset, memdatatype, H5S_ALL, H5S_ALL, H5P_DEFAULT, h5data));
+
+ // Write FlexIO attributes
+ WriteAttribute (dataset, "level", rl);
+ {
+ CCTK_REAL origin[dim], delta[dim];
+ CCTK_REAL min_ext[dim], max_ext[dim];
+ for (int d=0; d<dim; ++d) {
+ origin[d] = CCTK_ORIGIN_SPACE(d);
+ delta[d] = CCTK_DELTA_SPACE(d);
+ min_ext[d] = origin[d] + cctk_lbnd[d] * delta[d];
+ max_ext[d] = origin[d] + cctk_ubnd[d] * delta[d];
+ }
+ WriteAttribute (dataset, "origin", min_ext, dim);
+ WriteAttribute (dataset, "delta", delta, dim);
+ WriteAttribute (dataset, "min_ext", min_ext, dim);
+ WriteAttribute (dataset, "max_ext", max_ext, dim);
+ }
+ WriteAttribute (dataset, "time", cctk_time);
+ WriteAttribute (dataset, "timestep", cctk_iteration);
+ WriteAttribute (dataset, "level_timestep", cctk_iteration / reflevelfact);
+ WriteAttribute (dataset, "persistence", maxreflevelfact / reflevelfact);
+ {
+ int time_refinement=0;
+ int spatial_refinement[dim];
+ int grid_placement_refinement[dim];
+ time_refinement = reflevelfact;
+ for (int d=0; d<dim; ++d) {
+ spatial_refinement[d] = reflevelfact;
+ grid_placement_refinement[d] = reflevelfact;
+ }
+ WriteAttribute (dataset, "time_refinement", time_refinement);
+ WriteAttribute (dataset, "spatial_refinement", spatial_refinement, dim);
+ WriteAttribute (dataset, "grid_placement_refinement", grid_placement_refinement, dim);
+ }
+ {
+ int iorigin[dim];
+ for (int d=0; d<dim; ++d) {
+ iorigin[d] = (ext.lower() / ext.stride())[d];
+ }
+ WriteAttribute (dataset, "iorigin", iorigin, dim);
+ }
+
+ // Write some additional attributes
+
+ // Legacy arguments
+ {
+ char * fullname = CCTK_FullName(n);
+ assert (fullname);
+ WriteAttribute (dataset, "name", fullname);
+ free (fullname);
+ }
+
+ // Group arguments
+ WriteAttribute (dataset, "group_version", 1);
+ {
+ char * fullname = CCTK_FullName(n);
+ assert (fullname);
+ WriteAttribute (dataset, "group_fullname", fullname);
+ free (fullname);
+ }
+ WriteAttribute (dataset, "group_varname", CCTK_VarName(n));
+ {
+ char * groupname = CCTK_GroupName(group);
+ assert (groupname);
+ WriteAttribute (dataset, "group_groupname", groupname);
+ free (groupname);
+ }
+ switch (grouptype) {
+ case CCTK_GF:
+ WriteAttribute (dataset, "group_grouptype", "CCTK_GF");
+ break;
+ case CCTK_ARRAY:
+ WriteAttribute (dataset, "group_grouptype", "CCTK_ARRAY");
+ break;
+ case CCTK_SCALAR:
+ WriteAttribute (dataset, "group_grouptype", "CCTK_SCALAR");
+ break;
+ default:
+ assert (0);
+ }
+ WriteAttribute (dataset, "group_dim", CCTK_GroupDimI(group));
+ WriteAttribute (dataset, "group_timelevel", tl);
+ WriteAttribute (dataset, "group_numtimelevels", CCTK_NumTimeLevelsI(group));
+
+ // Cactus arguments
+ WriteAttribute (dataset, "cctk_version", 1);
+ WriteAttribute (dataset, "cctk_dim", cctk_dim);
+ WriteAttribute (dataset, "cctk_iteration", cctk_iteration);
+ WriteAttribute (dataset, "cctk_gsh", cctk_gsh, dim);
+ WriteAttribute (dataset, "cctk_lsh", cctk_lsh, dim);
+ WriteAttribute (dataset, "cctk_lbnd", cctk_lbnd, dim);
+ WriteAttribute (dataset, "cctk_delta_time", cctk_delta_time);
+ WriteAttribute (dataset, "cctk_delta_space", cctk_delta_space, dim);
+ WriteAttribute (dataset, "cctk_origin_space", cctk_origin_space, dim);
+ WriteAttribute (dataset, "cctk_bbox", cctk_bbox, 2*dim);
+ WriteAttribute (dataset, "cctk_levfac", cctk_levfac, dim);
+ WriteAttribute (dataset, "cctk_levoff", cctk_levoff, dim);
+ WriteAttribute (dataset, "cctk_levoffdenom", cctk_levoffdenom, dim);
+ WriteAttribute (dataset, "cctk_timefac", cctk_timefac);
+ WriteAttribute (dataset, "cctk_convlevel", cctk_convlevel);
+ WriteAttribute (dataset, "cctk_convfac", cctk_convfac);
+ WriteAttribute (dataset, "cctk_nghostzones", cctk_nghostzones, dim);
+ WriteAttribute (dataset, "cctk_time", cctk_time);
+
+ // Carpet arguments
+ WriteAttribute (dataset, "carpet_version", 1);
+ WriteAttribute (dataset, "carpet_dim", dim);
+ WriteAttribute (dataset, "carpet_basemglevel", basemglevel);
+ WriteAttribute (dataset, "carpet_mglevel", mglevel);
+ WriteAttribute (dataset, "carpet_mglevels", mglevels);
+ WriteAttribute (dataset, "carpet_mgface", mgfact);
+ WriteAttribute (dataset, "carpet_reflevel", reflevel);
+ WriteAttribute (dataset, "carpet_reflevels", reflevels);
+ WriteAttribute (dataset, "carpet_reffact", reffact);
+ WriteAttribute (dataset, "carpet_map", Carpet::map);
+ WriteAttribute (dataset, "carpet_maps", maps);
+ WriteAttribute (dataset, "carpet_component", component);
+ WriteAttribute (dataset, "carpet_components", vhh.at(Carpet::map)->components(reflevel));
+
+ HDF5_ERROR (H5Dclose (dataset));
+ }
+
+ HDF5_ERROR (H5Sclose (dataspace));
+
+ } // if on root processor
+ } // if ! CCTK_DISTRIB_BLAH
+
+ skip:
+ // Delete temporary copy
+ delete tmp;
+
+ } END_COMPONENT_LOOP;
+ } END_MAP_LOOP;
+
+ return 0;
+}
+
+
+
+int TimeToOutput (const cGH* const cctkGH, const int vindex)
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ assert (vindex>=0 && vindex<CCTK_NumVars());
+
+
+
+ const int grouptype = CCTK_GroupTypeFromVarI(vindex);
+ switch (grouptype) {
+ case CCTK_SCALAR:
+ case CCTK_ARRAY:
+ if (! do_global_mode) return 0;
+ break;
+ case CCTK_GF:
+ // do nothing
+ break;
+ default:
+ assert (0);
+ }
+
+
+
+ // check whether to output at this iteration
+ bool output_this_iteration;
+
+ const char* myoutcriterion = out3D_criterion;
+ if (CCTK_EQUALS(myoutcriterion, "default")) {
+ myoutcriterion = out_criterion;
+ }
+
+ if (CCTK_EQUALS (myoutcriterion, "never")) {
+
+ // Never output
+ output_this_iteration = false;
+
+ } else if (CCTK_EQUALS (myoutcriterion, "iteration")) {
+
+ int myoutevery = out3D_every;
+ if (myoutevery == -2) {
+ myoutevery = out_every;
+ }
+ if (myoutevery <= 0) {
+ // output is disabled
+ output_this_iteration = false;
+ } else if (cctk_iteration == *this_iteration) {
+ // we already decided to output this iteration
+ output_this_iteration = true;
+ } else if (cctk_iteration >= *next_output_iteration) {
+ // it is time for the next output
+ output_this_iteration = true;
+ *next_output_iteration = cctk_iteration + myoutevery;
+ *this_iteration = cctk_iteration;
+ } else {
+ // we want no output at this iteration
+ output_this_iteration = false;
+ }
+
+ } else if (CCTK_EQUALS (myoutcriterion, "divisor")) {
+
+ int myoutevery = out3D_every;
+ if (myoutevery == -2) {
+ myoutevery = out_every;
+ }
+ if (myoutevery <= 0) {
+ // output is disabled
+ output_this_iteration = false;
+ } else if ((cctk_iteration % myoutevery) == 0) {
+ // we already decided to output this iteration
+ output_this_iteration = true;
+ } else {
+ // we want no output at this iteration
+ output_this_iteration = false;
+ }
+
+ } else if (CCTK_EQUALS (myoutcriterion, "time")) {
+
+ CCTK_REAL myoutdt = out3D_dt;
+ if (myoutdt == -2) {
+ myoutdt = out_dt;
+ }
+ if (myoutdt < 0) {
+ // output is disabled
+ output_this_iteration = false;
+ } else if (myoutdt == 0) {
+ // output all iterations
+ output_this_iteration = true;
+ } else if (cctk_iteration == *this_iteration) {
+ // we already decided to output this iteration
+ output_this_iteration = true;
+ } else if (cctk_time / cctk_delta_time
+ >= *next_output_time / cctk_delta_time - 1.0e-12) {
+ // it is time for the next output
+ output_this_iteration = true;
+ *next_output_time = cctk_time + myoutdt;
+ *this_iteration = cctk_iteration;
+ } else {
+ // we want no output at this iteration
+ output_this_iteration = false;
+ }
+
+ } else {
+
+ assert (0);
+
+ } // select output criterion
+
+ if (! output_this_iteration) return 0;
+
+
+
+ if (! CheckForVariable(out3D_vars, vindex)) {
+ // This variable should not be output
+ return 0;
+ }
+
+
+
+ if (last_output.at(mglevel).at(reflevel).at(vindex) == cctk_iteration) {
+ // Has already been output during this iteration
+ char* varname = CCTK_FullName(vindex);
+ CCTK_VWarn (5, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Skipping output for variable \"%s\", because this variable "
+ "has already been output during the current iteration -- "
+ "probably via a trigger during the analysis stage",
+ varname);
+ free (varname);
+ return 0;
+ }
+
+ assert (last_output.at(mglevel).at(reflevel).at(vindex) < cctk_iteration);
+
+ // Should be output during this iteration
+ return 1;
+}
+
+
+
+int TriggerOutput (const cGH* const cctkGH, const int vindex) {
+ assert (vindex>=0 && vindex<CCTK_NumVars());
+
+ char* varname = CCTK_FullName(vindex);
+ const int retval = OutputVarAs (cctkGH, varname, CCTK_VarName(vindex));
+ free (varname);
+
+ last_output.at(mglevel).at(reflevel).at(vindex) = cctkGH->cctk_iteration;
+
+ return retval;
+}
+
+
+
+
+int ReadVar (const cGH* const cctkGH, const int vindex,
+ const hid_t dataset, vector<ibset> &regions_read,
+ const int called_from_recovery)
+{
+
+ DECLARE_CCTK_PARAMETERS;
+
+ const int group = CCTK_GroupIndexFromVarI (vindex);
+ assert (group>=0 && group<(int)Carpet::arrdata.size());
+ char *fullname = CCTK_FullName (vindex);
+ const int n0 = CCTK_FirstVarIndexI(group);
+ assert (n0>=0 && n0<CCTK_NumVars());
+ const int var = vindex - n0;
+ assert (var>=0 && var<CCTK_NumVars());
+ int tl = 0;
+
+ bool did_read_something = false;
+
+ // Stuff needed for Recovery
+
+ void *h5data = NULL;
+
+ if (verbose)
+ {
+ CCTK_VInfo (CCTK_THORNSTRING, " reading '%s'", fullname);
+ }
+
+ // Check for storage
+ if (! CCTK_QueryGroupStorageI(cctkGH, group))
+ {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Cannot input variable \"%s\" because it has no storage",
+ fullname);
+ free (fullname);
+ return 0;
+ }
+
+ const int grouptype = CCTK_GroupTypeI(group);
+ if ((grouptype == CCTK_SCALAR || grouptype == CCTK_ARRAY) && reflevel > 0)
+ {
+ free (fullname);
+ return 0;
+ }
+
+ const int gpdim = CCTK_GroupDimI(group);
+
+
+ int intbuffer[2 + 2*dim];
+ int &group_timelevel = intbuffer[0],
+ &amr_level = intbuffer[1];
+ int *amr_origin = &intbuffer[2],
+ *amr_dims = &intbuffer[2+dim];
+
+ if (CCTK_MyProc(cctkGH)==0)
+ {
+ // get dataset dimensions
+ hid_t dataspace;
+ HDF5_ERROR (dataspace = H5Dget_space (dataset));
+ int rank = (int) H5Sget_simple_extent_ndims (dataspace);
+ assert (0 < rank && rank <= dim);
+ assert ((grouptype == CCTK_SCALAR ? gpdim+1 : gpdim) == rank);
+ vector<hsize_t> shape(rank);
+ HDF5_ERROR (H5Sget_simple_extent_dims (dataspace, &shape[0], NULL));
+ HDF5_ERROR (H5Sclose (dataspace));
+
+ for (int i = 0; i < dim; i++)
+ {
+ amr_dims[i] = 1;
+ amr_origin[i] = 0;
+ }
+ int datalength = 1;
+ for (int i = 0; i < rank; i++)
+ {
+ datalength *= shape[i];
+ amr_dims[i] = shape[rank-i-1];
+ }
+
+ const int cctkDataType = CCTK_VarTypeI(vindex);
+ const hid_t datatype = h5DataType(cctkGH,cctkDataType);
+
+ //cout << "datalength: " << datalength << " rank: " << rank << "\n";
+ //cout << shape[0] << " " << shape[1] << " " << shape[2] << "\n";
+
+ // to do: read in an allocate with correct datatype
+
+ h5data = malloc (CCTK_VarTypeSize (cctkDataType) * datalength);
+ HDF5_ERROR (H5Dread (dataset, datatype, H5S_ALL, H5S_ALL, H5P_DEFAULT,
+ h5data));
+
+ ReadAttribute (dataset, "level", amr_level);
+ ReadAttribute (dataset, "iorigin", amr_origin, rank);
+
+ if(called_from_recovery)
+ {
+ ReadAttribute(dataset,"group_timelevel", group_timelevel);
+ }
+ } // MyProc == 0
+
+ MPI_Bcast (intbuffer, sizeof (intbuffer) / sizeof (*intbuffer), MPI_INT, 0, dist::comm);
+
+#ifdef CARPETIOHDF5_DEBUG
+ cout << "amr_level: " << amr_level << " reflevel: " << reflevel << endl;
+#endif
+
+ if (amr_level == reflevel)
+ {
+ // Traverse all components on all levels
+ BEGIN_MAP_LOOP(cctkGH, grouptype)
+ {
+ BEGIN_COMPONENT_LOOP(cctkGH, grouptype)
+ {
+ did_read_something = true;
+
+ ggf<dim>* ff = 0;
+
+ assert (var < (int)arrdata.at(group).at(Carpet::map).data.size());
+ ff = (ggf<dim>*)arrdata.at(group).at(Carpet::map).data.at(var);
+
+ if(called_from_recovery) tl = group_timelevel;
+
+ gdata<dim>* const data = (*ff) (tl, reflevel, component, mglevel);
+
+ // Create temporary data storage on processor 0
+ vect<int,dim> str = vect<int,dim>(maxreflevelfact/reflevelfact);
+
+ if(grouptype == CCTK_SCALAR || grouptype == CCTK_ARRAY)
+ str = vect<int,dim> (1);
+
+ vect<int,dim> lb = vect<int,dim>::ref(amr_origin) * str;
+ vect<int,dim> ub
+ = lb + (vect<int,dim>::ref(amr_dims) - 1) * str;
+
+ gdata<dim>* const tmp = data->make_typed (vindex);
+
+
+ cGroup cgdata;
+ int ierr = CCTK_GroupData(group,&cgdata);
+ assert(ierr==0);
+ //cout << "lb_before: " << lb << endl;
+ //cout << "ub_before: " << ub << endl;
+ if (cgdata.disttype == CCTK_DISTRIB_CONSTANT) {
+#ifdef CARPETIOHDF5_DEBUG
+ cout << "CCTK_DISTRIB_CONSTANT: " << fullname << endl;
+#endif
+ assert(grouptype == CCTK_ARRAY || grouptype == CCTK_SCALAR);
+ if (grouptype == CCTK_SCALAR) {
+ lb[0] = arrdata.at(group).at(Carpet::map).hh->processors.at(reflevel).at(component);
+ ub[0] = arrdata.at(group).at(Carpet::map).hh->processors.at(reflevel).at(component);
+ for(int i=1;i<dim;i++) {
+ lb[i]=0;
+ ub[i]=0;
+ }
+ } else {
+ const int newlb = lb[gpdim-1] +
+ (ub[gpdim-1]-lb[gpdim-1]+1)*
+ (arrdata.at(group).at(Carpet::map).hh->processors.at(reflevel).at(component));
+ const int newub = ub[gpdim-1] +
+ (ub[gpdim-1]-lb[gpdim-1]+1)*
+ (arrdata.at(group).at(Carpet::map).hh->processors.at(reflevel).at(component));
+ lb[gpdim-1] = newlb;
+ ub[gpdim-1] = newub;
+ }
+#ifdef CARPETIOHDF5_DEBUG
+ cout << "lb: " << lb << endl;
+ cout << "ub: " << ub << endl;
+#endif
+ }
+ const bbox<int,dim> ext(lb,ub,str);
+
+#ifdef CARPETIOHDF5_DEBUG
+ cout << "ext: " << ext << endl;
+#endif
+
+ if (CCTK_MyProc(cctkGH)==0) {
+ tmp->allocate (ext, 0, h5data);
+ } else {
+ tmp->allocate (ext, 0);
+ }
+
+ // Initialise with what is found in the file -- this does
+ // not guarantee that everything is initialised.
+ const bbox<int,dim> overlap = tmp->extent() & data->extent();
+ regions_read.at(Carpet::map) |= overlap;
+
+#ifdef CARPETIOHDF5_DEBUG
+ cout << "working on component: " << component << endl;
+ cout << "tmp->extent " << tmp->extent() << endl;
+ cout << "data->extent " << data->extent() << endl;
+ cout << "overlap " << overlap << endl;
+ cout << "-----------------------------------------------------" << endl;
+#endif
+
+ // FIXME: is this barrier really necessary ??
+ MPI_Barrier(MPI_COMM_WORLD);
+
+ // Copy into grid function
+ for (comm_state<dim> state; !state.done(); state.step()) {
+ data->copy_from (state, tmp, overlap);
+ }
+
+
+ // Delete temporary copy
+ delete tmp;
+
+
+ } END_COMPONENT_LOOP;
+
+ if (called_from_recovery) {
+ arrdata.at(group).at(Carpet::map).tt->set_time(reflevel,mglevel,
+ (CCTK_REAL) ((cctkGH->cctk_time - cctk_initial_time)
+ / (delta_time * mglevelfact)) );
+ }
+
+
+ } END_MAP_LOOP;
+
+ } // if amr_level == reflevel
+
+ free (h5data);
+ free (fullname);
+
+ return did_read_something;
+}
+
+
+
+static int InputVarAs (const cGH* const cctkGH, const int vindex,
+ const char* const alias)
+{
+ DECLARE_CCTK_PARAMETERS;
+
+ char *fullname = CCTK_FullName (vindex);
+ const int group = CCTK_GroupIndexFromVarI (vindex);
+ assert (group>=0 && group<(int)Carpet::arrdata.size());
+
+ int want_dataset = 0;
+ bool did_read_something = false;
+ int ndatasets = 0;
+ hid_t dataset = 0;
+
+ char datasetname[1024];
+
+ // Check for storage
+ if (! CCTK_QueryGroupStorageI(cctkGH, group)) {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Cannot input variable \"%s\" because it has no storage",
+ fullname);
+ free (fullname);
+ return 0;
+ }
+
+ const int grouptype = CCTK_GroupTypeI(group);
+ const int rl = grouptype==CCTK_GF ? reflevel : 0;
+ //cout << "want level " << rl << " reflevel " << reflevel << endl;
+
+ // Find the input directory
+ const char* const myindir = in3D_dir;
+
+ // Invent a file name
+ ostringstream filenamebuf;
+ filenamebuf << myindir << "/" << alias << in3D_extension;
+ string filenamestr = filenamebuf.str();
+ const char * const filename = filenamestr.c_str();
+
+ hid_t reader = -1;
+
+ // Read the file only on the root processor
+ if (CCTK_MyProc(cctkGH)==0) {
+
+ // Open the file
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Opening file \"%s\"", filename);
+ reader = H5Fopen (filename, H5F_ACC_RDONLY, H5P_DEFAULT);
+ if (reader<0) {
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Could not open file \"%s\" for reading", filename);
+ }
+ assert (reader>=0);
+ // get the number of datasets in the file
+ ndatasets=GetnDatasets(reader);
+ }
+
+ vector<ibset> regions_read(Carpet::maps);
+
+ // Broadcast number of datasets
+ MPI_Bcast (&ndatasets, 1, MPI_INT, 0, dist::comm);
+ assert (ndatasets>=0);
+
+
+ for (int datasetid=0; datasetid<ndatasets; ++datasetid) {
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Handling dataset #%d", datasetid);
+
+
+ // Read data
+ if (CCTK_MyProc(cctkGH)==0) {
+ GetDatasetName(reader,datasetid,datasetname);
+ // cout << datasetname << "\n";
+
+ HDF5_ERROR (dataset = H5Dopen (reader, datasetname));
+ }
+
+
+#if 0
+ int amr_level;
+ int amr_origin[dim];
+ int amr_dims[dim];
+#endif
+
+ if (CCTK_MyProc(cctkGH)==0) {
+
+ // Read data
+ char * name;
+ ReadAttribute (dataset, "name", name);
+ // cout << "dataset name is " << name << endl;
+ if (verbose && name) {
+ CCTK_VInfo (CCTK_THORNSTRING, "Dataset name is \"%s\"", name);
+ }
+ want_dataset = name && CCTK_EQUALS(name, fullname);
+ free (name);
+ } // myproc == 0
+
+ MPI_Bcast (&want_dataset, 1, MPI_INT, 0, dist::comm);
+
+ if(want_dataset) {
+ did_read_something = ReadVar(cctkGH,vindex,dataset,regions_read,0);
+ } // want_dataset
+
+ } // loop over datasets
+
+ // Close the file
+ if (CCTK_MyProc(cctkGH)==0) {
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Closing file");
+ HDF5_ERROR (H5Fclose(reader));
+ reader=-1;
+ }
+
+ // Was everything initialised?
+ if (did_read_something) {
+ for (int m=0; m<Carpet::maps; ++m) {
+ dh<dim>& thedd = *arrdata.at(group).at(m).dd;
+ ibset all_exterior;
+ for (size_t c=0; c<thedd.boxes.at(rl).size(); ++c) {
+ all_exterior |= thedd.boxes.at(rl).at(c).at(mglevel).exterior;
+ }
+ if (regions_read.at(m) != all_exterior) {
+#ifdef CARPETIOHDF5_DEBUG
+ cout << "read: " << regions_read.at(m) << endl
+ << "want: " << all_exterior << endl;
+#endif
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Variable \"%s\" could not be initialised from file -- the file may be missing data",
+ fullname);
+ }
+ }
+ } // if did_read_something
+ // CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,"stop!");
+
+ return did_read_something ? 0 : -1;
+
+}
+
+
+int CarpetIOHDF5ReadData (const cGH* const cctkGH)
+{
+ int retval = 0;
+ DECLARE_CCTK_PARAMETERS
+
+
+ int numvars = CCTK_NumVars ();
+ vector<bool> flags (numvars);
+
+ if (CCTK_TraverseString (in3D_vars, SetFlag, &flags, CCTK_GROUP_OR_VAR) < 0)
+ {
+ CCTK_VWarn (strict_io_parameter_check ? 0 : 1,
+ __LINE__, __FILE__, CCTK_THORNSTRING,
+ "error while parsing parameter 'IOHDF5::in3D_vars'");
+ }
+
+ for (int vindex = 0; vindex < numvars; vindex++)
+ {
+ if (flags.at (vindex))
+ {
+ retval = InputVarAs (cctkGH, vindex, CCTK_VarName (vindex));
+ if (retval)
+ {
+ break;
+ }
+ }
+ }
+
+ return (retval);
+}
+
+
+
+#if 0
+/** returns the number of recovered variables */
+int Recover (cGH* const cctkGH, const char *basefilename,
+ const int called_from)
+{
+ assert (cctkGH);
+ assert (basefilename);
+ assert (called_from == CP_INITIAL_DATA
+ || called_from == CP_EVOLUTION_DATA
+ || called_from == CP_RECOVER_PARAMETERS
+ || called_from == CP_RECOVER_DATA
+ || called_from == FILEREADER_DATA);
+
+ // the other modes are not supported yet
+ assert (called_from == FILEREADER_DATA);
+
+ const ioGH * const iogh = (const ioGH *) CCTK_GHExtension (cctkGH, "IO");
+ assert (iogh);
+
+ int num_vars_read = 0;
+ assert (iogh->do_inVars);
+ for (int n=0; n<CCTK_NumVars(); ++n) {
+ if (iogh->do_inVars[n]) {
+ const int ierr = InputVarAs (cctkGH, vindex, basefilename);
+ if (! ierr) {
+ ++ num_vars_read;
+ }
+ }
+ }
+
+ return num_vars_read;
+}
+#endif
+
+} // namespace CarpetIOHDF5
diff --git a/Carpet/CarpetIOHDF5/src/iohdf5.h b/Carpet/CarpetIOHDF5/src/iohdf5.h
new file mode 100644
index 000000000..17ea9d98a
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/src/iohdf5.h
@@ -0,0 +1,44 @@
+/* $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOHDF5/src/iohdf5.h,v 1.7 2004/08/18 16:02:56 tradke Exp $ */
+
+#ifndef CARPETIOHDF5_H
+#define CARPETIOHDF5_H
+
+#ifdef __cplusplus
+namespace CarpetIOHDF5 {
+ extern "C" {
+#endif
+
+#ifdef USE_CHRISTIANS_ROUTINES
+#include "cctk_Arguments.h"
+
+int CarpetIOHDF5Startup (void);
+void CarpetIOHDF5Init (CCTK_ARGUMENTS);
+void CarpetIOHDF5ReadData (CCTK_ARGUMENTS);
+void CarpetIOHDF5_EvolutionCheckpoint (const cGH*);
+void CarpetIOHDF5_InitialDataCheckpoint (const cGH*);
+
+#else
+
+/* Scheduled functions */
+void CarpetIOHDF5Startup (void);
+int CarpetIOHDF5Init (const cGH* const);
+int CarpetIOHDF5ReadData (const cGH* const);
+int CarpetIOHDF5_InitialDataCheckpoint (const cGH* const);
+int CarpetIOHDF5_EvolutionCheckpoint (const cGH* const);
+int CarpetIOHDF5_TerminationCheckpoint (const cGH* const);
+void CarpetIOHDF5EvolutionCheckpoint (const cGH* const);
+void CarpetIOHDF5InitialDataCheckpoint (const cGH* const);
+
+#endif
+
+int CarpetIOHDF5_Recover (cGH* cgh, const char *basefilename, int called_from);
+
+int CarpetIOHDF5_RecoverParameters (void);
+int CarpetIOHDF5_CloseFile (void);
+
+#ifdef __cplusplus
+ } /* extern "C" */
+} /* namespace CarpetIOHDF5 */
+#endif
+
+#endif /* !defined(CARPETIOHDF5_H) */
diff --git a/Carpet/CarpetIOHDF5/src/iohdf5.hh b/Carpet/CarpetIOHDF5/src/iohdf5.hh
new file mode 100644
index 000000000..bfb49386b
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/src/iohdf5.hh
@@ -0,0 +1,198 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOHDF5/src/iohdf5.hh,v 1.12 2004/07/09 15:38:18 tradke Exp $
+
+#ifndef CARPETIOHDF5_HH
+#define CARPETIOHDF5_HH
+
+#include <vector>
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+
+#include "carpet.hh"
+
+#include "iohdf5.h"
+#include "CactusBase/IOUtil/src/ioutil_Utils.h"
+
+/* some macros for HDF5 group names */
+#define METADATA_GROUP "Parameters and Global Attributes"
+#define ALL_PARAMETERS "All Parameters"
+
+// Some MPI Datatypes we need for Recovery
+// Originally written by Thomas Radke.
+
+#ifdef CCTK_INT4
+#define CARPET_MPI_INT4 (sizeof (CCTK_INT4) == sizeof (int) ? MPI_INT : \
+ sizeof (CCTK_INT4) == sizeof (short) ? MPI_SHORT : \
+ MPI_DATATYPE_NULL)
+#endif
+
+#define CARPET_MPI_CHAR MPI_CHAR
+
+/* floating point types are architecture-independent,
+ ie. a float has always 4 bytes, and a double has 8 bytes
+
+ PUGH_MPI_REAL is used for communicating reals of the generic CCTK_REAL type
+ PUGH_MPI_REALn is used to explicitely communicate n-byte reals */
+#ifdef CCTK_REAL4
+#define CARPET_MPI_REAL4 MPI_FLOAT
+#endif
+#ifdef CCTK_REAL8
+#define CARPET_MPI_REAL8 MPI_DOUBLE
+#endif
+#ifdef CCTK_REAL16
+#define CARPET_MPI_REAL16 (sizeof (CCTK_REAL16) == sizeof (long double) ? \
+ MPI_LONG_DOUBLE : MPI_DATATYPE_NULL)
+#endif
+
+
+#ifdef CCTK_REAL_PRECISION_16
+#define CARPET_MPI_REAL CARPET_MPI_REAL16
+#elif CCTK_REAL_PRECISION_8
+#define CARPET_MPI_REAL CARPET_MPI_REAL8
+#elif CCTK_REAL_PRECISION_4
+#define CARPET_MPI_REAL CARPET_MPI_REAL4
+#endif
+
+
+/*** Define the different datatypes used for HDF5 I/O
+ NOTE: the complex datatype SHOULD be [is] defined dynamically at runtime in Startup.c
+ 100% of the definitions below were taken from Thomas Radke's IOHDF5Util thorn for PUGH
+ ***/
+/* char type is easy */
+#define HDF5_CHAR H5T_NATIVE_CHAR
+
+/* floating point types are architecture-independent,
+ ie. a float has always 4 bytes, and a double has 8 bytes
+ HDF5_REAL is used for storing reals of the generic CCTK_REAL type
+ HDF5_REALn is used to explicitely store n-byte reals */
+#ifdef CCTK_REAL4
+#define HDF5_REAL4 H5T_NATIVE_FLOAT
+#endif
+#ifdef CCTK_REAL8
+#define HDF5_REAL8 H5T_NATIVE_DOUBLE
+#endif
+#ifdef CCTK_REAL16
+#define HDF5_REAL16 (sizeof (CCTK_REAL16) == sizeof (long double) ? \
+ H5T_NATIVE_LDOUBLE : -1)
+#endif
+
+
+#ifdef CCTK_REAL_PRECISION_16
+#define HDF5_REAL HDF5_REAL16
+#elif CCTK_REAL_PRECISION_8
+#define HDF5_REAL HDF5_REAL8
+#elif CCTK_REAL_PRECISION_4
+#define HDF5_REAL HDF5_REAL4
+#endif
+
+
+/* integer types are architecture-dependent:
+ HDF5_INT is used for communicating integers of the generic CCTK_INT type
+ HDF5_INTn is used to explicitely communicate n-byte integers */
+#ifdef CCTK_INT8
+#define HDF5_INT8 (sizeof (CCTK_INT8) == sizeof (int) ? H5T_NATIVE_INT : \
+ sizeof (CCTK_INT8) == sizeof (long) ? H5T_NATIVE_LONG : \
+ sizeof (CCTK_INT8) == sizeof (long long) ? \
+ H5T_NATIVE_LLONG : -1)
+#endif
+
+#ifdef CCTK_INT4
+#define HDF5_INT4 (sizeof (CCTK_INT4) == sizeof (int) ? H5T_NATIVE_INT : \
+ sizeof (CCTK_INT4) == sizeof (short) ? \
+ H5T_NATIVE_SHORT : -1)
+#endif
+
+#ifdef CCTK_INT2
+#define HDF5_INT2 (sizeof (CCTK_INT2) == sizeof (short) ? \
+ H5T_NATIVE_SHORT : -1)
+#endif
+
+#ifdef CCTK_INT1
+#define HDF5_INT1 H5T_NATIVE_CHAR
+#endif
+
+#ifdef CCTK_INTEGER_PRECISION_8
+#define HDF5_INT HDF5_INT8
+#elif CCTK_INTEGER_PRECISION_4
+#define HDF5_INT HDF5_INT4
+#elif CCTK_INTEGER_PRECISION_2
+#define HDF5_INT HDF5_INT2
+#elif CCTK_INTEGER_PRECISION_1
+#define HDF5_INT HDF5_INT1
+#endif
+
+/* Nice error handling. Stolen from Thomas Radke */
+/* check return code of HDF5 call and print a warning in case of an error */
+#define HDF5_ERROR(fn_call) \
+ { \
+ int _error_code = fn_call; \
+ \
+ \
+ if (_error_code < 0) \
+ { \
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING, \
+ "HDF5 call '%s' returned error code %d", \
+ #fn_call, _error_code); \
+ } \
+ }
+
+
+
+
+namespace CarpetIOHDF5 {
+
+ using namespace std;
+ using namespace Carpet;
+
+ // Variable definitions
+ extern vector<bool> do_truncate; // [var]
+ extern vector<vector<vector<int> > > last_output; // [ml][rl][var]
+
+ void* SetupGH (tFleshConfig* const fc,
+ const int convLevel, cGH* const cctkGH);
+
+ int OutputGH (const cGH* const cctkGH);
+ int WriteVar (const cGH* const cctkGH, const hid_t writer, const ioRequest* request,
+ const int called_from_checkpoint);
+ int OutputVarAs (const cGH* const cctkGH, const char* const varname,
+ const char* const alias);
+
+ int TimeToOutput (const cGH* const cctkGH, const int vindex);
+ int TriggerOutput (const cGH* const cctkGH, const int vindex);
+
+ int InputGH (const cGH* const cctkGH);
+ int ReadVar (const cGH* const cctkGH, const int vindex,
+ const hid_t currdataset, vector<ibset> &regions_read,
+ const int called_from_recovery);
+
+ int Recover (cGH* cgh, const char *basefilename, int called_from);
+
+ // auxiliary functions defined in iohdf5utils.cc
+
+ bool CheckForVariable (const char* const varlist, const int vindex);
+ void SetFlag (int index, const char* optstring, void* arg);
+
+ void WriteAttribute (const hid_t dataset, const char* name, int value);
+ void WriteAttribute (const hid_t dataset, const char* name, const int* values, int nvalues);
+ void WriteAttribute (const hid_t dataset, const char* name, double value);
+ void WriteAttribute (const hid_t dataset, const char* name, const double* values, int nvalues);
+ void WriteAttribute (const hid_t dataset, const char* name, char value);
+ void WriteAttribute (const hid_t dataset, const char* name, const char* values);
+ void WriteAttribute (const hid_t dataset, const char* name, const char* values, int nvalues);
+
+ int ReadAttribute (const hid_t dataset, const char* name, int& value);
+ int ReadAttribute (const hid_t dataset, const char* name, int* values, int nvalues);
+ int ReadAttribute (const hid_t dataset, const char* name, double& value);
+ int ReadAttribute (const hid_t dataset, const char* name, double* values, int nvalues);
+ int ReadAttribute (const hid_t dataset, const char* name, char& value);
+ int ReadAttribute (const hid_t dataset, const char* name, char*& values);
+ int ReadAttribute (const hid_t dataset, const char* name, char* values, int nvalues);
+
+ int GetnDatasets (const hid_t reader);
+ void GetDatasetName (const hid_t reader, const int _index, char* name);
+
+ hid_t h5DataType(const cGH* const cctkGH, int cctk_type);
+
+} // namespace CarpetIOHDF5
+
+#endif // !defined(CARPETIOHDF5_HH)
diff --git a/Carpet/CarpetIOHDF5/src/iohdf5GH.h b/Carpet/CarpetIOHDF5/src/iohdf5GH.h
new file mode 100644
index 000000000..0516201c2
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/src/iohdf5GH.h
@@ -0,0 +1,56 @@
+// This was adopted from Thomas Radke's IOHDF5 thorn.
+// Thanks, Thomas!
+
+#ifndef _CARPETIOHDF5_IOHDF5GH_H_
+#define _CARPETIOHDF5_IOHDF5GH_H_ 1
+
+#include "StoreNamedData.h"
+
+/* I took basically everything in this file from Thomas' IOHDF5; much of
+ below is still unused.. */
+
+/* CARPET IOHDF5 GH extension structure */
+typedef struct
+{
+ /* default number of times to output */
+ int out_every_default;
+
+ /* number of times to output for each variable */
+ CCTK_INT *out_every;
+
+ /* the last iteration output for each variable */
+ int *out_last;
+
+ /* list of variables to output */
+ char *out_vars;
+
+ /* I/O request description list (for all variables) */
+ ioRequest **requests;
+
+ /* directory in which to output */
+ char *out_dir;
+
+ /* filename database for opened files */
+ pNamedData *open_output_files;
+
+ /* timer array for checkpointing/recovery */
+ // int timers[IOHDF5_NUM_TIMERS];
+
+ /* flag to indicate request for timer output */
+ // int print_timing_info;
+
+ /* ring buffer for list of successfully created cp files */
+ int cp_filename_index;
+ char **cp_filename_list;
+
+ /* iteration number of the last checkpoint */
+ int last_checkpoint_iteration;
+
+ /* hdf5 datatype for stupid complex variables; to be set at run time */
+ hid_t HDF5_COMPLEX, HDF5_COMPLEX8, HDF5_COMPLEX16, HDF5_COMPLEX32;
+
+
+} CarpetIOHDF5GH;
+
+
+#endif
diff --git a/Carpet/CarpetIOHDF5/src/iohdf5chckpt_recover.cc b/Carpet/CarpetIOHDF5/src/iohdf5chckpt_recover.cc
new file mode 100644
index 000000000..f8e6b9a3d
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/src/iohdf5chckpt_recover.cc
@@ -0,0 +1,914 @@
+#include <assert.h>
+#include <limits.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <sys/stat.h>
+#include <sys/types.h>
+
+#include <algorithm>
+#include <fstream>
+#include <sstream>
+#include <string>
+#include <vector>
+
+#include <hdf5.h>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+#include "cctk_Version.h"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOHDF5/src/iohdf5chckpt_recover.cc,v 1.36 2004/07/07 11:01:05 tradke Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetIOHDF5_iohdf5chckpt_recover_cc);
+}
+
+#include "CactusBase/IOUtil/src/ioGH.h"
+#include "CactusBase/IOUtil/src/ioutil_CheckpointRecovery.h"
+
+#include "bbox.hh"
+#include "data.hh"
+#include "gdata.hh"
+#include "ggf.hh"
+#include "vect.hh"
+
+#include "carpet.hh"
+
+#include "iohdf5.hh"
+#include "iohdf5GH.h"
+
+/* some macros for HDF5 group names */
+#define PARAMETERS_GLOBAL_ATTRIBUTES_GROUP "Parameters and Global Attributes"
+#define ALL_PARAMETERS "All Parameters"
+
+
+
+namespace CarpetIOHDF5 {
+
+ using namespace std;
+ using namespace Carpet;
+
+ // linked list for reading in the checkpoint file
+
+ list<string> datasetnamelist;
+
+ int Checkpoint (const cGH* const cctkGH, int called_from);
+ int DumpParametersGHExtentions (const cGH *cctkGH, int all, hid_t writer);
+
+ int RecoverParameters (hid_t reader);
+ int RecoverGHextensions (cGH* cctkGH, hid_t reader);
+ int RecoverVariables (cGH* cctkGH, hid_t reader);
+
+ void CarpetIOHDF5InitialDataCheckpoint( const cGH* const cgh){
+
+ DECLARE_CCTK_PARAMETERS;
+
+ if (checkpoint && checkpoint_ID)
+ {
+ CCTK_INFO ("---------------------------------------------------------");
+ CCTK_INFO ("Dumping initial data checkpoint");
+ CCTK_INFO ("---------------------------------------------------------");
+
+ Checkpoint (cgh, CP_INITIAL_DATA);
+ }
+ } // CarpetIOHDF5_InitialDataCheckpoint
+
+
+ void CarpetIOHDF5EvolutionCheckpoint( const cGH* const cgh){
+
+ DECLARE_CCTK_PARAMETERS;
+
+ // Test checkpoint_every, and adjust it. This is necessary until
+ // recovery is more flexible.
+ int every_full = pow(2.0,maxreflevels-1);
+ if (checkpoint_every>0 && (checkpoint_every % every_full) != 0) {
+ int every = (checkpoint_every / every_full + 1) * every_full;
+ ostringstream outevery;
+ outevery << every;
+ CCTK_ParameterSet("checkpoint_every","IOUtil",
+ outevery.str().c_str());
+ CCTK_VInfo (CCTK_THORNSTRING,"I have adjusted your checkpoint_every to %i.",every);
+
+ }
+
+ if (checkpoint &&
+ ((checkpoint_every > 0 && cgh->cctk_iteration % checkpoint_every == 0) ||
+ checkpoint_next))
+ {
+ CCTK_INFO ("---------------------------------------------------------");
+ CCTK_VInfo (CCTK_THORNSTRING, "Dumping periodic checkpoint at "
+ "iteration %d", cgh->cctk_iteration);
+ CCTK_INFO ("---------------------------------------------------------");
+
+ Checkpoint (cgh, CP_EVOLUTION_DATA);
+
+ if (checkpoint_next)
+ {
+ CCTK_ParameterSet ("checkpoint_next", CCTK_THORNSTRING, "no");
+ }
+ }
+ } // CarpetIOHDF5_EvolutionCheckpoint
+
+
+ int CarpetIOHDF5RecoverParameters(void){
+ // Register with the Cactus Recovery Interface
+ return (IOUtil_RecoverParameters (CarpetIOHDF5_Recover, ".h5", "HDF5"));
+ }
+
+ int CarpetIOHDF5_Recover (cGH* cctkGH, const char *basefilename, int called_from) {
+
+ DECLARE_CCTK_PARAMETERS;
+
+ int result=0;
+ int myproc=-1;
+
+ CarpetIOHDF5GH *myGH;
+
+
+ static hid_t reader=0; //this thing absolutely needs to be static!!!
+
+ myGH = NULL;
+
+ myproc = CCTK_MyProc (cctkGH);
+
+
+ if (called_from == CP_RECOVER_PARAMETERS) {
+ // Okay, let's see what we can do about the parameters
+
+ // Invent a file name
+ ostringstream filenamebuf;
+
+ // if(CCTK_nProcs(cctkGH) == 1)
+ filenamebuf << recover_dir << "/" << basefilename << ".h5";
+ //else
+ // filenamebuf << recover_dir << "/" << basefilename << ".file_0.h5";
+
+ string filenamestr = filenamebuf.str();
+ const char * const filename = filenamestr.c_str();
+
+ if (myproc == 0) {
+ // First, open the file
+ if (verbose)
+ CCTK_VInfo(CCTK_THORNSTRING, "Opening Checkpoint file %s for recovery",filename);
+ reader = H5Fopen (filename, H5F_ACC_RDONLY, H5P_DEFAULT);
+ if (reader<0) {
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Could not recover from \"%s\"", filename);
+ }
+ } // myproc == 0
+ }
+ else {
+ /* This is the case for CP_RECOVER_DATA.
+ CCTK_RECOVER_PARAMETERS must have been called before
+ and set up the file info structure. */
+ if (myproc == 0) {
+ assert(reader>=0);
+ }
+ }
+
+ if (called_from == CP_RECOVER_PARAMETERS)
+ {
+ return (RecoverParameters (reader));
+ }
+
+ if (called_from == CP_RECOVER_DATA) {
+ CCTK_INT4 numberofmgtimes=0;
+
+ CCTK_VInfo(CCTK_THORNSTRING,"Starting to recover data on reflevel %d!!!",reflevel);
+
+ if (myproc == 0) {
+
+ // Use refinement levels parameter from checkpointing file?
+ if (use_reflevels_from_checkpoint && reflevel==0) {
+
+ herr_t herr;
+
+ hid_t group = H5Gopen (reader, PARAMETERS_GLOBAL_ATTRIBUTES_GROUP);
+ assert(group >= 0);
+ hid_t dataset = H5Dopen (group, ALL_PARAMETERS);
+ assert(dataset>= 0);
+
+ int reflevels_chkpt;
+
+ ReadAttribute (dataset, "carpet_reflevels", reflevels_chkpt);
+
+ herr = H5Dclose(dataset);
+ assert(!herr);
+ herr = H5Gclose(group);
+ assert(!herr);
+
+ ostringstream reflevels_str;
+ reflevels_str << reflevels_chkpt;
+ CCTK_ParameterSet ("refinement_levels","CarpetRegrid",reflevels_str.str().c_str());
+
+ CCTK_VInfo (CCTK_THORNSTRING, "Using %i reflevels read from checkpoint file. Ignoring value in parameter file.", reflevels_chkpt);
+
+ }
+
+ /* we need all the times on the individual levels */
+ // these are a bit messy to extract
+
+ // Actually, we do have to do this only once
+
+ hid_t group = H5Gopen (reader, PARAMETERS_GLOBAL_ATTRIBUTES_GROUP);
+ assert(group>=0);
+ hid_t dataset = H5Dopen (group, ALL_PARAMETERS);
+ assert(dataset >= 0);
+ hid_t attr = H5Aopen_name (dataset, "numberofmgtimes");
+ assert(attr >= 0);
+ hid_t atype = H5Aget_type (attr);
+ if(H5Tequal(atype, H5T_NATIVE_INT)) {
+ herr_t herr = H5Aread(attr, atype, &numberofmgtimes);
+ assert(!herr);
+ herr = H5Aclose(attr);
+ assert(numberofmgtimes==mglevels);
+ char buffer[100];
+ for(int lcv=0;lcv<numberofmgtimes;lcv++) {
+ sprintf(buffer,"mgleveltimes %d",lcv);
+ attr = H5Aopen_name(dataset, buffer);
+ assert (attr>=0);
+ atype = H5Aget_type (attr);
+ assert (atype>=0);
+ herr = H5Aread (attr, atype, &leveltimes.at(lcv).at(0));
+ assert(!herr);
+ herr = H5Aclose(attr);
+ assert(!herr);
+ }
+ herr = H5Dclose(dataset);
+ assert(!herr);
+ herr = H5Gclose(group);
+ assert(!herr);
+ } else {
+ CCTK_WARN(0,"BAD BAD BAD! Can't read leveltimes!!");
+ }
+
+ } // myproc == 0
+
+
+ // communicate the time on all the mglevels and reflevels
+
+ int mpierr = MPI_Bcast (&numberofmgtimes, 1, CARPET_MPI_INT4, 0,MPI_COMM_WORLD);
+ assert(!mpierr);
+
+
+ for(int i=0;i<numberofmgtimes;i++) {
+ mpierr = MPI_Bcast (&(leveltimes.at(i).at(0)), reflevels, CARPET_MPI_REAL, 0, MPI_COMM_WORLD);
+ assert(!mpierr);
+ }
+
+ if (verbose) {
+ cout << "leveltimes: " << leveltimes << endl;
+ }
+
+ cctkGH->cctk_time = leveltimes.at(mglevel).at(reflevel);
+
+ result += RecoverGHextensions(cctkGH,reader);
+
+
+ if (verbose) {
+ cout << "reflevel: " << reflevel << endl;
+ }
+
+ result += RecoverVariables (cctkGH,reader);
+
+
+ CCTK_VInfo (CCTK_THORNSTRING,
+ "Restarting simulation at iteration %d (physical time %g)",
+ cctkGH->cctk_iteration, (double) cctkGH->cctk_time);
+
+ } // called_from == CP_RECOVER_DATA
+
+ if (reflevel==maxreflevels) {
+ if(myproc == 0) {
+ H5Fclose(reader);
+ }
+ }
+
+ return (result);
+ } // CarpetIOHDF5_Recover
+
+
+ int RecoverVariables (cGH* cctkGH, hid_t reader) {
+
+ DECLARE_CCTK_PARAMETERS;
+
+ int retval = 0;
+ int myproc = CCTK_MyProc (cctkGH);
+ char * name;
+
+ int ndatasets;
+
+ int varindex;
+
+ double datasettime;
+ double leveltime;
+ static double totaltime;
+
+ hid_t dataset;
+ herr_t herr;
+
+ list<string> refleveldatasetnamelist;
+
+ if (reflevel==0) {
+ totaltime = 0;
+ }
+
+ leveltime = MPI_Wtime();
+
+
+ if(myproc==0) {
+ ndatasets=GetnDatasets(reader);
+ assert (ndatasets>=0);
+ }
+
+ // Broadcast number of datasets
+ MPI_Bcast (&ndatasets, 1, MPI_INT, 0, dist::comm);
+
+ assert ((ndatasets)>=0);
+
+ //if (verbose && reflevel==0) cout << "ndatasets: " << ndatasets << endl;
+ if ( reflevel == 0) {
+ cout << "ndatasets: " << ndatasets << endl;
+ }
+
+ if (reflevel==0) {
+ for (int currdataset=0;currdataset<ndatasets+1;currdataset++){
+ char datasetname[256];
+ if (myproc==0) {
+ GetDatasetName(reader,currdataset,datasetname);
+ datasetnamelist.push_back(datasetname);
+ } //myproc = 0
+ else {
+ datasetnamelist.push_back("blah");
+ }
+ }
+ }
+
+ cout << "I have " << datasetnamelist.size() << endl;
+
+ double comparetime = MPI_Wtime();
+
+ if(myproc==0) {
+ // for(currdataset=datasetnamelist.begin();
+ // currdataset!=datasetnamelist.end();
+ // ++currdataset) {
+
+ list<string>::iterator currdataset;
+ currdataset=datasetnamelist.begin();
+ while(currdataset!=datasetnamelist.end()) {
+ char tempstr[10];
+ sprintf(tempstr,"rl=%d m=",reflevel);
+ if ( (*currdataset).find(tempstr) < (*currdataset).size() ) {
+ refleveldatasetnamelist.push_back((*currdataset).c_str());
+ currdataset = datasetnamelist.erase(currdataset);
+ } else {
+ ++currdataset;
+ } // if ...
+ } // while ...
+ } // if(myproc==0)
+
+
+
+
+ static long reflevelnamenum; // static keeps this thing local
+
+ if(myproc==0) {
+ reflevelnamenum=refleveldatasetnamelist.size();
+ }
+
+ MPI_Bcast (&reflevelnamenum, 1, MPI_LONG, 0, dist::comm);
+ assert ((reflevelnamenum)>=0);
+
+ // fill bogus namelist for non-IO cpus
+ if(myproc !=0) {
+ for(long i=0;i < reflevelnamenum;i++) {
+ refleveldatasetnamelist.push_back("blah");
+ }
+ }
+
+ comparetime = MPI_Wtime() - comparetime;
+ cout << "Time for string comparison: " << comparetime << endl;
+ cout << "I have for this reflevel " << refleveldatasetnamelist.size() << endl;
+
+ list<string>::iterator currdataset;
+
+ currdataset=refleveldatasetnamelist.begin();
+
+ while(currdataset!=refleveldatasetnamelist.end()) {
+
+ // cout << "name: " << (*currdataset).c_str() << endl;
+
+ if (myproc==0) {
+ dataset = H5Dopen (reader, (*currdataset).c_str());
+ assert(dataset);
+ // Read data
+ ReadAttribute (dataset, "name", name);
+ varindex = CCTK_VarIndex(name);
+ }
+
+ MPI_Bcast (&varindex, 1, MPI_INT, 0, dist::comm);
+
+ name = CCTK_FullName(varindex);
+
+ if (verbose) {
+ cout << name << " rl: " << reflevel << endl;
+ }
+ vector<ibset> regions_read(Carpet::maps);
+
+ assert (varindex>=0 && varindex<CCTK_NumVars());
+ const int group = CCTK_GroupIndexFromVarI (varindex);
+ const int grouptype = CCTK_GroupTypeI(group);
+
+ int did_read_something = ReadVar(cctkGH,name,dataset,regions_read,1);
+
+ MPI_Bcast (&did_read_something, 1, MPI_INT, 0, dist::comm);
+
+ if (did_read_something) {
+ currdataset = refleveldatasetnamelist.erase(currdataset);
+ } else {
+ ++currdataset;
+ }
+
+ if(myproc==0) {
+ herr = H5Dclose(dataset);
+ assert(!herr);
+ }
+ free(name);
+
+ } // for (currdataset ... )
+ leveltime = MPI_Wtime() - leveltime;
+ totaltime = totaltime + leveltime;
+
+ cout << "Timers: leveltime: " << leveltime << " totaltime: " << totaltime << endl;
+
+ return retval;
+ }
+
+
+ int RecoverGHextensions (cGH *cctkGH, hid_t reader)
+ {
+ const int myproc = CCTK_MyProc(cctkGH);
+ CCTK_INT4 int4Buffer[3];
+ CCTK_REAL realBuffer;
+ CCTK_REAL realBuffer2;
+ CCTK_INT4 intbuffer;
+
+ int mpierr = 0;
+
+ if (myproc==0)
+ {
+
+ // First open group and dataset
+ hid_t group = H5Gopen (reader, PARAMETERS_GLOBAL_ATTRIBUTES_GROUP);
+ assert(group>=0);
+ hid_t dataset = H5Dopen (group, ALL_PARAMETERS);
+ assert(dataset >= 0);
+
+ ReadAttribute(dataset,"GH$iteration",int4Buffer[0]);
+ ReadAttribute(dataset,"main loop index",int4Buffer[1]);
+ ReadAttribute(dataset,"carpet_global_time",realBuffer);
+ // ReadAttribute(dataset,"carpet_reflevels",int4Buffer[2]);
+ ReadAttribute(dataset,"carpet_delta_time",realBuffer2);
+
+ herr_t herr = H5Dclose(dataset);
+ assert(!herr);
+ herr = H5Gclose(group);
+ assert(!herr);
+
+ }
+ /* Broadcast the GH extensions to all processors */
+ /* NOTE: We have to use MPI_COMM_WORLD here
+ because PUGH_COMM_WORLD is not yet set up at parameter recovery time.
+ We also assume that PUGH_MPI_INT4 is a compile-time defined datatype. */
+
+ mpierr = MPI_Bcast (int4Buffer, 3, CARPET_MPI_INT4, 0,MPI_COMM_WORLD);
+ assert(!mpierr);
+ mpierr = MPI_Bcast (int4Buffer, 3, CARPET_MPI_INT4, 0,MPI_COMM_WORLD);
+ assert(!mpierr);
+ mpierr = MPI_Bcast (&realBuffer, 1, CARPET_MPI_REAL,0,MPI_COMM_WORLD);
+ assert(!mpierr);
+ mpierr = MPI_Bcast (&realBuffer2, 1, CARPET_MPI_REAL,0,MPI_COMM_WORLD);
+ assert(!mpierr);
+
+ global_time = (CCTK_REAL) realBuffer;
+ delta_time = (CCTK_REAL) realBuffer2;
+ // reflevels = (int) int4Buffer[2];
+ cctkGH->cctk_iteration = (int) int4Buffer[0];
+ CCTK_SetMainLoopIndex ((int) int4Buffer[1]);
+
+
+ return (0);
+
+ } // RecoverGHExtensions
+
+ int RecoverParameters(hid_t reader){
+
+ DECLARE_CCTK_PARAMETERS;
+
+ int myproc, retval;
+ char *parameters;
+ CCTK_INT4 parameterSize;
+
+ hid_t group,dataset;
+ herr_t herr;
+
+ int mpierr;
+
+ myproc = CCTK_MyProc (NULL);
+
+ if (myproc == 0){
+ CCTK_VInfo (CCTK_THORNSTRING, "Recovering parameters from checkpoint ");
+
+ group = H5Gopen (reader, PARAMETERS_GLOBAL_ATTRIBUTES_GROUP);
+ assert(group >= 0);
+ dataset = H5Dopen (group, ALL_PARAMETERS);
+ assert(dataset>= 0);
+
+ parameterSize = H5Dget_storage_size (dataset);
+ parameters = (char *) malloc (parameterSize);
+ herr = H5Dread (dataset, H5T_NATIVE_CHAR, H5S_ALL, H5S_ALL,
+ H5P_DEFAULT, parameters);
+ assert(!herr);
+ herr = H5Dclose(dataset);
+ assert(!herr);
+ herr = H5Gclose(group);
+ assert(!herr);
+
+ if(verbose) {
+ CCTK_VInfo (CCTK_THORNSTRING, "\n%s\n",parameters);
+ }
+
+ CCTK_VInfo(CCTK_THORNSTRING, "Successfully recovered parameters!");
+ } // myproc == 0
+
+ /* Broadcast the parameter buffer size to all processors */
+ /* NOTE: We have to use MPI_COMM_WORLD here
+ because CARPET_COMM_WORLD is not yet set up at parameter recovery time.
+ We also assume that CARPET_MPI_INT4 is a compile-time defined datatype. */
+ mpierr = MPI_Bcast (&parameterSize, 1, CARPET_MPI_INT4, 0,
+ MPI_COMM_WORLD);
+ assert(!mpierr);
+
+ if (parameterSize > 0) {
+ if (myproc) {
+ parameters = (char*) malloc (parameterSize + 1);
+ }
+
+ mpierr = MPI_Bcast (parameters, parameterSize + 1, CARPET_MPI_CHAR,
+ 0,MPI_COMM_WORLD);
+ assert(!mpierr);
+
+ IOUtil_SetAllParameters (parameters);
+
+ free (parameters);
+ }
+
+ /* return positive value for success otherwise negative */
+ retval = (parameterSize > 0 ? 1 : -1);
+
+ return (retval);
+
+ } // RecoverParameters
+
+
+
+ int Checkpoint (const cGH* const cctkGH, int called_from)
+ {
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ herr_t herr;
+
+ int retval = 0;
+
+ const ioGH *ioUtilGH;
+
+ ioRequest *request;
+
+ CarpetIOHDF5GH *myGH;
+ myGH = (CarpetIOHDF5GH *) CCTK_GHExtension (cctkGH, "CarpetIOHDF5");
+
+ // check if CarpetIOHDF5 was registered as I/O method
+ if (myGH == NULL) {
+ CCTK_WARN (0, "No CarpetIOHDF5 I/O methods registered");
+ return -1;
+ }
+
+ int const myproc = CCTK_MyProc (cctkGH);
+
+
+
+ // Invent a file name
+ ostringstream cp_tempname_buf;
+ ostringstream cp_filename_buf;
+
+ switch (called_from)
+ {
+ case CP_INITIAL_DATA:
+ cp_tempname_buf << checkpoint_dir << "/tmp_" << checkpoint_ID_file << ".it_" << cctkGH->cctk_iteration << ".h5";
+ cp_filename_buf << checkpoint_dir << "/" << checkpoint_ID_file << ".it_" << cctkGH->cctk_iteration << ".h5";
+ break;
+
+ case CP_EVOLUTION_DATA:
+ cp_tempname_buf << checkpoint_dir << "/tmp_" << checkpoint_file << ".it_" << cctkGH->cctk_iteration << ".h5";
+ cp_filename_buf << checkpoint_dir << "/" << checkpoint_file << ".it_" << cctkGH->cctk_iteration << ".h5";
+ break;
+
+ case CP_RECOVER_DATA:
+ case CP_RECOVER_PARAMETERS:
+ case FILEREADER_DATA:
+ cp_tempname_buf << recover_dir << "/tmp_" << recover_file << ".h5";
+ cp_filename_buf << recover_dir << "/" << recover_file << ".h5";
+ break;
+
+ default:
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "IOUtil_PrepareFilename: Unknown calling mode %d",
+ called_from);
+ break;
+ }
+
+ string const cp_tempname_str = cp_tempname_buf.str();
+ string const cp_filename_str = cp_filename_buf.str();
+ char const * const cp_tempname = cp_tempname_str.c_str();
+ char const * const cp_filename = cp_filename_str.c_str();
+
+
+
+ hid_t writer = -1;
+
+ if (myproc == 0) {
+
+ if (verbose) {
+ CCTK_VInfo (CCTK_THORNSTRING, "Creating temporary checkpoint file '%s'", cp_tempname);
+ }
+
+ CCTK_VInfo (CCTK_THORNSTRING, "Creating temporary checkpoint file '%s'", cp_tempname);
+
+ CCTK_VInfo (CCTK_THORNSTRING, "Verbose = %d", verbose);
+
+ writer = H5Fcreate (cp_tempname, H5F_ACC_TRUNC, H5P_DEFAULT, H5P_DEFAULT);
+ assert (writer>=0);
+ herr = H5Fclose (writer);
+ assert (!herr);
+ writer = -1;
+
+ // Now open the file
+
+ writer = H5Fopen (cp_tempname, H5F_ACC_RDWR, H5P_DEFAULT);
+ assert (writer>=0);
+
+ // Dump all parameters and GHExtentions
+ retval += DumpParametersGHExtentions (cctkGH, 1, writer);
+ assert(!retval);
+
+ } // myproc == 0
+
+
+ // now dump the grid variables on all mglevels, reflevels, maps and components
+ BEGIN_MGLEVEL_LOOP(cctkGH) {
+
+ BEGIN_REFLEVEL_LOOP(cctkGH) {
+
+ if (verbose)
+ {
+ CCTK_INFO ("Dumping Grid Variables ...");
+ }
+ for (int group = CCTK_NumGroups () - 1; group >= 0; group--)
+ {
+ /* only dump groups which have storage assigned */
+
+ if (CCTK_QueryGroupStorageI (cctkGH, group) <= 0)
+ {
+ continue;
+ }
+
+ const int grouptype = CCTK_GroupTypeI(group);
+
+ /* scalars and grid arrays only have 1 reflevel: */
+ if ( (grouptype != CCTK_GF) && (reflevel != 0) ) {
+ continue;
+ }
+ /* now check if there is any memory allocated
+ for GFs and GAs. GSs should always have
+ memory allocated and there is at this point
+ no CCTK function to check this :/
+ */
+
+ if ( (grouptype == CCTK_GF) || (grouptype == CCTK_ARRAY)){
+ const int gpdim = CCTK_GroupDimI(group);
+ int gtotalsize=1;
+ vector<int> tlsh(gpdim);
+ assert(!CCTK_GrouplshGI(cctkGH,gpdim,&tlsh[0],group));
+ for(int i=0;i<gpdim;i++) {
+ gtotalsize=tlsh[i];
+ }
+ if(gtotalsize == 0){
+ if (verbose) CCTK_VInfo(CCTK_THORNSTRING,
+ "Group %s is zero-sized. No checkpoint info written",CCTK_GroupName(group));
+ continue;
+ }
+ }
+
+ /* get the number of allocated timelevels */
+ cGroup gdata;
+ CCTK_GroupData (group, &gdata);
+ gdata.numtimelevels = 0;
+ gdata.numtimelevels = CCTK_GroupStorageIncrease (cctkGH, 1, &group,
+ &gdata.numtimelevels,NULL);
+
+ int first_vindex = CCTK_FirstVarIndexI (group);
+
+ /* get the default I/O request for this group */
+ request = IOUtil_DefaultIORequest (cctkGH, first_vindex, 1);
+
+ /* disable checking for old data objects, disable datatype conversion
+ and downsampling */
+ request->check_exist = 0;
+ request->hdatatype = gdata.vartype;
+ for (request->hdim = 0; request->hdim < request->vdim; request->hdim++)
+ {
+ request->downsample[request->hdim] = 1;
+ }
+
+ /* loop over all variables in this group */
+ for (request->vindex = first_vindex;
+ request->vindex < first_vindex + gdata.numvars;
+ request->vindex++)
+ {
+ /* loop over all timelevels of this variable */
+ for (request->timelevel = 0;
+ request->timelevel < gdata.numtimelevels;
+ request->timelevel++)
+ {
+ if (verbose)
+ {
+ char *fullname = CCTK_FullName (request->vindex);
+ if (fullname != NULL) {
+ CCTK_VInfo (CCTK_THORNSTRING, " %s (timelevel %d)",
+ fullname, request->timelevel);
+ free (fullname);
+ }
+ else {
+ CCTK_VWarn(1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Invalid variable with varindex %d", request->vindex);
+ }
+ }
+ // write the var
+
+ if (grouptype == CCTK_ARRAY || grouptype == CCTK_GF || grouptype == CCTK_SCALAR)
+ {
+ char* fullname = CCTK_FullName (request->vindex);
+ if (verbose)
+ CCTK_VInfo (CCTK_THORNSTRING,"%s: reflevel: %d map: %d component: %d grouptype: %d ",
+ fullname,reflevel,Carpet::map,component,grouptype);
+ free(fullname);
+ retval += WriteVar(cctkGH,writer,request,1);
+ }
+ else
+ {
+ char *fullname = CCTK_FullName (request->vindex);
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Invalid group type %d for variable '%s'", grouptype, fullname);
+ free(fullname);
+ retval = -1;
+ }
+
+ }
+ } /* end of loop over all variables */
+ } /* end of loop over all groups */
+ } END_REFLEVEL_LOOP;
+
+ } END_MGLEVEL_LOOP;
+
+
+ if (myproc==0) {
+ // Close the file
+ herr = H5Fclose(writer);
+ assert(!herr);
+ }
+
+ if (retval == 0) {
+ if (myproc==0) {
+ if (rename (cp_tempname, cp_filename))
+ {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Could not rename temporary checkpoint file '%s' to '%s'",
+ cp_tempname, cp_filename);
+ retval = -1;
+ }
+ else {
+ if (myGH->cp_filename_list[myGH->cp_filename_index]) {
+ if (checkpoint_keep > 0) {
+ remove (myGH->cp_filename_list[myGH->cp_filename_index]);
+ }
+ free (myGH->cp_filename_list[myGH->cp_filename_index]);
+ }
+ myGH->cp_filename_list[myGH->cp_filename_index] = strdup (cp_filename);
+ myGH->cp_filename_index = (myGH->cp_filename_index+1) % abs (checkpoint_keep);
+ } // else
+ } // myproc == 0
+ } // retval == 0
+
+ return retval;
+
+ } // Checkpoint
+
+
+ int DumpParametersGHExtentions (const cGH *cctkGH, int all, hid_t writer)
+ {
+ // large parts of this routine were taken from
+ // Thomas Radke's IOHDF5Util. Thanks Thomas!
+
+ DECLARE_CCTK_PARAMETERS;
+
+ char *parameters;
+ hid_t group, dataspace, dataset;
+ hsize_t size;
+ herr_t herr;
+
+ CCTK_INT4 itmp;
+ CCTK_REAL dtmp;
+ const char *version;
+ ioGH *ioUtilGH;
+
+ if (verbose) {
+ CCTK_INFO ("Dumping Parameters and GH Extentions...");
+ }
+
+ /* get the parameter string buffer */
+ parameters = IOUtil_GetAllParameters (cctkGH, all);
+
+ if (parameters)
+ {
+ size = strlen (parameters) + 1;
+ group = H5Gcreate (writer, PARAMETERS_GLOBAL_ATTRIBUTES_GROUP, 0);
+ assert(group>=0);
+ dataspace = H5Screate_simple (1, &size, NULL);
+ assert(dataspace>=0);
+ dataset = H5Dcreate (group, ALL_PARAMETERS, H5T_NATIVE_UCHAR,
+ dataspace, H5P_DEFAULT);
+ assert(dataset>=0);
+ herr = H5Dwrite (dataset, H5T_NATIVE_CHAR, H5S_ALL, H5S_ALL,
+ H5P_DEFAULT, parameters);
+ assert(!herr);
+
+ // now dump the GH Extentions
+
+ /* get the handle for IOUtil extensions */
+ ioUtilGH = (ioGH *) CCTK_GHExtension (cctkGH, "IO");
+
+ itmp = CCTK_MainLoopIndex ();
+ WriteAttribute(dataset,"main loop index",itmp);
+
+ itmp = cctkGH->cctk_iteration;
+ WriteAttribute(dataset,"GH$iteration",itmp);
+
+ itmp = ioUtilGH->ioproc_every;
+ WriteAttribute(dataset,"GH$ioproc_every",itmp);
+
+ itmp = CCTK_nProcs (cctkGH);
+ WriteAttribute(dataset,"GH$nprocs",itmp);
+
+ dtmp = cctkGH->cctk_time;
+ WriteAttribute(dataset,"GH$time", dtmp);
+
+ dtmp = global_time;
+ WriteAttribute(dataset,"carpet_global_time", dtmp);
+
+ itmp = reflevels;
+ WriteAttribute(dataset,"carpet_reflevels", itmp);
+
+ dtmp = delta_time;
+ WriteAttribute(dataset,"carpet_delta_time", dtmp);
+
+ version = CCTK_FullVersion();
+ WriteAttribute(dataset,"Cactus version", version);
+
+ /* finally, we need all the times on the individual refinement levels */
+
+ const int numberofmgtimes=mglevels;
+ WriteAttribute(dataset,"numberofmgtimes",numberofmgtimes);
+ for(int i=0;i < numberofmgtimes;i++) {
+ char buffer[100];
+ sprintf(buffer,"mgleveltimes %d",i);
+ WriteAttribute(dataset,buffer,(double *) &leveltimes.at(i).at(0), reflevels);
+ }
+
+ herr = H5Dclose (dataset);
+ assert(!herr);
+ herr = H5Sclose (dataspace);
+ assert(!herr);
+ herr = H5Gclose (group);
+ assert(!herr);
+
+ free (parameters);
+ }
+
+ return 0;
+ } // DumpParametersGHExtentions
+
+
+
+
+} // namespace CarpetIOHDF5
diff --git a/Carpet/CarpetIOHDF5/src/iohdf5utils.cc b/Carpet/CarpetIOHDF5/src/iohdf5utils.cc
new file mode 100644
index 000000000..5545a3563
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/src/iohdf5utils.cc
@@ -0,0 +1,521 @@
+#include <assert.h>
+#include <limits.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <sys/stat.h>
+#include <sys/types.h>
+
+#include <algorithm>
+#include <fstream>
+#include <sstream>
+#include <vector>
+
+#include <hdf5.h>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOHDF5/src/iohdf5utils.cc,v 1.8 2004/07/07 17:09:17 tradke Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetIOHDF5_iohdf5utils_cc);
+}
+
+#include "CactusBase/IOUtil/src/ioGH.h"
+#include "CactusBase/IOUtil/src/ioutil_CheckpointRecovery.h"
+
+#include "bbox.hh"
+#include "data.hh"
+#include "gdata.hh"
+#include "ggf.hh"
+#include "vect.hh"
+
+#include "carpet.hh"
+
+#include "iohdf5.hh"
+#include "iohdf5GH.h"
+
+
+
+namespace CarpetIOHDF5 {
+
+ using namespace std;
+ using namespace Carpet;
+
+
+
+ bool CheckForVariable (const char* const varlist, const int vindex)
+ {
+ const int numvars = CCTK_NumVars();
+ assert (vindex>=0 && vindex<numvars);
+
+ vector<bool> flags(numvars);
+
+ CCTK_TraverseString (varlist, SetFlag, &flags, CCTK_GROUP_OR_VAR);
+
+ return flags.at(vindex);
+ }
+
+ void SetFlag (int vindex, const char* optstring, void* arg)
+ {
+ if (optstring)
+ {
+ char *fullname = CCTK_FullName (vindex);
+ CCTK_VWarn (2, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Option string '%s' will be ignored for HDF5 output of "
+ "variable '%s'", optstring, fullname);
+ free (fullname);
+ }
+ vector<bool>& flags = *(vector<bool>*)arg;
+ flags.at(vindex) = true;
+ }
+
+
+
+ void WriteAttribute (const hid_t dataset, const char* const name, const int value)
+ {
+ WriteAttribute (dataset, name, &value, 1);
+ }
+
+ void WriteAttribute (const hid_t dataset, const char* const name, const int* const values, const int nvalues)
+ {
+ assert (dataset>=0);
+ assert (name);
+ assert (values);
+ assert (nvalues>=0);
+
+ herr_t herr;
+
+ hsize_t shape[1];
+ shape[0] = nvalues;
+ const hid_t dataspace = nvalues==1 ? H5Screate (H5S_SCALAR) : H5Screate_simple (1, shape, NULL);
+ assert (dataspace>=0);
+
+ const hid_t datatype = H5T_NATIVE_INT;
+
+ const hid_t attribute = H5Acreate (dataset, name, datatype, dataspace, H5P_DEFAULT);
+ assert (attribute>=0);
+ herr = H5Awrite (attribute, datatype, values);
+ assert (!herr);
+ herr = H5Aclose (attribute);
+ assert (!herr);
+
+ herr = H5Sclose (dataspace);
+ assert (!herr);
+ }
+
+
+
+ void WriteAttribute (const hid_t dataset, const char* const name, const double value)
+ {
+ WriteAttribute (dataset, name, &value, 1);
+ }
+
+ void WriteAttribute (const hid_t dataset, const char* const name, const double* const values, const int nvalues)
+ {
+ assert (dataset>=0);
+ assert (name);
+ assert (values);
+ assert (nvalues>=0);
+
+ herr_t herr;
+
+ hsize_t shape[1];
+ shape[0] = nvalues;
+ const hid_t dataspace = nvalues==1 ? H5Screate (H5S_SCALAR) : H5Screate_simple (1, shape, NULL);
+ assert (dataspace>=0);
+
+ const hid_t datatype = H5T_NATIVE_DOUBLE;
+
+ const hid_t attribute = H5Acreate (dataset, name, datatype, dataspace, H5P_DEFAULT);
+ assert (attribute>=0);
+ herr = H5Awrite (attribute, datatype, values);
+ assert (!herr);
+ herr = H5Aclose (attribute);
+ assert (!herr);
+
+ herr = H5Sclose (dataspace);
+ assert (!herr);
+ }
+
+
+
+ void WriteAttribute (const hid_t dataset, const char* const name, const char value)
+ {
+ WriteAttribute (dataset, name, &value, 1);
+ }
+
+ void WriteAttribute (const hid_t dataset, const char* const name, const char* const values)
+ {
+ WriteAttribute (dataset, name, values, strlen(values));
+ }
+
+ void WriteAttribute (const hid_t dataset, const char* const name, const char* const values, const int nvalues)
+ {
+ assert (dataset>=0);
+ assert (name);
+ assert (values);
+ assert (nvalues>=0);
+
+ herr_t herr;
+
+ const hid_t dataspace = H5Screate (H5S_SCALAR);
+ assert (dataspace>=0);
+
+ const hid_t datatype = H5Tcopy (H5T_C_S1);
+ assert (datatype>=0);
+ herr = H5Tset_size (datatype, nvalues);
+ assert (!herr);
+
+ const hid_t attribute = H5Acreate (dataset, name, datatype, dataspace, H5P_DEFAULT);
+ assert (attribute>=0);
+ herr = H5Awrite (attribute, datatype, values);
+ assert (!herr);
+ herr = H5Aclose (attribute);
+ assert (!herr);
+
+ herr = H5Tclose (datatype);
+ assert (!herr);
+
+ herr = H5Sclose (dataspace);
+ assert (!herr);
+ }
+
+
+
+ int ReadAttribute (const hid_t dataset, const char* const name, int& value)
+ {
+ return ReadAttribute (dataset, name, &value, 1);
+ }
+
+ int ReadAttribute (const hid_t dataset, const char* name, int* const values, const int nvalues)
+ {
+ assert (dataset>=0);
+ assert (name);
+ assert (values);
+ assert (nvalues>=0);
+
+ herr_t herr;
+
+ const hid_t attribute = H5Aopen_name (dataset, name);
+ if (attribute<0) return attribute;
+
+ const hid_t dataspace = H5Aget_space (attribute);
+ assert (dataspace>=0);
+
+ // cout << "reading int attribute " << name << endl;
+
+ hsize_t rank = H5Sget_simple_extent_ndims (dataspace);
+ hsize_t shape[1];
+ if (rank==0) {
+ shape[0] = 1;
+ } else if (rank==1) {
+ herr = H5Sget_simple_extent_dims (dataspace, shape, NULL);
+ assert (herr >= 0);
+ } else {
+ assert (0);
+ }
+ const int length = shape[0];
+
+ const hid_t datatype = H5Aget_type (attribute);
+ assert (datatype>=0);
+
+ assert(H5Tequal(datatype, H5T_NATIVE_INT));
+
+ vector<int> values1(length);
+
+ herr = H5Aread (attribute, datatype, &values1.at(0));
+ assert (!herr);
+
+ for (int i=0; i<min(length, nvalues); ++i) {
+ values[i] = values1[i];
+ }
+
+ herr = H5Tclose (datatype);
+ assert (!herr);
+
+ herr = H5Sclose (dataspace);
+ assert (!herr);
+
+ herr = H5Aclose (attribute);
+ assert (!herr);
+
+ return length;
+ }
+
+
+
+ int ReadAttribute (const hid_t dataset, const char* const name, double& value)
+ {
+ return ReadAttribute (dataset, name, &value, 1);
+ }
+
+ int ReadAttribute (const hid_t dataset, const char* const name, double* const values, const int nvalues)
+ {
+ assert (dataset>=0);
+ assert (name);
+ assert (values);
+ assert (nvalues>=0);
+
+ herr_t herr;
+
+ const hid_t attribute = H5Aopen_name (dataset, name);
+ if (attribute<0) return attribute;
+
+ const hid_t dataspace = H5Aget_space (attribute);
+ assert (dataspace>=0);
+
+ hsize_t rank = H5Sget_simple_extent_ndims (dataspace);
+ hsize_t shape[1];
+ if (rank==0) {
+ shape[0] = 1;
+ } else if (rank==1) {
+ rank = H5Sget_simple_extent_dims (dataspace, shape, NULL);
+ assert (rank == 1);
+ } else {
+ assert (0);
+ }
+ const int length = shape[0];
+
+ const hid_t datatype = H5Aget_type (attribute);
+ assert (datatype>=0);
+ assert(H5Tequal(datatype, H5T_NATIVE_DOUBLE));
+
+ vector<double> values1(length);
+
+ herr = H5Aread (attribute, datatype, &values1.at(0));
+ assert (!herr);
+
+ for (int i=0; i<min(length, nvalues); ++i) {
+ values[i] = values1[i];
+ }
+
+ herr = H5Tclose (datatype);
+ assert (!herr);
+
+ herr = H5Sclose (dataspace);
+ assert (!herr);
+
+ herr = H5Aclose (attribute);
+ assert (!herr);
+
+ return length;
+ }
+
+
+
+ int ReadAttribute (const hid_t dataset, const char* const name, char& value)
+ {
+ return ReadAttribute (dataset, name, &value, 1);
+ }
+
+ int ReadAttribute (const hid_t dataset, const char* const name, char*& values)
+ {
+ assert (dataset>=0);
+ assert (name);
+
+ herr_t herr;
+
+ const hid_t attribute = H5Aopen_name (dataset, name);
+ if (attribute<0) return attribute;
+
+ const hid_t dataspace = H5Aget_space (attribute);
+ assert (dataspace>=0);
+
+ hsize_t rank = H5Sget_simple_extent_ndims (dataspace);
+ assert (rank==0);
+
+ const hid_t datatype = H5Aget_type (attribute);
+ assert (datatype>=0);
+ assert (H5Tget_class (datatype) == H5T_STRING);
+ const int length = H5Tget_size (datatype);
+ assert (length>=0);
+
+ values = (char*) malloc (length+1);
+ assert (values);
+
+ herr = H5Aread (attribute, datatype, values);
+ assert (!herr);
+ values[length] = '\0';
+
+ herr = H5Tclose (datatype);
+ assert (!herr);
+
+ herr = H5Sclose (dataspace);
+ assert (!herr);
+
+ herr = H5Aclose (attribute);
+ assert (!herr);
+
+ return length;
+ }
+
+ int ReadAttribute (const hid_t dataset, const char* const name, char* const values, const int nvalues)
+ {
+ assert (dataset>=0);
+ assert (name);
+ assert (values);
+ assert (nvalues>=0);
+
+ herr_t herr;
+
+ const hid_t attribute = H5Aopen_name (dataset, name);
+ if (attribute<0) return attribute;
+
+ const hid_t dataspace = H5Aget_space (attribute);
+ assert (dataspace>=0);
+
+ hsize_t rank = H5Sget_simple_extent_ndims (dataspace);
+ assert (rank==0);
+
+ const hid_t datatype = H5Aget_type (attribute);
+ assert (datatype>=0);
+ assert(H5Tget_class (datatype) == H5T_STRING);
+ const int length = H5Tget_size (datatype);
+ assert (length>=0);
+
+ vector<char> values1(length);
+
+ herr = H5Aread (attribute, datatype, &values1.at(0));
+ assert (!herr);
+
+ for (int i=0; i<min(length, nvalues); ++i) {
+ values[i] = values1[i];
+ }
+
+ herr = H5Tclose (datatype);
+ assert (!herr);
+
+ herr = H5Sclose (dataspace);
+ assert (!herr);
+
+ herr = H5Aclose (attribute);
+ assert (!herr);
+
+ return length;
+ }
+
+ herr_t DatasetCounter(hid_t group_id, const char *member_name, void *operator_data)
+ /* Counts datasets. Used by GetnDatasets; straight from John Shalf's FlexIO library */
+ {
+ int *count = (int*)operator_data;
+ H5G_stat_t objinfo;
+ // request info about the type of objects in root group
+ if(H5Gget_objinfo(group_id,member_name,1 /* follow links */,&objinfo)<0) {
+ return 0;
+ }
+ // only count objects that are datasets (not subgroups)
+ if(objinfo.type==H5G_DATASET) {
+ (*count)++;
+ }
+ return 0;
+ }
+
+
+ int GetnDatasets(const hid_t reader)
+ {
+ //this is straight from John Shalf's FlexIO library
+
+ int count=0;
+ int idx=0;
+ while(H5Giterate(reader, /* hid_t loc_id, */
+ "/", /*const char *name, */
+ &idx, /* int *idx, */
+ DatasetCounter,
+ &count)<0){}
+ return count;
+ }
+
+ struct H5IO_getname_t {
+ //this is straight from John Shalf's FlexIO library
+ int index,count;
+ char *name;
+ };
+
+
+ herr_t GetName(hid_t group_id, const char *member_name, void *operator_data)
+ {
+ //this is straight from John Shalf's FlexIO library
+ H5IO_getname_t *getn = (H5IO_getname_t*)operator_data;
+ // check type first (only respond if it is a dataset)
+ H5G_stat_t objinfo;
+ // request info about the type of objects in root group
+ if(H5Gget_objinfo(group_id,
+ member_name,
+ 1 /* follow links */,
+ &objinfo)<0) return 0; // error (probably bad symlink)
+ // only count objects that are datasets (not subgroups)
+ if(objinfo.type!=H5G_DATASET)
+ return 0; // do not increment count if it isn't a dataset.
+ if(getn->index==getn->count){
+ strcpy(getn->name,member_name);
+ return 1; // success
+ }
+ getn->count++;
+ return 0;
+ }
+
+
+ void GetDatasetName(const hid_t reader, const int _index, char *name) {
+ //this is straight from John Shalf's FlexIO library
+ H5IO_getname_t getn;
+ int idx=_index;
+ getn.index=_index; getn.name=name; getn.count=_index;
+ while(H5Giterate(reader, /* hid_t loc_id, */
+ "/", /*const char *name, */
+ &idx, /* int *idx, */
+ GetName,
+ &getn)<0){}
+ }
+
+ hid_t h5DataType (const cGH* const cctkGH, int cctk_type) {
+
+ hid_t retval;
+
+ CarpetIOHDF5GH *myGH;
+ myGH = (CarpetIOHDF5GH *) CCTK_GHExtension (cctkGH, "CarpetIOHDF5");
+
+ // this is adapted from Thomas Radke's IOHDF5Util. Thanks, Thomas!
+
+ switch (cctk_type)
+ {
+ case CCTK_VARIABLE_CHAR: retval = HDF5_CHAR; break;
+ case CCTK_VARIABLE_INT: retval = HDF5_INT; break;
+ case CCTK_VARIABLE_REAL: retval = HDF5_REAL; break;
+ case CCTK_VARIABLE_COMPLEX: retval = myGH->HDF5_COMPLEX; break;
+#ifdef CCTK_INT1
+ case CCTK_VARIABLE_INT1: retval = HDF5_INT1; break;
+#endif
+#ifdef CCTK_INT2
+ case CCTK_VARIABLE_INT2: retval = HDF5_INT2; break;
+#endif
+#ifdef CCTK_INT4
+ case CCTK_VARIABLE_INT4: retval = HDF5_INT4; break;
+#endif
+#ifdef CCTK_INT8
+ case CCTK_VARIABLE_INT8: retval = HDF5_INT8; break;
+#endif
+#ifdef CCTK_REAL4
+ case CCTK_VARIABLE_REAL4: retval = HDF5_REAL4; break;
+ case CCTK_VARIABLE_COMPLEX8: retval = myGH->HDF5_COMPLEX8; break;
+#endif
+#ifdef CCTK_REAL8
+ case CCTK_VARIABLE_REAL8: retval = HDF5_REAL8; break;
+ case CCTK_VARIABLE_COMPLEX16: retval = myGH->HDF5_COMPLEX16; break;
+#endif
+#ifdef CCTK_REAL16
+ case CCTK_VARIABLE_REAL16: retval = HDF5_REAL16; break;
+ case CCTK_VARIABLE_COMPLEX32: retval = myGH->HDF5_COMPLEX32; break;
+#endif
+
+ default: CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Unsupported CCTK variable datatype %d", cctk_type);
+ retval = -1;
+ }
+
+ return (retval);
+ }
+
+
+
+} // namespace CarpetIOHDF5
diff --git a/Carpet/CarpetIOHDF5/src/make.code.defn b/Carpet/CarpetIOHDF5/src/make.code.defn
new file mode 100644
index 000000000..a8600e812
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/src/make.code.defn
@@ -0,0 +1,5 @@
+# Main make.code.defn file for thorn CarpetIOHDF5
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOHDF5/src/make.code.defn,v 1.5 2004/07/09 15:38:18 tradke Exp $
+
+# Source files in this directory
+SRCS = iohdf5.cc iohdf5utils.cc Checkpoint.cc Recover.cc
diff --git a/Carpet/CarpetIOHDF5/src/make.configuration.defn b/Carpet/CarpetIOHDF5/src/make.configuration.defn
new file mode 100644
index 000000000..3de9eea95
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/src/make.configuration.defn
@@ -0,0 +1,7 @@
+# Main make.configuration.defn file for thorn CarpetIOHDF5 -*-Makefile-*-
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOHDF5/src/make.configuration.defn,v 1.1 2004/05/04 22:08:37 schnetter Exp $
+
+# Ensure that MPI is available
+ifeq ($(strip $(HAVE_HDF5)), )
+ $(error Configuration error: The CarpetIOHDF5 thorn requires HDF5. Please configure with HDF5, or remove the CarpetIOHDF5 thorn from the ThornList.)
+endif
diff --git a/Carpet/CarpetIOHDF5/test/CarpetWaveToyCheckpoint_test.it_64.h5 b/Carpet/CarpetIOHDF5/test/CarpetWaveToyCheckpoint_test.it_64.h5
new file mode 100644
index 000000000..bed1b5bb5
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/CarpetWaveToyCheckpoint_test.it_64.h5
Binary files differ
diff --git a/Carpet/CarpetIOHDF5/test/CarpetWaveToyCheckpoint_test.parfile b/Carpet/CarpetIOHDF5/test/CarpetWaveToyCheckpoint_test.parfile
new file mode 100644
index 000000000..f5d898aa1
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/CarpetWaveToyCheckpoint_test.parfile
@@ -0,0 +1,44 @@
+ActiveThorns = "Boundary CartGrid3D Time CoordBase SymBase Carpet CarpetLib CarpetRegrid CarpetReduce CarpetSlab IOUtil IOBasic CarpetIOASCII CarpetIOHDF5 IDScalarWaveC WaveToyC"
+
+
+Cactus::cctk_itlast = 64
+
+Time::dtfac = 0.5
+
+Grid::avoid_origin = "no"
+Grid::type = "byrange"
+Grid::dxyz = 1
+
+IDScalarWave::initial_data = "gaussian"
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 0.0
+
+Driver::global_nsize = 10
+Driver::ghost_size = 2
+
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+Carpet::init_each_timelevel = "yes"
+Carpet::buffer_width = 6
+Carpet::max_refinement_levels = 4
+CarpetRegrid::refinement_levels = 4
+
+# Output
+IO::out_dir = $parfile
+IO::out_fileinfo = "none"
+IO::parfile_write = "no"
+
+IOBasic::outInfo_every = 1
+IOBasic::outInfo_vars = "wavetoy::phi"
+IOBasic::outScalar_every = 32
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_vars = "wavetoy::phi"
+IOASCII::out1D_every = 32
+
+# Checkpointing
+IO::checkpoint_file = $parfile
+IO::checkpoint_every = 32
+
+IOHDF5::checkpoint = "yes"
+IOHDF5::verbose = "yes"
diff --git a/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc.par b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc.par
new file mode 100644
index 000000000..cb72b9b60
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc.par
@@ -0,0 +1,14 @@
+ActiveThorns = "Boundary CartGrid3D Time CoordBase SymBase Carpet CarpetLib CarpetRegrid CarpetReduce CarpetSlab IOUtil IOBasic CarpetIOASCII CarpetIOHDF5 IDScalarWaveC WaveToyC"
+
+
+Cactus::cctk_itlast = 128
+
+# Output
+IO::out_dir = $parfile
+
+# Recovery
+IO::recover_dir = "../../../arrangements/Carpet/CarpetIOHDF5/test"
+IO::recover = "manual"
+IO::recover_file = "CarpetWaveToyCheckpoint_test.it_64"
+
+IOHDF5::checkpoint = "no"
diff --git a/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi.x.asc b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi.x.asc
new file mode 100644
index 000000000..05526bfeb
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi.x.asc
@@ -0,0 +1,227 @@
+# WAVETOY::phi x (phi)
+#
+# iteration 64
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 0 0 0 0 40 40 0.888888888888889 -1 0.111111111111111 0.111111111111111 0.873700996777018
+64 0 0 0 0 8 40 40 0.888888888888889 -0.777777777777778 0.111111111111111 0.111111111111111 0.807676282684182
+64 0 0 0 0 16 40 40 0.888888888888889 -0.555555555555556 0.111111111111111 0.111111111111111 0.756699260944861
+64 0 0 0 0 24 40 40 0.888888888888889 -0.333333333333333 0.111111111111111 0.111111111111111 0.730294733882952
+64 0 0 0 0 32 40 40 0.888888888888889 -0.111111111111111 0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 0 0 40 40 40 0.888888888888889 0.111111111111111 0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 0 0 48 40 40 0.888888888888889 0.333333333333333 0.111111111111111 0.111111111111111 0.730294733882952
+64 0 0 0 0 56 40 40 0.888888888888889 0.555555555555556 0.111111111111111 0.111111111111111 0.756699260944861
+64 0 0 0 0 64 40 40 0.888888888888889 0.777777777777778 0.111111111111111 0.111111111111111 0.807676282684182
+64 0 0 0 0 72 40 40 0.888888888888889 1 0.111111111111111 0.111111111111111 0.873700996777018
+
+
+# iteration 64
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 1 0 0 8 36 36 0.888888888888889 -0.777777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.808379332677938
+64 0 1 0 0 12 36 36 0.888888888888889 -0.666666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.779665123251561
+64 0 1 0 0 16 36 36 0.888888888888889 -0.555555555555556 -5.55111512312578e-17 -5.55111512312578e-17 0.756097245006156
+64 0 1 0 0 20 36 36 0.888888888888889 -0.444444444444444 -5.55111512312578e-17 -5.55111512312578e-17 0.739694852518638
+64 0 1 0 0 24 36 36 0.888888888888889 -0.333333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.729218296316213
+64 0 1 0 0 28 36 36 0.888888888888889 -0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.725100663327574
+64 0 1 0 0 32 36 36 0.888888888888889 -0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.724342898925177
+64 0 1 0 0 36 36 36 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.723733474251298
+64 0 1 0 0 40 36 36 0.888888888888889 0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.724342898925177
+64 0 1 0 0 44 36 36 0.888888888888889 0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.725100663327574
+64 0 1 0 0 48 36 36 0.888888888888889 0.333333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.729218296316213
+64 0 1 0 0 52 36 36 0.888888888888889 0.444444444444444 -5.55111512312578e-17 -5.55111512312578e-17 0.739694852518638
+64 0 1 0 0 56 36 36 0.888888888888889 0.555555555555555 -5.55111512312578e-17 -5.55111512312578e-17 0.756097245006155
+64 0 1 0 0 60 36 36 0.888888888888889 0.666666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.779665123251561
+64 0 1 0 0 64 36 36 0.888888888888889 0.777777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.808379332677938
+
+
+# iteration 64
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 2 0 0 22 36 36 0.888888888888889 -0.388888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.733688776948746
+64 0 2 0 0 24 36 36 0.888888888888889 -0.333333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.729218296316213
+64 0 2 0 0 26 36 36 0.888888888888889 -0.277777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.726552055334392
+64 0 2 0 0 28 36 36 0.888888888888889 -0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.725100663327574
+64 0 2 0 0 30 36 36 0.888888888888889 -0.166666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.724502518106703
+64 0 2 0 0 32 36 36 0.888888888888889 -0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.724342898925177
+64 0 2 0 0 34 36 36 0.888888888888889 -0.0555555555555556 -5.55111512312578e-17 -5.55111512312578e-17 0.72395273727097
+64 0 2 0 0 36 36 36 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.723733474251298
+64 0 2 0 0 38 36 36 0.888888888888889 0.0555555555555555 -5.55111512312578e-17 -5.55111512312578e-17 0.72395273727097
+64 0 2 0 0 40 36 36 0.888888888888889 0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.724342898925177
+64 0 2 0 0 42 36 36 0.888888888888889 0.166666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.724502518106703
+64 0 2 0 0 44 36 36 0.888888888888889 0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.725100663327574
+64 0 2 0 0 46 36 36 0.888888888888889 0.277777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.726552055334392
+64 0 2 0 0 48 36 36 0.888888888888889 0.333333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.729218296316213
+64 0 2 0 0 50 36 36 0.888888888888889 0.388888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.733688776948745
+
+
+# iteration 64
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 3 0 0 29 36 36 0.888888888888889 -0.194444444444445 -5.55111512312578e-17 -5.55111512312578e-17 0.724720854915558
+64 0 3 0 0 30 36 36 0.888888888888889 -0.166666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.724502518106703
+64 0 3 0 0 31 36 36 0.888888888888889 -0.138888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.724409709543024
+64 0 3 0 0 32 36 36 0.888888888888889 -0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.724342898925177
+64 0 3 0 0 33 36 36 0.888888888888889 -0.0833333333333334 -5.55111512312578e-17 -5.55111512312578e-17 0.724151545837958
+64 0 3 0 0 34 36 36 0.888888888888889 -0.0555555555555556 -5.55111512312578e-17 -5.55111512312578e-17 0.72395273727097
+64 0 3 0 0 35 36 36 0.888888888888889 -0.0277777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.723805016719017
+64 0 3 0 0 36 36 36 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.723733474251298
+64 0 3 0 0 37 36 36 0.888888888888889 0.0277777777777777 -5.55111512312578e-17 -5.55111512312578e-17 0.723805016719017
+64 0 3 0 0 38 36 36 0.888888888888889 0.0555555555555555 -5.55111512312578e-17 -5.55111512312578e-17 0.72395273727097
+64 0 3 0 0 39 36 36 0.888888888888889 0.0833333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.724151545837958
+64 0 3 0 0 40 36 36 0.888888888888889 0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.724342898925177
+64 0 3 0 0 41 36 36 0.888888888888889 0.138888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.724409709543024
+64 0 3 0 0 42 36 36 0.888888888888889 0.166666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.724502518106703
+64 0 3 0 0 43 36 36 0.888888888888889 0.194444444444444 -5.55111512312578e-17 -5.55111512312578e-17 0.724720854915558
+
+
+# iteration 96
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 0 0 0 0 40 40 1.33333333333333 -1 0.111111111111111 0.111111111111111 0.877480603359996
+96 0 0 0 0 8 40 40 1.33333333333333 -0.777777777777778 0.111111111111111 0.111111111111111 0.798008089475601
+96 0 0 0 0 16 40 40 1.33333333333333 -0.555555555555556 0.111111111111111 0.111111111111111 0.735090597558599
+96 0 0 0 0 24 40 40 1.33333333333333 -0.333333333333333 0.111111111111111 0.111111111111111 0.677899959110667
+96 0 0 0 0 32 40 40 1.33333333333333 -0.111111111111111 0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 0 0 40 40 40 1.33333333333333 0.111111111111111 0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 0 0 48 40 40 1.33333333333333 0.333333333333333 0.111111111111111 0.111111111111111 0.677899959110667
+96 0 0 0 0 56 40 40 1.33333333333333 0.555555555555556 0.111111111111111 0.111111111111111 0.735090597558599
+96 0 0 0 0 64 40 40 1.33333333333333 0.777777777777778 0.111111111111111 0.111111111111111 0.798008089475601
+96 0 0 0 0 72 40 40 1.33333333333333 1 0.111111111111111 0.111111111111111 0.877480603359996
+
+
+# iteration 96
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 1 0 0 8 36 36 1.33333333333333 -0.777777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.796688784792057
+96 0 1 0 0 12 36 36 1.33333333333333 -0.666666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.76190136189151
+96 0 1 0 0 16 36 36 1.33333333333333 -0.555555555555556 -5.55111512312578e-17 -5.55111512312578e-17 0.729928937348657
+96 0 1 0 0 20 36 36 1.33333333333333 -0.444444444444444 -5.55111512312578e-17 -5.55111512312578e-17 0.698215010923196
+96 0 1 0 0 24 36 36 1.33333333333333 -0.333333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.668908746807157
+96 0 1 0 0 28 36 36 1.33333333333333 -0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.641345710414296
+96 0 1 0 0 32 36 36 1.33333333333333 -0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.621410197839124
+96 0 1 0 0 36 36 36 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.61547287921812
+96 0 1 0 0 40 36 36 1.33333333333333 0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.621410197839125
+96 0 1 0 0 44 36 36 1.33333333333333 0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.641345710414296
+96 0 1 0 0 48 36 36 1.33333333333333 0.333333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.668908746807157
+96 0 1 0 0 52 36 36 1.33333333333333 0.444444444444444 -5.55111512312578e-17 -5.55111512312578e-17 0.698215010923196
+96 0 1 0 0 56 36 36 1.33333333333333 0.555555555555555 -5.55111512312578e-17 -5.55111512312578e-17 0.729928937348657
+96 0 1 0 0 60 36 36 1.33333333333333 0.666666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.76190136189151
+96 0 1 0 0 64 36 36 1.33333333333333 0.777777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.796688784792057
+
+
+# iteration 96
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 2 0 0 22 36 36 1.33333333333333 -0.388888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.683302448238139
+96 0 2 0 0 24 36 36 1.33333333333333 -0.333333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.668908746807157
+96 0 2 0 0 26 36 36 1.33333333333333 -0.277777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.654541556639422
+96 0 2 0 0 28 36 36 1.33333333333333 -0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.641345710414296
+96 0 2 0 0 30 36 36 1.33333333333333 -0.166666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.630026346765969
+96 0 2 0 0 32 36 36 1.33333333333333 -0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.621410197839124
+96 0 2 0 0 34 36 36 1.33333333333333 -0.0555555555555556 -5.55111512312578e-17 -5.55111512312578e-17 0.616824486578861
+96 0 2 0 0 36 36 36 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.61547287921812
+96 0 2 0 0 38 36 36 1.33333333333333 0.0555555555555555 -5.55111512312578e-17 -5.55111512312578e-17 0.616824486578861
+96 0 2 0 0 40 36 36 1.33333333333333 0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.621410197839125
+96 0 2 0 0 42 36 36 1.33333333333333 0.166666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.63002634676597
+96 0 2 0 0 44 36 36 1.33333333333333 0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.641345710414296
+96 0 2 0 0 46 36 36 1.33333333333333 0.277777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.654541556639422
+96 0 2 0 0 48 36 36 1.33333333333333 0.333333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.668908746807157
+96 0 2 0 0 50 36 36 1.33333333333333 0.388888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.683302448238139
+
+
+# iteration 96
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 3 0 0 29 36 36 1.33333333333333 -0.194444444444445 -5.55111512312578e-17 -5.55111512312578e-17 0.63539979750899
+96 0 3 0 0 30 36 36 1.33333333333333 -0.166666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.630026346765969
+96 0 3 0 0 31 36 36 1.33333333333333 -0.138888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.625297419028293
+96 0 3 0 0 32 36 36 1.33333333333333 -0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.621410197839124
+96 0 3 0 0 33 36 36 1.33333333333333 -0.0833333333333334 -5.55111512312578e-17 -5.55111512312578e-17 0.618663308361111
+96 0 3 0 0 34 36 36 1.33333333333333 -0.0555555555555556 -5.55111512312578e-17 -5.55111512312578e-17 0.616824486578861
+96 0 3 0 0 35 36 36 1.33333333333333 -0.0277777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.615777600484678
+96 0 3 0 0 36 36 36 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.61547287921812
+96 0 3 0 0 37 36 36 1.33333333333333 0.0277777777777777 -5.55111512312578e-17 -5.55111512312578e-17 0.615777600484678
+96 0 3 0 0 38 36 36 1.33333333333333 0.0555555555555555 -5.55111512312578e-17 -5.55111512312578e-17 0.616824486578861
+96 0 3 0 0 39 36 36 1.33333333333333 0.0833333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.618663308361111
+96 0 3 0 0 40 36 36 1.33333333333333 0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.621410197839125
+96 0 3 0 0 41 36 36 1.33333333333333 0.138888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.625297419028293
+96 0 3 0 0 42 36 36 1.33333333333333 0.166666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.63002634676597
+96 0 3 0 0 43 36 36 1.33333333333333 0.194444444444444 -5.55111512312578e-17 -5.55111512312578e-17 0.63539979750899
+
+
+# iteration 128
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 0 0 0 0 40 40 1.77777777777778 -1 0.111111111111111 0.111111111111111 0.873700996777018
+128 0 0 0 0 8 40 40 1.77777777777778 -0.777777777777778 0.111111111111111 0.111111111111111 0.859471717622308
+128 0 0 0 0 16 40 40 1.77777777777778 -0.555555555555556 0.111111111111111 0.111111111111111 0.863004424640887
+128 0 0 0 0 24 40 40 1.77777777777778 -0.333333333333333 0.111111111111111 0.111111111111111 0.883486952153519
+128 0 0 0 0 32 40 40 1.77777777777778 -0.111111111111111 0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 0 0 40 40 40 1.77777777777778 0.111111111111111 0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 0 0 48 40 40 1.77777777777778 0.333333333333333 0.111111111111111 0.111111111111111 0.883486952153519
+128 0 0 0 0 56 40 40 1.77777777777778 0.555555555555556 0.111111111111111 0.111111111111111 0.863004424640887
+128 0 0 0 0 64 40 40 1.77777777777778 0.777777777777778 0.111111111111111 0.111111111111111 0.859471717622308
+128 0 0 0 0 72 40 40 1.77777777777778 1 0.111111111111111 0.111111111111111 0.873700996777018
+
+
+# iteration 128
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 1 0 0 8 36 36 1.77777777777778 -0.777777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.862653663591007
+128 0 1 0 0 12 36 36 1.77777777777778 -0.666666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.862560028606905
+128 0 1 0 0 16 36 36 1.77777777777778 -0.555555555555556 -5.55111512312578e-17 -5.55111512312578e-17 0.866965759785718
+128 0 1 0 0 20 36 36 1.77777777777778 -0.444444444444444 -5.55111512312578e-17 -5.55111512312578e-17 0.876167092595071
+128 0 1 0 0 24 36 36 1.77777777777778 -0.333333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.889185421864397
+128 0 1 0 0 28 36 36 1.77777777777778 -0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.907998184681559
+128 0 1 0 0 32 36 36 1.77777777777778 -0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.924033489738888
+128 0 1 0 0 36 36 36 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.928389498223199
+128 0 1 0 0 40 36 36 1.77777777777778 0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.924033489738888
+128 0 1 0 0 44 36 36 1.77777777777778 0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.90799818468156
+128 0 1 0 0 48 36 36 1.77777777777778 0.333333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.889185421864397
+128 0 1 0 0 52 36 36 1.77777777777778 0.444444444444444 -5.55111512312578e-17 -5.55111512312578e-17 0.876167092595071
+128 0 1 0 0 56 36 36 1.77777777777778 0.555555555555555 -5.55111512312578e-17 -5.55111512312578e-17 0.866965759785718
+128 0 1 0 0 60 36 36 1.77777777777778 0.666666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.862560028606905
+128 0 1 0 0 64 36 36 1.77777777777778 0.777777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.862653663591007
+
+
+# iteration 128
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 2 0 0 22 36 36 1.77777777777778 -0.388888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.882075542854246
+128 0 2 0 0 24 36 36 1.77777777777778 -0.333333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.889185421864397
+128 0 2 0 0 26 36 36 1.77777777777778 -0.277777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.898403242286228
+128 0 2 0 0 28 36 36 1.77777777777778 -0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.907998184681559
+128 0 2 0 0 30 36 36 1.77777777777778 -0.166666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.916919384356027
+128 0 2 0 0 32 36 36 1.77777777777778 -0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.924033489738888
+128 0 2 0 0 34 36 36 1.77777777777778 -0.0555555555555556 -5.55111512312578e-17 -5.55111512312578e-17 0.927485951077396
+128 0 2 0 0 36 36 36 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.928389498223199
+128 0 2 0 0 38 36 36 1.77777777777778 0.0555555555555555 -5.55111512312578e-17 -5.55111512312578e-17 0.927485951077396
+128 0 2 0 0 40 36 36 1.77777777777778 0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.924033489738888
+128 0 2 0 0 42 36 36 1.77777777777778 0.166666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.916919384356027
+128 0 2 0 0 44 36 36 1.77777777777778 0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.90799818468156
+128 0 2 0 0 46 36 36 1.77777777777778 0.277777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.898403242286228
+128 0 2 0 0 48 36 36 1.77777777777778 0.333333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.889185421864397
+128 0 2 0 0 50 36 36 1.77777777777778 0.388888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.882075542854246
+
+
+# iteration 128
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 3 0 0 29 36 36 1.77777777777778 -0.194444444444445 -5.55111512312578e-17 -5.55111512312578e-17 0.912613836832073
+128 0 3 0 0 30 36 36 1.77777777777778 -0.166666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.916919384356027
+128 0 3 0 0 31 36 36 1.77777777777778 -0.138888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.920818233193455
+128 0 3 0 0 32 36 36 1.77777777777778 -0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.924033489738888
+128 0 3 0 0 33 36 36 1.77777777777778 -0.0833333333333334 -5.55111512312578e-17 -5.55111512312578e-17 0.926147880297958
+128 0 3 0 0 34 36 36 1.77777777777778 -0.0555555555555556 -5.55111512312578e-17 -5.55111512312578e-17 0.927485951077396
+128 0 3 0 0 35 36 36 1.77777777777778 -0.0277777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.928209975180567
+128 0 3 0 0 36 36 36 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.928389498223199
+128 0 3 0 0 37 36 36 1.77777777777778 0.0277777777777777 -5.55111512312578e-17 -5.55111512312578e-17 0.928209975180567
+128 0 3 0 0 38 36 36 1.77777777777778 0.0555555555555555 -5.55111512312578e-17 -5.55111512312578e-17 0.927485951077396
+128 0 3 0 0 39 36 36 1.77777777777778 0.0833333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.926147880297958
+128 0 3 0 0 40 36 36 1.77777777777778 0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.924033489738888
+128 0 3 0 0 41 36 36 1.77777777777778 0.138888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.920818233193455
+128 0 3 0 0 42 36 36 1.77777777777778 0.166666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.916919384356027
+128 0 3 0 0 43 36 36 1.77777777777778 0.194444444444444 -5.55111512312578e-17 -5.55111512312578e-17 0.912613836832073
+
+
diff --git a/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi.y.asc b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi.y.asc
new file mode 100644
index 000000000..305349452
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi.y.asc
@@ -0,0 +1,227 @@
+# WAVETOY::phi y (phi)
+#
+# iteration 64
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 0 0 0 40 0 40 0.888888888888889 0.111111111111111 -1 0.111111111111111 0.873700996777018
+64 0 0 0 0 40 8 40 0.888888888888889 0.111111111111111 -0.777777777777778 0.111111111111111 0.807676282684182
+64 0 0 0 0 40 16 40 0.888888888888889 0.111111111111111 -0.555555555555556 0.111111111111111 0.756699260944861
+64 0 0 0 0 40 24 40 0.888888888888889 0.111111111111111 -0.333333333333333 0.111111111111111 0.730294733882952
+64 0 0 0 0 40 32 40 0.888888888888889 0.111111111111111 -0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 0 0 40 40 40 0.888888888888889 0.111111111111111 0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 0 0 40 48 40 0.888888888888889 0.111111111111111 0.333333333333333 0.111111111111111 0.730294733882952
+64 0 0 0 0 40 56 40 0.888888888888889 0.111111111111111 0.555555555555556 0.111111111111111 0.756699260944861
+64 0 0 0 0 40 64 40 0.888888888888889 0.111111111111111 0.777777777777778 0.111111111111111 0.807676282684182
+64 0 0 0 0 40 72 40 0.888888888888889 0.111111111111111 1 0.111111111111111 0.873700996777018
+
+
+# iteration 64
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 1 0 0 36 8 36 0.888888888888889 -5.55111512312578e-17 -0.777777777777778 -5.55111512312578e-17 0.808379332677938
+64 0 1 0 0 36 12 36 0.888888888888889 -5.55111512312578e-17 -0.666666666666667 -5.55111512312578e-17 0.779665123251562
+64 0 1 0 0 36 16 36 0.888888888888889 -5.55111512312578e-17 -0.555555555555556 -5.55111512312578e-17 0.756097245006156
+64 0 1 0 0 36 20 36 0.888888888888889 -5.55111512312578e-17 -0.444444444444444 -5.55111512312578e-17 0.739694852518638
+64 0 1 0 0 36 24 36 0.888888888888889 -5.55111512312578e-17 -0.333333333333333 -5.55111512312578e-17 0.729218296316213
+64 0 1 0 0 36 28 36 0.888888888888889 -5.55111512312578e-17 -0.222222222222222 -5.55111512312578e-17 0.725100663327575
+64 0 1 0 0 36 32 36 0.888888888888889 -5.55111512312578e-17 -0.111111111111111 -5.55111512312578e-17 0.724342898925177
+64 0 1 0 0 36 36 36 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.723733474251298
+64 0 1 0 0 36 40 36 0.888888888888889 -5.55111512312578e-17 0.111111111111111 -5.55111512312578e-17 0.724342898925177
+64 0 1 0 0 36 44 36 0.888888888888889 -5.55111512312578e-17 0.222222222222222 -5.55111512312578e-17 0.725100663327574
+64 0 1 0 0 36 48 36 0.888888888888889 -5.55111512312578e-17 0.333333333333333 -5.55111512312578e-17 0.729218296316213
+64 0 1 0 0 36 52 36 0.888888888888889 -5.55111512312578e-17 0.444444444444444 -5.55111512312578e-17 0.739694852518638
+64 0 1 0 0 36 56 36 0.888888888888889 -5.55111512312578e-17 0.555555555555555 -5.55111512312578e-17 0.756097245006155
+64 0 1 0 0 36 60 36 0.888888888888889 -5.55111512312578e-17 0.666666666666667 -5.55111512312578e-17 0.779665123251561
+64 0 1 0 0 36 64 36 0.888888888888889 -5.55111512312578e-17 0.777777777777778 -5.55111512312578e-17 0.808379332677938
+
+
+# iteration 64
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 2 0 0 36 22 36 0.888888888888889 -5.55111512312578e-17 -0.388888888888889 -5.55111512312578e-17 0.733688776948746
+64 0 2 0 0 36 24 36 0.888888888888889 -5.55111512312578e-17 -0.333333333333333 -5.55111512312578e-17 0.729218296316213
+64 0 2 0 0 36 26 36 0.888888888888889 -5.55111512312578e-17 -0.277777777777778 -5.55111512312578e-17 0.726552055334392
+64 0 2 0 0 36 28 36 0.888888888888889 -5.55111512312578e-17 -0.222222222222222 -5.55111512312578e-17 0.725100663327575
+64 0 2 0 0 36 30 36 0.888888888888889 -5.55111512312578e-17 -0.166666666666667 -5.55111512312578e-17 0.724502518106703
+64 0 2 0 0 36 32 36 0.888888888888889 -5.55111512312578e-17 -0.111111111111111 -5.55111512312578e-17 0.724342898925177
+64 0 2 0 0 36 34 36 0.888888888888889 -5.55111512312578e-17 -0.0555555555555556 -5.55111512312578e-17 0.72395273727097
+64 0 2 0 0 36 36 36 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.723733474251298
+64 0 2 0 0 36 38 36 0.888888888888889 -5.55111512312578e-17 0.0555555555555555 -5.55111512312578e-17 0.72395273727097
+64 0 2 0 0 36 40 36 0.888888888888889 -5.55111512312578e-17 0.111111111111111 -5.55111512312578e-17 0.724342898925177
+64 0 2 0 0 36 42 36 0.888888888888889 -5.55111512312578e-17 0.166666666666667 -5.55111512312578e-17 0.724502518106703
+64 0 2 0 0 36 44 36 0.888888888888889 -5.55111512312578e-17 0.222222222222222 -5.55111512312578e-17 0.725100663327574
+64 0 2 0 0 36 46 36 0.888888888888889 -5.55111512312578e-17 0.277777777777778 -5.55111512312578e-17 0.726552055334392
+64 0 2 0 0 36 48 36 0.888888888888889 -5.55111512312578e-17 0.333333333333333 -5.55111512312578e-17 0.729218296316213
+64 0 2 0 0 36 50 36 0.888888888888889 -5.55111512312578e-17 0.388888888888889 -5.55111512312578e-17 0.733688776948745
+
+
+# iteration 64
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 3 0 0 36 29 36 0.888888888888889 -5.55111512312578e-17 -0.194444444444445 -5.55111512312578e-17 0.724720854915558
+64 0 3 0 0 36 30 36 0.888888888888889 -5.55111512312578e-17 -0.166666666666667 -5.55111512312578e-17 0.724502518106703
+64 0 3 0 0 36 31 36 0.888888888888889 -5.55111512312578e-17 -0.138888888888889 -5.55111512312578e-17 0.724409709543024
+64 0 3 0 0 36 32 36 0.888888888888889 -5.55111512312578e-17 -0.111111111111111 -5.55111512312578e-17 0.724342898925177
+64 0 3 0 0 36 33 36 0.888888888888889 -5.55111512312578e-17 -0.0833333333333334 -5.55111512312578e-17 0.724151545837958
+64 0 3 0 0 36 34 36 0.888888888888889 -5.55111512312578e-17 -0.0555555555555556 -5.55111512312578e-17 0.72395273727097
+64 0 3 0 0 36 35 36 0.888888888888889 -5.55111512312578e-17 -0.0277777777777778 -5.55111512312578e-17 0.723805016719017
+64 0 3 0 0 36 36 36 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.723733474251298
+64 0 3 0 0 36 37 36 0.888888888888889 -5.55111512312578e-17 0.0277777777777777 -5.55111512312578e-17 0.723805016719017
+64 0 3 0 0 36 38 36 0.888888888888889 -5.55111512312578e-17 0.0555555555555555 -5.55111512312578e-17 0.72395273727097
+64 0 3 0 0 36 39 36 0.888888888888889 -5.55111512312578e-17 0.0833333333333333 -5.55111512312578e-17 0.724151545837958
+64 0 3 0 0 36 40 36 0.888888888888889 -5.55111512312578e-17 0.111111111111111 -5.55111512312578e-17 0.724342898925177
+64 0 3 0 0 36 41 36 0.888888888888889 -5.55111512312578e-17 0.138888888888889 -5.55111512312578e-17 0.724409709543024
+64 0 3 0 0 36 42 36 0.888888888888889 -5.55111512312578e-17 0.166666666666667 -5.55111512312578e-17 0.724502518106703
+64 0 3 0 0 36 43 36 0.888888888888889 -5.55111512312578e-17 0.194444444444444 -5.55111512312578e-17 0.724720854915558
+
+
+# iteration 96
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 0 0 0 40 0 40 1.33333333333333 0.111111111111111 -1 0.111111111111111 0.877480603359996
+96 0 0 0 0 40 8 40 1.33333333333333 0.111111111111111 -0.777777777777778 0.111111111111111 0.798008089475601
+96 0 0 0 0 40 16 40 1.33333333333333 0.111111111111111 -0.555555555555556 0.111111111111111 0.735090597558599
+96 0 0 0 0 40 24 40 1.33333333333333 0.111111111111111 -0.333333333333333 0.111111111111111 0.677899959110667
+96 0 0 0 0 40 32 40 1.33333333333333 0.111111111111111 -0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 0 0 40 40 40 1.33333333333333 0.111111111111111 0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 0 0 40 48 40 1.33333333333333 0.111111111111111 0.333333333333333 0.111111111111111 0.677899959110667
+96 0 0 0 0 40 56 40 1.33333333333333 0.111111111111111 0.555555555555556 0.111111111111111 0.735090597558599
+96 0 0 0 0 40 64 40 1.33333333333333 0.111111111111111 0.777777777777778 0.111111111111111 0.798008089475601
+96 0 0 0 0 40 72 40 1.33333333333333 0.111111111111111 1 0.111111111111111 0.877480603359996
+
+
+# iteration 96
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 1 0 0 36 8 36 1.33333333333333 -5.55111512312578e-17 -0.777777777777778 -5.55111512312578e-17 0.796688784792057
+96 0 1 0 0 36 12 36 1.33333333333333 -5.55111512312578e-17 -0.666666666666667 -5.55111512312578e-17 0.76190136189151
+96 0 1 0 0 36 16 36 1.33333333333333 -5.55111512312578e-17 -0.555555555555556 -5.55111512312578e-17 0.729928937348657
+96 0 1 0 0 36 20 36 1.33333333333333 -5.55111512312578e-17 -0.444444444444444 -5.55111512312578e-17 0.698215010923196
+96 0 1 0 0 36 24 36 1.33333333333333 -5.55111512312578e-17 -0.333333333333333 -5.55111512312578e-17 0.668908746807157
+96 0 1 0 0 36 28 36 1.33333333333333 -5.55111512312578e-17 -0.222222222222222 -5.55111512312578e-17 0.641345710414296
+96 0 1 0 0 36 32 36 1.33333333333333 -5.55111512312578e-17 -0.111111111111111 -5.55111512312578e-17 0.621410197839124
+96 0 1 0 0 36 36 36 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.61547287921812
+96 0 1 0 0 36 40 36 1.33333333333333 -5.55111512312578e-17 0.111111111111111 -5.55111512312578e-17 0.621410197839125
+96 0 1 0 0 36 44 36 1.33333333333333 -5.55111512312578e-17 0.222222222222222 -5.55111512312578e-17 0.641345710414297
+96 0 1 0 0 36 48 36 1.33333333333333 -5.55111512312578e-17 0.333333333333333 -5.55111512312578e-17 0.668908746807157
+96 0 1 0 0 36 52 36 1.33333333333333 -5.55111512312578e-17 0.444444444444444 -5.55111512312578e-17 0.698215010923196
+96 0 1 0 0 36 56 36 1.33333333333333 -5.55111512312578e-17 0.555555555555555 -5.55111512312578e-17 0.729928937348657
+96 0 1 0 0 36 60 36 1.33333333333333 -5.55111512312578e-17 0.666666666666667 -5.55111512312578e-17 0.76190136189151
+96 0 1 0 0 36 64 36 1.33333333333333 -5.55111512312578e-17 0.777777777777778 -5.55111512312578e-17 0.796688784792057
+
+
+# iteration 96
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 2 0 0 36 22 36 1.33333333333333 -5.55111512312578e-17 -0.388888888888889 -5.55111512312578e-17 0.683302448238139
+96 0 2 0 0 36 24 36 1.33333333333333 -5.55111512312578e-17 -0.333333333333333 -5.55111512312578e-17 0.668908746807157
+96 0 2 0 0 36 26 36 1.33333333333333 -5.55111512312578e-17 -0.277777777777778 -5.55111512312578e-17 0.654541556639422
+96 0 2 0 0 36 28 36 1.33333333333333 -5.55111512312578e-17 -0.222222222222222 -5.55111512312578e-17 0.641345710414296
+96 0 2 0 0 36 30 36 1.33333333333333 -5.55111512312578e-17 -0.166666666666667 -5.55111512312578e-17 0.630026346765969
+96 0 2 0 0 36 32 36 1.33333333333333 -5.55111512312578e-17 -0.111111111111111 -5.55111512312578e-17 0.621410197839124
+96 0 2 0 0 36 34 36 1.33333333333333 -5.55111512312578e-17 -0.0555555555555556 -5.55111512312578e-17 0.616824486578861
+96 0 2 0 0 36 36 36 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.61547287921812
+96 0 2 0 0 36 38 36 1.33333333333333 -5.55111512312578e-17 0.0555555555555555 -5.55111512312578e-17 0.616824486578861
+96 0 2 0 0 36 40 36 1.33333333333333 -5.55111512312578e-17 0.111111111111111 -5.55111512312578e-17 0.621410197839125
+96 0 2 0 0 36 42 36 1.33333333333333 -5.55111512312578e-17 0.166666666666667 -5.55111512312578e-17 0.63002634676597
+96 0 2 0 0 36 44 36 1.33333333333333 -5.55111512312578e-17 0.222222222222222 -5.55111512312578e-17 0.641345710414297
+96 0 2 0 0 36 46 36 1.33333333333333 -5.55111512312578e-17 0.277777777777778 -5.55111512312578e-17 0.654541556639422
+96 0 2 0 0 36 48 36 1.33333333333333 -5.55111512312578e-17 0.333333333333333 -5.55111512312578e-17 0.668908746807157
+96 0 2 0 0 36 50 36 1.33333333333333 -5.55111512312578e-17 0.388888888888889 -5.55111512312578e-17 0.683302448238139
+
+
+# iteration 96
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 3 0 0 36 29 36 1.33333333333333 -5.55111512312578e-17 -0.194444444444445 -5.55111512312578e-17 0.63539979750899
+96 0 3 0 0 36 30 36 1.33333333333333 -5.55111512312578e-17 -0.166666666666667 -5.55111512312578e-17 0.630026346765969
+96 0 3 0 0 36 31 36 1.33333333333333 -5.55111512312578e-17 -0.138888888888889 -5.55111512312578e-17 0.625297419028293
+96 0 3 0 0 36 32 36 1.33333333333333 -5.55111512312578e-17 -0.111111111111111 -5.55111512312578e-17 0.621410197839124
+96 0 3 0 0 36 33 36 1.33333333333333 -5.55111512312578e-17 -0.0833333333333334 -5.55111512312578e-17 0.618663308361111
+96 0 3 0 0 36 34 36 1.33333333333333 -5.55111512312578e-17 -0.0555555555555556 -5.55111512312578e-17 0.616824486578861
+96 0 3 0 0 36 35 36 1.33333333333333 -5.55111512312578e-17 -0.0277777777777778 -5.55111512312578e-17 0.615777600484678
+96 0 3 0 0 36 36 36 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.61547287921812
+96 0 3 0 0 36 37 36 1.33333333333333 -5.55111512312578e-17 0.0277777777777777 -5.55111512312578e-17 0.615777600484678
+96 0 3 0 0 36 38 36 1.33333333333333 -5.55111512312578e-17 0.0555555555555555 -5.55111512312578e-17 0.616824486578861
+96 0 3 0 0 36 39 36 1.33333333333333 -5.55111512312578e-17 0.0833333333333333 -5.55111512312578e-17 0.618663308361111
+96 0 3 0 0 36 40 36 1.33333333333333 -5.55111512312578e-17 0.111111111111111 -5.55111512312578e-17 0.621410197839125
+96 0 3 0 0 36 41 36 1.33333333333333 -5.55111512312578e-17 0.138888888888889 -5.55111512312578e-17 0.625297419028293
+96 0 3 0 0 36 42 36 1.33333333333333 -5.55111512312578e-17 0.166666666666667 -5.55111512312578e-17 0.63002634676597
+96 0 3 0 0 36 43 36 1.33333333333333 -5.55111512312578e-17 0.194444444444444 -5.55111512312578e-17 0.63539979750899
+
+
+# iteration 128
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 0 0 0 40 0 40 1.77777777777778 0.111111111111111 -1 0.111111111111111 0.873700996777018
+128 0 0 0 0 40 8 40 1.77777777777778 0.111111111111111 -0.777777777777778 0.111111111111111 0.859471717622308
+128 0 0 0 0 40 16 40 1.77777777777778 0.111111111111111 -0.555555555555556 0.111111111111111 0.863004424640887
+128 0 0 0 0 40 24 40 1.77777777777778 0.111111111111111 -0.333333333333333 0.111111111111111 0.883486952153519
+128 0 0 0 0 40 32 40 1.77777777777778 0.111111111111111 -0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 0 0 40 40 40 1.77777777777778 0.111111111111111 0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 0 0 40 48 40 1.77777777777778 0.111111111111111 0.333333333333333 0.111111111111111 0.883486952153519
+128 0 0 0 0 40 56 40 1.77777777777778 0.111111111111111 0.555555555555556 0.111111111111111 0.863004424640887
+128 0 0 0 0 40 64 40 1.77777777777778 0.111111111111111 0.777777777777778 0.111111111111111 0.859471717622308
+128 0 0 0 0 40 72 40 1.77777777777778 0.111111111111111 1 0.111111111111111 0.873700996777018
+
+
+# iteration 128
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 1 0 0 36 8 36 1.77777777777778 -5.55111512312578e-17 -0.777777777777778 -5.55111512312578e-17 0.862653663591007
+128 0 1 0 0 36 12 36 1.77777777777778 -5.55111512312578e-17 -0.666666666666667 -5.55111512312578e-17 0.862560028606905
+128 0 1 0 0 36 16 36 1.77777777777778 -5.55111512312578e-17 -0.555555555555556 -5.55111512312578e-17 0.866965759785718
+128 0 1 0 0 36 20 36 1.77777777777778 -5.55111512312578e-17 -0.444444444444444 -5.55111512312578e-17 0.876167092595071
+128 0 1 0 0 36 24 36 1.77777777777778 -5.55111512312578e-17 -0.333333333333333 -5.55111512312578e-17 0.889185421864397
+128 0 1 0 0 36 28 36 1.77777777777778 -5.55111512312578e-17 -0.222222222222222 -5.55111512312578e-17 0.907998184681559
+128 0 1 0 0 36 32 36 1.77777777777778 -5.55111512312578e-17 -0.111111111111111 -5.55111512312578e-17 0.924033489738888
+128 0 1 0 0 36 36 36 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.928389498223199
+128 0 1 0 0 36 40 36 1.77777777777778 -5.55111512312578e-17 0.111111111111111 -5.55111512312578e-17 0.924033489738888
+128 0 1 0 0 36 44 36 1.77777777777778 -5.55111512312578e-17 0.222222222222222 -5.55111512312578e-17 0.907998184681559
+128 0 1 0 0 36 48 36 1.77777777777778 -5.55111512312578e-17 0.333333333333333 -5.55111512312578e-17 0.889185421864397
+128 0 1 0 0 36 52 36 1.77777777777778 -5.55111512312578e-17 0.444444444444444 -5.55111512312578e-17 0.876167092595071
+128 0 1 0 0 36 56 36 1.77777777777778 -5.55111512312578e-17 0.555555555555555 -5.55111512312578e-17 0.866965759785718
+128 0 1 0 0 36 60 36 1.77777777777778 -5.55111512312578e-17 0.666666666666667 -5.55111512312578e-17 0.862560028606905
+128 0 1 0 0 36 64 36 1.77777777777778 -5.55111512312578e-17 0.777777777777778 -5.55111512312578e-17 0.862653663591007
+
+
+# iteration 128
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 2 0 0 36 22 36 1.77777777777778 -5.55111512312578e-17 -0.388888888888889 -5.55111512312578e-17 0.882075542854246
+128 0 2 0 0 36 24 36 1.77777777777778 -5.55111512312578e-17 -0.333333333333333 -5.55111512312578e-17 0.889185421864397
+128 0 2 0 0 36 26 36 1.77777777777778 -5.55111512312578e-17 -0.277777777777778 -5.55111512312578e-17 0.898403242286228
+128 0 2 0 0 36 28 36 1.77777777777778 -5.55111512312578e-17 -0.222222222222222 -5.55111512312578e-17 0.907998184681559
+128 0 2 0 0 36 30 36 1.77777777777778 -5.55111512312578e-17 -0.166666666666667 -5.55111512312578e-17 0.916919384356027
+128 0 2 0 0 36 32 36 1.77777777777778 -5.55111512312578e-17 -0.111111111111111 -5.55111512312578e-17 0.924033489738888
+128 0 2 0 0 36 34 36 1.77777777777778 -5.55111512312578e-17 -0.0555555555555556 -5.55111512312578e-17 0.927485951077396
+128 0 2 0 0 36 36 36 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.928389498223199
+128 0 2 0 0 36 38 36 1.77777777777778 -5.55111512312578e-17 0.0555555555555555 -5.55111512312578e-17 0.927485951077396
+128 0 2 0 0 36 40 36 1.77777777777778 -5.55111512312578e-17 0.111111111111111 -5.55111512312578e-17 0.924033489738888
+128 0 2 0 0 36 42 36 1.77777777777778 -5.55111512312578e-17 0.166666666666667 -5.55111512312578e-17 0.916919384356027
+128 0 2 0 0 36 44 36 1.77777777777778 -5.55111512312578e-17 0.222222222222222 -5.55111512312578e-17 0.907998184681559
+128 0 2 0 0 36 46 36 1.77777777777778 -5.55111512312578e-17 0.277777777777778 -5.55111512312578e-17 0.898403242286228
+128 0 2 0 0 36 48 36 1.77777777777778 -5.55111512312578e-17 0.333333333333333 -5.55111512312578e-17 0.889185421864397
+128 0 2 0 0 36 50 36 1.77777777777778 -5.55111512312578e-17 0.388888888888889 -5.55111512312578e-17 0.882075542854246
+
+
+# iteration 128
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 3 0 0 36 29 36 1.77777777777778 -5.55111512312578e-17 -0.194444444444445 -5.55111512312578e-17 0.912613836832073
+128 0 3 0 0 36 30 36 1.77777777777778 -5.55111512312578e-17 -0.166666666666667 -5.55111512312578e-17 0.916919384356027
+128 0 3 0 0 36 31 36 1.77777777777778 -5.55111512312578e-17 -0.138888888888889 -5.55111512312578e-17 0.920818233193455
+128 0 3 0 0 36 32 36 1.77777777777778 -5.55111512312578e-17 -0.111111111111111 -5.55111512312578e-17 0.924033489738888
+128 0 3 0 0 36 33 36 1.77777777777778 -5.55111512312578e-17 -0.0833333333333334 -5.55111512312578e-17 0.926147880297958
+128 0 3 0 0 36 34 36 1.77777777777778 -5.55111512312578e-17 -0.0555555555555556 -5.55111512312578e-17 0.927485951077396
+128 0 3 0 0 36 35 36 1.77777777777778 -5.55111512312578e-17 -0.0277777777777778 -5.55111512312578e-17 0.928209975180567
+128 0 3 0 0 36 36 36 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.928389498223199
+128 0 3 0 0 36 37 36 1.77777777777778 -5.55111512312578e-17 0.0277777777777777 -5.55111512312578e-17 0.928209975180567
+128 0 3 0 0 36 38 36 1.77777777777778 -5.55111512312578e-17 0.0555555555555555 -5.55111512312578e-17 0.927485951077396
+128 0 3 0 0 36 39 36 1.77777777777778 -5.55111512312578e-17 0.0833333333333333 -5.55111512312578e-17 0.926147880297958
+128 0 3 0 0 36 40 36 1.77777777777778 -5.55111512312578e-17 0.111111111111111 -5.55111512312578e-17 0.924033489738888
+128 0 3 0 0 36 41 36 1.77777777777778 -5.55111512312578e-17 0.138888888888889 -5.55111512312578e-17 0.920818233193455
+128 0 3 0 0 36 42 36 1.77777777777778 -5.55111512312578e-17 0.166666666666667 -5.55111512312578e-17 0.916919384356027
+128 0 3 0 0 36 43 36 1.77777777777778 -5.55111512312578e-17 0.194444444444444 -5.55111512312578e-17 0.912613836832073
+
+
diff --git a/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi.z.asc b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi.z.asc
new file mode 100644
index 000000000..8868db22c
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi.z.asc
@@ -0,0 +1,227 @@
+# WAVETOY::phi z (phi)
+#
+# iteration 64
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 0 0 0 40 40 0 0.888888888888889 0.111111111111111 0.111111111111111 -1 0.873700996777018
+64 0 0 0 0 40 40 8 0.888888888888889 0.111111111111111 0.111111111111111 -0.777777777777778 0.807676282684182
+64 0 0 0 0 40 40 16 0.888888888888889 0.111111111111111 0.111111111111111 -0.555555555555556 0.756699260944861
+64 0 0 0 0 40 40 24 0.888888888888889 0.111111111111111 0.111111111111111 -0.333333333333333 0.730294733882952
+64 0 0 0 0 40 40 32 0.888888888888889 0.111111111111111 0.111111111111111 -0.111111111111111 0.725539249473295
+64 0 0 0 0 40 40 40 0.888888888888889 0.111111111111111 0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 0 0 40 40 48 0.888888888888889 0.111111111111111 0.111111111111111 0.333333333333333 0.730294733882952
+64 0 0 0 0 40 40 56 0.888888888888889 0.111111111111111 0.111111111111111 0.555555555555556 0.756699260944861
+64 0 0 0 0 40 40 64 0.888888888888889 0.111111111111111 0.111111111111111 0.777777777777778 0.807676282684182
+64 0 0 0 0 40 40 72 0.888888888888889 0.111111111111111 0.111111111111111 1 0.873700996777018
+
+
+# iteration 64
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 1 0 0 36 36 8 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.777777777777778 0.808379332677938
+64 0 1 0 0 36 36 12 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.666666666666667 0.779665123251562
+64 0 1 0 0 36 36 16 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.555555555555556 0.756097245006156
+64 0 1 0 0 36 36 20 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.444444444444444 0.739694852518638
+64 0 1 0 0 36 36 24 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.333333333333333 0.729218296316213
+64 0 1 0 0 36 36 28 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.222222222222222 0.725100663327574
+64 0 1 0 0 36 36 32 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.111111111111111 0.724342898925177
+64 0 1 0 0 36 36 36 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.723733474251298
+64 0 1 0 0 36 36 40 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.111111111111111 0.724342898925177
+64 0 1 0 0 36 36 44 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.222222222222222 0.725100663327574
+64 0 1 0 0 36 36 48 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.333333333333333 0.729218296316213
+64 0 1 0 0 36 36 52 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.444444444444444 0.739694852518638
+64 0 1 0 0 36 36 56 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.555555555555555 0.756097245006155
+64 0 1 0 0 36 36 60 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.666666666666667 0.779665123251561
+64 0 1 0 0 36 36 64 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.777777777777778 0.808379332677938
+
+
+# iteration 64
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 2 0 0 36 36 22 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.388888888888889 0.733688776948746
+64 0 2 0 0 36 36 24 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.333333333333333 0.729218296316213
+64 0 2 0 0 36 36 26 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.277777777777778 0.726552055334392
+64 0 2 0 0 36 36 28 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.222222222222222 0.725100663327574
+64 0 2 0 0 36 36 30 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.166666666666667 0.724502518106703
+64 0 2 0 0 36 36 32 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.111111111111111 0.724342898925177
+64 0 2 0 0 36 36 34 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.0555555555555556 0.72395273727097
+64 0 2 0 0 36 36 36 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.723733474251298
+64 0 2 0 0 36 36 38 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.0555555555555555 0.72395273727097
+64 0 2 0 0 36 36 40 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.111111111111111 0.724342898925177
+64 0 2 0 0 36 36 42 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.166666666666667 0.724502518106703
+64 0 2 0 0 36 36 44 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.222222222222222 0.725100663327574
+64 0 2 0 0 36 36 46 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.277777777777778 0.726552055334391
+64 0 2 0 0 36 36 48 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.333333333333333 0.729218296316213
+64 0 2 0 0 36 36 50 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.388888888888889 0.733688776948745
+
+
+# iteration 64
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 3 0 0 36 36 29 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.194444444444445 0.724720854915558
+64 0 3 0 0 36 36 30 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.166666666666667 0.724502518106703
+64 0 3 0 0 36 36 31 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.138888888888889 0.724409709543024
+64 0 3 0 0 36 36 32 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.111111111111111 0.724342898925177
+64 0 3 0 0 36 36 33 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.0833333333333334 0.724151545837958
+64 0 3 0 0 36 36 34 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.0555555555555556 0.72395273727097
+64 0 3 0 0 36 36 35 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.0277777777777778 0.723805016719017
+64 0 3 0 0 36 36 36 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.723733474251298
+64 0 3 0 0 36 36 37 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.0277777777777777 0.723805016719017
+64 0 3 0 0 36 36 38 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.0555555555555555 0.72395273727097
+64 0 3 0 0 36 36 39 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.0833333333333333 0.724151545837958
+64 0 3 0 0 36 36 40 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.111111111111111 0.724342898925177
+64 0 3 0 0 36 36 41 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.138888888888889 0.724409709543024
+64 0 3 0 0 36 36 42 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.166666666666667 0.724502518106703
+64 0 3 0 0 36 36 43 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.194444444444444 0.724720854915557
+
+
+# iteration 96
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 0 0 0 40 40 0 1.33333333333333 0.111111111111111 0.111111111111111 -1 0.877480603359996
+96 0 0 0 0 40 40 8 1.33333333333333 0.111111111111111 0.111111111111111 -0.777777777777778 0.798008089475601
+96 0 0 0 0 40 40 16 1.33333333333333 0.111111111111111 0.111111111111111 -0.555555555555556 0.735090597558599
+96 0 0 0 0 40 40 24 1.33333333333333 0.111111111111111 0.111111111111111 -0.333333333333333 0.677899959110667
+96 0 0 0 0 40 40 32 1.33333333333333 0.111111111111111 0.111111111111111 -0.111111111111111 0.632828813666694
+96 0 0 0 0 40 40 40 1.33333333333333 0.111111111111111 0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 0 0 40 40 48 1.33333333333333 0.111111111111111 0.111111111111111 0.333333333333333 0.677899959110667
+96 0 0 0 0 40 40 56 1.33333333333333 0.111111111111111 0.111111111111111 0.555555555555556 0.735090597558599
+96 0 0 0 0 40 40 64 1.33333333333333 0.111111111111111 0.111111111111111 0.777777777777778 0.798008089475601
+96 0 0 0 0 40 40 72 1.33333333333333 0.111111111111111 0.111111111111111 1 0.877480603359996
+
+
+# iteration 96
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 1 0 0 36 36 8 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.777777777777778 0.796688784792057
+96 0 1 0 0 36 36 12 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.666666666666667 0.76190136189151
+96 0 1 0 0 36 36 16 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.555555555555556 0.729928937348657
+96 0 1 0 0 36 36 20 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.444444444444444 0.698215010923196
+96 0 1 0 0 36 36 24 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.333333333333333 0.668908746807157
+96 0 1 0 0 36 36 28 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.222222222222222 0.641345710414296
+96 0 1 0 0 36 36 32 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.111111111111111 0.621410197839124
+96 0 1 0 0 36 36 36 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.61547287921812
+96 0 1 0 0 36 36 40 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.111111111111111 0.621410197839124
+96 0 1 0 0 36 36 44 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.222222222222222 0.641345710414297
+96 0 1 0 0 36 36 48 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.333333333333333 0.668908746807157
+96 0 1 0 0 36 36 52 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.444444444444444 0.698215010923196
+96 0 1 0 0 36 36 56 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.555555555555555 0.729928937348657
+96 0 1 0 0 36 36 60 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.666666666666667 0.76190136189151
+96 0 1 0 0 36 36 64 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.777777777777778 0.796688784792057
+
+
+# iteration 96
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 2 0 0 36 36 22 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.388888888888889 0.683302448238139
+96 0 2 0 0 36 36 24 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.333333333333333 0.668908746807157
+96 0 2 0 0 36 36 26 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.277777777777778 0.654541556639422
+96 0 2 0 0 36 36 28 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.222222222222222 0.641345710414296
+96 0 2 0 0 36 36 30 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.166666666666667 0.630026346765969
+96 0 2 0 0 36 36 32 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.111111111111111 0.621410197839124
+96 0 2 0 0 36 36 34 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.0555555555555556 0.616824486578861
+96 0 2 0 0 36 36 36 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.61547287921812
+96 0 2 0 0 36 36 38 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.0555555555555555 0.616824486578861
+96 0 2 0 0 36 36 40 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.111111111111111 0.621410197839124
+96 0 2 0 0 36 36 42 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.166666666666667 0.63002634676597
+96 0 2 0 0 36 36 44 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.222222222222222 0.641345710414297
+96 0 2 0 0 36 36 46 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.277777777777778 0.654541556639422
+96 0 2 0 0 36 36 48 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.333333333333333 0.668908746807157
+96 0 2 0 0 36 36 50 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.388888888888889 0.683302448238139
+
+
+# iteration 96
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 3 0 0 36 36 29 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.194444444444445 0.63539979750899
+96 0 3 0 0 36 36 30 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.166666666666667 0.630026346765969
+96 0 3 0 0 36 36 31 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.138888888888889 0.625297419028293
+96 0 3 0 0 36 36 32 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.111111111111111 0.621410197839124
+96 0 3 0 0 36 36 33 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.0833333333333334 0.618663308361111
+96 0 3 0 0 36 36 34 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.0555555555555556 0.616824486578861
+96 0 3 0 0 36 36 35 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.0277777777777778 0.615777600484678
+96 0 3 0 0 36 36 36 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.61547287921812
+96 0 3 0 0 36 36 37 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.0277777777777777 0.615777600484678
+96 0 3 0 0 36 36 38 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.0555555555555555 0.616824486578861
+96 0 3 0 0 36 36 39 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.0833333333333333 0.618663308361111
+96 0 3 0 0 36 36 40 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.111111111111111 0.621410197839124
+96 0 3 0 0 36 36 41 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.138888888888889 0.625297419028293
+96 0 3 0 0 36 36 42 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.166666666666667 0.63002634676597
+96 0 3 0 0 36 36 43 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.194444444444444 0.63539979750899
+
+
+# iteration 128
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 0 0 0 40 40 0 1.77777777777778 0.111111111111111 0.111111111111111 -1 0.873700996777018
+128 0 0 0 0 40 40 8 1.77777777777778 0.111111111111111 0.111111111111111 -0.777777777777778 0.859471717622308
+128 0 0 0 0 40 40 16 1.77777777777778 0.111111111111111 0.111111111111111 -0.555555555555556 0.863004424640887
+128 0 0 0 0 40 40 24 1.77777777777778 0.111111111111111 0.111111111111111 -0.333333333333333 0.883486952153519
+128 0 0 0 0 40 40 32 1.77777777777778 0.111111111111111 0.111111111111111 -0.111111111111111 0.915799135771738
+128 0 0 0 0 40 40 40 1.77777777777778 0.111111111111111 0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 0 0 40 40 48 1.77777777777778 0.111111111111111 0.111111111111111 0.333333333333333 0.883486952153519
+128 0 0 0 0 40 40 56 1.77777777777778 0.111111111111111 0.111111111111111 0.555555555555556 0.863004424640887
+128 0 0 0 0 40 40 64 1.77777777777778 0.111111111111111 0.111111111111111 0.777777777777778 0.859471717622308
+128 0 0 0 0 40 40 72 1.77777777777778 0.111111111111111 0.111111111111111 1 0.873700996777018
+
+
+# iteration 128
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 1 0 0 36 36 8 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.777777777777778 0.862653663591007
+128 0 1 0 0 36 36 12 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.666666666666667 0.862560028606905
+128 0 1 0 0 36 36 16 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.555555555555556 0.866965759785718
+128 0 1 0 0 36 36 20 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.444444444444444 0.876167092595071
+128 0 1 0 0 36 36 24 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.333333333333333 0.889185421864397
+128 0 1 0 0 36 36 28 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.222222222222222 0.90799818468156
+128 0 1 0 0 36 36 32 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.111111111111111 0.924033489738888
+128 0 1 0 0 36 36 36 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.928389498223199
+128 0 1 0 0 36 36 40 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.111111111111111 0.924033489738888
+128 0 1 0 0 36 36 44 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.222222222222222 0.90799818468156
+128 0 1 0 0 36 36 48 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.333333333333333 0.889185421864397
+128 0 1 0 0 36 36 52 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.444444444444444 0.876167092595071
+128 0 1 0 0 36 36 56 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.555555555555555 0.866965759785718
+128 0 1 0 0 36 36 60 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.666666666666667 0.862560028606905
+128 0 1 0 0 36 36 64 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.777777777777778 0.862653663591007
+
+
+# iteration 128
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 2 0 0 36 36 22 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.388888888888889 0.882075542854246
+128 0 2 0 0 36 36 24 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.333333333333333 0.889185421864397
+128 0 2 0 0 36 36 26 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.277777777777778 0.898403242286228
+128 0 2 0 0 36 36 28 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.222222222222222 0.90799818468156
+128 0 2 0 0 36 36 30 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.166666666666667 0.916919384356027
+128 0 2 0 0 36 36 32 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.111111111111111 0.924033489738888
+128 0 2 0 0 36 36 34 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.0555555555555556 0.927485951077396
+128 0 2 0 0 36 36 36 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.928389498223199
+128 0 2 0 0 36 36 38 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.0555555555555555 0.927485951077396
+128 0 2 0 0 36 36 40 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.111111111111111 0.924033489738888
+128 0 2 0 0 36 36 42 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.166666666666667 0.916919384356027
+128 0 2 0 0 36 36 44 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.222222222222222 0.90799818468156
+128 0 2 0 0 36 36 46 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.277777777777778 0.898403242286228
+128 0 2 0 0 36 36 48 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.333333333333333 0.889185421864397
+128 0 2 0 0 36 36 50 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.388888888888889 0.882075542854246
+
+
+# iteration 128
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 3 0 0 36 36 29 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.194444444444445 0.912613836832073
+128 0 3 0 0 36 36 30 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.166666666666667 0.916919384356027
+128 0 3 0 0 36 36 31 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.138888888888889 0.920818233193455
+128 0 3 0 0 36 36 32 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.111111111111111 0.924033489738888
+128 0 3 0 0 36 36 33 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.0833333333333334 0.926147880297958
+128 0 3 0 0 36 36 34 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.0555555555555556 0.927485951077396
+128 0 3 0 0 36 36 35 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.0277777777777778 0.928209975180567
+128 0 3 0 0 36 36 36 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.928389498223199
+128 0 3 0 0 36 36 37 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.0277777777777777 0.928209975180567
+128 0 3 0 0 36 36 38 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.0555555555555555 0.927485951077396
+128 0 3 0 0 36 36 39 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.0833333333333333 0.926147880297958
+128 0 3 0 0 36 36 40 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.111111111111111 0.924033489738888
+128 0 3 0 0 36 36 41 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.138888888888889 0.920818233193455
+128 0 3 0 0 36 36 42 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.166666666666667 0.916919384356027
+128 0 3 0 0 36 36 43 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.194444444444444 0.912613836832073
+
+
diff --git a/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi_maximum.xg b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi_maximum.xg
new file mode 100644
index 000000000..e25d17d43
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi_maximum.xg
@@ -0,0 +1,4 @@
+"phi v time
+0.8888888888889 0.8737009967770
+1.3333333333333 0.8774806033600
+1.7777777777778 0.9157991357717
diff --git a/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi_minimum.xg b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi_minimum.xg
new file mode 100644
index 000000000..973172b6d
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi_minimum.xg
@@ -0,0 +1,4 @@
+"phi v time
+0.8888888888889 0.6796516032334
+1.3333333333333 0.6328288136667
+1.7777777777778 0.6796516032334
diff --git a/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi_norm1.xg b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi_norm1.xg
new file mode 100644
index 000000000..6e8792bca
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi_norm1.xg
@@ -0,0 +1,4 @@
+"phi v time
+0.8888888888889 0.7927895664365
+1.3333333333333 0.7914772512610
+1.7777777777778 0.8208628581415
diff --git a/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi_norm2.xg b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi_norm2.xg
new file mode 100644
index 000000000..124c22eda
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_1proc/phi_norm2.xg
@@ -0,0 +1,4 @@
+"phi v time
+0.8888888888889 0.7937177688028
+1.3333333333333 0.7927587735574
+1.7777777777778 0.8218200985038
diff --git a/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc.par b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc.par
new file mode 100644
index 000000000..cb72b9b60
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc.par
@@ -0,0 +1,14 @@
+ActiveThorns = "Boundary CartGrid3D Time CoordBase SymBase Carpet CarpetLib CarpetRegrid CarpetReduce CarpetSlab IOUtil IOBasic CarpetIOASCII CarpetIOHDF5 IDScalarWaveC WaveToyC"
+
+
+Cactus::cctk_itlast = 128
+
+# Output
+IO::out_dir = $parfile
+
+# Recovery
+IO::recover_dir = "../../../arrangements/Carpet/CarpetIOHDF5/test"
+IO::recover = "manual"
+IO::recover_file = "CarpetWaveToyCheckpoint_test.it_64"
+
+IOHDF5::checkpoint = "no"
diff --git a/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi.x.asc b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi.x.asc
new file mode 100644
index 000000000..f0d2110bb
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi.x.asc
@@ -0,0 +1,632 @@
+# WAVETOY::phi x (phi)
+#
+# iteration 64
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 0 0 0 0 40 40 0.888888888888889 -1 0.111111111111111 0.111111111111111 0.873700996777018
+64 0 0 0 0 8 40 40 0.888888888888889 -0.777777777777778 0.111111111111111 0.111111111111111 0.807676282684182
+64 0 0 0 0 16 40 40 0.888888888888889 -0.555555555555556 0.111111111111111 0.111111111111111 0.756699260944861
+64 0 0 0 0 24 40 40 0.888888888888889 -0.333333333333333 0.111111111111111 0.111111111111111 0.730294733882952
+64 0 0 0 0 32 40 40 0.888888888888889 -0.111111111111111 0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 0 0 40 40 40 0.888888888888889 0.111111111111111 0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 0 0 48 40 40 0.888888888888889 0.333333333333333 0.111111111111111 0.111111111111111 0.730294733882952
+
+# iteration 64
+# refinement level 0 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 0 1 0 24 40 40 0.888888888888889 -0.333333333333333 0.111111111111111 0.111111111111111 0.730294733882952
+64 0 0 1 0 32 40 40 0.888888888888889 -0.111111111111111 0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 1 0 40 40 40 0.888888888888889 0.111111111111111 0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 1 0 48 40 40 0.888888888888889 0.333333333333333 0.111111111111111 0.111111111111111 0.730294733882952
+64 0 0 1 0 56 40 40 0.888888888888889 0.555555555555556 0.111111111111111 0.111111111111111 0.756699260944861
+64 0 0 1 0 64 40 40 0.888888888888889 0.777777777777778 0.111111111111111 0.111111111111111 0.807676282684182
+64 0 0 1 0 72 40 40 0.888888888888889 1 0.111111111111111 0.111111111111111 0.873700996777018
+
+# iteration 64
+# refinement level 0 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 0 2 0 0 40 40 0.888888888888889 -1 0.111111111111111 0.111111111111111 0.873700996777018
+64 0 0 2 0 8 40 40 0.888888888888889 -0.777777777777778 0.111111111111111 0.111111111111111 0.807676282684182
+64 0 0 2 0 16 40 40 0.888888888888889 -0.555555555555556 0.111111111111111 0.111111111111111 0.756699260944861
+64 0 0 2 0 24 40 40 0.888888888888889 -0.333333333333333 0.111111111111111 0.111111111111111 0.730294733882952
+64 0 0 2 0 32 40 40 0.888888888888889 -0.111111111111111 0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 2 0 40 40 40 0.888888888888889 0.111111111111111 0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 2 0 48 40 40 0.888888888888889 0.333333333333333 0.111111111111111 0.111111111111111 0.730294733882952
+
+# iteration 64
+# refinement level 0 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 0 3 0 24 40 40 0.888888888888889 -0.333333333333333 0.111111111111111 0.111111111111111 0.730294733882952
+64 0 0 3 0 32 40 40 0.888888888888889 -0.111111111111111 0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 3 0 40 40 40 0.888888888888889 0.111111111111111 0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 3 0 48 40 40 0.888888888888889 0.333333333333333 0.111111111111111 0.111111111111111 0.730294733882952
+64 0 0 3 0 56 40 40 0.888888888888889 0.555555555555556 0.111111111111111 0.111111111111111 0.756699260944861
+64 0 0 3 0 64 40 40 0.888888888888889 0.777777777777778 0.111111111111111 0.111111111111111 0.807676282684182
+64 0 0 3 0 72 40 40 0.888888888888889 1 0.111111111111111 0.111111111111111 0.873700996777018
+
+
+# iteration 64
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 1 0 0 8 36 36 0.888888888888889 -0.777777777777778 -5.55111512312578e-17 -9.86623976961809e-17 0.808379332677938
+64 0 1 0 0 12 36 36 0.888888888888889 -0.666666666666667 -5.55111512312578e-17 -9.86623976961809e-17 0.779665123251561
+64 0 1 0 0 16 36 36 0.888888888888889 -0.555555555555556 -5.55111512312578e-17 -9.86623976961809e-17 0.756097245006156
+64 0 1 0 0 20 36 36 0.888888888888889 -0.444444444444444 -5.55111512312578e-17 -9.86623976961809e-17 0.739694852518638
+64 0 1 0 0 24 36 36 0.888888888888889 -0.333333333333333 -5.55111512312578e-17 -9.86623976961809e-17 0.729218296316213
+64 0 1 0 0 28 36 36 0.888888888888889 -0.222222222222222 -5.55111512312578e-17 -9.86623976961809e-17 0.725100663327574
+64 0 1 0 0 32 36 36 0.888888888888889 -0.111111111111111 -5.55111512312578e-17 -9.86623976961809e-17 0.724342898925177
+64 0 1 0 0 36 36 36 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 -9.86623976961809e-17 0.723733474251298
+64 0 1 0 0 40 36 36 0.888888888888889 0.111111111111111 -5.55111512312578e-17 -9.86623976961809e-17 0.724342898925177
+64 0 1 0 0 44 36 36 0.888888888888889 0.222222222222222 -5.55111512312578e-17 -9.86623976961809e-17 0.725100663327574
+
+# iteration 64
+# refinement level 1 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 1 1 0 32 36 36 0.888888888888889 -0.111111111111111 -5.55111512312578e-17 -9.86623976961809e-17 0.724342898925177
+64 0 1 1 0 36 36 36 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -9.86623976961809e-17 0.723733474251298
+64 0 1 1 0 40 36 36 0.888888888888889 0.111111111111111 -5.55111512312578e-17 -9.86623976961809e-17 0.724342898925177
+64 0 1 1 0 44 36 36 0.888888888888889 0.222222222222222 -5.55111512312578e-17 -9.86623976961809e-17 0.725100663327574
+64 0 1 1 0 48 36 36 0.888888888888889 0.333333333333333 -5.55111512312578e-17 -9.86623976961809e-17 0.729218296316213
+64 0 1 1 0 52 36 36 0.888888888888889 0.444444444444444 -5.55111512312578e-17 -9.86623976961809e-17 0.739694852518638
+64 0 1 1 0 56 36 36 0.888888888888889 0.555555555555555 -5.55111512312578e-17 -9.86623976961809e-17 0.756097245006155
+64 0 1 1 0 60 36 36 0.888888888888889 0.666666666666667 -5.55111512312578e-17 -9.86623976961809e-17 0.779665123251561
+64 0 1 1 0 64 36 36 0.888888888888889 0.777777777777778 -5.55111512312578e-17 -9.86623976961809e-17 0.808379332677938
+
+# iteration 64
+# refinement level 1 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 1 2 0 8 36 36 0.888888888888889 -0.777777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.808379332677938
+64 0 1 2 0 12 36 36 0.888888888888889 -0.666666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.779665123251561
+64 0 1 2 0 16 36 36 0.888888888888889 -0.555555555555556 -5.55111512312578e-17 -5.55111512312578e-17 0.756097245006156
+64 0 1 2 0 20 36 36 0.888888888888889 -0.444444444444444 -5.55111512312578e-17 -5.55111512312578e-17 0.739694852518638
+64 0 1 2 0 24 36 36 0.888888888888889 -0.333333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.729218296316213
+64 0 1 2 0 28 36 36 0.888888888888889 -0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.725100663327574
+64 0 1 2 0 32 36 36 0.888888888888889 -0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.724342898925177
+64 0 1 2 0 36 36 36 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.723733474251298
+64 0 1 2 0 40 36 36 0.888888888888889 0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.724342898925177
+64 0 1 2 0 44 36 36 0.888888888888889 0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.725100663327574
+
+# iteration 64
+# refinement level 1 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 1 3 0 32 36 36 0.888888888888889 -0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.724342898925177
+64 0 1 3 0 36 36 36 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.723733474251298
+64 0 1 3 0 40 36 36 0.888888888888889 0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.724342898925177
+64 0 1 3 0 44 36 36 0.888888888888889 0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.725100663327574
+64 0 1 3 0 48 36 36 0.888888888888889 0.333333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.729218296316213
+64 0 1 3 0 52 36 36 0.888888888888889 0.444444444444444 -5.55111512312578e-17 -5.55111512312578e-17 0.739694852518638
+64 0 1 3 0 56 36 36 0.888888888888889 0.555555555555555 -5.55111512312578e-17 -5.55111512312578e-17 0.756097245006155
+64 0 1 3 0 60 36 36 0.888888888888889 0.666666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.779665123251561
+64 0 1 3 0 64 36 36 0.888888888888889 0.777777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.808379332677938
+
+
+# iteration 64
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 2 0 0 22 36 36 0.888888888888889 -0.388888888888889 -5.55111512312578e-17 2.46655994240452e-17 0.733688776948746
+64 0 2 0 0 24 36 36 0.888888888888889 -0.333333333333333 -5.55111512312578e-17 2.46655994240452e-17 0.729218296316213
+64 0 2 0 0 26 36 36 0.888888888888889 -0.277777777777778 -5.55111512312578e-17 2.46655994240452e-17 0.726552055334392
+64 0 2 0 0 28 36 36 0.888888888888889 -0.222222222222222 -5.55111512312578e-17 2.46655994240452e-17 0.725100663327574
+64 0 2 0 0 30 36 36 0.888888888888889 -0.166666666666667 -5.55111512312578e-17 2.46655994240452e-17 0.724502518106703
+64 0 2 0 0 32 36 36 0.888888888888889 -0.111111111111111 -5.55111512312578e-17 2.46655994240452e-17 0.724342898925177
+64 0 2 0 0 34 36 36 0.888888888888889 -0.0555555555555555 -5.55111512312578e-17 2.46655994240452e-17 0.72395273727097
+64 0 2 0 0 36 36 36 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 2.46655994240452e-17 0.723733474251298
+64 0 2 0 0 38 36 36 0.888888888888889 0.0555555555555556 -5.55111512312578e-17 2.46655994240452e-17 0.72395273727097
+64 0 2 0 0 40 36 36 0.888888888888889 0.111111111111111 -5.55111512312578e-17 2.46655994240452e-17 0.724342898925177
+
+# iteration 64
+# refinement level 2 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 2 1 0 34 36 36 0.888888888888889 -0.0555555555555556 -5.55111512312578e-17 2.46655994240452e-17 0.72395273727097
+64 0 2 1 0 36 36 36 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 2.46655994240452e-17 0.723733474251298
+64 0 2 1 0 38 36 36 0.888888888888889 0.0555555555555555 -5.55111512312578e-17 2.46655994240452e-17 0.72395273727097
+64 0 2 1 0 40 36 36 0.888888888888889 0.111111111111111 -5.55111512312578e-17 2.46655994240452e-17 0.724342898925177
+64 0 2 1 0 42 36 36 0.888888888888889 0.166666666666667 -5.55111512312578e-17 2.46655994240452e-17 0.724502518106703
+64 0 2 1 0 44 36 36 0.888888888888889 0.222222222222222 -5.55111512312578e-17 2.46655994240452e-17 0.725100663327574
+64 0 2 1 0 46 36 36 0.888888888888889 0.277777777777778 -5.55111512312578e-17 2.46655994240452e-17 0.726552055334392
+64 0 2 1 0 48 36 36 0.888888888888889 0.333333333333333 -5.55111512312578e-17 2.46655994240452e-17 0.729218296316213
+64 0 2 1 0 50 36 36 0.888888888888889 0.388888888888889 -5.55111512312578e-17 2.46655994240452e-17 0.733688776948745
+
+# iteration 64
+# refinement level 2 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 2 2 0 22 36 36 0.888888888888889 -0.388888888888889 -5.55111512312578e-17 -2.77555756156289e-17 0.733688776948746
+64 0 2 2 0 24 36 36 0.888888888888889 -0.333333333333333 -5.55111512312578e-17 -2.77555756156289e-17 0.729218296316213
+64 0 2 2 0 26 36 36 0.888888888888889 -0.277777777777778 -5.55111512312578e-17 -2.77555756156289e-17 0.726552055334392
+64 0 2 2 0 28 36 36 0.888888888888889 -0.222222222222222 -5.55111512312578e-17 -2.77555756156289e-17 0.725100663327574
+64 0 2 2 0 30 36 36 0.888888888888889 -0.166666666666667 -5.55111512312578e-17 -2.77555756156289e-17 0.724502518106703
+64 0 2 2 0 32 36 36 0.888888888888889 -0.111111111111111 -5.55111512312578e-17 -2.77555756156289e-17 0.724342898925177
+64 0 2 2 0 34 36 36 0.888888888888889 -0.0555555555555555 -5.55111512312578e-17 -2.77555756156289e-17 0.72395273727097
+64 0 2 2 0 36 36 36 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 -2.77555756156289e-17 0.723733474251298
+64 0 2 2 0 38 36 36 0.888888888888889 0.0555555555555556 -5.55111512312578e-17 -2.77555756156289e-17 0.72395273727097
+64 0 2 2 0 40 36 36 0.888888888888889 0.111111111111111 -5.55111512312578e-17 -2.77555756156289e-17 0.724342898925177
+
+# iteration 64
+# refinement level 2 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 2 3 0 34 36 36 0.888888888888889 -0.0555555555555556 -5.55111512312578e-17 -2.77555756156289e-17 0.72395273727097
+64 0 2 3 0 36 36 36 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 -2.77555756156289e-17 0.723733474251298
+64 0 2 3 0 38 36 36 0.888888888888889 0.0555555555555555 -5.55111512312578e-17 -2.77555756156289e-17 0.72395273727097
+64 0 2 3 0 40 36 36 0.888888888888889 0.111111111111111 -5.55111512312578e-17 -2.77555756156289e-17 0.724342898925177
+64 0 2 3 0 42 36 36 0.888888888888889 0.166666666666667 -5.55111512312578e-17 -2.77555756156289e-17 0.724502518106703
+64 0 2 3 0 44 36 36 0.888888888888889 0.222222222222222 -5.55111512312578e-17 -2.77555756156289e-17 0.725100663327574
+64 0 2 3 0 46 36 36 0.888888888888889 0.277777777777778 -5.55111512312578e-17 -2.77555756156289e-17 0.726552055334392
+64 0 2 3 0 48 36 36 0.888888888888889 0.333333333333333 -5.55111512312578e-17 -2.77555756156289e-17 0.729218296316213
+64 0 2 3 0 50 36 36 0.888888888888889 0.388888888888889 -5.55111512312578e-17 -2.77555756156289e-17 0.733688776948745
+
+
+# iteration 64
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 3 0 0 29 36 36 0.888888888888889 -0.194444444444445 -5.55111512312578e-17 0 0.724720854915558
+64 0 3 0 0 30 36 36 0.888888888888889 -0.166666666666667 -5.55111512312578e-17 0 0.724502518106703
+64 0 3 0 0 31 36 36 0.888888888888889 -0.138888888888889 -5.55111512312578e-17 0 0.724409709543024
+64 0 3 0 0 32 36 36 0.888888888888889 -0.111111111111111 -5.55111512312578e-17 0 0.724342898925177
+64 0 3 0 0 33 36 36 0.888888888888889 -0.0833333333333334 -5.55111512312578e-17 0 0.724151545837958
+64 0 3 0 0 34 36 36 0.888888888888889 -0.0555555555555556 -5.55111512312578e-17 0 0.72395273727097
+64 0 3 0 0 35 36 36 0.888888888888889 -0.0277777777777778 -5.55111512312578e-17 0 0.723805016719017
+64 0 3 0 0 36 36 36 0.888888888888889 0 -5.55111512312578e-17 0 0.723733474251298
+64 0 3 0 0 37 36 36 0.888888888888889 0.0277777777777778 -5.55111512312578e-17 0 0.723805016719017
+64 0 3 0 0 38 36 36 0.888888888888889 0.0555555555555556 -5.55111512312578e-17 0 0.72395273727097
+
+# iteration 64
+# refinement level 3 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 3 1 0 35 36 36 0.888888888888889 -0.0277777777777778 -5.55111512312578e-17 0 0.723805016719017
+64 0 3 1 0 36 36 36 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 0 0.723733474251298
+64 0 3 1 0 37 36 36 0.888888888888889 0.0277777777777778 -5.55111512312578e-17 0 0.723805016719017
+64 0 3 1 0 38 36 36 0.888888888888889 0.0555555555555555 -5.55111512312578e-17 0 0.72395273727097
+64 0 3 1 0 39 36 36 0.888888888888889 0.0833333333333333 -5.55111512312578e-17 0 0.724151545837958
+64 0 3 1 0 40 36 36 0.888888888888889 0.111111111111111 -5.55111512312578e-17 0 0.724342898925177
+64 0 3 1 0 41 36 36 0.888888888888889 0.138888888888889 -5.55111512312578e-17 0 0.724409709543024
+64 0 3 1 0 42 36 36 0.888888888888889 0.166666666666667 -5.55111512312578e-17 0 0.724502518106703
+64 0 3 1 0 43 36 36 0.888888888888889 0.194444444444444 -5.55111512312578e-17 0 0.724720854915558
+
+# iteration 64
+# refinement level 3 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 3 2 0 29 36 36 0.888888888888889 -0.194444444444445 -5.55111512312578e-17 -1.38777878078145e-17 0.724720854915558
+64 0 3 2 0 30 36 36 0.888888888888889 -0.166666666666667 -5.55111512312578e-17 -1.38777878078145e-17 0.724502518106703
+64 0 3 2 0 31 36 36 0.888888888888889 -0.138888888888889 -5.55111512312578e-17 -1.38777878078145e-17 0.724409709543024
+64 0 3 2 0 32 36 36 0.888888888888889 -0.111111111111111 -5.55111512312578e-17 -1.38777878078145e-17 0.724342898925177
+64 0 3 2 0 33 36 36 0.888888888888889 -0.0833333333333334 -5.55111512312578e-17 -1.38777878078145e-17 0.724151545837958
+64 0 3 2 0 34 36 36 0.888888888888889 -0.0555555555555556 -5.55111512312578e-17 -1.38777878078145e-17 0.72395273727097
+64 0 3 2 0 35 36 36 0.888888888888889 -0.0277777777777778 -5.55111512312578e-17 -1.38777878078145e-17 0.723805016719017
+64 0 3 2 0 36 36 36 0.888888888888889 0 -5.55111512312578e-17 -1.38777878078145e-17 0.723733474251298
+64 0 3 2 0 37 36 36 0.888888888888889 0.0277777777777778 -5.55111512312578e-17 -1.38777878078145e-17 0.723805016719017
+64 0 3 2 0 38 36 36 0.888888888888889 0.0555555555555556 -5.55111512312578e-17 -1.38777878078145e-17 0.72395273727097
+
+# iteration 64
+# refinement level 3 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 3 3 0 35 36 36 0.888888888888889 -0.0277777777777778 -5.55111512312578e-17 -1.38777878078145e-17 0.723805016719017
+64 0 3 3 0 36 36 36 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 -1.38777878078145e-17 0.723733474251298
+64 0 3 3 0 37 36 36 0.888888888888889 0.0277777777777778 -5.55111512312578e-17 -1.38777878078145e-17 0.723805016719017
+64 0 3 3 0 38 36 36 0.888888888888889 0.0555555555555555 -5.55111512312578e-17 -1.38777878078145e-17 0.72395273727097
+64 0 3 3 0 39 36 36 0.888888888888889 0.0833333333333333 -5.55111512312578e-17 -1.38777878078145e-17 0.724151545837958
+64 0 3 3 0 40 36 36 0.888888888888889 0.111111111111111 -5.55111512312578e-17 -1.38777878078145e-17 0.724342898925177
+64 0 3 3 0 41 36 36 0.888888888888889 0.138888888888889 -5.55111512312578e-17 -1.38777878078145e-17 0.724409709543024
+64 0 3 3 0 42 36 36 0.888888888888889 0.166666666666667 -5.55111512312578e-17 -1.38777878078145e-17 0.724502518106703
+64 0 3 3 0 43 36 36 0.888888888888889 0.194444444444444 -5.55111512312578e-17 -1.38777878078145e-17 0.724720854915558
+
+
+# iteration 96
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 0 0 0 0 40 40 1.33333333333333 -1 0.111111111111111 0.111111111111111 0.877480603359996
+96 0 0 0 0 8 40 40 1.33333333333333 -0.777777777777778 0.111111111111111 0.111111111111111 0.798008089475601
+96 0 0 0 0 16 40 40 1.33333333333333 -0.555555555555556 0.111111111111111 0.111111111111111 0.735090597558599
+96 0 0 0 0 24 40 40 1.33333333333333 -0.333333333333333 0.111111111111111 0.111111111111111 0.677899959110667
+96 0 0 0 0 32 40 40 1.33333333333333 -0.111111111111111 0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 0 0 40 40 40 1.33333333333333 0.111111111111111 0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 0 0 48 40 40 1.33333333333333 0.333333333333333 0.111111111111111 0.111111111111111 0.677899959110667
+
+# iteration 96
+# refinement level 0 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 0 1 0 24 40 40 1.33333333333333 -0.333333333333333 0.111111111111111 0.111111111111111 0.677899959110667
+96 0 0 1 0 32 40 40 1.33333333333333 -0.111111111111111 0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 1 0 40 40 40 1.33333333333333 0.111111111111111 0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 1 0 48 40 40 1.33333333333333 0.333333333333333 0.111111111111111 0.111111111111111 0.677899959110667
+96 0 0 1 0 56 40 40 1.33333333333333 0.555555555555556 0.111111111111111 0.111111111111111 0.735090597558599
+96 0 0 1 0 64 40 40 1.33333333333333 0.777777777777778 0.111111111111111 0.111111111111111 0.798008089475601
+96 0 0 1 0 72 40 40 1.33333333333333 1 0.111111111111111 0.111111111111111 0.877480603359996
+
+# iteration 96
+# refinement level 0 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 0 2 0 0 40 40 1.33333333333333 -1 0.111111111111111 0.111111111111111 0.877480603359996
+96 0 0 2 0 8 40 40 1.33333333333333 -0.777777777777778 0.111111111111111 0.111111111111111 0.798008089475601
+96 0 0 2 0 16 40 40 1.33333333333333 -0.555555555555556 0.111111111111111 0.111111111111111 0.735090597558599
+96 0 0 2 0 24 40 40 1.33333333333333 -0.333333333333333 0.111111111111111 0.111111111111111 0.677899959110667
+96 0 0 2 0 32 40 40 1.33333333333333 -0.111111111111111 0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 2 0 40 40 40 1.33333333333333 0.111111111111111 0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 2 0 48 40 40 1.33333333333333 0.333333333333333 0.111111111111111 0.111111111111111 0.677899959110667
+
+# iteration 96
+# refinement level 0 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 0 3 0 24 40 40 1.33333333333333 -0.333333333333333 0.111111111111111 0.111111111111111 0.677899959110667
+96 0 0 3 0 32 40 40 1.33333333333333 -0.111111111111111 0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 3 0 40 40 40 1.33333333333333 0.111111111111111 0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 3 0 48 40 40 1.33333333333333 0.333333333333333 0.111111111111111 0.111111111111111 0.677899959110667
+96 0 0 3 0 56 40 40 1.33333333333333 0.555555555555556 0.111111111111111 0.111111111111111 0.735090597558599
+96 0 0 3 0 64 40 40 1.33333333333333 0.777777777777778 0.111111111111111 0.111111111111111 0.798008089475601
+96 0 0 3 0 72 40 40 1.33333333333333 1 0.111111111111111 0.111111111111111 0.877480603359996
+
+
+# iteration 96
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 1 0 0 8 36 36 1.33333333333333 -0.777777777777778 -5.55111512312578e-17 -9.86623976961809e-17 0.796688784792057
+96 0 1 0 0 12 36 36 1.33333333333333 -0.666666666666667 -5.55111512312578e-17 -9.86623976961809e-17 0.76190136189151
+96 0 1 0 0 16 36 36 1.33333333333333 -0.555555555555556 -5.55111512312578e-17 -9.86623976961809e-17 0.729928937348657
+96 0 1 0 0 20 36 36 1.33333333333333 -0.444444444444444 -5.55111512312578e-17 -9.86623976961809e-17 0.698215010923196
+96 0 1 0 0 24 36 36 1.33333333333333 -0.333333333333333 -5.55111512312578e-17 -9.86623976961809e-17 0.668908746807157
+96 0 1 0 0 28 36 36 1.33333333333333 -0.222222222222222 -5.55111512312578e-17 -9.86623976961809e-17 0.641345710414296
+96 0 1 0 0 32 36 36 1.33333333333333 -0.111111111111111 -5.55111512312578e-17 -9.86623976961809e-17 0.621410197839124
+96 0 1 0 0 36 36 36 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 -9.86623976961809e-17 0.61547287921812
+96 0 1 0 0 40 36 36 1.33333333333333 0.111111111111111 -5.55111512312578e-17 -9.86623976961809e-17 0.621410197839125
+96 0 1 0 0 44 36 36 1.33333333333333 0.222222222222222 -5.55111512312578e-17 -9.86623976961809e-17 0.641345710414296
+
+# iteration 96
+# refinement level 1 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 1 1 0 32 36 36 1.33333333333333 -0.111111111111111 -5.55111512312578e-17 -9.86623976961809e-17 0.621410197839124
+96 0 1 1 0 36 36 36 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -9.86623976961809e-17 0.61547287921812
+96 0 1 1 0 40 36 36 1.33333333333333 0.111111111111111 -5.55111512312578e-17 -9.86623976961809e-17 0.621410197839125
+96 0 1 1 0 44 36 36 1.33333333333333 0.222222222222222 -5.55111512312578e-17 -9.86623976961809e-17 0.641345710414296
+96 0 1 1 0 48 36 36 1.33333333333333 0.333333333333333 -5.55111512312578e-17 -9.86623976961809e-17 0.668908746807157
+96 0 1 1 0 52 36 36 1.33333333333333 0.444444444444444 -5.55111512312578e-17 -9.86623976961809e-17 0.698215010923196
+96 0 1 1 0 56 36 36 1.33333333333333 0.555555555555555 -5.55111512312578e-17 -9.86623976961809e-17 0.729928937348657
+96 0 1 1 0 60 36 36 1.33333333333333 0.666666666666667 -5.55111512312578e-17 -9.86623976961809e-17 0.76190136189151
+96 0 1 1 0 64 36 36 1.33333333333333 0.777777777777778 -5.55111512312578e-17 -9.86623976961809e-17 0.796688784792057
+
+# iteration 96
+# refinement level 1 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 1 2 0 8 36 36 1.33333333333333 -0.777777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.796688784792057
+96 0 1 2 0 12 36 36 1.33333333333333 -0.666666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.76190136189151
+96 0 1 2 0 16 36 36 1.33333333333333 -0.555555555555556 -5.55111512312578e-17 -5.55111512312578e-17 0.729928937348657
+96 0 1 2 0 20 36 36 1.33333333333333 -0.444444444444444 -5.55111512312578e-17 -5.55111512312578e-17 0.698215010923196
+96 0 1 2 0 24 36 36 1.33333333333333 -0.333333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.668908746807157
+96 0 1 2 0 28 36 36 1.33333333333333 -0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.641345710414296
+96 0 1 2 0 32 36 36 1.33333333333333 -0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.621410197839124
+96 0 1 2 0 36 36 36 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.61547287921812
+96 0 1 2 0 40 36 36 1.33333333333333 0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.621410197839125
+96 0 1 2 0 44 36 36 1.33333333333333 0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.641345710414296
+
+# iteration 96
+# refinement level 1 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 1 3 0 32 36 36 1.33333333333333 -0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.621410197839124
+96 0 1 3 0 36 36 36 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.61547287921812
+96 0 1 3 0 40 36 36 1.33333333333333 0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.621410197839125
+96 0 1 3 0 44 36 36 1.33333333333333 0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.641345710414296
+96 0 1 3 0 48 36 36 1.33333333333333 0.333333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.668908746807157
+96 0 1 3 0 52 36 36 1.33333333333333 0.444444444444444 -5.55111512312578e-17 -5.55111512312578e-17 0.698215010923196
+96 0 1 3 0 56 36 36 1.33333333333333 0.555555555555555 -5.55111512312578e-17 -5.55111512312578e-17 0.729928937348657
+96 0 1 3 0 60 36 36 1.33333333333333 0.666666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.76190136189151
+96 0 1 3 0 64 36 36 1.33333333333333 0.777777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.796688784792057
+
+
+# iteration 96
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 2 0 0 22 36 36 1.33333333333333 -0.388888888888889 -5.55111512312578e-17 2.46655994240452e-17 0.683302448238139
+96 0 2 0 0 24 36 36 1.33333333333333 -0.333333333333333 -5.55111512312578e-17 2.46655994240452e-17 0.668908746807157
+96 0 2 0 0 26 36 36 1.33333333333333 -0.277777777777778 -5.55111512312578e-17 2.46655994240452e-17 0.654541556639422
+96 0 2 0 0 28 36 36 1.33333333333333 -0.222222222222222 -5.55111512312578e-17 2.46655994240452e-17 0.641345710414296
+96 0 2 0 0 30 36 36 1.33333333333333 -0.166666666666667 -5.55111512312578e-17 2.46655994240452e-17 0.630026346765969
+96 0 2 0 0 32 36 36 1.33333333333333 -0.111111111111111 -5.55111512312578e-17 2.46655994240452e-17 0.621410197839124
+96 0 2 0 0 34 36 36 1.33333333333333 -0.0555555555555555 -5.55111512312578e-17 2.46655994240452e-17 0.616824486578861
+96 0 2 0 0 36 36 36 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 2.46655994240452e-17 0.61547287921812
+96 0 2 0 0 38 36 36 1.33333333333333 0.0555555555555556 -5.55111512312578e-17 2.46655994240452e-17 0.616824486578861
+96 0 2 0 0 40 36 36 1.33333333333333 0.111111111111111 -5.55111512312578e-17 2.46655994240452e-17 0.621410197839125
+
+# iteration 96
+# refinement level 2 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 2 1 0 34 36 36 1.33333333333333 -0.0555555555555556 -5.55111512312578e-17 2.46655994240452e-17 0.616824486578861
+96 0 2 1 0 36 36 36 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 2.46655994240452e-17 0.61547287921812
+96 0 2 1 0 38 36 36 1.33333333333333 0.0555555555555555 -5.55111512312578e-17 2.46655994240452e-17 0.616824486578861
+96 0 2 1 0 40 36 36 1.33333333333333 0.111111111111111 -5.55111512312578e-17 2.46655994240452e-17 0.621410197839125
+96 0 2 1 0 42 36 36 1.33333333333333 0.166666666666667 -5.55111512312578e-17 2.46655994240452e-17 0.63002634676597
+96 0 2 1 0 44 36 36 1.33333333333333 0.222222222222222 -5.55111512312578e-17 2.46655994240452e-17 0.641345710414296
+96 0 2 1 0 46 36 36 1.33333333333333 0.277777777777778 -5.55111512312578e-17 2.46655994240452e-17 0.654541556639422
+96 0 2 1 0 48 36 36 1.33333333333333 0.333333333333333 -5.55111512312578e-17 2.46655994240452e-17 0.668908746807157
+96 0 2 1 0 50 36 36 1.33333333333333 0.388888888888889 -5.55111512312578e-17 2.46655994240452e-17 0.683302448238139
+
+# iteration 96
+# refinement level 2 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 2 2 0 22 36 36 1.33333333333333 -0.388888888888889 -5.55111512312578e-17 -2.77555756156289e-17 0.683302448238139
+96 0 2 2 0 24 36 36 1.33333333333333 -0.333333333333333 -5.55111512312578e-17 -2.77555756156289e-17 0.668908746807157
+96 0 2 2 0 26 36 36 1.33333333333333 -0.277777777777778 -5.55111512312578e-17 -2.77555756156289e-17 0.654541556639422
+96 0 2 2 0 28 36 36 1.33333333333333 -0.222222222222222 -5.55111512312578e-17 -2.77555756156289e-17 0.641345710414296
+96 0 2 2 0 30 36 36 1.33333333333333 -0.166666666666667 -5.55111512312578e-17 -2.77555756156289e-17 0.630026346765969
+96 0 2 2 0 32 36 36 1.33333333333333 -0.111111111111111 -5.55111512312578e-17 -2.77555756156289e-17 0.621410197839124
+96 0 2 2 0 34 36 36 1.33333333333333 -0.0555555555555555 -5.55111512312578e-17 -2.77555756156289e-17 0.616824486578861
+96 0 2 2 0 36 36 36 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 -2.77555756156289e-17 0.61547287921812
+96 0 2 2 0 38 36 36 1.33333333333333 0.0555555555555556 -5.55111512312578e-17 -2.77555756156289e-17 0.616824486578861
+96 0 2 2 0 40 36 36 1.33333333333333 0.111111111111111 -5.55111512312578e-17 -2.77555756156289e-17 0.621410197839125
+
+# iteration 96
+# refinement level 2 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 2 3 0 34 36 36 1.33333333333333 -0.0555555555555556 -5.55111512312578e-17 -2.77555756156289e-17 0.616824486578861
+96 0 2 3 0 36 36 36 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 -2.77555756156289e-17 0.61547287921812
+96 0 2 3 0 38 36 36 1.33333333333333 0.0555555555555555 -5.55111512312578e-17 -2.77555756156289e-17 0.616824486578861
+96 0 2 3 0 40 36 36 1.33333333333333 0.111111111111111 -5.55111512312578e-17 -2.77555756156289e-17 0.621410197839125
+96 0 2 3 0 42 36 36 1.33333333333333 0.166666666666667 -5.55111512312578e-17 -2.77555756156289e-17 0.63002634676597
+96 0 2 3 0 44 36 36 1.33333333333333 0.222222222222222 -5.55111512312578e-17 -2.77555756156289e-17 0.641345710414296
+96 0 2 3 0 46 36 36 1.33333333333333 0.277777777777778 -5.55111512312578e-17 -2.77555756156289e-17 0.654541556639422
+96 0 2 3 0 48 36 36 1.33333333333333 0.333333333333333 -5.55111512312578e-17 -2.77555756156289e-17 0.668908746807157
+96 0 2 3 0 50 36 36 1.33333333333333 0.388888888888889 -5.55111512312578e-17 -2.77555756156289e-17 0.683302448238139
+
+
+# iteration 96
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 3 0 0 29 36 36 1.33333333333333 -0.194444444444445 -5.55111512312578e-17 0 0.63539979750899
+96 0 3 0 0 30 36 36 1.33333333333333 -0.166666666666667 -5.55111512312578e-17 0 0.630026346765969
+96 0 3 0 0 31 36 36 1.33333333333333 -0.138888888888889 -5.55111512312578e-17 0 0.625297419028293
+96 0 3 0 0 32 36 36 1.33333333333333 -0.111111111111111 -5.55111512312578e-17 0 0.621410197839124
+96 0 3 0 0 33 36 36 1.33333333333333 -0.0833333333333334 -5.55111512312578e-17 0 0.618663308361111
+96 0 3 0 0 34 36 36 1.33333333333333 -0.0555555555555556 -5.55111512312578e-17 0 0.616824486578861
+96 0 3 0 0 35 36 36 1.33333333333333 -0.0277777777777778 -5.55111512312578e-17 0 0.615777600484678
+96 0 3 0 0 36 36 36 1.33333333333333 0 -5.55111512312578e-17 0 0.61547287921812
+96 0 3 0 0 37 36 36 1.33333333333333 0.0277777777777778 -5.55111512312578e-17 0 0.615777600484678
+96 0 3 0 0 38 36 36 1.33333333333333 0.0555555555555556 -5.55111512312578e-17 0 0.616824486578861
+
+# iteration 96
+# refinement level 3 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 3 1 0 35 36 36 1.33333333333333 -0.0277777777777778 -5.55111512312578e-17 0 0.615777600484678
+96 0 3 1 0 36 36 36 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 0 0.61547287921812
+96 0 3 1 0 37 36 36 1.33333333333333 0.0277777777777778 -5.55111512312578e-17 0 0.615777600484678
+96 0 3 1 0 38 36 36 1.33333333333333 0.0555555555555555 -5.55111512312578e-17 0 0.616824486578861
+96 0 3 1 0 39 36 36 1.33333333333333 0.0833333333333333 -5.55111512312578e-17 0 0.618663308361111
+96 0 3 1 0 40 36 36 1.33333333333333 0.111111111111111 -5.55111512312578e-17 0 0.621410197839125
+96 0 3 1 0 41 36 36 1.33333333333333 0.138888888888889 -5.55111512312578e-17 0 0.625297419028293
+96 0 3 1 0 42 36 36 1.33333333333333 0.166666666666667 -5.55111512312578e-17 0 0.63002634676597
+96 0 3 1 0 43 36 36 1.33333333333333 0.194444444444444 -5.55111512312578e-17 0 0.63539979750899
+
+# iteration 96
+# refinement level 3 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 3 2 0 29 36 36 1.33333333333333 -0.194444444444445 -5.55111512312578e-17 -1.38777878078145e-17 0.63539979750899
+96 0 3 2 0 30 36 36 1.33333333333333 -0.166666666666667 -5.55111512312578e-17 -1.38777878078145e-17 0.630026346765969
+96 0 3 2 0 31 36 36 1.33333333333333 -0.138888888888889 -5.55111512312578e-17 -1.38777878078145e-17 0.625297419028293
+96 0 3 2 0 32 36 36 1.33333333333333 -0.111111111111111 -5.55111512312578e-17 -1.38777878078145e-17 0.621410197839124
+96 0 3 2 0 33 36 36 1.33333333333333 -0.0833333333333334 -5.55111512312578e-17 -1.38777878078145e-17 0.618663308361111
+96 0 3 2 0 34 36 36 1.33333333333333 -0.0555555555555556 -5.55111512312578e-17 -1.38777878078145e-17 0.616824486578861
+96 0 3 2 0 35 36 36 1.33333333333333 -0.0277777777777778 -5.55111512312578e-17 -1.38777878078145e-17 0.615777600484678
+96 0 3 2 0 36 36 36 1.33333333333333 0 -5.55111512312578e-17 -1.38777878078145e-17 0.61547287921812
+96 0 3 2 0 37 36 36 1.33333333333333 0.0277777777777778 -5.55111512312578e-17 -1.38777878078145e-17 0.615777600484678
+96 0 3 2 0 38 36 36 1.33333333333333 0.0555555555555556 -5.55111512312578e-17 -1.38777878078145e-17 0.616824486578861
+
+# iteration 96
+# refinement level 3 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 3 3 0 35 36 36 1.33333333333333 -0.0277777777777778 -5.55111512312578e-17 -1.38777878078145e-17 0.615777600484678
+96 0 3 3 0 36 36 36 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 -1.38777878078145e-17 0.61547287921812
+96 0 3 3 0 37 36 36 1.33333333333333 0.0277777777777778 -5.55111512312578e-17 -1.38777878078145e-17 0.615777600484678
+96 0 3 3 0 38 36 36 1.33333333333333 0.0555555555555555 -5.55111512312578e-17 -1.38777878078145e-17 0.616824486578861
+96 0 3 3 0 39 36 36 1.33333333333333 0.0833333333333333 -5.55111512312578e-17 -1.38777878078145e-17 0.618663308361111
+96 0 3 3 0 40 36 36 1.33333333333333 0.111111111111111 -5.55111512312578e-17 -1.38777878078145e-17 0.621410197839125
+96 0 3 3 0 41 36 36 1.33333333333333 0.138888888888889 -5.55111512312578e-17 -1.38777878078145e-17 0.625297419028293
+96 0 3 3 0 42 36 36 1.33333333333333 0.166666666666667 -5.55111512312578e-17 -1.38777878078145e-17 0.63002634676597
+96 0 3 3 0 43 36 36 1.33333333333333 0.194444444444444 -5.55111512312578e-17 -1.38777878078145e-17 0.63539979750899
+
+
+# iteration 128
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 0 0 0 0 40 40 1.77777777777778 -1 0.111111111111111 0.111111111111111 0.873700996777018
+128 0 0 0 0 8 40 40 1.77777777777778 -0.777777777777778 0.111111111111111 0.111111111111111 0.859471717622308
+128 0 0 0 0 16 40 40 1.77777777777778 -0.555555555555556 0.111111111111111 0.111111111111111 0.863004424640887
+128 0 0 0 0 24 40 40 1.77777777777778 -0.333333333333333 0.111111111111111 0.111111111111111 0.883486952153519
+128 0 0 0 0 32 40 40 1.77777777777778 -0.111111111111111 0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 0 0 40 40 40 1.77777777777778 0.111111111111111 0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 0 0 48 40 40 1.77777777777778 0.333333333333333 0.111111111111111 0.111111111111111 0.883486952153519
+
+# iteration 128
+# refinement level 0 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 0 1 0 24 40 40 1.77777777777778 -0.333333333333333 0.111111111111111 0.111111111111111 0.883486952153519
+128 0 0 1 0 32 40 40 1.77777777777778 -0.111111111111111 0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 1 0 40 40 40 1.77777777777778 0.111111111111111 0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 1 0 48 40 40 1.77777777777778 0.333333333333333 0.111111111111111 0.111111111111111 0.883486952153519
+128 0 0 1 0 56 40 40 1.77777777777778 0.555555555555556 0.111111111111111 0.111111111111111 0.863004424640887
+128 0 0 1 0 64 40 40 1.77777777777778 0.777777777777778 0.111111111111111 0.111111111111111 0.859471717622308
+128 0 0 1 0 72 40 40 1.77777777777778 1 0.111111111111111 0.111111111111111 0.873700996777018
+
+# iteration 128
+# refinement level 0 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 0 2 0 0 40 40 1.77777777777778 -1 0.111111111111111 0.111111111111111 0.873700996777018
+128 0 0 2 0 8 40 40 1.77777777777778 -0.777777777777778 0.111111111111111 0.111111111111111 0.859471717622308
+128 0 0 2 0 16 40 40 1.77777777777778 -0.555555555555556 0.111111111111111 0.111111111111111 0.863004424640887
+128 0 0 2 0 24 40 40 1.77777777777778 -0.333333333333333 0.111111111111111 0.111111111111111 0.883486952153519
+128 0 0 2 0 32 40 40 1.77777777777778 -0.111111111111111 0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 2 0 40 40 40 1.77777777777778 0.111111111111111 0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 2 0 48 40 40 1.77777777777778 0.333333333333333 0.111111111111111 0.111111111111111 0.883486952153519
+
+# iteration 128
+# refinement level 0 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 0 3 0 24 40 40 1.77777777777778 -0.333333333333333 0.111111111111111 0.111111111111111 0.883486952153519
+128 0 0 3 0 32 40 40 1.77777777777778 -0.111111111111111 0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 3 0 40 40 40 1.77777777777778 0.111111111111111 0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 3 0 48 40 40 1.77777777777778 0.333333333333333 0.111111111111111 0.111111111111111 0.883486952153519
+128 0 0 3 0 56 40 40 1.77777777777778 0.555555555555556 0.111111111111111 0.111111111111111 0.863004424640887
+128 0 0 3 0 64 40 40 1.77777777777778 0.777777777777778 0.111111111111111 0.111111111111111 0.859471717622308
+128 0 0 3 0 72 40 40 1.77777777777778 1 0.111111111111111 0.111111111111111 0.873700996777018
+
+
+# iteration 128
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 1 0 0 8 36 36 1.77777777777778 -0.777777777777778 -5.55111512312578e-17 -9.86623976961809e-17 0.862653663591007
+128 0 1 0 0 12 36 36 1.77777777777778 -0.666666666666667 -5.55111512312578e-17 -9.86623976961809e-17 0.862560028606905
+128 0 1 0 0 16 36 36 1.77777777777778 -0.555555555555556 -5.55111512312578e-17 -9.86623976961809e-17 0.866965759785718
+128 0 1 0 0 20 36 36 1.77777777777778 -0.444444444444444 -5.55111512312578e-17 -9.86623976961809e-17 0.876167092595071
+128 0 1 0 0 24 36 36 1.77777777777778 -0.333333333333333 -5.55111512312578e-17 -9.86623976961809e-17 0.889185421864397
+128 0 1 0 0 28 36 36 1.77777777777778 -0.222222222222222 -5.55111512312578e-17 -9.86623976961809e-17 0.907998184681559
+128 0 1 0 0 32 36 36 1.77777777777778 -0.111111111111111 -5.55111512312578e-17 -9.86623976961809e-17 0.924033489738888
+128 0 1 0 0 36 36 36 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 -9.86623976961809e-17 0.928389498223199
+128 0 1 0 0 40 36 36 1.77777777777778 0.111111111111111 -5.55111512312578e-17 -9.86623976961809e-17 0.924033489738888
+128 0 1 0 0 44 36 36 1.77777777777778 0.222222222222222 -5.55111512312578e-17 -9.86623976961809e-17 0.90799818468156
+
+# iteration 128
+# refinement level 1 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 1 1 0 32 36 36 1.77777777777778 -0.111111111111111 -5.55111512312578e-17 -9.86623976961809e-17 0.924033489738888
+128 0 1 1 0 36 36 36 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -9.86623976961809e-17 0.928389498223199
+128 0 1 1 0 40 36 36 1.77777777777778 0.111111111111111 -5.55111512312578e-17 -9.86623976961809e-17 0.924033489738888
+128 0 1 1 0 44 36 36 1.77777777777778 0.222222222222222 -5.55111512312578e-17 -9.86623976961809e-17 0.90799818468156
+128 0 1 1 0 48 36 36 1.77777777777778 0.333333333333333 -5.55111512312578e-17 -9.86623976961809e-17 0.889185421864397
+128 0 1 1 0 52 36 36 1.77777777777778 0.444444444444444 -5.55111512312578e-17 -9.86623976961809e-17 0.876167092595071
+128 0 1 1 0 56 36 36 1.77777777777778 0.555555555555555 -5.55111512312578e-17 -9.86623976961809e-17 0.866965759785718
+128 0 1 1 0 60 36 36 1.77777777777778 0.666666666666667 -5.55111512312578e-17 -9.86623976961809e-17 0.862560028606905
+128 0 1 1 0 64 36 36 1.77777777777778 0.777777777777778 -5.55111512312578e-17 -9.86623976961809e-17 0.862653663591007
+
+# iteration 128
+# refinement level 1 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 1 2 0 8 36 36 1.77777777777778 -0.777777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.862653663591007
+128 0 1 2 0 12 36 36 1.77777777777778 -0.666666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.862560028606905
+128 0 1 2 0 16 36 36 1.77777777777778 -0.555555555555556 -5.55111512312578e-17 -5.55111512312578e-17 0.866965759785718
+128 0 1 2 0 20 36 36 1.77777777777778 -0.444444444444444 -5.55111512312578e-17 -5.55111512312578e-17 0.876167092595071
+128 0 1 2 0 24 36 36 1.77777777777778 -0.333333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.889185421864397
+128 0 1 2 0 28 36 36 1.77777777777778 -0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.907998184681559
+128 0 1 2 0 32 36 36 1.77777777777778 -0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.924033489738888
+128 0 1 2 0 36 36 36 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.928389498223199
+128 0 1 2 0 40 36 36 1.77777777777778 0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.924033489738888
+128 0 1 2 0 44 36 36 1.77777777777778 0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.90799818468156
+
+# iteration 128
+# refinement level 1 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 1 3 0 32 36 36 1.77777777777778 -0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.924033489738888
+128 0 1 3 0 36 36 36 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.928389498223199
+128 0 1 3 0 40 36 36 1.77777777777778 0.111111111111111 -5.55111512312578e-17 -5.55111512312578e-17 0.924033489738888
+128 0 1 3 0 44 36 36 1.77777777777778 0.222222222222222 -5.55111512312578e-17 -5.55111512312578e-17 0.90799818468156
+128 0 1 3 0 48 36 36 1.77777777777778 0.333333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.889185421864397
+128 0 1 3 0 52 36 36 1.77777777777778 0.444444444444444 -5.55111512312578e-17 -5.55111512312578e-17 0.876167092595071
+128 0 1 3 0 56 36 36 1.77777777777778 0.555555555555555 -5.55111512312578e-17 -5.55111512312578e-17 0.866965759785718
+128 0 1 3 0 60 36 36 1.77777777777778 0.666666666666667 -5.55111512312578e-17 -5.55111512312578e-17 0.862560028606905
+128 0 1 3 0 64 36 36 1.77777777777778 0.777777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.862653663591007
+
+
+# iteration 128
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 2 0 0 22 36 36 1.77777777777778 -0.388888888888889 -5.55111512312578e-17 2.46655994240452e-17 0.882075542854246
+128 0 2 0 0 24 36 36 1.77777777777778 -0.333333333333333 -5.55111512312578e-17 2.46655994240452e-17 0.889185421864397
+128 0 2 0 0 26 36 36 1.77777777777778 -0.277777777777778 -5.55111512312578e-17 2.46655994240452e-17 0.898403242286228
+128 0 2 0 0 28 36 36 1.77777777777778 -0.222222222222222 -5.55111512312578e-17 2.46655994240452e-17 0.907998184681559
+128 0 2 0 0 30 36 36 1.77777777777778 -0.166666666666667 -5.55111512312578e-17 2.46655994240452e-17 0.916919384356027
+128 0 2 0 0 32 36 36 1.77777777777778 -0.111111111111111 -5.55111512312578e-17 2.46655994240452e-17 0.924033489738888
+128 0 2 0 0 34 36 36 1.77777777777778 -0.0555555555555555 -5.55111512312578e-17 2.46655994240452e-17 0.927485951077396
+128 0 2 0 0 36 36 36 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 2.46655994240452e-17 0.928389498223199
+128 0 2 0 0 38 36 36 1.77777777777778 0.0555555555555556 -5.55111512312578e-17 2.46655994240452e-17 0.927485951077396
+128 0 2 0 0 40 36 36 1.77777777777778 0.111111111111111 -5.55111512312578e-17 2.46655994240452e-17 0.924033489738888
+
+# iteration 128
+# refinement level 2 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 2 1 0 34 36 36 1.77777777777778 -0.0555555555555556 -5.55111512312578e-17 2.46655994240452e-17 0.927485951077396
+128 0 2 1 0 36 36 36 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 2.46655994240452e-17 0.928389498223199
+128 0 2 1 0 38 36 36 1.77777777777778 0.0555555555555555 -5.55111512312578e-17 2.46655994240452e-17 0.927485951077396
+128 0 2 1 0 40 36 36 1.77777777777778 0.111111111111111 -5.55111512312578e-17 2.46655994240452e-17 0.924033489738888
+128 0 2 1 0 42 36 36 1.77777777777778 0.166666666666667 -5.55111512312578e-17 2.46655994240452e-17 0.916919384356027
+128 0 2 1 0 44 36 36 1.77777777777778 0.222222222222222 -5.55111512312578e-17 2.46655994240452e-17 0.90799818468156
+128 0 2 1 0 46 36 36 1.77777777777778 0.277777777777778 -5.55111512312578e-17 2.46655994240452e-17 0.898403242286228
+128 0 2 1 0 48 36 36 1.77777777777778 0.333333333333333 -5.55111512312578e-17 2.46655994240452e-17 0.889185421864397
+128 0 2 1 0 50 36 36 1.77777777777778 0.388888888888889 -5.55111512312578e-17 2.46655994240452e-17 0.882075542854246
+
+# iteration 128
+# refinement level 2 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 2 2 0 22 36 36 1.77777777777778 -0.388888888888889 -5.55111512312578e-17 -2.77555756156289e-17 0.882075542854246
+128 0 2 2 0 24 36 36 1.77777777777778 -0.333333333333333 -5.55111512312578e-17 -2.77555756156289e-17 0.889185421864397
+128 0 2 2 0 26 36 36 1.77777777777778 -0.277777777777778 -5.55111512312578e-17 -2.77555756156289e-17 0.898403242286228
+128 0 2 2 0 28 36 36 1.77777777777778 -0.222222222222222 -5.55111512312578e-17 -2.77555756156289e-17 0.907998184681559
+128 0 2 2 0 30 36 36 1.77777777777778 -0.166666666666667 -5.55111512312578e-17 -2.77555756156289e-17 0.916919384356027
+128 0 2 2 0 32 36 36 1.77777777777778 -0.111111111111111 -5.55111512312578e-17 -2.77555756156289e-17 0.924033489738888
+128 0 2 2 0 34 36 36 1.77777777777778 -0.0555555555555555 -5.55111512312578e-17 -2.77555756156289e-17 0.927485951077396
+128 0 2 2 0 36 36 36 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 -2.77555756156289e-17 0.928389498223199
+128 0 2 2 0 38 36 36 1.77777777777778 0.0555555555555556 -5.55111512312578e-17 -2.77555756156289e-17 0.927485951077396
+128 0 2 2 0 40 36 36 1.77777777777778 0.111111111111111 -5.55111512312578e-17 -2.77555756156289e-17 0.924033489738888
+
+# iteration 128
+# refinement level 2 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 2 3 0 34 36 36 1.77777777777778 -0.0555555555555556 -5.55111512312578e-17 -2.77555756156289e-17 0.927485951077396
+128 0 2 3 0 36 36 36 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 -2.77555756156289e-17 0.928389498223199
+128 0 2 3 0 38 36 36 1.77777777777778 0.0555555555555555 -5.55111512312578e-17 -2.77555756156289e-17 0.927485951077396
+128 0 2 3 0 40 36 36 1.77777777777778 0.111111111111111 -5.55111512312578e-17 -2.77555756156289e-17 0.924033489738888
+128 0 2 3 0 42 36 36 1.77777777777778 0.166666666666667 -5.55111512312578e-17 -2.77555756156289e-17 0.916919384356027
+128 0 2 3 0 44 36 36 1.77777777777778 0.222222222222222 -5.55111512312578e-17 -2.77555756156289e-17 0.90799818468156
+128 0 2 3 0 46 36 36 1.77777777777778 0.277777777777778 -5.55111512312578e-17 -2.77555756156289e-17 0.898403242286228
+128 0 2 3 0 48 36 36 1.77777777777778 0.333333333333333 -5.55111512312578e-17 -2.77555756156289e-17 0.889185421864397
+128 0 2 3 0 50 36 36 1.77777777777778 0.388888888888889 -5.55111512312578e-17 -2.77555756156289e-17 0.882075542854246
+
+
+# iteration 128
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 3 0 0 29 36 36 1.77777777777778 -0.194444444444445 -5.55111512312578e-17 0 0.912613836832073
+128 0 3 0 0 30 36 36 1.77777777777778 -0.166666666666667 -5.55111512312578e-17 0 0.916919384356027
+128 0 3 0 0 31 36 36 1.77777777777778 -0.138888888888889 -5.55111512312578e-17 0 0.920818233193455
+128 0 3 0 0 32 36 36 1.77777777777778 -0.111111111111111 -5.55111512312578e-17 0 0.924033489738888
+128 0 3 0 0 33 36 36 1.77777777777778 -0.0833333333333334 -5.55111512312578e-17 0 0.926147880297958
+128 0 3 0 0 34 36 36 1.77777777777778 -0.0555555555555556 -5.55111512312578e-17 0 0.927485951077396
+128 0 3 0 0 35 36 36 1.77777777777778 -0.0277777777777778 -5.55111512312578e-17 0 0.928209975180567
+128 0 3 0 0 36 36 36 1.77777777777778 0 -5.55111512312578e-17 0 0.928389498223199
+128 0 3 0 0 37 36 36 1.77777777777778 0.0277777777777778 -5.55111512312578e-17 0 0.928209975180567
+128 0 3 0 0 38 36 36 1.77777777777778 0.0555555555555556 -5.55111512312578e-17 0 0.927485951077396
+
+# iteration 128
+# refinement level 3 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 3 1 0 35 36 36 1.77777777777778 -0.0277777777777778 -5.55111512312578e-17 0 0.928209975180567
+128 0 3 1 0 36 36 36 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 0 0.928389498223199
+128 0 3 1 0 37 36 36 1.77777777777778 0.0277777777777778 -5.55111512312578e-17 0 0.928209975180567
+128 0 3 1 0 38 36 36 1.77777777777778 0.0555555555555555 -5.55111512312578e-17 0 0.927485951077396
+128 0 3 1 0 39 36 36 1.77777777777778 0.0833333333333333 -5.55111512312578e-17 0 0.926147880297958
+128 0 3 1 0 40 36 36 1.77777777777778 0.111111111111111 -5.55111512312578e-17 0 0.924033489738888
+128 0 3 1 0 41 36 36 1.77777777777778 0.138888888888889 -5.55111512312578e-17 0 0.920818233193455
+128 0 3 1 0 42 36 36 1.77777777777778 0.166666666666667 -5.55111512312578e-17 0 0.916919384356027
+128 0 3 1 0 43 36 36 1.77777777777778 0.194444444444444 -5.55111512312578e-17 0 0.912613836832073
+
+# iteration 128
+# refinement level 3 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 3 2 0 29 36 36 1.77777777777778 -0.194444444444445 -5.55111512312578e-17 -1.38777878078145e-17 0.912613836832073
+128 0 3 2 0 30 36 36 1.77777777777778 -0.166666666666667 -5.55111512312578e-17 -1.38777878078145e-17 0.916919384356027
+128 0 3 2 0 31 36 36 1.77777777777778 -0.138888888888889 -5.55111512312578e-17 -1.38777878078145e-17 0.920818233193455
+128 0 3 2 0 32 36 36 1.77777777777778 -0.111111111111111 -5.55111512312578e-17 -1.38777878078145e-17 0.924033489738888
+128 0 3 2 0 33 36 36 1.77777777777778 -0.0833333333333334 -5.55111512312578e-17 -1.38777878078145e-17 0.926147880297958
+128 0 3 2 0 34 36 36 1.77777777777778 -0.0555555555555556 -5.55111512312578e-17 -1.38777878078145e-17 0.927485951077396
+128 0 3 2 0 35 36 36 1.77777777777778 -0.0277777777777778 -5.55111512312578e-17 -1.38777878078145e-17 0.928209975180567
+128 0 3 2 0 36 36 36 1.77777777777778 0 -5.55111512312578e-17 -1.38777878078145e-17 0.928389498223199
+128 0 3 2 0 37 36 36 1.77777777777778 0.0277777777777778 -5.55111512312578e-17 -1.38777878078145e-17 0.928209975180567
+128 0 3 2 0 38 36 36 1.77777777777778 0.0555555555555556 -5.55111512312578e-17 -1.38777878078145e-17 0.927485951077396
+
+# iteration 128
+# refinement level 3 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 3 3 0 35 36 36 1.77777777777778 -0.0277777777777778 -5.55111512312578e-17 -1.38777878078145e-17 0.928209975180567
+128 0 3 3 0 36 36 36 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 -1.38777878078145e-17 0.928389498223199
+128 0 3 3 0 37 36 36 1.77777777777778 0.0277777777777778 -5.55111512312578e-17 -1.38777878078145e-17 0.928209975180567
+128 0 3 3 0 38 36 36 1.77777777777778 0.0555555555555555 -5.55111512312578e-17 -1.38777878078145e-17 0.927485951077396
+128 0 3 3 0 39 36 36 1.77777777777778 0.0833333333333333 -5.55111512312578e-17 -1.38777878078145e-17 0.926147880297958
+128 0 3 3 0 40 36 36 1.77777777777778 0.111111111111111 -5.55111512312578e-17 -1.38777878078145e-17 0.924033489738888
+128 0 3 3 0 41 36 36 1.77777777777778 0.138888888888889 -5.55111512312578e-17 -1.38777878078145e-17 0.920818233193455
+128 0 3 3 0 42 36 36 1.77777777777778 0.166666666666667 -5.55111512312578e-17 -1.38777878078145e-17 0.916919384356027
+128 0 3 3 0 43 36 36 1.77777777777778 0.194444444444444 -5.55111512312578e-17 -1.38777878078145e-17 0.912613836832073
+
+
diff --git a/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi.y.asc b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi.y.asc
new file mode 100644
index 000000000..acc2fbf34
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi.y.asc
@@ -0,0 +1,866 @@
+# WAVETOY::phi y (phi)
+#
+# iteration 64
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 0 0 0 40 0 40 0.888888888888889 0.111111111111111 -1 0.111111111111111 0.873700996777018
+64 0 0 0 0 40 8 40 0.888888888888889 0.111111111111111 -0.777777777777778 0.111111111111111 0.807676282684182
+64 0 0 0 0 40 16 40 0.888888888888889 0.111111111111111 -0.555555555555556 0.111111111111111 0.756699260944861
+64 0 0 0 0 40 24 40 0.888888888888889 0.111111111111111 -0.333333333333333 0.111111111111111 0.730294733882952
+64 0 0 0 0 40 32 40 0.888888888888889 0.111111111111111 -0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 0 0 40 40 40 0.888888888888889 0.111111111111111 0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 0 0 40 48 40 0.888888888888889 0.111111111111111 0.333333333333333 0.111111111111111 0.730294733882952
+64 0 0 0 0 40 56 40 0.888888888888889 0.111111111111111 0.555555555555556 0.111111111111111 0.756699260944861
+64 0 0 0 0 40 64 40 0.888888888888889 0.111111111111111 0.777777777777778 0.111111111111111 0.807676282684182
+64 0 0 0 0 40 72 40 0.888888888888889 0.111111111111111 1 0.111111111111111 0.873700996777018
+
+# iteration 64
+# refinement level 0 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 0 1 0 40 0 40 0.888888888888889 0.111111111111111 -1 0.111111111111111 0.873700996777018
+64 0 0 1 0 40 8 40 0.888888888888889 0.111111111111111 -0.777777777777778 0.111111111111111 0.807676282684182
+64 0 0 1 0 40 16 40 0.888888888888889 0.111111111111111 -0.555555555555556 0.111111111111111 0.756699260944861
+64 0 0 1 0 40 24 40 0.888888888888889 0.111111111111111 -0.333333333333333 0.111111111111111 0.730294733882952
+64 0 0 1 0 40 32 40 0.888888888888889 0.111111111111111 -0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 1 0 40 40 40 0.888888888888889 0.111111111111111 0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 1 0 40 48 40 0.888888888888889 0.111111111111111 0.333333333333333 0.111111111111111 0.730294733882952
+64 0 0 1 0 40 56 40 0.888888888888889 0.111111111111111 0.555555555555556 0.111111111111111 0.756699260944861
+64 0 0 1 0 40 64 40 0.888888888888889 0.111111111111111 0.777777777777778 0.111111111111111 0.807676282684182
+64 0 0 1 0 40 72 40 0.888888888888889 0.111111111111111 1 0.111111111111111 0.873700996777018
+
+# iteration 64
+# refinement level 0 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 0 2 0 40 0 40 0.888888888888889 0.111111111111111 -1 0.111111111111111 0.873700996777018
+64 0 0 2 0 40 8 40 0.888888888888889 0.111111111111111 -0.777777777777778 0.111111111111111 0.807676282684182
+64 0 0 2 0 40 16 40 0.888888888888889 0.111111111111111 -0.555555555555556 0.111111111111111 0.756699260944861
+64 0 0 2 0 40 24 40 0.888888888888889 0.111111111111111 -0.333333333333333 0.111111111111111 0.730294733882952
+64 0 0 2 0 40 32 40 0.888888888888889 0.111111111111111 -0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 2 0 40 40 40 0.888888888888889 0.111111111111111 0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 2 0 40 48 40 0.888888888888889 0.111111111111111 0.333333333333333 0.111111111111111 0.730294733882952
+64 0 0 2 0 40 56 40 0.888888888888889 0.111111111111111 0.555555555555556 0.111111111111111 0.756699260944861
+64 0 0 2 0 40 64 40 0.888888888888889 0.111111111111111 0.777777777777778 0.111111111111111 0.807676282684182
+64 0 0 2 0 40 72 40 0.888888888888889 0.111111111111111 1 0.111111111111111 0.873700996777018
+
+# iteration 64
+# refinement level 0 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 0 3 0 40 0 40 0.888888888888889 0.111111111111111 -1 0.111111111111111 0.873700996777018
+64 0 0 3 0 40 8 40 0.888888888888889 0.111111111111111 -0.777777777777778 0.111111111111111 0.807676282684182
+64 0 0 3 0 40 16 40 0.888888888888889 0.111111111111111 -0.555555555555556 0.111111111111111 0.756699260944861
+64 0 0 3 0 40 24 40 0.888888888888889 0.111111111111111 -0.333333333333333 0.111111111111111 0.730294733882952
+64 0 0 3 0 40 32 40 0.888888888888889 0.111111111111111 -0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 3 0 40 40 40 0.888888888888889 0.111111111111111 0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 3 0 40 48 40 0.888888888888889 0.111111111111111 0.333333333333333 0.111111111111111 0.730294733882952
+64 0 0 3 0 40 56 40 0.888888888888889 0.111111111111111 0.555555555555556 0.111111111111111 0.756699260944861
+64 0 0 3 0 40 64 40 0.888888888888889 0.111111111111111 0.777777777777778 0.111111111111111 0.807676282684182
+64 0 0 3 0 40 72 40 0.888888888888889 0.111111111111111 1 0.111111111111111 0.873700996777018
+
+
+# iteration 64
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 1 0 0 36 8 36 0.888888888888889 -9.86623976961809e-17 -0.777777777777778 -9.86623976961809e-17 0.808379332677938
+64 0 1 0 0 36 12 36 0.888888888888889 -9.86623976961809e-17 -0.666666666666667 -9.86623976961809e-17 0.779665123251562
+64 0 1 0 0 36 16 36 0.888888888888889 -9.86623976961809e-17 -0.555555555555556 -9.86623976961809e-17 0.756097245006156
+64 0 1 0 0 36 20 36 0.888888888888889 -9.86623976961809e-17 -0.444444444444444 -9.86623976961809e-17 0.739694852518638
+64 0 1 0 0 36 24 36 0.888888888888889 -9.86623976961809e-17 -0.333333333333333 -9.86623976961809e-17 0.729218296316213
+64 0 1 0 0 36 28 36 0.888888888888889 -9.86623976961809e-17 -0.222222222222222 -9.86623976961809e-17 0.725100663327575
+64 0 1 0 0 36 32 36 0.888888888888889 -9.86623976961809e-17 -0.111111111111111 -9.86623976961809e-17 0.724342898925177
+64 0 1 0 0 36 36 36 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 -9.86623976961809e-17 0.723733474251298
+64 0 1 0 0 36 40 36 0.888888888888889 -9.86623976961809e-17 0.111111111111111 -9.86623976961809e-17 0.724342898925177
+64 0 1 0 0 36 44 36 0.888888888888889 -9.86623976961809e-17 0.222222222222222 -9.86623976961809e-17 0.725100663327574
+64 0 1 0 0 36 48 36 0.888888888888889 -9.86623976961809e-17 0.333333333333333 -9.86623976961809e-17 0.729218296316213
+64 0 1 0 0 36 52 36 0.888888888888889 -9.86623976961809e-17 0.444444444444444 -9.86623976961809e-17 0.739694852518638
+64 0 1 0 0 36 56 36 0.888888888888889 -9.86623976961809e-17 0.555555555555555 -9.86623976961809e-17 0.756097245006155
+64 0 1 0 0 36 60 36 0.888888888888889 -9.86623976961809e-17 0.666666666666667 -9.86623976961809e-17 0.779665123251561
+64 0 1 0 0 36 64 36 0.888888888888889 -9.86623976961809e-17 0.777777777777778 -9.86623976961809e-17 0.808379332677938
+
+# iteration 64
+# refinement level 1 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 1 1 0 36 8 36 0.888888888888889 -5.55111512312578e-17 -0.777777777777778 -9.86623976961809e-17 0.808379332677938
+64 0 1 1 0 36 12 36 0.888888888888889 -5.55111512312578e-17 -0.666666666666667 -9.86623976961809e-17 0.779665123251562
+64 0 1 1 0 36 16 36 0.888888888888889 -5.55111512312578e-17 -0.555555555555556 -9.86623976961809e-17 0.756097245006156
+64 0 1 1 0 36 20 36 0.888888888888889 -5.55111512312578e-17 -0.444444444444444 -9.86623976961809e-17 0.739694852518638
+64 0 1 1 0 36 24 36 0.888888888888889 -5.55111512312578e-17 -0.333333333333333 -9.86623976961809e-17 0.729218296316213
+64 0 1 1 0 36 28 36 0.888888888888889 -5.55111512312578e-17 -0.222222222222222 -9.86623976961809e-17 0.725100663327575
+64 0 1 1 0 36 32 36 0.888888888888889 -5.55111512312578e-17 -0.111111111111111 -9.86623976961809e-17 0.724342898925177
+64 0 1 1 0 36 36 36 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -9.86623976961809e-17 0.723733474251298
+64 0 1 1 0 36 40 36 0.888888888888889 -5.55111512312578e-17 0.111111111111111 -9.86623976961809e-17 0.724342898925177
+64 0 1 1 0 36 44 36 0.888888888888889 -5.55111512312578e-17 0.222222222222222 -9.86623976961809e-17 0.725100663327574
+64 0 1 1 0 36 48 36 0.888888888888889 -5.55111512312578e-17 0.333333333333333 -9.86623976961809e-17 0.729218296316213
+64 0 1 1 0 36 52 36 0.888888888888889 -5.55111512312578e-17 0.444444444444444 -9.86623976961809e-17 0.739694852518638
+64 0 1 1 0 36 56 36 0.888888888888889 -5.55111512312578e-17 0.555555555555555 -9.86623976961809e-17 0.756097245006155
+64 0 1 1 0 36 60 36 0.888888888888889 -5.55111512312578e-17 0.666666666666667 -9.86623976961809e-17 0.779665123251561
+64 0 1 1 0 36 64 36 0.888888888888889 -5.55111512312578e-17 0.777777777777778 -9.86623976961809e-17 0.808379332677938
+
+# iteration 64
+# refinement level 1 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 1 2 0 36 8 36 0.888888888888889 -9.86623976961809e-17 -0.777777777777778 -5.55111512312578e-17 0.808379332677938
+64 0 1 2 0 36 12 36 0.888888888888889 -9.86623976961809e-17 -0.666666666666667 -5.55111512312578e-17 0.779665123251562
+64 0 1 2 0 36 16 36 0.888888888888889 -9.86623976961809e-17 -0.555555555555556 -5.55111512312578e-17 0.756097245006156
+64 0 1 2 0 36 20 36 0.888888888888889 -9.86623976961809e-17 -0.444444444444444 -5.55111512312578e-17 0.739694852518638
+64 0 1 2 0 36 24 36 0.888888888888889 -9.86623976961809e-17 -0.333333333333333 -5.55111512312578e-17 0.729218296316213
+64 0 1 2 0 36 28 36 0.888888888888889 -9.86623976961809e-17 -0.222222222222222 -5.55111512312578e-17 0.725100663327575
+64 0 1 2 0 36 32 36 0.888888888888889 -9.86623976961809e-17 -0.111111111111111 -5.55111512312578e-17 0.724342898925177
+64 0 1 2 0 36 36 36 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.723733474251298
+64 0 1 2 0 36 40 36 0.888888888888889 -9.86623976961809e-17 0.111111111111111 -5.55111512312578e-17 0.724342898925177
+64 0 1 2 0 36 44 36 0.888888888888889 -9.86623976961809e-17 0.222222222222222 -5.55111512312578e-17 0.725100663327574
+64 0 1 2 0 36 48 36 0.888888888888889 -9.86623976961809e-17 0.333333333333333 -5.55111512312578e-17 0.729218296316213
+64 0 1 2 0 36 52 36 0.888888888888889 -9.86623976961809e-17 0.444444444444444 -5.55111512312578e-17 0.739694852518638
+64 0 1 2 0 36 56 36 0.888888888888889 -9.86623976961809e-17 0.555555555555555 -5.55111512312578e-17 0.756097245006155
+64 0 1 2 0 36 60 36 0.888888888888889 -9.86623976961809e-17 0.666666666666667 -5.55111512312578e-17 0.779665123251561
+64 0 1 2 0 36 64 36 0.888888888888889 -9.86623976961809e-17 0.777777777777778 -5.55111512312578e-17 0.808379332677938
+
+# iteration 64
+# refinement level 1 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 1 3 0 36 8 36 0.888888888888889 -5.55111512312578e-17 -0.777777777777778 -5.55111512312578e-17 0.808379332677938
+64 0 1 3 0 36 12 36 0.888888888888889 -5.55111512312578e-17 -0.666666666666667 -5.55111512312578e-17 0.779665123251562
+64 0 1 3 0 36 16 36 0.888888888888889 -5.55111512312578e-17 -0.555555555555556 -5.55111512312578e-17 0.756097245006156
+64 0 1 3 0 36 20 36 0.888888888888889 -5.55111512312578e-17 -0.444444444444444 -5.55111512312578e-17 0.739694852518638
+64 0 1 3 0 36 24 36 0.888888888888889 -5.55111512312578e-17 -0.333333333333333 -5.55111512312578e-17 0.729218296316213
+64 0 1 3 0 36 28 36 0.888888888888889 -5.55111512312578e-17 -0.222222222222222 -5.55111512312578e-17 0.725100663327575
+64 0 1 3 0 36 32 36 0.888888888888889 -5.55111512312578e-17 -0.111111111111111 -5.55111512312578e-17 0.724342898925177
+64 0 1 3 0 36 36 36 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.723733474251298
+64 0 1 3 0 36 40 36 0.888888888888889 -5.55111512312578e-17 0.111111111111111 -5.55111512312578e-17 0.724342898925177
+64 0 1 3 0 36 44 36 0.888888888888889 -5.55111512312578e-17 0.222222222222222 -5.55111512312578e-17 0.725100663327574
+64 0 1 3 0 36 48 36 0.888888888888889 -5.55111512312578e-17 0.333333333333333 -5.55111512312578e-17 0.729218296316213
+64 0 1 3 0 36 52 36 0.888888888888889 -5.55111512312578e-17 0.444444444444444 -5.55111512312578e-17 0.739694852518638
+64 0 1 3 0 36 56 36 0.888888888888889 -5.55111512312578e-17 0.555555555555555 -5.55111512312578e-17 0.756097245006155
+64 0 1 3 0 36 60 36 0.888888888888889 -5.55111512312578e-17 0.666666666666667 -5.55111512312578e-17 0.779665123251561
+64 0 1 3 0 36 64 36 0.888888888888889 -5.55111512312578e-17 0.777777777777778 -5.55111512312578e-17 0.808379332677938
+
+
+# iteration 64
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 2 0 0 36 22 36 0.888888888888889 2.46655994240452e-17 -0.388888888888889 2.46655994240452e-17 0.733688776948746
+64 0 2 0 0 36 24 36 0.888888888888889 2.46655994240452e-17 -0.333333333333333 2.46655994240452e-17 0.729218296316213
+64 0 2 0 0 36 26 36 0.888888888888889 2.46655994240452e-17 -0.277777777777778 2.46655994240452e-17 0.726552055334392
+64 0 2 0 0 36 28 36 0.888888888888889 2.46655994240452e-17 -0.222222222222222 2.46655994240452e-17 0.725100663327575
+64 0 2 0 0 36 30 36 0.888888888888889 2.46655994240452e-17 -0.166666666666667 2.46655994240452e-17 0.724502518106703
+64 0 2 0 0 36 32 36 0.888888888888889 2.46655994240452e-17 -0.111111111111111 2.46655994240452e-17 0.724342898925177
+64 0 2 0 0 36 34 36 0.888888888888889 2.46655994240452e-17 -0.0555555555555556 2.46655994240452e-17 0.72395273727097
+64 0 2 0 0 36 36 36 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 2.46655994240452e-17 0.723733474251298
+64 0 2 0 0 36 38 36 0.888888888888889 2.46655994240452e-17 0.0555555555555555 2.46655994240452e-17 0.72395273727097
+64 0 2 0 0 36 40 36 0.888888888888889 2.46655994240452e-17 0.111111111111111 2.46655994240452e-17 0.724342898925177
+64 0 2 0 0 36 42 36 0.888888888888889 2.46655994240452e-17 0.166666666666667 2.46655994240452e-17 0.724502518106703
+64 0 2 0 0 36 44 36 0.888888888888889 2.46655994240452e-17 0.222222222222222 2.46655994240452e-17 0.725100663327574
+64 0 2 0 0 36 46 36 0.888888888888889 2.46655994240452e-17 0.277777777777778 2.46655994240452e-17 0.726552055334392
+64 0 2 0 0 36 48 36 0.888888888888889 2.46655994240452e-17 0.333333333333333 2.46655994240452e-17 0.729218296316213
+64 0 2 0 0 36 50 36 0.888888888888889 2.46655994240452e-17 0.388888888888889 2.46655994240452e-17 0.733688776948745
+
+# iteration 64
+# refinement level 2 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 2 1 0 36 22 36 0.888888888888889 -2.77555756156289e-17 -0.388888888888889 2.46655994240452e-17 0.733688776948746
+64 0 2 1 0 36 24 36 0.888888888888889 -2.77555756156289e-17 -0.333333333333333 2.46655994240452e-17 0.729218296316213
+64 0 2 1 0 36 26 36 0.888888888888889 -2.77555756156289e-17 -0.277777777777778 2.46655994240452e-17 0.726552055334392
+64 0 2 1 0 36 28 36 0.888888888888889 -2.77555756156289e-17 -0.222222222222222 2.46655994240452e-17 0.725100663327575
+64 0 2 1 0 36 30 36 0.888888888888889 -2.77555756156289e-17 -0.166666666666667 2.46655994240452e-17 0.724502518106703
+64 0 2 1 0 36 32 36 0.888888888888889 -2.77555756156289e-17 -0.111111111111111 2.46655994240452e-17 0.724342898925177
+64 0 2 1 0 36 34 36 0.888888888888889 -2.77555756156289e-17 -0.0555555555555556 2.46655994240452e-17 0.72395273727097
+64 0 2 1 0 36 36 36 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 2.46655994240452e-17 0.723733474251298
+64 0 2 1 0 36 38 36 0.888888888888889 -2.77555756156289e-17 0.0555555555555555 2.46655994240452e-17 0.72395273727097
+64 0 2 1 0 36 40 36 0.888888888888889 -2.77555756156289e-17 0.111111111111111 2.46655994240452e-17 0.724342898925177
+64 0 2 1 0 36 42 36 0.888888888888889 -2.77555756156289e-17 0.166666666666667 2.46655994240452e-17 0.724502518106703
+64 0 2 1 0 36 44 36 0.888888888888889 -2.77555756156289e-17 0.222222222222222 2.46655994240452e-17 0.725100663327574
+64 0 2 1 0 36 46 36 0.888888888888889 -2.77555756156289e-17 0.277777777777778 2.46655994240452e-17 0.726552055334392
+64 0 2 1 0 36 48 36 0.888888888888889 -2.77555756156289e-17 0.333333333333333 2.46655994240452e-17 0.729218296316213
+64 0 2 1 0 36 50 36 0.888888888888889 -2.77555756156289e-17 0.388888888888889 2.46655994240452e-17 0.733688776948745
+
+# iteration 64
+# refinement level 2 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 2 2 0 36 22 36 0.888888888888889 2.46655994240452e-17 -0.388888888888889 -2.77555756156289e-17 0.733688776948746
+64 0 2 2 0 36 24 36 0.888888888888889 2.46655994240452e-17 -0.333333333333333 -2.77555756156289e-17 0.729218296316213
+64 0 2 2 0 36 26 36 0.888888888888889 2.46655994240452e-17 -0.277777777777778 -2.77555756156289e-17 0.726552055334392
+64 0 2 2 0 36 28 36 0.888888888888889 2.46655994240452e-17 -0.222222222222222 -2.77555756156289e-17 0.725100663327575
+64 0 2 2 0 36 30 36 0.888888888888889 2.46655994240452e-17 -0.166666666666667 -2.77555756156289e-17 0.724502518106703
+64 0 2 2 0 36 32 36 0.888888888888889 2.46655994240452e-17 -0.111111111111111 -2.77555756156289e-17 0.724342898925177
+64 0 2 2 0 36 34 36 0.888888888888889 2.46655994240452e-17 -0.0555555555555556 -2.77555756156289e-17 0.72395273727097
+64 0 2 2 0 36 36 36 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 -2.77555756156289e-17 0.723733474251298
+64 0 2 2 0 36 38 36 0.888888888888889 2.46655994240452e-17 0.0555555555555555 -2.77555756156289e-17 0.72395273727097
+64 0 2 2 0 36 40 36 0.888888888888889 2.46655994240452e-17 0.111111111111111 -2.77555756156289e-17 0.724342898925177
+64 0 2 2 0 36 42 36 0.888888888888889 2.46655994240452e-17 0.166666666666667 -2.77555756156289e-17 0.724502518106703
+64 0 2 2 0 36 44 36 0.888888888888889 2.46655994240452e-17 0.222222222222222 -2.77555756156289e-17 0.725100663327574
+64 0 2 2 0 36 46 36 0.888888888888889 2.46655994240452e-17 0.277777777777778 -2.77555756156289e-17 0.726552055334392
+64 0 2 2 0 36 48 36 0.888888888888889 2.46655994240452e-17 0.333333333333333 -2.77555756156289e-17 0.729218296316213
+64 0 2 2 0 36 50 36 0.888888888888889 2.46655994240452e-17 0.388888888888889 -2.77555756156289e-17 0.733688776948745
+
+# iteration 64
+# refinement level 2 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 2 3 0 36 22 36 0.888888888888889 -2.77555756156289e-17 -0.388888888888889 -2.77555756156289e-17 0.733688776948746
+64 0 2 3 0 36 24 36 0.888888888888889 -2.77555756156289e-17 -0.333333333333333 -2.77555756156289e-17 0.729218296316213
+64 0 2 3 0 36 26 36 0.888888888888889 -2.77555756156289e-17 -0.277777777777778 -2.77555756156289e-17 0.726552055334392
+64 0 2 3 0 36 28 36 0.888888888888889 -2.77555756156289e-17 -0.222222222222222 -2.77555756156289e-17 0.725100663327575
+64 0 2 3 0 36 30 36 0.888888888888889 -2.77555756156289e-17 -0.166666666666667 -2.77555756156289e-17 0.724502518106703
+64 0 2 3 0 36 32 36 0.888888888888889 -2.77555756156289e-17 -0.111111111111111 -2.77555756156289e-17 0.724342898925177
+64 0 2 3 0 36 34 36 0.888888888888889 -2.77555756156289e-17 -0.0555555555555556 -2.77555756156289e-17 0.72395273727097
+64 0 2 3 0 36 36 36 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 -2.77555756156289e-17 0.723733474251298
+64 0 2 3 0 36 38 36 0.888888888888889 -2.77555756156289e-17 0.0555555555555555 -2.77555756156289e-17 0.72395273727097
+64 0 2 3 0 36 40 36 0.888888888888889 -2.77555756156289e-17 0.111111111111111 -2.77555756156289e-17 0.724342898925177
+64 0 2 3 0 36 42 36 0.888888888888889 -2.77555756156289e-17 0.166666666666667 -2.77555756156289e-17 0.724502518106703
+64 0 2 3 0 36 44 36 0.888888888888889 -2.77555756156289e-17 0.222222222222222 -2.77555756156289e-17 0.725100663327574
+64 0 2 3 0 36 46 36 0.888888888888889 -2.77555756156289e-17 0.277777777777778 -2.77555756156289e-17 0.726552055334392
+64 0 2 3 0 36 48 36 0.888888888888889 -2.77555756156289e-17 0.333333333333333 -2.77555756156289e-17 0.729218296316213
+64 0 2 3 0 36 50 36 0.888888888888889 -2.77555756156289e-17 0.388888888888889 -2.77555756156289e-17 0.733688776948745
+
+
+# iteration 64
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 3 0 0 36 29 36 0.888888888888889 0 -0.194444444444445 0 0.724720854915558
+64 0 3 0 0 36 30 36 0.888888888888889 0 -0.166666666666667 0 0.724502518106703
+64 0 3 0 0 36 31 36 0.888888888888889 0 -0.138888888888889 0 0.724409709543024
+64 0 3 0 0 36 32 36 0.888888888888889 0 -0.111111111111111 0 0.724342898925177
+64 0 3 0 0 36 33 36 0.888888888888889 0 -0.0833333333333334 0 0.724151545837958
+64 0 3 0 0 36 34 36 0.888888888888889 0 -0.0555555555555556 0 0.72395273727097
+64 0 3 0 0 36 35 36 0.888888888888889 0 -0.0277777777777778 0 0.723805016719017
+64 0 3 0 0 36 36 36 0.888888888888889 0 -5.55111512312578e-17 0 0.723733474251298
+64 0 3 0 0 36 37 36 0.888888888888889 0 0.0277777777777777 0 0.723805016719017
+64 0 3 0 0 36 38 36 0.888888888888889 0 0.0555555555555555 0 0.72395273727097
+64 0 3 0 0 36 39 36 0.888888888888889 0 0.0833333333333333 0 0.724151545837958
+64 0 3 0 0 36 40 36 0.888888888888889 0 0.111111111111111 0 0.724342898925177
+64 0 3 0 0 36 41 36 0.888888888888889 0 0.138888888888889 0 0.724409709543024
+64 0 3 0 0 36 42 36 0.888888888888889 0 0.166666666666667 0 0.724502518106703
+64 0 3 0 0 36 43 36 0.888888888888889 0 0.194444444444444 0 0.724720854915558
+
+# iteration 64
+# refinement level 3 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 3 1 0 36 29 36 0.888888888888889 -1.38777878078145e-17 -0.194444444444445 0 0.724720854915558
+64 0 3 1 0 36 30 36 0.888888888888889 -1.38777878078145e-17 -0.166666666666667 0 0.724502518106703
+64 0 3 1 0 36 31 36 0.888888888888889 -1.38777878078145e-17 -0.138888888888889 0 0.724409709543024
+64 0 3 1 0 36 32 36 0.888888888888889 -1.38777878078145e-17 -0.111111111111111 0 0.724342898925177
+64 0 3 1 0 36 33 36 0.888888888888889 -1.38777878078145e-17 -0.0833333333333334 0 0.724151545837958
+64 0 3 1 0 36 34 36 0.888888888888889 -1.38777878078145e-17 -0.0555555555555556 0 0.72395273727097
+64 0 3 1 0 36 35 36 0.888888888888889 -1.38777878078145e-17 -0.0277777777777778 0 0.723805016719017
+64 0 3 1 0 36 36 36 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 0 0.723733474251298
+64 0 3 1 0 36 37 36 0.888888888888889 -1.38777878078145e-17 0.0277777777777777 0 0.723805016719017
+64 0 3 1 0 36 38 36 0.888888888888889 -1.38777878078145e-17 0.0555555555555555 0 0.72395273727097
+64 0 3 1 0 36 39 36 0.888888888888889 -1.38777878078145e-17 0.0833333333333333 0 0.724151545837958
+64 0 3 1 0 36 40 36 0.888888888888889 -1.38777878078145e-17 0.111111111111111 0 0.724342898925177
+64 0 3 1 0 36 41 36 0.888888888888889 -1.38777878078145e-17 0.138888888888889 0 0.724409709543024
+64 0 3 1 0 36 42 36 0.888888888888889 -1.38777878078145e-17 0.166666666666667 0 0.724502518106703
+64 0 3 1 0 36 43 36 0.888888888888889 -1.38777878078145e-17 0.194444444444444 0 0.724720854915558
+
+# iteration 64
+# refinement level 3 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 3 2 0 36 29 36 0.888888888888889 0 -0.194444444444445 -1.38777878078145e-17 0.724720854915558
+64 0 3 2 0 36 30 36 0.888888888888889 0 -0.166666666666667 -1.38777878078145e-17 0.724502518106703
+64 0 3 2 0 36 31 36 0.888888888888889 0 -0.138888888888889 -1.38777878078145e-17 0.724409709543024
+64 0 3 2 0 36 32 36 0.888888888888889 0 -0.111111111111111 -1.38777878078145e-17 0.724342898925177
+64 0 3 2 0 36 33 36 0.888888888888889 0 -0.0833333333333334 -1.38777878078145e-17 0.724151545837958
+64 0 3 2 0 36 34 36 0.888888888888889 0 -0.0555555555555556 -1.38777878078145e-17 0.72395273727097
+64 0 3 2 0 36 35 36 0.888888888888889 0 -0.0277777777777778 -1.38777878078145e-17 0.723805016719017
+64 0 3 2 0 36 36 36 0.888888888888889 0 -5.55111512312578e-17 -1.38777878078145e-17 0.723733474251298
+64 0 3 2 0 36 37 36 0.888888888888889 0 0.0277777777777777 -1.38777878078145e-17 0.723805016719017
+64 0 3 2 0 36 38 36 0.888888888888889 0 0.0555555555555555 -1.38777878078145e-17 0.72395273727097
+64 0 3 2 0 36 39 36 0.888888888888889 0 0.0833333333333333 -1.38777878078145e-17 0.724151545837958
+64 0 3 2 0 36 40 36 0.888888888888889 0 0.111111111111111 -1.38777878078145e-17 0.724342898925177
+64 0 3 2 0 36 41 36 0.888888888888889 0 0.138888888888889 -1.38777878078145e-17 0.724409709543024
+64 0 3 2 0 36 42 36 0.888888888888889 0 0.166666666666667 -1.38777878078145e-17 0.724502518106703
+64 0 3 2 0 36 43 36 0.888888888888889 0 0.194444444444444 -1.38777878078145e-17 0.724720854915558
+
+# iteration 64
+# refinement level 3 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 3 3 0 36 29 36 0.888888888888889 -1.38777878078145e-17 -0.194444444444445 -1.38777878078145e-17 0.724720854915558
+64 0 3 3 0 36 30 36 0.888888888888889 -1.38777878078145e-17 -0.166666666666667 -1.38777878078145e-17 0.724502518106703
+64 0 3 3 0 36 31 36 0.888888888888889 -1.38777878078145e-17 -0.138888888888889 -1.38777878078145e-17 0.724409709543024
+64 0 3 3 0 36 32 36 0.888888888888889 -1.38777878078145e-17 -0.111111111111111 -1.38777878078145e-17 0.724342898925177
+64 0 3 3 0 36 33 36 0.888888888888889 -1.38777878078145e-17 -0.0833333333333334 -1.38777878078145e-17 0.724151545837958
+64 0 3 3 0 36 34 36 0.888888888888889 -1.38777878078145e-17 -0.0555555555555556 -1.38777878078145e-17 0.72395273727097
+64 0 3 3 0 36 35 36 0.888888888888889 -1.38777878078145e-17 -0.0277777777777778 -1.38777878078145e-17 0.723805016719017
+64 0 3 3 0 36 36 36 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 -1.38777878078145e-17 0.723733474251298
+64 0 3 3 0 36 37 36 0.888888888888889 -1.38777878078145e-17 0.0277777777777777 -1.38777878078145e-17 0.723805016719017
+64 0 3 3 0 36 38 36 0.888888888888889 -1.38777878078145e-17 0.0555555555555555 -1.38777878078145e-17 0.72395273727097
+64 0 3 3 0 36 39 36 0.888888888888889 -1.38777878078145e-17 0.0833333333333333 -1.38777878078145e-17 0.724151545837958
+64 0 3 3 0 36 40 36 0.888888888888889 -1.38777878078145e-17 0.111111111111111 -1.38777878078145e-17 0.724342898925177
+64 0 3 3 0 36 41 36 0.888888888888889 -1.38777878078145e-17 0.138888888888889 -1.38777878078145e-17 0.724409709543024
+64 0 3 3 0 36 42 36 0.888888888888889 -1.38777878078145e-17 0.166666666666667 -1.38777878078145e-17 0.724502518106703
+64 0 3 3 0 36 43 36 0.888888888888889 -1.38777878078145e-17 0.194444444444444 -1.38777878078145e-17 0.724720854915558
+
+
+# iteration 96
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 0 0 0 40 0 40 1.33333333333333 0.111111111111111 -1 0.111111111111111 0.877480603359996
+96 0 0 0 0 40 8 40 1.33333333333333 0.111111111111111 -0.777777777777778 0.111111111111111 0.798008089475601
+96 0 0 0 0 40 16 40 1.33333333333333 0.111111111111111 -0.555555555555556 0.111111111111111 0.735090597558599
+96 0 0 0 0 40 24 40 1.33333333333333 0.111111111111111 -0.333333333333333 0.111111111111111 0.677899959110667
+96 0 0 0 0 40 32 40 1.33333333333333 0.111111111111111 -0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 0 0 40 40 40 1.33333333333333 0.111111111111111 0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 0 0 40 48 40 1.33333333333333 0.111111111111111 0.333333333333333 0.111111111111111 0.677899959110667
+96 0 0 0 0 40 56 40 1.33333333333333 0.111111111111111 0.555555555555556 0.111111111111111 0.735090597558599
+96 0 0 0 0 40 64 40 1.33333333333333 0.111111111111111 0.777777777777778 0.111111111111111 0.798008089475601
+96 0 0 0 0 40 72 40 1.33333333333333 0.111111111111111 1 0.111111111111111 0.877480603359996
+
+# iteration 96
+# refinement level 0 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 0 1 0 40 0 40 1.33333333333333 0.111111111111111 -1 0.111111111111111 0.877480603359996
+96 0 0 1 0 40 8 40 1.33333333333333 0.111111111111111 -0.777777777777778 0.111111111111111 0.798008089475601
+96 0 0 1 0 40 16 40 1.33333333333333 0.111111111111111 -0.555555555555556 0.111111111111111 0.735090597558599
+96 0 0 1 0 40 24 40 1.33333333333333 0.111111111111111 -0.333333333333333 0.111111111111111 0.677899959110667
+96 0 0 1 0 40 32 40 1.33333333333333 0.111111111111111 -0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 1 0 40 40 40 1.33333333333333 0.111111111111111 0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 1 0 40 48 40 1.33333333333333 0.111111111111111 0.333333333333333 0.111111111111111 0.677899959110667
+96 0 0 1 0 40 56 40 1.33333333333333 0.111111111111111 0.555555555555556 0.111111111111111 0.735090597558599
+96 0 0 1 0 40 64 40 1.33333333333333 0.111111111111111 0.777777777777778 0.111111111111111 0.798008089475601
+96 0 0 1 0 40 72 40 1.33333333333333 0.111111111111111 1 0.111111111111111 0.877480603359996
+
+# iteration 96
+# refinement level 0 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 0 2 0 40 0 40 1.33333333333333 0.111111111111111 -1 0.111111111111111 0.877480603359996
+96 0 0 2 0 40 8 40 1.33333333333333 0.111111111111111 -0.777777777777778 0.111111111111111 0.798008089475601
+96 0 0 2 0 40 16 40 1.33333333333333 0.111111111111111 -0.555555555555556 0.111111111111111 0.735090597558599
+96 0 0 2 0 40 24 40 1.33333333333333 0.111111111111111 -0.333333333333333 0.111111111111111 0.677899959110667
+96 0 0 2 0 40 32 40 1.33333333333333 0.111111111111111 -0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 2 0 40 40 40 1.33333333333333 0.111111111111111 0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 2 0 40 48 40 1.33333333333333 0.111111111111111 0.333333333333333 0.111111111111111 0.677899959110667
+96 0 0 2 0 40 56 40 1.33333333333333 0.111111111111111 0.555555555555556 0.111111111111111 0.735090597558599
+96 0 0 2 0 40 64 40 1.33333333333333 0.111111111111111 0.777777777777778 0.111111111111111 0.798008089475601
+96 0 0 2 0 40 72 40 1.33333333333333 0.111111111111111 1 0.111111111111111 0.877480603359996
+
+# iteration 96
+# refinement level 0 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 0 3 0 40 0 40 1.33333333333333 0.111111111111111 -1 0.111111111111111 0.877480603359996
+96 0 0 3 0 40 8 40 1.33333333333333 0.111111111111111 -0.777777777777778 0.111111111111111 0.798008089475601
+96 0 0 3 0 40 16 40 1.33333333333333 0.111111111111111 -0.555555555555556 0.111111111111111 0.735090597558599
+96 0 0 3 0 40 24 40 1.33333333333333 0.111111111111111 -0.333333333333333 0.111111111111111 0.677899959110667
+96 0 0 3 0 40 32 40 1.33333333333333 0.111111111111111 -0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 3 0 40 40 40 1.33333333333333 0.111111111111111 0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 3 0 40 48 40 1.33333333333333 0.111111111111111 0.333333333333333 0.111111111111111 0.677899959110667
+96 0 0 3 0 40 56 40 1.33333333333333 0.111111111111111 0.555555555555556 0.111111111111111 0.735090597558599
+96 0 0 3 0 40 64 40 1.33333333333333 0.111111111111111 0.777777777777778 0.111111111111111 0.798008089475601
+96 0 0 3 0 40 72 40 1.33333333333333 0.111111111111111 1 0.111111111111111 0.877480603359996
+
+
+# iteration 96
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 1 0 0 36 8 36 1.33333333333333 -9.86623976961809e-17 -0.777777777777778 -9.86623976961809e-17 0.796688784792057
+96 0 1 0 0 36 12 36 1.33333333333333 -9.86623976961809e-17 -0.666666666666667 -9.86623976961809e-17 0.76190136189151
+96 0 1 0 0 36 16 36 1.33333333333333 -9.86623976961809e-17 -0.555555555555556 -9.86623976961809e-17 0.729928937348657
+96 0 1 0 0 36 20 36 1.33333333333333 -9.86623976961809e-17 -0.444444444444444 -9.86623976961809e-17 0.698215010923196
+96 0 1 0 0 36 24 36 1.33333333333333 -9.86623976961809e-17 -0.333333333333333 -9.86623976961809e-17 0.668908746807157
+96 0 1 0 0 36 28 36 1.33333333333333 -9.86623976961809e-17 -0.222222222222222 -9.86623976961809e-17 0.641345710414296
+96 0 1 0 0 36 32 36 1.33333333333333 -9.86623976961809e-17 -0.111111111111111 -9.86623976961809e-17 0.621410197839124
+96 0 1 0 0 36 36 36 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 -9.86623976961809e-17 0.61547287921812
+96 0 1 0 0 36 40 36 1.33333333333333 -9.86623976961809e-17 0.111111111111111 -9.86623976961809e-17 0.621410197839125
+96 0 1 0 0 36 44 36 1.33333333333333 -9.86623976961809e-17 0.222222222222222 -9.86623976961809e-17 0.641345710414297
+96 0 1 0 0 36 48 36 1.33333333333333 -9.86623976961809e-17 0.333333333333333 -9.86623976961809e-17 0.668908746807157
+96 0 1 0 0 36 52 36 1.33333333333333 -9.86623976961809e-17 0.444444444444444 -9.86623976961809e-17 0.698215010923196
+96 0 1 0 0 36 56 36 1.33333333333333 -9.86623976961809e-17 0.555555555555555 -9.86623976961809e-17 0.729928937348657
+96 0 1 0 0 36 60 36 1.33333333333333 -9.86623976961809e-17 0.666666666666667 -9.86623976961809e-17 0.76190136189151
+96 0 1 0 0 36 64 36 1.33333333333333 -9.86623976961809e-17 0.777777777777778 -9.86623976961809e-17 0.796688784792057
+
+# iteration 96
+# refinement level 1 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 1 1 0 36 8 36 1.33333333333333 -5.55111512312578e-17 -0.777777777777778 -9.86623976961809e-17 0.796688784792057
+96 0 1 1 0 36 12 36 1.33333333333333 -5.55111512312578e-17 -0.666666666666667 -9.86623976961809e-17 0.76190136189151
+96 0 1 1 0 36 16 36 1.33333333333333 -5.55111512312578e-17 -0.555555555555556 -9.86623976961809e-17 0.729928937348657
+96 0 1 1 0 36 20 36 1.33333333333333 -5.55111512312578e-17 -0.444444444444444 -9.86623976961809e-17 0.698215010923196
+96 0 1 1 0 36 24 36 1.33333333333333 -5.55111512312578e-17 -0.333333333333333 -9.86623976961809e-17 0.668908746807157
+96 0 1 1 0 36 28 36 1.33333333333333 -5.55111512312578e-17 -0.222222222222222 -9.86623976961809e-17 0.641345710414296
+96 0 1 1 0 36 32 36 1.33333333333333 -5.55111512312578e-17 -0.111111111111111 -9.86623976961809e-17 0.621410197839124
+96 0 1 1 0 36 36 36 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -9.86623976961809e-17 0.61547287921812
+96 0 1 1 0 36 40 36 1.33333333333333 -5.55111512312578e-17 0.111111111111111 -9.86623976961809e-17 0.621410197839125
+96 0 1 1 0 36 44 36 1.33333333333333 -5.55111512312578e-17 0.222222222222222 -9.86623976961809e-17 0.641345710414297
+96 0 1 1 0 36 48 36 1.33333333333333 -5.55111512312578e-17 0.333333333333333 -9.86623976961809e-17 0.668908746807157
+96 0 1 1 0 36 52 36 1.33333333333333 -5.55111512312578e-17 0.444444444444444 -9.86623976961809e-17 0.698215010923196
+96 0 1 1 0 36 56 36 1.33333333333333 -5.55111512312578e-17 0.555555555555555 -9.86623976961809e-17 0.729928937348657
+96 0 1 1 0 36 60 36 1.33333333333333 -5.55111512312578e-17 0.666666666666667 -9.86623976961809e-17 0.76190136189151
+96 0 1 1 0 36 64 36 1.33333333333333 -5.55111512312578e-17 0.777777777777778 -9.86623976961809e-17 0.796688784792057
+
+# iteration 96
+# refinement level 1 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 1 2 0 36 8 36 1.33333333333333 -9.86623976961809e-17 -0.777777777777778 -5.55111512312578e-17 0.796688784792057
+96 0 1 2 0 36 12 36 1.33333333333333 -9.86623976961809e-17 -0.666666666666667 -5.55111512312578e-17 0.76190136189151
+96 0 1 2 0 36 16 36 1.33333333333333 -9.86623976961809e-17 -0.555555555555556 -5.55111512312578e-17 0.729928937348657
+96 0 1 2 0 36 20 36 1.33333333333333 -9.86623976961809e-17 -0.444444444444444 -5.55111512312578e-17 0.698215010923196
+96 0 1 2 0 36 24 36 1.33333333333333 -9.86623976961809e-17 -0.333333333333333 -5.55111512312578e-17 0.668908746807157
+96 0 1 2 0 36 28 36 1.33333333333333 -9.86623976961809e-17 -0.222222222222222 -5.55111512312578e-17 0.641345710414296
+96 0 1 2 0 36 32 36 1.33333333333333 -9.86623976961809e-17 -0.111111111111111 -5.55111512312578e-17 0.621410197839124
+96 0 1 2 0 36 36 36 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.61547287921812
+96 0 1 2 0 36 40 36 1.33333333333333 -9.86623976961809e-17 0.111111111111111 -5.55111512312578e-17 0.621410197839125
+96 0 1 2 0 36 44 36 1.33333333333333 -9.86623976961809e-17 0.222222222222222 -5.55111512312578e-17 0.641345710414297
+96 0 1 2 0 36 48 36 1.33333333333333 -9.86623976961809e-17 0.333333333333333 -5.55111512312578e-17 0.668908746807157
+96 0 1 2 0 36 52 36 1.33333333333333 -9.86623976961809e-17 0.444444444444444 -5.55111512312578e-17 0.698215010923196
+96 0 1 2 0 36 56 36 1.33333333333333 -9.86623976961809e-17 0.555555555555555 -5.55111512312578e-17 0.729928937348657
+96 0 1 2 0 36 60 36 1.33333333333333 -9.86623976961809e-17 0.666666666666667 -5.55111512312578e-17 0.76190136189151
+96 0 1 2 0 36 64 36 1.33333333333333 -9.86623976961809e-17 0.777777777777778 -5.55111512312578e-17 0.796688784792057
+
+# iteration 96
+# refinement level 1 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 1 3 0 36 8 36 1.33333333333333 -5.55111512312578e-17 -0.777777777777778 -5.55111512312578e-17 0.796688784792057
+96 0 1 3 0 36 12 36 1.33333333333333 -5.55111512312578e-17 -0.666666666666667 -5.55111512312578e-17 0.76190136189151
+96 0 1 3 0 36 16 36 1.33333333333333 -5.55111512312578e-17 -0.555555555555556 -5.55111512312578e-17 0.729928937348657
+96 0 1 3 0 36 20 36 1.33333333333333 -5.55111512312578e-17 -0.444444444444444 -5.55111512312578e-17 0.698215010923196
+96 0 1 3 0 36 24 36 1.33333333333333 -5.55111512312578e-17 -0.333333333333333 -5.55111512312578e-17 0.668908746807157
+96 0 1 3 0 36 28 36 1.33333333333333 -5.55111512312578e-17 -0.222222222222222 -5.55111512312578e-17 0.641345710414296
+96 0 1 3 0 36 32 36 1.33333333333333 -5.55111512312578e-17 -0.111111111111111 -5.55111512312578e-17 0.621410197839124
+96 0 1 3 0 36 36 36 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.61547287921812
+96 0 1 3 0 36 40 36 1.33333333333333 -5.55111512312578e-17 0.111111111111111 -5.55111512312578e-17 0.621410197839125
+96 0 1 3 0 36 44 36 1.33333333333333 -5.55111512312578e-17 0.222222222222222 -5.55111512312578e-17 0.641345710414297
+96 0 1 3 0 36 48 36 1.33333333333333 -5.55111512312578e-17 0.333333333333333 -5.55111512312578e-17 0.668908746807157
+96 0 1 3 0 36 52 36 1.33333333333333 -5.55111512312578e-17 0.444444444444444 -5.55111512312578e-17 0.698215010923196
+96 0 1 3 0 36 56 36 1.33333333333333 -5.55111512312578e-17 0.555555555555555 -5.55111512312578e-17 0.729928937348657
+96 0 1 3 0 36 60 36 1.33333333333333 -5.55111512312578e-17 0.666666666666667 -5.55111512312578e-17 0.76190136189151
+96 0 1 3 0 36 64 36 1.33333333333333 -5.55111512312578e-17 0.777777777777778 -5.55111512312578e-17 0.796688784792057
+
+
+# iteration 96
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 2 0 0 36 22 36 1.33333333333333 2.46655994240452e-17 -0.388888888888889 2.46655994240452e-17 0.683302448238139
+96 0 2 0 0 36 24 36 1.33333333333333 2.46655994240452e-17 -0.333333333333333 2.46655994240452e-17 0.668908746807157
+96 0 2 0 0 36 26 36 1.33333333333333 2.46655994240452e-17 -0.277777777777778 2.46655994240452e-17 0.654541556639422
+96 0 2 0 0 36 28 36 1.33333333333333 2.46655994240452e-17 -0.222222222222222 2.46655994240452e-17 0.641345710414296
+96 0 2 0 0 36 30 36 1.33333333333333 2.46655994240452e-17 -0.166666666666667 2.46655994240452e-17 0.630026346765969
+96 0 2 0 0 36 32 36 1.33333333333333 2.46655994240452e-17 -0.111111111111111 2.46655994240452e-17 0.621410197839124
+96 0 2 0 0 36 34 36 1.33333333333333 2.46655994240452e-17 -0.0555555555555556 2.46655994240452e-17 0.616824486578861
+96 0 2 0 0 36 36 36 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 2.46655994240452e-17 0.61547287921812
+96 0 2 0 0 36 38 36 1.33333333333333 2.46655994240452e-17 0.0555555555555555 2.46655994240452e-17 0.616824486578861
+96 0 2 0 0 36 40 36 1.33333333333333 2.46655994240452e-17 0.111111111111111 2.46655994240452e-17 0.621410197839125
+96 0 2 0 0 36 42 36 1.33333333333333 2.46655994240452e-17 0.166666666666667 2.46655994240452e-17 0.63002634676597
+96 0 2 0 0 36 44 36 1.33333333333333 2.46655994240452e-17 0.222222222222222 2.46655994240452e-17 0.641345710414297
+96 0 2 0 0 36 46 36 1.33333333333333 2.46655994240452e-17 0.277777777777778 2.46655994240452e-17 0.654541556639422
+96 0 2 0 0 36 48 36 1.33333333333333 2.46655994240452e-17 0.333333333333333 2.46655994240452e-17 0.668908746807157
+96 0 2 0 0 36 50 36 1.33333333333333 2.46655994240452e-17 0.388888888888889 2.46655994240452e-17 0.683302448238139
+
+# iteration 96
+# refinement level 2 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 2 1 0 36 22 36 1.33333333333333 -2.77555756156289e-17 -0.388888888888889 2.46655994240452e-17 0.683302448238139
+96 0 2 1 0 36 24 36 1.33333333333333 -2.77555756156289e-17 -0.333333333333333 2.46655994240452e-17 0.668908746807157
+96 0 2 1 0 36 26 36 1.33333333333333 -2.77555756156289e-17 -0.277777777777778 2.46655994240452e-17 0.654541556639422
+96 0 2 1 0 36 28 36 1.33333333333333 -2.77555756156289e-17 -0.222222222222222 2.46655994240452e-17 0.641345710414296
+96 0 2 1 0 36 30 36 1.33333333333333 -2.77555756156289e-17 -0.166666666666667 2.46655994240452e-17 0.630026346765969
+96 0 2 1 0 36 32 36 1.33333333333333 -2.77555756156289e-17 -0.111111111111111 2.46655994240452e-17 0.621410197839124
+96 0 2 1 0 36 34 36 1.33333333333333 -2.77555756156289e-17 -0.0555555555555556 2.46655994240452e-17 0.616824486578861
+96 0 2 1 0 36 36 36 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 2.46655994240452e-17 0.61547287921812
+96 0 2 1 0 36 38 36 1.33333333333333 -2.77555756156289e-17 0.0555555555555555 2.46655994240452e-17 0.616824486578861
+96 0 2 1 0 36 40 36 1.33333333333333 -2.77555756156289e-17 0.111111111111111 2.46655994240452e-17 0.621410197839125
+96 0 2 1 0 36 42 36 1.33333333333333 -2.77555756156289e-17 0.166666666666667 2.46655994240452e-17 0.63002634676597
+96 0 2 1 0 36 44 36 1.33333333333333 -2.77555756156289e-17 0.222222222222222 2.46655994240452e-17 0.641345710414297
+96 0 2 1 0 36 46 36 1.33333333333333 -2.77555756156289e-17 0.277777777777778 2.46655994240452e-17 0.654541556639422
+96 0 2 1 0 36 48 36 1.33333333333333 -2.77555756156289e-17 0.333333333333333 2.46655994240452e-17 0.668908746807157
+96 0 2 1 0 36 50 36 1.33333333333333 -2.77555756156289e-17 0.388888888888889 2.46655994240452e-17 0.683302448238139
+
+# iteration 96
+# refinement level 2 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 2 2 0 36 22 36 1.33333333333333 2.46655994240452e-17 -0.388888888888889 -2.77555756156289e-17 0.683302448238139
+96 0 2 2 0 36 24 36 1.33333333333333 2.46655994240452e-17 -0.333333333333333 -2.77555756156289e-17 0.668908746807157
+96 0 2 2 0 36 26 36 1.33333333333333 2.46655994240452e-17 -0.277777777777778 -2.77555756156289e-17 0.654541556639422
+96 0 2 2 0 36 28 36 1.33333333333333 2.46655994240452e-17 -0.222222222222222 -2.77555756156289e-17 0.641345710414296
+96 0 2 2 0 36 30 36 1.33333333333333 2.46655994240452e-17 -0.166666666666667 -2.77555756156289e-17 0.630026346765969
+96 0 2 2 0 36 32 36 1.33333333333333 2.46655994240452e-17 -0.111111111111111 -2.77555756156289e-17 0.621410197839124
+96 0 2 2 0 36 34 36 1.33333333333333 2.46655994240452e-17 -0.0555555555555556 -2.77555756156289e-17 0.616824486578861
+96 0 2 2 0 36 36 36 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 -2.77555756156289e-17 0.61547287921812
+96 0 2 2 0 36 38 36 1.33333333333333 2.46655994240452e-17 0.0555555555555555 -2.77555756156289e-17 0.616824486578861
+96 0 2 2 0 36 40 36 1.33333333333333 2.46655994240452e-17 0.111111111111111 -2.77555756156289e-17 0.621410197839125
+96 0 2 2 0 36 42 36 1.33333333333333 2.46655994240452e-17 0.166666666666667 -2.77555756156289e-17 0.63002634676597
+96 0 2 2 0 36 44 36 1.33333333333333 2.46655994240452e-17 0.222222222222222 -2.77555756156289e-17 0.641345710414297
+96 0 2 2 0 36 46 36 1.33333333333333 2.46655994240452e-17 0.277777777777778 -2.77555756156289e-17 0.654541556639422
+96 0 2 2 0 36 48 36 1.33333333333333 2.46655994240452e-17 0.333333333333333 -2.77555756156289e-17 0.668908746807157
+96 0 2 2 0 36 50 36 1.33333333333333 2.46655994240452e-17 0.388888888888889 -2.77555756156289e-17 0.683302448238139
+
+# iteration 96
+# refinement level 2 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 2 3 0 36 22 36 1.33333333333333 -2.77555756156289e-17 -0.388888888888889 -2.77555756156289e-17 0.683302448238139
+96 0 2 3 0 36 24 36 1.33333333333333 -2.77555756156289e-17 -0.333333333333333 -2.77555756156289e-17 0.668908746807157
+96 0 2 3 0 36 26 36 1.33333333333333 -2.77555756156289e-17 -0.277777777777778 -2.77555756156289e-17 0.654541556639422
+96 0 2 3 0 36 28 36 1.33333333333333 -2.77555756156289e-17 -0.222222222222222 -2.77555756156289e-17 0.641345710414296
+96 0 2 3 0 36 30 36 1.33333333333333 -2.77555756156289e-17 -0.166666666666667 -2.77555756156289e-17 0.630026346765969
+96 0 2 3 0 36 32 36 1.33333333333333 -2.77555756156289e-17 -0.111111111111111 -2.77555756156289e-17 0.621410197839124
+96 0 2 3 0 36 34 36 1.33333333333333 -2.77555756156289e-17 -0.0555555555555556 -2.77555756156289e-17 0.616824486578861
+96 0 2 3 0 36 36 36 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 -2.77555756156289e-17 0.61547287921812
+96 0 2 3 0 36 38 36 1.33333333333333 -2.77555756156289e-17 0.0555555555555555 -2.77555756156289e-17 0.616824486578861
+96 0 2 3 0 36 40 36 1.33333333333333 -2.77555756156289e-17 0.111111111111111 -2.77555756156289e-17 0.621410197839125
+96 0 2 3 0 36 42 36 1.33333333333333 -2.77555756156289e-17 0.166666666666667 -2.77555756156289e-17 0.63002634676597
+96 0 2 3 0 36 44 36 1.33333333333333 -2.77555756156289e-17 0.222222222222222 -2.77555756156289e-17 0.641345710414297
+96 0 2 3 0 36 46 36 1.33333333333333 -2.77555756156289e-17 0.277777777777778 -2.77555756156289e-17 0.654541556639422
+96 0 2 3 0 36 48 36 1.33333333333333 -2.77555756156289e-17 0.333333333333333 -2.77555756156289e-17 0.668908746807157
+96 0 2 3 0 36 50 36 1.33333333333333 -2.77555756156289e-17 0.388888888888889 -2.77555756156289e-17 0.683302448238139
+
+
+# iteration 96
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 3 0 0 36 29 36 1.33333333333333 0 -0.194444444444445 0 0.63539979750899
+96 0 3 0 0 36 30 36 1.33333333333333 0 -0.166666666666667 0 0.630026346765969
+96 0 3 0 0 36 31 36 1.33333333333333 0 -0.138888888888889 0 0.625297419028293
+96 0 3 0 0 36 32 36 1.33333333333333 0 -0.111111111111111 0 0.621410197839124
+96 0 3 0 0 36 33 36 1.33333333333333 0 -0.0833333333333334 0 0.618663308361111
+96 0 3 0 0 36 34 36 1.33333333333333 0 -0.0555555555555556 0 0.616824486578861
+96 0 3 0 0 36 35 36 1.33333333333333 0 -0.0277777777777778 0 0.615777600484678
+96 0 3 0 0 36 36 36 1.33333333333333 0 -5.55111512312578e-17 0 0.61547287921812
+96 0 3 0 0 36 37 36 1.33333333333333 0 0.0277777777777777 0 0.615777600484678
+96 0 3 0 0 36 38 36 1.33333333333333 0 0.0555555555555555 0 0.616824486578861
+96 0 3 0 0 36 39 36 1.33333333333333 0 0.0833333333333333 0 0.618663308361111
+96 0 3 0 0 36 40 36 1.33333333333333 0 0.111111111111111 0 0.621410197839125
+96 0 3 0 0 36 41 36 1.33333333333333 0 0.138888888888889 0 0.625297419028293
+96 0 3 0 0 36 42 36 1.33333333333333 0 0.166666666666667 0 0.63002634676597
+96 0 3 0 0 36 43 36 1.33333333333333 0 0.194444444444444 0 0.63539979750899
+
+# iteration 96
+# refinement level 3 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 3 1 0 36 29 36 1.33333333333333 -1.38777878078145e-17 -0.194444444444445 0 0.63539979750899
+96 0 3 1 0 36 30 36 1.33333333333333 -1.38777878078145e-17 -0.166666666666667 0 0.630026346765969
+96 0 3 1 0 36 31 36 1.33333333333333 -1.38777878078145e-17 -0.138888888888889 0 0.625297419028293
+96 0 3 1 0 36 32 36 1.33333333333333 -1.38777878078145e-17 -0.111111111111111 0 0.621410197839124
+96 0 3 1 0 36 33 36 1.33333333333333 -1.38777878078145e-17 -0.0833333333333334 0 0.618663308361111
+96 0 3 1 0 36 34 36 1.33333333333333 -1.38777878078145e-17 -0.0555555555555556 0 0.616824486578861
+96 0 3 1 0 36 35 36 1.33333333333333 -1.38777878078145e-17 -0.0277777777777778 0 0.615777600484678
+96 0 3 1 0 36 36 36 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 0 0.61547287921812
+96 0 3 1 0 36 37 36 1.33333333333333 -1.38777878078145e-17 0.0277777777777777 0 0.615777600484678
+96 0 3 1 0 36 38 36 1.33333333333333 -1.38777878078145e-17 0.0555555555555555 0 0.616824486578861
+96 0 3 1 0 36 39 36 1.33333333333333 -1.38777878078145e-17 0.0833333333333333 0 0.618663308361111
+96 0 3 1 0 36 40 36 1.33333333333333 -1.38777878078145e-17 0.111111111111111 0 0.621410197839125
+96 0 3 1 0 36 41 36 1.33333333333333 -1.38777878078145e-17 0.138888888888889 0 0.625297419028293
+96 0 3 1 0 36 42 36 1.33333333333333 -1.38777878078145e-17 0.166666666666667 0 0.63002634676597
+96 0 3 1 0 36 43 36 1.33333333333333 -1.38777878078145e-17 0.194444444444444 0 0.63539979750899
+
+# iteration 96
+# refinement level 3 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 3 2 0 36 29 36 1.33333333333333 0 -0.194444444444445 -1.38777878078145e-17 0.63539979750899
+96 0 3 2 0 36 30 36 1.33333333333333 0 -0.166666666666667 -1.38777878078145e-17 0.630026346765969
+96 0 3 2 0 36 31 36 1.33333333333333 0 -0.138888888888889 -1.38777878078145e-17 0.625297419028293
+96 0 3 2 0 36 32 36 1.33333333333333 0 -0.111111111111111 -1.38777878078145e-17 0.621410197839124
+96 0 3 2 0 36 33 36 1.33333333333333 0 -0.0833333333333334 -1.38777878078145e-17 0.618663308361111
+96 0 3 2 0 36 34 36 1.33333333333333 0 -0.0555555555555556 -1.38777878078145e-17 0.616824486578861
+96 0 3 2 0 36 35 36 1.33333333333333 0 -0.0277777777777778 -1.38777878078145e-17 0.615777600484678
+96 0 3 2 0 36 36 36 1.33333333333333 0 -5.55111512312578e-17 -1.38777878078145e-17 0.61547287921812
+96 0 3 2 0 36 37 36 1.33333333333333 0 0.0277777777777777 -1.38777878078145e-17 0.615777600484678
+96 0 3 2 0 36 38 36 1.33333333333333 0 0.0555555555555555 -1.38777878078145e-17 0.616824486578861
+96 0 3 2 0 36 39 36 1.33333333333333 0 0.0833333333333333 -1.38777878078145e-17 0.618663308361111
+96 0 3 2 0 36 40 36 1.33333333333333 0 0.111111111111111 -1.38777878078145e-17 0.621410197839125
+96 0 3 2 0 36 41 36 1.33333333333333 0 0.138888888888889 -1.38777878078145e-17 0.625297419028293
+96 0 3 2 0 36 42 36 1.33333333333333 0 0.166666666666667 -1.38777878078145e-17 0.63002634676597
+96 0 3 2 0 36 43 36 1.33333333333333 0 0.194444444444444 -1.38777878078145e-17 0.63539979750899
+
+# iteration 96
+# refinement level 3 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 3 3 0 36 29 36 1.33333333333333 -1.38777878078145e-17 -0.194444444444445 -1.38777878078145e-17 0.63539979750899
+96 0 3 3 0 36 30 36 1.33333333333333 -1.38777878078145e-17 -0.166666666666667 -1.38777878078145e-17 0.630026346765969
+96 0 3 3 0 36 31 36 1.33333333333333 -1.38777878078145e-17 -0.138888888888889 -1.38777878078145e-17 0.625297419028293
+96 0 3 3 0 36 32 36 1.33333333333333 -1.38777878078145e-17 -0.111111111111111 -1.38777878078145e-17 0.621410197839124
+96 0 3 3 0 36 33 36 1.33333333333333 -1.38777878078145e-17 -0.0833333333333334 -1.38777878078145e-17 0.618663308361111
+96 0 3 3 0 36 34 36 1.33333333333333 -1.38777878078145e-17 -0.0555555555555556 -1.38777878078145e-17 0.616824486578861
+96 0 3 3 0 36 35 36 1.33333333333333 -1.38777878078145e-17 -0.0277777777777778 -1.38777878078145e-17 0.615777600484678
+96 0 3 3 0 36 36 36 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 -1.38777878078145e-17 0.61547287921812
+96 0 3 3 0 36 37 36 1.33333333333333 -1.38777878078145e-17 0.0277777777777777 -1.38777878078145e-17 0.615777600484678
+96 0 3 3 0 36 38 36 1.33333333333333 -1.38777878078145e-17 0.0555555555555555 -1.38777878078145e-17 0.616824486578861
+96 0 3 3 0 36 39 36 1.33333333333333 -1.38777878078145e-17 0.0833333333333333 -1.38777878078145e-17 0.618663308361111
+96 0 3 3 0 36 40 36 1.33333333333333 -1.38777878078145e-17 0.111111111111111 -1.38777878078145e-17 0.621410197839125
+96 0 3 3 0 36 41 36 1.33333333333333 -1.38777878078145e-17 0.138888888888889 -1.38777878078145e-17 0.625297419028293
+96 0 3 3 0 36 42 36 1.33333333333333 -1.38777878078145e-17 0.166666666666667 -1.38777878078145e-17 0.63002634676597
+96 0 3 3 0 36 43 36 1.33333333333333 -1.38777878078145e-17 0.194444444444444 -1.38777878078145e-17 0.63539979750899
+
+
+# iteration 128
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 0 0 0 40 0 40 1.77777777777778 0.111111111111111 -1 0.111111111111111 0.873700996777018
+128 0 0 0 0 40 8 40 1.77777777777778 0.111111111111111 -0.777777777777778 0.111111111111111 0.859471717622308
+128 0 0 0 0 40 16 40 1.77777777777778 0.111111111111111 -0.555555555555556 0.111111111111111 0.863004424640887
+128 0 0 0 0 40 24 40 1.77777777777778 0.111111111111111 -0.333333333333333 0.111111111111111 0.883486952153519
+128 0 0 0 0 40 32 40 1.77777777777778 0.111111111111111 -0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 0 0 40 40 40 1.77777777777778 0.111111111111111 0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 0 0 40 48 40 1.77777777777778 0.111111111111111 0.333333333333333 0.111111111111111 0.883486952153519
+128 0 0 0 0 40 56 40 1.77777777777778 0.111111111111111 0.555555555555556 0.111111111111111 0.863004424640887
+128 0 0 0 0 40 64 40 1.77777777777778 0.111111111111111 0.777777777777778 0.111111111111111 0.859471717622308
+128 0 0 0 0 40 72 40 1.77777777777778 0.111111111111111 1 0.111111111111111 0.873700996777018
+
+# iteration 128
+# refinement level 0 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 0 1 0 40 0 40 1.77777777777778 0.111111111111111 -1 0.111111111111111 0.873700996777018
+128 0 0 1 0 40 8 40 1.77777777777778 0.111111111111111 -0.777777777777778 0.111111111111111 0.859471717622308
+128 0 0 1 0 40 16 40 1.77777777777778 0.111111111111111 -0.555555555555556 0.111111111111111 0.863004424640887
+128 0 0 1 0 40 24 40 1.77777777777778 0.111111111111111 -0.333333333333333 0.111111111111111 0.883486952153519
+128 0 0 1 0 40 32 40 1.77777777777778 0.111111111111111 -0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 1 0 40 40 40 1.77777777777778 0.111111111111111 0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 1 0 40 48 40 1.77777777777778 0.111111111111111 0.333333333333333 0.111111111111111 0.883486952153519
+128 0 0 1 0 40 56 40 1.77777777777778 0.111111111111111 0.555555555555556 0.111111111111111 0.863004424640887
+128 0 0 1 0 40 64 40 1.77777777777778 0.111111111111111 0.777777777777778 0.111111111111111 0.859471717622308
+128 0 0 1 0 40 72 40 1.77777777777778 0.111111111111111 1 0.111111111111111 0.873700996777018
+
+# iteration 128
+# refinement level 0 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 0 2 0 40 0 40 1.77777777777778 0.111111111111111 -1 0.111111111111111 0.873700996777018
+128 0 0 2 0 40 8 40 1.77777777777778 0.111111111111111 -0.777777777777778 0.111111111111111 0.859471717622308
+128 0 0 2 0 40 16 40 1.77777777777778 0.111111111111111 -0.555555555555556 0.111111111111111 0.863004424640887
+128 0 0 2 0 40 24 40 1.77777777777778 0.111111111111111 -0.333333333333333 0.111111111111111 0.883486952153519
+128 0 0 2 0 40 32 40 1.77777777777778 0.111111111111111 -0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 2 0 40 40 40 1.77777777777778 0.111111111111111 0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 2 0 40 48 40 1.77777777777778 0.111111111111111 0.333333333333333 0.111111111111111 0.883486952153519
+128 0 0 2 0 40 56 40 1.77777777777778 0.111111111111111 0.555555555555556 0.111111111111111 0.863004424640887
+128 0 0 2 0 40 64 40 1.77777777777778 0.111111111111111 0.777777777777778 0.111111111111111 0.859471717622308
+128 0 0 2 0 40 72 40 1.77777777777778 0.111111111111111 1 0.111111111111111 0.873700996777018
+
+# iteration 128
+# refinement level 0 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 0 3 0 40 0 40 1.77777777777778 0.111111111111111 -1 0.111111111111111 0.873700996777018
+128 0 0 3 0 40 8 40 1.77777777777778 0.111111111111111 -0.777777777777778 0.111111111111111 0.859471717622308
+128 0 0 3 0 40 16 40 1.77777777777778 0.111111111111111 -0.555555555555556 0.111111111111111 0.863004424640887
+128 0 0 3 0 40 24 40 1.77777777777778 0.111111111111111 -0.333333333333333 0.111111111111111 0.883486952153519
+128 0 0 3 0 40 32 40 1.77777777777778 0.111111111111111 -0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 3 0 40 40 40 1.77777777777778 0.111111111111111 0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 3 0 40 48 40 1.77777777777778 0.111111111111111 0.333333333333333 0.111111111111111 0.883486952153519
+128 0 0 3 0 40 56 40 1.77777777777778 0.111111111111111 0.555555555555556 0.111111111111111 0.863004424640887
+128 0 0 3 0 40 64 40 1.77777777777778 0.111111111111111 0.777777777777778 0.111111111111111 0.859471717622308
+128 0 0 3 0 40 72 40 1.77777777777778 0.111111111111111 1 0.111111111111111 0.873700996777018
+
+
+# iteration 128
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 1 0 0 36 8 36 1.77777777777778 -9.86623976961809e-17 -0.777777777777778 -9.86623976961809e-17 0.862653663591007
+128 0 1 0 0 36 12 36 1.77777777777778 -9.86623976961809e-17 -0.666666666666667 -9.86623976961809e-17 0.862560028606905
+128 0 1 0 0 36 16 36 1.77777777777778 -9.86623976961809e-17 -0.555555555555556 -9.86623976961809e-17 0.866965759785718
+128 0 1 0 0 36 20 36 1.77777777777778 -9.86623976961809e-17 -0.444444444444444 -9.86623976961809e-17 0.876167092595071
+128 0 1 0 0 36 24 36 1.77777777777778 -9.86623976961809e-17 -0.333333333333333 -9.86623976961809e-17 0.889185421864397
+128 0 1 0 0 36 28 36 1.77777777777778 -9.86623976961809e-17 -0.222222222222222 -9.86623976961809e-17 0.907998184681559
+128 0 1 0 0 36 32 36 1.77777777777778 -9.86623976961809e-17 -0.111111111111111 -9.86623976961809e-17 0.924033489738888
+128 0 1 0 0 36 36 36 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 -9.86623976961809e-17 0.928389498223199
+128 0 1 0 0 36 40 36 1.77777777777778 -9.86623976961809e-17 0.111111111111111 -9.86623976961809e-17 0.924033489738888
+128 0 1 0 0 36 44 36 1.77777777777778 -9.86623976961809e-17 0.222222222222222 -9.86623976961809e-17 0.907998184681559
+128 0 1 0 0 36 48 36 1.77777777777778 -9.86623976961809e-17 0.333333333333333 -9.86623976961809e-17 0.889185421864397
+128 0 1 0 0 36 52 36 1.77777777777778 -9.86623976961809e-17 0.444444444444444 -9.86623976961809e-17 0.876167092595071
+128 0 1 0 0 36 56 36 1.77777777777778 -9.86623976961809e-17 0.555555555555555 -9.86623976961809e-17 0.866965759785718
+128 0 1 0 0 36 60 36 1.77777777777778 -9.86623976961809e-17 0.666666666666667 -9.86623976961809e-17 0.862560028606905
+128 0 1 0 0 36 64 36 1.77777777777778 -9.86623976961809e-17 0.777777777777778 -9.86623976961809e-17 0.862653663591007
+
+# iteration 128
+# refinement level 1 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 1 1 0 36 8 36 1.77777777777778 -5.55111512312578e-17 -0.777777777777778 -9.86623976961809e-17 0.862653663591007
+128 0 1 1 0 36 12 36 1.77777777777778 -5.55111512312578e-17 -0.666666666666667 -9.86623976961809e-17 0.862560028606905
+128 0 1 1 0 36 16 36 1.77777777777778 -5.55111512312578e-17 -0.555555555555556 -9.86623976961809e-17 0.866965759785718
+128 0 1 1 0 36 20 36 1.77777777777778 -5.55111512312578e-17 -0.444444444444444 -9.86623976961809e-17 0.876167092595071
+128 0 1 1 0 36 24 36 1.77777777777778 -5.55111512312578e-17 -0.333333333333333 -9.86623976961809e-17 0.889185421864397
+128 0 1 1 0 36 28 36 1.77777777777778 -5.55111512312578e-17 -0.222222222222222 -9.86623976961809e-17 0.907998184681559
+128 0 1 1 0 36 32 36 1.77777777777778 -5.55111512312578e-17 -0.111111111111111 -9.86623976961809e-17 0.924033489738888
+128 0 1 1 0 36 36 36 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -9.86623976961809e-17 0.928389498223199
+128 0 1 1 0 36 40 36 1.77777777777778 -5.55111512312578e-17 0.111111111111111 -9.86623976961809e-17 0.924033489738888
+128 0 1 1 0 36 44 36 1.77777777777778 -5.55111512312578e-17 0.222222222222222 -9.86623976961809e-17 0.907998184681559
+128 0 1 1 0 36 48 36 1.77777777777778 -5.55111512312578e-17 0.333333333333333 -9.86623976961809e-17 0.889185421864397
+128 0 1 1 0 36 52 36 1.77777777777778 -5.55111512312578e-17 0.444444444444444 -9.86623976961809e-17 0.876167092595071
+128 0 1 1 0 36 56 36 1.77777777777778 -5.55111512312578e-17 0.555555555555555 -9.86623976961809e-17 0.866965759785718
+128 0 1 1 0 36 60 36 1.77777777777778 -5.55111512312578e-17 0.666666666666667 -9.86623976961809e-17 0.862560028606905
+128 0 1 1 0 36 64 36 1.77777777777778 -5.55111512312578e-17 0.777777777777778 -9.86623976961809e-17 0.862653663591007
+
+# iteration 128
+# refinement level 1 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 1 2 0 36 8 36 1.77777777777778 -9.86623976961809e-17 -0.777777777777778 -5.55111512312578e-17 0.862653663591007
+128 0 1 2 0 36 12 36 1.77777777777778 -9.86623976961809e-17 -0.666666666666667 -5.55111512312578e-17 0.862560028606905
+128 0 1 2 0 36 16 36 1.77777777777778 -9.86623976961809e-17 -0.555555555555556 -5.55111512312578e-17 0.866965759785718
+128 0 1 2 0 36 20 36 1.77777777777778 -9.86623976961809e-17 -0.444444444444444 -5.55111512312578e-17 0.876167092595071
+128 0 1 2 0 36 24 36 1.77777777777778 -9.86623976961809e-17 -0.333333333333333 -5.55111512312578e-17 0.889185421864397
+128 0 1 2 0 36 28 36 1.77777777777778 -9.86623976961809e-17 -0.222222222222222 -5.55111512312578e-17 0.907998184681559
+128 0 1 2 0 36 32 36 1.77777777777778 -9.86623976961809e-17 -0.111111111111111 -5.55111512312578e-17 0.924033489738888
+128 0 1 2 0 36 36 36 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.928389498223199
+128 0 1 2 0 36 40 36 1.77777777777778 -9.86623976961809e-17 0.111111111111111 -5.55111512312578e-17 0.924033489738888
+128 0 1 2 0 36 44 36 1.77777777777778 -9.86623976961809e-17 0.222222222222222 -5.55111512312578e-17 0.907998184681559
+128 0 1 2 0 36 48 36 1.77777777777778 -9.86623976961809e-17 0.333333333333333 -5.55111512312578e-17 0.889185421864397
+128 0 1 2 0 36 52 36 1.77777777777778 -9.86623976961809e-17 0.444444444444444 -5.55111512312578e-17 0.876167092595071
+128 0 1 2 0 36 56 36 1.77777777777778 -9.86623976961809e-17 0.555555555555555 -5.55111512312578e-17 0.866965759785718
+128 0 1 2 0 36 60 36 1.77777777777778 -9.86623976961809e-17 0.666666666666667 -5.55111512312578e-17 0.862560028606905
+128 0 1 2 0 36 64 36 1.77777777777778 -9.86623976961809e-17 0.777777777777778 -5.55111512312578e-17 0.862653663591007
+
+# iteration 128
+# refinement level 1 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 1 3 0 36 8 36 1.77777777777778 -5.55111512312578e-17 -0.777777777777778 -5.55111512312578e-17 0.862653663591007
+128 0 1 3 0 36 12 36 1.77777777777778 -5.55111512312578e-17 -0.666666666666667 -5.55111512312578e-17 0.862560028606905
+128 0 1 3 0 36 16 36 1.77777777777778 -5.55111512312578e-17 -0.555555555555556 -5.55111512312578e-17 0.866965759785718
+128 0 1 3 0 36 20 36 1.77777777777778 -5.55111512312578e-17 -0.444444444444444 -5.55111512312578e-17 0.876167092595071
+128 0 1 3 0 36 24 36 1.77777777777778 -5.55111512312578e-17 -0.333333333333333 -5.55111512312578e-17 0.889185421864397
+128 0 1 3 0 36 28 36 1.77777777777778 -5.55111512312578e-17 -0.222222222222222 -5.55111512312578e-17 0.907998184681559
+128 0 1 3 0 36 32 36 1.77777777777778 -5.55111512312578e-17 -0.111111111111111 -5.55111512312578e-17 0.924033489738888
+128 0 1 3 0 36 36 36 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.928389498223199
+128 0 1 3 0 36 40 36 1.77777777777778 -5.55111512312578e-17 0.111111111111111 -5.55111512312578e-17 0.924033489738888
+128 0 1 3 0 36 44 36 1.77777777777778 -5.55111512312578e-17 0.222222222222222 -5.55111512312578e-17 0.907998184681559
+128 0 1 3 0 36 48 36 1.77777777777778 -5.55111512312578e-17 0.333333333333333 -5.55111512312578e-17 0.889185421864397
+128 0 1 3 0 36 52 36 1.77777777777778 -5.55111512312578e-17 0.444444444444444 -5.55111512312578e-17 0.876167092595071
+128 0 1 3 0 36 56 36 1.77777777777778 -5.55111512312578e-17 0.555555555555555 -5.55111512312578e-17 0.866965759785718
+128 0 1 3 0 36 60 36 1.77777777777778 -5.55111512312578e-17 0.666666666666667 -5.55111512312578e-17 0.862560028606905
+128 0 1 3 0 36 64 36 1.77777777777778 -5.55111512312578e-17 0.777777777777778 -5.55111512312578e-17 0.862653663591007
+
+
+# iteration 128
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 2 0 0 36 22 36 1.77777777777778 2.46655994240452e-17 -0.388888888888889 2.46655994240452e-17 0.882075542854246
+128 0 2 0 0 36 24 36 1.77777777777778 2.46655994240452e-17 -0.333333333333333 2.46655994240452e-17 0.889185421864397
+128 0 2 0 0 36 26 36 1.77777777777778 2.46655994240452e-17 -0.277777777777778 2.46655994240452e-17 0.898403242286228
+128 0 2 0 0 36 28 36 1.77777777777778 2.46655994240452e-17 -0.222222222222222 2.46655994240452e-17 0.907998184681559
+128 0 2 0 0 36 30 36 1.77777777777778 2.46655994240452e-17 -0.166666666666667 2.46655994240452e-17 0.916919384356027
+128 0 2 0 0 36 32 36 1.77777777777778 2.46655994240452e-17 -0.111111111111111 2.46655994240452e-17 0.924033489738888
+128 0 2 0 0 36 34 36 1.77777777777778 2.46655994240452e-17 -0.0555555555555556 2.46655994240452e-17 0.927485951077396
+128 0 2 0 0 36 36 36 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 2.46655994240452e-17 0.928389498223199
+128 0 2 0 0 36 38 36 1.77777777777778 2.46655994240452e-17 0.0555555555555555 2.46655994240452e-17 0.927485951077396
+128 0 2 0 0 36 40 36 1.77777777777778 2.46655994240452e-17 0.111111111111111 2.46655994240452e-17 0.924033489738888
+128 0 2 0 0 36 42 36 1.77777777777778 2.46655994240452e-17 0.166666666666667 2.46655994240452e-17 0.916919384356027
+128 0 2 0 0 36 44 36 1.77777777777778 2.46655994240452e-17 0.222222222222222 2.46655994240452e-17 0.907998184681559
+128 0 2 0 0 36 46 36 1.77777777777778 2.46655994240452e-17 0.277777777777778 2.46655994240452e-17 0.898403242286228
+128 0 2 0 0 36 48 36 1.77777777777778 2.46655994240452e-17 0.333333333333333 2.46655994240452e-17 0.889185421864397
+128 0 2 0 0 36 50 36 1.77777777777778 2.46655994240452e-17 0.388888888888889 2.46655994240452e-17 0.882075542854246
+
+# iteration 128
+# refinement level 2 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 2 1 0 36 22 36 1.77777777777778 -2.77555756156289e-17 -0.388888888888889 2.46655994240452e-17 0.882075542854246
+128 0 2 1 0 36 24 36 1.77777777777778 -2.77555756156289e-17 -0.333333333333333 2.46655994240452e-17 0.889185421864397
+128 0 2 1 0 36 26 36 1.77777777777778 -2.77555756156289e-17 -0.277777777777778 2.46655994240452e-17 0.898403242286228
+128 0 2 1 0 36 28 36 1.77777777777778 -2.77555756156289e-17 -0.222222222222222 2.46655994240452e-17 0.907998184681559
+128 0 2 1 0 36 30 36 1.77777777777778 -2.77555756156289e-17 -0.166666666666667 2.46655994240452e-17 0.916919384356027
+128 0 2 1 0 36 32 36 1.77777777777778 -2.77555756156289e-17 -0.111111111111111 2.46655994240452e-17 0.924033489738888
+128 0 2 1 0 36 34 36 1.77777777777778 -2.77555756156289e-17 -0.0555555555555556 2.46655994240452e-17 0.927485951077396
+128 0 2 1 0 36 36 36 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 2.46655994240452e-17 0.928389498223199
+128 0 2 1 0 36 38 36 1.77777777777778 -2.77555756156289e-17 0.0555555555555555 2.46655994240452e-17 0.927485951077396
+128 0 2 1 0 36 40 36 1.77777777777778 -2.77555756156289e-17 0.111111111111111 2.46655994240452e-17 0.924033489738888
+128 0 2 1 0 36 42 36 1.77777777777778 -2.77555756156289e-17 0.166666666666667 2.46655994240452e-17 0.916919384356027
+128 0 2 1 0 36 44 36 1.77777777777778 -2.77555756156289e-17 0.222222222222222 2.46655994240452e-17 0.907998184681559
+128 0 2 1 0 36 46 36 1.77777777777778 -2.77555756156289e-17 0.277777777777778 2.46655994240452e-17 0.898403242286228
+128 0 2 1 0 36 48 36 1.77777777777778 -2.77555756156289e-17 0.333333333333333 2.46655994240452e-17 0.889185421864397
+128 0 2 1 0 36 50 36 1.77777777777778 -2.77555756156289e-17 0.388888888888889 2.46655994240452e-17 0.882075542854246
+
+# iteration 128
+# refinement level 2 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 2 2 0 36 22 36 1.77777777777778 2.46655994240452e-17 -0.388888888888889 -2.77555756156289e-17 0.882075542854246
+128 0 2 2 0 36 24 36 1.77777777777778 2.46655994240452e-17 -0.333333333333333 -2.77555756156289e-17 0.889185421864397
+128 0 2 2 0 36 26 36 1.77777777777778 2.46655994240452e-17 -0.277777777777778 -2.77555756156289e-17 0.898403242286228
+128 0 2 2 0 36 28 36 1.77777777777778 2.46655994240452e-17 -0.222222222222222 -2.77555756156289e-17 0.907998184681559
+128 0 2 2 0 36 30 36 1.77777777777778 2.46655994240452e-17 -0.166666666666667 -2.77555756156289e-17 0.916919384356027
+128 0 2 2 0 36 32 36 1.77777777777778 2.46655994240452e-17 -0.111111111111111 -2.77555756156289e-17 0.924033489738888
+128 0 2 2 0 36 34 36 1.77777777777778 2.46655994240452e-17 -0.0555555555555556 -2.77555756156289e-17 0.927485951077396
+128 0 2 2 0 36 36 36 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 -2.77555756156289e-17 0.928389498223199
+128 0 2 2 0 36 38 36 1.77777777777778 2.46655994240452e-17 0.0555555555555555 -2.77555756156289e-17 0.927485951077396
+128 0 2 2 0 36 40 36 1.77777777777778 2.46655994240452e-17 0.111111111111111 -2.77555756156289e-17 0.924033489738888
+128 0 2 2 0 36 42 36 1.77777777777778 2.46655994240452e-17 0.166666666666667 -2.77555756156289e-17 0.916919384356027
+128 0 2 2 0 36 44 36 1.77777777777778 2.46655994240452e-17 0.222222222222222 -2.77555756156289e-17 0.907998184681559
+128 0 2 2 0 36 46 36 1.77777777777778 2.46655994240452e-17 0.277777777777778 -2.77555756156289e-17 0.898403242286228
+128 0 2 2 0 36 48 36 1.77777777777778 2.46655994240452e-17 0.333333333333333 -2.77555756156289e-17 0.889185421864397
+128 0 2 2 0 36 50 36 1.77777777777778 2.46655994240452e-17 0.388888888888889 -2.77555756156289e-17 0.882075542854246
+
+# iteration 128
+# refinement level 2 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 2 3 0 36 22 36 1.77777777777778 -2.77555756156289e-17 -0.388888888888889 -2.77555756156289e-17 0.882075542854246
+128 0 2 3 0 36 24 36 1.77777777777778 -2.77555756156289e-17 -0.333333333333333 -2.77555756156289e-17 0.889185421864397
+128 0 2 3 0 36 26 36 1.77777777777778 -2.77555756156289e-17 -0.277777777777778 -2.77555756156289e-17 0.898403242286228
+128 0 2 3 0 36 28 36 1.77777777777778 -2.77555756156289e-17 -0.222222222222222 -2.77555756156289e-17 0.907998184681559
+128 0 2 3 0 36 30 36 1.77777777777778 -2.77555756156289e-17 -0.166666666666667 -2.77555756156289e-17 0.916919384356027
+128 0 2 3 0 36 32 36 1.77777777777778 -2.77555756156289e-17 -0.111111111111111 -2.77555756156289e-17 0.924033489738888
+128 0 2 3 0 36 34 36 1.77777777777778 -2.77555756156289e-17 -0.0555555555555556 -2.77555756156289e-17 0.927485951077396
+128 0 2 3 0 36 36 36 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 -2.77555756156289e-17 0.928389498223199
+128 0 2 3 0 36 38 36 1.77777777777778 -2.77555756156289e-17 0.0555555555555555 -2.77555756156289e-17 0.927485951077396
+128 0 2 3 0 36 40 36 1.77777777777778 -2.77555756156289e-17 0.111111111111111 -2.77555756156289e-17 0.924033489738888
+128 0 2 3 0 36 42 36 1.77777777777778 -2.77555756156289e-17 0.166666666666667 -2.77555756156289e-17 0.916919384356027
+128 0 2 3 0 36 44 36 1.77777777777778 -2.77555756156289e-17 0.222222222222222 -2.77555756156289e-17 0.907998184681559
+128 0 2 3 0 36 46 36 1.77777777777778 -2.77555756156289e-17 0.277777777777778 -2.77555756156289e-17 0.898403242286228
+128 0 2 3 0 36 48 36 1.77777777777778 -2.77555756156289e-17 0.333333333333333 -2.77555756156289e-17 0.889185421864397
+128 0 2 3 0 36 50 36 1.77777777777778 -2.77555756156289e-17 0.388888888888889 -2.77555756156289e-17 0.882075542854246
+
+
+# iteration 128
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 3 0 0 36 29 36 1.77777777777778 0 -0.194444444444445 0 0.912613836832073
+128 0 3 0 0 36 30 36 1.77777777777778 0 -0.166666666666667 0 0.916919384356027
+128 0 3 0 0 36 31 36 1.77777777777778 0 -0.138888888888889 0 0.920818233193455
+128 0 3 0 0 36 32 36 1.77777777777778 0 -0.111111111111111 0 0.924033489738888
+128 0 3 0 0 36 33 36 1.77777777777778 0 -0.0833333333333334 0 0.926147880297958
+128 0 3 0 0 36 34 36 1.77777777777778 0 -0.0555555555555556 0 0.927485951077396
+128 0 3 0 0 36 35 36 1.77777777777778 0 -0.0277777777777778 0 0.928209975180567
+128 0 3 0 0 36 36 36 1.77777777777778 0 -5.55111512312578e-17 0 0.928389498223199
+128 0 3 0 0 36 37 36 1.77777777777778 0 0.0277777777777777 0 0.928209975180567
+128 0 3 0 0 36 38 36 1.77777777777778 0 0.0555555555555555 0 0.927485951077396
+128 0 3 0 0 36 39 36 1.77777777777778 0 0.0833333333333333 0 0.926147880297958
+128 0 3 0 0 36 40 36 1.77777777777778 0 0.111111111111111 0 0.924033489738888
+128 0 3 0 0 36 41 36 1.77777777777778 0 0.138888888888889 0 0.920818233193455
+128 0 3 0 0 36 42 36 1.77777777777778 0 0.166666666666667 0 0.916919384356027
+128 0 3 0 0 36 43 36 1.77777777777778 0 0.194444444444444 0 0.912613836832073
+
+# iteration 128
+# refinement level 3 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 3 1 0 36 29 36 1.77777777777778 -1.38777878078145e-17 -0.194444444444445 0 0.912613836832073
+128 0 3 1 0 36 30 36 1.77777777777778 -1.38777878078145e-17 -0.166666666666667 0 0.916919384356027
+128 0 3 1 0 36 31 36 1.77777777777778 -1.38777878078145e-17 -0.138888888888889 0 0.920818233193455
+128 0 3 1 0 36 32 36 1.77777777777778 -1.38777878078145e-17 -0.111111111111111 0 0.924033489738888
+128 0 3 1 0 36 33 36 1.77777777777778 -1.38777878078145e-17 -0.0833333333333334 0 0.926147880297958
+128 0 3 1 0 36 34 36 1.77777777777778 -1.38777878078145e-17 -0.0555555555555556 0 0.927485951077396
+128 0 3 1 0 36 35 36 1.77777777777778 -1.38777878078145e-17 -0.0277777777777778 0 0.928209975180567
+128 0 3 1 0 36 36 36 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 0 0.928389498223199
+128 0 3 1 0 36 37 36 1.77777777777778 -1.38777878078145e-17 0.0277777777777777 0 0.928209975180567
+128 0 3 1 0 36 38 36 1.77777777777778 -1.38777878078145e-17 0.0555555555555555 0 0.927485951077396
+128 0 3 1 0 36 39 36 1.77777777777778 -1.38777878078145e-17 0.0833333333333333 0 0.926147880297958
+128 0 3 1 0 36 40 36 1.77777777777778 -1.38777878078145e-17 0.111111111111111 0 0.924033489738888
+128 0 3 1 0 36 41 36 1.77777777777778 -1.38777878078145e-17 0.138888888888889 0 0.920818233193455
+128 0 3 1 0 36 42 36 1.77777777777778 -1.38777878078145e-17 0.166666666666667 0 0.916919384356027
+128 0 3 1 0 36 43 36 1.77777777777778 -1.38777878078145e-17 0.194444444444444 0 0.912613836832073
+
+# iteration 128
+# refinement level 3 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 3 2 0 36 29 36 1.77777777777778 0 -0.194444444444445 -1.38777878078145e-17 0.912613836832073
+128 0 3 2 0 36 30 36 1.77777777777778 0 -0.166666666666667 -1.38777878078145e-17 0.916919384356027
+128 0 3 2 0 36 31 36 1.77777777777778 0 -0.138888888888889 -1.38777878078145e-17 0.920818233193455
+128 0 3 2 0 36 32 36 1.77777777777778 0 -0.111111111111111 -1.38777878078145e-17 0.924033489738888
+128 0 3 2 0 36 33 36 1.77777777777778 0 -0.0833333333333334 -1.38777878078145e-17 0.926147880297958
+128 0 3 2 0 36 34 36 1.77777777777778 0 -0.0555555555555556 -1.38777878078145e-17 0.927485951077396
+128 0 3 2 0 36 35 36 1.77777777777778 0 -0.0277777777777778 -1.38777878078145e-17 0.928209975180567
+128 0 3 2 0 36 36 36 1.77777777777778 0 -5.55111512312578e-17 -1.38777878078145e-17 0.928389498223199
+128 0 3 2 0 36 37 36 1.77777777777778 0 0.0277777777777777 -1.38777878078145e-17 0.928209975180567
+128 0 3 2 0 36 38 36 1.77777777777778 0 0.0555555555555555 -1.38777878078145e-17 0.927485951077396
+128 0 3 2 0 36 39 36 1.77777777777778 0 0.0833333333333333 -1.38777878078145e-17 0.926147880297958
+128 0 3 2 0 36 40 36 1.77777777777778 0 0.111111111111111 -1.38777878078145e-17 0.924033489738888
+128 0 3 2 0 36 41 36 1.77777777777778 0 0.138888888888889 -1.38777878078145e-17 0.920818233193455
+128 0 3 2 0 36 42 36 1.77777777777778 0 0.166666666666667 -1.38777878078145e-17 0.916919384356027
+128 0 3 2 0 36 43 36 1.77777777777778 0 0.194444444444444 -1.38777878078145e-17 0.912613836832073
+
+# iteration 128
+# refinement level 3 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 3 3 0 36 29 36 1.77777777777778 -1.38777878078145e-17 -0.194444444444445 -1.38777878078145e-17 0.912613836832073
+128 0 3 3 0 36 30 36 1.77777777777778 -1.38777878078145e-17 -0.166666666666667 -1.38777878078145e-17 0.916919384356027
+128 0 3 3 0 36 31 36 1.77777777777778 -1.38777878078145e-17 -0.138888888888889 -1.38777878078145e-17 0.920818233193455
+128 0 3 3 0 36 32 36 1.77777777777778 -1.38777878078145e-17 -0.111111111111111 -1.38777878078145e-17 0.924033489738888
+128 0 3 3 0 36 33 36 1.77777777777778 -1.38777878078145e-17 -0.0833333333333334 -1.38777878078145e-17 0.926147880297958
+128 0 3 3 0 36 34 36 1.77777777777778 -1.38777878078145e-17 -0.0555555555555556 -1.38777878078145e-17 0.927485951077396
+128 0 3 3 0 36 35 36 1.77777777777778 -1.38777878078145e-17 -0.0277777777777778 -1.38777878078145e-17 0.928209975180567
+128 0 3 3 0 36 36 36 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 -1.38777878078145e-17 0.928389498223199
+128 0 3 3 0 36 37 36 1.77777777777778 -1.38777878078145e-17 0.0277777777777777 -1.38777878078145e-17 0.928209975180567
+128 0 3 3 0 36 38 36 1.77777777777778 -1.38777878078145e-17 0.0555555555555555 -1.38777878078145e-17 0.927485951077396
+128 0 3 3 0 36 39 36 1.77777777777778 -1.38777878078145e-17 0.0833333333333333 -1.38777878078145e-17 0.926147880297958
+128 0 3 3 0 36 40 36 1.77777777777778 -1.38777878078145e-17 0.111111111111111 -1.38777878078145e-17 0.924033489738888
+128 0 3 3 0 36 41 36 1.77777777777778 -1.38777878078145e-17 0.138888888888889 -1.38777878078145e-17 0.920818233193455
+128 0 3 3 0 36 42 36 1.77777777777778 -1.38777878078145e-17 0.166666666666667 -1.38777878078145e-17 0.916919384356027
+128 0 3 3 0 36 43 36 1.77777777777778 -1.38777878078145e-17 0.194444444444444 -1.38777878078145e-17 0.912613836832073
+
+
diff --git a/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi.z.asc b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi.z.asc
new file mode 100644
index 000000000..343b8054b
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi.z.asc
@@ -0,0 +1,632 @@
+# WAVETOY::phi z (phi)
+#
+# iteration 64
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 0 0 0 40 40 0 0.888888888888889 0.111111111111111 0.111111111111111 -1 0.873700996777018
+64 0 0 0 0 40 40 8 0.888888888888889 0.111111111111111 0.111111111111111 -0.777777777777778 0.807676282684182
+64 0 0 0 0 40 40 16 0.888888888888889 0.111111111111111 0.111111111111111 -0.555555555555556 0.756699260944861
+64 0 0 0 0 40 40 24 0.888888888888889 0.111111111111111 0.111111111111111 -0.333333333333333 0.730294733882952
+64 0 0 0 0 40 40 32 0.888888888888889 0.111111111111111 0.111111111111111 -0.111111111111111 0.725539249473295
+64 0 0 0 0 40 40 40 0.888888888888889 0.111111111111111 0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 0 0 40 40 48 0.888888888888889 0.111111111111111 0.111111111111111 0.333333333333333 0.730294733882952
+
+# iteration 64
+# refinement level 0 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 0 1 0 40 40 0 0.888888888888889 0.111111111111111 0.111111111111111 -1 0.873700996777018
+64 0 0 1 0 40 40 8 0.888888888888889 0.111111111111111 0.111111111111111 -0.777777777777778 0.807676282684182
+64 0 0 1 0 40 40 16 0.888888888888889 0.111111111111111 0.111111111111111 -0.555555555555556 0.756699260944861
+64 0 0 1 0 40 40 24 0.888888888888889 0.111111111111111 0.111111111111111 -0.333333333333333 0.730294733882952
+64 0 0 1 0 40 40 32 0.888888888888889 0.111111111111111 0.111111111111111 -0.111111111111111 0.725539249473295
+64 0 0 1 0 40 40 40 0.888888888888889 0.111111111111111 0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 1 0 40 40 48 0.888888888888889 0.111111111111111 0.111111111111111 0.333333333333333 0.730294733882952
+
+# iteration 64
+# refinement level 0 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 0 2 0 40 40 24 0.888888888888889 0.111111111111111 0.111111111111111 -0.333333333333333 0.730294733882952
+64 0 0 2 0 40 40 32 0.888888888888889 0.111111111111111 0.111111111111111 -0.111111111111111 0.725539249473295
+64 0 0 2 0 40 40 40 0.888888888888889 0.111111111111111 0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 2 0 40 40 48 0.888888888888889 0.111111111111111 0.111111111111111 0.333333333333333 0.730294733882952
+64 0 0 2 0 40 40 56 0.888888888888889 0.111111111111111 0.111111111111111 0.555555555555556 0.756699260944861
+64 0 0 2 0 40 40 64 0.888888888888889 0.111111111111111 0.111111111111111 0.777777777777778 0.807676282684182
+64 0 0 2 0 40 40 72 0.888888888888889 0.111111111111111 0.111111111111111 1 0.873700996777018
+
+# iteration 64
+# refinement level 0 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 0 3 0 40 40 24 0.888888888888889 0.111111111111111 0.111111111111111 -0.333333333333333 0.730294733882952
+64 0 0 3 0 40 40 32 0.888888888888889 0.111111111111111 0.111111111111111 -0.111111111111111 0.725539249473295
+64 0 0 3 0 40 40 40 0.888888888888889 0.111111111111111 0.111111111111111 0.111111111111111 0.725539249473295
+64 0 0 3 0 40 40 48 0.888888888888889 0.111111111111111 0.111111111111111 0.333333333333333 0.730294733882952
+64 0 0 3 0 40 40 56 0.888888888888889 0.111111111111111 0.111111111111111 0.555555555555556 0.756699260944861
+64 0 0 3 0 40 40 64 0.888888888888889 0.111111111111111 0.111111111111111 0.777777777777778 0.807676282684182
+64 0 0 3 0 40 40 72 0.888888888888889 0.111111111111111 0.111111111111111 1 0.873700996777018
+
+
+# iteration 64
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 1 0 0 36 36 8 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 -0.777777777777778 0.808379332677938
+64 0 1 0 0 36 36 12 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 -0.666666666666667 0.779665123251562
+64 0 1 0 0 36 36 16 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 -0.555555555555556 0.756097245006156
+64 0 1 0 0 36 36 20 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 -0.444444444444444 0.739694852518638
+64 0 1 0 0 36 36 24 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 -0.333333333333333 0.729218296316213
+64 0 1 0 0 36 36 28 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 -0.222222222222222 0.725100663327574
+64 0 1 0 0 36 36 32 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 -0.111111111111111 0.724342898925177
+64 0 1 0 0 36 36 36 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 -9.86623976961809e-17 0.723733474251298
+64 0 1 0 0 36 36 40 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 0.111111111111111 0.724342898925177
+64 0 1 0 0 36 36 44 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 0.222222222222222 0.725100663327574
+
+# iteration 64
+# refinement level 1 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 1 1 0 36 36 8 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.777777777777778 0.808379332677938
+64 0 1 1 0 36 36 12 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.666666666666667 0.779665123251562
+64 0 1 1 0 36 36 16 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.555555555555556 0.756097245006156
+64 0 1 1 0 36 36 20 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.444444444444444 0.739694852518638
+64 0 1 1 0 36 36 24 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.333333333333333 0.729218296316213
+64 0 1 1 0 36 36 28 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.222222222222222 0.725100663327574
+64 0 1 1 0 36 36 32 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.111111111111111 0.724342898925177
+64 0 1 1 0 36 36 36 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -9.86623976961809e-17 0.723733474251298
+64 0 1 1 0 36 36 40 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.111111111111111 0.724342898925177
+64 0 1 1 0 36 36 44 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.222222222222222 0.725100663327574
+
+# iteration 64
+# refinement level 1 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 1 2 0 36 36 32 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 -0.111111111111111 0.724342898925177
+64 0 1 2 0 36 36 36 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.723733474251298
+64 0 1 2 0 36 36 40 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 0.111111111111111 0.724342898925177
+64 0 1 2 0 36 36 44 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 0.222222222222222 0.725100663327574
+64 0 1 2 0 36 36 48 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 0.333333333333333 0.729218296316213
+64 0 1 2 0 36 36 52 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 0.444444444444444 0.739694852518638
+64 0 1 2 0 36 36 56 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 0.555555555555555 0.756097245006155
+64 0 1 2 0 36 36 60 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 0.666666666666667 0.779665123251561
+64 0 1 2 0 36 36 64 0.888888888888889 -9.86623976961809e-17 -5.55111512312578e-17 0.777777777777778 0.808379332677938
+
+# iteration 64
+# refinement level 1 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 1 3 0 36 36 32 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -0.111111111111111 0.724342898925177
+64 0 1 3 0 36 36 36 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.723733474251298
+64 0 1 3 0 36 36 40 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.111111111111111 0.724342898925177
+64 0 1 3 0 36 36 44 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.222222222222222 0.725100663327574
+64 0 1 3 0 36 36 48 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.333333333333333 0.729218296316213
+64 0 1 3 0 36 36 52 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.444444444444444 0.739694852518638
+64 0 1 3 0 36 36 56 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.555555555555555 0.756097245006155
+64 0 1 3 0 36 36 60 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.666666666666667 0.779665123251561
+64 0 1 3 0 36 36 64 0.888888888888889 -5.55111512312578e-17 -5.55111512312578e-17 0.777777777777778 0.808379332677938
+
+
+# iteration 64
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 2 0 0 36 36 22 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 -0.388888888888889 0.733688776948746
+64 0 2 0 0 36 36 24 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 -0.333333333333333 0.729218296316213
+64 0 2 0 0 36 36 26 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 -0.277777777777778 0.726552055334392
+64 0 2 0 0 36 36 28 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 -0.222222222222222 0.725100663327574
+64 0 2 0 0 36 36 30 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 -0.166666666666667 0.724502518106703
+64 0 2 0 0 36 36 32 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 -0.111111111111111 0.724342898925177
+64 0 2 0 0 36 36 34 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 -0.0555555555555555 0.72395273727097
+64 0 2 0 0 36 36 36 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 2.46655994240452e-17 0.723733474251298
+64 0 2 0 0 36 36 38 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 0.0555555555555556 0.72395273727097
+64 0 2 0 0 36 36 40 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 0.111111111111111 0.724342898925177
+
+# iteration 64
+# refinement level 2 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 2 1 0 36 36 22 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 -0.388888888888889 0.733688776948746
+64 0 2 1 0 36 36 24 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 -0.333333333333333 0.729218296316213
+64 0 2 1 0 36 36 26 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 -0.277777777777778 0.726552055334392
+64 0 2 1 0 36 36 28 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 -0.222222222222222 0.725100663327574
+64 0 2 1 0 36 36 30 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 -0.166666666666667 0.724502518106703
+64 0 2 1 0 36 36 32 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 -0.111111111111111 0.724342898925177
+64 0 2 1 0 36 36 34 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 -0.0555555555555555 0.72395273727097
+64 0 2 1 0 36 36 36 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 2.46655994240452e-17 0.723733474251298
+64 0 2 1 0 36 36 38 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 0.0555555555555556 0.72395273727097
+64 0 2 1 0 36 36 40 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 0.111111111111111 0.724342898925177
+
+# iteration 64
+# refinement level 2 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 2 2 0 36 36 34 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 -0.0555555555555556 0.72395273727097
+64 0 2 2 0 36 36 36 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 -2.77555756156289e-17 0.723733474251298
+64 0 2 2 0 36 36 38 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 0.0555555555555555 0.72395273727097
+64 0 2 2 0 36 36 40 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 0.111111111111111 0.724342898925177
+64 0 2 2 0 36 36 42 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 0.166666666666667 0.724502518106703
+64 0 2 2 0 36 36 44 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 0.222222222222222 0.725100663327574
+64 0 2 2 0 36 36 46 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 0.277777777777778 0.726552055334391
+64 0 2 2 0 36 36 48 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 0.333333333333333 0.729218296316213
+64 0 2 2 0 36 36 50 0.888888888888889 2.46655994240452e-17 -5.55111512312578e-17 0.388888888888889 0.733688776948745
+
+# iteration 64
+# refinement level 2 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 2 3 0 36 36 34 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 -0.0555555555555556 0.72395273727097
+64 0 2 3 0 36 36 36 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 -2.77555756156289e-17 0.723733474251298
+64 0 2 3 0 36 36 38 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 0.0555555555555555 0.72395273727097
+64 0 2 3 0 36 36 40 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 0.111111111111111 0.724342898925177
+64 0 2 3 0 36 36 42 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 0.166666666666667 0.724502518106703
+64 0 2 3 0 36 36 44 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 0.222222222222222 0.725100663327574
+64 0 2 3 0 36 36 46 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 0.277777777777778 0.726552055334391
+64 0 2 3 0 36 36 48 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 0.333333333333333 0.729218296316213
+64 0 2 3 0 36 36 50 0.888888888888889 -2.77555756156289e-17 -5.55111512312578e-17 0.388888888888889 0.733688776948745
+
+
+# iteration 64
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 3 0 0 36 36 29 0.888888888888889 0 -5.55111512312578e-17 -0.194444444444445 0.724720854915558
+64 0 3 0 0 36 36 30 0.888888888888889 0 -5.55111512312578e-17 -0.166666666666667 0.724502518106703
+64 0 3 0 0 36 36 31 0.888888888888889 0 -5.55111512312578e-17 -0.138888888888889 0.724409709543024
+64 0 3 0 0 36 36 32 0.888888888888889 0 -5.55111512312578e-17 -0.111111111111111 0.724342898925177
+64 0 3 0 0 36 36 33 0.888888888888889 0 -5.55111512312578e-17 -0.0833333333333334 0.724151545837958
+64 0 3 0 0 36 36 34 0.888888888888889 0 -5.55111512312578e-17 -0.0555555555555556 0.72395273727097
+64 0 3 0 0 36 36 35 0.888888888888889 0 -5.55111512312578e-17 -0.0277777777777778 0.723805016719017
+64 0 3 0 0 36 36 36 0.888888888888889 0 -5.55111512312578e-17 0 0.723733474251298
+64 0 3 0 0 36 36 37 0.888888888888889 0 -5.55111512312578e-17 0.0277777777777778 0.723805016719017
+64 0 3 0 0 36 36 38 0.888888888888889 0 -5.55111512312578e-17 0.0555555555555556 0.72395273727097
+
+# iteration 64
+# refinement level 3 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 3 1 0 36 36 29 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 -0.194444444444445 0.724720854915558
+64 0 3 1 0 36 36 30 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 -0.166666666666667 0.724502518106703
+64 0 3 1 0 36 36 31 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 -0.138888888888889 0.724409709543024
+64 0 3 1 0 36 36 32 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 -0.111111111111111 0.724342898925177
+64 0 3 1 0 36 36 33 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 -0.0833333333333334 0.724151545837958
+64 0 3 1 0 36 36 34 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 -0.0555555555555556 0.72395273727097
+64 0 3 1 0 36 36 35 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 -0.0277777777777778 0.723805016719017
+64 0 3 1 0 36 36 36 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 0 0.723733474251298
+64 0 3 1 0 36 36 37 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 0.0277777777777778 0.723805016719017
+64 0 3 1 0 36 36 38 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 0.0555555555555556 0.72395273727097
+
+# iteration 64
+# refinement level 3 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 3 2 0 36 36 35 0.888888888888889 0 -5.55111512312578e-17 -0.0277777777777778 0.723805016719017
+64 0 3 2 0 36 36 36 0.888888888888889 0 -5.55111512312578e-17 -1.38777878078145e-17 0.723733474251298
+64 0 3 2 0 36 36 37 0.888888888888889 0 -5.55111512312578e-17 0.0277777777777778 0.723805016719017
+64 0 3 2 0 36 36 38 0.888888888888889 0 -5.55111512312578e-17 0.0555555555555555 0.72395273727097
+64 0 3 2 0 36 36 39 0.888888888888889 0 -5.55111512312578e-17 0.0833333333333333 0.724151545837958
+64 0 3 2 0 36 36 40 0.888888888888889 0 -5.55111512312578e-17 0.111111111111111 0.724342898925177
+64 0 3 2 0 36 36 41 0.888888888888889 0 -5.55111512312578e-17 0.138888888888889 0.724409709543024
+64 0 3 2 0 36 36 42 0.888888888888889 0 -5.55111512312578e-17 0.166666666666667 0.724502518106703
+64 0 3 2 0 36 36 43 0.888888888888889 0 -5.55111512312578e-17 0.194444444444444 0.724720854915557
+
+# iteration 64
+# refinement level 3 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+64 0 3 3 0 36 36 35 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 -0.0277777777777778 0.723805016719017
+64 0 3 3 0 36 36 36 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 -1.38777878078145e-17 0.723733474251298
+64 0 3 3 0 36 36 37 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 0.0277777777777778 0.723805016719017
+64 0 3 3 0 36 36 38 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 0.0555555555555555 0.72395273727097
+64 0 3 3 0 36 36 39 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 0.0833333333333333 0.724151545837958
+64 0 3 3 0 36 36 40 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 0.111111111111111 0.724342898925177
+64 0 3 3 0 36 36 41 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 0.138888888888889 0.724409709543024
+64 0 3 3 0 36 36 42 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 0.166666666666667 0.724502518106703
+64 0 3 3 0 36 36 43 0.888888888888889 -1.38777878078145e-17 -5.55111512312578e-17 0.194444444444444 0.724720854915557
+
+
+# iteration 96
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 0 0 0 40 40 0 1.33333333333333 0.111111111111111 0.111111111111111 -1 0.877480603359996
+96 0 0 0 0 40 40 8 1.33333333333333 0.111111111111111 0.111111111111111 -0.777777777777778 0.798008089475601
+96 0 0 0 0 40 40 16 1.33333333333333 0.111111111111111 0.111111111111111 -0.555555555555556 0.735090597558599
+96 0 0 0 0 40 40 24 1.33333333333333 0.111111111111111 0.111111111111111 -0.333333333333333 0.677899959110667
+96 0 0 0 0 40 40 32 1.33333333333333 0.111111111111111 0.111111111111111 -0.111111111111111 0.632828813666694
+96 0 0 0 0 40 40 40 1.33333333333333 0.111111111111111 0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 0 0 40 40 48 1.33333333333333 0.111111111111111 0.111111111111111 0.333333333333333 0.677899959110667
+
+# iteration 96
+# refinement level 0 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 0 1 0 40 40 0 1.33333333333333 0.111111111111111 0.111111111111111 -1 0.877480603359996
+96 0 0 1 0 40 40 8 1.33333333333333 0.111111111111111 0.111111111111111 -0.777777777777778 0.798008089475601
+96 0 0 1 0 40 40 16 1.33333333333333 0.111111111111111 0.111111111111111 -0.555555555555556 0.735090597558599
+96 0 0 1 0 40 40 24 1.33333333333333 0.111111111111111 0.111111111111111 -0.333333333333333 0.677899959110667
+96 0 0 1 0 40 40 32 1.33333333333333 0.111111111111111 0.111111111111111 -0.111111111111111 0.632828813666694
+96 0 0 1 0 40 40 40 1.33333333333333 0.111111111111111 0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 1 0 40 40 48 1.33333333333333 0.111111111111111 0.111111111111111 0.333333333333333 0.677899959110667
+
+# iteration 96
+# refinement level 0 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 0 2 0 40 40 24 1.33333333333333 0.111111111111111 0.111111111111111 -0.333333333333333 0.677899959110667
+96 0 0 2 0 40 40 32 1.33333333333333 0.111111111111111 0.111111111111111 -0.111111111111111 0.632828813666694
+96 0 0 2 0 40 40 40 1.33333333333333 0.111111111111111 0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 2 0 40 40 48 1.33333333333333 0.111111111111111 0.111111111111111 0.333333333333333 0.677899959110667
+96 0 0 2 0 40 40 56 1.33333333333333 0.111111111111111 0.111111111111111 0.555555555555556 0.735090597558599
+96 0 0 2 0 40 40 64 1.33333333333333 0.111111111111111 0.111111111111111 0.777777777777778 0.798008089475601
+96 0 0 2 0 40 40 72 1.33333333333333 0.111111111111111 0.111111111111111 1 0.877480603359996
+
+# iteration 96
+# refinement level 0 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 0 3 0 40 40 24 1.33333333333333 0.111111111111111 0.111111111111111 -0.333333333333333 0.677899959110667
+96 0 0 3 0 40 40 32 1.33333333333333 0.111111111111111 0.111111111111111 -0.111111111111111 0.632828813666694
+96 0 0 3 0 40 40 40 1.33333333333333 0.111111111111111 0.111111111111111 0.111111111111111 0.632828813666694
+96 0 0 3 0 40 40 48 1.33333333333333 0.111111111111111 0.111111111111111 0.333333333333333 0.677899959110667
+96 0 0 3 0 40 40 56 1.33333333333333 0.111111111111111 0.111111111111111 0.555555555555556 0.735090597558599
+96 0 0 3 0 40 40 64 1.33333333333333 0.111111111111111 0.111111111111111 0.777777777777778 0.798008089475601
+96 0 0 3 0 40 40 72 1.33333333333333 0.111111111111111 0.111111111111111 1 0.877480603359996
+
+
+# iteration 96
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 1 0 0 36 36 8 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 -0.777777777777778 0.796688784792057
+96 0 1 0 0 36 36 12 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 -0.666666666666667 0.76190136189151
+96 0 1 0 0 36 36 16 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 -0.555555555555556 0.729928937348657
+96 0 1 0 0 36 36 20 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 -0.444444444444444 0.698215010923196
+96 0 1 0 0 36 36 24 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 -0.333333333333333 0.668908746807157
+96 0 1 0 0 36 36 28 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 -0.222222222222222 0.641345710414296
+96 0 1 0 0 36 36 32 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 -0.111111111111111 0.621410197839124
+96 0 1 0 0 36 36 36 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 -9.86623976961809e-17 0.61547287921812
+96 0 1 0 0 36 36 40 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 0.111111111111111 0.621410197839124
+96 0 1 0 0 36 36 44 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 0.222222222222222 0.641345710414297
+
+# iteration 96
+# refinement level 1 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 1 1 0 36 36 8 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.777777777777778 0.796688784792057
+96 0 1 1 0 36 36 12 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.666666666666667 0.76190136189151
+96 0 1 1 0 36 36 16 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.555555555555556 0.729928937348657
+96 0 1 1 0 36 36 20 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.444444444444444 0.698215010923196
+96 0 1 1 0 36 36 24 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.333333333333333 0.668908746807157
+96 0 1 1 0 36 36 28 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.222222222222222 0.641345710414296
+96 0 1 1 0 36 36 32 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.111111111111111 0.621410197839124
+96 0 1 1 0 36 36 36 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -9.86623976961809e-17 0.61547287921812
+96 0 1 1 0 36 36 40 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.111111111111111 0.621410197839124
+96 0 1 1 0 36 36 44 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.222222222222222 0.641345710414297
+
+# iteration 96
+# refinement level 1 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 1 2 0 36 36 32 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 -0.111111111111111 0.621410197839124
+96 0 1 2 0 36 36 36 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.61547287921812
+96 0 1 2 0 36 36 40 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 0.111111111111111 0.621410197839124
+96 0 1 2 0 36 36 44 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 0.222222222222222 0.641345710414297
+96 0 1 2 0 36 36 48 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 0.333333333333333 0.668908746807157
+96 0 1 2 0 36 36 52 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 0.444444444444444 0.698215010923196
+96 0 1 2 0 36 36 56 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 0.555555555555555 0.729928937348657
+96 0 1 2 0 36 36 60 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 0.666666666666667 0.76190136189151
+96 0 1 2 0 36 36 64 1.33333333333333 -9.86623976961809e-17 -5.55111512312578e-17 0.777777777777778 0.796688784792057
+
+# iteration 96
+# refinement level 1 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 1 3 0 36 36 32 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -0.111111111111111 0.621410197839124
+96 0 1 3 0 36 36 36 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.61547287921812
+96 0 1 3 0 36 36 40 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.111111111111111 0.621410197839124
+96 0 1 3 0 36 36 44 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.222222222222222 0.641345710414297
+96 0 1 3 0 36 36 48 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.333333333333333 0.668908746807157
+96 0 1 3 0 36 36 52 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.444444444444444 0.698215010923196
+96 0 1 3 0 36 36 56 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.555555555555555 0.729928937348657
+96 0 1 3 0 36 36 60 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.666666666666667 0.76190136189151
+96 0 1 3 0 36 36 64 1.33333333333333 -5.55111512312578e-17 -5.55111512312578e-17 0.777777777777778 0.796688784792057
+
+
+# iteration 96
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 2 0 0 36 36 22 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 -0.388888888888889 0.683302448238139
+96 0 2 0 0 36 36 24 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 -0.333333333333333 0.668908746807157
+96 0 2 0 0 36 36 26 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 -0.277777777777778 0.654541556639422
+96 0 2 0 0 36 36 28 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 -0.222222222222222 0.641345710414296
+96 0 2 0 0 36 36 30 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 -0.166666666666667 0.630026346765969
+96 0 2 0 0 36 36 32 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 -0.111111111111111 0.621410197839124
+96 0 2 0 0 36 36 34 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 -0.0555555555555555 0.616824486578861
+96 0 2 0 0 36 36 36 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 2.46655994240452e-17 0.61547287921812
+96 0 2 0 0 36 36 38 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 0.0555555555555556 0.616824486578861
+96 0 2 0 0 36 36 40 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 0.111111111111111 0.621410197839124
+
+# iteration 96
+# refinement level 2 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 2 1 0 36 36 22 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 -0.388888888888889 0.683302448238139
+96 0 2 1 0 36 36 24 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 -0.333333333333333 0.668908746807157
+96 0 2 1 0 36 36 26 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 -0.277777777777778 0.654541556639422
+96 0 2 1 0 36 36 28 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 -0.222222222222222 0.641345710414296
+96 0 2 1 0 36 36 30 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 -0.166666666666667 0.630026346765969
+96 0 2 1 0 36 36 32 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 -0.111111111111111 0.621410197839124
+96 0 2 1 0 36 36 34 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 -0.0555555555555555 0.616824486578861
+96 0 2 1 0 36 36 36 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 2.46655994240452e-17 0.61547287921812
+96 0 2 1 0 36 36 38 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 0.0555555555555556 0.616824486578861
+96 0 2 1 0 36 36 40 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 0.111111111111111 0.621410197839124
+
+# iteration 96
+# refinement level 2 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 2 2 0 36 36 34 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 -0.0555555555555556 0.616824486578861
+96 0 2 2 0 36 36 36 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 -2.77555756156289e-17 0.61547287921812
+96 0 2 2 0 36 36 38 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 0.0555555555555555 0.616824486578861
+96 0 2 2 0 36 36 40 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 0.111111111111111 0.621410197839124
+96 0 2 2 0 36 36 42 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 0.166666666666667 0.63002634676597
+96 0 2 2 0 36 36 44 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 0.222222222222222 0.641345710414297
+96 0 2 2 0 36 36 46 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 0.277777777777778 0.654541556639422
+96 0 2 2 0 36 36 48 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 0.333333333333333 0.668908746807157
+96 0 2 2 0 36 36 50 1.33333333333333 2.46655994240452e-17 -5.55111512312578e-17 0.388888888888889 0.683302448238139
+
+# iteration 96
+# refinement level 2 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 2 3 0 36 36 34 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 -0.0555555555555556 0.616824486578861
+96 0 2 3 0 36 36 36 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 -2.77555756156289e-17 0.61547287921812
+96 0 2 3 0 36 36 38 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 0.0555555555555555 0.616824486578861
+96 0 2 3 0 36 36 40 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 0.111111111111111 0.621410197839124
+96 0 2 3 0 36 36 42 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 0.166666666666667 0.63002634676597
+96 0 2 3 0 36 36 44 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 0.222222222222222 0.641345710414297
+96 0 2 3 0 36 36 46 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 0.277777777777778 0.654541556639422
+96 0 2 3 0 36 36 48 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 0.333333333333333 0.668908746807157
+96 0 2 3 0 36 36 50 1.33333333333333 -2.77555756156289e-17 -5.55111512312578e-17 0.388888888888889 0.683302448238139
+
+
+# iteration 96
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 3 0 0 36 36 29 1.33333333333333 0 -5.55111512312578e-17 -0.194444444444445 0.63539979750899
+96 0 3 0 0 36 36 30 1.33333333333333 0 -5.55111512312578e-17 -0.166666666666667 0.630026346765969
+96 0 3 0 0 36 36 31 1.33333333333333 0 -5.55111512312578e-17 -0.138888888888889 0.625297419028293
+96 0 3 0 0 36 36 32 1.33333333333333 0 -5.55111512312578e-17 -0.111111111111111 0.621410197839124
+96 0 3 0 0 36 36 33 1.33333333333333 0 -5.55111512312578e-17 -0.0833333333333334 0.618663308361111
+96 0 3 0 0 36 36 34 1.33333333333333 0 -5.55111512312578e-17 -0.0555555555555556 0.616824486578861
+96 0 3 0 0 36 36 35 1.33333333333333 0 -5.55111512312578e-17 -0.0277777777777778 0.615777600484678
+96 0 3 0 0 36 36 36 1.33333333333333 0 -5.55111512312578e-17 0 0.61547287921812
+96 0 3 0 0 36 36 37 1.33333333333333 0 -5.55111512312578e-17 0.0277777777777778 0.615777600484678
+96 0 3 0 0 36 36 38 1.33333333333333 0 -5.55111512312578e-17 0.0555555555555556 0.616824486578861
+
+# iteration 96
+# refinement level 3 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 3 1 0 36 36 29 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 -0.194444444444445 0.63539979750899
+96 0 3 1 0 36 36 30 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 -0.166666666666667 0.630026346765969
+96 0 3 1 0 36 36 31 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 -0.138888888888889 0.625297419028293
+96 0 3 1 0 36 36 32 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 -0.111111111111111 0.621410197839124
+96 0 3 1 0 36 36 33 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 -0.0833333333333334 0.618663308361111
+96 0 3 1 0 36 36 34 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 -0.0555555555555556 0.616824486578861
+96 0 3 1 0 36 36 35 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 -0.0277777777777778 0.615777600484678
+96 0 3 1 0 36 36 36 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 0 0.61547287921812
+96 0 3 1 0 36 36 37 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 0.0277777777777778 0.615777600484678
+96 0 3 1 0 36 36 38 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 0.0555555555555556 0.616824486578861
+
+# iteration 96
+# refinement level 3 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 3 2 0 36 36 35 1.33333333333333 0 -5.55111512312578e-17 -0.0277777777777778 0.615777600484678
+96 0 3 2 0 36 36 36 1.33333333333333 0 -5.55111512312578e-17 -1.38777878078145e-17 0.61547287921812
+96 0 3 2 0 36 36 37 1.33333333333333 0 -5.55111512312578e-17 0.0277777777777778 0.615777600484678
+96 0 3 2 0 36 36 38 1.33333333333333 0 -5.55111512312578e-17 0.0555555555555555 0.616824486578861
+96 0 3 2 0 36 36 39 1.33333333333333 0 -5.55111512312578e-17 0.0833333333333333 0.618663308361111
+96 0 3 2 0 36 36 40 1.33333333333333 0 -5.55111512312578e-17 0.111111111111111 0.621410197839124
+96 0 3 2 0 36 36 41 1.33333333333333 0 -5.55111512312578e-17 0.138888888888889 0.625297419028293
+96 0 3 2 0 36 36 42 1.33333333333333 0 -5.55111512312578e-17 0.166666666666667 0.63002634676597
+96 0 3 2 0 36 36 43 1.33333333333333 0 -5.55111512312578e-17 0.194444444444444 0.63539979750899
+
+# iteration 96
+# refinement level 3 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+96 0 3 3 0 36 36 35 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 -0.0277777777777778 0.615777600484678
+96 0 3 3 0 36 36 36 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 -1.38777878078145e-17 0.61547287921812
+96 0 3 3 0 36 36 37 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 0.0277777777777778 0.615777600484678
+96 0 3 3 0 36 36 38 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 0.0555555555555555 0.616824486578861
+96 0 3 3 0 36 36 39 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 0.0833333333333333 0.618663308361111
+96 0 3 3 0 36 36 40 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 0.111111111111111 0.621410197839124
+96 0 3 3 0 36 36 41 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 0.138888888888889 0.625297419028293
+96 0 3 3 0 36 36 42 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 0.166666666666667 0.63002634676597
+96 0 3 3 0 36 36 43 1.33333333333333 -1.38777878078145e-17 -5.55111512312578e-17 0.194444444444444 0.63539979750899
+
+
+# iteration 128
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 0 0 0 40 40 0 1.77777777777778 0.111111111111111 0.111111111111111 -1 0.873700996777018
+128 0 0 0 0 40 40 8 1.77777777777778 0.111111111111111 0.111111111111111 -0.777777777777778 0.859471717622308
+128 0 0 0 0 40 40 16 1.77777777777778 0.111111111111111 0.111111111111111 -0.555555555555556 0.863004424640887
+128 0 0 0 0 40 40 24 1.77777777777778 0.111111111111111 0.111111111111111 -0.333333333333333 0.883486952153519
+128 0 0 0 0 40 40 32 1.77777777777778 0.111111111111111 0.111111111111111 -0.111111111111111 0.915799135771738
+128 0 0 0 0 40 40 40 1.77777777777778 0.111111111111111 0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 0 0 40 40 48 1.77777777777778 0.111111111111111 0.111111111111111 0.333333333333333 0.883486952153519
+
+# iteration 128
+# refinement level 0 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 0 1 0 40 40 0 1.77777777777778 0.111111111111111 0.111111111111111 -1 0.873700996777018
+128 0 0 1 0 40 40 8 1.77777777777778 0.111111111111111 0.111111111111111 -0.777777777777778 0.859471717622308
+128 0 0 1 0 40 40 16 1.77777777777778 0.111111111111111 0.111111111111111 -0.555555555555556 0.863004424640887
+128 0 0 1 0 40 40 24 1.77777777777778 0.111111111111111 0.111111111111111 -0.333333333333333 0.883486952153519
+128 0 0 1 0 40 40 32 1.77777777777778 0.111111111111111 0.111111111111111 -0.111111111111111 0.915799135771738
+128 0 0 1 0 40 40 40 1.77777777777778 0.111111111111111 0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 1 0 40 40 48 1.77777777777778 0.111111111111111 0.111111111111111 0.333333333333333 0.883486952153519
+
+# iteration 128
+# refinement level 0 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 0 2 0 40 40 24 1.77777777777778 0.111111111111111 0.111111111111111 -0.333333333333333 0.883486952153519
+128 0 0 2 0 40 40 32 1.77777777777778 0.111111111111111 0.111111111111111 -0.111111111111111 0.915799135771738
+128 0 0 2 0 40 40 40 1.77777777777778 0.111111111111111 0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 2 0 40 40 48 1.77777777777778 0.111111111111111 0.111111111111111 0.333333333333333 0.883486952153519
+128 0 0 2 0 40 40 56 1.77777777777778 0.111111111111111 0.111111111111111 0.555555555555556 0.863004424640887
+128 0 0 2 0 40 40 64 1.77777777777778 0.111111111111111 0.111111111111111 0.777777777777778 0.859471717622308
+128 0 0 2 0 40 40 72 1.77777777777778 0.111111111111111 0.111111111111111 1 0.873700996777018
+
+# iteration 128
+# refinement level 0 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 0 3 0 40 40 24 1.77777777777778 0.111111111111111 0.111111111111111 -0.333333333333333 0.883486952153519
+128 0 0 3 0 40 40 32 1.77777777777778 0.111111111111111 0.111111111111111 -0.111111111111111 0.915799135771738
+128 0 0 3 0 40 40 40 1.77777777777778 0.111111111111111 0.111111111111111 0.111111111111111 0.915799135771738
+128 0 0 3 0 40 40 48 1.77777777777778 0.111111111111111 0.111111111111111 0.333333333333333 0.883486952153519
+128 0 0 3 0 40 40 56 1.77777777777778 0.111111111111111 0.111111111111111 0.555555555555556 0.863004424640887
+128 0 0 3 0 40 40 64 1.77777777777778 0.111111111111111 0.111111111111111 0.777777777777778 0.859471717622308
+128 0 0 3 0 40 40 72 1.77777777777778 0.111111111111111 0.111111111111111 1 0.873700996777018
+
+
+# iteration 128
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 1 0 0 36 36 8 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 -0.777777777777778 0.862653663591007
+128 0 1 0 0 36 36 12 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 -0.666666666666667 0.862560028606905
+128 0 1 0 0 36 36 16 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 -0.555555555555556 0.866965759785718
+128 0 1 0 0 36 36 20 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 -0.444444444444444 0.876167092595071
+128 0 1 0 0 36 36 24 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 -0.333333333333333 0.889185421864397
+128 0 1 0 0 36 36 28 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 -0.222222222222222 0.90799818468156
+128 0 1 0 0 36 36 32 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 -0.111111111111111 0.924033489738888
+128 0 1 0 0 36 36 36 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 -9.86623976961809e-17 0.928389498223199
+128 0 1 0 0 36 36 40 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 0.111111111111111 0.924033489738888
+128 0 1 0 0 36 36 44 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 0.222222222222222 0.90799818468156
+
+# iteration 128
+# refinement level 1 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 1 1 0 36 36 8 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.777777777777778 0.862653663591007
+128 0 1 1 0 36 36 12 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.666666666666667 0.862560028606905
+128 0 1 1 0 36 36 16 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.555555555555556 0.866965759785718
+128 0 1 1 0 36 36 20 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.444444444444444 0.876167092595071
+128 0 1 1 0 36 36 24 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.333333333333333 0.889185421864397
+128 0 1 1 0 36 36 28 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.222222222222222 0.90799818468156
+128 0 1 1 0 36 36 32 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.111111111111111 0.924033489738888
+128 0 1 1 0 36 36 36 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -9.86623976961809e-17 0.928389498223199
+128 0 1 1 0 36 36 40 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.111111111111111 0.924033489738888
+128 0 1 1 0 36 36 44 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.222222222222222 0.90799818468156
+
+# iteration 128
+# refinement level 1 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 1 2 0 36 36 32 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 -0.111111111111111 0.924033489738888
+128 0 1 2 0 36 36 36 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.928389498223199
+128 0 1 2 0 36 36 40 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 0.111111111111111 0.924033489738888
+128 0 1 2 0 36 36 44 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 0.222222222222222 0.90799818468156
+128 0 1 2 0 36 36 48 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 0.333333333333333 0.889185421864397
+128 0 1 2 0 36 36 52 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 0.444444444444444 0.876167092595071
+128 0 1 2 0 36 36 56 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 0.555555555555555 0.866965759785718
+128 0 1 2 0 36 36 60 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 0.666666666666667 0.862560028606905
+128 0 1 2 0 36 36 64 1.77777777777778 -9.86623976961809e-17 -5.55111512312578e-17 0.777777777777778 0.862653663591007
+
+# iteration 128
+# refinement level 1 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 1 3 0 36 36 32 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -0.111111111111111 0.924033489738888
+128 0 1 3 0 36 36 36 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 -5.55111512312578e-17 0.928389498223199
+128 0 1 3 0 36 36 40 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.111111111111111 0.924033489738888
+128 0 1 3 0 36 36 44 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.222222222222222 0.90799818468156
+128 0 1 3 0 36 36 48 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.333333333333333 0.889185421864397
+128 0 1 3 0 36 36 52 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.444444444444444 0.876167092595071
+128 0 1 3 0 36 36 56 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.555555555555555 0.866965759785718
+128 0 1 3 0 36 36 60 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.666666666666667 0.862560028606905
+128 0 1 3 0 36 36 64 1.77777777777778 -5.55111512312578e-17 -5.55111512312578e-17 0.777777777777778 0.862653663591007
+
+
+# iteration 128
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 2 0 0 36 36 22 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 -0.388888888888889 0.882075542854246
+128 0 2 0 0 36 36 24 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 -0.333333333333333 0.889185421864397
+128 0 2 0 0 36 36 26 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 -0.277777777777778 0.898403242286228
+128 0 2 0 0 36 36 28 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 -0.222222222222222 0.90799818468156
+128 0 2 0 0 36 36 30 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 -0.166666666666667 0.916919384356027
+128 0 2 0 0 36 36 32 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 -0.111111111111111 0.924033489738888
+128 0 2 0 0 36 36 34 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 -0.0555555555555555 0.927485951077396
+128 0 2 0 0 36 36 36 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 2.46655994240452e-17 0.928389498223199
+128 0 2 0 0 36 36 38 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 0.0555555555555556 0.927485951077396
+128 0 2 0 0 36 36 40 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 0.111111111111111 0.924033489738888
+
+# iteration 128
+# refinement level 2 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 2 1 0 36 36 22 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 -0.388888888888889 0.882075542854246
+128 0 2 1 0 36 36 24 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 -0.333333333333333 0.889185421864397
+128 0 2 1 0 36 36 26 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 -0.277777777777778 0.898403242286228
+128 0 2 1 0 36 36 28 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 -0.222222222222222 0.90799818468156
+128 0 2 1 0 36 36 30 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 -0.166666666666667 0.916919384356027
+128 0 2 1 0 36 36 32 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 -0.111111111111111 0.924033489738888
+128 0 2 1 0 36 36 34 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 -0.0555555555555555 0.927485951077396
+128 0 2 1 0 36 36 36 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 2.46655994240452e-17 0.928389498223199
+128 0 2 1 0 36 36 38 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 0.0555555555555556 0.927485951077396
+128 0 2 1 0 36 36 40 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 0.111111111111111 0.924033489738888
+
+# iteration 128
+# refinement level 2 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 2 2 0 36 36 34 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 -0.0555555555555556 0.927485951077396
+128 0 2 2 0 36 36 36 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 -2.77555756156289e-17 0.928389498223199
+128 0 2 2 0 36 36 38 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 0.0555555555555555 0.927485951077396
+128 0 2 2 0 36 36 40 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 0.111111111111111 0.924033489738888
+128 0 2 2 0 36 36 42 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 0.166666666666667 0.916919384356027
+128 0 2 2 0 36 36 44 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 0.222222222222222 0.90799818468156
+128 0 2 2 0 36 36 46 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 0.277777777777778 0.898403242286228
+128 0 2 2 0 36 36 48 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 0.333333333333333 0.889185421864397
+128 0 2 2 0 36 36 50 1.77777777777778 2.46655994240452e-17 -5.55111512312578e-17 0.388888888888889 0.882075542854246
+
+# iteration 128
+# refinement level 2 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 2 3 0 36 36 34 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 -0.0555555555555556 0.927485951077396
+128 0 2 3 0 36 36 36 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 -2.77555756156289e-17 0.928389498223199
+128 0 2 3 0 36 36 38 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 0.0555555555555555 0.927485951077396
+128 0 2 3 0 36 36 40 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 0.111111111111111 0.924033489738888
+128 0 2 3 0 36 36 42 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 0.166666666666667 0.916919384356027
+128 0 2 3 0 36 36 44 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 0.222222222222222 0.90799818468156
+128 0 2 3 0 36 36 46 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 0.277777777777778 0.898403242286228
+128 0 2 3 0 36 36 48 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 0.333333333333333 0.889185421864397
+128 0 2 3 0 36 36 50 1.77777777777778 -2.77555756156289e-17 -5.55111512312578e-17 0.388888888888889 0.882075542854246
+
+
+# iteration 128
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 3 0 0 36 36 29 1.77777777777778 0 -5.55111512312578e-17 -0.194444444444445 0.912613836832073
+128 0 3 0 0 36 36 30 1.77777777777778 0 -5.55111512312578e-17 -0.166666666666667 0.916919384356027
+128 0 3 0 0 36 36 31 1.77777777777778 0 -5.55111512312578e-17 -0.138888888888889 0.920818233193455
+128 0 3 0 0 36 36 32 1.77777777777778 0 -5.55111512312578e-17 -0.111111111111111 0.924033489738888
+128 0 3 0 0 36 36 33 1.77777777777778 0 -5.55111512312578e-17 -0.0833333333333334 0.926147880297958
+128 0 3 0 0 36 36 34 1.77777777777778 0 -5.55111512312578e-17 -0.0555555555555556 0.927485951077396
+128 0 3 0 0 36 36 35 1.77777777777778 0 -5.55111512312578e-17 -0.0277777777777778 0.928209975180567
+128 0 3 0 0 36 36 36 1.77777777777778 0 -5.55111512312578e-17 0 0.928389498223199
+128 0 3 0 0 36 36 37 1.77777777777778 0 -5.55111512312578e-17 0.0277777777777778 0.928209975180567
+128 0 3 0 0 36 36 38 1.77777777777778 0 -5.55111512312578e-17 0.0555555555555556 0.927485951077396
+
+# iteration 128
+# refinement level 3 multigrid level 0 map 0 component 1 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 3 1 0 36 36 29 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 -0.194444444444445 0.912613836832073
+128 0 3 1 0 36 36 30 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 -0.166666666666667 0.916919384356027
+128 0 3 1 0 36 36 31 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 -0.138888888888889 0.920818233193455
+128 0 3 1 0 36 36 32 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 -0.111111111111111 0.924033489738888
+128 0 3 1 0 36 36 33 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 -0.0833333333333334 0.926147880297958
+128 0 3 1 0 36 36 34 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 -0.0555555555555556 0.927485951077396
+128 0 3 1 0 36 36 35 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 -0.0277777777777778 0.928209975180567
+128 0 3 1 0 36 36 36 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 0 0.928389498223199
+128 0 3 1 0 36 36 37 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 0.0277777777777778 0.928209975180567
+128 0 3 1 0 36 36 38 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 0.0555555555555556 0.927485951077396
+
+# iteration 128
+# refinement level 3 multigrid level 0 map 0 component 2 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 3 2 0 36 36 35 1.77777777777778 0 -5.55111512312578e-17 -0.0277777777777778 0.928209975180567
+128 0 3 2 0 36 36 36 1.77777777777778 0 -5.55111512312578e-17 -1.38777878078145e-17 0.928389498223199
+128 0 3 2 0 36 36 37 1.77777777777778 0 -5.55111512312578e-17 0.0277777777777778 0.928209975180567
+128 0 3 2 0 36 36 38 1.77777777777778 0 -5.55111512312578e-17 0.0555555555555555 0.927485951077396
+128 0 3 2 0 36 36 39 1.77777777777778 0 -5.55111512312578e-17 0.0833333333333333 0.926147880297958
+128 0 3 2 0 36 36 40 1.77777777777778 0 -5.55111512312578e-17 0.111111111111111 0.924033489738888
+128 0 3 2 0 36 36 41 1.77777777777778 0 -5.55111512312578e-17 0.138888888888889 0.920818233193455
+128 0 3 2 0 36 36 42 1.77777777777778 0 -5.55111512312578e-17 0.166666666666667 0.916919384356027
+128 0 3 2 0 36 36 43 1.77777777777778 0 -5.55111512312578e-17 0.194444444444444 0.912613836832073
+
+# iteration 128
+# refinement level 3 multigrid level 0 map 0 component 3 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+128 0 3 3 0 36 36 35 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 -0.0277777777777778 0.928209975180567
+128 0 3 3 0 36 36 36 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 -1.38777878078145e-17 0.928389498223199
+128 0 3 3 0 36 36 37 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 0.0277777777777778 0.928209975180567
+128 0 3 3 0 36 36 38 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 0.0555555555555555 0.927485951077396
+128 0 3 3 0 36 36 39 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 0.0833333333333333 0.926147880297958
+128 0 3 3 0 36 36 40 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 0.111111111111111 0.924033489738888
+128 0 3 3 0 36 36 41 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 0.138888888888889 0.920818233193455
+128 0 3 3 0 36 36 42 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 0.166666666666667 0.916919384356027
+128 0 3 3 0 36 36 43 1.77777777777778 -1.38777878078145e-17 -5.55111512312578e-17 0.194444444444444 0.912613836832073
+
+
diff --git a/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi_maximum.xg b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi_maximum.xg
new file mode 100644
index 000000000..e25d17d43
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi_maximum.xg
@@ -0,0 +1,4 @@
+"phi v time
+0.8888888888889 0.8737009967770
+1.3333333333333 0.8774806033600
+1.7777777777778 0.9157991357717
diff --git a/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi_minimum.xg b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi_minimum.xg
new file mode 100644
index 000000000..973172b6d
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi_minimum.xg
@@ -0,0 +1,4 @@
+"phi v time
+0.8888888888889 0.6796516032334
+1.3333333333333 0.6328288136667
+1.7777777777778 0.6796516032334
diff --git a/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi_norm1.xg b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi_norm1.xg
new file mode 100644
index 000000000..6e8792bca
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi_norm1.xg
@@ -0,0 +1,4 @@
+"phi v time
+0.8888888888889 0.7927895664365
+1.3333333333333 0.7914772512610
+1.7777777777778 0.8208628581415
diff --git a/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi_norm2.xg b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi_norm2.xg
new file mode 100644
index 000000000..124c22eda
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/CarpetWaveToyRecover_test_4proc/phi_norm2.xg
@@ -0,0 +1,4 @@
+"phi v time
+0.8888888888889 0.7937177688028
+1.3333333333333 0.7927587735574
+1.7777777777778 0.8218200985038
diff --git a/Carpet/CarpetIOHDF5/test/input_initial_data.par b/Carpet/CarpetIOHDF5/test/input_initial_data.par
new file mode 100644
index 000000000..a16e312c6
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/input_initial_data.par
@@ -0,0 +1,57 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOHDF5/test/input_initial_data.par,v 1.3 2004/08/19 11:47:31 tradke Exp $
+
+# deactivate the IDScalarWaveMoL thorn
+# initial data is read from files using the filereader
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab Boundary CoordBase SymBase CartGrid3D Periodic LocalInterp NaNChecker Slab Time MoL WaveToyMoL IOUtil IOBasic CarpetIOHDF5"
+#ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab Boundary CoordBase SymBase CartGrid3D Periodic LocalInterp NaNChecker Slab Time MoL IDScalarWaveMoL WaveToyMoL IOUtil IOBasic CarpetIOHDF5"
+
+
+Cactus::cctk_itlast = 128
+
+Driver::global_nx = 24
+Driver::global_ny = 5
+Driver::global_nz = 5
+Driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+Carpet::init_each_timelevel = "yes"
+
+CarpetRegrid::refinement_levels = 1
+CarpetRegrid::refined_regions = "manual-gridpoint-list"
+CarpetRegrid::gridpoints = "[[ ([28,4,4]:[68,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+NaNChecker::check_every = 16
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = "terminate"
+
+Grid::domain = full
+Grid::type = byrange
+Grid::xmin = -0.1
+Grid::ymin = -0.15
+Grid::zmin = -0.15
+Grid::xmax = +1.05
+Grid::ymax = +0.15
+Grid::zmax = +0.15
+
+Periodic::periodic = "yes"
+
+Time::dtfac = 0.25
+
+MoL::ODE_Method = "ICN"
+
+IO::out_dir = $parfilename
+IO::out_fileinfo = "none"
+IO::parfile_write = "no"
+IO::out_every = 1
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+
+IOBasic::outInfo_vars = "WaveToyMoL::scalarevolve"
+IOBasic::outScalar_vars = "WaveToyMoL::scalarevolve"
+
+# filereader input files and directory
+IO::filereader_ID_files = "psi phi"
+IO::recover_dir = "../../../arrangements/Carpet/CarpetIOHDF5/test/input_initial_data"
diff --git a/Carpet/CarpetIOHDF5/test/input_initial_data/phi.h5 b/Carpet/CarpetIOHDF5/test/input_initial_data/phi.h5
new file mode 100644
index 000000000..86ad6542c
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/input_initial_data/phi.h5
Binary files differ
diff --git a/Carpet/CarpetIOHDF5/test/input_initial_data/phi_maximum.xg b/Carpet/CarpetIOHDF5/test/input_initial_data/phi_maximum.xg
new file mode 100644
index 000000000..78ce3fbaa
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/input_initial_data/phi_maximum.xg
@@ -0,0 +1,34 @@
+"phi v time
+0.0000000000000 1.0000000000000
+0.0125000000000 0.9986404587860
+0.0250000000000 0.9945673789444
+0.0375000000000 1.0119432126264
+0.0500000000000 1.0268055861612
+0.0625000000000 1.0388778598256
+0.0750000000000 1.0481272355649
+0.0875000000000 1.0716903046796
+0.1000000000000 1.0982829974947
+0.1125000000000 1.1218913478250
+0.1250000000000 1.1424512117393
+0.1375000000000 1.1599067288796
+0.1500000000000 1.1900017850006
+0.1625000000000 1.2219191687257
+0.1750000000000 1.2505162515579
+0.1875000000000 1.2757153346263
+0.2000000000000 1.2974479523686
+0.2125000000000 1.3156550585508
+0.2250000000000 1.3380762519805
+0.2375000000000 1.3673894350252
+0.2500000000000 1.3929870450400
+0.2625000000000 1.4147995341575
+0.2750000000000 1.4327676397030
+0.2875000000000 1.4468425452064
+0.3000000000000 1.4569860130280
+0.3125000000000 1.4631704882406
+0.3250000000000 1.4713646259286
+0.3375000000000 1.4861345916159
+0.3500000000000 1.4968663526009
+0.3625000000000 1.5035307556225
+0.3750000000000 1.5061096994421
+0.3875000000000 1.5045961840087
+0.4000000000000 1.4989943294590
diff --git a/Carpet/CarpetIOHDF5/test/input_initial_data/phi_minimum.xg b/Carpet/CarpetIOHDF5/test/input_initial_data/phi_minimum.xg
new file mode 100644
index 000000000..d62cc5b13
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/input_initial_data/phi_minimum.xg
@@ -0,0 +1,34 @@
+"phi v time
+0.0000000000000 -1.0000000000000
+0.0125000000000 -0.9986404587860
+0.0250000000000 -0.9945673789444
+0.0375000000000 -1.0119432126264
+0.0500000000000 -1.0268055861612
+0.0625000000000 -1.0388778598256
+0.0750000000000 -1.0481272355649
+0.0875000000000 -1.0716903046796
+0.1000000000000 -1.0982829974947
+0.1125000000000 -1.1218913478250
+0.1250000000000 -1.1424512117393
+0.1375000000000 -1.1599067288796
+0.1500000000000 -1.1900017850006
+0.1625000000000 -1.2219191687257
+0.1750000000000 -1.2505162515579
+0.1875000000000 -1.2757153346263
+0.2000000000000 -1.2974479523686
+0.2125000000000 -1.3156550585508
+0.2250000000000 -1.3380762519805
+0.2375000000000 -1.3673894350252
+0.2500000000000 -1.3929870450400
+0.2625000000000 -1.4147995341575
+0.2750000000000 -1.4327676397030
+0.2875000000000 -1.4468425452064
+0.3000000000000 -1.4569860130280
+0.3125000000000 -1.4631704882406
+0.3250000000000 -1.4713646259286
+0.3375000000000 -1.4861345916159
+0.3500000000000 -1.4968663526009
+0.3625000000000 -1.5035307556225
+0.3750000000000 -1.5061096994421
+0.3875000000000 -1.5045961840087
+0.4000000000000 -1.4989943294590
diff --git a/Carpet/CarpetIOHDF5/test/input_initial_data/phi_norm1.xg b/Carpet/CarpetIOHDF5/test/input_initial_data/phi_norm1.xg
new file mode 100644
index 000000000..c3618d28a
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/input_initial_data/phi_norm1.xg
@@ -0,0 +1,34 @@
+"phi v time
+0.0000000000000 0.6807763773465
+0.0125000000000 0.6883135845966
+0.0250000000000 0.6939804679330
+0.0375000000000 0.6977616325549
+0.0500000000000 0.6996468076312
+0.0625000000000 0.7113978965384
+0.0750000000000 0.7221770888255
+0.0875000000000 0.7309939361006
+0.1000000000000 0.7378244845393
+0.1125000000000 0.7471033499543
+0.1250000000000 0.7616523319997
+0.1375000000000 0.7741316985445
+0.1500000000000 0.7845075440356
+0.1625000000000 0.7927516787444
+0.1750000000000 0.7988417053545
+0.1875000000000 0.8110731791327
+0.2000000000000 0.8232064841264
+0.2125000000000 0.8331029209643
+0.2250000000000 0.8407356028304
+0.2375000000000 0.8460837941132
+0.2500000000000 0.8491329667380
+0.2625000000000 0.8498748396317
+0.2750000000000 0.8565790617590
+0.2875000000000 0.8664821742987
+0.3000000000000 0.8740308325676
+0.3125000000000 0.8792045294337
+0.3250000000000 0.8819892111320
+0.3375000000000 0.8823773154395
+0.3500000000000 0.8803677922124
+0.3625000000000 0.8759661062267
+0.3750000000000 0.8691842223177
+0.3875000000000 0.8713683085882
+0.4000000000000 0.8728859333298
diff --git a/Carpet/CarpetIOHDF5/test/input_initial_data/phi_norm2.xg b/Carpet/CarpetIOHDF5/test/input_initial_data/phi_norm2.xg
new file mode 100644
index 000000000..bd291cc98
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/input_initial_data/phi_norm2.xg
@@ -0,0 +1,34 @@
+"phi v time
+0.0000000000000 0.7489861339271
+0.0125000000000 0.7518419444399
+0.0250000000000 0.7562195954773
+0.0375000000000 0.7620457996251
+0.0500000000000 0.7692251813885
+0.0625000000000 0.7776434804038
+0.0750000000000 0.7871711042100
+0.0875000000000 0.7976667955515
+0.1000000000000 0.8089812100628
+0.1125000000000 0.8209602464387
+0.1250000000000 0.8334480229821
+0.1375000000000 0.8462894436775
+0.1500000000000 0.8593323383447
+0.1625000000000 0.8724291925272
+0.1750000000000 0.8854385033832
+0.1875000000000 0.8982258092504
+0.2000000000000 0.9106644447590
+0.2125000000000 0.9226360724714
+0.2250000000000 0.9340310379450
+0.2375000000000 0.9447485893398
+0.2500000000000 0.9546969963259
+0.2625000000000 0.9637935967973
+0.2750000000000 0.9719647941895
+0.2875000000000 0.9791460232367
+0.3000000000000 0.9852816978433
+0.3125000000000 0.9903251513560
+0.3250000000000 0.9942385768297
+0.3375000000000 0.9969929727762
+0.3500000000000 0.9985680982614
+0.3625000000000 0.9989524399743
+0.3750000000000 0.9981431929225
+0.3875000000000 0.9961462556366
+0.4000000000000 0.9929762400874
diff --git a/Carpet/CarpetIOHDF5/test/input_initial_data/psi.h5 b/Carpet/CarpetIOHDF5/test/input_initial_data/psi.h5
new file mode 100644
index 000000000..fbb911bff
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/input_initial_data/psi.h5
Binary files differ
diff --git a/Carpet/CarpetIOHDF5/test/input_initial_data/psi_maximum.xg b/Carpet/CarpetIOHDF5/test/input_initial_data/psi_maximum.xg
new file mode 100644
index 000000000..27be32935
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/input_initial_data/psi_maximum.xg
@@ -0,0 +1,34 @@
+"psi v time
+0.0000000000000 6.2831853071796
+0.0125000000000 6.2746430577991
+0.0250000000000 6.2490511423835
+0.0375000000000 6.2064791316818
+0.0500000000000 6.1470427352297
+0.0625000000000 6.1059995615621
+0.0750000000000 6.0823508015521
+0.0875000000000 6.0421749067230
+0.1000000000000 5.9855810749628
+0.1125000000000 5.9127231153562
+0.1250000000000 5.8237990301668
+0.1375000000000 5.7190504767363
+0.1500000000000 5.5987621107645
+0.1625000000000 5.4972069587517
+0.1750000000000 5.4231800426911
+0.1875000000000 5.3344172069405
+0.2000000000000 5.2311596682320
+0.2125000000000 5.1136880283712
+0.2250000000000 4.9823215117033
+0.2375000000000 4.8471541168578
+0.2500000000000 4.7760344394342
+0.2625000000000 4.6919372838490
+0.2750000000000 4.5950911858351
+0.2875000000000 4.4857593225805
+0.3000000000000 4.3764423117654
+0.3125000000000 4.3393959614856
+0.3250000000000 4.2905585196070
+0.3375000000000 4.2300627107315
+0.3500000000000 4.1580729377426
+0.3625000000000 4.1642308303415
+0.3750000000000 4.1713735624227
+0.3875000000000 4.1671816776830
+0.4000000000000 4.1516665873958
diff --git a/Carpet/CarpetIOHDF5/test/input_initial_data/psi_minimum.xg b/Carpet/CarpetIOHDF5/test/input_initial_data/psi_minimum.xg
new file mode 100644
index 000000000..fb6cf4909
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/input_initial_data/psi_minimum.xg
@@ -0,0 +1,34 @@
+"psi v time
+0.0000000000000 -6.2831853071796
+0.0125000000000 -6.2746430577991
+0.0250000000000 -6.2490511423835
+0.0375000000000 -6.2064791316818
+0.0500000000000 -6.1470427352296
+0.0625000000000 -6.1059995615621
+0.0750000000000 -6.0823508015522
+0.0875000000000 -6.0421749067230
+0.1000000000000 -5.9855810749628
+0.1125000000000 -5.9127231153562
+0.1250000000000 -5.8237990301668
+0.1375000000000 -5.7190504767363
+0.1500000000000 -5.5987621107645
+0.1625000000000 -5.4972069587517
+0.1750000000000 -5.4231800426911
+0.1875000000000 -5.3344172069405
+0.2000000000000 -5.2311596682320
+0.2125000000000 -5.1136880283712
+0.2250000000000 -4.9823215117033
+0.2375000000000 -4.8471541168578
+0.2500000000000 -4.7760344394342
+0.2625000000000 -4.6919372838490
+0.2750000000000 -4.5950911858351
+0.2875000000000 -4.4857593225805
+0.3000000000000 -4.3764423117654
+0.3125000000000 -4.3393959614856
+0.3250000000000 -4.2905585196070
+0.3375000000000 -4.2300627107315
+0.3500000000000 -4.1580729377426
+0.3625000000000 -4.1642308303415
+0.3750000000000 -4.1713735624227
+0.3875000000000 -4.1671816776830
+0.4000000000000 -4.1516665873958
diff --git a/Carpet/CarpetIOHDF5/test/input_initial_data/psi_norm1.xg b/Carpet/CarpetIOHDF5/test/input_initial_data/psi_norm1.xg
new file mode 100644
index 000000000..8fd7f80b2
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/input_initial_data/psi_norm1.xg
@@ -0,0 +1,34 @@
+"psi v time
+0.0000000000000 3.6215553016171
+0.0125000000000 3.6364763601998
+0.0250000000000 3.6415162291713
+0.0375000000000 3.6366612322730
+0.0500000000000 3.6219245799508
+0.0625000000000 3.5973463334095
+0.0750000000000 3.5629932957073
+0.0875000000000 3.5189588301869
+0.1000000000000 3.4653626067366
+0.1125000000000 3.4178909850438
+0.1250000000000 3.4031487535687
+0.1375000000000 3.3791593932900
+0.1500000000000 3.3459881060254
+0.1625000000000 3.3037250429285
+0.1750000000000 3.2524850594811
+0.1875000000000 3.1924074033578
+0.2000000000000 3.1283204712833
+0.2125000000000 3.1162479409102
+0.2250000000000 3.0957078538273
+0.2375000000000 3.0667560379254
+0.2500000000000 3.0294711776388
+0.2625000000000 2.9839546000991
+0.2750000000000 2.9543847137139
+0.2875000000000 2.9417629539386
+0.3000000000000 2.9211477552395
+0.3125000000000 2.8925951487277
+0.3250000000000 2.8561827332153
+0.3375000000000 2.8621799018707
+0.3500000000000 2.8633237516454
+0.3625000000000 2.8566872748419
+0.3750000000000 2.8422885187004
+0.3875000000000 2.8676161308430
+0.4000000000000 2.8922779097055
diff --git a/Carpet/CarpetIOHDF5/test/input_initial_data/psi_norm2.xg b/Carpet/CarpetIOHDF5/test/input_initial_data/psi_norm2.xg
new file mode 100644
index 000000000..f6e6af93d
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/input_initial_data/psi_norm2.xg
@@ -0,0 +1,34 @@
+"psi v time
+0.0000000000000 4.1631485516862
+0.0125000000000 4.1541748755646
+0.0250000000000 4.1403181106482
+0.0375000000000 4.1216804330909
+0.0500000000000 4.0984006495679
+0.0625000000000 4.0706544048325
+0.0750000000000 4.0386544211818
+0.0875000000000 4.0026507506396
+0.1000000000000 3.9629310129817
+0.1125000000000 3.9198205828109
+0.1250000000000 3.8736826762988
+0.1375000000000 3.8249182725450
+0.1500000000000 3.7739657855260
+0.1625000000000 3.7213003803309
+0.1750000000000 3.6674328023249
+0.1875000000000 3.6129075612872
+0.2000000000000 3.5583002867509
+0.2125000000000 3.5042140494355
+0.2250000000000 3.4512744321941
+0.2375000000000 3.4001231394120
+0.2500000000000 3.3514099647860
+0.2625000000000 3.3057830027058
+0.2750000000000 3.2638770952932
+0.2875000000000 3.2263006583662
+0.3000000000000 3.1936212201833
+0.3125000000000 3.1663502209452
+0.3250000000000 3.1449278306735
+0.3375000000000 3.1297087101756
+0.3500000000000 3.1209497227563
+0.3625000000000 3.1188005684516
+0.3750000000000 3.1232981418444
+0.3875000000000 3.1343651203794
+0.4000000000000 3.1518129128318
diff --git a/Carpet/CarpetIOHDF5/test/output_initial_data.parfile b/Carpet/CarpetIOHDF5/test/output_initial_data.parfile
new file mode 100644
index 000000000..2b69c050c
--- /dev/null
+++ b/Carpet/CarpetIOHDF5/test/output_initial_data.parfile
@@ -0,0 +1,57 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOHDF5/test/output_initial_data.parfile,v 1.1 2004/08/23 13:44:41 tradke Exp $
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab Boundary CoordBase SymBase CartGrid3D Periodic LocalInterp NaNChecker Slab Time MoL IDScalarWaveMoL WaveToyMoL IOUtil IOBasic CarpetIOHDF5"
+
+
+Cactus::cctk_itlast = 128
+
+Driver::global_nx = 24
+Driver::global_ny = 5
+Driver::global_nz = 5
+Driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+Carpet::init_each_timelevel = "yes"
+
+CarpetRegrid::refinement_levels = 1
+CarpetRegrid::refined_regions = "manual-gridpoint-list"
+CarpetRegrid::gridpoints = "[[ ([28,4,4]:[68,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+NaNChecker::check_every = 16
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = "terminate"
+
+Grid::domain = full
+Grid::type = byrange
+Grid::xmin = -0.1
+Grid::ymin = -0.15
+Grid::zmin = -0.15
+Grid::xmax = +1.05
+Grid::ymax = +0.15
+Grid::zmax = +0.15
+
+Periodic::periodic = "yes"
+
+Time::dtfac = 0.25
+
+MoL::ODE_Method = "ICN"
+
+IDScalarWaveMoL::wave_number[0] = 1.0
+
+IO::out_dir = "input_initial_data"
+IO::out_fileinfo = "none"
+IO::parfile_write = "no"
+IO::out_every = 1
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+
+IOBasic::outInfo_vars = "WaveToyMoL::scalarevolve"
+IOBasic::outScalar_vars = "WaveToyMoL::scalarevolve"
+
+# HDF5 output only for initial data
+IOHDF5::out3D_every = 513
+IOHDF5::out3D_vars = "WaveToyMoL::scalarevolve"
+IOHDF5::out3D_dir = "input_initial_data"
diff --git a/Carpet/CarpetIOScalar/COPYING b/Carpet/CarpetIOScalar/COPYING
new file mode 100644
index 000000000..1942c4334
--- /dev/null
+++ b/Carpet/CarpetIOScalar/COPYING
@@ -0,0 +1,341 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 59 Temple Place - Suite 330
+ Boston, MA 02111-1307, USA.
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
+
+ The licenses for most software are designed to take away your
+freedom to share and change it. By contrast, the GNU General Public
+License is intended to guarantee your freedom to share and change free
+software--to make sure the software is free for all its users. This
+General Public License applies to most of the Free Software
+Foundation's software and to any other program whose authors commit to
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+
+You should also get your employer (if you work as a programmer) or your
+school, if any, to sign a "copyright disclaimer" for the program, if
+necessary. Here is a sample; alter the names:
+
+ Yoyodyne, Inc., hereby disclaims all copyright interest in the program
+ `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+ <signature of Ty Coon>, 1 April 1989
+ Ty Coon, President of Vice
+
+This General Public License does not permit incorporating your program into
+proprietary programs. If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library. If this is what you want to do, use the GNU Library General
+Public License instead of this License.
diff --git a/Carpet/CarpetIOScalar/README b/Carpet/CarpetIOScalar/README
new file mode 100644
index 000000000..e97f8eba3
--- /dev/null
+++ b/Carpet/CarpetIOScalar/README
@@ -0,0 +1,10 @@
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOScalar/README,v 1.1 2004/06/11 17:41:51 schnetter Exp $
+
+Cactus Code Thorn CarpetIOScalar
+Thorn Author(s) : Erik Schnetter <schnetter@aei.mpg.de>
+Thorn Maintainer(s) : Erik Schnetter <schnetter@aei.mpg.de>
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+This thorn provides scalar output for Carpet.
diff --git a/Carpet/CarpetIOScalar/configuration.ccl b/Carpet/CarpetIOScalar/configuration.ccl
new file mode 100644
index 000000000..eb3387475
--- /dev/null
+++ b/Carpet/CarpetIOScalar/configuration.ccl
@@ -0,0 +1,6 @@
+# Configuration definitions for thorn CarpetIOASCII
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOScalar/configuration.ccl,v 1.1 2004/06/11 17:41:51 schnetter Exp $
+
+REQUIRES Carpet CarpetLib IOUtil
+
+REQUIRES THORNS: Carpet CarpetLib IOUtil
diff --git a/Carpet/CarpetIOScalar/doc/documentation.tex b/Carpet/CarpetIOScalar/doc/documentation.tex
new file mode 100644
index 000000000..a97b1dd84
--- /dev/null
+++ b/Carpet/CarpetIOScalar/doc/documentation.tex
@@ -0,0 +1,144 @@
+% *======================================================================*
+% Cactus Thorn template for ThornGuide documentation
+% Author: Ian Kelley
+% Date: Sun Jun 02, 2002
+% $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOScalar/doc/documentation.tex,v 1.1 2004/06/11 17:41:51 schnetter Exp $
+%
+% Thorn documentation in the latex file doc/documentation.tex
+% will be included in ThornGuides built with the Cactus make system.
+% The scripts employed by the make system automatically include
+% pages about variables, parameters and scheduling parsed from the
+% relevant thorn CCL files.
+%
+% This template contains guidelines which help to assure that your
+% documentation will be correctly added to ThornGuides. More
+% information is available in the Cactus UsersGuide.
+%
+% Guidelines:
+% - Do not change anything before the line
+% % START CACTUS THORNGUIDE",
+% except for filling in the title, author, date, etc. fields.
+% - Each of these fields should only be on ONE line.
+% - Author names should be separated with a \\ or a comma.
+% - You can define your own macros, but they must appear after
+% the START CACTUS THORNGUIDE line, and must not redefine standard
+% latex commands.
+% - To avoid name clashes with other thorns, 'labels', 'citations',
+% 'references', and 'image' names should conform to the following
+% convention:
+% ARRANGEMENT_THORN_LABEL
+% For example, an image wave.eps in the arrangement CactusWave and
+% thorn WaveToyC should be renamed to CactusWave_WaveToyC_wave.eps
+% - Graphics should only be included using the graphicx package.
+% More specifically, with the "\includegraphics" command. Do
+% not specify any graphic file extensions in your .tex file. This
+% will allow us to create a PDF version of the ThornGuide
+% via pdflatex.
+% - References should be included with the latex "\bibitem" command.
+% - Use \begin{abstract}...\end{abstract} instead of \abstract{...}
+% - Do not use \appendix, instead include any appendices you need as
+% standard sections.
+% - For the benefit of our Perl scripts, and for future extensions,
+% please use simple latex.
+%
+% *======================================================================*
+%
+% Example of including a graphic image:
+% \begin{figure}[ht]
+% \begin{center}
+% \includegraphics[width=6cm]{MyArrangement_MyThorn_MyFigure}
+% \end{center}
+% \caption{Illustration of this and that}
+% \label{MyArrangement_MyThorn_MyLabel}
+% \end{figure}
+%
+% Example of using a label:
+% \label{MyArrangement_MyThorn_MyLabel}
+%
+% Example of a citation:
+% \cite{MyArrangement_MyThorn_Author99}
+%
+% Example of including a reference
+% \bibitem{MyArrangement_MyThorn_Author99}
+% {J. Author, {\em The Title of the Book, Journal, or periodical}, 1 (1999),
+% 1--16. {\tt http://www.nowhere.com/}}
+%
+% *======================================================================*
+
+% If you are using CVS use this line to give version information
+% $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOScalar/doc/documentation.tex,v 1.1 2004/06/11 17:41:51 schnetter Exp $
+
+\documentclass{article}
+
+% Use the Cactus ThornGuide style file
+% (Automatically used from Cactus distribution, if you have a
+% thorn without the Cactus Flesh download this from the Cactus
+% homepage at www.cactuscode.org)
+\usepackage{../../../../doc/latex/cactus}
+
+\begin{document}
+
+% The author of the documentation
+\author{Erik Schnetter \textless schnetter@aei.mpg.de\textgreater}
+
+% The title of the document (not necessarily the name of the Thorn)
+\title{}
+
+% the date your document was last changed, if your document is in CVS,
+% please use:
+% \date{$ $Date: 2004/06/11 17:41:51 $ $}
+\date{February 10 2004}
+
+\maketitle
+
+% Do not delete next line
+% START CACTUS THORNGUIDE
+
+% Add all definitions used in this documentation here
+% \def\mydef etc
+
+% Add an abstract for this thorn's documentation
+\begin{abstract}
+
+\end{abstract}
+
+% The following sections are suggestive only.
+% Remove them or add your own.
+
+\section{Introduction}
+
+\section{Physical System}
+
+\section{Numerical Implementation}
+
+\section{Using This Thorn}
+
+\subsection{Obtaining This Thorn}
+
+\subsection{Basic Usage}
+
+\subsection{Special Behaviour}
+
+\subsection{Interaction With Other Thorns}
+
+\subsection{Examples}
+
+\subsection{Support and Feedback}
+
+\section{History}
+
+\subsection{Thorn Source Code}
+
+\subsection{Thorn Documentation}
+
+\subsection{Acknowledgements}
+
+
+\begin{thebibliography}{9}
+
+\end{thebibliography}
+
+% Do not delete next line
+% END CACTUS THORNGUIDE
+
+\end{document}
diff --git a/Carpet/CarpetIOScalar/interface.ccl b/Carpet/CarpetIOScalar/interface.ccl
new file mode 100644
index 000000000..12d361a7b
--- /dev/null
+++ b/Carpet/CarpetIOScalar/interface.ccl
@@ -0,0 +1,8 @@
+# Interface definition for thorn CarpetIOScalar
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOScalar/interface.ccl,v 1.2 2004/06/21 16:07:41 schnetter Exp $
+
+IMPLEMENTS: IOScalar
+
+CCTK_INT last_output_iteration TYPE=scalar
+CCTK_REAL last_output_time TYPE=scalar
+CCTK_INT this_iteration TYPE=scalar
diff --git a/Carpet/CarpetIOScalar/param.ccl b/Carpet/CarpetIOScalar/param.ccl
new file mode 100644
index 000000000..ca22695e6
--- /dev/null
+++ b/Carpet/CarpetIOScalar/param.ccl
@@ -0,0 +1,57 @@
+# Parameter definitions for thorn CarpetIOScalar
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOScalar/param.ccl,v 1.3 2004/06/14 10:49:41 tradke Exp $
+
+
+
+shares: IO
+
+USES STRING out_dir
+
+USES KEYWORD out_criterion
+USES CCTK_INT out_every
+USES CCTK_REAL out_dt
+
+USES BOOLEAN strict_io_parameter_check
+
+
+private:
+
+
+
+CCTK_STRING outScalar_dir "Name of scalar output directory, overrides out_dir" STEERABLE = ALWAYS
+{
+ "^$" :: "Empty: use IO::out_dir"
+ ".+" :: "Not empty: directory name"
+} ""
+
+CCTK_STRING outScalar_vars "Variables to output in scalar form" STEERABLE = ALWAYS
+{
+ ".*" :: "A regex which matches everything"
+} ""
+
+CCTK_STRING outScalar_reductions "List of reductions to output in scalar form" STEERABLE = ALWAYS
+{
+ ".*" :: "A regex which matches everything"
+} "count minimum maximum sum average norm1 norm2 norm_inf"
+
+
+
+KEYWORD outScalar_criterion "Criterion to select scalar output intervals, overrides out_every" STEERABLE = ALWAYS
+{
+ "never" :: "Never output"
+ "iteration" :: "Output every so many iterations"
+ "time" :: "Output every that much coordinate time"
+} "iteration"
+
+CCTK_INT outScalar_every "How often to do scalar output, overrides out_every" STEERABLE = ALWAYS
+{
+ -1:* :: "Values <= 0 disable scalar output"
+} -1
+
+REAL outScalar_dt "How often to do scalar output, overrides out_dt" STEERABLE = ALWAYS
+{
+ (0:* :: "In intervals of that much coordinate time"
+ 0 :: "As often as possible"
+ -1 :: "Disable output"
+ -2 :: "Default to IO::out_dt"
+} -2
diff --git a/Carpet/CarpetIOScalar/schedule.ccl b/Carpet/CarpetIOScalar/schedule.ccl
new file mode 100644
index 000000000..8e29bed1d
--- /dev/null
+++ b/Carpet/CarpetIOScalar/schedule.ccl
@@ -0,0 +1,16 @@
+# Schedule definitions for thorn CarpetIOScalar
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOScalar/schedule.ccl,v 1.2 2004/06/21 16:07:41 schnetter Exp $
+
+storage: last_output_iteration last_output_time this_iteration
+
+schedule CarpetIOScalarStartup at STARTUP after IOUtil_Startup
+{
+ LANG: C
+ OPTIONS: global
+} "Startup routine"
+
+schedule CarpetIOScalarInit at BASEGRID
+{
+ LANG: C
+ OPTIONS: global
+} "Initialisation routine"
diff --git a/Carpet/CarpetIOScalar/src/ioscalar.cc b/Carpet/CarpetIOScalar/src/ioscalar.cc
new file mode 100644
index 000000000..83b450bb5
--- /dev/null
+++ b/Carpet/CarpetIOScalar/src/ioscalar.cc
@@ -0,0 +1,487 @@
+#include <cassert>
+#include <cstdlib>
+#include <fstream>
+#include <iomanip>
+#include <list>
+#include <sstream>
+#include <string>
+#include <vector>
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+
+#include "CactusBase/IOUtil/src/ioGH.h"
+
+#include "carpet.hh"
+
+
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOScalar/src/ioscalar.cc,v 1.6 2004/08/05 10:28:25 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetIOScalar_ioscalar_cc);
+}
+
+
+
+// That's a hack
+namespace Carpet {
+ void UnsupportedVarType (const int vindex);
+}
+
+
+
+namespace CarpetIOScalar {
+
+ using namespace std;
+ using namespace Carpet;
+
+
+
+ // Definition of local types
+ struct info {
+ string reduction;
+ int handle;
+ };
+
+
+
+ // Registered functions
+ void* SetupGH (tFleshConfig* fc, int convLevel, cGH* cctkGH);
+ int OutputGH (const cGH* cctkGH);
+ int OutputVarAs (const cGH* cctkGH, const char* varname, const char* alias);
+ int TimeToOutput (const cGH* cctkGH, int vindex);
+ int TriggerOutput (const cGH* cctkGH, int vindex);
+
+ // Internal functions
+ void SetFlag (int index, const char* optstring, void* arg);
+
+
+
+ // Definition of static members
+ int GHExtension;
+ int IOMethod;
+ vector<bool> do_truncate;
+ vector<int> last_output;
+
+
+
+ // Special output routines for complex numbers
+
+#ifdef CCTK_REAL4
+ ostream& operator<< (ostream& os, const CCTK_COMPLEX8& val)
+ {
+ return os << CCTK_Cmplx8Real(val) << " " << CCTK_Cmplx8Imag(val);
+ }
+#endif
+
+#ifdef CCTK_REAL8
+ ostream& operator<< (ostream& os, const CCTK_COMPLEX16& val)
+ {
+ return os << CCTK_Cmplx16Real(val) << " " << CCTK_Cmplx16Imag(val);
+ }
+#endif
+
+#ifdef CCTK_REAL16
+ ostream& operator<< (ostream& os, const CCTK_COMPLEX32& val)
+ {
+ return os << CCTK_Cmplx32Real(val) << " " << CCTK_Cmplx32Imag(val);
+ }
+#endif
+
+
+
+ extern "C" void
+ CarpetIOScalarStartup ()
+ {
+ CCTK_RegisterBanner ("AMR scalar I/O provided by CarpetIOScalar");
+
+ GHExtension = CCTK_RegisterGHExtension("CarpetIOScalar");
+ CCTK_RegisterGHExtensionSetupGH (GHExtension, SetupGH);
+
+ IOMethod = CCTK_RegisterIOMethod ("CarpetIOScalar");
+ CCTK_RegisterIOMethodOutputGH (IOMethod, OutputGH);
+ CCTK_RegisterIOMethodOutputVarAs (IOMethod, OutputVarAs);
+ CCTK_RegisterIOMethodTimeToOutput (IOMethod, TimeToOutput);
+ CCTK_RegisterIOMethodTriggerOutput (IOMethod, TriggerOutput);
+ }
+
+
+
+ extern "C" void
+ CarpetIOScalarInit (CCTK_ARGUMENTS)
+ {
+ DECLARE_CCTK_ARGUMENTS;
+
+ *this_iteration = 0;
+ *last_output_iteration = 0;
+ *last_output_time = cctkGH->cctk_time;
+ }
+
+
+
+ void*
+ SetupGH (tFleshConfig* const fc, int const convLevel, cGH* const cctkGH)
+ {
+ DECLARE_CCTK_PARAMETERS;
+ const void *dummy;
+
+ dummy = &fc;
+ dummy = &convLevel;
+ dummy = &cctkGH;
+ dummy = &dummy;
+
+ // Truncate all files if this is not a restart
+ do_truncate.resize (CCTK_NumVars(), true);
+
+ // No iterations have yet been output
+ last_output.resize (CCTK_NumVars(), -1);
+
+ // We register only once, ergo we get only one handle. We store
+ // that statically, so there is no need to pass anything to
+ // Cactus.
+ return NULL;
+ }
+
+
+
+ int
+ OutputGH (const cGH * const cctkGH)
+ {
+ for (int vindex=0; vindex<CCTK_NumVars(); ++vindex) {
+ if (TimeToOutput(cctkGH, vindex)) {
+ TriggerOutput(cctkGH, vindex);
+ }
+ }
+ return 0;
+ }
+
+
+
+ int
+ OutputVarAs (const cGH * const cctkGH,
+ const char* const varname, const char* const alias)
+ {
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ assert (is_level_mode());
+
+ const int n = CCTK_VarIndex(varname);
+ if (n<0) {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Variable \"%s\" does not exist", varname);
+ return -1;
+ }
+ assert (n>=0 && n<CCTK_NumVars());
+ const int group = CCTK_GroupIndexFromVarI (n);
+ assert (group>=0 && group<(int)Carpet::arrdata.size());
+ const int n0 = CCTK_FirstVarIndexI(group);
+ assert (n0>=0 && n0<CCTK_NumVars());
+ const int var = n - n0;
+ assert (var>=0 && var<CCTK_NumVarsInGroupI(group));
+ const int num_tl = CCTK_NumTimeLevelsFromVarI(n);
+ assert (num_tl>=1);
+
+ // Check for storage
+ if (! CCTK_QueryGroupStorageI(cctkGH, group)) {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Cannot output variable \"%s\" because it has no storage",
+ varname);
+ return 0;
+ }
+
+ assert (do_global_mode);
+
+ const int vartype = CCTK_VarTypeI(n);
+ assert (vartype >= 0);
+
+ // Get grid hierarchy extentsion from IOUtil
+ const ioGH * const iogh = (const ioGH *)CCTK_GHExtension (cctkGH, "IO");
+ assert (iogh);
+
+ // Create the output directory
+ const char* myoutdir = outScalar_dir;
+ if (CCTK_EQUALS(myoutdir, "")) {
+ myoutdir = out_dir;
+ }
+ if (CCTK_MyProc(cctkGH)==0) {
+ CCTK_CreateDirectory (0755, myoutdir);
+ }
+
+ // Find the set of desired reductions
+ list<info> reductions;
+ string const redlist (outScalar_reductions);
+ string::const_iterator p = redlist.begin();
+ while (p!=redlist.end()) {
+ while (p!=redlist.end() && isspace(*p)) ++p;
+ if (p==redlist.end()) break;
+ string::const_iterator const start = p;
+ while (p!=redlist.end() && !isspace(*p)) ++p;
+ string::const_iterator const end = p;
+ string const reduction (start, end);
+ int const handle = CCTK_ReductionHandle (reduction.c_str());
+ if (handle < 0) {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Reduction operator \"%s\" does not exist (maybe there is no reduction thorn active?)",
+ reduction.c_str());
+ } else {
+ info i;
+ i.reduction = reduction;
+ i.handle = handle;
+ reductions.push_back (i);
+ }
+ }
+
+ // Output in global mode
+ BEGIN_GLOBAL_MODE(cctkGH) {
+
+ for (list<info>::const_iterator ireduction = reductions.begin();
+ ireduction != reductions.end();
+ ++ireduction)
+ {
+ string const reduction = ireduction->reduction;
+
+ ofstream file;
+ if (CCTK_MyProc(cctkGH)==0) {
+
+ // Invent a file name
+ ostringstream filenamebuf;
+ filenamebuf << myoutdir << "/" << alias << "." << reduction
+ << ".asc";
+ // we need a persistent temporary here
+ string filenamestr = filenamebuf.str();
+ const char* const filename = filenamestr.c_str();
+
+ // If this is the first time, then write a nice header
+ if (do_truncate.at(n) && ! iogh->recovered) {
+ file.open (filename, ios::out | ios::trunc);
+ file << "# " << varname << " (" << alias << ")" << endl;
+ file << "# iteration time data" << endl;
+ } else {
+ file.open (filename, ios::out | ios::app);
+ }
+ if (! file.good()) {
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Could not open output file \"%s\" for variable \"%s\"",
+ filename, varname);
+ }
+
+ assert (file.is_open());
+
+ file << setprecision(15);
+ assert (file.good());
+
+ } // if on the root processor
+
+ int const handle = ireduction->handle;
+
+ union {
+#define TYPECASE(N,T) T var_##T;
+#include "Carpet/Carpet/src/typecase"
+#undef TYPECASE
+ } result;
+
+ int const ierr
+ = CCTK_Reduce (cctkGH, 0, handle, 1, vartype, &result, 1, n);
+ assert (! ierr);
+
+ if (CCTK_MyProc(cctkGH)==0) {
+
+ file << cctk_iteration << " " << cctk_time << " ";
+
+ switch (vartype) {
+#define TYPECASE(N,T) \
+ case N: \
+ file << result.var_##T; \
+ break;
+#include "Carpet/Carpet/src/typecase"
+#undef TYPECASE
+ default:
+ UnsupportedVarType (n);
+ }
+
+ file << endl;
+ assert (file.good());
+ }
+
+ if (CCTK_MyProc(cctkGH)==0) {
+ file.close();
+ assert (file.good());
+ }
+
+ assert (! file.is_open());
+
+ } // for reductions
+
+ } END_GLOBAL_MODE;
+
+ // Don't truncate again
+ do_truncate.at(n) = false;
+
+ return 0;
+ }
+
+
+
+ int
+ TimeToOutput (const cGH * const cctkGH, int const vindex)
+ {
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ assert (vindex>=0 && vindex<CCTK_NumVars());
+
+
+
+ if (! do_global_mode) return 0;
+
+
+
+ // check whether to output at this iteration
+ bool output_this_iteration;
+
+ const char* myoutcriterion = outScalar_criterion;
+ if (CCTK_EQUALS(myoutcriterion, "default")) {
+ myoutcriterion = out_criterion;
+ }
+
+ if (CCTK_EQUALS (myoutcriterion, "never")) {
+
+ // Never output
+ output_this_iteration = false;
+
+ } else if (CCTK_EQUALS (myoutcriterion, "iteration")) {
+
+ int myoutevery = outScalar_every;
+ if (myoutevery == -2) {
+ myoutevery = out_every;
+ }
+ if (myoutevery <= 0) {
+ // output is disabled
+ output_this_iteration = false;
+ } else if (cctk_iteration == *this_iteration) {
+ // we already decided to output this iteration
+ output_this_iteration = true;
+ } else if (cctk_iteration >= *last_output_iteration + myoutevery) {
+ // it is time for the next output
+ output_this_iteration = true;
+ *last_output_iteration = cctk_iteration;
+ *this_iteration = cctk_iteration;
+ } else {
+ // we want no output at this iteration
+ output_this_iteration = false;
+ }
+
+ } else if (CCTK_EQUALS (myoutcriterion, "time")) {
+
+ CCTK_REAL myoutdt = outScalar_dt;
+ if (myoutdt == -2) {
+ myoutdt = out_dt;
+ }
+ if (myoutdt < 0) {
+ // output is disabled
+ output_this_iteration = false;
+ } else if (myoutdt == 0) {
+ // output all iterations
+ output_this_iteration = true;
+ } else if (cctk_iteration == *this_iteration) {
+ // we already decided to output this iteration
+ output_this_iteration = true;
+ } else if (cctk_time / cctk_delta_time
+ >= (*last_output_time + myoutdt) / cctk_delta_time - 1.0e-12) {
+ // it is time for the next output
+ output_this_iteration = true;
+ *last_output_time = cctk_time;
+ *this_iteration = cctk_iteration;
+ } else {
+ // we want no output at this iteration
+ output_this_iteration = false;
+ }
+
+ } else {
+
+ assert (0);
+
+ } // select output criterion
+
+ if (! output_this_iteration) return 0;
+
+
+
+ // check which variables to output
+ static vector<bool> output_variables;
+ static int output_variables_iteration = -1;
+
+ if (cctk_iteration > output_variables_iteration) {
+ output_variables.resize (CCTK_NumVars());
+
+ const char* const varlist = outScalar_vars;
+ if (CCTK_TraverseString (varlist, SetFlag, &output_variables,
+ CCTK_GROUP_OR_VAR) < 0)
+ {
+ CCTK_WARN (output_variables_iteration < 0 && strict_io_parameter_check ?
+ 0 : 1,
+ "error while parsing parameter 'IOScalar::outScalar_vars'");
+ }
+
+ output_variables_iteration = cctk_iteration;
+ }
+
+ if (! output_variables.at(vindex)) return 0;
+
+
+
+ if (last_output.at(vindex) == cctk_iteration) {
+ // Has already been output during this iteration
+ char* const varname = CCTK_FullName(vindex);
+ CCTK_VWarn (5, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Skipping output for variable \"%s\", because this variable "
+ "has already been output during the current iteration -- "
+ "probably via a trigger during the analysis stage",
+ varname);
+ free (varname);
+ return 0;
+ }
+
+ assert (last_output.at(vindex) < cctk_iteration);
+
+ // Should be output during this iteration
+ return 1;
+ }
+
+
+
+ int
+ TriggerOutput (const cGH * const cctkGH, int const vindex)
+ {
+ DECLARE_CCTK_ARGUMENTS;
+
+ assert (vindex>=0 && vindex<CCTK_NumVars());
+
+ char* const varname = CCTK_FullName(vindex);
+ const int retval = OutputVarAs (cctkGH, varname, CCTK_VarName(vindex));
+ free (varname);
+
+ last_output.at(vindex) = cctk_iteration;
+
+ return retval;
+ }
+
+
+
+ void
+ SetFlag (int const index, const char * const optstring, void * const arg)
+ {
+ const void *dummy;
+
+ dummy = &optstring;
+ dummy = &dummy;
+
+ vector<bool>& flags = *(vector<bool>*)arg;
+ flags.at(index) = true;
+ }
+
+
+
+} // namespace CarpetIOScalar
diff --git a/Carpet/CarpetIOScalar/src/make.code.defn b/Carpet/CarpetIOScalar/src/make.code.defn
new file mode 100644
index 000000000..f8b4594c6
--- /dev/null
+++ b/Carpet/CarpetIOScalar/src/make.code.defn
@@ -0,0 +1,8 @@
+# Main make.code.defn file for thorn CarpetIOScalar
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetIOScalar/src/make.code.defn,v 1.1 2004/06/11 17:41:51 schnetter Exp $
+
+# Source files in this directory
+SRCS = ioscalar.cc
+
+# Subdirectories containing source files
+SUBDIRS =
diff --git a/Carpet/CarpetInterp/COPYING b/Carpet/CarpetInterp/COPYING
new file mode 100644
index 000000000..1942c4334
--- /dev/null
+++ b/Carpet/CarpetInterp/COPYING
@@ -0,0 +1,341 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 59 Temple Place - Suite 330
+ Boston, MA 02111-1307, USA.
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
+
+ The licenses for most software are designed to take away your
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+License is intended to guarantee your freedom to share and change free
+software--to make sure the software is free for all its users. This
+General Public License applies to most of the Free Software
+Foundation's software and to any other program whose authors commit to
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+ TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
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+Activities other than copying, distribution and modification are not
+covered by this License; they are outside its scope. The act of
+running the Program is not restricted, and the output from the Program
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+Program (independent of having been made by running the Program).
+Whether that is true depends on what the Program does.
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+ 1. You may copy and distribute verbatim copies of the Program's
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+You may charge a fee for the physical act of transferring a copy, and
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+ 2. You may modify your copy or copies of the Program or any portion
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+In addition, mere aggregation of another work not based on the Program
+with the Program (or with a work based on the Program) on a volume of
+a storage or distribution medium does not bring the other work under
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+ 3. You may copy and distribute the Program (or a work based on it,
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+POSSIBILITY OF SUCH DAMAGES.
+
+ END OF TERMS AND CONDITIONS
+
+ How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
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+ To do so, attach the following notices to the program. It is safest
+to attach them to the start of each source file to most effectively
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+ Copyright (C) 19yy <name of author>
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation; either version 2 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program; see the file COPYING. If not, write to
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+ Boston, MA 02111-1307, USA.
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+ Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+ This is free software, and you are welcome to redistribute it
+ under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License. Of course, the commands you use may
+be called something other than `show w' and `show c'; they could even be
+mouse-clicks or menu items--whatever suits your program.
+
+You should also get your employer (if you work as a programmer) or your
+school, if any, to sign a "copyright disclaimer" for the program, if
+necessary. Here is a sample; alter the names:
+
+ Yoyodyne, Inc., hereby disclaims all copyright interest in the program
+ `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+ <signature of Ty Coon>, 1 April 1989
+ Ty Coon, President of Vice
+
+This General Public License does not permit incorporating your program into
+proprietary programs. If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library. If this is what you want to do, use the GNU Library General
+Public License instead of this License.
diff --git a/Carpet/CarpetInterp/README b/Carpet/CarpetInterp/README
new file mode 100644
index 000000000..845afc516
--- /dev/null
+++ b/Carpet/CarpetInterp/README
@@ -0,0 +1,10 @@
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetInterp/README,v 1.2 2004/01/25 14:57:29 schnetter Exp $
+
+Cactus Code Thorn CarpetInterp
+Thorn Author(s) : Erik Schnetter <schnetter@uni-tuebingen.de>
+Thorn Maintainer(s) : Erik Schnetter <schnetter@uni-tuebingen.de>
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+This thorn provides a parallel interpolator for Carpet.
diff --git a/Carpet/CarpetInterp/configuration.ccl b/Carpet/CarpetInterp/configuration.ccl
new file mode 100644
index 000000000..b96f6d5f0
--- /dev/null
+++ b/Carpet/CarpetInterp/configuration.ccl
@@ -0,0 +1,6 @@
+# Configuration definitions for thorn CarpetInterp
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetInterp/configuration.ccl,v 1.3 2004/06/08 21:09:25 schnetter Exp $
+
+REQUIRES Carpet CarpetLib
+
+REQUIRES THORNS: Carpet CarpetLib
diff --git a/Carpet/CarpetInterp/doc/documentation.tex b/Carpet/CarpetInterp/doc/documentation.tex
new file mode 100644
index 000000000..b1a2a477a
--- /dev/null
+++ b/Carpet/CarpetInterp/doc/documentation.tex
@@ -0,0 +1,143 @@
+% *======================================================================*
+% Cactus Thorn template for ThornGuide documentation
+% Author: Ian Kelley
+% Date: Sun Jun 02, 2002
+% $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetInterp/doc/documentation.tex,v 1.1 2003/04/29 14:02:25 schnetter Exp $
+%
+% Thorn documentation in the latex file doc/documentation.tex
+% will be included in ThornGuides built with the Cactus make system.
+% The scripts employed by the make system automatically include
+% pages about variables, parameters and scheduling parsed from the
+% relevent thorn CCL files.
+%
+% This template contains guidelines which help to assure that your
+% documentation will be correctly added to ThornGuides. More
+% information is available in the Cactus UsersGuide.
+%
+% Guidelines:
+% - Do not change anything before the line
+% % START CACTUS THORNGUIDE",
+% except for filling in the title, author, date etc. fields.
+% - Each of these fields should only be on ONE line.
+% - Author names should be sparated with a \\ or a comma
+% - You can define your own macros, but they must appear after
+% the START CACTUS THORNGUIDE line, and must not redefine standard
+% latex commands.
+% - To avoid name clashes with other thorns, 'labels', 'citations',
+% 'references', and 'image' names should conform to the following
+% convention:
+% ARRANGEMENT_THORN_LABEL
+% For example, an image wave.eps in the arrangement CactusWave and
+% thorn WaveToyC should be renamed to CactusWave_WaveToyC_wave.eps
+% - Graphics should only be included using the graphix package.
+% More specifically, with the "includegraphics" command. Do
+% not specify any graphic file extensions in your .tex file. This
+% will allow us (later) to create a PDF version of the ThornGuide
+% via pdflatex. |
+% - References should be included with the latex "bibitem" command.
+% - Use \begin{abstract}...\end{abstract} instead of \abstract{...}
+% - Do not use \appendix, instead include any appendices you need as
+% standard sections.
+% - For the benefit of our Perl scripts, and for future extensions,
+% please use simple latex.
+%
+% *======================================================================*
+%
+% Example of including a graphic image:
+% \begin{figure}[ht]
+% \begin{center}
+% \includegraphics[width=6cm]{MyArrangement_MyThorn_MyFigure}
+% \end{center}
+% \caption{Illustration of this and that}
+% \label{MyArrangement_MyThorn_MyLabel}
+% \end{figure}
+%
+% Example of using a label:
+% \label{MyArrangement_MyThorn_MyLabel}
+%
+% Example of a citation:
+% \cite{MyArrangement_MyThorn_Author99}
+%
+% Example of including a reference
+% \bibitem{MyArrangement_MyThorn_Author99}
+% {J. Author, {\em The Title of the Book, Journal, or periodical}, 1 (1999),
+% 1--16. {\tt http://www.nowhere.com/}}
+%
+% *======================================================================*
+
+% If you are using CVS use this line to give version information
+% $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetInterp/doc/documentation.tex,v 1.1 2003/04/29 14:02:25 schnetter Exp $
+
+\documentclass{article}
+
+% Use the Cactus ThornGuide style file
+% (Automatically used from Cactus distribution, if you have a
+% thorn without the Cactus Flesh download this from the Cactus
+% homepage at www.cactuscode.org)
+\usepackage{../../../../doc/ThornGuide/cactus}
+
+\begin{document}
+
+% The author of the documentation
+\author{Erik Schnetter \textless schnetter@uni-tuebingen.de\textgreater}
+
+% The title of the document (not necessarily the name of the Thorn)
+\title{CarpetInterp}
+
+% the date your document was last changed, if your document is in CVS,
+% please use:
+\date{$ $Date: 2003/04/29 14:02:25 $ $}
+
+\maketitle
+
+% Do not delete next line
+% START CACTUS THORNGUIDE
+
+% Add all definitions used in this documentation here
+% \def\mydef etc
+
+% Add an abstract for this thorn's documentation
+\begin{abstract}
+
+\end{abstract}
+
+% The following sections are suggestive only.
+% Remove them or add your own.
+
+\section{Introduction}
+
+\section{Physical System}
+
+\section{Numerical Implementation}
+
+\section{Using This Thorn}
+
+\subsection{Obtaining This Thorn}
+
+\subsection{Basic Usage}
+
+\subsection{Special Behaviour}
+
+\subsection{Interaction With Other Thorns}
+
+\subsection{Examples}
+
+\subsection{Support and Feedback}
+
+\section{History}
+
+\subsection{Thorn Source Code}
+
+\subsection{Thorn Documentation}
+
+\subsection{Acknowledgements}
+
+
+\begin{thebibliography}{9}
+
+\end{thebibliography}
+
+% Do not delete next line
+% END CACTUS THORNGUIDE
+
+\end{document}
diff --git a/Carpet/CarpetInterp/interface.ccl b/Carpet/CarpetInterp/interface.ccl
new file mode 100644
index 000000000..2141a0e8a
--- /dev/null
+++ b/Carpet/CarpetInterp/interface.ccl
@@ -0,0 +1,52 @@
+# Interface definition for thorn CarpetInterp
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetInterp/interface.ccl,v 1.8 2004/06/08 21:09:25 schnetter Exp $
+
+IMPLEMENTS: interp
+
+uses include header: carpet.hh
+
+uses include header: bbox.hh
+uses include header: vect.hh
+
+uses include header: data.hh
+
+
+
+# Interpolation
+CCTK_INT FUNCTION \
+ SymmetryInterpolate \
+ (CCTK_POINTER_TO_CONST IN cctkGH, \
+ CCTK_INT IN N_dims, \
+ CCTK_INT IN local_interp_handle, \
+ CCTK_INT IN param_table_handle, \
+ CCTK_INT IN coord_system_handle, \
+ CCTK_INT IN N_interp_points, \
+ CCTK_INT IN interp_coords_type, \
+ CCTK_POINTER_TO_CONST ARRAY IN interp_coords, \
+ CCTK_INT IN N_input_arrays, \
+ CCTK_INT ARRAY IN input_array_indices, \
+ CCTK_INT IN N_output_arrays, \
+ CCTK_INT ARRAY IN output_array_types, \
+ CCTK_POINTER ARRAY IN output_arrays)
+USES FUNCTION SymmetryInterpolate
+
+
+
+CCTK_INT FUNCTION \
+ DriverInterpolate \
+ (CCTK_POINTER_TO_CONST IN cctkGH, \
+ CCTK_INT IN N_dims, \
+ CCTK_INT IN local_interp_handle, \
+ CCTK_INT IN param_table_handle, \
+ CCTK_INT IN coord_system_handle, \
+ CCTK_INT IN N_interp_points, \
+ CCTK_INT IN interp_coords_type, \
+ CCTK_POINTER_TO_CONST ARRAY IN interp_coords, \
+ CCTK_INT IN N_input_arrays, \
+ CCTK_INT ARRAY IN input_array_indices, \
+ CCTK_INT IN N_output_arrays, \
+ CCTK_INT ARRAY IN output_array_types, \
+ CCTK_POINTER ARRAY IN output_arrays)
+PROVIDES FUNCTION DriverInterpolate \
+ WITH Carpet_DriverInterpolate \
+ LANGUAGE C
diff --git a/Carpet/CarpetInterp/param.ccl b/Carpet/CarpetInterp/param.ccl
new file mode 100644
index 000000000..7347f7f32
--- /dev/null
+++ b/Carpet/CarpetInterp/param.ccl
@@ -0,0 +1,3 @@
+# Parameter definitions for thorn CarpetInterp
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetInterp/param.ccl,v 1.2 2003/11/05 16:18:38 schnetter Exp $
+
diff --git a/Carpet/CarpetInterp/schedule.ccl b/Carpet/CarpetInterp/schedule.ccl
new file mode 100644
index 000000000..cf0891e37
--- /dev/null
+++ b/Carpet/CarpetInterp/schedule.ccl
@@ -0,0 +1,7 @@
+# Schedule definitions for thorn CarpetInterp
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetInterp/schedule.ccl,v 1.3 2003/11/05 16:18:38 schnetter Exp $
+
+schedule CarpetInterpStartup at STARTUP
+{
+ LANG: C
+} "Startup routine"
diff --git a/Carpet/CarpetInterp/src/interp.cc b/Carpet/CarpetInterp/src/interp.cc
new file mode 100644
index 000000000..8b48e9c54
--- /dev/null
+++ b/Carpet/CarpetInterp/src/interp.cc
@@ -0,0 +1,695 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetInterp/src/interp.cc,v 1.36 2004/09/13 14:36:13 schnetter Exp $
+
+#include <assert.h>
+#include <math.h>
+
+#include <algorithm>
+#include <vector>
+
+#include <mpi.h>
+
+#include "cctk.h"
+
+#include "util_ErrorCodes.h"
+#include "util_Table.h"
+
+#include "bbox.hh"
+#include "data.hh"
+#include "defs.hh"
+#include "ggf.hh"
+#include "vect.hh"
+
+#include "carpet.hh"
+
+#include "interp.hh"
+
+extern "C" {
+ static char const * const rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetInterp/src/interp.cc,v 1.36 2004/09/13 14:36:13 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetInterp_interp_cc);
+}
+
+
+
+namespace CarpetInterp {
+
+ using namespace Carpet;
+
+
+
+ typedef vect<int,dim> ivect;
+ typedef vect<CCTK_REAL,dim> rvect;
+
+ typedef bbox<int,dim> ibbox;
+
+
+
+#define ind_rc(m,rl,c) ind_rc_(m,rl,minrl,maxrl,c,maxncomps,vhh)
+ static inline int ind_rc_(int const m,
+ int const rl, int const minrl, int const maxrl,
+ int const c, int const maxncomps,
+ vector<gh<dim> *> const hh)
+ {
+ assert (m>=0 && m<maps);
+ assert (rl>=minrl && rl<maxrl);
+ assert (minrl>=0 && maxrl<=hh.at(m)->reflevels());
+ assert (c>=0 && c<maxncomps);
+ assert (maxncomps>=0 && maxncomps<=hh.at(m)->components(rl));
+ int const ind = (rl-minrl) * maxncomps + c;
+ assert (ind>=0 && ind < (maxrl-minrl) * maxncomps);
+ return ind;
+ }
+
+#define ind_prc(p,m,rl,c) \
+ ind_prc_(p,nprocs,m,rl,minrl,maxrl,c,maxncomps,cgh,vhh)
+ static inline int ind_prc_(int const p, int const nprocs,
+ int const m,
+ int const rl, int const minrl, int const maxrl,
+ int const c, int const maxncomps,
+ cGH const * const cgh,
+ vector<gh<dim> *> const hh)
+ {
+ assert (p>=0 && p<nprocs);
+ assert (nprocs==CCTK_nProcs(cgh));
+ assert (m>=0 && m<maps);
+ assert (rl>=minrl && rl<maxrl);
+ assert (minrl>=0 && maxrl<=hh.at(m)->reflevels());
+ assert (c>=0 && c<maxncomps);
+ assert (maxncomps>=0 && maxncomps<=hh.at(m)->components(rl));
+ int const ind = (p * (maxrl-minrl) + (rl-minrl)) * maxncomps + c;
+ assert (ind>=0 && ind < nprocs * (maxrl-minrl) * maxncomps);
+ return ind;
+ }
+
+
+ static int GetInterpNumTimelevels(const cGH * const cgh,
+ const int group)
+ {
+ assert (group>=0 && group<CCTK_NumGroups());
+
+ int ierr;
+
+ cGroup gp;
+ ierr = CCTK_GroupData (group, &gp);
+ assert (!ierr);
+
+ int interp_ntl = -1;
+
+ const int length = Util_TableGetInt
+ (gp.tagstable, &interp_ntl, "InterpNumTimelevels");
+ if (length == UTIL_ERROR_TABLE_NO_SUCH_KEY) {
+ interp_ntl = -1;
+ } else if (length >= 0) {
+ // all is well - just check they're not asking too much
+ if (interp_ntl > CCTK_ActiveTimeLevelsGI(cgh, group)) {
+ char * const groupname = CCTK_GroupName (group);
+ CCTK_VWarn(0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "The tags table entry \"InterpNumTimelevels\" "
+ "for group \"%s\" says that %d timelevels should "
+ "be used for time interpolation.\n However, only %d "
+ "are active.",
+ groupname, interp_ntl,
+ CCTK_ActiveTimeLevelsGI(cgh, group));
+ }
+ } else {
+ assert(0);
+ }
+
+ return interp_ntl;
+
+ }
+
+
+ void CarpetInterpStartup ()
+ {
+ CCTK_OverloadInterpGridArrays (InterpGridArrays);
+ }
+
+
+
+ int InterpGridArrays (cGH const * const cgh,
+ int const N_dims,
+ int const local_interp_handle,
+ int const param_table_handle,
+ int const coord_system_handle,
+ int const N_interp_points,
+ int const interp_coords_type_code,
+ void const * const interp_coords [],
+ int const N_input_arrays,
+ CCTK_INT const input_array_variable_indices [],
+ int const N_output_arrays,
+ CCTK_INT const output_array_type_codes [],
+ void * const output_arrays [])
+ {
+ if (CCTK_IsFunctionAliased ("SymmetryInterpolate")) {
+ return SymmetryInterpolate
+ (cgh, N_dims,
+ local_interp_handle, param_table_handle, coord_system_handle,
+ N_interp_points, interp_coords_type_code, interp_coords,
+ N_input_arrays, input_array_variable_indices,
+ N_output_arrays, output_array_type_codes, output_arrays);
+ } else {
+ return Carpet_DriverInterpolate
+ (cgh, N_dims,
+ local_interp_handle, param_table_handle, coord_system_handle,
+ N_interp_points, interp_coords_type_code, interp_coords,
+ N_input_arrays, input_array_variable_indices,
+ N_output_arrays, output_array_type_codes, output_arrays);
+ }
+ }
+
+
+
+ extern "C" CCTK_INT
+ Carpet_DriverInterpolate (CCTK_POINTER_TO_CONST const cgh_,
+ CCTK_INT const N_dims,
+ CCTK_INT const local_interp_handle,
+ CCTK_INT const param_table_handle,
+ CCTK_INT const coord_system_handle,
+ CCTK_INT const N_interp_points,
+ CCTK_INT const interp_coords_type_code,
+ CCTK_POINTER_TO_CONST const interp_coords [],
+ CCTK_INT const N_input_arrays,
+ CCTK_INT const input_array_variable_indices [],
+ CCTK_INT const N_output_arrays,
+ CCTK_INT const output_array_type_codes [],
+ CCTK_POINTER const output_arrays [])
+ {
+ cGH const * const cgh = static_cast<cGH const *> (cgh_);
+ int ierr;
+
+ assert (cgh);
+ assert (N_dims == dim);
+
+
+
+ if (is_meta_mode()) {
+ CCTK_WARN (0, "It is not possible to interpolate in meta mode");
+ }
+
+ bool const want_global_mode = is_global_mode();
+
+
+
+ // Get some information
+ MPI_Comm const comm = CarpetMPIComm ();
+ int const myproc = CCTK_MyProc (cgh);
+ int const nprocs = CCTK_nProcs (cgh);
+ assert (myproc>=0 && myproc<nprocs);
+
+ // Multiple maps are not supported
+ // (because we don't know how to select a map)
+ assert (maps == 1);
+ const int m = 0;
+
+ int const minrl = want_global_mode ? 0 : reflevel;
+ int const maxrl = want_global_mode ? vhh.at(m)->reflevels() : reflevel+1;
+
+ // Multiple convergence levels are not supported
+ assert (mglevels == 1);
+ int const ml = 0;
+
+ int maxncomps = 0;
+ for (int rl=minrl; rl<maxrl; ++rl) {
+ maxncomps = max(maxncomps, vhh.at(m)->components(rl));
+ }
+
+
+
+ // Find the time interpolation order
+ int partype;
+ void const * const parptr
+ = CCTK_ParameterGet ("prolongation_order_time", "Carpet", &partype);
+ assert (parptr);
+ assert (partype == PARAMETER_INTEGER);
+ int const prolongation_order_time = * (CCTK_INT const *) parptr;
+
+ CCTK_REAL const current_time = cgh->cctk_time / cgh->cctk_delta_time;
+
+
+
+ // Find out about the coordinates: origin and delta for the Carpet
+ // grid indices
+#if 0
+ const char * coord_system_name
+ = CCTK_CoordSystemName (coord_system_handle);
+ assert (coord_system_name);
+ rvect lower, upper, delta;
+ for (int d=0; d<dim; ++d) {
+ ierr = CCTK_CoordRange
+ (cgh, &lower[d], &upper[d], d+1, 0, coord_system_name);
+ assert (!ierr);
+ const ibbox & baseext = vhh.at(m)->baseextent;
+ delta[d]
+ = (upper[d] - lower[d]) / (baseext.upper()[d] - baseext.lower()[d]);
+ }
+#else
+ rvect const lower = rvect::ref(cgh->cctk_origin_space);
+ rvect const delta = rvect::ref(cgh->cctk_delta_space) / maxreflevelfact;
+ rvect const upper = lower + delta * (vhh.at(m)->baseextent.upper() - vhh.at(m)->baseextent.lower());
+#endif
+
+ assert (N_interp_points >= 0);
+ assert (interp_coords);
+ for (int d=0; d<dim; ++d) {
+ assert (N_interp_points==0 || interp_coords[d]);
+ }
+
+ assert (N_output_arrays >= 0);
+ if (N_interp_points > 0) {
+ assert (output_arrays);
+ for (int j=0; j<N_output_arrays; ++j) {
+ assert (output_arrays[j]);
+ }
+ }
+
+
+
+ // Assign interpolation points to components
+ vector<int> rlev (N_interp_points); // refinement level of point n
+ vector<int> home (N_interp_points); // component of point n
+ vector<int> homecnts ((maxrl-minrl) * maxncomps); // number of points in component c
+
+ for (int n=0; n<N_interp_points; ++n) {
+
+ // Find the grid point closest to the interpolation point
+ assert (interp_coords_type_code == CCTK_VARIABLE_REAL);
+ rvect pos;
+ for (int d=0; d<dim; ++d) {
+ pos[d] = static_cast<CCTK_REAL const *>(interp_coords[d])[n];
+ }
+
+ // Find the component that this grid point belongs to
+ rlev.at(n) = -1;
+ home.at(n) = -1;
+ if (all(pos>=lower && pos<=upper)) {
+ for (int rl=maxrl-1; rl>=minrl; --rl) {
+
+ const int fact = maxreflevelfact / ipow(reffact, rl) * ipow(mgfact, mglevel);
+ ivect const ipos = ivect(floor((pos - lower) / (delta * fact) + 0.5)) * fact;
+ assert (all(ipos % vhh.at(m)->bases.at(rl).at(ml).stride() == 0));
+
+ // TODO: use something faster than a linear search
+ for (int c=0; c<vhh.at(m)->components(rl); ++c) {
+ if (vhh.at(m)->extents.at(rl).at(c).at(ml).contains(ipos)) {
+ rlev.at(n) = rl;
+ home.at(n) = c;
+ goto found;
+ }
+ }
+ }
+ }
+ CCTK_VWarn (3, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Interpolation point #%d at [%g,%g,%g] is not on any grid patch",
+ n, pos[0], pos[1], pos[2]);
+ // Map the point (arbitrarily) to the first component of the
+ // coarsest grid
+ rlev.at(n) = minrl;
+ home.at(n) = 0;
+ found:
+ assert (rlev.at(n)>=minrl && rlev.at(n)<maxrl);
+ assert (home.at(n)>=0 && home.at(n)<vhh.at(m)->components(rlev.at(n)));
+ ++ homecnts.at(ind_rc(m, rlev.at(n), home.at(n)));
+
+ } // for n
+
+ // Communicate counts
+ vector<int> allhomecnts(nprocs * (maxrl-minrl) * maxncomps);
+ MPI_Allgather
+ (&homecnts .at(0), (maxrl-minrl) * maxncomps, MPI_INT,
+ &allhomecnts.at(0), (maxrl-minrl) * maxncomps, MPI_INT, comm);
+
+
+
+ // Create coordinate patches
+ vector<data<CCTK_REAL,dim> > allcoords
+ (nprocs * (maxrl-minrl) * maxncomps);
+ for (int p=0; p<nprocs; ++p) {
+ for (int rl=minrl; rl<maxrl; ++rl) {
+ for (int c=0; c<vhh.at(m)->components(rl); ++c) {
+ ivect lo (0);
+ ivect up (1);
+ up[0] = allhomecnts.at(ind_prc(p,m,rl,c));
+ up[1] = dim;
+ ivect str (1);
+ ibbox extent (lo, up-str, str);
+ allcoords.at(ind_prc(p,m,rl,c)).allocate (extent, p);
+ }
+ }
+ }
+
+ // Fill in local coordinate patches
+ {
+ vector<int> tmpcnts ((maxrl-minrl) * maxncomps);
+ for (int n=0; n<N_interp_points; ++n) {
+ int const rl = rlev.at(n);
+ int const c = home.at(n);
+ assert (rl>=minrl && rl<maxrl);
+ assert (c>=0 && c<vhh.at(m)->components(rl));
+ assert (tmpcnts.at(ind_rc(m,rl,c)) >= 0);
+ assert (tmpcnts.at(ind_rc(m,rl,c)) < homecnts.at(ind_rc(m,rl,c)));
+ assert (dim==3);
+ for (int d=0; d<dim; ++d) {
+ allcoords.at(ind_prc(myproc,m,rl,c))[ivect(tmpcnts.at(ind_rc(m,rl,c)),d,0)]
+ = static_cast<CCTK_REAL const *>(interp_coords[d])[n];
+ }
+ ++ tmpcnts.at(c + (rl-minrl)*maxncomps);
+ }
+ for (int rl=minrl; rl<maxrl; ++rl) {
+ for (int c=0; c<vhh.at(m)->components(rl); ++c) {
+ assert (tmpcnts.at(ind_rc(m,rl,c)) == homecnts.at(ind_rc(m,rl,c)));
+ }
+ }
+ }
+
+ // Transfer coordinate patches
+ for (comm_state<dim> state; !state.done(); state.step()) {
+ for (int p=0; p<nprocs; ++p) {
+ for (int rl=minrl; rl<maxrl; ++rl) {
+ for (int c=0; c<vhh.at(m)->components(rl); ++c) {
+ allcoords.at(ind_prc(p,m,rl,c)).change_processor
+ (state, vhh.at(m)->processors.at(rl).at(c));
+ }
+ }
+ }
+ }
+
+
+
+ // Create output patches
+ vector<data<CCTK_REAL,dim> > alloutputs
+ (nprocs * (maxrl-minrl) * maxncomps, -1);
+ for (int p=0; p<nprocs; ++p) {
+ for (int rl=minrl; rl<maxrl; ++rl) {
+ for (int c=0; c<vhh.at(m)->components(rl); ++c) {
+ ivect lo (0);
+ ivect up (1);
+ up[0] = allhomecnts.at(ind_prc(p,m,rl,c));
+ up[1] = N_output_arrays;
+ ivect str (1);
+ ibbox extent (lo, up-str, str);
+ alloutputs.at(ind_prc(p,m,rl,c)).allocate
+ (extent, vhh.at(m)->processors.at(rl).at(c));
+ }
+ }
+ }
+
+
+
+ //
+ // Do the local interpolation
+ //
+ int overall_ierr = 0;
+ BEGIN_GLOBAL_MODE(cgh) {
+ for (int rl=minrl; rl<maxrl; ++rl) {
+ enter_level_mode (const_cast<cGH*>(cgh), rl);
+
+ // Number of necessary time levels
+ CCTK_REAL const level_time = cgh->cctk_time / cgh->cctk_delta_time;
+ bool const need_time_interp
+ = (fabs(current_time - level_time)
+ > 1e-12 * (fabs(level_time) + fabs(current_time)
+ + fabs(cgh->cctk_delta_time)));
+ assert (! (! want_global_mode && need_time_interp));
+ int const num_tl = need_time_interp ? prolongation_order_time + 1 : 1;
+
+ BEGIN_MAP_LOOP(cgh, CCTK_GF) {
+ BEGIN_LOCAL_COMPONENT_LOOP(cgh, CCTK_GF) {
+
+ // Find out about the local geometry
+ ivect lsh;
+ rvect coord_origin, coord_delta;
+ for (int d=0; d<dim; ++d) {
+ lsh[d] = cgh->cctk_lsh[d];
+ coord_delta[d] = cgh->cctk_delta_space[d] / cgh->cctk_levfac[d];
+ coord_origin[d] = cgh->cctk_origin_space[d] + (cgh->cctk_lbnd[d] + 1.0 * cgh->cctk_levoff[d] / cgh->cctk_levoffdenom[d]) * coord_delta[d];
+ }
+
+
+
+ // Find out about the grid functions
+ vector<CCTK_INT> input_array_type_codes(N_input_arrays);
+ vector<const void *> input_arrays(N_input_arrays);
+ for (int n=0; n<N_input_arrays; ++n) {
+ if (input_array_variable_indices[n] == -1) {
+
+ // Ignore this entry
+ input_array_type_codes.at(n) = -1;
+
+ } else {
+
+ int const vi = input_array_variable_indices[n];
+ assert (vi>=0 && vi<CCTK_NumVars());
+
+ int const gi = CCTK_GroupIndexFromVarI (vi);
+ assert (gi>=0 && gi<CCTK_NumGroups());
+
+ cGroup group;
+ ierr = CCTK_GroupData (gi, &group);
+ assert (!ierr);
+ assert (group.grouptype == CCTK_GF);
+ assert (group.dim == dim);
+ assert (group.disttype == CCTK_DISTRIB_DEFAULT);
+ assert (group.stagtype == 0); // not staggered
+
+ int interp_ntls = GetInterpNumTimelevels(cgh, gi);
+ // If -ve then key wasn't set; use all timelevels.
+ if (interp_ntls < 0) interp_ntls = group.numtimelevels;
+
+ // TODO: emit better warning
+ if ((num_tl > group.numtimelevels)&&
+ (interp_ntls > group.numtimelevels)) {
+ CCTK_VWarn(0, __LINE__,__FILE__,"CarpetInterp",
+ "Tried to interpolate variable '%s' "
+ "in time.\nIt has insufficient timelevels "
+ "(%d are required).",
+ CCTK_FullName(vi),
+ min(num_tl,interp_ntls));
+ }
+ assert (group.numtimelevels >= min(num_tl,interp_ntls));
+
+ input_array_type_codes.at(n) = group.vartype;
+
+ }
+ } // for input arrays
+
+
+
+ // Work on the data from all processors
+ for (int p=0; p<nprocs; ++p) {
+ assert (allcoords.at(ind_prc(p,m,reflevel,component)).owns_storage());
+ assert (allhomecnts.at(ind_prc(p,m,reflevel,component)) == allcoords.at(ind_prc(p,m,reflevel,component)).shape()[0]);
+ assert (allhomecnts.at(ind_prc(p,m,reflevel,component)) == alloutputs.at(ind_prc(p,m,reflevel,component)).shape()[0]);
+
+ int const npoints = allhomecnts.at(ind_prc(p,m,reflevel,component));
+
+ // Do the processor-local interpolation
+ vector<const void *> tmp_interp_coords (dim);
+ for (int d=0; d<dim; ++d) {
+ tmp_interp_coords.at(d) = &allcoords.at(ind_prc(p,m,reflevel,component))[ivect(0,d,0)];
+ }
+
+
+
+ vector<vector<void *> > tmp_output_arrays (num_tl);
+
+ for (int tl=0; tl<num_tl; ++tl) {
+
+ for (int n=0; n<N_input_arrays; ++n) {
+
+ int const vi = input_array_variable_indices[n];
+ assert (vi>=0 && vi<CCTK_NumVars());
+
+ int const gi = CCTK_GroupIndexFromVarI (vi);
+ assert (gi>=0 && gi<CCTK_NumGroups());
+
+ int interp_ntls = GetInterpNumTimelevels(cgh, gi);
+ // If -ve then key wasn't set; use all timelevels.
+ if (interp_ntls < 0) interp_ntls = num_tl;
+
+ if (input_array_variable_indices[n] == -1) {
+ input_arrays.at(n) = 0;
+ } else if (tl > interp_ntls-1) {
+ // Do the interpolation anyway, just from
+ // an earlier timelevel.
+ int const vi = input_array_variable_indices[n];
+ assert (vi>=0 && vi<CCTK_NumVars());
+ input_arrays.at(n) =
+ CCTK_VarDataPtrI (cgh, interp_ntls-1, vi);
+ } else {
+ int const vi = input_array_variable_indices[n];
+ assert (vi>=0 && vi<CCTK_NumVars());
+ input_arrays.at(n) = CCTK_VarDataPtrI (cgh, tl, vi);
+ }
+ } // for input arrays
+
+ tmp_output_arrays.at(tl).resize (N_output_arrays);
+ for (int j=0; j<N_output_arrays; ++j) {
+ assert (output_array_type_codes[j] == CCTK_VARIABLE_REAL);
+ if (need_time_interp) {
+ tmp_output_arrays.at(tl).at(j) = new CCTK_REAL [npoints];
+ } else {
+ tmp_output_arrays.at(tl).at(j) = &alloutputs.at(ind_prc(p,m,reflevel,component))[ivect(0,j,0)];
+ }
+ }
+
+ ierr = CCTK_InterpLocalUniform
+ (N_dims, local_interp_handle, param_table_handle,
+ &coord_origin[0], &coord_delta[0],
+ npoints,
+ interp_coords_type_code, &tmp_interp_coords[0],
+ N_input_arrays, &lsh[0],
+ &input_array_type_codes[0], &input_arrays[0],
+ N_output_arrays,
+ output_array_type_codes, &tmp_output_arrays.at(tl)[0]);
+ if (ierr) {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "The local interpolator returned the error code %d", ierr);
+ }
+ overall_ierr = min(overall_ierr, ierr);
+
+ } // for tl
+
+ // Interpolate in time, if necessary
+ if (need_time_interp) {
+
+ for (int j=0; j<N_output_arrays; ++j) {
+
+ // Find output variable indices
+ vector<CCTK_INT> operand_indices (N_output_arrays);
+ ierr = Util_TableGetIntArray
+ (param_table_handle, N_output_arrays,
+ &operand_indices.front(), "operand_indices");
+ if (ierr == UTIL_ERROR_TABLE_NO_SUCH_KEY) {
+ assert (N_output_arrays == N_input_arrays);
+ for (int m=0; m<N_output_arrays; ++m) {
+ operand_indices.at(m) = m;
+ }
+ } else {
+ assert (ierr == N_output_arrays);
+ }
+
+ // Find input array for this output array
+ int const n = operand_indices.at(j);
+
+ int const vi = input_array_variable_indices[n];
+ assert (vi>=0 && vi<CCTK_NumVars());
+
+ int const gi = CCTK_GroupIndexFromVarI (vi);
+ assert (gi>=0 && gi<CCTK_NumGroups());
+
+ int interp_ntls = GetInterpNumTimelevels(cgh, gi);
+ // If -ve then key wasn't set; use all timelevels.
+ if (interp_ntls < 0) interp_ntls = num_tl;
+
+ // Get interpolation times
+ CCTK_REAL const time = current_time;
+ vector<CCTK_REAL> times(interp_ntls);
+ for (int tl=0; tl<interp_ntls; ++tl) {
+ times.at(tl) = vtt.at(m)->time (-tl, reflevel, mglevel);
+ }
+
+ // Calculate interpolation weights
+ vector<CCTK_REAL> tfacs(interp_ntls);
+ switch (interp_ntls) {
+ case 1:
+ // no interpolation
+ // We have to assume that any GF with one timelevel
+ // is constant in time!!!
+ // assert (fabs((time - times.at(0)) / fabs(time + times.at(0) + cgh->cctk_delta_time)) < 1e-12);
+ tfacs.at(0) = 1.0;
+ break;
+ case 2:
+ // linear (2-point) interpolation
+ tfacs.at(0) = (time - times.at(1)) / (times.at(0) - times.at(1));
+ tfacs.at(1) = (time - times.at(0)) / (times.at(1) - times.at(0));
+ break;
+ case 3:
+ // quadratic (3-point) interpolation
+ tfacs.at(0) = (time - times.at(1)) * (time - times.at(2)) / ((times.at(0) - times.at(1)) * (times.at(0) - times.at(2)));
+ tfacs.at(1) = (time - times.at(0)) * (time - times.at(2)) / ((times.at(1) - times.at(0)) * (times.at(1) - times.at(2)));
+ tfacs.at(2) = (time - times.at(0)) * (time - times.at(1)) / ((times.at(2) - times.at(0)) * (times.at(2) - times.at(1)));
+ break;
+ default:
+ assert (0);
+ }
+
+ // Interpolate
+ assert (output_array_type_codes[j] == CCTK_VARIABLE_REAL);
+ for (int k=0; k<npoints; ++k) {
+ CCTK_REAL & dest = alloutputs.at(ind_prc(p,m,reflevel,component))[ivect(k,j,0)];
+ dest = 0;
+ for (int tl=0; tl<interp_ntls; ++tl) {
+ CCTK_REAL const src = ((CCTK_REAL const *)tmp_output_arrays.at(tl).at(j))[k];
+ dest += tfacs[tl] * src;
+ }
+ }
+ }
+
+ for (int tl=0; tl<num_tl; ++tl) {
+ for (int j=0; j<N_output_arrays; ++j) {
+ delete [] (CCTK_REAL *)tmp_output_arrays.at(tl).at(j);
+ }
+ }
+
+ } // if need_time_interp
+
+ } // for processors
+
+ } END_LOCAL_COMPONENT_LOOP;
+ } END_MAP_LOOP;
+
+ leave_level_mode (const_cast<cGH*>(cgh));
+ } // for rl
+
+ } END_GLOBAL_MODE;
+
+
+
+ // Transfer output patches back
+ for (comm_state<dim> state; !state.done(); state.step()) {
+ for (int p=0; p<nprocs; ++p) {
+ for (int rl=minrl; rl<maxrl; ++rl) {
+ for (int c=0; c<vhh.at(m)->components(rl); ++c) {
+ alloutputs.at(ind_prc(p,m,rl,c)).change_processor (state, p);
+ }
+ }
+ }
+ }
+
+
+
+ // Read out local output patches
+ {
+ vector<int> tmpcnts ((maxrl-minrl) * maxncomps);
+ for (int n=0; n<N_interp_points; ++n) {
+ int const rl = rlev.at(n);
+ int const c = home.at(n);
+ for (int j=0; j<N_output_arrays; ++j) {
+ assert (interp_coords_type_code == CCTK_VARIABLE_REAL);
+ assert (alloutputs.at(ind_prc(myproc,m,rl,c)).owns_storage());
+ assert (output_arrays);
+ assert (output_arrays[j]);
+ static_cast<CCTK_REAL *>(output_arrays[j])[n] = alloutputs.at(ind_prc(myproc,m,rl,c))[ivect(tmpcnts.at(ind_rc(m,rl,c)),j,0)];
+ }
+ ++ tmpcnts.at(ind_rc(m,rl,c));
+ }
+ for (int rl=minrl; rl<maxrl; ++rl) {
+ for (int c=0; c<vhh.at(m)->components(rl); ++c) {
+ assert (tmpcnts.at(ind_rc(m,rl,c)) == homecnts.at(ind_rc(m,rl,c)));
+ }
+ }
+ }
+
+
+
+ int global_overall_ierr;
+ MPI_Allreduce
+ (&overall_ierr, &global_overall_ierr, 1, MPI_INT, MPI_MIN, comm);
+
+
+
+ // Done.
+ return global_overall_ierr;
+ }
+
+} // namespace CarpetInterp
diff --git a/Carpet/CarpetInterp/src/interp.h b/Carpet/CarpetInterp/src/interp.h
new file mode 100644
index 000000000..4600c6922
--- /dev/null
+++ b/Carpet/CarpetInterp/src/interp.h
@@ -0,0 +1,19 @@
+/* $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetInterp/src/interp.h,v 1.2 2003/11/05 16:18:38 schnetter Exp $ */
+
+#ifndef CARPETINTERP_H
+#define CARPETINTERP_H
+
+#ifdef __cplusplus
+namespace CarpetInterp {
+ extern "C" {
+#endif
+
+ /* Scheduled functions */
+ void CarpetInterpStartup (void);
+
+#ifdef __cplusplus
+ } /* extern "C" */
+} /* namespace CarpetInterp */
+#endif
+
+#endif /* !defined(CARPETINTERP_H) */
diff --git a/Carpet/CarpetInterp/src/interp.hh b/Carpet/CarpetInterp/src/interp.hh
new file mode 100644
index 000000000..db0d1360a
--- /dev/null
+++ b/Carpet/CarpetInterp/src/interp.hh
@@ -0,0 +1,29 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetInterp/src/interp.hh,v 1.2 2004/05/21 18:12:23 schnetter Exp $
+
+#ifndef CARPETINTERP_HH
+#define CARPETINTERP_HH
+
+#include "cctk.h"
+
+#include "interp.h"
+
+namespace CarpetInterp {
+
+ int
+ InterpGridArrays (cGH const * const cGH,
+ int const N_dims,
+ int const local_interp_handle,
+ int const param_table_handle,
+ int const coord_system_handle,
+ int const N_interp_points,
+ int const interp_coords_type_code,
+ void const * const interp_coords [],
+ int const N_input_arrays,
+ CCTK_INT const input_array_variable_indices [],
+ int const N_output_arrays,
+ CCTK_INT const output_array_type_codes [],
+ void * const output_arrays []);
+
+} // namespace CarpetInterp
+
+#endif // !defined(CARPETINTERP_HH)
diff --git a/Carpet/CarpetInterp/src/make.code.defn b/Carpet/CarpetInterp/src/make.code.defn
new file mode 100644
index 000000000..8511e0de3
--- /dev/null
+++ b/Carpet/CarpetInterp/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn CarpetInterp
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetInterp/src/make.code.defn,v 1.2 2003/04/30 12:37:31 schnetter Exp $
+
+# Source files in this directory
+SRCS = interp.cc
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/Carpet/CarpetInterp/test/waveinterp.par b/Carpet/CarpetInterp/test/waveinterp.par
new file mode 100644
index 000000000..236ff3d04
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp.par
@@ -0,0 +1,144 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetInterp/test/waveinterp.par,v 1.1 2004/08/05 11:22:32 schnetter Exp $
+
+Cactus::cctk_run_title = "WaveToy Interpolation Test"
+Cactus::cctk_full_warnings = yes
+
+Cactus::terminate = time
+Cactus::cctk_final_time = 0.1
+
+
+
+ActiveThorns = "IOUtil"
+
+IO::out_dir = $parfile
+
+
+
+ActiveThorns = "LocalInterp AEILocalInterp"
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetInterp CarpetReduce CarpetSlab"
+
+Carpet::domain_from_coordbase = yes
+Carpet::max_refinement_levels = 20
+
+driver::ghost_size = 2
+Carpet::buffer_width = 4
+
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+
+Carpet::convergence_level = 0
+
+Carpet::init_3_timelevels = yes
+
+CarpetLib::save_memory_during_regridding = yes
+
+
+
+ActiveThorns = "NaNChecker"
+
+
+
+ActiveThorns = "Boundary CartGrid3D CoordBase SymBase"
+
+CoordBase::domainsize = minmax
+
+CoordBase::xmin = -1.0
+CoordBase::ymin = -1.0
+CoordBase::zmin = -1.0
+CoordBase::xmax = 1.0
+CoordBase::ymax = 1.0
+CoordBase::zmax = 1.0
+CoordBase::dx = 0.1
+CoordBase::dy = 0.1
+CoordBase::dz = 0.1
+
+CartGrid3D::type = coordbase
+CartGrid3D::avoid_origin = no
+
+
+
+ActiveThorns = "CarpetRegrid"
+
+CarpetRegrid::refinement_levels = 3
+CarpetRegrid::refined_regions = manual-coordinate-list
+CarpetRegrid::smart_outer_boundaries = yes
+CarpetRegrid::coordinates = "
+ [ [ ([-0.4,-0.4,-0.4]:[+0.4,+0.4,+0.4]:[0.0500,0.0500,0.0500]) ],
+ [ ([-0.2,-0.2,-0.2]:[+0.2,+0.2,+0.2]:[0.0250,0.0250,0.0250]) ],
+ [ ([-0.1,-0.1,-0.1]:[+0.1,+0.1,+0.1]:[0.0125,0.0125,0.0125]) ] ]
+"
+CarpetRegrid::keep_same_grid_structure = yes
+
+
+
+ActiveThorns = "Time"
+
+Time::dtfac = 0.25
+
+
+
+ActiveThorns = "MoL"
+
+MoL::ODE_Method = RK3
+
+
+
+ActiveThorns = "WaveMoL"
+
+
+
+ActiveThorns = "IDWaveMoL"
+
+IDWaveMoL::initial_data = plane
+IDWaveMoL::slopet = 1.0
+
+
+
+ActiveThorns = "InterpToArray"
+
+InterpToArray::narrays1d = 1
+InterpToArray::array1d_vars[0] = "WaveMoL::phi"
+InterpToArray::array1d_npoints_i = 10
+InterpToArray::array1d_dx_i = 0.1
+
+
+
+ActiveThorns = "IOBasic"
+
+IOBasic::outInfo_every = 1
+IOBasic::outInfo_reductions = "norm2"
+IOBasic::outInfo_vars = "
+ WaveMoL::phi
+ WaveMoL::phit
+ WaveMoL::phix
+"
+
+
+
+ActiveThorns = "CarpetIOScalar"
+
+IOScalar::outScalar_every = 1
+IOScalar::outScalar_vars = "
+ WaveMoL::scalarevolvemol_scalar
+ WaveMoL::scalarevolvemol_vector
+"
+
+
+
+ActiveThorns = "CarpetIOASCII"
+
+IOASCII::out0D_every = 1
+IOASCII::out0D_vars = "
+ WaveMoL::scalarevolvemol_scalar
+ WaveMoL::scalarevolvemol_vector
+"
+
+IOASCII::out1D_every = 1
+IOASCII::out1D_vars = "
+ WaveMoL::scalarevolvemol_scalar
+ WaveMoL::scalarevolvemol_vector
+ InterpToArray::arrays1d
+"
diff --git a/Carpet/CarpetInterp/test/waveinterp/arrays1d[0].x.asc b/Carpet/CarpetInterp/test/waveinterp/arrays1d[0].x.asc
new file mode 100644
index 000000000..304036ac8
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/arrays1d[0].x.asc
@@ -0,0 +1,257 @@
+# INTERPTOARRAY::arrays1d[0] x (arrays1d[0])
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 0 0 0 0 0 0 1
+0 0 0 0 0 1 0 0 0 1 0 0 1
+0 0 0 0 0 2 0 0 0 2 0 0 1
+0 0 0 0 0 3 0 0 0 3 0 0 1
+0 0 0 0 0 4 0 0 0 4 0 0 1
+0 0 0 0 0 5 0 0 0 5 0 0 1
+0 0 0 0 0 6 0 0 0 6 0 0 1
+0 0 0 0 0 7 0 0 0 7 0 0 1
+0 0 0 0 0 8 0 0 0 8 0 0 1
+0 0 0 0 0 9 0 0 0 9 0 0 1
+
+
+# iteration 131072
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 0 0 0 0 0 0 0.00625 0 0 0 1.00625
+131072 0 0 0 0 1 0 0 0.00625 1 0 0 1.00625
+131072 0 0 0 0 2 0 0 0.00625 2 0 0 1.00625
+131072 0 0 0 0 3 0 0 0.00625 3 0 0 1.00625
+131072 0 0 0 0 4 0 0 0.00625 4 0 0 1.00625
+131072 0 0 0 0 5 0 0 0.00625 5 0 0 1.00625
+131072 0 0 0 0 6 0 0 0.00625 6 0 0 1.00625
+131072 0 0 0 0 7 0 0 0.00625 7 0 0 1.00625
+131072 0 0 0 0 8 0 0 0.00625 8 0 0 1.00625
+131072 0 0 0 0 9 0 0 0.00625 9 0 0 1.00625
+
+
+# iteration 262144
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 0 0 0 0 0 0 0.0125 0 0 0 1.0125
+262144 0 0 0 0 1 0 0 0.0125 1 0 0 1.01250000000873
+262144 0 0 0 0 2 0 0 0.0125 2 0 0 1.0125
+262144 0 0 0 0 3 0 0 0.0125 3 0 0 1.0125
+262144 0 0 0 0 4 0 0 0.0125 4 0 0 1.0125
+262144 0 0 0 0 5 0 0 0.0125 5 0 0 1.0125
+262144 0 0 0 0 6 0 0 0.0125 6 0 0 1.0125
+262144 0 0 0 0 7 0 0 0.0125 7 0 0 1.0125
+262144 0 0 0 0 8 0 0 0.0125 8 0 0 1.0125
+262144 0 0 0 0 9 0 0 0.0125 9 0 0 1.0125
+
+
+# iteration 393216
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 0 0 0 0 0 0 0.01875 0 0 0 1.01875
+393216 0 0 0 0 1 0 0 0.01875 1 0 0 1.01875000002589
+393216 0 0 0 0 2 0 0 0.01875 2 0 0 1.01874999999937
+393216 0 0 0 0 3 0 0 0.01875 3 0 0 1.01875
+393216 0 0 0 0 4 0 0 0.01875 4 0 0 1.01875
+393216 0 0 0 0 5 0 0 0.01875 5 0 0 1.01875
+393216 0 0 0 0 6 0 0 0.01875 6 0 0 1.01875
+393216 0 0 0 0 7 0 0 0.01875 7 0 0 1.01875
+393216 0 0 0 0 8 0 0 0.01875 8 0 0 1.01875
+393216 0 0 0 0 9 0 0 0.01875 9 0 0 1.01875
+
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 0 0 0 0.025 0 0 0 1.02500000000002
+524288 0 0 0 0 1 0 0 0.025 1 0 0 1.02500000004247
+524288 0 0 0 0 2 0 0 0.025 2 0 0 1.02499999999832
+524288 0 0 0 0 3 0 0 0.025 3 0 0 1.025
+524288 0 0 0 0 4 0 0 0.025 4 0 0 1.025
+524288 0 0 0 0 5 0 0 0.025 5 0 0 1.025
+524288 0 0 0 0 6 0 0 0.025 6 0 0 1.025
+524288 0 0 0 0 7 0 0 0.025 7 0 0 1.025
+524288 0 0 0 0 8 0 0 0.025 8 0 0 1.025
+524288 0 0 0 0 9 0 0 0.025 9 0 0 1.025
+
+
+# iteration 655360
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 0 0 0 0 0 0 0.03125 0 0 0 1.0312500000001
+655360 0 0 0 0 1 0 0 0.03125 1 0 0 1.03125000005828
+655360 0 0 0 0 2 0 0 0.03125 2 0 0 1.03124999999702
+655360 0 0 0 0 3 0 0 0.03125 3 0 0 1.03125000000003
+655360 0 0 0 0 4 0 0 0.03125 4 0 0 1.03125
+655360 0 0 0 0 5 0 0 0.03125 5 0 0 1.03125
+655360 0 0 0 0 6 0 0 0.03125 6 0 0 1.03125
+655360 0 0 0 0 7 0 0 0.03125 7 0 0 1.03125
+655360 0 0 0 0 8 0 0 0.03125 8 0 0 1.03125
+655360 0 0 0 0 9 0 0 0.03125 9 0 0 1.03125
+
+
+# iteration 786432
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 0 0 0 0 0 0 0.0375 0 0 0 1.03750000000037
+786432 0 0 0 0 1 0 0 0.0375 1 0 0 1.0375000000732
+786432 0 0 0 0 2 0 0 0.0375 2 0 0 1.03749999999542
+786432 0 0 0 0 3 0 0 0.0375 3 0 0 1.03750000000009
+786432 0 0 0 0 4 0 0 0.0375 4 0 0 1.03749999999999
+786432 0 0 0 0 5 0 0 0.0375 5 0 0 1.0375
+786432 0 0 0 0 6 0 0 0.0375 6 0 0 1.0375
+786432 0 0 0 0 7 0 0 0.0375 7 0 0 1.0375
+786432 0 0 0 0 8 0 0 0.0375 8 0 0 1.0375
+786432 0 0 0 0 9 0 0 0.0375 9 0 0 1.0375
+
+
+# iteration 917504
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 0 0 0 0 0 0 0.04375 0 0 0 1.043750000001
+917504 0 0 0 0 1 0 0 0.04375 1 0 0 1.04375000008715
+917504 0 0 0 0 2 0 0 0.04375 2 0 0 1.04374999999437
+917504 0 0 0 0 3 0 0 0.04375 3 0 0 1.04375000000016
+917504 0 0 0 0 4 0 0 0.04375 4 0 0 1.04374999999999
+917504 0 0 0 0 5 0 0 0.04375 5 0 0 1.04375
+917504 0 0 0 0 6 0 0 0.04375 6 0 0 1.04375
+917504 0 0 0 0 7 0 0 0.04375 7 0 0 1.04375
+917504 0 0 0 0 8 0 0 0.04375 8 0 0 1.04375
+917504 0 0 0 0 9 0 0 0.04375 9 0 0 1.04375
+
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 0 0 0 0.05 0 0 0 1.05000000000227
+1048576 0 0 0 0 1 0 0 0.05 1 0 0 1.05000000010013
+1048576 0 0 0 0 2 0 0 0.05 2 0 0 1.04999999999358
+1048576 0 0 0 0 3 0 0 0.05 3 0 0 1.05000000000024
+1048576 0 0 0 0 4 0 0 0.05 4 0 0 1.04999999999998
+1048576 0 0 0 0 5 0 0 0.05 5 0 0 1.05
+1048576 0 0 0 0 6 0 0 0.05 6 0 0 1.05
+1048576 0 0 0 0 7 0 0 0.05 7 0 0 1.05
+1048576 0 0 0 0 8 0 0 0.05 8 0 0 1.05
+1048576 0 0 0 0 9 0 0 0.05 9 0 0 1.05
+
+
+# iteration 1179648
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 0 0 0 0 0 0 0.05625 0 0 0 1.05625000000452
+1179648 0 0 0 0 1 0 0 0.05625 1 0 0 1.05625000011224
+1179648 0 0 0 0 2 0 0 0.05625 2 0 0 1.05624999999326
+1179648 0 0 0 0 3 0 0 0.05625 3 0 0 1.0562500000004
+1179648 0 0 0 0 4 0 0 0.05625 4 0 0 1.05624999999997
+1179648 0 0 0 0 5 0 0 0.05625 5 0 0 1.05625
+1179648 0 0 0 0 6 0 0 0.05625 6 0 0 1.05625
+1179648 0 0 0 0 7 0 0 0.05625 7 0 0 1.05625
+1179648 0 0 0 0 8 0 0 0.05625 8 0 0 1.05625
+1179648 0 0 0 0 9 0 0 0.05625 9 0 0 1.05625
+
+
+# iteration 1310720
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 0 0 0 0 0 0 0.0625 0 0 0 1.0625000000082
+1310720 0 0 0 0 1 0 0 0.0625 1 0 0 1.06250000012362
+1310720 0 0 0 0 2 0 0 0.0625 2 0 0 1.06249999999333
+1310720 0 0 0 0 3 0 0 0.0625 3 0 0 1.06250000000062
+1310720 0 0 0 0 4 0 0 0.0625 4 0 0 1.06249999999994
+1310720 0 0 0 0 5 0 0 0.0625 5 0 0 1.0625
+1310720 0 0 0 0 6 0 0 0.0625 6 0 0 1.0625
+1310720 0 0 0 0 7 0 0 0.0625 7 0 0 1.0625
+1310720 0 0 0 0 8 0 0 0.0625 8 0 0 1.0625
+1310720 0 0 0 0 9 0 0 0.0625 9 0 0 1.0625
+
+
+# iteration 1441792
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 0 0 0 0 0 0 0.06875 0 0 0 1.0687500000138
+1441792 0 0 0 0 1 0 0 0.06875 1 0 0 1.06875000013445
+1441792 0 0 0 0 2 0 0 0.06875 2 0 0 1.068749999994
+1441792 0 0 0 0 3 0 0 0.06875 3 0 0 1.06875000000088
+1441792 0 0 0 0 4 0 0 0.06875 4 0 0 1.06874999999991
+1441792 0 0 0 0 5 0 0 0.06875 5 0 0 1.06875
+1441792 0 0 0 0 6 0 0 0.06875 6 0 0 1.06875
+1441792 0 0 0 0 7 0 0 0.06875 7 0 0 1.06875
+1441792 0 0 0 0 8 0 0 0.06875 8 0 0 1.06875
+1441792 0 0 0 0 9 0 0 0.06875 9 0 0 1.06875
+
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 0 0 0 0.075 0 0 0 1.07500000002188
+1572864 0 0 0 0 1 0 0 0.075 1 0 0 1.07500000014499
+1572864 0 0 0 0 2 0 0 0.075 2 0 0 1.07499999999519
+1572864 0 0 0 0 3 0 0 0.075 3 0 0 1.07500000000118
+1572864 0 0 0 0 4 0 0 0.075 4 0 0 1.07499999999987
+1572864 0 0 0 0 5 0 0 0.075 5 0 0 1.075
+1572864 0 0 0 0 6 0 0 0.075 6 0 0 1.075
+1572864 0 0 0 0 7 0 0 0.075 7 0 0 1.075
+1572864 0 0 0 0 8 0 0 0.075 8 0 0 1.075
+1572864 0 0 0 0 9 0 0 0.075 9 0 0 1.075
+
+
+# iteration 1703936
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 0 0 0 0 0 0 0.08125 0 0 0 1.08125000003301
+1703936 0 0 0 0 1 0 0 0.08125 1 0 0 1.08125000015544
+1703936 0 0 0 0 2 0 0 0.08125 2 0 0 1.08124999999712
+1703936 0 0 0 0 3 0 0 0.08125 3 0 0 1.0812500000015
+1703936 0 0 0 0 4 0 0 0.08125 4 0 0 1.08124999999982
+1703936 0 0 0 0 5 0 0 0.08125 5 0 0 1.08125000000001
+1703936 0 0 0 0 6 0 0 0.08125 6 0 0 1.08125
+1703936 0 0 0 0 7 0 0 0.08125 7 0 0 1.08125
+1703936 0 0 0 0 8 0 0 0.08125 8 0 0 1.08125
+1703936 0 0 0 0 9 0 0 0.08125 9 0 0 1.08125
+
+
+# iteration 1835008
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 0 0 0 0 0 0 0.0875 0 0 0 1.08750000004775
+1835008 0 0 0 0 1 0 0 0.0875 1 0 0 1.08750000016605
+1835008 0 0 0 0 2 0 0 0.0875 2 0 0 1.08749999999972
+1835008 0 0 0 0 3 0 0 0.0875 3 0 0 1.08750000000186
+1835008 0 0 0 0 4 0 0 0.0875 4 0 0 1.08749999999977
+1835008 0 0 0 0 5 0 0 0.0875 5 0 0 1.08750000000001
+1835008 0 0 0 0 6 0 0 0.0875 6 0 0 1.0875
+1835008 0 0 0 0 7 0 0 0.0875 7 0 0 1.0875
+1835008 0 0 0 0 8 0 0 0.0875 8 0 0 1.0875
+1835008 0 0 0 0 9 0 0 0.0875 9 0 0 1.0875
+
+
+# iteration 1966080
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 0 0 0 0 0 0 0.09375 0 0 0 1.09375000006661
+1966080 0 0 0 0 1 0 0 0.09375 1 0 0 1.09375000017699
+1966080 0 0 0 0 2 0 0 0.09375 2 0 0 1.09375000000317
+1966080 0 0 0 0 3 0 0 0.09375 3 0 0 1.09375000000225
+1966080 0 0 0 0 4 0 0 0.09375 4 0 0 1.09374999999971
+1966080 0 0 0 0 5 0 0 0.09375 5 0 0 1.09375000000002
+1966080 0 0 0 0 6 0 0 0.09375 6 0 0 1.09375
+1966080 0 0 0 0 7 0 0 0.09375 7 0 0 1.09375
+1966080 0 0 0 0 8 0 0 0.09375 8 0 0 1.09375
+1966080 0 0 0 0 9 0 0 0.09375 9 0 0 1.09375
+
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 0 0 0 0.1 0 0 0 1.10000000009002
+2097152 0 0 0 0 1 0 0 0.1 1 0 0 1.10000000018839
+2097152 0 0 0 0 2 0 0 0.1 2 0 0 1.10000000000743
+2097152 0 0 0 0 3 0 0 0.1 3 0 0 1.10000000000268
+2097152 0 0 0 0 4 0 0 0.1 4 0 0 1.09999999999964
+2097152 0 0 0 0 5 0 0 0.1 5 0 0 1.10000000000003
+2097152 0 0 0 0 6 0 0 0.1 6 0 0 1.1
+2097152 0 0 0 0 7 0 0 0.1 7 0 0 1.1
+2097152 0 0 0 0 8 0 0 0.1 8 0 0 1.1
+2097152 0 0 0 0 9 0 0 0.1 9 0 0 1.1
+
+
diff --git a/Carpet/CarpetInterp/test/waveinterp/phi..asc b/Carpet/CarpetInterp/test/waveinterp/phi..asc
new file mode 100644
index 000000000..18e004ed4
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phi..asc
@@ -0,0 +1,157 @@
+# WAVEMOL::phi (phi)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 5242880 5242880 5242880 0 0 0 0 1
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 5242880 5242880 5242880 0 0 0 0 1
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 5242880 5242880 5242880 0 0 0 0 1
+
+# iteration 131072
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 2 0 0 5242880 5242880 5242880 0.00625 0 0 0 1.00625
+
+# iteration 262144
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 1 0 0 5242880 5242880 5242880 0.0125 0 0 0 1.0125
+
+# iteration 262144
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 2 0 0 5242880 5242880 5242880 0.0125 0 0 0 1.0125
+
+# iteration 393216
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 2 0 0 5242880 5242880 5242880 0.01875 0 0 0 1.01875
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 5242880 5242880 5242880 0.025 0 0 0 1.02500000000002
+
+# iteration 524288
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 1 0 0 5242880 5242880 5242880 0.025 0 0 0 1.02500000000002
+
+# iteration 524288
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 2 0 0 5242880 5242880 5242880 0.025 0 0 0 1.02500000000002
+
+# iteration 655360
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 2 0 0 5242880 5242880 5242880 0.03125 0 0 0 1.0312500000001
+
+# iteration 786432
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 1 0 0 5242880 5242880 5242880 0.0375 0 0 0 1.03750000000037
+
+# iteration 786432
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 2 0 0 5242880 5242880 5242880 0.0375 0 0 0 1.03750000000037
+
+# iteration 917504
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 2 0 0 5242880 5242880 5242880 0.04375 0 0 0 1.043750000001
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 5242880 5242880 5242880 0.05 0 0 0 1.05000000000227
+
+# iteration 1048576
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 1 0 0 5242880 5242880 5242880 0.05 0 0 0 1.05000000000227
+
+# iteration 1048576
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 2 0 0 5242880 5242880 5242880 0.05 0 0 0 1.05000000000227
+
+# iteration 1179648
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 2 0 0 5242880 5242880 5242880 0.05625 0 0 0 1.05625000000452
+
+# iteration 1310720
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 1 0 0 5242880 5242880 5242880 0.0625 0 0 0 1.0625000000082
+
+# iteration 1310720
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 2 0 0 5242880 5242880 5242880 0.0625 0 0 0 1.0625000000082
+
+# iteration 1441792
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 2 0 0 5242880 5242880 5242880 0.06875 0 0 0 1.0687500000138
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 5242880 5242880 5242880 0.075 0 0 0 1.07500000002188
+
+# iteration 1572864
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 1 0 0 5242880 5242880 5242880 0.075 0 0 0 1.07500000002188
+
+# iteration 1572864
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 2 0 0 5242880 5242880 5242880 0.075 0 0 0 1.07500000002188
+
+# iteration 1703936
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 2 0 0 5242880 5242880 5242880 0.08125 0 0 0 1.08125000003301
+
+# iteration 1835008
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 1 0 0 5242880 5242880 5242880 0.0875 0 0 0 1.08750000004775
+
+# iteration 1835008
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 2 0 0 5242880 5242880 5242880 0.0875 0 0 0 1.08750000004775
+
+# iteration 1966080
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 2 0 0 5242880 5242880 5242880 0.09375 0 0 0 1.09375000006661
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 5242880 5242880 5242880 0.1 0 0 0 1.10000000009002
+
+# iteration 2097152
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 1 0 0 5242880 5242880 5242880 0.1 0 0 0 1.10000000009002
+
+# iteration 2097152
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 2 0 0 5242880 5242880 5242880 0.1 0 0 0 1.10000000009002
+
diff --git a/Carpet/CarpetInterp/test/waveinterp/phi.average.asc b/Carpet/CarpetInterp/test/waveinterp/phi.average.asc
new file mode 100644
index 000000000..bb0d142fb
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phi.average.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phi (phi)
+# iteration time data
+0 0 1
+131072 0.00625 1.00624999999997
+262144 0.0125 1.01249999999981
+393216 0.01875 1.01875000000027
+524288 0.025 1.02499999999997
+655360 0.03125 1.0312500000001
+786432 0.0375 1.0375000000003
+917504 0.04375 1.04374999999973
+1048576 0.05 1.05000000000041
+1179648 0.05625 1.05624999999989
+1310720 0.0625 1.0625000000002
+1441792 0.06875 1.06875000000054
+1572864 0.075 1.07499999999995
+1703936 0.08125 1.08125000000053
+1835008 0.0875 1.08749999999996
+1966080 0.09375 1.09375000000035
+2097152 0.1 1.10000000000075
diff --git a/Carpet/CarpetInterp/test/waveinterp/phi.count.asc b/Carpet/CarpetInterp/test/waveinterp/phi.count.asc
new file mode 100644
index 000000000..b0a049d30
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phi.count.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phi (phi)
+# iteration time data
+0 0 8000
+131072 0.00625 8000
+262144 0.0125 8000
+393216 0.01875 8000
+524288 0.025 8000
+655360 0.03125 8000
+786432 0.0375 8000
+917504 0.04375 8000
+1048576 0.05 8000
+1179648 0.05625 8000
+1310720 0.0625 8000
+1441792 0.06875 8000
+1572864 0.075 8000
+1703936 0.08125 8000
+1835008 0.0875 8000
+1966080 0.09375 8000
+2097152 0.1 8000
diff --git a/Carpet/CarpetInterp/test/waveinterp/phi.maximum.asc b/Carpet/CarpetInterp/test/waveinterp/phi.maximum.asc
new file mode 100644
index 000000000..05ff51f58
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phi.maximum.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phi (phi)
+# iteration time data
+0 0 1
+131072 0.00625 1.00625
+262144 0.0125 1.01250000002619
+393216 0.01875 1.0187500000769
+524288 0.025 1.02500000012428
+655360 0.03125 1.03125000016692
+786432 0.0375 1.03750000020354
+917504 0.04375 1.04375000023321
+1048576 0.05 1.05000000025536
+1179648 0.05625 1.05625000026976
+1310720 0.0625 1.06250000027656
+1441792 0.06875 1.06875000027621
+1572864 0.075 1.07500000026946
+1703936 0.08125 1.08125000025726
+1835008 0.0875 1.0875000002511
+1966080 0.09375 1.09375000024647
+2097152 0.1 1.10000000025568
diff --git a/Carpet/CarpetInterp/test/waveinterp/phi.minimum.asc b/Carpet/CarpetInterp/test/waveinterp/phi.minimum.asc
new file mode 100644
index 000000000..a8804e6f4
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phi.minimum.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phi (phi)
+# iteration time data
+0 0 1
+131072 0.00625 1.00625
+262144 0.0125 1.01249999999836
+393216 0.01875 1.01874999999554
+524288 0.025 1.02499999999139
+655360 0.03125 1.03124999998806
+786432 0.0375 1.03749999998538
+917504 0.04375 1.04374999998195
+1048576 0.05 1.04999999998336
+1179648 0.05625 1.05624999998289
+1310720 0.0625 1.06249999998278
+1441792 0.06875 1.0687499999816
+1572864 0.075 1.07499999997966
+1703936 0.08125 1.08124999997853
+1835008 0.0875 1.08749999997795
+1966080 0.09375 1.0937499999781
+2097152 0.1 1.09999999997878
diff --git a/Carpet/CarpetInterp/test/waveinterp/phi.norm1.asc b/Carpet/CarpetInterp/test/waveinterp/phi.norm1.asc
new file mode 100644
index 000000000..bb0d142fb
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phi.norm1.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phi (phi)
+# iteration time data
+0 0 1
+131072 0.00625 1.00624999999997
+262144 0.0125 1.01249999999981
+393216 0.01875 1.01875000000027
+524288 0.025 1.02499999999997
+655360 0.03125 1.0312500000001
+786432 0.0375 1.0375000000003
+917504 0.04375 1.04374999999973
+1048576 0.05 1.05000000000041
+1179648 0.05625 1.05624999999989
+1310720 0.0625 1.0625000000002
+1441792 0.06875 1.06875000000054
+1572864 0.075 1.07499999999995
+1703936 0.08125 1.08125000000053
+1835008 0.0875 1.08749999999996
+1966080 0.09375 1.09375000000035
+2097152 0.1 1.10000000000075
diff --git a/Carpet/CarpetInterp/test/waveinterp/phi.norm2.asc b/Carpet/CarpetInterp/test/waveinterp/phi.norm2.asc
new file mode 100644
index 000000000..ff855db49
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phi.norm2.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phi (phi)
+# iteration time data
+0 0 1
+131072 0.00625 1.00624999999999
+262144 0.0125 1.0124999999999
+393216 0.01875 1.01874999999995
+524288 0.025 1.02500000000011
+655360 0.03125 1.03125000000009
+786432 0.0375 1.03750000000014
+917504 0.04375 1.04375000000001
+1048576 0.05 1.05000000000015
+1179648 0.05625 1.0562500000002
+1310720 0.0625 1.06250000000019
+1441792 0.06875 1.06875000000013
+1572864 0.075 1.0750000000003
+1703936 0.08125 1.08125000000028
+1835008 0.0875 1.08750000000024
+1966080 0.09375 1.09375000000033
+2097152 0.1 1.1000000000003
diff --git a/Carpet/CarpetInterp/test/waveinterp/phi.norm_inf.asc b/Carpet/CarpetInterp/test/waveinterp/phi.norm_inf.asc
new file mode 100644
index 000000000..05ff51f58
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phi.norm_inf.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phi (phi)
+# iteration time data
+0 0 1
+131072 0.00625 1.00625
+262144 0.0125 1.01250000002619
+393216 0.01875 1.0187500000769
+524288 0.025 1.02500000012428
+655360 0.03125 1.03125000016692
+786432 0.0375 1.03750000020354
+917504 0.04375 1.04375000023321
+1048576 0.05 1.05000000025536
+1179648 0.05625 1.05625000026976
+1310720 0.0625 1.06250000027656
+1441792 0.06875 1.06875000027621
+1572864 0.075 1.07500000026946
+1703936 0.08125 1.08125000025726
+1835008 0.0875 1.0875000002511
+1966080 0.09375 1.09375000024647
+2097152 0.1 1.10000000025568
diff --git a/Carpet/CarpetInterp/test/waveinterp/phi.sum.asc b/Carpet/CarpetInterp/test/waveinterp/phi.sum.asc
new file mode 100644
index 000000000..040f427ea
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phi.sum.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phi (phi)
+# iteration time data
+0 0 8000
+131072 0.00625 8049.99999999976
+262144 0.0125 8099.99999999852
+393216 0.01875 8150.00000000217
+524288 0.025 8199.99999999975
+655360 0.03125 8250.00000000083
+786432 0.0375 8300.00000000237
+917504 0.04375 8349.99999999786
+1048576 0.05 8400.0000000033
+1179648 0.05625 8449.99999999914
+1310720 0.0625 8500.00000000161
+1441792 0.06875 8550.00000000436
+1572864 0.075 8599.9999999996
+1703936 0.08125 8650.00000000424
+1835008 0.0875 8699.99999999966
+1966080 0.09375 8750.0000000028
+2097152 0.1 8800.00000000602
diff --git a/Carpet/CarpetInterp/test/waveinterp/phi.x.asc b/Carpet/CarpetInterp/test/waveinterp/phi.x.asc
new file mode 100644
index 000000000..a19b7f967
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phi.x.asc
@@ -0,0 +1,808 @@
+# WAVEMOL::phi x (phi)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 5242880 5242880 0 -1 0 0 1
+0 0 0 0 0 524288 5242880 5242880 0 -0.9 0 0 1
+0 0 0 0 0 1048576 5242880 5242880 0 -0.8 0 0 1
+0 0 0 0 0 1572864 5242880 5242880 0 -0.7 0 0 1
+0 0 0 0 0 2097152 5242880 5242880 0 -0.6 0 0 1
+0 0 0 0 0 2621440 5242880 5242880 0 -0.5 0 0 1
+0 0 0 0 0 3145728 5242880 5242880 0 -0.4 0 0 1
+0 0 0 0 0 3670016 5242880 5242880 0 -0.3 0 0 1
+0 0 0 0 0 4194304 5242880 5242880 0 -0.2 0 0 1
+0 0 0 0 0 4718592 5242880 5242880 0 -0.1 0 0 1
+0 0 0 0 0 5242880 5242880 5242880 0 0 0 0 1
+0 0 0 0 0 5767168 5242880 5242880 0 0.1 0 0 1
+0 0 0 0 0 6291456 5242880 5242880 0 0.2 0 0 1
+0 0 0 0 0 6815744 5242880 5242880 0 0.3 0 0 1
+0 0 0 0 0 7340032 5242880 5242880 0 0.4 0 0 1
+0 0 0 0 0 7864320 5242880 5242880 0 0.5 0 0 1
+0 0 0 0 0 8388608 5242880 5242880 0 0.6 0 0 1
+0 0 0 0 0 8912896 5242880 5242880 0 0.7 0 0 1
+0 0 0 0 0 9437184 5242880 5242880 0 0.8 0 0 1
+0 0 0 0 0 9961472 5242880 5242880 0 0.9 0 0 1
+0 0 0 0 0 10485760 5242880 5242880 0 1 0 0 1
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 2621440 5242880 5242880 0 -0.5 0 0 1
+0 0 1 0 0 2883584 5242880 5242880 0 -0.45 0 0 1
+0 0 1 0 0 3145728 5242880 5242880 0 -0.4 0 0 1
+0 0 1 0 0 3407872 5242880 5242880 0 -0.35 0 0 1
+0 0 1 0 0 3670016 5242880 5242880 0 -0.3 0 0 1
+0 0 1 0 0 3932160 5242880 5242880 0 -0.25 0 0 1
+0 0 1 0 0 4194304 5242880 5242880 0 -0.2 0 0 1
+0 0 1 0 0 4456448 5242880 5242880 0 -0.15 0 0 1
+0 0 1 0 0 4718592 5242880 5242880 0 -0.1 0 0 1
+0 0 1 0 0 4980736 5242880 5242880 0 -0.05 0 0 1
+0 0 1 0 0 5242880 5242880 5242880 0 0 0 0 1
+0 0 1 0 0 5505024 5242880 5242880 0 0.05 0 0 1
+0 0 1 0 0 5767168 5242880 5242880 0 0.1 0 0 1
+0 0 1 0 0 6029312 5242880 5242880 0 0.15 0 0 1
+0 0 1 0 0 6291456 5242880 5242880 0 0.2 0 0 1
+0 0 1 0 0 6553600 5242880 5242880 0 0.25 0 0 1
+0 0 1 0 0 6815744 5242880 5242880 0 0.3 0 0 1
+0 0 1 0 0 7077888 5242880 5242880 0 0.35 0 0 1
+0 0 1 0 0 7340032 5242880 5242880 0 0.4 0 0 1
+0 0 1 0 0 7602176 5242880 5242880 0 0.45 0 0 1
+0 0 1 0 0 7864320 5242880 5242880 0 0.5 0 0 1
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 3932160 5242880 5242880 0 -0.25 0 0 1
+0 0 2 0 0 4063232 5242880 5242880 0 -0.225 0 0 1
+0 0 2 0 0 4194304 5242880 5242880 0 -0.2 0 0 1
+0 0 2 0 0 4325376 5242880 5242880 0 -0.175 0 0 1
+0 0 2 0 0 4456448 5242880 5242880 0 -0.15 0 0 1
+0 0 2 0 0 4587520 5242880 5242880 0 -0.125 0 0 1
+0 0 2 0 0 4718592 5242880 5242880 0 -0.1 0 0 1
+0 0 2 0 0 4849664 5242880 5242880 0 -0.075 0 0 1
+0 0 2 0 0 4980736 5242880 5242880 0 -0.05 0 0 1
+0 0 2 0 0 5111808 5242880 5242880 0 -0.025 0 0 1
+0 0 2 0 0 5242880 5242880 5242880 0 0 0 0 1
+0 0 2 0 0 5373952 5242880 5242880 0 0.025 0 0 1
+0 0 2 0 0 5505024 5242880 5242880 0 0.05 0 0 1
+0 0 2 0 0 5636096 5242880 5242880 0 0.075 0 0 1
+0 0 2 0 0 5767168 5242880 5242880 0 0.1 0 0 1
+0 0 2 0 0 5898240 5242880 5242880 0 0.125 0 0 1
+0 0 2 0 0 6029312 5242880 5242880 0 0.15 0 0 1
+0 0 2 0 0 6160384 5242880 5242880 0 0.175 0 0 1
+0 0 2 0 0 6291456 5242880 5242880 0 0.2 0 0 1
+0 0 2 0 0 6422528 5242880 5242880 0 0.225 0 0 1
+0 0 2 0 0 6553600 5242880 5242880 0 0.25 0 0 1
+
+
+# iteration 131072
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 2 0 0 3932160 5242880 5242880 0.00625 -0.25 0 0 1.00625
+131072 0 2 0 0 4063232 5242880 5242880 0.00625 -0.225 0 0 1.00625
+131072 0 2 0 0 4194304 5242880 5242880 0.00625 -0.2 0 0 1.00625
+131072 0 2 0 0 4325376 5242880 5242880 0.00625 -0.175 0 0 1.00625
+131072 0 2 0 0 4456448 5242880 5242880 0.00625 -0.15 0 0 1.00625
+131072 0 2 0 0 4587520 5242880 5242880 0.00625 -0.125 0 0 1.00625
+131072 0 2 0 0 4718592 5242880 5242880 0.00625 -0.1 0 0 1.00625
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+131072 0 2 0 0 4980736 5242880 5242880 0.00625 -0.05 0 0 1.00625
+131072 0 2 0 0 5111808 5242880 5242880 0.00625 -0.025 0 0 1.00625
+131072 0 2 0 0 5242880 5242880 5242880 0.00625 0 0 0 1.00625
+131072 0 2 0 0 5373952 5242880 5242880 0.00625 0.025 0 0 1.00625
+131072 0 2 0 0 5505024 5242880 5242880 0.00625 0.05 0 0 1.00625
+131072 0 2 0 0 5636096 5242880 5242880 0.00625 0.075 0 0 1.00625
+131072 0 2 0 0 5767168 5242880 5242880 0.00625 0.1 0 0 1.00625
+131072 0 2 0 0 5898240 5242880 5242880 0.00625 0.125 0 0 1.00625
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+131072 0 2 0 0 6160384 5242880 5242880 0.00625 0.175 0 0 1.00625
+131072 0 2 0 0 6291456 5242880 5242880 0.00625 0.2 0 0 1.00625
+131072 0 2 0 0 6422528 5242880 5242880 0.00625 0.225 0 0 1.00625
+131072 0 2 0 0 6553600 5242880 5242880 0.00625 0.25 0 0 1.00625
+
+
+# iteration 262144
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 1 0 0 2621440 5242880 5242880 0.0125 -0.5 0 0 1.0125
+262144 0 1 0 0 2883584 5242880 5242880 0.0125 -0.45 0 0 1.0125
+262144 0 1 0 0 3145728 5242880 5242880 0.0125 -0.4 0 0 1.0125
+262144 0 1 0 0 3407872 5242880 5242880 0.0125 -0.35 0 0 1.0125
+262144 0 1 0 0 3670016 5242880 5242880 0.0125 -0.3 0 0 1.0125
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+262144 0 1 0 0 4194304 5242880 5242880 0.0125 -0.2 0 0 1.0125
+262144 0 1 0 0 4456448 5242880 5242880 0.0125 -0.15 0 0 1.0125
+262144 0 1 0 0 4718592 5242880 5242880 0.0125 -0.1 0 0 1.01250000000873
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+262144 0 1 0 0 5767168 5242880 5242880 0.0125 0.1 0 0 1.01250000000873
+262144 0 1 0 0 6029312 5242880 5242880 0.0125 0.15 0 0 1.0125
+262144 0 1 0 0 6291456 5242880 5242880 0.0125 0.2 0 0 1.0125
+262144 0 1 0 0 6553600 5242880 5242880 0.0125 0.25 0 0 1.0125
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+262144 0 1 0 0 7077888 5242880 5242880 0.0125 0.35 0 0 1.0125
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+262144 0 1 0 0 7602176 5242880 5242880 0.0125 0.45 0 0 1.0125
+262144 0 1 0 0 7864320 5242880 5242880 0.0125 0.5 0 0 1.0125
+
+
+# iteration 262144
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 2 0 0 3932160 5242880 5242880 0.0125 -0.25 0 0 1.0125
+262144 0 2 0 0 4063232 5242880 5242880 0.0125 -0.225 0 0 1.0125
+262144 0 2 0 0 4194304 5242880 5242880 0.0125 -0.2 0 0 1.0125
+262144 0 2 0 0 4325376 5242880 5242880 0.0125 -0.175 0 0 1.01249999999945
+262144 0 2 0 0 4456448 5242880 5242880 0.0125 -0.15 0 0 1.0125
+262144 0 2 0 0 4587520 5242880 5242880 0.0125 -0.125 0 0 1.01250000000491
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+262144 0 2 0 0 4849664 5242880 5242880 0.0125 -0.075 0 0 1.0125
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+262144 0 2 0 0 5898240 5242880 5242880 0.0125 0.125 0 0 1.01250000000491
+262144 0 2 0 0 6029312 5242880 5242880 0.0125 0.15 0 0 1.0125
+262144 0 2 0 0 6160384 5242880 5242880 0.0125 0.175 0 0 1.01249999999945
+262144 0 2 0 0 6291456 5242880 5242880 0.0125 0.2 0 0 1.0125
+262144 0 2 0 0 6422528 5242880 5242880 0.0125 0.225 0 0 1.0125
+262144 0 2 0 0 6553600 5242880 5242880 0.0125 0.25 0 0 1.0125
+
+
+# iteration 393216
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 2 0 0 3932160 5242880 5242880 0.01875 -0.25 0 0 1.01875
+393216 0 2 0 0 4063232 5242880 5242880 0.01875 -0.225 0 0 1.01874999999964
+393216 0 2 0 0 4194304 5242880 5242880 0.01875 -0.2 0 0 1.01874999999937
+393216 0 2 0 0 4325376 5242880 5242880 0.01875 -0.175 0 0 1.01874999999822
+393216 0 2 0 0 4456448 5242880 5242880 0.01875 -0.15 0 0 1.01875000000001
+393216 0 2 0 0 4587520 5242880 5242880 0.01875 -0.125 0 0 1.01875000001291
+393216 0 2 0 0 4718592 5242880 5242880 0.01875 -0.1 0 0 1.01875000002589
+393216 0 2 0 0 4849664 5242880 5242880 0.01875 -0.075 0 0 1.01875
+393216 0 2 0 0 4980736 5242880 5242880 0.01875 -0.05 0 0 1.01875000000016
+393216 0 2 0 0 5111808 5242880 5242880 0.01875 -0.025 0 0 1.01875
+393216 0 2 0 0 5242880 5242880 5242880 0.01875 0 0 0 1.01875
+393216 0 2 0 0 5373952 5242880 5242880 0.01875 0.025 0 0 1.01875
+393216 0 2 0 0 5505024 5242880 5242880 0.01875 0.05 0 0 1.01875000000016
+393216 0 2 0 0 5636096 5242880 5242880 0.01875 0.075 0 0 1.01875
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+393216 0 2 0 0 5898240 5242880 5242880 0.01875 0.125 0 0 1.01875000001291
+393216 0 2 0 0 6029312 5242880 5242880 0.01875 0.15 0 0 1.01875000000001
+393216 0 2 0 0 6160384 5242880 5242880 0.01875 0.175 0 0 1.01874999999822
+393216 0 2 0 0 6291456 5242880 5242880 0.01875 0.2 0 0 1.01874999999937
+393216 0 2 0 0 6422528 5242880 5242880 0.01875 0.225 0 0 1.01874999999964
+393216 0 2 0 0 6553600 5242880 5242880 0.01875 0.25 0 0 1.01875
+
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 0 5242880 5242880 0.025 -1 0 0 1.025
+524288 0 0 0 0 524288 5242880 5242880 0.025 -0.9 0 0 1.025
+524288 0 0 0 0 1048576 5242880 5242880 0.025 -0.8 0 0 1.025
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+524288 0 0 0 0 2097152 5242880 5242880 0.025 -0.6 0 0 1.025
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+524288 0 0 0 0 4194304 5242880 5242880 0.025 -0.2 0 0 1.02499999999832
+524288 0 0 0 0 4718592 5242880 5242880 0.025 -0.1 0 0 1.02500000004247
+524288 0 0 0 0 5242880 5242880 5242880 0.025 0 0 0 1.02500000000002
+524288 0 0 0 0 5767168 5242880 5242880 0.025 0.1 0 0 1.02500000004247
+524288 0 0 0 0 6291456 5242880 5242880 0.025 0.2 0 0 1.02499999999832
+524288 0 0 0 0 6815744 5242880 5242880 0.025 0.3 0 0 1.025
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+524288 0 0 0 0 10485760 5242880 5242880 0.025 1 0 0 1.025
+
+
+# iteration 524288
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 1 0 0 2621440 5242880 5242880 0.025 -0.5 0 0 1.025
+524288 0 1 0 0 2883584 5242880 5242880 0.025 -0.45 0 0 1.025
+524288 0 1 0 0 3145728 5242880 5242880 0.025 -0.4 0 0 1.025
+524288 0 1 0 0 3407872 5242880 5242880 0.025 -0.35 0 0 1.02500000000011
+524288 0 1 0 0 3670016 5242880 5242880 0.025 -0.3 0 0 1.025
+524288 0 1 0 0 3932160 5242880 5242880 0.025 -0.25 0 0 1.0249999999964
+524288 0 1 0 0 4194304 5242880 5242880 0.025 -0.2 0 0 1.02499999999832
+524288 0 1 0 0 4456448 5242880 5242880 0.025 -0.15 0 0 1.02500000000003
+524288 0 1 0 0 4718592 5242880 5242880 0.025 -0.1 0 0 1.02500000004247
+524288 0 1 0 0 4980736 5242880 5242880 0.025 -0.05 0 0 1.02500000000073
+524288 0 1 0 0 5242880 5242880 5242880 0.025 0 0 0 1.02500000000002
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+524288 0 1 0 0 6029312 5242880 5242880 0.025 0.15 0 0 1.02500000000003
+524288 0 1 0 0 6291456 5242880 5242880 0.025 0.2 0 0 1.02499999999832
+524288 0 1 0 0 6553600 5242880 5242880 0.025 0.25 0 0 1.0249999999964
+524288 0 1 0 0 6815744 5242880 5242880 0.025 0.3 0 0 1.025
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+524288 0 1 0 0 7864320 5242880 5242880 0.025 0.5 0 0 1.025
+
+
+# iteration 524288
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 2 0 0 3932160 5242880 5242880 0.025 -0.25 0 0 1.0249999999964
+524288 0 2 0 0 4063232 5242880 5242880 0.025 -0.225 0 0 1.02499999999703
+524288 0 2 0 0 4194304 5242880 5242880 0.025 -0.2 0 0 1.02499999999832
+524288 0 2 0 0 4325376 5242880 5242880 0.025 -0.175 0 0 1.02499999999664
+524288 0 2 0 0 4456448 5242880 5242880 0.025 -0.15 0 0 1.02500000000003
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+524288 0 2 0 0 4849664 5242880 5242880 0.025 -0.075 0 0 1.02500000000014
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+524288 0 2 0 0 5636096 5242880 5242880 0.025 0.075 0 0 1.02500000000014
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+524288 0 2 0 0 5898240 5242880 5242880 0.025 0.125 0 0 1.02500000002396
+524288 0 2 0 0 6029312 5242880 5242880 0.025 0.15 0 0 1.02500000000003
+524288 0 2 0 0 6160384 5242880 5242880 0.025 0.175 0 0 1.02499999999664
+524288 0 2 0 0 6291456 5242880 5242880 0.025 0.2 0 0 1.02499999999832
+524288 0 2 0 0 6422528 5242880 5242880 0.025 0.225 0 0 1.02499999999703
+524288 0 2 0 0 6553600 5242880 5242880 0.025 0.25 0 0 1.0249999999964
+
+
+# iteration 655360
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 2 0 0 3932160 5242880 5242880 0.03125 -0.25 0 0 1.0312499999947
+655360 0 2 0 0 4063232 5242880 5242880 0.03125 -0.225 0 0 1.03124999999534
+655360 0 2 0 0 4194304 5242880 5242880 0.03125 -0.2 0 0 1.03124999999702
+655360 0 2 0 0 4325376 5242880 5242880 0.03125 -0.175 0 0 1.03124999999494
+655360 0 2 0 0 4456448 5242880 5242880 0.03125 -0.15 0 0 1.03124999999993
+655360 0 2 0 0 4587520 5242880 5242880 0.03125 -0.125 0 0 1.03125000003312
+655360 0 2 0 0 4718592 5242880 5242880 0.03125 -0.1 0 0 1.03125000005828
+655360 0 2 0 0 4849664 5242880 5242880 0.03125 -0.075 0 0 1.03125000000063
+655360 0 2 0 0 4980736 5242880 5242880 0.03125 -0.05 0 0 1.03125000000198
+655360 0 2 0 0 5111808 5242880 5242880 0.03125 -0.025 0 0 1.03125000000007
+655360 0 2 0 0 5242880 5242880 5242880 0.03125 0 0 0 1.0312500000001
+655360 0 2 0 0 5373952 5242880 5242880 0.03125 0.025 0 0 1.03125000000007
+655360 0 2 0 0 5505024 5242880 5242880 0.03125 0.05 0 0 1.03125000000198
+655360 0 2 0 0 5636096 5242880 5242880 0.03125 0.075 0 0 1.03125000000063
+655360 0 2 0 0 5767168 5242880 5242880 0.03125 0.1 0 0 1.03125000005828
+655360 0 2 0 0 5898240 5242880 5242880 0.03125 0.125 0 0 1.03125000003312
+655360 0 2 0 0 6029312 5242880 5242880 0.03125 0.15 0 0 1.03124999999993
+655360 0 2 0 0 6160384 5242880 5242880 0.03125 0.175 0 0 1.03124999999494
+655360 0 2 0 0 6291456 5242880 5242880 0.03125 0.2 0 0 1.03124999999702
+655360 0 2 0 0 6422528 5242880 5242880 0.03125 0.225 0 0 1.03124999999534
+655360 0 2 0 0 6553600 5242880 5242880 0.03125 0.25 0 0 1.0312499999947
+
+
+# iteration 786432
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 1 0 0 2621440 5242880 5242880 0.0375 -0.5 0 0 1.0375
+786432 0 1 0 0 2883584 5242880 5242880 0.0375 -0.45 0 0 1.03749999999999
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+786432 0 1 0 0 3407872 5242880 5242880 0.0375 -0.35 0 0 1.03750000000033
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+786432 0 1 0 0 7864320 5242880 5242880 0.0375 0.5 0 0 1.0375
+
+
+# iteration 786432
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 2 0 0 3932160 5242880 5242880 0.0375 -0.25 0 0 1.03749999999307
+786432 0 2 0 0 4063232 5242880 5242880 0.0375 -0.225 0 0 1.03749999999353
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+786432 0 2 0 0 6029312 5242880 5242880 0.0375 0.15 0 0 1.03749999999975
+786432 0 2 0 0 6160384 5242880 5242880 0.0375 0.175 0 0 1.03749999999314
+786432 0 2 0 0 6291456 5242880 5242880 0.0375 0.2 0 0 1.03749999999542
+786432 0 2 0 0 6422528 5242880 5242880 0.0375 0.225 0 0 1.03749999999353
+786432 0 2 0 0 6553600 5242880 5242880 0.0375 0.25 0 0 1.03749999999307
+
+
+# iteration 917504
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 2 0 0 3932160 5242880 5242880 0.04375 -0.25 0 0 1.04374999999102
+917504 0 2 0 0 4063232 5242880 5242880 0.04375 -0.225 0 0 1.04374999999181
+917504 0 2 0 0 4194304 5242880 5242880 0.04375 -0.2 0 0 1.04374999999437
+917504 0 2 0 0 4325376 5242880 5242880 0.04375 -0.175 0 0 1.04374999999151
+917504 0 2 0 0 4456448 5242880 5242880 0.04375 -0.15 0 0 1.04374999999929
+917504 0 2 0 0 4587520 5242880 5242880 0.04375 -0.125 0 0 1.04375000004884
+917504 0 2 0 0 4718592 5242880 5242880 0.04375 -0.1 0 0 1.04375000008715
+917504 0 2 0 0 4849664 5242880 5242880 0.04375 -0.075 0 0 1.04375000000356
+917504 0 2 0 0 4980736 5242880 5242880 0.04375 -0.05 0 0 1.04375000000769
+917504 0 2 0 0 5111808 5242880 5242880 0.04375 -0.025 0 0 1.04375000000072
+917504 0 2 0 0 5242880 5242880 5242880 0.04375 0 0 0 1.043750000001
+917504 0 2 0 0 5373952 5242880 5242880 0.04375 0.025 0 0 1.04375000000072
+917504 0 2 0 0 5505024 5242880 5242880 0.04375 0.05 0 0 1.04375000000769
+917504 0 2 0 0 5636096 5242880 5242880 0.04375 0.075 0 0 1.04375000000356
+917504 0 2 0 0 5767168 5242880 5242880 0.04375 0.1 0 0 1.04375000008715
+917504 0 2 0 0 5898240 5242880 5242880 0.04375 0.125 0 0 1.04375000004884
+917504 0 2 0 0 6029312 5242880 5242880 0.04375 0.15 0 0 1.04374999999929
+917504 0 2 0 0 6160384 5242880 5242880 0.04375 0.175 0 0 1.04374999999151
+917504 0 2 0 0 6291456 5242880 5242880 0.04375 0.2 0 0 1.04374999999437
+917504 0 2 0 0 6422528 5242880 5242880 0.04375 0.225 0 0 1.04374999999181
+917504 0 2 0 0 6553600 5242880 5242880 0.04375 0.25 0 0 1.04374999999102
+
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 0 5242880 5242880 0.05 -1 0 0 1.05
+1048576 0 0 0 0 524288 5242880 5242880 0.05 -0.9 0 0 1.05
+1048576 0 0 0 0 1048576 5242880 5242880 0.05 -0.8 0 0 1.05
+1048576 0 0 0 0 1572864 5242880 5242880 0.05 -0.7 0 0 1.05
+1048576 0 0 0 0 2097152 5242880 5242880 0.05 -0.6 0 0 1.05
+1048576 0 0 0 0 2621440 5242880 5242880 0.05 -0.5 0 0 1.05
+1048576 0 0 0 0 3145728 5242880 5242880 0.05 -0.4 0 0 1.04999999999998
+1048576 0 0 0 0 3670016 5242880 5242880 0.05 -0.3 0 0 1.05000000000024
+1048576 0 0 0 0 4194304 5242880 5242880 0.05 -0.2 0 0 1.04999999999358
+1048576 0 0 0 0 4718592 5242880 5242880 0.05 -0.1 0 0 1.05000000010013
+1048576 0 0 0 0 5242880 5242880 5242880 0.05 0 0 0 1.05000000000227
+1048576 0 0 0 0 5767168 5242880 5242880 0.05 0.1 0 0 1.05000000010013
+1048576 0 0 0 0 6291456 5242880 5242880 0.05 0.2 0 0 1.04999999999358
+1048576 0 0 0 0 6815744 5242880 5242880 0.05 0.3 0 0 1.05000000000024
+1048576 0 0 0 0 7340032 5242880 5242880 0.05 0.4 0 0 1.04999999999998
+1048576 0 0 0 0 7864320 5242880 5242880 0.05 0.5 0 0 1.05
+1048576 0 0 0 0 8388608 5242880 5242880 0.05 0.6 0 0 1.05
+1048576 0 0 0 0 8912896 5242880 5242880 0.05 0.7 0 0 1.05
+1048576 0 0 0 0 9437184 5242880 5242880 0.05 0.8 0 0 1.05
+1048576 0 0 0 0 9961472 5242880 5242880 0.05 0.9 0 0 1.05
+1048576 0 0 0 0 10485760 5242880 5242880 0.05 1 0 0 1.05
+
+
+# iteration 1048576
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 1 0 0 2621440 5242880 5242880 0.05 -0.5 0 0 1.05
+1048576 0 1 0 0 2883584 5242880 5242880 0.05 -0.45 0 0 1.04999999999998
+1048576 0 1 0 0 3145728 5242880 5242880 0.05 -0.4 0 0 1.04999999999998
+1048576 0 1 0 0 3407872 5242880 5242880 0.05 -0.35 0 0 1.05000000000053
+1048576 0 1 0 0 3670016 5242880 5242880 0.05 -0.3 0 0 1.05000000000024
+1048576 0 1 0 0 3932160 5242880 5242880 0.05 -0.25 0 0 1.04999999999027
+1048576 0 1 0 0 4194304 5242880 5242880 0.05 -0.2 0 0 1.04999999999358
+1048576 0 1 0 0 4456448 5242880 5242880 0.05 -0.15 0 0 1.04999999999861
+1048576 0 1 0 0 4718592 5242880 5242880 0.05 -0.1 0 0 1.05000000010013
+1048576 0 1 0 0 4980736 5242880 5242880 0.05 -0.05 0 0 1.05000000001273
+1048576 0 1 0 0 5242880 5242880 5242880 0.05 0 0 0 1.05000000000227
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+1048576 0 1 0 0 5767168 5242880 5242880 0.05 0.1 0 0 1.05000000010013
+1048576 0 1 0 0 6029312 5242880 5242880 0.05 0.15 0 0 1.04999999999861
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+1048576 0 1 0 0 6553600 5242880 5242880 0.05 0.25 0 0 1.04999999999027
+1048576 0 1 0 0 6815744 5242880 5242880 0.05 0.3 0 0 1.05000000000024
+1048576 0 1 0 0 7077888 5242880 5242880 0.05 0.35 0 0 1.05000000000053
+1048576 0 1 0 0 7340032 5242880 5242880 0.05 0.4 0 0 1.04999999999998
+1048576 0 1 0 0 7602176 5242880 5242880 0.05 0.45 0 0 1.04999999999998
+1048576 0 1 0 0 7864320 5242880 5242880 0.05 0.5 0 0 1.05
+
+
+# iteration 1048576
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 2 0 0 3932160 5242880 5242880 0.05 -0.25 0 0 1.04999999999027
+1048576 0 2 0 0 4063232 5242880 5242880 0.05 -0.225 0 0 1.04999999999099
+1048576 0 2 0 0 4194304 5242880 5242880 0.05 -0.2 0 0 1.04999999999358
+1048576 0 2 0 0 4325376 5242880 5242880 0.05 -0.175 0 0 1.04999999998996
+1048576 0 2 0 0 4456448 5242880 5242880 0.05 -0.15 0 0 1.04999999999861
+1048576 0 2 0 0 4587520 5242880 5242880 0.05 -0.125 0 0 1.05000000005515
+1048576 0 2 0 0 4718592 5242880 5242880 0.05 -0.1 0 0 1.05000000010013
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+1048576 0 2 0 0 4980736 5242880 5242880 0.05 -0.05 0 0 1.05000000001273
+1048576 0 2 0 0 5111808 5242880 5242880 0.05 -0.025 0 0 1.05000000000165
+1048576 0 2 0 0 5242880 5242880 5242880 0.05 0 0 0 1.05000000000227
+1048576 0 2 0 0 5373952 5242880 5242880 0.05 0.025 0 0 1.05000000000165
+1048576 0 2 0 0 5505024 5242880 5242880 0.05 0.05 0 0 1.05000000001273
+1048576 0 2 0 0 5636096 5242880 5242880 0.05 0.075 0 0 1.0500000000065
+1048576 0 2 0 0 5767168 5242880 5242880 0.05 0.1 0 0 1.05000000010013
+1048576 0 2 0 0 5898240 5242880 5242880 0.05 0.125 0 0 1.05000000005515
+1048576 0 2 0 0 6029312 5242880 5242880 0.05 0.15 0 0 1.04999999999861
+1048576 0 2 0 0 6160384 5242880 5242880 0.05 0.175 0 0 1.04999999998996
+1048576 0 2 0 0 6291456 5242880 5242880 0.05 0.2 0 0 1.04999999999358
+1048576 0 2 0 0 6422528 5242880 5242880 0.05 0.225 0 0 1.04999999999099
+1048576 0 2 0 0 6553600 5242880 5242880 0.05 0.25 0 0 1.04999999999027
+
+
+# iteration 1179648
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 2 0 0 3932160 5242880 5242880 0.05625 -0.25 0 0 1.05624999998901
+1179648 0 2 0 0 4063232 5242880 5242880 0.05625 -0.225 0 0 1.05624999999015
+1179648 0 2 0 0 4194304 5242880 5242880 0.05625 -0.2 0 0 1.05624999999326
+1179648 0 2 0 0 4325376 5242880 5242880 0.05625 -0.175 0 0 1.05624999998853
+1179648 0 2 0 0 4456448 5242880 5242880 0.05625 -0.15 0 0 1.05624999999763
+1179648 0 2 0 0 4587520 5242880 5242880 0.05625 -0.125 0 0 1.05625000006123
+1179648 0 2 0 0 4718592 5242880 5242880 0.05625 -0.1 0 0 1.05625000011224
+1179648 0 2 0 0 4849664 5242880 5242880 0.05625 -0.075 0 0 1.05625000001079
+1179648 0 2 0 0 4980736 5242880 5242880 0.05625 -0.05 0 0 1.05625000001963
+1179648 0 2 0 0 5111808 5242880 5242880 0.05625 -0.025 0 0 1.05625000000332
+1179648 0 2 0 0 5242880 5242880 5242880 0.05625 0 0 0 1.05625000000452
+1179648 0 2 0 0 5373952 5242880 5242880 0.05625 0.025 0 0 1.05625000000332
+1179648 0 2 0 0 5505024 5242880 5242880 0.05625 0.05 0 0 1.05625000001963
+1179648 0 2 0 0 5636096 5242880 5242880 0.05625 0.075 0 0 1.05625000001079
+1179648 0 2 0 0 5767168 5242880 5242880 0.05625 0.1 0 0 1.05625000011224
+1179648 0 2 0 0 5898240 5242880 5242880 0.05625 0.125 0 0 1.05625000006123
+1179648 0 2 0 0 6029312 5242880 5242880 0.05625 0.15 0 0 1.05624999999763
+1179648 0 2 0 0 6160384 5242880 5242880 0.05625 0.175 0 0 1.05624999998853
+1179648 0 2 0 0 6291456 5242880 5242880 0.05625 0.2 0 0 1.05624999999326
+1179648 0 2 0 0 6422528 5242880 5242880 0.05625 0.225 0 0 1.05624999999015
+1179648 0 2 0 0 6553600 5242880 5242880 0.05625 0.25 0 0 1.05624999998901
+
+
+# iteration 1310720
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 1 0 0 2621440 5242880 5242880 0.0625 -0.5 0 0 1.0625
+1310720 0 1 0 0 2883584 5242880 5242880 0.0625 -0.45 0 0 1.06249999999993
+1310720 0 1 0 0 3145728 5242880 5242880 0.0625 -0.4 0 0 1.06249999999994
+1310720 0 1 0 0 3407872 5242880 5242880 0.0625 -0.35 0 0 1.06250000000083
+1310720 0 1 0 0 3670016 5242880 5242880 0.0625 -0.3 0 0 1.06250000000062
+1310720 0 1 0 0 3932160 5242880 5242880 0.0625 -0.25 0 0 1.06249999998785
+1310720 0 1 0 0 4194304 5242880 5242880 0.0625 -0.2 0 0 1.06249999999333
+1310720 0 1 0 0 4456448 5242880 5242880 0.0625 -0.15 0 0 1.06249999999637
+1310720 0 1 0 0 4718592 5242880 5242880 0.0625 -0.1 0 0 1.06250000012362
+1310720 0 1 0 0 4980736 5242880 5242880 0.0625 -0.05 0 0 1.06250000002869
+1310720 0 1 0 0 5242880 5242880 5242880 0.0625 0 0 0 1.0625000000082
+1310720 0 1 0 0 5505024 5242880 5242880 0.0625 0.05 0 0 1.06250000002869
+1310720 0 1 0 0 5767168 5242880 5242880 0.0625 0.1 0 0 1.06250000012362
+1310720 0 1 0 0 6029312 5242880 5242880 0.0625 0.15 0 0 1.06249999999637
+1310720 0 1 0 0 6291456 5242880 5242880 0.0625 0.2 0 0 1.06249999999333
+1310720 0 1 0 0 6553600 5242880 5242880 0.0625 0.25 0 0 1.06249999998785
+1310720 0 1 0 0 6815744 5242880 5242880 0.0625 0.3 0 0 1.06250000000062
+1310720 0 1 0 0 7077888 5242880 5242880 0.0625 0.35 0 0 1.06250000000083
+1310720 0 1 0 0 7340032 5242880 5242880 0.0625 0.4 0 0 1.06249999999994
+1310720 0 1 0 0 7602176 5242880 5242880 0.0625 0.45 0 0 1.06249999999993
+1310720 0 1 0 0 7864320 5242880 5242880 0.0625 0.5 0 0 1.0625
+
+
+# iteration 1310720
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 2 0 0 3932160 5242880 5242880 0.0625 -0.25 0 0 1.06249999998785
+1310720 0 2 0 0 4063232 5242880 5242880 0.0625 -0.225 0 0 1.0624999999896
+1310720 0 2 0 0 4194304 5242880 5242880 0.0625 -0.2 0 0 1.06249999999333
+1310720 0 2 0 0 4325376 5242880 5242880 0.0625 -0.175 0 0 1.06249999998724
+1310720 0 2 0 0 4456448 5242880 5242880 0.0625 -0.15 0 0 1.06249999999637
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+1310720 0 2 0 0 4718592 5242880 5242880 0.0625 -0.1 0 0 1.06250000012362
+1310720 0 2 0 0 4849664 5242880 5242880 0.0625 -0.075 0 0 1.06250000001668
+1310720 0 2 0 0 4980736 5242880 5242880 0.0625 -0.05 0 0 1.06250000002869
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+1310720 0 2 0 0 5373952 5242880 5242880 0.0625 0.025 0 0 1.06250000000608
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+1310720 0 2 0 0 5636096 5242880 5242880 0.0625 0.075 0 0 1.06250000001668
+1310720 0 2 0 0 5767168 5242880 5242880 0.0625 0.1 0 0 1.06250000012362
+1310720 0 2 0 0 5898240 5242880 5242880 0.0625 0.125 0 0 1.06250000006612
+1310720 0 2 0 0 6029312 5242880 5242880 0.0625 0.15 0 0 1.06249999999637
+1310720 0 2 0 0 6160384 5242880 5242880 0.0625 0.175 0 0 1.06249999998724
+1310720 0 2 0 0 6291456 5242880 5242880 0.0625 0.2 0 0 1.06249999999333
+1310720 0 2 0 0 6422528 5242880 5242880 0.0625 0.225 0 0 1.0624999999896
+1310720 0 2 0 0 6553600 5242880 5242880 0.0625 0.25 0 0 1.06249999998785
+
+
+# iteration 1441792
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 2 0 0 3932160 5242880 5242880 0.06875 -0.25 0 0 1.06874999998681
+1441792 0 2 0 0 4063232 5242880 5242880 0.06875 -0.225 0 0 1.06874999998947
+1441792 0 2 0 0 4194304 5242880 5242880 0.06875 -0.2 0 0 1.068749999994
+1441792 0 2 0 0 4325376 5242880 5242880 0.06875 -0.175 0 0 1.06874999998618
+1441792 0 2 0 0 4456448 5242880 5242880 0.06875 -0.15 0 0 1.06874999999489
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+1441792 0 2 0 0 4718592 5242880 5242880 0.06875 -0.1 0 0 1.06875000013445
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+1441792 0 2 0 0 5111808 5242880 5242880 0.06875 -0.025 0 0 1.0687500000103
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+1441792 0 2 0 0 5373952 5242880 5242880 0.06875 0.025 0 0 1.0687500000103
+1441792 0 2 0 0 5505024 5242880 5242880 0.06875 0.05 0 0 1.06875000004019
+1441792 0 2 0 0 5636096 5242880 5242880 0.06875 0.075 0 0 1.06875000002444
+1441792 0 2 0 0 5767168 5242880 5242880 0.06875 0.1 0 0 1.06875000013445
+1441792 0 2 0 0 5898240 5242880 5242880 0.06875 0.125 0 0 1.06875000007061
+1441792 0 2 0 0 6029312 5242880 5242880 0.06875 0.15 0 0 1.06874999999489
+1441792 0 2 0 0 6160384 5242880 5242880 0.06875 0.175 0 0 1.06874999998618
+1441792 0 2 0 0 6291456 5242880 5242880 0.06875 0.2 0 0 1.068749999994
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+1441792 0 2 0 0 6553600 5242880 5242880 0.06875 0.25 0 0 1.06874999998681
+
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 0 5242880 5242880 0.075 -1 0 0 1.075
+1572864 0 0 0 0 524288 5242880 5242880 0.075 -0.9 0 0 1.075
+1572864 0 0 0 0 1048576 5242880 5242880 0.075 -0.8 0 0 1.075
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+1572864 0 0 0 0 3145728 5242880 5242880 0.075 -0.4 0 0 1.07499999999987
+1572864 0 0 0 0 3670016 5242880 5242880 0.075 -0.3 0 0 1.07500000000118
+1572864 0 0 0 0 4194304 5242880 5242880 0.075 -0.2 0 0 1.07499999999519
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+1572864 0 0 0 0 5242880 5242880 5242880 0.075 0 0 0 1.07500000002188
+1572864 0 0 0 0 5767168 5242880 5242880 0.075 0.1 0 0 1.07500000014499
+1572864 0 0 0 0 6291456 5242880 5242880 0.075 0.2 0 0 1.07499999999519
+1572864 0 0 0 0 6815744 5242880 5242880 0.075 0.3 0 0 1.07500000000118
+1572864 0 0 0 0 7340032 5242880 5242880 0.075 0.4 0 0 1.07499999999987
+1572864 0 0 0 0 7864320 5242880 5242880 0.075 0.5 0 0 1.075
+1572864 0 0 0 0 8388608 5242880 5242880 0.075 0.6 0 0 1.075
+1572864 0 0 0 0 8912896 5242880 5242880 0.075 0.7 0 0 1.075
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+1572864 0 0 0 0 9961472 5242880 5242880 0.075 0.9 0 0 1.075
+1572864 0 0 0 0 10485760 5242880 5242880 0.075 1 0 0 1.075
+
+
+# iteration 1572864
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 1 0 0 2621440 5242880 5242880 0.075 -0.5 0 0 1.075
+1572864 0 1 0 0 2883584 5242880 5242880 0.075 -0.45 0 0 1.07499999999986
+1572864 0 1 0 0 3145728 5242880 5242880 0.075 -0.4 0 0 1.07499999999987
+1572864 0 1 0 0 3407872 5242880 5242880 0.075 -0.35 0 0 1.07500000000089
+1572864 0 1 0 0 3670016 5242880 5242880 0.075 -0.3 0 0 1.07500000000118
+1572864 0 1 0 0 3932160 5242880 5242880 0.075 -0.25 0 0 1.0749999999889
+1572864 0 1 0 0 4194304 5242880 5242880 0.075 -0.2 0 0 1.07499999999519
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+1572864 0 1 0 0 6029312 5242880 5242880 0.075 0.15 0 0 1.07499999999316
+1572864 0 1 0 0 6291456 5242880 5242880 0.075 0.2 0 0 1.07499999999519
+1572864 0 1 0 0 6553600 5242880 5242880 0.075 0.25 0 0 1.0749999999889
+1572864 0 1 0 0 6815744 5242880 5242880 0.075 0.3 0 0 1.07500000000118
+1572864 0 1 0 0 7077888 5242880 5242880 0.075 0.35 0 0 1.07500000000089
+1572864 0 1 0 0 7340032 5242880 5242880 0.075 0.4 0 0 1.07499999999987
+1572864 0 1 0 0 7602176 5242880 5242880 0.075 0.45 0 0 1.07499999999986
+1572864 0 1 0 0 7864320 5242880 5242880 0.075 0.5 0 0 1.075
+
+
+# iteration 1572864
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 2 0 0 3932160 5242880 5242880 0.075 -0.25 0 0 1.0749999999889
+1572864 0 2 0 0 4063232 5242880 5242880 0.075 -0.225 0 0 1.07499999999141
+1572864 0 2 0 0 4194304 5242880 5242880 0.075 -0.2 0 0 1.07499999999519
+1572864 0 2 0 0 4325376 5242880 5242880 0.075 -0.175 0 0 1.07499999998508
+1572864 0 2 0 0 4456448 5242880 5242880 0.075 -0.15 0 0 1.07499999999316
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+1572864 0 2 0 0 4718592 5242880 5242880 0.075 -0.1 0 0 1.07500000014499
+1572864 0 2 0 0 4849664 5242880 5242880 0.075 -0.075 0 0 1.07500000003426
+1572864 0 2 0 0 4980736 5242880 5242880 0.075 -0.05 0 0 1.0750000000544
+1572864 0 2 0 0 5111808 5242880 5242880 0.075 -0.025 0 0 1.07500000001642
+1572864 0 2 0 0 5242880 5242880 5242880 0.075 0 0 0 1.07500000002188
+1572864 0 2 0 0 5373952 5242880 5242880 0.075 0.025 0 0 1.07500000001642
+1572864 0 2 0 0 5505024 5242880 5242880 0.075 0.05 0 0 1.0750000000544
+1572864 0 2 0 0 5636096 5242880 5242880 0.075 0.075 0 0 1.07500000003426
+1572864 0 2 0 0 5767168 5242880 5242880 0.075 0.1 0 0 1.07500000014499
+1572864 0 2 0 0 5898240 5242880 5242880 0.075 0.125 0 0 1.0750000000746
+1572864 0 2 0 0 6029312 5242880 5242880 0.075 0.15 0 0 1.07499999999316
+1572864 0 2 0 0 6160384 5242880 5242880 0.075 0.175 0 0 1.07499999998508
+1572864 0 2 0 0 6291456 5242880 5242880 0.075 0.2 0 0 1.07499999999519
+1572864 0 2 0 0 6422528 5242880 5242880 0.075 0.225 0 0 1.07499999999141
+1572864 0 2 0 0 6553600 5242880 5242880 0.075 0.25 0 0 1.0749999999889
+
+
+# iteration 1703936
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 2 0 0 3932160 5242880 5242880 0.08125 -0.25 0 0 1.08124999998915
+1703936 0 2 0 0 4063232 5242880 5242880 0.08125 -0.225 0 0 1.08124999999272
+1703936 0 2 0 0 4194304 5242880 5242880 0.08125 -0.2 0 0 1.08124999999712
+1703936 0 2 0 0 4325376 5242880 5242880 0.08125 -0.175 0 0 1.08124999998455
+1703936 0 2 0 0 4456448 5242880 5242880 0.08125 -0.15 0 0 1.08124999999139
+1703936 0 2 0 0 4587520 5242880 5242880 0.08125 -0.125 0 0 1.08125000007798
+1703936 0 2 0 0 4718592 5242880 5242880 0.08125 -0.1 0 0 1.08125000015544
+1703936 0 2 0 0 4849664 5242880 5242880 0.08125 -0.075 0 0 1.08125000004629
+1703936 0 2 0 0 4980736 5242880 5242880 0.08125 -0.05 0 0 1.08125000007153
+1703936 0 2 0 0 5111808 5242880 5242880 0.08125 -0.025 0 0 1.08125000002489
+1703936 0 2 0 0 5242880 5242880 5242880 0.08125 0 0 0 1.08125000003301
+1703936 0 2 0 0 5373952 5242880 5242880 0.08125 0.025 0 0 1.08125000002489
+1703936 0 2 0 0 5505024 5242880 5242880 0.08125 0.05 0 0 1.08125000007153
+1703936 0 2 0 0 5636096 5242880 5242880 0.08125 0.075 0 0 1.08125000004629
+1703936 0 2 0 0 5767168 5242880 5242880 0.08125 0.1 0 0 1.08125000015544
+1703936 0 2 0 0 5898240 5242880 5242880 0.08125 0.125 0 0 1.08125000007798
+1703936 0 2 0 0 6029312 5242880 5242880 0.08125 0.15 0 0 1.08124999999139
+1703936 0 2 0 0 6160384 5242880 5242880 0.08125 0.175 0 0 1.08124999998455
+1703936 0 2 0 0 6291456 5242880 5242880 0.08125 0.2 0 0 1.08124999999712
+1703936 0 2 0 0 6422528 5242880 5242880 0.08125 0.225 0 0 1.08124999999272
+1703936 0 2 0 0 6553600 5242880 5242880 0.08125 0.25 0 0 1.08124999998915
+
+
+# iteration 1835008
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 1 0 0 2621440 5242880 5242880 0.0875 -0.5 0 0 1.08750000000001
+1835008 0 1 0 0 2883584 5242880 5242880 0.0875 -0.45 0 0 1.08749999999976
+1835008 0 1 0 0 3145728 5242880 5242880 0.0875 -0.4 0 0 1.08749999999977
+1835008 0 1 0 0 3407872 5242880 5242880 0.0875 -0.35 0 0 1.08750000000108
+1835008 0 1 0 0 3670016 5242880 5242880 0.0875 -0.3 0 0 1.08750000000186
+1835008 0 1 0 0 3932160 5242880 5242880 0.0875 -0.25 0 0 1.0874999999892
+1835008 0 1 0 0 4194304 5242880 5242880 0.0875 -0.2 0 0 1.08749999999972
+1835008 0 1 0 0 4456448 5242880 5242880 0.0875 -0.15 0 0 1.08749999998951
+1835008 0 1 0 0 4718592 5242880 5242880 0.0875 -0.1 0 0 1.08750000016605
+1835008 0 1 0 0 4980736 5242880 5242880 0.0875 -0.05 0 0 1.08750000009175
+1835008 0 1 0 0 5242880 5242880 5242880 0.0875 0 0 0 1.08750000004775
+1835008 0 1 0 0 5505024 5242880 5242880 0.0875 0.05 0 0 1.08750000009175
+1835008 0 1 0 0 5767168 5242880 5242880 0.0875 0.1 0 0 1.08750000016605
+1835008 0 1 0 0 6029312 5242880 5242880 0.0875 0.15 0 0 1.08749999998951
+1835008 0 1 0 0 6291456 5242880 5242880 0.0875 0.2 0 0 1.08749999999972
+1835008 0 1 0 0 6553600 5242880 5242880 0.0875 0.25 0 0 1.0874999999892
+1835008 0 1 0 0 6815744 5242880 5242880 0.0875 0.3 0 0 1.08750000000186
+1835008 0 1 0 0 7077888 5242880 5242880 0.0875 0.35 0 0 1.08750000000108
+1835008 0 1 0 0 7340032 5242880 5242880 0.0875 0.4 0 0 1.08749999999977
+1835008 0 1 0 0 7602176 5242880 5242880 0.0875 0.45 0 0 1.08749999999976
+1835008 0 1 0 0 7864320 5242880 5242880 0.0875 0.5 0 0 1.08750000000001
+
+
+# iteration 1835008
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 2 0 0 3932160 5242880 5242880 0.0875 -0.25 0 0 1.0874999999892
+1835008 0 2 0 0 4063232 5242880 5242880 0.0875 -0.225 0 0 1.08749999999431
+1835008 0 2 0 0 4194304 5242880 5242880 0.0875 -0.2 0 0 1.08749999999972
+1835008 0 2 0 0 4325376 5242880 5242880 0.0875 -0.175 0 0 1.08749999998424
+1835008 0 2 0 0 4456448 5242880 5242880 0.0875 -0.15 0 0 1.08749999998951
+1835008 0 2 0 0 4587520 5242880 5242880 0.0875 -0.125 0 0 1.08750000008179
+1835008 0 2 0 0 4718592 5242880 5242880 0.0875 -0.1 0 0 1.08750000016605
+1835008 0 2 0 0 4849664 5242880 5242880 0.0875 -0.075 0 0 1.08750000006059
+1835008 0 2 0 0 4980736 5242880 5242880 0.0875 -0.05 0 0 1.08750000009175
+1835008 0 2 0 0 5111808 5242880 5242880 0.0875 -0.025 0 0 1.08750000003613
+1835008 0 2 0 0 5242880 5242880 5242880 0.0875 0 0 0 1.08750000004775
+1835008 0 2 0 0 5373952 5242880 5242880 0.0875 0.025 0 0 1.08750000003613
+1835008 0 2 0 0 5505024 5242880 5242880 0.0875 0.05 0 0 1.08750000009175
+1835008 0 2 0 0 5636096 5242880 5242880 0.0875 0.075 0 0 1.08750000006059
+1835008 0 2 0 0 5767168 5242880 5242880 0.0875 0.1 0 0 1.08750000016605
+1835008 0 2 0 0 5898240 5242880 5242880 0.0875 0.125 0 0 1.08750000008179
+1835008 0 2 0 0 6029312 5242880 5242880 0.0875 0.15 0 0 1.08749999998951
+1835008 0 2 0 0 6160384 5242880 5242880 0.0875 0.175 0 0 1.08749999998424
+1835008 0 2 0 0 6291456 5242880 5242880 0.0875 0.2 0 0 1.08749999999972
+1835008 0 2 0 0 6422528 5242880 5242880 0.0875 0.225 0 0 1.08749999999431
+1835008 0 2 0 0 6553600 5242880 5242880 0.0875 0.25 0 0 1.0874999999892
+
+
+# iteration 1966080
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 2 0 0 3932160 5242880 5242880 0.09375 -0.25 0 0 1.0937499999896
+1966080 0 2 0 0 4063232 5242880 5242880 0.09375 -0.225 0 0 1.09374999999655
+1966080 0 2 0 0 4194304 5242880 5242880 0.09375 -0.2 0 0 1.09375000000317
+1966080 0 2 0 0 4325376 5242880 5242880 0.09375 -0.175 0 0 1.09374999998465
+1966080 0 2 0 0 4456448 5242880 5242880 0.09375 -0.15 0 0 1.0937499999879
+1966080 0 2 0 0 4587520 5242880 5242880 0.09375 -0.125 0 0 1.09375000008476
+1966080 0 2 0 0 4718592 5242880 5242880 0.09375 -0.1 0 0 1.09375000017699
+1966080 0 2 0 0 4849664 5242880 5242880 0.09375 -0.075 0 0 1.09375000007712
+1966080 0 2 0 0 4980736 5242880 5242880 0.09375 -0.05 0 0 1.09375000011513
+1966080 0 2 0 0 5111808 5242880 5242880 0.09375 -0.025 0 0 1.09375000005053
+1966080 0 2 0 0 5242880 5242880 5242880 0.09375 0 0 0 1.09375000006661
+1966080 0 2 0 0 5373952 5242880 5242880 0.09375 0.025 0 0 1.09375000005053
+1966080 0 2 0 0 5505024 5242880 5242880 0.09375 0.05 0 0 1.09375000011513
+1966080 0 2 0 0 5636096 5242880 5242880 0.09375 0.075 0 0 1.09375000007712
+1966080 0 2 0 0 5767168 5242880 5242880 0.09375 0.1 0 0 1.09375000017699
+1966080 0 2 0 0 5898240 5242880 5242880 0.09375 0.125 0 0 1.09375000008476
+1966080 0 2 0 0 6029312 5242880 5242880 0.09375 0.15 0 0 1.0937499999879
+1966080 0 2 0 0 6160384 5242880 5242880 0.09375 0.175 0 0 1.09374999998465
+1966080 0 2 0 0 6291456 5242880 5242880 0.09375 0.2 0 0 1.09375000000317
+1966080 0 2 0 0 6422528 5242880 5242880 0.09375 0.225 0 0 1.09374999999655
+1966080 0 2 0 0 6553600 5242880 5242880 0.09375 0.25 0 0 1.0937499999896
+
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 0 5242880 5242880 0.1 -1 0 0 1.1
+2097152 0 0 0 0 524288 5242880 5242880 0.1 -0.9 0 0 1.1
+2097152 0 0 0 0 1048576 5242880 5242880 0.1 -0.8 0 0 1.1
+2097152 0 0 0 0 1572864 5242880 5242880 0.1 -0.7 0 0 1.1
+2097152 0 0 0 0 2097152 5242880 5242880 0.1 -0.6 0 0 1.1
+2097152 0 0 0 0 2621440 5242880 5242880 0.1 -0.5 0 0 1.10000000000003
+2097152 0 0 0 0 3145728 5242880 5242880 0.1 -0.4 0 0 1.09999999999964
+2097152 0 0 0 0 3670016 5242880 5242880 0.1 -0.3 0 0 1.10000000000268
+2097152 0 0 0 0 4194304 5242880 5242880 0.1 -0.2 0 0 1.10000000000743
+2097152 0 0 0 0 4718592 5242880 5242880 0.1 -0.1 0 0 1.10000000018839
+2097152 0 0 0 0 5242880 5242880 5242880 0.1 0 0 0 1.10000000009002
+2097152 0 0 0 0 5767168 5242880 5242880 0.1 0.1 0 0 1.10000000018839
+2097152 0 0 0 0 6291456 5242880 5242880 0.1 0.2 0 0 1.10000000000743
+2097152 0 0 0 0 6815744 5242880 5242880 0.1 0.3 0 0 1.10000000000268
+2097152 0 0 0 0 7340032 5242880 5242880 0.1 0.4 0 0 1.09999999999964
+2097152 0 0 0 0 7864320 5242880 5242880 0.1 0.5 0 0 1.10000000000003
+2097152 0 0 0 0 8388608 5242880 5242880 0.1 0.6 0 0 1.1
+2097152 0 0 0 0 8912896 5242880 5242880 0.1 0.7 0 0 1.1
+2097152 0 0 0 0 9437184 5242880 5242880 0.1 0.8 0 0 1.1
+2097152 0 0 0 0 9961472 5242880 5242880 0.1 0.9 0 0 1.1
+2097152 0 0 0 0 10485760 5242880 5242880 0.1 1 0 0 1.1
+
+
+# iteration 2097152
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 1 0 0 2621440 5242880 5242880 0.1 -0.5 0 0 1.10000000000003
+2097152 0 1 0 0 2883584 5242880 5242880 0.1 -0.45 0 0 1.09999999999964
+2097152 0 1 0 0 3145728 5242880 5242880 0.1 -0.4 0 0 1.09999999999964
+2097152 0 1 0 0 3407872 5242880 5242880 0.1 -0.35 0 0 1.10000000000084
+2097152 0 1 0 0 3670016 5242880 5242880 0.1 -0.3 0 0 1.10000000000268
+2097152 0 1 0 0 3932160 5242880 5242880 0.1 -0.25 0 0 1.09999999999394
+2097152 0 1 0 0 4194304 5242880 5242880 0.1 -0.2 0 0 1.10000000000743
+2097152 0 1 0 0 4456448 5242880 5242880 0.1 -0.15 0 0 1.09999999998642
+2097152 0 1 0 0 4718592 5242880 5242880 0.1 -0.1 0 0 1.10000000018839
+2097152 0 1 0 0 4980736 5242880 5242880 0.1 -0.05 0 0 1.10000000014165
+2097152 0 1 0 0 5242880 5242880 5242880 0.1 0 0 0 1.10000000009002
+2097152 0 1 0 0 5505024 5242880 5242880 0.1 0.05 0 0 1.10000000014165
+2097152 0 1 0 0 5767168 5242880 5242880 0.1 0.1 0 0 1.10000000018839
+2097152 0 1 0 0 6029312 5242880 5242880 0.1 0.15 0 0 1.09999999998642
+2097152 0 1 0 0 6291456 5242880 5242880 0.1 0.2 0 0 1.10000000000743
+2097152 0 1 0 0 6553600 5242880 5242880 0.1 0.25 0 0 1.09999999999394
+2097152 0 1 0 0 6815744 5242880 5242880 0.1 0.3 0 0 1.10000000000268
+2097152 0 1 0 0 7077888 5242880 5242880 0.1 0.35 0 0 1.10000000000084
+2097152 0 1 0 0 7340032 5242880 5242880 0.1 0.4 0 0 1.09999999999964
+2097152 0 1 0 0 7602176 5242880 5242880 0.1 0.45 0 0 1.09999999999964
+2097152 0 1 0 0 7864320 5242880 5242880 0.1 0.5 0 0 1.10000000000003
+
+
+# iteration 2097152
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 2 0 0 3932160 5242880 5242880 0.1 -0.25 0 0 1.09999999999394
+2097152 0 2 0 0 4063232 5242880 5242880 0.1 -0.225 0 0 1.10000000000145
+2097152 0 2 0 0 4194304 5242880 5242880 0.1 -0.2 0 0 1.10000000000743
+2097152 0 2 0 0 4325376 5242880 5242880 0.1 -0.175 0 0 1.09999999998514
+2097152 0 2 0 0 4456448 5242880 5242880 0.1 -0.15 0 0 1.09999999998642
+2097152 0 2 0 0 4587520 5242880 5242880 0.1 -0.125 0 0 1.10000000008901
+2097152 0 2 0 0 4718592 5242880 5242880 0.1 -0.1 0 0 1.10000000018839
+2097152 0 2 0 0 4849664 5242880 5242880 0.1 -0.075 0 0 1.10000000009574
+2097152 0 2 0 0 4980736 5242880 5242880 0.1 -0.05 0 0 1.10000000014165
+2097152 0 2 0 0 5111808 5242880 5242880 0.1 -0.025 0 0 1.1000000000684
+2097152 0 2 0 0 5242880 5242880 5242880 0.1 0 0 0 1.10000000009002
+2097152 0 2 0 0 5373952 5242880 5242880 0.1 0.025 0 0 1.1000000000684
+2097152 0 2 0 0 5505024 5242880 5242880 0.1 0.05 0 0 1.10000000014165
+2097152 0 2 0 0 5636096 5242880 5242880 0.1 0.075 0 0 1.10000000009574
+2097152 0 2 0 0 5767168 5242880 5242880 0.1 0.1 0 0 1.10000000018839
+2097152 0 2 0 0 5898240 5242880 5242880 0.1 0.125 0 0 1.10000000008901
+2097152 0 2 0 0 6029312 5242880 5242880 0.1 0.15 0 0 1.09999999998642
+2097152 0 2 0 0 6160384 5242880 5242880 0.1 0.175 0 0 1.09999999998514
+2097152 0 2 0 0 6291456 5242880 5242880 0.1 0.2 0 0 1.10000000000743
+2097152 0 2 0 0 6422528 5242880 5242880 0.1 0.225 0 0 1.10000000000145
+2097152 0 2 0 0 6553600 5242880 5242880 0.1 0.25 0 0 1.09999999999394
+
+
diff --git a/Carpet/CarpetInterp/test/waveinterp/phi.y.asc b/Carpet/CarpetInterp/test/waveinterp/phi.y.asc
new file mode 100644
index 000000000..32ed70f3b
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phi.y.asc
@@ -0,0 +1,808 @@
+# WAVEMOL::phi y (phi)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 5242880 0 5242880 0 0 -1 0 1
+0 0 0 0 0 5242880 524288 5242880 0 0 -0.9 0 1
+0 0 0 0 0 5242880 1048576 5242880 0 0 -0.8 0 1
+0 0 0 0 0 5242880 1572864 5242880 0 0 -0.7 0 1
+0 0 0 0 0 5242880 2097152 5242880 0 0 -0.6 0 1
+0 0 0 0 0 5242880 2621440 5242880 0 0 -0.5 0 1
+0 0 0 0 0 5242880 3145728 5242880 0 0 -0.4 0 1
+0 0 0 0 0 5242880 3670016 5242880 0 0 -0.3 0 1
+0 0 0 0 0 5242880 4194304 5242880 0 0 -0.2 0 1
+0 0 0 0 0 5242880 4718592 5242880 0 0 -0.1 0 1
+0 0 0 0 0 5242880 5242880 5242880 0 0 0 0 1
+0 0 0 0 0 5242880 5767168 5242880 0 0 0.1 0 1
+0 0 0 0 0 5242880 6291456 5242880 0 0 0.2 0 1
+0 0 0 0 0 5242880 6815744 5242880 0 0 0.3 0 1
+0 0 0 0 0 5242880 7340032 5242880 0 0 0.4 0 1
+0 0 0 0 0 5242880 7864320 5242880 0 0 0.5 0 1
+0 0 0 0 0 5242880 8388608 5242880 0 0 0.6 0 1
+0 0 0 0 0 5242880 8912896 5242880 0 0 0.7 0 1
+0 0 0 0 0 5242880 9437184 5242880 0 0 0.8 0 1
+0 0 0 0 0 5242880 9961472 5242880 0 0 0.9 0 1
+0 0 0 0 0 5242880 10485760 5242880 0 0 1 0 1
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 5242880 2621440 5242880 0 0 -0.5 0 1
+0 0 1 0 0 5242880 2883584 5242880 0 0 -0.45 0 1
+0 0 1 0 0 5242880 3145728 5242880 0 0 -0.4 0 1
+0 0 1 0 0 5242880 3407872 5242880 0 0 -0.35 0 1
+0 0 1 0 0 5242880 3670016 5242880 0 0 -0.3 0 1
+0 0 1 0 0 5242880 3932160 5242880 0 0 -0.25 0 1
+0 0 1 0 0 5242880 4194304 5242880 0 0 -0.2 0 1
+0 0 1 0 0 5242880 4456448 5242880 0 0 -0.15 0 1
+0 0 1 0 0 5242880 4718592 5242880 0 0 -0.1 0 1
+0 0 1 0 0 5242880 4980736 5242880 0 0 -0.05 0 1
+0 0 1 0 0 5242880 5242880 5242880 0 0 0 0 1
+0 0 1 0 0 5242880 5505024 5242880 0 0 0.05 0 1
+0 0 1 0 0 5242880 5767168 5242880 0 0 0.1 0 1
+0 0 1 0 0 5242880 6029312 5242880 0 0 0.15 0 1
+0 0 1 0 0 5242880 6291456 5242880 0 0 0.2 0 1
+0 0 1 0 0 5242880 6553600 5242880 0 0 0.25 0 1
+0 0 1 0 0 5242880 6815744 5242880 0 0 0.3 0 1
+0 0 1 0 0 5242880 7077888 5242880 0 0 0.35 0 1
+0 0 1 0 0 5242880 7340032 5242880 0 0 0.4 0 1
+0 0 1 0 0 5242880 7602176 5242880 0 0 0.45 0 1
+0 0 1 0 0 5242880 7864320 5242880 0 0 0.5 0 1
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 5242880 3932160 5242880 0 0 -0.25 0 1
+0 0 2 0 0 5242880 4063232 5242880 0 0 -0.225 0 1
+0 0 2 0 0 5242880 4194304 5242880 0 0 -0.2 0 1
+0 0 2 0 0 5242880 4325376 5242880 0 0 -0.175 0 1
+0 0 2 0 0 5242880 4456448 5242880 0 0 -0.15 0 1
+0 0 2 0 0 5242880 4587520 5242880 0 0 -0.125 0 1
+0 0 2 0 0 5242880 4718592 5242880 0 0 -0.1 0 1
+0 0 2 0 0 5242880 4849664 5242880 0 0 -0.075 0 1
+0 0 2 0 0 5242880 4980736 5242880 0 0 -0.05 0 1
+0 0 2 0 0 5242880 5111808 5242880 0 0 -0.025 0 1
+0 0 2 0 0 5242880 5242880 5242880 0 0 0 0 1
+0 0 2 0 0 5242880 5373952 5242880 0 0 0.025 0 1
+0 0 2 0 0 5242880 5505024 5242880 0 0 0.05 0 1
+0 0 2 0 0 5242880 5636096 5242880 0 0 0.075 0 1
+0 0 2 0 0 5242880 5767168 5242880 0 0 0.1 0 1
+0 0 2 0 0 5242880 5898240 5242880 0 0 0.125 0 1
+0 0 2 0 0 5242880 6029312 5242880 0 0 0.15 0 1
+0 0 2 0 0 5242880 6160384 5242880 0 0 0.175 0 1
+0 0 2 0 0 5242880 6291456 5242880 0 0 0.2 0 1
+0 0 2 0 0 5242880 6422528 5242880 0 0 0.225 0 1
+0 0 2 0 0 5242880 6553600 5242880 0 0 0.25 0 1
+
+
+# iteration 131072
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 2 0 0 5242880 3932160 5242880 0.00625 0 -0.25 0 1.00625
+131072 0 2 0 0 5242880 4063232 5242880 0.00625 0 -0.225 0 1.00625
+131072 0 2 0 0 5242880 4194304 5242880 0.00625 0 -0.2 0 1.00625
+131072 0 2 0 0 5242880 4325376 5242880 0.00625 0 -0.175 0 1.00625
+131072 0 2 0 0 5242880 4456448 5242880 0.00625 0 -0.15 0 1.00625
+131072 0 2 0 0 5242880 4587520 5242880 0.00625 0 -0.125 0 1.00625
+131072 0 2 0 0 5242880 4718592 5242880 0.00625 0 -0.1 0 1.00625
+131072 0 2 0 0 5242880 4849664 5242880 0.00625 0 -0.075 0 1.00625
+131072 0 2 0 0 5242880 4980736 5242880 0.00625 0 -0.05 0 1.00625
+131072 0 2 0 0 5242880 5111808 5242880 0.00625 0 -0.025 0 1.00625
+131072 0 2 0 0 5242880 5242880 5242880 0.00625 0 0 0 1.00625
+131072 0 2 0 0 5242880 5373952 5242880 0.00625 0 0.025 0 1.00625
+131072 0 2 0 0 5242880 5505024 5242880 0.00625 0 0.05 0 1.00625
+131072 0 2 0 0 5242880 5636096 5242880 0.00625 0 0.075 0 1.00625
+131072 0 2 0 0 5242880 5767168 5242880 0.00625 0 0.1 0 1.00625
+131072 0 2 0 0 5242880 5898240 5242880 0.00625 0 0.125 0 1.00625
+131072 0 2 0 0 5242880 6029312 5242880 0.00625 0 0.15 0 1.00625
+131072 0 2 0 0 5242880 6160384 5242880 0.00625 0 0.175 0 1.00625
+131072 0 2 0 0 5242880 6291456 5242880 0.00625 0 0.2 0 1.00625
+131072 0 2 0 0 5242880 6422528 5242880 0.00625 0 0.225 0 1.00625
+131072 0 2 0 0 5242880 6553600 5242880 0.00625 0 0.25 0 1.00625
+
+
+# iteration 262144
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 1 0 0 5242880 2621440 5242880 0.0125 0 -0.5 0 1.0125
+262144 0 1 0 0 5242880 2883584 5242880 0.0125 0 -0.45 0 1.0125
+262144 0 1 0 0 5242880 3145728 5242880 0.0125 0 -0.4 0 1.0125
+262144 0 1 0 0 5242880 3407872 5242880 0.0125 0 -0.35 0 1.0125
+262144 0 1 0 0 5242880 3670016 5242880 0.0125 0 -0.3 0 1.0125
+262144 0 1 0 0 5242880 3932160 5242880 0.0125 0 -0.25 0 1.0125
+262144 0 1 0 0 5242880 4194304 5242880 0.0125 0 -0.2 0 1.0125
+262144 0 1 0 0 5242880 4456448 5242880 0.0125 0 -0.15 0 1.0125
+262144 0 1 0 0 5242880 4718592 5242880 0.0125 0 -0.1 0 1.01250000000873
+262144 0 1 0 0 5242880 4980736 5242880 0.0125 0 -0.05 0 1.0125
+262144 0 1 0 0 5242880 5242880 5242880 0.0125 0 0 0 1.0125
+262144 0 1 0 0 5242880 5505024 5242880 0.0125 0 0.05 0 1.0125
+262144 0 1 0 0 5242880 5767168 5242880 0.0125 0 0.1 0 1.01250000000873
+262144 0 1 0 0 5242880 6029312 5242880 0.0125 0 0.15 0 1.0125
+262144 0 1 0 0 5242880 6291456 5242880 0.0125 0 0.2 0 1.0125
+262144 0 1 0 0 5242880 6553600 5242880 0.0125 0 0.25 0 1.0125
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+262144 0 1 0 0 5242880 7602176 5242880 0.0125 0 0.45 0 1.0125
+262144 0 1 0 0 5242880 7864320 5242880 0.0125 0 0.5 0 1.0125
+
+
+# iteration 262144
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 2 0 0 5242880 3932160 5242880 0.0125 0 -0.25 0 1.0125
+262144 0 2 0 0 5242880 4063232 5242880 0.0125 0 -0.225 0 1.0125
+262144 0 2 0 0 5242880 4194304 5242880 0.0125 0 -0.2 0 1.0125
+262144 0 2 0 0 5242880 4325376 5242880 0.0125 0 -0.175 0 1.01249999999945
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+262144 0 2 0 0 5242880 4587520 5242880 0.0125 0 -0.125 0 1.01250000000491
+262144 0 2 0 0 5242880 4718592 5242880 0.0125 0 -0.1 0 1.01250000000873
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+262144 0 2 0 0 5242880 4980736 5242880 0.0125 0 -0.05 0 1.0125
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+262144 0 2 0 0 5242880 5767168 5242880 0.0125 0 0.1 0 1.01250000000873
+262144 0 2 0 0 5242880 5898240 5242880 0.0125 0 0.125 0 1.01250000000491
+262144 0 2 0 0 5242880 6029312 5242880 0.0125 0 0.15 0 1.0125
+262144 0 2 0 0 5242880 6160384 5242880 0.0125 0 0.175 0 1.01249999999945
+262144 0 2 0 0 5242880 6291456 5242880 0.0125 0 0.2 0 1.0125
+262144 0 2 0 0 5242880 6422528 5242880 0.0125 0 0.225 0 1.0125
+262144 0 2 0 0 5242880 6553600 5242880 0.0125 0 0.25 0 1.0125
+
+
+# iteration 393216
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 2 0 0 5242880 3932160 5242880 0.01875 0 -0.25 0 1.01875
+393216 0 2 0 0 5242880 4063232 5242880 0.01875 0 -0.225 0 1.01874999999964
+393216 0 2 0 0 5242880 4194304 5242880 0.01875 0 -0.2 0 1.01874999999937
+393216 0 2 0 0 5242880 4325376 5242880 0.01875 0 -0.175 0 1.01874999999822
+393216 0 2 0 0 5242880 4456448 5242880 0.01875 0 -0.15 0 1.01875000000001
+393216 0 2 0 0 5242880 4587520 5242880 0.01875 0 -0.125 0 1.01875000001291
+393216 0 2 0 0 5242880 4718592 5242880 0.01875 0 -0.1 0 1.01875000002589
+393216 0 2 0 0 5242880 4849664 5242880 0.01875 0 -0.075 0 1.01875
+393216 0 2 0 0 5242880 4980736 5242880 0.01875 0 -0.05 0 1.01875000000016
+393216 0 2 0 0 5242880 5111808 5242880 0.01875 0 -0.025 0 1.01875
+393216 0 2 0 0 5242880 5242880 5242880 0.01875 0 0 0 1.01875
+393216 0 2 0 0 5242880 5373952 5242880 0.01875 0 0.025 0 1.01875
+393216 0 2 0 0 5242880 5505024 5242880 0.01875 0 0.05 0 1.01875000000016
+393216 0 2 0 0 5242880 5636096 5242880 0.01875 0 0.075 0 1.01875
+393216 0 2 0 0 5242880 5767168 5242880 0.01875 0 0.1 0 1.01875000002589
+393216 0 2 0 0 5242880 5898240 5242880 0.01875 0 0.125 0 1.01875000001291
+393216 0 2 0 0 5242880 6029312 5242880 0.01875 0 0.15 0 1.01875000000001
+393216 0 2 0 0 5242880 6160384 5242880 0.01875 0 0.175 0 1.01874999999822
+393216 0 2 0 0 5242880 6291456 5242880 0.01875 0 0.2 0 1.01874999999937
+393216 0 2 0 0 5242880 6422528 5242880 0.01875 0 0.225 0 1.01874999999964
+393216 0 2 0 0 5242880 6553600 5242880 0.01875 0 0.25 0 1.01875
+
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 5242880 0 5242880 0.025 0 -1 0 1.025
+524288 0 0 0 0 5242880 524288 5242880 0.025 0 -0.9 0 1.025
+524288 0 0 0 0 5242880 1048576 5242880 0.025 0 -0.8 0 1.025
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+524288 0 0 0 0 5242880 3670016 5242880 0.025 0 -0.3 0 1.025
+524288 0 0 0 0 5242880 4194304 5242880 0.025 0 -0.2 0 1.02499999999832
+524288 0 0 0 0 5242880 4718592 5242880 0.025 0 -0.1 0 1.02500000004247
+524288 0 0 0 0 5242880 5242880 5242880 0.025 0 0 0 1.02500000000002
+524288 0 0 0 0 5242880 5767168 5242880 0.025 0 0.1 0 1.02500000004247
+524288 0 0 0 0 5242880 6291456 5242880 0.025 0 0.2 0 1.02499999999832
+524288 0 0 0 0 5242880 6815744 5242880 0.025 0 0.3 0 1.025
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+524288 0 0 0 0 5242880 7864320 5242880 0.025 0 0.5 0 1.025
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+524288 0 0 0 0 5242880 10485760 5242880 0.025 0 1 0 1.025
+
+
+# iteration 524288
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 1 0 0 5242880 2621440 5242880 0.025 0 -0.5 0 1.025
+524288 0 1 0 0 5242880 2883584 5242880 0.025 0 -0.45 0 1.025
+524288 0 1 0 0 5242880 3145728 5242880 0.025 0 -0.4 0 1.025
+524288 0 1 0 0 5242880 3407872 5242880 0.025 0 -0.35 0 1.02500000000011
+524288 0 1 0 0 5242880 3670016 5242880 0.025 0 -0.3 0 1.025
+524288 0 1 0 0 5242880 3932160 5242880 0.025 0 -0.25 0 1.0249999999964
+524288 0 1 0 0 5242880 4194304 5242880 0.025 0 -0.2 0 1.02499999999832
+524288 0 1 0 0 5242880 4456448 5242880 0.025 0 -0.15 0 1.02500000000003
+524288 0 1 0 0 5242880 4718592 5242880 0.025 0 -0.1 0 1.02500000004247
+524288 0 1 0 0 5242880 4980736 5242880 0.025 0 -0.05 0 1.02500000000073
+524288 0 1 0 0 5242880 5242880 5242880 0.025 0 0 0 1.02500000000002
+524288 0 1 0 0 5242880 5505024 5242880 0.025 0 0.05 0 1.02500000000073
+524288 0 1 0 0 5242880 5767168 5242880 0.025 0 0.1 0 1.02500000004247
+524288 0 1 0 0 5242880 6029312 5242880 0.025 0 0.15 0 1.02500000000003
+524288 0 1 0 0 5242880 6291456 5242880 0.025 0 0.2 0 1.02499999999832
+524288 0 1 0 0 5242880 6553600 5242880 0.025 0 0.25 0 1.0249999999964
+524288 0 1 0 0 5242880 6815744 5242880 0.025 0 0.3 0 1.025
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+524288 0 1 0 0 5242880 7864320 5242880 0.025 0 0.5 0 1.025
+
+
+# iteration 524288
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 2 0 0 5242880 3932160 5242880 0.025 0 -0.25 0 1.0249999999964
+524288 0 2 0 0 5242880 4063232 5242880 0.025 0 -0.225 0 1.02499999999703
+524288 0 2 0 0 5242880 4194304 5242880 0.025 0 -0.2 0 1.02499999999832
+524288 0 2 0 0 5242880 4325376 5242880 0.025 0 -0.175 0 1.02499999999664
+524288 0 2 0 0 5242880 4456448 5242880 0.025 0 -0.15 0 1.02500000000003
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+524288 0 2 0 0 5242880 4849664 5242880 0.025 0 -0.075 0 1.02500000000014
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+524288 0 2 0 0 5242880 5898240 5242880 0.025 0 0.125 0 1.02500000002396
+524288 0 2 0 0 5242880 6029312 5242880 0.025 0 0.15 0 1.02500000000003
+524288 0 2 0 0 5242880 6160384 5242880 0.025 0 0.175 0 1.02499999999664
+524288 0 2 0 0 5242880 6291456 5242880 0.025 0 0.2 0 1.02499999999832
+524288 0 2 0 0 5242880 6422528 5242880 0.025 0 0.225 0 1.02499999999703
+524288 0 2 0 0 5242880 6553600 5242880 0.025 0 0.25 0 1.0249999999964
+
+
+# iteration 655360
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 2 0 0 5242880 3932160 5242880 0.03125 0 -0.25 0 1.0312499999947
+655360 0 2 0 0 5242880 4063232 5242880 0.03125 0 -0.225 0 1.03124999999534
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+655360 0 2 0 0 5242880 4456448 5242880 0.03125 0 -0.15 0 1.03124999999993
+655360 0 2 0 0 5242880 4587520 5242880 0.03125 0 -0.125 0 1.03125000003312
+655360 0 2 0 0 5242880 4718592 5242880 0.03125 0 -0.1 0 1.03125000005828
+655360 0 2 0 0 5242880 4849664 5242880 0.03125 0 -0.075 0 1.03125000000063
+655360 0 2 0 0 5242880 4980736 5242880 0.03125 0 -0.05 0 1.03125000000198
+655360 0 2 0 0 5242880 5111808 5242880 0.03125 0 -0.025 0 1.03125000000007
+655360 0 2 0 0 5242880 5242880 5242880 0.03125 0 0 0 1.0312500000001
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+655360 0 2 0 0 5242880 5505024 5242880 0.03125 0 0.05 0 1.03125000000198
+655360 0 2 0 0 5242880 5636096 5242880 0.03125 0 0.075 0 1.03125000000063
+655360 0 2 0 0 5242880 5767168 5242880 0.03125 0 0.1 0 1.03125000005828
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+655360 0 2 0 0 5242880 6029312 5242880 0.03125 0 0.15 0 1.03124999999993
+655360 0 2 0 0 5242880 6160384 5242880 0.03125 0 0.175 0 1.03124999999494
+655360 0 2 0 0 5242880 6291456 5242880 0.03125 0 0.2 0 1.03124999999702
+655360 0 2 0 0 5242880 6422528 5242880 0.03125 0 0.225 0 1.03124999999534
+655360 0 2 0 0 5242880 6553600 5242880 0.03125 0 0.25 0 1.0312499999947
+
+
+# iteration 786432
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 1 0 0 5242880 2621440 5242880 0.0375 0 -0.5 0 1.0375
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+786432 0 1 0 0 5242880 6815744 5242880 0.0375 0 0.3 0 1.03750000000009
+786432 0 1 0 0 5242880 7077888 5242880 0.0375 0 0.35 0 1.03750000000033
+786432 0 1 0 0 5242880 7340032 5242880 0.0375 0 0.4 0 1.03749999999999
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+786432 0 1 0 0 5242880 7864320 5242880 0.0375 0 0.5 0 1.0375
+
+
+# iteration 786432
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 2 0 0 5242880 3932160 5242880 0.0375 0 -0.25 0 1.03749999999307
+786432 0 2 0 0 5242880 4063232 5242880 0.0375 0 -0.225 0 1.03749999999353
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+786432 0 2 0 0 5242880 4325376 5242880 0.0375 0 -0.175 0 1.03749999999314
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+786432 0 2 0 0 5242880 6029312 5242880 0.0375 0 0.15 0 1.03749999999975
+786432 0 2 0 0 5242880 6160384 5242880 0.0375 0 0.175 0 1.03749999999314
+786432 0 2 0 0 5242880 6291456 5242880 0.0375 0 0.2 0 1.03749999999542
+786432 0 2 0 0 5242880 6422528 5242880 0.0375 0 0.225 0 1.03749999999353
+786432 0 2 0 0 5242880 6553600 5242880 0.0375 0 0.25 0 1.03749999999307
+
+
+# iteration 917504
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 2 0 0 5242880 3932160 5242880 0.04375 0 -0.25 0 1.04374999999102
+917504 0 2 0 0 5242880 4063232 5242880 0.04375 0 -0.225 0 1.04374999999181
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+917504 0 2 0 0 5242880 5767168 5242880 0.04375 0 0.1 0 1.04375000008715
+917504 0 2 0 0 5242880 5898240 5242880 0.04375 0 0.125 0 1.04375000004884
+917504 0 2 0 0 5242880 6029312 5242880 0.04375 0 0.15 0 1.04374999999929
+917504 0 2 0 0 5242880 6160384 5242880 0.04375 0 0.175 0 1.04374999999151
+917504 0 2 0 0 5242880 6291456 5242880 0.04375 0 0.2 0 1.04374999999437
+917504 0 2 0 0 5242880 6422528 5242880 0.04375 0 0.225 0 1.04374999999181
+917504 0 2 0 0 5242880 6553600 5242880 0.04375 0 0.25 0 1.04374999999102
+
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 5242880 0 5242880 0.05 0 -1 0 1.05
+1048576 0 0 0 0 5242880 524288 5242880 0.05 0 -0.9 0 1.05
+1048576 0 0 0 0 5242880 1048576 5242880 0.05 0 -0.8 0 1.05
+1048576 0 0 0 0 5242880 1572864 5242880 0.05 0 -0.7 0 1.05
+1048576 0 0 0 0 5242880 2097152 5242880 0.05 0 -0.6 0 1.05
+1048576 0 0 0 0 5242880 2621440 5242880 0.05 0 -0.5 0 1.05
+1048576 0 0 0 0 5242880 3145728 5242880 0.05 0 -0.4 0 1.04999999999998
+1048576 0 0 0 0 5242880 3670016 5242880 0.05 0 -0.3 0 1.05000000000024
+1048576 0 0 0 0 5242880 4194304 5242880 0.05 0 -0.2 0 1.04999999999358
+1048576 0 0 0 0 5242880 4718592 5242880 0.05 0 -0.1 0 1.05000000010013
+1048576 0 0 0 0 5242880 5242880 5242880 0.05 0 0 0 1.05000000000227
+1048576 0 0 0 0 5242880 5767168 5242880 0.05 0 0.1 0 1.05000000010013
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+1048576 0 0 0 0 5242880 6815744 5242880 0.05 0 0.3 0 1.05000000000024
+1048576 0 0 0 0 5242880 7340032 5242880 0.05 0 0.4 0 1.04999999999998
+1048576 0 0 0 0 5242880 7864320 5242880 0.05 0 0.5 0 1.05
+1048576 0 0 0 0 5242880 8388608 5242880 0.05 0 0.6 0 1.05
+1048576 0 0 0 0 5242880 8912896 5242880 0.05 0 0.7 0 1.05
+1048576 0 0 0 0 5242880 9437184 5242880 0.05 0 0.8 0 1.05
+1048576 0 0 0 0 5242880 9961472 5242880 0.05 0 0.9 0 1.05
+1048576 0 0 0 0 5242880 10485760 5242880 0.05 0 1 0 1.05
+
+
+# iteration 1048576
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 1 0 0 5242880 2621440 5242880 0.05 0 -0.5 0 1.05
+1048576 0 1 0 0 5242880 2883584 5242880 0.05 0 -0.45 0 1.04999999999998
+1048576 0 1 0 0 5242880 3145728 5242880 0.05 0 -0.4 0 1.04999999999998
+1048576 0 1 0 0 5242880 3407872 5242880 0.05 0 -0.35 0 1.05000000000053
+1048576 0 1 0 0 5242880 3670016 5242880 0.05 0 -0.3 0 1.05000000000024
+1048576 0 1 0 0 5242880 3932160 5242880 0.05 0 -0.25 0 1.04999999999027
+1048576 0 1 0 0 5242880 4194304 5242880 0.05 0 -0.2 0 1.04999999999358
+1048576 0 1 0 0 5242880 4456448 5242880 0.05 0 -0.15 0 1.04999999999861
+1048576 0 1 0 0 5242880 4718592 5242880 0.05 0 -0.1 0 1.05000000010013
+1048576 0 1 0 0 5242880 4980736 5242880 0.05 0 -0.05 0 1.05000000001273
+1048576 0 1 0 0 5242880 5242880 5242880 0.05 0 0 0 1.05000000000227
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+1048576 0 1 0 0 5242880 5767168 5242880 0.05 0 0.1 0 1.05000000010013
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+1048576 0 1 0 0 5242880 6553600 5242880 0.05 0 0.25 0 1.04999999999027
+1048576 0 1 0 0 5242880 6815744 5242880 0.05 0 0.3 0 1.05000000000024
+1048576 0 1 0 0 5242880 7077888 5242880 0.05 0 0.35 0 1.05000000000053
+1048576 0 1 0 0 5242880 7340032 5242880 0.05 0 0.4 0 1.04999999999998
+1048576 0 1 0 0 5242880 7602176 5242880 0.05 0 0.45 0 1.04999999999998
+1048576 0 1 0 0 5242880 7864320 5242880 0.05 0 0.5 0 1.05
+
+
+# iteration 1048576
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 2 0 0 5242880 3932160 5242880 0.05 0 -0.25 0 1.04999999999027
+1048576 0 2 0 0 5242880 4063232 5242880 0.05 0 -0.225 0 1.04999999999099
+1048576 0 2 0 0 5242880 4194304 5242880 0.05 0 -0.2 0 1.04999999999358
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+1048576 0 2 0 0 5242880 4456448 5242880 0.05 0 -0.15 0 1.04999999999861
+1048576 0 2 0 0 5242880 4587520 5242880 0.05 0 -0.125 0 1.05000000005515
+1048576 0 2 0 0 5242880 4718592 5242880 0.05 0 -0.1 0 1.05000000010013
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+1048576 0 2 0 0 5242880 4980736 5242880 0.05 0 -0.05 0 1.05000000001273
+1048576 0 2 0 0 5242880 5111808 5242880 0.05 0 -0.025 0 1.05000000000165
+1048576 0 2 0 0 5242880 5242880 5242880 0.05 0 0 0 1.05000000000227
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+1048576 0 2 0 0 5242880 6029312 5242880 0.05 0 0.15 0 1.04999999999861
+1048576 0 2 0 0 5242880 6160384 5242880 0.05 0 0.175 0 1.04999999998996
+1048576 0 2 0 0 5242880 6291456 5242880 0.05 0 0.2 0 1.04999999999358
+1048576 0 2 0 0 5242880 6422528 5242880 0.05 0 0.225 0 1.04999999999099
+1048576 0 2 0 0 5242880 6553600 5242880 0.05 0 0.25 0 1.04999999999027
+
+
+# iteration 1179648
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 2 0 0 5242880 3932160 5242880 0.05625 0 -0.25 0 1.05624999998901
+1179648 0 2 0 0 5242880 4063232 5242880 0.05625 0 -0.225 0 1.05624999999015
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+1179648 0 2 0 0 5242880 4456448 5242880 0.05625 0 -0.15 0 1.05624999999763
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+1179648 0 2 0 0 5242880 4718592 5242880 0.05625 0 -0.1 0 1.05625000011224
+1179648 0 2 0 0 5242880 4849664 5242880 0.05625 0 -0.075 0 1.05625000001079
+1179648 0 2 0 0 5242880 4980736 5242880 0.05625 0 -0.05 0 1.05625000001963
+1179648 0 2 0 0 5242880 5111808 5242880 0.05625 0 -0.025 0 1.05625000000332
+1179648 0 2 0 0 5242880 5242880 5242880 0.05625 0 0 0 1.05625000000452
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+1179648 0 2 0 0 5242880 5505024 5242880 0.05625 0 0.05 0 1.05625000001963
+1179648 0 2 0 0 5242880 5636096 5242880 0.05625 0 0.075 0 1.05625000001079
+1179648 0 2 0 0 5242880 5767168 5242880 0.05625 0 0.1 0 1.05625000011224
+1179648 0 2 0 0 5242880 5898240 5242880 0.05625 0 0.125 0 1.05625000006123
+1179648 0 2 0 0 5242880 6029312 5242880 0.05625 0 0.15 0 1.05624999999763
+1179648 0 2 0 0 5242880 6160384 5242880 0.05625 0 0.175 0 1.05624999998853
+1179648 0 2 0 0 5242880 6291456 5242880 0.05625 0 0.2 0 1.05624999999326
+1179648 0 2 0 0 5242880 6422528 5242880 0.05625 0 0.225 0 1.05624999999015
+1179648 0 2 0 0 5242880 6553600 5242880 0.05625 0 0.25 0 1.05624999998901
+
+
+# iteration 1310720
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 1 0 0 5242880 2621440 5242880 0.0625 0 -0.5 0 1.0625
+1310720 0 1 0 0 5242880 2883584 5242880 0.0625 0 -0.45 0 1.06249999999993
+1310720 0 1 0 0 5242880 3145728 5242880 0.0625 0 -0.4 0 1.06249999999994
+1310720 0 1 0 0 5242880 3407872 5242880 0.0625 0 -0.35 0 1.06250000000083
+1310720 0 1 0 0 5242880 3670016 5242880 0.0625 0 -0.3 0 1.06250000000062
+1310720 0 1 0 0 5242880 3932160 5242880 0.0625 0 -0.25 0 1.06249999998785
+1310720 0 1 0 0 5242880 4194304 5242880 0.0625 0 -0.2 0 1.06249999999333
+1310720 0 1 0 0 5242880 4456448 5242880 0.0625 0 -0.15 0 1.06249999999637
+1310720 0 1 0 0 5242880 4718592 5242880 0.0625 0 -0.1 0 1.06250000012362
+1310720 0 1 0 0 5242880 4980736 5242880 0.0625 0 -0.05 0 1.06250000002869
+1310720 0 1 0 0 5242880 5242880 5242880 0.0625 0 0 0 1.0625000000082
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+1310720 0 1 0 0 5242880 5767168 5242880 0.0625 0 0.1 0 1.06250000012362
+1310720 0 1 0 0 5242880 6029312 5242880 0.0625 0 0.15 0 1.06249999999637
+1310720 0 1 0 0 5242880 6291456 5242880 0.0625 0 0.2 0 1.06249999999333
+1310720 0 1 0 0 5242880 6553600 5242880 0.0625 0 0.25 0 1.06249999998785
+1310720 0 1 0 0 5242880 6815744 5242880 0.0625 0 0.3 0 1.06250000000062
+1310720 0 1 0 0 5242880 7077888 5242880 0.0625 0 0.35 0 1.06250000000083
+1310720 0 1 0 0 5242880 7340032 5242880 0.0625 0 0.4 0 1.06249999999994
+1310720 0 1 0 0 5242880 7602176 5242880 0.0625 0 0.45 0 1.06249999999993
+1310720 0 1 0 0 5242880 7864320 5242880 0.0625 0 0.5 0 1.0625
+
+
+# iteration 1310720
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 2 0 0 5242880 3932160 5242880 0.0625 0 -0.25 0 1.06249999998785
+1310720 0 2 0 0 5242880 4063232 5242880 0.0625 0 -0.225 0 1.0624999999896
+1310720 0 2 0 0 5242880 4194304 5242880 0.0625 0 -0.2 0 1.06249999999333
+1310720 0 2 0 0 5242880 4325376 5242880 0.0625 0 -0.175 0 1.06249999998724
+1310720 0 2 0 0 5242880 4456448 5242880 0.0625 0 -0.15 0 1.06249999999637
+1310720 0 2 0 0 5242880 4587520 5242880 0.0625 0 -0.125 0 1.06250000006612
+1310720 0 2 0 0 5242880 4718592 5242880 0.0625 0 -0.1 0 1.06250000012362
+1310720 0 2 0 0 5242880 4849664 5242880 0.0625 0 -0.075 0 1.06250000001668
+1310720 0 2 0 0 5242880 4980736 5242880 0.0625 0 -0.05 0 1.06250000002869
+1310720 0 2 0 0 5242880 5111808 5242880 0.0625 0 -0.025 0 1.06250000000608
+1310720 0 2 0 0 5242880 5242880 5242880 0.0625 0 0 0 1.0625000000082
+1310720 0 2 0 0 5242880 5373952 5242880 0.0625 0 0.025 0 1.06250000000608
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+1310720 0 2 0 0 5242880 5636096 5242880 0.0625 0 0.075 0 1.06250000001668
+1310720 0 2 0 0 5242880 5767168 5242880 0.0625 0 0.1 0 1.06250000012362
+1310720 0 2 0 0 5242880 5898240 5242880 0.0625 0 0.125 0 1.06250000006612
+1310720 0 2 0 0 5242880 6029312 5242880 0.0625 0 0.15 0 1.06249999999637
+1310720 0 2 0 0 5242880 6160384 5242880 0.0625 0 0.175 0 1.06249999998724
+1310720 0 2 0 0 5242880 6291456 5242880 0.0625 0 0.2 0 1.06249999999333
+1310720 0 2 0 0 5242880 6422528 5242880 0.0625 0 0.225 0 1.0624999999896
+1310720 0 2 0 0 5242880 6553600 5242880 0.0625 0 0.25 0 1.06249999998785
+
+
+# iteration 1441792
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 2 0 0 5242880 3932160 5242880 0.06875 0 -0.25 0 1.06874999998681
+1441792 0 2 0 0 5242880 4063232 5242880 0.06875 0 -0.225 0 1.06874999998947
+1441792 0 2 0 0 5242880 4194304 5242880 0.06875 0 -0.2 0 1.068749999994
+1441792 0 2 0 0 5242880 4325376 5242880 0.06875 0 -0.175 0 1.06874999998618
+1441792 0 2 0 0 5242880 4456448 5242880 0.06875 0 -0.15 0 1.06874999999489
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+1441792 0 2 0 0 5242880 4718592 5242880 0.06875 0 -0.1 0 1.06875000013445
+1441792 0 2 0 0 5242880 4849664 5242880 0.06875 0 -0.075 0 1.06875000002444
+1441792 0 2 0 0 5242880 4980736 5242880 0.06875 0 -0.05 0 1.06875000004019
+1441792 0 2 0 0 5242880 5111808 5242880 0.06875 0 -0.025 0 1.0687500000103
+1441792 0 2 0 0 5242880 5242880 5242880 0.06875 0 0 0 1.0687500000138
+1441792 0 2 0 0 5242880 5373952 5242880 0.06875 0 0.025 0 1.0687500000103
+1441792 0 2 0 0 5242880 5505024 5242880 0.06875 0 0.05 0 1.06875000004019
+1441792 0 2 0 0 5242880 5636096 5242880 0.06875 0 0.075 0 1.06875000002444
+1441792 0 2 0 0 5242880 5767168 5242880 0.06875 0 0.1 0 1.06875000013445
+1441792 0 2 0 0 5242880 5898240 5242880 0.06875 0 0.125 0 1.06875000007061
+1441792 0 2 0 0 5242880 6029312 5242880 0.06875 0 0.15 0 1.06874999999489
+1441792 0 2 0 0 5242880 6160384 5242880 0.06875 0 0.175 0 1.06874999998618
+1441792 0 2 0 0 5242880 6291456 5242880 0.06875 0 0.2 0 1.068749999994
+1441792 0 2 0 0 5242880 6422528 5242880 0.06875 0 0.225 0 1.06874999998947
+1441792 0 2 0 0 5242880 6553600 5242880 0.06875 0 0.25 0 1.06874999998681
+
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 5242880 0 5242880 0.075 0 -1 0 1.075
+1572864 0 0 0 0 5242880 524288 5242880 0.075 0 -0.9 0 1.075
+1572864 0 0 0 0 5242880 1048576 5242880 0.075 0 -0.8 0 1.075
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+1572864 0 0 0 0 5242880 3145728 5242880 0.075 0 -0.4 0 1.07499999999987
+1572864 0 0 0 0 5242880 3670016 5242880 0.075 0 -0.3 0 1.07500000000118
+1572864 0 0 0 0 5242880 4194304 5242880 0.075 0 -0.2 0 1.07499999999519
+1572864 0 0 0 0 5242880 4718592 5242880 0.075 0 -0.1 0 1.07500000014499
+1572864 0 0 0 0 5242880 5242880 5242880 0.075 0 0 0 1.07500000002188
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+1572864 0 0 0 0 5242880 6291456 5242880 0.075 0 0.2 0 1.07499999999519
+1572864 0 0 0 0 5242880 6815744 5242880 0.075 0 0.3 0 1.07500000000118
+1572864 0 0 0 0 5242880 7340032 5242880 0.075 0 0.4 0 1.07499999999987
+1572864 0 0 0 0 5242880 7864320 5242880 0.075 0 0.5 0 1.075
+1572864 0 0 0 0 5242880 8388608 5242880 0.075 0 0.6 0 1.075
+1572864 0 0 0 0 5242880 8912896 5242880 0.075 0 0.7 0 1.075
+1572864 0 0 0 0 5242880 9437184 5242880 0.075 0 0.8 0 1.075
+1572864 0 0 0 0 5242880 9961472 5242880 0.075 0 0.9 0 1.075
+1572864 0 0 0 0 5242880 10485760 5242880 0.075 0 1 0 1.075
+
+
+# iteration 1572864
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 1 0 0 5242880 2621440 5242880 0.075 0 -0.5 0 1.075
+1572864 0 1 0 0 5242880 2883584 5242880 0.075 0 -0.45 0 1.07499999999986
+1572864 0 1 0 0 5242880 3145728 5242880 0.075 0 -0.4 0 1.07499999999987
+1572864 0 1 0 0 5242880 3407872 5242880 0.075 0 -0.35 0 1.07500000000089
+1572864 0 1 0 0 5242880 3670016 5242880 0.075 0 -0.3 0 1.07500000000118
+1572864 0 1 0 0 5242880 3932160 5242880 0.075 0 -0.25 0 1.0749999999889
+1572864 0 1 0 0 5242880 4194304 5242880 0.075 0 -0.2 0 1.07499999999519
+1572864 0 1 0 0 5242880 4456448 5242880 0.075 0 -0.15 0 1.07499999999316
+1572864 0 1 0 0 5242880 4718592 5242880 0.075 0 -0.1 0 1.07500000014499
+1572864 0 1 0 0 5242880 4980736 5242880 0.075 0 -0.05 0 1.0750000000544
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+1572864 0 1 0 0 5242880 6029312 5242880 0.075 0 0.15 0 1.07499999999316
+1572864 0 1 0 0 5242880 6291456 5242880 0.075 0 0.2 0 1.07499999999519
+1572864 0 1 0 0 5242880 6553600 5242880 0.075 0 0.25 0 1.0749999999889
+1572864 0 1 0 0 5242880 6815744 5242880 0.075 0 0.3 0 1.07500000000118
+1572864 0 1 0 0 5242880 7077888 5242880 0.075 0 0.35 0 1.07500000000089
+1572864 0 1 0 0 5242880 7340032 5242880 0.075 0 0.4 0 1.07499999999987
+1572864 0 1 0 0 5242880 7602176 5242880 0.075 0 0.45 0 1.07499999999986
+1572864 0 1 0 0 5242880 7864320 5242880 0.075 0 0.5 0 1.075
+
+
+# iteration 1572864
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 2 0 0 5242880 3932160 5242880 0.075 0 -0.25 0 1.0749999999889
+1572864 0 2 0 0 5242880 4063232 5242880 0.075 0 -0.225 0 1.07499999999141
+1572864 0 2 0 0 5242880 4194304 5242880 0.075 0 -0.2 0 1.07499999999519
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+1572864 0 2 0 0 5242880 4456448 5242880 0.075 0 -0.15 0 1.07499999999316
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+1572864 0 2 0 0 5242880 4718592 5242880 0.075 0 -0.1 0 1.07500000014499
+1572864 0 2 0 0 5242880 4849664 5242880 0.075 0 -0.075 0 1.07500000003426
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+1572864 0 2 0 0 5242880 5111808 5242880 0.075 0 -0.025 0 1.07500000001642
+1572864 0 2 0 0 5242880 5242880 5242880 0.075 0 0 0 1.07500000002188
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+1572864 0 2 0 0 5242880 5767168 5242880 0.075 0 0.1 0 1.07500000014499
+1572864 0 2 0 0 5242880 5898240 5242880 0.075 0 0.125 0 1.0750000000746
+1572864 0 2 0 0 5242880 6029312 5242880 0.075 0 0.15 0 1.07499999999316
+1572864 0 2 0 0 5242880 6160384 5242880 0.075 0 0.175 0 1.07499999998508
+1572864 0 2 0 0 5242880 6291456 5242880 0.075 0 0.2 0 1.07499999999519
+1572864 0 2 0 0 5242880 6422528 5242880 0.075 0 0.225 0 1.07499999999141
+1572864 0 2 0 0 5242880 6553600 5242880 0.075 0 0.25 0 1.0749999999889
+
+
+# iteration 1703936
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 2 0 0 5242880 3932160 5242880 0.08125 0 -0.25 0 1.08124999998915
+1703936 0 2 0 0 5242880 4063232 5242880 0.08125 0 -0.225 0 1.08124999999272
+1703936 0 2 0 0 5242880 4194304 5242880 0.08125 0 -0.2 0 1.08124999999712
+1703936 0 2 0 0 5242880 4325376 5242880 0.08125 0 -0.175 0 1.08124999998455
+1703936 0 2 0 0 5242880 4456448 5242880 0.08125 0 -0.15 0 1.08124999999139
+1703936 0 2 0 0 5242880 4587520 5242880 0.08125 0 -0.125 0 1.08125000007798
+1703936 0 2 0 0 5242880 4718592 5242880 0.08125 0 -0.1 0 1.08125000015544
+1703936 0 2 0 0 5242880 4849664 5242880 0.08125 0 -0.075 0 1.08125000004629
+1703936 0 2 0 0 5242880 4980736 5242880 0.08125 0 -0.05 0 1.08125000007153
+1703936 0 2 0 0 5242880 5111808 5242880 0.08125 0 -0.025 0 1.08125000002489
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+1703936 0 2 0 0 5242880 5767168 5242880 0.08125 0 0.1 0 1.08125000015544
+1703936 0 2 0 0 5242880 5898240 5242880 0.08125 0 0.125 0 1.08125000007798
+1703936 0 2 0 0 5242880 6029312 5242880 0.08125 0 0.15 0 1.08124999999139
+1703936 0 2 0 0 5242880 6160384 5242880 0.08125 0 0.175 0 1.08124999998455
+1703936 0 2 0 0 5242880 6291456 5242880 0.08125 0 0.2 0 1.08124999999712
+1703936 0 2 0 0 5242880 6422528 5242880 0.08125 0 0.225 0 1.08124999999272
+1703936 0 2 0 0 5242880 6553600 5242880 0.08125 0 0.25 0 1.08124999998915
+
+
+# iteration 1835008
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 1 0 0 5242880 2621440 5242880 0.0875 0 -0.5 0 1.08750000000001
+1835008 0 1 0 0 5242880 2883584 5242880 0.0875 0 -0.45 0 1.08749999999976
+1835008 0 1 0 0 5242880 3145728 5242880 0.0875 0 -0.4 0 1.08749999999977
+1835008 0 1 0 0 5242880 3407872 5242880 0.0875 0 -0.35 0 1.08750000000108
+1835008 0 1 0 0 5242880 3670016 5242880 0.0875 0 -0.3 0 1.08750000000186
+1835008 0 1 0 0 5242880 3932160 5242880 0.0875 0 -0.25 0 1.0874999999892
+1835008 0 1 0 0 5242880 4194304 5242880 0.0875 0 -0.2 0 1.08749999999972
+1835008 0 1 0 0 5242880 4456448 5242880 0.0875 0 -0.15 0 1.08749999998951
+1835008 0 1 0 0 5242880 4718592 5242880 0.0875 0 -0.1 0 1.08750000016605
+1835008 0 1 0 0 5242880 4980736 5242880 0.0875 0 -0.05 0 1.08750000009175
+1835008 0 1 0 0 5242880 5242880 5242880 0.0875 0 0 0 1.08750000004775
+1835008 0 1 0 0 5242880 5505024 5242880 0.0875 0 0.05 0 1.08750000009175
+1835008 0 1 0 0 5242880 5767168 5242880 0.0875 0 0.1 0 1.08750000016605
+1835008 0 1 0 0 5242880 6029312 5242880 0.0875 0 0.15 0 1.08749999998951
+1835008 0 1 0 0 5242880 6291456 5242880 0.0875 0 0.2 0 1.08749999999972
+1835008 0 1 0 0 5242880 6553600 5242880 0.0875 0 0.25 0 1.0874999999892
+1835008 0 1 0 0 5242880 6815744 5242880 0.0875 0 0.3 0 1.08750000000186
+1835008 0 1 0 0 5242880 7077888 5242880 0.0875 0 0.35 0 1.08750000000108
+1835008 0 1 0 0 5242880 7340032 5242880 0.0875 0 0.4 0 1.08749999999977
+1835008 0 1 0 0 5242880 7602176 5242880 0.0875 0 0.45 0 1.08749999999976
+1835008 0 1 0 0 5242880 7864320 5242880 0.0875 0 0.5 0 1.08750000000001
+
+
+# iteration 1835008
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 2 0 0 5242880 3932160 5242880 0.0875 0 -0.25 0 1.0874999999892
+1835008 0 2 0 0 5242880 4063232 5242880 0.0875 0 -0.225 0 1.08749999999431
+1835008 0 2 0 0 5242880 4194304 5242880 0.0875 0 -0.2 0 1.08749999999972
+1835008 0 2 0 0 5242880 4325376 5242880 0.0875 0 -0.175 0 1.08749999998424
+1835008 0 2 0 0 5242880 4456448 5242880 0.0875 0 -0.15 0 1.08749999998951
+1835008 0 2 0 0 5242880 4587520 5242880 0.0875 0 -0.125 0 1.08750000008179
+1835008 0 2 0 0 5242880 4718592 5242880 0.0875 0 -0.1 0 1.08750000016605
+1835008 0 2 0 0 5242880 4849664 5242880 0.0875 0 -0.075 0 1.08750000006059
+1835008 0 2 0 0 5242880 4980736 5242880 0.0875 0 -0.05 0 1.08750000009175
+1835008 0 2 0 0 5242880 5111808 5242880 0.0875 0 -0.025 0 1.08750000003613
+1835008 0 2 0 0 5242880 5242880 5242880 0.0875 0 0 0 1.08750000004775
+1835008 0 2 0 0 5242880 5373952 5242880 0.0875 0 0.025 0 1.08750000003613
+1835008 0 2 0 0 5242880 5505024 5242880 0.0875 0 0.05 0 1.08750000009175
+1835008 0 2 0 0 5242880 5636096 5242880 0.0875 0 0.075 0 1.08750000006059
+1835008 0 2 0 0 5242880 5767168 5242880 0.0875 0 0.1 0 1.08750000016605
+1835008 0 2 0 0 5242880 5898240 5242880 0.0875 0 0.125 0 1.08750000008179
+1835008 0 2 0 0 5242880 6029312 5242880 0.0875 0 0.15 0 1.08749999998951
+1835008 0 2 0 0 5242880 6160384 5242880 0.0875 0 0.175 0 1.08749999998424
+1835008 0 2 0 0 5242880 6291456 5242880 0.0875 0 0.2 0 1.08749999999972
+1835008 0 2 0 0 5242880 6422528 5242880 0.0875 0 0.225 0 1.08749999999431
+1835008 0 2 0 0 5242880 6553600 5242880 0.0875 0 0.25 0 1.0874999999892
+
+
+# iteration 1966080
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 2 0 0 5242880 3932160 5242880 0.09375 0 -0.25 0 1.0937499999896
+1966080 0 2 0 0 5242880 4063232 5242880 0.09375 0 -0.225 0 1.09374999999655
+1966080 0 2 0 0 5242880 4194304 5242880 0.09375 0 -0.2 0 1.09375000000317
+1966080 0 2 0 0 5242880 4325376 5242880 0.09375 0 -0.175 0 1.09374999998465
+1966080 0 2 0 0 5242880 4456448 5242880 0.09375 0 -0.15 0 1.0937499999879
+1966080 0 2 0 0 5242880 4587520 5242880 0.09375 0 -0.125 0 1.09375000008476
+1966080 0 2 0 0 5242880 4718592 5242880 0.09375 0 -0.1 0 1.09375000017699
+1966080 0 2 0 0 5242880 4849664 5242880 0.09375 0 -0.075 0 1.09375000007712
+1966080 0 2 0 0 5242880 4980736 5242880 0.09375 0 -0.05 0 1.09375000011513
+1966080 0 2 0 0 5242880 5111808 5242880 0.09375 0 -0.025 0 1.09375000005053
+1966080 0 2 0 0 5242880 5242880 5242880 0.09375 0 0 0 1.09375000006661
+1966080 0 2 0 0 5242880 5373952 5242880 0.09375 0 0.025 0 1.09375000005053
+1966080 0 2 0 0 5242880 5505024 5242880 0.09375 0 0.05 0 1.09375000011513
+1966080 0 2 0 0 5242880 5636096 5242880 0.09375 0 0.075 0 1.09375000007712
+1966080 0 2 0 0 5242880 5767168 5242880 0.09375 0 0.1 0 1.09375000017699
+1966080 0 2 0 0 5242880 5898240 5242880 0.09375 0 0.125 0 1.09375000008476
+1966080 0 2 0 0 5242880 6029312 5242880 0.09375 0 0.15 0 1.0937499999879
+1966080 0 2 0 0 5242880 6160384 5242880 0.09375 0 0.175 0 1.09374999998465
+1966080 0 2 0 0 5242880 6291456 5242880 0.09375 0 0.2 0 1.09375000000317
+1966080 0 2 0 0 5242880 6422528 5242880 0.09375 0 0.225 0 1.09374999999655
+1966080 0 2 0 0 5242880 6553600 5242880 0.09375 0 0.25 0 1.0937499999896
+
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 5242880 0 5242880 0.1 0 -1 0 1.1
+2097152 0 0 0 0 5242880 524288 5242880 0.1 0 -0.9 0 1.1
+2097152 0 0 0 0 5242880 1048576 5242880 0.1 0 -0.8 0 1.1
+2097152 0 0 0 0 5242880 1572864 5242880 0.1 0 -0.7 0 1.1
+2097152 0 0 0 0 5242880 2097152 5242880 0.1 0 -0.6 0 1.1
+2097152 0 0 0 0 5242880 2621440 5242880 0.1 0 -0.5 0 1.10000000000003
+2097152 0 0 0 0 5242880 3145728 5242880 0.1 0 -0.4 0 1.09999999999964
+2097152 0 0 0 0 5242880 3670016 5242880 0.1 0 -0.3 0 1.10000000000268
+2097152 0 0 0 0 5242880 4194304 5242880 0.1 0 -0.2 0 1.10000000000743
+2097152 0 0 0 0 5242880 4718592 5242880 0.1 0 -0.1 0 1.10000000018839
+2097152 0 0 0 0 5242880 5242880 5242880 0.1 0 0 0 1.10000000009002
+2097152 0 0 0 0 5242880 5767168 5242880 0.1 0 0.1 0 1.10000000018839
+2097152 0 0 0 0 5242880 6291456 5242880 0.1 0 0.2 0 1.10000000000743
+2097152 0 0 0 0 5242880 6815744 5242880 0.1 0 0.3 0 1.10000000000268
+2097152 0 0 0 0 5242880 7340032 5242880 0.1 0 0.4 0 1.09999999999964
+2097152 0 0 0 0 5242880 7864320 5242880 0.1 0 0.5 0 1.10000000000003
+2097152 0 0 0 0 5242880 8388608 5242880 0.1 0 0.6 0 1.1
+2097152 0 0 0 0 5242880 8912896 5242880 0.1 0 0.7 0 1.1
+2097152 0 0 0 0 5242880 9437184 5242880 0.1 0 0.8 0 1.1
+2097152 0 0 0 0 5242880 9961472 5242880 0.1 0 0.9 0 1.1
+2097152 0 0 0 0 5242880 10485760 5242880 0.1 0 1 0 1.1
+
+
+# iteration 2097152
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 1 0 0 5242880 2621440 5242880 0.1 0 -0.5 0 1.10000000000003
+2097152 0 1 0 0 5242880 2883584 5242880 0.1 0 -0.45 0 1.09999999999964
+2097152 0 1 0 0 5242880 3145728 5242880 0.1 0 -0.4 0 1.09999999999964
+2097152 0 1 0 0 5242880 3407872 5242880 0.1 0 -0.35 0 1.10000000000084
+2097152 0 1 0 0 5242880 3670016 5242880 0.1 0 -0.3 0 1.10000000000268
+2097152 0 1 0 0 5242880 3932160 5242880 0.1 0 -0.25 0 1.09999999999394
+2097152 0 1 0 0 5242880 4194304 5242880 0.1 0 -0.2 0 1.10000000000743
+2097152 0 1 0 0 5242880 4456448 5242880 0.1 0 -0.15 0 1.09999999998642
+2097152 0 1 0 0 5242880 4718592 5242880 0.1 0 -0.1 0 1.10000000018839
+2097152 0 1 0 0 5242880 4980736 5242880 0.1 0 -0.05 0 1.10000000014165
+2097152 0 1 0 0 5242880 5242880 5242880 0.1 0 0 0 1.10000000009002
+2097152 0 1 0 0 5242880 5505024 5242880 0.1 0 0.05 0 1.10000000014165
+2097152 0 1 0 0 5242880 5767168 5242880 0.1 0 0.1 0 1.10000000018839
+2097152 0 1 0 0 5242880 6029312 5242880 0.1 0 0.15 0 1.09999999998642
+2097152 0 1 0 0 5242880 6291456 5242880 0.1 0 0.2 0 1.10000000000743
+2097152 0 1 0 0 5242880 6553600 5242880 0.1 0 0.25 0 1.09999999999394
+2097152 0 1 0 0 5242880 6815744 5242880 0.1 0 0.3 0 1.10000000000268
+2097152 0 1 0 0 5242880 7077888 5242880 0.1 0 0.35 0 1.10000000000084
+2097152 0 1 0 0 5242880 7340032 5242880 0.1 0 0.4 0 1.09999999999964
+2097152 0 1 0 0 5242880 7602176 5242880 0.1 0 0.45 0 1.09999999999964
+2097152 0 1 0 0 5242880 7864320 5242880 0.1 0 0.5 0 1.10000000000003
+
+
+# iteration 2097152
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 2 0 0 5242880 3932160 5242880 0.1 0 -0.25 0 1.09999999999394
+2097152 0 2 0 0 5242880 4063232 5242880 0.1 0 -0.225 0 1.10000000000145
+2097152 0 2 0 0 5242880 4194304 5242880 0.1 0 -0.2 0 1.10000000000743
+2097152 0 2 0 0 5242880 4325376 5242880 0.1 0 -0.175 0 1.09999999998514
+2097152 0 2 0 0 5242880 4456448 5242880 0.1 0 -0.15 0 1.09999999998642
+2097152 0 2 0 0 5242880 4587520 5242880 0.1 0 -0.125 0 1.10000000008901
+2097152 0 2 0 0 5242880 4718592 5242880 0.1 0 -0.1 0 1.10000000018839
+2097152 0 2 0 0 5242880 4849664 5242880 0.1 0 -0.075 0 1.10000000009574
+2097152 0 2 0 0 5242880 4980736 5242880 0.1 0 -0.05 0 1.10000000014165
+2097152 0 2 0 0 5242880 5111808 5242880 0.1 0 -0.025 0 1.1000000000684
+2097152 0 2 0 0 5242880 5242880 5242880 0.1 0 0 0 1.10000000009002
+2097152 0 2 0 0 5242880 5373952 5242880 0.1 0 0.025 0 1.1000000000684
+2097152 0 2 0 0 5242880 5505024 5242880 0.1 0 0.05 0 1.10000000014165
+2097152 0 2 0 0 5242880 5636096 5242880 0.1 0 0.075 0 1.10000000009574
+2097152 0 2 0 0 5242880 5767168 5242880 0.1 0 0.1 0 1.10000000018839
+2097152 0 2 0 0 5242880 5898240 5242880 0.1 0 0.125 0 1.10000000008901
+2097152 0 2 0 0 5242880 6029312 5242880 0.1 0 0.15 0 1.09999999998642
+2097152 0 2 0 0 5242880 6160384 5242880 0.1 0 0.175 0 1.09999999998514
+2097152 0 2 0 0 5242880 6291456 5242880 0.1 0 0.2 0 1.10000000000743
+2097152 0 2 0 0 5242880 6422528 5242880 0.1 0 0.225 0 1.10000000000145
+2097152 0 2 0 0 5242880 6553600 5242880 0.1 0 0.25 0 1.09999999999394
+
+
diff --git a/Carpet/CarpetInterp/test/waveinterp/phi.z.asc b/Carpet/CarpetInterp/test/waveinterp/phi.z.asc
new file mode 100644
index 000000000..8434cd831
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phi.z.asc
@@ -0,0 +1,808 @@
+# WAVEMOL::phi z (phi)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 5242880 5242880 0 0 0 0 -1 1
+0 0 0 0 0 5242880 5242880 524288 0 0 0 -0.9 1
+0 0 0 0 0 5242880 5242880 1048576 0 0 0 -0.8 1
+0 0 0 0 0 5242880 5242880 1572864 0 0 0 -0.7 1
+0 0 0 0 0 5242880 5242880 2097152 0 0 0 -0.6 1
+0 0 0 0 0 5242880 5242880 2621440 0 0 0 -0.5 1
+0 0 0 0 0 5242880 5242880 3145728 0 0 0 -0.4 1
+0 0 0 0 0 5242880 5242880 3670016 0 0 0 -0.3 1
+0 0 0 0 0 5242880 5242880 4194304 0 0 0 -0.2 1
+0 0 0 0 0 5242880 5242880 4718592 0 0 0 -0.1 1
+0 0 0 0 0 5242880 5242880 5242880 0 0 0 0 1
+0 0 0 0 0 5242880 5242880 5767168 0 0 0 0.1 1
+0 0 0 0 0 5242880 5242880 6291456 0 0 0 0.2 1
+0 0 0 0 0 5242880 5242880 6815744 0 0 0 0.3 1
+0 0 0 0 0 5242880 5242880 7340032 0 0 0 0.4 1
+0 0 0 0 0 5242880 5242880 7864320 0 0 0 0.5 1
+0 0 0 0 0 5242880 5242880 8388608 0 0 0 0.6 1
+0 0 0 0 0 5242880 5242880 8912896 0 0 0 0.7 1
+0 0 0 0 0 5242880 5242880 9437184 0 0 0 0.8 1
+0 0 0 0 0 5242880 5242880 9961472 0 0 0 0.9 1
+0 0 0 0 0 5242880 5242880 10485760 0 0 0 1 1
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 5242880 5242880 2621440 0 0 0 -0.5 1
+0 0 1 0 0 5242880 5242880 2883584 0 0 0 -0.45 1
+0 0 1 0 0 5242880 5242880 3145728 0 0 0 -0.4 1
+0 0 1 0 0 5242880 5242880 3407872 0 0 0 -0.35 1
+0 0 1 0 0 5242880 5242880 3670016 0 0 0 -0.3 1
+0 0 1 0 0 5242880 5242880 3932160 0 0 0 -0.25 1
+0 0 1 0 0 5242880 5242880 4194304 0 0 0 -0.2 1
+0 0 1 0 0 5242880 5242880 4456448 0 0 0 -0.15 1
+0 0 1 0 0 5242880 5242880 4718592 0 0 0 -0.1 1
+0 0 1 0 0 5242880 5242880 4980736 0 0 0 -0.05 1
+0 0 1 0 0 5242880 5242880 5242880 0 0 0 0 1
+0 0 1 0 0 5242880 5242880 5505024 0 0 0 0.05 1
+0 0 1 0 0 5242880 5242880 5767168 0 0 0 0.1 1
+0 0 1 0 0 5242880 5242880 6029312 0 0 0 0.15 1
+0 0 1 0 0 5242880 5242880 6291456 0 0 0 0.2 1
+0 0 1 0 0 5242880 5242880 6553600 0 0 0 0.25 1
+0 0 1 0 0 5242880 5242880 6815744 0 0 0 0.3 1
+0 0 1 0 0 5242880 5242880 7077888 0 0 0 0.35 1
+0 0 1 0 0 5242880 5242880 7340032 0 0 0 0.4 1
+0 0 1 0 0 5242880 5242880 7602176 0 0 0 0.45 1
+0 0 1 0 0 5242880 5242880 7864320 0 0 0 0.5 1
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 5242880 5242880 3932160 0 0 0 -0.25 1
+0 0 2 0 0 5242880 5242880 4063232 0 0 0 -0.225 1
+0 0 2 0 0 5242880 5242880 4194304 0 0 0 -0.2 1
+0 0 2 0 0 5242880 5242880 4325376 0 0 0 -0.175 1
+0 0 2 0 0 5242880 5242880 4456448 0 0 0 -0.15 1
+0 0 2 0 0 5242880 5242880 4587520 0 0 0 -0.125 1
+0 0 2 0 0 5242880 5242880 4718592 0 0 0 -0.1 1
+0 0 2 0 0 5242880 5242880 4849664 0 0 0 -0.075 1
+0 0 2 0 0 5242880 5242880 4980736 0 0 0 -0.05 1
+0 0 2 0 0 5242880 5242880 5111808 0 0 0 -0.025 1
+0 0 2 0 0 5242880 5242880 5242880 0 0 0 0 1
+0 0 2 0 0 5242880 5242880 5373952 0 0 0 0.025 1
+0 0 2 0 0 5242880 5242880 5505024 0 0 0 0.05 1
+0 0 2 0 0 5242880 5242880 5636096 0 0 0 0.075 1
+0 0 2 0 0 5242880 5242880 5767168 0 0 0 0.1 1
+0 0 2 0 0 5242880 5242880 5898240 0 0 0 0.125 1
+0 0 2 0 0 5242880 5242880 6029312 0 0 0 0.15 1
+0 0 2 0 0 5242880 5242880 6160384 0 0 0 0.175 1
+0 0 2 0 0 5242880 5242880 6291456 0 0 0 0.2 1
+0 0 2 0 0 5242880 5242880 6422528 0 0 0 0.225 1
+0 0 2 0 0 5242880 5242880 6553600 0 0 0 0.25 1
+
+
+# iteration 131072
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 2 0 0 5242880 5242880 3932160 0.00625 0 0 -0.25 1.00625
+131072 0 2 0 0 5242880 5242880 4063232 0.00625 0 0 -0.225 1.00625
+131072 0 2 0 0 5242880 5242880 4194304 0.00625 0 0 -0.2 1.00625
+131072 0 2 0 0 5242880 5242880 4325376 0.00625 0 0 -0.175 1.00625
+131072 0 2 0 0 5242880 5242880 4456448 0.00625 0 0 -0.15 1.00625
+131072 0 2 0 0 5242880 5242880 4587520 0.00625 0 0 -0.125 1.00625
+131072 0 2 0 0 5242880 5242880 4718592 0.00625 0 0 -0.1 1.00625
+131072 0 2 0 0 5242880 5242880 4849664 0.00625 0 0 -0.075 1.00625
+131072 0 2 0 0 5242880 5242880 4980736 0.00625 0 0 -0.05 1.00625
+131072 0 2 0 0 5242880 5242880 5111808 0.00625 0 0 -0.025 1.00625
+131072 0 2 0 0 5242880 5242880 5242880 0.00625 0 0 0 1.00625
+131072 0 2 0 0 5242880 5242880 5373952 0.00625 0 0 0.025 1.00625
+131072 0 2 0 0 5242880 5242880 5505024 0.00625 0 0 0.05 1.00625
+131072 0 2 0 0 5242880 5242880 5636096 0.00625 0 0 0.075 1.00625
+131072 0 2 0 0 5242880 5242880 5767168 0.00625 0 0 0.1 1.00625
+131072 0 2 0 0 5242880 5242880 5898240 0.00625 0 0 0.125 1.00625
+131072 0 2 0 0 5242880 5242880 6029312 0.00625 0 0 0.15 1.00625
+131072 0 2 0 0 5242880 5242880 6160384 0.00625 0 0 0.175 1.00625
+131072 0 2 0 0 5242880 5242880 6291456 0.00625 0 0 0.2 1.00625
+131072 0 2 0 0 5242880 5242880 6422528 0.00625 0 0 0.225 1.00625
+131072 0 2 0 0 5242880 5242880 6553600 0.00625 0 0 0.25 1.00625
+
+
+# iteration 262144
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 1 0 0 5242880 5242880 2621440 0.0125 0 0 -0.5 1.0125
+262144 0 1 0 0 5242880 5242880 2883584 0.0125 0 0 -0.45 1.0125
+262144 0 1 0 0 5242880 5242880 3145728 0.0125 0 0 -0.4 1.0125
+262144 0 1 0 0 5242880 5242880 3407872 0.0125 0 0 -0.35 1.0125
+262144 0 1 0 0 5242880 5242880 3670016 0.0125 0 0 -0.3 1.0125
+262144 0 1 0 0 5242880 5242880 3932160 0.0125 0 0 -0.25 1.0125
+262144 0 1 0 0 5242880 5242880 4194304 0.0125 0 0 -0.2 1.0125
+262144 0 1 0 0 5242880 5242880 4456448 0.0125 0 0 -0.15 1.0125
+262144 0 1 0 0 5242880 5242880 4718592 0.0125 0 0 -0.1 1.01250000000873
+262144 0 1 0 0 5242880 5242880 4980736 0.0125 0 0 -0.05 1.0125
+262144 0 1 0 0 5242880 5242880 5242880 0.0125 0 0 0 1.0125
+262144 0 1 0 0 5242880 5242880 5505024 0.0125 0 0 0.05 1.0125
+262144 0 1 0 0 5242880 5242880 5767168 0.0125 0 0 0.1 1.01250000000873
+262144 0 1 0 0 5242880 5242880 6029312 0.0125 0 0 0.15 1.0125
+262144 0 1 0 0 5242880 5242880 6291456 0.0125 0 0 0.2 1.0125
+262144 0 1 0 0 5242880 5242880 6553600 0.0125 0 0 0.25 1.0125
+262144 0 1 0 0 5242880 5242880 6815744 0.0125 0 0 0.3 1.0125
+262144 0 1 0 0 5242880 5242880 7077888 0.0125 0 0 0.35 1.0125
+262144 0 1 0 0 5242880 5242880 7340032 0.0125 0 0 0.4 1.0125
+262144 0 1 0 0 5242880 5242880 7602176 0.0125 0 0 0.45 1.0125
+262144 0 1 0 0 5242880 5242880 7864320 0.0125 0 0 0.5 1.0125
+
+
+# iteration 262144
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 2 0 0 5242880 5242880 3932160 0.0125 0 0 -0.25 1.0125
+262144 0 2 0 0 5242880 5242880 4063232 0.0125 0 0 -0.225 1.0125
+262144 0 2 0 0 5242880 5242880 4194304 0.0125 0 0 -0.2 1.0125
+262144 0 2 0 0 5242880 5242880 4325376 0.0125 0 0 -0.175 1.01249999999945
+262144 0 2 0 0 5242880 5242880 4456448 0.0125 0 0 -0.15 1.0125
+262144 0 2 0 0 5242880 5242880 4587520 0.0125 0 0 -0.125 1.01250000000491
+262144 0 2 0 0 5242880 5242880 4718592 0.0125 0 0 -0.1 1.01250000000873
+262144 0 2 0 0 5242880 5242880 4849664 0.0125 0 0 -0.075 1.0125
+262144 0 2 0 0 5242880 5242880 4980736 0.0125 0 0 -0.05 1.0125
+262144 0 2 0 0 5242880 5242880 5111808 0.0125 0 0 -0.025 1.0125
+262144 0 2 0 0 5242880 5242880 5242880 0.0125 0 0 0 1.0125
+262144 0 2 0 0 5242880 5242880 5373952 0.0125 0 0 0.025 1.0125
+262144 0 2 0 0 5242880 5242880 5505024 0.0125 0 0 0.05 1.0125
+262144 0 2 0 0 5242880 5242880 5636096 0.0125 0 0 0.075 1.0125
+262144 0 2 0 0 5242880 5242880 5767168 0.0125 0 0 0.1 1.01250000000873
+262144 0 2 0 0 5242880 5242880 5898240 0.0125 0 0 0.125 1.01250000000491
+262144 0 2 0 0 5242880 5242880 6029312 0.0125 0 0 0.15 1.0125
+262144 0 2 0 0 5242880 5242880 6160384 0.0125 0 0 0.175 1.01249999999945
+262144 0 2 0 0 5242880 5242880 6291456 0.0125 0 0 0.2 1.0125
+262144 0 2 0 0 5242880 5242880 6422528 0.0125 0 0 0.225 1.0125
+262144 0 2 0 0 5242880 5242880 6553600 0.0125 0 0 0.25 1.0125
+
+
+# iteration 393216
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 2 0 0 5242880 5242880 3932160 0.01875 0 0 -0.25 1.01875
+393216 0 2 0 0 5242880 5242880 4063232 0.01875 0 0 -0.225 1.01874999999964
+393216 0 2 0 0 5242880 5242880 4194304 0.01875 0 0 -0.2 1.01874999999937
+393216 0 2 0 0 5242880 5242880 4325376 0.01875 0 0 -0.175 1.01874999999822
+393216 0 2 0 0 5242880 5242880 4456448 0.01875 0 0 -0.15 1.01875000000001
+393216 0 2 0 0 5242880 5242880 4587520 0.01875 0 0 -0.125 1.01875000001291
+393216 0 2 0 0 5242880 5242880 4718592 0.01875 0 0 -0.1 1.01875000002589
+393216 0 2 0 0 5242880 5242880 4849664 0.01875 0 0 -0.075 1.01875
+393216 0 2 0 0 5242880 5242880 4980736 0.01875 0 0 -0.05 1.01875000000016
+393216 0 2 0 0 5242880 5242880 5111808 0.01875 0 0 -0.025 1.01875
+393216 0 2 0 0 5242880 5242880 5242880 0.01875 0 0 0 1.01875
+393216 0 2 0 0 5242880 5242880 5373952 0.01875 0 0 0.025 1.01875
+393216 0 2 0 0 5242880 5242880 5505024 0.01875 0 0 0.05 1.01875000000016
+393216 0 2 0 0 5242880 5242880 5636096 0.01875 0 0 0.075 1.01875
+393216 0 2 0 0 5242880 5242880 5767168 0.01875 0 0 0.1 1.01875000002589
+393216 0 2 0 0 5242880 5242880 5898240 0.01875 0 0 0.125 1.01875000001291
+393216 0 2 0 0 5242880 5242880 6029312 0.01875 0 0 0.15 1.01875000000001
+393216 0 2 0 0 5242880 5242880 6160384 0.01875 0 0 0.175 1.01874999999822
+393216 0 2 0 0 5242880 5242880 6291456 0.01875 0 0 0.2 1.01874999999937
+393216 0 2 0 0 5242880 5242880 6422528 0.01875 0 0 0.225 1.01874999999964
+393216 0 2 0 0 5242880 5242880 6553600 0.01875 0 0 0.25 1.01875
+
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 5242880 5242880 0 0.025 0 0 -1 1.025
+524288 0 0 0 0 5242880 5242880 524288 0.025 0 0 -0.9 1.025
+524288 0 0 0 0 5242880 5242880 1048576 0.025 0 0 -0.8 1.025
+524288 0 0 0 0 5242880 5242880 1572864 0.025 0 0 -0.7 1.025
+524288 0 0 0 0 5242880 5242880 2097152 0.025 0 0 -0.6 1.025
+524288 0 0 0 0 5242880 5242880 2621440 0.025 0 0 -0.5 1.025
+524288 0 0 0 0 5242880 5242880 3145728 0.025 0 0 -0.4 1.025
+524288 0 0 0 0 5242880 5242880 3670016 0.025 0 0 -0.3 1.025
+524288 0 0 0 0 5242880 5242880 4194304 0.025 0 0 -0.2 1.02499999999832
+524288 0 0 0 0 5242880 5242880 4718592 0.025 0 0 -0.1 1.02500000004247
+524288 0 0 0 0 5242880 5242880 5242880 0.025 0 0 0 1.02500000000002
+524288 0 0 0 0 5242880 5242880 5767168 0.025 0 0 0.1 1.02500000004247
+524288 0 0 0 0 5242880 5242880 6291456 0.025 0 0 0.2 1.02499999999832
+524288 0 0 0 0 5242880 5242880 6815744 0.025 0 0 0.3 1.025
+524288 0 0 0 0 5242880 5242880 7340032 0.025 0 0 0.4 1.025
+524288 0 0 0 0 5242880 5242880 7864320 0.025 0 0 0.5 1.025
+524288 0 0 0 0 5242880 5242880 8388608 0.025 0 0 0.6 1.025
+524288 0 0 0 0 5242880 5242880 8912896 0.025 0 0 0.7 1.025
+524288 0 0 0 0 5242880 5242880 9437184 0.025 0 0 0.8 1.025
+524288 0 0 0 0 5242880 5242880 9961472 0.025 0 0 0.9 1.025
+524288 0 0 0 0 5242880 5242880 10485760 0.025 0 0 1 1.025
+
+
+# iteration 524288
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 1 0 0 5242880 5242880 2621440 0.025 0 0 -0.5 1.025
+524288 0 1 0 0 5242880 5242880 2883584 0.025 0 0 -0.45 1.025
+524288 0 1 0 0 5242880 5242880 3145728 0.025 0 0 -0.4 1.025
+524288 0 1 0 0 5242880 5242880 3407872 0.025 0 0 -0.35 1.02500000000011
+524288 0 1 0 0 5242880 5242880 3670016 0.025 0 0 -0.3 1.025
+524288 0 1 0 0 5242880 5242880 3932160 0.025 0 0 -0.25 1.0249999999964
+524288 0 1 0 0 5242880 5242880 4194304 0.025 0 0 -0.2 1.02499999999832
+524288 0 1 0 0 5242880 5242880 4456448 0.025 0 0 -0.15 1.02500000000003
+524288 0 1 0 0 5242880 5242880 4718592 0.025 0 0 -0.1 1.02500000004247
+524288 0 1 0 0 5242880 5242880 4980736 0.025 0 0 -0.05 1.02500000000073
+524288 0 1 0 0 5242880 5242880 5242880 0.025 0 0 0 1.02500000000002
+524288 0 1 0 0 5242880 5242880 5505024 0.025 0 0 0.05 1.02500000000073
+524288 0 1 0 0 5242880 5242880 5767168 0.025 0 0 0.1 1.02500000004247
+524288 0 1 0 0 5242880 5242880 6029312 0.025 0 0 0.15 1.02500000000003
+524288 0 1 0 0 5242880 5242880 6291456 0.025 0 0 0.2 1.02499999999832
+524288 0 1 0 0 5242880 5242880 6553600 0.025 0 0 0.25 1.0249999999964
+524288 0 1 0 0 5242880 5242880 6815744 0.025 0 0 0.3 1.025
+524288 0 1 0 0 5242880 5242880 7077888 0.025 0 0 0.35 1.02500000000011
+524288 0 1 0 0 5242880 5242880 7340032 0.025 0 0 0.4 1.025
+524288 0 1 0 0 5242880 5242880 7602176 0.025 0 0 0.45 1.025
+524288 0 1 0 0 5242880 5242880 7864320 0.025 0 0 0.5 1.025
+
+
+# iteration 524288
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 2 0 0 5242880 5242880 3932160 0.025 0 0 -0.25 1.0249999999964
+524288 0 2 0 0 5242880 5242880 4063232 0.025 0 0 -0.225 1.02499999999703
+524288 0 2 0 0 5242880 5242880 4194304 0.025 0 0 -0.2 1.02499999999832
+524288 0 2 0 0 5242880 5242880 4325376 0.025 0 0 -0.175 1.02499999999664
+524288 0 2 0 0 5242880 5242880 4456448 0.025 0 0 -0.15 1.02500000000003
+524288 0 2 0 0 5242880 5242880 4587520 0.025 0 0 -0.125 1.02500000002396
+524288 0 2 0 0 5242880 5242880 4718592 0.025 0 0 -0.1 1.02500000004247
+524288 0 2 0 0 5242880 5242880 4849664 0.025 0 0 -0.075 1.02500000000014
+524288 0 2 0 0 5242880 5242880 4980736 0.025 0 0 -0.05 1.02500000000073
+524288 0 2 0 0 5242880 5242880 5111808 0.025 0 0 -0.025 1.02500000000001
+524288 0 2 0 0 5242880 5242880 5242880 0.025 0 0 0 1.02500000000002
+524288 0 2 0 0 5242880 5242880 5373952 0.025 0 0 0.025 1.02500000000001
+524288 0 2 0 0 5242880 5242880 5505024 0.025 0 0 0.05 1.02500000000073
+524288 0 2 0 0 5242880 5242880 5636096 0.025 0 0 0.075 1.02500000000014
+524288 0 2 0 0 5242880 5242880 5767168 0.025 0 0 0.1 1.02500000004247
+524288 0 2 0 0 5242880 5242880 5898240 0.025 0 0 0.125 1.02500000002396
+524288 0 2 0 0 5242880 5242880 6029312 0.025 0 0 0.15 1.02500000000003
+524288 0 2 0 0 5242880 5242880 6160384 0.025 0 0 0.175 1.02499999999664
+524288 0 2 0 0 5242880 5242880 6291456 0.025 0 0 0.2 1.02499999999832
+524288 0 2 0 0 5242880 5242880 6422528 0.025 0 0 0.225 1.02499999999703
+524288 0 2 0 0 5242880 5242880 6553600 0.025 0 0 0.25 1.0249999999964
+
+
+# iteration 655360
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 2 0 0 5242880 5242880 3932160 0.03125 0 0 -0.25 1.0312499999947
+655360 0 2 0 0 5242880 5242880 4063232 0.03125 0 0 -0.225 1.03124999999534
+655360 0 2 0 0 5242880 5242880 4194304 0.03125 0 0 -0.2 1.03124999999702
+655360 0 2 0 0 5242880 5242880 4325376 0.03125 0 0 -0.175 1.03124999999494
+655360 0 2 0 0 5242880 5242880 4456448 0.03125 0 0 -0.15 1.03124999999993
+655360 0 2 0 0 5242880 5242880 4587520 0.03125 0 0 -0.125 1.03125000003312
+655360 0 2 0 0 5242880 5242880 4718592 0.03125 0 0 -0.1 1.03125000005828
+655360 0 2 0 0 5242880 5242880 4849664 0.03125 0 0 -0.075 1.03125000000063
+655360 0 2 0 0 5242880 5242880 4980736 0.03125 0 0 -0.05 1.03125000000198
+655360 0 2 0 0 5242880 5242880 5111808 0.03125 0 0 -0.025 1.03125000000007
+655360 0 2 0 0 5242880 5242880 5242880 0.03125 0 0 0 1.0312500000001
+655360 0 2 0 0 5242880 5242880 5373952 0.03125 0 0 0.025 1.03125000000007
+655360 0 2 0 0 5242880 5242880 5505024 0.03125 0 0 0.05 1.03125000000198
+655360 0 2 0 0 5242880 5242880 5636096 0.03125 0 0 0.075 1.03125000000063
+655360 0 2 0 0 5242880 5242880 5767168 0.03125 0 0 0.1 1.03125000005828
+655360 0 2 0 0 5242880 5242880 5898240 0.03125 0 0 0.125 1.03125000003312
+655360 0 2 0 0 5242880 5242880 6029312 0.03125 0 0 0.15 1.03124999999993
+655360 0 2 0 0 5242880 5242880 6160384 0.03125 0 0 0.175 1.03124999999494
+655360 0 2 0 0 5242880 5242880 6291456 0.03125 0 0 0.2 1.03124999999702
+655360 0 2 0 0 5242880 5242880 6422528 0.03125 0 0 0.225 1.03124999999534
+655360 0 2 0 0 5242880 5242880 6553600 0.03125 0 0 0.25 1.0312499999947
+
+
+# iteration 786432
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 1 0 0 5242880 5242880 2621440 0.0375 0 0 -0.5 1.0375
+786432 0 1 0 0 5242880 5242880 2883584 0.0375 0 0 -0.45 1.03749999999999
+786432 0 1 0 0 5242880 5242880 3145728 0.0375 0 0 -0.4 1.03749999999999
+786432 0 1 0 0 5242880 5242880 3407872 0.0375 0 0 -0.35 1.03750000000033
+786432 0 1 0 0 5242880 5242880 3670016 0.0375 0 0 -0.3 1.03750000000009
+786432 0 1 0 0 5242880 5242880 3932160 0.0375 0 0 -0.25 1.03749999999307
+786432 0 1 0 0 5242880 5242880 4194304 0.0375 0 0 -0.2 1.03749999999542
+786432 0 1 0 0 5242880 5242880 4456448 0.0375 0 0 -0.15 1.03749999999975
+786432 0 1 0 0 5242880 5242880 4718592 0.0375 0 0 -0.1 1.0375000000732
+786432 0 1 0 0 5242880 5242880 4980736 0.0375 0 0 -0.05 1.03750000000421
+786432 0 1 0 0 5242880 5242880 5242880 0.0375 0 0 0 1.03750000000037
+786432 0 1 0 0 5242880 5242880 5505024 0.0375 0 0 0.05 1.03750000000421
+786432 0 1 0 0 5242880 5242880 5767168 0.0375 0 0 0.1 1.0375000000732
+786432 0 1 0 0 5242880 5242880 6029312 0.0375 0 0 0.15 1.03749999999975
+786432 0 1 0 0 5242880 5242880 6291456 0.0375 0 0 0.2 1.03749999999542
+786432 0 1 0 0 5242880 5242880 6553600 0.0375 0 0 0.25 1.03749999999307
+786432 0 1 0 0 5242880 5242880 6815744 0.0375 0 0 0.3 1.03750000000009
+786432 0 1 0 0 5242880 5242880 7077888 0.0375 0 0 0.35 1.03750000000033
+786432 0 1 0 0 5242880 5242880 7340032 0.0375 0 0 0.4 1.03749999999999
+786432 0 1 0 0 5242880 5242880 7602176 0.0375 0 0 0.45 1.03749999999999
+786432 0 1 0 0 5242880 5242880 7864320 0.0375 0 0 0.5 1.0375
+
+
+# iteration 786432
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 2 0 0 5242880 5242880 3932160 0.0375 0 0 -0.25 1.03749999999307
+786432 0 2 0 0 5242880 5242880 4063232 0.0375 0 0 -0.225 1.03749999999353
+786432 0 2 0 0 5242880 5242880 4194304 0.0375 0 0 -0.2 1.03749999999542
+786432 0 2 0 0 5242880 5242880 4325376 0.0375 0 0 -0.175 1.03749999999314
+786432 0 2 0 0 5242880 5242880 4456448 0.0375 0 0 -0.15 1.03749999999975
+786432 0 2 0 0 5242880 5242880 4587520 0.0375 0 0 -0.125 1.03750000004106
+786432 0 2 0 0 5242880 5242880 4718592 0.0375 0 0 -0.1 1.0375000000732
+786432 0 2 0 0 5242880 5242880 4849664 0.0375 0 0 -0.075 1.03750000000169
+786432 0 2 0 0 5242880 5242880 4980736 0.0375 0 0 -0.05 1.03750000000421
+786432 0 2 0 0 5242880 5242880 5111808 0.0375 0 0 -0.025 1.03750000000026
+786432 0 2 0 0 5242880 5242880 5242880 0.0375 0 0 0 1.03750000000037
+786432 0 2 0 0 5242880 5242880 5373952 0.0375 0 0 0.025 1.03750000000026
+786432 0 2 0 0 5242880 5242880 5505024 0.0375 0 0 0.05 1.03750000000421
+786432 0 2 0 0 5242880 5242880 5636096 0.0375 0 0 0.075 1.03750000000169
+786432 0 2 0 0 5242880 5242880 5767168 0.0375 0 0 0.1 1.0375000000732
+786432 0 2 0 0 5242880 5242880 5898240 0.0375 0 0 0.125 1.03750000004106
+786432 0 2 0 0 5242880 5242880 6029312 0.0375 0 0 0.15 1.03749999999975
+786432 0 2 0 0 5242880 5242880 6160384 0.0375 0 0 0.175 1.03749999999314
+786432 0 2 0 0 5242880 5242880 6291456 0.0375 0 0 0.2 1.03749999999542
+786432 0 2 0 0 5242880 5242880 6422528 0.0375 0 0 0.225 1.03749999999353
+786432 0 2 0 0 5242880 5242880 6553600 0.0375 0 0 0.25 1.03749999999307
+
+
+# iteration 917504
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 2 0 0 5242880 5242880 3932160 0.04375 0 0 -0.25 1.04374999999102
+917504 0 2 0 0 5242880 5242880 4063232 0.04375 0 0 -0.225 1.04374999999181
+917504 0 2 0 0 5242880 5242880 4194304 0.04375 0 0 -0.2 1.04374999999437
+917504 0 2 0 0 5242880 5242880 4325376 0.04375 0 0 -0.175 1.04374999999151
+917504 0 2 0 0 5242880 5242880 4456448 0.04375 0 0 -0.15 1.04374999999929
+917504 0 2 0 0 5242880 5242880 4587520 0.04375 0 0 -0.125 1.04375000004884
+917504 0 2 0 0 5242880 5242880 4718592 0.04375 0 0 -0.1 1.04375000008715
+917504 0 2 0 0 5242880 5242880 4849664 0.04375 0 0 -0.075 1.04375000000356
+917504 0 2 0 0 5242880 5242880 4980736 0.04375 0 0 -0.05 1.04375000000769
+917504 0 2 0 0 5242880 5242880 5111808 0.04375 0 0 -0.025 1.04375000000072
+917504 0 2 0 0 5242880 5242880 5242880 0.04375 0 0 0 1.043750000001
+917504 0 2 0 0 5242880 5242880 5373952 0.04375 0 0 0.025 1.04375000000072
+917504 0 2 0 0 5242880 5242880 5505024 0.04375 0 0 0.05 1.04375000000769
+917504 0 2 0 0 5242880 5242880 5636096 0.04375 0 0 0.075 1.04375000000356
+917504 0 2 0 0 5242880 5242880 5767168 0.04375 0 0 0.1 1.04375000008715
+917504 0 2 0 0 5242880 5242880 5898240 0.04375 0 0 0.125 1.04375000004884
+917504 0 2 0 0 5242880 5242880 6029312 0.04375 0 0 0.15 1.04374999999929
+917504 0 2 0 0 5242880 5242880 6160384 0.04375 0 0 0.175 1.04374999999151
+917504 0 2 0 0 5242880 5242880 6291456 0.04375 0 0 0.2 1.04374999999437
+917504 0 2 0 0 5242880 5242880 6422528 0.04375 0 0 0.225 1.04374999999181
+917504 0 2 0 0 5242880 5242880 6553600 0.04375 0 0 0.25 1.04374999999102
+
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 5242880 5242880 0 0.05 0 0 -1 1.05
+1048576 0 0 0 0 5242880 5242880 524288 0.05 0 0 -0.9 1.05
+1048576 0 0 0 0 5242880 5242880 1048576 0.05 0 0 -0.8 1.05
+1048576 0 0 0 0 5242880 5242880 1572864 0.05 0 0 -0.7 1.05
+1048576 0 0 0 0 5242880 5242880 2097152 0.05 0 0 -0.6 1.05
+1048576 0 0 0 0 5242880 5242880 2621440 0.05 0 0 -0.5 1.05
+1048576 0 0 0 0 5242880 5242880 3145728 0.05 0 0 -0.4 1.04999999999998
+1048576 0 0 0 0 5242880 5242880 3670016 0.05 0 0 -0.3 1.05000000000024
+1048576 0 0 0 0 5242880 5242880 4194304 0.05 0 0 -0.2 1.04999999999358
+1048576 0 0 0 0 5242880 5242880 4718592 0.05 0 0 -0.1 1.05000000010013
+1048576 0 0 0 0 5242880 5242880 5242880 0.05 0 0 0 1.05000000000227
+1048576 0 0 0 0 5242880 5242880 5767168 0.05 0 0 0.1 1.05000000010013
+1048576 0 0 0 0 5242880 5242880 6291456 0.05 0 0 0.2 1.04999999999358
+1048576 0 0 0 0 5242880 5242880 6815744 0.05 0 0 0.3 1.05000000000024
+1048576 0 0 0 0 5242880 5242880 7340032 0.05 0 0 0.4 1.04999999999998
+1048576 0 0 0 0 5242880 5242880 7864320 0.05 0 0 0.5 1.05
+1048576 0 0 0 0 5242880 5242880 8388608 0.05 0 0 0.6 1.05
+1048576 0 0 0 0 5242880 5242880 8912896 0.05 0 0 0.7 1.05
+1048576 0 0 0 0 5242880 5242880 9437184 0.05 0 0 0.8 1.05
+1048576 0 0 0 0 5242880 5242880 9961472 0.05 0 0 0.9 1.05
+1048576 0 0 0 0 5242880 5242880 10485760 0.05 0 0 1 1.05
+
+
+# iteration 1048576
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 1 0 0 5242880 5242880 2621440 0.05 0 0 -0.5 1.05
+1048576 0 1 0 0 5242880 5242880 2883584 0.05 0 0 -0.45 1.04999999999998
+1048576 0 1 0 0 5242880 5242880 3145728 0.05 0 0 -0.4 1.04999999999998
+1048576 0 1 0 0 5242880 5242880 3407872 0.05 0 0 -0.35 1.05000000000053
+1048576 0 1 0 0 5242880 5242880 3670016 0.05 0 0 -0.3 1.05000000000024
+1048576 0 1 0 0 5242880 5242880 3932160 0.05 0 0 -0.25 1.04999999999027
+1048576 0 1 0 0 5242880 5242880 4194304 0.05 0 0 -0.2 1.04999999999358
+1048576 0 1 0 0 5242880 5242880 4456448 0.05 0 0 -0.15 1.04999999999861
+1048576 0 1 0 0 5242880 5242880 4718592 0.05 0 0 -0.1 1.05000000010013
+1048576 0 1 0 0 5242880 5242880 4980736 0.05 0 0 -0.05 1.05000000001273
+1048576 0 1 0 0 5242880 5242880 5242880 0.05 0 0 0 1.05000000000227
+1048576 0 1 0 0 5242880 5242880 5505024 0.05 0 0 0.05 1.05000000001273
+1048576 0 1 0 0 5242880 5242880 5767168 0.05 0 0 0.1 1.05000000010013
+1048576 0 1 0 0 5242880 5242880 6029312 0.05 0 0 0.15 1.04999999999861
+1048576 0 1 0 0 5242880 5242880 6291456 0.05 0 0 0.2 1.04999999999358
+1048576 0 1 0 0 5242880 5242880 6553600 0.05 0 0 0.25 1.04999999999027
+1048576 0 1 0 0 5242880 5242880 6815744 0.05 0 0 0.3 1.05000000000024
+1048576 0 1 0 0 5242880 5242880 7077888 0.05 0 0 0.35 1.05000000000053
+1048576 0 1 0 0 5242880 5242880 7340032 0.05 0 0 0.4 1.04999999999998
+1048576 0 1 0 0 5242880 5242880 7602176 0.05 0 0 0.45 1.04999999999998
+1048576 0 1 0 0 5242880 5242880 7864320 0.05 0 0 0.5 1.05
+
+
+# iteration 1048576
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 2 0 0 5242880 5242880 3932160 0.05 0 0 -0.25 1.04999999999027
+1048576 0 2 0 0 5242880 5242880 4063232 0.05 0 0 -0.225 1.04999999999099
+1048576 0 2 0 0 5242880 5242880 4194304 0.05 0 0 -0.2 1.04999999999358
+1048576 0 2 0 0 5242880 5242880 4325376 0.05 0 0 -0.175 1.04999999998996
+1048576 0 2 0 0 5242880 5242880 4456448 0.05 0 0 -0.15 1.04999999999861
+1048576 0 2 0 0 5242880 5242880 4587520 0.05 0 0 -0.125 1.05000000005515
+1048576 0 2 0 0 5242880 5242880 4718592 0.05 0 0 -0.1 1.05000000010013
+1048576 0 2 0 0 5242880 5242880 4849664 0.05 0 0 -0.075 1.0500000000065
+1048576 0 2 0 0 5242880 5242880 4980736 0.05 0 0 -0.05 1.05000000001273
+1048576 0 2 0 0 5242880 5242880 5111808 0.05 0 0 -0.025 1.05000000000165
+1048576 0 2 0 0 5242880 5242880 5242880 0.05 0 0 0 1.05000000000227
+1048576 0 2 0 0 5242880 5242880 5373952 0.05 0 0 0.025 1.05000000000165
+1048576 0 2 0 0 5242880 5242880 5505024 0.05 0 0 0.05 1.05000000001273
+1048576 0 2 0 0 5242880 5242880 5636096 0.05 0 0 0.075 1.0500000000065
+1048576 0 2 0 0 5242880 5242880 5767168 0.05 0 0 0.1 1.05000000010013
+1048576 0 2 0 0 5242880 5242880 5898240 0.05 0 0 0.125 1.05000000005515
+1048576 0 2 0 0 5242880 5242880 6029312 0.05 0 0 0.15 1.04999999999861
+1048576 0 2 0 0 5242880 5242880 6160384 0.05 0 0 0.175 1.04999999998996
+1048576 0 2 0 0 5242880 5242880 6291456 0.05 0 0 0.2 1.04999999999358
+1048576 0 2 0 0 5242880 5242880 6422528 0.05 0 0 0.225 1.04999999999099
+1048576 0 2 0 0 5242880 5242880 6553600 0.05 0 0 0.25 1.04999999999027
+
+
+# iteration 1179648
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 2 0 0 5242880 5242880 3932160 0.05625 0 0 -0.25 1.05624999998901
+1179648 0 2 0 0 5242880 5242880 4063232 0.05625 0 0 -0.225 1.05624999999015
+1179648 0 2 0 0 5242880 5242880 4194304 0.05625 0 0 -0.2 1.05624999999326
+1179648 0 2 0 0 5242880 5242880 4325376 0.05625 0 0 -0.175 1.05624999998853
+1179648 0 2 0 0 5242880 5242880 4456448 0.05625 0 0 -0.15 1.05624999999763
+1179648 0 2 0 0 5242880 5242880 4587520 0.05625 0 0 -0.125 1.05625000006123
+1179648 0 2 0 0 5242880 5242880 4718592 0.05625 0 0 -0.1 1.05625000011224
+1179648 0 2 0 0 5242880 5242880 4849664 0.05625 0 0 -0.075 1.05625000001079
+1179648 0 2 0 0 5242880 5242880 4980736 0.05625 0 0 -0.05 1.05625000001963
+1179648 0 2 0 0 5242880 5242880 5111808 0.05625 0 0 -0.025 1.05625000000332
+1179648 0 2 0 0 5242880 5242880 5242880 0.05625 0 0 0 1.05625000000452
+1179648 0 2 0 0 5242880 5242880 5373952 0.05625 0 0 0.025 1.05625000000332
+1179648 0 2 0 0 5242880 5242880 5505024 0.05625 0 0 0.05 1.05625000001963
+1179648 0 2 0 0 5242880 5242880 5636096 0.05625 0 0 0.075 1.05625000001079
+1179648 0 2 0 0 5242880 5242880 5767168 0.05625 0 0 0.1 1.05625000011224
+1179648 0 2 0 0 5242880 5242880 5898240 0.05625 0 0 0.125 1.05625000006123
+1179648 0 2 0 0 5242880 5242880 6029312 0.05625 0 0 0.15 1.05624999999763
+1179648 0 2 0 0 5242880 5242880 6160384 0.05625 0 0 0.175 1.05624999998853
+1179648 0 2 0 0 5242880 5242880 6291456 0.05625 0 0 0.2 1.05624999999326
+1179648 0 2 0 0 5242880 5242880 6422528 0.05625 0 0 0.225 1.05624999999015
+1179648 0 2 0 0 5242880 5242880 6553600 0.05625 0 0 0.25 1.05624999998901
+
+
+# iteration 1310720
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 1 0 0 5242880 5242880 2621440 0.0625 0 0 -0.5 1.0625
+1310720 0 1 0 0 5242880 5242880 2883584 0.0625 0 0 -0.45 1.06249999999993
+1310720 0 1 0 0 5242880 5242880 3145728 0.0625 0 0 -0.4 1.06249999999994
+1310720 0 1 0 0 5242880 5242880 3407872 0.0625 0 0 -0.35 1.06250000000083
+1310720 0 1 0 0 5242880 5242880 3670016 0.0625 0 0 -0.3 1.06250000000062
+1310720 0 1 0 0 5242880 5242880 3932160 0.0625 0 0 -0.25 1.06249999998785
+1310720 0 1 0 0 5242880 5242880 4194304 0.0625 0 0 -0.2 1.06249999999333
+1310720 0 1 0 0 5242880 5242880 4456448 0.0625 0 0 -0.15 1.06249999999637
+1310720 0 1 0 0 5242880 5242880 4718592 0.0625 0 0 -0.1 1.06250000012362
+1310720 0 1 0 0 5242880 5242880 4980736 0.0625 0 0 -0.05 1.06250000002869
+1310720 0 1 0 0 5242880 5242880 5242880 0.0625 0 0 0 1.0625000000082
+1310720 0 1 0 0 5242880 5242880 5505024 0.0625 0 0 0.05 1.06250000002869
+1310720 0 1 0 0 5242880 5242880 5767168 0.0625 0 0 0.1 1.06250000012362
+1310720 0 1 0 0 5242880 5242880 6029312 0.0625 0 0 0.15 1.06249999999637
+1310720 0 1 0 0 5242880 5242880 6291456 0.0625 0 0 0.2 1.06249999999333
+1310720 0 1 0 0 5242880 5242880 6553600 0.0625 0 0 0.25 1.06249999998785
+1310720 0 1 0 0 5242880 5242880 6815744 0.0625 0 0 0.3 1.06250000000062
+1310720 0 1 0 0 5242880 5242880 7077888 0.0625 0 0 0.35 1.06250000000083
+1310720 0 1 0 0 5242880 5242880 7340032 0.0625 0 0 0.4 1.06249999999994
+1310720 0 1 0 0 5242880 5242880 7602176 0.0625 0 0 0.45 1.06249999999993
+1310720 0 1 0 0 5242880 5242880 7864320 0.0625 0 0 0.5 1.0625
+
+
+# iteration 1310720
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 2 0 0 5242880 5242880 3932160 0.0625 0 0 -0.25 1.06249999998785
+1310720 0 2 0 0 5242880 5242880 4063232 0.0625 0 0 -0.225 1.0624999999896
+1310720 0 2 0 0 5242880 5242880 4194304 0.0625 0 0 -0.2 1.06249999999333
+1310720 0 2 0 0 5242880 5242880 4325376 0.0625 0 0 -0.175 1.06249999998724
+1310720 0 2 0 0 5242880 5242880 4456448 0.0625 0 0 -0.15 1.06249999999637
+1310720 0 2 0 0 5242880 5242880 4587520 0.0625 0 0 -0.125 1.06250000006612
+1310720 0 2 0 0 5242880 5242880 4718592 0.0625 0 0 -0.1 1.06250000012362
+1310720 0 2 0 0 5242880 5242880 4849664 0.0625 0 0 -0.075 1.06250000001668
+1310720 0 2 0 0 5242880 5242880 4980736 0.0625 0 0 -0.05 1.06250000002869
+1310720 0 2 0 0 5242880 5242880 5111808 0.0625 0 0 -0.025 1.06250000000608
+1310720 0 2 0 0 5242880 5242880 5242880 0.0625 0 0 0 1.0625000000082
+1310720 0 2 0 0 5242880 5242880 5373952 0.0625 0 0 0.025 1.06250000000608
+1310720 0 2 0 0 5242880 5242880 5505024 0.0625 0 0 0.05 1.06250000002869
+1310720 0 2 0 0 5242880 5242880 5636096 0.0625 0 0 0.075 1.06250000001668
+1310720 0 2 0 0 5242880 5242880 5767168 0.0625 0 0 0.1 1.06250000012362
+1310720 0 2 0 0 5242880 5242880 5898240 0.0625 0 0 0.125 1.06250000006612
+1310720 0 2 0 0 5242880 5242880 6029312 0.0625 0 0 0.15 1.06249999999637
+1310720 0 2 0 0 5242880 5242880 6160384 0.0625 0 0 0.175 1.06249999998724
+1310720 0 2 0 0 5242880 5242880 6291456 0.0625 0 0 0.2 1.06249999999333
+1310720 0 2 0 0 5242880 5242880 6422528 0.0625 0 0 0.225 1.0624999999896
+1310720 0 2 0 0 5242880 5242880 6553600 0.0625 0 0 0.25 1.06249999998785
+
+
+# iteration 1441792
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 2 0 0 5242880 5242880 3932160 0.06875 0 0 -0.25 1.06874999998681
+1441792 0 2 0 0 5242880 5242880 4063232 0.06875 0 0 -0.225 1.06874999998947
+1441792 0 2 0 0 5242880 5242880 4194304 0.06875 0 0 -0.2 1.068749999994
+1441792 0 2 0 0 5242880 5242880 4325376 0.06875 0 0 -0.175 1.06874999998618
+1441792 0 2 0 0 5242880 5242880 4456448 0.06875 0 0 -0.15 1.06874999999489
+1441792 0 2 0 0 5242880 5242880 4587520 0.06875 0 0 -0.125 1.06875000007061
+1441792 0 2 0 0 5242880 5242880 4718592 0.06875 0 0 -0.1 1.06875000013445
+1441792 0 2 0 0 5242880 5242880 4849664 0.06875 0 0 -0.075 1.06875000002444
+1441792 0 2 0 0 5242880 5242880 4980736 0.06875 0 0 -0.05 1.06875000004019
+1441792 0 2 0 0 5242880 5242880 5111808 0.06875 0 0 -0.025 1.0687500000103
+1441792 0 2 0 0 5242880 5242880 5242880 0.06875 0 0 0 1.0687500000138
+1441792 0 2 0 0 5242880 5242880 5373952 0.06875 0 0 0.025 1.0687500000103
+1441792 0 2 0 0 5242880 5242880 5505024 0.06875 0 0 0.05 1.06875000004019
+1441792 0 2 0 0 5242880 5242880 5636096 0.06875 0 0 0.075 1.06875000002444
+1441792 0 2 0 0 5242880 5242880 5767168 0.06875 0 0 0.1 1.06875000013445
+1441792 0 2 0 0 5242880 5242880 5898240 0.06875 0 0 0.125 1.06875000007061
+1441792 0 2 0 0 5242880 5242880 6029312 0.06875 0 0 0.15 1.06874999999489
+1441792 0 2 0 0 5242880 5242880 6160384 0.06875 0 0 0.175 1.06874999998618
+1441792 0 2 0 0 5242880 5242880 6291456 0.06875 0 0 0.2 1.068749999994
+1441792 0 2 0 0 5242880 5242880 6422528 0.06875 0 0 0.225 1.06874999998947
+1441792 0 2 0 0 5242880 5242880 6553600 0.06875 0 0 0.25 1.06874999998681
+
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 5242880 5242880 0 0.075 0 0 -1 1.075
+1572864 0 0 0 0 5242880 5242880 524288 0.075 0 0 -0.9 1.075
+1572864 0 0 0 0 5242880 5242880 1048576 0.075 0 0 -0.8 1.075
+1572864 0 0 0 0 5242880 5242880 1572864 0.075 0 0 -0.7 1.075
+1572864 0 0 0 0 5242880 5242880 2097152 0.075 0 0 -0.6 1.075
+1572864 0 0 0 0 5242880 5242880 2621440 0.075 0 0 -0.5 1.075
+1572864 0 0 0 0 5242880 5242880 3145728 0.075 0 0 -0.4 1.07499999999987
+1572864 0 0 0 0 5242880 5242880 3670016 0.075 0 0 -0.3 1.07500000000118
+1572864 0 0 0 0 5242880 5242880 4194304 0.075 0 0 -0.2 1.07499999999519
+1572864 0 0 0 0 5242880 5242880 4718592 0.075 0 0 -0.1 1.07500000014499
+1572864 0 0 0 0 5242880 5242880 5242880 0.075 0 0 0 1.07500000002188
+1572864 0 0 0 0 5242880 5242880 5767168 0.075 0 0 0.1 1.07500000014499
+1572864 0 0 0 0 5242880 5242880 6291456 0.075 0 0 0.2 1.07499999999519
+1572864 0 0 0 0 5242880 5242880 6815744 0.075 0 0 0.3 1.07500000000118
+1572864 0 0 0 0 5242880 5242880 7340032 0.075 0 0 0.4 1.07499999999987
+1572864 0 0 0 0 5242880 5242880 7864320 0.075 0 0 0.5 1.075
+1572864 0 0 0 0 5242880 5242880 8388608 0.075 0 0 0.6 1.075
+1572864 0 0 0 0 5242880 5242880 8912896 0.075 0 0 0.7 1.075
+1572864 0 0 0 0 5242880 5242880 9437184 0.075 0 0 0.8 1.075
+1572864 0 0 0 0 5242880 5242880 9961472 0.075 0 0 0.9 1.075
+1572864 0 0 0 0 5242880 5242880 10485760 0.075 0 0 1 1.075
+
+
+# iteration 1572864
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 1 0 0 5242880 5242880 2621440 0.075 0 0 -0.5 1.075
+1572864 0 1 0 0 5242880 5242880 2883584 0.075 0 0 -0.45 1.07499999999986
+1572864 0 1 0 0 5242880 5242880 3145728 0.075 0 0 -0.4 1.07499999999987
+1572864 0 1 0 0 5242880 5242880 3407872 0.075 0 0 -0.35 1.07500000000089
+1572864 0 1 0 0 5242880 5242880 3670016 0.075 0 0 -0.3 1.07500000000118
+1572864 0 1 0 0 5242880 5242880 3932160 0.075 0 0 -0.25 1.0749999999889
+1572864 0 1 0 0 5242880 5242880 4194304 0.075 0 0 -0.2 1.07499999999519
+1572864 0 1 0 0 5242880 5242880 4456448 0.075 0 0 -0.15 1.07499999999316
+1572864 0 1 0 0 5242880 5242880 4718592 0.075 0 0 -0.1 1.07500000014499
+1572864 0 1 0 0 5242880 5242880 4980736 0.075 0 0 -0.05 1.0750000000544
+1572864 0 1 0 0 5242880 5242880 5242880 0.075 0 0 0 1.07500000002188
+1572864 0 1 0 0 5242880 5242880 5505024 0.075 0 0 0.05 1.0750000000544
+1572864 0 1 0 0 5242880 5242880 5767168 0.075 0 0 0.1 1.07500000014499
+1572864 0 1 0 0 5242880 5242880 6029312 0.075 0 0 0.15 1.07499999999316
+1572864 0 1 0 0 5242880 5242880 6291456 0.075 0 0 0.2 1.07499999999519
+1572864 0 1 0 0 5242880 5242880 6553600 0.075 0 0 0.25 1.0749999999889
+1572864 0 1 0 0 5242880 5242880 6815744 0.075 0 0 0.3 1.07500000000118
+1572864 0 1 0 0 5242880 5242880 7077888 0.075 0 0 0.35 1.07500000000089
+1572864 0 1 0 0 5242880 5242880 7340032 0.075 0 0 0.4 1.07499999999987
+1572864 0 1 0 0 5242880 5242880 7602176 0.075 0 0 0.45 1.07499999999986
+1572864 0 1 0 0 5242880 5242880 7864320 0.075 0 0 0.5 1.075
+
+
+# iteration 1572864
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 2 0 0 5242880 5242880 3932160 0.075 0 0 -0.25 1.0749999999889
+1572864 0 2 0 0 5242880 5242880 4063232 0.075 0 0 -0.225 1.07499999999141
+1572864 0 2 0 0 5242880 5242880 4194304 0.075 0 0 -0.2 1.07499999999519
+1572864 0 2 0 0 5242880 5242880 4325376 0.075 0 0 -0.175 1.07499999998508
+1572864 0 2 0 0 5242880 5242880 4456448 0.075 0 0 -0.15 1.07499999999316
+1572864 0 2 0 0 5242880 5242880 4587520 0.075 0 0 -0.125 1.0750000000746
+1572864 0 2 0 0 5242880 5242880 4718592 0.075 0 0 -0.1 1.07500000014499
+1572864 0 2 0 0 5242880 5242880 4849664 0.075 0 0 -0.075 1.07500000003426
+1572864 0 2 0 0 5242880 5242880 4980736 0.075 0 0 -0.05 1.0750000000544
+1572864 0 2 0 0 5242880 5242880 5111808 0.075 0 0 -0.025 1.07500000001642
+1572864 0 2 0 0 5242880 5242880 5242880 0.075 0 0 0 1.07500000002188
+1572864 0 2 0 0 5242880 5242880 5373952 0.075 0 0 0.025 1.07500000001642
+1572864 0 2 0 0 5242880 5242880 5505024 0.075 0 0 0.05 1.0750000000544
+1572864 0 2 0 0 5242880 5242880 5636096 0.075 0 0 0.075 1.07500000003426
+1572864 0 2 0 0 5242880 5242880 5767168 0.075 0 0 0.1 1.07500000014499
+1572864 0 2 0 0 5242880 5242880 5898240 0.075 0 0 0.125 1.0750000000746
+1572864 0 2 0 0 5242880 5242880 6029312 0.075 0 0 0.15 1.07499999999316
+1572864 0 2 0 0 5242880 5242880 6160384 0.075 0 0 0.175 1.07499999998508
+1572864 0 2 0 0 5242880 5242880 6291456 0.075 0 0 0.2 1.07499999999519
+1572864 0 2 0 0 5242880 5242880 6422528 0.075 0 0 0.225 1.07499999999141
+1572864 0 2 0 0 5242880 5242880 6553600 0.075 0 0 0.25 1.0749999999889
+
+
+# iteration 1703936
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 2 0 0 5242880 5242880 3932160 0.08125 0 0 -0.25 1.08124999998915
+1703936 0 2 0 0 5242880 5242880 4063232 0.08125 0 0 -0.225 1.08124999999272
+1703936 0 2 0 0 5242880 5242880 4194304 0.08125 0 0 -0.2 1.08124999999712
+1703936 0 2 0 0 5242880 5242880 4325376 0.08125 0 0 -0.175 1.08124999998455
+1703936 0 2 0 0 5242880 5242880 4456448 0.08125 0 0 -0.15 1.08124999999139
+1703936 0 2 0 0 5242880 5242880 4587520 0.08125 0 0 -0.125 1.08125000007798
+1703936 0 2 0 0 5242880 5242880 4718592 0.08125 0 0 -0.1 1.08125000015544
+1703936 0 2 0 0 5242880 5242880 4849664 0.08125 0 0 -0.075 1.08125000004629
+1703936 0 2 0 0 5242880 5242880 4980736 0.08125 0 0 -0.05 1.08125000007153
+1703936 0 2 0 0 5242880 5242880 5111808 0.08125 0 0 -0.025 1.08125000002489
+1703936 0 2 0 0 5242880 5242880 5242880 0.08125 0 0 0 1.08125000003301
+1703936 0 2 0 0 5242880 5242880 5373952 0.08125 0 0 0.025 1.08125000002489
+1703936 0 2 0 0 5242880 5242880 5505024 0.08125 0 0 0.05 1.08125000007153
+1703936 0 2 0 0 5242880 5242880 5636096 0.08125 0 0 0.075 1.08125000004629
+1703936 0 2 0 0 5242880 5242880 5767168 0.08125 0 0 0.1 1.08125000015544
+1703936 0 2 0 0 5242880 5242880 5898240 0.08125 0 0 0.125 1.08125000007798
+1703936 0 2 0 0 5242880 5242880 6029312 0.08125 0 0 0.15 1.08124999999139
+1703936 0 2 0 0 5242880 5242880 6160384 0.08125 0 0 0.175 1.08124999998455
+1703936 0 2 0 0 5242880 5242880 6291456 0.08125 0 0 0.2 1.08124999999712
+1703936 0 2 0 0 5242880 5242880 6422528 0.08125 0 0 0.225 1.08124999999272
+1703936 0 2 0 0 5242880 5242880 6553600 0.08125 0 0 0.25 1.08124999998915
+
+
+# iteration 1835008
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 1 0 0 5242880 5242880 2621440 0.0875 0 0 -0.5 1.08750000000001
+1835008 0 1 0 0 5242880 5242880 2883584 0.0875 0 0 -0.45 1.08749999999976
+1835008 0 1 0 0 5242880 5242880 3145728 0.0875 0 0 -0.4 1.08749999999977
+1835008 0 1 0 0 5242880 5242880 3407872 0.0875 0 0 -0.35 1.08750000000108
+1835008 0 1 0 0 5242880 5242880 3670016 0.0875 0 0 -0.3 1.08750000000186
+1835008 0 1 0 0 5242880 5242880 3932160 0.0875 0 0 -0.25 1.0874999999892
+1835008 0 1 0 0 5242880 5242880 4194304 0.0875 0 0 -0.2 1.08749999999972
+1835008 0 1 0 0 5242880 5242880 4456448 0.0875 0 0 -0.15 1.08749999998951
+1835008 0 1 0 0 5242880 5242880 4718592 0.0875 0 0 -0.1 1.08750000016605
+1835008 0 1 0 0 5242880 5242880 4980736 0.0875 0 0 -0.05 1.08750000009175
+1835008 0 1 0 0 5242880 5242880 5242880 0.0875 0 0 0 1.08750000004775
+1835008 0 1 0 0 5242880 5242880 5505024 0.0875 0 0 0.05 1.08750000009175
+1835008 0 1 0 0 5242880 5242880 5767168 0.0875 0 0 0.1 1.08750000016605
+1835008 0 1 0 0 5242880 5242880 6029312 0.0875 0 0 0.15 1.08749999998951
+1835008 0 1 0 0 5242880 5242880 6291456 0.0875 0 0 0.2 1.08749999999972
+1835008 0 1 0 0 5242880 5242880 6553600 0.0875 0 0 0.25 1.0874999999892
+1835008 0 1 0 0 5242880 5242880 6815744 0.0875 0 0 0.3 1.08750000000186
+1835008 0 1 0 0 5242880 5242880 7077888 0.0875 0 0 0.35 1.08750000000108
+1835008 0 1 0 0 5242880 5242880 7340032 0.0875 0 0 0.4 1.08749999999977
+1835008 0 1 0 0 5242880 5242880 7602176 0.0875 0 0 0.45 1.08749999999976
+1835008 0 1 0 0 5242880 5242880 7864320 0.0875 0 0 0.5 1.08750000000001
+
+
+# iteration 1835008
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 2 0 0 5242880 5242880 3932160 0.0875 0 0 -0.25 1.0874999999892
+1835008 0 2 0 0 5242880 5242880 4063232 0.0875 0 0 -0.225 1.08749999999431
+1835008 0 2 0 0 5242880 5242880 4194304 0.0875 0 0 -0.2 1.08749999999972
+1835008 0 2 0 0 5242880 5242880 4325376 0.0875 0 0 -0.175 1.08749999998424
+1835008 0 2 0 0 5242880 5242880 4456448 0.0875 0 0 -0.15 1.08749999998951
+1835008 0 2 0 0 5242880 5242880 4587520 0.0875 0 0 -0.125 1.08750000008179
+1835008 0 2 0 0 5242880 5242880 4718592 0.0875 0 0 -0.1 1.08750000016605
+1835008 0 2 0 0 5242880 5242880 4849664 0.0875 0 0 -0.075 1.08750000006059
+1835008 0 2 0 0 5242880 5242880 4980736 0.0875 0 0 -0.05 1.08750000009175
+1835008 0 2 0 0 5242880 5242880 5111808 0.0875 0 0 -0.025 1.08750000003613
+1835008 0 2 0 0 5242880 5242880 5242880 0.0875 0 0 0 1.08750000004775
+1835008 0 2 0 0 5242880 5242880 5373952 0.0875 0 0 0.025 1.08750000003613
+1835008 0 2 0 0 5242880 5242880 5505024 0.0875 0 0 0.05 1.08750000009175
+1835008 0 2 0 0 5242880 5242880 5636096 0.0875 0 0 0.075 1.08750000006059
+1835008 0 2 0 0 5242880 5242880 5767168 0.0875 0 0 0.1 1.08750000016605
+1835008 0 2 0 0 5242880 5242880 5898240 0.0875 0 0 0.125 1.08750000008179
+1835008 0 2 0 0 5242880 5242880 6029312 0.0875 0 0 0.15 1.08749999998951
+1835008 0 2 0 0 5242880 5242880 6160384 0.0875 0 0 0.175 1.08749999998424
+1835008 0 2 0 0 5242880 5242880 6291456 0.0875 0 0 0.2 1.08749999999972
+1835008 0 2 0 0 5242880 5242880 6422528 0.0875 0 0 0.225 1.08749999999431
+1835008 0 2 0 0 5242880 5242880 6553600 0.0875 0 0 0.25 1.0874999999892
+
+
+# iteration 1966080
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 2 0 0 5242880 5242880 3932160 0.09375 0 0 -0.25 1.0937499999896
+1966080 0 2 0 0 5242880 5242880 4063232 0.09375 0 0 -0.225 1.09374999999655
+1966080 0 2 0 0 5242880 5242880 4194304 0.09375 0 0 -0.2 1.09375000000317
+1966080 0 2 0 0 5242880 5242880 4325376 0.09375 0 0 -0.175 1.09374999998465
+1966080 0 2 0 0 5242880 5242880 4456448 0.09375 0 0 -0.15 1.0937499999879
+1966080 0 2 0 0 5242880 5242880 4587520 0.09375 0 0 -0.125 1.09375000008476
+1966080 0 2 0 0 5242880 5242880 4718592 0.09375 0 0 -0.1 1.09375000017699
+1966080 0 2 0 0 5242880 5242880 4849664 0.09375 0 0 -0.075 1.09375000007712
+1966080 0 2 0 0 5242880 5242880 4980736 0.09375 0 0 -0.05 1.09375000011513
+1966080 0 2 0 0 5242880 5242880 5111808 0.09375 0 0 -0.025 1.09375000005053
+1966080 0 2 0 0 5242880 5242880 5242880 0.09375 0 0 0 1.09375000006661
+1966080 0 2 0 0 5242880 5242880 5373952 0.09375 0 0 0.025 1.09375000005053
+1966080 0 2 0 0 5242880 5242880 5505024 0.09375 0 0 0.05 1.09375000011513
+1966080 0 2 0 0 5242880 5242880 5636096 0.09375 0 0 0.075 1.09375000007712
+1966080 0 2 0 0 5242880 5242880 5767168 0.09375 0 0 0.1 1.09375000017699
+1966080 0 2 0 0 5242880 5242880 5898240 0.09375 0 0 0.125 1.09375000008476
+1966080 0 2 0 0 5242880 5242880 6029312 0.09375 0 0 0.15 1.0937499999879
+1966080 0 2 0 0 5242880 5242880 6160384 0.09375 0 0 0.175 1.09374999998465
+1966080 0 2 0 0 5242880 5242880 6291456 0.09375 0 0 0.2 1.09375000000317
+1966080 0 2 0 0 5242880 5242880 6422528 0.09375 0 0 0.225 1.09374999999655
+1966080 0 2 0 0 5242880 5242880 6553600 0.09375 0 0 0.25 1.0937499999896
+
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 5242880 5242880 0 0.1 0 0 -1 1.1
+2097152 0 0 0 0 5242880 5242880 524288 0.1 0 0 -0.9 1.1
+2097152 0 0 0 0 5242880 5242880 1048576 0.1 0 0 -0.8 1.1
+2097152 0 0 0 0 5242880 5242880 1572864 0.1 0 0 -0.7 1.1
+2097152 0 0 0 0 5242880 5242880 2097152 0.1 0 0 -0.6 1.1
+2097152 0 0 0 0 5242880 5242880 2621440 0.1 0 0 -0.5 1.10000000000003
+2097152 0 0 0 0 5242880 5242880 3145728 0.1 0 0 -0.4 1.09999999999964
+2097152 0 0 0 0 5242880 5242880 3670016 0.1 0 0 -0.3 1.10000000000268
+2097152 0 0 0 0 5242880 5242880 4194304 0.1 0 0 -0.2 1.10000000000743
+2097152 0 0 0 0 5242880 5242880 4718592 0.1 0 0 -0.1 1.10000000018839
+2097152 0 0 0 0 5242880 5242880 5242880 0.1 0 0 0 1.10000000009002
+2097152 0 0 0 0 5242880 5242880 5767168 0.1 0 0 0.1 1.10000000018839
+2097152 0 0 0 0 5242880 5242880 6291456 0.1 0 0 0.2 1.10000000000743
+2097152 0 0 0 0 5242880 5242880 6815744 0.1 0 0 0.3 1.10000000000268
+2097152 0 0 0 0 5242880 5242880 7340032 0.1 0 0 0.4 1.09999999999964
+2097152 0 0 0 0 5242880 5242880 7864320 0.1 0 0 0.5 1.10000000000003
+2097152 0 0 0 0 5242880 5242880 8388608 0.1 0 0 0.6 1.1
+2097152 0 0 0 0 5242880 5242880 8912896 0.1 0 0 0.7 1.1
+2097152 0 0 0 0 5242880 5242880 9437184 0.1 0 0 0.8 1.1
+2097152 0 0 0 0 5242880 5242880 9961472 0.1 0 0 0.9 1.1
+2097152 0 0 0 0 5242880 5242880 10485760 0.1 0 0 1 1.1
+
+
+# iteration 2097152
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 1 0 0 5242880 5242880 2621440 0.1 0 0 -0.5 1.10000000000003
+2097152 0 1 0 0 5242880 5242880 2883584 0.1 0 0 -0.45 1.09999999999964
+2097152 0 1 0 0 5242880 5242880 3145728 0.1 0 0 -0.4 1.09999999999964
+2097152 0 1 0 0 5242880 5242880 3407872 0.1 0 0 -0.35 1.10000000000084
+2097152 0 1 0 0 5242880 5242880 3670016 0.1 0 0 -0.3 1.10000000000268
+2097152 0 1 0 0 5242880 5242880 3932160 0.1 0 0 -0.25 1.09999999999394
+2097152 0 1 0 0 5242880 5242880 4194304 0.1 0 0 -0.2 1.10000000000743
+2097152 0 1 0 0 5242880 5242880 4456448 0.1 0 0 -0.15 1.09999999998642
+2097152 0 1 0 0 5242880 5242880 4718592 0.1 0 0 -0.1 1.10000000018839
+2097152 0 1 0 0 5242880 5242880 4980736 0.1 0 0 -0.05 1.10000000014165
+2097152 0 1 0 0 5242880 5242880 5242880 0.1 0 0 0 1.10000000009002
+2097152 0 1 0 0 5242880 5242880 5505024 0.1 0 0 0.05 1.10000000014165
+2097152 0 1 0 0 5242880 5242880 5767168 0.1 0 0 0.1 1.10000000018839
+2097152 0 1 0 0 5242880 5242880 6029312 0.1 0 0 0.15 1.09999999998642
+2097152 0 1 0 0 5242880 5242880 6291456 0.1 0 0 0.2 1.10000000000743
+2097152 0 1 0 0 5242880 5242880 6553600 0.1 0 0 0.25 1.09999999999394
+2097152 0 1 0 0 5242880 5242880 6815744 0.1 0 0 0.3 1.10000000000268
+2097152 0 1 0 0 5242880 5242880 7077888 0.1 0 0 0.35 1.10000000000084
+2097152 0 1 0 0 5242880 5242880 7340032 0.1 0 0 0.4 1.09999999999964
+2097152 0 1 0 0 5242880 5242880 7602176 0.1 0 0 0.45 1.09999999999964
+2097152 0 1 0 0 5242880 5242880 7864320 0.1 0 0 0.5 1.10000000000003
+
+
+# iteration 2097152
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 2 0 0 5242880 5242880 3932160 0.1 0 0 -0.25 1.09999999999394
+2097152 0 2 0 0 5242880 5242880 4063232 0.1 0 0 -0.225 1.10000000000145
+2097152 0 2 0 0 5242880 5242880 4194304 0.1 0 0 -0.2 1.10000000000743
+2097152 0 2 0 0 5242880 5242880 4325376 0.1 0 0 -0.175 1.09999999998514
+2097152 0 2 0 0 5242880 5242880 4456448 0.1 0 0 -0.15 1.09999999998642
+2097152 0 2 0 0 5242880 5242880 4587520 0.1 0 0 -0.125 1.10000000008901
+2097152 0 2 0 0 5242880 5242880 4718592 0.1 0 0 -0.1 1.10000000018839
+2097152 0 2 0 0 5242880 5242880 4849664 0.1 0 0 -0.075 1.10000000009574
+2097152 0 2 0 0 5242880 5242880 4980736 0.1 0 0 -0.05 1.10000000014165
+2097152 0 2 0 0 5242880 5242880 5111808 0.1 0 0 -0.025 1.1000000000684
+2097152 0 2 0 0 5242880 5242880 5242880 0.1 0 0 0 1.10000000009002
+2097152 0 2 0 0 5242880 5242880 5373952 0.1 0 0 0.025 1.1000000000684
+2097152 0 2 0 0 5242880 5242880 5505024 0.1 0 0 0.05 1.10000000014165
+2097152 0 2 0 0 5242880 5242880 5636096 0.1 0 0 0.075 1.10000000009574
+2097152 0 2 0 0 5242880 5242880 5767168 0.1 0 0 0.1 1.10000000018839
+2097152 0 2 0 0 5242880 5242880 5898240 0.1 0 0 0.125 1.10000000008901
+2097152 0 2 0 0 5242880 5242880 6029312 0.1 0 0 0.15 1.09999999998642
+2097152 0 2 0 0 5242880 5242880 6160384 0.1 0 0 0.175 1.09999999998514
+2097152 0 2 0 0 5242880 5242880 6291456 0.1 0 0 0.2 1.10000000000743
+2097152 0 2 0 0 5242880 5242880 6422528 0.1 0 0 0.225 1.10000000000145
+2097152 0 2 0 0 5242880 5242880 6553600 0.1 0 0 0.25 1.09999999999394
+
+
diff --git a/Carpet/CarpetInterp/test/waveinterp/phit..asc b/Carpet/CarpetInterp/test/waveinterp/phit..asc
new file mode 100644
index 000000000..e23cc92df
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phit..asc
@@ -0,0 +1,157 @@
+# WAVEMOL::phit (phit)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 5242880 5242880 5242880 0 0 0 0 1
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 5242880 5242880 5242880 0 0 0 0 1
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 5242880 5242880 5242880 0 0 0 0 1
+
+# iteration 131072
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 2 0 0 5242880 5242880 5242880 0.00625 0 0 0 1
+
+# iteration 262144
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 1 0 0 5242880 5242880 5242880 0.0125 0 0 0 1
+
+# iteration 262144
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 2 0 0 5242880 5242880 5242880 0.0125 0 0 0 1
+
+# iteration 393216
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 2 0 0 5242880 5242880 5242880 0.01875 0 0 0 1.00000000000068
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 5242880 5242880 5242880 0.025 0 0 0 1.0000000000064
+
+# iteration 524288
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 1 0 0 5242880 5242880 5242880 0.025 0 0 0 1.0000000000064
+
+# iteration 524288
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 2 0 0 5242880 5242880 5242880 0.025 0 0 0 1.0000000000064
+
+# iteration 655360
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 2 0 0 5242880 5242880 5242880 0.03125 0 0 0 1.00000000002479
+
+# iteration 786432
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 1 0 0 5242880 5242880 5242880 0.0375 0 0 0 1.00000000006647
+
+# iteration 786432
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 2 0 0 5242880 5242880 5242880 0.0375 0 0 0 1.00000000006647
+
+# iteration 917504
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 2 0 0 5242880 5242880 5242880 0.04375 0 0 0 1.00000000014416
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 5242880 5242880 5242880 0.05 0 0 0 1.00000000027159
+
+# iteration 1048576
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 1 0 0 5242880 5242880 5242880 0.05 0 0 0 1.00000000027159
+
+# iteration 1048576
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 2 0 0 5242880 5242880 5242880 0.05 0 0 0 1.00000000027159
+
+# iteration 1179648
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 2 0 0 5242880 5242880 5242880 0.05625 0 0 0 1.00000000046233
+
+# iteration 1310720
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 1 0 0 5242880 5242880 5242880 0.0625 0 0 0 1.00000000072855
+
+# iteration 1310720
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 2 0 0 5242880 5242880 5242880 0.0625 0 0 0 1.00000000072855
+
+# iteration 1441792
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 2 0 0 5242880 5242880 5242880 0.06875 0 0 0 1.00000000107976
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 5242880 5242880 5242880 0.075 0 0 0 1.00000000152164
+
+# iteration 1572864
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 1 0 0 5242880 5242880 5242880 0.075 0 0 0 1.00000000152164
+
+# iteration 1572864
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 2 0 0 5242880 5242880 5242880 0.075 0 0 0 1.00000000152164
+
+# iteration 1703936
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 2 0 0 5242880 5242880 5242880 0.08125 0 0 0 1.00000000205505
+
+# iteration 1835008
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 1 0 0 5242880 5242880 5242880 0.0875 0 0 0 1.00000000267514
+
+# iteration 1835008
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 2 0 0 5242880 5242880 5242880 0.0875 0 0 0 1.00000000267514
+
+# iteration 1966080
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 2 0 0 5242880 5242880 5242880 0.09375 0 0 0 1.0000000033708
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 5242880 5242880 5242880 0.1 0 0 0 1.00000000412429
+
+# iteration 2097152
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 1 0 0 5242880 5242880 5242880 0.1 0 0 0 1.00000000412429
+
+# iteration 2097152
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 2 0 0 5242880 5242880 5242880 0.1 0 0 0 1.00000000412429
+
diff --git a/Carpet/CarpetInterp/test/waveinterp/phit.average.asc b/Carpet/CarpetInterp/test/waveinterp/phit.average.asc
new file mode 100644
index 000000000..58c4aeb0f
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phit.average.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phit (phit)
+# iteration time data
+0 0 1
+131072 0.00625 1
+262144 0.0125 1.00000000000514
+393216 0.01875 1.00000000000509
+524288 0.025 1.00000000000256
+655360 0.03125 1.00000000000228
+786432 0.0375 1.00000000000246
+917504 0.04375 1.00000000000268
+1048576 0.05 1.00000000000377
+1179648 0.05625 1.00000000000409
+1310720 0.0625 1.00000000000391
+1441792 0.06875 1.00000000000408
+1572864 0.075 1.0000000000052
+1703936 0.08125 1.00000000000555
+1835008 0.0875 1.00000000000547
+1966080 0.09375 1.00000000000555
+2097152 0.1 1.00000000000645
diff --git a/Carpet/CarpetInterp/test/waveinterp/phit.count.asc b/Carpet/CarpetInterp/test/waveinterp/phit.count.asc
new file mode 100644
index 000000000..4276ce759
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phit.count.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phit (phit)
+# iteration time data
+0 0 8000
+131072 0.00625 8000
+262144 0.0125 8000
+393216 0.01875 8000
+524288 0.025 8000
+655360 0.03125 8000
+786432 0.0375 8000
+917504 0.04375 8000
+1048576 0.05 8000
+1179648 0.05625 8000
+1310720 0.0625 8000
+1441792 0.06875 8000
+1572864 0.075 8000
+1703936 0.08125 8000
+1835008 0.0875 8000
+1966080 0.09375 8000
+2097152 0.1 8000
diff --git a/Carpet/CarpetInterp/test/waveinterp/phit.maximum.asc b/Carpet/CarpetInterp/test/waveinterp/phit.maximum.asc
new file mode 100644
index 000000000..358cedfb3
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phit.maximum.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phit (phit)
+# iteration time data
+0 0 1
+131072 0.00625 1
+262144 0.0125 1.00000000827039
+393216 0.01875 1.00000000787054
+524288 0.025 1.00000000721878
+655360 0.03125 1.0000000063627
+786432 0.0375 1.00000000530544
+917504 0.04375 1.00000000415662
+1048576 0.05 1.00000000341211
+1179648 0.05625 1.00000000326784
+1310720 0.0625 1.00000000343891
+1441792 0.06875 1.00000000394363
+1572864 0.075 1.00000000436563
+1703936 0.08125 1.00000000467698
+1835008 0.0875 1.00000000485431
+1966080 0.09375 1.00000000488022
+2097152 0.1 1.00000000474456
diff --git a/Carpet/CarpetInterp/test/waveinterp/phit.minimum.asc b/Carpet/CarpetInterp/test/waveinterp/phit.minimum.asc
new file mode 100644
index 000000000..3505e7e1f
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phit.minimum.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phit (phit)
+# iteration time data
+0 0 1
+131072 0.00625 1
+262144 0.0125 0.999999999483101
+393216 0.01875 0.999999999397942
+524288 0.025 0.999999999427617
+655360 0.03125 0.999999999345371
+786432 0.0375 0.999999999399089
+917504 0.04375 0.999999999449241
+1048576 0.05 0.999999999634946
+1179648 0.05625 0.999999999655201
+1310720 0.0625 0.999999999680185
+1441792 0.06875 0.999999999418723
+1572864 0.075 0.999999998455141
+1703936 0.08125 0.999999997683483
+1835008 0.0875 0.999999997080893
+1966080 0.09375 0.999999996689522
+2097152 0.1 0.999999996482608
diff --git a/Carpet/CarpetInterp/test/waveinterp/phit.norm1.asc b/Carpet/CarpetInterp/test/waveinterp/phit.norm1.asc
new file mode 100644
index 000000000..58c4aeb0f
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phit.norm1.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phit (phit)
+# iteration time data
+0 0 1
+131072 0.00625 1
+262144 0.0125 1.00000000000514
+393216 0.01875 1.00000000000509
+524288 0.025 1.00000000000256
+655360 0.03125 1.00000000000228
+786432 0.0375 1.00000000000246
+917504 0.04375 1.00000000000268
+1048576 0.05 1.00000000000377
+1179648 0.05625 1.00000000000409
+1310720 0.0625 1.00000000000391
+1441792 0.06875 1.00000000000408
+1572864 0.075 1.0000000000052
+1703936 0.08125 1.00000000000555
+1835008 0.0875 1.00000000000547
+1966080 0.09375 1.00000000000555
+2097152 0.1 1.00000000000645
diff --git a/Carpet/CarpetInterp/test/waveinterp/phit.norm2.asc b/Carpet/CarpetInterp/test/waveinterp/phit.norm2.asc
new file mode 100644
index 000000000..7a3b878bb
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phit.norm2.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phit (phit)
+# iteration time data
+0 0 1
+131072 0.00625 1
+262144 0.0125 1.00000000000514
+393216 0.01875 1.00000000000509
+524288 0.025 1.00000000000256
+655360 0.03125 1.00000000000226
+786432 0.0375 1.00000000000246
+917504 0.04375 1.00000000000266
+1048576 0.05 1.00000000000374
+1179648 0.05625 1.00000000000407
+1310720 0.0625 1.00000000000396
+1441792 0.06875 1.00000000000405
+1572864 0.075 1.00000000000518
+1703936 0.08125 1.00000000000551
+1835008 0.0875 1.00000000000547
+1966080 0.09375 1.00000000000555
+2097152 0.1 1.00000000000646
diff --git a/Carpet/CarpetInterp/test/waveinterp/phit.norm_inf.asc b/Carpet/CarpetInterp/test/waveinterp/phit.norm_inf.asc
new file mode 100644
index 000000000..358cedfb3
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phit.norm_inf.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phit (phit)
+# iteration time data
+0 0 1
+131072 0.00625 1
+262144 0.0125 1.00000000827039
+393216 0.01875 1.00000000787054
+524288 0.025 1.00000000721878
+655360 0.03125 1.0000000063627
+786432 0.0375 1.00000000530544
+917504 0.04375 1.00000000415662
+1048576 0.05 1.00000000341211
+1179648 0.05625 1.00000000326784
+1310720 0.0625 1.00000000343891
+1441792 0.06875 1.00000000394363
+1572864 0.075 1.00000000436563
+1703936 0.08125 1.00000000467698
+1835008 0.0875 1.00000000485431
+1966080 0.09375 1.00000000488022
+2097152 0.1 1.00000000474456
diff --git a/Carpet/CarpetInterp/test/waveinterp/phit.sum.asc b/Carpet/CarpetInterp/test/waveinterp/phit.sum.asc
new file mode 100644
index 000000000..f08ab6500
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phit.sum.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phit (phit)
+# iteration time data
+0 0 8000
+131072 0.00625 8000
+262144 0.0125 8000.00000004109
+393216 0.01875 8000.0000000407
+524288 0.025 8000.00000002048
+655360 0.03125 8000.00000001825
+786432 0.0375 8000.0000000197
+917504 0.04375 8000.0000000214
+1048576 0.05 8000.00000003019
+1179648 0.05625 8000.00000003271
+1310720 0.0625 8000.00000003126
+1441792 0.06875 8000.00000003261
+1572864 0.075 8000.00000004164
+1703936 0.08125 8000.00000004442
+1835008 0.0875 8000.00000004379
+1966080 0.09375 8000.00000004438
+2097152 0.1 8000.0000000516
diff --git a/Carpet/CarpetInterp/test/waveinterp/phit.x.asc b/Carpet/CarpetInterp/test/waveinterp/phit.x.asc
new file mode 100644
index 000000000..8d73a3c09
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phit.x.asc
@@ -0,0 +1,808 @@
+# WAVEMOL::phit x (phit)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 5242880 5242880 0 -1 0 0 1
+0 0 0 0 0 524288 5242880 5242880 0 -0.9 0 0 1
+0 0 0 0 0 1048576 5242880 5242880 0 -0.8 0 0 1
+0 0 0 0 0 1572864 5242880 5242880 0 -0.7 0 0 1
+0 0 0 0 0 2097152 5242880 5242880 0 -0.6 0 0 1
+0 0 0 0 0 2621440 5242880 5242880 0 -0.5 0 0 1
+0 0 0 0 0 3145728 5242880 5242880 0 -0.4 0 0 1
+0 0 0 0 0 3670016 5242880 5242880 0 -0.3 0 0 1
+0 0 0 0 0 4194304 5242880 5242880 0 -0.2 0 0 1
+0 0 0 0 0 4718592 5242880 5242880 0 -0.1 0 0 1
+0 0 0 0 0 5242880 5242880 5242880 0 0 0 0 1
+0 0 0 0 0 5767168 5242880 5242880 0 0.1 0 0 1
+0 0 0 0 0 6291456 5242880 5242880 0 0.2 0 0 1
+0 0 0 0 0 6815744 5242880 5242880 0 0.3 0 0 1
+0 0 0 0 0 7340032 5242880 5242880 0 0.4 0 0 1
+0 0 0 0 0 7864320 5242880 5242880 0 0.5 0 0 1
+0 0 0 0 0 8388608 5242880 5242880 0 0.6 0 0 1
+0 0 0 0 0 8912896 5242880 5242880 0 0.7 0 0 1
+0 0 0 0 0 9437184 5242880 5242880 0 0.8 0 0 1
+0 0 0 0 0 9961472 5242880 5242880 0 0.9 0 0 1
+0 0 0 0 0 10485760 5242880 5242880 0 1 0 0 1
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 2621440 5242880 5242880 0 -0.5 0 0 1
+0 0 1 0 0 2883584 5242880 5242880 0 -0.45 0 0 1
+0 0 1 0 0 3145728 5242880 5242880 0 -0.4 0 0 1
+0 0 1 0 0 3407872 5242880 5242880 0 -0.35 0 0 1
+0 0 1 0 0 3670016 5242880 5242880 0 -0.3 0 0 1
+0 0 1 0 0 3932160 5242880 5242880 0 -0.25 0 0 1
+0 0 1 0 0 4194304 5242880 5242880 0 -0.2 0 0 1
+0 0 1 0 0 4456448 5242880 5242880 0 -0.15 0 0 1
+0 0 1 0 0 4718592 5242880 5242880 0 -0.1 0 0 1
+0 0 1 0 0 4980736 5242880 5242880 0 -0.05 0 0 1
+0 0 1 0 0 5242880 5242880 5242880 0 0 0 0 1
+0 0 1 0 0 5505024 5242880 5242880 0 0.05 0 0 1
+0 0 1 0 0 5767168 5242880 5242880 0 0.1 0 0 1
+0 0 1 0 0 6029312 5242880 5242880 0 0.15 0 0 1
+0 0 1 0 0 6291456 5242880 5242880 0 0.2 0 0 1
+0 0 1 0 0 6553600 5242880 5242880 0 0.25 0 0 1
+0 0 1 0 0 6815744 5242880 5242880 0 0.3 0 0 1
+0 0 1 0 0 7077888 5242880 5242880 0 0.35 0 0 1
+0 0 1 0 0 7340032 5242880 5242880 0 0.4 0 0 1
+0 0 1 0 0 7602176 5242880 5242880 0 0.45 0 0 1
+0 0 1 0 0 7864320 5242880 5242880 0 0.5 0 0 1
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 3932160 5242880 5242880 0 -0.25 0 0 1
+0 0 2 0 0 4063232 5242880 5242880 0 -0.225 0 0 1
+0 0 2 0 0 4194304 5242880 5242880 0 -0.2 0 0 1
+0 0 2 0 0 4325376 5242880 5242880 0 -0.175 0 0 1
+0 0 2 0 0 4456448 5242880 5242880 0 -0.15 0 0 1
+0 0 2 0 0 4587520 5242880 5242880 0 -0.125 0 0 1
+0 0 2 0 0 4718592 5242880 5242880 0 -0.1 0 0 1
+0 0 2 0 0 4849664 5242880 5242880 0 -0.075 0 0 1
+0 0 2 0 0 4980736 5242880 5242880 0 -0.05 0 0 1
+0 0 2 0 0 5111808 5242880 5242880 0 -0.025 0 0 1
+0 0 2 0 0 5242880 5242880 5242880 0 0 0 0 1
+0 0 2 0 0 5373952 5242880 5242880 0 0.025 0 0 1
+0 0 2 0 0 5505024 5242880 5242880 0 0.05 0 0 1
+0 0 2 0 0 5636096 5242880 5242880 0 0.075 0 0 1
+0 0 2 0 0 5767168 5242880 5242880 0 0.1 0 0 1
+0 0 2 0 0 5898240 5242880 5242880 0 0.125 0 0 1
+0 0 2 0 0 6029312 5242880 5242880 0 0.15 0 0 1
+0 0 2 0 0 6160384 5242880 5242880 0 0.175 0 0 1
+0 0 2 0 0 6291456 5242880 5242880 0 0.2 0 0 1
+0 0 2 0 0 6422528 5242880 5242880 0 0.225 0 0 1
+0 0 2 0 0 6553600 5242880 5242880 0 0.25 0 0 1
+
+
+# iteration 131072
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 2 0 0 3932160 5242880 5242880 0.00625 -0.25 0 0 1
+131072 0 2 0 0 4063232 5242880 5242880 0.00625 -0.225 0 0 1
+131072 0 2 0 0 4194304 5242880 5242880 0.00625 -0.2 0 0 1
+131072 0 2 0 0 4325376 5242880 5242880 0.00625 -0.175 0 0 1
+131072 0 2 0 0 4456448 5242880 5242880 0.00625 -0.15 0 0 1
+131072 0 2 0 0 4587520 5242880 5242880 0.00625 -0.125 0 0 1
+131072 0 2 0 0 4718592 5242880 5242880 0.00625 -0.1 0 0 1
+131072 0 2 0 0 4849664 5242880 5242880 0.00625 -0.075 0 0 1
+131072 0 2 0 0 4980736 5242880 5242880 0.00625 -0.05 0 0 1
+131072 0 2 0 0 5111808 5242880 5242880 0.00625 -0.025 0 0 1
+131072 0 2 0 0 5242880 5242880 5242880 0.00625 0 0 0 1
+131072 0 2 0 0 5373952 5242880 5242880 0.00625 0.025 0 0 1
+131072 0 2 0 0 5505024 5242880 5242880 0.00625 0.05 0 0 1
+131072 0 2 0 0 5636096 5242880 5242880 0.00625 0.075 0 0 1
+131072 0 2 0 0 5767168 5242880 5242880 0.00625 0.1 0 0 1
+131072 0 2 0 0 5898240 5242880 5242880 0.00625 0.125 0 0 1
+131072 0 2 0 0 6029312 5242880 5242880 0.00625 0.15 0 0 1
+131072 0 2 0 0 6160384 5242880 5242880 0.00625 0.175 0 0 1
+131072 0 2 0 0 6291456 5242880 5242880 0.00625 0.2 0 0 1
+131072 0 2 0 0 6422528 5242880 5242880 0.00625 0.225 0 0 1
+131072 0 2 0 0 6553600 5242880 5242880 0.00625 0.25 0 0 1
+
+
+# iteration 262144
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 1 0 0 2621440 5242880 5242880 0.0125 -0.5 0 0 1
+262144 0 1 0 0 2883584 5242880 5242880 0.0125 -0.45 0 0 1
+262144 0 1 0 0 3145728 5242880 5242880 0.0125 -0.4 0 0 1
+262144 0 1 0 0 3407872 5242880 5242880 0.0125 -0.35 0 0 1
+262144 0 1 0 0 3670016 5242880 5242880 0.0125 -0.3 0 0 1
+262144 0 1 0 0 3932160 5242880 5242880 0.0125 -0.25 0 0 1
+262144 0 1 0 0 4194304 5242880 5242880 0.0125 -0.2 0 0 1
+262144 0 1 0 0 4456448 5242880 5242880 0.0125 -0.15 0 0 1
+262144 0 1 0 0 4718592 5242880 5242880 0.0125 -0.1 0 0 1.00000000277135
+262144 0 1 0 0 4980736 5242880 5242880 0.0125 -0.05 0 0 1.00000000000728
+262144 0 1 0 0 5242880 5242880 5242880 0.0125 0 0 0 1
+262144 0 1 0 0 5505024 5242880 5242880 0.0125 0.05 0 0 1.00000000000728
+262144 0 1 0 0 5767168 5242880 5242880 0.0125 0.1 0 0 1.00000000277135
+262144 0 1 0 0 6029312 5242880 5242880 0.0125 0.15 0 0 1
+262144 0 1 0 0 6291456 5242880 5242880 0.0125 0.2 0 0 1
+262144 0 1 0 0 6553600 5242880 5242880 0.0125 0.25 0 0 1
+262144 0 1 0 0 6815744 5242880 5242880 0.0125 0.3 0 0 1
+262144 0 1 0 0 7077888 5242880 5242880 0.0125 0.35 0 0 1
+262144 0 1 0 0 7340032 5242880 5242880 0.0125 0.4 0 0 1
+262144 0 1 0 0 7602176 5242880 5242880 0.0125 0.45 0 0 1
+262144 0 1 0 0 7864320 5242880 5242880 0.0125 0.5 0 0 1
+
+
+# iteration 262144
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 2 0 0 3932160 5242880 5242880 0.0125 -0.25 0 0 1
+262144 0 2 0 0 4063232 5242880 5242880 0.0125 -0.225 0 0 1
+262144 0 2 0 0 4194304 5242880 5242880 0.0125 -0.2 0 0 1
+262144 0 2 0 0 4325376 5242880 5242880 0.0125 -0.175 0 0 0.999999999826791
+262144 0 2 0 0 4456448 5242880 5242880 0.0125 -0.15 0 0 1
+262144 0 2 0 0 4587520 5242880 5242880 0.0125 -0.125 0 0 1.00000000155843
+262144 0 2 0 0 4718592 5242880 5242880 0.0125 -0.1 0 0 1.00000000277135
+262144 0 2 0 0 4849664 5242880 5242880 0.0125 -0.075 0 0 0.999999999998383
+262144 0 2 0 0 4980736 5242880 5242880 0.0125 -0.05 0 0 1.00000000000728
+262144 0 2 0 0 5111808 5242880 5242880 0.0125 -0.025 0 0 1
+262144 0 2 0 0 5242880 5242880 5242880 0.0125 0 0 0 1
+262144 0 2 0 0 5373952 5242880 5242880 0.0125 0.025 0 0 1
+262144 0 2 0 0 5505024 5242880 5242880 0.0125 0.05 0 0 1.00000000000728
+262144 0 2 0 0 5636096 5242880 5242880 0.0125 0.075 0 0 0.999999999998383
+262144 0 2 0 0 5767168 5242880 5242880 0.0125 0.1 0 0 1.00000000277135
+262144 0 2 0 0 5898240 5242880 5242880 0.0125 0.125 0 0 1.00000000155843
+262144 0 2 0 0 6029312 5242880 5242880 0.0125 0.15 0 0 1
+262144 0 2 0 0 6160384 5242880 5242880 0.0125 0.175 0 0 0.999999999826791
+262144 0 2 0 0 6291456 5242880 5242880 0.0125 0.2 0 0 1
+262144 0 2 0 0 6422528 5242880 5242880 0.0125 0.225 0 0 1
+262144 0 2 0 0 6553600 5242880 5242880 0.0125 0.25 0 0 1
+
+
+# iteration 393216
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 2 0 0 3932160 5242880 5242880 0.01875 -0.25 0 0 1
+393216 0 2 0 0 4063232 5242880 5242880 0.01875 -0.225 0 0 0.999999999945108
+393216 0 2 0 0 4194304 5242880 5242880 0.01875 -0.2 0 0 0.999999999902543
+393216 0 2 0 0 4325376 5242880 5242880 0.01875 -0.175 0 0 0.99999999974986
+393216 0 2 0 0 4456448 5242880 5242880 0.01875 -0.15 0 0 1.00000000000116
+393216 0 2 0 0 4587520 5242880 5242880 0.01875 -0.125 0 0 1.00000000176809
+393216 0 2 0 0 4718592 5242880 5242880 0.01875 -0.1 0 0 1.00000000270433
+393216 0 2 0 0 4849664 5242880 5242880 0.01875 -0.075 0 0 1.00000000000657
+393216 0 2 0 0 4980736 5242880 5242880 0.01875 -0.05 0 0 1.00000000005092
+393216 0 2 0 0 5111808 5242880 5242880 0.01875 -0.025 0 0 1.00000000000043
+393216 0 2 0 0 5242880 5242880 5242880 0.01875 0 0 0 1.00000000000068
+393216 0 2 0 0 5373952 5242880 5242880 0.01875 0.025 0 0 1.00000000000043
+393216 0 2 0 0 5505024 5242880 5242880 0.01875 0.05 0 0 1.00000000005092
+393216 0 2 0 0 5636096 5242880 5242880 0.01875 0.075 0 0 1.00000000000657
+393216 0 2 0 0 5767168 5242880 5242880 0.01875 0.1 0 0 1.00000000270433
+393216 0 2 0 0 5898240 5242880 5242880 0.01875 0.125 0 0 1.00000000176809
+393216 0 2 0 0 6029312 5242880 5242880 0.01875 0.15 0 0 1.00000000000116
+393216 0 2 0 0 6160384 5242880 5242880 0.01875 0.175 0 0 0.99999999974986
+393216 0 2 0 0 6291456 5242880 5242880 0.01875 0.2 0 0 0.999999999902543
+393216 0 2 0 0 6422528 5242880 5242880 0.01875 0.225 0 0 0.999999999945108
+393216 0 2 0 0 6553600 5242880 5242880 0.01875 0.25 0 0 1
+
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 0 5242880 5242880 0.025 -1 0 0 1
+524288 0 0 0 0 524288 5242880 5242880 0.025 -0.9 0 0 1
+524288 0 0 0 0 1048576 5242880 5242880 0.025 -0.8 0 0 1
+524288 0 0 0 0 1572864 5242880 5242880 0.025 -0.7 0 0 1
+524288 0 0 0 0 2097152 5242880 5242880 0.025 -0.6 0 0 1
+524288 0 0 0 0 2621440 5242880 5242880 0.025 -0.5 0 0 1
+524288 0 0 0 0 3145728 5242880 5242880 0.025 -0.4 0 0 1
+524288 0 0 0 0 3670016 5242880 5242880 0.025 -0.3 0 0 1
+524288 0 0 0 0 4194304 5242880 5242880 0.025 -0.2 0 0 0.999999999740114
+524288 0 0 0 0 4718592 5242880 5242880 0.025 -0.1 0 0 1.00000000258949
+524288 0 0 0 0 5242880 5242880 5242880 0.025 0 0 0 1.0000000000064
+524288 0 0 0 0 5767168 5242880 5242880 0.025 0.1 0 0 1.00000000258949
+524288 0 0 0 0 6291456 5242880 5242880 0.025 0.2 0 0 0.999999999740114
+524288 0 0 0 0 6815744 5242880 5242880 0.025 0.3 0 0 1
+524288 0 0 0 0 7340032 5242880 5242880 0.025 0.4 0 0 1
+524288 0 0 0 0 7864320 5242880 5242880 0.025 0.5 0 0 1
+524288 0 0 0 0 8388608 5242880 5242880 0.025 0.6 0 0 1
+524288 0 0 0 0 8912896 5242880 5242880 0.025 0.7 0 0 1
+524288 0 0 0 0 9437184 5242880 5242880 0.025 0.8 0 0 1
+524288 0 0 0 0 9961472 5242880 5242880 0.025 0.9 0 0 1
+524288 0 0 0 0 10485760 5242880 5242880 0.025 1 0 0 1
+
+
+# iteration 524288
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 1 0 0 2621440 5242880 5242880 0.025 -0.5 0 0 1
+524288 0 1 0 0 2883584 5242880 5242880 0.025 -0.45 0 0 1
+524288 0 1 0 0 3145728 5242880 5242880 0.025 -0.4 0 0 1
+524288 0 1 0 0 3407872 5242880 5242880 0.025 -0.35 0 0 1.00000000001624
+524288 0 1 0 0 3670016 5242880 5242880 0.025 -0.3 0 0 1
+524288 0 1 0 0 3932160 5242880 5242880 0.025 -0.25 0 0 0.999999999691971
+524288 0 1 0 0 4194304 5242880 5242880 0.025 -0.2 0 0 0.999999999740114
+524288 0 1 0 0 4456448 5242880 5242880 0.025 -0.15 0 0 1.0000000000031
+524288 0 1 0 0 4718592 5242880 5242880 0.025 -0.1 0 0 1.00000000258949
+524288 0 1 0 0 4980736 5242880 5242880 0.025 -0.05 0 0 1.00000000013846
+524288 0 1 0 0 5242880 5242880 5242880 0.025 0 0 0 1.0000000000064
+524288 0 1 0 0 5505024 5242880 5242880 0.025 0.05 0 0 1.00000000013846
+524288 0 1 0 0 5767168 5242880 5242880 0.025 0.1 0 0 1.00000000258949
+524288 0 1 0 0 6029312 5242880 5242880 0.025 0.15 0 0 1.0000000000031
+524288 0 1 0 0 6291456 5242880 5242880 0.025 0.2 0 0 0.999999999740114
+524288 0 1 0 0 6553600 5242880 5242880 0.025 0.25 0 0 0.999999999691971
+524288 0 1 0 0 6815744 5242880 5242880 0.025 0.3 0 0 1
+524288 0 1 0 0 7077888 5242880 5242880 0.025 0.35 0 0 1.00000000001624
+524288 0 1 0 0 7340032 5242880 5242880 0.025 0.4 0 0 1
+524288 0 1 0 0 7602176 5242880 5242880 0.025 0.45 0 0 1
+524288 0 1 0 0 7864320 5242880 5242880 0.025 0.5 0 0 1
+
+
+# iteration 524288
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 2 0 0 3932160 5242880 5242880 0.025 -0.25 0 0 0.999999999691971
+524288 0 2 0 0 4063232 5242880 5242880 0.025 -0.225 0 0 0.999999999680354
+524288 0 2 0 0 4194304 5242880 5242880 0.025 -0.2 0 0 0.999999999740114
+524288 0 2 0 0 4325376 5242880 5242880 0.025 -0.175 0 0 0.999999999712965
+524288 0 2 0 0 4456448 5242880 5242880 0.025 -0.15 0 0 1.0000000000031
+524288 0 2 0 0 4587520 5242880 5242880 0.025 -0.125 0 0 1.00000000146592
+524288 0 2 0 0 4718592 5242880 5242880 0.025 -0.1 0 0 1.00000000258949
+524288 0 2 0 0 4849664 5242880 5242880 0.025 -0.075 0 0 1.00000000004511
+524288 0 2 0 0 4980736 5242880 5242880 0.025 -0.05 0 0 1.00000000013846
+524288 0 2 0 0 5111808 5242880 5242880 0.025 -0.025 0 0 1.00000000000435
+524288 0 2 0 0 5242880 5242880 5242880 0.025 0 0 0 1.0000000000064
+524288 0 2 0 0 5373952 5242880 5242880 0.025 0.025 0 0 1.00000000000435
+524288 0 2 0 0 5505024 5242880 5242880 0.025 0.05 0 0 1.00000000013846
+524288 0 2 0 0 5636096 5242880 5242880 0.025 0.075 0 0 1.00000000004511
+524288 0 2 0 0 5767168 5242880 5242880 0.025 0.1 0 0 1.00000000258949
+524288 0 2 0 0 5898240 5242880 5242880 0.025 0.125 0 0 1.00000000146592
+524288 0 2 0 0 6029312 5242880 5242880 0.025 0.15 0 0 1.0000000000031
+524288 0 2 0 0 6160384 5242880 5242880 0.025 0.175 0 0 0.999999999712965
+524288 0 2 0 0 6291456 5242880 5242880 0.025 0.2 0 0 0.999999999740114
+524288 0 2 0 0 6422528 5242880 5242880 0.025 0.225 0 0 0.999999999680354
+524288 0 2 0 0 6553600 5242880 5242880 0.025 0.25 0 0 0.999999999691971
+
+
+# iteration 655360
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 2 0 0 3932160 5242880 5242880 0.03125 -0.25 0 0 0.999999999640443
+655360 0 2 0 0 4063232 5242880 5242880 0.03125 -0.225 0 0 0.999999999647753
+655360 0 2 0 0 4194304 5242880 5242880 0.03125 -0.2 0 0 0.999999999732034
+655360 0 2 0 0 4325376 5242880 5242880 0.03125 -0.175 0 0 0.999999999702523
+655360 0 2 0 0 4456448 5242880 5242880 0.03125 -0.15 0 0 0.999999999984606
+655360 0 2 0 0 4587520 5242880 5242880 0.03125 -0.125 0 0 1.00000000144041
+655360 0 2 0 0 4718592 5242880 5242880 0.03125 -0.1 0 0 1.00000000246101
+655360 0 2 0 0 4849664 5242880 5242880 0.03125 -0.075 0 0 1.00000000011784
+655360 0 2 0 0 4980736 5242880 5242880 0.03125 -0.05 0 0 1.00000000027064
+655360 0 2 0 0 5111808 5242880 5242880 0.03125 -0.025 0 0 1.00000000001744
+655360 0 2 0 0 5242880 5242880 5242880 0.03125 0 0 0 1.00000000002479
+655360 0 2 0 0 5373952 5242880 5242880 0.03125 0.025 0 0 1.00000000001744
+655360 0 2 0 0 5505024 5242880 5242880 0.03125 0.05 0 0 1.00000000027064
+655360 0 2 0 0 5636096 5242880 5242880 0.03125 0.075 0 0 1.00000000011784
+655360 0 2 0 0 5767168 5242880 5242880 0.03125 0.1 0 0 1.00000000246101
+655360 0 2 0 0 5898240 5242880 5242880 0.03125 0.125 0 0 1.00000000144041
+655360 0 2 0 0 6029312 5242880 5242880 0.03125 0.15 0 0 0.999999999984606
+655360 0 2 0 0 6160384 5242880 5242880 0.03125 0.175 0 0 0.999999999702523
+655360 0 2 0 0 6291456 5242880 5242880 0.03125 0.2 0 0 0.999999999732034
+655360 0 2 0 0 6422528 5242880 5242880 0.03125 0.225 0 0 0.999999999647753
+655360 0 2 0 0 6553600 5242880 5242880 0.03125 0.25 0 0 0.999999999640443
+
+
+# iteration 786432
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 1 0 0 2621440 5242880 5242880 0.0375 -0.5 0 0 1.00000000000001
+786432 0 1 0 0 2883584 5242880 5242880 0.0375 -0.45 0 0 0.999999999998945
+786432 0 1 0 0 3145728 5242880 5242880 0.0375 -0.4 0 0 0.999999999999198
+786432 0 1 0 0 3407872 5242880 5242880 0.0375 -0.35 0 0 1.00000000002395
+786432 0 1 0 0 3670016 5242880 5242880 0.0375 -0.3 0 0 1.00000000000972
+786432 0 1 0 0 3932160 5242880 5242880 0.0375 -0.25 0 0 0.99999999965724
+786432 0 1 0 0 4194304 5242880 5242880 0.0375 -0.2 0 0 0.999999999805198
+786432 0 1 0 0 4456448 5242880 5242880 0.0375 -0.15 0 0 0.999999999952753
+786432 0 1 0 0 4718592 5242880 5242880 0.0375 -0.1 0 0 1.00000000230525
+786432 0 1 0 0 4980736 5242880 5242880 0.0375 -0.05 0 0 1.00000000044868
+786432 0 1 0 0 5242880 5242880 5242880 0.0375 0 0 0 1.00000000006647
+786432 0 1 0 0 5505024 5242880 5242880 0.0375 0.05 0 0 1.00000000044868
+786432 0 1 0 0 5767168 5242880 5242880 0.0375 0.1 0 0 1.00000000230525
+786432 0 1 0 0 6029312 5242880 5242880 0.0375 0.15 0 0 0.999999999952753
+786432 0 1 0 0 6291456 5242880 5242880 0.0375 0.2 0 0 0.999999999805198
+786432 0 1 0 0 6553600 5242880 5242880 0.0375 0.25 0 0 0.99999999965724
+786432 0 1 0 0 6815744 5242880 5242880 0.0375 0.3 0 0 1.00000000000972
+786432 0 1 0 0 7077888 5242880 5242880 0.0375 0.35 0 0 1.00000000002395
+786432 0 1 0 0 7340032 5242880 5242880 0.0375 0.4 0 0 0.999999999999198
+786432 0 1 0 0 7602176 5242880 5242880 0.0375 0.45 0 0 0.999999999998945
+786432 0 1 0 0 7864320 5242880 5242880 0.0375 0.5 0 0 1.00000000000001
+
+
+# iteration 786432
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 2 0 0 3932160 5242880 5242880 0.0375 -0.25 0 0 0.99999999965724
+786432 0 2 0 0 4063232 5242880 5242880 0.0375 -0.225 0 0 0.999999999699967
+786432 0 2 0 0 4194304 5242880 5242880 0.0375 -0.2 0 0 0.999999999805198
+786432 0 2 0 0 4325376 5242880 5242880 0.0375 -0.175 0 0 0.999999999741191
+786432 0 2 0 0 4456448 5242880 5242880 0.0375 -0.15 0 0 0.999999999952753
+786432 0 2 0 0 4587520 5242880 5242880 0.0375 -0.125 0 0 1.00000000125426
+786432 0 2 0 0 4718592 5242880 5242880 0.0375 -0.1 0 0 1.00000000230525
+786432 0 2 0 0 4849664 5242880 5242880 0.0375 -0.075 0 0 1.00000000022745
+786432 0 2 0 0 4980736 5242880 5242880 0.0375 -0.05 0 0 1.00000000044868
+786432 0 2 0 0 5111808 5242880 5242880 0.0375 -0.025 0 0 1.00000000004778
+786432 0 2 0 0 5242880 5242880 5242880 0.0375 0 0 0 1.00000000006647
+786432 0 2 0 0 5373952 5242880 5242880 0.0375 0.025 0 0 1.00000000004778
+786432 0 2 0 0 5505024 5242880 5242880 0.0375 0.05 0 0 1.00000000044868
+786432 0 2 0 0 5636096 5242880 5242880 0.0375 0.075 0 0 1.00000000022745
+786432 0 2 0 0 5767168 5242880 5242880 0.0375 0.1 0 0 1.00000000230525
+786432 0 2 0 0 5898240 5242880 5242880 0.0375 0.125 0 0 1.00000000125426
+786432 0 2 0 0 6029312 5242880 5242880 0.0375 0.15 0 0 0.999999999952753
+786432 0 2 0 0 6160384 5242880 5242880 0.0375 0.175 0 0 0.999999999741191
+786432 0 2 0 0 6291456 5242880 5242880 0.0375 0.2 0 0 0.999999999805198
+786432 0 2 0 0 6422528 5242880 5242880 0.0375 0.225 0 0 0.999999999699967
+786432 0 2 0 0 6553600 5242880 5242880 0.0375 0.25 0 0 0.99999999965724
+
+
+# iteration 917504
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 2 0 0 3932160 5242880 5242880 0.04375 -0.25 0 0 0.999999999669696
+917504 0 2 0 0 4063232 5242880 5242880 0.04375 -0.225 0 0 0.999999999735269
+917504 0 2 0 0 4194304 5242880 5242880 0.04375 -0.2 0 0 0.999999999852133
+917504 0 2 0 0 4325376 5242880 5242880 0.04375 -0.175 0 0 0.999999999749234
+917504 0 2 0 0 4456448 5242880 5242880 0.04375 -0.15 0 0 0.999999999915148
+917504 0 2 0 0 4587520 5242880 5242880 0.04375 -0.125 0 0 1.00000000119155
+917504 0 2 0 0 4718592 5242880 5242880 0.04375 -0.1 0 0 1.0000000021537
+917504 0 2 0 0 4849664 5242880 5242880 0.04375 -0.075 0 0 1.00000000037762
+917504 0 2 0 0 4980736 5242880 5242880 0.04375 -0.05 0 0 1.00000000067385
+917504 0 2 0 0 5111808 5242880 5242880 0.04375 -0.025 0 0 1.00000000010524
+917504 0 2 0 0 5242880 5242880 5242880 0.04375 0 0 0 1.00000000014416
+917504 0 2 0 0 5373952 5242880 5242880 0.04375 0.025 0 0 1.00000000010524
+917504 0 2 0 0 5505024 5242880 5242880 0.04375 0.05 0 0 1.00000000067385
+917504 0 2 0 0 5636096 5242880 5242880 0.04375 0.075 0 0 1.00000000037762
+917504 0 2 0 0 5767168 5242880 5242880 0.04375 0.1 0 0 1.0000000021537
+917504 0 2 0 0 5898240 5242880 5242880 0.04375 0.125 0 0 1.00000000119155
+917504 0 2 0 0 6029312 5242880 5242880 0.04375 0.15 0 0 0.999999999915148
+917504 0 2 0 0 6160384 5242880 5242880 0.04375 0.175 0 0 0.999999999749234
+917504 0 2 0 0 6291456 5242880 5242880 0.04375 0.2 0 0 0.999999999852133
+917504 0 2 0 0 6422528 5242880 5242880 0.04375 0.225 0 0 0.999999999735269
+917504 0 2 0 0 6553600 5242880 5242880 0.04375 0.25 0 0 0.999999999669696
+
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 0 5242880 5242880 0.05 -1 0 0 1
+1048576 0 0 0 0 524288 5242880 5242880 0.05 -0.9 0 0 1
+1048576 0 0 0 0 1048576 5242880 5242880 0.05 -0.8 0 0 1
+1048576 0 0 0 0 1572864 5242880 5242880 0.05 -0.7 0 0 1
+1048576 0 0 0 0 2097152 5242880 5242880 0.05 -0.6 0 0 1
+1048576 0 0 0 0 2621440 5242880 5242880 0.05 -0.5 0 0 1.00000000000002
+1048576 0 0 0 0 3145728 5242880 5242880 0.05 -0.4 0 0 0.99999999999786
+1048576 0 0 0 0 3670016 5242880 5242880 0.05 -0.3 0 0 1.00000000002592
+1048576 0 0 0 0 4194304 5242880 5242880 0.05 -0.2 0 0 0.999999999908662
+1048576 0 0 0 0 4718592 5242880 5242880 0.05 -0.1 0 0 1.00000000200092
+1048576 0 0 0 0 5242880 5242880 5242880 0.05 0 0 0 1.00000000027159
+1048576 0 0 0 0 5767168 5242880 5242880 0.05 0.1 0 0 1.00000000200092
+1048576 0 0 0 0 6291456 5242880 5242880 0.05 0.2 0 0 0.999999999908662
+1048576 0 0 0 0 6815744 5242880 5242880 0.05 0.3 0 0 1.00000000002592
+1048576 0 0 0 0 7340032 5242880 5242880 0.05 0.4 0 0 0.99999999999786
+1048576 0 0 0 0 7864320 5242880 5242880 0.05 0.5 0 0 1.00000000000002
+1048576 0 0 0 0 8388608 5242880 5242880 0.05 0.6 0 0 1
+1048576 0 0 0 0 8912896 5242880 5242880 0.05 0.7 0 0 1
+1048576 0 0 0 0 9437184 5242880 5242880 0.05 0.8 0 0 1
+1048576 0 0 0 0 9961472 5242880 5242880 0.05 0.9 0 0 1
+1048576 0 0 0 0 10485760 5242880 5242880 0.05 1 0 0 1
+
+
+# iteration 1048576
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 1 0 0 2621440 5242880 5242880 0.05 -0.5 0 0 1.00000000000002
+1048576 0 1 0 0 2883584 5242880 5242880 0.05 -0.45 0 0 0.999999999997185
+1048576 0 1 0 0 3145728 5242880 5242880 0.05 -0.4 0 0 0.99999999999786
+1048576 0 1 0 0 3407872 5242880 5242880 0.05 -0.35 0 0 1.00000000001908
+1048576 0 1 0 0 3670016 5242880 5242880 0.05 -0.3 0 0 1.00000000002592
+1048576 0 1 0 0 3932160 5242880 5242880 0.05 -0.25 0 0 0.999999999838278
+1048576 0 1 0 0 4194304 5242880 5242880 0.05 -0.2 0 0 0.999999999908662
+1048576 0 1 0 0 4456448 5242880 5242880 0.05 -0.15 0 0 0.999999999869254
+1048576 0 1 0 0 4718592 5242880 5242880 0.05 -0.1 0 0 1.00000000200092
+1048576 0 1 0 0 4980736 5242880 5242880 0.05 -0.05 0 0 1.00000000094713
+1048576 0 1 0 0 5242880 5242880 5242880 0.05 0 0 0 1.00000000027159
+1048576 0 1 0 0 5505024 5242880 5242880 0.05 0.05 0 0 1.00000000094713
+1048576 0 1 0 0 5767168 5242880 5242880 0.05 0.1 0 0 1.00000000200092
+1048576 0 1 0 0 6029312 5242880 5242880 0.05 0.15 0 0 0.999999999869254
+1048576 0 1 0 0 6291456 5242880 5242880 0.05 0.2 0 0 0.999999999908662
+1048576 0 1 0 0 6553600 5242880 5242880 0.05 0.25 0 0 0.999999999838278
+1048576 0 1 0 0 6815744 5242880 5242880 0.05 0.3 0 0 1.00000000002592
+1048576 0 1 0 0 7077888 5242880 5242880 0.05 0.35 0 0 1.00000000001908
+1048576 0 1 0 0 7340032 5242880 5242880 0.05 0.4 0 0 0.99999999999786
+1048576 0 1 0 0 7602176 5242880 5242880 0.05 0.45 0 0 0.999999999997185
+1048576 0 1 0 0 7864320 5242880 5242880 0.05 0.5 0 0 1.00000000000002
+
+
+# iteration 1048576
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 2 0 0 3932160 5242880 5242880 0.05 -0.25 0 0 0.999999999838278
+1048576 0 2 0 0 4063232 5242880 5242880 0.05 -0.225 0 0 0.999999999864206
+1048576 0 2 0 0 4194304 5242880 5242880 0.05 -0.2 0 0 0.999999999908662
+1048576 0 2 0 0 4325376 5242880 5242880 0.05 -0.175 0 0 0.999999999760128
+1048576 0 2 0 0 4456448 5242880 5242880 0.05 -0.15 0 0 0.999999999869254
+1048576 0 2 0 0 4587520 5242880 5242880 0.05 -0.125 0 0 1.00000000099849
+1048576 0 2 0 0 4718592 5242880 5242880 0.05 -0.1 0 0 1.00000000200092
+1048576 0 2 0 0 4849664 5242880 5242880 0.05 -0.075 0 0 1.00000000057078
+1048576 0 2 0 0 4980736 5242880 5242880 0.05 -0.05 0 0 1.00000000094713
+1048576 0 2 0 0 5111808 5242880 5242880 0.05 -0.025 0 0 1.00000000020061
+1048576 0 2 0 0 5242880 5242880 5242880 0.05 0 0 0 1.00000000027159
+1048576 0 2 0 0 5373952 5242880 5242880 0.05 0.025 0 0 1.00000000020061
+1048576 0 2 0 0 5505024 5242880 5242880 0.05 0.05 0 0 1.00000000094713
+1048576 0 2 0 0 5636096 5242880 5242880 0.05 0.075 0 0 1.00000000057078
+1048576 0 2 0 0 5767168 5242880 5242880 0.05 0.1 0 0 1.00000000200092
+1048576 0 2 0 0 5898240 5242880 5242880 0.05 0.125 0 0 1.00000000099849
+1048576 0 2 0 0 6029312 5242880 5242880 0.05 0.15 0 0 0.999999999869254
+1048576 0 2 0 0 6160384 5242880 5242880 0.05 0.175 0 0 0.999999999760128
+1048576 0 2 0 0 6291456 5242880 5242880 0.05 0.2 0 0 0.999999999908662
+1048576 0 2 0 0 6422528 5242880 5242880 0.05 0.225 0 0 0.999999999864206
+1048576 0 2 0 0 6553600 5242880 5242880 0.05 0.25 0 0 0.999999999838278
+
+
+# iteration 1179648
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 2 0 0 3932160 5242880 5242880 0.05625 -0.25 0 0 0.999999999864691
+1179648 0 2 0 0 4063232 5242880 5242880 0.05625 -0.225 0 0 0.999999999920328
+1179648 0 2 0 0 4194304 5242880 5242880 0.05625 -0.2 0 0 0.999999999977901
+1179648 0 2 0 0 4325376 5242880 5242880 0.05625 -0.175 0 0 0.999999999778339
+1179648 0 2 0 0 4456448 5242880 5242880 0.05625 -0.15 0 0 0.999999999825109
+1179648 0 2 0 0 4587520 5242880 5242880 0.05625 -0.125 0 0 1.0000000009088
+1179648 0 2 0 0 4718592 5242880 5242880 0.05625 -0.1 0 0 1.00000000187364
+1179648 0 2 0 0 4849664 5242880 5242880 0.05625 -0.075 0 0 1.00000000080762
+1179648 0 2 0 0 4980736 5242880 5242880 0.05625 -0.05 0 0 1.00000000126869
+1179648 0 2 0 0 5111808 5242880 5242880 0.05625 -0.025 0 0 1.0000000003447
+1179648 0 2 0 0 5242880 5242880 5242880 0.05625 0 0 0 1.00000000046233
+1179648 0 2 0 0 5373952 5242880 5242880 0.05625 0.025 0 0 1.0000000003447
+1179648 0 2 0 0 5505024 5242880 5242880 0.05625 0.05 0 0 1.00000000126869
+1179648 0 2 0 0 5636096 5242880 5242880 0.05625 0.075 0 0 1.00000000080762
+1179648 0 2 0 0 5767168 5242880 5242880 0.05625 0.1 0 0 1.00000000187364
+1179648 0 2 0 0 5898240 5242880 5242880 0.05625 0.125 0 0 1.0000000009088
+1179648 0 2 0 0 6029312 5242880 5242880 0.05625 0.15 0 0 0.999999999825109
+1179648 0 2 0 0 6160384 5242880 5242880 0.05625 0.175 0 0 0.999999999778339
+1179648 0 2 0 0 6291456 5242880 5242880 0.05625 0.2 0 0 0.999999999977901
+1179648 0 2 0 0 6422528 5242880 5242880 0.05625 0.225 0 0 0.999999999920328
+1179648 0 2 0 0 6553600 5242880 5242880 0.05625 0.25 0 0 0.999999999864691
+
+
+# iteration 1310720
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 1 0 0 2621440 5242880 5242880 0.0625 -0.5 0 0 1.00000000000016
+1310720 0 1 0 0 2883584 5242880 5242880 0.0625 -0.45 0 0 0.999999999995216
+1310720 0 1 0 0 3145728 5242880 5242880 0.0625 -0.4 0 0 0.999999999995699
+1310720 0 1 0 0 3407872 5242880 5242880 0.0625 -0.35 0 0 1.00000000002603
+1310720 0 1 0 0 3670016 5242880 5242880 0.0625 -0.3 0 0 1.00000000003931
+1310720 0 1 0 0 3932160 5242880 5242880 0.0625 -0.25 0 0 0.999999999848368
+1310720 0 1 0 0 4194304 5242880 5242880 0.0625 -0.2 0 0 1.00000000005881
+1310720 0 1 0 0 4456448 5242880 5242880 0.0625 -0.15 0 0 0.999999999779366
+1310720 0 1 0 0 4718592 5242880 5242880 0.0625 -0.1 0 0 1.00000000176887
+1310720 0 1 0 0 4980736 5242880 5242880 0.0625 -0.05 0 0 1.00000000163742
+1310720 0 1 0 0 5242880 5242880 5242880 0.0625 0 0 0 1.00000000072855
+1310720 0 1 0 0 5505024 5242880 5242880 0.0625 0.05 0 0 1.00000000163742
+1310720 0 1 0 0 5767168 5242880 5242880 0.0625 0.1 0 0 1.00000000176887
+1310720 0 1 0 0 6029312 5242880 5242880 0.0625 0.15 0 0 0.999999999779366
+1310720 0 1 0 0 6291456 5242880 5242880 0.0625 0.2 0 0 1.00000000005881
+1310720 0 1 0 0 6553600 5242880 5242880 0.0625 0.25 0 0 0.999999999848368
+1310720 0 1 0 0 6815744 5242880 5242880 0.0625 0.3 0 0 1.00000000003931
+1310720 0 1 0 0 7077888 5242880 5242880 0.0625 0.35 0 0 1.00000000002603
+1310720 0 1 0 0 7340032 5242880 5242880 0.0625 0.4 0 0 0.999999999995699
+1310720 0 1 0 0 7602176 5242880 5242880 0.0625 0.45 0 0 0.999999999995216
+1310720 0 1 0 0 7864320 5242880 5242880 0.0625 0.5 0 0 1.00000000000016
+
+
+# iteration 1310720
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 2 0 0 3932160 5242880 5242880 0.0625 -0.25 0 0 0.999999999848368
+1310720 0 2 0 0 4063232 5242880 5242880 0.0625 -0.225 0 0 0.99999999995912
+1310720 0 2 0 0 4194304 5242880 5242880 0.0625 -0.2 0 0 1.00000000005881
+1310720 0 2 0 0 4325376 5242880 5242880 0.0625 -0.175 0 0 0.999999999807897
+1310720 0 2 0 0 4456448 5242880 5242880 0.0625 -0.15 0 0 0.999999999779366
+1310720 0 2 0 0 4587520 5242880 5242880 0.0625 -0.125 0 0 1.00000000076487
+1310720 0 2 0 0 4718592 5242880 5242880 0.0625 -0.1 0 0 1.00000000176887
+1310720 0 2 0 0 4849664 5242880 5242880 0.0625 -0.075 0 0 1.00000000108602
+1310720 0 2 0 0 4980736 5242880 5242880 0.0625 -0.05 0 0 1.00000000163742
+1310720 0 2 0 0 5111808 5242880 5242880 0.0625 -0.025 0 0 1.00000000054727
+1310720 0 2 0 0 5242880 5242880 5242880 0.0625 0 0 0 1.00000000072855
+1310720 0 2 0 0 5373952 5242880 5242880 0.0625 0.025 0 0 1.00000000054727
+1310720 0 2 0 0 5505024 5242880 5242880 0.0625 0.05 0 0 1.00000000163742
+1310720 0 2 0 0 5636096 5242880 5242880 0.0625 0.075 0 0 1.00000000108602
+1310720 0 2 0 0 5767168 5242880 5242880 0.0625 0.1 0 0 1.00000000176887
+1310720 0 2 0 0 5898240 5242880 5242880 0.0625 0.125 0 0 1.00000000076487
+1310720 0 2 0 0 6029312 5242880 5242880 0.0625 0.15 0 0 0.999999999779366
+1310720 0 2 0 0 6160384 5242880 5242880 0.0625 0.175 0 0 0.999999999807897
+1310720 0 2 0 0 6291456 5242880 5242880 0.0625 0.2 0 0 1.00000000005881
+1310720 0 2 0 0 6422528 5242880 5242880 0.0625 0.225 0 0 0.99999999995912
+1310720 0 2 0 0 6553600 5242880 5242880 0.0625 0.25 0 0 0.999999999848368
+
+
+# iteration 1441792
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 2 0 0 3932160 5242880 5242880 0.06875 -0.25 0 0 0.999999999837646
+1441792 0 2 0 0 4063232 5242880 5242880 0.06875 -0.225 0 0 1.00000000000483
+1441792 0 2 0 0 4194304 5242880 5242880 0.06875 -0.2 0 0 1.00000000014767
+1441792 0 2 0 0 4325376 5242880 5242880 0.06875 -0.175 0 0 0.999999999846531
+1441792 0 2 0 0 4456448 5242880 5242880 0.06875 -0.15 0 0 0.999999999744461
+1441792 0 2 0 0 4587520 5242880 5242880 0.06875 -0.125 0 0 1.00000000066039
+1441792 0 2 0 0 4718592 5242880 5242880 0.06875 -0.1 0 0 1.00000000170236
+1441792 0 2 0 0 4849664 5242880 5242880 0.06875 -0.075 0 0 1.00000000140117
+1441792 0 2 0 0 4980736 5242880 5242880 0.06875 -0.05 0 0 1.00000000205035
+1441792 0 2 0 0 5111808 5242880 5242880 0.06875 -0.025 0 0 1.00000000081595
+1441792 0 2 0 0 5242880 5242880 5242880 0.06875 0 0 0 1.00000000107976
+1441792 0 2 0 0 5373952 5242880 5242880 0.06875 0.025 0 0 1.00000000081595
+1441792 0 2 0 0 5505024 5242880 5242880 0.06875 0.05 0 0 1.00000000205035
+1441792 0 2 0 0 5636096 5242880 5242880 0.06875 0.075 0 0 1.00000000140117
+1441792 0 2 0 0 5767168 5242880 5242880 0.06875 0.1 0 0 1.00000000170236
+1441792 0 2 0 0 5898240 5242880 5242880 0.06875 0.125 0 0 1.00000000066039
+1441792 0 2 0 0 6029312 5242880 5242880 0.06875 0.15 0 0 0.999999999744461
+1441792 0 2 0 0 6160384 5242880 5242880 0.06875 0.175 0 0 0.999999999846531
+1441792 0 2 0 0 6291456 5242880 5242880 0.06875 0.2 0 0 1.00000000014767
+1441792 0 2 0 0 6422528 5242880 5242880 0.06875 0.225 0 0 1.00000000000483
+1441792 0 2 0 0 6553600 5242880 5242880 0.06875 0.25 0 0 0.999999999837646
+
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 0 5242880 5242880 0.075 -1 0 0 1
+1572864 0 0 0 0 524288 5242880 5242880 0.075 -0.9 0 0 1
+1572864 0 0 0 0 1048576 5242880 5242880 0.075 -0.8 0 0 1
+1572864 0 0 0 0 1572864 5242880 5242880 0.075 -0.7 0 0 1
+1572864 0 0 0 0 2097152 5242880 5242880 0.075 -0.6 0 0 0.999999999999962
+1572864 0 0 0 0 2621440 5242880 5242880 0.075 -0.5 0 0 1.0000000000004
+1572864 0 0 0 0 3145728 5242880 5242880 0.075 -0.4 0 0 0.99999999999281
+1572864 0 0 0 0 3670016 5242880 5242880 0.075 -0.3 0 0 1.00000000005299
+1572864 0 0 0 0 4194304 5242880 5242880 0.075 -0.2 0 0 1.00000000024572
+1572864 0 0 0 0 4718592 5242880 5242880 0.075 -0.1 0 0 1.00000000167165
+1572864 0 0 0 0 5242880 5242880 5242880 0.075 0 0 0 1.00000000152164
+1572864 0 0 0 0 5767168 5242880 5242880 0.075 0.1 0 0 1.00000000167165
+1572864 0 0 0 0 6291456 5242880 5242880 0.075 0.2 0 0 1.00000000024572
+1572864 0 0 0 0 6815744 5242880 5242880 0.075 0.3 0 0 1.00000000005299
+1572864 0 0 0 0 7340032 5242880 5242880 0.075 0.4 0 0 0.99999999999281
+1572864 0 0 0 0 7864320 5242880 5242880 0.075 0.5 0 0 1.0000000000004
+1572864 0 0 0 0 8388608 5242880 5242880 0.075 0.6 0 0 0.999999999999962
+1572864 0 0 0 0 8912896 5242880 5242880 0.075 0.7 0 0 1
+1572864 0 0 0 0 9437184 5242880 5242880 0.075 0.8 0 0 1
+1572864 0 0 0 0 9961472 5242880 5242880 0.075 0.9 0 0 1
+1572864 0 0 0 0 10485760 5242880 5242880 0.075 1 0 0 1
+
+
+# iteration 1572864
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 1 0 0 2621440 5242880 5242880 0.075 -0.5 0 0 1.0000000000004
+1572864 0 1 0 0 2883584 5242880 5242880 0.075 -0.45 0 0 0.999999999992871
+1572864 0 1 0 0 3145728 5242880 5242880 0.075 -0.4 0 0 0.99999999999281
+1572864 0 1 0 0 3407872 5242880 5242880 0.075 -0.35 0 0 1.00000000001038
+1572864 0 1 0 0 3670016 5242880 5242880 0.075 -0.3 0 0 1.00000000005299
+1572864 0 1 0 0 3932160 5242880 5242880 0.075 -0.25 0 0 1.000000000064
+1572864 0 1 0 0 4194304 5242880 5242880 0.075 -0.2 0 0 1.00000000024572
+1572864 0 1 0 0 4456448 5242880 5242880 0.075 -0.15 0 0 0.999999999716247
+1572864 0 1 0 0 4718592 5242880 5242880 0.075 -0.1 0 0 1.00000000167165
+1572864 0 1 0 0 4980736 5242880 5242880 0.075 -0.05 0 0 1.00000000250217
+1572864 0 1 0 0 5242880 5242880 5242880 0.075 0 0 0 1.00000000152164
+1572864 0 1 0 0 5505024 5242880 5242880 0.075 0.05 0 0 1.00000000250217
+1572864 0 1 0 0 5767168 5242880 5242880 0.075 0.1 0 0 1.00000000167165
+1572864 0 1 0 0 6029312 5242880 5242880 0.075 0.15 0 0 0.999999999716247
+1572864 0 1 0 0 6291456 5242880 5242880 0.075 0.2 0 0 1.00000000024572
+1572864 0 1 0 0 6553600 5242880 5242880 0.075 0.25 0 0 1.000000000064
+1572864 0 1 0 0 6815744 5242880 5242880 0.075 0.3 0 0 1.00000000005299
+1572864 0 1 0 0 7077888 5242880 5242880 0.075 0.35 0 0 1.00000000001038
+1572864 0 1 0 0 7340032 5242880 5242880 0.075 0.4 0 0 0.99999999999281
+1572864 0 1 0 0 7602176 5242880 5242880 0.075 0.45 0 0 0.999999999992871
+1572864 0 1 0 0 7864320 5242880 5242880 0.075 0.5 0 0 1.0000000000004
+
+
+# iteration 1572864
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 2 0 0 3932160 5242880 5242880 0.075 -0.25 0 0 1.000000000064
+1572864 0 2 0 0 4063232 5242880 5242880 0.075 -0.225 0 0 1.00000000018864
+1572864 0 2 0 0 4194304 5242880 5242880 0.075 -0.2 0 0 1.00000000024572
+1572864 0 2 0 0 4325376 5242880 5242880 0.075 -0.175 0 0 0.99999999987013
+1572864 0 2 0 0 4456448 5242880 5242880 0.075 -0.15 0 0 0.999999999716247
+1572864 0 2 0 0 4587520 5242880 5242880 0.075 -0.125 0 0 1.00000000060895
+1572864 0 2 0 0 4718592 5242880 5242880 0.075 -0.1 0 0 1.00000000167165
+1572864 0 2 0 0 4849664 5242880 5242880 0.075 -0.075 0 0 1.00000000174461
+1572864 0 2 0 0 4980736 5242880 5242880 0.075 -0.05 0 0 1.00000000250217
+1572864 0 2 0 0 5111808 5242880 5242880 0.075 -0.025 0 0 1.00000000115522
+1572864 0 2 0 0 5242880 5242880 5242880 0.075 0 0 0 1.00000000152164
+1572864 0 2 0 0 5373952 5242880 5242880 0.075 0.025 0 0 1.00000000115522
+1572864 0 2 0 0 5505024 5242880 5242880 0.075 0.05 0 0 1.00000000250217
+1572864 0 2 0 0 5636096 5242880 5242880 0.075 0.075 0 0 1.00000000174461
+1572864 0 2 0 0 5767168 5242880 5242880 0.075 0.1 0 0 1.00000000167165
+1572864 0 2 0 0 5898240 5242880 5242880 0.075 0.125 0 0 1.00000000060895
+1572864 0 2 0 0 6029312 5242880 5242880 0.075 0.15 0 0 0.999999999716247
+1572864 0 2 0 0 6160384 5242880 5242880 0.075 0.175 0 0 0.99999999987013
+1572864 0 2 0 0 6291456 5242880 5242880 0.075 0.2 0 0 1.00000000024572
+1572864 0 2 0 0 6422528 5242880 5242880 0.075 0.225 0 0 1.00000000018864
+1572864 0 2 0 0 6553600 5242880 5242880 0.075 0.25 0 0 1.000000000064
+
+
+# iteration 1703936
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 2 0 0 3932160 5242880 5242880 0.08125 -0.25 0 0 1.00000000009816
+1703936 0 2 0 0 4063232 5242880 5242880 0.08125 -0.225 0 0 1.00000000027139
+1703936 0 2 0 0 4194304 5242880 5242880 0.08125 -0.2 0 0 1.00000000035833
+1703936 0 2 0 0 4325376 5242880 5242880 0.08125 -0.175 0 0 0.99999999993576
+1703936 0 2 0 0 4456448 5242880 5242880 0.08125 -0.15 0 0 0.999999999707798
+1703936 0 2 0 0 4587520 5242880 5242880 0.08125 -0.125 0 0 1.00000000050288
+1703936 0 2 0 0 4718592 5242880 5242880 0.08125 -0.1 0 0 1.00000000167849
+1703936 0 2 0 0 4849664 5242880 5242880 0.08125 -0.075 0 0 1.00000000210511
+1703936 0 2 0 0 4980736 5242880 5242880 0.08125 -0.05 0 0 1.00000000298471
+1703936 0 2 0 0 5111808 5242880 5242880 0.08125 -0.025 0 0 1.00000000156541
+1703936 0 2 0 0 5242880 5242880 5242880 0.08125 0 0 0 1.00000000205505
+1703936 0 2 0 0 5373952 5242880 5242880 0.08125 0.025 0 0 1.00000000156541
+1703936 0 2 0 0 5505024 5242880 5242880 0.08125 0.05 0 0 1.00000000298471
+1703936 0 2 0 0 5636096 5242880 5242880 0.08125 0.075 0 0 1.00000000210511
+1703936 0 2 0 0 5767168 5242880 5242880 0.08125 0.1 0 0 1.00000000167849
+1703936 0 2 0 0 5898240 5242880 5242880 0.08125 0.125 0 0 1.00000000050288
+1703936 0 2 0 0 6029312 5242880 5242880 0.08125 0.15 0 0 0.999999999707798
+1703936 0 2 0 0 6160384 5242880 5242880 0.08125 0.175 0 0 0.99999999993576
+1703936 0 2 0 0 6291456 5242880 5242880 0.08125 0.2 0 0 1.00000000035833
+1703936 0 2 0 0 6422528 5242880 5242880 0.08125 0.225 0 0 1.00000000027139
+1703936 0 2 0 0 6553600 5242880 5242880 0.08125 0.25 0 0 1.00000000009816
+
+
+# iteration 1835008
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 1 0 0 2621440 5242880 5242880 0.0875 -0.5 0 0 1.00000000000087
+1835008 0 1 0 0 2883584 5242880 5242880 0.0875 -0.45 0 0 0.999999999991356
+1835008 0 1 0 0 3145728 5242880 5242880 0.0875 -0.4 0 0 0.999999999990733
+1835008 0 1 0 0 3407872 5242880 5242880 0.0875 -0.35 0 0 1.00000000001404
+1835008 0 1 0 0 3670016 5242880 5242880 0.0875 -0.3 0 0 1.00000000006281
+1835008 0 1 0 0 3932160 5242880 5242880 0.0875 -0.25 0 0 1.00000000008321
+1835008 0 1 0 0 4194304 5242880 5242880 0.0875 -0.2 0 0 1.00000000048371
+1835008 0 1 0 0 4456448 5242880 5242880 0.0875 -0.15 0 0 0.999999999714756
+1835008 0 1 0 0 4718592 5242880 5242880 0.0875 -0.1 0 0 1.00000000171941
+1835008 0 1 0 0 4980736 5242880 5242880 0.0875 -0.05 0 0 1.0000000034867
+1835008 0 1 0 0 5242880 5242880 5242880 0.0875 0 0 0 1.00000000267514
+1835008 0 1 0 0 5505024 5242880 5242880 0.0875 0.05 0 0 1.0000000034867
+1835008 0 1 0 0 5767168 5242880 5242880 0.0875 0.1 0 0 1.00000000171941
+1835008 0 1 0 0 6029312 5242880 5242880 0.0875 0.15 0 0 0.999999999714756
+1835008 0 1 0 0 6291456 5242880 5242880 0.0875 0.2 0 0 1.00000000048371
+1835008 0 1 0 0 6553600 5242880 5242880 0.0875 0.25 0 0 1.00000000008321
+1835008 0 1 0 0 6815744 5242880 5242880 0.0875 0.3 0 0 1.00000000006281
+1835008 0 1 0 0 7077888 5242880 5242880 0.0875 0.35 0 0 1.00000000001404
+1835008 0 1 0 0 7340032 5242880 5242880 0.0875 0.4 0 0 0.999999999990733
+1835008 0 1 0 0 7602176 5242880 5242880 0.0875 0.45 0 0 0.999999999991356
+1835008 0 1 0 0 7864320 5242880 5242880 0.0875 0.5 0 0 1.00000000000087
+
+
+# iteration 1835008
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 2 0 0 3932160 5242880 5242880 0.0875 -0.25 0 0 1.00000000008321
+1835008 0 2 0 0 4063232 5242880 5242880 0.0875 -0.225 0 0 1.00000000033279
+1835008 0 2 0 0 4194304 5242880 5242880 0.0875 -0.2 0 0 1.00000000048371
+1835008 0 2 0 0 4325376 5242880 5242880 0.0875 -0.175 0 0 0.999999999998976
+1835008 0 2 0 0 4456448 5242880 5242880 0.0875 -0.15 0 0 0.999999999714756
+1835008 0 2 0 0 4587520 5242880 5242880 0.0875 -0.125 0 0 1.00000000055857
+1835008 0 2 0 0 4718592 5242880 5242880 0.0875 -0.1 0 0 1.00000000171941
+1835008 0 2 0 0 4849664 5242880 5242880 0.0875 -0.075 0 0 1.00000000246804
+1835008 0 2 0 0 4980736 5242880 5242880 0.0875 -0.05 0 0 1.0000000034867
+1835008 0 2 0 0 5111808 5242880 5242880 0.0875 -0.025 0 0 1.00000000204188
+1835008 0 2 0 0 5242880 5242880 5242880 0.0875 0 0 0 1.00000000267514
+1835008 0 2 0 0 5373952 5242880 5242880 0.0875 0.025 0 0 1.00000000204188
+1835008 0 2 0 0 5505024 5242880 5242880 0.0875 0.05 0 0 1.0000000034867
+1835008 0 2 0 0 5636096 5242880 5242880 0.0875 0.075 0 0 1.00000000246804
+1835008 0 2 0 0 5767168 5242880 5242880 0.0875 0.1 0 0 1.00000000171941
+1835008 0 2 0 0 5898240 5242880 5242880 0.0875 0.125 0 0 1.00000000055857
+1835008 0 2 0 0 6029312 5242880 5242880 0.0875 0.15 0 0 0.999999999714756
+1835008 0 2 0 0 6160384 5242880 5242880 0.0875 0.175 0 0 0.999999999998976
+1835008 0 2 0 0 6291456 5242880 5242880 0.0875 0.2 0 0 1.00000000048371
+1835008 0 2 0 0 6422528 5242880 5242880 0.0875 0.225 0 0 1.00000000033279
+1835008 0 2 0 0 6553600 5242880 5242880 0.0875 0.25 0 0 1.00000000008321
+
+
+# iteration 1966080
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 2 0 0 3932160 5242880 5242880 0.09375 -0.25 0 0 1.00000000006939
+1966080 0 2 0 0 4063232 5242880 5242880 0.09375 -0.225 0 0 1.00000000039637
+1966080 0 2 0 0 4194304 5242880 5242880 0.09375 -0.2 0 0 1.00000000061474
+1966080 0 2 0 0 4325376 5242880 5242880 0.09375 -0.175 0 0 1.00000000010307
+1966080 0 2 0 0 4456448 5242880 5242880 0.09375 -0.15 0 0 0.99999999974855
+1966080 0 2 0 0 4587520 5242880 5242880 0.09375 -0.125 0 0 1.00000000046383
+1966080 0 2 0 0 4718592 5242880 5242880 0.09375 -0.1 0 0 1.00000000178245
+1966080 0 2 0 0 4849664 5242880 5242880 0.09375 -0.075 0 0 1.0000000028168
+1966080 0 2 0 0 4980736 5242880 5242880 0.09375 -0.05 0 0 1.0000000039935
+1966080 0 2 0 0 5111808 5242880 5242880 0.09375 -0.025 0 0 1.00000000257445
+1966080 0 2 0 0 5242880 5242880 5242880 0.09375 0 0 0 1.0000000033708
+1966080 0 2 0 0 5373952 5242880 5242880 0.09375 0.025 0 0 1.00000000257445
+1966080 0 2 0 0 5505024 5242880 5242880 0.09375 0.05 0 0 1.0000000039935
+1966080 0 2 0 0 5636096 5242880 5242880 0.09375 0.075 0 0 1.0000000028168
+1966080 0 2 0 0 5767168 5242880 5242880 0.09375 0.1 0 0 1.00000000178245
+1966080 0 2 0 0 5898240 5242880 5242880 0.09375 0.125 0 0 1.00000000046383
+1966080 0 2 0 0 6029312 5242880 5242880 0.09375 0.15 0 0 0.99999999974855
+1966080 0 2 0 0 6160384 5242880 5242880 0.09375 0.175 0 0 1.00000000010307
+1966080 0 2 0 0 6291456 5242880 5242880 0.09375 0.2 0 0 1.00000000061474
+1966080 0 2 0 0 6422528 5242880 5242880 0.09375 0.225 0 0 1.00000000039637
+1966080 0 2 0 0 6553600 5242880 5242880 0.09375 0.25 0 0 1.00000000006939
+
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 0 5242880 5242880 0.1 -1 0 0 1
+2097152 0 0 0 0 524288 5242880 5242880 0.1 -0.9 0 0 1
+2097152 0 0 0 0 1048576 5242880 5242880 0.1 -0.8 0 0 0.999999999999999
+2097152 0 0 0 0 1572864 5242880 5242880 0.1 -0.7 0 0 1.00000000000001
+2097152 0 0 0 0 2097152 5242880 5242880 0.1 -0.6 0 0 0.999999999999814
+2097152 0 0 0 0 2621440 5242880 5242880 0.1 -0.5 0 0 1.00000000000152
+2097152 0 0 0 0 3145728 5242880 5242880 0.1 -0.4 0 0 0.999999999988956
+2097152 0 0 0 0 3670016 5242880 5242880 0.1 -0.3 0 0 1.00000000007015
+2097152 0 0 0 0 4194304 5242880 5242880 0.1 -0.2 0 0 1.00000000075378
+2097152 0 0 0 0 4718592 5242880 5242880 0.1 -0.1 0 0 1.00000000186308
+2097152 0 0 0 0 5242880 5242880 5242880 0.1 0 0 0 1.00000000412429
+2097152 0 0 0 0 5767168 5242880 5242880 0.1 0.1 0 0 1.00000000186308
+2097152 0 0 0 0 6291456 5242880 5242880 0.1 0.2 0 0 1.00000000075378
+2097152 0 0 0 0 6815744 5242880 5242880 0.1 0.3 0 0 1.00000000007015
+2097152 0 0 0 0 7340032 5242880 5242880 0.1 0.4 0 0 0.999999999988956
+2097152 0 0 0 0 7864320 5242880 5242880 0.1 0.5 0 0 1.00000000000152
+2097152 0 0 0 0 8388608 5242880 5242880 0.1 0.6 0 0 0.999999999999814
+2097152 0 0 0 0 8912896 5242880 5242880 0.1 0.7 0 0 1.00000000000001
+2097152 0 0 0 0 9437184 5242880 5242880 0.1 0.8 0 0 0.999999999999999
+2097152 0 0 0 0 9961472 5242880 5242880 0.1 0.9 0 0 1
+2097152 0 0 0 0 10485760 5242880 5242880 0.1 1 0 0 1
+
+
+# iteration 2097152
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 1 0 0 2621440 5242880 5242880 0.1 -0.5 0 0 1.00000000000152
+2097152 0 1 0 0 2883584 5242880 5242880 0.1 -0.45 0 0 0.999999999990269
+2097152 0 1 0 0 3145728 5242880 5242880 0.1 -0.4 0 0 0.999999999988956
+2097152 0 1 0 0 3407872 5242880 5242880 0.1 -0.35 0 0 0.999999999986041
+2097152 0 1 0 0 3670016 5242880 5242880 0.1 -0.3 0 0 1.00000000007015
+2097152 0 1 0 0 3932160 5242880 5242880 0.1 -0.25 0 0 1.00000000034771
+2097152 0 1 0 0 4194304 5242880 5242880 0.1 -0.2 0 0 1.00000000075378
+2097152 0 1 0 0 4456448 5242880 5242880 0.1 -0.15 0 0 0.999999999805372
+2097152 0 1 0 0 4718592 5242880 5242880 0.1 -0.1 0 0 1.00000000186308
+2097152 0 1 0 0 4980736 5242880 5242880 0.1 -0.05 0 0 1.00000000448718
+2097152 0 1 0 0 5242880 5242880 5242880 0.1 0 0 0 1.00000000412429
+2097152 0 1 0 0 5505024 5242880 5242880 0.1 0.05 0 0 1.00000000448718
+2097152 0 1 0 0 5767168 5242880 5242880 0.1 0.1 0 0 1.00000000186308
+2097152 0 1 0 0 6029312 5242880 5242880 0.1 0.15 0 0 0.999999999805372
+2097152 0 1 0 0 6291456 5242880 5242880 0.1 0.2 0 0 1.00000000075378
+2097152 0 1 0 0 6553600 5242880 5242880 0.1 0.25 0 0 1.00000000034771
+2097152 0 1 0 0 6815744 5242880 5242880 0.1 0.3 0 0 1.00000000007015
+2097152 0 1 0 0 7077888 5242880 5242880 0.1 0.35 0 0 0.999999999986041
+2097152 0 1 0 0 7340032 5242880 5242880 0.1 0.4 0 0 0.999999999988956
+2097152 0 1 0 0 7602176 5242880 5242880 0.1 0.45 0 0 0.999999999990269
+2097152 0 1 0 0 7864320 5242880 5242880 0.1 0.5 0 0 1.00000000000152
+
+
+# iteration 2097152
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 2 0 0 3932160 5242880 5242880 0.1 -0.25 0 0 1.00000000034771
+2097152 0 2 0 0 4063232 5242880 5242880 0.1 -0.225 0 0 1.00000000062737
+2097152 0 2 0 0 4194304 5242880 5242880 0.1 -0.2 0 0 1.00000000075378
+2097152 0 2 0 0 4325376 5242880 5242880 0.1 -0.175 0 0 1.00000000017635
+2097152 0 2 0 0 4456448 5242880 5242880 0.1 -0.15 0 0 0.999999999805372
+2097152 0 2 0 0 4587520 5242880 5242880 0.1 -0.125 0 0 1.00000000061094
+2097152 0 2 0 0 4718592 5242880 5242880 0.1 -0.1 0 0 1.00000000186308
+2097152 0 2 0 0 4849664 5242880 5242880 0.1 -0.075 0 0 1.00000000313278
+2097152 0 2 0 0 4980736 5242880 5242880 0.1 -0.05 0 0 1.00000000448718
+2097152 0 2 0 0 5111808 5242880 5242880 0.1 -0.025 0 0 1.00000000314711
+2097152 0 2 0 0 5242880 5242880 5242880 0.1 0 0 0 1.00000000412429
+2097152 0 2 0 0 5373952 5242880 5242880 0.1 0.025 0 0 1.00000000314711
+2097152 0 2 0 0 5505024 5242880 5242880 0.1 0.05 0 0 1.00000000448718
+2097152 0 2 0 0 5636096 5242880 5242880 0.1 0.075 0 0 1.00000000313278
+2097152 0 2 0 0 5767168 5242880 5242880 0.1 0.1 0 0 1.00000000186308
+2097152 0 2 0 0 5898240 5242880 5242880 0.1 0.125 0 0 1.00000000061094
+2097152 0 2 0 0 6029312 5242880 5242880 0.1 0.15 0 0 0.999999999805372
+2097152 0 2 0 0 6160384 5242880 5242880 0.1 0.175 0 0 1.00000000017635
+2097152 0 2 0 0 6291456 5242880 5242880 0.1 0.2 0 0 1.00000000075378
+2097152 0 2 0 0 6422528 5242880 5242880 0.1 0.225 0 0 1.00000000062737
+2097152 0 2 0 0 6553600 5242880 5242880 0.1 0.25 0 0 1.00000000034771
+
+
diff --git a/Carpet/CarpetInterp/test/waveinterp/phit.y.asc b/Carpet/CarpetInterp/test/waveinterp/phit.y.asc
new file mode 100644
index 000000000..4250db6e7
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phit.y.asc
@@ -0,0 +1,808 @@
+# WAVEMOL::phit y (phit)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 5242880 0 5242880 0 0 -1 0 1
+0 0 0 0 0 5242880 524288 5242880 0 0 -0.9 0 1
+0 0 0 0 0 5242880 1048576 5242880 0 0 -0.8 0 1
+0 0 0 0 0 5242880 1572864 5242880 0 0 -0.7 0 1
+0 0 0 0 0 5242880 2097152 5242880 0 0 -0.6 0 1
+0 0 0 0 0 5242880 2621440 5242880 0 0 -0.5 0 1
+0 0 0 0 0 5242880 3145728 5242880 0 0 -0.4 0 1
+0 0 0 0 0 5242880 3670016 5242880 0 0 -0.3 0 1
+0 0 0 0 0 5242880 4194304 5242880 0 0 -0.2 0 1
+0 0 0 0 0 5242880 4718592 5242880 0 0 -0.1 0 1
+0 0 0 0 0 5242880 5242880 5242880 0 0 0 0 1
+0 0 0 0 0 5242880 5767168 5242880 0 0 0.1 0 1
+0 0 0 0 0 5242880 6291456 5242880 0 0 0.2 0 1
+0 0 0 0 0 5242880 6815744 5242880 0 0 0.3 0 1
+0 0 0 0 0 5242880 7340032 5242880 0 0 0.4 0 1
+0 0 0 0 0 5242880 7864320 5242880 0 0 0.5 0 1
+0 0 0 0 0 5242880 8388608 5242880 0 0 0.6 0 1
+0 0 0 0 0 5242880 8912896 5242880 0 0 0.7 0 1
+0 0 0 0 0 5242880 9437184 5242880 0 0 0.8 0 1
+0 0 0 0 0 5242880 9961472 5242880 0 0 0.9 0 1
+0 0 0 0 0 5242880 10485760 5242880 0 0 1 0 1
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 5242880 2621440 5242880 0 0 -0.5 0 1
+0 0 1 0 0 5242880 2883584 5242880 0 0 -0.45 0 1
+0 0 1 0 0 5242880 3145728 5242880 0 0 -0.4 0 1
+0 0 1 0 0 5242880 3407872 5242880 0 0 -0.35 0 1
+0 0 1 0 0 5242880 3670016 5242880 0 0 -0.3 0 1
+0 0 1 0 0 5242880 3932160 5242880 0 0 -0.25 0 1
+0 0 1 0 0 5242880 4194304 5242880 0 0 -0.2 0 1
+0 0 1 0 0 5242880 4456448 5242880 0 0 -0.15 0 1
+0 0 1 0 0 5242880 4718592 5242880 0 0 -0.1 0 1
+0 0 1 0 0 5242880 4980736 5242880 0 0 -0.05 0 1
+0 0 1 0 0 5242880 5242880 5242880 0 0 0 0 1
+0 0 1 0 0 5242880 5505024 5242880 0 0 0.05 0 1
+0 0 1 0 0 5242880 5767168 5242880 0 0 0.1 0 1
+0 0 1 0 0 5242880 6029312 5242880 0 0 0.15 0 1
+0 0 1 0 0 5242880 6291456 5242880 0 0 0.2 0 1
+0 0 1 0 0 5242880 6553600 5242880 0 0 0.25 0 1
+0 0 1 0 0 5242880 6815744 5242880 0 0 0.3 0 1
+0 0 1 0 0 5242880 7077888 5242880 0 0 0.35 0 1
+0 0 1 0 0 5242880 7340032 5242880 0 0 0.4 0 1
+0 0 1 0 0 5242880 7602176 5242880 0 0 0.45 0 1
+0 0 1 0 0 5242880 7864320 5242880 0 0 0.5 0 1
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 5242880 3932160 5242880 0 0 -0.25 0 1
+0 0 2 0 0 5242880 4063232 5242880 0 0 -0.225 0 1
+0 0 2 0 0 5242880 4194304 5242880 0 0 -0.2 0 1
+0 0 2 0 0 5242880 4325376 5242880 0 0 -0.175 0 1
+0 0 2 0 0 5242880 4456448 5242880 0 0 -0.15 0 1
+0 0 2 0 0 5242880 4587520 5242880 0 0 -0.125 0 1
+0 0 2 0 0 5242880 4718592 5242880 0 0 -0.1 0 1
+0 0 2 0 0 5242880 4849664 5242880 0 0 -0.075 0 1
+0 0 2 0 0 5242880 4980736 5242880 0 0 -0.05 0 1
+0 0 2 0 0 5242880 5111808 5242880 0 0 -0.025 0 1
+0 0 2 0 0 5242880 5242880 5242880 0 0 0 0 1
+0 0 2 0 0 5242880 5373952 5242880 0 0 0.025 0 1
+0 0 2 0 0 5242880 5505024 5242880 0 0 0.05 0 1
+0 0 2 0 0 5242880 5636096 5242880 0 0 0.075 0 1
+0 0 2 0 0 5242880 5767168 5242880 0 0 0.1 0 1
+0 0 2 0 0 5242880 5898240 5242880 0 0 0.125 0 1
+0 0 2 0 0 5242880 6029312 5242880 0 0 0.15 0 1
+0 0 2 0 0 5242880 6160384 5242880 0 0 0.175 0 1
+0 0 2 0 0 5242880 6291456 5242880 0 0 0.2 0 1
+0 0 2 0 0 5242880 6422528 5242880 0 0 0.225 0 1
+0 0 2 0 0 5242880 6553600 5242880 0 0 0.25 0 1
+
+
+# iteration 131072
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 2 0 0 5242880 3932160 5242880 0.00625 0 -0.25 0 1
+131072 0 2 0 0 5242880 4063232 5242880 0.00625 0 -0.225 0 1
+131072 0 2 0 0 5242880 4194304 5242880 0.00625 0 -0.2 0 1
+131072 0 2 0 0 5242880 4325376 5242880 0.00625 0 -0.175 0 1
+131072 0 2 0 0 5242880 4456448 5242880 0.00625 0 -0.15 0 1
+131072 0 2 0 0 5242880 4587520 5242880 0.00625 0 -0.125 0 1
+131072 0 2 0 0 5242880 4718592 5242880 0.00625 0 -0.1 0 1
+131072 0 2 0 0 5242880 4849664 5242880 0.00625 0 -0.075 0 1
+131072 0 2 0 0 5242880 4980736 5242880 0.00625 0 -0.05 0 1
+131072 0 2 0 0 5242880 5111808 5242880 0.00625 0 -0.025 0 1
+131072 0 2 0 0 5242880 5242880 5242880 0.00625 0 0 0 1
+131072 0 2 0 0 5242880 5373952 5242880 0.00625 0 0.025 0 1
+131072 0 2 0 0 5242880 5505024 5242880 0.00625 0 0.05 0 1
+131072 0 2 0 0 5242880 5636096 5242880 0.00625 0 0.075 0 1
+131072 0 2 0 0 5242880 5767168 5242880 0.00625 0 0.1 0 1
+131072 0 2 0 0 5242880 5898240 5242880 0.00625 0 0.125 0 1
+131072 0 2 0 0 5242880 6029312 5242880 0.00625 0 0.15 0 1
+131072 0 2 0 0 5242880 6160384 5242880 0.00625 0 0.175 0 1
+131072 0 2 0 0 5242880 6291456 5242880 0.00625 0 0.2 0 1
+131072 0 2 0 0 5242880 6422528 5242880 0.00625 0 0.225 0 1
+131072 0 2 0 0 5242880 6553600 5242880 0.00625 0 0.25 0 1
+
+
+# iteration 262144
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 1 0 0 5242880 2621440 5242880 0.0125 0 -0.5 0 1
+262144 0 1 0 0 5242880 2883584 5242880 0.0125 0 -0.45 0 1
+262144 0 1 0 0 5242880 3145728 5242880 0.0125 0 -0.4 0 1
+262144 0 1 0 0 5242880 3407872 5242880 0.0125 0 -0.35 0 1
+262144 0 1 0 0 5242880 3670016 5242880 0.0125 0 -0.3 0 1
+262144 0 1 0 0 5242880 3932160 5242880 0.0125 0 -0.25 0 1
+262144 0 1 0 0 5242880 4194304 5242880 0.0125 0 -0.2 0 1
+262144 0 1 0 0 5242880 4456448 5242880 0.0125 0 -0.15 0 1
+262144 0 1 0 0 5242880 4718592 5242880 0.0125 0 -0.1 0 1.00000000277135
+262144 0 1 0 0 5242880 4980736 5242880 0.0125 0 -0.05 0 1.00000000000728
+262144 0 1 0 0 5242880 5242880 5242880 0.0125 0 0 0 1
+262144 0 1 0 0 5242880 5505024 5242880 0.0125 0 0.05 0 1.00000000000728
+262144 0 1 0 0 5242880 5767168 5242880 0.0125 0 0.1 0 1.00000000277135
+262144 0 1 0 0 5242880 6029312 5242880 0.0125 0 0.15 0 1
+262144 0 1 0 0 5242880 6291456 5242880 0.0125 0 0.2 0 1
+262144 0 1 0 0 5242880 6553600 5242880 0.0125 0 0.25 0 1
+262144 0 1 0 0 5242880 6815744 5242880 0.0125 0 0.3 0 1
+262144 0 1 0 0 5242880 7077888 5242880 0.0125 0 0.35 0 1
+262144 0 1 0 0 5242880 7340032 5242880 0.0125 0 0.4 0 1
+262144 0 1 0 0 5242880 7602176 5242880 0.0125 0 0.45 0 1
+262144 0 1 0 0 5242880 7864320 5242880 0.0125 0 0.5 0 1
+
+
+# iteration 262144
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 2 0 0 5242880 3932160 5242880 0.0125 0 -0.25 0 1
+262144 0 2 0 0 5242880 4063232 5242880 0.0125 0 -0.225 0 1
+262144 0 2 0 0 5242880 4194304 5242880 0.0125 0 -0.2 0 1
+262144 0 2 0 0 5242880 4325376 5242880 0.0125 0 -0.175 0 0.999999999826791
+262144 0 2 0 0 5242880 4456448 5242880 0.0125 0 -0.15 0 1
+262144 0 2 0 0 5242880 4587520 5242880 0.0125 0 -0.125 0 1.00000000155843
+262144 0 2 0 0 5242880 4718592 5242880 0.0125 0 -0.1 0 1.00000000277135
+262144 0 2 0 0 5242880 4849664 5242880 0.0125 0 -0.075 0 0.999999999998383
+262144 0 2 0 0 5242880 4980736 5242880 0.0125 0 -0.05 0 1.00000000000728
+262144 0 2 0 0 5242880 5111808 5242880 0.0125 0 -0.025 0 1
+262144 0 2 0 0 5242880 5242880 5242880 0.0125 0 0 0 1
+262144 0 2 0 0 5242880 5373952 5242880 0.0125 0 0.025 0 1
+262144 0 2 0 0 5242880 5505024 5242880 0.0125 0 0.05 0 1.00000000000728
+262144 0 2 0 0 5242880 5636096 5242880 0.0125 0 0.075 0 0.999999999998383
+262144 0 2 0 0 5242880 5767168 5242880 0.0125 0 0.1 0 1.00000000277135
+262144 0 2 0 0 5242880 5898240 5242880 0.0125 0 0.125 0 1.00000000155843
+262144 0 2 0 0 5242880 6029312 5242880 0.0125 0 0.15 0 1
+262144 0 2 0 0 5242880 6160384 5242880 0.0125 0 0.175 0 0.999999999826791
+262144 0 2 0 0 5242880 6291456 5242880 0.0125 0 0.2 0 1
+262144 0 2 0 0 5242880 6422528 5242880 0.0125 0 0.225 0 1
+262144 0 2 0 0 5242880 6553600 5242880 0.0125 0 0.25 0 1
+
+
+# iteration 393216
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 2 0 0 5242880 3932160 5242880 0.01875 0 -0.25 0 1
+393216 0 2 0 0 5242880 4063232 5242880 0.01875 0 -0.225 0 0.999999999945108
+393216 0 2 0 0 5242880 4194304 5242880 0.01875 0 -0.2 0 0.999999999902543
+393216 0 2 0 0 5242880 4325376 5242880 0.01875 0 -0.175 0 0.99999999974986
+393216 0 2 0 0 5242880 4456448 5242880 0.01875 0 -0.15 0 1.00000000000116
+393216 0 2 0 0 5242880 4587520 5242880 0.01875 0 -0.125 0 1.00000000176809
+393216 0 2 0 0 5242880 4718592 5242880 0.01875 0 -0.1 0 1.00000000270433
+393216 0 2 0 0 5242880 4849664 5242880 0.01875 0 -0.075 0 1.00000000000657
+393216 0 2 0 0 5242880 4980736 5242880 0.01875 0 -0.05 0 1.00000000005092
+393216 0 2 0 0 5242880 5111808 5242880 0.01875 0 -0.025 0 1.00000000000043
+393216 0 2 0 0 5242880 5242880 5242880 0.01875 0 0 0 1.00000000000068
+393216 0 2 0 0 5242880 5373952 5242880 0.01875 0 0.025 0 1.00000000000043
+393216 0 2 0 0 5242880 5505024 5242880 0.01875 0 0.05 0 1.00000000005092
+393216 0 2 0 0 5242880 5636096 5242880 0.01875 0 0.075 0 1.00000000000657
+393216 0 2 0 0 5242880 5767168 5242880 0.01875 0 0.1 0 1.00000000270433
+393216 0 2 0 0 5242880 5898240 5242880 0.01875 0 0.125 0 1.00000000176809
+393216 0 2 0 0 5242880 6029312 5242880 0.01875 0 0.15 0 1.00000000000116
+393216 0 2 0 0 5242880 6160384 5242880 0.01875 0 0.175 0 0.99999999974986
+393216 0 2 0 0 5242880 6291456 5242880 0.01875 0 0.2 0 0.999999999902543
+393216 0 2 0 0 5242880 6422528 5242880 0.01875 0 0.225 0 0.999999999945108
+393216 0 2 0 0 5242880 6553600 5242880 0.01875 0 0.25 0 1
+
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 5242880 0 5242880 0.025 0 -1 0 1
+524288 0 0 0 0 5242880 524288 5242880 0.025 0 -0.9 0 1
+524288 0 0 0 0 5242880 1048576 5242880 0.025 0 -0.8 0 1
+524288 0 0 0 0 5242880 1572864 5242880 0.025 0 -0.7 0 1
+524288 0 0 0 0 5242880 2097152 5242880 0.025 0 -0.6 0 1
+524288 0 0 0 0 5242880 2621440 5242880 0.025 0 -0.5 0 1
+524288 0 0 0 0 5242880 3145728 5242880 0.025 0 -0.4 0 1
+524288 0 0 0 0 5242880 3670016 5242880 0.025 0 -0.3 0 1
+524288 0 0 0 0 5242880 4194304 5242880 0.025 0 -0.2 0 0.999999999740114
+524288 0 0 0 0 5242880 4718592 5242880 0.025 0 -0.1 0 1.00000000258949
+524288 0 0 0 0 5242880 5242880 5242880 0.025 0 0 0 1.0000000000064
+524288 0 0 0 0 5242880 5767168 5242880 0.025 0 0.1 0 1.00000000258949
+524288 0 0 0 0 5242880 6291456 5242880 0.025 0 0.2 0 0.999999999740114
+524288 0 0 0 0 5242880 6815744 5242880 0.025 0 0.3 0 1
+524288 0 0 0 0 5242880 7340032 5242880 0.025 0 0.4 0 1
+524288 0 0 0 0 5242880 7864320 5242880 0.025 0 0.5 0 1
+524288 0 0 0 0 5242880 8388608 5242880 0.025 0 0.6 0 1
+524288 0 0 0 0 5242880 8912896 5242880 0.025 0 0.7 0 1
+524288 0 0 0 0 5242880 9437184 5242880 0.025 0 0.8 0 1
+524288 0 0 0 0 5242880 9961472 5242880 0.025 0 0.9 0 1
+524288 0 0 0 0 5242880 10485760 5242880 0.025 0 1 0 1
+
+
+# iteration 524288
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 1 0 0 5242880 2621440 5242880 0.025 0 -0.5 0 1
+524288 0 1 0 0 5242880 2883584 5242880 0.025 0 -0.45 0 1
+524288 0 1 0 0 5242880 3145728 5242880 0.025 0 -0.4 0 1
+524288 0 1 0 0 5242880 3407872 5242880 0.025 0 -0.35 0 1.00000000001624
+524288 0 1 0 0 5242880 3670016 5242880 0.025 0 -0.3 0 1
+524288 0 1 0 0 5242880 3932160 5242880 0.025 0 -0.25 0 0.999999999691971
+524288 0 1 0 0 5242880 4194304 5242880 0.025 0 -0.2 0 0.999999999740114
+524288 0 1 0 0 5242880 4456448 5242880 0.025 0 -0.15 0 1.0000000000031
+524288 0 1 0 0 5242880 4718592 5242880 0.025 0 -0.1 0 1.00000000258949
+524288 0 1 0 0 5242880 4980736 5242880 0.025 0 -0.05 0 1.00000000013846
+524288 0 1 0 0 5242880 5242880 5242880 0.025 0 0 0 1.0000000000064
+524288 0 1 0 0 5242880 5505024 5242880 0.025 0 0.05 0 1.00000000013846
+524288 0 1 0 0 5242880 5767168 5242880 0.025 0 0.1 0 1.00000000258949
+524288 0 1 0 0 5242880 6029312 5242880 0.025 0 0.15 0 1.0000000000031
+524288 0 1 0 0 5242880 6291456 5242880 0.025 0 0.2 0 0.999999999740114
+524288 0 1 0 0 5242880 6553600 5242880 0.025 0 0.25 0 0.999999999691971
+524288 0 1 0 0 5242880 6815744 5242880 0.025 0 0.3 0 1
+524288 0 1 0 0 5242880 7077888 5242880 0.025 0 0.35 0 1.00000000001624
+524288 0 1 0 0 5242880 7340032 5242880 0.025 0 0.4 0 1
+524288 0 1 0 0 5242880 7602176 5242880 0.025 0 0.45 0 1
+524288 0 1 0 0 5242880 7864320 5242880 0.025 0 0.5 0 1
+
+
+# iteration 524288
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 2 0 0 5242880 3932160 5242880 0.025 0 -0.25 0 0.999999999691971
+524288 0 2 0 0 5242880 4063232 5242880 0.025 0 -0.225 0 0.999999999680354
+524288 0 2 0 0 5242880 4194304 5242880 0.025 0 -0.2 0 0.999999999740114
+524288 0 2 0 0 5242880 4325376 5242880 0.025 0 -0.175 0 0.999999999712965
+524288 0 2 0 0 5242880 4456448 5242880 0.025 0 -0.15 0 1.0000000000031
+524288 0 2 0 0 5242880 4587520 5242880 0.025 0 -0.125 0 1.00000000146592
+524288 0 2 0 0 5242880 4718592 5242880 0.025 0 -0.1 0 1.00000000258949
+524288 0 2 0 0 5242880 4849664 5242880 0.025 0 -0.075 0 1.00000000004511
+524288 0 2 0 0 5242880 4980736 5242880 0.025 0 -0.05 0 1.00000000013846
+524288 0 2 0 0 5242880 5111808 5242880 0.025 0 -0.025 0 1.00000000000435
+524288 0 2 0 0 5242880 5242880 5242880 0.025 0 0 0 1.0000000000064
+524288 0 2 0 0 5242880 5373952 5242880 0.025 0 0.025 0 1.00000000000435
+524288 0 2 0 0 5242880 5505024 5242880 0.025 0 0.05 0 1.00000000013846
+524288 0 2 0 0 5242880 5636096 5242880 0.025 0 0.075 0 1.00000000004511
+524288 0 2 0 0 5242880 5767168 5242880 0.025 0 0.1 0 1.00000000258949
+524288 0 2 0 0 5242880 5898240 5242880 0.025 0 0.125 0 1.00000000146592
+524288 0 2 0 0 5242880 6029312 5242880 0.025 0 0.15 0 1.0000000000031
+524288 0 2 0 0 5242880 6160384 5242880 0.025 0 0.175 0 0.999999999712965
+524288 0 2 0 0 5242880 6291456 5242880 0.025 0 0.2 0 0.999999999740114
+524288 0 2 0 0 5242880 6422528 5242880 0.025 0 0.225 0 0.999999999680354
+524288 0 2 0 0 5242880 6553600 5242880 0.025 0 0.25 0 0.999999999691971
+
+
+# iteration 655360
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 2 0 0 5242880 3932160 5242880 0.03125 0 -0.25 0 0.999999999640443
+655360 0 2 0 0 5242880 4063232 5242880 0.03125 0 -0.225 0 0.999999999647753
+655360 0 2 0 0 5242880 4194304 5242880 0.03125 0 -0.2 0 0.999999999732034
+655360 0 2 0 0 5242880 4325376 5242880 0.03125 0 -0.175 0 0.999999999702523
+655360 0 2 0 0 5242880 4456448 5242880 0.03125 0 -0.15 0 0.999999999984606
+655360 0 2 0 0 5242880 4587520 5242880 0.03125 0 -0.125 0 1.00000000144041
+655360 0 2 0 0 5242880 4718592 5242880 0.03125 0 -0.1 0 1.00000000246101
+655360 0 2 0 0 5242880 4849664 5242880 0.03125 0 -0.075 0 1.00000000011784
+655360 0 2 0 0 5242880 4980736 5242880 0.03125 0 -0.05 0 1.00000000027064
+655360 0 2 0 0 5242880 5111808 5242880 0.03125 0 -0.025 0 1.00000000001744
+655360 0 2 0 0 5242880 5242880 5242880 0.03125 0 0 0 1.00000000002479
+655360 0 2 0 0 5242880 5373952 5242880 0.03125 0 0.025 0 1.00000000001744
+655360 0 2 0 0 5242880 5505024 5242880 0.03125 0 0.05 0 1.00000000027064
+655360 0 2 0 0 5242880 5636096 5242880 0.03125 0 0.075 0 1.00000000011784
+655360 0 2 0 0 5242880 5767168 5242880 0.03125 0 0.1 0 1.00000000246101
+655360 0 2 0 0 5242880 5898240 5242880 0.03125 0 0.125 0 1.00000000144041
+655360 0 2 0 0 5242880 6029312 5242880 0.03125 0 0.15 0 0.999999999984606
+655360 0 2 0 0 5242880 6160384 5242880 0.03125 0 0.175 0 0.999999999702523
+655360 0 2 0 0 5242880 6291456 5242880 0.03125 0 0.2 0 0.999999999732034
+655360 0 2 0 0 5242880 6422528 5242880 0.03125 0 0.225 0 0.999999999647753
+655360 0 2 0 0 5242880 6553600 5242880 0.03125 0 0.25 0 0.999999999640443
+
+
+# iteration 786432
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 1 0 0 5242880 2621440 5242880 0.0375 0 -0.5 0 1.00000000000001
+786432 0 1 0 0 5242880 2883584 5242880 0.0375 0 -0.45 0 0.999999999998945
+786432 0 1 0 0 5242880 3145728 5242880 0.0375 0 -0.4 0 0.999999999999198
+786432 0 1 0 0 5242880 3407872 5242880 0.0375 0 -0.35 0 1.00000000002395
+786432 0 1 0 0 5242880 3670016 5242880 0.0375 0 -0.3 0 1.00000000000972
+786432 0 1 0 0 5242880 3932160 5242880 0.0375 0 -0.25 0 0.99999999965724
+786432 0 1 0 0 5242880 4194304 5242880 0.0375 0 -0.2 0 0.999999999805198
+786432 0 1 0 0 5242880 4456448 5242880 0.0375 0 -0.15 0 0.999999999952753
+786432 0 1 0 0 5242880 4718592 5242880 0.0375 0 -0.1 0 1.00000000230525
+786432 0 1 0 0 5242880 4980736 5242880 0.0375 0 -0.05 0 1.00000000044868
+786432 0 1 0 0 5242880 5242880 5242880 0.0375 0 0 0 1.00000000006647
+786432 0 1 0 0 5242880 5505024 5242880 0.0375 0 0.05 0 1.00000000044868
+786432 0 1 0 0 5242880 5767168 5242880 0.0375 0 0.1 0 1.00000000230525
+786432 0 1 0 0 5242880 6029312 5242880 0.0375 0 0.15 0 0.999999999952753
+786432 0 1 0 0 5242880 6291456 5242880 0.0375 0 0.2 0 0.999999999805198
+786432 0 1 0 0 5242880 6553600 5242880 0.0375 0 0.25 0 0.99999999965724
+786432 0 1 0 0 5242880 6815744 5242880 0.0375 0 0.3 0 1.00000000000972
+786432 0 1 0 0 5242880 7077888 5242880 0.0375 0 0.35 0 1.00000000002395
+786432 0 1 0 0 5242880 7340032 5242880 0.0375 0 0.4 0 0.999999999999198
+786432 0 1 0 0 5242880 7602176 5242880 0.0375 0 0.45 0 0.999999999998945
+786432 0 1 0 0 5242880 7864320 5242880 0.0375 0 0.5 0 1.00000000000001
+
+
+# iteration 786432
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 2 0 0 5242880 3932160 5242880 0.0375 0 -0.25 0 0.99999999965724
+786432 0 2 0 0 5242880 4063232 5242880 0.0375 0 -0.225 0 0.999999999699967
+786432 0 2 0 0 5242880 4194304 5242880 0.0375 0 -0.2 0 0.999999999805198
+786432 0 2 0 0 5242880 4325376 5242880 0.0375 0 -0.175 0 0.999999999741191
+786432 0 2 0 0 5242880 4456448 5242880 0.0375 0 -0.15 0 0.999999999952753
+786432 0 2 0 0 5242880 4587520 5242880 0.0375 0 -0.125 0 1.00000000125426
+786432 0 2 0 0 5242880 4718592 5242880 0.0375 0 -0.1 0 1.00000000230525
+786432 0 2 0 0 5242880 4849664 5242880 0.0375 0 -0.075 0 1.00000000022745
+786432 0 2 0 0 5242880 4980736 5242880 0.0375 0 -0.05 0 1.00000000044868
+786432 0 2 0 0 5242880 5111808 5242880 0.0375 0 -0.025 0 1.00000000004778
+786432 0 2 0 0 5242880 5242880 5242880 0.0375 0 0 0 1.00000000006647
+786432 0 2 0 0 5242880 5373952 5242880 0.0375 0 0.025 0 1.00000000004778
+786432 0 2 0 0 5242880 5505024 5242880 0.0375 0 0.05 0 1.00000000044868
+786432 0 2 0 0 5242880 5636096 5242880 0.0375 0 0.075 0 1.00000000022745
+786432 0 2 0 0 5242880 5767168 5242880 0.0375 0 0.1 0 1.00000000230525
+786432 0 2 0 0 5242880 5898240 5242880 0.0375 0 0.125 0 1.00000000125426
+786432 0 2 0 0 5242880 6029312 5242880 0.0375 0 0.15 0 0.999999999952753
+786432 0 2 0 0 5242880 6160384 5242880 0.0375 0 0.175 0 0.999999999741191
+786432 0 2 0 0 5242880 6291456 5242880 0.0375 0 0.2 0 0.999999999805198
+786432 0 2 0 0 5242880 6422528 5242880 0.0375 0 0.225 0 0.999999999699967
+786432 0 2 0 0 5242880 6553600 5242880 0.0375 0 0.25 0 0.99999999965724
+
+
+# iteration 917504
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 2 0 0 5242880 3932160 5242880 0.04375 0 -0.25 0 0.999999999669696
+917504 0 2 0 0 5242880 4063232 5242880 0.04375 0 -0.225 0 0.999999999735269
+917504 0 2 0 0 5242880 4194304 5242880 0.04375 0 -0.2 0 0.999999999852133
+917504 0 2 0 0 5242880 4325376 5242880 0.04375 0 -0.175 0 0.999999999749234
+917504 0 2 0 0 5242880 4456448 5242880 0.04375 0 -0.15 0 0.999999999915148
+917504 0 2 0 0 5242880 4587520 5242880 0.04375 0 -0.125 0 1.00000000119155
+917504 0 2 0 0 5242880 4718592 5242880 0.04375 0 -0.1 0 1.0000000021537
+917504 0 2 0 0 5242880 4849664 5242880 0.04375 0 -0.075 0 1.00000000037762
+917504 0 2 0 0 5242880 4980736 5242880 0.04375 0 -0.05 0 1.00000000067385
+917504 0 2 0 0 5242880 5111808 5242880 0.04375 0 -0.025 0 1.00000000010524
+917504 0 2 0 0 5242880 5242880 5242880 0.04375 0 0 0 1.00000000014416
+917504 0 2 0 0 5242880 5373952 5242880 0.04375 0 0.025 0 1.00000000010524
+917504 0 2 0 0 5242880 5505024 5242880 0.04375 0 0.05 0 1.00000000067385
+917504 0 2 0 0 5242880 5636096 5242880 0.04375 0 0.075 0 1.00000000037762
+917504 0 2 0 0 5242880 5767168 5242880 0.04375 0 0.1 0 1.0000000021537
+917504 0 2 0 0 5242880 5898240 5242880 0.04375 0 0.125 0 1.00000000119155
+917504 0 2 0 0 5242880 6029312 5242880 0.04375 0 0.15 0 0.999999999915148
+917504 0 2 0 0 5242880 6160384 5242880 0.04375 0 0.175 0 0.999999999749234
+917504 0 2 0 0 5242880 6291456 5242880 0.04375 0 0.2 0 0.999999999852133
+917504 0 2 0 0 5242880 6422528 5242880 0.04375 0 0.225 0 0.999999999735269
+917504 0 2 0 0 5242880 6553600 5242880 0.04375 0 0.25 0 0.999999999669696
+
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 5242880 0 5242880 0.05 0 -1 0 1
+1048576 0 0 0 0 5242880 524288 5242880 0.05 0 -0.9 0 1
+1048576 0 0 0 0 5242880 1048576 5242880 0.05 0 -0.8 0 1
+1048576 0 0 0 0 5242880 1572864 5242880 0.05 0 -0.7 0 1
+1048576 0 0 0 0 5242880 2097152 5242880 0.05 0 -0.6 0 1
+1048576 0 0 0 0 5242880 2621440 5242880 0.05 0 -0.5 0 1.00000000000002
+1048576 0 0 0 0 5242880 3145728 5242880 0.05 0 -0.4 0 0.99999999999786
+1048576 0 0 0 0 5242880 3670016 5242880 0.05 0 -0.3 0 1.00000000002592
+1048576 0 0 0 0 5242880 4194304 5242880 0.05 0 -0.2 0 0.999999999908662
+1048576 0 0 0 0 5242880 4718592 5242880 0.05 0 -0.1 0 1.00000000200092
+1048576 0 0 0 0 5242880 5242880 5242880 0.05 0 0 0 1.00000000027159
+1048576 0 0 0 0 5242880 5767168 5242880 0.05 0 0.1 0 1.00000000200092
+1048576 0 0 0 0 5242880 6291456 5242880 0.05 0 0.2 0 0.999999999908662
+1048576 0 0 0 0 5242880 6815744 5242880 0.05 0 0.3 0 1.00000000002592
+1048576 0 0 0 0 5242880 7340032 5242880 0.05 0 0.4 0 0.99999999999786
+1048576 0 0 0 0 5242880 7864320 5242880 0.05 0 0.5 0 1.00000000000002
+1048576 0 0 0 0 5242880 8388608 5242880 0.05 0 0.6 0 1
+1048576 0 0 0 0 5242880 8912896 5242880 0.05 0 0.7 0 1
+1048576 0 0 0 0 5242880 9437184 5242880 0.05 0 0.8 0 1
+1048576 0 0 0 0 5242880 9961472 5242880 0.05 0 0.9 0 1
+1048576 0 0 0 0 5242880 10485760 5242880 0.05 0 1 0 1
+
+
+# iteration 1048576
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 1 0 0 5242880 2621440 5242880 0.05 0 -0.5 0 1.00000000000002
+1048576 0 1 0 0 5242880 2883584 5242880 0.05 0 -0.45 0 0.999999999997185
+1048576 0 1 0 0 5242880 3145728 5242880 0.05 0 -0.4 0 0.99999999999786
+1048576 0 1 0 0 5242880 3407872 5242880 0.05 0 -0.35 0 1.00000000001908
+1048576 0 1 0 0 5242880 3670016 5242880 0.05 0 -0.3 0 1.00000000002592
+1048576 0 1 0 0 5242880 3932160 5242880 0.05 0 -0.25 0 0.999999999838278
+1048576 0 1 0 0 5242880 4194304 5242880 0.05 0 -0.2 0 0.999999999908662
+1048576 0 1 0 0 5242880 4456448 5242880 0.05 0 -0.15 0 0.999999999869254
+1048576 0 1 0 0 5242880 4718592 5242880 0.05 0 -0.1 0 1.00000000200092
+1048576 0 1 0 0 5242880 4980736 5242880 0.05 0 -0.05 0 1.00000000094713
+1048576 0 1 0 0 5242880 5242880 5242880 0.05 0 0 0 1.00000000027159
+1048576 0 1 0 0 5242880 5505024 5242880 0.05 0 0.05 0 1.00000000094713
+1048576 0 1 0 0 5242880 5767168 5242880 0.05 0 0.1 0 1.00000000200092
+1048576 0 1 0 0 5242880 6029312 5242880 0.05 0 0.15 0 0.999999999869254
+1048576 0 1 0 0 5242880 6291456 5242880 0.05 0 0.2 0 0.999999999908662
+1048576 0 1 0 0 5242880 6553600 5242880 0.05 0 0.25 0 0.999999999838278
+1048576 0 1 0 0 5242880 6815744 5242880 0.05 0 0.3 0 1.00000000002592
+1048576 0 1 0 0 5242880 7077888 5242880 0.05 0 0.35 0 1.00000000001908
+1048576 0 1 0 0 5242880 7340032 5242880 0.05 0 0.4 0 0.99999999999786
+1048576 0 1 0 0 5242880 7602176 5242880 0.05 0 0.45 0 0.999999999997185
+1048576 0 1 0 0 5242880 7864320 5242880 0.05 0 0.5 0 1.00000000000002
+
+
+# iteration 1048576
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 2 0 0 5242880 3932160 5242880 0.05 0 -0.25 0 0.999999999838278
+1048576 0 2 0 0 5242880 4063232 5242880 0.05 0 -0.225 0 0.999999999864206
+1048576 0 2 0 0 5242880 4194304 5242880 0.05 0 -0.2 0 0.999999999908662
+1048576 0 2 0 0 5242880 4325376 5242880 0.05 0 -0.175 0 0.999999999760128
+1048576 0 2 0 0 5242880 4456448 5242880 0.05 0 -0.15 0 0.999999999869254
+1048576 0 2 0 0 5242880 4587520 5242880 0.05 0 -0.125 0 1.00000000099849
+1048576 0 2 0 0 5242880 4718592 5242880 0.05 0 -0.1 0 1.00000000200092
+1048576 0 2 0 0 5242880 4849664 5242880 0.05 0 -0.075 0 1.00000000057078
+1048576 0 2 0 0 5242880 4980736 5242880 0.05 0 -0.05 0 1.00000000094713
+1048576 0 2 0 0 5242880 5111808 5242880 0.05 0 -0.025 0 1.00000000020061
+1048576 0 2 0 0 5242880 5242880 5242880 0.05 0 0 0 1.00000000027159
+1048576 0 2 0 0 5242880 5373952 5242880 0.05 0 0.025 0 1.00000000020061
+1048576 0 2 0 0 5242880 5505024 5242880 0.05 0 0.05 0 1.00000000094713
+1048576 0 2 0 0 5242880 5636096 5242880 0.05 0 0.075 0 1.00000000057078
+1048576 0 2 0 0 5242880 5767168 5242880 0.05 0 0.1 0 1.00000000200092
+1048576 0 2 0 0 5242880 5898240 5242880 0.05 0 0.125 0 1.00000000099849
+1048576 0 2 0 0 5242880 6029312 5242880 0.05 0 0.15 0 0.999999999869254
+1048576 0 2 0 0 5242880 6160384 5242880 0.05 0 0.175 0 0.999999999760128
+1048576 0 2 0 0 5242880 6291456 5242880 0.05 0 0.2 0 0.999999999908662
+1048576 0 2 0 0 5242880 6422528 5242880 0.05 0 0.225 0 0.999999999864206
+1048576 0 2 0 0 5242880 6553600 5242880 0.05 0 0.25 0 0.999999999838278
+
+
+# iteration 1179648
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 2 0 0 5242880 3932160 5242880 0.05625 0 -0.25 0 0.999999999864691
+1179648 0 2 0 0 5242880 4063232 5242880 0.05625 0 -0.225 0 0.999999999920328
+1179648 0 2 0 0 5242880 4194304 5242880 0.05625 0 -0.2 0 0.999999999977901
+1179648 0 2 0 0 5242880 4325376 5242880 0.05625 0 -0.175 0 0.999999999778339
+1179648 0 2 0 0 5242880 4456448 5242880 0.05625 0 -0.15 0 0.999999999825109
+1179648 0 2 0 0 5242880 4587520 5242880 0.05625 0 -0.125 0 1.0000000009088
+1179648 0 2 0 0 5242880 4718592 5242880 0.05625 0 -0.1 0 1.00000000187364
+1179648 0 2 0 0 5242880 4849664 5242880 0.05625 0 -0.075 0 1.00000000080762
+1179648 0 2 0 0 5242880 4980736 5242880 0.05625 0 -0.05 0 1.00000000126869
+1179648 0 2 0 0 5242880 5111808 5242880 0.05625 0 -0.025 0 1.0000000003447
+1179648 0 2 0 0 5242880 5242880 5242880 0.05625 0 0 0 1.00000000046233
+1179648 0 2 0 0 5242880 5373952 5242880 0.05625 0 0.025 0 1.0000000003447
+1179648 0 2 0 0 5242880 5505024 5242880 0.05625 0 0.05 0 1.00000000126869
+1179648 0 2 0 0 5242880 5636096 5242880 0.05625 0 0.075 0 1.00000000080762
+1179648 0 2 0 0 5242880 5767168 5242880 0.05625 0 0.1 0 1.00000000187364
+1179648 0 2 0 0 5242880 5898240 5242880 0.05625 0 0.125 0 1.0000000009088
+1179648 0 2 0 0 5242880 6029312 5242880 0.05625 0 0.15 0 0.999999999825109
+1179648 0 2 0 0 5242880 6160384 5242880 0.05625 0 0.175 0 0.999999999778339
+1179648 0 2 0 0 5242880 6291456 5242880 0.05625 0 0.2 0 0.999999999977901
+1179648 0 2 0 0 5242880 6422528 5242880 0.05625 0 0.225 0 0.999999999920328
+1179648 0 2 0 0 5242880 6553600 5242880 0.05625 0 0.25 0 0.999999999864691
+
+
+# iteration 1310720
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 1 0 0 5242880 2621440 5242880 0.0625 0 -0.5 0 1.00000000000016
+1310720 0 1 0 0 5242880 2883584 5242880 0.0625 0 -0.45 0 0.999999999995216
+1310720 0 1 0 0 5242880 3145728 5242880 0.0625 0 -0.4 0 0.999999999995699
+1310720 0 1 0 0 5242880 3407872 5242880 0.0625 0 -0.35 0 1.00000000002603
+1310720 0 1 0 0 5242880 3670016 5242880 0.0625 0 -0.3 0 1.00000000003931
+1310720 0 1 0 0 5242880 3932160 5242880 0.0625 0 -0.25 0 0.999999999848368
+1310720 0 1 0 0 5242880 4194304 5242880 0.0625 0 -0.2 0 1.00000000005881
+1310720 0 1 0 0 5242880 4456448 5242880 0.0625 0 -0.15 0 0.999999999779366
+1310720 0 1 0 0 5242880 4718592 5242880 0.0625 0 -0.1 0 1.00000000176887
+1310720 0 1 0 0 5242880 4980736 5242880 0.0625 0 -0.05 0 1.00000000163742
+1310720 0 1 0 0 5242880 5242880 5242880 0.0625 0 0 0 1.00000000072855
+1310720 0 1 0 0 5242880 5505024 5242880 0.0625 0 0.05 0 1.00000000163742
+1310720 0 1 0 0 5242880 5767168 5242880 0.0625 0 0.1 0 1.00000000176887
+1310720 0 1 0 0 5242880 6029312 5242880 0.0625 0 0.15 0 0.999999999779366
+1310720 0 1 0 0 5242880 6291456 5242880 0.0625 0 0.2 0 1.00000000005881
+1310720 0 1 0 0 5242880 6553600 5242880 0.0625 0 0.25 0 0.999999999848368
+1310720 0 1 0 0 5242880 6815744 5242880 0.0625 0 0.3 0 1.00000000003931
+1310720 0 1 0 0 5242880 7077888 5242880 0.0625 0 0.35 0 1.00000000002603
+1310720 0 1 0 0 5242880 7340032 5242880 0.0625 0 0.4 0 0.999999999995699
+1310720 0 1 0 0 5242880 7602176 5242880 0.0625 0 0.45 0 0.999999999995216
+1310720 0 1 0 0 5242880 7864320 5242880 0.0625 0 0.5 0 1.00000000000016
+
+
+# iteration 1310720
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 2 0 0 5242880 3932160 5242880 0.0625 0 -0.25 0 0.999999999848368
+1310720 0 2 0 0 5242880 4063232 5242880 0.0625 0 -0.225 0 0.99999999995912
+1310720 0 2 0 0 5242880 4194304 5242880 0.0625 0 -0.2 0 1.00000000005881
+1310720 0 2 0 0 5242880 4325376 5242880 0.0625 0 -0.175 0 0.999999999807897
+1310720 0 2 0 0 5242880 4456448 5242880 0.0625 0 -0.15 0 0.999999999779366
+1310720 0 2 0 0 5242880 4587520 5242880 0.0625 0 -0.125 0 1.00000000076487
+1310720 0 2 0 0 5242880 4718592 5242880 0.0625 0 -0.1 0 1.00000000176887
+1310720 0 2 0 0 5242880 4849664 5242880 0.0625 0 -0.075 0 1.00000000108602
+1310720 0 2 0 0 5242880 4980736 5242880 0.0625 0 -0.05 0 1.00000000163742
+1310720 0 2 0 0 5242880 5111808 5242880 0.0625 0 -0.025 0 1.00000000054727
+1310720 0 2 0 0 5242880 5242880 5242880 0.0625 0 0 0 1.00000000072855
+1310720 0 2 0 0 5242880 5373952 5242880 0.0625 0 0.025 0 1.00000000054727
+1310720 0 2 0 0 5242880 5505024 5242880 0.0625 0 0.05 0 1.00000000163742
+1310720 0 2 0 0 5242880 5636096 5242880 0.0625 0 0.075 0 1.00000000108602
+1310720 0 2 0 0 5242880 5767168 5242880 0.0625 0 0.1 0 1.00000000176887
+1310720 0 2 0 0 5242880 5898240 5242880 0.0625 0 0.125 0 1.00000000076487
+1310720 0 2 0 0 5242880 6029312 5242880 0.0625 0 0.15 0 0.999999999779366
+1310720 0 2 0 0 5242880 6160384 5242880 0.0625 0 0.175 0 0.999999999807897
+1310720 0 2 0 0 5242880 6291456 5242880 0.0625 0 0.2 0 1.00000000005881
+1310720 0 2 0 0 5242880 6422528 5242880 0.0625 0 0.225 0 0.99999999995912
+1310720 0 2 0 0 5242880 6553600 5242880 0.0625 0 0.25 0 0.999999999848368
+
+
+# iteration 1441792
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 2 0 0 5242880 3932160 5242880 0.06875 0 -0.25 0 0.999999999837646
+1441792 0 2 0 0 5242880 4063232 5242880 0.06875 0 -0.225 0 1.00000000000483
+1441792 0 2 0 0 5242880 4194304 5242880 0.06875 0 -0.2 0 1.00000000014767
+1441792 0 2 0 0 5242880 4325376 5242880 0.06875 0 -0.175 0 0.999999999846531
+1441792 0 2 0 0 5242880 4456448 5242880 0.06875 0 -0.15 0 0.999999999744461
+1441792 0 2 0 0 5242880 4587520 5242880 0.06875 0 -0.125 0 1.00000000066039
+1441792 0 2 0 0 5242880 4718592 5242880 0.06875 0 -0.1 0 1.00000000170236
+1441792 0 2 0 0 5242880 4849664 5242880 0.06875 0 -0.075 0 1.00000000140117
+1441792 0 2 0 0 5242880 4980736 5242880 0.06875 0 -0.05 0 1.00000000205035
+1441792 0 2 0 0 5242880 5111808 5242880 0.06875 0 -0.025 0 1.00000000081595
+1441792 0 2 0 0 5242880 5242880 5242880 0.06875 0 0 0 1.00000000107976
+1441792 0 2 0 0 5242880 5373952 5242880 0.06875 0 0.025 0 1.00000000081595
+1441792 0 2 0 0 5242880 5505024 5242880 0.06875 0 0.05 0 1.00000000205035
+1441792 0 2 0 0 5242880 5636096 5242880 0.06875 0 0.075 0 1.00000000140117
+1441792 0 2 0 0 5242880 5767168 5242880 0.06875 0 0.1 0 1.00000000170236
+1441792 0 2 0 0 5242880 5898240 5242880 0.06875 0 0.125 0 1.00000000066039
+1441792 0 2 0 0 5242880 6029312 5242880 0.06875 0 0.15 0 0.999999999744461
+1441792 0 2 0 0 5242880 6160384 5242880 0.06875 0 0.175 0 0.999999999846531
+1441792 0 2 0 0 5242880 6291456 5242880 0.06875 0 0.2 0 1.00000000014767
+1441792 0 2 0 0 5242880 6422528 5242880 0.06875 0 0.225 0 1.00000000000483
+1441792 0 2 0 0 5242880 6553600 5242880 0.06875 0 0.25 0 0.999999999837646
+
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 5242880 0 5242880 0.075 0 -1 0 1
+1572864 0 0 0 0 5242880 524288 5242880 0.075 0 -0.9 0 1
+1572864 0 0 0 0 5242880 1048576 5242880 0.075 0 -0.8 0 1
+1572864 0 0 0 0 5242880 1572864 5242880 0.075 0 -0.7 0 1
+1572864 0 0 0 0 5242880 2097152 5242880 0.075 0 -0.6 0 0.999999999999962
+1572864 0 0 0 0 5242880 2621440 5242880 0.075 0 -0.5 0 1.0000000000004
+1572864 0 0 0 0 5242880 3145728 5242880 0.075 0 -0.4 0 0.99999999999281
+1572864 0 0 0 0 5242880 3670016 5242880 0.075 0 -0.3 0 1.00000000005299
+1572864 0 0 0 0 5242880 4194304 5242880 0.075 0 -0.2 0 1.00000000024572
+1572864 0 0 0 0 5242880 4718592 5242880 0.075 0 -0.1 0 1.00000000167165
+1572864 0 0 0 0 5242880 5242880 5242880 0.075 0 0 0 1.00000000152164
+1572864 0 0 0 0 5242880 5767168 5242880 0.075 0 0.1 0 1.00000000167165
+1572864 0 0 0 0 5242880 6291456 5242880 0.075 0 0.2 0 1.00000000024572
+1572864 0 0 0 0 5242880 6815744 5242880 0.075 0 0.3 0 1.00000000005299
+1572864 0 0 0 0 5242880 7340032 5242880 0.075 0 0.4 0 0.99999999999281
+1572864 0 0 0 0 5242880 7864320 5242880 0.075 0 0.5 0 1.0000000000004
+1572864 0 0 0 0 5242880 8388608 5242880 0.075 0 0.6 0 0.999999999999962
+1572864 0 0 0 0 5242880 8912896 5242880 0.075 0 0.7 0 1
+1572864 0 0 0 0 5242880 9437184 5242880 0.075 0 0.8 0 1
+1572864 0 0 0 0 5242880 9961472 5242880 0.075 0 0.9 0 1
+1572864 0 0 0 0 5242880 10485760 5242880 0.075 0 1 0 1
+
+
+# iteration 1572864
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 1 0 0 5242880 2621440 5242880 0.075 0 -0.5 0 1.0000000000004
+1572864 0 1 0 0 5242880 2883584 5242880 0.075 0 -0.45 0 0.999999999992871
+1572864 0 1 0 0 5242880 3145728 5242880 0.075 0 -0.4 0 0.99999999999281
+1572864 0 1 0 0 5242880 3407872 5242880 0.075 0 -0.35 0 1.00000000001038
+1572864 0 1 0 0 5242880 3670016 5242880 0.075 0 -0.3 0 1.00000000005299
+1572864 0 1 0 0 5242880 3932160 5242880 0.075 0 -0.25 0 1.000000000064
+1572864 0 1 0 0 5242880 4194304 5242880 0.075 0 -0.2 0 1.00000000024572
+1572864 0 1 0 0 5242880 4456448 5242880 0.075 0 -0.15 0 0.999999999716247
+1572864 0 1 0 0 5242880 4718592 5242880 0.075 0 -0.1 0 1.00000000167165
+1572864 0 1 0 0 5242880 4980736 5242880 0.075 0 -0.05 0 1.00000000250217
+1572864 0 1 0 0 5242880 5242880 5242880 0.075 0 0 0 1.00000000152164
+1572864 0 1 0 0 5242880 5505024 5242880 0.075 0 0.05 0 1.00000000250217
+1572864 0 1 0 0 5242880 5767168 5242880 0.075 0 0.1 0 1.00000000167165
+1572864 0 1 0 0 5242880 6029312 5242880 0.075 0 0.15 0 0.999999999716247
+1572864 0 1 0 0 5242880 6291456 5242880 0.075 0 0.2 0 1.00000000024572
+1572864 0 1 0 0 5242880 6553600 5242880 0.075 0 0.25 0 1.000000000064
+1572864 0 1 0 0 5242880 6815744 5242880 0.075 0 0.3 0 1.00000000005299
+1572864 0 1 0 0 5242880 7077888 5242880 0.075 0 0.35 0 1.00000000001038
+1572864 0 1 0 0 5242880 7340032 5242880 0.075 0 0.4 0 0.99999999999281
+1572864 0 1 0 0 5242880 7602176 5242880 0.075 0 0.45 0 0.999999999992871
+1572864 0 1 0 0 5242880 7864320 5242880 0.075 0 0.5 0 1.0000000000004
+
+
+# iteration 1572864
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 2 0 0 5242880 3932160 5242880 0.075 0 -0.25 0 1.000000000064
+1572864 0 2 0 0 5242880 4063232 5242880 0.075 0 -0.225 0 1.00000000018864
+1572864 0 2 0 0 5242880 4194304 5242880 0.075 0 -0.2 0 1.00000000024572
+1572864 0 2 0 0 5242880 4325376 5242880 0.075 0 -0.175 0 0.99999999987013
+1572864 0 2 0 0 5242880 4456448 5242880 0.075 0 -0.15 0 0.999999999716247
+1572864 0 2 0 0 5242880 4587520 5242880 0.075 0 -0.125 0 1.00000000060895
+1572864 0 2 0 0 5242880 4718592 5242880 0.075 0 -0.1 0 1.00000000167165
+1572864 0 2 0 0 5242880 4849664 5242880 0.075 0 -0.075 0 1.00000000174461
+1572864 0 2 0 0 5242880 4980736 5242880 0.075 0 -0.05 0 1.00000000250217
+1572864 0 2 0 0 5242880 5111808 5242880 0.075 0 -0.025 0 1.00000000115522
+1572864 0 2 0 0 5242880 5242880 5242880 0.075 0 0 0 1.00000000152164
+1572864 0 2 0 0 5242880 5373952 5242880 0.075 0 0.025 0 1.00000000115522
+1572864 0 2 0 0 5242880 5505024 5242880 0.075 0 0.05 0 1.00000000250217
+1572864 0 2 0 0 5242880 5636096 5242880 0.075 0 0.075 0 1.00000000174461
+1572864 0 2 0 0 5242880 5767168 5242880 0.075 0 0.1 0 1.00000000167165
+1572864 0 2 0 0 5242880 5898240 5242880 0.075 0 0.125 0 1.00000000060895
+1572864 0 2 0 0 5242880 6029312 5242880 0.075 0 0.15 0 0.999999999716247
+1572864 0 2 0 0 5242880 6160384 5242880 0.075 0 0.175 0 0.99999999987013
+1572864 0 2 0 0 5242880 6291456 5242880 0.075 0 0.2 0 1.00000000024572
+1572864 0 2 0 0 5242880 6422528 5242880 0.075 0 0.225 0 1.00000000018864
+1572864 0 2 0 0 5242880 6553600 5242880 0.075 0 0.25 0 1.000000000064
+
+
+# iteration 1703936
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 2 0 0 5242880 3932160 5242880 0.08125 0 -0.25 0 1.00000000009816
+1703936 0 2 0 0 5242880 4063232 5242880 0.08125 0 -0.225 0 1.00000000027139
+1703936 0 2 0 0 5242880 4194304 5242880 0.08125 0 -0.2 0 1.00000000035833
+1703936 0 2 0 0 5242880 4325376 5242880 0.08125 0 -0.175 0 0.99999999993576
+1703936 0 2 0 0 5242880 4456448 5242880 0.08125 0 -0.15 0 0.999999999707798
+1703936 0 2 0 0 5242880 4587520 5242880 0.08125 0 -0.125 0 1.00000000050288
+1703936 0 2 0 0 5242880 4718592 5242880 0.08125 0 -0.1 0 1.00000000167849
+1703936 0 2 0 0 5242880 4849664 5242880 0.08125 0 -0.075 0 1.00000000210511
+1703936 0 2 0 0 5242880 4980736 5242880 0.08125 0 -0.05 0 1.00000000298471
+1703936 0 2 0 0 5242880 5111808 5242880 0.08125 0 -0.025 0 1.00000000156541
+1703936 0 2 0 0 5242880 5242880 5242880 0.08125 0 0 0 1.00000000205505
+1703936 0 2 0 0 5242880 5373952 5242880 0.08125 0 0.025 0 1.00000000156541
+1703936 0 2 0 0 5242880 5505024 5242880 0.08125 0 0.05 0 1.00000000298471
+1703936 0 2 0 0 5242880 5636096 5242880 0.08125 0 0.075 0 1.00000000210511
+1703936 0 2 0 0 5242880 5767168 5242880 0.08125 0 0.1 0 1.00000000167849
+1703936 0 2 0 0 5242880 5898240 5242880 0.08125 0 0.125 0 1.00000000050288
+1703936 0 2 0 0 5242880 6029312 5242880 0.08125 0 0.15 0 0.999999999707798
+1703936 0 2 0 0 5242880 6160384 5242880 0.08125 0 0.175 0 0.99999999993576
+1703936 0 2 0 0 5242880 6291456 5242880 0.08125 0 0.2 0 1.00000000035833
+1703936 0 2 0 0 5242880 6422528 5242880 0.08125 0 0.225 0 1.00000000027139
+1703936 0 2 0 0 5242880 6553600 5242880 0.08125 0 0.25 0 1.00000000009816
+
+
+# iteration 1835008
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 1 0 0 5242880 2621440 5242880 0.0875 0 -0.5 0 1.00000000000087
+1835008 0 1 0 0 5242880 2883584 5242880 0.0875 0 -0.45 0 0.999999999991356
+1835008 0 1 0 0 5242880 3145728 5242880 0.0875 0 -0.4 0 0.999999999990733
+1835008 0 1 0 0 5242880 3407872 5242880 0.0875 0 -0.35 0 1.00000000001404
+1835008 0 1 0 0 5242880 3670016 5242880 0.0875 0 -0.3 0 1.00000000006281
+1835008 0 1 0 0 5242880 3932160 5242880 0.0875 0 -0.25 0 1.00000000008321
+1835008 0 1 0 0 5242880 4194304 5242880 0.0875 0 -0.2 0 1.00000000048371
+1835008 0 1 0 0 5242880 4456448 5242880 0.0875 0 -0.15 0 0.999999999714756
+1835008 0 1 0 0 5242880 4718592 5242880 0.0875 0 -0.1 0 1.00000000171941
+1835008 0 1 0 0 5242880 4980736 5242880 0.0875 0 -0.05 0 1.0000000034867
+1835008 0 1 0 0 5242880 5242880 5242880 0.0875 0 0 0 1.00000000267514
+1835008 0 1 0 0 5242880 5505024 5242880 0.0875 0 0.05 0 1.0000000034867
+1835008 0 1 0 0 5242880 5767168 5242880 0.0875 0 0.1 0 1.00000000171941
+1835008 0 1 0 0 5242880 6029312 5242880 0.0875 0 0.15 0 0.999999999714756
+1835008 0 1 0 0 5242880 6291456 5242880 0.0875 0 0.2 0 1.00000000048371
+1835008 0 1 0 0 5242880 6553600 5242880 0.0875 0 0.25 0 1.00000000008321
+1835008 0 1 0 0 5242880 6815744 5242880 0.0875 0 0.3 0 1.00000000006281
+1835008 0 1 0 0 5242880 7077888 5242880 0.0875 0 0.35 0 1.00000000001404
+1835008 0 1 0 0 5242880 7340032 5242880 0.0875 0 0.4 0 0.999999999990733
+1835008 0 1 0 0 5242880 7602176 5242880 0.0875 0 0.45 0 0.999999999991356
+1835008 0 1 0 0 5242880 7864320 5242880 0.0875 0 0.5 0 1.00000000000087
+
+
+# iteration 1835008
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 2 0 0 5242880 3932160 5242880 0.0875 0 -0.25 0 1.00000000008321
+1835008 0 2 0 0 5242880 4063232 5242880 0.0875 0 -0.225 0 1.00000000033279
+1835008 0 2 0 0 5242880 4194304 5242880 0.0875 0 -0.2 0 1.00000000048371
+1835008 0 2 0 0 5242880 4325376 5242880 0.0875 0 -0.175 0 0.999999999998976
+1835008 0 2 0 0 5242880 4456448 5242880 0.0875 0 -0.15 0 0.999999999714756
+1835008 0 2 0 0 5242880 4587520 5242880 0.0875 0 -0.125 0 1.00000000055857
+1835008 0 2 0 0 5242880 4718592 5242880 0.0875 0 -0.1 0 1.00000000171941
+1835008 0 2 0 0 5242880 4849664 5242880 0.0875 0 -0.075 0 1.00000000246804
+1835008 0 2 0 0 5242880 4980736 5242880 0.0875 0 -0.05 0 1.0000000034867
+1835008 0 2 0 0 5242880 5111808 5242880 0.0875 0 -0.025 0 1.00000000204188
+1835008 0 2 0 0 5242880 5242880 5242880 0.0875 0 0 0 1.00000000267514
+1835008 0 2 0 0 5242880 5373952 5242880 0.0875 0 0.025 0 1.00000000204188
+1835008 0 2 0 0 5242880 5505024 5242880 0.0875 0 0.05 0 1.0000000034867
+1835008 0 2 0 0 5242880 5636096 5242880 0.0875 0 0.075 0 1.00000000246804
+1835008 0 2 0 0 5242880 5767168 5242880 0.0875 0 0.1 0 1.00000000171941
+1835008 0 2 0 0 5242880 5898240 5242880 0.0875 0 0.125 0 1.00000000055857
+1835008 0 2 0 0 5242880 6029312 5242880 0.0875 0 0.15 0 0.999999999714756
+1835008 0 2 0 0 5242880 6160384 5242880 0.0875 0 0.175 0 0.999999999998976
+1835008 0 2 0 0 5242880 6291456 5242880 0.0875 0 0.2 0 1.00000000048371
+1835008 0 2 0 0 5242880 6422528 5242880 0.0875 0 0.225 0 1.00000000033279
+1835008 0 2 0 0 5242880 6553600 5242880 0.0875 0 0.25 0 1.00000000008321
+
+
+# iteration 1966080
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 2 0 0 5242880 3932160 5242880 0.09375 0 -0.25 0 1.00000000006939
+1966080 0 2 0 0 5242880 4063232 5242880 0.09375 0 -0.225 0 1.00000000039637
+1966080 0 2 0 0 5242880 4194304 5242880 0.09375 0 -0.2 0 1.00000000061474
+1966080 0 2 0 0 5242880 4325376 5242880 0.09375 0 -0.175 0 1.00000000010307
+1966080 0 2 0 0 5242880 4456448 5242880 0.09375 0 -0.15 0 0.99999999974855
+1966080 0 2 0 0 5242880 4587520 5242880 0.09375 0 -0.125 0 1.00000000046383
+1966080 0 2 0 0 5242880 4718592 5242880 0.09375 0 -0.1 0 1.00000000178245
+1966080 0 2 0 0 5242880 4849664 5242880 0.09375 0 -0.075 0 1.0000000028168
+1966080 0 2 0 0 5242880 4980736 5242880 0.09375 0 -0.05 0 1.0000000039935
+1966080 0 2 0 0 5242880 5111808 5242880 0.09375 0 -0.025 0 1.00000000257445
+1966080 0 2 0 0 5242880 5242880 5242880 0.09375 0 0 0 1.0000000033708
+1966080 0 2 0 0 5242880 5373952 5242880 0.09375 0 0.025 0 1.00000000257445
+1966080 0 2 0 0 5242880 5505024 5242880 0.09375 0 0.05 0 1.0000000039935
+1966080 0 2 0 0 5242880 5636096 5242880 0.09375 0 0.075 0 1.0000000028168
+1966080 0 2 0 0 5242880 5767168 5242880 0.09375 0 0.1 0 1.00000000178245
+1966080 0 2 0 0 5242880 5898240 5242880 0.09375 0 0.125 0 1.00000000046383
+1966080 0 2 0 0 5242880 6029312 5242880 0.09375 0 0.15 0 0.99999999974855
+1966080 0 2 0 0 5242880 6160384 5242880 0.09375 0 0.175 0 1.00000000010307
+1966080 0 2 0 0 5242880 6291456 5242880 0.09375 0 0.2 0 1.00000000061474
+1966080 0 2 0 0 5242880 6422528 5242880 0.09375 0 0.225 0 1.00000000039637
+1966080 0 2 0 0 5242880 6553600 5242880 0.09375 0 0.25 0 1.00000000006939
+
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 5242880 0 5242880 0.1 0 -1 0 1
+2097152 0 0 0 0 5242880 524288 5242880 0.1 0 -0.9 0 1
+2097152 0 0 0 0 5242880 1048576 5242880 0.1 0 -0.8 0 0.999999999999999
+2097152 0 0 0 0 5242880 1572864 5242880 0.1 0 -0.7 0 1.00000000000001
+2097152 0 0 0 0 5242880 2097152 5242880 0.1 0 -0.6 0 0.999999999999814
+2097152 0 0 0 0 5242880 2621440 5242880 0.1 0 -0.5 0 1.00000000000152
+2097152 0 0 0 0 5242880 3145728 5242880 0.1 0 -0.4 0 0.999999999988956
+2097152 0 0 0 0 5242880 3670016 5242880 0.1 0 -0.3 0 1.00000000007015
+2097152 0 0 0 0 5242880 4194304 5242880 0.1 0 -0.2 0 1.00000000075378
+2097152 0 0 0 0 5242880 4718592 5242880 0.1 0 -0.1 0 1.00000000186308
+2097152 0 0 0 0 5242880 5242880 5242880 0.1 0 0 0 1.00000000412429
+2097152 0 0 0 0 5242880 5767168 5242880 0.1 0 0.1 0 1.00000000186308
+2097152 0 0 0 0 5242880 6291456 5242880 0.1 0 0.2 0 1.00000000075378
+2097152 0 0 0 0 5242880 6815744 5242880 0.1 0 0.3 0 1.00000000007015
+2097152 0 0 0 0 5242880 7340032 5242880 0.1 0 0.4 0 0.999999999988956
+2097152 0 0 0 0 5242880 7864320 5242880 0.1 0 0.5 0 1.00000000000152
+2097152 0 0 0 0 5242880 8388608 5242880 0.1 0 0.6 0 0.999999999999814
+2097152 0 0 0 0 5242880 8912896 5242880 0.1 0 0.7 0 1.00000000000001
+2097152 0 0 0 0 5242880 9437184 5242880 0.1 0 0.8 0 0.999999999999999
+2097152 0 0 0 0 5242880 9961472 5242880 0.1 0 0.9 0 1
+2097152 0 0 0 0 5242880 10485760 5242880 0.1 0 1 0 1
+
+
+# iteration 2097152
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 1 0 0 5242880 2621440 5242880 0.1 0 -0.5 0 1.00000000000152
+2097152 0 1 0 0 5242880 2883584 5242880 0.1 0 -0.45 0 0.999999999990269
+2097152 0 1 0 0 5242880 3145728 5242880 0.1 0 -0.4 0 0.999999999988956
+2097152 0 1 0 0 5242880 3407872 5242880 0.1 0 -0.35 0 0.999999999986041
+2097152 0 1 0 0 5242880 3670016 5242880 0.1 0 -0.3 0 1.00000000007015
+2097152 0 1 0 0 5242880 3932160 5242880 0.1 0 -0.25 0 1.00000000034771
+2097152 0 1 0 0 5242880 4194304 5242880 0.1 0 -0.2 0 1.00000000075378
+2097152 0 1 0 0 5242880 4456448 5242880 0.1 0 -0.15 0 0.999999999805372
+2097152 0 1 0 0 5242880 4718592 5242880 0.1 0 -0.1 0 1.00000000186308
+2097152 0 1 0 0 5242880 4980736 5242880 0.1 0 -0.05 0 1.00000000448718
+2097152 0 1 0 0 5242880 5242880 5242880 0.1 0 0 0 1.00000000412429
+2097152 0 1 0 0 5242880 5505024 5242880 0.1 0 0.05 0 1.00000000448718
+2097152 0 1 0 0 5242880 5767168 5242880 0.1 0 0.1 0 1.00000000186308
+2097152 0 1 0 0 5242880 6029312 5242880 0.1 0 0.15 0 0.999999999805372
+2097152 0 1 0 0 5242880 6291456 5242880 0.1 0 0.2 0 1.00000000075378
+2097152 0 1 0 0 5242880 6553600 5242880 0.1 0 0.25 0 1.00000000034771
+2097152 0 1 0 0 5242880 6815744 5242880 0.1 0 0.3 0 1.00000000007015
+2097152 0 1 0 0 5242880 7077888 5242880 0.1 0 0.35 0 0.999999999986041
+2097152 0 1 0 0 5242880 7340032 5242880 0.1 0 0.4 0 0.999999999988956
+2097152 0 1 0 0 5242880 7602176 5242880 0.1 0 0.45 0 0.999999999990269
+2097152 0 1 0 0 5242880 7864320 5242880 0.1 0 0.5 0 1.00000000000152
+
+
+# iteration 2097152
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 2 0 0 5242880 3932160 5242880 0.1 0 -0.25 0 1.00000000034771
+2097152 0 2 0 0 5242880 4063232 5242880 0.1 0 -0.225 0 1.00000000062737
+2097152 0 2 0 0 5242880 4194304 5242880 0.1 0 -0.2 0 1.00000000075378
+2097152 0 2 0 0 5242880 4325376 5242880 0.1 0 -0.175 0 1.00000000017635
+2097152 0 2 0 0 5242880 4456448 5242880 0.1 0 -0.15 0 0.999999999805372
+2097152 0 2 0 0 5242880 4587520 5242880 0.1 0 -0.125 0 1.00000000061094
+2097152 0 2 0 0 5242880 4718592 5242880 0.1 0 -0.1 0 1.00000000186308
+2097152 0 2 0 0 5242880 4849664 5242880 0.1 0 -0.075 0 1.00000000313278
+2097152 0 2 0 0 5242880 4980736 5242880 0.1 0 -0.05 0 1.00000000448718
+2097152 0 2 0 0 5242880 5111808 5242880 0.1 0 -0.025 0 1.00000000314711
+2097152 0 2 0 0 5242880 5242880 5242880 0.1 0 0 0 1.00000000412429
+2097152 0 2 0 0 5242880 5373952 5242880 0.1 0 0.025 0 1.00000000314711
+2097152 0 2 0 0 5242880 5505024 5242880 0.1 0 0.05 0 1.00000000448718
+2097152 0 2 0 0 5242880 5636096 5242880 0.1 0 0.075 0 1.00000000313278
+2097152 0 2 0 0 5242880 5767168 5242880 0.1 0 0.1 0 1.00000000186308
+2097152 0 2 0 0 5242880 5898240 5242880 0.1 0 0.125 0 1.00000000061094
+2097152 0 2 0 0 5242880 6029312 5242880 0.1 0 0.15 0 0.999999999805372
+2097152 0 2 0 0 5242880 6160384 5242880 0.1 0 0.175 0 1.00000000017635
+2097152 0 2 0 0 5242880 6291456 5242880 0.1 0 0.2 0 1.00000000075378
+2097152 0 2 0 0 5242880 6422528 5242880 0.1 0 0.225 0 1.00000000062737
+2097152 0 2 0 0 5242880 6553600 5242880 0.1 0 0.25 0 1.00000000034771
+
+
diff --git a/Carpet/CarpetInterp/test/waveinterp/phit.z.asc b/Carpet/CarpetInterp/test/waveinterp/phit.z.asc
new file mode 100644
index 000000000..33a83eade
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phit.z.asc
@@ -0,0 +1,808 @@
+# WAVEMOL::phit z (phit)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 5242880 5242880 0 0 0 0 -1 1
+0 0 0 0 0 5242880 5242880 524288 0 0 0 -0.9 1
+0 0 0 0 0 5242880 5242880 1048576 0 0 0 -0.8 1
+0 0 0 0 0 5242880 5242880 1572864 0 0 0 -0.7 1
+0 0 0 0 0 5242880 5242880 2097152 0 0 0 -0.6 1
+0 0 0 0 0 5242880 5242880 2621440 0 0 0 -0.5 1
+0 0 0 0 0 5242880 5242880 3145728 0 0 0 -0.4 1
+0 0 0 0 0 5242880 5242880 3670016 0 0 0 -0.3 1
+0 0 0 0 0 5242880 5242880 4194304 0 0 0 -0.2 1
+0 0 0 0 0 5242880 5242880 4718592 0 0 0 -0.1 1
+0 0 0 0 0 5242880 5242880 5242880 0 0 0 0 1
+0 0 0 0 0 5242880 5242880 5767168 0 0 0 0.1 1
+0 0 0 0 0 5242880 5242880 6291456 0 0 0 0.2 1
+0 0 0 0 0 5242880 5242880 6815744 0 0 0 0.3 1
+0 0 0 0 0 5242880 5242880 7340032 0 0 0 0.4 1
+0 0 0 0 0 5242880 5242880 7864320 0 0 0 0.5 1
+0 0 0 0 0 5242880 5242880 8388608 0 0 0 0.6 1
+0 0 0 0 0 5242880 5242880 8912896 0 0 0 0.7 1
+0 0 0 0 0 5242880 5242880 9437184 0 0 0 0.8 1
+0 0 0 0 0 5242880 5242880 9961472 0 0 0 0.9 1
+0 0 0 0 0 5242880 5242880 10485760 0 0 0 1 1
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 5242880 5242880 2621440 0 0 0 -0.5 1
+0 0 1 0 0 5242880 5242880 2883584 0 0 0 -0.45 1
+0 0 1 0 0 5242880 5242880 3145728 0 0 0 -0.4 1
+0 0 1 0 0 5242880 5242880 3407872 0 0 0 -0.35 1
+0 0 1 0 0 5242880 5242880 3670016 0 0 0 -0.3 1
+0 0 1 0 0 5242880 5242880 3932160 0 0 0 -0.25 1
+0 0 1 0 0 5242880 5242880 4194304 0 0 0 -0.2 1
+0 0 1 0 0 5242880 5242880 4456448 0 0 0 -0.15 1
+0 0 1 0 0 5242880 5242880 4718592 0 0 0 -0.1 1
+0 0 1 0 0 5242880 5242880 4980736 0 0 0 -0.05 1
+0 0 1 0 0 5242880 5242880 5242880 0 0 0 0 1
+0 0 1 0 0 5242880 5242880 5505024 0 0 0 0.05 1
+0 0 1 0 0 5242880 5242880 5767168 0 0 0 0.1 1
+0 0 1 0 0 5242880 5242880 6029312 0 0 0 0.15 1
+0 0 1 0 0 5242880 5242880 6291456 0 0 0 0.2 1
+0 0 1 0 0 5242880 5242880 6553600 0 0 0 0.25 1
+0 0 1 0 0 5242880 5242880 6815744 0 0 0 0.3 1
+0 0 1 0 0 5242880 5242880 7077888 0 0 0 0.35 1
+0 0 1 0 0 5242880 5242880 7340032 0 0 0 0.4 1
+0 0 1 0 0 5242880 5242880 7602176 0 0 0 0.45 1
+0 0 1 0 0 5242880 5242880 7864320 0 0 0 0.5 1
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 5242880 5242880 3932160 0 0 0 -0.25 1
+0 0 2 0 0 5242880 5242880 4063232 0 0 0 -0.225 1
+0 0 2 0 0 5242880 5242880 4194304 0 0 0 -0.2 1
+0 0 2 0 0 5242880 5242880 4325376 0 0 0 -0.175 1
+0 0 2 0 0 5242880 5242880 4456448 0 0 0 -0.15 1
+0 0 2 0 0 5242880 5242880 4587520 0 0 0 -0.125 1
+0 0 2 0 0 5242880 5242880 4718592 0 0 0 -0.1 1
+0 0 2 0 0 5242880 5242880 4849664 0 0 0 -0.075 1
+0 0 2 0 0 5242880 5242880 4980736 0 0 0 -0.05 1
+0 0 2 0 0 5242880 5242880 5111808 0 0 0 -0.025 1
+0 0 2 0 0 5242880 5242880 5242880 0 0 0 0 1
+0 0 2 0 0 5242880 5242880 5373952 0 0 0 0.025 1
+0 0 2 0 0 5242880 5242880 5505024 0 0 0 0.05 1
+0 0 2 0 0 5242880 5242880 5636096 0 0 0 0.075 1
+0 0 2 0 0 5242880 5242880 5767168 0 0 0 0.1 1
+0 0 2 0 0 5242880 5242880 5898240 0 0 0 0.125 1
+0 0 2 0 0 5242880 5242880 6029312 0 0 0 0.15 1
+0 0 2 0 0 5242880 5242880 6160384 0 0 0 0.175 1
+0 0 2 0 0 5242880 5242880 6291456 0 0 0 0.2 1
+0 0 2 0 0 5242880 5242880 6422528 0 0 0 0.225 1
+0 0 2 0 0 5242880 5242880 6553600 0 0 0 0.25 1
+
+
+# iteration 131072
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 2 0 0 5242880 5242880 3932160 0.00625 0 0 -0.25 1
+131072 0 2 0 0 5242880 5242880 4063232 0.00625 0 0 -0.225 1
+131072 0 2 0 0 5242880 5242880 4194304 0.00625 0 0 -0.2 1
+131072 0 2 0 0 5242880 5242880 4325376 0.00625 0 0 -0.175 1
+131072 0 2 0 0 5242880 5242880 4456448 0.00625 0 0 -0.15 1
+131072 0 2 0 0 5242880 5242880 4587520 0.00625 0 0 -0.125 1
+131072 0 2 0 0 5242880 5242880 4718592 0.00625 0 0 -0.1 1
+131072 0 2 0 0 5242880 5242880 4849664 0.00625 0 0 -0.075 1
+131072 0 2 0 0 5242880 5242880 4980736 0.00625 0 0 -0.05 1
+131072 0 2 0 0 5242880 5242880 5111808 0.00625 0 0 -0.025 1
+131072 0 2 0 0 5242880 5242880 5242880 0.00625 0 0 0 1
+131072 0 2 0 0 5242880 5242880 5373952 0.00625 0 0 0.025 1
+131072 0 2 0 0 5242880 5242880 5505024 0.00625 0 0 0.05 1
+131072 0 2 0 0 5242880 5242880 5636096 0.00625 0 0 0.075 1
+131072 0 2 0 0 5242880 5242880 5767168 0.00625 0 0 0.1 1
+131072 0 2 0 0 5242880 5242880 5898240 0.00625 0 0 0.125 1
+131072 0 2 0 0 5242880 5242880 6029312 0.00625 0 0 0.15 1
+131072 0 2 0 0 5242880 5242880 6160384 0.00625 0 0 0.175 1
+131072 0 2 0 0 5242880 5242880 6291456 0.00625 0 0 0.2 1
+131072 0 2 0 0 5242880 5242880 6422528 0.00625 0 0 0.225 1
+131072 0 2 0 0 5242880 5242880 6553600 0.00625 0 0 0.25 1
+
+
+# iteration 262144
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 1 0 0 5242880 5242880 2621440 0.0125 0 0 -0.5 1
+262144 0 1 0 0 5242880 5242880 2883584 0.0125 0 0 -0.45 1
+262144 0 1 0 0 5242880 5242880 3145728 0.0125 0 0 -0.4 1
+262144 0 1 0 0 5242880 5242880 3407872 0.0125 0 0 -0.35 1
+262144 0 1 0 0 5242880 5242880 3670016 0.0125 0 0 -0.3 1
+262144 0 1 0 0 5242880 5242880 3932160 0.0125 0 0 -0.25 1
+262144 0 1 0 0 5242880 5242880 4194304 0.0125 0 0 -0.2 1
+262144 0 1 0 0 5242880 5242880 4456448 0.0125 0 0 -0.15 1
+262144 0 1 0 0 5242880 5242880 4718592 0.0125 0 0 -0.1 1.00000000277135
+262144 0 1 0 0 5242880 5242880 4980736 0.0125 0 0 -0.05 1.00000000000728
+262144 0 1 0 0 5242880 5242880 5242880 0.0125 0 0 0 1
+262144 0 1 0 0 5242880 5242880 5505024 0.0125 0 0 0.05 1.00000000000728
+262144 0 1 0 0 5242880 5242880 5767168 0.0125 0 0 0.1 1.00000000277135
+262144 0 1 0 0 5242880 5242880 6029312 0.0125 0 0 0.15 1
+262144 0 1 0 0 5242880 5242880 6291456 0.0125 0 0 0.2 1
+262144 0 1 0 0 5242880 5242880 6553600 0.0125 0 0 0.25 1
+262144 0 1 0 0 5242880 5242880 6815744 0.0125 0 0 0.3 1
+262144 0 1 0 0 5242880 5242880 7077888 0.0125 0 0 0.35 1
+262144 0 1 0 0 5242880 5242880 7340032 0.0125 0 0 0.4 1
+262144 0 1 0 0 5242880 5242880 7602176 0.0125 0 0 0.45 1
+262144 0 1 0 0 5242880 5242880 7864320 0.0125 0 0 0.5 1
+
+
+# iteration 262144
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 2 0 0 5242880 5242880 3932160 0.0125 0 0 -0.25 1
+262144 0 2 0 0 5242880 5242880 4063232 0.0125 0 0 -0.225 1
+262144 0 2 0 0 5242880 5242880 4194304 0.0125 0 0 -0.2 1
+262144 0 2 0 0 5242880 5242880 4325376 0.0125 0 0 -0.175 0.999999999826791
+262144 0 2 0 0 5242880 5242880 4456448 0.0125 0 0 -0.15 1
+262144 0 2 0 0 5242880 5242880 4587520 0.0125 0 0 -0.125 1.00000000155843
+262144 0 2 0 0 5242880 5242880 4718592 0.0125 0 0 -0.1 1.00000000277135
+262144 0 2 0 0 5242880 5242880 4849664 0.0125 0 0 -0.075 0.999999999998383
+262144 0 2 0 0 5242880 5242880 4980736 0.0125 0 0 -0.05 1.00000000000728
+262144 0 2 0 0 5242880 5242880 5111808 0.0125 0 0 -0.025 1
+262144 0 2 0 0 5242880 5242880 5242880 0.0125 0 0 0 1
+262144 0 2 0 0 5242880 5242880 5373952 0.0125 0 0 0.025 1
+262144 0 2 0 0 5242880 5242880 5505024 0.0125 0 0 0.05 1.00000000000728
+262144 0 2 0 0 5242880 5242880 5636096 0.0125 0 0 0.075 0.999999999998383
+262144 0 2 0 0 5242880 5242880 5767168 0.0125 0 0 0.1 1.00000000277135
+262144 0 2 0 0 5242880 5242880 5898240 0.0125 0 0 0.125 1.00000000155843
+262144 0 2 0 0 5242880 5242880 6029312 0.0125 0 0 0.15 1
+262144 0 2 0 0 5242880 5242880 6160384 0.0125 0 0 0.175 0.999999999826791
+262144 0 2 0 0 5242880 5242880 6291456 0.0125 0 0 0.2 1
+262144 0 2 0 0 5242880 5242880 6422528 0.0125 0 0 0.225 1
+262144 0 2 0 0 5242880 5242880 6553600 0.0125 0 0 0.25 1
+
+
+# iteration 393216
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 2 0 0 5242880 5242880 3932160 0.01875 0 0 -0.25 1
+393216 0 2 0 0 5242880 5242880 4063232 0.01875 0 0 -0.225 0.999999999945108
+393216 0 2 0 0 5242880 5242880 4194304 0.01875 0 0 -0.2 0.999999999902543
+393216 0 2 0 0 5242880 5242880 4325376 0.01875 0 0 -0.175 0.99999999974986
+393216 0 2 0 0 5242880 5242880 4456448 0.01875 0 0 -0.15 1.00000000000116
+393216 0 2 0 0 5242880 5242880 4587520 0.01875 0 0 -0.125 1.00000000176809
+393216 0 2 0 0 5242880 5242880 4718592 0.01875 0 0 -0.1 1.00000000270433
+393216 0 2 0 0 5242880 5242880 4849664 0.01875 0 0 -0.075 1.00000000000657
+393216 0 2 0 0 5242880 5242880 4980736 0.01875 0 0 -0.05 1.00000000005092
+393216 0 2 0 0 5242880 5242880 5111808 0.01875 0 0 -0.025 1.00000000000043
+393216 0 2 0 0 5242880 5242880 5242880 0.01875 0 0 0 1.00000000000068
+393216 0 2 0 0 5242880 5242880 5373952 0.01875 0 0 0.025 1.00000000000043
+393216 0 2 0 0 5242880 5242880 5505024 0.01875 0 0 0.05 1.00000000005092
+393216 0 2 0 0 5242880 5242880 5636096 0.01875 0 0 0.075 1.00000000000657
+393216 0 2 0 0 5242880 5242880 5767168 0.01875 0 0 0.1 1.00000000270433
+393216 0 2 0 0 5242880 5242880 5898240 0.01875 0 0 0.125 1.00000000176809
+393216 0 2 0 0 5242880 5242880 6029312 0.01875 0 0 0.15 1.00000000000116
+393216 0 2 0 0 5242880 5242880 6160384 0.01875 0 0 0.175 0.99999999974986
+393216 0 2 0 0 5242880 5242880 6291456 0.01875 0 0 0.2 0.999999999902543
+393216 0 2 0 0 5242880 5242880 6422528 0.01875 0 0 0.225 0.999999999945108
+393216 0 2 0 0 5242880 5242880 6553600 0.01875 0 0 0.25 1
+
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 5242880 5242880 0 0.025 0 0 -1 1
+524288 0 0 0 0 5242880 5242880 524288 0.025 0 0 -0.9 1
+524288 0 0 0 0 5242880 5242880 1048576 0.025 0 0 -0.8 1
+524288 0 0 0 0 5242880 5242880 1572864 0.025 0 0 -0.7 1
+524288 0 0 0 0 5242880 5242880 2097152 0.025 0 0 -0.6 1
+524288 0 0 0 0 5242880 5242880 2621440 0.025 0 0 -0.5 1
+524288 0 0 0 0 5242880 5242880 3145728 0.025 0 0 -0.4 1
+524288 0 0 0 0 5242880 5242880 3670016 0.025 0 0 -0.3 1
+524288 0 0 0 0 5242880 5242880 4194304 0.025 0 0 -0.2 0.999999999740114
+524288 0 0 0 0 5242880 5242880 4718592 0.025 0 0 -0.1 1.00000000258949
+524288 0 0 0 0 5242880 5242880 5242880 0.025 0 0 0 1.0000000000064
+524288 0 0 0 0 5242880 5242880 5767168 0.025 0 0 0.1 1.00000000258949
+524288 0 0 0 0 5242880 5242880 6291456 0.025 0 0 0.2 0.999999999740114
+524288 0 0 0 0 5242880 5242880 6815744 0.025 0 0 0.3 1
+524288 0 0 0 0 5242880 5242880 7340032 0.025 0 0 0.4 1
+524288 0 0 0 0 5242880 5242880 7864320 0.025 0 0 0.5 1
+524288 0 0 0 0 5242880 5242880 8388608 0.025 0 0 0.6 1
+524288 0 0 0 0 5242880 5242880 8912896 0.025 0 0 0.7 1
+524288 0 0 0 0 5242880 5242880 9437184 0.025 0 0 0.8 1
+524288 0 0 0 0 5242880 5242880 9961472 0.025 0 0 0.9 1
+524288 0 0 0 0 5242880 5242880 10485760 0.025 0 0 1 1
+
+
+# iteration 524288
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 1 0 0 5242880 5242880 2621440 0.025 0 0 -0.5 1
+524288 0 1 0 0 5242880 5242880 2883584 0.025 0 0 -0.45 1
+524288 0 1 0 0 5242880 5242880 3145728 0.025 0 0 -0.4 1
+524288 0 1 0 0 5242880 5242880 3407872 0.025 0 0 -0.35 1.00000000001624
+524288 0 1 0 0 5242880 5242880 3670016 0.025 0 0 -0.3 1
+524288 0 1 0 0 5242880 5242880 3932160 0.025 0 0 -0.25 0.999999999691971
+524288 0 1 0 0 5242880 5242880 4194304 0.025 0 0 -0.2 0.999999999740114
+524288 0 1 0 0 5242880 5242880 4456448 0.025 0 0 -0.15 1.0000000000031
+524288 0 1 0 0 5242880 5242880 4718592 0.025 0 0 -0.1 1.00000000258949
+524288 0 1 0 0 5242880 5242880 4980736 0.025 0 0 -0.05 1.00000000013846
+524288 0 1 0 0 5242880 5242880 5242880 0.025 0 0 0 1.0000000000064
+524288 0 1 0 0 5242880 5242880 5505024 0.025 0 0 0.05 1.00000000013846
+524288 0 1 0 0 5242880 5242880 5767168 0.025 0 0 0.1 1.00000000258949
+524288 0 1 0 0 5242880 5242880 6029312 0.025 0 0 0.15 1.0000000000031
+524288 0 1 0 0 5242880 5242880 6291456 0.025 0 0 0.2 0.999999999740114
+524288 0 1 0 0 5242880 5242880 6553600 0.025 0 0 0.25 0.999999999691971
+524288 0 1 0 0 5242880 5242880 6815744 0.025 0 0 0.3 1
+524288 0 1 0 0 5242880 5242880 7077888 0.025 0 0 0.35 1.00000000001624
+524288 0 1 0 0 5242880 5242880 7340032 0.025 0 0 0.4 1
+524288 0 1 0 0 5242880 5242880 7602176 0.025 0 0 0.45 1
+524288 0 1 0 0 5242880 5242880 7864320 0.025 0 0 0.5 1
+
+
+# iteration 524288
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 2 0 0 5242880 5242880 3932160 0.025 0 0 -0.25 0.999999999691971
+524288 0 2 0 0 5242880 5242880 4063232 0.025 0 0 -0.225 0.999999999680354
+524288 0 2 0 0 5242880 5242880 4194304 0.025 0 0 -0.2 0.999999999740114
+524288 0 2 0 0 5242880 5242880 4325376 0.025 0 0 -0.175 0.999999999712965
+524288 0 2 0 0 5242880 5242880 4456448 0.025 0 0 -0.15 1.0000000000031
+524288 0 2 0 0 5242880 5242880 4587520 0.025 0 0 -0.125 1.00000000146592
+524288 0 2 0 0 5242880 5242880 4718592 0.025 0 0 -0.1 1.00000000258949
+524288 0 2 0 0 5242880 5242880 4849664 0.025 0 0 -0.075 1.00000000004511
+524288 0 2 0 0 5242880 5242880 4980736 0.025 0 0 -0.05 1.00000000013846
+524288 0 2 0 0 5242880 5242880 5111808 0.025 0 0 -0.025 1.00000000000435
+524288 0 2 0 0 5242880 5242880 5242880 0.025 0 0 0 1.0000000000064
+524288 0 2 0 0 5242880 5242880 5373952 0.025 0 0 0.025 1.00000000000435
+524288 0 2 0 0 5242880 5242880 5505024 0.025 0 0 0.05 1.00000000013846
+524288 0 2 0 0 5242880 5242880 5636096 0.025 0 0 0.075 1.00000000004511
+524288 0 2 0 0 5242880 5242880 5767168 0.025 0 0 0.1 1.00000000258949
+524288 0 2 0 0 5242880 5242880 5898240 0.025 0 0 0.125 1.00000000146592
+524288 0 2 0 0 5242880 5242880 6029312 0.025 0 0 0.15 1.0000000000031
+524288 0 2 0 0 5242880 5242880 6160384 0.025 0 0 0.175 0.999999999712965
+524288 0 2 0 0 5242880 5242880 6291456 0.025 0 0 0.2 0.999999999740114
+524288 0 2 0 0 5242880 5242880 6422528 0.025 0 0 0.225 0.999999999680354
+524288 0 2 0 0 5242880 5242880 6553600 0.025 0 0 0.25 0.999999999691971
+
+
+# iteration 655360
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 2 0 0 5242880 5242880 3932160 0.03125 0 0 -0.25 0.999999999640443
+655360 0 2 0 0 5242880 5242880 4063232 0.03125 0 0 -0.225 0.999999999647753
+655360 0 2 0 0 5242880 5242880 4194304 0.03125 0 0 -0.2 0.999999999732034
+655360 0 2 0 0 5242880 5242880 4325376 0.03125 0 0 -0.175 0.999999999702523
+655360 0 2 0 0 5242880 5242880 4456448 0.03125 0 0 -0.15 0.999999999984606
+655360 0 2 0 0 5242880 5242880 4587520 0.03125 0 0 -0.125 1.00000000144041
+655360 0 2 0 0 5242880 5242880 4718592 0.03125 0 0 -0.1 1.00000000246101
+655360 0 2 0 0 5242880 5242880 4849664 0.03125 0 0 -0.075 1.00000000011784
+655360 0 2 0 0 5242880 5242880 4980736 0.03125 0 0 -0.05 1.00000000027064
+655360 0 2 0 0 5242880 5242880 5111808 0.03125 0 0 -0.025 1.00000000001744
+655360 0 2 0 0 5242880 5242880 5242880 0.03125 0 0 0 1.00000000002479
+655360 0 2 0 0 5242880 5242880 5373952 0.03125 0 0 0.025 1.00000000001744
+655360 0 2 0 0 5242880 5242880 5505024 0.03125 0 0 0.05 1.00000000027064
+655360 0 2 0 0 5242880 5242880 5636096 0.03125 0 0 0.075 1.00000000011784
+655360 0 2 0 0 5242880 5242880 5767168 0.03125 0 0 0.1 1.00000000246101
+655360 0 2 0 0 5242880 5242880 5898240 0.03125 0 0 0.125 1.00000000144041
+655360 0 2 0 0 5242880 5242880 6029312 0.03125 0 0 0.15 0.999999999984606
+655360 0 2 0 0 5242880 5242880 6160384 0.03125 0 0 0.175 0.999999999702523
+655360 0 2 0 0 5242880 5242880 6291456 0.03125 0 0 0.2 0.999999999732034
+655360 0 2 0 0 5242880 5242880 6422528 0.03125 0 0 0.225 0.999999999647753
+655360 0 2 0 0 5242880 5242880 6553600 0.03125 0 0 0.25 0.999999999640443
+
+
+# iteration 786432
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 1 0 0 5242880 5242880 2621440 0.0375 0 0 -0.5 1.00000000000001
+786432 0 1 0 0 5242880 5242880 2883584 0.0375 0 0 -0.45 0.999999999998945
+786432 0 1 0 0 5242880 5242880 3145728 0.0375 0 0 -0.4 0.999999999999198
+786432 0 1 0 0 5242880 5242880 3407872 0.0375 0 0 -0.35 1.00000000002395
+786432 0 1 0 0 5242880 5242880 3670016 0.0375 0 0 -0.3 1.00000000000972
+786432 0 1 0 0 5242880 5242880 3932160 0.0375 0 0 -0.25 0.99999999965724
+786432 0 1 0 0 5242880 5242880 4194304 0.0375 0 0 -0.2 0.999999999805198
+786432 0 1 0 0 5242880 5242880 4456448 0.0375 0 0 -0.15 0.999999999952753
+786432 0 1 0 0 5242880 5242880 4718592 0.0375 0 0 -0.1 1.00000000230525
+786432 0 1 0 0 5242880 5242880 4980736 0.0375 0 0 -0.05 1.00000000044868
+786432 0 1 0 0 5242880 5242880 5242880 0.0375 0 0 0 1.00000000006647
+786432 0 1 0 0 5242880 5242880 5505024 0.0375 0 0 0.05 1.00000000044868
+786432 0 1 0 0 5242880 5242880 5767168 0.0375 0 0 0.1 1.00000000230525
+786432 0 1 0 0 5242880 5242880 6029312 0.0375 0 0 0.15 0.999999999952753
+786432 0 1 0 0 5242880 5242880 6291456 0.0375 0 0 0.2 0.999999999805198
+786432 0 1 0 0 5242880 5242880 6553600 0.0375 0 0 0.25 0.99999999965724
+786432 0 1 0 0 5242880 5242880 6815744 0.0375 0 0 0.3 1.00000000000972
+786432 0 1 0 0 5242880 5242880 7077888 0.0375 0 0 0.35 1.00000000002395
+786432 0 1 0 0 5242880 5242880 7340032 0.0375 0 0 0.4 0.999999999999198
+786432 0 1 0 0 5242880 5242880 7602176 0.0375 0 0 0.45 0.999999999998945
+786432 0 1 0 0 5242880 5242880 7864320 0.0375 0 0 0.5 1.00000000000001
+
+
+# iteration 786432
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 2 0 0 5242880 5242880 3932160 0.0375 0 0 -0.25 0.99999999965724
+786432 0 2 0 0 5242880 5242880 4063232 0.0375 0 0 -0.225 0.999999999699967
+786432 0 2 0 0 5242880 5242880 4194304 0.0375 0 0 -0.2 0.999999999805198
+786432 0 2 0 0 5242880 5242880 4325376 0.0375 0 0 -0.175 0.999999999741191
+786432 0 2 0 0 5242880 5242880 4456448 0.0375 0 0 -0.15 0.999999999952753
+786432 0 2 0 0 5242880 5242880 4587520 0.0375 0 0 -0.125 1.00000000125426
+786432 0 2 0 0 5242880 5242880 4718592 0.0375 0 0 -0.1 1.00000000230525
+786432 0 2 0 0 5242880 5242880 4849664 0.0375 0 0 -0.075 1.00000000022745
+786432 0 2 0 0 5242880 5242880 4980736 0.0375 0 0 -0.05 1.00000000044868
+786432 0 2 0 0 5242880 5242880 5111808 0.0375 0 0 -0.025 1.00000000004778
+786432 0 2 0 0 5242880 5242880 5242880 0.0375 0 0 0 1.00000000006647
+786432 0 2 0 0 5242880 5242880 5373952 0.0375 0 0 0.025 1.00000000004778
+786432 0 2 0 0 5242880 5242880 5505024 0.0375 0 0 0.05 1.00000000044868
+786432 0 2 0 0 5242880 5242880 5636096 0.0375 0 0 0.075 1.00000000022745
+786432 0 2 0 0 5242880 5242880 5767168 0.0375 0 0 0.1 1.00000000230525
+786432 0 2 0 0 5242880 5242880 5898240 0.0375 0 0 0.125 1.00000000125426
+786432 0 2 0 0 5242880 5242880 6029312 0.0375 0 0 0.15 0.999999999952753
+786432 0 2 0 0 5242880 5242880 6160384 0.0375 0 0 0.175 0.999999999741191
+786432 0 2 0 0 5242880 5242880 6291456 0.0375 0 0 0.2 0.999999999805198
+786432 0 2 0 0 5242880 5242880 6422528 0.0375 0 0 0.225 0.999999999699967
+786432 0 2 0 0 5242880 5242880 6553600 0.0375 0 0 0.25 0.99999999965724
+
+
+# iteration 917504
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 2 0 0 5242880 5242880 3932160 0.04375 0 0 -0.25 0.999999999669696
+917504 0 2 0 0 5242880 5242880 4063232 0.04375 0 0 -0.225 0.999999999735269
+917504 0 2 0 0 5242880 5242880 4194304 0.04375 0 0 -0.2 0.999999999852133
+917504 0 2 0 0 5242880 5242880 4325376 0.04375 0 0 -0.175 0.999999999749234
+917504 0 2 0 0 5242880 5242880 4456448 0.04375 0 0 -0.15 0.999999999915148
+917504 0 2 0 0 5242880 5242880 4587520 0.04375 0 0 -0.125 1.00000000119155
+917504 0 2 0 0 5242880 5242880 4718592 0.04375 0 0 -0.1 1.0000000021537
+917504 0 2 0 0 5242880 5242880 4849664 0.04375 0 0 -0.075 1.00000000037762
+917504 0 2 0 0 5242880 5242880 4980736 0.04375 0 0 -0.05 1.00000000067385
+917504 0 2 0 0 5242880 5242880 5111808 0.04375 0 0 -0.025 1.00000000010524
+917504 0 2 0 0 5242880 5242880 5242880 0.04375 0 0 0 1.00000000014416
+917504 0 2 0 0 5242880 5242880 5373952 0.04375 0 0 0.025 1.00000000010524
+917504 0 2 0 0 5242880 5242880 5505024 0.04375 0 0 0.05 1.00000000067385
+917504 0 2 0 0 5242880 5242880 5636096 0.04375 0 0 0.075 1.00000000037762
+917504 0 2 0 0 5242880 5242880 5767168 0.04375 0 0 0.1 1.0000000021537
+917504 0 2 0 0 5242880 5242880 5898240 0.04375 0 0 0.125 1.00000000119155
+917504 0 2 0 0 5242880 5242880 6029312 0.04375 0 0 0.15 0.999999999915148
+917504 0 2 0 0 5242880 5242880 6160384 0.04375 0 0 0.175 0.999999999749234
+917504 0 2 0 0 5242880 5242880 6291456 0.04375 0 0 0.2 0.999999999852133
+917504 0 2 0 0 5242880 5242880 6422528 0.04375 0 0 0.225 0.999999999735269
+917504 0 2 0 0 5242880 5242880 6553600 0.04375 0 0 0.25 0.999999999669696
+
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 5242880 5242880 0 0.05 0 0 -1 1
+1048576 0 0 0 0 5242880 5242880 524288 0.05 0 0 -0.9 1
+1048576 0 0 0 0 5242880 5242880 1048576 0.05 0 0 -0.8 1
+1048576 0 0 0 0 5242880 5242880 1572864 0.05 0 0 -0.7 1
+1048576 0 0 0 0 5242880 5242880 2097152 0.05 0 0 -0.6 1
+1048576 0 0 0 0 5242880 5242880 2621440 0.05 0 0 -0.5 1.00000000000002
+1048576 0 0 0 0 5242880 5242880 3145728 0.05 0 0 -0.4 0.99999999999786
+1048576 0 0 0 0 5242880 5242880 3670016 0.05 0 0 -0.3 1.00000000002592
+1048576 0 0 0 0 5242880 5242880 4194304 0.05 0 0 -0.2 0.999999999908662
+1048576 0 0 0 0 5242880 5242880 4718592 0.05 0 0 -0.1 1.00000000200092
+1048576 0 0 0 0 5242880 5242880 5242880 0.05 0 0 0 1.00000000027159
+1048576 0 0 0 0 5242880 5242880 5767168 0.05 0 0 0.1 1.00000000200092
+1048576 0 0 0 0 5242880 5242880 6291456 0.05 0 0 0.2 0.999999999908662
+1048576 0 0 0 0 5242880 5242880 6815744 0.05 0 0 0.3 1.00000000002592
+1048576 0 0 0 0 5242880 5242880 7340032 0.05 0 0 0.4 0.99999999999786
+1048576 0 0 0 0 5242880 5242880 7864320 0.05 0 0 0.5 1.00000000000002
+1048576 0 0 0 0 5242880 5242880 8388608 0.05 0 0 0.6 1
+1048576 0 0 0 0 5242880 5242880 8912896 0.05 0 0 0.7 1
+1048576 0 0 0 0 5242880 5242880 9437184 0.05 0 0 0.8 1
+1048576 0 0 0 0 5242880 5242880 9961472 0.05 0 0 0.9 1
+1048576 0 0 0 0 5242880 5242880 10485760 0.05 0 0 1 1
+
+
+# iteration 1048576
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 1 0 0 5242880 5242880 2621440 0.05 0 0 -0.5 1.00000000000002
+1048576 0 1 0 0 5242880 5242880 2883584 0.05 0 0 -0.45 0.999999999997185
+1048576 0 1 0 0 5242880 5242880 3145728 0.05 0 0 -0.4 0.99999999999786
+1048576 0 1 0 0 5242880 5242880 3407872 0.05 0 0 -0.35 1.00000000001908
+1048576 0 1 0 0 5242880 5242880 3670016 0.05 0 0 -0.3 1.00000000002592
+1048576 0 1 0 0 5242880 5242880 3932160 0.05 0 0 -0.25 0.999999999838278
+1048576 0 1 0 0 5242880 5242880 4194304 0.05 0 0 -0.2 0.999999999908662
+1048576 0 1 0 0 5242880 5242880 4456448 0.05 0 0 -0.15 0.999999999869254
+1048576 0 1 0 0 5242880 5242880 4718592 0.05 0 0 -0.1 1.00000000200092
+1048576 0 1 0 0 5242880 5242880 4980736 0.05 0 0 -0.05 1.00000000094713
+1048576 0 1 0 0 5242880 5242880 5242880 0.05 0 0 0 1.00000000027159
+1048576 0 1 0 0 5242880 5242880 5505024 0.05 0 0 0.05 1.00000000094713
+1048576 0 1 0 0 5242880 5242880 5767168 0.05 0 0 0.1 1.00000000200092
+1048576 0 1 0 0 5242880 5242880 6029312 0.05 0 0 0.15 0.999999999869254
+1048576 0 1 0 0 5242880 5242880 6291456 0.05 0 0 0.2 0.999999999908662
+1048576 0 1 0 0 5242880 5242880 6553600 0.05 0 0 0.25 0.999999999838278
+1048576 0 1 0 0 5242880 5242880 6815744 0.05 0 0 0.3 1.00000000002592
+1048576 0 1 0 0 5242880 5242880 7077888 0.05 0 0 0.35 1.00000000001908
+1048576 0 1 0 0 5242880 5242880 7340032 0.05 0 0 0.4 0.99999999999786
+1048576 0 1 0 0 5242880 5242880 7602176 0.05 0 0 0.45 0.999999999997185
+1048576 0 1 0 0 5242880 5242880 7864320 0.05 0 0 0.5 1.00000000000002
+
+
+# iteration 1048576
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 2 0 0 5242880 5242880 3932160 0.05 0 0 -0.25 0.999999999838278
+1048576 0 2 0 0 5242880 5242880 4063232 0.05 0 0 -0.225 0.999999999864206
+1048576 0 2 0 0 5242880 5242880 4194304 0.05 0 0 -0.2 0.999999999908662
+1048576 0 2 0 0 5242880 5242880 4325376 0.05 0 0 -0.175 0.999999999760128
+1048576 0 2 0 0 5242880 5242880 4456448 0.05 0 0 -0.15 0.999999999869254
+1048576 0 2 0 0 5242880 5242880 4587520 0.05 0 0 -0.125 1.00000000099849
+1048576 0 2 0 0 5242880 5242880 4718592 0.05 0 0 -0.1 1.00000000200092
+1048576 0 2 0 0 5242880 5242880 4849664 0.05 0 0 -0.075 1.00000000057078
+1048576 0 2 0 0 5242880 5242880 4980736 0.05 0 0 -0.05 1.00000000094713
+1048576 0 2 0 0 5242880 5242880 5111808 0.05 0 0 -0.025 1.00000000020061
+1048576 0 2 0 0 5242880 5242880 5242880 0.05 0 0 0 1.00000000027159
+1048576 0 2 0 0 5242880 5242880 5373952 0.05 0 0 0.025 1.00000000020061
+1048576 0 2 0 0 5242880 5242880 5505024 0.05 0 0 0.05 1.00000000094713
+1048576 0 2 0 0 5242880 5242880 5636096 0.05 0 0 0.075 1.00000000057078
+1048576 0 2 0 0 5242880 5242880 5767168 0.05 0 0 0.1 1.00000000200092
+1048576 0 2 0 0 5242880 5242880 5898240 0.05 0 0 0.125 1.00000000099849
+1048576 0 2 0 0 5242880 5242880 6029312 0.05 0 0 0.15 0.999999999869254
+1048576 0 2 0 0 5242880 5242880 6160384 0.05 0 0 0.175 0.999999999760128
+1048576 0 2 0 0 5242880 5242880 6291456 0.05 0 0 0.2 0.999999999908662
+1048576 0 2 0 0 5242880 5242880 6422528 0.05 0 0 0.225 0.999999999864206
+1048576 0 2 0 0 5242880 5242880 6553600 0.05 0 0 0.25 0.999999999838278
+
+
+# iteration 1179648
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 2 0 0 5242880 5242880 3932160 0.05625 0 0 -0.25 0.999999999864691
+1179648 0 2 0 0 5242880 5242880 4063232 0.05625 0 0 -0.225 0.999999999920328
+1179648 0 2 0 0 5242880 5242880 4194304 0.05625 0 0 -0.2 0.999999999977901
+1179648 0 2 0 0 5242880 5242880 4325376 0.05625 0 0 -0.175 0.999999999778339
+1179648 0 2 0 0 5242880 5242880 4456448 0.05625 0 0 -0.15 0.999999999825109
+1179648 0 2 0 0 5242880 5242880 4587520 0.05625 0 0 -0.125 1.0000000009088
+1179648 0 2 0 0 5242880 5242880 4718592 0.05625 0 0 -0.1 1.00000000187364
+1179648 0 2 0 0 5242880 5242880 4849664 0.05625 0 0 -0.075 1.00000000080762
+1179648 0 2 0 0 5242880 5242880 4980736 0.05625 0 0 -0.05 1.00000000126869
+1179648 0 2 0 0 5242880 5242880 5111808 0.05625 0 0 -0.025 1.0000000003447
+1179648 0 2 0 0 5242880 5242880 5242880 0.05625 0 0 0 1.00000000046233
+1179648 0 2 0 0 5242880 5242880 5373952 0.05625 0 0 0.025 1.0000000003447
+1179648 0 2 0 0 5242880 5242880 5505024 0.05625 0 0 0.05 1.00000000126869
+1179648 0 2 0 0 5242880 5242880 5636096 0.05625 0 0 0.075 1.00000000080762
+1179648 0 2 0 0 5242880 5242880 5767168 0.05625 0 0 0.1 1.00000000187364
+1179648 0 2 0 0 5242880 5242880 5898240 0.05625 0 0 0.125 1.0000000009088
+1179648 0 2 0 0 5242880 5242880 6029312 0.05625 0 0 0.15 0.999999999825109
+1179648 0 2 0 0 5242880 5242880 6160384 0.05625 0 0 0.175 0.999999999778339
+1179648 0 2 0 0 5242880 5242880 6291456 0.05625 0 0 0.2 0.999999999977901
+1179648 0 2 0 0 5242880 5242880 6422528 0.05625 0 0 0.225 0.999999999920328
+1179648 0 2 0 0 5242880 5242880 6553600 0.05625 0 0 0.25 0.999999999864691
+
+
+# iteration 1310720
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 1 0 0 5242880 5242880 2621440 0.0625 0 0 -0.5 1.00000000000016
+1310720 0 1 0 0 5242880 5242880 2883584 0.0625 0 0 -0.45 0.999999999995216
+1310720 0 1 0 0 5242880 5242880 3145728 0.0625 0 0 -0.4 0.999999999995699
+1310720 0 1 0 0 5242880 5242880 3407872 0.0625 0 0 -0.35 1.00000000002603
+1310720 0 1 0 0 5242880 5242880 3670016 0.0625 0 0 -0.3 1.00000000003931
+1310720 0 1 0 0 5242880 5242880 3932160 0.0625 0 0 -0.25 0.999999999848368
+1310720 0 1 0 0 5242880 5242880 4194304 0.0625 0 0 -0.2 1.00000000005881
+1310720 0 1 0 0 5242880 5242880 4456448 0.0625 0 0 -0.15 0.999999999779366
+1310720 0 1 0 0 5242880 5242880 4718592 0.0625 0 0 -0.1 1.00000000176887
+1310720 0 1 0 0 5242880 5242880 4980736 0.0625 0 0 -0.05 1.00000000163742
+1310720 0 1 0 0 5242880 5242880 5242880 0.0625 0 0 0 1.00000000072855
+1310720 0 1 0 0 5242880 5242880 5505024 0.0625 0 0 0.05 1.00000000163742
+1310720 0 1 0 0 5242880 5242880 5767168 0.0625 0 0 0.1 1.00000000176887
+1310720 0 1 0 0 5242880 5242880 6029312 0.0625 0 0 0.15 0.999999999779366
+1310720 0 1 0 0 5242880 5242880 6291456 0.0625 0 0 0.2 1.00000000005881
+1310720 0 1 0 0 5242880 5242880 6553600 0.0625 0 0 0.25 0.999999999848368
+1310720 0 1 0 0 5242880 5242880 6815744 0.0625 0 0 0.3 1.00000000003931
+1310720 0 1 0 0 5242880 5242880 7077888 0.0625 0 0 0.35 1.00000000002603
+1310720 0 1 0 0 5242880 5242880 7340032 0.0625 0 0 0.4 0.999999999995699
+1310720 0 1 0 0 5242880 5242880 7602176 0.0625 0 0 0.45 0.999999999995216
+1310720 0 1 0 0 5242880 5242880 7864320 0.0625 0 0 0.5 1.00000000000016
+
+
+# iteration 1310720
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 2 0 0 5242880 5242880 3932160 0.0625 0 0 -0.25 0.999999999848368
+1310720 0 2 0 0 5242880 5242880 4063232 0.0625 0 0 -0.225 0.99999999995912
+1310720 0 2 0 0 5242880 5242880 4194304 0.0625 0 0 -0.2 1.00000000005881
+1310720 0 2 0 0 5242880 5242880 4325376 0.0625 0 0 -0.175 0.999999999807897
+1310720 0 2 0 0 5242880 5242880 4456448 0.0625 0 0 -0.15 0.999999999779366
+1310720 0 2 0 0 5242880 5242880 4587520 0.0625 0 0 -0.125 1.00000000076487
+1310720 0 2 0 0 5242880 5242880 4718592 0.0625 0 0 -0.1 1.00000000176887
+1310720 0 2 0 0 5242880 5242880 4849664 0.0625 0 0 -0.075 1.00000000108602
+1310720 0 2 0 0 5242880 5242880 4980736 0.0625 0 0 -0.05 1.00000000163742
+1310720 0 2 0 0 5242880 5242880 5111808 0.0625 0 0 -0.025 1.00000000054727
+1310720 0 2 0 0 5242880 5242880 5242880 0.0625 0 0 0 1.00000000072855
+1310720 0 2 0 0 5242880 5242880 5373952 0.0625 0 0 0.025 1.00000000054727
+1310720 0 2 0 0 5242880 5242880 5505024 0.0625 0 0 0.05 1.00000000163742
+1310720 0 2 0 0 5242880 5242880 5636096 0.0625 0 0 0.075 1.00000000108602
+1310720 0 2 0 0 5242880 5242880 5767168 0.0625 0 0 0.1 1.00000000176887
+1310720 0 2 0 0 5242880 5242880 5898240 0.0625 0 0 0.125 1.00000000076487
+1310720 0 2 0 0 5242880 5242880 6029312 0.0625 0 0 0.15 0.999999999779366
+1310720 0 2 0 0 5242880 5242880 6160384 0.0625 0 0 0.175 0.999999999807897
+1310720 0 2 0 0 5242880 5242880 6291456 0.0625 0 0 0.2 1.00000000005881
+1310720 0 2 0 0 5242880 5242880 6422528 0.0625 0 0 0.225 0.99999999995912
+1310720 0 2 0 0 5242880 5242880 6553600 0.0625 0 0 0.25 0.999999999848368
+
+
+# iteration 1441792
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 2 0 0 5242880 5242880 3932160 0.06875 0 0 -0.25 0.999999999837646
+1441792 0 2 0 0 5242880 5242880 4063232 0.06875 0 0 -0.225 1.00000000000483
+1441792 0 2 0 0 5242880 5242880 4194304 0.06875 0 0 -0.2 1.00000000014767
+1441792 0 2 0 0 5242880 5242880 4325376 0.06875 0 0 -0.175 0.999999999846531
+1441792 0 2 0 0 5242880 5242880 4456448 0.06875 0 0 -0.15 0.999999999744461
+1441792 0 2 0 0 5242880 5242880 4587520 0.06875 0 0 -0.125 1.00000000066039
+1441792 0 2 0 0 5242880 5242880 4718592 0.06875 0 0 -0.1 1.00000000170236
+1441792 0 2 0 0 5242880 5242880 4849664 0.06875 0 0 -0.075 1.00000000140117
+1441792 0 2 0 0 5242880 5242880 4980736 0.06875 0 0 -0.05 1.00000000205035
+1441792 0 2 0 0 5242880 5242880 5111808 0.06875 0 0 -0.025 1.00000000081595
+1441792 0 2 0 0 5242880 5242880 5242880 0.06875 0 0 0 1.00000000107976
+1441792 0 2 0 0 5242880 5242880 5373952 0.06875 0 0 0.025 1.00000000081595
+1441792 0 2 0 0 5242880 5242880 5505024 0.06875 0 0 0.05 1.00000000205035
+1441792 0 2 0 0 5242880 5242880 5636096 0.06875 0 0 0.075 1.00000000140117
+1441792 0 2 0 0 5242880 5242880 5767168 0.06875 0 0 0.1 1.00000000170236
+1441792 0 2 0 0 5242880 5242880 5898240 0.06875 0 0 0.125 1.00000000066039
+1441792 0 2 0 0 5242880 5242880 6029312 0.06875 0 0 0.15 0.999999999744461
+1441792 0 2 0 0 5242880 5242880 6160384 0.06875 0 0 0.175 0.999999999846531
+1441792 0 2 0 0 5242880 5242880 6291456 0.06875 0 0 0.2 1.00000000014767
+1441792 0 2 0 0 5242880 5242880 6422528 0.06875 0 0 0.225 1.00000000000483
+1441792 0 2 0 0 5242880 5242880 6553600 0.06875 0 0 0.25 0.999999999837646
+
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 5242880 5242880 0 0.075 0 0 -1 1
+1572864 0 0 0 0 5242880 5242880 524288 0.075 0 0 -0.9 1
+1572864 0 0 0 0 5242880 5242880 1048576 0.075 0 0 -0.8 1
+1572864 0 0 0 0 5242880 5242880 1572864 0.075 0 0 -0.7 1
+1572864 0 0 0 0 5242880 5242880 2097152 0.075 0 0 -0.6 0.999999999999962
+1572864 0 0 0 0 5242880 5242880 2621440 0.075 0 0 -0.5 1.0000000000004
+1572864 0 0 0 0 5242880 5242880 3145728 0.075 0 0 -0.4 0.99999999999281
+1572864 0 0 0 0 5242880 5242880 3670016 0.075 0 0 -0.3 1.00000000005299
+1572864 0 0 0 0 5242880 5242880 4194304 0.075 0 0 -0.2 1.00000000024572
+1572864 0 0 0 0 5242880 5242880 4718592 0.075 0 0 -0.1 1.00000000167165
+1572864 0 0 0 0 5242880 5242880 5242880 0.075 0 0 0 1.00000000152164
+1572864 0 0 0 0 5242880 5242880 5767168 0.075 0 0 0.1 1.00000000167165
+1572864 0 0 0 0 5242880 5242880 6291456 0.075 0 0 0.2 1.00000000024572
+1572864 0 0 0 0 5242880 5242880 6815744 0.075 0 0 0.3 1.00000000005299
+1572864 0 0 0 0 5242880 5242880 7340032 0.075 0 0 0.4 0.99999999999281
+1572864 0 0 0 0 5242880 5242880 7864320 0.075 0 0 0.5 1.0000000000004
+1572864 0 0 0 0 5242880 5242880 8388608 0.075 0 0 0.6 0.999999999999962
+1572864 0 0 0 0 5242880 5242880 8912896 0.075 0 0 0.7 1
+1572864 0 0 0 0 5242880 5242880 9437184 0.075 0 0 0.8 1
+1572864 0 0 0 0 5242880 5242880 9961472 0.075 0 0 0.9 1
+1572864 0 0 0 0 5242880 5242880 10485760 0.075 0 0 1 1
+
+
+# iteration 1572864
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 1 0 0 5242880 5242880 2621440 0.075 0 0 -0.5 1.0000000000004
+1572864 0 1 0 0 5242880 5242880 2883584 0.075 0 0 -0.45 0.999999999992871
+1572864 0 1 0 0 5242880 5242880 3145728 0.075 0 0 -0.4 0.99999999999281
+1572864 0 1 0 0 5242880 5242880 3407872 0.075 0 0 -0.35 1.00000000001038
+1572864 0 1 0 0 5242880 5242880 3670016 0.075 0 0 -0.3 1.00000000005299
+1572864 0 1 0 0 5242880 5242880 3932160 0.075 0 0 -0.25 1.000000000064
+1572864 0 1 0 0 5242880 5242880 4194304 0.075 0 0 -0.2 1.00000000024572
+1572864 0 1 0 0 5242880 5242880 4456448 0.075 0 0 -0.15 0.999999999716247
+1572864 0 1 0 0 5242880 5242880 4718592 0.075 0 0 -0.1 1.00000000167165
+1572864 0 1 0 0 5242880 5242880 4980736 0.075 0 0 -0.05 1.00000000250217
+1572864 0 1 0 0 5242880 5242880 5242880 0.075 0 0 0 1.00000000152164
+1572864 0 1 0 0 5242880 5242880 5505024 0.075 0 0 0.05 1.00000000250217
+1572864 0 1 0 0 5242880 5242880 5767168 0.075 0 0 0.1 1.00000000167165
+1572864 0 1 0 0 5242880 5242880 6029312 0.075 0 0 0.15 0.999999999716247
+1572864 0 1 0 0 5242880 5242880 6291456 0.075 0 0 0.2 1.00000000024572
+1572864 0 1 0 0 5242880 5242880 6553600 0.075 0 0 0.25 1.000000000064
+1572864 0 1 0 0 5242880 5242880 6815744 0.075 0 0 0.3 1.00000000005299
+1572864 0 1 0 0 5242880 5242880 7077888 0.075 0 0 0.35 1.00000000001038
+1572864 0 1 0 0 5242880 5242880 7340032 0.075 0 0 0.4 0.99999999999281
+1572864 0 1 0 0 5242880 5242880 7602176 0.075 0 0 0.45 0.999999999992871
+1572864 0 1 0 0 5242880 5242880 7864320 0.075 0 0 0.5 1.0000000000004
+
+
+# iteration 1572864
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 2 0 0 5242880 5242880 3932160 0.075 0 0 -0.25 1.000000000064
+1572864 0 2 0 0 5242880 5242880 4063232 0.075 0 0 -0.225 1.00000000018864
+1572864 0 2 0 0 5242880 5242880 4194304 0.075 0 0 -0.2 1.00000000024572
+1572864 0 2 0 0 5242880 5242880 4325376 0.075 0 0 -0.175 0.99999999987013
+1572864 0 2 0 0 5242880 5242880 4456448 0.075 0 0 -0.15 0.999999999716247
+1572864 0 2 0 0 5242880 5242880 4587520 0.075 0 0 -0.125 1.00000000060895
+1572864 0 2 0 0 5242880 5242880 4718592 0.075 0 0 -0.1 1.00000000167165
+1572864 0 2 0 0 5242880 5242880 4849664 0.075 0 0 -0.075 1.00000000174461
+1572864 0 2 0 0 5242880 5242880 4980736 0.075 0 0 -0.05 1.00000000250217
+1572864 0 2 0 0 5242880 5242880 5111808 0.075 0 0 -0.025 1.00000000115522
+1572864 0 2 0 0 5242880 5242880 5242880 0.075 0 0 0 1.00000000152164
+1572864 0 2 0 0 5242880 5242880 5373952 0.075 0 0 0.025 1.00000000115522
+1572864 0 2 0 0 5242880 5242880 5505024 0.075 0 0 0.05 1.00000000250217
+1572864 0 2 0 0 5242880 5242880 5636096 0.075 0 0 0.075 1.00000000174461
+1572864 0 2 0 0 5242880 5242880 5767168 0.075 0 0 0.1 1.00000000167165
+1572864 0 2 0 0 5242880 5242880 5898240 0.075 0 0 0.125 1.00000000060895
+1572864 0 2 0 0 5242880 5242880 6029312 0.075 0 0 0.15 0.999999999716247
+1572864 0 2 0 0 5242880 5242880 6160384 0.075 0 0 0.175 0.99999999987013
+1572864 0 2 0 0 5242880 5242880 6291456 0.075 0 0 0.2 1.00000000024572
+1572864 0 2 0 0 5242880 5242880 6422528 0.075 0 0 0.225 1.00000000018864
+1572864 0 2 0 0 5242880 5242880 6553600 0.075 0 0 0.25 1.000000000064
+
+
+# iteration 1703936
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 2 0 0 5242880 5242880 3932160 0.08125 0 0 -0.25 1.00000000009816
+1703936 0 2 0 0 5242880 5242880 4063232 0.08125 0 0 -0.225 1.00000000027139
+1703936 0 2 0 0 5242880 5242880 4194304 0.08125 0 0 -0.2 1.00000000035833
+1703936 0 2 0 0 5242880 5242880 4325376 0.08125 0 0 -0.175 0.99999999993576
+1703936 0 2 0 0 5242880 5242880 4456448 0.08125 0 0 -0.15 0.999999999707798
+1703936 0 2 0 0 5242880 5242880 4587520 0.08125 0 0 -0.125 1.00000000050288
+1703936 0 2 0 0 5242880 5242880 4718592 0.08125 0 0 -0.1 1.00000000167849
+1703936 0 2 0 0 5242880 5242880 4849664 0.08125 0 0 -0.075 1.00000000210511
+1703936 0 2 0 0 5242880 5242880 4980736 0.08125 0 0 -0.05 1.00000000298471
+1703936 0 2 0 0 5242880 5242880 5111808 0.08125 0 0 -0.025 1.00000000156541
+1703936 0 2 0 0 5242880 5242880 5242880 0.08125 0 0 0 1.00000000205505
+1703936 0 2 0 0 5242880 5242880 5373952 0.08125 0 0 0.025 1.00000000156541
+1703936 0 2 0 0 5242880 5242880 5505024 0.08125 0 0 0.05 1.00000000298471
+1703936 0 2 0 0 5242880 5242880 5636096 0.08125 0 0 0.075 1.00000000210511
+1703936 0 2 0 0 5242880 5242880 5767168 0.08125 0 0 0.1 1.00000000167849
+1703936 0 2 0 0 5242880 5242880 5898240 0.08125 0 0 0.125 1.00000000050288
+1703936 0 2 0 0 5242880 5242880 6029312 0.08125 0 0 0.15 0.999999999707798
+1703936 0 2 0 0 5242880 5242880 6160384 0.08125 0 0 0.175 0.99999999993576
+1703936 0 2 0 0 5242880 5242880 6291456 0.08125 0 0 0.2 1.00000000035833
+1703936 0 2 0 0 5242880 5242880 6422528 0.08125 0 0 0.225 1.00000000027139
+1703936 0 2 0 0 5242880 5242880 6553600 0.08125 0 0 0.25 1.00000000009816
+
+
+# iteration 1835008
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 1 0 0 5242880 5242880 2621440 0.0875 0 0 -0.5 1.00000000000087
+1835008 0 1 0 0 5242880 5242880 2883584 0.0875 0 0 -0.45 0.999999999991356
+1835008 0 1 0 0 5242880 5242880 3145728 0.0875 0 0 -0.4 0.999999999990733
+1835008 0 1 0 0 5242880 5242880 3407872 0.0875 0 0 -0.35 1.00000000001404
+1835008 0 1 0 0 5242880 5242880 3670016 0.0875 0 0 -0.3 1.00000000006281
+1835008 0 1 0 0 5242880 5242880 3932160 0.0875 0 0 -0.25 1.00000000008321
+1835008 0 1 0 0 5242880 5242880 4194304 0.0875 0 0 -0.2 1.00000000048371
+1835008 0 1 0 0 5242880 5242880 4456448 0.0875 0 0 -0.15 0.999999999714756
+1835008 0 1 0 0 5242880 5242880 4718592 0.0875 0 0 -0.1 1.00000000171941
+1835008 0 1 0 0 5242880 5242880 4980736 0.0875 0 0 -0.05 1.0000000034867
+1835008 0 1 0 0 5242880 5242880 5242880 0.0875 0 0 0 1.00000000267514
+1835008 0 1 0 0 5242880 5242880 5505024 0.0875 0 0 0.05 1.0000000034867
+1835008 0 1 0 0 5242880 5242880 5767168 0.0875 0 0 0.1 1.00000000171941
+1835008 0 1 0 0 5242880 5242880 6029312 0.0875 0 0 0.15 0.999999999714756
+1835008 0 1 0 0 5242880 5242880 6291456 0.0875 0 0 0.2 1.00000000048371
+1835008 0 1 0 0 5242880 5242880 6553600 0.0875 0 0 0.25 1.00000000008321
+1835008 0 1 0 0 5242880 5242880 6815744 0.0875 0 0 0.3 1.00000000006281
+1835008 0 1 0 0 5242880 5242880 7077888 0.0875 0 0 0.35 1.00000000001404
+1835008 0 1 0 0 5242880 5242880 7340032 0.0875 0 0 0.4 0.999999999990733
+1835008 0 1 0 0 5242880 5242880 7602176 0.0875 0 0 0.45 0.999999999991356
+1835008 0 1 0 0 5242880 5242880 7864320 0.0875 0 0 0.5 1.00000000000087
+
+
+# iteration 1835008
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 2 0 0 5242880 5242880 3932160 0.0875 0 0 -0.25 1.00000000008321
+1835008 0 2 0 0 5242880 5242880 4063232 0.0875 0 0 -0.225 1.00000000033279
+1835008 0 2 0 0 5242880 5242880 4194304 0.0875 0 0 -0.2 1.00000000048371
+1835008 0 2 0 0 5242880 5242880 4325376 0.0875 0 0 -0.175 0.999999999998976
+1835008 0 2 0 0 5242880 5242880 4456448 0.0875 0 0 -0.15 0.999999999714756
+1835008 0 2 0 0 5242880 5242880 4587520 0.0875 0 0 -0.125 1.00000000055857
+1835008 0 2 0 0 5242880 5242880 4718592 0.0875 0 0 -0.1 1.00000000171941
+1835008 0 2 0 0 5242880 5242880 4849664 0.0875 0 0 -0.075 1.00000000246804
+1835008 0 2 0 0 5242880 5242880 4980736 0.0875 0 0 -0.05 1.0000000034867
+1835008 0 2 0 0 5242880 5242880 5111808 0.0875 0 0 -0.025 1.00000000204188
+1835008 0 2 0 0 5242880 5242880 5242880 0.0875 0 0 0 1.00000000267514
+1835008 0 2 0 0 5242880 5242880 5373952 0.0875 0 0 0.025 1.00000000204188
+1835008 0 2 0 0 5242880 5242880 5505024 0.0875 0 0 0.05 1.0000000034867
+1835008 0 2 0 0 5242880 5242880 5636096 0.0875 0 0 0.075 1.00000000246804
+1835008 0 2 0 0 5242880 5242880 5767168 0.0875 0 0 0.1 1.00000000171941
+1835008 0 2 0 0 5242880 5242880 5898240 0.0875 0 0 0.125 1.00000000055857
+1835008 0 2 0 0 5242880 5242880 6029312 0.0875 0 0 0.15 0.999999999714756
+1835008 0 2 0 0 5242880 5242880 6160384 0.0875 0 0 0.175 0.999999999998976
+1835008 0 2 0 0 5242880 5242880 6291456 0.0875 0 0 0.2 1.00000000048371
+1835008 0 2 0 0 5242880 5242880 6422528 0.0875 0 0 0.225 1.00000000033279
+1835008 0 2 0 0 5242880 5242880 6553600 0.0875 0 0 0.25 1.00000000008321
+
+
+# iteration 1966080
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 2 0 0 5242880 5242880 3932160 0.09375 0 0 -0.25 1.00000000006939
+1966080 0 2 0 0 5242880 5242880 4063232 0.09375 0 0 -0.225 1.00000000039637
+1966080 0 2 0 0 5242880 5242880 4194304 0.09375 0 0 -0.2 1.00000000061474
+1966080 0 2 0 0 5242880 5242880 4325376 0.09375 0 0 -0.175 1.00000000010307
+1966080 0 2 0 0 5242880 5242880 4456448 0.09375 0 0 -0.15 0.99999999974855
+1966080 0 2 0 0 5242880 5242880 4587520 0.09375 0 0 -0.125 1.00000000046383
+1966080 0 2 0 0 5242880 5242880 4718592 0.09375 0 0 -0.1 1.00000000178245
+1966080 0 2 0 0 5242880 5242880 4849664 0.09375 0 0 -0.075 1.0000000028168
+1966080 0 2 0 0 5242880 5242880 4980736 0.09375 0 0 -0.05 1.0000000039935
+1966080 0 2 0 0 5242880 5242880 5111808 0.09375 0 0 -0.025 1.00000000257445
+1966080 0 2 0 0 5242880 5242880 5242880 0.09375 0 0 0 1.0000000033708
+1966080 0 2 0 0 5242880 5242880 5373952 0.09375 0 0 0.025 1.00000000257445
+1966080 0 2 0 0 5242880 5242880 5505024 0.09375 0 0 0.05 1.0000000039935
+1966080 0 2 0 0 5242880 5242880 5636096 0.09375 0 0 0.075 1.0000000028168
+1966080 0 2 0 0 5242880 5242880 5767168 0.09375 0 0 0.1 1.00000000178245
+1966080 0 2 0 0 5242880 5242880 5898240 0.09375 0 0 0.125 1.00000000046383
+1966080 0 2 0 0 5242880 5242880 6029312 0.09375 0 0 0.15 0.99999999974855
+1966080 0 2 0 0 5242880 5242880 6160384 0.09375 0 0 0.175 1.00000000010307
+1966080 0 2 0 0 5242880 5242880 6291456 0.09375 0 0 0.2 1.00000000061474
+1966080 0 2 0 0 5242880 5242880 6422528 0.09375 0 0 0.225 1.00000000039637
+1966080 0 2 0 0 5242880 5242880 6553600 0.09375 0 0 0.25 1.00000000006939
+
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 5242880 5242880 0 0.1 0 0 -1 1
+2097152 0 0 0 0 5242880 5242880 524288 0.1 0 0 -0.9 1
+2097152 0 0 0 0 5242880 5242880 1048576 0.1 0 0 -0.8 0.999999999999999
+2097152 0 0 0 0 5242880 5242880 1572864 0.1 0 0 -0.7 1.00000000000001
+2097152 0 0 0 0 5242880 5242880 2097152 0.1 0 0 -0.6 0.999999999999814
+2097152 0 0 0 0 5242880 5242880 2621440 0.1 0 0 -0.5 1.00000000000152
+2097152 0 0 0 0 5242880 5242880 3145728 0.1 0 0 -0.4 0.999999999988956
+2097152 0 0 0 0 5242880 5242880 3670016 0.1 0 0 -0.3 1.00000000007015
+2097152 0 0 0 0 5242880 5242880 4194304 0.1 0 0 -0.2 1.00000000075378
+2097152 0 0 0 0 5242880 5242880 4718592 0.1 0 0 -0.1 1.00000000186308
+2097152 0 0 0 0 5242880 5242880 5242880 0.1 0 0 0 1.00000000412429
+2097152 0 0 0 0 5242880 5242880 5767168 0.1 0 0 0.1 1.00000000186308
+2097152 0 0 0 0 5242880 5242880 6291456 0.1 0 0 0.2 1.00000000075378
+2097152 0 0 0 0 5242880 5242880 6815744 0.1 0 0 0.3 1.00000000007015
+2097152 0 0 0 0 5242880 5242880 7340032 0.1 0 0 0.4 0.999999999988956
+2097152 0 0 0 0 5242880 5242880 7864320 0.1 0 0 0.5 1.00000000000152
+2097152 0 0 0 0 5242880 5242880 8388608 0.1 0 0 0.6 0.999999999999814
+2097152 0 0 0 0 5242880 5242880 8912896 0.1 0 0 0.7 1.00000000000001
+2097152 0 0 0 0 5242880 5242880 9437184 0.1 0 0 0.8 0.999999999999999
+2097152 0 0 0 0 5242880 5242880 9961472 0.1 0 0 0.9 1
+2097152 0 0 0 0 5242880 5242880 10485760 0.1 0 0 1 1
+
+
+# iteration 2097152
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 1 0 0 5242880 5242880 2621440 0.1 0 0 -0.5 1.00000000000152
+2097152 0 1 0 0 5242880 5242880 2883584 0.1 0 0 -0.45 0.999999999990269
+2097152 0 1 0 0 5242880 5242880 3145728 0.1 0 0 -0.4 0.999999999988956
+2097152 0 1 0 0 5242880 5242880 3407872 0.1 0 0 -0.35 0.999999999986041
+2097152 0 1 0 0 5242880 5242880 3670016 0.1 0 0 -0.3 1.00000000007015
+2097152 0 1 0 0 5242880 5242880 3932160 0.1 0 0 -0.25 1.00000000034771
+2097152 0 1 0 0 5242880 5242880 4194304 0.1 0 0 -0.2 1.00000000075378
+2097152 0 1 0 0 5242880 5242880 4456448 0.1 0 0 -0.15 0.999999999805372
+2097152 0 1 0 0 5242880 5242880 4718592 0.1 0 0 -0.1 1.00000000186308
+2097152 0 1 0 0 5242880 5242880 4980736 0.1 0 0 -0.05 1.00000000448718
+2097152 0 1 0 0 5242880 5242880 5242880 0.1 0 0 0 1.00000000412429
+2097152 0 1 0 0 5242880 5242880 5505024 0.1 0 0 0.05 1.00000000448718
+2097152 0 1 0 0 5242880 5242880 5767168 0.1 0 0 0.1 1.00000000186308
+2097152 0 1 0 0 5242880 5242880 6029312 0.1 0 0 0.15 0.999999999805372
+2097152 0 1 0 0 5242880 5242880 6291456 0.1 0 0 0.2 1.00000000075378
+2097152 0 1 0 0 5242880 5242880 6553600 0.1 0 0 0.25 1.00000000034771
+2097152 0 1 0 0 5242880 5242880 6815744 0.1 0 0 0.3 1.00000000007015
+2097152 0 1 0 0 5242880 5242880 7077888 0.1 0 0 0.35 0.999999999986041
+2097152 0 1 0 0 5242880 5242880 7340032 0.1 0 0 0.4 0.999999999988956
+2097152 0 1 0 0 5242880 5242880 7602176 0.1 0 0 0.45 0.999999999990269
+2097152 0 1 0 0 5242880 5242880 7864320 0.1 0 0 0.5 1.00000000000152
+
+
+# iteration 2097152
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 2 0 0 5242880 5242880 3932160 0.1 0 0 -0.25 1.00000000034771
+2097152 0 2 0 0 5242880 5242880 4063232 0.1 0 0 -0.225 1.00000000062737
+2097152 0 2 0 0 5242880 5242880 4194304 0.1 0 0 -0.2 1.00000000075378
+2097152 0 2 0 0 5242880 5242880 4325376 0.1 0 0 -0.175 1.00000000017635
+2097152 0 2 0 0 5242880 5242880 4456448 0.1 0 0 -0.15 0.999999999805372
+2097152 0 2 0 0 5242880 5242880 4587520 0.1 0 0 -0.125 1.00000000061094
+2097152 0 2 0 0 5242880 5242880 4718592 0.1 0 0 -0.1 1.00000000186308
+2097152 0 2 0 0 5242880 5242880 4849664 0.1 0 0 -0.075 1.00000000313278
+2097152 0 2 0 0 5242880 5242880 4980736 0.1 0 0 -0.05 1.00000000448718
+2097152 0 2 0 0 5242880 5242880 5111808 0.1 0 0 -0.025 1.00000000314711
+2097152 0 2 0 0 5242880 5242880 5242880 0.1 0 0 0 1.00000000412429
+2097152 0 2 0 0 5242880 5242880 5373952 0.1 0 0 0.025 1.00000000314711
+2097152 0 2 0 0 5242880 5242880 5505024 0.1 0 0 0.05 1.00000000448718
+2097152 0 2 0 0 5242880 5242880 5636096 0.1 0 0 0.075 1.00000000313278
+2097152 0 2 0 0 5242880 5242880 5767168 0.1 0 0 0.1 1.00000000186308
+2097152 0 2 0 0 5242880 5242880 5898240 0.1 0 0 0.125 1.00000000061094
+2097152 0 2 0 0 5242880 5242880 6029312 0.1 0 0 0.15 0.999999999805372
+2097152 0 2 0 0 5242880 5242880 6160384 0.1 0 0 0.175 1.00000000017635
+2097152 0 2 0 0 5242880 5242880 6291456 0.1 0 0 0.2 1.00000000075378
+2097152 0 2 0 0 5242880 5242880 6422528 0.1 0 0 0.225 1.00000000062737
+2097152 0 2 0 0 5242880 5242880 6553600 0.1 0 0 0.25 1.00000000034771
+
+
diff --git a/Carpet/CarpetInterp/test/waveinterp/phix..asc b/Carpet/CarpetInterp/test/waveinterp/phix..asc
new file mode 100644
index 000000000..3c42790ef
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phix..asc
@@ -0,0 +1,157 @@
+# WAVEMOL::phix (phix)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 5242880 5242880 5242880 0 0 0 0 0
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 5242880 5242880 5242880 0 0 0 0 0
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 5242880 5242880 5242880 0 0 0 0 0
+
+# iteration 131072
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 2 0 0 5242880 5242880 5242880 0.00625 0 0 0 0
+
+# iteration 262144
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 1 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+
+# iteration 262144
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 2 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+
+# iteration 393216
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 2 0 0 5242880 5242880 5242880 0.01875 0 0 0 0
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+
+# iteration 524288
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 1 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+
+# iteration 524288
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 2 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+
+# iteration 655360
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 2 0 0 5242880 5242880 5242880 0.03125 0 0 0 0
+
+# iteration 786432
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 1 0 0 5242880 5242880 5242880 0.0375 0 0 0 0
+
+# iteration 786432
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 2 0 0 5242880 5242880 5242880 0.0375 0 0 0 0
+
+# iteration 917504
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 2 0 0 5242880 5242880 5242880 0.04375 0 0 0 0
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+
+# iteration 1048576
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 1 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+
+# iteration 1048576
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 2 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+
+# iteration 1179648
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 2 0 0 5242880 5242880 5242880 0.05625 0 0 0 0
+
+# iteration 1310720
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 1 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
+
+# iteration 1310720
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 2 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
+
+# iteration 1441792
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 2 0 0 5242880 5242880 5242880 0.06875 0 0 0 0
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+
+# iteration 1572864
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 1 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+
+# iteration 1572864
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 2 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+
+# iteration 1703936
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 2 0 0 5242880 5242880 5242880 0.08125 0 0 0 0
+
+# iteration 1835008
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 1 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+
+# iteration 1835008
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 2 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+
+# iteration 1966080
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 2 0 0 5242880 5242880 5242880 0.09375 0 0 0 0
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+
+# iteration 2097152
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 1 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+
+# iteration 2097152
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 2 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+
diff --git a/Carpet/CarpetInterp/test/waveinterp/phix.average.asc b/Carpet/CarpetInterp/test/waveinterp/phix.average.asc
new file mode 100644
index 000000000..81e5044d2
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phix.average.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phix (phix)
+# iteration time data
+0 0 0
+131072 0.00625 -5.85334791673991e-30
+262144 0.0125 7.61546596377734e-31
+393216 0.01875 6.39963409360546e-32
+524288 0.025 4.22987217379507e-30
+655360 0.03125 -5.14968398928276e-30
+786432 0.0375 -1.12574148960532e-30
+917504 0.04375 7.24489855354977e-30
+1048576 0.05 -8.03001236947098e-30
+1179648 0.05625 9.07949319625439e-30
+1310720 0.0625 3.81917146501438e-30
+1441792 0.06875 -1.60190039718705e-29
+1572864 0.075 -3.19476833700931e-29
+1703936 0.08125 -4.15571924870429e-30
+1835008 0.0875 1.62347574294484e-29
+1966080 0.09375 -1.00382550189374e-29
+2097152 0.1 2.83859763830203e-29
diff --git a/Carpet/CarpetInterp/test/waveinterp/phix.count.asc b/Carpet/CarpetInterp/test/waveinterp/phix.count.asc
new file mode 100644
index 000000000..40a5bcbfb
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phix.count.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phix (phix)
+# iteration time data
+0 0 8000
+131072 0.00625 8000
+262144 0.0125 8000
+393216 0.01875 8000
+524288 0.025 8000
+655360 0.03125 8000
+786432 0.0375 8000
+917504 0.04375 8000
+1048576 0.05 8000
+1179648 0.05625 8000
+1310720 0.0625 8000
+1441792 0.06875 8000
+1572864 0.075 8000
+1703936 0.08125 8000
+1835008 0.0875 8000
+1966080 0.09375 8000
+2097152 0.1 8000
diff --git a/Carpet/CarpetInterp/test/waveinterp/phix.maximum.asc b/Carpet/CarpetInterp/test/waveinterp/phix.maximum.asc
new file mode 100644
index 000000000..9e14adf44
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phix.maximum.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phix (phix)
+# iteration time data
+0 0 0
+131072 0.00625 2.52330210059881e-08
+262144 0.0125 2.59751686828268e-09
+393216 0.01875 1.94813765121201e-09
+524288 0.025 1.13718142310167e-09
+655360 0.03125 1.49819814627278e-09
+786432 0.0375 1.92004376518377e-09
+917504 0.04375 2.25411963198039e-09
+1048576 0.05 2.51675670350412e-09
+1179648 0.05625 2.6865148826614e-09
+1310720 0.0625 2.77054086848342e-09
+1441792 0.06875 2.7710016315662e-09
+1572864 0.075 2.71062697591515e-09
+1703936 0.08125 2.68229908058895e-09
+1835008 0.0875 2.6295740571891e-09
+1966080 0.09375 2.53181084986157e-09
+2097152 0.1 2.41338321187977e-09
diff --git a/Carpet/CarpetInterp/test/waveinterp/phix.minimum.asc b/Carpet/CarpetInterp/test/waveinterp/phix.minimum.asc
new file mode 100644
index 000000000..ab06be2cb
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phix.minimum.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phix (phix)
+# iteration time data
+0 0 0
+131072 0.00625 -2.52330210059881e-08
+262144 0.0125 -2.59751686828268e-09
+393216 0.01875 -1.94813765121201e-09
+524288 0.025 -1.13718142310167e-09
+655360 0.03125 -1.49819814627278e-09
+786432 0.0375 -1.92004376518377e-09
+917504 0.04375 -2.25411963198039e-09
+1048576 0.05 -2.51675670350412e-09
+1179648 0.05625 -2.6865148826614e-09
+1310720 0.0625 -2.77054086848342e-09
+1441792 0.06875 -2.7710016315662e-09
+1572864 0.075 -2.71062697591515e-09
+1703936 0.08125 -2.68229908058895e-09
+1835008 0.0875 -2.6295740571891e-09
+1966080 0.09375 -2.53181084986157e-09
+2097152 0.1 -2.41338321187977e-09
diff --git a/Carpet/CarpetInterp/test/waveinterp/phix.norm1.asc b/Carpet/CarpetInterp/test/waveinterp/phix.norm1.asc
new file mode 100644
index 000000000..3914ee0c3
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phix.norm1.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phix (phix)
+# iteration time data
+0 0 0
+131072 0.00625 1.8276409322037e-11
+262144 0.0125 7.34649051893126e-12
+393216 0.01875 5.91041345682556e-12
+524288 0.025 1.24242890027224e-12
+655360 0.03125 2.57713743237751e-12
+786432 0.0375 2.36124801524171e-12
+917504 0.04375 2.980572995517e-12
+1048576 0.05 3.03589049525507e-12
+1179648 0.05625 3.36169643546458e-12
+1310720 0.0625 3.61334864722834e-12
+1441792 0.06875 3.84089322924323e-12
+1572864 0.075 3.76844870942373e-12
+1703936 0.08125 3.84025109025803e-12
+1835008 0.0875 3.86147640814427e-12
+1966080 0.09375 3.97285273972382e-12
+2097152 0.1 4.30036623573871e-12
diff --git a/Carpet/CarpetInterp/test/waveinterp/phix.norm2.asc b/Carpet/CarpetInterp/test/waveinterp/phix.norm2.asc
new file mode 100644
index 000000000..f6100c672
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phix.norm2.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phix (phix)
+# iteration time data
+0 0 0
+131072 0.00625 5.18343779507329e-10
+262144 0.0125 1.13025459173354e-10
+393216 0.01875 8.58024498955012e-11
+524288 0.025 2.48311121202448e-11
+655360 0.03125 3.76969874645362e-11
+786432 0.0375 4.28591265832086e-11
+917504 0.04375 5.05689775131339e-11
+1048576 0.05 5.53837109993038e-11
+1179648 0.05625 5.9781605763834e-11
+1310720 0.0625 6.21626122183979e-11
+1441792 0.06875 6.40118017073291e-11
+1572864 0.075 6.41185856980848e-11
+1703936 0.08125 6.40670662348222e-11
+1835008 0.0875 6.32168941306762e-11
+1966080 0.09375 6.25609573472936e-11
+2097152 0.1 6.19448146789359e-11
diff --git a/Carpet/CarpetInterp/test/waveinterp/phix.norm_inf.asc b/Carpet/CarpetInterp/test/waveinterp/phix.norm_inf.asc
new file mode 100644
index 000000000..9e14adf44
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phix.norm_inf.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phix (phix)
+# iteration time data
+0 0 0
+131072 0.00625 2.52330210059881e-08
+262144 0.0125 2.59751686828268e-09
+393216 0.01875 1.94813765121201e-09
+524288 0.025 1.13718142310167e-09
+655360 0.03125 1.49819814627278e-09
+786432 0.0375 1.92004376518377e-09
+917504 0.04375 2.25411963198039e-09
+1048576 0.05 2.51675670350412e-09
+1179648 0.05625 2.6865148826614e-09
+1310720 0.0625 2.77054086848342e-09
+1441792 0.06875 2.7710016315662e-09
+1572864 0.075 2.71062697591515e-09
+1703936 0.08125 2.68229908058895e-09
+1835008 0.0875 2.6295740571891e-09
+1966080 0.09375 2.53181084986157e-09
+2097152 0.1 2.41338321187977e-09
diff --git a/Carpet/CarpetInterp/test/waveinterp/phix.sum.asc b/Carpet/CarpetInterp/test/waveinterp/phix.sum.asc
new file mode 100644
index 000000000..b8432b414
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phix.sum.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phix (phix)
+# iteration time data
+0 0 0
+131072 0.00625 -4.68267833339193e-26
+262144 0.0125 6.09237277102187e-27
+393216 0.01875 5.11970727488437e-28
+524288 0.025 3.38389773903605e-26
+655360 0.03125 -4.11974719142621e-26
+786432 0.0375 -9.00593191684253e-27
+917504 0.04375 5.79591884283982e-26
+1048576 0.05 -6.42400989557679e-26
+1179648 0.05625 7.26359455700351e-26
+1310720 0.0625 3.0553371720115e-26
+1441792 0.06875 -1.28152031774964e-25
+1572864 0.075 -2.55581466960745e-25
+1703936 0.08125 -3.32457539896343e-26
+1835008 0.0875 1.29878059435587e-25
+1966080 0.09375 -8.0306040151499e-26
+2097152 0.1 2.27087811064162e-25
diff --git a/Carpet/CarpetInterp/test/waveinterp/phix.x.asc b/Carpet/CarpetInterp/test/waveinterp/phix.x.asc
new file mode 100644
index 000000000..89a09cd7a
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phix.x.asc
@@ -0,0 +1,808 @@
+# WAVEMOL::phix x (phix)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 5242880 5242880 0 -1 0 0 0
+0 0 0 0 0 524288 5242880 5242880 0 -0.9 0 0 0
+0 0 0 0 0 1048576 5242880 5242880 0 -0.8 0 0 0
+0 0 0 0 0 1572864 5242880 5242880 0 -0.7 0 0 0
+0 0 0 0 0 2097152 5242880 5242880 0 -0.6 0 0 0
+0 0 0 0 0 2621440 5242880 5242880 0 -0.5 0 0 0
+0 0 0 0 0 3145728 5242880 5242880 0 -0.4 0 0 0
+0 0 0 0 0 3670016 5242880 5242880 0 -0.3 0 0 0
+0 0 0 0 0 4194304 5242880 5242880 0 -0.2 0 0 0
+0 0 0 0 0 4718592 5242880 5242880 0 -0.1 0 0 0
+0 0 0 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 0 0 0 5767168 5242880 5242880 0 0.1 0 0 0
+0 0 0 0 0 6291456 5242880 5242880 0 0.2 0 0 0
+0 0 0 0 0 6815744 5242880 5242880 0 0.3 0 0 0
+0 0 0 0 0 7340032 5242880 5242880 0 0.4 0 0 0
+0 0 0 0 0 7864320 5242880 5242880 0 0.5 0 0 0
+0 0 0 0 0 8388608 5242880 5242880 0 0.6 0 0 0
+0 0 0 0 0 8912896 5242880 5242880 0 0.7 0 0 0
+0 0 0 0 0 9437184 5242880 5242880 0 0.8 0 0 0
+0 0 0 0 0 9961472 5242880 5242880 0 0.9 0 0 0
+0 0 0 0 0 10485760 5242880 5242880 0 1 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 2621440 5242880 5242880 0 -0.5 0 0 0
+0 0 1 0 0 2883584 5242880 5242880 0 -0.45 0 0 0
+0 0 1 0 0 3145728 5242880 5242880 0 -0.4 0 0 0
+0 0 1 0 0 3407872 5242880 5242880 0 -0.35 0 0 0
+0 0 1 0 0 3670016 5242880 5242880 0 -0.3 0 0 0
+0 0 1 0 0 3932160 5242880 5242880 0 -0.25 0 0 0
+0 0 1 0 0 4194304 5242880 5242880 0 -0.2 0 0 0
+0 0 1 0 0 4456448 5242880 5242880 0 -0.15 0 0 0
+0 0 1 0 0 4718592 5242880 5242880 0 -0.1 0 0 0
+0 0 1 0 0 4980736 5242880 5242880 0 -0.05 0 0 0
+0 0 1 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 1 0 0 5505024 5242880 5242880 0 0.05 0 0 0
+0 0 1 0 0 5767168 5242880 5242880 0 0.1 0 0 0
+0 0 1 0 0 6029312 5242880 5242880 0 0.15 0 0 0
+0 0 1 0 0 6291456 5242880 5242880 0 0.2 0 0 0
+0 0 1 0 0 6553600 5242880 5242880 0 0.25 0 0 0
+0 0 1 0 0 6815744 5242880 5242880 0 0.3 0 0 0
+0 0 1 0 0 7077888 5242880 5242880 0 0.35 0 0 0
+0 0 1 0 0 7340032 5242880 5242880 0 0.4 0 0 0
+0 0 1 0 0 7602176 5242880 5242880 0 0.45 0 0 0
+0 0 1 0 0 7864320 5242880 5242880 0 0.5 0 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 3932160 5242880 5242880 0 -0.25 0 0 0
+0 0 2 0 0 4063232 5242880 5242880 0 -0.225 0 0 0
+0 0 2 0 0 4194304 5242880 5242880 0 -0.2 0 0 0
+0 0 2 0 0 4325376 5242880 5242880 0 -0.175 0 0 0
+0 0 2 0 0 4456448 5242880 5242880 0 -0.15 0 0 0
+0 0 2 0 0 4587520 5242880 5242880 0 -0.125 0 0 0
+0 0 2 0 0 4718592 5242880 5242880 0 -0.1 0 0 0
+0 0 2 0 0 4849664 5242880 5242880 0 -0.075 0 0 0
+0 0 2 0 0 4980736 5242880 5242880 0 -0.05 0 0 0
+0 0 2 0 0 5111808 5242880 5242880 0 -0.025 0 0 0
+0 0 2 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 2 0 0 5373952 5242880 5242880 0 0.025 0 0 0
+0 0 2 0 0 5505024 5242880 5242880 0 0.05 0 0 0
+0 0 2 0 0 5636096 5242880 5242880 0 0.075 0 0 0
+0 0 2 0 0 5767168 5242880 5242880 0 0.1 0 0 0
+0 0 2 0 0 5898240 5242880 5242880 0 0.125 0 0 0
+0 0 2 0 0 6029312 5242880 5242880 0 0.15 0 0 0
+0 0 2 0 0 6160384 5242880 5242880 0 0.175 0 0 0
+0 0 2 0 0 6291456 5242880 5242880 0 0.2 0 0 0
+0 0 2 0 0 6422528 5242880 5242880 0 0.225 0 0 0
+0 0 2 0 0 6553600 5242880 5242880 0 0.25 0 0 0
+
+
+# iteration 131072
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 2 0 0 3932160 5242880 5242880 0.00625 -0.25 0 0 8.51287040805251e-10
+131072 0 2 0 0 4063232 5242880 5242880 0.00625 -0.225 0 0 4.78848960452953e-10
+131072 0 2 0 0 4194304 5242880 5242880 0.00625 -0.2 0 0 0
+131072 0 2 0 0 4325376 5242880 5242880 0.00625 -0.175 0 0 2.43032142559095e-09
+131072 0 2 0 0 4456448 5242880 5242880 0.00625 -0.15 0 0 0
+131072 0 2 0 0 4587520 5242880 5242880 0.00625 -0.125 0 0 -2.23517417907715e-08
+131072 0 2 0 0 4718592 5242880 5242880 0.00625 -0.1 0 0 0
+131072 0 2 0 0 4849664 5242880 5242880 0.00625 -0.075 0 0 0
+131072 0 2 0 0 4980736 5242880 5242880 0.00625 -0.05 0 0 0
+131072 0 2 0 0 5111808 5242880 5242880 0.00625 -0.025 0 0 0
+131072 0 2 0 0 5242880 5242880 5242880 0.00625 0 0 0 0
+131072 0 2 0 0 5373952 5242880 5242880 0.00625 0.025 0 0 0
+131072 0 2 0 0 5505024 5242880 5242880 0.00625 0.05 0 0 0
+131072 0 2 0 0 5636096 5242880 5242880 0.00625 0.075 0 0 0
+131072 0 2 0 0 5767168 5242880 5242880 0.00625 0.1 0 0 0
+131072 0 2 0 0 5898240 5242880 5242880 0.00625 0.125 0 0 2.23517417907715e-08
+131072 0 2 0 0 6029312 5242880 5242880 0.00625 0.15 0 0 0
+131072 0 2 0 0 6160384 5242880 5242880 0.00625 0.175 0 0 -2.43032142559095e-09
+131072 0 2 0 0 6291456 5242880 5242880 0.00625 0.2 0 0 0
+131072 0 2 0 0 6422528 5242880 5242880 0.00625 0.225 0 0 -4.78848960452953e-10
+131072 0 2 0 0 6553600 5242880 5242880 0.00625 0.25 0 0 -8.51287040805251e-10
+
+
+# iteration 262144
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 1 0 0 2621440 5242880 5242880 0.0125 -0.5 0 0 0
+262144 0 1 0 0 2883584 5242880 5242880 0.0125 -0.45 0 0 0
+262144 0 1 0 0 3145728 5242880 5242880 0.0125 -0.4 0 0 0
+262144 0 1 0 0 3407872 5242880 5242880 0.0125 -0.35 0 0 1.94025536558925e-11
+262144 0 1 0 0 3670016 5242880 5242880 0.0125 -0.3 0 0 0
+262144 0 1 0 0 3932160 5242880 5242880 0.0125 -0.25 0 0 2.27009877548067e-09
+262144 0 1 0 0 4194304 5242880 5242880 0.0125 -0.2 0 0 0
+262144 0 1 0 0 4456448 5242880 5242880 0.0125 -0.15 0 0 0
+262144 0 1 0 0 4718592 5242880 5242880 0.0125 -0.1 0 0 3.88051095886096e-11
+262144 0 1 0 0 4980736 5242880 5242880 0.0125 -0.05 0 0 0
+262144 0 1 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+262144 0 1 0 0 5505024 5242880 5242880 0.0125 0.05 0 0 0
+262144 0 1 0 0 5767168 5242880 5242880 0.0125 0.1 0 0 -3.88051095886096e-11
+262144 0 1 0 0 6029312 5242880 5242880 0.0125 0.15 0 0 0
+262144 0 1 0 0 6291456 5242880 5242880 0.0125 0.2 0 0 0
+262144 0 1 0 0 6553600 5242880 5242880 0.0125 0.25 0 0 -2.27009877548067e-09
+262144 0 1 0 0 6815744 5242880 5242880 0.0125 0.3 0 0 0
+262144 0 1 0 0 7077888 5242880 5242880 0.0125 0.35 0 0 -1.94025536558925e-11
+262144 0 1 0 0 7340032 5242880 5242880 0.0125 0.4 0 0 0
+262144 0 1 0 0 7602176 5242880 5242880 0.0125 0.45 0 0 0
+262144 0 1 0 0 7864320 5242880 5242880 0.0125 0.5 0 0 0
+
+
+# iteration 262144
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 2 0 0 3932160 5242880 5242880 0.0125 -0.25 0 0 2.27009877548067e-09
+262144 0 2 0 0 4063232 5242880 5242880 0.0125 -0.225 0 0 1.27693056120788e-09
+262144 0 2 0 0 4194304 5242880 5242880 0.0125 -0.2 0 0 0
+262144 0 2 0 0 4325376 5242880 5242880 0.0125 -0.175 0 0 -1.4430649281683e-10
+262144 0 2 0 0 4456448 5242880 5242880 0.0125 -0.15 0 0 0
+262144 0 2 0 0 4587520 5242880 5242880 0.0125 -0.125 0 0 2.18278741435929e-11
+262144 0 2 0 0 4718592 5242880 5242880 0.0125 -0.1 0 0 3.88051095886096e-11
+262144 0 2 0 0 4849664 5242880 5242880 0.0125 -0.075 0 0 -1.74622982740402e-10
+262144 0 2 0 0 4980736 5242880 5242880 0.0125 -0.05 0 0 0
+262144 0 2 0 0 5111808 5242880 5242880 0.0125 -0.025 0 0 0
+262144 0 2 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+262144 0 2 0 0 5373952 5242880 5242880 0.0125 0.025 0 0 0
+262144 0 2 0 0 5505024 5242880 5242880 0.0125 0.05 0 0 0
+262144 0 2 0 0 5636096 5242880 5242880 0.0125 0.075 0 0 1.74622982740402e-10
+262144 0 2 0 0 5767168 5242880 5242880 0.0125 0.1 0 0 -3.88051095886096e-11
+262144 0 2 0 0 5898240 5242880 5242880 0.0125 0.125 0 0 -2.18278741435929e-11
+262144 0 2 0 0 6029312 5242880 5242880 0.0125 0.15 0 0 0
+262144 0 2 0 0 6160384 5242880 5242880 0.0125 0.175 0 0 1.4430649281683e-10
+262144 0 2 0 0 6291456 5242880 5242880 0.0125 0.2 0 0 0
+262144 0 2 0 0 6422528 5242880 5242880 0.0125 0.225 0 0 -1.27693056120788e-09
+262144 0 2 0 0 6553600 5242880 5242880 0.0125 0.25 0 0 -2.27009877548067e-09
+
+
+# iteration 393216
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 2 0 0 3932160 5242880 5242880 0.01875 -0.25 0 0 1.7025740816105e-09
+393216 0 2 0 0 4063232 5242880 5242880 0.01875 -0.225 0 0 9.59262773157592e-10
+393216 0 2 0 0 4194304 5242880 5242880 0.01875 -0.2 0 0 1.80060419699424e-11
+393216 0 2 0 0 4325376 5242880 5242880 0.01875 -0.175 0 0 -2.20306178830874e-11
+393216 0 2 0 0 4456448 5242880 5242880 0.01875 -0.15 0 0 1.37016741702522e-10
+393216 0 2 0 0 4587520 5242880 5242880 0.01875 -0.125 0 0 1.09369182438833e-10
+393216 0 2 0 0 4718592 5242880 5242880 0.01875 -0.1 0 0 -1.55569968944095e-10
+393216 0 2 0 0 4849664 5242880 5242880 0.01875 -0.075 0 0 -5.14533776696524e-10
+393216 0 2 0 0 4980736 5242880 5242880 0.01875 -0.05 0 0 -1.05031724058809e-14
+393216 0 2 0 0 5111808 5242880 5242880 0.01875 -0.025 0 0 -3.1663930736651e-12
+393216 0 2 0 0 5242880 5242880 5242880 0.01875 0 0 0 0
+393216 0 2 0 0 5373952 5242880 5242880 0.01875 0.025 0 0 3.1663930736651e-12
+393216 0 2 0 0 5505024 5242880 5242880 0.01875 0.05 0 0 1.05031724058809e-14
+393216 0 2 0 0 5636096 5242880 5242880 0.01875 0.075 0 0 5.14533776696524e-10
+393216 0 2 0 0 5767168 5242880 5242880 0.01875 0.1 0 0 1.55569968944095e-10
+393216 0 2 0 0 5898240 5242880 5242880 0.01875 0.125 0 0 -1.09369182438833e-10
+393216 0 2 0 0 6029312 5242880 5242880 0.01875 0.15 0 0 -1.37016741702522e-10
+393216 0 2 0 0 6160384 5242880 5242880 0.01875 0.175 0 0 2.20306178830874e-11
+393216 0 2 0 0 6291456 5242880 5242880 0.01875 0.2 0 0 -1.80060419699424e-11
+393216 0 2 0 0 6422528 5242880 5242880 0.01875 0.225 0 0 -9.59262773157592e-10
+393216 0 2 0 0 6553600 5242880 5242880 0.01875 0.25 0 0 -1.7025740816105e-09
+
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 0 5242880 5242880 0.025 -1 0 0 0
+524288 0 0 0 0 524288 5242880 5242880 0.025 -0.9 0 0 0
+524288 0 0 0 0 1048576 5242880 5242880 0.025 -0.8 0 0 0
+524288 0 0 0 0 1572864 5242880 5242880 0.025 -0.7 0 0 0
+524288 0 0 0 0 2097152 5242880 5242880 0.025 -0.6 0 0 0
+524288 0 0 0 0 2621440 5242880 5242880 0.025 -0.5 0 0 0
+524288 0 0 0 0 3145728 5242880 5242880 0.025 -0.4 0 0 0
+524288 0 0 0 0 3670016 5242880 5242880 0.025 -0.3 0 0 0
+524288 0 0 0 0 4194304 5242880 5242880 0.025 -0.2 0 0 4.80161119198463e-11
+524288 0 0 0 0 4718592 5242880 5242880 0.025 -0.1 0 0 -3.71976833594504e-10
+524288 0 0 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 0 0 0 5767168 5242880 5242880 0.025 0.1 0 0 3.71976833594504e-10
+524288 0 0 0 0 6291456 5242880 5242880 0.025 0.2 0 0 -4.80161119198463e-11
+524288 0 0 0 0 6815744 5242880 5242880 0.025 0.3 0 0 0
+524288 0 0 0 0 7340032 5242880 5242880 0.025 0.4 0 0 0
+524288 0 0 0 0 7864320 5242880 5242880 0.025 0.5 0 0 0
+524288 0 0 0 0 8388608 5242880 5242880 0.025 0.6 0 0 0
+524288 0 0 0 0 8912896 5242880 5242880 0.025 0.7 0 0 0
+524288 0 0 0 0 9437184 5242880 5242880 0.025 0.8 0 0 0
+524288 0 0 0 0 9961472 5242880 5242880 0.025 0.9 0 0 0
+524288 0 0 0 0 10485760 5242880 5242880 0.025 1 0 0 0
+
+
+# iteration 524288
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 1 0 0 2621440 5242880 5242880 0.025 -0.5 0 0 0
+524288 0 1 0 0 2883584 5242880 5242880 0.025 -0.45 0 0 0
+524288 0 1 0 0 3145728 5242880 5242880 0.025 -0.4 0 0 0
+524288 0 1 0 0 3407872 5242880 5242880 0.025 -0.35 0 0 -3.0010069949904e-12
+524288 0 1 0 0 3670016 5242880 5242880 0.025 -0.3 0 0 0
+524288 0 1 0 0 3932160 5242880 5242880 0.025 -0.25 0 0 5.02576150545701e-11
+524288 0 1 0 0 4194304 5242880 5242880 0.025 -0.2 0 0 4.80161119198463e-11
+524288 0 1 0 0 4456448 5242880 5242880 0.025 -0.15 0 0 3.65377977873393e-10
+524288 0 1 0 0 4718592 5242880 5242880 0.025 -0.1 0 0 -3.71976833594504e-10
+524288 0 1 0 0 4980736 5242880 5242880 0.025 -0.05 0 0 -2.64427137593633e-12
+524288 0 1 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 1 0 0 5505024 5242880 5242880 0.025 0.05 0 0 2.64427137593633e-12
+524288 0 1 0 0 5767168 5242880 5242880 0.025 0.1 0 0 3.71976833594504e-10
+524288 0 1 0 0 6029312 5242880 5242880 0.025 0.15 0 0 -3.65377977873393e-10
+524288 0 1 0 0 6291456 5242880 5242880 0.025 0.2 0 0 -4.80161119198463e-11
+524288 0 1 0 0 6553600 5242880 5242880 0.025 0.25 0 0 -5.02576150545701e-11
+524288 0 1 0 0 6815744 5242880 5242880 0.025 0.3 0 0 0
+524288 0 1 0 0 7077888 5242880 5242880 0.025 0.35 0 0 3.0010069949904e-12
+524288 0 1 0 0 7340032 5242880 5242880 0.025 0.4 0 0 0
+524288 0 1 0 0 7602176 5242880 5242880 0.025 0.45 0 0 0
+524288 0 1 0 0 7864320 5242880 5242880 0.025 0.5 0 0 0
+
+
+# iteration 524288
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 2 0 0 3932160 5242880 5242880 0.025 -0.25 0 0 5.02576150545701e-11
+524288 0 2 0 0 4063232 5242880 5242880 0.025 -0.225 0 0 3.24428478060221e-11
+524288 0 2 0 0 4194304 5242880 5242880 0.025 -0.2 0 0 4.80161119198463e-11
+524288 0 2 0 0 4325376 5242880 5242880 0.025 -0.175 0 0 2.52641626667443e-10
+524288 0 2 0 0 4456448 5242880 5242880 0.025 -0.15 0 0 3.65377977873393e-10
+524288 0 2 0 0 4587520 5242880 5242880 0.025 -0.125 0 0 -6.54759637711926e-12
+524288 0 2 0 0 4718592 5242880 5242880 0.025 -0.1 0 0 -3.71976833594504e-10
+524288 0 2 0 0 4849664 5242880 5242880 0.025 -0.075 0 0 -8.34775128651562e-10
+524288 0 2 0 0 4980736 5242880 5242880 0.025 -0.05 0 0 -2.64427137593633e-12
+524288 0 2 0 0 5111808 5242880 5242880 0.025 -0.025 0 0 -1.42062519155791e-11
+524288 0 2 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 2 0 0 5373952 5242880 5242880 0.025 0.025 0 0 1.42062519155791e-11
+524288 0 2 0 0 5505024 5242880 5242880 0.025 0.05 0 0 2.64427137593633e-12
+524288 0 2 0 0 5636096 5242880 5242880 0.025 0.075 0 0 8.34775128651562e-10
+524288 0 2 0 0 5767168 5242880 5242880 0.025 0.1 0 0 3.71976833594504e-10
+524288 0 2 0 0 5898240 5242880 5242880 0.025 0.125 0 0 6.54759637711926e-12
+524288 0 2 0 0 6029312 5242880 5242880 0.025 0.15 0 0 -3.65377977873393e-10
+524288 0 2 0 0 6160384 5242880 5242880 0.025 0.175 0 0 -2.52641626667443e-10
+524288 0 2 0 0 6291456 5242880 5242880 0.025 0.2 0 0 -4.80161119198463e-11
+524288 0 2 0 0 6422528 5242880 5242880 0.025 0.225 0 0 -3.24428478060221e-11
+524288 0 2 0 0 6553600 5242880 5242880 0.025 0.25 0 0 -5.02576150545701e-11
+
+
+# iteration 655360
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 2 0 0 3932160 5242880 5242880 0.03125 -0.25 0 0 -2.03283184165604e-10
+655360 0 2 0 0 4063232 5242880 5242880 0.03125 -0.225 0 0 -1.10218192534204e-10
+655360 0 2 0 0 4194304 5242880 5242880 0.03125 -0.2 0 0 6.71560801759896e-11
+655360 0 2 0 0 4325376 5242880 5242880 0.03125 -0.175 0 0 3.81864711955078e-10
+655360 0 2 0 0 4456448 5242880 5242880 0.03125 -0.15 0 0 5.43200962509205e-10
+655360 0 2 0 0 4587520 5242880 5242880 0.03125 -0.125 0 0 7.64770232818818e-11
+655360 0 2 0 0 4718592 5242880 5242880 0.03125 -0.1 0 0 -5.39370936802896e-10
+655360 0 2 0 0 4849664 5242880 5242880 0.03125 -0.075 0 0 -1.12595637443332e-09
+655360 0 2 0 0 4980736 5242880 5242880 0.03125 -0.05 0 0 -1.12561372260049e-11
+655360 0 2 0 0 5111808 5242880 5242880 0.03125 -0.025 0 0 -3.75721814771524e-11
+655360 0 2 0 0 5242880 5242880 5242880 0.03125 0 0 0 0
+655360 0 2 0 0 5373952 5242880 5242880 0.03125 0.025 0 0 3.75721814771524e-11
+655360 0 2 0 0 5505024 5242880 5242880 0.03125 0.05 0 0 1.12561372260049e-11
+655360 0 2 0 0 5636096 5242880 5242880 0.03125 0.075 0 0 1.12595637443332e-09
+655360 0 2 0 0 5767168 5242880 5242880 0.03125 0.1 0 0 5.39370936802896e-10
+655360 0 2 0 0 5898240 5242880 5242880 0.03125 0.125 0 0 -7.64770232818818e-11
+655360 0 2 0 0 6029312 5242880 5242880 0.03125 0.15 0 0 -5.43200962509205e-10
+655360 0 2 0 0 6160384 5242880 5242880 0.03125 0.175 0 0 -3.81864711955078e-10
+655360 0 2 0 0 6291456 5242880 5242880 0.03125 0.2 0 0 -6.71560801759896e-11
+655360 0 2 0 0 6422528 5242880 5242880 0.03125 0.225 0 0 1.10218192534204e-10
+655360 0 2 0 0 6553600 5242880 5242880 0.03125 0.25 0 0 2.03283184165604e-10
+
+
+# iteration 786432
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 1 0 0 2621440 5242880 5242880 0.0375 -0.5 0 0 -3.17246229286638e-14
+786432 0 1 0 0 2883584 5242880 5242880 0.0375 -0.45 0 0 1.04805866676244e-12
+786432 0 1 0 0 3145728 5242880 5242880 0.0375 -0.4 0 0 4.56771773182929e-13
+786432 0 1 0 0 3407872 5242880 5242880 0.0375 -0.35 0 0 -1.77414430260585e-11
+786432 0 1 0 0 3670016 5242880 5242880 0.0375 -0.3 0 0 -1.29435143159107e-11
+786432 0 1 0 0 3932160 5242880 5242880 0.0375 -0.25 0 0 1.14095870609471e-10
+786432 0 1 0 0 4194304 5242880 5242880 0.0375 -0.2 0 0 8.3050656629613e-11
+786432 0 1 0 0 4456448 5242880 5242880 0.0375 -0.15 0 0 7.1777994427776e-10
+786432 0 1 0 0 4718592 5242880 5242880 0.0375 -0.1 0 0 -6.90806513844085e-10
+786432 0 1 0 0 4980736 5242880 5242880 0.0375 -0.05 0 0 -2.86001292093552e-11
+786432 0 1 0 0 5242880 5242880 5242880 0.0375 0 0 0 0
+786432 0 1 0 0 5505024 5242880 5242880 0.0375 0.05 0 0 2.86001292093552e-11
+786432 0 1 0 0 5767168 5242880 5242880 0.0375 0.1 0 0 6.90806513844085e-10
+786432 0 1 0 0 6029312 5242880 5242880 0.0375 0.15 0 0 -7.1777994427776e-10
+786432 0 1 0 0 6291456 5242880 5242880 0.0375 0.2 0 0 -8.3050656629613e-11
+786432 0 1 0 0 6553600 5242880 5242880 0.0375 0.25 0 0 -1.14095870609471e-10
+786432 0 1 0 0 6815744 5242880 5242880 0.0375 0.3 0 0 1.29435143159107e-11
+786432 0 1 0 0 7077888 5242880 5242880 0.0375 0.35 0 0 1.77414430260585e-11
+786432 0 1 0 0 7340032 5242880 5242880 0.0375 0.4 0 0 -4.56771773182929e-13
+786432 0 1 0 0 7602176 5242880 5242880 0.0375 0.45 0 0 -1.04805866676244e-12
+786432 0 1 0 0 7864320 5242880 5242880 0.0375 0.5 0 0 3.17246229286638e-14
+
+
+# iteration 786432
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 2 0 0 3932160 5242880 5242880 0.0375 -0.25 0 0 1.14095870609471e-10
+786432 0 2 0 0 4063232 5242880 5242880 0.0375 -0.225 0 0 6.68426446993694e-11
+786432 0 2 0 0 4194304 5242880 5242880 0.0375 -0.2 0 0 8.3050656629613e-11
+786432 0 2 0 0 4325376 5242880 5242880 0.0375 -0.175 0 0 4.8651162821256e-10
+786432 0 2 0 0 4456448 5242880 5242880 0.0375 -0.15 0 0 7.1777994427776e-10
+786432 0 2 0 0 4587520 5242880 5242880 0.0375 -0.125 0 0 1.17693966551757e-11
+786432 0 2 0 0 4718592 5242880 5242880 0.0375 -0.1 0 0 -6.90806513844085e-10
+786432 0 2 0 0 4849664 5242880 5242880 0.0375 -0.075 0 0 -1.37983248438278e-09
+786432 0 2 0 0 4980736 5242880 5242880 0.0375 -0.05 0 0 -2.86001292093552e-11
+786432 0 2 0 0 5111808 5242880 5242880 0.0375 -0.025 0 0 -7.6696357598216e-11
+786432 0 2 0 0 5242880 5242880 5242880 0.0375 0 0 0 0
+786432 0 2 0 0 5373952 5242880 5242880 0.0375 0.025 0 0 7.6696357598216e-11
+786432 0 2 0 0 5505024 5242880 5242880 0.0375 0.05 0 0 2.86001292093552e-11
+786432 0 2 0 0 5636096 5242880 5242880 0.0375 0.075 0 0 1.37983248438278e-09
+786432 0 2 0 0 5767168 5242880 5242880 0.0375 0.1 0 0 6.90806513844085e-10
+786432 0 2 0 0 5898240 5242880 5242880 0.0375 0.125 0 0 -1.17693966551757e-11
+786432 0 2 0 0 6029312 5242880 5242880 0.0375 0.15 0 0 -7.1777994427776e-10
+786432 0 2 0 0 6160384 5242880 5242880 0.0375 0.175 0 0 -4.8651162821256e-10
+786432 0 2 0 0 6291456 5242880 5242880 0.0375 0.2 0 0 -8.3050656629613e-11
+786432 0 2 0 0 6422528 5242880 5242880 0.0375 0.225 0 0 -6.68426446993694e-11
+786432 0 2 0 0 6553600 5242880 5242880 0.0375 0.25 0 0 -1.14095870609471e-10
+
+
+# iteration 917504
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 2 0 0 3932160 5242880 5242880 0.04375 -0.25 0 0 1.55692360393826e-10
+917504 0 2 0 0 4063232 5242880 5242880 0.04375 -0.225 0 0 8.98292153340505e-11
+917504 0 2 0 0 4194304 5242880 5242880 0.04375 -0.2 0 0 9.87482959985408e-11
+917504 0 2 0 0 4325376 5242880 5242880 0.04375 -0.175 0 0 5.82061050143167e-10
+917504 0 2 0 0 4456448 5242880 5242880 0.04375 -0.15 0 0 8.7534961223934e-10
+917504 0 2 0 0 4587520 5242880 5242880 0.04375 -0.125 0 0 9.97820270600842e-11
+917504 0 2 0 0 4718592 5242880 5242880 0.04375 -0.1 0 0 -7.99350738378557e-10
+917504 0 2 0 0 4849664 5242880 5242880 0.04375 -0.075 0 0 -1.58914841471199e-09
+917504 0 2 0 0 4980736 5242880 5242880 0.04375 -0.05 0 0 -5.6796509625053e-11
+917504 0 2 0 0 5111808 5242880 5242880 0.04375 -0.025 0 0 -1.33697386495157e-10
+917504 0 2 0 0 5242880 5242880 5242880 0.04375 0 0 0 0
+917504 0 2 0 0 5373952 5242880 5242880 0.04375 0.025 0 0 1.33697386495157e-10
+917504 0 2 0 0 5505024 5242880 5242880 0.04375 0.05 0 0 5.6796509625053e-11
+917504 0 2 0 0 5636096 5242880 5242880 0.04375 0.075 0 0 1.58914841471199e-09
+917504 0 2 0 0 5767168 5242880 5242880 0.04375 0.1 0 0 7.99350738378557e-10
+917504 0 2 0 0 5898240 5242880 5242880 0.04375 0.125 0 0 -9.97820270600842e-11
+917504 0 2 0 0 6029312 5242880 5242880 0.04375 0.15 0 0 -8.7534961223934e-10
+917504 0 2 0 0 6160384 5242880 5242880 0.04375 0.175 0 0 -5.82061050143167e-10
+917504 0 2 0 0 6291456 5242880 5242880 0.04375 0.2 0 0 -9.87482959985408e-11
+917504 0 2 0 0 6422528 5242880 5242880 0.04375 0.225 0 0 -8.98292153340505e-11
+917504 0 2 0 0 6553600 5242880 5242880 0.04375 0.25 0 0 -1.55692360393826e-10
+
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 0 5242880 5242880 0.05 -1 0 0 0
+1048576 0 0 0 0 524288 5242880 5242880 0.05 -0.9 0 0 0
+1048576 0 0 0 0 1048576 5242880 5242880 0.05 -0.8 0 0 0
+1048576 0 0 0 0 1572864 5242880 5242880 0.05 -0.7 0 0 0
+1048576 0 0 0 0 2097152 5242880 5242880 0.05 -0.6 0 0 0
+1048576 0 0 0 0 2621440 5242880 5242880 0.05 -0.5 0 0 -8.45989944764369e-14
+1048576 0 0 0 0 3145728 5242880 5242880 0.05 -0.4 0 0 1.21805806182114e-12
+1048576 0 0 0 0 3670016 5242880 5242880 0.05 -0.3 0 0 -3.45160381757618e-11
+1048576 0 0 0 0 4194304 5242880 5242880 0.05 -0.2 0 0 1.13232846710165e-10
+1048576 0 0 0 0 4718592 5242880 5242880 0.05 -0.1 0 0 -8.77529424125889e-10
+1048576 0 0 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 0 0 0 5767168 5242880 5242880 0.05 0.1 0 0 8.77529424125889e-10
+1048576 0 0 0 0 6291456 5242880 5242880 0.05 0.2 0 0 -1.13232846710165e-10
+1048576 0 0 0 0 6815744 5242880 5242880 0.05 0.3 0 0 3.45160381757618e-11
+1048576 0 0 0 0 7340032 5242880 5242880 0.05 0.4 0 0 -1.21805806182114e-12
+1048576 0 0 0 0 7864320 5242880 5242880 0.05 0.5 0 0 8.45989944764369e-14
+1048576 0 0 0 0 8388608 5242880 5242880 0.05 0.6 0 0 0
+1048576 0 0 0 0 8912896 5242880 5242880 0.05 0.7 0 0 0
+1048576 0 0 0 0 9437184 5242880 5242880 0.05 0.8 0 0 0
+1048576 0 0 0 0 9961472 5242880 5242880 0.05 0.9 0 0 0
+1048576 0 0 0 0 10485760 5242880 5242880 0.05 1 0 0 0
+
+
+# iteration 1048576
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 1 0 0 2621440 5242880 5242880 0.05 -0.5 0 0 -8.45989944764369e-14
+1048576 0 1 0 0 2883584 5242880 5242880 0.05 -0.45 0 0 2.79482311136651e-12
+1048576 0 1 0 0 3145728 5242880 5242880 0.05 -0.4 0 0 1.21805806182114e-12
+1048576 0 1 0 0 3407872 5242880 5242880 0.05 -0.35 0 0 -2.58018792963222e-11
+1048576 0 1 0 0 3670016 5242880 5242880 0.05 -0.3 0 0 -3.45160381757618e-11
+1048576 0 1 0 0 3932160 5242880 5242880 0.05 -0.25 0 0 9.90476651796061e-11
+1048576 0 1 0 0 4194304 5242880 5242880 0.05 -0.2 0 0 1.13232846710165e-10
+1048576 0 1 0 0 4456448 5242880 5242880 0.05 -0.15 0 0 1.02049840337385e-09
+1048576 0 1 0 0 4718592 5242880 5242880 0.05 -0.1 0 0 -8.77529424125889e-10
+1048576 0 1 0 0 4980736 5242880 5242880 0.05 -0.05 0 0 -9.69948542780171e-11
+1048576 0 1 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 1 0 0 5505024 5242880 5242880 0.05 0.05 0 0 9.69948542780171e-11
+1048576 0 1 0 0 5767168 5242880 5242880 0.05 0.1 0 0 8.77529424125889e-10
+1048576 0 1 0 0 6029312 5242880 5242880 0.05 0.15 0 0 -1.02049840337385e-09
+1048576 0 1 0 0 6291456 5242880 5242880 0.05 0.2 0 0 -1.13232846710165e-10
+1048576 0 1 0 0 6553600 5242880 5242880 0.05 0.25 0 0 -9.90476651796061e-11
+1048576 0 1 0 0 6815744 5242880 5242880 0.05 0.3 0 0 3.45160381757618e-11
+1048576 0 1 0 0 7077888 5242880 5242880 0.05 0.35 0 0 2.58018792963222e-11
+1048576 0 1 0 0 7340032 5242880 5242880 0.05 0.4 0 0 -1.21805806182114e-12
+1048576 0 1 0 0 7602176 5242880 5242880 0.05 0.45 0 0 -2.79482311136651e-12
+1048576 0 1 0 0 7864320 5242880 5242880 0.05 0.5 0 0 8.45989944764369e-14
+
+
+# iteration 1048576
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 2 0 0 3932160 5242880 5242880 0.05 -0.25 0 0 9.90476651796061e-11
+1048576 0 2 0 0 4063232 5242880 5242880 0.05 -0.225 0 0 5.77838901131156e-11
+1048576 0 2 0 0 4194304 5242880 5242880 0.05 -0.2 0 0 1.13232846710165e-10
+1048576 0 2 0 0 4325376 5242880 5242880 0.05 -0.175 0 0 6.86378938106402e-10
+1048576 0 2 0 0 4456448 5242880 5242880 0.05 -0.15 0 0 1.02049840337385e-09
+1048576 0 2 0 0 4587520 5242880 5242880 0.05 -0.125 0 0 7.940517629997e-11
+1048576 0 2 0 0 4718592 5242880 5242880 0.05 -0.1 0 0 -8.77529424125889e-10
+1048576 0 2 0 0 4849664 5242880 5242880 0.05 -0.075 0 0 -1.74812777216834e-09
+1048576 0 2 0 0 4980736 5242880 5242880 0.05 -0.05 0 0 -9.69948542780171e-11
+1048576 0 2 0 0 5111808 5242880 5242880 0.05 -0.025 0 0 -2.09176403050589e-10
+1048576 0 2 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 2 0 0 5373952 5242880 5242880 0.05 0.025 0 0 2.09176403050589e-10
+1048576 0 2 0 0 5505024 5242880 5242880 0.05 0.05 0 0 9.69948542780171e-11
+1048576 0 2 0 0 5636096 5242880 5242880 0.05 0.075 0 0 1.74812777216834e-09
+1048576 0 2 0 0 5767168 5242880 5242880 0.05 0.1 0 0 8.77529424125889e-10
+1048576 0 2 0 0 5898240 5242880 5242880 0.05 0.125 0 0 -7.940517629997e-11
+1048576 0 2 0 0 6029312 5242880 5242880 0.05 0.15 0 0 -1.02049840337385e-09
+1048576 0 2 0 0 6160384 5242880 5242880 0.05 0.175 0 0 -6.86378938106402e-10
+1048576 0 2 0 0 6291456 5242880 5242880 0.05 0.2 0 0 -1.13232846710165e-10
+1048576 0 2 0 0 6422528 5242880 5242880 0.05 0.225 0 0 -5.77838901131156e-11
+1048576 0 2 0 0 6553600 5242880 5242880 0.05 0.25 0 0 -9.90476651796061e-11
+
+
+# iteration 1179648
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 2 0 0 3932160 5242880 5242880 0.05625 -0.25 0 0 1.16100548303662e-10
+1179648 0 2 0 0 4063232 5242880 5242880 0.05625 -0.225 0 0 6.10234773446789e-11
+1179648 0 2 0 0 4194304 5242880 5242880 0.05625 -0.2 0 0 1.15569069071564e-10
+1179648 0 2 0 0 4325376 5242880 5242880 0.05625 -0.175 0 0 7.57218084160716e-10
+1179648 0 2 0 0 4456448 5242880 5242880 0.05625 -0.15 0 0 1.14978515973243e-09
+1179648 0 2 0 0 4587520 5242880 5242880 0.05625 -0.125 0 0 1.76389248042821e-10
+1179648 0 2 0 0 4718592 5242880 5242880 0.05625 -0.1 0 0 -9.02082302374948e-10
+1179648 0 2 0 0 4849664 5242880 5242880 0.05625 -0.075 0 0 -1.85227602700344e-09
+1179648 0 2 0 0 4980736 5242880 5242880 0.05625 -0.05 0 0 -1.4924199145024e-10
+1179648 0 2 0 0 5111808 5242880 5242880 0.05625 -0.025 0 0 -3.02089459928527e-10
+1179648 0 2 0 0 5242880 5242880 5242880 0.05625 0 0 0 0
+1179648 0 2 0 0 5373952 5242880 5242880 0.05625 0.025 0 0 3.02089459928527e-10
+1179648 0 2 0 0 5505024 5242880 5242880 0.05625 0.05 0 0 1.4924199145024e-10
+1179648 0 2 0 0 5636096 5242880 5242880 0.05625 0.075 0 0 1.85227602700344e-09
+1179648 0 2 0 0 5767168 5242880 5242880 0.05625 0.1 0 0 9.02082302374948e-10
+1179648 0 2 0 0 5898240 5242880 5242880 0.05625 0.125 0 0 -1.76389248042821e-10
+1179648 0 2 0 0 6029312 5242880 5242880 0.05625 0.15 0 0 -1.14978515973243e-09
+1179648 0 2 0 0 6160384 5242880 5242880 0.05625 0.175 0 0 -7.57218084160716e-10
+1179648 0 2 0 0 6291456 5242880 5242880 0.05625 0.2 0 0 -1.15569069071564e-10
+1179648 0 2 0 0 6422528 5242880 5242880 0.05625 0.225 0 0 -6.10234773446789e-11
+1179648 0 2 0 0 6553600 5242880 5242880 0.05625 0.25 0 0 -1.16100548303662e-10
+
+
+# iteration 1310720
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 1 0 0 2621440 5242880 5242880 0.0625 -0.5 0 0 -3.04437898501764e-13
+1310720 0 1 0 0 2883584 5242880 5242880 0.0625 -0.45 0 0 4.38967709837784e-12
+1310720 0 1 0 0 3145728 5242880 5242880 0.0625 -0.4 0 0 3.11205401726244e-12
+1310720 0 1 0 0 3407872 5242880 5242880 0.0625 -0.35 0 0 -3.66809800849549e-11
+1310720 0 1 0 0 3670016 5242880 5242880 0.0625 -0.3 0 0 -4.49737374078052e-11
+1310720 0 1 0 0 3932160 5242880 5242880 0.0625 -0.25 0 0 1.49538088653709e-10
+1310720 0 1 0 0 4194304 5242880 5242880 0.0625 -0.2 0 0 1.09402042980378e-10
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+1310720 0 1 0 0 6291456 5242880 5242880 0.0625 0.2 0 0 -1.09402042980378e-10
+1310720 0 1 0 0 6553600 5242880 5242880 0.0625 0.25 0 0 -1.49538088653709e-10
+1310720 0 1 0 0 6815744 5242880 5242880 0.0625 0.3 0 0 4.49737374078052e-11
+1310720 0 1 0 0 7077888 5242880 5242880 0.0625 0.35 0 0 3.66809800849549e-11
+1310720 0 1 0 0 7340032 5242880 5242880 0.0625 0.4 0 0 -3.11205401726244e-12
+1310720 0 1 0 0 7602176 5242880 5242880 0.0625 0.45 0 0 -4.38967709837784e-12
+1310720 0 1 0 0 7864320 5242880 5242880 0.0625 0.5 0 0 3.04437898501764e-13
+
+
+# iteration 1310720
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 2 0 0 3932160 5242880 5242880 0.0625 -0.25 0 0 1.49538088653709e-10
+1310720 0 2 0 0 4063232 5242880 5242880 0.0625 -0.225 0 0 6.94423742593689e-11
+1310720 0 2 0 0 4194304 5242880 5242880 0.0625 -0.2 0 0 1.09402042980378e-10
+1310720 0 2 0 0 4325376 5242880 5242880 0.0625 -0.175 0 0 8.18554005637242e-10
+1310720 0 2 0 0 4456448 5242880 5242880 0.0625 -0.15 0 0 1.26435693396469e-09
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+1310720 0 2 0 0 4718592 5242880 5242880 0.0625 -0.1 0 0 -8.82571386343993e-10
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+1310720 0 2 0 0 4980736 5242880 5242880 0.0625 -0.05 0 0 -2.12154000385952e-10
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+1310720 0 2 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
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+1310720 0 2 0 0 5505024 5242880 5242880 0.0625 0.05 0 0 2.12154000385952e-10
+1310720 0 2 0 0 5636096 5242880 5242880 0.0625 0.075 0 0 1.89863267700356e-09
+1310720 0 2 0 0 5767168 5242880 5242880 0.0625 0.1 0 0 8.82571386343993e-10
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+1310720 0 2 0 0 6029312 5242880 5242880 0.0625 0.15 0 0 -1.26435693396469e-09
+1310720 0 2 0 0 6160384 5242880 5242880 0.0625 0.175 0 0 -8.18554005637242e-10
+1310720 0 2 0 0 6291456 5242880 5242880 0.0625 0.2 0 0 -1.09402042980378e-10
+1310720 0 2 0 0 6422528 5242880 5242880 0.0625 0.225 0 0 -6.94423742593689e-11
+1310720 0 2 0 0 6553600 5242880 5242880 0.0625 0.25 0 0 -1.49538088653709e-10
+
+
+# iteration 1441792
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 2 0 0 3932160 5242880 5242880 0.06875 -0.25 0 0 1.81307149993657e-10
+1441792 0 2 0 0 4063232 5242880 5242880 0.06875 -0.225 0 0 7.7773652278003e-11
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+1441792 0 2 0 0 4718592 5242880 5242880 0.06875 -0.1 0 0 -8.06391597015418e-10
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+1441792 0 2 0 0 5242880 5242880 5242880 0.06875 0 0 0 0
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+1441792 0 2 0 0 5505024 5242880 5242880 0.06875 0.05 0 0 2.82855130521546e-10
+1441792 0 2 0 0 5636096 5242880 5242880 0.06875 0.075 0 0 1.88530306181415e-09
+1441792 0 2 0 0 5767168 5242880 5242880 0.06875 0.1 0 0 8.06391597015418e-10
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+1441792 0 2 0 0 6029312 5242880 5242880 0.06875 0.15 0 0 -1.36522779944452e-09
+1441792 0 2 0 0 6160384 5242880 5242880 0.06875 0.175 0 0 -8.64003737307137e-10
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+1441792 0 2 0 0 6553600 5242880 5242880 0.06875 0.25 0 0 -1.81307149993657e-10
+
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 0 5242880 5242880 0.075 -1 0 0 0
+1572864 0 0 0 0 524288 5242880 5242880 0.075 -0.9 0 0 0
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+1572864 0 0 0 0 4194304 5242880 5242880 0.075 -0.2 0 0 9.43000122433091e-11
+1572864 0 0 0 0 4718592 5242880 5242880 0.075 -0.1 0 0 -6.75829822660567e-10
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+1572864 0 0 0 0 6815744 5242880 5242880 0.075 0.3 0 0 5.08978900692902e-11
+1572864 0 0 0 0 7340032 5242880 5242880 0.075 0.4 0 0 -5.86269458905756e-12
+1572864 0 0 0 0 7864320 5242880 5242880 0.075 0.5 0 0 6.42636407051829e-13
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+1572864 0 0 0 0 8912896 5242880 5242880 0.075 0.7 0 0 1.35771024053118e-15
+1572864 0 0 0 0 9437184 5242880 5242880 0.075 0.8 0 0 0
+1572864 0 0 0 0 9961472 5242880 5242880 0.075 0.9 0 0 0
+1572864 0 0 0 0 10485760 5242880 5242880 0.075 1 0 0 0
+
+
+# iteration 1572864
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 1 0 0 2621440 5242880 5242880 0.075 -0.5 0 0 -6.42636407051829e-13
+1572864 0 1 0 0 2883584 5242880 5242880 0.075 -0.45 0 0 6.11615937294123e-12
+1572864 0 1 0 0 3145728 5242880 5242880 0.075 -0.4 0 0 5.86269458905756e-12
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+1572864 0 1 0 0 3932160 5242880 5242880 0.075 -0.25 0 0 6.6286639227355e-11
+1572864 0 1 0 0 4194304 5242880 5242880 0.075 -0.2 0 0 9.43000122433091e-11
+1572864 0 1 0 0 4456448 5242880 5242880 0.075 -0.15 0 0 1.45205973171395e-09
+1572864 0 1 0 0 4718592 5242880 5242880 0.075 -0.1 0 0 -6.75829822660567e-10
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+1572864 0 1 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+1572864 0 1 0 0 5505024 5242880 5242880 0.075 0.05 0 0 3.56851564501752e-10
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+1572864 0 1 0 0 6291456 5242880 5242880 0.075 0.2 0 0 -9.43000122433091e-11
+1572864 0 1 0 0 6553600 5242880 5242880 0.075 0.25 0 0 -6.6286639227355e-11
+1572864 0 1 0 0 6815744 5242880 5242880 0.075 0.3 0 0 5.08978900692902e-11
+1572864 0 1 0 0 7077888 5242880 5242880 0.075 0.35 0 0 3.1185883447397e-11
+1572864 0 1 0 0 7340032 5242880 5242880 0.075 0.4 0 0 -5.86269458905756e-12
+1572864 0 1 0 0 7602176 5242880 5242880 0.075 0.45 0 0 -6.11615937294123e-12
+1572864 0 1 0 0 7864320 5242880 5242880 0.075 0.5 0 0 6.42636407051829e-13
+
+
+# iteration 1572864
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 2 0 0 3932160 5242880 5242880 0.075 -0.25 0 0 6.6286639227355e-11
+1572864 0 2 0 0 4063232 5242880 5242880 0.075 -0.225 0 0 2.75737634945702e-12
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+1572864 0 2 0 0 4980736 5242880 5242880 0.075 -0.05 0 0 -3.56851564501752e-10
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+1572864 0 2 0 0 6029312 5242880 5242880 0.075 0.15 0 0 -1.45205973171395e-09
+1572864 0 2 0 0 6160384 5242880 5242880 0.075 0.175 0 0 -9.07923804940536e-10
+1572864 0 2 0 0 6291456 5242880 5242880 0.075 0.2 0 0 -9.43000122433091e-11
+1572864 0 2 0 0 6422528 5242880 5242880 0.075 0.225 0 0 -2.75737634945702e-12
+1572864 0 2 0 0 6553600 5242880 5242880 0.075 0.25 0 0 -6.6286639227355e-11
+
+
+# iteration 1703936
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 2 0 0 3932160 5242880 5242880 0.08125 -0.25 0 0 6.96062224198494e-11
+1703936 0 2 0 0 4063232 5242880 5242880 0.08125 -0.225 0 0 -1.10388286118339e-11
+1703936 0 2 0 0 4194304 5242880 5242880 0.08125 -0.2 0 0 7.52374759716012e-11
+1703936 0 2 0 0 4325376 5242880 5242880 0.08125 -0.175 0 0 9.3008305679465e-10
+1703936 0 2 0 0 4456448 5242880 5242880 0.08125 -0.15 0 0 1.52889975737573e-09
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+1703936 0 2 0 0 4718592 5242880 5242880 0.08125 -0.1 0 0 -4.94475691873812e-10
+1703936 0 2 0 0 4849664 5242880 5242880 0.08125 -0.075 0 0 -1.67817614897074e-09
+1703936 0 2 0 0 4980736 5242880 5242880 0.08125 -0.05 0 0 -4.281106418443e-10
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+1703936 0 2 0 0 5242880 5242880 5242880 0.08125 0 0 0 0
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+1703936 0 2 0 0 5505024 5242880 5242880 0.08125 0.05 0 0 4.281106418443e-10
+1703936 0 2 0 0 5636096 5242880 5242880 0.08125 0.075 0 0 1.67817614897074e-09
+1703936 0 2 0 0 5767168 5242880 5242880 0.08125 0.1 0 0 4.94475691873812e-10
+1703936 0 2 0 0 5898240 5242880 5242880 0.08125 0.125 0 0 -5.89320989216024e-10
+1703936 0 2 0 0 6029312 5242880 5242880 0.08125 0.15 0 0 -1.52889975737573e-09
+1703936 0 2 0 0 6160384 5242880 5242880 0.08125 0.175 0 0 -9.3008305679465e-10
+1703936 0 2 0 0 6291456 5242880 5242880 0.08125 0.2 0 0 -7.52374759716012e-11
+1703936 0 2 0 0 6422528 5242880 5242880 0.08125 0.225 0 0 1.10388286118339e-11
+1703936 0 2 0 0 6553600 5242880 5242880 0.08125 0.25 0 0 -6.96062224198494e-11
+
+
+# iteration 1835008
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 1 0 0 2621440 5242880 5242880 0.0875 -0.5 0 0 -1.14959691072114e-12
+1835008 0 1 0 0 2883584 5242880 5242880 0.0875 -0.45 0 0 7.22601572039165e-12
+1835008 0 1 0 0 3145728 5242880 5242880 0.0875 -0.4 0 0 9.22265678178953e-12
+1835008 0 1 0 0 3407872 5242880 5242880 0.0875 -0.35 0 0 -2.91131087878753e-11
+1835008 0 1 0 0 3670016 5242880 5242880 0.0875 -0.3 0 0 -4.30227031662326e-11
+1835008 0 1 0 0 3932160 5242880 5242880 0.0875 -0.25 0 0 1.02889344216125e-10
+1835008 0 1 0 0 4194304 5242880 5242880 0.0875 -0.2 0 0 4.8500592431111e-11
+1835008 0 1 0 0 4456448 5242880 5242880 0.0875 -0.15 0 0 1.59439886756226e-09
+1835008 0 1 0 0 4718592 5242880 5242880 0.0875 -0.1 0 0 -2.54991675922393e-10
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+1835008 0 1 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
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+1835008 0 1 0 0 6291456 5242880 5242880 0.0875 0.2 0 0 -4.8500592431111e-11
+1835008 0 1 0 0 6553600 5242880 5242880 0.0875 0.25 0 0 -1.02889344216125e-10
+1835008 0 1 0 0 6815744 5242880 5242880 0.0875 0.3 0 0 4.30227031662326e-11
+1835008 0 1 0 0 7077888 5242880 5242880 0.0875 0.35 0 0 2.91131087878753e-11
+1835008 0 1 0 0 7340032 5242880 5242880 0.0875 0.4 0 0 -9.22265678178953e-12
+1835008 0 1 0 0 7602176 5242880 5242880 0.0875 0.45 0 0 -7.22601572039165e-12
+1835008 0 1 0 0 7864320 5242880 5242880 0.0875 0.5 0 0 1.14959691072114e-12
+
+
+# iteration 1835008
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 2 0 0 3932160 5242880 5242880 0.0875 -0.25 0 0 1.02889344216125e-10
+1835008 0 2 0 0 4063232 5242880 5242880 0.0875 -0.225 0 0 -1.18041709106814e-11
+1835008 0 2 0 0 4194304 5242880 5242880 0.0875 -0.2 0 0 4.8500592431111e-11
+1835008 0 2 0 0 4325376 5242880 5242880 0.0875 -0.175 0 0 9.33637341977913e-10
+1835008 0 2 0 0 4456448 5242880 5242880 0.0875 -0.15 0 0 1.59439886756226e-09
+1835008 0 2 0 0 4587520 5242880 5242880 0.0875 -0.125 0 0 7.8096373624358e-10
+1835008 0 2 0 0 4718592 5242880 5242880 0.0875 -0.1 0 0 -2.54991675922393e-10
+1835008 0 2 0 0 4849664 5242880 5242880 0.0875 -0.075 0 0 -1.48597429731427e-09
+1835008 0 2 0 0 4980736 5242880 5242880 0.0875 -0.05 0 0 -4.89255647569594e-10
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+1835008 0 2 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
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+1835008 0 2 0 0 6029312 5242880 5242880 0.0875 0.15 0 0 -1.59439886756226e-09
+1835008 0 2 0 0 6160384 5242880 5242880 0.0875 0.175 0 0 -9.33637341977913e-10
+1835008 0 2 0 0 6291456 5242880 5242880 0.0875 0.2 0 0 -4.8500592431111e-11
+1835008 0 2 0 0 6422528 5242880 5242880 0.0875 0.225 0 0 1.18041709106814e-11
+1835008 0 2 0 0 6553600 5242880 5242880 0.0875 0.25 0 0 -1.02889344216125e-10
+
+
+# iteration 1966080
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 2 0 0 3932160 5242880 5242880 0.09375 -0.25 0 0 1.34436501201734e-10
+1966080 0 2 0 0 4063232 5242880 5242880 0.09375 -0.225 0 0 -1.03885846193062e-11
+1966080 0 2 0 0 4194304 5242880 5242880 0.09375 -0.2 0 0 2.69188612372906e-11
+1966080 0 2 0 0 4325376 5242880 5242880 0.09375 -0.175 0 0 9.38286274781054e-10
+1966080 0 2 0 0 4456448 5242880 5242880 0.09375 -0.15 0 0 1.65348419736237e-09
+1966080 0 2 0 0 4587520 5242880 5242880 0.09375 -0.125 0 0 9.42916074141038e-10
+1966080 0 2 0 0 4718592 5242880 5242880 0.09375 -0.1 0 0 2.10926091407752e-11
+1966080 0 2 0 0 4849664 5242880 5242880 0.09375 -0.075 0 0 -1.23712620703209e-09
+1966080 0 2 0 0 4980736 5242880 5242880 0.09375 -0.05 0 0 -5.31834245624345e-10
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+1966080 0 2 0 0 5242880 5242880 5242880 0.09375 0 0 0 0
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+1966080 0 2 0 0 5636096 5242880 5242880 0.09375 0.075 0 0 1.23712620703209e-09
+1966080 0 2 0 0 5767168 5242880 5242880 0.09375 0.1 0 0 -2.10926091407752e-11
+1966080 0 2 0 0 5898240 5242880 5242880 0.09375 0.125 0 0 -9.42916074141038e-10
+1966080 0 2 0 0 6029312 5242880 5242880 0.09375 0.15 0 0 -1.65348419736237e-09
+1966080 0 2 0 0 6160384 5242880 5242880 0.09375 0.175 0 0 -9.38286274781054e-10
+1966080 0 2 0 0 6291456 5242880 5242880 0.09375 0.2 0 0 -2.69188612372906e-11
+1966080 0 2 0 0 6422528 5242880 5242880 0.09375 0.225 0 0 1.03885846193062e-11
+1966080 0 2 0 0 6553600 5242880 5242880 0.09375 0.25 0 0 -1.34436501201734e-10
+
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 0 5242880 5242880 0.1 -1 0 0 0
+2097152 0 0 0 0 524288 5242880 5242880 0.1 -0.9 0 0 -2.31296463463574e-17
+2097152 0 0 0 0 1048576 5242880 5242880 0.1 -0.8 0 0 3.46944695195361e-16
+2097152 0 0 0 0 1572864 5242880 5242880 0.1 -0.7 0 0 -1.33434929772136e-14
+2097152 0 0 0 0 2097152 5242880 5242880 0.1 -0.6 0 0 1.30913798320383e-13
+2097152 0 0 0 0 2621440 5242880 5242880 0.1 -0.5 0 0 -1.80851861264486e-12
+2097152 0 0 0 0 3145728 5242880 5242880 0.1 -0.4 0 0 1.32743815939307e-11
+2097152 0 0 0 0 3670016 5242880 5242880 0.1 -0.3 0 0 -2.44367743632938e-11
+2097152 0 0 0 0 4194304 5242880 5242880 0.1 -0.2 0 0 6.21578251832252e-12
+2097152 0 0 0 0 4718592 5242880 5242880 0.1 -0.1 0 0 3.4977364523255e-10
+2097152 0 0 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 0 0 0 5767168 5242880 5242880 0.1 0.1 0 0 -3.4977364523255e-10
+2097152 0 0 0 0 6291456 5242880 5242880 0.1 0.2 0 0 -6.21578251832252e-12
+2097152 0 0 0 0 6815744 5242880 5242880 0.1 0.3 0 0 2.44367743632938e-11
+2097152 0 0 0 0 7340032 5242880 5242880 0.1 0.4 0 0 -1.32743815939307e-11
+2097152 0 0 0 0 7864320 5242880 5242880 0.1 0.5 0 0 1.80851861264486e-12
+2097152 0 0 0 0 8388608 5242880 5242880 0.1 0.6 0 0 -1.30913798320383e-13
+2097152 0 0 0 0 8912896 5242880 5242880 0.1 0.7 0 0 1.33434929772136e-14
+2097152 0 0 0 0 9437184 5242880 5242880 0.1 0.8 0 0 -3.46944695195361e-16
+2097152 0 0 0 0 9961472 5242880 5242880 0.1 0.9 0 0 2.31296463463574e-17
+2097152 0 0 0 0 10485760 5242880 5242880 0.1 1 0 0 0
+
+
+# iteration 2097152
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 1 0 0 2621440 5242880 5242880 0.1 -0.5 0 0 -1.80851861264486e-12
+2097152 0 1 0 0 2883584 5242880 5242880 0.1 -0.45 0 0 7.96866421228411e-12
+2097152 0 1 0 0 3145728 5242880 5242880 0.1 -0.4 0 0 1.32743815939307e-11
+2097152 0 1 0 0 3407872 5242880 5242880 0.1 -0.35 0 0 -6.55429992687158e-12
+2097152 0 1 0 0 3670016 5242880 5242880 0.1 -0.3 0 0 -2.44367743632938e-11
+2097152 0 1 0 0 3932160 5242880 5242880 0.1 -0.25 0 0 -3.29398095894514e-11
+2097152 0 1 0 0 4194304 5242880 5242880 0.1 -0.2 0 0 6.21578251832252e-12
+2097152 0 1 0 0 4456448 5242880 5242880 0.1 -0.15 0 0 1.70451336841312e-09
+2097152 0 1 0 0 4718592 5242880 5242880 0.1 -0.1 0 0 3.4977364523255e-10
+2097152 0 1 0 0 4980736 5242880 5242880 0.1 -0.05 0 0 -5.46878123804569e-10
+2097152 0 1 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 1 0 0 5505024 5242880 5242880 0.1 0.05 0 0 5.46878123804569e-10
+2097152 0 1 0 0 5767168 5242880 5242880 0.1 0.1 0 0 -3.4977364523255e-10
+2097152 0 1 0 0 6029312 5242880 5242880 0.1 0.15 0 0 -1.70451336841312e-09
+2097152 0 1 0 0 6291456 5242880 5242880 0.1 0.2 0 0 -6.21578251832252e-12
+2097152 0 1 0 0 6553600 5242880 5242880 0.1 0.25 0 0 3.29398095894514e-11
+2097152 0 1 0 0 6815744 5242880 5242880 0.1 0.3 0 0 2.44367743632938e-11
+2097152 0 1 0 0 7077888 5242880 5242880 0.1 0.35 0 0 6.55429992687158e-12
+2097152 0 1 0 0 7340032 5242880 5242880 0.1 0.4 0 0 -1.32743815939307e-11
+2097152 0 1 0 0 7602176 5242880 5242880 0.1 0.45 0 0 -7.96866421228411e-12
+2097152 0 1 0 0 7864320 5242880 5242880 0.1 0.5 0 0 1.80851861264486e-12
+
+
+# iteration 2097152
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 2 0 0 3932160 5242880 5242880 0.1 -0.25 0 0 -3.29398095894514e-11
+2097152 0 2 0 0 4063232 5242880 5242880 0.1 -0.225 0 0 -1.20037052355624e-10
+2097152 0 2 0 0 4194304 5242880 5242880 0.1 -0.2 0 0 6.21578251832252e-12
+2097152 0 2 0 0 4325376 5242880 5242880 0.1 -0.175 0 0 9.4248303267124e-10
+2097152 0 2 0 0 4456448 5242880 5242880 0.1 -0.15 0 0 1.70451336841312e-09
+2097152 0 2 0 0 4587520 5242880 5242880 0.1 -0.125 0 0 1.18932784150608e-09
+2097152 0 2 0 0 4718592 5242880 5242880 0.1 -0.1 0 0 3.4977364523255e-10
+2097152 0 2 0 0 4849664 5242880 5242880 0.1 -0.075 0 0 -9.3463225122233e-10
+2097152 0 2 0 0 4980736 5242880 5242880 0.1 -0.05 0 0 -5.46878123804569e-10
+2097152 0 2 0 0 5111808 5242880 5242880 0.1 -0.025 0 0 -1.03273274654203e-09
+2097152 0 2 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 2 0 0 5373952 5242880 5242880 0.1 0.025 0 0 1.03273274654203e-09
+2097152 0 2 0 0 5505024 5242880 5242880 0.1 0.05 0 0 5.46878123804569e-10
+2097152 0 2 0 0 5636096 5242880 5242880 0.1 0.075 0 0 9.3463225122233e-10
+2097152 0 2 0 0 5767168 5242880 5242880 0.1 0.1 0 0 -3.4977364523255e-10
+2097152 0 2 0 0 5898240 5242880 5242880 0.1 0.125 0 0 -1.18932784150608e-09
+2097152 0 2 0 0 6029312 5242880 5242880 0.1 0.15 0 0 -1.70451336841312e-09
+2097152 0 2 0 0 6160384 5242880 5242880 0.1 0.175 0 0 -9.4248303267124e-10
+2097152 0 2 0 0 6291456 5242880 5242880 0.1 0.2 0 0 -6.21578251832252e-12
+2097152 0 2 0 0 6422528 5242880 5242880 0.1 0.225 0 0 1.20037052355624e-10
+2097152 0 2 0 0 6553600 5242880 5242880 0.1 0.25 0 0 3.29398095894514e-11
+
+
diff --git a/Carpet/CarpetInterp/test/waveinterp/phix.y.asc b/Carpet/CarpetInterp/test/waveinterp/phix.y.asc
new file mode 100644
index 000000000..963b71ded
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phix.y.asc
@@ -0,0 +1,808 @@
+# WAVEMOL::phix y (phix)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 5242880 0 5242880 0 0 -1 0 0
+0 0 0 0 0 5242880 524288 5242880 0 0 -0.9 0 0
+0 0 0 0 0 5242880 1048576 5242880 0 0 -0.8 0 0
+0 0 0 0 0 5242880 1572864 5242880 0 0 -0.7 0 0
+0 0 0 0 0 5242880 2097152 5242880 0 0 -0.6 0 0
+0 0 0 0 0 5242880 2621440 5242880 0 0 -0.5 0 0
+0 0 0 0 0 5242880 3145728 5242880 0 0 -0.4 0 0
+0 0 0 0 0 5242880 3670016 5242880 0 0 -0.3 0 0
+0 0 0 0 0 5242880 4194304 5242880 0 0 -0.2 0 0
+0 0 0 0 0 5242880 4718592 5242880 0 0 -0.1 0 0
+0 0 0 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 0 0 0 5242880 5767168 5242880 0 0 0.1 0 0
+0 0 0 0 0 5242880 6291456 5242880 0 0 0.2 0 0
+0 0 0 0 0 5242880 6815744 5242880 0 0 0.3 0 0
+0 0 0 0 0 5242880 7340032 5242880 0 0 0.4 0 0
+0 0 0 0 0 5242880 7864320 5242880 0 0 0.5 0 0
+0 0 0 0 0 5242880 8388608 5242880 0 0 0.6 0 0
+0 0 0 0 0 5242880 8912896 5242880 0 0 0.7 0 0
+0 0 0 0 0 5242880 9437184 5242880 0 0 0.8 0 0
+0 0 0 0 0 5242880 9961472 5242880 0 0 0.9 0 0
+0 0 0 0 0 5242880 10485760 5242880 0 0 1 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 5242880 2621440 5242880 0 0 -0.5 0 0
+0 0 1 0 0 5242880 2883584 5242880 0 0 -0.45 0 0
+0 0 1 0 0 5242880 3145728 5242880 0 0 -0.4 0 0
+0 0 1 0 0 5242880 3407872 5242880 0 0 -0.35 0 0
+0 0 1 0 0 5242880 3670016 5242880 0 0 -0.3 0 0
+0 0 1 0 0 5242880 3932160 5242880 0 0 -0.25 0 0
+0 0 1 0 0 5242880 4194304 5242880 0 0 -0.2 0 0
+0 0 1 0 0 5242880 4456448 5242880 0 0 -0.15 0 0
+0 0 1 0 0 5242880 4718592 5242880 0 0 -0.1 0 0
+0 0 1 0 0 5242880 4980736 5242880 0 0 -0.05 0 0
+0 0 1 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 1 0 0 5242880 5505024 5242880 0 0 0.05 0 0
+0 0 1 0 0 5242880 5767168 5242880 0 0 0.1 0 0
+0 0 1 0 0 5242880 6029312 5242880 0 0 0.15 0 0
+0 0 1 0 0 5242880 6291456 5242880 0 0 0.2 0 0
+0 0 1 0 0 5242880 6553600 5242880 0 0 0.25 0 0
+0 0 1 0 0 5242880 6815744 5242880 0 0 0.3 0 0
+0 0 1 0 0 5242880 7077888 5242880 0 0 0.35 0 0
+0 0 1 0 0 5242880 7340032 5242880 0 0 0.4 0 0
+0 0 1 0 0 5242880 7602176 5242880 0 0 0.45 0 0
+0 0 1 0 0 5242880 7864320 5242880 0 0 0.5 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 5242880 3932160 5242880 0 0 -0.25 0 0
+0 0 2 0 0 5242880 4063232 5242880 0 0 -0.225 0 0
+0 0 2 0 0 5242880 4194304 5242880 0 0 -0.2 0 0
+0 0 2 0 0 5242880 4325376 5242880 0 0 -0.175 0 0
+0 0 2 0 0 5242880 4456448 5242880 0 0 -0.15 0 0
+0 0 2 0 0 5242880 4587520 5242880 0 0 -0.125 0 0
+0 0 2 0 0 5242880 4718592 5242880 0 0 -0.1 0 0
+0 0 2 0 0 5242880 4849664 5242880 0 0 -0.075 0 0
+0 0 2 0 0 5242880 4980736 5242880 0 0 -0.05 0 0
+0 0 2 0 0 5242880 5111808 5242880 0 0 -0.025 0 0
+0 0 2 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 2 0 0 5242880 5373952 5242880 0 0 0.025 0 0
+0 0 2 0 0 5242880 5505024 5242880 0 0 0.05 0 0
+0 0 2 0 0 5242880 5636096 5242880 0 0 0.075 0 0
+0 0 2 0 0 5242880 5767168 5242880 0 0 0.1 0 0
+0 0 2 0 0 5242880 5898240 5242880 0 0 0.125 0 0
+0 0 2 0 0 5242880 6029312 5242880 0 0 0.15 0 0
+0 0 2 0 0 5242880 6160384 5242880 0 0 0.175 0 0
+0 0 2 0 0 5242880 6291456 5242880 0 0 0.2 0 0
+0 0 2 0 0 5242880 6422528 5242880 0 0 0.225 0 0
+0 0 2 0 0 5242880 6553600 5242880 0 0 0.25 0 0
+
+
+# iteration 131072
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 2 0 0 5242880 3932160 5242880 0.00625 0 -0.25 0 0
+131072 0 2 0 0 5242880 4063232 5242880 0.00625 0 -0.225 0 0
+131072 0 2 0 0 5242880 4194304 5242880 0.00625 0 -0.2 0 0
+131072 0 2 0 0 5242880 4325376 5242880 0.00625 0 -0.175 0 0
+131072 0 2 0 0 5242880 4456448 5242880 0.00625 0 -0.15 0 0
+131072 0 2 0 0 5242880 4587520 5242880 0.00625 0 -0.125 0 0
+131072 0 2 0 0 5242880 4718592 5242880 0.00625 0 -0.1 0 0
+131072 0 2 0 0 5242880 4849664 5242880 0.00625 0 -0.075 0 0
+131072 0 2 0 0 5242880 4980736 5242880 0.00625 0 -0.05 0 0
+131072 0 2 0 0 5242880 5111808 5242880 0.00625 0 -0.025 0 0
+131072 0 2 0 0 5242880 5242880 5242880 0.00625 0 0 0 0
+131072 0 2 0 0 5242880 5373952 5242880 0.00625 0 0.025 0 0
+131072 0 2 0 0 5242880 5505024 5242880 0.00625 0 0.05 0 0
+131072 0 2 0 0 5242880 5636096 5242880 0.00625 0 0.075 0 0
+131072 0 2 0 0 5242880 5767168 5242880 0.00625 0 0.1 0 0
+131072 0 2 0 0 5242880 5898240 5242880 0.00625 0 0.125 0 0
+131072 0 2 0 0 5242880 6029312 5242880 0.00625 0 0.15 0 0
+131072 0 2 0 0 5242880 6160384 5242880 0.00625 0 0.175 0 0
+131072 0 2 0 0 5242880 6291456 5242880 0.00625 0 0.2 0 0
+131072 0 2 0 0 5242880 6422528 5242880 0.00625 0 0.225 0 0
+131072 0 2 0 0 5242880 6553600 5242880 0.00625 0 0.25 0 0
+
+
+# iteration 262144
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 1 0 0 5242880 2621440 5242880 0.0125 0 -0.5 0 0
+262144 0 1 0 0 5242880 2883584 5242880 0.0125 0 -0.45 0 0
+262144 0 1 0 0 5242880 3145728 5242880 0.0125 0 -0.4 0 0
+262144 0 1 0 0 5242880 3407872 5242880 0.0125 0 -0.35 0 0
+262144 0 1 0 0 5242880 3670016 5242880 0.0125 0 -0.3 0 0
+262144 0 1 0 0 5242880 3932160 5242880 0.0125 0 -0.25 0 0
+262144 0 1 0 0 5242880 4194304 5242880 0.0125 0 -0.2 0 0
+262144 0 1 0 0 5242880 4456448 5242880 0.0125 0 -0.15 0 0
+262144 0 1 0 0 5242880 4718592 5242880 0.0125 0 -0.1 0 0
+262144 0 1 0 0 5242880 4980736 5242880 0.0125 0 -0.05 0 0
+262144 0 1 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+262144 0 1 0 0 5242880 5505024 5242880 0.0125 0 0.05 0 0
+262144 0 1 0 0 5242880 5767168 5242880 0.0125 0 0.1 0 0
+262144 0 1 0 0 5242880 6029312 5242880 0.0125 0 0.15 0 0
+262144 0 1 0 0 5242880 6291456 5242880 0.0125 0 0.2 0 0
+262144 0 1 0 0 5242880 6553600 5242880 0.0125 0 0.25 0 0
+262144 0 1 0 0 5242880 6815744 5242880 0.0125 0 0.3 0 0
+262144 0 1 0 0 5242880 7077888 5242880 0.0125 0 0.35 0 0
+262144 0 1 0 0 5242880 7340032 5242880 0.0125 0 0.4 0 0
+262144 0 1 0 0 5242880 7602176 5242880 0.0125 0 0.45 0 0
+262144 0 1 0 0 5242880 7864320 5242880 0.0125 0 0.5 0 0
+
+
+# iteration 262144
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 2 0 0 5242880 3932160 5242880 0.0125 0 -0.25 0 0
+262144 0 2 0 0 5242880 4063232 5242880 0.0125 0 -0.225 0 0
+262144 0 2 0 0 5242880 4194304 5242880 0.0125 0 -0.2 0 0
+262144 0 2 0 0 5242880 4325376 5242880 0.0125 0 -0.175 0 0
+262144 0 2 0 0 5242880 4456448 5242880 0.0125 0 -0.15 0 0
+262144 0 2 0 0 5242880 4587520 5242880 0.0125 0 -0.125 0 0
+262144 0 2 0 0 5242880 4718592 5242880 0.0125 0 -0.1 0 0
+262144 0 2 0 0 5242880 4849664 5242880 0.0125 0 -0.075 0 0
+262144 0 2 0 0 5242880 4980736 5242880 0.0125 0 -0.05 0 0
+262144 0 2 0 0 5242880 5111808 5242880 0.0125 0 -0.025 0 0
+262144 0 2 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+262144 0 2 0 0 5242880 5373952 5242880 0.0125 0 0.025 0 0
+262144 0 2 0 0 5242880 5505024 5242880 0.0125 0 0.05 0 0
+262144 0 2 0 0 5242880 5636096 5242880 0.0125 0 0.075 0 0
+262144 0 2 0 0 5242880 5767168 5242880 0.0125 0 0.1 0 0
+262144 0 2 0 0 5242880 5898240 5242880 0.0125 0 0.125 0 0
+262144 0 2 0 0 5242880 6029312 5242880 0.0125 0 0.15 0 0
+262144 0 2 0 0 5242880 6160384 5242880 0.0125 0 0.175 0 0
+262144 0 2 0 0 5242880 6291456 5242880 0.0125 0 0.2 0 0
+262144 0 2 0 0 5242880 6422528 5242880 0.0125 0 0.225 0 0
+262144 0 2 0 0 5242880 6553600 5242880 0.0125 0 0.25 0 0
+
+
+# iteration 393216
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 2 0 0 5242880 3932160 5242880 0.01875 0 -0.25 0 0
+393216 0 2 0 0 5242880 4063232 5242880 0.01875 0 -0.225 0 0
+393216 0 2 0 0 5242880 4194304 5242880 0.01875 0 -0.2 0 0
+393216 0 2 0 0 5242880 4325376 5242880 0.01875 0 -0.175 0 0
+393216 0 2 0 0 5242880 4456448 5242880 0.01875 0 -0.15 0 0
+393216 0 2 0 0 5242880 4587520 5242880 0.01875 0 -0.125 0 0
+393216 0 2 0 0 5242880 4718592 5242880 0.01875 0 -0.1 0 0
+393216 0 2 0 0 5242880 4849664 5242880 0.01875 0 -0.075 0 0
+393216 0 2 0 0 5242880 4980736 5242880 0.01875 0 -0.05 0 0
+393216 0 2 0 0 5242880 5111808 5242880 0.01875 0 -0.025 0 0
+393216 0 2 0 0 5242880 5242880 5242880 0.01875 0 0 0 0
+393216 0 2 0 0 5242880 5373952 5242880 0.01875 0 0.025 0 0
+393216 0 2 0 0 5242880 5505024 5242880 0.01875 0 0.05 0 0
+393216 0 2 0 0 5242880 5636096 5242880 0.01875 0 0.075 0 0
+393216 0 2 0 0 5242880 5767168 5242880 0.01875 0 0.1 0 0
+393216 0 2 0 0 5242880 5898240 5242880 0.01875 0 0.125 0 0
+393216 0 2 0 0 5242880 6029312 5242880 0.01875 0 0.15 0 0
+393216 0 2 0 0 5242880 6160384 5242880 0.01875 0 0.175 0 0
+393216 0 2 0 0 5242880 6291456 5242880 0.01875 0 0.2 0 0
+393216 0 2 0 0 5242880 6422528 5242880 0.01875 0 0.225 0 0
+393216 0 2 0 0 5242880 6553600 5242880 0.01875 0 0.25 0 0
+
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 5242880 0 5242880 0.025 0 -1 0 0
+524288 0 0 0 0 5242880 524288 5242880 0.025 0 -0.9 0 0
+524288 0 0 0 0 5242880 1048576 5242880 0.025 0 -0.8 0 0
+524288 0 0 0 0 5242880 1572864 5242880 0.025 0 -0.7 0 0
+524288 0 0 0 0 5242880 2097152 5242880 0.025 0 -0.6 0 0
+524288 0 0 0 0 5242880 2621440 5242880 0.025 0 -0.5 0 0
+524288 0 0 0 0 5242880 3145728 5242880 0.025 0 -0.4 0 0
+524288 0 0 0 0 5242880 3670016 5242880 0.025 0 -0.3 0 0
+524288 0 0 0 0 5242880 4194304 5242880 0.025 0 -0.2 0 0
+524288 0 0 0 0 5242880 4718592 5242880 0.025 0 -0.1 0 0
+524288 0 0 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 0 0 0 5242880 5767168 5242880 0.025 0 0.1 0 0
+524288 0 0 0 0 5242880 6291456 5242880 0.025 0 0.2 0 0
+524288 0 0 0 0 5242880 6815744 5242880 0.025 0 0.3 0 0
+524288 0 0 0 0 5242880 7340032 5242880 0.025 0 0.4 0 0
+524288 0 0 0 0 5242880 7864320 5242880 0.025 0 0.5 0 0
+524288 0 0 0 0 5242880 8388608 5242880 0.025 0 0.6 0 0
+524288 0 0 0 0 5242880 8912896 5242880 0.025 0 0.7 0 0
+524288 0 0 0 0 5242880 9437184 5242880 0.025 0 0.8 0 0
+524288 0 0 0 0 5242880 9961472 5242880 0.025 0 0.9 0 0
+524288 0 0 0 0 5242880 10485760 5242880 0.025 0 1 0 0
+
+
+# iteration 524288
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 1 0 0 5242880 2621440 5242880 0.025 0 -0.5 0 0
+524288 0 1 0 0 5242880 2883584 5242880 0.025 0 -0.45 0 0
+524288 0 1 0 0 5242880 3145728 5242880 0.025 0 -0.4 0 0
+524288 0 1 0 0 5242880 3407872 5242880 0.025 0 -0.35 0 0
+524288 0 1 0 0 5242880 3670016 5242880 0.025 0 -0.3 0 0
+524288 0 1 0 0 5242880 3932160 5242880 0.025 0 -0.25 0 0
+524288 0 1 0 0 5242880 4194304 5242880 0.025 0 -0.2 0 0
+524288 0 1 0 0 5242880 4456448 5242880 0.025 0 -0.15 0 0
+524288 0 1 0 0 5242880 4718592 5242880 0.025 0 -0.1 0 0
+524288 0 1 0 0 5242880 4980736 5242880 0.025 0 -0.05 0 0
+524288 0 1 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 1 0 0 5242880 5505024 5242880 0.025 0 0.05 0 0
+524288 0 1 0 0 5242880 5767168 5242880 0.025 0 0.1 0 0
+524288 0 1 0 0 5242880 6029312 5242880 0.025 0 0.15 0 0
+524288 0 1 0 0 5242880 6291456 5242880 0.025 0 0.2 0 0
+524288 0 1 0 0 5242880 6553600 5242880 0.025 0 0.25 0 0
+524288 0 1 0 0 5242880 6815744 5242880 0.025 0 0.3 0 0
+524288 0 1 0 0 5242880 7077888 5242880 0.025 0 0.35 0 0
+524288 0 1 0 0 5242880 7340032 5242880 0.025 0 0.4 0 0
+524288 0 1 0 0 5242880 7602176 5242880 0.025 0 0.45 0 0
+524288 0 1 0 0 5242880 7864320 5242880 0.025 0 0.5 0 0
+
+
+# iteration 524288
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 2 0 0 5242880 3932160 5242880 0.025 0 -0.25 0 0
+524288 0 2 0 0 5242880 4063232 5242880 0.025 0 -0.225 0 0
+524288 0 2 0 0 5242880 4194304 5242880 0.025 0 -0.2 0 0
+524288 0 2 0 0 5242880 4325376 5242880 0.025 0 -0.175 0 0
+524288 0 2 0 0 5242880 4456448 5242880 0.025 0 -0.15 0 0
+524288 0 2 0 0 5242880 4587520 5242880 0.025 0 -0.125 0 0
+524288 0 2 0 0 5242880 4718592 5242880 0.025 0 -0.1 0 0
+524288 0 2 0 0 5242880 4849664 5242880 0.025 0 -0.075 0 0
+524288 0 2 0 0 5242880 4980736 5242880 0.025 0 -0.05 0 0
+524288 0 2 0 0 5242880 5111808 5242880 0.025 0 -0.025 0 0
+524288 0 2 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 2 0 0 5242880 5373952 5242880 0.025 0 0.025 0 0
+524288 0 2 0 0 5242880 5505024 5242880 0.025 0 0.05 0 0
+524288 0 2 0 0 5242880 5636096 5242880 0.025 0 0.075 0 0
+524288 0 2 0 0 5242880 5767168 5242880 0.025 0 0.1 0 0
+524288 0 2 0 0 5242880 5898240 5242880 0.025 0 0.125 0 0
+524288 0 2 0 0 5242880 6029312 5242880 0.025 0 0.15 0 0
+524288 0 2 0 0 5242880 6160384 5242880 0.025 0 0.175 0 0
+524288 0 2 0 0 5242880 6291456 5242880 0.025 0 0.2 0 0
+524288 0 2 0 0 5242880 6422528 5242880 0.025 0 0.225 0 0
+524288 0 2 0 0 5242880 6553600 5242880 0.025 0 0.25 0 0
+
+
+# iteration 655360
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 2 0 0 5242880 3932160 5242880 0.03125 0 -0.25 0 0
+655360 0 2 0 0 5242880 4063232 5242880 0.03125 0 -0.225 0 0
+655360 0 2 0 0 5242880 4194304 5242880 0.03125 0 -0.2 0 0
+655360 0 2 0 0 5242880 4325376 5242880 0.03125 0 -0.175 0 0
+655360 0 2 0 0 5242880 4456448 5242880 0.03125 0 -0.15 0 0
+655360 0 2 0 0 5242880 4587520 5242880 0.03125 0 -0.125 0 0
+655360 0 2 0 0 5242880 4718592 5242880 0.03125 0 -0.1 0 0
+655360 0 2 0 0 5242880 4849664 5242880 0.03125 0 -0.075 0 0
+655360 0 2 0 0 5242880 4980736 5242880 0.03125 0 -0.05 0 0
+655360 0 2 0 0 5242880 5111808 5242880 0.03125 0 -0.025 0 0
+655360 0 2 0 0 5242880 5242880 5242880 0.03125 0 0 0 0
+655360 0 2 0 0 5242880 5373952 5242880 0.03125 0 0.025 0 0
+655360 0 2 0 0 5242880 5505024 5242880 0.03125 0 0.05 0 0
+655360 0 2 0 0 5242880 5636096 5242880 0.03125 0 0.075 0 0
+655360 0 2 0 0 5242880 5767168 5242880 0.03125 0 0.1 0 0
+655360 0 2 0 0 5242880 5898240 5242880 0.03125 0 0.125 0 0
+655360 0 2 0 0 5242880 6029312 5242880 0.03125 0 0.15 0 0
+655360 0 2 0 0 5242880 6160384 5242880 0.03125 0 0.175 0 0
+655360 0 2 0 0 5242880 6291456 5242880 0.03125 0 0.2 0 0
+655360 0 2 0 0 5242880 6422528 5242880 0.03125 0 0.225 0 0
+655360 0 2 0 0 5242880 6553600 5242880 0.03125 0 0.25 0 0
+
+
+# iteration 786432
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 1 0 0 5242880 2621440 5242880 0.0375 0 -0.5 0 0
+786432 0 1 0 0 5242880 2883584 5242880 0.0375 0 -0.45 0 0
+786432 0 1 0 0 5242880 3145728 5242880 0.0375 0 -0.4 0 0
+786432 0 1 0 0 5242880 3407872 5242880 0.0375 0 -0.35 0 0
+786432 0 1 0 0 5242880 3670016 5242880 0.0375 0 -0.3 0 0
+786432 0 1 0 0 5242880 3932160 5242880 0.0375 0 -0.25 0 0
+786432 0 1 0 0 5242880 4194304 5242880 0.0375 0 -0.2 0 0
+786432 0 1 0 0 5242880 4456448 5242880 0.0375 0 -0.15 0 0
+786432 0 1 0 0 5242880 4718592 5242880 0.0375 0 -0.1 0 0
+786432 0 1 0 0 5242880 4980736 5242880 0.0375 0 -0.05 0 0
+786432 0 1 0 0 5242880 5242880 5242880 0.0375 0 0 0 0
+786432 0 1 0 0 5242880 5505024 5242880 0.0375 0 0.05 0 0
+786432 0 1 0 0 5242880 5767168 5242880 0.0375 0 0.1 0 0
+786432 0 1 0 0 5242880 6029312 5242880 0.0375 0 0.15 0 0
+786432 0 1 0 0 5242880 6291456 5242880 0.0375 0 0.2 0 0
+786432 0 1 0 0 5242880 6553600 5242880 0.0375 0 0.25 0 0
+786432 0 1 0 0 5242880 6815744 5242880 0.0375 0 0.3 0 0
+786432 0 1 0 0 5242880 7077888 5242880 0.0375 0 0.35 0 0
+786432 0 1 0 0 5242880 7340032 5242880 0.0375 0 0.4 0 0
+786432 0 1 0 0 5242880 7602176 5242880 0.0375 0 0.45 0 0
+786432 0 1 0 0 5242880 7864320 5242880 0.0375 0 0.5 0 0
+
+
+# iteration 786432
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 2 0 0 5242880 3932160 5242880 0.0375 0 -0.25 0 0
+786432 0 2 0 0 5242880 4063232 5242880 0.0375 0 -0.225 0 0
+786432 0 2 0 0 5242880 4194304 5242880 0.0375 0 -0.2 0 0
+786432 0 2 0 0 5242880 4325376 5242880 0.0375 0 -0.175 0 0
+786432 0 2 0 0 5242880 4456448 5242880 0.0375 0 -0.15 0 0
+786432 0 2 0 0 5242880 4587520 5242880 0.0375 0 -0.125 0 0
+786432 0 2 0 0 5242880 4718592 5242880 0.0375 0 -0.1 0 0
+786432 0 2 0 0 5242880 4849664 5242880 0.0375 0 -0.075 0 0
+786432 0 2 0 0 5242880 4980736 5242880 0.0375 0 -0.05 0 0
+786432 0 2 0 0 5242880 5111808 5242880 0.0375 0 -0.025 0 0
+786432 0 2 0 0 5242880 5242880 5242880 0.0375 0 0 0 0
+786432 0 2 0 0 5242880 5373952 5242880 0.0375 0 0.025 0 0
+786432 0 2 0 0 5242880 5505024 5242880 0.0375 0 0.05 0 0
+786432 0 2 0 0 5242880 5636096 5242880 0.0375 0 0.075 0 0
+786432 0 2 0 0 5242880 5767168 5242880 0.0375 0 0.1 0 0
+786432 0 2 0 0 5242880 5898240 5242880 0.0375 0 0.125 0 0
+786432 0 2 0 0 5242880 6029312 5242880 0.0375 0 0.15 0 0
+786432 0 2 0 0 5242880 6160384 5242880 0.0375 0 0.175 0 0
+786432 0 2 0 0 5242880 6291456 5242880 0.0375 0 0.2 0 0
+786432 0 2 0 0 5242880 6422528 5242880 0.0375 0 0.225 0 0
+786432 0 2 0 0 5242880 6553600 5242880 0.0375 0 0.25 0 0
+
+
+# iteration 917504
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 2 0 0 5242880 3932160 5242880 0.04375 0 -0.25 0 0
+917504 0 2 0 0 5242880 4063232 5242880 0.04375 0 -0.225 0 0
+917504 0 2 0 0 5242880 4194304 5242880 0.04375 0 -0.2 0 0
+917504 0 2 0 0 5242880 4325376 5242880 0.04375 0 -0.175 0 0
+917504 0 2 0 0 5242880 4456448 5242880 0.04375 0 -0.15 0 0
+917504 0 2 0 0 5242880 4587520 5242880 0.04375 0 -0.125 0 0
+917504 0 2 0 0 5242880 4718592 5242880 0.04375 0 -0.1 0 0
+917504 0 2 0 0 5242880 4849664 5242880 0.04375 0 -0.075 0 0
+917504 0 2 0 0 5242880 4980736 5242880 0.04375 0 -0.05 0 0
+917504 0 2 0 0 5242880 5111808 5242880 0.04375 0 -0.025 0 0
+917504 0 2 0 0 5242880 5242880 5242880 0.04375 0 0 0 0
+917504 0 2 0 0 5242880 5373952 5242880 0.04375 0 0.025 0 0
+917504 0 2 0 0 5242880 5505024 5242880 0.04375 0 0.05 0 0
+917504 0 2 0 0 5242880 5636096 5242880 0.04375 0 0.075 0 0
+917504 0 2 0 0 5242880 5767168 5242880 0.04375 0 0.1 0 0
+917504 0 2 0 0 5242880 5898240 5242880 0.04375 0 0.125 0 0
+917504 0 2 0 0 5242880 6029312 5242880 0.04375 0 0.15 0 0
+917504 0 2 0 0 5242880 6160384 5242880 0.04375 0 0.175 0 0
+917504 0 2 0 0 5242880 6291456 5242880 0.04375 0 0.2 0 0
+917504 0 2 0 0 5242880 6422528 5242880 0.04375 0 0.225 0 0
+917504 0 2 0 0 5242880 6553600 5242880 0.04375 0 0.25 0 0
+
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 5242880 0 5242880 0.05 0 -1 0 0
+1048576 0 0 0 0 5242880 524288 5242880 0.05 0 -0.9 0 0
+1048576 0 0 0 0 5242880 1048576 5242880 0.05 0 -0.8 0 0
+1048576 0 0 0 0 5242880 1572864 5242880 0.05 0 -0.7 0 0
+1048576 0 0 0 0 5242880 2097152 5242880 0.05 0 -0.6 0 0
+1048576 0 0 0 0 5242880 2621440 5242880 0.05 0 -0.5 0 0
+1048576 0 0 0 0 5242880 3145728 5242880 0.05 0 -0.4 0 0
+1048576 0 0 0 0 5242880 3670016 5242880 0.05 0 -0.3 0 0
+1048576 0 0 0 0 5242880 4194304 5242880 0.05 0 -0.2 0 0
+1048576 0 0 0 0 5242880 4718592 5242880 0.05 0 -0.1 0 0
+1048576 0 0 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 0 0 0 5242880 5767168 5242880 0.05 0 0.1 0 0
+1048576 0 0 0 0 5242880 6291456 5242880 0.05 0 0.2 0 0
+1048576 0 0 0 0 5242880 6815744 5242880 0.05 0 0.3 0 0
+1048576 0 0 0 0 5242880 7340032 5242880 0.05 0 0.4 0 0
+1048576 0 0 0 0 5242880 7864320 5242880 0.05 0 0.5 0 0
+1048576 0 0 0 0 5242880 8388608 5242880 0.05 0 0.6 0 0
+1048576 0 0 0 0 5242880 8912896 5242880 0.05 0 0.7 0 0
+1048576 0 0 0 0 5242880 9437184 5242880 0.05 0 0.8 0 0
+1048576 0 0 0 0 5242880 9961472 5242880 0.05 0 0.9 0 0
+1048576 0 0 0 0 5242880 10485760 5242880 0.05 0 1 0 0
+
+
+# iteration 1048576
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 1 0 0 5242880 2621440 5242880 0.05 0 -0.5 0 0
+1048576 0 1 0 0 5242880 2883584 5242880 0.05 0 -0.45 0 0
+1048576 0 1 0 0 5242880 3145728 5242880 0.05 0 -0.4 0 0
+1048576 0 1 0 0 5242880 3407872 5242880 0.05 0 -0.35 0 0
+1048576 0 1 0 0 5242880 3670016 5242880 0.05 0 -0.3 0 0
+1048576 0 1 0 0 5242880 3932160 5242880 0.05 0 -0.25 0 0
+1048576 0 1 0 0 5242880 4194304 5242880 0.05 0 -0.2 0 0
+1048576 0 1 0 0 5242880 4456448 5242880 0.05 0 -0.15 0 0
+1048576 0 1 0 0 5242880 4718592 5242880 0.05 0 -0.1 0 0
+1048576 0 1 0 0 5242880 4980736 5242880 0.05 0 -0.05 0 0
+1048576 0 1 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 1 0 0 5242880 5505024 5242880 0.05 0 0.05 0 0
+1048576 0 1 0 0 5242880 5767168 5242880 0.05 0 0.1 0 0
+1048576 0 1 0 0 5242880 6029312 5242880 0.05 0 0.15 0 0
+1048576 0 1 0 0 5242880 6291456 5242880 0.05 0 0.2 0 0
+1048576 0 1 0 0 5242880 6553600 5242880 0.05 0 0.25 0 0
+1048576 0 1 0 0 5242880 6815744 5242880 0.05 0 0.3 0 0
+1048576 0 1 0 0 5242880 7077888 5242880 0.05 0 0.35 0 0
+1048576 0 1 0 0 5242880 7340032 5242880 0.05 0 0.4 0 0
+1048576 0 1 0 0 5242880 7602176 5242880 0.05 0 0.45 0 0
+1048576 0 1 0 0 5242880 7864320 5242880 0.05 0 0.5 0 0
+
+
+# iteration 1048576
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 2 0 0 5242880 3932160 5242880 0.05 0 -0.25 0 0
+1048576 0 2 0 0 5242880 4063232 5242880 0.05 0 -0.225 0 0
+1048576 0 2 0 0 5242880 4194304 5242880 0.05 0 -0.2 0 0
+1048576 0 2 0 0 5242880 4325376 5242880 0.05 0 -0.175 0 0
+1048576 0 2 0 0 5242880 4456448 5242880 0.05 0 -0.15 0 0
+1048576 0 2 0 0 5242880 4587520 5242880 0.05 0 -0.125 0 0
+1048576 0 2 0 0 5242880 4718592 5242880 0.05 0 -0.1 0 0
+1048576 0 2 0 0 5242880 4849664 5242880 0.05 0 -0.075 0 0
+1048576 0 2 0 0 5242880 4980736 5242880 0.05 0 -0.05 0 0
+1048576 0 2 0 0 5242880 5111808 5242880 0.05 0 -0.025 0 0
+1048576 0 2 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 2 0 0 5242880 5373952 5242880 0.05 0 0.025 0 0
+1048576 0 2 0 0 5242880 5505024 5242880 0.05 0 0.05 0 0
+1048576 0 2 0 0 5242880 5636096 5242880 0.05 0 0.075 0 0
+1048576 0 2 0 0 5242880 5767168 5242880 0.05 0 0.1 0 0
+1048576 0 2 0 0 5242880 5898240 5242880 0.05 0 0.125 0 0
+1048576 0 2 0 0 5242880 6029312 5242880 0.05 0 0.15 0 0
+1048576 0 2 0 0 5242880 6160384 5242880 0.05 0 0.175 0 0
+1048576 0 2 0 0 5242880 6291456 5242880 0.05 0 0.2 0 0
+1048576 0 2 0 0 5242880 6422528 5242880 0.05 0 0.225 0 0
+1048576 0 2 0 0 5242880 6553600 5242880 0.05 0 0.25 0 0
+
+
+# iteration 1179648
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 2 0 0 5242880 3932160 5242880 0.05625 0 -0.25 0 0
+1179648 0 2 0 0 5242880 4063232 5242880 0.05625 0 -0.225 0 0
+1179648 0 2 0 0 5242880 4194304 5242880 0.05625 0 -0.2 0 0
+1179648 0 2 0 0 5242880 4325376 5242880 0.05625 0 -0.175 0 0
+1179648 0 2 0 0 5242880 4456448 5242880 0.05625 0 -0.15 0 0
+1179648 0 2 0 0 5242880 4587520 5242880 0.05625 0 -0.125 0 0
+1179648 0 2 0 0 5242880 4718592 5242880 0.05625 0 -0.1 0 0
+1179648 0 2 0 0 5242880 4849664 5242880 0.05625 0 -0.075 0 0
+1179648 0 2 0 0 5242880 4980736 5242880 0.05625 0 -0.05 0 0
+1179648 0 2 0 0 5242880 5111808 5242880 0.05625 0 -0.025 0 0
+1179648 0 2 0 0 5242880 5242880 5242880 0.05625 0 0 0 0
+1179648 0 2 0 0 5242880 5373952 5242880 0.05625 0 0.025 0 0
+1179648 0 2 0 0 5242880 5505024 5242880 0.05625 0 0.05 0 0
+1179648 0 2 0 0 5242880 5636096 5242880 0.05625 0 0.075 0 0
+1179648 0 2 0 0 5242880 5767168 5242880 0.05625 0 0.1 0 0
+1179648 0 2 0 0 5242880 5898240 5242880 0.05625 0 0.125 0 0
+1179648 0 2 0 0 5242880 6029312 5242880 0.05625 0 0.15 0 0
+1179648 0 2 0 0 5242880 6160384 5242880 0.05625 0 0.175 0 0
+1179648 0 2 0 0 5242880 6291456 5242880 0.05625 0 0.2 0 0
+1179648 0 2 0 0 5242880 6422528 5242880 0.05625 0 0.225 0 0
+1179648 0 2 0 0 5242880 6553600 5242880 0.05625 0 0.25 0 0
+
+
+# iteration 1310720
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 1 0 0 5242880 2621440 5242880 0.0625 0 -0.5 0 0
+1310720 0 1 0 0 5242880 2883584 5242880 0.0625 0 -0.45 0 0
+1310720 0 1 0 0 5242880 3145728 5242880 0.0625 0 -0.4 0 0
+1310720 0 1 0 0 5242880 3407872 5242880 0.0625 0 -0.35 0 0
+1310720 0 1 0 0 5242880 3670016 5242880 0.0625 0 -0.3 0 0
+1310720 0 1 0 0 5242880 3932160 5242880 0.0625 0 -0.25 0 0
+1310720 0 1 0 0 5242880 4194304 5242880 0.0625 0 -0.2 0 0
+1310720 0 1 0 0 5242880 4456448 5242880 0.0625 0 -0.15 0 0
+1310720 0 1 0 0 5242880 4718592 5242880 0.0625 0 -0.1 0 0
+1310720 0 1 0 0 5242880 4980736 5242880 0.0625 0 -0.05 0 0
+1310720 0 1 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
+1310720 0 1 0 0 5242880 5505024 5242880 0.0625 0 0.05 0 0
+1310720 0 1 0 0 5242880 5767168 5242880 0.0625 0 0.1 0 0
+1310720 0 1 0 0 5242880 6029312 5242880 0.0625 0 0.15 0 0
+1310720 0 1 0 0 5242880 6291456 5242880 0.0625 0 0.2 0 0
+1310720 0 1 0 0 5242880 6553600 5242880 0.0625 0 0.25 0 0
+1310720 0 1 0 0 5242880 6815744 5242880 0.0625 0 0.3 0 0
+1310720 0 1 0 0 5242880 7077888 5242880 0.0625 0 0.35 0 0
+1310720 0 1 0 0 5242880 7340032 5242880 0.0625 0 0.4 0 0
+1310720 0 1 0 0 5242880 7602176 5242880 0.0625 0 0.45 0 0
+1310720 0 1 0 0 5242880 7864320 5242880 0.0625 0 0.5 0 0
+
+
+# iteration 1310720
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 2 0 0 5242880 3932160 5242880 0.0625 0 -0.25 0 0
+1310720 0 2 0 0 5242880 4063232 5242880 0.0625 0 -0.225 0 0
+1310720 0 2 0 0 5242880 4194304 5242880 0.0625 0 -0.2 0 0
+1310720 0 2 0 0 5242880 4325376 5242880 0.0625 0 -0.175 0 0
+1310720 0 2 0 0 5242880 4456448 5242880 0.0625 0 -0.15 0 0
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+1310720 0 2 0 0 5242880 4718592 5242880 0.0625 0 -0.1 0 0
+1310720 0 2 0 0 5242880 4849664 5242880 0.0625 0 -0.075 0 0
+1310720 0 2 0 0 5242880 4980736 5242880 0.0625 0 -0.05 0 0
+1310720 0 2 0 0 5242880 5111808 5242880 0.0625 0 -0.025 0 0
+1310720 0 2 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
+1310720 0 2 0 0 5242880 5373952 5242880 0.0625 0 0.025 0 0
+1310720 0 2 0 0 5242880 5505024 5242880 0.0625 0 0.05 0 0
+1310720 0 2 0 0 5242880 5636096 5242880 0.0625 0 0.075 0 0
+1310720 0 2 0 0 5242880 5767168 5242880 0.0625 0 0.1 0 0
+1310720 0 2 0 0 5242880 5898240 5242880 0.0625 0 0.125 0 0
+1310720 0 2 0 0 5242880 6029312 5242880 0.0625 0 0.15 0 0
+1310720 0 2 0 0 5242880 6160384 5242880 0.0625 0 0.175 0 0
+1310720 0 2 0 0 5242880 6291456 5242880 0.0625 0 0.2 0 0
+1310720 0 2 0 0 5242880 6422528 5242880 0.0625 0 0.225 0 0
+1310720 0 2 0 0 5242880 6553600 5242880 0.0625 0 0.25 0 0
+
+
+# iteration 1441792
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 2 0 0 5242880 3932160 5242880 0.06875 0 -0.25 0 0
+1441792 0 2 0 0 5242880 4063232 5242880 0.06875 0 -0.225 0 0
+1441792 0 2 0 0 5242880 4194304 5242880 0.06875 0 -0.2 0 0
+1441792 0 2 0 0 5242880 4325376 5242880 0.06875 0 -0.175 0 0
+1441792 0 2 0 0 5242880 4456448 5242880 0.06875 0 -0.15 0 0
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+1441792 0 2 0 0 5242880 4849664 5242880 0.06875 0 -0.075 0 0
+1441792 0 2 0 0 5242880 4980736 5242880 0.06875 0 -0.05 0 0
+1441792 0 2 0 0 5242880 5111808 5242880 0.06875 0 -0.025 0 0
+1441792 0 2 0 0 5242880 5242880 5242880 0.06875 0 0 0 0
+1441792 0 2 0 0 5242880 5373952 5242880 0.06875 0 0.025 0 0
+1441792 0 2 0 0 5242880 5505024 5242880 0.06875 0 0.05 0 0
+1441792 0 2 0 0 5242880 5636096 5242880 0.06875 0 0.075 0 0
+1441792 0 2 0 0 5242880 5767168 5242880 0.06875 0 0.1 0 0
+1441792 0 2 0 0 5242880 5898240 5242880 0.06875 0 0.125 0 0
+1441792 0 2 0 0 5242880 6029312 5242880 0.06875 0 0.15 0 0
+1441792 0 2 0 0 5242880 6160384 5242880 0.06875 0 0.175 0 0
+1441792 0 2 0 0 5242880 6291456 5242880 0.06875 0 0.2 0 0
+1441792 0 2 0 0 5242880 6422528 5242880 0.06875 0 0.225 0 0
+1441792 0 2 0 0 5242880 6553600 5242880 0.06875 0 0.25 0 0
+
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 5242880 0 5242880 0.075 0 -1 0 0
+1572864 0 0 0 0 5242880 524288 5242880 0.075 0 -0.9 0 0
+1572864 0 0 0 0 5242880 1048576 5242880 0.075 0 -0.8 0 0
+1572864 0 0 0 0 5242880 1572864 5242880 0.075 0 -0.7 0 0
+1572864 0 0 0 0 5242880 2097152 5242880 0.075 0 -0.6 0 0
+1572864 0 0 0 0 5242880 2621440 5242880 0.075 0 -0.5 0 0
+1572864 0 0 0 0 5242880 3145728 5242880 0.075 0 -0.4 0 0
+1572864 0 0 0 0 5242880 3670016 5242880 0.075 0 -0.3 0 0
+1572864 0 0 0 0 5242880 4194304 5242880 0.075 0 -0.2 0 0
+1572864 0 0 0 0 5242880 4718592 5242880 0.075 0 -0.1 0 0
+1572864 0 0 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+1572864 0 0 0 0 5242880 5767168 5242880 0.075 0 0.1 0 0
+1572864 0 0 0 0 5242880 6291456 5242880 0.075 0 0.2 0 0
+1572864 0 0 0 0 5242880 6815744 5242880 0.075 0 0.3 0 0
+1572864 0 0 0 0 5242880 7340032 5242880 0.075 0 0.4 0 0
+1572864 0 0 0 0 5242880 7864320 5242880 0.075 0 0.5 0 0
+1572864 0 0 0 0 5242880 8388608 5242880 0.075 0 0.6 0 0
+1572864 0 0 0 0 5242880 8912896 5242880 0.075 0 0.7 0 0
+1572864 0 0 0 0 5242880 9437184 5242880 0.075 0 0.8 0 0
+1572864 0 0 0 0 5242880 9961472 5242880 0.075 0 0.9 0 0
+1572864 0 0 0 0 5242880 10485760 5242880 0.075 0 1 0 0
+
+
+# iteration 1572864
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 1 0 0 5242880 2621440 5242880 0.075 0 -0.5 0 0
+1572864 0 1 0 0 5242880 2883584 5242880 0.075 0 -0.45 0 0
+1572864 0 1 0 0 5242880 3145728 5242880 0.075 0 -0.4 0 0
+1572864 0 1 0 0 5242880 3407872 5242880 0.075 0 -0.35 0 0
+1572864 0 1 0 0 5242880 3670016 5242880 0.075 0 -0.3 0 0
+1572864 0 1 0 0 5242880 3932160 5242880 0.075 0 -0.25 0 0
+1572864 0 1 0 0 5242880 4194304 5242880 0.075 0 -0.2 0 0
+1572864 0 1 0 0 5242880 4456448 5242880 0.075 0 -0.15 0 0
+1572864 0 1 0 0 5242880 4718592 5242880 0.075 0 -0.1 0 0
+1572864 0 1 0 0 5242880 4980736 5242880 0.075 0 -0.05 0 0
+1572864 0 1 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+1572864 0 1 0 0 5242880 5505024 5242880 0.075 0 0.05 0 0
+1572864 0 1 0 0 5242880 5767168 5242880 0.075 0 0.1 0 0
+1572864 0 1 0 0 5242880 6029312 5242880 0.075 0 0.15 0 0
+1572864 0 1 0 0 5242880 6291456 5242880 0.075 0 0.2 0 0
+1572864 0 1 0 0 5242880 6553600 5242880 0.075 0 0.25 0 0
+1572864 0 1 0 0 5242880 6815744 5242880 0.075 0 0.3 0 0
+1572864 0 1 0 0 5242880 7077888 5242880 0.075 0 0.35 0 0
+1572864 0 1 0 0 5242880 7340032 5242880 0.075 0 0.4 0 0
+1572864 0 1 0 0 5242880 7602176 5242880 0.075 0 0.45 0 0
+1572864 0 1 0 0 5242880 7864320 5242880 0.075 0 0.5 0 0
+
+
+# iteration 1572864
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 2 0 0 5242880 3932160 5242880 0.075 0 -0.25 0 0
+1572864 0 2 0 0 5242880 4063232 5242880 0.075 0 -0.225 0 0
+1572864 0 2 0 0 5242880 4194304 5242880 0.075 0 -0.2 0 0
+1572864 0 2 0 0 5242880 4325376 5242880 0.075 0 -0.175 0 0
+1572864 0 2 0 0 5242880 4456448 5242880 0.075 0 -0.15 0 0
+1572864 0 2 0 0 5242880 4587520 5242880 0.075 0 -0.125 0 0
+1572864 0 2 0 0 5242880 4718592 5242880 0.075 0 -0.1 0 0
+1572864 0 2 0 0 5242880 4849664 5242880 0.075 0 -0.075 0 0
+1572864 0 2 0 0 5242880 4980736 5242880 0.075 0 -0.05 0 0
+1572864 0 2 0 0 5242880 5111808 5242880 0.075 0 -0.025 0 0
+1572864 0 2 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+1572864 0 2 0 0 5242880 5373952 5242880 0.075 0 0.025 0 0
+1572864 0 2 0 0 5242880 5505024 5242880 0.075 0 0.05 0 0
+1572864 0 2 0 0 5242880 5636096 5242880 0.075 0 0.075 0 0
+1572864 0 2 0 0 5242880 5767168 5242880 0.075 0 0.1 0 0
+1572864 0 2 0 0 5242880 5898240 5242880 0.075 0 0.125 0 0
+1572864 0 2 0 0 5242880 6029312 5242880 0.075 0 0.15 0 0
+1572864 0 2 0 0 5242880 6160384 5242880 0.075 0 0.175 0 0
+1572864 0 2 0 0 5242880 6291456 5242880 0.075 0 0.2 0 0
+1572864 0 2 0 0 5242880 6422528 5242880 0.075 0 0.225 0 0
+1572864 0 2 0 0 5242880 6553600 5242880 0.075 0 0.25 0 0
+
+
+# iteration 1703936
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 2 0 0 5242880 3932160 5242880 0.08125 0 -0.25 0 0
+1703936 0 2 0 0 5242880 4063232 5242880 0.08125 0 -0.225 0 0
+1703936 0 2 0 0 5242880 4194304 5242880 0.08125 0 -0.2 0 0
+1703936 0 2 0 0 5242880 4325376 5242880 0.08125 0 -0.175 0 0
+1703936 0 2 0 0 5242880 4456448 5242880 0.08125 0 -0.15 0 0
+1703936 0 2 0 0 5242880 4587520 5242880 0.08125 0 -0.125 0 0
+1703936 0 2 0 0 5242880 4718592 5242880 0.08125 0 -0.1 0 0
+1703936 0 2 0 0 5242880 4849664 5242880 0.08125 0 -0.075 0 0
+1703936 0 2 0 0 5242880 4980736 5242880 0.08125 0 -0.05 0 0
+1703936 0 2 0 0 5242880 5111808 5242880 0.08125 0 -0.025 0 0
+1703936 0 2 0 0 5242880 5242880 5242880 0.08125 0 0 0 0
+1703936 0 2 0 0 5242880 5373952 5242880 0.08125 0 0.025 0 0
+1703936 0 2 0 0 5242880 5505024 5242880 0.08125 0 0.05 0 0
+1703936 0 2 0 0 5242880 5636096 5242880 0.08125 0 0.075 0 0
+1703936 0 2 0 0 5242880 5767168 5242880 0.08125 0 0.1 0 0
+1703936 0 2 0 0 5242880 5898240 5242880 0.08125 0 0.125 0 0
+1703936 0 2 0 0 5242880 6029312 5242880 0.08125 0 0.15 0 0
+1703936 0 2 0 0 5242880 6160384 5242880 0.08125 0 0.175 0 0
+1703936 0 2 0 0 5242880 6291456 5242880 0.08125 0 0.2 0 0
+1703936 0 2 0 0 5242880 6422528 5242880 0.08125 0 0.225 0 0
+1703936 0 2 0 0 5242880 6553600 5242880 0.08125 0 0.25 0 0
+
+
+# iteration 1835008
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 1 0 0 5242880 2621440 5242880 0.0875 0 -0.5 0 0
+1835008 0 1 0 0 5242880 2883584 5242880 0.0875 0 -0.45 0 0
+1835008 0 1 0 0 5242880 3145728 5242880 0.0875 0 -0.4 0 0
+1835008 0 1 0 0 5242880 3407872 5242880 0.0875 0 -0.35 0 0
+1835008 0 1 0 0 5242880 3670016 5242880 0.0875 0 -0.3 0 0
+1835008 0 1 0 0 5242880 3932160 5242880 0.0875 0 -0.25 0 0
+1835008 0 1 0 0 5242880 4194304 5242880 0.0875 0 -0.2 0 0
+1835008 0 1 0 0 5242880 4456448 5242880 0.0875 0 -0.15 0 0
+1835008 0 1 0 0 5242880 4718592 5242880 0.0875 0 -0.1 0 0
+1835008 0 1 0 0 5242880 4980736 5242880 0.0875 0 -0.05 0 0
+1835008 0 1 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+1835008 0 1 0 0 5242880 5505024 5242880 0.0875 0 0.05 0 0
+1835008 0 1 0 0 5242880 5767168 5242880 0.0875 0 0.1 0 0
+1835008 0 1 0 0 5242880 6029312 5242880 0.0875 0 0.15 0 0
+1835008 0 1 0 0 5242880 6291456 5242880 0.0875 0 0.2 0 0
+1835008 0 1 0 0 5242880 6553600 5242880 0.0875 0 0.25 0 0
+1835008 0 1 0 0 5242880 6815744 5242880 0.0875 0 0.3 0 0
+1835008 0 1 0 0 5242880 7077888 5242880 0.0875 0 0.35 0 0
+1835008 0 1 0 0 5242880 7340032 5242880 0.0875 0 0.4 0 0
+1835008 0 1 0 0 5242880 7602176 5242880 0.0875 0 0.45 0 0
+1835008 0 1 0 0 5242880 7864320 5242880 0.0875 0 0.5 0 0
+
+
+# iteration 1835008
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 2 0 0 5242880 3932160 5242880 0.0875 0 -0.25 0 0
+1835008 0 2 0 0 5242880 4063232 5242880 0.0875 0 -0.225 0 0
+1835008 0 2 0 0 5242880 4194304 5242880 0.0875 0 -0.2 0 0
+1835008 0 2 0 0 5242880 4325376 5242880 0.0875 0 -0.175 0 0
+1835008 0 2 0 0 5242880 4456448 5242880 0.0875 0 -0.15 0 0
+1835008 0 2 0 0 5242880 4587520 5242880 0.0875 0 -0.125 0 0
+1835008 0 2 0 0 5242880 4718592 5242880 0.0875 0 -0.1 0 0
+1835008 0 2 0 0 5242880 4849664 5242880 0.0875 0 -0.075 0 0
+1835008 0 2 0 0 5242880 4980736 5242880 0.0875 0 -0.05 0 0
+1835008 0 2 0 0 5242880 5111808 5242880 0.0875 0 -0.025 0 0
+1835008 0 2 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+1835008 0 2 0 0 5242880 5373952 5242880 0.0875 0 0.025 0 0
+1835008 0 2 0 0 5242880 5505024 5242880 0.0875 0 0.05 0 0
+1835008 0 2 0 0 5242880 5636096 5242880 0.0875 0 0.075 0 0
+1835008 0 2 0 0 5242880 5767168 5242880 0.0875 0 0.1 0 0
+1835008 0 2 0 0 5242880 5898240 5242880 0.0875 0 0.125 0 0
+1835008 0 2 0 0 5242880 6029312 5242880 0.0875 0 0.15 0 0
+1835008 0 2 0 0 5242880 6160384 5242880 0.0875 0 0.175 0 0
+1835008 0 2 0 0 5242880 6291456 5242880 0.0875 0 0.2 0 0
+1835008 0 2 0 0 5242880 6422528 5242880 0.0875 0 0.225 0 0
+1835008 0 2 0 0 5242880 6553600 5242880 0.0875 0 0.25 0 0
+
+
+# iteration 1966080
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 2 0 0 5242880 3932160 5242880 0.09375 0 -0.25 0 0
+1966080 0 2 0 0 5242880 4063232 5242880 0.09375 0 -0.225 0 0
+1966080 0 2 0 0 5242880 4194304 5242880 0.09375 0 -0.2 0 0
+1966080 0 2 0 0 5242880 4325376 5242880 0.09375 0 -0.175 0 0
+1966080 0 2 0 0 5242880 4456448 5242880 0.09375 0 -0.15 0 0
+1966080 0 2 0 0 5242880 4587520 5242880 0.09375 0 -0.125 0 0
+1966080 0 2 0 0 5242880 4718592 5242880 0.09375 0 -0.1 0 0
+1966080 0 2 0 0 5242880 4849664 5242880 0.09375 0 -0.075 0 0
+1966080 0 2 0 0 5242880 4980736 5242880 0.09375 0 -0.05 0 0
+1966080 0 2 0 0 5242880 5111808 5242880 0.09375 0 -0.025 0 0
+1966080 0 2 0 0 5242880 5242880 5242880 0.09375 0 0 0 0
+1966080 0 2 0 0 5242880 5373952 5242880 0.09375 0 0.025 0 0
+1966080 0 2 0 0 5242880 5505024 5242880 0.09375 0 0.05 0 0
+1966080 0 2 0 0 5242880 5636096 5242880 0.09375 0 0.075 0 0
+1966080 0 2 0 0 5242880 5767168 5242880 0.09375 0 0.1 0 0
+1966080 0 2 0 0 5242880 5898240 5242880 0.09375 0 0.125 0 0
+1966080 0 2 0 0 5242880 6029312 5242880 0.09375 0 0.15 0 0
+1966080 0 2 0 0 5242880 6160384 5242880 0.09375 0 0.175 0 0
+1966080 0 2 0 0 5242880 6291456 5242880 0.09375 0 0.2 0 0
+1966080 0 2 0 0 5242880 6422528 5242880 0.09375 0 0.225 0 0
+1966080 0 2 0 0 5242880 6553600 5242880 0.09375 0 0.25 0 0
+
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 5242880 0 5242880 0.1 0 -1 0 0
+2097152 0 0 0 0 5242880 524288 5242880 0.1 0 -0.9 0 0
+2097152 0 0 0 0 5242880 1048576 5242880 0.1 0 -0.8 0 0
+2097152 0 0 0 0 5242880 1572864 5242880 0.1 0 -0.7 0 0
+2097152 0 0 0 0 5242880 2097152 5242880 0.1 0 -0.6 0 0
+2097152 0 0 0 0 5242880 2621440 5242880 0.1 0 -0.5 0 0
+2097152 0 0 0 0 5242880 3145728 5242880 0.1 0 -0.4 0 0
+2097152 0 0 0 0 5242880 3670016 5242880 0.1 0 -0.3 0 0
+2097152 0 0 0 0 5242880 4194304 5242880 0.1 0 -0.2 0 0
+2097152 0 0 0 0 5242880 4718592 5242880 0.1 0 -0.1 0 0
+2097152 0 0 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 0 0 0 5242880 5767168 5242880 0.1 0 0.1 0 0
+2097152 0 0 0 0 5242880 6291456 5242880 0.1 0 0.2 0 0
+2097152 0 0 0 0 5242880 6815744 5242880 0.1 0 0.3 0 0
+2097152 0 0 0 0 5242880 7340032 5242880 0.1 0 0.4 0 0
+2097152 0 0 0 0 5242880 7864320 5242880 0.1 0 0.5 0 0
+2097152 0 0 0 0 5242880 8388608 5242880 0.1 0 0.6 0 0
+2097152 0 0 0 0 5242880 8912896 5242880 0.1 0 0.7 0 0
+2097152 0 0 0 0 5242880 9437184 5242880 0.1 0 0.8 0 0
+2097152 0 0 0 0 5242880 9961472 5242880 0.1 0 0.9 0 0
+2097152 0 0 0 0 5242880 10485760 5242880 0.1 0 1 0 0
+
+
+# iteration 2097152
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 1 0 0 5242880 2621440 5242880 0.1 0 -0.5 0 0
+2097152 0 1 0 0 5242880 2883584 5242880 0.1 0 -0.45 0 0
+2097152 0 1 0 0 5242880 3145728 5242880 0.1 0 -0.4 0 0
+2097152 0 1 0 0 5242880 3407872 5242880 0.1 0 -0.35 0 0
+2097152 0 1 0 0 5242880 3670016 5242880 0.1 0 -0.3 0 0
+2097152 0 1 0 0 5242880 3932160 5242880 0.1 0 -0.25 0 0
+2097152 0 1 0 0 5242880 4194304 5242880 0.1 0 -0.2 0 0
+2097152 0 1 0 0 5242880 4456448 5242880 0.1 0 -0.15 0 0
+2097152 0 1 0 0 5242880 4718592 5242880 0.1 0 -0.1 0 0
+2097152 0 1 0 0 5242880 4980736 5242880 0.1 0 -0.05 0 0
+2097152 0 1 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 1 0 0 5242880 5505024 5242880 0.1 0 0.05 0 0
+2097152 0 1 0 0 5242880 5767168 5242880 0.1 0 0.1 0 0
+2097152 0 1 0 0 5242880 6029312 5242880 0.1 0 0.15 0 0
+2097152 0 1 0 0 5242880 6291456 5242880 0.1 0 0.2 0 0
+2097152 0 1 0 0 5242880 6553600 5242880 0.1 0 0.25 0 0
+2097152 0 1 0 0 5242880 6815744 5242880 0.1 0 0.3 0 0
+2097152 0 1 0 0 5242880 7077888 5242880 0.1 0 0.35 0 0
+2097152 0 1 0 0 5242880 7340032 5242880 0.1 0 0.4 0 0
+2097152 0 1 0 0 5242880 7602176 5242880 0.1 0 0.45 0 0
+2097152 0 1 0 0 5242880 7864320 5242880 0.1 0 0.5 0 0
+
+
+# iteration 2097152
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 2 0 0 5242880 3932160 5242880 0.1 0 -0.25 0 0
+2097152 0 2 0 0 5242880 4063232 5242880 0.1 0 -0.225 0 0
+2097152 0 2 0 0 5242880 4194304 5242880 0.1 0 -0.2 0 0
+2097152 0 2 0 0 5242880 4325376 5242880 0.1 0 -0.175 0 0
+2097152 0 2 0 0 5242880 4456448 5242880 0.1 0 -0.15 0 0
+2097152 0 2 0 0 5242880 4587520 5242880 0.1 0 -0.125 0 0
+2097152 0 2 0 0 5242880 4718592 5242880 0.1 0 -0.1 0 0
+2097152 0 2 0 0 5242880 4849664 5242880 0.1 0 -0.075 0 0
+2097152 0 2 0 0 5242880 4980736 5242880 0.1 0 -0.05 0 0
+2097152 0 2 0 0 5242880 5111808 5242880 0.1 0 -0.025 0 0
+2097152 0 2 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 2 0 0 5242880 5373952 5242880 0.1 0 0.025 0 0
+2097152 0 2 0 0 5242880 5505024 5242880 0.1 0 0.05 0 0
+2097152 0 2 0 0 5242880 5636096 5242880 0.1 0 0.075 0 0
+2097152 0 2 0 0 5242880 5767168 5242880 0.1 0 0.1 0 0
+2097152 0 2 0 0 5242880 5898240 5242880 0.1 0 0.125 0 0
+2097152 0 2 0 0 5242880 6029312 5242880 0.1 0 0.15 0 0
+2097152 0 2 0 0 5242880 6160384 5242880 0.1 0 0.175 0 0
+2097152 0 2 0 0 5242880 6291456 5242880 0.1 0 0.2 0 0
+2097152 0 2 0 0 5242880 6422528 5242880 0.1 0 0.225 0 0
+2097152 0 2 0 0 5242880 6553600 5242880 0.1 0 0.25 0 0
+
+
diff --git a/Carpet/CarpetInterp/test/waveinterp/phix.z.asc b/Carpet/CarpetInterp/test/waveinterp/phix.z.asc
new file mode 100644
index 000000000..530732f83
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phix.z.asc
@@ -0,0 +1,808 @@
+# WAVEMOL::phix z (phix)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 5242880 5242880 0 0 0 0 -1 0
+0 0 0 0 0 5242880 5242880 524288 0 0 0 -0.9 0
+0 0 0 0 0 5242880 5242880 1048576 0 0 0 -0.8 0
+0 0 0 0 0 5242880 5242880 1572864 0 0 0 -0.7 0
+0 0 0 0 0 5242880 5242880 2097152 0 0 0 -0.6 0
+0 0 0 0 0 5242880 5242880 2621440 0 0 0 -0.5 0
+0 0 0 0 0 5242880 5242880 3145728 0 0 0 -0.4 0
+0 0 0 0 0 5242880 5242880 3670016 0 0 0 -0.3 0
+0 0 0 0 0 5242880 5242880 4194304 0 0 0 -0.2 0
+0 0 0 0 0 5242880 5242880 4718592 0 0 0 -0.1 0
+0 0 0 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 0 0 0 5242880 5242880 5767168 0 0 0 0.1 0
+0 0 0 0 0 5242880 5242880 6291456 0 0 0 0.2 0
+0 0 0 0 0 5242880 5242880 6815744 0 0 0 0.3 0
+0 0 0 0 0 5242880 5242880 7340032 0 0 0 0.4 0
+0 0 0 0 0 5242880 5242880 7864320 0 0 0 0.5 0
+0 0 0 0 0 5242880 5242880 8388608 0 0 0 0.6 0
+0 0 0 0 0 5242880 5242880 8912896 0 0 0 0.7 0
+0 0 0 0 0 5242880 5242880 9437184 0 0 0 0.8 0
+0 0 0 0 0 5242880 5242880 9961472 0 0 0 0.9 0
+0 0 0 0 0 5242880 5242880 10485760 0 0 0 1 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 5242880 5242880 2621440 0 0 0 -0.5 0
+0 0 1 0 0 5242880 5242880 2883584 0 0 0 -0.45 0
+0 0 1 0 0 5242880 5242880 3145728 0 0 0 -0.4 0
+0 0 1 0 0 5242880 5242880 3407872 0 0 0 -0.35 0
+0 0 1 0 0 5242880 5242880 3670016 0 0 0 -0.3 0
+0 0 1 0 0 5242880 5242880 3932160 0 0 0 -0.25 0
+0 0 1 0 0 5242880 5242880 4194304 0 0 0 -0.2 0
+0 0 1 0 0 5242880 5242880 4456448 0 0 0 -0.15 0
+0 0 1 0 0 5242880 5242880 4718592 0 0 0 -0.1 0
+0 0 1 0 0 5242880 5242880 4980736 0 0 0 -0.05 0
+0 0 1 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 1 0 0 5242880 5242880 5505024 0 0 0 0.05 0
+0 0 1 0 0 5242880 5242880 5767168 0 0 0 0.1 0
+0 0 1 0 0 5242880 5242880 6029312 0 0 0 0.15 0
+0 0 1 0 0 5242880 5242880 6291456 0 0 0 0.2 0
+0 0 1 0 0 5242880 5242880 6553600 0 0 0 0.25 0
+0 0 1 0 0 5242880 5242880 6815744 0 0 0 0.3 0
+0 0 1 0 0 5242880 5242880 7077888 0 0 0 0.35 0
+0 0 1 0 0 5242880 5242880 7340032 0 0 0 0.4 0
+0 0 1 0 0 5242880 5242880 7602176 0 0 0 0.45 0
+0 0 1 0 0 5242880 5242880 7864320 0 0 0 0.5 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 5242880 5242880 3932160 0 0 0 -0.25 0
+0 0 2 0 0 5242880 5242880 4063232 0 0 0 -0.225 0
+0 0 2 0 0 5242880 5242880 4194304 0 0 0 -0.2 0
+0 0 2 0 0 5242880 5242880 4325376 0 0 0 -0.175 0
+0 0 2 0 0 5242880 5242880 4456448 0 0 0 -0.15 0
+0 0 2 0 0 5242880 5242880 4587520 0 0 0 -0.125 0
+0 0 2 0 0 5242880 5242880 4718592 0 0 0 -0.1 0
+0 0 2 0 0 5242880 5242880 4849664 0 0 0 -0.075 0
+0 0 2 0 0 5242880 5242880 4980736 0 0 0 -0.05 0
+0 0 2 0 0 5242880 5242880 5111808 0 0 0 -0.025 0
+0 0 2 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 2 0 0 5242880 5242880 5373952 0 0 0 0.025 0
+0 0 2 0 0 5242880 5242880 5505024 0 0 0 0.05 0
+0 0 2 0 0 5242880 5242880 5636096 0 0 0 0.075 0
+0 0 2 0 0 5242880 5242880 5767168 0 0 0 0.1 0
+0 0 2 0 0 5242880 5242880 5898240 0 0 0 0.125 0
+0 0 2 0 0 5242880 5242880 6029312 0 0 0 0.15 0
+0 0 2 0 0 5242880 5242880 6160384 0 0 0 0.175 0
+0 0 2 0 0 5242880 5242880 6291456 0 0 0 0.2 0
+0 0 2 0 0 5242880 5242880 6422528 0 0 0 0.225 0
+0 0 2 0 0 5242880 5242880 6553600 0 0 0 0.25 0
+
+
+# iteration 131072
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 2 0 0 5242880 5242880 3932160 0.00625 0 0 -0.25 0
+131072 0 2 0 0 5242880 5242880 4063232 0.00625 0 0 -0.225 0
+131072 0 2 0 0 5242880 5242880 4194304 0.00625 0 0 -0.2 0
+131072 0 2 0 0 5242880 5242880 4325376 0.00625 0 0 -0.175 0
+131072 0 2 0 0 5242880 5242880 4456448 0.00625 0 0 -0.15 0
+131072 0 2 0 0 5242880 5242880 4587520 0.00625 0 0 -0.125 0
+131072 0 2 0 0 5242880 5242880 4718592 0.00625 0 0 -0.1 0
+131072 0 2 0 0 5242880 5242880 4849664 0.00625 0 0 -0.075 0
+131072 0 2 0 0 5242880 5242880 4980736 0.00625 0 0 -0.05 0
+131072 0 2 0 0 5242880 5242880 5111808 0.00625 0 0 -0.025 0
+131072 0 2 0 0 5242880 5242880 5242880 0.00625 0 0 0 0
+131072 0 2 0 0 5242880 5242880 5373952 0.00625 0 0 0.025 0
+131072 0 2 0 0 5242880 5242880 5505024 0.00625 0 0 0.05 0
+131072 0 2 0 0 5242880 5242880 5636096 0.00625 0 0 0.075 0
+131072 0 2 0 0 5242880 5242880 5767168 0.00625 0 0 0.1 0
+131072 0 2 0 0 5242880 5242880 5898240 0.00625 0 0 0.125 0
+131072 0 2 0 0 5242880 5242880 6029312 0.00625 0 0 0.15 0
+131072 0 2 0 0 5242880 5242880 6160384 0.00625 0 0 0.175 0
+131072 0 2 0 0 5242880 5242880 6291456 0.00625 0 0 0.2 0
+131072 0 2 0 0 5242880 5242880 6422528 0.00625 0 0 0.225 0
+131072 0 2 0 0 5242880 5242880 6553600 0.00625 0 0 0.25 0
+
+
+# iteration 262144
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 1 0 0 5242880 5242880 2621440 0.0125 0 0 -0.5 0
+262144 0 1 0 0 5242880 5242880 2883584 0.0125 0 0 -0.45 0
+262144 0 1 0 0 5242880 5242880 3145728 0.0125 0 0 -0.4 0
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+262144 0 1 0 0 5242880 5242880 3670016 0.0125 0 0 -0.3 0
+262144 0 1 0 0 5242880 5242880 3932160 0.0125 0 0 -0.25 0
+262144 0 1 0 0 5242880 5242880 4194304 0.0125 0 0 -0.2 0
+262144 0 1 0 0 5242880 5242880 4456448 0.0125 0 0 -0.15 0
+262144 0 1 0 0 5242880 5242880 4718592 0.0125 0 0 -0.1 0
+262144 0 1 0 0 5242880 5242880 4980736 0.0125 0 0 -0.05 0
+262144 0 1 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+262144 0 1 0 0 5242880 5242880 5505024 0.0125 0 0 0.05 0
+262144 0 1 0 0 5242880 5242880 5767168 0.0125 0 0 0.1 0
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+262144 0 1 0 0 5242880 5242880 6291456 0.0125 0 0 0.2 0
+262144 0 1 0 0 5242880 5242880 6553600 0.0125 0 0 0.25 0
+262144 0 1 0 0 5242880 5242880 6815744 0.0125 0 0 0.3 0
+262144 0 1 0 0 5242880 5242880 7077888 0.0125 0 0 0.35 0
+262144 0 1 0 0 5242880 5242880 7340032 0.0125 0 0 0.4 0
+262144 0 1 0 0 5242880 5242880 7602176 0.0125 0 0 0.45 0
+262144 0 1 0 0 5242880 5242880 7864320 0.0125 0 0 0.5 0
+
+
+# iteration 262144
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 2 0 0 5242880 5242880 3932160 0.0125 0 0 -0.25 0
+262144 0 2 0 0 5242880 5242880 4063232 0.0125 0 0 -0.225 0
+262144 0 2 0 0 5242880 5242880 4194304 0.0125 0 0 -0.2 0
+262144 0 2 0 0 5242880 5242880 4325376 0.0125 0 0 -0.175 0
+262144 0 2 0 0 5242880 5242880 4456448 0.0125 0 0 -0.15 0
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+262144 0 2 0 0 5242880 5242880 4849664 0.0125 0 0 -0.075 0
+262144 0 2 0 0 5242880 5242880 4980736 0.0125 0 0 -0.05 0
+262144 0 2 0 0 5242880 5242880 5111808 0.0125 0 0 -0.025 0
+262144 0 2 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+262144 0 2 0 0 5242880 5242880 5373952 0.0125 0 0 0.025 0
+262144 0 2 0 0 5242880 5242880 5505024 0.0125 0 0 0.05 0
+262144 0 2 0 0 5242880 5242880 5636096 0.0125 0 0 0.075 0
+262144 0 2 0 0 5242880 5242880 5767168 0.0125 0 0 0.1 0
+262144 0 2 0 0 5242880 5242880 5898240 0.0125 0 0 0.125 0
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+262144 0 2 0 0 5242880 5242880 6160384 0.0125 0 0 0.175 0
+262144 0 2 0 0 5242880 5242880 6291456 0.0125 0 0 0.2 0
+262144 0 2 0 0 5242880 5242880 6422528 0.0125 0 0 0.225 0
+262144 0 2 0 0 5242880 5242880 6553600 0.0125 0 0 0.25 0
+
+
+# iteration 393216
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 2 0 0 5242880 5242880 3932160 0.01875 0 0 -0.25 0
+393216 0 2 0 0 5242880 5242880 4063232 0.01875 0 0 -0.225 0
+393216 0 2 0 0 5242880 5242880 4194304 0.01875 0 0 -0.2 0
+393216 0 2 0 0 5242880 5242880 4325376 0.01875 0 0 -0.175 0
+393216 0 2 0 0 5242880 5242880 4456448 0.01875 0 0 -0.15 0
+393216 0 2 0 0 5242880 5242880 4587520 0.01875 0 0 -0.125 0
+393216 0 2 0 0 5242880 5242880 4718592 0.01875 0 0 -0.1 0
+393216 0 2 0 0 5242880 5242880 4849664 0.01875 0 0 -0.075 0
+393216 0 2 0 0 5242880 5242880 4980736 0.01875 0 0 -0.05 0
+393216 0 2 0 0 5242880 5242880 5111808 0.01875 0 0 -0.025 0
+393216 0 2 0 0 5242880 5242880 5242880 0.01875 0 0 0 0
+393216 0 2 0 0 5242880 5242880 5373952 0.01875 0 0 0.025 0
+393216 0 2 0 0 5242880 5242880 5505024 0.01875 0 0 0.05 0
+393216 0 2 0 0 5242880 5242880 5636096 0.01875 0 0 0.075 0
+393216 0 2 0 0 5242880 5242880 5767168 0.01875 0 0 0.1 0
+393216 0 2 0 0 5242880 5242880 5898240 0.01875 0 0 0.125 0
+393216 0 2 0 0 5242880 5242880 6029312 0.01875 0 0 0.15 0
+393216 0 2 0 0 5242880 5242880 6160384 0.01875 0 0 0.175 0
+393216 0 2 0 0 5242880 5242880 6291456 0.01875 0 0 0.2 0
+393216 0 2 0 0 5242880 5242880 6422528 0.01875 0 0 0.225 0
+393216 0 2 0 0 5242880 5242880 6553600 0.01875 0 0 0.25 0
+
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 5242880 5242880 0 0.025 0 0 -1 0
+524288 0 0 0 0 5242880 5242880 524288 0.025 0 0 -0.9 0
+524288 0 0 0 0 5242880 5242880 1048576 0.025 0 0 -0.8 0
+524288 0 0 0 0 5242880 5242880 1572864 0.025 0 0 -0.7 0
+524288 0 0 0 0 5242880 5242880 2097152 0.025 0 0 -0.6 0
+524288 0 0 0 0 5242880 5242880 2621440 0.025 0 0 -0.5 0
+524288 0 0 0 0 5242880 5242880 3145728 0.025 0 0 -0.4 0
+524288 0 0 0 0 5242880 5242880 3670016 0.025 0 0 -0.3 0
+524288 0 0 0 0 5242880 5242880 4194304 0.025 0 0 -0.2 0
+524288 0 0 0 0 5242880 5242880 4718592 0.025 0 0 -0.1 0
+524288 0 0 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 0 0 0 5242880 5242880 5767168 0.025 0 0 0.1 0
+524288 0 0 0 0 5242880 5242880 6291456 0.025 0 0 0.2 0
+524288 0 0 0 0 5242880 5242880 6815744 0.025 0 0 0.3 0
+524288 0 0 0 0 5242880 5242880 7340032 0.025 0 0 0.4 0
+524288 0 0 0 0 5242880 5242880 7864320 0.025 0 0 0.5 0
+524288 0 0 0 0 5242880 5242880 8388608 0.025 0 0 0.6 0
+524288 0 0 0 0 5242880 5242880 8912896 0.025 0 0 0.7 0
+524288 0 0 0 0 5242880 5242880 9437184 0.025 0 0 0.8 0
+524288 0 0 0 0 5242880 5242880 9961472 0.025 0 0 0.9 0
+524288 0 0 0 0 5242880 5242880 10485760 0.025 0 0 1 0
+
+
+# iteration 524288
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 1 0 0 5242880 5242880 2621440 0.025 0 0 -0.5 0
+524288 0 1 0 0 5242880 5242880 2883584 0.025 0 0 -0.45 0
+524288 0 1 0 0 5242880 5242880 3145728 0.025 0 0 -0.4 0
+524288 0 1 0 0 5242880 5242880 3407872 0.025 0 0 -0.35 0
+524288 0 1 0 0 5242880 5242880 3670016 0.025 0 0 -0.3 0
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+524288 0 1 0 0 5242880 5242880 4194304 0.025 0 0 -0.2 0
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+524288 0 1 0 0 5242880 5242880 4718592 0.025 0 0 -0.1 0
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+524288 0 1 0 0 5242880 5242880 5242880 0.025 0 0 0 0
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+524288 0 1 0 0 5242880 5242880 5767168 0.025 0 0 0.1 0
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+524288 0 1 0 0 5242880 5242880 6291456 0.025 0 0 0.2 0
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+524288 0 1 0 0 5242880 5242880 6815744 0.025 0 0 0.3 0
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+524288 0 1 0 0 5242880 5242880 7602176 0.025 0 0 0.45 0
+524288 0 1 0 0 5242880 5242880 7864320 0.025 0 0 0.5 0
+
+
+# iteration 524288
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 2 0 0 5242880 5242880 3932160 0.025 0 0 -0.25 0
+524288 0 2 0 0 5242880 5242880 4063232 0.025 0 0 -0.225 0
+524288 0 2 0 0 5242880 5242880 4194304 0.025 0 0 -0.2 0
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+524288 0 2 0 0 5242880 5242880 4456448 0.025 0 0 -0.15 0
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+524288 0 2 0 0 5242880 5242880 4980736 0.025 0 0 -0.05 0
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+524288 0 2 0 0 5242880 5242880 5242880 0.025 0 0 0 0
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+524288 0 2 0 0 5242880 5242880 6422528 0.025 0 0 0.225 0
+524288 0 2 0 0 5242880 5242880 6553600 0.025 0 0 0.25 0
+
+
+# iteration 655360
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 2 0 0 5242880 5242880 3932160 0.03125 0 0 -0.25 0
+655360 0 2 0 0 5242880 5242880 4063232 0.03125 0 0 -0.225 0
+655360 0 2 0 0 5242880 5242880 4194304 0.03125 0 0 -0.2 0
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+655360 0 2 0 0 5242880 5242880 4980736 0.03125 0 0 -0.05 0
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+655360 0 2 0 0 5242880 5242880 6553600 0.03125 0 0 0.25 0
+
+
+# iteration 786432
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 1 0 0 5242880 5242880 2621440 0.0375 0 0 -0.5 0
+786432 0 1 0 0 5242880 5242880 2883584 0.0375 0 0 -0.45 0
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+786432 0 1 0 0 5242880 5242880 4718592 0.0375 0 0 -0.1 0
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+786432 0 1 0 0 5242880 5242880 7077888 0.0375 0 0 0.35 0
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+786432 0 1 0 0 5242880 5242880 7864320 0.0375 0 0 0.5 0
+
+
+# iteration 786432
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 2 0 0 5242880 5242880 3932160 0.0375 0 0 -0.25 0
+786432 0 2 0 0 5242880 5242880 4063232 0.0375 0 0 -0.225 0
+786432 0 2 0 0 5242880 5242880 4194304 0.0375 0 0 -0.2 0
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+786432 0 2 0 0 5242880 5242880 6553600 0.0375 0 0 0.25 0
+
+
+# iteration 917504
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 2 0 0 5242880 5242880 3932160 0.04375 0 0 -0.25 0
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+917504 0 2 0 0 5242880 5242880 6553600 0.04375 0 0 0.25 0
+
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 5242880 5242880 0 0.05 0 0 -1 0
+1048576 0 0 0 0 5242880 5242880 524288 0.05 0 0 -0.9 0
+1048576 0 0 0 0 5242880 5242880 1048576 0.05 0 0 -0.8 0
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+1048576 0 0 0 0 5242880 5242880 3670016 0.05 0 0 -0.3 0
+1048576 0 0 0 0 5242880 5242880 4194304 0.05 0 0 -0.2 0
+1048576 0 0 0 0 5242880 5242880 4718592 0.05 0 0 -0.1 0
+1048576 0 0 0 0 5242880 5242880 5242880 0.05 0 0 0 0
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+1048576 0 0 0 0 5242880 5242880 6291456 0.05 0 0 0.2 0
+1048576 0 0 0 0 5242880 5242880 6815744 0.05 0 0 0.3 0
+1048576 0 0 0 0 5242880 5242880 7340032 0.05 0 0 0.4 0
+1048576 0 0 0 0 5242880 5242880 7864320 0.05 0 0 0.5 0
+1048576 0 0 0 0 5242880 5242880 8388608 0.05 0 0 0.6 0
+1048576 0 0 0 0 5242880 5242880 8912896 0.05 0 0 0.7 0
+1048576 0 0 0 0 5242880 5242880 9437184 0.05 0 0 0.8 0
+1048576 0 0 0 0 5242880 5242880 9961472 0.05 0 0 0.9 0
+1048576 0 0 0 0 5242880 5242880 10485760 0.05 0 0 1 0
+
+
+# iteration 1048576
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 1 0 0 5242880 5242880 2621440 0.05 0 0 -0.5 0
+1048576 0 1 0 0 5242880 5242880 2883584 0.05 0 0 -0.45 0
+1048576 0 1 0 0 5242880 5242880 3145728 0.05 0 0 -0.4 0
+1048576 0 1 0 0 5242880 5242880 3407872 0.05 0 0 -0.35 0
+1048576 0 1 0 0 5242880 5242880 3670016 0.05 0 0 -0.3 0
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+1048576 0 1 0 0 5242880 5242880 4718592 0.05 0 0 -0.1 0
+1048576 0 1 0 0 5242880 5242880 4980736 0.05 0 0 -0.05 0
+1048576 0 1 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 1 0 0 5242880 5242880 5505024 0.05 0 0 0.05 0
+1048576 0 1 0 0 5242880 5242880 5767168 0.05 0 0 0.1 0
+1048576 0 1 0 0 5242880 5242880 6029312 0.05 0 0 0.15 0
+1048576 0 1 0 0 5242880 5242880 6291456 0.05 0 0 0.2 0
+1048576 0 1 0 0 5242880 5242880 6553600 0.05 0 0 0.25 0
+1048576 0 1 0 0 5242880 5242880 6815744 0.05 0 0 0.3 0
+1048576 0 1 0 0 5242880 5242880 7077888 0.05 0 0 0.35 0
+1048576 0 1 0 0 5242880 5242880 7340032 0.05 0 0 0.4 0
+1048576 0 1 0 0 5242880 5242880 7602176 0.05 0 0 0.45 0
+1048576 0 1 0 0 5242880 5242880 7864320 0.05 0 0 0.5 0
+
+
+# iteration 1048576
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 2 0 0 5242880 5242880 3932160 0.05 0 0 -0.25 0
+1048576 0 2 0 0 5242880 5242880 4063232 0.05 0 0 -0.225 0
+1048576 0 2 0 0 5242880 5242880 4194304 0.05 0 0 -0.2 0
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+1048576 0 2 0 0 5242880 5242880 4718592 0.05 0 0 -0.1 0
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+1048576 0 2 0 0 5242880 5242880 4980736 0.05 0 0 -0.05 0
+1048576 0 2 0 0 5242880 5242880 5111808 0.05 0 0 -0.025 0
+1048576 0 2 0 0 5242880 5242880 5242880 0.05 0 0 0 0
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+1048576 0 2 0 0 5242880 5242880 5505024 0.05 0 0 0.05 0
+1048576 0 2 0 0 5242880 5242880 5636096 0.05 0 0 0.075 0
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+1048576 0 2 0 0 5242880 5242880 5898240 0.05 0 0 0.125 0
+1048576 0 2 0 0 5242880 5242880 6029312 0.05 0 0 0.15 0
+1048576 0 2 0 0 5242880 5242880 6160384 0.05 0 0 0.175 0
+1048576 0 2 0 0 5242880 5242880 6291456 0.05 0 0 0.2 0
+1048576 0 2 0 0 5242880 5242880 6422528 0.05 0 0 0.225 0
+1048576 0 2 0 0 5242880 5242880 6553600 0.05 0 0 0.25 0
+
+
+# iteration 1179648
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 2 0 0 5242880 5242880 3932160 0.05625 0 0 -0.25 0
+1179648 0 2 0 0 5242880 5242880 4063232 0.05625 0 0 -0.225 0
+1179648 0 2 0 0 5242880 5242880 4194304 0.05625 0 0 -0.2 0
+1179648 0 2 0 0 5242880 5242880 4325376 0.05625 0 0 -0.175 0
+1179648 0 2 0 0 5242880 5242880 4456448 0.05625 0 0 -0.15 0
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+1179648 0 2 0 0 5242880 5242880 4980736 0.05625 0 0 -0.05 0
+1179648 0 2 0 0 5242880 5242880 5111808 0.05625 0 0 -0.025 0
+1179648 0 2 0 0 5242880 5242880 5242880 0.05625 0 0 0 0
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+1179648 0 2 0 0 5242880 5242880 5505024 0.05625 0 0 0.05 0
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+1179648 0 2 0 0 5242880 5242880 5767168 0.05625 0 0 0.1 0
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+1179648 0 2 0 0 5242880 5242880 6029312 0.05625 0 0 0.15 0
+1179648 0 2 0 0 5242880 5242880 6160384 0.05625 0 0 0.175 0
+1179648 0 2 0 0 5242880 5242880 6291456 0.05625 0 0 0.2 0
+1179648 0 2 0 0 5242880 5242880 6422528 0.05625 0 0 0.225 0
+1179648 0 2 0 0 5242880 5242880 6553600 0.05625 0 0 0.25 0
+
+
+# iteration 1310720
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 1 0 0 5242880 5242880 2621440 0.0625 0 0 -0.5 0
+1310720 0 1 0 0 5242880 5242880 2883584 0.0625 0 0 -0.45 0
+1310720 0 1 0 0 5242880 5242880 3145728 0.0625 0 0 -0.4 0
+1310720 0 1 0 0 5242880 5242880 3407872 0.0625 0 0 -0.35 0
+1310720 0 1 0 0 5242880 5242880 3670016 0.0625 0 0 -0.3 0
+1310720 0 1 0 0 5242880 5242880 3932160 0.0625 0 0 -0.25 0
+1310720 0 1 0 0 5242880 5242880 4194304 0.0625 0 0 -0.2 0
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+1310720 0 1 0 0 5242880 5242880 4718592 0.0625 0 0 -0.1 0
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+1310720 0 1 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
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+1310720 0 1 0 0 5242880 5242880 5767168 0.0625 0 0 0.1 0
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+1310720 0 1 0 0 5242880 5242880 6291456 0.0625 0 0 0.2 0
+1310720 0 1 0 0 5242880 5242880 6553600 0.0625 0 0 0.25 0
+1310720 0 1 0 0 5242880 5242880 6815744 0.0625 0 0 0.3 0
+1310720 0 1 0 0 5242880 5242880 7077888 0.0625 0 0 0.35 0
+1310720 0 1 0 0 5242880 5242880 7340032 0.0625 0 0 0.4 0
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+1310720 0 1 0 0 5242880 5242880 7864320 0.0625 0 0 0.5 0
+
+
+# iteration 1310720
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 2 0 0 5242880 5242880 3932160 0.0625 0 0 -0.25 0
+1310720 0 2 0 0 5242880 5242880 4063232 0.0625 0 0 -0.225 0
+1310720 0 2 0 0 5242880 5242880 4194304 0.0625 0 0 -0.2 0
+1310720 0 2 0 0 5242880 5242880 4325376 0.0625 0 0 -0.175 0
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+1310720 0 2 0 0 5242880 5242880 4980736 0.0625 0 0 -0.05 0
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+1310720 0 2 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
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+1310720 0 2 0 0 5242880 5242880 5505024 0.0625 0 0 0.05 0
+1310720 0 2 0 0 5242880 5242880 5636096 0.0625 0 0 0.075 0
+1310720 0 2 0 0 5242880 5242880 5767168 0.0625 0 0 0.1 0
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+1310720 0 2 0 0 5242880 5242880 6029312 0.0625 0 0 0.15 0
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+1310720 0 2 0 0 5242880 5242880 6291456 0.0625 0 0 0.2 0
+1310720 0 2 0 0 5242880 5242880 6422528 0.0625 0 0 0.225 0
+1310720 0 2 0 0 5242880 5242880 6553600 0.0625 0 0 0.25 0
+
+
+# iteration 1441792
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 2 0 0 5242880 5242880 3932160 0.06875 0 0 -0.25 0
+1441792 0 2 0 0 5242880 5242880 4063232 0.06875 0 0 -0.225 0
+1441792 0 2 0 0 5242880 5242880 4194304 0.06875 0 0 -0.2 0
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+1441792 0 2 0 0 5242880 5242880 5242880 0.06875 0 0 0 0
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+1441792 0 2 0 0 5242880 5242880 5767168 0.06875 0 0 0.1 0
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+1441792 0 2 0 0 5242880 5242880 6029312 0.06875 0 0 0.15 0
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+1441792 0 2 0 0 5242880 5242880 6291456 0.06875 0 0 0.2 0
+1441792 0 2 0 0 5242880 5242880 6422528 0.06875 0 0 0.225 0
+1441792 0 2 0 0 5242880 5242880 6553600 0.06875 0 0 0.25 0
+
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 5242880 5242880 0 0.075 0 0 -1 0
+1572864 0 0 0 0 5242880 5242880 524288 0.075 0 0 -0.9 0
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+1572864 0 0 0 0 5242880 5242880 3670016 0.075 0 0 -0.3 0
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+1572864 0 0 0 0 5242880 5242880 9961472 0.075 0 0 0.9 0
+1572864 0 0 0 0 5242880 5242880 10485760 0.075 0 0 1 0
+
+
+# iteration 1572864
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 1 0 0 5242880 5242880 2621440 0.075 0 0 -0.5 0
+1572864 0 1 0 0 5242880 5242880 2883584 0.075 0 0 -0.45 0
+1572864 0 1 0 0 5242880 5242880 3145728 0.075 0 0 -0.4 0
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+1572864 0 1 0 0 5242880 5242880 3670016 0.075 0 0 -0.3 0
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+1572864 0 1 0 0 5242880 5242880 4718592 0.075 0 0 -0.1 0
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+1572864 0 1 0 0 5242880 5242880 5242880 0.075 0 0 0 0
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+1572864 0 1 0 0 5242880 5242880 5767168 0.075 0 0 0.1 0
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+1572864 0 1 0 0 5242880 5242880 7077888 0.075 0 0 0.35 0
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+1572864 0 1 0 0 5242880 5242880 7602176 0.075 0 0 0.45 0
+1572864 0 1 0 0 5242880 5242880 7864320 0.075 0 0 0.5 0
+
+
+# iteration 1572864
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 2 0 0 5242880 5242880 3932160 0.075 0 0 -0.25 0
+1572864 0 2 0 0 5242880 5242880 4063232 0.075 0 0 -0.225 0
+1572864 0 2 0 0 5242880 5242880 4194304 0.075 0 0 -0.2 0
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+1572864 0 2 0 0 5242880 5242880 4456448 0.075 0 0 -0.15 0
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+1572864 0 2 0 0 5242880 5242880 4718592 0.075 0 0 -0.1 0
+1572864 0 2 0 0 5242880 5242880 4849664 0.075 0 0 -0.075 0
+1572864 0 2 0 0 5242880 5242880 4980736 0.075 0 0 -0.05 0
+1572864 0 2 0 0 5242880 5242880 5111808 0.075 0 0 -0.025 0
+1572864 0 2 0 0 5242880 5242880 5242880 0.075 0 0 0 0
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+1572864 0 2 0 0 5242880 5242880 5505024 0.075 0 0 0.05 0
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+1572864 0 2 0 0 5242880 5242880 5767168 0.075 0 0 0.1 0
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+1572864 0 2 0 0 5242880 5242880 6029312 0.075 0 0 0.15 0
+1572864 0 2 0 0 5242880 5242880 6160384 0.075 0 0 0.175 0
+1572864 0 2 0 0 5242880 5242880 6291456 0.075 0 0 0.2 0
+1572864 0 2 0 0 5242880 5242880 6422528 0.075 0 0 0.225 0
+1572864 0 2 0 0 5242880 5242880 6553600 0.075 0 0 0.25 0
+
+
+# iteration 1703936
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 2 0 0 5242880 5242880 3932160 0.08125 0 0 -0.25 0
+1703936 0 2 0 0 5242880 5242880 4063232 0.08125 0 0 -0.225 0
+1703936 0 2 0 0 5242880 5242880 4194304 0.08125 0 0 -0.2 0
+1703936 0 2 0 0 5242880 5242880 4325376 0.08125 0 0 -0.175 0
+1703936 0 2 0 0 5242880 5242880 4456448 0.08125 0 0 -0.15 0
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+1703936 0 2 0 0 5242880 5242880 4849664 0.08125 0 0 -0.075 0
+1703936 0 2 0 0 5242880 5242880 4980736 0.08125 0 0 -0.05 0
+1703936 0 2 0 0 5242880 5242880 5111808 0.08125 0 0 -0.025 0
+1703936 0 2 0 0 5242880 5242880 5242880 0.08125 0 0 0 0
+1703936 0 2 0 0 5242880 5242880 5373952 0.08125 0 0 0.025 0
+1703936 0 2 0 0 5242880 5242880 5505024 0.08125 0 0 0.05 0
+1703936 0 2 0 0 5242880 5242880 5636096 0.08125 0 0 0.075 0
+1703936 0 2 0 0 5242880 5242880 5767168 0.08125 0 0 0.1 0
+1703936 0 2 0 0 5242880 5242880 5898240 0.08125 0 0 0.125 0
+1703936 0 2 0 0 5242880 5242880 6029312 0.08125 0 0 0.15 0
+1703936 0 2 0 0 5242880 5242880 6160384 0.08125 0 0 0.175 0
+1703936 0 2 0 0 5242880 5242880 6291456 0.08125 0 0 0.2 0
+1703936 0 2 0 0 5242880 5242880 6422528 0.08125 0 0 0.225 0
+1703936 0 2 0 0 5242880 5242880 6553600 0.08125 0 0 0.25 0
+
+
+# iteration 1835008
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 1 0 0 5242880 5242880 2621440 0.0875 0 0 -0.5 0
+1835008 0 1 0 0 5242880 5242880 2883584 0.0875 0 0 -0.45 0
+1835008 0 1 0 0 5242880 5242880 3145728 0.0875 0 0 -0.4 0
+1835008 0 1 0 0 5242880 5242880 3407872 0.0875 0 0 -0.35 0
+1835008 0 1 0 0 5242880 5242880 3670016 0.0875 0 0 -0.3 0
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+1835008 0 1 0 0 5242880 5242880 4194304 0.0875 0 0 -0.2 0
+1835008 0 1 0 0 5242880 5242880 4456448 0.0875 0 0 -0.15 0
+1835008 0 1 0 0 5242880 5242880 4718592 0.0875 0 0 -0.1 0
+1835008 0 1 0 0 5242880 5242880 4980736 0.0875 0 0 -0.05 0
+1835008 0 1 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+1835008 0 1 0 0 5242880 5242880 5505024 0.0875 0 0 0.05 0
+1835008 0 1 0 0 5242880 5242880 5767168 0.0875 0 0 0.1 0
+1835008 0 1 0 0 5242880 5242880 6029312 0.0875 0 0 0.15 0
+1835008 0 1 0 0 5242880 5242880 6291456 0.0875 0 0 0.2 0
+1835008 0 1 0 0 5242880 5242880 6553600 0.0875 0 0 0.25 0
+1835008 0 1 0 0 5242880 5242880 6815744 0.0875 0 0 0.3 0
+1835008 0 1 0 0 5242880 5242880 7077888 0.0875 0 0 0.35 0
+1835008 0 1 0 0 5242880 5242880 7340032 0.0875 0 0 0.4 0
+1835008 0 1 0 0 5242880 5242880 7602176 0.0875 0 0 0.45 0
+1835008 0 1 0 0 5242880 5242880 7864320 0.0875 0 0 0.5 0
+
+
+# iteration 1835008
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 2 0 0 5242880 5242880 3932160 0.0875 0 0 -0.25 0
+1835008 0 2 0 0 5242880 5242880 4063232 0.0875 0 0 -0.225 0
+1835008 0 2 0 0 5242880 5242880 4194304 0.0875 0 0 -0.2 0
+1835008 0 2 0 0 5242880 5242880 4325376 0.0875 0 0 -0.175 0
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+1835008 0 2 0 0 5242880 5242880 4980736 0.0875 0 0 -0.05 0
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+1835008 0 2 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
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+1835008 0 2 0 0 5242880 5242880 5636096 0.0875 0 0 0.075 0
+1835008 0 2 0 0 5242880 5242880 5767168 0.0875 0 0 0.1 0
+1835008 0 2 0 0 5242880 5242880 5898240 0.0875 0 0 0.125 0
+1835008 0 2 0 0 5242880 5242880 6029312 0.0875 0 0 0.15 0
+1835008 0 2 0 0 5242880 5242880 6160384 0.0875 0 0 0.175 0
+1835008 0 2 0 0 5242880 5242880 6291456 0.0875 0 0 0.2 0
+1835008 0 2 0 0 5242880 5242880 6422528 0.0875 0 0 0.225 0
+1835008 0 2 0 0 5242880 5242880 6553600 0.0875 0 0 0.25 0
+
+
+# iteration 1966080
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 2 0 0 5242880 5242880 3932160 0.09375 0 0 -0.25 0
+1966080 0 2 0 0 5242880 5242880 4063232 0.09375 0 0 -0.225 0
+1966080 0 2 0 0 5242880 5242880 4194304 0.09375 0 0 -0.2 0
+1966080 0 2 0 0 5242880 5242880 4325376 0.09375 0 0 -0.175 0
+1966080 0 2 0 0 5242880 5242880 4456448 0.09375 0 0 -0.15 0
+1966080 0 2 0 0 5242880 5242880 4587520 0.09375 0 0 -0.125 0
+1966080 0 2 0 0 5242880 5242880 4718592 0.09375 0 0 -0.1 0
+1966080 0 2 0 0 5242880 5242880 4849664 0.09375 0 0 -0.075 0
+1966080 0 2 0 0 5242880 5242880 4980736 0.09375 0 0 -0.05 0
+1966080 0 2 0 0 5242880 5242880 5111808 0.09375 0 0 -0.025 0
+1966080 0 2 0 0 5242880 5242880 5242880 0.09375 0 0 0 0
+1966080 0 2 0 0 5242880 5242880 5373952 0.09375 0 0 0.025 0
+1966080 0 2 0 0 5242880 5242880 5505024 0.09375 0 0 0.05 0
+1966080 0 2 0 0 5242880 5242880 5636096 0.09375 0 0 0.075 0
+1966080 0 2 0 0 5242880 5242880 5767168 0.09375 0 0 0.1 0
+1966080 0 2 0 0 5242880 5242880 5898240 0.09375 0 0 0.125 0
+1966080 0 2 0 0 5242880 5242880 6029312 0.09375 0 0 0.15 0
+1966080 0 2 0 0 5242880 5242880 6160384 0.09375 0 0 0.175 0
+1966080 0 2 0 0 5242880 5242880 6291456 0.09375 0 0 0.2 0
+1966080 0 2 0 0 5242880 5242880 6422528 0.09375 0 0 0.225 0
+1966080 0 2 0 0 5242880 5242880 6553600 0.09375 0 0 0.25 0
+
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 5242880 5242880 0 0.1 0 0 -1 0
+2097152 0 0 0 0 5242880 5242880 524288 0.1 0 0 -0.9 0
+2097152 0 0 0 0 5242880 5242880 1048576 0.1 0 0 -0.8 0
+2097152 0 0 0 0 5242880 5242880 1572864 0.1 0 0 -0.7 0
+2097152 0 0 0 0 5242880 5242880 2097152 0.1 0 0 -0.6 0
+2097152 0 0 0 0 5242880 5242880 2621440 0.1 0 0 -0.5 0
+2097152 0 0 0 0 5242880 5242880 3145728 0.1 0 0 -0.4 0
+2097152 0 0 0 0 5242880 5242880 3670016 0.1 0 0 -0.3 0
+2097152 0 0 0 0 5242880 5242880 4194304 0.1 0 0 -0.2 0
+2097152 0 0 0 0 5242880 5242880 4718592 0.1 0 0 -0.1 0
+2097152 0 0 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 0 0 0 5242880 5242880 5767168 0.1 0 0 0.1 0
+2097152 0 0 0 0 5242880 5242880 6291456 0.1 0 0 0.2 0
+2097152 0 0 0 0 5242880 5242880 6815744 0.1 0 0 0.3 0
+2097152 0 0 0 0 5242880 5242880 7340032 0.1 0 0 0.4 0
+2097152 0 0 0 0 5242880 5242880 7864320 0.1 0 0 0.5 0
+2097152 0 0 0 0 5242880 5242880 8388608 0.1 0 0 0.6 0
+2097152 0 0 0 0 5242880 5242880 8912896 0.1 0 0 0.7 0
+2097152 0 0 0 0 5242880 5242880 9437184 0.1 0 0 0.8 0
+2097152 0 0 0 0 5242880 5242880 9961472 0.1 0 0 0.9 0
+2097152 0 0 0 0 5242880 5242880 10485760 0.1 0 0 1 0
+
+
+# iteration 2097152
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 1 0 0 5242880 5242880 2621440 0.1 0 0 -0.5 0
+2097152 0 1 0 0 5242880 5242880 2883584 0.1 0 0 -0.45 0
+2097152 0 1 0 0 5242880 5242880 3145728 0.1 0 0 -0.4 0
+2097152 0 1 0 0 5242880 5242880 3407872 0.1 0 0 -0.35 0
+2097152 0 1 0 0 5242880 5242880 3670016 0.1 0 0 -0.3 0
+2097152 0 1 0 0 5242880 5242880 3932160 0.1 0 0 -0.25 0
+2097152 0 1 0 0 5242880 5242880 4194304 0.1 0 0 -0.2 0
+2097152 0 1 0 0 5242880 5242880 4456448 0.1 0 0 -0.15 0
+2097152 0 1 0 0 5242880 5242880 4718592 0.1 0 0 -0.1 0
+2097152 0 1 0 0 5242880 5242880 4980736 0.1 0 0 -0.05 0
+2097152 0 1 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 1 0 0 5242880 5242880 5505024 0.1 0 0 0.05 0
+2097152 0 1 0 0 5242880 5242880 5767168 0.1 0 0 0.1 0
+2097152 0 1 0 0 5242880 5242880 6029312 0.1 0 0 0.15 0
+2097152 0 1 0 0 5242880 5242880 6291456 0.1 0 0 0.2 0
+2097152 0 1 0 0 5242880 5242880 6553600 0.1 0 0 0.25 0
+2097152 0 1 0 0 5242880 5242880 6815744 0.1 0 0 0.3 0
+2097152 0 1 0 0 5242880 5242880 7077888 0.1 0 0 0.35 0
+2097152 0 1 0 0 5242880 5242880 7340032 0.1 0 0 0.4 0
+2097152 0 1 0 0 5242880 5242880 7602176 0.1 0 0 0.45 0
+2097152 0 1 0 0 5242880 5242880 7864320 0.1 0 0 0.5 0
+
+
+# iteration 2097152
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 2 0 0 5242880 5242880 3932160 0.1 0 0 -0.25 0
+2097152 0 2 0 0 5242880 5242880 4063232 0.1 0 0 -0.225 0
+2097152 0 2 0 0 5242880 5242880 4194304 0.1 0 0 -0.2 0
+2097152 0 2 0 0 5242880 5242880 4325376 0.1 0 0 -0.175 0
+2097152 0 2 0 0 5242880 5242880 4456448 0.1 0 0 -0.15 0
+2097152 0 2 0 0 5242880 5242880 4587520 0.1 0 0 -0.125 0
+2097152 0 2 0 0 5242880 5242880 4718592 0.1 0 0 -0.1 0
+2097152 0 2 0 0 5242880 5242880 4849664 0.1 0 0 -0.075 0
+2097152 0 2 0 0 5242880 5242880 4980736 0.1 0 0 -0.05 0
+2097152 0 2 0 0 5242880 5242880 5111808 0.1 0 0 -0.025 0
+2097152 0 2 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 2 0 0 5242880 5242880 5373952 0.1 0 0 0.025 0
+2097152 0 2 0 0 5242880 5242880 5505024 0.1 0 0 0.05 0
+2097152 0 2 0 0 5242880 5242880 5636096 0.1 0 0 0.075 0
+2097152 0 2 0 0 5242880 5242880 5767168 0.1 0 0 0.1 0
+2097152 0 2 0 0 5242880 5242880 5898240 0.1 0 0 0.125 0
+2097152 0 2 0 0 5242880 5242880 6029312 0.1 0 0 0.15 0
+2097152 0 2 0 0 5242880 5242880 6160384 0.1 0 0 0.175 0
+2097152 0 2 0 0 5242880 5242880 6291456 0.1 0 0 0.2 0
+2097152 0 2 0 0 5242880 5242880 6422528 0.1 0 0 0.225 0
+2097152 0 2 0 0 5242880 5242880 6553600 0.1 0 0 0.25 0
+
+
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiy..asc b/Carpet/CarpetInterp/test/waveinterp/phiy..asc
new file mode 100644
index 000000000..25d5ed573
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiy..asc
@@ -0,0 +1,157 @@
+# WAVEMOL::phiy (phiy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 5242880 5242880 5242880 0 0 0 0 0
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 5242880 5242880 5242880 0 0 0 0 0
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 5242880 5242880 5242880 0 0 0 0 0
+
+# iteration 131072
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 2 0 0 5242880 5242880 5242880 0.00625 0 0 0 0
+
+# iteration 262144
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 1 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+
+# iteration 262144
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 2 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+
+# iteration 393216
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 2 0 0 5242880 5242880 5242880 0.01875 0 0 0 0
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+
+# iteration 524288
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 1 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+
+# iteration 524288
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 2 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+
+# iteration 655360
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 2 0 0 5242880 5242880 5242880 0.03125 0 0 0 0
+
+# iteration 786432
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 1 0 0 5242880 5242880 5242880 0.0375 0 0 0 0
+
+# iteration 786432
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 2 0 0 5242880 5242880 5242880 0.0375 0 0 0 0
+
+# iteration 917504
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 2 0 0 5242880 5242880 5242880 0.04375 0 0 0 0
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+
+# iteration 1048576
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 1 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+
+# iteration 1048576
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 2 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+
+# iteration 1179648
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 2 0 0 5242880 5242880 5242880 0.05625 0 0 0 0
+
+# iteration 1310720
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 1 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
+
+# iteration 1310720
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 2 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
+
+# iteration 1441792
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 2 0 0 5242880 5242880 5242880 0.06875 0 0 0 0
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+
+# iteration 1572864
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 1 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+
+# iteration 1572864
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 2 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+
+# iteration 1703936
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 2 0 0 5242880 5242880 5242880 0.08125 0 0 0 0
+
+# iteration 1835008
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 1 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+
+# iteration 1835008
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 2 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+
+# iteration 1966080
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 2 0 0 5242880 5242880 5242880 0.09375 0 0 0 0
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+
+# iteration 2097152
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 1 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+
+# iteration 2097152
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 2 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiy.average.asc b/Carpet/CarpetInterp/test/waveinterp/phiy.average.asc
new file mode 100644
index 000000000..e3facff8a
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiy.average.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phiy (phiy)
+# iteration time data
+0 0 0
+131072 0.00625 -4.97771231194458e-29
+262144 0.0125 5.42393148298285e-29
+393216 0.01875 -8.45274320705629e-30
+524288 0.025 1.04255857234009e-29
+655360 0.03125 1.21169035041947e-29
+786432 0.0375 1.50291191212862e-29
+917504 0.04375 -7.67403888599e-30
+1048576 0.05 1.48818609769944e-29
+1179648 0.05625 -2.06739735659665e-29
+1310720 0.0625 -4.06520732059149e-29
+1441792 0.06875 -2.15690348705529e-29
+1572864 0.075 3.12069429800906e-29
+1703936 0.08125 1.57405360723275e-29
+1835008 0.0875 5.40961365755309e-30
+1966080 0.09375 5.98780925803483e-29
+2097152 0.1 8.62406407414767e-29
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiy.count.asc b/Carpet/CarpetInterp/test/waveinterp/phiy.count.asc
new file mode 100644
index 000000000..4f23278b6
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiy.count.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phiy (phiy)
+# iteration time data
+0 0 8000
+131072 0.00625 8000
+262144 0.0125 8000
+393216 0.01875 8000
+524288 0.025 8000
+655360 0.03125 8000
+786432 0.0375 8000
+917504 0.04375 8000
+1048576 0.05 8000
+1179648 0.05625 8000
+1310720 0.0625 8000
+1441792 0.06875 8000
+1572864 0.075 8000
+1703936 0.08125 8000
+1835008 0.0875 8000
+1966080 0.09375 8000
+2097152 0.1 8000
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiy.maximum.asc b/Carpet/CarpetInterp/test/waveinterp/phiy.maximum.asc
new file mode 100644
index 000000000..bfe7f8578
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiy.maximum.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phiy (phiy)
+# iteration time data
+0 0 0
+131072 0.00625 2.52330210059881e-08
+262144 0.0125 2.59751686828268e-09
+393216 0.01875 1.94813765121201e-09
+524288 0.025 1.13718142310167e-09
+655360 0.03125 1.49819814627278e-09
+786432 0.0375 1.92004376518377e-09
+917504 0.04375 2.25411963198039e-09
+1048576 0.05 2.51675670350412e-09
+1179648 0.05625 2.6865148826614e-09
+1310720 0.0625 2.77054086848342e-09
+1441792 0.06875 2.7710016315662e-09
+1572864 0.075 2.71062697591515e-09
+1703936 0.08125 2.68229908058895e-09
+1835008 0.0875 2.6295740571891e-09
+1966080 0.09375 2.53181084986157e-09
+2097152 0.1 2.41338321187977e-09
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiy.minimum.asc b/Carpet/CarpetInterp/test/waveinterp/phiy.minimum.asc
new file mode 100644
index 000000000..9d5a6bb7a
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiy.minimum.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phiy (phiy)
+# iteration time data
+0 0 0
+131072 0.00625 -2.52330210059881e-08
+262144 0.0125 -2.59751686828268e-09
+393216 0.01875 -1.94813765121201e-09
+524288 0.025 -1.13718142310167e-09
+655360 0.03125 -1.49819814627278e-09
+786432 0.0375 -1.92004376518377e-09
+917504 0.04375 -2.25411963198039e-09
+1048576 0.05 -2.51675670350412e-09
+1179648 0.05625 -2.6865148826614e-09
+1310720 0.0625 -2.77054086848342e-09
+1441792 0.06875 -2.7710016315662e-09
+1572864 0.075 -2.71062697591515e-09
+1703936 0.08125 -2.68229908058895e-09
+1835008 0.0875 -2.6295740571891e-09
+1966080 0.09375 -2.53181084986157e-09
+2097152 0.1 -2.41338321187977e-09
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiy.norm1.asc b/Carpet/CarpetInterp/test/waveinterp/phiy.norm1.asc
new file mode 100644
index 000000000..d80c8aa98
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiy.norm1.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phiy (phiy)
+# iteration time data
+0 0 0
+131072 0.00625 1.8276409322037e-11
+262144 0.0125 7.34649051893125e-12
+393216 0.01875 5.91041345682555e-12
+524288 0.025 1.24242890027224e-12
+655360 0.03125 2.57713743237751e-12
+786432 0.0375 2.36124801524171e-12
+917504 0.04375 2.980572995517e-12
+1048576 0.05 3.03589049525507e-12
+1179648 0.05625 3.36169643546458e-12
+1310720 0.0625 3.61334864722834e-12
+1441792 0.06875 3.84089322924322e-12
+1572864 0.075 3.76844870942373e-12
+1703936 0.08125 3.84025109025803e-12
+1835008 0.0875 3.86147640814427e-12
+1966080 0.09375 3.97285273972382e-12
+2097152 0.1 4.30036623573871e-12
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiy.norm2.asc b/Carpet/CarpetInterp/test/waveinterp/phiy.norm2.asc
new file mode 100644
index 000000000..032a35f63
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiy.norm2.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phiy (phiy)
+# iteration time data
+0 0 0
+131072 0.00625 5.18343779507329e-10
+262144 0.0125 1.13025459173354e-10
+393216 0.01875 8.58024498955012e-11
+524288 0.025 2.48311121202448e-11
+655360 0.03125 3.76969874645362e-11
+786432 0.0375 4.28591265832086e-11
+917504 0.04375 5.05689775131339e-11
+1048576 0.05 5.53837109993038e-11
+1179648 0.05625 5.9781605763834e-11
+1310720 0.0625 6.2162612218398e-11
+1441792 0.06875 6.40118017073292e-11
+1572864 0.075 6.41185856980847e-11
+1703936 0.08125 6.40670662348222e-11
+1835008 0.0875 6.32168941306762e-11
+1966080 0.09375 6.25609573472936e-11
+2097152 0.1 6.19448146789359e-11
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiy.norm_inf.asc b/Carpet/CarpetInterp/test/waveinterp/phiy.norm_inf.asc
new file mode 100644
index 000000000..bfe7f8578
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiy.norm_inf.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phiy (phiy)
+# iteration time data
+0 0 0
+131072 0.00625 2.52330210059881e-08
+262144 0.0125 2.59751686828268e-09
+393216 0.01875 1.94813765121201e-09
+524288 0.025 1.13718142310167e-09
+655360 0.03125 1.49819814627278e-09
+786432 0.0375 1.92004376518377e-09
+917504 0.04375 2.25411963198039e-09
+1048576 0.05 2.51675670350412e-09
+1179648 0.05625 2.6865148826614e-09
+1310720 0.0625 2.77054086848342e-09
+1441792 0.06875 2.7710016315662e-09
+1572864 0.075 2.71062697591515e-09
+1703936 0.08125 2.68229908058895e-09
+1835008 0.0875 2.6295740571891e-09
+1966080 0.09375 2.53181084986157e-09
+2097152 0.1 2.41338321187977e-09
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiy.sum.asc b/Carpet/CarpetInterp/test/waveinterp/phiy.sum.asc
new file mode 100644
index 000000000..968fb02cf
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiy.sum.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phiy (phiy)
+# iteration time data
+0 0 0
+131072 0.00625 -3.98216984955567e-25
+262144 0.0125 4.33914518638628e-25
+393216 0.01875 -6.76219456564504e-26
+524288 0.025 8.34046857872071e-26
+655360 0.03125 9.69352280335579e-26
+786432 0.0375 1.2023295297029e-25
+917504 0.04375 -6.139231108792e-26
+1048576 0.05 1.19054887815955e-25
+1179648 0.05625 -1.65391788527732e-25
+1310720 0.0625 -3.2521658564732e-25
+1441792 0.06875 -1.72552278964423e-25
+1572864 0.075 2.49655543840725e-25
+1703936 0.08125 1.2592428857862e-25
+1835008 0.0875 4.32769092604247e-26
+1966080 0.09375 4.79024740642786e-25
+2097152 0.1 6.89925125931813e-25
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiy.x.asc b/Carpet/CarpetInterp/test/waveinterp/phiy.x.asc
new file mode 100644
index 000000000..7ff84590b
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiy.x.asc
@@ -0,0 +1,808 @@
+# WAVEMOL::phiy x (phiy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 5242880 5242880 0 -1 0 0 0
+0 0 0 0 0 524288 5242880 5242880 0 -0.9 0 0 0
+0 0 0 0 0 1048576 5242880 5242880 0 -0.8 0 0 0
+0 0 0 0 0 1572864 5242880 5242880 0 -0.7 0 0 0
+0 0 0 0 0 2097152 5242880 5242880 0 -0.6 0 0 0
+0 0 0 0 0 2621440 5242880 5242880 0 -0.5 0 0 0
+0 0 0 0 0 3145728 5242880 5242880 0 -0.4 0 0 0
+0 0 0 0 0 3670016 5242880 5242880 0 -0.3 0 0 0
+0 0 0 0 0 4194304 5242880 5242880 0 -0.2 0 0 0
+0 0 0 0 0 4718592 5242880 5242880 0 -0.1 0 0 0
+0 0 0 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 0 0 0 5767168 5242880 5242880 0 0.1 0 0 0
+0 0 0 0 0 6291456 5242880 5242880 0 0.2 0 0 0
+0 0 0 0 0 6815744 5242880 5242880 0 0.3 0 0 0
+0 0 0 0 0 7340032 5242880 5242880 0 0.4 0 0 0
+0 0 0 0 0 7864320 5242880 5242880 0 0.5 0 0 0
+0 0 0 0 0 8388608 5242880 5242880 0 0.6 0 0 0
+0 0 0 0 0 8912896 5242880 5242880 0 0.7 0 0 0
+0 0 0 0 0 9437184 5242880 5242880 0 0.8 0 0 0
+0 0 0 0 0 9961472 5242880 5242880 0 0.9 0 0 0
+0 0 0 0 0 10485760 5242880 5242880 0 1 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 2621440 5242880 5242880 0 -0.5 0 0 0
+0 0 1 0 0 2883584 5242880 5242880 0 -0.45 0 0 0
+0 0 1 0 0 3145728 5242880 5242880 0 -0.4 0 0 0
+0 0 1 0 0 3407872 5242880 5242880 0 -0.35 0 0 0
+0 0 1 0 0 3670016 5242880 5242880 0 -0.3 0 0 0
+0 0 1 0 0 3932160 5242880 5242880 0 -0.25 0 0 0
+0 0 1 0 0 4194304 5242880 5242880 0 -0.2 0 0 0
+0 0 1 0 0 4456448 5242880 5242880 0 -0.15 0 0 0
+0 0 1 0 0 4718592 5242880 5242880 0 -0.1 0 0 0
+0 0 1 0 0 4980736 5242880 5242880 0 -0.05 0 0 0
+0 0 1 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 1 0 0 5505024 5242880 5242880 0 0.05 0 0 0
+0 0 1 0 0 5767168 5242880 5242880 0 0.1 0 0 0
+0 0 1 0 0 6029312 5242880 5242880 0 0.15 0 0 0
+0 0 1 0 0 6291456 5242880 5242880 0 0.2 0 0 0
+0 0 1 0 0 6553600 5242880 5242880 0 0.25 0 0 0
+0 0 1 0 0 6815744 5242880 5242880 0 0.3 0 0 0
+0 0 1 0 0 7077888 5242880 5242880 0 0.35 0 0 0
+0 0 1 0 0 7340032 5242880 5242880 0 0.4 0 0 0
+0 0 1 0 0 7602176 5242880 5242880 0 0.45 0 0 0
+0 0 1 0 0 7864320 5242880 5242880 0 0.5 0 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 3932160 5242880 5242880 0 -0.25 0 0 0
+0 0 2 0 0 4063232 5242880 5242880 0 -0.225 0 0 0
+0 0 2 0 0 4194304 5242880 5242880 0 -0.2 0 0 0
+0 0 2 0 0 4325376 5242880 5242880 0 -0.175 0 0 0
+0 0 2 0 0 4456448 5242880 5242880 0 -0.15 0 0 0
+0 0 2 0 0 4587520 5242880 5242880 0 -0.125 0 0 0
+0 0 2 0 0 4718592 5242880 5242880 0 -0.1 0 0 0
+0 0 2 0 0 4849664 5242880 5242880 0 -0.075 0 0 0
+0 0 2 0 0 4980736 5242880 5242880 0 -0.05 0 0 0
+0 0 2 0 0 5111808 5242880 5242880 0 -0.025 0 0 0
+0 0 2 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 2 0 0 5373952 5242880 5242880 0 0.025 0 0 0
+0 0 2 0 0 5505024 5242880 5242880 0 0.05 0 0 0
+0 0 2 0 0 5636096 5242880 5242880 0 0.075 0 0 0
+0 0 2 0 0 5767168 5242880 5242880 0 0.1 0 0 0
+0 0 2 0 0 5898240 5242880 5242880 0 0.125 0 0 0
+0 0 2 0 0 6029312 5242880 5242880 0 0.15 0 0 0
+0 0 2 0 0 6160384 5242880 5242880 0 0.175 0 0 0
+0 0 2 0 0 6291456 5242880 5242880 0 0.2 0 0 0
+0 0 2 0 0 6422528 5242880 5242880 0 0.225 0 0 0
+0 0 2 0 0 6553600 5242880 5242880 0 0.25 0 0 0
+
+
+# iteration 131072
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 2 0 0 3932160 5242880 5242880 0.00625 -0.25 0 0 0
+131072 0 2 0 0 4063232 5242880 5242880 0.00625 -0.225 0 0 0
+131072 0 2 0 0 4194304 5242880 5242880 0.00625 -0.2 0 0 0
+131072 0 2 0 0 4325376 5242880 5242880 0.00625 -0.175 0 0 0
+131072 0 2 0 0 4456448 5242880 5242880 0.00625 -0.15 0 0 0
+131072 0 2 0 0 4587520 5242880 5242880 0.00625 -0.125 0 0 0
+131072 0 2 0 0 4718592 5242880 5242880 0.00625 -0.1 0 0 0
+131072 0 2 0 0 4849664 5242880 5242880 0.00625 -0.075 0 0 0
+131072 0 2 0 0 4980736 5242880 5242880 0.00625 -0.05 0 0 0
+131072 0 2 0 0 5111808 5242880 5242880 0.00625 -0.025 0 0 0
+131072 0 2 0 0 5242880 5242880 5242880 0.00625 0 0 0 0
+131072 0 2 0 0 5373952 5242880 5242880 0.00625 0.025 0 0 0
+131072 0 2 0 0 5505024 5242880 5242880 0.00625 0.05 0 0 0
+131072 0 2 0 0 5636096 5242880 5242880 0.00625 0.075 0 0 0
+131072 0 2 0 0 5767168 5242880 5242880 0.00625 0.1 0 0 0
+131072 0 2 0 0 5898240 5242880 5242880 0.00625 0.125 0 0 0
+131072 0 2 0 0 6029312 5242880 5242880 0.00625 0.15 0 0 0
+131072 0 2 0 0 6160384 5242880 5242880 0.00625 0.175 0 0 0
+131072 0 2 0 0 6291456 5242880 5242880 0.00625 0.2 0 0 0
+131072 0 2 0 0 6422528 5242880 5242880 0.00625 0.225 0 0 0
+131072 0 2 0 0 6553600 5242880 5242880 0.00625 0.25 0 0 0
+
+
+# iteration 262144
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 1 0 0 2621440 5242880 5242880 0.0125 -0.5 0 0 0
+262144 0 1 0 0 2883584 5242880 5242880 0.0125 -0.45 0 0 0
+262144 0 1 0 0 3145728 5242880 5242880 0.0125 -0.4 0 0 0
+262144 0 1 0 0 3407872 5242880 5242880 0.0125 -0.35 0 0 0
+262144 0 1 0 0 3670016 5242880 5242880 0.0125 -0.3 0 0 0
+262144 0 1 0 0 3932160 5242880 5242880 0.0125 -0.25 0 0 0
+262144 0 1 0 0 4194304 5242880 5242880 0.0125 -0.2 0 0 0
+262144 0 1 0 0 4456448 5242880 5242880 0.0125 -0.15 0 0 0
+262144 0 1 0 0 4718592 5242880 5242880 0.0125 -0.1 0 0 0
+262144 0 1 0 0 4980736 5242880 5242880 0.0125 -0.05 0 0 0
+262144 0 1 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+262144 0 1 0 0 5505024 5242880 5242880 0.0125 0.05 0 0 0
+262144 0 1 0 0 5767168 5242880 5242880 0.0125 0.1 0 0 0
+262144 0 1 0 0 6029312 5242880 5242880 0.0125 0.15 0 0 0
+262144 0 1 0 0 6291456 5242880 5242880 0.0125 0.2 0 0 0
+262144 0 1 0 0 6553600 5242880 5242880 0.0125 0.25 0 0 0
+262144 0 1 0 0 6815744 5242880 5242880 0.0125 0.3 0 0 0
+262144 0 1 0 0 7077888 5242880 5242880 0.0125 0.35 0 0 0
+262144 0 1 0 0 7340032 5242880 5242880 0.0125 0.4 0 0 0
+262144 0 1 0 0 7602176 5242880 5242880 0.0125 0.45 0 0 0
+262144 0 1 0 0 7864320 5242880 5242880 0.0125 0.5 0 0 0
+
+
+# iteration 262144
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 2 0 0 3932160 5242880 5242880 0.0125 -0.25 0 0 0
+262144 0 2 0 0 4063232 5242880 5242880 0.0125 -0.225 0 0 0
+262144 0 2 0 0 4194304 5242880 5242880 0.0125 -0.2 0 0 0
+262144 0 2 0 0 4325376 5242880 5242880 0.0125 -0.175 0 0 0
+262144 0 2 0 0 4456448 5242880 5242880 0.0125 -0.15 0 0 0
+262144 0 2 0 0 4587520 5242880 5242880 0.0125 -0.125 0 0 0
+262144 0 2 0 0 4718592 5242880 5242880 0.0125 -0.1 0 0 0
+262144 0 2 0 0 4849664 5242880 5242880 0.0125 -0.075 0 0 0
+262144 0 2 0 0 4980736 5242880 5242880 0.0125 -0.05 0 0 0
+262144 0 2 0 0 5111808 5242880 5242880 0.0125 -0.025 0 0 0
+262144 0 2 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+262144 0 2 0 0 5373952 5242880 5242880 0.0125 0.025 0 0 0
+262144 0 2 0 0 5505024 5242880 5242880 0.0125 0.05 0 0 0
+262144 0 2 0 0 5636096 5242880 5242880 0.0125 0.075 0 0 0
+262144 0 2 0 0 5767168 5242880 5242880 0.0125 0.1 0 0 0
+262144 0 2 0 0 5898240 5242880 5242880 0.0125 0.125 0 0 0
+262144 0 2 0 0 6029312 5242880 5242880 0.0125 0.15 0 0 0
+262144 0 2 0 0 6160384 5242880 5242880 0.0125 0.175 0 0 0
+262144 0 2 0 0 6291456 5242880 5242880 0.0125 0.2 0 0 0
+262144 0 2 0 0 6422528 5242880 5242880 0.0125 0.225 0 0 0
+262144 0 2 0 0 6553600 5242880 5242880 0.0125 0.25 0 0 0
+
+
+# iteration 393216
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 2 0 0 3932160 5242880 5242880 0.01875 -0.25 0 0 0
+393216 0 2 0 0 4063232 5242880 5242880 0.01875 -0.225 0 0 0
+393216 0 2 0 0 4194304 5242880 5242880 0.01875 -0.2 0 0 0
+393216 0 2 0 0 4325376 5242880 5242880 0.01875 -0.175 0 0 0
+393216 0 2 0 0 4456448 5242880 5242880 0.01875 -0.15 0 0 0
+393216 0 2 0 0 4587520 5242880 5242880 0.01875 -0.125 0 0 0
+393216 0 2 0 0 4718592 5242880 5242880 0.01875 -0.1 0 0 0
+393216 0 2 0 0 4849664 5242880 5242880 0.01875 -0.075 0 0 0
+393216 0 2 0 0 4980736 5242880 5242880 0.01875 -0.05 0 0 0
+393216 0 2 0 0 5111808 5242880 5242880 0.01875 -0.025 0 0 0
+393216 0 2 0 0 5242880 5242880 5242880 0.01875 0 0 0 0
+393216 0 2 0 0 5373952 5242880 5242880 0.01875 0.025 0 0 0
+393216 0 2 0 0 5505024 5242880 5242880 0.01875 0.05 0 0 0
+393216 0 2 0 0 5636096 5242880 5242880 0.01875 0.075 0 0 0
+393216 0 2 0 0 5767168 5242880 5242880 0.01875 0.1 0 0 0
+393216 0 2 0 0 5898240 5242880 5242880 0.01875 0.125 0 0 0
+393216 0 2 0 0 6029312 5242880 5242880 0.01875 0.15 0 0 0
+393216 0 2 0 0 6160384 5242880 5242880 0.01875 0.175 0 0 0
+393216 0 2 0 0 6291456 5242880 5242880 0.01875 0.2 0 0 0
+393216 0 2 0 0 6422528 5242880 5242880 0.01875 0.225 0 0 0
+393216 0 2 0 0 6553600 5242880 5242880 0.01875 0.25 0 0 0
+
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 0 5242880 5242880 0.025 -1 0 0 0
+524288 0 0 0 0 524288 5242880 5242880 0.025 -0.9 0 0 0
+524288 0 0 0 0 1048576 5242880 5242880 0.025 -0.8 0 0 0
+524288 0 0 0 0 1572864 5242880 5242880 0.025 -0.7 0 0 0
+524288 0 0 0 0 2097152 5242880 5242880 0.025 -0.6 0 0 0
+524288 0 0 0 0 2621440 5242880 5242880 0.025 -0.5 0 0 0
+524288 0 0 0 0 3145728 5242880 5242880 0.025 -0.4 0 0 0
+524288 0 0 0 0 3670016 5242880 5242880 0.025 -0.3 0 0 0
+524288 0 0 0 0 4194304 5242880 5242880 0.025 -0.2 0 0 0
+524288 0 0 0 0 4718592 5242880 5242880 0.025 -0.1 0 0 0
+524288 0 0 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 0 0 0 5767168 5242880 5242880 0.025 0.1 0 0 0
+524288 0 0 0 0 6291456 5242880 5242880 0.025 0.2 0 0 0
+524288 0 0 0 0 6815744 5242880 5242880 0.025 0.3 0 0 0
+524288 0 0 0 0 7340032 5242880 5242880 0.025 0.4 0 0 0
+524288 0 0 0 0 7864320 5242880 5242880 0.025 0.5 0 0 0
+524288 0 0 0 0 8388608 5242880 5242880 0.025 0.6 0 0 0
+524288 0 0 0 0 8912896 5242880 5242880 0.025 0.7 0 0 0
+524288 0 0 0 0 9437184 5242880 5242880 0.025 0.8 0 0 0
+524288 0 0 0 0 9961472 5242880 5242880 0.025 0.9 0 0 0
+524288 0 0 0 0 10485760 5242880 5242880 0.025 1 0 0 0
+
+
+# iteration 524288
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 1 0 0 2621440 5242880 5242880 0.025 -0.5 0 0 0
+524288 0 1 0 0 2883584 5242880 5242880 0.025 -0.45 0 0 0
+524288 0 1 0 0 3145728 5242880 5242880 0.025 -0.4 0 0 0
+524288 0 1 0 0 3407872 5242880 5242880 0.025 -0.35 0 0 0
+524288 0 1 0 0 3670016 5242880 5242880 0.025 -0.3 0 0 0
+524288 0 1 0 0 3932160 5242880 5242880 0.025 -0.25 0 0 0
+524288 0 1 0 0 4194304 5242880 5242880 0.025 -0.2 0 0 0
+524288 0 1 0 0 4456448 5242880 5242880 0.025 -0.15 0 0 0
+524288 0 1 0 0 4718592 5242880 5242880 0.025 -0.1 0 0 0
+524288 0 1 0 0 4980736 5242880 5242880 0.025 -0.05 0 0 0
+524288 0 1 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 1 0 0 5505024 5242880 5242880 0.025 0.05 0 0 0
+524288 0 1 0 0 5767168 5242880 5242880 0.025 0.1 0 0 0
+524288 0 1 0 0 6029312 5242880 5242880 0.025 0.15 0 0 0
+524288 0 1 0 0 6291456 5242880 5242880 0.025 0.2 0 0 0
+524288 0 1 0 0 6553600 5242880 5242880 0.025 0.25 0 0 0
+524288 0 1 0 0 6815744 5242880 5242880 0.025 0.3 0 0 0
+524288 0 1 0 0 7077888 5242880 5242880 0.025 0.35 0 0 0
+524288 0 1 0 0 7340032 5242880 5242880 0.025 0.4 0 0 0
+524288 0 1 0 0 7602176 5242880 5242880 0.025 0.45 0 0 0
+524288 0 1 0 0 7864320 5242880 5242880 0.025 0.5 0 0 0
+
+
+# iteration 524288
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 2 0 0 3932160 5242880 5242880 0.025 -0.25 0 0 0
+524288 0 2 0 0 4063232 5242880 5242880 0.025 -0.225 0 0 0
+524288 0 2 0 0 4194304 5242880 5242880 0.025 -0.2 0 0 0
+524288 0 2 0 0 4325376 5242880 5242880 0.025 -0.175 0 0 0
+524288 0 2 0 0 4456448 5242880 5242880 0.025 -0.15 0 0 0
+524288 0 2 0 0 4587520 5242880 5242880 0.025 -0.125 0 0 0
+524288 0 2 0 0 4718592 5242880 5242880 0.025 -0.1 0 0 0
+524288 0 2 0 0 4849664 5242880 5242880 0.025 -0.075 0 0 0
+524288 0 2 0 0 4980736 5242880 5242880 0.025 -0.05 0 0 0
+524288 0 2 0 0 5111808 5242880 5242880 0.025 -0.025 0 0 0
+524288 0 2 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 2 0 0 5373952 5242880 5242880 0.025 0.025 0 0 0
+524288 0 2 0 0 5505024 5242880 5242880 0.025 0.05 0 0 0
+524288 0 2 0 0 5636096 5242880 5242880 0.025 0.075 0 0 0
+524288 0 2 0 0 5767168 5242880 5242880 0.025 0.1 0 0 0
+524288 0 2 0 0 5898240 5242880 5242880 0.025 0.125 0 0 0
+524288 0 2 0 0 6029312 5242880 5242880 0.025 0.15 0 0 0
+524288 0 2 0 0 6160384 5242880 5242880 0.025 0.175 0 0 0
+524288 0 2 0 0 6291456 5242880 5242880 0.025 0.2 0 0 0
+524288 0 2 0 0 6422528 5242880 5242880 0.025 0.225 0 0 0
+524288 0 2 0 0 6553600 5242880 5242880 0.025 0.25 0 0 0
+
+
+# iteration 655360
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 2 0 0 3932160 5242880 5242880 0.03125 -0.25 0 0 0
+655360 0 2 0 0 4063232 5242880 5242880 0.03125 -0.225 0 0 0
+655360 0 2 0 0 4194304 5242880 5242880 0.03125 -0.2 0 0 0
+655360 0 2 0 0 4325376 5242880 5242880 0.03125 -0.175 0 0 0
+655360 0 2 0 0 4456448 5242880 5242880 0.03125 -0.15 0 0 0
+655360 0 2 0 0 4587520 5242880 5242880 0.03125 -0.125 0 0 0
+655360 0 2 0 0 4718592 5242880 5242880 0.03125 -0.1 0 0 0
+655360 0 2 0 0 4849664 5242880 5242880 0.03125 -0.075 0 0 0
+655360 0 2 0 0 4980736 5242880 5242880 0.03125 -0.05 0 0 0
+655360 0 2 0 0 5111808 5242880 5242880 0.03125 -0.025 0 0 0
+655360 0 2 0 0 5242880 5242880 5242880 0.03125 0 0 0 0
+655360 0 2 0 0 5373952 5242880 5242880 0.03125 0.025 0 0 0
+655360 0 2 0 0 5505024 5242880 5242880 0.03125 0.05 0 0 0
+655360 0 2 0 0 5636096 5242880 5242880 0.03125 0.075 0 0 0
+655360 0 2 0 0 5767168 5242880 5242880 0.03125 0.1 0 0 0
+655360 0 2 0 0 5898240 5242880 5242880 0.03125 0.125 0 0 0
+655360 0 2 0 0 6029312 5242880 5242880 0.03125 0.15 0 0 0
+655360 0 2 0 0 6160384 5242880 5242880 0.03125 0.175 0 0 0
+655360 0 2 0 0 6291456 5242880 5242880 0.03125 0.2 0 0 0
+655360 0 2 0 0 6422528 5242880 5242880 0.03125 0.225 0 0 0
+655360 0 2 0 0 6553600 5242880 5242880 0.03125 0.25 0 0 0
+
+
+# iteration 786432
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 1 0 0 2621440 5242880 5242880 0.0375 -0.5 0 0 0
+786432 0 1 0 0 2883584 5242880 5242880 0.0375 -0.45 0 0 0
+786432 0 1 0 0 3145728 5242880 5242880 0.0375 -0.4 0 0 0
+786432 0 1 0 0 3407872 5242880 5242880 0.0375 -0.35 0 0 0
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+786432 0 1 0 0 5767168 5242880 5242880 0.0375 0.1 0 0 0
+786432 0 1 0 0 6029312 5242880 5242880 0.0375 0.15 0 0 0
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+786432 0 1 0 0 6815744 5242880 5242880 0.0375 0.3 0 0 0
+786432 0 1 0 0 7077888 5242880 5242880 0.0375 0.35 0 0 0
+786432 0 1 0 0 7340032 5242880 5242880 0.0375 0.4 0 0 0
+786432 0 1 0 0 7602176 5242880 5242880 0.0375 0.45 0 0 0
+786432 0 1 0 0 7864320 5242880 5242880 0.0375 0.5 0 0 0
+
+
+# iteration 786432
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 2 0 0 3932160 5242880 5242880 0.0375 -0.25 0 0 0
+786432 0 2 0 0 4063232 5242880 5242880 0.0375 -0.225 0 0 0
+786432 0 2 0 0 4194304 5242880 5242880 0.0375 -0.2 0 0 0
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+786432 0 2 0 0 4456448 5242880 5242880 0.0375 -0.15 0 0 0
+786432 0 2 0 0 4587520 5242880 5242880 0.0375 -0.125 0 0 0
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+786432 0 2 0 0 4849664 5242880 5242880 0.0375 -0.075 0 0 0
+786432 0 2 0 0 4980736 5242880 5242880 0.0375 -0.05 0 0 0
+786432 0 2 0 0 5111808 5242880 5242880 0.0375 -0.025 0 0 0
+786432 0 2 0 0 5242880 5242880 5242880 0.0375 0 0 0 0
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+786432 0 2 0 0 5505024 5242880 5242880 0.0375 0.05 0 0 0
+786432 0 2 0 0 5636096 5242880 5242880 0.0375 0.075 0 0 0
+786432 0 2 0 0 5767168 5242880 5242880 0.0375 0.1 0 0 0
+786432 0 2 0 0 5898240 5242880 5242880 0.0375 0.125 0 0 0
+786432 0 2 0 0 6029312 5242880 5242880 0.0375 0.15 0 0 0
+786432 0 2 0 0 6160384 5242880 5242880 0.0375 0.175 0 0 0
+786432 0 2 0 0 6291456 5242880 5242880 0.0375 0.2 0 0 0
+786432 0 2 0 0 6422528 5242880 5242880 0.0375 0.225 0 0 0
+786432 0 2 0 0 6553600 5242880 5242880 0.0375 0.25 0 0 0
+
+
+# iteration 917504
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 2 0 0 3932160 5242880 5242880 0.04375 -0.25 0 0 0
+917504 0 2 0 0 4063232 5242880 5242880 0.04375 -0.225 0 0 0
+917504 0 2 0 0 4194304 5242880 5242880 0.04375 -0.2 0 0 0
+917504 0 2 0 0 4325376 5242880 5242880 0.04375 -0.175 0 0 0
+917504 0 2 0 0 4456448 5242880 5242880 0.04375 -0.15 0 0 0
+917504 0 2 0 0 4587520 5242880 5242880 0.04375 -0.125 0 0 0
+917504 0 2 0 0 4718592 5242880 5242880 0.04375 -0.1 0 0 0
+917504 0 2 0 0 4849664 5242880 5242880 0.04375 -0.075 0 0 0
+917504 0 2 0 0 4980736 5242880 5242880 0.04375 -0.05 0 0 0
+917504 0 2 0 0 5111808 5242880 5242880 0.04375 -0.025 0 0 0
+917504 0 2 0 0 5242880 5242880 5242880 0.04375 0 0 0 0
+917504 0 2 0 0 5373952 5242880 5242880 0.04375 0.025 0 0 0
+917504 0 2 0 0 5505024 5242880 5242880 0.04375 0.05 0 0 0
+917504 0 2 0 0 5636096 5242880 5242880 0.04375 0.075 0 0 0
+917504 0 2 0 0 5767168 5242880 5242880 0.04375 0.1 0 0 0
+917504 0 2 0 0 5898240 5242880 5242880 0.04375 0.125 0 0 0
+917504 0 2 0 0 6029312 5242880 5242880 0.04375 0.15 0 0 0
+917504 0 2 0 0 6160384 5242880 5242880 0.04375 0.175 0 0 0
+917504 0 2 0 0 6291456 5242880 5242880 0.04375 0.2 0 0 0
+917504 0 2 0 0 6422528 5242880 5242880 0.04375 0.225 0 0 0
+917504 0 2 0 0 6553600 5242880 5242880 0.04375 0.25 0 0 0
+
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 0 5242880 5242880 0.05 -1 0 0 0
+1048576 0 0 0 0 524288 5242880 5242880 0.05 -0.9 0 0 0
+1048576 0 0 0 0 1048576 5242880 5242880 0.05 -0.8 0 0 0
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+1048576 0 0 0 0 2097152 5242880 5242880 0.05 -0.6 0 0 0
+1048576 0 0 0 0 2621440 5242880 5242880 0.05 -0.5 0 0 0
+1048576 0 0 0 0 3145728 5242880 5242880 0.05 -0.4 0 0 0
+1048576 0 0 0 0 3670016 5242880 5242880 0.05 -0.3 0 0 0
+1048576 0 0 0 0 4194304 5242880 5242880 0.05 -0.2 0 0 0
+1048576 0 0 0 0 4718592 5242880 5242880 0.05 -0.1 0 0 0
+1048576 0 0 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 0 0 0 5767168 5242880 5242880 0.05 0.1 0 0 0
+1048576 0 0 0 0 6291456 5242880 5242880 0.05 0.2 0 0 0
+1048576 0 0 0 0 6815744 5242880 5242880 0.05 0.3 0 0 0
+1048576 0 0 0 0 7340032 5242880 5242880 0.05 0.4 0 0 0
+1048576 0 0 0 0 7864320 5242880 5242880 0.05 0.5 0 0 0
+1048576 0 0 0 0 8388608 5242880 5242880 0.05 0.6 0 0 0
+1048576 0 0 0 0 8912896 5242880 5242880 0.05 0.7 0 0 0
+1048576 0 0 0 0 9437184 5242880 5242880 0.05 0.8 0 0 0
+1048576 0 0 0 0 9961472 5242880 5242880 0.05 0.9 0 0 0
+1048576 0 0 0 0 10485760 5242880 5242880 0.05 1 0 0 0
+
+
+# iteration 1048576
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 1 0 0 2621440 5242880 5242880 0.05 -0.5 0 0 0
+1048576 0 1 0 0 2883584 5242880 5242880 0.05 -0.45 0 0 0
+1048576 0 1 0 0 3145728 5242880 5242880 0.05 -0.4 0 0 0
+1048576 0 1 0 0 3407872 5242880 5242880 0.05 -0.35 0 0 0
+1048576 0 1 0 0 3670016 5242880 5242880 0.05 -0.3 0 0 0
+1048576 0 1 0 0 3932160 5242880 5242880 0.05 -0.25 0 0 0
+1048576 0 1 0 0 4194304 5242880 5242880 0.05 -0.2 0 0 0
+1048576 0 1 0 0 4456448 5242880 5242880 0.05 -0.15 0 0 0
+1048576 0 1 0 0 4718592 5242880 5242880 0.05 -0.1 0 0 0
+1048576 0 1 0 0 4980736 5242880 5242880 0.05 -0.05 0 0 0
+1048576 0 1 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 1 0 0 5505024 5242880 5242880 0.05 0.05 0 0 0
+1048576 0 1 0 0 5767168 5242880 5242880 0.05 0.1 0 0 0
+1048576 0 1 0 0 6029312 5242880 5242880 0.05 0.15 0 0 0
+1048576 0 1 0 0 6291456 5242880 5242880 0.05 0.2 0 0 0
+1048576 0 1 0 0 6553600 5242880 5242880 0.05 0.25 0 0 0
+1048576 0 1 0 0 6815744 5242880 5242880 0.05 0.3 0 0 0
+1048576 0 1 0 0 7077888 5242880 5242880 0.05 0.35 0 0 0
+1048576 0 1 0 0 7340032 5242880 5242880 0.05 0.4 0 0 0
+1048576 0 1 0 0 7602176 5242880 5242880 0.05 0.45 0 0 0
+1048576 0 1 0 0 7864320 5242880 5242880 0.05 0.5 0 0 0
+
+
+# iteration 1048576
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 2 0 0 3932160 5242880 5242880 0.05 -0.25 0 0 0
+1048576 0 2 0 0 4063232 5242880 5242880 0.05 -0.225 0 0 0
+1048576 0 2 0 0 4194304 5242880 5242880 0.05 -0.2 0 0 0
+1048576 0 2 0 0 4325376 5242880 5242880 0.05 -0.175 0 0 0
+1048576 0 2 0 0 4456448 5242880 5242880 0.05 -0.15 0 0 0
+1048576 0 2 0 0 4587520 5242880 5242880 0.05 -0.125 0 0 0
+1048576 0 2 0 0 4718592 5242880 5242880 0.05 -0.1 0 0 0
+1048576 0 2 0 0 4849664 5242880 5242880 0.05 -0.075 0 0 0
+1048576 0 2 0 0 4980736 5242880 5242880 0.05 -0.05 0 0 0
+1048576 0 2 0 0 5111808 5242880 5242880 0.05 -0.025 0 0 0
+1048576 0 2 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 2 0 0 5373952 5242880 5242880 0.05 0.025 0 0 0
+1048576 0 2 0 0 5505024 5242880 5242880 0.05 0.05 0 0 0
+1048576 0 2 0 0 5636096 5242880 5242880 0.05 0.075 0 0 0
+1048576 0 2 0 0 5767168 5242880 5242880 0.05 0.1 0 0 0
+1048576 0 2 0 0 5898240 5242880 5242880 0.05 0.125 0 0 0
+1048576 0 2 0 0 6029312 5242880 5242880 0.05 0.15 0 0 0
+1048576 0 2 0 0 6160384 5242880 5242880 0.05 0.175 0 0 0
+1048576 0 2 0 0 6291456 5242880 5242880 0.05 0.2 0 0 0
+1048576 0 2 0 0 6422528 5242880 5242880 0.05 0.225 0 0 0
+1048576 0 2 0 0 6553600 5242880 5242880 0.05 0.25 0 0 0
+
+
+# iteration 1179648
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 2 0 0 3932160 5242880 5242880 0.05625 -0.25 0 0 0
+1179648 0 2 0 0 4063232 5242880 5242880 0.05625 -0.225 0 0 0
+1179648 0 2 0 0 4194304 5242880 5242880 0.05625 -0.2 0 0 0
+1179648 0 2 0 0 4325376 5242880 5242880 0.05625 -0.175 0 0 0
+1179648 0 2 0 0 4456448 5242880 5242880 0.05625 -0.15 0 0 0
+1179648 0 2 0 0 4587520 5242880 5242880 0.05625 -0.125 0 0 0
+1179648 0 2 0 0 4718592 5242880 5242880 0.05625 -0.1 0 0 0
+1179648 0 2 0 0 4849664 5242880 5242880 0.05625 -0.075 0 0 0
+1179648 0 2 0 0 4980736 5242880 5242880 0.05625 -0.05 0 0 0
+1179648 0 2 0 0 5111808 5242880 5242880 0.05625 -0.025 0 0 0
+1179648 0 2 0 0 5242880 5242880 5242880 0.05625 0 0 0 0
+1179648 0 2 0 0 5373952 5242880 5242880 0.05625 0.025 0 0 0
+1179648 0 2 0 0 5505024 5242880 5242880 0.05625 0.05 0 0 0
+1179648 0 2 0 0 5636096 5242880 5242880 0.05625 0.075 0 0 0
+1179648 0 2 0 0 5767168 5242880 5242880 0.05625 0.1 0 0 0
+1179648 0 2 0 0 5898240 5242880 5242880 0.05625 0.125 0 0 0
+1179648 0 2 0 0 6029312 5242880 5242880 0.05625 0.15 0 0 0
+1179648 0 2 0 0 6160384 5242880 5242880 0.05625 0.175 0 0 0
+1179648 0 2 0 0 6291456 5242880 5242880 0.05625 0.2 0 0 0
+1179648 0 2 0 0 6422528 5242880 5242880 0.05625 0.225 0 0 0
+1179648 0 2 0 0 6553600 5242880 5242880 0.05625 0.25 0 0 0
+
+
+# iteration 1310720
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 1 0 0 2621440 5242880 5242880 0.0625 -0.5 0 0 0
+1310720 0 1 0 0 2883584 5242880 5242880 0.0625 -0.45 0 0 0
+1310720 0 1 0 0 3145728 5242880 5242880 0.0625 -0.4 0 0 0
+1310720 0 1 0 0 3407872 5242880 5242880 0.0625 -0.35 0 0 0
+1310720 0 1 0 0 3670016 5242880 5242880 0.0625 -0.3 0 0 0
+1310720 0 1 0 0 3932160 5242880 5242880 0.0625 -0.25 0 0 0
+1310720 0 1 0 0 4194304 5242880 5242880 0.0625 -0.2 0 0 0
+1310720 0 1 0 0 4456448 5242880 5242880 0.0625 -0.15 0 0 0
+1310720 0 1 0 0 4718592 5242880 5242880 0.0625 -0.1 0 0 0
+1310720 0 1 0 0 4980736 5242880 5242880 0.0625 -0.05 0 0 0
+1310720 0 1 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
+1310720 0 1 0 0 5505024 5242880 5242880 0.0625 0.05 0 0 0
+1310720 0 1 0 0 5767168 5242880 5242880 0.0625 0.1 0 0 0
+1310720 0 1 0 0 6029312 5242880 5242880 0.0625 0.15 0 0 0
+1310720 0 1 0 0 6291456 5242880 5242880 0.0625 0.2 0 0 0
+1310720 0 1 0 0 6553600 5242880 5242880 0.0625 0.25 0 0 0
+1310720 0 1 0 0 6815744 5242880 5242880 0.0625 0.3 0 0 0
+1310720 0 1 0 0 7077888 5242880 5242880 0.0625 0.35 0 0 0
+1310720 0 1 0 0 7340032 5242880 5242880 0.0625 0.4 0 0 0
+1310720 0 1 0 0 7602176 5242880 5242880 0.0625 0.45 0 0 0
+1310720 0 1 0 0 7864320 5242880 5242880 0.0625 0.5 0 0 0
+
+
+# iteration 1310720
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 2 0 0 3932160 5242880 5242880 0.0625 -0.25 0 0 0
+1310720 0 2 0 0 4063232 5242880 5242880 0.0625 -0.225 0 0 0
+1310720 0 2 0 0 4194304 5242880 5242880 0.0625 -0.2 0 0 0
+1310720 0 2 0 0 4325376 5242880 5242880 0.0625 -0.175 0 0 0
+1310720 0 2 0 0 4456448 5242880 5242880 0.0625 -0.15 0 0 0
+1310720 0 2 0 0 4587520 5242880 5242880 0.0625 -0.125 0 0 0
+1310720 0 2 0 0 4718592 5242880 5242880 0.0625 -0.1 0 0 0
+1310720 0 2 0 0 4849664 5242880 5242880 0.0625 -0.075 0 0 0
+1310720 0 2 0 0 4980736 5242880 5242880 0.0625 -0.05 0 0 0
+1310720 0 2 0 0 5111808 5242880 5242880 0.0625 -0.025 0 0 0
+1310720 0 2 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
+1310720 0 2 0 0 5373952 5242880 5242880 0.0625 0.025 0 0 0
+1310720 0 2 0 0 5505024 5242880 5242880 0.0625 0.05 0 0 0
+1310720 0 2 0 0 5636096 5242880 5242880 0.0625 0.075 0 0 0
+1310720 0 2 0 0 5767168 5242880 5242880 0.0625 0.1 0 0 0
+1310720 0 2 0 0 5898240 5242880 5242880 0.0625 0.125 0 0 0
+1310720 0 2 0 0 6029312 5242880 5242880 0.0625 0.15 0 0 0
+1310720 0 2 0 0 6160384 5242880 5242880 0.0625 0.175 0 0 0
+1310720 0 2 0 0 6291456 5242880 5242880 0.0625 0.2 0 0 0
+1310720 0 2 0 0 6422528 5242880 5242880 0.0625 0.225 0 0 0
+1310720 0 2 0 0 6553600 5242880 5242880 0.0625 0.25 0 0 0
+
+
+# iteration 1441792
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 2 0 0 3932160 5242880 5242880 0.06875 -0.25 0 0 0
+1441792 0 2 0 0 4063232 5242880 5242880 0.06875 -0.225 0 0 0
+1441792 0 2 0 0 4194304 5242880 5242880 0.06875 -0.2 0 0 0
+1441792 0 2 0 0 4325376 5242880 5242880 0.06875 -0.175 0 0 0
+1441792 0 2 0 0 4456448 5242880 5242880 0.06875 -0.15 0 0 0
+1441792 0 2 0 0 4587520 5242880 5242880 0.06875 -0.125 0 0 0
+1441792 0 2 0 0 4718592 5242880 5242880 0.06875 -0.1 0 0 0
+1441792 0 2 0 0 4849664 5242880 5242880 0.06875 -0.075 0 0 0
+1441792 0 2 0 0 4980736 5242880 5242880 0.06875 -0.05 0 0 0
+1441792 0 2 0 0 5111808 5242880 5242880 0.06875 -0.025 0 0 0
+1441792 0 2 0 0 5242880 5242880 5242880 0.06875 0 0 0 0
+1441792 0 2 0 0 5373952 5242880 5242880 0.06875 0.025 0 0 0
+1441792 0 2 0 0 5505024 5242880 5242880 0.06875 0.05 0 0 0
+1441792 0 2 0 0 5636096 5242880 5242880 0.06875 0.075 0 0 0
+1441792 0 2 0 0 5767168 5242880 5242880 0.06875 0.1 0 0 0
+1441792 0 2 0 0 5898240 5242880 5242880 0.06875 0.125 0 0 0
+1441792 0 2 0 0 6029312 5242880 5242880 0.06875 0.15 0 0 0
+1441792 0 2 0 0 6160384 5242880 5242880 0.06875 0.175 0 0 0
+1441792 0 2 0 0 6291456 5242880 5242880 0.06875 0.2 0 0 0
+1441792 0 2 0 0 6422528 5242880 5242880 0.06875 0.225 0 0 0
+1441792 0 2 0 0 6553600 5242880 5242880 0.06875 0.25 0 0 0
+
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 0 5242880 5242880 0.075 -1 0 0 0
+1572864 0 0 0 0 524288 5242880 5242880 0.075 -0.9 0 0 0
+1572864 0 0 0 0 1048576 5242880 5242880 0.075 -0.8 0 0 0
+1572864 0 0 0 0 1572864 5242880 5242880 0.075 -0.7 0 0 0
+1572864 0 0 0 0 2097152 5242880 5242880 0.075 -0.6 0 0 0
+1572864 0 0 0 0 2621440 5242880 5242880 0.075 -0.5 0 0 0
+1572864 0 0 0 0 3145728 5242880 5242880 0.075 -0.4 0 0 0
+1572864 0 0 0 0 3670016 5242880 5242880 0.075 -0.3 0 0 0
+1572864 0 0 0 0 4194304 5242880 5242880 0.075 -0.2 0 0 0
+1572864 0 0 0 0 4718592 5242880 5242880 0.075 -0.1 0 0 0
+1572864 0 0 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+1572864 0 0 0 0 5767168 5242880 5242880 0.075 0.1 0 0 0
+1572864 0 0 0 0 6291456 5242880 5242880 0.075 0.2 0 0 0
+1572864 0 0 0 0 6815744 5242880 5242880 0.075 0.3 0 0 0
+1572864 0 0 0 0 7340032 5242880 5242880 0.075 0.4 0 0 0
+1572864 0 0 0 0 7864320 5242880 5242880 0.075 0.5 0 0 0
+1572864 0 0 0 0 8388608 5242880 5242880 0.075 0.6 0 0 0
+1572864 0 0 0 0 8912896 5242880 5242880 0.075 0.7 0 0 0
+1572864 0 0 0 0 9437184 5242880 5242880 0.075 0.8 0 0 0
+1572864 0 0 0 0 9961472 5242880 5242880 0.075 0.9 0 0 0
+1572864 0 0 0 0 10485760 5242880 5242880 0.075 1 0 0 0
+
+
+# iteration 1572864
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 1 0 0 2621440 5242880 5242880 0.075 -0.5 0 0 0
+1572864 0 1 0 0 2883584 5242880 5242880 0.075 -0.45 0 0 0
+1572864 0 1 0 0 3145728 5242880 5242880 0.075 -0.4 0 0 0
+1572864 0 1 0 0 3407872 5242880 5242880 0.075 -0.35 0 0 0
+1572864 0 1 0 0 3670016 5242880 5242880 0.075 -0.3 0 0 0
+1572864 0 1 0 0 3932160 5242880 5242880 0.075 -0.25 0 0 0
+1572864 0 1 0 0 4194304 5242880 5242880 0.075 -0.2 0 0 0
+1572864 0 1 0 0 4456448 5242880 5242880 0.075 -0.15 0 0 0
+1572864 0 1 0 0 4718592 5242880 5242880 0.075 -0.1 0 0 0
+1572864 0 1 0 0 4980736 5242880 5242880 0.075 -0.05 0 0 0
+1572864 0 1 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+1572864 0 1 0 0 5505024 5242880 5242880 0.075 0.05 0 0 0
+1572864 0 1 0 0 5767168 5242880 5242880 0.075 0.1 0 0 0
+1572864 0 1 0 0 6029312 5242880 5242880 0.075 0.15 0 0 0
+1572864 0 1 0 0 6291456 5242880 5242880 0.075 0.2 0 0 0
+1572864 0 1 0 0 6553600 5242880 5242880 0.075 0.25 0 0 0
+1572864 0 1 0 0 6815744 5242880 5242880 0.075 0.3 0 0 0
+1572864 0 1 0 0 7077888 5242880 5242880 0.075 0.35 0 0 0
+1572864 0 1 0 0 7340032 5242880 5242880 0.075 0.4 0 0 0
+1572864 0 1 0 0 7602176 5242880 5242880 0.075 0.45 0 0 0
+1572864 0 1 0 0 7864320 5242880 5242880 0.075 0.5 0 0 0
+
+
+# iteration 1572864
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 2 0 0 3932160 5242880 5242880 0.075 -0.25 0 0 0
+1572864 0 2 0 0 4063232 5242880 5242880 0.075 -0.225 0 0 0
+1572864 0 2 0 0 4194304 5242880 5242880 0.075 -0.2 0 0 0
+1572864 0 2 0 0 4325376 5242880 5242880 0.075 -0.175 0 0 0
+1572864 0 2 0 0 4456448 5242880 5242880 0.075 -0.15 0 0 0
+1572864 0 2 0 0 4587520 5242880 5242880 0.075 -0.125 0 0 0
+1572864 0 2 0 0 4718592 5242880 5242880 0.075 -0.1 0 0 0
+1572864 0 2 0 0 4849664 5242880 5242880 0.075 -0.075 0 0 0
+1572864 0 2 0 0 4980736 5242880 5242880 0.075 -0.05 0 0 0
+1572864 0 2 0 0 5111808 5242880 5242880 0.075 -0.025 0 0 0
+1572864 0 2 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+1572864 0 2 0 0 5373952 5242880 5242880 0.075 0.025 0 0 0
+1572864 0 2 0 0 5505024 5242880 5242880 0.075 0.05 0 0 0
+1572864 0 2 0 0 5636096 5242880 5242880 0.075 0.075 0 0 0
+1572864 0 2 0 0 5767168 5242880 5242880 0.075 0.1 0 0 0
+1572864 0 2 0 0 5898240 5242880 5242880 0.075 0.125 0 0 0
+1572864 0 2 0 0 6029312 5242880 5242880 0.075 0.15 0 0 0
+1572864 0 2 0 0 6160384 5242880 5242880 0.075 0.175 0 0 0
+1572864 0 2 0 0 6291456 5242880 5242880 0.075 0.2 0 0 0
+1572864 0 2 0 0 6422528 5242880 5242880 0.075 0.225 0 0 0
+1572864 0 2 0 0 6553600 5242880 5242880 0.075 0.25 0 0 0
+
+
+# iteration 1703936
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 2 0 0 3932160 5242880 5242880 0.08125 -0.25 0 0 0
+1703936 0 2 0 0 4063232 5242880 5242880 0.08125 -0.225 0 0 0
+1703936 0 2 0 0 4194304 5242880 5242880 0.08125 -0.2 0 0 0
+1703936 0 2 0 0 4325376 5242880 5242880 0.08125 -0.175 0 0 0
+1703936 0 2 0 0 4456448 5242880 5242880 0.08125 -0.15 0 0 0
+1703936 0 2 0 0 4587520 5242880 5242880 0.08125 -0.125 0 0 0
+1703936 0 2 0 0 4718592 5242880 5242880 0.08125 -0.1 0 0 0
+1703936 0 2 0 0 4849664 5242880 5242880 0.08125 -0.075 0 0 0
+1703936 0 2 0 0 4980736 5242880 5242880 0.08125 -0.05 0 0 0
+1703936 0 2 0 0 5111808 5242880 5242880 0.08125 -0.025 0 0 0
+1703936 0 2 0 0 5242880 5242880 5242880 0.08125 0 0 0 0
+1703936 0 2 0 0 5373952 5242880 5242880 0.08125 0.025 0 0 0
+1703936 0 2 0 0 5505024 5242880 5242880 0.08125 0.05 0 0 0
+1703936 0 2 0 0 5636096 5242880 5242880 0.08125 0.075 0 0 0
+1703936 0 2 0 0 5767168 5242880 5242880 0.08125 0.1 0 0 0
+1703936 0 2 0 0 5898240 5242880 5242880 0.08125 0.125 0 0 0
+1703936 0 2 0 0 6029312 5242880 5242880 0.08125 0.15 0 0 0
+1703936 0 2 0 0 6160384 5242880 5242880 0.08125 0.175 0 0 0
+1703936 0 2 0 0 6291456 5242880 5242880 0.08125 0.2 0 0 0
+1703936 0 2 0 0 6422528 5242880 5242880 0.08125 0.225 0 0 0
+1703936 0 2 0 0 6553600 5242880 5242880 0.08125 0.25 0 0 0
+
+
+# iteration 1835008
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 1 0 0 2621440 5242880 5242880 0.0875 -0.5 0 0 0
+1835008 0 1 0 0 2883584 5242880 5242880 0.0875 -0.45 0 0 0
+1835008 0 1 0 0 3145728 5242880 5242880 0.0875 -0.4 0 0 0
+1835008 0 1 0 0 3407872 5242880 5242880 0.0875 -0.35 0 0 0
+1835008 0 1 0 0 3670016 5242880 5242880 0.0875 -0.3 0 0 0
+1835008 0 1 0 0 3932160 5242880 5242880 0.0875 -0.25 0 0 0
+1835008 0 1 0 0 4194304 5242880 5242880 0.0875 -0.2 0 0 0
+1835008 0 1 0 0 4456448 5242880 5242880 0.0875 -0.15 0 0 0
+1835008 0 1 0 0 4718592 5242880 5242880 0.0875 -0.1 0 0 0
+1835008 0 1 0 0 4980736 5242880 5242880 0.0875 -0.05 0 0 0
+1835008 0 1 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+1835008 0 1 0 0 5505024 5242880 5242880 0.0875 0.05 0 0 0
+1835008 0 1 0 0 5767168 5242880 5242880 0.0875 0.1 0 0 0
+1835008 0 1 0 0 6029312 5242880 5242880 0.0875 0.15 0 0 0
+1835008 0 1 0 0 6291456 5242880 5242880 0.0875 0.2 0 0 0
+1835008 0 1 0 0 6553600 5242880 5242880 0.0875 0.25 0 0 0
+1835008 0 1 0 0 6815744 5242880 5242880 0.0875 0.3 0 0 0
+1835008 0 1 0 0 7077888 5242880 5242880 0.0875 0.35 0 0 0
+1835008 0 1 0 0 7340032 5242880 5242880 0.0875 0.4 0 0 0
+1835008 0 1 0 0 7602176 5242880 5242880 0.0875 0.45 0 0 0
+1835008 0 1 0 0 7864320 5242880 5242880 0.0875 0.5 0 0 0
+
+
+# iteration 1835008
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 2 0 0 3932160 5242880 5242880 0.0875 -0.25 0 0 0
+1835008 0 2 0 0 4063232 5242880 5242880 0.0875 -0.225 0 0 0
+1835008 0 2 0 0 4194304 5242880 5242880 0.0875 -0.2 0 0 0
+1835008 0 2 0 0 4325376 5242880 5242880 0.0875 -0.175 0 0 0
+1835008 0 2 0 0 4456448 5242880 5242880 0.0875 -0.15 0 0 0
+1835008 0 2 0 0 4587520 5242880 5242880 0.0875 -0.125 0 0 0
+1835008 0 2 0 0 4718592 5242880 5242880 0.0875 -0.1 0 0 0
+1835008 0 2 0 0 4849664 5242880 5242880 0.0875 -0.075 0 0 0
+1835008 0 2 0 0 4980736 5242880 5242880 0.0875 -0.05 0 0 0
+1835008 0 2 0 0 5111808 5242880 5242880 0.0875 -0.025 0 0 0
+1835008 0 2 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+1835008 0 2 0 0 5373952 5242880 5242880 0.0875 0.025 0 0 0
+1835008 0 2 0 0 5505024 5242880 5242880 0.0875 0.05 0 0 0
+1835008 0 2 0 0 5636096 5242880 5242880 0.0875 0.075 0 0 0
+1835008 0 2 0 0 5767168 5242880 5242880 0.0875 0.1 0 0 0
+1835008 0 2 0 0 5898240 5242880 5242880 0.0875 0.125 0 0 0
+1835008 0 2 0 0 6029312 5242880 5242880 0.0875 0.15 0 0 0
+1835008 0 2 0 0 6160384 5242880 5242880 0.0875 0.175 0 0 0
+1835008 0 2 0 0 6291456 5242880 5242880 0.0875 0.2 0 0 0
+1835008 0 2 0 0 6422528 5242880 5242880 0.0875 0.225 0 0 0
+1835008 0 2 0 0 6553600 5242880 5242880 0.0875 0.25 0 0 0
+
+
+# iteration 1966080
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 2 0 0 3932160 5242880 5242880 0.09375 -0.25 0 0 0
+1966080 0 2 0 0 4063232 5242880 5242880 0.09375 -0.225 0 0 0
+1966080 0 2 0 0 4194304 5242880 5242880 0.09375 -0.2 0 0 0
+1966080 0 2 0 0 4325376 5242880 5242880 0.09375 -0.175 0 0 0
+1966080 0 2 0 0 4456448 5242880 5242880 0.09375 -0.15 0 0 0
+1966080 0 2 0 0 4587520 5242880 5242880 0.09375 -0.125 0 0 0
+1966080 0 2 0 0 4718592 5242880 5242880 0.09375 -0.1 0 0 0
+1966080 0 2 0 0 4849664 5242880 5242880 0.09375 -0.075 0 0 0
+1966080 0 2 0 0 4980736 5242880 5242880 0.09375 -0.05 0 0 0
+1966080 0 2 0 0 5111808 5242880 5242880 0.09375 -0.025 0 0 0
+1966080 0 2 0 0 5242880 5242880 5242880 0.09375 0 0 0 0
+1966080 0 2 0 0 5373952 5242880 5242880 0.09375 0.025 0 0 0
+1966080 0 2 0 0 5505024 5242880 5242880 0.09375 0.05 0 0 0
+1966080 0 2 0 0 5636096 5242880 5242880 0.09375 0.075 0 0 0
+1966080 0 2 0 0 5767168 5242880 5242880 0.09375 0.1 0 0 0
+1966080 0 2 0 0 5898240 5242880 5242880 0.09375 0.125 0 0 0
+1966080 0 2 0 0 6029312 5242880 5242880 0.09375 0.15 0 0 0
+1966080 0 2 0 0 6160384 5242880 5242880 0.09375 0.175 0 0 0
+1966080 0 2 0 0 6291456 5242880 5242880 0.09375 0.2 0 0 0
+1966080 0 2 0 0 6422528 5242880 5242880 0.09375 0.225 0 0 0
+1966080 0 2 0 0 6553600 5242880 5242880 0.09375 0.25 0 0 0
+
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 0 5242880 5242880 0.1 -1 0 0 0
+2097152 0 0 0 0 524288 5242880 5242880 0.1 -0.9 0 0 0
+2097152 0 0 0 0 1048576 5242880 5242880 0.1 -0.8 0 0 0
+2097152 0 0 0 0 1572864 5242880 5242880 0.1 -0.7 0 0 0
+2097152 0 0 0 0 2097152 5242880 5242880 0.1 -0.6 0 0 0
+2097152 0 0 0 0 2621440 5242880 5242880 0.1 -0.5 0 0 0
+2097152 0 0 0 0 3145728 5242880 5242880 0.1 -0.4 0 0 0
+2097152 0 0 0 0 3670016 5242880 5242880 0.1 -0.3 0 0 0
+2097152 0 0 0 0 4194304 5242880 5242880 0.1 -0.2 0 0 0
+2097152 0 0 0 0 4718592 5242880 5242880 0.1 -0.1 0 0 0
+2097152 0 0 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 0 0 0 5767168 5242880 5242880 0.1 0.1 0 0 0
+2097152 0 0 0 0 6291456 5242880 5242880 0.1 0.2 0 0 0
+2097152 0 0 0 0 6815744 5242880 5242880 0.1 0.3 0 0 0
+2097152 0 0 0 0 7340032 5242880 5242880 0.1 0.4 0 0 0
+2097152 0 0 0 0 7864320 5242880 5242880 0.1 0.5 0 0 0
+2097152 0 0 0 0 8388608 5242880 5242880 0.1 0.6 0 0 0
+2097152 0 0 0 0 8912896 5242880 5242880 0.1 0.7 0 0 0
+2097152 0 0 0 0 9437184 5242880 5242880 0.1 0.8 0 0 0
+2097152 0 0 0 0 9961472 5242880 5242880 0.1 0.9 0 0 0
+2097152 0 0 0 0 10485760 5242880 5242880 0.1 1 0 0 0
+
+
+# iteration 2097152
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 1 0 0 2621440 5242880 5242880 0.1 -0.5 0 0 0
+2097152 0 1 0 0 2883584 5242880 5242880 0.1 -0.45 0 0 0
+2097152 0 1 0 0 3145728 5242880 5242880 0.1 -0.4 0 0 0
+2097152 0 1 0 0 3407872 5242880 5242880 0.1 -0.35 0 0 0
+2097152 0 1 0 0 3670016 5242880 5242880 0.1 -0.3 0 0 0
+2097152 0 1 0 0 3932160 5242880 5242880 0.1 -0.25 0 0 0
+2097152 0 1 0 0 4194304 5242880 5242880 0.1 -0.2 0 0 0
+2097152 0 1 0 0 4456448 5242880 5242880 0.1 -0.15 0 0 0
+2097152 0 1 0 0 4718592 5242880 5242880 0.1 -0.1 0 0 0
+2097152 0 1 0 0 4980736 5242880 5242880 0.1 -0.05 0 0 0
+2097152 0 1 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 1 0 0 5505024 5242880 5242880 0.1 0.05 0 0 0
+2097152 0 1 0 0 5767168 5242880 5242880 0.1 0.1 0 0 0
+2097152 0 1 0 0 6029312 5242880 5242880 0.1 0.15 0 0 0
+2097152 0 1 0 0 6291456 5242880 5242880 0.1 0.2 0 0 0
+2097152 0 1 0 0 6553600 5242880 5242880 0.1 0.25 0 0 0
+2097152 0 1 0 0 6815744 5242880 5242880 0.1 0.3 0 0 0
+2097152 0 1 0 0 7077888 5242880 5242880 0.1 0.35 0 0 0
+2097152 0 1 0 0 7340032 5242880 5242880 0.1 0.4 0 0 0
+2097152 0 1 0 0 7602176 5242880 5242880 0.1 0.45 0 0 0
+2097152 0 1 0 0 7864320 5242880 5242880 0.1 0.5 0 0 0
+
+
+# iteration 2097152
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 2 0 0 3932160 5242880 5242880 0.1 -0.25 0 0 0
+2097152 0 2 0 0 4063232 5242880 5242880 0.1 -0.225 0 0 0
+2097152 0 2 0 0 4194304 5242880 5242880 0.1 -0.2 0 0 0
+2097152 0 2 0 0 4325376 5242880 5242880 0.1 -0.175 0 0 0
+2097152 0 2 0 0 4456448 5242880 5242880 0.1 -0.15 0 0 0
+2097152 0 2 0 0 4587520 5242880 5242880 0.1 -0.125 0 0 0
+2097152 0 2 0 0 4718592 5242880 5242880 0.1 -0.1 0 0 0
+2097152 0 2 0 0 4849664 5242880 5242880 0.1 -0.075 0 0 0
+2097152 0 2 0 0 4980736 5242880 5242880 0.1 -0.05 0 0 0
+2097152 0 2 0 0 5111808 5242880 5242880 0.1 -0.025 0 0 0
+2097152 0 2 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 2 0 0 5373952 5242880 5242880 0.1 0.025 0 0 0
+2097152 0 2 0 0 5505024 5242880 5242880 0.1 0.05 0 0 0
+2097152 0 2 0 0 5636096 5242880 5242880 0.1 0.075 0 0 0
+2097152 0 2 0 0 5767168 5242880 5242880 0.1 0.1 0 0 0
+2097152 0 2 0 0 5898240 5242880 5242880 0.1 0.125 0 0 0
+2097152 0 2 0 0 6029312 5242880 5242880 0.1 0.15 0 0 0
+2097152 0 2 0 0 6160384 5242880 5242880 0.1 0.175 0 0 0
+2097152 0 2 0 0 6291456 5242880 5242880 0.1 0.2 0 0 0
+2097152 0 2 0 0 6422528 5242880 5242880 0.1 0.225 0 0 0
+2097152 0 2 0 0 6553600 5242880 5242880 0.1 0.25 0 0 0
+
+
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiy.y.asc b/Carpet/CarpetInterp/test/waveinterp/phiy.y.asc
new file mode 100644
index 000000000..a43d3a4c4
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiy.y.asc
@@ -0,0 +1,808 @@
+# WAVEMOL::phiy y (phiy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 5242880 0 5242880 0 0 -1 0 0
+0 0 0 0 0 5242880 524288 5242880 0 0 -0.9 0 0
+0 0 0 0 0 5242880 1048576 5242880 0 0 -0.8 0 0
+0 0 0 0 0 5242880 1572864 5242880 0 0 -0.7 0 0
+0 0 0 0 0 5242880 2097152 5242880 0 0 -0.6 0 0
+0 0 0 0 0 5242880 2621440 5242880 0 0 -0.5 0 0
+0 0 0 0 0 5242880 3145728 5242880 0 0 -0.4 0 0
+0 0 0 0 0 5242880 3670016 5242880 0 0 -0.3 0 0
+0 0 0 0 0 5242880 4194304 5242880 0 0 -0.2 0 0
+0 0 0 0 0 5242880 4718592 5242880 0 0 -0.1 0 0
+0 0 0 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 0 0 0 5242880 5767168 5242880 0 0 0.1 0 0
+0 0 0 0 0 5242880 6291456 5242880 0 0 0.2 0 0
+0 0 0 0 0 5242880 6815744 5242880 0 0 0.3 0 0
+0 0 0 0 0 5242880 7340032 5242880 0 0 0.4 0 0
+0 0 0 0 0 5242880 7864320 5242880 0 0 0.5 0 0
+0 0 0 0 0 5242880 8388608 5242880 0 0 0.6 0 0
+0 0 0 0 0 5242880 8912896 5242880 0 0 0.7 0 0
+0 0 0 0 0 5242880 9437184 5242880 0 0 0.8 0 0
+0 0 0 0 0 5242880 9961472 5242880 0 0 0.9 0 0
+0 0 0 0 0 5242880 10485760 5242880 0 0 1 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 5242880 2621440 5242880 0 0 -0.5 0 0
+0 0 1 0 0 5242880 2883584 5242880 0 0 -0.45 0 0
+0 0 1 0 0 5242880 3145728 5242880 0 0 -0.4 0 0
+0 0 1 0 0 5242880 3407872 5242880 0 0 -0.35 0 0
+0 0 1 0 0 5242880 3670016 5242880 0 0 -0.3 0 0
+0 0 1 0 0 5242880 3932160 5242880 0 0 -0.25 0 0
+0 0 1 0 0 5242880 4194304 5242880 0 0 -0.2 0 0
+0 0 1 0 0 5242880 4456448 5242880 0 0 -0.15 0 0
+0 0 1 0 0 5242880 4718592 5242880 0 0 -0.1 0 0
+0 0 1 0 0 5242880 4980736 5242880 0 0 -0.05 0 0
+0 0 1 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 1 0 0 5242880 5505024 5242880 0 0 0.05 0 0
+0 0 1 0 0 5242880 5767168 5242880 0 0 0.1 0 0
+0 0 1 0 0 5242880 6029312 5242880 0 0 0.15 0 0
+0 0 1 0 0 5242880 6291456 5242880 0 0 0.2 0 0
+0 0 1 0 0 5242880 6553600 5242880 0 0 0.25 0 0
+0 0 1 0 0 5242880 6815744 5242880 0 0 0.3 0 0
+0 0 1 0 0 5242880 7077888 5242880 0 0 0.35 0 0
+0 0 1 0 0 5242880 7340032 5242880 0 0 0.4 0 0
+0 0 1 0 0 5242880 7602176 5242880 0 0 0.45 0 0
+0 0 1 0 0 5242880 7864320 5242880 0 0 0.5 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 5242880 3932160 5242880 0 0 -0.25 0 0
+0 0 2 0 0 5242880 4063232 5242880 0 0 -0.225 0 0
+0 0 2 0 0 5242880 4194304 5242880 0 0 -0.2 0 0
+0 0 2 0 0 5242880 4325376 5242880 0 0 -0.175 0 0
+0 0 2 0 0 5242880 4456448 5242880 0 0 -0.15 0 0
+0 0 2 0 0 5242880 4587520 5242880 0 0 -0.125 0 0
+0 0 2 0 0 5242880 4718592 5242880 0 0 -0.1 0 0
+0 0 2 0 0 5242880 4849664 5242880 0 0 -0.075 0 0
+0 0 2 0 0 5242880 4980736 5242880 0 0 -0.05 0 0
+0 0 2 0 0 5242880 5111808 5242880 0 0 -0.025 0 0
+0 0 2 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 2 0 0 5242880 5373952 5242880 0 0 0.025 0 0
+0 0 2 0 0 5242880 5505024 5242880 0 0 0.05 0 0
+0 0 2 0 0 5242880 5636096 5242880 0 0 0.075 0 0
+0 0 2 0 0 5242880 5767168 5242880 0 0 0.1 0 0
+0 0 2 0 0 5242880 5898240 5242880 0 0 0.125 0 0
+0 0 2 0 0 5242880 6029312 5242880 0 0 0.15 0 0
+0 0 2 0 0 5242880 6160384 5242880 0 0 0.175 0 0
+0 0 2 0 0 5242880 6291456 5242880 0 0 0.2 0 0
+0 0 2 0 0 5242880 6422528 5242880 0 0 0.225 0 0
+0 0 2 0 0 5242880 6553600 5242880 0 0 0.25 0 0
+
+
+# iteration 131072
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 2 0 0 5242880 3932160 5242880 0.00625 0 -0.25 0 8.51287040805251e-10
+131072 0 2 0 0 5242880 4063232 5242880 0.00625 0 -0.225 0 4.78848960452953e-10
+131072 0 2 0 0 5242880 4194304 5242880 0.00625 0 -0.2 0 0
+131072 0 2 0 0 5242880 4325376 5242880 0.00625 0 -0.175 0 2.43032142559095e-09
+131072 0 2 0 0 5242880 4456448 5242880 0.00625 0 -0.15 0 0
+131072 0 2 0 0 5242880 4587520 5242880 0.00625 0 -0.125 0 -2.23517417907715e-08
+131072 0 2 0 0 5242880 4718592 5242880 0.00625 0 -0.1 0 0
+131072 0 2 0 0 5242880 4849664 5242880 0.00625 0 -0.075 0 0
+131072 0 2 0 0 5242880 4980736 5242880 0.00625 0 -0.05 0 0
+131072 0 2 0 0 5242880 5111808 5242880 0.00625 0 -0.025 0 0
+131072 0 2 0 0 5242880 5242880 5242880 0.00625 0 0 0 0
+131072 0 2 0 0 5242880 5373952 5242880 0.00625 0 0.025 0 0
+131072 0 2 0 0 5242880 5505024 5242880 0.00625 0 0.05 0 0
+131072 0 2 0 0 5242880 5636096 5242880 0.00625 0 0.075 0 0
+131072 0 2 0 0 5242880 5767168 5242880 0.00625 0 0.1 0 0
+131072 0 2 0 0 5242880 5898240 5242880 0.00625 0 0.125 0 2.23517417907715e-08
+131072 0 2 0 0 5242880 6029312 5242880 0.00625 0 0.15 0 0
+131072 0 2 0 0 5242880 6160384 5242880 0.00625 0 0.175 0 -2.43032142559095e-09
+131072 0 2 0 0 5242880 6291456 5242880 0.00625 0 0.2 0 0
+131072 0 2 0 0 5242880 6422528 5242880 0.00625 0 0.225 0 -4.78848960452953e-10
+131072 0 2 0 0 5242880 6553600 5242880 0.00625 0 0.25 0 -8.51287040805251e-10
+
+
+# iteration 262144
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 1 0 0 5242880 2621440 5242880 0.0125 0 -0.5 0 0
+262144 0 1 0 0 5242880 2883584 5242880 0.0125 0 -0.45 0 0
+262144 0 1 0 0 5242880 3145728 5242880 0.0125 0 -0.4 0 0
+262144 0 1 0 0 5242880 3407872 5242880 0.0125 0 -0.35 0 1.94025536558925e-11
+262144 0 1 0 0 5242880 3670016 5242880 0.0125 0 -0.3 0 0
+262144 0 1 0 0 5242880 3932160 5242880 0.0125 0 -0.25 0 2.27009877548067e-09
+262144 0 1 0 0 5242880 4194304 5242880 0.0125 0 -0.2 0 0
+262144 0 1 0 0 5242880 4456448 5242880 0.0125 0 -0.15 0 0
+262144 0 1 0 0 5242880 4718592 5242880 0.0125 0 -0.1 0 3.88051095886096e-11
+262144 0 1 0 0 5242880 4980736 5242880 0.0125 0 -0.05 0 0
+262144 0 1 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+262144 0 1 0 0 5242880 5505024 5242880 0.0125 0 0.05 0 0
+262144 0 1 0 0 5242880 5767168 5242880 0.0125 0 0.1 0 -3.88051095886096e-11
+262144 0 1 0 0 5242880 6029312 5242880 0.0125 0 0.15 0 0
+262144 0 1 0 0 5242880 6291456 5242880 0.0125 0 0.2 0 0
+262144 0 1 0 0 5242880 6553600 5242880 0.0125 0 0.25 0 -2.27009877548067e-09
+262144 0 1 0 0 5242880 6815744 5242880 0.0125 0 0.3 0 0
+262144 0 1 0 0 5242880 7077888 5242880 0.0125 0 0.35 0 -1.94025536558925e-11
+262144 0 1 0 0 5242880 7340032 5242880 0.0125 0 0.4 0 0
+262144 0 1 0 0 5242880 7602176 5242880 0.0125 0 0.45 0 0
+262144 0 1 0 0 5242880 7864320 5242880 0.0125 0 0.5 0 0
+
+
+# iteration 262144
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 2 0 0 5242880 3932160 5242880 0.0125 0 -0.25 0 2.27009877548067e-09
+262144 0 2 0 0 5242880 4063232 5242880 0.0125 0 -0.225 0 1.27693056120788e-09
+262144 0 2 0 0 5242880 4194304 5242880 0.0125 0 -0.2 0 0
+262144 0 2 0 0 5242880 4325376 5242880 0.0125 0 -0.175 0 -1.4430649281683e-10
+262144 0 2 0 0 5242880 4456448 5242880 0.0125 0 -0.15 0 0
+262144 0 2 0 0 5242880 4587520 5242880 0.0125 0 -0.125 0 2.18278741435929e-11
+262144 0 2 0 0 5242880 4718592 5242880 0.0125 0 -0.1 0 3.88051095886096e-11
+262144 0 2 0 0 5242880 4849664 5242880 0.0125 0 -0.075 0 -1.74622982740402e-10
+262144 0 2 0 0 5242880 4980736 5242880 0.0125 0 -0.05 0 0
+262144 0 2 0 0 5242880 5111808 5242880 0.0125 0 -0.025 0 0
+262144 0 2 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+262144 0 2 0 0 5242880 5373952 5242880 0.0125 0 0.025 0 0
+262144 0 2 0 0 5242880 5505024 5242880 0.0125 0 0.05 0 0
+262144 0 2 0 0 5242880 5636096 5242880 0.0125 0 0.075 0 1.74622982740402e-10
+262144 0 2 0 0 5242880 5767168 5242880 0.0125 0 0.1 0 -3.88051095886096e-11
+262144 0 2 0 0 5242880 5898240 5242880 0.0125 0 0.125 0 -2.18278741435929e-11
+262144 0 2 0 0 5242880 6029312 5242880 0.0125 0 0.15 0 0
+262144 0 2 0 0 5242880 6160384 5242880 0.0125 0 0.175 0 1.4430649281683e-10
+262144 0 2 0 0 5242880 6291456 5242880 0.0125 0 0.2 0 0
+262144 0 2 0 0 5242880 6422528 5242880 0.0125 0 0.225 0 -1.27693056120788e-09
+262144 0 2 0 0 5242880 6553600 5242880 0.0125 0 0.25 0 -2.27009877548067e-09
+
+
+# iteration 393216
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 2 0 0 5242880 3932160 5242880 0.01875 0 -0.25 0 1.7025740816105e-09
+393216 0 2 0 0 5242880 4063232 5242880 0.01875 0 -0.225 0 9.59262773157592e-10
+393216 0 2 0 0 5242880 4194304 5242880 0.01875 0 -0.2 0 1.80060419699424e-11
+393216 0 2 0 0 5242880 4325376 5242880 0.01875 0 -0.175 0 -2.20306178830874e-11
+393216 0 2 0 0 5242880 4456448 5242880 0.01875 0 -0.15 0 1.37016741702522e-10
+393216 0 2 0 0 5242880 4587520 5242880 0.01875 0 -0.125 0 1.09369182438833e-10
+393216 0 2 0 0 5242880 4718592 5242880 0.01875 0 -0.1 0 -1.55569968944095e-10
+393216 0 2 0 0 5242880 4849664 5242880 0.01875 0 -0.075 0 -5.14533776696524e-10
+393216 0 2 0 0 5242880 4980736 5242880 0.01875 0 -0.05 0 -1.05031724058809e-14
+393216 0 2 0 0 5242880 5111808 5242880 0.01875 0 -0.025 0 -3.1663930736651e-12
+393216 0 2 0 0 5242880 5242880 5242880 0.01875 0 0 0 0
+393216 0 2 0 0 5242880 5373952 5242880 0.01875 0 0.025 0 3.1663930736651e-12
+393216 0 2 0 0 5242880 5505024 5242880 0.01875 0 0.05 0 1.05031724058809e-14
+393216 0 2 0 0 5242880 5636096 5242880 0.01875 0 0.075 0 5.14533776696524e-10
+393216 0 2 0 0 5242880 5767168 5242880 0.01875 0 0.1 0 1.55569968944095e-10
+393216 0 2 0 0 5242880 5898240 5242880 0.01875 0 0.125 0 -1.09369182438833e-10
+393216 0 2 0 0 5242880 6029312 5242880 0.01875 0 0.15 0 -1.37016741702522e-10
+393216 0 2 0 0 5242880 6160384 5242880 0.01875 0 0.175 0 2.20306178830874e-11
+393216 0 2 0 0 5242880 6291456 5242880 0.01875 0 0.2 0 -1.80060419699424e-11
+393216 0 2 0 0 5242880 6422528 5242880 0.01875 0 0.225 0 -9.59262773157592e-10
+393216 0 2 0 0 5242880 6553600 5242880 0.01875 0 0.25 0 -1.7025740816105e-09
+
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 5242880 0 5242880 0.025 0 -1 0 0
+524288 0 0 0 0 5242880 524288 5242880 0.025 0 -0.9 0 0
+524288 0 0 0 0 5242880 1048576 5242880 0.025 0 -0.8 0 0
+524288 0 0 0 0 5242880 1572864 5242880 0.025 0 -0.7 0 0
+524288 0 0 0 0 5242880 2097152 5242880 0.025 0 -0.6 0 0
+524288 0 0 0 0 5242880 2621440 5242880 0.025 0 -0.5 0 0
+524288 0 0 0 0 5242880 3145728 5242880 0.025 0 -0.4 0 0
+524288 0 0 0 0 5242880 3670016 5242880 0.025 0 -0.3 0 0
+524288 0 0 0 0 5242880 4194304 5242880 0.025 0 -0.2 0 4.80161119198463e-11
+524288 0 0 0 0 5242880 4718592 5242880 0.025 0 -0.1 0 -3.71976833594504e-10
+524288 0 0 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 0 0 0 5242880 5767168 5242880 0.025 0 0.1 0 3.71976833594504e-10
+524288 0 0 0 0 5242880 6291456 5242880 0.025 0 0.2 0 -4.80161119198463e-11
+524288 0 0 0 0 5242880 6815744 5242880 0.025 0 0.3 0 0
+524288 0 0 0 0 5242880 7340032 5242880 0.025 0 0.4 0 0
+524288 0 0 0 0 5242880 7864320 5242880 0.025 0 0.5 0 0
+524288 0 0 0 0 5242880 8388608 5242880 0.025 0 0.6 0 0
+524288 0 0 0 0 5242880 8912896 5242880 0.025 0 0.7 0 0
+524288 0 0 0 0 5242880 9437184 5242880 0.025 0 0.8 0 0
+524288 0 0 0 0 5242880 9961472 5242880 0.025 0 0.9 0 0
+524288 0 0 0 0 5242880 10485760 5242880 0.025 0 1 0 0
+
+
+# iteration 524288
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 1 0 0 5242880 2621440 5242880 0.025 0 -0.5 0 0
+524288 0 1 0 0 5242880 2883584 5242880 0.025 0 -0.45 0 0
+524288 0 1 0 0 5242880 3145728 5242880 0.025 0 -0.4 0 0
+524288 0 1 0 0 5242880 3407872 5242880 0.025 0 -0.35 0 -3.0010069949904e-12
+524288 0 1 0 0 5242880 3670016 5242880 0.025 0 -0.3 0 0
+524288 0 1 0 0 5242880 3932160 5242880 0.025 0 -0.25 0 5.02576150545701e-11
+524288 0 1 0 0 5242880 4194304 5242880 0.025 0 -0.2 0 4.80161119198463e-11
+524288 0 1 0 0 5242880 4456448 5242880 0.025 0 -0.15 0 3.65377977873393e-10
+524288 0 1 0 0 5242880 4718592 5242880 0.025 0 -0.1 0 -3.71976833594504e-10
+524288 0 1 0 0 5242880 4980736 5242880 0.025 0 -0.05 0 -2.64427137593633e-12
+524288 0 1 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 1 0 0 5242880 5505024 5242880 0.025 0 0.05 0 2.64427137593633e-12
+524288 0 1 0 0 5242880 5767168 5242880 0.025 0 0.1 0 3.71976833594504e-10
+524288 0 1 0 0 5242880 6029312 5242880 0.025 0 0.15 0 -3.65377977873393e-10
+524288 0 1 0 0 5242880 6291456 5242880 0.025 0 0.2 0 -4.80161119198463e-11
+524288 0 1 0 0 5242880 6553600 5242880 0.025 0 0.25 0 -5.02576150545701e-11
+524288 0 1 0 0 5242880 6815744 5242880 0.025 0 0.3 0 0
+524288 0 1 0 0 5242880 7077888 5242880 0.025 0 0.35 0 3.0010069949904e-12
+524288 0 1 0 0 5242880 7340032 5242880 0.025 0 0.4 0 0
+524288 0 1 0 0 5242880 7602176 5242880 0.025 0 0.45 0 0
+524288 0 1 0 0 5242880 7864320 5242880 0.025 0 0.5 0 0
+
+
+# iteration 524288
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 2 0 0 5242880 3932160 5242880 0.025 0 -0.25 0 5.02576150545701e-11
+524288 0 2 0 0 5242880 4063232 5242880 0.025 0 -0.225 0 3.24428478060221e-11
+524288 0 2 0 0 5242880 4194304 5242880 0.025 0 -0.2 0 4.80161119198463e-11
+524288 0 2 0 0 5242880 4325376 5242880 0.025 0 -0.175 0 2.52641626667443e-10
+524288 0 2 0 0 5242880 4456448 5242880 0.025 0 -0.15 0 3.65377977873393e-10
+524288 0 2 0 0 5242880 4587520 5242880 0.025 0 -0.125 0 -6.54759637711926e-12
+524288 0 2 0 0 5242880 4718592 5242880 0.025 0 -0.1 0 -3.71976833594504e-10
+524288 0 2 0 0 5242880 4849664 5242880 0.025 0 -0.075 0 -8.34775128651562e-10
+524288 0 2 0 0 5242880 4980736 5242880 0.025 0 -0.05 0 -2.64427137593633e-12
+524288 0 2 0 0 5242880 5111808 5242880 0.025 0 -0.025 0 -1.42062519155791e-11
+524288 0 2 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 2 0 0 5242880 5373952 5242880 0.025 0 0.025 0 1.42062519155791e-11
+524288 0 2 0 0 5242880 5505024 5242880 0.025 0 0.05 0 2.64427137593633e-12
+524288 0 2 0 0 5242880 5636096 5242880 0.025 0 0.075 0 8.34775128651562e-10
+524288 0 2 0 0 5242880 5767168 5242880 0.025 0 0.1 0 3.71976833594504e-10
+524288 0 2 0 0 5242880 5898240 5242880 0.025 0 0.125 0 6.54759637711926e-12
+524288 0 2 0 0 5242880 6029312 5242880 0.025 0 0.15 0 -3.65377977873393e-10
+524288 0 2 0 0 5242880 6160384 5242880 0.025 0 0.175 0 -2.52641626667443e-10
+524288 0 2 0 0 5242880 6291456 5242880 0.025 0 0.2 0 -4.80161119198463e-11
+524288 0 2 0 0 5242880 6422528 5242880 0.025 0 0.225 0 -3.24428478060221e-11
+524288 0 2 0 0 5242880 6553600 5242880 0.025 0 0.25 0 -5.02576150545701e-11
+
+
+# iteration 655360
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 2 0 0 5242880 3932160 5242880 0.03125 0 -0.25 0 -2.03283184165604e-10
+655360 0 2 0 0 5242880 4063232 5242880 0.03125 0 -0.225 0 -1.10218192534204e-10
+655360 0 2 0 0 5242880 4194304 5242880 0.03125 0 -0.2 0 6.71560801759896e-11
+655360 0 2 0 0 5242880 4325376 5242880 0.03125 0 -0.175 0 3.81864711955078e-10
+655360 0 2 0 0 5242880 4456448 5242880 0.03125 0 -0.15 0 5.43200962509205e-10
+655360 0 2 0 0 5242880 4587520 5242880 0.03125 0 -0.125 0 7.64770232818818e-11
+655360 0 2 0 0 5242880 4718592 5242880 0.03125 0 -0.1 0 -5.39370936802896e-10
+655360 0 2 0 0 5242880 4849664 5242880 0.03125 0 -0.075 0 -1.12595637443332e-09
+655360 0 2 0 0 5242880 4980736 5242880 0.03125 0 -0.05 0 -1.12561372260049e-11
+655360 0 2 0 0 5242880 5111808 5242880 0.03125 0 -0.025 0 -3.75721814771524e-11
+655360 0 2 0 0 5242880 5242880 5242880 0.03125 0 0 0 0
+655360 0 2 0 0 5242880 5373952 5242880 0.03125 0 0.025 0 3.75721814771524e-11
+655360 0 2 0 0 5242880 5505024 5242880 0.03125 0 0.05 0 1.12561372260049e-11
+655360 0 2 0 0 5242880 5636096 5242880 0.03125 0 0.075 0 1.12595637443332e-09
+655360 0 2 0 0 5242880 5767168 5242880 0.03125 0 0.1 0 5.39370936802896e-10
+655360 0 2 0 0 5242880 5898240 5242880 0.03125 0 0.125 0 -7.64770232818818e-11
+655360 0 2 0 0 5242880 6029312 5242880 0.03125 0 0.15 0 -5.43200962509205e-10
+655360 0 2 0 0 5242880 6160384 5242880 0.03125 0 0.175 0 -3.81864711955078e-10
+655360 0 2 0 0 5242880 6291456 5242880 0.03125 0 0.2 0 -6.71560801759896e-11
+655360 0 2 0 0 5242880 6422528 5242880 0.03125 0 0.225 0 1.10218192534204e-10
+655360 0 2 0 0 5242880 6553600 5242880 0.03125 0 0.25 0 2.03283184165604e-10
+
+
+# iteration 786432
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 1 0 0 5242880 2621440 5242880 0.0375 0 -0.5 0 -3.17246229286638e-14
+786432 0 1 0 0 5242880 2883584 5242880 0.0375 0 -0.45 0 1.04805866676244e-12
+786432 0 1 0 0 5242880 3145728 5242880 0.0375 0 -0.4 0 4.56771773182929e-13
+786432 0 1 0 0 5242880 3407872 5242880 0.0375 0 -0.35 0 -1.77414430260585e-11
+786432 0 1 0 0 5242880 3670016 5242880 0.0375 0 -0.3 0 -1.29435143159107e-11
+786432 0 1 0 0 5242880 3932160 5242880 0.0375 0 -0.25 0 1.14095870609471e-10
+786432 0 1 0 0 5242880 4194304 5242880 0.0375 0 -0.2 0 8.3050656629613e-11
+786432 0 1 0 0 5242880 4456448 5242880 0.0375 0 -0.15 0 7.1777994427776e-10
+786432 0 1 0 0 5242880 4718592 5242880 0.0375 0 -0.1 0 -6.90806513844085e-10
+786432 0 1 0 0 5242880 4980736 5242880 0.0375 0 -0.05 0 -2.86001292093552e-11
+786432 0 1 0 0 5242880 5242880 5242880 0.0375 0 0 0 0
+786432 0 1 0 0 5242880 5505024 5242880 0.0375 0 0.05 0 2.86001292093552e-11
+786432 0 1 0 0 5242880 5767168 5242880 0.0375 0 0.1 0 6.90806513844085e-10
+786432 0 1 0 0 5242880 6029312 5242880 0.0375 0 0.15 0 -7.1777994427776e-10
+786432 0 1 0 0 5242880 6291456 5242880 0.0375 0 0.2 0 -8.3050656629613e-11
+786432 0 1 0 0 5242880 6553600 5242880 0.0375 0 0.25 0 -1.14095870609471e-10
+786432 0 1 0 0 5242880 6815744 5242880 0.0375 0 0.3 0 1.29435143159107e-11
+786432 0 1 0 0 5242880 7077888 5242880 0.0375 0 0.35 0 1.77414430260585e-11
+786432 0 1 0 0 5242880 7340032 5242880 0.0375 0 0.4 0 -4.56771773182929e-13
+786432 0 1 0 0 5242880 7602176 5242880 0.0375 0 0.45 0 -1.04805866676244e-12
+786432 0 1 0 0 5242880 7864320 5242880 0.0375 0 0.5 0 3.17246229286638e-14
+
+
+# iteration 786432
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 2 0 0 5242880 3932160 5242880 0.0375 0 -0.25 0 1.14095870609471e-10
+786432 0 2 0 0 5242880 4063232 5242880 0.0375 0 -0.225 0 6.68426446993694e-11
+786432 0 2 0 0 5242880 4194304 5242880 0.0375 0 -0.2 0 8.3050656629613e-11
+786432 0 2 0 0 5242880 4325376 5242880 0.0375 0 -0.175 0 4.8651162821256e-10
+786432 0 2 0 0 5242880 4456448 5242880 0.0375 0 -0.15 0 7.1777994427776e-10
+786432 0 2 0 0 5242880 4587520 5242880 0.0375 0 -0.125 0 1.17693966551757e-11
+786432 0 2 0 0 5242880 4718592 5242880 0.0375 0 -0.1 0 -6.90806513844085e-10
+786432 0 2 0 0 5242880 4849664 5242880 0.0375 0 -0.075 0 -1.37983248438278e-09
+786432 0 2 0 0 5242880 4980736 5242880 0.0375 0 -0.05 0 -2.86001292093552e-11
+786432 0 2 0 0 5242880 5111808 5242880 0.0375 0 -0.025 0 -7.6696357598216e-11
+786432 0 2 0 0 5242880 5242880 5242880 0.0375 0 0 0 0
+786432 0 2 0 0 5242880 5373952 5242880 0.0375 0 0.025 0 7.6696357598216e-11
+786432 0 2 0 0 5242880 5505024 5242880 0.0375 0 0.05 0 2.86001292093552e-11
+786432 0 2 0 0 5242880 5636096 5242880 0.0375 0 0.075 0 1.37983248438278e-09
+786432 0 2 0 0 5242880 5767168 5242880 0.0375 0 0.1 0 6.90806513844085e-10
+786432 0 2 0 0 5242880 5898240 5242880 0.0375 0 0.125 0 -1.17693966551757e-11
+786432 0 2 0 0 5242880 6029312 5242880 0.0375 0 0.15 0 -7.1777994427776e-10
+786432 0 2 0 0 5242880 6160384 5242880 0.0375 0 0.175 0 -4.8651162821256e-10
+786432 0 2 0 0 5242880 6291456 5242880 0.0375 0 0.2 0 -8.3050656629613e-11
+786432 0 2 0 0 5242880 6422528 5242880 0.0375 0 0.225 0 -6.68426446993694e-11
+786432 0 2 0 0 5242880 6553600 5242880 0.0375 0 0.25 0 -1.14095870609471e-10
+
+
+# iteration 917504
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 2 0 0 5242880 3932160 5242880 0.04375 0 -0.25 0 1.55692360393826e-10
+917504 0 2 0 0 5242880 4063232 5242880 0.04375 0 -0.225 0 8.98292153340505e-11
+917504 0 2 0 0 5242880 4194304 5242880 0.04375 0 -0.2 0 9.87482959985408e-11
+917504 0 2 0 0 5242880 4325376 5242880 0.04375 0 -0.175 0 5.82061050143167e-10
+917504 0 2 0 0 5242880 4456448 5242880 0.04375 0 -0.15 0 8.7534961223934e-10
+917504 0 2 0 0 5242880 4587520 5242880 0.04375 0 -0.125 0 9.97820270600842e-11
+917504 0 2 0 0 5242880 4718592 5242880 0.04375 0 -0.1 0 -7.99350738378557e-10
+917504 0 2 0 0 5242880 4849664 5242880 0.04375 0 -0.075 0 -1.58914841471199e-09
+917504 0 2 0 0 5242880 4980736 5242880 0.04375 0 -0.05 0 -5.6796509625053e-11
+917504 0 2 0 0 5242880 5111808 5242880 0.04375 0 -0.025 0 -1.33697386495157e-10
+917504 0 2 0 0 5242880 5242880 5242880 0.04375 0 0 0 0
+917504 0 2 0 0 5242880 5373952 5242880 0.04375 0 0.025 0 1.33697386495157e-10
+917504 0 2 0 0 5242880 5505024 5242880 0.04375 0 0.05 0 5.6796509625053e-11
+917504 0 2 0 0 5242880 5636096 5242880 0.04375 0 0.075 0 1.58914841471199e-09
+917504 0 2 0 0 5242880 5767168 5242880 0.04375 0 0.1 0 7.99350738378557e-10
+917504 0 2 0 0 5242880 5898240 5242880 0.04375 0 0.125 0 -9.97820270600842e-11
+917504 0 2 0 0 5242880 6029312 5242880 0.04375 0 0.15 0 -8.7534961223934e-10
+917504 0 2 0 0 5242880 6160384 5242880 0.04375 0 0.175 0 -5.82061050143167e-10
+917504 0 2 0 0 5242880 6291456 5242880 0.04375 0 0.2 0 -9.87482959985408e-11
+917504 0 2 0 0 5242880 6422528 5242880 0.04375 0 0.225 0 -8.98292153340505e-11
+917504 0 2 0 0 5242880 6553600 5242880 0.04375 0 0.25 0 -1.55692360393826e-10
+
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 5242880 0 5242880 0.05 0 -1 0 0
+1048576 0 0 0 0 5242880 524288 5242880 0.05 0 -0.9 0 0
+1048576 0 0 0 0 5242880 1048576 5242880 0.05 0 -0.8 0 0
+1048576 0 0 0 0 5242880 1572864 5242880 0.05 0 -0.7 0 0
+1048576 0 0 0 0 5242880 2097152 5242880 0.05 0 -0.6 0 0
+1048576 0 0 0 0 5242880 2621440 5242880 0.05 0 -0.5 0 -8.45989944764369e-14
+1048576 0 0 0 0 5242880 3145728 5242880 0.05 0 -0.4 0 1.21805806182114e-12
+1048576 0 0 0 0 5242880 3670016 5242880 0.05 0 -0.3 0 -3.45160381757618e-11
+1048576 0 0 0 0 5242880 4194304 5242880 0.05 0 -0.2 0 1.13232846710165e-10
+1048576 0 0 0 0 5242880 4718592 5242880 0.05 0 -0.1 0 -8.77529424125889e-10
+1048576 0 0 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 0 0 0 5242880 5767168 5242880 0.05 0 0.1 0 8.77529424125889e-10
+1048576 0 0 0 0 5242880 6291456 5242880 0.05 0 0.2 0 -1.13232846710165e-10
+1048576 0 0 0 0 5242880 6815744 5242880 0.05 0 0.3 0 3.45160381757618e-11
+1048576 0 0 0 0 5242880 7340032 5242880 0.05 0 0.4 0 -1.21805806182114e-12
+1048576 0 0 0 0 5242880 7864320 5242880 0.05 0 0.5 0 8.45989944764369e-14
+1048576 0 0 0 0 5242880 8388608 5242880 0.05 0 0.6 0 0
+1048576 0 0 0 0 5242880 8912896 5242880 0.05 0 0.7 0 0
+1048576 0 0 0 0 5242880 9437184 5242880 0.05 0 0.8 0 0
+1048576 0 0 0 0 5242880 9961472 5242880 0.05 0 0.9 0 0
+1048576 0 0 0 0 5242880 10485760 5242880 0.05 0 1 0 0
+
+
+# iteration 1048576
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 1 0 0 5242880 2621440 5242880 0.05 0 -0.5 0 -8.45989944764369e-14
+1048576 0 1 0 0 5242880 2883584 5242880 0.05 0 -0.45 0 2.79482311136651e-12
+1048576 0 1 0 0 5242880 3145728 5242880 0.05 0 -0.4 0 1.21805806182114e-12
+1048576 0 1 0 0 5242880 3407872 5242880 0.05 0 -0.35 0 -2.58018792963222e-11
+1048576 0 1 0 0 5242880 3670016 5242880 0.05 0 -0.3 0 -3.45160381757618e-11
+1048576 0 1 0 0 5242880 3932160 5242880 0.05 0 -0.25 0 9.90476651796061e-11
+1048576 0 1 0 0 5242880 4194304 5242880 0.05 0 -0.2 0 1.13232846710165e-10
+1048576 0 1 0 0 5242880 4456448 5242880 0.05 0 -0.15 0 1.02049840337385e-09
+1048576 0 1 0 0 5242880 4718592 5242880 0.05 0 -0.1 0 -8.77529424125889e-10
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+1048576 0 1 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 1 0 0 5242880 5505024 5242880 0.05 0 0.05 0 9.69948542780171e-11
+1048576 0 1 0 0 5242880 5767168 5242880 0.05 0 0.1 0 8.77529424125889e-10
+1048576 0 1 0 0 5242880 6029312 5242880 0.05 0 0.15 0 -1.02049840337385e-09
+1048576 0 1 0 0 5242880 6291456 5242880 0.05 0 0.2 0 -1.13232846710165e-10
+1048576 0 1 0 0 5242880 6553600 5242880 0.05 0 0.25 0 -9.90476651796061e-11
+1048576 0 1 0 0 5242880 6815744 5242880 0.05 0 0.3 0 3.45160381757618e-11
+1048576 0 1 0 0 5242880 7077888 5242880 0.05 0 0.35 0 2.58018792963222e-11
+1048576 0 1 0 0 5242880 7340032 5242880 0.05 0 0.4 0 -1.21805806182114e-12
+1048576 0 1 0 0 5242880 7602176 5242880 0.05 0 0.45 0 -2.79482311136651e-12
+1048576 0 1 0 0 5242880 7864320 5242880 0.05 0 0.5 0 8.45989944764369e-14
+
+
+# iteration 1048576
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 2 0 0 5242880 3932160 5242880 0.05 0 -0.25 0 9.90476651796061e-11
+1048576 0 2 0 0 5242880 4063232 5242880 0.05 0 -0.225 0 5.77838901131156e-11
+1048576 0 2 0 0 5242880 4194304 5242880 0.05 0 -0.2 0 1.13232846710165e-10
+1048576 0 2 0 0 5242880 4325376 5242880 0.05 0 -0.175 0 6.86378938106402e-10
+1048576 0 2 0 0 5242880 4456448 5242880 0.05 0 -0.15 0 1.02049840337385e-09
+1048576 0 2 0 0 5242880 4587520 5242880 0.05 0 -0.125 0 7.940517629997e-11
+1048576 0 2 0 0 5242880 4718592 5242880 0.05 0 -0.1 0 -8.77529424125889e-10
+1048576 0 2 0 0 5242880 4849664 5242880 0.05 0 -0.075 0 -1.74812777216834e-09
+1048576 0 2 0 0 5242880 4980736 5242880 0.05 0 -0.05 0 -9.69948542780171e-11
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+1048576 0 2 0 0 5242880 5242880 5242880 0.05 0 0 0 0
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+1048576 0 2 0 0 5242880 5505024 5242880 0.05 0 0.05 0 9.69948542780171e-11
+1048576 0 2 0 0 5242880 5636096 5242880 0.05 0 0.075 0 1.74812777216834e-09
+1048576 0 2 0 0 5242880 5767168 5242880 0.05 0 0.1 0 8.77529424125889e-10
+1048576 0 2 0 0 5242880 5898240 5242880 0.05 0 0.125 0 -7.940517629997e-11
+1048576 0 2 0 0 5242880 6029312 5242880 0.05 0 0.15 0 -1.02049840337385e-09
+1048576 0 2 0 0 5242880 6160384 5242880 0.05 0 0.175 0 -6.86378938106402e-10
+1048576 0 2 0 0 5242880 6291456 5242880 0.05 0 0.2 0 -1.13232846710165e-10
+1048576 0 2 0 0 5242880 6422528 5242880 0.05 0 0.225 0 -5.77838901131156e-11
+1048576 0 2 0 0 5242880 6553600 5242880 0.05 0 0.25 0 -9.90476651796061e-11
+
+
+# iteration 1179648
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 2 0 0 5242880 3932160 5242880 0.05625 0 -0.25 0 1.16100548303662e-10
+1179648 0 2 0 0 5242880 4063232 5242880 0.05625 0 -0.225 0 6.10234773446789e-11
+1179648 0 2 0 0 5242880 4194304 5242880 0.05625 0 -0.2 0 1.15569069071564e-10
+1179648 0 2 0 0 5242880 4325376 5242880 0.05625 0 -0.175 0 7.57218084160716e-10
+1179648 0 2 0 0 5242880 4456448 5242880 0.05625 0 -0.15 0 1.14978515973243e-09
+1179648 0 2 0 0 5242880 4587520 5242880 0.05625 0 -0.125 0 1.76389248042821e-10
+1179648 0 2 0 0 5242880 4718592 5242880 0.05625 0 -0.1 0 -9.02082302374948e-10
+1179648 0 2 0 0 5242880 4849664 5242880 0.05625 0 -0.075 0 -1.85227602700344e-09
+1179648 0 2 0 0 5242880 4980736 5242880 0.05625 0 -0.05 0 -1.4924199145024e-10
+1179648 0 2 0 0 5242880 5111808 5242880 0.05625 0 -0.025 0 -3.02089459928527e-10
+1179648 0 2 0 0 5242880 5242880 5242880 0.05625 0 0 0 0
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+1179648 0 2 0 0 5242880 5505024 5242880 0.05625 0 0.05 0 1.4924199145024e-10
+1179648 0 2 0 0 5242880 5636096 5242880 0.05625 0 0.075 0 1.85227602700344e-09
+1179648 0 2 0 0 5242880 5767168 5242880 0.05625 0 0.1 0 9.02082302374948e-10
+1179648 0 2 0 0 5242880 5898240 5242880 0.05625 0 0.125 0 -1.76389248042821e-10
+1179648 0 2 0 0 5242880 6029312 5242880 0.05625 0 0.15 0 -1.14978515973243e-09
+1179648 0 2 0 0 5242880 6160384 5242880 0.05625 0 0.175 0 -7.57218084160716e-10
+1179648 0 2 0 0 5242880 6291456 5242880 0.05625 0 0.2 0 -1.15569069071564e-10
+1179648 0 2 0 0 5242880 6422528 5242880 0.05625 0 0.225 0 -6.10234773446789e-11
+1179648 0 2 0 0 5242880 6553600 5242880 0.05625 0 0.25 0 -1.16100548303662e-10
+
+
+# iteration 1310720
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 1 0 0 5242880 2621440 5242880 0.0625 0 -0.5 0 -3.04437898501764e-13
+1310720 0 1 0 0 5242880 2883584 5242880 0.0625 0 -0.45 0 4.38967709837784e-12
+1310720 0 1 0 0 5242880 3145728 5242880 0.0625 0 -0.4 0 3.11205401726244e-12
+1310720 0 1 0 0 5242880 3407872 5242880 0.0625 0 -0.35 0 -3.66809800849549e-11
+1310720 0 1 0 0 5242880 3670016 5242880 0.0625 0 -0.3 0 -4.49737374078052e-11
+1310720 0 1 0 0 5242880 3932160 5242880 0.0625 0 -0.25 0 1.49538088653709e-10
+1310720 0 1 0 0 5242880 4194304 5242880 0.0625 0 -0.2 0 1.09402042980378e-10
+1310720 0 1 0 0 5242880 4456448 5242880 0.0625 0 -0.15 0 1.26435693396469e-09
+1310720 0 1 0 0 5242880 4718592 5242880 0.0625 0 -0.1 0 -8.82571386343993e-10
+1310720 0 1 0 0 5242880 4980736 5242880 0.0625 0 -0.05 0 -2.12154000385952e-10
+1310720 0 1 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
+1310720 0 1 0 0 5242880 5505024 5242880 0.0625 0 0.05 0 2.12154000385952e-10
+1310720 0 1 0 0 5242880 5767168 5242880 0.0625 0 0.1 0 8.82571386343993e-10
+1310720 0 1 0 0 5242880 6029312 5242880 0.0625 0 0.15 0 -1.26435693396469e-09
+1310720 0 1 0 0 5242880 6291456 5242880 0.0625 0 0.2 0 -1.09402042980378e-10
+1310720 0 1 0 0 5242880 6553600 5242880 0.0625 0 0.25 0 -1.49538088653709e-10
+1310720 0 1 0 0 5242880 6815744 5242880 0.0625 0 0.3 0 4.49737374078052e-11
+1310720 0 1 0 0 5242880 7077888 5242880 0.0625 0 0.35 0 3.66809800849549e-11
+1310720 0 1 0 0 5242880 7340032 5242880 0.0625 0 0.4 0 -3.11205401726244e-12
+1310720 0 1 0 0 5242880 7602176 5242880 0.0625 0 0.45 0 -4.38967709837784e-12
+1310720 0 1 0 0 5242880 7864320 5242880 0.0625 0 0.5 0 3.04437898501764e-13
+
+
+# iteration 1310720
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 2 0 0 5242880 3932160 5242880 0.0625 0 -0.25 0 1.49538088653709e-10
+1310720 0 2 0 0 5242880 4063232 5242880 0.0625 0 -0.225 0 6.94423742593689e-11
+1310720 0 2 0 0 5242880 4194304 5242880 0.0625 0 -0.2 0 1.09402042980378e-10
+1310720 0 2 0 0 5242880 4325376 5242880 0.0625 0 -0.175 0 8.18554005637242e-10
+1310720 0 2 0 0 5242880 4456448 5242880 0.0625 0 -0.15 0 1.26435693396469e-09
+1310720 0 2 0 0 5242880 4587520 5242880 0.0625 0 -0.125 0 2.21176367874489e-10
+1310720 0 2 0 0 5242880 4718592 5242880 0.0625 0 -0.1 0 -8.82571386343993e-10
+1310720 0 2 0 0 5242880 4849664 5242880 0.0625 0 -0.075 0 -1.89863267700356e-09
+1310720 0 2 0 0 5242880 4980736 5242880 0.0625 0 -0.05 0 -2.12154000385952e-10
+1310720 0 2 0 0 5242880 5111808 5242880 0.0625 0 -0.025 0 -4.09720003295237e-10
+1310720 0 2 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
+1310720 0 2 0 0 5242880 5373952 5242880 0.0625 0 0.025 0 4.09720003295237e-10
+1310720 0 2 0 0 5242880 5505024 5242880 0.0625 0 0.05 0 2.12154000385952e-10
+1310720 0 2 0 0 5242880 5636096 5242880 0.0625 0 0.075 0 1.89863267700356e-09
+1310720 0 2 0 0 5242880 5767168 5242880 0.0625 0 0.1 0 8.82571386343993e-10
+1310720 0 2 0 0 5242880 5898240 5242880 0.0625 0 0.125 0 -2.21176367874489e-10
+1310720 0 2 0 0 5242880 6029312 5242880 0.0625 0 0.15 0 -1.26435693396469e-09
+1310720 0 2 0 0 5242880 6160384 5242880 0.0625 0 0.175 0 -8.18554005637242e-10
+1310720 0 2 0 0 5242880 6291456 5242880 0.0625 0 0.2 0 -1.09402042980378e-10
+1310720 0 2 0 0 5242880 6422528 5242880 0.0625 0 0.225 0 -6.94423742593689e-11
+1310720 0 2 0 0 5242880 6553600 5242880 0.0625 0 0.25 0 -1.49538088653709e-10
+
+
+# iteration 1441792
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 2 0 0 5242880 3932160 5242880 0.06875 0 -0.25 0 1.81307149993657e-10
+1441792 0 2 0 0 5242880 4063232 5242880 0.06875 0 -0.225 0 7.7773652278003e-11
+1441792 0 2 0 0 5242880 4194304 5242880 0.06875 0 -0.2 0 1.03259930987754e-10
+1441792 0 2 0 0 5242880 4325376 5242880 0.06875 0 -0.175 0 8.64003737307137e-10
+1441792 0 2 0 0 5242880 4456448 5242880 0.06875 0 -0.15 0 1.36522779944452e-09
+1441792 0 2 0 0 5242880 4587520 5242880 0.06875 0 -0.125 0 3.34266718489435e-10
+1441792 0 2 0 0 5242880 4718592 5242880 0.06875 0 -0.1 0 -8.06391597015418e-10
+1441792 0 2 0 0 5242880 4849664 5242880 0.06875 0 -0.075 0 -1.88530306181415e-09
+1441792 0 2 0 0 5242880 4980736 5242880 0.06875 0 -0.05 0 -2.82855130521546e-10
+1441792 0 2 0 0 5242880 5111808 5242880 0.06875 0 -0.025 0 -5.27734009270198e-10
+1441792 0 2 0 0 5242880 5242880 5242880 0.06875 0 0 0 0
+1441792 0 2 0 0 5242880 5373952 5242880 0.06875 0 0.025 0 5.27734009270198e-10
+1441792 0 2 0 0 5242880 5505024 5242880 0.06875 0 0.05 0 2.82855130521546e-10
+1441792 0 2 0 0 5242880 5636096 5242880 0.06875 0 0.075 0 1.88530306181415e-09
+1441792 0 2 0 0 5242880 5767168 5242880 0.06875 0 0.1 0 8.06391597015418e-10
+1441792 0 2 0 0 5242880 5898240 5242880 0.06875 0 0.125 0 -3.34266718489435e-10
+1441792 0 2 0 0 5242880 6029312 5242880 0.06875 0 0.15 0 -1.36522779944452e-09
+1441792 0 2 0 0 5242880 6160384 5242880 0.06875 0 0.175 0 -8.64003737307137e-10
+1441792 0 2 0 0 5242880 6291456 5242880 0.06875 0 0.2 0 -1.03259930987754e-10
+1441792 0 2 0 0 5242880 6422528 5242880 0.06875 0 0.225 0 -7.7773652278003e-11
+1441792 0 2 0 0 5242880 6553600 5242880 0.06875 0 0.25 0 -1.81307149993657e-10
+
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 5242880 0 5242880 0.075 0 -1 0 0
+1572864 0 0 0 0 5242880 524288 5242880 0.075 0 -0.9 0 0
+1572864 0 0 0 0 5242880 1048576 5242880 0.075 0 -0.8 0 0
+1572864 0 0 0 0 5242880 1572864 5242880 0.075 0 -0.7 0 -1.35771024053118e-15
+1572864 0 0 0 0 5242880 2097152 5242880 0.075 0 -0.6 0 1.98637402822518e-14
+1572864 0 0 0 0 5242880 2621440 5242880 0.075 0 -0.5 0 -6.42636407051829e-13
+1572864 0 0 0 0 5242880 3145728 5242880 0.075 0 -0.4 0 5.86269458905756e-12
+1572864 0 0 0 0 5242880 3670016 5242880 0.075 0 -0.3 0 -5.08978900692902e-11
+1572864 0 0 0 0 5242880 4194304 5242880 0.075 0 -0.2 0 9.43000122433091e-11
+1572864 0 0 0 0 5242880 4718592 5242880 0.075 0 -0.1 0 -6.75829822660567e-10
+1572864 0 0 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+1572864 0 0 0 0 5242880 5767168 5242880 0.075 0 0.1 0 6.75829822660567e-10
+1572864 0 0 0 0 5242880 6291456 5242880 0.075 0 0.2 0 -9.43000122433091e-11
+1572864 0 0 0 0 5242880 6815744 5242880 0.075 0 0.3 0 5.08978900692902e-11
+1572864 0 0 0 0 5242880 7340032 5242880 0.075 0 0.4 0 -5.86269458905756e-12
+1572864 0 0 0 0 5242880 7864320 5242880 0.075 0 0.5 0 6.42636407051829e-13
+1572864 0 0 0 0 5242880 8388608 5242880 0.075 0 0.6 0 -1.98637402822518e-14
+1572864 0 0 0 0 5242880 8912896 5242880 0.075 0 0.7 0 1.35771024053118e-15
+1572864 0 0 0 0 5242880 9437184 5242880 0.075 0 0.8 0 0
+1572864 0 0 0 0 5242880 9961472 5242880 0.075 0 0.9 0 0
+1572864 0 0 0 0 5242880 10485760 5242880 0.075 0 1 0 0
+
+
+# iteration 1572864
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 1 0 0 5242880 2621440 5242880 0.075 0 -0.5 0 -6.42636407051829e-13
+1572864 0 1 0 0 5242880 2883584 5242880 0.075 0 -0.45 0 6.11615937294123e-12
+1572864 0 1 0 0 5242880 3145728 5242880 0.075 0 -0.4 0 5.86269458905756e-12
+1572864 0 1 0 0 5242880 3407872 5242880 0.075 0 -0.35 0 -3.1185883447397e-11
+1572864 0 1 0 0 5242880 3670016 5242880 0.075 0 -0.3 0 -5.08978900692902e-11
+1572864 0 1 0 0 5242880 3932160 5242880 0.075 0 -0.25 0 6.6286639227355e-11
+1572864 0 1 0 0 5242880 4194304 5242880 0.075 0 -0.2 0 9.43000122433091e-11
+1572864 0 1 0 0 5242880 4456448 5242880 0.075 0 -0.15 0 1.45205973171395e-09
+1572864 0 1 0 0 5242880 4718592 5242880 0.075 0 -0.1 0 -6.75829822660567e-10
+1572864 0 1 0 0 5242880 4980736 5242880 0.075 0 -0.05 0 -3.56851564501752e-10
+1572864 0 1 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+1572864 0 1 0 0 5242880 5505024 5242880 0.075 0 0.05 0 3.56851564501752e-10
+1572864 0 1 0 0 5242880 5767168 5242880 0.075 0 0.1 0 6.75829822660567e-10
+1572864 0 1 0 0 5242880 6029312 5242880 0.075 0 0.15 0 -1.45205973171395e-09
+1572864 0 1 0 0 5242880 6291456 5242880 0.075 0 0.2 0 -9.43000122433091e-11
+1572864 0 1 0 0 5242880 6553600 5242880 0.075 0 0.25 0 -6.6286639227355e-11
+1572864 0 1 0 0 5242880 6815744 5242880 0.075 0 0.3 0 5.08978900692902e-11
+1572864 0 1 0 0 5242880 7077888 5242880 0.075 0 0.35 0 3.1185883447397e-11
+1572864 0 1 0 0 5242880 7340032 5242880 0.075 0 0.4 0 -5.86269458905756e-12
+1572864 0 1 0 0 5242880 7602176 5242880 0.075 0 0.45 0 -6.11615937294123e-12
+1572864 0 1 0 0 5242880 7864320 5242880 0.075 0 0.5 0 6.42636407051829e-13
+
+
+# iteration 1572864
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 2 0 0 5242880 3932160 5242880 0.075 0 -0.25 0 6.6286639227355e-11
+1572864 0 2 0 0 5242880 4063232 5242880 0.075 0 -0.225 0 2.75737634945702e-12
+1572864 0 2 0 0 5242880 4194304 5242880 0.075 0 -0.2 0 9.43000122433091e-11
+1572864 0 2 0 0 5242880 4325376 5242880 0.075 0 -0.175 0 9.07923804940536e-10
+1572864 0 2 0 0 5242880 4456448 5242880 0.075 0 -0.15 0 1.45205973171395e-09
+1572864 0 2 0 0 5242880 4587520 5242880 0.075 0 -0.125 0 4.53038795858683e-10
+1572864 0 2 0 0 5242880 4718592 5242880 0.075 0 -0.1 0 -6.75829822660567e-10
+1572864 0 2 0 0 5242880 4849664 5242880 0.075 0 -0.075 0 -1.8117351507918e-09
+1572864 0 2 0 0 5242880 4980736 5242880 0.075 0 -0.05 0 -3.56851564501752e-10
+1572864 0 2 0 0 5242880 5111808 5242880 0.075 0 -0.025 0 -6.50323827196727e-10
+1572864 0 2 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+1572864 0 2 0 0 5242880 5373952 5242880 0.075 0 0.025 0 6.50323827196727e-10
+1572864 0 2 0 0 5242880 5505024 5242880 0.075 0 0.05 0 3.56851564501752e-10
+1572864 0 2 0 0 5242880 5636096 5242880 0.075 0 0.075 0 1.8117351507918e-09
+1572864 0 2 0 0 5242880 5767168 5242880 0.075 0 0.1 0 6.75829822660567e-10
+1572864 0 2 0 0 5242880 5898240 5242880 0.075 0 0.125 0 -4.53038795858683e-10
+1572864 0 2 0 0 5242880 6029312 5242880 0.075 0 0.15 0 -1.45205973171395e-09
+1572864 0 2 0 0 5242880 6160384 5242880 0.075 0 0.175 0 -9.07923804940536e-10
+1572864 0 2 0 0 5242880 6291456 5242880 0.075 0 0.2 0 -9.43000122433091e-11
+1572864 0 2 0 0 5242880 6422528 5242880 0.075 0 0.225 0 -2.75737634945702e-12
+1572864 0 2 0 0 5242880 6553600 5242880 0.075 0 0.25 0 -6.6286639227355e-11
+
+
+# iteration 1703936
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 2 0 0 5242880 3932160 5242880 0.08125 0 -0.25 0 6.96062224198494e-11
+1703936 0 2 0 0 5242880 4063232 5242880 0.08125 0 -0.225 0 -1.10388286118339e-11
+1703936 0 2 0 0 5242880 4194304 5242880 0.08125 0 -0.2 0 7.52374759716012e-11
+1703936 0 2 0 0 5242880 4325376 5242880 0.08125 0 -0.175 0 9.3008305679465e-10
+1703936 0 2 0 0 5242880 4456448 5242880 0.08125 0 -0.15 0 1.52889975737573e-09
+1703936 0 2 0 0 5242880 4587520 5242880 0.08125 0 -0.125 0 5.89320989216024e-10
+1703936 0 2 0 0 5242880 4718592 5242880 0.08125 0 -0.1 0 -4.94475691873812e-10
+1703936 0 2 0 0 5242880 4849664 5242880 0.08125 0 -0.075 0 -1.67817614897074e-09
+1703936 0 2 0 0 5242880 4980736 5242880 0.08125 0 -0.05 0 -4.281106418443e-10
+1703936 0 2 0 0 5242880 5111808 5242880 0.08125 0 -0.025 0 -7.70426056284634e-10
+1703936 0 2 0 0 5242880 5242880 5242880 0.08125 0 0 0 0
+1703936 0 2 0 0 5242880 5373952 5242880 0.08125 0 0.025 0 7.70426056284634e-10
+1703936 0 2 0 0 5242880 5505024 5242880 0.08125 0 0.05 0 4.281106418443e-10
+1703936 0 2 0 0 5242880 5636096 5242880 0.08125 0 0.075 0 1.67817614897074e-09
+1703936 0 2 0 0 5242880 5767168 5242880 0.08125 0 0.1 0 4.94475691873812e-10
+1703936 0 2 0 0 5242880 5898240 5242880 0.08125 0 0.125 0 -5.89320989216024e-10
+1703936 0 2 0 0 5242880 6029312 5242880 0.08125 0 0.15 0 -1.52889975737573e-09
+1703936 0 2 0 0 5242880 6160384 5242880 0.08125 0 0.175 0 -9.3008305679465e-10
+1703936 0 2 0 0 5242880 6291456 5242880 0.08125 0 0.2 0 -7.52374759716012e-11
+1703936 0 2 0 0 5242880 6422528 5242880 0.08125 0 0.225 0 1.10388286118339e-11
+1703936 0 2 0 0 5242880 6553600 5242880 0.08125 0 0.25 0 -6.96062224198494e-11
+
+
+# iteration 1835008
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 1 0 0 5242880 2621440 5242880 0.0875 0 -0.5 0 -1.14959691072114e-12
+1835008 0 1 0 0 5242880 2883584 5242880 0.0875 0 -0.45 0 7.22601572039165e-12
+1835008 0 1 0 0 5242880 3145728 5242880 0.0875 0 -0.4 0 9.22265678178953e-12
+1835008 0 1 0 0 5242880 3407872 5242880 0.0875 0 -0.35 0 -2.91131087878753e-11
+1835008 0 1 0 0 5242880 3670016 5242880 0.0875 0 -0.3 0 -4.30227031662326e-11
+1835008 0 1 0 0 5242880 3932160 5242880 0.0875 0 -0.25 0 1.02889344216125e-10
+1835008 0 1 0 0 5242880 4194304 5242880 0.0875 0 -0.2 0 4.8500592431111e-11
+1835008 0 1 0 0 5242880 4456448 5242880 0.0875 0 -0.15 0 1.59439886756226e-09
+1835008 0 1 0 0 5242880 4718592 5242880 0.0875 0 -0.1 0 -2.54991675922393e-10
+1835008 0 1 0 0 5242880 4980736 5242880 0.0875 0 -0.05 0 -4.89255647569594e-10
+1835008 0 1 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+1835008 0 1 0 0 5242880 5505024 5242880 0.0875 0 0.05 0 4.89255647569594e-10
+1835008 0 1 0 0 5242880 5767168 5242880 0.0875 0 0.1 0 2.54991675922393e-10
+1835008 0 1 0 0 5242880 6029312 5242880 0.0875 0 0.15 0 -1.59439886756226e-09
+1835008 0 1 0 0 5242880 6291456 5242880 0.0875 0 0.2 0 -4.8500592431111e-11
+1835008 0 1 0 0 5242880 6553600 5242880 0.0875 0 0.25 0 -1.02889344216125e-10
+1835008 0 1 0 0 5242880 6815744 5242880 0.0875 0 0.3 0 4.30227031662326e-11
+1835008 0 1 0 0 5242880 7077888 5242880 0.0875 0 0.35 0 2.91131087878753e-11
+1835008 0 1 0 0 5242880 7340032 5242880 0.0875 0 0.4 0 -9.22265678178953e-12
+1835008 0 1 0 0 5242880 7602176 5242880 0.0875 0 0.45 0 -7.22601572039165e-12
+1835008 0 1 0 0 5242880 7864320 5242880 0.0875 0 0.5 0 1.14959691072114e-12
+
+
+# iteration 1835008
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 2 0 0 5242880 3932160 5242880 0.0875 0 -0.25 0 1.02889344216125e-10
+1835008 0 2 0 0 5242880 4063232 5242880 0.0875 0 -0.225 0 -1.18041709106814e-11
+1835008 0 2 0 0 5242880 4194304 5242880 0.0875 0 -0.2 0 4.8500592431111e-11
+1835008 0 2 0 0 5242880 4325376 5242880 0.0875 0 -0.175 0 9.33637341977913e-10
+1835008 0 2 0 0 5242880 4456448 5242880 0.0875 0 -0.15 0 1.59439886756226e-09
+1835008 0 2 0 0 5242880 4587520 5242880 0.0875 0 -0.125 0 7.8096373624358e-10
+1835008 0 2 0 0 5242880 4718592 5242880 0.0875 0 -0.1 0 -2.54991675922393e-10
+1835008 0 2 0 0 5242880 4849664 5242880 0.0875 0 -0.075 0 -1.48597429731427e-09
+1835008 0 2 0 0 5242880 4980736 5242880 0.0875 0 -0.05 0 -4.89255647569594e-10
+1835008 0 2 0 0 5242880 5111808 5242880 0.0875 0 -0.025 0 -8.8000695156835e-10
+1835008 0 2 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+1835008 0 2 0 0 5242880 5373952 5242880 0.0875 0 0.025 0 8.8000695156835e-10
+1835008 0 2 0 0 5242880 5505024 5242880 0.0875 0 0.05 0 4.89255647569594e-10
+1835008 0 2 0 0 5242880 5636096 5242880 0.0875 0 0.075 0 1.48597429731427e-09
+1835008 0 2 0 0 5242880 5767168 5242880 0.0875 0 0.1 0 2.54991675922393e-10
+1835008 0 2 0 0 5242880 5898240 5242880 0.0875 0 0.125 0 -7.8096373624358e-10
+1835008 0 2 0 0 5242880 6029312 5242880 0.0875 0 0.15 0 -1.59439886756226e-09
+1835008 0 2 0 0 5242880 6160384 5242880 0.0875 0 0.175 0 -9.33637341977913e-10
+1835008 0 2 0 0 5242880 6291456 5242880 0.0875 0 0.2 0 -4.8500592431111e-11
+1835008 0 2 0 0 5242880 6422528 5242880 0.0875 0 0.225 0 1.18041709106814e-11
+1835008 0 2 0 0 5242880 6553600 5242880 0.0875 0 0.25 0 -1.02889344216125e-10
+
+
+# iteration 1966080
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 2 0 0 5242880 3932160 5242880 0.09375 0 -0.25 0 1.34436501201734e-10
+1966080 0 2 0 0 5242880 4063232 5242880 0.09375 0 -0.225 0 -1.03885846193062e-11
+1966080 0 2 0 0 5242880 4194304 5242880 0.09375 0 -0.2 0 2.69188612372906e-11
+1966080 0 2 0 0 5242880 4325376 5242880 0.09375 0 -0.175 0 9.38286274781054e-10
+1966080 0 2 0 0 5242880 4456448 5242880 0.09375 0 -0.15 0 1.65348419736237e-09
+1966080 0 2 0 0 5242880 4587520 5242880 0.09375 0 -0.125 0 9.42916074141038e-10
+1966080 0 2 0 0 5242880 4718592 5242880 0.09375 0 -0.1 0 2.10926091407752e-11
+1966080 0 2 0 0 5242880 4849664 5242880 0.09375 0 -0.075 0 -1.23712620703209e-09
+1966080 0 2 0 0 5242880 4980736 5242880 0.09375 0 -0.05 0 -5.31834245624345e-10
+1966080 0 2 0 0 5242880 5111808 5242880 0.09375 0 -0.025 0 -9.7040738870439e-10
+1966080 0 2 0 0 5242880 5242880 5242880 0.09375 0 0 0 0
+1966080 0 2 0 0 5242880 5373952 5242880 0.09375 0 0.025 0 9.7040738870439e-10
+1966080 0 2 0 0 5242880 5505024 5242880 0.09375 0 0.05 0 5.31834245624345e-10
+1966080 0 2 0 0 5242880 5636096 5242880 0.09375 0 0.075 0 1.23712620703209e-09
+1966080 0 2 0 0 5242880 5767168 5242880 0.09375 0 0.1 0 -2.10926091407752e-11
+1966080 0 2 0 0 5242880 5898240 5242880 0.09375 0 0.125 0 -9.42916074141038e-10
+1966080 0 2 0 0 5242880 6029312 5242880 0.09375 0 0.15 0 -1.65348419736237e-09
+1966080 0 2 0 0 5242880 6160384 5242880 0.09375 0 0.175 0 -9.38286274781054e-10
+1966080 0 2 0 0 5242880 6291456 5242880 0.09375 0 0.2 0 -2.69188612372906e-11
+1966080 0 2 0 0 5242880 6422528 5242880 0.09375 0 0.225 0 1.03885846193062e-11
+1966080 0 2 0 0 5242880 6553600 5242880 0.09375 0 0.25 0 -1.34436501201734e-10
+
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 5242880 0 5242880 0.1 0 -1 0 0
+2097152 0 0 0 0 5242880 524288 5242880 0.1 0 -0.9 0 -2.31296463463574e-17
+2097152 0 0 0 0 5242880 1048576 5242880 0.1 0 -0.8 0 3.46944695195361e-16
+2097152 0 0 0 0 5242880 1572864 5242880 0.1 0 -0.7 0 -1.33434929772136e-14
+2097152 0 0 0 0 5242880 2097152 5242880 0.1 0 -0.6 0 1.30913798320383e-13
+2097152 0 0 0 0 5242880 2621440 5242880 0.1 0 -0.5 0 -1.80851861264486e-12
+2097152 0 0 0 0 5242880 3145728 5242880 0.1 0 -0.4 0 1.32743815939307e-11
+2097152 0 0 0 0 5242880 3670016 5242880 0.1 0 -0.3 0 -2.44367743632938e-11
+2097152 0 0 0 0 5242880 4194304 5242880 0.1 0 -0.2 0 6.21578251832252e-12
+2097152 0 0 0 0 5242880 4718592 5242880 0.1 0 -0.1 0 3.4977364523255e-10
+2097152 0 0 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 0 0 0 5242880 5767168 5242880 0.1 0 0.1 0 -3.4977364523255e-10
+2097152 0 0 0 0 5242880 6291456 5242880 0.1 0 0.2 0 -6.21578251832252e-12
+2097152 0 0 0 0 5242880 6815744 5242880 0.1 0 0.3 0 2.44367743632938e-11
+2097152 0 0 0 0 5242880 7340032 5242880 0.1 0 0.4 0 -1.32743815939307e-11
+2097152 0 0 0 0 5242880 7864320 5242880 0.1 0 0.5 0 1.80851861264486e-12
+2097152 0 0 0 0 5242880 8388608 5242880 0.1 0 0.6 0 -1.30913798320383e-13
+2097152 0 0 0 0 5242880 8912896 5242880 0.1 0 0.7 0 1.33434929772136e-14
+2097152 0 0 0 0 5242880 9437184 5242880 0.1 0 0.8 0 -3.46944695195361e-16
+2097152 0 0 0 0 5242880 9961472 5242880 0.1 0 0.9 0 2.31296463463574e-17
+2097152 0 0 0 0 5242880 10485760 5242880 0.1 0 1 0 0
+
+
+# iteration 2097152
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 1 0 0 5242880 2621440 5242880 0.1 0 -0.5 0 -1.80851861264486e-12
+2097152 0 1 0 0 5242880 2883584 5242880 0.1 0 -0.45 0 7.96866421228411e-12
+2097152 0 1 0 0 5242880 3145728 5242880 0.1 0 -0.4 0 1.32743815939307e-11
+2097152 0 1 0 0 5242880 3407872 5242880 0.1 0 -0.35 0 -6.55429992687158e-12
+2097152 0 1 0 0 5242880 3670016 5242880 0.1 0 -0.3 0 -2.44367743632938e-11
+2097152 0 1 0 0 5242880 3932160 5242880 0.1 0 -0.25 0 -3.29398095894514e-11
+2097152 0 1 0 0 5242880 4194304 5242880 0.1 0 -0.2 0 6.21578251832252e-12
+2097152 0 1 0 0 5242880 4456448 5242880 0.1 0 -0.15 0 1.70451336841312e-09
+2097152 0 1 0 0 5242880 4718592 5242880 0.1 0 -0.1 0 3.4977364523255e-10
+2097152 0 1 0 0 5242880 4980736 5242880 0.1 0 -0.05 0 -5.46878123804569e-10
+2097152 0 1 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 1 0 0 5242880 5505024 5242880 0.1 0 0.05 0 5.46878123804569e-10
+2097152 0 1 0 0 5242880 5767168 5242880 0.1 0 0.1 0 -3.4977364523255e-10
+2097152 0 1 0 0 5242880 6029312 5242880 0.1 0 0.15 0 -1.70451336841312e-09
+2097152 0 1 0 0 5242880 6291456 5242880 0.1 0 0.2 0 -6.21578251832252e-12
+2097152 0 1 0 0 5242880 6553600 5242880 0.1 0 0.25 0 3.29398095894514e-11
+2097152 0 1 0 0 5242880 6815744 5242880 0.1 0 0.3 0 2.44367743632938e-11
+2097152 0 1 0 0 5242880 7077888 5242880 0.1 0 0.35 0 6.55429992687158e-12
+2097152 0 1 0 0 5242880 7340032 5242880 0.1 0 0.4 0 -1.32743815939307e-11
+2097152 0 1 0 0 5242880 7602176 5242880 0.1 0 0.45 0 -7.96866421228411e-12
+2097152 0 1 0 0 5242880 7864320 5242880 0.1 0 0.5 0 1.80851861264486e-12
+
+
+# iteration 2097152
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 2 0 0 5242880 3932160 5242880 0.1 0 -0.25 0 -3.29398095894514e-11
+2097152 0 2 0 0 5242880 4063232 5242880 0.1 0 -0.225 0 -1.20037052355624e-10
+2097152 0 2 0 0 5242880 4194304 5242880 0.1 0 -0.2 0 6.21578251832252e-12
+2097152 0 2 0 0 5242880 4325376 5242880 0.1 0 -0.175 0 9.4248303267124e-10
+2097152 0 2 0 0 5242880 4456448 5242880 0.1 0 -0.15 0 1.70451336841312e-09
+2097152 0 2 0 0 5242880 4587520 5242880 0.1 0 -0.125 0 1.18932784150608e-09
+2097152 0 2 0 0 5242880 4718592 5242880 0.1 0 -0.1 0 3.4977364523255e-10
+2097152 0 2 0 0 5242880 4849664 5242880 0.1 0 -0.075 0 -9.3463225122233e-10
+2097152 0 2 0 0 5242880 4980736 5242880 0.1 0 -0.05 0 -5.46878123804569e-10
+2097152 0 2 0 0 5242880 5111808 5242880 0.1 0 -0.025 0 -1.03273274654203e-09
+2097152 0 2 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 2 0 0 5242880 5373952 5242880 0.1 0 0.025 0 1.03273274654203e-09
+2097152 0 2 0 0 5242880 5505024 5242880 0.1 0 0.05 0 5.46878123804569e-10
+2097152 0 2 0 0 5242880 5636096 5242880 0.1 0 0.075 0 9.3463225122233e-10
+2097152 0 2 0 0 5242880 5767168 5242880 0.1 0 0.1 0 -3.4977364523255e-10
+2097152 0 2 0 0 5242880 5898240 5242880 0.1 0 0.125 0 -1.18932784150608e-09
+2097152 0 2 0 0 5242880 6029312 5242880 0.1 0 0.15 0 -1.70451336841312e-09
+2097152 0 2 0 0 5242880 6160384 5242880 0.1 0 0.175 0 -9.4248303267124e-10
+2097152 0 2 0 0 5242880 6291456 5242880 0.1 0 0.2 0 -6.21578251832252e-12
+2097152 0 2 0 0 5242880 6422528 5242880 0.1 0 0.225 0 1.20037052355624e-10
+2097152 0 2 0 0 5242880 6553600 5242880 0.1 0 0.25 0 3.29398095894514e-11
+
+
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiy.z.asc b/Carpet/CarpetInterp/test/waveinterp/phiy.z.asc
new file mode 100644
index 000000000..00d322570
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiy.z.asc
@@ -0,0 +1,808 @@
+# WAVEMOL::phiy z (phiy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 5242880 5242880 0 0 0 0 -1 0
+0 0 0 0 0 5242880 5242880 524288 0 0 0 -0.9 0
+0 0 0 0 0 5242880 5242880 1048576 0 0 0 -0.8 0
+0 0 0 0 0 5242880 5242880 1572864 0 0 0 -0.7 0
+0 0 0 0 0 5242880 5242880 2097152 0 0 0 -0.6 0
+0 0 0 0 0 5242880 5242880 2621440 0 0 0 -0.5 0
+0 0 0 0 0 5242880 5242880 3145728 0 0 0 -0.4 0
+0 0 0 0 0 5242880 5242880 3670016 0 0 0 -0.3 0
+0 0 0 0 0 5242880 5242880 4194304 0 0 0 -0.2 0
+0 0 0 0 0 5242880 5242880 4718592 0 0 0 -0.1 0
+0 0 0 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 0 0 0 5242880 5242880 5767168 0 0 0 0.1 0
+0 0 0 0 0 5242880 5242880 6291456 0 0 0 0.2 0
+0 0 0 0 0 5242880 5242880 6815744 0 0 0 0.3 0
+0 0 0 0 0 5242880 5242880 7340032 0 0 0 0.4 0
+0 0 0 0 0 5242880 5242880 7864320 0 0 0 0.5 0
+0 0 0 0 0 5242880 5242880 8388608 0 0 0 0.6 0
+0 0 0 0 0 5242880 5242880 8912896 0 0 0 0.7 0
+0 0 0 0 0 5242880 5242880 9437184 0 0 0 0.8 0
+0 0 0 0 0 5242880 5242880 9961472 0 0 0 0.9 0
+0 0 0 0 0 5242880 5242880 10485760 0 0 0 1 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 5242880 5242880 2621440 0 0 0 -0.5 0
+0 0 1 0 0 5242880 5242880 2883584 0 0 0 -0.45 0
+0 0 1 0 0 5242880 5242880 3145728 0 0 0 -0.4 0
+0 0 1 0 0 5242880 5242880 3407872 0 0 0 -0.35 0
+0 0 1 0 0 5242880 5242880 3670016 0 0 0 -0.3 0
+0 0 1 0 0 5242880 5242880 3932160 0 0 0 -0.25 0
+0 0 1 0 0 5242880 5242880 4194304 0 0 0 -0.2 0
+0 0 1 0 0 5242880 5242880 4456448 0 0 0 -0.15 0
+0 0 1 0 0 5242880 5242880 4718592 0 0 0 -0.1 0
+0 0 1 0 0 5242880 5242880 4980736 0 0 0 -0.05 0
+0 0 1 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 1 0 0 5242880 5242880 5505024 0 0 0 0.05 0
+0 0 1 0 0 5242880 5242880 5767168 0 0 0 0.1 0
+0 0 1 0 0 5242880 5242880 6029312 0 0 0 0.15 0
+0 0 1 0 0 5242880 5242880 6291456 0 0 0 0.2 0
+0 0 1 0 0 5242880 5242880 6553600 0 0 0 0.25 0
+0 0 1 0 0 5242880 5242880 6815744 0 0 0 0.3 0
+0 0 1 0 0 5242880 5242880 7077888 0 0 0 0.35 0
+0 0 1 0 0 5242880 5242880 7340032 0 0 0 0.4 0
+0 0 1 0 0 5242880 5242880 7602176 0 0 0 0.45 0
+0 0 1 0 0 5242880 5242880 7864320 0 0 0 0.5 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 5242880 5242880 3932160 0 0 0 -0.25 0
+0 0 2 0 0 5242880 5242880 4063232 0 0 0 -0.225 0
+0 0 2 0 0 5242880 5242880 4194304 0 0 0 -0.2 0
+0 0 2 0 0 5242880 5242880 4325376 0 0 0 -0.175 0
+0 0 2 0 0 5242880 5242880 4456448 0 0 0 -0.15 0
+0 0 2 0 0 5242880 5242880 4587520 0 0 0 -0.125 0
+0 0 2 0 0 5242880 5242880 4718592 0 0 0 -0.1 0
+0 0 2 0 0 5242880 5242880 4849664 0 0 0 -0.075 0
+0 0 2 0 0 5242880 5242880 4980736 0 0 0 -0.05 0
+0 0 2 0 0 5242880 5242880 5111808 0 0 0 -0.025 0
+0 0 2 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 2 0 0 5242880 5242880 5373952 0 0 0 0.025 0
+0 0 2 0 0 5242880 5242880 5505024 0 0 0 0.05 0
+0 0 2 0 0 5242880 5242880 5636096 0 0 0 0.075 0
+0 0 2 0 0 5242880 5242880 5767168 0 0 0 0.1 0
+0 0 2 0 0 5242880 5242880 5898240 0 0 0 0.125 0
+0 0 2 0 0 5242880 5242880 6029312 0 0 0 0.15 0
+0 0 2 0 0 5242880 5242880 6160384 0 0 0 0.175 0
+0 0 2 0 0 5242880 5242880 6291456 0 0 0 0.2 0
+0 0 2 0 0 5242880 5242880 6422528 0 0 0 0.225 0
+0 0 2 0 0 5242880 5242880 6553600 0 0 0 0.25 0
+
+
+# iteration 131072
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 2 0 0 5242880 5242880 3932160 0.00625 0 0 -0.25 0
+131072 0 2 0 0 5242880 5242880 4063232 0.00625 0 0 -0.225 0
+131072 0 2 0 0 5242880 5242880 4194304 0.00625 0 0 -0.2 0
+131072 0 2 0 0 5242880 5242880 4325376 0.00625 0 0 -0.175 0
+131072 0 2 0 0 5242880 5242880 4456448 0.00625 0 0 -0.15 0
+131072 0 2 0 0 5242880 5242880 4587520 0.00625 0 0 -0.125 0
+131072 0 2 0 0 5242880 5242880 4718592 0.00625 0 0 -0.1 0
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+131072 0 2 0 0 5242880 5242880 4980736 0.00625 0 0 -0.05 0
+131072 0 2 0 0 5242880 5242880 5111808 0.00625 0 0 -0.025 0
+131072 0 2 0 0 5242880 5242880 5242880 0.00625 0 0 0 0
+131072 0 2 0 0 5242880 5242880 5373952 0.00625 0 0 0.025 0
+131072 0 2 0 0 5242880 5242880 5505024 0.00625 0 0 0.05 0
+131072 0 2 0 0 5242880 5242880 5636096 0.00625 0 0 0.075 0
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+131072 0 2 0 0 5242880 5242880 5898240 0.00625 0 0 0.125 0
+131072 0 2 0 0 5242880 5242880 6029312 0.00625 0 0 0.15 0
+131072 0 2 0 0 5242880 5242880 6160384 0.00625 0 0 0.175 0
+131072 0 2 0 0 5242880 5242880 6291456 0.00625 0 0 0.2 0
+131072 0 2 0 0 5242880 5242880 6422528 0.00625 0 0 0.225 0
+131072 0 2 0 0 5242880 5242880 6553600 0.00625 0 0 0.25 0
+
+
+# iteration 262144
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 1 0 0 5242880 5242880 2621440 0.0125 0 0 -0.5 0
+262144 0 1 0 0 5242880 5242880 2883584 0.0125 0 0 -0.45 0
+262144 0 1 0 0 5242880 5242880 3145728 0.0125 0 0 -0.4 0
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+262144 0 1 0 0 5242880 5242880 3670016 0.0125 0 0 -0.3 0
+262144 0 1 0 0 5242880 5242880 3932160 0.0125 0 0 -0.25 0
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+262144 0 1 0 0 5242880 5242880 4456448 0.0125 0 0 -0.15 0
+262144 0 1 0 0 5242880 5242880 4718592 0.0125 0 0 -0.1 0
+262144 0 1 0 0 5242880 5242880 4980736 0.0125 0 0 -0.05 0
+262144 0 1 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+262144 0 1 0 0 5242880 5242880 5505024 0.0125 0 0 0.05 0
+262144 0 1 0 0 5242880 5242880 5767168 0.0125 0 0 0.1 0
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+262144 0 1 0 0 5242880 5242880 6291456 0.0125 0 0 0.2 0
+262144 0 1 0 0 5242880 5242880 6553600 0.0125 0 0 0.25 0
+262144 0 1 0 0 5242880 5242880 6815744 0.0125 0 0 0.3 0
+262144 0 1 0 0 5242880 5242880 7077888 0.0125 0 0 0.35 0
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+262144 0 1 0 0 5242880 5242880 7602176 0.0125 0 0 0.45 0
+262144 0 1 0 0 5242880 5242880 7864320 0.0125 0 0 0.5 0
+
+
+# iteration 262144
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 2 0 0 5242880 5242880 3932160 0.0125 0 0 -0.25 0
+262144 0 2 0 0 5242880 5242880 4063232 0.0125 0 0 -0.225 0
+262144 0 2 0 0 5242880 5242880 4194304 0.0125 0 0 -0.2 0
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+262144 0 2 0 0 5242880 5242880 4849664 0.0125 0 0 -0.075 0
+262144 0 2 0 0 5242880 5242880 4980736 0.0125 0 0 -0.05 0
+262144 0 2 0 0 5242880 5242880 5111808 0.0125 0 0 -0.025 0
+262144 0 2 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
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+262144 0 2 0 0 5242880 5242880 5505024 0.0125 0 0 0.05 0
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+262144 0 2 0 0 5242880 5242880 5767168 0.0125 0 0 0.1 0
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+262144 0 2 0 0 5242880 5242880 6291456 0.0125 0 0 0.2 0
+262144 0 2 0 0 5242880 5242880 6422528 0.0125 0 0 0.225 0
+262144 0 2 0 0 5242880 5242880 6553600 0.0125 0 0 0.25 0
+
+
+# iteration 393216
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 2 0 0 5242880 5242880 3932160 0.01875 0 0 -0.25 0
+393216 0 2 0 0 5242880 5242880 4063232 0.01875 0 0 -0.225 0
+393216 0 2 0 0 5242880 5242880 4194304 0.01875 0 0 -0.2 0
+393216 0 2 0 0 5242880 5242880 4325376 0.01875 0 0 -0.175 0
+393216 0 2 0 0 5242880 5242880 4456448 0.01875 0 0 -0.15 0
+393216 0 2 0 0 5242880 5242880 4587520 0.01875 0 0 -0.125 0
+393216 0 2 0 0 5242880 5242880 4718592 0.01875 0 0 -0.1 0
+393216 0 2 0 0 5242880 5242880 4849664 0.01875 0 0 -0.075 0
+393216 0 2 0 0 5242880 5242880 4980736 0.01875 0 0 -0.05 0
+393216 0 2 0 0 5242880 5242880 5111808 0.01875 0 0 -0.025 0
+393216 0 2 0 0 5242880 5242880 5242880 0.01875 0 0 0 0
+393216 0 2 0 0 5242880 5242880 5373952 0.01875 0 0 0.025 0
+393216 0 2 0 0 5242880 5242880 5505024 0.01875 0 0 0.05 0
+393216 0 2 0 0 5242880 5242880 5636096 0.01875 0 0 0.075 0
+393216 0 2 0 0 5242880 5242880 5767168 0.01875 0 0 0.1 0
+393216 0 2 0 0 5242880 5242880 5898240 0.01875 0 0 0.125 0
+393216 0 2 0 0 5242880 5242880 6029312 0.01875 0 0 0.15 0
+393216 0 2 0 0 5242880 5242880 6160384 0.01875 0 0 0.175 0
+393216 0 2 0 0 5242880 5242880 6291456 0.01875 0 0 0.2 0
+393216 0 2 0 0 5242880 5242880 6422528 0.01875 0 0 0.225 0
+393216 0 2 0 0 5242880 5242880 6553600 0.01875 0 0 0.25 0
+
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 5242880 5242880 0 0.025 0 0 -1 0
+524288 0 0 0 0 5242880 5242880 524288 0.025 0 0 -0.9 0
+524288 0 0 0 0 5242880 5242880 1048576 0.025 0 0 -0.8 0
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+524288 0 0 0 0 5242880 5242880 2621440 0.025 0 0 -0.5 0
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+524288 0 0 0 0 5242880 5242880 3670016 0.025 0 0 -0.3 0
+524288 0 0 0 0 5242880 5242880 4194304 0.025 0 0 -0.2 0
+524288 0 0 0 0 5242880 5242880 4718592 0.025 0 0 -0.1 0
+524288 0 0 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 0 0 0 5242880 5242880 5767168 0.025 0 0 0.1 0
+524288 0 0 0 0 5242880 5242880 6291456 0.025 0 0 0.2 0
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+524288 0 0 0 0 5242880 5242880 7340032 0.025 0 0 0.4 0
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+524288 0 0 0 0 5242880 5242880 8388608 0.025 0 0 0.6 0
+524288 0 0 0 0 5242880 5242880 8912896 0.025 0 0 0.7 0
+524288 0 0 0 0 5242880 5242880 9437184 0.025 0 0 0.8 0
+524288 0 0 0 0 5242880 5242880 9961472 0.025 0 0 0.9 0
+524288 0 0 0 0 5242880 5242880 10485760 0.025 0 0 1 0
+
+
+# iteration 524288
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 1 0 0 5242880 5242880 2621440 0.025 0 0 -0.5 0
+524288 0 1 0 0 5242880 5242880 2883584 0.025 0 0 -0.45 0
+524288 0 1 0 0 5242880 5242880 3145728 0.025 0 0 -0.4 0
+524288 0 1 0 0 5242880 5242880 3407872 0.025 0 0 -0.35 0
+524288 0 1 0 0 5242880 5242880 3670016 0.025 0 0 -0.3 0
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+524288 0 1 0 0 5242880 5242880 4194304 0.025 0 0 -0.2 0
+524288 0 1 0 0 5242880 5242880 4456448 0.025 0 0 -0.15 0
+524288 0 1 0 0 5242880 5242880 4718592 0.025 0 0 -0.1 0
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+524288 0 1 0 0 5242880 5242880 5242880 0.025 0 0 0 0
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+524288 0 1 0 0 5242880 5242880 5767168 0.025 0 0 0.1 0
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+524288 0 1 0 0 5242880 5242880 6291456 0.025 0 0 0.2 0
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+524288 0 1 0 0 5242880 5242880 7602176 0.025 0 0 0.45 0
+524288 0 1 0 0 5242880 5242880 7864320 0.025 0 0 0.5 0
+
+
+# iteration 524288
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 2 0 0 5242880 5242880 3932160 0.025 0 0 -0.25 0
+524288 0 2 0 0 5242880 5242880 4063232 0.025 0 0 -0.225 0
+524288 0 2 0 0 5242880 5242880 4194304 0.025 0 0 -0.2 0
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+524288 0 2 0 0 5242880 5242880 6553600 0.025 0 0 0.25 0
+
+
+# iteration 655360
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 2 0 0 5242880 5242880 3932160 0.03125 0 0 -0.25 0
+655360 0 2 0 0 5242880 5242880 4063232 0.03125 0 0 -0.225 0
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+655360 0 2 0 0 5242880 5242880 6553600 0.03125 0 0 0.25 0
+
+
+# iteration 786432
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 1 0 0 5242880 5242880 2621440 0.0375 0 0 -0.5 0
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+786432 0 1 0 0 5242880 5242880 7077888 0.0375 0 0 0.35 0
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+786432 0 1 0 0 5242880 5242880 7864320 0.0375 0 0 0.5 0
+
+
+# iteration 786432
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 2 0 0 5242880 5242880 3932160 0.0375 0 0 -0.25 0
+786432 0 2 0 0 5242880 5242880 4063232 0.0375 0 0 -0.225 0
+786432 0 2 0 0 5242880 5242880 4194304 0.0375 0 0 -0.2 0
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+786432 0 2 0 0 5242880 5242880 6553600 0.0375 0 0 0.25 0
+
+
+# iteration 917504
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 2 0 0 5242880 5242880 3932160 0.04375 0 0 -0.25 0
+917504 0 2 0 0 5242880 5242880 4063232 0.04375 0 0 -0.225 0
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+917504 0 2 0 0 5242880 5242880 4980736 0.04375 0 0 -0.05 0
+917504 0 2 0 0 5242880 5242880 5111808 0.04375 0 0 -0.025 0
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+917504 0 2 0 0 5242880 5242880 6422528 0.04375 0 0 0.225 0
+917504 0 2 0 0 5242880 5242880 6553600 0.04375 0 0 0.25 0
+
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 5242880 5242880 0 0.05 0 0 -1 0
+1048576 0 0 0 0 5242880 5242880 524288 0.05 0 0 -0.9 0
+1048576 0 0 0 0 5242880 5242880 1048576 0.05 0 0 -0.8 0
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+1048576 0 0 0 0 5242880 5242880 3670016 0.05 0 0 -0.3 0
+1048576 0 0 0 0 5242880 5242880 4194304 0.05 0 0 -0.2 0
+1048576 0 0 0 0 5242880 5242880 4718592 0.05 0 0 -0.1 0
+1048576 0 0 0 0 5242880 5242880 5242880 0.05 0 0 0 0
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+1048576 0 0 0 0 5242880 5242880 6291456 0.05 0 0 0.2 0
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+1048576 0 0 0 0 5242880 5242880 7340032 0.05 0 0 0.4 0
+1048576 0 0 0 0 5242880 5242880 7864320 0.05 0 0 0.5 0
+1048576 0 0 0 0 5242880 5242880 8388608 0.05 0 0 0.6 0
+1048576 0 0 0 0 5242880 5242880 8912896 0.05 0 0 0.7 0
+1048576 0 0 0 0 5242880 5242880 9437184 0.05 0 0 0.8 0
+1048576 0 0 0 0 5242880 5242880 9961472 0.05 0 0 0.9 0
+1048576 0 0 0 0 5242880 5242880 10485760 0.05 0 0 1 0
+
+
+# iteration 1048576
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 1 0 0 5242880 5242880 2621440 0.05 0 0 -0.5 0
+1048576 0 1 0 0 5242880 5242880 2883584 0.05 0 0 -0.45 0
+1048576 0 1 0 0 5242880 5242880 3145728 0.05 0 0 -0.4 0
+1048576 0 1 0 0 5242880 5242880 3407872 0.05 0 0 -0.35 0
+1048576 0 1 0 0 5242880 5242880 3670016 0.05 0 0 -0.3 0
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+1048576 0 1 0 0 5242880 5242880 6553600 0.05 0 0 0.25 0
+1048576 0 1 0 0 5242880 5242880 6815744 0.05 0 0 0.3 0
+1048576 0 1 0 0 5242880 5242880 7077888 0.05 0 0 0.35 0
+1048576 0 1 0 0 5242880 5242880 7340032 0.05 0 0 0.4 0
+1048576 0 1 0 0 5242880 5242880 7602176 0.05 0 0 0.45 0
+1048576 0 1 0 0 5242880 5242880 7864320 0.05 0 0 0.5 0
+
+
+# iteration 1048576
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 2 0 0 5242880 5242880 3932160 0.05 0 0 -0.25 0
+1048576 0 2 0 0 5242880 5242880 4063232 0.05 0 0 -0.225 0
+1048576 0 2 0 0 5242880 5242880 4194304 0.05 0 0 -0.2 0
+1048576 0 2 0 0 5242880 5242880 4325376 0.05 0 0 -0.175 0
+1048576 0 2 0 0 5242880 5242880 4456448 0.05 0 0 -0.15 0
+1048576 0 2 0 0 5242880 5242880 4587520 0.05 0 0 -0.125 0
+1048576 0 2 0 0 5242880 5242880 4718592 0.05 0 0 -0.1 0
+1048576 0 2 0 0 5242880 5242880 4849664 0.05 0 0 -0.075 0
+1048576 0 2 0 0 5242880 5242880 4980736 0.05 0 0 -0.05 0
+1048576 0 2 0 0 5242880 5242880 5111808 0.05 0 0 -0.025 0
+1048576 0 2 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 2 0 0 5242880 5242880 5373952 0.05 0 0 0.025 0
+1048576 0 2 0 0 5242880 5242880 5505024 0.05 0 0 0.05 0
+1048576 0 2 0 0 5242880 5242880 5636096 0.05 0 0 0.075 0
+1048576 0 2 0 0 5242880 5242880 5767168 0.05 0 0 0.1 0
+1048576 0 2 0 0 5242880 5242880 5898240 0.05 0 0 0.125 0
+1048576 0 2 0 0 5242880 5242880 6029312 0.05 0 0 0.15 0
+1048576 0 2 0 0 5242880 5242880 6160384 0.05 0 0 0.175 0
+1048576 0 2 0 0 5242880 5242880 6291456 0.05 0 0 0.2 0
+1048576 0 2 0 0 5242880 5242880 6422528 0.05 0 0 0.225 0
+1048576 0 2 0 0 5242880 5242880 6553600 0.05 0 0 0.25 0
+
+
+# iteration 1179648
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 2 0 0 5242880 5242880 3932160 0.05625 0 0 -0.25 0
+1179648 0 2 0 0 5242880 5242880 4063232 0.05625 0 0 -0.225 0
+1179648 0 2 0 0 5242880 5242880 4194304 0.05625 0 0 -0.2 0
+1179648 0 2 0 0 5242880 5242880 4325376 0.05625 0 0 -0.175 0
+1179648 0 2 0 0 5242880 5242880 4456448 0.05625 0 0 -0.15 0
+1179648 0 2 0 0 5242880 5242880 4587520 0.05625 0 0 -0.125 0
+1179648 0 2 0 0 5242880 5242880 4718592 0.05625 0 0 -0.1 0
+1179648 0 2 0 0 5242880 5242880 4849664 0.05625 0 0 -0.075 0
+1179648 0 2 0 0 5242880 5242880 4980736 0.05625 0 0 -0.05 0
+1179648 0 2 0 0 5242880 5242880 5111808 0.05625 0 0 -0.025 0
+1179648 0 2 0 0 5242880 5242880 5242880 0.05625 0 0 0 0
+1179648 0 2 0 0 5242880 5242880 5373952 0.05625 0 0 0.025 0
+1179648 0 2 0 0 5242880 5242880 5505024 0.05625 0 0 0.05 0
+1179648 0 2 0 0 5242880 5242880 5636096 0.05625 0 0 0.075 0
+1179648 0 2 0 0 5242880 5242880 5767168 0.05625 0 0 0.1 0
+1179648 0 2 0 0 5242880 5242880 5898240 0.05625 0 0 0.125 0
+1179648 0 2 0 0 5242880 5242880 6029312 0.05625 0 0 0.15 0
+1179648 0 2 0 0 5242880 5242880 6160384 0.05625 0 0 0.175 0
+1179648 0 2 0 0 5242880 5242880 6291456 0.05625 0 0 0.2 0
+1179648 0 2 0 0 5242880 5242880 6422528 0.05625 0 0 0.225 0
+1179648 0 2 0 0 5242880 5242880 6553600 0.05625 0 0 0.25 0
+
+
+# iteration 1310720
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 1 0 0 5242880 5242880 2621440 0.0625 0 0 -0.5 0
+1310720 0 1 0 0 5242880 5242880 2883584 0.0625 0 0 -0.45 0
+1310720 0 1 0 0 5242880 5242880 3145728 0.0625 0 0 -0.4 0
+1310720 0 1 0 0 5242880 5242880 3407872 0.0625 0 0 -0.35 0
+1310720 0 1 0 0 5242880 5242880 3670016 0.0625 0 0 -0.3 0
+1310720 0 1 0 0 5242880 5242880 3932160 0.0625 0 0 -0.25 0
+1310720 0 1 0 0 5242880 5242880 4194304 0.0625 0 0 -0.2 0
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+1310720 0 1 0 0 5242880 5242880 4718592 0.0625 0 0 -0.1 0
+1310720 0 1 0 0 5242880 5242880 4980736 0.0625 0 0 -0.05 0
+1310720 0 1 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
+1310720 0 1 0 0 5242880 5242880 5505024 0.0625 0 0 0.05 0
+1310720 0 1 0 0 5242880 5242880 5767168 0.0625 0 0 0.1 0
+1310720 0 1 0 0 5242880 5242880 6029312 0.0625 0 0 0.15 0
+1310720 0 1 0 0 5242880 5242880 6291456 0.0625 0 0 0.2 0
+1310720 0 1 0 0 5242880 5242880 6553600 0.0625 0 0 0.25 0
+1310720 0 1 0 0 5242880 5242880 6815744 0.0625 0 0 0.3 0
+1310720 0 1 0 0 5242880 5242880 7077888 0.0625 0 0 0.35 0
+1310720 0 1 0 0 5242880 5242880 7340032 0.0625 0 0 0.4 0
+1310720 0 1 0 0 5242880 5242880 7602176 0.0625 0 0 0.45 0
+1310720 0 1 0 0 5242880 5242880 7864320 0.0625 0 0 0.5 0
+
+
+# iteration 1310720
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 2 0 0 5242880 5242880 3932160 0.0625 0 0 -0.25 0
+1310720 0 2 0 0 5242880 5242880 4063232 0.0625 0 0 -0.225 0
+1310720 0 2 0 0 5242880 5242880 4194304 0.0625 0 0 -0.2 0
+1310720 0 2 0 0 5242880 5242880 4325376 0.0625 0 0 -0.175 0
+1310720 0 2 0 0 5242880 5242880 4456448 0.0625 0 0 -0.15 0
+1310720 0 2 0 0 5242880 5242880 4587520 0.0625 0 0 -0.125 0
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+1310720 0 2 0 0 5242880 5242880 4980736 0.0625 0 0 -0.05 0
+1310720 0 2 0 0 5242880 5242880 5111808 0.0625 0 0 -0.025 0
+1310720 0 2 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
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+1310720 0 2 0 0 5242880 5242880 5505024 0.0625 0 0 0.05 0
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+1310720 0 2 0 0 5242880 5242880 5767168 0.0625 0 0 0.1 0
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+1310720 0 2 0 0 5242880 5242880 6029312 0.0625 0 0 0.15 0
+1310720 0 2 0 0 5242880 5242880 6160384 0.0625 0 0 0.175 0
+1310720 0 2 0 0 5242880 5242880 6291456 0.0625 0 0 0.2 0
+1310720 0 2 0 0 5242880 5242880 6422528 0.0625 0 0 0.225 0
+1310720 0 2 0 0 5242880 5242880 6553600 0.0625 0 0 0.25 0
+
+
+# iteration 1441792
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 2 0 0 5242880 5242880 3932160 0.06875 0 0 -0.25 0
+1441792 0 2 0 0 5242880 5242880 4063232 0.06875 0 0 -0.225 0
+1441792 0 2 0 0 5242880 5242880 4194304 0.06875 0 0 -0.2 0
+1441792 0 2 0 0 5242880 5242880 4325376 0.06875 0 0 -0.175 0
+1441792 0 2 0 0 5242880 5242880 4456448 0.06875 0 0 -0.15 0
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+1441792 0 2 0 0 5242880 5242880 4718592 0.06875 0 0 -0.1 0
+1441792 0 2 0 0 5242880 5242880 4849664 0.06875 0 0 -0.075 0
+1441792 0 2 0 0 5242880 5242880 4980736 0.06875 0 0 -0.05 0
+1441792 0 2 0 0 5242880 5242880 5111808 0.06875 0 0 -0.025 0
+1441792 0 2 0 0 5242880 5242880 5242880 0.06875 0 0 0 0
+1441792 0 2 0 0 5242880 5242880 5373952 0.06875 0 0 0.025 0
+1441792 0 2 0 0 5242880 5242880 5505024 0.06875 0 0 0.05 0
+1441792 0 2 0 0 5242880 5242880 5636096 0.06875 0 0 0.075 0
+1441792 0 2 0 0 5242880 5242880 5767168 0.06875 0 0 0.1 0
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+1441792 0 2 0 0 5242880 5242880 6029312 0.06875 0 0 0.15 0
+1441792 0 2 0 0 5242880 5242880 6160384 0.06875 0 0 0.175 0
+1441792 0 2 0 0 5242880 5242880 6291456 0.06875 0 0 0.2 0
+1441792 0 2 0 0 5242880 5242880 6422528 0.06875 0 0 0.225 0
+1441792 0 2 0 0 5242880 5242880 6553600 0.06875 0 0 0.25 0
+
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 5242880 5242880 0 0.075 0 0 -1 0
+1572864 0 0 0 0 5242880 5242880 524288 0.075 0 0 -0.9 0
+1572864 0 0 0 0 5242880 5242880 1048576 0.075 0 0 -0.8 0
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+1572864 0 0 0 0 5242880 5242880 2621440 0.075 0 0 -0.5 0
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+1572864 0 0 0 0 5242880 5242880 3670016 0.075 0 0 -0.3 0
+1572864 0 0 0 0 5242880 5242880 4194304 0.075 0 0 -0.2 0
+1572864 0 0 0 0 5242880 5242880 4718592 0.075 0 0 -0.1 0
+1572864 0 0 0 0 5242880 5242880 5242880 0.075 0 0 0 0
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+1572864 0 0 0 0 5242880 5242880 6291456 0.075 0 0 0.2 0
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+1572864 0 0 0 0 5242880 5242880 7340032 0.075 0 0 0.4 0
+1572864 0 0 0 0 5242880 5242880 7864320 0.075 0 0 0.5 0
+1572864 0 0 0 0 5242880 5242880 8388608 0.075 0 0 0.6 0
+1572864 0 0 0 0 5242880 5242880 8912896 0.075 0 0 0.7 0
+1572864 0 0 0 0 5242880 5242880 9437184 0.075 0 0 0.8 0
+1572864 0 0 0 0 5242880 5242880 9961472 0.075 0 0 0.9 0
+1572864 0 0 0 0 5242880 5242880 10485760 0.075 0 0 1 0
+
+
+# iteration 1572864
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 1 0 0 5242880 5242880 2621440 0.075 0 0 -0.5 0
+1572864 0 1 0 0 5242880 5242880 2883584 0.075 0 0 -0.45 0
+1572864 0 1 0 0 5242880 5242880 3145728 0.075 0 0 -0.4 0
+1572864 0 1 0 0 5242880 5242880 3407872 0.075 0 0 -0.35 0
+1572864 0 1 0 0 5242880 5242880 3670016 0.075 0 0 -0.3 0
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+1572864 0 1 0 0 5242880 5242880 4718592 0.075 0 0 -0.1 0
+1572864 0 1 0 0 5242880 5242880 4980736 0.075 0 0 -0.05 0
+1572864 0 1 0 0 5242880 5242880 5242880 0.075 0 0 0 0
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+1572864 0 1 0 0 5242880 5242880 5767168 0.075 0 0 0.1 0
+1572864 0 1 0 0 5242880 5242880 6029312 0.075 0 0 0.15 0
+1572864 0 1 0 0 5242880 5242880 6291456 0.075 0 0 0.2 0
+1572864 0 1 0 0 5242880 5242880 6553600 0.075 0 0 0.25 0
+1572864 0 1 0 0 5242880 5242880 6815744 0.075 0 0 0.3 0
+1572864 0 1 0 0 5242880 5242880 7077888 0.075 0 0 0.35 0
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+1572864 0 1 0 0 5242880 5242880 7602176 0.075 0 0 0.45 0
+1572864 0 1 0 0 5242880 5242880 7864320 0.075 0 0 0.5 0
+
+
+# iteration 1572864
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 2 0 0 5242880 5242880 3932160 0.075 0 0 -0.25 0
+1572864 0 2 0 0 5242880 5242880 4063232 0.075 0 0 -0.225 0
+1572864 0 2 0 0 5242880 5242880 4194304 0.075 0 0 -0.2 0
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+1572864 0 2 0 0 5242880 5242880 4456448 0.075 0 0 -0.15 0
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+1572864 0 2 0 0 5242880 5242880 4718592 0.075 0 0 -0.1 0
+1572864 0 2 0 0 5242880 5242880 4849664 0.075 0 0 -0.075 0
+1572864 0 2 0 0 5242880 5242880 4980736 0.075 0 0 -0.05 0
+1572864 0 2 0 0 5242880 5242880 5111808 0.075 0 0 -0.025 0
+1572864 0 2 0 0 5242880 5242880 5242880 0.075 0 0 0 0
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+1572864 0 2 0 0 5242880 5242880 5505024 0.075 0 0 0.05 0
+1572864 0 2 0 0 5242880 5242880 5636096 0.075 0 0 0.075 0
+1572864 0 2 0 0 5242880 5242880 5767168 0.075 0 0 0.1 0
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+1572864 0 2 0 0 5242880 5242880 6029312 0.075 0 0 0.15 0
+1572864 0 2 0 0 5242880 5242880 6160384 0.075 0 0 0.175 0
+1572864 0 2 0 0 5242880 5242880 6291456 0.075 0 0 0.2 0
+1572864 0 2 0 0 5242880 5242880 6422528 0.075 0 0 0.225 0
+1572864 0 2 0 0 5242880 5242880 6553600 0.075 0 0 0.25 0
+
+
+# iteration 1703936
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 2 0 0 5242880 5242880 3932160 0.08125 0 0 -0.25 0
+1703936 0 2 0 0 5242880 5242880 4063232 0.08125 0 0 -0.225 0
+1703936 0 2 0 0 5242880 5242880 4194304 0.08125 0 0 -0.2 0
+1703936 0 2 0 0 5242880 5242880 4325376 0.08125 0 0 -0.175 0
+1703936 0 2 0 0 5242880 5242880 4456448 0.08125 0 0 -0.15 0
+1703936 0 2 0 0 5242880 5242880 4587520 0.08125 0 0 -0.125 0
+1703936 0 2 0 0 5242880 5242880 4718592 0.08125 0 0 -0.1 0
+1703936 0 2 0 0 5242880 5242880 4849664 0.08125 0 0 -0.075 0
+1703936 0 2 0 0 5242880 5242880 4980736 0.08125 0 0 -0.05 0
+1703936 0 2 0 0 5242880 5242880 5111808 0.08125 0 0 -0.025 0
+1703936 0 2 0 0 5242880 5242880 5242880 0.08125 0 0 0 0
+1703936 0 2 0 0 5242880 5242880 5373952 0.08125 0 0 0.025 0
+1703936 0 2 0 0 5242880 5242880 5505024 0.08125 0 0 0.05 0
+1703936 0 2 0 0 5242880 5242880 5636096 0.08125 0 0 0.075 0
+1703936 0 2 0 0 5242880 5242880 5767168 0.08125 0 0 0.1 0
+1703936 0 2 0 0 5242880 5242880 5898240 0.08125 0 0 0.125 0
+1703936 0 2 0 0 5242880 5242880 6029312 0.08125 0 0 0.15 0
+1703936 0 2 0 0 5242880 5242880 6160384 0.08125 0 0 0.175 0
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+1703936 0 2 0 0 5242880 5242880 6422528 0.08125 0 0 0.225 0
+1703936 0 2 0 0 5242880 5242880 6553600 0.08125 0 0 0.25 0
+
+
+# iteration 1835008
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 1 0 0 5242880 5242880 2621440 0.0875 0 0 -0.5 0
+1835008 0 1 0 0 5242880 5242880 2883584 0.0875 0 0 -0.45 0
+1835008 0 1 0 0 5242880 5242880 3145728 0.0875 0 0 -0.4 0
+1835008 0 1 0 0 5242880 5242880 3407872 0.0875 0 0 -0.35 0
+1835008 0 1 0 0 5242880 5242880 3670016 0.0875 0 0 -0.3 0
+1835008 0 1 0 0 5242880 5242880 3932160 0.0875 0 0 -0.25 0
+1835008 0 1 0 0 5242880 5242880 4194304 0.0875 0 0 -0.2 0
+1835008 0 1 0 0 5242880 5242880 4456448 0.0875 0 0 -0.15 0
+1835008 0 1 0 0 5242880 5242880 4718592 0.0875 0 0 -0.1 0
+1835008 0 1 0 0 5242880 5242880 4980736 0.0875 0 0 -0.05 0
+1835008 0 1 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+1835008 0 1 0 0 5242880 5242880 5505024 0.0875 0 0 0.05 0
+1835008 0 1 0 0 5242880 5242880 5767168 0.0875 0 0 0.1 0
+1835008 0 1 0 0 5242880 5242880 6029312 0.0875 0 0 0.15 0
+1835008 0 1 0 0 5242880 5242880 6291456 0.0875 0 0 0.2 0
+1835008 0 1 0 0 5242880 5242880 6553600 0.0875 0 0 0.25 0
+1835008 0 1 0 0 5242880 5242880 6815744 0.0875 0 0 0.3 0
+1835008 0 1 0 0 5242880 5242880 7077888 0.0875 0 0 0.35 0
+1835008 0 1 0 0 5242880 5242880 7340032 0.0875 0 0 0.4 0
+1835008 0 1 0 0 5242880 5242880 7602176 0.0875 0 0 0.45 0
+1835008 0 1 0 0 5242880 5242880 7864320 0.0875 0 0 0.5 0
+
+
+# iteration 1835008
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 2 0 0 5242880 5242880 3932160 0.0875 0 0 -0.25 0
+1835008 0 2 0 0 5242880 5242880 4063232 0.0875 0 0 -0.225 0
+1835008 0 2 0 0 5242880 5242880 4194304 0.0875 0 0 -0.2 0
+1835008 0 2 0 0 5242880 5242880 4325376 0.0875 0 0 -0.175 0
+1835008 0 2 0 0 5242880 5242880 4456448 0.0875 0 0 -0.15 0
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+1835008 0 2 0 0 5242880 5242880 4718592 0.0875 0 0 -0.1 0
+1835008 0 2 0 0 5242880 5242880 4849664 0.0875 0 0 -0.075 0
+1835008 0 2 0 0 5242880 5242880 4980736 0.0875 0 0 -0.05 0
+1835008 0 2 0 0 5242880 5242880 5111808 0.0875 0 0 -0.025 0
+1835008 0 2 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+1835008 0 2 0 0 5242880 5242880 5373952 0.0875 0 0 0.025 0
+1835008 0 2 0 0 5242880 5242880 5505024 0.0875 0 0 0.05 0
+1835008 0 2 0 0 5242880 5242880 5636096 0.0875 0 0 0.075 0
+1835008 0 2 0 0 5242880 5242880 5767168 0.0875 0 0 0.1 0
+1835008 0 2 0 0 5242880 5242880 5898240 0.0875 0 0 0.125 0
+1835008 0 2 0 0 5242880 5242880 6029312 0.0875 0 0 0.15 0
+1835008 0 2 0 0 5242880 5242880 6160384 0.0875 0 0 0.175 0
+1835008 0 2 0 0 5242880 5242880 6291456 0.0875 0 0 0.2 0
+1835008 0 2 0 0 5242880 5242880 6422528 0.0875 0 0 0.225 0
+1835008 0 2 0 0 5242880 5242880 6553600 0.0875 0 0 0.25 0
+
+
+# iteration 1966080
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 2 0 0 5242880 5242880 3932160 0.09375 0 0 -0.25 0
+1966080 0 2 0 0 5242880 5242880 4063232 0.09375 0 0 -0.225 0
+1966080 0 2 0 0 5242880 5242880 4194304 0.09375 0 0 -0.2 0
+1966080 0 2 0 0 5242880 5242880 4325376 0.09375 0 0 -0.175 0
+1966080 0 2 0 0 5242880 5242880 4456448 0.09375 0 0 -0.15 0
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+1966080 0 2 0 0 5242880 5242880 4718592 0.09375 0 0 -0.1 0
+1966080 0 2 0 0 5242880 5242880 4849664 0.09375 0 0 -0.075 0
+1966080 0 2 0 0 5242880 5242880 4980736 0.09375 0 0 -0.05 0
+1966080 0 2 0 0 5242880 5242880 5111808 0.09375 0 0 -0.025 0
+1966080 0 2 0 0 5242880 5242880 5242880 0.09375 0 0 0 0
+1966080 0 2 0 0 5242880 5242880 5373952 0.09375 0 0 0.025 0
+1966080 0 2 0 0 5242880 5242880 5505024 0.09375 0 0 0.05 0
+1966080 0 2 0 0 5242880 5242880 5636096 0.09375 0 0 0.075 0
+1966080 0 2 0 0 5242880 5242880 5767168 0.09375 0 0 0.1 0
+1966080 0 2 0 0 5242880 5242880 5898240 0.09375 0 0 0.125 0
+1966080 0 2 0 0 5242880 5242880 6029312 0.09375 0 0 0.15 0
+1966080 0 2 0 0 5242880 5242880 6160384 0.09375 0 0 0.175 0
+1966080 0 2 0 0 5242880 5242880 6291456 0.09375 0 0 0.2 0
+1966080 0 2 0 0 5242880 5242880 6422528 0.09375 0 0 0.225 0
+1966080 0 2 0 0 5242880 5242880 6553600 0.09375 0 0 0.25 0
+
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 5242880 5242880 0 0.1 0 0 -1 0
+2097152 0 0 0 0 5242880 5242880 524288 0.1 0 0 -0.9 0
+2097152 0 0 0 0 5242880 5242880 1048576 0.1 0 0 -0.8 0
+2097152 0 0 0 0 5242880 5242880 1572864 0.1 0 0 -0.7 0
+2097152 0 0 0 0 5242880 5242880 2097152 0.1 0 0 -0.6 0
+2097152 0 0 0 0 5242880 5242880 2621440 0.1 0 0 -0.5 0
+2097152 0 0 0 0 5242880 5242880 3145728 0.1 0 0 -0.4 0
+2097152 0 0 0 0 5242880 5242880 3670016 0.1 0 0 -0.3 0
+2097152 0 0 0 0 5242880 5242880 4194304 0.1 0 0 -0.2 0
+2097152 0 0 0 0 5242880 5242880 4718592 0.1 0 0 -0.1 0
+2097152 0 0 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 0 0 0 5242880 5242880 5767168 0.1 0 0 0.1 0
+2097152 0 0 0 0 5242880 5242880 6291456 0.1 0 0 0.2 0
+2097152 0 0 0 0 5242880 5242880 6815744 0.1 0 0 0.3 0
+2097152 0 0 0 0 5242880 5242880 7340032 0.1 0 0 0.4 0
+2097152 0 0 0 0 5242880 5242880 7864320 0.1 0 0 0.5 0
+2097152 0 0 0 0 5242880 5242880 8388608 0.1 0 0 0.6 0
+2097152 0 0 0 0 5242880 5242880 8912896 0.1 0 0 0.7 0
+2097152 0 0 0 0 5242880 5242880 9437184 0.1 0 0 0.8 0
+2097152 0 0 0 0 5242880 5242880 9961472 0.1 0 0 0.9 0
+2097152 0 0 0 0 5242880 5242880 10485760 0.1 0 0 1 0
+
+
+# iteration 2097152
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 1 0 0 5242880 5242880 2621440 0.1 0 0 -0.5 0
+2097152 0 1 0 0 5242880 5242880 2883584 0.1 0 0 -0.45 0
+2097152 0 1 0 0 5242880 5242880 3145728 0.1 0 0 -0.4 0
+2097152 0 1 0 0 5242880 5242880 3407872 0.1 0 0 -0.35 0
+2097152 0 1 0 0 5242880 5242880 3670016 0.1 0 0 -0.3 0
+2097152 0 1 0 0 5242880 5242880 3932160 0.1 0 0 -0.25 0
+2097152 0 1 0 0 5242880 5242880 4194304 0.1 0 0 -0.2 0
+2097152 0 1 0 0 5242880 5242880 4456448 0.1 0 0 -0.15 0
+2097152 0 1 0 0 5242880 5242880 4718592 0.1 0 0 -0.1 0
+2097152 0 1 0 0 5242880 5242880 4980736 0.1 0 0 -0.05 0
+2097152 0 1 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 1 0 0 5242880 5242880 5505024 0.1 0 0 0.05 0
+2097152 0 1 0 0 5242880 5242880 5767168 0.1 0 0 0.1 0
+2097152 0 1 0 0 5242880 5242880 6029312 0.1 0 0 0.15 0
+2097152 0 1 0 0 5242880 5242880 6291456 0.1 0 0 0.2 0
+2097152 0 1 0 0 5242880 5242880 6553600 0.1 0 0 0.25 0
+2097152 0 1 0 0 5242880 5242880 6815744 0.1 0 0 0.3 0
+2097152 0 1 0 0 5242880 5242880 7077888 0.1 0 0 0.35 0
+2097152 0 1 0 0 5242880 5242880 7340032 0.1 0 0 0.4 0
+2097152 0 1 0 0 5242880 5242880 7602176 0.1 0 0 0.45 0
+2097152 0 1 0 0 5242880 5242880 7864320 0.1 0 0 0.5 0
+
+
+# iteration 2097152
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 2 0 0 5242880 5242880 3932160 0.1 0 0 -0.25 0
+2097152 0 2 0 0 5242880 5242880 4063232 0.1 0 0 -0.225 0
+2097152 0 2 0 0 5242880 5242880 4194304 0.1 0 0 -0.2 0
+2097152 0 2 0 0 5242880 5242880 4325376 0.1 0 0 -0.175 0
+2097152 0 2 0 0 5242880 5242880 4456448 0.1 0 0 -0.15 0
+2097152 0 2 0 0 5242880 5242880 4587520 0.1 0 0 -0.125 0
+2097152 0 2 0 0 5242880 5242880 4718592 0.1 0 0 -0.1 0
+2097152 0 2 0 0 5242880 5242880 4849664 0.1 0 0 -0.075 0
+2097152 0 2 0 0 5242880 5242880 4980736 0.1 0 0 -0.05 0
+2097152 0 2 0 0 5242880 5242880 5111808 0.1 0 0 -0.025 0
+2097152 0 2 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 2 0 0 5242880 5242880 5373952 0.1 0 0 0.025 0
+2097152 0 2 0 0 5242880 5242880 5505024 0.1 0 0 0.05 0
+2097152 0 2 0 0 5242880 5242880 5636096 0.1 0 0 0.075 0
+2097152 0 2 0 0 5242880 5242880 5767168 0.1 0 0 0.1 0
+2097152 0 2 0 0 5242880 5242880 5898240 0.1 0 0 0.125 0
+2097152 0 2 0 0 5242880 5242880 6029312 0.1 0 0 0.15 0
+2097152 0 2 0 0 5242880 5242880 6160384 0.1 0 0 0.175 0
+2097152 0 2 0 0 5242880 5242880 6291456 0.1 0 0 0.2 0
+2097152 0 2 0 0 5242880 5242880 6422528 0.1 0 0 0.225 0
+2097152 0 2 0 0 5242880 5242880 6553600 0.1 0 0 0.25 0
+
+
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiz..asc b/Carpet/CarpetInterp/test/waveinterp/phiz..asc
new file mode 100644
index 000000000..b938ba3ed
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiz..asc
@@ -0,0 +1,157 @@
+# WAVEMOL::phiz (phiz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 5242880 5242880 5242880 0 0 0 0 0
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 5242880 5242880 5242880 0 0 0 0 0
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 5242880 5242880 5242880 0 0 0 0 0
+
+# iteration 131072
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 2 0 0 5242880 5242880 5242880 0.00625 0 0 0 0
+
+# iteration 262144
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 1 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+
+# iteration 262144
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 2 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+
+# iteration 393216
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 2 0 0 5242880 5242880 5242880 0.01875 0 0 0 0
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+
+# iteration 524288
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 1 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+
+# iteration 524288
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 2 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+
+# iteration 655360
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 2 0 0 5242880 5242880 5242880 0.03125 0 0 0 0
+
+# iteration 786432
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 1 0 0 5242880 5242880 5242880 0.0375 0 0 0 0
+
+# iteration 786432
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 2 0 0 5242880 5242880 5242880 0.0375 0 0 0 0
+
+# iteration 917504
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 2 0 0 5242880 5242880 5242880 0.04375 0 0 0 0
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+
+# iteration 1048576
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 1 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+
+# iteration 1048576
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 2 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+
+# iteration 1179648
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 2 0 0 5242880 5242880 5242880 0.05625 0 0 0 0
+
+# iteration 1310720
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 1 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
+
+# iteration 1310720
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 2 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
+
+# iteration 1441792
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 2 0 0 5242880 5242880 5242880 0.06875 0 0 0 0
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+
+# iteration 1572864
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 1 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+
+# iteration 1572864
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 2 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+
+# iteration 1703936
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 2 0 0 5242880 5242880 5242880 0.08125 0 0 0 0
+
+# iteration 1835008
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 1 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+
+# iteration 1835008
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 2 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+
+# iteration 1966080
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 2 0 0 5242880 5242880 5242880 0.09375 0 0 0 0
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+
+# iteration 2097152
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 1 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+
+# iteration 2097152
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 2 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiz.average.asc b/Carpet/CarpetInterp/test/waveinterp/phiz.average.asc
new file mode 100644
index 000000000..fdac5eceb
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiz.average.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phiz (phiz)
+# iteration time data
+0 0 0
+131072 0.00625 -4.31055686718107e-28
+262144 0.0125 1.97543786872278e-28
+393216 0.01875 -3.36315957191392e-28
+524288 0.025 -2.28706553641676e-29
+655360 0.03125 4.46053510248169e-29
+786432 0.0375 6.59777376628402e-30
+917504 0.04375 5.43241173771398e-29
+1048576 0.05 -1.02955025601299e-28
+1179648 0.05625 1.41642046292309e-28
+1310720 0.0625 4.23095685753974e-30
+1441792 0.06875 -1.47532766494434e-29
+1572864 0.075 2.56533622073347e-29
+1703936 0.08125 -3.22222069651101e-29
+1835008 0.0875 4.50084589473848e-30
+1966080 0.09375 3.44325952215393e-29
+2097152 0.1 -4.57505404009262e-28
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiz.count.asc b/Carpet/CarpetInterp/test/waveinterp/phiz.count.asc
new file mode 100644
index 000000000..633f23024
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiz.count.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phiz (phiz)
+# iteration time data
+0 0 8000
+131072 0.00625 8000
+262144 0.0125 8000
+393216 0.01875 8000
+524288 0.025 8000
+655360 0.03125 8000
+786432 0.0375 8000
+917504 0.04375 8000
+1048576 0.05 8000
+1179648 0.05625 8000
+1310720 0.0625 8000
+1441792 0.06875 8000
+1572864 0.075 8000
+1703936 0.08125 8000
+1835008 0.0875 8000
+1966080 0.09375 8000
+2097152 0.1 8000
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiz.maximum.asc b/Carpet/CarpetInterp/test/waveinterp/phiz.maximum.asc
new file mode 100644
index 000000000..aa3fe83ab
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiz.maximum.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phiz (phiz)
+# iteration time data
+0 0 0
+131072 0.00625 2.52330210059881e-08
+262144 0.0125 2.59751686828268e-09
+393216 0.01875 1.94813765121201e-09
+524288 0.025 1.13718142310167e-09
+655360 0.03125 1.49819814627278e-09
+786432 0.0375 1.92004376518377e-09
+917504 0.04375 2.25411963198039e-09
+1048576 0.05 2.51675670350412e-09
+1179648 0.05625 2.6865148826614e-09
+1310720 0.0625 2.77054086848342e-09
+1441792 0.06875 2.7710016315662e-09
+1572864 0.075 2.71062697591515e-09
+1703936 0.08125 2.68229908058895e-09
+1835008 0.0875 2.6295740571891e-09
+1966080 0.09375 2.53181084986157e-09
+2097152 0.1 2.41338321187977e-09
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiz.minimum.asc b/Carpet/CarpetInterp/test/waveinterp/phiz.minimum.asc
new file mode 100644
index 000000000..eb5814233
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiz.minimum.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phiz (phiz)
+# iteration time data
+0 0 0
+131072 0.00625 -2.52330210059881e-08
+262144 0.0125 -2.59751686828268e-09
+393216 0.01875 -1.94813765121201e-09
+524288 0.025 -1.13718142310167e-09
+655360 0.03125 -1.49819814627278e-09
+786432 0.0375 -1.92004376518377e-09
+917504 0.04375 -2.25411963198039e-09
+1048576 0.05 -2.51675670350412e-09
+1179648 0.05625 -2.6865148826614e-09
+1310720 0.0625 -2.77054086848342e-09
+1441792 0.06875 -2.7710016315662e-09
+1572864 0.075 -2.71062697591515e-09
+1703936 0.08125 -2.68229908058895e-09
+1835008 0.0875 -2.6295740571891e-09
+1966080 0.09375 -2.53181084986157e-09
+2097152 0.1 -2.41338321187977e-09
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiz.norm1.asc b/Carpet/CarpetInterp/test/waveinterp/phiz.norm1.asc
new file mode 100644
index 000000000..946c7d638
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiz.norm1.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phiz (phiz)
+# iteration time data
+0 0 0
+131072 0.00625 1.82764093220369e-11
+262144 0.0125 7.34649051893125e-12
+393216 0.01875 5.91041345682556e-12
+524288 0.025 1.24242890027223e-12
+655360 0.03125 2.57713743237751e-12
+786432 0.0375 2.36124801524173e-12
+917504 0.04375 2.98057299551699e-12
+1048576 0.05 3.03589049525507e-12
+1179648 0.05625 3.36169643546458e-12
+1310720 0.0625 3.61334864722836e-12
+1441792 0.06875 3.8408932292432e-12
+1572864 0.075 3.76844870942376e-12
+1703936 0.08125 3.84025109025805e-12
+1835008 0.0875 3.8614764081443e-12
+1966080 0.09375 3.97285273972385e-12
+2097152 0.1 4.30036623573869e-12
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiz.norm2.asc b/Carpet/CarpetInterp/test/waveinterp/phiz.norm2.asc
new file mode 100644
index 000000000..ea8e612f8
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiz.norm2.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phiz (phiz)
+# iteration time data
+0 0 0
+131072 0.00625 5.18343779507329e-10
+262144 0.0125 1.13025459173354e-10
+393216 0.01875 8.58024498955012e-11
+524288 0.025 2.48311121202448e-11
+655360 0.03125 3.76969874645363e-11
+786432 0.0375 4.28591265832084e-11
+917504 0.04375 5.05689775131338e-11
+1048576 0.05 5.53837109993038e-11
+1179648 0.05625 5.97816057638341e-11
+1310720 0.0625 6.21626122183975e-11
+1441792 0.06875 6.40118017073293e-11
+1572864 0.075 6.41185856980847e-11
+1703936 0.08125 6.40670662348223e-11
+1835008 0.0875 6.32168941306763e-11
+1966080 0.09375 6.2560957347294e-11
+2097152 0.1 6.19448146789363e-11
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiz.norm_inf.asc b/Carpet/CarpetInterp/test/waveinterp/phiz.norm_inf.asc
new file mode 100644
index 000000000..aa3fe83ab
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiz.norm_inf.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phiz (phiz)
+# iteration time data
+0 0 0
+131072 0.00625 2.52330210059881e-08
+262144 0.0125 2.59751686828268e-09
+393216 0.01875 1.94813765121201e-09
+524288 0.025 1.13718142310167e-09
+655360 0.03125 1.49819814627278e-09
+786432 0.0375 1.92004376518377e-09
+917504 0.04375 2.25411963198039e-09
+1048576 0.05 2.51675670350412e-09
+1179648 0.05625 2.6865148826614e-09
+1310720 0.0625 2.77054086848342e-09
+1441792 0.06875 2.7710016315662e-09
+1572864 0.075 2.71062697591515e-09
+1703936 0.08125 2.68229908058895e-09
+1835008 0.0875 2.6295740571891e-09
+1966080 0.09375 2.53181084986157e-09
+2097152 0.1 2.41338321187977e-09
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiz.sum.asc b/Carpet/CarpetInterp/test/waveinterp/phiz.sum.asc
new file mode 100644
index 000000000..c9dff4e81
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiz.sum.asc
@@ -0,0 +1,19 @@
+# WAVEMOL::phiz (phiz)
+# iteration time data
+0 0 0
+131072 0.00625 -3.44844549374486e-24
+262144 0.0125 1.58035029497822e-24
+393216 0.01875 -2.69052765753114e-24
+524288 0.025 -1.82965242913341e-25
+655360 0.03125 3.56842808198535e-25
+786432 0.0375 5.27821901302721e-26
+917504 0.04375 4.34592939017118e-25
+1048576 0.05 -8.23640204810396e-25
+1179648 0.05625 1.13313637033847e-24
+1310720 0.0625 3.3847654860318e-26
+1441792 0.06875 -1.18026213195547e-25
+1572864 0.075 2.05226897658678e-25
+1703936 0.08125 -2.5777765572088e-25
+1835008 0.0875 3.60067671579079e-26
+1966080 0.09375 2.75460761772315e-25
+2097152 0.1 -3.6600432320741e-24
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiz.x.asc b/Carpet/CarpetInterp/test/waveinterp/phiz.x.asc
new file mode 100644
index 000000000..d4e4efb6e
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiz.x.asc
@@ -0,0 +1,808 @@
+# WAVEMOL::phiz x (phiz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 5242880 5242880 0 -1 0 0 0
+0 0 0 0 0 524288 5242880 5242880 0 -0.9 0 0 0
+0 0 0 0 0 1048576 5242880 5242880 0 -0.8 0 0 0
+0 0 0 0 0 1572864 5242880 5242880 0 -0.7 0 0 0
+0 0 0 0 0 2097152 5242880 5242880 0 -0.6 0 0 0
+0 0 0 0 0 2621440 5242880 5242880 0 -0.5 0 0 0
+0 0 0 0 0 3145728 5242880 5242880 0 -0.4 0 0 0
+0 0 0 0 0 3670016 5242880 5242880 0 -0.3 0 0 0
+0 0 0 0 0 4194304 5242880 5242880 0 -0.2 0 0 0
+0 0 0 0 0 4718592 5242880 5242880 0 -0.1 0 0 0
+0 0 0 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 0 0 0 5767168 5242880 5242880 0 0.1 0 0 0
+0 0 0 0 0 6291456 5242880 5242880 0 0.2 0 0 0
+0 0 0 0 0 6815744 5242880 5242880 0 0.3 0 0 0
+0 0 0 0 0 7340032 5242880 5242880 0 0.4 0 0 0
+0 0 0 0 0 7864320 5242880 5242880 0 0.5 0 0 0
+0 0 0 0 0 8388608 5242880 5242880 0 0.6 0 0 0
+0 0 0 0 0 8912896 5242880 5242880 0 0.7 0 0 0
+0 0 0 0 0 9437184 5242880 5242880 0 0.8 0 0 0
+0 0 0 0 0 9961472 5242880 5242880 0 0.9 0 0 0
+0 0 0 0 0 10485760 5242880 5242880 0 1 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 2621440 5242880 5242880 0 -0.5 0 0 0
+0 0 1 0 0 2883584 5242880 5242880 0 -0.45 0 0 0
+0 0 1 0 0 3145728 5242880 5242880 0 -0.4 0 0 0
+0 0 1 0 0 3407872 5242880 5242880 0 -0.35 0 0 0
+0 0 1 0 0 3670016 5242880 5242880 0 -0.3 0 0 0
+0 0 1 0 0 3932160 5242880 5242880 0 -0.25 0 0 0
+0 0 1 0 0 4194304 5242880 5242880 0 -0.2 0 0 0
+0 0 1 0 0 4456448 5242880 5242880 0 -0.15 0 0 0
+0 0 1 0 0 4718592 5242880 5242880 0 -0.1 0 0 0
+0 0 1 0 0 4980736 5242880 5242880 0 -0.05 0 0 0
+0 0 1 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 1 0 0 5505024 5242880 5242880 0 0.05 0 0 0
+0 0 1 0 0 5767168 5242880 5242880 0 0.1 0 0 0
+0 0 1 0 0 6029312 5242880 5242880 0 0.15 0 0 0
+0 0 1 0 0 6291456 5242880 5242880 0 0.2 0 0 0
+0 0 1 0 0 6553600 5242880 5242880 0 0.25 0 0 0
+0 0 1 0 0 6815744 5242880 5242880 0 0.3 0 0 0
+0 0 1 0 0 7077888 5242880 5242880 0 0.35 0 0 0
+0 0 1 0 0 7340032 5242880 5242880 0 0.4 0 0 0
+0 0 1 0 0 7602176 5242880 5242880 0 0.45 0 0 0
+0 0 1 0 0 7864320 5242880 5242880 0 0.5 0 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 3932160 5242880 5242880 0 -0.25 0 0 0
+0 0 2 0 0 4063232 5242880 5242880 0 -0.225 0 0 0
+0 0 2 0 0 4194304 5242880 5242880 0 -0.2 0 0 0
+0 0 2 0 0 4325376 5242880 5242880 0 -0.175 0 0 0
+0 0 2 0 0 4456448 5242880 5242880 0 -0.15 0 0 0
+0 0 2 0 0 4587520 5242880 5242880 0 -0.125 0 0 0
+0 0 2 0 0 4718592 5242880 5242880 0 -0.1 0 0 0
+0 0 2 0 0 4849664 5242880 5242880 0 -0.075 0 0 0
+0 0 2 0 0 4980736 5242880 5242880 0 -0.05 0 0 0
+0 0 2 0 0 5111808 5242880 5242880 0 -0.025 0 0 0
+0 0 2 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 2 0 0 5373952 5242880 5242880 0 0.025 0 0 0
+0 0 2 0 0 5505024 5242880 5242880 0 0.05 0 0 0
+0 0 2 0 0 5636096 5242880 5242880 0 0.075 0 0 0
+0 0 2 0 0 5767168 5242880 5242880 0 0.1 0 0 0
+0 0 2 0 0 5898240 5242880 5242880 0 0.125 0 0 0
+0 0 2 0 0 6029312 5242880 5242880 0 0.15 0 0 0
+0 0 2 0 0 6160384 5242880 5242880 0 0.175 0 0 0
+0 0 2 0 0 6291456 5242880 5242880 0 0.2 0 0 0
+0 0 2 0 0 6422528 5242880 5242880 0 0.225 0 0 0
+0 0 2 0 0 6553600 5242880 5242880 0 0.25 0 0 0
+
+
+# iteration 131072
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 2 0 0 3932160 5242880 5242880 0.00625 -0.25 0 0 0
+131072 0 2 0 0 4063232 5242880 5242880 0.00625 -0.225 0 0 0
+131072 0 2 0 0 4194304 5242880 5242880 0.00625 -0.2 0 0 0
+131072 0 2 0 0 4325376 5242880 5242880 0.00625 -0.175 0 0 0
+131072 0 2 0 0 4456448 5242880 5242880 0.00625 -0.15 0 0 0
+131072 0 2 0 0 4587520 5242880 5242880 0.00625 -0.125 0 0 0
+131072 0 2 0 0 4718592 5242880 5242880 0.00625 -0.1 0 0 0
+131072 0 2 0 0 4849664 5242880 5242880 0.00625 -0.075 0 0 0
+131072 0 2 0 0 4980736 5242880 5242880 0.00625 -0.05 0 0 0
+131072 0 2 0 0 5111808 5242880 5242880 0.00625 -0.025 0 0 0
+131072 0 2 0 0 5242880 5242880 5242880 0.00625 0 0 0 0
+131072 0 2 0 0 5373952 5242880 5242880 0.00625 0.025 0 0 0
+131072 0 2 0 0 5505024 5242880 5242880 0.00625 0.05 0 0 0
+131072 0 2 0 0 5636096 5242880 5242880 0.00625 0.075 0 0 0
+131072 0 2 0 0 5767168 5242880 5242880 0.00625 0.1 0 0 0
+131072 0 2 0 0 5898240 5242880 5242880 0.00625 0.125 0 0 0
+131072 0 2 0 0 6029312 5242880 5242880 0.00625 0.15 0 0 0
+131072 0 2 0 0 6160384 5242880 5242880 0.00625 0.175 0 0 0
+131072 0 2 0 0 6291456 5242880 5242880 0.00625 0.2 0 0 0
+131072 0 2 0 0 6422528 5242880 5242880 0.00625 0.225 0 0 0
+131072 0 2 0 0 6553600 5242880 5242880 0.00625 0.25 0 0 0
+
+
+# iteration 262144
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 1 0 0 2621440 5242880 5242880 0.0125 -0.5 0 0 0
+262144 0 1 0 0 2883584 5242880 5242880 0.0125 -0.45 0 0 0
+262144 0 1 0 0 3145728 5242880 5242880 0.0125 -0.4 0 0 0
+262144 0 1 0 0 3407872 5242880 5242880 0.0125 -0.35 0 0 0
+262144 0 1 0 0 3670016 5242880 5242880 0.0125 -0.3 0 0 0
+262144 0 1 0 0 3932160 5242880 5242880 0.0125 -0.25 0 0 0
+262144 0 1 0 0 4194304 5242880 5242880 0.0125 -0.2 0 0 0
+262144 0 1 0 0 4456448 5242880 5242880 0.0125 -0.15 0 0 0
+262144 0 1 0 0 4718592 5242880 5242880 0.0125 -0.1 0 0 0
+262144 0 1 0 0 4980736 5242880 5242880 0.0125 -0.05 0 0 0
+262144 0 1 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+262144 0 1 0 0 5505024 5242880 5242880 0.0125 0.05 0 0 0
+262144 0 1 0 0 5767168 5242880 5242880 0.0125 0.1 0 0 0
+262144 0 1 0 0 6029312 5242880 5242880 0.0125 0.15 0 0 0
+262144 0 1 0 0 6291456 5242880 5242880 0.0125 0.2 0 0 0
+262144 0 1 0 0 6553600 5242880 5242880 0.0125 0.25 0 0 0
+262144 0 1 0 0 6815744 5242880 5242880 0.0125 0.3 0 0 0
+262144 0 1 0 0 7077888 5242880 5242880 0.0125 0.35 0 0 0
+262144 0 1 0 0 7340032 5242880 5242880 0.0125 0.4 0 0 0
+262144 0 1 0 0 7602176 5242880 5242880 0.0125 0.45 0 0 0
+262144 0 1 0 0 7864320 5242880 5242880 0.0125 0.5 0 0 0
+
+
+# iteration 262144
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 2 0 0 3932160 5242880 5242880 0.0125 -0.25 0 0 0
+262144 0 2 0 0 4063232 5242880 5242880 0.0125 -0.225 0 0 0
+262144 0 2 0 0 4194304 5242880 5242880 0.0125 -0.2 0 0 0
+262144 0 2 0 0 4325376 5242880 5242880 0.0125 -0.175 0 0 0
+262144 0 2 0 0 4456448 5242880 5242880 0.0125 -0.15 0 0 0
+262144 0 2 0 0 4587520 5242880 5242880 0.0125 -0.125 0 0 0
+262144 0 2 0 0 4718592 5242880 5242880 0.0125 -0.1 0 0 0
+262144 0 2 0 0 4849664 5242880 5242880 0.0125 -0.075 0 0 0
+262144 0 2 0 0 4980736 5242880 5242880 0.0125 -0.05 0 0 0
+262144 0 2 0 0 5111808 5242880 5242880 0.0125 -0.025 0 0 0
+262144 0 2 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+262144 0 2 0 0 5373952 5242880 5242880 0.0125 0.025 0 0 0
+262144 0 2 0 0 5505024 5242880 5242880 0.0125 0.05 0 0 0
+262144 0 2 0 0 5636096 5242880 5242880 0.0125 0.075 0 0 0
+262144 0 2 0 0 5767168 5242880 5242880 0.0125 0.1 0 0 0
+262144 0 2 0 0 5898240 5242880 5242880 0.0125 0.125 0 0 0
+262144 0 2 0 0 6029312 5242880 5242880 0.0125 0.15 0 0 0
+262144 0 2 0 0 6160384 5242880 5242880 0.0125 0.175 0 0 0
+262144 0 2 0 0 6291456 5242880 5242880 0.0125 0.2 0 0 0
+262144 0 2 0 0 6422528 5242880 5242880 0.0125 0.225 0 0 0
+262144 0 2 0 0 6553600 5242880 5242880 0.0125 0.25 0 0 0
+
+
+# iteration 393216
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 2 0 0 3932160 5242880 5242880 0.01875 -0.25 0 0 0
+393216 0 2 0 0 4063232 5242880 5242880 0.01875 -0.225 0 0 0
+393216 0 2 0 0 4194304 5242880 5242880 0.01875 -0.2 0 0 0
+393216 0 2 0 0 4325376 5242880 5242880 0.01875 -0.175 0 0 0
+393216 0 2 0 0 4456448 5242880 5242880 0.01875 -0.15 0 0 0
+393216 0 2 0 0 4587520 5242880 5242880 0.01875 -0.125 0 0 0
+393216 0 2 0 0 4718592 5242880 5242880 0.01875 -0.1 0 0 0
+393216 0 2 0 0 4849664 5242880 5242880 0.01875 -0.075 0 0 0
+393216 0 2 0 0 4980736 5242880 5242880 0.01875 -0.05 0 0 0
+393216 0 2 0 0 5111808 5242880 5242880 0.01875 -0.025 0 0 0
+393216 0 2 0 0 5242880 5242880 5242880 0.01875 0 0 0 0
+393216 0 2 0 0 5373952 5242880 5242880 0.01875 0.025 0 0 0
+393216 0 2 0 0 5505024 5242880 5242880 0.01875 0.05 0 0 0
+393216 0 2 0 0 5636096 5242880 5242880 0.01875 0.075 0 0 0
+393216 0 2 0 0 5767168 5242880 5242880 0.01875 0.1 0 0 0
+393216 0 2 0 0 5898240 5242880 5242880 0.01875 0.125 0 0 0
+393216 0 2 0 0 6029312 5242880 5242880 0.01875 0.15 0 0 0
+393216 0 2 0 0 6160384 5242880 5242880 0.01875 0.175 0 0 0
+393216 0 2 0 0 6291456 5242880 5242880 0.01875 0.2 0 0 0
+393216 0 2 0 0 6422528 5242880 5242880 0.01875 0.225 0 0 0
+393216 0 2 0 0 6553600 5242880 5242880 0.01875 0.25 0 0 0
+
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 0 5242880 5242880 0.025 -1 0 0 0
+524288 0 0 0 0 524288 5242880 5242880 0.025 -0.9 0 0 0
+524288 0 0 0 0 1048576 5242880 5242880 0.025 -0.8 0 0 0
+524288 0 0 0 0 1572864 5242880 5242880 0.025 -0.7 0 0 0
+524288 0 0 0 0 2097152 5242880 5242880 0.025 -0.6 0 0 0
+524288 0 0 0 0 2621440 5242880 5242880 0.025 -0.5 0 0 0
+524288 0 0 0 0 3145728 5242880 5242880 0.025 -0.4 0 0 0
+524288 0 0 0 0 3670016 5242880 5242880 0.025 -0.3 0 0 0
+524288 0 0 0 0 4194304 5242880 5242880 0.025 -0.2 0 0 0
+524288 0 0 0 0 4718592 5242880 5242880 0.025 -0.1 0 0 0
+524288 0 0 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 0 0 0 5767168 5242880 5242880 0.025 0.1 0 0 0
+524288 0 0 0 0 6291456 5242880 5242880 0.025 0.2 0 0 0
+524288 0 0 0 0 6815744 5242880 5242880 0.025 0.3 0 0 0
+524288 0 0 0 0 7340032 5242880 5242880 0.025 0.4 0 0 0
+524288 0 0 0 0 7864320 5242880 5242880 0.025 0.5 0 0 0
+524288 0 0 0 0 8388608 5242880 5242880 0.025 0.6 0 0 0
+524288 0 0 0 0 8912896 5242880 5242880 0.025 0.7 0 0 0
+524288 0 0 0 0 9437184 5242880 5242880 0.025 0.8 0 0 0
+524288 0 0 0 0 9961472 5242880 5242880 0.025 0.9 0 0 0
+524288 0 0 0 0 10485760 5242880 5242880 0.025 1 0 0 0
+
+
+# iteration 524288
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 1 0 0 2621440 5242880 5242880 0.025 -0.5 0 0 0
+524288 0 1 0 0 2883584 5242880 5242880 0.025 -0.45 0 0 0
+524288 0 1 0 0 3145728 5242880 5242880 0.025 -0.4 0 0 0
+524288 0 1 0 0 3407872 5242880 5242880 0.025 -0.35 0 0 0
+524288 0 1 0 0 3670016 5242880 5242880 0.025 -0.3 0 0 0
+524288 0 1 0 0 3932160 5242880 5242880 0.025 -0.25 0 0 0
+524288 0 1 0 0 4194304 5242880 5242880 0.025 -0.2 0 0 0
+524288 0 1 0 0 4456448 5242880 5242880 0.025 -0.15 0 0 0
+524288 0 1 0 0 4718592 5242880 5242880 0.025 -0.1 0 0 0
+524288 0 1 0 0 4980736 5242880 5242880 0.025 -0.05 0 0 0
+524288 0 1 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 1 0 0 5505024 5242880 5242880 0.025 0.05 0 0 0
+524288 0 1 0 0 5767168 5242880 5242880 0.025 0.1 0 0 0
+524288 0 1 0 0 6029312 5242880 5242880 0.025 0.15 0 0 0
+524288 0 1 0 0 6291456 5242880 5242880 0.025 0.2 0 0 0
+524288 0 1 0 0 6553600 5242880 5242880 0.025 0.25 0 0 0
+524288 0 1 0 0 6815744 5242880 5242880 0.025 0.3 0 0 0
+524288 0 1 0 0 7077888 5242880 5242880 0.025 0.35 0 0 0
+524288 0 1 0 0 7340032 5242880 5242880 0.025 0.4 0 0 0
+524288 0 1 0 0 7602176 5242880 5242880 0.025 0.45 0 0 0
+524288 0 1 0 0 7864320 5242880 5242880 0.025 0.5 0 0 0
+
+
+# iteration 524288
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 2 0 0 3932160 5242880 5242880 0.025 -0.25 0 0 0
+524288 0 2 0 0 4063232 5242880 5242880 0.025 -0.225 0 0 0
+524288 0 2 0 0 4194304 5242880 5242880 0.025 -0.2 0 0 0
+524288 0 2 0 0 4325376 5242880 5242880 0.025 -0.175 0 0 0
+524288 0 2 0 0 4456448 5242880 5242880 0.025 -0.15 0 0 0
+524288 0 2 0 0 4587520 5242880 5242880 0.025 -0.125 0 0 0
+524288 0 2 0 0 4718592 5242880 5242880 0.025 -0.1 0 0 0
+524288 0 2 0 0 4849664 5242880 5242880 0.025 -0.075 0 0 0
+524288 0 2 0 0 4980736 5242880 5242880 0.025 -0.05 0 0 0
+524288 0 2 0 0 5111808 5242880 5242880 0.025 -0.025 0 0 0
+524288 0 2 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 2 0 0 5373952 5242880 5242880 0.025 0.025 0 0 0
+524288 0 2 0 0 5505024 5242880 5242880 0.025 0.05 0 0 0
+524288 0 2 0 0 5636096 5242880 5242880 0.025 0.075 0 0 0
+524288 0 2 0 0 5767168 5242880 5242880 0.025 0.1 0 0 0
+524288 0 2 0 0 5898240 5242880 5242880 0.025 0.125 0 0 0
+524288 0 2 0 0 6029312 5242880 5242880 0.025 0.15 0 0 0
+524288 0 2 0 0 6160384 5242880 5242880 0.025 0.175 0 0 0
+524288 0 2 0 0 6291456 5242880 5242880 0.025 0.2 0 0 0
+524288 0 2 0 0 6422528 5242880 5242880 0.025 0.225 0 0 0
+524288 0 2 0 0 6553600 5242880 5242880 0.025 0.25 0 0 0
+
+
+# iteration 655360
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 2 0 0 3932160 5242880 5242880 0.03125 -0.25 0 0 0
+655360 0 2 0 0 4063232 5242880 5242880 0.03125 -0.225 0 0 0
+655360 0 2 0 0 4194304 5242880 5242880 0.03125 -0.2 0 0 0
+655360 0 2 0 0 4325376 5242880 5242880 0.03125 -0.175 0 0 0
+655360 0 2 0 0 4456448 5242880 5242880 0.03125 -0.15 0 0 0
+655360 0 2 0 0 4587520 5242880 5242880 0.03125 -0.125 0 0 0
+655360 0 2 0 0 4718592 5242880 5242880 0.03125 -0.1 0 0 0
+655360 0 2 0 0 4849664 5242880 5242880 0.03125 -0.075 0 0 0
+655360 0 2 0 0 4980736 5242880 5242880 0.03125 -0.05 0 0 0
+655360 0 2 0 0 5111808 5242880 5242880 0.03125 -0.025 0 0 0
+655360 0 2 0 0 5242880 5242880 5242880 0.03125 0 0 0 0
+655360 0 2 0 0 5373952 5242880 5242880 0.03125 0.025 0 0 0
+655360 0 2 0 0 5505024 5242880 5242880 0.03125 0.05 0 0 0
+655360 0 2 0 0 5636096 5242880 5242880 0.03125 0.075 0 0 0
+655360 0 2 0 0 5767168 5242880 5242880 0.03125 0.1 0 0 0
+655360 0 2 0 0 5898240 5242880 5242880 0.03125 0.125 0 0 0
+655360 0 2 0 0 6029312 5242880 5242880 0.03125 0.15 0 0 0
+655360 0 2 0 0 6160384 5242880 5242880 0.03125 0.175 0 0 0
+655360 0 2 0 0 6291456 5242880 5242880 0.03125 0.2 0 0 0
+655360 0 2 0 0 6422528 5242880 5242880 0.03125 0.225 0 0 0
+655360 0 2 0 0 6553600 5242880 5242880 0.03125 0.25 0 0 0
+
+
+# iteration 786432
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 1 0 0 2621440 5242880 5242880 0.0375 -0.5 0 0 0
+786432 0 1 0 0 2883584 5242880 5242880 0.0375 -0.45 0 0 0
+786432 0 1 0 0 3145728 5242880 5242880 0.0375 -0.4 0 0 0
+786432 0 1 0 0 3407872 5242880 5242880 0.0375 -0.35 0 0 0
+786432 0 1 0 0 3670016 5242880 5242880 0.0375 -0.3 0 0 0
+786432 0 1 0 0 3932160 5242880 5242880 0.0375 -0.25 0 0 0
+786432 0 1 0 0 4194304 5242880 5242880 0.0375 -0.2 0 0 0
+786432 0 1 0 0 4456448 5242880 5242880 0.0375 -0.15 0 0 0
+786432 0 1 0 0 4718592 5242880 5242880 0.0375 -0.1 0 0 0
+786432 0 1 0 0 4980736 5242880 5242880 0.0375 -0.05 0 0 0
+786432 0 1 0 0 5242880 5242880 5242880 0.0375 0 0 0 0
+786432 0 1 0 0 5505024 5242880 5242880 0.0375 0.05 0 0 0
+786432 0 1 0 0 5767168 5242880 5242880 0.0375 0.1 0 0 0
+786432 0 1 0 0 6029312 5242880 5242880 0.0375 0.15 0 0 0
+786432 0 1 0 0 6291456 5242880 5242880 0.0375 0.2 0 0 0
+786432 0 1 0 0 6553600 5242880 5242880 0.0375 0.25 0 0 0
+786432 0 1 0 0 6815744 5242880 5242880 0.0375 0.3 0 0 0
+786432 0 1 0 0 7077888 5242880 5242880 0.0375 0.35 0 0 0
+786432 0 1 0 0 7340032 5242880 5242880 0.0375 0.4 0 0 0
+786432 0 1 0 0 7602176 5242880 5242880 0.0375 0.45 0 0 0
+786432 0 1 0 0 7864320 5242880 5242880 0.0375 0.5 0 0 0
+
+
+# iteration 786432
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 2 0 0 3932160 5242880 5242880 0.0375 -0.25 0 0 0
+786432 0 2 0 0 4063232 5242880 5242880 0.0375 -0.225 0 0 0
+786432 0 2 0 0 4194304 5242880 5242880 0.0375 -0.2 0 0 0
+786432 0 2 0 0 4325376 5242880 5242880 0.0375 -0.175 0 0 0
+786432 0 2 0 0 4456448 5242880 5242880 0.0375 -0.15 0 0 0
+786432 0 2 0 0 4587520 5242880 5242880 0.0375 -0.125 0 0 0
+786432 0 2 0 0 4718592 5242880 5242880 0.0375 -0.1 0 0 0
+786432 0 2 0 0 4849664 5242880 5242880 0.0375 -0.075 0 0 0
+786432 0 2 0 0 4980736 5242880 5242880 0.0375 -0.05 0 0 0
+786432 0 2 0 0 5111808 5242880 5242880 0.0375 -0.025 0 0 0
+786432 0 2 0 0 5242880 5242880 5242880 0.0375 0 0 0 0
+786432 0 2 0 0 5373952 5242880 5242880 0.0375 0.025 0 0 0
+786432 0 2 0 0 5505024 5242880 5242880 0.0375 0.05 0 0 0
+786432 0 2 0 0 5636096 5242880 5242880 0.0375 0.075 0 0 0
+786432 0 2 0 0 5767168 5242880 5242880 0.0375 0.1 0 0 0
+786432 0 2 0 0 5898240 5242880 5242880 0.0375 0.125 0 0 0
+786432 0 2 0 0 6029312 5242880 5242880 0.0375 0.15 0 0 0
+786432 0 2 0 0 6160384 5242880 5242880 0.0375 0.175 0 0 0
+786432 0 2 0 0 6291456 5242880 5242880 0.0375 0.2 0 0 0
+786432 0 2 0 0 6422528 5242880 5242880 0.0375 0.225 0 0 0
+786432 0 2 0 0 6553600 5242880 5242880 0.0375 0.25 0 0 0
+
+
+# iteration 917504
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 2 0 0 3932160 5242880 5242880 0.04375 -0.25 0 0 0
+917504 0 2 0 0 4063232 5242880 5242880 0.04375 -0.225 0 0 0
+917504 0 2 0 0 4194304 5242880 5242880 0.04375 -0.2 0 0 0
+917504 0 2 0 0 4325376 5242880 5242880 0.04375 -0.175 0 0 0
+917504 0 2 0 0 4456448 5242880 5242880 0.04375 -0.15 0 0 0
+917504 0 2 0 0 4587520 5242880 5242880 0.04375 -0.125 0 0 0
+917504 0 2 0 0 4718592 5242880 5242880 0.04375 -0.1 0 0 0
+917504 0 2 0 0 4849664 5242880 5242880 0.04375 -0.075 0 0 0
+917504 0 2 0 0 4980736 5242880 5242880 0.04375 -0.05 0 0 0
+917504 0 2 0 0 5111808 5242880 5242880 0.04375 -0.025 0 0 0
+917504 0 2 0 0 5242880 5242880 5242880 0.04375 0 0 0 0
+917504 0 2 0 0 5373952 5242880 5242880 0.04375 0.025 0 0 0
+917504 0 2 0 0 5505024 5242880 5242880 0.04375 0.05 0 0 0
+917504 0 2 0 0 5636096 5242880 5242880 0.04375 0.075 0 0 0
+917504 0 2 0 0 5767168 5242880 5242880 0.04375 0.1 0 0 0
+917504 0 2 0 0 5898240 5242880 5242880 0.04375 0.125 0 0 0
+917504 0 2 0 0 6029312 5242880 5242880 0.04375 0.15 0 0 0
+917504 0 2 0 0 6160384 5242880 5242880 0.04375 0.175 0 0 0
+917504 0 2 0 0 6291456 5242880 5242880 0.04375 0.2 0 0 0
+917504 0 2 0 0 6422528 5242880 5242880 0.04375 0.225 0 0 0
+917504 0 2 0 0 6553600 5242880 5242880 0.04375 0.25 0 0 0
+
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 0 5242880 5242880 0.05 -1 0 0 0
+1048576 0 0 0 0 524288 5242880 5242880 0.05 -0.9 0 0 0
+1048576 0 0 0 0 1048576 5242880 5242880 0.05 -0.8 0 0 0
+1048576 0 0 0 0 1572864 5242880 5242880 0.05 -0.7 0 0 0
+1048576 0 0 0 0 2097152 5242880 5242880 0.05 -0.6 0 0 0
+1048576 0 0 0 0 2621440 5242880 5242880 0.05 -0.5 0 0 0
+1048576 0 0 0 0 3145728 5242880 5242880 0.05 -0.4 0 0 0
+1048576 0 0 0 0 3670016 5242880 5242880 0.05 -0.3 0 0 0
+1048576 0 0 0 0 4194304 5242880 5242880 0.05 -0.2 0 0 0
+1048576 0 0 0 0 4718592 5242880 5242880 0.05 -0.1 0 0 0
+1048576 0 0 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 0 0 0 5767168 5242880 5242880 0.05 0.1 0 0 0
+1048576 0 0 0 0 6291456 5242880 5242880 0.05 0.2 0 0 0
+1048576 0 0 0 0 6815744 5242880 5242880 0.05 0.3 0 0 0
+1048576 0 0 0 0 7340032 5242880 5242880 0.05 0.4 0 0 0
+1048576 0 0 0 0 7864320 5242880 5242880 0.05 0.5 0 0 0
+1048576 0 0 0 0 8388608 5242880 5242880 0.05 0.6 0 0 0
+1048576 0 0 0 0 8912896 5242880 5242880 0.05 0.7 0 0 0
+1048576 0 0 0 0 9437184 5242880 5242880 0.05 0.8 0 0 0
+1048576 0 0 0 0 9961472 5242880 5242880 0.05 0.9 0 0 0
+1048576 0 0 0 0 10485760 5242880 5242880 0.05 1 0 0 0
+
+
+# iteration 1048576
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 1 0 0 2621440 5242880 5242880 0.05 -0.5 0 0 0
+1048576 0 1 0 0 2883584 5242880 5242880 0.05 -0.45 0 0 0
+1048576 0 1 0 0 3145728 5242880 5242880 0.05 -0.4 0 0 0
+1048576 0 1 0 0 3407872 5242880 5242880 0.05 -0.35 0 0 0
+1048576 0 1 0 0 3670016 5242880 5242880 0.05 -0.3 0 0 0
+1048576 0 1 0 0 3932160 5242880 5242880 0.05 -0.25 0 0 0
+1048576 0 1 0 0 4194304 5242880 5242880 0.05 -0.2 0 0 0
+1048576 0 1 0 0 4456448 5242880 5242880 0.05 -0.15 0 0 0
+1048576 0 1 0 0 4718592 5242880 5242880 0.05 -0.1 0 0 0
+1048576 0 1 0 0 4980736 5242880 5242880 0.05 -0.05 0 0 0
+1048576 0 1 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 1 0 0 5505024 5242880 5242880 0.05 0.05 0 0 0
+1048576 0 1 0 0 5767168 5242880 5242880 0.05 0.1 0 0 0
+1048576 0 1 0 0 6029312 5242880 5242880 0.05 0.15 0 0 0
+1048576 0 1 0 0 6291456 5242880 5242880 0.05 0.2 0 0 0
+1048576 0 1 0 0 6553600 5242880 5242880 0.05 0.25 0 0 0
+1048576 0 1 0 0 6815744 5242880 5242880 0.05 0.3 0 0 0
+1048576 0 1 0 0 7077888 5242880 5242880 0.05 0.35 0 0 0
+1048576 0 1 0 0 7340032 5242880 5242880 0.05 0.4 0 0 0
+1048576 0 1 0 0 7602176 5242880 5242880 0.05 0.45 0 0 0
+1048576 0 1 0 0 7864320 5242880 5242880 0.05 0.5 0 0 0
+
+
+# iteration 1048576
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 2 0 0 3932160 5242880 5242880 0.05 -0.25 0 0 0
+1048576 0 2 0 0 4063232 5242880 5242880 0.05 -0.225 0 0 0
+1048576 0 2 0 0 4194304 5242880 5242880 0.05 -0.2 0 0 0
+1048576 0 2 0 0 4325376 5242880 5242880 0.05 -0.175 0 0 0
+1048576 0 2 0 0 4456448 5242880 5242880 0.05 -0.15 0 0 0
+1048576 0 2 0 0 4587520 5242880 5242880 0.05 -0.125 0 0 0
+1048576 0 2 0 0 4718592 5242880 5242880 0.05 -0.1 0 0 0
+1048576 0 2 0 0 4849664 5242880 5242880 0.05 -0.075 0 0 0
+1048576 0 2 0 0 4980736 5242880 5242880 0.05 -0.05 0 0 0
+1048576 0 2 0 0 5111808 5242880 5242880 0.05 -0.025 0 0 0
+1048576 0 2 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 2 0 0 5373952 5242880 5242880 0.05 0.025 0 0 0
+1048576 0 2 0 0 5505024 5242880 5242880 0.05 0.05 0 0 0
+1048576 0 2 0 0 5636096 5242880 5242880 0.05 0.075 0 0 0
+1048576 0 2 0 0 5767168 5242880 5242880 0.05 0.1 0 0 0
+1048576 0 2 0 0 5898240 5242880 5242880 0.05 0.125 0 0 0
+1048576 0 2 0 0 6029312 5242880 5242880 0.05 0.15 0 0 0
+1048576 0 2 0 0 6160384 5242880 5242880 0.05 0.175 0 0 0
+1048576 0 2 0 0 6291456 5242880 5242880 0.05 0.2 0 0 0
+1048576 0 2 0 0 6422528 5242880 5242880 0.05 0.225 0 0 0
+1048576 0 2 0 0 6553600 5242880 5242880 0.05 0.25 0 0 0
+
+
+# iteration 1179648
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 2 0 0 3932160 5242880 5242880 0.05625 -0.25 0 0 0
+1179648 0 2 0 0 4063232 5242880 5242880 0.05625 -0.225 0 0 0
+1179648 0 2 0 0 4194304 5242880 5242880 0.05625 -0.2 0 0 0
+1179648 0 2 0 0 4325376 5242880 5242880 0.05625 -0.175 0 0 0
+1179648 0 2 0 0 4456448 5242880 5242880 0.05625 -0.15 0 0 0
+1179648 0 2 0 0 4587520 5242880 5242880 0.05625 -0.125 0 0 0
+1179648 0 2 0 0 4718592 5242880 5242880 0.05625 -0.1 0 0 0
+1179648 0 2 0 0 4849664 5242880 5242880 0.05625 -0.075 0 0 0
+1179648 0 2 0 0 4980736 5242880 5242880 0.05625 -0.05 0 0 0
+1179648 0 2 0 0 5111808 5242880 5242880 0.05625 -0.025 0 0 0
+1179648 0 2 0 0 5242880 5242880 5242880 0.05625 0 0 0 0
+1179648 0 2 0 0 5373952 5242880 5242880 0.05625 0.025 0 0 0
+1179648 0 2 0 0 5505024 5242880 5242880 0.05625 0.05 0 0 0
+1179648 0 2 0 0 5636096 5242880 5242880 0.05625 0.075 0 0 0
+1179648 0 2 0 0 5767168 5242880 5242880 0.05625 0.1 0 0 0
+1179648 0 2 0 0 5898240 5242880 5242880 0.05625 0.125 0 0 0
+1179648 0 2 0 0 6029312 5242880 5242880 0.05625 0.15 0 0 0
+1179648 0 2 0 0 6160384 5242880 5242880 0.05625 0.175 0 0 0
+1179648 0 2 0 0 6291456 5242880 5242880 0.05625 0.2 0 0 0
+1179648 0 2 0 0 6422528 5242880 5242880 0.05625 0.225 0 0 0
+1179648 0 2 0 0 6553600 5242880 5242880 0.05625 0.25 0 0 0
+
+
+# iteration 1310720
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 1 0 0 2621440 5242880 5242880 0.0625 -0.5 0 0 0
+1310720 0 1 0 0 2883584 5242880 5242880 0.0625 -0.45 0 0 0
+1310720 0 1 0 0 3145728 5242880 5242880 0.0625 -0.4 0 0 0
+1310720 0 1 0 0 3407872 5242880 5242880 0.0625 -0.35 0 0 0
+1310720 0 1 0 0 3670016 5242880 5242880 0.0625 -0.3 0 0 0
+1310720 0 1 0 0 3932160 5242880 5242880 0.0625 -0.25 0 0 0
+1310720 0 1 0 0 4194304 5242880 5242880 0.0625 -0.2 0 0 0
+1310720 0 1 0 0 4456448 5242880 5242880 0.0625 -0.15 0 0 0
+1310720 0 1 0 0 4718592 5242880 5242880 0.0625 -0.1 0 0 0
+1310720 0 1 0 0 4980736 5242880 5242880 0.0625 -0.05 0 0 0
+1310720 0 1 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
+1310720 0 1 0 0 5505024 5242880 5242880 0.0625 0.05 0 0 0
+1310720 0 1 0 0 5767168 5242880 5242880 0.0625 0.1 0 0 0
+1310720 0 1 0 0 6029312 5242880 5242880 0.0625 0.15 0 0 0
+1310720 0 1 0 0 6291456 5242880 5242880 0.0625 0.2 0 0 0
+1310720 0 1 0 0 6553600 5242880 5242880 0.0625 0.25 0 0 0
+1310720 0 1 0 0 6815744 5242880 5242880 0.0625 0.3 0 0 0
+1310720 0 1 0 0 7077888 5242880 5242880 0.0625 0.35 0 0 0
+1310720 0 1 0 0 7340032 5242880 5242880 0.0625 0.4 0 0 0
+1310720 0 1 0 0 7602176 5242880 5242880 0.0625 0.45 0 0 0
+1310720 0 1 0 0 7864320 5242880 5242880 0.0625 0.5 0 0 0
+
+
+# iteration 1310720
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 2 0 0 3932160 5242880 5242880 0.0625 -0.25 0 0 0
+1310720 0 2 0 0 4063232 5242880 5242880 0.0625 -0.225 0 0 0
+1310720 0 2 0 0 4194304 5242880 5242880 0.0625 -0.2 0 0 0
+1310720 0 2 0 0 4325376 5242880 5242880 0.0625 -0.175 0 0 0
+1310720 0 2 0 0 4456448 5242880 5242880 0.0625 -0.15 0 0 0
+1310720 0 2 0 0 4587520 5242880 5242880 0.0625 -0.125 0 0 0
+1310720 0 2 0 0 4718592 5242880 5242880 0.0625 -0.1 0 0 0
+1310720 0 2 0 0 4849664 5242880 5242880 0.0625 -0.075 0 0 0
+1310720 0 2 0 0 4980736 5242880 5242880 0.0625 -0.05 0 0 0
+1310720 0 2 0 0 5111808 5242880 5242880 0.0625 -0.025 0 0 0
+1310720 0 2 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
+1310720 0 2 0 0 5373952 5242880 5242880 0.0625 0.025 0 0 0
+1310720 0 2 0 0 5505024 5242880 5242880 0.0625 0.05 0 0 0
+1310720 0 2 0 0 5636096 5242880 5242880 0.0625 0.075 0 0 0
+1310720 0 2 0 0 5767168 5242880 5242880 0.0625 0.1 0 0 0
+1310720 0 2 0 0 5898240 5242880 5242880 0.0625 0.125 0 0 0
+1310720 0 2 0 0 6029312 5242880 5242880 0.0625 0.15 0 0 0
+1310720 0 2 0 0 6160384 5242880 5242880 0.0625 0.175 0 0 0
+1310720 0 2 0 0 6291456 5242880 5242880 0.0625 0.2 0 0 0
+1310720 0 2 0 0 6422528 5242880 5242880 0.0625 0.225 0 0 0
+1310720 0 2 0 0 6553600 5242880 5242880 0.0625 0.25 0 0 0
+
+
+# iteration 1441792
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 2 0 0 3932160 5242880 5242880 0.06875 -0.25 0 0 0
+1441792 0 2 0 0 4063232 5242880 5242880 0.06875 -0.225 0 0 0
+1441792 0 2 0 0 4194304 5242880 5242880 0.06875 -0.2 0 0 0
+1441792 0 2 0 0 4325376 5242880 5242880 0.06875 -0.175 0 0 0
+1441792 0 2 0 0 4456448 5242880 5242880 0.06875 -0.15 0 0 0
+1441792 0 2 0 0 4587520 5242880 5242880 0.06875 -0.125 0 0 0
+1441792 0 2 0 0 4718592 5242880 5242880 0.06875 -0.1 0 0 0
+1441792 0 2 0 0 4849664 5242880 5242880 0.06875 -0.075 0 0 0
+1441792 0 2 0 0 4980736 5242880 5242880 0.06875 -0.05 0 0 0
+1441792 0 2 0 0 5111808 5242880 5242880 0.06875 -0.025 0 0 0
+1441792 0 2 0 0 5242880 5242880 5242880 0.06875 0 0 0 0
+1441792 0 2 0 0 5373952 5242880 5242880 0.06875 0.025 0 0 0
+1441792 0 2 0 0 5505024 5242880 5242880 0.06875 0.05 0 0 0
+1441792 0 2 0 0 5636096 5242880 5242880 0.06875 0.075 0 0 0
+1441792 0 2 0 0 5767168 5242880 5242880 0.06875 0.1 0 0 0
+1441792 0 2 0 0 5898240 5242880 5242880 0.06875 0.125 0 0 0
+1441792 0 2 0 0 6029312 5242880 5242880 0.06875 0.15 0 0 0
+1441792 0 2 0 0 6160384 5242880 5242880 0.06875 0.175 0 0 0
+1441792 0 2 0 0 6291456 5242880 5242880 0.06875 0.2 0 0 0
+1441792 0 2 0 0 6422528 5242880 5242880 0.06875 0.225 0 0 0
+1441792 0 2 0 0 6553600 5242880 5242880 0.06875 0.25 0 0 0
+
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 0 5242880 5242880 0.075 -1 0 0 0
+1572864 0 0 0 0 524288 5242880 5242880 0.075 -0.9 0 0 0
+1572864 0 0 0 0 1048576 5242880 5242880 0.075 -0.8 0 0 0
+1572864 0 0 0 0 1572864 5242880 5242880 0.075 -0.7 0 0 0
+1572864 0 0 0 0 2097152 5242880 5242880 0.075 -0.6 0 0 0
+1572864 0 0 0 0 2621440 5242880 5242880 0.075 -0.5 0 0 0
+1572864 0 0 0 0 3145728 5242880 5242880 0.075 -0.4 0 0 0
+1572864 0 0 0 0 3670016 5242880 5242880 0.075 -0.3 0 0 0
+1572864 0 0 0 0 4194304 5242880 5242880 0.075 -0.2 0 0 0
+1572864 0 0 0 0 4718592 5242880 5242880 0.075 -0.1 0 0 0
+1572864 0 0 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+1572864 0 0 0 0 5767168 5242880 5242880 0.075 0.1 0 0 0
+1572864 0 0 0 0 6291456 5242880 5242880 0.075 0.2 0 0 0
+1572864 0 0 0 0 6815744 5242880 5242880 0.075 0.3 0 0 0
+1572864 0 0 0 0 7340032 5242880 5242880 0.075 0.4 0 0 0
+1572864 0 0 0 0 7864320 5242880 5242880 0.075 0.5 0 0 0
+1572864 0 0 0 0 8388608 5242880 5242880 0.075 0.6 0 0 0
+1572864 0 0 0 0 8912896 5242880 5242880 0.075 0.7 0 0 0
+1572864 0 0 0 0 9437184 5242880 5242880 0.075 0.8 0 0 0
+1572864 0 0 0 0 9961472 5242880 5242880 0.075 0.9 0 0 0
+1572864 0 0 0 0 10485760 5242880 5242880 0.075 1 0 0 0
+
+
+# iteration 1572864
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 1 0 0 2621440 5242880 5242880 0.075 -0.5 0 0 0
+1572864 0 1 0 0 2883584 5242880 5242880 0.075 -0.45 0 0 0
+1572864 0 1 0 0 3145728 5242880 5242880 0.075 -0.4 0 0 0
+1572864 0 1 0 0 3407872 5242880 5242880 0.075 -0.35 0 0 0
+1572864 0 1 0 0 3670016 5242880 5242880 0.075 -0.3 0 0 0
+1572864 0 1 0 0 3932160 5242880 5242880 0.075 -0.25 0 0 0
+1572864 0 1 0 0 4194304 5242880 5242880 0.075 -0.2 0 0 0
+1572864 0 1 0 0 4456448 5242880 5242880 0.075 -0.15 0 0 0
+1572864 0 1 0 0 4718592 5242880 5242880 0.075 -0.1 0 0 0
+1572864 0 1 0 0 4980736 5242880 5242880 0.075 -0.05 0 0 0
+1572864 0 1 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+1572864 0 1 0 0 5505024 5242880 5242880 0.075 0.05 0 0 0
+1572864 0 1 0 0 5767168 5242880 5242880 0.075 0.1 0 0 0
+1572864 0 1 0 0 6029312 5242880 5242880 0.075 0.15 0 0 0
+1572864 0 1 0 0 6291456 5242880 5242880 0.075 0.2 0 0 0
+1572864 0 1 0 0 6553600 5242880 5242880 0.075 0.25 0 0 0
+1572864 0 1 0 0 6815744 5242880 5242880 0.075 0.3 0 0 0
+1572864 0 1 0 0 7077888 5242880 5242880 0.075 0.35 0 0 0
+1572864 0 1 0 0 7340032 5242880 5242880 0.075 0.4 0 0 0
+1572864 0 1 0 0 7602176 5242880 5242880 0.075 0.45 0 0 0
+1572864 0 1 0 0 7864320 5242880 5242880 0.075 0.5 0 0 0
+
+
+# iteration 1572864
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 2 0 0 3932160 5242880 5242880 0.075 -0.25 0 0 0
+1572864 0 2 0 0 4063232 5242880 5242880 0.075 -0.225 0 0 0
+1572864 0 2 0 0 4194304 5242880 5242880 0.075 -0.2 0 0 0
+1572864 0 2 0 0 4325376 5242880 5242880 0.075 -0.175 0 0 0
+1572864 0 2 0 0 4456448 5242880 5242880 0.075 -0.15 0 0 0
+1572864 0 2 0 0 4587520 5242880 5242880 0.075 -0.125 0 0 0
+1572864 0 2 0 0 4718592 5242880 5242880 0.075 -0.1 0 0 0
+1572864 0 2 0 0 4849664 5242880 5242880 0.075 -0.075 0 0 0
+1572864 0 2 0 0 4980736 5242880 5242880 0.075 -0.05 0 0 0
+1572864 0 2 0 0 5111808 5242880 5242880 0.075 -0.025 0 0 0
+1572864 0 2 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+1572864 0 2 0 0 5373952 5242880 5242880 0.075 0.025 0 0 0
+1572864 0 2 0 0 5505024 5242880 5242880 0.075 0.05 0 0 0
+1572864 0 2 0 0 5636096 5242880 5242880 0.075 0.075 0 0 0
+1572864 0 2 0 0 5767168 5242880 5242880 0.075 0.1 0 0 0
+1572864 0 2 0 0 5898240 5242880 5242880 0.075 0.125 0 0 0
+1572864 0 2 0 0 6029312 5242880 5242880 0.075 0.15 0 0 0
+1572864 0 2 0 0 6160384 5242880 5242880 0.075 0.175 0 0 0
+1572864 0 2 0 0 6291456 5242880 5242880 0.075 0.2 0 0 0
+1572864 0 2 0 0 6422528 5242880 5242880 0.075 0.225 0 0 0
+1572864 0 2 0 0 6553600 5242880 5242880 0.075 0.25 0 0 0
+
+
+# iteration 1703936
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 2 0 0 3932160 5242880 5242880 0.08125 -0.25 0 0 0
+1703936 0 2 0 0 4063232 5242880 5242880 0.08125 -0.225 0 0 0
+1703936 0 2 0 0 4194304 5242880 5242880 0.08125 -0.2 0 0 0
+1703936 0 2 0 0 4325376 5242880 5242880 0.08125 -0.175 0 0 0
+1703936 0 2 0 0 4456448 5242880 5242880 0.08125 -0.15 0 0 0
+1703936 0 2 0 0 4587520 5242880 5242880 0.08125 -0.125 0 0 0
+1703936 0 2 0 0 4718592 5242880 5242880 0.08125 -0.1 0 0 0
+1703936 0 2 0 0 4849664 5242880 5242880 0.08125 -0.075 0 0 0
+1703936 0 2 0 0 4980736 5242880 5242880 0.08125 -0.05 0 0 0
+1703936 0 2 0 0 5111808 5242880 5242880 0.08125 -0.025 0 0 0
+1703936 0 2 0 0 5242880 5242880 5242880 0.08125 0 0 0 0
+1703936 0 2 0 0 5373952 5242880 5242880 0.08125 0.025 0 0 0
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+1703936 0 2 0 0 5636096 5242880 5242880 0.08125 0.075 0 0 0
+1703936 0 2 0 0 5767168 5242880 5242880 0.08125 0.1 0 0 0
+1703936 0 2 0 0 5898240 5242880 5242880 0.08125 0.125 0 0 0
+1703936 0 2 0 0 6029312 5242880 5242880 0.08125 0.15 0 0 0
+1703936 0 2 0 0 6160384 5242880 5242880 0.08125 0.175 0 0 0
+1703936 0 2 0 0 6291456 5242880 5242880 0.08125 0.2 0 0 0
+1703936 0 2 0 0 6422528 5242880 5242880 0.08125 0.225 0 0 0
+1703936 0 2 0 0 6553600 5242880 5242880 0.08125 0.25 0 0 0
+
+
+# iteration 1835008
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 1 0 0 2621440 5242880 5242880 0.0875 -0.5 0 0 0
+1835008 0 1 0 0 2883584 5242880 5242880 0.0875 -0.45 0 0 0
+1835008 0 1 0 0 3145728 5242880 5242880 0.0875 -0.4 0 0 0
+1835008 0 1 0 0 3407872 5242880 5242880 0.0875 -0.35 0 0 0
+1835008 0 1 0 0 3670016 5242880 5242880 0.0875 -0.3 0 0 0
+1835008 0 1 0 0 3932160 5242880 5242880 0.0875 -0.25 0 0 0
+1835008 0 1 0 0 4194304 5242880 5242880 0.0875 -0.2 0 0 0
+1835008 0 1 0 0 4456448 5242880 5242880 0.0875 -0.15 0 0 0
+1835008 0 1 0 0 4718592 5242880 5242880 0.0875 -0.1 0 0 0
+1835008 0 1 0 0 4980736 5242880 5242880 0.0875 -0.05 0 0 0
+1835008 0 1 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+1835008 0 1 0 0 5505024 5242880 5242880 0.0875 0.05 0 0 0
+1835008 0 1 0 0 5767168 5242880 5242880 0.0875 0.1 0 0 0
+1835008 0 1 0 0 6029312 5242880 5242880 0.0875 0.15 0 0 0
+1835008 0 1 0 0 6291456 5242880 5242880 0.0875 0.2 0 0 0
+1835008 0 1 0 0 6553600 5242880 5242880 0.0875 0.25 0 0 0
+1835008 0 1 0 0 6815744 5242880 5242880 0.0875 0.3 0 0 0
+1835008 0 1 0 0 7077888 5242880 5242880 0.0875 0.35 0 0 0
+1835008 0 1 0 0 7340032 5242880 5242880 0.0875 0.4 0 0 0
+1835008 0 1 0 0 7602176 5242880 5242880 0.0875 0.45 0 0 0
+1835008 0 1 0 0 7864320 5242880 5242880 0.0875 0.5 0 0 0
+
+
+# iteration 1835008
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 2 0 0 3932160 5242880 5242880 0.0875 -0.25 0 0 0
+1835008 0 2 0 0 4063232 5242880 5242880 0.0875 -0.225 0 0 0
+1835008 0 2 0 0 4194304 5242880 5242880 0.0875 -0.2 0 0 0
+1835008 0 2 0 0 4325376 5242880 5242880 0.0875 -0.175 0 0 0
+1835008 0 2 0 0 4456448 5242880 5242880 0.0875 -0.15 0 0 0
+1835008 0 2 0 0 4587520 5242880 5242880 0.0875 -0.125 0 0 0
+1835008 0 2 0 0 4718592 5242880 5242880 0.0875 -0.1 0 0 0
+1835008 0 2 0 0 4849664 5242880 5242880 0.0875 -0.075 0 0 0
+1835008 0 2 0 0 4980736 5242880 5242880 0.0875 -0.05 0 0 0
+1835008 0 2 0 0 5111808 5242880 5242880 0.0875 -0.025 0 0 0
+1835008 0 2 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+1835008 0 2 0 0 5373952 5242880 5242880 0.0875 0.025 0 0 0
+1835008 0 2 0 0 5505024 5242880 5242880 0.0875 0.05 0 0 0
+1835008 0 2 0 0 5636096 5242880 5242880 0.0875 0.075 0 0 0
+1835008 0 2 0 0 5767168 5242880 5242880 0.0875 0.1 0 0 0
+1835008 0 2 0 0 5898240 5242880 5242880 0.0875 0.125 0 0 0
+1835008 0 2 0 0 6029312 5242880 5242880 0.0875 0.15 0 0 0
+1835008 0 2 0 0 6160384 5242880 5242880 0.0875 0.175 0 0 0
+1835008 0 2 0 0 6291456 5242880 5242880 0.0875 0.2 0 0 0
+1835008 0 2 0 0 6422528 5242880 5242880 0.0875 0.225 0 0 0
+1835008 0 2 0 0 6553600 5242880 5242880 0.0875 0.25 0 0 0
+
+
+# iteration 1966080
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 2 0 0 3932160 5242880 5242880 0.09375 -0.25 0 0 0
+1966080 0 2 0 0 4063232 5242880 5242880 0.09375 -0.225 0 0 0
+1966080 0 2 0 0 4194304 5242880 5242880 0.09375 -0.2 0 0 0
+1966080 0 2 0 0 4325376 5242880 5242880 0.09375 -0.175 0 0 0
+1966080 0 2 0 0 4456448 5242880 5242880 0.09375 -0.15 0 0 0
+1966080 0 2 0 0 4587520 5242880 5242880 0.09375 -0.125 0 0 0
+1966080 0 2 0 0 4718592 5242880 5242880 0.09375 -0.1 0 0 0
+1966080 0 2 0 0 4849664 5242880 5242880 0.09375 -0.075 0 0 0
+1966080 0 2 0 0 4980736 5242880 5242880 0.09375 -0.05 0 0 0
+1966080 0 2 0 0 5111808 5242880 5242880 0.09375 -0.025 0 0 0
+1966080 0 2 0 0 5242880 5242880 5242880 0.09375 0 0 0 0
+1966080 0 2 0 0 5373952 5242880 5242880 0.09375 0.025 0 0 0
+1966080 0 2 0 0 5505024 5242880 5242880 0.09375 0.05 0 0 0
+1966080 0 2 0 0 5636096 5242880 5242880 0.09375 0.075 0 0 0
+1966080 0 2 0 0 5767168 5242880 5242880 0.09375 0.1 0 0 0
+1966080 0 2 0 0 5898240 5242880 5242880 0.09375 0.125 0 0 0
+1966080 0 2 0 0 6029312 5242880 5242880 0.09375 0.15 0 0 0
+1966080 0 2 0 0 6160384 5242880 5242880 0.09375 0.175 0 0 0
+1966080 0 2 0 0 6291456 5242880 5242880 0.09375 0.2 0 0 0
+1966080 0 2 0 0 6422528 5242880 5242880 0.09375 0.225 0 0 0
+1966080 0 2 0 0 6553600 5242880 5242880 0.09375 0.25 0 0 0
+
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 0 5242880 5242880 0.1 -1 0 0 0
+2097152 0 0 0 0 524288 5242880 5242880 0.1 -0.9 0 0 0
+2097152 0 0 0 0 1048576 5242880 5242880 0.1 -0.8 0 0 0
+2097152 0 0 0 0 1572864 5242880 5242880 0.1 -0.7 0 0 0
+2097152 0 0 0 0 2097152 5242880 5242880 0.1 -0.6 0 0 0
+2097152 0 0 0 0 2621440 5242880 5242880 0.1 -0.5 0 0 0
+2097152 0 0 0 0 3145728 5242880 5242880 0.1 -0.4 0 0 0
+2097152 0 0 0 0 3670016 5242880 5242880 0.1 -0.3 0 0 0
+2097152 0 0 0 0 4194304 5242880 5242880 0.1 -0.2 0 0 0
+2097152 0 0 0 0 4718592 5242880 5242880 0.1 -0.1 0 0 0
+2097152 0 0 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 0 0 0 5767168 5242880 5242880 0.1 0.1 0 0 0
+2097152 0 0 0 0 6291456 5242880 5242880 0.1 0.2 0 0 0
+2097152 0 0 0 0 6815744 5242880 5242880 0.1 0.3 0 0 0
+2097152 0 0 0 0 7340032 5242880 5242880 0.1 0.4 0 0 0
+2097152 0 0 0 0 7864320 5242880 5242880 0.1 0.5 0 0 0
+2097152 0 0 0 0 8388608 5242880 5242880 0.1 0.6 0 0 0
+2097152 0 0 0 0 8912896 5242880 5242880 0.1 0.7 0 0 0
+2097152 0 0 0 0 9437184 5242880 5242880 0.1 0.8 0 0 0
+2097152 0 0 0 0 9961472 5242880 5242880 0.1 0.9 0 0 0
+2097152 0 0 0 0 10485760 5242880 5242880 0.1 1 0 0 0
+
+
+# iteration 2097152
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 1 0 0 2621440 5242880 5242880 0.1 -0.5 0 0 0
+2097152 0 1 0 0 2883584 5242880 5242880 0.1 -0.45 0 0 0
+2097152 0 1 0 0 3145728 5242880 5242880 0.1 -0.4 0 0 0
+2097152 0 1 0 0 3407872 5242880 5242880 0.1 -0.35 0 0 0
+2097152 0 1 0 0 3670016 5242880 5242880 0.1 -0.3 0 0 0
+2097152 0 1 0 0 3932160 5242880 5242880 0.1 -0.25 0 0 0
+2097152 0 1 0 0 4194304 5242880 5242880 0.1 -0.2 0 0 0
+2097152 0 1 0 0 4456448 5242880 5242880 0.1 -0.15 0 0 0
+2097152 0 1 0 0 4718592 5242880 5242880 0.1 -0.1 0 0 0
+2097152 0 1 0 0 4980736 5242880 5242880 0.1 -0.05 0 0 0
+2097152 0 1 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 1 0 0 5505024 5242880 5242880 0.1 0.05 0 0 0
+2097152 0 1 0 0 5767168 5242880 5242880 0.1 0.1 0 0 0
+2097152 0 1 0 0 6029312 5242880 5242880 0.1 0.15 0 0 0
+2097152 0 1 0 0 6291456 5242880 5242880 0.1 0.2 0 0 0
+2097152 0 1 0 0 6553600 5242880 5242880 0.1 0.25 0 0 0
+2097152 0 1 0 0 6815744 5242880 5242880 0.1 0.3 0 0 0
+2097152 0 1 0 0 7077888 5242880 5242880 0.1 0.35 0 0 0
+2097152 0 1 0 0 7340032 5242880 5242880 0.1 0.4 0 0 0
+2097152 0 1 0 0 7602176 5242880 5242880 0.1 0.45 0 0 0
+2097152 0 1 0 0 7864320 5242880 5242880 0.1 0.5 0 0 0
+
+
+# iteration 2097152
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 2 0 0 3932160 5242880 5242880 0.1 -0.25 0 0 0
+2097152 0 2 0 0 4063232 5242880 5242880 0.1 -0.225 0 0 0
+2097152 0 2 0 0 4194304 5242880 5242880 0.1 -0.2 0 0 0
+2097152 0 2 0 0 4325376 5242880 5242880 0.1 -0.175 0 0 0
+2097152 0 2 0 0 4456448 5242880 5242880 0.1 -0.15 0 0 0
+2097152 0 2 0 0 4587520 5242880 5242880 0.1 -0.125 0 0 0
+2097152 0 2 0 0 4718592 5242880 5242880 0.1 -0.1 0 0 0
+2097152 0 2 0 0 4849664 5242880 5242880 0.1 -0.075 0 0 0
+2097152 0 2 0 0 4980736 5242880 5242880 0.1 -0.05 0 0 0
+2097152 0 2 0 0 5111808 5242880 5242880 0.1 -0.025 0 0 0
+2097152 0 2 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 2 0 0 5373952 5242880 5242880 0.1 0.025 0 0 0
+2097152 0 2 0 0 5505024 5242880 5242880 0.1 0.05 0 0 0
+2097152 0 2 0 0 5636096 5242880 5242880 0.1 0.075 0 0 0
+2097152 0 2 0 0 5767168 5242880 5242880 0.1 0.1 0 0 0
+2097152 0 2 0 0 5898240 5242880 5242880 0.1 0.125 0 0 0
+2097152 0 2 0 0 6029312 5242880 5242880 0.1 0.15 0 0 0
+2097152 0 2 0 0 6160384 5242880 5242880 0.1 0.175 0 0 0
+2097152 0 2 0 0 6291456 5242880 5242880 0.1 0.2 0 0 0
+2097152 0 2 0 0 6422528 5242880 5242880 0.1 0.225 0 0 0
+2097152 0 2 0 0 6553600 5242880 5242880 0.1 0.25 0 0 0
+
+
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiz.y.asc b/Carpet/CarpetInterp/test/waveinterp/phiz.y.asc
new file mode 100644
index 000000000..b7e5ce4c4
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiz.y.asc
@@ -0,0 +1,808 @@
+# WAVEMOL::phiz y (phiz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 5242880 0 5242880 0 0 -1 0 0
+0 0 0 0 0 5242880 524288 5242880 0 0 -0.9 0 0
+0 0 0 0 0 5242880 1048576 5242880 0 0 -0.8 0 0
+0 0 0 0 0 5242880 1572864 5242880 0 0 -0.7 0 0
+0 0 0 0 0 5242880 2097152 5242880 0 0 -0.6 0 0
+0 0 0 0 0 5242880 2621440 5242880 0 0 -0.5 0 0
+0 0 0 0 0 5242880 3145728 5242880 0 0 -0.4 0 0
+0 0 0 0 0 5242880 3670016 5242880 0 0 -0.3 0 0
+0 0 0 0 0 5242880 4194304 5242880 0 0 -0.2 0 0
+0 0 0 0 0 5242880 4718592 5242880 0 0 -0.1 0 0
+0 0 0 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 0 0 0 5242880 5767168 5242880 0 0 0.1 0 0
+0 0 0 0 0 5242880 6291456 5242880 0 0 0.2 0 0
+0 0 0 0 0 5242880 6815744 5242880 0 0 0.3 0 0
+0 0 0 0 0 5242880 7340032 5242880 0 0 0.4 0 0
+0 0 0 0 0 5242880 7864320 5242880 0 0 0.5 0 0
+0 0 0 0 0 5242880 8388608 5242880 0 0 0.6 0 0
+0 0 0 0 0 5242880 8912896 5242880 0 0 0.7 0 0
+0 0 0 0 0 5242880 9437184 5242880 0 0 0.8 0 0
+0 0 0 0 0 5242880 9961472 5242880 0 0 0.9 0 0
+0 0 0 0 0 5242880 10485760 5242880 0 0 1 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 5242880 2621440 5242880 0 0 -0.5 0 0
+0 0 1 0 0 5242880 2883584 5242880 0 0 -0.45 0 0
+0 0 1 0 0 5242880 3145728 5242880 0 0 -0.4 0 0
+0 0 1 0 0 5242880 3407872 5242880 0 0 -0.35 0 0
+0 0 1 0 0 5242880 3670016 5242880 0 0 -0.3 0 0
+0 0 1 0 0 5242880 3932160 5242880 0 0 -0.25 0 0
+0 0 1 0 0 5242880 4194304 5242880 0 0 -0.2 0 0
+0 0 1 0 0 5242880 4456448 5242880 0 0 -0.15 0 0
+0 0 1 0 0 5242880 4718592 5242880 0 0 -0.1 0 0
+0 0 1 0 0 5242880 4980736 5242880 0 0 -0.05 0 0
+0 0 1 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 1 0 0 5242880 5505024 5242880 0 0 0.05 0 0
+0 0 1 0 0 5242880 5767168 5242880 0 0 0.1 0 0
+0 0 1 0 0 5242880 6029312 5242880 0 0 0.15 0 0
+0 0 1 0 0 5242880 6291456 5242880 0 0 0.2 0 0
+0 0 1 0 0 5242880 6553600 5242880 0 0 0.25 0 0
+0 0 1 0 0 5242880 6815744 5242880 0 0 0.3 0 0
+0 0 1 0 0 5242880 7077888 5242880 0 0 0.35 0 0
+0 0 1 0 0 5242880 7340032 5242880 0 0 0.4 0 0
+0 0 1 0 0 5242880 7602176 5242880 0 0 0.45 0 0
+0 0 1 0 0 5242880 7864320 5242880 0 0 0.5 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 5242880 3932160 5242880 0 0 -0.25 0 0
+0 0 2 0 0 5242880 4063232 5242880 0 0 -0.225 0 0
+0 0 2 0 0 5242880 4194304 5242880 0 0 -0.2 0 0
+0 0 2 0 0 5242880 4325376 5242880 0 0 -0.175 0 0
+0 0 2 0 0 5242880 4456448 5242880 0 0 -0.15 0 0
+0 0 2 0 0 5242880 4587520 5242880 0 0 -0.125 0 0
+0 0 2 0 0 5242880 4718592 5242880 0 0 -0.1 0 0
+0 0 2 0 0 5242880 4849664 5242880 0 0 -0.075 0 0
+0 0 2 0 0 5242880 4980736 5242880 0 0 -0.05 0 0
+0 0 2 0 0 5242880 5111808 5242880 0 0 -0.025 0 0
+0 0 2 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 2 0 0 5242880 5373952 5242880 0 0 0.025 0 0
+0 0 2 0 0 5242880 5505024 5242880 0 0 0.05 0 0
+0 0 2 0 0 5242880 5636096 5242880 0 0 0.075 0 0
+0 0 2 0 0 5242880 5767168 5242880 0 0 0.1 0 0
+0 0 2 0 0 5242880 5898240 5242880 0 0 0.125 0 0
+0 0 2 0 0 5242880 6029312 5242880 0 0 0.15 0 0
+0 0 2 0 0 5242880 6160384 5242880 0 0 0.175 0 0
+0 0 2 0 0 5242880 6291456 5242880 0 0 0.2 0 0
+0 0 2 0 0 5242880 6422528 5242880 0 0 0.225 0 0
+0 0 2 0 0 5242880 6553600 5242880 0 0 0.25 0 0
+
+
+# iteration 131072
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 2 0 0 5242880 3932160 5242880 0.00625 0 -0.25 0 0
+131072 0 2 0 0 5242880 4063232 5242880 0.00625 0 -0.225 0 0
+131072 0 2 0 0 5242880 4194304 5242880 0.00625 0 -0.2 0 0
+131072 0 2 0 0 5242880 4325376 5242880 0.00625 0 -0.175 0 0
+131072 0 2 0 0 5242880 4456448 5242880 0.00625 0 -0.15 0 0
+131072 0 2 0 0 5242880 4587520 5242880 0.00625 0 -0.125 0 0
+131072 0 2 0 0 5242880 4718592 5242880 0.00625 0 -0.1 0 0
+131072 0 2 0 0 5242880 4849664 5242880 0.00625 0 -0.075 0 0
+131072 0 2 0 0 5242880 4980736 5242880 0.00625 0 -0.05 0 0
+131072 0 2 0 0 5242880 5111808 5242880 0.00625 0 -0.025 0 0
+131072 0 2 0 0 5242880 5242880 5242880 0.00625 0 0 0 0
+131072 0 2 0 0 5242880 5373952 5242880 0.00625 0 0.025 0 0
+131072 0 2 0 0 5242880 5505024 5242880 0.00625 0 0.05 0 0
+131072 0 2 0 0 5242880 5636096 5242880 0.00625 0 0.075 0 0
+131072 0 2 0 0 5242880 5767168 5242880 0.00625 0 0.1 0 0
+131072 0 2 0 0 5242880 5898240 5242880 0.00625 0 0.125 0 0
+131072 0 2 0 0 5242880 6029312 5242880 0.00625 0 0.15 0 0
+131072 0 2 0 0 5242880 6160384 5242880 0.00625 0 0.175 0 0
+131072 0 2 0 0 5242880 6291456 5242880 0.00625 0 0.2 0 0
+131072 0 2 0 0 5242880 6422528 5242880 0.00625 0 0.225 0 0
+131072 0 2 0 0 5242880 6553600 5242880 0.00625 0 0.25 0 0
+
+
+# iteration 262144
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 1 0 0 5242880 2621440 5242880 0.0125 0 -0.5 0 0
+262144 0 1 0 0 5242880 2883584 5242880 0.0125 0 -0.45 0 0
+262144 0 1 0 0 5242880 3145728 5242880 0.0125 0 -0.4 0 0
+262144 0 1 0 0 5242880 3407872 5242880 0.0125 0 -0.35 0 0
+262144 0 1 0 0 5242880 3670016 5242880 0.0125 0 -0.3 0 0
+262144 0 1 0 0 5242880 3932160 5242880 0.0125 0 -0.25 0 0
+262144 0 1 0 0 5242880 4194304 5242880 0.0125 0 -0.2 0 0
+262144 0 1 0 0 5242880 4456448 5242880 0.0125 0 -0.15 0 0
+262144 0 1 0 0 5242880 4718592 5242880 0.0125 0 -0.1 0 0
+262144 0 1 0 0 5242880 4980736 5242880 0.0125 0 -0.05 0 0
+262144 0 1 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+262144 0 1 0 0 5242880 5505024 5242880 0.0125 0 0.05 0 0
+262144 0 1 0 0 5242880 5767168 5242880 0.0125 0 0.1 0 0
+262144 0 1 0 0 5242880 6029312 5242880 0.0125 0 0.15 0 0
+262144 0 1 0 0 5242880 6291456 5242880 0.0125 0 0.2 0 0
+262144 0 1 0 0 5242880 6553600 5242880 0.0125 0 0.25 0 0
+262144 0 1 0 0 5242880 6815744 5242880 0.0125 0 0.3 0 0
+262144 0 1 0 0 5242880 7077888 5242880 0.0125 0 0.35 0 0
+262144 0 1 0 0 5242880 7340032 5242880 0.0125 0 0.4 0 0
+262144 0 1 0 0 5242880 7602176 5242880 0.0125 0 0.45 0 0
+262144 0 1 0 0 5242880 7864320 5242880 0.0125 0 0.5 0 0
+
+
+# iteration 262144
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 2 0 0 5242880 3932160 5242880 0.0125 0 -0.25 0 0
+262144 0 2 0 0 5242880 4063232 5242880 0.0125 0 -0.225 0 0
+262144 0 2 0 0 5242880 4194304 5242880 0.0125 0 -0.2 0 0
+262144 0 2 0 0 5242880 4325376 5242880 0.0125 0 -0.175 0 0
+262144 0 2 0 0 5242880 4456448 5242880 0.0125 0 -0.15 0 0
+262144 0 2 0 0 5242880 4587520 5242880 0.0125 0 -0.125 0 0
+262144 0 2 0 0 5242880 4718592 5242880 0.0125 0 -0.1 0 0
+262144 0 2 0 0 5242880 4849664 5242880 0.0125 0 -0.075 0 0
+262144 0 2 0 0 5242880 4980736 5242880 0.0125 0 -0.05 0 0
+262144 0 2 0 0 5242880 5111808 5242880 0.0125 0 -0.025 0 0
+262144 0 2 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+262144 0 2 0 0 5242880 5373952 5242880 0.0125 0 0.025 0 0
+262144 0 2 0 0 5242880 5505024 5242880 0.0125 0 0.05 0 0
+262144 0 2 0 0 5242880 5636096 5242880 0.0125 0 0.075 0 0
+262144 0 2 0 0 5242880 5767168 5242880 0.0125 0 0.1 0 0
+262144 0 2 0 0 5242880 5898240 5242880 0.0125 0 0.125 0 0
+262144 0 2 0 0 5242880 6029312 5242880 0.0125 0 0.15 0 0
+262144 0 2 0 0 5242880 6160384 5242880 0.0125 0 0.175 0 0
+262144 0 2 0 0 5242880 6291456 5242880 0.0125 0 0.2 0 0
+262144 0 2 0 0 5242880 6422528 5242880 0.0125 0 0.225 0 0
+262144 0 2 0 0 5242880 6553600 5242880 0.0125 0 0.25 0 0
+
+
+# iteration 393216
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 2 0 0 5242880 3932160 5242880 0.01875 0 -0.25 0 0
+393216 0 2 0 0 5242880 4063232 5242880 0.01875 0 -0.225 0 0
+393216 0 2 0 0 5242880 4194304 5242880 0.01875 0 -0.2 0 0
+393216 0 2 0 0 5242880 4325376 5242880 0.01875 0 -0.175 0 0
+393216 0 2 0 0 5242880 4456448 5242880 0.01875 0 -0.15 0 0
+393216 0 2 0 0 5242880 4587520 5242880 0.01875 0 -0.125 0 0
+393216 0 2 0 0 5242880 4718592 5242880 0.01875 0 -0.1 0 0
+393216 0 2 0 0 5242880 4849664 5242880 0.01875 0 -0.075 0 0
+393216 0 2 0 0 5242880 4980736 5242880 0.01875 0 -0.05 0 0
+393216 0 2 0 0 5242880 5111808 5242880 0.01875 0 -0.025 0 0
+393216 0 2 0 0 5242880 5242880 5242880 0.01875 0 0 0 0
+393216 0 2 0 0 5242880 5373952 5242880 0.01875 0 0.025 0 0
+393216 0 2 0 0 5242880 5505024 5242880 0.01875 0 0.05 0 0
+393216 0 2 0 0 5242880 5636096 5242880 0.01875 0 0.075 0 0
+393216 0 2 0 0 5242880 5767168 5242880 0.01875 0 0.1 0 0
+393216 0 2 0 0 5242880 5898240 5242880 0.01875 0 0.125 0 0
+393216 0 2 0 0 5242880 6029312 5242880 0.01875 0 0.15 0 0
+393216 0 2 0 0 5242880 6160384 5242880 0.01875 0 0.175 0 0
+393216 0 2 0 0 5242880 6291456 5242880 0.01875 0 0.2 0 0
+393216 0 2 0 0 5242880 6422528 5242880 0.01875 0 0.225 0 0
+393216 0 2 0 0 5242880 6553600 5242880 0.01875 0 0.25 0 0
+
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 5242880 0 5242880 0.025 0 -1 0 0
+524288 0 0 0 0 5242880 524288 5242880 0.025 0 -0.9 0 0
+524288 0 0 0 0 5242880 1048576 5242880 0.025 0 -0.8 0 0
+524288 0 0 0 0 5242880 1572864 5242880 0.025 0 -0.7 0 0
+524288 0 0 0 0 5242880 2097152 5242880 0.025 0 -0.6 0 0
+524288 0 0 0 0 5242880 2621440 5242880 0.025 0 -0.5 0 0
+524288 0 0 0 0 5242880 3145728 5242880 0.025 0 -0.4 0 0
+524288 0 0 0 0 5242880 3670016 5242880 0.025 0 -0.3 0 0
+524288 0 0 0 0 5242880 4194304 5242880 0.025 0 -0.2 0 0
+524288 0 0 0 0 5242880 4718592 5242880 0.025 0 -0.1 0 0
+524288 0 0 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 0 0 0 5242880 5767168 5242880 0.025 0 0.1 0 0
+524288 0 0 0 0 5242880 6291456 5242880 0.025 0 0.2 0 0
+524288 0 0 0 0 5242880 6815744 5242880 0.025 0 0.3 0 0
+524288 0 0 0 0 5242880 7340032 5242880 0.025 0 0.4 0 0
+524288 0 0 0 0 5242880 7864320 5242880 0.025 0 0.5 0 0
+524288 0 0 0 0 5242880 8388608 5242880 0.025 0 0.6 0 0
+524288 0 0 0 0 5242880 8912896 5242880 0.025 0 0.7 0 0
+524288 0 0 0 0 5242880 9437184 5242880 0.025 0 0.8 0 0
+524288 0 0 0 0 5242880 9961472 5242880 0.025 0 0.9 0 0
+524288 0 0 0 0 5242880 10485760 5242880 0.025 0 1 0 0
+
+
+# iteration 524288
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 1 0 0 5242880 2621440 5242880 0.025 0 -0.5 0 0
+524288 0 1 0 0 5242880 2883584 5242880 0.025 0 -0.45 0 0
+524288 0 1 0 0 5242880 3145728 5242880 0.025 0 -0.4 0 0
+524288 0 1 0 0 5242880 3407872 5242880 0.025 0 -0.35 0 0
+524288 0 1 0 0 5242880 3670016 5242880 0.025 0 -0.3 0 0
+524288 0 1 0 0 5242880 3932160 5242880 0.025 0 -0.25 0 0
+524288 0 1 0 0 5242880 4194304 5242880 0.025 0 -0.2 0 0
+524288 0 1 0 0 5242880 4456448 5242880 0.025 0 -0.15 0 0
+524288 0 1 0 0 5242880 4718592 5242880 0.025 0 -0.1 0 0
+524288 0 1 0 0 5242880 4980736 5242880 0.025 0 -0.05 0 0
+524288 0 1 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 1 0 0 5242880 5505024 5242880 0.025 0 0.05 0 0
+524288 0 1 0 0 5242880 5767168 5242880 0.025 0 0.1 0 0
+524288 0 1 0 0 5242880 6029312 5242880 0.025 0 0.15 0 0
+524288 0 1 0 0 5242880 6291456 5242880 0.025 0 0.2 0 0
+524288 0 1 0 0 5242880 6553600 5242880 0.025 0 0.25 0 0
+524288 0 1 0 0 5242880 6815744 5242880 0.025 0 0.3 0 0
+524288 0 1 0 0 5242880 7077888 5242880 0.025 0 0.35 0 0
+524288 0 1 0 0 5242880 7340032 5242880 0.025 0 0.4 0 0
+524288 0 1 0 0 5242880 7602176 5242880 0.025 0 0.45 0 0
+524288 0 1 0 0 5242880 7864320 5242880 0.025 0 0.5 0 0
+
+
+# iteration 524288
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 2 0 0 5242880 3932160 5242880 0.025 0 -0.25 0 0
+524288 0 2 0 0 5242880 4063232 5242880 0.025 0 -0.225 0 0
+524288 0 2 0 0 5242880 4194304 5242880 0.025 0 -0.2 0 0
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+524288 0 2 0 0 5242880 4456448 5242880 0.025 0 -0.15 0 0
+524288 0 2 0 0 5242880 4587520 5242880 0.025 0 -0.125 0 0
+524288 0 2 0 0 5242880 4718592 5242880 0.025 0 -0.1 0 0
+524288 0 2 0 0 5242880 4849664 5242880 0.025 0 -0.075 0 0
+524288 0 2 0 0 5242880 4980736 5242880 0.025 0 -0.05 0 0
+524288 0 2 0 0 5242880 5111808 5242880 0.025 0 -0.025 0 0
+524288 0 2 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 2 0 0 5242880 5373952 5242880 0.025 0 0.025 0 0
+524288 0 2 0 0 5242880 5505024 5242880 0.025 0 0.05 0 0
+524288 0 2 0 0 5242880 5636096 5242880 0.025 0 0.075 0 0
+524288 0 2 0 0 5242880 5767168 5242880 0.025 0 0.1 0 0
+524288 0 2 0 0 5242880 5898240 5242880 0.025 0 0.125 0 0
+524288 0 2 0 0 5242880 6029312 5242880 0.025 0 0.15 0 0
+524288 0 2 0 0 5242880 6160384 5242880 0.025 0 0.175 0 0
+524288 0 2 0 0 5242880 6291456 5242880 0.025 0 0.2 0 0
+524288 0 2 0 0 5242880 6422528 5242880 0.025 0 0.225 0 0
+524288 0 2 0 0 5242880 6553600 5242880 0.025 0 0.25 0 0
+
+
+# iteration 655360
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 2 0 0 5242880 3932160 5242880 0.03125 0 -0.25 0 0
+655360 0 2 0 0 5242880 4063232 5242880 0.03125 0 -0.225 0 0
+655360 0 2 0 0 5242880 4194304 5242880 0.03125 0 -0.2 0 0
+655360 0 2 0 0 5242880 4325376 5242880 0.03125 0 -0.175 0 0
+655360 0 2 0 0 5242880 4456448 5242880 0.03125 0 -0.15 0 0
+655360 0 2 0 0 5242880 4587520 5242880 0.03125 0 -0.125 0 0
+655360 0 2 0 0 5242880 4718592 5242880 0.03125 0 -0.1 0 0
+655360 0 2 0 0 5242880 4849664 5242880 0.03125 0 -0.075 0 0
+655360 0 2 0 0 5242880 4980736 5242880 0.03125 0 -0.05 0 0
+655360 0 2 0 0 5242880 5111808 5242880 0.03125 0 -0.025 0 0
+655360 0 2 0 0 5242880 5242880 5242880 0.03125 0 0 0 0
+655360 0 2 0 0 5242880 5373952 5242880 0.03125 0 0.025 0 0
+655360 0 2 0 0 5242880 5505024 5242880 0.03125 0 0.05 0 0
+655360 0 2 0 0 5242880 5636096 5242880 0.03125 0 0.075 0 0
+655360 0 2 0 0 5242880 5767168 5242880 0.03125 0 0.1 0 0
+655360 0 2 0 0 5242880 5898240 5242880 0.03125 0 0.125 0 0
+655360 0 2 0 0 5242880 6029312 5242880 0.03125 0 0.15 0 0
+655360 0 2 0 0 5242880 6160384 5242880 0.03125 0 0.175 0 0
+655360 0 2 0 0 5242880 6291456 5242880 0.03125 0 0.2 0 0
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+655360 0 2 0 0 5242880 6553600 5242880 0.03125 0 0.25 0 0
+
+
+# iteration 786432
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 1 0 0 5242880 2621440 5242880 0.0375 0 -0.5 0 0
+786432 0 1 0 0 5242880 2883584 5242880 0.0375 0 -0.45 0 0
+786432 0 1 0 0 5242880 3145728 5242880 0.0375 0 -0.4 0 0
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+786432 0 1 0 0 5242880 3670016 5242880 0.0375 0 -0.3 0 0
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+786432 0 1 0 0 5242880 4194304 5242880 0.0375 0 -0.2 0 0
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+786432 0 1 0 0 5242880 4718592 5242880 0.0375 0 -0.1 0 0
+786432 0 1 0 0 5242880 4980736 5242880 0.0375 0 -0.05 0 0
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+786432 0 1 0 0 5242880 5767168 5242880 0.0375 0 0.1 0 0
+786432 0 1 0 0 5242880 6029312 5242880 0.0375 0 0.15 0 0
+786432 0 1 0 0 5242880 6291456 5242880 0.0375 0 0.2 0 0
+786432 0 1 0 0 5242880 6553600 5242880 0.0375 0 0.25 0 0
+786432 0 1 0 0 5242880 6815744 5242880 0.0375 0 0.3 0 0
+786432 0 1 0 0 5242880 7077888 5242880 0.0375 0 0.35 0 0
+786432 0 1 0 0 5242880 7340032 5242880 0.0375 0 0.4 0 0
+786432 0 1 0 0 5242880 7602176 5242880 0.0375 0 0.45 0 0
+786432 0 1 0 0 5242880 7864320 5242880 0.0375 0 0.5 0 0
+
+
+# iteration 786432
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 2 0 0 5242880 3932160 5242880 0.0375 0 -0.25 0 0
+786432 0 2 0 0 5242880 4063232 5242880 0.0375 0 -0.225 0 0
+786432 0 2 0 0 5242880 4194304 5242880 0.0375 0 -0.2 0 0
+786432 0 2 0 0 5242880 4325376 5242880 0.0375 0 -0.175 0 0
+786432 0 2 0 0 5242880 4456448 5242880 0.0375 0 -0.15 0 0
+786432 0 2 0 0 5242880 4587520 5242880 0.0375 0 -0.125 0 0
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+786432 0 2 0 0 5242880 4849664 5242880 0.0375 0 -0.075 0 0
+786432 0 2 0 0 5242880 4980736 5242880 0.0375 0 -0.05 0 0
+786432 0 2 0 0 5242880 5111808 5242880 0.0375 0 -0.025 0 0
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+786432 0 2 0 0 5242880 5373952 5242880 0.0375 0 0.025 0 0
+786432 0 2 0 0 5242880 5505024 5242880 0.0375 0 0.05 0 0
+786432 0 2 0 0 5242880 5636096 5242880 0.0375 0 0.075 0 0
+786432 0 2 0 0 5242880 5767168 5242880 0.0375 0 0.1 0 0
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+786432 0 2 0 0 5242880 6029312 5242880 0.0375 0 0.15 0 0
+786432 0 2 0 0 5242880 6160384 5242880 0.0375 0 0.175 0 0
+786432 0 2 0 0 5242880 6291456 5242880 0.0375 0 0.2 0 0
+786432 0 2 0 0 5242880 6422528 5242880 0.0375 0 0.225 0 0
+786432 0 2 0 0 5242880 6553600 5242880 0.0375 0 0.25 0 0
+
+
+# iteration 917504
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 2 0 0 5242880 3932160 5242880 0.04375 0 -0.25 0 0
+917504 0 2 0 0 5242880 4063232 5242880 0.04375 0 -0.225 0 0
+917504 0 2 0 0 5242880 4194304 5242880 0.04375 0 -0.2 0 0
+917504 0 2 0 0 5242880 4325376 5242880 0.04375 0 -0.175 0 0
+917504 0 2 0 0 5242880 4456448 5242880 0.04375 0 -0.15 0 0
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+917504 0 2 0 0 5242880 4718592 5242880 0.04375 0 -0.1 0 0
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+917504 0 2 0 0 5242880 4980736 5242880 0.04375 0 -0.05 0 0
+917504 0 2 0 0 5242880 5111808 5242880 0.04375 0 -0.025 0 0
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+917504 0 2 0 0 5242880 5373952 5242880 0.04375 0 0.025 0 0
+917504 0 2 0 0 5242880 5505024 5242880 0.04375 0 0.05 0 0
+917504 0 2 0 0 5242880 5636096 5242880 0.04375 0 0.075 0 0
+917504 0 2 0 0 5242880 5767168 5242880 0.04375 0 0.1 0 0
+917504 0 2 0 0 5242880 5898240 5242880 0.04375 0 0.125 0 0
+917504 0 2 0 0 5242880 6029312 5242880 0.04375 0 0.15 0 0
+917504 0 2 0 0 5242880 6160384 5242880 0.04375 0 0.175 0 0
+917504 0 2 0 0 5242880 6291456 5242880 0.04375 0 0.2 0 0
+917504 0 2 0 0 5242880 6422528 5242880 0.04375 0 0.225 0 0
+917504 0 2 0 0 5242880 6553600 5242880 0.04375 0 0.25 0 0
+
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 5242880 0 5242880 0.05 0 -1 0 0
+1048576 0 0 0 0 5242880 524288 5242880 0.05 0 -0.9 0 0
+1048576 0 0 0 0 5242880 1048576 5242880 0.05 0 -0.8 0 0
+1048576 0 0 0 0 5242880 1572864 5242880 0.05 0 -0.7 0 0
+1048576 0 0 0 0 5242880 2097152 5242880 0.05 0 -0.6 0 0
+1048576 0 0 0 0 5242880 2621440 5242880 0.05 0 -0.5 0 0
+1048576 0 0 0 0 5242880 3145728 5242880 0.05 0 -0.4 0 0
+1048576 0 0 0 0 5242880 3670016 5242880 0.05 0 -0.3 0 0
+1048576 0 0 0 0 5242880 4194304 5242880 0.05 0 -0.2 0 0
+1048576 0 0 0 0 5242880 4718592 5242880 0.05 0 -0.1 0 0
+1048576 0 0 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 0 0 0 5242880 5767168 5242880 0.05 0 0.1 0 0
+1048576 0 0 0 0 5242880 6291456 5242880 0.05 0 0.2 0 0
+1048576 0 0 0 0 5242880 6815744 5242880 0.05 0 0.3 0 0
+1048576 0 0 0 0 5242880 7340032 5242880 0.05 0 0.4 0 0
+1048576 0 0 0 0 5242880 7864320 5242880 0.05 0 0.5 0 0
+1048576 0 0 0 0 5242880 8388608 5242880 0.05 0 0.6 0 0
+1048576 0 0 0 0 5242880 8912896 5242880 0.05 0 0.7 0 0
+1048576 0 0 0 0 5242880 9437184 5242880 0.05 0 0.8 0 0
+1048576 0 0 0 0 5242880 9961472 5242880 0.05 0 0.9 0 0
+1048576 0 0 0 0 5242880 10485760 5242880 0.05 0 1 0 0
+
+
+# iteration 1048576
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 1 0 0 5242880 2621440 5242880 0.05 0 -0.5 0 0
+1048576 0 1 0 0 5242880 2883584 5242880 0.05 0 -0.45 0 0
+1048576 0 1 0 0 5242880 3145728 5242880 0.05 0 -0.4 0 0
+1048576 0 1 0 0 5242880 3407872 5242880 0.05 0 -0.35 0 0
+1048576 0 1 0 0 5242880 3670016 5242880 0.05 0 -0.3 0 0
+1048576 0 1 0 0 5242880 3932160 5242880 0.05 0 -0.25 0 0
+1048576 0 1 0 0 5242880 4194304 5242880 0.05 0 -0.2 0 0
+1048576 0 1 0 0 5242880 4456448 5242880 0.05 0 -0.15 0 0
+1048576 0 1 0 0 5242880 4718592 5242880 0.05 0 -0.1 0 0
+1048576 0 1 0 0 5242880 4980736 5242880 0.05 0 -0.05 0 0
+1048576 0 1 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 1 0 0 5242880 5505024 5242880 0.05 0 0.05 0 0
+1048576 0 1 0 0 5242880 5767168 5242880 0.05 0 0.1 0 0
+1048576 0 1 0 0 5242880 6029312 5242880 0.05 0 0.15 0 0
+1048576 0 1 0 0 5242880 6291456 5242880 0.05 0 0.2 0 0
+1048576 0 1 0 0 5242880 6553600 5242880 0.05 0 0.25 0 0
+1048576 0 1 0 0 5242880 6815744 5242880 0.05 0 0.3 0 0
+1048576 0 1 0 0 5242880 7077888 5242880 0.05 0 0.35 0 0
+1048576 0 1 0 0 5242880 7340032 5242880 0.05 0 0.4 0 0
+1048576 0 1 0 0 5242880 7602176 5242880 0.05 0 0.45 0 0
+1048576 0 1 0 0 5242880 7864320 5242880 0.05 0 0.5 0 0
+
+
+# iteration 1048576
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 2 0 0 5242880 3932160 5242880 0.05 0 -0.25 0 0
+1048576 0 2 0 0 5242880 4063232 5242880 0.05 0 -0.225 0 0
+1048576 0 2 0 0 5242880 4194304 5242880 0.05 0 -0.2 0 0
+1048576 0 2 0 0 5242880 4325376 5242880 0.05 0 -0.175 0 0
+1048576 0 2 0 0 5242880 4456448 5242880 0.05 0 -0.15 0 0
+1048576 0 2 0 0 5242880 4587520 5242880 0.05 0 -0.125 0 0
+1048576 0 2 0 0 5242880 4718592 5242880 0.05 0 -0.1 0 0
+1048576 0 2 0 0 5242880 4849664 5242880 0.05 0 -0.075 0 0
+1048576 0 2 0 0 5242880 4980736 5242880 0.05 0 -0.05 0 0
+1048576 0 2 0 0 5242880 5111808 5242880 0.05 0 -0.025 0 0
+1048576 0 2 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 2 0 0 5242880 5373952 5242880 0.05 0 0.025 0 0
+1048576 0 2 0 0 5242880 5505024 5242880 0.05 0 0.05 0 0
+1048576 0 2 0 0 5242880 5636096 5242880 0.05 0 0.075 0 0
+1048576 0 2 0 0 5242880 5767168 5242880 0.05 0 0.1 0 0
+1048576 0 2 0 0 5242880 5898240 5242880 0.05 0 0.125 0 0
+1048576 0 2 0 0 5242880 6029312 5242880 0.05 0 0.15 0 0
+1048576 0 2 0 0 5242880 6160384 5242880 0.05 0 0.175 0 0
+1048576 0 2 0 0 5242880 6291456 5242880 0.05 0 0.2 0 0
+1048576 0 2 0 0 5242880 6422528 5242880 0.05 0 0.225 0 0
+1048576 0 2 0 0 5242880 6553600 5242880 0.05 0 0.25 0 0
+
+
+# iteration 1179648
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 2 0 0 5242880 3932160 5242880 0.05625 0 -0.25 0 0
+1179648 0 2 0 0 5242880 4063232 5242880 0.05625 0 -0.225 0 0
+1179648 0 2 0 0 5242880 4194304 5242880 0.05625 0 -0.2 0 0
+1179648 0 2 0 0 5242880 4325376 5242880 0.05625 0 -0.175 0 0
+1179648 0 2 0 0 5242880 4456448 5242880 0.05625 0 -0.15 0 0
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+1179648 0 2 0 0 5242880 4849664 5242880 0.05625 0 -0.075 0 0
+1179648 0 2 0 0 5242880 4980736 5242880 0.05625 0 -0.05 0 0
+1179648 0 2 0 0 5242880 5111808 5242880 0.05625 0 -0.025 0 0
+1179648 0 2 0 0 5242880 5242880 5242880 0.05625 0 0 0 0
+1179648 0 2 0 0 5242880 5373952 5242880 0.05625 0 0.025 0 0
+1179648 0 2 0 0 5242880 5505024 5242880 0.05625 0 0.05 0 0
+1179648 0 2 0 0 5242880 5636096 5242880 0.05625 0 0.075 0 0
+1179648 0 2 0 0 5242880 5767168 5242880 0.05625 0 0.1 0 0
+1179648 0 2 0 0 5242880 5898240 5242880 0.05625 0 0.125 0 0
+1179648 0 2 0 0 5242880 6029312 5242880 0.05625 0 0.15 0 0
+1179648 0 2 0 0 5242880 6160384 5242880 0.05625 0 0.175 0 0
+1179648 0 2 0 0 5242880 6291456 5242880 0.05625 0 0.2 0 0
+1179648 0 2 0 0 5242880 6422528 5242880 0.05625 0 0.225 0 0
+1179648 0 2 0 0 5242880 6553600 5242880 0.05625 0 0.25 0 0
+
+
+# iteration 1310720
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 1 0 0 5242880 2621440 5242880 0.0625 0 -0.5 0 0
+1310720 0 1 0 0 5242880 2883584 5242880 0.0625 0 -0.45 0 0
+1310720 0 1 0 0 5242880 3145728 5242880 0.0625 0 -0.4 0 0
+1310720 0 1 0 0 5242880 3407872 5242880 0.0625 0 -0.35 0 0
+1310720 0 1 0 0 5242880 3670016 5242880 0.0625 0 -0.3 0 0
+1310720 0 1 0 0 5242880 3932160 5242880 0.0625 0 -0.25 0 0
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+1310720 0 1 0 0 5242880 4456448 5242880 0.0625 0 -0.15 0 0
+1310720 0 1 0 0 5242880 4718592 5242880 0.0625 0 -0.1 0 0
+1310720 0 1 0 0 5242880 4980736 5242880 0.0625 0 -0.05 0 0
+1310720 0 1 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
+1310720 0 1 0 0 5242880 5505024 5242880 0.0625 0 0.05 0 0
+1310720 0 1 0 0 5242880 5767168 5242880 0.0625 0 0.1 0 0
+1310720 0 1 0 0 5242880 6029312 5242880 0.0625 0 0.15 0 0
+1310720 0 1 0 0 5242880 6291456 5242880 0.0625 0 0.2 0 0
+1310720 0 1 0 0 5242880 6553600 5242880 0.0625 0 0.25 0 0
+1310720 0 1 0 0 5242880 6815744 5242880 0.0625 0 0.3 0 0
+1310720 0 1 0 0 5242880 7077888 5242880 0.0625 0 0.35 0 0
+1310720 0 1 0 0 5242880 7340032 5242880 0.0625 0 0.4 0 0
+1310720 0 1 0 0 5242880 7602176 5242880 0.0625 0 0.45 0 0
+1310720 0 1 0 0 5242880 7864320 5242880 0.0625 0 0.5 0 0
+
+
+# iteration 1310720
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 2 0 0 5242880 3932160 5242880 0.0625 0 -0.25 0 0
+1310720 0 2 0 0 5242880 4063232 5242880 0.0625 0 -0.225 0 0
+1310720 0 2 0 0 5242880 4194304 5242880 0.0625 0 -0.2 0 0
+1310720 0 2 0 0 5242880 4325376 5242880 0.0625 0 -0.175 0 0
+1310720 0 2 0 0 5242880 4456448 5242880 0.0625 0 -0.15 0 0
+1310720 0 2 0 0 5242880 4587520 5242880 0.0625 0 -0.125 0 0
+1310720 0 2 0 0 5242880 4718592 5242880 0.0625 0 -0.1 0 0
+1310720 0 2 0 0 5242880 4849664 5242880 0.0625 0 -0.075 0 0
+1310720 0 2 0 0 5242880 4980736 5242880 0.0625 0 -0.05 0 0
+1310720 0 2 0 0 5242880 5111808 5242880 0.0625 0 -0.025 0 0
+1310720 0 2 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
+1310720 0 2 0 0 5242880 5373952 5242880 0.0625 0 0.025 0 0
+1310720 0 2 0 0 5242880 5505024 5242880 0.0625 0 0.05 0 0
+1310720 0 2 0 0 5242880 5636096 5242880 0.0625 0 0.075 0 0
+1310720 0 2 0 0 5242880 5767168 5242880 0.0625 0 0.1 0 0
+1310720 0 2 0 0 5242880 5898240 5242880 0.0625 0 0.125 0 0
+1310720 0 2 0 0 5242880 6029312 5242880 0.0625 0 0.15 0 0
+1310720 0 2 0 0 5242880 6160384 5242880 0.0625 0 0.175 0 0
+1310720 0 2 0 0 5242880 6291456 5242880 0.0625 0 0.2 0 0
+1310720 0 2 0 0 5242880 6422528 5242880 0.0625 0 0.225 0 0
+1310720 0 2 0 0 5242880 6553600 5242880 0.0625 0 0.25 0 0
+
+
+# iteration 1441792
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 2 0 0 5242880 3932160 5242880 0.06875 0 -0.25 0 0
+1441792 0 2 0 0 5242880 4063232 5242880 0.06875 0 -0.225 0 0
+1441792 0 2 0 0 5242880 4194304 5242880 0.06875 0 -0.2 0 0
+1441792 0 2 0 0 5242880 4325376 5242880 0.06875 0 -0.175 0 0
+1441792 0 2 0 0 5242880 4456448 5242880 0.06875 0 -0.15 0 0
+1441792 0 2 0 0 5242880 4587520 5242880 0.06875 0 -0.125 0 0
+1441792 0 2 0 0 5242880 4718592 5242880 0.06875 0 -0.1 0 0
+1441792 0 2 0 0 5242880 4849664 5242880 0.06875 0 -0.075 0 0
+1441792 0 2 0 0 5242880 4980736 5242880 0.06875 0 -0.05 0 0
+1441792 0 2 0 0 5242880 5111808 5242880 0.06875 0 -0.025 0 0
+1441792 0 2 0 0 5242880 5242880 5242880 0.06875 0 0 0 0
+1441792 0 2 0 0 5242880 5373952 5242880 0.06875 0 0.025 0 0
+1441792 0 2 0 0 5242880 5505024 5242880 0.06875 0 0.05 0 0
+1441792 0 2 0 0 5242880 5636096 5242880 0.06875 0 0.075 0 0
+1441792 0 2 0 0 5242880 5767168 5242880 0.06875 0 0.1 0 0
+1441792 0 2 0 0 5242880 5898240 5242880 0.06875 0 0.125 0 0
+1441792 0 2 0 0 5242880 6029312 5242880 0.06875 0 0.15 0 0
+1441792 0 2 0 0 5242880 6160384 5242880 0.06875 0 0.175 0 0
+1441792 0 2 0 0 5242880 6291456 5242880 0.06875 0 0.2 0 0
+1441792 0 2 0 0 5242880 6422528 5242880 0.06875 0 0.225 0 0
+1441792 0 2 0 0 5242880 6553600 5242880 0.06875 0 0.25 0 0
+
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 5242880 0 5242880 0.075 0 -1 0 0
+1572864 0 0 0 0 5242880 524288 5242880 0.075 0 -0.9 0 0
+1572864 0 0 0 0 5242880 1048576 5242880 0.075 0 -0.8 0 0
+1572864 0 0 0 0 5242880 1572864 5242880 0.075 0 -0.7 0 0
+1572864 0 0 0 0 5242880 2097152 5242880 0.075 0 -0.6 0 0
+1572864 0 0 0 0 5242880 2621440 5242880 0.075 0 -0.5 0 0
+1572864 0 0 0 0 5242880 3145728 5242880 0.075 0 -0.4 0 0
+1572864 0 0 0 0 5242880 3670016 5242880 0.075 0 -0.3 0 0
+1572864 0 0 0 0 5242880 4194304 5242880 0.075 0 -0.2 0 0
+1572864 0 0 0 0 5242880 4718592 5242880 0.075 0 -0.1 0 0
+1572864 0 0 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+1572864 0 0 0 0 5242880 5767168 5242880 0.075 0 0.1 0 0
+1572864 0 0 0 0 5242880 6291456 5242880 0.075 0 0.2 0 0
+1572864 0 0 0 0 5242880 6815744 5242880 0.075 0 0.3 0 0
+1572864 0 0 0 0 5242880 7340032 5242880 0.075 0 0.4 0 0
+1572864 0 0 0 0 5242880 7864320 5242880 0.075 0 0.5 0 0
+1572864 0 0 0 0 5242880 8388608 5242880 0.075 0 0.6 0 0
+1572864 0 0 0 0 5242880 8912896 5242880 0.075 0 0.7 0 0
+1572864 0 0 0 0 5242880 9437184 5242880 0.075 0 0.8 0 0
+1572864 0 0 0 0 5242880 9961472 5242880 0.075 0 0.9 0 0
+1572864 0 0 0 0 5242880 10485760 5242880 0.075 0 1 0 0
+
+
+# iteration 1572864
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 1 0 0 5242880 2621440 5242880 0.075 0 -0.5 0 0
+1572864 0 1 0 0 5242880 2883584 5242880 0.075 0 -0.45 0 0
+1572864 0 1 0 0 5242880 3145728 5242880 0.075 0 -0.4 0 0
+1572864 0 1 0 0 5242880 3407872 5242880 0.075 0 -0.35 0 0
+1572864 0 1 0 0 5242880 3670016 5242880 0.075 0 -0.3 0 0
+1572864 0 1 0 0 5242880 3932160 5242880 0.075 0 -0.25 0 0
+1572864 0 1 0 0 5242880 4194304 5242880 0.075 0 -0.2 0 0
+1572864 0 1 0 0 5242880 4456448 5242880 0.075 0 -0.15 0 0
+1572864 0 1 0 0 5242880 4718592 5242880 0.075 0 -0.1 0 0
+1572864 0 1 0 0 5242880 4980736 5242880 0.075 0 -0.05 0 0
+1572864 0 1 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+1572864 0 1 0 0 5242880 5505024 5242880 0.075 0 0.05 0 0
+1572864 0 1 0 0 5242880 5767168 5242880 0.075 0 0.1 0 0
+1572864 0 1 0 0 5242880 6029312 5242880 0.075 0 0.15 0 0
+1572864 0 1 0 0 5242880 6291456 5242880 0.075 0 0.2 0 0
+1572864 0 1 0 0 5242880 6553600 5242880 0.075 0 0.25 0 0
+1572864 0 1 0 0 5242880 6815744 5242880 0.075 0 0.3 0 0
+1572864 0 1 0 0 5242880 7077888 5242880 0.075 0 0.35 0 0
+1572864 0 1 0 0 5242880 7340032 5242880 0.075 0 0.4 0 0
+1572864 0 1 0 0 5242880 7602176 5242880 0.075 0 0.45 0 0
+1572864 0 1 0 0 5242880 7864320 5242880 0.075 0 0.5 0 0
+
+
+# iteration 1572864
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 2 0 0 5242880 3932160 5242880 0.075 0 -0.25 0 0
+1572864 0 2 0 0 5242880 4063232 5242880 0.075 0 -0.225 0 0
+1572864 0 2 0 0 5242880 4194304 5242880 0.075 0 -0.2 0 0
+1572864 0 2 0 0 5242880 4325376 5242880 0.075 0 -0.175 0 0
+1572864 0 2 0 0 5242880 4456448 5242880 0.075 0 -0.15 0 0
+1572864 0 2 0 0 5242880 4587520 5242880 0.075 0 -0.125 0 0
+1572864 0 2 0 0 5242880 4718592 5242880 0.075 0 -0.1 0 0
+1572864 0 2 0 0 5242880 4849664 5242880 0.075 0 -0.075 0 0
+1572864 0 2 0 0 5242880 4980736 5242880 0.075 0 -0.05 0 0
+1572864 0 2 0 0 5242880 5111808 5242880 0.075 0 -0.025 0 0
+1572864 0 2 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+1572864 0 2 0 0 5242880 5373952 5242880 0.075 0 0.025 0 0
+1572864 0 2 0 0 5242880 5505024 5242880 0.075 0 0.05 0 0
+1572864 0 2 0 0 5242880 5636096 5242880 0.075 0 0.075 0 0
+1572864 0 2 0 0 5242880 5767168 5242880 0.075 0 0.1 0 0
+1572864 0 2 0 0 5242880 5898240 5242880 0.075 0 0.125 0 0
+1572864 0 2 0 0 5242880 6029312 5242880 0.075 0 0.15 0 0
+1572864 0 2 0 0 5242880 6160384 5242880 0.075 0 0.175 0 0
+1572864 0 2 0 0 5242880 6291456 5242880 0.075 0 0.2 0 0
+1572864 0 2 0 0 5242880 6422528 5242880 0.075 0 0.225 0 0
+1572864 0 2 0 0 5242880 6553600 5242880 0.075 0 0.25 0 0
+
+
+# iteration 1703936
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 2 0 0 5242880 3932160 5242880 0.08125 0 -0.25 0 0
+1703936 0 2 0 0 5242880 4063232 5242880 0.08125 0 -0.225 0 0
+1703936 0 2 0 0 5242880 4194304 5242880 0.08125 0 -0.2 0 0
+1703936 0 2 0 0 5242880 4325376 5242880 0.08125 0 -0.175 0 0
+1703936 0 2 0 0 5242880 4456448 5242880 0.08125 0 -0.15 0 0
+1703936 0 2 0 0 5242880 4587520 5242880 0.08125 0 -0.125 0 0
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+1703936 0 2 0 0 5242880 4849664 5242880 0.08125 0 -0.075 0 0
+1703936 0 2 0 0 5242880 4980736 5242880 0.08125 0 -0.05 0 0
+1703936 0 2 0 0 5242880 5111808 5242880 0.08125 0 -0.025 0 0
+1703936 0 2 0 0 5242880 5242880 5242880 0.08125 0 0 0 0
+1703936 0 2 0 0 5242880 5373952 5242880 0.08125 0 0.025 0 0
+1703936 0 2 0 0 5242880 5505024 5242880 0.08125 0 0.05 0 0
+1703936 0 2 0 0 5242880 5636096 5242880 0.08125 0 0.075 0 0
+1703936 0 2 0 0 5242880 5767168 5242880 0.08125 0 0.1 0 0
+1703936 0 2 0 0 5242880 5898240 5242880 0.08125 0 0.125 0 0
+1703936 0 2 0 0 5242880 6029312 5242880 0.08125 0 0.15 0 0
+1703936 0 2 0 0 5242880 6160384 5242880 0.08125 0 0.175 0 0
+1703936 0 2 0 0 5242880 6291456 5242880 0.08125 0 0.2 0 0
+1703936 0 2 0 0 5242880 6422528 5242880 0.08125 0 0.225 0 0
+1703936 0 2 0 0 5242880 6553600 5242880 0.08125 0 0.25 0 0
+
+
+# iteration 1835008
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 1 0 0 5242880 2621440 5242880 0.0875 0 -0.5 0 0
+1835008 0 1 0 0 5242880 2883584 5242880 0.0875 0 -0.45 0 0
+1835008 0 1 0 0 5242880 3145728 5242880 0.0875 0 -0.4 0 0
+1835008 0 1 0 0 5242880 3407872 5242880 0.0875 0 -0.35 0 0
+1835008 0 1 0 0 5242880 3670016 5242880 0.0875 0 -0.3 0 0
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+1835008 0 1 0 0 5242880 4194304 5242880 0.0875 0 -0.2 0 0
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+1835008 0 1 0 0 5242880 4718592 5242880 0.0875 0 -0.1 0 0
+1835008 0 1 0 0 5242880 4980736 5242880 0.0875 0 -0.05 0 0
+1835008 0 1 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+1835008 0 1 0 0 5242880 5505024 5242880 0.0875 0 0.05 0 0
+1835008 0 1 0 0 5242880 5767168 5242880 0.0875 0 0.1 0 0
+1835008 0 1 0 0 5242880 6029312 5242880 0.0875 0 0.15 0 0
+1835008 0 1 0 0 5242880 6291456 5242880 0.0875 0 0.2 0 0
+1835008 0 1 0 0 5242880 6553600 5242880 0.0875 0 0.25 0 0
+1835008 0 1 0 0 5242880 6815744 5242880 0.0875 0 0.3 0 0
+1835008 0 1 0 0 5242880 7077888 5242880 0.0875 0 0.35 0 0
+1835008 0 1 0 0 5242880 7340032 5242880 0.0875 0 0.4 0 0
+1835008 0 1 0 0 5242880 7602176 5242880 0.0875 0 0.45 0 0
+1835008 0 1 0 0 5242880 7864320 5242880 0.0875 0 0.5 0 0
+
+
+# iteration 1835008
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 2 0 0 5242880 3932160 5242880 0.0875 0 -0.25 0 0
+1835008 0 2 0 0 5242880 4063232 5242880 0.0875 0 -0.225 0 0
+1835008 0 2 0 0 5242880 4194304 5242880 0.0875 0 -0.2 0 0
+1835008 0 2 0 0 5242880 4325376 5242880 0.0875 0 -0.175 0 0
+1835008 0 2 0 0 5242880 4456448 5242880 0.0875 0 -0.15 0 0
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+1835008 0 2 0 0 5242880 4849664 5242880 0.0875 0 -0.075 0 0
+1835008 0 2 0 0 5242880 4980736 5242880 0.0875 0 -0.05 0 0
+1835008 0 2 0 0 5242880 5111808 5242880 0.0875 0 -0.025 0 0
+1835008 0 2 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+1835008 0 2 0 0 5242880 5373952 5242880 0.0875 0 0.025 0 0
+1835008 0 2 0 0 5242880 5505024 5242880 0.0875 0 0.05 0 0
+1835008 0 2 0 0 5242880 5636096 5242880 0.0875 0 0.075 0 0
+1835008 0 2 0 0 5242880 5767168 5242880 0.0875 0 0.1 0 0
+1835008 0 2 0 0 5242880 5898240 5242880 0.0875 0 0.125 0 0
+1835008 0 2 0 0 5242880 6029312 5242880 0.0875 0 0.15 0 0
+1835008 0 2 0 0 5242880 6160384 5242880 0.0875 0 0.175 0 0
+1835008 0 2 0 0 5242880 6291456 5242880 0.0875 0 0.2 0 0
+1835008 0 2 0 0 5242880 6422528 5242880 0.0875 0 0.225 0 0
+1835008 0 2 0 0 5242880 6553600 5242880 0.0875 0 0.25 0 0
+
+
+# iteration 1966080
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 2 0 0 5242880 3932160 5242880 0.09375 0 -0.25 0 0
+1966080 0 2 0 0 5242880 4063232 5242880 0.09375 0 -0.225 0 0
+1966080 0 2 0 0 5242880 4194304 5242880 0.09375 0 -0.2 0 0
+1966080 0 2 0 0 5242880 4325376 5242880 0.09375 0 -0.175 0 0
+1966080 0 2 0 0 5242880 4456448 5242880 0.09375 0 -0.15 0 0
+1966080 0 2 0 0 5242880 4587520 5242880 0.09375 0 -0.125 0 0
+1966080 0 2 0 0 5242880 4718592 5242880 0.09375 0 -0.1 0 0
+1966080 0 2 0 0 5242880 4849664 5242880 0.09375 0 -0.075 0 0
+1966080 0 2 0 0 5242880 4980736 5242880 0.09375 0 -0.05 0 0
+1966080 0 2 0 0 5242880 5111808 5242880 0.09375 0 -0.025 0 0
+1966080 0 2 0 0 5242880 5242880 5242880 0.09375 0 0 0 0
+1966080 0 2 0 0 5242880 5373952 5242880 0.09375 0 0.025 0 0
+1966080 0 2 0 0 5242880 5505024 5242880 0.09375 0 0.05 0 0
+1966080 0 2 0 0 5242880 5636096 5242880 0.09375 0 0.075 0 0
+1966080 0 2 0 0 5242880 5767168 5242880 0.09375 0 0.1 0 0
+1966080 0 2 0 0 5242880 5898240 5242880 0.09375 0 0.125 0 0
+1966080 0 2 0 0 5242880 6029312 5242880 0.09375 0 0.15 0 0
+1966080 0 2 0 0 5242880 6160384 5242880 0.09375 0 0.175 0 0
+1966080 0 2 0 0 5242880 6291456 5242880 0.09375 0 0.2 0 0
+1966080 0 2 0 0 5242880 6422528 5242880 0.09375 0 0.225 0 0
+1966080 0 2 0 0 5242880 6553600 5242880 0.09375 0 0.25 0 0
+
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 5242880 0 5242880 0.1 0 -1 0 0
+2097152 0 0 0 0 5242880 524288 5242880 0.1 0 -0.9 0 0
+2097152 0 0 0 0 5242880 1048576 5242880 0.1 0 -0.8 0 0
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+2097152 0 0 0 0 5242880 3145728 5242880 0.1 0 -0.4 0 0
+2097152 0 0 0 0 5242880 3670016 5242880 0.1 0 -0.3 0 0
+2097152 0 0 0 0 5242880 4194304 5242880 0.1 0 -0.2 0 0
+2097152 0 0 0 0 5242880 4718592 5242880 0.1 0 -0.1 0 0
+2097152 0 0 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 0 0 0 5242880 5767168 5242880 0.1 0 0.1 0 0
+2097152 0 0 0 0 5242880 6291456 5242880 0.1 0 0.2 0 0
+2097152 0 0 0 0 5242880 6815744 5242880 0.1 0 0.3 0 0
+2097152 0 0 0 0 5242880 7340032 5242880 0.1 0 0.4 0 0
+2097152 0 0 0 0 5242880 7864320 5242880 0.1 0 0.5 0 0
+2097152 0 0 0 0 5242880 8388608 5242880 0.1 0 0.6 0 0
+2097152 0 0 0 0 5242880 8912896 5242880 0.1 0 0.7 0 0
+2097152 0 0 0 0 5242880 9437184 5242880 0.1 0 0.8 0 0
+2097152 0 0 0 0 5242880 9961472 5242880 0.1 0 0.9 0 0
+2097152 0 0 0 0 5242880 10485760 5242880 0.1 0 1 0 0
+
+
+# iteration 2097152
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 1 0 0 5242880 2621440 5242880 0.1 0 -0.5 0 0
+2097152 0 1 0 0 5242880 2883584 5242880 0.1 0 -0.45 0 0
+2097152 0 1 0 0 5242880 3145728 5242880 0.1 0 -0.4 0 0
+2097152 0 1 0 0 5242880 3407872 5242880 0.1 0 -0.35 0 0
+2097152 0 1 0 0 5242880 3670016 5242880 0.1 0 -0.3 0 0
+2097152 0 1 0 0 5242880 3932160 5242880 0.1 0 -0.25 0 0
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+2097152 0 1 0 0 5242880 4718592 5242880 0.1 0 -0.1 0 0
+2097152 0 1 0 0 5242880 4980736 5242880 0.1 0 -0.05 0 0
+2097152 0 1 0 0 5242880 5242880 5242880 0.1 0 0 0 0
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+2097152 0 1 0 0 5242880 5767168 5242880 0.1 0 0.1 0 0
+2097152 0 1 0 0 5242880 6029312 5242880 0.1 0 0.15 0 0
+2097152 0 1 0 0 5242880 6291456 5242880 0.1 0 0.2 0 0
+2097152 0 1 0 0 5242880 6553600 5242880 0.1 0 0.25 0 0
+2097152 0 1 0 0 5242880 6815744 5242880 0.1 0 0.3 0 0
+2097152 0 1 0 0 5242880 7077888 5242880 0.1 0 0.35 0 0
+2097152 0 1 0 0 5242880 7340032 5242880 0.1 0 0.4 0 0
+2097152 0 1 0 0 5242880 7602176 5242880 0.1 0 0.45 0 0
+2097152 0 1 0 0 5242880 7864320 5242880 0.1 0 0.5 0 0
+
+
+# iteration 2097152
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 2 0 0 5242880 3932160 5242880 0.1 0 -0.25 0 0
+2097152 0 2 0 0 5242880 4063232 5242880 0.1 0 -0.225 0 0
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+2097152 0 2 0 0 5242880 6291456 5242880 0.1 0 0.2 0 0
+2097152 0 2 0 0 5242880 6422528 5242880 0.1 0 0.225 0 0
+2097152 0 2 0 0 5242880 6553600 5242880 0.1 0 0.25 0 0
+
+
diff --git a/Carpet/CarpetInterp/test/waveinterp/phiz.z.asc b/Carpet/CarpetInterp/test/waveinterp/phiz.z.asc
new file mode 100644
index 000000000..7c6d8e5da
--- /dev/null
+++ b/Carpet/CarpetInterp/test/waveinterp/phiz.z.asc
@@ -0,0 +1,808 @@
+# WAVEMOL::phiz z (phiz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 5242880 5242880 0 0 0 0 -1 0
+0 0 0 0 0 5242880 5242880 524288 0 0 0 -0.9 0
+0 0 0 0 0 5242880 5242880 1048576 0 0 0 -0.8 0
+0 0 0 0 0 5242880 5242880 1572864 0 0 0 -0.7 0
+0 0 0 0 0 5242880 5242880 2097152 0 0 0 -0.6 0
+0 0 0 0 0 5242880 5242880 2621440 0 0 0 -0.5 0
+0 0 0 0 0 5242880 5242880 3145728 0 0 0 -0.4 0
+0 0 0 0 0 5242880 5242880 3670016 0 0 0 -0.3 0
+0 0 0 0 0 5242880 5242880 4194304 0 0 0 -0.2 0
+0 0 0 0 0 5242880 5242880 4718592 0 0 0 -0.1 0
+0 0 0 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 0 0 0 5242880 5242880 5767168 0 0 0 0.1 0
+0 0 0 0 0 5242880 5242880 6291456 0 0 0 0.2 0
+0 0 0 0 0 5242880 5242880 6815744 0 0 0 0.3 0
+0 0 0 0 0 5242880 5242880 7340032 0 0 0 0.4 0
+0 0 0 0 0 5242880 5242880 7864320 0 0 0 0.5 0
+0 0 0 0 0 5242880 5242880 8388608 0 0 0 0.6 0
+0 0 0 0 0 5242880 5242880 8912896 0 0 0 0.7 0
+0 0 0 0 0 5242880 5242880 9437184 0 0 0 0.8 0
+0 0 0 0 0 5242880 5242880 9961472 0 0 0 0.9 0
+0 0 0 0 0 5242880 5242880 10485760 0 0 0 1 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 5242880 5242880 2621440 0 0 0 -0.5 0
+0 0 1 0 0 5242880 5242880 2883584 0 0 0 -0.45 0
+0 0 1 0 0 5242880 5242880 3145728 0 0 0 -0.4 0
+0 0 1 0 0 5242880 5242880 3407872 0 0 0 -0.35 0
+0 0 1 0 0 5242880 5242880 3670016 0 0 0 -0.3 0
+0 0 1 0 0 5242880 5242880 3932160 0 0 0 -0.25 0
+0 0 1 0 0 5242880 5242880 4194304 0 0 0 -0.2 0
+0 0 1 0 0 5242880 5242880 4456448 0 0 0 -0.15 0
+0 0 1 0 0 5242880 5242880 4718592 0 0 0 -0.1 0
+0 0 1 0 0 5242880 5242880 4980736 0 0 0 -0.05 0
+0 0 1 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 1 0 0 5242880 5242880 5505024 0 0 0 0.05 0
+0 0 1 0 0 5242880 5242880 5767168 0 0 0 0.1 0
+0 0 1 0 0 5242880 5242880 6029312 0 0 0 0.15 0
+0 0 1 0 0 5242880 5242880 6291456 0 0 0 0.2 0
+0 0 1 0 0 5242880 5242880 6553600 0 0 0 0.25 0
+0 0 1 0 0 5242880 5242880 6815744 0 0 0 0.3 0
+0 0 1 0 0 5242880 5242880 7077888 0 0 0 0.35 0
+0 0 1 0 0 5242880 5242880 7340032 0 0 0 0.4 0
+0 0 1 0 0 5242880 5242880 7602176 0 0 0 0.45 0
+0 0 1 0 0 5242880 5242880 7864320 0 0 0 0.5 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 5242880 5242880 3932160 0 0 0 -0.25 0
+0 0 2 0 0 5242880 5242880 4063232 0 0 0 -0.225 0
+0 0 2 0 0 5242880 5242880 4194304 0 0 0 -0.2 0
+0 0 2 0 0 5242880 5242880 4325376 0 0 0 -0.175 0
+0 0 2 0 0 5242880 5242880 4456448 0 0 0 -0.15 0
+0 0 2 0 0 5242880 5242880 4587520 0 0 0 -0.125 0
+0 0 2 0 0 5242880 5242880 4718592 0 0 0 -0.1 0
+0 0 2 0 0 5242880 5242880 4849664 0 0 0 -0.075 0
+0 0 2 0 0 5242880 5242880 4980736 0 0 0 -0.05 0
+0 0 2 0 0 5242880 5242880 5111808 0 0 0 -0.025 0
+0 0 2 0 0 5242880 5242880 5242880 0 0 0 0 0
+0 0 2 0 0 5242880 5242880 5373952 0 0 0 0.025 0
+0 0 2 0 0 5242880 5242880 5505024 0 0 0 0.05 0
+0 0 2 0 0 5242880 5242880 5636096 0 0 0 0.075 0
+0 0 2 0 0 5242880 5242880 5767168 0 0 0 0.1 0
+0 0 2 0 0 5242880 5242880 5898240 0 0 0 0.125 0
+0 0 2 0 0 5242880 5242880 6029312 0 0 0 0.15 0
+0 0 2 0 0 5242880 5242880 6160384 0 0 0 0.175 0
+0 0 2 0 0 5242880 5242880 6291456 0 0 0 0.2 0
+0 0 2 0 0 5242880 5242880 6422528 0 0 0 0.225 0
+0 0 2 0 0 5242880 5242880 6553600 0 0 0 0.25 0
+
+
+# iteration 131072
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+131072 0 2 0 0 5242880 5242880 3932160 0.00625 0 0 -0.25 8.51287040805251e-10
+131072 0 2 0 0 5242880 5242880 4063232 0.00625 0 0 -0.225 4.78848960452953e-10
+131072 0 2 0 0 5242880 5242880 4194304 0.00625 0 0 -0.2 0
+131072 0 2 0 0 5242880 5242880 4325376 0.00625 0 0 -0.175 2.43032142559095e-09
+131072 0 2 0 0 5242880 5242880 4456448 0.00625 0 0 -0.15 0
+131072 0 2 0 0 5242880 5242880 4587520 0.00625 0 0 -0.125 -2.23517417907715e-08
+131072 0 2 0 0 5242880 5242880 4718592 0.00625 0 0 -0.1 0
+131072 0 2 0 0 5242880 5242880 4849664 0.00625 0 0 -0.075 0
+131072 0 2 0 0 5242880 5242880 4980736 0.00625 0 0 -0.05 0
+131072 0 2 0 0 5242880 5242880 5111808 0.00625 0 0 -0.025 0
+131072 0 2 0 0 5242880 5242880 5242880 0.00625 0 0 0 0
+131072 0 2 0 0 5242880 5242880 5373952 0.00625 0 0 0.025 0
+131072 0 2 0 0 5242880 5242880 5505024 0.00625 0 0 0.05 0
+131072 0 2 0 0 5242880 5242880 5636096 0.00625 0 0 0.075 0
+131072 0 2 0 0 5242880 5242880 5767168 0.00625 0 0 0.1 0
+131072 0 2 0 0 5242880 5242880 5898240 0.00625 0 0 0.125 2.23517417907715e-08
+131072 0 2 0 0 5242880 5242880 6029312 0.00625 0 0 0.15 0
+131072 0 2 0 0 5242880 5242880 6160384 0.00625 0 0 0.175 -2.43032142559095e-09
+131072 0 2 0 0 5242880 5242880 6291456 0.00625 0 0 0.2 0
+131072 0 2 0 0 5242880 5242880 6422528 0.00625 0 0 0.225 -4.78848960452953e-10
+131072 0 2 0 0 5242880 5242880 6553600 0.00625 0 0 0.25 -8.51287040805251e-10
+
+
+# iteration 262144
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 1 0 0 5242880 5242880 2621440 0.0125 0 0 -0.5 0
+262144 0 1 0 0 5242880 5242880 2883584 0.0125 0 0 -0.45 0
+262144 0 1 0 0 5242880 5242880 3145728 0.0125 0 0 -0.4 0
+262144 0 1 0 0 5242880 5242880 3407872 0.0125 0 0 -0.35 1.94025536558925e-11
+262144 0 1 0 0 5242880 5242880 3670016 0.0125 0 0 -0.3 0
+262144 0 1 0 0 5242880 5242880 3932160 0.0125 0 0 -0.25 2.27009877548067e-09
+262144 0 1 0 0 5242880 5242880 4194304 0.0125 0 0 -0.2 0
+262144 0 1 0 0 5242880 5242880 4456448 0.0125 0 0 -0.15 0
+262144 0 1 0 0 5242880 5242880 4718592 0.0125 0 0 -0.1 3.88051095886096e-11
+262144 0 1 0 0 5242880 5242880 4980736 0.0125 0 0 -0.05 0
+262144 0 1 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+262144 0 1 0 0 5242880 5242880 5505024 0.0125 0 0 0.05 0
+262144 0 1 0 0 5242880 5242880 5767168 0.0125 0 0 0.1 -3.88051095886096e-11
+262144 0 1 0 0 5242880 5242880 6029312 0.0125 0 0 0.15 0
+262144 0 1 0 0 5242880 5242880 6291456 0.0125 0 0 0.2 0
+262144 0 1 0 0 5242880 5242880 6553600 0.0125 0 0 0.25 -2.27009877548067e-09
+262144 0 1 0 0 5242880 5242880 6815744 0.0125 0 0 0.3 0
+262144 0 1 0 0 5242880 5242880 7077888 0.0125 0 0 0.35 -1.94025536558925e-11
+262144 0 1 0 0 5242880 5242880 7340032 0.0125 0 0 0.4 0
+262144 0 1 0 0 5242880 5242880 7602176 0.0125 0 0 0.45 0
+262144 0 1 0 0 5242880 5242880 7864320 0.0125 0 0 0.5 0
+
+
+# iteration 262144
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+262144 0 2 0 0 5242880 5242880 3932160 0.0125 0 0 -0.25 2.27009877548067e-09
+262144 0 2 0 0 5242880 5242880 4063232 0.0125 0 0 -0.225 1.27693056120788e-09
+262144 0 2 0 0 5242880 5242880 4194304 0.0125 0 0 -0.2 0
+262144 0 2 0 0 5242880 5242880 4325376 0.0125 0 0 -0.175 -1.4430649281683e-10
+262144 0 2 0 0 5242880 5242880 4456448 0.0125 0 0 -0.15 0
+262144 0 2 0 0 5242880 5242880 4587520 0.0125 0 0 -0.125 2.18278741435929e-11
+262144 0 2 0 0 5242880 5242880 4718592 0.0125 0 0 -0.1 3.88051095886096e-11
+262144 0 2 0 0 5242880 5242880 4849664 0.0125 0 0 -0.075 -1.74622982740402e-10
+262144 0 2 0 0 5242880 5242880 4980736 0.0125 0 0 -0.05 0
+262144 0 2 0 0 5242880 5242880 5111808 0.0125 0 0 -0.025 0
+262144 0 2 0 0 5242880 5242880 5242880 0.0125 0 0 0 0
+262144 0 2 0 0 5242880 5242880 5373952 0.0125 0 0 0.025 0
+262144 0 2 0 0 5242880 5242880 5505024 0.0125 0 0 0.05 0
+262144 0 2 0 0 5242880 5242880 5636096 0.0125 0 0 0.075 1.74622982740402e-10
+262144 0 2 0 0 5242880 5242880 5767168 0.0125 0 0 0.1 -3.88051095886096e-11
+262144 0 2 0 0 5242880 5242880 5898240 0.0125 0 0 0.125 -2.18278741435929e-11
+262144 0 2 0 0 5242880 5242880 6029312 0.0125 0 0 0.15 0
+262144 0 2 0 0 5242880 5242880 6160384 0.0125 0 0 0.175 1.4430649281683e-10
+262144 0 2 0 0 5242880 5242880 6291456 0.0125 0 0 0.2 0
+262144 0 2 0 0 5242880 5242880 6422528 0.0125 0 0 0.225 -1.27693056120788e-09
+262144 0 2 0 0 5242880 5242880 6553600 0.0125 0 0 0.25 -2.27009877548067e-09
+
+
+# iteration 393216
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+393216 0 2 0 0 5242880 5242880 3932160 0.01875 0 0 -0.25 1.7025740816105e-09
+393216 0 2 0 0 5242880 5242880 4063232 0.01875 0 0 -0.225 9.59262773157592e-10
+393216 0 2 0 0 5242880 5242880 4194304 0.01875 0 0 -0.2 1.80060419699424e-11
+393216 0 2 0 0 5242880 5242880 4325376 0.01875 0 0 -0.175 -2.20306178830874e-11
+393216 0 2 0 0 5242880 5242880 4456448 0.01875 0 0 -0.15 1.37016741702522e-10
+393216 0 2 0 0 5242880 5242880 4587520 0.01875 0 0 -0.125 1.09369182438833e-10
+393216 0 2 0 0 5242880 5242880 4718592 0.01875 0 0 -0.1 -1.55569968944095e-10
+393216 0 2 0 0 5242880 5242880 4849664 0.01875 0 0 -0.075 -5.14533776696524e-10
+393216 0 2 0 0 5242880 5242880 4980736 0.01875 0 0 -0.05 -1.05031724058809e-14
+393216 0 2 0 0 5242880 5242880 5111808 0.01875 0 0 -0.025 -3.1663930736651e-12
+393216 0 2 0 0 5242880 5242880 5242880 0.01875 0 0 0 0
+393216 0 2 0 0 5242880 5242880 5373952 0.01875 0 0 0.025 3.1663930736651e-12
+393216 0 2 0 0 5242880 5242880 5505024 0.01875 0 0 0.05 1.05031724058809e-14
+393216 0 2 0 0 5242880 5242880 5636096 0.01875 0 0 0.075 5.14533776696524e-10
+393216 0 2 0 0 5242880 5242880 5767168 0.01875 0 0 0.1 1.55569968944095e-10
+393216 0 2 0 0 5242880 5242880 5898240 0.01875 0 0 0.125 -1.09369182438833e-10
+393216 0 2 0 0 5242880 5242880 6029312 0.01875 0 0 0.15 -1.37016741702522e-10
+393216 0 2 0 0 5242880 5242880 6160384 0.01875 0 0 0.175 2.20306178830874e-11
+393216 0 2 0 0 5242880 5242880 6291456 0.01875 0 0 0.2 -1.80060419699424e-11
+393216 0 2 0 0 5242880 5242880 6422528 0.01875 0 0 0.225 -9.59262773157592e-10
+393216 0 2 0 0 5242880 5242880 6553600 0.01875 0 0 0.25 -1.7025740816105e-09
+
+
+# iteration 524288
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 0 0 0 5242880 5242880 0 0.025 0 0 -1 0
+524288 0 0 0 0 5242880 5242880 524288 0.025 0 0 -0.9 0
+524288 0 0 0 0 5242880 5242880 1048576 0.025 0 0 -0.8 0
+524288 0 0 0 0 5242880 5242880 1572864 0.025 0 0 -0.7 0
+524288 0 0 0 0 5242880 5242880 2097152 0.025 0 0 -0.6 0
+524288 0 0 0 0 5242880 5242880 2621440 0.025 0 0 -0.5 0
+524288 0 0 0 0 5242880 5242880 3145728 0.025 0 0 -0.4 0
+524288 0 0 0 0 5242880 5242880 3670016 0.025 0 0 -0.3 0
+524288 0 0 0 0 5242880 5242880 4194304 0.025 0 0 -0.2 4.80161119198463e-11
+524288 0 0 0 0 5242880 5242880 4718592 0.025 0 0 -0.1 -3.71976833594504e-10
+524288 0 0 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 0 0 0 5242880 5242880 5767168 0.025 0 0 0.1 3.71976833594504e-10
+524288 0 0 0 0 5242880 5242880 6291456 0.025 0 0 0.2 -4.80161119198463e-11
+524288 0 0 0 0 5242880 5242880 6815744 0.025 0 0 0.3 0
+524288 0 0 0 0 5242880 5242880 7340032 0.025 0 0 0.4 0
+524288 0 0 0 0 5242880 5242880 7864320 0.025 0 0 0.5 0
+524288 0 0 0 0 5242880 5242880 8388608 0.025 0 0 0.6 0
+524288 0 0 0 0 5242880 5242880 8912896 0.025 0 0 0.7 0
+524288 0 0 0 0 5242880 5242880 9437184 0.025 0 0 0.8 0
+524288 0 0 0 0 5242880 5242880 9961472 0.025 0 0 0.9 0
+524288 0 0 0 0 5242880 5242880 10485760 0.025 0 0 1 0
+
+
+# iteration 524288
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 1 0 0 5242880 5242880 2621440 0.025 0 0 -0.5 0
+524288 0 1 0 0 5242880 5242880 2883584 0.025 0 0 -0.45 0
+524288 0 1 0 0 5242880 5242880 3145728 0.025 0 0 -0.4 0
+524288 0 1 0 0 5242880 5242880 3407872 0.025 0 0 -0.35 -3.0010069949904e-12
+524288 0 1 0 0 5242880 5242880 3670016 0.025 0 0 -0.3 0
+524288 0 1 0 0 5242880 5242880 3932160 0.025 0 0 -0.25 5.02576150545701e-11
+524288 0 1 0 0 5242880 5242880 4194304 0.025 0 0 -0.2 4.80161119198463e-11
+524288 0 1 0 0 5242880 5242880 4456448 0.025 0 0 -0.15 3.65377977873393e-10
+524288 0 1 0 0 5242880 5242880 4718592 0.025 0 0 -0.1 -3.71976833594504e-10
+524288 0 1 0 0 5242880 5242880 4980736 0.025 0 0 -0.05 -2.64427137593633e-12
+524288 0 1 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 1 0 0 5242880 5242880 5505024 0.025 0 0 0.05 2.64427137593633e-12
+524288 0 1 0 0 5242880 5242880 5767168 0.025 0 0 0.1 3.71976833594504e-10
+524288 0 1 0 0 5242880 5242880 6029312 0.025 0 0 0.15 -3.65377977873393e-10
+524288 0 1 0 0 5242880 5242880 6291456 0.025 0 0 0.2 -4.80161119198463e-11
+524288 0 1 0 0 5242880 5242880 6553600 0.025 0 0 0.25 -5.02576150545701e-11
+524288 0 1 0 0 5242880 5242880 6815744 0.025 0 0 0.3 0
+524288 0 1 0 0 5242880 5242880 7077888 0.025 0 0 0.35 3.0010069949904e-12
+524288 0 1 0 0 5242880 5242880 7340032 0.025 0 0 0.4 0
+524288 0 1 0 0 5242880 5242880 7602176 0.025 0 0 0.45 0
+524288 0 1 0 0 5242880 5242880 7864320 0.025 0 0 0.5 0
+
+
+# iteration 524288
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+524288 0 2 0 0 5242880 5242880 3932160 0.025 0 0 -0.25 5.02576150545701e-11
+524288 0 2 0 0 5242880 5242880 4063232 0.025 0 0 -0.225 3.24428478060221e-11
+524288 0 2 0 0 5242880 5242880 4194304 0.025 0 0 -0.2 4.80161119198463e-11
+524288 0 2 0 0 5242880 5242880 4325376 0.025 0 0 -0.175 2.52641626667443e-10
+524288 0 2 0 0 5242880 5242880 4456448 0.025 0 0 -0.15 3.65377977873393e-10
+524288 0 2 0 0 5242880 5242880 4587520 0.025 0 0 -0.125 -6.54759637711926e-12
+524288 0 2 0 0 5242880 5242880 4718592 0.025 0 0 -0.1 -3.71976833594504e-10
+524288 0 2 0 0 5242880 5242880 4849664 0.025 0 0 -0.075 -8.34775128651562e-10
+524288 0 2 0 0 5242880 5242880 4980736 0.025 0 0 -0.05 -2.64427137593633e-12
+524288 0 2 0 0 5242880 5242880 5111808 0.025 0 0 -0.025 -1.42062519155791e-11
+524288 0 2 0 0 5242880 5242880 5242880 0.025 0 0 0 0
+524288 0 2 0 0 5242880 5242880 5373952 0.025 0 0 0.025 1.42062519155791e-11
+524288 0 2 0 0 5242880 5242880 5505024 0.025 0 0 0.05 2.64427137593633e-12
+524288 0 2 0 0 5242880 5242880 5636096 0.025 0 0 0.075 8.34775128651562e-10
+524288 0 2 0 0 5242880 5242880 5767168 0.025 0 0 0.1 3.71976833594504e-10
+524288 0 2 0 0 5242880 5242880 5898240 0.025 0 0 0.125 6.54759637711926e-12
+524288 0 2 0 0 5242880 5242880 6029312 0.025 0 0 0.15 -3.65377977873393e-10
+524288 0 2 0 0 5242880 5242880 6160384 0.025 0 0 0.175 -2.52641626667443e-10
+524288 0 2 0 0 5242880 5242880 6291456 0.025 0 0 0.2 -4.80161119198463e-11
+524288 0 2 0 0 5242880 5242880 6422528 0.025 0 0 0.225 -3.24428478060221e-11
+524288 0 2 0 0 5242880 5242880 6553600 0.025 0 0 0.25 -5.02576150545701e-11
+
+
+# iteration 655360
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+655360 0 2 0 0 5242880 5242880 3932160 0.03125 0 0 -0.25 -2.03283184165604e-10
+655360 0 2 0 0 5242880 5242880 4063232 0.03125 0 0 -0.225 -1.10218192534204e-10
+655360 0 2 0 0 5242880 5242880 4194304 0.03125 0 0 -0.2 6.71560801759896e-11
+655360 0 2 0 0 5242880 5242880 4325376 0.03125 0 0 -0.175 3.81864711955078e-10
+655360 0 2 0 0 5242880 5242880 4456448 0.03125 0 0 -0.15 5.43200962509205e-10
+655360 0 2 0 0 5242880 5242880 4587520 0.03125 0 0 -0.125 7.64770232818818e-11
+655360 0 2 0 0 5242880 5242880 4718592 0.03125 0 0 -0.1 -5.39370936802896e-10
+655360 0 2 0 0 5242880 5242880 4849664 0.03125 0 0 -0.075 -1.12595637443332e-09
+655360 0 2 0 0 5242880 5242880 4980736 0.03125 0 0 -0.05 -1.12561372260049e-11
+655360 0 2 0 0 5242880 5242880 5111808 0.03125 0 0 -0.025 -3.75721814771524e-11
+655360 0 2 0 0 5242880 5242880 5242880 0.03125 0 0 0 0
+655360 0 2 0 0 5242880 5242880 5373952 0.03125 0 0 0.025 3.75721814771524e-11
+655360 0 2 0 0 5242880 5242880 5505024 0.03125 0 0 0.05 1.12561372260049e-11
+655360 0 2 0 0 5242880 5242880 5636096 0.03125 0 0 0.075 1.12595637443332e-09
+655360 0 2 0 0 5242880 5242880 5767168 0.03125 0 0 0.1 5.39370936802896e-10
+655360 0 2 0 0 5242880 5242880 5898240 0.03125 0 0 0.125 -7.64770232818818e-11
+655360 0 2 0 0 5242880 5242880 6029312 0.03125 0 0 0.15 -5.43200962509205e-10
+655360 0 2 0 0 5242880 5242880 6160384 0.03125 0 0 0.175 -3.81864711955078e-10
+655360 0 2 0 0 5242880 5242880 6291456 0.03125 0 0 0.2 -6.71560801759896e-11
+655360 0 2 0 0 5242880 5242880 6422528 0.03125 0 0 0.225 1.10218192534204e-10
+655360 0 2 0 0 5242880 5242880 6553600 0.03125 0 0 0.25 2.03283184165604e-10
+
+
+# iteration 786432
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 1 0 0 5242880 5242880 2621440 0.0375 0 0 -0.5 -3.17246229286638e-14
+786432 0 1 0 0 5242880 5242880 2883584 0.0375 0 0 -0.45 1.04805866676244e-12
+786432 0 1 0 0 5242880 5242880 3145728 0.0375 0 0 -0.4 4.56771773182929e-13
+786432 0 1 0 0 5242880 5242880 3407872 0.0375 0 0 -0.35 -1.77414430260585e-11
+786432 0 1 0 0 5242880 5242880 3670016 0.0375 0 0 -0.3 -1.29435143159107e-11
+786432 0 1 0 0 5242880 5242880 3932160 0.0375 0 0 -0.25 1.14095870609471e-10
+786432 0 1 0 0 5242880 5242880 4194304 0.0375 0 0 -0.2 8.3050656629613e-11
+786432 0 1 0 0 5242880 5242880 4456448 0.0375 0 0 -0.15 7.1777994427776e-10
+786432 0 1 0 0 5242880 5242880 4718592 0.0375 0 0 -0.1 -6.90806513844085e-10
+786432 0 1 0 0 5242880 5242880 4980736 0.0375 0 0 -0.05 -2.86001292093552e-11
+786432 0 1 0 0 5242880 5242880 5242880 0.0375 0 0 0 0
+786432 0 1 0 0 5242880 5242880 5505024 0.0375 0 0 0.05 2.86001292093552e-11
+786432 0 1 0 0 5242880 5242880 5767168 0.0375 0 0 0.1 6.90806513844085e-10
+786432 0 1 0 0 5242880 5242880 6029312 0.0375 0 0 0.15 -7.1777994427776e-10
+786432 0 1 0 0 5242880 5242880 6291456 0.0375 0 0 0.2 -8.3050656629613e-11
+786432 0 1 0 0 5242880 5242880 6553600 0.0375 0 0 0.25 -1.14095870609471e-10
+786432 0 1 0 0 5242880 5242880 6815744 0.0375 0 0 0.3 1.29435143159107e-11
+786432 0 1 0 0 5242880 5242880 7077888 0.0375 0 0 0.35 1.77414430260585e-11
+786432 0 1 0 0 5242880 5242880 7340032 0.0375 0 0 0.4 -4.56771773182929e-13
+786432 0 1 0 0 5242880 5242880 7602176 0.0375 0 0 0.45 -1.04805866676244e-12
+786432 0 1 0 0 5242880 5242880 7864320 0.0375 0 0 0.5 3.17246229286638e-14
+
+
+# iteration 786432
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+786432 0 2 0 0 5242880 5242880 3932160 0.0375 0 0 -0.25 1.14095870609471e-10
+786432 0 2 0 0 5242880 5242880 4063232 0.0375 0 0 -0.225 6.68426446993694e-11
+786432 0 2 0 0 5242880 5242880 4194304 0.0375 0 0 -0.2 8.3050656629613e-11
+786432 0 2 0 0 5242880 5242880 4325376 0.0375 0 0 -0.175 4.8651162821256e-10
+786432 0 2 0 0 5242880 5242880 4456448 0.0375 0 0 -0.15 7.1777994427776e-10
+786432 0 2 0 0 5242880 5242880 4587520 0.0375 0 0 -0.125 1.17693966551757e-11
+786432 0 2 0 0 5242880 5242880 4718592 0.0375 0 0 -0.1 -6.90806513844085e-10
+786432 0 2 0 0 5242880 5242880 4849664 0.0375 0 0 -0.075 -1.37983248438278e-09
+786432 0 2 0 0 5242880 5242880 4980736 0.0375 0 0 -0.05 -2.86001292093552e-11
+786432 0 2 0 0 5242880 5242880 5111808 0.0375 0 0 -0.025 -7.6696357598216e-11
+786432 0 2 0 0 5242880 5242880 5242880 0.0375 0 0 0 0
+786432 0 2 0 0 5242880 5242880 5373952 0.0375 0 0 0.025 7.6696357598216e-11
+786432 0 2 0 0 5242880 5242880 5505024 0.0375 0 0 0.05 2.86001292093552e-11
+786432 0 2 0 0 5242880 5242880 5636096 0.0375 0 0 0.075 1.37983248438278e-09
+786432 0 2 0 0 5242880 5242880 5767168 0.0375 0 0 0.1 6.90806513844085e-10
+786432 0 2 0 0 5242880 5242880 5898240 0.0375 0 0 0.125 -1.17693966551757e-11
+786432 0 2 0 0 5242880 5242880 6029312 0.0375 0 0 0.15 -7.1777994427776e-10
+786432 0 2 0 0 5242880 5242880 6160384 0.0375 0 0 0.175 -4.8651162821256e-10
+786432 0 2 0 0 5242880 5242880 6291456 0.0375 0 0 0.2 -8.3050656629613e-11
+786432 0 2 0 0 5242880 5242880 6422528 0.0375 0 0 0.225 -6.68426446993694e-11
+786432 0 2 0 0 5242880 5242880 6553600 0.0375 0 0 0.25 -1.14095870609471e-10
+
+
+# iteration 917504
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+917504 0 2 0 0 5242880 5242880 3932160 0.04375 0 0 -0.25 1.55692360393826e-10
+917504 0 2 0 0 5242880 5242880 4063232 0.04375 0 0 -0.225 8.98292153340505e-11
+917504 0 2 0 0 5242880 5242880 4194304 0.04375 0 0 -0.2 9.87482959985408e-11
+917504 0 2 0 0 5242880 5242880 4325376 0.04375 0 0 -0.175 5.82061050143167e-10
+917504 0 2 0 0 5242880 5242880 4456448 0.04375 0 0 -0.15 8.7534961223934e-10
+917504 0 2 0 0 5242880 5242880 4587520 0.04375 0 0 -0.125 9.97820270600842e-11
+917504 0 2 0 0 5242880 5242880 4718592 0.04375 0 0 -0.1 -7.99350738378557e-10
+917504 0 2 0 0 5242880 5242880 4849664 0.04375 0 0 -0.075 -1.58914841471199e-09
+917504 0 2 0 0 5242880 5242880 4980736 0.04375 0 0 -0.05 -5.6796509625053e-11
+917504 0 2 0 0 5242880 5242880 5111808 0.04375 0 0 -0.025 -1.33697386495157e-10
+917504 0 2 0 0 5242880 5242880 5242880 0.04375 0 0 0 0
+917504 0 2 0 0 5242880 5242880 5373952 0.04375 0 0 0.025 1.33697386495157e-10
+917504 0 2 0 0 5242880 5242880 5505024 0.04375 0 0 0.05 5.6796509625053e-11
+917504 0 2 0 0 5242880 5242880 5636096 0.04375 0 0 0.075 1.58914841471199e-09
+917504 0 2 0 0 5242880 5242880 5767168 0.04375 0 0 0.1 7.99350738378557e-10
+917504 0 2 0 0 5242880 5242880 5898240 0.04375 0 0 0.125 -9.97820270600842e-11
+917504 0 2 0 0 5242880 5242880 6029312 0.04375 0 0 0.15 -8.7534961223934e-10
+917504 0 2 0 0 5242880 5242880 6160384 0.04375 0 0 0.175 -5.82061050143167e-10
+917504 0 2 0 0 5242880 5242880 6291456 0.04375 0 0 0.2 -9.87482959985408e-11
+917504 0 2 0 0 5242880 5242880 6422528 0.04375 0 0 0.225 -8.98292153340505e-11
+917504 0 2 0 0 5242880 5242880 6553600 0.04375 0 0 0.25 -1.55692360393826e-10
+
+
+# iteration 1048576
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 0 0 0 5242880 5242880 0 0.05 0 0 -1 0
+1048576 0 0 0 0 5242880 5242880 524288 0.05 0 0 -0.9 0
+1048576 0 0 0 0 5242880 5242880 1048576 0.05 0 0 -0.8 0
+1048576 0 0 0 0 5242880 5242880 1572864 0.05 0 0 -0.7 0
+1048576 0 0 0 0 5242880 5242880 2097152 0.05 0 0 -0.6 0
+1048576 0 0 0 0 5242880 5242880 2621440 0.05 0 0 -0.5 -8.45989944764369e-14
+1048576 0 0 0 0 5242880 5242880 3145728 0.05 0 0 -0.4 1.21805806182114e-12
+1048576 0 0 0 0 5242880 5242880 3670016 0.05 0 0 -0.3 -3.45160381757618e-11
+1048576 0 0 0 0 5242880 5242880 4194304 0.05 0 0 -0.2 1.13232846710165e-10
+1048576 0 0 0 0 5242880 5242880 4718592 0.05 0 0 -0.1 -8.77529424125889e-10
+1048576 0 0 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 0 0 0 5242880 5242880 5767168 0.05 0 0 0.1 8.77529424125889e-10
+1048576 0 0 0 0 5242880 5242880 6291456 0.05 0 0 0.2 -1.13232846710165e-10
+1048576 0 0 0 0 5242880 5242880 6815744 0.05 0 0 0.3 3.45160381757618e-11
+1048576 0 0 0 0 5242880 5242880 7340032 0.05 0 0 0.4 -1.21805806182114e-12
+1048576 0 0 0 0 5242880 5242880 7864320 0.05 0 0 0.5 8.45989944764369e-14
+1048576 0 0 0 0 5242880 5242880 8388608 0.05 0 0 0.6 0
+1048576 0 0 0 0 5242880 5242880 8912896 0.05 0 0 0.7 0
+1048576 0 0 0 0 5242880 5242880 9437184 0.05 0 0 0.8 0
+1048576 0 0 0 0 5242880 5242880 9961472 0.05 0 0 0.9 0
+1048576 0 0 0 0 5242880 5242880 10485760 0.05 0 0 1 0
+
+
+# iteration 1048576
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 1 0 0 5242880 5242880 2621440 0.05 0 0 -0.5 -8.45989944764369e-14
+1048576 0 1 0 0 5242880 5242880 2883584 0.05 0 0 -0.45 2.79482311136651e-12
+1048576 0 1 0 0 5242880 5242880 3145728 0.05 0 0 -0.4 1.21805806182114e-12
+1048576 0 1 0 0 5242880 5242880 3407872 0.05 0 0 -0.35 -2.58018792963222e-11
+1048576 0 1 0 0 5242880 5242880 3670016 0.05 0 0 -0.3 -3.45160381757618e-11
+1048576 0 1 0 0 5242880 5242880 3932160 0.05 0 0 -0.25 9.90476651796061e-11
+1048576 0 1 0 0 5242880 5242880 4194304 0.05 0 0 -0.2 1.13232846710165e-10
+1048576 0 1 0 0 5242880 5242880 4456448 0.05 0 0 -0.15 1.02049840337385e-09
+1048576 0 1 0 0 5242880 5242880 4718592 0.05 0 0 -0.1 -8.77529424125889e-10
+1048576 0 1 0 0 5242880 5242880 4980736 0.05 0 0 -0.05 -9.69948542780171e-11
+1048576 0 1 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 1 0 0 5242880 5242880 5505024 0.05 0 0 0.05 9.69948542780171e-11
+1048576 0 1 0 0 5242880 5242880 5767168 0.05 0 0 0.1 8.77529424125889e-10
+1048576 0 1 0 0 5242880 5242880 6029312 0.05 0 0 0.15 -1.02049840337385e-09
+1048576 0 1 0 0 5242880 5242880 6291456 0.05 0 0 0.2 -1.13232846710165e-10
+1048576 0 1 0 0 5242880 5242880 6553600 0.05 0 0 0.25 -9.90476651796061e-11
+1048576 0 1 0 0 5242880 5242880 6815744 0.05 0 0 0.3 3.45160381757618e-11
+1048576 0 1 0 0 5242880 5242880 7077888 0.05 0 0 0.35 2.58018792963222e-11
+1048576 0 1 0 0 5242880 5242880 7340032 0.05 0 0 0.4 -1.21805806182114e-12
+1048576 0 1 0 0 5242880 5242880 7602176 0.05 0 0 0.45 -2.79482311136651e-12
+1048576 0 1 0 0 5242880 5242880 7864320 0.05 0 0 0.5 8.45989944764369e-14
+
+
+# iteration 1048576
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1048576 0 2 0 0 5242880 5242880 3932160 0.05 0 0 -0.25 9.90476651796061e-11
+1048576 0 2 0 0 5242880 5242880 4063232 0.05 0 0 -0.225 5.77838901131156e-11
+1048576 0 2 0 0 5242880 5242880 4194304 0.05 0 0 -0.2 1.13232846710165e-10
+1048576 0 2 0 0 5242880 5242880 4325376 0.05 0 0 -0.175 6.86378938106402e-10
+1048576 0 2 0 0 5242880 5242880 4456448 0.05 0 0 -0.15 1.02049840337385e-09
+1048576 0 2 0 0 5242880 5242880 4587520 0.05 0 0 -0.125 7.940517629997e-11
+1048576 0 2 0 0 5242880 5242880 4718592 0.05 0 0 -0.1 -8.77529424125889e-10
+1048576 0 2 0 0 5242880 5242880 4849664 0.05 0 0 -0.075 -1.74812777216834e-09
+1048576 0 2 0 0 5242880 5242880 4980736 0.05 0 0 -0.05 -9.69948542780171e-11
+1048576 0 2 0 0 5242880 5242880 5111808 0.05 0 0 -0.025 -2.09176403050589e-10
+1048576 0 2 0 0 5242880 5242880 5242880 0.05 0 0 0 0
+1048576 0 2 0 0 5242880 5242880 5373952 0.05 0 0 0.025 2.09176403050589e-10
+1048576 0 2 0 0 5242880 5242880 5505024 0.05 0 0 0.05 9.69948542780171e-11
+1048576 0 2 0 0 5242880 5242880 5636096 0.05 0 0 0.075 1.74812777216834e-09
+1048576 0 2 0 0 5242880 5242880 5767168 0.05 0 0 0.1 8.77529424125889e-10
+1048576 0 2 0 0 5242880 5242880 5898240 0.05 0 0 0.125 -7.940517629997e-11
+1048576 0 2 0 0 5242880 5242880 6029312 0.05 0 0 0.15 -1.02049840337385e-09
+1048576 0 2 0 0 5242880 5242880 6160384 0.05 0 0 0.175 -6.86378938106402e-10
+1048576 0 2 0 0 5242880 5242880 6291456 0.05 0 0 0.2 -1.13232846710165e-10
+1048576 0 2 0 0 5242880 5242880 6422528 0.05 0 0 0.225 -5.77838901131156e-11
+1048576 0 2 0 0 5242880 5242880 6553600 0.05 0 0 0.25 -9.90476651796061e-11
+
+
+# iteration 1179648
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1179648 0 2 0 0 5242880 5242880 3932160 0.05625 0 0 -0.25 1.16100548303662e-10
+1179648 0 2 0 0 5242880 5242880 4063232 0.05625 0 0 -0.225 6.10234773446789e-11
+1179648 0 2 0 0 5242880 5242880 4194304 0.05625 0 0 -0.2 1.15569069071564e-10
+1179648 0 2 0 0 5242880 5242880 4325376 0.05625 0 0 -0.175 7.57218084160716e-10
+1179648 0 2 0 0 5242880 5242880 4456448 0.05625 0 0 -0.15 1.14978515973243e-09
+1179648 0 2 0 0 5242880 5242880 4587520 0.05625 0 0 -0.125 1.76389248042821e-10
+1179648 0 2 0 0 5242880 5242880 4718592 0.05625 0 0 -0.1 -9.02082302374948e-10
+1179648 0 2 0 0 5242880 5242880 4849664 0.05625 0 0 -0.075 -1.85227602700344e-09
+1179648 0 2 0 0 5242880 5242880 4980736 0.05625 0 0 -0.05 -1.4924199145024e-10
+1179648 0 2 0 0 5242880 5242880 5111808 0.05625 0 0 -0.025 -3.02089459928527e-10
+1179648 0 2 0 0 5242880 5242880 5242880 0.05625 0 0 0 0
+1179648 0 2 0 0 5242880 5242880 5373952 0.05625 0 0 0.025 3.02089459928527e-10
+1179648 0 2 0 0 5242880 5242880 5505024 0.05625 0 0 0.05 1.4924199145024e-10
+1179648 0 2 0 0 5242880 5242880 5636096 0.05625 0 0 0.075 1.85227602700344e-09
+1179648 0 2 0 0 5242880 5242880 5767168 0.05625 0 0 0.1 9.02082302374948e-10
+1179648 0 2 0 0 5242880 5242880 5898240 0.05625 0 0 0.125 -1.76389248042821e-10
+1179648 0 2 0 0 5242880 5242880 6029312 0.05625 0 0 0.15 -1.14978515973243e-09
+1179648 0 2 0 0 5242880 5242880 6160384 0.05625 0 0 0.175 -7.57218084160716e-10
+1179648 0 2 0 0 5242880 5242880 6291456 0.05625 0 0 0.2 -1.15569069071564e-10
+1179648 0 2 0 0 5242880 5242880 6422528 0.05625 0 0 0.225 -6.10234773446789e-11
+1179648 0 2 0 0 5242880 5242880 6553600 0.05625 0 0 0.25 -1.16100548303662e-10
+
+
+# iteration 1310720
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 1 0 0 5242880 5242880 2621440 0.0625 0 0 -0.5 -3.04437898501764e-13
+1310720 0 1 0 0 5242880 5242880 2883584 0.0625 0 0 -0.45 4.38967709837784e-12
+1310720 0 1 0 0 5242880 5242880 3145728 0.0625 0 0 -0.4 3.11205401726244e-12
+1310720 0 1 0 0 5242880 5242880 3407872 0.0625 0 0 -0.35 -3.66809800849549e-11
+1310720 0 1 0 0 5242880 5242880 3670016 0.0625 0 0 -0.3 -4.49737374078052e-11
+1310720 0 1 0 0 5242880 5242880 3932160 0.0625 0 0 -0.25 1.49538088653709e-10
+1310720 0 1 0 0 5242880 5242880 4194304 0.0625 0 0 -0.2 1.09402042980378e-10
+1310720 0 1 0 0 5242880 5242880 4456448 0.0625 0 0 -0.15 1.26435693396469e-09
+1310720 0 1 0 0 5242880 5242880 4718592 0.0625 0 0 -0.1 -8.82571386343993e-10
+1310720 0 1 0 0 5242880 5242880 4980736 0.0625 0 0 -0.05 -2.12154000385952e-10
+1310720 0 1 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
+1310720 0 1 0 0 5242880 5242880 5505024 0.0625 0 0 0.05 2.12154000385952e-10
+1310720 0 1 0 0 5242880 5242880 5767168 0.0625 0 0 0.1 8.82571386343993e-10
+1310720 0 1 0 0 5242880 5242880 6029312 0.0625 0 0 0.15 -1.26435693396469e-09
+1310720 0 1 0 0 5242880 5242880 6291456 0.0625 0 0 0.2 -1.09402042980378e-10
+1310720 0 1 0 0 5242880 5242880 6553600 0.0625 0 0 0.25 -1.49538088653709e-10
+1310720 0 1 0 0 5242880 5242880 6815744 0.0625 0 0 0.3 4.49737374078052e-11
+1310720 0 1 0 0 5242880 5242880 7077888 0.0625 0 0 0.35 3.66809800849549e-11
+1310720 0 1 0 0 5242880 5242880 7340032 0.0625 0 0 0.4 -3.11205401726244e-12
+1310720 0 1 0 0 5242880 5242880 7602176 0.0625 0 0 0.45 -4.38967709837784e-12
+1310720 0 1 0 0 5242880 5242880 7864320 0.0625 0 0 0.5 3.04437898501764e-13
+
+
+# iteration 1310720
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1310720 0 2 0 0 5242880 5242880 3932160 0.0625 0 0 -0.25 1.49538088653709e-10
+1310720 0 2 0 0 5242880 5242880 4063232 0.0625 0 0 -0.225 6.94423742593689e-11
+1310720 0 2 0 0 5242880 5242880 4194304 0.0625 0 0 -0.2 1.09402042980378e-10
+1310720 0 2 0 0 5242880 5242880 4325376 0.0625 0 0 -0.175 8.18554005637242e-10
+1310720 0 2 0 0 5242880 5242880 4456448 0.0625 0 0 -0.15 1.26435693396469e-09
+1310720 0 2 0 0 5242880 5242880 4587520 0.0625 0 0 -0.125 2.21176367874489e-10
+1310720 0 2 0 0 5242880 5242880 4718592 0.0625 0 0 -0.1 -8.82571386343993e-10
+1310720 0 2 0 0 5242880 5242880 4849664 0.0625 0 0 -0.075 -1.89863267700356e-09
+1310720 0 2 0 0 5242880 5242880 4980736 0.0625 0 0 -0.05 -2.12154000385952e-10
+1310720 0 2 0 0 5242880 5242880 5111808 0.0625 0 0 -0.025 -4.09720003295237e-10
+1310720 0 2 0 0 5242880 5242880 5242880 0.0625 0 0 0 0
+1310720 0 2 0 0 5242880 5242880 5373952 0.0625 0 0 0.025 4.09720003295237e-10
+1310720 0 2 0 0 5242880 5242880 5505024 0.0625 0 0 0.05 2.12154000385952e-10
+1310720 0 2 0 0 5242880 5242880 5636096 0.0625 0 0 0.075 1.89863267700356e-09
+1310720 0 2 0 0 5242880 5242880 5767168 0.0625 0 0 0.1 8.82571386343993e-10
+1310720 0 2 0 0 5242880 5242880 5898240 0.0625 0 0 0.125 -2.21176367874489e-10
+1310720 0 2 0 0 5242880 5242880 6029312 0.0625 0 0 0.15 -1.26435693396469e-09
+1310720 0 2 0 0 5242880 5242880 6160384 0.0625 0 0 0.175 -8.18554005637242e-10
+1310720 0 2 0 0 5242880 5242880 6291456 0.0625 0 0 0.2 -1.09402042980378e-10
+1310720 0 2 0 0 5242880 5242880 6422528 0.0625 0 0 0.225 -6.94423742593689e-11
+1310720 0 2 0 0 5242880 5242880 6553600 0.0625 0 0 0.25 -1.49538088653709e-10
+
+
+# iteration 1441792
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1441792 0 2 0 0 5242880 5242880 3932160 0.06875 0 0 -0.25 1.81307149993657e-10
+1441792 0 2 0 0 5242880 5242880 4063232 0.06875 0 0 -0.225 7.7773652278003e-11
+1441792 0 2 0 0 5242880 5242880 4194304 0.06875 0 0 -0.2 1.03259930987754e-10
+1441792 0 2 0 0 5242880 5242880 4325376 0.06875 0 0 -0.175 8.64003737307137e-10
+1441792 0 2 0 0 5242880 5242880 4456448 0.06875 0 0 -0.15 1.36522779944452e-09
+1441792 0 2 0 0 5242880 5242880 4587520 0.06875 0 0 -0.125 3.34266718489435e-10
+1441792 0 2 0 0 5242880 5242880 4718592 0.06875 0 0 -0.1 -8.06391597015418e-10
+1441792 0 2 0 0 5242880 5242880 4849664 0.06875 0 0 -0.075 -1.88530306181415e-09
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+1441792 0 2 0 0 5242880 5242880 5111808 0.06875 0 0 -0.025 -5.27734009270198e-10
+1441792 0 2 0 0 5242880 5242880 5242880 0.06875 0 0 0 0
+1441792 0 2 0 0 5242880 5242880 5373952 0.06875 0 0 0.025 5.27734009270198e-10
+1441792 0 2 0 0 5242880 5242880 5505024 0.06875 0 0 0.05 2.82855130521546e-10
+1441792 0 2 0 0 5242880 5242880 5636096 0.06875 0 0 0.075 1.88530306181415e-09
+1441792 0 2 0 0 5242880 5242880 5767168 0.06875 0 0 0.1 8.06391597015418e-10
+1441792 0 2 0 0 5242880 5242880 5898240 0.06875 0 0 0.125 -3.34266718489435e-10
+1441792 0 2 0 0 5242880 5242880 6029312 0.06875 0 0 0.15 -1.36522779944452e-09
+1441792 0 2 0 0 5242880 5242880 6160384 0.06875 0 0 0.175 -8.64003737307137e-10
+1441792 0 2 0 0 5242880 5242880 6291456 0.06875 0 0 0.2 -1.03259930987754e-10
+1441792 0 2 0 0 5242880 5242880 6422528 0.06875 0 0 0.225 -7.7773652278003e-11
+1441792 0 2 0 0 5242880 5242880 6553600 0.06875 0 0 0.25 -1.81307149993657e-10
+
+
+# iteration 1572864
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 0 0 0 5242880 5242880 0 0.075 0 0 -1 0
+1572864 0 0 0 0 5242880 5242880 524288 0.075 0 0 -0.9 0
+1572864 0 0 0 0 5242880 5242880 1048576 0.075 0 0 -0.8 0
+1572864 0 0 0 0 5242880 5242880 1572864 0.075 0 0 -0.7 -1.35771024053118e-15
+1572864 0 0 0 0 5242880 5242880 2097152 0.075 0 0 -0.6 1.98637402822518e-14
+1572864 0 0 0 0 5242880 5242880 2621440 0.075 0 0 -0.5 -6.42636407051829e-13
+1572864 0 0 0 0 5242880 5242880 3145728 0.075 0 0 -0.4 5.86269458905756e-12
+1572864 0 0 0 0 5242880 5242880 3670016 0.075 0 0 -0.3 -5.08978900692902e-11
+1572864 0 0 0 0 5242880 5242880 4194304 0.075 0 0 -0.2 9.43000122433091e-11
+1572864 0 0 0 0 5242880 5242880 4718592 0.075 0 0 -0.1 -6.75829822660567e-10
+1572864 0 0 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+1572864 0 0 0 0 5242880 5242880 5767168 0.075 0 0 0.1 6.75829822660567e-10
+1572864 0 0 0 0 5242880 5242880 6291456 0.075 0 0 0.2 -9.43000122433091e-11
+1572864 0 0 0 0 5242880 5242880 6815744 0.075 0 0 0.3 5.08978900692902e-11
+1572864 0 0 0 0 5242880 5242880 7340032 0.075 0 0 0.4 -5.86269458905756e-12
+1572864 0 0 0 0 5242880 5242880 7864320 0.075 0 0 0.5 6.42636407051829e-13
+1572864 0 0 0 0 5242880 5242880 8388608 0.075 0 0 0.6 -1.98637402822518e-14
+1572864 0 0 0 0 5242880 5242880 8912896 0.075 0 0 0.7 1.35771024053118e-15
+1572864 0 0 0 0 5242880 5242880 9437184 0.075 0 0 0.8 0
+1572864 0 0 0 0 5242880 5242880 9961472 0.075 0 0 0.9 0
+1572864 0 0 0 0 5242880 5242880 10485760 0.075 0 0 1 0
+
+
+# iteration 1572864
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 1 0 0 5242880 5242880 2621440 0.075 0 0 -0.5 -6.42636407051829e-13
+1572864 0 1 0 0 5242880 5242880 2883584 0.075 0 0 -0.45 6.11615937294123e-12
+1572864 0 1 0 0 5242880 5242880 3145728 0.075 0 0 -0.4 5.86269458905756e-12
+1572864 0 1 0 0 5242880 5242880 3407872 0.075 0 0 -0.35 -3.1185883447397e-11
+1572864 0 1 0 0 5242880 5242880 3670016 0.075 0 0 -0.3 -5.08978900692902e-11
+1572864 0 1 0 0 5242880 5242880 3932160 0.075 0 0 -0.25 6.6286639227355e-11
+1572864 0 1 0 0 5242880 5242880 4194304 0.075 0 0 -0.2 9.43000122433091e-11
+1572864 0 1 0 0 5242880 5242880 4456448 0.075 0 0 -0.15 1.45205973171395e-09
+1572864 0 1 0 0 5242880 5242880 4718592 0.075 0 0 -0.1 -6.75829822660567e-10
+1572864 0 1 0 0 5242880 5242880 4980736 0.075 0 0 -0.05 -3.56851564501752e-10
+1572864 0 1 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+1572864 0 1 0 0 5242880 5242880 5505024 0.075 0 0 0.05 3.56851564501752e-10
+1572864 0 1 0 0 5242880 5242880 5767168 0.075 0 0 0.1 6.75829822660567e-10
+1572864 0 1 0 0 5242880 5242880 6029312 0.075 0 0 0.15 -1.45205973171395e-09
+1572864 0 1 0 0 5242880 5242880 6291456 0.075 0 0 0.2 -9.43000122433091e-11
+1572864 0 1 0 0 5242880 5242880 6553600 0.075 0 0 0.25 -6.6286639227355e-11
+1572864 0 1 0 0 5242880 5242880 6815744 0.075 0 0 0.3 5.08978900692902e-11
+1572864 0 1 0 0 5242880 5242880 7077888 0.075 0 0 0.35 3.1185883447397e-11
+1572864 0 1 0 0 5242880 5242880 7340032 0.075 0 0 0.4 -5.86269458905756e-12
+1572864 0 1 0 0 5242880 5242880 7602176 0.075 0 0 0.45 -6.11615937294123e-12
+1572864 0 1 0 0 5242880 5242880 7864320 0.075 0 0 0.5 6.42636407051829e-13
+
+
+# iteration 1572864
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1572864 0 2 0 0 5242880 5242880 3932160 0.075 0 0 -0.25 6.6286639227355e-11
+1572864 0 2 0 0 5242880 5242880 4063232 0.075 0 0 -0.225 2.75737634945702e-12
+1572864 0 2 0 0 5242880 5242880 4194304 0.075 0 0 -0.2 9.43000122433091e-11
+1572864 0 2 0 0 5242880 5242880 4325376 0.075 0 0 -0.175 9.07923804940536e-10
+1572864 0 2 0 0 5242880 5242880 4456448 0.075 0 0 -0.15 1.45205973171395e-09
+1572864 0 2 0 0 5242880 5242880 4587520 0.075 0 0 -0.125 4.53038795858683e-10
+1572864 0 2 0 0 5242880 5242880 4718592 0.075 0 0 -0.1 -6.75829822660567e-10
+1572864 0 2 0 0 5242880 5242880 4849664 0.075 0 0 -0.075 -1.8117351507918e-09
+1572864 0 2 0 0 5242880 5242880 4980736 0.075 0 0 -0.05 -3.56851564501752e-10
+1572864 0 2 0 0 5242880 5242880 5111808 0.075 0 0 -0.025 -6.50323827196727e-10
+1572864 0 2 0 0 5242880 5242880 5242880 0.075 0 0 0 0
+1572864 0 2 0 0 5242880 5242880 5373952 0.075 0 0 0.025 6.50323827196727e-10
+1572864 0 2 0 0 5242880 5242880 5505024 0.075 0 0 0.05 3.56851564501752e-10
+1572864 0 2 0 0 5242880 5242880 5636096 0.075 0 0 0.075 1.8117351507918e-09
+1572864 0 2 0 0 5242880 5242880 5767168 0.075 0 0 0.1 6.75829822660567e-10
+1572864 0 2 0 0 5242880 5242880 5898240 0.075 0 0 0.125 -4.53038795858683e-10
+1572864 0 2 0 0 5242880 5242880 6029312 0.075 0 0 0.15 -1.45205973171395e-09
+1572864 0 2 0 0 5242880 5242880 6160384 0.075 0 0 0.175 -9.07923804940536e-10
+1572864 0 2 0 0 5242880 5242880 6291456 0.075 0 0 0.2 -9.43000122433091e-11
+1572864 0 2 0 0 5242880 5242880 6422528 0.075 0 0 0.225 -2.75737634945702e-12
+1572864 0 2 0 0 5242880 5242880 6553600 0.075 0 0 0.25 -6.6286639227355e-11
+
+
+# iteration 1703936
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1703936 0 2 0 0 5242880 5242880 3932160 0.08125 0 0 -0.25 6.96062224198494e-11
+1703936 0 2 0 0 5242880 5242880 4063232 0.08125 0 0 -0.225 -1.10388286118339e-11
+1703936 0 2 0 0 5242880 5242880 4194304 0.08125 0 0 -0.2 7.52374759716012e-11
+1703936 0 2 0 0 5242880 5242880 4325376 0.08125 0 0 -0.175 9.3008305679465e-10
+1703936 0 2 0 0 5242880 5242880 4456448 0.08125 0 0 -0.15 1.52889975737573e-09
+1703936 0 2 0 0 5242880 5242880 4587520 0.08125 0 0 -0.125 5.89320989216024e-10
+1703936 0 2 0 0 5242880 5242880 4718592 0.08125 0 0 -0.1 -4.94475691873812e-10
+1703936 0 2 0 0 5242880 5242880 4849664 0.08125 0 0 -0.075 -1.67817614897074e-09
+1703936 0 2 0 0 5242880 5242880 4980736 0.08125 0 0 -0.05 -4.281106418443e-10
+1703936 0 2 0 0 5242880 5242880 5111808 0.08125 0 0 -0.025 -7.70426056284634e-10
+1703936 0 2 0 0 5242880 5242880 5242880 0.08125 0 0 0 0
+1703936 0 2 0 0 5242880 5242880 5373952 0.08125 0 0 0.025 7.70426056284634e-10
+1703936 0 2 0 0 5242880 5242880 5505024 0.08125 0 0 0.05 4.281106418443e-10
+1703936 0 2 0 0 5242880 5242880 5636096 0.08125 0 0 0.075 1.67817614897074e-09
+1703936 0 2 0 0 5242880 5242880 5767168 0.08125 0 0 0.1 4.94475691873812e-10
+1703936 0 2 0 0 5242880 5242880 5898240 0.08125 0 0 0.125 -5.89320989216024e-10
+1703936 0 2 0 0 5242880 5242880 6029312 0.08125 0 0 0.15 -1.52889975737573e-09
+1703936 0 2 0 0 5242880 5242880 6160384 0.08125 0 0 0.175 -9.3008305679465e-10
+1703936 0 2 0 0 5242880 5242880 6291456 0.08125 0 0 0.2 -7.52374759716012e-11
+1703936 0 2 0 0 5242880 5242880 6422528 0.08125 0 0 0.225 1.10388286118339e-11
+1703936 0 2 0 0 5242880 5242880 6553600 0.08125 0 0 0.25 -6.96062224198494e-11
+
+
+# iteration 1835008
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 1 0 0 5242880 5242880 2621440 0.0875 0 0 -0.5 -1.14959691072114e-12
+1835008 0 1 0 0 5242880 5242880 2883584 0.0875 0 0 -0.45 7.22601572039165e-12
+1835008 0 1 0 0 5242880 5242880 3145728 0.0875 0 0 -0.4 9.22265678178953e-12
+1835008 0 1 0 0 5242880 5242880 3407872 0.0875 0 0 -0.35 -2.91131087878753e-11
+1835008 0 1 0 0 5242880 5242880 3670016 0.0875 0 0 -0.3 -4.30227031662326e-11
+1835008 0 1 0 0 5242880 5242880 3932160 0.0875 0 0 -0.25 1.02889344216125e-10
+1835008 0 1 0 0 5242880 5242880 4194304 0.0875 0 0 -0.2 4.8500592431111e-11
+1835008 0 1 0 0 5242880 5242880 4456448 0.0875 0 0 -0.15 1.59439886756226e-09
+1835008 0 1 0 0 5242880 5242880 4718592 0.0875 0 0 -0.1 -2.54991675922393e-10
+1835008 0 1 0 0 5242880 5242880 4980736 0.0875 0 0 -0.05 -4.89255647569594e-10
+1835008 0 1 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+1835008 0 1 0 0 5242880 5242880 5505024 0.0875 0 0 0.05 4.89255647569594e-10
+1835008 0 1 0 0 5242880 5242880 5767168 0.0875 0 0 0.1 2.54991675922393e-10
+1835008 0 1 0 0 5242880 5242880 6029312 0.0875 0 0 0.15 -1.59439886756226e-09
+1835008 0 1 0 0 5242880 5242880 6291456 0.0875 0 0 0.2 -4.8500592431111e-11
+1835008 0 1 0 0 5242880 5242880 6553600 0.0875 0 0 0.25 -1.02889344216125e-10
+1835008 0 1 0 0 5242880 5242880 6815744 0.0875 0 0 0.3 4.30227031662326e-11
+1835008 0 1 0 0 5242880 5242880 7077888 0.0875 0 0 0.35 2.91131087878753e-11
+1835008 0 1 0 0 5242880 5242880 7340032 0.0875 0 0 0.4 -9.22265678178953e-12
+1835008 0 1 0 0 5242880 5242880 7602176 0.0875 0 0 0.45 -7.22601572039165e-12
+1835008 0 1 0 0 5242880 5242880 7864320 0.0875 0 0 0.5 1.14959691072114e-12
+
+
+# iteration 1835008
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1835008 0 2 0 0 5242880 5242880 3932160 0.0875 0 0 -0.25 1.02889344216125e-10
+1835008 0 2 0 0 5242880 5242880 4063232 0.0875 0 0 -0.225 -1.18041709106814e-11
+1835008 0 2 0 0 5242880 5242880 4194304 0.0875 0 0 -0.2 4.8500592431111e-11
+1835008 0 2 0 0 5242880 5242880 4325376 0.0875 0 0 -0.175 9.33637341977913e-10
+1835008 0 2 0 0 5242880 5242880 4456448 0.0875 0 0 -0.15 1.59439886756226e-09
+1835008 0 2 0 0 5242880 5242880 4587520 0.0875 0 0 -0.125 7.8096373624358e-10
+1835008 0 2 0 0 5242880 5242880 4718592 0.0875 0 0 -0.1 -2.54991675922393e-10
+1835008 0 2 0 0 5242880 5242880 4849664 0.0875 0 0 -0.075 -1.48597429731427e-09
+1835008 0 2 0 0 5242880 5242880 4980736 0.0875 0 0 -0.05 -4.89255647569594e-10
+1835008 0 2 0 0 5242880 5242880 5111808 0.0875 0 0 -0.025 -8.8000695156835e-10
+1835008 0 2 0 0 5242880 5242880 5242880 0.0875 0 0 0 0
+1835008 0 2 0 0 5242880 5242880 5373952 0.0875 0 0 0.025 8.8000695156835e-10
+1835008 0 2 0 0 5242880 5242880 5505024 0.0875 0 0 0.05 4.89255647569594e-10
+1835008 0 2 0 0 5242880 5242880 5636096 0.0875 0 0 0.075 1.48597429731427e-09
+1835008 0 2 0 0 5242880 5242880 5767168 0.0875 0 0 0.1 2.54991675922393e-10
+1835008 0 2 0 0 5242880 5242880 5898240 0.0875 0 0 0.125 -7.8096373624358e-10
+1835008 0 2 0 0 5242880 5242880 6029312 0.0875 0 0 0.15 -1.59439886756226e-09
+1835008 0 2 0 0 5242880 5242880 6160384 0.0875 0 0 0.175 -9.33637341977913e-10
+1835008 0 2 0 0 5242880 5242880 6291456 0.0875 0 0 0.2 -4.8500592431111e-11
+1835008 0 2 0 0 5242880 5242880 6422528 0.0875 0 0 0.225 1.18041709106814e-11
+1835008 0 2 0 0 5242880 5242880 6553600 0.0875 0 0 0.25 -1.02889344216125e-10
+
+
+# iteration 1966080
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+1966080 0 2 0 0 5242880 5242880 3932160 0.09375 0 0 -0.25 1.34436501201734e-10
+1966080 0 2 0 0 5242880 5242880 4063232 0.09375 0 0 -0.225 -1.03885846193062e-11
+1966080 0 2 0 0 5242880 5242880 4194304 0.09375 0 0 -0.2 2.69188612372906e-11
+1966080 0 2 0 0 5242880 5242880 4325376 0.09375 0 0 -0.175 9.38286274781054e-10
+1966080 0 2 0 0 5242880 5242880 4456448 0.09375 0 0 -0.15 1.65348419736237e-09
+1966080 0 2 0 0 5242880 5242880 4587520 0.09375 0 0 -0.125 9.42916074141038e-10
+1966080 0 2 0 0 5242880 5242880 4718592 0.09375 0 0 -0.1 2.10926091407752e-11
+1966080 0 2 0 0 5242880 5242880 4849664 0.09375 0 0 -0.075 -1.23712620703209e-09
+1966080 0 2 0 0 5242880 5242880 4980736 0.09375 0 0 -0.05 -5.31834245624345e-10
+1966080 0 2 0 0 5242880 5242880 5111808 0.09375 0 0 -0.025 -9.7040738870439e-10
+1966080 0 2 0 0 5242880 5242880 5242880 0.09375 0 0 0 0
+1966080 0 2 0 0 5242880 5242880 5373952 0.09375 0 0 0.025 9.7040738870439e-10
+1966080 0 2 0 0 5242880 5242880 5505024 0.09375 0 0 0.05 5.31834245624345e-10
+1966080 0 2 0 0 5242880 5242880 5636096 0.09375 0 0 0.075 1.23712620703209e-09
+1966080 0 2 0 0 5242880 5242880 5767168 0.09375 0 0 0.1 -2.10926091407752e-11
+1966080 0 2 0 0 5242880 5242880 5898240 0.09375 0 0 0.125 -9.42916074141038e-10
+1966080 0 2 0 0 5242880 5242880 6029312 0.09375 0 0 0.15 -1.65348419736237e-09
+1966080 0 2 0 0 5242880 5242880 6160384 0.09375 0 0 0.175 -9.38286274781054e-10
+1966080 0 2 0 0 5242880 5242880 6291456 0.09375 0 0 0.2 -2.69188612372906e-11
+1966080 0 2 0 0 5242880 5242880 6422528 0.09375 0 0 0.225 1.03885846193062e-11
+1966080 0 2 0 0 5242880 5242880 6553600 0.09375 0 0 0.25 -1.34436501201734e-10
+
+
+# iteration 2097152
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 0 0 0 5242880 5242880 0 0.1 0 0 -1 0
+2097152 0 0 0 0 5242880 5242880 524288 0.1 0 0 -0.9 -2.31296463463574e-17
+2097152 0 0 0 0 5242880 5242880 1048576 0.1 0 0 -0.8 3.46944695195361e-16
+2097152 0 0 0 0 5242880 5242880 1572864 0.1 0 0 -0.7 -1.33434929772136e-14
+2097152 0 0 0 0 5242880 5242880 2097152 0.1 0 0 -0.6 1.30913798320383e-13
+2097152 0 0 0 0 5242880 5242880 2621440 0.1 0 0 -0.5 -1.80851861264486e-12
+2097152 0 0 0 0 5242880 5242880 3145728 0.1 0 0 -0.4 1.32743815939307e-11
+2097152 0 0 0 0 5242880 5242880 3670016 0.1 0 0 -0.3 -2.44367743632938e-11
+2097152 0 0 0 0 5242880 5242880 4194304 0.1 0 0 -0.2 6.21578251832252e-12
+2097152 0 0 0 0 5242880 5242880 4718592 0.1 0 0 -0.1 3.4977364523255e-10
+2097152 0 0 0 0 5242880 5242880 5242880 0.1 0 0 0 0
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+2097152 0 0 0 0 5242880 5242880 6291456 0.1 0 0 0.2 -6.21578251832252e-12
+2097152 0 0 0 0 5242880 5242880 6815744 0.1 0 0 0.3 2.44367743632938e-11
+2097152 0 0 0 0 5242880 5242880 7340032 0.1 0 0 0.4 -1.32743815939307e-11
+2097152 0 0 0 0 5242880 5242880 7864320 0.1 0 0 0.5 1.80851861264486e-12
+2097152 0 0 0 0 5242880 5242880 8388608 0.1 0 0 0.6 -1.30913798320383e-13
+2097152 0 0 0 0 5242880 5242880 8912896 0.1 0 0 0.7 1.33434929772136e-14
+2097152 0 0 0 0 5242880 5242880 9437184 0.1 0 0 0.8 -3.46944695195361e-16
+2097152 0 0 0 0 5242880 5242880 9961472 0.1 0 0 0.9 2.31296463463574e-17
+2097152 0 0 0 0 5242880 5242880 10485760 0.1 0 0 1 0
+
+
+# iteration 2097152
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 1 0 0 5242880 5242880 2621440 0.1 0 0 -0.5 -1.80851861264486e-12
+2097152 0 1 0 0 5242880 5242880 2883584 0.1 0 0 -0.45 7.96866421228411e-12
+2097152 0 1 0 0 5242880 5242880 3145728 0.1 0 0 -0.4 1.32743815939307e-11
+2097152 0 1 0 0 5242880 5242880 3407872 0.1 0 0 -0.35 -6.55429992687158e-12
+2097152 0 1 0 0 5242880 5242880 3670016 0.1 0 0 -0.3 -2.44367743632938e-11
+2097152 0 1 0 0 5242880 5242880 3932160 0.1 0 0 -0.25 -3.29398095894514e-11
+2097152 0 1 0 0 5242880 5242880 4194304 0.1 0 0 -0.2 6.21578251832252e-12
+2097152 0 1 0 0 5242880 5242880 4456448 0.1 0 0 -0.15 1.70451336841312e-09
+2097152 0 1 0 0 5242880 5242880 4718592 0.1 0 0 -0.1 3.4977364523255e-10
+2097152 0 1 0 0 5242880 5242880 4980736 0.1 0 0 -0.05 -5.46878123804569e-10
+2097152 0 1 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 1 0 0 5242880 5242880 5505024 0.1 0 0 0.05 5.46878123804569e-10
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+2097152 0 1 0 0 5242880 5242880 6029312 0.1 0 0 0.15 -1.70451336841312e-09
+2097152 0 1 0 0 5242880 5242880 6291456 0.1 0 0 0.2 -6.21578251832252e-12
+2097152 0 1 0 0 5242880 5242880 6553600 0.1 0 0 0.25 3.29398095894514e-11
+2097152 0 1 0 0 5242880 5242880 6815744 0.1 0 0 0.3 2.44367743632938e-11
+2097152 0 1 0 0 5242880 5242880 7077888 0.1 0 0 0.35 6.55429992687158e-12
+2097152 0 1 0 0 5242880 5242880 7340032 0.1 0 0 0.4 -1.32743815939307e-11
+2097152 0 1 0 0 5242880 5242880 7602176 0.1 0 0 0.45 -7.96866421228411e-12
+2097152 0 1 0 0 5242880 5242880 7864320 0.1 0 0 0.5 1.80851861264486e-12
+
+
+# iteration 2097152
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+2097152 0 2 0 0 5242880 5242880 3932160 0.1 0 0 -0.25 -3.29398095894514e-11
+2097152 0 2 0 0 5242880 5242880 4063232 0.1 0 0 -0.225 -1.20037052355624e-10
+2097152 0 2 0 0 5242880 5242880 4194304 0.1 0 0 -0.2 6.21578251832252e-12
+2097152 0 2 0 0 5242880 5242880 4325376 0.1 0 0 -0.175 9.4248303267124e-10
+2097152 0 2 0 0 5242880 5242880 4456448 0.1 0 0 -0.15 1.70451336841312e-09
+2097152 0 2 0 0 5242880 5242880 4587520 0.1 0 0 -0.125 1.18932784150608e-09
+2097152 0 2 0 0 5242880 5242880 4718592 0.1 0 0 -0.1 3.4977364523255e-10
+2097152 0 2 0 0 5242880 5242880 4849664 0.1 0 0 -0.075 -9.3463225122233e-10
+2097152 0 2 0 0 5242880 5242880 4980736 0.1 0 0 -0.05 -5.46878123804569e-10
+2097152 0 2 0 0 5242880 5242880 5111808 0.1 0 0 -0.025 -1.03273274654203e-09
+2097152 0 2 0 0 5242880 5242880 5242880 0.1 0 0 0 0
+2097152 0 2 0 0 5242880 5242880 5373952 0.1 0 0 0.025 1.03273274654203e-09
+2097152 0 2 0 0 5242880 5242880 5505024 0.1 0 0 0.05 5.46878123804569e-10
+2097152 0 2 0 0 5242880 5242880 5636096 0.1 0 0 0.075 9.3463225122233e-10
+2097152 0 2 0 0 5242880 5242880 5767168 0.1 0 0 0.1 -3.4977364523255e-10
+2097152 0 2 0 0 5242880 5242880 5898240 0.1 0 0 0.125 -1.18932784150608e-09
+2097152 0 2 0 0 5242880 5242880 6029312 0.1 0 0 0.15 -1.70451336841312e-09
+2097152 0 2 0 0 5242880 5242880 6160384 0.1 0 0 0.175 -9.4248303267124e-10
+2097152 0 2 0 0 5242880 5242880 6291456 0.1 0 0 0.2 -6.21578251832252e-12
+2097152 0 2 0 0 5242880 5242880 6422528 0.1 0 0 0.225 1.20037052355624e-10
+2097152 0 2 0 0 5242880 5242880 6553600 0.1 0 0 0.25 3.29398095894514e-11
+
+
diff --git a/Carpet/CarpetLib/COPYING b/Carpet/CarpetLib/COPYING
new file mode 100644
index 000000000..1942c4334
--- /dev/null
+++ b/Carpet/CarpetLib/COPYING
@@ -0,0 +1,341 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 59 Temple Place - Suite 330
+ Boston, MA 02111-1307, USA.
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
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+ Preamble
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+ The licenses for most software are designed to take away your
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+
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diff --git a/Carpet/CarpetLib/README b/Carpet/CarpetLib/README
new file mode 100644
index 000000000..050a838b0
--- /dev/null
+++ b/Carpet/CarpetLib/README
@@ -0,0 +1,8 @@
+Cactus Code Thorn CarpetLib
+Authors : Erik Schnetter <schnetter@uni-tuebingen.de>
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/README,v 1.3 2004/01/25 14:57:29 schnetter Exp $
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+This thorn contains the backend library that provides mesh refinement.
diff --git a/Carpet/CarpetLib/configuration.ccl b/Carpet/CarpetLib/configuration.ccl
new file mode 100644
index 000000000..1e2583eda
--- /dev/null
+++ b/Carpet/CarpetLib/configuration.ccl
@@ -0,0 +1,8 @@
+# Configuration definitions for thorn CarpetLib
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/configuration.ccl,v 1.1 2004/04/18 14:09:59 schnetter Exp $
+
+PROVIDES CarpetLib
+{
+ SCRIPT
+ LANG
+}
diff --git a/Carpet/CarpetLib/interface.ccl b/Carpet/CarpetLib/interface.ccl
new file mode 100644
index 000000000..593228e75
--- /dev/null
+++ b/Carpet/CarpetLib/interface.ccl
@@ -0,0 +1,22 @@
+# Interface definition for thorn CarpetLib
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/interface.ccl,v 1.5 2004/05/04 22:09:54 schnetter Exp $
+
+IMPLEMENTS: CarpetLib
+
+includes header: defs.hh in defs.hh
+includes header: dist.hh in dist.hh
+
+includes header: bbox.hh in bbox.hh
+includes header: bboxset.hh in bboxset.hh
+includes header: vect.hh in vect.hh
+
+includes header: data.hh in data.hh
+includes header: gdata.hh in gdata.hh
+
+includes header: dh.hh in dh.hh
+includes header: gf.hh in gf.hh
+includes header: ggf.hh in ggf.hh
+includes header: gh.hh in gh.hh
+includes header: th.hh in th.hh
+
+includes header: operators.hh in operators.hh
diff --git a/Carpet/CarpetLib/param.ccl b/Carpet/CarpetLib/param.ccl
new file mode 100644
index 000000000..1b4e14a87
--- /dev/null
+++ b/Carpet/CarpetLib/param.ccl
@@ -0,0 +1,24 @@
+# Parameter definitions for thorn CarpetLib
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/param.ccl,v 1.8 2004/05/21 18:13:41 schnetter Exp $
+
+private:
+
+BOOLEAN verbose "Print info to the screen" STEERABLE=always
+{
+} "no"
+
+BOOLEAN check_array_accesses "Check all array accesses in Fortran" STEERABLE=always
+{
+} "no"
+
+BOOLEAN barriers "Insert barriers at strategic places for debugging purposes (slows down execution)" STEERABLE=always
+{
+} "no"
+
+BOOLEAN output_bboxes "Output bounding box information to the screen" STEERABLE=always
+{
+} "no"
+
+BOOLEAN save_memory_during_regridding "Save some memory during regridding at the expense of speed"
+{
+} "no"
diff --git a/Carpet/CarpetLib/schedule.ccl b/Carpet/CarpetLib/schedule.ccl
new file mode 100644
index 000000000..ef0ff81a6
--- /dev/null
+++ b/Carpet/CarpetLib/schedule.ccl
@@ -0,0 +1,2 @@
+# Schedule definitions for thorn CarpetLib
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/schedule.ccl,v 1.2 2003/09/19 16:06:41 schnetter Exp $
diff --git a/Carpet/CarpetLib/src/bbox.cc b/Carpet/CarpetLib/src/bbox.cc
new file mode 100644
index 000000000..9269e042d
--- /dev/null
+++ b/Carpet/CarpetLib/src/bbox.cc
@@ -0,0 +1,270 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/bbox.cc,v 1.26 2004/06/26 15:08:09 schnetter Exp $
+
+#include <assert.h>
+
+#include <iostream>
+#include <limits>
+
+#include "defs.hh"
+#include "vect.hh"
+
+#include "bbox.hh"
+
+using namespace std;
+
+
+
+// Constructors
+template<class T, int D>
+bbox<T,D>::bbox (): _lower(T(1)), _upper(T(0)), _stride(T(1)) { }
+
+template<class T, int D>
+bbox<T,D>::bbox (const bbox& b)
+ : _lower(b._lower), _upper(b._upper), _stride(b._stride)
+{ }
+
+template<class T, int D>
+bbox<T,D>& bbox<T,D>::operator= (const bbox& b) {
+ _lower=b._lower; _upper=b._upper; _stride=b._stride;
+ return *this;
+}
+
+template<class T, int D>
+bbox<T,D>::bbox (const vect<T,D>& lower, const vect<T,D>& upper,
+ const vect<T,D>& stride)
+ : _lower(lower), _upper(upper), _stride(stride)
+{
+ assert (all(_stride>T(0)));
+ assert (all((_upper-_lower)%_stride == T(0)));
+ if (numeric_limits<T>::is_integer && numeric_limits<T>::is_signed) {
+ // prevent accidental wrap-around
+ assert (all(_lower < numeric_limits<T>::max() / 2));
+ assert (all(_lower > numeric_limits<T>::min() / 2));
+ assert (all(_upper < numeric_limits<T>::max() / 2));
+ assert (all(_upper > numeric_limits<T>::min() / 2));
+ }
+}
+
+// Accessors
+template<class T, int D>
+T bbox<T,D>::size () const {
+ if (empty()) return 0;
+// return prod((shape()+stride()-1)/stride());
+ const vect<T,D> sh((shape()+stride()-1)/stride());
+ T sz = 1, max = numeric_limits<T>::max();
+ for (int d=0; d<D; ++d) {
+ assert (sh[d] <= max);
+ sz *= sh[d];
+ max /= sh[d];
+ }
+ return sz;
+}
+
+// Queries
+template<class T, int D>
+bool bbox<T,D>::contains (const vect<T,D>& x) const {
+ return all(x>=lower() && x<=upper());
+}
+
+// Operators
+template<class T, int D>
+bool bbox<T,D>::operator== (const bbox& b) const {
+ if (empty() && b.empty()) return true;
+ assert (all(stride()==b.stride()));
+ return all(lower()==b.lower() && upper()==b.upper());
+}
+
+template<class T, int D>
+bool bbox<T,D>::operator!= (const bbox& b) const {
+ return ! (*this == b);
+}
+
+template<class T, int D>
+bool bbox<T,D>::operator< (const bbox& b) const {
+ // An arbitraty order: empty boxes come first, then sorted by lower
+ // bound, then by upper bound, then by coarseness
+ if (b.empty()) return false;
+ if (empty()) return true;
+ for (int d=D-1; d>=0; --d) {
+ if (lower()[d] < b.lower()[d]) return true;
+ if (lower()[d] > b.lower()[d]) return false;
+ }
+ for (int d=D-1; d>=0; --d) {
+ if (upper()[d] < b.upper()[d]) return true;
+ if (upper()[d] > b.upper()[d]) return false;
+ }
+ for (int d=D-1; d>=0; --d) {
+ if (stride()[d] > b.stride()[d]) return true;
+ if (stride()[d] < b.stride()[d]) return false;
+ }
+ return false;
+}
+
+template<class T, int D>
+bool bbox<T,D>::operator> (const bbox& b) const {
+ return b < *this;
+}
+
+template<class T, int D>
+bool bbox<T,D>::operator<= (const bbox& b) const {
+ return ! (b > *this);
+}
+
+template<class T, int D>
+bool bbox<T,D>::operator>= (const bbox& b) const {
+ return b <= *this;
+}
+
+// Intersection
+template<class T, int D>
+bbox<T,D> bbox<T,D>::operator& (const bbox& b) const {
+ assert (all(stride()==b.stride()));
+ vect<T,D> lo = max(lower(),b.lower());
+ vect<T,D> up = min(upper(),b.upper());
+ return bbox(lo,up,stride());
+}
+
+// Containment
+template<class T, int D>
+bool bbox<T,D>::is_contained_in (const bbox& b) const {
+ if (empty()) return true;
+ // no alignment check
+ return all(lower()>=b.lower() && upper()<=b.upper());
+}
+
+// Alignment check
+template<class T, int D>
+bool bbox<T,D>::is_aligned_with (const bbox& b) const {
+ return all(stride()==b.stride() && (lower()-b.lower()) % stride() == T(0));
+}
+
+// Expand the bbox a little by multiples of the stride
+template<class T, int D>
+bbox<T,D> bbox<T,D>::expand (const vect<T,D>& lo, const vect<T,D>& hi) const {
+ // Allow expansion only into directions where the extent is not negative
+ assert (all(lower()<=upper() || (lo==T(0) && hi==T(0))));
+ const vect<T,D> str = stride();
+ const vect<T,D> lb = lower() - lo * str;
+ const vect<T,D> ub = upper() + hi * str;
+ return bbox(lb,ub,str);
+}
+
+// Find the smallest b-compatible box around *this
+template<class T, int D>
+bbox<T,D> bbox<T,D>::expanded_for (const bbox& b) const {
+ if (empty()) return bbox(b.lower(), b.lower()-b.stride(), b.stride());
+ const vect<T,D> str = b.stride();
+ const vect<T,D> loff = ((lower() - b.lower()) % str + str) % str;
+ const vect<T,D> uoff = ((upper() - b.lower()) % str + str) % str;
+ const vect<T,D> lo = lower() - loff; // go outwards
+ const vect<T,D> up = upper() + (str - uoff) % str;
+ return bbox(lo,up,str);
+}
+
+// Find the largest b-compatible box inside *this
+template<class T, int D>
+bbox<T,D> bbox<T,D>::contracted_for (const bbox& b) const {
+ if (empty()) return bbox(b.lower(), b.lower()-b.stride(), b.stride());
+ const vect<T,D> str = b.stride();
+ const vect<T,D> loff = ((lower() - b.lower()) % str + str) % str;
+ const vect<T,D> uoff = ((upper() - b.lower()) % str + str) % str;
+ const vect<T,D> lo = lower() + (str - loff) % str; // go inwards
+ const vect<T,D> up = upper() - uoff;
+ return bbox(lo,up,str);
+}
+
+// Smallest bbox containing both boxes
+template<class T, int D>
+bbox<T,D> bbox<T,D>::expanded_containing (const bbox& b) const {
+ if (empty()) return b;
+ if (b.empty()) return *this;
+ assert (is_aligned_with(b));
+ const vect<T,D> lo = min(lower(), b.lower());
+ const vect<T,D> up = max(upper(), b.upper());
+ const vect<T,D> str = min(stride(), b.stride());
+ return bbox(lo,up,str);
+}
+
+// Iterators
+template<class T, int D>
+bbox<T,D>::iterator::iterator (const bbox& box, const vect<T,D>& pos)
+ : box(box), pos(pos) {
+ if (box.empty()) this->pos=box.upper();
+}
+
+template<class T, int D>
+bool bbox<T,D>::iterator::operator!= (const iterator& i) const {
+ return any(pos!=i.pos);
+}
+
+template<class T, int D>
+typename bbox<T,D>::iterator& bbox<T,D>::iterator::operator++ () {
+ for (int d=0; d<D; ++d) {
+ pos[d]+=box.stride()[d];
+ if (pos[d]<=box.upper()[d]) break;
+ pos[d]=box.lower()[d];
+ }
+ return *this;
+}
+
+template<class T, int D>
+typename bbox<T,D>::iterator bbox<T,D>::begin () const {
+ return iterator(*this, lower());
+}
+
+template<class T, int D>
+typename bbox<T,D>::iterator bbox<T,D>::end () const {
+ return iterator(*this, lower());
+}
+
+
+
+// Input
+template<class T,int D>
+void bbox<T,D>::input (istream& is) {
+ try {
+ skipws (is);
+ consume (is, '(');
+ is >> _lower;
+ skipws (is);
+ consume (is, ':');
+ is >> _upper;
+ skipws (is);
+ consume (is, ':');
+ is >> _stride;
+ skipws (is);
+ consume (is, ')');
+ } catch (input_error &err) {
+ cout << "Input error while reading a bbox" << endl;
+ throw err;
+ }
+ if (any(_stride<=T(0))) {
+ cout << "While reading the bbox " << *this << ":" << endl
+ << " The stride is not positive." << endl;
+ throw input_error();
+ }
+ if (any((_upper-_lower)%_stride != T(0))) {
+ cout << "While reading the bbox " << *this << ":" << endl
+ << " The stride does not evenly divide the extent." << endl;
+ throw input_error();
+ }
+ assert (all(_stride>T(0)));
+ assert (all((_upper-_lower)%_stride == T(0)));
+}
+
+
+
+// Output
+template<class T,int D>
+void bbox<T,D>::output (ostream& os) const {
+ os << "(" << lower() << ":" << upper() << ":" << stride() << ")";
+}
+
+
+
+// Note: We need all dimensions all the time.
+template class bbox<int,0>;
+template class bbox<int,1>;
+template class bbox<int,2>;
+template class bbox<int,3>;
+template class bbox<double,3>;
diff --git a/Carpet/CarpetLib/src/bbox.hh b/Carpet/CarpetLib/src/bbox.hh
new file mode 100644
index 000000000..e23d000ac
--- /dev/null
+++ b/Carpet/CarpetLib/src/bbox.hh
@@ -0,0 +1,171 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/bbox.hh,v 1.15 2004/04/18 13:03:44 schnetter Exp $
+
+#ifndef BBOX_HH
+#define BBOX_HH
+
+#include <iostream>
+
+#include "defs.hh"
+#include "vect.hh"
+
+using namespace std;
+
+
+
+// Forward declaration
+template<class T, int D> class bbox;
+
+// Input/Output
+template<class T, int D>
+istream& operator>> (istream& is, bbox<T,D>& b);
+template<class T, int D>
+ostream& operator<< (ostream& os, const bbox<T,D>& b);
+
+
+
+/**
+ * A bounding box, i.e. a rectangle with lower and upper bound and a
+ * stride.
+ */
+template<class T, int D>
+class bbox {
+
+ // Fields
+
+ /** Bounding box bounds and stride. The bounds are inclusive. */
+ vect<T,D> _lower, _upper, _stride;
+
+public:
+
+ // Constructors
+
+ /** Construct an empty bbox. */
+ bbox ();
+
+ /** Copy constructor. */
+ bbox (const bbox& b);
+
+ /** Assignment operator. */
+ bbox& operator= (const bbox& b);
+
+ /** Create a bbox from bounds and stride. */
+ bbox (const vect<T,D>& lower, const vect<T,D>& upper,
+ const vect<T,D>& stride);
+
+ // Accessors
+ // (Don't return references; *this might be a temporary)
+
+ /** Get lower bound. */
+ vect<T,D> lower () const { return _lower; }
+
+ /** Get upper bound. */
+ vect<T,D> upper () const { return _upper; }
+
+ /** Get stride. */
+ vect<T,D> stride () const { return _stride; }
+
+ /** Get the shape (or extent). */
+ vect<T,D> shape () const { return _upper - _lower + _stride; }
+
+ /** Determine whether the bbox is empty. */
+ bool empty() const {
+ return any(lower()>upper());
+ }
+
+ /** Return the size, which is the product of the shape. */
+ T size () const;
+
+ // Queries
+
+ /** Find out whether the bbox contains the point x. */
+ bool contains (const vect<T,D>& x) const;
+
+ // Operators
+ bool operator== (const bbox& b) const;
+ bool operator!= (const bbox& b) const;
+ bool operator< (const bbox& b) const;
+ bool operator> (const bbox& b) const;
+ bool operator<= (const bbox& b) const;
+ bool operator>= (const bbox& b) const;
+
+ /** Calculate the intersection (the set of common points) with the
+ bbox b. */
+ bbox operator& (const bbox& b) const;
+
+ /** Find out whether this bbox is contained in the bbox b. */
+ bool is_contained_in (const bbox& b) const;
+
+ /** Find out whether this bbox is aligned with the bbox b.
+ ("aligned" means that both bboxes have the same stride and that
+ their boundaries are commesurate.) */
+ bool is_aligned_with (const bbox& b) const;
+
+ /** Expand (enlarge) the bbox by multiples of the stride. */
+ bbox expand (const vect<T,D>& lo, const vect<T,D>& hi) const;
+
+ /** Find the smallest b-compatible box around this bbox.
+ ("compatible" means having the same stride.) */
+ bbox expanded_for (const bbox& b) const;
+
+ /** Find the largest b-compatible box inside this bbox. */
+ bbox contracted_for (const bbox& b) const;
+
+ /** Find the smallest bbox containing both boxes. */
+ bbox expanded_containing (const bbox<T,D>& b) const;
+
+ // Iterators
+
+ /** An iterator over all points in a bbox. */
+ class iterator {
+ protected:
+ /** The bbox over which we iterate. */
+ const bbox& box;
+ /** Current position. */
+ vect<T,D> pos;
+ public:
+ /** Constructor. */
+ iterator (const bbox& box, const vect<T,D>& pos);
+ /** Accessor. */
+ const vect<T,D>& operator* () const { return pos; }
+ /** Check whether the position is the same. */
+ bool operator!= (const iterator& i) const;
+ /** Advance. */
+ iterator& operator++ ();
+ };
+
+ /** Create an iterator that points to the first point in a bbox. */
+ iterator begin () const;
+ /** Create an iterator that points "after the last point" in a bbox,
+ which means that it also points to the first point. */
+ iterator end () const;
+
+ // Input/Output helpers
+ void input (istream& is);
+ void output (ostream& os) const;
+};
+
+
+
+// Input
+
+/** Read a formatted bbox from a stream. */
+template<class T,int D>
+inline istream& operator>> (istream& is, bbox<T,D>& b) {
+ b.input(is);
+ return is;
+}
+
+
+
+// Output
+
+/** Write a bbox formatted to a stream. */
+template<class T,int D>
+inline ostream& operator<< (ostream& os, const bbox<T,D>& b) {
+ b.output(os);
+ return os;
+}
+
+
+
+#endif // BBOX_HH
diff --git a/Carpet/CarpetLib/src/bboxset.cc b/Carpet/CarpetLib/src/bboxset.cc
new file mode 100644
index 000000000..94cf1997e
--- /dev/null
+++ b/Carpet/CarpetLib/src/bboxset.cc
@@ -0,0 +1,393 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/bboxset.cc,v 1.16 2004/06/13 22:46:48 schnetter Exp $
+
+#include <assert.h>
+
+#include <iostream>
+#include <limits>
+#include <set>
+#include <stack>
+
+#include "defs.hh"
+
+#include "bboxset.hh"
+
+using namespace std;
+
+
+
+// Constructors
+template<class T, int D>
+bboxset<T,D>::bboxset () {
+ assert (invariant());
+}
+
+template<class T, int D>
+bboxset<T,D>::bboxset (const box& b) {
+ if (!b.empty()) bs.insert(b);
+ assert (invariant());
+}
+
+template<class T, int D>
+bboxset<T,D>::bboxset (const bboxset& s): bs(s.bs) {
+ assert (invariant());
+}
+
+template<class T, int D>
+bboxset<T,D>::bboxset (const bset& bs): bs(bs) {
+ assert (invariant());
+}
+
+
+
+// Invariant
+template<class T, int D>
+bool bboxset<T,D>::invariant () const {
+ for (const_iterator bi=begin(); bi!=end(); ++bi) {
+ if ((*bi).empty()) return false;
+ if (! (*bi).is_aligned_with(*bs.begin())) return false;
+ // check for overlap (quadratic -- expensive)
+ for (const_iterator bi2=begin(); bi2!=bi; ++bi2) {
+ if (! ((*bi2) & (*bi)).empty()) return false;
+ }
+ }
+ return true;
+}
+
+
+
+// Normalisation
+template<class T, int D>
+void bboxset<T,D>::normalize () {
+ assert (invariant());
+ const int num_initial_boxes = bs.size();
+ int num_combined_boxes = 0;
+ stack<box> todo, done;
+ for (typename set<box>::const_iterator elt = bs.begin(); elt != bs.end(); ++elt) {
+ done.push (*elt);
+ }
+ // TODO: This will not catch all cases where bboxes can be combined.
+ for (int d=0; d<D; ++d) {
+ todo = done;
+ done = stack<box>();
+ while (! todo.empty()) {
+ restart:;
+ box item = todo.top();
+ todo.pop();
+ stack<box> work = done;
+ done = stack<box>();
+ while (! work.empty()) {
+ box comp = work.top();
+ work.pop();
+ {
+ assert (all(comp.stride() == item.stride()));
+ if (comp.upper()[d] + item.stride()[d] == item.lower()[d]) {
+ if (all((comp.lower() == item.lower()
+ && comp.upper() == item.upper()).replace (d, true))) {
+ box newbox = box(comp.lower(), item.upper(), item.stride());
+ todo.push (newbox);
+ while (! work.empty()) {
+ done.push (work.top());
+ work.pop();
+ }
+ ++num_combined_boxes;
+ goto restart;
+ }
+ }
+ if (item.upper()[d] + item.stride()[d] == comp.lower()[d]) {
+ if (all((comp.lower() == item.lower()
+ && comp.upper() == item.upper()).replace (d, true))) {
+ box newbox = box(item.lower(), comp.upper(), item.stride());
+ todo.push (newbox);
+ while (! work.empty()) {
+ done.push (work.top());
+ work.pop();
+ }
+ ++num_combined_boxes;
+ goto restart;
+ }
+ }
+ }
+ done.push (comp);
+ } // while work
+ done.push (item);
+ } // while todo
+ } // for d
+ bs.clear();
+ while (! done.empty()) {
+ bs.insert (done.top());
+ done.pop();
+ }
+ const int num_final_boxes = bs.size();
+ assert (num_initial_boxes - num_combined_boxes == num_final_boxes);
+ assert (invariant());
+}
+
+
+
+// Accessors
+template<class T, int D>
+T bboxset<T,D>::size () const {
+ T s=0;
+ for (const_iterator bi=begin(); bi!=end(); ++bi) {
+ const T bs = (*bi).size();
+ assert (numeric_limits<T>::max() - bs >= s);
+ s += bs;
+ }
+ return s;
+}
+
+
+
+// Add (bboxes that don't overlap)
+template<class T, int D>
+bboxset<T,D>& bboxset<T,D>::operator+= (const box& b) {
+ if (b.empty()) return *this;
+ // check for overlap
+ for (const_iterator bi=begin(); bi!=end(); ++bi) {
+ assert ((*bi & b).empty());
+ }
+ bs.insert(b);
+ assert (invariant());
+ return *this;
+}
+
+template<class T, int D>
+bboxset<T,D>& bboxset<T,D>::operator+= (const bboxset& s) {
+ for (const_iterator bi=s.begin(); bi!=s.end(); ++bi) {
+ *this += *bi;
+ }
+ assert (invariant());
+ return *this;
+}
+
+template<class T, int D>
+bboxset<T,D> bboxset<T,D>::operator+ (const box& b) const {
+ bboxset r(*this);
+ r += b;
+ assert (r.invariant());
+ return r;
+}
+
+template<class T, int D>
+bboxset<T,D> bboxset<T,D>::operator+ (const bboxset& s) const {
+ bboxset r(*this);
+ r += s;
+ assert (r.invariant());
+ return r;
+}
+
+template<class T, int D>
+bboxset<T,D> bboxset<T,D>::plus (const bbox<T,D>& b1, const bbox<T,D>& b2) {
+ return bboxset(b1) + b2;
+}
+
+template<class T, int D>
+bboxset<T,D> bboxset<T,D>::plus (const bbox<T,D>& b, const bboxset<T,D>& s) {
+ return s + b;
+}
+
+
+
+// Union
+template<class T, int D>
+bboxset<T,D>& bboxset<T,D>::operator|= (const box& b) {
+ *this += b - *this;
+ assert (invariant());
+ return *this;
+}
+
+template<class T, int D>
+bboxset<T,D>& bboxset<T,D>::operator|= (const bboxset& s) {
+ *this += s - *this;
+ assert (invariant());
+ return *this;
+}
+
+template<class T, int D>
+bboxset<T,D> bboxset<T,D>::operator| (const box& b) const {
+ bboxset r(*this);
+ r |= b;
+ assert (r.invariant());
+ return r;
+}
+
+template<class T, int D>
+bboxset<T,D> bboxset<T,D>::operator| (const bboxset& s) const {
+ bboxset r(*this);
+ r |= s;
+ assert (r.invariant());
+ return r;
+}
+
+
+
+// Intersection
+template<class T, int D>
+bboxset<T,D> bboxset<T,D>::operator& (const box& b) const {
+ // start with an empty set
+ bboxset r;
+ // walk all my elements
+ for (const_iterator bi=begin(); bi!=end(); ++bi) {
+ // insert the intersection with the bbox
+ r += *bi & b;
+ }
+ assert (r.invariant());
+ return r;
+}
+
+template<class T, int D>
+bboxset<T,D> bboxset<T,D>::operator& (const bboxset& s) const {
+ // start with an empty set
+ bboxset r;
+ // walk all the bboxes
+ for (const_iterator bi=s.begin(); bi!=s.end(); ++bi) {
+ // insert the intersection with this bbox
+ r += *this & *bi;
+ }
+ assert (r.invariant());
+ return r;
+}
+
+template<class T, int D>
+bboxset<T,D>& bboxset<T,D>::operator&= (const box& b) {
+ *this = *this & b;
+ assert (invariant());
+ return *this;
+}
+
+template<class T, int D>
+bboxset<T,D>& bboxset<T,D>::operator&= (const bboxset& s) {
+ *this = *this & s;
+ assert (invariant());
+ return *this;
+}
+
+
+
+// Difference
+template<class T, int D>
+bboxset<T,D> bboxset<T,D>::minus (const bbox<T,D>& b1, const bbox<T,D>& b2) {
+ assert (b1.is_aligned_with(b2));
+ if (b1.empty()) return bboxset<T,D>();
+ if (b2.empty()) return bboxset<T,D>(b1);
+ const vect<T,D> str = b1.stride();
+ bboxset<T,D> r;
+ for (int d=0; d<D; ++d) {
+ // make resulting bboxes as large as possible in x-direction (for
+ // better consumption by Fortranly ordered arrays)
+ vect<T,D> lb, ub;
+ bbox<T,D> b;
+ for (int dd=0; dd<D; ++dd) {
+ if (dd<d) {
+ lb[dd] = b2.lower()[dd];
+ ub[dd] = b2.upper()[dd];
+ } else if (dd>d) {
+ lb[dd] = b1.lower()[dd];
+ ub[dd] = b1.upper()[dd];
+ }
+ }
+ lb[d] = b1.lower()[d];
+ ub[d] = b2.lower()[d] - str[d];
+ b = bbox<T,D>(lb,ub,str) & b1;
+ r += b;
+ lb[d] = b2.upper()[d] + str[d];
+ ub[d] = b1.upper()[d];
+ b = bbox<T,D>(lb,ub,str) & b1;
+ r += b;
+ }
+ assert (r.invariant());
+ return r;
+}
+
+template<class T, int D>
+bboxset<T,D> bboxset<T,D>::operator- (const box& b) const {
+ // start with an empty set
+ bboxset r;
+ // walk all my elements
+ for (const_iterator bi=begin(); bi!=end(); ++bi) {
+ // insert the difference with the bbox
+ r += *bi - b;
+ }
+ assert (r.invariant());
+ return r;
+}
+
+template<class T, int D>
+bboxset<T,D>& bboxset<T,D>::operator-= (const box& b) {
+ *this = *this - b;
+ assert (invariant());
+ return *this;
+}
+
+template<class T, int D>
+bboxset<T,D>& bboxset<T,D>::operator-= (const bboxset& s) {
+ for (const_iterator bi=s.begin(); bi!=s.end(); ++bi) {
+ *this -= *bi;
+ }
+ assert (invariant());
+ return *this;
+}
+
+template<class T, int D>
+bboxset<T,D> bboxset<T,D>::operator- (const bboxset& s) const {
+ bboxset r(*this);
+ r -= s;
+ assert (r.invariant());
+ return r;
+}
+
+template<class T, int D>
+bboxset<T,D> bboxset<T,D>::minus (const bbox<T,D>& b, const bboxset<T,D>& s) {
+ bboxset<T,D> r = bboxset<T,D>(b) - s;
+ assert (r.invariant());
+ return r;
+}
+
+
+
+// Equality
+template<class T, int D>
+bool bboxset<T,D>::operator<= (const bboxset<T,D>& s) const {
+ return (*this - s).empty();
+}
+
+template<class T, int D>
+bool bboxset<T,D>::operator< (const bboxset<T,D>& s) const {
+ return (*this - s).empty() && ! (s - *this).empty();
+}
+
+template<class T, int D>
+bool bboxset<T,D>::operator>= (const bboxset<T,D>& s) const {
+ return s <= *this;
+}
+
+template<class T, int D>
+bool bboxset<T,D>::operator> (const bboxset<T,D>& s) const {
+ return s < *this;
+}
+
+template<class T, int D>
+bool bboxset<T,D>::operator== (const bboxset<T,D>& s) const {
+ return (*this <= s) && (*this >= s);
+}
+
+template<class T, int D>
+bool bboxset<T,D>::operator!= (const bboxset<T,D>& s) const {
+ return ! (*this == s);
+}
+
+
+
+// Output
+template<class T,int D>
+void bboxset<T,D>::output (ostream& os) const {
+ T Tdummy;
+ os << "bboxset<" << typestring(Tdummy) << "," << D << ">:"
+ << "size=" << size() << ","
+ << "setsize=" << setsize() << ","
+ << "set=" << bs;
+}
+
+
+
+template class bboxset<int,3>;
diff --git a/Carpet/CarpetLib/src/bboxset.hh b/Carpet/CarpetLib/src/bboxset.hh
new file mode 100644
index 000000000..a94c8940a
--- /dev/null
+++ b/Carpet/CarpetLib/src/bboxset.hh
@@ -0,0 +1,156 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/bboxset.hh,v 1.11 2003/09/19 16:06:41 schnetter Exp $
+
+#ifndef BBOXSET_HH
+#define BBOXSET_HH
+
+#include <assert.h>
+
+#include <iostream>
+#include <set>
+
+#include "bbox.hh"
+#include "defs.hh"
+#include "vect.hh"
+
+using namespace std;
+
+
+
+// Forward declaration
+template<class T, int D> class bboxset;
+
+// template<class T,int D>
+// bboxset<T,D> operator+ (const bbox<T,D>& b1, const bbox<T,D>& b2);
+// template<class T,int D>
+// bboxset<T,D> operator+ (const bbox<T,D>& b, const bboxset<T,D>& s);
+
+// template<class T,int D>
+// bboxset<T,D> operator- (const bbox<T,D>& b1, const bbox<T,D>& b2);
+// template<class T,int D>
+// bboxset<T,D> operator- (const bbox<T,D>& b, const bboxset<T,D>& s);
+
+// Output
+template<class T,int D>
+ostream& operator<< (ostream& os, const bboxset<T,D>& s);
+
+
+
+// Bounding box class
+template<class T, int D>
+class bboxset {
+
+ // Types
+ typedef bbox<T,D> box;
+ typedef set<box> bset;
+
+ // Fields
+ bset bs;
+ // Invariant:
+ // All bboxes have the same stride.
+ // No bbox is empty.
+ // The bboxes don't overlap.
+
+public:
+
+ // Constructors
+ bboxset ();
+ bboxset (const box& b);
+ bboxset (const bboxset& s);
+ bboxset (const bset& bs);
+
+ // Invariant
+ bool invariant () const;
+
+ // Normalisation
+ void normalize ();
+
+ // Accessors
+ bool empty () const { return bs.empty(); }
+ T size () const;
+ int setsize () const { return bs.size(); }
+
+ // Add (bboxes that don't overlap)
+ bboxset& operator+= (const box& b);
+ bboxset& operator+= (const bboxset& s);
+ bboxset operator+ (const box& b) const;
+ bboxset operator+ (const bboxset& s) const;
+ static bboxset plus (const box& b1, const box& b2);
+ static bboxset plus (const box& b, const bboxset& s);
+
+ // Union
+ bboxset& operator|= (const box& b);
+ bboxset& operator|= (const bboxset& s);
+ bboxset operator| (const box& b) const;
+ bboxset operator| (const bboxset& s) const;
+
+ // Intersection
+ bboxset operator& (const box& b) const;
+ bboxset operator& (const bboxset& s) const;
+ bboxset& operator&= (const box& b);
+ bboxset& operator&= (const bboxset& s);
+
+ // Difference
+ // friend bboxset operator- <T,D>(const box& b1, const box& b2);
+ static bboxset minus (const box& b1, const box& b2);
+ bboxset operator- (const box& b) const;
+ bboxset& operator-= (const box& b);
+ bboxset& operator-= (const bboxset& s);
+ bboxset operator- (const bboxset& s) const;
+ // friend bboxset operator- <T,D>(const box& b, const bboxset& s);
+ static bboxset minus (const box& b, const bboxset& s);
+
+ // Equality
+ bool operator== (const bboxset& s) const;
+ bool operator!= (const bboxset& s) const;
+ bool operator< (const bboxset& s) const;
+ bool operator<= (const bboxset& s) const;
+ bool operator> (const bboxset& s) const;
+ bool operator>= (const bboxset& s) const;
+
+ // Iterators
+ typedef typename bset::const_iterator const_iterator;
+ typedef typename bset::iterator iterator;
+
+ const_iterator begin () const { return bs.begin(); }
+ const_iterator end () const { return bs.end(); }
+// iterator begin () const { return bs.begin(); }
+// iterator end () const { return bs.end(); }
+
+ // Output
+ void output (ostream& os) const;
+};
+
+
+
+template<class T,int D>
+inline bboxset<T,D> operator+ (const bbox<T,D>& b1, const bbox<T,D>& b2) {
+ return bboxset<T,D>::plus(b1,b2);
+}
+
+template<class T,int D>
+inline bboxset<T,D> operator+ (const bbox<T,D>& b, const bboxset<T,D>& s) {
+ return bboxset<T,D>::plus(b,s);
+}
+
+template<class T,int D>
+inline bboxset<T,D> operator- (const bbox<T,D>& b1, const bbox<T,D>& b2) {
+ return bboxset<T,D>::minus(b1,b2);
+}
+
+template<class T,int D>
+inline bboxset<T,D> operator- (const bbox<T,D>& b, const bboxset<T,D>& s) {
+ return bboxset<T,D>::minus(b,s);
+}
+
+
+
+// Output
+template<class T,int D>
+inline ostream& operator<< (ostream& os, const bboxset<T,D>& s) {
+ s.output(os);
+ return os;
+}
+
+
+
+#endif // BBOXSET_HH
diff --git a/Carpet/CarpetLib/src/checkindex.F77 b/Carpet/CarpetLib/src/checkindex.F77
new file mode 100644
index 000000000..e726a012b
--- /dev/null
+++ b/Carpet/CarpetLib/src/checkindex.F77
@@ -0,0 +1,23 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/checkindex.F77,v 1.1 2003/11/05 16:18:39 schnetter Exp $
+
+#include "cctk.h"
+
+
+
+ subroutine checkindex (i,j,k, di,dj,dk, imax,jmax,kmax, where)
+ implicit none
+ integer i,j,k
+ integer di,dj,dk
+ integer imax,jmax,kmax
+ character*(*) where
+ character*1000 msg
+
+ if ( i.lt.1 .or. i+di-1.gt.imax
+ $ .or. j.lt.1 .or. j+dj-1.gt.jmax
+ $ .or. k.lt.1 .or. k+dk-1.gt.kmax) then
+ write (msg, '(a, " array index out of bounds: shape is (",i4,",",i4,",",i4,"), index is (",i4,",",i4,",",i4,"), extent is (",i4,",",i4,",",i4,")")')
+ $ where, imax,jmax,kmax, i,j,k, di,dj,dk
+ call CCTK_WARN (0, msg(1:len_trim(msg)))
+ end if
+ end
diff --git a/Carpet/CarpetLib/src/copy_3d_complex16.F77 b/Carpet/CarpetLib/src/copy_3d_complex16.F77
new file mode 100644
index 000000000..2432e900c
--- /dev/null
+++ b/Carpet/CarpetLib/src/copy_3d_complex16.F77
@@ -0,0 +1,114 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/copy_3d_complex16.F77,v 1.2 2004/03/11 12:01:34 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+
+
+ subroutine copy_3d_complex16 (
+ $ src, srciext, srcjext, srckext,
+ $ dst, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ DECLARE_CCTK_PARAMETERS
+
+ integer srciext, srcjext, srckext
+ CCTK_COMPLEX16 src(srciext,srcjext,srckext)
+ integer dstiext, dstjext, dstkext
+ CCTK_COMPLEX16 dst(dstiext,dstjext,dstkext)
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer regiext, regjext, regkext
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ integer i, j, k
+ integer d
+
+ character msg*1000
+
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).ne.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).lt.srcbbox(d,1)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.srcbbox(d,2)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / srcbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / srcbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / srcbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Loop over region
+ do k = 1, regkext
+ do j = 1, regjext
+ do i = 1, regiext
+
+ if (check_array_accesses.ne.0) then
+ call checkindex (srcioff+i, srcjoff+j+1, srckoff+k+1, 1,1,1,
+ $ "source")
+ call checkindex (dstioff+i, dstjoff+j+1, dstkoff+k+1, 1,1,1,
+ $ "destination")
+ end if
+
+ dst (dstioff+i, dstjoff+j, dstkoff+k)
+ $ = src (srcioff+i, srcjoff+j, srckoff+k)
+
+ end do
+ end do
+ end do
+
+ end
diff --git a/Carpet/CarpetLib/src/copy_3d_int4.F77 b/Carpet/CarpetLib/src/copy_3d_int4.F77
new file mode 100644
index 000000000..b440a32b2
--- /dev/null
+++ b/Carpet/CarpetLib/src/copy_3d_int4.F77
@@ -0,0 +1,114 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/copy_3d_int4.F77,v 1.2 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+
+
+ subroutine copy_3d_int4 (
+ $ src, srciext, srcjext, srckext,
+ $ dst, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ DECLARE_CCTK_PARAMETERS
+
+ integer srciext, srcjext, srckext
+ CCTK_INT4 src(srciext,srcjext,srckext)
+ integer dstiext, dstjext, dstkext
+ CCTK_INT4 dst(dstiext,dstjext,dstkext)
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer regiext, regjext, regkext
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ integer i, j, k
+ integer d
+
+ character msg*1000
+
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).ne.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).lt.srcbbox(d,1)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.srcbbox(d,2)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / srcbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / srcbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / srcbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Loop over region
+ do k = 1, regkext
+ do j = 1, regjext
+ do i = 1, regiext
+
+ if (check_array_accesses.ne.0) then
+ call checkindex (srcioff+i, srcjoff+j+1, srckoff+k+1, 1,1,1,
+ $ "source")
+ call checkindex (dstioff+i, dstjoff+j+1, dstkoff+k+1, 1,1,1,
+ $ "destination")
+ end if
+
+ dst (dstioff+i, dstjoff+j, dstkoff+k)
+ $ = src (srcioff+i, srcjoff+j, srckoff+k)
+
+ end do
+ end do
+ end do
+
+ end
diff --git a/Carpet/CarpetLib/src/copy_3d_real8.F77 b/Carpet/CarpetLib/src/copy_3d_real8.F77
new file mode 100644
index 000000000..716ffd135
--- /dev/null
+++ b/Carpet/CarpetLib/src/copy_3d_real8.F77
@@ -0,0 +1,114 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/copy_3d_real8.F77,v 1.8 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+
+
+ subroutine copy_3d_real8 (
+ $ src, srciext, srcjext, srckext,
+ $ dst, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ DECLARE_CCTK_PARAMETERS
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src(srciext,srcjext,srckext)
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer regiext, regjext, regkext
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ integer i, j, k
+ integer d
+
+ character msg*1000
+
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).ne.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).lt.srcbbox(d,1)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.srcbbox(d,2)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / srcbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / srcbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / srcbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Loop over region
+ do k = 1, regkext
+ do j = 1, regjext
+ do i = 1, regiext
+
+ if (check_array_accesses.ne.0) then
+ call checkindex (srcioff+i, srcjoff+j+1, srckoff+k+1, 1,1,1,
+ $ "source")
+ call checkindex (dstioff+i, dstjoff+j+1, dstkoff+k+1, 1,1,1,
+ $ "destination")
+ end if
+
+ dst (dstioff+i, dstjoff+j, dstkoff+k)
+ $ = src (srcioff+i, srcjoff+j, srckoff+k)
+
+ end do
+ end do
+ end do
+
+ end
diff --git a/Carpet/CarpetLib/src/data.cc b/Carpet/CarpetLib/src/data.cc
new file mode 100644
index 000000000..5c9d219e7
--- /dev/null
+++ b/Carpet/CarpetLib/src/data.cc
@@ -0,0 +1,1388 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/data.cc,v 1.55 2004/05/21 18:13:41 schnetter Exp $
+
+#include <assert.h>
+#include <limits.h>
+#include <stdlib.h>
+#include <math.h>
+
+#include <algorithm>
+#include <iostream>
+#include <limits>
+#include <sstream>
+#include <string>
+#include <vector>
+
+#include <mpi.h>
+
+#include "cctk.h"
+
+#include "bbox.hh"
+#include "defs.hh"
+#include "dist.hh"
+#include "vect.hh"
+
+#include "data.hh"
+
+using namespace std;
+
+
+
+static size_t total_allocated_bytes; // total number of allocated bytes
+
+
+
+// Constructors
+template<class T, int D>
+data<T,D>::data (const int varindex_, const operator_type transport_operator_,
+ const int vectorlength, const int vectorindex,
+ data* const vectorleader)
+ : gdata<D>(varindex_, transport_operator_),
+ _storage(NULL), _allocated_bytes(0),
+ vectorlength(vectorlength), vectorindex(vectorindex),
+ vectorleader(vectorleader)
+{
+ assert (vectorlength>=1);
+ assert (vectorindex>=0 && vectorindex<vectorlength);
+ assert ((vectorindex==0 && !vectorleader)
+ || (vectorindex!=0 && vectorleader));
+ if (vectorindex==0) vectorclients.resize (vectorlength);
+ if (vectorleader) vectorleader->register_client (vectorindex);
+}
+
+template<class T, int D>
+data<T,D>::data (const int varindex_, const operator_type transport_operator_,
+ const int vectorlength, const int vectorindex,
+ data* const vectorleader,
+ const ibbox& extent_, const int proc_)
+ : gdata<D>(varindex_, transport_operator_),
+ _storage(NULL), _allocated_bytes(0),
+ vectorlength(vectorlength), vectorindex(vectorindex),
+ vectorleader(vectorleader)
+{
+ assert (vectorlength>=1);
+ assert (vectorindex>=0 && vectorindex<vectorlength);
+ assert ((vectorindex==0 && !vectorleader)
+ || (vectorindex!=0 && vectorleader));
+ if (vectorindex==0) vectorclients.resize (vectorlength);
+ if (vectorleader) vectorleader->register_client (vectorindex);
+ allocate(extent_, proc_);
+}
+
+// Destructors
+template<class T, int D>
+data<T,D>::~data ()
+{
+ if (vectorleader) vectorleader->unregister_client (vectorindex);
+ if (vectorindex==0) assert (! has_clients());
+ free();
+}
+
+// Pseudo constructors
+template<class T, int D>
+data<T,D>* data<T,D>::make_typed (const int varindex_,
+ const operator_type transport_operator_)
+ const
+{
+ return new data(varindex_, transport_operator_);
+}
+
+
+
+// Vector mamagement
+template<class T, int D>
+void data<T,D>::register_client (const int index)
+{
+ assert (! vectorclients.at(index));
+ vectorclients.at(index) = true;
+}
+
+template<class T, int D>
+void data<T,D>::unregister_client (const int index)
+{
+ assert (vectorclients.at(index));
+ vectorclients.at(index) = false;
+}
+
+template<class T, int D>
+bool data<T,D>::has_clients ()
+{
+ bool retval = false;
+ for (size_t n=0; n<vectorlength; ++n) {
+ retval |= vectorclients.at(n);
+ }
+ return retval;
+}
+
+
+
+// Storage management
+template<class T, int D>
+void data<T,D>::getmem (const size_t nelems)
+{
+ const size_t nbytes = nelems * sizeof(T);
+ try {
+ assert (this->_allocated_bytes == 0);
+ this->_storage = new T[nelems];
+ this->_allocated_bytes = nbytes;
+ } catch (...) {
+ T Tdummy;
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Failed to allocate %.0f bytes (%.3f MB) of memory for type %s. %.0f bytes (%.3f MB) are currently allocated.",
+ (double)nbytes, nbytes/1.0e6,
+ typestring(Tdummy),
+ (double)total_allocated_bytes, total_allocated_bytes/1.0e6);
+ }
+ total_allocated_bytes += nbytes;
+}
+
+
+
+template<class T, int D>
+void data<T,D>::freemem ()
+{
+ delete [] _storage;
+ total_allocated_bytes -= this->_allocated_bytes;
+ this->_allocated_bytes = 0;
+}
+
+
+
+template<class T, int D>
+void data<T,D>::allocate (const ibbox& extent_,
+ const int proc_,
+ void* const mem)
+{
+ assert (!this->_has_storage);
+ this->_has_storage = true;
+ // prevent accidental wrap-around
+ assert (all(extent_.lower() < numeric_limits<int>::max() / 2));
+ assert (all(extent_.lower() > numeric_limits<int>::min() / 2));
+ assert (all(extent_.upper() < numeric_limits<int>::max() / 2));
+ assert (all(extent_.upper() > numeric_limits<int>::min() / 2));
+ // data
+ this->_extent = extent_;
+ this->_shape = max(ivect(0), this->_extent.shape() / this->_extent.stride());
+ this->_size = 1;
+ for (int d=0; d<D; ++d) {
+ this->_stride[d] = this->_size;
+ assert (this->_shape[d]==0 || this->_size <= INT_MAX / this->_shape[d]);
+ this->_size *= this->_shape[d];
+ }
+ this->_proc = proc_;
+ int rank;
+ MPI_Comm_rank (dist::comm, &rank);
+ if (rank==this->_proc) {
+ this->_owns_storage = !mem;
+ if (this->_owns_storage) {
+ if (this->vectorindex == 0) {
+ assert (! this->vectorleader);
+ getmem (this->vectorlength * this->_size);
+ } else {
+ assert (this->vectorleader);
+ this->_storage = this->vectorleader->vectordata (this->vectorindex);
+ }
+ } else {
+ this->_storage = (T*)mem;
+ }
+ } else {
+ assert (!mem);
+ }
+}
+
+template<class T, int D>
+void data<T,D>::free ()
+{
+ if (this->_storage && this->_owns_storage && this->vectorindex==0) {
+ freemem ();
+ }
+ _storage = 0;
+ this->_has_storage = false;
+}
+
+template<class T, int D>
+void data<T,D>::transfer_from (gdata<D>* gsrc)
+{
+ assert (this->vectorlength==1);
+ data* src = (data*)gsrc;
+ assert (src->vectorlength==1);
+ assert (!_storage);
+ *this = *src;
+ *src = data(this->varindex, this->transport_operator);
+}
+
+template<class T, int D>
+T* data<T,D>::vectordata (const int vectorindex) const
+{
+ assert (this->vectorindex==0);
+ assert (! this->vectorleader);
+ assert (vectorindex>=0 && vectorindex<this->vectorlength);
+ assert (this->_storage && this->_owns_storage);
+ return this->_storage + vectorindex * this->_size;
+}
+
+
+
+// Processor management
+template<class T, int D>
+void data<T,D>::change_processor (comm_state<D>& state,
+ const int newproc,
+ void* const mem)
+{
+ switch (state.thestate) {
+ case state_recv:
+ change_processor_recv (newproc, mem);
+ break;
+ case state_send:
+ change_processor_send (newproc, mem);
+ break;
+ case state_wait:
+ change_processor_wait (newproc, mem);
+ break;
+ default:
+ assert(0);
+ }
+}
+
+
+
+template<class T, int D>
+void data<T,D>::change_processor_recv (const int newproc, void* const mem)
+{
+ assert (!this->comm_active);
+ this->comm_active = true;
+
+ if (newproc == this->_proc) {
+ assert (!mem);
+ return;
+ }
+
+ if (this->_has_storage) {
+ int rank;
+ MPI_Comm_rank (dist::comm, &rank);
+ if (rank == newproc) {
+ // copy from other processor
+
+ assert (!_storage);
+ this->_owns_storage = !mem;
+ if (this->_owns_storage) {
+ getmem (this->_size);
+ } else {
+ _storage = (T*)mem;
+ }
+
+ const double wtime1 = MPI_Wtime();
+ T dummy;
+ MPI_Irecv (_storage, this->_size, dist::datatype(dummy), this->_proc,
+ this->tag, dist::comm, &this->request);
+ const double wtime2 = MPI_Wtime();
+ this->wtime_irecv += wtime2 - wtime1;
+
+ } else if (rank == this->_proc) {
+ // copy to other processor
+
+ } else {
+ assert (!mem);
+ assert (!_storage);
+ }
+ }
+}
+
+
+
+template<class T, int D>
+void data<T,D>::change_processor_send (const int newproc, void* const mem)
+{
+ assert (this->comm_active);
+
+ if (newproc == this->_proc) {
+ assert (!mem);
+ return;
+ }
+
+ if (this->_has_storage) {
+ int rank;
+ MPI_Comm_rank (dist::comm, &rank);
+ if (rank == newproc) {
+ // copy from other processor
+
+ } else if (rank == this->_proc) {
+ // copy to other processor
+
+ assert (!mem);
+ assert (_storage);
+
+ const double wtime1 = MPI_Wtime();
+ T dummy;
+ MPI_Isend (_storage, this->_size, dist::datatype(dummy), newproc,
+ this->tag, dist::comm, &this->request);
+ const double wtime2 = MPI_Wtime();
+ this->wtime_isend += wtime2 - wtime1;
+
+ } else {
+ assert (!mem);
+ assert (!_storage);
+ }
+ }
+}
+
+
+
+template<class T, int D>
+void data<T,D>::change_processor_wait (const int newproc, void* const mem)
+{
+ assert (this->comm_active);
+ this->comm_active = false;
+
+ if (newproc == this->_proc) {
+ assert (!mem);
+ return;
+ }
+
+ if (this->_has_storage) {
+ int rank;
+ MPI_Comm_rank (dist::comm, &rank);
+ if (rank == newproc) {
+ // copy from other processor
+
+ const double wtime1 = MPI_Wtime();
+ MPI_Status status;
+ MPI_Wait (&this->request, &status);
+ const double wtime2 = MPI_Wtime();
+ this->wtime_irecvwait += wtime2 - wtime1;
+
+ } else if (rank == this->_proc) {
+ // copy to other processor
+
+ assert (!mem);
+ assert (_storage);
+
+ const double wtime1 = MPI_Wtime();
+ MPI_Status status;
+ MPI_Wait (&this->request, &status);
+ const double wtime2 = MPI_Wtime();
+ this->wtime_isendwait += wtime2 - wtime1;
+
+ if (this->_owns_storage) {
+ freemem ();
+ }
+ _storage = 0;
+
+ } else {
+ assert (!mem);
+ assert (!_storage);
+ }
+ }
+
+ this->_proc = newproc;
+}
+
+
+
+// Data manipulators
+template<class T, int D>
+void data<T,D>
+::copy_from_innerloop (const gdata<D>* gsrc, const ibbox& box)
+{
+ const data* src = (const data*)gsrc;
+ assert (this->has_storage() && src->has_storage());
+ assert (all(box.lower()>=this->extent().lower()
+ && box.lower()>=src->extent().lower()));
+ assert (all(box.upper()<=this->extent().upper()
+ && box.upper()<=src->extent().upper()));
+ assert (all(box.stride()==this->extent().stride()
+ && box.stride()==src->extent().stride()));
+ assert (all((box.lower()-this->extent().lower())%box.stride() == 0
+ && (box.lower()-src->extent().lower())%box.stride() == 0));
+
+ assert (this->proc() == src->proc());
+
+ const int groupindex = CCTK_GroupIndexFromVarI(this->varindex);
+ const int group_tags_table = CCTK_GroupTagsTableI(groupindex);
+ assert (group_tags_table >= 0);
+
+ // Disallow this.
+ T Tdummy;
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "There is no copy operator available for the variable type %s, dimension %d.",
+ typestring(Tdummy), D);
+
+ int rank;
+ MPI_Comm_rank (dist::comm, &rank);
+ assert (rank == this->proc());
+
+ for (typename ibbox::iterator it=box.begin(); it!=box.end(); ++it) {
+ const ivect index = *it;
+ (*this)[index] = (*src)[index];
+ }
+
+}
+
+
+
+template<class T, int D>
+void data<T,D>
+::interpolate_from_innerloop (const vector<const gdata<D>*> gsrcs,
+ const vector<CCTK_REAL> times,
+ const ibbox& box, const CCTK_REAL time,
+ const int order_space,
+ const int order_time)
+{
+ assert (this->has_storage());
+ assert (all(box.lower()>=this->extent().lower()));
+ assert (all(box.upper()<=this->extent().upper()));
+ assert (all(box.stride()==this->extent().stride()));
+ assert (all((box.lower()-this->extent().lower())%box.stride() == 0));
+ vector<const data*> srcs(gsrcs.size());
+ for (int t=0; t<(int)srcs.size(); ++t) srcs[t] = (const data*)gsrcs[t];
+ assert (srcs.size() == times.size() && srcs.size()>0);
+ for (int t=0; t<(int)srcs.size(); ++t) {
+ assert (srcs[t]->has_storage());
+ assert (all(box.lower()>=srcs[t]->extent().lower()));
+ assert (all(box.upper()<=srcs[t]->extent().upper()));
+ assert (this->proc() == srcs[t]->proc());
+ }
+ assert (order_space >= 0);
+ assert (order_time >= 0);
+
+ int rank;
+ MPI_Comm_rank (dist::comm, &rank);
+ assert (rank == this->proc());
+
+ assert (this->varindex >= 0);
+ const int groupindex = CCTK_GroupIndexFromVarI (this->varindex);
+ assert (groupindex >= 0);
+ char* groupname = CCTK_GroupName(groupindex);
+ T Tdummy;
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "There is no interpolator available for the group \"%s\" with variable type %s, dimension %d, spatial interpolation order %d, temporal interpolation order %d.",
+ groupname, typestring(Tdummy), D, order_space, order_time);
+ ::free (groupname);
+}
+
+
+
+extern "C" {
+ void CCTK_FCALL CCTK_FNAME(copy_3d_int4)
+ (const CCTK_INT4* src,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_INT4* dst,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(copy_3d_real8)
+ (const CCTK_REAL8* src,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(copy_3d_complex16)
+ (const CCTK_COMPLEX16* src,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_COMPLEX16* dst,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+}
+
+template<>
+void data<CCTK_INT4,3>
+::copy_from_innerloop (const gdata<3>* gsrc, const ibbox& box)
+{
+ const data* src = (const data*)gsrc;
+ assert (has_storage() && src->has_storage());
+ assert (all(box.lower()>=extent().lower()
+ && box.lower()>=src->extent().lower()));
+ assert (all(box.upper()<=extent().upper()
+ && box.upper()<=src->extent().upper()));
+ assert (all(box.stride()==extent().stride()
+ && box.stride()==src->extent().stride()));
+ assert (all((box.lower()-extent().lower())%box.stride() == 0
+ && (box.lower()-src->extent().lower())%box.stride() == 0));
+
+ assert (proc() == src->proc());
+
+ int rank;
+ MPI_Comm_rank (dist::comm, &rank);
+ assert (rank == proc());
+
+ const ibbox& sext = src->extent();
+ const ibbox& dext = extent();
+
+ int srcshp[3], dstshp[3];
+ int srcbbox[3][3], dstbbox[3][3], regbbox[3][3];
+
+ for (int d=0; d<3; ++d) {
+ srcshp[d] = (sext.shape() / sext.stride())[d];
+ dstshp[d] = (dext.shape() / dext.stride())[d];
+
+ srcbbox[0][d] = sext.lower()[d];
+ srcbbox[1][d] = sext.upper()[d];
+ srcbbox[2][d] = sext.stride()[d];
+
+ dstbbox[0][d] = dext.lower()[d];
+ dstbbox[1][d] = dext.upper()[d];
+ dstbbox[2][d] = dext.stride()[d];
+
+ regbbox[0][d] = box.lower()[d];
+ regbbox[1][d] = box.upper()[d];
+ regbbox[2][d] = box.stride()[d];
+ }
+
+ assert (all(dext.stride() == box.stride()));
+ if (all(sext.stride() == dext.stride())) {
+ CCTK_FNAME(copy_3d_int4) ((const CCTK_INT4*)src->storage(),
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_INT4*)storage(),
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox,
+ dstbbox,
+ regbbox);
+
+ } else {
+ assert (0);
+ }
+}
+
+template<>
+void data<CCTK_REAL8,3>
+::copy_from_innerloop (const gdata<3>* gsrc, const ibbox& box)
+{
+ const data* src = (const data*)gsrc;
+ assert (has_storage() && src->has_storage());
+ assert (all(box.lower()>=extent().lower()
+ && box.lower()>=src->extent().lower()));
+ assert (all(box.upper()<=extent().upper()
+ && box.upper()<=src->extent().upper()));
+ assert (all(box.stride()==extent().stride()
+ && box.stride()==src->extent().stride()));
+ assert (all((box.lower()-extent().lower())%box.stride() == 0
+ && (box.lower()-src->extent().lower())%box.stride() == 0));
+
+ assert (proc() == src->proc());
+
+ int rank;
+ MPI_Comm_rank (dist::comm, &rank);
+ assert (rank == proc());
+
+ const ibbox& sext = src->extent();
+ const ibbox& dext = extent();
+
+ int srcshp[3], dstshp[3];
+ int srcbbox[3][3], dstbbox[3][3], regbbox[3][3];
+
+ for (int d=0; d<3; ++d) {
+ srcshp[d] = (sext.shape() / sext.stride())[d];
+ dstshp[d] = (dext.shape() / dext.stride())[d];
+
+ srcbbox[0][d] = sext.lower()[d];
+ srcbbox[1][d] = sext.upper()[d];
+ srcbbox[2][d] = sext.stride()[d];
+
+ dstbbox[0][d] = dext.lower()[d];
+ dstbbox[1][d] = dext.upper()[d];
+ dstbbox[2][d] = dext.stride()[d];
+
+ regbbox[0][d] = box.lower()[d];
+ regbbox[1][d] = box.upper()[d];
+ regbbox[2][d] = box.stride()[d];
+ }
+
+ assert (all(dext.stride() == box.stride()));
+ if (all(sext.stride() == dext.stride())) {
+ CCTK_FNAME(copy_3d_real8) ((const CCTK_REAL8*)src->storage(),
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(),
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox,
+ dstbbox,
+ regbbox);
+
+ } else {
+ assert (0);
+ }
+}
+
+template<>
+void data<CCTK_COMPLEX16,3>
+::copy_from_innerloop (const gdata<3>* gsrc, const ibbox& box)
+{
+ const data* src = (const data*)gsrc;
+ assert (has_storage() && src->has_storage());
+ assert (all(box.lower()>=extent().lower()
+ && box.lower()>=src->extent().lower()));
+ assert (all(box.upper()<=extent().upper()
+ && box.upper()<=src->extent().upper()));
+ assert (all(box.stride()==extent().stride()
+ && box.stride()==src->extent().stride()));
+ assert (all((box.lower()-extent().lower())%box.stride() == 0
+ && (box.lower()-src->extent().lower())%box.stride() == 0));
+
+ assert (proc() == src->proc());
+
+ int rank;
+ MPI_Comm_rank (dist::comm, &rank);
+ assert (rank == proc());
+
+ const ibbox& sext = src->extent();
+ const ibbox& dext = extent();
+
+ int srcshp[3], dstshp[3];
+ int srcbbox[3][3], dstbbox[3][3], regbbox[3][3];
+
+ for (int d=0; d<3; ++d) {
+ srcshp[d] = (sext.shape() / sext.stride())[d];
+ dstshp[d] = (dext.shape() / dext.stride())[d];
+
+ srcbbox[0][d] = sext.lower()[d];
+ srcbbox[1][d] = sext.upper()[d];
+ srcbbox[2][d] = sext.stride()[d];
+
+ dstbbox[0][d] = dext.lower()[d];
+ dstbbox[1][d] = dext.upper()[d];
+ dstbbox[2][d] = dext.stride()[d];
+
+ regbbox[0][d] = box.lower()[d];
+ regbbox[1][d] = box.upper()[d];
+ regbbox[2][d] = box.stride()[d];
+ }
+
+ assert (all(dext.stride() == box.stride()));
+ if (all(sext.stride() == dext.stride())) {
+ CCTK_FNAME(copy_3d_complex16) ((const CCTK_COMPLEX16*)src->storage(),
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_COMPLEX16*)storage(),
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox,
+ dstbbox,
+ regbbox);
+
+ } else {
+ assert (0);
+ }
+}
+
+
+
+extern "C" {
+
+ void CCTK_FCALL CCTK_FNAME(restrict_3d_real8)
+ (const CCTK_REAL8* src,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(restrict_3d_real8_rf2)
+ (const CCTK_REAL8* src,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+
+
+
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8)
+ (const CCTK_REAL8* src,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8_rf2)
+ (const CCTK_REAL8* src,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8_o3)
+ (const CCTK_REAL8* src,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8_o3_rf2)
+ (const CCTK_REAL8* src,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8_minmod)
+ (const CCTK_REAL8* src,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8_eno)
+ (const CCTK_REAL8* src,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8_o5)
+ (const CCTK_REAL8* src,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8_2tl)
+ (const CCTK_REAL8* src1, const CCTK_REAL8& t1,
+ const CCTK_REAL8* src2, const CCTK_REAL8& t2,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst, const CCTK_REAL8& t,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8_2tl_rf2)
+ (const CCTK_REAL8* src1, const CCTK_REAL8& t1,
+ const CCTK_REAL8* src2, const CCTK_REAL8& t2,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst, const CCTK_REAL8& t,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8_2tl_o3)
+ (const CCTK_REAL8* src1, const CCTK_REAL8& t1,
+ const CCTK_REAL8* src2, const CCTK_REAL8& t2,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst, const CCTK_REAL8& t,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8_2tl_o3_rf2)
+ (const CCTK_REAL8* src1, const CCTK_REAL8& t1,
+ const CCTK_REAL8* src2, const CCTK_REAL8& t2,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst, const CCTK_REAL8& t,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8_2tl_minmod)
+ (const CCTK_REAL8* src1, const CCTK_REAL8& t1,
+ const CCTK_REAL8* src2, const CCTK_REAL8& t2,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst, const CCTK_REAL8& t,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8_2tl_eno)
+ (const CCTK_REAL8* src1, const CCTK_REAL8& t1,
+ const CCTK_REAL8* src2, const CCTK_REAL8& t2,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst, const CCTK_REAL8& t,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8_2tl_o5)
+ (const CCTK_REAL8* src1, const CCTK_REAL8& t1,
+ const CCTK_REAL8* src2, const CCTK_REAL8& t2,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst, const CCTK_REAL8& t,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8_3tl)
+ (const CCTK_REAL8* src1, const CCTK_REAL8& t1,
+ const CCTK_REAL8* src2, const CCTK_REAL8& t2,
+ const CCTK_REAL8* src3, const CCTK_REAL8& t3,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst, const CCTK_REAL8& t,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8_3tl_rf2)
+ (const CCTK_REAL8* src1, const CCTK_REAL8& t1,
+ const CCTK_REAL8* src2, const CCTK_REAL8& t2,
+ const CCTK_REAL8* src3, const CCTK_REAL8& t3,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst, const CCTK_REAL8& t,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8_3tl_o3)
+ (const CCTK_REAL8* src1, const CCTK_REAL8& t1,
+ const CCTK_REAL8* src2, const CCTK_REAL8& t2,
+ const CCTK_REAL8* src3, const CCTK_REAL8& t3,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst, const CCTK_REAL8& t,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8_3tl_o3_rf2)
+ (const CCTK_REAL8* src1, const CCTK_REAL8& t1,
+ const CCTK_REAL8* src2, const CCTK_REAL8& t2,
+ const CCTK_REAL8* src3, const CCTK_REAL8& t3,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst, const CCTK_REAL8& t,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8_3tl_minmod)
+ (const CCTK_REAL8* src1, const CCTK_REAL8& t1,
+ const CCTK_REAL8* src2, const CCTK_REAL8& t2,
+ const CCTK_REAL8* src3, const CCTK_REAL8& t3,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst, const CCTK_REAL8& t,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8_3tl_eno)
+ (const CCTK_REAL8* src1, const CCTK_REAL8& t1,
+ const CCTK_REAL8* src2, const CCTK_REAL8& t2,
+ const CCTK_REAL8* src3, const CCTK_REAL8& t3,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst, const CCTK_REAL8& t,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+ void CCTK_FCALL CCTK_FNAME(prolongate_3d_real8_3tl_o5)
+ (const CCTK_REAL8* src1, const CCTK_REAL8& t1,
+ const CCTK_REAL8* src2, const CCTK_REAL8& t2,
+ const CCTK_REAL8* src3, const CCTK_REAL8& t3,
+ const int& srciext, const int& srcjext, const int& srckext,
+ CCTK_REAL8* dst, const CCTK_REAL8& t,
+ const int& dstiext, const int& dstjext, const int& dstkext,
+ const int srcbbox[3][3],
+ const int dstbbox[3][3],
+ const int regbbox[3][3]);
+}
+
+template<>
+void data<CCTK_REAL8,3>
+::interpolate_from_innerloop (const vector<const gdata<3>*> gsrcs,
+ const vector<CCTK_REAL> times,
+ const ibbox& box, const CCTK_REAL time,
+ const int order_space,
+ const int order_time)
+{
+ const CCTK_REAL eps = 1.0e-10;
+
+ assert (has_storage());
+ assert (all(box.lower()>=extent().lower()));
+ assert (all(box.upper()<=extent().upper()));
+ assert (all(box.stride()==extent().stride()));
+ assert (all((box.lower()-extent().lower())%box.stride() == 0));
+ vector<const data*> srcs(gsrcs.size());
+ for (int t=0; t<(int)srcs.size(); ++t) srcs[t] = (const data*)gsrcs[t];
+ assert (srcs.size() == times.size() && srcs.size()>0);
+ for (int t=0; t<(int)srcs.size(); ++t) {
+ assert (srcs[t]->has_storage());
+ assert (all(box.lower()>=srcs[t]->extent().lower()));
+ assert (all(box.upper()<=srcs[t]->extent().upper()));
+ }
+
+ assert (proc() == srcs[0]->proc());
+
+ int rank;
+ MPI_Comm_rank (dist::comm, &rank);
+ assert (rank == proc());
+
+ const ibbox& sext = srcs[0]->extent();
+ const ibbox& dext = extent();
+
+ int srcshp[3], dstshp[3];
+ int srcbbox[3][3], dstbbox[3][3], regbbox[3][3];
+
+ for (int d=0; d<3; ++d) {
+ srcshp[d] = (sext.shape() / sext.stride())[d];
+ dstshp[d] = (dext.shape() / dext.stride())[d];
+
+ srcbbox[0][d] = sext.lower()[d];
+ srcbbox[1][d] = sext.upper()[d];
+ srcbbox[2][d] = sext.stride()[d];
+
+ dstbbox[0][d] = dext.lower()[d];
+ dstbbox[1][d] = dext.upper()[d];
+ dstbbox[2][d] = dext.stride()[d];
+
+ regbbox[0][d] = box.lower()[d];
+ regbbox[1][d] = box.upper()[d];
+ regbbox[2][d] = box.stride()[d];
+ }
+
+ // Check that the times are consistent
+ assert (times.size() > 0);
+ CCTK_REAL min_time = times[0];
+ CCTK_REAL max_time = times[0];
+ for (size_t tl=1; tl<times.size(); ++tl) {
+ // Catch broken compilers that only know min(int) and max(int)
+ assert (min(1.3, 1.4) > 1.2);
+ min_time = min(min_time, times[tl]);
+ max_time = max(max_time, times[tl]);
+ }
+ if (time < min_time - eps || time > max_time + eps) {
+ ostringstream buf;
+ buf << "Internal error: extrapolation in time."
+ << " time=" << time
+ << " times=" << times;
+ CCTK_WARN (0, buf.str().c_str());
+ }
+
+ // Is it necessary to interpolate in time?
+ if (times.size() > 1) {
+ for (size_t tl=0; tl<times.size(); ++tl) {
+ // Catch broken compilers that only know abs(int)
+ assert (abs(1.5) > 1.4);
+ if (abs(times[tl] - time) < eps) {
+ // It is not.
+ vector<const gdata<3>*> my_gsrcs(1);
+ vector<CCTK_REAL> my_times(1);
+ my_gsrcs[0] = gsrcs[tl];
+ my_times[0] = times[tl];
+ const int my_order_time = 0;
+ this->interpolate_from_innerloop
+ (my_gsrcs, my_times, box, time, order_space, my_order_time);
+ return;
+ }
+ }
+ }
+
+ assert (all(dext.stride() == box.stride()));
+ if (all(sext.stride() < dext.stride())) {
+ // Restrict
+
+ assert (times.size() == 1);
+ assert (abs(times[0] - time) < eps);
+
+ switch (transport_operator) {
+
+ case op_Lagrange:
+ case op_TVD:
+ case op_ENO:
+ assert (srcs.size() == 1);
+ if (all (dext.stride() == sext.stride() * 2)) {
+ CCTK_FNAME(restrict_3d_real8_rf2)
+ ((const CCTK_REAL8*)srcs[0]->storage(),
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(),
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+ } else {
+ CCTK_FNAME(restrict_3d_real8)
+ ((const CCTK_REAL8*)srcs[0]->storage(),
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(),
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+ }
+ break;
+
+ default:
+ assert (0);
+
+ } // switch (transport_operator)
+
+ } else if (all(sext.stride() > dext.stride())) {
+ // Prolongate
+
+ switch (transport_operator) {
+
+ case op_Lagrange:
+ switch (order_time) {
+
+ case 0:
+ assert (times.size() == 1);
+ assert (abs(times[0] - time) < eps);
+ assert (srcs.size()>=1);
+ switch (order_space) {
+ case 0:
+ case 1:
+ if (all (sext.stride() == dext.stride() * 2)) {
+ CCTK_FNAME(prolongate_3d_real8_rf2)
+ ((const CCTK_REAL8*)srcs[0]->storage(),
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(),
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+ } else {
+ CCTK_FNAME(prolongate_3d_real8)
+ ((const CCTK_REAL8*)srcs[0]->storage(),
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(),
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+ }
+ break;
+ case 2:
+ case 3:
+ if (all (sext.stride() == dext.stride() * 2)) {
+ CCTK_FNAME(prolongate_3d_real8_o3_rf2)
+ ((const CCTK_REAL8*)srcs[0]->storage(),
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(),
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+ } else {
+ CCTK_FNAME(prolongate_3d_real8_o3)
+ ((const CCTK_REAL8*)srcs[0]->storage(),
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(),
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+ }
+ break;
+ case 4:
+ case 5:
+ CCTK_FNAME(prolongate_3d_real8_o5)
+ ((const CCTK_REAL8*)srcs[0]->storage(),
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(),
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+ break;
+ default:
+ assert (0);
+ }
+ break;
+
+ case 1:
+ assert (srcs.size()>=2);
+ switch (order_space) {
+ case 0:
+ case 1:
+ if (all (sext.stride() == dext.stride() * 2)) {
+ CCTK_FNAME(prolongate_3d_real8_2tl_rf2)
+ ((const CCTK_REAL8*)srcs[0]->storage(), times[0],
+ (const CCTK_REAL8*)srcs[1]->storage(), times[1],
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(), time,
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+ } else {
+ CCTK_FNAME(prolongate_3d_real8_2tl)
+ ((const CCTK_REAL8*)srcs[0]->storage(), times[0],
+ (const CCTK_REAL8*)srcs[1]->storage(), times[1],
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(), time,
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+ }
+ break;
+ case 2:
+ case 3:
+ if (all (sext.stride() == dext.stride() * 2)) {
+ CCTK_FNAME(prolongate_3d_real8_2tl_o3_rf2)
+ ((const CCTK_REAL8*)srcs[0]->storage(), times[0],
+ (const CCTK_REAL8*)srcs[1]->storage(), times[1],
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(), time,
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+ } else {
+ CCTK_FNAME(prolongate_3d_real8_2tl_o3)
+ ((const CCTK_REAL8*)srcs[0]->storage(), times[0],
+ (const CCTK_REAL8*)srcs[1]->storage(), times[1],
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(), time,
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+ }
+ break;
+ case 4:
+ case 5:
+ CCTK_FNAME(prolongate_3d_real8_2tl_o5)
+ ((const CCTK_REAL8*)srcs[0]->storage(), times[0],
+ (const CCTK_REAL8*)srcs[1]->storage(), times[1],
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(), time,
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+ break;
+ default:
+ assert (0);
+ }
+ break;
+
+ case 2:
+ assert (srcs.size()>=3);
+ switch (order_space) {
+ case 0:
+ case 1:
+ if (all (sext.stride() == dext.stride() * 2)) {
+ CCTK_FNAME(prolongate_3d_real8_3tl_rf2)
+ ((const CCTK_REAL8*)srcs[0]->storage(), times[0],
+ (const CCTK_REAL8*)srcs[1]->storage(), times[1],
+ (const CCTK_REAL8*)srcs[2]->storage(), times[2],
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(), time,
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+ } else {
+ CCTK_FNAME(prolongate_3d_real8_3tl)
+ ((const CCTK_REAL8*)srcs[0]->storage(), times[0],
+ (const CCTK_REAL8*)srcs[1]->storage(), times[1],
+ (const CCTK_REAL8*)srcs[2]->storage(), times[2],
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(), time,
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+ }
+ break;
+ case 2:
+ case 3:
+ if (all (sext.stride() == dext.stride() * 2)) {
+ CCTK_FNAME(prolongate_3d_real8_3tl_o3_rf2)
+ ((const CCTK_REAL8*)srcs[0]->storage(), times[0],
+ (const CCTK_REAL8*)srcs[1]->storage(), times[1],
+ (const CCTK_REAL8*)srcs[2]->storage(), times[2],
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(), time,
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+ } else {
+ CCTK_FNAME(prolongate_3d_real8_3tl_o3)
+ ((const CCTK_REAL8*)srcs[0]->storage(), times[0],
+ (const CCTK_REAL8*)srcs[1]->storage(), times[1],
+ (const CCTK_REAL8*)srcs[2]->storage(), times[2],
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(), time,
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+ }
+ break;
+ case 4:
+ case 5:
+ CCTK_FNAME(prolongate_3d_real8_3tl_o5)
+ ((const CCTK_REAL8*)srcs[0]->storage(), times[0],
+ (const CCTK_REAL8*)srcs[1]->storage(), times[1],
+ (const CCTK_REAL8*)srcs[2]->storage(), times[2],
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(), time,
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+ break;
+ default:
+ assert (0);
+ }
+ break;
+
+ default:
+ assert (0);
+ } // switch (order_time)
+ break;
+
+ case op_TVD:
+ switch (order_time) {
+ case 0:
+ assert (times.size() == 1);
+ assert (abs(times[0] - time) < eps);
+ switch (order_space) {
+ case 0:
+ case 1:
+ CCTK_WARN (0, "There is no stencil for op=\"TVD\" with order_space=1");
+ break;
+ case 2:
+ case 3:
+ CCTK_FNAME(prolongate_3d_real8_rf2)
+ ((const CCTK_REAL8*)srcs[0]->storage(),
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(),
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+// CCTK_FNAME(prolongate_3d_real8_minmod)
+// ((const CCTK_REAL8*)srcs[0]->storage(),
+// srcshp[0], srcshp[1], srcshp[2],
+// (CCTK_REAL8*)storage(),
+// dstshp[0], dstshp[1], dstshp[2],
+// srcbbox, dstbbox, regbbox);
+ break;
+ default:
+ assert (0);
+ }
+ break;
+ case 1:
+ switch (order_space) {
+ case 0:
+ case 1:
+ CCTK_WARN (0, "There is no stencil for op=\"TVD\" with order_space=1");
+ break;
+ case 2:
+ case 3:
+ CCTK_FNAME(prolongate_3d_real8_2tl_rf2)
+ ((const CCTK_REAL8*)srcs[0]->storage(), times[0],
+ (const CCTK_REAL8*)srcs[1]->storage(), times[1],
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(), time,
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+// CCTK_FNAME(prolongate_3d_real8_2tl_minmod)
+// ((const CCTK_REAL8*)srcs[0]->storage(), times[0],
+// (const CCTK_REAL8*)srcs[1]->storage(), times[1],
+// srcshp[0], srcshp[1], srcshp[2],
+// (CCTK_REAL8*)storage(), time,
+// dstshp[0], dstshp[1], dstshp[2],
+// srcbbox, dstbbox, regbbox);
+ break;
+ default:
+ assert (0);
+ }
+ break;
+ case 2:
+ switch (order_space) {
+ case 0:
+ case 1:
+ CCTK_WARN (0, "There is no stencil for op=\"TVD\" with order_space=1");
+ break;
+ case 2:
+ case 3:
+ CCTK_FNAME(prolongate_3d_real8_3tl_rf2)
+ ((const CCTK_REAL8*)srcs[0]->storage(), times[0],
+ (const CCTK_REAL8*)srcs[1]->storage(), times[1],
+ (const CCTK_REAL8*)srcs[2]->storage(), times[2],
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(), time,
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+// CCTK_FNAME(prolongate_3d_real8_3tl_minmod)
+// ((const CCTK_REAL8*)srcs[0]->storage(), times[0],
+// (const CCTK_REAL8*)srcs[1]->storage(), times[1],
+// (const CCTK_REAL8*)srcs[2]->storage(), times[2],
+// srcshp[0], srcshp[1], srcshp[2],
+// (CCTK_REAL8*)storage(), time,
+// dstshp[0], dstshp[1], dstshp[2],
+// srcbbox, dstbbox, regbbox);
+ break;
+ default:
+ assert (0);
+ }
+ break;
+ default:
+ assert (0);
+ } // switch (order_time)
+ break;
+
+ case op_ENO:
+ switch (order_time) {
+ case 0:
+ assert (times.size() == 1);
+ assert (abs(times[0] - time) < eps);
+ switch (order_space) {
+ case 0:
+ case 1:
+ CCTK_WARN (0, "There is no stencil for op=\"ENO\" with order_space=1");
+ break;
+ case 2:
+ case 3:
+ CCTK_FNAME(prolongate_3d_real8_eno)
+ ((const CCTK_REAL8*)srcs[0]->storage(),
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(),
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+ break;
+ default:
+ assert (0);
+ }
+ break;
+ case 1:
+ switch (order_space) {
+ case 0:
+ case 1:
+ CCTK_WARN (0, "There is no stencil for op=\"ENO\" with order_space=1");
+ break;
+ case 2:
+ case 3:
+ CCTK_FNAME(prolongate_3d_real8_2tl_eno)
+ ((const CCTK_REAL8*)srcs[0]->storage(), times[0],
+ (const CCTK_REAL8*)srcs[1]->storage(), times[1],
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(), time,
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+ break;
+ default:
+ assert (0);
+ }
+ break;
+ case 2:
+ switch (order_space) {
+ case 0:
+ case 1:
+ CCTK_WARN (0, "There is no stencil for op=\"ENO\" with order_space=1");
+ break;
+ case 2:
+ case 3:
+ CCTK_FNAME(prolongate_3d_real8_3tl_eno)
+ ((const CCTK_REAL8*)srcs[0]->storage(), times[0],
+ (const CCTK_REAL8*)srcs[1]->storage(), times[1],
+ (const CCTK_REAL8*)srcs[2]->storage(), times[2],
+ srcshp[0], srcshp[1], srcshp[2],
+ (CCTK_REAL8*)storage(), time,
+ dstshp[0], dstshp[1], dstshp[2],
+ srcbbox, dstbbox, regbbox);
+ break;
+ default:
+ assert (0);
+ }
+ break;
+ default:
+ assert (0);
+ } // switch (order_time)
+ break;
+
+ default:
+ assert(0);
+ } // switch (transport_operator)
+
+ } else {
+ assert (0);
+ }
+}
+
+
+
+
+
+// Output
+template<class T,int D>
+ostream& data<T,D>::output (ostream& os) const
+{
+ T Tdummy;
+ os << "data<" << typestring(Tdummy) << "," << D << ">:"
+ << "extent=" << this->extent() << ","
+ << "stride=" << this->stride() << ",size=" << this->size();
+ return os;
+}
+
+
+
+#define INSTANTIATE(T) \
+template class data<T,3>;
+
+#include "instantiate"
+
+#undef INSTANTIATE
diff --git a/Carpet/CarpetLib/src/data.hh b/Carpet/CarpetLib/src/data.hh
new file mode 100644
index 000000000..ba44556ff
--- /dev/null
+++ b/Carpet/CarpetLib/src/data.hh
@@ -0,0 +1,130 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/data.hh,v 1.23 2004/06/08 22:57:22 schnetter Exp $
+
+#ifndef DATA_HH
+#define DATA_HH
+
+#include <cassert>
+#include <iostream>
+#include <string>
+#include <vector>
+
+#include "cctk.h"
+
+#include "defs.hh"
+#include "dist.hh"
+#include "bbox.hh"
+#include "gdata.hh"
+#include "vect.hh"
+
+using namespace std;
+
+
+
+// A distributed multi-dimensional array
+template<class T,int D>
+class data: public gdata<D>
+{
+
+ // Types
+ typedef vect<int,D> ivect;
+ typedef bbox<int,D> ibbox;
+
+ // Fields
+ T* _storage; // the data (if located on this processor)
+ size_t _allocated_bytes; // number of allocated bytes
+
+ // For vector groups with contiguous storage
+ int vectorlength; // number of vector elements
+ int vectorindex; // index of this vector element
+ data* vectorleader; // if index!=0: first vector element
+ vector<bool> vectorclients; // if index==0: registered elements
+
+ void register_client (int index);
+ void unregister_client (int index);
+ bool has_clients ();
+
+public:
+
+ // Constructors
+ data (const int varindex = -1,
+ const operator_type transport_operator = op_error,
+ const int vectorlength = 1, const int vectorindex = 0,
+ data* const vectorleader = NULL);
+ data (const int varindex, const operator_type transport_operator,
+ const int vectorlength, const int vectorindex,
+ data* const vectorleader,
+ const ibbox& extent, const int proc);
+
+ // Destructors
+ virtual ~data ();
+
+ // Pseudo constructors
+ virtual data* make_typed (const int varindex,
+ const operator_type transport_operator) const;
+
+ // Storage management
+private:
+ void getmem (const size_t nelems);
+ void freemem ();
+public:
+ virtual void allocate (const ibbox& extent, const int proc,
+ void* const mem=0);
+ virtual void free ();
+ virtual void transfer_from (gdata<D>* gsrc);
+
+private:
+ T* vectordata (const int vectorindex) const;
+public:
+
+ // Processor management
+ virtual void change_processor (comm_state<D>& state,
+ const int newproc, void* const mem=0);
+private:
+ virtual void change_processor_recv (const int newproc, void* const mem=0);
+ virtual void change_processor_send (const int newproc, void* const mem=0);
+ virtual void change_processor_wait (const int newproc, void* const mem=0);
+public:
+
+ // Accessors
+ virtual const void* storage () const
+ {
+ assert (this->_has_storage);
+ return _storage;
+ }
+
+ virtual void* storage () {
+ assert (this->_has_storage);
+ return _storage;
+ }
+
+ // Data accessors
+ const T& operator[] (const ivect& index) const
+ {
+ assert (_storage);
+ return _storage[offset(index)];
+ }
+
+ T& operator[] (const ivect& index)
+ {
+ assert (_storage);
+ return _storage[offset(index)];
+ }
+
+ // Data manipulators
+ void copy_from_innerloop (const gdata<D>* gsrc,
+ const ibbox& box);
+ void interpolate_from_innerloop (const vector<const gdata<D>*> gsrcs,
+ const vector<CCTK_REAL> times,
+ const ibbox& box, const CCTK_REAL time,
+ const int order_space,
+ const int order_time);
+
+public:
+
+ // Output
+ ostream& output (ostream& os) const;
+};
+
+
+
+#endif // DATA_HH
diff --git a/Carpet/CarpetLib/src/defs.cc b/Carpet/CarpetLib/src/defs.cc
new file mode 100644
index 000000000..69cd22fca
--- /dev/null
+++ b/Carpet/CarpetLib/src/defs.cc
@@ -0,0 +1,176 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/defs.cc,v 1.19 2004/05/21 18:13:41 schnetter Exp $
+
+#include <assert.h>
+#include <ctype.h>
+
+#include <iostream>
+#include <list>
+#include <set>
+#include <stack>
+#include <vector>
+
+#include "cctk.h"
+
+#include "defs.hh"
+
+using namespace std;
+
+
+
+template<class T>
+T ipow (T x, int y) {
+ if (y<0) {
+ y = -y;
+ x = T(1)/x;
+ }
+ T res = T(1);
+ for (;;) {
+ if (y%2) res *= x;
+ y /= 2;
+ if (y==0) break;
+ x *= x;
+ }
+ return res;
+}
+
+
+
+void skipws (istream& is) {
+ while (is.good() && isspace(is.peek())) {
+ is.get();
+ }
+}
+
+
+
+void expect (istream& is, const char c) {
+ if (is.peek() == c) return;
+ cout << "While reading characters from a stream:" << endl
+ << " Character '" << c << "' expected, but not found." << endl
+ << " The next up to 100 available characters are \"";
+ for (int i=0; i<100; ++i) {
+ const int uc = is.get();
+ if (uc<0) break;
+ cout << (unsigned char)uc;
+ }
+ cout << "\"." << endl;
+ throw input_error();
+}
+
+
+
+void consume (istream& is, const char c) {
+ expect (is, c);
+ is.get();
+}
+
+
+
+// Vector input
+template<class T>
+istream& input (istream& is, vector<T>& v) {
+ v.clear();
+ try {
+ skipws (is);
+ consume (is, '[');
+ skipws (is);
+ while (is.good() && is.peek() != ']') {
+ T elem;
+ is >> elem;
+ v.push_back (elem);
+ skipws (is);
+ if (is.peek() != ',') break;
+ is.get();
+ skipws (is);
+ }
+ skipws (is);
+ consume (is, ']');
+ } catch (input_error &err) {
+ cout << "Input error while reading a vector<>" << endl
+ << " The following elements have been read so far: " << v << endl;
+ throw err;
+ }
+ return is;
+}
+
+
+
+// List output
+template<class T>
+ostream& output (ostream& os, const list<T>& l) {
+ os << "[";
+ for (typename list<T>::const_iterator ti=l.begin(); ti!=l.end(); ++ti) {
+ if (ti!=l.begin()) os << ",";
+ os << *ti;
+ }
+ os << "]";
+ return os;
+}
+
+// Set output
+template<class T>
+ostream& output (ostream& os, const set<T>& s) {
+ os << "{";
+ for (typename set<T>::const_iterator ti=s.begin(); ti!=s.end(); ++ti) {
+ if (ti!=s.begin()) os << ",";
+ os << *ti;
+ }
+ os << "}";
+ return os;
+}
+
+// Stack output
+template<class T>
+ostream& output (ostream& os, const stack<T>& s) {
+ stack<T> s2 (s);
+ list<T> l;
+ while (! s2.empty()) {
+ l.insert (l.begin(), s2.top());
+ s2.pop();
+ }
+ return output (os, l);
+}
+
+// Vector output
+template<class T>
+ostream& output (ostream& os, const vector<T>& v) {
+ os << "[";
+ int cnt=0;
+ for (typename vector<T>::const_iterator ti=v.begin(); ti!=v.end(); ++ti) {
+ if (ti!=v.begin()) os << ",";
+ os << cnt++ << ":" << *ti;
+ }
+ os << "]";
+ return os;
+}
+
+
+
+#include "bbox.hh"
+#include "bboxset.hh"
+
+template int ipow (int x, int y);
+
+template istream& input (istream& os, vector<bbox<int,3> >& v);
+template istream& input (istream& os, vector<bbox<CCTK_REAL,3> >& v);
+template istream& input (istream& os, vector<vector<bbox<int,3> > >& v);
+template istream& input (istream& os, vector<vector<bbox<CCTK_REAL,3> > >& v);
+template istream& input (istream& os, vector<vect<vect<bool,2>,3> >& v);
+template istream& input (istream& os, vector<vector<vect<vect<bool,2>,3> > >& v);
+
+template ostream& output (ostream& os, const list<bbox<int,3> >& l);
+template ostream& output (ostream& os, const set<bbox<int,3> >& s);
+template ostream& output (ostream& os, const set<bboxset<int,3> >& s);
+template ostream& output (ostream& os, const stack<bbox<int,3> >& s);
+template ostream& output (ostream& os, const vector<int>& v);
+template ostream& output (ostream& os, const vector<CCTK_REAL>& v);
+template ostream& output (ostream& os, const vector<bbox<int,3> >& v);
+template ostream& output (ostream& os, const vector<bbox<CCTK_REAL,3> >& v);
+template ostream& output (ostream& os, const vector<list<bbox<int,3> > >& v);
+template ostream& output (ostream& os, const vector<vector<int> >& v);
+template ostream& output (ostream& os, const vector<vector<CCTK_REAL> >& v);
+template ostream& output (ostream& os, const vector<vector<bbox<int,3> > >& v);
+template ostream& output (ostream& os, const vector<vector<bbox<CCTK_REAL,3> > >& v);
+template ostream& output (ostream& os, const vector<vector<vect<vect<bool,2>,3> > >& v);
+template ostream& output (ostream& os, const vector<vect<vect<bool,2>,3> >& v);
+template ostream& output (ostream& os, const vector<vector<vector<bbox<int,3> > > >& v);
diff --git a/Carpet/CarpetLib/src/defs.hh b/Carpet/CarpetLib/src/defs.hh
new file mode 100644
index 000000000..4297ba8c6
--- /dev/null
+++ b/Carpet/CarpetLib/src/defs.hh
@@ -0,0 +1,194 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/defs.hh,v 1.13 2004/03/01 19:43:08 schnetter Exp $
+
+#ifndef DEFS_HH
+#define DEFS_HH
+
+#ifdef HAVE_CONFIG_H
+#include <config.h>
+#endif
+
+#include <assert.h>
+
+#include <algorithm>
+#include <complex>
+#include <iostream>
+#include <list>
+#include <set>
+#include <stack>
+#include <vector>
+
+#include "cctk.h"
+
+using namespace std;
+
+// A general type
+enum centering { vertex_centered, cell_centered };
+
+// Useful helper
+template<class T>
+inline T square (const T& x) { return x*x; }
+
+// Another useful helper
+template<class T>
+T ipow (T x, int y);
+
+
+
+// Input streams
+struct input_error { };
+void skipws (istream& is);
+void expect (istream& is, const char c);
+void consume (istream& is, const char c);
+
+
+
+// Names for types
+
+#if 0
+
+inline const char * typestring (const char& dummy)
+{ return "char"; }
+
+inline const char * typestring (const signed char& dummy)
+{ return "signed char"; }
+
+inline const char * typestring (const unsigned char& dummy)
+{ return "unsigned char"; }
+
+inline const char * typestring (const short& dummy)
+{ return "short"; }
+
+inline const char * typestring (const unsigned short& dummy)
+{ return "unsigned short"; }
+
+inline const char * typestring (const int& dummy)
+{ return "int"; }
+
+inline const char * typestring (const unsigned int& dummy)
+{ return "unsigned int"; }
+
+inline const char * typestring (const long& dummy)
+{ return "long"; }
+
+inline const char * typestring (const unsigned long& dummy)
+{ return "unsigned long"; }
+
+inline const char * typestring (const long long& dummy)
+{ return "long long"; }
+
+inline const char * typestring (const unsigned long long& dummy)
+{ return "unsigned long long"; }
+
+inline const char * typestring (const float& dummy)
+{ return "float"; }
+
+inline const char * typestring (const double& dummy)
+{ return "double"; }
+
+inline const char * typestring (const long double& dummy)
+{ return "long double"; }
+
+inline const char * typestring (const complex<float>& dummy)
+{ return "complex<float>"; }
+
+inline const char * typestring (const complex<double>& dummy)
+{ return "complex<double>"; }
+
+inline const char * typestring (const complex<long double>& dummy)
+{ return "complex<long double>"; }
+
+#else
+
+# ifdef CCTK_INT1
+inline const char * typestring (const CCTK_INT1& dummy)
+{ return "CCTK_INT1"; }
+# endif
+
+# ifdef CCTK_INT2
+inline const char * typestring (const CCTK_INT2& dummy)
+{ return "CCTK_INT2"; }
+# endif
+
+# ifdef CCTK_INT4
+inline const char * typestring (const CCTK_INT4& dummy)
+{ return "CCTK_INT4"; }
+# endif
+
+# ifdef CCTK_INT8
+inline const char * typestring (const CCTK_INT8& dummy)
+{ return "CCTK_INT8"; }
+# endif
+
+# ifdef CCTK_REAL4
+inline const char * typestring (const CCTK_REAL4& dummy)
+{ return "CCTK_REAL4"; }
+# endif
+
+# ifdef CCTK_REAL8
+inline const char * typestring (const CCTK_REAL8& dummy)
+{ return "CCTK_REAL8"; }
+# endif
+
+# ifdef CCTK_REAL16
+inline const char * typestring (const CCTK_REAL16& dummy)
+{ return "CCTK_REAL16"; }
+# endif
+
+# ifdef CCTK_REAL4
+inline const char * typestring (const CCTK_COMPLEX8& dummy)
+{ return "CCTK_COMPLEX8"; }
+# endif
+
+# ifdef CCTK_REAL8
+inline const char * typestring (const CCTK_COMPLEX16& dummy)
+{ return "CCTK_COMPLEX16"; }
+# endif
+
+# ifdef CCTK_REAL16
+inline const char * typestring (const CCTK_COMPLEX32& dummy)
+{ return "CCTK_COMPLEX32"; }
+# endif
+
+#endif
+
+
+
+// Container input
+template<class T> istream& input (istream& is, vector<T>& v);
+
+template<class T>
+inline istream& operator>> (istream& is, vector<T>& v) {
+ return input(is,v);
+}
+
+
+
+// Container output
+template<class T> ostream& output (ostream& os, const list<T>& l);
+template<class T> ostream& output (ostream& os, const set<T>& s);
+template<class T> ostream& output (ostream& os, const stack<T>& s);
+template<class T> ostream& output (ostream& os, const vector<T>& v);
+
+template<class T>
+inline ostream& operator<< (ostream& os, const list<T>& l) {
+ return output(os,l);
+}
+
+template<class T>
+inline ostream& operator<< (ostream& os, const set<T>& s) {
+ return output(os,s);
+}
+
+template<class T>
+inline ostream& operator<< (ostream& os, const stack<T>& s) {
+ return output(os,s);
+}
+
+template<class T>
+inline ostream& operator<< (ostream& os, const vector<T>& v) {
+ return output(os,v);
+}
+
+
+
+#endif // DEFS_HH
diff --git a/Carpet/CarpetLib/src/dh.cc b/Carpet/CarpetLib/src/dh.cc
new file mode 100644
index 000000000..e7e8778ff
--- /dev/null
+++ b/Carpet/CarpetLib/src/dh.cc
@@ -0,0 +1,689 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/dh.cc,v 1.57 2004/09/17 16:37:26 schnetter Exp $
+
+#include <assert.h>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "defs.hh"
+#include "dist.hh"
+#include "ggf.hh"
+#include "vect.hh"
+
+#include "dh.hh"
+
+using namespace std;
+
+
+
+// Constructors
+template<int D>
+dh<D>::dh (gh<D>& h,
+ const ivect& lghosts, const ivect& ughosts,
+ const int prolongation_order_space, const int buffer_width)
+ : h(h),
+ lghosts(lghosts), ughosts(ughosts),
+ prolongation_order_space(prolongation_order_space),
+ buffer_width(buffer_width)
+{
+ assert (all(lghosts>=0 && ughosts>=0));
+ assert (prolongation_order_space>=0);
+ assert (buffer_width>=0);
+ h.add(this);
+ CHECKPOINT;
+ recompose (false);
+}
+
+// Destructors
+template<int D>
+dh<D>::~dh ()
+{
+ CHECKPOINT;
+ h.remove(this);
+}
+
+// Helpers
+template<int D>
+int dh<D>::prolongation_stencil_size () const {
+ assert (prolongation_order_space>=0);
+ return prolongation_order_space/2;
+}
+
+// Modifiers
+template<int D>
+void dh<D>::recompose (const bool do_prolongate) {
+ DECLARE_CCTK_PARAMETERS;
+
+ CHECKPOINT;
+
+ boxes.clear();
+
+ boxes.resize(h.reflevels());
+ for (int rl=0; rl<h.reflevels(); ++rl) {
+ boxes.at(rl).resize(h.components(rl));
+ for (int c=0; c<h.components(rl); ++c) {
+ boxes.at(rl).at(c).resize(h.mglevels(rl,c));
+ for (int ml=0; ml<h.mglevels(rl,c); ++ml) {
+ const ibbox intr = h.extents.at(rl).at(c).at(ml);
+
+ // Interior
+ // (the interior of the grid has the extent as specified by
+ // the user)
+ boxes.at(rl).at(c).at(ml).interior = intr;
+
+ // Exterior (add ghost zones)
+ // (the content of the exterior is completely determined by
+ // the interior of this or other components; the content of
+ // the exterior is redundant)
+ ivect ldist(lghosts), udist(ughosts);
+ for (int d=0; d<D; ++d) {
+ if (h.outer_boundaries.at(rl).at(c)[d][0]) ldist[d] = 0;
+ if (h.outer_boundaries.at(rl).at(c)[d][1]) udist[d] = 0;
+ }
+ boxes.at(rl).at(c).at(ml).exterior = intr.expand(ldist, udist);
+
+ // Boundaries (ghost zones only)
+ // (interior + boundaries = exterior)
+ boxes.at(rl).at(c).at(ml).boundaries
+ = boxes.at(rl).at(c).at(ml).exterior - intr;
+
+ } // for ml
+ } // for c
+ } // for rl
+
+ for (int rl=0; rl<h.reflevels(); ++rl) {
+ for (int c=0; c<h.components(rl); ++c) {
+ for (int ml=0; ml<h.mglevels(rl,c); ++ml) {
+
+ // Sync boxes
+ const int cs = h.components(rl);
+ boxes.at(rl).at(c).at(ml).send_sync.resize(cs);
+ boxes.at(rl).at(c).at(ml).recv_sync.resize(cs);
+
+ // Refinement boxes
+ if (rl>0) {
+ const int csm1 = h.components(rl-1);
+ boxes.at(rl).at(c).at(ml).send_ref_coarse.resize(csm1);
+ boxes.at(rl).at(c).at(ml).recv_ref_coarse.resize(csm1);
+ boxes.at(rl).at(c).at(ml).recv_ref_bnd_coarse.resize(csm1);
+ }
+ if (rl<h.reflevels()-1) {
+ const int csp1 = h.components(rl+1);
+ boxes.at(rl).at(c).at(ml).recv_ref_fine.resize(csp1);
+ boxes.at(rl).at(c).at(ml).send_ref_fine.resize(csp1);
+ boxes.at(rl).at(c).at(ml).send_ref_bnd_fine.resize(csp1);
+ }
+
+ } // for ml
+ } // for c
+ } // for rl
+
+ for (int rl=0; rl<h.reflevels(); ++rl) {
+ for (int c=0; c<h.components(rl); ++c) {
+ for (int ml=0; ml<h.mglevels(rl,c); ++ml) {
+ const ibset& bnds = boxes.at(rl).at(c).at(ml).boundaries;
+
+ // Sync boxes
+ for (int cc=0; cc<h.components(rl); ++cc) {
+ assert (ml<h.mglevels(rl,cc));
+ // intersect boundaries with interior of that component
+ ibset ovlp = bnds & boxes.at(rl).at(cc).at(ml).interior;
+ ovlp.normalize();
+ for (typename ibset::const_iterator b=ovlp.begin();
+ b!=ovlp.end(); ++b) {
+ boxes.at(rl).at(c ).at(ml).recv_sync.at(cc).push_back(*b);
+ boxes.at(rl).at(cc).at(ml).send_sync.at(c ).push_back(*b);
+ }
+ } // for cc
+
+ } // for ml
+ } // for c
+ } // for rl
+
+ for (int rl=0; rl<h.reflevels(); ++rl) {
+ for (int c=0; c<h.components(rl); ++c) {
+ for (int ml=0; ml<h.mglevels(rl,c); ++ml) {
+ const ibbox& intr = boxes.at(rl).at(c).at(ml).interior;
+ const ibbox& extr = boxes.at(rl).at(c).at(ml).exterior;
+
+ // Multigrid boxes
+ if (ml>0) {
+ const ibbox intrf = boxes.at(rl).at(c).at(ml-1).interior;
+ const ibbox extrf = boxes.at(rl).at(c).at(ml-1).exterior;
+ // Restriction (interior)
+ {
+ // (the restriction must fill all of the interior of the
+ // coarse grid, and may use the exterior of the fine grid)
+ const ibbox recv = intr;
+ assert (intr.empty() || ! recv.empty());
+ const ibbox send = recv.expanded_for(extrf);
+ assert (intr.empty() || ! send.empty());
+ // TODO: put the check back in, taking outer boundaries
+ // into account
+#if 0
+ assert (send.is_contained_in(extrf));
+#endif
+ boxes.at(rl).at(c).at(ml-1).send_mg_coarse.push_back(send);
+ boxes.at(rl).at(c).at(ml ).recv_mg_fine .push_back(recv);
+ }
+ // Prolongation (interior)
+ {
+ // (the prolongation may use the exterior of the coarse
+ // grid, and may fill only the interior of the fine grid,
+ // and the bbox must be as large as possible)
+ const ibbox recv = extr.contracted_for(intrf) & intrf;
+ assert (intr.empty() || ! recv.empty());
+ const ibbox send = recv.expanded_for(extr);
+ assert (intr.empty() || ! send.empty());
+ boxes.at(rl).at(c).at(ml-1).recv_mg_coarse.push_back(recv);
+ boxes.at(rl).at(c).at(ml ).send_mg_fine .push_back(send);
+ }
+ } // if not finest multigrid level
+
+ } // for ml
+ } // for c
+ } // for rl
+
+ for (int rl=0; rl<h.reflevels(); ++rl) {
+ for (int c=0; c<h.components(rl); ++c) {
+ for (int ml=0; ml<h.mglevels(rl,c); ++ml) {
+ const ibbox& intr = boxes.at(rl).at(c).at(ml).interior;
+ const ibbox& extr = boxes.at(rl).at(c).at(ml).exterior;
+
+ // Refinement boxes
+ if (rl<h.reflevels()-1) {
+ for (int cc=0; cc<h.components(rl+1); ++cc) {
+ const ibbox intrf = boxes.at(rl+1).at(cc).at(ml).interior;
+ // Prolongation (interior)
+ // TODO: prefer boxes from the same processor
+ {
+ // (the prolongation may use the exterior of the coarse
+ // grid, and must fill all of the interior of the fine
+ // grid)
+ const int pss = prolongation_stencil_size();
+ ibset recvs
+ = extr.expand(-pss,-pss).contracted_for(intrf) & intrf;
+ const iblistvect& rrc
+ = boxes.at(rl+1).at(cc).at(ml).recv_ref_coarse;
+ for (typename iblistvect::const_iterator lvi=rrc.begin();
+ lvi!=rrc.end(); ++lvi) {
+ for (typename iblist::const_iterator li=lvi->begin();
+ li!=lvi->end(); ++li) {
+ recvs -= *li;
+ }
+ }
+ recvs.normalize();
+ assert (recvs.setsize() <= 1);
+ if (recvs.setsize() == 1) {
+ const ibbox recv = *recvs.begin();
+ const ibbox send = recv.expanded_for(extr);
+ assert (! send.empty());
+ assert (send.is_contained_in(extr));
+ boxes.at(rl+1).at(cc).at(ml).recv_ref_coarse.at(c )
+ .push_back(recv);
+ boxes.at(rl ).at(c ).at(ml).send_ref_fine .at(cc)
+ .push_back(send);
+ }
+ }
+
+ } // for cc
+ } // if not finest refinement level
+
+ } // for ml
+ } // for c
+ } // for rl
+
+ for (int rl=0; rl<h.reflevels(); ++rl) {
+ for (int c=0; c<h.components(rl); ++c) {
+ for (int ml=0; ml<h.mglevels(rl,c); ++ml) {
+ const ibbox& intr = boxes.at(rl).at(c).at(ml).interior;
+ const ibbox& extr = boxes.at(rl).at(c).at(ml).exterior;
+
+ // Refinement boxes
+ if (rl<h.reflevels()-1) {
+ for (int cc=0; cc<h.components(rl+1); ++cc) {
+ const ibbox intrf = boxes.at(rl+1).at(cc).at(ml).interior;
+ const ibbox& extrf = boxes.at(rl+1).at(cc).at(ml).exterior;
+ const ibset& bndsf = boxes.at(rl+1).at(cc).at(ml).boundaries;
+ // Prolongation (boundaries)
+ // TODO: prefer boxes from the same processor
+ {
+ // (the prolongation may use the exterior of the coarse
+ // grid, and must fill all of the boundary of the fine
+ // grid)
+ const int pss = prolongation_stencil_size();
+ // Prolongation boundaries
+ ibset pbndsf = bndsf;
+ {
+ // Do not count what is synced
+ const iblistvect& rs
+ = boxes.at(rl+1).at(cc).at(ml).recv_sync;
+ for (typename iblistvect::const_iterator lvi=rs.begin();
+ lvi!=rs.end(); ++lvi) {
+ for (typename iblist::const_iterator li=lvi->begin();
+ li!=lvi->end(); ++li) {
+ pbndsf -= *li;
+ }
+ }
+ pbndsf.normalize();
+ }
+ // Buffer zones
+ ibset buffers;
+ {
+ for (typename ibset::const_iterator pbi=pbndsf.begin();
+ pbi!=pbndsf.end(); ++pbi) {
+ buffers |= (*pbi).expand(buffer_width, buffer_width) & extrf;
+ }
+ buffers.normalize();
+ }
+ // Add boundaries
+ const ibbox maxrecvs
+ = extr.expand(-pss,-pss).contracted_for(extrf);
+ ibset recvs = buffers & maxrecvs;
+ recvs.normalize();
+ {
+ // Do not prolongate what is already prolongated
+ const iblistvect& rrbc
+ = boxes.at(rl+1).at(cc).at(ml).recv_ref_bnd_coarse;
+ for (typename iblistvect::const_iterator lvi=rrbc.begin();
+ lvi!=rrbc.end(); ++lvi) {
+ for (typename iblist::const_iterator li=lvi->begin();
+ li!=lvi->end(); ++li) {
+ recvs -= *li;
+ }
+ }
+ recvs.normalize();
+ }
+ {
+ for (typename ibset::const_iterator ri = recvs.begin();
+ ri != recvs.end(); ++ri) {
+ const ibbox & recv = *ri;
+ const ibbox send = recv.expanded_for(extr);
+ assert (! send.empty());
+ assert (send.is_contained_in(extr));
+ assert (send.is_contained_in(extr.expand(-pss,-pss)));
+ boxes.at(rl+1).at(cc).at(ml).recv_ref_bnd_coarse.at(c )
+ .push_back(recv);
+ boxes.at(rl ).at(c ).at(ml).send_ref_bnd_fine .at(cc)
+ .push_back(send);
+ }
+ }
+ }
+
+ } // for cc
+ } // if not finest refinement level
+
+ } // for ml
+ } // for c
+ } // for rl
+
+ for (int rl=0; rl<h.reflevels(); ++rl) {
+ for (int c=0; c<h.components(rl); ++c) {
+ for (int ml=0; ml<h.mglevels(rl,c); ++ml) {
+ const ibbox& intr = boxes.at(rl).at(c).at(ml).interior;
+ const ibbox& extr = boxes.at(rl).at(c).at(ml).exterior;
+
+ // Refinement boxes
+ if (rl<h.reflevels()-1) {
+ for (int cc=0; cc<h.components(rl+1); ++cc) {
+ const ibbox intrf = boxes.at(rl+1).at(cc).at(ml).interior;
+ // Restriction (interior)
+ {
+ // (the restriction may fill the interior of the of the
+ // coarse grid, and may use the interior of the fine
+ // grid, and the bbox must be as large as possible)
+ // (the restriction must not use points that are filled
+ // by boundary prolongation)
+ ibset sends = intrf & intr.expanded_for(intrf);
+ // remove what is received during boundary prolongation
+ for (int ccc=0; ccc<h.components(rl); ++ccc) {
+ const iblist& sendlist
+ = boxes.at(rl+1).at(cc).at(ml).recv_ref_bnd_coarse.at(ccc);
+ for (typename iblist::const_iterator sli = sendlist.begin();
+ sli != sendlist.end(); ++sli) {
+ sends -= *sli;
+ }
+ }
+ sends.normalize();
+ for (typename ibset::const_iterator si = sends.begin();
+ si != sends.end(); ++si) {
+ const ibbox recv = (*si).contracted_for(intr);
+ if (! recv.empty()) {
+ const ibbox & send = recv.expanded_for(intrf);
+ assert (! send.empty());
+ boxes.at(rl+1).at(cc).at(ml).send_ref_coarse.at(c )
+ .push_back(send);
+ boxes.at(rl ).at(c ).at(ml).recv_ref_fine .at(cc)
+ .push_back(recv);
+ }
+ }
+ }
+
+ } // for cc
+ } // if not finest refinement level
+
+ } // for ml
+ } // for c
+ } // for rl
+
+ for (int rl=0; rl<h.reflevels(); ++rl) {
+ for (int c=0; c<h.components(rl); ++c) {
+ for (int ml=0; ml<h.mglevels(rl,c); ++ml) {
+
+ // Boundaries that are not synced, or are neither synced nor
+ // prolonged to from coarser grids (outer boundaries)
+ ibset& sync_not = boxes.at(rl).at(c).at(ml).sync_not;
+ ibset& recv_not = boxes.at(rl).at(c).at(ml).recv_not;
+
+ // The whole boundary
+ sync_not = boxes.at(rl).at(c).at(ml).boundaries;
+ recv_not = boxes.at(rl).at(c).at(ml).boundaries;
+
+ // Subtract boxes received during synchronisation
+ const iblistvect& recv_sync = boxes.at(rl).at(c).at(ml).recv_sync;
+ for (typename iblistvect::const_iterator lvi=recv_sync.begin();
+ lvi!=recv_sync.end(); ++lvi) {
+ for (typename iblist::const_iterator li=lvi->begin();
+ li!=lvi->end(); ++li) {
+ sync_not -= *li;
+ recv_not -= *li;
+ }
+ }
+
+ // Subtract boxes received during prolongation
+ const iblistvect& recv_ref_bnd_coarse
+ = boxes.at(rl).at(c).at(ml).recv_ref_bnd_coarse;
+ for (typename iblistvect::const_iterator
+ lvi=recv_ref_bnd_coarse.begin();
+ lvi!=recv_ref_bnd_coarse.end(); ++lvi) {
+ for (typename iblist::const_iterator li=lvi->begin();
+ li!=lvi->end(); ++li) {
+ recv_not -= *li;
+ }
+ }
+
+ } // for ml
+ } // for c
+ } // for rl
+
+ // Calculate bases
+ bases.resize(h.reflevels());
+ for (int rl=0; rl<h.reflevels(); ++rl) {
+ if (h.components(rl)==0) {
+ bases.at(rl).resize(0);
+ } else {
+ bases.at(rl).resize(h.mglevels(rl,0));
+ for (int ml=0; ml<h.mglevels(rl,0); ++ml) {
+ bases.at(rl).at(ml).exterior = ibbox();
+ bases.at(rl).at(ml).interior = ibbox();
+ for (int c=0; c<h.components(rl); ++c) {
+ bases.at(rl).at(ml).exterior
+ = (bases.at(rl).at(ml).exterior
+ .expanded_containing(boxes.at(rl).at(c).at(ml).exterior));
+ bases.at(rl).at(ml).interior
+ = (bases.at(rl).at(ml).interior
+ .expanded_containing(boxes.at(rl).at(c).at(ml).interior));
+ }
+ bases.at(rl).at(ml).boundaries
+ = bases.at(rl).at(ml).exterior - bases.at(rl).at(ml).interior;
+ }
+ }
+ }
+
+ if (output_bboxes) {
+ cout << endl << h << endl;
+ for (int rl=0; rl<h.reflevels(); ++rl) {
+ for (int c=0; c<h.components(rl); ++c) {
+ for (int ml=0; ml<h.mglevels(rl,c); ++ml) {
+ cout << endl;
+ cout << "dh bboxes:" << endl;
+ cout << "rl=" << rl << " c=" << c << " ml=" << ml << endl;
+ cout << "exterior=" << boxes.at(rl).at(c).at(ml).exterior << endl;
+ cout << "interior=" << boxes.at(rl).at(c).at(ml).interior << endl;
+ cout << "send_mg_fine=" << boxes.at(rl).at(c).at(ml).send_mg_fine << endl;
+ cout << "send_mg_coarse=" << boxes.at(rl).at(c).at(ml).send_mg_coarse << endl;
+ cout << "recv_mg_fine=" << boxes.at(rl).at(c).at(ml).recv_mg_fine << endl;
+ cout << "recv_mg_coarse=" << boxes.at(rl).at(c).at(ml).recv_mg_coarse << endl;
+ cout << "send_ref_fine=" << boxes.at(rl).at(c).at(ml).send_ref_fine << endl;
+ cout << "send_ref_coarse=" << boxes.at(rl).at(c).at(ml).send_ref_coarse << endl;
+ cout << "recv_ref_fine=" << boxes.at(rl).at(c).at(ml).recv_ref_fine << endl;
+ cout << "recv_ref_coarse=" << boxes.at(rl).at(c).at(ml).recv_ref_coarse << endl;
+ cout << "send_sync=" << boxes.at(rl).at(c).at(ml).send_sync << endl;
+ cout << "send_ref_bnd_fine=" << boxes.at(rl).at(c).at(ml).send_ref_bnd_fine << endl;
+ cout << "boundaries=" << boxes.at(rl).at(c).at(ml).boundaries << endl;
+ cout << "recv_sync=" << boxes.at(rl).at(c).at(ml).recv_sync << endl;
+ cout << "recv_ref_bnd_coarse=" << boxes.at(rl).at(c).at(ml).recv_ref_bnd_coarse << endl;
+ cout << "sync_not=" << boxes.at(rl).at(c).at(ml).sync_not << endl;
+ cout << "recv_not=" << boxes.at(rl).at(c).at(ml).recv_not << endl;
+ }
+ }
+ }
+ for (int rl=0; rl<h.reflevels(); ++rl) {
+ if (h.components(rl)>0) {
+ for (int ml=0; ml<h.mglevels(rl,0); ++ml) {
+ cout << endl;
+ cout << "dh bases:" << endl;
+ cout << "rl=" << rl << " ml=" << ml << endl;
+ cout << "exterior=" << bases.at(rl).at(ml).exterior << endl;
+ cout << "interior=" << bases.at(rl).at(ml).interior << endl;
+ cout << "boundaries=" << bases.at(rl).at(ml).boundaries << endl;
+ }
+ }
+ }
+ } // if output_bboxes
+
+ for (int rl=0; rl<h.reflevels(); ++rl) {
+ for (int c=0; c<h.components(rl); ++c) {
+ for (int ml=0; ml<h.mglevels(rl,c); ++ml) {
+
+ // Assert that all boundaries are synced or received
+ {
+ const ibset& sync_not = boxes.at(rl).at(c).at(ml).sync_not;
+#if 0
+ const ibset& recv_not = boxes.at(rl).at(c).at(ml).recv_not;
+#endif
+
+ // Check that no boundaries are left over
+ if (rl==0) assert (sync_not.empty());
+#if 0
+ assert (recv_not.empty());
+#endif
+ }
+
+ // Assert that the interior is received exactly once during
+ // prolongation, and that nothing else is received
+ {
+ if (rl==0) {
+ const iblistvect& recv_ref_coarse
+ = boxes.at(rl).at(c).at(ml).recv_ref_coarse;
+ assert (recv_ref_coarse.empty());
+ } else { // rl!=0
+ const iblistvect& recv_ref_coarse
+ = boxes.at(rl).at(c).at(ml).recv_ref_coarse;
+ ibset intr = boxes.at(rl).at(c).at(ml).interior;
+ for (typename iblistvect::const_iterator
+ lvi=recv_ref_coarse.begin();
+ lvi!=recv_ref_coarse.end(); ++lvi) {
+ for (typename iblist::const_iterator li=lvi->begin();
+ li!=lvi->end(); ++li) {
+ const int old_sz = intr.size();
+ const int this_sz = li->size();
+ intr -= *li;
+ const int new_sz = intr.size();
+ // TODO
+ assert (new_sz + this_sz == old_sz);
+ }
+ }
+ // TODO
+ // This need not be empty at outer boundaries. Check that
+ // those are indeed outer boundaries! But what size of the
+ // boundary region should be used for that?
+#if 0
+ assert (intr.empty());
+#endif
+ }
+ }
+
+ // Assert that the boundaries are received at most once during
+ // prolongation and synchronisation, and that nothing else is
+ // received
+ {
+ const iblistvect& recv_sync = boxes.at(rl).at(c).at(ml).recv_sync;
+ const iblistvect& recv_ref_bnd_coarse
+ = boxes.at(rl).at(c).at(ml).recv_ref_bnd_coarse;
+ ibset bnds = boxes.at(rl).at(c).at(ml).boundaries;
+ for (typename iblistvect::const_iterator lvi=recv_sync.begin();
+ lvi!=recv_sync.end(); ++lvi) {
+ for (typename iblist::const_iterator li=lvi->begin();
+ li!=lvi->end(); ++li) {
+ const int old_sz = bnds.size();
+ const int this_sz = li->size();
+ bnds -= *li;
+ const int new_sz = bnds.size();
+ assert (new_sz + this_sz == old_sz);
+ }
+ }
+ for (typename iblistvect::const_iterator
+ lvi=recv_ref_bnd_coarse.begin();
+ lvi!=recv_ref_bnd_coarse.end(); ++lvi) {
+ for (typename iblist::const_iterator li=lvi->begin();
+ li!=lvi->end(); ++li) {
+ const int old_sz = bnds.size();
+ const int this_sz = li->size();
+ bnds -= *li;
+ const int new_sz = bnds.size();
+ // TODO
+ // The new size can be larger if part of the
+ // prolongation went into the buffer zone.
+// assert (new_sz + this_sz == old_sz);
+ assert (new_sz + this_sz >= old_sz);
+ }
+ }
+ // TODO
+ // This need not be empty at outer boundaries. Check that
+ // those are indeed outer boundaries! But what size of the
+ // boundary region should be used for that?
+#if 0
+ assert (bnds.empty());
+#endif
+ }
+
+ } // for ml
+ } // for c
+ } // for rl
+
+ if (! save_memory_during_regridding) {
+
+ for (typename list<ggf<D>*>::iterator f=gfs.begin(); f!=gfs.end(); ++f) {
+ (*f)->recompose_crop ();
+ }
+ for (int rl=0; rl<h.reflevels(); ++rl) {
+ for (typename list<ggf<D>*>::iterator f=gfs.begin(); f!=gfs.end(); ++f) {
+ (*f)->recompose_allocate (rl);
+ }
+ for (comm_state<D> state; !state.done(); state.step()) {
+ for (typename list<ggf<D>*>::iterator f=gfs.begin(); f!=gfs.end(); ++f) {
+ (*f)->recompose_fill (state, rl, do_prolongate);
+ }
+ }
+ for (typename list<ggf<D>*>::reverse_iterator f=gfs.rbegin(); f!=gfs.rend(); ++f) {
+ (*f)->recompose_free (rl);
+ }
+ for (comm_state<D> state; !state.done(); state.step()) {
+ for (typename list<ggf<D>*>::iterator f=gfs.begin(); f!=gfs.end(); ++f) {
+ (*f)->recompose_bnd_prolongate (state, rl, do_prolongate);
+ }
+ }
+ for (comm_state<D> state; !state.done(); state.step()) {
+ for (typename list<ggf<D>*>::iterator f=gfs.begin(); f!=gfs.end(); ++f) {
+ (*f)->recompose_sync (state, rl, do_prolongate);
+ }
+ }
+ } // for rl
+
+ } else { // save memory
+
+ ggf<D>* vectorleader = NULL;
+ for (typename list<ggf<D>*>::iterator f=gfs.begin(); f!=gfs.end(); ++f) {
+
+ (*f)->recompose_crop ();
+ for (int rl=0; rl<h.reflevels(); ++rl) {
+ (*f)->recompose_allocate (rl);
+ for (comm_state<D> state; !state.done(); state.step()) {
+ (*f)->recompose_fill (state, rl, do_prolongate);
+ }
+ assert ((*f)->vectorlength >= 1);
+ if ((*f)->vectorlength == 1) {
+ assert (! vectorleader);
+ (*f)->recompose_free (rl);
+ } else {
+ // treat vector groups specially: delete the leader only
+ // after all other elements have been deleted
+ if ((*f)->vectorindex == 0) {
+ // first element: delete nothing
+ if (rl == 0) {
+ assert (! vectorleader);
+ vectorleader = *f;
+ }
+ assert (vectorleader);
+ } else {
+ assert (vectorleader);
+ (*f)->recompose_free (rl);
+ if ((*f)->vectorindex == (*f)->vectorlength-1) {
+ // this was the last element: delete the leader as well
+ vectorleader->recompose_free (rl);
+ if (rl == h.reflevels()-1) {
+ vectorleader = NULL;
+ }
+ }
+ }
+ }
+ for (comm_state<D> state; !state.done(); state.step()) {
+ (*f)->recompose_bnd_prolongate (state, rl, do_prolongate);
+ }
+ for (comm_state<D> state; !state.done(); state.step()) {
+ (*f)->recompose_sync (state, rl, do_prolongate);
+ }
+ } // for rl
+
+ } // for gf
+ assert (! vectorleader);
+
+ } // save memory
+}
+
+
+
+// Grid function management
+template<int D>
+void dh<D>::add (ggf<D>* f) {
+ CHECKPOINT;
+ gfs.push_back(f);
+}
+
+template<int D>
+void dh<D>::remove (ggf<D>* f) {
+ CHECKPOINT;
+ gfs.remove(f);
+}
+
+
+
+// Output
+template<int D>
+void dh<D>::output (ostream& os) const {
+ os << "dh<" << D << ">:"
+ << "ghosts=[" << lghosts << "," << ughosts << "],"
+ << "gfs={";
+ int cnt=0;
+ for (typename list<ggf<D>*>::const_iterator f = gfs.begin();
+ f != gfs.end(); ++f) {
+ if (cnt++) os << ",";
+ (*f)->output(os);
+ }
+ os << "}";
+}
+
+
+
+template class dh<3>;
diff --git a/Carpet/CarpetLib/src/dh.hh b/Carpet/CarpetLib/src/dh.hh
new file mode 100644
index 000000000..22a9bd425
--- /dev/null
+++ b/Carpet/CarpetLib/src/dh.hh
@@ -0,0 +1,146 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/dh.hh,v 1.20 2004/08/07 19:47:11 schnetter Exp $
+
+#ifndef DH_HH
+#define DH_HH
+
+#include <assert.h>
+
+#include <iostream>
+#include <list>
+#include <string>
+#include <vector>
+
+#include "bbox.hh"
+#include "bboxset.hh"
+#include "defs.hh"
+#include "gh.hh"
+#include "vect.hh"
+
+using namespace std;
+
+
+
+// Forward declaration
+template<int D> class ggf;
+template<int D> class dh;
+
+// Output
+template<int D>
+ostream& operator<< (ostream& os, const dh<D>& d);
+
+
+
+// A data hierarchy (grid hierarchy plus ghost zones)
+template<int D>
+class dh {
+
+ // Types
+ typedef vect<int,D> ivect;
+ typedef bbox<int,D> ibbox;
+ typedef bboxset<int,D> ibset;
+ typedef list<ibbox> iblist;
+ typedef vector<iblist> iblistvect; // vector of lists
+
+public:
+
+ // in here, the term "boundary" means both ghost zones and
+ // refinement boundaries, but does not refer to outer (physical)
+ // boundaries.
+
+ // ghost zones, refinement boundaries, and outer boundaries are not
+ // used as sources for synchronisation. this design choice might
+ // not be good.
+
+ struct dboxes {
+ ibbox exterior; // whole region (including boundaries)
+
+ ibbox interior; // interior (without boundaries)
+ iblist send_mg_fine;
+ iblist send_mg_coarse;
+ iblist recv_mg_fine;
+ iblist recv_mg_coarse;
+ iblistvect send_ref_fine;
+ iblistvect send_ref_coarse;
+ iblistvect recv_ref_fine;
+ iblistvect recv_ref_coarse;
+ iblistvect send_sync; // send while syncing
+ iblistvect send_ref_bnd_fine; // sent to finer grids
+
+ ibset boundaries; // boundaries
+ iblistvect recv_sync; // received while syncing
+ iblistvect recv_ref_bnd_coarse; // received from coarser grids
+ ibset sync_not; // not received while syncing (outer boundary of that level)
+ ibset recv_not; // not received while syncing or prolongating (globally outer boundary)
+
+#if 0
+ // after regridding:
+ iblistvect prev_send; // sent from previous dh
+ iblistvect recv_prev; // received from previous dh
+ iblistvect send_prev_fine; // sent to finer
+ iblistvect recv_prev_coarse; // received from coarser
+#endif
+ };
+
+private:
+
+ struct dbases {
+ ibbox exterior; // whole region (including boundaries)
+ ibbox interior; // interior (without boundaries)
+ ibset boundaries; // boundaries
+ };
+
+ typedef vector<dboxes> mboxes; // ... for each multigrid level
+ typedef vector<mboxes> cboxes; // ... for each component
+ typedef vector<cboxes> rboxes; // ... for each refinement level
+
+ typedef vector<dbases> mbases; // ... for each multigrid level
+ typedef vector<mbases> rbases; // ... for each refinement level
+
+public: // should be readonly
+
+ // Fields
+ gh<D>& h; // hierarchy
+ ivect lghosts, ughosts; // ghost zones
+
+ int prolongation_order_space; // order of spatial prolongation operator
+ int buffer_width; // buffer inside refined grids
+
+ rboxes boxes;
+ rbases bases;
+
+ list<ggf<D>*> gfs; // list of all grid functions
+
+public:
+
+ // Constructors
+ dh (gh<D>& h, const ivect& lghosts, const ivect& ughosts,
+ int prolongation_order_space, int buffer_width);
+
+ // Destructors
+ virtual ~dh ();
+
+ // Helpers
+ int prolongation_stencil_size () const;
+
+ // Modifiers
+ void recompose (const bool do_prolongate);
+
+ // Grid function management
+ void add (ggf<D>* f);
+ void remove (ggf<D>* f);
+
+ // Output
+ virtual void output (ostream& os) const;
+};
+
+
+
+template<int D>
+inline ostream& operator<< (ostream& os, const dh<D>& d) {
+ d.output(os);
+ return os;
+}
+
+
+
+#endif // DH_HH
diff --git a/Carpet/CarpetLib/src/dist.cc b/Carpet/CarpetLib/src/dist.cc
new file mode 100644
index 000000000..7e41e3cdb
--- /dev/null
+++ b/Carpet/CarpetLib/src/dist.cc
@@ -0,0 +1,83 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/dist.cc,v 1.8 2004/07/08 12:36:01 tradke Exp $
+
+#include <assert.h>
+
+#include <mpi.h>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "defs.hh"
+
+#include "dist.hh"
+
+using namespace std;
+
+
+
+namespace dist {
+
+ MPI_Comm comm = MPI_COMM_NULL;
+
+#if 0
+ MPI_Datatype mpi_complex_float;
+ MPI_Datatype mpi_complex_double;
+ MPI_Datatype mpi_complex_long_double;
+#else
+ MPI_Datatype mpi_complex8;
+ MPI_Datatype mpi_complex16;
+ MPI_Datatype mpi_complex32;
+#endif
+
+ void init (int& argc, char**& argv) {
+ MPI_Init (&argc, &argv);
+ pseudoinit();
+ }
+
+ void pseudoinit () {
+ comm = MPI_COMM_WORLD;
+
+#if 0
+ MPI_Type_contiguous (2, MPI_FLOAT, &mpi_complex_float);
+ MPI_Type_commit (&mpi_complex_float);
+ MPI_Type_contiguous (2, MPI_DOUBLE, &mpi_complex_double);
+ MPI_Type_commit (&mpi_complex_double);
+ MPI_Type_contiguous (2, MPI_LONG_DOUBLE, &mpi_complex_long_double);
+ MPI_Type_commit (&mpi_complex_long_double);
+#else
+# ifdef CCTK_REAL4
+ CCTK_REAL4 dummy4;
+ MPI_Type_contiguous (2, datatype(dummy4), &mpi_complex8);
+ MPI_Type_commit (&mpi_complex8);
+# endif
+# ifdef CCTK_REAL8
+ CCTK_REAL8 dummy8;
+ MPI_Type_contiguous (2, datatype(dummy8), &mpi_complex16);
+ MPI_Type_commit (&mpi_complex16);
+# endif
+# ifdef CCTK_REAL16
+ CCTK_REAL16 dummy16;
+ MPI_Type_contiguous (2, datatype(dummy16), &mpi_complex32);
+ MPI_Type_commit (&mpi_complex32);
+# endif
+#endif
+ }
+
+ void finalize () {
+ MPI_Finalize ();
+ }
+
+ void checkpoint (const char* file, int line) {
+ DECLARE_CCTK_PARAMETERS;
+ if (verbose) {
+ int rank;
+ MPI_Comm_rank (comm, &rank);
+ printf ("CHECKPOINT: processor %d, file %s, line %d\n",
+ rank, file, line);
+ }
+ if (barriers) {
+ MPI_Barrier (comm);
+ }
+ }
+
+} // namespace dist
diff --git a/Carpet/CarpetLib/src/dist.hh b/Carpet/CarpetLib/src/dist.hh
new file mode 100644
index 000000000..ab89ae580
--- /dev/null
+++ b/Carpet/CarpetLib/src/dist.hh
@@ -0,0 +1,120 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/dist.hh,v 1.10 2004/03/01 19:43:39 schnetter Exp $
+
+#ifndef DIST_HH
+#define DIST_HH
+
+#include <assert.h>
+#include <stdio.h>
+#include <stdlib.h>
+
+#include <complex>
+
+#include <mpi.h>
+
+#include "cctk.h"
+
+#include "defs.hh"
+
+using namespace std;
+
+
+
+namespace dist {
+
+ extern MPI_Comm comm;
+
+#if 0
+ extern MPI_Datatype mpi_complex_float;
+ extern MPI_Datatype mpi_complex_double;
+ extern MPI_Datatype mpi_complex_long_double;
+#else
+ extern MPI_Datatype mpi_complex8;
+ extern MPI_Datatype mpi_complex16;
+ extern MPI_Datatype mpi_complex32;
+#endif
+
+ void init (int& argc, char**& argv);
+ void pseudoinit ();
+ void finalize ();
+
+ // Debugging output
+#define CHECKPOINT dist::checkpoint(__FILE__, __LINE__)
+ void checkpoint (const char* file, int line);
+
+
+
+ // Datatype helpers
+ inline MPI_Datatype datatype (const char& dummy)
+ { return MPI_CHAR; }
+
+ inline MPI_Datatype datatype (const signed char& dummy)
+ { return MPI_UNSIGNED_CHAR; }
+
+ inline MPI_Datatype datatype (const unsigned char& dummy)
+ { return MPI_BYTE; }
+
+ inline MPI_Datatype datatype (const short& dummy)
+ { return MPI_SHORT; }
+
+ inline MPI_Datatype datatype (const unsigned short& dummy)
+ { return MPI_UNSIGNED_SHORT; }
+
+ inline MPI_Datatype datatype (const int& dummy)
+ { return MPI_INT; }
+
+ inline MPI_Datatype datatype (const unsigned int& dummy)
+ { return MPI_UNSIGNED; }
+
+ inline MPI_Datatype datatype (const long& dummy)
+ { return MPI_LONG; }
+
+ inline MPI_Datatype datatype (const unsigned long& dummy)
+ { return MPI_UNSIGNED_LONG; }
+
+ inline MPI_Datatype datatype (const long long& dummy)
+ { return MPI_LONG_LONG_INT; }
+
+ inline MPI_Datatype datatype (const float& dummy)
+ { return MPI_FLOAT; }
+
+ inline MPI_Datatype datatype (const double& dummy)
+ { return MPI_DOUBLE; }
+
+ inline MPI_Datatype datatype (const long double& dummy)
+ { return MPI_LONG_DOUBLE; }
+
+#if 0
+
+ inline MPI_Datatype datatype (const complex<float>& dummy)
+ { return mpi_complex_float; }
+
+ inline MPI_Datatype datatype (const complex<double>& dummy)
+ { return mpi_complex_double; }
+
+ inline MPI_Datatype datatype (const complex<long double>& dummy)
+ { return mpi_complex_long_double; }
+
+#else
+
+# ifdef CCTK_REAL4
+ inline MPI_Datatype datatype (const CCTK_COMPLEX8& dummy)
+ { return mpi_complex8; }
+# endif
+
+# ifdef CCTK_REAL8
+ inline MPI_Datatype datatype (const CCTK_COMPLEX16& dummy)
+ { return mpi_complex16; }
+# endif
+
+# ifdef CCTK_REAL16
+ inline MPI_Datatype datatype (const CCTK_COMPLEX32& dummy)
+ { return mpi_complex32; }
+# endif
+
+#endif
+
+} // namespace dist
+
+
+
+#endif // DIST_HH
diff --git a/Carpet/CarpetLib/src/gdata.cc b/Carpet/CarpetLib/src/gdata.cc
new file mode 100644
index 000000000..f05c88122
--- /dev/null
+++ b/Carpet/CarpetLib/src/gdata.cc
@@ -0,0 +1,438 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/gdata.cc,v 1.29 2004/04/07 16:58:07 schnetter Exp $
+
+#include <assert.h>
+#include <stdlib.h>
+
+#include <iostream>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "util_ErrorCodes.h"
+#include "util_Table.h"
+
+#include "bbox.hh"
+#include "defs.hh"
+#include "dist.hh"
+#include "vect.hh"
+
+#include "gdata.hh"
+
+using namespace std;
+
+
+
+// Communication state control
+template<int D>
+comm_state<D>::comm_state ()
+ : thestate(state_recv),
+ current(0)
+{
+}
+
+template<int D>
+void comm_state<D>::step ()
+{
+ assert (thestate!=state_done);
+ assert (current==tmps.size());
+ thestate=astate(size_t(thestate)+1);
+ current=0;
+}
+
+template<int D>
+bool comm_state<D>::done ()
+{
+ return thestate==state_done;
+}
+
+template<int D>
+comm_state<D>::~comm_state ()
+{
+ assert (thestate==state_recv || thestate==state_done);
+}
+
+
+
+// Hand out the next MPI tag
+static int nexttag ()
+{
+ static int last = 100;
+ ++last;
+ if (last > 30000) last = 100;
+ return last;
+}
+
+
+
+// Constructors
+template<int D>
+gdata<D>::gdata (const int varindex_, const operator_type transport_operator_)
+ : varindex(varindex_), transport_operator(transport_operator_),
+ wtime_isend(0.0), wtime_isendwait(0.0),
+ wtime_irecv(0.0), wtime_irecvwait(0.0),
+ _has_storage(false),
+ comm_active(false),
+ tag(nexttag())
+{
+ DECLARE_CCTK_PARAMETERS;
+ if (barriers) {
+ MPI_Barrier (dist::comm);
+ }
+}
+
+// Destructors
+template<int D>
+gdata<D>::~gdata ()
+{
+ DECLARE_CCTK_PARAMETERS;
+ if (barriers) {
+ MPI_Barrier (dist::comm);
+ }
+}
+
+
+
+// Data manipulators
+template<int D>
+void gdata<D>::copy_from (comm_state<D>& state,
+ const gdata* src, const ibbox& box)
+{
+ switch (state.thestate) {
+ case state_recv:
+ copy_from_recv (state, src, box);
+ break;
+ case state_send:
+ copy_from_send (state, src, box);
+ break;
+ case state_wait:
+ copy_from_wait (state, src, box);
+ break;
+ default:
+ assert(0);
+ }
+}
+
+
+
+template<int D>
+void gdata<D>::copy_from_nocomm (const gdata* src, const ibbox& box)
+{
+ assert (has_storage() && src->has_storage());
+ assert (all(box.lower()>=extent().lower()
+ && box.lower()>=src->extent().lower()));
+ assert (all(box.upper()<=extent().upper()
+ && box.upper()<=src->extent().upper()));
+ assert (all(box.stride()==extent().stride()
+ && box.stride()==src->extent().stride()));
+ assert (all((box.lower()-extent().lower())%box.stride() == 0
+ && (box.lower()-src->extent().lower())%box.stride() == 0));
+
+ if (box.empty()) return;
+
+ assert (proc() == src->proc());
+
+ // copy on same processor
+ int rank;
+ MPI_Comm_rank (dist::comm, &rank);
+ if (rank == proc()) {
+ copy_from_innerloop (src, box);
+ }
+}
+
+
+
+template<int D>
+void gdata<D>::copy_from_recv (comm_state<D>& state,
+ const gdata* src, const ibbox& box)
+{
+ assert (has_storage() && src->has_storage());
+ assert (all(box.lower()>=extent().lower()
+ && box.lower()>=src->extent().lower()));
+ assert (all(box.upper()<=extent().upper()
+ && box.upper()<=src->extent().upper()));
+ assert (all(box.stride()==extent().stride()
+ && box.stride()==src->extent().stride()));
+ assert (all((box.lower()-extent().lower())%box.stride() == 0
+ && (box.lower()-src->extent().lower())%box.stride() == 0));
+
+ if (box.empty()) return;
+
+ if (proc() == src->proc()) {
+ // copy on same processor
+
+ } else {
+
+ // copy to different processor
+ gdata<D>* const tmp = make_typed(varindex, transport_operator);
+ // TODO: is this efficient?
+ state.tmps.push_back (tmp);
+ ++state.current;
+ tmp->allocate (box, src->proc());
+ tmp->change_processor_recv (proc());
+
+ }
+}
+
+
+
+template<int D>
+void gdata<D>::copy_from_send (comm_state<D>& state,
+ const gdata* src, const ibbox& box)
+{
+ assert (has_storage() && src->has_storage());
+ assert (all(box.lower()>=extent().lower()
+ && box.lower()>=src->extent().lower()));
+ assert (all(box.upper()<=extent().upper()
+ && box.upper()<=src->extent().upper()));
+ assert (all(box.stride()==extent().stride()
+ && box.stride()==src->extent().stride()));
+ assert (all((box.lower()-extent().lower())%box.stride() == 0
+ && (box.lower()-src->extent().lower())%box.stride() == 0));
+
+ if (box.empty()) return;
+
+ if (proc() == src->proc()) {
+ // copy on same processor
+
+ copy_from_nocomm (src, box);
+
+ } else {
+
+ // copy to different processor
+ gdata<D>* const tmp = state.tmps.at(state.current++);
+ assert (tmp);
+ tmp->copy_from_nocomm (src, box);
+ tmp->change_processor_send (proc());
+
+ }
+}
+
+
+
+template<int D>
+void gdata<D>::copy_from_wait (comm_state<D>& state,
+ const gdata* src, const ibbox& box)
+{
+ assert (has_storage() && src->has_storage());
+ assert (all(box.lower()>=extent().lower()
+ && box.lower()>=src->extent().lower()));
+ assert (all(box.upper()<=extent().upper()
+ && box.upper()<=src->extent().upper()));
+ assert (all(box.stride()==extent().stride()
+ && box.stride()==src->extent().stride()));
+ assert (all((box.lower()-extent().lower())%box.stride() == 0
+ && (box.lower()-src->extent().lower())%box.stride() == 0));
+
+ if (box.empty()) return;
+
+ if (proc() == src->proc()) {
+ // copy on same processor
+
+ } else {
+
+ // copy to different processor
+ gdata<D>* const tmp = state.tmps.at(state.current++);
+ assert (tmp);
+ tmp->change_processor_wait (proc());
+ copy_from_nocomm (tmp, box);
+ delete tmp;
+
+ }
+}
+
+
+
+template<int D>
+void gdata<D>
+::interpolate_from (comm_state<D>& state,
+ const vector<const gdata*> srcs,
+ const vector<CCTK_REAL> times,
+ const ibbox& box, const CCTK_REAL time,
+ const int order_space,
+ const int order_time)
+{
+ assert (transport_operator != op_error);
+ if (transport_operator == op_none) return;
+ switch (state.thestate) {
+ case state_recv:
+ interpolate_from_recv (state, srcs, times, box, time, order_space, order_time);
+ break;
+ case state_send:
+ interpolate_from_send (state, srcs, times, box, time, order_space, order_time);
+ break;
+ case state_wait:
+ interpolate_from_wait (state, srcs, times, box, time, order_space, order_time);
+ break;
+ default:
+ assert(0);
+ }
+}
+
+
+
+template<int D>
+void gdata<D>
+::interpolate_from_nocomm (const vector<const gdata*> srcs,
+ const vector<CCTK_REAL> times,
+ const ibbox& box, const CCTK_REAL time,
+ const int order_space,
+ const int order_time)
+{
+ assert (has_storage());
+ assert (all(box.lower()>=extent().lower()));
+ assert (all(box.upper()<=extent().upper()));
+ assert (all(box.stride()==extent().stride()));
+ assert (all((box.lower()-extent().lower())%box.stride() == 0));
+ assert (srcs.size() == times.size() && srcs.size()>0);
+ for (int t=0; t<(int)srcs.size(); ++t) {
+ assert (srcs.at(t)->has_storage());
+ assert (all(box.lower()>=srcs.at(t)->extent().lower()));
+ assert (all(box.upper()<=srcs.at(t)->extent().upper()));
+ }
+
+ assert (! box.empty());
+ if (box.empty()) return;
+
+ assert (proc() == srcs.at(0)->proc());
+
+ assert (transport_operator != op_error);
+ assert (transport_operator != op_none);
+
+ // interpolate on same processor
+ int rank;
+ MPI_Comm_rank (dist::comm, &rank);
+ if (rank == proc()) {
+ interpolate_from_innerloop
+ (srcs, times, box, time, order_space, order_time);
+ }
+}
+
+
+
+template<int D>
+void gdata<D>
+::interpolate_from_recv (comm_state<D>& state,
+ const vector<const gdata*> srcs,
+ const vector<CCTK_REAL> times,
+ const ibbox& box, const CCTK_REAL time,
+ const int order_space,
+ const int order_time)
+{
+ assert (has_storage());
+ assert (all(box.lower()>=extent().lower()));
+ assert (all(box.upper()<=extent().upper()));
+ assert (all(box.stride()==extent().stride()));
+ assert (all((box.lower()-extent().lower())%box.stride() == 0));
+ assert (srcs.size() == times.size() && srcs.size()>0);
+ for (int t=0; t<(int)srcs.size(); ++t) {
+ assert (srcs.at(t)->has_storage());
+ assert (all(box.lower()>=srcs.at(t)->extent().lower()));
+ assert (all(box.upper()<=srcs.at(t)->extent().upper()));
+ }
+
+ assert (! box.empty());
+ if (box.empty()) return;
+
+ if (proc() == srcs.at(0)->proc()) {
+ // interpolate on same processor
+
+ } else {
+ // interpolate from other processor
+
+ gdata<D>* const tmp = make_typed(varindex, transport_operator);
+ // TODO: is this efficient?
+ state.tmps.push_back (tmp);
+ ++state.current;
+ tmp->allocate (box, srcs.at(0)->proc());
+ tmp->change_processor_recv (proc());
+
+ }
+}
+
+
+
+template<int D>
+void gdata<D>
+::interpolate_from_send (comm_state<D>& state,
+ const vector<const gdata*> srcs,
+ const vector<CCTK_REAL> times,
+ const ibbox& box, const CCTK_REAL time,
+ const int order_space,
+ const int order_time)
+{
+ assert (has_storage());
+ assert (all(box.lower()>=extent().lower()));
+ assert (all(box.upper()<=extent().upper()));
+ assert (all(box.stride()==extent().stride()));
+ assert (all((box.lower()-extent().lower())%box.stride() == 0));
+ assert (srcs.size() == times.size() && srcs.size()>0);
+ for (int t=0; t<(int)srcs.size(); ++t) {
+ assert (srcs.at(t)->has_storage());
+ assert (all(box.lower()>=srcs.at(t)->extent().lower()));
+ assert (all(box.upper()<=srcs.at(t)->extent().upper()));
+ }
+
+ assert (! box.empty());
+ if (box.empty()) return;
+
+ if (proc() == srcs.at(0)->proc()) {
+ // interpolate on same processor
+
+ interpolate_from_nocomm (srcs, times, box, time, order_space, order_time);
+
+ } else {
+ // interpolate from other processor
+
+ gdata<D>* const tmp = state.tmps.at(state.current++);
+ assert (tmp);
+ tmp->interpolate_from_nocomm (srcs, times, box, time, order_space, order_time);
+ tmp->change_processor_send (proc());
+
+ }
+}
+
+
+
+template<int D>
+void gdata<D>
+::interpolate_from_wait (comm_state<D>& state,
+ const vector<const gdata*> srcs,
+ const vector<CCTK_REAL> times,
+ const ibbox& box, const CCTK_REAL time,
+ const int order_space,
+ const int order_time)
+{
+ assert (has_storage());
+ assert (all(box.lower()>=extent().lower()));
+ assert (all(box.upper()<=extent().upper()));
+ assert (all(box.stride()==extent().stride()));
+ assert (all((box.lower()-extent().lower())%box.stride() == 0));
+ assert (srcs.size() == times.size() && srcs.size()>0);
+ for (int t=0; t<(int)srcs.size(); ++t) {
+ assert (srcs.at(t)->has_storage());
+ assert (all(box.lower()>=srcs.at(t)->extent().lower()));
+ assert (all(box.upper()<=srcs.at(t)->extent().upper()));
+ }
+
+ assert (! box.empty());
+ if (box.empty()) return;
+
+ if (proc() == srcs.at(0)->proc()) {
+ // interpolate on same processor
+
+ } else {
+ // interpolate from other processor
+
+ gdata<D>* const tmp = state.tmps.at(state.current++);
+ assert (tmp);
+ tmp->change_processor_wait (proc());
+ copy_from_nocomm (tmp, box);
+ delete tmp;
+
+ }
+}
+
+
+
+template class comm_state<3>;
+template class gdata<3>;
diff --git a/Carpet/CarpetLib/src/gdata.hh b/Carpet/CarpetLib/src/gdata.hh
new file mode 100644
index 000000000..9355238dd
--- /dev/null
+++ b/Carpet/CarpetLib/src/gdata.hh
@@ -0,0 +1,219 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/gdata.hh,v 1.24 2004/04/19 07:56:35 schnetter Exp $
+
+#ifndef GDATA_HH
+#define GDATA_HH
+
+#include <assert.h>
+#include <stdlib.h>
+
+#include <iostream>
+#include <string>
+#include <vector>
+
+#include "cctk.h"
+
+#include "defs.hh"
+#include "dist.hh"
+#include "bbox.hh"
+#include "operators.hh"
+#include "vect.hh"
+
+using namespace std;
+
+
+
+
+template<int D>
+class gdata;
+
+
+
+// State information for communications
+enum astate { state_recv, state_send, state_wait, state_done };
+
+template<int D>
+struct comm_state {
+ astate thestate;
+ comm_state ();
+ void step ();
+ bool done ();
+ ~comm_state ();
+
+ vector<gdata<D>*> tmps;
+ size_t current;
+};
+
+
+
+// A generic data storage without type information
+template<int D>
+class gdata {
+
+ // Types
+ typedef vect<int,D> ivect;
+ typedef bbox<int,D> ibbox;
+
+protected: // should be readonly
+
+ // Fields
+ int varindex; // Cactus variable index, or -1
+ operator_type transport_operator;
+
+ double wtime_isend, wtime_isendwait;
+ double wtime_irecv, wtime_irecvwait;
+
+ bool _has_storage; // has storage associated (on some processor)
+ bool _owns_storage; // owns the storage
+ // (only valid if there is storage on this processor; it means that
+ // the memory is allocated and freed by this class)
+ int _size; // size
+
+ int _proc; // stored on processor
+
+ ivect _shape, _stride; // shape and index order
+
+ ibbox _extent; // bbox for all data
+
+ bool comm_active;
+ MPI_Request request;
+
+ int tag; // MPI tag for this object
+
+public:
+
+ // Constructors
+ gdata (const int varindex,
+ const operator_type transport_operator = op_error);
+
+ // Destructors
+ virtual ~gdata ();
+
+ // Pseudo constructors
+ virtual gdata<D>*
+ make_typed (const int varindex,
+ const operator_type transport_operator = op_error) const = 0;
+
+ // Processor management
+ virtual void change_processor (comm_state<D>& state,
+ const int newproc, void* const mem=0) = 0;
+ protected:
+ virtual void change_processor_recv (const int newproc, void* const mem=0) = 0;
+ virtual void change_processor_send (const int newproc, void* const mem=0) = 0;
+ virtual void change_processor_wait (const int newproc, void* const mem=0) = 0;
+ public:
+
+ // Storage management
+ virtual void transfer_from (gdata<D>* src) = 0;
+
+ virtual void allocate (const ibbox& extent, const int proc,
+ void* const mem=0) = 0;
+ virtual void free () = 0;
+
+ // Accessors
+
+ bool has_storage () const {
+ return _has_storage;
+ }
+ bool owns_storage () const {
+ assert (_has_storage);
+ return _owns_storage;
+ }
+
+ virtual const void* storage () const = 0;
+
+ virtual void* storage () = 0;
+
+ int size () const {
+ assert (_has_storage);
+ return _size;
+ }
+
+ int proc () const {
+ assert (_has_storage);
+ return _proc;
+ }
+
+ const ivect& shape () const {
+ assert (_has_storage);
+ return _shape;
+ }
+
+ const ivect& stride () const {
+ assert (_has_storage);
+ return _stride;
+ }
+
+ const ibbox& extent () const {
+ assert (_has_storage);
+ return _extent;
+ }
+
+ // Data accessors
+ int offset (const ivect& index) const {
+ assert (_has_storage);
+ assert (all((index-extent().lower()) % extent().stride() == 0));
+ ivect ind = (index-extent().lower()) / extent().stride();
+ assert (all(ind>=0 && ind<=shape()));
+ return dot(ind, stride());
+ }
+
+ // Data manipulators
+ public:
+ void copy_from (comm_state<D>& state,
+ const gdata* src, const ibbox& box);
+ private:
+ void copy_from_nocomm (const gdata* src, const ibbox& box);
+ void copy_from_recv (comm_state<D>& state,
+ const gdata* src, const ibbox& box);
+ void copy_from_send (comm_state<D>& state,
+ const gdata* src, const ibbox& box);
+ void copy_from_wait (comm_state<D>& state,
+ const gdata* src, const ibbox& box);
+ public:
+ void interpolate_from (comm_state<D>& state,
+ const vector<const gdata*> srcs,
+ const vector<CCTK_REAL> times,
+ const ibbox& box, const CCTK_REAL time,
+ const int order_space,
+ const int order_time);
+ private:
+ void interpolate_from_nocomm (const vector<const gdata*> srcs,
+ const vector<CCTK_REAL> times,
+ const ibbox& box, const CCTK_REAL time,
+ const int order_space,
+ const int order_time);
+ void interpolate_from_recv (comm_state<D>& state,
+ const vector<const gdata*> srcs,
+ const vector<CCTK_REAL> times,
+ const ibbox& box, const CCTK_REAL time,
+ const int order_space,
+ const int order_time);
+ void interpolate_from_send (comm_state<D>& state,
+ const vector<const gdata*> srcs,
+ const vector<CCTK_REAL> times,
+ const ibbox& box, const CCTK_REAL time,
+ const int order_space,
+ const int order_time);
+ void interpolate_from_wait (comm_state<D>& state,
+ const vector<const gdata*> srcs,
+ const vector<CCTK_REAL> times,
+ const ibbox& box, const CCTK_REAL time,
+ const int order_space,
+ const int order_time);
+ public:
+
+protected:
+ virtual void
+ copy_from_innerloop (const gdata* src, const ibbox& box) = 0;
+ virtual void
+ interpolate_from_innerloop (const vector<const gdata*> srcs,
+ const vector<CCTK_REAL> times,
+ const ibbox& box, const CCTK_REAL time,
+ const int order_space,
+ const int order_time) = 0;
+
+};
+
+
+
+#endif // GDATA_HH
diff --git a/Carpet/CarpetLib/src/gf.cc b/Carpet/CarpetLib/src/gf.cc
new file mode 100644
index 000000000..69537d537
--- /dev/null
+++ b/Carpet/CarpetLib/src/gf.cc
@@ -0,0 +1,91 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/gf.cc,v 1.21 2004/08/07 19:47:11 schnetter Exp $
+
+#include <assert.h>
+
+#include "cctk.h"
+
+#include "defs.hh"
+
+#include "gf.hh"
+
+using namespace std;
+
+
+
+// Constructors
+template<class T,int D>
+gf<T,D>::gf (const int varindex, const operator_type transport_operator,
+ th<D>& t, dh<D>& d,
+ const int tmin, const int tmax, const int prolongation_order_time,
+ const int vectorlength, const int vectorindex,
+ gf* const vectorleader)
+ : ggf<D>(varindex, transport_operator,
+ t, d, tmin, tmax, prolongation_order_time,
+ vectorlength, vectorindex, vectorleader)
+{
+ // this->recompose ();
+ this->recompose_crop ();
+ for (int rl=0; rl<this->h.reflevels(); ++rl) {
+ this->recompose_allocate (rl);
+#if 0
+ for (comm_state<D> state; !state.done(); state.step()) {
+ this->recompose_fill (state, rl, false);
+ }
+#endif
+ this->recompose_free (rl);
+#if 0
+ for (comm_state<D> state; !state.done(); state.step()) {
+ this->recompose_bnd_prolongate (state, rl, false);
+ }
+ for (comm_state<D> state; !state.done(); state.step()) {
+ this->recompose_sync (state, rl, false);
+ }
+#endif
+ } // for rl
+}
+
+// Destructors
+template<class T,int D>
+gf<T,D>::~gf () { }
+
+
+
+// Access to the data
+template<class T,int D>
+const data<T,D>* gf<T,D>::operator() (int tl, int rl, int c, int ml) const {
+ assert (tl>=this->tmin && tl<=this->tmax);
+ assert (rl>=0 && rl<this->h.reflevels());
+ assert (c>=0 && c<this->h.components(rl));
+ assert (ml>=0 && ml<this->h.mglevels(rl,c));
+ return (const data<T,D>*)this->storage.at(tl-this->tmin).at(rl).at(c).at(ml);
+}
+
+template<class T,int D>
+data<T,D>* gf<T,D>::operator() (int tl, int rl, int c, int ml) {
+ assert (tl>=this->tmin && tl<=this->tmax);
+ assert (rl>=0 && rl<this->h.reflevels());
+ assert (c>=0 && c<this->h.components(rl));
+ assert (ml>=0 && ml<this->h.mglevels(rl,c));
+ return (data<T,D>*)this->storage.at(tl-this->tmin).at(rl).at(c).at(ml);
+}
+
+
+
+// Output
+template<class T,int D>
+ostream& gf<T,D>::output (ostream& os) const {
+ T Tdummy;
+ os << "gf<" << typestring(Tdummy) << "," << D << ">:"
+ << this->varindex << "[" << CCTK_VarName(this->varindex) << "],"
+ << "dt=[" << this->tmin << ":" << this->tmax<< "]";
+ return os;
+}
+
+
+
+#define INSTANTIATE(T) \
+template class gf<T,3>;
+
+#include "instantiate"
+
+#undef INSTANTIATE
diff --git a/Carpet/CarpetLib/src/gf.hh b/Carpet/CarpetLib/src/gf.hh
new file mode 100644
index 000000000..13fc8107e
--- /dev/null
+++ b/Carpet/CarpetLib/src/gf.hh
@@ -0,0 +1,87 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/gf.hh,v 1.12 2004/03/23 12:40:27 schnetter Exp $
+
+#ifndef GF_HH
+#define GF_HH
+
+#include <assert.h>
+#include <math.h>
+
+#include <iostream>
+#include <string>
+
+#include "bbox.hh"
+#include "bboxset.hh"
+#include "data.hh"
+#include "defs.hh"
+#include "dh.hh"
+#include "ggf.hh"
+#include "th.hh"
+#include "vect.hh"
+
+using namespace std;
+
+
+
+// A real grid function
+template<class T,int D>
+class gf: public ggf<D> {
+
+ // Types
+ typedef vect<int,D> ivect;
+ typedef bbox<int,D> ibbox;
+ typedef bboxset<int,D> ibset;
+ typedef list<ibbox> iblist;
+ typedef vector<iblist> iblistvect;
+
+ typedef data<T,D>* tdata; // data ...
+ typedef vector<tdata> mdata; // ... for each multigrid level
+ typedef vector<mdata> cdata; // ... for each component
+ typedef vector<cdata> rdata; // ... for each refinement level
+ typedef vector<rdata> fdata; // ... for each time level
+
+public:
+
+ // Constructors
+ gf (const int varindex, const operator_type transport_operator,
+ th<D>& t, dh<D>& d,
+ const int tmin, const int tmax, const int prolongation_order_time,
+ const int vectorlength, const int vectorindex,
+ gf* const vectorleader);
+
+ // Destructors
+ virtual ~gf ();
+
+
+
+ // Helpers
+
+protected:
+
+ virtual gdata<D>* typed_data (int tl, int rl, int c, int ml)
+ {
+ return new data<T,D>(this->varindex, this->transport_operator,
+ this->vectorlength, this->vectorindex,
+ this->vectorleader
+ ? (data<T,D>*)(*this->vectorleader)(tl,rl,c,ml)
+ : NULL);
+ }
+
+
+
+ // Access to the data
+
+public:
+
+ virtual const data<T,D>* operator() (int tl, int rl, int c, int ml) const;
+
+ virtual data<T,D>* operator() (int tl, int rl, int c, int ml);
+
+
+
+ // Output
+ virtual ostream& output (ostream& os) const;
+};
+
+
+
+#endif // GF_HH
diff --git a/Carpet/CarpetLib/src/ggf.cc b/Carpet/CarpetLib/src/ggf.cc
new file mode 100644
index 000000000..c26b22dbc
--- /dev/null
+++ b/Carpet/CarpetLib/src/ggf.cc
@@ -0,0 +1,608 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/ggf.cc,v 1.46 2004/09/17 16:37:26 schnetter Exp $
+
+#include <assert.h>
+#include <math.h>
+#include <stdlib.h>
+
+#include <iostream>
+#include <string>
+
+#include "cctk.h"
+
+#include "defs.hh"
+#include "dh.hh"
+#include "th.hh"
+
+#include "ggf.hh"
+
+using namespace std;
+
+
+
+// Constructors
+template<int D>
+ggf<D>::ggf (const int varindex, const operator_type transport_operator,
+ th<D>& t, dh<D>& d,
+ const int tmin, const int tmax,
+ const int prolongation_order_time,
+ const int vectorlength, const int vectorindex,
+ ggf* const vectorleader)
+ : varindex(varindex), transport_operator(transport_operator), t(t),
+ tmin(tmin), tmax(tmax),
+ prolongation_order_time(prolongation_order_time),
+ h(d.h), d(d),
+ storage(tmax-tmin+1),
+ vectorlength(vectorlength), vectorindex(vectorindex),
+ vectorleader(vectorleader)
+{
+ assert (&t.h == &d.h);
+
+ assert (vectorlength >= 1);
+ assert (vectorindex >= 0 && vectorindex < vectorlength);
+ assert ((vectorindex==0 && !vectorleader)
+ || (vectorindex!=0 && vectorleader));
+
+ d.add(this);
+}
+
+// Destructors
+template<int D>
+ggf<D>::~ggf () {
+ d.remove(this);
+}
+
+// Comparison
+template<int D>
+bool ggf<D>::operator== (const ggf<D>& f) const {
+ return this == &f;
+}
+
+
+
+// Modifiers
+template<int D>
+void ggf<D>::recompose_crop ()
+{
+ // Free storage that will not be needed
+ storage.resize(tmax-tmin+1);
+ for (int tl=tmin; tl<=tmax; ++tl) {
+ for (int rl=h.reflevels(); rl<(int)storage.at(tl-tmin).size(); ++rl) {
+ for (int c=0; c<(int)storage.at(tl-tmin).at(rl).size(); ++c) {
+ for (int ml=0; ml<(int)storage.at(tl-tmin).at(rl).at(c).size(); ++ml) {
+ delete storage.at(tl-tmin).at(rl).at(c).at(ml);
+ } // for ml
+ } // for c
+ } // for rl
+ storage.at(tl-tmin).resize(h.reflevels());
+ } // for tl
+}
+
+template<int D>
+void ggf<D>::recompose_allocate (const int rl)
+{
+ // TODO: restructure storage only when needed
+
+ // Retain storage that might be needed
+ oldstorage.resize(tmax-tmin+1);
+ for (int tl=tmin; tl<=tmax; ++tl) {
+ oldstorage.at(tl-tmin).resize(h.reflevels());
+ assert (oldstorage.at(tl-tmin).at(rl).size() == 0);
+ oldstorage.at(tl-tmin).at(rl) = storage.at(tl-tmin).at(rl);
+ storage.at(tl-tmin).at(rl).resize(0);
+ }
+
+ // Resize structure and allocate storage
+ storage.resize(tmax-tmin+1);
+ for (int tl=tmin; tl<=tmax; ++tl) {
+ storage.at(tl-tmin).resize(h.reflevels());
+ storage.at(tl-tmin).at(rl).resize(h.components(rl));
+ for (int c=0; c<h.components(rl); ++c) {
+ storage.at(tl-tmin).at(rl).at(c).resize(h.mglevels(rl,c));
+ for (int ml=0; ml<h.mglevels(rl,c); ++ml) {
+ storage.at(tl-tmin).at(rl).at(c).at(ml) = typed_data(tl,rl,c,ml);
+ storage.at(tl-tmin).at(rl).at(c).at(ml)->allocate
+ (d.boxes.at(rl).at(c).at(ml).exterior, h.proc(rl,c));
+ } // for ml
+ } // for c
+ } // for tl
+}
+
+template<int D>
+void ggf<D>::recompose_fill (comm_state<D>& state, const int rl,
+ const bool do_prolongate)
+{
+ // Initialise the new storage
+ for (int c=0; c<h.components(rl); ++c) {
+ for (int ml=0; ml<h.mglevels(rl,c); ++ml) {
+ for (int tl=tmin; tl<=tmax; ++tl) {
+
+ // Find out which regions need to be prolongated
+ // (Copy the exterior because some variables are not prolongated)
+ // TODO: do this once in the dh instead of for each variable here
+ ibset work (d.boxes.at(rl).at(c).at(ml).exterior);
+
+ // Copy from old storage, if possible
+ // TODO: copy only from interior regions?
+ if (rl<(int)oldstorage.at(tl-tmin).size()) {
+ for (int cc=0; cc<(int)oldstorage.at(tl-tmin).at(rl).size(); ++cc) {
+ if (ml<(int)oldstorage.at(tl-tmin).at(rl).at(cc).size()) {
+ // TODO: prefer same processor, etc., see dh.cc
+ ibset ovlp
+ = work & oldstorage.at(tl-tmin).at(rl).at(cc).at(ml)->extent();
+ ovlp.normalize();
+ work -= ovlp;
+ for (typename ibset::const_iterator r=ovlp.begin(); r!=ovlp.end(); ++r) {
+ storage.at(tl-tmin).at(rl).at(c).at(ml)->copy_from
+ (state, oldstorage.at(tl-tmin).at(rl).at(cc).at(ml), *r);
+ }
+ } // if ml
+ } // for cc
+ } // if rl
+
+ if (do_prolongate) {
+ // Initialise from coarser level, if possible
+ if (rl>0) {
+ if (transport_operator != op_none) {
+ const int numtl = prolongation_order_time+1;
+ assert (tmax-tmin+1 >= numtl);
+ vector<int> tls(numtl);
+ vector<CCTK_REAL> times(numtl);
+ for (int i=0; i<numtl; ++i) {
+ tls.at(i) = tmax - i;
+ times.at(i) = t.time(tls.at(i),rl-1,ml);
+ }
+ for (int cc=0; cc<(int)storage.at(tl-tmin).at(rl-1).size(); ++cc) {
+ vector<const gdata<D>*> gsrcs(numtl);
+ for (int i=0; i<numtl; ++i) {
+ gsrcs.at(i)
+ = storage.at(tls.at(i)-tmin).at(rl-1).at(cc).at(ml);
+ assert (gsrcs.at(i)->extent() == gsrcs.at(0)->extent());
+ }
+ const CCTK_REAL time = t.time(tl,rl,ml);
+
+ // TODO: choose larger regions first
+ // TODO: prefer regions from the same processor
+ const iblist& list
+ = d.boxes.at(rl).at(c).at(ml).recv_ref_coarse.at(cc);
+ for (typename iblist::const_iterator iter=list.begin(); iter!=list.end(); ++iter) {
+ ibset ovlp = work & *iter;
+ ovlp.normalize();
+ work -= ovlp;
+ for (typename ibset::const_iterator r=ovlp.begin(); r!=ovlp.end(); ++r) {
+ storage.at(tl-tmin).at(rl).at(c).at(ml)->interpolate_from
+ (state, gsrcs, times, *r, time,
+ d.prolongation_order_space, prolongation_order_time);
+ } // for r
+ } // for iter
+ } // for cc
+ } // if transport_operator
+ } // if rl
+ } // if do_prolongate
+
+ // Note that work need not be empty here; in this case, not
+ // everything could be initialised. This is okay on outer
+ // boundaries.
+ // TODO: check this.
+
+ } // for tl
+ } // for ml
+ } // for c
+}
+
+template<int D>
+void ggf<D>::recompose_free (const int rl)
+{
+ // Delete old storage
+ for (int tl=tmin; tl<=tmax; ++tl) {
+ for (int c=0; c<(int)oldstorage.at(tl-tmin).at(rl).size(); ++c) {
+ for (int ml=0; ml<(int)oldstorage.at(tl-tmin).at(rl).at(c).size(); ++ml) {
+ delete oldstorage.at(tl-tmin).at(rl).at(c).at(ml);
+ } // for ml
+ } // for c
+ oldstorage.at(tl-tmin).at(rl).resize(0);
+ } // for tl
+}
+
+template<int D>
+void ggf<D>::recompose_bnd_prolongate (comm_state<D>& state, const int rl,
+ const bool do_prolongate)
+{
+ if (do_prolongate) {
+ // Set boundaries
+ if (rl>0) {
+ for (int c=0; c<h.components(rl); ++c) {
+ for (int ml=0; ml<h.mglevels(rl,c); ++ml) {
+ for (int tl=tmin; tl<=tmax; ++tl) {
+
+ // TODO: assert that reflevel 0 boundaries are copied
+ const CCTK_REAL time = t.time(tl,rl,ml);
+ ref_bnd_prolongate (state,tl,rl,c,ml,time);
+
+ } // for tl
+ } // for ml
+ } // for c
+ } // if rl
+ } // if do_prolongate
+}
+
+template<int D>
+void ggf<D>::recompose_sync (comm_state<D>& state, const int rl,
+ const bool do_prolongate)
+{
+ if (do_prolongate) {
+ // Set boundaries
+ for (int c=0; c<h.components(rl); ++c) {
+ for (int ml=0; ml<h.mglevels(rl,c); ++ml) {
+ for (int tl=tmin; tl<=tmax; ++tl) {
+
+ sync (state,tl,rl,c,ml);
+
+ } // for tl
+ } // for ml
+ } // for c
+ } // if do_prolongate
+}
+
+
+
+// Cycle the time levels by rotating the data sets
+template<int D>
+void ggf<D>::cycle (int rl, int c, int ml) {
+ assert (rl>=0 && rl<h.reflevels());
+ assert (c>=0 && c<h.components(rl));
+ assert (ml>=0 && ml<h.mglevels(rl,c));
+ gdata<D>* tmpdata = storage.at(tmin-tmin).at(rl).at(c).at(ml);
+ for (int tl=tmin; tl<=tmax-1; ++tl) {
+ storage.at(tl-tmin).at(rl).at(c).at(ml) = storage.at(tl+1-tmin).at(rl).at(c).at(ml);
+ }
+ storage.at(tmax-tmin).at(rl).at(c).at(ml) = tmpdata;
+}
+
+// Flip the time levels by exchanging the data sets
+template<int D>
+void ggf<D>::flip (int rl, int c, int ml) {
+ assert (rl>=0 && rl<h.reflevels());
+ assert (c>=0 && c<h.components(rl));
+ assert (ml>=0 && ml<h.mglevels(rl,c));
+ for (int t=0; t<(tmax-tmin)/2; ++t) {
+ const int tl1 = tmin + t;
+ const int tl2 = tmax - t;
+ assert (tl1 < tl2);
+ gdata<D>* tmpdata = storage.at(tl1-tmin).at(rl).at(c).at(ml);
+ storage.at(tl1-tmin).at(rl).at(c).at(ml) = storage.at(tl2-tmin).at(rl).at(c).at(ml);
+ storage.at(tl2-tmin).at(rl).at(c).at(ml) = tmpdata;
+ }
+}
+
+
+
+// Operations
+
+// Copy a region
+template<int D>
+void ggf<D>::copycat (comm_state<D>& state,
+ int tl1, int rl1, int c1, int ml1,
+ const ibbox dh<D>::dboxes::* recv_box,
+ int tl2, int rl2, int ml2,
+ const ibbox dh<D>::dboxes::* send_box)
+{
+ assert (tl1>=tmin && tl1<=tmax);
+ assert (rl1>=0 && rl1<h.reflevels());
+ assert (c1>=0 && c1<h.components(rl1));
+ assert (ml1>=0 && ml1<h.mglevels(rl1,c1));
+ assert (tl2>=tmin && tl2<=tmax);
+ assert (rl2>=0 && rl2<h.reflevels());
+ const int c2=c1;
+ assert (ml2<h.mglevels(rl2,c2));
+ const ibbox recv = d.boxes.at(rl1).at(c1).at(ml1).*recv_box;
+ const ibbox send = d.boxes.at(rl2).at(c2).at(ml2).*send_box;
+ assert (all(recv.shape()==send.shape()));
+ // copy the content
+ assert (recv==send);
+ storage.at(tl1-tmin).at(rl1).at(c1).at(ml1)->copy_from
+ (state, storage.at(tl2-tmin).at(rl2).at(c2).at(ml2), recv);
+}
+
+// Copy regions
+template<int D>
+void ggf<D>::copycat (comm_state<D>& state,
+ int tl1, int rl1, int c1, int ml1,
+ const iblist dh<D>::dboxes::* recv_list,
+ int tl2, int rl2, int ml2,
+ const iblist dh<D>::dboxes::* send_list)
+{
+ assert (tl1>=tmin && tl1<=tmax);
+ assert (rl1>=0 && rl1<h.reflevels());
+ assert (c1>=0 && c1<h.components(rl1));
+ assert (ml1>=0 && ml1<h.mglevels(rl1,c1));
+ assert (tl2>=tmin && tl2<=tmax);
+ assert (rl2>=0 && rl2<h.reflevels());
+ const int c2=c1;
+ assert (ml2<h.mglevels(rl2,c2));
+ const iblist recv = d.boxes.at(rl1).at(c1).at(ml1).*recv_list;
+ const iblist send = d.boxes.at(rl2).at(c2).at(ml2).*send_list;
+ assert (recv.size()==send.size());
+ // walk all boxes
+ for (typename iblist::const_iterator r=recv.begin(), s=send.begin();
+ r!=recv.end(); ++r, ++s) {
+ // (use the send boxes for communication)
+ // copy the content
+ storage.at(tl1-tmin).at(rl1).at(c1).at(ml1)->copy_from
+ (state, storage.at(tl2-tmin).at(rl2).at(c2).at(ml2), *r);
+ }
+}
+
+// Copy regions
+template<int D>
+void ggf<D>::copycat (comm_state<D>& state,
+ int tl1, int rl1, int c1, int ml1,
+ const iblistvect dh<D>::dboxes::* recv_listvect,
+ int tl2, int rl2, int ml2,
+ const iblistvect dh<D>::dboxes::* send_listvect)
+{
+ assert (tl1>=tmin && tl1<=tmax);
+ assert (rl1>=0 && rl1<h.reflevels());
+ assert (c1>=0 && c1<h.components(rl1));
+ assert (ml1>=0 && ml1<h.mglevels(rl1,c1));
+ assert (tl2>=tmin && tl2<=tmax);
+ assert (rl2>=0 && rl2<h.reflevels());
+ // walk all components
+ for (int c2=0; c2<h.components(rl2); ++c2) {
+ assert (ml2<h.mglevels(rl2,c2));
+ const iblist recv = (d.boxes.at(rl1).at(c1).at(ml1).*recv_listvect).at(c2);
+ const iblist send = (d.boxes.at(rl2).at(c2).at(ml2).*send_listvect).at(c1);
+ assert (recv.size()==send.size());
+ // walk all boxes
+ for (typename iblist::const_iterator r=recv.begin(), s=send.begin();
+ r!=recv.end(); ++r, ++s) {
+ // (use the send boxes for communication)
+ // copy the content
+ storage.at(tl1-tmin).at(rl1).at(c1).at(ml1)->copy_from
+ (state, storage.at(tl2-tmin).at(rl2).at(c2).at(ml2), *r);
+ }
+ }
+}
+
+// Interpolate a region
+template<int D>
+void ggf<D>::intercat (comm_state<D>& state,
+ int tl1, int rl1, int c1, int ml1,
+ const ibbox dh<D>::dboxes::* recv_list,
+ const vector<int> tl2s, int rl2, int ml2,
+ const ibbox dh<D>::dboxes::* send_list,
+ CCTK_REAL time)
+{
+ assert (tl1>=tmin && tl1<=tmax);
+ assert (rl1>=0 && rl1<h.reflevels());
+ assert (c1>=0 && c1<h.components(rl1));
+ assert (ml1>=0 && ml1<h.mglevels(rl1,c1));
+ for (int i=0; i<(int)tl2s.size(); ++i) {
+ assert (tl2s.at(i)>=tmin && tl2s.at(i)<=tmax);
+ }
+ assert (rl2>=0 && rl2<h.reflevels());
+ const int c2=c1;
+ assert (ml2>=0 && ml2<h.mglevels(rl2,c2));
+
+ vector<const gdata<D>*> gsrcs(tl2s.size());
+ vector<CCTK_REAL> times(tl2s.size());
+ for (int i=0; i<(int)gsrcs.size(); ++i) {
+ assert (rl2<(int)storage.at(tl2s.at(i)-tmin).size());
+ assert (c2<(int)storage.at(tl2s.at(i)-tmin).at(rl2).size());
+ assert (ml2<(int)storage.at(tl2s.at(i)-tmin).at(rl2).at(c2).size());
+ gsrcs.at(i) = storage.at(tl2s.at(i)-tmin).at(rl2).at(c2).at(ml2);
+ times.at(i) = t.time(tl2s.at(i),rl2,ml2);
+ }
+
+ const ibbox recv = d.boxes.at(rl1).at(c1).at(ml1).*recv_list;
+ const ibbox send = d.boxes.at(rl2).at(c2).at(ml2).*send_list;
+ assert (all(recv.shape()==send.shape()));
+ // interpolate the content
+ assert (recv==send);
+ storage.at(tl1-tmin).at(rl1).at(c1).at(ml1)->interpolate_from
+ (state, gsrcs, times, recv, time,
+ d.prolongation_order_space, prolongation_order_time);
+}
+
+// Interpolate regions
+template<int D>
+void ggf<D>::intercat (comm_state<D>& state,
+ int tl1, int rl1, int c1, int ml1,
+ const iblist dh<D>::dboxes::* recv_list,
+ const vector<int> tl2s, int rl2, int ml2,
+ const iblist dh<D>::dboxes::* send_list,
+ const CCTK_REAL time)
+{
+ assert (tl1>=tmin && tl1<=tmax);
+ assert (rl1>=0 && rl1<h.reflevels());
+ assert (c1>=0 && c1<h.components(rl1));
+ assert (ml1>=0 && ml1<h.mglevels(rl1,c1));
+ for (int i=0; i<(int)tl2s.size(); ++i) {
+ assert (tl2s.at(i)>=tmin && tl2s.at(i)<=tmax);
+ }
+ assert (rl2>=0 && rl2<h.reflevels());
+ const int c2=c1;
+ assert (ml2>=0 && ml2<h.mglevels(rl2,c2));
+
+ vector<const gdata<D>*> gsrcs(tl2s.size());
+ vector<CCTK_REAL> times(tl2s.size());
+ for (int i=0; i<(int)gsrcs.size(); ++i) {
+ assert (rl2<(int)storage.at(tl2s.at(i)-tmin).size());
+ assert (c2<(int)storage.at(tl2s.at(i)-tmin).at(rl2).size());
+ assert (ml2<(int)storage.at(tl2s.at(i)-tmin).at(rl2).at(c2).size());
+ gsrcs.at(i) = storage.at(tl2s.at(i)-tmin).at(rl2).at(c2).at(ml2);
+ times.at(i) = t.time(tl2s.at(i),rl2,ml2);
+ }
+
+ const iblist recv = d.boxes.at(rl1).at(c1).at(ml1).*recv_list;
+ const iblist send = d.boxes.at(rl2).at(c2).at(ml2).*send_list;
+ assert (recv.size()==send.size());
+ // walk all boxes
+ for (typename iblist::const_iterator r=recv.begin(), s=send.begin();
+ r!=recv.end(); ++r, ++s) {
+ // (use the send boxes for communication)
+ // interpolate the content
+ storage.at(tl1-tmin).at(rl1).at(c1).at(ml1)->interpolate_from
+ (state, gsrcs, times, *r, time,
+ d.prolongation_order_space, prolongation_order_time);
+ }
+}
+
+// Interpolate regions
+template<int D>
+void ggf<D>::intercat (comm_state<D>& state,
+ int tl1, int rl1, int c1, int ml1,
+ const iblistvect dh<D>::dboxes::* recv_listvect,
+ const vector<int> tl2s, int rl2, int ml2,
+ const iblistvect dh<D>::dboxes::* send_listvect,
+ const CCTK_REAL time)
+{
+ assert (tl1>=tmin && tl1<=tmax);
+ assert (rl1>=0 && rl1<h.reflevels());
+ assert (c1>=0 && c1<h.components(rl1));
+ assert (ml1>=0 && ml1<h.mglevels(rl1,c1));
+ for (int i=0; i<(int)tl2s.size(); ++i) {
+ assert (tl2s.at(i)>=tmin && tl2s.at(i)<=tmax);
+ }
+ assert (rl2>=0 && rl2<h.reflevels());
+ // walk all components
+ for (int c2=0; c2<h.components(rl2); ++c2) {
+ assert (ml2>=0 && ml2<h.mglevels(rl2,c2));
+
+ vector<const gdata<D>*> gsrcs(tl2s.size());
+ vector<CCTK_REAL> times(tl2s.size());
+ for (int i=0; i<(int)gsrcs.size(); ++i) {
+ assert (rl2<(int)storage.at(tl2s.at(i)-tmin).size());
+ assert (c2<(int)storage.at(tl2s.at(i)-tmin).at(rl2).size());
+ assert (ml2<(int)storage.at(tl2s.at(i)-tmin).at(rl2).at(c2).size());
+ gsrcs.at(i) = storage.at(tl2s.at(i)-tmin).at(rl2).at(c2).at(ml2);
+ times.at(i) = t.time(tl2s.at(i),rl2,ml2);
+ }
+
+ const iblist recv = (d.boxes.at(rl1).at(c1).at(ml1).*recv_listvect).at(c2);
+ const iblist send = (d.boxes.at(rl2).at(c2).at(ml2).*send_listvect).at(c1);
+ assert (recv.size()==send.size());
+ // walk all boxes
+ for (typename iblist::const_iterator r=recv.begin(), s=send.begin();
+ r!=recv.end(); ++r, ++s) {
+ // (use the send boxes for communication)
+ // interpolate the content
+ storage.at(tl1-tmin).at(rl1).at(c1).at(ml1)->interpolate_from
+ (state, gsrcs, times, *r, time,
+ d.prolongation_order_space, prolongation_order_time);
+ }
+ }
+}
+
+
+
+// Copy a component from the next time level
+template<int D>
+void ggf<D>::copy (comm_state<D>& state, int tl, int rl, int c, int ml)
+{
+ // Copy
+ copycat (state,
+ tl ,rl,c,ml, &dh<D>::dboxes::exterior,
+ tl+1,rl, ml, &dh<D>::dboxes::exterior);
+}
+
+// Synchronise the boundaries a component
+template<int D>
+void ggf<D>::sync (comm_state<D>& state, int tl, int rl, int c, int ml)
+{
+ // Copy
+ copycat (state,
+ tl,rl,c,ml, &dh<D>::dboxes::recv_sync,
+ tl,rl, ml, &dh<D>::dboxes::send_sync);
+}
+
+// Prolongate the boundaries of a component
+template<int D>
+void ggf<D>::ref_bnd_prolongate (comm_state<D>& state,
+ int tl, int rl, int c, int ml,
+ CCTK_REAL time)
+{
+ // Interpolate
+ assert (rl>=1);
+ if (transport_operator == op_none) return;
+ vector<int> tl2s;
+ // Interpolation in time
+ assert (tmax-tmin+1 >= prolongation_order_time+1);
+ tl2s.resize(prolongation_order_time+1);
+ for (int i=0; i<=prolongation_order_time; ++i) tl2s.at(i) = tmax - i;
+ intercat (state,
+ tl ,rl ,c,ml, &dh<D>::dboxes::recv_ref_bnd_coarse,
+ tl2s,rl-1, ml, &dh<D>::dboxes::send_ref_bnd_fine,
+ time);
+}
+
+// Restrict a multigrid level
+template<int D>
+void ggf<D>::mg_restrict (comm_state<D>& state,
+ int tl, int rl, int c, int ml,
+ CCTK_REAL time)
+{
+ // Require same times
+ assert (abs(t.get_time(rl,ml) - t.get_time(rl,ml-1))
+ <= 1.0e-8 * abs(t.get_time(rl,ml)));
+ const vector<int> tl2s(1,tl);
+ intercat (state,
+ tl ,rl,c,ml, &dh<D>::dboxes::recv_mg_coarse,
+ tl2s,rl, ml-1, &dh<D>::dboxes::send_mg_fine,
+ time);
+}
+
+// Prolongate a multigrid level
+template<int D>
+void ggf<D>::mg_prolongate (comm_state<D>& state,
+ int tl, int rl, int c, int ml,
+ CCTK_REAL time)
+{
+ // Require same times
+ assert (abs(t.get_time(rl,ml) - t.get_time(rl,ml+1))
+ <= 1.0e-8 * abs(t.get_time(rl,ml)));
+ const vector<int> tl2s(1,tl);
+ intercat (state,
+ tl ,rl,c,ml, &dh<D>::dboxes::recv_mg_coarse,
+ tl2s,rl, ml+1, &dh<D>::dboxes::send_mg_fine,
+ time);
+}
+
+// Restrict a refinement level
+template<int D>
+void ggf<D>::ref_restrict (comm_state<D>& state,
+ int tl, int rl, int c, int ml,
+ CCTK_REAL time)
+{
+ // Require same times
+ assert (abs(t.get_time(rl,ml) - t.get_time(rl+1,ml))
+ <= 1.0e-8 * abs(t.get_time(rl,ml)));
+ if (transport_operator == op_none) return;
+ const vector<int> tl2s(1,tl);
+ intercat (state,
+ tl ,rl ,c,ml, &dh<D>::dboxes::recv_ref_fine,
+ tl2s,rl+1, ml, &dh<D>::dboxes::send_ref_coarse,
+ time);
+}
+
+// Prolongate a refinement level
+template<int D>
+void ggf<D>::ref_prolongate (comm_state<D>& state,
+ int tl, int rl, int c, int ml,
+ CCTK_REAL time)
+{
+ assert (rl>=1);
+ if (transport_operator == op_none) return;
+ vector<int> tl2s;
+ // Interpolation in time
+ assert (tmax-tmin+1 >= prolongation_order_time+1);
+ tl2s.resize(prolongation_order_time+1);
+ for (int i=0; i<=prolongation_order_time; ++i) tl2s.at(i) = tmax - i;
+ intercat (state,
+ tl ,rl ,c,ml, &dh<D>::dboxes::recv_ref_coarse,
+ tl2s,rl-1, ml, &dh<D>::dboxes::send_ref_fine,
+ time);
+}
+
+
+
+template class ggf<3>;
diff --git a/Carpet/CarpetLib/src/ggf.hh b/Carpet/CarpetLib/src/ggf.hh
new file mode 100644
index 000000000..b6a551cf3
--- /dev/null
+++ b/Carpet/CarpetLib/src/ggf.hh
@@ -0,0 +1,225 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/ggf.hh,v 1.25 2004/08/07 19:47:11 schnetter Exp $
+
+#ifndef GGF_HH
+#define GGF_HH
+
+#include <assert.h>
+
+#include <iostream>
+#include <string>
+#include <vector>
+
+#include "cctk.h"
+
+#include "defs.hh"
+#include "dh.hh"
+#include "gdata.hh"
+#include "gh.hh"
+#include "th.hh"
+
+using namespace std;
+
+
+
+// Forward declaration
+template<int D> class ggf;
+
+// Output
+template<int D>
+ostream& operator<< (ostream& os, const ggf<D>& f);
+
+
+
+// A generic grid function without type information
+template<int D>
+class ggf {
+
+ // Types
+
+ typedef vect<int,D> ivect;
+ typedef bbox<int,D> ibbox;
+ typedef bboxset<int,D> ibset;
+ typedef list<ibbox> iblist;
+ typedef vector<iblist> iblistvect;
+
+ typedef gdata<D>* tdata; // data ...
+ typedef vector<tdata> mdata; // ... for each multigrid level
+ typedef vector<mdata> cdata; // ... for each component
+ typedef vector<cdata> rdata; // ... for each refinement level
+ typedef vector<rdata> fdata; // ... for each time level
+
+public: // should be readonly
+
+ // Fields
+ int varindex; // Cactus variable index
+ operator_type transport_operator;
+
+ th<D> &t; // time hierarchy
+ int tmin, tmax; // timelevels
+ int prolongation_order_time; // order of temporal prolongation operator
+
+ gh<D> &h; // grid hierarchy
+ dh<D> &d; // data hierarchy
+
+protected:
+ fdata storage; // storage
+
+public:
+ int vectorlength; // vector length
+ int vectorindex; // index of *this
+ ggf* vectorleader; // first vector element
+
+private:
+ fdata oldstorage;
+
+public:
+
+ // Constructors
+ ggf (const int varindex, const operator_type transport_operator,
+ th<D>& t, dh<D>& d,
+ const int tmin, const int tmax,
+ const int prolongation_order_time,
+ const int vectorlength, const int vectorindex,
+ ggf* const vectorleader);
+
+ // Destructors
+ virtual ~ggf ();
+
+ // Comparison
+ bool operator== (const ggf<D>& f) const;
+
+
+
+ // Modifiers
+ // void recompose ();
+ void recompose_crop ();
+ void recompose_allocate (int rl);
+ void recompose_fill (comm_state<D>& state, int rl, bool do_prolongate);
+ void recompose_free (int rl);
+ void recompose_bnd_prolongate (comm_state<D>& state, int rl, bool do_prolongate);
+ void recompose_sync (comm_state<D>& state, int rl, bool do_prolongate);
+
+ // Cycle the time levels by rotating the data sets
+ void cycle (int rl, int c, int ml);
+
+ // Flip the time levels by exchanging the data sets
+ void flip (int rl, int c, int ml);
+
+
+
+ // Helpers
+
+protected:
+
+ virtual gdata<D>* typed_data (int tl, int rl, int c, int ml) = 0;
+
+
+
+ // Operations
+
+protected:
+
+ // Copy a region
+ void copycat (comm_state<D>& state,
+ int tl1, int rl1, int c1, int ml1,
+ const ibbox dh<D>::dboxes::* recv_list,
+ int tl2, int rl2, int ml2,
+ const ibbox dh<D>::dboxes::* send_list);
+
+ // Copy regions
+ void copycat (comm_state<D>& state,
+ int tl1, int rl1, int c1, int ml1,
+ const iblist dh<D>::dboxes::* recv_list,
+ int tl2, int rl2, int ml2,
+ const iblist dh<D>::dboxes::* send_list);
+
+ // Copy regions
+ void copycat (comm_state<D>& state,
+ int tl1, int rl1, int c1, int ml1,
+ const iblistvect dh<D>::dboxes::* recv_listvect,
+ int tl2, int rl2, int ml2,
+ const iblistvect dh<D>::dboxes::* send_listvect);
+
+ // Interpolate a region
+ void intercat (comm_state<D>& state,
+ int tl1, int rl1, int c1, int ml1,
+ const ibbox dh<D>::dboxes::* recv_list,
+ const vector<int> tl2s, int rl2, int ml2,
+ const ibbox dh<D>::dboxes::* send_list,
+ CCTK_REAL time);
+
+ // Interpolate regions
+ void intercat (comm_state<D>& state,
+ int tl1, int rl1, int c1, int ml1,
+ const iblist dh<D>::dboxes::* recv_list,
+ const vector<int> tl2s, int rl2, int ml2,
+ const iblist dh<D>::dboxes::* send_list,
+ CCTK_REAL time);
+
+ // Interpolate regions
+ void intercat (comm_state<D>& state,
+ int tl1, int rl1, int c1, int ml1,
+ const iblistvect dh<D>::dboxes::* recv_listvect,
+ const vector<int> tl2s, int rl2, int ml2,
+ const iblistvect dh<D>::dboxes::* send_listvect,
+ CCTK_REAL time);
+
+
+
+public:
+
+ // The grid boundaries have to be updated after calling mg_restrict,
+ // mg_prolongate, ref_restrict, or ref_prolongate.
+
+ // "Updating" means here that the boundaries have to be
+ // synchronised. They don't need to be prolongated.
+
+ // Copy a component from the next time level
+ void copy (comm_state<D>& state, int tl, int rl, int c, int ml);
+
+ // Synchronise the boundaries of a component
+ void sync (comm_state<D>& state, int tl, int rl, int c, int ml);
+
+ // Prolongate the boundaries of a component
+ void ref_bnd_prolongate (comm_state<D>& state,
+ int tl, int rl, int c, int ml, CCTK_REAL time);
+
+ // Restrict a multigrid level
+ void mg_restrict (comm_state<D>& state,
+ int tl, int rl, int c, int ml, CCTK_REAL time);
+
+ // Prolongate a multigrid level
+ void mg_prolongate (comm_state<D>& state,
+ int tl, int rl, int c, int ml, CCTK_REAL time);
+
+ // Restrict a refinement level
+ void ref_restrict (comm_state<D>& state,
+ int tl, int rl, int c, int ml, CCTK_REAL time);
+
+ // Prolongate a refinement level
+ void ref_prolongate (comm_state<D>& state,
+ int tl, int rl, int c, int ml, CCTK_REAL time);
+
+
+
+ // Access to the data
+ virtual const gdata<D>* operator() (int tl, int rl, int c, int ml) const = 0;
+
+ virtual gdata<D>* operator() (int tl, int rl, int c, int ml) = 0;
+
+
+
+ // Output
+ virtual ostream& output (ostream& os) const = 0;
+};
+
+
+
+template<int D>
+inline ostream& operator<< (ostream& os, const ggf<D>& f) {
+ return f.output(os);
+}
+
+
+
+#endif // GGF_HH
diff --git a/Carpet/CarpetLib/src/gh.cc b/Carpet/CarpetLib/src/gh.cc
new file mode 100644
index 000000000..32df39bf0
--- /dev/null
+++ b/Carpet/CarpetLib/src/gh.cc
@@ -0,0 +1,240 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/gh.cc,v 1.29 2004/08/07 19:47:11 schnetter Exp $
+
+#include <assert.h>
+#include <stdlib.h>
+#include <iostream>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "defs.hh"
+#include "dh.hh"
+#include "th.hh"
+
+#include "gh.hh"
+
+using namespace std;
+
+
+
+ // Constructors
+template<int D>
+gh<D>::gh (const int reffact, const centering refcent,
+ const int mgfact, const centering mgcent,
+ const ibbox baseextent)
+ : reffact(reffact), refcent(refcent),
+ mgfact(mgfact), mgcent(mgcent),
+ baseextent(baseextent)
+{
+}
+
+// Destructors
+template<int D>
+gh<D>::~gh () { }
+
+// Modifiers
+template<int D>
+void gh<D>::recompose (const rexts& exts,
+ const rbnds& outer_bounds,
+ const rprocs& procs,
+ const bool do_prolongate)
+{
+ DECLARE_CCTK_PARAMETERS;
+
+ extents = exts;
+ outer_boundaries = outer_bounds;
+ processors = procs;
+
+ // Consistency checks
+
+ // nota bene: there might be 0 refinement levels.
+
+ // Check processor number consistency
+ for (int rl=0; rl<reflevels(); ++rl) {
+ assert (processors.size() == extents.size());
+ assert (outer_boundaries.size() == extents.size());
+ for (int c=0; c<components(rl); ++c) {
+ assert (processors.at(rl).size() == extents.at(rl).size());
+ assert (outer_boundaries.at(rl).size() == extents.at(rl).size());
+ }
+ }
+
+ // Check multigrid consistency
+ for (int rl=0; rl<reflevels(); ++rl) {
+ for (int c=0; c<components(rl); ++c) {
+ assert (mglevels(rl,c)>0);
+ for (int ml=1; ml<mglevels(rl,c); ++ml) {
+ assert (all(extents.at(rl).at(c).at(ml).stride()
+ == ivect(mgfact) * extents.at(rl).at(c).at(ml-1).stride()));
+ // TODO: put the check back in, taking outer boundaries into
+ // account
+#if 0
+ assert (extents.at(rl).at(c).at(ml)
+ .contracted_for(extents.at(rl).at(c).at(ml-1))
+ .is_contained_in(extents.at(rl).at(c).at(ml-1)));
+#endif
+ }
+ }
+ }
+
+ // Check component consistency
+ for (int rl=0; rl<reflevels(); ++rl) {
+ assert (components(rl)>0);
+ for (int c=0; c<components(rl); ++c) {
+ for (int ml=0; ml<mglevels(rl,c); ++ml) {
+ assert (all(extents.at(rl).at(c).at(ml).stride()
+ == extents.at(rl).at(0).at(ml).stride()));
+ assert (extents.at(rl).at(c).at(ml).is_aligned_with(extents.at(rl).at(0).at(ml)));
+ for (int cc=c+1; cc<components(rl); ++cc) {
+ assert ((extents.at(rl).at(c).at(ml) & extents.at(rl).at(cc).at(ml)).empty());
+ }
+ }
+ }
+ }
+
+ // Check base grid extent
+ if (reflevels()>0) {
+ for (int c=0; c<components(0); ++c) {
+ // TODO: put the check back in, taking outer boundaries into
+ // account
+#if 0
+ assert (extents.at(0).at(c).at(0).is_contained_in(baseextent));
+#endif
+ }
+ }
+
+ // Check refinement levels
+ for (int rl=1; rl<reflevels(); ++rl) {
+ assert (all(extents.at(rl-1).at(0).at(0).stride()
+ == ivect(reffact) * extents.at(rl).at(0).at(0).stride()));
+ // Check contained-ness:
+ // first take all coarse grids ...
+ bboxset<int,D> all;
+ for (int c=0; c<components(rl-1); ++c) {
+ all |= extents.at(rl-1).at(c).at(0);
+ }
+ // ... remember their size ...
+ const int sz = all.size();
+ // ... then add the coarsified fine grids ...
+ for (int c=0; c<components(rl); ++c) {
+ all |= extents.at(rl).at(c).at(0).contracted_for(extents.at(rl-1).at(0).at(0));
+ }
+ // ... and then check the sizes:
+ assert (all.size() == sz);
+ }
+
+ // Calculate base extents of all levels
+ bases.resize(reflevels());
+ for (int rl=0; rl<reflevels(); ++rl) {
+ if (components(rl)==0) {
+ bases.at(rl).resize(0);
+ } else {
+ bases.at(rl).resize(mglevels(rl,0));
+ for (int ml=0; ml<mglevels(rl,0); ++ml) {
+ bases.at(rl).at(ml) = ibbox();
+ for (int c=0; c<components(rl); ++c) {
+ bases.at(rl).at(ml)
+ = bases.at(rl).at(ml).expanded_containing(extents.at(rl).at(c).at(ml));
+ }
+ }
+ }
+ }
+
+ if (output_bboxes) {
+ for (int rl=0; rl<reflevels(); ++rl) {
+ for (int c=0; c<components(rl); ++c) {
+ for (int ml=0; ml<mglevels(rl,c); ++ml) {
+ cout << endl;
+ cout << "gh bboxes:" << endl;
+ cout << "rl=" << rl << " c=" << c << " ml=" << ml << endl;
+ cout << "extent=" << extents.at(rl).at(c).at(ml) << endl;
+ cout << "outer_boundary=" << outer_boundaries.at(rl).at(c) << endl;
+ cout << "processor=" << processors.at(rl).at(c) << endl;
+ }
+ }
+ }
+ for (int rl=0; rl<reflevels(); ++rl) {
+ if (components(rl)>0) {
+ for (int ml=0; ml<mglevels(rl,0); ++ml) {
+ cout << endl;
+ cout << "gh bases:" << endl;
+ cout << "rl=" << rl << " ml=" << ml << endl;
+ cout << "base=" << bases.at(rl).at(ml) << endl;
+ }
+ }
+ }
+ }
+
+ // Recompose the other hierarchies
+
+ for (typename list<th<D>*>::iterator t=ths.begin(); t!=ths.end(); ++t) {
+ (*t)->recompose();
+ }
+
+ for (typename list<dh<D>*>::iterator d=dhs.begin(); d!=dhs.end(); ++d) {
+ (*d)->recompose (do_prolongate);
+ }
+}
+
+
+
+// Accessors
+template<int D>
+int gh<D>::local_components (const int rl) const {
+ int lc = 0;
+ for (int c=0; c<components(rl); ++c) {
+ if (is_local(rl,c)) ++lc;
+ }
+ return lc;
+}
+
+
+
+// Time hierarchy management
+template<int D>
+void gh<D>::add (th<D>* t) {
+ ths.push_back(t);
+}
+
+template<int D>
+void gh<D>::remove (th<D>* t) {
+ ths.remove(t);
+}
+
+
+
+// Data hierarchy management
+template<int D>
+void gh<D>::add (dh<D>* d) {
+ dhs.push_back(d);
+}
+
+template<int D>
+void gh<D>::remove (dh<D>* d) {
+ dhs.remove(d);
+}
+
+
+
+template<int D>
+ostream& gh<D>::output (ostream& os) const {
+ os << "gh<" << D << ">:"
+ << "reffactor=" << reffact << ",refcentering=" << refcent << ","
+ << "mgfactor=" << mgfact << ",mgcentering=" << mgcent << ","
+ << "extents=" << extents << ","
+ << "outer_boundaries=" << outer_boundaries << ","
+ << "processors=" << processors << ","
+ << "dhs={";
+ int cnt=0;
+ for (typename list<dh<D>*>::const_iterator d = dhs.begin();
+ d != dhs.end(); ++d) {
+ if (cnt++) os << ",";
+ (*d)->output(os);
+ }
+ os << "}";
+ return os;
+}
+
+
+
+template class gh<3>;
diff --git a/Carpet/CarpetLib/src/gh.hh b/Carpet/CarpetLib/src/gh.hh
new file mode 100644
index 000000000..edf149000
--- /dev/null
+++ b/Carpet/CarpetLib/src/gh.hh
@@ -0,0 +1,142 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/gh.hh,v 1.18 2004/08/07 19:47:11 schnetter Exp $
+
+#ifndef GH_HH
+#define GH_HH
+
+#include <assert.h>
+
+#include <iostream>
+#include <list>
+#include <vector>
+
+#include "bbox.hh"
+#include "defs.hh"
+#include "dist.hh"
+#include "vect.hh"
+
+using namespace std;
+
+
+
+// Forward declaration
+template<int D> class dh;
+template<int D> class th;
+template<int D> class gh;
+
+// Output
+template<int D>
+ostream& operator<< (ostream& os, const gh<D>& h);
+
+
+
+// A refinement hierarchy, where higher levels are finer than the base
+// level. The extents do not include ghost zones.
+template<int D>
+class gh {
+
+public:
+
+ // Types
+ typedef vect<int,D> ivect;
+ typedef bbox<int,D> ibbox;
+
+ typedef vect<vect<bool,2>,D> bvect;
+
+ typedef vector<ibbox> mexts; // ... for each multigrid level
+ typedef vector<mexts> cexts; // ... for each component
+ typedef vector<cexts> rexts; // ... for each refinement level
+
+ typedef vector<bvect> cbnds; // ... for each component
+ typedef vector<cbnds> rbnds; // ... for each refinement level
+
+ typedef vector<int> cprocs; // ... for each component
+ typedef vector<cprocs> rprocs; // ... for each refinement level
+
+public: // should be readonly
+
+ // Fields
+ int reffact; // refinement factor
+ centering refcent; // vertex or cell centered
+
+ int mgfact; // default multigrid factor
+ centering mgcent; // default (vertex or cell centered)
+
+ list<th<D>*> ths; // list of all time hierarchies
+
+ ibbox baseextent;
+ vector<vector<ibbox> > bases; // [rl][ml]
+
+ // TODO: invent structure for this
+ rexts extents; // extents of all grids
+ rbnds outer_boundaries; // boundary descriptions of all grids
+ rprocs processors; // processor numbers of all grids
+
+ list<dh<D>*> dhs; // list of all data hierarchies
+
+public:
+
+ // Constructors
+ gh (const int reffact, const centering refcent,
+ const int mgfact, const centering mgcent,
+ const ibbox baseextent);
+
+ // Destructors
+ virtual ~gh ();
+
+ // Modifiers
+ void recompose (const rexts& exts, const rbnds& outer_bounds,
+ const rprocs& procs,
+ const bool do_prolongate);
+
+ // Accessors
+ int reflevels () const {
+ return (int)extents.size();
+ }
+
+ int components (const int rl) const {
+ return (int)extents.at(rl).size();
+ }
+
+ int mglevels (const int rl, const int c) const {
+ return (int)extents.at(rl).at(c).size();
+ }
+
+ bvect outer_boundary (const int rl, const int c) const {
+ return outer_boundaries.at(rl).at(c);
+ }
+
+ int proc (const int rl, const int c) const {
+ return processors.at(rl).at(c);
+ }
+
+ bool is_local (const int rl, const int c) const {
+ int rank;
+ MPI_Comm_rank (dist::comm, &rank);
+ return proc(rl,c) == rank;
+ }
+
+ int local_components (const int rl) const;
+
+ // Time hierarchy management
+ void add (th<D>* t);
+ void remove (th<D>* t);
+
+ // Data hierarchy management
+ void add (dh<D>* d);
+ void remove (dh<D>* d);
+
+ // Output
+ virtual ostream& output (ostream& os) const;
+};
+
+
+
+template<int D>
+inline ostream& operator<< (ostream& os, const gh<D>& h) {
+ h.output(os);
+ return os;
+}
+
+
+
+#endif // GH_HH
diff --git a/Carpet/CarpetLib/src/instantiate b/Carpet/CarpetLib/src/instantiate
new file mode 100644
index 000000000..1f4e2d6d7
--- /dev/null
+++ b/Carpet/CarpetLib/src/instantiate
@@ -0,0 +1,178 @@
+// Instantiate templates for all available types -*-C++-*-
+// (C) 2001 Erik Schnetter <schnetter@uni-tuebingen.de>
+
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/instantiate,v 1.10 2004/03/01 21:35:13 schnetter Exp $
+
+// Usage:
+// Define the macro INSTANTIATE(T) to instantiate for the type T,
+// then include this file,
+// then undefine the macro INSTANTIATE.
+
+
+
+// Decide which types to instantiate
+
+#ifdef CARPET_ALL
+# undef CARPET_BYTE
+# undef CARPET_INT
+# undef CARPET_REAL
+# undef CARPET_COMPLEX
+# define CARPET_BYTE
+# define CARPET_INT
+# define CARPET_REAL
+# define CARPET_COMPLEX
+#endif
+
+#ifdef CARPET_ALL_INT
+# undef CARPET_INT1
+# undef CARPET_INT2
+# undef CARPET_INT4
+# undef CARPET_INT8
+# define CARPET_INT1
+# define CARPET_INT2
+# define CARPET_INT4
+# define CARPET_INT8
+#endif
+
+#ifdef CARPET_ALL_REAL
+# undef CARPET_REAL4
+# undef CARPET_REAL8
+# undef CARPET_REAL16
+# define CARPET_REAL4
+# define CARPET_REAL8
+# define CARPET_REAL16
+#endif
+
+#ifdef CARPET_ALL_COMPLEX
+# undef CARPET_COMPLEX8
+# undef CARPET_COMPLEX16
+# undef CARPET_COMPLEX32
+# define CARPET_COMPLEX8
+# define CARPET_COMPLEX16
+# define CARPET_COMPLEX32
+#endif
+
+#if !defined(CARPET_BYTE) && !defined(CARPET_INT) && !defined(CARPET_INT1) && !defined(CARPET_INT2) && !defined(CARPET_INT4) && !defined(CARPET_INT8) && !defined(CARPET_REAL) && !defined(CARPET_REAL4) && !defined(CARPET_REAL8) && !defined(CARPET_REAL16) && !defined(CARPET_COMPLEX) && !defined(CARPET_COMPLEX8) && !defined(CARPET_COMPLEX16) && !defined(CARPET_COMPLEX32)
+// Assume the user just wants INT, REAL, and COMPLEX
+# undef CARPET_INT
+# define CARPET_INT
+# undef CARPET_REAL
+# define CARPET_REAL
+# undef CARPET_COMPLEX
+# define CARPET_COMPLEX
+#endif
+
+#ifdef CARPET_INT
+# ifdef CCTK_INTEGER_PRECISION_1
+# undef CARPET_INT1
+# define CARPET_INT1
+# endif
+# ifdef CCTK_INTEGER_PRECISION_2
+# undef CARPET_INT2
+# define CARPET_INT2
+# endif
+# ifdef CCTK_INTEGER_PRECISION_4
+# undef CARPET_INT4
+# define CARPET_INT4
+# endif
+# ifdef CCTK_INTEGER_PRECISION_8
+# undef CARPET_INT8
+# define CARPET_INT8
+# endif
+#endif
+#ifdef CARPET_REAL
+# ifdef CCTK_REAL_PRECISION_4
+# undef CARPET_REAL4
+# define CARPET_REAL4
+# endif
+# ifdef CCTK_REAL_PRECISION_8
+# undef CARPET_REAL8
+# define CARPET_REAL8
+# endif
+# ifdef CCTK_REAL_PRECISION_16
+# undef CARPET_REAL16
+# define CARPET_REAL16
+# endif
+#endif
+#ifdef CARPET_COMPLEX
+# ifdef CCTK_REAL_PRECISION_4
+# undef CARPET_COMPLEX8
+# define CARPET_COMPLEX8
+# endif
+# ifdef CCTK_REAL_PRECISION_8
+# undef CARPET_COMPLEX16
+# define CARPET_COMPLEX16
+# endif
+# ifdef CCTK_REAL_PRECISION_16
+# undef CARPET_COMPLEX32
+# define CARPET_COMPLEX32
+# endif
+#endif
+
+
+
+// // Check
+// #if !defined(CARPET_BYTE) && !defined(CARPET_INT1) && !defined(CARPET_INT2) && !defined(CARPET_INT4) && !defined(CARPET_INT8) && !defined(CARPET_REAL4) && !defined(CARPET_REAL8) && !defined(CARPET_REAL16) && !defined(CARPET_COMPLEX8) && !defined(CARPET_COMPLEX16) && !defined(CARPET_COMPLEX32)
+// # error "You have not defined which grid function types to instantiate."
+// #endif
+
+
+
+// Instantiate the desired types
+
+#ifdef CARPET_BYTE
+INSTANTIATE(CCTK_BYTE)
+#endif
+
+#ifdef CARPET_INT1
+# ifdef CCTK_INT1
+INSTANTIATE(CCTK_INT1)
+# endif
+#endif
+#ifdef CARPET_INT2
+# ifdef CCTK_INT2
+INSTANTIATE(CCTK_INT2)
+# endif
+#endif
+#ifdef CARPET_INT4
+# ifdef CCTK_INT4
+INSTANTIATE(CCTK_INT4)
+# endif
+#endif
+#ifdef CARPET_INT8
+# ifdef CCTK_INT8
+INSTANTIATE(CCTK_INT8)
+# endif
+#endif
+
+#ifdef CARPET_REAL4
+# ifdef CCTK_REAL4
+INSTANTIATE(CCTK_REAL4)
+# endif
+#endif
+#ifdef CARPET_REAL8
+# ifdef CCTK_REAL8
+INSTANTIATE(CCTK_REAL8)
+# endif
+#endif
+#ifdef CARPET_REAL16
+# ifdef CCTK_REAL16
+INSTANTIATE(CCTK_REAL16)
+# endif
+#endif
+
+#ifdef CARPET_COMPLEX8
+# ifdef CCTK_REAL4
+INSTANTIATE(CCTK_COMPLEX8)
+# endif
+#endif
+#ifdef CARPET_COMPLEX16
+# ifdef CCTK_REAL8
+INSTANTIATE(CCTK_COMPLEX16)
+# endif
+#endif
+#ifdef CARPET_COMPLEX32
+# ifdef CCTK_REAL16
+INSTANTIATE(CCTK_COMPLEX32)
+# endif
+#endif
diff --git a/Carpet/CarpetLib/src/make.code.defn b/Carpet/CarpetLib/src/make.code.defn
new file mode 100644
index 000000000..4bfcaec4f
--- /dev/null
+++ b/Carpet/CarpetLib/src/make.code.defn
@@ -0,0 +1,47 @@
+# Main make.code.defn file for thorn CarpetLib -*-Makefile-*-
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/make.code.defn,v 1.13 2004/03/03 15:30:40 hawke Exp $
+
+# Source files in this directory
+SRCS = bbox.cc \
+ bboxset.cc \
+ data.cc \
+ defs.cc \
+ dh.cc \
+ dist.cc \
+ gdata.cc \
+ gf.cc \
+ ggf.cc \
+ gh.cc \
+ th.cc \
+ vect.cc \
+ checkindex.F77 \
+ copy_3d_complex16.F77 \
+ copy_3d_int4.F77 \
+ copy_3d_real8.F77 \
+ prolongate_3d_real8.F77 \
+ prolongate_3d_real8_rf2.F77 \
+ prolongate_3d_real8_o3.F77 \
+ prolongate_3d_real8_o3_rf2.F77 \
+ prolongate_3d_real8_o5.F77 \
+ prolongate_3d_real8_2tl.F77 \
+ prolongate_3d_real8_2tl_rf2.F77 \
+ prolongate_3d_real8_2tl_o3.F77 \
+ prolongate_3d_real8_2tl_o3_rf2.F77 \
+ prolongate_3d_real8_2tl_o5.F77 \
+ prolongate_3d_real8_3tl.F77 \
+ prolongate_3d_real8_3tl_rf2.F77 \
+ prolongate_3d_real8_3tl_o3.F77 \
+ prolongate_3d_real8_3tl_o3_rf2.F77 \
+ prolongate_3d_real8_3tl_o5.F77 \
+ prolongate_3d_real8_minmod.F77 \
+ prolongate_3d_real8_2tl_minmod.F77 \
+ prolongate_3d_real8_3tl_minmod.F77 \
+ prolongate_3d_real8_eno.F90 \
+ prolongate_3d_real8_2tl_eno.F90 \
+ prolongate_3d_real8_3tl_eno.F90 \
+ restrict_3d_real8.F77 \
+ restrict_3d_real8_rf2.F77
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/Carpet/CarpetLib/src/make.configuration.defn b/Carpet/CarpetLib/src/make.configuration.defn
new file mode 100644
index 000000000..a70db23a6
--- /dev/null
+++ b/Carpet/CarpetLib/src/make.configuration.defn
@@ -0,0 +1,7 @@
+# Main make.configuration.defn file for thorn CarpetLib -*-Makefile-*-
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/make.configuration.defn,v 1.5 2004/04/29 22:15:06 tradke Exp $
+
+# Ensure that MPI is available
+ifeq ($(strip $(HAVE_MPI)), )
+ $(error Configuration error: The Carpet thorns require MPI. Please configure with MPI, or remove the Carpet thorns from the ThornList.)
+endif
diff --git a/Carpet/CarpetLib/src/operators.hh b/Carpet/CarpetLib/src/operators.hh
new file mode 100644
index 000000000..b65ff23cb
--- /dev/null
+++ b/Carpet/CarpetLib/src/operators.hh
@@ -0,0 +1,8 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/operators.hh,v 1.2 2004/03/03 15:30:40 hawke Exp $
+
+#ifndef OPERATORS_HH
+#define OPERATORS_HH
+
+enum operator_type { op_error, op_none, op_Lagrange, op_TVD, op_ENO };
+
+#endif // OPERATORS_HH
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8.F77 b/Carpet/CarpetLib/src/prolongate_3d_real8.F77
new file mode 100644
index 000000000..8eae50332
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8.F77
@@ -0,0 +1,193 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8.F77,v 1.11 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+
+
+
+#define CHKIDX(i,j,k, imax,jmax,kmax, where) \
+ if ((i).lt.1 .or. (i).gt.(imax) \
+ .or. (j).lt.1 .or. (j).gt.(jmax) \
+ .or. (k).lt.1 .or. (k).gt.(kmax)) then &&\
+ write (msg, '(a, " array index out of bounds: shape is (",i4,",",i4,",",i4,"), index is (",i4,",",i4,",",i4,")")') \
+ (where), (imax), (jmax), (kmax), (i), (j), (k) &&\
+ call CCTK_WARN (0, msg(1:len_trim(msg))) &&\
+ end if
+
+
+
+ subroutine prolongate_3d_real8 (
+ $ src, srciext, srcjext, srckext,
+ $ dst, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ CCTK_REAL8 one
+ parameter (one = 1)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src(srciext,srcjext,srckext)
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer regiext, regjext, regkext
+
+ integer dstifac, dstjfac, dstkfac
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ CCTK_REAL8 dstdiv
+ integer i, j, k
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer ifac(2), jfac(2), kfac(2)
+ integer ii, jj, kk
+ integer fac
+ CCTK_REAL8 res
+ integer d
+
+ character msg*1000
+
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (mod(srcbbox(d,3), dstbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: destination strides are not integer multiples of the source strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).lt.srcbbox(d,1)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.srcbbox(d,2)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ dstifac = srcbbox(1,3) / dstbbox(1,3)
+ dstjfac = srcbbox(2,3) / dstbbox(2,3)
+ dstkfac = srcbbox(3,3) / dstbbox(3,3)
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Loop over fine region
+ dstdiv = one / (dstifac * dstjfac * dstkfac)
+
+ do k = 0, regkext-1
+ k0 = (srckoff + k) / dstkfac
+ fk = mod(srckoff + k, dstkfac)
+ kfac(1) = (fk-dstkfac) * (-1)
+ kfac(2) = (fk ) * 1
+
+ do j = 0, regjext-1
+ j0 = (srcjoff + j) / dstjfac
+ fj = mod(srcjoff + j, dstjfac)
+ jfac(1) = (fj-dstjfac) * (-1)
+ jfac(2) = (fj ) * 1
+
+ do i = 0, regiext-1
+ i0 = (srcioff + i) / dstifac
+ fi = mod(srcioff + i, dstifac)
+ ifac(1) = (fi-dstifac) * (-1)
+ ifac(2) = (fi ) * 1
+
+ res = 0
+
+ do kk=1,2
+ do jj=1,2
+ do ii=1,2
+
+ fac = ifac(ii) * jfac(jj) * kfac(kk)
+
+ if (fac.ne.0) then
+ CHKIDX (i0+ii, j0+jj, k0+kk, \
+ srciext,srcjext,srckext, "source")
+ res = res + fac * src(i0+ii, j0+jj, k0+kk)
+ end if
+
+ end do
+ end do
+ end do
+
+c$$$ fac = ifac(1) * jfac(1) * kfac(1)
+c$$$ if (fac.ne.0) res = res + fac * src(i0+1, j0+1, k0+1)
+c$$$
+c$$$ fac = ifac(2) * jfac(1) * kfac(1)
+c$$$ if (fac.ne.0) res = res + fac * src(i0+2, j0+1, k0+1)
+c$$$
+c$$$ fac = ifac(1) * jfac(2) * kfac(1)
+c$$$ if (fac.ne.0) res = res + fac * src(i0+1, j0+2, k0+1)
+c$$$
+c$$$ fac = ifac(2) * jfac(2) * kfac(1)
+c$$$ if (fac.ne.0) res = res + fac * src(i0+2, j0+2, k0+1)
+c$$$
+c$$$ fac = ifac(1) * jfac(1) * kfac(2)
+c$$$ if (fac.ne.0) res = res + fac * src(i0+1, j0+1, k0+2)
+c$$$
+c$$$ fac = ifac(2) * jfac(1) * kfac(2)
+c$$$ if (fac.ne.0) res = res + fac * src(i0+2, j0+1, k0+2)
+c$$$
+c$$$ fac = ifac(1) * jfac(2) * kfac(2)
+c$$$ if (fac.ne.0) res = res + fac * src(i0+1, j0+2, k0+2)
+c$$$
+c$$$ fac = ifac(2) * jfac(2) * kfac(2)
+c$$$ if (fac.ne.0) res = res + fac * src(i0+2, j0+2, k0+2)
+
+ CHKIDX (dstioff+i+1, dstjoff+j+1, dstkoff+k+1, \
+ dstiext,dstjext,dstkext, "destination")
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = dstdiv * res
+
+ end do
+ end do
+ end do
+
+ end
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_2tl.F77 b/Carpet/CarpetLib/src/prolongate_3d_real8_2tl.F77
new file mode 100644
index 000000000..8fd69178f
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8_2tl.F77
@@ -0,0 +1,193 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_2tl.F77,v 1.12 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+
+
+
+#define CHKIDX(i,j,k, imax,jmax,kmax, where) \
+ if ((i).lt.1 .or. (i).gt.(imax) \
+ .or. (j).lt.1 .or. (j).gt.(jmax) \
+ .or. (k).lt.1 .or. (k).gt.(kmax)) then &&\
+ write (msg, '(a, " array index out of bounds: shape is (",i4,",",i4,",",i4,"), index is (",i4,",",i4,",",i4,")")') \
+ (where), (imax), (jmax), (kmax), (i), (j), (k) &&\
+ call CCTK_WARN (0, msg(1:len_trim(msg))) &&\
+ end if
+
+
+
+ subroutine prolongate_3d_real8_2tl (
+ $ src1, t1, src2, t2, srciext, srcjext, srckext,
+ $ dst, t, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ CCTK_REAL8 one
+ parameter (one = 1)
+
+ CCTK_REAL8 eps
+ parameter (eps = 1.0d-10)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src1(srciext,srcjext,srckext)
+ CCTK_REAL8 t1
+ CCTK_REAL8 src2(srciext,srcjext,srckext)
+ CCTK_REAL8 t2
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+ CCTK_REAL8 t
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer regiext, regjext, regkext
+
+ integer dstifac, dstjfac, dstkfac
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ CCTK_REAL8 s1fac, s2fac
+
+ CCTK_REAL8 dstdiv
+ integer i, j, k
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer ifac(2), jfac(2), kfac(2)
+ integer ii, jj, kk
+ integer fac
+ CCTK_REAL8 res
+ integer d
+
+ character msg*1000
+
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (mod(srcbbox(d,3), dstbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: destination strides are not integer multiples of the source strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).lt.srcbbox(d,1)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.srcbbox(d,2)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ dstifac = srcbbox(1,3) / dstbbox(1,3)
+ dstjfac = srcbbox(2,3) / dstbbox(2,3)
+ dstkfac = srcbbox(3,3) / dstbbox(3,3)
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Linear (first order) interpolation
+ if (t1.eq.t2) then
+ call CCTK_WARN (0, "Internal error: arrays have same time")
+ end if
+ if (t.lt.min(t1,t2)-eps .or. t.gt.max(t1,t2)+eps) then
+ call CCTK_WARN (0, "Internal error: extrapolation in time")
+ end if
+
+ s1fac = (t - t2) / (t1 - t2)
+ s2fac = (t - t1) / (t2 - t1)
+
+
+
+c Loop over fine region
+ dstdiv = one / (dstifac * dstjfac * dstkfac)
+
+ do k = 0, regkext-1
+ k0 = (srckoff + k) / dstkfac
+ fk = mod(srckoff + k, dstkfac)
+ kfac(1) = (fk-dstkfac) * (-1)
+ kfac(2) = (fk ) * 1
+
+ do j = 0, regjext-1
+ j0 = (srcjoff + j) / dstjfac
+ fj = mod(srcjoff + j, dstjfac)
+ jfac(1) = (fj-dstjfac) * (-1)
+ jfac(2) = (fj ) * 1
+
+ do i = 0, regiext-1
+ i0 = (srcioff + i) / dstifac
+ fi = mod(srcioff + i, dstifac)
+ ifac(1) = (fi-dstifac) * (-1)
+ ifac(2) = (fi ) * 1
+
+ res = 0
+
+ do kk=1,2
+ do jj=1,2
+ do ii=1,2
+
+ fac = ifac(ii) * jfac(jj) * kfac(kk)
+
+ if (fac.ne.0) then
+ CHKIDX (i0+ii, j0+jj, k0+kk, \
+ srciext,srcjext,srckext, "source")
+ res = res
+ $ + fac * s1fac * src1(i0+ii, j0+jj, k0+kk)
+ $ + fac * s2fac * src2(i0+ii, j0+jj, k0+kk)
+ end if
+
+ end do
+ end do
+ end do
+
+ CHKIDX (dstioff+i+1, dstjoff+j+1, dstkoff+k+1, \
+ dstiext,dstjext,dstkext, "destination")
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = dstdiv * res
+
+ end do
+ end do
+ end do
+
+ end
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_eno.F90 b/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_eno.F90
new file mode 100644
index 000000000..03a151cdd
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_eno.F90
@@ -0,0 +1,302 @@
+!!$ -*-Fortran-*-
+!!$ $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_eno.F90,v 1.1 2004/03/03 15:30:40 hawke Exp $
+
+#include "cctk.h"
+
+
+!!$ This routine performs "ENO" prolongation. It is intended to be used
+!!$ with GFs that are not expected to be smooth, particularly those
+!!$ that must also obey certain constraints. The obvious example is the
+!!$ density in hydrodynamics, which may be discontinuous yet must be
+!!$ strictly positive.
+!!$
+!!$ To ensure that this prolongation method is used you should add the
+!!$ tag
+!!$
+!!$ tags='Prolongation="ENO"'
+!!$
+!!$ to the interface.ccl on the appropriate group.
+!!$
+!!$ This applies ENO2 type limiting to the slope, checking over the
+!!$ entire coarse grid cell for the least oscillatory quadratic in each
+!!$ direction. If the slope changes sign over the extrema, linear
+!!$ interpolation is used instead.
+!!$
+!!$ The actual eno1d function is defined in the routine
+!!$
+!!$ prolongate_3d_real8_eno.F77
+
+
+#define CHKIDX(i,j,k, imax,jmax,kmax, where) \
+if ((i).lt.1 .or. (i).gt.(imax) \
+ .or. (j).lt.1 .or. (j).gt.(jmax) \
+ .or. (k).lt.1 .or. (k).gt.(kmax)) then &&\
+ write (msg, '(a, " array index out of bounds: shape is (",i4,",",i4,",",i4,"), index is (",i4,",",i4,",",i4,")")') \
+ (where), (imax), (jmax), (kmax), (i), (j), (k) &&\
+ call CCTK_WARN (0, msg(1:len_trim(msg))) &&\
+end if
+
+subroutine prolongate_3d_real8_2tl_eno (src1, t1, src2, t2, &
+ srciext, srcjext, srckext, dst, t, dstiext, dstjext, dstkext, &
+ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ CCTK_REAL8 one
+ parameter (one = 1)
+
+ CCTK_REAL8 eps
+ parameter (eps = 1.0d-10)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src1(srciext,srcjext,srckext)
+ CCTK_REAL8 t1
+ CCTK_REAL8 src2(srciext,srcjext,srckext)
+ CCTK_REAL8 t2
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+ CCTK_REAL8 t
+
+!!$ bbox(:,1) is lower boundary (inclusive)
+!!$ bbox(:,2) is upper boundary (inclusive)
+!!$ bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer offsetlo, offsethi
+
+ integer regiext, regjext, regkext
+
+ integer dstifac, dstjfac, dstkfac
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ CCTK_REAL8 s1fac, s2fac
+
+ integer i, j, k
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer ifac(4), jfac(4), kfac(4)
+ integer ii, jj, kk
+ integer fac
+ CCTK_REAL8 res
+ integer d
+
+ character msg*1000
+
+ CCTK_REAL8, dimension(0:3,0:3) :: tmp1
+ CCTK_REAL8, dimension(0:3) :: tmp2
+ CCTK_REAL8 :: dsttmp1, dsttmp2
+
+ external eno1d
+ CCTK_REAL8 eno1d
+
+ CCTK_REAL8 half, zero
+ parameter (half = 0.5)
+ parameter (zero = 0)
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0 &
+ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3) &
+ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (mod(srcbbox(d,3), dstbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: destination strides are not integer multiples of the source strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0 &
+ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0 &
+ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+!!$ This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ regkext = (regbbox(d,2) - regbbox(d,1)) / regbbox(d,3) + 1
+ dstkfac = srcbbox(d,3) / dstbbox(d,3)
+ srckoff = (regbbox(d,1) - srcbbox(d,1)) / dstbbox(d,3)
+ offsetlo = regbbox(d,3)
+ if (mod(srckoff + 0, dstkfac).eq.0) then
+ offsetlo = 0
+ if (regkext.gt.1) then
+ offsetlo = regbbox(d,3)
+ end if
+ end if
+ offsethi = regbbox(d,3)
+ if (mod(srckoff + regkext-1, dstkfac).eq.0) then
+ offsethi = 0
+ if (regkext.gt.1) then
+ offsethi = regbbox(d,3)
+ end if
+ end if
+ if (regbbox(d,1)-offsetlo.lt.srcbbox(d,1) &
+ .or. regbbox(d,2)+offsethi.gt.srcbbox(d,2) &
+ .or. regbbox(d,1).lt.dstbbox(d,1) &
+ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1 &
+ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1 &
+ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1 &
+ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1 &
+ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1 &
+ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ dstifac = srcbbox(1,3) / dstbbox(1,3)
+ dstjfac = srcbbox(2,3) / dstbbox(2,3)
+ dstkfac = srcbbox(3,3) / dstbbox(3,3)
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+!!$ Linear (first order) interpolation
+ if (t1.eq.t2) then
+ call CCTK_WARN (0, "Internal error: arrays have same time")
+ end if
+ if (t.lt.min(t1,t2)-eps .or. t.gt.max(t1,t2)+eps) then
+ call CCTK_WARN (0, "Internal error: extrapolation in time")
+ end if
+
+ s1fac = (t - t2) / (t1 - t2)
+ s2fac = (t - t1) / (t2 - t1)
+
+!!$ Loop over fine region
+
+ do k = 0, regkext-1
+ k0 = (srckoff + k) / dstkfac
+ fk = mod(srckoff + k, dstkfac)
+
+ do j = 0, regjext-1
+ j0 = (srcjoff + j) / dstjfac
+ fj = mod(srcjoff + j, dstjfac)
+
+ do i = 0, regiext-1
+ i0 = (srcioff + i) / dstifac
+ fi = mod(srcioff + i, dstifac)
+
+!!$ Where is the fine grid point w.r.t the coarse grid?
+
+ select case (fi + 10*fj + 100*fk)
+ case (0)
+!!$ On a coarse grid point exactly!
+
+ dsttmp1 = src1(i0+1,j0+1,k0+1)
+ dsttmp2 = src2(i0+1,j0+1,k0+1)
+
+ case (1)
+!!$ Interpolate only in x
+
+ dsttmp1 = eno1d(src1(i0:i0+3,j0+1,k0+1))
+ dsttmp2 = eno1d(src2(i0:i0+3,j0+1,k0+1))
+
+ case (10)
+!!$ Interpolate only in y
+
+ dsttmp1 = eno1d(src1(i0+1,j0:j0+3,k0+1))
+ dsttmp2 = eno1d(src2(i0+1,j0:j0+3,k0+1))
+
+ case (11)
+!!$ Interpolate only in x and y
+
+ do jj = 0, 3
+ tmp2(jj) = eno1d(src1(i0:i0+3,j0+jj,k0+1))
+ end do
+
+ dsttmp1 = eno1d(tmp2(0:3))
+
+ do jj = 0, 3
+ tmp2(jj) = eno1d(src2(i0:i0+3,j0+jj,k0+1))
+ end do
+
+ dsttmp2 = eno1d(tmp2(0:3))
+
+ case (100)
+!!$ Interpolate only in z
+
+ dsttmp1 = eno1d(src1(i0+1,j0+1,k0:k0+3))
+ dsttmp2 = eno1d(src2(i0+1,j0+1,k0:k0+3))
+
+ case (101)
+!!$ Interpolate only in x and z
+
+ do kk = 0, 3
+ tmp2(kk) = eno1d(src1(i0:i0+3,j0+1,k0+kk))
+ end do
+
+ dsttmp1 = eno1d(tmp2(0:3))
+
+ do kk = 0, 3
+ tmp2(kk) = eno1d(src2(i0:i0+3,j0+1,k0+kk))
+ end do
+
+ dsttmp2 = eno1d(tmp2(0:3))
+
+ case (110)
+!!$ Interpolate only in y and z
+
+ do kk = 0, 3
+ tmp2(kk) = eno1d(src1(i0+1,j0:j0+3,k0+kk))
+ end do
+
+ dsttmp1 = eno1d(tmp2(0:3))
+
+ do kk = 0, 3
+ tmp2(kk) = eno1d(src2(i0+1,j0:j0+3,k0+kk))
+ end do
+
+ dsttmp2 = eno1d(tmp2(0:3))
+
+ case (111)
+!!$ Interpolate in all of x, y, and z
+
+ do jj = 0, 3
+ do kk = 0, 3
+ tmp1(jj,kk) = eno1d(src1(i0:i0+3,j0+jj,k0+kk))
+ end do
+ end do
+ do ii = 0, 3
+ tmp2(ii) = eno1d(tmp1(0:3,ii))
+ end do
+
+ dsttmp1 = eno1d(tmp2(0:3))
+
+ do jj = 0, 3
+ do kk = 0, 3
+ tmp1(jj,kk) = eno1d(src2(i0:i0+3,j0+jj,k0+kk))
+ end do
+ end do
+ do ii = 0, 3
+ tmp2(ii) = eno1d(tmp1(0:3,ii))
+ end do
+
+ dsttmp2 = eno1d(tmp2(0:3))
+
+ case default
+ call CCTK_WARN(0, "Internal error in ENO prolongation. Should only be used with refinement factor 2!")
+ end select
+
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = &
+ s1fac * dsttmp1 + s2fac * dsttmp2
+
+ end do
+ end do
+ end do
+
+end subroutine prolongate_3d_real8_2tl_eno
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_minmod.F77 b/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_minmod.F77
new file mode 100644
index 000000000..61db42539
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_minmod.F77
@@ -0,0 +1,325 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_minmod.F77,v 1.6 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+
+c$$$ This routine performs "TVD" prolongation. It is intended to be used
+c$$$ with GFs that are not expected to be smooth, particularly those
+c$$$ that must also obey certain constraints. The obvious example is the
+c$$$ density in hydrodynamics, which may be discontinuous yet must be
+c$$$ strictly positive.
+c$$$
+c$$$ To ensure that this prolongation method is used you should add the
+c$$$ tag
+c$$$
+c$$$ tags='Prolongation="TVD"'
+c$$$
+c$$$ to the interface.ccl on the appropriate group.
+c$$$
+c$$$ This applies minmod type limiting to the slope, checking over the
+c$$$ entire coarse grid cell for the minimum modulus in each direction.
+c$$$
+c$$$ The actual minmod function is defined in the routine
+c$$$
+c$$$ prolongate_3d_real8_minmod.F77
+
+#define CHKIDX(i,j,k, imax,jmax,kmax, where) \
+ if ((i).lt.1 .or. (i).gt.(imax) \
+ .or. (j).lt.1 .or. (j).gt.(jmax) \
+ .or. (k).lt.1 .or. (k).gt.(kmax)) then &&\
+ write (msg, '(a, " array index out of bounds: shape is (",i4,",",i4,",",i4,"), index is (",i4,",",i4,",",i4,")")') \
+ (where), (imax), (jmax), (kmax), (i), (j), (k) &&\
+ call CCTK_WARN (0, msg(1:len_trim(msg))) &&\
+ end if
+
+
+
+ subroutine prolongate_3d_real8_2tl_minmod (
+ $ src1, t1, src2, t2, srciext, srcjext, srckext,
+ $ dst, t, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ CCTK_REAL8 one
+ parameter (one = 1)
+
+ CCTK_REAL8 eps
+ parameter (eps = 1.0d-10)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src1(srciext,srcjext,srckext)
+ CCTK_REAL8 t1
+ CCTK_REAL8 src2(srciext,srcjext,srckext)
+ CCTK_REAL8 t2
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+ CCTK_REAL8 t
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer offsetlo, offsethi
+
+ integer regiext, regjext, regkext
+
+ integer dstifac, dstjfac, dstkfac
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ CCTK_REAL8 s1fac, s2fac
+
+ CCTK_REAL8 dstdiv
+ integer i, j, k
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer ifac(4), jfac(4), kfac(4)
+ integer ii, jj, kk
+ integer fac
+ CCTK_REAL8 res
+ integer d
+
+ character msg*1000
+
+
+ external minmod
+ CCTK_REAL8 minmod
+
+ CCTK_REAL8 half, zero
+ parameter (half = 0.5)
+ parameter (zero = 0)
+ CCTK_REAL8 dupw, dloc, slopex(2), slopey(2), slopez(2)
+
+ logical firstloop
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (mod(srcbbox(d,3), dstbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: destination strides are not integer multiples of the source strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ regkext = (regbbox(d,2) - regbbox(d,1)) / regbbox(d,3) + 1
+ dstkfac = srcbbox(d,3) / dstbbox(d,3)
+ srckoff = (regbbox(d,1) - srcbbox(d,1)) / dstbbox(d,3)
+ offsetlo = regbbox(d,3)
+ if (mod(srckoff + 0, dstkfac).eq.0) then
+ offsetlo = 0
+ if (regkext.gt.1) then
+ offsetlo = regbbox(d,3)
+ end if
+ end if
+ offsethi = regbbox(d,3)
+ if (mod(srckoff + regkext-1, dstkfac).eq.0) then
+ offsethi = 0
+ if (regkext.gt.1) then
+ offsethi = regbbox(d,3)
+ end if
+ end if
+ if (regbbox(d,1)-offsetlo.lt.srcbbox(d,1)
+ $ .or. regbbox(d,2)+offsethi.gt.srcbbox(d,2)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ dstifac = srcbbox(1,3) / dstbbox(1,3)
+ dstjfac = srcbbox(2,3) / dstbbox(2,3)
+ dstkfac = srcbbox(3,3) / dstbbox(3,3)
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Linear (first order) interpolation
+ if (t1.eq.t2) then
+ call CCTK_WARN (0, "Internal error: arrays have same time")
+ end if
+ if (t.lt.min(t1,t2)-eps .or. t.gt.max(t1,t2)+eps) then
+ call CCTK_WARN (0, "Internal error: extrapolation in time")
+ end if
+
+ s1fac = (t - t2) / (t1 - t2)
+ s2fac = (t - t1) / (t2 - t1)
+
+
+
+c Loop over fine region
+
+ do k = 0, regkext-1
+ k0 = (srckoff + k) / dstkfac
+ fk = mod(srckoff + k, dstkfac)
+
+ do j = 0, regjext-1
+ j0 = (srcjoff + j) / dstjfac
+ fj = mod(srcjoff + j, dstjfac)
+
+ do i = 0, regiext-1
+ i0 = (srcioff + i) / dstifac
+ fi = mod(srcioff + i, dstifac)
+
+ slopex(1) = zero
+ slopey(1) = zero
+ slopez(1) = zero
+
+ firstloop = .true.
+
+ do kk = 1, 2
+ do jj = 1, 2
+
+ dupw = src1(i0+1 ,j0+jj,k0+kk) - src1(i0+0 ,j0+jj,k0+kk)
+ dloc = src1(i0+2 ,j0+jj,k0+kk) - src1(i0+1 ,j0+kk,k0+kk)
+ if (firstloop) then
+ slopex(1) = half * dble(fi) * minmod(dupw,dloc)
+ firstloop = .false.
+ else
+ slopex(1) =
+ $ minmod(slopex(1), half * dble(fi) * minmod(dupw,dloc))
+ end if
+ end do
+ end do
+
+ firstloop = .true.
+
+ do kk = 1, 2
+ do ii = 1, 2
+
+ dupw = src1(i0+ii,j0+1 ,k0+kk) - src1(i0+ii,j0+0 ,k0+kk)
+ dloc = src1(i0+ii,j0+2 ,k0+kk) - src1(i0+ii,j0+1 ,k0+kk)
+ if (firstloop) then
+ slopey(1) = half * dble(fj) * minmod(dupw,dloc)
+ firstloop = .false.
+ else
+ slopey(1) =
+ $ minmod(slopey(1), half * dble(fj) * minmod(dupw,dloc))
+ end if
+ end do
+ end do
+
+ firstloop = .true.
+
+ do jj = 1, 2
+ do ii = 1, 2
+
+ dupw = src1(i0+ii,j0+jj,k0+1 ) - src1(i0+ii,j0+jj,k0+0 )
+ dloc = src1(i0+ii,j0+jj,k0+2 ) - src1(i0+ii,j0+jj,k0+1 )
+ if (firstloop) then
+ slopez(1) = half * dble(fk) * minmod(dupw,dloc)
+ firstloop = .false.
+ else
+ slopez(1) =
+ $ minmod(slopez(1), half * dble(fk) * minmod(dupw,dloc))
+ end if
+ end do
+ end do
+
+ slopex(2) = zero
+ slopey(2) = zero
+ slopez(2) = zero
+
+ firstloop = .true.
+
+ do kk = 1, 2
+ do jj = 1, 2
+
+ dupw = src2(i0+1 ,j0+jj,k0+kk) - src2(i0+0 ,j0+jj,k0+kk)
+ dloc = src2(i0+2 ,j0+jj,k0+kk) - src2(i0+1 ,j0+kk,k0+kk)
+ if (firstloop) then
+ slopex(2) = half * dble(fi) * minmod(dupw,dloc)
+ firstloop = .false.
+ else
+ slopex(2) =
+ $ minmod(slopex(2), half * dble(fi) * minmod(dupw,dloc))
+ end if
+ end do
+ end do
+
+ do kk = 1, 2
+ do ii = 1, 2
+
+ dupw = src2(i0+ii,j0+1 ,k0+kk) - src2(i0+ii,j0+0 ,k0+kk)
+ dloc = src2(i0+ii,j0+2 ,k0+kk) - src2(i0+ii,j0+1 ,k0+kk)
+ if (firstloop) then
+ slopey(2) = half * dble(fj) * minmod(dupw,dloc)
+ firstloop = .false.
+ else
+ slopey(2) =
+ $ minmod(slopey(2), half * dble(fj) * minmod(dupw,dloc))
+ end if
+ end do
+ end do
+
+ firstloop = .true.
+
+ do jj = 1, 2
+ do ii = 1, 2
+
+ dupw = src2(i0+ii,j0+jj,k0+1 ) - src2(i0+ii,j0+jj,k0+0 )
+ dloc = src2(i0+ii,j0+jj,k0+2 ) - src2(i0+ii,j0+jj,k0+1 )
+ if (firstloop) then
+ slopez(2) = half * dble(fk) * minmod(dupw,dloc)
+ firstloop = .false.
+ else
+ slopez(2) =
+ $ minmod(slopez(2), half * dble(fk) * minmod(dupw,dloc))
+ end if
+ end do
+ end do
+
+ CHKIDX (dstioff+i+1, dstjoff+j+1, dstkoff+k+1, \
+ dstiext,dstjext,dstkext, "destination")
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) =
+ $ s1fac * (src1(i0+1,j0+1,k0+1) +
+ $ slopex(1) + slopey(1) + slopez(1)) +
+ $ s2fac * (src2(i0+1,j0+1,k0+1) +
+ $ slopex(2) + slopey(2) + slopez(2))
+
+ end do
+ end do
+ end do
+
+ end
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_o3.F77 b/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_o3.F77
new file mode 100644
index 000000000..0f0509cff
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_o3.F77
@@ -0,0 +1,218 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_o3.F77,v 1.13 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+
+
+
+#define CHKIDX(i,j,k, imax,jmax,kmax, where) \
+ if ((i).lt.1 .or. (i).gt.(imax) \
+ .or. (j).lt.1 .or. (j).gt.(jmax) \
+ .or. (k).lt.1 .or. (k).gt.(kmax)) then &&\
+ write (msg, '(a, " array index out of bounds: shape is (",i4,",",i4,",",i4,"), index is (",i4,",",i4,",",i4,")")') \
+ (where), (imax), (jmax), (kmax), (i), (j), (k) &&\
+ call CCTK_WARN (0, msg(1:len_trim(msg))) &&\
+ end if
+
+
+
+ subroutine prolongate_3d_real8_2tl_o3 (
+ $ src1, t1, src2, t2, srciext, srcjext, srckext,
+ $ dst, t, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ CCTK_REAL8 one
+ parameter (one = 1)
+
+ CCTK_REAL8 eps
+ parameter (eps = 1.0d-10)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src1(srciext,srcjext,srckext)
+ CCTK_REAL8 t1
+ CCTK_REAL8 src2(srciext,srcjext,srckext)
+ CCTK_REAL8 t2
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+ CCTK_REAL8 t
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer offsetlo, offsethi
+
+ integer regiext, regjext, regkext
+
+ integer dstifac, dstjfac, dstkfac
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ CCTK_REAL8 s1fac, s2fac
+
+ CCTK_REAL8 dstdiv
+ integer i, j, k
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer ifac(4), jfac(4), kfac(4)
+ integer ii, jj, kk
+ integer fac
+ CCTK_REAL8 res
+ integer d
+
+ character msg*1000
+
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (mod(srcbbox(d,3), dstbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: destination strides are not integer multiples of the source strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ regkext = (regbbox(d,2) - regbbox(d,1)) / regbbox(d,3) + 1
+ dstkfac = srcbbox(d,3) / dstbbox(d,3)
+ srckoff = (regbbox(d,1) - srcbbox(d,1)) / dstbbox(d,3)
+ offsetlo = regbbox(d,3)
+ if (mod(srckoff + 0, dstkfac).eq.0) then
+ offsetlo = 0
+ if (regkext.gt.1) then
+ offsetlo = regbbox(d,3)
+ end if
+ end if
+ offsethi = regbbox(d,3)
+ if (mod(srckoff + regkext-1, dstkfac).eq.0) then
+ offsethi = 0
+ if (regkext.gt.1) then
+ offsethi = regbbox(d,3)
+ end if
+ end if
+ if (regbbox(d,1)-offsetlo.lt.srcbbox(d,1)
+ $ .or. regbbox(d,2)+offsethi.gt.srcbbox(d,2)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ dstifac = srcbbox(1,3) / dstbbox(1,3)
+ dstjfac = srcbbox(2,3) / dstbbox(2,3)
+ dstkfac = srcbbox(3,3) / dstbbox(3,3)
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Linear (first order) interpolation
+ if (t1.eq.t2) then
+ call CCTK_WARN (0, "Internal error: arrays have same time")
+ end if
+ if (t.lt.min(t1,t2)-eps .or. t.gt.max(t1,t2)+eps) then
+ call CCTK_WARN (0, "Internal error: extrapolation in time")
+ end if
+
+ s1fac = (t - t2) / (t1 - t2)
+ s2fac = (t - t1) / (t2 - t1)
+
+
+
+c Loop over fine region
+ dstdiv = one / (6*dstifac**3 * 6*dstjfac**3 * 6*dstkfac**3)
+
+ do k = 0, regkext-1
+ k0 = (srckoff + k) / dstkfac
+ fk = mod(srckoff + k, dstkfac)
+ kfac(1) = (fk ) * (fk-dstkfac) * (fk-2*dstkfac) * (-1)
+ kfac(2) = (fk+dstkfac) * (fk-dstkfac) * (fk-2*dstkfac) * 3
+ kfac(3) = (fk+dstkfac) * (fk ) * (fk-2*dstkfac) * (-3)
+ kfac(4) = (fk+dstkfac) * (fk ) * (fk- dstkfac) * 1
+
+ do j = 0, regjext-1
+ j0 = (srcjoff + j) / dstjfac
+ fj = mod(srcjoff + j, dstjfac)
+ jfac(1) = (fj ) * (fj-dstjfac) * (fj-2*dstjfac) * (-1)
+ jfac(2) = (fj+dstjfac) * (fj-dstjfac) * (fj-2*dstjfac) * 3
+ jfac(3) = (fj+dstjfac) * (fj ) * (fj-2*dstjfac) * (-3)
+ jfac(4) = (fj+dstjfac) * (fj ) * (fj- dstjfac) * 1
+
+ do i = 0, regiext-1
+ i0 = (srcioff + i) / dstifac
+ fi = mod(srcioff + i, dstifac)
+ ifac(1) = (fi ) * (fi-dstifac) * (fi-2*dstifac) * (-1)
+ ifac(2) = (fi+dstifac) * (fi-dstifac) * (fi-2*dstifac) * 3
+ ifac(3) = (fi+dstifac) * (fi ) * (fi-2*dstifac) * (-3)
+ ifac(4) = (fi+dstifac) * (fi ) * (fi- dstifac) * 1
+
+ res = 0
+
+ do kk=1,4
+ do jj=1,4
+ do ii=1,4
+
+ fac = ifac(ii) * jfac(jj) * kfac(kk)
+
+ if (fac.ne.0) then
+ CHKIDX (i0+ii-1, j0+jj-1, k0+kk-1, \
+ srciext,srcjext,srckext, "source")
+ res = res
+ $ + fac * s1fac * src1(i0+ii-1, j0+jj-1, k0+kk-1)
+ $ + fac * s2fac * src2(i0+ii-1, j0+jj-1, k0+kk-1)
+ end if
+
+ end do
+ end do
+ end do
+
+ CHKIDX (dstioff+i+1, dstjoff+j+1, dstkoff+k+1, \
+ dstiext,dstjext,dstkext, "destination")
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = dstdiv * res
+
+ end do
+ end do
+ end do
+
+ end
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_o3_rf2.F77 b/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_o3_rf2.F77
new file mode 100644
index 000000000..d9d62741b
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_o3_rf2.F77
@@ -0,0 +1,628 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_o3_rf2.F77,v 1.2 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+
+
+ subroutine prolongate_3d_real8_2tl_o3_rf2 (
+ $ src1, t1, src2, t2, srciext, srcjext, srckext,
+ $ dst, t, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ DECLARE_CCTK_PARAMETERS
+
+ CCTK_REAL8 eps
+ parameter (eps = 1.0d-10)
+
+ CCTK_REAL8 one, half, fourth, eighth, sixteenth
+ parameter (one = 1)
+ parameter (half = one/2)
+ parameter (fourth = one/4)
+ parameter (eighth = one/8)
+ parameter (sixteenth = one/16)
+ CCTK_REAL8 f1, f2, f3, f4
+ parameter (f1 = - sixteenth)
+ parameter (f2 = 9*sixteenth)
+ parameter (f3 = 9*sixteenth)
+ parameter (f4 = - sixteenth)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src1(srciext,srcjext,srckext)
+ CCTK_REAL8 t1
+ CCTK_REAL8 src2(srciext,srcjext,srckext)
+ CCTK_REAL8 t2
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+ CCTK_REAL8 t
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer regiext, regjext, regkext
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ integer offsetlo, offsethi
+
+ CCTK_REAL8 s1fac, s2fac
+
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer is, js, ks
+ integer id, jd, kd
+ integer i, j, k
+
+ CCTK_REAL8 res1, res2
+
+ integer d
+
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (srcbbox(d,3).ne.dstbbox(d,3)*2) then
+ call CCTK_WARN (0, "Internal error: source strides are not twice the destination strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ regkext = (regbbox(d,2) - regbbox(d,1)) / regbbox(d,3) + 1
+ srckoff = (regbbox(d,1) - srcbbox(d,1)) / dstbbox(d,3)
+ offsetlo = regbbox(d,3)
+ if (mod(srckoff, 2).eq.0) then
+ offsetlo = 0
+ if (regkext.gt.1) then
+ offsetlo = regbbox(d,3)
+ end if
+ end if
+ offsethi = regbbox(d,3)
+ if (mod(srckoff + regkext-1, 2).eq.0) then
+ offsethi = 0
+ if (regkext.gt.1) then
+ offsethi = regbbox(d,3)
+ end if
+ end if
+ if (regbbox(d,1)-offsetlo.lt.srcbbox(d,1)
+ $ .or. regbbox(d,2)+offsethi.gt.srcbbox(d,2)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Quadratic (second order) time interpolation
+ if (t1.eq.t2) then
+ call CCTK_WARN (0, "Internal error: arrays have same time")
+ end if
+ if (t.lt.min(t1,t2)-eps .or. t.gt.max(t1,t2)+eps) then
+ call CCTK_WARN (0, "Internal error: extrapolation in time in time")
+ end if
+
+ s1fac = (t - t2) / (t1 - t2)
+ s2fac = (t - t1) / (t2 - t1)
+
+
+
+ fi = mod(srcioff, 2)
+ fj = mod(srcjoff, 2)
+ fk = mod(srckoff, 2)
+
+ i0 = srcioff / 2
+ j0 = srcjoff / 2
+ k0 = srckoff / 2
+
+
+
+c Loop over fine region
+c Label scheme: 8 fk fj fi
+
+c begin k loop
+ 8 continue
+ k = 0
+ ks = k0+1
+ kd = dstkoff+1
+ if (fk.eq.0) goto 80
+ if (fk.eq.1) goto 81
+ stop
+
+c begin j loop
+ 80 continue
+ j = 0
+ js = j0+1
+ jd = dstjoff+1
+ if (fj.eq.0) goto 800
+ if (fj.eq.1) goto 801
+ stop
+
+c begin i loop
+ 800 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8000
+ if (fi.eq.1) goto 8001
+ stop
+
+c kernel
+ 8000 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 1,1,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + s1fac * src1(is,js,ks)
+ $ + s2fac * src2(is,js,ks)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8001
+ goto 900
+
+c kernel
+ 8001 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is-1,js,ks, 4,1,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + f1 * s1fac * src1(is-1,js,ks) + f2 * s1fac * src1(is ,js,ks)
+ $ + f3 * s1fac * src1(is+1,js,ks) + f4 * s1fac * src1(is+2,js,ks)
+ $ + f1 * s2fac * src2(is-1,js,ks) + f2 * s2fac * src2(is ,js,ks)
+ $ + f3 * s2fac * src2(is+1,js,ks) + f4 * s2fac * src2(is+2,js,ks)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8000
+ goto 900
+
+c end i loop
+ 900 continue
+ j = j+1
+ jd = jd+1
+ if (j.lt.regjext) goto 801
+ goto 90
+
+c begin i loop
+ 801 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8010
+ if (fi.eq.1) goto 8011
+ stop
+
+c kernel
+ 8010 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js-1,ks, 1,4,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + f1 * s1fac * src1(is,js-1,ks) + f2 * s1fac * src1(is,js ,ks)
+ $ + f3 * s1fac * src1(is,js+1,ks) + f4 * s1fac * src1(is,js+2,ks)
+ $ + f1 * s2fac * src2(is,js-1,ks) + f2 * s2fac * src2(is,js ,ks)
+ $ + f3 * s2fac * src2(is,js+1,ks) + f4 * s2fac * src2(is,js+2,ks)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8011
+ goto 901
+
+c kernel
+ 8011 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is-1,js-1,ks, 4,4,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + f1*f1 * s1fac * src1(is-1,js-1,ks)
+ $ + f2*f1 * s1fac * src1(is ,js-1,ks)
+ $ + f3*f1 * s1fac * src1(is+1,js-1,ks)
+ $ + f4*f1 * s1fac * src1(is+2,js-1,ks)
+ $ + f1*f2 * s1fac * src1(is-1,js ,ks)
+ $ + f2*f2 * s1fac * src1(is ,js ,ks)
+ $ + f3*f2 * s1fac * src1(is+1,js ,ks)
+ $ + f4*f2 * s1fac * src1(is+2,js ,ks)
+ $ + f1*f3 * s1fac * src1(is-1,js+1,ks)
+ $ + f2*f3 * s1fac * src1(is ,js+1,ks)
+ $ + f3*f3 * s1fac * src1(is+1,js+1,ks)
+ $ + f4*f3 * s1fac * src1(is+2,js+1,ks)
+ $ + f1*f4 * s1fac * src1(is-1,js+2,ks)
+ $ + f2*f4 * s1fac * src1(is ,js+2,ks)
+ $ + f3*f4 * s1fac * src1(is+1,js+2,ks)
+ $ + f4*f4 * s1fac * src1(is+2,js+2,ks)
+ $
+ $ + f1*f1 * s2fac * src2(is-1,js-1,ks)
+ $ + f2*f1 * s2fac * src2(is ,js-1,ks)
+ $ + f3*f1 * s2fac * src2(is+1,js-1,ks)
+ $ + f4*f1 * s2fac * src2(is+2,js-1,ks)
+ $ + f1*f2 * s2fac * src2(is-1,js ,ks)
+ $ + f2*f2 * s2fac * src2(is ,js ,ks)
+ $ + f3*f2 * s2fac * src2(is+1,js ,ks)
+ $ + f4*f2 * s2fac * src2(is+2,js ,ks)
+ $ + f1*f3 * s2fac * src2(is-1,js+1,ks)
+ $ + f2*f3 * s2fac * src2(is ,js+1,ks)
+ $ + f3*f3 * s2fac * src2(is+1,js+1,ks)
+ $ + f4*f3 * s2fac * src2(is+2,js+1,ks)
+ $ + f1*f4 * s2fac * src2(is-1,js+2,ks)
+ $ + f2*f4 * s2fac * src2(is ,js+2,ks)
+ $ + f3*f4 * s2fac * src2(is+1,js+2,ks)
+ $ + f4*f4 * s2fac * src2(is+2,js+2,ks)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8010
+ goto 901
+
+c end i loop
+ 901 continue
+ j = j+1
+ jd = jd+1
+ js = js+1
+ if (j.lt.regjext) goto 800
+ goto 90
+
+c end j loop
+ 90 continue
+ k = k+1
+ kd = kd+1
+ if (k.lt.regkext) goto 81
+ goto 9
+
+c begin j loop
+ 81 continue
+ j = 0
+ js = j0+1
+ jd = dstjoff+1
+ if (fj.eq.0) goto 810
+ if (fj.eq.1) goto 811
+ stop
+
+c begin i loop
+ 810 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8100
+ if (fi.eq.1) goto 8101
+ stop
+
+c kernel
+ 8100 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks-1, 1,1,4, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + f1 * s1fac * src1(is,js,ks-1) + f2 * s1fac * src1(is,js,ks )
+ $ + f3 * s1fac * src1(is,js,ks+1) + f4 * s1fac * src1(is,js,ks+2)
+ $ + f1 * s2fac * src2(is,js,ks-1) + f2 * s2fac * src2(is,js,ks )
+ $ + f3 * s2fac * src2(is,js,ks+1) + f4 * s2fac * src2(is,js,ks+2)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8101
+ goto 910
+
+c kernel
+ 8101 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is-1,js,ks-1, 4,1,4, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + f1*f1 * s1fac * src1(is-1,js,ks-1)
+ $ + f2*f1 * s1fac * src1(is ,js,ks-1)
+ $ + f3*f1 * s1fac * src1(is+1,js,ks-1)
+ $ + f4*f1 * s1fac * src1(is+2,js,ks-1)
+ $ + f1*f2 * s1fac * src1(is-1,js,ks )
+ $ + f2*f2 * s1fac * src1(is ,js,ks )
+ $ + f3*f2 * s1fac * src1(is+1,js,ks )
+ $ + f4*f2 * s1fac * src1(is+2,js,ks )
+ $ + f1*f3 * s1fac * src1(is-1,js,ks+1)
+ $ + f2*f3 * s1fac * src1(is ,js,ks+1)
+ $ + f3*f3 * s1fac * src1(is+1,js,ks+1)
+ $ + f4*f3 * s1fac * src1(is+2,js,ks+1)
+ $ + f1*f4 * s1fac * src1(is-1,js,ks+2)
+ $ + f2*f4 * s1fac * src1(is ,js,ks+2)
+ $ + f3*f4 * s1fac * src1(is+1,js,ks+2)
+ $ + f4*f4 * s1fac * src1(is+2,js,ks+2)
+ $
+ $ + f1*f1 * s2fac * src2(is-1,js,ks-1)
+ $ + f2*f1 * s2fac * src2(is ,js,ks-1)
+ $ + f3*f1 * s2fac * src2(is+1,js,ks-1)
+ $ + f4*f1 * s2fac * src2(is+2,js,ks-1)
+ $ + f1*f2 * s2fac * src2(is-1,js,ks )
+ $ + f2*f2 * s2fac * src2(is ,js,ks )
+ $ + f3*f2 * s2fac * src2(is+1,js,ks )
+ $ + f4*f2 * s2fac * src2(is+2,js,ks )
+ $ + f1*f3 * s2fac * src2(is-1,js,ks+1)
+ $ + f2*f3 * s2fac * src2(is ,js,ks+1)
+ $ + f3*f3 * s2fac * src2(is+1,js,ks+1)
+ $ + f4*f3 * s2fac * src2(is+2,js,ks+1)
+ $ + f1*f4 * s2fac * src2(is-1,js,ks+2)
+ $ + f2*f4 * s2fac * src2(is ,js,ks+2)
+ $ + f3*f4 * s2fac * src2(is+1,js,ks+2)
+ $ + f4*f4 * s2fac * src2(is+2,js,ks+2)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8100
+ goto 910
+
+c end i loop
+ 910 continue
+ j = j+1
+ jd = jd+1
+ if (j.lt.regjext) goto 811
+ goto 91
+
+c begin i loop
+ 811 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8110
+ if (fi.eq.1) goto 8111
+ stop
+
+c kernel
+ 8110 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js-1,ks-1, 1,4,4, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + f1*f1 * s1fac * src1(is,js-1,ks-1)
+ $ + f2*f1 * s1fac * src1(is,js ,ks-1)
+ $ + f3*f1 * s1fac * src1(is,js+1,ks-1)
+ $ + f4*f1 * s1fac * src1(is,js+2,ks-1)
+ $ + f1*f2 * s1fac * src1(is,js-1,ks )
+ $ + f2*f2 * s1fac * src1(is,js ,ks )
+ $ + f3*f2 * s1fac * src1(is,js+1,ks )
+ $ + f4*f2 * s1fac * src1(is,js+2,ks )
+ $ + f1*f3 * s1fac * src1(is,js-1,ks+1)
+ $ + f2*f3 * s1fac * src1(is,js ,ks+1)
+ $ + f3*f3 * s1fac * src1(is,js+1,ks+1)
+ $ + f4*f3 * s1fac * src1(is,js+2,ks+1)
+ $ + f1*f4 * s1fac * src1(is,js-1,ks+2)
+ $ + f2*f4 * s1fac * src1(is,js ,ks+2)
+ $ + f3*f4 * s1fac * src1(is,js+1,ks+2)
+ $ + f4*f4 * s1fac * src1(is,js+2,ks+2)
+ $
+ $ + f1*f1 * s2fac * src2(is,js-1,ks-1)
+ $ + f2*f1 * s2fac * src2(is,js ,ks-1)
+ $ + f3*f1 * s2fac * src2(is,js+1,ks-1)
+ $ + f4*f1 * s2fac * src2(is,js+2,ks-1)
+ $ + f1*f2 * s2fac * src2(is,js-1,ks )
+ $ + f2*f2 * s2fac * src2(is,js ,ks )
+ $ + f3*f2 * s2fac * src2(is,js+1,ks )
+ $ + f4*f2 * s2fac * src2(is,js+2,ks )
+ $ + f1*f3 * s2fac * src2(is,js-1,ks+1)
+ $ + f2*f3 * s2fac * src2(is,js ,ks+1)
+ $ + f3*f3 * s2fac * src2(is,js+1,ks+1)
+ $ + f4*f3 * s2fac * src2(is,js+2,ks+1)
+ $ + f1*f4 * s2fac * src2(is,js-1,ks+2)
+ $ + f2*f4 * s2fac * src2(is,js ,ks+2)
+ $ + f3*f4 * s2fac * src2(is,js+1,ks+2)
+ $ + f4*f4 * s2fac * src2(is,js+2,ks+2)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8111
+ goto 911
+
+c kernel
+ 8111 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is-1,js-1,ks-1, 4,4,4, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ res1 =
+ $ + f1*f1*f1 * s1fac * src1(is-1,js-1,ks-1)
+ $ + f2*f1*f1 * s1fac * src1(is ,js-1,ks-1)
+ $ + f3*f1*f1 * s1fac * src1(is+1,js-1,ks-1)
+ $ + f4*f1*f1 * s1fac * src1(is+2,js-1,ks-1)
+ $ + f1*f2*f1 * s1fac * src1(is-1,js ,ks-1)
+ $ + f2*f2*f1 * s1fac * src1(is ,js ,ks-1)
+ $ + f3*f2*f1 * s1fac * src1(is+1,js ,ks-1)
+ $ + f4*f2*f1 * s1fac * src1(is+2,js ,ks-1)
+ $ + f1*f3*f1 * s1fac * src1(is-1,js+1,ks-1)
+ $ + f2*f3*f1 * s1fac * src1(is ,js+1,ks-1)
+ $ + f3*f3*f1 * s1fac * src1(is+1,js+1,ks-1)
+ $ + f4*f3*f1 * s1fac * src1(is+2,js+1,ks-1)
+ $ + f1*f4*f1 * s1fac * src1(is-1,js+2,ks-1)
+ $ + f2*f4*f1 * s1fac * src1(is ,js+2,ks-1)
+ $ + f3*f4*f1 * s1fac * src1(is+1,js+2,ks-1)
+ $ + f4*f4*f1 * s1fac * src1(is+2,js+2,ks-1)
+ $
+ $ + f1*f1*f2 * s1fac * src1(is-1,js-1,ks )
+ $ + f2*f1*f2 * s1fac * src1(is ,js-1,ks )
+ $ + f3*f1*f2 * s1fac * src1(is+1,js-1,ks )
+ $ + f4*f1*f2 * s1fac * src1(is+2,js-1,ks )
+ $ + f1*f2*f2 * s1fac * src1(is-1,js ,ks )
+ $ + f2*f2*f2 * s1fac * src1(is ,js ,ks )
+ $ + f3*f2*f2 * s1fac * src1(is+1,js ,ks )
+ $ + f4*f2*f2 * s1fac * src1(is+2,js ,ks )
+ $ + f1*f3*f2 * s1fac * src1(is-1,js+1,ks )
+ $ + f2*f3*f2 * s1fac * src1(is ,js+1,ks )
+ $ + f3*f3*f2 * s1fac * src1(is+1,js+1,ks )
+ $ + f4*f3*f2 * s1fac * src1(is+2,js+1,ks )
+ $ + f1*f4*f2 * s1fac * src1(is-1,js+2,ks )
+ $ + f2*f4*f2 * s1fac * src1(is ,js+2,ks )
+ $ + f3*f4*f2 * s1fac * src1(is+1,js+2,ks )
+ $ + f4*f4*f2 * s1fac * src1(is+2,js+2,ks )
+ $
+ $ + f1*f1*f3 * s1fac * src1(is-1,js-1,ks+1)
+ $ + f2*f1*f3 * s1fac * src1(is ,js-1,ks+1)
+ $ + f3*f1*f3 * s1fac * src1(is+1,js-1,ks+1)
+ $ + f4*f1*f3 * s1fac * src1(is+2,js-1,ks+1)
+ $ + f1*f2*f3 * s1fac * src1(is-1,js ,ks+1)
+ $ + f2*f2*f3 * s1fac * src1(is ,js ,ks+1)
+ $ + f3*f2*f3 * s1fac * src1(is+1,js ,ks+1)
+ $ + f4*f2*f3 * s1fac * src1(is+2,js ,ks+1)
+ $ + f1*f3*f3 * s1fac * src1(is-1,js+1,ks+1)
+ $ + f2*f3*f3 * s1fac * src1(is ,js+1,ks+1)
+ $ + f3*f3*f3 * s1fac * src1(is+1,js+1,ks+1)
+ $ + f4*f3*f3 * s1fac * src1(is+2,js+1,ks+1)
+ $ + f1*f4*f3 * s1fac * src1(is-1,js+2,ks+1)
+ $ + f2*f4*f3 * s1fac * src1(is ,js+2,ks+1)
+ $ + f3*f4*f3 * s1fac * src1(is+1,js+2,ks+1)
+ $ + f4*f4*f3 * s1fac * src1(is+2,js+2,ks+1)
+ $
+ $ + f1*f1*f4 * s1fac * src1(is-1,js-1,ks+2)
+ $ + f2*f1*f4 * s1fac * src1(is ,js-1,ks+2)
+ $ + f3*f1*f4 * s1fac * src1(is+1,js-1,ks+2)
+ $ + f4*f1*f4 * s1fac * src1(is+2,js-1,ks+2)
+ $ + f1*f2*f4 * s1fac * src1(is-1,js ,ks+2)
+ $ + f2*f2*f4 * s1fac * src1(is ,js ,ks+2)
+ $ + f3*f2*f4 * s1fac * src1(is+1,js ,ks+2)
+ $ + f4*f2*f4 * s1fac * src1(is+2,js ,ks+2)
+ $ + f1*f3*f4 * s1fac * src1(is-1,js+1,ks+2)
+ $ + f2*f3*f4 * s1fac * src1(is ,js+1,ks+2)
+ $ + f3*f3*f4 * s1fac * src1(is+1,js+1,ks+2)
+ $ + f4*f3*f4 * s1fac * src1(is+2,js+1,ks+2)
+ $ + f1*f4*f4 * s1fac * src1(is-1,js+2,ks+2)
+ $ + f2*f4*f4 * s1fac * src1(is ,js+2,ks+2)
+ $ + f3*f4*f4 * s1fac * src1(is+1,js+2,ks+2)
+ $ + f4*f4*f4 * s1fac * src1(is+2,js+2,ks+2)
+ res2 =
+ $ + f1*f1*f1 * s2fac * src2(is-1,js-1,ks-1)
+ $ + f2*f1*f1 * s2fac * src2(is ,js-1,ks-1)
+ $ + f3*f1*f1 * s2fac * src2(is+1,js-1,ks-1)
+ $ + f4*f1*f1 * s2fac * src2(is+2,js-1,ks-1)
+ $ + f1*f2*f1 * s2fac * src2(is-1,js ,ks-1)
+ $ + f2*f2*f1 * s2fac * src2(is ,js ,ks-1)
+ $ + f3*f2*f1 * s2fac * src2(is+1,js ,ks-1)
+ $ + f4*f2*f1 * s2fac * src2(is+2,js ,ks-1)
+ $ + f1*f3*f1 * s2fac * src2(is-1,js+1,ks-1)
+ $ + f2*f3*f1 * s2fac * src2(is ,js+1,ks-1)
+ $ + f3*f3*f1 * s2fac * src2(is+1,js+1,ks-1)
+ $ + f4*f3*f1 * s2fac * src2(is+2,js+1,ks-1)
+ $ + f1*f4*f1 * s2fac * src2(is-1,js+2,ks-1)
+ $ + f2*f4*f1 * s2fac * src2(is ,js+2,ks-1)
+ $ + f3*f4*f1 * s2fac * src2(is+1,js+2,ks-1)
+ $ + f4*f4*f1 * s2fac * src2(is+2,js+2,ks-1)
+ $
+ $ + f1*f1*f2 * s2fac * src2(is-1,js-1,ks )
+ $ + f2*f1*f2 * s2fac * src2(is ,js-1,ks )
+ $ + f3*f1*f2 * s2fac * src2(is+1,js-1,ks )
+ $ + f4*f1*f2 * s2fac * src2(is+2,js-1,ks )
+ $ + f1*f2*f2 * s2fac * src2(is-1,js ,ks )
+ $ + f2*f2*f2 * s2fac * src2(is ,js ,ks )
+ $ + f3*f2*f2 * s2fac * src2(is+1,js ,ks )
+ $ + f4*f2*f2 * s2fac * src2(is+2,js ,ks )
+ $ + f1*f3*f2 * s2fac * src2(is-1,js+1,ks )
+ $ + f2*f3*f2 * s2fac * src2(is ,js+1,ks )
+ $ + f3*f3*f2 * s2fac * src2(is+1,js+1,ks )
+ $ + f4*f3*f2 * s2fac * src2(is+2,js+1,ks )
+ $ + f1*f4*f2 * s2fac * src2(is-1,js+2,ks )
+ $ + f2*f4*f2 * s2fac * src2(is ,js+2,ks )
+ $ + f3*f4*f2 * s2fac * src2(is+1,js+2,ks )
+ $ + f4*f4*f2 * s2fac * src2(is+2,js+2,ks )
+ $
+ $ + f1*f1*f3 * s2fac * src2(is-1,js-1,ks+1)
+ $ + f2*f1*f3 * s2fac * src2(is ,js-1,ks+1)
+ $ + f3*f1*f3 * s2fac * src2(is+1,js-1,ks+1)
+ $ + f4*f1*f3 * s2fac * src2(is+2,js-1,ks+1)
+ $ + f1*f2*f3 * s2fac * src2(is-1,js ,ks+1)
+ $ + f2*f2*f3 * s2fac * src2(is ,js ,ks+1)
+ $ + f3*f2*f3 * s2fac * src2(is+1,js ,ks+1)
+ $ + f4*f2*f3 * s2fac * src2(is+2,js ,ks+1)
+ $ + f1*f3*f3 * s2fac * src2(is-1,js+1,ks+1)
+ $ + f2*f3*f3 * s2fac * src2(is ,js+1,ks+1)
+ $ + f3*f3*f3 * s2fac * src2(is+1,js+1,ks+1)
+ $ + f4*f3*f3 * s2fac * src2(is+2,js+1,ks+1)
+ $ + f1*f4*f3 * s2fac * src2(is-1,js+2,ks+1)
+ $ + f2*f4*f3 * s2fac * src2(is ,js+2,ks+1)
+ $ + f3*f4*f3 * s2fac * src2(is+1,js+2,ks+1)
+ $ + f4*f4*f3 * s2fac * src2(is+2,js+2,ks+1)
+ $
+ $ + f1*f1*f4 * s2fac * src2(is-1,js-1,ks+2)
+ $ + f2*f1*f4 * s2fac * src2(is ,js-1,ks+2)
+ $ + f3*f1*f4 * s2fac * src2(is+1,js-1,ks+2)
+ $ + f4*f1*f4 * s2fac * src2(is+2,js-1,ks+2)
+ $ + f1*f2*f4 * s2fac * src2(is-1,js ,ks+2)
+ $ + f2*f2*f4 * s2fac * src2(is ,js ,ks+2)
+ $ + f3*f2*f4 * s2fac * src2(is+1,js ,ks+2)
+ $ + f4*f2*f4 * s2fac * src2(is+2,js ,ks+2)
+ $ + f1*f3*f4 * s2fac * src2(is-1,js+1,ks+2)
+ $ + f2*f3*f4 * s2fac * src2(is ,js+1,ks+2)
+ $ + f3*f3*f4 * s2fac * src2(is+1,js+1,ks+2)
+ $ + f4*f3*f4 * s2fac * src2(is+2,js+1,ks+2)
+ $ + f1*f4*f4 * s2fac * src2(is-1,js+2,ks+2)
+ $ + f2*f4*f4 * s2fac * src2(is ,js+2,ks+2)
+ $ + f3*f4*f4 * s2fac * src2(is+1,js+2,ks+2)
+ $ + f4*f4*f4 * s2fac * src2(is+2,js+2,ks+2)
+ dst(id,jd,kd) = res1 + res2
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8110
+ goto 911
+
+c end i loop
+ 911 continue
+ j = j+1
+ jd = jd+1
+ js = js+1
+ if (j.lt.regjext) goto 810
+ goto 91
+
+c end j loop
+ 91 continue
+ k = k+1
+ kd = kd+1
+ ks = ks+1
+ if (k.lt.regkext) goto 80
+ goto 9
+
+c end k loop
+ 9 continue
+
+ end
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_o5.F77 b/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_o5.F77
new file mode 100644
index 000000000..e28354048
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_o5.F77
@@ -0,0 +1,226 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_o5.F77,v 1.3 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+
+
+
+#define CHKIDX(i,j,k, imax,jmax,kmax, where) \
+ if ((i).lt.1 .or. (i).gt.(imax) \
+ .or. (j).lt.1 .or. (j).gt.(jmax) \
+ .or. (k).lt.1 .or. (k).gt.(kmax)) then &&\
+ write (msg, '(a, " array index out of bounds: shape is (",i4,",",i4,",",i4,"), index is (",i4,",",i4,",",i4,")")') \
+ (where), (imax), (jmax), (kmax), (i), (j), (k) &&\
+ call CCTK_WARN (0, msg(1:len_trim(msg))) &&\
+ end if
+
+
+
+ subroutine prolongate_3d_real8_2tl_o5 (
+ $ src1, t1, src2, t2, srciext, srcjext, srckext,
+ $ dst, t, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ CCTK_REAL8 one
+ parameter (one = 1)
+
+ CCTK_REAL8 eps
+ parameter (eps = 1.0d-10)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src1(srciext,srcjext,srckext)
+ CCTK_REAL8 t1
+ CCTK_REAL8 src2(srciext,srcjext,srckext)
+ CCTK_REAL8 t2
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+ CCTK_REAL8 t
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer offsetlo, offsethi
+
+ integer regiext, regjext, regkext
+
+ integer dstifac, dstjfac, dstkfac
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ CCTK_REAL8 s1fac, s2fac, s3fac
+
+ CCTK_REAL8 dstdiv
+ integer i, j, k
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer ifac(6), jfac(6), kfac(6)
+ integer ii, jj, kk
+ CCTK_REAL8 fac
+ CCTK_REAL8 res
+ integer d
+
+ character msg*1000
+
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (mod(srcbbox(d,3), dstbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: destination strides are not integer multiples of the source strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ regkext = (regbbox(d,2) - regbbox(d,1)) / regbbox(d,3) + 1
+ dstkfac = srcbbox(d,3) / dstbbox(d,3)
+ srckoff = (regbbox(d,1) - srcbbox(d,1)) / dstbbox(d,3)
+ offsetlo = regbbox(d,3)
+ if (mod(srckoff + 0, dstkfac).eq.0) then
+ offsetlo = 0
+ if (regkext.gt.1) then
+ offsetlo = regbbox(d,3)
+ end if
+ end if
+ offsethi = regbbox(d,3)
+ if (mod(srckoff + regkext-1, dstkfac).eq.0) then
+ offsethi = 0
+ if (regkext.gt.1) then
+ offsethi = regbbox(d,3)
+ end if
+ end if
+ if (regbbox(d,1)-offsetlo.lt.srcbbox(d,1)
+ $ .or. regbbox(d,2)+offsethi.gt.srcbbox(d,2)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ dstifac = srcbbox(1,3) / dstbbox(1,3)
+ dstjfac = srcbbox(2,3) / dstbbox(2,3)
+ dstkfac = srcbbox(3,3) / dstbbox(3,3)
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Linear (first order) interpolation
+ if (t1.eq.t2) then
+ call CCTK_WARN (0, "Internal error: arrays have same time")
+ end if
+ if (t.lt.min(t1,t2)-eps .or. t.gt.max(t1,t2)+eps) then
+ call CCTK_WARN (0, "Internal error: extrapolation in time")
+ end if
+
+ s1fac = (t - t2) / (t1 - t2)
+ s2fac = (t - t1) / (t2 - t1)
+
+
+
+c Loop over fine region
+c (This expression cannot be evaluated as integer)
+ dstdiv = one / (120*dstifac**5) / (120*dstjfac**5) / (120*dstkfac**5)
+
+ do k = 0, regkext-1
+ k0 = (srckoff + k) / dstkfac
+ fk = mod(srckoff + k, dstkfac)
+ kfac(1) = (fk+ dstkfac) * (fk ) * (fk-dstkfac) * (fk-2*dstkfac) * (fk-3*dstkfac) * (- 1)
+ kfac(2) = (fk+2*dstkfac) * (fk ) * (fk-dstkfac) * (fk-2*dstkfac) * (fk-3*dstkfac) * ( 5)
+ kfac(3) = (fk+2*dstkfac) * (fk+dstkfac) * (fk-dstkfac) * (fk-2*dstkfac) * (fk-3*dstkfac) * (-10)
+ kfac(4) = (fk+2*dstkfac) * (fk+dstkfac) * (fk ) * (fk-2*dstkfac) * (fk-3*dstkfac) * ( 10)
+ kfac(5) = (fk+2*dstkfac) * (fk+dstkfac) * (fk ) * (fk- dstkfac) * (fk-3*dstkfac) * (- 5)
+ kfac(6) = (fk+2*dstkfac) * (fk+dstkfac) * (fk ) * (fk- dstkfac) * (fk-2*dstkfac) * ( 1)
+
+ do j = 0, regjext-1
+ j0 = (srcjoff + j) / dstjfac
+ fj = mod(srcjoff + j, dstjfac)
+ jfac(1) = (fj+ dstjfac) * (fj ) * (fj-dstjfac) * (fj-2*dstjfac) * (fj-3*dstjfac) * (- 1)
+ jfac(2) = (fj+2*dstjfac) * (fj ) * (fj-dstjfac) * (fj-2*dstjfac) * (fj-3*dstjfac) * ( 5)
+ jfac(3) = (fj+2*dstjfac) * (fj+dstjfac) * (fj-dstjfac) * (fj-2*dstjfac) * (fj-3*dstjfac) * (-10)
+ jfac(4) = (fj+2*dstjfac) * (fj+dstjfac) * (fj ) * (fj-2*dstjfac) * (fj-3*dstjfac) * ( 10)
+ jfac(5) = (fj+2*dstjfac) * (fj+dstjfac) * (fj ) * (fj- dstjfac) * (fj-3*dstjfac) * (- 5)
+ jfac(6) = (fj+2*dstjfac) * (fj+dstjfac) * (fj ) * (fj- dstjfac) * (fj-2*dstjfac) * ( 1)
+
+ do i = 0, regiext-1
+ i0 = (srcioff + i) / dstifac
+ fi = mod(srcioff + i, dstifac)
+ ifac(1) = (fi+ dstifac) * (fi ) * (fi-dstifac) * (fi-2*dstifac) * (fi-3*dstifac) * (- 1)
+ ifac(2) = (fi+2*dstifac) * (fi ) * (fi-dstifac) * (fi-2*dstifac) * (fi-3*dstifac) * ( 5)
+ ifac(3) = (fi+2*dstifac) * (fi+dstifac) * (fi-dstifac) * (fi-2*dstifac) * (fi-3*dstifac) * (-10)
+ ifac(4) = (fi+2*dstifac) * (fi+dstifac) * (fi ) * (fi-2*dstifac) * (fi-3*dstifac) * ( 10)
+ ifac(5) = (fi+2*dstifac) * (fi+dstifac) * (fi ) * (fi- dstifac) * (fi-3*dstifac) * (- 5)
+ ifac(6) = (fi+2*dstifac) * (fi+dstifac) * (fi ) * (fi- dstifac) * (fi-2*dstifac) * ( 1)
+
+ res = 0
+
+ do kk=1,6
+ do jj=1,6
+ do ii=1,6
+
+ if (ifac(ii).ne.0 .and. jfac(jj).ne.0 .and. kfac(kk).ne.0) then
+c (This expression cannot be evaluated as integer)
+ fac = one * ifac(ii) * jfac(jj) * kfac(kk)
+
+ CHKIDX (i0+ii-2, j0+jj-2, k0+kk-2, \
+ srciext,srcjext,srckext, "source")
+ res = res
+ $ + fac * s1fac * src1(i0+ii-2, j0+jj-2, k0+kk-2)
+ $ + fac * s2fac * src2(i0+ii-2, j0+jj-2, k0+kk-2)
+ end if
+
+ end do
+ end do
+ end do
+
+ CHKIDX (dstioff+i+1, dstjoff+j+1, dstkoff+k+1, \
+ dstiext,dstjext,dstkext, "destination")
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = dstdiv * res
+
+ end do
+ end do
+ end do
+
+ end
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_rf2.F77 b/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_rf2.F77
new file mode 100644
index 000000000..727c2581f
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_rf2.F77
@@ -0,0 +1,402 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_2tl_rf2.F77,v 1.2 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+
+
+ subroutine prolongate_3d_real8_2tl_rf2 (
+ $ src1, t1, src2, t2, srciext, srcjext, srckext,
+ $ dst, t, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ DECLARE_CCTK_PARAMETERS
+
+ CCTK_REAL8 eps
+ parameter (eps = 1.0d-10)
+
+ CCTK_REAL8 one, half, fourth, eighth
+ parameter (one = 1)
+ parameter (half = one/2)
+ parameter (fourth = one/4)
+ parameter (eighth = one/8)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src1(srciext,srcjext,srckext)
+ CCTK_REAL8 t1
+ CCTK_REAL8 src2(srciext,srcjext,srckext)
+ CCTK_REAL8 t2
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+ CCTK_REAL8 t
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer regiext, regjext, regkext
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ CCTK_REAL8 s1fac, s2fac
+
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer is, js, ks
+ integer id, jd, kd
+ integer i, j, k
+
+ integer d
+
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (srcbbox(d,3).ne.dstbbox(d,3)*2) then
+ call CCTK_WARN (0, "Internal error: source strides are not twice the destination strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).lt.srcbbox(d,1)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.srcbbox(d,2)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Quadratic (second order) time interpolation
+ if (t1.eq.t2) then
+ call CCTK_WARN (0, "Internal error: arrays have same time")
+ end if
+ if (t.lt.min(t1,t2)-eps .or. t.gt.max(t1,t2)+eps) then
+ call CCTK_WARN (0, "Internal error: extrapolation in time")
+ end if
+
+ s1fac = (t - t2) / (t1 - t2)
+ s2fac = (t - t1) / (t2 - t1)
+
+
+
+ fi = mod(srcioff, 2)
+ fj = mod(srcjoff, 2)
+ fk = mod(srckoff, 2)
+
+ i0 = srcioff / 2
+ j0 = srcjoff / 2
+ k0 = srckoff / 2
+
+
+
+c Loop over fine region
+c Label scheme: 8 fk fj fi
+
+c begin k loop
+ 8 continue
+ k = 0
+ ks = k0+1
+ kd = dstkoff+1
+ if (fk.eq.0) goto 80
+ if (fk.eq.1) goto 81
+ stop
+
+c begin j loop
+ 80 continue
+ j = 0
+ js = j0+1
+ jd = dstjoff+1
+ if (fj.eq.0) goto 800
+ if (fj.eq.1) goto 801
+ stop
+
+c begin i loop
+ 800 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8000
+ if (fi.eq.1) goto 8001
+ stop
+
+c kernel
+ 8000 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 1,1,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + s1fac * src1(is,js,ks)
+ $ + s2fac * src2(is,js,ks)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8001
+ goto 900
+
+c kernel
+ 8001 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 2,1,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + half * s1fac * src1(is,js,ks) + half * s1fac * src1(is+1,js,ks)
+ $ + half * s2fac * src2(is,js,ks) + half * s2fac * src2(is+1,js,ks)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8000
+ goto 900
+
+c end i loop
+ 900 continue
+ j = j+1
+ jd = jd+1
+ if (j.lt.regjext) goto 801
+ goto 90
+
+c begin i loop
+ 801 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8010
+ if (fi.eq.1) goto 8011
+ stop
+
+c kernel
+ 8010 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 1,2,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + half * s1fac * src1(is,js,ks) + half * s1fac * src1(is,js+1,ks)
+ $ + half * s2fac * src2(is,js,ks) + half * s2fac * src2(is,js+1,ks)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8011
+ goto 901
+
+c kernel
+ 8011 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 2,2,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + fourth * s1fac * src1(is,js,ks)
+ $ + fourth * s1fac * src1(is+1,js,ks)
+ $ + fourth * s1fac * src1(is,js+1,ks)
+ $ + fourth * s1fac * src1(is+1,js+1,ks)
+ $ + fourth * s2fac * src2(is,js,ks)
+ $ + fourth * s2fac * src2(is+1,js,ks)
+ $ + fourth * s2fac * src2(is,js+1,ks)
+ $ + fourth * s2fac * src2(is+1,js+1,ks)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8010
+ goto 901
+
+c end i loop
+ 901 continue
+ j = j+1
+ jd = jd+1
+ js = js+1
+ if (j.lt.regjext) goto 800
+ goto 90
+
+c end j loop
+ 90 continue
+ k = k+1
+ kd = kd+1
+ if (k.lt.regkext) goto 81
+ goto 9
+
+c begin j loop
+ 81 continue
+ j = 0
+ js = j0+1
+ jd = dstjoff+1
+ if (fj.eq.0) goto 810
+ if (fj.eq.1) goto 811
+ stop
+
+c begin i loop
+ 810 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8100
+ if (fi.eq.1) goto 8101
+ stop
+
+c kernel
+ 8100 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 1,1,2, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + half * s1fac * src1(is,js,ks) + half * s1fac * src1(is,js,ks+1)
+ $ + half * s2fac * src2(is,js,ks) + half * s2fac * src2(is,js,ks+1)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8101
+ goto 910
+
+c kernel
+ 8101 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 2,1,2, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + fourth * s1fac * src1(is,js,ks)
+ $ + fourth * s1fac * src1(is+1,js,ks)
+ $ + fourth * s1fac * src1(is,js,ks+1)
+ $ + fourth * s1fac * src1(is+1,js,ks+1)
+ $ + fourth * s2fac * src1(is,js,ks)
+ $ + fourth * s2fac * src2(is+1,js,ks)
+ $ + fourth * s2fac * src2(is,js,ks+1)
+ $ + fourth * s2fac * src2(is+1,js,ks+1)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8100
+ goto 910
+
+c end i loop
+ 910 continue
+ j = j+1
+ jd = jd+1
+ if (j.lt.regjext) goto 811
+ goto 91
+
+c begin i loop
+ 811 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8110
+ if (fi.eq.1) goto 8111
+ stop
+
+c kernel
+ 8110 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 1,2,2, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + fourth * s1fac * src1(is,js,ks)
+ $ + fourth * s1fac * src1(is,js+1,ks)
+ $ + fourth * s1fac * src1(is,js,ks+1)
+ $ + fourth * s1fac * src1(is,js+1,ks+1)
+ $ + fourth * s2fac * src2(is,js,ks)
+ $ + fourth * s2fac * src2(is,js+1,ks)
+ $ + fourth * s2fac * src2(is,js,ks+1)
+ $ + fourth * s2fac * src2(is,js+1,ks+1)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8111
+ goto 911
+
+c kernel
+ 8111 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 2,2,2, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + eighth * s1fac * src1(is,js,ks)
+ $ + eighth * s1fac * src1(is+1,js,ks)
+ $ + eighth * s1fac * src1(is,js+1,ks)
+ $ + eighth * s1fac * src1(is+1,js+1,ks)
+ $ + eighth * s1fac * src1(is,js,ks+1)
+ $ + eighth * s1fac * src1(is+1,js,ks+1)
+ $ + eighth * s1fac * src1(is,js+1,ks+1)
+ $ + eighth * s1fac * src1(is+1,js+1,ks+1)
+ $
+ $ + eighth * s2fac * src2(is,js,ks)
+ $ + eighth * s2fac * src2(is+1,js,ks)
+ $ + eighth * s2fac * src2(is,js+1,ks)
+ $ + eighth * s2fac * src2(is+1,js+1,ks)
+ $ + eighth * s2fac * src2(is,js,ks+1)
+ $ + eighth * s2fac * src2(is+1,js,ks+1)
+ $ + eighth * s2fac * src2(is,js+1,ks+1)
+ $ + eighth * s2fac * src2(is+1,js+1,ks+1)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8110
+ goto 911
+
+c end i loop
+ 911 continue
+ j = j+1
+ jd = jd+1
+ js = js+1
+ if (j.lt.regjext) goto 810
+ goto 91
+
+c end j loop
+ 91 continue
+ k = k+1
+ kd = kd+1
+ ks = ks+1
+ if (k.lt.regkext) goto 80
+ goto 9
+
+c end k loop
+ 9 continue
+
+ end
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_3tl.F77 b/Carpet/CarpetLib/src/prolongate_3d_real8_3tl.F77
new file mode 100644
index 000000000..9f3e3d944
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8_3tl.F77
@@ -0,0 +1,197 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_3tl.F77,v 1.9 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+
+
+
+#define CHKIDX(i,j,k, imax,jmax,kmax, where) \
+ if ((i).lt.1 .or. (i).gt.(imax) \
+ .or. (j).lt.1 .or. (j).gt.(jmax) \
+ .or. (k).lt.1 .or. (k).gt.(kmax)) then &&\
+ write (msg, '(a, " array index out of bounds: shape is (",i4,",",i4,",",i4,"), index is (",i4,",",i4,",",i4,")")') \
+ (where), (imax), (jmax), (kmax), (i), (j), (k) &&\
+ call CCTK_WARN (0, msg(1:len_trim(msg))) &&\
+ end if
+
+
+
+ subroutine prolongate_3d_real8_3tl (
+ $ src1, t1, src2, t2, src3, t3, srciext, srcjext, srckext,
+ $ dst, t, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ CCTK_REAL8 one
+ parameter (one = 1)
+
+ CCTK_REAL8 eps
+ parameter (eps = 1.0d-10)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src1(srciext,srcjext,srckext)
+ CCTK_REAL8 t1
+ CCTK_REAL8 src2(srciext,srcjext,srckext)
+ CCTK_REAL8 t2
+ CCTK_REAL8 src3(srciext,srcjext,srckext)
+ CCTK_REAL8 t3
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+ CCTK_REAL8 t
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer regiext, regjext, regkext
+
+ integer dstifac, dstjfac, dstkfac
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ CCTK_REAL8 s1fac, s2fac, s3fac
+
+ CCTK_REAL8 dstdiv
+ integer i, j, k
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer ifac(2), jfac(2), kfac(2)
+ integer ii, jj, kk
+ integer fac
+ CCTK_REAL8 res
+ integer d
+
+ character msg*1000
+
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (mod(srcbbox(d,3), dstbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: destination strides are not integer multiples of the source strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).lt.srcbbox(d,1)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.srcbbox(d,2)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ dstifac = srcbbox(1,3) / dstbbox(1,3)
+ dstjfac = srcbbox(2,3) / dstbbox(2,3)
+ dstkfac = srcbbox(3,3) / dstbbox(3,3)
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Quadratic (second order) interpolation
+ if (t1.eq.t2 .or. t1.eq.t3 .or. t2.eq.t3) then
+ call CCTK_WARN (0, "Internal error: arrays have same time")
+ end if
+ if (t.lt.min(t1,t2,t3)-eps .or. t.gt.max(t1,t2,t3)+eps) then
+ call CCTK_WARN (0, "Internal error: extrapolation in time")
+ end if
+
+ s1fac = (t - t2) * (t - t3) / ((t1 - t2) * (t1 - t3))
+ s2fac = (t - t1) * (t - t3) / ((t2 - t1) * (t2 - t3))
+ s3fac = (t - t1) * (t - t2) / ((t3 - t1) * (t3 - t2))
+
+
+
+c Loop over fine region
+ dstdiv = one / (dstifac * dstjfac * dstkfac)
+
+ do k = 0, regkext-1
+ k0 = (srckoff + k) / dstkfac
+ fk = mod(srckoff + k, dstkfac)
+ kfac(1) = (fk-dstkfac) * (-1)
+ kfac(2) = (fk ) * 1
+
+ do j = 0, regjext-1
+ j0 = (srcjoff + j) / dstjfac
+ fj = mod(srcjoff + j, dstjfac)
+ jfac(1) = (fj-dstjfac) * (-1)
+ jfac(2) = (fj ) * 1
+
+ do i = 0, regiext-1
+ i0 = (srcioff + i) / dstifac
+ fi = mod(srcioff + i, dstifac)
+ ifac(1) = (fi-dstifac) * (-1)
+ ifac(2) = (fi ) * 1
+
+ res = 0
+
+ do kk=1,2
+ do jj=1,2
+ do ii=1,2
+
+ fac = ifac(ii) * jfac(jj) * kfac(kk)
+
+ if (fac.ne.0) then
+ CHKIDX (i0+ii, j0+jj, k0+kk, \
+ srciext,srcjext,srckext, "source")
+ res = res
+ $ + fac * s1fac * src1(i0+ii, j0+jj, k0+kk)
+ $ + fac * s2fac * src2(i0+ii, j0+jj, k0+kk)
+ $ + fac * s3fac * src3(i0+ii, j0+jj, k0+kk)
+ end if
+
+ end do
+ end do
+ end do
+
+ CHKIDX (dstioff+i+1, dstjoff+j+1, dstkoff+k+1, \
+ dstiext,dstjext,dstkext, "destination")
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = dstdiv * res
+
+ end do
+ end do
+ end do
+
+ end
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_eno.F90 b/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_eno.F90
new file mode 100644
index 000000000..df253af97
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_eno.F90
@@ -0,0 +1,370 @@
+!!$ $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_eno.F90,v 1.1 2004/03/03 15:30:40 hawke Exp $
+
+#include "cctk.h"
+
+
+!!$ This routine performs "ENO" prolongation. It is intended to be used
+!!$ with GFs that are not expected to be smooth, particularly those
+!!$ that must also obey certain constraints. The obvious example is the
+!!$ density in hydrodynamics, which may be discontinuous yet must be
+!!$ strictly positive.
+!!$
+!!$ To ensure that this prolongation method is used you should add the
+!!$ tag
+!!$
+!!$ tags='Prolongation="ENO"'
+!!$
+!!$ to the interface.ccl on the appropriate group.
+!!$
+!!$ This applies ENO2 type limiting to the slope, checking over the
+!!$ entire coarse grid cell for the least oscillatory quadratic in each
+!!$ direction. If the slope changes sign over the extrema, linear
+!!$ interpolation is used instead.
+!!$
+!!$ The actual eno1d function is defined in the routine
+!!$
+!!$ prolongate_3d_real8_eno.F77
+
+
+#define CHKIDX(i,j,k, imax,jmax,kmax, where) \
+if ((i).lt.1 .or. (i).gt.(imax) \
+ .or. (j).lt.1 .or. (j).gt.(jmax) \
+ .or. (k).lt.1 .or. (k).gt.(kmax)) then &&\
+ write (msg, '(a, " array index out of bounds: shape is (",i4,",",i4,",",i4,"), index is (",i4,",",i4,",",i4,")")') \
+ (where), (imax), (jmax), (kmax), (i), (j), (k) &&\
+ call CCTK_WARN (0, msg(1:len_trim(msg))) &&\
+end if
+
+subroutine prolongate_3d_real8_3tl_eno (src1, t1, src2, t2, &
+ src3, t3, srciext, srcjext, srckext, dst, t, dstiext, &
+ dstjext, dstkext, srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ CCTK_REAL8 one
+ parameter (one = 1)
+
+ CCTK_REAL8 eps
+ parameter (eps = 1.0d-10)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src1(srciext,srcjext,srckext)
+ CCTK_REAL8 t1
+ CCTK_REAL8 src2(srciext,srcjext,srckext)
+ CCTK_REAL8 t2
+ CCTK_REAL8 src3(srciext,srcjext,srckext)
+ CCTK_REAL8 t3
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+ CCTK_REAL8 t
+!!$ bbox(:,1) is lower boundary (inclusive)
+!!$ bbox(:,2) is upper boundary (inclusive)
+!!$ bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer offsetlo, offsethi
+
+ integer regiext, regjext, regkext
+
+ integer dstifac, dstjfac, dstkfac
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ CCTK_REAL8 s1fac, s2fac, s3fac, tmps1fac, tmps2fac, tmps3fac
+
+ integer i, j, k
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer ifac(4), jfac(4), kfac(4)
+ integer ii, jj, kk
+ integer fac
+ CCTK_REAL8 res
+ integer d
+
+ character msg*1000
+
+ CCTK_REAL8, dimension(0:3,0:3) :: tmp1
+ CCTK_REAL8, dimension(0:3) :: tmp2
+ CCTK_REAL8 :: dsttmp1, dsttmp2, dsttmp3
+
+ external eno1d
+ CCTK_REAL8 eno1d
+
+ CCTK_REAL8 half, zero
+ parameter (half = 0.5)
+ parameter (zero = 0)
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0 &
+ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3) &
+ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (mod(srcbbox(d,3), dstbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: destination strides are not integer multiples of the source strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0 &
+ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0 &
+ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+!!$ This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ regkext = (regbbox(d,2) - regbbox(d,1)) / regbbox(d,3) + 1
+ dstkfac = srcbbox(d,3) / dstbbox(d,3)
+ srckoff = (regbbox(d,1) - srcbbox(d,1)) / dstbbox(d,3)
+ offsetlo = regbbox(d,3)
+ if (mod(srckoff + 0, dstkfac).eq.0) then
+ offsetlo = 0
+ if (regkext.gt.1) then
+ offsetlo = regbbox(d,3)
+ end if
+ end if
+ offsethi = regbbox(d,3)
+ if (mod(srckoff + regkext-1, dstkfac).eq.0) then
+ offsethi = 0
+ if (regkext.gt.1) then
+ offsethi = regbbox(d,3)
+ end if
+ end if
+ if (regbbox(d,1)-offsetlo.lt.srcbbox(d,1) &
+ .or. regbbox(d,2)+offsethi.gt.srcbbox(d,2) &
+ .or. regbbox(d,1).lt.dstbbox(d,1) &
+ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1 &
+ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1 &
+ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1 &
+ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1 &
+ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1 &
+ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ dstifac = srcbbox(1,3) / dstbbox(1,3)
+ dstjfac = srcbbox(2,3) / dstbbox(2,3)
+ dstkfac = srcbbox(3,3) / dstbbox(3,3)
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+!!$ Quadratic (second order) interpolation
+ if (t1.eq.t2 .or. t1.eq.t3 .or. t2.eq.t3) then
+ call CCTK_WARN (0, "Internal error: arrays have same time")
+ end if
+ if (t.lt.min(t1,t2,t3)-eps .or. t.gt.max(t1,t2,t3)+eps) then
+ call CCTK_WARN (0, "Internal error: extrapolation in time")
+ end if
+
+ s1fac = (t - t2) * (t - t3) / ((t1 - t2) * (t1 - t3))
+ s2fac = (t - t1) * (t - t3) / ((t2 - t1) * (t2 - t3))
+ s3fac = (t - t1) * (t - t2) / ((t3 - t1) * (t3 - t2))
+
+!!$ Loop over fine region
+
+ do k = 0, regkext-1
+ k0 = (srckoff + k) / dstkfac
+ fk = mod(srckoff + k, dstkfac)
+
+ do j = 0, regjext-1
+ j0 = (srcjoff + j) / dstjfac
+ fj = mod(srcjoff + j, dstjfac)
+
+ do i = 0, regiext-1
+ i0 = (srcioff + i) / dstifac
+ fi = mod(srcioff + i, dstifac)
+
+!!$ Where is the fine grid point w.r.t the coarse grid?
+
+!!$ write(*,*) i,j,k,fi,fj,fk
+
+ select case (fi + 10*fj + 100*fk)
+ case (0)
+!!$ On a coarse grid point exactly!
+
+ dsttmp1 = src1(i0+1,j0+1,k0+1)
+ dsttmp2 = src2(i0+1,j0+1,k0+1)
+ dsttmp3 = src3(i0+1,j0+1,k0+1)
+
+ case (1)
+!!$ Interpolate only in x
+
+ dsttmp1 = eno1d(src1(i0:i0+3,j0+1,k0+1))
+ dsttmp2 = eno1d(src2(i0:i0+3,j0+1,k0+1))
+ dsttmp3 = eno1d(src3(i0:i0+3,j0+1,k0+1))
+
+ case (10)
+!!$ Interpolate only in y
+
+ dsttmp1 = eno1d(src1(i0+1,j0:j0+3,k0+1))
+ dsttmp2 = eno1d(src2(i0+1,j0:j0+3,k0+1))
+ dsttmp3 = eno1d(src3(i0+1,j0:j0+3,k0+1))
+
+ case (11)
+!!$ Interpolate only in x and y
+
+ do jj = 0, 3
+ tmp2(jj) = eno1d(src1(i0:i0+3,j0+jj,k0+1))
+ end do
+
+ dsttmp1 = eno1d(tmp2(0:3))
+
+ do jj = 0, 3
+ tmp2(jj) = eno1d(src2(i0:i0+3,j0+jj,k0+1))
+ end do
+
+ dsttmp2 = eno1d(tmp2(0:3))
+
+ do jj = 0, 3
+ tmp2(jj) = eno1d(src3(i0:i0+3,j0+jj,k0+1))
+ end do
+
+ dsttmp3 = eno1d(tmp2(0:3))
+
+ case (100)
+!!$ Interpolate only in z
+
+ dsttmp1 = eno1d(src1(i0+1,j0+1,k0:k0+3))
+ dsttmp2 = eno1d(src2(i0+1,j0+1,k0:k0+3))
+ dsttmp3 = eno1d(src3(i0+1,j0+1,k0:k0+3))
+
+ case (101)
+!!$ Interpolate only in x and z
+
+ do kk = 0, 3
+ tmp2(kk) = eno1d(src1(i0:i0+3,j0+1,k0+kk))
+ end do
+
+ dsttmp1 = eno1d(tmp2(0:3))
+
+ do kk = 0, 3
+ tmp2(kk) = eno1d(src2(i0:i0+3,j0+1,k0+kk))
+ end do
+
+ dsttmp2 = eno1d(tmp2(0:3))
+
+ do kk = 0, 3
+ tmp2(kk) = eno1d(src3(i0:i0+3,j0+1,k0+kk))
+ end do
+
+ dsttmp3 = eno1d(tmp2(0:3))
+
+ case (110)
+!!$ Interpolate only in y and z
+
+ do kk = 0, 3
+ tmp2(kk) = eno1d(src1(i0+1,j0:j0+3,k0+kk))
+ end do
+
+ dsttmp1 = eno1d(tmp2(0:3))
+
+ do kk = 0, 3
+ tmp2(kk) = eno1d(src2(i0+1,j0:j0+3,k0+kk))
+ end do
+
+ dsttmp2 = eno1d(tmp2(0:3))
+
+ do kk = 0, 3
+ tmp2(kk) = eno1d(src3(i0+1,j0:j0+3,k0+kk))
+ end do
+
+ dsttmp3 = eno1d(tmp2(0:3))
+
+ case (111)
+!!$ Interpolate in all of x, y, and z
+
+ do jj = 0, 3
+ do kk = 0, 3
+ tmp1(jj,kk) = eno1d(src1(i0:i0+3,j0+jj,k0+kk))
+ end do
+ end do
+ do ii = 0, 3
+ tmp2(ii) = eno1d(tmp1(0:3,ii))
+ end do
+
+ dsttmp1 = eno1d(tmp2(0:3))
+
+ do jj = 0, 3
+ do kk = 0, 3
+ tmp1(jj,kk) = eno1d(src2(i0:i0+3,j0+jj,k0+kk))
+ end do
+ end do
+ do ii = 0, 3
+ tmp2(ii) = eno1d(tmp1(0:3,ii))
+ end do
+
+ dsttmp2 = eno1d(tmp2(0:3))
+
+ do jj = 0, 3
+ do kk = 0, 3
+ tmp1(jj,kk) = eno1d(src3(i0:i0+3,j0+jj,k0+kk))
+ end do
+ end do
+ do ii = 0, 3
+ tmp2(ii) = eno1d(tmp1(0:3,ii))
+ end do
+
+ dsttmp3 = eno1d(tmp2(0:3))
+
+ case default
+ call CCTK_WARN(0, "Internal error in ENO prolongation. Should only be used with refinement factor 2!")
+ end select
+
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = &
+ s1fac * dsttmp1 + s2fac * dsttmp2 + s3fac * dsttmp3
+
+!!$ write(*,*) i,j,k,dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1),&
+!!$ s1fac,s2fac,s3fac,dsttmp1,dsttmp2,dsttmp3
+
+ if ( (dst(dstioff+i+1, dstjoff+j+1, dstkoff+k+1) - &
+ max(dsttmp1, dsttmp2, dsttmp3)) * &
+ (dst(dstioff+i+1, dstjoff+j+1, dstkoff+k+1) - &
+ min(dsttmp1, dsttmp2, dsttmp3)) .lt. 0 ) then
+
+!!$ Do linear interpolation in time instead
+
+!!$ write(*,*) t,t1,t2,t3
+
+ if (t < t2) then
+
+ tmps2fac = (t - t3) / (t2 - t3)
+ tmps3fac = (t - t2) / (t3 - t2)
+
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = &
+ tmps2fac * dsttmp2 + tmps3fac * dsttmp3
+
+ else
+
+ tmps1fac = (t - t2) / (t1 - t2)
+ tmps2fac = (t - t1) / (t2 - t1)
+
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = &
+ tmps1fac * dsttmp1 + tmps2fac * dsttmp2
+
+ end if
+
+ end if
+
+ end do
+ end do
+ end do
+
+end subroutine prolongate_3d_real8_3tl_eno
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_minmod.F77 b/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_minmod.F77
new file mode 100644
index 000000000..9018a364b
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_minmod.F77
@@ -0,0 +1,388 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_minmod.F77,v 1.6 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+
+
+c$$$ This routine performs "TVD" prolongation. It is intended to be used
+c$$$ with GFs that are not expected to be smooth, particularly those
+c$$$ that must also obey certain constraints. The obvious example is the
+c$$$ density in hydrodynamics, which may be discontinuous yet must be
+c$$$ strictly positive.
+c$$$
+c$$$ To ensure that this prolongation method is used you should add the
+c$$$ tag
+c$$$
+c$$$ tags='Prolongation="TVD"'
+c$$$
+c$$$ to the interface.ccl on the appropriate group.
+c$$$
+c$$$ This applies minmod type limiting to the slope, checking over the
+c$$$ entire coarse grid cell for the minimum modulus in each direction.
+c$$$
+c$$$ The actual minmod function is defined in the routine
+c$$$
+c$$$ prolongate_3d_real8_minmod.F77
+
+
+#define CHKIDX(i,j,k, imax,jmax,kmax, where) \
+ if ((i).lt.1 .or. (i).gt.(imax) \
+ .or. (j).lt.1 .or. (j).gt.(jmax) \
+ .or. (k).lt.1 .or. (k).gt.(kmax)) then &&\
+ write (msg, '(a, " array index out of bounds: shape is (",i4,",",i4,",",i4,"), index is (",i4,",",i4,",",i4,")")') \
+ (where), (imax), (jmax), (kmax), (i), (j), (k) &&\
+ call CCTK_WARN (0, msg(1:len_trim(msg))) &&\
+ end if
+
+
+
+ subroutine prolongate_3d_real8_3tl_minmod (
+ $ src1, t1, src2, t2, src3, t3, srciext, srcjext, srckext,
+ $ dst, t, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ CCTK_REAL8 one
+ parameter (one = 1)
+
+ CCTK_REAL8 eps
+ parameter (eps = 1.0d-10)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src1(srciext,srcjext,srckext)
+ CCTK_REAL8 t1
+ CCTK_REAL8 src2(srciext,srcjext,srckext)
+ CCTK_REAL8 t2
+ CCTK_REAL8 src3(srciext,srcjext,srckext)
+ CCTK_REAL8 t3
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+ CCTK_REAL8 t
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer offsetlo, offsethi
+
+ integer regiext, regjext, regkext
+
+ integer dstifac, dstjfac, dstkfac
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ CCTK_REAL8 s1fac, s2fac, s3fac
+
+ CCTK_REAL8 dstdiv
+ integer i, j, k
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer ifac(4), jfac(4), kfac(4)
+ integer ii, jj, kk
+ integer fac
+ CCTK_REAL8 res
+ integer d
+
+ character msg*1000
+
+ external minmod
+ CCTK_REAL8 minmod
+
+ CCTK_REAL8 half, zero
+ parameter (half = 0.5)
+ parameter (zero = 0)
+ CCTK_REAL8 dupw, dloc, slopex(3), slopey(3), slopez(3)
+ logical firstloop
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (mod(srcbbox(d,3), dstbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: destination strides are not integer multiples of the source strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ regkext = (regbbox(d,2) - regbbox(d,1)) / regbbox(d,3) + 1
+ dstkfac = srcbbox(d,3) / dstbbox(d,3)
+ srckoff = (regbbox(d,1) - srcbbox(d,1)) / dstbbox(d,3)
+ offsetlo = regbbox(d,3)
+ if (mod(srckoff + 0, dstkfac).eq.0) then
+ offsetlo = 0
+ if (regkext.gt.1) then
+ offsetlo = regbbox(d,3)
+ end if
+ end if
+ offsethi = regbbox(d,3)
+ if (mod(srckoff + regkext-1, dstkfac).eq.0) then
+ offsethi = 0
+ if (regkext.gt.1) then
+ offsethi = regbbox(d,3)
+ end if
+ end if
+ if (regbbox(d,1)-offsetlo.lt.srcbbox(d,1)
+ $ .or. regbbox(d,2)+offsethi.gt.srcbbox(d,2)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ dstifac = srcbbox(1,3) / dstbbox(1,3)
+ dstjfac = srcbbox(2,3) / dstbbox(2,3)
+ dstkfac = srcbbox(3,3) / dstbbox(3,3)
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Quadratic (second order) interpolation
+ if (t1.eq.t2 .or. t1.eq.t3 .or. t2.eq.t3) then
+ call CCTK_WARN (0, "Internal error: arrays have same time")
+ end if
+ if (t.lt.min(t1,t2,t3)-eps .or. t.gt.max(t1,t2,t3)+eps) then
+ call CCTK_WARN (0, "Internal error: extrapolation in time")
+ end if
+
+ s1fac = (t - t2) * (t - t3) / ((t1 - t2) * (t1 - t3))
+ s2fac = (t - t1) * (t - t3) / ((t2 - t1) * (t2 - t3))
+ s3fac = (t - t1) * (t - t2) / ((t3 - t1) * (t3 - t2))
+
+
+
+c Loop over fine region
+
+ do k = 0, regkext-1
+ k0 = (srckoff + k) / dstkfac
+ fk = mod(srckoff + k, dstkfac)
+
+ do j = 0, regjext-1
+ j0 = (srcjoff + j) / dstjfac
+ fj = mod(srcjoff + j, dstjfac)
+
+ do i = 0, regiext-1
+ i0 = (srcioff + i) / dstifac
+ fi = mod(srcioff + i, dstifac)
+
+
+ slopex(1) = zero
+ slopey(1) = zero
+ slopez(1) = zero
+
+ firstloop = .true.
+
+ do kk = 1, 2
+ do jj = 1, 2
+
+ dupw = src1(i0+1 ,j0+jj,k0+kk) - src1(i0+0 ,j0+jj,k0+kk)
+ dloc = src1(i0+2 ,j0+jj,k0+kk) - src1(i0+1 ,j0+kk,k0+kk)
+ if (firstloop) then
+ slopex(1) = half * dble(fi) * minmod(dupw,dloc)
+ firstloop = .false.
+ else
+ slopex(1) =
+ $ minmod(slopex(1), half * dble(fi) * minmod(dupw,dloc))
+ end if
+ end do
+ end do
+
+ firstloop = .true.
+
+ do kk = 1, 2
+ do ii = 1, 2
+
+ dupw = src1(i0+ii,j0+1 ,k0+kk) - src1(i0+ii,j0+0 ,k0+kk)
+ dloc = src1(i0+ii,j0+2 ,k0+kk) - src1(i0+ii,j0+1 ,k0+kk)
+ if (firstloop) then
+ slopey(1) = half * dble(fj) * minmod(dupw,dloc)
+ firstloop = .false.
+ else
+ slopey(1) =
+ $ minmod(slopey(1), half * dble(fj) * minmod(dupw,dloc))
+ end if
+ end do
+ end do
+
+ firstloop = .true.
+
+ do jj = 1, 2
+ do ii = 1, 2
+ dupw = src1(i0+ii,j0+jj,k0+1 ) - src1(i0+ii,j0+jj,k0+0 )
+ dloc = src1(i0+ii,j0+jj,k0+2 ) - src1(i0+ii,j0+jj,k0+1 )
+ if (firstloop) then
+ slopez(1) = half * dble(fk) * minmod(dupw,dloc)
+ firstloop = .false.
+ else
+ slopez(1) =
+ $ minmod(slopez(1), half * dble(fk) * minmod(dupw,dloc))
+ end if
+
+ end do
+ end do
+
+ slopex(2) = zero
+ slopey(2) = zero
+ slopez(2) = zero
+
+ firstloop = .true.
+
+ do kk = 1, 2
+ do jj = 1, 2
+
+ dupw = src2(i0+1 ,j0+jj,k0+kk) - src2(i0+0 ,j0+jj,k0+kk)
+ dloc = src2(i0+2 ,j0+jj,k0+kk) - src2(i0+1 ,j0+kk,k0+kk)
+ if (firstloop) then
+ slopex(2) = half * dble(fi) * minmod(dupw,dloc)
+ firstloop = .false.
+ else
+ slopex(2) =
+ $ minmod(slopex(2), half * dble(fi) * minmod(dupw,dloc))
+ end if
+ end do
+ end do
+
+ firstloop = .true.
+
+ do kk = 1, 2
+ do ii = 1, 2
+
+ dupw = src2(i0+ii,j0+1 ,k0+kk) - src2(i0+ii,j0+0 ,k0+kk)
+ dloc = src2(i0+ii,j0+2 ,k0+kk) - src2(i0+ii,j0+1 ,k0+kk)
+ if (firstloop) then
+ slopey(2) = half * dble(fj) * minmod(dupw,dloc)
+ firstloop = .false.
+ else
+ slopey(2) =
+ $ minmod(slopey(2), half * dble(fj) * minmod(dupw,dloc))
+ end if
+ end do
+ end do
+
+ firstloop = .true.
+
+ do jj = 1, 2
+ do ii = 1, 2
+
+ dupw = src2(i0+ii,j0+jj,k0+1 ) - src2(i0+ii,j0+jj,k0+0 )
+ dloc = src2(i0+ii,j0+jj,k0+2 ) - src2(i0+ii,j0+jj,k0+1 )
+ if (firstloop) then
+ slopez(2) = half * dble(fk) * minmod(dupw,dloc)
+ firstloop = .false.
+ else
+ slopez(2) =
+ $ minmod(slopez(2), half * dble(fk) * minmod(dupw,dloc))
+ end if
+ end do
+ end do
+
+ firstloop = .true.
+
+ slopex(3) = zero
+ slopey(3) = zero
+ slopez(3) = zero
+
+ do kk = 1, 2
+ do jj = 1, 2
+
+ dupw = src3(i0+1 ,j0+jj,k0+kk) - src3(i0+0 ,j0+jj,k0+kk)
+ dloc = src3(i0+2 ,j0+jj,k0+kk) - src3(i0+1 ,j0+kk,k0+kk)
+ if (firstloop) then
+ slopex(3) = half * dble(fi) * minmod(dupw,dloc)
+ firstloop = .false.
+ else
+ slopex(3) =
+ $ minmod(slopex(3), half * dble(fi) * minmod(dupw,dloc))
+ end if
+ end do
+ end do
+
+ firstloop = .true.
+
+ do kk = 1, 2
+ do ii = 1, 2
+
+ dupw = src3(i0+ii,j0+1 ,k0+kk) - src3(i0+ii,j0+0 ,k0+kk)
+ dloc = src3(i0+ii,j0+2 ,k0+kk) - src3(i0+ii,j0+1 ,k0+kk)
+ if (firstloop) then
+ slopey(3) = half * dble(fj) * minmod(dupw,dloc)
+ firstloop = .false.
+ else
+ slopey(3) =
+ $ minmod(slopey(3), half * dble(fj) * minmod(dupw,dloc))
+ end if
+ end do
+ end do
+
+ firstloop = .true.
+
+ do jj = 1, 2
+ do ii = 1, 2
+
+ dupw = src3(i0+ii,j0+jj,k0+1 ) - src3(i0+ii,j0+jj,k0+0 )
+ dloc = src3(i0+ii,j0+jj,k0+2 ) - src3(i0+ii,j0+jj,k0+1 )
+ if (firstloop) then
+ slopez(3) = half * dble(fk) * minmod(dupw,dloc)
+ firstloop = .false.
+ else
+ slopez(3) =
+ $ minmod(slopez(3), half * dble(fk) * minmod(dupw,dloc))
+ end if
+ end do
+ end do
+
+ CHKIDX (dstioff+i+1, dstjoff+j+1, dstkoff+k+1, \
+ dstiext,dstjext,dstkext, "destination")
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) =
+ $ s1fac * (src1(i0+1,j0+1,k0+1) +
+ $ slopex(1) + slopey(1) + slopez(1)) +
+ $ s2fac * (src2(i0+1,j0+1,k0+1) +
+ $ slopex(2) + slopey(2) + slopez(2)) +
+ $ s3fac * (src3(i0+1,j0+1,k0+1) +
+ $ slopex(3) + slopey(3) + slopez(3))
+
+ end do
+ end do
+ end do
+
+ end
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_o3.F77 b/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_o3.F77
new file mode 100644
index 000000000..c44e1119f
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_o3.F77
@@ -0,0 +1,222 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_o3.F77,v 1.13 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+
+
+
+#define CHKIDX(i,j,k, imax,jmax,kmax, where) \
+ if ((i).lt.1 .or. (i).gt.(imax) \
+ .or. (j).lt.1 .or. (j).gt.(jmax) \
+ .or. (k).lt.1 .or. (k).gt.(kmax)) then &&\
+ write (msg, '(a, " array index out of bounds: shape is (",i4,",",i4,",",i4,"), index is (",i4,",",i4,",",i4,")")') \
+ (where), (imax), (jmax), (kmax), (i), (j), (k) &&\
+ call CCTK_WARN (0, msg(1:len_trim(msg))) &&\
+ end if
+
+
+
+ subroutine prolongate_3d_real8_3tl_o3 (
+ $ src1, t1, src2, t2, src3, t3, srciext, srcjext, srckext,
+ $ dst, t, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ CCTK_REAL8 one
+ parameter (one = 1)
+
+ CCTK_REAL8 eps
+ parameter (eps = 1.0d-10)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src1(srciext,srcjext,srckext)
+ CCTK_REAL8 t1
+ CCTK_REAL8 src2(srciext,srcjext,srckext)
+ CCTK_REAL8 t2
+ CCTK_REAL8 src3(srciext,srcjext,srckext)
+ CCTK_REAL8 t3
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+ CCTK_REAL8 t
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer offsetlo, offsethi
+
+ integer regiext, regjext, regkext
+
+ integer dstifac, dstjfac, dstkfac
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ CCTK_REAL8 s1fac, s2fac, s3fac
+
+ CCTK_REAL8 dstdiv
+ integer i, j, k
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer ifac(4), jfac(4), kfac(4)
+ integer ii, jj, kk
+ integer fac
+ CCTK_REAL8 res
+ integer d
+
+ character msg*1000
+
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (mod(srcbbox(d,3), dstbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: destination strides are not integer multiples of the source strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ regkext = (regbbox(d,2) - regbbox(d,1)) / regbbox(d,3) + 1
+ dstkfac = srcbbox(d,3) / dstbbox(d,3)
+ srckoff = (regbbox(d,1) - srcbbox(d,1)) / dstbbox(d,3)
+ offsetlo = regbbox(d,3)
+ if (mod(srckoff + 0, dstkfac).eq.0) then
+ offsetlo = 0
+ if (regkext.gt.1) then
+ offsetlo = regbbox(d,3)
+ end if
+ end if
+ offsethi = regbbox(d,3)
+ if (mod(srckoff + regkext-1, dstkfac).eq.0) then
+ offsethi = 0
+ if (regkext.gt.1) then
+ offsethi = regbbox(d,3)
+ end if
+ end if
+ if (regbbox(d,1)-offsetlo.lt.srcbbox(d,1)
+ $ .or. regbbox(d,2)+offsethi.gt.srcbbox(d,2)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ dstifac = srcbbox(1,3) / dstbbox(1,3)
+ dstjfac = srcbbox(2,3) / dstbbox(2,3)
+ dstkfac = srcbbox(3,3) / dstbbox(3,3)
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Quadratic (second order) interpolation
+ if (t1.eq.t2 .or. t1.eq.t3 .or. t2.eq.t3) then
+ call CCTK_WARN (0, "Internal error: arrays have same time")
+ end if
+ if (t.lt.min(t1,t2,t3)-eps .or. t.gt.max(t1,t2,t3)+eps) then
+ call CCTK_WARN (0, "Internal error: extrapolation in time")
+ end if
+
+ s1fac = (t - t2) * (t - t3) / ((t1 - t2) * (t1 - t3))
+ s2fac = (t - t1) * (t - t3) / ((t2 - t1) * (t2 - t3))
+ s3fac = (t - t1) * (t - t2) / ((t3 - t1) * (t3 - t2))
+
+
+
+c Loop over fine region
+ dstdiv = one / (6*dstifac**3 * 6*dstjfac**3 * 6*dstkfac**3)
+
+ do k = 0, regkext-1
+ k0 = (srckoff + k) / dstkfac
+ fk = mod(srckoff + k, dstkfac)
+ kfac(1) = (fk ) * (fk-dstkfac) * (fk-2*dstkfac) * (-1)
+ kfac(2) = (fk+dstkfac) * (fk-dstkfac) * (fk-2*dstkfac) * 3
+ kfac(3) = (fk+dstkfac) * (fk ) * (fk-2*dstkfac) * (-3)
+ kfac(4) = (fk+dstkfac) * (fk ) * (fk- dstkfac) * 1
+
+ do j = 0, regjext-1
+ j0 = (srcjoff + j) / dstjfac
+ fj = mod(srcjoff + j, dstjfac)
+ jfac(1) = (fj ) * (fj-dstjfac) * (fj-2*dstjfac) * (-1)
+ jfac(2) = (fj+dstjfac) * (fj-dstjfac) * (fj-2*dstjfac) * 3
+ jfac(3) = (fj+dstjfac) * (fj ) * (fj-2*dstjfac) * (-3)
+ jfac(4) = (fj+dstjfac) * (fj ) * (fj- dstjfac) * 1
+
+ do i = 0, regiext-1
+ i0 = (srcioff + i) / dstifac
+ fi = mod(srcioff + i, dstifac)
+ ifac(1) = (fi ) * (fi-dstifac) * (fi-2*dstifac) * (-1)
+ ifac(2) = (fi+dstifac) * (fi-dstifac) * (fi-2*dstifac) * 3
+ ifac(3) = (fi+dstifac) * (fi ) * (fi-2*dstifac) * (-3)
+ ifac(4) = (fi+dstifac) * (fi ) * (fi- dstifac) * 1
+
+ res = 0
+
+ do kk=1,4
+ do jj=1,4
+ do ii=1,4
+
+ fac = ifac(ii) * jfac(jj) * kfac(kk)
+
+ if (fac.ne.0) then
+ CHKIDX (i0+ii-1, j0+jj-1, k0+kk-1, \
+ srciext,srcjext,srckext, "source")
+ res = res
+ $ + fac * s1fac * src1(i0+ii-1, j0+jj-1, k0+kk-1)
+ $ + fac * s2fac * src2(i0+ii-1, j0+jj-1, k0+kk-1)
+ $ + fac * s3fac * src3(i0+ii-1, j0+jj-1, k0+kk-1)
+ end if
+
+ end do
+ end do
+ end do
+
+ CHKIDX (dstioff+i+1, dstjoff+j+1, dstkoff+k+1, \
+ dstiext,dstjext,dstkext, "destination")
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = dstdiv * res
+
+ end do
+ end do
+ end do
+
+ end
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_o3_rf2.F77 b/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_o3_rf2.F77
new file mode 100644
index 000000000..daa130251
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_o3_rf2.F77
@@ -0,0 +1,757 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_o3_rf2.F77,v 1.3 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+
+
+ subroutine prolongate_3d_real8_3tl_o3_rf2 (
+ $ src1, t1, src2, t2, src3, t3, srciext, srcjext, srckext,
+ $ dst, t, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ DECLARE_CCTK_PARAMETERS
+
+ CCTK_REAL8 eps
+ parameter (eps = 1.0d-10)
+
+ CCTK_REAL8 one, half, fourth, eighth, sixteenth
+ parameter (one = 1)
+ parameter (half = one/2)
+ parameter (fourth = one/4)
+ parameter (eighth = one/8)
+ parameter (sixteenth = one/16)
+ CCTK_REAL8 f1, f2, f3, f4
+ parameter (f1 = - sixteenth)
+ parameter (f2 = 9*sixteenth)
+ parameter (f3 = 9*sixteenth)
+ parameter (f4 = - sixteenth)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src1(srciext,srcjext,srckext)
+ CCTK_REAL8 t1
+ CCTK_REAL8 src2(srciext,srcjext,srckext)
+ CCTK_REAL8 t2
+ CCTK_REAL8 src3(srciext,srcjext,srckext)
+ CCTK_REAL8 t3
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+ CCTK_REAL8 t
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer regiext, regjext, regkext
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ integer offsetlo, offsethi
+
+ CCTK_REAL8 s1fac, s2fac, s3fac
+
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer is, js, ks
+ integer id, jd, kd
+ integer i, j, k
+
+ CCTK_REAL8 res1, res2, res3
+
+ integer d
+
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (srcbbox(d,3).ne.dstbbox(d,3)*2) then
+ call CCTK_WARN (0, "Internal error: source strides are not twice the destination strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ regkext = (regbbox(d,2) - regbbox(d,1)) / regbbox(d,3) + 1
+ srckoff = (regbbox(d,1) - srcbbox(d,1)) / dstbbox(d,3)
+ offsetlo = regbbox(d,3)
+ if (mod(srckoff, 2).eq.0) then
+ offsetlo = 0
+ if (regkext.gt.1) then
+ offsetlo = regbbox(d,3)
+ end if
+ end if
+ offsethi = regbbox(d,3)
+ if (mod(srckoff + regkext-1, 2).eq.0) then
+ offsethi = 0
+ if (regkext.gt.1) then
+ offsethi = regbbox(d,3)
+ end if
+ end if
+ if (regbbox(d,1)-offsetlo.lt.srcbbox(d,1)
+ $ .or. regbbox(d,2)+offsethi.gt.srcbbox(d,2)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Quadratic (second order) time interpolation
+ if (t1.eq.t2 .or. t1.eq.t3 .or. t2.eq.t3) then
+ call CCTK_WARN (0, "Internal error: arrays have same time")
+ end if
+ if (t.lt.min(t1,t2,t3)-eps .or. t.gt.max(t1,t2,t3)+eps) then
+ call CCTK_WARN (0, "Internal error: extrapolation in time in time")
+ end if
+
+ s1fac = (t - t2) * (t - t3) / ((t1 - t2) * (t1 - t3))
+ s2fac = (t - t1) * (t - t3) / ((t2 - t1) * (t2 - t3))
+ s3fac = (t - t1) * (t - t2) / ((t3 - t1) * (t3 - t2))
+
+
+
+ fi = mod(srcioff, 2)
+ fj = mod(srcjoff, 2)
+ fk = mod(srckoff, 2)
+
+ i0 = srcioff / 2
+ j0 = srcjoff / 2
+ k0 = srckoff / 2
+
+
+
+c Loop over fine region
+c Label scheme: 8 fk fj fi
+
+c begin k loop
+ 8 continue
+ k = 0
+ ks = k0+1
+ kd = dstkoff+1
+ if (fk.eq.0) goto 80
+ if (fk.eq.1) goto 81
+ stop
+
+c begin j loop
+ 80 continue
+ j = 0
+ js = j0+1
+ jd = dstjoff+1
+ if (fj.eq.0) goto 800
+ if (fj.eq.1) goto 801
+ stop
+
+c begin i loop
+ 800 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8000
+ if (fi.eq.1) goto 8001
+ stop
+
+c kernel
+ 8000 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 1,1,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + s1fac * src1(is,js,ks)
+ $ + s2fac * src2(is,js,ks)
+ $ + s3fac * src3(is,js,ks)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8001
+ goto 900
+
+c kernel
+ 8001 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is-1,js,ks, 4,1,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + f1 * s1fac * src1(is-1,js,ks) + f2 * s1fac * src1(is ,js,ks)
+ $ + f3 * s1fac * src1(is+1,js,ks) + f4 * s1fac * src1(is+2,js,ks)
+ $ + f1 * s2fac * src2(is-1,js,ks) + f2 * s2fac * src2(is ,js,ks)
+ $ + f3 * s2fac * src2(is+1,js,ks) + f4 * s2fac * src2(is+2,js,ks)
+ $ + f1 * s3fac * src3(is-1,js,ks) + f2 * s3fac * src3(is ,js,ks)
+ $ + f3 * s3fac * src3(is+1,js,ks) + f4 * s3fac * src3(is+2,js,ks)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8000
+ goto 900
+
+c end i loop
+ 900 continue
+ j = j+1
+ jd = jd+1
+ if (j.lt.regjext) goto 801
+ goto 90
+
+c begin i loop
+ 801 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8010
+ if (fi.eq.1) goto 8011
+ stop
+
+c kernel
+ 8010 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js-1,ks, 1,4,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + f1 * s1fac * src1(is,js-1,ks) + f2 * s1fac * src1(is,js ,ks)
+ $ + f3 * s1fac * src1(is,js+1,ks) + f4 * s1fac * src1(is,js+2,ks)
+ $ + f1 * s2fac * src2(is,js-1,ks) + f2 * s2fac * src2(is,js ,ks)
+ $ + f3 * s2fac * src2(is,js+1,ks) + f4 * s2fac * src2(is,js+2,ks)
+ $ + f1 * s3fac * src3(is,js-1,ks) + f2 * s3fac * src3(is,js ,ks)
+ $ + f3 * s3fac * src3(is,js+1,ks) + f4 * s3fac * src3(is,js+2,ks)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8011
+ goto 901
+
+c kernel
+ 8011 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is-1,js-1,ks, 4,4,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + f1*f1 * s1fac * src1(is-1,js-1,ks)
+ $ + f2*f1 * s1fac * src1(is ,js-1,ks)
+ $ + f3*f1 * s1fac * src1(is+1,js-1,ks)
+ $ + f4*f1 * s1fac * src1(is+2,js-1,ks)
+ $ + f1*f2 * s1fac * src1(is-1,js ,ks)
+ $ + f2*f2 * s1fac * src1(is ,js ,ks)
+ $ + f3*f2 * s1fac * src1(is+1,js ,ks)
+ $ + f4*f2 * s1fac * src1(is+2,js ,ks)
+ $ + f1*f3 * s1fac * src1(is-1,js+1,ks)
+ $ + f2*f3 * s1fac * src1(is ,js+1,ks)
+ $ + f3*f3 * s1fac * src1(is+1,js+1,ks)
+ $ + f4*f3 * s1fac * src1(is+2,js+1,ks)
+ $ + f1*f4 * s1fac * src1(is-1,js+2,ks)
+ $ + f2*f4 * s1fac * src1(is ,js+2,ks)
+ $ + f3*f4 * s1fac * src1(is+1,js+2,ks)
+ $ + f4*f4 * s1fac * src1(is+2,js+2,ks)
+ $
+ $ + f1*f1 * s2fac * src2(is-1,js-1,ks)
+ $ + f2*f1 * s2fac * src2(is ,js-1,ks)
+ $ + f3*f1 * s2fac * src2(is+1,js-1,ks)
+ $ + f4*f1 * s2fac * src2(is+2,js-1,ks)
+ $ + f1*f2 * s2fac * src2(is-1,js ,ks)
+ $ + f2*f2 * s2fac * src2(is ,js ,ks)
+ $ + f3*f2 * s2fac * src2(is+1,js ,ks)
+ $ + f4*f2 * s2fac * src2(is+2,js ,ks)
+ $ + f1*f3 * s2fac * src2(is-1,js+1,ks)
+ $ + f2*f3 * s2fac * src2(is ,js+1,ks)
+ $ + f3*f3 * s2fac * src2(is+1,js+1,ks)
+ $ + f4*f3 * s2fac * src2(is+2,js+1,ks)
+ $ + f1*f4 * s2fac * src2(is-1,js+2,ks)
+ $ + f2*f4 * s2fac * src2(is ,js+2,ks)
+ $ + f3*f4 * s2fac * src2(is+1,js+2,ks)
+ $ + f4*f4 * s2fac * src2(is+2,js+2,ks)
+ $
+ $ + f1*f1 * s3fac * src3(is-1,js-1,ks)
+ $ + f2*f1 * s3fac * src3(is ,js-1,ks)
+ $ + f3*f1 * s3fac * src3(is+1,js-1,ks)
+ $ + f4*f1 * s3fac * src3(is+2,js-1,ks)
+ $ + f1*f2 * s3fac * src3(is-1,js ,ks)
+ $ + f2*f2 * s3fac * src3(is ,js ,ks)
+ $ + f3*f2 * s3fac * src3(is+1,js ,ks)
+ $ + f4*f2 * s3fac * src3(is+2,js ,ks)
+ $ + f1*f3 * s3fac * src3(is-1,js+1,ks)
+ $ + f2*f3 * s3fac * src3(is ,js+1,ks)
+ $ + f3*f3 * s3fac * src3(is+1,js+1,ks)
+ $ + f4*f3 * s3fac * src3(is+2,js+1,ks)
+ $ + f1*f4 * s3fac * src3(is-1,js+2,ks)
+ $ + f2*f4 * s3fac * src3(is ,js+2,ks)
+ $ + f3*f4 * s3fac * src3(is+1,js+2,ks)
+ $ + f4*f4 * s3fac * src3(is+2,js+2,ks)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8010
+ goto 901
+
+c end i loop
+ 901 continue
+ j = j+1
+ jd = jd+1
+ js = js+1
+ if (j.lt.regjext) goto 800
+ goto 90
+
+c end j loop
+ 90 continue
+ k = k+1
+ kd = kd+1
+ if (k.lt.regkext) goto 81
+ goto 9
+
+c begin j loop
+ 81 continue
+ j = 0
+ js = j0+1
+ jd = dstjoff+1
+ if (fj.eq.0) goto 810
+ if (fj.eq.1) goto 811
+ stop
+
+c begin i loop
+ 810 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8100
+ if (fi.eq.1) goto 8101
+ stop
+
+c kernel
+ 8100 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks-1, 1,1,4, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + f1 * s1fac * src1(is,js,ks-1) + f2 * s1fac * src1(is,js,ks )
+ $ + f3 * s1fac * src1(is,js,ks+1) + f4 * s1fac * src1(is,js,ks+2)
+ $ + f1 * s2fac * src2(is,js,ks-1) + f2 * s2fac * src2(is,js,ks )
+ $ + f3 * s2fac * src2(is,js,ks+1) + f4 * s2fac * src2(is,js,ks+2)
+ $ + f1 * s3fac * src3(is,js,ks-1) + f2 * s3fac * src3(is,js,ks )
+ $ + f3 * s3fac * src3(is,js,ks+1) + f4 * s3fac * src3(is,js,ks+2)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8101
+ goto 910
+
+c kernel
+ 8101 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is-1,js,ks-1, 4,1,4, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + f1*f1 * s1fac * src1(is-1,js,ks-1)
+ $ + f2*f1 * s1fac * src1(is ,js,ks-1)
+ $ + f3*f1 * s1fac * src1(is+1,js,ks-1)
+ $ + f4*f1 * s1fac * src1(is+2,js,ks-1)
+ $ + f1*f2 * s1fac * src1(is-1,js,ks )
+ $ + f2*f2 * s1fac * src1(is ,js,ks )
+ $ + f3*f2 * s1fac * src1(is+1,js,ks )
+ $ + f4*f2 * s1fac * src1(is+2,js,ks )
+ $ + f1*f3 * s1fac * src1(is-1,js,ks+1)
+ $ + f2*f3 * s1fac * src1(is ,js,ks+1)
+ $ + f3*f3 * s1fac * src1(is+1,js,ks+1)
+ $ + f4*f3 * s1fac * src1(is+2,js,ks+1)
+ $ + f1*f4 * s1fac * src1(is-1,js,ks+2)
+ $ + f2*f4 * s1fac * src1(is ,js,ks+2)
+ $ + f3*f4 * s1fac * src1(is+1,js,ks+2)
+ $ + f4*f4 * s1fac * src1(is+2,js,ks+2)
+ $
+ $ + f1*f1 * s2fac * src2(is-1,js,ks-1)
+ $ + f2*f1 * s2fac * src2(is ,js,ks-1)
+ $ + f3*f1 * s2fac * src2(is+1,js,ks-1)
+ $ + f4*f1 * s2fac * src2(is+2,js,ks-1)
+ $ + f1*f2 * s2fac * src2(is-1,js,ks )
+ $ + f2*f2 * s2fac * src2(is ,js,ks )
+ $ + f3*f2 * s2fac * src2(is+1,js,ks )
+ $ + f4*f2 * s2fac * src2(is+2,js,ks )
+ $ + f1*f3 * s2fac * src2(is-1,js,ks+1)
+ $ + f2*f3 * s2fac * src2(is ,js,ks+1)
+ $ + f3*f3 * s2fac * src2(is+1,js,ks+1)
+ $ + f4*f3 * s2fac * src2(is+2,js,ks+1)
+ $ + f1*f4 * s2fac * src2(is-1,js,ks+2)
+ $ + f2*f4 * s2fac * src2(is ,js,ks+2)
+ $ + f3*f4 * s2fac * src2(is+1,js,ks+2)
+ $ + f4*f4 * s2fac * src2(is+2,js,ks+2)
+ $
+ $ + f1*f1 * s3fac * src3(is-1,js,ks-1)
+ $ + f2*f1 * s3fac * src3(is ,js,ks-1)
+ $ + f3*f1 * s3fac * src3(is+1,js,ks-1)
+ $ + f4*f1 * s3fac * src3(is+2,js,ks-1)
+ $ + f1*f2 * s3fac * src3(is-1,js,ks )
+ $ + f2*f2 * s3fac * src3(is ,js,ks )
+ $ + f3*f2 * s3fac * src3(is+1,js,ks )
+ $ + f4*f2 * s3fac * src3(is+2,js,ks )
+ $ + f1*f3 * s3fac * src3(is-1,js,ks+1)
+ $ + f2*f3 * s3fac * src3(is ,js,ks+1)
+ $ + f3*f3 * s3fac * src3(is+1,js,ks+1)
+ $ + f4*f3 * s3fac * src3(is+2,js,ks+1)
+ $ + f1*f4 * s3fac * src3(is-1,js,ks+2)
+ $ + f2*f4 * s3fac * src3(is ,js,ks+2)
+ $ + f3*f4 * s3fac * src3(is+1,js,ks+2)
+ $ + f4*f4 * s3fac * src3(is+2,js,ks+2)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8100
+ goto 910
+
+c end i loop
+ 910 continue
+ j = j+1
+ jd = jd+1
+ if (j.lt.regjext) goto 811
+ goto 91
+
+c begin i loop
+ 811 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8110
+ if (fi.eq.1) goto 8111
+ stop
+
+c kernel
+ 8110 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js-1,ks-1, 1,4,4, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + f1*f1 * s1fac * src1(is,js-1,ks-1)
+ $ + f2*f1 * s1fac * src1(is,js ,ks-1)
+ $ + f3*f1 * s1fac * src1(is,js+1,ks-1)
+ $ + f4*f1 * s1fac * src1(is,js+2,ks-1)
+ $ + f1*f2 * s1fac * src1(is,js-1,ks )
+ $ + f2*f2 * s1fac * src1(is,js ,ks )
+ $ + f3*f2 * s1fac * src1(is,js+1,ks )
+ $ + f4*f2 * s1fac * src1(is,js+2,ks )
+ $ + f1*f3 * s1fac * src1(is,js-1,ks+1)
+ $ + f2*f3 * s1fac * src1(is,js ,ks+1)
+ $ + f3*f3 * s1fac * src1(is,js+1,ks+1)
+ $ + f4*f3 * s1fac * src1(is,js+2,ks+1)
+ $ + f1*f4 * s1fac * src1(is,js-1,ks+2)
+ $ + f2*f4 * s1fac * src1(is,js ,ks+2)
+ $ + f3*f4 * s1fac * src1(is,js+1,ks+2)
+ $ + f4*f4 * s1fac * src1(is,js+2,ks+2)
+ $
+ $ + f1*f1 * s2fac * src2(is,js-1,ks-1)
+ $ + f2*f1 * s2fac * src2(is,js ,ks-1)
+ $ + f3*f1 * s2fac * src2(is,js+1,ks-1)
+ $ + f4*f1 * s2fac * src2(is,js+2,ks-1)
+ $ + f1*f2 * s2fac * src2(is,js-1,ks )
+ $ + f2*f2 * s2fac * src2(is,js ,ks )
+ $ + f3*f2 * s2fac * src2(is,js+1,ks )
+ $ + f4*f2 * s2fac * src2(is,js+2,ks )
+ $ + f1*f3 * s2fac * src2(is,js-1,ks+1)
+ $ + f2*f3 * s2fac * src2(is,js ,ks+1)
+ $ + f3*f3 * s2fac * src2(is,js+1,ks+1)
+ $ + f4*f3 * s2fac * src2(is,js+2,ks+1)
+ $ + f1*f4 * s2fac * src2(is,js-1,ks+2)
+ $ + f2*f4 * s2fac * src2(is,js ,ks+2)
+ $ + f3*f4 * s2fac * src2(is,js+1,ks+2)
+ $ + f4*f4 * s2fac * src2(is,js+2,ks+2)
+ $
+ $ + f1*f1 * s3fac * src3(is,js-1,ks-1)
+ $ + f2*f1 * s3fac * src3(is,js ,ks-1)
+ $ + f3*f1 * s3fac * src3(is,js+1,ks-1)
+ $ + f4*f1 * s3fac * src3(is,js+2,ks-1)
+ $ + f1*f2 * s3fac * src3(is,js-1,ks )
+ $ + f2*f2 * s3fac * src3(is,js ,ks )
+ $ + f3*f2 * s3fac * src3(is,js+1,ks )
+ $ + f4*f2 * s3fac * src3(is,js+2,ks )
+ $ + f1*f3 * s3fac * src3(is,js-1,ks+1)
+ $ + f2*f3 * s3fac * src3(is,js ,ks+1)
+ $ + f3*f3 * s3fac * src3(is,js+1,ks+1)
+ $ + f4*f3 * s3fac * src3(is,js+2,ks+1)
+ $ + f1*f4 * s3fac * src3(is,js-1,ks+2)
+ $ + f2*f4 * s3fac * src3(is,js ,ks+2)
+ $ + f3*f4 * s3fac * src3(is,js+1,ks+2)
+ $ + f4*f4 * s3fac * src3(is,js+2,ks+2)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8111
+ goto 911
+
+c kernel
+ 8111 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is-1,js-1,ks-1, 4,4,4, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ res1 =
+ $ + f1*f1*f1 * s1fac * src1(is-1,js-1,ks-1)
+ $ + f2*f1*f1 * s1fac * src1(is ,js-1,ks-1)
+ $ + f3*f1*f1 * s1fac * src1(is+1,js-1,ks-1)
+ $ + f4*f1*f1 * s1fac * src1(is+2,js-1,ks-1)
+ $ + f1*f2*f1 * s1fac * src1(is-1,js ,ks-1)
+ $ + f2*f2*f1 * s1fac * src1(is ,js ,ks-1)
+ $ + f3*f2*f1 * s1fac * src1(is+1,js ,ks-1)
+ $ + f4*f2*f1 * s1fac * src1(is+2,js ,ks-1)
+ $ + f1*f3*f1 * s1fac * src1(is-1,js+1,ks-1)
+ $ + f2*f3*f1 * s1fac * src1(is ,js+1,ks-1)
+ $ + f3*f3*f1 * s1fac * src1(is+1,js+1,ks-1)
+ $ + f4*f3*f1 * s1fac * src1(is+2,js+1,ks-1)
+ $ + f1*f4*f1 * s1fac * src1(is-1,js+2,ks-1)
+ $ + f2*f4*f1 * s1fac * src1(is ,js+2,ks-1)
+ $ + f3*f4*f1 * s1fac * src1(is+1,js+2,ks-1)
+ $ + f4*f4*f1 * s1fac * src1(is+2,js+2,ks-1)
+ $
+ $ + f1*f1*f2 * s1fac * src1(is-1,js-1,ks )
+ $ + f2*f1*f2 * s1fac * src1(is ,js-1,ks )
+ $ + f3*f1*f2 * s1fac * src1(is+1,js-1,ks )
+ $ + f4*f1*f2 * s1fac * src1(is+2,js-1,ks )
+ $ + f1*f2*f2 * s1fac * src1(is-1,js ,ks )
+ $ + f2*f2*f2 * s1fac * src1(is ,js ,ks )
+ $ + f3*f2*f2 * s1fac * src1(is+1,js ,ks )
+ $ + f4*f2*f2 * s1fac * src1(is+2,js ,ks )
+ $ + f1*f3*f2 * s1fac * src1(is-1,js+1,ks )
+ $ + f2*f3*f2 * s1fac * src1(is ,js+1,ks )
+ $ + f3*f3*f2 * s1fac * src1(is+1,js+1,ks )
+ $ + f4*f3*f2 * s1fac * src1(is+2,js+1,ks )
+ $ + f1*f4*f2 * s1fac * src1(is-1,js+2,ks )
+ $ + f2*f4*f2 * s1fac * src1(is ,js+2,ks )
+ $ + f3*f4*f2 * s1fac * src1(is+1,js+2,ks )
+ $ + f4*f4*f2 * s1fac * src1(is+2,js+2,ks )
+ $
+ $ + f1*f1*f3 * s1fac * src1(is-1,js-1,ks+1)
+ $ + f2*f1*f3 * s1fac * src1(is ,js-1,ks+1)
+ $ + f3*f1*f3 * s1fac * src1(is+1,js-1,ks+1)
+ $ + f4*f1*f3 * s1fac * src1(is+2,js-1,ks+1)
+ $ + f1*f2*f3 * s1fac * src1(is-1,js ,ks+1)
+ $ + f2*f2*f3 * s1fac * src1(is ,js ,ks+1)
+ $ + f3*f2*f3 * s1fac * src1(is+1,js ,ks+1)
+ $ + f4*f2*f3 * s1fac * src1(is+2,js ,ks+1)
+ $ + f1*f3*f3 * s1fac * src1(is-1,js+1,ks+1)
+ $ + f2*f3*f3 * s1fac * src1(is ,js+1,ks+1)
+ $ + f3*f3*f3 * s1fac * src1(is+1,js+1,ks+1)
+ $ + f4*f3*f3 * s1fac * src1(is+2,js+1,ks+1)
+ $ + f1*f4*f3 * s1fac * src1(is-1,js+2,ks+1)
+ $ + f2*f4*f3 * s1fac * src1(is ,js+2,ks+1)
+ $ + f3*f4*f3 * s1fac * src1(is+1,js+2,ks+1)
+ $ + f4*f4*f3 * s1fac * src1(is+2,js+2,ks+1)
+ $
+ $ + f1*f1*f4 * s1fac * src1(is-1,js-1,ks+2)
+ $ + f2*f1*f4 * s1fac * src1(is ,js-1,ks+2)
+ $ + f3*f1*f4 * s1fac * src1(is+1,js-1,ks+2)
+ $ + f4*f1*f4 * s1fac * src1(is+2,js-1,ks+2)
+ $ + f1*f2*f4 * s1fac * src1(is-1,js ,ks+2)
+ $ + f2*f2*f4 * s1fac * src1(is ,js ,ks+2)
+ $ + f3*f2*f4 * s1fac * src1(is+1,js ,ks+2)
+ $ + f4*f2*f4 * s1fac * src1(is+2,js ,ks+2)
+ $ + f1*f3*f4 * s1fac * src1(is-1,js+1,ks+2)
+ $ + f2*f3*f4 * s1fac * src1(is ,js+1,ks+2)
+ $ + f3*f3*f4 * s1fac * src1(is+1,js+1,ks+2)
+ $ + f4*f3*f4 * s1fac * src1(is+2,js+1,ks+2)
+ $ + f1*f4*f4 * s1fac * src1(is-1,js+2,ks+2)
+ $ + f2*f4*f4 * s1fac * src1(is ,js+2,ks+2)
+ $ + f3*f4*f4 * s1fac * src1(is+1,js+2,ks+2)
+ $ + f4*f4*f4 * s1fac * src1(is+2,js+2,ks+2)
+ res2 =
+ $ + f1*f1*f1 * s2fac * src2(is-1,js-1,ks-1)
+ $ + f2*f1*f1 * s2fac * src2(is ,js-1,ks-1)
+ $ + f3*f1*f1 * s2fac * src2(is+1,js-1,ks-1)
+ $ + f4*f1*f1 * s2fac * src2(is+2,js-1,ks-1)
+ $ + f1*f2*f1 * s2fac * src2(is-1,js ,ks-1)
+ $ + f2*f2*f1 * s2fac * src2(is ,js ,ks-1)
+ $ + f3*f2*f1 * s2fac * src2(is+1,js ,ks-1)
+ $ + f4*f2*f1 * s2fac * src2(is+2,js ,ks-1)
+ $ + f1*f3*f1 * s2fac * src2(is-1,js+1,ks-1)
+ $ + f2*f3*f1 * s2fac * src2(is ,js+1,ks-1)
+ $ + f3*f3*f1 * s2fac * src2(is+1,js+1,ks-1)
+ $ + f4*f3*f1 * s2fac * src2(is+2,js+1,ks-1)
+ $ + f1*f4*f1 * s2fac * src2(is-1,js+2,ks-1)
+ $ + f2*f4*f1 * s2fac * src2(is ,js+2,ks-1)
+ $ + f3*f4*f1 * s2fac * src2(is+1,js+2,ks-1)
+ $ + f4*f4*f1 * s2fac * src2(is+2,js+2,ks-1)
+ $
+ $ + f1*f1*f2 * s2fac * src2(is-1,js-1,ks )
+ $ + f2*f1*f2 * s2fac * src2(is ,js-1,ks )
+ $ + f3*f1*f2 * s2fac * src2(is+1,js-1,ks )
+ $ + f4*f1*f2 * s2fac * src2(is+2,js-1,ks )
+ $ + f1*f2*f2 * s2fac * src2(is-1,js ,ks )
+ $ + f2*f2*f2 * s2fac * src2(is ,js ,ks )
+ $ + f3*f2*f2 * s2fac * src2(is+1,js ,ks )
+ $ + f4*f2*f2 * s2fac * src2(is+2,js ,ks )
+ $ + f1*f3*f2 * s2fac * src2(is-1,js+1,ks )
+ $ + f2*f3*f2 * s2fac * src2(is ,js+1,ks )
+ $ + f3*f3*f2 * s2fac * src2(is+1,js+1,ks )
+ $ + f4*f3*f2 * s2fac * src2(is+2,js+1,ks )
+ $ + f1*f4*f2 * s2fac * src2(is-1,js+2,ks )
+ $ + f2*f4*f2 * s2fac * src2(is ,js+2,ks )
+ $ + f3*f4*f2 * s2fac * src2(is+1,js+2,ks )
+ $ + f4*f4*f2 * s2fac * src2(is+2,js+2,ks )
+ $
+ $ + f1*f1*f3 * s2fac * src2(is-1,js-1,ks+1)
+ $ + f2*f1*f3 * s2fac * src2(is ,js-1,ks+1)
+ $ + f3*f1*f3 * s2fac * src2(is+1,js-1,ks+1)
+ $ + f4*f1*f3 * s2fac * src2(is+2,js-1,ks+1)
+ $ + f1*f2*f3 * s2fac * src2(is-1,js ,ks+1)
+ $ + f2*f2*f3 * s2fac * src2(is ,js ,ks+1)
+ $ + f3*f2*f3 * s2fac * src2(is+1,js ,ks+1)
+ $ + f4*f2*f3 * s2fac * src2(is+2,js ,ks+1)
+ $ + f1*f3*f3 * s2fac * src2(is-1,js+1,ks+1)
+ $ + f2*f3*f3 * s2fac * src2(is ,js+1,ks+1)
+ $ + f3*f3*f3 * s2fac * src2(is+1,js+1,ks+1)
+ $ + f4*f3*f3 * s2fac * src2(is+2,js+1,ks+1)
+ $ + f1*f4*f3 * s2fac * src2(is-1,js+2,ks+1)
+ $ + f2*f4*f3 * s2fac * src2(is ,js+2,ks+1)
+ $ + f3*f4*f3 * s2fac * src2(is+1,js+2,ks+1)
+ $ + f4*f4*f3 * s2fac * src2(is+2,js+2,ks+1)
+ $
+ $ + f1*f1*f4 * s2fac * src2(is-1,js-1,ks+2)
+ $ + f2*f1*f4 * s2fac * src2(is ,js-1,ks+2)
+ $ + f3*f1*f4 * s2fac * src2(is+1,js-1,ks+2)
+ $ + f4*f1*f4 * s2fac * src2(is+2,js-1,ks+2)
+ $ + f1*f2*f4 * s2fac * src2(is-1,js ,ks+2)
+ $ + f2*f2*f4 * s2fac * src2(is ,js ,ks+2)
+ $ + f3*f2*f4 * s2fac * src2(is+1,js ,ks+2)
+ $ + f4*f2*f4 * s2fac * src2(is+2,js ,ks+2)
+ $ + f1*f3*f4 * s2fac * src2(is-1,js+1,ks+2)
+ $ + f2*f3*f4 * s2fac * src2(is ,js+1,ks+2)
+ $ + f3*f3*f4 * s2fac * src2(is+1,js+1,ks+2)
+ $ + f4*f3*f4 * s2fac * src2(is+2,js+1,ks+2)
+ $ + f1*f4*f4 * s2fac * src2(is-1,js+2,ks+2)
+ $ + f2*f4*f4 * s2fac * src2(is ,js+2,ks+2)
+ $ + f3*f4*f4 * s2fac * src2(is+1,js+2,ks+2)
+ $ + f4*f4*f4 * s2fac * src2(is+2,js+2,ks+2)
+ res3 =
+ $ + f1*f1*f1 * s3fac * src3(is-1,js-1,ks-1)
+ $ + f2*f1*f1 * s3fac * src3(is ,js-1,ks-1)
+ $ + f3*f1*f1 * s3fac * src3(is+1,js-1,ks-1)
+ $ + f4*f1*f1 * s3fac * src3(is+2,js-1,ks-1)
+ $ + f1*f2*f1 * s3fac * src3(is-1,js ,ks-1)
+ $ + f2*f2*f1 * s3fac * src3(is ,js ,ks-1)
+ $ + f3*f2*f1 * s3fac * src3(is+1,js ,ks-1)
+ $ + f4*f2*f1 * s3fac * src3(is+2,js ,ks-1)
+ $ + f1*f3*f1 * s3fac * src3(is-1,js+1,ks-1)
+ $ + f2*f3*f1 * s3fac * src3(is ,js+1,ks-1)
+ $ + f3*f3*f1 * s3fac * src3(is+1,js+1,ks-1)
+ $ + f4*f3*f1 * s3fac * src3(is+2,js+1,ks-1)
+ $ + f1*f4*f1 * s3fac * src3(is-1,js+2,ks-1)
+ $ + f2*f4*f1 * s3fac * src3(is ,js+2,ks-1)
+ $ + f3*f4*f1 * s3fac * src3(is+1,js+2,ks-1)
+ $ + f4*f4*f1 * s3fac * src3(is+2,js+2,ks-1)
+ $
+ $ + f1*f1*f2 * s3fac * src3(is-1,js-1,ks )
+ $ + f2*f1*f2 * s3fac * src3(is ,js-1,ks )
+ $ + f3*f1*f2 * s3fac * src3(is+1,js-1,ks )
+ $ + f4*f1*f2 * s3fac * src3(is+2,js-1,ks )
+ $ + f1*f2*f2 * s3fac * src3(is-1,js ,ks )
+ $ + f2*f2*f2 * s3fac * src3(is ,js ,ks )
+ $ + f3*f2*f2 * s3fac * src3(is+1,js ,ks )
+ $ + f4*f2*f2 * s3fac * src3(is+2,js ,ks )
+ $ + f1*f3*f2 * s3fac * src3(is-1,js+1,ks )
+ $ + f2*f3*f2 * s3fac * src3(is ,js+1,ks )
+ $ + f3*f3*f2 * s3fac * src3(is+1,js+1,ks )
+ $ + f4*f3*f2 * s3fac * src3(is+2,js+1,ks )
+ $ + f1*f4*f2 * s3fac * src3(is-1,js+2,ks )
+ $ + f2*f4*f2 * s3fac * src3(is ,js+2,ks )
+ $ + f3*f4*f2 * s3fac * src3(is+1,js+2,ks )
+ $ + f4*f4*f2 * s3fac * src3(is+2,js+2,ks )
+ $
+ $ + f1*f1*f3 * s3fac * src3(is-1,js-1,ks+1)
+ $ + f2*f1*f3 * s3fac * src3(is ,js-1,ks+1)
+ $ + f3*f1*f3 * s3fac * src3(is+1,js-1,ks+1)
+ $ + f4*f1*f3 * s3fac * src3(is+2,js-1,ks+1)
+ $ + f1*f2*f3 * s3fac * src3(is-1,js ,ks+1)
+ $ + f2*f2*f3 * s3fac * src3(is ,js ,ks+1)
+ $ + f3*f2*f3 * s3fac * src3(is+1,js ,ks+1)
+ $ + f4*f2*f3 * s3fac * src3(is+2,js ,ks+1)
+ $ + f1*f3*f3 * s3fac * src3(is-1,js+1,ks+1)
+ $ + f2*f3*f3 * s3fac * src3(is ,js+1,ks+1)
+ $ + f3*f3*f3 * s3fac * src3(is+1,js+1,ks+1)
+ $ + f4*f3*f3 * s3fac * src3(is+2,js+1,ks+1)
+ $ + f1*f4*f3 * s3fac * src3(is-1,js+2,ks+1)
+ $ + f2*f4*f3 * s3fac * src3(is ,js+2,ks+1)
+ $ + f3*f4*f3 * s3fac * src3(is+1,js+2,ks+1)
+ $ + f4*f4*f3 * s3fac * src3(is+2,js+2,ks+1)
+ $
+ $ + f1*f1*f4 * s3fac * src3(is-1,js-1,ks+2)
+ $ + f2*f1*f4 * s3fac * src3(is ,js-1,ks+2)
+ $ + f3*f1*f4 * s3fac * src3(is+1,js-1,ks+2)
+ $ + f4*f1*f4 * s3fac * src3(is+2,js-1,ks+2)
+ $ + f1*f2*f4 * s3fac * src3(is-1,js ,ks+2)
+ $ + f2*f2*f4 * s3fac * src3(is ,js ,ks+2)
+ $ + f3*f2*f4 * s3fac * src3(is+1,js ,ks+2)
+ $ + f4*f2*f4 * s3fac * src3(is+2,js ,ks+2)
+ $ + f1*f3*f4 * s3fac * src3(is-1,js+1,ks+2)
+ $ + f2*f3*f4 * s3fac * src3(is ,js+1,ks+2)
+ $ + f3*f3*f4 * s3fac * src3(is+1,js+1,ks+2)
+ $ + f4*f3*f4 * s3fac * src3(is+2,js+1,ks+2)
+ $ + f1*f4*f4 * s3fac * src3(is-1,js+2,ks+2)
+ $ + f2*f4*f4 * s3fac * src3(is ,js+2,ks+2)
+ $ + f3*f4*f4 * s3fac * src3(is+1,js+2,ks+2)
+ $ + f4*f4*f4 * s3fac * src3(is+2,js+2,ks+2)
+ dst(id,jd,kd) = res1 + res2 + res3
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8110
+ goto 911
+
+c end i loop
+ 911 continue
+ j = j+1
+ jd = jd+1
+ js = js+1
+ if (j.lt.regjext) goto 810
+ goto 91
+
+c end j loop
+ 91 continue
+ k = k+1
+ kd = kd+1
+ ks = ks+1
+ if (k.lt.regkext) goto 80
+ goto 9
+
+c end k loop
+ 9 continue
+
+ end
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_o5.F77 b/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_o5.F77
new file mode 100644
index 000000000..28f8c155f
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_o5.F77
@@ -0,0 +1,230 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_o5.F77,v 1.3 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+
+
+
+#define CHKIDX(i,j,k, imax,jmax,kmax, where) \
+ if ((i).lt.1 .or. (i).gt.(imax) \
+ .or. (j).lt.1 .or. (j).gt.(jmax) \
+ .or. (k).lt.1 .or. (k).gt.(kmax)) then &&\
+ write (msg, '(a, " array index out of bounds: shape is (",i4,",",i4,",",i4,"), index is (",i4,",",i4,",",i4,")")') \
+ (where), (imax), (jmax), (kmax), (i), (j), (k) &&\
+ call CCTK_WARN (0, msg(1:len_trim(msg))) &&\
+ end if
+
+
+
+ subroutine prolongate_3d_real8_3tl_o5 (
+ $ src1, t1, src2, t2, src3, t3, srciext, srcjext, srckext,
+ $ dst, t, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ CCTK_REAL8 one
+ parameter (one = 1)
+
+ CCTK_REAL8 eps
+ parameter (eps = 1.0d-10)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src1(srciext,srcjext,srckext)
+ CCTK_REAL8 t1
+ CCTK_REAL8 src2(srciext,srcjext,srckext)
+ CCTK_REAL8 t2
+ CCTK_REAL8 src3(srciext,srcjext,srckext)
+ CCTK_REAL8 t3
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+ CCTK_REAL8 t
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer offsetlo, offsethi
+
+ integer regiext, regjext, regkext
+
+ integer dstifac, dstjfac, dstkfac
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ CCTK_REAL8 s1fac, s2fac, s3fac
+
+ CCTK_REAL8 dstdiv
+ integer i, j, k
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer ifac(6), jfac(6), kfac(6)
+ integer ii, jj, kk
+ CCTK_REAL8 fac
+ CCTK_REAL8 res
+ integer d
+
+ character msg*1000
+
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (mod(srcbbox(d,3), dstbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: destination strides are not integer multiples of the source strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ regkext = (regbbox(d,2) - regbbox(d,1)) / regbbox(d,3) + 1
+ dstkfac = srcbbox(d,3) / dstbbox(d,3)
+ srckoff = (regbbox(d,1) - srcbbox(d,1)) / dstbbox(d,3)
+ offsetlo = regbbox(d,3)
+ if (mod(srckoff + 0, dstkfac).eq.0) then
+ offsetlo = 0
+ if (regkext.gt.1) then
+ offsetlo = regbbox(d,3)
+ end if
+ end if
+ offsethi = regbbox(d,3)
+ if (mod(srckoff + regkext-1, dstkfac).eq.0) then
+ offsethi = 0
+ if (regkext.gt.1) then
+ offsethi = regbbox(d,3)
+ end if
+ end if
+ if (regbbox(d,1)-offsetlo.lt.srcbbox(d,1)
+ $ .or. regbbox(d,2)+offsethi.gt.srcbbox(d,2)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ dstifac = srcbbox(1,3) / dstbbox(1,3)
+ dstjfac = srcbbox(2,3) / dstbbox(2,3)
+ dstkfac = srcbbox(3,3) / dstbbox(3,3)
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Quadratic (second order) interpolation
+ if (t1.eq.t2 .or. t1.eq.t3 .or. t2.eq.t3) then
+ call CCTK_WARN (0, "Internal error: arrays have same time")
+ end if
+ if (t.lt.min(t1,t2,t3)-eps .or. t.gt.max(t1,t2,t3)+eps) then
+ call CCTK_WARN (0, "Internal error: extrapolation in time")
+ end if
+
+ s1fac = (t - t2) * (t - t3) / ((t1 - t2) * (t1 - t3))
+ s2fac = (t - t1) * (t - t3) / ((t2 - t1) * (t2 - t3))
+ s3fac = (t - t1) * (t - t2) / ((t3 - t1) * (t3 - t2))
+
+
+
+c Loop over fine region
+c (This expression cannot be evaluated as integer)
+ dstdiv = one / (120*dstifac**5) / (120*dstjfac**5) / (120*dstkfac**5)
+
+ do k = 0, regkext-1
+ k0 = (srckoff + k) / dstkfac
+ fk = mod(srckoff + k, dstkfac)
+ kfac(1) = (fk+ dstkfac) * (fk ) * (fk-dstkfac) * (fk-2*dstkfac) * (fk-3*dstkfac) * (- 1)
+ kfac(2) = (fk+2*dstkfac) * (fk ) * (fk-dstkfac) * (fk-2*dstkfac) * (fk-3*dstkfac) * ( 5)
+ kfac(3) = (fk+2*dstkfac) * (fk+dstkfac) * (fk-dstkfac) * (fk-2*dstkfac) * (fk-3*dstkfac) * (-10)
+ kfac(4) = (fk+2*dstkfac) * (fk+dstkfac) * (fk ) * (fk-2*dstkfac) * (fk-3*dstkfac) * ( 10)
+ kfac(5) = (fk+2*dstkfac) * (fk+dstkfac) * (fk ) * (fk- dstkfac) * (fk-3*dstkfac) * (- 5)
+ kfac(6) = (fk+2*dstkfac) * (fk+dstkfac) * (fk ) * (fk- dstkfac) * (fk-2*dstkfac) * ( 1)
+
+ do j = 0, regjext-1
+ j0 = (srcjoff + j) / dstjfac
+ fj = mod(srcjoff + j, dstjfac)
+ jfac(1) = (fj+ dstjfac) * (fj ) * (fj-dstjfac) * (fj-2*dstjfac) * (fj-3*dstjfac) * (- 1)
+ jfac(2) = (fj+2*dstjfac) * (fj ) * (fj-dstjfac) * (fj-2*dstjfac) * (fj-3*dstjfac) * ( 5)
+ jfac(3) = (fj+2*dstjfac) * (fj+dstjfac) * (fj-dstjfac) * (fj-2*dstjfac) * (fj-3*dstjfac) * (-10)
+ jfac(4) = (fj+2*dstjfac) * (fj+dstjfac) * (fj ) * (fj-2*dstjfac) * (fj-3*dstjfac) * ( 10)
+ jfac(5) = (fj+2*dstjfac) * (fj+dstjfac) * (fj ) * (fj- dstjfac) * (fj-3*dstjfac) * (- 5)
+ jfac(6) = (fj+2*dstjfac) * (fj+dstjfac) * (fj ) * (fj- dstjfac) * (fj-2*dstjfac) * ( 1)
+
+ do i = 0, regiext-1
+ i0 = (srcioff + i) / dstifac
+ fi = mod(srcioff + i, dstifac)
+ ifac(1) = (fi+ dstifac) * (fi ) * (fi-dstifac) * (fi-2*dstifac) * (fi-3*dstifac) * (- 1)
+ ifac(2) = (fi+2*dstifac) * (fi ) * (fi-dstifac) * (fi-2*dstifac) * (fi-3*dstifac) * ( 5)
+ ifac(3) = (fi+2*dstifac) * (fi+dstifac) * (fi-dstifac) * (fi-2*dstifac) * (fi-3*dstifac) * (-10)
+ ifac(4) = (fi+2*dstifac) * (fi+dstifac) * (fi ) * (fi-2*dstifac) * (fi-3*dstifac) * ( 10)
+ ifac(5) = (fi+2*dstifac) * (fi+dstifac) * (fi ) * (fi- dstifac) * (fi-3*dstifac) * (- 5)
+ ifac(6) = (fi+2*dstifac) * (fi+dstifac) * (fi ) * (fi- dstifac) * (fi-2*dstifac) * ( 1)
+
+ res = 0
+
+ do kk=1,6
+ do jj=1,6
+ do ii=1,6
+
+ if (ifac(ii).ne.0 .and. jfac(jj).ne.0 .and. kfac(kk).ne.0) then
+c (This expression cannot be evaluated as integer)
+ fac = one * ifac(ii) * jfac(jj) * kfac(kk)
+
+ CHKIDX (i0+ii-2, j0+jj-2, k0+kk-2, \
+ srciext,srcjext,srckext, "source")
+ res = res
+ $ + fac * s1fac * src1(i0+ii-2, j0+jj-2, k0+kk-2)
+ $ + fac * s2fac * src2(i0+ii-2, j0+jj-2, k0+kk-2)
+ $ + fac * s3fac * src3(i0+ii-2, j0+jj-2, k0+kk-2)
+ end if
+
+ end do
+ end do
+ end do
+
+ CHKIDX (dstioff+i+1, dstjoff+j+1, dstkoff+k+1, \
+ dstiext,dstjext,dstkext, "destination")
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = dstdiv * res
+
+ end do
+ end do
+ end do
+
+ end
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_rf2.F77 b/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_rf2.F77
new file mode 100644
index 000000000..a77498fef
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_rf2.F77
@@ -0,0 +1,430 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_3tl_rf2.F77,v 1.3 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+
+
+ subroutine prolongate_3d_real8_3tl_rf2 (
+ $ src1, t1, src2, t2, src3, t3, srciext, srcjext, srckext,
+ $ dst, t, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ DECLARE_CCTK_PARAMETERS
+
+ CCTK_REAL8 eps
+ parameter (eps = 1.0d-10)
+
+ CCTK_REAL8 one, half, fourth, eighth
+ parameter (one = 1)
+ parameter (half = one/2)
+ parameter (fourth = one/4)
+ parameter (eighth = one/8)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src1(srciext,srcjext,srckext)
+ CCTK_REAL8 t1
+ CCTK_REAL8 src2(srciext,srcjext,srckext)
+ CCTK_REAL8 t2
+ CCTK_REAL8 src3(srciext,srcjext,srckext)
+ CCTK_REAL8 t3
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+ CCTK_REAL8 t
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer regiext, regjext, regkext
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ CCTK_REAL8 s1fac, s2fac, s3fac
+
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer is, js, ks
+ integer id, jd, kd
+ integer i, j, k
+
+ integer d
+
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (srcbbox(d,3).ne.dstbbox(d,3)*2) then
+ call CCTK_WARN (0, "Internal error: source strides are not twice the destination strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).lt.srcbbox(d,1)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.srcbbox(d,2)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Quadratic (second order) time interpolation
+ if (t1.eq.t2 .or. t1.eq.t3 .or. t2.eq.t3) then
+ call CCTK_WARN (0, "Internal error: arrays have same time")
+ end if
+ if (t.lt.min(t1,t2,t3)-eps .or. t.gt.max(t1,t2,t3)+eps) then
+ call CCTK_WARN (0, "Internal error: extrapolation in time")
+ end if
+
+ s1fac = (t - t2) * (t - t3) / ((t1 - t2) * (t1 - t3))
+ s2fac = (t - t1) * (t - t3) / ((t2 - t1) * (t2 - t3))
+ s3fac = (t - t1) * (t - t2) / ((t3 - t1) * (t3 - t2))
+
+
+
+ fi = mod(srcioff, 2)
+ fj = mod(srcjoff, 2)
+ fk = mod(srckoff, 2)
+
+ i0 = srcioff / 2
+ j0 = srcjoff / 2
+ k0 = srckoff / 2
+
+
+
+c Loop over fine region
+c Label scheme: 8 fk fj fi
+
+c begin k loop
+ 8 continue
+ k = 0
+ ks = k0+1
+ kd = dstkoff+1
+ if (fk.eq.0) goto 80
+ if (fk.eq.1) goto 81
+ stop
+
+c begin j loop
+ 80 continue
+ j = 0
+ js = j0+1
+ jd = dstjoff+1
+ if (fj.eq.0) goto 800
+ if (fj.eq.1) goto 801
+ stop
+
+c begin i loop
+ 800 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8000
+ if (fi.eq.1) goto 8001
+ stop
+
+c kernel
+ 8000 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 1,1,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + s1fac * src1(is,js,ks)
+ $ + s2fac * src2(is,js,ks)
+ $ + s3fac * src3(is,js,ks)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8001
+ goto 900
+
+c kernel
+ 8001 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 2,1,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + half * s1fac * src1(is,js,ks) + half * s1fac * src1(is+1,js,ks)
+ $ + half * s2fac * src2(is,js,ks) + half * s2fac * src2(is+1,js,ks)
+ $ + half * s3fac * src3(is,js,ks) + half * s3fac * src3(is+1,js,ks)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8000
+ goto 900
+
+c end i loop
+ 900 continue
+ j = j+1
+ jd = jd+1
+ if (j.lt.regjext) goto 801
+ goto 90
+
+c begin i loop
+ 801 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8010
+ if (fi.eq.1) goto 8011
+ stop
+
+c kernel
+ 8010 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 1,2,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + half * s1fac * src1(is,js,ks) + half * s1fac * src1(is,js+1,ks)
+ $ + half * s2fac * src2(is,js,ks) + half * s2fac * src2(is,js+1,ks)
+ $ + half * s3fac * src3(is,js,ks) + half * s3fac * src3(is,js+1,ks)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8011
+ goto 901
+
+c kernel
+ 8011 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 2,2,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + fourth * s1fac * src1(is,js,ks)
+ $ + fourth * s1fac * src1(is+1,js,ks)
+ $ + fourth * s1fac * src1(is,js+1,ks)
+ $ + fourth * s1fac * src1(is+1,js+1,ks)
+ $ + fourth * s2fac * src2(is,js,ks)
+ $ + fourth * s2fac * src2(is+1,js,ks)
+ $ + fourth * s2fac * src2(is,js+1,ks)
+ $ + fourth * s2fac * src2(is+1,js+1,ks)
+ $ + fourth * s3fac * src3(is,js,ks)
+ $ + fourth * s3fac * src3(is+1,js,ks)
+ $ + fourth * s3fac * src3(is,js+1,ks)
+ $ + fourth * s3fac * src3(is+1,js+1,ks)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8010
+ goto 901
+
+c end i loop
+ 901 continue
+ j = j+1
+ jd = jd+1
+ js = js+1
+ if (j.lt.regjext) goto 800
+ goto 90
+
+c end j loop
+ 90 continue
+ k = k+1
+ kd = kd+1
+ if (k.lt.regkext) goto 81
+ goto 9
+
+c begin j loop
+ 81 continue
+ j = 0
+ js = j0+1
+ jd = dstjoff+1
+ if (fj.eq.0) goto 810
+ if (fj.eq.1) goto 811
+ stop
+
+c begin i loop
+ 810 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8100
+ if (fi.eq.1) goto 8101
+ stop
+
+c kernel
+ 8100 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 1,1,2, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + half * s1fac * src1(is,js,ks) + half * s1fac * src1(is,js,ks+1)
+ $ + half * s2fac * src2(is,js,ks) + half * s2fac * src2(is,js,ks+1)
+ $ + half * s3fac * src3(is,js,ks) + half * s3fac * src3(is,js,ks+1)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8101
+ goto 910
+
+c kernel
+ 8101 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 2,1,2, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + fourth * s1fac * src1(is,js,ks)
+ $ + fourth * s1fac * src1(is+1,js,ks)
+ $ + fourth * s1fac * src1(is,js,ks+1)
+ $ + fourth * s1fac * src1(is+1,js,ks+1)
+ $ + fourth * s2fac * src1(is,js,ks)
+ $ + fourth * s2fac * src2(is+1,js,ks)
+ $ + fourth * s2fac * src2(is,js,ks+1)
+ $ + fourth * s2fac * src2(is+1,js,ks+1)
+ $ + fourth * s3fac * src3(is,js,ks)
+ $ + fourth * s3fac * src3(is+1,js,ks)
+ $ + fourth * s3fac * src3(is,js,ks+1)
+ $ + fourth * s3fac * src3(is+1,js,ks+1)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8100
+ goto 910
+
+c end i loop
+ 910 continue
+ j = j+1
+ jd = jd+1
+ if (j.lt.regjext) goto 811
+ goto 91
+
+c begin i loop
+ 811 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8110
+ if (fi.eq.1) goto 8111
+ stop
+
+c kernel
+ 8110 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 1,2,2, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + fourth * s1fac * src1(is,js,ks)
+ $ + fourth * s1fac * src1(is,js+1,ks)
+ $ + fourth * s1fac * src1(is,js,ks+1)
+ $ + fourth * s1fac * src1(is,js+1,ks+1)
+ $ + fourth * s2fac * src2(is,js,ks)
+ $ + fourth * s2fac * src2(is,js+1,ks)
+ $ + fourth * s2fac * src2(is,js,ks+1)
+ $ + fourth * s2fac * src2(is,js+1,ks+1)
+ $ + fourth * s3fac * src3(is,js,ks)
+ $ + fourth * s3fac * src3(is,js+1,ks)
+ $ + fourth * s3fac * src3(is,js,ks+1)
+ $ + fourth * s3fac * src3(is,js+1,ks+1)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8111
+ goto 911
+
+c kernel
+ 8111 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 2,2,2, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + eighth * s1fac * src1(is,js,ks)
+ $ + eighth * s1fac * src1(is+1,js,ks)
+ $ + eighth * s1fac * src1(is,js+1,ks)
+ $ + eighth * s1fac * src1(is+1,js+1,ks)
+ $ + eighth * s1fac * src1(is,js,ks+1)
+ $ + eighth * s1fac * src1(is+1,js,ks+1)
+ $ + eighth * s1fac * src1(is,js+1,ks+1)
+ $ + eighth * s1fac * src1(is+1,js+1,ks+1)
+ $
+ $ + eighth * s2fac * src2(is,js,ks)
+ $ + eighth * s2fac * src2(is+1,js,ks)
+ $ + eighth * s2fac * src2(is,js+1,ks)
+ $ + eighth * s2fac * src2(is+1,js+1,ks)
+ $ + eighth * s2fac * src2(is,js,ks+1)
+ $ + eighth * s2fac * src2(is+1,js,ks+1)
+ $ + eighth * s2fac * src2(is,js+1,ks+1)
+ $ + eighth * s2fac * src2(is+1,js+1,ks+1)
+ $
+ $ + eighth * s3fac * src3(is,js,ks)
+ $ + eighth * s3fac * src3(is+1,js,ks)
+ $ + eighth * s3fac * src3(is,js+1,ks)
+ $ + eighth * s3fac * src3(is+1,js+1,ks)
+ $ + eighth * s3fac * src3(is,js,ks+1)
+ $ + eighth * s3fac * src3(is+1,js,ks+1)
+ $ + eighth * s3fac * src3(is,js+1,ks+1)
+ $ + eighth * s3fac * src3(is+1,js+1,ks+1)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8110
+ goto 911
+
+c end i loop
+ 911 continue
+ j = j+1
+ jd = jd+1
+ js = js+1
+ if (j.lt.regjext) goto 810
+ goto 91
+
+c end j loop
+ 91 continue
+ k = k+1
+ kd = kd+1
+ ks = ks+1
+ if (k.lt.regkext) goto 80
+ goto 9
+
+c end k loop
+ 9 continue
+
+ end
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_eno.F90 b/Carpet/CarpetLib/src/prolongate_3d_real8_eno.F90
new file mode 100644
index 000000000..573b279ae
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8_eno.F90
@@ -0,0 +1,299 @@
+!!$ -*-Fortran-*-
+!!$ $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_eno.F90,v 1.1 2004/03/03 15:30:40 hawke Exp $
+
+#include "cctk.h"
+
+
+!!$ This routine performs "ENO" prolongation. It is intended to be used
+!!$ with GFs that are not expected to be smooth, particularly those
+!!$ that must also obey certain constraints. The obvious example is the
+!!$ density in hydrodynamics, which may be discontinuous yet must be
+!!$ strictly positive.
+!!$
+!!$ To ensure that this prolongation method is used you should add the
+!!$ tag
+!!$
+!!$ tags='Prolongation="ENO"'
+!!$
+!!$ to the interface.ccl on the appropriate group.
+!!$
+!!$ This applies ENO2 type limiting to the slope, checking over the
+!!$ entire coarse grid cell for the least oscillatory quadratic in each
+!!$ direction. If the slope changes sign over the extrema, linear
+!!$ interpolation is used instead.
+!!$
+!!$ The actual eno1d function is defined in the routine
+!!$
+!!$ prolongate_3d_real8_eno.F77
+
+
+#define CHKIDX(i,j,k, imax,jmax,kmax, where) \
+if ((i).lt.1 .or. (i).gt.(imax) \
+ .or. (j).lt.1 .or. (j).gt.(jmax) \
+ .or. (k).lt.1 .or. (k).gt.(kmax)) then &&\
+ write (msg, '(a, " array index out of bounds: shape is (",i4,",",i4,",",i4,"), index is (",i4,",",i4,",",i4,")")') \
+ (where), (imax), (jmax), (kmax), (i), (j), (k) &&\
+ call CCTK_WARN (0, msg(1:len_trim(msg))) &&\
+end if
+
+function eno1d(q)
+
+ implicit none
+
+ CCTK_REAL8 :: eno1d
+ CCTK_REAL8 :: q(4)
+ CCTK_REAL8 :: zero, one, two, three, six, half, eighth
+ parameter (zero = 0)
+ parameter (two = 2)
+ parameter (one = 1)
+ parameter (three = 3)
+ parameter (six = 6)
+ parameter (eighth = one / 8)
+ parameter (half = one / two)
+ CCTK_REAL8 :: diffleft, diffright
+
+!!$ Directly find the second undivided differences
+
+ diffleft = q(1) + q(3) - two * q(2)
+ diffright = q(2) + q(4) - two * q(3)
+
+ if ( abs(diffleft) .lt. abs(diffright) ) then
+
+!!$ Apply the left quadratic
+
+ eno1d = eighth * (-q(1) + six * q(2) + three * q(3))
+
+ else
+
+!!$ Apply the right quadratic
+
+ eno1d = eighth * (three * q(2) + six * q(3) - q(4))
+
+ end if
+
+!!$ Check that the quadratic is reasonable
+
+ if ( (q(2)-eno1d) * (q(3)-eno1d) .lt. zero ) then
+
+!!$ Not reasonable. Linear interpolation
+
+ eno1d = half * (q(2) + q(3))
+
+ end if
+
+end function eno1d
+
+subroutine prolongate_3d_real8_eno (src, srciext, srcjext, &
+ srckext, dst, dstiext, dstjext, dstkext, srcbbox, &
+ dstbbox, regbbox)
+
+ implicit none
+
+ CCTK_REAL8 one
+ parameter (one = 1)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src(srciext,srcjext,srckext)
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+!!$ bbox(:,1) is lower boundary (inclusive)
+!!$ bbox(:,2) is upper boundary (inclusive)
+!!$ bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer offsetlo, offsethi
+
+ integer regiext, regjext, regkext
+
+ integer dstifac, dstjfac, dstkfac
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ integer i, j, k
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer ifac(4), jfac(4), kfac(4)
+ integer ii, jj, kk
+ integer fac
+ CCTK_REAL8 res
+ integer d
+
+ character msg*1000
+
+ CCTK_REAL8, dimension(0:3,0:3) :: tmp1
+ CCTK_REAL8, dimension(0:3) :: tmp2
+
+ external eno1d
+ CCTK_REAL8 eno1d
+
+ CCTK_REAL8 half, zero
+ parameter (half = 0.5)
+ parameter (zero = 0)
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0 &
+ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3) &
+ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (mod(srcbbox(d,3), dstbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: destination strides are not integer multiples of the source strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0 &
+ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0 &
+ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+!!$ This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ regkext = (regbbox(d,2) - regbbox(d,1)) / regbbox(d,3) + 1
+ dstkfac = srcbbox(d,3) / dstbbox(d,3)
+ srckoff = (regbbox(d,1) - srcbbox(d,1)) / dstbbox(d,3)
+ offsetlo = regbbox(d,3)
+ if (mod(srckoff + 0, dstkfac).eq.0) then
+ offsetlo = 0
+ if (regkext.gt.1) then
+ offsetlo = regbbox(d,3)
+ end if
+ end if
+ offsethi = regbbox(d,3)
+ if (mod(srckoff + regkext-1, dstkfac).eq.0) then
+ offsethi = 0
+ if (regkext.gt.1) then
+ offsethi = regbbox(d,3)
+ end if
+ end if
+ if (regbbox(d,1)-offsetlo.lt.srcbbox(d,1) &
+ .or. regbbox(d,2)+offsethi.gt.srcbbox(d,2) &
+ .or. regbbox(d,1).lt.dstbbox(d,1) &
+ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1 &
+ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1 &
+ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1 &
+ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1 &
+ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1 &
+ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ dstifac = srcbbox(1,3) / dstbbox(1,3)
+ dstjfac = srcbbox(2,3) / dstbbox(2,3)
+ dstkfac = srcbbox(3,3) / dstbbox(3,3)
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+!!$ Loop over fine region
+
+ do k = 0, regkext-1
+ k0 = (srckoff + k) / dstkfac
+ fk = mod(srckoff + k, dstkfac)
+
+ do j = 0, regjext-1
+ j0 = (srcjoff + j) / dstjfac
+ fj = mod(srcjoff + j, dstjfac)
+
+ do i = 0, regiext-1
+ i0 = (srcioff + i) / dstifac
+ fi = mod(srcioff + i, dstifac)
+
+!!$ Where is the fine grid point w.r.t the coarse grid?
+
+ select case (fi + 10*fj + 100*fk)
+ case (0)
+!!$ On a coarse grid point exactly!
+
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = &
+ src(i0+1,j0+1,k0+1)
+
+ case (1)
+!!$ Interpolate only in x
+
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = &
+ eno1d(src(i0:i0+3,j0+1,k0+1))
+
+ case (10)
+!!$ Interpolate only in y
+
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = &
+ eno1d(src(i0+1,j0:j0+3,k0+1))
+
+ case (11)
+!!$ Interpolate only in x and y
+
+ do jj = 0, 3
+ tmp2(jj) = eno1d(src(i0:i0+3,j0+jj,k0+1))
+ end do
+
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = &
+ eno1d(tmp2(0:3))
+
+ case (100)
+!!$ Interpolate only in z
+
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = &
+ eno1d(src(i0+1,j0+1,k0:k0+3))
+
+ case (101)
+!!$ Interpolate only in x and z
+
+ do kk = 0, 3
+ tmp2(kk) = eno1d(src(i0:i0+3,j0+1,k0+kk))
+ end do
+
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = &
+ eno1d(tmp2(0:3))
+
+ case (110)
+!!$ Interpolate only in y and z
+
+ do kk = 0, 3
+ tmp2(kk) = eno1d(src(i0+1,j0:j0+3,k0+kk))
+ end do
+
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = &
+ eno1d(tmp2(0:3))
+
+ case (111)
+!!$ Interpolate in all of x, y, and z
+
+ do jj = 0, 3
+ do kk = 0, 3
+ tmp1(jj,kk) = eno1d(src(i0:i0+3,j0+jj,k0+kk))
+ end do
+ end do
+ do ii = 0, 3
+ tmp2(ii) = eno1d(tmp1(0:3,ii))
+ end do
+
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = &
+ eno1d(tmp2(0:3))
+
+ case default
+ call CCTK_WARN(0, "Internal error in ENO prolongation. Should only be used with refinement factor 2!")
+ end select
+
+ end do
+ end do
+ end do
+
+end subroutine prolongate_3d_real8_eno
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_minmod.F77 b/Carpet/CarpetLib/src/prolongate_3d_real8_minmod.F77
new file mode 100644
index 000000000..a8dc28af4
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8_minmod.F77
@@ -0,0 +1,264 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_minmod.F77,v 1.4 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+
+
+c$$$ This routine performs "TVD" prolongation. It is intended to be used
+c$$$ with GFs that are not expected to be smooth, particularly those
+c$$$ that must also obey certain constraints. The obvious example is the
+c$$$ density in hydrodynamics, which may be discontinuous yet must be
+c$$$ strictly positive.
+c$$$
+c$$$ To ensure that this prolongation method is used you should add the
+c$$$ tag
+c$$$
+c$$$ tags='Prolongation="TVD"'
+c$$$
+c$$$ to the interface.ccl on the appropriate group.
+c$$$
+c$$$ This applies minmod type limiting to the slope, checking over the
+c$$$ entire coarse grid cell for the minimum modulus in each direction.
+c$$$
+c$$$ The actual minmod function is defined in the routine
+c$$$
+c$$$ prolongate_3d_real8_minmod.F77
+
+
+#define CHKIDX(i,j,k, imax,jmax,kmax, where) \
+ if ((i).lt.1 .or. (i).gt.(imax) \
+ .or. (j).lt.1 .or. (j).gt.(jmax) \
+ .or. (k).lt.1 .or. (k).gt.(kmax)) then &&\
+ write (msg, '(a, " array index out of bounds: shape is (",i4,",",i4,",",i4,"), index is (",i4,",",i4,",",i4,")")') \
+ (where), (imax), (jmax), (kmax), (i), (j), (k) &&\
+ call CCTK_WARN (0, msg(1:len_trim(msg))) &&\
+ end if
+
+ function minmod(a, b)
+
+ implicit none
+
+ CCTK_REAL8 minmod
+ CCTK_REAL8 a, b
+ CCTK_REAL8 zero
+ parameter (zero = 0)
+
+ if (a * b .lt. zero) then
+ minmod = zero
+ else if (abs(a) < abs(b)) then
+ minmod = a
+ else
+ minmod = b
+ end if
+
+ end function
+
+ subroutine prolongate_3d_real8_minmod (
+ $ src, srciext, srcjext, srckext,
+ $ dst, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ CCTK_REAL8 one
+ parameter (one = 1)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src(srciext,srcjext,srckext)
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer offsetlo, offsethi
+
+ integer regiext, regjext, regkext
+
+ integer dstifac, dstjfac, dstkfac
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ integer i, j, k
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer ifac(4), jfac(4), kfac(4)
+ integer ii, jj, kk
+ integer fac
+ CCTK_REAL8 res
+ integer d
+
+ character msg*1000
+
+ external minmod
+ CCTK_REAL8 minmod
+
+ CCTK_REAL8 half, zero
+ parameter (half = 0.5)
+ parameter (zero = 0)
+ CCTK_REAL8 dupw, dloc, slopex, slopey, slopez
+ logical firstloop
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (mod(srcbbox(d,3), dstbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: destination strides are not integer multiples of the source strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ regkext = (regbbox(d,2) - regbbox(d,1)) / regbbox(d,3) + 1
+ dstkfac = srcbbox(d,3) / dstbbox(d,3)
+ srckoff = (regbbox(d,1) - srcbbox(d,1)) / dstbbox(d,3)
+ offsetlo = regbbox(d,3)
+ if (mod(srckoff + 0, dstkfac).eq.0) then
+ offsetlo = 0
+ if (regkext.gt.1) then
+ offsetlo = regbbox(d,3)
+ end if
+ end if
+ offsethi = regbbox(d,3)
+ if (mod(srckoff + regkext-1, dstkfac).eq.0) then
+ offsethi = 0
+ if (regkext.gt.1) then
+ offsethi = regbbox(d,3)
+ end if
+ end if
+ if (regbbox(d,1)-offsetlo.lt.srcbbox(d,1)
+ $ .or. regbbox(d,2)+offsethi.gt.srcbbox(d,2)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ dstifac = srcbbox(1,3) / dstbbox(1,3)
+ dstjfac = srcbbox(2,3) / dstbbox(2,3)
+ dstkfac = srcbbox(3,3) / dstbbox(3,3)
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Loop over fine region
+
+ do k = 0, regkext-1
+ k0 = (srckoff + k) / dstkfac
+ fk = mod(srckoff + k, dstkfac)
+
+ do j = 0, regjext-1
+ j0 = (srcjoff + j) / dstjfac
+ fj = mod(srcjoff + j, dstjfac)
+
+ do i = 0, regiext-1
+ i0 = (srcioff + i) / dstifac
+ fi = mod(srcioff + i, dstifac)
+
+ slopex = zero
+ slopey = zero
+ slopez = zero
+
+ firstloop = .true.
+
+ do kk = 1, 2
+ do jj = 1, 2
+
+ dupw = src(i0+1 ,j0+jj,k0+kk) - src(i0+0 ,j0+jj,k0+kk)
+ dloc = src(i0+2 ,j0+jj,k0+kk) - src(i0+1 ,j0+kk,k0+kk)
+ if (firstloop) then
+ slopex = half * dble(fi) * minmod(dupw,dloc)
+ firstloop = .false.
+ else
+ slopex =
+ $ minmod(slopex, half * dble(fi) * minmod(dupw,dloc))
+ end if
+ end do
+ end do
+
+ firstloop = .true.
+
+ do kk = 1, 2
+ do ii = 1, 2
+
+ dupw = src(i0+ii,j0+1 ,k0+kk) - src(i0+ii,j0+0 ,k0+kk)
+ dloc = src(i0+ii,j0+2 ,k0+kk) - src(i0+ii,j0+1 ,k0+kk)
+ if (firstloop) then
+ slopey = half * dble(fj) * minmod(dupw,dloc)
+ firstloop = .false.
+ else
+ slopey =
+ $ minmod(slopey, half * dble(fj) * minmod(dupw,dloc))
+ end if
+ end do
+ end do
+
+ firstloop = .true.
+
+ do jj = 1, 2
+ do ii = 1, 2
+
+ dupw = src(i0+ii,j0+jj,k0+1 ) - src(i0+ii,j0+jj,k0+0 )
+ dloc = src(i0+ii,j0+jj,k0+2 ) - src(i0+ii,j0+jj,k0+1 )
+ if (firstloop) then
+ slopez = half * dble(fk) * minmod(dupw,dloc)
+ firstloop = .false.
+ else
+ slopez =
+ $ minmod(slopez, half * dble(fk) * minmod(dupw,dloc))
+ end if
+ end do
+ end do
+
+ CHKIDX (dstioff+i+1, dstjoff+j+1, dstkoff+k+1, \
+ dstiext,dstjext,dstkext, "destination")
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) =
+ . src(i0+1,j0+1,k0+1) + slopex + slopey + slopez
+
+
+ end do
+ end do
+ end do
+
+ end
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_o3.F77 b/Carpet/CarpetLib/src/prolongate_3d_real8_o3.F77
new file mode 100644
index 000000000..21d82a733
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8_o3.F77
@@ -0,0 +1,194 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_o3.F77,v 1.9 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+
+
+
+#define CHKIDX(i,j,k, imax,jmax,kmax, where) \
+ if ((i).lt.1 .or. (i).gt.(imax) \
+ .or. (j).lt.1 .or. (j).gt.(jmax) \
+ .or. (k).lt.1 .or. (k).gt.(kmax)) then &&\
+ write (msg, '(a, " array index out of bounds: shape is (",i4,",",i4,",",i4,"), index is (",i4,",",i4,",",i4,")")') \
+ (where), (imax), (jmax), (kmax), (i), (j), (k) &&\
+ call CCTK_WARN (0, msg(1:len_trim(msg))) &&\
+ end if
+
+
+
+ subroutine prolongate_3d_real8_o3 (
+ $ src, srciext, srcjext, srckext,
+ $ dst, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ CCTK_REAL8 one
+ parameter (one = 1)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src(srciext,srcjext,srckext)
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer offsetlo, offsethi
+
+ integer regiext, regjext, regkext
+
+ integer dstifac, dstjfac, dstkfac
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ CCTK_REAL8 dstdiv
+ integer i, j, k
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer ifac(4), jfac(4), kfac(4)
+ integer ii, jj, kk
+ integer fac
+ CCTK_REAL8 res
+ integer d
+
+ character msg*1000
+
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (mod(srcbbox(d,3), dstbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: destination strides are not integer multiples of the source strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ regkext = (regbbox(d,2) - regbbox(d,1)) / regbbox(d,3) + 1
+ dstkfac = srcbbox(d,3) / dstbbox(d,3)
+ srckoff = (regbbox(d,1) - srcbbox(d,1)) / dstbbox(d,3)
+ offsetlo = regbbox(d,3)
+ if (mod(srckoff + 0, dstkfac).eq.0) then
+ offsetlo = 0
+ if (regkext.gt.1) then
+ offsetlo = regbbox(d,3)
+ end if
+ end if
+ offsethi = regbbox(d,3)
+ if (mod(srckoff + regkext-1, dstkfac).eq.0) then
+ offsethi = 0
+ if (regkext.gt.1) then
+ offsethi = regbbox(d,3)
+ end if
+ end if
+ if (regbbox(d,1)-offsetlo.lt.srcbbox(d,1)
+ $ .or. regbbox(d,2)+offsethi.gt.srcbbox(d,2)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ dstifac = srcbbox(1,3) / dstbbox(1,3)
+ dstjfac = srcbbox(2,3) / dstbbox(2,3)
+ dstkfac = srcbbox(3,3) / dstbbox(3,3)
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Loop over fine region
+ dstdiv = one / (6*dstifac**3 * 6*dstjfac**3 * 6*dstkfac**3)
+
+ do k = 0, regkext-1
+ k0 = (srckoff + k) / dstkfac
+ fk = mod(srckoff + k, dstkfac)
+ kfac(1) = (fk ) * (fk-dstkfac) * (fk-2*dstkfac) * (-1)
+ kfac(2) = (fk+dstkfac) * (fk-dstkfac) * (fk-2*dstkfac) * 3
+ kfac(3) = (fk+dstkfac) * (fk ) * (fk-2*dstkfac) * (-3)
+ kfac(4) = (fk+dstkfac) * (fk ) * (fk- dstkfac) * 1
+
+ do j = 0, regjext-1
+ j0 = (srcjoff + j) / dstjfac
+ fj = mod(srcjoff + j, dstjfac)
+ jfac(1) = (fj ) * (fj-dstjfac) * (fj-2*dstjfac) * (-1)
+ jfac(2) = (fj+dstjfac) * (fj-dstjfac) * (fj-2*dstjfac) * 3
+ jfac(3) = (fj+dstjfac) * (fj ) * (fj-2*dstjfac) * (-3)
+ jfac(4) = (fj+dstjfac) * (fj ) * (fj- dstjfac) * 1
+
+ do i = 0, regiext-1
+ i0 = (srcioff + i) / dstifac
+ fi = mod(srcioff + i, dstifac)
+ ifac(1) = (fi ) * (fi-dstifac) * (fi-2*dstifac) * (-1)
+ ifac(2) = (fi+dstifac) * (fi-dstifac) * (fi-2*dstifac) * 3
+ ifac(3) = (fi+dstifac) * (fi ) * (fi-2*dstifac) * (-3)
+ ifac(4) = (fi+dstifac) * (fi ) * (fi- dstifac) * 1
+
+ res = 0
+
+ do kk=1,4
+ do jj=1,4
+ do ii=1,4
+
+ fac = ifac(ii) * jfac(jj) * kfac(kk)
+
+ if (fac.ne.0) then
+ CHKIDX (i0+ii-1, j0+jj-1, k0+kk-1, \
+ srciext,srcjext,srckext, "source")
+ res = res + fac * src(i0+ii-1, j0+jj-1, k0+kk-1)
+ end if
+
+ end do
+ end do
+ end do
+
+ CHKIDX (dstioff+i+1, dstjoff+j+1, dstkoff+k+1, \
+ dstiext,dstjext,dstkext, "destination")
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = dstdiv * res
+
+ end do
+ end do
+ end do
+
+ end
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_o3_rf2.F77 b/Carpet/CarpetLib/src/prolongate_3d_real8_o3_rf2.F77
new file mode 100644
index 000000000..8a3b2629d
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8_o3_rf2.F77
@@ -0,0 +1,420 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_o3_rf2.F77,v 1.2 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+
+
+ subroutine prolongate_3d_real8_o3_rf2 (
+ $ src, srciext, srcjext, srckext,
+ $ dst, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ DECLARE_CCTK_PARAMETERS
+
+ CCTK_REAL8 one, half, fourth, eighth, sixteenth
+ parameter (one = 1)
+ parameter (half = one/2)
+ parameter (fourth = one/4)
+ parameter (eighth = one/8)
+ parameter (sixteenth = one/16)
+ CCTK_REAL8 f1, f2, f3, f4
+ parameter (f1 = - sixteenth)
+ parameter (f2 = 9*sixteenth)
+ parameter (f3 = 9*sixteenth)
+ parameter (f4 = - sixteenth)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src(srciext,srcjext,srckext)
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer regiext, regjext, regkext
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ integer offsetlo, offsethi
+
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer is, js, ks
+ integer id, jd, kd
+ integer i, j, k
+
+ integer d
+
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (srcbbox(d,3).ne.dstbbox(d,3)*2) then
+ call CCTK_WARN (0, "Internal error: source strides are not twice the destination strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ regkext = (regbbox(d,2) - regbbox(d,1)) / regbbox(d,3) + 1
+ srckoff = (regbbox(d,1) - srcbbox(d,1)) / dstbbox(d,3)
+ offsetlo = regbbox(d,3)
+ if (mod(srckoff, 2).eq.0) then
+ offsetlo = 0
+ if (regkext.gt.1) then
+ offsetlo = regbbox(d,3)
+ end if
+ end if
+ offsethi = regbbox(d,3)
+ if (mod(srckoff + regkext-1, 2).eq.0) then
+ offsethi = 0
+ if (regkext.gt.1) then
+ offsethi = regbbox(d,3)
+ end if
+ end if
+ if (regbbox(d,1)-offsetlo.lt.srcbbox(d,1)
+ $ .or. regbbox(d,2)+offsethi.gt.srcbbox(d,2)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+ fi = mod(srcioff, 2)
+ fj = mod(srcjoff, 2)
+ fk = mod(srckoff, 2)
+
+ i0 = srcioff / 2
+ j0 = srcjoff / 2
+ k0 = srckoff / 2
+
+
+
+c Loop over fine region
+c Label scheme: 8 fk fj fi
+
+c begin k loop
+ 8 continue
+ k = 0
+ ks = k0+1
+ kd = dstkoff+1
+ if (fk.eq.0) goto 80
+ if (fk.eq.1) goto 81
+ stop
+
+c begin j loop
+ 80 continue
+ j = 0
+ js = j0+1
+ jd = dstjoff+1
+ if (fj.eq.0) goto 800
+ if (fj.eq.1) goto 801
+ stop
+
+c begin i loop
+ 800 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8000
+ if (fi.eq.1) goto 8001
+ stop
+
+c kernel
+ 8000 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 1,1,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) = src(is,js,ks)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8001
+ goto 900
+
+c kernel
+ 8001 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is-1,js,ks, 4,1,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + f1 * src(is-1,js,ks) + f2 * src(is ,js,ks)
+ $ + f3 * src(is+1,js,ks) + f4 * src(is+2,js,ks)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8000
+ goto 900
+
+c end i loop
+ 900 continue
+ j = j+1
+ jd = jd+1
+ if (j.lt.regjext) goto 801
+ goto 90
+
+c begin i loop
+ 801 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8010
+ if (fi.eq.1) goto 8011
+ stop
+
+c kernel
+ 8010 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js-1,ks, 1,4,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + f1 * src(is,js-1,ks) + f2 * src(is,js ,ks)
+ $ + f3 * src(is,js+1,ks) + f4 * src(is,js+2,ks)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8011
+ goto 901
+
+c kernel
+ 8011 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is-1,js-1,ks, 4,4,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + f1*f1 * src(is-1,js-1,ks) + f2*f1 * src(is ,js-1,ks)
+ $ + f3*f1 * src(is+1,js-1,ks) + f4*f1 * src(is+2,js-1,ks)
+ $ + f1*f2 * src(is-1,js ,ks) + f2*f2 * src(is ,js ,ks)
+ $ + f3*f2 * src(is+1,js ,ks) + f4*f2 * src(is+2,js ,ks)
+ $ + f1*f3 * src(is-1,js+1,ks) + f2*f3 * src(is ,js+1,ks)
+ $ + f3*f3 * src(is+1,js+1,ks) + f4*f3 * src(is+2,js+1,ks)
+ $ + f1*f4 * src(is-1,js+2,ks) + f2*f4 * src(is ,js+2,ks)
+ $ + f3*f4 * src(is+1,js+2,ks) + f4*f4 * src(is+2,js+2,ks)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8010
+ goto 901
+
+c end i loop
+ 901 continue
+ j = j+1
+ jd = jd+1
+ js = js+1
+ if (j.lt.regjext) goto 800
+ goto 90
+
+c end j loop
+ 90 continue
+ k = k+1
+ kd = kd+1
+ if (k.lt.regkext) goto 81
+ goto 9
+
+c begin j loop
+ 81 continue
+ j = 0
+ js = j0+1
+ jd = dstjoff+1
+ if (fj.eq.0) goto 810
+ if (fj.eq.1) goto 811
+ stop
+
+c begin i loop
+ 810 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8100
+ if (fi.eq.1) goto 8101
+ stop
+
+c kernel
+ 8100 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks-1, 1,1,4, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + f1 * src(is,js,ks-1) + f2 * src(is,js,ks )
+ $ + f3 * src(is,js,ks+1) + f4 * src(is,js,ks+2)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8101
+ goto 910
+
+c kernel
+ 8101 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is-1,js,ks-1, 4,1,4, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + f1*f1 * src(is-1,js,ks-1) + f2*f1 * src(is ,js,ks-1)
+ $ + f3*f1 * src(is+1,js,ks-1) + f4*f1 * src(is+2,js,ks-1)
+ $ + f1*f2 * src(is-1,js,ks ) + f2*f2 * src(is ,js,ks )
+ $ + f3*f2 * src(is+1,js,ks ) + f4*f2 * src(is+2,js,ks )
+ $ + f1*f3 * src(is-1,js,ks+1) + f2*f3 * src(is ,js,ks+1)
+ $ + f3*f3 * src(is+1,js,ks+1) + f4*f3 * src(is+2,js,ks+1)
+ $ + f1*f4 * src(is-1,js,ks+2) + f2*f4 * src(is ,js,ks+2)
+ $ + f3*f4 * src(is+1,js,ks+2) + f4*f4 * src(is+2,js,ks+2)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8100
+ goto 910
+
+c end i loop
+ 910 continue
+ j = j+1
+ jd = jd+1
+ if (j.lt.regjext) goto 811
+ goto 91
+
+c begin i loop
+ 811 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8110
+ if (fi.eq.1) goto 8111
+ stop
+
+c kernel
+ 8110 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js-1,ks-1, 1,4,4, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + f1*f1 * src(is,js-1,ks-1) + f2*f1 * src(is,js ,ks-1)
+ $ + f3*f1 * src(is,js+1,ks-1) + f4*f1 * src(is,js+2,ks-1)
+ $ + f1*f2 * src(is,js-1,ks ) + f2*f2 * src(is,js ,ks )
+ $ + f3*f2 * src(is,js+1,ks ) + f4*f2 * src(is,js+2,ks )
+ $ + f1*f3 * src(is,js-1,ks+1) + f2*f3 * src(is,js ,ks+1)
+ $ + f3*f3 * src(is,js+1,ks+1) + f4*f3 * src(is,js+2,ks+1)
+ $ + f1*f4 * src(is,js-1,ks+2) + f2*f4 * src(is,js ,ks+2)
+ $ + f3*f4 * src(is,js+1,ks+2) + f4*f4 * src(is,js+2,ks+2)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8111
+ goto 911
+
+c kernel
+ 8111 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is-1,js-1,ks-1, 4,4,4, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + f1*f1*f1 * src(is-1,js-1,ks-1) + f2*f1*f1 * src(is ,js-1,ks-1)
+ $ + f3*f1*f1 * src(is+1,js-1,ks-1) + f4*f1*f1 * src(is+2,js-1,ks-1)
+ $ + f1*f2*f1 * src(is-1,js ,ks-1) + f2*f2*f1 * src(is ,js ,ks-1)
+ $ + f3*f2*f1 * src(is+1,js ,ks-1) + f4*f2*f1 * src(is+2,js ,ks-1)
+ $ + f1*f3*f1 * src(is-1,js+1,ks-1) + f2*f3*f1 * src(is ,js+1,ks-1)
+ $ + f3*f3*f1 * src(is+1,js+1,ks-1) + f4*f3*f1 * src(is+2,js+1,ks-1)
+ $ + f1*f4*f1 * src(is-1,js+2,ks-1) + f2*f4*f1 * src(is ,js+2,ks-1)
+ $ + f3*f4*f1 * src(is+1,js+2,ks-1) + f4*f4*f1 * src(is+2,js+2,ks-1)
+ $
+ $ + f1*f1*f2 * src(is-1,js-1,ks ) + f2*f1*f2 * src(is ,js-1,ks )
+ $ + f3*f1*f2 * src(is+1,js-1,ks ) + f4*f1*f2 * src(is+2,js-1,ks )
+ $ + f1*f2*f2 * src(is-1,js ,ks ) + f2*f2*f2 * src(is ,js ,ks )
+ $ + f3*f2*f2 * src(is+1,js ,ks ) + f4*f2*f2 * src(is+2,js ,ks )
+ $ + f1*f3*f2 * src(is-1,js+1,ks ) + f2*f3*f2 * src(is ,js+1,ks )
+ $ + f3*f3*f2 * src(is+1,js+1,ks ) + f4*f3*f2 * src(is+2,js+1,ks )
+ $ + f1*f4*f2 * src(is-1,js+2,ks ) + f2*f4*f2 * src(is ,js+2,ks )
+ $ + f3*f4*f2 * src(is+1,js+2,ks ) + f4*f4*f2 * src(is+2,js+2,ks )
+ $
+ $ + f1*f1*f3 * src(is-1,js-1,ks+1) + f2*f1*f3 * src(is ,js-1,ks+1)
+ $ + f3*f1*f3 * src(is+1,js-1,ks+1) + f4*f1*f3 * src(is+2,js-1,ks+1)
+ $ + f1*f2*f3 * src(is-1,js ,ks+1) + f2*f2*f3 * src(is ,js ,ks+1)
+ $ + f3*f2*f3 * src(is+1,js ,ks+1) + f4*f2*f3 * src(is+2,js ,ks+1)
+ $ + f1*f3*f3 * src(is-1,js+1,ks+1) + f2*f3*f3 * src(is ,js+1,ks+1)
+ $ + f3*f3*f3 * src(is+1,js+1,ks+1) + f4*f3*f3 * src(is+2,js+1,ks+1)
+ $ + f1*f4*f3 * src(is-1,js+2,ks+1) + f2*f4*f3 * src(is ,js+2,ks+1)
+ $ + f3*f4*f3 * src(is+1,js+2,ks+1) + f4*f4*f3 * src(is+2,js+2,ks+1)
+ $
+ $ + f1*f1*f4 * src(is-1,js-1,ks+2) + f2*f1*f4 * src(is ,js-1,ks+2)
+ $ + f3*f1*f4 * src(is+1,js-1,ks+2) + f4*f1*f4 * src(is+2,js-1,ks+2)
+ $ + f1*f2*f4 * src(is-1,js ,ks+2) + f2*f2*f4 * src(is ,js ,ks+2)
+ $ + f3*f2*f4 * src(is+1,js ,ks+2) + f4*f2*f4 * src(is+2,js ,ks+2)
+ $ + f1*f3*f4 * src(is-1,js+1,ks+2) + f2*f3*f4 * src(is ,js+1,ks+2)
+ $ + f3*f3*f4 * src(is+1,js+1,ks+2) + f4*f3*f4 * src(is+2,js+1,ks+2)
+ $ + f1*f4*f4 * src(is-1,js+2,ks+2) + f2*f4*f4 * src(is ,js+2,ks+2)
+ $ + f3*f4*f4 * src(is+1,js+2,ks+2) + f4*f4*f4 * src(is+2,js+2,ks+2)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8110
+ goto 911
+
+c end i loop
+ 911 continue
+ j = j+1
+ jd = jd+1
+ js = js+1
+ if (j.lt.regjext) goto 810
+ goto 91
+
+c end j loop
+ 91 continue
+ k = k+1
+ kd = kd+1
+ ks = ks+1
+ if (k.lt.regkext) goto 80
+ goto 9
+
+c end k loop
+ 9 continue
+
+ end
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_o5.F77 b/Carpet/CarpetLib/src/prolongate_3d_real8_o5.F77
new file mode 100644
index 000000000..8c86178ad
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8_o5.F77
@@ -0,0 +1,205 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_o5.F77,v 1.2 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+
+
+
+#define CHKIDX(i,j,k, imax,jmax,kmax, where) \
+ if ((i).lt.1 .or. (i).gt.(imax) \
+ .or. (j).lt.1 .or. (j).gt.(jmax) \
+ .or. (k).lt.1 .or. (k).gt.(kmax)) then &&\
+ write (msg, '(a, " array index out of bounds: shape is (",i4,",",i4,",",i4,"), index is (",i4,",",i4,",",i4,")")') \
+ (where), (imax), (jmax), (kmax), (i), (j), (k) &&\
+ call CCTK_WARN (0, msg(1:len_trim(msg))) &&\
+ end if
+
+
+
+ subroutine prolongate_3d_real8_o5 (
+ $ src, srciext, srcjext, srckext,
+ $ dst, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ CCTK_REAL8 one
+ parameter (one = 1)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src(srciext,srcjext,srckext)
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+ CCTK_REAL8 t
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer offsetlo, offsethi
+
+ integer regiext, regjext, regkext
+
+ integer dstifac, dstjfac, dstkfac
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ CCTK_REAL8 s1fac, s2fac, s3fac
+
+ CCTK_REAL8 dstdiv
+ integer i, j, k
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer ifac(6), jfac(6), kfac(6)
+ integer ii, jj, kk
+ CCTK_REAL8 fac
+ CCTK_REAL8 res
+ integer d
+
+ character msg*1000
+
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (mod(srcbbox(d,3), dstbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: destination strides are not integer multiples of the source strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ regkext = (regbbox(d,2) - regbbox(d,1)) / regbbox(d,3) + 1
+ dstkfac = srcbbox(d,3) / dstbbox(d,3)
+ srckoff = (regbbox(d,1) - srcbbox(d,1)) / dstbbox(d,3)
+ offsetlo = regbbox(d,3)
+ if (mod(srckoff + 0, dstkfac).eq.0) then
+ offsetlo = 0
+ if (regkext.gt.1) then
+ offsetlo = regbbox(d,3)
+ end if
+ end if
+ offsethi = regbbox(d,3)
+ if (mod(srckoff + regkext-1, dstkfac).eq.0) then
+ offsethi = 0
+ if (regkext.gt.1) then
+ offsethi = regbbox(d,3)
+ end if
+ end if
+ if (regbbox(d,1)-offsetlo.lt.srcbbox(d,1)
+ $ .or. regbbox(d,2)+offsethi.gt.srcbbox(d,2)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ dstifac = srcbbox(1,3) / dstbbox(1,3)
+ dstjfac = srcbbox(2,3) / dstbbox(2,3)
+ dstkfac = srcbbox(3,3) / dstbbox(3,3)
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Loop over fine region
+c (This expression cannot be evaluated as integer)
+ dstdiv = one / (120*dstifac**5) / (120*dstjfac**5) / (120*dstkfac**5)
+
+ do k = 0, regkext-1
+ k0 = (srckoff + k) / dstkfac
+ fk = mod(srckoff + k, dstkfac)
+ kfac(1) = (fk+ dstkfac) * (fk ) * (fk-dstkfac) * (fk-2*dstkfac) * (fk-3*dstkfac) * (- 1)
+ kfac(2) = (fk+2*dstkfac) * (fk ) * (fk-dstkfac) * (fk-2*dstkfac) * (fk-3*dstkfac) * ( 5)
+ kfac(3) = (fk+2*dstkfac) * (fk+dstkfac) * (fk-dstkfac) * (fk-2*dstkfac) * (fk-3*dstkfac) * (-10)
+ kfac(4) = (fk+2*dstkfac) * (fk+dstkfac) * (fk ) * (fk-2*dstkfac) * (fk-3*dstkfac) * ( 10)
+ kfac(5) = (fk+2*dstkfac) * (fk+dstkfac) * (fk ) * (fk- dstkfac) * (fk-3*dstkfac) * (- 5)
+ kfac(6) = (fk+2*dstkfac) * (fk+dstkfac) * (fk ) * (fk- dstkfac) * (fk-2*dstkfac) * ( 1)
+
+ do j = 0, regjext-1
+ j0 = (srcjoff + j) / dstjfac
+ fj = mod(srcjoff + j, dstjfac)
+ jfac(1) = (fj+ dstjfac) * (fj ) * (fj-dstjfac) * (fj-2*dstjfac) * (fj-3*dstjfac) * (- 1)
+ jfac(2) = (fj+2*dstjfac) * (fj ) * (fj-dstjfac) * (fj-2*dstjfac) * (fj-3*dstjfac) * ( 5)
+ jfac(3) = (fj+2*dstjfac) * (fj+dstjfac) * (fj-dstjfac) * (fj-2*dstjfac) * (fj-3*dstjfac) * (-10)
+ jfac(4) = (fj+2*dstjfac) * (fj+dstjfac) * (fj ) * (fj-2*dstjfac) * (fj-3*dstjfac) * ( 10)
+ jfac(5) = (fj+2*dstjfac) * (fj+dstjfac) * (fj ) * (fj- dstjfac) * (fj-3*dstjfac) * (- 5)
+ jfac(6) = (fj+2*dstjfac) * (fj+dstjfac) * (fj ) * (fj- dstjfac) * (fj-2*dstjfac) * ( 1)
+
+ do i = 0, regiext-1
+ i0 = (srcioff + i) / dstifac
+ fi = mod(srcioff + i, dstifac)
+ ifac(1) = (fi+ dstifac) * (fi ) * (fi-dstifac) * (fi-2*dstifac) * (fi-3*dstifac) * (- 1)
+ ifac(2) = (fi+2*dstifac) * (fi ) * (fi-dstifac) * (fi-2*dstifac) * (fi-3*dstifac) * ( 5)
+ ifac(3) = (fi+2*dstifac) * (fi+dstifac) * (fi-dstifac) * (fi-2*dstifac) * (fi-3*dstifac) * (-10)
+ ifac(4) = (fi+2*dstifac) * (fi+dstifac) * (fi ) * (fi-2*dstifac) * (fi-3*dstifac) * ( 10)
+ ifac(5) = (fi+2*dstifac) * (fi+dstifac) * (fi ) * (fi- dstifac) * (fi-3*dstifac) * (- 5)
+ ifac(6) = (fi+2*dstifac) * (fi+dstifac) * (fi ) * (fi- dstifac) * (fi-2*dstifac) * ( 1)
+
+ res = 0
+
+ do kk=1,6
+ do jj=1,6
+ do ii=1,6
+
+ if (ifac(ii).ne.0 .and. jfac(jj).ne.0 .and. kfac(kk).ne.0) then
+c (This expression cannot be evaluated as integer)
+ fac = one * ifac(ii) * jfac(jj) * kfac(kk)
+
+ CHKIDX (i0+ii-2, j0+jj-2, k0+kk-2, \
+ srciext,srcjext,srckext, "source")
+ res = res + fac * src(i0+ii-2, j0+jj-2, k0+kk-2)
+ end if
+
+ end do
+ end do
+ end do
+
+ CHKIDX (dstioff+i+1, dstjoff+j+1, dstkoff+k+1, \
+ dstiext,dstjext,dstkext, "destination")
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1) = dstdiv * res
+
+ end do
+ end do
+ end do
+
+ end
diff --git a/Carpet/CarpetLib/src/prolongate_3d_real8_rf2.F77 b/Carpet/CarpetLib/src/prolongate_3d_real8_rf2.F77
new file mode 100644
index 000000000..556f4d092
--- /dev/null
+++ b/Carpet/CarpetLib/src/prolongate_3d_real8_rf2.F77
@@ -0,0 +1,341 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/prolongate_3d_real8_rf2.F77,v 1.2 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+
+
+ subroutine prolongate_3d_real8_rf2 (
+ $ src, srciext, srcjext, srckext,
+ $ dst, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ DECLARE_CCTK_PARAMETERS
+
+ CCTK_REAL8 one, half, fourth, eighth
+ parameter (one = 1)
+ parameter (half = one/2)
+ parameter (fourth = one/4)
+ parameter (eighth = one/8)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src(srciext,srcjext,srckext)
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer regiext, regjext, regkext
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ integer i0, j0, k0
+ integer fi, fj, fk
+ integer is, js, ks
+ integer id, jd, kd
+ integer i, j, k
+
+ integer d
+
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).le.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (srcbbox(d,3).ne.dstbbox(d,3)*2) then
+ call CCTK_WARN (0, "Internal error: source strides are not twice the destination strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).lt.srcbbox(d,1)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.srcbbox(d,2)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / dstbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / dstbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / dstbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+ fi = mod(srcioff, 2)
+ fj = mod(srcjoff, 2)
+ fk = mod(srckoff, 2)
+
+ i0 = srcioff / 2
+ j0 = srcjoff / 2
+ k0 = srckoff / 2
+
+
+
+c Loop over fine region
+c Label scheme: 8 fk fj fi
+
+c begin k loop
+ 8 continue
+ k = 0
+ ks = k0+1
+ kd = dstkoff+1
+ if (fk.eq.0) goto 80
+ if (fk.eq.1) goto 81
+ stop
+
+c begin j loop
+ 80 continue
+ j = 0
+ js = j0+1
+ jd = dstjoff+1
+ if (fj.eq.0) goto 800
+ if (fj.eq.1) goto 801
+ stop
+
+c begin i loop
+ 800 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8000
+ if (fi.eq.1) goto 8001
+ stop
+
+c kernel
+ 8000 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 1,1,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) = src(is,js,ks)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8001
+ goto 900
+
+c kernel
+ 8001 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 2,1,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) = half * src(is,js,ks) + half * src(is+1,js,ks)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8000
+ goto 900
+
+c end i loop
+ 900 continue
+ j = j+1
+ jd = jd+1
+ if (j.lt.regjext) goto 801
+ goto 90
+
+c begin i loop
+ 801 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8010
+ if (fi.eq.1) goto 8011
+ stop
+
+c kernel
+ 8010 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 1,2,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) = half * src(is,js,ks) + half * src(is,js+1,ks)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8011
+ goto 901
+
+c kernel
+ 8011 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 2,2,1, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + fourth * src(is,js,ks) + fourth * src(is+1,js,ks)
+ $ + fourth * src(is,js+1,ks) + fourth * src(is+1,js+1,ks)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8010
+ goto 901
+
+c end i loop
+ 901 continue
+ j = j+1
+ jd = jd+1
+ js = js+1
+ if (j.lt.regjext) goto 800
+ goto 90
+
+c end j loop
+ 90 continue
+ k = k+1
+ kd = kd+1
+ if (k.lt.regkext) goto 81
+ goto 9
+
+c begin j loop
+ 81 continue
+ j = 0
+ js = j0+1
+ jd = dstjoff+1
+ if (fj.eq.0) goto 810
+ if (fj.eq.1) goto 811
+ stop
+
+c begin i loop
+ 810 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8100
+ if (fi.eq.1) goto 8101
+ stop
+
+c kernel
+ 8100 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 1,1,2, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) = half * src(is,js,ks) + half * src(is,js,ks+1)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8101
+ goto 910
+
+c kernel
+ 8101 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 2,1,2, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + fourth * src(is,js,ks) + fourth * src(is+1,js,ks)
+ $ + fourth * src(is,js,ks+1) + fourth * src(is+1,js,ks+1)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8100
+ goto 910
+
+c end i loop
+ 910 continue
+ j = j+1
+ jd = jd+1
+ if (j.lt.regjext) goto 811
+ goto 91
+
+c begin i loop
+ 811 continue
+ i = 0
+ is = i0+1
+ id = dstioff+1
+ if (fi.eq.0) goto 8110
+ if (fi.eq.1) goto 8111
+ stop
+
+c kernel
+ 8110 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 1,2,2, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + fourth * src(is,js,ks) + fourth * src(is,js+1,ks)
+ $ + fourth * src(is,js,ks+1) + fourth * src(is,js+1,ks+1)
+ i = i+1
+ id = id+1
+ if (i.lt.regiext) goto 8111
+ goto 911
+
+c kernel
+ 8111 continue
+ if (check_array_accesses.ne.0) then
+ call checkindex (is,js,ks, 2,2,2, srciext,srcjext,srckext, "source")
+ call checkindex (id,jd,kd, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(id,jd,kd) =
+ $ + eighth * src(is,js,ks) + eighth * src(is+1,js,ks)
+ $ + eighth * src(is,js+1,ks) + eighth * src(is+1,js+1,ks)
+ $ + eighth * src(is,js,ks+1) + eighth * src(is+1,js,ks+1)
+ $ + eighth * src(is,js+1,ks+1) + eighth * src(is+1,js+1,ks+1)
+ i = i+1
+ id = id+1
+ is = is+1
+ if (i.lt.regiext) goto 8110
+ goto 911
+
+c end i loop
+ 911 continue
+ j = j+1
+ jd = jd+1
+ js = js+1
+ if (j.lt.regjext) goto 810
+ goto 91
+
+c end j loop
+ 91 continue
+ k = k+1
+ kd = kd+1
+ ks = ks+1
+ if (k.lt.regkext) goto 80
+ goto 9
+
+c end k loop
+ 9 continue
+
+ end
diff --git a/Carpet/CarpetLib/src/restrict_3d_real8.F77 b/Carpet/CarpetLib/src/restrict_3d_real8.F77
new file mode 100644
index 000000000..81f4cfd0a
--- /dev/null
+++ b/Carpet/CarpetLib/src/restrict_3d_real8.F77
@@ -0,0 +1,128 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/restrict_3d_real8.F77,v 1.7 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+
+
+
+#define CHKIDX(i,j,k, imax,jmax,kmax, where) \
+ if ((i).lt.1 .or. (i).gt.(imax) \
+ .or. (j).lt.1 .or. (j).gt.(jmax) \
+ .or. (k).lt.1 .or. (k).gt.(kmax)) then &&\
+ write (msg, '(a, " array index out of bounds: shape is (",i4,",",i4,",",i4,"), index is (",i4,",",i4,",",i4,")")') \
+ (where), (imax), (jmax), (kmax), (i), (j), (k) &&\
+ call CCTK_WARN (0, msg(1:len_trim(msg))) &&\
+ end if
+
+
+
+ subroutine restrict_3d_real8 (
+ $ src, srciext, srcjext, srckext,
+ $ dst, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src(srciext,srcjext,srckext)
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer regiext, regjext, regkext
+
+ integer srcifac, srcjfac, srckfac
+
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ integer i, j, k
+ integer d
+
+ character msg*1000
+
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).ge.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (mod(dstbbox(d,3), srcbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: source strides are not integer multiples of the destination strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).lt.srcbbox(d,1)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.srcbbox(d,2)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ srcifac = dstbbox(1,3) / srcbbox(1,3)
+ srcjfac = dstbbox(2,3) / srcbbox(2,3)
+ srckfac = dstbbox(3,3) / srcbbox(3,3)
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / srcbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / srcbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / srcbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Loop over coarse region
+ do k = 0, regkext-1
+ do j = 0, regjext-1
+ do i = 0, regiext-1
+
+ CHKIDX (srcioff+srcifac*i+1, srcjoff+srcjfac*j+1, srckoff+srckfac*k+1, \
+ srciext,srcjext,srckext, "source")
+ CHKIDX (dstioff+i+1, dstjoff+j+1, dstkoff+k+1, \
+ dstiext,dstjext,dstkext, "destination")
+ dst (dstioff+i+1, dstjoff+j+1, dstkoff+k+1)
+ $ = src (srcioff+srcifac*i+1, srcjoff+srcjfac*j+1, srckoff+srckfac*k+1)
+
+ end do
+ end do
+ end do
+
+ end
diff --git a/Carpet/CarpetLib/src/restrict_3d_real8_rf2.F77 b/Carpet/CarpetLib/src/restrict_3d_real8_rf2.F77
new file mode 100644
index 000000000..b7f6a0454
--- /dev/null
+++ b/Carpet/CarpetLib/src/restrict_3d_real8_rf2.F77
@@ -0,0 +1,111 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/restrict_3d_real8_rf2.F77,v 1.2 2004/03/11 12:03:09 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+
+
+ subroutine restrict_3d_real8_rf2 (
+ $ src, srciext, srcjext, srckext,
+ $ dst, dstiext, dstjext, dstkext,
+ $ srcbbox, dstbbox, regbbox)
+
+ implicit none
+
+ DECLARE_CCTK_PARAMETERS
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src(srciext,srcjext,srckext)
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+c bbox(:,1) is lower boundary (inclusive)
+c bbox(:,2) is upper boundary (inclusive)
+c bbox(:,3) is stride
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+
+ integer regiext, regjext, regkext
+ integer srcioff, srcjoff, srckoff
+ integer dstioff, dstjoff, dstkoff
+
+ integer i, j, k
+ integer d
+
+
+
+ do d=1,3
+ if (srcbbox(d,3).eq.0 .or. dstbbox(d,3).eq.0
+ $ .or. regbbox(d,3).eq.0) then
+ call CCTK_WARN (0, "Internal error: stride is zero")
+ end if
+ if (srcbbox(d,3).ge.regbbox(d,3)
+ $ .or. dstbbox(d,3).ne.regbbox(d,3)) then
+ call CCTK_WARN (0, "Internal error: strides disagree")
+ end if
+ if (dstbbox(d,3).ne.srcbbox(d,3)*2) then
+ call CCTK_WARN (0, "Internal error: destination strides are not twice the source strides")
+ end if
+ if (mod(srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array origins are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).gt.regbbox(d,2)) then
+c This could be handled, but is likely to point to an error elsewhere
+ call CCTK_WARN (0, "Internal error: region extent is empty")
+ end if
+ if (mod(srcbbox(d,2) - srcbbox(d,1), srcbbox(d,3)).ne.0
+ $ .or. mod(dstbbox(d,2) - dstbbox(d,1), dstbbox(d,3)).ne.0
+ $ .or. mod(regbbox(d,2) - regbbox(d,1), regbbox(d,3)).ne.0) then
+ call CCTK_WARN (0, "Internal error: array extents are not integer multiples of the strides")
+ end if
+ if (regbbox(d,1).lt.srcbbox(d,1)
+ $ .or. regbbox(d,1).lt.dstbbox(d,1)
+ $ .or. regbbox(d,2).gt.srcbbox(d,2)
+ $ .or. regbbox(d,2).gt.dstbbox(d,2)) then
+ call CCTK_WARN (0, "Internal error: region extent is not contained in array extent")
+ end if
+ end do
+
+ if (srciext.ne.(srcbbox(1,2)-srcbbox(1,1))/srcbbox(1,3)+1
+ $ .or. srcjext.ne.(srcbbox(2,2)-srcbbox(2,1))/srcbbox(2,3)+1
+ $ .or. srckext.ne.(srcbbox(3,2)-srcbbox(3,1))/srcbbox(3,3)+1
+ $ .or. dstiext.ne.(dstbbox(1,2)-dstbbox(1,1))/dstbbox(1,3)+1
+ $ .or. dstjext.ne.(dstbbox(2,2)-dstbbox(2,1))/dstbbox(2,3)+1
+ $ .or. dstkext.ne.(dstbbox(3,2)-dstbbox(3,1))/dstbbox(3,3)+1) then
+ call CCTK_WARN (0, "Internal error: array sizes don't agree with bounding boxes")
+ end if
+
+
+
+ regiext = (regbbox(1,2) - regbbox(1,1)) / regbbox(1,3) + 1
+ regjext = (regbbox(2,2) - regbbox(2,1)) / regbbox(2,3) + 1
+ regkext = (regbbox(3,2) - regbbox(3,1)) / regbbox(3,3) + 1
+
+ srcioff = (regbbox(1,1) - srcbbox(1,1)) / srcbbox(1,3)
+ srcjoff = (regbbox(2,1) - srcbbox(2,1)) / srcbbox(2,3)
+ srckoff = (regbbox(3,1) - srcbbox(3,1)) / srcbbox(3,3)
+
+ dstioff = (regbbox(1,1) - dstbbox(1,1)) / dstbbox(1,3)
+ dstjoff = (regbbox(2,1) - dstbbox(2,1)) / dstbbox(2,3)
+ dstkoff = (regbbox(3,1) - dstbbox(3,1)) / dstbbox(3,3)
+
+
+
+c Loop over coarse region
+ do k = 0, regkext-1
+ do j = 0, regjext-1
+ do i = 0, regiext-1
+
+ if (check_array_accesses.ne.0) then
+ call checkindex (srcioff+2*i+1, srcjoff+2*j+1, srckoff+2*k+1, 1,1,1, srciext,srcjext,srckext, "source")
+ call checkindex (dstioff+i+1, dstjoff+j+1, dstkoff+k+1, 1,1,1, dstiext,dstjext,dstkext, "destination")
+ end if
+ dst(dstioff+i+1, dstjoff+j+1, dstkoff+k+1) =
+ $ src(srcioff+2*i+1, srcjoff+2*j+1, srckoff+2*k+1)
+
+ end do
+ end do
+ end do
+
+ end
diff --git a/Carpet/CarpetLib/src/th.cc b/Carpet/CarpetLib/src/th.cc
new file mode 100644
index 000000000..0ad9beca1
--- /dev/null
+++ b/Carpet/CarpetLib/src/th.cc
@@ -0,0 +1,81 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/th.cc,v 1.14 2004/03/23 19:30:14 schnetter Exp $
+
+#include <assert.h>
+#include <math.h>
+
+#include <iostream>
+
+#include "cctk.h"
+
+#include "defs.hh"
+#include "gh.hh"
+
+#include "th.hh"
+
+using namespace std;
+
+
+
+// Constructors
+template<int D>
+th<D>::th (gh<D>& h, const CCTK_REAL basedelta)
+ : h(h), delta(basedelta) {
+ h.add(this);
+}
+
+// Destructors
+template<int D>
+th<D>::~th () {
+ h.remove(this);
+}
+
+// Modifiers
+template<int D>
+void th<D>::recompose () {
+ times.resize(h.reflevels());
+ deltas.resize(h.reflevels());
+ for (int rl=0; rl<h.reflevels(); ++rl) {
+ const int old_mglevels = times.at(rl).size();
+ CCTK_REAL mgtime;
+ // Select default time
+ if (old_mglevels==0 && rl==0) {
+ mgtime = 0;
+ } else if (old_mglevels==0) {
+ mgtime = times.at(rl-1).at(0);
+ } else {
+ mgtime = times.at(rl).at(old_mglevels-1);
+ }
+ times.at(rl).resize(h.mglevels(rl,0), mgtime);
+ deltas.at(rl).resize(h.mglevels(rl,0));
+ for (int ml=0; ml<h.mglevels(rl,0); ++ml) {
+ if (rl==0 && ml==0) {
+ deltas.at(rl).at(ml) = delta;
+ } else if (ml==0) {
+ deltas.at(rl).at(ml) = deltas.at(rl-1).at(ml) / h.reffact;
+ } else {
+ deltas.at(rl).at(ml) = deltas.at(rl).at(ml-1) * h.mgfact;
+ }
+ }
+ }
+}
+
+
+
+// Output
+template<int D>
+void th<D>::output (ostream& os) const {
+ os << "th<" << D << ">:"
+ << "times={";
+ for (int rl=0; rl<h.reflevels(); ++rl) {
+ for (int ml=0; ml<h.mglevels(rl,0); ++ml) {
+ if (!(rl==0 && ml==0)) os << ",";
+ os << rl << ":" << ml << ":"
+ << times.at(rl).at(ml) << "(" << deltas.at(rl).at(ml) << ")";
+ }
+ }
+ os << "}";
+}
+
+
+
+template class th<3>;
diff --git a/Carpet/CarpetLib/src/th.hh b/Carpet/CarpetLib/src/th.hh
new file mode 100644
index 000000000..12c77d782
--- /dev/null
+++ b/Carpet/CarpetLib/src/th.hh
@@ -0,0 +1,104 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/th.hh,v 1.11 2004/03/23 19:30:14 schnetter Exp $
+
+#ifndef TH_HH
+#define TH_HH
+
+#include <assert.h>
+
+#include <iostream>
+#include <vector>
+
+#include "cctk.h"
+
+#include "defs.hh"
+#include "gh.hh"
+
+using namespace std;
+
+
+
+// Forward declaration
+template<int D> class th;
+
+// Output
+template<int D>
+ostream& operator<< (ostream& os, const th<D>& t);
+
+
+
+// The time hierarchy (information about the current time)
+template<int D>
+class th {
+
+public: // should be readonly
+
+ // Fields
+ gh<D>& h; // hierarchy
+
+private:
+
+ CCTK_REAL delta; // time step
+ vector<vector<CCTK_REAL> > times; // current times
+ vector<vector<CCTK_REAL> > deltas; // time steps
+
+public:
+
+ // Constructors
+ th (gh<D>& h, const CCTK_REAL basedelta);
+
+ // Destructors
+ ~th ();
+
+ // Modifiers
+ void recompose ();
+
+ // Time management
+ CCTK_REAL get_time (const int rl, const int ml) const {
+ assert (rl>=0 && rl<h.reflevels());
+ assert (ml>=0 && ml<h.mglevels(rl,0));
+ return times.at(rl).at(ml);
+ }
+
+ void set_time (const int rl, const int ml, const CCTK_REAL t) {
+ assert (rl>=0 && rl<h.reflevels());
+ assert (ml>=0 && ml<h.mglevels(rl,0));
+ times.at(rl).at(ml) = t;
+ }
+
+ void advance_time (const int rl, const int ml) {
+ set_time(rl,ml, get_time(rl,ml) + get_delta(rl,ml));
+ }
+
+ CCTK_REAL get_delta (const int rl, const int ml) const {
+ assert (rl>=0 && rl<h.reflevels());
+ assert (ml>=0 && ml<h.mglevels(rl,0));
+ return deltas.at(rl).at(ml);
+ }
+
+ void set_delta (const int rl, const int ml, const CCTK_REAL dt) {
+ assert (rl>=0 && rl<h.reflevels());
+ assert (ml>=0 && ml<h.mglevels(rl,0));
+ deltas.at(rl).at(ml) = dt;
+ }
+
+ CCTK_REAL time (const int tl, const int rl, const int ml) const {
+ assert (rl>=0 && rl<h.reflevels());
+ assert (ml>=0 && ml<h.mglevels(rl,0));
+ return get_time(rl, ml) + tl * get_delta(rl, ml);
+ }
+
+ // Output
+ void output (ostream& os) const;
+};
+
+
+
+template<int D>
+inline ostream& operator<< (ostream& os, const th<D>& t) {
+ t.output(os);
+ return os;
+}
+
+
+
+#endif // TH_HH
diff --git a/Carpet/CarpetLib/src/vect.cc b/Carpet/CarpetLib/src/vect.cc
new file mode 100644
index 000000000..9af8bca1a
--- /dev/null
+++ b/Carpet/CarpetLib/src/vect.cc
@@ -0,0 +1,59 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/vect.cc,v 1.14 2004/02/18 15:10:17 schnetter Exp $
+
+#include <assert.h>
+
+#include <iostream>
+
+#include "defs.hh"
+
+#include "vect.hh"
+
+using namespace std;
+
+
+
+// Input
+template<class T,int D>
+void vect<T,D>::input (istream& is) {
+ skipws (is);
+ consume (is, '[');
+ for (int d=0; d<D; ++d) {
+ is >> (*this)[d];
+ if (d<D-1) {
+ skipws (is);
+ consume (is, ',');
+ }
+ }
+ skipws (is);
+ consume (is, ']');
+}
+
+
+
+// Output
+template<class T,int D>
+void vect<T,D>::output (ostream& os) const {
+ os << "[";
+ for (int d=0; d<D; ++d) {
+ os << (*this)[d];
+ if (d<D-1) os << ",";
+ }
+ os << "]";
+}
+
+
+
+// Note: We need all dimensions all the time.
+template class vect<int,0>;
+template class vect<int,1>;
+template class vect<int,2>;
+template class vect<int,3>;
+
+template void vect<double,3>::input (istream& is);
+template void vect<vect<bool,2>,3>::input (istream& is);
+
+template void vect<bool,2>::output (ostream& os) const;
+template void vect<bool,3>::output (ostream& os) const;
+template void vect<double,3>::output (ostream& os) const;
+template void vect<vect<bool,2>,3>::output (ostream& os) const;
+template void vect<vect<int,2>,3>::output (ostream& os) const;
diff --git a/Carpet/CarpetLib/src/vect.hh b/Carpet/CarpetLib/src/vect.hh
new file mode 100644
index 000000000..9160c76aa
--- /dev/null
+++ b/Carpet/CarpetLib/src/vect.hh
@@ -0,0 +1,797 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetLib/src/vect.hh,v 1.29 2004/08/14 07:41:25 schnetter Exp $
+
+#ifndef VECT_HH
+#define VECT_HH
+
+#include <algorithm>
+#include <cassert>
+#include <cmath>
+#include <iostream>
+
+using namespace std;
+
+
+
+// Forward definition
+template<class T, int D> class vect;
+
+// Input/Output
+template<class T,int D>
+istream& operator>> (istream& is, vect<T,D>& a);
+template<class T,int D>
+ostream& operator<< (ostream& os, const vect<T,D>& a);
+
+
+
+/**
+ * A short vector with a size that is specified at compile time.
+ */
+template<class T, int D>
+class vect {
+
+ // Fields
+
+ /** Vector elements. */
+ T elt[D==0 ? 1 : D];
+
+public:
+
+ // Constructors
+
+ /** Explicit empty constructor. */
+ explicit vect () { }
+
+ /** Copy constructor. */
+ vect (const vect& a) {
+ for (int d=0; d<D; ++d) elt[d]=a.elt[d];
+ }
+
+ /** Constructor from a single element. This constructor might be
+ confusing, but it is very convenient. */
+ vect (const T x) {
+ for (int d=0; d<D; ++d) elt[d]=x;
+ }
+
+ /** Constructor for 2-element vectors from 2 elements. */
+ vect (const T x, const T y) {
+ assert (D==2);
+ // Note: this statement may give "index out of range" warnings.
+ // You can safely ignore these.
+ elt[0]=x; elt[1]=y;
+ }
+
+ /** Constructor for 3-element vectors from 3 elements. */
+ vect (const T x, const T y, const T z) {
+ assert (D==3);
+ // Note: this statement may give "index out of range" warnings.
+ // You can safely ignore these.
+ elt[0]=x; elt[1]=y; elt[2]=z;
+ }
+
+ /** Constructor for 4-element vectors from 4 elements. */
+ vect (const T x, const T y, const T z, const T t) {
+ assert (D==4);
+ // Note: this statement may give "index out of range" warnings.
+ // You can safely ignore these.
+ elt[0]=x; elt[1]=y; elt[2]=z; elt[3]=t;
+ }
+
+#if 0
+ // This creates confusion
+ /** Constructor from a pointer, i.e.\ a C array. */
+ explicit vect (const T* const x) {
+ for (int d=0; d<D; ++d) elt[d]=x[d];
+ }
+#endif
+
+ /** Constructor from a vector with a different type. */
+ template<class S>
+ /*explicit*/ vect (const vect<S,D>& a) {
+ for (int d=0; d<D; ++d) elt[d]=(T)a[d];
+ }
+
+ /** Create a new 0-element vector with a specific type. */
+ static vect make () {
+ assert (D==0);
+ return vect();
+ }
+
+ /** Create a new 1-element vector with a specific type. */
+ static vect make (const T x) {
+ assert (D==1);
+ return vect(x);
+ }
+
+ /** Create a new 2-element vector with a specific type. */
+ static vect make (const T x, const T y) {
+ assert (D==2);
+ return vect(x, y);
+ }
+
+ /** Create a new 3-element vector with a specific type. */
+ static vect make (const T x, const T y, const T z) {
+ assert (D==3);
+ return vect(x, y, z);
+ }
+
+ /** Create a new 4-element vector with a specific type. */
+ static vect make (const T x, const T y, const T z, const T t) {
+ assert (D==4);
+ return vect(x, y, z, t);
+ }
+
+ /** Treat a constant pointer as a reference to a constant vector. */
+ static const vect& ref (const T* const x) {
+ return *(const vect*)x;
+ }
+
+ /** Treat a pointer as a reference to a vector. */
+ static vect& ref (T* const x) {
+ return *(vect*)x;
+ }
+
+ /** Create a vector with one element set to 1 and all other elements
+ set to zero. */
+ static vect dir (const int d) {
+ vect r=(T)0;
+ r[d]=1;
+ return r;
+ }
+
+ /** Create a vector with e[i] = i. */
+ static vect seq () {
+ vect r;
+ for (int d=0; d<D; ++d) r[d]=d;
+ return r;
+ }
+
+ /** Create a vector with e[i] = n + i. */
+ static vect seq (const int n) {
+ vect r;
+ for (int d=0; d<D; ++d) r[d]=n+d;
+ return r;
+ }
+
+ /** Create a vector with e[i] = n + s * i. */
+ static vect seq (const int n, const int s) {
+ vect r;
+ for (int d=0; d<D; ++d) r[d]=n+s*d;
+ return r;
+ }
+
+ // Accessors
+
+ /** Return a non-writable element of a vector. */
+ // (Don't return a reference; *this might be a temporary)
+ // Do return a reference, so that a vector can be accessed as array
+ const T& operator[] (const int d) const {
+ assert(d>=0 && d<D);
+ return elt[d];
+ }
+
+ /** Return a writable element of a vector as reference. */
+ T& operator[] (const int d) {
+ assert(d>=0 && d<D);
+ return elt[d];
+ }
+
+#if 0
+ // This creates confusion
+ /** Return a pointer to a vector. */
+ operator const T* () const {
+ return this;
+ }
+#endif
+
+ /** Return a combination of the vector elements e[a[i]]. The
+ element combination is selected by another vector. */
+ template<class TT, int DD>
+ vect<T,DD> operator[] (const vect<TT,DD>& a) const {
+ vect<T,DD> r;
+ // (*this)[] performs index checking
+ for (int d=0; d<DD; ++d) r[d] = (*this)[a[d]];
+ return r;
+ }
+
+ // Modifying operators
+ vect& operator+=(const T x) {
+ for (int d=0; d<D; ++d) elt[d]+=x;
+ return *this;
+ }
+
+ vect& operator-=(const T x) {
+ for (int d=0; d<D; ++d) elt[d]-=x;
+ return *this;
+ }
+
+ vect& operator*=(const T x) {
+ for (int d=0; d<D; ++d) elt[d]*=x;
+ return *this;
+ }
+
+ vect& operator/=(const T x) {
+ for (int d=0; d<D; ++d) elt[d]/=x;
+ return *this;
+ }
+
+ vect& operator%=(const T x) {
+ for (int d=0; d<D; ++d) elt[d]%=x;
+ return *this;
+ }
+
+ vect& operator&=(const T x) {
+ for (int d=0; d<D; ++d) elt[d]&=x;
+ return *this;
+ }
+
+ vect& operator|=(const T x) {
+ for (int d=0; d<D; ++d) elt[d]|=x;
+ return *this;
+ }
+
+ vect& operator^=(const T x) {
+ for (int d=0; d<D; ++d) elt[d]^=x;
+ return *this;
+ }
+
+ vect& operator+=(const vect& a) {
+ for (int d=0; d<D; ++d) elt[d]+=a[d];
+ return *this;
+ }
+
+ vect& operator-=(const vect& a) {
+ for (int d=0; d<D; ++d) elt[d]-=a[d];
+ return *this;
+ }
+
+ vect& operator*=(const vect& a) {
+ for (int d=0; d<D; ++d) elt[d]*=a[d];
+ return *this;
+ }
+
+ vect& operator/=(const vect& a) {
+ for (int d=0; d<D; ++d) elt[d]/=a[d];
+ return *this;
+ }
+
+ vect& operator%=(const vect& a) {
+ for (int d=0; d<D; ++d) elt[d]%=a[d];
+ return *this;
+ }
+
+ vect& operator&=(const vect& a) {
+ for (int d=0; d<D; ++d) elt[d]&=a[d];
+ return *this;
+ }
+
+ vect& operator|=(const vect& a) {
+ for (int d=0; d<D; ++d) elt[d]|=a[d];
+ return *this;
+ }
+
+ vect& operator^=(const vect& a) {
+ for (int d=0; d<D; ++d) elt[d]^=a[d];
+ return *this;
+ }
+
+ // Non-modifying operators
+
+ /** Return a new vector where one element has been replaced. */
+ vect replace (const int d, const T x) const {
+ assert (d>=0 && d<D);
+ vect r;
+ for (int dd=0; dd<D; ++dd) r[dd]=dd==d?x:elt[dd];
+ return r;
+ }
+
+ vect operator+ () const {
+ vect r;
+ for (int d=0; d<D; ++d) r[d]=+elt[d];
+ return r;
+ }
+
+ vect operator- () const {
+ vect r;
+ for (int d=0; d<D; ++d) r[d]=-elt[d];
+ return r;
+ }
+
+ vect<bool,D> operator! () const {
+ vect<bool,D> r;
+ for (int d=0; d<D; ++d) r[d]=!elt[d];
+ return r;
+ }
+
+ vect operator~ () const {
+ vect r;
+ for (int d=0; d<D; ++d) r[d]=~elt[d];
+ return r;
+ }
+
+ vect operator+ (const T x) const {
+ vect r(*this);
+ r+=x;
+ return r;
+ }
+
+ vect operator- (const T x) const {
+ vect r(*this);
+ r-=x;
+ return r;
+ }
+
+ vect operator* (const T x) const {
+ vect r(*this);
+ r*=x;
+ return r;
+ }
+
+ vect operator/ (const T x) const {
+ vect r(*this);
+ r/=x;
+ return r;
+ }
+
+ vect operator% (const T x) const {
+ vect r(*this);
+ r%=x;
+ return r;
+ }
+
+ vect operator& (const T x) const {
+ vect r(*this);
+ r&=x;
+ return r;
+ }
+
+ vect operator| (const T x) const {
+ vect r(*this);
+ r|=x;
+ return r;
+ }
+
+ vect operator^ (const T x) const {
+ vect r(*this);
+ r^=x;
+ return r;
+ }
+
+ vect<bool,D> operator&& (const T x) const {
+ vect<bool,D> r;
+ for (int d=0; d<D; ++d) r[d]=elt[d]&&x;
+ return r;
+ }
+
+ vect<bool,D> operator|| (const T x) const {
+ vect<bool,D> r;
+ for (int d=0; d<D; ++d) r[d]=elt[d]||x;
+ return r;
+ }
+
+ vect operator+ (const vect& a) const {
+ vect r(*this);
+ r+=a;
+ return r;
+ }
+
+ vect operator- (const vect& a) const {
+ vect r(*this);
+ r-=a;
+ return r;
+ }
+
+ vect operator* (const vect& a) const {
+ vect r(*this);
+ r*=a;
+ return r;
+ }
+
+ vect operator/ (const vect& a) const {
+ vect r(*this);
+ r/=a;
+ return r;
+ }
+
+ vect operator% (const vect& a) const {
+ vect r(*this);
+ r%=a;
+ return r;
+ }
+
+ vect operator& (const vect& a) const {
+ vect r(*this);
+ r&=a;
+ return r;
+ }
+
+ vect operator| (const vect& a) const {
+ vect r(*this);
+ r|=a;
+ return r;
+ }
+
+ vect operator^ (const vect& a) const {
+ vect r(*this);
+ r^=a;
+ return r;
+ }
+
+ vect<bool,D> operator&& (const vect& a) const {
+ vect<bool,D> r;
+ for (int d=0; d<D; ++d) r[d]=elt[d]&&a[d];
+ return r;
+ }
+
+ vect<bool,D> operator|| (const vect& a) const {
+ vect<bool,D> r;
+ for (int d=0; d<D; ++d) r[d]=elt[d]||a[d];
+ return r;
+ }
+
+ vect<bool,D> operator== (const vect& a) const {
+ vect<bool,D> r;
+ for (int d=0; d<D; ++d) r[d]=elt[d]==a[d];
+ return r;
+ }
+
+ vect<bool,D> operator!= (const vect& a) const {
+ vect<bool,D> r;
+ for (int d=0; d<D; ++d) r[d]=elt[d]!=a[d];
+ return r;
+ }
+
+ vect<bool,D> operator< (const vect& a) const {
+ vect<bool,D> r;
+ for (int d=0; d<D; ++d) r[d]=elt[d]<a[d];
+ return r;
+ }
+
+ vect<bool,D> operator<= (const vect& a) const {
+ vect<bool,D> r;
+ for (int d=0; d<D; ++d) r[d]=elt[d]<=a[d];
+ return r;
+ }
+
+ vect<bool,D> operator> (const vect& a) const {
+ vect<bool,D> r;
+ for (int d=0; d<D; ++d) r[d]=elt[d]>a[d];
+ return r;
+ }
+
+ vect<bool,D> operator>= (const vect& a) const {
+ vect<bool,D> r;
+ for (int d=0; d<D; ++d) r[d]=elt[d]>=a[d];
+ return r;
+ }
+
+ /** This corresponds to the ?: operator. Return a vector with the
+ elements set to either a[i] or b[i], depending on whether
+ (*this)[i] is true or not. */
+ template<class TT>
+ vect<TT,D> ifthen (const vect<TT,D>& a, const vect<TT,D>& b) const {
+ vect<TT,D> r;
+ for (int d=0; d<D; ++d) r[d]=elt[d]?a[d]:b[d];
+ return r;
+ }
+
+ // Iterators
+#if 0
+ // This is non-standard
+ class iter {
+ vect &vec;
+ int d;
+ public:
+ iter (vect &a): vec(a), d(0) { }
+ iter& operator++ () { assert(d<D); ++d; return *this; }
+ bool operator bool () { return d==D; }
+ T& operator* { return vec[d]; }
+ };
+#endif
+
+ // Input/Output helpers
+ void input (istream& is);
+ void output (ostream& os) const;
+};
+
+
+
+// Operators
+
+/** This corresponds to the ?: operator. Return a vector with the
+ elements set to either b[i] or c[i], depending on whether a[i] is
+ true or not. */
+template<class T,int D>
+inline vect<T,D> either (const vect<bool,D>& a,
+ const vect<T,D>& b, const vect<T,D>& c) {
+ vect<T,D> r;
+ for (int d=0; d<D; ++d) r[d]=a[d]?b[d]:c[d];
+ return r;
+}
+
+/** Transpose a vector of a vector */
+template<class T, int D, int DD>
+inline vect<vect<T,D>,DD> xpose (vect<vect<T,DD>,D> const & a) {
+ vect<vect<T,D>,DD> r;
+ for (int dd=0; dd<DD; ++dd) for (int d=0; d<D; ++d) r[dd][d] = a[d][dd];
+ return r;
+}
+
+/** Return the element-wise absolute value. */
+template<class T,int D>
+inline vect<T,D> abs (const vect<T,D>& a) {
+ vect<T,D> r;
+ for (int d=0; d<D; ++d) r[d]=abs(a[d]);
+ return r;
+}
+
+/** Return the element-wise ceiling. */
+template<class T,int D>
+inline vect<T,D> ceil (const vect<T,D>& a) {
+ vect<T,D> r;
+ for (int d=0; d<D; ++d) r[d]=ceil(a[d]);
+ return r;
+}
+
+/** Return the element-wise floor. */
+template<class T,int D>
+inline vect<T,D> floor (const vect<T,D>& a) {
+ vect<T,D> r;
+ for (int d=0; d<D; ++d) r[d]=floor(a[d]);
+ return r;
+}
+
+/** Return the element-wise maximum of two vectors. */
+template<class T,int D>
+inline vect<T,D> max (const vect<T,D>& a, const vect<T,D>& b) {
+ vect<T,D> r;
+ for (int d=0; d<D; ++d) r[d]=max(a[d],b[d]);
+ return r;
+}
+
+/** Return the element-wise minimum of two vectors. */
+template<class T,int D>
+inline vect<T,D> min (const vect<T,D>& a, const vect<T,D>& b) {
+ vect<T,D> r;
+ for (int d=0; d<D; ++d) r[d]=min(a[d],b[d]);
+ return r;
+}
+
+/** Return the element-wise power of two vectors. */
+template<class T,class U,int D>
+inline vect<T,D> pow (const vect<T,D>& a, const vect<U,D>& b) {
+ vect<T,D> r;
+ for (int d=0; d<D; ++d) r[d]=pow(a[d],b[d]);
+ return r;
+}
+
+
+
+// Reduction operators
+
+/** Return true iff any of the elements are true (boolean sum). */
+template<int D>
+inline bool any (const vect<bool,D>& a) {
+ bool r(false);
+ for (int d=0; d<D; ++d) r|=a[d];
+ return r;
+}
+
+/** Return true iff all of the elements are true (boolean product). */
+template<int D>
+inline bool all (const vect<bool,D>& a) {
+ bool r(true);
+ for (int d=0; d<D; ++d) r&=a[d];
+ return r;
+}
+
+/** Count the number of elements in the vector. */
+template<class T,int D>
+inline int count (const vect<T,D>& a) {
+ return D;
+}
+
+/** Return the dot product of two vectors. */
+template<class T,int D>
+inline T dot (const vect<T,D>& a, const vect<T,D>& b) {
+ T r(0);
+ for (int d=0; d<D; ++d) r+=a[d]*b[d];
+ return r;
+}
+
+/** Return the Euklidean length. */
+template<class T,int D>
+inline T hypot (const vect<T,D>& a) {
+ return sqrt(dot(a,a));
+}
+
+/** Return the maximum element. */
+template<class T,int D>
+inline T maxval (const vect<T,D>& a) {
+ assert (D>0);
+ T r(a[0]);
+ for (int d=1; d<D; ++d) r=max(r,a[d]);
+ return r;
+}
+
+/** Return the minimum element. */
+template<class T,int D>
+inline T minval (const vect<T,D>& a) {
+ assert (D>0);
+ T r(a[0]);
+ for (int d=1; d<D; ++d) r=min(r,a[d]);
+ return r;
+}
+
+/** Return the index of the first maximum element. */
+template<class T,int D>
+inline int maxloc (const vect<T,D>& a) {
+ assert (D>0);
+ int r(0);
+ for (int d=1; d<D; ++d) if (a[d]>a[r]) r=d;
+ return r;
+}
+
+/** Return the index of the first minimum element. */
+template<class T,int D>
+inline int minloc (const vect<T,D>& a) {
+ assert (D>0);
+ int r(0);
+ for (int d=1; d<D; ++d) if (a[d]<a[r]) r=d;
+ return r;
+}
+
+/** Return the product of the elements. */
+template<class T,int D>
+inline T prod (const vect<T,D>& a) {
+ T r(1);
+ for (int d=0; d<D; ++d) r*=a[d];
+ return r;
+}
+
+/** Return the size (number of elements) of the vector. */
+template<class T,int D>
+inline int size (const vect<T,D>& a) {
+ return D;
+}
+
+/** Return the sum of the elements. */
+template<class T,int D>
+inline T sum (const vect<T,D>& a) {
+ T r(0);
+ for (int d=0; d<D; ++d) r+=a[d];
+ return r;
+}
+
+// Higher order functions
+
+/** Return a new vector where the function func() has been applied to
+ all elements. */
+template<class T, class U, int D>
+inline vect<U,D> map (U (* const func)(T x), const vect<T,D>& a) {
+ vect<U,D> r;
+ for (int d=0; d<D; ++d) r[d] = func(a[d]);
+ return r;
+}
+
+/** Return a new vector where the function func() has been used
+ element-wise to combine a and b. */
+template<class S, class T, class U, int D>
+inline vect<U,D> zip (U (* const func)(S x, T y),
+ const vect<S,D>& a, const vect<T,D>& b)
+{
+ vect<U,D> r;
+ for (int d=0; d<D; ++d) r[d] = func(a[d], b[d]);
+ return r;
+}
+
+/** Return a scalar where the function func() has been used to reduce
+ the vector a, starting with the scalar value val. */
+template<class T, class U, int D>
+inline U fold (U (* const func)(U val, T x), U val, const vect<T,D>& a)
+{
+ for (int d=0; d<D; ++d) val = func(val, a[d]);
+ return val;
+}
+
+/** Return a scalar where the function func() has been used to reduce
+ the vector a, starting with element 0. */
+template<class T, class U, int D>
+inline U fold1 (U (* const func)(U val, T x), const vect<T,D>& a)
+{
+ assert (D>=1);
+ U val = a[0];
+ for (int d=1; d<D; ++d) val = func(val, a[d]);
+ return val;
+}
+
+/** Return a vector where the function func() has been used to scan
+ the vector a, starting with the scalar value val. */
+template<class T, class U, int D>
+inline vect<U,D> scan0 (U (* const func)(U val, T x), U val,
+ const vect<T,D>& a)
+{
+ vect<U,D> r;
+ for (int d=0; d<D; ++d) {
+ r[d] = val;
+ val = func(val, a[d]);
+ }
+ return r;
+}
+
+/** Return a vector where the function func() has been used to scan
+ the vector a, starting with element 0. */
+template<class T, class U, int D>
+inline vect<U,D> scan1 (U (* const func)(U val, T x), U val,
+ const vect<T,D>& a)
+{
+ vect<U,D> r;
+ for (int d=0; d<D; ++d) {
+ val = func(val, a[d]);
+ r[d] = val;
+ }
+ return r;
+}
+
+
+
+// Input
+
+/** Read a formatted vector from a stream. */
+template<class T,int D>
+inline istream& operator>> (istream& is, vect<T,D>& a) {
+ a.input(is);
+ return is;
+}
+
+
+
+// Output
+
+/** Write a vector formatted to a stream. */
+template<class T,int D>
+inline ostream& operator<< (ostream& os, const vect<T,D>& a) {
+ a.output(os);
+ return os;
+}
+
+
+
+#if 0
+// Specialise explicit constructors
+
+/** Constructor for 2-element vectors from 2 elements. */
+template<class T>
+inline vect<T,2>::vect<T,2> (const T x, const T y) {
+ elt[0]=x; elt[1]=y;
+}
+
+/** Constructor for 3-element vectors from 3 elements. */
+vect (const T x, const T y, const T z) {
+ assert (D==3);
+ elt[0]=x; elt[1]=y; elt[2]=z;
+}
+
+/** Constructor for 4-element vectors from 4 elements. */
+vect (const T x, const T y, const T z, const T t) {
+ assert (D==4);
+ elt[0]=x; elt[1]=y; elt[2]=z; elt[3]=t;
+}
+#endif
+
+
+
+// Specialise for double
+
+template<>
+inline vect<double,3>& vect<double,3>::operator%=(const vect<double,3>& a) {
+ for (int d=0; d<3; ++d) {
+ elt[d]=fmod(elt[d],a[d]);
+ if (elt[d]>a[d]*double(1.0-1.0e-10)) elt[d]=double(0);
+ if (elt[d]<a[d]*double( 1.0e-10)) elt[d]=double(0);
+ }
+ return *this;
+}
+
+
+
+#endif // VECT_HH
diff --git a/Carpet/CarpetReduce/COPYING b/Carpet/CarpetReduce/COPYING
new file mode 100644
index 000000000..1942c4334
--- /dev/null
+++ b/Carpet/CarpetReduce/COPYING
@@ -0,0 +1,341 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 59 Temple Place - Suite 330
+ Boston, MA 02111-1307, USA.
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
+
+ The licenses for most software are designed to take away your
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+You may charge a fee for the physical act of transferring a copy, and
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+ 12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
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+YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
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+POSSIBILITY OF SUCH DAMAGES.
+
+ END OF TERMS AND CONDITIONS
+
+ How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+ To do so, attach the following notices to the program. It is safest
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+ Copyright (C) 19yy <name of author>
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
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+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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+
+ You should have received a copy of the GNU General Public License
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+ This is free software, and you are welcome to redistribute it
+ under certain conditions; type `show c' for details.
+
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+parts of the General Public License. Of course, the commands you use may
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+
+You should also get your employer (if you work as a programmer) or your
+school, if any, to sign a "copyright disclaimer" for the program, if
+necessary. Here is a sample; alter the names:
+
+ Yoyodyne, Inc., hereby disclaims all copyright interest in the program
+ `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+ <signature of Ty Coon>, 1 April 1989
+ Ty Coon, President of Vice
+
+This General Public License does not permit incorporating your program into
+proprietary programs. If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library. If this is what you want to do, use the GNU Library General
+Public License instead of this License.
diff --git a/Carpet/CarpetReduce/README b/Carpet/CarpetReduce/README
new file mode 100644
index 000000000..8692a2930
--- /dev/null
+++ b/Carpet/CarpetReduce/README
@@ -0,0 +1,29 @@
+Cactus Code Thorn CarpetReduce
+Authors : Erik Schnetter <schnetter@uni-tuebingen.de>
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetReduce/README,v 1.3 2004/06/14 07:01:21 schnetter Exp $
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+This thorn provides parallel reduction operators for Carpet.
+
+
+
+This thorn now uses a weight function. This makes it possible to
+perform physically meaningful spatial reduction operations. The
+weight is 1 for all "normal" grid points.
+
+The weight is set to 0 on symmetry and possible the outer boundary,
+and it might be set to 1/2 on the edge of the boundary. Setting this
+depends on the coordinate thorn, and currently works only when the
+coordinates are defined via CoordBase.
+
+The weight is also reduced or set to 0 on coarser grids that are
+overlaid by finer grid.
+
+The weight should also be reduced or set to 0 near and in excised
+regions. This should happen in conjunction with an excision boundary
+thorn.
+
+This weigth function should probably be extracted into its own thorn
+MaskBase, so that many thorns can easily operate on it.
diff --git a/Carpet/CarpetReduce/configuration.ccl b/Carpet/CarpetReduce/configuration.ccl
new file mode 100644
index 000000000..b24240084
--- /dev/null
+++ b/Carpet/CarpetReduce/configuration.ccl
@@ -0,0 +1,6 @@
+# Configuration definitions for thorn CarpetReduce
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetReduce/configuration.ccl,v 1.3 2004/06/08 21:09:25 schnetter Exp $
+
+REQUIRES Carpet CarpetLib
+
+REQUIRES THORNS: Carpet CarpetLib
diff --git a/Carpet/CarpetReduce/doc/documentation.tex b/Carpet/CarpetReduce/doc/documentation.tex
new file mode 100644
index 000000000..38e62c3cc
--- /dev/null
+++ b/Carpet/CarpetReduce/doc/documentation.tex
@@ -0,0 +1,143 @@
+% *======================================================================*
+% Cactus Thorn template for ThornGuide documentation
+% Author: Ian Kelley
+% Date: Sun Jun 02, 2002
+% $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetReduce/doc/documentation.tex,v 1.1 2003/04/29 14:01:52 schnetter Exp $
+%
+% Thorn documentation in the latex file doc/documentation.tex
+% will be included in ThornGuides built with the Cactus make system.
+% The scripts employed by the make system automatically include
+% pages about variables, parameters and scheduling parsed from the
+% relevent thorn CCL files.
+%
+% This template contains guidelines which help to assure that your
+% documentation will be correctly added to ThornGuides. More
+% information is available in the Cactus UsersGuide.
+%
+% Guidelines:
+% - Do not change anything before the line
+% % START CACTUS THORNGUIDE",
+% except for filling in the title, author, date etc. fields.
+% - Each of these fields should only be on ONE line.
+% - Author names should be sparated with a \\ or a comma
+% - You can define your own macros, but they must appear after
+% the START CACTUS THORNGUIDE line, and must not redefine standard
+% latex commands.
+% - To avoid name clashes with other thorns, 'labels', 'citations',
+% 'references', and 'image' names should conform to the following
+% convention:
+% ARRANGEMENT_THORN_LABEL
+% For example, an image wave.eps in the arrangement CactusWave and
+% thorn WaveToyC should be renamed to CactusWave_WaveToyC_wave.eps
+% - Graphics should only be included using the graphix package.
+% More specifically, with the "includegraphics" command. Do
+% not specify any graphic file extensions in your .tex file. This
+% will allow us (later) to create a PDF version of the ThornGuide
+% via pdflatex. |
+% - References should be included with the latex "bibitem" command.
+% - Use \begin{abstract}...\end{abstract} instead of \abstract{...}
+% - Do not use \appendix, instead include any appendices you need as
+% standard sections.
+% - For the benefit of our Perl scripts, and for future extensions,
+% please use simple latex.
+%
+% *======================================================================*
+%
+% Example of including a graphic image:
+% \begin{figure}[ht]
+% \begin{center}
+% \includegraphics[width=6cm]{MyArrangement_MyThorn_MyFigure}
+% \end{center}
+% \caption{Illustration of this and that}
+% \label{MyArrangement_MyThorn_MyLabel}
+% \end{figure}
+%
+% Example of using a label:
+% \label{MyArrangement_MyThorn_MyLabel}
+%
+% Example of a citation:
+% \cite{MyArrangement_MyThorn_Author99}
+%
+% Example of including a reference
+% \bibitem{MyArrangement_MyThorn_Author99}
+% {J. Author, {\em The Title of the Book, Journal, or periodical}, 1 (1999),
+% 1--16. {\tt http://www.nowhere.com/}}
+%
+% *======================================================================*
+
+% If you are using CVS use this line to give version information
+% $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetReduce/doc/documentation.tex,v 1.1 2003/04/29 14:01:52 schnetter Exp $
+
+\documentclass{article}
+
+% Use the Cactus ThornGuide style file
+% (Automatically used from Cactus distribution, if you have a
+% thorn without the Cactus Flesh download this from the Cactus
+% homepage at www.cactuscode.org)
+\usepackage{../../../../doc/ThornGuide/cactus}
+
+\begin{document}
+
+% The author of the documentation
+\author{Erik Schnetter \textless schnetter@uni-tuebingen.de\textgreater}
+
+% The title of the document (not necessarily the name of the Thorn)
+\title{CarpetReduce}
+
+% the date your document was last changed, if your document is in CVS,
+% please use:
+\date{$ $Date: 2003/04/29 14:01:52 $ $}
+
+\maketitle
+
+% Do not delete next line
+% START CACTUS THORNGUIDE
+
+% Add all definitions used in this documentation here
+% \def\mydef etc
+
+% Add an abstract for this thorn's documentation
+\begin{abstract}
+
+\end{abstract}
+
+% The following sections are suggestive only.
+% Remove them or add your own.
+
+\section{Introduction}
+
+\section{Physical System}
+
+\section{Numerical Implementation}
+
+\section{Using This Thorn}
+
+\subsection{Obtaining This Thorn}
+
+\subsection{Basic Usage}
+
+\subsection{Special Behaviour}
+
+\subsection{Interaction With Other Thorns}
+
+\subsection{Examples}
+
+\subsection{Support and Feedback}
+
+\section{History}
+
+\subsection{Thorn Source Code}
+
+\subsection{Thorn Documentation}
+
+\subsection{Acknowledgements}
+
+
+\begin{thebibliography}{9}
+
+\end{thebibliography}
+
+% Do not delete next line
+% END CACTUS THORNGUIDE
+
+\end{document}
diff --git a/Carpet/CarpetReduce/interface.ccl b/Carpet/CarpetReduce/interface.ccl
new file mode 100644
index 000000000..6c14b6bae
--- /dev/null
+++ b/Carpet/CarpetReduce/interface.ccl
@@ -0,0 +1,27 @@
+# Interface definition for thorn CarpetReduce
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetReduce/interface.ccl,v 1.9 2004/06/21 12:37:07 hawke Exp $
+
+IMPLEMENTS: reduce
+
+uses include header: dist.hh
+uses include header: vect.hh
+
+uses include header: carpet.hh
+
+
+
+CCTK_INT FUNCTION \
+ SymmetryTableHandleForGrid (CCTK_POINTER_TO_CONST IN cctkGH)
+REQUIRES FUNCTION SymmetryTableHandleForGrid
+
+CCTK_INT FUNCTION GetBoundarySpecification \
+ (CCTK_INT IN size, \
+ CCTK_INT OUT ARRAY nboundaryzones, \
+ CCTK_INT OUT ARRAY is_internal, \
+ CCTK_INT OUT ARRAY is_staggered, \
+ CCTK_INT OUT ARRAY shiftout)
+REQUIRES FUNCTION GetBoundarySpecification
+
+
+
+REAL weight TYPE=gf TAGS='prolongation="none"' "Weight function"
diff --git a/Carpet/CarpetReduce/param.ccl b/Carpet/CarpetReduce/param.ccl
new file mode 100644
index 000000000..0842ac0db
--- /dev/null
+++ b/Carpet/CarpetReduce/param.ccl
@@ -0,0 +1,6 @@
+# Parameter definitions for thorn CarpetReduce
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetReduce/param.ccl,v 1.2 2004/06/14 07:01:21 schnetter Exp $
+
+BOOLEAN verbose "Produce screen output while running"
+{
+} "no"
diff --git a/Carpet/CarpetReduce/schedule.ccl b/Carpet/CarpetReduce/schedule.ccl
new file mode 100644
index 000000000..db1530ae7
--- /dev/null
+++ b/Carpet/CarpetReduce/schedule.ccl
@@ -0,0 +1,44 @@
+# Schedule definitions for thorn CarpetReduce
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetReduce/schedule.ccl,v 1.4 2004/08/02 11:43:35 schnetter Exp $
+
+schedule CarpetReduceStartup at STARTUP
+{
+ LANG: C
+} "Startup routine"
+
+
+
+# This might move to MaskBase
+STORAGE: weight
+
+SCHEDULE GROUP MaskBase_SetupMask AT basegrid
+{
+} "Set up the weight function"
+
+SCHEDULE GROUP MaskBase_SetupMask AT postregrid
+{
+} "Set up the weight function"
+
+SCHEDULE MaskBase_InitMask IN MaskBase_SetupMask
+{
+ LANG: C
+ OPTIONS: global loop-local
+} "Initialise the weight function"
+
+SCHEDULE GROUP SetupMask IN MaskBase_SetupMask AFTER MaskBase_InitMask
+{
+} "Set up the weight function (schedule other routines in here)"
+
+# This might move to CoordBase
+SCHEDULE CoordBase_SetupMask IN SetupMask
+{
+ LANG: C
+ OPTIONS: global loop-local
+} "Set up the outer boundaries of the weight function"
+
+# This might move to CarpetMask
+SCHEDULE CarpetMaskSetup IN SetupMask
+{
+ LANG: C
+ OPTIONS: global loop-singlemap
+} "Set up the weight function for the restriction regions"
diff --git a/Carpet/CarpetReduce/src/make.code.defn b/Carpet/CarpetReduce/src/make.code.defn
new file mode 100644
index 000000000..afc3646db
--- /dev/null
+++ b/Carpet/CarpetReduce/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn CarpetReduce
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetReduce/src/make.code.defn,v 1.2 2004/06/14 07:01:21 schnetter Exp $
+
+# Source files in this directory
+SRCS = mask_carpet.cc mask_coords.c mask_init.c reduce.cc
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/Carpet/CarpetReduce/src/mask_carpet.cc b/Carpet/CarpetReduce/src/mask_carpet.cc
new file mode 100644
index 000000000..d0861320f
--- /dev/null
+++ b/Carpet/CarpetReduce/src/mask_carpet.cc
@@ -0,0 +1,292 @@
+#include <cassert>
+#include <sstream>
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+
+#include "carpet.hh"
+
+#include "mask_carpet.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetReduce/src/mask_carpet.cc,v 1.5 2004/08/05 11:15:49 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetMask_Mask_cc);
+}
+
+
+
+namespace CarpetMask {
+
+ using namespace std;
+ using namespace Carpet;
+
+
+
+ /**
+ * Reduce the weight on the current and the next coarser level to
+ * make things consistent. Set the weight to 0 inside the
+ * restriction region of the next coarser level, maybe to 1/2 near
+ * the boundary of that region, and also to 1/2 near the
+ * prolongation boundary of this level.
+ */
+
+ void
+ CarpetMaskSetup (CCTK_ARGUMENTS)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ assert (reffact == 2);
+
+ if (! is_singlemap_mode()) {
+ CCTK_WARN (0, "This routine may only be called in singlemap mode");
+ }
+
+ if (reflevel > 0) {
+
+ ivect const izero = ivect(0);
+ ivect const ione = ivect(1);
+
+ gh<dim> const & hh = *vhh.at(Carpet::map);
+ dh<dim> const & dd = *vdd.at(Carpet::map);
+
+ ibbox const & base = hh.bases.at(reflevel).at(mglevel);
+
+
+
+ // Calculate the union of all refined regions
+ ibset refined;
+ for (int c=0; c<hh.components(reflevel); ++c) {
+ refined |= hh.extents.at(reflevel).at(c).at(mglevel);
+ }
+ refined.normalize();
+
+ // Calculate the union of all coarse regions
+ ibset parent;
+ for (int c=0; c<hh.components(reflevel-1); ++c) {
+ parent |= hh.extents.at(reflevel-1).at(c).at(mglevel).expanded_for(base);
+ }
+ parent.normalize();
+
+ // Subtract the refined region
+ ibset notrefined = parent - refined;
+ notrefined.normalize();
+
+ // Enlarge this set
+ ibset enlarged[dim];
+ for (int d=0; d<dim; ++d) {
+ for (ibset::const_iterator bi = notrefined.begin();
+ bi != notrefined.end();
+ ++bi)
+ {
+ enlarged[d] |= (*bi).expand(ivect::dir(d), ivect::dir(d));
+ }
+ enlarged[d].normalize();
+ }
+
+ // Intersect with the original union
+ ibset boundaries[dim];
+ for (int d=0; d<dim; ++d) {
+ boundaries[d] = refined & enlarged[d];
+ boundaries[d].normalize();
+ }
+
+ // Subtract the boundaries from the refined region
+ for (int d=0; d<dim; ++d) {
+ refined -= boundaries[d];
+ }
+ refined.normalize();
+
+
+
+ // Set prolongation boundaries of this level
+ {
+ BEGIN_LOCAL_COMPONENT_LOOP (cctkGH, CCTK_GF) {
+
+ DECLARE_CCTK_ARGUMENTS;
+
+ ibbox const & ext
+ = dd.boxes.at(reflevel).at(component).at(mglevel).exterior;
+
+ for (int d=0; d<dim; ++d) {
+ for (ibset::const_iterator bi = boundaries[d].begin();
+ bi != boundaries[d].end();
+ ++bi)
+ {
+
+ ibbox const & box = (*bi) & ext;
+ if (! box.empty()) {
+
+ assert (all ((box.lower() - ext.lower() ) >= 0));
+ assert (all ((box.upper() - ext.lower() + ext.stride()) >= 0));
+ assert (all ((box.lower() - ext.lower() ) % ext.stride() == 0));
+ assert (all ((box.upper() - ext.lower() + ext.stride()) % ext.stride() == 0));
+ ivect const imin = (box.lower() - ext.lower() ) / ext.stride();
+ ivect const imax = (box.upper() - ext.lower() + ext.stride()) / ext.stride();
+ assert (all (izero <= imin));
+ assert (box.empty() || all (imin <= imax));
+ assert (all (imax <= ivect::ref(cctk_lsh)));
+
+ if (verbose) {
+ ostringstream buf;
+ buf << "Setting prolongation boundary on level " << reflevel << " direction " << d << " to weight 1/2: " << imin << ":" << imax-ione;
+ CCTK_INFO (buf.str().c_str());
+ }
+
+ // Set weight on the boundary to 1/2
+ assert (dim == 3);
+ for (int k=imin[2]; k<imax[2]; ++k) {
+ for (int j=imin[1]; j<imax[1]; ++j) {
+ for (int i=imin[0]; i<imax[0]; ++i) {
+ int const ind = CCTK_GFINDEX3D (cctkGH, i, j, k);
+ weight[ind] *= 0.5;
+ }
+ }
+ }
+
+ } // if box not empty
+
+ } // for box
+ } // for d
+
+ } END_LOCAL_COMPONENT_LOOP;
+ }
+
+
+
+ // Set restriction region on next coarser level
+ {
+ int const oldreflevel = reflevel;
+ int const oldmap = Carpet::map;
+ leave_singlemap_mode (cctkGH);
+ leave_level_mode (cctkGH);
+ enter_level_mode (cctkGH, oldreflevel-1);
+ enter_singlemap_mode (cctkGH, oldmap);
+
+ BEGIN_LOCAL_COMPONENT_LOOP (cctkGH, CCTK_GF) {
+
+ DECLARE_CCTK_ARGUMENTS;
+
+ ibbox const & ext
+ = dd.boxes.at(reflevel).at(component).at(mglevel).exterior;
+
+ for (ibset::const_iterator bi = refined.begin();
+ bi != refined.end();
+ ++bi)
+ {
+
+ ibbox const & box = (*bi).contracted_for(ext) & ext;
+ if (! box.empty()) {
+
+ assert (all ((box.lower() - ext.lower() ) >= 0));
+ assert (all ((box.upper() - ext.lower() + ext.stride()) >= 0));
+ assert (all ((box.lower() - ext.lower() ) % ext.stride() == 0));
+ assert (all ((box.upper() - ext.lower() + ext.stride()) % ext.stride() == 0));
+ ivect const imin = (box.lower() - ext.lower() ) / ext.stride();
+ ivect const imax = (box.upper() - ext.lower() + ext.stride()) / ext.stride();
+ assert (all (izero <= imin));
+ assert (box.empty() || all (imin <= imax));
+ assert (all (imax <= ivect::ref(cctk_lsh)));
+
+ if (verbose) {
+ ostringstream buf;
+ buf << "Setting restricted region on level " << reflevel << " to weight 0: " << imin << ":" << imax-ione;
+ CCTK_INFO (buf.str().c_str());
+ }
+
+ // Set weight in the restricted region to 0
+ assert (dim == 3);
+ for (int k=imin[2]; k<imax[2]; ++k) {
+ for (int j=imin[1]; j<imax[1]; ++j) {
+ for (int i=imin[0]; i<imax[0]; ++i) {
+ int const ind = CCTK_GFINDEX3D (cctkGH, i, j, k);
+ weight[ind] = 0;
+ }
+ }
+ }
+
+ } // if box not empty
+
+ } // for box
+
+ assert (dim == 3);
+ vector<int> mask (cctk_lsh[0] * cctk_lsh[1] * cctk_lsh[2]);
+
+ assert (dim == 3);
+ for (int k=0; k<cctk_lsh[2]; ++k) {
+ for (int j=0; j<cctk_lsh[1]; ++j) {
+ for (int i=0; i<cctk_lsh[0]; ++i) {
+ int const ind = CCTK_GFINDEX3D (cctkGH, i, j, k);
+ mask[ind] = 0;
+ }
+ }
+ }
+
+ for (int d=0; d<dim; ++d) {
+ for (ibset::const_iterator bi = boundaries[d].begin();
+ bi != boundaries[d].end();
+ ++bi)
+ {
+
+ ibbox const & box = (*bi).contracted_for(ext) & ext;
+ if (! box.empty()) {
+
+ assert (all ((box.lower() - ext.lower() ) >= 0));
+ assert (all ((box.upper() - ext.lower() + ext.stride()) >= 0));
+ assert (all ((box.lower() - ext.lower() ) % ext.stride() == 0));
+ assert (all ((box.upper() - ext.lower() + ext.stride()) % ext.stride() == 0));
+ ivect const imin = (box.lower() - ext.lower() ) / ext.stride();
+ ivect const imax = (box.upper() - ext.lower() + ext.stride()) / ext.stride();
+ assert (all (izero <= imin));
+ assert (box.empty() || all (imin <= imax));
+ assert (all (imax <= ivect::ref(cctk_lsh)));
+
+ if (verbose) {
+ ostringstream buf;
+ buf << "Setting restriction boundary on level " << reflevel << " direction " << d << " to weight 1/2: " << imin << ":" << imax-ione;
+ CCTK_INFO (buf.str().c_str());
+ }
+
+ // Set weight on the boundary to 1/2
+ assert (dim == 3);
+ for (int k=imin[2]; k<imax[2]; ++k) {
+ for (int j=imin[1]; j<imax[1]; ++j) {
+ for (int i=imin[0]; i<imax[0]; ++i) {
+ int const ind = CCTK_GFINDEX3D (cctkGH, i, j, k);
+ if (mask[ind] == 0) {
+ mask[ind] = 1;
+ }
+ mask[ind] *= 2;
+ }
+ }
+ }
+
+ } // if box not empty
+
+ } // for box
+ } // for d
+
+ assert (dim == 3);
+ for (int k=0; k<cctk_lsh[2]; ++k) {
+ for (int j=0; j<cctk_lsh[1]; ++j) {
+ for (int i=0; i<cctk_lsh[0]; ++i) {
+ int const ind = CCTK_GFINDEX3D (cctkGH, i, j, k);
+ if (mask[ind] > 0) {
+ weight[ind] *= 1.0 - 1.0 / mask[ind];
+ }
+ }
+ }
+ }
+
+ } END_LOCAL_COMPONENT_LOOP;
+
+ leave_singlemap_mode (cctkGH);
+ leave_level_mode (cctkGH);
+ enter_level_mode (cctkGH, oldreflevel);
+ enter_singlemap_mode (cctkGH, oldmap);
+ }
+
+ } // if reflevel>0
+ }
+
+} // namespace CarpetMask
diff --git a/Carpet/CarpetReduce/src/mask_carpet.hh b/Carpet/CarpetReduce/src/mask_carpet.hh
new file mode 100644
index 000000000..818e101cf
--- /dev/null
+++ b/Carpet/CarpetReduce/src/mask_carpet.hh
@@ -0,0 +1,13 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetReduce/src/mask_carpet.hh,v 1.1 2004/06/14 07:01:21 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+
+namespace CarpetMask {
+
+ extern "C" {
+ void
+ CarpetMaskSetup (CCTK_ARGUMENTS);
+ }
+
+} // namespace CarpetMask
diff --git a/Carpet/CarpetReduce/src/mask_coords.c b/Carpet/CarpetReduce/src/mask_coords.c
new file mode 100644
index 000000000..d5d8df7c4
--- /dev/null
+++ b/Carpet/CarpetReduce/src/mask_coords.c
@@ -0,0 +1,128 @@
+/* $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetReduce/src/mask_coords.c,v 1.3 2004/08/04 13:03:09 schnetter Exp $ */
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+
+
+
+void
+CoordBase_SetupMask (CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ CCTK_INT nboundaryzones[6];
+ CCTK_INT is_internal[6];
+ CCTK_INT is_staggered[6];
+ CCTK_INT shiftout[6];
+
+ int imin[3], imax[3]; /* boundary extent */
+
+ int i, j, k;
+ int d, f;
+ int dd;
+
+ int ierr;
+
+
+
+ ierr = GetBoundarySpecification
+ (6, nboundaryzones, is_internal, is_staggered, shiftout);
+ if (ierr != 0) {
+ CCTK_WARN (0, "Could not get boundary specification");
+ }
+
+ /* Loop over all dimensions and faces */
+ for (d=0; d<3; ++d) {
+ for (f=0; f<2; ++f) {
+ /* If this processor has the outer boundary */
+ if (cctk_bbox[2*d+f]) {
+
+ int npoints;
+
+ if (is_internal[2*d+f]) {
+ /* The boundary extends inwards */
+ npoints = - nboundaryzones[2*d+f] + shiftout[2*d+f];
+ } else {
+ /* The boundary extends outwards */
+ npoints = nboundaryzones[2*d+f] + shiftout[2*d+f] - 1;
+ }
+
+ /* If there are boundary that should be ignored */
+ if (npoints >= 0) {
+
+ if (npoints < 0 || npoints > cctk_lsh[d]) {
+ CCTK_WARN (0, "Illegal number of boundary points");
+ }
+
+ /* Calculate the extent of the boundary */
+ for (dd=0; dd<3; ++dd) {
+ imin[dd] = 0;
+ imax[dd] = cctk_lsh[dd];
+ }
+
+ if (f==0) {
+ /* lower face */
+ imax[d] = imin[d] + npoints;
+ } else {
+ /* upper face */
+ imin[d] = imax[d] - npoints;
+ }
+
+ /* Loop over the boundary */
+ if (verbose) {
+ CCTK_VInfo (CCTK_THORNSTRING,
+ "Setting boundary points in direction %d face %d to weight 0", d, f);
+ }
+ for (k=imin[2]; k<imax[2]; ++k) {
+ for (j=imin[1]; j<imax[1]; ++j) {
+ for (i=imin[0]; i<imax[0]; ++i) {
+
+ int const ind = CCTK_GFINDEX3D (cctkGH, i, j, k);
+ weight[ind] = 0.0;
+
+ }
+ }
+ }
+
+ /* When the boundary is not staggered, then give the points
+ on the boundary the weight 1/2 */
+ if (! is_staggered[2*d+f]) {
+
+ /* Adapt the extent of the boundary */
+ if (f==0) {
+ /* lower face */
+ imin[d] = imax[d];
+ imax[d] = imin[d] + 1;
+ } else {
+ /* upper face */
+ imax[d] = imin[d];
+ imin[d] = imax[d] - 1;
+ }
+
+ /* Loop over the points next to boundary */
+ if (verbose) {
+ CCTK_VInfo (CCTK_THORNSTRING,
+ "Setting staggered boundary points in direction %d face %d to weight 1/2", d, f);
+ }
+ for (k=imin[2]; k<imax[2]; ++k) {
+ for (j=imin[1]; j<imax[1]; ++j) {
+ for (i=imin[0]; i<imax[0]; ++i) {
+
+ int const ind = CCTK_GFINDEX3D (cctkGH, i, j, k);
+ weight[ind] *= 0.5;
+
+ }
+ }
+ }
+
+ } /* if the boundary is not staggered */
+
+ } /* if there are boundary points */
+
+ } /* if is outer boundary */
+ } /* loop over faces */
+ } /* loop over directions */
+
+}
diff --git a/Carpet/CarpetReduce/src/mask_init.c b/Carpet/CarpetReduce/src/mask_init.c
new file mode 100644
index 000000000..70768b973
--- /dev/null
+++ b/Carpet/CarpetReduce/src/mask_init.c
@@ -0,0 +1,161 @@
+/* $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetReduce/src/mask_init.c,v 1.2 2004/08/02 11:43:35 schnetter Exp $ */
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+
+#include "util_Table.h"
+
+
+
+void
+MaskBase_InitMask (CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+#if 0
+ CCTK_INT symtable;
+ CCTK_INT symmetry_handle[6];
+ CCTK_INT symmetry_zone_width[6];
+#endif
+
+ int imin[3], imax[3]; /* boundary extent */
+
+ int i, j, k;
+ int d, f;
+ int dd;
+
+#if 0
+ int istat;
+#endif
+
+
+
+ /* Initialise the weight to 1 everywhere */
+ if (verbose) {
+ CCTK_INFO ("Initialising to weight 1");
+ }
+
+ for (k=0; k<cctk_lsh[2]; ++k) {
+ for (j=0; j<cctk_lsh[1]; ++j) {
+ for (i=0; i<cctk_lsh[0]; ++i) {
+
+ int const ind = CCTK_GFINDEX3D (cctkGH, i, j, k);
+ weight[ind] = 1.0;
+
+ }
+ }
+ }
+
+
+
+ /* Set the weight to 0 on inter-processor boundaries */
+ if (verbose) {
+ CCTK_INFO ("Setting inter-processor boundaries to weight 0");
+ }
+
+ /* Loop over all dimensions and faces */
+ for (d=0; d<3; ++d) {
+ for (f=0; f<2; ++f) {
+ /* If this is an inter-processor boundary */
+ if (! cctk_bbox[2*d+f]) {
+
+ /* Calculate the extent of the boundary hyperslab */
+ for (dd=0; dd<3; ++dd) {
+ imin[dd] = 0;
+ imax[dd] = cctk_lsh[dd];
+ }
+ if (f==0) {
+ /* lower face */
+ imax[d] = imin[d] + cctk_nghostzones[d];
+ } else {
+ /* upper face */
+ imin[d] = imax[d] - cctk_nghostzones[d];
+ }
+
+ /* Loop over the boundary slab */
+ for (k=imin[2]; k<imax[2]; ++k) {
+ for (j=imin[1]; j<imax[1]; ++j) {
+ for (i=imin[0]; i<imax[0]; ++i) {
+
+ int const ind = CCTK_GFINDEX3D (cctkGH, i, j, k);
+ weight[ind] = 0.0;
+
+ }
+ }
+ }
+
+ }
+ }
+ }
+
+
+
+#if 0
+
+ /* Take the symmetry boundaries into account */
+ if (verbose) {
+ CCTK_INFO ("Setting symmetry boundaries to weight 0");
+ }
+
+ /* Get symmetry information */
+ symtable = SymmetryTableHandleForGrid (cctkGH);
+ if (symtable < 0) {
+ CCTK_WARN (0, "Could not get symmetry table");
+ }
+ istat = Util_TableGetIntArray
+ (symtable, 6, symmetry_handle, "symmetry_handle");
+ if (istat != 6) {
+ CCTK_WARN (0, "Could not get \"symmetry_handle\" entry from symmetry table");
+ }
+ istat = Util_TableGetIntArray
+ (symtable, 6, symmetry_zone_width, "symmetry_zone_width");
+ if (istat != 6) {
+ CCTK_WARN (0, "Could not get \"symmetry_zone_width\" entry from symmetry table");
+ }
+
+ /* Loop over all dimensions and faces */
+ for (d=0; d<3; ++d) {
+ for (f=0; f<2; ++f) {
+ /* If this is a symmetry face */
+ if (symmetry_handle[2*d+f] >= 0) {
+ /* If this processor has the outer boundary */
+ if (cctk_bbox[2*d+f]) {
+
+ if (symmetry_zone_width[2*d+f] < 0
+ || symmetry_zone_width[2*d+f] > cctk_lsh[d]) {
+ CCTK_WARN (0, "The symmetry table entry \"symmetry_zone_width\" contains illegal values");
+ }
+
+ /* Calculate the extent of the boundary hyperslab */
+ for (dd=0; dd<3; ++dd) {
+ imin[dd] = 0;
+ imax[dd] = cctk_lsh[dd];
+ }
+ if (f==0) {
+ /* lower face */
+ imax[d] = imin[d] + symmetry_zone_width[2*d+f];
+ } else {
+ /* upper face */
+ imin[d] = imax[d] - symmetry_zone_width[2*d+f];
+ }
+
+ /* Loop over the boundary slab */
+ for (k=imin[2]; k<imax[2]; ++k) {
+ for (j=imin[1]; j<imax[1]; ++j) {
+ for (i=imin[0]; i<imax[0]; ++i) {
+
+ int const ind = CCTK_GFINDEX3D (cctkGH, i, j, k);
+ weight[ind] = 0.0;
+
+ }
+ }
+ }
+
+ }
+ }
+ }
+ }
+#endif
+}
diff --git a/Carpet/CarpetReduce/src/reduce.cc b/Carpet/CarpetReduce/src/reduce.cc
new file mode 100644
index 000000000..622d63291
--- /dev/null
+++ b/Carpet/CarpetReduce/src/reduce.cc
@@ -0,0 +1,1174 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetReduce/src/reduce.cc,v 1.43 2004/08/02 11:43:35 schnetter Exp $
+
+#include <assert.h>
+#include <float.h>
+#include <limits.h>
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+
+#include <complex>
+#include <limits>
+#include <vector>
+
+#include <mpi.h>
+
+#include "cctk.h"
+
+#include "dist.hh"
+#include "vect.hh"
+
+#include "carpet.hh"
+
+#include "reduce.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetReduce/src/reduce.cc,v 1.43 2004/08/02 11:43:35 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetReduce_reduce_cc);
+}
+
+
+
+namespace CarpetReduce {
+
+ using namespace std;
+ using namespace Carpet;
+
+
+
+ // Helper functions and types
+
+ // The minimum of two values
+ template<typename T> inline T
+ mymin (const T x, const T y)
+ {
+ return min(x, y);
+ }
+
+ // The maximum of two values
+ template<typename T> inline T
+ mymax (const T x, const T y)
+ {
+ return max(x, y);
+ }
+
+ // Square root
+ template<typename T> inline T
+ mysqrt (const T x)
+ {
+ return sqrt(x);
+ }
+
+
+
+ // Properties of numeric types
+ template<typename T>
+ struct my_numeric_limits {
+
+ // The smallest possible value
+ static T min ()
+ {
+ return mymin (numeric_limits<T>::min(), -numeric_limits<T>::max());
+ }
+
+ // The largest possible value
+ static T max ()
+ {
+ return mymax (numeric_limits<T>::max(), -numeric_limits<T>::min());
+ }
+
+ };
+
+
+
+ // Provide for each Cactus type a "good" type, translating between
+ // CCTK_COMPLEX* and complex<CCTK_REAL*>
+ template<typename T>
+ struct typeconv {
+ typedef T goodtype;
+ typedef T badtype;
+ };
+
+
+
+ // Overload the above helper functions and types for complex values
+
+#ifdef CCTK_REAL4
+
+ template<> inline complex<CCTK_REAL4>
+ mymin (const complex<CCTK_REAL4> x, const complex<CCTK_REAL4> y)
+ {
+ return complex<CCTK_REAL4> (mymin(x.real(), y.real()),
+ mymin(x.imag(), y.imag()));
+ }
+
+ template<> inline complex<CCTK_REAL4>
+ mymax (const complex<CCTK_REAL4> x, const complex<CCTK_REAL4> y)
+ {
+ return complex<CCTK_REAL4> (mymax(x.real(), y.real()),
+ mymax(x.imag(), y.imag()));
+ }
+
+ template<>
+ struct my_numeric_limits<complex<CCTK_REAL4> > {
+ static complex<CCTK_REAL4> min ()
+ {
+ return complex<CCTK_REAL4> (my_numeric_limits<CCTK_REAL4>::min(),
+ my_numeric_limits<CCTK_REAL4>::min());
+ }
+ static complex<CCTK_REAL4> max ()
+ {
+ return complex<CCTK_REAL4> (my_numeric_limits<CCTK_REAL4>::max(),
+ my_numeric_limits<CCTK_REAL4>::max());
+ }
+ };
+
+ template<>
+ struct typeconv<CCTK_COMPLEX8> {
+ typedef complex<CCTK_REAL4> goodtype;
+ typedef CCTK_COMPLEX8 badtype;
+ };
+
+#endif
+
+#ifdef CCTK_REAL8
+
+ template<> inline complex<CCTK_REAL8>
+ mymin (const complex<CCTK_REAL8> x, const complex<CCTK_REAL8> y)
+ {
+ return complex<CCTK_REAL8> (mymin(x.real(), y.real()),
+ mymin(x.imag(), y.imag()));
+ }
+
+ template<> inline complex<CCTK_REAL8>
+ mymax (const complex<CCTK_REAL8> x, const complex<CCTK_REAL8> y)
+ {
+ return complex<CCTK_REAL8> (mymax(x.real(), y.real()),
+ mymax(x.imag(), y.imag()));
+ }
+
+ template<>
+ struct my_numeric_limits<complex<CCTK_REAL8> > {
+ static complex<CCTK_REAL8> min ()
+ {
+ return complex<CCTK_REAL8> (my_numeric_limits<CCTK_REAL8>::min(),
+ my_numeric_limits<CCTK_REAL8>::min());
+ }
+ static complex<CCTK_REAL8> max ()
+ {
+ return complex<CCTK_REAL8> (my_numeric_limits<CCTK_REAL8>::max(),
+ my_numeric_limits<CCTK_REAL8>::max());
+ }
+ };
+
+ template<>
+ struct typeconv<CCTK_COMPLEX16> {
+ typedef complex<CCTK_REAL8> goodtype;
+ typedef CCTK_COMPLEX16 badtype;
+ };
+
+#endif
+
+#ifdef CCTK_REAL16
+
+ template<> inline complex<CCTK_REAL16>
+ mymin (const complex<CCTK_REAL16> x, const complex<CCTK_REAL16> y)
+ {
+ return complex<CCTK_REAL16> (mymin(x.real(), y.real()),
+ mymin(x.imag(), y.imag()));
+ }
+
+ template<> inline complex<CCTK_REAL16>
+ mymax (const complex<CCTK_REAL16> x, const complex<CCTK_REAL16> y)
+ {
+ return complex<CCTK_REAL16> (mymax(x.real(), y.real()),
+ mymax(x.imag(), y.imag()));
+ }
+
+ template<>
+ struct my_numeric_limits<complex<CCTK_REAL16> > {
+ static complex<CCTK_REAL16> min ()
+ {
+ return complex<CCTK_REAL16> (my_numeric_limits<CCTK_REAL16>::min(),
+ my_numeric_limits<CCTK_REAL16>::min());
+ }
+ static complex<CCTK_REAL16> max ()
+ {
+ return complex<CCTK_REAL16> (my_numeric_limits<CCTK_REAL16>::max(),
+ my_numeric_limits<CCTK_REAL16>::max());
+ }
+ };
+
+ template<>
+ struct typeconv<CCTK_COMPLEX32> {
+ typedef complex<CCTK_REAL16> goodtype;
+ typedef CCTK_COMPLEX32 badtype;
+ };
+
+#endif
+
+
+
+ // Provide a square root function for integer values
+
+#ifdef CCTK_INT1
+ template<> inline CCTK_INT1
+ mysqrt (const CCTK_INT1 x)
+ {
+ return sqrt((CCTK_REAL)x);
+ }
+#endif
+
+#ifdef CCTK_INT2
+ template<> inline CCTK_INT2
+ mysqrt (const CCTK_INT2 x)
+ {
+ return sqrt((CCTK_REAL)x);
+ }
+#endif
+
+#ifdef CCTK_INT4
+ template<> inline CCTK_INT4
+ mysqrt (const CCTK_INT4 x)
+ {
+ return sqrt((CCTK_REAL)x);
+ }
+#endif
+
+#ifdef CCTK_INT8
+ template<> inline CCTK_INT8
+ mysqrt (const CCTK_INT8 x)
+ {
+ return sqrt((CCTK_REAL)x);
+ }
+#endif
+
+
+
+ // Poor man's RTTI
+ enum ared { do_count, do_minimum, do_maximum, do_product, do_sum,
+ do_sum_abs, do_sum_squared, do_average, do_norm1, do_norm2,
+ do_norm_inf };
+
+
+
+ struct reduction {
+ virtual ared thered () const = 0;
+ virtual bool uses_cnt () const = 0;
+ virtual MPI_Op mpi_op () const = 0;
+ };
+
+
+
+ // count: count the number of grid points
+ struct count : reduction {
+ count () { }
+ ared thered () const { return do_count; }
+ bool uses_cnt () const { return false; }
+ template<class T>
+ struct op {
+ static inline void initialise (T& accum) { accum = T(0); }
+ static inline void reduce (T& accum, const T& val, const CCTK_REAL weight) { accum += T(weight); }
+ static inline void finalise (T& accum, const T& cnt) { }
+ };
+ MPI_Op mpi_op () const { return MPI_SUM; }
+ };
+
+ struct minimum : reduction {
+ minimum () { }
+ ared thered () const { return do_minimum; }
+ bool uses_cnt () const { return false; }
+ template<class T>
+ struct op {
+ static inline void initialise (T& accum) { accum = my_numeric_limits<T>::max(); }
+ static inline void reduce (T& accum, const T& val, const CCTK_REAL weight) { if (weight>0) accum = mymin(accum, val); }
+ static inline void finalise (T& accum, const T& cnt) { }
+ };
+ MPI_Op mpi_op () const { return MPI_MIN; }
+ };
+
+ struct maximum : reduction {
+ maximum () { }
+ ared thered () const { return do_maximum; }
+ bool uses_cnt () const { return false; }
+ template<class T>
+ struct op {
+ static inline void initialise (T& accum) { accum = my_numeric_limits<T>::min(); }
+ static inline void reduce (T& accum, const T& val, const CCTK_REAL weight) { if (weight>0) accum = mymax(accum, val); }
+ static inline void finalise (T& accum, const T& cnt) { }
+ };
+ MPI_Op mpi_op () const { return MPI_MAX; }
+ };
+
+ struct product : reduction {
+ product () { }
+ ared thered () const { return do_product; }
+ bool uses_cnt () const { return false; }
+ template<class T>
+ struct op {
+ static inline void initialise (T& accum) { accum = T(1); }
+ static inline void reduce (T& accum, const T& val, const CCTK_REAL weight) { if (weight>0) accum *= weight==1 ? val : pow(val,weight); }
+ static inline void finalise (T& accum, const T& cnt) { }
+ };
+ MPI_Op mpi_op () const { return MPI_PROD; }
+ };
+
+ struct sum : reduction {
+ sum () { }
+ ared thered () const { return do_sum; }
+ bool uses_cnt () const { return false; }
+ template<class T>
+ struct op {
+ static inline void initialise (T& accum) { accum = T(0); }
+ static inline void reduce (T& accum, const T& val, const CCTK_REAL weight) { if (weight>0) accum += weight*val; }
+ static inline void finalise (T& accum, const T& cnt) { }
+ };
+ MPI_Op mpi_op () const { return MPI_SUM; }
+ };
+
+ struct sum_abs : reduction {
+ sum_abs () { }
+ ared thered () const { return do_sum_abs; }
+ bool uses_cnt () const { return false; }
+ template<class T>
+ struct op {
+ static inline void initialise (T& accum) { accum = T(0); }
+ static inline void reduce (T& accum, const T& val, const CCTK_REAL weight) { if (weight>0) accum += weight*abs(val); }
+ static inline void finalise (T& accum, const T& cnt) { }
+ };
+ MPI_Op mpi_op () const { return MPI_SUM; }
+ };
+
+ struct sum_squared : reduction {
+ sum_squared () { }
+ ared thered () const { return do_sum_squared; }
+ bool uses_cnt () const { return false; }
+ template<class T>
+ struct op {
+ static inline void initialise (T& accum) { accum = T(0); }
+ static inline void reduce (T& accum, const T& val, const CCTK_REAL weight) { if (weight>0) accum += weight*val*val; }
+ static inline void finalise (T& accum, const T& cnt) { }
+ };
+ MPI_Op mpi_op () const { return MPI_SUM; }
+ };
+
+ struct average : reduction {
+ average () { }
+ ared thered () const { return do_average; }
+ bool uses_cnt () const { return true; }
+ template<class T>
+ struct op {
+ static inline void initialise (T& accum) { accum = T(0); }
+ static inline void reduce (T& accum, const T& val, const CCTK_REAL weight) { if (weight>0) accum += weight*val; }
+ static inline void finalise (T& accum, const T& cnt) { accum /= cnt; }
+ };
+ MPI_Op mpi_op () const { return MPI_SUM; }
+ };
+
+ struct norm1 : reduction {
+ norm1 () { }
+ ared thered () const { return do_norm1; }
+ bool uses_cnt () const { return true; }
+ template<class T>
+ struct op {
+ static inline void initialise (T& accum) { accum = T(0); }
+ static inline void reduce (T& accum, const T& val, const CCTK_REAL weight) { if (weight>0) accum += weight*abs(val); }
+ static inline void finalise (T& accum, const T& cnt) { accum /= cnt; }
+ };
+ MPI_Op mpi_op () const { return MPI_SUM; }
+ };
+
+ struct norm2 : reduction {
+ norm2 () { }
+ ared thered () const { return do_norm2; }
+ bool uses_cnt () const { return true; }
+ template<class T>
+ struct op {
+ static inline void initialise (T& accum) { accum = T(0); }
+ static inline void reduce (T& accum, const T& val, const CCTK_REAL weight) { if (weight>0) accum += weight*abs(val)*abs(val); }
+ static inline void finalise (T& accum, const T& cnt) { accum = mysqrt(accum / cnt); }
+ };
+ MPI_Op mpi_op () const { return MPI_SUM; }
+ };
+
+ struct norm_inf : reduction {
+ norm_inf () { }
+ ared thered () const { return do_norm_inf; }
+ bool uses_cnt () const { return false; }
+ template<class T>
+ struct op {
+ static inline void initialise (T& accum) { accum = T(0); }
+ static inline void reduce (T& accum, const T& val, const CCTK_REAL weight) { if (weight>0) accum = mymax(accum, T(abs(val))); }
+ static inline void finalise (T& accum, const T& cnt) { }
+ };
+ MPI_Op mpi_op () const { return MPI_MAX; }
+ };
+
+
+
+ template<class T,class OP>
+ void initialise (void* const outval, void* const cnt)
+ {
+ OP::initialise (*(T*)outval);
+ *(T*)cnt = T(0);
+ }
+
+ template<class T,class OP>
+ void reduce (const int* const lsh, const int* const bbox,
+ const int* const nghostzones,
+ vector<const void*> const& inarrays,
+ vector<CCTK_REAL> const& tfacs,
+ void* const outval, void* const cnt,
+ const CCTK_REAL* const weight, const CCTK_REAL levfac)
+ {
+ for (size_t tl=0; tl<inarrays.size(); ++tl) {
+ assert (inarrays.at(tl));
+ }
+ assert (tfacs.size() == inarrays.size());
+ T myoutval = *(T*)outval;
+ T mycnt = *(T*)cnt;
+ vect<int,dim> imin, imax;
+ for (int d=0; d<dim; ++d) {
+ imin[d] = bbox[2*d ] ? 0 : nghostzones[d];
+ imax[d] = bbox[2*d+1] ? lsh[d] : lsh[d] - nghostzones[d];
+ }
+ assert (dim==3);
+ for (int k=imin[2]; k<imax[2]; ++k) {
+ for (int j=imin[1]; j<imax[1]; ++j) {
+ for (int i=imin[0]; i<imax[0]; ++i) {
+ const int index = i + lsh[0] * (j + lsh[1] * k);
+ CCTK_REAL const w = (weight ? weight[index] : 1.0) * levfac;
+ T myinval = T(0);
+ for (size_t tl=0; tl<inarrays.size(); ++tl) {
+ myinval += (static_cast<const T*>(inarrays.at(tl))[index]
+ * tfacs.at(tl));
+ }
+ OP::reduce (myoutval, myinval, w);
+ mycnt += w;
+ }
+ }
+ }
+ *(T*)outval = myoutval;
+ *(T*)cnt = mycnt;
+ }
+
+ template<class T,class OP>
+ void finalise (void* const outval, const void* const cnt)
+ {
+ OP::finalise (*(T*)outval, *(const T*)cnt);
+ }
+
+
+
+ void Initialise (const cGH* const cgh, const int proc,
+ const int num_outvals,
+ void* const myoutvals, const int outtype,
+ void* const mycounts,
+ const reduction* const red)
+ {
+ assert (cgh);
+
+ assert (proc == -1 || (proc>=0 && proc<CCTK_nProcs(cgh)));
+
+ assert (num_outvals>=0);
+
+ const int vartypesize = CCTK_VarTypeSize(outtype);
+ assert (vartypesize>=0);
+
+ assert (myoutvals);
+ assert (mycounts);
+
+ assert (red);
+
+ for (int n=0; n<num_outvals; ++n) {
+
+ switch (outtype) {
+#define INITIALISE(OP,S) \
+ case do_##OP: { \
+ typedef typeconv<S>::goodtype T; \
+ initialise<T,OP::op<T> > (&((char*)myoutvals)[vartypesize*n], \
+ &((char*)mycounts )[vartypesize*n]); \
+ break; \
+ }
+#define TYPECASE(N,T) \
+ case N: { \
+ switch (red->thered()) { \
+ INITIALISE(count,T); \
+ INITIALISE(minimum,T); \
+ INITIALISE(maximum,T); \
+ INITIALISE(product,T); \
+ INITIALISE(sum,T); \
+ INITIALISE(sum_abs,T); \
+ INITIALISE(sum_squared,T); \
+ INITIALISE(average,T); \
+ INITIALISE(norm1,T); \
+ INITIALISE(norm2,T); \
+ INITIALISE(norm_inf,T); \
+ default: \
+ assert (0); \
+ } \
+ break; \
+ }
+#include "Carpet/Carpet/src/typecase"
+#undef TYPECASE
+#undef INITIALISE
+ default:
+ assert (0);
+ }
+
+ } // for n
+ }
+
+
+
+ void Copy (const cGH* const cgh, const int proc,
+ const int lsize,
+ const int num_inarrays,
+ const void* const* const inarrays, const int intype,
+ const int num_outvals,
+ void* const myoutvals, const int outtype,
+ void* const mycounts)
+ {
+ assert (cgh);
+
+ assert (proc == -1 || (proc>=0 && proc<CCTK_nProcs(cgh)));
+
+ assert (lsize >= 0);
+ assert (num_outvals>=0);
+
+ assert (num_inarrays>=0);
+ assert (num_inarrays * lsize == num_outvals);
+ assert (inarrays);
+ for (int n=0; n<num_inarrays; ++n) {
+ assert (inarrays[n]);
+ }
+
+ assert (myoutvals);
+ assert (mycounts);
+
+ assert (outtype == intype);
+
+ for (int m=0; m<num_inarrays; ++m) {
+ for (int n=0; n<lsize; ++n) {
+
+ switch (outtype) {
+#define COPY(S) \
+ { \
+ typedef typeconv<S>::goodtype T; \
+ ((T*)myoutvals)[n+lsize*m] = ((const T*)inarrays[m])[n]; \
+ ((T*)mycounts )[n+lsize*m] = T(1); \
+ }
+#define TYPECASE(N,T) \
+ case N: { \
+ COPY(T); \
+ break; \
+ }
+#include "Carpet/Carpet/src/typecase"
+#undef TYPECASE
+#undef COPY
+ default:
+ assert (0);
+ }
+
+ } // for
+ } // for
+ }
+
+
+
+ void Reduce (const cGH* const cgh, const int proc,
+ const int* const mylsh, const int* const mybbox,
+ const int* const mynghostzones,
+ const int num_inarrays,
+ vector<const void* const*> const& inarrays,
+ vector<CCTK_REAL> const& tfacs, const int intype,
+ const int num_outvals,
+ void* const myoutvals, const int outtype,
+ void* const mycounts,
+ const reduction* const red,
+ CCTK_REAL const * const weight, CCTK_REAL const levfac)
+ {
+ assert (cgh);
+
+ assert (proc == -1 || (proc>=0 && proc<CCTK_nProcs(cgh)));
+
+ assert (num_outvals>=0);
+
+ assert (num_inarrays>=0);
+ assert (num_inarrays == num_outvals);
+ for (size_t tl=0; tl<inarrays.size(); ++tl) {
+ assert (inarrays.at(tl));
+ for (int n=0; n<num_inarrays; ++n) {
+ assert (inarrays.at(tl)[n]);
+ }
+ }
+ assert (tfacs.size() == inarrays.size());
+
+ for (int d=0; d<dim; ++d) {
+ assert (mylsh[d]>=0);
+ assert (mynghostzones[d]>=0 && 2*mynghostzones[d]<=mylsh[d]);
+ }
+
+ const int vartypesize = CCTK_VarTypeSize(outtype);
+ assert (vartypesize>=0);
+
+ assert (myoutvals);
+ assert (mycounts);
+
+ assert (outtype == intype);
+
+ vector<const void*> myinarrays(inarrays.size());
+
+ for (int n=0; n<num_outvals; ++n) {
+
+ for (size_t tl=0; tl<inarrays.size(); ++tl) {
+ myinarrays.at(tl) = inarrays.at(tl)[n];
+ }
+
+ switch (outtype) {
+#define REDUCE(OP,S) \
+ case do_##OP: { \
+ typedef typeconv<S>::goodtype T; \
+ reduce<T,OP::op<T> > (mylsh, mybbox, mynghostzones, \
+ myinarrays, tfacs, \
+ &((char*)myoutvals)[vartypesize*n], \
+ &((char*)mycounts )[vartypesize*n], \
+ weight, levfac); \
+ break; \
+ }
+#define TYPECASE(N,T) \
+ case N: { \
+ switch (red->thered()) { \
+ REDUCE(count,T); \
+ REDUCE(minimum,T); \
+ REDUCE(maximum,T); \
+ REDUCE(product,T); \
+ REDUCE(sum,T); \
+ REDUCE(sum_abs,T); \
+ REDUCE(sum_squared,T); \
+ REDUCE(average,T); \
+ REDUCE(norm1,T); \
+ REDUCE(norm2,T); \
+ REDUCE(norm_inf,T); \
+ default: \
+ assert (0); \
+ } \
+ break; \
+ }
+#include "Carpet/Carpet/src/typecase"
+#undef TYPECASE
+#undef REDUCE
+ default:
+ assert (0);
+ }
+
+ } // for n
+ }
+
+
+
+ void Finalise (const cGH* const cgh, const int proc,
+ const int num_outvals,
+ void* const outvals, const int outtype,
+ const void* const myoutvals,
+ const void* const mycounts,
+ const reduction* const red)
+ {
+ assert (cgh);
+
+ assert (proc == -1 || (proc>=0 && proc<CCTK_nProcs(cgh)));
+
+ assert (num_outvals>=0);
+ assert (outvals || (proc!=-1 && proc!=CCTK_MyProc(cgh)));
+
+ const int vartypesize = CCTK_VarTypeSize(outtype);
+ assert (vartypesize>=0);
+
+ assert (myoutvals);
+ assert (mycounts);
+
+ vector<char> counts;
+ if (proc==-1 || proc==CCTK_MyProc(cgh)) {
+ counts.resize(vartypesize * num_outvals);
+ }
+
+ const MPI_Datatype mpitype = CarpetSimpleMPIDatatype(outtype);
+ const int mpilength = CarpetSimpleMPIDatatypeLength(outtype);
+ if (proc == -1) {
+ MPI_Allreduce ((void*)myoutvals, outvals, mpilength*num_outvals,
+ mpitype, red->mpi_op(),
+ CarpetMPIComm());
+ if (red->uses_cnt()) {
+ MPI_Allreduce ((void*)mycounts, &counts[0], num_outvals*mpilength,
+ mpitype, MPI_SUM,
+ CarpetMPIComm());
+ }
+ } else {
+ MPI_Reduce ((void*)myoutvals, outvals, num_outvals*mpilength,
+ mpitype, red->mpi_op(),
+ proc, CarpetMPIComm());
+ if (red->uses_cnt()) {
+ MPI_Reduce ((void*)mycounts, &counts[0], num_outvals*mpilength,
+ mpitype, MPI_SUM,
+ proc, CarpetMPIComm());
+ }
+ }
+
+ if (proc==-1 || proc==CCTK_MyProc(cgh)) {
+
+ for (int n=0; n<num_outvals; ++n) {
+
+ assert (outvals);
+ assert ((int)counts.size() == vartypesize * num_outvals);
+
+ switch (outtype) {
+#define FINALISE(OP,S) \
+ case do_##OP: { \
+ typedef typeconv<S>::goodtype T; \
+ finalise<T,OP::op<T> > (&((char*)outvals)[vartypesize*n], \
+ & counts [vartypesize*n]); \
+ break; \
+ }
+#define TYPECASE(N,T) \
+ case N: { \
+ switch (red->thered()) { \
+ FINALISE(count,T); \
+ FINALISE(minimum,T); \
+ FINALISE(maximum,T); \
+ FINALISE(product,T); \
+ FINALISE(sum,T); \
+ FINALISE(sum_abs,T); \
+ FINALISE(sum_squared,T); \
+ FINALISE(average,T); \
+ FINALISE(norm1,T); \
+ FINALISE(norm2,T); \
+ FINALISE(norm_inf,T); \
+ default: \
+ assert (0); \
+ } \
+ break; \
+ }
+#include "Carpet/Carpet/src/typecase"
+#undef TYPECASE
+#undef FINALISE
+ default:
+ assert (0);
+ }
+
+ } // for n
+
+ } // if
+ }
+
+
+
+ int ReduceArrays (const cGH* const cgh, const int proc,
+ const int num_dims, const int* const dims,
+ const int num_inarrays,
+ const void* const* const inarrays, const int intype,
+ const int num_outvals,
+ void* const outvals, const int outtype,
+ const reduction* const red)
+ {
+ assert (cgh);
+
+ assert (proc == -1 || (proc>=0 && proc<CCTK_nProcs(cgh)));
+
+ assert (num_outvals>=0);
+ assert (outvals || (proc!=-1 && proc!=CCTK_MyProc(cgh)));
+
+ assert (num_inarrays>=0);
+ assert (inarrays);
+ for (int n=0; n<num_inarrays; ++n) {
+ assert (inarrays[n]);
+ }
+
+ assert (num_dims>=0 && num_dims<=dim);
+ for (int d=0; d<num_dims; ++d) {
+ assert (dims[d]>=0);
+ }
+
+ int lsize = 1;
+ for (int d=0; d<num_dims; ++d) {
+ lsize *= dims[d];
+ }
+
+ const bool do_local_reduction = num_outvals == 1;
+
+ if (! do_local_reduction) {
+ assert (num_outvals == lsize);
+ }
+
+ vect<int,dim> mylsh, mynghostzones;
+ vect<vect<int,2>,dim> mybbox;
+ for (int d=0; d<num_dims; ++d) {
+ mylsh[d] = dims[d];
+ mybbox[d][0] = 0;
+ mybbox[d][1] = 0;
+ mynghostzones[d] = 0;
+ }
+ for (int d=num_dims; d<dim; ++d) {
+ mylsh[d] = 1;
+ mybbox[d][0] = 0;
+ mybbox[d][1] = 0;
+ mynghostzones[d] = 0;
+ }
+
+ vector<const void* const*> myinarrays(1);
+ vector<CCTK_REAL> tfacs(1);
+ myinarrays.at(0) = inarrays;
+ tfacs.at(0) = 1.0;
+
+ const int vartypesize = CCTK_VarTypeSize(outtype);
+ assert (vartypesize>=0);
+
+ vector<char> myoutvals (vartypesize * num_inarrays * num_outvals);
+ vector<char> mycounts (vartypesize * num_inarrays * num_outvals);
+
+ Initialise (cgh, proc, num_inarrays * num_outvals, &myoutvals[0], outtype,
+ &mycounts[0], red);
+ if (do_local_reduction) {
+ Reduce (cgh, proc, &mylsh[0], &mybbox[0][0], &mynghostzones[0],
+ num_inarrays, myinarrays, tfacs, intype,
+ num_inarrays * num_outvals, &myoutvals[0], outtype,
+ &mycounts[0], red,
+ NULL, 1.0);
+ } else {
+ Copy (cgh, proc, lsize, num_inarrays, inarrays, intype,
+ num_inarrays * num_outvals, &myoutvals[0], outtype,
+ &mycounts[0]);
+ }
+ Finalise (cgh, proc, num_inarrays * num_outvals, outvals, outtype,
+ &myoutvals[0], &mycounts[0], red);
+
+ return 0;
+ }
+
+
+
+ int ReduceGVs (const cGH* const cgh, const int proc,
+ const int num_outvals, const int outtype, void* const outvals,
+ const int num_invars, const int* const invars,
+ const reduction* const red)
+ {
+ int ierr;
+
+ assert (cgh);
+
+ assert (proc == -1 || (proc>=0 && proc<CCTK_nProcs(cgh)));
+
+ assert (num_outvals>=0);
+ assert (num_outvals==1);
+ assert (outvals || (proc!=-1 && proc!=CCTK_MyProc(cgh)));
+
+ assert (num_invars>=0);
+ assert (invars);
+ for (int n=0; n<num_invars; ++n) {
+ assert (invars[n]>=0 && invars[n]<CCTK_NumVars());
+ }
+
+ if (num_invars==0) return 0;
+
+ assert (num_invars>0);
+ const int vi = invars[0];
+ assert (vi>=0 && vi<CCTK_NumVars());
+
+ const int grpdim = CCTK_GroupDimFromVarI(vi);
+ assert (grpdim>=0 && grpdim<=dim);
+ for (int n=0; n<num_invars; ++n) {
+ assert (CCTK_GroupDimFromVarI(invars[n]) == grpdim);
+ }
+
+ const int intype = CCTK_VarTypeI(vi);
+ for (int n=0; n<num_invars; ++n) {
+ assert (CCTK_VarTypeI(invars[n]) == intype);
+ }
+
+ const int vartypesize = CCTK_VarTypeSize(outtype);
+ assert (vartypesize>=0);
+
+
+
+ // meta mode
+ if (is_meta_mode()) {
+ CCTK_WARN (0, "Grid variable reductions are not possible in meta mode");
+ }
+
+ bool const reduce_arrays = CCTK_GroupTypeFromVarI(vi) != CCTK_GF;
+ bool const want_global_mode = is_global_mode() && ! reduce_arrays;
+ bool const want_level_mode = is_level_mode() && ! reduce_arrays;
+
+ for (int n=0; n<num_invars; ++n) {
+ if ((CCTK_GroupTypeFromVarI(invars[n]) != CCTK_GF) != reduce_arrays) {
+ CCTK_WARN (0, "Cannot (yet) reduce grid functions and grid arrays/scalars at the same time");
+ }
+ }
+
+ // Ensure that all maps have the same number of refinement levels
+ for (int m=0; m<(int)vhh.size(); ++m) {
+ assert (vhh.at(m)->reflevels() == vhh.at(0)->reflevels());
+ }
+ int const minrl = reduce_arrays ? 0 : want_global_mode ? 0 : reflevel;
+ int const maxrl = reduce_arrays ? 1 : want_global_mode ? vhh.at(0)->reflevels() : reflevel+1;
+ int const minm = reduce_arrays ? 0 : want_global_mode || want_level_mode ? 0 : Carpet::map;
+ int const maxm = reduce_arrays ? 1 : want_global_mode || want_level_mode ? maps : Carpet::map+1;
+
+
+
+ // Find the time interpolation order
+ int partype;
+ void const * const parptr
+ = CCTK_ParameterGet ("prolongation_order_time", "Carpet", &partype);
+ assert (parptr);
+ assert (partype == PARAMETER_INTEGER);
+ int const prolongation_order_time = * (CCTK_INT const *) parptr;
+
+ CCTK_REAL const current_time = cgh->cctk_time / cgh->cctk_delta_time;
+
+
+
+ vector<char> myoutvals (vartypesize * num_invars * num_outvals);
+ vector<char> mycounts (vartypesize * num_invars * num_outvals);
+
+ Initialise (cgh, proc, num_invars * num_outvals, &myoutvals[0], outtype,
+ &mycounts[0], red);
+
+ BEGIN_GLOBAL_MODE(cgh) {
+ for (int rl=minrl; rl<maxrl; ++rl) {
+ enter_level_mode (const_cast<cGH*>(cgh), rl);
+
+
+
+ // Number of necessary time levels
+ CCTK_REAL const level_time = cgh->cctk_time / cgh->cctk_delta_time;
+ bool need_time_interp
+ = (! reduce_arrays
+ && (fabs(current_time - level_time)
+ > 1e-12 * (fabs(level_time) + fabs(current_time)
+ + fabs(cgh->cctk_delta_time))));
+ assert (! (! want_global_mode && need_time_interp));
+ assert (! (reduce_arrays && need_time_interp));
+ int num_tl = need_time_interp ? prolongation_order_time + 1 : 1;
+
+ // Are there enought time levels?
+ if (need_time_interp) {
+
+ if (CCTK_ActiveTimeLevelsVI(cgh, vi) < num_tl) {
+ static vector<bool> have_warned;
+ if (have_warned.empty()) {
+ have_warned.resize (CCTK_NumVars(), false);
+ }
+ if (! have_warned.at(vi)) {
+ char * const fullname = CCTK_FullName(vi);
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Grid function \"%s\" has only %d active time levels on refinement level %d; this is not enough for time interpolation. Using the current time level instead",
+ fullname, CCTK_ActiveTimeLevelsVI(cgh, vi), reflevel);
+ free (fullname);
+ have_warned.at(vi) = true;
+ }
+
+ // fall back
+ need_time_interp = false;
+ num_tl = 1;
+ }
+
+ }
+
+ vector<CCTK_REAL> tfacs(num_tl);
+
+ // Interpolate in time, if necessary
+ if (need_time_interp) {
+
+ // Get interpolation times
+ CCTK_REAL const time = current_time;
+ vector<CCTK_REAL> times(num_tl);
+ for (int tl=0; tl<num_tl; ++tl) {
+ times.at(tl) = vtt.at(0)->time (-tl, reflevel, mglevel);
+ }
+
+ // Calculate interpolation weights
+ switch (num_tl) {
+ case 1:
+ // no interpolation
+ assert (fabs((time - times.at(0)) / fabs(time + times.at(0) + cgh->cctk_delta_time)) < 1e-12);
+ tfacs.at(0) = 1.0;
+ break;
+ case 2:
+ // linear (2-point) interpolation
+ tfacs.at(0) = (time - times.at(1)) / (times.at(0) - times.at(1));
+ tfacs.at(1) = (time - times.at(0)) / (times.at(1) - times.at(0));
+ break;
+ case 3:
+ // quadratic (3-point) interpolation
+ tfacs.at(0) = (time - times.at(1)) * (time - times.at(2)) / ((times.at(0) - times.at(1)) * (times.at(0) - times.at(2)));
+ tfacs.at(1) = (time - times.at(0)) * (time - times.at(2)) / ((times.at(1) - times.at(0)) * (times.at(1) - times.at(2)));
+ tfacs.at(2) = (time - times.at(0)) * (time - times.at(1)) / ((times.at(2) - times.at(0)) * (times.at(2) - times.at(1)));
+ break;
+ default:
+ assert (0);
+ }
+
+ } else { // if ! need_time_interp
+
+ assert (num_tl == 1);
+ tfacs.at(0) = 1;
+
+ } // if ! need_time_interp
+
+
+
+ for (int m=minm; m<maxm; ++m) {
+ enter_singlemap_mode (const_cast<cGH*>(cgh), m);
+ BEGIN_LOCAL_COMPONENT_LOOP(cgh, reduce_arrays ? CCTK_ARRAY : CCTK_GF) {
+
+
+
+ assert (grpdim<=dim);
+ int lsh[dim], bbox[2*dim], nghostzones[dim];
+ ierr = CCTK_GrouplshVI(cgh, grpdim, lsh, vi);
+ assert (!ierr);
+ ierr = CCTK_GroupbboxVI(cgh, 2*grpdim, bbox, vi);
+ assert (!ierr);
+ ierr = CCTK_GroupnghostzonesVI(cgh, grpdim, nghostzones, vi);
+ assert (!ierr);
+ for (int d=0; d<grpdim; ++d) {
+ assert (lsh[d]>=0);
+ assert (nghostzones[d]>=0 && 2*nghostzones[d]<=lsh[d]);
+ }
+
+ vect<int,dim> mylsh, mynghostzones;
+ vect<vect<int,2>,dim> mybbox;
+ for (int d=0; d<grpdim; ++d) {
+ mylsh[d] = lsh[d];
+ mybbox[d][0] = bbox[2*d ];
+ mybbox[d][1] = bbox[2*d+1];
+ mynghostzones[d] = nghostzones[d];
+ }
+ for (int d=grpdim; d<dim; ++d) {
+ mylsh[d] = 1;
+ mybbox[d][0] = 0;
+ mybbox[d][1] = 0;
+ mynghostzones[d] = 0;
+ }
+
+
+
+ CCTK_REAL const * weight;
+ CCTK_REAL levfac;
+ if (want_global_mode) {
+ weight = (static_cast<CCTK_REAL const *>
+ (CCTK_VarDataPtr (cgh, 0, "CarpetReduce::weight")));
+ assert (weight);
+ levfac = pow(CCTK_REAL(reflevelfact), -grpdim);
+ } else {
+ weight = NULL;
+ levfac = 1.0;
+ }
+
+ vector<vector<const void*> > myinarrays (num_tl);
+ vector<const void* const*> inarrays (num_tl);
+ for (int tl=0; tl<num_tl; ++tl) {
+ myinarrays.at(tl).resize (num_invars);
+ for (int n=0; n<num_invars; ++n) {
+ myinarrays.at(tl).at(n) = CCTK_VarDataPtrI(cgh, tl, invars[n]);
+ assert (myinarrays.at(tl).at(n));
+ }
+ inarrays.at(tl) = &myinarrays.at(tl).at(0);
+ }
+
+
+
+ Reduce (cgh, proc, &mylsh[0], &mybbox[0][0], &mynghostzones[0],
+ num_invars, inarrays, tfacs, intype,
+ num_invars * num_outvals, &myoutvals[0], outtype,
+ &mycounts[0], red,
+ weight, levfac);
+
+
+
+ } END_LOCAL_COMPONENT_LOOP;
+ leave_singlemap_mode (const_cast<cGH*>(cgh));
+ } // for m
+
+ leave_level_mode (const_cast<cGH*>(cgh));
+ } // for rl
+ } END_GLOBAL_MODE;
+
+ Finalise (cgh, proc, num_invars * num_outvals, outvals, outtype,
+ &myoutvals[0], &mycounts[0], red);
+
+ return 0;
+ }
+
+
+
+#define REDUCTION(OP) \
+ int OP##_arrays (const cGH * const cgh, const int proc, \
+ const int num_dims, const int * const dims, \
+ const int num_inarrays, \
+ const void * const * const inarrays, const int intype, \
+ const int num_outvals, \
+ void * const outvals, const int outtype) \
+ { \
+ const OP red; \
+ return ReduceArrays \
+ (cgh, proc, num_dims, dims, \
+ num_inarrays, inarrays, intype, num_outvals, outvals, outtype, \
+ &red); \
+ } \
+ \
+ int OP##_GVs (const cGH * const cgh, const int proc, \
+ const int num_outvals, \
+ const int outtype, void * const outvals, \
+ const int num_invars, const int * const invars) \
+ { \
+ const OP red; \
+ return ReduceGVs (cgh, proc, \
+ num_outvals, outtype, outvals, num_invars, invars, \
+ &red); \
+ }
+
+ REDUCTION(count);
+ REDUCTION(minimum);
+ REDUCTION(maximum);
+ REDUCTION(product);
+ REDUCTION(sum);
+ REDUCTION(sum_abs);
+ REDUCTION(sum_squared);
+ REDUCTION(average);
+ REDUCTION(norm1);
+ REDUCTION(norm2);
+ REDUCTION(norm_inf);
+
+#undef REDUCTION
+
+
+
+ void CarpetReduceStartup ()
+ {
+ CCTK_RegisterReductionOperator (count_GVs, "count");
+ CCTK_RegisterReductionOperator (minimum_GVs, "minimum");
+ CCTK_RegisterReductionOperator (maximum_GVs, "maximum");
+ CCTK_RegisterReductionOperator (product_GVs, "product");
+ CCTK_RegisterReductionOperator (sum_GVs, "sum");
+ CCTK_RegisterReductionOperator (sum_abs_GVs, "sum_abs");
+ CCTK_RegisterReductionOperator (sum_squared_GVs, "sum_squared");
+ CCTK_RegisterReductionOperator (average_GVs, "average");
+ CCTK_RegisterReductionOperator (norm1_GVs, "norm1");
+ CCTK_RegisterReductionOperator (norm2_GVs, "norm2");
+ CCTK_RegisterReductionOperator (norm_inf_GVs, "norm_inf");
+
+ CCTK_RegisterReductionArrayOperator (count_arrays, "count");
+ CCTK_RegisterReductionArrayOperator (minimum_arrays, "minimum");
+ CCTK_RegisterReductionArrayOperator (maximum_arrays, "maximum");
+ CCTK_RegisterReductionArrayOperator (product_arrays, "product");
+ CCTK_RegisterReductionArrayOperator (sum_arrays, "sum");
+ CCTK_RegisterReductionArrayOperator (sum_abs_arrays, "sum_abs");
+ CCTK_RegisterReductionArrayOperator (sum_squared_arrays, "sum_squared");
+ CCTK_RegisterReductionArrayOperator (average_arrays, "average");
+ CCTK_RegisterReductionArrayOperator (norm1_arrays, "norm1");
+ CCTK_RegisterReductionArrayOperator (norm2_arrays, "norm2");
+ CCTK_RegisterReductionArrayOperator (norm_inf_arrays, "norm_inf");
+ }
+
+} // namespace CarpetReduce
diff --git a/Carpet/CarpetReduce/src/reduce.h b/Carpet/CarpetReduce/src/reduce.h
new file mode 100644
index 000000000..a30a5a735
--- /dev/null
+++ b/Carpet/CarpetReduce/src/reduce.h
@@ -0,0 +1,19 @@
+/* $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetReduce/src/reduce.h,v 1.3 2003/04/30 12:41:02 schnetter Exp $ */
+
+#ifndef CARPETREDUCE_H
+#define CARPETREDUCE_H
+
+#ifdef __cplusplus
+namespace CarpetReduce {
+ extern "C" {
+#endif
+
+ /* Scheduled functions */
+ void CarpetReduceStartup (void);
+
+#ifdef __cplusplus
+ } /* extern "C" */
+} /* namespace CarpetReduce */
+#endif
+
+#endif /* !defined(CARPETREDUCE_H) */
diff --git a/Carpet/CarpetReduce/src/reduce.hh b/Carpet/CarpetReduce/src/reduce.hh
new file mode 100644
index 000000000..856f2f823
--- /dev/null
+++ b/Carpet/CarpetReduce/src/reduce.hh
@@ -0,0 +1,8 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetReduce/src/reduce.hh,v 1.4 2002/09/01 14:52:28 schnetter Exp $
+
+#ifndef CARPETREDUCE_HH
+#define CARPETREDUCE_HH
+
+#include "reduce.h"
+
+#endif // !defined(CARPETREDUCE_HH)
diff --git a/Carpet/CarpetRegrid/COPYING b/Carpet/CarpetRegrid/COPYING
new file mode 100644
index 000000000..1942c4334
--- /dev/null
+++ b/Carpet/CarpetRegrid/COPYING
@@ -0,0 +1,341 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 59 Temple Place - Suite 330
+ Boston, MA 02111-1307, USA.
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
+
+ The licenses for most software are designed to take away your
+freedom to share and change it. By contrast, the GNU General Public
+License is intended to guarantee your freedom to share and change free
+software--to make sure the software is free for all its users. This
+General Public License applies to most of the Free Software
+Foundation's software and to any other program whose authors commit to
+using it. (Some other Free Software Foundation software is covered by
+the GNU Library General Public License instead.) You can apply it to
+your programs, too.
+
+ When we speak of free software, we are referring to freedom, not
+price. Our General Public Licenses are designed to make sure that you
+have the freedom to distribute copies of free software (and charge for
+this service if you wish), that you receive source code or can get it
+if you want it, that you can change the software or use pieces of it
+in new free programs; and that you know you can do these things.
+
+ To protect your rights, we need to make restrictions that forbid
+anyone to deny you these rights or to ask you to surrender the rights.
+These restrictions translate to certain responsibilities for you if you
+distribute copies of the software, or if you modify it.
+
+ For example, if you distribute copies of such a program, whether
+gratis or for a fee, you must give the recipients all the rights that
+you have. You must make sure that they, too, receive or can get the
+source code. And you must show them these terms so they know their
+rights.
+
+ We protect your rights with two steps: (1) copyright the software, and
+(2) offer you this license which gives you legal permission to copy,
+distribute and/or modify the software.
+
+ Also, for each author's protection and ours, we want to make certain
+that everyone understands that there is no warranty for this free
+software. If the software is modified by someone else and passed on, we
+want its recipients to know that what they have is not the original, so
+that any problems introduced by others will not reflect on the original
+authors' reputations.
+
+ Finally, any free program is threatened constantly by software
+patents. We wish to avoid the danger that redistributors of a free
+program will individually obtain patent licenses, in effect making the
+program proprietary. To prevent this, we have made it clear that any
+patent must be licensed for everyone's free use or not licensed at all.
+
+ The precise terms and conditions for copying, distribution and
+modification follow.
+
+ GNU GENERAL PUBLIC LICENSE
+ TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
+
+ 0. This License applies to any program or other work which contains
+a notice placed by the copyright holder saying it may be distributed
+under the terms of this General Public License. The "Program", below,
+refers to any such program or work, and a "work based on the Program"
+means either the Program or any derivative work under copyright law:
+that is to say, a work containing the Program or a portion of it,
+either verbatim or with modifications and/or translated into another
+language. (Hereinafter, translation is included without limitation in
+the term "modification".) Each licensee is addressed as "you".
+
+Activities other than copying, distribution and modification are not
+covered by this License; they are outside its scope. The act of
+running the Program is not restricted, and the output from the Program
+is covered only if its contents constitute a work based on the
+Program (independent of having been made by running the Program).
+Whether that is true depends on what the Program does.
+
+ 1. You may copy and distribute verbatim copies of the Program's
+source code as you receive it, in any medium, provided that you
+conspicuously and appropriately publish on each copy an appropriate
+copyright notice and disclaimer of warranty; keep intact all the
+notices that refer to this License and to the absence of any warranty;
+and give any other recipients of the Program a copy of this License
+along with the Program.
+
+You may charge a fee for the physical act of transferring a copy, and
+you may at your option offer warranty protection in exchange for a fee.
+
+ 2. You may modify your copy or copies of the Program or any portion
+of it, thus forming a work based on the Program, and copy and
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+
+These requirements apply to the modified work as a whole. If
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+ 10. If you wish to incorporate parts of the Program into other free
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+ NO WARRANTY
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+ 11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
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+PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
+POSSIBILITY OF SUCH DAMAGES.
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+ END OF TERMS AND CONDITIONS
+
+ How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+ To do so, attach the following notices to the program. It is safest
+to attach them to the start of each source file to most effectively
+convey the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+ <one line to give the program's name and a brief idea of what it does.>
+ Copyright (C) 19yy <name of author>
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation; either version 2 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program; see the file COPYING. If not, write to
+ the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA.
+
+Also add information on how to contact you by electronic and paper mail.
+
+If the program is interactive, make it output a short notice like this
+when it starts in an interactive mode:
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+ Gnomovision version 69, Copyright (C) 19yy name of author
+ Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+ This is free software, and you are welcome to redistribute it
+ under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License. Of course, the commands you use may
+be called something other than `show w' and `show c'; they could even be
+mouse-clicks or menu items--whatever suits your program.
+
+You should also get your employer (if you work as a programmer) or your
+school, if any, to sign a "copyright disclaimer" for the program, if
+necessary. Here is a sample; alter the names:
+
+ Yoyodyne, Inc., hereby disclaims all copyright interest in the program
+ `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+ <signature of Ty Coon>, 1 April 1989
+ Ty Coon, President of Vice
+
+This General Public License does not permit incorporating your program into
+proprietary programs. If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library. If this is what you want to do, use the GNU Library General
+Public License instead of this License.
diff --git a/Carpet/CarpetRegrid/README b/Carpet/CarpetRegrid/README
new file mode 100644
index 000000000..a10d18f5c
--- /dev/null
+++ b/Carpet/CarpetRegrid/README
@@ -0,0 +1,8 @@
+Cactus Code Thorn CarpetRegrid
+Authors : Erik Schnetter <schnetter@uni-tuebingen.de>
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetRegrid/README,v 1.1 2001/12/14 16:34:37 schnetter Exp $
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+This thorn handles regridding for Carpet.
diff --git a/Carpet/CarpetRegrid/configuration.ccl b/Carpet/CarpetRegrid/configuration.ccl
new file mode 100644
index 000000000..be06ddeb1
--- /dev/null
+++ b/Carpet/CarpetRegrid/configuration.ccl
@@ -0,0 +1,6 @@
+# Configuration definitions for thorn CarpetRegrid
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetRegrid/configuration.ccl,v 1.3 2004/06/08 21:09:25 schnetter Exp $
+
+REQUIRES Carpet CarpetLib
+
+REQUIRES THORNS: Carpet CarpetLib
diff --git a/Carpet/CarpetRegrid/interface.ccl b/Carpet/CarpetRegrid/interface.ccl
new file mode 100644
index 000000000..052fffc73
--- /dev/null
+++ b/Carpet/CarpetRegrid/interface.ccl
@@ -0,0 +1,72 @@
+# Interface definition for thorn CarpetRegrid
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetRegrid/interface.ccl,v 1.17 2004/08/07 19:44:59 schnetter Exp $
+
+IMPLEMENTS: CarpetRegrid
+
+uses include header: carpet.hh
+
+uses include header: defs.hh
+
+uses include header: bbox.hh
+uses include header: bboxset.hh
+uses include header: vect.hh
+
+uses include header: gf.hh
+uses include header: gh.hh
+
+
+
+# The location of the boundary points
+CCTK_INT FUNCTION GetBoundarySpecification \
+ (CCTK_INT IN size, \
+ CCTK_INT OUT ARRAY nboundaryzones, \
+ CCTK_INT OUT ARRAY is_internal, \
+ CCTK_INT OUT ARRAY is_staggered, \
+ CCTK_INT OUT ARRAY shiftout)
+USES FUNCTION GetBoundarySpecification
+
+# The overall size of the domain
+CCTK_INT FUNCTION GetDomainSpecification \
+ (CCTK_INT IN size, \
+ CCTK_REAL OUT ARRAY physical_min, \
+ CCTK_REAL OUT ARRAY physical_max, \
+ CCTK_REAL OUT ARRAY interior_min, \
+ CCTK_REAL OUT ARRAY interior_max, \
+ CCTK_REAL OUT ARRAY exterior_min, \
+ CCTK_REAL OUT ARRAY exterior_max, \
+ CCTK_REAL OUT ARRAY spacing)
+USES FUNCTION GetDomainSpecification
+
+# Convert between boundaries types
+CCTK_INT FUNCTION ConvertFromPhysicalBoundary \
+ (CCTK_INT IN size, \
+ CCTK_REAL IN ARRAY physical_min, \
+ CCTK_REAL IN ARRAY physical_max, \
+ CCTK_REAL OUT ARRAY interior_min, \
+ CCTK_REAL OUT ARRAY interior_max, \
+ CCTK_REAL OUT ARRAY exterior_min, \
+ CCTK_REAL OUT ARRAY exterior_max, \
+ CCTK_REAL IN ARRAY spacing)
+USES FUNCTION ConvertFromPhysicalBoundary
+
+
+
+# The true prototype of the routine below:
+# int Carpet_Regrid (const cGH * cctkGH,
+# gh<dim>::rexts * bbsss,
+# gh<dim>::rbnds * obss,
+# gh<dim>::rprocs * pss);
+CCTK_INT FUNCTION Carpet_Regrid (CCTK_POINTER_TO_CONST IN cctkGH, \
+ CCTK_POINTER IN bbsss, \
+ CCTK_POINTER IN obss, \
+ CCTK_POINTER IN pss, \
+ CCTK_INT IN force)
+PROVIDES FUNCTION Carpet_Regrid WITH CarpetRegrid_Regrid LANGUAGE C
+
+
+
+
+CCTK_INT FUNCTION RegridLevel (CCTK_POINTER_TO_CONST IN cctkGH, \
+ CCTK_INT IN current_max_reflevel, \
+ CCTK_INT IN max_reflevels)
+USES FUNCTION RegridLevel
diff --git a/Carpet/CarpetRegrid/param.ccl b/Carpet/CarpetRegrid/param.ccl
new file mode 100644
index 000000000..447dcc450
--- /dev/null
+++ b/Carpet/CarpetRegrid/param.ccl
@@ -0,0 +1,347 @@
+# Parameter definitions for thorn CarpetRegrid
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetRegrid/param.ccl,v 1.21 2004/08/02 11:40:36 schnetter Exp $
+
+
+
+BOOLEAN verbose "Print screen output while running"
+{
+} "no"
+
+
+
+CCTK_INT refinement_levels "Number of refinement levels (including the base level)" STEERABLE=always
+{
+ 1:* :: "must be positive, and must not be larger than Carpet::max_refinement_levels"
+} 1
+
+
+
+CCTK_INT regrid_every "Regrid every n time steps" STEERABLE=always
+{
+ -1 :: "regrid never"
+ 0 :: "regrid during initial data calculation only"
+ 1:* :: "regrid every n time steps"
+} 0
+
+
+
+KEYWORD activate_levels_on_regrid "Whether to activate or deactivate new levels on regridding" STEERABLE=always
+{
+ "none" :: "Do not activate or deactivate any levels"
+ "fixed" :: "Activate or deactivate a fixed number of levels"
+ "function" :: "Activate or deactivate a variable number of levels, determined by a user-specified function. When this option is used, the parameters num_new_levels and activate_next have no effect and should not be set."
+} "none"
+
+CCTK_INT num_new_levels "When regridding, activate this many new levels (if possible). Note that this will steer the parameter refinement_levels." STEERABLE=always
+{
+ : :: "Number of new levels to activate (negative numbers deactivate)"
+} 0
+
+CCTK_INT activate_next "The next iteration at which new levels should be activated" STEERABLE=always
+{
+ 0: :: "Note that this parameter is steered when new levels are activated"
+} 1
+
+BOOLEAN keep_same_grid_structure "Do not allow the grid structure to change; only allow levels to be switched on or off" STEERABLE=always
+{
+} "no"
+
+
+
+KEYWORD refined_regions "Regions where the grid is refined" STEERABLE=always
+{
+ "none" :: "Don't refine"
+ "centre" :: "Refine around the centre of the grid only"
+ "manual-gridpoints" :: "Refine the regions specified by integer grid points l[123]i[xyz]{min,max}"
+ "manual-coordinates" :: "Refine the regions specified by coordinates l[123][xyz]{min,max}"
+ "manual-gridpoint-list" :: "Refine the regions specified by integer grid points in the parameter 'gridpoints'"
+ "manual-coordinate-list" :: "Refine the regions specified by coordinates in the parameter 'coordinates'"
+ "moving" :: "Refine a moving region"
+ "automatic" :: "Refine automatically"
+} "centre"
+
+
+
+BOOLEAN smart_outer_boundaries "Use the CoordBase interface for outer boundaries" STEERABLE=always
+{
+} no
+
+
+
+# Region specifications for centre refinement
+
+BOOLEAN symmetry_x "Refine the lower half in x-direction" STEERABLE=always
+{
+} "no"
+BOOLEAN symmetry_y "Refine the lower half in y-direction" STEERABLE=always
+{
+} "no"
+BOOLEAN symmetry_z "Refine the lower half in z-direction" STEERABLE=always
+{
+} "no"
+
+
+
+# Region specifications for moving boxes
+
+KEYWORD moving_trajectory "Type of trajectory" STEERABLE=always
+{
+ "point" :: "Do not move"
+ "circle" :: "Move in a circle"
+} "point"
+
+CCTK_REAL moving_region_radius "Radius of the moving region (on the first refined level)" STEERABLE=always
+{
+ (0: :: ""
+} 1.0
+
+CCTK_REAL moving_centre_x "x-coordinate of the centre" STEERABLE=always
+{
+ : :: ""
+} 0.0
+
+CCTK_REAL moving_centre_y "y-coordinate of the centre" STEERABLE=always
+{
+ : :: ""
+} 0.0
+
+CCTK_REAL moving_centre_z "z-coordinate of the centre" STEERABLE=always
+{
+ : :: ""
+} 0.0
+
+CCTK_REAL moving_circle_radius "Radius of the circle" STEERABLE=always
+{
+ 0: :: ""
+} 1.0
+
+CCTK_REAL moving_circle_frequency "Angular frequency on the circle" STEERABLE=always
+{
+ 0: :: ""
+} 1.0
+
+
+
+# Region specifications for manual gridpoint refinement
+
+CCTK_INT l1ixmin "Lower boundary of level 1 box in x-direction" STEERABLE=always
+{
+ : :: ""
+} 0
+CCTK_INT l1iymin "Lower boundary of level 1 box in y-direction" STEERABLE=always
+{
+ : :: ""
+} 0
+CCTK_INT l1izmin "Lower boundary of level 1 box in z-direction" STEERABLE=always
+{
+ : :: ""
+} 0
+
+CCTK_INT l1ixmax "Upper boundary of level 1 box in x-direction" STEERABLE=always
+{
+ : :: ""
+} -1
+CCTK_INT l1iymax "Upper boundary of level 1 box in y-direction" STEERABLE=always
+{
+ : :: ""
+} -1
+CCTK_INT l1izmax "Upper boundary of level 1 box in z-direction" STEERABLE=always
+{
+ : :: ""
+} -1
+
+
+
+CCTK_INT l2ixmin "Lower boundary of level 2 box in x-direction" STEERABLE=always
+{
+ : :: ""
+} 0
+CCTK_INT l2iymin "Lower boundary of level 2 box in y-direction" STEERABLE=always
+{
+ : :: ""
+} 0
+CCTK_INT l2izmin "Lower boundary of level 2 box in z-direction" STEERABLE=always
+{
+ : :: ""
+} 0
+
+CCTK_INT l2ixmax "Upper boundary of level 2 box in x-direction" STEERABLE=always
+{
+ : :: ""
+} -1
+CCTK_INT l2iymax "Upper boundary of level 2 box in y-direction" STEERABLE=always
+{
+ : :: ""
+} -1
+CCTK_INT l2izmax "Upper boundary of level 2 box in z-direction" STEERABLE=always
+{
+ : :: ""
+} -1
+
+
+
+CCTK_INT l3ixmin "Lower boundary of level 3 box in x-direction" STEERABLE=always
+{
+ : :: ""
+} 0
+CCTK_INT l3iymin "Lower boundary of level 3 box in y-direction" STEERABLE=always
+{
+ : :: ""
+} 0
+CCTK_INT l3izmin "Lower boundary of level 3 box in z-direction" STEERABLE=always
+{
+ : :: ""
+} 0
+
+CCTK_INT l3ixmax "Upper boundary of level 3 box in x-direction" STEERABLE=always
+{
+ : :: ""
+} -1
+CCTK_INT l3iymax "Upper boundary of level 3 box in y-direction" STEERABLE=always
+{
+ : :: ""
+} -1
+CCTK_INT l3izmax "Upper boundary of level 3 box in z-direction" STEERABLE=always
+{
+ : :: ""
+} -1
+
+
+
+# Region specifications for manual coordinate refinement
+
+CCTK_REAL l1xmin "Lower boundary of level 1 box in x-direction" STEERABLE=always
+{
+ : :: ""
+} 0
+CCTK_REAL l1ymin "Lower boundary of level 1 box in y-direction" STEERABLE=always
+{
+ : :: ""
+} 0
+CCTK_REAL l1zmin "Lower boundary of level 1 box in z-direction" STEERABLE=always
+{
+ : :: ""
+} 0
+
+CCTK_REAL l1xmax "Upper boundary of level 1 box in x-direction" STEERABLE=always
+{
+ : :: ""
+} -1
+CCTK_REAL l1ymax "Upper boundary of level 1 box in y-direction" STEERABLE=always
+{
+ : :: ""
+} -1
+CCTK_REAL l1zmax "Upper boundary of level 1 box in z-direction" STEERABLE=always
+{
+ : :: ""
+} -1
+
+
+
+CCTK_REAL l2xmin "Lower boundary of level 2 box in x-direction" STEERABLE=always
+{
+ : :: ""
+} 0
+CCTK_REAL l2ymin "Lower boundary of level 2 box in y-direction" STEERABLE=always
+{
+ : :: ""
+} 0
+CCTK_REAL l2zmin "Lower boundary of level 2 box in z-direction" STEERABLE=always
+{
+ : :: ""
+} 0
+
+CCTK_REAL l2xmax "Upper boundary of level 2 box in x-direction" STEERABLE=always
+{
+ : :: ""
+} -1
+CCTK_REAL l2ymax "Upper boundary of level 2 box in y-direction" STEERABLE=always
+{
+ : :: ""
+} -1
+CCTK_REAL l2zmax "Upper boundary of level 2 box in z-direction" STEERABLE=always
+{
+ : :: ""
+} -1
+
+
+
+CCTK_REAL l3xmin "Lower boundary of level 3 box in x-direction" STEERABLE=always
+{
+ : :: ""
+} 0
+CCTK_REAL l3ymin "Lower boundary of level 3 box in y-direction" STEERABLE=always
+{
+ : :: ""
+} 0
+CCTK_REAL l3zmin "Lower boundary of level 3 box in z-direction" STEERABLE=always
+{
+ : :: ""
+} 0
+
+CCTK_REAL l3xmax "Upper boundary of level 3 box in x-direction" STEERABLE=always
+{
+ : :: ""
+} -1
+CCTK_REAL l3ymax "Upper boundary of level 3 box in y-direction" STEERABLE=always
+{
+ : :: ""
+} -1
+CCTK_REAL l3zmax "Upper boundary of level 3 box in z-direction" STEERABLE=always
+{
+ : :: ""
+} -1
+
+
+
+# Refinement criteria for manual-gridpoint-list
+
+CCTK_STRING gridpoints "List of bounding box gridpoints" STEERABLE=always
+{
+ "^$" :: "leave empty for no refinement"
+ ".*" :: "[ [ ([<imin>,<jmin>,<kmin>]:[<imax>,<jmax>,<kmax>]:[<istride>,<jstride>,<kstride>]), ... ], ... ]"
+} ""
+
+
+
+# Refinement criteria for manual-coordinate-list
+
+CCTK_STRING coordinates "List of bounding box coordinates" STEERABLE=always
+{
+ "^$" :: "leave empty for no refinement"
+ ".*" :: "[ [ ([<xmin>,<ymin>,<zmin>]:[<xmax>,<ymax>,<zmax>]:[<xstride>,<ystride>,<zstride>]), ... ], ... ]"
+} ""
+
+
+
+# Outer boundaries for manual-gridpoint-list and manual-coordinate-list
+
+CCTK_STRING outerbounds "Outer boundaries" STEERABLE=always
+{
+ "^$" :: "leave empty for no outer boundaries"
+ ".*" :: "[ [ [[?,?],[?,?],[?,?]], ... ], ...]"
+} ""
+
+
+
+# Refinement criteria for automatic refining
+
+CCTK_INT minwidth "Minimum width of refined region" STEERABLE=always
+{
+ 1:* :: "must be positive"
+} 8
+
+CCTK_REAL minfraction "Minimum fraction of points in need of refinement in a refined region" STEERABLE=always
+{
+ 0:1 :: "must be positive and less than one"
+} 0.75
+
+CCTK_REAL maxerror "Maximum allowed error for non-refined grid points" STEERABLE=always
+{
+ *:* :: "everything goes"
+} 1.0
+
+CCTK_STRING errorvar "Name of grid function that contains the error" STEERABLE=always
+{
+ ".*" :: "must be the name of a grid function"
+} ""
diff --git a/Carpet/CarpetRegrid/schedule.ccl b/Carpet/CarpetRegrid/schedule.ccl
new file mode 100644
index 000000000..a0479a01d
--- /dev/null
+++ b/Carpet/CarpetRegrid/schedule.ccl
@@ -0,0 +1,8 @@
+# Schedule definitions for thorn CarpetRegrid
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetRegrid/schedule.ccl,v 1.6 2004/01/25 14:57:30 schnetter Exp $
+
+schedule CarpetRegridParamcheck at PARAMCHECK
+{
+ LANG: C
+ OPTIONS: global
+} "Check Parameters"
diff --git a/Carpet/CarpetRegrid/src/automatic.cc b/Carpet/CarpetRegrid/src/automatic.cc
new file mode 100644
index 000000000..a3b4da055
--- /dev/null
+++ b/Carpet/CarpetRegrid/src/automatic.cc
@@ -0,0 +1,408 @@
+#include <assert.h>
+#include <string.h>
+
+#include <algorithm>
+#include <list>
+#include <vector>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "gf.hh"
+#include "gh.hh"
+#include "vect.hh"
+
+#include "carpet.hh"
+#include "regrid.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetRegrid/src/automatic.cc,v 1.5 2004/08/04 16:25:58 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetRegrid_automatic_cc);
+}
+
+
+
+namespace CarpetRegrid {
+
+ using namespace std;
+ using namespace Carpet;
+
+
+
+ int Automatic (cGH const * const cctkGH,
+ gh<dim> const & hh,
+ gh<dim>::rexts & bbsss,
+ gh<dim>::rbnds & obss,
+ gh<dim>::rprocs & pss)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ assert (refinement_levels >= 1);
+
+ assert (bbsss.size() >= 1);
+
+
+
+ const int vi = CCTK_VarIndex (errorvar);
+ assert (vi>=0 && vi<CCTK_NumVars());
+ const int gi = CCTK_GroupIndexFromVarI (vi);
+ assert (gi>=0 && gi<CCTK_NumGroups());
+ const int v1 = CCTK_FirstVarIndexI(gi);
+ assert (v1>=0 && v1<=vi && v1<CCTK_NumVars());
+
+ assert (CCTK_GroupTypeI(gi) == CCTK_GF);
+ assert (CCTK_VarTypeI(vi) == CCTK_VARIABLE_REAL);
+ assert (CCTK_GroupDimI(gi) == dim);
+
+ assert (arrdata.at(gi).at(Carpet::map).data.at(vi-v1));
+ const gf<CCTK_REAL,dim>& errorgf
+ = (*dynamic_cast<const gf<CCTK_REAL,dim>*>
+ (arrdata.at(gi).at(Carpet::map).data.at(vi-v1)));
+
+ assert (! smart_outer_boundaries);
+
+ vector<ibbox> bbs;
+ gh<dim>::cbnds obs;
+ Automatic_OneLevel
+ (cctkGH, hh,
+ reflevel, min(reflevels+1, maxreflevels),
+ minwidth, minfraction, maxerror, errorgf,
+ bbs, obs);
+
+ // make multiprocessor aware
+ gh<dim>::cprocs ps;
+ SplitRegions (cctkGH, bbs, obs, ps);
+
+ // make multigrid aware
+ vector<vector<ibbox> > bbss;
+ MakeMultigridBoxes (cctkGH, bbs, obs, bbss);
+
+
+
+ if (bbss.size() == 0) {
+ // remove all finer levels
+ bbsss.resize(reflevel+1);
+ obss.resize(reflevel+1);
+ pss.resize(reflevel+1);
+ } else {
+ assert (reflevel < (int)bbsss.size());
+ if (reflevel+1 == (int)bbsss.size()) {
+ // add a finer level
+ bbsss.push_back (bbss);
+ obss.push_back (obs);
+ pss.push_back (ps);
+ } else {
+ // change a finer level
+ bbsss.at(reflevel+1) = bbss;
+ obss.at(reflevel+1) = obs;
+ pss.at(reflevel+1) = ps;
+ }
+ }
+
+ return 1;
+ }
+
+
+
+ void Automatic_OneLevel (const cGH * const cctkGH,
+ const gh<dim> & hh,
+ const int rl,
+ const int numrl,
+ const int minwidth,
+ const CCTK_REAL minfraction,
+ const CCTK_REAL maxerror,
+ const gf<CCTK_REAL,dim> & errorgf,
+ vector<ibbox> & bbs,
+ vector<bbvect> & obs)
+ {
+ if (rl+1 >= numrl) return;
+
+ // Arbitrary
+ const int tl = 0;
+ const int ml = 0;
+
+// cout << endl << "MRA: Choosing regions to refine in " << hh.components(rl) << " components" << endl;
+
+ list<ibbox> bbl;
+ for (int c=0; c<hh.components(rl); ++c) {
+ const ibbox region = hh.extents.at(rl).at(c).at(ml);
+ assert (! region.empty());
+
+ const data<CCTK_REAL,dim>& errordata = *errorgf(tl,rl,c,ml);
+
+ Automatic_Recursive (cctkGH, hh, minwidth, minfraction, maxerror,
+ errordata, bbl, region);
+ }
+
+// int numpoints = 0;
+// for (list<ibbox>::const_iterator ibb = bbl.begin(); ibb != bbl.end(); ++ibb) {
+// numpoints += ibb->size();
+// }
+// cout << "MRA: Chose " << bbl.size() << " regions with a total size of " << numpoints << " to refine." << endl << endl;
+
+ // Create bbs from bbl
+ assert (bbs.size() == 0);
+ bbs.reserve (bbl.size());
+ for (list<ibbox>::const_iterator it = bbl.begin();
+ it != bbl.end();
+ ++it) {
+ bbs.push_back (*it);
+ }
+
+ // Remove grid points outside the outer boundary
+ bbvect const obp (false);
+ for (size_t c=0; c<bbs.size(); ++c) {
+ const ivect lb = xpose(obp)[0].ifthen
+ (bbs.at(c).lower(), min (bbs.at(c).lower(), hh.baseextent.lower()));
+ const ivect ub = xpose(obp)[1].ifthen
+ (bbs.at(c).upper(), min (bbs.at(c).upper(), hh.baseextent.upper()));
+ bbs.at(c) = ibbox(lb, ub, bbs.at(c).stride());
+ }
+
+ // Create obs from bbs
+ obs.resize (bbs.size());
+ for (size_t c=0; c<bbs.size(); ++c) {
+ assert (hh.bases.size()>0 && hh.bases.at(0).size()>0);
+ obs.at(c) = zip ((vect<bool,2> (*) (bool, bool)) &vect<bool,2>::make,
+ bbs.at(c).lower() == hh.baseextent.lower(),
+ bbs.at(c).upper() == hh.baseextent.upper());
+ }
+
+ }
+
+
+
+ void Automatic_Recursive (const cGH * const cctkGH,
+ const gh<dim> & hh,
+ const int minwidth,
+ const CCTK_REAL minfraction,
+ const CCTK_REAL maxerror,
+ const data<CCTK_REAL,dim> & errordata,
+ list<ibbox> & bbl,
+ const ibbox & region)
+ {
+ // Just to be sure
+ assert (! region.empty());
+
+ // Count grid points that need to be refined
+ // (this doesn't work yet on multiple processors)
+ assert (CCTK_nProcs(cctkGH)==1);
+ int cnt = 0;
+ {
+ ibbox::iterator it=region.begin();
+ do {
+ if (errordata[*it] > maxerror) ++cnt;
+ ++it;
+ } while (it!=region.end());
+ }
+ const CCTK_REAL fraction = (CCTK_REAL)cnt / region.size();
+ const int width = maxval(region.shape() / region.stride());
+
+ if (cnt == 0) {
+ // Don't refine
+ } else if (width < 2*minwidth || fraction >= minfraction) {
+ // Refine the whole region
+ const ivect lo(region.lower());
+ const ivect up(region.upper());
+ const ivect str(region.stride());
+ bbl.push_back (ibbox(lo,up+str-str/reffact,str/reffact));
+// cout << "MRA: Refining to " << bbl.back() << " size " << bbl.back().size() << " fraction " << fraction << endl;
+ } else {
+ // Split the region and check recursively
+ const int dir = maxloc(region.shape());
+ const ivect lo(region.lower());
+ const ivect up(region.upper());
+ const ivect str(region.stride());
+ ivect lo1(lo), lo2(lo);
+ ivect up1(up), up2(up);
+ const int mgstr = ipow(hh.mgfact, mglevels); // honour multigrid factors
+ const int step = str[dir]*mgstr;
+ lo2[dir] = ((up[dir]+lo[dir])/2/step)*step;
+ up1[dir] = lo2[dir]-str[dir];
+ const ibbox region1(lo1,up1,str);
+ const ibbox region2(lo2,up2,str);
+ assert (region1.is_contained_in(region));
+ assert (region2.is_contained_in(region));
+ assert ((region1 & region2).empty());
+ assert (region1 + region2 == region);
+ list<ibbox> bbl1, bbl2;
+ Automatic_Recursive (cctkGH, hh, minwidth, minfraction, maxerror,
+ errordata, bbl1, region1);
+ Automatic_Recursive (cctkGH, hh, minwidth, minfraction, maxerror,
+ errordata, bbl2, region2);
+ // Combine regions if possible
+ up2 += str-str/reffact;
+ up2[dir] = lo2[dir];
+ const ibbox iface(lo2,up2,str/reffact);
+ Automatic_Recombine (bbl1, bbl2, bbl, iface, dir);
+ }
+
+ }
+
+
+
+ void Automatic_Recombine (list<ibbox> & bbl1,
+ list<ibbox> & bbl2,
+ list<ibbox> & bbl,
+ const ibbox & iface,
+ const int dir)
+ {
+ assert (!iface.empty());
+ assert (iface.lower()[dir] == iface.upper()[dir]);
+
+ const int oldnumboxes = bbl.size() + bbl1.size() + bbl2.size();
+ int numcombinedboxes = 0;
+
+ int oldnumpoints = 0;
+ for (list<ibbox>::const_iterator ibb = bbl.begin(); ibb != bbl.end(); ++ibb) {
+ oldnumpoints += ibb->size();
+ }
+ for (list<ibbox>::const_iterator ibb1 = bbl1.begin(); ibb1 != bbl1.end(); ++ibb1) {
+ oldnumpoints += ibb1->size();
+ }
+ for (list<ibbox>::const_iterator ibb2 = bbl2.begin(); ibb2 != bbl2.end(); ++ibb2) {
+ oldnumpoints += ibb2->size();
+ }
+
+#if 0
+ // remember old bounding boxes
+ bboxset<int,dim> oldboxes;
+ for (list<ibbox>::const_iterator ibb1 = bbl1.begin(); ibb1 != bbl1.end(); ++ibb1) {
+ oldboxes += *ibb1;
+ }
+ for (list<ibbox>::const_iterator ibb2 = bbl2.begin(); ibb2 != bbl2.end(); ++ibb2) {
+ oldboxes += *ibb2;
+ }
+#endif
+#if 0
+ cout << endl;
+ cout << "MakeRegions_Adaptively_Recombine: initial list:" << endl;
+ cout << bbl << endl;
+ cout << "MakeRegions_Adaptively_Recombine: initial list 1:" << endl;
+ cout << bbl1 << endl;
+ cout << "MakeRegions_Adaptively_Recombine: initial list 2:" << endl;
+ cout << bbl2 << endl;
+#endif
+
+ const ivect lo = iface.lower();
+ const ivect up = iface.upper();
+ const ivect str = iface.stride();
+
+ {
+ // prune boxes on the left
+ list<ibbox>::iterator ibb1 = bbl1.begin();
+ while (ibb1 != bbl1.end()) {
+ // is this bbox just to the left of the interface?
+// const ivect lo1 = ibb1->lower();
+ const ivect up1 = ibb1->upper();
+ const ivect str1 = ibb1->stride();
+ assert (up1[dir]+str1[dir] <= lo[dir]);
+ assert (all(str1 == str));
+ if (up1[dir]+str1[dir] < lo[dir]) {
+ // no: forget it
+ bbl.push_back (*ibb1);
+ ibb1 = bbl1.erase(ibb1);
+ continue;
+ }
+ ++ibb1;
+ } // while
+ }
+
+ {
+ // prune boxes on the right
+ list<ibbox>::iterator ibb2 = bbl2.begin();
+ while (ibb2 != bbl2.end()) {
+ // is this bbox just to the right of the interface?
+ const ivect lo2 = ibb2->lower();
+// const ivect up2 = ibb2->upper();
+ const ivect str2 = ibb2->stride();
+ assert (up[dir] <= lo2[dir]);
+ assert (all(str2 == str));
+ if (up[dir] < lo2[dir]) {
+ // no: forget it
+ bbl.push_back (*ibb2);
+ ibb2 = bbl2.erase(ibb2);
+ continue;
+ }
+ ++ibb2;
+ } // while
+ }
+
+ {
+ // walk all boxes on the left
+ list<ibbox>::iterator ibb1 = bbl1.begin();
+ while (ibb1 != bbl1.end()) {
+ ivect lo1 = ibb1->lower();
+ ivect up1 = ibb1->upper();
+ ivect str1 = ibb1->stride();
+ assert (up1[dir]+str1[dir] == lo[dir]);
+ lo1[dir] = lo[dir];
+ up1[dir] = up[dir];
+ const ibbox iface1 (lo1,up1,str1);
+
+ {
+ // walk all boxes on the right
+ list<ibbox>::iterator ibb2 = bbl2.begin();
+ while (ibb2 != bbl2.end()) {
+ ivect lo2 = ibb2->lower();
+ ivect up2 = ibb2->upper();
+ ivect str2 = ibb2->stride();
+ assert (lo2[dir] == up[dir]);
+ lo2[dir] = lo[dir];
+ up2[dir] = up[dir];
+ const ibbox iface2 (lo2,up2,str2);
+
+ // check for a match
+ if (iface1 == iface2) {
+ const ibbox combined (ibb1->lower(), ibb2->upper(), str);
+ bbl.push_back (combined);
+ ibb1 = bbl1.erase(ibb1);
+ ibb2 = bbl2.erase(ibb2);
+ ++numcombinedboxes;
+// cout << "MRA: Combining along " << "xyz"[dir] << " to " << bbl.back() << " size " << bbl.back().size() << endl;
+ goto continue_search;
+ }
+
+ ++ibb2;
+ } // while
+ }
+
+ ++ibb1;
+ continue_search:;
+ } // while
+ }
+
+ bbl.splice (bbl.end(), bbl1);
+ bbl.splice (bbl.end(), bbl2);
+
+ assert (bbl1.empty() && bbl2.empty());
+
+ const int newnumboxes = bbl.size();
+ assert (newnumboxes + numcombinedboxes == oldnumboxes);
+
+ int newnumpoints = 0;
+ for (list<ibbox>::const_iterator ibb = bbl.begin(); ibb != bbl.end(); ++ibb) {
+ newnumpoints += ibb->size();
+ }
+ assert (newnumpoints == oldnumpoints);
+
+#if 0
+ // find new bounding boxes
+ bboxset<int,dim> newboxes;
+ for (list<ibbox>::const_iterator ibb = bbl.begin(); ibb != bbl.end(); ++ibb) {
+ newboxes += *ibb;
+ }
+
+ // Check that they are equal
+ assert (newboxes.size() <= oldboxes.size());
+ assert ((newboxes.size()==0) == (oldboxes.size()==0));
+ assert (oldboxes == newboxes);
+#endif
+#if 0
+ cout << "MakeRegions_Adaptively_Recombine: final list:" << endl;
+ cout << bbl << endl;
+ cout << endl;
+#endif
+ }
+
+} // namespace CarpetRegrid
diff --git a/Carpet/CarpetRegrid/src/baselevel.cc b/Carpet/CarpetRegrid/src/baselevel.cc
new file mode 100644
index 000000000..c380c6844
--- /dev/null
+++ b/Carpet/CarpetRegrid/src/baselevel.cc
@@ -0,0 +1,40 @@
+#include <assert.h>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "gh.hh"
+
+#include "carpet.hh"
+#include "regrid.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetRegrid/src/baselevel.cc,v 1.2 2004/04/18 13:29:43 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetRegrid_baselevel_cc);
+}
+
+
+
+namespace CarpetRegrid {
+
+ using namespace std;
+ using namespace Carpet;
+
+
+
+ int BaseLevel (cGH const * const cctkGH,
+ gh<dim> const & hh,
+ gh<dim>::rexts & bbsss,
+ gh<dim>::rbnds & obss,
+ gh<dim>::rprocs & pss)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ assert (refinement_levels == 1);
+
+ assert (bbsss.size() == 1);
+
+ return 0;
+ }
+
+} // namespace CarpetRegrid
diff --git a/Carpet/CarpetRegrid/src/centre.cc b/Carpet/CarpetRegrid/src/centre.cc
new file mode 100644
index 000000000..7599324ea
--- /dev/null
+++ b/Carpet/CarpetRegrid/src/centre.cc
@@ -0,0 +1,95 @@
+#include <assert.h>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "gh.hh"
+
+#include "carpet.hh"
+#include "regrid.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetRegrid/src/centre.cc,v 1.4 2004/04/28 15:45:25 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetRegrid_centre_cc);
+}
+
+
+
+namespace CarpetRegrid {
+
+ using namespace std;
+ using namespace Carpet;
+
+
+
+ int Centre (cGH const * const cctkGH,
+ gh<dim> const & hh,
+ gh<dim>::rexts & bbsss,
+ gh<dim>::rbnds & obss,
+ gh<dim>::rprocs & pss)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ assert (refinement_levels >= 1);
+
+ // do nothing if the levels already exist
+ if (reflevel == refinement_levels) return 0;
+
+ assert (bbsss.size() >= 1);
+
+ bbsss.resize (refinement_levels);
+ obss.resize (refinement_levels);
+ pss.resize (refinement_levels);
+
+ bvect const symmetric (symmetry_x, symmetry_y, symmetry_z);
+ ivect const zero(0), one(1), two(2);
+
+ ivect rstr = hh.baseextent.stride();
+ ivect rlb = hh.baseextent.lower();
+ ivect rub = hh.baseextent.upper();
+
+ assert (! smart_outer_boundaries);
+
+ for (size_t rl=1; rl<bbsss.size(); ++rl) {
+
+ // save old values
+ ivect const oldrlb = rlb;
+ ivect const oldrub = rub;
+
+ // refined boxes have smaller stride
+ assert (all(rstr%hh.reffact == 0));
+ rstr /= hh.reffact;
+
+ // calculate new extent
+ ivect const quarter = (rub - rlb) / 4 / rstr * rstr;
+ ivect const half = (rub - rlb) / 2 / rstr * rstr;
+ rlb = oldrlb + symmetric.ifthen(zero, quarter);
+ rub = oldrub - symmetric.ifthen(half, quarter);
+ assert (all(rlb >= oldrlb && rub <= oldrub));
+
+ ibbox const bb (rlb, rub, rstr);
+ vector<ibbox> bbs (1);
+ bbs.at(0) = bb;
+
+ bbvect const ob (false);
+ gh<dim>::cbnds obs (1);
+ obs.at(0) = ob;
+
+ // make multiprocessor aware
+ gh<dim>::cprocs ps;
+ SplitRegions (cctkGH, bbs, obs, ps);
+
+ // make multigrid aware
+ vector<vector<ibbox> > bbss;
+ MakeMultigridBoxes (cctkGH, bbs, obs, bbss);
+
+ bbsss.at(rl) = bbss;
+ obss.at(rl) = obs;
+ pss.at(rl) = ps;
+
+ } // for rl
+
+ return 1;
+ }
+
+} // namespace CarpetRegrid
diff --git a/Carpet/CarpetRegrid/src/make.code.defn b/Carpet/CarpetRegrid/src/make.code.defn
new file mode 100644
index 000000000..e48f9956e
--- /dev/null
+++ b/Carpet/CarpetRegrid/src/make.code.defn
@@ -0,0 +1,18 @@
+# Main make.code.defn file for thorn CarpetRegrid
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetRegrid/src/make.code.defn,v 1.4 2004/04/14 22:19:44 schnetter Exp $
+
+# Source files in this directory
+SRCS = automatic.cc \
+ baselevel.cc \
+ centre.cc \
+ manualcoordinatelist.cc \
+ manualcoordinates.cc \
+ manualgridpointlist.cc \
+ manualgridpoints.cc \
+ moving.cc \
+ regrid.cc \
+ paramcheck.cc
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/Carpet/CarpetRegrid/src/manualcoordinatelist.cc b/Carpet/CarpetRegrid/src/manualcoordinatelist.cc
new file mode 100644
index 000000000..10e40ecbd
--- /dev/null
+++ b/Carpet/CarpetRegrid/src/manualcoordinatelist.cc
@@ -0,0 +1,185 @@
+#include <cassert>
+#include <cmath>
+#include <cstring>
+#include <sstream>
+#include <vector>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "gh.hh"
+
+#include "carpet.hh"
+#include "regrid.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetRegrid/src/manualcoordinatelist.cc,v 1.12 2004/08/14 07:42:00 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetRegrid_manualcoordinatelist_cc);
+}
+
+
+
+namespace CarpetRegrid {
+
+ using namespace std;
+ using namespace Carpet;
+
+
+
+ int ManualCoordinateList (cGH const * const cctkGH,
+ gh<dim> const & hh,
+ gh<dim>::rexts & bbsss,
+ gh<dim>::rbnds & obss,
+ gh<dim>::rprocs & pss)
+ {
+ DECLARE_CCTK_PARAMETERS;
+ int ierr;
+
+ assert (refinement_levels >= 1);
+
+ // do nothing if the levels already exist
+ if (reflevel == refinement_levels) return 0;
+
+ assert (bbsss.size() >= 1);
+
+ jjvect nboundaryzones, is_internal, is_staggered, shiftout;
+ ierr = GetBoundarySpecification
+ (2*dim, &nboundaryzones[0][0], &is_internal[0][0],
+ &is_staggered[0][0], &shiftout[0][0]);
+ assert (!ierr);
+ rvect physical_min, physical_max;
+ rvect interior_min, interior_max;
+ rvect exterior_min, exterior_max;
+ rvect base_spacing;
+ ierr = GetDomainSpecification
+ (dim, &physical_min[0], &physical_max[0],
+ &interior_min[0], &interior_max[0],
+ &exterior_min[0], &exterior_max[0], &base_spacing[0]);
+ assert (!ierr);
+
+ bbsss.resize (refinement_levels);
+ obss.resize (refinement_levels);
+ pss.resize (refinement_levels);
+
+ vector<vector<rbbox> > newbbss;
+ if (strcmp(coordinates, "") != 0) {
+ istringstream gp_str(coordinates);
+ try {
+ gp_str >> newbbss;
+ } catch (input_error) {
+ CCTK_WARN (0, "Could not parse parameter \"coordinates\"");
+ }
+ }
+
+ vector<vector<bbvect> > newobss;
+ if (smart_outer_boundaries) {
+ // TODO:
+ // assert (domain_from_coordbase);
+
+ newobss.resize(newbbss.size());
+ for (size_t rl=0; rl<newobss.size(); ++rl) {
+ newobss.at(rl).resize(newbbss.at(rl).size());
+ for (size_t c=0; c<newobss.at(rl).size(); ++c) {
+ for (int d=0; d<dim; ++d) {
+ assert (mglevel==0);
+ rvect const spacing = base_spacing * pow(CCTK_REAL(mgfact), basemglevel) / ipow(reffact, rl+1);
+ ierr = ConvertFromPhysicalBoundary
+ (dim, &physical_min[0], &physical_max[0],
+ &interior_min[0], &interior_max[0],
+ &exterior_min[0], &exterior_max[0], &spacing[0]);
+ assert (!ierr);
+ newobss.at(rl).at(c)[d][0] = abs(newbbss.at(rl).at(c).lower()[d] - physical_min[d]) < 1.0e-6 * spacing[d];
+ if (newobss.at(rl).at(c)[d][0]) {
+ rvect lo = newbbss.at(rl).at(c).lower();
+ rvect up = newbbss.at(rl).at(c).upper();
+ rvect str = newbbss.at(rl).at(c).stride();
+ lo[d] = exterior_min[d];
+ newbbss.at(rl).at(c) = rbbox(lo, up, str);
+ }
+ newobss.at(rl).at(c)[d][1] = abs(newbbss.at(rl).at(c).upper()[d] - physical_max[d]) < 1.0e-6 * base_spacing[d] / ipow(reffact, rl);
+ if (newobss.at(rl).at(c)[d][1]) {
+ rvect lo = newbbss.at(rl).at(c).lower();
+ rvect up = newbbss.at(rl).at(c).upper();
+ rvect str = newbbss.at(rl).at(c).stride();
+ up[d] = exterior_max[d];
+ newbbss.at(rl).at(c) = rbbox(lo, up, str);
+ }
+ }
+ }
+ }
+
+ } else { // if ! smart_outer_boundaries
+
+ if (strcmp(outerbounds, "") !=0 ) {
+ istringstream ob_str (outerbounds);
+ try {
+ ob_str >> newobss;
+ } catch (input_error) {
+ CCTK_WARN (0, "Could not parse parameter \"outerbounds\"");
+ }
+ bool good = newobss.size() == newbbss.size();
+ if (good) {
+ for (size_t rl=0; rl<newobss.size(); ++rl) {
+ good = good && newobss.at(rl).size() == newbbss.at(rl).size();
+ }
+ }
+ if (! good) {
+ cout << "coordinates: " << newbbss << endl;
+ cout << "outerbounds: " << newobss << endl;
+ CCTK_WARN (0, "The parameters \"outerbounds\" and \"coordinates\" must have the same structure");
+ }
+ } else {
+ newobss.resize(newbbss.size());
+ for (size_t rl=0; rl<newobss.size(); ++rl) {
+ newobss.at(rl).resize(newbbss.at(rl).size());
+ for (size_t c=0; c<newobss.at(rl).size(); ++c) {
+ newobss.at(rl).at(c) = bbvect(false);
+ }
+ }
+ }
+
+ } // if ! smart_outer_boundaries
+
+ if (newbbss.size() < refinement_levels-1) {
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "The parameter \"coordinates\" must contain at least \"refinement_levels-1\" (here: %d) levels", int(refinement_levels-1));
+ }
+
+ for (size_t rl=1; rl<refinement_levels; ++rl) {
+
+ vector<ibbox> bbs;
+ gh<dim>::cbnds obs;
+
+ bbs.reserve (newbbss.at(rl-1).size());
+ obs.reserve (newbbss.at(rl-1).size());
+
+ for (size_t c=0; c<newbbss.at(rl-1).size(); ++c) {
+ rbbox const & ext = newbbss.at(rl-1).at(c);
+ bbvect const & ob = newobss.at(rl-1).at(c);
+ // TODO:
+ // assert (domain_from_coordbase);
+ rvect const spacing = base_spacing * pow(CCTK_REAL(mgfact), basemglevel) / ipow(reffact, rl);
+ assert (all(abs(ext.stride() - spacing) < spacing * 1.0e-10));
+ ManualCoordinates_OneLevel
+ (cctkGH, hh, rl, refinement_levels,
+ ext.lower(), ext.upper(), ob, bbs, obs);
+ }
+
+ // make multiprocessor aware
+ gh<dim>::cprocs ps;
+ SplitRegions (cctkGH, bbs, obs, ps);
+
+ // make multigrid aware
+ vector<vector<ibbox> > bbss;
+ MakeMultigridBoxes (cctkGH, bbs, obs, bbss);
+
+ bbsss.at(rl) = bbss;
+ obss.at(rl) = obs;
+ pss.at(rl) = ps;
+
+ } // for rl
+
+ return 1;
+ }
+
+} // namespace CarpetRegrid
diff --git a/Carpet/CarpetRegrid/src/manualcoordinates.cc b/Carpet/CarpetRegrid/src/manualcoordinates.cc
new file mode 100644
index 000000000..91018cf95
--- /dev/null
+++ b/Carpet/CarpetRegrid/src/manualcoordinates.cc
@@ -0,0 +1,166 @@
+#include <assert.h>
+
+#include <vector>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "gh.hh"
+
+#include "carpet.hh"
+#include "regrid.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetRegrid/src/manualcoordinates.cc,v 1.5 2004/04/28 15:45:25 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetRegrid_manualcoordinates_cc);
+}
+
+
+
+namespace CarpetRegrid {
+
+ using namespace std;
+ using namespace Carpet;
+
+
+
+ int ManualCoordinates (cGH const * const cctkGH,
+ gh<dim> const & hh,
+ gh<dim>::rexts & bbsss,
+ gh<dim>::rbnds & obss,
+ gh<dim>::rprocs & pss)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ if (refinement_levels > 4) {
+ CCTK_WARN (0, "Cannot currently specify manual refinement regions for more than 4 refinement levels");
+ }
+ assert (refinement_levels >= 1 && refinement_levels <= 4);
+
+ // do nothing if the levels already exist
+ if (reflevel == refinement_levels) return 0;
+
+ assert (bbsss.size() >= 1);
+
+ bbsss.resize (refinement_levels);
+ obss.resize (refinement_levels);
+ pss.resize (refinement_levels);
+
+ vector<rvect> lower(3), upper(3);
+ lower.at(0) = rvect (l1xmin, l1ymin, l1zmin);
+ upper.at(0) = rvect (l1xmax, l1ymax, l1zmax);
+ lower.at(1) = rvect (l2xmin, l2ymin, l2zmin);
+ upper.at(1) = rvect (l2xmax, l2ymax, l2zmax);
+ lower.at(2) = rvect (l3xmin, l3ymin, l3zmin);
+ upper.at(2) = rvect (l3xmax, l3ymax, l3zmax);
+
+ assert (! smart_outer_boundaries);
+
+ for (size_t rl=1; rl<bbsss.size(); ++rl) {
+
+ bbvect const ob (false);
+
+ vector<ibbox> bbs;
+ gh<dim>::cbnds obs;
+
+ ManualCoordinates_OneLevel
+ (cctkGH, hh, rl, refinement_levels,
+ lower.at(rl-1), upper.at(rl-1), ob, bbs, obs);
+
+ // make multiprocessor aware
+ gh<dim>::cprocs ps;
+ SplitRegions (cctkGH, bbs, obs, ps);
+
+ // make multigrid aware
+ vector<vector<ibbox> > bbss;
+ MakeMultigridBoxes (cctkGH, bbs, obs, bbss);
+
+ bbsss.at(rl) = bbss;
+ obss.at(rl) = obs;
+ pss.at(rl) = ps;
+
+ } // for rl
+
+ return 1;
+ }
+
+
+
+ void ManualCoordinates_OneLevel (const cGH * const cctkGH,
+ const gh<dim> & hh,
+ const int rl,
+ const int numrl,
+ const rvect lower,
+ const rvect upper,
+ const bbvect obound,
+ vector<ibbox> & bbs,
+ vector<bbvect> & obs)
+ {
+ if (rl >= numrl) return;
+
+ jvect const ilower = pos2int (cctkGH, hh, lower, rl);
+ jvect const iupper = pos2int (cctkGH, hh, upper, rl);
+
+ ManualGridpoints_OneLevel
+ (cctkGH, hh, rl, numrl, ilower, iupper, obound, bbs, obs);
+ }
+
+
+
+ ivect delta2int (const cGH * const cctkGH, const gh<dim>& hh,
+ const rvect & rpos, const int rl)
+ {
+ rvect global_lower, global_upper;
+ for (int d=0; d<dim; ++d) {
+ const int ierr = CCTK_CoordRange
+ (cctkGH, &global_lower[d], &global_upper[d], d+1, 0, "cart3d");
+ if (ierr<0) {
+ global_lower[d] = 0;
+ global_upper[d] = 1;
+ }
+ }
+ const ivect global_extent (hh.baseextent.upper() - hh.baseextent.lower());
+
+ const rvect scale = rvect(global_extent) / (global_upper - global_lower);
+ const int levfac = ipow(hh.reffact, rl);
+ assert (all (hh.baseextent.stride() % levfac == 0));
+ const ivect istride = hh.baseextent.stride() / levfac;
+
+ const ivect ipos
+ = ivect(floor(rpos * scale / rvect(istride) + 0.5)) * istride;
+
+ const rvect apos = rpos * scale;
+ assert (all(abs(apos - rvect(ipos)) < rvect(istride)*0.01));
+
+ return ipos;
+ }
+
+
+
+ ivect pos2int (const cGH* const cctkGH, const gh<dim>& hh,
+ const rvect & rpos, const int rl)
+ {
+ rvect global_lower, global_upper;
+ for (int d=0; d<dim; ++d) {
+ const int ierr = CCTK_CoordRange
+ (cctkGH, &global_lower[d], &global_upper[d], d+1, 0, "cart3d");
+ if (ierr<0) {
+ global_lower[d] = 0;
+ global_upper[d] = 1;
+ }
+ }
+ const ivect global_extent (hh.baseextent.upper() - hh.baseextent.lower());
+
+ const rvect scale = rvect(global_extent) / (global_upper - global_lower);
+ const int levfac = ipow(hh.reffact, rl);
+ assert (all (hh.baseextent.stride() % levfac == 0));
+ const ivect istride = hh.baseextent.stride() / levfac;
+
+ const ivect ipos
+ = (ivect(floor((rpos - global_lower) * scale / rvect(istride) + 0.5))
+ * istride);
+
+ return ipos;
+ }
+
+} // namespace CarpetRegrid
diff --git a/Carpet/CarpetRegrid/src/manualgridpointlist.cc b/Carpet/CarpetRegrid/src/manualgridpointlist.cc
new file mode 100644
index 000000000..e53866e6c
--- /dev/null
+++ b/Carpet/CarpetRegrid/src/manualgridpointlist.cc
@@ -0,0 +1,125 @@
+#include <assert.h>
+#include <string.h>
+
+#include <sstream>
+#include <vector>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "gh.hh"
+
+#include "carpet.hh"
+#include "regrid.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetRegrid/src/manualgridpointlist.cc,v 1.4 2004/07/02 10:14:51 tradke Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetRegrid_manualgridpointlist_cc);
+}
+
+
+
+namespace CarpetRegrid {
+
+ using namespace std;
+ using namespace Carpet;
+
+
+
+ int ManualGridpointList (cGH const * const cctkGH,
+ gh<dim> const & hh,
+ gh<dim>::rexts & bbsss,
+ gh<dim>::rbnds & obss,
+ gh<dim>::rprocs & pss)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ assert (refinement_levels >= 1);
+
+ // do nothing if the levels already exist
+ if (reflevel == refinement_levels) return 0;
+
+ assert (bbsss.size() >= 1);
+
+ bbsss.resize (refinement_levels);
+ obss.resize (refinement_levels);
+ pss.resize (refinement_levels);
+
+ vector<vector<ibbox> > newbbss;
+ if (strcmp(gridpoints, "") != 0) {
+ istringstream gp_str(gridpoints);
+ try {
+ gp_str >> newbbss;
+ } catch (input_error) {
+ CCTK_WARN (0, "Could not parse parameter \"gridpoints\"");
+ }
+ }
+
+ vector<vector<bbvect> > newobss;
+ if (strcmp(outerbounds, "") !=0 ) {
+ istringstream ob_str (outerbounds);
+ try {
+ ob_str >> newobss;
+ } catch (input_error) {
+ CCTK_WARN (0, "Could not parse parameter \"outerbounds\"");
+ }
+ bool good = newobss.size() == newbbss.size();
+ if (good) {
+ for (size_t rl=0; rl<newobss.size(); ++rl) {
+ good = good && newobss.at(rl).size() == newbbss.at(rl).size();
+ }
+ }
+ if (! good) {
+ cout << "gridpoints: " << newbbss << endl;
+ cout << "outerbounds: " << newobss << endl;
+ CCTK_WARN (0, "The parameters \"outerbounds\" and \"gridpoints\" must have the same structure");
+ }
+ } else {
+ newobss.resize(newbbss.size());
+ for (size_t rl=0; rl<newobss.size(); ++rl) {
+ newobss.at(rl).resize(newbbss.at(rl).size());
+ for (size_t c=0; c<newobss.at(rl).size(); ++c) {
+ newobss.at(rl).at(c) = bbvect(false);
+ }
+ }
+ }
+
+ if (newbbss.size() < refinement_levels-1) {
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "The parameter \"gridpoints\" must contain at least \"refinement_levels-1\" (here: %d) levels", (int)refinement_levels-1);
+ }
+
+ for (size_t rl=1; rl<refinement_levels; ++rl) {
+
+ vector<ibbox> bbs;
+ gh<dim>::cbnds obs;
+
+ bbs.reserve (newbbss.at(rl-1).size());
+ obs.reserve (newbbss.at(rl-1).size());
+
+ for (size_t c=0; c<newbbss.at(rl-1).size(); ++c) {
+ ibbox const & ext = newbbss.at(rl-1).at(c);
+ bbvect const & ob = newobss.at(rl-1).at(c);
+ ManualGridpoints_OneLevel
+ (cctkGH, hh, rl, refinement_levels,
+ ext.lower(), ext.upper(), ob, bbs, obs);
+ }
+
+ // make multiprocessor aware
+ gh<dim>::cprocs ps;
+ SplitRegions (cctkGH, bbs, obs, ps);
+
+ // make multigrid aware
+ vector<vector<ibbox> > bbss;
+ MakeMultigridBoxes (cctkGH, bbs, obs, bbss);
+
+ bbsss.at(rl) = bbss;
+ obss.at(rl) = obs;
+ pss.at(rl) = ps;
+
+ } // for rl
+
+ return 1;
+ }
+
+} // namespace CarpetRegrid
diff --git a/Carpet/CarpetRegrid/src/manualgridpoints.cc b/Carpet/CarpetRegrid/src/manualgridpoints.cc
new file mode 100644
index 000000000..2a8bedb5e
--- /dev/null
+++ b/Carpet/CarpetRegrid/src/manualgridpoints.cc
@@ -0,0 +1,131 @@
+#include <assert.h>
+
+#include <sstream>
+#include <vector>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "gh.hh"
+
+#include "carpet.hh"
+#include "regrid.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetRegrid/src/manualgridpoints.cc,v 1.5 2004/07/02 10:14:51 tradke Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetRegrid_manualgridpoints_cc);
+}
+
+
+
+namespace CarpetRegrid {
+
+ using namespace std;
+ using namespace Carpet;
+
+
+
+ int ManualGridpoints (cGH const * const cctkGH,
+ gh<dim> const & hh,
+ gh<dim>::rexts & bbsss,
+ gh<dim>::rbnds & obss,
+ gh<dim>::rprocs & pss)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ if (refinement_levels > 4) {
+ CCTK_WARN (0, "Cannot currently specify manual refinement regions for more than 4 refinement levels");
+ }
+ assert (refinement_levels >= 1 && refinement_levels <= 4);
+
+ // do nothing if the levels already exist
+ if (reflevel == refinement_levels) return 0;
+
+ assert (bbsss.size() >= 1);
+
+ bbsss.resize (refinement_levels);
+ obss.resize (refinement_levels);
+ pss.resize (refinement_levels);
+
+ vector<ivect> ilower(3), iupper(3);
+ ilower.at(0) = ivect (l1ixmin, l1iymin, l1izmin);
+ iupper.at(0) = ivect (l1ixmax, l1iymax, l1izmax);
+ ilower.at(1) = ivect (l2ixmin, l2iymin, l2izmin);
+ iupper.at(1) = ivect (l2ixmax, l2iymax, l2izmax);
+ ilower.at(2) = ivect (l3ixmin, l3iymin, l3izmin);
+ iupper.at(2) = ivect (l3ixmax, l3iymax, l3izmax);
+
+ assert (! smart_outer_boundaries);
+
+ for (size_t rl=1; rl<bbsss.size(); ++rl) {
+
+ bbvect const ob (false);
+
+ vector<ibbox> bbs;
+ gh<dim>::cbnds obs;
+
+ ManualGridpoints_OneLevel
+ (cctkGH, hh, rl,refinement_levels,
+ ilower.at(rl-1), iupper.at(rl-1), ob, bbs, obs);
+
+ // make multiprocessor aware
+ gh<dim>::cprocs ps;
+ SplitRegions (cctkGH, bbs, obs, ps);
+
+ // make multigrid aware
+ vector<vector<ibbox> > bbss;
+ MakeMultigridBoxes (cctkGH, bbs, obs, bbss);
+
+ bbsss.at(rl) = bbss;
+ obss.at(rl) = obs;
+ pss.at(rl) = ps;
+
+ } // for rl
+
+ return 1;
+ }
+
+
+
+ void ManualGridpoints_OneLevel (const cGH * const cctkGH,
+ const gh<dim> & hh,
+ const int rl,
+ const int numrl,
+ const ivect ilower,
+ const ivect iupper,
+ const bbvect obound,
+ vector<ibbox> & bbs,
+ vector<bbvect> & obs)
+ {
+ const ivect rstr = hh.baseextent.stride();
+ const ivect rlb = hh.baseextent.lower();
+ const ivect rub = hh.baseextent.upper();
+
+ const int levfac = ipow(hh.reffact, rl);
+ assert (all (rstr % levfac == 0));
+ const ivect str (rstr / levfac);
+ const ivect lb (ilower);
+ const ivect ub (iupper);
+ if (! all(lb>=rlb && ub<=rub)) {
+ ostringstream buf;
+ buf << "The refinement region boundaries for refinement level #" << rl << " are not within the main grid. Allowed are the grid point boundaries " << rlb << " - " << rub << "; specified were " << lb << " - " << ub << ends;
+ CCTK_WARN (0, buf.str().c_str());
+ }
+ if (! all(lb<=ub)) {
+ ostringstream buf;
+ buf << "The refinement region boundaries for refinement level #" << rl << " have the upper boundary (" << ub << ") less than the lower boundary (" << lb << ")" << ends;
+ CCTK_WARN (0, buf.str().c_str());
+ }
+ if (! all(lb%str==0 && ub%str==0)) {
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "The refinement region boundaries for refinement level #%d are not a multiple of the stride for that level", rl);
+ }
+ assert (all(lb>=rlb && ub<=rub));
+ assert (all(lb<=ub));
+ assert (all(lb%str==0 && ub%str==0));
+
+ bbs.push_back (ibbox(lb, ub, str));
+ obs.push_back (obound);
+ }
+
+} // namespace CarpetRegrid
diff --git a/Carpet/CarpetRegrid/src/moving.cc b/Carpet/CarpetRegrid/src/moving.cc
new file mode 100644
index 000000000..5e5287b86
--- /dev/null
+++ b/Carpet/CarpetRegrid/src/moving.cc
@@ -0,0 +1,84 @@
+#include <cassert>
+#include <cmath>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "gh.hh"
+
+#include "carpet.hh"
+#include "regrid.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetRegrid/src/moving.cc,v 1.5 2004/08/02 11:42:20 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetRegrid_moving_cc);
+}
+
+
+
+namespace CarpetRegrid {
+
+ using namespace std;
+ using namespace Carpet;
+
+
+
+ int Moving (cGH const * const cctkGH,
+ gh<dim> const & hh,
+ gh<dim>::rexts & bbsss,
+ gh<dim>::rbnds & obss,
+ gh<dim>::rprocs & pss)
+ {
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ assert (refinement_levels >= 1);
+
+ assert (bbsss.size() >= 1);
+
+ bbsss.resize (refinement_levels);
+ obss.resize (refinement_levels);
+ pss.resize (refinement_levels);
+
+ bvect const symmetric (symmetry_x, symmetry_y, symmetry_z);
+ bbvect const ob (false);
+
+ assert (! smart_outer_boundaries);
+
+ for (size_t rl=1; rl<bbsss.size(); ++rl) {
+
+ // calculate new extent
+ CCTK_REAL const argument = 2*M_PI * moving_circle_frequency * cctk_time;
+ rvect const pos
+ (moving_centre_x + moving_circle_radius * cos(argument),
+ moving_centre_y + moving_circle_radius * sin(argument),
+ moving_centre_z);
+ CCTK_REAL const radius = moving_region_radius / ipow(reffact, rl-1);
+
+ rvect const rlb (symmetric.ifthen (rvect(0), pos - rvect(radius)));
+ rvect const rub (symmetric.ifthen (rvect(radius), pos + rvect(radius)));
+
+ vector<ibbox> bbs;
+ gh<dim>::cbnds obs;
+
+ ManualCoordinates_OneLevel
+ (cctkGH, hh, rl, refinement_levels, rlb, rub, ob, bbs, obs);
+
+ // make multiprocessor aware
+ gh<dim>::cprocs ps;
+ SplitRegions (cctkGH, bbs, obs, ps);
+
+ // make multigrid aware
+ vector<vector<ibbox> > bbss;
+ MakeMultigridBoxes (cctkGH, bbs, obs, bbss);
+
+ bbsss.at(rl) = bbss;
+ obss.at(rl) = obs;
+ pss.at(rl) = ps;
+
+ } // for rl
+
+ return 1;
+ }
+
+} // namespace CarpetRegrid
diff --git a/Carpet/CarpetRegrid/src/paramcheck.cc b/Carpet/CarpetRegrid/src/paramcheck.cc
new file mode 100644
index 000000000..7d85bee1e
--- /dev/null
+++ b/Carpet/CarpetRegrid/src/paramcheck.cc
@@ -0,0 +1,47 @@
+#include <assert.h>
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+
+#include "carpet.hh"
+#include "regrid.hh"
+
+static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetRegrid/src/paramcheck.cc,v 1.3 2004/08/02 11:42:36 schnetter Exp $";
+
+CCTK_FILEVERSION(CarpetRegrid_paramcheck_cc)
+
+namespace CarpetRegrid {
+
+ using namespace std;
+ using namespace Carpet;
+
+ int CarpetRegridParamcheck (CCTK_ARGUMENTS)
+ {
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ if (refinement_levels > maxreflevels) {
+ CCTK_PARAMWARN ("The parameter CarpetRegrid::refinement_levels is larger than Carpet::max_refinement_levels");
+ }
+
+ if (smart_outer_boundaries) {
+ int type;
+ const CCTK_INT * const domain_from_coordbase
+ = (const CCTK_INT *) CCTK_ParameterGet ("domain_from_coordbase", "Carpet", &type);
+ assert (domain_from_coordbase);
+ assert (type == PARAMETER_BOOLEAN);
+ if (! *domain_from_coordbase) {
+ CCTK_PARAMWARN ("The parameter CarpetRegrid::smart_outer_boundaries can only be used when Carpet::domain_from_coordbase=yes");
+ }
+ if (CCTK_Equals(refined_regions, "manual-coordinate-list")) {
+ // do nothing
+ } else {
+ CCTK_PARAMWARN ("The parameter CarpetRegrid::smart_outer_boundaries can currently only be used when CarpetRegrid::refined_regions is set to \"manual-coordinate-list\"");
+ }
+ }
+
+ return 0;
+ }
+
+}
diff --git a/Carpet/CarpetRegrid/src/regrid.cc b/Carpet/CarpetRegrid/src/regrid.cc
new file mode 100644
index 000000000..9ce688bdb
--- /dev/null
+++ b/Carpet/CarpetRegrid/src/regrid.cc
@@ -0,0 +1,199 @@
+#include <assert.h>
+
+#include <sstream>
+#include <string>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "gh.hh"
+#include "vect.hh"
+
+#include "carpet.hh"
+#include "regrid.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetRegrid/src/regrid.cc,v 1.48 2004/06/02 07:36:19 bzink Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetRegrid_regrid_cc);
+}
+
+
+
+namespace CarpetRegrid {
+
+ using namespace std;
+ using namespace Carpet;
+
+ CCTK_INT CarpetRegrid_Regrid (CCTK_POINTER_TO_CONST const cctkGH_,
+ CCTK_POINTER const bbsss_,
+ CCTK_POINTER const obss_,
+ CCTK_POINTER const pss_,
+ CCTK_INT force)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ const cGH * const cctkGH = (const cGH *) cctkGH_;
+
+ gh<dim>::rexts & bbsss = * (gh<dim>::rexts *) bbsss_;
+ gh<dim>::rbnds & obss = * (gh<dim>::rbnds *) obss_;
+ gh<dim>::rprocs & pss = * (gh<dim>::rprocs *) pss_;
+
+ gh<dim> const & hh = *vhh.at(Carpet::map);
+
+ assert (is_singlemap_mode());
+
+ // In force mode (force == true) we do not check the
+ // CarpetRegrid parameters
+
+ if (!force) {
+
+ assert (regrid_every == -1 || regrid_every == 0
+ || regrid_every % maxmglevelfact == 0);
+
+ // Return if no regridding is desired
+ if (regrid_every == -1) return 0;
+
+ // Return if we want to regrid during initial data only, and this
+ // is not the time for initial data
+ if (regrid_every == 0 && cctkGH->cctk_iteration != 0) return 0;
+
+ // Return if we want to regrid regularly, but not at this time
+ if (regrid_every > 0 && cctkGH->cctk_iteration != 0
+ && (cctkGH->cctk_iteration-1) % regrid_every != 0)
+ {
+ return 0;
+ }
+
+ // Steer parameters
+ const int oldnumlevels = refinement_levels;
+ if (CCTK_EQUALS(activate_levels_on_regrid, "none")) {
+
+ // do nothing
+
+ } else if (CCTK_EQUALS(activate_levels_on_regrid, "fixed")) {
+
+ if (cctkGH->cctk_iteration-1 >= activate_next) {
+ const int newnumlevels
+ = min(refinement_levels + num_new_levels, maxreflevels);
+ assert (newnumlevels>0 && newnumlevels<=maxreflevels);
+
+ *const_cast<CCTK_INT*>(&activate_next) = cctkGH->cctk_iteration;
+ ostringstream next;
+ next << activate_next;
+ CCTK_ParameterSet
+ ("activate_next", "CarpetRegrid", next.str().c_str());
+
+ *const_cast<CCTK_INT*>(&refinement_levels) = newnumlevels;
+ ostringstream param;
+ param << refinement_levels;
+ CCTK_ParameterSet
+ ("refinement_levels", "CarpetRegrid", param.str().c_str());
+
+ if (verbose) {
+ ostringstream buf1, buf2;
+ buf1 << "Activating " << newnumlevels - oldnumlevels << " new refinement levels";
+ buf2 << "There are now " << newnumlevels << " refinement levels";
+ CCTK_INFO (buf1.str().c_str());
+ CCTK_INFO (buf2.str().c_str());
+ }
+ }
+
+ } else if (CCTK_EQUALS(activate_levels_on_regrid, "function")) {
+
+ if (! CCTK_IsFunctionAliased("RegridLevel")) {
+ CCTK_WARN (0, "No thorn has provided the function \"RegridLevel\"");
+ }
+ const int newnumlevels
+ = RegridLevel (cctkGH, refinement_levels, maxreflevels);
+ if (newnumlevels>0 && newnumlevels<=maxreflevels) {
+
+ *const_cast<CCTK_INT*>(&refinement_levels) = newnumlevels;
+ ostringstream param;
+ param << refinement_levels;
+ CCTK_ParameterSet
+ ("refinement_levels", "CarpetRegrid", param.str().c_str());
+
+ if (verbose) {
+ ostringstream buf1, buf2;
+ buf1 << "Activating " << newnumlevels - oldnumlevels << " new refinement levels";
+ buf2 << "There are now " << newnumlevels << " refinement levels";
+ CCTK_INFO (buf1.str().c_str());
+ CCTK_INFO (buf2.str().c_str());
+ }
+
+ } else {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "The aliased function \"RegridLevel\" returned an illegal number of refinement levels (%d). No levels will be activated or deactivated.", newnumlevels);
+ }
+
+ } else {
+
+ assert (0);
+
+ }
+
+
+
+ // Return if this is not during initial data generation, and if no
+ // change in the grid structure is desired
+ if (cctkGH->cctk_iteration != 0) {
+ if (keep_same_grid_structure && refinement_levels == oldnumlevels) return 0;
+ }
+
+ } else {
+
+ // If force is active, steer activate_next to current iteration
+
+ ostringstream next;
+ next << cctkGH->cctk_iteration;
+ CCTK_ParameterSet
+ ("activate_next", "CarpetRegrid", next.str().c_str());
+
+ } // if (!force)
+
+ int do_recompose;
+
+ if (CCTK_EQUALS(refined_regions, "none")) {
+
+ do_recompose = BaseLevel (cctkGH, hh, bbsss, obss, pss);
+
+ } else if (CCTK_EQUALS(refined_regions, "centre")) {
+
+ do_recompose = Centre (cctkGH, hh, bbsss, obss, pss);
+
+ } else if (CCTK_EQUALS(refined_regions, "manual-gridpoints")) {
+
+ do_recompose
+ = ManualGridpoints (cctkGH, hh, bbsss, obss, pss);
+
+ } else if (CCTK_EQUALS(refined_regions, "manual-coordinates")) {
+
+ do_recompose
+ = ManualCoordinates (cctkGH, hh, bbsss, obss, pss);
+
+ } else if (CCTK_EQUALS(refined_regions, "manual-gridpoint-list")) {
+
+ do_recompose
+ = ManualGridpointList (cctkGH, hh, bbsss, obss, pss);
+
+ } else if (CCTK_EQUALS(refined_regions, "manual-coordinate-list")) {
+
+ do_recompose
+ = ManualCoordinateList (cctkGH, hh, bbsss, obss, pss);
+
+ } else if (CCTK_EQUALS(refined_regions, "moving")) {
+
+ do_recompose = Moving (cctkGH, hh, bbsss, obss, pss);
+
+ } else if (CCTK_EQUALS(refined_regions, "automatic")) {
+
+ do_recompose = Automatic (cctkGH, hh, bbsss, obss, pss);
+
+ } else {
+ assert (0);
+ }
+
+ return do_recompose;
+ }
+
+} // namespace CarpetRegrid
diff --git a/Carpet/CarpetRegrid/src/regrid.h b/Carpet/CarpetRegrid/src/regrid.h
new file mode 100644
index 000000000..a3db486f2
--- /dev/null
+++ b/Carpet/CarpetRegrid/src/regrid.h
@@ -0,0 +1,22 @@
+/* $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetRegrid/src/regrid.h,v 1.1 2002/09/01 14:52:29 schnetter Exp $ */
+
+#ifndef CARPETREGRID_H
+#define CARPETREGRID_H
+
+#include "cctk_Arguments.h"
+
+#ifdef __cplusplus
+namespace CarpetRegrid {
+ extern "C" {
+#endif
+
+ /* Scheduled functions */
+ int CarpetRegridStartup ();
+ int CarpetRegridParamcheck (CCTK_ARGUMENTS);
+
+#ifdef __cplusplus
+ } /* extern "C" */
+} /* namespace CarpetRegrid */
+#endif
+
+#endif /* !defined(CARPETREGRID_H) */
diff --git a/Carpet/CarpetRegrid/src/regrid.hh b/Carpet/CarpetRegrid/src/regrid.hh
new file mode 100644
index 000000000..62baf284a
--- /dev/null
+++ b/Carpet/CarpetRegrid/src/regrid.hh
@@ -0,0 +1,151 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetRegrid/src/regrid.hh,v 1.14 2004/06/02 07:08:52 bzink Exp $
+
+#ifndef CARPETREGRID_HH
+#define CARPETREGRID_HH
+
+#include <list>
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+
+#include "bbox.hh"
+#include "gf.hh"
+#include "gh.hh"
+#include "vect.hh"
+
+#include "carpet.hh"
+
+
+
+namespace CarpetRegrid {
+
+ using namespace std;
+ using namespace Carpet;
+
+
+
+ extern "C" {
+
+ /* Scheduled functions */
+ int CarpetRegridParamcheck (CCTK_ARGUMENTS);
+
+ /* Aliased functions */
+// CCTK_INT CarpetRegrid_Regrid (const cGH * const cctkGH,
+// gh<dim>::rexts * bbsss,
+// gh<dim>::rbnds * obss,
+// gh<dim>::rprocs * pss);
+ CCTK_INT CarpetRegrid_Regrid (CCTK_POINTER_TO_CONST const cctkGH_,
+ CCTK_POINTER const bbsss_,
+ CCTK_POINTER const obss_,
+ CCTK_POINTER const pss_,
+ CCTK_INT force);
+ }
+
+
+
+ int BaseLevel (cGH const * const cctkGH,
+ gh<dim> const & hh,
+ gh<dim>::rexts & bbsss,
+ gh<dim>::rbnds & obss,
+ gh<dim>::rprocs & pss);
+
+ int Centre (cGH const * const cctkGH,
+ gh<dim> const & hh,
+ gh<dim>::rexts & bbsss,
+ gh<dim>::rbnds & obss,
+ gh<dim>::rprocs & pss);
+
+ int ManualGridpoints (cGH const * const cctkGH,
+ gh<dim> const & hh,
+ gh<dim>::rexts & bbsss,
+ gh<dim>::rbnds & obss,
+ gh<dim>::rprocs & pss);
+
+ void ManualGridpoints_OneLevel (const cGH * const cctkGH,
+ const gh<dim> & hh,
+ const int rl,
+ const int numrl,
+ const ivect ilower,
+ const ivect iupper,
+ const bbvect obound,
+ vector<ibbox> & bbs,
+ vector<bbvect> & obs);
+
+ int ManualCoordinates (cGH const * const cctkGH,
+ gh<dim> const & hh,
+ gh<dim>::rexts & bbsss,
+ gh<dim>::rbnds & obss,
+ gh<dim>::rprocs & pss);
+
+ void ManualCoordinates_OneLevel (const cGH * const cctkGH,
+ const gh<dim> & hh,
+ const int rl,
+ const int numrl,
+ const rvect lower,
+ const rvect upper,
+ const bbvect obound,
+ vector<ibbox> & bbs,
+ vector<bbvect> & obs);
+
+ ivect delta2int (const cGH * const cctkGH,
+ const gh<dim>& hh,
+ const rvect & rpos,
+ const int rl);
+ ivect pos2int (const cGH* const cctkGH,
+ const gh<dim>& hh,
+ const rvect & rpos,
+ const int rl);
+
+ int ManualGridpointList (cGH const * const cctkGH,
+ gh<dim> const & hh,
+ gh<dim>::rexts & bbsss,
+ gh<dim>::rbnds & obss,
+ gh<dim>::rprocs & pss);
+
+ int ManualCoordinateList (cGH const * const cctkGH,
+ gh<dim> const & hh,
+ gh<dim>::rexts & bbsss,
+ gh<dim>::rbnds & obss,
+ gh<dim>::rprocs & pss);
+
+ int Moving (cGH const * const cctkGH,
+ gh<dim> const & hh,
+ gh<dim>::rexts & bbsss,
+ gh<dim>::rbnds & obss,
+ gh<dim>::rprocs & pss);
+
+ int Automatic (cGH const * const cctkGH,
+ gh<dim> const & hh,
+ gh<dim>::rexts & bbsss,
+ gh<dim>::rbnds & obss,
+ gh<dim>::rprocs & pss);
+
+ void Automatic_OneLevel (const cGH * const cctkGH,
+ const gh<dim> & hh,
+ const int rl,
+ const int numrl,
+ const int minwidth,
+ const CCTK_REAL minfraction,
+ const CCTK_REAL maxerror,
+ const gf<CCTK_REAL,dim> & errorvar,
+ vector<ibbox> & bbs,
+ vector<bbvect> & obs);
+
+ void Automatic_Recursive (const cGH * const cctkGH,
+ const gh<dim> & hh,
+ const int minwidth,
+ const CCTK_REAL minfraction,
+ const CCTK_REAL maxerror,
+ const data<CCTK_REAL,dim> & errorvar,
+ list<ibbox> & bbl,
+ const ibbox & region);
+
+ void Automatic_Recombine (list<ibbox> & bbl1,
+ list<ibbox> & bbl2,
+ list<ibbox> & bbl,
+ const ibbox & iface,
+ const int dir);
+
+} // namespace CarpetRegrid
+
+#endif // !defined(CARPETREGRID_HH)
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet.par b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet.par
new file mode 100644
index 000000000..d458ffcf5
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet.par
@@ -0,0 +1,67 @@
+
+!DESC "1+log sliced black hole, ADM_BSSN, Iterative CN, Carpet with 2 levels"
+
+# Required thorns
+
+ActiveThorns = "CoordBase SymBase time carpet carpetlib carpetregrid carpetreduce carpetslab boundary cartgrid3d bssn_mol mol nanchecker idanalyticbh carpetioascii ioutil iobasic admcoupling admbase admmacros coordgauge spacemask staticconformal"
+
+# Grid
+
+driver::global_nx = 21
+driver::global_ny = 21
+driver::global_nz = 21
+
+driver::ghost_size_x = 2
+driver::ghost_size_y = 2
+driver::ghost_size_z = 2
+
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+
+Carpet::init_each_timelevel = yes
+Carpet::buffer_width = 1
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::regrid_every = 0
+
+grid::type = "byspacing"
+grid::dxyz = 0.2
+grid::domain = "octant"
+
+cactus::cctk_initial_time = 0.0
+cactus::cctk_itlast = 20
+
+time::dtfac = 0.25
+
+# Initial data
+
+admbase::metric_type = "static conformal"
+admbase::initial_data = "schwarzschild"
+
+# Evolution
+
+admbase::evolution_method = "adm_bssn"
+
+MoL::ODE_Method = "ICN"
+MoL::MoL_Intermediate_Steps = 3
+
+adm_bssn::bound = "flat"
+
+# Gauge
+
+admbase::lapse_evolution_method = "1+log"
+
+# Output
+
+IO::out_fileinfo="none"
+IO::out_dir = $parfile
+
+IOBasic::outInfo_every = 1
+IOBasic::outInfo_vars = "admbase::gxx"
+
+IOBasic::outScalar_every = 8
+IOBasic::outScalar_vars = "adm_bssn::adm_bs_gxx adm_bssn::adm_bs_Axx adm_bssn::adm_bs_phi adm_bssn::adm_bs_k adm_bssn::adm_bs_Gx admbase::gxx admbase::kxx admbase::alp"
+
+##################################################################
+
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Axx_maximum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Axx_maximum.xg
new file mode 100644
index 000000000..c2a4fb5ff
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Axx_maximum.xg
@@ -0,0 +1,4 @@
+"ADM_BS_Axx v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0030338694509
+0.2000000000000 0.0060622352107
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Axx_minimum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Axx_minimum.xg
new file mode 100644
index 000000000..ce83b0645
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Axx_minimum.xg
@@ -0,0 +1,4 @@
+"ADM_BS_Axx v time
+0.0000000000000 0.0000000000000
+0.1000000000000 -0.0060529928018
+0.2000000000000 -0.0121310076465
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Axx_norm1.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Axx_norm1.xg
new file mode 100644
index 000000000..2d0fee2c6
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Axx_norm1.xg
@@ -0,0 +1,4 @@
+"ADM_BS_Axx v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0009803939393
+0.2000000000000 0.0019621419182
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Axx_norm2.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Axx_norm2.xg
new file mode 100644
index 000000000..b89fca18c
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Axx_norm2.xg
@@ -0,0 +1,4 @@
+"ADM_BS_Axx v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0013481685692
+0.2000000000000 0.0026987690896
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Gx_maximum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Gx_maximum.xg
new file mode 100644
index 000000000..7b115780d
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Gx_maximum.xg
@@ -0,0 +1,4 @@
+"ADM_BS_Gx v time
+0.0000000000000 -0.0000000000000
+0.1000000000000 0.0033315455549
+0.2000000000000 0.0133183502151
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Gx_minimum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Gx_minimum.xg
new file mode 100644
index 000000000..63a00bbe9
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Gx_minimum.xg
@@ -0,0 +1,4 @@
+"ADM_BS_Gx v time
+0.0000000000000 -0.0000000000000
+0.1000000000000 -0.0032152437614
+0.2000000000000 -0.0128558956690
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Gx_norm1.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Gx_norm1.xg
new file mode 100644
index 000000000..c8b4c5097
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Gx_norm1.xg
@@ -0,0 +1,4 @@
+"ADM_BS_Gx v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0001185890010
+0.2000000000000 0.0004743721288
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Gx_norm2.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Gx_norm2.xg
new file mode 100644
index 000000000..fcdbe7cfa
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_Gx_norm2.xg
@@ -0,0 +1,4 @@
+"ADM_BS_Gx v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0003240266895
+0.2000000000000 0.0012956294505
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_K_maximum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_K_maximum.xg
new file mode 100644
index 000000000..543140ad4
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_K_maximum.xg
@@ -0,0 +1,4 @@
+"ADM_BS_K v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0000018310130
+0.2000000000000 0.0000153786963
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_K_minimum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_K_minimum.xg
new file mode 100644
index 000000000..ef54a97a0
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_K_minimum.xg
@@ -0,0 +1,4 @@
+"ADM_BS_K v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0000000243182
+0.2000000000000 0.0000002074587
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_K_norm1.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_K_norm1.xg
new file mode 100644
index 000000000..148d874a0
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_K_norm1.xg
@@ -0,0 +1,4 @@
+"ADM_BS_K v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0000003689860
+0.2000000000000 0.0000030925075
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_K_norm2.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_K_norm2.xg
new file mode 100644
index 000000000..cc4076af8
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_K_norm2.xg
@@ -0,0 +1,4 @@
+"ADM_BS_K v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0000005585168
+0.2000000000000 0.0000046841913
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_gxx_maximum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_gxx_maximum.xg
new file mode 100644
index 000000000..00f95a496
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_gxx_maximum.xg
@@ -0,0 +1,4 @@
+"ADM_BS_gxx v time
+0.0000000000000 1.0000000000000
+0.1000000000000 1.0006051005074
+0.2000000000000 1.0024229394652
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_gxx_minimum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_gxx_minimum.xg
new file mode 100644
index 000000000..a385fa370
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_gxx_minimum.xg
@@ -0,0 +1,4 @@
+"ADM_BS_gxx v time
+0.0000000000000 1.0000000000000
+0.1000000000000 0.9996965617401
+0.2000000000000 0.9987867828343
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_gxx_norm1.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_gxx_norm1.xg
new file mode 100644
index 000000000..80ef03d6d
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_gxx_norm1.xg
@@ -0,0 +1,4 @@
+"ADM_BS_gxx v time
+0.0000000000000 1.0000000000000
+0.1000000000000 1.0000000196020
+0.2000000000000 1.0000003138176
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_gxx_norm2.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_gxx_norm2.xg
new file mode 100644
index 000000000..22ef0940f
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_gxx_norm2.xg
@@ -0,0 +1,4 @@
+"ADM_BS_gxx v time
+0.0000000000000 1.0000000000000
+0.1000000000000 1.0000000286872
+0.2000000000000 1.0000004593159
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_phi_maximum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_phi_maximum.xg
new file mode 100644
index 000000000..aed7943b5
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_phi_maximum.xg
@@ -0,0 +1,4 @@
+"ADM_BS_phi v time
+0.0000000000000 0.0000000000000
+0.1000000000000 -0.0000000001213
+0.2000000000000 -0.0000000017987
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_phi_minimum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_phi_minimum.xg
new file mode 100644
index 000000000..e42573e40
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_phi_minimum.xg
@@ -0,0 +1,4 @@
+"ADM_BS_phi v time
+0.0000000000000 0.0000000000000
+0.1000000000000 -0.0000000091545
+0.2000000000000 -0.0000001342591
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_phi_norm1.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_phi_norm1.xg
new file mode 100644
index 000000000..fb253f572
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_phi_norm1.xg
@@ -0,0 +1,4 @@
+"ADM_BS_phi v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0000000018256
+0.2000000000000 0.0000000269160
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_phi_norm2.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_phi_norm2.xg
new file mode 100644
index 000000000..8764b5c0e
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/ADM_BS_phi_norm2.xg
@@ -0,0 +1,4 @@
+"ADM_BS_phi v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0000000027762
+0.2000000000000 0.0000000408272
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/alp_maximum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/alp_maximum.xg
new file mode 100644
index 000000000..9eea94bda
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/alp_maximum.xg
@@ -0,0 +1,4 @@
+"alp v time
+0.0000000000000 1.0000000000000
+0.1000000000000 0.9999999992724
+0.2000000000000 0.9999999892075
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/alp_minimum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/alp_minimum.xg
new file mode 100644
index 000000000..2a5de9b88
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/alp_minimum.xg
@@ -0,0 +1,4 @@
+"alp v time
+0.0000000000000 1.0000000000000
+0.1000000000000 0.9999999450728
+0.2000000000000 0.9999991944452
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/alp_norm1.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/alp_norm1.xg
new file mode 100644
index 000000000..ef617703b
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/alp_norm1.xg
@@ -0,0 +1,4 @@
+"alp v time
+0.0000000000000 1.0000000000000
+0.1000000000000 0.9999999890467
+0.2000000000000 0.9999998385042
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/alp_norm2.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/alp_norm2.xg
new file mode 100644
index 000000000..ef617703b
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/alp_norm2.xg
@@ -0,0 +1,4 @@
+"alp v time
+0.0000000000000 1.0000000000000
+0.1000000000000 0.9999999890467
+0.2000000000000 0.9999998385042
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/gxx_maximum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/gxx_maximum.xg
new file mode 100644
index 000000000..5bd7cd17c
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/gxx_maximum.xg
@@ -0,0 +1,4 @@
+"gxx v time
+0.0000000000000 1.0000000000000
+0.1000000000000 1.0006050644492
+0.2000000000000 1.0024224096583
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/gxx_minimum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/gxx_minimum.xg
new file mode 100644
index 000000000..e24d54c6e
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/gxx_minimum.xg
@@ -0,0 +1,4 @@
+"gxx v time
+0.0000000000000 1.0000000000000
+0.1000000000000 0.9996965251946
+0.2000000000000 0.9987862473501
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/gxx_norm1.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/gxx_norm1.xg
new file mode 100644
index 000000000..64b9df55d
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/gxx_norm1.xg
@@ -0,0 +1,4 @@
+"gxx v time
+0.0000000000000 1.0000000000000
+0.1000000000000 1.0000000122998
+0.2000000000000 1.0000002061536
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/gxx_norm2.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/gxx_norm2.xg
new file mode 100644
index 000000000..66ec4ecbf
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/gxx_norm2.xg
@@ -0,0 +1,4 @@
+"gxx v time
+0.0000000000000 1.0000000000000
+0.1000000000000 1.0000000213850
+0.2000000000000 1.0000003516519
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/kxx_maximum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/kxx_maximum.xg
new file mode 100644
index 000000000..e02bb3010
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/kxx_maximum.xg
@@ -0,0 +1,4 @@
+"kxx v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.2472763257790
+0.2000000000000 0.4943619684565
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/kxx_minimum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/kxx_minimum.xg
new file mode 100644
index 000000000..9de1144c6
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/kxx_minimum.xg
@@ -0,0 +1,4 @@
+"kxx v time
+0.0000000000000 0.0000000000000
+0.1000000000000 -0.4947361974339
+0.2000000000000 -0.9901591159322
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/kxx_norm1.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/kxx_norm1.xg
new file mode 100644
index 000000000..142f838eb
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/kxx_norm1.xg
@@ -0,0 +1,4 @@
+"kxx v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0066692216722
+0.2000000000000 0.0133472407976
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/kxx_norm2.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/kxx_norm2.xg
new file mode 100644
index 000000000..688bca690
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet/kxx_norm2.xg
@@ -0,0 +1,4 @@
+"kxx v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0244501122104
+0.2000000000000 0.0489269454334
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep.par b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep.par
new file mode 100644
index 000000000..8fd7b38b6
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep.par
@@ -0,0 +1,68 @@
+
+!DESC "1+log sliced black hole, ADM_BSSN, Iterative CN, Carpet with 2 levels"
+
+# Required thorns
+
+ActiveThorns = "CoordBase SymBase time carpet carpetlib carpetregrid carpetreduce carpetslab boundary cartgrid3d bssn_mol mol nanchecker idanalyticbh carpetioascii ioutil iobasic admcoupling admbase admmacros coordgauge spacemask staticconformal"
+
+# Grid
+
+driver::global_nx = 21
+driver::global_ny = 21
+driver::global_nz = 21
+
+driver::ghost_size_x = 2
+driver::ghost_size_y = 2
+driver::ghost_size_z = 2
+
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+
+Carpet::init_each_timelevel = yes
+Carpet::buffer_width = 1
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::regrid_every = 0
+CarpetRegrid::keep_same_grid_structure = yes
+
+grid::type = "byspacing"
+grid::dxyz = 0.2
+grid::domain = "octant"
+
+cactus::cctk_initial_time = 0.0
+cactus::cctk_itlast = 20
+
+time::dtfac = 0.25
+
+# Initial data
+
+admbase::metric_type = "static conformal"
+admbase::initial_data = "schwarzschild"
+
+# Evolution
+
+admbase::evolution_method = "adm_bssn"
+
+MoL::ODE_Method = "ICN"
+MoL::MoL_Intermediate_Steps = 3
+
+adm_bssn::bound = "flat"
+
+# Gauge
+
+admbase::lapse_evolution_method = "1+log"
+
+# Output
+
+IO::out_fileinfo="none"
+IO::out_dir = $parfile
+
+IOBasic::outInfo_every = 1
+IOBasic::outInfo_vars = "admbase::gxx"
+
+IOBasic::outScalar_every = 8
+IOBasic::outScalar_vars = "adm_bssn::adm_bs_gxx adm_bssn::adm_bs_Axx adm_bssn::adm_bs_phi adm_bssn::adm_bs_k adm_bssn::adm_bs_Gx admbase::gxx admbase::kxx admbase::alp"
+
+##################################################################
+
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Axx_maximum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Axx_maximum.xg
new file mode 100644
index 000000000..c2a4fb5ff
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Axx_maximum.xg
@@ -0,0 +1,4 @@
+"ADM_BS_Axx v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0030338694509
+0.2000000000000 0.0060622352107
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Axx_minimum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Axx_minimum.xg
new file mode 100644
index 000000000..ce83b0645
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Axx_minimum.xg
@@ -0,0 +1,4 @@
+"ADM_BS_Axx v time
+0.0000000000000 0.0000000000000
+0.1000000000000 -0.0060529928018
+0.2000000000000 -0.0121310076465
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Axx_norm1.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Axx_norm1.xg
new file mode 100644
index 000000000..2d0fee2c6
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Axx_norm1.xg
@@ -0,0 +1,4 @@
+"ADM_BS_Axx v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0009803939393
+0.2000000000000 0.0019621419182
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Axx_norm2.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Axx_norm2.xg
new file mode 100644
index 000000000..b89fca18c
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Axx_norm2.xg
@@ -0,0 +1,4 @@
+"ADM_BS_Axx v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0013481685692
+0.2000000000000 0.0026987690896
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Gx_maximum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Gx_maximum.xg
new file mode 100644
index 000000000..7b115780d
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Gx_maximum.xg
@@ -0,0 +1,4 @@
+"ADM_BS_Gx v time
+0.0000000000000 -0.0000000000000
+0.1000000000000 0.0033315455549
+0.2000000000000 0.0133183502151
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Gx_minimum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Gx_minimum.xg
new file mode 100644
index 000000000..63a00bbe9
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Gx_minimum.xg
@@ -0,0 +1,4 @@
+"ADM_BS_Gx v time
+0.0000000000000 -0.0000000000000
+0.1000000000000 -0.0032152437614
+0.2000000000000 -0.0128558956690
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Gx_norm1.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Gx_norm1.xg
new file mode 100644
index 000000000..c8b4c5097
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Gx_norm1.xg
@@ -0,0 +1,4 @@
+"ADM_BS_Gx v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0001185890010
+0.2000000000000 0.0004743721288
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Gx_norm2.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Gx_norm2.xg
new file mode 100644
index 000000000..fcdbe7cfa
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_Gx_norm2.xg
@@ -0,0 +1,4 @@
+"ADM_BS_Gx v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0003240266895
+0.2000000000000 0.0012956294505
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_K_maximum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_K_maximum.xg
new file mode 100644
index 000000000..543140ad4
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_K_maximum.xg
@@ -0,0 +1,4 @@
+"ADM_BS_K v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0000018310130
+0.2000000000000 0.0000153786963
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_K_minimum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_K_minimum.xg
new file mode 100644
index 000000000..ef54a97a0
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_K_minimum.xg
@@ -0,0 +1,4 @@
+"ADM_BS_K v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0000000243182
+0.2000000000000 0.0000002074587
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_K_norm1.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_K_norm1.xg
new file mode 100644
index 000000000..148d874a0
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_K_norm1.xg
@@ -0,0 +1,4 @@
+"ADM_BS_K v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0000003689860
+0.2000000000000 0.0000030925075
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_K_norm2.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_K_norm2.xg
new file mode 100644
index 000000000..cc4076af8
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_K_norm2.xg
@@ -0,0 +1,4 @@
+"ADM_BS_K v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0000005585168
+0.2000000000000 0.0000046841913
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_gxx_maximum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_gxx_maximum.xg
new file mode 100644
index 000000000..00f95a496
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_gxx_maximum.xg
@@ -0,0 +1,4 @@
+"ADM_BS_gxx v time
+0.0000000000000 1.0000000000000
+0.1000000000000 1.0006051005074
+0.2000000000000 1.0024229394652
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_gxx_minimum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_gxx_minimum.xg
new file mode 100644
index 000000000..a385fa370
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_gxx_minimum.xg
@@ -0,0 +1,4 @@
+"ADM_BS_gxx v time
+0.0000000000000 1.0000000000000
+0.1000000000000 0.9996965617401
+0.2000000000000 0.9987867828343
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_gxx_norm1.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_gxx_norm1.xg
new file mode 100644
index 000000000..80ef03d6d
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_gxx_norm1.xg
@@ -0,0 +1,4 @@
+"ADM_BS_gxx v time
+0.0000000000000 1.0000000000000
+0.1000000000000 1.0000000196020
+0.2000000000000 1.0000003138176
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_gxx_norm2.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_gxx_norm2.xg
new file mode 100644
index 000000000..22ef0940f
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_gxx_norm2.xg
@@ -0,0 +1,4 @@
+"ADM_BS_gxx v time
+0.0000000000000 1.0000000000000
+0.1000000000000 1.0000000286872
+0.2000000000000 1.0000004593159
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_phi_maximum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_phi_maximum.xg
new file mode 100644
index 000000000..aed7943b5
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_phi_maximum.xg
@@ -0,0 +1,4 @@
+"ADM_BS_phi v time
+0.0000000000000 0.0000000000000
+0.1000000000000 -0.0000000001213
+0.2000000000000 -0.0000000017987
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_phi_minimum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_phi_minimum.xg
new file mode 100644
index 000000000..e42573e40
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_phi_minimum.xg
@@ -0,0 +1,4 @@
+"ADM_BS_phi v time
+0.0000000000000 0.0000000000000
+0.1000000000000 -0.0000000091545
+0.2000000000000 -0.0000001342591
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_phi_norm1.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_phi_norm1.xg
new file mode 100644
index 000000000..fb253f572
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_phi_norm1.xg
@@ -0,0 +1,4 @@
+"ADM_BS_phi v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0000000018256
+0.2000000000000 0.0000000269160
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_phi_norm2.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_phi_norm2.xg
new file mode 100644
index 000000000..8764b5c0e
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/ADM_BS_phi_norm2.xg
@@ -0,0 +1,4 @@
+"ADM_BS_phi v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0000000027762
+0.2000000000000 0.0000000408272
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/alp_maximum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/alp_maximum.xg
new file mode 100644
index 000000000..9eea94bda
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/alp_maximum.xg
@@ -0,0 +1,4 @@
+"alp v time
+0.0000000000000 1.0000000000000
+0.1000000000000 0.9999999992724
+0.2000000000000 0.9999999892075
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/alp_minimum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/alp_minimum.xg
new file mode 100644
index 000000000..2a5de9b88
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/alp_minimum.xg
@@ -0,0 +1,4 @@
+"alp v time
+0.0000000000000 1.0000000000000
+0.1000000000000 0.9999999450728
+0.2000000000000 0.9999991944452
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/alp_norm1.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/alp_norm1.xg
new file mode 100644
index 000000000..ef617703b
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/alp_norm1.xg
@@ -0,0 +1,4 @@
+"alp v time
+0.0000000000000 1.0000000000000
+0.1000000000000 0.9999999890467
+0.2000000000000 0.9999998385042
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/alp_norm2.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/alp_norm2.xg
new file mode 100644
index 000000000..ef617703b
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/alp_norm2.xg
@@ -0,0 +1,4 @@
+"alp v time
+0.0000000000000 1.0000000000000
+0.1000000000000 0.9999999890467
+0.2000000000000 0.9999998385042
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/gxx_maximum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/gxx_maximum.xg
new file mode 100644
index 000000000..5bd7cd17c
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/gxx_maximum.xg
@@ -0,0 +1,4 @@
+"gxx v time
+0.0000000000000 1.0000000000000
+0.1000000000000 1.0006050644492
+0.2000000000000 1.0024224096583
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/gxx_minimum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/gxx_minimum.xg
new file mode 100644
index 000000000..e24d54c6e
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/gxx_minimum.xg
@@ -0,0 +1,4 @@
+"gxx v time
+0.0000000000000 1.0000000000000
+0.1000000000000 0.9996965251946
+0.2000000000000 0.9987862473501
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/gxx_norm1.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/gxx_norm1.xg
new file mode 100644
index 000000000..64b9df55d
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/gxx_norm1.xg
@@ -0,0 +1,4 @@
+"gxx v time
+0.0000000000000 1.0000000000000
+0.1000000000000 1.0000000122998
+0.2000000000000 1.0000002061536
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/gxx_norm2.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/gxx_norm2.xg
new file mode 100644
index 000000000..66ec4ecbf
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/gxx_norm2.xg
@@ -0,0 +1,4 @@
+"gxx v time
+0.0000000000000 1.0000000000000
+0.1000000000000 1.0000000213850
+0.2000000000000 1.0000003516519
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/kxx_maximum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/kxx_maximum.xg
new file mode 100644
index 000000000..e02bb3010
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/kxx_maximum.xg
@@ -0,0 +1,4 @@
+"kxx v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.2472763257790
+0.2000000000000 0.4943619684565
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/kxx_minimum.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/kxx_minimum.xg
new file mode 100644
index 000000000..9de1144c6
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/kxx_minimum.xg
@@ -0,0 +1,4 @@
+"kxx v time
+0.0000000000000 0.0000000000000
+0.1000000000000 -0.4947361974339
+0.2000000000000 -0.9901591159322
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/kxx_norm1.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/kxx_norm1.xg
new file mode 100644
index 000000000..142f838eb
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/kxx_norm1.xg
@@ -0,0 +1,4 @@
+"kxx v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0066692216722
+0.2000000000000 0.0133472407976
diff --git a/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/kxx_norm2.xg b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/kxx_norm2.xg
new file mode 100644
index 000000000..688bca690
--- /dev/null
+++ b/Carpet/CarpetRegrid/test/test_BSSN_MoL_Carpet_keep/kxx_norm2.xg
@@ -0,0 +1,4 @@
+"kxx v time
+0.0000000000000 0.0000000000000
+0.1000000000000 0.0244501122104
+0.2000000000000 0.0489269454334
diff --git a/Carpet/CarpetSlab/COPYING b/Carpet/CarpetSlab/COPYING
new file mode 100644
index 000000000..1942c4334
--- /dev/null
+++ b/Carpet/CarpetSlab/COPYING
@@ -0,0 +1,341 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 59 Temple Place - Suite 330
+ Boston, MA 02111-1307, USA.
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
+
+ The licenses for most software are designed to take away your
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+Foundation's software and to any other program whose authors commit to
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+make exceptions for this. Our decision will be guided by the two goals
+of preserving the free status of all derivatives of our free software and
+of promoting the sharing and reuse of software generally.
+
+ NO WARRANTY
+
+ 11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
+FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN
+OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
+PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED
+OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS
+TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE
+PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING,
+REPAIR OR CORRECTION.
+
+ 12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
+REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,
+INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING
+OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED
+TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
+YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
+PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
+POSSIBILITY OF SUCH DAMAGES.
+
+ END OF TERMS AND CONDITIONS
+
+ How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+ To do so, attach the following notices to the program. It is safest
+to attach them to the start of each source file to most effectively
+convey the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+ <one line to give the program's name and a brief idea of what it does.>
+ Copyright (C) 19yy <name of author>
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation; either version 2 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program; see the file COPYING. If not, write to
+ the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA.
+
+Also add information on how to contact you by electronic and paper mail.
+
+If the program is interactive, make it output a short notice like this
+when it starts in an interactive mode:
+
+ Gnomovision version 69, Copyright (C) 19yy name of author
+ Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+ This is free software, and you are welcome to redistribute it
+ under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License. Of course, the commands you use may
+be called something other than `show w' and `show c'; they could even be
+mouse-clicks or menu items--whatever suits your program.
+
+You should also get your employer (if you work as a programmer) or your
+school, if any, to sign a "copyright disclaimer" for the program, if
+necessary. Here is a sample; alter the names:
+
+ Yoyodyne, Inc., hereby disclaims all copyright interest in the program
+ `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+ <signature of Ty Coon>, 1 April 1989
+ Ty Coon, President of Vice
+
+This General Public License does not permit incorporating your program into
+proprietary programs. If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library. If this is what you want to do, use the GNU Library General
+Public License instead of this License.
diff --git a/Carpet/CarpetSlab/README b/Carpet/CarpetSlab/README
new file mode 100644
index 000000000..ea6ac8893
--- /dev/null
+++ b/Carpet/CarpetSlab/README
@@ -0,0 +1,8 @@
+Cactus Code Thorn CarpetSlab
+Authors : Erik Schnetter <schnetter@uni-tuebingen.de>
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetSlab/README,v 1.2 2004/01/25 14:57:30 schnetter Exp $
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+This thorn provides hyperslabbing for Carpet.
diff --git a/Carpet/CarpetSlab/configuration.ccl b/Carpet/CarpetSlab/configuration.ccl
new file mode 100644
index 000000000..8ff27ef27
--- /dev/null
+++ b/Carpet/CarpetSlab/configuration.ccl
@@ -0,0 +1,6 @@
+# Configuration definitions for thorn CarpetSlab
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetSlab/configuration.ccl,v 1.5 2004/06/08 21:09:25 schnetter Exp $
+
+REQUIRES Carpet CarpetLib
+
+REQUIRES THORNS: Carpet CarpetLib
diff --git a/Carpet/CarpetSlab/interface.ccl b/Carpet/CarpetSlab/interface.ccl
new file mode 100644
index 000000000..78a5743da
--- /dev/null
+++ b/Carpet/CarpetSlab/interface.ccl
@@ -0,0 +1,97 @@
+# Interface definition for thorn CarpetSlab
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetSlab/interface.ccl,v 1.12 2004/06/08 21:09:25 schnetter Exp $
+
+IMPLEMENTS: Hyperslab
+
+includes header: slab.h in Hyperslab.h
+
+uses include header: carpet.hh
+
+uses include header: bbox.hh
+uses include header: bboxset.hh
+uses include header: vect.hh
+
+uses include header: gdata.hh
+
+uses include header: dh.hh
+uses include header: ggf.hh
+uses include header: gh.hh
+
+
+
+CCTK_INT FUNCTION \
+ Hyperslab_Get (CCTK_POINTER_TO_CONST IN cctkGH, \
+ CCTK_INT IN mapping_handle, \
+ CCTK_INT IN proc, \
+ CCTK_INT IN vindex, \
+ CCTK_INT IN timelevel, \
+ CCTK_INT IN hdatatype, \
+ CCTK_POINTER IN hdata)
+
+CCTK_INT FUNCTION \
+ Hyperslab_GetList (CCTK_POINTER_TO_CONST IN cctkGH, \
+ CCTK_INT IN mapping_handle, \
+ CCTK_INT IN num_arrays, \
+ CCTK_INT ARRAY IN procs, \
+ CCTK_INT ARRAY IN vindices, \
+ CCTK_INT ARRAY IN timelevels, \
+ CCTK_INT ARRAY IN hdatatypes, \
+ CCTK_POINTER ARRAY IN hdata, \
+ CCTK_INT ARRAY OUT retvals)
+
+#CCTK_INT FUNCTION \
+# Hyperslab_LocalMappingByIndex (CCTK_POINTER_TO_CONST IN cctkGH, \
+# CCTK_INT IN vindex, \
+# CCTK_INT IN hdim, \
+# CCTK_INT ARRAY IN direction, \
+# CCTK_INT ARRAY IN origin, \
+# CCTK_INT ARRAY IN extent, \
+# CCTK_INT ARRAY IN downsample, \
+# CCTK_INT IN table_handle, \
+# CCTK_INT CCTK_FPOINTER IN \
+# conversion_fn (CCTK_INT IN nelems, \
+# CCTK_INT IN src_stride, \
+# CCTK_INT IN dst_stride, \
+# CCTK_INT IN src_type, \
+# CCTK_INT IN dst_type, \
+# CCTK_POINTER_TO_CONST IN from, \
+# CCTK_POINTER IN to), \
+# CCTK_INT ARRAY OUT hsize_local, \
+# CCTK_INT ARRAY OUT hsize_global, \
+# CCTK_INT ARRAY OUT hoffset_global)
+
+CCTK_INT FUNCTION \
+ Hyperslab_GlobalMappingByIndex (CCTK_POINTER_TO_CONST IN cctkGH, \
+ CCTK_INT IN vindex, \
+ CCTK_INT IN hdim, \
+ CCTK_INT ARRAY IN direction, \
+ CCTK_INT ARRAY IN origin, \
+ CCTK_INT ARRAY IN extent, \
+ CCTK_INT ARRAY IN downsample, \
+ CCTK_INT IN table_handle, \
+ CCTK_INT CCTK_FPOINTER IN \
+ conversion_fn (CCTK_INT IN nelems, \
+ CCTK_INT IN src_stride, \
+ CCTK_INT IN dst_stride, \
+ CCTK_INT IN src_type, \
+ CCTK_INT IN dst_type, \
+ CCTK_POINTER_TO_CONST IN from, \
+ CCTK_POINTER IN to), \
+ CCTK_INT ARRAY OUT hsize)
+
+CCTK_INT FUNCTION Hyperslab_FreeMapping (CCTK_INT IN mapping_handle)
+
+
+
+PROVIDES FUNCTION Hyperslab_Get \
+ WITH CarpetSlab_Get LANGUAGE C
+PROVIDES FUNCTION Hyperslab_GetList \
+ WITH CarpetSlab_GetList LANGUAGE C
+PROVIDES FUNCTION Hyperslab_Get \
+ WITH CarpetSlab_Fill LANGUAGE C
+PROVIDES FUNCTION Hyperslab_GlobalMappingByIndex \
+ WITH CarpetSlab_GlobalMappingByIndex LANGUAGE C
+#PROVIDES FUNCTION Hyperslab_LocalMappingByIndex \
+# WITH CarpetSlab_LocalMappingByIndex LANGUAGE C
+PROVIDES FUNCTION Hyperslab_FreeMapping \
+ WITH CarpetSlab_FreeMapping LANGUAGE C
diff --git a/Carpet/CarpetSlab/param.ccl b/Carpet/CarpetSlab/param.ccl
new file mode 100644
index 000000000..e4ace55bb
--- /dev/null
+++ b/Carpet/CarpetSlab/param.ccl
@@ -0,0 +1,2 @@
+# Parameter definitions for thorn CarpetSlab
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetSlab/param.ccl,v 1.1 2001/03/01 13:40:10 eschnett Exp $
diff --git a/Carpet/CarpetSlab/schedule.ccl b/Carpet/CarpetSlab/schedule.ccl
new file mode 100644
index 000000000..9aeffc07f
--- /dev/null
+++ b/Carpet/CarpetSlab/schedule.ccl
@@ -0,0 +1,2 @@
+# Schedule definitions for thorn CarpetSlab
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetSlab/schedule.ccl,v 1.2 2003/11/05 16:18:39 schnetter Exp $
diff --git a/Carpet/CarpetSlab/src/make.code.defn b/Carpet/CarpetSlab/src/make.code.defn
new file mode 100644
index 000000000..880ebcffc
--- /dev/null
+++ b/Carpet/CarpetSlab/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn CarpetSlab -*-Makefile-*-
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetSlab/src/make.code.defn,v 1.2 2002/10/24 10:53:48 schnetter Exp $
+
+# Source files in this directory
+SRCS = slab.cc
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/Carpet/CarpetSlab/src/slab.cc b/Carpet/CarpetSlab/src/slab.cc
new file mode 100644
index 000000000..f734aafb9
--- /dev/null
+++ b/Carpet/CarpetSlab/src/slab.cc
@@ -0,0 +1,880 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetSlab/src/slab.cc,v 1.20 2004/08/19 06:35:36 schnetter Exp $
+
+#include <assert.h>
+#include <stdlib.h>
+#include <string.h>
+
+#include <vector>
+
+#include "cctk.h"
+
+#include "util_Table.h"
+
+#include "bbox.hh"
+#include "bboxset.hh"
+#include "dh.hh"
+#include "gdata.hh"
+#include "gh.hh"
+#include "ggf.hh"
+#include "vect.hh"
+
+#include "carpet.hh"
+
+#include "slab.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetSlab/src/slab.cc,v 1.20 2004/08/19 06:35:36 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetSlab_slab_cc);
+}
+
+
+
+namespace CarpetSlab {
+
+ using namespace Carpet;
+
+
+
+ // Mapping object
+ // (just store the mapping)
+ struct mapping {
+ int vindex;
+ int hdim;
+ vector<int> origin; // [vdim]
+ vector<int> dirs; // [hdim]
+ vector<int> stride; // [hdim]
+ vector<int> length; // [hdim]
+ };
+
+
+
+ int
+ StoreMapping (mapping * const mp)
+ {
+ int const table = Util_TableCreate (UTIL_TABLE_FLAGS_DEFAULT);
+ assert (table>=0);
+ int const ierr = Util_TableSetPointer (table, mp, "mapping");
+ assert (ierr>=0);
+ return table;
+ }
+
+ mapping *
+ RetrieveMapping (int const table)
+ {
+ CCTK_POINTER mp;
+ int const ierr = Util_TableGetPointer (table, &mp, "mapping");
+ assert (ierr>=0);
+ return (mapping *)mp;
+ }
+
+ void
+ DeleteMapping (int const table)
+ {
+ int const ierr = Util_TableDestroy (table);
+ assert (ierr>=0);
+ }
+
+
+
+ void
+ FillSlab (const cGH* const cgh,
+ const int dest_proc,
+ const int n,
+ const int ti,
+ const int hdim,
+ const int origin[/*vdim*/],
+ const int dirs[/*hdim*/],
+ const int stride[/*hdim*/],
+ const int length[/*hdim*/],
+ void* const hdata)
+ {
+ int ierr;
+
+ // Check Cactus grid hierarchy
+ assert (cgh);
+
+ // Check destination processor
+ assert (dest_proc>=-1 && dest_proc<CCTK_nProcs(cgh));
+
+ // Check variable index
+ assert (n>=0 && n<CCTK_NumVars());
+
+ // Get info about variable
+ const int group = CCTK_GroupIndexFromVarI(n);
+ assert (group>=0);
+ const int n0 = CCTK_FirstVarIndexI(group);
+ assert (n0>=0);
+ const int var = n - n0;
+ assert (var>=0);
+
+ // Get info about group
+ cGroup gp;
+ ierr = CCTK_GroupData (group, &gp);
+ assert (! ierr);
+ assert (gp.dim<=dim);
+ assert (CCTK_QueryGroupStorageI(cgh, group));
+ const int typesize = CCTK_VarTypeSize(gp.vartype);
+ assert (typesize>0);
+
+ if (gp.grouptype==CCTK_GF && reflevel==-1) {
+ CCTK_WARN (0, "It is not possible to use hyperslabbing for a grid function in meta mode or global mode (use singlemap mode instead)");
+ }
+ const int rl = gp.grouptype==CCTK_GF ? reflevel : 0;
+
+ if (gp.grouptype==CCTK_GF && Carpet::map==-1 && maps>1) {
+ CCTK_WARN (0, "It is not possible to use hyperslabbing for a grid function in level mode when there are multiple maps (use singlemap mode instead, or make sure that there is only one map)");
+ }
+ const int m = gp.grouptype==CCTK_GF ? Carpet::map : 0;
+ const int oldmap = Carpet::map;
+ if (gp.grouptype==CCTK_GF && oldmap==-1) {
+ enter_singlemap_mode(const_cast<cGH*>(cgh), m);
+ }
+
+ // Check dimension
+ assert (hdim>=0 && hdim<=gp.dim);
+
+ // Get more info about group
+ cGroupDynamicData gd;
+ ierr = CCTK_GroupDynamicData (cgh, group, &gd);
+ assert (! ierr);
+ const vect<int,dim> sizes = vect<int,dim>::ref(gd.gsh);
+ for (int d=0; d<dim; ++d) {
+ assert (sizes[d] >= 0);
+ }
+
+ // Check timelevel
+ const int num_tl = gp.numtimelevels;
+ assert (ti>=0 && ti<num_tl);
+ const int tl = -ti;
+
+ // Check origin
+ for (int d=0; d<dim; ++d) {
+ assert (origin[d]>=0 && origin[d]<=sizes[d]);
+ }
+
+ // Check directions
+ for (int dd=0; dd<hdim; ++dd) {
+ assert (dirs[dd]>=1 && dirs[dd]<=dim);
+ }
+
+ // Check stride
+ for (int dd=0; dd<hdim; ++dd) {
+ assert (stride[dd]>0);
+ }
+
+ // Check length
+ for (int dd=0; dd<hdim; ++dd) {
+ assert (length[dd]>=0);
+ }
+
+ // Check extent
+ for (int dd=0; dd<hdim; ++dd) {
+ assert (origin[dirs[dd]-1] + length[dd] <= sizes[dirs[dd]]);
+ }
+
+ // Get insider information about variable
+ const gh<dim>* myhh;
+ const dh<dim>* mydd;
+ const ggf<dim>* myff;
+ assert (group < (int)arrdata.size());
+ myhh = arrdata.at(group).at(m).hh;
+ assert (myhh);
+ mydd = arrdata.at(group).at(m).dd;
+ assert (mydd);
+ assert (var < (int)arrdata.at(group).at(m).data.size());
+ myff = arrdata.at(group).at(m).data.at(var);
+ assert (myff);
+
+ // Detemine collecting processor
+ const int collect_proc = dest_proc<0 ? 0 : dest_proc;
+
+ // Determine own rank
+ const int rank = CCTK_MyProc(cgh);
+
+ // Calculate global size
+ int totalsize = 1;
+ for (int dd=0; dd<hdim; ++dd) {
+ totalsize *= length[dd];
+ }
+
+ // Allocate memory
+ assert (hdata);
+ if (dest_proc==-1 || rank==dest_proc) {
+ memset (hdata, 0, totalsize * typesize);
+ }
+
+ // Get sample data
+ const gdata<dim>* mydata;
+ mydata = (*myff)(tl, rl, 0, 0);
+
+ // Stride of data in memory
+ const vect<int,dim> str = mydata->extent().stride();
+
+ // Stride of collected data
+ vect<int,dim> hstr = str;
+ for (int dd=0; dd<hdim; ++dd) {
+ hstr[dirs[dd]-1] *= stride[dd];
+ }
+
+ // Lower bound of collected data
+ vect<int,dim> hlb(0);
+ for (int d=0; d<gp.dim; ++d) {
+ hlb[d] = origin[d] * str[d];
+ }
+
+ // Upper bound of collected data
+ vect<int,dim> hub = hlb;
+ for (int dd=0; dd<hdim; ++dd) {
+ hub[dirs[dd]-1] += (length[dd]-1) * hstr[dirs[dd]-1];
+ }
+
+ // Calculate extent to collect
+ const bbox<int,dim> hextent (hlb, hub, hstr);
+ assert (hextent.size() == totalsize);
+
+ // Create collector data object
+ void* myhdata = rank==collect_proc ? hdata : 0;
+ gdata<dim>* const alldata = mydata->make_typed(-1);
+ alldata->allocate (hextent, collect_proc, myhdata);
+
+ // Done with the temporary stuff
+ mydata = 0;
+
+ for (comm_state<dim> state; !state.done(); state.step()) {
+
+ // Loop over all components, copying data from them
+ BEGIN_LOCAL_COMPONENT_LOOP (cgh, gp.grouptype) {
+
+ // Get data object
+ mydata = (*myff)(tl, rl, component, mglevel);
+
+ // Calculate overlapping extents
+ const bboxset<int,dim> myextents
+ = ((mydd->boxes.at(rl).at(component).at(mglevel).sync_not
+ | mydd->boxes.at(rl).at(component).at(mglevel).interior)
+ & hextent);
+
+ // Loop over overlapping extents
+ for (bboxset<int,dim>::const_iterator ext_iter = myextents.begin();
+ ext_iter != myextents.end();
+ ++ext_iter) {
+
+ // Copy data
+ alldata->copy_from (state, mydata, *ext_iter);
+
+ }
+
+ } END_LOCAL_COMPONENT_LOOP;
+
+ } // for step
+
+ // Copy result to all processors
+ if (dest_proc == -1) {
+ vector<gdata<dim>*> tmpdata(CCTK_nProcs(cgh));
+ vector<comm_state<dim> > state;
+
+ for (int proc=0; proc<CCTK_nProcs(cgh); ++proc) {
+ if (proc != collect_proc) {
+ void* myhdata = rank==proc ? hdata : 0;
+ tmpdata.at(proc) = mydata->make_typed(-1);
+ tmpdata.at(proc)->allocate (alldata->extent(), proc, myhdata);
+ tmpdata.at(proc)->copy_from (state.at(proc), alldata, alldata->extent());
+ }
+ }
+
+ for (int proc=0; proc<CCTK_nProcs(cgh); ++proc) {
+ if (proc != collect_proc) {
+ tmpdata.at(proc)->copy_from (state.at(proc), alldata, alldata->extent());
+ }
+ }
+
+ for (int proc=0; proc<CCTK_nProcs(cgh); ++proc) {
+ if (proc != collect_proc) {
+ tmpdata.at(proc)->copy_from (state.at(proc), alldata, alldata->extent());
+ delete tmpdata.at(proc);
+ }
+ }
+
+ } // Copy result
+
+ if (gp.grouptype==CCTK_GF && oldmap==-1) {
+ leave_singlemap_mode(const_cast<cGH*>(cgh));
+ }
+
+ delete alldata;
+ }
+
+
+
+ void *
+ GetSlab (const cGH* const cgh,
+ const int dest_proc,
+ const int n,
+ const int ti,
+ const int hdim,
+ const int origin[/*vdim*/],
+ const int dirs[/*hdim*/],
+ const int stride[/*hdim*/],
+ const int length[/*hdim*/])
+ {
+ // Check Cactus grid hierarchy
+ assert (cgh);
+
+ // Check destination processor
+ assert (dest_proc>=-1 && dest_proc<CCTK_nProcs(cgh));
+
+ // Check variable index
+ assert (n>=0 && n<CCTK_NumVars());
+
+ // Get info about variable
+ const int group = CCTK_GroupIndexFromVarI(n);
+ assert (group>=0);
+ const int n0 = CCTK_FirstVarIndexI(group);
+ assert (n0>=0);
+ const int var = n - n0;
+ assert (var>=0);
+
+ // Get info about group
+ cGroup gp;
+ CCTK_GroupData (group, &gp);
+ assert (gp.dim<=dim);
+ assert (CCTK_QueryGroupStorageI(cgh, group));
+ const int typesize = CCTK_VarTypeSize(gp.vartype);
+ assert (typesize>0);
+
+ if (gp.grouptype==CCTK_GF && reflevel==-1) {
+ CCTK_WARN (0, "It is not possible to use hyperslabbing for a grid function in global mode (use singlemap mode instead)");
+ }
+ const int rl = gp.grouptype==CCTK_GF ? reflevel : 0;
+
+ if (gp.grouptype==CCTK_GF && Carpet::map==-1) {
+ CCTK_WARN (0, "It is not possible to use hyperslabbing for a grid function in level mode (use singlemap mode instead)");
+ }
+ const int m = gp.grouptype==CCTK_GF ? Carpet::map : 0;
+
+ // Check dimension
+ assert (hdim>=0 && hdim<=gp.dim);
+
+ // Check timelevel
+ const int num_tl = gp.numtimelevels;
+ assert (ti>=0 && ti<num_tl);
+ const int tl = -ti;
+
+ // Check origin
+// for (int d=0; d<dim; ++d) {
+// assert (origin[d]>=0 && origin[d]<=sizes[d]);
+// }
+
+ // Check directions
+ for (int dd=0; dd<hdim; ++dd) {
+ assert (dirs[dd]>=1 && dirs[dd]<=dim);
+ }
+
+ // Check stride
+ for (int dd=0; dd<hdim; ++dd) {
+ assert (stride[dd]>0);
+ }
+
+ // Check length
+ for (int dd=0; dd<hdim; ++dd) {
+ assert (length[dd]>=0);
+ }
+
+ // Check extent
+// for (int dd=0; dd<hdim; ++dd) {
+// assert (origin[dirs[dd]-1] + length[dd] <= sizes[dirs[dd]]);
+// }
+
+ // Get insider information about variable
+ const gh<dim>* myhh;
+ const dh<dim>* mydd;
+ const ggf<dim>* myff;
+ assert (group < (int)arrdata.size());
+ myhh = arrdata.at(group).at(m).hh;
+ assert (myhh);
+ mydd = arrdata.at(group).at(m).dd;
+ assert (mydd);
+ assert (var < (int)arrdata.at(group).at(m).data.size());
+ myff = arrdata.at(group).at(m).data.at(var);
+ assert (myff);
+
+ // Detemine collecting processor
+ const int collect_proc = dest_proc<0 ? 0 : dest_proc;
+
+ // Determine own rank
+ const int rank = CCTK_MyProc(cgh);
+
+ // Calculate global size
+ int totalsize = 1;
+ for (int dd=0; dd<hdim; ++dd) {
+ totalsize *= length[dd];
+ }
+
+ // Allocate memory
+ void* hdata = 0;
+ if (dest_proc==-1 || rank==dest_proc) {
+ assert (0);
+ hdata = malloc(totalsize * typesize);
+ assert (hdata);
+ memset (hdata, 0, totalsize * typesize);
+ }
+
+ // Get sample data
+ const gdata<dim>* mydata;
+ mydata = (*myff)(tl, rl, 0, 0);
+
+ // Stride of data in memory
+ const vect<int,dim> str = mydata->extent().stride();
+
+ // Stride of collected data
+ vect<int,dim> hstr = str;
+ for (int dd=0; dd<hdim; ++dd) {
+ hstr[dirs[dd]-1] *= stride[dd];
+ }
+
+ // Lower bound of collected data
+ vect<int,dim> hlb(0);
+ for (int d=0; d<gp.dim; ++d) {
+ hlb[d] = origin[d] * str[d];
+ }
+
+ // Upper bound of collected data
+ vect<int,dim> hub = hlb;
+ for (int dd=0; dd<hdim; ++dd) {
+ hub[dirs[dd]-1] += (length[dd]-1) * hstr[dirs[dd]-1];
+ }
+
+ // Calculate extent to collect
+ const bbox<int,dim> hextent (hlb, hub, hstr);
+ assert (hextent.size() == totalsize);
+
+ // Create collector data object
+ void* myhdata = rank==collect_proc ? hdata : 0;
+ gdata<dim>* const alldata = mydata->make_typed(-1);
+ alldata->allocate (hextent, collect_proc, myhdata);
+
+ // Done with the temporary stuff
+ mydata = 0;
+
+ for (comm_state<dim> state; !state.done(); state.step()) {
+
+ // Loop over all components, copying data from them
+ BEGIN_LOCAL_COMPONENT_LOOP (cgh, gp.grouptype) {
+
+ // Get data object
+ mydata = (*myff)(tl, rl, component, mglevel);
+
+ // Calculate overlapping extents
+ const bboxset<int,dim> myextents
+ = ((mydd->boxes.at(rl).at(component).at(mglevel).sync_not
+ | mydd->boxes.at(rl).at(component).at(mglevel).interior)
+ & hextent);
+
+ // Loop over overlapping extents
+ for (bboxset<int,dim>::const_iterator ext_iter = myextents.begin();
+ ext_iter != myextents.end();
+ ++ext_iter) {
+
+ // Copy data
+ alldata->copy_from (state, mydata, *ext_iter);
+
+ }
+
+ } END_LOCAL_COMPONENT_LOOP;
+
+ } // for step
+
+ // Copy result to all processors
+ if (dest_proc == -1) {
+ vector<gdata<dim>*> tmpdata(CCTK_nProcs(cgh));
+ vector<comm_state<dim> > state;
+
+ for (int proc=0; proc<CCTK_nProcs(cgh); ++proc) {
+ if (proc != collect_proc) {
+ void* myhdata = rank==proc ? hdata : 0;
+ tmpdata.at(proc) = mydata->make_typed(-1);
+ tmpdata.at(proc)->allocate (alldata->extent(), proc, myhdata);
+ tmpdata.at(proc)->copy_from (state.at(proc), alldata, alldata->extent());
+ }
+ }
+
+ for (int proc=0; proc<CCTK_nProcs(cgh); ++proc) {
+ if (proc != collect_proc) {
+ tmpdata.at(proc)->copy_from (state.at(proc), alldata, alldata->extent());
+ }
+ }
+
+ for (int proc=0; proc<CCTK_nProcs(cgh); ++proc) {
+ if (proc != collect_proc) {
+ tmpdata.at(proc)->copy_from (state.at(proc), alldata, alldata->extent());
+ delete tmpdata.at(proc);
+ }
+ }
+
+ } // Copy result
+
+ delete alldata;
+
+ // Success
+ return hdata;
+ }
+
+
+
+ CCTK_INT
+ CarpetSlab_Get (CCTK_POINTER_TO_CONST const cctkGH_,
+ CCTK_INT const mapping_handle,
+ CCTK_INT const proc,
+ CCTK_INT const vindex,
+ CCTK_INT const timelevel,
+ CCTK_INT const hdatatype,
+ CCTK_POINTER const hdata)
+ {
+ cGH const * const cctkGH = (cGH const *) cctkGH_;
+
+ // Check arguments
+ assert (cctkGH);
+ assert (mapping_handle>=0);
+ assert (proc==-1 || proc>=0 && proc<CCTK_nProcs(cctkGH));
+ assert (vindex>=0 && vindex<CCTK_NumVars());
+ assert (timelevel>=0);
+ assert (hdatatype>=0);
+ assert (hdata);
+
+ // Get mapping
+ const mapping * const mp = RetrieveMapping (mapping_handle);
+ assert (mp);
+
+ // Calculate total size
+ size_t size = 1;
+ for (size_t d=0; d<(size_t)mp->hdim; ++d) {
+ size *= mp->length[d];
+ }
+
+ // Get type size
+ size_t const sz = CCTK_VarTypeSize (hdatatype);
+ assert (sz>0);
+
+ // Forward call
+ FillSlab (cctkGH, proc, vindex, timelevel,
+ mp->hdim,
+ &mp->origin[0], &mp->dirs[0], &mp->stride[0], &mp->length[0],
+ hdata);
+
+ return 0;
+ }
+
+
+
+ CCTK_INT
+ CarpetSlab_GetList (CCTK_POINTER_TO_CONST const cctkGH_,
+ CCTK_INT const mapping_handle,
+ CCTK_INT const num_arrays,
+ CCTK_INT const * const procs,
+ CCTK_INT const * const vindices,
+ CCTK_INT const * const timelevels,
+ CCTK_INT const * const hdatatypes,
+ CCTK_POINTER const * const hdata,
+ CCTK_INT * const retvals)
+ {
+ cGH const * const cctkGH = (cGH const *) cctkGH_;
+
+ // Check arguments
+ assert (cctkGH);
+ assert (mapping_handle>=0);
+ assert (num_arrays>=0);
+ assert (procs);
+ assert (vindices);
+ assert (timelevels);
+ assert (hdatatypes);
+ assert (hdata);
+ assert (retvals);
+
+ // Remember whether there were errors
+ bool everyting_okay = true;
+
+ // Loop over all slabs
+ for (int n=0; n<num_arrays; ++n) {
+ // Forward call
+ retvals[n] = CarpetSlab_Get (cctkGH, mapping_handle, procs[n],
+ vindices[n], timelevels[n], hdatatypes[n],
+ hdata[n]);
+ everyting_okay = everyting_okay && retvals[n];
+ }
+
+ return everyting_okay ? 0 : -1;
+ }
+
+
+
+ typedef CCTK_INT
+ (* conversion_fn_ptr) (CCTK_INT const nelems,
+ CCTK_INT const src_stride,
+ CCTK_INT const dst_stride,
+ CCTK_INT const src_type,
+ CCTK_INT const dst_type,
+ CCTK_POINTER_TO_CONST const from,
+ CCTK_POINTER const to);
+
+
+
+ CCTK_INT
+ CarpetSlab_LocalMappingByIndex (CCTK_POINTER_TO_CONST const cctkGH_,
+ CCTK_INT const vindex,
+ CCTK_INT const hdim,
+ CCTK_INT const * const direction,
+ CCTK_INT const * const origin,
+ CCTK_INT const * const extent,
+ CCTK_INT const * const downsample_,
+ CCTK_INT const table_handle,
+ conversion_fn_ptr const conversion_fn,
+ CCTK_INT * const hsize_local,
+ CCTK_INT * const hsize_global,
+ CCTK_INT * const hoffset_global)
+ {
+ CCTK_WARN (0, "not implemented");
+ return 0;
+ }
+
+
+
+ CCTK_INT
+ CarpetSlab_GlobalMappingByIndex (CCTK_POINTER_TO_CONST const cctkGH_,
+ CCTK_INT const vindex,
+ CCTK_INT const hdim,
+ CCTK_INT const * const direction,
+ CCTK_INT const * const origin,
+ CCTK_INT const * const extent,
+ CCTK_INT const * const downsample_,
+ CCTK_INT const table_handle,
+ conversion_fn_ptr const conversion_fn,
+ CCTK_INT * const hsize)
+ {
+ cGH const * const cctkGH = (cGH const *) cctkGH_;
+
+ // Check arguments
+ assert (cctkGH);
+ assert (vindex>=0 && vindex<CCTK_NumVars());
+ assert (hdim>=0 && hdim<=dim);
+ assert (direction);
+ assert (origin);
+ assert (extent);
+ // assert (downsample);
+ // assert (table_handle>=0);
+ assert (hsize);
+
+ // Get more information
+ int const vdim = CCTK_GroupDimFromVarI (vindex);
+ assert (vdim>=0 && vdim<=dim);
+ assert (hdim<=vdim);
+
+ // Not implemented
+ assert (! conversion_fn);
+
+ // Allocate memory
+ mapping * mp = new mapping;
+
+ // Calculate more convenient representation of the direction
+ vector<int> dirs(hdim);
+ for (int d=0; d<hdim; ++d) {
+ for (int dd=0; dd<vdim; ++dd) {
+ if (direction[d*vdim+dd]!=0) {
+ dirs[d] = dd+1;
+ goto found;
+ }
+ }
+ assert (0);
+ found:;
+ for (int dd=0; dd<vdim; ++dd) {
+ assert ((direction[d*vdim+dd]!=0) == (dirs[d]==dd+1));
+ }
+ for (int dd=0; dd<d; ++dd) {
+ assert (dirs[dd] != dirs[d]);
+ }
+ }
+
+ // Calculate lengths
+ vector<CCTK_INT> downsample(hdim);
+ for (int dd=0; dd<hdim; ++dd) {
+ downsample[dd] = downsample_ ? downsample_[dd] : 1;
+ if (extent[dd]<0) {
+ int gsh[dim];
+ int ierr = CCTK_GroupgshVI(cctkGH, dim, gsh, vindex);
+ assert (!ierr);
+ const int totlen = gsh[dirs[dd]-1];
+ assert (totlen>=0);
+ // Partial argument check
+ assert (origin[dirs[dd]-1]>=0);
+ assert (origin[dirs[dd]-1]<=totlen);
+ assert (downsample[dd]>0);
+ hsize[dd] = (totlen - origin[dirs[dd]-1]) / downsample[dd];
+ } else {
+ hsize[dd] = extent[dd];
+ }
+ assert (hsize[dd]>=0);
+ }
+
+ // Store information
+ mp->vindex = vindex;
+ mp->hdim = hdim;
+ mp->origin.resize(vdim);
+ mp->dirs .resize(hdim);
+ mp->stride.resize(hdim);
+ mp->length.resize(hdim);
+ for (size_t d=0; d<(size_t)vdim; ++d) {
+ mp->origin[d] = origin[d];
+ }
+ for (size_t d=0; d<(size_t)hdim; ++d) {
+ mp->dirs[d] = dirs[d];
+ mp->stride[d] = downsample[d];
+ mp->length[d] = hsize[d];
+ }
+
+ return StoreMapping (mp);
+ }
+
+
+
+ CCTK_INT
+ CarpetSlab_FreeMapping (CCTK_INT const mapping_handle)
+ {
+ // Check arguments
+ assert (mapping_handle>=0);
+
+ // Get mapping
+ mapping * mp = RetrieveMapping (mapping_handle);
+ assert (mp);
+
+ // Delete storage
+ DeleteMapping (mapping_handle);
+
+ delete mp;
+
+ return 0;
+ }
+
+
+
+ int
+ Hyperslab_GetHyperslab (const cGH* const GH,
+ const int target_proc,
+ const int vindex,
+ const int vtimelvl,
+ const int hdim,
+ const int global_startpoint [/*vdim*/],
+ const int directions [/*vdim*/],
+ const int lengths [/*hdim*/],
+ const int downsample_ [/*hdim*/],
+ void** const hdata,
+ int hsize [/*hdim*/])
+ {
+ const int vdim = CCTK_GroupDimFromVarI(vindex);
+ assert (vdim>=1 && vdim<=dim);
+
+ // Check some arguments
+ assert (hdim>=0 && hdim<=dim);
+
+ // Check output arguments
+ assert (hdata);
+ assert (hsize);
+
+ // Calculate more convenient representation of the direction
+ int dirs[dim]; // should really be dirs[hdim]
+ // The following if statement is written according to the
+ // definition of "dir".
+ if (hdim==1) {
+ // 1-dimensional hyperslab
+ int mydir = 0;
+ for (int d=0; d<vdim; ++d) {
+ if (directions[d]!=0) {
+ mydir = d+1;
+ break;
+ }
+ }
+ assert (mydir>0);
+ for (int d=0; d<vdim; ++d) {
+ if (d == mydir-1) {
+ assert (directions[d]!=0);
+ } else {
+ assert (directions[d]==0);
+ }
+ }
+ dirs[0] = mydir;
+ } else if (hdim==vdim) {
+ // vdim-dimensional hyperslab
+ for (int d=0; d<vdim; ++d) {
+ dirs[d] = d+1;
+ }
+ } else if (hdim==2) {
+ // 2-dimensional hyperslab with vdim==3
+ assert (vdim==3);
+ int mydir = 0;
+ for (int d=0; d<vdim; ++d) {
+ if (directions[d]==0) {
+ mydir = d+1;
+ break;
+ }
+ }
+ assert (mydir>0);
+ for (int d=0; d<vdim; ++d) {
+ if (d == mydir-1) {
+ assert (directions[d]==0);
+ } else {
+ assert (directions[d]!=0);
+ }
+ }
+ int dd=0;
+ for (int d=0; d<vdim; ++d) {
+ if (d != mydir-1) {
+ dirs[dd] = d+1;
+ ++dd;
+ }
+ }
+ assert (dd==hdim);
+ } else {
+ assert (0);
+ }
+ // Fill remaining length
+ for (int d=vdim; d<dim; ++d) {
+ dirs[d] = d+1;
+ }
+
+ // Calculate lengths
+ vector<int> downsample(hdim);
+ for (int dd=0; dd<hdim; ++dd) {
+ if (lengths[dd]<0) {
+ int gsh[dim];
+ int ierr = CCTK_GroupgshVI(GH, dim, gsh, vindex);
+ assert (!ierr);
+ const int totlen = gsh[dirs[dd]-1];
+ assert (totlen>=0);
+ // Partial argument check
+ assert (global_startpoint[dirs[dd]-1]>=0);
+ assert (global_startpoint[dirs[dd]-1]<=totlen);
+ downsample[dd] = downsample_ ? downsample_[dd] : 1;
+ assert (downsample[dd]>0);
+ hsize[dd] = (totlen - global_startpoint[dirs[dd]-1]) / downsample[dd];
+ } else {
+ hsize[dd] = lengths[dd];
+ }
+ assert (hsize[dd]>=0);
+ }
+
+ // Get the slab
+ *hdata = GetSlab (GH,
+ target_proc,
+ vindex,
+ vtimelvl,
+ hdim,
+ global_startpoint,
+ dirs,
+ &downsample[0],
+ hsize);
+
+ // Return with success
+ return 1;
+ }
+
+
+
+} // namespace CarpetSlab
diff --git a/Carpet/CarpetSlab/src/slab.h b/Carpet/CarpetSlab/src/slab.h
new file mode 100644
index 000000000..6e6bc3029
--- /dev/null
+++ b/Carpet/CarpetSlab/src/slab.h
@@ -0,0 +1,89 @@
+/* $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetSlab/src/slab.h,v 1.4 2004/01/25 14:57:31 schnetter Exp $ */
+
+#ifndef CARPETSLAB_H
+#define CARPETSLAB_H
+
+#include "cctk.h"
+
+#ifdef __cplusplus
+namespace CarpetSlab {
+ extern "C" {
+#endif
+
+ CCTK_INT CarpetSlab_Get (CCTK_POINTER_TO_CONST const cctkGH,
+ CCTK_INT const mapping_handle,
+ CCTK_INT const proc,
+ CCTK_INT const vindex,
+ CCTK_INT const timelevel,
+ CCTK_INT const hdatatype,
+ void * const hdata);
+
+ CCTK_INT CarpetSlab_GetList (CCTK_POINTER_TO_CONST const cctkGH,
+ CCTK_INT const mapping_handle,
+ CCTK_INT const num_arrays,
+ CCTK_INT const * const procs,
+ CCTK_INT const * const vindices,
+ CCTK_INT const * const timelevels,
+ CCTK_INT const * const hdatatypes,
+ void * const * const hdata,
+ CCTK_INT * const retvals);
+
+ CCTK_INT CarpetSlab_LocalMappingByIndex (CCTK_POINTER_TO_CONST const cctkGH,
+ CCTK_INT const vindex,
+ CCTK_INT const hdim,
+ CCTK_INT const * const direction,
+ CCTK_INT const * const origin,
+ CCTK_INT const * const extent,
+ CCTK_INT const * const downsample,
+ CCTK_INT const table_handle,
+ CCTK_INT (* const conversion_fn) (CCTK_INT const nelems,
+ CCTK_INT const src_stride,
+ CCTK_INT const dst_stride,
+ CCTK_INT const src_type,
+ CCTK_INT const dst_type,
+ void const * const from,
+ void * const to),
+ CCTK_INT * const hsize_local,
+ CCTK_INT * const hsize_global,
+ CCTK_INT * const hoffset_global);
+
+ CCTK_INT CarpetSlab_GlobalMappingByIndex (CCTK_POINTER_TO_CONST const cctkGH,
+ CCTK_INT const vindex,
+ CCTK_INT const hdim,
+ CCTK_INT const * const direction,
+ CCTK_INT const * const origin,
+ CCTK_INT const * const extent,
+ CCTK_INT const * const downsample,
+ CCTK_INT const table_handle,
+ CCTK_INT (* const conversion_fn) (CCTK_INT const nelems,
+ CCTK_INT const src_stride,
+ CCTK_INT const dst_stride,
+ CCTK_INT const src_type,
+ CCTK_INT const dst_type,
+ void const * const from,
+ void * const to),
+ CCTK_INT * const hsize);
+
+ CCTK_INT CarpetSlab_FreeMapping (CCTK_INT const mapping_handle);
+
+
+
+ /* Old interface -- don't use */
+ int Hyperslab_GetHyperslab (const cGH* const GH,
+ const int target_proc,
+ const int vindex,
+ const int vtimelvl,
+ const int hdim,
+ const int global_startpoint [/*vdim*/],
+ const int directions [/*vdim*/],
+ const int lengths [/*hdim*/],
+ const int downsample [/*hdim*/],
+ void** const hdata,
+ int hsize [/*hdim*/]);
+
+#ifdef __cplusplus
+ } /* extern "C" */
+} /* namespace CarpetSlab */
+#endif
+
+#endif /* !defined(CARPETSLAB_H) */
diff --git a/Carpet/CarpetSlab/src/slab.hh b/Carpet/CarpetSlab/src/slab.hh
new file mode 100644
index 000000000..a6259236d
--- /dev/null
+++ b/Carpet/CarpetSlab/src/slab.hh
@@ -0,0 +1,37 @@
+// $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetSlab/src/slab.hh,v 1.2 2003/11/05 16:18:39 schnetter Exp $
+
+#ifndef CARPETSLAB_HH
+#define CARPETSLAB_HH
+
+#include "cctk.h"
+
+#include "slab.h"
+
+namespace CarpetSlab {
+
+ // Non-standard interface -- don't use
+ void FillSlab (const cGH* const cgh,
+ const int dest_proc,
+ const int n,
+ const int tl,
+ const int hdim,
+ const int origin[/*vdim*/],
+ const int dirs[/*hdim*/],
+ const int stride[/*hdim*/],
+ const int length[/*hdim*/],
+ void* const hdata);
+
+ // Non-standard interface -- don't use
+ void* GetSlab (const cGH* const cgh,
+ const int dest_proc,
+ const int n,
+ const int tl,
+ const int hdim,
+ const int origin[/*vdim*/],
+ const int dirs[/*hdim*/],
+ const int stride[/*hdim*/],
+ const int length[/*hdim*/]);
+
+} // namespace CarpetSlab
+
+#endif // !defined(CARPETSLAB_HH)
diff --git a/Carpet/CarpetTest/COPYING b/Carpet/CarpetTest/COPYING
new file mode 100644
index 000000000..1942c4334
--- /dev/null
+++ b/Carpet/CarpetTest/COPYING
@@ -0,0 +1,341 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 59 Temple Place - Suite 330
+ Boston, MA 02111-1307, USA.
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
+
+ The licenses for most software are designed to take away your
+freedom to share and change it. By contrast, the GNU General Public
+License is intended to guarantee your freedom to share and change free
+software--to make sure the software is free for all its users. This
+General Public License applies to most of the Free Software
+Foundation's software and to any other program whose authors commit to
+using it. (Some other Free Software Foundation software is covered by
+the GNU Library General Public License instead.) You can apply it to
+your programs, too.
+
+ When we speak of free software, we are referring to freedom, not
+price. Our General Public Licenses are designed to make sure that you
+have the freedom to distribute copies of free software (and charge for
+this service if you wish), that you receive source code or can get it
+if you want it, that you can change the software or use pieces of it
+in new free programs; and that you know you can do these things.
+
+ To protect your rights, we need to make restrictions that forbid
+anyone to deny you these rights or to ask you to surrender the rights.
+These restrictions translate to certain responsibilities for you if you
+distribute copies of the software, or if you modify it.
+
+ For example, if you distribute copies of such a program, whether
+gratis or for a fee, you must give the recipients all the rights that
+you have. You must make sure that they, too, receive or can get the
+source code. And you must show them these terms so they know their
+rights.
+
+ We protect your rights with two steps: (1) copyright the software, and
+(2) offer you this license which gives you legal permission to copy,
+distribute and/or modify the software.
+
+ Also, for each author's protection and ours, we want to make certain
+that everyone understands that there is no warranty for this free
+software. If the software is modified by someone else and passed on, we
+want its recipients to know that what they have is not the original, so
+that any problems introduced by others will not reflect on the original
+authors' reputations.
+
+ Finally, any free program is threatened constantly by software
+patents. We wish to avoid the danger that redistributors of a free
+program will individually obtain patent licenses, in effect making the
+program proprietary. To prevent this, we have made it clear that any
+patent must be licensed for everyone's free use or not licensed at all.
+
+ The precise terms and conditions for copying, distribution and
+modification follow.
+
+ GNU GENERAL PUBLIC LICENSE
+ TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
+
+ 0. This License applies to any program or other work which contains
+a notice placed by the copyright holder saying it may be distributed
+under the terms of this General Public License. The "Program", below,
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+either verbatim or with modifications and/or translated into another
+language. (Hereinafter, translation is included without limitation in
+the term "modification".) Each licensee is addressed as "you".
+
+Activities other than copying, distribution and modification are not
+covered by this License; they are outside its scope. The act of
+running the Program is not restricted, and the output from the Program
+is covered only if its contents constitute a work based on the
+Program (independent of having been made by running the Program).
+Whether that is true depends on what the Program does.
+
+ 1. You may copy and distribute verbatim copies of the Program's
+source code as you receive it, in any medium, provided that you
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+
+You may charge a fee for the physical act of transferring a copy, and
+you may at your option offer warranty protection in exchange for a fee.
+
+ 2. You may modify your copy or copies of the Program or any portion
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+
+ a) You must cause the modified files to carry prominent notices
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+
+ b) You must cause any work that you distribute or publish, that in
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+
+ c) If the modified program normally reads commands interactively
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diff --git a/Carpet/CarpetTest/README b/Carpet/CarpetTest/README
new file mode 100644
index 000000000..73ee4263f
--- /dev/null
+++ b/Carpet/CarpetTest/README
@@ -0,0 +1,9 @@
+Cactus Code Thorn CarpetTest
+Authors : Erik Schnetter <schnetter@uni-tuebingen.de>
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetTest/README,v 1.1 2001/07/04 12:29:53 schnetter Exp $
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+This thorn contains a few test grid functions, grid arrays, and
+scalars to test the driver.
diff --git a/Carpet/CarpetTest/interface.ccl b/Carpet/CarpetTest/interface.ccl
new file mode 100644
index 000000000..55cd937c5
--- /dev/null
+++ b/Carpet/CarpetTest/interface.ccl
@@ -0,0 +1,29 @@
+# Interface definition for thorn CarpetTest
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetTest/interface.ccl,v 1.2 2001/07/09 09:00:26 schnetter Exp $
+
+implements: CarpetTest
+
+CCTK_REAL gfg type=GF
+{
+ gf
+} "grid function"
+
+CCTK_REAL arrg3 type=ARRAY size=i3,i4,i5
+{
+ arr3
+} "3D array"
+
+CCTK_REAL arrg2 type=ARRAY dim=2 size=i6,i7
+{
+ arr2
+} "2D array"
+
+CCTK_REAL arrg1 type=ARRAY dim=1 size=i8
+{
+ arr1
+} "1D array"
+
+CCTK_REAL scg type=SCALAR
+{
+ sc
+} "scalar"
diff --git a/Carpet/CarpetTest/param.ccl b/Carpet/CarpetTest/param.ccl
new file mode 100644
index 000000000..a8b831dd4
--- /dev/null
+++ b/Carpet/CarpetTest/param.ccl
@@ -0,0 +1,32 @@
+# Parameter definitions for thorn CarpetTest
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetTest/param.ccl,v 1.1 2001/07/04 12:29:54 schnetter Exp $
+
+CCTK_INT i3 "three"
+{
+ 0:* :: "should be 3"
+} 3
+
+CCTK_INT i4 "four"
+{
+ 0:* :: "should be 4"
+} 4
+
+CCTK_INT i5 "five"
+{
+ 0:* :: "should be 5"
+} 5
+
+CCTK_INT i6 "six"
+{
+ 0:* :: "should be 6"
+} 6
+
+CCTK_INT i7 "seven"
+{
+ 0:* :: "should be 7"
+} 7
+
+CCTK_INT i8 "eight"
+{
+ 0:* :: "should be 8"
+} 8
diff --git a/Carpet/CarpetTest/schedule.ccl b/Carpet/CarpetTest/schedule.ccl
new file mode 100644
index 000000000..1ade016b9
--- /dev/null
+++ b/Carpet/CarpetTest/schedule.ccl
@@ -0,0 +1,14 @@
+# Schedule definitions for thorn CarpetTest
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetTest/schedule.ccl,v 1.3 2003/11/05 16:18:39 schnetter Exp $
+
+STORAGE: gfg arrg1 arrg2 arrg3
+
+schedule carpettest_check_sizes AT initial
+{
+ LANG: C
+} "Check grid function and grid array sizes"
+
+schedule carpettest_check_arguments AT initial
+{
+ LANG: Fortran
+} "Check grid function and grid array arguments"
diff --git a/Carpet/CarpetTest/src/carpettest_check_arguments.F77 b/Carpet/CarpetTest/src/carpettest_check_arguments.F77
new file mode 100644
index 000000000..297e38977
--- /dev/null
+++ b/Carpet/CarpetTest/src/carpettest_check_arguments.F77
@@ -0,0 +1,44 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetTest/src/carpettest_check_arguments.F77,v 1.5 2004/01/25 14:57:31 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine carpettest_check_arguments (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ integer i,j,k
+ print *, "Xgfg ", Xgfg0, Xgfg1, Xgfg2
+ print *, "Xarrg3 ", Xarrg30, Xarrg31, Xarrg32
+ print *, "Xarrg2 ", Xarrg20, Xarrg21
+ print *, "Xarrg1 ", Xarrg10
+ print *, "Xscg"
+ print *
+ do k=1,Xgfg2
+ do j=1,Xgfg1
+ do i=1,Xgfg0
+ gf(i,j,k) = i*10000 + j*100 + k
+ end do
+ end do
+ end do
+ do k=1,Xarrg32
+ do j=1,Xarrg31
+ do i=1,Xarrg30
+ arr3(i,j,k) = i*10000 + j*100 + k
+ end do
+ end do
+ end do
+ do j=1,Xarrg21
+ do i=1,Xarrg20
+ arr2(i,j) = i*100 + j
+ end do
+ end do
+ do i=1,Xarrg10
+ arr1(i) = i
+ end do
+ sc = 42
+ end
diff --git a/Carpet/CarpetTest/src/carpettest_check_sizes.c b/Carpet/CarpetTest/src/carpettest_check_sizes.c
new file mode 100644
index 000000000..c4e17baf7
--- /dev/null
+++ b/Carpet/CarpetTest/src/carpettest_check_sizes.c
@@ -0,0 +1,107 @@
+/* $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetTest/src/carpettest_check_sizes.c,v 1.2 2001/07/09 09:00:27 schnetter Exp $ */
+
+#include <assert.h>
+#include <stdio.h>
+#include <stdlib.h>
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+
+void carpettest_check_sizes (CCTK_ARGUMENTS);
+
+static void print_scalar (const char *name, int sc);
+static void print_scalar_descr (const char *name, int sc, const char *descr);
+static void print_array (const char *name, int dim, const int *arr);
+
+static const char *grouptype_string (int grouptype);
+static const char *disttype_string (int disttype);
+
+
+
+void carpettest_check_sizes (CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_PARAMETERS
+ int group;
+ int dim;
+ cGroup data;
+ cGroupDynamicData dyndata;
+
+ dim = cctk_dim;
+ print_scalar ("cctk_dim", cctk_dim);
+ print_array ("cctk_gsh", dim, cctk_gsh);
+ print_array ("cctk_lsh", dim, cctk_lsh);
+ print_array ("cctk_lbnd", dim, cctk_lbnd);
+ print_array ("cctk_ubnd", dim, cctk_ubnd);
+ print_array ("cctk_bbox", 2*dim, cctk_bbox);
+ print_array ("cctk_nghostzones", dim, cctk_nghostzones);
+ printf ("\n");
+
+ for (group=0; group<CCTK_NumGroups(); ++group) {
+ CCTK_GroupData (group, &data);
+ CCTK_GroupDynamicData (cctkGH, group, &dyndata);
+
+ print_scalar_descr ("group", group, CCTK_GroupName(group));
+
+ dim = data.dim;
+ print_scalar ("dim", data.dim);
+ print_scalar_descr ("grouptype", data.grouptype, grouptype_string(data.grouptype));
+ print_scalar_descr ("vartype", data.vartype, CCTK_VarTypeName(data.vartype));
+ print_scalar_descr ("disttype", data.disttype, disttype_string(data.disttype));
+ print_scalar ("stagtype", data.stagtype);
+ print_scalar ("numvars", data.numvars);
+ print_scalar ("numtimelevels", data.numtimelevels);
+ print_array ("gsh", dim, dyndata.gsh);
+ print_array ("lsh", dim, dyndata.lsh);
+ print_array ("lbnd", dim, dyndata.lbnd);
+ print_array ("ubnd", dim, dyndata.ubnd);
+ print_array ("bbox", 2*dim, dyndata.bbox);
+ print_array ("nghostzones", dim, dyndata.nghostzones);
+ printf ("\n");
+ }
+
+}
+
+
+
+static void print_scalar (const char *name, int sc)
+{
+ printf ("%-15s: %3d\n", name, sc);
+}
+
+static void print_scalar_descr (const char *name, int sc, const char *descr)
+{
+ printf ("%-15s: %3d %s\n", name, sc, descr);
+}
+
+static void print_array (const char *name, int dim, const int *arr)
+{
+ int d;
+ printf ("%-15s:", name);
+ for (d=0; d<dim; ++d) {
+ printf (" %3d", arr[d]);
+ }
+ printf ("\n");
+}
+
+
+
+static const char *grouptype_string (int grouptype)
+{
+ switch (grouptype) {
+ case CCTK_SCALAR: return "CCTK_SCALAR";
+ case CCTK_GF: return "CCTK_GF";
+ case CCTK_ARRAY: return "CCTK_ARRAY";
+ }
+ return "[illegal group type]";
+}
+
+static const char *disttype_string (int disttype)
+{
+ switch (disttype) {
+ case CCTK_DISTRIB_CONSTANT: return "CCTK_DISTRIB_CONSTANT";
+ case CCTK_DISTRIB_DEFAULT: return "CCTK_DISTRIB_DEFAULT";
+ }
+ return "[illegal distribution type]";
+}
diff --git a/Carpet/CarpetTest/src/make.code.defn b/Carpet/CarpetTest/src/make.code.defn
new file mode 100644
index 000000000..cb469f0b4
--- /dev/null
+++ b/Carpet/CarpetTest/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn CarpetTest
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetTest/src/make.code.defn,v 1.1 2001/07/04 12:29:55 schnetter Exp $
+
+# Source files in this directory
+SRCS = carpettest_check_sizes.c carpettest_check_arguments.F77
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/Carpet/CarpetTest/test/arraysizes.par b/Carpet/CarpetTest/test/arraysizes.par
new file mode 100644
index 000000000..81647fe42
--- /dev/null
+++ b/Carpet/CarpetTest/test/arraysizes.par
@@ -0,0 +1,28 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetTest/test/arraysizes.par,v 1.5 2004/03/23 12:01:59 schnetter Exp $
+
+!DESC "Check array sizes"
+
+ActiveThorns = "Carpet CarpetLib CarpetSlab Cart3d IOUtil CarpetIOASCII CarpetTest"
+
+Cactus::cctk_itlast = 0
+
+IO::out_dir = "arraysizes"
+
+IOASCII::out1D_every = 1
+IOASCII::out2D_every = 1
+IOASCII::out3D_every = 1
+
+IOASCII::out1D_xline_yi = 0
+IOASCII::out1D_xline_zi = 0
+IOASCII::out1D_yline_xi = 0
+IOASCII::out1D_yline_zi = 0
+IOASCII::out1D_zline_xi = 0
+IOASCII::out1D_zline_yi = 0
+
+IOASCII::out2D_xyplane_zi = 0
+IOASCII::out2D_xzplane_yi = 0
+IOASCII::out2D_yzplane_xi = 0
+
+IOASCII::out1D_vars = "CarpetTest::gfg CarpetTest::arrg3 CarpetTest::arrg2 CarpetTest::arrg1 CarpetTest::scg"
+IOASCII::out2D_vars = "CarpetTest::gfg CarpetTest::arrg3 CarpetTest::arrg2 CarpetTest::arrg1 CarpetTest::scg"
+IOASCII::out3D_vars = "CarpetTest::gfg CarpetTest::arrg3 CarpetTest::arrg2 CarpetTest::arrg1 CarpetTest::scg"
diff --git a/Carpet/CarpetTest/test/arraysizes/arr1.xl b/Carpet/CarpetTest/test/arraysizes/arr1.xl
new file mode 100644
index 000000000..dd69e4673
--- /dev/null
+++ b/Carpet/CarpetTest/test/arraysizes/arr1.xl
@@ -0,0 +1,15 @@
+# CARPETTEST::arr1 x (arr1)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 0 1
+0 0 0 0 0 1 0 0 2
+0 0 0 0 0 2 0 0 3
+0 0 0 0 0 3 0 0 4
+0 0 0 0 0 4 0 0 5
+0 0 0 0 0 5 0 0 6
+0 0 0 0 0 6 0 0 7
+0 0 0 0 0 7 0 0 8
+
+
diff --git a/Carpet/CarpetTest/test/arraysizes/arr2.xl b/Carpet/CarpetTest/test/arraysizes/arr2.xl
new file mode 100644
index 000000000..a67e69364
--- /dev/null
+++ b/Carpet/CarpetTest/test/arraysizes/arr2.xl
@@ -0,0 +1,13 @@
+# CARPETTEST::arr2 x (arr2)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 0 101
+0 0 0 0 0 1 0 0 201
+0 0 0 0 0 2 0 0 301
+0 0 0 0 0 3 0 0 401
+0 0 0 0 0 4 0 0 501
+0 0 0 0 0 5 0 0 601
+
+
diff --git a/Carpet/CarpetTest/test/arraysizes/arr2.xyp b/Carpet/CarpetTest/test/arraysizes/arr2.xyp
new file mode 100644
index 000000000..abd57c4e1
--- /dev/null
+++ b/Carpet/CarpetTest/test/arraysizes/arr2.xyp
@@ -0,0 +1,56 @@
+# CARPETTEST::arr2 x y (arr2)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 0 101
+0 0 0 0 0 1 0 0 201
+0 0 0 0 0 2 0 0 301
+0 0 0 0 0 3 0 0 401
+0 0 0 0 0 4 0 0 501
+0 0 0 0 0 5 0 0 601
+
+0 0 0 0 0 0 1 0 102
+0 0 0 0 0 1 1 0 202
+0 0 0 0 0 2 1 0 302
+0 0 0 0 0 3 1 0 402
+0 0 0 0 0 4 1 0 502
+0 0 0 0 0 5 1 0 602
+
+0 0 0 0 0 0 2 0 103
+0 0 0 0 0 1 2 0 203
+0 0 0 0 0 2 2 0 303
+0 0 0 0 0 3 2 0 403
+0 0 0 0 0 4 2 0 503
+0 0 0 0 0 5 2 0 603
+
+0 0 0 0 0 0 3 0 104
+0 0 0 0 0 1 3 0 204
+0 0 0 0 0 2 3 0 304
+0 0 0 0 0 3 3 0 404
+0 0 0 0 0 4 3 0 504
+0 0 0 0 0 5 3 0 604
+
+0 0 0 0 0 0 4 0 105
+0 0 0 0 0 1 4 0 205
+0 0 0 0 0 2 4 0 305
+0 0 0 0 0 3 4 0 405
+0 0 0 0 0 4 4 0 505
+0 0 0 0 0 5 4 0 605
+
+0 0 0 0 0 0 5 0 106
+0 0 0 0 0 1 5 0 206
+0 0 0 0 0 2 5 0 306
+0 0 0 0 0 3 5 0 406
+0 0 0 0 0 4 5 0 506
+0 0 0 0 0 5 5 0 606
+
+0 0 0 0 0 0 6 0 107
+0 0 0 0 0 1 6 0 207
+0 0 0 0 0 2 6 0 307
+0 0 0 0 0 3 6 0 407
+0 0 0 0 0 4 6 0 507
+0 0 0 0 0 5 6 0 607
+
+
+
diff --git a/Carpet/CarpetTest/test/arraysizes/arr2.yl b/Carpet/CarpetTest/test/arraysizes/arr2.yl
new file mode 100644
index 000000000..932503906
--- /dev/null
+++ b/Carpet/CarpetTest/test/arraysizes/arr2.yl
@@ -0,0 +1,14 @@
+# CARPETTEST::arr2 y (arr2)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 0 101
+0 0 0 0 0 0 1 0 102
+0 0 0 0 0 0 2 0 103
+0 0 0 0 0 0 3 0 104
+0 0 0 0 0 0 4 0 105
+0 0 0 0 0 0 5 0 106
+0 0 0 0 0 0 6 0 107
+
+
diff --git a/Carpet/CarpetTest/test/arraysizes/arr3.xl b/Carpet/CarpetTest/test/arraysizes/arr3.xl
new file mode 100644
index 000000000..fc87a1d7e
--- /dev/null
+++ b/Carpet/CarpetTest/test/arraysizes/arr3.xl
@@ -0,0 +1,10 @@
+# CARPETTEST::arr3 x (arr3)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 0 10101
+0 0 0 0 0 1 0 0 20101
+0 0 0 0 0 2 0 0 30101
+
+
diff --git a/Carpet/CarpetTest/test/arraysizes/arr3.xyp b/Carpet/CarpetTest/test/arraysizes/arr3.xyp
new file mode 100644
index 000000000..297ee34bc
--- /dev/null
+++ b/Carpet/CarpetTest/test/arraysizes/arr3.xyp
@@ -0,0 +1,23 @@
+# CARPETTEST::arr3 x y (arr3)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 0 10101
+0 0 0 0 0 1 0 0 20101
+0 0 0 0 0 2 0 0 30101
+
+0 0 0 0 0 0 1 0 10201
+0 0 0 0 0 1 1 0 20201
+0 0 0 0 0 2 1 0 30201
+
+0 0 0 0 0 0 2 0 10301
+0 0 0 0 0 1 2 0 20301
+0 0 0 0 0 2 2 0 30301
+
+0 0 0 0 0 0 3 0 10401
+0 0 0 0 0 1 3 0 20401
+0 0 0 0 0 2 3 0 30401
+
+
+
diff --git a/Carpet/CarpetTest/test/arraysizes/arr3.xyzv b/Carpet/CarpetTest/test/arraysizes/arr3.xyzv
new file mode 100644
index 000000000..2a1ac20f2
--- /dev/null
+++ b/Carpet/CarpetTest/test/arraysizes/arr3.xyzv
@@ -0,0 +1,92 @@
+# CARPETTEST::arr3 x y z (arr3)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 0 10101
+0 0 0 0 0 1 0 0 20101
+0 0 0 0 0 2 0 0 30101
+
+0 0 0 0 0 0 1 0 10201
+0 0 0 0 0 1 1 0 20201
+0 0 0 0 0 2 1 0 30201
+
+0 0 0 0 0 0 2 0 10301
+0 0 0 0 0 1 2 0 20301
+0 0 0 0 0 2 2 0 30301
+
+0 0 0 0 0 0 3 0 10401
+0 0 0 0 0 1 3 0 20401
+0 0 0 0 0 2 3 0 30401
+
+
+0 0 0 0 0 0 0 1 10102
+0 0 0 0 0 1 0 1 20102
+0 0 0 0 0 2 0 1 30102
+
+0 0 0 0 0 0 1 1 10202
+0 0 0 0 0 1 1 1 20202
+0 0 0 0 0 2 1 1 30202
+
+0 0 0 0 0 0 2 1 10302
+0 0 0 0 0 1 2 1 20302
+0 0 0 0 0 2 2 1 30302
+
+0 0 0 0 0 0 3 1 10402
+0 0 0 0 0 1 3 1 20402
+0 0 0 0 0 2 3 1 30402
+
+
+0 0 0 0 0 0 0 2 10103
+0 0 0 0 0 1 0 2 20103
+0 0 0 0 0 2 0 2 30103
+
+0 0 0 0 0 0 1 2 10203
+0 0 0 0 0 1 1 2 20203
+0 0 0 0 0 2 1 2 30203
+
+0 0 0 0 0 0 2 2 10303
+0 0 0 0 0 1 2 2 20303
+0 0 0 0 0 2 2 2 30303
+
+0 0 0 0 0 0 3 2 10403
+0 0 0 0 0 1 3 2 20403
+0 0 0 0 0 2 3 2 30403
+
+
+0 0 0 0 0 0 0 3 10104
+0 0 0 0 0 1 0 3 20104
+0 0 0 0 0 2 0 3 30104
+
+0 0 0 0 0 0 1 3 10204
+0 0 0 0 0 1 1 3 20204
+0 0 0 0 0 2 1 3 30204
+
+0 0 0 0 0 0 2 3 10304
+0 0 0 0 0 1 2 3 20304
+0 0 0 0 0 2 2 3 30304
+
+0 0 0 0 0 0 3 3 10404
+0 0 0 0 0 1 3 3 20404
+0 0 0 0 0 2 3 3 30404
+
+
+0 0 0 0 0 0 0 4 10105
+0 0 0 0 0 1 0 4 20105
+0 0 0 0 0 2 0 4 30105
+
+0 0 0 0 0 0 1 4 10205
+0 0 0 0 0 1 1 4 20205
+0 0 0 0 0 2 1 4 30205
+
+0 0 0 0 0 0 2 4 10305
+0 0 0 0 0 1 2 4 20305
+0 0 0 0 0 2 2 4 30305
+
+0 0 0 0 0 0 3 4 10405
+0 0 0 0 0 1 3 4 20405
+0 0 0 0 0 2 3 4 30405
+
+
+
+
diff --git a/Carpet/CarpetTest/test/arraysizes/arr3.xzp b/Carpet/CarpetTest/test/arraysizes/arr3.xzp
new file mode 100644
index 000000000..512c57878
--- /dev/null
+++ b/Carpet/CarpetTest/test/arraysizes/arr3.xzp
@@ -0,0 +1,27 @@
+# CARPETTEST::arr3 x z (arr3)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 0 10101
+0 0 0 0 0 1 0 0 20101
+0 0 0 0 0 2 0 0 30101
+
+0 0 0 0 0 0 0 1 10102
+0 0 0 0 0 1 0 1 20102
+0 0 0 0 0 2 0 1 30102
+
+0 0 0 0 0 0 0 2 10103
+0 0 0 0 0 1 0 2 20103
+0 0 0 0 0 2 0 2 30103
+
+0 0 0 0 0 0 0 3 10104
+0 0 0 0 0 1 0 3 20104
+0 0 0 0 0 2 0 3 30104
+
+0 0 0 0 0 0 0 4 10105
+0 0 0 0 0 1 0 4 20105
+0 0 0 0 0 2 0 4 30105
+
+
+
diff --git a/Carpet/CarpetTest/test/arraysizes/arr3.yl b/Carpet/CarpetTest/test/arraysizes/arr3.yl
new file mode 100644
index 000000000..5be860d1c
--- /dev/null
+++ b/Carpet/CarpetTest/test/arraysizes/arr3.yl
@@ -0,0 +1,11 @@
+# CARPETTEST::arr3 y (arr3)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 0 10101
+0 0 0 0 0 0 1 0 10201
+0 0 0 0 0 0 2 0 10301
+0 0 0 0 0 0 3 0 10401
+
+
diff --git a/Carpet/CarpetTest/test/arraysizes/arr3.yzp b/Carpet/CarpetTest/test/arraysizes/arr3.yzp
new file mode 100644
index 000000000..5729a9ff9
--- /dev/null
+++ b/Carpet/CarpetTest/test/arraysizes/arr3.yzp
@@ -0,0 +1,32 @@
+# CARPETTEST::arr3 y z (arr3)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 0 10101
+0 0 0 0 0 0 1 0 10201
+0 0 0 0 0 0 2 0 10301
+0 0 0 0 0 0 3 0 10401
+
+0 0 0 0 0 0 0 1 10102
+0 0 0 0 0 0 1 1 10202
+0 0 0 0 0 0 2 1 10302
+0 0 0 0 0 0 3 1 10402
+
+0 0 0 0 0 0 0 2 10103
+0 0 0 0 0 0 1 2 10203
+0 0 0 0 0 0 2 2 10303
+0 0 0 0 0 0 3 2 10403
+
+0 0 0 0 0 0 0 3 10104
+0 0 0 0 0 0 1 3 10204
+0 0 0 0 0 0 2 3 10304
+0 0 0 0 0 0 3 3 10404
+
+0 0 0 0 0 0 0 4 10105
+0 0 0 0 0 0 1 4 10205
+0 0 0 0 0 0 2 4 10305
+0 0 0 0 0 0 3 4 10405
+
+
+
diff --git a/Carpet/CarpetTest/test/arraysizes/arr3.zl b/Carpet/CarpetTest/test/arraysizes/arr3.zl
new file mode 100644
index 000000000..7e9b12ae5
--- /dev/null
+++ b/Carpet/CarpetTest/test/arraysizes/arr3.zl
@@ -0,0 +1,12 @@
+# CARPETTEST::arr3 z (arr3)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 0 10101
+0 0 0 0 0 0 0 1 10102
+0 0 0 0 0 0 0 2 10103
+0 0 0 0 0 0 0 3 10104
+0 0 0 0 0 0 0 4 10105
+
+
diff --git a/Carpet/CarpetTest/test/arraysizes/gf.xl b/Carpet/CarpetTest/test/arraysizes/gf.xl
new file mode 100644
index 000000000..158d50c67
--- /dev/null
+++ b/Carpet/CarpetTest/test/arraysizes/gf.xl
@@ -0,0 +1,17 @@
+# CARPETTEST::gf x (gf)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 0 10101
+0 0 0 0 0 1 0 0 20101
+0 0 0 0 0 2 0 0 30101
+0 0 0 0 0 3 0 0 40101
+0 0 0 0 0 4 0 0 50101
+0 0 0 0 0 5 0 0 60101
+0 0 0 0 0 6 0 0 70101
+0 0 0 0 0 7 0 0 80101
+0 0 0 0 0 8 0 0 90101
+0 0 0 0 0 9 0 0 100101
+
+
diff --git a/Carpet/CarpetTest/test/arraysizes/gf.xyp b/Carpet/CarpetTest/test/arraysizes/gf.xyp
new file mode 100644
index 000000000..0597a4bb3
--- /dev/null
+++ b/Carpet/CarpetTest/test/arraysizes/gf.xyp
@@ -0,0 +1,117 @@
+# CARPETTEST::gf x y (gf)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 0 10101
+0 0 0 0 0 1 0 0 20101
+0 0 0 0 0 2 0 0 30101
+0 0 0 0 0 3 0 0 40101
+0 0 0 0 0 4 0 0 50101
+0 0 0 0 0 5 0 0 60101
+0 0 0 0 0 6 0 0 70101
+0 0 0 0 0 7 0 0 80101
+0 0 0 0 0 8 0 0 90101
+0 0 0 0 0 9 0 0 100101
+
+0 0 0 0 0 0 1 0 10201
+0 0 0 0 0 1 1 0 20201
+0 0 0 0 0 2 1 0 30201
+0 0 0 0 0 3 1 0 40201
+0 0 0 0 0 4 1 0 50201
+0 0 0 0 0 5 1 0 60201
+0 0 0 0 0 6 1 0 70201
+0 0 0 0 0 7 1 0 80201
+0 0 0 0 0 8 1 0 90201
+0 0 0 0 0 9 1 0 100201
+
+0 0 0 0 0 0 2 0 10301
+0 0 0 0 0 1 2 0 20301
+0 0 0 0 0 2 2 0 30301
+0 0 0 0 0 3 2 0 40301
+0 0 0 0 0 4 2 0 50301
+0 0 0 0 0 5 2 0 60301
+0 0 0 0 0 6 2 0 70301
+0 0 0 0 0 7 2 0 80301
+0 0 0 0 0 8 2 0 90301
+0 0 0 0 0 9 2 0 100301
+
+0 0 0 0 0 0 3 0 10401
+0 0 0 0 0 1 3 0 20401
+0 0 0 0 0 2 3 0 30401
+0 0 0 0 0 3 3 0 40401
+0 0 0 0 0 4 3 0 50401
+0 0 0 0 0 5 3 0 60401
+0 0 0 0 0 6 3 0 70401
+0 0 0 0 0 7 3 0 80401
+0 0 0 0 0 8 3 0 90401
+0 0 0 0 0 9 3 0 100401
+
+0 0 0 0 0 0 4 0 10501
+0 0 0 0 0 1 4 0 20501
+0 0 0 0 0 2 4 0 30501
+0 0 0 0 0 3 4 0 40501
+0 0 0 0 0 4 4 0 50501
+0 0 0 0 0 5 4 0 60501
+0 0 0 0 0 6 4 0 70501
+0 0 0 0 0 7 4 0 80501
+0 0 0 0 0 8 4 0 90501
+0 0 0 0 0 9 4 0 100501
+
+0 0 0 0 0 0 5 0 10601
+0 0 0 0 0 1 5 0 20601
+0 0 0 0 0 2 5 0 30601
+0 0 0 0 0 3 5 0 40601
+0 0 0 0 0 4 5 0 50601
+0 0 0 0 0 5 5 0 60601
+0 0 0 0 0 6 5 0 70601
+0 0 0 0 0 7 5 0 80601
+0 0 0 0 0 8 5 0 90601
+0 0 0 0 0 9 5 0 100601
+
+0 0 0 0 0 0 6 0 10701
+0 0 0 0 0 1 6 0 20701
+0 0 0 0 0 2 6 0 30701
+0 0 0 0 0 3 6 0 40701
+0 0 0 0 0 4 6 0 50701
+0 0 0 0 0 5 6 0 60701
+0 0 0 0 0 6 6 0 70701
+0 0 0 0 0 7 6 0 80701
+0 0 0 0 0 8 6 0 90701
+0 0 0 0 0 9 6 0 100701
+
+0 0 0 0 0 0 7 0 10801
+0 0 0 0 0 1 7 0 20801
+0 0 0 0 0 2 7 0 30801
+0 0 0 0 0 3 7 0 40801
+0 0 0 0 0 4 7 0 50801
+0 0 0 0 0 5 7 0 60801
+0 0 0 0 0 6 7 0 70801
+0 0 0 0 0 7 7 0 80801
+0 0 0 0 0 8 7 0 90801
+0 0 0 0 0 9 7 0 100801
+
+0 0 0 0 0 0 8 0 10901
+0 0 0 0 0 1 8 0 20901
+0 0 0 0 0 2 8 0 30901
+0 0 0 0 0 3 8 0 40901
+0 0 0 0 0 4 8 0 50901
+0 0 0 0 0 5 8 0 60901
+0 0 0 0 0 6 8 0 70901
+0 0 0 0 0 7 8 0 80901
+0 0 0 0 0 8 8 0 90901
+0 0 0 0 0 9 8 0 100901
+
+0 0 0 0 0 0 9 0 11001
+0 0 0 0 0 1 9 0 21001
+0 0 0 0 0 2 9 0 31001
+0 0 0 0 0 3 9 0 41001
+0 0 0 0 0 4 9 0 51001
+0 0 0 0 0 5 9 0 61001
+0 0 0 0 0 6 9 0 71001
+0 0 0 0 0 7 9 0 81001
+0 0 0 0 0 8 9 0 91001
+0 0 0 0 0 9 9 0 101001
+
+
+
diff --git a/Carpet/CarpetTest/test/arraysizes/gf.xyzv b/Carpet/CarpetTest/test/arraysizes/gf.xyzv
new file mode 100644
index 000000000..b69cd8b78
--- /dev/null
+++ b/Carpet/CarpetTest/test/arraysizes/gf.xyzv
@@ -0,0 +1,1117 @@
+# CARPETTEST::gf x y z (gf)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 0 10101
+0 0 0 0 0 1 0 0 20101
+0 0 0 0 0 2 0 0 30101
+0 0 0 0 0 3 0 0 40101
+0 0 0 0 0 4 0 0 50101
+0 0 0 0 0 5 0 0 60101
+0 0 0 0 0 6 0 0 70101
+0 0 0 0 0 7 0 0 80101
+0 0 0 0 0 8 0 0 90101
+0 0 0 0 0 9 0 0 100101
+
+0 0 0 0 0 0 1 0 10201
+0 0 0 0 0 1 1 0 20201
+0 0 0 0 0 2 1 0 30201
+0 0 0 0 0 3 1 0 40201
+0 0 0 0 0 4 1 0 50201
+0 0 0 0 0 5 1 0 60201
+0 0 0 0 0 6 1 0 70201
+0 0 0 0 0 7 1 0 80201
+0 0 0 0 0 8 1 0 90201
+0 0 0 0 0 9 1 0 100201
+
+0 0 0 0 0 0 2 0 10301
+0 0 0 0 0 1 2 0 20301
+0 0 0 0 0 2 2 0 30301
+0 0 0 0 0 3 2 0 40301
+0 0 0 0 0 4 2 0 50301
+0 0 0 0 0 5 2 0 60301
+0 0 0 0 0 6 2 0 70301
+0 0 0 0 0 7 2 0 80301
+0 0 0 0 0 8 2 0 90301
+0 0 0 0 0 9 2 0 100301
+
+0 0 0 0 0 0 3 0 10401
+0 0 0 0 0 1 3 0 20401
+0 0 0 0 0 2 3 0 30401
+0 0 0 0 0 3 3 0 40401
+0 0 0 0 0 4 3 0 50401
+0 0 0 0 0 5 3 0 60401
+0 0 0 0 0 6 3 0 70401
+0 0 0 0 0 7 3 0 80401
+0 0 0 0 0 8 3 0 90401
+0 0 0 0 0 9 3 0 100401
+
+0 0 0 0 0 0 4 0 10501
+0 0 0 0 0 1 4 0 20501
+0 0 0 0 0 2 4 0 30501
+0 0 0 0 0 3 4 0 40501
+0 0 0 0 0 4 4 0 50501
+0 0 0 0 0 5 4 0 60501
+0 0 0 0 0 6 4 0 70501
+0 0 0 0 0 7 4 0 80501
+0 0 0 0 0 8 4 0 90501
+0 0 0 0 0 9 4 0 100501
+
+0 0 0 0 0 0 5 0 10601
+0 0 0 0 0 1 5 0 20601
+0 0 0 0 0 2 5 0 30601
+0 0 0 0 0 3 5 0 40601
+0 0 0 0 0 4 5 0 50601
+0 0 0 0 0 5 5 0 60601
+0 0 0 0 0 6 5 0 70601
+0 0 0 0 0 7 5 0 80601
+0 0 0 0 0 8 5 0 90601
+0 0 0 0 0 9 5 0 100601
+
+0 0 0 0 0 0 6 0 10701
+0 0 0 0 0 1 6 0 20701
+0 0 0 0 0 2 6 0 30701
+0 0 0 0 0 3 6 0 40701
+0 0 0 0 0 4 6 0 50701
+0 0 0 0 0 5 6 0 60701
+0 0 0 0 0 6 6 0 70701
+0 0 0 0 0 7 6 0 80701
+0 0 0 0 0 8 6 0 90701
+0 0 0 0 0 9 6 0 100701
+
+0 0 0 0 0 0 7 0 10801
+0 0 0 0 0 1 7 0 20801
+0 0 0 0 0 2 7 0 30801
+0 0 0 0 0 3 7 0 40801
+0 0 0 0 0 4 7 0 50801
+0 0 0 0 0 5 7 0 60801
+0 0 0 0 0 6 7 0 70801
+0 0 0 0 0 7 7 0 80801
+0 0 0 0 0 8 7 0 90801
+0 0 0 0 0 9 7 0 100801
+
+0 0 0 0 0 0 8 0 10901
+0 0 0 0 0 1 8 0 20901
+0 0 0 0 0 2 8 0 30901
+0 0 0 0 0 3 8 0 40901
+0 0 0 0 0 4 8 0 50901
+0 0 0 0 0 5 8 0 60901
+0 0 0 0 0 6 8 0 70901
+0 0 0 0 0 7 8 0 80901
+0 0 0 0 0 8 8 0 90901
+0 0 0 0 0 9 8 0 100901
+
+0 0 0 0 0 0 9 0 11001
+0 0 0 0 0 1 9 0 21001
+0 0 0 0 0 2 9 0 31001
+0 0 0 0 0 3 9 0 41001
+0 0 0 0 0 4 9 0 51001
+0 0 0 0 0 5 9 0 61001
+0 0 0 0 0 6 9 0 71001
+0 0 0 0 0 7 9 0 81001
+0 0 0 0 0 8 9 0 91001
+0 0 0 0 0 9 9 0 101001
+
+
+0 0 0 0 0 0 0 1 10102
+0 0 0 0 0 1 0 1 20102
+0 0 0 0 0 2 0 1 30102
+0 0 0 0 0 3 0 1 40102
+0 0 0 0 0 4 0 1 50102
+0 0 0 0 0 5 0 1 60102
+0 0 0 0 0 6 0 1 70102
+0 0 0 0 0 7 0 1 80102
+0 0 0 0 0 8 0 1 90102
+0 0 0 0 0 9 0 1 100102
+
+0 0 0 0 0 0 1 1 10202
+0 0 0 0 0 1 1 1 20202
+0 0 0 0 0 2 1 1 30202
+0 0 0 0 0 3 1 1 40202
+0 0 0 0 0 4 1 1 50202
+0 0 0 0 0 5 1 1 60202
+0 0 0 0 0 6 1 1 70202
+0 0 0 0 0 7 1 1 80202
+0 0 0 0 0 8 1 1 90202
+0 0 0 0 0 9 1 1 100202
+
+0 0 0 0 0 0 2 1 10302
+0 0 0 0 0 1 2 1 20302
+0 0 0 0 0 2 2 1 30302
+0 0 0 0 0 3 2 1 40302
+0 0 0 0 0 4 2 1 50302
+0 0 0 0 0 5 2 1 60302
+0 0 0 0 0 6 2 1 70302
+0 0 0 0 0 7 2 1 80302
+0 0 0 0 0 8 2 1 90302
+0 0 0 0 0 9 2 1 100302
+
+0 0 0 0 0 0 3 1 10402
+0 0 0 0 0 1 3 1 20402
+0 0 0 0 0 2 3 1 30402
+0 0 0 0 0 3 3 1 40402
+0 0 0 0 0 4 3 1 50402
+0 0 0 0 0 5 3 1 60402
+0 0 0 0 0 6 3 1 70402
+0 0 0 0 0 7 3 1 80402
+0 0 0 0 0 8 3 1 90402
+0 0 0 0 0 9 3 1 100402
+
+0 0 0 0 0 0 4 1 10502
+0 0 0 0 0 1 4 1 20502
+0 0 0 0 0 2 4 1 30502
+0 0 0 0 0 3 4 1 40502
+0 0 0 0 0 4 4 1 50502
+0 0 0 0 0 5 4 1 60502
+0 0 0 0 0 6 4 1 70502
+0 0 0 0 0 7 4 1 80502
+0 0 0 0 0 8 4 1 90502
+0 0 0 0 0 9 4 1 100502
+
+0 0 0 0 0 0 5 1 10602
+0 0 0 0 0 1 5 1 20602
+0 0 0 0 0 2 5 1 30602
+0 0 0 0 0 3 5 1 40602
+0 0 0 0 0 4 5 1 50602
+0 0 0 0 0 5 5 1 60602
+0 0 0 0 0 6 5 1 70602
+0 0 0 0 0 7 5 1 80602
+0 0 0 0 0 8 5 1 90602
+0 0 0 0 0 9 5 1 100602
+
+0 0 0 0 0 0 6 1 10702
+0 0 0 0 0 1 6 1 20702
+0 0 0 0 0 2 6 1 30702
+0 0 0 0 0 3 6 1 40702
+0 0 0 0 0 4 6 1 50702
+0 0 0 0 0 5 6 1 60702
+0 0 0 0 0 6 6 1 70702
+0 0 0 0 0 7 6 1 80702
+0 0 0 0 0 8 6 1 90702
+0 0 0 0 0 9 6 1 100702
+
+0 0 0 0 0 0 7 1 10802
+0 0 0 0 0 1 7 1 20802
+0 0 0 0 0 2 7 1 30802
+0 0 0 0 0 3 7 1 40802
+0 0 0 0 0 4 7 1 50802
+0 0 0 0 0 5 7 1 60802
+0 0 0 0 0 6 7 1 70802
+0 0 0 0 0 7 7 1 80802
+0 0 0 0 0 8 7 1 90802
+0 0 0 0 0 9 7 1 100802
+
+0 0 0 0 0 0 8 1 10902
+0 0 0 0 0 1 8 1 20902
+0 0 0 0 0 2 8 1 30902
+0 0 0 0 0 3 8 1 40902
+0 0 0 0 0 4 8 1 50902
+0 0 0 0 0 5 8 1 60902
+0 0 0 0 0 6 8 1 70902
+0 0 0 0 0 7 8 1 80902
+0 0 0 0 0 8 8 1 90902
+0 0 0 0 0 9 8 1 100902
+
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+0 0 0 0 0 2 0 8 30109
+0 0 0 0 0 3 0 8 40109
+0 0 0 0 0 4 0 8 50109
+0 0 0 0 0 5 0 8 60109
+0 0 0 0 0 6 0 8 70109
+0 0 0 0 0 7 0 8 80109
+0 0 0 0 0 8 0 8 90109
+0 0 0 0 0 9 0 8 100109
+
+0 0 0 0 0 0 1 8 10209
+0 0 0 0 0 1 1 8 20209
+0 0 0 0 0 2 1 8 30209
+0 0 0 0 0 3 1 8 40209
+0 0 0 0 0 4 1 8 50209
+0 0 0 0 0 5 1 8 60209
+0 0 0 0 0 6 1 8 70209
+0 0 0 0 0 7 1 8 80209
+0 0 0 0 0 8 1 8 90209
+0 0 0 0 0 9 1 8 100209
+
+0 0 0 0 0 0 2 8 10309
+0 0 0 0 0 1 2 8 20309
+0 0 0 0 0 2 2 8 30309
+0 0 0 0 0 3 2 8 40309
+0 0 0 0 0 4 2 8 50309
+0 0 0 0 0 5 2 8 60309
+0 0 0 0 0 6 2 8 70309
+0 0 0 0 0 7 2 8 80309
+0 0 0 0 0 8 2 8 90309
+0 0 0 0 0 9 2 8 100309
+
+0 0 0 0 0 0 3 8 10409
+0 0 0 0 0 1 3 8 20409
+0 0 0 0 0 2 3 8 30409
+0 0 0 0 0 3 3 8 40409
+0 0 0 0 0 4 3 8 50409
+0 0 0 0 0 5 3 8 60409
+0 0 0 0 0 6 3 8 70409
+0 0 0 0 0 7 3 8 80409
+0 0 0 0 0 8 3 8 90409
+0 0 0 0 0 9 3 8 100409
+
+0 0 0 0 0 0 4 8 10509
+0 0 0 0 0 1 4 8 20509
+0 0 0 0 0 2 4 8 30509
+0 0 0 0 0 3 4 8 40509
+0 0 0 0 0 4 4 8 50509
+0 0 0 0 0 5 4 8 60509
+0 0 0 0 0 6 4 8 70509
+0 0 0 0 0 7 4 8 80509
+0 0 0 0 0 8 4 8 90509
+0 0 0 0 0 9 4 8 100509
+
+0 0 0 0 0 0 5 8 10609
+0 0 0 0 0 1 5 8 20609
+0 0 0 0 0 2 5 8 30609
+0 0 0 0 0 3 5 8 40609
+0 0 0 0 0 4 5 8 50609
+0 0 0 0 0 5 5 8 60609
+0 0 0 0 0 6 5 8 70609
+0 0 0 0 0 7 5 8 80609
+0 0 0 0 0 8 5 8 90609
+0 0 0 0 0 9 5 8 100609
+
+0 0 0 0 0 0 6 8 10709
+0 0 0 0 0 1 6 8 20709
+0 0 0 0 0 2 6 8 30709
+0 0 0 0 0 3 6 8 40709
+0 0 0 0 0 4 6 8 50709
+0 0 0 0 0 5 6 8 60709
+0 0 0 0 0 6 6 8 70709
+0 0 0 0 0 7 6 8 80709
+0 0 0 0 0 8 6 8 90709
+0 0 0 0 0 9 6 8 100709
+
+0 0 0 0 0 0 7 8 10809
+0 0 0 0 0 1 7 8 20809
+0 0 0 0 0 2 7 8 30809
+0 0 0 0 0 3 7 8 40809
+0 0 0 0 0 4 7 8 50809
+0 0 0 0 0 5 7 8 60809
+0 0 0 0 0 6 7 8 70809
+0 0 0 0 0 7 7 8 80809
+0 0 0 0 0 8 7 8 90809
+0 0 0 0 0 9 7 8 100809
+
+0 0 0 0 0 0 8 8 10909
+0 0 0 0 0 1 8 8 20909
+0 0 0 0 0 2 8 8 30909
+0 0 0 0 0 3 8 8 40909
+0 0 0 0 0 4 8 8 50909
+0 0 0 0 0 5 8 8 60909
+0 0 0 0 0 6 8 8 70909
+0 0 0 0 0 7 8 8 80909
+0 0 0 0 0 8 8 8 90909
+0 0 0 0 0 9 8 8 100909
+
+0 0 0 0 0 0 9 8 11009
+0 0 0 0 0 1 9 8 21009
+0 0 0 0 0 2 9 8 31009
+0 0 0 0 0 3 9 8 41009
+0 0 0 0 0 4 9 8 51009
+0 0 0 0 0 5 9 8 61009
+0 0 0 0 0 6 9 8 71009
+0 0 0 0 0 7 9 8 81009
+0 0 0 0 0 8 9 8 91009
+0 0 0 0 0 9 9 8 101009
+
+
+0 0 0 0 0 0 0 9 10110
+0 0 0 0 0 1 0 9 20110
+0 0 0 0 0 2 0 9 30110
+0 0 0 0 0 3 0 9 40110
+0 0 0 0 0 4 0 9 50110
+0 0 0 0 0 5 0 9 60110
+0 0 0 0 0 6 0 9 70110
+0 0 0 0 0 7 0 9 80110
+0 0 0 0 0 8 0 9 90110
+0 0 0 0 0 9 0 9 100110
+
+0 0 0 0 0 0 1 9 10210
+0 0 0 0 0 1 1 9 20210
+0 0 0 0 0 2 1 9 30210
+0 0 0 0 0 3 1 9 40210
+0 0 0 0 0 4 1 9 50210
+0 0 0 0 0 5 1 9 60210
+0 0 0 0 0 6 1 9 70210
+0 0 0 0 0 7 1 9 80210
+0 0 0 0 0 8 1 9 90210
+0 0 0 0 0 9 1 9 100210
+
+0 0 0 0 0 0 2 9 10310
+0 0 0 0 0 1 2 9 20310
+0 0 0 0 0 2 2 9 30310
+0 0 0 0 0 3 2 9 40310
+0 0 0 0 0 4 2 9 50310
+0 0 0 0 0 5 2 9 60310
+0 0 0 0 0 6 2 9 70310
+0 0 0 0 0 7 2 9 80310
+0 0 0 0 0 8 2 9 90310
+0 0 0 0 0 9 2 9 100310
+
+0 0 0 0 0 0 3 9 10410
+0 0 0 0 0 1 3 9 20410
+0 0 0 0 0 2 3 9 30410
+0 0 0 0 0 3 3 9 40410
+0 0 0 0 0 4 3 9 50410
+0 0 0 0 0 5 3 9 60410
+0 0 0 0 0 6 3 9 70410
+0 0 0 0 0 7 3 9 80410
+0 0 0 0 0 8 3 9 90410
+0 0 0 0 0 9 3 9 100410
+
+0 0 0 0 0 0 4 9 10510
+0 0 0 0 0 1 4 9 20510
+0 0 0 0 0 2 4 9 30510
+0 0 0 0 0 3 4 9 40510
+0 0 0 0 0 4 4 9 50510
+0 0 0 0 0 5 4 9 60510
+0 0 0 0 0 6 4 9 70510
+0 0 0 0 0 7 4 9 80510
+0 0 0 0 0 8 4 9 90510
+0 0 0 0 0 9 4 9 100510
+
+0 0 0 0 0 0 5 9 10610
+0 0 0 0 0 1 5 9 20610
+0 0 0 0 0 2 5 9 30610
+0 0 0 0 0 3 5 9 40610
+0 0 0 0 0 4 5 9 50610
+0 0 0 0 0 5 5 9 60610
+0 0 0 0 0 6 5 9 70610
+0 0 0 0 0 7 5 9 80610
+0 0 0 0 0 8 5 9 90610
+0 0 0 0 0 9 5 9 100610
+
+0 0 0 0 0 0 6 9 10710
+0 0 0 0 0 1 6 9 20710
+0 0 0 0 0 2 6 9 30710
+0 0 0 0 0 3 6 9 40710
+0 0 0 0 0 4 6 9 50710
+0 0 0 0 0 5 6 9 60710
+0 0 0 0 0 6 6 9 70710
+0 0 0 0 0 7 6 9 80710
+0 0 0 0 0 8 6 9 90710
+0 0 0 0 0 9 6 9 100710
+
+0 0 0 0 0 0 7 9 10810
+0 0 0 0 0 1 7 9 20810
+0 0 0 0 0 2 7 9 30810
+0 0 0 0 0 3 7 9 40810
+0 0 0 0 0 4 7 9 50810
+0 0 0 0 0 5 7 9 60810
+0 0 0 0 0 6 7 9 70810
+0 0 0 0 0 7 7 9 80810
+0 0 0 0 0 8 7 9 90810
+0 0 0 0 0 9 7 9 100810
+
+0 0 0 0 0 0 8 9 10910
+0 0 0 0 0 1 8 9 20910
+0 0 0 0 0 2 8 9 30910
+0 0 0 0 0 3 8 9 40910
+0 0 0 0 0 4 8 9 50910
+0 0 0 0 0 5 8 9 60910
+0 0 0 0 0 6 8 9 70910
+0 0 0 0 0 7 8 9 80910
+0 0 0 0 0 8 8 9 90910
+0 0 0 0 0 9 8 9 100910
+
+0 0 0 0 0 0 9 9 11010
+0 0 0 0 0 1 9 9 21010
+0 0 0 0 0 2 9 9 31010
+0 0 0 0 0 3 9 9 41010
+0 0 0 0 0 4 9 9 51010
+0 0 0 0 0 5 9 9 61010
+0 0 0 0 0 6 9 9 71010
+0 0 0 0 0 7 9 9 81010
+0 0 0 0 0 8 9 9 91010
+0 0 0 0 0 9 9 9 101010
+
+
+
+
diff --git a/Carpet/CarpetTest/test/arraysizes/gf.xzp b/Carpet/CarpetTest/test/arraysizes/gf.xzp
new file mode 100644
index 000000000..d1389962b
--- /dev/null
+++ b/Carpet/CarpetTest/test/arraysizes/gf.xzp
@@ -0,0 +1,117 @@
+# CARPETTEST::gf x z (gf)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 0 10101
+0 0 0 0 0 1 0 0 20101
+0 0 0 0 0 2 0 0 30101
+0 0 0 0 0 3 0 0 40101
+0 0 0 0 0 4 0 0 50101
+0 0 0 0 0 5 0 0 60101
+0 0 0 0 0 6 0 0 70101
+0 0 0 0 0 7 0 0 80101
+0 0 0 0 0 8 0 0 90101
+0 0 0 0 0 9 0 0 100101
+
+0 0 0 0 0 0 0 1 10102
+0 0 0 0 0 1 0 1 20102
+0 0 0 0 0 2 0 1 30102
+0 0 0 0 0 3 0 1 40102
+0 0 0 0 0 4 0 1 50102
+0 0 0 0 0 5 0 1 60102
+0 0 0 0 0 6 0 1 70102
+0 0 0 0 0 7 0 1 80102
+0 0 0 0 0 8 0 1 90102
+0 0 0 0 0 9 0 1 100102
+
+0 0 0 0 0 0 0 2 10103
+0 0 0 0 0 1 0 2 20103
+0 0 0 0 0 2 0 2 30103
+0 0 0 0 0 3 0 2 40103
+0 0 0 0 0 4 0 2 50103
+0 0 0 0 0 5 0 2 60103
+0 0 0 0 0 6 0 2 70103
+0 0 0 0 0 7 0 2 80103
+0 0 0 0 0 8 0 2 90103
+0 0 0 0 0 9 0 2 100103
+
+0 0 0 0 0 0 0 3 10104
+0 0 0 0 0 1 0 3 20104
+0 0 0 0 0 2 0 3 30104
+0 0 0 0 0 3 0 3 40104
+0 0 0 0 0 4 0 3 50104
+0 0 0 0 0 5 0 3 60104
+0 0 0 0 0 6 0 3 70104
+0 0 0 0 0 7 0 3 80104
+0 0 0 0 0 8 0 3 90104
+0 0 0 0 0 9 0 3 100104
+
+0 0 0 0 0 0 0 4 10105
+0 0 0 0 0 1 0 4 20105
+0 0 0 0 0 2 0 4 30105
+0 0 0 0 0 3 0 4 40105
+0 0 0 0 0 4 0 4 50105
+0 0 0 0 0 5 0 4 60105
+0 0 0 0 0 6 0 4 70105
+0 0 0 0 0 7 0 4 80105
+0 0 0 0 0 8 0 4 90105
+0 0 0 0 0 9 0 4 100105
+
+0 0 0 0 0 0 0 5 10106
+0 0 0 0 0 1 0 5 20106
+0 0 0 0 0 2 0 5 30106
+0 0 0 0 0 3 0 5 40106
+0 0 0 0 0 4 0 5 50106
+0 0 0 0 0 5 0 5 60106
+0 0 0 0 0 6 0 5 70106
+0 0 0 0 0 7 0 5 80106
+0 0 0 0 0 8 0 5 90106
+0 0 0 0 0 9 0 5 100106
+
+0 0 0 0 0 0 0 6 10107
+0 0 0 0 0 1 0 6 20107
+0 0 0 0 0 2 0 6 30107
+0 0 0 0 0 3 0 6 40107
+0 0 0 0 0 4 0 6 50107
+0 0 0 0 0 5 0 6 60107
+0 0 0 0 0 6 0 6 70107
+0 0 0 0 0 7 0 6 80107
+0 0 0 0 0 8 0 6 90107
+0 0 0 0 0 9 0 6 100107
+
+0 0 0 0 0 0 0 7 10108
+0 0 0 0 0 1 0 7 20108
+0 0 0 0 0 2 0 7 30108
+0 0 0 0 0 3 0 7 40108
+0 0 0 0 0 4 0 7 50108
+0 0 0 0 0 5 0 7 60108
+0 0 0 0 0 6 0 7 70108
+0 0 0 0 0 7 0 7 80108
+0 0 0 0 0 8 0 7 90108
+0 0 0 0 0 9 0 7 100108
+
+0 0 0 0 0 0 0 8 10109
+0 0 0 0 0 1 0 8 20109
+0 0 0 0 0 2 0 8 30109
+0 0 0 0 0 3 0 8 40109
+0 0 0 0 0 4 0 8 50109
+0 0 0 0 0 5 0 8 60109
+0 0 0 0 0 6 0 8 70109
+0 0 0 0 0 7 0 8 80109
+0 0 0 0 0 8 0 8 90109
+0 0 0 0 0 9 0 8 100109
+
+0 0 0 0 0 0 0 9 10110
+0 0 0 0 0 1 0 9 20110
+0 0 0 0 0 2 0 9 30110
+0 0 0 0 0 3 0 9 40110
+0 0 0 0 0 4 0 9 50110
+0 0 0 0 0 5 0 9 60110
+0 0 0 0 0 6 0 9 70110
+0 0 0 0 0 7 0 9 80110
+0 0 0 0 0 8 0 9 90110
+0 0 0 0 0 9 0 9 100110
+
+
+
diff --git a/Carpet/CarpetTest/test/arraysizes/gf.yl b/Carpet/CarpetTest/test/arraysizes/gf.yl
new file mode 100644
index 000000000..4a6518845
--- /dev/null
+++ b/Carpet/CarpetTest/test/arraysizes/gf.yl
@@ -0,0 +1,17 @@
+# CARPETTEST::gf y (gf)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 0 10101
+0 0 0 0 0 0 1 0 10201
+0 0 0 0 0 0 2 0 10301
+0 0 0 0 0 0 3 0 10401
+0 0 0 0 0 0 4 0 10501
+0 0 0 0 0 0 5 0 10601
+0 0 0 0 0 0 6 0 10701
+0 0 0 0 0 0 7 0 10801
+0 0 0 0 0 0 8 0 10901
+0 0 0 0 0 0 9 0 11001
+
+
diff --git a/Carpet/CarpetTest/test/arraysizes/gf.yzp b/Carpet/CarpetTest/test/arraysizes/gf.yzp
new file mode 100644
index 000000000..0ae900432
--- /dev/null
+++ b/Carpet/CarpetTest/test/arraysizes/gf.yzp
@@ -0,0 +1,117 @@
+# CARPETTEST::gf y z (gf)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 0 10101
+0 0 0 0 0 0 1 0 10201
+0 0 0 0 0 0 2 0 10301
+0 0 0 0 0 0 3 0 10401
+0 0 0 0 0 0 4 0 10501
+0 0 0 0 0 0 5 0 10601
+0 0 0 0 0 0 6 0 10701
+0 0 0 0 0 0 7 0 10801
+0 0 0 0 0 0 8 0 10901
+0 0 0 0 0 0 9 0 11001
+
+0 0 0 0 0 0 0 1 10102
+0 0 0 0 0 0 1 1 10202
+0 0 0 0 0 0 2 1 10302
+0 0 0 0 0 0 3 1 10402
+0 0 0 0 0 0 4 1 10502
+0 0 0 0 0 0 5 1 10602
+0 0 0 0 0 0 6 1 10702
+0 0 0 0 0 0 7 1 10802
+0 0 0 0 0 0 8 1 10902
+0 0 0 0 0 0 9 1 11002
+
+0 0 0 0 0 0 0 2 10103
+0 0 0 0 0 0 1 2 10203
+0 0 0 0 0 0 2 2 10303
+0 0 0 0 0 0 3 2 10403
+0 0 0 0 0 0 4 2 10503
+0 0 0 0 0 0 5 2 10603
+0 0 0 0 0 0 6 2 10703
+0 0 0 0 0 0 7 2 10803
+0 0 0 0 0 0 8 2 10903
+0 0 0 0 0 0 9 2 11003
+
+0 0 0 0 0 0 0 3 10104
+0 0 0 0 0 0 1 3 10204
+0 0 0 0 0 0 2 3 10304
+0 0 0 0 0 0 3 3 10404
+0 0 0 0 0 0 4 3 10504
+0 0 0 0 0 0 5 3 10604
+0 0 0 0 0 0 6 3 10704
+0 0 0 0 0 0 7 3 10804
+0 0 0 0 0 0 8 3 10904
+0 0 0 0 0 0 9 3 11004
+
+0 0 0 0 0 0 0 4 10105
+0 0 0 0 0 0 1 4 10205
+0 0 0 0 0 0 2 4 10305
+0 0 0 0 0 0 3 4 10405
+0 0 0 0 0 0 4 4 10505
+0 0 0 0 0 0 5 4 10605
+0 0 0 0 0 0 6 4 10705
+0 0 0 0 0 0 7 4 10805
+0 0 0 0 0 0 8 4 10905
+0 0 0 0 0 0 9 4 11005
+
+0 0 0 0 0 0 0 5 10106
+0 0 0 0 0 0 1 5 10206
+0 0 0 0 0 0 2 5 10306
+0 0 0 0 0 0 3 5 10406
+0 0 0 0 0 0 4 5 10506
+0 0 0 0 0 0 5 5 10606
+0 0 0 0 0 0 6 5 10706
+0 0 0 0 0 0 7 5 10806
+0 0 0 0 0 0 8 5 10906
+0 0 0 0 0 0 9 5 11006
+
+0 0 0 0 0 0 0 6 10107
+0 0 0 0 0 0 1 6 10207
+0 0 0 0 0 0 2 6 10307
+0 0 0 0 0 0 3 6 10407
+0 0 0 0 0 0 4 6 10507
+0 0 0 0 0 0 5 6 10607
+0 0 0 0 0 0 6 6 10707
+0 0 0 0 0 0 7 6 10807
+0 0 0 0 0 0 8 6 10907
+0 0 0 0 0 0 9 6 11007
+
+0 0 0 0 0 0 0 7 10108
+0 0 0 0 0 0 1 7 10208
+0 0 0 0 0 0 2 7 10308
+0 0 0 0 0 0 3 7 10408
+0 0 0 0 0 0 4 7 10508
+0 0 0 0 0 0 5 7 10608
+0 0 0 0 0 0 6 7 10708
+0 0 0 0 0 0 7 7 10808
+0 0 0 0 0 0 8 7 10908
+0 0 0 0 0 0 9 7 11008
+
+0 0 0 0 0 0 0 8 10109
+0 0 0 0 0 0 1 8 10209
+0 0 0 0 0 0 2 8 10309
+0 0 0 0 0 0 3 8 10409
+0 0 0 0 0 0 4 8 10509
+0 0 0 0 0 0 5 8 10609
+0 0 0 0 0 0 6 8 10709
+0 0 0 0 0 0 7 8 10809
+0 0 0 0 0 0 8 8 10909
+0 0 0 0 0 0 9 8 11009
+
+0 0 0 0 0 0 0 9 10110
+0 0 0 0 0 0 1 9 10210
+0 0 0 0 0 0 2 9 10310
+0 0 0 0 0 0 3 9 10410
+0 0 0 0 0 0 4 9 10510
+0 0 0 0 0 0 5 9 10610
+0 0 0 0 0 0 6 9 10710
+0 0 0 0 0 0 7 9 10810
+0 0 0 0 0 0 8 9 10910
+0 0 0 0 0 0 9 9 11010
+
+
+
diff --git a/Carpet/CarpetTest/test/arraysizes/gf.zl b/Carpet/CarpetTest/test/arraysizes/gf.zl
new file mode 100644
index 000000000..9c2434cc5
--- /dev/null
+++ b/Carpet/CarpetTest/test/arraysizes/gf.zl
@@ -0,0 +1,17 @@
+# CARPETTEST::gf z (gf)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 0 10101
+0 0 0 0 0 0 0 1 10102
+0 0 0 0 0 0 0 2 10103
+0 0 0 0 0 0 0 3 10104
+0 0 0 0 0 0 0 4 10105
+0 0 0 0 0 0 0 5 10106
+0 0 0 0 0 0 0 6 10107
+0 0 0 0 0 0 0 7 10108
+0 0 0 0 0 0 0 8 10109
+0 0 0 0 0 0 0 9 10110
+
+
diff --git a/Carpet/CarpetTest/test/arraysizes/sc.xl b/Carpet/CarpetTest/test/arraysizes/sc.xl
new file mode 100644
index 000000000..1cdac03cf
--- /dev/null
+++ b/Carpet/CarpetTest/test/arraysizes/sc.xl
@@ -0,0 +1,8 @@
+# CARPETTEST::sc x (sc)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 0 42
+
+
diff --git a/Carpet/CarpetWeb/CarpetMonth/index.html b/Carpet/CarpetWeb/CarpetMonth/index.html
new file mode 100644
index 000000000..b967aacfb
--- /dev/null
+++ b/Carpet/CarpetWeb/CarpetMonth/index.html
@@ -0,0 +1,340 @@
+<?xml version="1.0" encoding="ISO-8859-15"?>
+<!DOCTYPE html
+ PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
+ "DTD/xhtml1-strict.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en">
+ <head>
+ <meta http-equiv="Content-Type" content="text/html; charset=iso-8859-15" />
+ <title>Carpet Month</title>
+ </head>
+
+ <body>
+ <h1>Carpet Month</h1>
+
+ <hr />
+
+
+
+<h2>Items on the agenda during Carpet Month</h2>
+
+<h3>Physics done</h3>
+
+<ol>
+ <li>Periodic boundaries</li>
+ <li>Robust stability</li>
+ <li>Coordinates and symmetry conditions</li>
+ <li>Vector grid functions (worked all the time)</li>
+ <li>"Universal" mode (now called "global mode" and "level mode")</li>
+</ol>
+
+
+
+<h3>Physics in the works</h3>
+
+<ol>
+ <li><b>Documentation</b></li>
+ <li>Gauge wave (travelling)</li>
+ <li>Binary black holes</li>
+ <li>Convergence tests in GR</li>
+ <li>Scalar fields (with Francisco)</li>
+ <li>Interpolator</li>
+ <li>Checkpoint / restart</li>
+ <li>Excision</li>
+</ol>
+
+
+
+<h3>Physics to be done</h3>
+
+<ol>
+ <li>Compile and run on
+ <ul>
+ <li>Platinum</li>
+ <li>Titan</li>
+ <li>Peyote</li>
+ <li>Lemieux</li>
+ <li>Loslobos</li>
+ <li>Seaborg</li>
+ <li>psi</li>
+ <li>Hitachi</li>
+ <li>OSX Darwin 6.5</li>
+ </ul></li>
+ <li>Parallel performance</li>
+ <li>Testsuites</li>
+</ol>
+
+
+
+<h3>Physics to dream about</h3>
+
+<ol>
+ <li>Other gauge waves</li>
+ <li>Brill waves (requires elliptic solver)</li>
+ <li>Basic hydro (requires prolongation operators)</li>
+ <li>Output formats</li>
+ <li>FlexIO</li>
+ <li>Viz methods</li>
+ <li>Elliptic solvers</li>
+ <li>Cell centering</li>
+ <li>Reduction operators</li>
+ <li>Prolongation operators</li>
+ <li>Progressive FMR</li>
+ <li>AMR</li>
+ <li>Automatic convergence testing</li>
+ <li>User friendliness</li>
+ <li>Compile Carpet + AHFinderDirect + Lorene together.</li>
+ <li>Custom refinement</li>
+ <li>Callbacks
+ <ul>
+ <li>when creating a new grid</li>
+ <li>after SYNCing</li>
+ </ul></li>
+</ol>
+
+
+
+<h3>People to work on this</h3>
+
+<ul>
+ <li>Erik Schnetter</li>
+ <li>Jonathan Thornburg</li>
+ <li>Ian Hawke</li>
+ <li>Thomas Radke</li>
+ <li>Scott Hawley <b>(away)</b></li>
+ <li>Christian Ott <b>(away)</b></li>
+ <li>Werner Benger</li>
+ <li>Ralf Kähler</li>
+</ul>
+
+
+
+<h3>Tentative schedule with people (outdated):</h3>
+
+<table>
+
+ <tr>
+ <td>
+ <b>Priority</b> (1-3)
+ </td>
+ <td>
+ <b>Topic</b>
+ </td>
+ <td>
+ <b>When</b> (Start, duration)
+ </td>
+ <td>
+ <b>Who</b>
+ </td>
+ </tr>
+
+ <tr>
+ <td>
+ <b>1</b>
+
+ </td>
+ <td>
+ Documentation
+ </td>
+ <td>
+ Ongoing, from the beginning
+ </td>
+ <td>
+ ES, IH, JT
+ </td>
+ </tr>
+
+ <tr>
+ <td>
+ 2
+ </td>
+ <td>
+ Interpolator
+ </td>
+ <td>
+ Simple version: from start, 2 weeks.
+ </td>
+ <td>
+ ES, JT, TR
+ </td>
+ </tr>
+
+ <tr>
+ <td>
+ 2
+ </td>
+ <td>
+ Compile on various platforms
+ </td>
+ <td>
+ From 1 week ongoing
+ </td>
+ <td>
+ ES, IH, SH, CO, PD, JT, ...
+ </td>
+ </tr>
+
+ <tr>
+ <td>
+ 2
+ </td>
+ <td>
+ Testsuites
+ </td>
+ <td>
+ From 2 weeks
+ </td>
+ <td>
+ Everybody
+ </td>
+ </tr>
+
+ <tr>
+ <td>
+ 3
+ </td>
+ <td>
+ Checkpoint / restart
+ </td>
+ <td>
+ Simple version: from start, 2 weeks (max).
+ </td>
+ <td>
+ ES, TR, IH
+ </td>
+ </tr>
+
+ <tr>
+ <td>
+ 3
+ </td>
+ <td>
+
+ </td>
+ <td>
+ Parallel version: from 2 weeks, ongoing.
+ </td>
+ <td>
+ ES, TR, JS?, WB?, RK?
+ </td>
+ </tr>
+
+ <tr>
+ <td>
+ 3
+ </td>
+ <td>
+ FlexIO / output / Viz
+ </td>
+ <td>
+ From 1 week ongoing
+ </td>
+ <td>
+ ES, TR, JS, WB, RK, ...
+ </td>
+ </tr>
+
+ <tr>
+ <td>
+ 3
+ </td>
+ <td>
+ Elliptic solvers
+ </td>
+ <td>
+ Ongoing
+ </td>
+ <td>
+ ES, JT, SH, PD, DP, IH, ...
+ </td>
+ </tr>
+
+ <tr>
+ <td>
+ 3
+ </td>
+ <td>
+ Parallel performance
+ </td>
+ <td>
+ From 2 weeks, ongoing
+ </td>
+ <td>
+ ES, SH, IH, TR, ...?
+ </td>
+ </tr>
+
+ <tr>
+ <td>
+ 3
+ </td>
+ <td>
+ Prolongation operators
+ </td>
+ <td>
+ Ongoing (shouldn't take long)
+ </td>
+ <td>
+ ES, IH, ...
+ </td>
+ </tr>
+
+ <tr>
+ <td>
+ 3
+ </td>
+ <td>
+ Remove no-op warnings (e.g., prolongation of INT GF's)
+ </td>
+ <td>
+ Ongoing
+ </td>
+ <td>
+ ES, ...
+ </td>
+ </tr>
+
+ <tr>
+ <td>
+ 3
+ </td>
+ <td>
+ Vector grid functions
+ </td>
+ <td>
+ From 1 week (shouldn't take long)
+ </td>
+ <td>
+ ES, IH, ...
+ </td>
+ </tr>
+
+ <tr>
+ <td>
+ 3
+ </td>
+ <td>
+ Excision
+ </td>
+ <td>
+ From 2 weeks (shouldn't take long)
+ </td>
+ <td>
+ ES, IH, DP, JT, ...
+ </td>
+ </tr>
+
+</table>
+
+
+
+ <hr />
+ <a href="http://www.carpetcode.org/">[Go to carpetcode.org]</a>
+ <address><a href="mailto:schnetter@uni-tuebingen.de">Erik Schnetter</a></address>
+<p>
+<!-- Created: Wed Sep 6 20:44:31 EDT 2000 -->
+<!-- hhmts start -->
+Last modified: Tue Aug 12 22:31:42 CEST 2003
+<!-- hhmts end -->
+</p>
+ </body>
+</html>
diff --git a/Carpet/CarpetWeb/Makefile b/Carpet/CarpetWeb/Makefile
new file mode 100644
index 000000000..fbbe2dcaf
--- /dev/null
+++ b/Carpet/CarpetWeb/Makefile
@@ -0,0 +1,6 @@
+all:
+
+sync:
+ rsync -a -v -z --exclude "*~" --exclude doxygen --delete -e ssh ./ carpet@www.carpetcode.org:www.carpetcode.org/htdocs
+
+.PSEUDO: all sync
diff --git a/Carpet/CarpetWeb/bugs.html b/Carpet/CarpetWeb/bugs.html
new file mode 100644
index 000000000..f0eeb609a
--- /dev/null
+++ b/Carpet/CarpetWeb/bugs.html
@@ -0,0 +1,47 @@
+<?xml version="1.0" encoding="ISO-8859-15"?>
+<!DOCTYPE html
+ PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
+ "DTD/xhtml1-strict.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en">
+ <head>
+ <meta http-equiv="Content-Type" content="text/html; charset=iso-8859-15" />
+ <title>Bugs in the Carpet</title>
+ </head>
+
+ <body>
+ <h1>Bugs in the Carpet</h1>
+
+ <p>As Carpet is being looked at (and used?) by more and more
+ people, they find more and more things that don't work as
+ expected, or are plain broken. We want to correct these. Here is
+ a list of the currently known problems.</p>
+
+ <ul>
+ <li>Vector grid functions are not contiguous in memory</li>
+ </ul>
+
+ <hr />
+
+ <p>
+ <a href="http://www.xemacs.org/About/created.html"><img
+ src="cbxSmall.jpg" alt="Created with XEmacs!" height="36"
+ width="100" /></a>
+
+ <a href="http://www.anybrowser.org/campaign/"><img
+ src="logoab8.png" alt="Best Viewed With Any Browser" height="31"
+ width="88" /></a>
+
+ <a href="http://validator.w3.org/check/referer"><img
+ src="valid-xhtml10.png" alt="Valid XHTML 1.0!" height="31"
+ width="88" /></a>
+ </p>
+
+ <address><a href="mailto:schnetter@uni-tuebingen.de">Erik Schnetter</a></address>
+<p>
+<!-- Created: Thu Aug 14 20:16:15 CEST 2003 -->
+<!-- hhmts start -->
+Last modified: Thu Aug 14 20:38:08 CEST 2003
+<!-- hhmts end -->
+</p>
+ </body>
+</html>
diff --git a/Carpet/CarpetWeb/cbxSmall.jpg b/Carpet/CarpetWeb/cbxSmall.jpg
new file mode 100644
index 000000000..d7291c3fb
--- /dev/null
+++ b/Carpet/CarpetWeb/cbxSmall.jpg
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diff --git a/Carpet/CarpetWeb/doc/documentation.ps b/Carpet/CarpetWeb/doc/documentation.ps
new file mode 100644
index 000000000..4eb199555
--- /dev/null
+++ b/Carpet/CarpetWeb/doc/documentation.ps
@@ -0,0 +1,5526 @@
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+% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
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+% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
+11 dict begin
+/FontInfo 7 dict dup begin
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+%%CreationDate: 1991 Aug 20 16:38:24
+% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
+11 dict begin
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+11 dict begin
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+%%CreationDate: 1996 Jul 27 08:57:55
+% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
+11 dict begin
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diff --git a/Carpet/CarpetWeb/favicon.ico b/Carpet/CarpetWeb/favicon.ico
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diff --git a/Carpet/CarpetWeb/feature-requests.html b/Carpet/CarpetWeb/feature-requests.html
new file mode 100644
index 000000000..f753bb2dd
--- /dev/null
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+<?xml version="1.0" encoding="ISO-8859-15"?>
+<!DOCTYPE html
+ PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
+ "DTD/xhtml1-strict.dtd">
+<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en">
+ <head>
+ <meta http-equiv="Content-Type" content="text/html; charset=iso-8859-15" />
+ <title>Carpet Feature Requests</title>
+ </head>
+
+ <body>
+ <h1>Carpet Feature Requests</h1>
+
+ <p>As Carpet is being looked at (and used?) by more and more
+ people, they express more and more wishes about things they miss
+ in Carpet. Some of these can be quickly fulfilled, others will
+ take months to implement. Here is a collection of these, so that
+ people know we don't ignore them.</p>
+
+ <hr />
+
+ <h2>Small Stuff</h2>
+
+ <ul>
+ <li>Find a nice Carpet logo</li>
+ <li>Add Doxygen tags</li>
+ <li>Compile and run on a few strange supercomputer architectures</li>
+ <li>Adapt CarpetSlab to new hyperslabbing interface</li>
+ <li>Slowly create many test cases for Carpet</li>
+ </ul>
+
+ <h2>Heavier Stuff</h2>
+
+ <ul>
+ <li>Compile Carpet and PUGH together</li>
+ <li>Don't restrict all grid functions</li>
+ <li>Make CarpetInterp interpolate in time as well</li>
+ <li>Design and write a nicer interface to specify fine grid
+ locations</li>
+ <li>Introduce the "convergence level" parameter</li>
+ <li>Do not enable all storage all the time</li>
+ </ul>
+
+ <h2>Good Stuff</h2>
+
+ <ul>
+ <li>Checkpointing and Restart</li>
+ <li>Parallel performance</li>
+ <li>Elliptic solvers</li>
+ </ul>
+
+ <h2>Stuff that would be nice, but won't be needed in the near
+ future</h2>
+
+ <ul>
+ <li>Cell centring</li>
+ <li>Improve the A of the AMR algorithm</li>
+ </lu>
+
+ <hr />
+
+ <p>
+ <a href="http://www.xemacs.org/About/created.html"><img
+ src="cbxSmall.jpg" alt="Created with XEmacs!" height="36"
+ width="100" /></a>
+
+ <a href="http://www.anybrowser.org/campaign/"><img
+ src="logoab8.png" alt="Best Viewed With Any Browser" height="31"
+ width="88" /></a>
+
+ <a href="http://validator.w3.org/check/referer"><img
+ src="valid-xhtml10.png" alt="Valid XHTML 1.0!" height="31"
+ width="88" /></a>
+ </p>
+
+ <address><a href="mailto:schnetter@uni-tuebingen.de">Erik Schnetter</a></address>
+<p>
+<!-- Created: Thu Aug 14 20:16:15 CEST 2003 -->
+<!-- hhmts start -->
+Last modified: Tue Aug 19 13:56:50 CEST 2003
+<!-- hhmts end -->
+</p>
+ </body>
+</html>
diff --git a/Carpet/CarpetWeb/index.html b/Carpet/CarpetWeb/index.html
new file mode 100644
index 000000000..c69a5ceda
--- /dev/null
+++ b/Carpet/CarpetWeb/index.html
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+<?xml version="1.0" encoding="ISO-8859-15"?>
+<!DOCTYPE html
+ PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN"
+ "DTD/xhtml1-transitional.dtd">
+<!-- $Header: /home/eschnett/C/carpet/Carpet/Carpet/CarpetWeb/index.html,v 1.9 2004/08/07 10:38:07 schnetter Exp $ -->
+<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en">
+ <head>
+ <meta http-equiv="Content-Type" content="text/html; charset=iso-8859-15" />
+ <title>CarpetCode</title>
+ </head>
+
+ <body>
+
+ <h1 align="center">CarpetCode</h1>
+
+<table>
+<tr>
+<td valign="top" bgcolor="#ffcc77" width="1%">
+
+<p><b>CarpetCode</b><br />
+<a href="http://www.carpetcode.org/">home page</a></p>
+
+<p><b>Documentation</b><br />
+<a href="doc/documentation.ps">Introduction</a> (ps,&nbsp;300&nbsp;kB)<br />
+<a href="doc/first-steps.ps">First Steps</a> (ps,&nbsp;160&nbsp;kB)<br />
+<a href="doc/internals.ps">Internals</a> (ps,&nbsp;130&nbsp;kB)</p>
+
+<p><b>Mailing lists</b><br />
+<a href="http://lists.carpetcode.org/listinfo/developers/">Subscribe</a><br />
+<a href="http://lists.carpetcode.org/archives/developers/">Archive</a></p>
+
+<p><b>Development</b><br />
+<a href="http://bugs.carpetcode.org/">Bugzilla</a><br />
+<a href="feature-requests.html">Missing&nbsp;features</a><br />
+<a href="bugs.html">Known bugs</a></p>
+
+<p><b>Related</b><br />
+<a href="http://www.cactuscode.org/">Cactus</a></p>
+<!-- <a href="http://testweb.aei.mpg.de/NumRelWeb/">numrel@aei</a></p> -->
+
+<p><b>Feedback</b><br />
+<a href="mailto:schnetter@aei.mpg.de">Send email</a></p>
+
+</td>
+<td valign="top">
+
+ <p>Carpet is a mesh refinement driver for <a
+ href="http://www.cactuscode.org/">Cactus</a>. Cactus is a
+ framework for solving time-dependent partial differential
+ equations on uniform grids, and Carpet is an extension of Cactus
+ that make mesh refinement possible. Carpet was originally written
+ in 2001 by <a
+ href="http://www.tat.physik.uni-tuebingen.de/~schnette/">Erik
+ Schnetter</a> at the <a
+ href="http://www.tat.physik.uni-tuebingen.de/">TAT</a>
+ (Theoretische Astrophysik Tübingen) and is currently maintained at
+ the <a href="http://www.aei.mpg.de/">AEI</a> (Max-Planck-Institut
+ für Gravitationsphysik, Albert-Einstein-Institut). These pages
+ describe Carpet and its current development.</p>
+
+ <hr />
+
+ <h2>News</h2>
+
+ <p><b>July 31, 2004:</b> Carpet seems to have reached a point
+ where it is stable enough to be useful for at least some projects.
+ Consequently, people expressed the wish to have a version of
+ Carpet which is stable and sees no disrupting development. The
+ idea is to have two "branches" of Carpet: a stable version for
+ production use, and a development version which might not be as
+ stable. We plan to make the split in about three weeks. The
+ discussion about this is held on the mailing list; your input is
+ welcome.</p>
+
+ <p><b>April 7, 2004:</b> Up to now, all Carpet thorns have been
+ living in a single arrangement for Cactus. This caused problems,
+ because stable thorns, development thorns, and outdated thorns
+ were sitting next to each other, confusing newcomers. We have <a
+ href="#getting-the-code">moved the Carpet arrangement</a> to a new
+ repository and split it into four. Access to the old Carpet
+ arrangement has been disabled.</p>
+
+ <p><b>March 3, 2004:</b> We have recently had trouble with I/O
+ throuth the <a
+ href="http://zeus.ncsa.uiuc.edu/~jshalf/FlexIO/">FlexIO</a>
+ library. We suspect that it might have a bug that causes HDF5
+ output to fail under certain, random conditions. We have written
+ a new thorn CarpetIOHDF5 which uses the <a
+ href="http://hdf.ncsa.uiuc.edu/HDF5/">HDF5</a> library directly,
+ while remaining compatible to the FlexIO file format. Please test
+ this thorn, and report any problems or incompatibilities you
+ find.</p>
+
+ <p>In <b>January 2004</b>, <a
+ href="http://www.tat.physik.uni-tuebingen.de/~kobras/">Daniel
+ Kobras</a> set up <a href="http://bugs.carpetcode.org/">Bugzilla
+ for Carpet</a>. <a href="http://www.bugzilla.org/">Bugzilla</a>
+ is a bug-tracking system that will, so we hope, help us remember
+ what is missing or broken in Carpet.</p>
+
+ <p>In <b>October 2003</b>, Erik Schnetter, Scott H. Hawley, and
+ Ian Hawke published the preprint "Evolutions in 3D numerical
+ relativity using fixed mesh refinement" as <a
+ href="http://arXiv.org/abs/gr-qc/0310042">gr-qc/0310042</a>. Its
+ main point is to present tests of Carpet with the BSSN code (AEI's
+ spacetime evolution code), and to show that mesh refinement does
+ not introduce instabilities.</p>
+
+ <p>In <b>August 2003</b>, <a
+ href="http://www.carpetcode.org/">these web pages</a> were
+ created.</p>
+
+ <p><b>May 2003</b> has informally been termed <a
+ href="CarpetMonth/index.html">"Carpet month"</a>. In a flurry of
+ activity, bugs were fixed and some features added. The BSSN code
+ of the numerical relativity group at the <a
+ href="http://www.aei.mpg.de/">AEI</a> now works together with
+ Carpet.</p>
+
+ <hr />
+
+ <h2>Documentation</h2>
+
+ <p>We have accumulated a few pieces of documentation:</p>
+ <ul>
+ <li>An <a href="doc/documentation.ps">introduction</a>
+ (ps,&nbsp;300&nbsp;kB) to Carpet, as well as a guide to the
+ first steps for using it. Everybody should have read this.
+ (This is the same as the Arrangement Guide from the Carpet
+ sources.)</li>
+
+ <li><a
+ href=http://www.astro.psu.edu/nr/people/sperhake_ulrich.html">Ulrich
+ Sperhake</a> wrote a tutorial outlining the <a
+ href="doc/first-steps.ps">first steps</a> (ps,&nbsp;160&nbsp;kB)
+ that one has to take to install Carpet and run an example
+ application.</li>
+
+ <li>An explanation of the <a href="doc/internals.ps">internal
+ workings</a> (ps,&nbsp;130&nbsp;kB) of Carpet. You should read
+ this if you want to modify Carpet.</li>
+
+ <li>The individual Thorn Guides of Carpet. They are available
+ with the source code. They give details about the thorns' APIs
+ and user interfaces.</li>
+
+ <li>Thanks to <a
+ href="http://www.stack.nl/~dimitri/doxygen/">Doxygen</a>, we now
+ have an <a href="doxygen/html/index.html">overview</a> over all
+ the routines and data structures in Carpet. Most individual
+ Doxygen tags are still missing, but the extracted documentation
+ is already very useful. (The online documentation might not
+ always be up to date; in case of doubt, extract the
+ documentation yourself.)</li>
+ </ul>
+
+ <hr />
+
+ <h2>Interacting with the developers</h2>
+
+ <p>Most discussions about Carpet, i.e. user questions, feature
+ requests, and bug reports, are held on the Carpet developers'
+ mailing list <a
+ href="mailto:developers@lists.carpetcode.org">developers@lists.carpetcode.org</a>.
+ You can subscribe and unsubscribe from our <a
+ href="http://lists.carpetcode.org/">list management web page</a>.
+ You will also find the mailing list archive there. We thank <a
+ href="http://www.tat.physik.uni-tuebingen.de/~kobras/">Daniel
+ Kobras</a> for managing the mailing list server.</p>
+
+ <p>We have started to use <a
+ href="http://www.bugzilla.org/">Bugzilla</a> to keep track of
+ requested features or reported bugs in Carpet. You can submit or
+ comment on issues from our <a
+ href="http://bugs.carpetcode.org/">Bugzilla pages</a> once you
+ have created an account there. The old <a
+ href="feature-requests.html">list of missing features</a> and <a
+ href="bugs.html">list of known bugs</a> have not yet been moved
+ over to Bugzilla.</p>
+
+ <hr />
+
+ <h2 id="getting-the-code">Getting the code</h2>
+
+ <p>Carpet is distributed under the <a
+ href="http://www.gnu.org/licenses/licenses.html">GNU General
+ Public License (GPL)</a>. It might be released under the GNU
+ Lesser General Public License (LGPL) in the future, to match the
+ distribution terms of Cactus.</p>
+
+ <p>Carpet is a driver for Cactus. It works as a part of Cactus,
+ and you will need to have the developers' version of Cactus
+ installed before you can use Carpet. Please look at the <a
+ href="http://www.cactuscode.org/">Cactus web pages</a> for an
+ introduction to Cactus and for installation instructions.</p>
+
+ <p>Carpet is available via anonymous <a
+ href="http://www.cvshome.org/">CVS</a>. The CVSROOT is
+ <code>:pserver:cvs_anon@cvs.carpetcode.org:/home/cvs/carpet</code>,
+ and there are several arrangements, each living in a directory.
+ The arrangement <code>Carpet</code> contains the basic driver part
+ that everybody needs. The arrangement <code>CarpetExtra</code>
+ contains useful add-ons and some example code. Development of new
+ thorns happens in the <code>CarpetDev</code> arrangement, which
+ means that the code in there is not to be trusted. And finally,
+ there is a graveyard arrangement <code>CarpetAttic</code> of
+ things that only used to be useful and are now in a state of
+ decay.</p>
+
+ <p>The password for anonymous CVS access is <code>anon</code>. We
+ thank the <a
+ href="http://www.tat.physik.uni-tuebingen.de/">Institut für
+ Astronomie und Astrophysik</a> of the Universität Tübingen for
+ hosting the CVS server.</p>
+
+ <hr />
+
+ <h2>Pretty pictures</h2>
+
+ <p>We are currently collecting pretty pictures and movies of
+ simulations that were performed with Carpet. Sorry; there is
+ nothing to see so far.</p>
+
+ <hr />
+
+ <h2>Making sense of results</h2>
+
+ <p>Three-dimensional time-dependent simulation results are
+ difficult enough to interpret when the grid is uniform. With mesh
+ refinement, the sheer amount of available data makes it necessary
+ to use professional tools to examine the data. This is not only
+ the case for "big physics runs", where one (should) know in
+ advance what to expect, but especially during development, where
+ things do not always go as planned. <a
+ href="http://www.aei.mpg.de/~tradke/">Thomas Radke</a> was kind
+ enough to write an <a
+ href="http://www.cactuscode.org/VizTools/OpenDX.html">import
+ module</a> for the visualisation tool <a
+ href="http://www.research.ibm.com/dx/">OpenDX</a>. He has also
+ produced an <a href="pictures/carpetwavetoy.jpeg">example
+ picture</a> (JPEG, 300&nbsp;KB) from a test run with the scalar
+ wave equation.</p>
+
+ <hr />
+
+ <h2>Related projects</h2>
+
+ <ul>
+ <li>Physicsc: <a href="http://www.cactuscode.org/">Cactus</a>, <a
+ href="http://numrel.aei.mpg.de/">numrel@aei</a></li>
+
+ <li>I/O: <a href="http://hdf.ncsa.uiuc.edu/HDF5/">HDF5</a>, <a
+ href="http://www.zib.de/benger/F5/doc/">F5</a></li>
+
+ <li>Visualisation: <a href="http://www.amiravis.com/">Amira</a>,
+ <a href="http://www.opendx.org/">OpenDX</a></li>
+ </ul>
+
+ <hr />
+
+ <p>
+ <a href="http://www.xemacs.org/About/created.html"><img
+ src="cbxSmall.jpg" alt="Created with XEmacs!" height="36"
+ width="100" /></a>
+
+ <a href="http://www.anybrowser.org/campaign/"><img
+ src="logoab8.png" alt="Best Viewed With Any Browser" height="31"
+ width="88" /></a>
+
+ <a href="http://validator.w3.org/check/referer"><img
+ src="valid-xhtml10.png" alt="Valid XHTML 1.0!" height="31"
+ width="88" /></a>
+ </p>
+
+ <address><a href="mailto:schnetter@uni-tuebingen.de">Erik Schnetter</a></address>
+<p>
+<!-- Created: Tue Aug 12 12:12:08 CEST 2003 -->
+<!-- hhmts start -->
+Last modified: Sat Aug 7 12:37:09 CEST 2004
+<!-- hhmts end -->
+</p>
+
+</td>
+</tr>
+</table>
+ </body>
+</html>
diff --git a/Carpet/CarpetWeb/logoab8.png b/Carpet/CarpetWeb/logoab8.png
new file mode 100644
index 000000000..d7dedf419
--- /dev/null
+++ b/Carpet/CarpetWeb/logoab8.png
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diff --git a/Carpet/CarpetWeb/pictures/carpetwavetoy.jpeg b/Carpet/CarpetWeb/pictures/carpetwavetoy.jpeg
new file mode 100644
index 000000000..2fdaf4a8e
--- /dev/null
+++ b/Carpet/CarpetWeb/pictures/carpetwavetoy.jpeg
Binary files differ
diff --git a/Carpet/CarpetWeb/robots.txt b/Carpet/CarpetWeb/robots.txt
new file mode 100644
index 000000000..8f9f069fc
--- /dev/null
+++ b/Carpet/CarpetWeb/robots.txt
@@ -0,0 +1,3 @@
+# allow everything
+User-agent: *
+Disallow:
diff --git a/Carpet/CarpetWeb/valid-xhtml10.png b/Carpet/CarpetWeb/valid-xhtml10.png
new file mode 100644
index 000000000..2275ee6ea
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diff --git a/Carpet/README b/Carpet/README
new file mode 100644
index 000000000..a6cd536f6
--- /dev/null
+++ b/Carpet/README
@@ -0,0 +1,11 @@
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/Carpet/README,v 1.9 2003/12/19 11:43:52 schnetter Exp $
+
+Cactus Code Arrangement Carpet
+Arrangement Author(s) : Erik Schnetter <schnetter@aei.mpg.de>
+Arrangement Maintainer(s) : Erik Schnetter <schnetter@aei.mpg.de>
+--------------------------------------------------------------------------
+
+Purpose of the arrangement:
+
+This arrangement provides a parallel AMR (adaptive mesh refinement)
+driver with MPI. See http://www.carpetcode.org/ for more information.
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diff --git a/Carpet/doc/Makefile b/Carpet/doc/Makefile
new file mode 100644
index 000000000..8c402b013
--- /dev/null
+++ b/Carpet/doc/Makefile
@@ -0,0 +1,29 @@
+# $Header: /home/eschnett/C/carpet/Carpet/Carpet/doc/Makefile,v 1.2 2002/11/29 16:48:35 schnetter Exp $
+
+NAME=documentation
+
+all: ${NAME}.dvi ${NAME}.ps ${NAME}.ps.gz ${NAME}.pdf
+
+${NAME}.dvi: carpet.bib
+
+%.dvi: %.tex
+ latex $*
+ bibtex $*
+ latex $*
+ latex $*
+
+%.ps: %.dvi
+ dvips $*
+
+%.pdf: %.dvi
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+1 3 0 1 0 7 50 0 -1 0.000 1 0.0000 5400 3600 75 75 5400 3600 5325 3600
+2 2 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 5
+ 2925 3525 3075 3525 3075 3675 2925 3675 2925 3525
+2 2 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 5
+ 3525 3525 3675 3525 3675 3675 3525 3675 3525 3525
+2 2 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 5
+ 5925 3525 6075 3525 6075 3675 5925 3675 5925 3525
+2 2 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 5
+ 6525 3525 6675 3525 6675 3675 6525 3675 6525 3525
+4 0 0 50 0 0 24 0.0000 4 255 180 2925 4875 0\001
+4 0 0 50 0 0 24 0.0000 4 255 180 3450 4875 2\001
+4 0 0 50 0 0 24 0.0000 4 255 180 4125 4875 4\001
+4 0 0 50 0 0 24 0.0000 4 255 180 4725 4875 6\001
+4 0 0 50 0 0 24 0.0000 4 255 180 5325 4875 8\001
+4 0 0 50 0 0 24 0.0000 4 255 360 5925 4875 10\001
+4 0 0 50 0 0 24 0.0000 4 255 360 6525 4875 12\001
diff --git a/Carpet/doc/carpet.bib b/Carpet/doc/carpet.bib
new file mode 100644
index 000000000..f95b7da84
--- /dev/null
+++ b/Carpet/doc/carpet.bib
@@ -0,0 +1,50 @@
+% $Header: /home/eschnett/C/carpet/Carpet/Carpet/doc/carpet.bib,v 1.2 2003/08/15 15:36:05 schnetter Exp $
+
+@Misc{Carpet__erik-schnetter,
+ author = {Erik Schnetter},
+ title = {\href{mailto:schnetter@uni-tuebingen.de} {\textless
+ schnetter@uni-tuebingen.de\textgreater}}
+}
+
+@Misc{Carpet__astro-psu-edu,
+ author = {{Department for} Astronomy and Astrophysics},
+ title = {\href{http://www.astro.psu.edu/}
+ {http://www.astro.psu.edu/}}
+}
+
+@Misc{Carpet__psu-edu,
+ author = {{Penn State University}},
+ title = {\href{http://www.psu.edu/} {http://www.psu.edu/}}
+}
+
+@Misc{Carpet__cactuscode-org,
+ author = {{Cactus web pages}},
+ title = {\href{http://www.cactuscode.org/}
+ {http://www.cactuscode.org/}}
+}
+
+@Misc{Carpet__gnuplot-info,
+ author = {gnuplot},
+ title = {\href{http://www.gnuplot.info/}
+ {http://www.gnuplot.info/}}
+}
+
+@Misc{Carpet__FlexIO,
+ author = {John Shalf},
+ title = {{FlexIO} library:
+ \href{http://zeus.ncsa.uiuc.edu/~jshalf/FlexIO/}
+ {http://zeus.ncsa.uiuc.edu/\textasciitilde
+ jshalf/FlexIO/}}
+}
+
+@Misc{Carpet__HDF,
+ author = {HDF},
+ title = {\href{http://hdf.ncsa.uiuc.edu/}
+ {http://hdf.ncsa.uiuc.edu/}}
+}
+
+@Misc{Carpet__CVS,
+ author = {CVS},
+ title = {\href{http://www.cvshome.org/}
+ {http://www.cvshome.org/}}
+}
diff --git a/Carpet/doc/documentation.tex b/Carpet/doc/documentation.tex
new file mode 100644
index 000000000..546b93d4d
--- /dev/null
+++ b/Carpet/doc/documentation.tex
@@ -0,0 +1,892 @@
+% *======================================================================*
+% Cactus Thorn template for ThornGuide documentation
+% Author: Ian Kelley
+% Date: Sun Jun 02, 2002
+% $Header: /home/eschnett/C/carpet/Carpet/Carpet/doc/documentation.tex,v 1.10 2003/07/21 18:48:08 schnetter Exp $
+%
+% Thorn documentation in the latex file doc/documentation.tex
+% will be included in ThornGuides built with the Cactus make system.
+% The scripts employed by the make system automatically include
+% pages about variables, parameters and scheduling parsed from the
+% relevent thorn CCL files.
+%
+% This template contains guidelines which help to assure that your
+% documentation will be correctly added to ThornGuides. More
+% information is available in the Cactus UsersGuide.
+%
+% Guidelines:
+% - Do not change anything before the line
+% % START CACTUS THORNGUIDE",
+% except for filling in the title, author, date etc. fields.
+% - Each of these fields should only be on ONE line.
+% - Author names should be sparated with a \\ or a comma
+% - You can define your own macros are OK, but they must appear after
+% the START CACTUS THORNGUIDE line, and do not redefine standard
+% latex commands.
+% - To avoid name clashes with other thorns, 'labels', 'citations',
+% 'references', and 'image' names should conform to the following
+% convention:
+% ARRANGEMENT_THORN_LABEL
+% For example, an image wave.eps in the arrangement CactusWave and
+% thorn WaveToyC should be renamed to CactusWave_WaveToyC_wave.eps
+% - Graphics should only be included using the graphix package.
+% More specifically, with the "includegraphics" command. Do
+% not specify any graphic file extensions in your .tex file. This
+% will allow us (later) to create a PDF version of the ThornGuide
+% via pdflatex. |
+% - References should be included with the latex "bibitem" command.
+% - use \begin{abstract}...\end{abstract} instead of \abstract{...}
+% - For the benefit of our Perl scripts, and for future extensions,
+% please use simple latex.
+%
+% *======================================================================*
+%
+% Example of including a graphic image:
+% \begin{figure}[ht]
+% \begin{center}
+% \includegraphics[width=6cm]{MyArrangement_MyThorn_MyFigure}
+% \end{center}
+% \caption{Illustration of this and that}
+% \label{MyArrangement_MyThorn_MyLabel}
+% \end{figure}
+%
+% Example of using a label:
+% \label{MyArrangement_MyThorn_MyLabel}
+%
+% Example of a citation:
+% \cite{MyArrangement_MyThorn_Author99}
+%
+% Example of including a reference
+% \bibitem{MyArrangement_MyThorn_Author99}
+% {J. Author, {\em The Title of the Book, Journal, or periodical}, 1 (1999),
+% 1--16. {\tt http://www.nowhere.com/}}
+%
+% *======================================================================*
+
+% If you are using CVS use this line to give version information
+% $Header: /home/eschnett/C/carpet/Carpet/Carpet/doc/documentation.tex,v 1.10 2003/07/21 18:48:08 schnetter Exp $
+
+\documentclass{article}
+
+% Use the Cactus ThornGuide style file
+% (Automatically used from Cactus distribution, if you have a
+% thorn without the Cactus Flesh download this from the Cactus
+% homepage at www.cactuscode.org)
+\usepackage{../../../doc/latex/cactus}
+\usepackage{hyperref}
+
+\begin{document}
+
+% The author of the documentation
+\author{Erik Schnetter \textless schnetter@uni-tuebingen.de\textgreater}
+
+% The title of the document (not necessarily the name of the Thorn)
+\title{Carpet}
+
+% the date your document was last changed, if your document is in CVS,
+% please use:
+\date{$ $Date: 2003/07/21 18:48:08 $ $}
+
+\maketitle
+
+% Do not delete next line
+% START CACTUS THORNGUIDE
+
+% Add all definitions used in this documentation here
+% \def\mydef etc
+
+% Add an abstract for this thorn's documentation
+\begin{abstract}
+This text describes the Carpet arrangement. Carpet is a mesh
+refinement driver for Cactus that can replace PUGH, the standard
+unigrid driver. Carpet supports multiple refinement levels and
+multiple grid patches. Carpet can run in parallel, but not yet very
+efficiently so. Carpet does not yet support multiple grid
+hierarchies, i.e.\ shadow hierarchies or automatic convergence tests.
+\end{abstract}
+
+
+
+\section{Overview}
+
+\subsection{Fixed Mesh Refinement, aka Box-in-Box}
+
+Fixed Mesh Refinement (FMR), also known as box-in-box, is a way to
+increase the local resolution in unigrid applications, while retaining
+the basic unigrid character of an application. A small number (maybe
+two or three) of grids with varying resolution overlay each other,
+where the coarsest grid has the largest extent. This allows the
+application to benefit from the higher resolution of the smaller grids
+while keeping the outer boundary far out at the same time. The main
+advantage of FMR are that it needs far less resources than globally
+increasing the resolution.
+
+\subsection{Carpet}
+
+Carpet is the name of an FMR driver, i.e.\ the back end that handles
+storage allocation for the grid functions, parallelism, I/O, and the
+various inter-grid operations. Carpet was developed in early summer
+of 2000 by Erik Schnetter \cite{Carpet__erik-schnetter}, then a
+research scholar in the Department for Astronomy and Astrophysics
+\cite{Carpet__astro-psu-edu} of Penn State University
+\cite{Carpet__psu-edu}. In spring 2001, Carpet was coupled to Cactus
+as a drop-in enhancement for the standard unigrid Cactus driver PUGH.
+
+\subsection{Cactus}
+
+From the main Cactus web pages \cite{Carpet__cactuscode-org}:
+\begin{quote}
+Cactus is an open source problem solving environment designed for
+scientests and engineers. Its modular structure easily enables
+parallel computation across different architectures and collaborative
+code development between different groups. Cactus originated in the
+academic research community, where it was developed and used over many
+years by a large international collaboration of physicists and
+computational scientists.
+\end{quote}
+
+
+
+\section{Introduction}
+
+\subsection{Fixed Mesh Refinement}
+
+A standard way of solving partial differential equations are finite
+differences on a regular grid. This is also called \emph{unigrid}.
+Such an application discretises its problem space onto a single,
+rectangular grid which has everywhere the same grid spacing. This
+grid might be broken up into several parts for parallelisation
+purposes, but parallelisation should be transparent to the physics
+part of the application.
+
+Increasing the resolution in a unigrid application is somewhat
+expensive. For example, increasing the resolution by a factor of two
+requires a factor of eight more storage in three dimensions. Given a
+constant Courant factor, the calculation time will even go up by a
+factor of sixteen. This behaviour makes it easy to find problems that
+cannot be solved on contemporary supercomputers, no matter how big and
+fast those computers are.
+
+Apart from physical insight, which often has to be used to decrease
+the problem size until it fits the current hardware, there are also
+numerical and algorithmic methods to decrease the resource
+requirements of the application. Most applications need the high
+resolution only in a part of the simulation domain. Discretisation
+methods that don't require a uniform resolution, such as finite
+elements, can implement non-uniform resolutions very naturally. One
+problem with finite elements is that many physicists today are not
+familiar with finite elements, or shy away from their perceived
+complexity, or are not willing to adapt existing finite difference
+code.
+
+Fixed Mesh Refinement (FMR) is a poor man's way of implementing a
+non-uniform resolution into a unigrid application with minimal changes
+to its structure. Instead of only one grid, there are several grids
+or grid patches with different resolutions. The coarsest grid usually
+encloses the whole simulation domain. Successively finer grids
+overlay the coarse grid at those locations where a higher resolutions
+is needed. The coarser grids provide boundary conditions to the finer
+grid through interpolation.
+
+Instead of updating only one grid, the application has to update all
+grids. The usual approach is to first take a step on the coarsest
+grid, and then recursively take several smaller steps on the finer
+grids. The Courant criterion requires that the step sizes on the
+finer grids be smaller than on the coarse grid. The boundary values
+for the finer grids are found through interpolation in space and time
+from the coarser grid. In the end, the information on the finer grids
+is injected into the coarse grids.
+
+Strictly speaking there is no need for a coarse grid on the regions
+covered by the finer grids. But as stated above, the resources
+required for treating the overlapping region on the coarse grid are
+only minimal compared to treating the finer grids. And because a
+coarse grid with a hole often creates complications, this obvious
+optimisation is often left out.
+
+\subsection{Carpet}
+
+Carpet is a C++ library that provides infrastructure to describe
+regions of varying resolution in a convenient and efficient way.
+Carpet contains routines to manage grid hierarchies, containing the
+relationships between the components of the grid on the different
+refinement and convergence levels. Carpet has a notion of simulation
+time and grid spacing, which are necessary for interpolation, and
+contains efficient interpolators.
+
+Carpet can run on several processors in parallel using MPI for
+communication. Each grid can be broken down into several components,
+and every component has a home processor. Carpet also contains
+operators to move certain regions to a different processor, or to
+synchronise all components of a grid.
+
+Carpet is also an arrangement of thorns for Cactus, implementing a
+driver and associated I/O routines for both ASCII and binary I/O. It
+should be possible to substitute Carpet for the standard Cactus driver
+PUGH without changes to the application thorns and thus use Carpet as
+a unigrid driver. Making use of the FMR capabilities of Carpet
+usually requires some rearranging of the application, comparable in
+general to the changes necessary for a uniprocessor application to run
+on multiple processors.
+
+The driver section of Carpet contains the logic to manage storage for
+the grid functions, to traverse the grid hierarchy for all scheduled
+routines, and to automatically apply the necessary inter-grid
+operators for prolongation (interpolation of the fine grid boundaries)
+and restriction (injecting the fine grid information back into the
+coarse grid).
+
+The ASCII I/O routines use the quasi-standard gnuplot
+\cite{Carpet__gnuplot-info} format. The binary I/O routines use the
+FlexIO library \cite{Carpet__FlexIO} written by John Shalf. It allows
+efficient and platform independent I/O. The FlexIO format is based on
+HDF \cite{Carpet__HDF} and also supported by several visualisation
+packages.
+
+Carpet is copyrighted by Erik Schnetter, and is available under the
+GPL licence from a CVS \cite{Carpet__CVS} repository.
+
+\subsection{WaveToy}
+
+Cactus comes with a sample application called \emph{WaveToy}, which
+solves the scalar wave equation with various initial data and boundary
+conditions. An an example, I have extended WaveToy so that is uses
+Carpet's FMR capabilities. WaveToy serves both as a test case for
+Carpet, and as example of how to convert an application to using FMR.
+
+The equation solved by WaveToy is the well known scalar wave equation,
+discretised using the Leapfrog method with three time levels, yielding
+second order accuracy in space and time. A typical set of initial
+data are a plane wave, and a typical boundary condition is
+periodicity. Those allow long term simulations as well as easy and
+meaningful comparisons to the analytic solution.
+
+
+
+\section{Compiling Cactus With Carpet}
+
+Carpet has been written in C++, using templates and the STL (Standard
+Template Library). Both templates and the STL make writing and
+debugging code a lot easier. Without templates, I would have had to
+put much effort into making Carpet support all of Cactus' data types.
+Without the STL, I would have had to spend quite some time
+implementing basic containers such as lists or sets. I still had to
+implement a custom vector type, because STL's vector type is optimised
+for large vectors only, and I needed threedimensional vectors of
+integers.
+
+The inner loops of Carpet are the inter-grid operators, that is the
+routines that copy, restrict, and prolongate between grids. Due to
+Cactus it was rather easy to write these in \textsc{Fortran 77}, which
+makes them both fast and portable.
+
+Carpet is an arrangement in Cactus. It can theoretically be compiled
+without any external library, if you omit the binary I/O support which
+requires the FlexIO library. FlexIO is already part of Cactus in the
+thorn CactusExternal/FlexIO. I suggest that you enable support for
+the HDF format in the FlexIO library, although this is not necessary.
+For that, you have to install the HDF5 libraries first.
+
+\subsection{Hurdle 1: STL}
+
+Some operating systems do not have a compliant STL (Standard Template
+Library) installed. If not, then you are in trouble. Carpet does
+make use of the STL, and there is no way around that.
+
+\subsection{Hurdle 2: Templates}
+
+Some compilers contain switches to instantiate some or all templates
+automatically. This usually does not work when files are put into
+libraries, which is what Cactus does. The scheme that I found working
+on all machines is to instantiate most templates by hand, and have the
+compiler instantiate the missing templates for every object file.
+This is the default for gcc. On SGIs, you have to pass the options
+\texttt{-no\_auto\_include -ptused} to the C++ compiler.
+
+The C++ standard specifies a limit when using templates as template
+parameters. Carpet's use of the GNU STL exceeds this limit. Gcc
+requires the option \texttt{-ftemplate-depth-30} to enable this.
+
+\subsection{WaveToy}
+
+Unfortunately, PUGH and Carpet cannot yet be both compiled into a
+single application. (This will be fixed soon.) That means that you
+will have separate executables for unigrid and for mesh refinement
+applications.
+
+Configuring Carpet is not quite trivial, because Cactus provides
+currently no way to autodetect the settings for Carpet. Hence you
+will have to set the settings manually. I propose that you start with
+on of the pre-made options files in the directory
+\texttt{Carpet/Carpet/options}. Try e.g.\ \texttt{carpet-harpo-sgi}
+for an SGI, or \texttt{carpet-lilypond} for Linux with gcc, or
+\texttt{carpet-lilypond-ic} for Linux with the Intel compilers. Once
+you have a working options file for your machine, send it to me, so
+that I can include it.
+
+As for the thorn list: Carpet has its own ASCII output thorn, which
+outputs more information than CactusBase/IOASCII. The thorn list that
+I use is
+
+\begin{verbatim}
+CactusBase/Boundary # boundary (grid) [ ] { }
+CactusBase/CartGrid3D # grid ( ) [ ] {driver}
+#CactusBase/IOASCII # IOASCII (IO,Hyperslab) [ ] {IO}
+CactusBase/IOBasic # IOBasic (IO) [ ] {IO}
+CactusBase/IOUtil # IO ( ) [ ] { }
+CactusBase/LocalInterp # LocalInterp ( ) [ ] { }
+CactusBase/Time # time ( ) [ ] { }
+CactusConnect/HTTPD # HTTPD (Socket) [ ] {Cactus}
+CactusConnect/HTTPDExtra # http_utils (httpd,IO) [ ] { }
+CactusConnect/Socket # Socket ( ) [ ] { }
+CactusExternal/FlexIO # FlexIO ( ) [ ] { }
+CactusExternal/jpeg6b # jpeg6b ( ) [ ] { }
+CactusIO/IOJpeg # IOJpeg (IO,Hyperslab,jpeg6b) [ ] {IO}
+CactusUtils/NaNChecker # NaNChecker ( ) [ ] { }
+CactusWave/IDScalarWave # idscalarwave (wavetoy,grid) [ ] {grid}
+CactusWave/IDScalarWaveC # idscalarwave (wavetoy,grid) [ ] {grid}
+CactusWave/IDScalarWaveCXX # idscalarwave (wavetoy,grid) [ ] {grid}
+#CactusWave/IDScalarWaveElliptic # idscalarwaveelliptic (grid,wavetoy,ellbase) [ ] {idscalarwave}
+CactusWave/WaveBinarySource # binarysource (wavetoy,grid,idscalarwave) [ ] { }
+CactusWave/WaveToyC # wavetoy (Grid,Boundary) [ ] { }
+CactusWave/WaveToyCXX # wavetoy (Grid,Boundary) [ ] { }
+CactusWave/WaveToyF77 # wavetoy (Grid,Boundary) [ ] { }
+#CactusWave/WaveToyF90 # wavetoy (Grid,Boundary) [ ] { }
+#CactusWave/WaveToyFreeF90 # wavetoy (Grid,Boundary) [ ] { }
+Carpet/Carpet # driver (CarpetLib) [ ] {Cactus,IO}
+Carpet/CarpetIOASCII # IOASCII (CarpetLib,driver,Hyperslab) [ ] {IO}
+Carpet/CarpetIOFlexIO # IOFlexIO (CarpetLib,driver,Hyperslab,FlexIO) [ ] {IO}
+#Carpet/CarpetIOHDF5 # IOHDF5 (CarpetLib,driver,Hyperslab) [ ] {IO}
+#Carpet/CarpetIOSer # IOSer (CarpetLib,driver,Hyperslab) [ ] {IO}
+Carpet/CarpetLib # CarpetLib ( ) [ ] { }
+Carpet/CarpetReduce # reduce (CarpetLib,driver) [ ] { }
+Carpet/CarpetRegrid # CarpetRegrid (CarpetLib,driver) [ ] { }
+Carpet/CarpetSlab # Hyperslab (CarpetLib,driver) [ ] { }
+\end{verbatim}
+
+The thorns prefixed with \texttt{\#} are disabled. IOASCII conflicts
+with CarpetIOASCII. I disabled IDScalarWaveElliptic because there is
+no elliptic solver for mesh refinement, and I disabled WaveToyF90 and
+WaveToyFreeF90 because gcc does not yet contain a Fortran 90 compiler.
+CarpetIOHDF5 is not yet finished, and CarpetIOSer needs the Ser
+library which is not publically available.
+
+The CactusConnect, CactusIO, and CactusUtils thorns are not necessary,
+but are nice to have around. You can safely omit these.
+
+
+
+\section{Running The Example Applications}
+
+Although Carpet works fine with the standard WaveToy thorns, all the
+example parameter files in the CactusWave arrangement use PUGH, and
+can therefore not be directly used.
+
+The coordinate thorn CactusBase/CartGrid3D does not provide periodic
+boundary conditions. These are normally provided by the driver PUGH.
+However, Carpet does not contain any boundary conditions. If you want
+to apply periodic boundaries, you will therefore have to use the
+AlphaThorns/Cart3d coordinate thorn instead, which does provide
+periodicity. Unfortunately, AlphaThorns/Cart3d is incompatible with
+CactusBase/CartGrid3D. There is a version of WaveToy in the Carpet
+arrangement that has been adapted to AlphaThorns/Cart3d. I suggest
+that you use this version of WaveToy instead of CactusWave to run test
+problems, because periodicity makes for nice testing setups.
+
+You can find quite a few example parameter files in the directory
+\texttt{Carpet/WaveToyF77/par}. I especially recommend the
+\texttt{wavetoyf77\_periodic\_*} set, which comes in two sizes
+(\texttt{coarse} and \texttt{fine}, corresponding to a small and a
+large simulation domain) and three different refinement hierarchies
+(with one, two, and three level altogether, respectively). This set
+thus forms a convergence test, which you can run and test yourself.
+The set \texttt{wavetoyf77\_rad\_full\_*} uses radiative instead of
+periodic boundaries and should also be nice to look at. The file
+\texttt{wavetoyf77\_rad\_automatic.par} is an attempt at adaptive mesh
+refinement, which may or may not work, depending on the current status
+of Carpet.
+
+Second order convergence requires second order interpolation in time,
+which requires that at least three time levels are present.
+
+
+
+\section{Fold Your Own FMR Application}
+
+There are three steps to take from a simple unigrid uniprocessor toy
+application to a full-blown FMR multiprocessor production application.
+Those steps are almost independent, and I would like to explain them
+and their implications in some detail below.
+
+\subsection{Multiple Processors}
+
+The probably best known of these is the step from using one to using
+several processors, also known as parallelisation. Because many
+people are already familiar with this step, I will describe it first.
+
+In a uniprocessor application, it is possible to access every grid
+point in arbitrary manners. In order to allow multiple processors to
+run efficiently in parallel, the grid is broken down into several
+rectangular components, and each processor is assigned one of these
+components.
+
+The components will usually overlap by a few grid points, so as to
+allow the processors to e.g.\ calculate spatial derivatives (which
+require neighbouring grid points) without having to communicate for
+every grid point. From time to time it is then necessary to
+synchronise the overlapping region, which is the only time at which
+communication happens. This allows the application to run almost
+unchanged, i.e.\ without invoking communication itself. The
+synchronisation routine is provided by the driver and not by the
+application.
+
+Of course a serial applicate usually will have to be changed to
+support multiple processors. In order to do so, all the operations
+that the application performs have to be classified into one of two
+categories:
+
+One category contains the so-called \emph{local} operations. These
+are operations that are applied to each and every grid point
+individually, and that do not depend on any other grid point except
+nearby neighbours. Each local operation will thus involve a loop over
+all grid points, and in order to run on multiple processors, after
+each such loop the synchronisation routine has to be called. An
+example of a local operation would be calculating a spatial
+derivative.
+
+The other category contains so-called \emph{global} operations. These
+operations do not depend on individual grid points, and thus do not
+involve loops over grid points. The result of a global operation is
+the same on all processors; therefore global operations don't involve
+communication and don't require synchronisation. An example of a
+global operation would be to check how many time steps have been
+taken, and decide whether the simulation should be terminated.
+
+Typically most operations can be classified or rewritten to be either
+local or global. But often there are operations that fit neither
+category, and these parts of an application are hardest to
+parallelise. Applying the boundary conditions, to give another
+example, might seem at first to be neither local nor global. But in a
+slight (yet completely correct) stretch of the term "applied to all
+grid points", boundary conditions can be classified as local; they are
+a local operation that just does nothing to most grid points.
+
+To give one more example, calculating an error norm does not fit these
+categories. It is neither local nor global. It is not local because
+the results involved all grid points (and not only nearby neighbours),
+and it is not global because it does involve the grid points. All
+operations that do not fit the two category require typically special
+handling, and often require hand-coded communication in the
+application. Luckily calculating various norms is such a common case
+that there are special routines for that already present, called
+\emph{reduction operators}.
+
+\subsection{Multiple Resolution Levels}
+
+There are several reasons why an application might want to incorporate
+more than one grid, overlapping and each with a different resolution.
+
+The most commonly known reason is probably a convergence test, where
+the very same problem is treated in different resolutions.
+Differences in the result are then likely caused by insufficient
+resolution on the coarser (or on all) grids. For a convergence test,
+the grids are completely independent, and it does not matter whether
+the simulation runs on all grids simultaneously or sequentially. In
+order to treat the grid sequentially, the application does not have to
+be changed at all.
+
+The reason of interest here is of course FMR. For FMR, the order in
+which the grids are treated is fixed. As described above, there is
+first a time step on the coarse grid, and then recursively several
+smaller steps on the finer grids. This order does require certain
+changes in the application. The sequence of operations that form a
+single time step have to be identified and isolated. (Which is to say
+that there has to be a routine that calculates a time step, that is, a
+complete time step, and nothing else.) It is then the task of the FMR
+driver to call this routine for the correct grids in the correct
+order.
+
+Other reasons for multiple resolution levels are e.g.\ multigrid
+algorithms for elliptic equations, which I do not want to mention
+here, or shadow hierarchies to determine truncation errors, which I
+also want to skip here. Shadow hierarchies are very similar to the
+convergence levels described above.
+
+Apart from this order in which the operations are performed on the
+grids, there is one more complication for FMR. The boundary values of
+the finer grids have to be calculated from the coarser grids through
+interpolation. An because the time steps on the finer grids are
+smaller, there is not always a corresponding value on the coarser
+grids available. This makes it necessary to interpolate in time
+between time steps on the coarser grids. The alternative would be to
+take smaller steps on the coarser grids, and this would be very
+expensive.
+
+These interpolations in time make it necessary that the driver knows
+which grid function contains values corresponding to what time. The
+usual way to achieve this is to have several time levels per grid
+function; three time levels allow for a second order interpolation in
+time. Only grid functions with enough time levels can be
+interpolated, i.e.\ boundary conditions can be calculated only for
+those.
+
+Fortunately time levels are rather widespread in applications, so they
+are no new concept to introduce. Unfortunately they are often abused,
+so that values corresponding to the wrong time are stored in a time
+level, usually with the excuse of saving storage. This will in
+general not work with FMR, because the driver then cannot interpolate
+in time, leading to incorrect values on the boundaries of the finer
+grids.
+
+\subsection{Multiple Grid Components}
+
+Sometimes it is convenient to have a simulation domain that is not a
+rectangle. It might instead be an L-shaped simulation domain, or a
+domain that consists of two disconnected rectangular regions. This
+issue becomes more important with FMR, because there it is often
+convenient to have several disconnected refined regions. As long as
+there are enough processors available, each processor can be assigned
+a region or a part thereof, and no new concept need be introduced.
+If, however, there are fewer processors than regions, then a new
+problem arises.
+
+A common case for that problem might be a simulation containing just
+two refined regions, and running on a single processor. The refined
+grid the consists of two component. The problem then is that the two
+components cannot be treated sequentially: Imagine the time evolution
+routine working on (say) the first component. It will at some time
+call the synchronisation routine. At that time there are no values
+from the second component available, because the second component has
+not been treated yet. Therefore the synchronisation routine cannot
+complete. That means in turn that the time evolution routine cannot
+complete working on the first component, leading to a deadlock. Work
+on neither component can be completed before work on the other
+component.
+
+The solution is to break up the time evolution routine into several
+smaller routines, each consisting of a single either local or global
+operation. (``Local'' and ``global'' have here the exact same
+meanings that were defined above for parallelisation.) A local
+operation works, by definition, on individual grid points. Hence the
+local routines have to be called once for every grid component. A
+global operation, by definition, does not depend on individual grid
+points. Hence it has to be called only once per processor, and not
+once per component. That means that the driver has to be told the
+category individual routine is in.
+
+\subsection{Example}
+
+Let me finish this section with an detailed example. Suppose you want
+to solve the equation
+\begin{eqnarray}
+ \frac{d}{dt} u & = & f(u) \quad ,
+\end{eqnarray}
+integrating using the midpoint rule, i.e.\ the simplemost second-order
+time integration scheme. Given values at the previous time $u^{n-1}$,
+one first calculates a first order solution using an Euler step,
+leading to the intermediate result
+\begin{eqnarray}
+ v^n & = & u^{n-1} + dt\; f(u^{n-1}) \quad .
+\end{eqnarray}
+The second and final step is then calculated via
+\begin{eqnarray}
+ u^n & = & u^{n-1} + dt\; f(\frac{1}{2} [u^{n-1} + v^n]) \quad .
+\end{eqnarray}
+
+The corresponding pseudo code would look like
+\begin{enumerate}
+\item
+Calculate Euler step, storing the result into $u^n$
+\item
+Apply boundary conditions to $u^n$
+\item
+Synchronise $u^n$
+\item
+Calculate average of $u^{n-1}$ and $u^n$, storing the result into
+$v^n$
+\item
+Calculate second step, storing the result again into $u^n$
+\item
+Apply boundary conditions again to $u^n$
+\item
+Synchronise again $u^n$
+\end{enumerate}
+
+The above algorithm looks a bit different from a naive implementation
+of the midpoint rule. One difference is that both the first and the
+second step store their result into $u^n$. This is necessary because
+it would be inconvenient to apply boundary conditions to the
+intermediate value $v^n$. Remember, in order to apply boundary
+conditions on the finer grids, there have to be several time levels
+present. With the above scheme, only $u$ needs several time levels.
+$v$ is used only as a temporary (and could conceivably be completely
+eliminated).
+
+Note also that the first step goes all the way from time level $n-1$
+to time level $n$. The midpoint rule can be rewritten (in fact, is
+usually written) so that the first step is only a half step, leading
+to the time level $n - \frac{1}{2}$. This is not possible for FMR,
+because interpolating to the time $n - \frac{1}{2}$ is not possible,
+and thus there could be no boundary conditions applied after the first
+step.
+
+The second thing to note is that the application of the boundary
+condition and the synchronisation have been separated rather
+artificially. Normally synchronisation would be considered part of
+the boundary condition. In this case, however, the applying the
+boundary condition is a local operation, whereas synchronisation
+counts as global operation. (It is not obvious that synchronisation
+should be global, but as the synchronisation routine is a part of
+Carpet, it was up to me to decide this.) As explained above, local
+and global operations have to be separated.
+
+Separating the evolution steps and the boundary condition routines is,
+on the other hand, just a notational convenience. There could well be
+a single routine implementing both.
+
+For Cactus, the order in which to call the individual parts of the
+time evolution routines is described in the schedule routines, i.e.\
+in the files called \texttt{schedule.ccl}. By default a routine is
+assumed to be local; global routines have to be tagged with
+\texttt{OPTIONS: GLOBAL}.
+
+The tag \texttt{SYNC: groupname} indicates that the group
+\texttt{groupname} should be synchronised after the scheduled routine
+has been called for all grid components. This obviously makes sense
+only for local routines. Using the \texttt{SYNC:} tag is preferred
+over calling the synchronisation routine \texttt{CCTK\_SyncGroup}
+directly.
+
+The example thorn WaveToy in Carpet's arrangement is a bit simpler
+than what is described here, because it uses the Leapfrog scheme which
+consists of only a single step. I would suggest looking at WaveToy as
+an initial FMR example.
+
+The thorn SpaceToy is implemented very close to the way described
+here. It evolves two variables phi and psi, but it is also coupled to
+the thorn HydroToy. This coupling introduces some additional
+complications. The thorn HydroToy, on the other hand uses a
+predictor-corrector scheme, which is also a two step scheme and thus
+more complex that WaveToy. All the coupling between SpaceToy and
+HydroToy is contained in SpaceToy. I would thus suggest looking at
+HydroToy first.
+
+I assume that converting an application to FMR is straightforward
+after handling the time levels has been straightened out.
+
+
+
+\section{Further documentation}
+
+The individual thorns in the Carpet arrangement might contain further
+documentation, which is also available in the thorn guide.
+Additionally, there is a document \texttt{internals.tex} in the
+arrangement's doc directory, and a document
+\texttt{threelev\_initdata.tex} in thorn \texttt{Carpet}'s doc
+directory.
+
+
+\section{Frequently Asked Questions}
+\label{sec:faq}
+
+Here are a few of the more frequently asked questions with some
+answers.
+\begin{enumerate}
+\item \textbf{If I run without any refined grids, why don't I get the
+ same results as with PUGH?}
+
+ There are two possible reasons. The most common is that the you are
+ not comparing exactly the same output. It used to be the case that
+ norms would disagree (this is no longer the case). If it is the
+ ASCII output that disagress, then you should note that the default
+ output format for CarpetIOASCII gives more digits than
+ CactusBase/IOASCII. If you want to get ``identical'' results for
+ this output, try setting \texttt{IOASCII::out\_format = ".14f"}).
+
+ The second reason is subtle differences are bugs in the
+ implementation. Good luck finding these...
+\item \textbf{I switch on a refined grid. Why do I not see it output?
+ Why is the output strange?}
+
+\begin{figure}[htbp]
+ \begin{center}
+ \includegraphics[scale=0.5]{Grid1.eps}
+ \caption{How the grids are indexed in Carpet. This is an
+ artificial three level example using C-style numbering (0
+ origin). Note that the numbering is with respect to the finest
+ grid.}
+ \label{fig:Grid1}
+ \end{center}
+\end{figure}
+ As soon as you switch on refinement the way the grids are numbered
+ by index changes. The numbering is done with respect to the
+ \textit{finest} grid but covers the entire domain. An example of how
+ the numbering works is given in figure~\ref{fig:Grid1}. It is
+ important to note that this also applies to the numbering in
+ time. So with the grid structure of figure~\ref{fig:Grid1} output
+ for the coarsest grid only occurs on iterations $0,4,8,\dots$, for
+ the medium grid only on iterations $0,2,4,\dots$, and for the finest
+ grid on iterations $0,1,2,\dots$. Note that here the finest grid is
+ not the finest \textit{existing} grid, but the finest
+ \textit{possible} grid. This is controlled by the
+ \texttt{Carpet::max\_refinement\_levels} parameter.
+
+ So, there are plenty of reasons why the output might be strange:
+ \begin{itemize}
+ \item You are requesting output on iterations when not all grids are
+ output. For example, requesting output every $5^{\text{}th}$
+ iteration with the above grid structure would only output the
+ coarse grid every 20 iterations.
+ \item You are requesting output along an index that does not
+ intersect with any grid points. For example, the line defined by
+ $j = 6$ in the example above corresponds to the center of the box,
+ but does not intersect the coarse grid at all!
+ \item Requesting output along a line defined by a coordinate value
+ will give you the index closest to it. This may not agree on the
+ different refinement levels. In the example above the coordinate
+ value $y=5.1$ is closest to $j=5$ on the fine grid, $j=6$ on the
+ medium grid, and $j=4$ on the coarse grid. All the different lines
+ will be output but you should not expect points that appear to
+ overlap in the output to agree as they're actually not at the same
+ point.
+ \item CarpetRegrid (which sets up the refined boxes) knows nothing
+ about symmetries. So if you have a simulation in, for example,
+ octant mode with $x,y,z\in[0,10]$ and you leave all the parameters
+ to be the defaults, the following will happen:
+ \begin{itemize}
+ \item CarpetRegrid creates a refined box at the center of the
+ \textit{index space}. This might cover something like
+ $x,y,z\in[3,7]$.
+ \item When the IO thorn requests the output lines and planes it
+ does know the symmetries, so tries to put the lines and planes
+ as close to the origin $x=y=z=0$ as possible.
+ \item When output occurs the lines and planes don't intersect the
+ fine grid and so you get no output.
+ \end{itemize}
+ \end{itemize}
+
+ Morals: Comparing 1D output on different refinement levels can be
+ very frustrating. 2D output is usually much more informative. Using
+ symmetry conditions with Carpet is tricky.
+
+\item {\bf I want to run with periodic boundaries. Why aren't things
+ working correctly?}
+
+ You thought symmetry boundaries were bad? Periodic boundaries are
+ even worse.
+
+ Firstly, Carpet does not itself implement periodic boundaries. The
+ thorn {\tt TAT/Periodic} is ``more or less'' driver independent and
+ does. This should be used to implement the actual boundary
+ conditions. You should not need to change your code - just activate
+ the thorn with the appropriate parameters.
+
+ Secondly, periodic boundaries do {\bf not} work the same way as
+ symmetry boundaries. This is because you cannot specify a point in
+ coordinate space where the boundary actually lies; it really lies in
+ the index space. The following example will hopefully help.
+
+ Take a 1D slice through the grid. There are 7 points with 2 boundary
+ (ghost) zones (0,2 and 10,12), so only 3 points are actually being
+ evolved (4, 6, 8). Periodic boundaries means that the boundary points
+ are identified with certain evolved points. For example, point 2 is
+ to the left of the first evolved point and so must be identified
+ with the \textit{last} evolved point (8). The identifications are
+ shown in figure~\ref{fig:Periodic1}.
+ \begin{figure}[htbp]
+ \begin{center}
+ \includegraphics[scale=0.5]{Periodic1.eps}
+ \caption{Periodic grids identify boundary points and interior
+ points. The interior points are given by circles and the
+ boundary points by squares. The identifications are shown by the
+ arrows.}
+ \label{fig:Periodic1}
+ \end{center}
+ \end{figure}
+
+ We then want to place a refined region across the entire width of
+ the domain but also have the correct periodic boundaries. The
+ crucial point is to ensure that points that are identified on the
+ coarse grid are identified in the same way on the fine grid. For
+ example, point 2 must still be identified with point 8. Therefore
+ point 2 must remain a boundary point and point 8 an interior
+ point. Point 4 must also be identified with point 10. There are
+ therefore 2 possibilities:
+ \begin{itemize}
+ \item Point 3 is the first interior point on the refined grid and
+ point 8 the last. Therefore the point to the ``left'' of point 3,
+ point 2, is still identified with point 8.
+ \item Point 4 is the first interior point on the refined grid and
+ point 9 the last. This possibility is illustrated in
+ figure~\ref{fig:Periodic2}.
+ \end{itemize}
+ \begin{figure}[htbp]
+ \begin{center}
+ \includegraphics[scale=0.5]{Periodic2.eps}
+ \caption{A periodic refined grid. The boundary zones are blue
+ plus signs, the interior blue crosses. Note that the interior
+ points on the refined grid extend \textit{outside} the
+ interior on the base grid. However, equivalent points on both
+ grids coincide.}
+ \label{fig:Periodic2}
+ \end{center}
+ \end{figure}
+
+ So to specify the particular refined grid shown in
+ figure~\ref{fig:Periodic2} you would specify a lower bound of 2, an
+ upper bound of 11, and that both boundaries are outer boundaries. An
+ example for a $44 \times 7 \times 7$ grid where the ``centre half''
+ of the grid in the $x$ direction is refined and the refined region
+ covers the entirety of the $y$ and $z$ directions, you could use
+\begin{verbatim}
+carpet::max_refinement_levels = 2
+carpetregrid::refinement_levels = 2
+carpetregrid::refined_regions = "manual-gridpoint-list"
+carpetregrid::gridpoints = "[ [ ([22,2,2]:[62,11,11]:[1,1,1]) ] ]"
+carpetregrid::outerbounds = "[ [ [[0,0],[1,1],[1,1]] ] ]"
+\end{verbatim}
+
+\end{enumerate}
+
+%% \bibliographystyle{amsalpha} % initials + year
+%% \bibliography{carpet}
+
+\begin{thebibliography}{{Pen}}
+
+\bibitem[AA]{Carpet__astro-psu-edu}
+{Department for} Astronomy and Astrophysics,
+ \emph{{http://www.astro.psu.edu/}}.
+
+\bibitem[{Cac}]{Carpet__cactuscode-org}
+{Cactus web pages}, \emph{{http://www.cactuscode.org/}}.
+
+\bibitem[CVS]{Carpet__CVS}
+CVS, \emph{{http://www.cvshome.org/}}.
+
+\bibitem[gnu]{Carpet__gnuplot-info}
+gnuplot, \emph{{http://www.gnuplot.info/}}.
+
+\bibitem[HDF]{Carpet__HDF}
+HDF, \emph{{http://hdf.ncsa.uiuc.edu/}}.
+
+\bibitem[{Pen}]{Carpet__psu-edu}
+{Penn State University}, \emph{{http://www.psu.edu/}}.
+
+\bibitem[Sch]{Carpet__erik-schnetter}
+Erik Schnetter, \emph{{\textless
+ schnetter@uni-tuebingen.de\textgreater}}.
+
+\bibitem[Sha]{Carpet__FlexIO}
+John Shalf, \emph{{FlexIO} library:
+ {http://zeus.ncsa.uiuc.edu/\textasciitilde jshalf/FlexIO/}}.
+
+\bibitem[TAT]{Carpet__tat-physik-uni-tuebingen-de}
+Theoretische Astrophysik T\"ubingen,
+ \emph{{http://www.tat.physik.uni-tuebingen.de/}}.
+
+\end{thebibliography}
+
+% Do not delete next line
+% END CACTUS THORNGUIDE
+
+\end{document}
diff --git a/Carpet/doc/first-steps.tex b/Carpet/doc/first-steps.tex
new file mode 100644
index 000000000..cfa0e7577
--- /dev/null
+++ b/Carpet/doc/first-steps.tex
@@ -0,0 +1,583 @@
+% $Header: /home/eschnett/C/carpet/Carpet/Carpet/doc/first-steps.tex,v 1.3 2004/08/05 14:43:52 schnetter Exp $
+
+\documentclass[11pt]{article}
+
+\usepackage{epsfig,amsmath,amssymb,amsfonts,mathrsfs}
+\RequirePackage{amssymb}
+\RequirePackage{amsfonts}
+\pagestyle{headings}
+
+%\bibliographystyle{chicagoa}
+%\bibliography{uli.bib}
+
+\setlength{\textwidth}{17cm}
+\setlength{\oddsidemargin}{-0.4cm}
+\setlength{\topmargin}{0.0cm}
+\setlength{\textheight}{22cm}
+%\setlength{\parindent}{0.5cm}
+
+\numberwithin{equation}{section}
+
+\renewcommand{\textfraction}{0}
+\renewcommand{\topfraction}{1}
+%\renewcommand{\bottomfraction}{1}
+\renewcommand{\floatpagefraction}{1}
+
+\begin{document}
+
+
+\title{A user's perspective on getting started with Carpet}
+\author{Ulrich Sperhake, Erik Schnetter}
+\date{$ $Date: 2004/08/05 14:43:52 $ $}
+\maketitle
+
+
+
+%=============================================================================
+\section{Introduction}
+
+These notes provide information on how to install and use the package
+Carpet as seen from a user's point of view. Carpet is a set of Thorns
+that provide fixed and to some extent adapted mesh refinement in
+the Cactus environment. As Cactus is a necessary requirement for
+using Carpet, these notes will inevitably contain some information about
+Cactus as well.
+
+The reader should regard these notes as a first draft and the information
+represents the author's personal experiences rather than an exhaustive
+recipe on getting Carpet to work on an arbitrary given platform. In this sense I
+am hopeful that users as well as developers will continue to add to this
+document to make it more useful in the future.
+
+Useful starting points for retrieving more detailed information on
+various issues are the project's web pages\\
+
+\hspace{1cm}{\tt http://www.cactuscode.org}\\
+
+\hspace{1cm}{\tt http://www.carpetcode.org}\\
+
+
+%=============================================================================
+\section{Downloading the necessary packages}
+
+One first needs to download the Cactus version 4.0.13 (or
+alternatively for the more daring the development version).
+A more detailed description about how this is done can be found on the
+Cactus web page
+%
+\begin{center}
+ {\tt http://www.cactuscode.org}
+\end{center}
+%
+Here we will summarize the required steps for downloading the complete
+Cactus-4.0.13 package. Change to a suitable directory on your system
+and log onto the Cactus cvs server via\\
+
+\hspace{1cm}{\tt cvs -d :pserver:cvs\_anon@cvs.cactuscode.org:/cactus login} \\
+
+which will prompt you for a password which is {\tt anon}.
+For the development version you will need to choose
+the directory {\tt /cactusdevcvs} instead.
+Next check out the Cactus
+flesh which will create a directory {\tt Cactus} under your current location\\
+
+\hspace{1cm}{\tt cvs -d :pserver:cvs\_anon@cvs.cactuscode.org:/cactus checkout Cactus} \\
+
+The rest of the cactus checkout is best done with the scripts that are shipped
+as part of Cactus. Change to that directory\\
+
+\hspace{1cm}{\tt cd Cactus} \\
+
+and enter the command\\
+
+\hspace{1cm}{\tt make checkout} \\
+
+That will give you various options to choose those parts of cactus you
+want to ckeckout. The default option {\em arrangements} is quite
+satisfactory for this purpose, so just hit return. You will then be
+given a list of (at the time of writing) 13 Cactus arrangements. Getting
+them all is a good idea, so choose once more the default option by pressing
+return. Depending on your internet connection this may take a while.
+Once all is downloaded you want to quit the script. This is not the
+default option, so type {\tt q} and hit return. \\
+
+In order to run the WaveToy example that comes with CarpetExtra
+(see below) you will need to check out
+Erik Schnetter's package TAT. First switch the directory to\\
+
+\hspace{1cm}{\tt cd arrangements} \\
+
+then checkout\\
+
+\hspace{1cm}{\tt cvs -d :pserver:cvs\_anon@cvs.cactuscode.org:/arrangements checkout TAT} \\
+
+Again this may take a little time. Finally you will have to check out the
+{\tt Carpet} package. As of mid April 2004 Carpet consists of 4 arrangements.
+{\tt Carpet} contains all the necessary thorns you will need to run Carpet
+in the first place. The latest cutting edge thorns currently under
+development are located in {\tt CarpetDev}. Do not be too surprised, though,
+if you find some the tools in there not to be fully functional.
+Packages not required to run {\tt Carpet}, but probably useful for
+various purposes, such as scalar wave examples,
+are located in {\tt CarpetExtra}.
+% Detailed instructions can be found on the
+% web page
+%
+% \begin{center}
+% {\tt http://www.carpetcode.org}\\
+% \end{center}
+%
+Remain in the {\tt arrangements} directory for this purpose and log
+into the carpet cvs-server\\
+
+\hspace{1cm}{\tt cvs -d :pserver:cvs\_anon@cvs.carpetcode.org:/home/cvs/carpet login}\\
+
+the password being once more {\tt anon}. Next checkout Carpet by typing\\
+
+\hspace{1cm}{\tt cvs -d :pserver:cvs\_anon@cvs.carpetcode.org:/home/cvs/carpet checkout Carpet}
+
+\hspace{1cm}{\tt cvs -d :pserver:cvs\_anon@cvs.carpetcode.org:/home/cvs/carpet checkout CarpetExtra}
+
+\hspace{1cm}{\tt cvs -d :pserver:cvs\_anon@cvs.carpetcode.org:/home/cvs/carpet checkout CarpetDev}\\
+
+
+
+%=============================================================================
+\section{Documentation}
+
+Documentation about Cactus, Carpet and their separate thorns comes
+in different forms. Most importantly you generate the UsersGuide and
+ReferenceManual for Cactus by going into the {\tt Cactus} directory
+and typing
+
+\hspace{1cm}{\tt make UsersGuide}\\
+
+\hspace{1cm}{\tt make ReferenceManual}\\
+
+\hspace{1cm}{\tt make ArrangementDoc}\\
+
+\hspace{1cm}{\tt make ThornDoc}\\
+
+(four separate commands). They will be created in postscript format under
+the directory\\
+
+\hspace{1cm}{\tt doc}\\
+
+relative to your current position, i.e.\,the {\rm Cactus} directory.
+In addition each thorn may contain a subdirectory {\tt doc} where
+the author (or users) may store additional documentation, typically
+in the form of a file {\tt documentation.tex}.
+
+
+%=============================================================================
+\section{Compilers}
+
+Before we indulge in using Cactus/Carpet, we have to address issues
+concerning the system you are working on. We begin with the compilers
+although we will not be able to deal with the subject in an exhaustive
+fashion.
+Basically these notes list our experiences with local machines
+(i.e. at Penn State) and may or may not be valid for your environment.
+Users are encouraged to add their experiences to this list.
+
+At Penn State we largely work with the Intel compilers and the success
+of compilations has been found to depend sensitively on which version of the
+Intel compilers we are using. We will discuss some error messages
+encountered in the process of compiler testing below.
+
+Free download (at least for Linux) of
+the Intel compiler (Fortran and C++) for
+non-commercial private or academic use is available from the web page
+%
+\begin{center}
+ {\tt http://downloadfinder.intel.com/scripts-df/support\_intel.asp}
+\end{center}
+%
+(click on Software Development, check for the compilers on your system
+and follow their instructions).
+
+In case you haven't got root access,
+you may need to install the compiler locally or you will have to ask your
+sys-admin. Additional difficulties may arise in case you have no
+root access, i.e. install locally, while your sys-admin keeps
+some older version installed. In order to make sure that no conflict
+arises thereof (e.g. by linking against old versions of the library)
+the environment variable {\tt LD\_LIBRARY\_PATH} must point to your local
+new version and not to the old version in {\tt /usr/local} or wherever.
+You will probably end up with error messages such as
+{\tt undefined symbols ...} otherwise. We decided to use the Intel compiler
+for both Fortran and C++ code. This was mainly a result of the current
+version of g++ not having the complete stl libraries that are made use of
+extensively in Carpet. \\
+An important aspect of the Intel compilers is that they come in various
+different versions. Even the same version number (say 7.1) comes in many
+different releases. You can check this by typing \\
+
+\hspace{1cm}{\tt ifc -V}\\
+
+and likewise for {\tt icc}. Note in particular the date of build given in the
+form of {\em 20030307Z}. This corresponds to the March 2003 build of
+version 7.1 and caused difficulties for me. I encountered an error message
+like\\
+
+\hspace{1cm}{\tt /home/terminator/sperhake/src/2004\_02\_16\_cactus-FMR/configs/test01/build/CarpetLib/}
+
+\hspace{1cm}{\tt data.cc(173): error: no instance of overloaded function "dist::datatype"}
+
+\hspace{1cm}{\tt matches the argument list}\\
+
+This can be rectified by switching to a newer release, at least the
+September 2003 build of version 7.1 (I'd recommend doing that for both
+the Fortran and the C++ compiler).
+
+Some Cactus-Carpet users have reported problems, such as segmentation faults,
+by using the most recent versions of the Intel compilers, namely the March
+2004 release of version 7.1 and the latest version 8.0. So far we have
+been using the former of these without encountering any difficulties,
+but you should probably stick to the December or September 2003 version
+of 7.1 if you can.
+
+On my Gentoo Linux laptop, on the other hand, I experienced trouble with
+the September 2003 version of 7.1.
+I received error messages like\\
+
+\hspace{1cm}{\tt struct stat stat\_bbox ...}
+
+\hspace{1cm}{\tt Incomplete components in structure not allowed}\\
+
+at compilation (I have forgotten the exact wording, but you'll recognize it).
+I managed to work around this by using the Intel Fortran
+and C++ compilers version 8.0 (build October 2003).
+As I have not done extensive code development on this laptop, though,
+I cannot really comment on the potential issues concerning the 8.0 version
+mentioned above. \\
+%In case you decide to use version 8.0, however, note that it does not
+%accept the {\tt rpath} option as specified in the {\tt LDFLAGS} entry
+%of the configuration file (see below). This option, for
+%what little I know, tells the linker about the paths for shared libraries.
+%The error message obtained with the {\tt rpath} option was something like\\
+
+%\hspace{1cm}{\tt undefined reference to CCTK\_FullVersion, CCTK\_TimeInfo}\\
+
+Trouble may also arise from preprocessing
+in case you are using RedHat 7.3 (possibly also with other versions).
+This is essentially related to the
+treatment of white space in Fortran files.
+Should you encounter rather stupid error messages which clearly indicate
+that proper lines of Fortran have been corrupted by introducing white space
+(e.g. line breaks) at preprocessing, you should check your cpp and possibly
+download another (probably older) version.
+Details about this can be found on
+%
+\begin{center}
+ {\tt http://www.cactuscode.org/Documentation/Architectures/Linux.html}
+\end{center}
+%
+which also gives a link to the preprocessor of the older RedHat 6.2
+distribution. I downloaded that older version and it solved the preprocessing
+problems I encountered prior to that. \\
+
+
+%=============================================================================
+\section{Libraries}
+\label{sec: libraries}
+
+As much as the compiler issue is strongly dependent on your platform,
+the extent to which you will have to install new libraries will depend on
+what your system administrator has already done for you. Again these notes
+cannot be exhaustive and rather focus on our experience. Feel free,
+as before, to add to our list.
+
+%=============================================================================
+\subsection{HDF library}
+
+The HDF5 library is required for handling in/output in
+a particular binary data
+format. The use of these libraries in Cactus/Carpet is entirely optional,
+but in the end I found it easier to install the libraries than to
+convince my system that I do not want to use them. They should be useful
+in the long run anyway, so I recommend their installation unless
+they are already part of your system.
+
+Let us start with the hdf5 libraries. The binary version can be obtained from
+%
+\begin{center}
+ {\tt ftp://ftp.ncsa.uiuc.edu/HDF/HDF5/hdf5-1.6.1/bin}
+\end{center}
+%
+As before I prefer compiling the source which you can get from
+%
+\begin{center}
+ {\tt ftp://ftp.ncsa.uiuc.edu/HDF/HDF5/hdf5-1.6.1/src}
+\end{center}
+%
+Again the instructions in the {\tt INSTALL} file are straightforward. I
+included the C++ interface by setting the options\\
+
+\hspace{1cm}{\tt ./configure --enable-cxx}\\
+
+and used the variables {\tt CPPFLAGS} and {\tt LDFLAGS} to ensure that the
+szip libraries were found (see {\tt INSTALL} file). The Fortran interface
+did not work for me, so I did not enable that. In future versions of
+this document this issued may be readdressed. Finally you may need to point
+the environment variable {\tt LD\_LIBRARY\_PATH} in your {\tt .bashrc}
+or {\tt .cshrc} to the directory containing the hdf5 library.\\
+
+
+%=============================================================================
+\subsection{Parallelization}
+
+This subsection is relevant only if you plan to do multi processor runs
+(which you are rather likely to do, though, since it is a key feature of
+Cactus/Carpet). There are various packages that take care of
+parallelization, such as {\tt MPICH} or {\tt lam} and your machine
+will probably come equipped with one of these.
+
+I have only had the need to install a message passing interface
+{\tt (MPI)} on my laptop. It's a single processor laptop but
+you can emulate multi-processor runs none the less. Furthermore
+it appears to me that Carpet expects {\tt MPI} at least in the
+form of a header file {\tt mpi.h}, so you'd better install it.
+I chose the {\tt lam} package for this
+purpose, so that is the only experience I have to report.
+
+Installation of this package was straightforward on my Gentoo
+Linux laptop by typing\\
+
+\hspace{1cm}{\tt emerge lam-mpi}\\
+
+Depending on your Linux flavor installation may be done differently,
+for example using {\tt rpm}. {\tt lam} is started by typing\\
+
+\hspace{1cm}{\tt lamboot}\\
+
+and then executables can be started via\\
+
+\hspace{1cm}{\tt mpirun -np} $<$n$>$ $<$executable$>$\\
+
+where $<$n$>$ is the number of processors and $<$executable$>$
+the binary file (with full path) you want to run.
+
+
+%=============================================================================
+\section{Creating a configuration}
+
+%=============================================================================
+\subsection{The configuration file}
+
+Eventually we can start writing a configuration file for a Cactus-Carpet
+project. In this configuration file the paths to various files, such as
+libraries and compilers need to be specified. Naturally these paths will
+differ from machine to machine. In this subsection I will assume
+the installation path
+
+\hspace{1cm}{\tt /usr/local/}$<$name$>$\\
+
+for most libraries,
+where $<$name$>$ is the name of the library, e.g. {\tt hdf4} or {\tt szip}.
+I further assume that each of these directories contains subdirectories
+{\tt lib} and {\tt include} which contain the libraries and header files.
+Similarly I presume that all compilers/preprocessors are installed in the
+directory\\
+
+\hspace{1cm}{\tt /usr/local/for\_carpet/bin}\\
+
+This is, of course, not where they reside on your machine
+(nor on mine), but it'll be sufficient for this document and
+you will merely have to replace each of these paths with the correct one
+on your system.
+
+We are now in the position to create the configuration file, say
+{\tt mycode\_carpet.cfg} (you can store that file wherever you think
+convenient). We will focus on the most important entries
+in this file only. Please refer to the Cactus documentation
+for a more detailed description. First we specify information
+about the compilers\\
+
+\hspace{1cm}{\tt F90 \hspace{1cm} /usr/local/for\_carpet/bin/ifc}
+
+\hspace{1cm}{\tt F77 \hspace{1cm} /usr/local/for\_carpet/bin/ifc}
+
+\hspace{1cm}{\tt CC \hspace{1.2cm} /usr/local/for\_carpet/bin/icc}
+
+\hspace{1cm}{\tt CXX \hspace{1cm} /usr/local/for\_carpet/bin/icc}
+
+\hspace{1cm}{\tt CPP \hspace{1cm} /usr/local/for\_carpet/bin/cpp}
+
+\hspace{1cm}{\tt FPP \hspace{1cm} /usr/local/for\_carpet/bin/cpp}\\
+
+
+(the exact amount of white space between the variables {\tt F90, F77,...} and
+their entries should not matter and you may even put in an $=$ sign).
+Note that you do not need to specify the
+full path if your environment variable {\tt PATH} points to the correct
+versions of the compilers/preprocessors already.\\
+Next we need to specify information about the message passing interface.
+In my case that was {\tt lam}, so the next entries in my
+file {\tt mycode\_carpet.cfg} are\\
+
+\hspace{1cm}{\tt MPI \hspace{2.5cm} LAM}
+
+\hspace{1cm}{\tt LAM\_INC\_DIR \hspace{1cm} /usr/include}
+
+\hspace{1cm}{\tt LAM\_LIB\_DIR \hspace{1cm} /usr/lib}\\
+
+In case you are using a different {\tt MPI} package refer to the Cactus
+users guide to find the correct entry for {\tt MPI}. Make sure that you
+specify the correct paths for the corresponding header files
+and libraries (ask your sys-admin if necessary).\\
+Next we specify the libraries to be included in the compilation. For the
+7.1 version of the Intel compilers in combination with {\tt lam}
+we found the following to work fine\\
+
+\hspace{1cm}{\tt LIBS \hspace{2cm} crypt lapack blas g2c z BINDF90 CEPCF90
+F90 IEPCF90 PEPCF90}
+
+\hspace{4.2cm}{\tt POSF90 cprts cxa guide imf intrins irc ircmt ompstub svml}
+
+\hspace{4.2cm}{\tt unwind X11 ieeeio df m mpi lam pmpi}\\
+
+(all in one line). It goes without saying that all these libraries must
+be installed on your machine. Most of them probably are and the
+installation of some that may not is described in more detail above
+in Sec.\,\ref{sec: libraries}. \\
+The paths to some of these libraries may not be known automatically by the
+linker and needs to be specified separately. This is done with the variable
+{\tt LIBDIRS} which I had to set to\\
+
+\hspace{1cm}{\tt LIBDIRS \hspace{1.4cm} /usr/local/intel/compiler70/ia32/lib}
+
+\hspace{4.2cm}{\tt /usr/X11R6/lib /usr/local/IEEEIO/lib /usr/local/hdf4/lib}
+
+\hspace{4.2cm}{\tt /usr/lib/gcc-lib/i386-redhat-linux/egcs-2.91.66}\\
+
+(again on all in one line). As before you will have to adjust this line to
+your demands.\\
+Finally I set
+
+%\hspace{1cm}{\tt LDFLAGS \hspace{1.4cm} -Wl,-rpath,/usr/nrlocal/petsc-2.1.0/lib/libO/linux}\\
+
+\hspace{1cm}{\tt PTHREADS \hspace{1.2cm} yes}\\
+
+though I am not sure what this is exactly doing.
+%As has been mentioned above the first of these lines is valid for
+%version 7.1 of the Intel compiler and should be omitted if you are using
+%version 8.0.
+
+
+
+%=============================================================================
+\subsection{make-config}
+
+In order to create a configuration change into the {\tt Cactus}
+directory and type\\
+
+\hspace{1cm}{\tt make} $<$name$>${\tt-config options=}$<$config-file$>$\\
+
+where you can choose an arbitrary $<$name$>$ for your configuration and
+$<$config-file$>$ is the file (with full path) created in the previous
+subsection.
+
+%=============================================================================
+\subsection{Creating a thornlist}
+
+Next you will need to generate a thornlist, i.e.\,a list of all those
+thorns you want to compile. This is done in the {\tt Cactus} directory
+by typing\\
+
+\hspace{1cm}{\tt make} $<$name$>${\tt-thornlist}\\
+
+where $<$name$>$ must be the same as in setting up the configuration.
+This command
+will search all arrangements for all thorns and eventually prompt you
+whether you want to modify the list. As all thorns are activated by default
+you do want to modify the list and type {\em yes} and hit return. This
+will open an editor session where you can unselect thorns by putting a
+hash '\#' at the beginning of the line. Unselect all thorns in this
+way except for the following\\
+
+\hspace{1cm}{\tt CactusBase/Boundary}
+
+\hspace{1cm}{\tt CactusBase/CartGrid3D}
+
+\hspace{1cm}{\tt CactusBase/CoordBase}
+
+\hspace{1cm}{\tt CactusBase/IOBasic}
+
+\hspace{1cm}{\tt CactusBase/IOUtil}
+
+\hspace{1cm}{\tt CactusBase/LocalInterp}
+
+\hspace{1cm}{\tt CactusBase/SymBase}
+
+\hspace{1cm}{\tt CactusBase/Time}
+
+\hspace{1cm}{\tt Carpet/Carpet}
+
+\hspace{1cm}{\tt Carpet/CarpetIOASCII}
+
+\hspace{1cm}{\tt Carpet/CarpetIOHDF5}
+
+\hspace{1cm}{\tt Carpet/CarpetInterp}
+
+\hspace{1cm}{\tt Carpet/CarpetLib}
+
+\hspace{1cm}{\tt Carpet/CarpetReduce}
+
+\hspace{1cm}{\tt Carpet/CarpetRegrid}
+
+\hspace{1cm}{\tt Carpet/CarpetSlab}
+
+\hspace{1cm}{\tt CarpetExtra/IDScalarWave}
+
+\hspace{1cm}{\tt CarpetExtra/WaveToyF77}\\
+
+Before you compile, you need to apply one modification to the file\\
+
+{\tt arrangements/CarpetExtra/WaveToyF77/configuration.ccl}\\
+
+namely remove the entry {\tt Cart3d} from the list of {\tt REQUIRED}
+thorns. This thorn is actually required but, for some reason unknown
+to me, must not be mentioned here. It gave an error message complaining
+that there is no thorn {\tt Cart3d}. Having applied this modification
+you can start compiling by typing\\
+
+\hspace{1cm}{\tt make} $<$name$>$
+
+There is no guarantee, but at least you have a chance of compiling through
+without error messages (do not be intimidated by the odd warning, though).
+In case you still cannot compile, please add your wisdom to this document to
+help future users.
+
+
+%=============================================================================
+\subsection{Running the first application: WaveToyF77}
+
+If you've gotten this far, you should be able to run your first
+simulation with mesh refinement. Change to some convenient directory
+for this purpose and copy over from relative to the main {\tt Cactus}
+directory the parameter file\\
+
+\hspace{1cm}{\tt arrangements/CarpetExtra/WaveToyF77/par/wavetoyf77\_rad\_full\_rl2.par}\\
+
+You will need to adjust this parameter file a little to get it running (I am
+not aware of a WaveToy-parameter file that does not require such minor
+modification). First add to the first line beginning with {\tt ActiveThorns}
+the thorns {\tt Slab CoordBase SymBase} (that is within the quotes).
+Finally you should be able to run this example by typing something like\\
+
+\hspace{1cm}{\tt mpirun -np 1} $\tilde{\,\,}${\tt /Cactus/exe/cactus-}$<$name$>$ {\tt wavetoyf77\_rad\_full\_rl2.par}\\
+
+where $<$name$>$ is again the name of the configuration above. In case you do
+not have your main {\tt Cactus} directory under your home directory you will
+need to adjust that part in the command.\\
+By running this command you should obtain a directory
+{\tt wavetoyf77\_rad\_full\_rl2} with the resulting data in ascii format.
+You can check for example the file\\
+
+\hspace{1cm}{\tt wavetoyf77\_rad\_full\_rl2/phi.x.asc}\\
+
+(relative to the directory where you ran the code)
+which lists the data on the separate refinement levels.
+
+\end{document}
diff --git a/Carpet/doc/internals.tex b/Carpet/doc/internals.tex
new file mode 100644
index 000000000..3acbaa9b1
--- /dev/null
+++ b/Carpet/doc/internals.tex
@@ -0,0 +1,777 @@
+% $Header: /home/eschnett/C/carpet/Carpet/Carpet/doc/internals.tex,v 1.4 2003/05/03 13:29:23 schnetter Exp $
+
+\documentclass{article}
+
+\usepackage{amsfonts}
+\usepackage{amssymb}
+\usepackage[english] {babel}
+\usepackage{exscale}
+\usepackage[final]{graphicx}
+\usepackage[backref,draft=false]{hyperref}
+%\usepackage{concrete}
+\usepackage{mathpple}
+%\usepackage{pslatex}
+
+\newcommand{\todo}[1]{\rule{1em}{1ex}~{\small [{#1}]}}
+
+\sloppypar
+
+\begin{document}
+
+\title{Carpet under the hood}
+\author{Erik Schnetter \textless schnetter@uni-tuebingen.de\textgreater}
+\date{$ $Date: 2003/05/03 13:29:23 $ $}
+\maketitle
+
+\begin{abstract}
+ This document describes the internal workings of the Carpet
+ arrangement. Its intended readership are people who extend Carpet,
+ or who use Carpet more thant the average user. This document is
+ supposed to be read in conjuction with and guiding through the
+ source code.
+\end{abstract}
+
+\tableofcontents
+
+\section{Overview}
+
+ The Carpet driver, which lives in the Carpet arrangement, is
+ divided into several parts. The thorn \texttt{Carpet} is the main
+ driver piece; it provides all the routines and structures that
+ Cactus expects from it. The thorn \texttt{CarpetLib} is the
+ workhorse that does all the bookkeeping and data shuffling. Those
+ two alone form a valid Cactus driver; the other thorns provide
+ additional functionality. The thorns \texttt{CarpetInterp},
+ \texttt{CarpetReduce}, and \texttt{CarpetSlab} provide the
+ corresponding interpolation, reduction, and slabbing interfaces.
+ The thorns \texttt{CarpetIOASCII} and \texttt{CarpetIOFlexIO}
+ provide I/O methods. Finally, thorn \texttt{CarpetRegrid} provides
+ a user interface to select where and what to refine. (The actual
+ refinement is handled in \texttt{CarpetLib}.)
+
+
+
+\section{Terminology}
+
+ Carpet is called ``Carpet'' because a carpet consists of many
+ individual patches.
+
+ Carpet is a mesh refinement driver. It knows about a hierarchy of
+ \emph{refinement levels}, where each level is decomposed into a set
+ of cuboid \emph{grid patches}. For historic reasons it also has a
+ notion of \emph{multigrid levels}, but those are currently unused.
+ They might conceivably be reactivated to form multigrid stacks to
+ solve elliptic equations. The grid patch is the smallest unit of
+ grid points that Carpet deals with. Carpet parallelises by
+ assigning sets of grid patches to processors.
+
+ A multi-patch run is a run where more than one grid patch (of the
+ same refinement level) is assigned to a single processor. This is
+ a situation that can occur even without refinement. This is also a
+ situation that cannot occur with PUGH, so that most thorns cannot
+ handle this situation. In multi-patch runs one has to distinguish
+ between \emph{local mode}, where one has access to a single grid
+ patch, and \emph{global mode}, where one cannot access individual
+ grid patches, but can instead perfom global operations such as
+ synchronisation, interpolation, or reduction. This part of Cactus
+ is currently (2003-04-30) undergoing changes.
+
+ Carpet uses vertex-centered refinement. That is, each coarse grid
+ point coincides with a fine grid point. To \emph{regrid} means to
+ select a new set of grid patches for each refinement level. To
+ \emph{recompose} the grid hierarchy means to move data around.
+ Regridding is only about bookkeeping, while recomposing is about
+ data munging.
+
+ Each grid patch can be divided in up to four zones: the interior,
+ the outer boundary, and the ghost zone, and the refinement
+ boundary. The interior is where the actual compuations go on. The
+ outer boundary is where the users' outer boundary condition is
+ applied; from Carpet's point of view, these two are the same. (The
+ only difference is that Carpet sets \texttt{cctk\_bbox}
+ correspondingly.) The ghost zones are boundaries to other grid
+ patches on the same refinement level (that might live on a
+ different processor). The refinement boundary is the boundary of
+ the refined region in a level, and it is filled by prolongation
+ (interpolation) from the next coarser level. Both the ghost zones
+ and the prolongation boundary are filled by \emph{synchronising}.
+
+ Grid patches that are on the same refinement level never overlap
+ except with their ghost zones. Conversly, all ghost zones must
+ overlap with a non-ghost zone of another grid patch of the same
+ level. All refinement boundaries must overlap with a grid patch on
+ the next coarser level. (This is also called \emph{proper
+ nesting}.)
+
+ Except for exceptions, Carpet numbers grid point indices and time
+ levels with integers. It counts always in terms of the finest
+ grid, so that coarser grids have \emph{strides} that are powers of
+ the refinement factor. This has the advantage that different
+ refinement levels can use the same global numbering scheme.
+
+ The grid patches are described by a \emph{bounding box}
+ (abbreviated bbox, see \texttt{CarpetLib/src/bbox.*}.). This is a
+ triplet of \emph{vectors} (see \texttt{CarpetLib/src/vect.*}),
+ where each triplet specifies \emph{lower bound}, \emph{upper
+ bound}, and \emph{stride}, much as is conventional in Fortran.
+ Triplets are enclosed in round parentheses $(\cdot:\cdot:\cdot)$,
+ and vectors are enclosed in square brackets $[\cdot,\cdot,\cdots]$.
+ A typical grid patch might have a bounding box which is denoted by
+ $([0,0,0]:[20,20,20]:[2,2,2])$. This is to be read as
+ $(\textrm{lower}:\textrm{upper}:\textrm{stride})$, meaning that the
+ grid patch has one corner grid point at $[0,0,0]$, the diagonally
+ opposite corner grid point at $[20,20,20]$, and the grid points are
+ spaced two ``fine grid spacings'' apart. This grid patch contains
+ $11 \times 11 \times 11$ grid points. Empty bboxes have an upper
+ bound that is strictly lower than the lower bound. The files
+ \texttt{CarpetLib/src/vect.*} contains many useful routines to deal
+ with short vectors, and the files \texttt{CarpetLib/src/bbox.*}
+ contain routines deal with an algebra of bboxes. The files
+ \texttt{CarpetLib/src/bboxset.*} contain routines that handle sets
+ of bboxes.
+
+
+
+\section{The driver}
+
+ The driver consists of the two thorns \texttt{Carpet} and
+ \texttt{CarpetLib}. \texttt{Carpet} is the front end to
+ Cactus, while \texttt{CarpetLib} is the back end to the
+ machine. \texttt{Carpet} specifies the grid shape, decides when to
+ allocate and deallocate storage, cycles through thes schedule bins,
+ and passes all internal information in the \texttt{cGH} structure
+ to the thorns.
+
+
+
+\subsection{Specifying the grid extent}
+
+ \texttt{Carpet} defines the usual parameters necessary to specify
+ the extent of the grid. Everything that has to do with coordinates
+ and symmetries is handled elsewhere, and the driver does not know
+ about that.
+
+ The \texttt{global\_*} parameters specify the global extent of the
+ coarsest grid. Not all of this grid needs to be covered by grid
+ patches. It is conceivable to have an L-shaped simulation domain
+ without any refinement. This situation can be described to Carpet
+ by specifying a global shape that is the convex hull of the domain,
+ and then using two cuboid grid patchs to fill in the shape of
+ the~L.
+
+ The \texttt{ghost\_*} parameters specify the number of ghost zones.
+ The \texttt{periodic*} parameters are unused; they are only there
+ because some thorns look at these parameters. Carpet itself does
+ not supply periodic boundary conditions; they have to be handled by
+ another thorn. The size of the prolongation boundary is the same
+ as the number of ghost zones.
+
+ The parameter \texttt{max\_refinement\_levels} specifies the
+ maximum number of levels that can be present in a run, including
+ the base level. This parameter, together with
+ \texttt{refinement\_factor}, define the grid point numbering
+ scheme, which (see above) depends on the finest possible grid.
+ However, none of the finer levels will be activated automatically.
+ The \texttt{multigrid\_*} parameters are unused.
+
+ The parameter \texttt{base\_extents} specifies the shapes of the
+ grid patches that are present on the coarsest grid. This can be
+ used to set up e.g.\ an L-shaped domain. The parameter
+ \texttt{base\_outerbounds} specifies which of the grid patches'
+ boundaries are to be treated as outer boundaries, i.e.\ for which
+ of those \texttt{cctk\_bbox} should be set to 1.
+
+ Carpet currently ignores \texttt{enable\_all\_storage} and always
+ enables all storage. This is because it is not yet clear how
+ individual grid function can be allocated and deallocated while
+ still keeping enough data for the boundary prolongation.
+
+ Checksumming and poisoning are means to find thorns that alter grid
+ variables that should not be altered, or that fail to fill in grid
+ variables that they should fill in.
+
+ None of the above specifies anything about refined grids. Refined
+ grid are created and destroyed at run time, possibly guided by the
+ thorn \texttt{CarpetRegrid} which provides a nice user interface.
+
+
+
+\subsection{The timeline}
+
+ It is \texttt{Carpet}'s task to walk through the schedule bins and
+ call all user routines. Only some fairly fundamental
+ initialisation happens in the flesh before Carpet takes control.
+ The overall picture of what happens when is:
+\begin{enumerate}
+\item
+ Startup (see file \texttt{Carpet/src/CarpetStartup.cc}). This is
+ the only scheduled routine; everything else happens by overloading
+ and registering. This routine does nothing but registering and
+ overloading.
+\item
+ SetupGH (see file \texttt{Carpet/src/SetupGH.cc}). This routine
+ does the bulk of initialising Carpet. It sets up the internal
+ structures for all grid variables.
+\item
+ Initialise (see file \texttt{Carpet/src/Initialise.cc}). This
+ routine walks the initialisation part of the scheduling bins.
+\item
+ Evolve (see file \texttt{Carpet/src/Evolve.cc}). This routine
+ walks the evolution part of the scheduling bins. It also contains
+ the main evolution loop.
+\item
+ Shutdown (see file \texttt{Carpet/src/Shutdown.cc}). This routine
+ walks the shutdown part of the scheduling bins. Normally, nothing
+ interesting happens here.
+\end{enumerate}
+ These stages are explained in the following sections.
+
+
+
+\subsubsection{Initialisation}
+
+ (See file \texttt{Carpet/src/Initialise.cc}.) In this stage Carpet
+ initialises the simulation. This includes setting up the grids,
+ calling routines to register symmetries and boundary conditions, as
+ well as calculating the actual initial data on several refinement
+ levels. It traverses the scheduling bins in the following order:
+\begin{enumerate}
+\itemsep 0pt
+\item
+ Set \texttt{cctk\_iteration} to zero
+\item
+ Set \texttt{cctk\_time} to the initial time
+\item
+ PARAMCHECK
+\item
+ Loop over refinement levels, starting from coarsest:
+\item \quad
+ BASEGRID
+\item \quad
+ INITIAL
+\item \quad
+ POSTINITIAL
+\item \quad
+ POSTSTEP
+\item \quad
+ Regrid (possibly creating new levels)
+\item
+ End loop over refinement levels
+\item
+ Restrict from finer to coarser grids
+\item
+ If desired, perform Scott Hawley's initialisation scheme for three
+ timelevels
+\item
+ Loop over refinement levels, starting from coarsest:
+\item \quad
+ RECOVER\_VARIABLES
+\item \quad
+ CPINITIAL
+\item \quad
+ ANALYSIS
+\item \quad
+ OutputGH
+\item
+ End loop over refinement levels
+\end{enumerate}
+
+ In the beginning, only the coarsest level exists. The first loop
+ starts by initialising this level. At the end of this loop, more
+ levels are created if desired. This makes it possible to make this
+ decision depend on an automatic refinement criterion.
+
+
+
+\subsubsection{Evolution}
+
+ (See file \texttt{Carpet/src/Evolve.cc}.) In this stage Carpet
+ performs the main time evolution loop. This is further complicated
+ by the fact that finer grids need to take more and smaller time
+ steps than coarser grids. In Carpet's time step counting scheme,
+ which is based on the finest grid time steps, this means that the
+ coarser grids are skipped in the remaining time steps. Thus the
+ elegant recursive scheme is flattened out. The scheduling bins in
+ the main time evolution loop are traversed in the following order:
+\begin{enumerate}
+\itemsep 0pt
+\item
+ Advance \texttt{cctk\_iteration}
+\item
+ Loop over refinement levels, starting from coarsest:
+\item \quad
+ If the current level needs to be treated at this iteration:
+\item \quad \quad
+ Calculate current \texttt{cctk\_time}
+\item \quad \quad
+ Cycle time levels
+\item \quad \quad
+ PRESTEP
+\item \quad \quad
+ EVOL
+\item \quad \quad
+ POSTSTEP
+\item \quad \quad
+ Regrid
+\item
+ End loop over refinement levels
+\item
+ Restrict from finer to coarser grids
+\item
+ Loop over refinement levels, starting from coarsest:
+\item \quad
+ If the current level needs to be treated at this iteration:
+\item \quad \quad
+ CHECKPOINT
+\item \quad \quad
+ ANALYSIS
+\item \quad \quad
+ OutputGH
+\item
+ End loop over refinement levels
+\end{enumerate}
+
+ The condition whether a refinement level needs to be treated at the
+ current iteration is different for the two loops. In the first
+ loop, the coarse grids need to be advanced before the finer grids,
+ so the condition is $iter \,\mathrm{mod}\, stride = 1$. Here
+ $iter$ is the current iteration, and $stride$ the stride of the
+ current refinement level, i.e.\ the factor by which the finest grid
+ is finer than the current grid. In the second loop above, the
+ coarse grids need to be treated after the finer grids, so that the
+ condition reads $iter \,\mathrm{mod}\, stride = stride$.
+
+
+
+\subsection{Calling scheduled routines}
+
+ (See file \texttt{Carpet/src/CallFunction.cc}.) The process by
+ which the scheduling bins are traversed is different from the
+ process which actually calls the routines within the scheduling
+ bins. The former has to do with mesh refinement, making sure that
+ the coarse and fine grids are evolved in the right order. The
+ latter has to do with treating multiple patches, i.e.\ with local
+ mode and global mode operations, as mentioned above.
+
+ In the function \texttt{CallFunction}, all the arguments that are
+ passed to the scheduled routines have to be set up. Additionally,
+ the \texttt{cGH} structure has to be filled in. Some fields in the
+ \texttt{cGH} structure are always kept up-to-date during the
+ refinement level loops, such as the time step size and the grid
+ spacing. The file \texttt{Carpet/src/helper.cc} contains helper
+ routines that allow easy looping over refinement levels and over
+ grid patches. (Grid patches are also called \emph{compoments} in
+ Carpet. The expression component seems to be confusing, so that I
+ switched to using \emph{patch} instead. Some source code still
+ reflects the old conventsion.)
+
+ The function \texttt{CallFunction} first distinguishes between
+ global mode functions and local mode functions.
+\begin{description}
+\item[Global mode functions]
+ are called once (on each processor). They are passed all the
+ global data, such as \texttt{cctk\_gsh} and
+ \texttt{cctk\_delta\_space}, but none of the local data, such as
+ \texttt{cctk\_lsh} or \texttt{cctk\_bbox}. Grid functions are not
+ accessible, and they are passed as null pointers. However, grid
+ scalars and grid arrays are accessible. There is an untested
+ gateway to directly call local mode functions from global mode
+ functions.
+\item[Local mode functions]
+ might be called several times (on each processor), once for each
+ grid patch that is assigned to this processor. They receive the
+ global data as well as data for a single grid patch. It is illegal
+ to perform global operations, such as synchronisation,
+ interpolation, or reduction, in local mode.
+\end{description}
+
+ The distinction between global and local mode is only important for
+ multi-patch runs. For single-patch runs, the distinction does not
+ exist.
+
+ Multi-patch runs are only necessary when there are more grid
+ patches on a refinement level than there are processors. This is
+ normally not the case for fixed mesh refinement. Things are
+ different for adaptive mesh refinement, which can create many
+ refined regions.
+
+
+
+\subsection{Grid arrays and grid scalars}
+
+ Grid scalars are implemented as zero-dimensional grid arrays with
+ \texttt{DISTRIB=CONSTANT}.
+
+ Grid arrays are implemented as grid functions, where each grid
+ array group has their own refinement hierarchy that consists of a
+ single level only and is never changed at run time. Grid arrays
+ with less than 3 dimension are extended to have an extent of 1 (and
+ no ghost zones) in the remaining dimensions, so that all quantities
+ in Carpet have 3 dimensions\footnote{This is set by a compile-time
+ constant and could be changed to allow for grid functions and
+ arrays with more than 3 dimensions.}. \texttt{DISTRIB=CONSTANT} grid arrays
+ are implemented by internally enlarging the grid array in the $z$
+ direction, and then distributing this array onto the processors.
+
+
+
+\subsection{Flesh interfaces}
+
+ The flesh has many interfaces that need to be filled in by a
+ driver. These are in particular all the routines that are
+ overloaded in the SetupGH stage. Those overloaded routines as well
+ as other helper function are implemented in the following files:
+\begin{description}
+\itemsep 0pt
+\item[\texttt{Carpet/src/Checksum.cc}]
+ catching illegal changes to grid variables
+\item[\texttt{Carpet/src/Comm.cc}]
+ synchronisation, prolongation
+\item[\texttt{Carpet/src/Cycle.cc}]
+ time level handling
+\item[\texttt{Carpet/src/Poison.cc}]
+ catching uninitialised grid variables
+\item[\texttt{Carpet/src/Restrict.cc}]
+ restriction from finer to coarser grids
+\item[\texttt{Carpet/src/Storage.cc}]
+ enabling and disabling storage
+\item[\texttt{Carpet/src/helpers.cc}]
+ small low-level helper routines
+\item[\texttt{Carpet/src/variables.cc}]
+ the global variables that keep Carpet's current state (this is used
+ instead of a GH extension --- should probably be changed some time)
+\end{description}
+
+ Most of these files are fairly self-contained, and they mostly
+ marshal the actual work to \texttt{CarpetLib}.
+
+
+
+\subsection{Interfaces to other thorns}
+
+ Some other thorns, mostly from the Carpet arrangement, do need to
+ access internal data of Carpet. Carpet keeps its internal state in
+ global variables which are declared in
+ \texttt{Carpet/src/carpet\_public.hh} and defined in
+ \texttt{Carpet/src/variables.cc}. Entities that can be accessed
+ from C are declared in \texttt{Carpet/src/carpet\_public.h}; some
+ of these would be quite useful if they were provided by the flesh.
+
+
+
+\subsection{Missing parts}
+
+ \texttt{Carpet} does not handle staggered grids. \texttt{Carpet}
+ does not provide cell-centered refinement. \texttt{Carpet} always
+ enables all storage. \texttt{Carpet} does not run efficiently in
+ parallel.
+
+
+
+\section{The workhorse}
+
+ While \texttt{Carpet} provides the necessary interfaces to the
+ flesh, the grunt work is actually done by \texttt{CarpetLib}. This
+ thorn grew from an earlier mesh refinement of mine (Erik Schnetter)
+ library that was independent of Cactus. It has in the mean time
+ been thoroughly changed, and it does not make sense any more to use
+ it independent of Cactus. \texttt{CarpetLib} contains of three
+ major parts: a set of generic useful helpers, the grid hierarchy
+ and data handling, and interpolation operators. Especially the
+ latter could probably be separated out. While \texttt{CarpetLib}
+ is written in C++, the interpolators are written in
+ \textsc{Fortran77}.
+
+
+
+\subsection{The helpers}
+
+ The helpers correspond closely to Carpet's terminology. A class
+ \texttt{vect<T,D>} provides small \texttt{D}-dimensional vectors of
+ the type \texttt{T}, with all the operators that one has learned to
+ enjoy from Haskell and Fortran 90. A \texttt{vect} corresponds to
+ a grid point location. The class \texttt{bbox<T,D>} provides
+ \texttt{D}-dimensional bounding boxes using type \texttt{T} as
+ indices. A \texttt{bbox} defines the location and shape of a grid
+ patch. Finally, \texttt{bboxset<T,D>} is a collection of \texttt{bbox}es.
+ \texttt{bboxsets} are a useful extension of the algebra of bboxes, as it
+ closes the \texttt{bbox} algebra under the union operation.
+
+ The files \texttt{CarpetLib/src/defs.*} defines useful small
+ helpers and instantiates the STL templates.
+ \texttt{CarpetLib/src/dist.*} provides some routines around MPI.
+ Carpet is closely coupled to MPI and does not work without it.
+
+ (Instead of inserting switches into Carpet to make it work without
+ MPI, it would make more sense to use a dummy version of MPI. PETSc
+ does contain such a dummy version. It is also easily possible to
+ use a free MPI version such as MPICH and use that to run on a
+ single processor. However, I cannot see any real need for making
+ Carpet work without MPI.)
+
+
+
+\subsection{The grid hierarchy}
+
+ The grid hierarchy is described by a set of classes. Except for
+ the actual data, all structures and all information is replicated
+ on all processors.
+\begin{description}
+\item[\texttt{gh}]
+ is a grid hierarchy. It describes, for each refinement level, the
+ location of the grid patches. This \texttt{gh} does not contain
+ ghost zones or prolongation boundaries. There exists only one
+ common \texttt{gh} for all grid functions.
+\item[\texttt{dh}]
+ is a data hierarchy. It extends the notion of a \texttt{gh} by
+ ghost zones and prolongation boundaries. The \texttt{dh} does most
+ of the bookkeeping work, deciding which grid patches interact with
+ what other grid patches through synchronisation, prolongation,
+ restriction, and boundary prolongation. Unexpected situations are
+ often caught in one of \texttt{dh}'s many self checks. As all grid
+ functions have the same number of ghost zones, there exists also
+ only one \texttt{dh} for all grid functions.
+\item[\texttt{th}]
+ is a time hierarchy. It extends the notion of a \texttt{gh} by
+ multiple time levels. There exists one \texttt{th} per grid
+ function group. This is a small class that keeps track of the
+ current time on the different refinement levels. (Note that
+ different refinement levels usually live at different times.)
+\item[\texttt{gf}]
+ is a grid function of a certain variable type. There is one
+ instance of \texttt{gf} for every grid function, whether it has
+ storage or not. Each \texttt{gf} is associated with a \texttt{dh}
+ and a \texttt{th} and holds the storage for all levels and all
+ patches. It provides interfaces to access and modify these data,
+ either directly or through interpolation operators. \texttt{gf}
+ also handles the data movement during a regridding operation.
+\item[\texttt{ggf}]
+ is an abstract superclass of \texttt{gf} which is independent of
+ the variable type. This is necessary in C++ to prevent egregious
+ code duplication due to class templates. Most of the routines in
+ \texttt{gf} are actually declared in \texttt{ggf}, and they either
+ are virtual functions themselves, or they call virtual functions
+ that are declared in \texttt{gf}.
+\item[\texttt{data}]
+ is a container for a grid patch of a certain variable type. This is
+ a glorified multi-dimensional array that knows how to move between
+ processors. \texttt{data} is not only used to store the grid
+ patches that make up a \texttt{gf}, it is also used to move parts
+ of patches around, e.g.\ for synchronisation or prolongation.
+\item[\texttt{gdata}]
+ is an abstract superclass of \texttt{data} for much the same
+ reasons as for \texttt{ggf}. All information that is independent
+ of the variable type is kept in \texttt{gdata}.
+\end{description}
+
+
+
+\subsection{The interpolators}
+
+ There are three kinds of ``interpolators'': for prolongation, for
+ restricting, and for copying. The latter is only a glorified
+ hyperslabber that moves parts of grid patches between grid patches.
+
+ The interpolators used for restriction and prolongation are
+ different from those used for the generic interpolation interface
+ in Cactus. The reason is that interpolation is expensive, and
+ hence the interpolation operators used for restriction and
+ prolongation have to be streamlined and optimised. As one knows
+ the location of the sampling points for the interpolation, one can
+ calculate the coefficients in advance, saving much time compared to
+ calling a generic interpolation interface.
+
+
+
+\subsubsection{Restriction}
+
+ Restriction operators move data from finer to coarser grids. They
+ are typically called after both the coarse and the fine grid have
+ been advanced to the same time, and they overwrite parts of the
+ coarse grid with information from the fine grid, coupling the
+ coarse grid evolution to the fine grid evolution. In principle,
+ there could be restriction operators with different orders of
+ accuracy. Currently only a single restriction operator is
+ implemented that uses sampling.
+
+ The interface of the restriction operator (see file
+ \texttt{CarpetLib/src/restrict\_3d\_real8.F77}) is
+\begin{verbatim}
+subroutine restrict_3d_real8
+ (src, srciext, srcjext, srckext,
+ dst, dstiext, dstjext, dstkext,
+ srcbbox, dstbbox, regbbox)
+
+ integer srciext, srcjext, srckext
+ CCTK_REAL8 src(srciext,srcjext,srckext)
+ integer dstiext, dstjext, dstkext
+ CCTK_REAL8 dst(dstiext,dstjext,dstkext)
+ integer srcbbox(3,3), dstbbox(3,3), regbbox(3,3)
+\end{verbatim}
+ This interpolator assumes that space has three dimensions. The
+ arrays \texttt{src} and \texttt{dst} contain the source (fine) and
+ destination (coarse) grid patches, stored in Fortran order, as is
+ customary in Cactus. The arrays \texttt{src} and \texttt{dst} have
+ the shapes \texttt{(srciext,srcjext,srckext)} and
+ \texttt{(dstiext,dstjext,dstkext)}, respectively --- this
+ corresponds to the \texttt{cctk\_lsh} field in the \texttt{cGH}
+ structure.
+
+ The three bboxes describe the location and shape of the two arrays
+ and of the region that should be prolongated in the global grid
+ point index system. That is, while the two arrays \texttt{src} and
+ \texttt{dst} are stored as dense arrays, they correspond to grid
+ patches which in general have non-unit strides in the global index
+ system. As prolongation is an operation that is performed between
+ overlapping grids, the prolongation region is the same for both the
+ coarse and the fine grids.
+
+ A few constraints must hold for these data. For example, the
+ shapes of the arrays must be the same as the shapes defined by the
+ bounding boxes; the strides in the bounding boxes must differ by
+ the refinement factor; the bounding boxes must overlap, and the
+ region's bounding box must be contained in the arrays bounding
+ boxes, etc. Checking these constraints makes up about three
+ quarters of the restriction routine.
+
+ The bboxes themselves are here represented as Fortran arrays.
+ Their meaning is
+\begin{description}
+\itemsep 0pt
+\item[\texttt{bbox(:,1)}]
+ lower boundary (inclusive)
+\item[\texttt{bbox(:,2)}]
+ upper boundary (inclusive)
+\item[\texttt{bbox(:,3)}]
+ stride
+\end{description}
+
+
+
+\subsubsection{Prolongation}
+
+ There are many prolongation operators implemented. They differ in
+ the order of their interpolation in space (first and third, or
+ linear and cubic interpolation) and in time (first and second, or
+ linear and quadratic). The higher the order of interpolation, the
+ larger is the stencil, i.e.\ the more ghost zones and time levels
+ are necessary, and the more expensive the operation becomes.
+
+ The prolongation operators live in the files
+ \texttt{CarpetLib/src/prolongate\_3d\_real8*.F77}, and the file
+ names indicate their orders: \texttt{$n$tl} stands for $n$ time
+ levels, and \texttt{o$n$} stands for an order $n$ interpolation in
+ space (which uses a stencil that is $n+1$ grid points wide).
+
+ Apart from taking more than one \texttt{src} array argument when
+ using more than one time level, the interface to the prolongation
+ operator is equivalent to that of the restriction operator
+ described above.
+
+
+
+\section{Regridding, how and where and when}
+
+ The thorn \texttt{Carpet} provides a routine
+ \texttt{RegisterRegridRoutine} where one can register a regridding
+ routine. Such a regridding routine does not have to actually
+ regrid anything, it only has to return the new desired grid
+ hierarchy, i.e.\ basically a description of a \texttt{gh}.
+
+ Thorn \texttt{CarpetRegrid} provides a user interface to the
+ regridding routines in Carpet. All it does is take a regridding
+ specification from the user and translate that into a \texttt{gh}.
+ As usual, the parts where the computer has to listen to what a
+ human being intends are the most complicated.
+
+ As humans are usually more adept at getting used to computers than
+ the other way around, it is useful and probably necessary to get
+ acquainted with how Carpet thinks in order to make it do what is
+ intended.
+
+ Carpet does not deal with real-valued coordinates. Carpet deals
+ with integer grid point locations only, and it counts grid points
+ in terms of the finest possible grid (not the finest currently
+ existing grid). The finest possible grid is defined by the maximum
+ number of refinement levels set in \texttt{Carpet}. Changing this
+ parameter will change the meaning of many other values in parameter
+ files, such as e.g.\ iteration numbers (termination, output). The
+ only parameter that is specified in terms of the coarsest grid is
+ the shape of the coarsest grid in the \texttt{global\_*} parameters
+ of \texttt{Carpet}. I therefore suggest to set
+ \texttt{max\_refinement\_levels} to some large number (e.g.\ 10),
+ and then not changing it while experimenting with other parameter
+ settings.
+
+ Carpet also does not know about symmetries. When specifying the
+ location of a fine grid in terms of grid points, it is the
+ responsibility of the user to place the fine grid correctly. For
+ that one has to take ghost zones and symmetry zones into account.
+
+ It is also possible to specify the fine grid locations in terms of
+ real-valued coordinates. In this case, \texttt{CarpetRegrid}
+ translates these into integer grid points. A good translation is
+ quite complicated, because it has to take many user expectations
+ into account, such as the location of the origin, staggering with
+ respect to the origin, symmetry boundary conditions, the number of
+ ghost zones etc. The current translation is naive and leads to
+ unexpected results in many cases. A routine that does most of the
+ time what the user expects while being easy to understand is
+ probably important for the ease of use of Carpet, but it might be
+ some time until it is written.
+
+ \texttt{CarpetRegrid} contains also a routine that measures the
+ error, as provided in a grid function, and the automatically
+ decides where to refine. This is called AMR (adaptive mesh
+ refinement) if it works efficiently.
+
+ Much of \texttt{CarpetRegrid} is just slabbed together in an
+ attempt to find out what people need and expect. The thorn is a
+ mess, and a complete rewrite might be a good idea, once one knows
+ what exactly the rewritten thorn should do.
+
+
+
+\section{Random ramblings}
+
+ Carpet uses the STL, because the STL provides very useful container
+ classes such as vectors, sets, and lists. Writing these abstract
+ datatypes oneself does not make sense in these times. It makes
+ much more sense to politick computer administrators to upgrade
+ their software.
+
+ The STL and \texttt{CarpetLib}'s classes need to be instantiated
+ explicitly. Several compilers have several ``automatic'' schemes
+ that handle all template issues ``just fine''. Except they don't.
+ One wants to select the following: No automatic inclusion of
+ \texttt{.cc} files, no automatic template instantiation at link
+ time. Instead, most templates are instantiated explicitly by
+ \texttt{CarpetLib}. It is also necessary to specify to instantiate
+ used templates automatically. The explicit instantiations of
+ \texttt{CarpetLib}'s classes live in the \texttt{.cc} files
+ corresponding to the \texttt{.hh} file that define the templates.
+ The STL templates are instantiated in the file
+ \texttt{CarpetLib/src/defs.cc}.
+
+ Carpet makes extensive use of the \texttt{assert()} macro in C.
+ This is a quick and easy way to ensure that a certain condition
+ holds. Assert statements abort the code if the condition does not
+ hold. Although I try to provide useful error messages to the user,
+ many unexpected cases are only caught deep inside Carpet and
+ manifest themselves as assertion failures. If you report an
+ assertion failure, it is vitally important to remember
+ theaccompanying file name and line number. It would also be useful
+ to extract from the core file a stack backtrace and the values of
+ the local variables of the current stack frame.
+
+ Using symmetry boundary conditions such as octant mode is currently
+ still awkward in Carpet. There are several reasons for this:
+ \texttt{CarpetRegrid} does not know about symmetries, and hence
+ doesn't take them into account when choosing refinement regions.
+ The symmetry conditions on the finer grid might be different from
+ the conditions on the coarser grids, and the symmetry thorns cannot
+ cope with this, so this situation must be avoided: one cannot use
+ \texttt{avoid\_origin=yes}, because the finer grids all have
+ \texttt{avoid\_origin=no} due to the vertex-centred refinement.
+
+\end{document}
diff --git a/Carpet/doxygen/Doxyfile b/Carpet/doxygen/Doxyfile
new file mode 100644
index 000000000..688dc1143
--- /dev/null
+++ b/Carpet/doxygen/Doxyfile
@@ -0,0 +1,1080 @@
+# Doxyfile 1.3.4
+
+# This file describes the settings to be used by the documentation system
+# doxygen (www.doxygen.org) for a project
+#
+# All text after a hash (#) is considered a comment and will be ignored
+# The format is:
+# TAG = value [value, ...]
+# For lists items can also be appended using:
+# TAG += value [value, ...]
+# Values that contain spaces should be placed between quotes (" ")
+
+#---------------------------------------------------------------------------
+# Project related configuration options
+#---------------------------------------------------------------------------
+
+# The PROJECT_NAME tag is a single word (or a sequence of words surrounded
+# by quotes) that should identify the project.
+
+PROJECT_NAME = Carpet
+
+# The PROJECT_NUMBER tag can be used to enter a project or revision number.
+# This could be handy for archiving the generated documentation or
+# if some version control system is used.
+
+PROJECT_NUMBER =
+
+# The OUTPUT_DIRECTORY tag is used to specify the (relative or absolute)
+# base path where the generated documentation will be put.
+# If a relative path is entered, it will be relative to the location
+# where doxygen was started. If left blank the current directory will be used.
+
+OUTPUT_DIRECTORY = doxygen
+
+# The OUTPUT_LANGUAGE tag is used to specify the language in which all
+# documentation generated by doxygen is written. Doxygen will use this
+# information to generate all constant output in the proper language.
+# The default language is English, other supported languages are:
+# Brazilian, Catalan, Chinese, Chinese-Traditional, Croatian, Czech, Danish, Dutch,
+# Finnish, French, German, Greek, Hungarian, Italian, Japanese, Japanese-en
+# (Japanese with English messages), Korean, Norwegian, Polish, Portuguese,
+# Romanian, Russian, Serbian, Slovak, Slovene, Spanish, Swedish, and Ukrainian.
+
+OUTPUT_LANGUAGE = English
+
+# This tag can be used to specify the encoding used in the generated output.
+# The encoding is not always determined by the language that is chosen,
+# but also whether or not the output is meant for Windows or non-Windows users.
+# In case there is a difference, setting the USE_WINDOWS_ENCODING tag to YES
+# forces the Windows encoding (this is the default for the Windows binary),
+# whereas setting the tag to NO uses a Unix-style encoding (the default for
+# all platforms other than Windows).
+
+USE_WINDOWS_ENCODING = NO
+
+# If the BRIEF_MEMBER_DESC tag is set to YES (the default) Doxygen will
+# include brief member descriptions after the members that are listed in
+# the file and class documentation (similar to JavaDoc).
+# Set to NO to disable this.
+
+BRIEF_MEMBER_DESC = YES
+
+# If the REPEAT_BRIEF tag is set to YES (the default) Doxygen will prepend
+# the brief description of a member or function before the detailed description.
+# Note: if both HIDE_UNDOC_MEMBERS and BRIEF_MEMBER_DESC are set to NO, the
+# brief descriptions will be completely suppressed.
+
+REPEAT_BRIEF = YES
+
+# If the ALWAYS_DETAILED_SEC and REPEAT_BRIEF tags are both set to YES then
+# Doxygen will generate a detailed section even if there is only a brief
+# description.
+
+ALWAYS_DETAILED_SEC = NO
+
+# If the INLINE_INHERITED_MEMB tag is set to YES, doxygen will show all inherited
+# members of a class in the documentation of that class as if those members were
+# ordinary class members. Constructors, destructors and assignment operators of
+# the base classes will not be shown.
+
+INLINE_INHERITED_MEMB = NO
+
+# If the FULL_PATH_NAMES tag is set to YES then Doxygen will prepend the full
+# path before files name in the file list and in the header files. If set
+# to NO the shortest path that makes the file name unique will be used.
+
+FULL_PATH_NAMES = YES
+
+# If the FULL_PATH_NAMES tag is set to YES then the STRIP_FROM_PATH tag
+# can be used to strip a user-defined part of the path. Stripping is
+# only done if one of the specified strings matches the left-hand part of
+# the path. It is allowed to use relative paths in the argument list.
+
+STRIP_FROM_PATH = /home/eschnett/Calpha/Cactus/arrangements/Carpet/
+
+# If the SHORT_NAMES tag is set to YES, doxygen will generate much shorter
+# (but less readable) file names. This can be useful is your file systems
+# doesn't support long names like on DOS, Mac, or CD-ROM.
+
+SHORT_NAMES = NO
+
+# If the JAVADOC_AUTOBRIEF tag is set to YES then Doxygen
+# will interpret the first line (until the first dot) of a JavaDoc-style
+# comment as the brief description. If set to NO, the JavaDoc
+# comments will behave just like the Qt-style comments (thus requiring an
+# explict @brief command for a brief description.
+
+JAVADOC_AUTOBRIEF = NO
+
+# The MULTILINE_CPP_IS_BRIEF tag can be set to YES to make Doxygen
+# treat a multi-line C++ special comment block (i.e. a block of //! or ///
+# comments) as a brief description. This used to be the default behaviour.
+# The new default is to treat a multi-line C++ comment block as a detailed
+# description. Set this tag to YES if you prefer the old behaviour instead.
+
+MULTILINE_CPP_IS_BRIEF = NO
+
+# If the DETAILS_AT_TOP tag is set to YES then Doxygen
+# will output the detailed description near the top, like JavaDoc.
+# If set to NO, the detailed description appears after the member
+# documentation.
+
+DETAILS_AT_TOP = NO
+
+# If the INHERIT_DOCS tag is set to YES (the default) then an undocumented
+# member inherits the documentation from any documented member that it
+# reimplements.
+
+INHERIT_DOCS = YES
+
+# If member grouping is used in the documentation and the DISTRIBUTE_GROUP_DOC
+# tag is set to YES, then doxygen will reuse the documentation of the first
+# member in the group (if any) for the other members of the group. By default
+# all members of a group must be documented explicitly.
+
+DISTRIBUTE_GROUP_DOC = NO
+
+# The TAB_SIZE tag can be used to set the number of spaces in a tab.
+# Doxygen uses this value to replace tabs by spaces in code fragments.
+
+TAB_SIZE = 8
+
+# This tag can be used to specify a number of aliases that acts
+# as commands in the documentation. An alias has the form "name=value".
+# For example adding "sideeffect=\par Side Effects:\n" will allow you to
+# put the command \sideeffect (or @sideeffect) in the documentation, which
+# will result in a user-defined paragraph with heading "Side Effects:".
+# You can put \n's in the value part of an alias to insert newlines.
+
+ALIASES =
+
+# Set the OPTIMIZE_OUTPUT_FOR_C tag to YES if your project consists of C sources
+# only. Doxygen will then generate output that is more tailored for C.
+# For instance, some of the names that are used will be different. The list
+# of all members will be omitted, etc.
+
+OPTIMIZE_OUTPUT_FOR_C = NO
+
+# Set the OPTIMIZE_OUTPUT_JAVA tag to YES if your project consists of Java sources
+# only. Doxygen will then generate output that is more tailored for Java.
+# For instance, namespaces will be presented as packages, qualified scopes
+# will look different, etc.
+
+OPTIMIZE_OUTPUT_JAVA = NO
+
+# Set the SUBGROUPING tag to YES (the default) to allow class member groups of
+# the same type (for instance a group of public functions) to be put as a
+# subgroup of that type (e.g. under the Public Functions section). Set it to
+# NO to prevent subgrouping. Alternatively, this can be done per class using
+# the \nosubgrouping command.
+
+SUBGROUPING = YES
+
+#---------------------------------------------------------------------------
+# Build related configuration options
+#---------------------------------------------------------------------------
+
+# If the EXTRACT_ALL tag is set to YES doxygen will assume all entities in
+# documentation are documented, even if no documentation was available.
+# Private class members and static file members will be hidden unless
+# the EXTRACT_PRIVATE and EXTRACT_STATIC tags are set to YES
+
+EXTRACT_ALL = YES
+
+# If the EXTRACT_PRIVATE tag is set to YES all private members of a class
+# will be included in the documentation.
+
+EXTRACT_PRIVATE = YES
+
+# If the EXTRACT_STATIC tag is set to YES all static members of a file
+# will be included in the documentation.
+
+EXTRACT_STATIC = YES
+
+# If the EXTRACT_LOCAL_CLASSES tag is set to YES classes (and structs)
+# defined locally in source files will be included in the documentation.
+# If set to NO only classes defined in header files are included.
+
+EXTRACT_LOCAL_CLASSES = YES
+
+# If the HIDE_UNDOC_MEMBERS tag is set to YES, Doxygen will hide all
+# undocumented members of documented classes, files or namespaces.
+# If set to NO (the default) these members will be included in the
+# various overviews, but no documentation section is generated.
+# This option has no effect if EXTRACT_ALL is enabled.
+
+HIDE_UNDOC_MEMBERS = NO
+
+# If the HIDE_UNDOC_CLASSES tag is set to YES, Doxygen will hide all
+# undocumented classes that are normally visible in the class hierarchy.
+# If set to NO (the default) these classes will be included in the various
+# overviews. This option has no effect if EXTRACT_ALL is enabled.
+
+HIDE_UNDOC_CLASSES = NO
+
+# If the HIDE_FRIEND_COMPOUNDS tag is set to YES, Doxygen will hide all
+# friend (class|struct|union) declarations.
+# If set to NO (the default) these declarations will be included in the
+# documentation.
+
+HIDE_FRIEND_COMPOUNDS = NO
+
+# If the HIDE_IN_BODY_DOCS tag is set to YES, Doxygen will hide any
+# documentation blocks found inside the body of a function.
+# If set to NO (the default) these blocks will be appended to the
+# function's detailed documentation block.
+
+HIDE_IN_BODY_DOCS = NO
+
+# The INTERNAL_DOCS tag determines if documentation
+# that is typed after a \internal command is included. If the tag is set
+# to NO (the default) then the documentation will be excluded.
+# Set it to YES to include the internal documentation.
+
+INTERNAL_DOCS = YES
+
+# If the CASE_SENSE_NAMES tag is set to NO then Doxygen will only generate
+# file names in lower-case letters. If set to YES upper-case letters are also
+# allowed. This is useful if you have classes or files whose names only differ
+# in case and if your file system supports case sensitive file names. Windows
+# users are advised to set this option to NO.
+
+CASE_SENSE_NAMES = YES
+
+# If the HIDE_SCOPE_NAMES tag is set to NO (the default) then Doxygen
+# will show members with their full class and namespace scopes in the
+# documentation. If set to YES the scope will be hidden.
+
+HIDE_SCOPE_NAMES = NO
+
+# If the SHOW_INCLUDE_FILES tag is set to YES (the default) then Doxygen
+# will put a list of the files that are included by a file in the documentation
+# of that file.
+
+SHOW_INCLUDE_FILES = YES
+
+# If the INLINE_INFO tag is set to YES (the default) then a tag [inline]
+# is inserted in the documentation for inline members.
+
+INLINE_INFO = YES
+
+# If the SORT_MEMBER_DOCS tag is set to YES (the default) then doxygen
+# will sort the (detailed) documentation of file and class members
+# alphabetically by member name. If set to NO the members will appear in
+# declaration order.
+
+SORT_MEMBER_DOCS = YES
+
+# The GENERATE_TODOLIST tag can be used to enable (YES) or
+# disable (NO) the todo list. This list is created by putting \todo
+# commands in the documentation.
+
+GENERATE_TODOLIST = YES
+
+# The GENERATE_TESTLIST tag can be used to enable (YES) or
+# disable (NO) the test list. This list is created by putting \test
+# commands in the documentation.
+
+GENERATE_TESTLIST = YES
+
+# The GENERATE_BUGLIST tag can be used to enable (YES) or
+# disable (NO) the bug list. This list is created by putting \bug
+# commands in the documentation.
+
+GENERATE_BUGLIST = YES
+
+# The GENERATE_DEPRECATEDLIST tag can be used to enable (YES) or
+# disable (NO) the deprecated list. This list is created by putting
+# \deprecated commands in the documentation.
+
+GENERATE_DEPRECATEDLIST= YES
+
+# The ENABLED_SECTIONS tag can be used to enable conditional
+# documentation sections, marked by \if sectionname ... \endif.
+
+ENABLED_SECTIONS =
+
+# The MAX_INITIALIZER_LINES tag determines the maximum number of lines
+# the initial value of a variable or define consists of for it to appear in
+# the documentation. If the initializer consists of more lines than specified
+# here it will be hidden. Use a value of 0 to hide initializers completely.
+# The appearance of the initializer of individual variables and defines in the
+# documentation can be controlled using \showinitializer or \hideinitializer
+# command in the documentation regardless of this setting.
+
+MAX_INITIALIZER_LINES = 30
+
+# Set the SHOW_USED_FILES tag to NO to disable the list of files generated
+# at the bottom of the documentation of classes and structs. If set to YES the
+# list will mention the files that were used to generate the documentation.
+
+SHOW_USED_FILES = YES
+
+#---------------------------------------------------------------------------
+# configuration options related to warning and progress messages
+#---------------------------------------------------------------------------
+
+# The QUIET tag can be used to turn on/off the messages that are generated
+# by doxygen. Possible values are YES and NO. If left blank NO is used.
+
+QUIET = NO
+
+# The WARNINGS tag can be used to turn on/off the warning messages that are
+# generated by doxygen. Possible values are YES and NO. If left blank
+# NO is used.
+
+WARNINGS = YES
+
+# If WARN_IF_UNDOCUMENTED is set to YES, then doxygen will generate warnings
+# for undocumented members. If EXTRACT_ALL is set to YES then this flag will
+# automatically be disabled.
+
+WARN_IF_UNDOCUMENTED = YES
+
+# If WARN_IF_DOC_ERROR is set to YES, doxygen will generate warnings for
+# potential errors in the documentation, such as not documenting some
+# parameters in a documented function, or documenting parameters that
+# don't exist or using markup commands wrongly.
+
+WARN_IF_DOC_ERROR = YES
+
+# The WARN_FORMAT tag determines the format of the warning messages that
+# doxygen can produce. The string should contain the $file, $line, and $text
+# tags, which will be replaced by the file and line number from which the
+# warning originated and the warning text.
+
+WARN_FORMAT = "$file:$line: $text"
+
+# The WARN_LOGFILE tag can be used to specify a file to which warning
+# and error messages should be written. If left blank the output is written
+# to stderr.
+
+WARN_LOGFILE =
+
+#---------------------------------------------------------------------------
+# configuration options related to the input files
+#---------------------------------------------------------------------------
+
+# The INPUT tag can be used to specify the files and/or directories that contain
+# documented source files. You may enter file names like "myfile.cpp" or
+# directories like "/usr/src/myproject". Separate the files or directories
+# with spaces.
+
+INPUT = .
+
+# If the value of the INPUT tag contains directories, you can use the
+# FILE_PATTERNS tag to specify one or more wildcard pattern (like *.cpp
+# and *.h) to filter out the source-files in the directories. If left
+# blank the following patterns are tested:
+# *.c *.cc *.cxx *.cpp *.c++ *.java *.ii *.ixx *.ipp *.i++ *.inl *.h *.hh *.hxx *.hpp
+# *.h++ *.idl *.odl *.cs *.php *.php3 *.inc
+
+FILE_PATTERNS =
+
+# The RECURSIVE tag can be used to turn specify whether or not subdirectories
+# should be searched for input files as well. Possible values are YES and NO.
+# If left blank NO is used.
+
+RECURSIVE = YES
+
+# The EXCLUDE tag can be used to specify files and/or directories that should
+# excluded from the INPUT source files. This way you can easily exclude a
+# subdirectory from a directory tree whose root is specified with the INPUT tag.
+
+EXCLUDE =
+
+# The EXCLUDE_SYMLINKS tag can be used select whether or not files or directories
+# that are symbolic links (a Unix filesystem feature) are excluded from the input.
+
+EXCLUDE_SYMLINKS = NO
+
+# If the value of the INPUT tag contains directories, you can use the
+# EXCLUDE_PATTERNS tag to specify one or more wildcard patterns to exclude
+# certain files from those directories.
+
+EXCLUDE_PATTERNS =
+
+# The EXAMPLE_PATH tag can be used to specify one or more files or
+# directories that contain example code fragments that are included (see
+# the \include command).
+
+EXAMPLE_PATH =
+
+# If the value of the EXAMPLE_PATH tag contains directories, you can use the
+# EXAMPLE_PATTERNS tag to specify one or more wildcard pattern (like *.cpp
+# and *.h) to filter out the source-files in the directories. If left
+# blank all files are included.
+
+EXAMPLE_PATTERNS =
+
+# If the EXAMPLE_RECURSIVE tag is set to YES then subdirectories will be
+# searched for input files to be used with the \include or \dontinclude
+# commands irrespective of the value of the RECURSIVE tag.
+# Possible values are YES and NO. If left blank NO is used.
+
+EXAMPLE_RECURSIVE = NO
+
+# The IMAGE_PATH tag can be used to specify one or more files or
+# directories that contain image that are included in the documentation (see
+# the \image command).
+
+IMAGE_PATH =
+
+# The INPUT_FILTER tag can be used to specify a program that doxygen should
+# invoke to filter for each input file. Doxygen will invoke the filter program
+# by executing (via popen()) the command <filter> <input-file>, where <filter>
+# is the value of the INPUT_FILTER tag, and <input-file> is the name of an
+# input file. Doxygen will then use the output that the filter program writes
+# to standard output.
+
+INPUT_FILTER =
+
+# If the FILTER_SOURCE_FILES tag is set to YES, the input filter (if set using
+# INPUT_FILTER) will be used to filter the input files when producing source
+# files to browse (i.e. when SOURCE_BROWSER is set to YES).
+
+FILTER_SOURCE_FILES = NO
+
+#---------------------------------------------------------------------------
+# configuration options related to source browsing
+#---------------------------------------------------------------------------
+
+# If the SOURCE_BROWSER tag is set to YES then a list of source files will
+# be generated. Documented entities will be cross-referenced with these sources.
+
+SOURCE_BROWSER = YES
+
+# Setting the INLINE_SOURCES tag to YES will include the body
+# of functions and classes directly in the documentation.
+
+INLINE_SOURCES = NO
+
+# Setting the STRIP_CODE_COMMENTS tag to YES (the default) will instruct
+# doxygen to hide any special comment blocks from generated source code
+# fragments. Normal C and C++ comments will always remain visible.
+
+STRIP_CODE_COMMENTS = NO
+
+# If the REFERENCED_BY_RELATION tag is set to YES (the default)
+# then for each documented function all documented
+# functions referencing it will be listed.
+
+REFERENCED_BY_RELATION = YES
+
+# If the REFERENCES_RELATION tag is set to YES (the default)
+# then for each documented function all documented entities
+# called/used by that function will be listed.
+
+REFERENCES_RELATION = YES
+
+# If the VERBATIM_HEADERS tag is set to YES (the default) then Doxygen
+# will generate a verbatim copy of the header file for each class for
+# which an include is specified. Set to NO to disable this.
+
+VERBATIM_HEADERS = YES
+
+#---------------------------------------------------------------------------
+# configuration options related to the alphabetical class index
+#---------------------------------------------------------------------------
+
+# If the ALPHABETICAL_INDEX tag is set to YES, an alphabetical index
+# of all compounds will be generated. Enable this if the project
+# contains a lot of classes, structs, unions or interfaces.
+
+ALPHABETICAL_INDEX = YES
+
+# If the alphabetical index is enabled (see ALPHABETICAL_INDEX) then
+# the COLS_IN_ALPHA_INDEX tag can be used to specify the number of columns
+# in which this list will be split (can be a number in the range [1..20])
+
+COLS_IN_ALPHA_INDEX = 4
+
+# In case all classes in a project start with a common prefix, all
+# classes will be put under the same header in the alphabetical index.
+# The IGNORE_PREFIX tag can be used to specify one or more prefixes that
+# should be ignored while generating the index headers.
+
+IGNORE_PREFIX =
+
+#---------------------------------------------------------------------------
+# configuration options related to the HTML output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_HTML tag is set to YES (the default) Doxygen will
+# generate HTML output.
+
+GENERATE_HTML = YES
+
+# The HTML_OUTPUT tag is used to specify where the HTML docs will be put.
+# If a relative path is entered the value of OUTPUT_DIRECTORY will be
+# put in front of it. If left blank `html' will be used as the default path.
+
+HTML_OUTPUT = html
+
+# The HTML_FILE_EXTENSION tag can be used to specify the file extension for
+# each generated HTML page (for example: .htm,.php,.asp). If it is left blank
+# doxygen will generate files with .html extension.
+
+HTML_FILE_EXTENSION = .html
+
+# The HTML_HEADER tag can be used to specify a personal HTML header for
+# each generated HTML page. If it is left blank doxygen will generate a
+# standard header.
+
+HTML_HEADER =
+
+# The HTML_FOOTER tag can be used to specify a personal HTML footer for
+# each generated HTML page. If it is left blank doxygen will generate a
+# standard footer.
+
+HTML_FOOTER =
+
+# The HTML_STYLESHEET tag can be used to specify a user-defined cascading
+# style sheet that is used by each HTML page. It can be used to
+# fine-tune the look of the HTML output. If the tag is left blank doxygen
+# will generate a default style sheet
+
+HTML_STYLESHEET =
+
+# If the HTML_ALIGN_MEMBERS tag is set to YES, the members of classes,
+# files or namespaces will be aligned in HTML using tables. If set to
+# NO a bullet list will be used.
+
+HTML_ALIGN_MEMBERS = YES
+
+# If the GENERATE_HTMLHELP tag is set to YES, additional index files
+# will be generated that can be used as input for tools like the
+# Microsoft HTML help workshop to generate a compressed HTML help file (.chm)
+# of the generated HTML documentation.
+
+GENERATE_HTMLHELP = NO
+
+# If the GENERATE_HTMLHELP tag is set to YES, the CHM_FILE tag can
+# be used to specify the file name of the resulting .chm file. You
+# can add a path in front of the file if the result should not be
+# written to the html output dir.
+
+CHM_FILE =
+
+# If the GENERATE_HTMLHELP tag is set to YES, the HHC_LOCATION tag can
+# be used to specify the location (absolute path including file name) of
+# the HTML help compiler (hhc.exe). If non-empty doxygen will try to run
+# the HTML help compiler on the generated index.hhp.
+
+HHC_LOCATION =
+
+# If the GENERATE_HTMLHELP tag is set to YES, the GENERATE_CHI flag
+# controls if a separate .chi index file is generated (YES) or that
+# it should be included in the master .chm file (NO).
+
+GENERATE_CHI = NO
+
+# If the GENERATE_HTMLHELP tag is set to YES, the BINARY_TOC flag
+# controls whether a binary table of contents is generated (YES) or a
+# normal table of contents (NO) in the .chm file.
+
+BINARY_TOC = NO
+
+# The TOC_EXPAND flag can be set to YES to add extra items for group members
+# to the contents of the HTML help documentation and to the tree view.
+
+TOC_EXPAND = NO
+
+# The DISABLE_INDEX tag can be used to turn on/off the condensed index at
+# top of each HTML page. The value NO (the default) enables the index and
+# the value YES disables it.
+
+DISABLE_INDEX = NO
+
+# This tag can be used to set the number of enum values (range [1..20])
+# that doxygen will group on one line in the generated HTML documentation.
+
+ENUM_VALUES_PER_LINE = 4
+
+# If the GENERATE_TREEVIEW tag is set to YES, a side panel will be
+# generated containing a tree-like index structure (just like the one that
+# is generated for HTML Help). For this to work a browser that supports
+# JavaScript, DHTML, CSS and frames is required (for instance Mozilla 1.0+,
+# Netscape 6.0+, Internet explorer 5.0+, or Konqueror). Windows users are
+# probably better off using the HTML help feature.
+
+GENERATE_TREEVIEW = NO
+
+# If the treeview is enabled (see GENERATE_TREEVIEW) then this tag can be
+# used to set the initial width (in pixels) of the frame in which the tree
+# is shown.
+
+TREEVIEW_WIDTH = 250
+
+#---------------------------------------------------------------------------
+# configuration options related to the LaTeX output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_LATEX tag is set to YES (the default) Doxygen will
+# generate Latex output.
+
+GENERATE_LATEX = YES
+
+# The LATEX_OUTPUT tag is used to specify where the LaTeX docs will be put.
+# If a relative path is entered the value of OUTPUT_DIRECTORY will be
+# put in front of it. If left blank `latex' will be used as the default path.
+
+LATEX_OUTPUT = latex
+
+# The LATEX_CMD_NAME tag can be used to specify the LaTeX command name to be
+# invoked. If left blank `latex' will be used as the default command name.
+
+LATEX_CMD_NAME = latex
+
+# The MAKEINDEX_CMD_NAME tag can be used to specify the command name to
+# generate index for LaTeX. If left blank `makeindex' will be used as the
+# default command name.
+
+MAKEINDEX_CMD_NAME = makeindex
+
+# If the COMPACT_LATEX tag is set to YES Doxygen generates more compact
+# LaTeX documents. This may be useful for small projects and may help to
+# save some trees in general.
+
+COMPACT_LATEX = NO
+
+# The PAPER_TYPE tag can be used to set the paper type that is used
+# by the printer. Possible values are: a4, a4wide, letter, legal and
+# executive. If left blank a4wide will be used.
+
+PAPER_TYPE = a4wide
+
+# The EXTRA_PACKAGES tag can be to specify one or more names of LaTeX
+# packages that should be included in the LaTeX output.
+
+EXTRA_PACKAGES = mathpple
+
+# The LATEX_HEADER tag can be used to specify a personal LaTeX header for
+# the generated latex document. The header should contain everything until
+# the first chapter. If it is left blank doxygen will generate a
+# standard header. Notice: only use this tag if you know what you are doing!
+
+LATEX_HEADER =
+
+# If the PDF_HYPERLINKS tag is set to YES, the LaTeX that is generated
+# is prepared for conversion to pdf (using ps2pdf). The pdf file will
+# contain links (just like the HTML output) instead of page references
+# This makes the output suitable for online browsing using a pdf viewer.
+
+PDF_HYPERLINKS = YES
+
+# If the USE_PDFLATEX tag is set to YES, pdflatex will be used instead of
+# plain latex in the generated Makefile. Set this option to YES to get a
+# higher quality PDF documentation.
+
+USE_PDFLATEX = YES
+
+# If the LATEX_BATCHMODE tag is set to YES, doxygen will add the \\batchmode.
+# command to the generated LaTeX files. This will instruct LaTeX to keep
+# running if errors occur, instead of asking the user for help.
+# This option is also used when generating formulas in HTML.
+
+LATEX_BATCHMODE = NO
+
+# If LATEX_HIDE_INDICES is set to YES then doxygen will not
+# include the index chapters (such as File Index, Compound Index, etc.)
+# in the output.
+
+LATEX_HIDE_INDICES = NO
+
+#---------------------------------------------------------------------------
+# configuration options related to the RTF output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_RTF tag is set to YES Doxygen will generate RTF output
+# The RTF output is optimised for Word 97 and may not look very pretty with
+# other RTF readers or editors.
+
+GENERATE_RTF = NO
+
+# The RTF_OUTPUT tag is used to specify where the RTF docs will be put.
+# If a relative path is entered the value of OUTPUT_DIRECTORY will be
+# put in front of it. If left blank `rtf' will be used as the default path.
+
+RTF_OUTPUT = rtf
+
+# If the COMPACT_RTF tag is set to YES Doxygen generates more compact
+# RTF documents. This may be useful for small projects and may help to
+# save some trees in general.
+
+COMPACT_RTF = NO
+
+# If the RTF_HYPERLINKS tag is set to YES, the RTF that is generated
+# will contain hyperlink fields. The RTF file will
+# contain links (just like the HTML output) instead of page references.
+# This makes the output suitable for online browsing using WORD or other
+# programs which support those fields.
+# Note: wordpad (write) and others do not support links.
+
+RTF_HYPERLINKS = NO
+
+# Load stylesheet definitions from file. Syntax is similar to doxygen's
+# config file, i.e. a series of assigments. You only have to provide
+# replacements, missing definitions are set to their default value.
+
+RTF_STYLESHEET_FILE =
+
+# Set optional variables used in the generation of an rtf document.
+# Syntax is similar to doxygen's config file.
+
+RTF_EXTENSIONS_FILE =
+
+#---------------------------------------------------------------------------
+# configuration options related to the man page output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_MAN tag is set to YES (the default) Doxygen will
+# generate man pages
+
+GENERATE_MAN = NO
+
+# The MAN_OUTPUT tag is used to specify where the man pages will be put.
+# If a relative path is entered the value of OUTPUT_DIRECTORY will be
+# put in front of it. If left blank `man' will be used as the default path.
+
+MAN_OUTPUT = man
+
+# The MAN_EXTENSION tag determines the extension that is added to
+# the generated man pages (default is the subroutine's section .3)
+
+MAN_EXTENSION = .3
+
+# If the MAN_LINKS tag is set to YES and Doxygen generates man output,
+# then it will generate one additional man file for each entity
+# documented in the real man page(s). These additional files
+# only source the real man page, but without them the man command
+# would be unable to find the correct page. The default is NO.
+
+MAN_LINKS = NO
+
+#---------------------------------------------------------------------------
+# configuration options related to the XML output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_XML tag is set to YES Doxygen will
+# generate an XML file that captures the structure of
+# the code including all documentation. Note that this
+# feature is still experimental and incomplete at the
+# moment.
+
+GENERATE_XML = NO
+
+# The XML_OUTPUT tag is used to specify where the XML pages will be put.
+# If a relative path is entered the value of OUTPUT_DIRECTORY will be
+# put in front of it. If left blank `xml' will be used as the default path.
+
+XML_OUTPUT = xml
+
+# The XML_SCHEMA tag can be used to specify an XML schema,
+# which can be used by a validating XML parser to check the
+# syntax of the XML files.
+
+XML_SCHEMA =
+
+# The XML_DTD tag can be used to specify an XML DTD,
+# which can be used by a validating XML parser to check the
+# syntax of the XML files.
+
+XML_DTD =
+
+#---------------------------------------------------------------------------
+# configuration options for the AutoGen Definitions output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_AUTOGEN_DEF tag is set to YES Doxygen will
+# generate an AutoGen Definitions (see autogen.sf.net) file
+# that captures the structure of the code including all
+# documentation. Note that this feature is still experimental
+# and incomplete at the moment.
+
+GENERATE_AUTOGEN_DEF = NO
+
+#---------------------------------------------------------------------------
+# configuration options related to the Perl module output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_PERLMOD tag is set to YES Doxygen will
+# generate a Perl module file that captures the structure of
+# the code including all documentation. Note that this
+# feature is still experimental and incomplete at the
+# moment.
+
+GENERATE_PERLMOD = NO
+
+# If the PERLMOD_LATEX tag is set to YES Doxygen will generate
+# the necessary Makefile rules, Perl scripts and LaTeX code to be able
+# to generate PDF and DVI output from the Perl module output.
+
+PERLMOD_LATEX = NO
+
+# If the PERLMOD_PRETTY tag is set to YES the Perl module output will be
+# nicely formatted so it can be parsed by a human reader. This is useful
+# if you want to understand what is going on. On the other hand, if this
+# tag is set to NO the size of the Perl module output will be much smaller
+# and Perl will parse it just the same.
+
+PERLMOD_PRETTY = YES
+
+# The names of the make variables in the generated doxyrules.make file
+# are prefixed with the string contained in PERLMOD_MAKEVAR_PREFIX.
+# This is useful so different doxyrules.make files included by the same
+# Makefile don't overwrite each other's variables.
+
+PERLMOD_MAKEVAR_PREFIX =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the preprocessor
+#---------------------------------------------------------------------------
+
+# If the ENABLE_PREPROCESSING tag is set to YES (the default) Doxygen will
+# evaluate all C-preprocessor directives found in the sources and include
+# files.
+
+ENABLE_PREPROCESSING = YES
+
+# If the MACRO_EXPANSION tag is set to YES Doxygen will expand all macro
+# names in the source code. If set to NO (the default) only conditional
+# compilation will be performed. Macro expansion can be done in a controlled
+# way by setting EXPAND_ONLY_PREDEF to YES.
+
+MACRO_EXPANSION = NO
+
+# If the EXPAND_ONLY_PREDEF and MACRO_EXPANSION tags are both set to YES
+# then the macro expansion is limited to the macros specified with the
+# PREDEFINED and EXPAND_AS_PREDEFINED tags.
+
+EXPAND_ONLY_PREDEF = NO
+
+# If the SEARCH_INCLUDES tag is set to YES (the default) the includes files
+# in the INCLUDE_PATH (see below) will be search if a #include is found.
+
+SEARCH_INCLUDES = YES
+
+# The INCLUDE_PATH tag can be used to specify one or more directories that
+# contain include files that are not input files but should be processed by
+# the preprocessor.
+
+INCLUDE_PATH =
+
+# You can use the INCLUDE_FILE_PATTERNS tag to specify one or more wildcard
+# patterns (like *.h and *.hpp) to filter out the header-files in the
+# directories. If left blank, the patterns specified with FILE_PATTERNS will
+# be used.
+
+INCLUDE_FILE_PATTERNS =
+
+# The PREDEFINED tag can be used to specify one or more macro names that
+# are defined before the preprocessor is started (similar to the -D option of
+# gcc). The argument of the tag is a list of macros of the form: name
+# or name=definition (no spaces). If the definition and the = are
+# omitted =1 is assumed.
+
+PREDEFINED = CARPET_INT \
+ CARPET_REAL \
+ CARPET_COMPLEX
+
+# If the MACRO_EXPANSION and EXPAND_ONLY_PREDEF tags are set to YES then
+# this tag can be used to specify a list of macro names that should be expanded.
+# The macro definition that is found in the sources will be used.
+# Use the PREDEFINED tag if you want to use a different macro definition.
+
+EXPAND_AS_DEFINED =
+
+# If the SKIP_FUNCTION_MACROS tag is set to YES (the default) then
+# doxygen's preprocessor will remove all function-like macros that are alone
+# on a line, have an all uppercase name, and do not end with a semicolon. Such
+# function macros are typically used for boiler-plate code, and will confuse the
+# parser if not removed.
+
+SKIP_FUNCTION_MACROS = YES
+
+#---------------------------------------------------------------------------
+# Configuration::addtions related to external references
+#---------------------------------------------------------------------------
+
+# The TAGFILES option can be used to specify one or more tagfiles.
+# Optionally an initial location of the external documentation
+# can be added for each tagfile. The format of a tag file without
+# this location is as follows:
+# TAGFILES = file1 file2 ...
+# Adding location for the tag files is done as follows:
+# TAGFILES = file1=loc1 "file2 = loc2" ...
+# where "loc1" and "loc2" can be relative or absolute paths or
+# URLs. If a location is present for each tag, the installdox tool
+# does not have to be run to correct the links.
+# Note that each tag file must have a unique name
+# (where the name does NOT include the path)
+# If a tag file is not located in the directory in which doxygen
+# is run, you must also specify the path to the tagfile here.
+
+TAGFILES =
+
+# When a file name is specified after GENERATE_TAGFILE, doxygen will create
+# a tag file that is based on the input files it reads.
+
+GENERATE_TAGFILE =
+
+# If the ALLEXTERNALS tag is set to YES all external classes will be listed
+# in the class index. If set to NO only the inherited external classes
+# will be listed.
+
+ALLEXTERNALS = NO
+
+# If the EXTERNAL_GROUPS tag is set to YES all external groups will be listed
+# in the modules index. If set to NO, only the current project's groups will
+# be listed.
+
+EXTERNAL_GROUPS = YES
+
+# The PERL_PATH should be the absolute path and name of the perl script
+# interpreter (i.e. the result of `which perl').
+
+PERL_PATH = /usr/bin/perl
+
+#---------------------------------------------------------------------------
+# Configuration options related to the dot tool
+#---------------------------------------------------------------------------
+
+# If the CLASS_DIAGRAMS tag is set to YES (the default) Doxygen will
+# generate a inheritance diagram (in HTML, RTF and LaTeX) for classes with base or
+# super classes. Setting the tag to NO turns the diagrams off. Note that this
+# option is superceded by the HAVE_DOT option below. This is only a fallback. It is
+# recommended to install and use dot, since it yields more powerful graphs.
+
+CLASS_DIAGRAMS = YES
+
+# If set to YES, the inheritance and collaboration graphs will hide
+# inheritance and usage relations if the target is undocumented
+# or is not a class.
+
+HIDE_UNDOC_RELATIONS = YES
+
+# If you set the HAVE_DOT tag to YES then doxygen will assume the dot tool is
+# available from the path. This tool is part of Graphviz, a graph visualization
+# toolkit from AT&T and Lucent Bell Labs. The other options in this section
+# have no effect if this option is set to NO (the default)
+
+HAVE_DOT = NO
+
+# If the CLASS_GRAPH and HAVE_DOT tags are set to YES then doxygen
+# will generate a graph for each documented class showing the direct and
+# indirect inheritance relations. Setting this tag to YES will force the
+# the CLASS_DIAGRAMS tag to NO.
+
+CLASS_GRAPH = YES
+
+# If the COLLABORATION_GRAPH and HAVE_DOT tags are set to YES then doxygen
+# will generate a graph for each documented class showing the direct and
+# indirect implementation dependencies (inheritance, containment, and
+# class references variables) of the class with other documented classes.
+
+COLLABORATION_GRAPH = YES
+
+# If the UML_LOOK tag is set to YES doxygen will generate inheritance and
+# collaboration diagrams in a style similiar to the OMG's Unified Modeling
+# Language.
+
+UML_LOOK = NO
+
+# If set to YES, the inheritance and collaboration graphs will show the
+# relations between templates and their instances.
+
+TEMPLATE_RELATIONS = NO
+
+# If the ENABLE_PREPROCESSING, SEARCH_INCLUDES, INCLUDE_GRAPH, and HAVE_DOT
+# tags are set to YES then doxygen will generate a graph for each documented
+# file showing the direct and indirect include dependencies of the file with
+# other documented files.
+
+INCLUDE_GRAPH = YES
+
+# If the ENABLE_PREPROCESSING, SEARCH_INCLUDES, INCLUDED_BY_GRAPH, and
+# HAVE_DOT tags are set to YES then doxygen will generate a graph for each
+# documented header file showing the documented files that directly or
+# indirectly include this file.
+
+INCLUDED_BY_GRAPH = YES
+
+# If the CALL_GRAPH and HAVE_DOT tags are set to YES then doxygen will
+# generate a call dependency graph for every global function or class method.
+# Note that enabling this option will significantly increase the time of a run.
+# So in most cases it will be better to enable call graphs for selected
+# functions only using the \callgraph command.
+
+CALL_GRAPH = NO
+
+# If the GRAPHICAL_HIERARCHY and HAVE_DOT tags are set to YES then doxygen
+# will graphical hierarchy of all classes instead of a textual one.
+
+GRAPHICAL_HIERARCHY = YES
+
+# The DOT_IMAGE_FORMAT tag can be used to set the image format of the images
+# generated by dot. Possible values are png, jpg, or gif
+# If left blank png will be used.
+
+DOT_IMAGE_FORMAT = png
+
+# The tag DOT_PATH can be used to specify the path where the dot tool can be
+# found. If left blank, it is assumed the dot tool can be found on the path.
+
+DOT_PATH =
+
+# The DOTFILE_DIRS tag can be used to specify one or more directories that
+# contain dot files that are included in the documentation (see the
+# \dotfile command).
+
+DOTFILE_DIRS =
+
+# The MAX_DOT_GRAPH_WIDTH tag can be used to set the maximum allowed width
+# (in pixels) of the graphs generated by dot. If a graph becomes larger than
+# this value, doxygen will try to truncate the graph, so that it fits within
+# the specified constraint. Beware that most browsers cannot cope with very
+# large images.
+
+MAX_DOT_GRAPH_WIDTH = 1024
+
+# The MAX_DOT_GRAPH_HEIGHT tag can be used to set the maximum allows height
+# (in pixels) of the graphs generated by dot. If a graph becomes larger than
+# this value, doxygen will try to truncate the graph, so that it fits within
+# the specified constraint. Beware that most browsers cannot cope with very
+# large images.
+
+MAX_DOT_GRAPH_HEIGHT = 1024
+
+# The MAX_DOT_GRAPH_DEPTH tag can be used to set the maximum depth of the
+# graphs generated by dot. A depth value of 3 means that only nodes reachable
+# from the root by following a path via at most 3 edges will be shown. Nodes that
+# lay further from the root node will be omitted. Note that setting this option to
+# 1 or 2 may greatly reduce the computation time needed for large code bases. Also
+# note that a graph may be further truncated if the graph's image dimensions are
+# not sufficient to fit the graph (see MAX_DOT_GRAPH_WIDTH and MAX_DOT_GRAPH_HEIGHT).
+# If 0 is used for the depth value (the default), the graph is not depth-constrained.
+
+MAX_DOT_GRAPH_DEPTH = 0
+
+# If the GENERATE_LEGEND tag is set to YES (the default) Doxygen will
+# generate a legend page explaining the meaning of the various boxes and
+# arrows in the dot generated graphs.
+
+GENERATE_LEGEND = YES
+
+# If the DOT_CLEANUP tag is set to YES (the default) Doxygen will
+# remove the intermediate dot files that are used to generate
+# the various graphs.
+
+DOT_CLEANUP = YES
+
+#---------------------------------------------------------------------------
+# Configuration::addtions related to the search engine
+#---------------------------------------------------------------------------
+
+# The SEARCHENGINE tag specifies whether or not a search engine should be
+# used. If set to NO the values of all tags below this one will be ignored.
+
+SEARCHENGINE = NO
diff --git a/Carpet/doxygen/README b/Carpet/doxygen/README
new file mode 100644
index 000000000..746fc0270
--- /dev/null
+++ b/Carpet/doxygen/README
@@ -0,0 +1,16 @@
+$Header: /home/eschnett/C/carpet/Carpet/Carpet/doxygen/README,v 1.1 2003/11/05 21:04:37 schnetter Exp $
+
+This directory contains, in CVS, the Doxygen configuration file. The
+generated documentation will also be placed here, but should not go
+into CVS.
+
+Create the Doxygen configuration by running the command
+
+ doxygen doxygen/Doxyfile
+
+from one directory up, i.e. from the Carpet arrangement directory.
+This will create html documentation in a subdirectory html, and latex
+documentation in a subdirectory latex. The latex subdirectory
+contains a makefile that creates pdf from the latex sources.
+
+-erik
diff --git a/CarpetAttic/COPYING b/CarpetAttic/COPYING
new file mode 100644
index 000000000..1942c4334
--- /dev/null
+++ b/CarpetAttic/COPYING
@@ -0,0 +1,341 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 59 Temple Place - Suite 330
+ Boston, MA 02111-1307, USA.
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
+
+ The licenses for most software are designed to take away your
+freedom to share and change it. By contrast, the GNU General Public
+License is intended to guarantee your freedom to share and change free
+software--to make sure the software is free for all its users. This
+General Public License applies to most of the Free Software
+Foundation's software and to any other program whose authors commit to
+using it. (Some other Free Software Foundation software is covered by
+the GNU Library General Public License instead.) You can apply it to
+your programs, too.
+
+ When we speak of free software, we are referring to freedom, not
+price. Our General Public Licenses are designed to make sure that you
+have the freedom to distribute copies of free software (and charge for
+this service if you wish), that you receive source code or can get it
+if you want it, that you can change the software or use pieces of it
+in new free programs; and that you know you can do these things.
+
+ To protect your rights, we need to make restrictions that forbid
+anyone to deny you these rights or to ask you to surrender the rights.
+These restrictions translate to certain responsibilities for you if you
+distribute copies of the software, or if you modify it.
+
+ For example, if you distribute copies of such a program, whether
+gratis or for a fee, you must give the recipients all the rights that
+you have. You must make sure that they, too, receive or can get the
+source code. And you must show them these terms so they know their
+rights.
+
+ We protect your rights with two steps: (1) copyright the software, and
+(2) offer you this license which gives you legal permission to copy,
+distribute and/or modify the software.
+
+ Also, for each author's protection and ours, we want to make certain
+that everyone understands that there is no warranty for this free
+software. If the software is modified by someone else and passed on, we
+want its recipients to know that what they have is not the original, so
+that any problems introduced by others will not reflect on the original
+authors' reputations.
+
+ Finally, any free program is threatened constantly by software
+patents. We wish to avoid the danger that redistributors of a free
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+patent must be licensed for everyone's free use or not licensed at all.
+
+ The precise terms and conditions for copying, distribution and
+modification follow.
+
+ GNU GENERAL PUBLIC LICENSE
+ TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
+
+ 0. This License applies to any program or other work which contains
+a notice placed by the copyright holder saying it may be distributed
+under the terms of this General Public License. The "Program", below,
+refers to any such program or work, and a "work based on the Program"
+means either the Program or any derivative work under copyright law:
+that is to say, a work containing the Program or a portion of it,
+either verbatim or with modifications and/or translated into another
+language. (Hereinafter, translation is included without limitation in
+the term "modification".) Each licensee is addressed as "you".
+
+Activities other than copying, distribution and modification are not
+covered by this License; they are outside its scope. The act of
+running the Program is not restricted, and the output from the Program
+is covered only if its contents constitute a work based on the
+Program (independent of having been made by running the Program).
+Whether that is true depends on what the Program does.
+
+ 1. You may copy and distribute verbatim copies of the Program's
+source code as you receive it, in any medium, provided that you
+conspicuously and appropriately publish on each copy an appropriate
+copyright notice and disclaimer of warranty; keep intact all the
+notices that refer to this License and to the absence of any warranty;
+and give any other recipients of the Program a copy of this License
+along with the Program.
+
+You may charge a fee for the physical act of transferring a copy, and
+you may at your option offer warranty protection in exchange for a fee.
+
+ 2. You may modify your copy or copies of the Program or any portion
+of it, thus forming a work based on the Program, and copy and
+distribute such modifications or work under the terms of Section 1
+above, provided that you also meet all of these conditions:
+
+ a) You must cause the modified files to carry prominent notices
+ stating that you changed the files and the date of any change.
+
+ b) You must cause any work that you distribute or publish, that in
+ whole or in part contains or is derived from the Program or any
+ part thereof, to be licensed as a whole at no charge to all third
+ parties under the terms of this License.
+
+ c) If the modified program normally reads commands interactively
+ when run, you must cause it, when started running for such
+ interactive use in the most ordinary way, to print or display an
+ announcement including an appropriate copyright notice and a
+ notice that there is no warranty (or else, saying that you provide
+ a warranty) and that users may redistribute the program under
+ these conditions, and telling the user how to view a copy of this
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+ the Program is not required to print an announcement.)
+
+These requirements apply to the modified work as a whole. If
+identifiable sections of that work are not derived from the Program,
+and can be reasonably considered independent and separate works in
+themselves, then this License, and its terms, do not apply to those
+sections when you distribute them as separate works. But when you
+distribute the same sections as part of a whole which is a work based
+on the Program, the distribution of the whole must be on the terms of
+this License, whose permissions for other licensees extend to the
+entire whole, and thus to each and every part regardless of who wrote it.
+
+Thus, it is not the intent of this section to claim rights or contest
+your rights to work written entirely by you; rather, the intent is to
+exercise the right to control the distribution of derivative or
+collective works based on the Program.
+
+In addition, mere aggregation of another work not based on the Program
+with the Program (or with a work based on the Program) on a volume of
+a storage or distribution medium does not bring the other work under
+the scope of this License.
+
+ 3. You may copy and distribute the Program (or a work based on it,
+under Section 2) in object code or executable form under the terms of
+Sections 1 and 2 above provided that you also do one of the following:
+
+ a) Accompany it with the complete corresponding machine-readable
+ source code, which must be distributed under the terms of Sections
+ 1 and 2 above on a medium customarily used for software interchange; or,
+
+ b) Accompany it with a written offer, valid for at least three
+ years, to give any third party, for a charge no more than your
+ cost of physically performing source distribution, a complete
+ machine-readable copy of the corresponding source code, to be
+ distributed under the terms of Sections 1 and 2 above on a medium
+ customarily used for software interchange; or,
+
+ c) Accompany it with the information you received as to the offer
+ to distribute corresponding source code. (This alternative is
+ allowed only for noncommercial distribution and only if you
+ received the program in object code or executable form with such
+ an offer, in accord with Subsection b above.)
+
+The source code for a work means the preferred form of the work for
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+distribution of the source code, even though third parties are not
+compelled to copy the source along with the object code.
+
+ 4. You may not copy, modify, sublicense, or distribute the Program
+except as expressly provided under this License. Any attempt
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+void, and will automatically terminate your rights under this License.
+However, parties who have received copies, or rights, from you under
+this License will not have their licenses terminated so long as such
+parties remain in full compliance.
+
+ 5. You are not required to accept this License, since you have not
+signed it. However, nothing else grants you permission to modify or
+distribute the Program or its derivative works. These actions are
+prohibited by law if you do not accept this License. Therefore, by
+modifying or distributing the Program (or any work based on the
+Program), you indicate your acceptance of this License to do so, and
+all its terms and conditions for copying, distributing or modifying
+the Program or works based on it.
+
+ 6. Each time you redistribute the Program (or any work based on the
+Program), the recipient automatically receives a license from the
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+these terms and conditions. You may not impose any further
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+You are not responsible for enforcing compliance by third parties to
+this License.
+
+ 7. If, as a consequence of a court judgment or allegation of patent
+infringement or for any other reason (not limited to patent issues),
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+refrain entirely from distribution of the Program.
+
+If any portion of this section is held invalid or unenforceable under
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+
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+such claims; this section has the sole purpose of protecting the
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+to distribute software through any other system and a licensee cannot
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+
+This section is intended to make thoroughly clear what is believed to
+be a consequence of the rest of this License.
+
+ 8. If the distribution and/or use of the Program is restricted in
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+may add an explicit geographical distribution limitation excluding
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+
+ 9. The Free Software Foundation may publish revised and/or new versions
+of the General Public License from time to time. Such new versions will
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+address new problems or concerns.
+
+Each version is given a distinguishing version number. If the Program
+specifies a version number of this License which applies to it and "any
+later version", you have the option of following the terms and conditions
+either of that version or of any later version published by the Free
+Software Foundation. If the Program does not specify a version number of
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+Foundation.
+
+ 10. If you wish to incorporate parts of the Program into other free
+programs whose distribution conditions are different, write to the author
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+of preserving the free status of all derivatives of our free software and
+of promoting the sharing and reuse of software generally.
+
+ NO WARRANTY
+
+ 11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
+FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN
+OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
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+REPAIR OR CORRECTION.
+
+ 12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
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+TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
+YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
+PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
+POSSIBILITY OF SUCH DAMAGES.
+
+ END OF TERMS AND CONDITIONS
+
+ How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+ To do so, attach the following notices to the program. It is safest
+to attach them to the start of each source file to most effectively
+convey the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+ <one line to give the program's name and a brief idea of what it does.>
+ Copyright (C) 19yy <name of author>
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation; either version 2 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program; see the file COPYING. If not, write to
+ the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA.
+
+Also add information on how to contact you by electronic and paper mail.
+
+If the program is interactive, make it output a short notice like this
+when it starts in an interactive mode:
+
+ Gnomovision version 69, Copyright (C) 19yy name of author
+ Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+ This is free software, and you are welcome to redistribute it
+ under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License. Of course, the commands you use may
+be called something other than `show w' and `show c'; they could even be
+mouse-clicks or menu items--whatever suits your program.
+
+You should also get your employer (if you work as a programmer) or your
+school, if any, to sign a "copyright disclaimer" for the program, if
+necessary. Here is a sample; alter the names:
+
+ Yoyodyne, Inc., hereby disclaims all copyright interest in the program
+ `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+ <signature of Ty Coon>, 1 April 1989
+ Ty Coon, President of Vice
+
+This General Public License does not permit incorporating your program into
+proprietary programs. If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library. If this is what you want to do, use the GNU Library General
+Public License instead of this License.
diff --git a/CarpetAttic/CarpetIOFlexIO/COPYING b/CarpetAttic/CarpetIOFlexIO/COPYING
new file mode 100644
index 000000000..1942c4334
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIO/COPYING
@@ -0,0 +1,341 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 59 Temple Place - Suite 330
+ Boston, MA 02111-1307, USA.
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
+
+ The licenses for most software are designed to take away your
+freedom to share and change it. By contrast, the GNU General Public
+License is intended to guarantee your freedom to share and change free
+software--to make sure the software is free for all its users. This
+General Public License applies to most of the Free Software
+Foundation's software and to any other program whose authors commit to
+using it. (Some other Free Software Foundation software is covered by
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+your programs, too.
+
+ When we speak of free software, we are referring to freedom, not
+price. Our General Public Licenses are designed to make sure that you
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+These restrictions translate to certain responsibilities for you if you
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+ Finally, any free program is threatened constantly by software
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+ GNU GENERAL PUBLIC LICENSE
+ TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
+
+ 0. This License applies to any program or other work which contains
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+ 1. You may copy and distribute verbatim copies of the Program's
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+ NO WARRANTY
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+TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
+YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
+PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
+POSSIBILITY OF SUCH DAMAGES.
+
+ END OF TERMS AND CONDITIONS
+
+ How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+ To do so, attach the following notices to the program. It is safest
+to attach them to the start of each source file to most effectively
+convey the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+ <one line to give the program's name and a brief idea of what it does.>
+ Copyright (C) 19yy <name of author>
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation; either version 2 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program; see the file COPYING. If not, write to
+ the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA.
+
+Also add information on how to contact you by electronic and paper mail.
+
+If the program is interactive, make it output a short notice like this
+when it starts in an interactive mode:
+
+ Gnomovision version 69, Copyright (C) 19yy name of author
+ Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+ This is free software, and you are welcome to redistribute it
+ under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License. Of course, the commands you use may
+be called something other than `show w' and `show c'; they could even be
+mouse-clicks or menu items--whatever suits your program.
+
+You should also get your employer (if you work as a programmer) or your
+school, if any, to sign a "copyright disclaimer" for the program, if
+necessary. Here is a sample; alter the names:
+
+ Yoyodyne, Inc., hereby disclaims all copyright interest in the program
+ `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+ <signature of Ty Coon>, 1 April 1989
+ Ty Coon, President of Vice
+
+This General Public License does not permit incorporating your program into
+proprietary programs. If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library. If this is what you want to do, use the GNU Library General
+Public License instead of this License.
diff --git a/CarpetAttic/CarpetIOFlexIO/README b/CarpetAttic/CarpetIOFlexIO/README
new file mode 100644
index 000000000..77a46db46
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIO/README
@@ -0,0 +1,8 @@
+Cactus Code Thorn CarpetIOFlexIO
+Authors : Erik Schnetter <schnetter@uni-tuebingen.de>
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/CarpetIOFlexIO/README,v 1.4 2004/01/25 14:57:29 schnetter Exp $
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+This thorn provides FlexIO based file I/O for Carpet.
diff --git a/CarpetAttic/CarpetIOFlexIO/configuration.ccl b/CarpetAttic/CarpetIOFlexIO/configuration.ccl
new file mode 100644
index 000000000..01dc1a2cf
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIO/configuration.ccl
@@ -0,0 +1,4 @@
+# Configuration definitions for thorn CarpetIOFlexIO
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/CarpetIOFlexIO/configuration.ccl,v 1.2 2003/11/19 17:12:20 schnetter Exp $
+
+Requires Thorns: Carpet CarpetLib FlexIO IOUtil
diff --git a/CarpetAttic/CarpetIOFlexIO/interface.ccl b/CarpetAttic/CarpetIOFlexIO/interface.ccl
new file mode 100644
index 000000000..103a9b594
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIO/interface.ccl
@@ -0,0 +1,22 @@
+# Interface definition for thorn CarpetIOFlexIO
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/CarpetIOFlexIO/interface.ccl,v 1.9 2003/09/04 16:23:21 tradke Exp $
+
+implements: IOFlexIO
+
+uses include header: carpet.hh
+
+uses include header: bbox.hh
+uses include header: vect.hh
+
+uses include header: data.hh
+uses include header: gdata.hh
+
+uses include header: ggf.hh
+
+# FlexIO header files
+uses include header: IO.hh
+uses include header: IEEEIO.hh
+uses include header: HDFIO.hh
+uses include header: H5IO.hh
+uses include header: AMRwriter.hh
+uses include header: AmrGridReader.hh
diff --git a/CarpetAttic/CarpetIOFlexIO/param.ccl b/CarpetAttic/CarpetIOFlexIO/param.ccl
new file mode 100644
index 000000000..6c1f7cdca
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIO/param.ccl
@@ -0,0 +1,91 @@
+# Parameter definitions for thorn CarpetIOFlexIO
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/CarpetIOFlexIO/param.ccl,v 1.9 2004/02/07 16:21:40 schnetter Exp $
+
+
+
+shares: IO
+
+USES STRING out_dir
+
+USES CCTK_INT out_every
+
+
+
+private:
+
+
+
+BOOLEAN verbose "Produce log output"
+{
+} "no"
+
+
+
+CCTK_STRING out3D_dir "Name of 3D FlexIO output directory, overrides out_dir" STEERABLE = ALWAYS
+{
+ .* :: "A regex which matches everything"
+} "."
+
+CCTK_STRING out3D_vars "Variables to output in 3D FlexIO file format" STEERABLE = ALWAYS
+{
+ .* :: "A regex which matches everything"
+} ""
+
+KEYWORD out3D_format "File format to use for 3D FlexIO output" STEERABLE = ALWAYS
+{
+ "IEEE" :: "IEEE, readable by the FlexIO library"
+ "HDF4" :: "The old HDF format"
+ "HDF5" :: "The new HDF format"
+} "HDF5"
+
+CCTK_STRING out3D_extension "File extension to use for 3D FlexIO output" STEERABLE = ALWAYS
+{
+ .* :: "A regex which matches everything"
+} ""
+
+CCTK_INT out3D_every "How often to do 3D FlexIO output, overrides out_every" STEERABLE = ALWAYS
+{
+ -1:* :: "Values <= 0 disable 3D output"
+} -1
+
+
+
+CCTK_INT out3D_max_num_lower_ghosts "Maximum number of lower ghost zones that are output" STEERABLE = ALWAYS
+{
+ -1 :: "output all ghost zones"
+ 0:* :: "output that many ghost zones"
+} -1
+
+CCTK_INT out3D_max_num_upper_ghosts "Maximum number of upper ghost zones that are output" STEERABLE = ALWAYS
+{
+ -1 :: "output all ghost zones"
+ 0:* :: "output that many ghost zones"
+} -1
+
+BOOLEAN out3D_output_outer_boundary "Output all of the outer boundary ghost zones even if not all ghost zones are output" STEERABLE = ALWAYS
+{
+} "yes"
+
+
+
+CCTK_STRING in3D_dir "Name of 3D FlexIO input directory" STEERABLE = ALWAYS
+{
+ .* :: "A regex which matches everything"
+} "."
+
+CCTK_STRING in3D_vars "Variables to input in 3D FlexIO file format" STEERABLE = ALWAYS
+{
+ .* :: "A regex which matches everything"
+} ""
+
+KEYWORD in3D_format "File format to use for 3D FlexIO input" STEERABLE = ALWAYS
+{
+ "IEEE" :: "IEEE, readable by the FlexIO library"
+ "HDF4" :: "The old HDF format"
+ "HDF5" :: "The new HDF format"
+} "HDF5"
+
+CCTK_STRING in3D_extension "File extension to use for 3D FlexIO input" STEERABLE = ALWAYS
+{
+ .* :: "A regex which matches everything"
+} ""
diff --git a/CarpetAttic/CarpetIOFlexIO/schedule.ccl b/CarpetAttic/CarpetIOFlexIO/schedule.ccl
new file mode 100644
index 000000000..39a3f7ad5
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIO/schedule.ccl
@@ -0,0 +1,13 @@
+# Schedule definitions for thorn CarpetIOFlexIO
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/CarpetIOFlexIO/schedule.ccl,v 1.6 2003/11/05 16:18:37 schnetter Exp $
+
+schedule CarpetIOFlexIOStartup at STARTUP after IOUtil_Startup
+{
+ LANG: C
+} "Startup routine"
+
+schedule CarpetIOFlexIOReadData at INITIAL
+{
+ LANG: C
+ OPTIONS: global
+} "Read initial data from file"
diff --git a/CarpetAttic/CarpetIOFlexIO/src/ioflexio.cc b/CarpetAttic/CarpetIOFlexIO/src/ioflexio.cc
new file mode 100644
index 000000000..1ce401607
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIO/src/ioflexio.cc
@@ -0,0 +1,1095 @@
+#include <assert.h>
+#include <limits.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <sys/stat.h>
+#include <sys/types.h>
+
+#include <algorithm>
+#include <fstream>
+#include <sstream>
+#include <vector>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/CarpetIOFlexIO/src/ioflexio.cc,v 1.46 2004/03/08 09:12:29 schnetter Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetIOFlexIO_ioflexio_cc);
+}
+
+#include "AMRwriter.hh"
+#include "AmrGridReader.hh"
+#ifdef HDF4
+# include "HDFIO.hh"
+#endif
+#ifdef HDF5
+# include "H5IO.hh"
+#endif
+#include "IEEEIO.hh"
+#include "IO.hh"
+
+// Hack to stop FlexIO data type clash with LAM MPI
+#undef BYTE
+#undef CHAR
+
+#include "CactusBase/IOUtil/src/ioGH.h"
+#include "CactusBase/IOUtil/src/ioutil_CheckpointRecovery.h"
+
+#include "bbox.hh"
+#include "data.hh"
+#include "gdata.hh"
+#include "ggf.hh"
+#include "vect.hh"
+
+#include "carpet.hh"
+
+#include "ioflexio.hh"
+
+
+
+namespace CarpetIOFlexIO {
+
+ using namespace std;
+ using namespace Carpet;
+
+
+
+ // Variable definitions
+ int GHExtension;
+ int IOMethod;
+ vector<bool> do_truncate;
+ vector<vector<vector<int> > > last_output; // [ml][rl][var]
+
+
+
+ static const char* GetStringParameter (const char* const parametername,
+ const char* const fallback);
+ static int GetIntParameter (const char* const parametername, int fallback);
+ static bool CheckForVariable (const cGH* const cgh,
+ const char* const varlist, const int vindex);
+ static void SetFlag (int index, const char* optstring, void* arg);
+
+ static int ReadAttribute (IObase* reader, const char* name,
+ int& value);
+ static int ReadAttribute (IObase* reader, const char* name,
+ int* values, int nvalues);
+ static int ReadAttribute (IObase* reader, const char* name,
+ CCTK_REAL& value);
+ static int ReadAttribute (IObase* reader, const char* name,
+ CCTK_REAL* values, int nvalues);
+ static int ReadAttribute (IObase* reader, const char* name,
+ char& value);
+ static int ReadAttribute (IObase* reader, const char* name,
+ char*& values);
+ static int ReadAttribute (IObase* reader, const char* name,
+ char* values, int nvalues);
+
+ static void WriteAttribute (IObase* writer, const char* name,
+ int value);
+ static void WriteAttribute (IObase* writer, const char* name,
+ const int* values, int nvalues);
+ static void WriteAttribute (IObase* writer, const char* name,
+ CCTK_REAL value);
+ static void WriteAttribute (IObase* writer, const char* name,
+ const CCTK_REAL* values, int nvalues);
+ static void WriteAttribute (IObase* writer, const char* name,
+ char value);
+ static void WriteAttribute (IObase* writer, const char* name,
+ const char* values);
+ static void WriteAttribute (IObase* writer, const char* name,
+ const char* values, int nvalues);
+
+
+
+ int CarpetIOFlexIOStartup ()
+ {
+ int ierr;
+
+ CCTK_RegisterBanner ("AMR 3D FlexIO I/O provided by CarpetIOFlexIO");
+
+ GHExtension = CCTK_RegisterGHExtension ("CarpetIOFlexIO");
+ CCTK_RegisterGHExtensionSetupGH (GHExtension, SetupGH);
+
+ IOMethod = CCTK_RegisterIOMethod ("CarpetIOFlexIO");
+ CCTK_RegisterIOMethodOutputGH (IOMethod, OutputGH);
+ CCTK_RegisterIOMethodOutputVarAs (IOMethod, OutputVarAs);
+ CCTK_RegisterIOMethodTimeToOutput (IOMethod, TimeToOutput);
+ CCTK_RegisterIOMethodTriggerOutput (IOMethod, TriggerOutput);
+
+ ierr = IOUtil_RegisterRecover ("CarpetIOFlexIO", Recover);
+ assert (! ierr);
+
+ return 0;
+ }
+
+
+
+ void* SetupGH (tFleshConfig* const fc,
+ const int convLevel, cGH* const cgh)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ // Truncate all files if this is not a restart
+ do_truncate.resize(CCTK_NumVars(), true);
+
+ // No iterations have yet been output
+ last_output.resize(mglevels);
+ for (int ml=0; ml<mglevels; ++ml) {
+ last_output.at(ml).resize(maxreflevels);
+ for (int rl=0; rl<maxreflevels; ++rl) {
+ last_output.at(ml).at(rl).resize(CCTK_NumVars(), INT_MIN);
+ }
+ }
+
+ // We register only once, ergo we get only one handle. We store
+ // that statically, so there is no need to pass anything to
+ // Cactus.
+ return 0;
+ }
+
+
+
+ int OutputGH (const cGH* const cgh) {
+ for (int vindex=0; vindex<CCTK_NumVars(); ++vindex) {
+ if (TimeToOutput(cgh, vindex)) {
+ TriggerOutput(cgh, vindex);
+ }
+ }
+ return 0;
+ }
+
+
+
+ int OutputVarAs (const cGH* const cgh, const char* const varname,
+ const char* const alias) {
+ DECLARE_CCTK_PARAMETERS;
+
+ const int n = CCTK_VarIndex(varname);
+ assert (n>=0 && n<CCTK_NumVars());
+ const int group = CCTK_GroupIndexFromVarI (n);
+ assert (group>=0 && group<(int)Carpet::arrdata.size());
+ const int n0 = CCTK_FirstVarIndexI(group);
+ assert (n0>=0 && n0<CCTK_NumVars());
+ const int var = n - n0;
+ assert (var>=0 && var<CCTK_NumVars());
+ const int tl = 0;
+
+ // Check for storage
+ if (! CCTK_QueryGroupStorageI(cgh, group)) {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Cannot output variable \"%s\" because it has no storage",
+ varname);
+ return 0;
+ }
+
+ const int grouptype = CCTK_GroupTypeI(group);
+ switch (grouptype) {
+ case CCTK_SCALAR:
+ case CCTK_ARRAY:
+ assert (do_global_mode);
+ break;
+ case CCTK_GF:
+ /* do nothing */
+ break;
+ default:
+ assert (0);
+ }
+ const int rl = grouptype==CCTK_GF ? reflevel : 0;
+
+ // Get grid hierarchy extentsion from IOUtil
+ const ioGH * const iogh = (const ioGH *)CCTK_GHExtension (cgh, "IO");
+ assert (iogh);
+
+ // Create the output directory
+ const char* const myoutdir = GetStringParameter("out3D_dir", out_dir);
+ if (CCTK_MyProc(cgh)==0) {
+ CCTK_CreateDirectory (0755, myoutdir);
+ }
+
+ // Invent a file name
+ const char* extension = 0;
+ if (CCTK_Equals(out3D_format, "IEEE")) {
+ extension = ".raw";
+#ifdef HDF4
+ } else if (CCTK_Equals(out3D_format, "HDF4")) {
+ extension = ".hdf";
+#endif
+#ifdef HDF5
+ } else if (CCTK_Equals(out3D_format, "HDF5")) {
+ extension = ".h5";
+#endif
+ } else {
+ assert (0);
+ }
+ extension = GetStringParameter ("out3D_extension", extension);
+
+ ostringstream filenamebuf;
+ filenamebuf << myoutdir << "/" << alias << extension;
+ string filenamestr = filenamebuf.str();
+ const char * const filename = filenamestr.c_str();
+
+ IObase* writer = 0;
+ AMRwriter* amrwriter = 0;
+
+ // Write the file only on the root processor
+ if (CCTK_MyProc(cgh)==0) {
+
+ // If this is the first time, then create and truncate the file
+ if (do_truncate.at(n)) {
+ struct stat fileinfo;
+ if (! iogh->recovered
+ || stat(filename, &fileinfo)!=0) {
+ writer = 0;
+ if (CCTK_Equals(out3D_format, "IEEE")) {
+ writer = new IEEEIO(filename, IObase::Create);
+#ifdef HDF4
+ } else if (CCTK_Equals(out3D_format, "HDF4")) {
+ writer = new HDFIO(filename, IObase::Create);
+#endif
+#ifdef HDF5
+ } else if (CCTK_Equals(out3D_format, "HDF5")) {
+ writer = new H5IO(filename, IObase::Create);
+#endif
+ } else {
+ assert (0);
+ }
+ delete writer;
+ writer = 0;
+ }
+ }
+
+ // Open the file
+ if (CCTK_Equals(out3D_format, "IEEE")) {
+ writer = new IEEEIO(filename, IObase::Append);
+#ifdef HDF4
+ } else if (CCTK_Equals(out3D_format, "HDF4")) {
+ writer = new HDFIO(filename, IObase::Append);
+#endif
+#ifdef HDF5
+ } else if (CCTK_Equals(out3D_format, "HDF5")) {
+ writer = new H5IO(filename, IObase::Append);
+#endif
+ } else {
+ assert (0);
+ }
+ assert (writer->isValid());
+ amrwriter = new AMRwriter(*writer);
+
+ // Set datatype
+ assert (CCTK_VarTypeI(n) == CCTK_VARIABLE_REAL8
+ || (sizeof(CCTK_REAL) == sizeof(CCTK_REAL8)
+ && CCTK_VarTypeI(n) == CCTK_VARIABLE_REAL));
+ // TODO: Set datatype correctly
+ amrwriter->setType (IObase::Float64);
+
+ const int gpdim = CCTK_GroupDimI(group);
+
+ // Set coordinate information
+ double origin[dim], delta[dim], timestep;
+ for (int d=0; d<dim; ++d) {
+ origin[d] = cgh->cctk_origin_space[d];
+ delta[d] = cgh->cctk_delta_space[d];
+ }
+ timestep = cgh->cctk_delta_time;
+ amrwriter->setTopLevelParameters
+ (gpdim, origin, delta, timestep, maxreflevels);
+
+ // Set refinement information
+ int interlevel_timerefinement;
+ int interlevel_spacerefinement[dim];
+ int initial_gridplacementrefinement[dim];
+ interlevel_timerefinement = reffact;
+ for (int d=0; d<dim; ++d) {
+ interlevel_spacerefinement[d] = reffact;
+ initial_gridplacementrefinement[d] = 1;
+ }
+ amrwriter->setRefinement
+ (interlevel_timerefinement, interlevel_spacerefinement,
+ initial_gridplacementrefinement);
+
+ // Set level
+ amrwriter->setLevel (rl);
+
+ // Set current time
+ amrwriter->setTime (cgh->cctk_iteration);
+ }
+
+ // Traverse all components
+ BEGIN_MAP_LOOP(cgh, grouptype) {
+ BEGIN_COMPONENT_LOOP(cgh, grouptype) {
+
+ const ggf<dim>* ff = 0;
+
+ assert (var < (int)arrdata.at(group).at(Carpet::map).data.size());
+ ff = (ggf<dim>*)arrdata.at(group).at(Carpet::map).data.at(var);
+
+ const gdata<dim>* const data
+ = (*ff) (tl, rl, component, mglevel);
+
+ // Make temporary copy on processor 0
+ bbox<int,dim> ext = data->extent();
+ vect<int,dim> lo = ext.lower();
+ vect<int,dim> hi = ext.upper();
+ vect<int,dim> str = ext.stride();
+
+ // Ignore ghost zones if desired
+ for (int d=0; d<dim; ++d) {
+ const int max_lower_ghosts = (cgh->cctk_bbox[2*d ] && out3D_output_outer_boundary) ? -1 : out3D_max_num_lower_ghosts;
+ const int max_upper_ghosts = (cgh->cctk_bbox[2*d+1] && out3D_output_outer_boundary) ? -1 : out3D_max_num_upper_ghosts;
+
+ const int num_lower_ghosts = max_lower_ghosts == -1 ? cgh->cctk_nghostzones[d] : min(out3D_max_num_lower_ghosts, cgh->cctk_nghostzones[d]);
+ const int num_upper_ghosts = max_upper_ghosts == -1 ? cgh->cctk_nghostzones[d] : min(out3D_max_num_upper_ghosts, cgh->cctk_nghostzones[d]);
+
+ lo[d] += (cgh->cctk_nghostzones[d] - num_lower_ghosts) * str[d];
+ hi[d] -= (cgh->cctk_nghostzones[d] - num_upper_ghosts) * str[d];
+ }
+
+ ext = bbox<int,dim>(lo,hi,str);
+
+ gdata<dim>* const tmp = data->make_typed (n);
+ tmp->allocate (ext, 0);
+ for (comm_state<dim> state; !state.done(); state.step()) {
+ tmp->copy_from (state, data, ext);
+ }
+
+ // Write data
+ if (CCTK_MyProc(cgh)==0) {
+ int origin[dim], dims[dim];
+ for (int d=0; d<dim; ++d) {
+ origin[d] = (ext.lower() / ext.stride())[d];
+ dims[d] = (ext.shape() / ext.stride())[d];
+ }
+ amrwriter->write (origin, dims, (void*)tmp->storage());
+
+ // Write some additional attributes
+
+ // Legacy arguments
+ {
+ char * fullname = CCTK_FullName(n);
+ assert (fullname);
+ WriteAttribute (writer, "name", fullname);
+ free (fullname);
+ }
+
+ // Group arguments
+ WriteAttribute (writer, "group_version", 1);
+ {
+ char * fullname = CCTK_FullName(n);
+ assert (fullname);
+ WriteAttribute (writer, "group_fullname", fullname);
+ free (fullname);
+ }
+ WriteAttribute (writer, "group_varname", CCTK_VarName(n));
+ {
+ char * groupname = CCTK_GroupName(group);
+ assert (groupname);
+ WriteAttribute (writer, "group_groupname", groupname);
+ free (groupname);
+ }
+ switch (grouptype) {
+ case CCTK_GF:
+ WriteAttribute (writer, "group_grouptype", "CCTK_GF");
+ break;
+ case CCTK_ARRAY:
+ WriteAttribute (writer, "group_grouptype", "CCTK_ARRAY");
+ break;
+ case CCTK_SCALAR:
+ WriteAttribute (writer, "group_grouptype", "CCTK_SCALAR");
+ break;
+ default:
+ assert (0);
+ }
+ WriteAttribute (writer, "group_dim", CCTK_GroupDimI(group));
+ WriteAttribute (writer, "group_timelevel", tl);
+ WriteAttribute (writer, "group_numtimelevels", CCTK_NumTimeLevelsI(group));
+
+ // Cactus arguments
+ WriteAttribute (writer, "cctk_version", 1);
+ WriteAttribute (writer, "cctk_dim", cgh->cctk_dim);
+ WriteAttribute (writer, "cctk_iteration", cgh->cctk_iteration);
+// TODO: disable temporarily
+// WriteAttribute (writer, "cctk_nmaps", cgh->cctk_nmaps);
+// WriteAttribute (writer, "cctk_map", cgh->cctk_map);
+ WriteAttribute (writer, "cctk_gsh", cgh->cctk_gsh, dim);
+ WriteAttribute (writer, "cctk_lsh", cgh->cctk_lsh, dim);
+ WriteAttribute (writer, "cctk_lbnd", cgh->cctk_lbnd, dim);
+ WriteAttribute (writer, "cctk_delta_time", cgh->cctk_delta_time);
+ WriteAttribute (writer, "cctk_delta_space", cgh->cctk_delta_space, dim);
+ WriteAttribute (writer, "cctk_origin_space", cgh->cctk_origin_space, dim);
+ WriteAttribute (writer, "cctk_bbox", cgh->cctk_bbox, 2*dim);
+ WriteAttribute (writer, "cctk_levfac", cgh->cctk_levfac, dim);
+ WriteAttribute (writer, "cctk_levoff", cgh->cctk_levoff, dim);
+ WriteAttribute (writer, "cctk_levoffdenom", cgh->cctk_levoffdenom, dim);
+ WriteAttribute (writer, "cctk_timefac", cgh->cctk_timefac);
+ WriteAttribute (writer, "cctk_convlevel", cgh->cctk_convlevel);
+ WriteAttribute (writer, "cctk_convfac", cgh->cctk_convfac);
+ WriteAttribute (writer, "cctk_nghostzones", cgh->cctk_nghostzones, dim);
+ WriteAttribute (writer, "cctk_time", cgh->cctk_time);
+
+ // Carpet arguments
+ WriteAttribute (writer, "carpet_version", 1);
+ WriteAttribute (writer, "carpet_dim", dim);
+ WriteAttribute (writer, "carpet_basemglevel", basemglevel);
+ WriteAttribute (writer, "carpet_mglevel", mglevel);
+ WriteAttribute (writer, "carpet_mglevels", mglevels);
+ WriteAttribute (writer, "carpet_mgface", mgfact);
+ WriteAttribute (writer, "carpet_reflevel", reflevel);
+ WriteAttribute (writer, "carpet_reflevels", reflevels);
+ WriteAttribute (writer, "carpet_reffact", reffact);
+ WriteAttribute (writer, "carpet_map", Carpet::map);
+ WriteAttribute (writer, "carpet_maps", maps);
+ WriteAttribute (writer, "carpet_component", component);
+ WriteAttribute (writer, "carpet_components", vhh.at(Carpet::map)->components(reflevel));
+ }
+
+ // Delete temporary copy
+ delete tmp;
+
+ } END_COMPONENT_LOOP;
+ } END_MAP_LOOP;
+
+ // Close the file
+ if (CCTK_MyProc(cgh)==0) {
+ delete amrwriter;
+ amrwriter = 0;
+ delete writer;
+ writer = 0;
+ }
+
+ // Don't truncate again
+ do_truncate.at(n) = false;
+
+ return 0;
+ }
+
+
+
+ int TimeToOutput (const cGH* const cctkGH, const int vindex) {
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ assert (vindex>=0 && vindex<CCTK_NumVars());
+
+ const int grouptype = CCTK_GroupTypeFromVarI(vindex);
+ switch (grouptype) {
+ case CCTK_SCALAR:
+ case CCTK_ARRAY:
+ if (! do_global_mode) return 0;
+ break;
+ case CCTK_GF:
+ /* do nothing */
+ break;
+ default:
+ assert (0);
+ }
+
+ const int myoutevery = GetIntParameter("out3D_every", out_every);
+
+ if (myoutevery < 0) {
+ // Nothing should be output at all
+ return 0;
+ }
+
+ if (cctk_iteration % myoutevery != 0) {
+ // Nothing should be output during this iteration
+ return 0;
+ }
+
+ if (! CheckForVariable(cctkGH, GetStringParameter("out3D_vars",""), vindex)) {
+ // This variable should not be output
+ return 0;
+ }
+
+ if (last_output.at(mglevel).at(reflevel).at(vindex) == cctk_iteration) {
+ // Has already been output during this iteration
+ char* varname = CCTK_FullName(vindex);
+ CCTK_VWarn (5, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Skipping output for variable \"%s\", because this variable "
+ "has already been output during the current iteration -- "
+ "probably via a trigger during the analysis stage",
+ varname);
+ free (varname);
+ return 0;
+ }
+
+ assert (last_output.at(mglevel).at(reflevel).at(vindex) < cctk_iteration);
+
+ // Should be output during this iteration
+ return 1;
+ }
+
+
+
+ int TriggerOutput (const cGH* const cgh, const int vindex) {
+ assert (vindex>=0 && vindex<CCTK_NumVars());
+
+ char* varname = CCTK_FullName(vindex);
+ const int retval = OutputVarAs (cgh, varname, CCTK_VarName(vindex));
+ free (varname);
+
+ last_output.at(mglevel).at(reflevel).at(vindex) = cgh->cctk_iteration;
+
+ return retval;
+ }
+
+
+
+ int InputGH (const cGH* const cgh) {
+ int retval = 0;
+ for (int vindex=0; vindex<CCTK_NumVars(); ++vindex) {
+ if (CheckForVariable(cgh, GetStringParameter("in3D_vars",""), vindex)) {
+ char* varname = CCTK_FullName(vindex);
+ retval = InputVarAs (cgh, varname, CCTK_VarName(vindex));
+ free (varname);
+ if (retval != 0) return retval;
+ }
+ }
+ return retval;
+ }
+
+
+
+ int InputVarAs (const cGH* const cgh, const char* const varname,
+ const char* const alias) {
+ DECLARE_CCTK_PARAMETERS;
+
+ const int n = CCTK_VarIndex(varname);
+ assert (n>=0 && n<CCTK_NumVars());
+ const int group = CCTK_GroupIndexFromVarI (n);
+ assert (group>=0 && group<(int)Carpet::arrdata.size());
+ const int n0 = CCTK_FirstVarIndexI(group);
+ assert (n0>=0 && n0<CCTK_NumVars());
+ const int var = n - n0;
+ assert (var>=0 && var<CCTK_NumVars());
+ const int tl = 0;
+
+ // Check for storage
+ if (! CCTK_QueryGroupStorageI(cgh, group)) {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Cannot input variable \"%s\" because it has no storage",
+ varname);
+ return 0;
+ }
+
+ const int grouptype = CCTK_GroupTypeI(group);
+ const int rl = grouptype==CCTK_GF ? reflevel : 0;
+
+ // Find the input directory
+ const char* myindir = GetStringParameter("in3D_dir", ".");
+
+ // Invent a file name
+ const char* extension = 0;
+ if (CCTK_Equals(in3D_format, "IEEE")) {
+ extension = ".raw";
+#ifdef HDF4
+ } else if (CCTK_Equals(in3D_format, "HDF4")) {
+ extension = ".hdf";
+#endif
+#ifdef HDF5
+ } else if (CCTK_Equals(in3D_format, "HDF5")) {
+ extension = ".h5";
+#endif
+ } else {
+ assert (0);
+ }
+ extension = GetStringParameter ("in3D_extension", extension);
+
+ ostringstream filenamebuf;
+ filenamebuf << myindir << "/" << alias << extension;
+ string filenamestr = filenamebuf.str();
+ const char * const filename = filenamestr.c_str();
+
+ IObase* reader = 0;
+ AmrGridReader* amrreader = 0;
+ int ndatasets = -1;
+
+ const int gpdim = CCTK_GroupDimI(group);
+
+ int rank;
+ int dims[dim];
+ int nbytes;
+
+ // Read the file only on the root processor
+ if (CCTK_MyProc(cgh)==0) {
+
+ // Open the file
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Opening file \"%s\"", filename);
+ if (CCTK_Equals(in3D_format, "IEEE")) {
+ reader = new IEEEIO(filename, IObase::Read);
+#ifdef HDF4
+ } else if (CCTK_Equals(in3D_format, "HDF4")) {
+ reader = new HDFIO(filename, IObase::Read);
+#endif
+#ifdef HDF5
+ } else if (CCTK_Equals(in3D_format, "HDF5")) {
+ reader = new H5IO(filename, IObase::Read);
+#endif
+ } else {
+ assert (0);
+ }
+ if (!reader->isValid()) {
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Could not open file \"%s\" for reading", filename);
+ }
+ assert (reader->isValid());
+
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Reading AMR info");
+ amrreader = new AmrGridReader(*reader);
+
+ // Read information about dataset
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Reading dataset info");
+ IObase::DataType numbertype;
+ reader->readInfo (numbertype, rank, dims);
+ nbytes = IObase::nBytes(numbertype,rank,dims);
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "type=%d rank=%d dims=[%d,%d,%d] nbytes=%d", (int)numbertype, rank, dims[0], dims[1], dims[2], nbytes);
+
+ // Check rank
+ assert (rank==gpdim);
+
+ // Check datatype
+ // TODO: Check datatype correctly
+ assert (CCTK_VarTypeI(n) == CCTK_VARIABLE_REAL8
+ || (sizeof(CCTK_REAL) == sizeof(CCTK_REAL8)
+ && CCTK_VarTypeI(n) == CCTK_VARIABLE_REAL));
+
+ // TODO: check grid spacing
+
+ // Number of datasets
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Reading number of datasets");
+ ndatasets = reader->nDatasets();
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "ndatasets=%d", ndatasets);
+ assert (ndatasets>=0);
+ }
+
+ // Broadcast rank, dimensions, and nbytes
+ MPI_Bcast (&rank, 1, MPI_INT, 0, dist::comm);
+ assert (rank>=1);
+ MPI_Bcast (&dims, rank, MPI_INT, 0, dist::comm);
+ for (int d=0; d<rank; ++d) assert (dims[d]>=0);
+ MPI_Bcast (&nbytes, 1, MPI_INT, 0, dist::comm);
+ assert (nbytes>=0);
+
+ // Broadcast number of datasets
+ MPI_Bcast (&ndatasets, 1, MPI_INT, 0, dist::comm);
+ assert (ndatasets>=0);
+
+ // Read some datasets
+ bool did_read_something = false;
+ vector<ibset> regions_read(Carpet::maps);
+ for (int dataset=0; dataset<ndatasets; ++dataset) {
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Handling dataset #%d", dataset);
+
+ // Read grid
+ AmrGrid* amrgrid = 0;
+ int want_dataset;
+ int amr_level;
+ int amr_origin[dim];
+ int amr_dims[dim];
+
+ if (CCTK_MyProc(cgh)==0) {
+
+ // Read data
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Reading AMR data");
+ amrgrid = amrreader->getGrid(dataset);
+ assert (amrgrid!=0);
+ assert (amrgrid->data!=0);
+
+ {
+ char * name;
+ ReadAttribute (reader, "name", name);
+ if (verbose) {
+ if (name) {
+ CCTK_VInfo (CCTK_THORNSTRING, "Dataset name is \"%s\"", name);
+ }
+ }
+ want_dataset = name && CCTK_EQUALS(name, varname);
+ free (name);
+ }
+
+ // If iorigin attribute is absent, assume file has unigrid
+ // data.
+ {
+ IObase::DataType atype;
+ int alength;
+ if (reader->readAttributeInfo("iorigin", atype, alength) < 0) {
+ amrgrid->level = 0;
+ for (int d=0; d<gpdim; ++d) {
+ amrgrid->iorigin[d] = 0;
+ }
+ }
+ }
+
+ amr_level = amrgrid->level;
+ for (int d=0; d<gpdim; ++d) {
+ amr_origin[d] = amrgrid->iorigin[d];
+ amr_dims[d] = amrgrid->dims[d];
+ }
+ for (int d=gpdim; d<dim; ++d) {
+ amr_origin[d] = 0;
+ amr_dims[d] = 1;
+ }
+
+ } // MyProc == 0
+
+ MPI_Bcast (&want_dataset, 1, MPI_INT, 0, dist::comm);
+ MPI_Bcast (&amr_level, 1, MPI_INT, 0, dist::comm);
+ MPI_Bcast (amr_origin, dim, MPI_INT, 0, dist::comm);
+ MPI_Bcast (amr_dims, dim, MPI_INT, 0, dist::comm);
+
+ if (want_dataset && amr_level == reflevel) {
+ did_read_something = true;
+
+ // Traverse all components on all levels
+ BEGIN_MAP_LOOP(cgh, grouptype) {
+ BEGIN_COMPONENT_LOOP(cgh, grouptype) {
+
+ ggf<dim>* ff = 0;
+
+ assert (var < (int)arrdata.at(group).at(Carpet::map).data.size());
+ ff = (ggf<dim>*)arrdata.at(group).at(Carpet::map).data.at(var);
+
+ gdata<dim>* const data = (*ff) (tl, rl, component, mglevel);
+
+ // Create temporary data storage on processor 0
+ const vect<int,dim> str
+ = vect<int,dim>(maxreflevelfact/reflevelfact);
+ const vect<int,dim> lb = vect<int,dim>::ref(amr_origin) * str;
+ const vect<int,dim> ub
+ = lb + (vect<int,dim>::ref(amr_dims) - 1) * str;
+ const bbox<int,dim> ext(lb,ub,str);
+
+ gdata<dim>* const tmp = data->make_typed (n);
+
+ if (CCTK_MyProc(cgh)==0) {
+ tmp->allocate (ext, 0, amrgrid->data);
+ } else {
+ tmp->allocate (ext, 0);
+ }
+
+ // Initialise with what is found in the file -- this does
+ // not guarantee that everything is initialised.
+ const bbox<int,dim> overlap = tmp->extent() & data->extent();
+ regions_read.at(Carpet::map) |= overlap;
+
+ // Copy into grid function
+ for (comm_state<dim> state; !state.done(); state.step()) {
+ data->copy_from (state, tmp, overlap);
+ }
+
+ // Delete temporary copy
+ delete tmp;
+
+ } END_COMPONENT_LOOP;
+ } END_MAP_LOOP;
+
+ } // if want_dataset && level == reflevel
+
+ if (CCTK_MyProc(cgh)==0) {
+ free (amrgrid->data);
+ free (amrgrid);
+ amrgrid = 0;
+ }
+
+ } // loop over datasets
+
+ // Close the file
+ if (CCTK_MyProc(cgh)==0) {
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Deleting AMR info");
+ delete amrreader;
+
+ amrreader = 0;
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Closing file");
+ delete reader;
+ reader = 0;
+ }
+
+ // Was everything initialised?
+ if (did_read_something) {
+ for (int m=0; m<Carpet::maps; ++m) {
+ dh<dim>& thedd = *arrdata.at(group).at(m).dd;
+ ibset all_exterior;
+ for (size_t c=0; c<thedd.boxes.at(rl).size(); ++c) {
+ all_exterior |= thedd.boxes.at(rl).at(c).at(mglevel).exterior;
+ }
+ if (regions_read.at(m) != all_exterior) {
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Variable \"%s\" could not be initialised from file \"%s\" -- the file contains data for this variable, but the grids therein are too small",
+ varname, filename);
+ }
+ }
+ } // if did_read_something
+
+ return did_read_something ? 0 : -1;
+ }
+
+
+
+ /** returns the number of recovered variables */
+ int Recover (cGH* const cgh, const char *basefilename,
+ const int called_from)
+ {
+ assert (cgh);
+ assert (basefilename);
+ assert (called_from == CP_INITIAL_DATA
+ || called_from == CP_EVOLUTION_DATA
+ || called_from == CP_RECOVER_PARAMETERS
+ || called_from == CP_RECOVER_DATA
+ || called_from == FILEREADER_DATA);
+
+ // the other modes are not supported yet
+ assert (called_from == FILEREADER_DATA);
+
+ const ioGH * const iogh = (const ioGH *) CCTK_GHExtension (cgh, "IO");
+ assert (iogh);
+
+ int num_vars_read = 0;
+ assert (iogh->do_inVars);
+ for (int n=0; n<CCTK_NumVars(); ++n) {
+ if (iogh->do_inVars[n]) {
+ char * const fullname = CCTK_FullName(n);
+ assert (fullname);
+ const int ierr = InputVarAs (cgh, fullname, basefilename);
+ if (! ierr) {
+ ++ num_vars_read;
+ }
+ free (fullname);
+ }
+ }
+
+ return num_vars_read;
+ }
+
+
+
+ int CarpetIOFlexIOReadData (CCTK_ARGUMENTS)
+ {
+ DECLARE_CCTK_ARGUMENTS;
+ return InputGH(cctkGH);
+ }
+
+
+
+ const char* GetStringParameter (const char* const parametername,
+ const char* const fallback)
+ {
+ if (CCTK_ParameterQueryTimesSet (parametername, CCTK_THORNSTRING) > 0) {
+ int ptype;
+ const char* const* const ppval = (const char* const*)CCTK_ParameterGet
+ (parametername, CCTK_THORNSTRING, &ptype);
+ assert (ppval);
+ const char* const pval = *ppval;
+ assert (ptype == PARAMETER_STRING);
+ return pval;
+ }
+
+ return fallback;
+ }
+
+
+
+ int GetIntParameter (const char* const parametername, int fallback)
+ {
+ if (CCTK_ParameterQueryTimesSet (parametername, CCTK_THORNSTRING) > 0) {
+ int ptype;
+ const int* const ppval = (const int*)CCTK_ParameterGet
+ (parametername, CCTK_THORNSTRING, &ptype);
+ assert (ppval);
+ const int pval = *ppval;
+ assert (ptype == PARAMETER_INT);
+ return pval;
+ }
+
+ return fallback;
+ }
+
+
+
+ bool CheckForVariable (const cGH* const cgh,
+ const char* const varlist, const int vindex)
+ {
+ const int numvars = CCTK_NumVars();
+ assert (vindex>=0 && vindex<numvars);
+
+ vector<bool> flags(numvars);
+
+ CCTK_TraverseString (varlist, SetFlag, &flags, CCTK_GROUP_OR_VAR);
+
+ return flags.at(vindex);
+ }
+
+ void SetFlag (int index, const char* optstring, void* arg)
+ {
+ vector<bool>& flags = *(vector<bool>*)arg;
+ flags.at(index) = true;
+ }
+
+
+
+ int ReadAttribute (IObase* reader, const char* name, int& value)
+ {
+ return ReadAttribute (reader, name, &value, 1);
+ }
+
+ int ReadAttribute (IObase* reader, const char* name,
+ int* values, int nvalues)
+ {
+ assert (reader);
+ assert (name);
+ assert (values);
+
+ IObase::DataType atype;
+ int alength;
+ const int attrnum = reader->readAttributeInfo (name, atype, alength);
+ if (attrnum<0) return attrnum;
+ if (atype != IObase::Int32) return -100;
+
+ vector<CCTK_INT4> values1(alength);
+ reader->readAttribute (attrnum, &values1.at(0));
+ for (int i=0; i<min(alength, nvalues); ++i) {
+ values[i] = values1[i];
+ }
+
+ return alength;
+ }
+
+
+
+ int ReadAttribute (IObase* reader, const char* name, CCTK_REAL& value)
+ {
+ return ReadAttribute (reader, name, &value, 1);
+ }
+
+ int ReadAttribute (IObase* reader, const char* name,
+ CCTK_REAL* values, int nvalues)
+ {
+ assert (reader);
+ assert (name);
+ assert (values);
+
+ IObase::DataType atype;
+ int alength;
+ const int attrnum = reader->readAttributeInfo (name, atype, alength);
+ if (attrnum<0) return attrnum;
+ if (atype != IObase::Float64) return -100;
+
+ vector<CCTK_REAL8> values1(alength);
+ reader->readAttribute (attrnum, &values1.at(0));
+ for (int i=0; i<min(alength, nvalues); ++i) {
+ values[i] = values1[i];
+ }
+
+ return alength;
+ }
+
+
+
+ int ReadAttribute (IObase* reader, const char* name, char& value)
+ {
+ return ReadAttribute (reader, name, &value, 1);
+ }
+
+ int ReadAttribute (IObase* reader, const char* name, char*& values)
+ {
+ assert (reader);
+ assert (name);
+
+ values = NULL;
+
+ IObase::DataType atype;
+ int alength;
+ const int attrnum = reader->readAttributeInfo (name, atype, alength);
+ if (attrnum<0) return attrnum;
+ if (atype != IObase::Char8) return -100;
+
+ values = (char *) malloc (alength+1);
+ if (!values) return -101;
+
+ reader->readAttribute (attrnum, values);
+
+ return alength;
+ }
+
+ int ReadAttribute (IObase* reader, const char* name,
+ char* values, int nvalues)
+ {
+ assert (reader);
+ assert (name);
+ assert (values);
+
+ IObase::DataType atype;
+ int alength;
+ const int attrnum = reader->readAttributeInfo (name, atype, alength);
+ if (attrnum<0) return attrnum;
+ if (atype != IObase::Char8) return -100;
+
+ vector<char> values1(alength);
+ reader->readAttribute (attrnum, &values1.at(0));
+ for (int i=0; i<min(alength, nvalues); ++i) {
+ values[i] = values1[i];
+ }
+
+ return alength;
+ }
+
+
+
+ void WriteAttribute (IObase* writer, const char* name, int value)
+ {
+ WriteAttribute (writer, name, &value, 1);
+ }
+
+ void WriteAttribute (IObase* writer, const char* name,
+ const int* values, int nvalues)
+ {
+ assert (writer);
+ assert (name);
+ assert (values);
+ vector<CCTK_INT4> values1(nvalues);
+ for (int i=0; i<nvalues; ++i) {
+ values1[i] = values[i];
+ }
+ writer->writeAttribute (name, IObase::Int32, nvalues, &values1.at(0));
+ }
+
+ void WriteAttribute (IObase* writer, const char* name, CCTK_REAL value)
+ {
+ WriteAttribute (writer, name, &value, 1);
+ }
+
+ void WriteAttribute (IObase* writer, const char* name,
+ const CCTK_REAL* values, int nvalues)
+ {
+ assert (writer);
+ assert (name);
+ assert (values);
+ vector<CCTK_REAL8> values1(nvalues);
+ for (int i=0; i<nvalues; ++i) {
+ values1[i] = values[i];
+ }
+ writer->writeAttribute (name, IObase::Float64, nvalues, &values1.at(0));
+ }
+
+ void WriteAttribute (IObase* writer, const char* name, char value)
+ {
+ WriteAttribute (writer, name, &value, 1);
+ }
+
+ void WriteAttribute (IObase* writer, const char* name, const char * values)
+ {
+ WriteAttribute (writer, name, values, strlen(values) + 1);
+ }
+
+ void WriteAttribute (IObase* writer, const char* name,
+ const char * values, int nvalues)
+ {
+ assert (writer);
+ assert (name);
+ assert (values);
+ writer->writeAttribute (name, IObase::Char8, nvalues, values);
+ }
+
+
+
+} // namespace CarpetIOFlexIO
diff --git a/CarpetAttic/CarpetIOFlexIO/src/ioflexio.h b/CarpetAttic/CarpetIOFlexIO/src/ioflexio.h
new file mode 100644
index 000000000..7e759749a
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIO/src/ioflexio.h
@@ -0,0 +1,22 @@
+/* $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/CarpetIOFlexIO/src/ioflexio.h,v 1.5 2003/11/05 16:18:38 schnetter Exp $ */
+
+#ifndef CARPETIOFLEXIO_H
+#define CARPETIOFLEXIO_H
+
+#include "cctk_Arguments.h"
+
+#ifdef __cplusplus
+namespace CarpetIOFlexIO {
+ extern "C" {
+#endif
+
+ /* Scheduled functions */
+ int CarpetIOFlexIOStartup (void);
+ int CarpetIOFlexIOReadData (CCTK_ARGUMENTS);
+
+#ifdef __cplusplus
+ } /* extern "C" */
+} /* namespace CarpetIOFlexIO */
+#endif
+
+#endif /* !defined(CARPETIOFLEXIO_H) */
diff --git a/CarpetAttic/CarpetIOFlexIO/src/ioflexio.hh b/CarpetAttic/CarpetIOFlexIO/src/ioflexio.hh
new file mode 100644
index 000000000..156f9baaf
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIO/src/ioflexio.hh
@@ -0,0 +1,39 @@
+// $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/CarpetIOFlexIO/src/ioflexio.hh,v 1.8 2004/02/27 16:23:34 schnetter Exp $
+
+#ifndef CARPETIOFLEXIO_HH
+#define CARPETIOFLEXIO_HH
+
+#include <vector>
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+
+#include "ioflexio.h"
+
+namespace CarpetIOFlexIO {
+
+ // Variable definitions
+ extern int GHExtension;
+ extern int IOMethod;
+ extern vector<bool> do_truncate;
+ extern vector<vector<vector<int> > > last_output; // [ml][rl][var]
+
+ void* SetupGH (tFleshConfig* const fc,
+ const int convLevel, cGH* const cgh);
+
+ int OutputGH (const cGH* const cgh);
+ int OutputVarAs (const cGH* const cgh, const char* const varname,
+ const char* const alias);
+ int TimeToOutput (const cGH* const cgh, const int vindex);
+ int TriggerOutput (const cGH* const cgh, const int vindex);
+
+ int InputGH (const cGH* const cgh);
+ int InputVarAs (const cGH* const cgh, const char* const varname,
+ const char* const alias);
+
+ int Recover (cGH* const cgh, const char *basefilename,
+ const int called_from);
+
+} // namespace CarpetIOFlexIO
+
+#endif // !defined(CARPETIOFLEXIO_HH)
diff --git a/CarpetAttic/CarpetIOFlexIO/src/make.code.defn b/CarpetAttic/CarpetIOFlexIO/src/make.code.defn
new file mode 100644
index 000000000..a18d9d672
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIO/src/make.code.defn
@@ -0,0 +1,5 @@
+# Main make.code.defn file for thorn CarpetIOFlexIO
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/CarpetIOFlexIO/src/make.code.defn,v 1.6 2003/07/04 16:03:57 tradke Exp $
+
+# Source files in this directory
+SRCS = ioflexio.cc
diff --git a/CarpetAttic/CarpetIOFlexIOCheckpoint/COPYING b/CarpetAttic/CarpetIOFlexIOCheckpoint/COPYING
new file mode 100644
index 000000000..1942c4334
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIOCheckpoint/COPYING
@@ -0,0 +1,341 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 59 Temple Place - Suite 330
+ Boston, MA 02111-1307, USA.
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
+
+ The licenses for most software are designed to take away your
+freedom to share and change it. By contrast, the GNU General Public
+License is intended to guarantee your freedom to share and change free
+software--to make sure the software is free for all its users. This
+General Public License applies to most of the Free Software
+Foundation's software and to any other program whose authors commit to
+using it. (Some other Free Software Foundation software is covered by
+the GNU Library General Public License instead.) You can apply it to
+your programs, too.
+
+ When we speak of free software, we are referring to freedom, not
+price. Our General Public Licenses are designed to make sure that you
+have the freedom to distribute copies of free software (and charge for
+this service if you wish), that you receive source code or can get it
+if you want it, that you can change the software or use pieces of it
+in new free programs; and that you know you can do these things.
+
+ To protect your rights, we need to make restrictions that forbid
+anyone to deny you these rights or to ask you to surrender the rights.
+These restrictions translate to certain responsibilities for you if you
+distribute copies of the software, or if you modify it.
+
+ For example, if you distribute copies of such a program, whether
+gratis or for a fee, you must give the recipients all the rights that
+you have. You must make sure that they, too, receive or can get the
+source code. And you must show them these terms so they know their
+rights.
+
+ We protect your rights with two steps: (1) copyright the software, and
+(2) offer you this license which gives you legal permission to copy,
+distribute and/or modify the software.
+
+ Also, for each author's protection and ours, we want to make certain
+that everyone understands that there is no warranty for this free
+software. If the software is modified by someone else and passed on, we
+want its recipients to know that what they have is not the original, so
+that any problems introduced by others will not reflect on the original
+authors' reputations.
+
+ Finally, any free program is threatened constantly by software
+patents. We wish to avoid the danger that redistributors of a free
+program will individually obtain patent licenses, in effect making the
+program proprietary. To prevent this, we have made it clear that any
+patent must be licensed for everyone's free use or not licensed at all.
+
+ The precise terms and conditions for copying, distribution and
+modification follow.
+
+ GNU GENERAL PUBLIC LICENSE
+ TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
+
+ 0. This License applies to any program or other work which contains
+a notice placed by the copyright holder saying it may be distributed
+under the terms of this General Public License. The "Program", below,
+refers to any such program or work, and a "work based on the Program"
+means either the Program or any derivative work under copyright law:
+that is to say, a work containing the Program or a portion of it,
+either verbatim or with modifications and/or translated into another
+language. (Hereinafter, translation is included without limitation in
+the term "modification".) Each licensee is addressed as "you".
+
+Activities other than copying, distribution and modification are not
+covered by this License; they are outside its scope. The act of
+running the Program is not restricted, and the output from the Program
+is covered only if its contents constitute a work based on the
+Program (independent of having been made by running the Program).
+Whether that is true depends on what the Program does.
+
+ 1. You may copy and distribute verbatim copies of the Program's
+source code as you receive it, in any medium, provided that you
+conspicuously and appropriately publish on each copy an appropriate
+copyright notice and disclaimer of warranty; keep intact all the
+notices that refer to this License and to the absence of any warranty;
+and give any other recipients of the Program a copy of this License
+along with the Program.
+
+You may charge a fee for the physical act of transferring a copy, and
+you may at your option offer warranty protection in exchange for a fee.
+
+ 2. You may modify your copy or copies of the Program or any portion
+of it, thus forming a work based on the Program, and copy and
+distribute such modifications or work under the terms of Section 1
+above, provided that you also meet all of these conditions:
+
+ a) You must cause the modified files to carry prominent notices
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+
+ b) You must cause any work that you distribute or publish, that in
+ whole or in part contains or is derived from the Program or any
+ part thereof, to be licensed as a whole at no charge to all third
+ parties under the terms of this License.
+
+ c) If the modified program normally reads commands interactively
+ when run, you must cause it, when started running for such
+ interactive use in the most ordinary way, to print or display an
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+ notice that there is no warranty (or else, saying that you provide
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+ these conditions, and telling the user how to view a copy of this
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+
+These requirements apply to the modified work as a whole. If
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+Each version is given a distinguishing version number. If the Program
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+later version", you have the option of following the terms and conditions
+either of that version or of any later version published by the Free
+Software Foundation. If the Program does not specify a version number of
+this License, you may choose any version ever published by the Free Software
+Foundation.
+
+ 10. If you wish to incorporate parts of the Program into other free
+programs whose distribution conditions are different, write to the author
+to ask for permission. For software which is copyrighted by the Free
+Software Foundation, write to the Free Software Foundation; we sometimes
+make exceptions for this. Our decision will be guided by the two goals
+of preserving the free status of all derivatives of our free software and
+of promoting the sharing and reuse of software generally.
+
+ NO WARRANTY
+
+ 11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
+FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN
+OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
+PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED
+OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
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+TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE
+PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING,
+REPAIR OR CORRECTION.
+
+ 12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
+REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,
+INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING
+OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED
+TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
+YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
+PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
+POSSIBILITY OF SUCH DAMAGES.
+
+ END OF TERMS AND CONDITIONS
+
+ How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+ To do so, attach the following notices to the program. It is safest
+to attach them to the start of each source file to most effectively
+convey the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+ <one line to give the program's name and a brief idea of what it does.>
+ Copyright (C) 19yy <name of author>
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation; either version 2 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program; see the file COPYING. If not, write to
+ the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA.
+
+Also add information on how to contact you by electronic and paper mail.
+
+If the program is interactive, make it output a short notice like this
+when it starts in an interactive mode:
+
+ Gnomovision version 69, Copyright (C) 19yy name of author
+ Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+ This is free software, and you are welcome to redistribute it
+ under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License. Of course, the commands you use may
+be called something other than `show w' and `show c'; they could even be
+mouse-clicks or menu items--whatever suits your program.
+
+You should also get your employer (if you work as a programmer) or your
+school, if any, to sign a "copyright disclaimer" for the program, if
+necessary. Here is a sample; alter the names:
+
+ Yoyodyne, Inc., hereby disclaims all copyright interest in the program
+ `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+ <signature of Ty Coon>, 1 April 1989
+ Ty Coon, President of Vice
+
+This General Public License does not permit incorporating your program into
+proprietary programs. If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library. If this is what you want to do, use the GNU Library General
+Public License instead of this License.
diff --git a/CarpetAttic/CarpetIOFlexIOCheckpoint/README b/CarpetAttic/CarpetIOFlexIOCheckpoint/README
new file mode 100644
index 000000000..d9385ccff
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIOCheckpoint/README
@@ -0,0 +1,8 @@
+Cactus Code Thorn CarpetIOFlexIO
+Authors : Erik Schnetter <schnetter@uni-tuebingen.de>, Christian Ott <cott@aei.mpg.de>
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/CarpetIOFlexIOCheckpoint/README,v 1.2 2003/07/14 15:41:08 schnetter Exp $
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+FlexIO based file I/O
diff --git a/CarpetAttic/CarpetIOFlexIOCheckpoint/configuration.ccl b/CarpetAttic/CarpetIOFlexIOCheckpoint/configuration.ccl
new file mode 100644
index 000000000..7be774467
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIOCheckpoint/configuration.ccl
@@ -0,0 +1,4 @@
+# Configuration definitions for thorn CarpetIOFlexIO
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/CarpetIOFlexIOCheckpoint/configuration.ccl,v 1.2 2003/09/17 13:47:00 cvs_anon Exp $
+
+Requires Thorns: Carpet CarpetLib FlexIO
diff --git a/CarpetAttic/CarpetIOFlexIOCheckpoint/interface.ccl b/CarpetAttic/CarpetIOFlexIOCheckpoint/interface.ccl
new file mode 100644
index 000000000..94d56dceb
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIOCheckpoint/interface.ccl
@@ -0,0 +1,22 @@
+# Interface definition for thorn CarpetIOFlexIO
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/CarpetIOFlexIOCheckpoint/interface.ccl,v 1.6 2003/09/17 13:47:00 cvs_anon Exp $
+
+implements: IOFlexIO
+
+uses include header: carpet.hh
+
+uses include header: bbox.hh
+uses include header: vect.hh
+
+uses include header: data.hh
+uses include header: gdata.hh
+
+uses include header: ggf.hh
+
+# FlexIO header files
+uses include header: IO.hh
+uses include header: IEEEIO.hh
+uses include header: HDFIO.hh
+uses include header: H5IO.hh
+uses include header: AMRwriter.hh
+uses include header: AmrGridReader.hh
diff --git a/CarpetAttic/CarpetIOFlexIOCheckpoint/param.ccl b/CarpetAttic/CarpetIOFlexIOCheckpoint/param.ccl
new file mode 100644
index 000000000..079ebb72c
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIOCheckpoint/param.ccl
@@ -0,0 +1,108 @@
+# Parameter definitions for thorn CarpetIOFlexIO
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/CarpetIOFlexIOCheckpoint/param.ccl,v 1.3 2003/10/02 11:34:03 cvs_anon Exp $
+
+
+
+#shares: IO
+#shares: Carpet
+
+
+
+
+private:
+
+BOOLEAN verbose "verbose info output"
+{
+} "no"
+
+
+CCTK_STRING out3D_dir "Name of 3D FlexIO output directory, overrides out_dir" STEERABLE = ALWAYS
+{
+ .* :: "A regex which matches everything"
+} "."
+
+CCTK_STRING out3D_vars "Variables to output in 3D FlexIO file format" STEERABLE = ALWAYS
+{
+ .* :: "A regex which matches everything"
+} ""
+
+KEYWORD out3D_format "File format to use for 3D FlexIO output" STEERABLE = ALWAYS
+{
+ "IEEE" :: "IEEE, readable by the FlexIO library"
+ "HDF4" :: "The old HDF format"
+ "HDF5" :: "The new HDF format"
+} "HDF5"
+
+CCTK_STRING out3D_extension "File extension to use for 3D FlexIO output" STEERABLE = ALWAYS
+{
+ .* :: "A regex which matches everything"
+} ""
+
+CCTK_INT out3D_every "How often to do 3D FlexIO output, overrides out_every" STEERABLE = ALWAYS
+{
+ -1:* :: "Values <= 0 disable 3D output"
+} -1
+
+
+
+CCTK_INT out3D_max_num_lower_ghosts "Maximum number of lower ghost zones that are output"
+{
+ -1 :: "output all ghost zones"
+ 0:* :: "output that many ghost zones"
+} -1
+
+CCTK_INT out3D_max_num_upper_ghosts "Maximum number of upper ghost zones that are output"
+{
+ -1 :: "output all ghost zones"
+ 0:* :: "output that many ghost zones"
+} -1
+
+BOOLEAN out3D_output_outer_boundary "Output all of the outer boundary ghost zones even if not all ghost zones are output"
+{
+} "yes"
+
+
+
+CCTK_STRING indir3D "Name of 3D FlexIO input directory" STEERABLE = ALWAYS
+{
+ .* :: "A regex which matches everything"
+} "."
+
+CCTK_STRING in3D_vars "Variables to input in 3D FlexIO file format" STEERABLE = ALWAYS
+{
+ .* :: "A regex which matches everything"
+} ""
+
+KEYWORD in3D_format "File format to use for 3D FlexIO input" STEERABLE = ALWAYS
+{
+ "IEEE" :: "IEEE, readable by the FlexIO library"
+ "HDF4" :: "The old HDF format"
+ "HDF5" :: "The new HDF format"
+} "HDF5"
+
+CCTK_STRING in3D_extension "File extension to use for 3D FlexIO input" STEERABLE = ALWAYS
+{
+ .* :: "A regex which matches everything"
+} ""
+
+BOOLEAN checkpoint "Do checkpointing with IOFlexIO" STEERABLE = ALWAYS
+{
+} "no"
+
+BOOLEAN checkpoint_next "Checkpoint at next iteration" STEERABLE = ALWAYS
+{
+} "no"
+
+shares: IO
+
+USES INT checkpoint_every
+USES INT checkpoint_keep
+USES BOOLEAN checkpoint_ID
+USES BOOLEAN recover_and_remove
+USES BOOLEAN checkpoint_on_terminate
+USES KEYWORD recover
+USES STRING recover_file
+USES STRING out_dir
+USES CCTK_INT out_every
+
+
diff --git a/CarpetAttic/CarpetIOFlexIOCheckpoint/schedule.ccl b/CarpetAttic/CarpetIOFlexIOCheckpoint/schedule.ccl
new file mode 100644
index 000000000..bfc9fd9b0
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIOCheckpoint/schedule.ccl
@@ -0,0 +1,27 @@
+# Schedule definitions for thorn CarpetIOFlexIO
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/CarpetIOFlexIOCheckpoint/schedule.ccl,v 1.3 2003/12/01 13:15:52 cott Exp $
+
+schedule CarpetIOFlexIO_Startup at STARTUP after IOUtil_Startup
+{
+ LANG: C
+} "Startup routine"
+
+schedule CarpetIOFlexIO_ReadData at INITIAL
+{
+ LANG: C
+ OPTIONS: global
+} "Read initial data from file"
+
+schedule CarpetIOFlexIO_EvolutionCheckpoint at CHECKPOINT
+{
+ LANG: C
+ OPTIONS: global
+} "Do checkpointing"
+
+if (! CCTK_Equals (recover, "no") && *recover_file)
+{
+ schedule CarpetIOFlexIO_RecoverParameters at RECOVER_PARAMETERS
+ {
+ LANG:C
+ } "Parameter recovery routine"
+}
diff --git a/CarpetAttic/CarpetIOFlexIOCheckpoint/src/checkpointrestart.cc b/CarpetAttic/CarpetIOFlexIOCheckpoint/src/checkpointrestart.cc
new file mode 100644
index 000000000..392c8619d
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIOCheckpoint/src/checkpointrestart.cc
@@ -0,0 +1,869 @@
+#include <assert.h>
+#include <limits.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <sys/stat.h>
+#include <sys/types.h>
+
+#include <algorithm>
+#include <fstream>
+#include <sstream>
+#include <vector>
+
+
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+#include "cctk_Version.h"
+
+#include "AMRwriter.hh"
+#include "AmrGridReader.hh"
+#ifdef HDF4
+# include "HDFIO.hh"
+#endif
+#ifdef HDF5
+# include "H5IO.hh"
+#endif
+#include "IEEEIO.hh"
+#include "IO.hh"
+
+// Hack to stop FlexIO type clash
+#undef BYTE
+#undef CHAR
+
+#include "bbox.hh"
+#include "data.hh"
+#include "gdata.hh"
+#include "ggf.hh"
+#include "vect.hh"
+
+
+#include "carpet.hh"
+
+#include "ioflexio.hh"
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/CarpetIOFlexIOCheckpoint/src/checkpointrestart.cc,v 1.22 2004/01/12 10:50:31 cott Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetIOFlexIO_checkpointrestart_cc);
+}
+
+
+namespace CarpetCheckpointRestart {
+
+ using namespace std;
+ using namespace Carpet;
+ using namespace CarpetIOFlexIO;
+ using namespace CarpetIOFlexIOUtil;
+
+ int Checkpoint (const cGH* const cgh, int called_from);
+
+ int RecoverParameters (IObase* reader);
+ static int RecoverGHextensions (cGH* cgh, IObase* reader);
+ int RecoverVariables (cGH* cgh, IObase* reader, AmrGridReader* amrreader);
+
+ void CarpetIOFlexIO_EvolutionCheckpoint( const cGH* const cgh){
+
+ DECLARE_CCTK_PARAMETERS
+
+ if (checkpoint &&
+ ((checkpoint_every > 0 && cgh->cctk_iteration % checkpoint_every == 0) ||
+ checkpoint_next))
+ {
+ if (verbose)
+ {
+ CCTK_INFO ("---------------------------------------------------------");
+ CCTK_VInfo (CCTK_THORNSTRING, "Dumping periodic checkpoint at "
+ "iteration %d", cgh->cctk_iteration);
+ CCTK_INFO ("---------------------------------------------------------");
+ }
+
+ Checkpoint (cgh, CP_EVOLUTION_DATA);
+
+ if (checkpoint_next)
+ {
+ CCTK_ParameterSet ("checkpoint_next", CCTK_THORNSTRING, "no");
+ }
+ }
+
+
+ }
+
+/*@@
+ @routine CarpetIOFlexIO_RecoverParameters
+ @date Fri Oct 10 2003
+ @author Christian Ott, Thomas Radke
+ @desc
+ @desc
+ Recovers the parameters from an HDF5 checkpoint file.
+ This routine is scheduled at CCTK_RECOVER_PARAMETERS.
+
+ Note that it cannot be registered with IOUtil to be scheduled
+ from there (as done with the CarpetIOFlexIO_Recover routine) because
+ the registration mechanism isn't activated yet
+ at CCTK_RECOVER_PARAMETERS.
+ Instead we call the generic parameter recovery routine
+ from IOUtil here, and just pass the necessary callback function
+ and its arguments.
+
+ Note also that this routine doesn't get passed any parameters,
+ not even a GH, because this doesn't exist yet at the time it is
+ being called.
+ @enddesc
+
+ @calls IOUtil_RecoverParameters
+
+ @returntype int
+ @returndesc
+ return code of @seeroutine IOUtil_RecoverParameters, ie.
+ positive for successful parameter recovery, or<BR>
+ 0 if recovery wasn't requested, or<BR>
+ negative if parameter recovery failed
+ @endreturndesc
+@@*/
+
+
+ int CarpetIOFlexIO_RecoverParameters(void){
+ return (IOUtil_RecoverParameters (CarpetIOFlexIO_Recover, ".hdf5", "HDF5"));
+ }
+
+/*@@
+ @routine CarpetIOFlexIO_Recover
+ @date Fri Oct 10 2003
+ @author Christian Ott (Tom Goodale IOFlexIO version)
+ @desc
+ Recovers a Carpet GH from an HDF5 file.
+ This routine is registered with IOUtil as CarpetIOFlexIO's recovery
+ routine.
+ @enddesc
+
+ @calls OpenFile
+ RecoverParameters
+ RecoverGHextensions
+ CarpetIOFlexIOi_RecoverVariables
+ IOUtil_PrintTimings
+
+ @var GH
+ @vdesc Pointer to CCTK grid hierarchy
+ @vtype cGH *
+ @vio in
+ @endvar
+ @var basefilename
+ @vdesc the basefilename of the file to recover from
+ The file suffix is appended by the routine.
+ @vtype const char *
+ @vio in
+ @endvar
+ @var called_from
+ @vdesc flag indicating where this routine was called from
+ (either CP_RECOVER_DATA or FILEREADER_DATA)
+ @vtype int
+ @vio in
+ @endvar
+
+ @returntype int
+ @returndesc
+ >0 = success
+ -1 = recovery failed
+ @endreturndesc
+@@*/
+
+
+int CarpetIOFlexIO_Recover (cGH* cgh, const char *basefilename, int called_from)
+{
+ int result,myproc;
+ CarpetIOFlexIOGH *myGH;
+ char filename[1024];
+
+ static IObase* reader = NULL;
+
+ DECLARE_CCTK_PARAMETERS
+
+ /* to make the compiler happy */
+ myGH = NULL;
+ result = 0;
+
+ myproc = CCTK_MyProc (cgh);
+
+ fprintf(stderr,"\n reflevel: %d\n",reflevel);
+
+
+ if (called_from == CP_RECOVER_PARAMETERS)
+ {
+ CCTK_VInfo (CCTK_THORNSTRING, "got this far... '%s'", basefilename);
+ if (myproc == 0){
+ reader = new H5IO(basefilename,IObase::Read);
+ CCTK_VInfo (CCTK_THORNSTRING, "blah '%s'", basefilename);
+ if ( ! reader->isValid() )
+ {
+ CCTK_VInfo(CCTK_THORNSTRING,"file is not open");
+ return (-1);
+ }
+ CCTK_VInfo(CCTK_THORNSTRING,"file is open");
+ }
+ }
+ else
+ {
+ /* This is the case for CP_RECOVER_DATA.
+ CCTK_RECOVER_PARAMETERS must have been called before
+ and set up the file info structure. */
+ if (myproc == 0){
+ if (! reader->isValid() )
+ {
+ CCTK_VInfo(CCTK_THORNSTRING,"file is not open2");
+ return (-1);
+ }
+ }
+ }
+
+ /* Recover parameters */
+
+ if (called_from == CP_RECOVER_PARAMETERS)
+ {
+ return (RecoverParameters (reader));
+ }
+
+
+ if (called_from == CP_RECOVER_DATA) {
+
+ AmrGridReader* amrreader = 0;
+
+ if(myproc==0)
+ amrreader = new AmrGridReader(*reader);
+
+
+ CCTK_INT4 numberoftimes;
+ IObase::DataType datatype;
+ int i,dim;
+ if (myproc == 0) {
+
+ /* we need all the times on the individual levels */
+ i = reader->readAttributeInfo ("numberoftimes", datatype, dim);
+ if(i >=0 && datatype == FLEXIO_INT && dim == 1) {
+ char buffer[100];
+ reader->readAttribute (i, &numberoftimes);
+ assert(numberoftimes==refleveltimes.size());
+ for(int lcv=0;lcv<numberoftimes;lcv++) {
+ sprintf(buffer,"refleveltime%d",lcv);
+ i = reader->readAttributeInfo (buffer, datatype, dim);
+ if(i >=0 && datatype == FLEXIO_REAL && dim == 1) {
+ reader->readAttribute (i, &refleveltimes[lcv]);
+ }
+ else {
+ CCTK_WARN(0,"BAD BAD BAD! Can't read refleveltime!!");
+ }
+ }
+ }
+ else
+ {
+ CCTK_WARN (0, "Unable to restore reflevel times!");
+ }
+ }
+
+ CACTUS_MPI_ERROR (MPI_Bcast (&numberoftimes, 1, CARPET_MPI_INT4, 0,MPI_COMM_WORLD));
+ CACTUS_MPI_ERROR (MPI_Bcast (&refleveltimes[0], numberoftimes, CARPET_MPI_REAL, 0, MPI_COMM_WORLD));
+
+
+
+
+ BEGIN_REFLEVEL_LOOP(cgh) {
+ BEGIN_MGLEVEL_LOOP(cgh) {
+
+
+ /* make sure we are looking at the first dataset where
+ all the good stuff ist stored! */
+ if(myproc==0)
+ reader->seek(0);
+
+ /* Recover GH extentions */
+ CCTK_INFO ("Recovering GH extensions");
+ result += RecoverGHextensions (cgh, reader);
+
+ // cout << refleveltimes[reflevel]<<endl;
+ tt->set_time(reflevel,mglevel,(CCTK_REAL) cgh->cctk_iteration/maxreflevelfact);
+ cout << "tt " << tt->time(0,reflevel,mglevel) << endl;
+
+ } END_MGLEVEL_LOOP;
+ } END_REFLEVEL_LOOP;
+
+ if (! result)
+ {
+ /* Recover variables */
+ CCTK_VInfo (CCTK_THORNSTRING, "Recovering data! ");
+ result = RecoverVariables (cgh, reader,amrreader);
+ }
+ if(myproc==0) {
+ delete reader;
+ delete amrreader;
+ }
+
+
+ }
+
+
+
+ if (called_from == CP_RECOVER_DATA)
+ {
+ CCTK_VInfo (CCTK_THORNSTRING,
+ "Restarting simulation at iteration %d (physical time %g)",
+ cgh->cctk_iteration, (double) cgh->cctk_time);
+ }
+
+ // CCTK_WARN (-1,"STOPSTOPSTOP2");
+
+ return (result);
+}
+
+
+/********************************************************************
+ ******************** Internal Routines ************************
+ ********************************************************************/
+
+ int RecoverParameters(IObase* reader){
+
+ int myproc, retval;
+ int i, asize;
+ char *parameters;
+ CCTK_INT4 parameterSize;
+
+ IObase::DataType datatype;
+ CCTK_REAL bogusdata;
+
+ int dims[3];
+ int rank=0;
+ int maxdims=3;
+
+ DECLARE_CCTK_PARAMETERS
+
+ myproc = CCTK_MyProc (NULL);
+
+ if (myproc == 0){
+ CCTK_VInfo (CCTK_THORNSTRING, "Recovering parameters from checkpoint ");
+
+ /* read the first (bogus) dataset to which the parameters an GHExtensions
+ are attached */
+
+ reader->readInfo(datatype,rank,dims,maxdims);
+ CCTK_VInfo (CCTK_THORNSTRING, "blahbalh: datatype %d FLEXIO_REAL: %d",datatype,FLEXIO_REAL);
+
+ if(datatype != FLEXIO_REAL || rank !=1 )
+ CCTK_WARN (-1,"Wrong recover file format! First dataset type mismatch!");
+
+ reader->read(&bogusdata);
+
+ /* get the parameters attribute. */
+ i = reader->readAttributeInfo ("global_parameters", datatype, asize);
+ if (i >= 0 && datatype == FLEXIO_CHAR && asize > 0)
+ {
+ parameterSize = (CCTK_INT4) asize;
+ parameters = (char*) malloc (parameterSize + 1);
+ reader->readAttribute (i, parameters);
+ }
+ else
+ {
+ CCTK_WARN (1, "Can't read global parameters. "
+ "Is this really a Cactus IEEEIO checkpoint file ?");
+ }
+ CCTK_VInfo (CCTK_THORNSTRING, "\n%s\n",parameters);
+ }
+
+#ifdef CCTK_MPI
+ /* Broadcast the parameter buffer size to all processors */
+ /* NOTE: We have to use MPI_COMM_WORLD here
+ because CARPET_COMM_WORLD is not yet set up at parameter recovery time.
+ We also assume that CARPET_MPI_INT4 is a compile-time defined datatype. */
+ CACTUS_MPI_ERROR (MPI_Bcast (&parameterSize, 1, CARPET_MPI_INT4, 0,
+ MPI_COMM_WORLD));
+#endif
+
+ if (parameterSize > 0)
+ {
+#ifdef CCTK_MPI
+ if (myproc)
+ {
+ parameters = (char*) malloc (parameterSize + 1);
+ }
+
+ CACTUS_MPI_ERROR (MPI_Bcast (parameters, parameterSize + 1, CARPET_MPI_CHAR,
+ 0, MPI_COMM_WORLD));
+#endif
+
+ IOUtil_SetAllParameters (parameters);
+
+ free (parameters);
+ }
+
+ /* return positive value for success otherwise negative */
+ retval = (parameterSize > 0 ? 1 : -1);
+
+ return (retval);
+
+
+ // CCTK_WARN (-1,"STOPSTOPSTOP");
+
+
+ }
+
+
+ static int RecoverGHextensions (cGH *GH, IObase* reader)
+ {
+ int i, type,dim;
+ CCTK_REAL realBuffer;
+ CCTK_INT4 int4Buffer[2];
+ CCTK_INT4 intbuffer,numberoftimes;
+
+ IObase::DataType datatype;
+
+ if (CCTK_MyProc (GH) == 0)
+ {
+
+ /* get the iteration number */
+ i = reader->readAttributeInfo ("GH$iteration", datatype, dim);
+
+
+ if (i >= 0 && datatype == FLEXIO_INT4 && dim == 1)
+ {
+ reader->readAttribute (i, &int4Buffer[0]);
+ }
+ else
+ {
+ CCTK_WARN (1, "Unable to restore GH->cctk_iteration, defaulting to 0");
+ int4Buffer[0] = 0;
+ }
+
+ /* get the main loop index */
+ i = reader->readAttributeInfo ( "main loop index", datatype, dim);
+ if (i >= 0 && datatype == FLEXIO_INT4 && dim == 1)
+ {
+ reader->readAttribute (i, &int4Buffer[1]);
+ }
+ else
+ {
+ CCTK_WARN (1, "Unable to restore main loop index, defaulting to 0");
+ int4Buffer[1] = 0;
+ }
+
+ /* get cctk_time */
+ i = reader->readAttributeInfo ("GH$time", datatype, dim);
+ if (i >= 0 && datatype == FLEXIO_REAL && dim == 1)
+ {
+ reader->readAttribute (i, &realBuffer);
+ }
+ else
+ {
+ CCTK_WARN (1, "Unable to restore GH->cctk_time, defaulting to 0.0");
+ realBuffer = 0.0;
+ }
+ }
+
+#ifdef CCTK_MPI
+ /* Broadcast the GH extensions to all processors */
+ /* NOTE: We have to use MPI_COMM_WORLD here
+ because PUGH_COMM_WORLD is not yet set up at parameter recovery time.
+ We also assume that PUGH_MPI_INT4 is a compile-time defined datatype. */
+
+ CACTUS_MPI_ERROR (MPI_Bcast (int4Buffer, 2, CARPET_MPI_INT4, 0,MPI_COMM_WORLD));
+ CACTUS_MPI_ERROR (MPI_Bcast (int4Buffer, 2, CARPET_MPI_INT4, 0,MPI_COMM_WORLD));
+ CACTUS_MPI_ERROR (MPI_Bcast (&realBuffer, 1, CARPET_MPI_REAL,0,MPI_COMM_WORLD));
+#endif
+
+ GH->cctk_time = refleveltimes[reflevel];
+
+
+ GH->cctk_iteration = (int) int4Buffer[0];
+ CCTK_SetMainLoopIndex ((int) int4Buffer[1]);
+
+
+ return (0);
+ }
+
+
+
+
+ int DumpParams (const cGH* const cgh, int all, IObase* writer){
+
+ char *parameters;
+
+ parameters = IOUtil_GetAllParameters(cgh,all);
+
+ if(parameters)
+ {
+ WriteAttribute(writer,"global_parameters",parameters);
+ free(parameters);
+ }
+
+ return 0;
+ }
+
+
+ int DumpGHExtensions (const cGH* const cgh, IObase* writer){
+
+ CCTK_INT4 itmp;
+ CCTK_REAL dtmp;
+ const char *version;
+ ioGH *ioUtilGH;
+
+
+ /* get the handle for IOUtil extensions */
+ ioUtilGH = (ioGH *) CCTK_GHExtension (cgh, "IO");
+
+ itmp = CCTK_MainLoopIndex ();
+ WriteAttribute(writer,"main loop index",itmp);
+
+ itmp = cgh->cctk_iteration;
+ WriteAttribute(writer,"GH$iteration",itmp);
+
+ itmp = ioUtilGH->ioproc_every;
+ WriteAttribute(writer,"GH$ioproc_every",itmp);
+
+ itmp = CCTK_nProcs (cgh);
+ WriteAttribute(writer,"GH$nprocs",itmp);
+
+ dtmp = cgh->cctk_time;
+ WriteAttribute(writer,"GH$time", dtmp);
+
+ version = CCTK_FullVersion ();
+ WriteAttribute(writer,"Cactus version", version);
+
+ return 0;
+ }
+
+
+ int Checkpoint (const cGH* const cgh, int called_from)
+ {
+ char cp_filename[1024], cp_tempname[1024];
+ int myproc, first_vindex, gindex;
+ char *fullname;
+ const char *timer_descriptions[3] = {"Time to dump parameters: ",
+ "Time to dump datasets: ",
+ "Total time to checkpoint:"};
+ const ioGH *ioUtilGH;
+
+
+ // const int varindex = CCTK_VarIndex("ADMBASE:gxx");
+ int varindex = 0;
+ int group = 0;
+ int retval = 0;
+
+ cGroup gdata;
+ IObase* writer = 0;
+ AMRwriter* amrwriter = 0;
+ ioRequest *request;
+
+ DECLARE_CCTK_PARAMETERS
+
+ CarpetIOFlexIOGH *myGH;
+ myGH = (CarpetIOFlexIOGH *) CCTK_GHExtension (cgh, "CarpetIOFlexIO");
+
+ /* check if CarpetIOFlexIO was registered as I/O method */
+ if (myGH == NULL)
+ {
+ CCTK_WARN (-1, "No CarpetIOFlexIO I/O methods registered");
+ return (-1);
+ }
+
+
+ myproc = CCTK_MyProc (cgh);
+ ioUtilGH = (const ioGH *) CCTK_GHExtension (cgh, "IO");
+ IOUtil_PrepareFilename (cgh, NULL, cp_filename, called_from,
+ myproc / ioUtilGH->ioproc_every, ioUtilGH->unchunked);
+
+ // Invent a file name
+ const char* extension = 0;
+ if (CCTK_Equals(out3D_format, "IEEE")) {
+ extension = ".raw";
+#ifdef HDF4
+ } else if (CCTK_Equals(out3D_format, "HDF4")) {
+ extension = ".hdf";
+#endif
+#ifdef HDF5
+ } else if (CCTK_Equals(out3D_format, "HDF5")) {
+ extension = ".h5";
+#endif
+ } else {
+ assert (0);
+ }
+
+ sprintf(cp_tempname,"%s.tmp%s",cp_filename,extension);
+
+
+ sprintf(cp_filename,"%s%s",cp_filename,extension);
+
+
+ if (CCTK_MyProc(cgh)==0)
+ {
+ fprintf(stderr,"\n verbose: %d\n",verbose);
+ if (verbose)
+ {
+ CCTK_VInfo (CCTK_THORNSTRING, "Creating temporary checkpoint file '%s'", cp_tempname);
+ }
+
+ // writer = new IEEEIO(cp_tempname, IObase::Create);
+
+ if (CCTK_Equals(out3D_format, "IEEE")) {
+ writer = new IEEEIO(cp_tempname, IObase::Create);
+#ifdef HDF4
+ } else if (CCTK_Equals(out3D_format, "HDF4")) {
+ writer = new HDFIO(cp_tempname, IObase::Create);
+#endif
+#ifdef HDF5
+ } else if (CCTK_Equals(out3D_format, "HDF5")) {
+ writer = new H5IO(cp_tempname, IObase::Create);
+#endif
+ } else {
+ assert (0);
+ }
+
+ if (! (writer->isValid()) )
+ {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Can't open checkpoint file '%s'. Checkpointing is skipped",
+ cp_tempname);
+ return (-1);
+ }
+
+ amrwriter = new AMRwriter(*writer);
+
+ /* now we are writing a first (bogus) dataset to which
+ we will attach all parameters and GHextensions as Attributes
+ */
+
+
+ CCTK_REAL startdata = 666.66;
+ int rank=1;
+ int dim[1]={1};
+ writer->write(FLEXIO_REAL,rank,dim,&startdata);
+
+ /* now dump parameters */
+ if (verbose)
+ {
+ CCTK_VInfo (CCTK_THORNSTRING, "Dumping Parameters'");
+ }
+ DumpParams (cgh, 1, writer);
+
+
+ /* and now dump GH extentions */
+ if (verbose)
+ {
+ CCTK_VInfo (CCTK_THORNSTRING, "Dumping GHExtensions");
+ }
+
+ DumpGHExtensions(cgh,writer);
+
+ /* finally, we need all the times on the individual levels */
+ const int numberoftimes=refleveltimes.size();
+ writer->writeAttribute("numberoftimes",FlexIODataType(CCTK_VARIABLE_INT),1,&numberoftimes);
+ for(int i=0;i < numberoftimes;i++) {
+ char buffer[100];
+ sprintf(buffer,"refleveltime%d",i);
+ writer->writeAttribute(buffer,FlexIODataType(CCTK_VARIABLE_REAL),1,&refleveltimes[i]);
+ }
+ }
+
+ // now dump the grid varibles for all reflevels and components, sorted by groups
+ BEGIN_REFLEVEL_LOOP(cgh) {
+
+ BEGIN_MGLEVEL_LOOP(cgh) {
+
+ if (verbose)
+ {
+ CCTK_INFO ("Dumping Grid Variables ...");
+ }
+ for (group = CCTK_NumGroups () - 1; group >= 0; group--)
+ {
+ /* only dump groups which have storage assigned */
+
+ if (CCTK_QueryGroupStorageI (cgh, group) <= 0)
+ {
+ continue;
+ }
+
+ const int grouptype = CCTK_GroupTypeI(group);
+
+ /* scalars and grid arrays only have 1 reflevel: */
+ if ( (grouptype != CCTK_GF) && (reflevel != 0) )
+ continue;
+
+ /* now check if there is any memory allocated
+ for GFs and GAs. GSs should always have
+ memory allocated and there is at this point
+ no CCTK function to check this :/
+ */
+
+ if ( (grouptype == CCTK_GF) || (grouptype == CCTK_ARRAY)){
+ const int gpdim = CCTK_GroupDimI(group);
+ int gtotalsize=1;
+ for(int d=0;d<gpdim;d++){
+ const int* gpsize= CCTK_ArrayGroupSizeI(cgh,d,group);
+ assert(gpsize != NULL);
+ gtotalsize*=gpsize[d];
+ }
+ if(gtotalsize == 0){
+ if (verbose) CCTK_VInfo(CCTK_THORNSTRING, "Group %s is zero-sized. No checkpoint info written",CCTK_GroupName(group));
+ continue;
+ }
+ }
+
+
+ /* get the number of allocated timelevels */
+ CCTK_GroupData (gindex, &gdata);
+ gdata.numtimelevels = 0;
+ gdata.numtimelevels = CCTK_GroupStorageIncrease (cgh, 1, &group,
+ &gdata.numtimelevels,NULL);
+
+
+ CCTK_GroupData (group, &gdata);
+
+ /* dump all timelevels except the oldest (for multi-level groups) */
+ /* COMMENTED OUT!! We _need_ all timelevels!!!
+ if (gdata.numtimelevels > 1)
+ {
+ gdata.numtimelevels--;
+ }
+
+ */
+
+ int first_vindex = CCTK_FirstVarIndexI (group);
+
+
+
+ /* get the default I/O request for this group */
+ request = IOUtil_DefaultIORequest (cgh, first_vindex, 1);
+
+ /* disable checking for old data objects, disable datatype conversion
+ and downsampling */
+ request->check_exist = 0;
+ request->hdatatype = gdata.vartype;
+ for (request->hdim = 0; request->hdim < request->vdim; request->hdim++)
+ {
+ request->downsample[request->hdim] = 1;
+ }
+
+ /* loop over all variables in this group */
+ for (request->vindex = first_vindex;
+ request->vindex < first_vindex + gdata.numvars;
+ request->vindex++)
+ {
+ /* loop over all timelevels of this variable */
+ for (request->timelevel = 0;
+ request->timelevel < gdata.numtimelevels;
+ request->timelevel++)
+ {
+
+ if (verbose)
+ {
+ fullname = CCTK_FullName (request->vindex);
+ CCTK_VInfo (CCTK_THORNSTRING, " %s (timelevel %d)",
+ fullname, request->timelevel);
+ free (fullname);
+ }
+ // write the var
+
+
+ if (grouptype == CCTK_ARRAY || grouptype == CCTK_GF || grouptype == CCTK_SCALAR)
+ {
+ char* fullname = CCTK_FullName (request->vindex);
+ if (verbose)
+ CCTK_VInfo (CCTK_THORNSTRING,"%s:: reflevel: %d component: %d grouptype: %d ",fullname,reflevel,component,grouptype);
+ free(fullname);
+ retval += WriteGF(cgh,writer,amrwriter,request,1);
+ }
+ else
+ {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Invalid group type %d for variable '%s'", grouptype, fullname);
+ retval = -1;
+ }
+
+ }
+ } /* end of loop over all variables */
+
+ } /* end of loop over all groups */
+
+ } END_MGLEVEL_LOOP;
+
+ } END_REFLEVEL_LOOP;
+
+
+ // Close the temporary file
+ if (CCTK_MyProc(cgh)==0) {
+ delete amrwriter;
+ amrwriter = 0;
+ delete writer;
+ writer = 0;
+ }
+
+ CCTK_VInfo(CCTK_THORNSTRING,"retval: %d",retval);
+
+ if (retval == 0)
+ {
+ if (CCTK_MyProc(cgh)==0) {
+ if (rename (cp_tempname, cp_filename))
+ {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Could not rename temporary checkpoint file '%s' to '%s'",
+ cp_tempname, cp_filename);
+ retval = -1;
+ }
+ else {
+ if (myGH->cp_filename_list[myGH->cp_filename_index])
+ {
+ if (checkpoint_keep > 0)
+ {
+ remove (myGH->cp_filename_list[myGH->cp_filename_index]);
+ }
+ free (myGH->cp_filename_list[myGH->cp_filename_index]);
+ }
+ myGH->cp_filename_list[myGH->cp_filename_index] = strdup (cp_filename);
+ myGH->cp_filename_index = (myGH->cp_filename_index+1) % abs (checkpoint_keep);
+ }
+ }
+ }
+
+ return 0;
+ }
+
+ int RecoverVariables (cGH* cgh, IObase* reader, AmrGridReader* amrreader){
+
+ int retval = 0;
+ int myproc = CCTK_MyProc (cgh);
+ int currdataset,ndatasets;
+
+ CCTK_VInfo(CCTK_THORNSTRING,"Starting to recover data!!!");
+
+
+ if(myproc==0) {
+ ndatasets = reader->nDatasets();
+ //CCTK_VInfo (CCTK_THORNSTRING, "ndatasets=%d", ndatasets);
+ assert (ndatasets>=0);
+ }
+
+ // Broadcast number of datasets
+ MPI_Bcast (&ndatasets, 1, MPI_INT, 0, dist::comm);
+ assert (ndatasets>=0);
+
+
+ for (currdataset=1;currdataset < ndatasets;currdataset++) {
+ if(myproc==0) {
+ reader->seek(currdataset);
+ }
+
+ ReadGF(cgh,reader,amrreader,currdataset);
+ }
+
+ return retval;
+ }
+
+
+} // namespace CarpetCheckpointRestart
+
+
+
+
+
+
+
+
+
+
+
diff --git a/CarpetAttic/CarpetIOFlexIOCheckpoint/src/ioflexio.cc b/CarpetAttic/CarpetIOFlexIOCheckpoint/src/ioflexio.cc
new file mode 100644
index 000000000..1fba5c365
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIOCheckpoint/src/ioflexio.cc
@@ -0,0 +1,1134 @@
+#include <assert.h>
+#include <limits.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <sys/stat.h>
+#include <sys/types.h>
+
+#include <algorithm>
+#include <fstream>
+#include <sstream>
+#include <vector>
+
+
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "AMRwriter.hh"
+#include "AmrGridReader.hh"
+#ifdef HDF4
+# include "HDFIO.hh"
+#endif
+#ifdef HDF5
+# include "H5IO.hh"
+#endif
+#include "IEEEIO.hh"
+#include "IO.hh"
+
+// Hack to stop FlexIO data type clash with LAM MPI
+#undef BYTE
+#undef CHAR
+
+#include "CactusBase/IOUtil/src/ioGH.h"
+
+#include "bbox.hh"
+#include "data.hh"
+#include "gdata.hh"
+#include "ggf.hh"
+#include "vect.hh"
+
+#include "carpet.hh"
+
+#include "ioflexio.hh"
+
+
+extern "C" {
+ static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/CarpetIOFlexIOCheckpoint/src/ioflexio.cc,v 1.20 2004/01/13 15:46:52 cott Exp $";
+ CCTK_FILEVERSION(Carpet_CarpetIOFlexIO_ioflexio_cc);
+}
+
+
+
+namespace CarpetIOFlexIO {
+
+ using namespace std;
+ using namespace Carpet;
+ using namespace CarpetIOFlexIOUtil;
+ using namespace CarpetCheckpointRestart;
+
+ // Variable definitions
+ // int GHExtension;
+ int IOMethod;
+ vector<bool> do_truncate;
+ vector<vector<int> > last_output;
+
+
+
+ static const char* GetStringParameter (const char* const parametername,
+ const char* const fallback);
+ static int GetIntParameter (const char* const parametername, int fallback);
+ static bool CheckForVariable (const cGH* const cgh,
+ const char* const varlist, const int vindex);
+ static void SetFlag (int index, const char* optstring, void* arg);
+
+
+
+ int CarpetIOFlexIO_Startup ()
+ {
+ CCTK_RegisterBanner ("AMR 3D FlexIO I/O provided by CarpetIOFlexIO");
+
+ // GHExtension = CCTK_RegisterGHExtension("CarpetIOFlexIO");
+ CCTK_RegisterGHExtensionSetupGH (CCTK_RegisterGHExtension("CarpetIOFlexIO"),SetupGH);
+
+ IOMethod = CCTK_RegisterIOMethod ("CarpetIOFlexIO");
+ CCTK_RegisterIOMethodOutputGH (IOMethod, OutputGH);
+ CCTK_RegisterIOMethodOutputVarAs (IOMethod, OutputVarAs);
+ CCTK_RegisterIOMethodTimeToOutput (IOMethod, TimeToOutput);
+ CCTK_RegisterIOMethodTriggerOutput (IOMethod, TriggerOutput);
+
+ /* register the CarpetIOFlexIO recovery routine to thorn IOUtil */
+ if (IOUtil_RegisterRecover ("CarpetIOFlexIO recovery", CarpetIOFlexIO_Recover) < 0)
+ {
+ CCTK_WARN (1, "Failed to register IOFlexIO recovery routine");
+ }
+
+
+ return 0;
+ }
+
+
+
+ void* SetupGH (tFleshConfig* const fc, const int convLevel, cGH* const cgh)
+ {
+ DECLARE_CCTK_PARAMETERS;
+ CarpetIOFlexIOGH* myGH;
+ CCTK_INT i;
+
+ // Truncate all files if this is not a restart
+ do_truncate.resize(CCTK_NumVars(), true);
+
+ // No iterations have yet been output
+ last_output.resize(maxreflevels);
+ for (int rl=0; rl<maxreflevels; ++rl) {
+ last_output[rl].resize(CCTK_NumVars(), INT_MIN);
+ }
+
+ // We register only once, ergo we get only one handle. We store
+ // that statically, so there is no need to pass anything to
+ // Cactus.
+
+ /* allocate a new GH extension structure */
+
+
+ CCTK_INT numvars = CCTK_NumVars ();
+ myGH = (CarpetIOFlexIOGH*) malloc (sizeof (CarpetIOFlexIOGH));
+ myGH->out_last = (int *) malloc (numvars * sizeof (int));
+ myGH->requests = (ioRequest **) calloc (numvars, sizeof (ioRequest *));
+ myGH->cp_filename_list = (char **) calloc (abs (checkpoint_keep), sizeof (char *));
+ myGH->cp_filename_index = 0;
+ myGH->out_vars = strdup ("");
+ myGH->out_every_default = out_every - 1;
+
+ for (i = 0; i < numvars; i++)
+ {
+ myGH->out_last [i] = -1;
+ }
+
+ myGH->open_output_files = NULL;
+
+
+ return (myGH);
+
+ return 0;
+ }
+
+
+ int OutputGH (const cGH* const cgh) {
+ for (int vindex=0; vindex<CCTK_NumVars(); ++vindex) {
+ if (TimeToOutput(cgh, vindex)) {
+ TriggerOutput(cgh, vindex);
+ }
+ }
+ return 0;
+ }
+
+
+
+ int WriteGF (const cGH* const cgh, IObase* writer, AMRwriter* amrwriter, ioRequest* request, const int called_from_checkpoint)
+ {
+
+ DECLARE_CCTK_PARAMETERS;
+
+ const int varindex = request->vindex;
+
+ const int group = CCTK_GroupIndexFromVarI (varindex);
+ const int n0 = CCTK_FirstVarIndexI(group);
+ assert (n0>=0 && n0<CCTK_NumVars());
+ const int var = varindex - n0;
+ assert (var>=0 && var<CCTK_NumVars());
+ int tl = 0;
+ const int grouptype = CCTK_GroupTypeI(group);
+
+ // let's get the correct Carpet time level (which is the (-1) * Cactus timelevel):
+ if (request->timelevel==0)
+ tl = 0;
+ else
+ tl = - request->timelevel;
+
+ assert (! ( (grouptype != CCTK_GF) && reflevel>0));
+
+ if (CCTK_MyProc(cgh)==0) {
+
+ amrwriter->setType (FlexIODataType(CCTK_VarTypeI(varindex)));
+
+ int gpdim = CCTK_GroupDimI(group);
+
+ // need gpdim=1 if scalar (flexio wants this)
+ if(gpdim == 0)
+ if(grouptype == CCTK_SCALAR)
+ gpdim = 1;
+ else
+ CCTK_WARN(0,"Non-scalar variable with dimension 0!!!");
+
+
+ // Set coordinate information
+ CCTK_REAL lower[dim], upper[dim];
+ double origin[dim], delta[dim], timestep;
+ for (int d=0; d<dim; ++d) {
+ const int ierr = CCTK_CoordRange
+ (cgh, &lower[d], &upper[d], d+1, 0, "cart3d");
+ assert (ierr==0);
+ origin[d] = lower[d];
+ delta[d] = cgh->cctk_delta_space[d];
+ }
+ timestep = cgh->cctk_delta_time;
+ amrwriter->setTopLevelParameters
+ (gpdim, origin, delta, timestep, maxreflevels);
+
+ // Set refinement information
+ int interlevel_timerefinement;
+ int interlevel_spacerefinement[dim];
+ int initial_gridplacementrefinement[dim];
+ interlevel_timerefinement = hh->reffact;
+ for (int d=0; d<dim; ++d) {
+ interlevel_spacerefinement[d] = hh->reffact;
+ initial_gridplacementrefinement[d] = 1;
+ }
+ amrwriter->setRefinement
+ (interlevel_timerefinement, interlevel_spacerefinement,
+ initial_gridplacementrefinement);
+
+ // Set level
+ amrwriter->setLevel (reflevel);
+
+ // Set current time
+ amrwriter->setTime (cgh->cctk_iteration);
+ }
+
+
+
+ // Traverse all components on this refinement and multigrid level
+ BEGIN_COMPONENT_LOOP(cgh, grouptype) {
+
+ const ggf<dim>* ff = 0;
+
+ assert (var < (int)arrdata[group].data.size());
+ ff = (ggf<dim>*)arrdata[group].data[var];
+
+ const gdata<dim>* const data = (*ff) (tl, reflevel, component, mglevel);
+
+ // get some more group information
+ cGroupDynamicData gdyndata;
+
+ int ierr = CCTK_GroupDynamicData(cgh,group,&gdyndata);
+ assert(ierr==0);
+
+ cGroup cgdata;
+ ierr = CCTK_GroupData(group,&cgdata);
+ assert(ierr==0);
+
+ /* handle CCTK_DISTRIB_CONSTANT scalar and arrays */
+#if 0
+ if (cgdata.disttype == CCTK_DISTRIB_CONSTANT) {
+ assert(grouptype == CCTK_ARRAY || grouptype == CCTK_SCALAR);
+ if (hh->processors[reflevel][component] == 0) {
+ if (grouptype == CCTK_SCALAR) {
+ CCTK_VInfo (CCTK_THORNSTRING, "dumping SCALAR distrib const");
+ int rank=1;
+ int dim[1]={1};
+ writer -> write(FlexIODataType(CCTK_VarTypeI(varindex)),rank,dim,CCTK_VarDataPtrI(cgh,tl,varindex));
+ DumpCommonAttributes(cgh,writer,request);
+ continue;
+ }
+ else {
+ writer -> write(FlexIODataType(CCTK_VarTypeI(varindex)),cgdata.dim,gdyndata.lsh,CCTK_VarDataPtrI(cgh,tl,varindex));
+ DumpCommonAttributes(cgh,writer,request);
+ continue;
+ }
+ }
+ else {
+ continue;
+ }
+
+ }
+#endif
+
+ // Make temporary copy on processor 0
+ bbox<int,dim> ext = data->extent();
+ vect<int,dim> lo = ext.lower();
+ vect<int,dim> hi = ext.upper();
+ vect<int,dim> str = ext.stride();
+
+ // Ignore ghost zones if desired
+
+ const int out3D_output_outer_boundary_var = (called_from_checkpoint) ? -1 : out3D_output_outer_boundary;
+ const int out3D_max_num_lower_ghosts_var = (called_from_checkpoint) ? -1 : out3D_max_num_lower_ghosts;
+ const int out3D_max_num_upper_ghosts_var = (called_from_checkpoint) ? -1 : out3D_max_num_upper_ghosts;
+
+
+ for (int d=0; d<dim; ++d) {
+ const int max_lower_ghosts = (gdyndata.bbox[2*d ] && out3D_output_outer_boundary_var) ? -1 : out3D_max_num_lower_ghosts_var;
+ const int max_upper_ghosts = (gdyndata.bbox[2*d+1] && out3D_output_outer_boundary_var) ? -1 : out3D_max_num_upper_ghosts_var;
+
+ const int num_lower_ghosts = max_lower_ghosts == -1 ? gdyndata.nghostzones[d] : min(out3D_max_num_lower_ghosts_var, gdyndata.nghostzones[d]);
+ const int num_upper_ghosts = max_upper_ghosts == -1 ? gdyndata.nghostzones[d] : min(out3D_max_num_upper_ghosts_var, gdyndata.nghostzones[d]);
+
+ lo[d] += (gdyndata.nghostzones[d] - num_lower_ghosts) * str[d];
+ hi[d] -= (gdyndata.nghostzones[d] - num_upper_ghosts) * str[d];
+ }
+
+ ext = bbox<int,dim>(lo,hi,str);
+
+ gdata<dim>* const tmp = data->make_typed (varindex);
+ tmp->allocate (ext, 0);
+ //fprintf(stderr,"\n writing1 %d\n",CCTK_MyProc(cgh));
+ if ( !((cgdata.disttype == CCTK_DISTRIB_CONSTANT) && (hh->processors[reflevel][component]!=0))) {
+
+ if (cgdata.disttype == CCTK_DISTRIB_CONSTANT) {
+ assert(grouptype == CCTK_ARRAY || grouptype == CCTK_SCALAR);
+ //fprintf(stderr,"\n scalar %d %d comp: %d\n",CCTK_MyProc(cgh),varindex,component);
+ int origin[dim], dims[dim];
+ for (int d=0; d<dim; ++d) {
+ origin[d] = (ext.lower() / ext.stride())[d];
+ dims[d] = (ext.shape() / ext.stride())[d];
+ }
+ if (CCTK_MyProc(cgh)==0) {
+ amrwriter->write (origin, dims, (void*)data->storage());
+ DumpCommonAttributes(cgh,writer,request);
+ }
+ delete tmp;
+ continue;
+ } else {
+
+ for (comm_state<dim> state; !state.done(); state.step()) {
+ tmp->copy_from (state, data, ext);
+ }
+
+ //fprintf(stderr,"\n writing2 %d component: %d varindex: %d distrib_const: %d\n",CCTK_MyProc(cgh),component,varindex,(cgdata.disttype == CCTK_DISTRIB_CONSTANT));
+ // Write data
+ if (CCTK_MyProc(cgh)==0) {
+ int origin[dim], dims[dim];
+ for (int d=0; d<dim; ++d) {
+ origin[d] = (ext.lower() / ext.stride())[d];
+ dims[d] = (ext.shape() / ext.stride())[d];
+ }
+
+ amrwriter->write (origin, dims, (void*)tmp->storage());
+
+ // dump attributes
+ DumpCommonAttributes(cgh,writer,request);
+
+ }
+ // Delete temporary copy
+
+ delete tmp;
+
+ }
+ }
+ } END_COMPONENT_LOOP;
+
+
+ return 0;
+ }
+
+
+ int OutputVarAs (const cGH* const cgh, const char* const varname,
+ const char* const alias) {
+ DECLARE_CCTK_PARAMETERS;
+ const int n = CCTK_VarIndex(varname);
+ assert (n>=0 && n<CCTK_NumVars());
+ const int group = CCTK_GroupIndexFromVarI (n);
+ assert (group>=0 && group<(int)Carpet::arrdata.size());
+ const int n0 = CCTK_FirstVarIndexI(group);
+ assert (n0>=0 && n0<CCTK_NumVars());
+ const int var = n - n0;
+ assert (var>=0 && var<CCTK_NumVars());
+ const int tl = 0;
+
+ // Check for storage
+ if (! CCTK_QueryGroupStorageI(cgh, group)) {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Cannot output variable \"%s\" because it has no storage",
+ varname);
+ return 0;
+ }
+
+ const int grouptype = CCTK_GroupTypeI(group);
+ if (grouptype != CCTK_GF && reflevel>0) return 0;
+
+ int first_vindex = CCTK_FirstVarIndexI (group);
+ /* get the default I/O request for this group */
+ ioRequest* request = IOUtil_DefaultIORequest (cgh, first_vindex, 1);
+
+ // Get grid hierarchy extentsion from IOUtil
+ const ioGH * const iogh = (const ioGH *)CCTK_GHExtension (cgh, "IO");
+ assert (iogh);
+
+ // Create the output directory
+ const char* myoutdir = GetStringParameter("out3D_dir", out_dir);
+ if (CCTK_MyProc(cgh)==0) {
+ CCTK_CreateDirectory (0755, myoutdir);
+ }
+
+ // Invent a file name
+ const char* extension = 0;
+ if (CCTK_Equals(out3D_format, "IEEE")) {
+ extension = ".raw";
+#ifdef HDF4
+ } else if (CCTK_Equals(out3D_format, "HDF4")) {
+ extension = ".hdf";
+#endif
+#ifdef HDF5
+ } else if (CCTK_Equals(out3D_format, "HDF5")) {
+ extension = ".h5";
+#endif
+ } else {
+ assert (0);
+ }
+ extension = GetStringParameter ("out3D_extension", extension);
+
+ ostringstream filenamebuf;
+ filenamebuf << myoutdir << "/" << alias << extension;
+ string filenamestr = filenamebuf.str();
+ const char * const filename = filenamestr.c_str();
+
+ IObase* writer = 0;
+ AMRwriter* amrwriter = 0;
+
+ // Write the file only on the root processor
+ if (CCTK_MyProc(cgh)==0) {
+
+ // If this is the first time, then create and truncate the file
+ if (do_truncate[n]) {
+ struct stat fileinfo;
+ if (! iogh->recovered
+ || stat(filename, &fileinfo)!=0) {
+ writer = 0;
+ if (CCTK_Equals(out3D_format, "IEEE")) {
+ writer = new IEEEIO(filename, IObase::Create);
+#ifdef HDF4
+ } else if (CCTK_Equals(out3D_format, "HDF4")) {
+ writer = new HDFIO(filename, IObase::Create);
+#endif
+#ifdef HDF5
+ } else if (CCTK_Equals(out3D_format, "HDF5")) {
+ writer = new H5IO(filename, IObase::Create);
+#endif
+ } else {
+ assert (0);
+ }
+ delete writer;
+ writer = 0;
+ }
+ }
+
+ // Open the file
+ if (CCTK_Equals(out3D_format, "IEEE")) {
+ writer = new IEEEIO(filename, IObase::Append);
+#ifdef HDF4
+ } else if (CCTK_Equals(out3D_format, "HDF4")) {
+ writer = new HDFIO(filename, IObase::Append);
+#endif
+#ifdef HDF5
+ } else if (CCTK_Equals(out3D_format, "HDF5")) {
+ writer = new H5IO(filename, IObase::Append);
+#endif
+ } else {
+ assert (0);
+ }
+ assert (writer->isValid());
+
+
+ amrwriter = new AMRwriter(*writer);
+ }
+
+
+ WriteGF(cgh,writer,amrwriter,request,0);
+
+ // Close the file
+ if (CCTK_MyProc(cgh)==0) {
+ delete amrwriter;
+ amrwriter = 0;
+ delete writer;
+ writer = 0;
+ }
+
+ // Don't truncate again
+ do_truncate[n] = false;
+
+ return 0;
+ }
+
+
+
+ int TimeToOutput (const cGH* const cgh, const int vindex) {
+ DECLARE_CCTK_PARAMETERS;
+
+ assert (vindex>=0 && vindex<(int)last_output[reflevel].size());
+
+ const int myoutevery = GetIntParameter("out3D_every", out_every);
+
+ if (myoutevery < 0) {
+ // Nothing should be output at all
+ return 0;
+ }
+
+ if (cgh->cctk_iteration % myoutevery != 0) {
+ // Nothing should be output during this iteration
+ return 0;
+ }
+
+ if (! CheckForVariable(cgh, GetStringParameter("out3D_vars",""), vindex)) {
+ // This variable should not be output
+ return 0;
+ }
+
+ if (last_output[reflevel][vindex] == cgh->cctk_iteration) {
+ // Has already been output during this iteration
+ char* varname = CCTK_FullName(vindex);
+ CCTK_VWarn (5, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Skipping output for variable \"%s\", because this variable "
+ "has already been output during the current iteration -- "
+ "probably via a trigger during the analysis stage",
+ varname);
+ free (varname);
+ return 0;
+ }
+
+ assert (last_output[reflevel][vindex] < cgh->cctk_iteration);
+
+ // Should be output during this iteration
+ return 1;
+ }
+
+
+
+ int TriggerOutput (const cGH* const cgh, const int vindex) {
+ assert (vindex>=0 && vindex<CCTK_NumVars());
+
+ char* varname = CCTK_FullName(vindex);
+ const int retval = OutputVarAs (cgh, varname, CCTK_VarName(vindex));
+ free (varname);
+
+ last_output[reflevel][vindex] = cgh->cctk_iteration;
+
+ return retval;
+ }
+
+
+
+ int ReadGF (const cGH* const cgh, IObase* reader, AmrGridReader* amrreader,int currdataset) {
+
+ /* this functions reads in a variable on the current reflevel from an already open file. At
+ some point it should be called from InputVarAs */
+
+
+ DECLARE_CCTK_PARAMETERS;
+
+ int tl = -1;
+ int mglevel = -1;
+ int rl = -1;
+ int comp = -1;
+ int myproc = CCTK_MyProc (cgh);
+ int rank;
+ int dims[dim];
+ int nbytes;
+
+ char* varname;
+ char warnstring[256];
+ int asize,i;
+ IObase::DataType datatype;
+ int group,varindex;
+ CCTK_REAL cctk_time;
+
+ if(myproc==0) {
+ // read the name of the variable
+ i = reader->readAttributeInfo ("name", datatype, asize);
+ if (i >= 0 && datatype == FLEXIO_CHAR && asize > 0)
+ {
+ varname = (char*) malloc(sizeof(char)*asize+1);
+ reader->readAttribute (i, varname);
+ }
+ else
+ {
+ CCTK_WARN (0, "Something is wrong! Can't read dataset names!!!");
+ }
+
+ varindex = CCTK_VarIndex(varname);
+
+ assert(varindex > -1);
+
+ group = CCTK_GroupIndexFromVarI(varindex);
+ assert(group > -1);
+
+ // Check for storage
+ if (! CCTK_QueryGroupStorageI(cgh, group)) {
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Cannot recover variable \"%s\" because it has no storage",
+ varname);
+ return 0;
+ }
+
+
+ // read reflevel
+ i = reader->readAttributeInfo ("reflevel", datatype, asize);
+ if (i >= 0 && datatype == FLEXIO_INT && asize > 0)
+ {
+ reader->readAttribute (i, &rl);
+ }
+ else
+ {
+ CCTK_WARN (0, "Something is wrong! Can't read refinement level!!!");
+ }
+
+ i = reader->readAttributeInfo ("component", datatype, asize);
+ if (i >= 0 && datatype == FLEXIO_INT && asize > 0)
+ {
+ reader->readAttribute (i, &comp);
+ }
+ else
+ {
+ CCTK_WARN (0, "Something is wrong! Can't read component!!!");
+ }
+
+ i = reader->readAttributeInfo ("timelevel", datatype, asize);
+ if (i >= 0 && datatype == FLEXIO_INT && asize > 0)
+ {
+ reader->readAttribute (i, &tl);
+ }
+ else
+ {
+ CCTK_WARN (0, "Something is wrong! Can't read timelevel!!!");
+ }
+
+ i = reader->readAttributeInfo ("mglevel", datatype, asize);
+ if (i >= 0 && datatype == FLEXIO_INT && asize > 0)
+ {
+ reader->readAttribute (i, &mglevel);
+ }
+ else
+ {
+ CCTK_WARN (0, "Something is wrong! Can't read multi group level!!!");
+ }
+
+ i = reader->readAttributeInfo ("cctk_time", datatype, asize);
+ if (i >= 0 && datatype == FLEXIO_REAL && asize > 0)
+ {
+ reader->readAttribute (i, &cctk_time);
+ }
+ else
+ {
+ CCTK_WARN (0, "Something is wrong! Can't read coordinate time!!!");
+ }
+
+
+
+ // Read information about dataset
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Reading dataset info");
+ reader->readInfo (datatype, rank, dims);
+ nbytes = IObase::nBytes(datatype,rank,dims);
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "type=%d rank=%d dims=[%d,%d,%d] nbytes=%d", (int)datatype, rank, dims[0], dims[1], dims[2], nbytes);
+
+ int gpdim = CCTK_GroupDimI(group);
+ const int grouptype = CCTK_GroupTypeI(group);
+
+ // need gpdim=1 if scalar (flexio wants this)
+ if(gpdim == 0)
+ if(grouptype == CCTK_SCALAR)
+ gpdim = 1;
+ else
+ CCTK_WARN(0,"Non-scalar variable with dimension 0!!!");
+
+
+ CCTK_VInfo(CCTK_THORNSTRING,"Recovering varindex: %d grouptype: %d varname: %s tl: %d, rl: %d, c: %d",varindex,grouptype,varname,tl,rl,comp);
+
+ free(varname);
+
+ // Check rank
+ assert (rank==gpdim);
+ }
+
+
+ // Broadcast varindex,group,rank, dimensions, and nbytes,rl,tl,mglevel
+ MPI_Bcast (&varindex, 1, MPI_INT, 0, dist::comm);
+ assert (varindex>=0);
+ MPI_Bcast (&group, 1, MPI_INT, 0, dist::comm);
+ assert (group>=0);
+ MPI_Bcast (&rank, 1, MPI_INT, 0, dist::comm);
+ assert (rank>=1);
+ MPI_Bcast (&dims, rank, MPI_INT, 0, dist::comm);
+ for (int d=0; d<rank; ++d) assert (dims[d]>=0);
+ MPI_Bcast (&nbytes, 1, MPI_INT, 0, dist::comm);
+ assert (nbytes>=0);
+
+ MPI_Bcast (&rl, 1, MPI_INT, 0, dist::comm);
+ MPI_Bcast (&tl, 1, MPI_INT, 0, dist::comm);
+ MPI_Bcast (&mglevel, 1, MPI_INT, 0, dist::comm);
+ MPI_Bcast (&comp, 1, MPI_INT, 0, dist::comm);
+
+
+ int gpdim = CCTK_GroupDimI(group);
+ const int grouptype = CCTK_GroupTypeI(group);
+
+ cGroup cgdata;
+ int ierr = CCTK_GroupData(group,&cgdata);
+ assert(ierr==0);
+
+ // Read grid
+ AmrGrid* amrgrid = 0;
+ int amr_origin[dim];
+ int amr_dims[dim];
+ if (myproc==0) {
+
+ // Read data
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Reading AMR data");
+
+ amrgrid = amrreader->getGrid(currdataset);
+ assert (amrgrid!=0);
+ assert (amrgrid->data!=0);
+
+ IObase::DataType atype;
+ int alength;
+ // If iorigin attribute is absent, assume file has unigrid
+ // data. Initialize iorigin to 0.
+ if (reader->readAttributeInfo("iorigin", atype, alength) < 0) {
+ for (int d=0; d<gpdim; ++d) {
+ amrgrid->iorigin[d] = 0;
+ }
+ }
+ for (int d=0; d<gpdim; ++d) {
+ amr_origin[d] = amrgrid->iorigin[d];
+ // fprintf(stderr,"\n amr_origin[%d]=%d",d,amr_origin[d]);
+ amr_dims[d] = amrgrid->dims[d];
+ //fprintf(stderr,"\n amr_dims[%d]=%d",d,amr_dims[d]);
+ }
+ for (int d=gpdim; d<dim; ++d) {
+ amr_origin[d] = 0;
+ amr_dims[d] = 1;
+ }
+
+ } // MyProc == 0
+
+
+ MPI_Bcast (amr_origin, dim, MPI_INT, 0, dist::comm);
+ MPI_Bcast (amr_dims, dim, MPI_INT, 0, dist::comm);
+
+ const int n0 = CCTK_FirstVarIndexI(group);
+ assert (n0>=0 && n0<CCTK_NumVars());
+ const int var = varindex - n0;
+ assert (var>=0 && var<CCTK_NumVars());
+
+
+ // Traverse all components on this refinement and multigrid
+ // level
+
+
+ // fprintf(stderr,"\n bogus! reflevel:%d mglevel:%d\n",reflevel,mglevel);
+ //fprintf(stderr,"blahblah: rank: %d dims[0,1,2]: %d,%d,%d\n",rank,dims[0],dims[1],dims[2]);
+
+ // cout << "var " << varindex << " has " << CCTK_NumTimeLevelsFromVarI(varindex) << " timelevels" << endl;
+
+ // BEGIN_COMPONENT_LOOP(cgh, grouptype) {
+
+ //cout << "compontents " << hh->components(rl) << endl;
+
+ //cout << "myproc: " << CCTK_MyProc(cgh) << endl;
+ // fprintf(stderr,"%d amr_dims: %d,%d,%d\n",CCTK_MyProc(cgh),amr_dims[0],amr_dims[1],amr_dims[2]);
+ //fprintf(stderr,"%d amr_origin: %d,%d,%d\n",CCTK_MyProc(cgh),amr_origin[0],amr_origin[1],amr_origin[2]);
+
+ for(int c=0;c<hh->components(rl);c++) {
+
+ ggf<dim>* ff = 0;
+
+ assert (var < (int)arrdata[group].data.size());
+ ff = (ggf<dim>*)arrdata[group].data[var];
+
+ gdata<dim>* const data = (*ff) (tl, rl, c, mglevel);
+
+
+ // Create temporary data storage on processor 0
+ const int reflevelfact_local=ipow(reffact,rl);
+ vect<int,dim> str = vect<int,dim>(maxreflevelfact/reflevelfact_local);
+
+ if(grouptype == CCTK_SCALAR || grouptype == CCTK_ARRAY)
+ str = vect<int,dim> (1);
+
+
+ vect<int,dim> lb = vect<int,dim>(amr_origin) * str;
+ vect<int,dim> ub = lb + (vect<int,dim>(amr_dims) - 1) * str;
+
+
+
+ gdata<dim>* const tmp = data->make_typed (varindex);
+
+
+ // Copy into grid function
+
+ if (cgdata.disttype == CCTK_DISTRIB_CONSTANT) {
+ assert(grouptype == CCTK_ARRAY || grouptype == CCTK_SCALAR);
+ if (grouptype == CCTK_SCALAR) {
+ lb[0] = hh->processors.at(rl).at(c);
+ ub[0] = hh->processors.at(rl).at(c);
+ } else {
+ lb[dim-1] = lb[dim-1] + (ub[dim-1]-lb[dim-1]+1)*hh->processors.at(rl).at(c);
+ ub[dim-1] = ub[dim-1] + (ub[dim-1]-lb[dim-1]+1)*hh->processors.at(rl).at(c);
+ }
+ }
+
+ const bbox<int,dim> ext(lb,ub,str);
+
+
+ if (myproc==0) {
+ tmp->allocate (ext, 0, amrgrid->data);
+ } else {
+ tmp->allocate (ext, 0, 0);
+ }
+
+ for (comm_state<dim> state; !state.done(); state.step()) {
+ data->copy_from (state, tmp, ext & data->extent() );
+ }
+
+
+ // Delete temporary copy
+ delete tmp;
+
+ } // manual component loop
+
+ if (myproc==0) {
+ free (amrgrid->data);
+ free (amrgrid);
+ amrgrid = 0;
+ }
+
+
+ return 0;
+ }
+
+
+
+ int InputGH (const cGH* const cgh) {
+ int retval = 0;
+ for (int vindex=0; vindex<CCTK_NumVars(); ++vindex) {
+ if (CheckForVariable(cgh, GetStringParameter("in3D_vars",""), vindex)) {
+ char* varname = CCTK_FullName(vindex);
+ retval = InputVarAs (cgh, varname, CCTK_VarName(vindex));
+ free (varname);
+ if (retval != 0) return retval;
+ }
+ }
+ return retval;
+ }
+
+
+
+ int InputVarAs (const cGH* const cgh, const char* const varname,
+ const char* const alias) {
+ DECLARE_CCTK_PARAMETERS;
+
+ const int n = CCTK_VarIndex(varname);
+ assert (n>=0 && n<CCTK_NumVars());
+ const int group = CCTK_GroupIndexFromVarI (n);
+ assert (group>=0 && group<(int)Carpet::arrdata.size());
+ const int n0 = CCTK_FirstVarIndexI(group);
+ assert (n0>=0 && n0<CCTK_NumVars());
+ const int var = n - n0;
+ assert (var>=0 && var<CCTK_NumVars());
+ const int tl = 0; // CCTK_VInfo (CCTK_THORNSTRING, "boguscheck reflevel,component,mglevel %d,%d,%d",reflevel,component,mglevel);
+
+
+ // Check for storage
+ if (! CCTK_QueryGroupStorageI(cgh, group)) {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Cannot input variable \"%s\" because it has no storage",
+ varname);
+ return 0;
+ }
+
+ const int grouptype = CCTK_GroupTypeI(group);
+ const int rl = grouptype==CCTK_GF ? reflevel : 0;
+
+ // Find the input directory
+ const char* myindir = GetStringParameter("indir3D", "");
+
+ // Invent a file name
+ const char* extension = 0;
+ if (CCTK_Equals(in3D_format, "IEEE")) {
+ extension = ".raw";
+#ifdef HDF4
+ } else if (CCTK_Equals(in3D_format, "HDF4")) {
+ extension = ".hdf";
+#endif
+#ifdef HDF5
+ } else if (CCTK_Equals(in3D_format, "HDF5")) {
+ extension = ".h5";
+#endif
+ } else {
+ assert (0);
+ }
+ extension = GetStringParameter ("in3D_extension", extension);
+
+ ostringstream filenamebuf;
+ filenamebuf << myindir << "/" << alias << extension;
+ string filenamestr = filenamebuf.str();
+ const char * const filename = filenamestr.c_str();
+
+ IObase* reader = 0;
+ AmrGridReader* amrreader = 0;
+ int ndatasets = -1;
+
+ const int gpdim = CCTK_GroupDimI(group);
+
+ int rank;
+ int dims[dim];
+ int nbytes;
+
+ // Read the file only on the root processor
+ if (CCTK_MyProc(cgh)==0) {
+
+ // Open the file
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Opening file \"%s\"", filename);
+ if (CCTK_Equals(in3D_format, "IEEE")) {
+ reader = new IEEEIO(filename, IObase::Read);
+#ifdef HDF4
+ } else if (CCTK_Equals(in3D_format, "HDF4")) {
+ reader = new HDFIO(filename, IObase::Read);
+#endif
+#ifdef HDF5
+ } else if (CCTK_Equals(in3D_format, "HDF5")) {
+ reader = new H5IO(filename, IObase::Read);
+#endif
+ } else {
+ assert (0);
+ }
+ if (!reader->isValid()) {
+ CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Could not open file \"%s\" for reading", filename);
+ }
+ assert (reader->isValid());
+
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Reading AMR info");
+ amrreader = new AmrGridReader(*reader);
+
+ // Read information about dataset
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Reading dataset info");
+ IObase::DataType numbertype;
+ reader->readInfo (numbertype, rank, dims);
+ nbytes = IObase::nBytes(numbertype,rank,dims);
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "type=%d rank=%d dims=[%d,%d,%d] nbytes=%d", (int)numbertype, rank, dims[0], dims[1], dims[2], nbytes);
+
+ // Check rank
+ assert (rank==gpdim);
+
+ // Check datatype
+ // TODO: Check datatype correctly
+ assert (CCTK_VarTypeI(n) == CCTK_VARIABLE_REAL8
+ || (sizeof(CCTK_REAL) == sizeof(CCTK_REAL8)
+ && CCTK_VarTypeI(n) == CCTK_VARIABLE_REAL));
+
+ // TODO: check grid spacing
+
+ // Number of datasets
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Reading number of datasets");
+ ndatasets = reader->nDatasets();
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "ndatasets=%d", ndatasets);
+ assert (ndatasets>=0);
+ }
+
+ // Broadcast rank, dimensions, and nbytes
+ MPI_Bcast (&rank, 1, MPI_INT, 0, dist::comm);
+ assert (rank>=1);
+ MPI_Bcast (&dims, rank, MPI_INT, 0, dist::comm);
+ for (int d=0; d<rank; ++d) assert (dims[d]>=0);
+ MPI_Bcast (&nbytes, 1, MPI_INT, 0, dist::comm);
+ assert (nbytes>=0);
+
+ // Broadcast number of datasets
+ MPI_Bcast (&ndatasets, 1, MPI_INT, 0, dist::comm);
+ assert (ndatasets>=0);
+
+ // Read all datasets
+ // TODO: read only some datasets
+ for (int dataset=0; dataset<ndatasets; ++dataset) {
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Handling dataset #%d", dataset);
+
+ // Read grid
+ AmrGrid* amrgrid = 0;
+ int amr_origin[dim];
+ int amr_dims[dim];
+
+ if (CCTK_MyProc(cgh)==0) {
+
+ // Read data
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Reading AMR data");
+ amrgrid = amrreader->getGrid(dataset);
+ assert (amrgrid!=0);
+ assert (amrgrid->data!=0);
+
+ // If iorigin attribute is absent, assume file has unigrid
+ // data. Initialize iorigin to 0.
+ IObase::DataType atype;
+ int alength;
+ if (reader->readAttributeInfo("iorigin", atype, alength) < 0) {
+ for (int d=0; d<gpdim; ++d) {
+ amrgrid->iorigin[d] = 0;
+ }
+ }
+
+ for (int d=0; d<gpdim; ++d) {
+ amr_origin[d] = amrgrid->iorigin[d];
+ amr_dims[d] = amrgrid->dims[d];
+ }
+ for (int d=gpdim; d<dim; ++d) {
+ amr_origin[d] = 0;
+ amr_dims[d] = 1;
+ }
+
+ } // MyProc == 0
+ MPI_Bcast (amr_origin, dim, MPI_INT, 0, dist::comm);
+ MPI_Bcast (amr_dims, dim, MPI_INT, 0, dist::comm);
+
+ // Traverse all components on this refinement and multigrid
+ // level
+ BEGIN_COMPONENT_LOOP(cgh, grouptype) {
+
+ ggf<dim>* ff = 0;
+
+ assert (var < (int)arrdata[group].data.size());
+ ff = (ggf<dim>*)arrdata[group].data[var];
+
+ gdata<dim>* const data = (*ff) (tl, rl, component, mglevel);
+
+ // Create temporary data storage on processor 0
+ const vect<int,dim> str = vect<int,dim>(reflevelfact);
+ const vect<int,dim> lb = vect<int,dim>(amr_origin) * str;
+ const vect<int,dim> ub
+ = lb + (vect<int,dim>(amr_dims) - 1) * str;
+ const bbox<int,dim> ext(lb,ub,str);
+ gdata<dim>* const tmp = data->make_typed (n);
+
+ if (CCTK_MyProc(cgh)==0) {
+ tmp->allocate (ext, 0, amrgrid->data);
+ } else {
+ tmp->allocate (ext, 0, 0);
+ }
+
+ // Copy into grid function
+ for (comm_state<dim> state; !state.done(); state.step()) {
+ data->copy_from (state, tmp, ext);
+ }
+
+ // Delete temporary copy
+ delete tmp;
+
+ } END_COMPONENT_LOOP;
+
+ if (CCTK_MyProc(cgh)==0) {
+ free (amrgrid->data);
+ free (amrgrid);
+ amrgrid = 0;
+ }
+
+ } // loop over datasets
+
+ // Close the file
+ if (CCTK_MyProc(cgh)==0) {
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Deleting AMR info");
+ delete amrreader;
+ amrreader = 0;
+ if (verbose) CCTK_VInfo (CCTK_THORNSTRING, "Closing file");
+ delete reader;
+ reader = 0;
+ }
+
+ return 0;
+ }
+
+
+
+ int CarpetIOFlexIO_ReadData (CCTK_ARGUMENTS)
+ {
+ DECLARE_CCTK_ARGUMENTS;
+ return InputGH(cctkGH);
+ }
+
+
+
+ const char* GetStringParameter (const char* const parametername,
+ const char* const fallback)
+ {
+ if (CCTK_ParameterQueryTimesSet (parametername, CCTK_THORNSTRING) > 0) {
+ int ptype;
+ const char* const* const ppval = (const char* const*)CCTK_ParameterGet
+ (parametername, CCTK_THORNSTRING, &ptype);
+ assert (ppval);
+ const char* const pval = *ppval;
+ assert (ptype == PARAMETER_STRING);
+ return pval;
+ }
+
+ return fallback;
+ }
+
+
+
+ int GetIntParameter (const char* const parametername, int fallback)
+ {
+ if (CCTK_ParameterQueryTimesSet (parametername, CCTK_THORNSTRING) > 0) {
+ int ptype;
+ const int* const ppval = (const int*)CCTK_ParameterGet
+ (parametername, CCTK_THORNSTRING, &ptype);
+ assert (ppval);
+ const int pval = *ppval;
+ assert (ptype == PARAMETER_INT);
+ return pval;
+ }
+
+ return fallback;
+ }
+
+
+
+ bool CheckForVariable (const cGH* const cgh,
+ const char* const varlist, const int vindex)
+ {
+ const int numvars = CCTK_NumVars();
+ assert (vindex>=0 && vindex<numvars);
+
+ vector<bool> flags(numvars);
+
+ CCTK_TraverseString (varlist, SetFlag, &flags, CCTK_GROUP_OR_VAR);
+
+ return flags[vindex];
+ }
+
+ void SetFlag (int index, const char* optstring, void* arg)
+ {
+ vector<bool>& flags = *(vector<bool>*)arg;
+ flags[index] = true;
+ }
+
+
+
+} // namespace CarpetIOFlexIO
diff --git a/CarpetAttic/CarpetIOFlexIOCheckpoint/src/ioflexio.h b/CarpetAttic/CarpetIOFlexIOCheckpoint/src/ioflexio.h
new file mode 100644
index 000000000..d57890a74
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIOCheckpoint/src/ioflexio.h
@@ -0,0 +1,43 @@
+/* $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/CarpetIOFlexIOCheckpoint/src/ioflexio.h,v 1.3 2003/12/01 13:15:21 cott Exp $ */
+
+#ifndef CARPETIOFLEXIO_H
+#define CARPETIOFLEXIO_H
+
+#include "cctk_Arguments.h"
+
+
+
+#ifdef __cplusplus
+namespace CarpetIOFlexIO {
+ extern "C" {
+#endif
+
+ /* Scheduled functions */
+ int CarpetIOFlexIO_Startup (void);
+ int CarpetIOFlexIO_ReadData (CCTK_ARGUMENTS);
+#ifdef __cplusplus
+ } /* extern "C" */
+} /* namespace CarpetIOFlexIO */
+#endif
+
+#ifdef __cplusplus
+namespace CarpetCheckpointRestart {
+ extern "C" {
+#endif
+
+ /* Scheduled functions */
+ void CarpetIOFlexIO_EvolutionCheckpoint (const cGH*);
+ int CarpetIOFlexIO_RecoverParameters (void);
+ int CarpetIOFlexIO_Recover (cGH *GH, const char *basefilename, int called_from);
+#ifdef __cplusplus
+ } /* extern "C" */
+} /* namespace CarpetIOFlexIO */
+#endif
+
+
+#endif /* !defined(CARPETIOFLEXIO_H) */
+
+
+
+
+
diff --git a/CarpetAttic/CarpetIOFlexIOCheckpoint/src/ioflexio.hh b/CarpetAttic/CarpetIOFlexIOCheckpoint/src/ioflexio.hh
new file mode 100644
index 000000000..4f42bdf5b
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIOCheckpoint/src/ioflexio.hh
@@ -0,0 +1,173 @@
+// $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/CarpetIOFlexIOCheckpoint/src/ioflexio.hh,v 1.13 2004/01/12 10:50:31 cott Exp $
+
+#ifndef CARPETIOFLEXIO_HH
+#define CARPETIOFLEXIO_HH
+
+
+#include <vector>
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+
+#include "CactusBase/IOUtil/src/ioGH.h"
+#include "CactusBase/IOUtil/src/ioutil_CheckpointRecovery.h"
+#include "CactusBase/IOUtil/src/ioutil_Utils.h"
+
+#include "ioflexio.h"
+#include "ioflexioGH.h"
+
+/* define the IOFlexIO datatypes according to CCTK_??? datatypes */
+#define FLEXIO_CHAR IObase::Char
+
+#ifdef CCTK_INT2
+#define FLEXIO_INT2 IObase::Int16
+#endif
+#ifdef CCTK_INT4
+#define FLEXIO_INT4 IObase::Int32
+#endif
+#ifdef CCTK_INT8
+#define FLEXIO_INT8 IObase::Int64
+#endif
+
+#ifdef CCTK_REAL4
+#define FLEXIO_REAL4 IObase::Float32
+#endif
+#ifdef CCTK_REAL8
+#define FLEXIO_REAL8 IObase::Float64
+#endif
+#ifdef CCTK_REAL16
+#define FLEXIO_REAL16 -1
+#endif
+
+/* define the FlexIO types for the generic CCTK_INT and CCTK_REAL datatypes */
+#ifdef CCTK_INTEGER_PRECISION_8
+#define FLEXIO_INT IObase::Int64
+#elif CCTK_INTEGER_PRECISION_4
+#define FLEXIO_INT IObase::Int32
+#elif CCTK_INTEGER_PRECISION_2
+#define FLEXIO_INT IObase::Int16
+#endif
+
+#ifdef CCTK_REAL_PRECISION_4
+#define FLEXIO_REAL FLEXIO_REAL4
+#elif CCTK_REAL_PRECISION_8
+#define FLEXIO_REAL FLEXIO_REAL8
+#elif CCTK_REAL_PRECISION_16
+#define FLEXIO_REAL FLEXIO_REAL16
+#endif
+
+/* some macros needed for recovery */
+#ifdef CCTK_MPI
+
+#define CACTUS_MPI_ERROR(fn_call) \
+ do { \
+ int errcode; \
+ \
+ if ((errcode = fn_call) != MPI_SUCCESS) \
+ { \
+ char mpi_error_string[MPI_MAX_ERROR_STRING+1]; \
+ int resultlen; \
+ \
+ MPI_Error_string (errcode, mpi_error_string, &resultlen); \
+ fprintf (stderr, "MPI call '%s' returned error code %d (%s)\n", \
+ #fn_call, errcode, mpi_error_string); \
+ fprintf(stderr, "At line %d of file %s\n", __LINE__, __FILE__); \
+ } \
+ } while (0)
+
+
+#ifdef CCTK_INT4
+#define CARPET_MPI_INT4 (sizeof (CCTK_INT4) == sizeof (int) ? MPI_INT : \
+ sizeof (CCTK_INT4) == sizeof (short) ? MPI_SHORT : \
+ MPI_DATATYPE_NULL)
+#endif
+
+#define CARPET_MPI_CHAR MPI_CHAR
+
+/* floating point types are architecture-independent,
+ ie. a float has always 4 bytes, and a double has 8 bytes
+
+ PUGH_MPI_REAL is used for communicating reals of the generic CCTK_REAL type
+ PUGH_MPI_REALn is used to explicitely communicate n-byte reals */
+#ifdef CCTK_REAL4
+#define CARPET_MPI_REAL4 MPI_FLOAT
+#endif
+#ifdef CCTK_REAL8
+#define CARPET_MPI_REAL8 MPI_DOUBLE
+#endif
+#ifdef CCTK_REAL16
+#define CARPET_MPI_REAL16 (sizeof (CCTK_REAL16) == sizeof (long double) ? \
+ MPI_LONG_DOUBLE : MPI_DATATYPE_NULL)
+#endif
+
+
+#ifdef CCTK_REAL_PRECISION_16
+#define CARPET_MPI_REAL CARPET_MPI_REAL16
+#elif CCTK_REAL_PRECISION_8
+#define CARPET_MPI_REAL CARPET_MPI_REAL8
+#elif CCTK_REAL_PRECISION_4
+#define CARPET_MPI_REAL CARPET_MPI_REAL4
+#endif
+
+
+#endif
+
+namespace CarpetIOFlexIO {
+
+ // Variable definitions
+ extern int GHExtension;
+ extern int IOMethod;
+ extern vector<bool> do_truncate;
+ extern vector<vector<int> > last_output;
+
+ void* SetupGH (tFleshConfig* const fc,
+ const int convLevel, cGH* const cgh);
+
+ int OutputGH (const cGH* const cgh);
+ int OutputVarAs (const cGH* const cgh, const char* const varname,
+ const char* const alias);
+ int TimeToOutput (const cGH* const cgh, const int vindex);
+ int TriggerOutput (const cGH* const cgh, const int vindex);
+
+ int InputGH (const cGH* const cgh);
+ int InputVarAs (const cGH* const cgh, const char* const varname,
+ const char* const alias);
+
+ static const char* GetStringParameter (const char* const parametername,
+ const char* const fallback);
+
+ int WriteGF (const cGH* const cgh, IObase* writer, AMRwriter* amrwriter, ioRequest* request, const int called_from_checkpoint);
+ int ReadGF (const cGH* const cgh, IObase* reader, AmrGridReader* amrreader, int currdataset);
+
+} // namespace CarpetIOFlexIO
+
+namespace CarpetIOFlexIOUtil {
+
+ IObase::DataType FlexIODataType (int cctk_type);
+
+ void WriteAttribute (IObase* writer, const char* name,
+ int value);
+ void WriteAttribute (IObase* writer, const char* name,
+ const int* values, int nvalues);
+ void WriteAttribute (IObase* writer, const char* name,
+ CCTK_REAL value);
+ void WriteAttribute (IObase* writer, const char* name,
+ const CCTK_REAL* values, int nvalues);
+ void WriteAttribute (IObase* writer, const char* name,
+ const char* valuestring);
+
+ void DumpCommonAttributes (const cGH *cgh, IObase* writer, ioRequest* request);
+}
+
+namespace CarpetCheckpointRestart {
+
+ int CarpetIOFlexIO_Recover (cGH* cgh, const char *basefilename, int called_from);
+
+}
+
+
+#endif // !defined(CARPETIOFLEXIO_HH)
+
+
+
+
diff --git a/CarpetAttic/CarpetIOFlexIOCheckpoint/src/ioflexioGH.h b/CarpetAttic/CarpetIOFlexIOCheckpoint/src/ioflexioGH.h
new file mode 100644
index 000000000..321fdac1e
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIOCheckpoint/src/ioflexioGH.h
@@ -0,0 +1,49 @@
+#ifndef _CARPETIOFLEXIO_IOFLEXIOGH_H_
+#define _CARPETIOFLEXIO_IOFLEXIOGH_H_ 1
+
+#include "StoreNamedData.h"
+
+/* I took basically everything in this file from Thomas' IOHDF5; much of
+ below is still unused.. */
+
+/* CARPET IOFLEXIO GH extension structure */
+typedef struct
+{
+ /* default number of times to output */
+ int out_every_default;
+
+ /* number of times to output for each variable */
+ CCTK_INT *out_every;
+
+ /* the last iteration output for each variable */
+ int *out_last;
+
+ /* list of variables to output */
+ char *out_vars;
+
+ /* I/O request description list (for all variables) */
+ ioRequest **requests;
+
+ /* directory in which to output */
+ char *out_dir;
+
+ /* filename database for opened files */
+ pNamedData *open_output_files;
+
+ /* timer array for checkpointing/recovery */
+ // int timers[IOHDF5_NUM_TIMERS];
+
+ /* flag to indicate request for timer output */
+ // int print_timing_info;
+
+ /* ring buffer for list of successfully created cp files */
+ int cp_filename_index;
+ char **cp_filename_list;
+
+ /* iteration number of the last checkpoint */
+ int last_checkpoint_iteration;
+
+} CarpetIOFlexIOGH;
+
+
+#endif
diff --git a/CarpetAttic/CarpetIOFlexIOCheckpoint/src/ioflexioUtil.cc b/CarpetAttic/CarpetIOFlexIOCheckpoint/src/ioflexioUtil.cc
new file mode 100644
index 000000000..1342cbfa5
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIOCheckpoint/src/ioflexioUtil.cc
@@ -0,0 +1,194 @@
+#include <assert.h>
+#include <limits.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <sys/stat.h>
+#include <sys/types.h>
+
+#include <algorithm>
+#include <fstream>
+#include <sstream>
+#include <vector>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+#include "cctk_Version.h"
+
+#include "AMRwriter.hh"
+#include "AmrGridReader.hh"
+#ifdef HDF4
+# include "HDFIO.hh"
+#endif
+#ifdef HDF5
+# include "H5IO.hh"
+#endif
+#include "IEEEIO.hh"
+#include "IO.hh"
+
+// Hack to stop FlexIO type clash
+#undef BYTE
+#undef CHAR
+
+#include "bbox.hh"
+#include "data.hh"
+#include "gdata.hh"
+#include "ggf.hh"
+#include "vect.hh"
+
+#include "carpet.hh"
+#include "ioflexio.hh"
+
+
+namespace CarpetIOFlexIOUtil {
+
+ using namespace std;
+ using namespace Carpet;
+ using namespace CarpetIOFlexIO;
+
+ IObase::DataType FlexIODataType (int cctk_type){
+ //we need this to have the FlexIO data types on hand
+ //for WriteGFAs
+
+ int retval;
+
+ switch (cctk_type)
+ {
+ case CCTK_VARIABLE_CHAR: retval = FLEXIO_CHAR; break;
+ case CCTK_VARIABLE_INT: retval = FLEXIO_INT; break;
+ case CCTK_VARIABLE_REAL: retval = FLEXIO_REAL; break;
+#ifdef CCTK_INT2
+ case CCTK_VARIABLE_INT2: retval = FLEXIO_INT2; break;
+#endif
+#ifdef CCTK_INT4
+ case CCTK_VARIABLE_INT4: retval = FLEXIO_INT4; break;
+#endif
+#ifdef CCTK_INT8
+ case CCTK_VARIABLE_INT8: retval = FLEXIO_INT8; break;
+#endif
+#ifdef CCTK_REAL4
+ case CCTK_VARIABLE_REAL4: retval = FLEXIO_REAL4; break;
+#endif
+#ifdef CCTK_REAL8
+ case CCTK_VARIABLE_REAL8: retval = FLEXIO_REAL8; break;
+#endif
+#ifdef CCTK_REAL16
+ case CCTK_VARIABLE_REAL16: retval = FLEXIO_REAL16; break;
+#endif
+
+ default: CCTK_VWarn (0, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Unsupported CCTK variable datatype %d", cctk_type);
+ retval = -1;
+ break;
+ }
+
+ return (IObase::DataType)retval;
+ }
+
+
+ void DumpCommonAttributes (const cGH *cgh, IObase* writer, ioRequest* request)
+ {
+ int tl;
+ CCTK_INT attr_int,dimscalar;
+ DECLARE_CCTK_PARAMETERS;
+
+ /* attributes describing the variable */
+
+ char *name = CCTK_FullName (request->vindex);
+ WriteAttribute(writer,"name",name);
+ free(name);
+
+ char* groupname = CCTK_GroupNameFromVarI (request->vindex);
+ WriteAttribute(writer,"groupname",groupname);
+ free (groupname);
+
+ WriteAttribute(writer,"grouptype",CCTK_GroupTypeFromVarI (request->vindex));
+ WriteAttribute(writer,"reflevel",reflevel);
+ WriteAttribute(writer,"component",component);
+ WriteAttribute(writer,"mglevel",mglevel);
+
+
+ WriteAttribute (writer,"ntimelevels",CCTK_MaxTimeLevelsVI (request->vindex));
+
+ // lets get the correct Carpet time level (which is the (-1) * timelevel):
+ if (request->timelevel==0)
+ tl = 0;
+ else
+ tl = - request->timelevel;
+ WriteAttribute (writer, "timelevel", tl);
+
+ WriteAttribute (writer, "carpet_flexio_version", 1);
+ WriteAttribute (writer, "cctk_dim", cgh->cctk_dim);
+ WriteAttribute (writer, "cctk_iteration", cgh->cctk_iteration);
+ WriteAttribute (writer, "cctk_gsh", cgh->cctk_gsh, dim);
+ WriteAttribute (writer, "cctk_lsh", cgh->cctk_lsh, dim);
+ WriteAttribute (writer, "cctk_lbnd", cgh->cctk_lbnd, dim);
+ WriteAttribute (writer, "cctk_delta_time", cgh->cctk_delta_time);
+ WriteAttribute (writer, "cctk_delta_space", cgh->cctk_delta_space, dim);
+ WriteAttribute (writer, "cctk_origin_space", cgh->cctk_origin_space, dim);
+ WriteAttribute (writer, "cctk_bbox", cgh->cctk_bbox, 2*dim);
+ WriteAttribute (writer, "cctk_levfac", cgh->cctk_levfac, dim);
+ WriteAttribute (writer, "cctk_levoff", cgh->cctk_levoff, dim);
+ WriteAttribute (writer, "cctk_levoffdenom", cgh->cctk_levoffdenom, dim);
+ WriteAttribute (writer, "cctk_timefac", cgh->cctk_timefac);
+ WriteAttribute (writer, "cctk_convlevel", cgh->cctk_convlevel);
+ WriteAttribute (writer, "cctk_nghostzones", cgh->cctk_nghostzones, dim);
+ WriteAttribute (writer, "cctk_time", cgh->cctk_time);
+ }
+
+
+ void WriteAttribute (IObase* writer, const char* name, int value)
+ {
+ WriteAttribute (writer, name, &value, 1);
+ }
+
+ void WriteAttribute (IObase* writer, const char* name,
+ const int* values, int nvalues)
+ {
+ assert (writer);
+ assert (name);
+ assert (values);
+ vector<CCTK_INT4> values1(nvalues);
+ for (int i=0; i<nvalues; ++i) {
+ values1[i] = values[i];
+ }
+ writer->writeAttribute (name, IObase::Int32, nvalues, &values1[0]);
+ }
+
+ void WriteAttribute (IObase* writer, const char* name, CCTK_REAL value)
+ {
+ WriteAttribute (writer, name, &value, 1);
+ }
+
+ void WriteAttribute (IObase* writer, const char* name,
+ const CCTK_REAL* values, int nvalues)
+ {
+ assert (writer);
+ assert (name);
+ assert (values);
+ vector<CCTK_REAL8> values1(nvalues);
+ for (int i=0; i<nvalues; ++i) {
+ values1[i] = values[i];
+ }
+ writer->writeAttribute (name, IObase::Float64, nvalues, &values1[0]);
+ }
+
+ void WriteAttribute (IObase* writer, const char* name,
+ const char* valuestring)
+ {
+ assert (writer);
+ assert (name);
+ assert (valuestring);
+ writer->writeAttribute (name, IObase::String, strlen(valuestring)+1, valuestring);
+ }
+
+} // namespace CarpetIOFlexIOUtil
+
+
+
+
+
+
+
+
+
diff --git a/CarpetAttic/CarpetIOFlexIOCheckpoint/src/make.code.defn b/CarpetAttic/CarpetIOFlexIOCheckpoint/src/make.code.defn
new file mode 100644
index 000000000..0e1021e99
--- /dev/null
+++ b/CarpetAttic/CarpetIOFlexIOCheckpoint/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn CarpetIOFlexIO
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/CarpetIOFlexIOCheckpoint/src/make.code.defn,v 1.2 2003/09/23 12:34:43 cvs_anon Exp $
+
+# Source files in this directory
+SRCS = ioflexio.cc checkpointrestart.cc ioflexioUtil.cc
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/CarpetAttic/Cart3dTest/README b/CarpetAttic/Cart3dTest/README
new file mode 100644
index 000000000..5fcc111c8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/README
@@ -0,0 +1,8 @@
+Cactus Code Thorn Cart3dTest
+Authors : Erik Schnetter <schnetter@uni-tuebingen.de>
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/README,v 1.2 2002/04/29 11:28:00 schnetter Exp $
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+Test certain internals of Carpet.
diff --git a/CarpetAttic/Cart3dTest/interface.ccl b/CarpetAttic/Cart3dTest/interface.ccl
new file mode 100644
index 000000000..696a486b8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/interface.ccl
@@ -0,0 +1,14 @@
+# Interface definition for thorn Cart3dTest
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/interface.ccl,v 1.1 2001/03/01 15:49:27 eschnett Exp $
+
+implements: Cart3dTest
+inherits: grid
+
+CCTK_REAL quantities type=GF
+{
+ s,
+ vx, vy, vz,
+ fxx, fxy, fxz, fyx, fyy, fyz, fzx, fzy, fzz,
+ txx, txy, txz, tyy, tyz, tzz,
+ ax, ay, az
+} "Some tensor quantities"
diff --git a/CarpetAttic/Cart3dTest/param.ccl b/CarpetAttic/Cart3dTest/param.ccl
new file mode 100644
index 000000000..ba398c231
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/param.ccl
@@ -0,0 +1,2 @@
+# Parameter definitions for thorn Cart3dTest
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/param.ccl,v 1.1 2001/03/01 15:49:27 eschnett Exp $
diff --git a/CarpetAttic/Cart3dTest/schedule.ccl b/CarpetAttic/Cart3dTest/schedule.ccl
new file mode 100644
index 000000000..fe1e1a5a2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/schedule.ccl
@@ -0,0 +1,14 @@
+# Schedule definitions for thorn Cart3dTest
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/schedule.ccl,v 1.2 2003/11/05 16:18:39 schnetter Exp $
+
+storage: quantities
+
+schedule Cart3dTest_Initial at CCTK_INITIAL
+{
+ LANG: C
+} "Create some interesting initial data"
+
+schedule Cart3dTest_Evolve at CCTK_EVOL
+{
+ LANG: C
+} "Apply symmetry boundary conditions"
diff --git a/CarpetAttic/Cart3dTest/src/Evolve.c b/CarpetAttic/Cart3dTest/src/Evolve.c
new file mode 100644
index 000000000..b63e30e8c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/src/Evolve.c
@@ -0,0 +1,17 @@
+#include <assert.h>
+#include <stdio.h>
+#include <stdlib.h>
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+
+#include "Symmetry.h"
+
+int Cart3dTest_Evolve (CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_PARAMETERS
+
+ return Cart3dSymGN (cctkGH, "Cart3dTest::quantities");
+}
diff --git a/CarpetAttic/Cart3dTest/src/Initial.c b/CarpetAttic/Cart3dTest/src/Initial.c
new file mode 100644
index 000000000..123da0ec2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/src/Initial.c
@@ -0,0 +1,124 @@
+#include <assert.h>
+#include <stdio.h>
+#include <stdlib.h>
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+
+#include "Symmetry.h"
+
+
+
+int Cart3dTest_Initial (CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_PARAMETERS
+
+ int r;
+ int i,j,k;
+
+ int vi[9];
+
+#if 0
+ r = Cart3dSetTensorTypeVN (cctkGH, "Cart3dTest::s", "SCALAR");
+ assert (r>=0);
+
+ r = Cart3dSetTensorTypeVN
+ (cctkGH, "Cart3dTest::vx Cart3dTest::vy Cart3dTest::vz", "VECTOR");
+ assert (r>=0);
+
+ r = Cart3dSetTensorTypeVN
+ (cctkGH, "Cart3dTest::txx Cart3dTest::txy Cart3dTest::txz"
+ " Cart3dTest::tyy Cart3dTest::tyz Cart3dTest::tzz", "SYMMTENSOR");
+ assert (r>=0);
+
+ r = Cart3dSetTensorTypeVN
+ (cctkGH, "Cart3dTest::az Cart3dTest::ay Cart3dTest::ax", "ANTISYMMTENSOR");
+ assert (r>=0);
+#endif
+
+ vi[0] = CCTK_VarIndex("Cart3dTest::s");
+ r = Cart3dSetTensorTypeVI (cctkGH, 1, vi, "SCALAR");
+ assert (r>=0);
+
+ vi[0] = CCTK_VarIndex("Cart3dTest::vx");
+ vi[1] = CCTK_VarIndex("Cart3dTest::vy");
+ vi[2] = CCTK_VarIndex("Cart3dTest::vz");
+ r = Cart3dSetTensorTypeVI (cctkGH, 3, vi, "VECTOR");
+ assert (r>=0);
+
+ vi[0] = CCTK_VarIndex("Cart3dTest::txx");
+ vi[1] = CCTK_VarIndex("Cart3dTest::txy");
+ vi[2] = CCTK_VarIndex("Cart3dTest::txz");
+ vi[3] = CCTK_VarIndex("Cart3dTest::tyy");
+ vi[4] = CCTK_VarIndex("Cart3dTest::tyz");
+ vi[5] = CCTK_VarIndex("Cart3dTest::tzz");
+ r = Cart3dSetTensorTypeVI (cctkGH, 6, vi, "SYMMTENSOR");
+ assert (r>=0);
+
+ vi[0] = CCTK_VarIndex("Cart3dTest::fxx");
+ vi[1] = CCTK_VarIndex("Cart3dTest::fxy");
+ vi[2] = CCTK_VarIndex("Cart3dTest::fxz");
+ vi[3] = CCTK_VarIndex("Cart3dTest::fyx");
+ vi[4] = CCTK_VarIndex("Cart3dTest::fyy");
+ vi[5] = CCTK_VarIndex("Cart3dTest::fyz");
+ vi[6] = CCTK_VarIndex("Cart3dTest::fzx");
+ vi[7] = CCTK_VarIndex("Cart3dTest::fzy");
+ vi[8] = CCTK_VarIndex("Cart3dTest::fzz");
+ r = Cart3dSetTensorTypeVI (cctkGH, 9, vi, "TENSOR");
+ assert (r>=0);
+
+ vi[0] = CCTK_VarIndex("Cart3dTest::az"); /* watch the order! */
+ vi[1] = CCTK_VarIndex("Cart3dTest::ay");
+ vi[2] = CCTK_VarIndex("Cart3dTest::ax");
+ r = Cart3dSetTensorTypeVI (cctkGH, 3, vi, "ANTISYMMTENSOR");
+ assert (r>=0);
+
+ for (k=0; k<cctk_lsh[2]; ++k) {
+ for (j=0; j<cctk_lsh[1]; ++j) {
+ for (i=0; i<cctk_lsh[0]; ++i) {
+
+ const int ii = cctk_lbnd[0] + i;
+ const int jj = cctk_lbnd[1] + j;
+ const int kk = cctk_lbnd[2] + k;
+
+ const int ind = CCTK_GFINDEX3D(cctkGH, i,j,k);
+
+
+
+ /* store the position in the components */
+
+ s[ind] = (( 1 * 100 + ii) * 100 + jj) * 100 + kk;
+
+ vx[ind] = ((11 * 100 + ii) * 100 + jj) * 100 + kk;
+ vy[ind] = ((12 * 100 + ii) * 100 + jj) * 100 + kk;
+ vz[ind] = ((13 * 100 + ii) * 100 + jj) * 100 + kk;
+
+ txx[ind] = ((21 * 100 + ii) * 100 + jj) * 100 + kk;
+ txy[ind] = ((22 * 100 + ii) * 100 + jj) * 100 + kk;
+ txz[ind] = ((23 * 100 + ii) * 100 + jj) * 100 + kk;
+ tyy[ind] = ((24 * 100 + ii) * 100 + jj) * 100 + kk;
+ tyz[ind] = ((25 * 100 + ii) * 100 + jj) * 100 + kk;
+ tzz[ind] = ((26 * 100 + ii) * 100 + jj) * 100 + kk;
+
+ ax[ind] = ((31 * 100 + ii) * 100 + jj) * 100 + kk;
+ ay[ind] = ((32 * 100 + ii) * 100 + jj) * 100 + kk;
+ az[ind] = ((33 * 100 + ii) * 100 + jj) * 100 + kk;
+
+ fxx[ind] = ((41 * 100 + ii) * 100 + jj) * 100 + kk;
+ fxy[ind] = ((42 * 100 + ii) * 100 + jj) * 100 + kk;
+ fxz[ind] = ((43 * 100 + ii) * 100 + jj) * 100 + kk;
+ fyx[ind] = ((44 * 100 + ii) * 100 + jj) * 100 + kk;
+ fyy[ind] = ((45 * 100 + ii) * 100 + jj) * 100 + kk;
+ fyz[ind] = ((46 * 100 + ii) * 100 + jj) * 100 + kk;
+ fzx[ind] = ((47 * 100 + ii) * 100 + jj) * 100 + kk;
+ fzy[ind] = ((48 * 100 + ii) * 100 + jj) * 100 + kk;
+ fzz[ind] = ((49 * 100 + ii) * 100 + jj) * 100 + kk;
+
+ }
+ }
+ }
+
+ return 0;
+}
diff --git a/CarpetAttic/Cart3dTest/src/make.code.defn b/CarpetAttic/Cart3dTest/src/make.code.defn
new file mode 100644
index 000000000..5355100bc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn Cart3dTest
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/src/make.code.defn,v 1.1 2001/03/01 15:49:37 eschnett Exp $
+
+# Source files in this directory
+SRCS = Evolve.c Initial.c
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy.log b/CarpetAttic/Cart3dTest/test/axial-xy.log
new file mode 100644
index 000000000..2168e7cb0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy.log
@@ -0,0 +1,97 @@
+--------------------------------------------------------------------------------
+
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+
+Cactus version: 4.0.b11
+Compile date: Dec 14 2001 (21:50:34)
+Run date: Dec 14 2001 (21:51:03)
+Run host: lilypond.tat.physik.uni-tuebingen.de
+Parameter file: /home/eschnett/Calpha/Cactus/arrangements/Carpet/Cart3dTest/test/axial-xy.par
+--------------------------------------------------------------------------------
+
+Activating thorn Cactus...Success -> active implementation Cactus
+Activation requested for
+--->CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest<---
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+--------------------------------------------------------------------------------
+ if (recover)
+ Recover parameters
+ endif
+
+ Startup routines
+ Carpet: Startup routine
+ IOUtil: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOBasic: Startup routine
+ CarpetIOASCII: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+ if (recover)
+ endif
+ if (checkpoint initial data)
+ endif
+ if (analysis)
+ endif
+
+ do loop over timesteps
+ Rotate timelevels
+ iteration = iteration + 1
+ t = t+dt
+ Cart3dTest: Apply symmetry boundary conditions
+ if (checkpoint)
+ endif
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+INFO (Carpet): Carpet is running on 1 processors
+INFO (IOBasic): I/O Method 'Scalar' registered
+INFO (IOBasic): Scalar: Output of scalar quantities (grid scalars, reductions) to ASCII files
+INFO (IOBasic): I/O Method 'Info' registered
+INFO (IOBasic): Info: Output of scalar quantities (grid scalars, reductions) to screen
+INFO (Cart3d): Cartesian coordinates:
+INFO (Cart3d): Whole grid: lower bound [0.15, -0.15, -1.65]
+INFO (Cart3d): Whole grid: upper bound [2.85, 2.85, 1.65]
+INFO (Cart3d): Whole grid: extent [3, 3.3, 3.6]
+INFO (Cart3d): Interior: lower bound [0.15, 0.15, -1.05]
+INFO (Cart3d): Interior: upper bound [2.85, 2.55, 1.05]
+INFO (Cart3d): Interior: extent [3, 2.7, 2.4]
+INFO (Cart3d): Grid spacing: [0.3, 0.3, 0.3]
+INFO (IOBasic): Scalar: Output every -1 iterations
+INFO (IOBasic): Info: Output every -1 iterations
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy.par b/CarpetAttic/Cart3dTest/test/axial-xy.par
new file mode 100644
index 000000000..c1b73253e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy.par
@@ -0,0 +1,21 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/axial-xy.par,v 1.5 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 1
+
+grid::type = "byspacing"
+grid::mode_xy = "axial"
+
+driver::global_nx = 10
+driver::global_ny = 11
+driver::global_nz = 12
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "axial-xy"
+IOASCII::out1D_vars = "grid::coordinates Cart3dTest::quantities"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/ax.xl b/CarpetAttic/Cart3dTest/test/axial-xy/ax.xl
new file mode 100644
index 000000000..21fd0dbd2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/ax.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::ax x (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 31000106
+0 0 0 0 0 1 1 6 31010106
+0 0 0 0 0 2 1 6 31020106
+0 0 0 0 0 3 1 6 31030106
+0 0 0 0 0 4 1 6 31040106
+0 0 0 0 0 5 1 6 31050106
+0 0 0 0 0 6 1 6 31060106
+0 0 0 0 0 7 1 6 31070106
+0 0 0 0 0 8 1 6 31080106
+0 0 0 0 0 9 1 6 31090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 31000106
+1 0 0 0 0 1 1 6 31010106
+1 0 0 0 0 2 1 6 31020106
+1 0 0 0 0 3 1 6 31030106
+1 0 0 0 0 4 1 6 31040106
+1 0 0 0 0 5 1 6 31050106
+1 0 0 0 0 6 1 6 31060106
+1 0 0 0 0 7 1 6 31070106
+1 0 0 0 0 8 1 6 31080106
+1 0 0 0 0 9 1 6 31090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/ax.yl b/CarpetAttic/Cart3dTest/test/axial-xy/ax.yl
new file mode 100644
index 000000000..f4e94b8f5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/ax.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax y (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 31000006
+0 0 0 0 0 0 1 6 31000106
+0 0 0 0 0 0 2 6 31000206
+0 0 0 0 0 0 3 6 31000306
+0 0 0 0 0 0 4 6 31000406
+0 0 0 0 0 0 5 6 31000506
+0 0 0 0 0 0 6 6 31000606
+0 0 0 0 0 0 7 6 31000706
+0 0 0 0 0 0 8 6 31000806
+0 0 0 0 0 0 9 6 31000906
+0 0 0 0 0 0 10 6 31001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 -32000106
+1 0 0 0 0 0 1 6 31000106
+1 0 0 0 0 0 2 6 31000206
+1 0 0 0 0 0 3 6 31000306
+1 0 0 0 0 0 4 6 31000406
+1 0 0 0 0 0 5 6 31000506
+1 0 0 0 0 0 6 6 31000606
+1 0 0 0 0 0 7 6 31000706
+1 0 0 0 0 0 8 6 31000806
+1 0 0 0 0 0 9 6 31000906
+1 0 0 0 0 0 10 6 31001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/ax.zl b/CarpetAttic/Cart3dTest/test/axial-xy/ax.zl
new file mode 100644
index 000000000..d1db806dc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/ax.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::ax z (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 31000100
+0 0 0 0 0 0 1 1 31000101
+0 0 0 0 0 0 1 2 31000102
+0 0 0 0 0 0 1 3 31000103
+0 0 0 0 0 0 1 4 31000104
+0 0 0 0 0 0 1 5 31000105
+0 0 0 0 0 0 1 6 31000106
+0 0 0 0 0 0 1 7 31000107
+0 0 0 0 0 0 1 8 31000108
+0 0 0 0 0 0 1 9 31000109
+0 0 0 0 0 0 1 10 31000110
+0 0 0 0 0 0 1 11 31000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 31000100
+1 0 0 0 0 0 1 1 31000101
+1 0 0 0 0 0 1 2 31000102
+1 0 0 0 0 0 1 3 31000103
+1 0 0 0 0 0 1 4 31000104
+1 0 0 0 0 0 1 5 31000105
+1 0 0 0 0 0 1 6 31000106
+1 0 0 0 0 0 1 7 31000107
+1 0 0 0 0 0 1 8 31000108
+1 0 0 0 0 0 1 9 31000109
+1 0 0 0 0 0 1 10 31000110
+1 0 0 0 0 0 1 11 31000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/ay.xl b/CarpetAttic/Cart3dTest/test/axial-xy/ay.xl
new file mode 100644
index 000000000..5e89df814
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/ay.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::ay x (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 32000106
+0 0 0 0 0 1 1 6 32010106
+0 0 0 0 0 2 1 6 32020106
+0 0 0 0 0 3 1 6 32030106
+0 0 0 0 0 4 1 6 32040106
+0 0 0 0 0 5 1 6 32050106
+0 0 0 0 0 6 1 6 32060106
+0 0 0 0 0 7 1 6 32070106
+0 0 0 0 0 8 1 6 32080106
+0 0 0 0 0 9 1 6 32090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 32000106
+1 0 0 0 0 1 1 6 32010106
+1 0 0 0 0 2 1 6 32020106
+1 0 0 0 0 3 1 6 32030106
+1 0 0 0 0 4 1 6 32040106
+1 0 0 0 0 5 1 6 32050106
+1 0 0 0 0 6 1 6 32060106
+1 0 0 0 0 7 1 6 32070106
+1 0 0 0 0 8 1 6 32080106
+1 0 0 0 0 9 1 6 32090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/ay.yl b/CarpetAttic/Cart3dTest/test/axial-xy/ay.yl
new file mode 100644
index 000000000..da09ee49f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/ay.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay y (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 32000006
+0 0 0 0 0 0 1 6 32000106
+0 0 0 0 0 0 2 6 32000206
+0 0 0 0 0 0 3 6 32000306
+0 0 0 0 0 0 4 6 32000406
+0 0 0 0 0 0 5 6 32000506
+0 0 0 0 0 0 6 6 32000606
+0 0 0 0 0 0 7 6 32000706
+0 0 0 0 0 0 8 6 32000806
+0 0 0 0 0 0 9 6 32000906
+0 0 0 0 0 0 10 6 32001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 31000106
+1 0 0 0 0 0 1 6 32000106
+1 0 0 0 0 0 2 6 32000206
+1 0 0 0 0 0 3 6 32000306
+1 0 0 0 0 0 4 6 32000406
+1 0 0 0 0 0 5 6 32000506
+1 0 0 0 0 0 6 6 32000606
+1 0 0 0 0 0 7 6 32000706
+1 0 0 0 0 0 8 6 32000806
+1 0 0 0 0 0 9 6 32000906
+1 0 0 0 0 0 10 6 32001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/ay.zl b/CarpetAttic/Cart3dTest/test/axial-xy/ay.zl
new file mode 100644
index 000000000..7667b9be8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/ay.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::ay z (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 32000100
+0 0 0 0 0 0 1 1 32000101
+0 0 0 0 0 0 1 2 32000102
+0 0 0 0 0 0 1 3 32000103
+0 0 0 0 0 0 1 4 32000104
+0 0 0 0 0 0 1 5 32000105
+0 0 0 0 0 0 1 6 32000106
+0 0 0 0 0 0 1 7 32000107
+0 0 0 0 0 0 1 8 32000108
+0 0 0 0 0 0 1 9 32000109
+0 0 0 0 0 0 1 10 32000110
+0 0 0 0 0 0 1 11 32000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 32000100
+1 0 0 0 0 0 1 1 32000101
+1 0 0 0 0 0 1 2 32000102
+1 0 0 0 0 0 1 3 32000103
+1 0 0 0 0 0 1 4 32000104
+1 0 0 0 0 0 1 5 32000105
+1 0 0 0 0 0 1 6 32000106
+1 0 0 0 0 0 1 7 32000107
+1 0 0 0 0 0 1 8 32000108
+1 0 0 0 0 0 1 9 32000109
+1 0 0 0 0 0 1 10 32000110
+1 0 0 0 0 0 1 11 32000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/az.xl b/CarpetAttic/Cart3dTest/test/axial-xy/az.xl
new file mode 100644
index 000000000..0ac0faf5b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/az.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::az x (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 33000106
+0 0 0 0 0 1 1 6 33010106
+0 0 0 0 0 2 1 6 33020106
+0 0 0 0 0 3 1 6 33030106
+0 0 0 0 0 4 1 6 33040106
+0 0 0 0 0 5 1 6 33050106
+0 0 0 0 0 6 1 6 33060106
+0 0 0 0 0 7 1 6 33070106
+0 0 0 0 0 8 1 6 33080106
+0 0 0 0 0 9 1 6 33090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 33000106
+1 0 0 0 0 1 1 6 33010106
+1 0 0 0 0 2 1 6 33020106
+1 0 0 0 0 3 1 6 33030106
+1 0 0 0 0 4 1 6 33040106
+1 0 0 0 0 5 1 6 33050106
+1 0 0 0 0 6 1 6 33060106
+1 0 0 0 0 7 1 6 33070106
+1 0 0 0 0 8 1 6 33080106
+1 0 0 0 0 9 1 6 33090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/az.yl b/CarpetAttic/Cart3dTest/test/axial-xy/az.yl
new file mode 100644
index 000000000..b1da729da
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/az.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::az y (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 33000006
+0 0 0 0 0 0 1 6 33000106
+0 0 0 0 0 0 2 6 33000206
+0 0 0 0 0 0 3 6 33000306
+0 0 0 0 0 0 4 6 33000406
+0 0 0 0 0 0 5 6 33000506
+0 0 0 0 0 0 6 6 33000606
+0 0 0 0 0 0 7 6 33000706
+0 0 0 0 0 0 8 6 33000806
+0 0 0 0 0 0 9 6 33000906
+0 0 0 0 0 0 10 6 33001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 33000106
+1 0 0 0 0 0 1 6 33000106
+1 0 0 0 0 0 2 6 33000206
+1 0 0 0 0 0 3 6 33000306
+1 0 0 0 0 0 4 6 33000406
+1 0 0 0 0 0 5 6 33000506
+1 0 0 0 0 0 6 6 33000606
+1 0 0 0 0 0 7 6 33000706
+1 0 0 0 0 0 8 6 33000806
+1 0 0 0 0 0 9 6 33000906
+1 0 0 0 0 0 10 6 33001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/az.zl b/CarpetAttic/Cart3dTest/test/axial-xy/az.zl
new file mode 100644
index 000000000..501055464
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/az.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::az z (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 33000100
+0 0 0 0 0 0 1 1 33000101
+0 0 0 0 0 0 1 2 33000102
+0 0 0 0 0 0 1 3 33000103
+0 0 0 0 0 0 1 4 33000104
+0 0 0 0 0 0 1 5 33000105
+0 0 0 0 0 0 1 6 33000106
+0 0 0 0 0 0 1 7 33000107
+0 0 0 0 0 0 1 8 33000108
+0 0 0 0 0 0 1 9 33000109
+0 0 0 0 0 0 1 10 33000110
+0 0 0 0 0 0 1 11 33000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 33000100
+1 0 0 0 0 0 1 1 33000101
+1 0 0 0 0 0 1 2 33000102
+1 0 0 0 0 0 1 3 33000103
+1 0 0 0 0 0 1 4 33000104
+1 0 0 0 0 0 1 5 33000105
+1 0 0 0 0 0 1 6 33000106
+1 0 0 0 0 0 1 7 33000107
+1 0 0 0 0 0 1 8 33000108
+1 0 0 0 0 0 1 9 33000109
+1 0 0 0 0 0 1 10 33000110
+1 0 0 0 0 0 1 11 33000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_x.xl
new file mode 100644
index 000000000..14388dbd3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_x.xl
@@ -0,0 +1,32 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 0.15
+0 0 0 0 0 1 1 6 0.45
+0 0 0 0 0 2 1 6 0.75
+0 0 0 0 0 3 1 6 1.05
+0 0 0 0 0 4 1 6 1.35
+0 0 0 0 0 5 1 6 1.65
+0 0 0 0 0 6 1 6 1.95
+0 0 0 0 0 7 1 6 2.25
+0 0 0 0 0 8 1 6 2.55
+0 0 0 0 0 9 1 6 2.85
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 0.15
+1 0 0 0 0 1 1 6 0.45
+1 0 0 0 0 2 1 6 0.75
+1 0 0 0 0 3 1 6 1.05
+1 0 0 0 0 4 1 6 1.35
+1 0 0 0 0 5 1 6 1.65
+1 0 0 0 0 6 1 6 1.95
+1 0 0 0 0 7 1 6 2.25
+1 0 0 0 0 8 1 6 2.55
+1 0 0 0 0 9 1 6 2.85
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_x.yl
new file mode 100644
index 000000000..052327298
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_x.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 0.15
+0 0 0 0 0 0 1 6 0.15
+0 0 0 0 0 0 2 6 0.15
+0 0 0 0 0 0 3 6 0.15
+0 0 0 0 0 0 4 6 0.15
+0 0 0 0 0 0 5 6 0.15
+0 0 0 0 0 0 6 6 0.15
+0 0 0 0 0 0 7 6 0.15
+0 0 0 0 0 0 8 6 0.15
+0 0 0 0 0 0 9 6 0.15
+0 0 0 0 0 0 10 6 0.15
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 0.15
+1 0 0 0 0 0 1 6 0.15
+1 0 0 0 0 0 2 6 0.15
+1 0 0 0 0 0 3 6 0.15
+1 0 0 0 0 0 4 6 0.15
+1 0 0 0 0 0 5 6 0.15
+1 0 0 0 0 0 6 6 0.15
+1 0 0 0 0 0 7 6 0.15
+1 0 0 0 0 0 8 6 0.15
+1 0 0 0 0 0 9 6 0.15
+1 0 0 0 0 0 10 6 0.15
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_x.zl
new file mode 100644
index 000000000..6a9d0fc6c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_x.zl
@@ -0,0 +1,36 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 0.15
+0 0 0 0 0 0 1 1 0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 1 3 0.15
+0 0 0 0 0 0 1 4 0.15
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 0 1 6 0.15
+0 0 0 0 0 0 1 7 0.15
+0 0 0 0 0 0 1 8 0.15
+0 0 0 0 0 0 1 9 0.15
+0 0 0 0 0 0 1 10 0.15
+0 0 0 0 0 0 1 11 0.15
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 0.15
+1 0 0 0 0 0 1 1 0.15
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 0 1 3 0.15
+1 0 0 0 0 0 1 4 0.15
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 0 1 6 0.15
+1 0 0 0 0 0 1 7 0.15
+1 0 0 0 0 0 1 8 0.15
+1 0 0 0 0 0 1 9 0.15
+1 0 0 0 0 0 1 10 0.15
+1 0 0 0 0 0 1 11 0.15
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_y.xl
new file mode 100644
index 000000000..f49b299a7
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_y.xl
@@ -0,0 +1,32 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 0.15
+0 0 0 0 0 1 1 6 0.15
+0 0 0 0 0 2 1 6 0.15
+0 0 0 0 0 3 1 6 0.15
+0 0 0 0 0 4 1 6 0.15
+0 0 0 0 0 5 1 6 0.15
+0 0 0 0 0 6 1 6 0.15
+0 0 0 0 0 7 1 6 0.15
+0 0 0 0 0 8 1 6 0.15
+0 0 0 0 0 9 1 6 0.15
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 0.15
+1 0 0 0 0 1 1 6 0.15
+1 0 0 0 0 2 1 6 0.15
+1 0 0 0 0 3 1 6 0.15
+1 0 0 0 0 4 1 6 0.15
+1 0 0 0 0 5 1 6 0.15
+1 0 0 0 0 6 1 6 0.15
+1 0 0 0 0 7 1 6 0.15
+1 0 0 0 0 8 1 6 0.15
+1 0 0 0 0 9 1 6 0.15
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_y.yl
new file mode 100644
index 000000000..188fb2f10
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_y.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 -0.15
+0 0 0 0 0 0 1 6 0.15
+0 0 0 0 0 0 2 6 0.45
+0 0 0 0 0 0 3 6 0.75
+0 0 0 0 0 0 4 6 1.05
+0 0 0 0 0 0 5 6 1.35
+0 0 0 0 0 0 6 6 1.65
+0 0 0 0 0 0 7 6 1.95
+0 0 0 0 0 0 8 6 2.25
+0 0 0 0 0 0 9 6 2.55
+0 0 0 0 0 0 10 6 2.85
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 -0.15
+1 0 0 0 0 0 1 6 0.15
+1 0 0 0 0 0 2 6 0.45
+1 0 0 0 0 0 3 6 0.75
+1 0 0 0 0 0 4 6 1.05
+1 0 0 0 0 0 5 6 1.35
+1 0 0 0 0 0 6 6 1.65
+1 0 0 0 0 0 7 6 1.95
+1 0 0 0 0 0 8 6 2.25
+1 0 0 0 0 0 9 6 2.55
+1 0 0 0 0 0 10 6 2.85
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_y.zl
new file mode 100644
index 000000000..d819f9fa2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_y.zl
@@ -0,0 +1,36 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 0.15
+0 0 0 0 0 0 1 1 0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 1 3 0.15
+0 0 0 0 0 0 1 4 0.15
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 0 1 6 0.15
+0 0 0 0 0 0 1 7 0.15
+0 0 0 0 0 0 1 8 0.15
+0 0 0 0 0 0 1 9 0.15
+0 0 0 0 0 0 1 10 0.15
+0 0 0 0 0 0 1 11 0.15
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 0.15
+1 0 0 0 0 0 1 1 0.15
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 0 1 3 0.15
+1 0 0 0 0 0 1 4 0.15
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 0 1 6 0.15
+1 0 0 0 0 0 1 7 0.15
+1 0 0 0 0 0 1 8 0.15
+1 0 0 0 0 0 1 9 0.15
+1 0 0 0 0 0 1 10 0.15
+1 0 0 0 0 0 1 11 0.15
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_z.xl
new file mode 100644
index 000000000..d719c11f8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_z.xl
@@ -0,0 +1,32 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 0.15
+0 0 0 0 0 1 1 6 0.15
+0 0 0 0 0 2 1 6 0.15
+0 0 0 0 0 3 1 6 0.15
+0 0 0 0 0 4 1 6 0.15
+0 0 0 0 0 5 1 6 0.15
+0 0 0 0 0 6 1 6 0.15
+0 0 0 0 0 7 1 6 0.15
+0 0 0 0 0 8 1 6 0.15
+0 0 0 0 0 9 1 6 0.15
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 0.15
+1 0 0 0 0 1 1 6 0.15
+1 0 0 0 0 2 1 6 0.15
+1 0 0 0 0 3 1 6 0.15
+1 0 0 0 0 4 1 6 0.15
+1 0 0 0 0 5 1 6 0.15
+1 0 0 0 0 6 1 6 0.15
+1 0 0 0 0 7 1 6 0.15
+1 0 0 0 0 8 1 6 0.15
+1 0 0 0 0 9 1 6 0.15
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_z.yl
new file mode 100644
index 000000000..4a391c014
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_z.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 0.15
+0 0 0 0 0 0 1 6 0.15
+0 0 0 0 0 0 2 6 0.15
+0 0 0 0 0 0 3 6 0.15
+0 0 0 0 0 0 4 6 0.15
+0 0 0 0 0 0 5 6 0.15
+0 0 0 0 0 0 6 6 0.15
+0 0 0 0 0 0 7 6 0.15
+0 0 0 0 0 0 8 6 0.15
+0 0 0 0 0 0 9 6 0.15
+0 0 0 0 0 0 10 6 0.15
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 0.15
+1 0 0 0 0 0 1 6 0.15
+1 0 0 0 0 0 2 6 0.15
+1 0 0 0 0 0 3 6 0.15
+1 0 0 0 0 0 4 6 0.15
+1 0 0 0 0 0 5 6 0.15
+1 0 0 0 0 0 6 6 0.15
+1 0 0 0 0 0 7 6 0.15
+1 0 0 0 0 0 8 6 0.15
+1 0 0 0 0 0 9 6 0.15
+1 0 0 0 0 0 10 6 0.15
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_z.zl
new file mode 100644
index 000000000..8af59f210
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/cart3d_z.zl
@@ -0,0 +1,36 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 -1.65
+0 0 0 0 0 0 1 1 -1.35
+0 0 0 0 0 0 1 2 -1.05
+0 0 0 0 0 0 1 3 -0.75
+0 0 0 0 0 0 1 4 -0.45
+0 0 0 0 0 0 1 5 -0.15
+0 0 0 0 0 0 1 6 0.15
+0 0 0 0 0 0 1 7 0.45
+0 0 0 0 0 0 1 8 0.75
+0 0 0 0 0 0 1 9 1.05
+0 0 0 0 0 0 1 10 1.35
+0 0 0 0 0 0 1 11 1.65
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -1.65
+1 0 0 0 0 0 1 1 -1.35
+1 0 0 0 0 0 1 2 -1.05
+1 0 0 0 0 0 1 3 -0.75
+1 0 0 0 0 0 1 4 -0.45
+1 0 0 0 0 0 1 5 -0.15
+1 0 0 0 0 0 1 6 0.15
+1 0 0 0 0 0 1 7 0.45
+1 0 0 0 0 0 1 8 0.75
+1 0 0 0 0 0 1 9 1.05
+1 0 0 0 0 0 1 10 1.35
+1 0 0 0 0 0 1 11 1.65
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fxx.xl b/CarpetAttic/Cart3dTest/test/axial-xy/fxx.xl
new file mode 100644
index 000000000..5578e6ccf
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fxx.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fxx x (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 41000106
+0 0 0 0 0 1 1 6 41010106
+0 0 0 0 0 2 1 6 41020106
+0 0 0 0 0 3 1 6 41030106
+0 0 0 0 0 4 1 6 41040106
+0 0 0 0 0 5 1 6 41050106
+0 0 0 0 0 6 1 6 41060106
+0 0 0 0 0 7 1 6 41070106
+0 0 0 0 0 8 1 6 41080106
+0 0 0 0 0 9 1 6 41090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 41000106
+1 0 0 0 0 1 1 6 41010106
+1 0 0 0 0 2 1 6 41020106
+1 0 0 0 0 3 1 6 41030106
+1 0 0 0 0 4 1 6 41040106
+1 0 0 0 0 5 1 6 41050106
+1 0 0 0 0 6 1 6 41060106
+1 0 0 0 0 7 1 6 41070106
+1 0 0 0 0 8 1 6 41080106
+1 0 0 0 0 9 1 6 41090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fxx.yl b/CarpetAttic/Cart3dTest/test/axial-xy/fxx.yl
new file mode 100644
index 000000000..666b88179
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fxx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx y (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 41000006
+0 0 0 0 0 0 1 6 41000106
+0 0 0 0 0 0 2 6 41000206
+0 0 0 0 0 0 3 6 41000306
+0 0 0 0 0 0 4 6 41000406
+0 0 0 0 0 0 5 6 41000506
+0 0 0 0 0 0 6 6 41000606
+0 0 0 0 0 0 7 6 41000706
+0 0 0 0 0 0 8 6 41000806
+0 0 0 0 0 0 9 6 41000906
+0 0 0 0 0 0 10 6 41001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 45000106
+1 0 0 0 0 0 1 6 41000106
+1 0 0 0 0 0 2 6 41000206
+1 0 0 0 0 0 3 6 41000306
+1 0 0 0 0 0 4 6 41000406
+1 0 0 0 0 0 5 6 41000506
+1 0 0 0 0 0 6 6 41000606
+1 0 0 0 0 0 7 6 41000706
+1 0 0 0 0 0 8 6 41000806
+1 0 0 0 0 0 9 6 41000906
+1 0 0 0 0 0 10 6 41001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fxx.zl b/CarpetAttic/Cart3dTest/test/axial-xy/fxx.zl
new file mode 100644
index 000000000..5d00e7a07
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fxx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxx z (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 41000100
+0 0 0 0 0 0 1 1 41000101
+0 0 0 0 0 0 1 2 41000102
+0 0 0 0 0 0 1 3 41000103
+0 0 0 0 0 0 1 4 41000104
+0 0 0 0 0 0 1 5 41000105
+0 0 0 0 0 0 1 6 41000106
+0 0 0 0 0 0 1 7 41000107
+0 0 0 0 0 0 1 8 41000108
+0 0 0 0 0 0 1 9 41000109
+0 0 0 0 0 0 1 10 41000110
+0 0 0 0 0 0 1 11 41000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 41000100
+1 0 0 0 0 0 1 1 41000101
+1 0 0 0 0 0 1 2 41000102
+1 0 0 0 0 0 1 3 41000103
+1 0 0 0 0 0 1 4 41000104
+1 0 0 0 0 0 1 5 41000105
+1 0 0 0 0 0 1 6 41000106
+1 0 0 0 0 0 1 7 41000107
+1 0 0 0 0 0 1 8 41000108
+1 0 0 0 0 0 1 9 41000109
+1 0 0 0 0 0 1 10 41000110
+1 0 0 0 0 0 1 11 41000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fxy.xl b/CarpetAttic/Cart3dTest/test/axial-xy/fxy.xl
new file mode 100644
index 000000000..4ecd6d861
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fxy.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fxy x (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 42000106
+0 0 0 0 0 1 1 6 42010106
+0 0 0 0 0 2 1 6 42020106
+0 0 0 0 0 3 1 6 42030106
+0 0 0 0 0 4 1 6 42040106
+0 0 0 0 0 5 1 6 42050106
+0 0 0 0 0 6 1 6 42060106
+0 0 0 0 0 7 1 6 42070106
+0 0 0 0 0 8 1 6 42080106
+0 0 0 0 0 9 1 6 42090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 42000106
+1 0 0 0 0 1 1 6 42010106
+1 0 0 0 0 2 1 6 42020106
+1 0 0 0 0 3 1 6 42030106
+1 0 0 0 0 4 1 6 42040106
+1 0 0 0 0 5 1 6 42050106
+1 0 0 0 0 6 1 6 42060106
+1 0 0 0 0 7 1 6 42070106
+1 0 0 0 0 8 1 6 42080106
+1 0 0 0 0 9 1 6 42090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fxy.yl b/CarpetAttic/Cart3dTest/test/axial-xy/fxy.yl
new file mode 100644
index 000000000..d2b9d020d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fxy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy y (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 42000006
+0 0 0 0 0 0 1 6 42000106
+0 0 0 0 0 0 2 6 42000206
+0 0 0 0 0 0 3 6 42000306
+0 0 0 0 0 0 4 6 42000406
+0 0 0 0 0 0 5 6 42000506
+0 0 0 0 0 0 6 6 42000606
+0 0 0 0 0 0 7 6 42000706
+0 0 0 0 0 0 8 6 42000806
+0 0 0 0 0 0 9 6 42000906
+0 0 0 0 0 0 10 6 42001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 -44000106
+1 0 0 0 0 0 1 6 42000106
+1 0 0 0 0 0 2 6 42000206
+1 0 0 0 0 0 3 6 42000306
+1 0 0 0 0 0 4 6 42000406
+1 0 0 0 0 0 5 6 42000506
+1 0 0 0 0 0 6 6 42000606
+1 0 0 0 0 0 7 6 42000706
+1 0 0 0 0 0 8 6 42000806
+1 0 0 0 0 0 9 6 42000906
+1 0 0 0 0 0 10 6 42001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fxy.zl b/CarpetAttic/Cart3dTest/test/axial-xy/fxy.zl
new file mode 100644
index 000000000..d33b031d7
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fxy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxy z (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 42000100
+0 0 0 0 0 0 1 1 42000101
+0 0 0 0 0 0 1 2 42000102
+0 0 0 0 0 0 1 3 42000103
+0 0 0 0 0 0 1 4 42000104
+0 0 0 0 0 0 1 5 42000105
+0 0 0 0 0 0 1 6 42000106
+0 0 0 0 0 0 1 7 42000107
+0 0 0 0 0 0 1 8 42000108
+0 0 0 0 0 0 1 9 42000109
+0 0 0 0 0 0 1 10 42000110
+0 0 0 0 0 0 1 11 42000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 42000100
+1 0 0 0 0 0 1 1 42000101
+1 0 0 0 0 0 1 2 42000102
+1 0 0 0 0 0 1 3 42000103
+1 0 0 0 0 0 1 4 42000104
+1 0 0 0 0 0 1 5 42000105
+1 0 0 0 0 0 1 6 42000106
+1 0 0 0 0 0 1 7 42000107
+1 0 0 0 0 0 1 8 42000108
+1 0 0 0 0 0 1 9 42000109
+1 0 0 0 0 0 1 10 42000110
+1 0 0 0 0 0 1 11 42000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fxz.xl b/CarpetAttic/Cart3dTest/test/axial-xy/fxz.xl
new file mode 100644
index 000000000..754816aa2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fxz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fxz x (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 43000106
+0 0 0 0 0 1 1 6 43010106
+0 0 0 0 0 2 1 6 43020106
+0 0 0 0 0 3 1 6 43030106
+0 0 0 0 0 4 1 6 43040106
+0 0 0 0 0 5 1 6 43050106
+0 0 0 0 0 6 1 6 43060106
+0 0 0 0 0 7 1 6 43070106
+0 0 0 0 0 8 1 6 43080106
+0 0 0 0 0 9 1 6 43090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 43000106
+1 0 0 0 0 1 1 6 43010106
+1 0 0 0 0 2 1 6 43020106
+1 0 0 0 0 3 1 6 43030106
+1 0 0 0 0 4 1 6 43040106
+1 0 0 0 0 5 1 6 43050106
+1 0 0 0 0 6 1 6 43060106
+1 0 0 0 0 7 1 6 43070106
+1 0 0 0 0 8 1 6 43080106
+1 0 0 0 0 9 1 6 43090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fxz.yl b/CarpetAttic/Cart3dTest/test/axial-xy/fxz.yl
new file mode 100644
index 000000000..4b6b98dcc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fxz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz y (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 43000006
+0 0 0 0 0 0 1 6 43000106
+0 0 0 0 0 0 2 6 43000206
+0 0 0 0 0 0 3 6 43000306
+0 0 0 0 0 0 4 6 43000406
+0 0 0 0 0 0 5 6 43000506
+0 0 0 0 0 0 6 6 43000606
+0 0 0 0 0 0 7 6 43000706
+0 0 0 0 0 0 8 6 43000806
+0 0 0 0 0 0 9 6 43000906
+0 0 0 0 0 0 10 6 43001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 46000106
+1 0 0 0 0 0 1 6 43000106
+1 0 0 0 0 0 2 6 43000206
+1 0 0 0 0 0 3 6 43000306
+1 0 0 0 0 0 4 6 43000406
+1 0 0 0 0 0 5 6 43000506
+1 0 0 0 0 0 6 6 43000606
+1 0 0 0 0 0 7 6 43000706
+1 0 0 0 0 0 8 6 43000806
+1 0 0 0 0 0 9 6 43000906
+1 0 0 0 0 0 10 6 43001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fxz.zl b/CarpetAttic/Cart3dTest/test/axial-xy/fxz.zl
new file mode 100644
index 000000000..62813dade
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fxz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxz z (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 43000100
+0 0 0 0 0 0 1 1 43000101
+0 0 0 0 0 0 1 2 43000102
+0 0 0 0 0 0 1 3 43000103
+0 0 0 0 0 0 1 4 43000104
+0 0 0 0 0 0 1 5 43000105
+0 0 0 0 0 0 1 6 43000106
+0 0 0 0 0 0 1 7 43000107
+0 0 0 0 0 0 1 8 43000108
+0 0 0 0 0 0 1 9 43000109
+0 0 0 0 0 0 1 10 43000110
+0 0 0 0 0 0 1 11 43000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 43000100
+1 0 0 0 0 0 1 1 43000101
+1 0 0 0 0 0 1 2 43000102
+1 0 0 0 0 0 1 3 43000103
+1 0 0 0 0 0 1 4 43000104
+1 0 0 0 0 0 1 5 43000105
+1 0 0 0 0 0 1 6 43000106
+1 0 0 0 0 0 1 7 43000107
+1 0 0 0 0 0 1 8 43000108
+1 0 0 0 0 0 1 9 43000109
+1 0 0 0 0 0 1 10 43000110
+1 0 0 0 0 0 1 11 43000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fyx.xl b/CarpetAttic/Cart3dTest/test/axial-xy/fyx.xl
new file mode 100644
index 000000000..5a928f1e5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fyx.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fyx x (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 44000106
+0 0 0 0 0 1 1 6 44010106
+0 0 0 0 0 2 1 6 44020106
+0 0 0 0 0 3 1 6 44030106
+0 0 0 0 0 4 1 6 44040106
+0 0 0 0 0 5 1 6 44050106
+0 0 0 0 0 6 1 6 44060106
+0 0 0 0 0 7 1 6 44070106
+0 0 0 0 0 8 1 6 44080106
+0 0 0 0 0 9 1 6 44090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 44000106
+1 0 0 0 0 1 1 6 44010106
+1 0 0 0 0 2 1 6 44020106
+1 0 0 0 0 3 1 6 44030106
+1 0 0 0 0 4 1 6 44040106
+1 0 0 0 0 5 1 6 44050106
+1 0 0 0 0 6 1 6 44060106
+1 0 0 0 0 7 1 6 44070106
+1 0 0 0 0 8 1 6 44080106
+1 0 0 0 0 9 1 6 44090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fyx.yl b/CarpetAttic/Cart3dTest/test/axial-xy/fyx.yl
new file mode 100644
index 000000000..99317da73
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fyx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx y (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 44000006
+0 0 0 0 0 0 1 6 44000106
+0 0 0 0 0 0 2 6 44000206
+0 0 0 0 0 0 3 6 44000306
+0 0 0 0 0 0 4 6 44000406
+0 0 0 0 0 0 5 6 44000506
+0 0 0 0 0 0 6 6 44000606
+0 0 0 0 0 0 7 6 44000706
+0 0 0 0 0 0 8 6 44000806
+0 0 0 0 0 0 9 6 44000906
+0 0 0 0 0 0 10 6 44001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 -42000106
+1 0 0 0 0 0 1 6 44000106
+1 0 0 0 0 0 2 6 44000206
+1 0 0 0 0 0 3 6 44000306
+1 0 0 0 0 0 4 6 44000406
+1 0 0 0 0 0 5 6 44000506
+1 0 0 0 0 0 6 6 44000606
+1 0 0 0 0 0 7 6 44000706
+1 0 0 0 0 0 8 6 44000806
+1 0 0 0 0 0 9 6 44000906
+1 0 0 0 0 0 10 6 44001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fyx.zl b/CarpetAttic/Cart3dTest/test/axial-xy/fyx.zl
new file mode 100644
index 000000000..35de7c246
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fyx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyx z (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 44000100
+0 0 0 0 0 0 1 1 44000101
+0 0 0 0 0 0 1 2 44000102
+0 0 0 0 0 0 1 3 44000103
+0 0 0 0 0 0 1 4 44000104
+0 0 0 0 0 0 1 5 44000105
+0 0 0 0 0 0 1 6 44000106
+0 0 0 0 0 0 1 7 44000107
+0 0 0 0 0 0 1 8 44000108
+0 0 0 0 0 0 1 9 44000109
+0 0 0 0 0 0 1 10 44000110
+0 0 0 0 0 0 1 11 44000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 44000100
+1 0 0 0 0 0 1 1 44000101
+1 0 0 0 0 0 1 2 44000102
+1 0 0 0 0 0 1 3 44000103
+1 0 0 0 0 0 1 4 44000104
+1 0 0 0 0 0 1 5 44000105
+1 0 0 0 0 0 1 6 44000106
+1 0 0 0 0 0 1 7 44000107
+1 0 0 0 0 0 1 8 44000108
+1 0 0 0 0 0 1 9 44000109
+1 0 0 0 0 0 1 10 44000110
+1 0 0 0 0 0 1 11 44000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fyy.xl b/CarpetAttic/Cart3dTest/test/axial-xy/fyy.xl
new file mode 100644
index 000000000..912b91ab0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fyy.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fyy x (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 45000106
+0 0 0 0 0 1 1 6 45010106
+0 0 0 0 0 2 1 6 45020106
+0 0 0 0 0 3 1 6 45030106
+0 0 0 0 0 4 1 6 45040106
+0 0 0 0 0 5 1 6 45050106
+0 0 0 0 0 6 1 6 45060106
+0 0 0 0 0 7 1 6 45070106
+0 0 0 0 0 8 1 6 45080106
+0 0 0 0 0 9 1 6 45090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 45000106
+1 0 0 0 0 1 1 6 45010106
+1 0 0 0 0 2 1 6 45020106
+1 0 0 0 0 3 1 6 45030106
+1 0 0 0 0 4 1 6 45040106
+1 0 0 0 0 5 1 6 45050106
+1 0 0 0 0 6 1 6 45060106
+1 0 0 0 0 7 1 6 45070106
+1 0 0 0 0 8 1 6 45080106
+1 0 0 0 0 9 1 6 45090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fyy.yl b/CarpetAttic/Cart3dTest/test/axial-xy/fyy.yl
new file mode 100644
index 000000000..c2c4d25ca
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy y (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 45000006
+0 0 0 0 0 0 1 6 45000106
+0 0 0 0 0 0 2 6 45000206
+0 0 0 0 0 0 3 6 45000306
+0 0 0 0 0 0 4 6 45000406
+0 0 0 0 0 0 5 6 45000506
+0 0 0 0 0 0 6 6 45000606
+0 0 0 0 0 0 7 6 45000706
+0 0 0 0 0 0 8 6 45000806
+0 0 0 0 0 0 9 6 45000906
+0 0 0 0 0 0 10 6 45001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 41000106
+1 0 0 0 0 0 1 6 45000106
+1 0 0 0 0 0 2 6 45000206
+1 0 0 0 0 0 3 6 45000306
+1 0 0 0 0 0 4 6 45000406
+1 0 0 0 0 0 5 6 45000506
+1 0 0 0 0 0 6 6 45000606
+1 0 0 0 0 0 7 6 45000706
+1 0 0 0 0 0 8 6 45000806
+1 0 0 0 0 0 9 6 45000906
+1 0 0 0 0 0 10 6 45001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fyy.zl b/CarpetAttic/Cart3dTest/test/axial-xy/fyy.zl
new file mode 100644
index 000000000..bdd9bae4e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fyy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyy z (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 45000100
+0 0 0 0 0 0 1 1 45000101
+0 0 0 0 0 0 1 2 45000102
+0 0 0 0 0 0 1 3 45000103
+0 0 0 0 0 0 1 4 45000104
+0 0 0 0 0 0 1 5 45000105
+0 0 0 0 0 0 1 6 45000106
+0 0 0 0 0 0 1 7 45000107
+0 0 0 0 0 0 1 8 45000108
+0 0 0 0 0 0 1 9 45000109
+0 0 0 0 0 0 1 10 45000110
+0 0 0 0 0 0 1 11 45000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 45000100
+1 0 0 0 0 0 1 1 45000101
+1 0 0 0 0 0 1 2 45000102
+1 0 0 0 0 0 1 3 45000103
+1 0 0 0 0 0 1 4 45000104
+1 0 0 0 0 0 1 5 45000105
+1 0 0 0 0 0 1 6 45000106
+1 0 0 0 0 0 1 7 45000107
+1 0 0 0 0 0 1 8 45000108
+1 0 0 0 0 0 1 9 45000109
+1 0 0 0 0 0 1 10 45000110
+1 0 0 0 0 0 1 11 45000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fyz.xl b/CarpetAttic/Cart3dTest/test/axial-xy/fyz.xl
new file mode 100644
index 000000000..c95ddca38
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fyz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fyz x (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 46000106
+0 0 0 0 0 1 1 6 46010106
+0 0 0 0 0 2 1 6 46020106
+0 0 0 0 0 3 1 6 46030106
+0 0 0 0 0 4 1 6 46040106
+0 0 0 0 0 5 1 6 46050106
+0 0 0 0 0 6 1 6 46060106
+0 0 0 0 0 7 1 6 46070106
+0 0 0 0 0 8 1 6 46080106
+0 0 0 0 0 9 1 6 46090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 46000106
+1 0 0 0 0 1 1 6 46010106
+1 0 0 0 0 2 1 6 46020106
+1 0 0 0 0 3 1 6 46030106
+1 0 0 0 0 4 1 6 46040106
+1 0 0 0 0 5 1 6 46050106
+1 0 0 0 0 6 1 6 46060106
+1 0 0 0 0 7 1 6 46070106
+1 0 0 0 0 8 1 6 46080106
+1 0 0 0 0 9 1 6 46090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fyz.yl b/CarpetAttic/Cart3dTest/test/axial-xy/fyz.yl
new file mode 100644
index 000000000..f33763221
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz y (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 46000006
+0 0 0 0 0 0 1 6 46000106
+0 0 0 0 0 0 2 6 46000206
+0 0 0 0 0 0 3 6 46000306
+0 0 0 0 0 0 4 6 46000406
+0 0 0 0 0 0 5 6 46000506
+0 0 0 0 0 0 6 6 46000606
+0 0 0 0 0 0 7 6 46000706
+0 0 0 0 0 0 8 6 46000806
+0 0 0 0 0 0 9 6 46000906
+0 0 0 0 0 0 10 6 46001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 -43000106
+1 0 0 0 0 0 1 6 46000106
+1 0 0 0 0 0 2 6 46000206
+1 0 0 0 0 0 3 6 46000306
+1 0 0 0 0 0 4 6 46000406
+1 0 0 0 0 0 5 6 46000506
+1 0 0 0 0 0 6 6 46000606
+1 0 0 0 0 0 7 6 46000706
+1 0 0 0 0 0 8 6 46000806
+1 0 0 0 0 0 9 6 46000906
+1 0 0 0 0 0 10 6 46001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fyz.zl b/CarpetAttic/Cart3dTest/test/axial-xy/fyz.zl
new file mode 100644
index 000000000..3078d746f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fyz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyz z (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 46000100
+0 0 0 0 0 0 1 1 46000101
+0 0 0 0 0 0 1 2 46000102
+0 0 0 0 0 0 1 3 46000103
+0 0 0 0 0 0 1 4 46000104
+0 0 0 0 0 0 1 5 46000105
+0 0 0 0 0 0 1 6 46000106
+0 0 0 0 0 0 1 7 46000107
+0 0 0 0 0 0 1 8 46000108
+0 0 0 0 0 0 1 9 46000109
+0 0 0 0 0 0 1 10 46000110
+0 0 0 0 0 0 1 11 46000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 46000100
+1 0 0 0 0 0 1 1 46000101
+1 0 0 0 0 0 1 2 46000102
+1 0 0 0 0 0 1 3 46000103
+1 0 0 0 0 0 1 4 46000104
+1 0 0 0 0 0 1 5 46000105
+1 0 0 0 0 0 1 6 46000106
+1 0 0 0 0 0 1 7 46000107
+1 0 0 0 0 0 1 8 46000108
+1 0 0 0 0 0 1 9 46000109
+1 0 0 0 0 0 1 10 46000110
+1 0 0 0 0 0 1 11 46000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fzx.xl b/CarpetAttic/Cart3dTest/test/axial-xy/fzx.xl
new file mode 100644
index 000000000..108e5485c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fzx.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fzx x (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 47000106
+0 0 0 0 0 1 1 6 47010106
+0 0 0 0 0 2 1 6 47020106
+0 0 0 0 0 3 1 6 47030106
+0 0 0 0 0 4 1 6 47040106
+0 0 0 0 0 5 1 6 47050106
+0 0 0 0 0 6 1 6 47060106
+0 0 0 0 0 7 1 6 47070106
+0 0 0 0 0 8 1 6 47080106
+0 0 0 0 0 9 1 6 47090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 47000106
+1 0 0 0 0 1 1 6 47010106
+1 0 0 0 0 2 1 6 47020106
+1 0 0 0 0 3 1 6 47030106
+1 0 0 0 0 4 1 6 47040106
+1 0 0 0 0 5 1 6 47050106
+1 0 0 0 0 6 1 6 47060106
+1 0 0 0 0 7 1 6 47070106
+1 0 0 0 0 8 1 6 47080106
+1 0 0 0 0 9 1 6 47090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fzx.yl b/CarpetAttic/Cart3dTest/test/axial-xy/fzx.yl
new file mode 100644
index 000000000..a20eb6092
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fzx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx y (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 47000006
+0 0 0 0 0 0 1 6 47000106
+0 0 0 0 0 0 2 6 47000206
+0 0 0 0 0 0 3 6 47000306
+0 0 0 0 0 0 4 6 47000406
+0 0 0 0 0 0 5 6 47000506
+0 0 0 0 0 0 6 6 47000606
+0 0 0 0 0 0 7 6 47000706
+0 0 0 0 0 0 8 6 47000806
+0 0 0 0 0 0 9 6 47000906
+0 0 0 0 0 0 10 6 47001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 48000106
+1 0 0 0 0 0 1 6 47000106
+1 0 0 0 0 0 2 6 47000206
+1 0 0 0 0 0 3 6 47000306
+1 0 0 0 0 0 4 6 47000406
+1 0 0 0 0 0 5 6 47000506
+1 0 0 0 0 0 6 6 47000606
+1 0 0 0 0 0 7 6 47000706
+1 0 0 0 0 0 8 6 47000806
+1 0 0 0 0 0 9 6 47000906
+1 0 0 0 0 0 10 6 47001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fzx.zl b/CarpetAttic/Cart3dTest/test/axial-xy/fzx.zl
new file mode 100644
index 000000000..bb13d4c8f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fzx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzx z (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 47000100
+0 0 0 0 0 0 1 1 47000101
+0 0 0 0 0 0 1 2 47000102
+0 0 0 0 0 0 1 3 47000103
+0 0 0 0 0 0 1 4 47000104
+0 0 0 0 0 0 1 5 47000105
+0 0 0 0 0 0 1 6 47000106
+0 0 0 0 0 0 1 7 47000107
+0 0 0 0 0 0 1 8 47000108
+0 0 0 0 0 0 1 9 47000109
+0 0 0 0 0 0 1 10 47000110
+0 0 0 0 0 0 1 11 47000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 47000100
+1 0 0 0 0 0 1 1 47000101
+1 0 0 0 0 0 1 2 47000102
+1 0 0 0 0 0 1 3 47000103
+1 0 0 0 0 0 1 4 47000104
+1 0 0 0 0 0 1 5 47000105
+1 0 0 0 0 0 1 6 47000106
+1 0 0 0 0 0 1 7 47000107
+1 0 0 0 0 0 1 8 47000108
+1 0 0 0 0 0 1 9 47000109
+1 0 0 0 0 0 1 10 47000110
+1 0 0 0 0 0 1 11 47000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fzy.xl b/CarpetAttic/Cart3dTest/test/axial-xy/fzy.xl
new file mode 100644
index 000000000..ae26122c4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fzy.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fzy x (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 48000106
+0 0 0 0 0 1 1 6 48010106
+0 0 0 0 0 2 1 6 48020106
+0 0 0 0 0 3 1 6 48030106
+0 0 0 0 0 4 1 6 48040106
+0 0 0 0 0 5 1 6 48050106
+0 0 0 0 0 6 1 6 48060106
+0 0 0 0 0 7 1 6 48070106
+0 0 0 0 0 8 1 6 48080106
+0 0 0 0 0 9 1 6 48090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 48000106
+1 0 0 0 0 1 1 6 48010106
+1 0 0 0 0 2 1 6 48020106
+1 0 0 0 0 3 1 6 48030106
+1 0 0 0 0 4 1 6 48040106
+1 0 0 0 0 5 1 6 48050106
+1 0 0 0 0 6 1 6 48060106
+1 0 0 0 0 7 1 6 48070106
+1 0 0 0 0 8 1 6 48080106
+1 0 0 0 0 9 1 6 48090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fzy.yl b/CarpetAttic/Cart3dTest/test/axial-xy/fzy.yl
new file mode 100644
index 000000000..9bba90ecb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fzy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy y (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 48000006
+0 0 0 0 0 0 1 6 48000106
+0 0 0 0 0 0 2 6 48000206
+0 0 0 0 0 0 3 6 48000306
+0 0 0 0 0 0 4 6 48000406
+0 0 0 0 0 0 5 6 48000506
+0 0 0 0 0 0 6 6 48000606
+0 0 0 0 0 0 7 6 48000706
+0 0 0 0 0 0 8 6 48000806
+0 0 0 0 0 0 9 6 48000906
+0 0 0 0 0 0 10 6 48001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 -47000106
+1 0 0 0 0 0 1 6 48000106
+1 0 0 0 0 0 2 6 48000206
+1 0 0 0 0 0 3 6 48000306
+1 0 0 0 0 0 4 6 48000406
+1 0 0 0 0 0 5 6 48000506
+1 0 0 0 0 0 6 6 48000606
+1 0 0 0 0 0 7 6 48000706
+1 0 0 0 0 0 8 6 48000806
+1 0 0 0 0 0 9 6 48000906
+1 0 0 0 0 0 10 6 48001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fzy.zl b/CarpetAttic/Cart3dTest/test/axial-xy/fzy.zl
new file mode 100644
index 000000000..37d01026c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fzy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzy z (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 48000100
+0 0 0 0 0 0 1 1 48000101
+0 0 0 0 0 0 1 2 48000102
+0 0 0 0 0 0 1 3 48000103
+0 0 0 0 0 0 1 4 48000104
+0 0 0 0 0 0 1 5 48000105
+0 0 0 0 0 0 1 6 48000106
+0 0 0 0 0 0 1 7 48000107
+0 0 0 0 0 0 1 8 48000108
+0 0 0 0 0 0 1 9 48000109
+0 0 0 0 0 0 1 10 48000110
+0 0 0 0 0 0 1 11 48000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 48000100
+1 0 0 0 0 0 1 1 48000101
+1 0 0 0 0 0 1 2 48000102
+1 0 0 0 0 0 1 3 48000103
+1 0 0 0 0 0 1 4 48000104
+1 0 0 0 0 0 1 5 48000105
+1 0 0 0 0 0 1 6 48000106
+1 0 0 0 0 0 1 7 48000107
+1 0 0 0 0 0 1 8 48000108
+1 0 0 0 0 0 1 9 48000109
+1 0 0 0 0 0 1 10 48000110
+1 0 0 0 0 0 1 11 48000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fzz.xl b/CarpetAttic/Cart3dTest/test/axial-xy/fzz.xl
new file mode 100644
index 000000000..73deb4328
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fzz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fzz x (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 49000106
+0 0 0 0 0 1 1 6 49010106
+0 0 0 0 0 2 1 6 49020106
+0 0 0 0 0 3 1 6 49030106
+0 0 0 0 0 4 1 6 49040106
+0 0 0 0 0 5 1 6 49050106
+0 0 0 0 0 6 1 6 49060106
+0 0 0 0 0 7 1 6 49070106
+0 0 0 0 0 8 1 6 49080106
+0 0 0 0 0 9 1 6 49090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 49000106
+1 0 0 0 0 1 1 6 49010106
+1 0 0 0 0 2 1 6 49020106
+1 0 0 0 0 3 1 6 49030106
+1 0 0 0 0 4 1 6 49040106
+1 0 0 0 0 5 1 6 49050106
+1 0 0 0 0 6 1 6 49060106
+1 0 0 0 0 7 1 6 49070106
+1 0 0 0 0 8 1 6 49080106
+1 0 0 0 0 9 1 6 49090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fzz.yl b/CarpetAttic/Cart3dTest/test/axial-xy/fzz.yl
new file mode 100644
index 000000000..951b3c33d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz y (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 49000006
+0 0 0 0 0 0 1 6 49000106
+0 0 0 0 0 0 2 6 49000206
+0 0 0 0 0 0 3 6 49000306
+0 0 0 0 0 0 4 6 49000406
+0 0 0 0 0 0 5 6 49000506
+0 0 0 0 0 0 6 6 49000606
+0 0 0 0 0 0 7 6 49000706
+0 0 0 0 0 0 8 6 49000806
+0 0 0 0 0 0 9 6 49000906
+0 0 0 0 0 0 10 6 49001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 49000106
+1 0 0 0 0 0 1 6 49000106
+1 0 0 0 0 0 2 6 49000206
+1 0 0 0 0 0 3 6 49000306
+1 0 0 0 0 0 4 6 49000406
+1 0 0 0 0 0 5 6 49000506
+1 0 0 0 0 0 6 6 49000606
+1 0 0 0 0 0 7 6 49000706
+1 0 0 0 0 0 8 6 49000806
+1 0 0 0 0 0 9 6 49000906
+1 0 0 0 0 0 10 6 49001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/fzz.zl b/CarpetAttic/Cart3dTest/test/axial-xy/fzz.zl
new file mode 100644
index 000000000..fec4209f1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/fzz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzz z (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 49000100
+0 0 0 0 0 0 1 1 49000101
+0 0 0 0 0 0 1 2 49000102
+0 0 0 0 0 0 1 3 49000103
+0 0 0 0 0 0 1 4 49000104
+0 0 0 0 0 0 1 5 49000105
+0 0 0 0 0 0 1 6 49000106
+0 0 0 0 0 0 1 7 49000107
+0 0 0 0 0 0 1 8 49000108
+0 0 0 0 0 0 1 9 49000109
+0 0 0 0 0 0 1 10 49000110
+0 0 0 0 0 0 1 11 49000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 49000100
+1 0 0 0 0 0 1 1 49000101
+1 0 0 0 0 0 1 2 49000102
+1 0 0 0 0 0 1 3 49000103
+1 0 0 0 0 0 1 4 49000104
+1 0 0 0 0 0 1 5 49000105
+1 0 0 0 0 0 1 6 49000106
+1 0 0 0 0 0 1 7 49000107
+1 0 0 0 0 0 1 8 49000108
+1 0 0 0 0 0 1 9 49000109
+1 0 0 0 0 0 1 10 49000110
+1 0 0 0 0 0 1 11 49000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/s.xl b/CarpetAttic/Cart3dTest/test/axial-xy/s.xl
new file mode 100644
index 000000000..c03c8fc65
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/s.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::s x (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 1000106
+0 0 0 0 0 1 1 6 1010106
+0 0 0 0 0 2 1 6 1020106
+0 0 0 0 0 3 1 6 1030106
+0 0 0 0 0 4 1 6 1040106
+0 0 0 0 0 5 1 6 1050106
+0 0 0 0 0 6 1 6 1060106
+0 0 0 0 0 7 1 6 1070106
+0 0 0 0 0 8 1 6 1080106
+0 0 0 0 0 9 1 6 1090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 1000106
+1 0 0 0 0 1 1 6 1010106
+1 0 0 0 0 2 1 6 1020106
+1 0 0 0 0 3 1 6 1030106
+1 0 0 0 0 4 1 6 1040106
+1 0 0 0 0 5 1 6 1050106
+1 0 0 0 0 6 1 6 1060106
+1 0 0 0 0 7 1 6 1070106
+1 0 0 0 0 8 1 6 1080106
+1 0 0 0 0 9 1 6 1090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/s.yl b/CarpetAttic/Cart3dTest/test/axial-xy/s.yl
new file mode 100644
index 000000000..938984f81
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/s.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::s y (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 1000006
+0 0 0 0 0 0 1 6 1000106
+0 0 0 0 0 0 2 6 1000206
+0 0 0 0 0 0 3 6 1000306
+0 0 0 0 0 0 4 6 1000406
+0 0 0 0 0 0 5 6 1000506
+0 0 0 0 0 0 6 6 1000606
+0 0 0 0 0 0 7 6 1000706
+0 0 0 0 0 0 8 6 1000806
+0 0 0 0 0 0 9 6 1000906
+0 0 0 0 0 0 10 6 1001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 1000106
+1 0 0 0 0 0 1 6 1000106
+1 0 0 0 0 0 2 6 1000206
+1 0 0 0 0 0 3 6 1000306
+1 0 0 0 0 0 4 6 1000406
+1 0 0 0 0 0 5 6 1000506
+1 0 0 0 0 0 6 6 1000606
+1 0 0 0 0 0 7 6 1000706
+1 0 0 0 0 0 8 6 1000806
+1 0 0 0 0 0 9 6 1000906
+1 0 0 0 0 0 10 6 1001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/s.zl b/CarpetAttic/Cart3dTest/test/axial-xy/s.zl
new file mode 100644
index 000000000..17eee5984
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/s.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::s z (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 1000100
+0 0 0 0 0 0 1 1 1000101
+0 0 0 0 0 0 1 2 1000102
+0 0 0 0 0 0 1 3 1000103
+0 0 0 0 0 0 1 4 1000104
+0 0 0 0 0 0 1 5 1000105
+0 0 0 0 0 0 1 6 1000106
+0 0 0 0 0 0 1 7 1000107
+0 0 0 0 0 0 1 8 1000108
+0 0 0 0 0 0 1 9 1000109
+0 0 0 0 0 0 1 10 1000110
+0 0 0 0 0 0 1 11 1000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 1000100
+1 0 0 0 0 0 1 1 1000101
+1 0 0 0 0 0 1 2 1000102
+1 0 0 0 0 0 1 3 1000103
+1 0 0 0 0 0 1 4 1000104
+1 0 0 0 0 0 1 5 1000105
+1 0 0 0 0 0 1 6 1000106
+1 0 0 0 0 0 1 7 1000107
+1 0 0 0 0 0 1 8 1000108
+1 0 0 0 0 0 1 9 1000109
+1 0 0 0 0 0 1 10 1000110
+1 0 0 0 0 0 1 11 1000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/axial-xy/spher3d_r.xl
new file mode 100644
index 000000000..67bc6713f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/spher3d_r.xl
@@ -0,0 +1,32 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 0.259807621135332
+0 0 0 0 0 1 1 6 0.49749371855331
+0 0 0 0 0 2 1 6 0.779422863405995
+0 0 0 0 0 3 1 6 1.07121426428143
+0 0 0 0 0 4 1 6 1.36656503687164
+0 0 0 0 0 5 1 6 1.66358047596141
+0 0 0 0 0 6 1 6 1.9615045245933
+0 0 0 0 0 7 1 6 2.2599778759979
+0 0 0 0 0 8 1 6 2.5588083163848
+0 0 0 0 0 9 1 6 2.85788383248865
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 0.259807621135332
+1 0 0 0 0 1 1 6 0.49749371855331
+1 0 0 0 0 2 1 6 0.779422863405995
+1 0 0 0 0 3 1 6 1.07121426428143
+1 0 0 0 0 4 1 6 1.36656503687164
+1 0 0 0 0 5 1 6 1.66358047596141
+1 0 0 0 0 6 1 6 1.9615045245933
+1 0 0 0 0 7 1 6 2.2599778759979
+1 0 0 0 0 8 1 6 2.5588083163848
+1 0 0 0 0 9 1 6 2.85788383248865
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/axial-xy/spher3d_r.yl
new file mode 100644
index 000000000..ab707f2aa
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/spher3d_r.yl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 0.259807621135332
+0 0 0 0 0 0 1 6 0.259807621135332
+0 0 0 0 0 0 2 6 0.49749371855331
+0 0 0 0 0 0 3 6 0.779422863405995
+0 0 0 0 0 0 4 6 1.07121426428143
+0 0 0 0 0 0 5 6 1.36656503687164
+0 0 0 0 0 0 6 6 1.66358047596141
+0 0 0 0 0 0 7 6 1.9615045245933
+0 0 0 0 0 0 8 6 2.2599778759979
+0 0 0 0 0 0 9 6 2.5588083163848
+0 0 0 0 0 0 10 6 2.85788383248865
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 0.259807621135332
+1 0 0 0 0 0 1 6 0.259807621135332
+1 0 0 0 0 0 2 6 0.49749371855331
+1 0 0 0 0 0 3 6 0.779422863405995
+1 0 0 0 0 0 4 6 1.07121426428143
+1 0 0 0 0 0 5 6 1.36656503687164
+1 0 0 0 0 0 6 6 1.66358047596141
+1 0 0 0 0 0 7 6 1.9615045245933
+1 0 0 0 0 0 8 6 2.2599778759979
+1 0 0 0 0 0 9 6 2.5588083163848
+1 0 0 0 0 0 10 6 2.85788383248865
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/axial-xy/spher3d_r.zl
new file mode 100644
index 000000000..a714f5e19
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/spher3d_r.zl
@@ -0,0 +1,36 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 1.66358047596141
+0 0 0 0 0 0 1 1 1.36656503687164
+0 0 0 0 0 0 1 2 1.07121426428143
+0 0 0 0 0 0 1 3 0.779422863405995
+0 0 0 0 0 0 1 4 0.49749371855331
+0 0 0 0 0 0 1 5 0.259807621135332
+0 0 0 0 0 0 1 6 0.259807621135332
+0 0 0 0 0 0 1 7 0.49749371855331
+0 0 0 0 0 0 1 8 0.779422863405995
+0 0 0 0 0 0 1 9 1.07121426428143
+0 0 0 0 0 0 1 10 1.36656503687164
+0 0 0 0 0 0 1 11 1.66358047596141
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 1.66358047596141
+1 0 0 0 0 0 1 1 1.36656503687164
+1 0 0 0 0 0 1 2 1.07121426428143
+1 0 0 0 0 0 1 3 0.779422863405995
+1 0 0 0 0 0 1 4 0.49749371855331
+1 0 0 0 0 0 1 5 0.259807621135332
+1 0 0 0 0 0 1 6 0.259807621135332
+1 0 0 0 0 0 1 7 0.49749371855331
+1 0 0 0 0 0 1 8 0.779422863405995
+1 0 0 0 0 0 1 9 1.07121426428143
+1 0 0 0 0 0 1 10 1.36656503687164
+1 0 0 0 0 0 1 11 1.66358047596141
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/txx.xl b/CarpetAttic/Cart3dTest/test/axial-xy/txx.xl
new file mode 100644
index 000000000..d1ae8388e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/txx.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::txx x (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 21000106
+0 0 0 0 0 1 1 6 21010106
+0 0 0 0 0 2 1 6 21020106
+0 0 0 0 0 3 1 6 21030106
+0 0 0 0 0 4 1 6 21040106
+0 0 0 0 0 5 1 6 21050106
+0 0 0 0 0 6 1 6 21060106
+0 0 0 0 0 7 1 6 21070106
+0 0 0 0 0 8 1 6 21080106
+0 0 0 0 0 9 1 6 21090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 21000106
+1 0 0 0 0 1 1 6 21010106
+1 0 0 0 0 2 1 6 21020106
+1 0 0 0 0 3 1 6 21030106
+1 0 0 0 0 4 1 6 21040106
+1 0 0 0 0 5 1 6 21050106
+1 0 0 0 0 6 1 6 21060106
+1 0 0 0 0 7 1 6 21070106
+1 0 0 0 0 8 1 6 21080106
+1 0 0 0 0 9 1 6 21090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/txx.yl b/CarpetAttic/Cart3dTest/test/axial-xy/txx.yl
new file mode 100644
index 000000000..58907522d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/txx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx y (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 21000006
+0 0 0 0 0 0 1 6 21000106
+0 0 0 0 0 0 2 6 21000206
+0 0 0 0 0 0 3 6 21000306
+0 0 0 0 0 0 4 6 21000406
+0 0 0 0 0 0 5 6 21000506
+0 0 0 0 0 0 6 6 21000606
+0 0 0 0 0 0 7 6 21000706
+0 0 0 0 0 0 8 6 21000806
+0 0 0 0 0 0 9 6 21000906
+0 0 0 0 0 0 10 6 21001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 24000106
+1 0 0 0 0 0 1 6 21000106
+1 0 0 0 0 0 2 6 21000206
+1 0 0 0 0 0 3 6 21000306
+1 0 0 0 0 0 4 6 21000406
+1 0 0 0 0 0 5 6 21000506
+1 0 0 0 0 0 6 6 21000606
+1 0 0 0 0 0 7 6 21000706
+1 0 0 0 0 0 8 6 21000806
+1 0 0 0 0 0 9 6 21000906
+1 0 0 0 0 0 10 6 21001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/txx.zl b/CarpetAttic/Cart3dTest/test/axial-xy/txx.zl
new file mode 100644
index 000000000..0eda09585
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/txx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::txx z (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 21000100
+0 0 0 0 0 0 1 1 21000101
+0 0 0 0 0 0 1 2 21000102
+0 0 0 0 0 0 1 3 21000103
+0 0 0 0 0 0 1 4 21000104
+0 0 0 0 0 0 1 5 21000105
+0 0 0 0 0 0 1 6 21000106
+0 0 0 0 0 0 1 7 21000107
+0 0 0 0 0 0 1 8 21000108
+0 0 0 0 0 0 1 9 21000109
+0 0 0 0 0 0 1 10 21000110
+0 0 0 0 0 0 1 11 21000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 21000100
+1 0 0 0 0 0 1 1 21000101
+1 0 0 0 0 0 1 2 21000102
+1 0 0 0 0 0 1 3 21000103
+1 0 0 0 0 0 1 4 21000104
+1 0 0 0 0 0 1 5 21000105
+1 0 0 0 0 0 1 6 21000106
+1 0 0 0 0 0 1 7 21000107
+1 0 0 0 0 0 1 8 21000108
+1 0 0 0 0 0 1 9 21000109
+1 0 0 0 0 0 1 10 21000110
+1 0 0 0 0 0 1 11 21000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/txy.xl b/CarpetAttic/Cart3dTest/test/axial-xy/txy.xl
new file mode 100644
index 000000000..db85f4483
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/txy.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::txy x (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 22000106
+0 0 0 0 0 1 1 6 22010106
+0 0 0 0 0 2 1 6 22020106
+0 0 0 0 0 3 1 6 22030106
+0 0 0 0 0 4 1 6 22040106
+0 0 0 0 0 5 1 6 22050106
+0 0 0 0 0 6 1 6 22060106
+0 0 0 0 0 7 1 6 22070106
+0 0 0 0 0 8 1 6 22080106
+0 0 0 0 0 9 1 6 22090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 22000106
+1 0 0 0 0 1 1 6 22010106
+1 0 0 0 0 2 1 6 22020106
+1 0 0 0 0 3 1 6 22030106
+1 0 0 0 0 4 1 6 22040106
+1 0 0 0 0 5 1 6 22050106
+1 0 0 0 0 6 1 6 22060106
+1 0 0 0 0 7 1 6 22070106
+1 0 0 0 0 8 1 6 22080106
+1 0 0 0 0 9 1 6 22090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/txy.yl b/CarpetAttic/Cart3dTest/test/axial-xy/txy.yl
new file mode 100644
index 000000000..417aa39fe
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/txy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy y (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 22000006
+0 0 0 0 0 0 1 6 22000106
+0 0 0 0 0 0 2 6 22000206
+0 0 0 0 0 0 3 6 22000306
+0 0 0 0 0 0 4 6 22000406
+0 0 0 0 0 0 5 6 22000506
+0 0 0 0 0 0 6 6 22000606
+0 0 0 0 0 0 7 6 22000706
+0 0 0 0 0 0 8 6 22000806
+0 0 0 0 0 0 9 6 22000906
+0 0 0 0 0 0 10 6 22001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 -22000106
+1 0 0 0 0 0 1 6 22000106
+1 0 0 0 0 0 2 6 22000206
+1 0 0 0 0 0 3 6 22000306
+1 0 0 0 0 0 4 6 22000406
+1 0 0 0 0 0 5 6 22000506
+1 0 0 0 0 0 6 6 22000606
+1 0 0 0 0 0 7 6 22000706
+1 0 0 0 0 0 8 6 22000806
+1 0 0 0 0 0 9 6 22000906
+1 0 0 0 0 0 10 6 22001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/txy.zl b/CarpetAttic/Cart3dTest/test/axial-xy/txy.zl
new file mode 100644
index 000000000..714ee628b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/txy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::txy z (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 22000100
+0 0 0 0 0 0 1 1 22000101
+0 0 0 0 0 0 1 2 22000102
+0 0 0 0 0 0 1 3 22000103
+0 0 0 0 0 0 1 4 22000104
+0 0 0 0 0 0 1 5 22000105
+0 0 0 0 0 0 1 6 22000106
+0 0 0 0 0 0 1 7 22000107
+0 0 0 0 0 0 1 8 22000108
+0 0 0 0 0 0 1 9 22000109
+0 0 0 0 0 0 1 10 22000110
+0 0 0 0 0 0 1 11 22000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 22000100
+1 0 0 0 0 0 1 1 22000101
+1 0 0 0 0 0 1 2 22000102
+1 0 0 0 0 0 1 3 22000103
+1 0 0 0 0 0 1 4 22000104
+1 0 0 0 0 0 1 5 22000105
+1 0 0 0 0 0 1 6 22000106
+1 0 0 0 0 0 1 7 22000107
+1 0 0 0 0 0 1 8 22000108
+1 0 0 0 0 0 1 9 22000109
+1 0 0 0 0 0 1 10 22000110
+1 0 0 0 0 0 1 11 22000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/txz.xl b/CarpetAttic/Cart3dTest/test/axial-xy/txz.xl
new file mode 100644
index 000000000..4960e5e81
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/txz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::txz x (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 23000106
+0 0 0 0 0 1 1 6 23010106
+0 0 0 0 0 2 1 6 23020106
+0 0 0 0 0 3 1 6 23030106
+0 0 0 0 0 4 1 6 23040106
+0 0 0 0 0 5 1 6 23050106
+0 0 0 0 0 6 1 6 23060106
+0 0 0 0 0 7 1 6 23070106
+0 0 0 0 0 8 1 6 23080106
+0 0 0 0 0 9 1 6 23090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 23000106
+1 0 0 0 0 1 1 6 23010106
+1 0 0 0 0 2 1 6 23020106
+1 0 0 0 0 3 1 6 23030106
+1 0 0 0 0 4 1 6 23040106
+1 0 0 0 0 5 1 6 23050106
+1 0 0 0 0 6 1 6 23060106
+1 0 0 0 0 7 1 6 23070106
+1 0 0 0 0 8 1 6 23080106
+1 0 0 0 0 9 1 6 23090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/txz.yl b/CarpetAttic/Cart3dTest/test/axial-xy/txz.yl
new file mode 100644
index 000000000..7e347543a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/txz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz y (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 23000006
+0 0 0 0 0 0 1 6 23000106
+0 0 0 0 0 0 2 6 23000206
+0 0 0 0 0 0 3 6 23000306
+0 0 0 0 0 0 4 6 23000406
+0 0 0 0 0 0 5 6 23000506
+0 0 0 0 0 0 6 6 23000606
+0 0 0 0 0 0 7 6 23000706
+0 0 0 0 0 0 8 6 23000806
+0 0 0 0 0 0 9 6 23000906
+0 0 0 0 0 0 10 6 23001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 25000106
+1 0 0 0 0 0 1 6 23000106
+1 0 0 0 0 0 2 6 23000206
+1 0 0 0 0 0 3 6 23000306
+1 0 0 0 0 0 4 6 23000406
+1 0 0 0 0 0 5 6 23000506
+1 0 0 0 0 0 6 6 23000606
+1 0 0 0 0 0 7 6 23000706
+1 0 0 0 0 0 8 6 23000806
+1 0 0 0 0 0 9 6 23000906
+1 0 0 0 0 0 10 6 23001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/txz.zl b/CarpetAttic/Cart3dTest/test/axial-xy/txz.zl
new file mode 100644
index 000000000..932c2df46
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/txz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::txz z (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 23000100
+0 0 0 0 0 0 1 1 23000101
+0 0 0 0 0 0 1 2 23000102
+0 0 0 0 0 0 1 3 23000103
+0 0 0 0 0 0 1 4 23000104
+0 0 0 0 0 0 1 5 23000105
+0 0 0 0 0 0 1 6 23000106
+0 0 0 0 0 0 1 7 23000107
+0 0 0 0 0 0 1 8 23000108
+0 0 0 0 0 0 1 9 23000109
+0 0 0 0 0 0 1 10 23000110
+0 0 0 0 0 0 1 11 23000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 23000100
+1 0 0 0 0 0 1 1 23000101
+1 0 0 0 0 0 1 2 23000102
+1 0 0 0 0 0 1 3 23000103
+1 0 0 0 0 0 1 4 23000104
+1 0 0 0 0 0 1 5 23000105
+1 0 0 0 0 0 1 6 23000106
+1 0 0 0 0 0 1 7 23000107
+1 0 0 0 0 0 1 8 23000108
+1 0 0 0 0 0 1 9 23000109
+1 0 0 0 0 0 1 10 23000110
+1 0 0 0 0 0 1 11 23000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/tyy.xl b/CarpetAttic/Cart3dTest/test/axial-xy/tyy.xl
new file mode 100644
index 000000000..449cfb09b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/tyy.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::tyy x (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 24000106
+0 0 0 0 0 1 1 6 24010106
+0 0 0 0 0 2 1 6 24020106
+0 0 0 0 0 3 1 6 24030106
+0 0 0 0 0 4 1 6 24040106
+0 0 0 0 0 5 1 6 24050106
+0 0 0 0 0 6 1 6 24060106
+0 0 0 0 0 7 1 6 24070106
+0 0 0 0 0 8 1 6 24080106
+0 0 0 0 0 9 1 6 24090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 24000106
+1 0 0 0 0 1 1 6 24010106
+1 0 0 0 0 2 1 6 24020106
+1 0 0 0 0 3 1 6 24030106
+1 0 0 0 0 4 1 6 24040106
+1 0 0 0 0 5 1 6 24050106
+1 0 0 0 0 6 1 6 24060106
+1 0 0 0 0 7 1 6 24070106
+1 0 0 0 0 8 1 6 24080106
+1 0 0 0 0 9 1 6 24090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/tyy.yl b/CarpetAttic/Cart3dTest/test/axial-xy/tyy.yl
new file mode 100644
index 000000000..c536b5262
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/tyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy y (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 24000006
+0 0 0 0 0 0 1 6 24000106
+0 0 0 0 0 0 2 6 24000206
+0 0 0 0 0 0 3 6 24000306
+0 0 0 0 0 0 4 6 24000406
+0 0 0 0 0 0 5 6 24000506
+0 0 0 0 0 0 6 6 24000606
+0 0 0 0 0 0 7 6 24000706
+0 0 0 0 0 0 8 6 24000806
+0 0 0 0 0 0 9 6 24000906
+0 0 0 0 0 0 10 6 24001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 21000106
+1 0 0 0 0 0 1 6 24000106
+1 0 0 0 0 0 2 6 24000206
+1 0 0 0 0 0 3 6 24000306
+1 0 0 0 0 0 4 6 24000406
+1 0 0 0 0 0 5 6 24000506
+1 0 0 0 0 0 6 6 24000606
+1 0 0 0 0 0 7 6 24000706
+1 0 0 0 0 0 8 6 24000806
+1 0 0 0 0 0 9 6 24000906
+1 0 0 0 0 0 10 6 24001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/tyy.zl b/CarpetAttic/Cart3dTest/test/axial-xy/tyy.zl
new file mode 100644
index 000000000..e6ceeb100
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/tyy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::tyy z (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 24000100
+0 0 0 0 0 0 1 1 24000101
+0 0 0 0 0 0 1 2 24000102
+0 0 0 0 0 0 1 3 24000103
+0 0 0 0 0 0 1 4 24000104
+0 0 0 0 0 0 1 5 24000105
+0 0 0 0 0 0 1 6 24000106
+0 0 0 0 0 0 1 7 24000107
+0 0 0 0 0 0 1 8 24000108
+0 0 0 0 0 0 1 9 24000109
+0 0 0 0 0 0 1 10 24000110
+0 0 0 0 0 0 1 11 24000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 24000100
+1 0 0 0 0 0 1 1 24000101
+1 0 0 0 0 0 1 2 24000102
+1 0 0 0 0 0 1 3 24000103
+1 0 0 0 0 0 1 4 24000104
+1 0 0 0 0 0 1 5 24000105
+1 0 0 0 0 0 1 6 24000106
+1 0 0 0 0 0 1 7 24000107
+1 0 0 0 0 0 1 8 24000108
+1 0 0 0 0 0 1 9 24000109
+1 0 0 0 0 0 1 10 24000110
+1 0 0 0 0 0 1 11 24000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/tyz.xl b/CarpetAttic/Cart3dTest/test/axial-xy/tyz.xl
new file mode 100644
index 000000000..f60bbc09b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/tyz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::tyz x (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 25000106
+0 0 0 0 0 1 1 6 25010106
+0 0 0 0 0 2 1 6 25020106
+0 0 0 0 0 3 1 6 25030106
+0 0 0 0 0 4 1 6 25040106
+0 0 0 0 0 5 1 6 25050106
+0 0 0 0 0 6 1 6 25060106
+0 0 0 0 0 7 1 6 25070106
+0 0 0 0 0 8 1 6 25080106
+0 0 0 0 0 9 1 6 25090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 25000106
+1 0 0 0 0 1 1 6 25010106
+1 0 0 0 0 2 1 6 25020106
+1 0 0 0 0 3 1 6 25030106
+1 0 0 0 0 4 1 6 25040106
+1 0 0 0 0 5 1 6 25050106
+1 0 0 0 0 6 1 6 25060106
+1 0 0 0 0 7 1 6 25070106
+1 0 0 0 0 8 1 6 25080106
+1 0 0 0 0 9 1 6 25090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/tyz.yl b/CarpetAttic/Cart3dTest/test/axial-xy/tyz.yl
new file mode 100644
index 000000000..1a17d43e6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/tyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz y (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 25000006
+0 0 0 0 0 0 1 6 25000106
+0 0 0 0 0 0 2 6 25000206
+0 0 0 0 0 0 3 6 25000306
+0 0 0 0 0 0 4 6 25000406
+0 0 0 0 0 0 5 6 25000506
+0 0 0 0 0 0 6 6 25000606
+0 0 0 0 0 0 7 6 25000706
+0 0 0 0 0 0 8 6 25000806
+0 0 0 0 0 0 9 6 25000906
+0 0 0 0 0 0 10 6 25001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 -23000106
+1 0 0 0 0 0 1 6 25000106
+1 0 0 0 0 0 2 6 25000206
+1 0 0 0 0 0 3 6 25000306
+1 0 0 0 0 0 4 6 25000406
+1 0 0 0 0 0 5 6 25000506
+1 0 0 0 0 0 6 6 25000606
+1 0 0 0 0 0 7 6 25000706
+1 0 0 0 0 0 8 6 25000806
+1 0 0 0 0 0 9 6 25000906
+1 0 0 0 0 0 10 6 25001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/tyz.zl b/CarpetAttic/Cart3dTest/test/axial-xy/tyz.zl
new file mode 100644
index 000000000..563801ad3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/tyz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::tyz z (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 25000100
+0 0 0 0 0 0 1 1 25000101
+0 0 0 0 0 0 1 2 25000102
+0 0 0 0 0 0 1 3 25000103
+0 0 0 0 0 0 1 4 25000104
+0 0 0 0 0 0 1 5 25000105
+0 0 0 0 0 0 1 6 25000106
+0 0 0 0 0 0 1 7 25000107
+0 0 0 0 0 0 1 8 25000108
+0 0 0 0 0 0 1 9 25000109
+0 0 0 0 0 0 1 10 25000110
+0 0 0 0 0 0 1 11 25000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 25000100
+1 0 0 0 0 0 1 1 25000101
+1 0 0 0 0 0 1 2 25000102
+1 0 0 0 0 0 1 3 25000103
+1 0 0 0 0 0 1 4 25000104
+1 0 0 0 0 0 1 5 25000105
+1 0 0 0 0 0 1 6 25000106
+1 0 0 0 0 0 1 7 25000107
+1 0 0 0 0 0 1 8 25000108
+1 0 0 0 0 0 1 9 25000109
+1 0 0 0 0 0 1 10 25000110
+1 0 0 0 0 0 1 11 25000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/tzz.xl b/CarpetAttic/Cart3dTest/test/axial-xy/tzz.xl
new file mode 100644
index 000000000..a2e6fb65f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/tzz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::tzz x (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 26000106
+0 0 0 0 0 1 1 6 26010106
+0 0 0 0 0 2 1 6 26020106
+0 0 0 0 0 3 1 6 26030106
+0 0 0 0 0 4 1 6 26040106
+0 0 0 0 0 5 1 6 26050106
+0 0 0 0 0 6 1 6 26060106
+0 0 0 0 0 7 1 6 26070106
+0 0 0 0 0 8 1 6 26080106
+0 0 0 0 0 9 1 6 26090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 26000106
+1 0 0 0 0 1 1 6 26010106
+1 0 0 0 0 2 1 6 26020106
+1 0 0 0 0 3 1 6 26030106
+1 0 0 0 0 4 1 6 26040106
+1 0 0 0 0 5 1 6 26050106
+1 0 0 0 0 6 1 6 26060106
+1 0 0 0 0 7 1 6 26070106
+1 0 0 0 0 8 1 6 26080106
+1 0 0 0 0 9 1 6 26090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/tzz.yl b/CarpetAttic/Cart3dTest/test/axial-xy/tzz.yl
new file mode 100644
index 000000000..4cf44a850
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/tzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz y (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 26000006
+0 0 0 0 0 0 1 6 26000106
+0 0 0 0 0 0 2 6 26000206
+0 0 0 0 0 0 3 6 26000306
+0 0 0 0 0 0 4 6 26000406
+0 0 0 0 0 0 5 6 26000506
+0 0 0 0 0 0 6 6 26000606
+0 0 0 0 0 0 7 6 26000706
+0 0 0 0 0 0 8 6 26000806
+0 0 0 0 0 0 9 6 26000906
+0 0 0 0 0 0 10 6 26001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 26000106
+1 0 0 0 0 0 1 6 26000106
+1 0 0 0 0 0 2 6 26000206
+1 0 0 0 0 0 3 6 26000306
+1 0 0 0 0 0 4 6 26000406
+1 0 0 0 0 0 5 6 26000506
+1 0 0 0 0 0 6 6 26000606
+1 0 0 0 0 0 7 6 26000706
+1 0 0 0 0 0 8 6 26000806
+1 0 0 0 0 0 9 6 26000906
+1 0 0 0 0 0 10 6 26001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/tzz.zl b/CarpetAttic/Cart3dTest/test/axial-xy/tzz.zl
new file mode 100644
index 000000000..212fddec9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/tzz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::tzz z (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 26000100
+0 0 0 0 0 0 1 1 26000101
+0 0 0 0 0 0 1 2 26000102
+0 0 0 0 0 0 1 3 26000103
+0 0 0 0 0 0 1 4 26000104
+0 0 0 0 0 0 1 5 26000105
+0 0 0 0 0 0 1 6 26000106
+0 0 0 0 0 0 1 7 26000107
+0 0 0 0 0 0 1 8 26000108
+0 0 0 0 0 0 1 9 26000109
+0 0 0 0 0 0 1 10 26000110
+0 0 0 0 0 0 1 11 26000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 26000100
+1 0 0 0 0 0 1 1 26000101
+1 0 0 0 0 0 1 2 26000102
+1 0 0 0 0 0 1 3 26000103
+1 0 0 0 0 0 1 4 26000104
+1 0 0 0 0 0 1 5 26000105
+1 0 0 0 0 0 1 6 26000106
+1 0 0 0 0 0 1 7 26000107
+1 0 0 0 0 0 1 8 26000108
+1 0 0 0 0 0 1 9 26000109
+1 0 0 0 0 0 1 10 26000110
+1 0 0 0 0 0 1 11 26000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/vx.xl b/CarpetAttic/Cart3dTest/test/axial-xy/vx.xl
new file mode 100644
index 000000000..1f0449057
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/vx.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 11000106
+0 0 0 0 0 1 1 6 11010106
+0 0 0 0 0 2 1 6 11020106
+0 0 0 0 0 3 1 6 11030106
+0 0 0 0 0 4 1 6 11040106
+0 0 0 0 0 5 1 6 11050106
+0 0 0 0 0 6 1 6 11060106
+0 0 0 0 0 7 1 6 11070106
+0 0 0 0 0 8 1 6 11080106
+0 0 0 0 0 9 1 6 11090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 11000106
+1 0 0 0 0 1 1 6 11010106
+1 0 0 0 0 2 1 6 11020106
+1 0 0 0 0 3 1 6 11030106
+1 0 0 0 0 4 1 6 11040106
+1 0 0 0 0 5 1 6 11050106
+1 0 0 0 0 6 1 6 11060106
+1 0 0 0 0 7 1 6 11070106
+1 0 0 0 0 8 1 6 11080106
+1 0 0 0 0 9 1 6 11090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/vx.yl b/CarpetAttic/Cart3dTest/test/axial-xy/vx.yl
new file mode 100644
index 000000000..241b0faf8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/vx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 11000006
+0 0 0 0 0 0 1 6 11000106
+0 0 0 0 0 0 2 6 11000206
+0 0 0 0 0 0 3 6 11000306
+0 0 0 0 0 0 4 6 11000406
+0 0 0 0 0 0 5 6 11000506
+0 0 0 0 0 0 6 6 11000606
+0 0 0 0 0 0 7 6 11000706
+0 0 0 0 0 0 8 6 11000806
+0 0 0 0 0 0 9 6 11000906
+0 0 0 0 0 0 10 6 11001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 12000106
+1 0 0 0 0 0 1 6 11000106
+1 0 0 0 0 0 2 6 11000206
+1 0 0 0 0 0 3 6 11000306
+1 0 0 0 0 0 4 6 11000406
+1 0 0 0 0 0 5 6 11000506
+1 0 0 0 0 0 6 6 11000606
+1 0 0 0 0 0 7 6 11000706
+1 0 0 0 0 0 8 6 11000806
+1 0 0 0 0 0 9 6 11000906
+1 0 0 0 0 0 10 6 11001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/vx.zl b/CarpetAttic/Cart3dTest/test/axial-xy/vx.zl
new file mode 100644
index 000000000..8cbc4601b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/vx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 11000100
+0 0 0 0 0 0 1 1 11000101
+0 0 0 0 0 0 1 2 11000102
+0 0 0 0 0 0 1 3 11000103
+0 0 0 0 0 0 1 4 11000104
+0 0 0 0 0 0 1 5 11000105
+0 0 0 0 0 0 1 6 11000106
+0 0 0 0 0 0 1 7 11000107
+0 0 0 0 0 0 1 8 11000108
+0 0 0 0 0 0 1 9 11000109
+0 0 0 0 0 0 1 10 11000110
+0 0 0 0 0 0 1 11 11000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 11000100
+1 0 0 0 0 0 1 1 11000101
+1 0 0 0 0 0 1 2 11000102
+1 0 0 0 0 0 1 3 11000103
+1 0 0 0 0 0 1 4 11000104
+1 0 0 0 0 0 1 5 11000105
+1 0 0 0 0 0 1 6 11000106
+1 0 0 0 0 0 1 7 11000107
+1 0 0 0 0 0 1 8 11000108
+1 0 0 0 0 0 1 9 11000109
+1 0 0 0 0 0 1 10 11000110
+1 0 0 0 0 0 1 11 11000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/vy.xl b/CarpetAttic/Cart3dTest/test/axial-xy/vy.xl
new file mode 100644
index 000000000..afea29a20
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/vy.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 12000106
+0 0 0 0 0 1 1 6 12010106
+0 0 0 0 0 2 1 6 12020106
+0 0 0 0 0 3 1 6 12030106
+0 0 0 0 0 4 1 6 12040106
+0 0 0 0 0 5 1 6 12050106
+0 0 0 0 0 6 1 6 12060106
+0 0 0 0 0 7 1 6 12070106
+0 0 0 0 0 8 1 6 12080106
+0 0 0 0 0 9 1 6 12090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 12000106
+1 0 0 0 0 1 1 6 12010106
+1 0 0 0 0 2 1 6 12020106
+1 0 0 0 0 3 1 6 12030106
+1 0 0 0 0 4 1 6 12040106
+1 0 0 0 0 5 1 6 12050106
+1 0 0 0 0 6 1 6 12060106
+1 0 0 0 0 7 1 6 12070106
+1 0 0 0 0 8 1 6 12080106
+1 0 0 0 0 9 1 6 12090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/vy.yl b/CarpetAttic/Cart3dTest/test/axial-xy/vy.yl
new file mode 100644
index 000000000..1dd88e42c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/vy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 12000006
+0 0 0 0 0 0 1 6 12000106
+0 0 0 0 0 0 2 6 12000206
+0 0 0 0 0 0 3 6 12000306
+0 0 0 0 0 0 4 6 12000406
+0 0 0 0 0 0 5 6 12000506
+0 0 0 0 0 0 6 6 12000606
+0 0 0 0 0 0 7 6 12000706
+0 0 0 0 0 0 8 6 12000806
+0 0 0 0 0 0 9 6 12000906
+0 0 0 0 0 0 10 6 12001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 -11000106
+1 0 0 0 0 0 1 6 12000106
+1 0 0 0 0 0 2 6 12000206
+1 0 0 0 0 0 3 6 12000306
+1 0 0 0 0 0 4 6 12000406
+1 0 0 0 0 0 5 6 12000506
+1 0 0 0 0 0 6 6 12000606
+1 0 0 0 0 0 7 6 12000706
+1 0 0 0 0 0 8 6 12000806
+1 0 0 0 0 0 9 6 12000906
+1 0 0 0 0 0 10 6 12001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/vy.zl b/CarpetAttic/Cart3dTest/test/axial-xy/vy.zl
new file mode 100644
index 000000000..bfcf8fee5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/vy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 12000100
+0 0 0 0 0 0 1 1 12000101
+0 0 0 0 0 0 1 2 12000102
+0 0 0 0 0 0 1 3 12000103
+0 0 0 0 0 0 1 4 12000104
+0 0 0 0 0 0 1 5 12000105
+0 0 0 0 0 0 1 6 12000106
+0 0 0 0 0 0 1 7 12000107
+0 0 0 0 0 0 1 8 12000108
+0 0 0 0 0 0 1 9 12000109
+0 0 0 0 0 0 1 10 12000110
+0 0 0 0 0 0 1 11 12000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 12000100
+1 0 0 0 0 0 1 1 12000101
+1 0 0 0 0 0 1 2 12000102
+1 0 0 0 0 0 1 3 12000103
+1 0 0 0 0 0 1 4 12000104
+1 0 0 0 0 0 1 5 12000105
+1 0 0 0 0 0 1 6 12000106
+1 0 0 0 0 0 1 7 12000107
+1 0 0 0 0 0 1 8 12000108
+1 0 0 0 0 0 1 9 12000109
+1 0 0 0 0 0 1 10 12000110
+1 0 0 0 0 0 1 11 12000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/vz.xl b/CarpetAttic/Cart3dTest/test/axial-xy/vz.xl
new file mode 100644
index 000000000..23a7cd992
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/vz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 6 13000106
+0 0 0 0 0 1 1 6 13010106
+0 0 0 0 0 2 1 6 13020106
+0 0 0 0 0 3 1 6 13030106
+0 0 0 0 0 4 1 6 13040106
+0 0 0 0 0 5 1 6 13050106
+0 0 0 0 0 6 1 6 13060106
+0 0 0 0 0 7 1 6 13070106
+0 0 0 0 0 8 1 6 13080106
+0 0 0 0 0 9 1 6 13090106
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 6 13000106
+1 0 0 0 0 1 1 6 13010106
+1 0 0 0 0 2 1 6 13020106
+1 0 0 0 0 3 1 6 13030106
+1 0 0 0 0 4 1 6 13040106
+1 0 0 0 0 5 1 6 13050106
+1 0 0 0 0 6 1 6 13060106
+1 0 0 0 0 7 1 6 13070106
+1 0 0 0 0 8 1 6 13080106
+1 0 0 0 0 9 1 6 13090106
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/vz.yl b/CarpetAttic/Cart3dTest/test/axial-xy/vz.yl
new file mode 100644
index 000000000..d3e3b7c36
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/vz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 6 13000006
+0 0 0 0 0 0 1 6 13000106
+0 0 0 0 0 0 2 6 13000206
+0 0 0 0 0 0 3 6 13000306
+0 0 0 0 0 0 4 6 13000406
+0 0 0 0 0 0 5 6 13000506
+0 0 0 0 0 0 6 6 13000606
+0 0 0 0 0 0 7 6 13000706
+0 0 0 0 0 0 8 6 13000806
+0 0 0 0 0 0 9 6 13000906
+0 0 0 0 0 0 10 6 13001006
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 6 13000106
+1 0 0 0 0 0 1 6 13000106
+1 0 0 0 0 0 2 6 13000206
+1 0 0 0 0 0 3 6 13000306
+1 0 0 0 0 0 4 6 13000406
+1 0 0 0 0 0 5 6 13000506
+1 0 0 0 0 0 6 6 13000606
+1 0 0 0 0 0 7 6 13000706
+1 0 0 0 0 0 8 6 13000806
+1 0 0 0 0 0 9 6 13000906
+1 0 0 0 0 0 10 6 13001006
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xy/vz.zl b/CarpetAttic/Cart3dTest/test/axial-xy/vz.zl
new file mode 100644
index 000000000..4dcc04892
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xy/vz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 13000100
+0 0 0 0 0 0 1 1 13000101
+0 0 0 0 0 0 1 2 13000102
+0 0 0 0 0 0 1 3 13000103
+0 0 0 0 0 0 1 4 13000104
+0 0 0 0 0 0 1 5 13000105
+0 0 0 0 0 0 1 6 13000106
+0 0 0 0 0 0 1 7 13000107
+0 0 0 0 0 0 1 8 13000108
+0 0 0 0 0 0 1 9 13000109
+0 0 0 0 0 0 1 10 13000110
+0 0 0 0 0 0 1 11 13000111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 13000100
+1 0 0 0 0 0 1 1 13000101
+1 0 0 0 0 0 1 2 13000102
+1 0 0 0 0 0 1 3 13000103
+1 0 0 0 0 0 1 4 13000104
+1 0 0 0 0 0 1 5 13000105
+1 0 0 0 0 0 1 6 13000106
+1 0 0 0 0 0 1 7 13000107
+1 0 0 0 0 0 1 8 13000108
+1 0 0 0 0 0 1 9 13000109
+1 0 0 0 0 0 1 10 13000110
+1 0 0 0 0 0 1 11 13000111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz.log b/CarpetAttic/Cart3dTest/test/axial-xz.log
new file mode 100644
index 000000000..c9d132499
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz.log
@@ -0,0 +1,97 @@
+--------------------------------------------------------------------------------
+
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+
+Cactus version: 4.0.b11
+Compile date: Dec 14 2001 (21:50:34)
+Run date: Dec 14 2001 (21:51:05)
+Run host: lilypond.tat.physik.uni-tuebingen.de
+Parameter file: /home/eschnett/Calpha/Cactus/arrangements/Carpet/Cart3dTest/test/axial-xz.par
+--------------------------------------------------------------------------------
+
+Activating thorn Cactus...Success -> active implementation Cactus
+Activation requested for
+--->CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest<---
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+--------------------------------------------------------------------------------
+ if (recover)
+ Recover parameters
+ endif
+
+ Startup routines
+ Carpet: Startup routine
+ IOUtil: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOBasic: Startup routine
+ CarpetIOASCII: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+ if (recover)
+ endif
+ if (checkpoint initial data)
+ endif
+ if (analysis)
+ endif
+
+ do loop over timesteps
+ Rotate timelevels
+ iteration = iteration + 1
+ t = t+dt
+ Cart3dTest: Apply symmetry boundary conditions
+ if (checkpoint)
+ endif
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+INFO (Carpet): Carpet is running on 1 processors
+INFO (IOBasic): I/O Method 'Scalar' registered
+INFO (IOBasic): Scalar: Output of scalar quantities (grid scalars, reductions) to ASCII files
+INFO (IOBasic): I/O Method 'Info' registered
+INFO (IOBasic): Info: Output of scalar quantities (grid scalars, reductions) to screen
+INFO (Cart3d): Cartesian coordinates:
+INFO (Cart3d): Whole grid: lower bound [0.15, -1.35, -0.45]
+INFO (Cart3d): Whole grid: upper bound [2.85, 1.65, 2.85]
+INFO (Cart3d): Whole grid: extent [3, 3.3, 3.6]
+INFO (Cart3d): Interior: lower bound [0.15, -1.05, 0.15]
+INFO (Cart3d): Interior: upper bound [2.85, 1.35, 2.25]
+INFO (Cart3d): Interior: extent [3, 2.7, 2.4]
+INFO (Cart3d): Grid spacing: [0.3, 0.3, 0.3]
+INFO (IOBasic): Scalar: Output every -1 iterations
+INFO (IOBasic): Info: Output every -1 iterations
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz.par b/CarpetAttic/Cart3dTest/test/axial-xz.par
new file mode 100644
index 000000000..d4f91aa70
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz.par
@@ -0,0 +1,21 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/axial-xz.par,v 1.5 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 1
+
+grid::type = "byspacing"
+grid::mode_xz = "axial"
+
+driver::global_nx = 10
+driver::global_ny = 11
+driver::global_nz = 12
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "axial-xz"
+IOASCII::out1D_vars = "grid::coordinates Cart3dTest::quantities"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/ax.xl b/CarpetAttic/Cart3dTest/test/axial-xz/ax.xl
new file mode 100644
index 000000000..7996e4a40
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/ax.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::ax x (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 31000502
+0 0 0 0 0 1 5 2 31010502
+0 0 0 0 0 2 5 2 31020502
+0 0 0 0 0 3 5 2 31030502
+0 0 0 0 0 4 5 2 31040502
+0 0 0 0 0 5 5 2 31050502
+0 0 0 0 0 6 5 2 31060502
+0 0 0 0 0 7 5 2 31070502
+0 0 0 0 0 8 5 2 31080502
+0 0 0 0 0 9 5 2 31090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 31000502
+1 0 0 0 0 1 5 2 31010502
+1 0 0 0 0 2 5 2 31020502
+1 0 0 0 0 3 5 2 31030502
+1 0 0 0 0 4 5 2 31040502
+1 0 0 0 0 5 5 2 31050502
+1 0 0 0 0 6 5 2 31060502
+1 0 0 0 0 7 5 2 31070502
+1 0 0 0 0 8 5 2 31080502
+1 0 0 0 0 9 5 2 31090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/ax.yl b/CarpetAttic/Cart3dTest/test/axial-xz/ax.yl
new file mode 100644
index 000000000..64c4405fe
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/ax.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax y (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 31000002
+0 0 0 0 0 0 1 2 31000102
+0 0 0 0 0 0 2 2 31000202
+0 0 0 0 0 0 3 2 31000302
+0 0 0 0 0 0 4 2 31000402
+0 0 0 0 0 0 5 2 31000502
+0 0 0 0 0 0 6 2 31000602
+0 0 0 0 0 0 7 2 31000702
+0 0 0 0 0 0 8 2 31000802
+0 0 0 0 0 0 9 2 31000902
+0 0 0 0 0 0 10 2 31001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 31000002
+1 0 0 0 0 0 1 2 31000102
+1 0 0 0 0 0 2 2 31000202
+1 0 0 0 0 0 3 2 31000302
+1 0 0 0 0 0 4 2 31000402
+1 0 0 0 0 0 5 2 31000502
+1 0 0 0 0 0 6 2 31000602
+1 0 0 0 0 0 7 2 31000702
+1 0 0 0 0 0 8 2 31000802
+1 0 0 0 0 0 9 2 31000902
+1 0 0 0 0 0 10 2 31001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/ax.zl b/CarpetAttic/Cart3dTest/test/axial-xz/ax.zl
new file mode 100644
index 000000000..593f10a7a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/ax.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::ax z (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 31000500
+0 0 0 0 0 0 5 1 31000501
+0 0 0 0 0 0 5 2 31000502
+0 0 0 0 0 0 5 3 31000503
+0 0 0 0 0 0 5 4 31000504
+0 0 0 0 0 0 5 5 31000505
+0 0 0 0 0 0 5 6 31000506
+0 0 0 0 0 0 5 7 31000507
+0 0 0 0 0 0 5 8 31000508
+0 0 0 0 0 0 5 9 31000509
+0 0 0 0 0 0 5 10 31000510
+0 0 0 0 0 0 5 11 31000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 33010502
+1 0 0 0 0 0 5 1 33000502
+1 0 0 0 0 0 5 2 31000502
+1 0 0 0 0 0 5 3 31000503
+1 0 0 0 0 0 5 4 31000504
+1 0 0 0 0 0 5 5 31000505
+1 0 0 0 0 0 5 6 31000506
+1 0 0 0 0 0 5 7 31000507
+1 0 0 0 0 0 5 8 31000508
+1 0 0 0 0 0 5 9 31000509
+1 0 0 0 0 0 5 10 31000510
+1 0 0 0 0 0 5 11 31000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/ay.xl b/CarpetAttic/Cart3dTest/test/axial-xz/ay.xl
new file mode 100644
index 000000000..2bc308805
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/ay.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::ay x (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 32000502
+0 0 0 0 0 1 5 2 32010502
+0 0 0 0 0 2 5 2 32020502
+0 0 0 0 0 3 5 2 32030502
+0 0 0 0 0 4 5 2 32040502
+0 0 0 0 0 5 5 2 32050502
+0 0 0 0 0 6 5 2 32060502
+0 0 0 0 0 7 5 2 32070502
+0 0 0 0 0 8 5 2 32080502
+0 0 0 0 0 9 5 2 32090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 32000502
+1 0 0 0 0 1 5 2 32010502
+1 0 0 0 0 2 5 2 32020502
+1 0 0 0 0 3 5 2 32030502
+1 0 0 0 0 4 5 2 32040502
+1 0 0 0 0 5 5 2 32050502
+1 0 0 0 0 6 5 2 32060502
+1 0 0 0 0 7 5 2 32070502
+1 0 0 0 0 8 5 2 32080502
+1 0 0 0 0 9 5 2 32090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/ay.yl b/CarpetAttic/Cart3dTest/test/axial-xz/ay.yl
new file mode 100644
index 000000000..ce70326e0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/ay.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay y (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 32000002
+0 0 0 0 0 0 1 2 32000102
+0 0 0 0 0 0 2 2 32000202
+0 0 0 0 0 0 3 2 32000302
+0 0 0 0 0 0 4 2 32000402
+0 0 0 0 0 0 5 2 32000502
+0 0 0 0 0 0 6 2 32000602
+0 0 0 0 0 0 7 2 32000702
+0 0 0 0 0 0 8 2 32000802
+0 0 0 0 0 0 9 2 32000902
+0 0 0 0 0 0 10 2 32001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 32000002
+1 0 0 0 0 0 1 2 32000102
+1 0 0 0 0 0 2 2 32000202
+1 0 0 0 0 0 3 2 32000302
+1 0 0 0 0 0 4 2 32000402
+1 0 0 0 0 0 5 2 32000502
+1 0 0 0 0 0 6 2 32000602
+1 0 0 0 0 0 7 2 32000702
+1 0 0 0 0 0 8 2 32000802
+1 0 0 0 0 0 9 2 32000902
+1 0 0 0 0 0 10 2 32001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/ay.zl b/CarpetAttic/Cart3dTest/test/axial-xz/ay.zl
new file mode 100644
index 000000000..da7819682
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/ay.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::ay z (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 32000500
+0 0 0 0 0 0 5 1 32000501
+0 0 0 0 0 0 5 2 32000502
+0 0 0 0 0 0 5 3 32000503
+0 0 0 0 0 0 5 4 32000504
+0 0 0 0 0 0 5 5 32000505
+0 0 0 0 0 0 5 6 32000506
+0 0 0 0 0 0 5 7 32000507
+0 0 0 0 0 0 5 8 32000508
+0 0 0 0 0 0 5 9 32000509
+0 0 0 0 0 0 5 10 32000510
+0 0 0 0 0 0 5 11 32000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 32010502
+1 0 0 0 0 0 5 1 32000502
+1 0 0 0 0 0 5 2 32000502
+1 0 0 0 0 0 5 3 32000503
+1 0 0 0 0 0 5 4 32000504
+1 0 0 0 0 0 5 5 32000505
+1 0 0 0 0 0 5 6 32000506
+1 0 0 0 0 0 5 7 32000507
+1 0 0 0 0 0 5 8 32000508
+1 0 0 0 0 0 5 9 32000509
+1 0 0 0 0 0 5 10 32000510
+1 0 0 0 0 0 5 11 32000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/az.xl b/CarpetAttic/Cart3dTest/test/axial-xz/az.xl
new file mode 100644
index 000000000..2b0fbd05e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/az.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::az x (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 33000502
+0 0 0 0 0 1 5 2 33010502
+0 0 0 0 0 2 5 2 33020502
+0 0 0 0 0 3 5 2 33030502
+0 0 0 0 0 4 5 2 33040502
+0 0 0 0 0 5 5 2 33050502
+0 0 0 0 0 6 5 2 33060502
+0 0 0 0 0 7 5 2 33070502
+0 0 0 0 0 8 5 2 33080502
+0 0 0 0 0 9 5 2 33090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 33000502
+1 0 0 0 0 1 5 2 33010502
+1 0 0 0 0 2 5 2 33020502
+1 0 0 0 0 3 5 2 33030502
+1 0 0 0 0 4 5 2 33040502
+1 0 0 0 0 5 5 2 33050502
+1 0 0 0 0 6 5 2 33060502
+1 0 0 0 0 7 5 2 33070502
+1 0 0 0 0 8 5 2 33080502
+1 0 0 0 0 9 5 2 33090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/az.yl b/CarpetAttic/Cart3dTest/test/axial-xz/az.yl
new file mode 100644
index 000000000..2b671eece
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/az.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::az y (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 33000002
+0 0 0 0 0 0 1 2 33000102
+0 0 0 0 0 0 2 2 33000202
+0 0 0 0 0 0 3 2 33000302
+0 0 0 0 0 0 4 2 33000402
+0 0 0 0 0 0 5 2 33000502
+0 0 0 0 0 0 6 2 33000602
+0 0 0 0 0 0 7 2 33000702
+0 0 0 0 0 0 8 2 33000802
+0 0 0 0 0 0 9 2 33000902
+0 0 0 0 0 0 10 2 33001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 33000002
+1 0 0 0 0 0 1 2 33000102
+1 0 0 0 0 0 2 2 33000202
+1 0 0 0 0 0 3 2 33000302
+1 0 0 0 0 0 4 2 33000402
+1 0 0 0 0 0 5 2 33000502
+1 0 0 0 0 0 6 2 33000602
+1 0 0 0 0 0 7 2 33000702
+1 0 0 0 0 0 8 2 33000802
+1 0 0 0 0 0 9 2 33000902
+1 0 0 0 0 0 10 2 33001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/az.zl b/CarpetAttic/Cart3dTest/test/axial-xz/az.zl
new file mode 100644
index 000000000..46b80a563
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/az.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::az z (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 33000500
+0 0 0 0 0 0 5 1 33000501
+0 0 0 0 0 0 5 2 33000502
+0 0 0 0 0 0 5 3 33000503
+0 0 0 0 0 0 5 4 33000504
+0 0 0 0 0 0 5 5 33000505
+0 0 0 0 0 0 5 6 33000506
+0 0 0 0 0 0 5 7 33000507
+0 0 0 0 0 0 5 8 33000508
+0 0 0 0 0 0 5 9 33000509
+0 0 0 0 0 0 5 10 33000510
+0 0 0 0 0 0 5 11 33000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 -31010502
+1 0 0 0 0 0 5 1 -31000502
+1 0 0 0 0 0 5 2 33000502
+1 0 0 0 0 0 5 3 33000503
+1 0 0 0 0 0 5 4 33000504
+1 0 0 0 0 0 5 5 33000505
+1 0 0 0 0 0 5 6 33000506
+1 0 0 0 0 0 5 7 33000507
+1 0 0 0 0 0 5 8 33000508
+1 0 0 0 0 0 5 9 33000509
+1 0 0 0 0 0 5 10 33000510
+1 0 0 0 0 0 5 11 33000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_x.xl
new file mode 100644
index 000000000..00a0238f8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_x.xl
@@ -0,0 +1,32 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 1 5 2 0.45
+0 0 0 0 0 2 5 2 0.75
+0 0 0 0 0 3 5 2 1.05
+0 0 0 0 0 4 5 2 1.35
+0 0 0 0 0 5 5 2 1.65
+0 0 0 0 0 6 5 2 1.95
+0 0 0 0 0 7 5 2 2.25
+0 0 0 0 0 8 5 2 2.55
+0 0 0 0 0 9 5 2 2.85
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 0.15
+1 0 0 0 0 1 5 2 0.45
+1 0 0 0 0 2 5 2 0.75
+1 0 0 0 0 3 5 2 1.05
+1 0 0 0 0 4 5 2 1.35
+1 0 0 0 0 5 5 2 1.65
+1 0 0 0 0 6 5 2 1.95
+1 0 0 0 0 7 5 2 2.25
+1 0 0 0 0 8 5 2 2.55
+1 0 0 0 0 9 5 2 2.85
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_x.yl
new file mode 100644
index 000000000..1642abfd5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_x.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 2 2 0.15
+0 0 0 0 0 0 3 2 0.15
+0 0 0 0 0 0 4 2 0.15
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 0 6 2 0.15
+0 0 0 0 0 0 7 2 0.15
+0 0 0 0 0 0 8 2 0.15
+0 0 0 0 0 0 9 2 0.15
+0 0 0 0 0 0 10 2 0.15
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 0.15
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 0 2 2 0.15
+1 0 0 0 0 0 3 2 0.15
+1 0 0 0 0 0 4 2 0.15
+1 0 0 0 0 0 5 2 0.15
+1 0 0 0 0 0 6 2 0.15
+1 0 0 0 0 0 7 2 0.15
+1 0 0 0 0 0 8 2 0.15
+1 0 0 0 0 0 9 2 0.15
+1 0 0 0 0 0 10 2 0.15
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_x.zl
new file mode 100644
index 000000000..e2661fc35
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_x.zl
@@ -0,0 +1,36 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 0.15
+0 0 0 0 0 0 5 1 0.15
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 0 5 3 0.15
+0 0 0 0 0 0 5 4 0.15
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 0 5 6 0.15
+0 0 0 0 0 0 5 7 0.15
+0 0 0 0 0 0 5 8 0.15
+0 0 0 0 0 0 5 9 0.15
+0 0 0 0 0 0 5 10 0.15
+0 0 0 0 0 0 5 11 0.15
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 0.15
+1 0 0 0 0 0 5 1 0.15
+1 0 0 0 0 0 5 2 0.15
+1 0 0 0 0 0 5 3 0.15
+1 0 0 0 0 0 5 4 0.15
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 0 5 6 0.15
+1 0 0 0 0 0 5 7 0.15
+1 0 0 0 0 0 5 8 0.15
+1 0 0 0 0 0 5 9 0.15
+1 0 0 0 0 0 5 10 0.15
+1 0 0 0 0 0 5 11 0.15
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_y.xl
new file mode 100644
index 000000000..8cea96e96
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_y.xl
@@ -0,0 +1,32 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 1 5 2 0.15
+0 0 0 0 0 2 5 2 0.15
+0 0 0 0 0 3 5 2 0.15
+0 0 0 0 0 4 5 2 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 6 5 2 0.15
+0 0 0 0 0 7 5 2 0.15
+0 0 0 0 0 8 5 2 0.15
+0 0 0 0 0 9 5 2 0.15
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 0.15
+1 0 0 0 0 1 5 2 0.15
+1 0 0 0 0 2 5 2 0.15
+1 0 0 0 0 3 5 2 0.15
+1 0 0 0 0 4 5 2 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 6 5 2 0.15
+1 0 0 0 0 7 5 2 0.15
+1 0 0 0 0 8 5 2 0.15
+1 0 0 0 0 9 5 2 0.15
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_y.yl
new file mode 100644
index 000000000..6b4310c3e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_y.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 -1.35
+0 0 0 0 0 0 1 2 -1.05
+0 0 0 0 0 0 2 2 -0.75
+0 0 0 0 0 0 3 2 -0.45
+0 0 0 0 0 0 4 2 -0.15
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 0 6 2 0.45
+0 0 0 0 0 0 7 2 0.75
+0 0 0 0 0 0 8 2 1.05
+0 0 0 0 0 0 9 2 1.35
+0 0 0 0 0 0 10 2 1.65
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -1.35
+1 0 0 0 0 0 1 2 -1.05
+1 0 0 0 0 0 2 2 -0.75
+1 0 0 0 0 0 3 2 -0.45
+1 0 0 0 0 0 4 2 -0.15
+1 0 0 0 0 0 5 2 0.15
+1 0 0 0 0 0 6 2 0.45
+1 0 0 0 0 0 7 2 0.75
+1 0 0 0 0 0 8 2 1.05
+1 0 0 0 0 0 9 2 1.35
+1 0 0 0 0 0 10 2 1.65
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_y.zl
new file mode 100644
index 000000000..5da9cd484
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_y.zl
@@ -0,0 +1,36 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 0.15
+0 0 0 0 0 0 5 1 0.15
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 0 5 3 0.15
+0 0 0 0 0 0 5 4 0.15
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 0 5 6 0.15
+0 0 0 0 0 0 5 7 0.15
+0 0 0 0 0 0 5 8 0.15
+0 0 0 0 0 0 5 9 0.15
+0 0 0 0 0 0 5 10 0.15
+0 0 0 0 0 0 5 11 0.15
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 0.15
+1 0 0 0 0 0 5 1 0.15
+1 0 0 0 0 0 5 2 0.15
+1 0 0 0 0 0 5 3 0.15
+1 0 0 0 0 0 5 4 0.15
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 0 5 6 0.15
+1 0 0 0 0 0 5 7 0.15
+1 0 0 0 0 0 5 8 0.15
+1 0 0 0 0 0 5 9 0.15
+1 0 0 0 0 0 5 10 0.15
+1 0 0 0 0 0 5 11 0.15
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_z.xl
new file mode 100644
index 000000000..bec2ffe34
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_z.xl
@@ -0,0 +1,32 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 1 5 2 0.15
+0 0 0 0 0 2 5 2 0.15
+0 0 0 0 0 3 5 2 0.15
+0 0 0 0 0 4 5 2 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 6 5 2 0.15
+0 0 0 0 0 7 5 2 0.15
+0 0 0 0 0 8 5 2 0.15
+0 0 0 0 0 9 5 2 0.15
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 0.15
+1 0 0 0 0 1 5 2 0.15
+1 0 0 0 0 2 5 2 0.15
+1 0 0 0 0 3 5 2 0.15
+1 0 0 0 0 4 5 2 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 6 5 2 0.15
+1 0 0 0 0 7 5 2 0.15
+1 0 0 0 0 8 5 2 0.15
+1 0 0 0 0 9 5 2 0.15
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_z.yl
new file mode 100644
index 000000000..639acf623
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_z.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 2 2 0.15
+0 0 0 0 0 0 3 2 0.15
+0 0 0 0 0 0 4 2 0.15
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 0 6 2 0.15
+0 0 0 0 0 0 7 2 0.15
+0 0 0 0 0 0 8 2 0.15
+0 0 0 0 0 0 9 2 0.15
+0 0 0 0 0 0 10 2 0.15
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 0.15
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 0 2 2 0.15
+1 0 0 0 0 0 3 2 0.15
+1 0 0 0 0 0 4 2 0.15
+1 0 0 0 0 0 5 2 0.15
+1 0 0 0 0 0 6 2 0.15
+1 0 0 0 0 0 7 2 0.15
+1 0 0 0 0 0 8 2 0.15
+1 0 0 0 0 0 9 2 0.15
+1 0 0 0 0 0 10 2 0.15
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_z.zl
new file mode 100644
index 000000000..dab545e8d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/cart3d_z.zl
@@ -0,0 +1,36 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 -0.45
+0 0 0 0 0 0 5 1 -0.15
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 0 5 3 0.45
+0 0 0 0 0 0 5 4 0.75
+0 0 0 0 0 0 5 5 1.05
+0 0 0 0 0 0 5 6 1.35
+0 0 0 0 0 0 5 7 1.65
+0 0 0 0 0 0 5 8 1.95
+0 0 0 0 0 0 5 9 2.25
+0 0 0 0 0 0 5 10 2.55
+0 0 0 0 0 0 5 11 2.85
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 -0.45
+1 0 0 0 0 0 5 1 -0.15
+1 0 0 0 0 0 5 2 0.15
+1 0 0 0 0 0 5 3 0.45
+1 0 0 0 0 0 5 4 0.75
+1 0 0 0 0 0 5 5 1.05
+1 0 0 0 0 0 5 6 1.35
+1 0 0 0 0 0 5 7 1.65
+1 0 0 0 0 0 5 8 1.95
+1 0 0 0 0 0 5 9 2.25
+1 0 0 0 0 0 5 10 2.55
+1 0 0 0 0 0 5 11 2.85
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fxx.xl b/CarpetAttic/Cart3dTest/test/axial-xz/fxx.xl
new file mode 100644
index 000000000..f9bfe57cd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fxx.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fxx x (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 41000502
+0 0 0 0 0 1 5 2 41010502
+0 0 0 0 0 2 5 2 41020502
+0 0 0 0 0 3 5 2 41030502
+0 0 0 0 0 4 5 2 41040502
+0 0 0 0 0 5 5 2 41050502
+0 0 0 0 0 6 5 2 41060502
+0 0 0 0 0 7 5 2 41070502
+0 0 0 0 0 8 5 2 41080502
+0 0 0 0 0 9 5 2 41090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 41000502
+1 0 0 0 0 1 5 2 41010502
+1 0 0 0 0 2 5 2 41020502
+1 0 0 0 0 3 5 2 41030502
+1 0 0 0 0 4 5 2 41040502
+1 0 0 0 0 5 5 2 41050502
+1 0 0 0 0 6 5 2 41060502
+1 0 0 0 0 7 5 2 41070502
+1 0 0 0 0 8 5 2 41080502
+1 0 0 0 0 9 5 2 41090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fxx.yl b/CarpetAttic/Cart3dTest/test/axial-xz/fxx.yl
new file mode 100644
index 000000000..45b813896
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fxx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx y (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 41000002
+0 0 0 0 0 0 1 2 41000102
+0 0 0 0 0 0 2 2 41000202
+0 0 0 0 0 0 3 2 41000302
+0 0 0 0 0 0 4 2 41000402
+0 0 0 0 0 0 5 2 41000502
+0 0 0 0 0 0 6 2 41000602
+0 0 0 0 0 0 7 2 41000702
+0 0 0 0 0 0 8 2 41000802
+0 0 0 0 0 0 9 2 41000902
+0 0 0 0 0 0 10 2 41001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 41000002
+1 0 0 0 0 0 1 2 41000102
+1 0 0 0 0 0 2 2 41000202
+1 0 0 0 0 0 3 2 41000302
+1 0 0 0 0 0 4 2 41000402
+1 0 0 0 0 0 5 2 41000502
+1 0 0 0 0 0 6 2 41000602
+1 0 0 0 0 0 7 2 41000702
+1 0 0 0 0 0 8 2 41000802
+1 0 0 0 0 0 9 2 41000902
+1 0 0 0 0 0 10 2 41001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fxx.zl b/CarpetAttic/Cart3dTest/test/axial-xz/fxx.zl
new file mode 100644
index 000000000..458730450
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fxx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxx z (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 41000500
+0 0 0 0 0 0 5 1 41000501
+0 0 0 0 0 0 5 2 41000502
+0 0 0 0 0 0 5 3 41000503
+0 0 0 0 0 0 5 4 41000504
+0 0 0 0 0 0 5 5 41000505
+0 0 0 0 0 0 5 6 41000506
+0 0 0 0 0 0 5 7 41000507
+0 0 0 0 0 0 5 8 41000508
+0 0 0 0 0 0 5 9 41000509
+0 0 0 0 0 0 5 10 41000510
+0 0 0 0 0 0 5 11 41000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 49010502
+1 0 0 0 0 0 5 1 49000502
+1 0 0 0 0 0 5 2 41000502
+1 0 0 0 0 0 5 3 41000503
+1 0 0 0 0 0 5 4 41000504
+1 0 0 0 0 0 5 5 41000505
+1 0 0 0 0 0 5 6 41000506
+1 0 0 0 0 0 5 7 41000507
+1 0 0 0 0 0 5 8 41000508
+1 0 0 0 0 0 5 9 41000509
+1 0 0 0 0 0 5 10 41000510
+1 0 0 0 0 0 5 11 41000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fxy.xl b/CarpetAttic/Cart3dTest/test/axial-xz/fxy.xl
new file mode 100644
index 000000000..b2cd9690f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fxy.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fxy x (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 42000502
+0 0 0 0 0 1 5 2 42010502
+0 0 0 0 0 2 5 2 42020502
+0 0 0 0 0 3 5 2 42030502
+0 0 0 0 0 4 5 2 42040502
+0 0 0 0 0 5 5 2 42050502
+0 0 0 0 0 6 5 2 42060502
+0 0 0 0 0 7 5 2 42070502
+0 0 0 0 0 8 5 2 42080502
+0 0 0 0 0 9 5 2 42090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 42000502
+1 0 0 0 0 1 5 2 42010502
+1 0 0 0 0 2 5 2 42020502
+1 0 0 0 0 3 5 2 42030502
+1 0 0 0 0 4 5 2 42040502
+1 0 0 0 0 5 5 2 42050502
+1 0 0 0 0 6 5 2 42060502
+1 0 0 0 0 7 5 2 42070502
+1 0 0 0 0 8 5 2 42080502
+1 0 0 0 0 9 5 2 42090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fxy.yl b/CarpetAttic/Cart3dTest/test/axial-xz/fxy.yl
new file mode 100644
index 000000000..4e5105db2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fxy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy y (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 42000002
+0 0 0 0 0 0 1 2 42000102
+0 0 0 0 0 0 2 2 42000202
+0 0 0 0 0 0 3 2 42000302
+0 0 0 0 0 0 4 2 42000402
+0 0 0 0 0 0 5 2 42000502
+0 0 0 0 0 0 6 2 42000602
+0 0 0 0 0 0 7 2 42000702
+0 0 0 0 0 0 8 2 42000802
+0 0 0 0 0 0 9 2 42000902
+0 0 0 0 0 0 10 2 42001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 42000002
+1 0 0 0 0 0 1 2 42000102
+1 0 0 0 0 0 2 2 42000202
+1 0 0 0 0 0 3 2 42000302
+1 0 0 0 0 0 4 2 42000402
+1 0 0 0 0 0 5 2 42000502
+1 0 0 0 0 0 6 2 42000602
+1 0 0 0 0 0 7 2 42000702
+1 0 0 0 0 0 8 2 42000802
+1 0 0 0 0 0 9 2 42000902
+1 0 0 0 0 0 10 2 42001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fxy.zl b/CarpetAttic/Cart3dTest/test/axial-xz/fxy.zl
new file mode 100644
index 000000000..af06334bb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fxy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxy z (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 42000500
+0 0 0 0 0 0 5 1 42000501
+0 0 0 0 0 0 5 2 42000502
+0 0 0 0 0 0 5 3 42000503
+0 0 0 0 0 0 5 4 42000504
+0 0 0 0 0 0 5 5 42000505
+0 0 0 0 0 0 5 6 42000506
+0 0 0 0 0 0 5 7 42000507
+0 0 0 0 0 0 5 8 42000508
+0 0 0 0 0 0 5 9 42000509
+0 0 0 0 0 0 5 10 42000510
+0 0 0 0 0 0 5 11 42000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 48010502
+1 0 0 0 0 0 5 1 48000502
+1 0 0 0 0 0 5 2 42000502
+1 0 0 0 0 0 5 3 42000503
+1 0 0 0 0 0 5 4 42000504
+1 0 0 0 0 0 5 5 42000505
+1 0 0 0 0 0 5 6 42000506
+1 0 0 0 0 0 5 7 42000507
+1 0 0 0 0 0 5 8 42000508
+1 0 0 0 0 0 5 9 42000509
+1 0 0 0 0 0 5 10 42000510
+1 0 0 0 0 0 5 11 42000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fxz.xl b/CarpetAttic/Cart3dTest/test/axial-xz/fxz.xl
new file mode 100644
index 000000000..1f3d82760
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fxz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fxz x (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 43000502
+0 0 0 0 0 1 5 2 43010502
+0 0 0 0 0 2 5 2 43020502
+0 0 0 0 0 3 5 2 43030502
+0 0 0 0 0 4 5 2 43040502
+0 0 0 0 0 5 5 2 43050502
+0 0 0 0 0 6 5 2 43060502
+0 0 0 0 0 7 5 2 43070502
+0 0 0 0 0 8 5 2 43080502
+0 0 0 0 0 9 5 2 43090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 43000502
+1 0 0 0 0 1 5 2 43010502
+1 0 0 0 0 2 5 2 43020502
+1 0 0 0 0 3 5 2 43030502
+1 0 0 0 0 4 5 2 43040502
+1 0 0 0 0 5 5 2 43050502
+1 0 0 0 0 6 5 2 43060502
+1 0 0 0 0 7 5 2 43070502
+1 0 0 0 0 8 5 2 43080502
+1 0 0 0 0 9 5 2 43090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fxz.yl b/CarpetAttic/Cart3dTest/test/axial-xz/fxz.yl
new file mode 100644
index 000000000..522064f1d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fxz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz y (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 43000002
+0 0 0 0 0 0 1 2 43000102
+0 0 0 0 0 0 2 2 43000202
+0 0 0 0 0 0 3 2 43000302
+0 0 0 0 0 0 4 2 43000402
+0 0 0 0 0 0 5 2 43000502
+0 0 0 0 0 0 6 2 43000602
+0 0 0 0 0 0 7 2 43000702
+0 0 0 0 0 0 8 2 43000802
+0 0 0 0 0 0 9 2 43000902
+0 0 0 0 0 0 10 2 43001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 43000002
+1 0 0 0 0 0 1 2 43000102
+1 0 0 0 0 0 2 2 43000202
+1 0 0 0 0 0 3 2 43000302
+1 0 0 0 0 0 4 2 43000402
+1 0 0 0 0 0 5 2 43000502
+1 0 0 0 0 0 6 2 43000602
+1 0 0 0 0 0 7 2 43000702
+1 0 0 0 0 0 8 2 43000802
+1 0 0 0 0 0 9 2 43000902
+1 0 0 0 0 0 10 2 43001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fxz.zl b/CarpetAttic/Cart3dTest/test/axial-xz/fxz.zl
new file mode 100644
index 000000000..f214d36d8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fxz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxz z (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 43000500
+0 0 0 0 0 0 5 1 43000501
+0 0 0 0 0 0 5 2 43000502
+0 0 0 0 0 0 5 3 43000503
+0 0 0 0 0 0 5 4 43000504
+0 0 0 0 0 0 5 5 43000505
+0 0 0 0 0 0 5 6 43000506
+0 0 0 0 0 0 5 7 43000507
+0 0 0 0 0 0 5 8 43000508
+0 0 0 0 0 0 5 9 43000509
+0 0 0 0 0 0 5 10 43000510
+0 0 0 0 0 0 5 11 43000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 -47010502
+1 0 0 0 0 0 5 1 -47000502
+1 0 0 0 0 0 5 2 43000502
+1 0 0 0 0 0 5 3 43000503
+1 0 0 0 0 0 5 4 43000504
+1 0 0 0 0 0 5 5 43000505
+1 0 0 0 0 0 5 6 43000506
+1 0 0 0 0 0 5 7 43000507
+1 0 0 0 0 0 5 8 43000508
+1 0 0 0 0 0 5 9 43000509
+1 0 0 0 0 0 5 10 43000510
+1 0 0 0 0 0 5 11 43000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fyx.xl b/CarpetAttic/Cart3dTest/test/axial-xz/fyx.xl
new file mode 100644
index 000000000..55832bf88
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fyx.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fyx x (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 44000502
+0 0 0 0 0 1 5 2 44010502
+0 0 0 0 0 2 5 2 44020502
+0 0 0 0 0 3 5 2 44030502
+0 0 0 0 0 4 5 2 44040502
+0 0 0 0 0 5 5 2 44050502
+0 0 0 0 0 6 5 2 44060502
+0 0 0 0 0 7 5 2 44070502
+0 0 0 0 0 8 5 2 44080502
+0 0 0 0 0 9 5 2 44090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 44000502
+1 0 0 0 0 1 5 2 44010502
+1 0 0 0 0 2 5 2 44020502
+1 0 0 0 0 3 5 2 44030502
+1 0 0 0 0 4 5 2 44040502
+1 0 0 0 0 5 5 2 44050502
+1 0 0 0 0 6 5 2 44060502
+1 0 0 0 0 7 5 2 44070502
+1 0 0 0 0 8 5 2 44080502
+1 0 0 0 0 9 5 2 44090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fyx.yl b/CarpetAttic/Cart3dTest/test/axial-xz/fyx.yl
new file mode 100644
index 000000000..a570be798
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fyx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx y (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 44000002
+0 0 0 0 0 0 1 2 44000102
+0 0 0 0 0 0 2 2 44000202
+0 0 0 0 0 0 3 2 44000302
+0 0 0 0 0 0 4 2 44000402
+0 0 0 0 0 0 5 2 44000502
+0 0 0 0 0 0 6 2 44000602
+0 0 0 0 0 0 7 2 44000702
+0 0 0 0 0 0 8 2 44000802
+0 0 0 0 0 0 9 2 44000902
+0 0 0 0 0 0 10 2 44001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 44000002
+1 0 0 0 0 0 1 2 44000102
+1 0 0 0 0 0 2 2 44000202
+1 0 0 0 0 0 3 2 44000302
+1 0 0 0 0 0 4 2 44000402
+1 0 0 0 0 0 5 2 44000502
+1 0 0 0 0 0 6 2 44000602
+1 0 0 0 0 0 7 2 44000702
+1 0 0 0 0 0 8 2 44000802
+1 0 0 0 0 0 9 2 44000902
+1 0 0 0 0 0 10 2 44001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fyx.zl b/CarpetAttic/Cart3dTest/test/axial-xz/fyx.zl
new file mode 100644
index 000000000..a200be5aa
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fyx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyx z (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 44000500
+0 0 0 0 0 0 5 1 44000501
+0 0 0 0 0 0 5 2 44000502
+0 0 0 0 0 0 5 3 44000503
+0 0 0 0 0 0 5 4 44000504
+0 0 0 0 0 0 5 5 44000505
+0 0 0 0 0 0 5 6 44000506
+0 0 0 0 0 0 5 7 44000507
+0 0 0 0 0 0 5 8 44000508
+0 0 0 0 0 0 5 9 44000509
+0 0 0 0 0 0 5 10 44000510
+0 0 0 0 0 0 5 11 44000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 46010502
+1 0 0 0 0 0 5 1 46000502
+1 0 0 0 0 0 5 2 44000502
+1 0 0 0 0 0 5 3 44000503
+1 0 0 0 0 0 5 4 44000504
+1 0 0 0 0 0 5 5 44000505
+1 0 0 0 0 0 5 6 44000506
+1 0 0 0 0 0 5 7 44000507
+1 0 0 0 0 0 5 8 44000508
+1 0 0 0 0 0 5 9 44000509
+1 0 0 0 0 0 5 10 44000510
+1 0 0 0 0 0 5 11 44000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fyy.xl b/CarpetAttic/Cart3dTest/test/axial-xz/fyy.xl
new file mode 100644
index 000000000..2927f5ae4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fyy.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fyy x (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 45000502
+0 0 0 0 0 1 5 2 45010502
+0 0 0 0 0 2 5 2 45020502
+0 0 0 0 0 3 5 2 45030502
+0 0 0 0 0 4 5 2 45040502
+0 0 0 0 0 5 5 2 45050502
+0 0 0 0 0 6 5 2 45060502
+0 0 0 0 0 7 5 2 45070502
+0 0 0 0 0 8 5 2 45080502
+0 0 0 0 0 9 5 2 45090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 45000502
+1 0 0 0 0 1 5 2 45010502
+1 0 0 0 0 2 5 2 45020502
+1 0 0 0 0 3 5 2 45030502
+1 0 0 0 0 4 5 2 45040502
+1 0 0 0 0 5 5 2 45050502
+1 0 0 0 0 6 5 2 45060502
+1 0 0 0 0 7 5 2 45070502
+1 0 0 0 0 8 5 2 45080502
+1 0 0 0 0 9 5 2 45090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fyy.yl b/CarpetAttic/Cart3dTest/test/axial-xz/fyy.yl
new file mode 100644
index 000000000..480431e1a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy y (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 45000002
+0 0 0 0 0 0 1 2 45000102
+0 0 0 0 0 0 2 2 45000202
+0 0 0 0 0 0 3 2 45000302
+0 0 0 0 0 0 4 2 45000402
+0 0 0 0 0 0 5 2 45000502
+0 0 0 0 0 0 6 2 45000602
+0 0 0 0 0 0 7 2 45000702
+0 0 0 0 0 0 8 2 45000802
+0 0 0 0 0 0 9 2 45000902
+0 0 0 0 0 0 10 2 45001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 45000002
+1 0 0 0 0 0 1 2 45000102
+1 0 0 0 0 0 2 2 45000202
+1 0 0 0 0 0 3 2 45000302
+1 0 0 0 0 0 4 2 45000402
+1 0 0 0 0 0 5 2 45000502
+1 0 0 0 0 0 6 2 45000602
+1 0 0 0 0 0 7 2 45000702
+1 0 0 0 0 0 8 2 45000802
+1 0 0 0 0 0 9 2 45000902
+1 0 0 0 0 0 10 2 45001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fyy.zl b/CarpetAttic/Cart3dTest/test/axial-xz/fyy.zl
new file mode 100644
index 000000000..062209605
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fyy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyy z (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 45000500
+0 0 0 0 0 0 5 1 45000501
+0 0 0 0 0 0 5 2 45000502
+0 0 0 0 0 0 5 3 45000503
+0 0 0 0 0 0 5 4 45000504
+0 0 0 0 0 0 5 5 45000505
+0 0 0 0 0 0 5 6 45000506
+0 0 0 0 0 0 5 7 45000507
+0 0 0 0 0 0 5 8 45000508
+0 0 0 0 0 0 5 9 45000509
+0 0 0 0 0 0 5 10 45000510
+0 0 0 0 0 0 5 11 45000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 45010502
+1 0 0 0 0 0 5 1 45000502
+1 0 0 0 0 0 5 2 45000502
+1 0 0 0 0 0 5 3 45000503
+1 0 0 0 0 0 5 4 45000504
+1 0 0 0 0 0 5 5 45000505
+1 0 0 0 0 0 5 6 45000506
+1 0 0 0 0 0 5 7 45000507
+1 0 0 0 0 0 5 8 45000508
+1 0 0 0 0 0 5 9 45000509
+1 0 0 0 0 0 5 10 45000510
+1 0 0 0 0 0 5 11 45000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fyz.xl b/CarpetAttic/Cart3dTest/test/axial-xz/fyz.xl
new file mode 100644
index 000000000..6aacd7584
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fyz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fyz x (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 46000502
+0 0 0 0 0 1 5 2 46010502
+0 0 0 0 0 2 5 2 46020502
+0 0 0 0 0 3 5 2 46030502
+0 0 0 0 0 4 5 2 46040502
+0 0 0 0 0 5 5 2 46050502
+0 0 0 0 0 6 5 2 46060502
+0 0 0 0 0 7 5 2 46070502
+0 0 0 0 0 8 5 2 46080502
+0 0 0 0 0 9 5 2 46090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 46000502
+1 0 0 0 0 1 5 2 46010502
+1 0 0 0 0 2 5 2 46020502
+1 0 0 0 0 3 5 2 46030502
+1 0 0 0 0 4 5 2 46040502
+1 0 0 0 0 5 5 2 46050502
+1 0 0 0 0 6 5 2 46060502
+1 0 0 0 0 7 5 2 46070502
+1 0 0 0 0 8 5 2 46080502
+1 0 0 0 0 9 5 2 46090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fyz.yl b/CarpetAttic/Cart3dTest/test/axial-xz/fyz.yl
new file mode 100644
index 000000000..56a804d7a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz y (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 46000002
+0 0 0 0 0 0 1 2 46000102
+0 0 0 0 0 0 2 2 46000202
+0 0 0 0 0 0 3 2 46000302
+0 0 0 0 0 0 4 2 46000402
+0 0 0 0 0 0 5 2 46000502
+0 0 0 0 0 0 6 2 46000602
+0 0 0 0 0 0 7 2 46000702
+0 0 0 0 0 0 8 2 46000802
+0 0 0 0 0 0 9 2 46000902
+0 0 0 0 0 0 10 2 46001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 46000002
+1 0 0 0 0 0 1 2 46000102
+1 0 0 0 0 0 2 2 46000202
+1 0 0 0 0 0 3 2 46000302
+1 0 0 0 0 0 4 2 46000402
+1 0 0 0 0 0 5 2 46000502
+1 0 0 0 0 0 6 2 46000602
+1 0 0 0 0 0 7 2 46000702
+1 0 0 0 0 0 8 2 46000802
+1 0 0 0 0 0 9 2 46000902
+1 0 0 0 0 0 10 2 46001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fyz.zl b/CarpetAttic/Cart3dTest/test/axial-xz/fyz.zl
new file mode 100644
index 000000000..ffdb95c2c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fyz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyz z (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 46000500
+0 0 0 0 0 0 5 1 46000501
+0 0 0 0 0 0 5 2 46000502
+0 0 0 0 0 0 5 3 46000503
+0 0 0 0 0 0 5 4 46000504
+0 0 0 0 0 0 5 5 46000505
+0 0 0 0 0 0 5 6 46000506
+0 0 0 0 0 0 5 7 46000507
+0 0 0 0 0 0 5 8 46000508
+0 0 0 0 0 0 5 9 46000509
+0 0 0 0 0 0 5 10 46000510
+0 0 0 0 0 0 5 11 46000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 -44010502
+1 0 0 0 0 0 5 1 -44000502
+1 0 0 0 0 0 5 2 46000502
+1 0 0 0 0 0 5 3 46000503
+1 0 0 0 0 0 5 4 46000504
+1 0 0 0 0 0 5 5 46000505
+1 0 0 0 0 0 5 6 46000506
+1 0 0 0 0 0 5 7 46000507
+1 0 0 0 0 0 5 8 46000508
+1 0 0 0 0 0 5 9 46000509
+1 0 0 0 0 0 5 10 46000510
+1 0 0 0 0 0 5 11 46000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fzx.xl b/CarpetAttic/Cart3dTest/test/axial-xz/fzx.xl
new file mode 100644
index 000000000..288e65d3d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fzx.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fzx x (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 47000502
+0 0 0 0 0 1 5 2 47010502
+0 0 0 0 0 2 5 2 47020502
+0 0 0 0 0 3 5 2 47030502
+0 0 0 0 0 4 5 2 47040502
+0 0 0 0 0 5 5 2 47050502
+0 0 0 0 0 6 5 2 47060502
+0 0 0 0 0 7 5 2 47070502
+0 0 0 0 0 8 5 2 47080502
+0 0 0 0 0 9 5 2 47090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 47000502
+1 0 0 0 0 1 5 2 47010502
+1 0 0 0 0 2 5 2 47020502
+1 0 0 0 0 3 5 2 47030502
+1 0 0 0 0 4 5 2 47040502
+1 0 0 0 0 5 5 2 47050502
+1 0 0 0 0 6 5 2 47060502
+1 0 0 0 0 7 5 2 47070502
+1 0 0 0 0 8 5 2 47080502
+1 0 0 0 0 9 5 2 47090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fzx.yl b/CarpetAttic/Cart3dTest/test/axial-xz/fzx.yl
new file mode 100644
index 000000000..f4836fa33
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fzx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx y (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 47000002
+0 0 0 0 0 0 1 2 47000102
+0 0 0 0 0 0 2 2 47000202
+0 0 0 0 0 0 3 2 47000302
+0 0 0 0 0 0 4 2 47000402
+0 0 0 0 0 0 5 2 47000502
+0 0 0 0 0 0 6 2 47000602
+0 0 0 0 0 0 7 2 47000702
+0 0 0 0 0 0 8 2 47000802
+0 0 0 0 0 0 9 2 47000902
+0 0 0 0 0 0 10 2 47001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 47000002
+1 0 0 0 0 0 1 2 47000102
+1 0 0 0 0 0 2 2 47000202
+1 0 0 0 0 0 3 2 47000302
+1 0 0 0 0 0 4 2 47000402
+1 0 0 0 0 0 5 2 47000502
+1 0 0 0 0 0 6 2 47000602
+1 0 0 0 0 0 7 2 47000702
+1 0 0 0 0 0 8 2 47000802
+1 0 0 0 0 0 9 2 47000902
+1 0 0 0 0 0 10 2 47001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fzx.zl b/CarpetAttic/Cart3dTest/test/axial-xz/fzx.zl
new file mode 100644
index 000000000..da2d99144
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fzx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzx z (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 47000500
+0 0 0 0 0 0 5 1 47000501
+0 0 0 0 0 0 5 2 47000502
+0 0 0 0 0 0 5 3 47000503
+0 0 0 0 0 0 5 4 47000504
+0 0 0 0 0 0 5 5 47000505
+0 0 0 0 0 0 5 6 47000506
+0 0 0 0 0 0 5 7 47000507
+0 0 0 0 0 0 5 8 47000508
+0 0 0 0 0 0 5 9 47000509
+0 0 0 0 0 0 5 10 47000510
+0 0 0 0 0 0 5 11 47000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 -43010502
+1 0 0 0 0 0 5 1 -43000502
+1 0 0 0 0 0 5 2 47000502
+1 0 0 0 0 0 5 3 47000503
+1 0 0 0 0 0 5 4 47000504
+1 0 0 0 0 0 5 5 47000505
+1 0 0 0 0 0 5 6 47000506
+1 0 0 0 0 0 5 7 47000507
+1 0 0 0 0 0 5 8 47000508
+1 0 0 0 0 0 5 9 47000509
+1 0 0 0 0 0 5 10 47000510
+1 0 0 0 0 0 5 11 47000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fzy.xl b/CarpetAttic/Cart3dTest/test/axial-xz/fzy.xl
new file mode 100644
index 000000000..7a5297d8c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fzy.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fzy x (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 48000502
+0 0 0 0 0 1 5 2 48010502
+0 0 0 0 0 2 5 2 48020502
+0 0 0 0 0 3 5 2 48030502
+0 0 0 0 0 4 5 2 48040502
+0 0 0 0 0 5 5 2 48050502
+0 0 0 0 0 6 5 2 48060502
+0 0 0 0 0 7 5 2 48070502
+0 0 0 0 0 8 5 2 48080502
+0 0 0 0 0 9 5 2 48090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 48000502
+1 0 0 0 0 1 5 2 48010502
+1 0 0 0 0 2 5 2 48020502
+1 0 0 0 0 3 5 2 48030502
+1 0 0 0 0 4 5 2 48040502
+1 0 0 0 0 5 5 2 48050502
+1 0 0 0 0 6 5 2 48060502
+1 0 0 0 0 7 5 2 48070502
+1 0 0 0 0 8 5 2 48080502
+1 0 0 0 0 9 5 2 48090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fzy.yl b/CarpetAttic/Cart3dTest/test/axial-xz/fzy.yl
new file mode 100644
index 000000000..8ae17d760
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fzy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy y (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 48000002
+0 0 0 0 0 0 1 2 48000102
+0 0 0 0 0 0 2 2 48000202
+0 0 0 0 0 0 3 2 48000302
+0 0 0 0 0 0 4 2 48000402
+0 0 0 0 0 0 5 2 48000502
+0 0 0 0 0 0 6 2 48000602
+0 0 0 0 0 0 7 2 48000702
+0 0 0 0 0 0 8 2 48000802
+0 0 0 0 0 0 9 2 48000902
+0 0 0 0 0 0 10 2 48001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 48000002
+1 0 0 0 0 0 1 2 48000102
+1 0 0 0 0 0 2 2 48000202
+1 0 0 0 0 0 3 2 48000302
+1 0 0 0 0 0 4 2 48000402
+1 0 0 0 0 0 5 2 48000502
+1 0 0 0 0 0 6 2 48000602
+1 0 0 0 0 0 7 2 48000702
+1 0 0 0 0 0 8 2 48000802
+1 0 0 0 0 0 9 2 48000902
+1 0 0 0 0 0 10 2 48001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fzy.zl b/CarpetAttic/Cart3dTest/test/axial-xz/fzy.zl
new file mode 100644
index 000000000..d62c5ddec
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fzy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzy z (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 48000500
+0 0 0 0 0 0 5 1 48000501
+0 0 0 0 0 0 5 2 48000502
+0 0 0 0 0 0 5 3 48000503
+0 0 0 0 0 0 5 4 48000504
+0 0 0 0 0 0 5 5 48000505
+0 0 0 0 0 0 5 6 48000506
+0 0 0 0 0 0 5 7 48000507
+0 0 0 0 0 0 5 8 48000508
+0 0 0 0 0 0 5 9 48000509
+0 0 0 0 0 0 5 10 48000510
+0 0 0 0 0 0 5 11 48000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 -42010502
+1 0 0 0 0 0 5 1 -42000502
+1 0 0 0 0 0 5 2 48000502
+1 0 0 0 0 0 5 3 48000503
+1 0 0 0 0 0 5 4 48000504
+1 0 0 0 0 0 5 5 48000505
+1 0 0 0 0 0 5 6 48000506
+1 0 0 0 0 0 5 7 48000507
+1 0 0 0 0 0 5 8 48000508
+1 0 0 0 0 0 5 9 48000509
+1 0 0 0 0 0 5 10 48000510
+1 0 0 0 0 0 5 11 48000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fzz.xl b/CarpetAttic/Cart3dTest/test/axial-xz/fzz.xl
new file mode 100644
index 000000000..6eee591c2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fzz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fzz x (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 49000502
+0 0 0 0 0 1 5 2 49010502
+0 0 0 0 0 2 5 2 49020502
+0 0 0 0 0 3 5 2 49030502
+0 0 0 0 0 4 5 2 49040502
+0 0 0 0 0 5 5 2 49050502
+0 0 0 0 0 6 5 2 49060502
+0 0 0 0 0 7 5 2 49070502
+0 0 0 0 0 8 5 2 49080502
+0 0 0 0 0 9 5 2 49090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 49000502
+1 0 0 0 0 1 5 2 49010502
+1 0 0 0 0 2 5 2 49020502
+1 0 0 0 0 3 5 2 49030502
+1 0 0 0 0 4 5 2 49040502
+1 0 0 0 0 5 5 2 49050502
+1 0 0 0 0 6 5 2 49060502
+1 0 0 0 0 7 5 2 49070502
+1 0 0 0 0 8 5 2 49080502
+1 0 0 0 0 9 5 2 49090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fzz.yl b/CarpetAttic/Cart3dTest/test/axial-xz/fzz.yl
new file mode 100644
index 000000000..5200c0bbb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz y (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 49000002
+0 0 0 0 0 0 1 2 49000102
+0 0 0 0 0 0 2 2 49000202
+0 0 0 0 0 0 3 2 49000302
+0 0 0 0 0 0 4 2 49000402
+0 0 0 0 0 0 5 2 49000502
+0 0 0 0 0 0 6 2 49000602
+0 0 0 0 0 0 7 2 49000702
+0 0 0 0 0 0 8 2 49000802
+0 0 0 0 0 0 9 2 49000902
+0 0 0 0 0 0 10 2 49001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 49000002
+1 0 0 0 0 0 1 2 49000102
+1 0 0 0 0 0 2 2 49000202
+1 0 0 0 0 0 3 2 49000302
+1 0 0 0 0 0 4 2 49000402
+1 0 0 0 0 0 5 2 49000502
+1 0 0 0 0 0 6 2 49000602
+1 0 0 0 0 0 7 2 49000702
+1 0 0 0 0 0 8 2 49000802
+1 0 0 0 0 0 9 2 49000902
+1 0 0 0 0 0 10 2 49001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/fzz.zl b/CarpetAttic/Cart3dTest/test/axial-xz/fzz.zl
new file mode 100644
index 000000000..c3e4724f8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/fzz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzz z (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 49000500
+0 0 0 0 0 0 5 1 49000501
+0 0 0 0 0 0 5 2 49000502
+0 0 0 0 0 0 5 3 49000503
+0 0 0 0 0 0 5 4 49000504
+0 0 0 0 0 0 5 5 49000505
+0 0 0 0 0 0 5 6 49000506
+0 0 0 0 0 0 5 7 49000507
+0 0 0 0 0 0 5 8 49000508
+0 0 0 0 0 0 5 9 49000509
+0 0 0 0 0 0 5 10 49000510
+0 0 0 0 0 0 5 11 49000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 41010502
+1 0 0 0 0 0 5 1 41000502
+1 0 0 0 0 0 5 2 49000502
+1 0 0 0 0 0 5 3 49000503
+1 0 0 0 0 0 5 4 49000504
+1 0 0 0 0 0 5 5 49000505
+1 0 0 0 0 0 5 6 49000506
+1 0 0 0 0 0 5 7 49000507
+1 0 0 0 0 0 5 8 49000508
+1 0 0 0 0 0 5 9 49000509
+1 0 0 0 0 0 5 10 49000510
+1 0 0 0 0 0 5 11 49000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/s.xl b/CarpetAttic/Cart3dTest/test/axial-xz/s.xl
new file mode 100644
index 000000000..7becd18f1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/s.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::s x (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 1000502
+0 0 0 0 0 1 5 2 1010502
+0 0 0 0 0 2 5 2 1020502
+0 0 0 0 0 3 5 2 1030502
+0 0 0 0 0 4 5 2 1040502
+0 0 0 0 0 5 5 2 1050502
+0 0 0 0 0 6 5 2 1060502
+0 0 0 0 0 7 5 2 1070502
+0 0 0 0 0 8 5 2 1080502
+0 0 0 0 0 9 5 2 1090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 1000502
+1 0 0 0 0 1 5 2 1010502
+1 0 0 0 0 2 5 2 1020502
+1 0 0 0 0 3 5 2 1030502
+1 0 0 0 0 4 5 2 1040502
+1 0 0 0 0 5 5 2 1050502
+1 0 0 0 0 6 5 2 1060502
+1 0 0 0 0 7 5 2 1070502
+1 0 0 0 0 8 5 2 1080502
+1 0 0 0 0 9 5 2 1090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/s.yl b/CarpetAttic/Cart3dTest/test/axial-xz/s.yl
new file mode 100644
index 000000000..3c3794e6d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/s.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::s y (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 1000002
+0 0 0 0 0 0 1 2 1000102
+0 0 0 0 0 0 2 2 1000202
+0 0 0 0 0 0 3 2 1000302
+0 0 0 0 0 0 4 2 1000402
+0 0 0 0 0 0 5 2 1000502
+0 0 0 0 0 0 6 2 1000602
+0 0 0 0 0 0 7 2 1000702
+0 0 0 0 0 0 8 2 1000802
+0 0 0 0 0 0 9 2 1000902
+0 0 0 0 0 0 10 2 1001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 1000002
+1 0 0 0 0 0 1 2 1000102
+1 0 0 0 0 0 2 2 1000202
+1 0 0 0 0 0 3 2 1000302
+1 0 0 0 0 0 4 2 1000402
+1 0 0 0 0 0 5 2 1000502
+1 0 0 0 0 0 6 2 1000602
+1 0 0 0 0 0 7 2 1000702
+1 0 0 0 0 0 8 2 1000802
+1 0 0 0 0 0 9 2 1000902
+1 0 0 0 0 0 10 2 1001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/s.zl b/CarpetAttic/Cart3dTest/test/axial-xz/s.zl
new file mode 100644
index 000000000..e912f74c2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/s.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::s z (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 1000500
+0 0 0 0 0 0 5 1 1000501
+0 0 0 0 0 0 5 2 1000502
+0 0 0 0 0 0 5 3 1000503
+0 0 0 0 0 0 5 4 1000504
+0 0 0 0 0 0 5 5 1000505
+0 0 0 0 0 0 5 6 1000506
+0 0 0 0 0 0 5 7 1000507
+0 0 0 0 0 0 5 8 1000508
+0 0 0 0 0 0 5 9 1000509
+0 0 0 0 0 0 5 10 1000510
+0 0 0 0 0 0 5 11 1000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 1010502
+1 0 0 0 0 0 5 1 1000502
+1 0 0 0 0 0 5 2 1000502
+1 0 0 0 0 0 5 3 1000503
+1 0 0 0 0 0 5 4 1000504
+1 0 0 0 0 0 5 5 1000505
+1 0 0 0 0 0 5 6 1000506
+1 0 0 0 0 0 5 7 1000507
+1 0 0 0 0 0 5 8 1000508
+1 0 0 0 0 0 5 9 1000509
+1 0 0 0 0 0 5 10 1000510
+1 0 0 0 0 0 5 11 1000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/axial-xz/spher3d_r.xl
new file mode 100644
index 000000000..7efce477f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/spher3d_r.xl
@@ -0,0 +1,32 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 0.259807621135332
+0 0 0 0 0 1 5 2 0.49749371855331
+0 0 0 0 0 2 5 2 0.779422863405995
+0 0 0 0 0 3 5 2 1.07121426428143
+0 0 0 0 0 4 5 2 1.36656503687164
+0 0 0 0 0 5 5 2 1.66358047596141
+0 0 0 0 0 6 5 2 1.9615045245933
+0 0 0 0 0 7 5 2 2.2599778759979
+0 0 0 0 0 8 5 2 2.5588083163848
+0 0 0 0 0 9 5 2 2.85788383248865
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 0.259807621135332
+1 0 0 0 0 1 5 2 0.49749371855331
+1 0 0 0 0 2 5 2 0.779422863405995
+1 0 0 0 0 3 5 2 1.07121426428143
+1 0 0 0 0 4 5 2 1.36656503687164
+1 0 0 0 0 5 5 2 1.66358047596141
+1 0 0 0 0 6 5 2 1.9615045245933
+1 0 0 0 0 7 5 2 2.2599778759979
+1 0 0 0 0 8 5 2 2.5588083163848
+1 0 0 0 0 9 5 2 2.85788383248865
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/axial-xz/spher3d_r.yl
new file mode 100644
index 000000000..4ddf0c5ee
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/spher3d_r.yl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 1.36656503687164
+0 0 0 0 0 0 1 2 1.07121426428143
+0 0 0 0 0 0 2 2 0.779422863405995
+0 0 0 0 0 0 3 2 0.49749371855331
+0 0 0 0 0 0 4 2 0.259807621135332
+0 0 0 0 0 0 5 2 0.259807621135332
+0 0 0 0 0 0 6 2 0.49749371855331
+0 0 0 0 0 0 7 2 0.779422863405995
+0 0 0 0 0 0 8 2 1.07121426428143
+0 0 0 0 0 0 9 2 1.36656503687164
+0 0 0 0 0 0 10 2 1.66358047596141
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 1.36656503687164
+1 0 0 0 0 0 1 2 1.07121426428143
+1 0 0 0 0 0 2 2 0.779422863405995
+1 0 0 0 0 0 3 2 0.49749371855331
+1 0 0 0 0 0 4 2 0.259807621135332
+1 0 0 0 0 0 5 2 0.259807621135332
+1 0 0 0 0 0 6 2 0.49749371855331
+1 0 0 0 0 0 7 2 0.779422863405995
+1 0 0 0 0 0 8 2 1.07121426428143
+1 0 0 0 0 0 9 2 1.36656503687164
+1 0 0 0 0 0 10 2 1.66358047596141
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/axial-xz/spher3d_r.zl
new file mode 100644
index 000000000..20ed189a5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/spher3d_r.zl
@@ -0,0 +1,36 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 0.49749371855331
+0 0 0 0 0 0 5 1 0.259807621135332
+0 0 0 0 0 0 5 2 0.259807621135332
+0 0 0 0 0 0 5 3 0.49749371855331
+0 0 0 0 0 0 5 4 0.779422863405995
+0 0 0 0 0 0 5 5 1.07121426428143
+0 0 0 0 0 0 5 6 1.36656503687164
+0 0 0 0 0 0 5 7 1.66358047596141
+0 0 0 0 0 0 5 8 1.9615045245933
+0 0 0 0 0 0 5 9 2.2599778759979
+0 0 0 0 0 0 5 10 2.5588083163848
+0 0 0 0 0 0 5 11 2.85788383248865
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 0.49749371855331
+1 0 0 0 0 0 5 1 0.259807621135332
+1 0 0 0 0 0 5 2 0.259807621135332
+1 0 0 0 0 0 5 3 0.49749371855331
+1 0 0 0 0 0 5 4 0.779422863405995
+1 0 0 0 0 0 5 5 1.07121426428143
+1 0 0 0 0 0 5 6 1.36656503687164
+1 0 0 0 0 0 5 7 1.66358047596141
+1 0 0 0 0 0 5 8 1.9615045245933
+1 0 0 0 0 0 5 9 2.2599778759979
+1 0 0 0 0 0 5 10 2.5588083163848
+1 0 0 0 0 0 5 11 2.85788383248865
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/txx.xl b/CarpetAttic/Cart3dTest/test/axial-xz/txx.xl
new file mode 100644
index 000000000..dddc57d42
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/txx.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::txx x (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 21000502
+0 0 0 0 0 1 5 2 21010502
+0 0 0 0 0 2 5 2 21020502
+0 0 0 0 0 3 5 2 21030502
+0 0 0 0 0 4 5 2 21040502
+0 0 0 0 0 5 5 2 21050502
+0 0 0 0 0 6 5 2 21060502
+0 0 0 0 0 7 5 2 21070502
+0 0 0 0 0 8 5 2 21080502
+0 0 0 0 0 9 5 2 21090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 21000502
+1 0 0 0 0 1 5 2 21010502
+1 0 0 0 0 2 5 2 21020502
+1 0 0 0 0 3 5 2 21030502
+1 0 0 0 0 4 5 2 21040502
+1 0 0 0 0 5 5 2 21050502
+1 0 0 0 0 6 5 2 21060502
+1 0 0 0 0 7 5 2 21070502
+1 0 0 0 0 8 5 2 21080502
+1 0 0 0 0 9 5 2 21090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/txx.yl b/CarpetAttic/Cart3dTest/test/axial-xz/txx.yl
new file mode 100644
index 000000000..f144e6ce7
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/txx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx y (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 21000002
+0 0 0 0 0 0 1 2 21000102
+0 0 0 0 0 0 2 2 21000202
+0 0 0 0 0 0 3 2 21000302
+0 0 0 0 0 0 4 2 21000402
+0 0 0 0 0 0 5 2 21000502
+0 0 0 0 0 0 6 2 21000602
+0 0 0 0 0 0 7 2 21000702
+0 0 0 0 0 0 8 2 21000802
+0 0 0 0 0 0 9 2 21000902
+0 0 0 0 0 0 10 2 21001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 21000002
+1 0 0 0 0 0 1 2 21000102
+1 0 0 0 0 0 2 2 21000202
+1 0 0 0 0 0 3 2 21000302
+1 0 0 0 0 0 4 2 21000402
+1 0 0 0 0 0 5 2 21000502
+1 0 0 0 0 0 6 2 21000602
+1 0 0 0 0 0 7 2 21000702
+1 0 0 0 0 0 8 2 21000802
+1 0 0 0 0 0 9 2 21000902
+1 0 0 0 0 0 10 2 21001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/txx.zl b/CarpetAttic/Cart3dTest/test/axial-xz/txx.zl
new file mode 100644
index 000000000..f88a697ea
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/txx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::txx z (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 21000500
+0 0 0 0 0 0 5 1 21000501
+0 0 0 0 0 0 5 2 21000502
+0 0 0 0 0 0 5 3 21000503
+0 0 0 0 0 0 5 4 21000504
+0 0 0 0 0 0 5 5 21000505
+0 0 0 0 0 0 5 6 21000506
+0 0 0 0 0 0 5 7 21000507
+0 0 0 0 0 0 5 8 21000508
+0 0 0 0 0 0 5 9 21000509
+0 0 0 0 0 0 5 10 21000510
+0 0 0 0 0 0 5 11 21000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 26010502
+1 0 0 0 0 0 5 1 26000502
+1 0 0 0 0 0 5 2 21000502
+1 0 0 0 0 0 5 3 21000503
+1 0 0 0 0 0 5 4 21000504
+1 0 0 0 0 0 5 5 21000505
+1 0 0 0 0 0 5 6 21000506
+1 0 0 0 0 0 5 7 21000507
+1 0 0 0 0 0 5 8 21000508
+1 0 0 0 0 0 5 9 21000509
+1 0 0 0 0 0 5 10 21000510
+1 0 0 0 0 0 5 11 21000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/txy.xl b/CarpetAttic/Cart3dTest/test/axial-xz/txy.xl
new file mode 100644
index 000000000..800bad062
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/txy.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::txy x (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 22000502
+0 0 0 0 0 1 5 2 22010502
+0 0 0 0 0 2 5 2 22020502
+0 0 0 0 0 3 5 2 22030502
+0 0 0 0 0 4 5 2 22040502
+0 0 0 0 0 5 5 2 22050502
+0 0 0 0 0 6 5 2 22060502
+0 0 0 0 0 7 5 2 22070502
+0 0 0 0 0 8 5 2 22080502
+0 0 0 0 0 9 5 2 22090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 22000502
+1 0 0 0 0 1 5 2 22010502
+1 0 0 0 0 2 5 2 22020502
+1 0 0 0 0 3 5 2 22030502
+1 0 0 0 0 4 5 2 22040502
+1 0 0 0 0 5 5 2 22050502
+1 0 0 0 0 6 5 2 22060502
+1 0 0 0 0 7 5 2 22070502
+1 0 0 0 0 8 5 2 22080502
+1 0 0 0 0 9 5 2 22090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/txy.yl b/CarpetAttic/Cart3dTest/test/axial-xz/txy.yl
new file mode 100644
index 000000000..ea7036831
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/txy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy y (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 22000002
+0 0 0 0 0 0 1 2 22000102
+0 0 0 0 0 0 2 2 22000202
+0 0 0 0 0 0 3 2 22000302
+0 0 0 0 0 0 4 2 22000402
+0 0 0 0 0 0 5 2 22000502
+0 0 0 0 0 0 6 2 22000602
+0 0 0 0 0 0 7 2 22000702
+0 0 0 0 0 0 8 2 22000802
+0 0 0 0 0 0 9 2 22000902
+0 0 0 0 0 0 10 2 22001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 22000002
+1 0 0 0 0 0 1 2 22000102
+1 0 0 0 0 0 2 2 22000202
+1 0 0 0 0 0 3 2 22000302
+1 0 0 0 0 0 4 2 22000402
+1 0 0 0 0 0 5 2 22000502
+1 0 0 0 0 0 6 2 22000602
+1 0 0 0 0 0 7 2 22000702
+1 0 0 0 0 0 8 2 22000802
+1 0 0 0 0 0 9 2 22000902
+1 0 0 0 0 0 10 2 22001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/txy.zl b/CarpetAttic/Cart3dTest/test/axial-xz/txy.zl
new file mode 100644
index 000000000..e35d489d7
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/txy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::txy z (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 22000500
+0 0 0 0 0 0 5 1 22000501
+0 0 0 0 0 0 5 2 22000502
+0 0 0 0 0 0 5 3 22000503
+0 0 0 0 0 0 5 4 22000504
+0 0 0 0 0 0 5 5 22000505
+0 0 0 0 0 0 5 6 22000506
+0 0 0 0 0 0 5 7 22000507
+0 0 0 0 0 0 5 8 22000508
+0 0 0 0 0 0 5 9 22000509
+0 0 0 0 0 0 5 10 22000510
+0 0 0 0 0 0 5 11 22000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 25010502
+1 0 0 0 0 0 5 1 25000502
+1 0 0 0 0 0 5 2 22000502
+1 0 0 0 0 0 5 3 22000503
+1 0 0 0 0 0 5 4 22000504
+1 0 0 0 0 0 5 5 22000505
+1 0 0 0 0 0 5 6 22000506
+1 0 0 0 0 0 5 7 22000507
+1 0 0 0 0 0 5 8 22000508
+1 0 0 0 0 0 5 9 22000509
+1 0 0 0 0 0 5 10 22000510
+1 0 0 0 0 0 5 11 22000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/txz.xl b/CarpetAttic/Cart3dTest/test/axial-xz/txz.xl
new file mode 100644
index 000000000..324c18d16
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/txz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::txz x (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 23000502
+0 0 0 0 0 1 5 2 23010502
+0 0 0 0 0 2 5 2 23020502
+0 0 0 0 0 3 5 2 23030502
+0 0 0 0 0 4 5 2 23040502
+0 0 0 0 0 5 5 2 23050502
+0 0 0 0 0 6 5 2 23060502
+0 0 0 0 0 7 5 2 23070502
+0 0 0 0 0 8 5 2 23080502
+0 0 0 0 0 9 5 2 23090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 23000502
+1 0 0 0 0 1 5 2 23010502
+1 0 0 0 0 2 5 2 23020502
+1 0 0 0 0 3 5 2 23030502
+1 0 0 0 0 4 5 2 23040502
+1 0 0 0 0 5 5 2 23050502
+1 0 0 0 0 6 5 2 23060502
+1 0 0 0 0 7 5 2 23070502
+1 0 0 0 0 8 5 2 23080502
+1 0 0 0 0 9 5 2 23090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/txz.yl b/CarpetAttic/Cart3dTest/test/axial-xz/txz.yl
new file mode 100644
index 000000000..40b3b86b1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/txz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz y (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 23000002
+0 0 0 0 0 0 1 2 23000102
+0 0 0 0 0 0 2 2 23000202
+0 0 0 0 0 0 3 2 23000302
+0 0 0 0 0 0 4 2 23000402
+0 0 0 0 0 0 5 2 23000502
+0 0 0 0 0 0 6 2 23000602
+0 0 0 0 0 0 7 2 23000702
+0 0 0 0 0 0 8 2 23000802
+0 0 0 0 0 0 9 2 23000902
+0 0 0 0 0 0 10 2 23001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 23000002
+1 0 0 0 0 0 1 2 23000102
+1 0 0 0 0 0 2 2 23000202
+1 0 0 0 0 0 3 2 23000302
+1 0 0 0 0 0 4 2 23000402
+1 0 0 0 0 0 5 2 23000502
+1 0 0 0 0 0 6 2 23000602
+1 0 0 0 0 0 7 2 23000702
+1 0 0 0 0 0 8 2 23000802
+1 0 0 0 0 0 9 2 23000902
+1 0 0 0 0 0 10 2 23001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/txz.zl b/CarpetAttic/Cart3dTest/test/axial-xz/txz.zl
new file mode 100644
index 000000000..1c30c5d89
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/txz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::txz z (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 23000500
+0 0 0 0 0 0 5 1 23000501
+0 0 0 0 0 0 5 2 23000502
+0 0 0 0 0 0 5 3 23000503
+0 0 0 0 0 0 5 4 23000504
+0 0 0 0 0 0 5 5 23000505
+0 0 0 0 0 0 5 6 23000506
+0 0 0 0 0 0 5 7 23000507
+0 0 0 0 0 0 5 8 23000508
+0 0 0 0 0 0 5 9 23000509
+0 0 0 0 0 0 5 10 23000510
+0 0 0 0 0 0 5 11 23000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 -23010502
+1 0 0 0 0 0 5 1 -23000502
+1 0 0 0 0 0 5 2 23000502
+1 0 0 0 0 0 5 3 23000503
+1 0 0 0 0 0 5 4 23000504
+1 0 0 0 0 0 5 5 23000505
+1 0 0 0 0 0 5 6 23000506
+1 0 0 0 0 0 5 7 23000507
+1 0 0 0 0 0 5 8 23000508
+1 0 0 0 0 0 5 9 23000509
+1 0 0 0 0 0 5 10 23000510
+1 0 0 0 0 0 5 11 23000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/tyy.xl b/CarpetAttic/Cart3dTest/test/axial-xz/tyy.xl
new file mode 100644
index 000000000..c9dfea5cd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/tyy.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::tyy x (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 24000502
+0 0 0 0 0 1 5 2 24010502
+0 0 0 0 0 2 5 2 24020502
+0 0 0 0 0 3 5 2 24030502
+0 0 0 0 0 4 5 2 24040502
+0 0 0 0 0 5 5 2 24050502
+0 0 0 0 0 6 5 2 24060502
+0 0 0 0 0 7 5 2 24070502
+0 0 0 0 0 8 5 2 24080502
+0 0 0 0 0 9 5 2 24090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 24000502
+1 0 0 0 0 1 5 2 24010502
+1 0 0 0 0 2 5 2 24020502
+1 0 0 0 0 3 5 2 24030502
+1 0 0 0 0 4 5 2 24040502
+1 0 0 0 0 5 5 2 24050502
+1 0 0 0 0 6 5 2 24060502
+1 0 0 0 0 7 5 2 24070502
+1 0 0 0 0 8 5 2 24080502
+1 0 0 0 0 9 5 2 24090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/tyy.yl b/CarpetAttic/Cart3dTest/test/axial-xz/tyy.yl
new file mode 100644
index 000000000..70ada4bb7
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/tyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy y (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 24000002
+0 0 0 0 0 0 1 2 24000102
+0 0 0 0 0 0 2 2 24000202
+0 0 0 0 0 0 3 2 24000302
+0 0 0 0 0 0 4 2 24000402
+0 0 0 0 0 0 5 2 24000502
+0 0 0 0 0 0 6 2 24000602
+0 0 0 0 0 0 7 2 24000702
+0 0 0 0 0 0 8 2 24000802
+0 0 0 0 0 0 9 2 24000902
+0 0 0 0 0 0 10 2 24001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 24000002
+1 0 0 0 0 0 1 2 24000102
+1 0 0 0 0 0 2 2 24000202
+1 0 0 0 0 0 3 2 24000302
+1 0 0 0 0 0 4 2 24000402
+1 0 0 0 0 0 5 2 24000502
+1 0 0 0 0 0 6 2 24000602
+1 0 0 0 0 0 7 2 24000702
+1 0 0 0 0 0 8 2 24000802
+1 0 0 0 0 0 9 2 24000902
+1 0 0 0 0 0 10 2 24001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/tyy.zl b/CarpetAttic/Cart3dTest/test/axial-xz/tyy.zl
new file mode 100644
index 000000000..9e4ed8e14
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/tyy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::tyy z (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 24000500
+0 0 0 0 0 0 5 1 24000501
+0 0 0 0 0 0 5 2 24000502
+0 0 0 0 0 0 5 3 24000503
+0 0 0 0 0 0 5 4 24000504
+0 0 0 0 0 0 5 5 24000505
+0 0 0 0 0 0 5 6 24000506
+0 0 0 0 0 0 5 7 24000507
+0 0 0 0 0 0 5 8 24000508
+0 0 0 0 0 0 5 9 24000509
+0 0 0 0 0 0 5 10 24000510
+0 0 0 0 0 0 5 11 24000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 24010502
+1 0 0 0 0 0 5 1 24000502
+1 0 0 0 0 0 5 2 24000502
+1 0 0 0 0 0 5 3 24000503
+1 0 0 0 0 0 5 4 24000504
+1 0 0 0 0 0 5 5 24000505
+1 0 0 0 0 0 5 6 24000506
+1 0 0 0 0 0 5 7 24000507
+1 0 0 0 0 0 5 8 24000508
+1 0 0 0 0 0 5 9 24000509
+1 0 0 0 0 0 5 10 24000510
+1 0 0 0 0 0 5 11 24000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/tyz.xl b/CarpetAttic/Cart3dTest/test/axial-xz/tyz.xl
new file mode 100644
index 000000000..a17e87241
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/tyz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::tyz x (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 25000502
+0 0 0 0 0 1 5 2 25010502
+0 0 0 0 0 2 5 2 25020502
+0 0 0 0 0 3 5 2 25030502
+0 0 0 0 0 4 5 2 25040502
+0 0 0 0 0 5 5 2 25050502
+0 0 0 0 0 6 5 2 25060502
+0 0 0 0 0 7 5 2 25070502
+0 0 0 0 0 8 5 2 25080502
+0 0 0 0 0 9 5 2 25090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 25000502
+1 0 0 0 0 1 5 2 25010502
+1 0 0 0 0 2 5 2 25020502
+1 0 0 0 0 3 5 2 25030502
+1 0 0 0 0 4 5 2 25040502
+1 0 0 0 0 5 5 2 25050502
+1 0 0 0 0 6 5 2 25060502
+1 0 0 0 0 7 5 2 25070502
+1 0 0 0 0 8 5 2 25080502
+1 0 0 0 0 9 5 2 25090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/tyz.yl b/CarpetAttic/Cart3dTest/test/axial-xz/tyz.yl
new file mode 100644
index 000000000..5cd432b3b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/tyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz y (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 25000002
+0 0 0 0 0 0 1 2 25000102
+0 0 0 0 0 0 2 2 25000202
+0 0 0 0 0 0 3 2 25000302
+0 0 0 0 0 0 4 2 25000402
+0 0 0 0 0 0 5 2 25000502
+0 0 0 0 0 0 6 2 25000602
+0 0 0 0 0 0 7 2 25000702
+0 0 0 0 0 0 8 2 25000802
+0 0 0 0 0 0 9 2 25000902
+0 0 0 0 0 0 10 2 25001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 25000002
+1 0 0 0 0 0 1 2 25000102
+1 0 0 0 0 0 2 2 25000202
+1 0 0 0 0 0 3 2 25000302
+1 0 0 0 0 0 4 2 25000402
+1 0 0 0 0 0 5 2 25000502
+1 0 0 0 0 0 6 2 25000602
+1 0 0 0 0 0 7 2 25000702
+1 0 0 0 0 0 8 2 25000802
+1 0 0 0 0 0 9 2 25000902
+1 0 0 0 0 0 10 2 25001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/tyz.zl b/CarpetAttic/Cart3dTest/test/axial-xz/tyz.zl
new file mode 100644
index 000000000..fad94ff2a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/tyz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::tyz z (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 25000500
+0 0 0 0 0 0 5 1 25000501
+0 0 0 0 0 0 5 2 25000502
+0 0 0 0 0 0 5 3 25000503
+0 0 0 0 0 0 5 4 25000504
+0 0 0 0 0 0 5 5 25000505
+0 0 0 0 0 0 5 6 25000506
+0 0 0 0 0 0 5 7 25000507
+0 0 0 0 0 0 5 8 25000508
+0 0 0 0 0 0 5 9 25000509
+0 0 0 0 0 0 5 10 25000510
+0 0 0 0 0 0 5 11 25000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 -22010502
+1 0 0 0 0 0 5 1 -22000502
+1 0 0 0 0 0 5 2 25000502
+1 0 0 0 0 0 5 3 25000503
+1 0 0 0 0 0 5 4 25000504
+1 0 0 0 0 0 5 5 25000505
+1 0 0 0 0 0 5 6 25000506
+1 0 0 0 0 0 5 7 25000507
+1 0 0 0 0 0 5 8 25000508
+1 0 0 0 0 0 5 9 25000509
+1 0 0 0 0 0 5 10 25000510
+1 0 0 0 0 0 5 11 25000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/tzz.xl b/CarpetAttic/Cart3dTest/test/axial-xz/tzz.xl
new file mode 100644
index 000000000..e32b9e3a6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/tzz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::tzz x (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 26000502
+0 0 0 0 0 1 5 2 26010502
+0 0 0 0 0 2 5 2 26020502
+0 0 0 0 0 3 5 2 26030502
+0 0 0 0 0 4 5 2 26040502
+0 0 0 0 0 5 5 2 26050502
+0 0 0 0 0 6 5 2 26060502
+0 0 0 0 0 7 5 2 26070502
+0 0 0 0 0 8 5 2 26080502
+0 0 0 0 0 9 5 2 26090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 26000502
+1 0 0 0 0 1 5 2 26010502
+1 0 0 0 0 2 5 2 26020502
+1 0 0 0 0 3 5 2 26030502
+1 0 0 0 0 4 5 2 26040502
+1 0 0 0 0 5 5 2 26050502
+1 0 0 0 0 6 5 2 26060502
+1 0 0 0 0 7 5 2 26070502
+1 0 0 0 0 8 5 2 26080502
+1 0 0 0 0 9 5 2 26090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/tzz.yl b/CarpetAttic/Cart3dTest/test/axial-xz/tzz.yl
new file mode 100644
index 000000000..8029eb624
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/tzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz y (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 26000002
+0 0 0 0 0 0 1 2 26000102
+0 0 0 0 0 0 2 2 26000202
+0 0 0 0 0 0 3 2 26000302
+0 0 0 0 0 0 4 2 26000402
+0 0 0 0 0 0 5 2 26000502
+0 0 0 0 0 0 6 2 26000602
+0 0 0 0 0 0 7 2 26000702
+0 0 0 0 0 0 8 2 26000802
+0 0 0 0 0 0 9 2 26000902
+0 0 0 0 0 0 10 2 26001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 26000002
+1 0 0 0 0 0 1 2 26000102
+1 0 0 0 0 0 2 2 26000202
+1 0 0 0 0 0 3 2 26000302
+1 0 0 0 0 0 4 2 26000402
+1 0 0 0 0 0 5 2 26000502
+1 0 0 0 0 0 6 2 26000602
+1 0 0 0 0 0 7 2 26000702
+1 0 0 0 0 0 8 2 26000802
+1 0 0 0 0 0 9 2 26000902
+1 0 0 0 0 0 10 2 26001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/tzz.zl b/CarpetAttic/Cart3dTest/test/axial-xz/tzz.zl
new file mode 100644
index 000000000..99c316841
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/tzz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::tzz z (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 26000500
+0 0 0 0 0 0 5 1 26000501
+0 0 0 0 0 0 5 2 26000502
+0 0 0 0 0 0 5 3 26000503
+0 0 0 0 0 0 5 4 26000504
+0 0 0 0 0 0 5 5 26000505
+0 0 0 0 0 0 5 6 26000506
+0 0 0 0 0 0 5 7 26000507
+0 0 0 0 0 0 5 8 26000508
+0 0 0 0 0 0 5 9 26000509
+0 0 0 0 0 0 5 10 26000510
+0 0 0 0 0 0 5 11 26000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 21010502
+1 0 0 0 0 0 5 1 21000502
+1 0 0 0 0 0 5 2 26000502
+1 0 0 0 0 0 5 3 26000503
+1 0 0 0 0 0 5 4 26000504
+1 0 0 0 0 0 5 5 26000505
+1 0 0 0 0 0 5 6 26000506
+1 0 0 0 0 0 5 7 26000507
+1 0 0 0 0 0 5 8 26000508
+1 0 0 0 0 0 5 9 26000509
+1 0 0 0 0 0 5 10 26000510
+1 0 0 0 0 0 5 11 26000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/vx.xl b/CarpetAttic/Cart3dTest/test/axial-xz/vx.xl
new file mode 100644
index 000000000..31e489a4e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/vx.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 11000502
+0 0 0 0 0 1 5 2 11010502
+0 0 0 0 0 2 5 2 11020502
+0 0 0 0 0 3 5 2 11030502
+0 0 0 0 0 4 5 2 11040502
+0 0 0 0 0 5 5 2 11050502
+0 0 0 0 0 6 5 2 11060502
+0 0 0 0 0 7 5 2 11070502
+0 0 0 0 0 8 5 2 11080502
+0 0 0 0 0 9 5 2 11090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 11000502
+1 0 0 0 0 1 5 2 11010502
+1 0 0 0 0 2 5 2 11020502
+1 0 0 0 0 3 5 2 11030502
+1 0 0 0 0 4 5 2 11040502
+1 0 0 0 0 5 5 2 11050502
+1 0 0 0 0 6 5 2 11060502
+1 0 0 0 0 7 5 2 11070502
+1 0 0 0 0 8 5 2 11080502
+1 0 0 0 0 9 5 2 11090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/vx.yl b/CarpetAttic/Cart3dTest/test/axial-xz/vx.yl
new file mode 100644
index 000000000..b375f9e58
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/vx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 11000002
+0 0 0 0 0 0 1 2 11000102
+0 0 0 0 0 0 2 2 11000202
+0 0 0 0 0 0 3 2 11000302
+0 0 0 0 0 0 4 2 11000402
+0 0 0 0 0 0 5 2 11000502
+0 0 0 0 0 0 6 2 11000602
+0 0 0 0 0 0 7 2 11000702
+0 0 0 0 0 0 8 2 11000802
+0 0 0 0 0 0 9 2 11000902
+0 0 0 0 0 0 10 2 11001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 11000002
+1 0 0 0 0 0 1 2 11000102
+1 0 0 0 0 0 2 2 11000202
+1 0 0 0 0 0 3 2 11000302
+1 0 0 0 0 0 4 2 11000402
+1 0 0 0 0 0 5 2 11000502
+1 0 0 0 0 0 6 2 11000602
+1 0 0 0 0 0 7 2 11000702
+1 0 0 0 0 0 8 2 11000802
+1 0 0 0 0 0 9 2 11000902
+1 0 0 0 0 0 10 2 11001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/vx.zl b/CarpetAttic/Cart3dTest/test/axial-xz/vx.zl
new file mode 100644
index 000000000..bff9a8e61
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/vx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 11000500
+0 0 0 0 0 0 5 1 11000501
+0 0 0 0 0 0 5 2 11000502
+0 0 0 0 0 0 5 3 11000503
+0 0 0 0 0 0 5 4 11000504
+0 0 0 0 0 0 5 5 11000505
+0 0 0 0 0 0 5 6 11000506
+0 0 0 0 0 0 5 7 11000507
+0 0 0 0 0 0 5 8 11000508
+0 0 0 0 0 0 5 9 11000509
+0 0 0 0 0 0 5 10 11000510
+0 0 0 0 0 0 5 11 11000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 13010502
+1 0 0 0 0 0 5 1 13000502
+1 0 0 0 0 0 5 2 11000502
+1 0 0 0 0 0 5 3 11000503
+1 0 0 0 0 0 5 4 11000504
+1 0 0 0 0 0 5 5 11000505
+1 0 0 0 0 0 5 6 11000506
+1 0 0 0 0 0 5 7 11000507
+1 0 0 0 0 0 5 8 11000508
+1 0 0 0 0 0 5 9 11000509
+1 0 0 0 0 0 5 10 11000510
+1 0 0 0 0 0 5 11 11000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/vy.xl b/CarpetAttic/Cart3dTest/test/axial-xz/vy.xl
new file mode 100644
index 000000000..580b2bca5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/vy.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 12000502
+0 0 0 0 0 1 5 2 12010502
+0 0 0 0 0 2 5 2 12020502
+0 0 0 0 0 3 5 2 12030502
+0 0 0 0 0 4 5 2 12040502
+0 0 0 0 0 5 5 2 12050502
+0 0 0 0 0 6 5 2 12060502
+0 0 0 0 0 7 5 2 12070502
+0 0 0 0 0 8 5 2 12080502
+0 0 0 0 0 9 5 2 12090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 12000502
+1 0 0 0 0 1 5 2 12010502
+1 0 0 0 0 2 5 2 12020502
+1 0 0 0 0 3 5 2 12030502
+1 0 0 0 0 4 5 2 12040502
+1 0 0 0 0 5 5 2 12050502
+1 0 0 0 0 6 5 2 12060502
+1 0 0 0 0 7 5 2 12070502
+1 0 0 0 0 8 5 2 12080502
+1 0 0 0 0 9 5 2 12090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/vy.yl b/CarpetAttic/Cart3dTest/test/axial-xz/vy.yl
new file mode 100644
index 000000000..d2fb253b3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/vy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 12000002
+0 0 0 0 0 0 1 2 12000102
+0 0 0 0 0 0 2 2 12000202
+0 0 0 0 0 0 3 2 12000302
+0 0 0 0 0 0 4 2 12000402
+0 0 0 0 0 0 5 2 12000502
+0 0 0 0 0 0 6 2 12000602
+0 0 0 0 0 0 7 2 12000702
+0 0 0 0 0 0 8 2 12000802
+0 0 0 0 0 0 9 2 12000902
+0 0 0 0 0 0 10 2 12001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 12000002
+1 0 0 0 0 0 1 2 12000102
+1 0 0 0 0 0 2 2 12000202
+1 0 0 0 0 0 3 2 12000302
+1 0 0 0 0 0 4 2 12000402
+1 0 0 0 0 0 5 2 12000502
+1 0 0 0 0 0 6 2 12000602
+1 0 0 0 0 0 7 2 12000702
+1 0 0 0 0 0 8 2 12000802
+1 0 0 0 0 0 9 2 12000902
+1 0 0 0 0 0 10 2 12001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/vy.zl b/CarpetAttic/Cart3dTest/test/axial-xz/vy.zl
new file mode 100644
index 000000000..489b12467
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/vy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 12000500
+0 0 0 0 0 0 5 1 12000501
+0 0 0 0 0 0 5 2 12000502
+0 0 0 0 0 0 5 3 12000503
+0 0 0 0 0 0 5 4 12000504
+0 0 0 0 0 0 5 5 12000505
+0 0 0 0 0 0 5 6 12000506
+0 0 0 0 0 0 5 7 12000507
+0 0 0 0 0 0 5 8 12000508
+0 0 0 0 0 0 5 9 12000509
+0 0 0 0 0 0 5 10 12000510
+0 0 0 0 0 0 5 11 12000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 12010502
+1 0 0 0 0 0 5 1 12000502
+1 0 0 0 0 0 5 2 12000502
+1 0 0 0 0 0 5 3 12000503
+1 0 0 0 0 0 5 4 12000504
+1 0 0 0 0 0 5 5 12000505
+1 0 0 0 0 0 5 6 12000506
+1 0 0 0 0 0 5 7 12000507
+1 0 0 0 0 0 5 8 12000508
+1 0 0 0 0 0 5 9 12000509
+1 0 0 0 0 0 5 10 12000510
+1 0 0 0 0 0 5 11 12000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/vz.xl b/CarpetAttic/Cart3dTest/test/axial-xz/vz.xl
new file mode 100644
index 000000000..8ad842e74
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/vz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 13000502
+0 0 0 0 0 1 5 2 13010502
+0 0 0 0 0 2 5 2 13020502
+0 0 0 0 0 3 5 2 13030502
+0 0 0 0 0 4 5 2 13040502
+0 0 0 0 0 5 5 2 13050502
+0 0 0 0 0 6 5 2 13060502
+0 0 0 0 0 7 5 2 13070502
+0 0 0 0 0 8 5 2 13080502
+0 0 0 0 0 9 5 2 13090502
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 13000502
+1 0 0 0 0 1 5 2 13010502
+1 0 0 0 0 2 5 2 13020502
+1 0 0 0 0 3 5 2 13030502
+1 0 0 0 0 4 5 2 13040502
+1 0 0 0 0 5 5 2 13050502
+1 0 0 0 0 6 5 2 13060502
+1 0 0 0 0 7 5 2 13070502
+1 0 0 0 0 8 5 2 13080502
+1 0 0 0 0 9 5 2 13090502
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/vz.yl b/CarpetAttic/Cart3dTest/test/axial-xz/vz.yl
new file mode 100644
index 000000000..d32d9dac5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/vz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 13000002
+0 0 0 0 0 0 1 2 13000102
+0 0 0 0 0 0 2 2 13000202
+0 0 0 0 0 0 3 2 13000302
+0 0 0 0 0 0 4 2 13000402
+0 0 0 0 0 0 5 2 13000502
+0 0 0 0 0 0 6 2 13000602
+0 0 0 0 0 0 7 2 13000702
+0 0 0 0 0 0 8 2 13000802
+0 0 0 0 0 0 9 2 13000902
+0 0 0 0 0 0 10 2 13001002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 13000002
+1 0 0 0 0 0 1 2 13000102
+1 0 0 0 0 0 2 2 13000202
+1 0 0 0 0 0 3 2 13000302
+1 0 0 0 0 0 4 2 13000402
+1 0 0 0 0 0 5 2 13000502
+1 0 0 0 0 0 6 2 13000602
+1 0 0 0 0 0 7 2 13000702
+1 0 0 0 0 0 8 2 13000802
+1 0 0 0 0 0 9 2 13000902
+1 0 0 0 0 0 10 2 13001002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-xz/vz.zl b/CarpetAttic/Cart3dTest/test/axial-xz/vz.zl
new file mode 100644
index 000000000..e01f4b914
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-xz/vz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 13000500
+0 0 0 0 0 0 5 1 13000501
+0 0 0 0 0 0 5 2 13000502
+0 0 0 0 0 0 5 3 13000503
+0 0 0 0 0 0 5 4 13000504
+0 0 0 0 0 0 5 5 13000505
+0 0 0 0 0 0 5 6 13000506
+0 0 0 0 0 0 5 7 13000507
+0 0 0 0 0 0 5 8 13000508
+0 0 0 0 0 0 5 9 13000509
+0 0 0 0 0 0 5 10 13000510
+0 0 0 0 0 0 5 11 13000511
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 -11010502
+1 0 0 0 0 0 5 1 -11000502
+1 0 0 0 0 0 5 2 13000502
+1 0 0 0 0 0 5 3 13000503
+1 0 0 0 0 0 5 4 13000504
+1 0 0 0 0 0 5 5 13000505
+1 0 0 0 0 0 5 6 13000506
+1 0 0 0 0 0 5 7 13000507
+1 0 0 0 0 0 5 8 13000508
+1 0 0 0 0 0 5 9 13000509
+1 0 0 0 0 0 5 10 13000510
+1 0 0 0 0 0 5 11 13000511
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz.log b/CarpetAttic/Cart3dTest/test/axial-yz.log
new file mode 100644
index 000000000..f0462770e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz.log
@@ -0,0 +1,97 @@
+--------------------------------------------------------------------------------
+
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+
+Cactus version: 4.0.b11
+Compile date: Dec 14 2001 (21:50:34)
+Run date: Dec 14 2001 (21:51:06)
+Run host: lilypond.tat.physik.uni-tuebingen.de
+Parameter file: /home/eschnett/Calpha/Cactus/arrangements/Carpet/Cart3dTest/test/axial-yz.par
+--------------------------------------------------------------------------------
+
+Activating thorn Cactus...Success -> active implementation Cactus
+Activation requested for
+--->CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest<---
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+--------------------------------------------------------------------------------
+ if (recover)
+ Recover parameters
+ endif
+
+ Startup routines
+ Carpet: Startup routine
+ IOUtil: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOBasic: Startup routine
+ CarpetIOASCII: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+ if (recover)
+ endif
+ if (checkpoint initial data)
+ endif
+ if (analysis)
+ endif
+
+ do loop over timesteps
+ Rotate timelevels
+ iteration = iteration + 1
+ t = t+dt
+ Cart3dTest: Apply symmetry boundary conditions
+ if (checkpoint)
+ endif
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+INFO (Carpet): Carpet is running on 1 processors
+INFO (IOBasic): I/O Method 'Scalar' registered
+INFO (IOBasic): Scalar: Output of scalar quantities (grid scalars, reductions) to ASCII files
+INFO (IOBasic): I/O Method 'Info' registered
+INFO (IOBasic): Info: Output of scalar quantities (grid scalars, reductions) to screen
+INFO (Cart3d): Cartesian coordinates:
+INFO (Cart3d): Whole grid: lower bound [-1.35, -0.15, -0.45]
+INFO (Cart3d): Whole grid: upper bound [1.35, 2.85, 2.85]
+INFO (Cart3d): Whole grid: extent [3, 3.3, 3.6]
+INFO (Cart3d): Interior: lower bound [-1.35, 0.15, 0.15]
+INFO (Cart3d): Interior: upper bound [1.35, 2.55, 2.25]
+INFO (Cart3d): Interior: extent [3, 2.7, 2.4]
+INFO (Cart3d): Grid spacing: [0.3, 0.3, 0.3]
+INFO (IOBasic): Scalar: Output every -1 iterations
+INFO (IOBasic): Info: Output every -1 iterations
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz.par b/CarpetAttic/Cart3dTest/test/axial-yz.par
new file mode 100644
index 000000000..bb018346b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz.par
@@ -0,0 +1,21 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/axial-yz.par,v 1.5 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 1
+
+grid::type = "byspacing"
+grid::mode_yz = "axial"
+
+driver::global_nx = 10
+driver::global_ny = 11
+driver::global_nz = 12
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "axial-yz"
+IOASCII::out1D_vars = "grid::coordinates Cart3dTest::quantities"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/ax.xl b/CarpetAttic/Cart3dTest/test/axial-yz/ax.xl
new file mode 100644
index 000000000..507bf50db
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/ax.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::ax x (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 31000102
+0 0 0 0 0 1 1 2 31010102
+0 0 0 0 0 2 1 2 31020102
+0 0 0 0 0 3 1 2 31030102
+0 0 0 0 0 4 1 2 31040102
+0 0 0 0 0 5 1 2 31050102
+0 0 0 0 0 6 1 2 31060102
+0 0 0 0 0 7 1 2 31070102
+0 0 0 0 0 8 1 2 31080102
+0 0 0 0 0 9 1 2 31090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 31000102
+1 0 0 0 0 1 1 2 31010102
+1 0 0 0 0 2 1 2 31020102
+1 0 0 0 0 3 1 2 31030102
+1 0 0 0 0 4 1 2 31040102
+1 0 0 0 0 5 1 2 31050102
+1 0 0 0 0 6 1 2 31060102
+1 0 0 0 0 7 1 2 31070102
+1 0 0 0 0 8 1 2 31080102
+1 0 0 0 0 9 1 2 31090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/ax.yl b/CarpetAttic/Cart3dTest/test/axial-yz/ax.yl
new file mode 100644
index 000000000..8f8c6dabe
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/ax.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax y (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 31050002
+0 0 0 0 0 5 1 2 31050102
+0 0 0 0 0 5 2 2 31050202
+0 0 0 0 0 5 3 2 31050302
+0 0 0 0 0 5 4 2 31050402
+0 0 0 0 0 5 5 2 31050502
+0 0 0 0 0 5 6 2 31050602
+0 0 0 0 0 5 7 2 31050702
+0 0 0 0 0 5 8 2 31050802
+0 0 0 0 0 5 9 2 31050902
+0 0 0 0 0 5 10 2 31051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 31050102
+1 0 0 0 0 5 1 2 31050102
+1 0 0 0 0 5 2 2 31050202
+1 0 0 0 0 5 3 2 31050302
+1 0 0 0 0 5 4 2 31050402
+1 0 0 0 0 5 5 2 31050502
+1 0 0 0 0 5 6 2 31050602
+1 0 0 0 0 5 7 2 31050702
+1 0 0 0 0 5 8 2 31050802
+1 0 0 0 0 5 9 2 31050902
+1 0 0 0 0 5 10 2 31051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/ax.zl b/CarpetAttic/Cart3dTest/test/axial-yz/ax.zl
new file mode 100644
index 000000000..91d0ac9b8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/ax.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::ax z (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 31050100
+0 0 0 0 0 5 1 1 31050101
+0 0 0 0 0 5 1 2 31050102
+0 0 0 0 0 5 1 3 31050103
+0 0 0 0 0 5 1 4 31050104
+0 0 0 0 0 5 1 5 31050105
+0 0 0 0 0 5 1 6 31050106
+0 0 0 0 0 5 1 7 31050107
+0 0 0 0 0 5 1 8 31050108
+0 0 0 0 0 5 1 9 31050109
+0 0 0 0 0 5 1 10 31050110
+0 0 0 0 0 5 1 11 31050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 31050202
+1 0 0 0 0 5 1 1 31050102
+1 0 0 0 0 5 1 2 31050102
+1 0 0 0 0 5 1 3 31050103
+1 0 0 0 0 5 1 4 31050104
+1 0 0 0 0 5 1 5 31050105
+1 0 0 0 0 5 1 6 31050106
+1 0 0 0 0 5 1 7 31050107
+1 0 0 0 0 5 1 8 31050108
+1 0 0 0 0 5 1 9 31050109
+1 0 0 0 0 5 1 10 31050110
+1 0 0 0 0 5 1 11 31050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/ay.xl b/CarpetAttic/Cart3dTest/test/axial-yz/ay.xl
new file mode 100644
index 000000000..677841993
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/ay.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::ay x (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 32000102
+0 0 0 0 0 1 1 2 32010102
+0 0 0 0 0 2 1 2 32020102
+0 0 0 0 0 3 1 2 32030102
+0 0 0 0 0 4 1 2 32040102
+0 0 0 0 0 5 1 2 32050102
+0 0 0 0 0 6 1 2 32060102
+0 0 0 0 0 7 1 2 32070102
+0 0 0 0 0 8 1 2 32080102
+0 0 0 0 0 9 1 2 32090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 32000102
+1 0 0 0 0 1 1 2 32010102
+1 0 0 0 0 2 1 2 32020102
+1 0 0 0 0 3 1 2 32030102
+1 0 0 0 0 4 1 2 32040102
+1 0 0 0 0 5 1 2 32050102
+1 0 0 0 0 6 1 2 32060102
+1 0 0 0 0 7 1 2 32070102
+1 0 0 0 0 8 1 2 32080102
+1 0 0 0 0 9 1 2 32090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/ay.yl b/CarpetAttic/Cart3dTest/test/axial-yz/ay.yl
new file mode 100644
index 000000000..ba32ae56c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/ay.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay y (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 32050002
+0 0 0 0 0 5 1 2 32050102
+0 0 0 0 0 5 2 2 32050202
+0 0 0 0 0 5 3 2 32050302
+0 0 0 0 0 5 4 2 32050402
+0 0 0 0 0 5 5 2 32050502
+0 0 0 0 0 5 6 2 32050602
+0 0 0 0 0 5 7 2 32050702
+0 0 0 0 0 5 8 2 32050802
+0 0 0 0 0 5 9 2 32050902
+0 0 0 0 0 5 10 2 32051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 33050102
+1 0 0 0 0 5 1 2 32050102
+1 0 0 0 0 5 2 2 32050202
+1 0 0 0 0 5 3 2 32050302
+1 0 0 0 0 5 4 2 32050402
+1 0 0 0 0 5 5 2 32050502
+1 0 0 0 0 5 6 2 32050602
+1 0 0 0 0 5 7 2 32050702
+1 0 0 0 0 5 8 2 32050802
+1 0 0 0 0 5 9 2 32050902
+1 0 0 0 0 5 10 2 32051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/ay.zl b/CarpetAttic/Cart3dTest/test/axial-yz/ay.zl
new file mode 100644
index 000000000..c401ceb75
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/ay.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::ay z (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 32050100
+0 0 0 0 0 5 1 1 32050101
+0 0 0 0 0 5 1 2 32050102
+0 0 0 0 0 5 1 3 32050103
+0 0 0 0 0 5 1 4 32050104
+0 0 0 0 0 5 1 5 32050105
+0 0 0 0 0 5 1 6 32050106
+0 0 0 0 0 5 1 7 32050107
+0 0 0 0 0 5 1 8 32050108
+0 0 0 0 0 5 1 9 32050109
+0 0 0 0 0 5 1 10 32050110
+0 0 0 0 0 5 1 11 32050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 -33050202
+1 0 0 0 0 5 1 1 -33050102
+1 0 0 0 0 5 1 2 32050102
+1 0 0 0 0 5 1 3 32050103
+1 0 0 0 0 5 1 4 32050104
+1 0 0 0 0 5 1 5 32050105
+1 0 0 0 0 5 1 6 32050106
+1 0 0 0 0 5 1 7 32050107
+1 0 0 0 0 5 1 8 32050108
+1 0 0 0 0 5 1 9 32050109
+1 0 0 0 0 5 1 10 32050110
+1 0 0 0 0 5 1 11 32050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/az.xl b/CarpetAttic/Cart3dTest/test/axial-yz/az.xl
new file mode 100644
index 000000000..028c08189
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/az.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::az x (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 33000102
+0 0 0 0 0 1 1 2 33010102
+0 0 0 0 0 2 1 2 33020102
+0 0 0 0 0 3 1 2 33030102
+0 0 0 0 0 4 1 2 33040102
+0 0 0 0 0 5 1 2 33050102
+0 0 0 0 0 6 1 2 33060102
+0 0 0 0 0 7 1 2 33070102
+0 0 0 0 0 8 1 2 33080102
+0 0 0 0 0 9 1 2 33090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 33000102
+1 0 0 0 0 1 1 2 33010102
+1 0 0 0 0 2 1 2 33020102
+1 0 0 0 0 3 1 2 33030102
+1 0 0 0 0 4 1 2 33040102
+1 0 0 0 0 5 1 2 33050102
+1 0 0 0 0 6 1 2 33060102
+1 0 0 0 0 7 1 2 33070102
+1 0 0 0 0 8 1 2 33080102
+1 0 0 0 0 9 1 2 33090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/az.yl b/CarpetAttic/Cart3dTest/test/axial-yz/az.yl
new file mode 100644
index 000000000..425b92670
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/az.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::az y (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 33050002
+0 0 0 0 0 5 1 2 33050102
+0 0 0 0 0 5 2 2 33050202
+0 0 0 0 0 5 3 2 33050302
+0 0 0 0 0 5 4 2 33050402
+0 0 0 0 0 5 5 2 33050502
+0 0 0 0 0 5 6 2 33050602
+0 0 0 0 0 5 7 2 33050702
+0 0 0 0 0 5 8 2 33050802
+0 0 0 0 0 5 9 2 33050902
+0 0 0 0 0 5 10 2 33051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 -32050102
+1 0 0 0 0 5 1 2 33050102
+1 0 0 0 0 5 2 2 33050202
+1 0 0 0 0 5 3 2 33050302
+1 0 0 0 0 5 4 2 33050402
+1 0 0 0 0 5 5 2 33050502
+1 0 0 0 0 5 6 2 33050602
+1 0 0 0 0 5 7 2 33050702
+1 0 0 0 0 5 8 2 33050802
+1 0 0 0 0 5 9 2 33050902
+1 0 0 0 0 5 10 2 33051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/az.zl b/CarpetAttic/Cart3dTest/test/axial-yz/az.zl
new file mode 100644
index 000000000..43f186915
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/az.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::az z (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 33050100
+0 0 0 0 0 5 1 1 33050101
+0 0 0 0 0 5 1 2 33050102
+0 0 0 0 0 5 1 3 33050103
+0 0 0 0 0 5 1 4 33050104
+0 0 0 0 0 5 1 5 33050105
+0 0 0 0 0 5 1 6 33050106
+0 0 0 0 0 5 1 7 33050107
+0 0 0 0 0 5 1 8 33050108
+0 0 0 0 0 5 1 9 33050109
+0 0 0 0 0 5 1 10 33050110
+0 0 0 0 0 5 1 11 33050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 32050202
+1 0 0 0 0 5 1 1 32050102
+1 0 0 0 0 5 1 2 33050102
+1 0 0 0 0 5 1 3 33050103
+1 0 0 0 0 5 1 4 33050104
+1 0 0 0 0 5 1 5 33050105
+1 0 0 0 0 5 1 6 33050106
+1 0 0 0 0 5 1 7 33050107
+1 0 0 0 0 5 1 8 33050108
+1 0 0 0 0 5 1 9 33050109
+1 0 0 0 0 5 1 10 33050110
+1 0 0 0 0 5 1 11 33050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_x.xl
new file mode 100644
index 000000000..327f04fa8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_x.xl
@@ -0,0 +1,32 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 -1.35
+0 0 0 0 0 1 1 2 -1.05
+0 0 0 0 0 2 1 2 -0.75
+0 0 0 0 0 3 1 2 -0.45
+0 0 0 0 0 4 1 2 -0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 6 1 2 0.45
+0 0 0 0 0 7 1 2 0.75
+0 0 0 0 0 8 1 2 1.05
+0 0 0 0 0 9 1 2 1.35
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 -1.35
+1 0 0 0 0 1 1 2 -1.05
+1 0 0 0 0 2 1 2 -0.75
+1 0 0 0 0 3 1 2 -0.45
+1 0 0 0 0 4 1 2 -0.15
+1 0 0 0 0 5 1 2 0.15
+1 0 0 0 0 6 1 2 0.45
+1 0 0 0 0 7 1 2 0.75
+1 0 0 0 0 8 1 2 1.05
+1 0 0 0 0 9 1 2 1.35
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_x.yl
new file mode 100644
index 000000000..816ba8a4b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_x.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 5 2 2 0.15
+0 0 0 0 0 5 3 2 0.15
+0 0 0 0 0 5 4 2 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 6 2 0.15
+0 0 0 0 0 5 7 2 0.15
+0 0 0 0 0 5 8 2 0.15
+0 0 0 0 0 5 9 2 0.15
+0 0 0 0 0 5 10 2 0.15
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 0.15
+1 0 0 0 0 5 1 2 0.15
+1 0 0 0 0 5 2 2 0.15
+1 0 0 0 0 5 3 2 0.15
+1 0 0 0 0 5 4 2 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 6 2 0.15
+1 0 0 0 0 5 7 2 0.15
+1 0 0 0 0 5 8 2 0.15
+1 0 0 0 0 5 9 2 0.15
+1 0 0 0 0 5 10 2 0.15
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_x.zl
new file mode 100644
index 000000000..16c0db8bb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_x.zl
@@ -0,0 +1,36 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 0.15
+0 0 0 0 0 5 1 1 0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 5 1 3 0.15
+0 0 0 0 0 5 1 4 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 1 6 0.15
+0 0 0 0 0 5 1 7 0.15
+0 0 0 0 0 5 1 8 0.15
+0 0 0 0 0 5 1 9 0.15
+0 0 0 0 0 5 1 10 0.15
+0 0 0 0 0 5 1 11 0.15
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 0.15
+1 0 0 0 0 5 1 1 0.15
+1 0 0 0 0 5 1 2 0.15
+1 0 0 0 0 5 1 3 0.15
+1 0 0 0 0 5 1 4 0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 5 1 6 0.15
+1 0 0 0 0 5 1 7 0.15
+1 0 0 0 0 5 1 8 0.15
+1 0 0 0 0 5 1 9 0.15
+1 0 0 0 0 5 1 10 0.15
+1 0 0 0 0 5 1 11 0.15
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_y.xl
new file mode 100644
index 000000000..748f7f799
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_y.xl
@@ -0,0 +1,32 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 1 1 2 0.15
+0 0 0 0 0 2 1 2 0.15
+0 0 0 0 0 3 1 2 0.15
+0 0 0 0 0 4 1 2 0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 6 1 2 0.15
+0 0 0 0 0 7 1 2 0.15
+0 0 0 0 0 8 1 2 0.15
+0 0 0 0 0 9 1 2 0.15
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 1 1 2 0.15
+1 0 0 0 0 2 1 2 0.15
+1 0 0 0 0 3 1 2 0.15
+1 0 0 0 0 4 1 2 0.15
+1 0 0 0 0 5 1 2 0.15
+1 0 0 0 0 6 1 2 0.15
+1 0 0 0 0 7 1 2 0.15
+1 0 0 0 0 8 1 2 0.15
+1 0 0 0 0 9 1 2 0.15
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_y.yl
new file mode 100644
index 000000000..272e5b59d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_y.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 -0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 5 2 2 0.45
+0 0 0 0 0 5 3 2 0.75
+0 0 0 0 0 5 4 2 1.05
+0 0 0 0 0 5 5 2 1.35
+0 0 0 0 0 5 6 2 1.65
+0 0 0 0 0 5 7 2 1.95
+0 0 0 0 0 5 8 2 2.25
+0 0 0 0 0 5 9 2 2.55
+0 0 0 0 0 5 10 2 2.85
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 -0.15
+1 0 0 0 0 5 1 2 0.15
+1 0 0 0 0 5 2 2 0.45
+1 0 0 0 0 5 3 2 0.75
+1 0 0 0 0 5 4 2 1.05
+1 0 0 0 0 5 5 2 1.35
+1 0 0 0 0 5 6 2 1.65
+1 0 0 0 0 5 7 2 1.95
+1 0 0 0 0 5 8 2 2.25
+1 0 0 0 0 5 9 2 2.55
+1 0 0 0 0 5 10 2 2.85
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_y.zl
new file mode 100644
index 000000000..89094fc1b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_y.zl
@@ -0,0 +1,36 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 0.15
+0 0 0 0 0 5 1 1 0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 5 1 3 0.15
+0 0 0 0 0 5 1 4 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 1 6 0.15
+0 0 0 0 0 5 1 7 0.15
+0 0 0 0 0 5 1 8 0.15
+0 0 0 0 0 5 1 9 0.15
+0 0 0 0 0 5 1 10 0.15
+0 0 0 0 0 5 1 11 0.15
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 0.15
+1 0 0 0 0 5 1 1 0.15
+1 0 0 0 0 5 1 2 0.15
+1 0 0 0 0 5 1 3 0.15
+1 0 0 0 0 5 1 4 0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 5 1 6 0.15
+1 0 0 0 0 5 1 7 0.15
+1 0 0 0 0 5 1 8 0.15
+1 0 0 0 0 5 1 9 0.15
+1 0 0 0 0 5 1 10 0.15
+1 0 0 0 0 5 1 11 0.15
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_z.xl
new file mode 100644
index 000000000..c30936d88
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_z.xl
@@ -0,0 +1,32 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 1 1 2 0.15
+0 0 0 0 0 2 1 2 0.15
+0 0 0 0 0 3 1 2 0.15
+0 0 0 0 0 4 1 2 0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 6 1 2 0.15
+0 0 0 0 0 7 1 2 0.15
+0 0 0 0 0 8 1 2 0.15
+0 0 0 0 0 9 1 2 0.15
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 1 1 2 0.15
+1 0 0 0 0 2 1 2 0.15
+1 0 0 0 0 3 1 2 0.15
+1 0 0 0 0 4 1 2 0.15
+1 0 0 0 0 5 1 2 0.15
+1 0 0 0 0 6 1 2 0.15
+1 0 0 0 0 7 1 2 0.15
+1 0 0 0 0 8 1 2 0.15
+1 0 0 0 0 9 1 2 0.15
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_z.yl
new file mode 100644
index 000000000..80ad9f63b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_z.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 5 2 2 0.15
+0 0 0 0 0 5 3 2 0.15
+0 0 0 0 0 5 4 2 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 6 2 0.15
+0 0 0 0 0 5 7 2 0.15
+0 0 0 0 0 5 8 2 0.15
+0 0 0 0 0 5 9 2 0.15
+0 0 0 0 0 5 10 2 0.15
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 0.15
+1 0 0 0 0 5 1 2 0.15
+1 0 0 0 0 5 2 2 0.15
+1 0 0 0 0 5 3 2 0.15
+1 0 0 0 0 5 4 2 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 6 2 0.15
+1 0 0 0 0 5 7 2 0.15
+1 0 0 0 0 5 8 2 0.15
+1 0 0 0 0 5 9 2 0.15
+1 0 0 0 0 5 10 2 0.15
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_z.zl
new file mode 100644
index 000000000..6354a141b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/cart3d_z.zl
@@ -0,0 +1,36 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 -0.45
+0 0 0 0 0 5 1 1 -0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 5 1 3 0.45
+0 0 0 0 0 5 1 4 0.75
+0 0 0 0 0 5 1 5 1.05
+0 0 0 0 0 5 1 6 1.35
+0 0 0 0 0 5 1 7 1.65
+0 0 0 0 0 5 1 8 1.95
+0 0 0 0 0 5 1 9 2.25
+0 0 0 0 0 5 1 10 2.55
+0 0 0 0 0 5 1 11 2.85
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 -0.45
+1 0 0 0 0 5 1 1 -0.15
+1 0 0 0 0 5 1 2 0.15
+1 0 0 0 0 5 1 3 0.45
+1 0 0 0 0 5 1 4 0.75
+1 0 0 0 0 5 1 5 1.05
+1 0 0 0 0 5 1 6 1.35
+1 0 0 0 0 5 1 7 1.65
+1 0 0 0 0 5 1 8 1.95
+1 0 0 0 0 5 1 9 2.25
+1 0 0 0 0 5 1 10 2.55
+1 0 0 0 0 5 1 11 2.85
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fxx.xl b/CarpetAttic/Cart3dTest/test/axial-yz/fxx.xl
new file mode 100644
index 000000000..18d0b5198
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fxx.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fxx x (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 41000102
+0 0 0 0 0 1 1 2 41010102
+0 0 0 0 0 2 1 2 41020102
+0 0 0 0 0 3 1 2 41030102
+0 0 0 0 0 4 1 2 41040102
+0 0 0 0 0 5 1 2 41050102
+0 0 0 0 0 6 1 2 41060102
+0 0 0 0 0 7 1 2 41070102
+0 0 0 0 0 8 1 2 41080102
+0 0 0 0 0 9 1 2 41090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 41000102
+1 0 0 0 0 1 1 2 41010102
+1 0 0 0 0 2 1 2 41020102
+1 0 0 0 0 3 1 2 41030102
+1 0 0 0 0 4 1 2 41040102
+1 0 0 0 0 5 1 2 41050102
+1 0 0 0 0 6 1 2 41060102
+1 0 0 0 0 7 1 2 41070102
+1 0 0 0 0 8 1 2 41080102
+1 0 0 0 0 9 1 2 41090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fxx.yl b/CarpetAttic/Cart3dTest/test/axial-yz/fxx.yl
new file mode 100644
index 000000000..d1dd6a24a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fxx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx y (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 41050002
+0 0 0 0 0 5 1 2 41050102
+0 0 0 0 0 5 2 2 41050202
+0 0 0 0 0 5 3 2 41050302
+0 0 0 0 0 5 4 2 41050402
+0 0 0 0 0 5 5 2 41050502
+0 0 0 0 0 5 6 2 41050602
+0 0 0 0 0 5 7 2 41050702
+0 0 0 0 0 5 8 2 41050802
+0 0 0 0 0 5 9 2 41050902
+0 0 0 0 0 5 10 2 41051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 41050102
+1 0 0 0 0 5 1 2 41050102
+1 0 0 0 0 5 2 2 41050202
+1 0 0 0 0 5 3 2 41050302
+1 0 0 0 0 5 4 2 41050402
+1 0 0 0 0 5 5 2 41050502
+1 0 0 0 0 5 6 2 41050602
+1 0 0 0 0 5 7 2 41050702
+1 0 0 0 0 5 8 2 41050802
+1 0 0 0 0 5 9 2 41050902
+1 0 0 0 0 5 10 2 41051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fxx.zl b/CarpetAttic/Cart3dTest/test/axial-yz/fxx.zl
new file mode 100644
index 000000000..7081eaebd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fxx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxx z (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 41050100
+0 0 0 0 0 5 1 1 41050101
+0 0 0 0 0 5 1 2 41050102
+0 0 0 0 0 5 1 3 41050103
+0 0 0 0 0 5 1 4 41050104
+0 0 0 0 0 5 1 5 41050105
+0 0 0 0 0 5 1 6 41050106
+0 0 0 0 0 5 1 7 41050107
+0 0 0 0 0 5 1 8 41050108
+0 0 0 0 0 5 1 9 41050109
+0 0 0 0 0 5 1 10 41050110
+0 0 0 0 0 5 1 11 41050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 41050202
+1 0 0 0 0 5 1 1 41050102
+1 0 0 0 0 5 1 2 41050102
+1 0 0 0 0 5 1 3 41050103
+1 0 0 0 0 5 1 4 41050104
+1 0 0 0 0 5 1 5 41050105
+1 0 0 0 0 5 1 6 41050106
+1 0 0 0 0 5 1 7 41050107
+1 0 0 0 0 5 1 8 41050108
+1 0 0 0 0 5 1 9 41050109
+1 0 0 0 0 5 1 10 41050110
+1 0 0 0 0 5 1 11 41050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fxy.xl b/CarpetAttic/Cart3dTest/test/axial-yz/fxy.xl
new file mode 100644
index 000000000..61f5979cc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fxy.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fxy x (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 42000102
+0 0 0 0 0 1 1 2 42010102
+0 0 0 0 0 2 1 2 42020102
+0 0 0 0 0 3 1 2 42030102
+0 0 0 0 0 4 1 2 42040102
+0 0 0 0 0 5 1 2 42050102
+0 0 0 0 0 6 1 2 42060102
+0 0 0 0 0 7 1 2 42070102
+0 0 0 0 0 8 1 2 42080102
+0 0 0 0 0 9 1 2 42090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 42000102
+1 0 0 0 0 1 1 2 42010102
+1 0 0 0 0 2 1 2 42020102
+1 0 0 0 0 3 1 2 42030102
+1 0 0 0 0 4 1 2 42040102
+1 0 0 0 0 5 1 2 42050102
+1 0 0 0 0 6 1 2 42060102
+1 0 0 0 0 7 1 2 42070102
+1 0 0 0 0 8 1 2 42080102
+1 0 0 0 0 9 1 2 42090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fxy.yl b/CarpetAttic/Cart3dTest/test/axial-yz/fxy.yl
new file mode 100644
index 000000000..f37ee81a9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fxy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy y (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 42050002
+0 0 0 0 0 5 1 2 42050102
+0 0 0 0 0 5 2 2 42050202
+0 0 0 0 0 5 3 2 42050302
+0 0 0 0 0 5 4 2 42050402
+0 0 0 0 0 5 5 2 42050502
+0 0 0 0 0 5 6 2 42050602
+0 0 0 0 0 5 7 2 42050702
+0 0 0 0 0 5 8 2 42050802
+0 0 0 0 0 5 9 2 42050902
+0 0 0 0 0 5 10 2 42051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 -43050102
+1 0 0 0 0 5 1 2 42050102
+1 0 0 0 0 5 2 2 42050202
+1 0 0 0 0 5 3 2 42050302
+1 0 0 0 0 5 4 2 42050402
+1 0 0 0 0 5 5 2 42050502
+1 0 0 0 0 5 6 2 42050602
+1 0 0 0 0 5 7 2 42050702
+1 0 0 0 0 5 8 2 42050802
+1 0 0 0 0 5 9 2 42050902
+1 0 0 0 0 5 10 2 42051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fxy.zl b/CarpetAttic/Cart3dTest/test/axial-yz/fxy.zl
new file mode 100644
index 000000000..82fc62737
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fxy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxy z (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 42050100
+0 0 0 0 0 5 1 1 42050101
+0 0 0 0 0 5 1 2 42050102
+0 0 0 0 0 5 1 3 42050103
+0 0 0 0 0 5 1 4 42050104
+0 0 0 0 0 5 1 5 42050105
+0 0 0 0 0 5 1 6 42050106
+0 0 0 0 0 5 1 7 42050107
+0 0 0 0 0 5 1 8 42050108
+0 0 0 0 0 5 1 9 42050109
+0 0 0 0 0 5 1 10 42050110
+0 0 0 0 0 5 1 11 42050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 43050202
+1 0 0 0 0 5 1 1 43050102
+1 0 0 0 0 5 1 2 42050102
+1 0 0 0 0 5 1 3 42050103
+1 0 0 0 0 5 1 4 42050104
+1 0 0 0 0 5 1 5 42050105
+1 0 0 0 0 5 1 6 42050106
+1 0 0 0 0 5 1 7 42050107
+1 0 0 0 0 5 1 8 42050108
+1 0 0 0 0 5 1 9 42050109
+1 0 0 0 0 5 1 10 42050110
+1 0 0 0 0 5 1 11 42050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fxz.xl b/CarpetAttic/Cart3dTest/test/axial-yz/fxz.xl
new file mode 100644
index 000000000..ee3b446f3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fxz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fxz x (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 43000102
+0 0 0 0 0 1 1 2 43010102
+0 0 0 0 0 2 1 2 43020102
+0 0 0 0 0 3 1 2 43030102
+0 0 0 0 0 4 1 2 43040102
+0 0 0 0 0 5 1 2 43050102
+0 0 0 0 0 6 1 2 43060102
+0 0 0 0 0 7 1 2 43070102
+0 0 0 0 0 8 1 2 43080102
+0 0 0 0 0 9 1 2 43090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 43000102
+1 0 0 0 0 1 1 2 43010102
+1 0 0 0 0 2 1 2 43020102
+1 0 0 0 0 3 1 2 43030102
+1 0 0 0 0 4 1 2 43040102
+1 0 0 0 0 5 1 2 43050102
+1 0 0 0 0 6 1 2 43060102
+1 0 0 0 0 7 1 2 43070102
+1 0 0 0 0 8 1 2 43080102
+1 0 0 0 0 9 1 2 43090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fxz.yl b/CarpetAttic/Cart3dTest/test/axial-yz/fxz.yl
new file mode 100644
index 000000000..563d2732a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fxz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz y (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 43050002
+0 0 0 0 0 5 1 2 43050102
+0 0 0 0 0 5 2 2 43050202
+0 0 0 0 0 5 3 2 43050302
+0 0 0 0 0 5 4 2 43050402
+0 0 0 0 0 5 5 2 43050502
+0 0 0 0 0 5 6 2 43050602
+0 0 0 0 0 5 7 2 43050702
+0 0 0 0 0 5 8 2 43050802
+0 0 0 0 0 5 9 2 43050902
+0 0 0 0 0 5 10 2 43051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 42050102
+1 0 0 0 0 5 1 2 43050102
+1 0 0 0 0 5 2 2 43050202
+1 0 0 0 0 5 3 2 43050302
+1 0 0 0 0 5 4 2 43050402
+1 0 0 0 0 5 5 2 43050502
+1 0 0 0 0 5 6 2 43050602
+1 0 0 0 0 5 7 2 43050702
+1 0 0 0 0 5 8 2 43050802
+1 0 0 0 0 5 9 2 43050902
+1 0 0 0 0 5 10 2 43051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fxz.zl b/CarpetAttic/Cart3dTest/test/axial-yz/fxz.zl
new file mode 100644
index 000000000..c5b1c5e0f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fxz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxz z (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 43050100
+0 0 0 0 0 5 1 1 43050101
+0 0 0 0 0 5 1 2 43050102
+0 0 0 0 0 5 1 3 43050103
+0 0 0 0 0 5 1 4 43050104
+0 0 0 0 0 5 1 5 43050105
+0 0 0 0 0 5 1 6 43050106
+0 0 0 0 0 5 1 7 43050107
+0 0 0 0 0 5 1 8 43050108
+0 0 0 0 0 5 1 9 43050109
+0 0 0 0 0 5 1 10 43050110
+0 0 0 0 0 5 1 11 43050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 -42050202
+1 0 0 0 0 5 1 1 -42050102
+1 0 0 0 0 5 1 2 43050102
+1 0 0 0 0 5 1 3 43050103
+1 0 0 0 0 5 1 4 43050104
+1 0 0 0 0 5 1 5 43050105
+1 0 0 0 0 5 1 6 43050106
+1 0 0 0 0 5 1 7 43050107
+1 0 0 0 0 5 1 8 43050108
+1 0 0 0 0 5 1 9 43050109
+1 0 0 0 0 5 1 10 43050110
+1 0 0 0 0 5 1 11 43050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fyx.xl b/CarpetAttic/Cart3dTest/test/axial-yz/fyx.xl
new file mode 100644
index 000000000..a19544aaf
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fyx.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fyx x (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 44000102
+0 0 0 0 0 1 1 2 44010102
+0 0 0 0 0 2 1 2 44020102
+0 0 0 0 0 3 1 2 44030102
+0 0 0 0 0 4 1 2 44040102
+0 0 0 0 0 5 1 2 44050102
+0 0 0 0 0 6 1 2 44060102
+0 0 0 0 0 7 1 2 44070102
+0 0 0 0 0 8 1 2 44080102
+0 0 0 0 0 9 1 2 44090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 44000102
+1 0 0 0 0 1 1 2 44010102
+1 0 0 0 0 2 1 2 44020102
+1 0 0 0 0 3 1 2 44030102
+1 0 0 0 0 4 1 2 44040102
+1 0 0 0 0 5 1 2 44050102
+1 0 0 0 0 6 1 2 44060102
+1 0 0 0 0 7 1 2 44070102
+1 0 0 0 0 8 1 2 44080102
+1 0 0 0 0 9 1 2 44090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fyx.yl b/CarpetAttic/Cart3dTest/test/axial-yz/fyx.yl
new file mode 100644
index 000000000..34a6963e2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fyx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx y (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 44050002
+0 0 0 0 0 5 1 2 44050102
+0 0 0 0 0 5 2 2 44050202
+0 0 0 0 0 5 3 2 44050302
+0 0 0 0 0 5 4 2 44050402
+0 0 0 0 0 5 5 2 44050502
+0 0 0 0 0 5 6 2 44050602
+0 0 0 0 0 5 7 2 44050702
+0 0 0 0 0 5 8 2 44050802
+0 0 0 0 0 5 9 2 44050902
+0 0 0 0 0 5 10 2 44051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 -47050102
+1 0 0 0 0 5 1 2 44050102
+1 0 0 0 0 5 2 2 44050202
+1 0 0 0 0 5 3 2 44050302
+1 0 0 0 0 5 4 2 44050402
+1 0 0 0 0 5 5 2 44050502
+1 0 0 0 0 5 6 2 44050602
+1 0 0 0 0 5 7 2 44050702
+1 0 0 0 0 5 8 2 44050802
+1 0 0 0 0 5 9 2 44050902
+1 0 0 0 0 5 10 2 44051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fyx.zl b/CarpetAttic/Cart3dTest/test/axial-yz/fyx.zl
new file mode 100644
index 000000000..de00063f8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fyx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyx z (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 44050100
+0 0 0 0 0 5 1 1 44050101
+0 0 0 0 0 5 1 2 44050102
+0 0 0 0 0 5 1 3 44050103
+0 0 0 0 0 5 1 4 44050104
+0 0 0 0 0 5 1 5 44050105
+0 0 0 0 0 5 1 6 44050106
+0 0 0 0 0 5 1 7 44050107
+0 0 0 0 0 5 1 8 44050108
+0 0 0 0 0 5 1 9 44050109
+0 0 0 0 0 5 1 10 44050110
+0 0 0 0 0 5 1 11 44050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 47050202
+1 0 0 0 0 5 1 1 47050102
+1 0 0 0 0 5 1 2 44050102
+1 0 0 0 0 5 1 3 44050103
+1 0 0 0 0 5 1 4 44050104
+1 0 0 0 0 5 1 5 44050105
+1 0 0 0 0 5 1 6 44050106
+1 0 0 0 0 5 1 7 44050107
+1 0 0 0 0 5 1 8 44050108
+1 0 0 0 0 5 1 9 44050109
+1 0 0 0 0 5 1 10 44050110
+1 0 0 0 0 5 1 11 44050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fyy.xl b/CarpetAttic/Cart3dTest/test/axial-yz/fyy.xl
new file mode 100644
index 000000000..52a0edfc7
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fyy.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fyy x (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 45000102
+0 0 0 0 0 1 1 2 45010102
+0 0 0 0 0 2 1 2 45020102
+0 0 0 0 0 3 1 2 45030102
+0 0 0 0 0 4 1 2 45040102
+0 0 0 0 0 5 1 2 45050102
+0 0 0 0 0 6 1 2 45060102
+0 0 0 0 0 7 1 2 45070102
+0 0 0 0 0 8 1 2 45080102
+0 0 0 0 0 9 1 2 45090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 45000102
+1 0 0 0 0 1 1 2 45010102
+1 0 0 0 0 2 1 2 45020102
+1 0 0 0 0 3 1 2 45030102
+1 0 0 0 0 4 1 2 45040102
+1 0 0 0 0 5 1 2 45050102
+1 0 0 0 0 6 1 2 45060102
+1 0 0 0 0 7 1 2 45070102
+1 0 0 0 0 8 1 2 45080102
+1 0 0 0 0 9 1 2 45090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fyy.yl b/CarpetAttic/Cart3dTest/test/axial-yz/fyy.yl
new file mode 100644
index 000000000..ff4b0c99c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy y (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 45050002
+0 0 0 0 0 5 1 2 45050102
+0 0 0 0 0 5 2 2 45050202
+0 0 0 0 0 5 3 2 45050302
+0 0 0 0 0 5 4 2 45050402
+0 0 0 0 0 5 5 2 45050502
+0 0 0 0 0 5 6 2 45050602
+0 0 0 0 0 5 7 2 45050702
+0 0 0 0 0 5 8 2 45050802
+0 0 0 0 0 5 9 2 45050902
+0 0 0 0 0 5 10 2 45051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 49050102
+1 0 0 0 0 5 1 2 45050102
+1 0 0 0 0 5 2 2 45050202
+1 0 0 0 0 5 3 2 45050302
+1 0 0 0 0 5 4 2 45050402
+1 0 0 0 0 5 5 2 45050502
+1 0 0 0 0 5 6 2 45050602
+1 0 0 0 0 5 7 2 45050702
+1 0 0 0 0 5 8 2 45050802
+1 0 0 0 0 5 9 2 45050902
+1 0 0 0 0 5 10 2 45051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fyy.zl b/CarpetAttic/Cart3dTest/test/axial-yz/fyy.zl
new file mode 100644
index 000000000..487f62b7c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fyy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyy z (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 45050100
+0 0 0 0 0 5 1 1 45050101
+0 0 0 0 0 5 1 2 45050102
+0 0 0 0 0 5 1 3 45050103
+0 0 0 0 0 5 1 4 45050104
+0 0 0 0 0 5 1 5 45050105
+0 0 0 0 0 5 1 6 45050106
+0 0 0 0 0 5 1 7 45050107
+0 0 0 0 0 5 1 8 45050108
+0 0 0 0 0 5 1 9 45050109
+0 0 0 0 0 5 1 10 45050110
+0 0 0 0 0 5 1 11 45050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 49050202
+1 0 0 0 0 5 1 1 49050102
+1 0 0 0 0 5 1 2 45050102
+1 0 0 0 0 5 1 3 45050103
+1 0 0 0 0 5 1 4 45050104
+1 0 0 0 0 5 1 5 45050105
+1 0 0 0 0 5 1 6 45050106
+1 0 0 0 0 5 1 7 45050107
+1 0 0 0 0 5 1 8 45050108
+1 0 0 0 0 5 1 9 45050109
+1 0 0 0 0 5 1 10 45050110
+1 0 0 0 0 5 1 11 45050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fyz.xl b/CarpetAttic/Cart3dTest/test/axial-yz/fyz.xl
new file mode 100644
index 000000000..9f7ecd679
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fyz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fyz x (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 46000102
+0 0 0 0 0 1 1 2 46010102
+0 0 0 0 0 2 1 2 46020102
+0 0 0 0 0 3 1 2 46030102
+0 0 0 0 0 4 1 2 46040102
+0 0 0 0 0 5 1 2 46050102
+0 0 0 0 0 6 1 2 46060102
+0 0 0 0 0 7 1 2 46070102
+0 0 0 0 0 8 1 2 46080102
+0 0 0 0 0 9 1 2 46090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 46000102
+1 0 0 0 0 1 1 2 46010102
+1 0 0 0 0 2 1 2 46020102
+1 0 0 0 0 3 1 2 46030102
+1 0 0 0 0 4 1 2 46040102
+1 0 0 0 0 5 1 2 46050102
+1 0 0 0 0 6 1 2 46060102
+1 0 0 0 0 7 1 2 46070102
+1 0 0 0 0 8 1 2 46080102
+1 0 0 0 0 9 1 2 46090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fyz.yl b/CarpetAttic/Cart3dTest/test/axial-yz/fyz.yl
new file mode 100644
index 000000000..fda1bd03d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz y (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 46050002
+0 0 0 0 0 5 1 2 46050102
+0 0 0 0 0 5 2 2 46050202
+0 0 0 0 0 5 3 2 46050302
+0 0 0 0 0 5 4 2 46050402
+0 0 0 0 0 5 5 2 46050502
+0 0 0 0 0 5 6 2 46050602
+0 0 0 0 0 5 7 2 46050702
+0 0 0 0 0 5 8 2 46050802
+0 0 0 0 0 5 9 2 46050902
+0 0 0 0 0 5 10 2 46051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 -48050102
+1 0 0 0 0 5 1 2 46050102
+1 0 0 0 0 5 2 2 46050202
+1 0 0 0 0 5 3 2 46050302
+1 0 0 0 0 5 4 2 46050402
+1 0 0 0 0 5 5 2 46050502
+1 0 0 0 0 5 6 2 46050602
+1 0 0 0 0 5 7 2 46050702
+1 0 0 0 0 5 8 2 46050802
+1 0 0 0 0 5 9 2 46050902
+1 0 0 0 0 5 10 2 46051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fyz.zl b/CarpetAttic/Cart3dTest/test/axial-yz/fyz.zl
new file mode 100644
index 000000000..8ef1681b6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fyz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyz z (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 46050100
+0 0 0 0 0 5 1 1 46050101
+0 0 0 0 0 5 1 2 46050102
+0 0 0 0 0 5 1 3 46050103
+0 0 0 0 0 5 1 4 46050104
+0 0 0 0 0 5 1 5 46050105
+0 0 0 0 0 5 1 6 46050106
+0 0 0 0 0 5 1 7 46050107
+0 0 0 0 0 5 1 8 46050108
+0 0 0 0 0 5 1 9 46050109
+0 0 0 0 0 5 1 10 46050110
+0 0 0 0 0 5 1 11 46050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 -48050202
+1 0 0 0 0 5 1 1 -48050102
+1 0 0 0 0 5 1 2 46050102
+1 0 0 0 0 5 1 3 46050103
+1 0 0 0 0 5 1 4 46050104
+1 0 0 0 0 5 1 5 46050105
+1 0 0 0 0 5 1 6 46050106
+1 0 0 0 0 5 1 7 46050107
+1 0 0 0 0 5 1 8 46050108
+1 0 0 0 0 5 1 9 46050109
+1 0 0 0 0 5 1 10 46050110
+1 0 0 0 0 5 1 11 46050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fzx.xl b/CarpetAttic/Cart3dTest/test/axial-yz/fzx.xl
new file mode 100644
index 000000000..a87372f47
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fzx.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fzx x (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 47000102
+0 0 0 0 0 1 1 2 47010102
+0 0 0 0 0 2 1 2 47020102
+0 0 0 0 0 3 1 2 47030102
+0 0 0 0 0 4 1 2 47040102
+0 0 0 0 0 5 1 2 47050102
+0 0 0 0 0 6 1 2 47060102
+0 0 0 0 0 7 1 2 47070102
+0 0 0 0 0 8 1 2 47080102
+0 0 0 0 0 9 1 2 47090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 47000102
+1 0 0 0 0 1 1 2 47010102
+1 0 0 0 0 2 1 2 47020102
+1 0 0 0 0 3 1 2 47030102
+1 0 0 0 0 4 1 2 47040102
+1 0 0 0 0 5 1 2 47050102
+1 0 0 0 0 6 1 2 47060102
+1 0 0 0 0 7 1 2 47070102
+1 0 0 0 0 8 1 2 47080102
+1 0 0 0 0 9 1 2 47090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fzx.yl b/CarpetAttic/Cart3dTest/test/axial-yz/fzx.yl
new file mode 100644
index 000000000..4f62fc74f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fzx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx y (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 47050002
+0 0 0 0 0 5 1 2 47050102
+0 0 0 0 0 5 2 2 47050202
+0 0 0 0 0 5 3 2 47050302
+0 0 0 0 0 5 4 2 47050402
+0 0 0 0 0 5 5 2 47050502
+0 0 0 0 0 5 6 2 47050602
+0 0 0 0 0 5 7 2 47050702
+0 0 0 0 0 5 8 2 47050802
+0 0 0 0 0 5 9 2 47050902
+0 0 0 0 0 5 10 2 47051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 44050102
+1 0 0 0 0 5 1 2 47050102
+1 0 0 0 0 5 2 2 47050202
+1 0 0 0 0 5 3 2 47050302
+1 0 0 0 0 5 4 2 47050402
+1 0 0 0 0 5 5 2 47050502
+1 0 0 0 0 5 6 2 47050602
+1 0 0 0 0 5 7 2 47050702
+1 0 0 0 0 5 8 2 47050802
+1 0 0 0 0 5 9 2 47050902
+1 0 0 0 0 5 10 2 47051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fzx.zl b/CarpetAttic/Cart3dTest/test/axial-yz/fzx.zl
new file mode 100644
index 000000000..afbc628c9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fzx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzx z (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 47050100
+0 0 0 0 0 5 1 1 47050101
+0 0 0 0 0 5 1 2 47050102
+0 0 0 0 0 5 1 3 47050103
+0 0 0 0 0 5 1 4 47050104
+0 0 0 0 0 5 1 5 47050105
+0 0 0 0 0 5 1 6 47050106
+0 0 0 0 0 5 1 7 47050107
+0 0 0 0 0 5 1 8 47050108
+0 0 0 0 0 5 1 9 47050109
+0 0 0 0 0 5 1 10 47050110
+0 0 0 0 0 5 1 11 47050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 -44050202
+1 0 0 0 0 5 1 1 -44050102
+1 0 0 0 0 5 1 2 47050102
+1 0 0 0 0 5 1 3 47050103
+1 0 0 0 0 5 1 4 47050104
+1 0 0 0 0 5 1 5 47050105
+1 0 0 0 0 5 1 6 47050106
+1 0 0 0 0 5 1 7 47050107
+1 0 0 0 0 5 1 8 47050108
+1 0 0 0 0 5 1 9 47050109
+1 0 0 0 0 5 1 10 47050110
+1 0 0 0 0 5 1 11 47050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fzy.xl b/CarpetAttic/Cart3dTest/test/axial-yz/fzy.xl
new file mode 100644
index 000000000..b0588b9a3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fzy.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fzy x (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 48000102
+0 0 0 0 0 1 1 2 48010102
+0 0 0 0 0 2 1 2 48020102
+0 0 0 0 0 3 1 2 48030102
+0 0 0 0 0 4 1 2 48040102
+0 0 0 0 0 5 1 2 48050102
+0 0 0 0 0 6 1 2 48060102
+0 0 0 0 0 7 1 2 48070102
+0 0 0 0 0 8 1 2 48080102
+0 0 0 0 0 9 1 2 48090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 48000102
+1 0 0 0 0 1 1 2 48010102
+1 0 0 0 0 2 1 2 48020102
+1 0 0 0 0 3 1 2 48030102
+1 0 0 0 0 4 1 2 48040102
+1 0 0 0 0 5 1 2 48050102
+1 0 0 0 0 6 1 2 48060102
+1 0 0 0 0 7 1 2 48070102
+1 0 0 0 0 8 1 2 48080102
+1 0 0 0 0 9 1 2 48090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fzy.yl b/CarpetAttic/Cart3dTest/test/axial-yz/fzy.yl
new file mode 100644
index 000000000..72fa170e9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fzy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy y (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 48050002
+0 0 0 0 0 5 1 2 48050102
+0 0 0 0 0 5 2 2 48050202
+0 0 0 0 0 5 3 2 48050302
+0 0 0 0 0 5 4 2 48050402
+0 0 0 0 0 5 5 2 48050502
+0 0 0 0 0 5 6 2 48050602
+0 0 0 0 0 5 7 2 48050702
+0 0 0 0 0 5 8 2 48050802
+0 0 0 0 0 5 9 2 48050902
+0 0 0 0 0 5 10 2 48051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 -46050102
+1 0 0 0 0 5 1 2 48050102
+1 0 0 0 0 5 2 2 48050202
+1 0 0 0 0 5 3 2 48050302
+1 0 0 0 0 5 4 2 48050402
+1 0 0 0 0 5 5 2 48050502
+1 0 0 0 0 5 6 2 48050602
+1 0 0 0 0 5 7 2 48050702
+1 0 0 0 0 5 8 2 48050802
+1 0 0 0 0 5 9 2 48050902
+1 0 0 0 0 5 10 2 48051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fzy.zl b/CarpetAttic/Cart3dTest/test/axial-yz/fzy.zl
new file mode 100644
index 000000000..7058851c0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fzy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzy z (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 48050100
+0 0 0 0 0 5 1 1 48050101
+0 0 0 0 0 5 1 2 48050102
+0 0 0 0 0 5 1 3 48050103
+0 0 0 0 0 5 1 4 48050104
+0 0 0 0 0 5 1 5 48050105
+0 0 0 0 0 5 1 6 48050106
+0 0 0 0 0 5 1 7 48050107
+0 0 0 0 0 5 1 8 48050108
+0 0 0 0 0 5 1 9 48050109
+0 0 0 0 0 5 1 10 48050110
+0 0 0 0 0 5 1 11 48050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 -46050202
+1 0 0 0 0 5 1 1 -46050102
+1 0 0 0 0 5 1 2 48050102
+1 0 0 0 0 5 1 3 48050103
+1 0 0 0 0 5 1 4 48050104
+1 0 0 0 0 5 1 5 48050105
+1 0 0 0 0 5 1 6 48050106
+1 0 0 0 0 5 1 7 48050107
+1 0 0 0 0 5 1 8 48050108
+1 0 0 0 0 5 1 9 48050109
+1 0 0 0 0 5 1 10 48050110
+1 0 0 0 0 5 1 11 48050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fzz.xl b/CarpetAttic/Cart3dTest/test/axial-yz/fzz.xl
new file mode 100644
index 000000000..e1f46449c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fzz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::fzz x (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 49000102
+0 0 0 0 0 1 1 2 49010102
+0 0 0 0 0 2 1 2 49020102
+0 0 0 0 0 3 1 2 49030102
+0 0 0 0 0 4 1 2 49040102
+0 0 0 0 0 5 1 2 49050102
+0 0 0 0 0 6 1 2 49060102
+0 0 0 0 0 7 1 2 49070102
+0 0 0 0 0 8 1 2 49080102
+0 0 0 0 0 9 1 2 49090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 49000102
+1 0 0 0 0 1 1 2 49010102
+1 0 0 0 0 2 1 2 49020102
+1 0 0 0 0 3 1 2 49030102
+1 0 0 0 0 4 1 2 49040102
+1 0 0 0 0 5 1 2 49050102
+1 0 0 0 0 6 1 2 49060102
+1 0 0 0 0 7 1 2 49070102
+1 0 0 0 0 8 1 2 49080102
+1 0 0 0 0 9 1 2 49090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fzz.yl b/CarpetAttic/Cart3dTest/test/axial-yz/fzz.yl
new file mode 100644
index 000000000..a86c7d88b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz y (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 49050002
+0 0 0 0 0 5 1 2 49050102
+0 0 0 0 0 5 2 2 49050202
+0 0 0 0 0 5 3 2 49050302
+0 0 0 0 0 5 4 2 49050402
+0 0 0 0 0 5 5 2 49050502
+0 0 0 0 0 5 6 2 49050602
+0 0 0 0 0 5 7 2 49050702
+0 0 0 0 0 5 8 2 49050802
+0 0 0 0 0 5 9 2 49050902
+0 0 0 0 0 5 10 2 49051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 45050102
+1 0 0 0 0 5 1 2 49050102
+1 0 0 0 0 5 2 2 49050202
+1 0 0 0 0 5 3 2 49050302
+1 0 0 0 0 5 4 2 49050402
+1 0 0 0 0 5 5 2 49050502
+1 0 0 0 0 5 6 2 49050602
+1 0 0 0 0 5 7 2 49050702
+1 0 0 0 0 5 8 2 49050802
+1 0 0 0 0 5 9 2 49050902
+1 0 0 0 0 5 10 2 49051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/fzz.zl b/CarpetAttic/Cart3dTest/test/axial-yz/fzz.zl
new file mode 100644
index 000000000..42c6ef45c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/fzz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzz z (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 49050100
+0 0 0 0 0 5 1 1 49050101
+0 0 0 0 0 5 1 2 49050102
+0 0 0 0 0 5 1 3 49050103
+0 0 0 0 0 5 1 4 49050104
+0 0 0 0 0 5 1 5 49050105
+0 0 0 0 0 5 1 6 49050106
+0 0 0 0 0 5 1 7 49050107
+0 0 0 0 0 5 1 8 49050108
+0 0 0 0 0 5 1 9 49050109
+0 0 0 0 0 5 1 10 49050110
+0 0 0 0 0 5 1 11 49050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 45050202
+1 0 0 0 0 5 1 1 45050102
+1 0 0 0 0 5 1 2 49050102
+1 0 0 0 0 5 1 3 49050103
+1 0 0 0 0 5 1 4 49050104
+1 0 0 0 0 5 1 5 49050105
+1 0 0 0 0 5 1 6 49050106
+1 0 0 0 0 5 1 7 49050107
+1 0 0 0 0 5 1 8 49050108
+1 0 0 0 0 5 1 9 49050109
+1 0 0 0 0 5 1 10 49050110
+1 0 0 0 0 5 1 11 49050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/s.xl b/CarpetAttic/Cart3dTest/test/axial-yz/s.xl
new file mode 100644
index 000000000..89e891ef0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/s.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::s x (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 1000102
+0 0 0 0 0 1 1 2 1010102
+0 0 0 0 0 2 1 2 1020102
+0 0 0 0 0 3 1 2 1030102
+0 0 0 0 0 4 1 2 1040102
+0 0 0 0 0 5 1 2 1050102
+0 0 0 0 0 6 1 2 1060102
+0 0 0 0 0 7 1 2 1070102
+0 0 0 0 0 8 1 2 1080102
+0 0 0 0 0 9 1 2 1090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 1000102
+1 0 0 0 0 1 1 2 1010102
+1 0 0 0 0 2 1 2 1020102
+1 0 0 0 0 3 1 2 1030102
+1 0 0 0 0 4 1 2 1040102
+1 0 0 0 0 5 1 2 1050102
+1 0 0 0 0 6 1 2 1060102
+1 0 0 0 0 7 1 2 1070102
+1 0 0 0 0 8 1 2 1080102
+1 0 0 0 0 9 1 2 1090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/s.yl b/CarpetAttic/Cart3dTest/test/axial-yz/s.yl
new file mode 100644
index 000000000..c4f4d60bb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/s.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::s y (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 1050002
+0 0 0 0 0 5 1 2 1050102
+0 0 0 0 0 5 2 2 1050202
+0 0 0 0 0 5 3 2 1050302
+0 0 0 0 0 5 4 2 1050402
+0 0 0 0 0 5 5 2 1050502
+0 0 0 0 0 5 6 2 1050602
+0 0 0 0 0 5 7 2 1050702
+0 0 0 0 0 5 8 2 1050802
+0 0 0 0 0 5 9 2 1050902
+0 0 0 0 0 5 10 2 1051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 1050102
+1 0 0 0 0 5 1 2 1050102
+1 0 0 0 0 5 2 2 1050202
+1 0 0 0 0 5 3 2 1050302
+1 0 0 0 0 5 4 2 1050402
+1 0 0 0 0 5 5 2 1050502
+1 0 0 0 0 5 6 2 1050602
+1 0 0 0 0 5 7 2 1050702
+1 0 0 0 0 5 8 2 1050802
+1 0 0 0 0 5 9 2 1050902
+1 0 0 0 0 5 10 2 1051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/s.zl b/CarpetAttic/Cart3dTest/test/axial-yz/s.zl
new file mode 100644
index 000000000..726212c88
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/s.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::s z (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 1050100
+0 0 0 0 0 5 1 1 1050101
+0 0 0 0 0 5 1 2 1050102
+0 0 0 0 0 5 1 3 1050103
+0 0 0 0 0 5 1 4 1050104
+0 0 0 0 0 5 1 5 1050105
+0 0 0 0 0 5 1 6 1050106
+0 0 0 0 0 5 1 7 1050107
+0 0 0 0 0 5 1 8 1050108
+0 0 0 0 0 5 1 9 1050109
+0 0 0 0 0 5 1 10 1050110
+0 0 0 0 0 5 1 11 1050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 1050202
+1 0 0 0 0 5 1 1 1050102
+1 0 0 0 0 5 1 2 1050102
+1 0 0 0 0 5 1 3 1050103
+1 0 0 0 0 5 1 4 1050104
+1 0 0 0 0 5 1 5 1050105
+1 0 0 0 0 5 1 6 1050106
+1 0 0 0 0 5 1 7 1050107
+1 0 0 0 0 5 1 8 1050108
+1 0 0 0 0 5 1 9 1050109
+1 0 0 0 0 5 1 10 1050110
+1 0 0 0 0 5 1 11 1050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/axial-yz/spher3d_r.xl
new file mode 100644
index 000000000..8a8c565d7
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/spher3d_r.xl
@@ -0,0 +1,32 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 1.36656503687164
+0 0 0 0 0 1 1 2 1.07121426428143
+0 0 0 0 0 2 1 2 0.779422863405995
+0 0 0 0 0 3 1 2 0.49749371855331
+0 0 0 0 0 4 1 2 0.259807621135332
+0 0 0 0 0 5 1 2 0.259807621135332
+0 0 0 0 0 6 1 2 0.49749371855331
+0 0 0 0 0 7 1 2 0.779422863405995
+0 0 0 0 0 8 1 2 1.07121426428143
+0 0 0 0 0 9 1 2 1.36656503687164
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 1.36656503687164
+1 0 0 0 0 1 1 2 1.07121426428143
+1 0 0 0 0 2 1 2 0.779422863405995
+1 0 0 0 0 3 1 2 0.49749371855331
+1 0 0 0 0 4 1 2 0.259807621135332
+1 0 0 0 0 5 1 2 0.259807621135332
+1 0 0 0 0 6 1 2 0.49749371855331
+1 0 0 0 0 7 1 2 0.779422863405995
+1 0 0 0 0 8 1 2 1.07121426428143
+1 0 0 0 0 9 1 2 1.36656503687164
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/axial-yz/spher3d_r.yl
new file mode 100644
index 000000000..7dd33d33c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/spher3d_r.yl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 0.259807621135332
+0 0 0 0 0 5 1 2 0.259807621135332
+0 0 0 0 0 5 2 2 0.49749371855331
+0 0 0 0 0 5 3 2 0.779422863405995
+0 0 0 0 0 5 4 2 1.07121426428143
+0 0 0 0 0 5 5 2 1.36656503687164
+0 0 0 0 0 5 6 2 1.66358047596141
+0 0 0 0 0 5 7 2 1.9615045245933
+0 0 0 0 0 5 8 2 2.2599778759979
+0 0 0 0 0 5 9 2 2.5588083163848
+0 0 0 0 0 5 10 2 2.85788383248865
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 0.259807621135332
+1 0 0 0 0 5 1 2 0.259807621135332
+1 0 0 0 0 5 2 2 0.49749371855331
+1 0 0 0 0 5 3 2 0.779422863405995
+1 0 0 0 0 5 4 2 1.07121426428143
+1 0 0 0 0 5 5 2 1.36656503687164
+1 0 0 0 0 5 6 2 1.66358047596141
+1 0 0 0 0 5 7 2 1.9615045245933
+1 0 0 0 0 5 8 2 2.2599778759979
+1 0 0 0 0 5 9 2 2.5588083163848
+1 0 0 0 0 5 10 2 2.85788383248865
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/axial-yz/spher3d_r.zl
new file mode 100644
index 000000000..09cf8795f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/spher3d_r.zl
@@ -0,0 +1,36 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 0.49749371855331
+0 0 0 0 0 5 1 1 0.259807621135332
+0 0 0 0 0 5 1 2 0.259807621135332
+0 0 0 0 0 5 1 3 0.49749371855331
+0 0 0 0 0 5 1 4 0.779422863405995
+0 0 0 0 0 5 1 5 1.07121426428143
+0 0 0 0 0 5 1 6 1.36656503687164
+0 0 0 0 0 5 1 7 1.66358047596141
+0 0 0 0 0 5 1 8 1.9615045245933
+0 0 0 0 0 5 1 9 2.2599778759979
+0 0 0 0 0 5 1 10 2.5588083163848
+0 0 0 0 0 5 1 11 2.85788383248865
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 0.49749371855331
+1 0 0 0 0 5 1 1 0.259807621135332
+1 0 0 0 0 5 1 2 0.259807621135332
+1 0 0 0 0 5 1 3 0.49749371855331
+1 0 0 0 0 5 1 4 0.779422863405995
+1 0 0 0 0 5 1 5 1.07121426428143
+1 0 0 0 0 5 1 6 1.36656503687164
+1 0 0 0 0 5 1 7 1.66358047596141
+1 0 0 0 0 5 1 8 1.9615045245933
+1 0 0 0 0 5 1 9 2.2599778759979
+1 0 0 0 0 5 1 10 2.5588083163848
+1 0 0 0 0 5 1 11 2.85788383248865
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/txx.xl b/CarpetAttic/Cart3dTest/test/axial-yz/txx.xl
new file mode 100644
index 000000000..75d6b5a3f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/txx.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::txx x (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 21000102
+0 0 0 0 0 1 1 2 21010102
+0 0 0 0 0 2 1 2 21020102
+0 0 0 0 0 3 1 2 21030102
+0 0 0 0 0 4 1 2 21040102
+0 0 0 0 0 5 1 2 21050102
+0 0 0 0 0 6 1 2 21060102
+0 0 0 0 0 7 1 2 21070102
+0 0 0 0 0 8 1 2 21080102
+0 0 0 0 0 9 1 2 21090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 21000102
+1 0 0 0 0 1 1 2 21010102
+1 0 0 0 0 2 1 2 21020102
+1 0 0 0 0 3 1 2 21030102
+1 0 0 0 0 4 1 2 21040102
+1 0 0 0 0 5 1 2 21050102
+1 0 0 0 0 6 1 2 21060102
+1 0 0 0 0 7 1 2 21070102
+1 0 0 0 0 8 1 2 21080102
+1 0 0 0 0 9 1 2 21090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/txx.yl b/CarpetAttic/Cart3dTest/test/axial-yz/txx.yl
new file mode 100644
index 000000000..9f06097ed
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/txx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx y (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 21050002
+0 0 0 0 0 5 1 2 21050102
+0 0 0 0 0 5 2 2 21050202
+0 0 0 0 0 5 3 2 21050302
+0 0 0 0 0 5 4 2 21050402
+0 0 0 0 0 5 5 2 21050502
+0 0 0 0 0 5 6 2 21050602
+0 0 0 0 0 5 7 2 21050702
+0 0 0 0 0 5 8 2 21050802
+0 0 0 0 0 5 9 2 21050902
+0 0 0 0 0 5 10 2 21051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 21050102
+1 0 0 0 0 5 1 2 21050102
+1 0 0 0 0 5 2 2 21050202
+1 0 0 0 0 5 3 2 21050302
+1 0 0 0 0 5 4 2 21050402
+1 0 0 0 0 5 5 2 21050502
+1 0 0 0 0 5 6 2 21050602
+1 0 0 0 0 5 7 2 21050702
+1 0 0 0 0 5 8 2 21050802
+1 0 0 0 0 5 9 2 21050902
+1 0 0 0 0 5 10 2 21051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/txx.zl b/CarpetAttic/Cart3dTest/test/axial-yz/txx.zl
new file mode 100644
index 000000000..074f2bc37
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/txx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::txx z (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 21050100
+0 0 0 0 0 5 1 1 21050101
+0 0 0 0 0 5 1 2 21050102
+0 0 0 0 0 5 1 3 21050103
+0 0 0 0 0 5 1 4 21050104
+0 0 0 0 0 5 1 5 21050105
+0 0 0 0 0 5 1 6 21050106
+0 0 0 0 0 5 1 7 21050107
+0 0 0 0 0 5 1 8 21050108
+0 0 0 0 0 5 1 9 21050109
+0 0 0 0 0 5 1 10 21050110
+0 0 0 0 0 5 1 11 21050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 21050202
+1 0 0 0 0 5 1 1 21050102
+1 0 0 0 0 5 1 2 21050102
+1 0 0 0 0 5 1 3 21050103
+1 0 0 0 0 5 1 4 21050104
+1 0 0 0 0 5 1 5 21050105
+1 0 0 0 0 5 1 6 21050106
+1 0 0 0 0 5 1 7 21050107
+1 0 0 0 0 5 1 8 21050108
+1 0 0 0 0 5 1 9 21050109
+1 0 0 0 0 5 1 10 21050110
+1 0 0 0 0 5 1 11 21050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/txy.xl b/CarpetAttic/Cart3dTest/test/axial-yz/txy.xl
new file mode 100644
index 000000000..c536cc0d9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/txy.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::txy x (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 22000102
+0 0 0 0 0 1 1 2 22010102
+0 0 0 0 0 2 1 2 22020102
+0 0 0 0 0 3 1 2 22030102
+0 0 0 0 0 4 1 2 22040102
+0 0 0 0 0 5 1 2 22050102
+0 0 0 0 0 6 1 2 22060102
+0 0 0 0 0 7 1 2 22070102
+0 0 0 0 0 8 1 2 22080102
+0 0 0 0 0 9 1 2 22090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 22000102
+1 0 0 0 0 1 1 2 22010102
+1 0 0 0 0 2 1 2 22020102
+1 0 0 0 0 3 1 2 22030102
+1 0 0 0 0 4 1 2 22040102
+1 0 0 0 0 5 1 2 22050102
+1 0 0 0 0 6 1 2 22060102
+1 0 0 0 0 7 1 2 22070102
+1 0 0 0 0 8 1 2 22080102
+1 0 0 0 0 9 1 2 22090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/txy.yl b/CarpetAttic/Cart3dTest/test/axial-yz/txy.yl
new file mode 100644
index 000000000..ecfc4c7b5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/txy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy y (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 22050002
+0 0 0 0 0 5 1 2 22050102
+0 0 0 0 0 5 2 2 22050202
+0 0 0 0 0 5 3 2 22050302
+0 0 0 0 0 5 4 2 22050402
+0 0 0 0 0 5 5 2 22050502
+0 0 0 0 0 5 6 2 22050602
+0 0 0 0 0 5 7 2 22050702
+0 0 0 0 0 5 8 2 22050802
+0 0 0 0 0 5 9 2 22050902
+0 0 0 0 0 5 10 2 22051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 -23050102
+1 0 0 0 0 5 1 2 22050102
+1 0 0 0 0 5 2 2 22050202
+1 0 0 0 0 5 3 2 22050302
+1 0 0 0 0 5 4 2 22050402
+1 0 0 0 0 5 5 2 22050502
+1 0 0 0 0 5 6 2 22050602
+1 0 0 0 0 5 7 2 22050702
+1 0 0 0 0 5 8 2 22050802
+1 0 0 0 0 5 9 2 22050902
+1 0 0 0 0 5 10 2 22051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/txy.zl b/CarpetAttic/Cart3dTest/test/axial-yz/txy.zl
new file mode 100644
index 000000000..411fb8576
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/txy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::txy z (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 22050100
+0 0 0 0 0 5 1 1 22050101
+0 0 0 0 0 5 1 2 22050102
+0 0 0 0 0 5 1 3 22050103
+0 0 0 0 0 5 1 4 22050104
+0 0 0 0 0 5 1 5 22050105
+0 0 0 0 0 5 1 6 22050106
+0 0 0 0 0 5 1 7 22050107
+0 0 0 0 0 5 1 8 22050108
+0 0 0 0 0 5 1 9 22050109
+0 0 0 0 0 5 1 10 22050110
+0 0 0 0 0 5 1 11 22050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 23050202
+1 0 0 0 0 5 1 1 23050102
+1 0 0 0 0 5 1 2 22050102
+1 0 0 0 0 5 1 3 22050103
+1 0 0 0 0 5 1 4 22050104
+1 0 0 0 0 5 1 5 22050105
+1 0 0 0 0 5 1 6 22050106
+1 0 0 0 0 5 1 7 22050107
+1 0 0 0 0 5 1 8 22050108
+1 0 0 0 0 5 1 9 22050109
+1 0 0 0 0 5 1 10 22050110
+1 0 0 0 0 5 1 11 22050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/txz.xl b/CarpetAttic/Cart3dTest/test/axial-yz/txz.xl
new file mode 100644
index 000000000..ca6efde6c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/txz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::txz x (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 23000102
+0 0 0 0 0 1 1 2 23010102
+0 0 0 0 0 2 1 2 23020102
+0 0 0 0 0 3 1 2 23030102
+0 0 0 0 0 4 1 2 23040102
+0 0 0 0 0 5 1 2 23050102
+0 0 0 0 0 6 1 2 23060102
+0 0 0 0 0 7 1 2 23070102
+0 0 0 0 0 8 1 2 23080102
+0 0 0 0 0 9 1 2 23090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 23000102
+1 0 0 0 0 1 1 2 23010102
+1 0 0 0 0 2 1 2 23020102
+1 0 0 0 0 3 1 2 23030102
+1 0 0 0 0 4 1 2 23040102
+1 0 0 0 0 5 1 2 23050102
+1 0 0 0 0 6 1 2 23060102
+1 0 0 0 0 7 1 2 23070102
+1 0 0 0 0 8 1 2 23080102
+1 0 0 0 0 9 1 2 23090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/txz.yl b/CarpetAttic/Cart3dTest/test/axial-yz/txz.yl
new file mode 100644
index 000000000..a32b76089
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/txz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz y (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 23050002
+0 0 0 0 0 5 1 2 23050102
+0 0 0 0 0 5 2 2 23050202
+0 0 0 0 0 5 3 2 23050302
+0 0 0 0 0 5 4 2 23050402
+0 0 0 0 0 5 5 2 23050502
+0 0 0 0 0 5 6 2 23050602
+0 0 0 0 0 5 7 2 23050702
+0 0 0 0 0 5 8 2 23050802
+0 0 0 0 0 5 9 2 23050902
+0 0 0 0 0 5 10 2 23051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 22050102
+1 0 0 0 0 5 1 2 23050102
+1 0 0 0 0 5 2 2 23050202
+1 0 0 0 0 5 3 2 23050302
+1 0 0 0 0 5 4 2 23050402
+1 0 0 0 0 5 5 2 23050502
+1 0 0 0 0 5 6 2 23050602
+1 0 0 0 0 5 7 2 23050702
+1 0 0 0 0 5 8 2 23050802
+1 0 0 0 0 5 9 2 23050902
+1 0 0 0 0 5 10 2 23051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/txz.zl b/CarpetAttic/Cart3dTest/test/axial-yz/txz.zl
new file mode 100644
index 000000000..7caad3155
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/txz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::txz z (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 23050100
+0 0 0 0 0 5 1 1 23050101
+0 0 0 0 0 5 1 2 23050102
+0 0 0 0 0 5 1 3 23050103
+0 0 0 0 0 5 1 4 23050104
+0 0 0 0 0 5 1 5 23050105
+0 0 0 0 0 5 1 6 23050106
+0 0 0 0 0 5 1 7 23050107
+0 0 0 0 0 5 1 8 23050108
+0 0 0 0 0 5 1 9 23050109
+0 0 0 0 0 5 1 10 23050110
+0 0 0 0 0 5 1 11 23050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 -22050202
+1 0 0 0 0 5 1 1 -22050102
+1 0 0 0 0 5 1 2 23050102
+1 0 0 0 0 5 1 3 23050103
+1 0 0 0 0 5 1 4 23050104
+1 0 0 0 0 5 1 5 23050105
+1 0 0 0 0 5 1 6 23050106
+1 0 0 0 0 5 1 7 23050107
+1 0 0 0 0 5 1 8 23050108
+1 0 0 0 0 5 1 9 23050109
+1 0 0 0 0 5 1 10 23050110
+1 0 0 0 0 5 1 11 23050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/tyy.xl b/CarpetAttic/Cart3dTest/test/axial-yz/tyy.xl
new file mode 100644
index 000000000..ef9352eda
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/tyy.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::tyy x (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 24000102
+0 0 0 0 0 1 1 2 24010102
+0 0 0 0 0 2 1 2 24020102
+0 0 0 0 0 3 1 2 24030102
+0 0 0 0 0 4 1 2 24040102
+0 0 0 0 0 5 1 2 24050102
+0 0 0 0 0 6 1 2 24060102
+0 0 0 0 0 7 1 2 24070102
+0 0 0 0 0 8 1 2 24080102
+0 0 0 0 0 9 1 2 24090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 24000102
+1 0 0 0 0 1 1 2 24010102
+1 0 0 0 0 2 1 2 24020102
+1 0 0 0 0 3 1 2 24030102
+1 0 0 0 0 4 1 2 24040102
+1 0 0 0 0 5 1 2 24050102
+1 0 0 0 0 6 1 2 24060102
+1 0 0 0 0 7 1 2 24070102
+1 0 0 0 0 8 1 2 24080102
+1 0 0 0 0 9 1 2 24090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/tyy.yl b/CarpetAttic/Cart3dTest/test/axial-yz/tyy.yl
new file mode 100644
index 000000000..fc646bf17
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/tyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy y (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 24050002
+0 0 0 0 0 5 1 2 24050102
+0 0 0 0 0 5 2 2 24050202
+0 0 0 0 0 5 3 2 24050302
+0 0 0 0 0 5 4 2 24050402
+0 0 0 0 0 5 5 2 24050502
+0 0 0 0 0 5 6 2 24050602
+0 0 0 0 0 5 7 2 24050702
+0 0 0 0 0 5 8 2 24050802
+0 0 0 0 0 5 9 2 24050902
+0 0 0 0 0 5 10 2 24051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 26050102
+1 0 0 0 0 5 1 2 24050102
+1 0 0 0 0 5 2 2 24050202
+1 0 0 0 0 5 3 2 24050302
+1 0 0 0 0 5 4 2 24050402
+1 0 0 0 0 5 5 2 24050502
+1 0 0 0 0 5 6 2 24050602
+1 0 0 0 0 5 7 2 24050702
+1 0 0 0 0 5 8 2 24050802
+1 0 0 0 0 5 9 2 24050902
+1 0 0 0 0 5 10 2 24051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/tyy.zl b/CarpetAttic/Cart3dTest/test/axial-yz/tyy.zl
new file mode 100644
index 000000000..837fdc7fd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/tyy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::tyy z (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 24050100
+0 0 0 0 0 5 1 1 24050101
+0 0 0 0 0 5 1 2 24050102
+0 0 0 0 0 5 1 3 24050103
+0 0 0 0 0 5 1 4 24050104
+0 0 0 0 0 5 1 5 24050105
+0 0 0 0 0 5 1 6 24050106
+0 0 0 0 0 5 1 7 24050107
+0 0 0 0 0 5 1 8 24050108
+0 0 0 0 0 5 1 9 24050109
+0 0 0 0 0 5 1 10 24050110
+0 0 0 0 0 5 1 11 24050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 26050202
+1 0 0 0 0 5 1 1 26050102
+1 0 0 0 0 5 1 2 24050102
+1 0 0 0 0 5 1 3 24050103
+1 0 0 0 0 5 1 4 24050104
+1 0 0 0 0 5 1 5 24050105
+1 0 0 0 0 5 1 6 24050106
+1 0 0 0 0 5 1 7 24050107
+1 0 0 0 0 5 1 8 24050108
+1 0 0 0 0 5 1 9 24050109
+1 0 0 0 0 5 1 10 24050110
+1 0 0 0 0 5 1 11 24050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/tyz.xl b/CarpetAttic/Cart3dTest/test/axial-yz/tyz.xl
new file mode 100644
index 000000000..67e27cf8e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/tyz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::tyz x (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 25000102
+0 0 0 0 0 1 1 2 25010102
+0 0 0 0 0 2 1 2 25020102
+0 0 0 0 0 3 1 2 25030102
+0 0 0 0 0 4 1 2 25040102
+0 0 0 0 0 5 1 2 25050102
+0 0 0 0 0 6 1 2 25060102
+0 0 0 0 0 7 1 2 25070102
+0 0 0 0 0 8 1 2 25080102
+0 0 0 0 0 9 1 2 25090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 25000102
+1 0 0 0 0 1 1 2 25010102
+1 0 0 0 0 2 1 2 25020102
+1 0 0 0 0 3 1 2 25030102
+1 0 0 0 0 4 1 2 25040102
+1 0 0 0 0 5 1 2 25050102
+1 0 0 0 0 6 1 2 25060102
+1 0 0 0 0 7 1 2 25070102
+1 0 0 0 0 8 1 2 25080102
+1 0 0 0 0 9 1 2 25090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/tyz.yl b/CarpetAttic/Cart3dTest/test/axial-yz/tyz.yl
new file mode 100644
index 000000000..cfdf17fb2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/tyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz y (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 25050002
+0 0 0 0 0 5 1 2 25050102
+0 0 0 0 0 5 2 2 25050202
+0 0 0 0 0 5 3 2 25050302
+0 0 0 0 0 5 4 2 25050402
+0 0 0 0 0 5 5 2 25050502
+0 0 0 0 0 5 6 2 25050602
+0 0 0 0 0 5 7 2 25050702
+0 0 0 0 0 5 8 2 25050802
+0 0 0 0 0 5 9 2 25050902
+0 0 0 0 0 5 10 2 25051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 -25050102
+1 0 0 0 0 5 1 2 25050102
+1 0 0 0 0 5 2 2 25050202
+1 0 0 0 0 5 3 2 25050302
+1 0 0 0 0 5 4 2 25050402
+1 0 0 0 0 5 5 2 25050502
+1 0 0 0 0 5 6 2 25050602
+1 0 0 0 0 5 7 2 25050702
+1 0 0 0 0 5 8 2 25050802
+1 0 0 0 0 5 9 2 25050902
+1 0 0 0 0 5 10 2 25051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/tyz.zl b/CarpetAttic/Cart3dTest/test/axial-yz/tyz.zl
new file mode 100644
index 000000000..f1e1afd29
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/tyz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::tyz z (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 25050100
+0 0 0 0 0 5 1 1 25050101
+0 0 0 0 0 5 1 2 25050102
+0 0 0 0 0 5 1 3 25050103
+0 0 0 0 0 5 1 4 25050104
+0 0 0 0 0 5 1 5 25050105
+0 0 0 0 0 5 1 6 25050106
+0 0 0 0 0 5 1 7 25050107
+0 0 0 0 0 5 1 8 25050108
+0 0 0 0 0 5 1 9 25050109
+0 0 0 0 0 5 1 10 25050110
+0 0 0 0 0 5 1 11 25050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 -25050202
+1 0 0 0 0 5 1 1 -25050102
+1 0 0 0 0 5 1 2 25050102
+1 0 0 0 0 5 1 3 25050103
+1 0 0 0 0 5 1 4 25050104
+1 0 0 0 0 5 1 5 25050105
+1 0 0 0 0 5 1 6 25050106
+1 0 0 0 0 5 1 7 25050107
+1 0 0 0 0 5 1 8 25050108
+1 0 0 0 0 5 1 9 25050109
+1 0 0 0 0 5 1 10 25050110
+1 0 0 0 0 5 1 11 25050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/tzz.xl b/CarpetAttic/Cart3dTest/test/axial-yz/tzz.xl
new file mode 100644
index 000000000..432c340cf
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/tzz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::tzz x (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 26000102
+0 0 0 0 0 1 1 2 26010102
+0 0 0 0 0 2 1 2 26020102
+0 0 0 0 0 3 1 2 26030102
+0 0 0 0 0 4 1 2 26040102
+0 0 0 0 0 5 1 2 26050102
+0 0 0 0 0 6 1 2 26060102
+0 0 0 0 0 7 1 2 26070102
+0 0 0 0 0 8 1 2 26080102
+0 0 0 0 0 9 1 2 26090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 26000102
+1 0 0 0 0 1 1 2 26010102
+1 0 0 0 0 2 1 2 26020102
+1 0 0 0 0 3 1 2 26030102
+1 0 0 0 0 4 1 2 26040102
+1 0 0 0 0 5 1 2 26050102
+1 0 0 0 0 6 1 2 26060102
+1 0 0 0 0 7 1 2 26070102
+1 0 0 0 0 8 1 2 26080102
+1 0 0 0 0 9 1 2 26090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/tzz.yl b/CarpetAttic/Cart3dTest/test/axial-yz/tzz.yl
new file mode 100644
index 000000000..96ee8a40f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/tzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz y (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 26050002
+0 0 0 0 0 5 1 2 26050102
+0 0 0 0 0 5 2 2 26050202
+0 0 0 0 0 5 3 2 26050302
+0 0 0 0 0 5 4 2 26050402
+0 0 0 0 0 5 5 2 26050502
+0 0 0 0 0 5 6 2 26050602
+0 0 0 0 0 5 7 2 26050702
+0 0 0 0 0 5 8 2 26050802
+0 0 0 0 0 5 9 2 26050902
+0 0 0 0 0 5 10 2 26051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 24050102
+1 0 0 0 0 5 1 2 26050102
+1 0 0 0 0 5 2 2 26050202
+1 0 0 0 0 5 3 2 26050302
+1 0 0 0 0 5 4 2 26050402
+1 0 0 0 0 5 5 2 26050502
+1 0 0 0 0 5 6 2 26050602
+1 0 0 0 0 5 7 2 26050702
+1 0 0 0 0 5 8 2 26050802
+1 0 0 0 0 5 9 2 26050902
+1 0 0 0 0 5 10 2 26051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/tzz.zl b/CarpetAttic/Cart3dTest/test/axial-yz/tzz.zl
new file mode 100644
index 000000000..edfced71c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/tzz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::tzz z (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 26050100
+0 0 0 0 0 5 1 1 26050101
+0 0 0 0 0 5 1 2 26050102
+0 0 0 0 0 5 1 3 26050103
+0 0 0 0 0 5 1 4 26050104
+0 0 0 0 0 5 1 5 26050105
+0 0 0 0 0 5 1 6 26050106
+0 0 0 0 0 5 1 7 26050107
+0 0 0 0 0 5 1 8 26050108
+0 0 0 0 0 5 1 9 26050109
+0 0 0 0 0 5 1 10 26050110
+0 0 0 0 0 5 1 11 26050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 24050202
+1 0 0 0 0 5 1 1 24050102
+1 0 0 0 0 5 1 2 26050102
+1 0 0 0 0 5 1 3 26050103
+1 0 0 0 0 5 1 4 26050104
+1 0 0 0 0 5 1 5 26050105
+1 0 0 0 0 5 1 6 26050106
+1 0 0 0 0 5 1 7 26050107
+1 0 0 0 0 5 1 8 26050108
+1 0 0 0 0 5 1 9 26050109
+1 0 0 0 0 5 1 10 26050110
+1 0 0 0 0 5 1 11 26050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/vx.xl b/CarpetAttic/Cart3dTest/test/axial-yz/vx.xl
new file mode 100644
index 000000000..740b6deba
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/vx.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 11000102
+0 0 0 0 0 1 1 2 11010102
+0 0 0 0 0 2 1 2 11020102
+0 0 0 0 0 3 1 2 11030102
+0 0 0 0 0 4 1 2 11040102
+0 0 0 0 0 5 1 2 11050102
+0 0 0 0 0 6 1 2 11060102
+0 0 0 0 0 7 1 2 11070102
+0 0 0 0 0 8 1 2 11080102
+0 0 0 0 0 9 1 2 11090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 11000102
+1 0 0 0 0 1 1 2 11010102
+1 0 0 0 0 2 1 2 11020102
+1 0 0 0 0 3 1 2 11030102
+1 0 0 0 0 4 1 2 11040102
+1 0 0 0 0 5 1 2 11050102
+1 0 0 0 0 6 1 2 11060102
+1 0 0 0 0 7 1 2 11070102
+1 0 0 0 0 8 1 2 11080102
+1 0 0 0 0 9 1 2 11090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/vx.yl b/CarpetAttic/Cart3dTest/test/axial-yz/vx.yl
new file mode 100644
index 000000000..8b19cf959
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/vx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 11050002
+0 0 0 0 0 5 1 2 11050102
+0 0 0 0 0 5 2 2 11050202
+0 0 0 0 0 5 3 2 11050302
+0 0 0 0 0 5 4 2 11050402
+0 0 0 0 0 5 5 2 11050502
+0 0 0 0 0 5 6 2 11050602
+0 0 0 0 0 5 7 2 11050702
+0 0 0 0 0 5 8 2 11050802
+0 0 0 0 0 5 9 2 11050902
+0 0 0 0 0 5 10 2 11051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 11050102
+1 0 0 0 0 5 1 2 11050102
+1 0 0 0 0 5 2 2 11050202
+1 0 0 0 0 5 3 2 11050302
+1 0 0 0 0 5 4 2 11050402
+1 0 0 0 0 5 5 2 11050502
+1 0 0 0 0 5 6 2 11050602
+1 0 0 0 0 5 7 2 11050702
+1 0 0 0 0 5 8 2 11050802
+1 0 0 0 0 5 9 2 11050902
+1 0 0 0 0 5 10 2 11051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/vx.zl b/CarpetAttic/Cart3dTest/test/axial-yz/vx.zl
new file mode 100644
index 000000000..2c7ed7c3f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/vx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 11050100
+0 0 0 0 0 5 1 1 11050101
+0 0 0 0 0 5 1 2 11050102
+0 0 0 0 0 5 1 3 11050103
+0 0 0 0 0 5 1 4 11050104
+0 0 0 0 0 5 1 5 11050105
+0 0 0 0 0 5 1 6 11050106
+0 0 0 0 0 5 1 7 11050107
+0 0 0 0 0 5 1 8 11050108
+0 0 0 0 0 5 1 9 11050109
+0 0 0 0 0 5 1 10 11050110
+0 0 0 0 0 5 1 11 11050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 11050202
+1 0 0 0 0 5 1 1 11050102
+1 0 0 0 0 5 1 2 11050102
+1 0 0 0 0 5 1 3 11050103
+1 0 0 0 0 5 1 4 11050104
+1 0 0 0 0 5 1 5 11050105
+1 0 0 0 0 5 1 6 11050106
+1 0 0 0 0 5 1 7 11050107
+1 0 0 0 0 5 1 8 11050108
+1 0 0 0 0 5 1 9 11050109
+1 0 0 0 0 5 1 10 11050110
+1 0 0 0 0 5 1 11 11050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/vy.xl b/CarpetAttic/Cart3dTest/test/axial-yz/vy.xl
new file mode 100644
index 000000000..d41ff6c7d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/vy.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 12000102
+0 0 0 0 0 1 1 2 12010102
+0 0 0 0 0 2 1 2 12020102
+0 0 0 0 0 3 1 2 12030102
+0 0 0 0 0 4 1 2 12040102
+0 0 0 0 0 5 1 2 12050102
+0 0 0 0 0 6 1 2 12060102
+0 0 0 0 0 7 1 2 12070102
+0 0 0 0 0 8 1 2 12080102
+0 0 0 0 0 9 1 2 12090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 12000102
+1 0 0 0 0 1 1 2 12010102
+1 0 0 0 0 2 1 2 12020102
+1 0 0 0 0 3 1 2 12030102
+1 0 0 0 0 4 1 2 12040102
+1 0 0 0 0 5 1 2 12050102
+1 0 0 0 0 6 1 2 12060102
+1 0 0 0 0 7 1 2 12070102
+1 0 0 0 0 8 1 2 12080102
+1 0 0 0 0 9 1 2 12090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/vy.yl b/CarpetAttic/Cart3dTest/test/axial-yz/vy.yl
new file mode 100644
index 000000000..f57441a74
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/vy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 12050002
+0 0 0 0 0 5 1 2 12050102
+0 0 0 0 0 5 2 2 12050202
+0 0 0 0 0 5 3 2 12050302
+0 0 0 0 0 5 4 2 12050402
+0 0 0 0 0 5 5 2 12050502
+0 0 0 0 0 5 6 2 12050602
+0 0 0 0 0 5 7 2 12050702
+0 0 0 0 0 5 8 2 12050802
+0 0 0 0 0 5 9 2 12050902
+0 0 0 0 0 5 10 2 12051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 -13050102
+1 0 0 0 0 5 1 2 12050102
+1 0 0 0 0 5 2 2 12050202
+1 0 0 0 0 5 3 2 12050302
+1 0 0 0 0 5 4 2 12050402
+1 0 0 0 0 5 5 2 12050502
+1 0 0 0 0 5 6 2 12050602
+1 0 0 0 0 5 7 2 12050702
+1 0 0 0 0 5 8 2 12050802
+1 0 0 0 0 5 9 2 12050902
+1 0 0 0 0 5 10 2 12051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/vy.zl b/CarpetAttic/Cart3dTest/test/axial-yz/vy.zl
new file mode 100644
index 000000000..b50c5c8cb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/vy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 12050100
+0 0 0 0 0 5 1 1 12050101
+0 0 0 0 0 5 1 2 12050102
+0 0 0 0 0 5 1 3 12050103
+0 0 0 0 0 5 1 4 12050104
+0 0 0 0 0 5 1 5 12050105
+0 0 0 0 0 5 1 6 12050106
+0 0 0 0 0 5 1 7 12050107
+0 0 0 0 0 5 1 8 12050108
+0 0 0 0 0 5 1 9 12050109
+0 0 0 0 0 5 1 10 12050110
+0 0 0 0 0 5 1 11 12050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 13050202
+1 0 0 0 0 5 1 1 13050102
+1 0 0 0 0 5 1 2 12050102
+1 0 0 0 0 5 1 3 12050103
+1 0 0 0 0 5 1 4 12050104
+1 0 0 0 0 5 1 5 12050105
+1 0 0 0 0 5 1 6 12050106
+1 0 0 0 0 5 1 7 12050107
+1 0 0 0 0 5 1 8 12050108
+1 0 0 0 0 5 1 9 12050109
+1 0 0 0 0 5 1 10 12050110
+1 0 0 0 0 5 1 11 12050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/vz.xl b/CarpetAttic/Cart3dTest/test/axial-yz/vz.xl
new file mode 100644
index 000000000..549a27c07
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/vz.xl
@@ -0,0 +1,32 @@
+# CART3DTEST::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 13000102
+0 0 0 0 0 1 1 2 13010102
+0 0 0 0 0 2 1 2 13020102
+0 0 0 0 0 3 1 2 13030102
+0 0 0 0 0 4 1 2 13040102
+0 0 0 0 0 5 1 2 13050102
+0 0 0 0 0 6 1 2 13060102
+0 0 0 0 0 7 1 2 13070102
+0 0 0 0 0 8 1 2 13080102
+0 0 0 0 0 9 1 2 13090102
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 13000102
+1 0 0 0 0 1 1 2 13010102
+1 0 0 0 0 2 1 2 13020102
+1 0 0 0 0 3 1 2 13030102
+1 0 0 0 0 4 1 2 13040102
+1 0 0 0 0 5 1 2 13050102
+1 0 0 0 0 6 1 2 13060102
+1 0 0 0 0 7 1 2 13070102
+1 0 0 0 0 8 1 2 13080102
+1 0 0 0 0 9 1 2 13090102
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/vz.yl b/CarpetAttic/Cart3dTest/test/axial-yz/vz.yl
new file mode 100644
index 000000000..eb1c4ea24
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/vz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 13050002
+0 0 0 0 0 5 1 2 13050102
+0 0 0 0 0 5 2 2 13050202
+0 0 0 0 0 5 3 2 13050302
+0 0 0 0 0 5 4 2 13050402
+0 0 0 0 0 5 5 2 13050502
+0 0 0 0 0 5 6 2 13050602
+0 0 0 0 0 5 7 2 13050702
+0 0 0 0 0 5 8 2 13050802
+0 0 0 0 0 5 9 2 13050902
+0 0 0 0 0 5 10 2 13051002
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 12050102
+1 0 0 0 0 5 1 2 13050102
+1 0 0 0 0 5 2 2 13050202
+1 0 0 0 0 5 3 2 13050302
+1 0 0 0 0 5 4 2 13050402
+1 0 0 0 0 5 5 2 13050502
+1 0 0 0 0 5 6 2 13050602
+1 0 0 0 0 5 7 2 13050702
+1 0 0 0 0 5 8 2 13050802
+1 0 0 0 0 5 9 2 13050902
+1 0 0 0 0 5 10 2 13051002
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial-yz/vz.zl b/CarpetAttic/Cart3dTest/test/axial-yz/vz.zl
new file mode 100644
index 000000000..4cb962eb9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial-yz/vz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 13050100
+0 0 0 0 0 5 1 1 13050101
+0 0 0 0 0 5 1 2 13050102
+0 0 0 0 0 5 1 3 13050103
+0 0 0 0 0 5 1 4 13050104
+0 0 0 0 0 5 1 5 13050105
+0 0 0 0 0 5 1 6 13050106
+0 0 0 0 0 5 1 7 13050107
+0 0 0 0 0 5 1 8 13050108
+0 0 0 0 0 5 1 9 13050109
+0 0 0 0 0 5 1 10 13050110
+0 0 0 0 0 5 1 11 13050111
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 -12050202
+1 0 0 0 0 5 1 1 -12050102
+1 0 0 0 0 5 1 2 13050102
+1 0 0 0 0 5 1 3 13050103
+1 0 0 0 0 5 1 4 13050104
+1 0 0 0 0 5 1 5 13050105
+1 0 0 0 0 5 1 6 13050106
+1 0 0 0 0 5 1 7 13050107
+1 0 0 0 0 5 1 8 13050108
+1 0 0 0 0 5 1 9 13050109
+1 0 0 0 0 5 1 10 13050110
+1 0 0 0 0 5 1 11 13050111
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial.log b/CarpetAttic/Cart3dTest/test/axial.log
new file mode 100644
index 000000000..5f79d9b44
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial.log
@@ -0,0 +1,81 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([1,1,1]:[8,8,8]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[0,9,9]:[1,1,1]),([1,0,0]:[8,0,9]:[1,1,1]),([9,0,0]:[9,9,9]:[1,1,1]),([1,1,0]:[8,8,0]:[1,1,1]),([1,9,0]:[8,9,9]:[1,1,1]),([1,1,9]:[8,8,9]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[0,9,9]:[1,1,1]),([1,0,0]:[8,0,9]:[1,1,1]),([9,0,0]:[9,9,9]:[1,1,1]),([1,1,0]:[8,8,0]:[1,1,1]),([1,9,0]:[8,9,9]:[1,1,1]),([1,1,9]:[8,8,9]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([1,1,1]:[8,8,8]:[1,1,1])
+boundaries={([0,0,0]:[0,9,9]:[1,1,1]),([1,0,0]:[8,0,9]:[1,1,1]),([9,0,0]:[9,9,9]:[1,1,1]),([1,1,0]:[8,8,0]:[1,1,1]),([1,9,0]:[8,9,9]:[1,1,1]),([1,1,9]:[8,8,9]:[1,1,1])}
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/axial.par b/CarpetAttic/Cart3dTest/test/axial.par
new file mode 100644
index 000000000..0767051c4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial.par
@@ -0,0 +1,17 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/axial.par,v 1.4 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 1
+
+grid::type = "byspacing"
+grid::mode = "axial"
+
+driver::ghost_size_x = 1
+driver::ghost_size_y = 1
+driver::ghost_size_z = 1
+
+IO::out_dir = "axial"
+IOASCII::out1D_vars = "grid::coordinates Cart3dTest::quantities"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/axial/ax.xl b/CarpetAttic/Cart3dTest/test/axial/ax.xl
new file mode 100644
index 000000000..f3c85f513
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/ax.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax x (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 31000105
+0 0 0 0 0 1 1 5 31010105
+0 0 0 0 0 2 1 5 31020105
+0 0 0 0 0 3 1 5 31030105
+0 0 0 0 0 4 1 5 31040105
+0 0 0 0 0 5 1 5 31050105
+0 0 0 0 0 6 1 5 31060105
+0 0 0 0 0 7 1 5 31070105
+0 0 0 0 0 8 1 5 31080105
+0 0 0 0 0 9 1 5 31090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 32010105
+1 0 0 0 0 1 1 5 31010105
+1 0 0 0 0 2 1 5 31020105
+1 0 0 0 0 3 1 5 31030105
+1 0 0 0 0 4 1 5 31040105
+1 0 0 0 0 5 1 5 31050105
+1 0 0 0 0 6 1 5 31060105
+1 0 0 0 0 7 1 5 31070105
+1 0 0 0 0 8 1 5 31080105
+1 0 0 0 0 9 1 5 31090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/ax.yl b/CarpetAttic/Cart3dTest/test/axial/ax.yl
new file mode 100644
index 000000000..10079a923
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/ax.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax y (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 31010005
+0 0 0 0 0 1 1 5 31010105
+0 0 0 0 0 1 2 5 31010205
+0 0 0 0 0 1 3 5 31010305
+0 0 0 0 0 1 4 5 31010405
+0 0 0 0 0 1 5 5 31010505
+0 0 0 0 0 1 6 5 31010605
+0 0 0 0 0 1 7 5 31010705
+0 0 0 0 0 1 8 5 31010805
+0 0 0 0 0 1 9 5 31010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 -32010105
+1 0 0 0 0 1 1 5 31010105
+1 0 0 0 0 1 2 5 31010205
+1 0 0 0 0 1 3 5 31010305
+1 0 0 0 0 1 4 5 31010405
+1 0 0 0 0 1 5 5 31010505
+1 0 0 0 0 1 6 5 31010605
+1 0 0 0 0 1 7 5 31010705
+1 0 0 0 0 1 8 5 31010805
+1 0 0 0 0 1 9 5 31010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/ax.zl b/CarpetAttic/Cart3dTest/test/axial/ax.zl
new file mode 100644
index 000000000..991b16d53
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/ax.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax z (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 31010100
+0 0 0 0 0 1 1 1 31010101
+0 0 0 0 0 1 1 2 31010102
+0 0 0 0 0 1 1 3 31010103
+0 0 0 0 0 1 1 4 31010104
+0 0 0 0 0 1 1 5 31010105
+0 0 0 0 0 1 1 6 31010106
+0 0 0 0 0 1 1 7 31010107
+0 0 0 0 0 1 1 8 31010108
+0 0 0 0 0 1 1 9 31010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 31010100
+1 0 0 0 0 1 1 1 31010101
+1 0 0 0 0 1 1 2 31010102
+1 0 0 0 0 1 1 3 31010103
+1 0 0 0 0 1 1 4 31010104
+1 0 0 0 0 1 1 5 31010105
+1 0 0 0 0 1 1 6 31010106
+1 0 0 0 0 1 1 7 31010107
+1 0 0 0 0 1 1 8 31010108
+1 0 0 0 0 1 1 9 31010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/ay.xl b/CarpetAttic/Cart3dTest/test/axial/ay.xl
new file mode 100644
index 000000000..8a7d8e673
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/ay.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay x (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 32000105
+0 0 0 0 0 1 1 5 32010105
+0 0 0 0 0 2 1 5 32020105
+0 0 0 0 0 3 1 5 32030105
+0 0 0 0 0 4 1 5 32040105
+0 0 0 0 0 5 1 5 32050105
+0 0 0 0 0 6 1 5 32060105
+0 0 0 0 0 7 1 5 32070105
+0 0 0 0 0 8 1 5 32080105
+0 0 0 0 0 9 1 5 32090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 -31010105
+1 0 0 0 0 1 1 5 32010105
+1 0 0 0 0 2 1 5 32020105
+1 0 0 0 0 3 1 5 32030105
+1 0 0 0 0 4 1 5 32040105
+1 0 0 0 0 5 1 5 32050105
+1 0 0 0 0 6 1 5 32060105
+1 0 0 0 0 7 1 5 32070105
+1 0 0 0 0 8 1 5 32080105
+1 0 0 0 0 9 1 5 32090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/ay.yl b/CarpetAttic/Cart3dTest/test/axial/ay.yl
new file mode 100644
index 000000000..c3d66a5d4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/ay.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay y (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 32010005
+0 0 0 0 0 1 1 5 32010105
+0 0 0 0 0 1 2 5 32010205
+0 0 0 0 0 1 3 5 32010305
+0 0 0 0 0 1 4 5 32010405
+0 0 0 0 0 1 5 5 32010505
+0 0 0 0 0 1 6 5 32010605
+0 0 0 0 0 1 7 5 32010705
+0 0 0 0 0 1 8 5 32010805
+0 0 0 0 0 1 9 5 32010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 31010105
+1 0 0 0 0 1 1 5 32010105
+1 0 0 0 0 1 2 5 32010205
+1 0 0 0 0 1 3 5 32010305
+1 0 0 0 0 1 4 5 32010405
+1 0 0 0 0 1 5 5 32010505
+1 0 0 0 0 1 6 5 32010605
+1 0 0 0 0 1 7 5 32010705
+1 0 0 0 0 1 8 5 32010805
+1 0 0 0 0 1 9 5 32010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/ay.zl b/CarpetAttic/Cart3dTest/test/axial/ay.zl
new file mode 100644
index 000000000..9025fd3da
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/ay.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay z (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 32010100
+0 0 0 0 0 1 1 1 32010101
+0 0 0 0 0 1 1 2 32010102
+0 0 0 0 0 1 1 3 32010103
+0 0 0 0 0 1 1 4 32010104
+0 0 0 0 0 1 1 5 32010105
+0 0 0 0 0 1 1 6 32010106
+0 0 0 0 0 1 1 7 32010107
+0 0 0 0 0 1 1 8 32010108
+0 0 0 0 0 1 1 9 32010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 32010100
+1 0 0 0 0 1 1 1 32010101
+1 0 0 0 0 1 1 2 32010102
+1 0 0 0 0 1 1 3 32010103
+1 0 0 0 0 1 1 4 32010104
+1 0 0 0 0 1 1 5 32010105
+1 0 0 0 0 1 1 6 32010106
+1 0 0 0 0 1 1 7 32010107
+1 0 0 0 0 1 1 8 32010108
+1 0 0 0 0 1 1 9 32010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/az.xl b/CarpetAttic/Cart3dTest/test/axial/az.xl
new file mode 100644
index 000000000..2bd8aaaa3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/az.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::az x (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 33000105
+0 0 0 0 0 1 1 5 33010105
+0 0 0 0 0 2 1 5 33020105
+0 0 0 0 0 3 1 5 33030105
+0 0 0 0 0 4 1 5 33040105
+0 0 0 0 0 5 1 5 33050105
+0 0 0 0 0 6 1 5 33060105
+0 0 0 0 0 7 1 5 33070105
+0 0 0 0 0 8 1 5 33080105
+0 0 0 0 0 9 1 5 33090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 33010105
+1 0 0 0 0 1 1 5 33010105
+1 0 0 0 0 2 1 5 33020105
+1 0 0 0 0 3 1 5 33030105
+1 0 0 0 0 4 1 5 33040105
+1 0 0 0 0 5 1 5 33050105
+1 0 0 0 0 6 1 5 33060105
+1 0 0 0 0 7 1 5 33070105
+1 0 0 0 0 8 1 5 33080105
+1 0 0 0 0 9 1 5 33090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/az.yl b/CarpetAttic/Cart3dTest/test/axial/az.yl
new file mode 100644
index 000000000..cb2644b10
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/az.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::az y (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 33010005
+0 0 0 0 0 1 1 5 33010105
+0 0 0 0 0 1 2 5 33010205
+0 0 0 0 0 1 3 5 33010305
+0 0 0 0 0 1 4 5 33010405
+0 0 0 0 0 1 5 5 33010505
+0 0 0 0 0 1 6 5 33010605
+0 0 0 0 0 1 7 5 33010705
+0 0 0 0 0 1 8 5 33010805
+0 0 0 0 0 1 9 5 33010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 33010105
+1 0 0 0 0 1 1 5 33010105
+1 0 0 0 0 1 2 5 33010205
+1 0 0 0 0 1 3 5 33010305
+1 0 0 0 0 1 4 5 33010405
+1 0 0 0 0 1 5 5 33010505
+1 0 0 0 0 1 6 5 33010605
+1 0 0 0 0 1 7 5 33010705
+1 0 0 0 0 1 8 5 33010805
+1 0 0 0 0 1 9 5 33010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/az.zl b/CarpetAttic/Cart3dTest/test/axial/az.zl
new file mode 100644
index 000000000..a17465fb8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/az.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::az z (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 33010100
+0 0 0 0 0 1 1 1 33010101
+0 0 0 0 0 1 1 2 33010102
+0 0 0 0 0 1 1 3 33010103
+0 0 0 0 0 1 1 4 33010104
+0 0 0 0 0 1 1 5 33010105
+0 0 0 0 0 1 1 6 33010106
+0 0 0 0 0 1 1 7 33010107
+0 0 0 0 0 1 1 8 33010108
+0 0 0 0 0 1 1 9 33010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 33010100
+1 0 0 0 0 1 1 1 33010101
+1 0 0 0 0 1 1 2 33010102
+1 0 0 0 0 1 1 3 33010103
+1 0 0 0 0 1 1 4 33010104
+1 0 0 0 0 1 1 5 33010105
+1 0 0 0 0 1 1 6 33010106
+1 0 0 0 0 1 1 7 33010107
+1 0 0 0 0 1 1 8 33010108
+1 0 0 0 0 1 1 9 33010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/axial/cart3d_x.xl
new file mode 100644
index 000000000..be86e5f0b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/cart3d_x.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 -0.15
+0 0 0 0 0 1 1 5 0.15
+0 0 0 0 0 2 1 5 0.45
+0 0 0 0 0 3 1 5 0.75
+0 0 0 0 0 4 1 5 1.05
+0 0 0 0 0 5 1 5 1.35
+0 0 0 0 0 6 1 5 1.65
+0 0 0 0 0 7 1 5 1.95
+0 0 0 0 0 8 1 5 2.25
+0 0 0 0 0 9 1 5 2.55
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 -0.15
+1 0 0 0 0 1 1 5 0.15
+1 0 0 0 0 2 1 5 0.45
+1 0 0 0 0 3 1 5 0.75
+1 0 0 0 0 4 1 5 1.05
+1 0 0 0 0 5 1 5 1.35
+1 0 0 0 0 6 1 5 1.65
+1 0 0 0 0 7 1 5 1.95
+1 0 0 0 0 8 1 5 2.25
+1 0 0 0 0 9 1 5 2.55
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/axial/cart3d_x.yl
new file mode 100644
index 000000000..b8aa9ff5b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/cart3d_x.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 0.15
+0 0 0 0 0 1 1 5 0.15
+0 0 0 0 0 1 2 5 0.15
+0 0 0 0 0 1 3 5 0.15
+0 0 0 0 0 1 4 5 0.15
+0 0 0 0 0 1 5 5 0.15
+0 0 0 0 0 1 6 5 0.15
+0 0 0 0 0 1 7 5 0.15
+0 0 0 0 0 1 8 5 0.15
+0 0 0 0 0 1 9 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 0.15
+1 0 0 0 0 1 1 5 0.15
+1 0 0 0 0 1 2 5 0.15
+1 0 0 0 0 1 3 5 0.15
+1 0 0 0 0 1 4 5 0.15
+1 0 0 0 0 1 5 5 0.15
+1 0 0 0 0 1 6 5 0.15
+1 0 0 0 0 1 7 5 0.15
+1 0 0 0 0 1 8 5 0.15
+1 0 0 0 0 1 9 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/axial/cart3d_x.zl
new file mode 100644
index 000000000..07c4f329e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/cart3d_x.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 0.15
+0 0 0 0 0 1 1 1 0.15
+0 0 0 0 0 1 1 2 0.15
+0 0 0 0 0 1 1 3 0.15
+0 0 0 0 0 1 1 4 0.15
+0 0 0 0 0 1 1 5 0.15
+0 0 0 0 0 1 1 6 0.15
+0 0 0 0 0 1 1 7 0.15
+0 0 0 0 0 1 1 8 0.15
+0 0 0 0 0 1 1 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 0.15
+1 0 0 0 0 1 1 1 0.15
+1 0 0 0 0 1 1 2 0.15
+1 0 0 0 0 1 1 3 0.15
+1 0 0 0 0 1 1 4 0.15
+1 0 0 0 0 1 1 5 0.15
+1 0 0 0 0 1 1 6 0.15
+1 0 0 0 0 1 1 7 0.15
+1 0 0 0 0 1 1 8 0.15
+1 0 0 0 0 1 1 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/axial/cart3d_y.xl
new file mode 100644
index 000000000..e07fa99ab
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/cart3d_y.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 1 1 5 0.15
+0 0 0 0 0 2 1 5 0.15
+0 0 0 0 0 3 1 5 0.15
+0 0 0 0 0 4 1 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 6 1 5 0.15
+0 0 0 0 0 7 1 5 0.15
+0 0 0 0 0 8 1 5 0.15
+0 0 0 0 0 9 1 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 1 1 5 0.15
+1 0 0 0 0 2 1 5 0.15
+1 0 0 0 0 3 1 5 0.15
+1 0 0 0 0 4 1 5 0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 6 1 5 0.15
+1 0 0 0 0 7 1 5 0.15
+1 0 0 0 0 8 1 5 0.15
+1 0 0 0 0 9 1 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/axial/cart3d_y.yl
new file mode 100644
index 000000000..2fda6291e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/cart3d_y.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 -0.15
+0 0 0 0 0 1 1 5 0.15
+0 0 0 0 0 1 2 5 0.45
+0 0 0 0 0 1 3 5 0.75
+0 0 0 0 0 1 4 5 1.05
+0 0 0 0 0 1 5 5 1.35
+0 0 0 0 0 1 6 5 1.65
+0 0 0 0 0 1 7 5 1.95
+0 0 0 0 0 1 8 5 2.25
+0 0 0 0 0 1 9 5 2.55
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 -0.15
+1 0 0 0 0 1 1 5 0.15
+1 0 0 0 0 1 2 5 0.45
+1 0 0 0 0 1 3 5 0.75
+1 0 0 0 0 1 4 5 1.05
+1 0 0 0 0 1 5 5 1.35
+1 0 0 0 0 1 6 5 1.65
+1 0 0 0 0 1 7 5 1.95
+1 0 0 0 0 1 8 5 2.25
+1 0 0 0 0 1 9 5 2.55
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/axial/cart3d_y.zl
new file mode 100644
index 000000000..cb2230be9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/cart3d_y.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 0.15
+0 0 0 0 0 1 1 1 0.15
+0 0 0 0 0 1 1 2 0.15
+0 0 0 0 0 1 1 3 0.15
+0 0 0 0 0 1 1 4 0.15
+0 0 0 0 0 1 1 5 0.15
+0 0 0 0 0 1 1 6 0.15
+0 0 0 0 0 1 1 7 0.15
+0 0 0 0 0 1 1 8 0.15
+0 0 0 0 0 1 1 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 0.15
+1 0 0 0 0 1 1 1 0.15
+1 0 0 0 0 1 1 2 0.15
+1 0 0 0 0 1 1 3 0.15
+1 0 0 0 0 1 1 4 0.15
+1 0 0 0 0 1 1 5 0.15
+1 0 0 0 0 1 1 6 0.15
+1 0 0 0 0 1 1 7 0.15
+1 0 0 0 0 1 1 8 0.15
+1 0 0 0 0 1 1 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/axial/cart3d_z.xl
new file mode 100644
index 000000000..9718c560e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/cart3d_z.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 1 1 5 0.15
+0 0 0 0 0 2 1 5 0.15
+0 0 0 0 0 3 1 5 0.15
+0 0 0 0 0 4 1 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 6 1 5 0.15
+0 0 0 0 0 7 1 5 0.15
+0 0 0 0 0 8 1 5 0.15
+0 0 0 0 0 9 1 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 1 1 5 0.15
+1 0 0 0 0 2 1 5 0.15
+1 0 0 0 0 3 1 5 0.15
+1 0 0 0 0 4 1 5 0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 6 1 5 0.15
+1 0 0 0 0 7 1 5 0.15
+1 0 0 0 0 8 1 5 0.15
+1 0 0 0 0 9 1 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/axial/cart3d_z.yl
new file mode 100644
index 000000000..3c2f5d12b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/cart3d_z.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 0.15
+0 0 0 0 0 1 1 5 0.15
+0 0 0 0 0 1 2 5 0.15
+0 0 0 0 0 1 3 5 0.15
+0 0 0 0 0 1 4 5 0.15
+0 0 0 0 0 1 5 5 0.15
+0 0 0 0 0 1 6 5 0.15
+0 0 0 0 0 1 7 5 0.15
+0 0 0 0 0 1 8 5 0.15
+0 0 0 0 0 1 9 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 0.15
+1 0 0 0 0 1 1 5 0.15
+1 0 0 0 0 1 2 5 0.15
+1 0 0 0 0 1 3 5 0.15
+1 0 0 0 0 1 4 5 0.15
+1 0 0 0 0 1 5 5 0.15
+1 0 0 0 0 1 6 5 0.15
+1 0 0 0 0 1 7 5 0.15
+1 0 0 0 0 1 8 5 0.15
+1 0 0 0 0 1 9 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/axial/cart3d_z.zl
new file mode 100644
index 000000000..58a9153c2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/cart3d_z.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 -1.35
+0 0 0 0 0 1 1 1 -1.05
+0 0 0 0 0 1 1 2 -0.75
+0 0 0 0 0 1 1 3 -0.45
+0 0 0 0 0 1 1 4 -0.15
+0 0 0 0 0 1 1 5 0.15
+0 0 0 0 0 1 1 6 0.45
+0 0 0 0 0 1 1 7 0.75
+0 0 0 0 0 1 1 8 1.05
+0 0 0 0 0 1 1 9 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 -1.35
+1 0 0 0 0 1 1 1 -1.05
+1 0 0 0 0 1 1 2 -0.75
+1 0 0 0 0 1 1 3 -0.45
+1 0 0 0 0 1 1 4 -0.15
+1 0 0 0 0 1 1 5 0.15
+1 0 0 0 0 1 1 6 0.45
+1 0 0 0 0 1 1 7 0.75
+1 0 0 0 0 1 1 8 1.05
+1 0 0 0 0 1 1 9 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fxx.xl b/CarpetAttic/Cart3dTest/test/axial/fxx.xl
new file mode 100644
index 000000000..bcc48f9a8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fxx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx x (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 41000105
+0 0 0 0 0 1 1 5 41010105
+0 0 0 0 0 2 1 5 41020105
+0 0 0 0 0 3 1 5 41030105
+0 0 0 0 0 4 1 5 41040105
+0 0 0 0 0 5 1 5 41050105
+0 0 0 0 0 6 1 5 41060105
+0 0 0 0 0 7 1 5 41070105
+0 0 0 0 0 8 1 5 41080105
+0 0 0 0 0 9 1 5 41090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 45010105
+1 0 0 0 0 1 1 5 41010105
+1 0 0 0 0 2 1 5 41020105
+1 0 0 0 0 3 1 5 41030105
+1 0 0 0 0 4 1 5 41040105
+1 0 0 0 0 5 1 5 41050105
+1 0 0 0 0 6 1 5 41060105
+1 0 0 0 0 7 1 5 41070105
+1 0 0 0 0 8 1 5 41080105
+1 0 0 0 0 9 1 5 41090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fxx.yl b/CarpetAttic/Cart3dTest/test/axial/fxx.yl
new file mode 100644
index 000000000..3d882b6f4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fxx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx y (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 41010005
+0 0 0 0 0 1 1 5 41010105
+0 0 0 0 0 1 2 5 41010205
+0 0 0 0 0 1 3 5 41010305
+0 0 0 0 0 1 4 5 41010405
+0 0 0 0 0 1 5 5 41010505
+0 0 0 0 0 1 6 5 41010605
+0 0 0 0 0 1 7 5 41010705
+0 0 0 0 0 1 8 5 41010805
+0 0 0 0 0 1 9 5 41010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 45010105
+1 0 0 0 0 1 1 5 41010105
+1 0 0 0 0 1 2 5 41010205
+1 0 0 0 0 1 3 5 41010305
+1 0 0 0 0 1 4 5 41010405
+1 0 0 0 0 1 5 5 41010505
+1 0 0 0 0 1 6 5 41010605
+1 0 0 0 0 1 7 5 41010705
+1 0 0 0 0 1 8 5 41010805
+1 0 0 0 0 1 9 5 41010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fxx.zl b/CarpetAttic/Cart3dTest/test/axial/fxx.zl
new file mode 100644
index 000000000..949f19951
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fxx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx z (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 41010100
+0 0 0 0 0 1 1 1 41010101
+0 0 0 0 0 1 1 2 41010102
+0 0 0 0 0 1 1 3 41010103
+0 0 0 0 0 1 1 4 41010104
+0 0 0 0 0 1 1 5 41010105
+0 0 0 0 0 1 1 6 41010106
+0 0 0 0 0 1 1 7 41010107
+0 0 0 0 0 1 1 8 41010108
+0 0 0 0 0 1 1 9 41010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 41010100
+1 0 0 0 0 1 1 1 41010101
+1 0 0 0 0 1 1 2 41010102
+1 0 0 0 0 1 1 3 41010103
+1 0 0 0 0 1 1 4 41010104
+1 0 0 0 0 1 1 5 41010105
+1 0 0 0 0 1 1 6 41010106
+1 0 0 0 0 1 1 7 41010107
+1 0 0 0 0 1 1 8 41010108
+1 0 0 0 0 1 1 9 41010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fxy.xl b/CarpetAttic/Cart3dTest/test/axial/fxy.xl
new file mode 100644
index 000000000..cd98efca1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fxy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy x (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 42000105
+0 0 0 0 0 1 1 5 42010105
+0 0 0 0 0 2 1 5 42020105
+0 0 0 0 0 3 1 5 42030105
+0 0 0 0 0 4 1 5 42040105
+0 0 0 0 0 5 1 5 42050105
+0 0 0 0 0 6 1 5 42060105
+0 0 0 0 0 7 1 5 42070105
+0 0 0 0 0 8 1 5 42080105
+0 0 0 0 0 9 1 5 42090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 -44010105
+1 0 0 0 0 1 1 5 42010105
+1 0 0 0 0 2 1 5 42020105
+1 0 0 0 0 3 1 5 42030105
+1 0 0 0 0 4 1 5 42040105
+1 0 0 0 0 5 1 5 42050105
+1 0 0 0 0 6 1 5 42060105
+1 0 0 0 0 7 1 5 42070105
+1 0 0 0 0 8 1 5 42080105
+1 0 0 0 0 9 1 5 42090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fxy.yl b/CarpetAttic/Cart3dTest/test/axial/fxy.yl
new file mode 100644
index 000000000..41782ef25
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fxy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy y (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 42010005
+0 0 0 0 0 1 1 5 42010105
+0 0 0 0 0 1 2 5 42010205
+0 0 0 0 0 1 3 5 42010305
+0 0 0 0 0 1 4 5 42010405
+0 0 0 0 0 1 5 5 42010505
+0 0 0 0 0 1 6 5 42010605
+0 0 0 0 0 1 7 5 42010705
+0 0 0 0 0 1 8 5 42010805
+0 0 0 0 0 1 9 5 42010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 -44010105
+1 0 0 0 0 1 1 5 42010105
+1 0 0 0 0 1 2 5 42010205
+1 0 0 0 0 1 3 5 42010305
+1 0 0 0 0 1 4 5 42010405
+1 0 0 0 0 1 5 5 42010505
+1 0 0 0 0 1 6 5 42010605
+1 0 0 0 0 1 7 5 42010705
+1 0 0 0 0 1 8 5 42010805
+1 0 0 0 0 1 9 5 42010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fxy.zl b/CarpetAttic/Cart3dTest/test/axial/fxy.zl
new file mode 100644
index 000000000..3d7460b4b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fxy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy z (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 42010100
+0 0 0 0 0 1 1 1 42010101
+0 0 0 0 0 1 1 2 42010102
+0 0 0 0 0 1 1 3 42010103
+0 0 0 0 0 1 1 4 42010104
+0 0 0 0 0 1 1 5 42010105
+0 0 0 0 0 1 1 6 42010106
+0 0 0 0 0 1 1 7 42010107
+0 0 0 0 0 1 1 8 42010108
+0 0 0 0 0 1 1 9 42010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 42010100
+1 0 0 0 0 1 1 1 42010101
+1 0 0 0 0 1 1 2 42010102
+1 0 0 0 0 1 1 3 42010103
+1 0 0 0 0 1 1 4 42010104
+1 0 0 0 0 1 1 5 42010105
+1 0 0 0 0 1 1 6 42010106
+1 0 0 0 0 1 1 7 42010107
+1 0 0 0 0 1 1 8 42010108
+1 0 0 0 0 1 1 9 42010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fxz.xl b/CarpetAttic/Cart3dTest/test/axial/fxz.xl
new file mode 100644
index 000000000..b0adf78ed
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fxz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz x (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 43000105
+0 0 0 0 0 1 1 5 43010105
+0 0 0 0 0 2 1 5 43020105
+0 0 0 0 0 3 1 5 43030105
+0 0 0 0 0 4 1 5 43040105
+0 0 0 0 0 5 1 5 43050105
+0 0 0 0 0 6 1 5 43060105
+0 0 0 0 0 7 1 5 43070105
+0 0 0 0 0 8 1 5 43080105
+0 0 0 0 0 9 1 5 43090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 -46010105
+1 0 0 0 0 1 1 5 43010105
+1 0 0 0 0 2 1 5 43020105
+1 0 0 0 0 3 1 5 43030105
+1 0 0 0 0 4 1 5 43040105
+1 0 0 0 0 5 1 5 43050105
+1 0 0 0 0 6 1 5 43060105
+1 0 0 0 0 7 1 5 43070105
+1 0 0 0 0 8 1 5 43080105
+1 0 0 0 0 9 1 5 43090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fxz.yl b/CarpetAttic/Cart3dTest/test/axial/fxz.yl
new file mode 100644
index 000000000..39dd69e69
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fxz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz y (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 43010005
+0 0 0 0 0 1 1 5 43010105
+0 0 0 0 0 1 2 5 43010205
+0 0 0 0 0 1 3 5 43010305
+0 0 0 0 0 1 4 5 43010405
+0 0 0 0 0 1 5 5 43010505
+0 0 0 0 0 1 6 5 43010605
+0 0 0 0 0 1 7 5 43010705
+0 0 0 0 0 1 8 5 43010805
+0 0 0 0 0 1 9 5 43010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 46010105
+1 0 0 0 0 1 1 5 43010105
+1 0 0 0 0 1 2 5 43010205
+1 0 0 0 0 1 3 5 43010305
+1 0 0 0 0 1 4 5 43010405
+1 0 0 0 0 1 5 5 43010505
+1 0 0 0 0 1 6 5 43010605
+1 0 0 0 0 1 7 5 43010705
+1 0 0 0 0 1 8 5 43010805
+1 0 0 0 0 1 9 5 43010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fxz.zl b/CarpetAttic/Cart3dTest/test/axial/fxz.zl
new file mode 100644
index 000000000..737ebb3c7
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fxz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz z (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 43010100
+0 0 0 0 0 1 1 1 43010101
+0 0 0 0 0 1 1 2 43010102
+0 0 0 0 0 1 1 3 43010103
+0 0 0 0 0 1 1 4 43010104
+0 0 0 0 0 1 1 5 43010105
+0 0 0 0 0 1 1 6 43010106
+0 0 0 0 0 1 1 7 43010107
+0 0 0 0 0 1 1 8 43010108
+0 0 0 0 0 1 1 9 43010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 43010100
+1 0 0 0 0 1 1 1 43010101
+1 0 0 0 0 1 1 2 43010102
+1 0 0 0 0 1 1 3 43010103
+1 0 0 0 0 1 1 4 43010104
+1 0 0 0 0 1 1 5 43010105
+1 0 0 0 0 1 1 6 43010106
+1 0 0 0 0 1 1 7 43010107
+1 0 0 0 0 1 1 8 43010108
+1 0 0 0 0 1 1 9 43010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fyx.xl b/CarpetAttic/Cart3dTest/test/axial/fyx.xl
new file mode 100644
index 000000000..a0119eed8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fyx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx x (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 44000105
+0 0 0 0 0 1 1 5 44010105
+0 0 0 0 0 2 1 5 44020105
+0 0 0 0 0 3 1 5 44030105
+0 0 0 0 0 4 1 5 44040105
+0 0 0 0 0 5 1 5 44050105
+0 0 0 0 0 6 1 5 44060105
+0 0 0 0 0 7 1 5 44070105
+0 0 0 0 0 8 1 5 44080105
+0 0 0 0 0 9 1 5 44090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 -42010105
+1 0 0 0 0 1 1 5 44010105
+1 0 0 0 0 2 1 5 44020105
+1 0 0 0 0 3 1 5 44030105
+1 0 0 0 0 4 1 5 44040105
+1 0 0 0 0 5 1 5 44050105
+1 0 0 0 0 6 1 5 44060105
+1 0 0 0 0 7 1 5 44070105
+1 0 0 0 0 8 1 5 44080105
+1 0 0 0 0 9 1 5 44090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fyx.yl b/CarpetAttic/Cart3dTest/test/axial/fyx.yl
new file mode 100644
index 000000000..6e88a9f25
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fyx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx y (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 44010005
+0 0 0 0 0 1 1 5 44010105
+0 0 0 0 0 1 2 5 44010205
+0 0 0 0 0 1 3 5 44010305
+0 0 0 0 0 1 4 5 44010405
+0 0 0 0 0 1 5 5 44010505
+0 0 0 0 0 1 6 5 44010605
+0 0 0 0 0 1 7 5 44010705
+0 0 0 0 0 1 8 5 44010805
+0 0 0 0 0 1 9 5 44010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 -42010105
+1 0 0 0 0 1 1 5 44010105
+1 0 0 0 0 1 2 5 44010205
+1 0 0 0 0 1 3 5 44010305
+1 0 0 0 0 1 4 5 44010405
+1 0 0 0 0 1 5 5 44010505
+1 0 0 0 0 1 6 5 44010605
+1 0 0 0 0 1 7 5 44010705
+1 0 0 0 0 1 8 5 44010805
+1 0 0 0 0 1 9 5 44010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fyx.zl b/CarpetAttic/Cart3dTest/test/axial/fyx.zl
new file mode 100644
index 000000000..aac384030
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fyx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx z (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 44010100
+0 0 0 0 0 1 1 1 44010101
+0 0 0 0 0 1 1 2 44010102
+0 0 0 0 0 1 1 3 44010103
+0 0 0 0 0 1 1 4 44010104
+0 0 0 0 0 1 1 5 44010105
+0 0 0 0 0 1 1 6 44010106
+0 0 0 0 0 1 1 7 44010107
+0 0 0 0 0 1 1 8 44010108
+0 0 0 0 0 1 1 9 44010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 44010100
+1 0 0 0 0 1 1 1 44010101
+1 0 0 0 0 1 1 2 44010102
+1 0 0 0 0 1 1 3 44010103
+1 0 0 0 0 1 1 4 44010104
+1 0 0 0 0 1 1 5 44010105
+1 0 0 0 0 1 1 6 44010106
+1 0 0 0 0 1 1 7 44010107
+1 0 0 0 0 1 1 8 44010108
+1 0 0 0 0 1 1 9 44010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fyy.xl b/CarpetAttic/Cart3dTest/test/axial/fyy.xl
new file mode 100644
index 000000000..dc7e89b52
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy x (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 45000105
+0 0 0 0 0 1 1 5 45010105
+0 0 0 0 0 2 1 5 45020105
+0 0 0 0 0 3 1 5 45030105
+0 0 0 0 0 4 1 5 45040105
+0 0 0 0 0 5 1 5 45050105
+0 0 0 0 0 6 1 5 45060105
+0 0 0 0 0 7 1 5 45070105
+0 0 0 0 0 8 1 5 45080105
+0 0 0 0 0 9 1 5 45090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 41010105
+1 0 0 0 0 1 1 5 45010105
+1 0 0 0 0 2 1 5 45020105
+1 0 0 0 0 3 1 5 45030105
+1 0 0 0 0 4 1 5 45040105
+1 0 0 0 0 5 1 5 45050105
+1 0 0 0 0 6 1 5 45060105
+1 0 0 0 0 7 1 5 45070105
+1 0 0 0 0 8 1 5 45080105
+1 0 0 0 0 9 1 5 45090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fyy.yl b/CarpetAttic/Cart3dTest/test/axial/fyy.yl
new file mode 100644
index 000000000..37f4b855e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy y (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 45010005
+0 0 0 0 0 1 1 5 45010105
+0 0 0 0 0 1 2 5 45010205
+0 0 0 0 0 1 3 5 45010305
+0 0 0 0 0 1 4 5 45010405
+0 0 0 0 0 1 5 5 45010505
+0 0 0 0 0 1 6 5 45010605
+0 0 0 0 0 1 7 5 45010705
+0 0 0 0 0 1 8 5 45010805
+0 0 0 0 0 1 9 5 45010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 41010105
+1 0 0 0 0 1 1 5 45010105
+1 0 0 0 0 1 2 5 45010205
+1 0 0 0 0 1 3 5 45010305
+1 0 0 0 0 1 4 5 45010405
+1 0 0 0 0 1 5 5 45010505
+1 0 0 0 0 1 6 5 45010605
+1 0 0 0 0 1 7 5 45010705
+1 0 0 0 0 1 8 5 45010805
+1 0 0 0 0 1 9 5 45010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fyy.zl b/CarpetAttic/Cart3dTest/test/axial/fyy.zl
new file mode 100644
index 000000000..e0f198dc3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy z (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 45010100
+0 0 0 0 0 1 1 1 45010101
+0 0 0 0 0 1 1 2 45010102
+0 0 0 0 0 1 1 3 45010103
+0 0 0 0 0 1 1 4 45010104
+0 0 0 0 0 1 1 5 45010105
+0 0 0 0 0 1 1 6 45010106
+0 0 0 0 0 1 1 7 45010107
+0 0 0 0 0 1 1 8 45010108
+0 0 0 0 0 1 1 9 45010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 45010100
+1 0 0 0 0 1 1 1 45010101
+1 0 0 0 0 1 1 2 45010102
+1 0 0 0 0 1 1 3 45010103
+1 0 0 0 0 1 1 4 45010104
+1 0 0 0 0 1 1 5 45010105
+1 0 0 0 0 1 1 6 45010106
+1 0 0 0 0 1 1 7 45010107
+1 0 0 0 0 1 1 8 45010108
+1 0 0 0 0 1 1 9 45010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fyz.xl b/CarpetAttic/Cart3dTest/test/axial/fyz.xl
new file mode 100644
index 000000000..a1bad1e9d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz x (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 46000105
+0 0 0 0 0 1 1 5 46010105
+0 0 0 0 0 2 1 5 46020105
+0 0 0 0 0 3 1 5 46030105
+0 0 0 0 0 4 1 5 46040105
+0 0 0 0 0 5 1 5 46050105
+0 0 0 0 0 6 1 5 46060105
+0 0 0 0 0 7 1 5 46070105
+0 0 0 0 0 8 1 5 46080105
+0 0 0 0 0 9 1 5 46090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 43010105
+1 0 0 0 0 1 1 5 46010105
+1 0 0 0 0 2 1 5 46020105
+1 0 0 0 0 3 1 5 46030105
+1 0 0 0 0 4 1 5 46040105
+1 0 0 0 0 5 1 5 46050105
+1 0 0 0 0 6 1 5 46060105
+1 0 0 0 0 7 1 5 46070105
+1 0 0 0 0 8 1 5 46080105
+1 0 0 0 0 9 1 5 46090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fyz.yl b/CarpetAttic/Cart3dTest/test/axial/fyz.yl
new file mode 100644
index 000000000..9fbf16adf
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz y (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 46010005
+0 0 0 0 0 1 1 5 46010105
+0 0 0 0 0 1 2 5 46010205
+0 0 0 0 0 1 3 5 46010305
+0 0 0 0 0 1 4 5 46010405
+0 0 0 0 0 1 5 5 46010505
+0 0 0 0 0 1 6 5 46010605
+0 0 0 0 0 1 7 5 46010705
+0 0 0 0 0 1 8 5 46010805
+0 0 0 0 0 1 9 5 46010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 -43010105
+1 0 0 0 0 1 1 5 46010105
+1 0 0 0 0 1 2 5 46010205
+1 0 0 0 0 1 3 5 46010305
+1 0 0 0 0 1 4 5 46010405
+1 0 0 0 0 1 5 5 46010505
+1 0 0 0 0 1 6 5 46010605
+1 0 0 0 0 1 7 5 46010705
+1 0 0 0 0 1 8 5 46010805
+1 0 0 0 0 1 9 5 46010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fyz.zl b/CarpetAttic/Cart3dTest/test/axial/fyz.zl
new file mode 100644
index 000000000..8278a5c90
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz z (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 46010100
+0 0 0 0 0 1 1 1 46010101
+0 0 0 0 0 1 1 2 46010102
+0 0 0 0 0 1 1 3 46010103
+0 0 0 0 0 1 1 4 46010104
+0 0 0 0 0 1 1 5 46010105
+0 0 0 0 0 1 1 6 46010106
+0 0 0 0 0 1 1 7 46010107
+0 0 0 0 0 1 1 8 46010108
+0 0 0 0 0 1 1 9 46010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 46010100
+1 0 0 0 0 1 1 1 46010101
+1 0 0 0 0 1 1 2 46010102
+1 0 0 0 0 1 1 3 46010103
+1 0 0 0 0 1 1 4 46010104
+1 0 0 0 0 1 1 5 46010105
+1 0 0 0 0 1 1 6 46010106
+1 0 0 0 0 1 1 7 46010107
+1 0 0 0 0 1 1 8 46010108
+1 0 0 0 0 1 1 9 46010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fzx.xl b/CarpetAttic/Cart3dTest/test/axial/fzx.xl
new file mode 100644
index 000000000..83c842bbf
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fzx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx x (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 47000105
+0 0 0 0 0 1 1 5 47010105
+0 0 0 0 0 2 1 5 47020105
+0 0 0 0 0 3 1 5 47030105
+0 0 0 0 0 4 1 5 47040105
+0 0 0 0 0 5 1 5 47050105
+0 0 0 0 0 6 1 5 47060105
+0 0 0 0 0 7 1 5 47070105
+0 0 0 0 0 8 1 5 47080105
+0 0 0 0 0 9 1 5 47090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 -48010105
+1 0 0 0 0 1 1 5 47010105
+1 0 0 0 0 2 1 5 47020105
+1 0 0 0 0 3 1 5 47030105
+1 0 0 0 0 4 1 5 47040105
+1 0 0 0 0 5 1 5 47050105
+1 0 0 0 0 6 1 5 47060105
+1 0 0 0 0 7 1 5 47070105
+1 0 0 0 0 8 1 5 47080105
+1 0 0 0 0 9 1 5 47090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fzx.yl b/CarpetAttic/Cart3dTest/test/axial/fzx.yl
new file mode 100644
index 000000000..b20bbcd21
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fzx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx y (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 47010005
+0 0 0 0 0 1 1 5 47010105
+0 0 0 0 0 1 2 5 47010205
+0 0 0 0 0 1 3 5 47010305
+0 0 0 0 0 1 4 5 47010405
+0 0 0 0 0 1 5 5 47010505
+0 0 0 0 0 1 6 5 47010605
+0 0 0 0 0 1 7 5 47010705
+0 0 0 0 0 1 8 5 47010805
+0 0 0 0 0 1 9 5 47010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 48010105
+1 0 0 0 0 1 1 5 47010105
+1 0 0 0 0 1 2 5 47010205
+1 0 0 0 0 1 3 5 47010305
+1 0 0 0 0 1 4 5 47010405
+1 0 0 0 0 1 5 5 47010505
+1 0 0 0 0 1 6 5 47010605
+1 0 0 0 0 1 7 5 47010705
+1 0 0 0 0 1 8 5 47010805
+1 0 0 0 0 1 9 5 47010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fzx.zl b/CarpetAttic/Cart3dTest/test/axial/fzx.zl
new file mode 100644
index 000000000..754e781d3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fzx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx z (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 47010100
+0 0 0 0 0 1 1 1 47010101
+0 0 0 0 0 1 1 2 47010102
+0 0 0 0 0 1 1 3 47010103
+0 0 0 0 0 1 1 4 47010104
+0 0 0 0 0 1 1 5 47010105
+0 0 0 0 0 1 1 6 47010106
+0 0 0 0 0 1 1 7 47010107
+0 0 0 0 0 1 1 8 47010108
+0 0 0 0 0 1 1 9 47010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 47010100
+1 0 0 0 0 1 1 1 47010101
+1 0 0 0 0 1 1 2 47010102
+1 0 0 0 0 1 1 3 47010103
+1 0 0 0 0 1 1 4 47010104
+1 0 0 0 0 1 1 5 47010105
+1 0 0 0 0 1 1 6 47010106
+1 0 0 0 0 1 1 7 47010107
+1 0 0 0 0 1 1 8 47010108
+1 0 0 0 0 1 1 9 47010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fzy.xl b/CarpetAttic/Cart3dTest/test/axial/fzy.xl
new file mode 100644
index 000000000..d35a45ec5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fzy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy x (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 48000105
+0 0 0 0 0 1 1 5 48010105
+0 0 0 0 0 2 1 5 48020105
+0 0 0 0 0 3 1 5 48030105
+0 0 0 0 0 4 1 5 48040105
+0 0 0 0 0 5 1 5 48050105
+0 0 0 0 0 6 1 5 48060105
+0 0 0 0 0 7 1 5 48070105
+0 0 0 0 0 8 1 5 48080105
+0 0 0 0 0 9 1 5 48090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 47010105
+1 0 0 0 0 1 1 5 48010105
+1 0 0 0 0 2 1 5 48020105
+1 0 0 0 0 3 1 5 48030105
+1 0 0 0 0 4 1 5 48040105
+1 0 0 0 0 5 1 5 48050105
+1 0 0 0 0 6 1 5 48060105
+1 0 0 0 0 7 1 5 48070105
+1 0 0 0 0 8 1 5 48080105
+1 0 0 0 0 9 1 5 48090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fzy.yl b/CarpetAttic/Cart3dTest/test/axial/fzy.yl
new file mode 100644
index 000000000..882a7e3da
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fzy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy y (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 48010005
+0 0 0 0 0 1 1 5 48010105
+0 0 0 0 0 1 2 5 48010205
+0 0 0 0 0 1 3 5 48010305
+0 0 0 0 0 1 4 5 48010405
+0 0 0 0 0 1 5 5 48010505
+0 0 0 0 0 1 6 5 48010605
+0 0 0 0 0 1 7 5 48010705
+0 0 0 0 0 1 8 5 48010805
+0 0 0 0 0 1 9 5 48010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 -47010105
+1 0 0 0 0 1 1 5 48010105
+1 0 0 0 0 1 2 5 48010205
+1 0 0 0 0 1 3 5 48010305
+1 0 0 0 0 1 4 5 48010405
+1 0 0 0 0 1 5 5 48010505
+1 0 0 0 0 1 6 5 48010605
+1 0 0 0 0 1 7 5 48010705
+1 0 0 0 0 1 8 5 48010805
+1 0 0 0 0 1 9 5 48010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fzy.zl b/CarpetAttic/Cart3dTest/test/axial/fzy.zl
new file mode 100644
index 000000000..797b88129
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fzy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy z (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 48010100
+0 0 0 0 0 1 1 1 48010101
+0 0 0 0 0 1 1 2 48010102
+0 0 0 0 0 1 1 3 48010103
+0 0 0 0 0 1 1 4 48010104
+0 0 0 0 0 1 1 5 48010105
+0 0 0 0 0 1 1 6 48010106
+0 0 0 0 0 1 1 7 48010107
+0 0 0 0 0 1 1 8 48010108
+0 0 0 0 0 1 1 9 48010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 48010100
+1 0 0 0 0 1 1 1 48010101
+1 0 0 0 0 1 1 2 48010102
+1 0 0 0 0 1 1 3 48010103
+1 0 0 0 0 1 1 4 48010104
+1 0 0 0 0 1 1 5 48010105
+1 0 0 0 0 1 1 6 48010106
+1 0 0 0 0 1 1 7 48010107
+1 0 0 0 0 1 1 8 48010108
+1 0 0 0 0 1 1 9 48010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fzz.xl b/CarpetAttic/Cart3dTest/test/axial/fzz.xl
new file mode 100644
index 000000000..2bee1adf5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz x (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 49000105
+0 0 0 0 0 1 1 5 49010105
+0 0 0 0 0 2 1 5 49020105
+0 0 0 0 0 3 1 5 49030105
+0 0 0 0 0 4 1 5 49040105
+0 0 0 0 0 5 1 5 49050105
+0 0 0 0 0 6 1 5 49060105
+0 0 0 0 0 7 1 5 49070105
+0 0 0 0 0 8 1 5 49080105
+0 0 0 0 0 9 1 5 49090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 49010105
+1 0 0 0 0 1 1 5 49010105
+1 0 0 0 0 2 1 5 49020105
+1 0 0 0 0 3 1 5 49030105
+1 0 0 0 0 4 1 5 49040105
+1 0 0 0 0 5 1 5 49050105
+1 0 0 0 0 6 1 5 49060105
+1 0 0 0 0 7 1 5 49070105
+1 0 0 0 0 8 1 5 49080105
+1 0 0 0 0 9 1 5 49090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fzz.yl b/CarpetAttic/Cart3dTest/test/axial/fzz.yl
new file mode 100644
index 000000000..64e1f44d3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz y (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 49010005
+0 0 0 0 0 1 1 5 49010105
+0 0 0 0 0 1 2 5 49010205
+0 0 0 0 0 1 3 5 49010305
+0 0 0 0 0 1 4 5 49010405
+0 0 0 0 0 1 5 5 49010505
+0 0 0 0 0 1 6 5 49010605
+0 0 0 0 0 1 7 5 49010705
+0 0 0 0 0 1 8 5 49010805
+0 0 0 0 0 1 9 5 49010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 49010105
+1 0 0 0 0 1 1 5 49010105
+1 0 0 0 0 1 2 5 49010205
+1 0 0 0 0 1 3 5 49010305
+1 0 0 0 0 1 4 5 49010405
+1 0 0 0 0 1 5 5 49010505
+1 0 0 0 0 1 6 5 49010605
+1 0 0 0 0 1 7 5 49010705
+1 0 0 0 0 1 8 5 49010805
+1 0 0 0 0 1 9 5 49010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/fzz.zl b/CarpetAttic/Cart3dTest/test/axial/fzz.zl
new file mode 100644
index 000000000..7938772ff
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/fzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz z (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 49010100
+0 0 0 0 0 1 1 1 49010101
+0 0 0 0 0 1 1 2 49010102
+0 0 0 0 0 1 1 3 49010103
+0 0 0 0 0 1 1 4 49010104
+0 0 0 0 0 1 1 5 49010105
+0 0 0 0 0 1 1 6 49010106
+0 0 0 0 0 1 1 7 49010107
+0 0 0 0 0 1 1 8 49010108
+0 0 0 0 0 1 1 9 49010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 49010100
+1 0 0 0 0 1 1 1 49010101
+1 0 0 0 0 1 1 2 49010102
+1 0 0 0 0 1 1 3 49010103
+1 0 0 0 0 1 1 4 49010104
+1 0 0 0 0 1 1 5 49010105
+1 0 0 0 0 1 1 6 49010106
+1 0 0 0 0 1 1 7 49010107
+1 0 0 0 0 1 1 8 49010108
+1 0 0 0 0 1 1 9 49010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/s.xl b/CarpetAttic/Cart3dTest/test/axial/s.xl
new file mode 100644
index 000000000..6f44c81d5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/s.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::s x (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 1000105
+0 0 0 0 0 1 1 5 1010105
+0 0 0 0 0 2 1 5 1020105
+0 0 0 0 0 3 1 5 1030105
+0 0 0 0 0 4 1 5 1040105
+0 0 0 0 0 5 1 5 1050105
+0 0 0 0 0 6 1 5 1060105
+0 0 0 0 0 7 1 5 1070105
+0 0 0 0 0 8 1 5 1080105
+0 0 0 0 0 9 1 5 1090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 1010105
+1 0 0 0 0 1 1 5 1010105
+1 0 0 0 0 2 1 5 1020105
+1 0 0 0 0 3 1 5 1030105
+1 0 0 0 0 4 1 5 1040105
+1 0 0 0 0 5 1 5 1050105
+1 0 0 0 0 6 1 5 1060105
+1 0 0 0 0 7 1 5 1070105
+1 0 0 0 0 8 1 5 1080105
+1 0 0 0 0 9 1 5 1090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/s.yl b/CarpetAttic/Cart3dTest/test/axial/s.yl
new file mode 100644
index 000000000..56b5a8a68
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/s.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::s y (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 1010005
+0 0 0 0 0 1 1 5 1010105
+0 0 0 0 0 1 2 5 1010205
+0 0 0 0 0 1 3 5 1010305
+0 0 0 0 0 1 4 5 1010405
+0 0 0 0 0 1 5 5 1010505
+0 0 0 0 0 1 6 5 1010605
+0 0 0 0 0 1 7 5 1010705
+0 0 0 0 0 1 8 5 1010805
+0 0 0 0 0 1 9 5 1010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 1010105
+1 0 0 0 0 1 1 5 1010105
+1 0 0 0 0 1 2 5 1010205
+1 0 0 0 0 1 3 5 1010305
+1 0 0 0 0 1 4 5 1010405
+1 0 0 0 0 1 5 5 1010505
+1 0 0 0 0 1 6 5 1010605
+1 0 0 0 0 1 7 5 1010705
+1 0 0 0 0 1 8 5 1010805
+1 0 0 0 0 1 9 5 1010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/s.zl b/CarpetAttic/Cart3dTest/test/axial/s.zl
new file mode 100644
index 000000000..ecff867a9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/s.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::s z (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 1010100
+0 0 0 0 0 1 1 1 1010101
+0 0 0 0 0 1 1 2 1010102
+0 0 0 0 0 1 1 3 1010103
+0 0 0 0 0 1 1 4 1010104
+0 0 0 0 0 1 1 5 1010105
+0 0 0 0 0 1 1 6 1010106
+0 0 0 0 0 1 1 7 1010107
+0 0 0 0 0 1 1 8 1010108
+0 0 0 0 0 1 1 9 1010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 1010100
+1 0 0 0 0 1 1 1 1010101
+1 0 0 0 0 1 1 2 1010102
+1 0 0 0 0 1 1 3 1010103
+1 0 0 0 0 1 1 4 1010104
+1 0 0 0 0 1 1 5 1010105
+1 0 0 0 0 1 1 6 1010106
+1 0 0 0 0 1 1 7 1010107
+1 0 0 0 0 1 1 8 1010108
+1 0 0 0 0 1 1 9 1010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/axial/spher3d_r.xl
new file mode 100644
index 000000000..06617f607
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/spher3d_r.xl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 0.259807621135332
+0 0 0 0 0 1 1 5 0.259807621135332
+0 0 0 0 0 2 1 5 0.49749371855331
+0 0 0 0 0 3 1 5 0.779422863405995
+0 0 0 0 0 4 1 5 1.07121426428143
+0 0 0 0 0 5 1 5 1.36656503687164
+0 0 0 0 0 6 1 5 1.66358047596141
+0 0 0 0 0 7 1 5 1.9615045245933
+0 0 0 0 0 8 1 5 2.2599778759979
+0 0 0 0 0 9 1 5 2.5588083163848
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 0.259807621135332
+1 0 0 0 0 1 1 5 0.259807621135332
+1 0 0 0 0 2 1 5 0.49749371855331
+1 0 0 0 0 3 1 5 0.779422863405995
+1 0 0 0 0 4 1 5 1.07121426428143
+1 0 0 0 0 5 1 5 1.36656503687164
+1 0 0 0 0 6 1 5 1.66358047596141
+1 0 0 0 0 7 1 5 1.9615045245933
+1 0 0 0 0 8 1 5 2.2599778759979
+1 0 0 0 0 9 1 5 2.5588083163848
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/axial/spher3d_r.yl
new file mode 100644
index 000000000..1330e241c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/spher3d_r.yl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 0.259807621135332
+0 0 0 0 0 1 1 5 0.259807621135332
+0 0 0 0 0 1 2 5 0.49749371855331
+0 0 0 0 0 1 3 5 0.779422863405995
+0 0 0 0 0 1 4 5 1.07121426428143
+0 0 0 0 0 1 5 5 1.36656503687164
+0 0 0 0 0 1 6 5 1.66358047596141
+0 0 0 0 0 1 7 5 1.9615045245933
+0 0 0 0 0 1 8 5 2.2599778759979
+0 0 0 0 0 1 9 5 2.5588083163848
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 0.259807621135332
+1 0 0 0 0 1 1 5 0.259807621135332
+1 0 0 0 0 1 2 5 0.49749371855331
+1 0 0 0 0 1 3 5 0.779422863405995
+1 0 0 0 0 1 4 5 1.07121426428143
+1 0 0 0 0 1 5 5 1.36656503687164
+1 0 0 0 0 1 6 5 1.66358047596141
+1 0 0 0 0 1 7 5 1.9615045245933
+1 0 0 0 0 1 8 5 2.2599778759979
+1 0 0 0 0 1 9 5 2.5588083163848
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/axial/spher3d_r.zl
new file mode 100644
index 000000000..3d57bddf6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/spher3d_r.zl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 1.36656503687164
+0 0 0 0 0 1 1 1 1.07121426428143
+0 0 0 0 0 1 1 2 0.779422863405995
+0 0 0 0 0 1 1 3 0.49749371855331
+0 0 0 0 0 1 1 4 0.259807621135332
+0 0 0 0 0 1 1 5 0.259807621135332
+0 0 0 0 0 1 1 6 0.49749371855331
+0 0 0 0 0 1 1 7 0.779422863405995
+0 0 0 0 0 1 1 8 1.07121426428143
+0 0 0 0 0 1 1 9 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 1.36656503687164
+1 0 0 0 0 1 1 1 1.07121426428143
+1 0 0 0 0 1 1 2 0.779422863405995
+1 0 0 0 0 1 1 3 0.49749371855331
+1 0 0 0 0 1 1 4 0.259807621135332
+1 0 0 0 0 1 1 5 0.259807621135332
+1 0 0 0 0 1 1 6 0.49749371855331
+1 0 0 0 0 1 1 7 0.779422863405995
+1 0 0 0 0 1 1 8 1.07121426428143
+1 0 0 0 0 1 1 9 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/txx.xl b/CarpetAttic/Cart3dTest/test/axial/txx.xl
new file mode 100644
index 000000000..5e0ce86aa
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/txx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx x (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 21000105
+0 0 0 0 0 1 1 5 21010105
+0 0 0 0 0 2 1 5 21020105
+0 0 0 0 0 3 1 5 21030105
+0 0 0 0 0 4 1 5 21040105
+0 0 0 0 0 5 1 5 21050105
+0 0 0 0 0 6 1 5 21060105
+0 0 0 0 0 7 1 5 21070105
+0 0 0 0 0 8 1 5 21080105
+0 0 0 0 0 9 1 5 21090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 24010105
+1 0 0 0 0 1 1 5 21010105
+1 0 0 0 0 2 1 5 21020105
+1 0 0 0 0 3 1 5 21030105
+1 0 0 0 0 4 1 5 21040105
+1 0 0 0 0 5 1 5 21050105
+1 0 0 0 0 6 1 5 21060105
+1 0 0 0 0 7 1 5 21070105
+1 0 0 0 0 8 1 5 21080105
+1 0 0 0 0 9 1 5 21090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/txx.yl b/CarpetAttic/Cart3dTest/test/axial/txx.yl
new file mode 100644
index 000000000..eaf0d1c4b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/txx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx y (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 21010005
+0 0 0 0 0 1 1 5 21010105
+0 0 0 0 0 1 2 5 21010205
+0 0 0 0 0 1 3 5 21010305
+0 0 0 0 0 1 4 5 21010405
+0 0 0 0 0 1 5 5 21010505
+0 0 0 0 0 1 6 5 21010605
+0 0 0 0 0 1 7 5 21010705
+0 0 0 0 0 1 8 5 21010805
+0 0 0 0 0 1 9 5 21010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 24010105
+1 0 0 0 0 1 1 5 21010105
+1 0 0 0 0 1 2 5 21010205
+1 0 0 0 0 1 3 5 21010305
+1 0 0 0 0 1 4 5 21010405
+1 0 0 0 0 1 5 5 21010505
+1 0 0 0 0 1 6 5 21010605
+1 0 0 0 0 1 7 5 21010705
+1 0 0 0 0 1 8 5 21010805
+1 0 0 0 0 1 9 5 21010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/txx.zl b/CarpetAttic/Cart3dTest/test/axial/txx.zl
new file mode 100644
index 000000000..8b232a5d2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/txx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx z (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 21010100
+0 0 0 0 0 1 1 1 21010101
+0 0 0 0 0 1 1 2 21010102
+0 0 0 0 0 1 1 3 21010103
+0 0 0 0 0 1 1 4 21010104
+0 0 0 0 0 1 1 5 21010105
+0 0 0 0 0 1 1 6 21010106
+0 0 0 0 0 1 1 7 21010107
+0 0 0 0 0 1 1 8 21010108
+0 0 0 0 0 1 1 9 21010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 21010100
+1 0 0 0 0 1 1 1 21010101
+1 0 0 0 0 1 1 2 21010102
+1 0 0 0 0 1 1 3 21010103
+1 0 0 0 0 1 1 4 21010104
+1 0 0 0 0 1 1 5 21010105
+1 0 0 0 0 1 1 6 21010106
+1 0 0 0 0 1 1 7 21010107
+1 0 0 0 0 1 1 8 21010108
+1 0 0 0 0 1 1 9 21010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/txy.xl b/CarpetAttic/Cart3dTest/test/axial/txy.xl
new file mode 100644
index 000000000..d5ab6c669
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/txy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy x (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 22000105
+0 0 0 0 0 1 1 5 22010105
+0 0 0 0 0 2 1 5 22020105
+0 0 0 0 0 3 1 5 22030105
+0 0 0 0 0 4 1 5 22040105
+0 0 0 0 0 5 1 5 22050105
+0 0 0 0 0 6 1 5 22060105
+0 0 0 0 0 7 1 5 22070105
+0 0 0 0 0 8 1 5 22080105
+0 0 0 0 0 9 1 5 22090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 -22010105
+1 0 0 0 0 1 1 5 22010105
+1 0 0 0 0 2 1 5 22020105
+1 0 0 0 0 3 1 5 22030105
+1 0 0 0 0 4 1 5 22040105
+1 0 0 0 0 5 1 5 22050105
+1 0 0 0 0 6 1 5 22060105
+1 0 0 0 0 7 1 5 22070105
+1 0 0 0 0 8 1 5 22080105
+1 0 0 0 0 9 1 5 22090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/txy.yl b/CarpetAttic/Cart3dTest/test/axial/txy.yl
new file mode 100644
index 000000000..39c046f5b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/txy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy y (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 22010005
+0 0 0 0 0 1 1 5 22010105
+0 0 0 0 0 1 2 5 22010205
+0 0 0 0 0 1 3 5 22010305
+0 0 0 0 0 1 4 5 22010405
+0 0 0 0 0 1 5 5 22010505
+0 0 0 0 0 1 6 5 22010605
+0 0 0 0 0 1 7 5 22010705
+0 0 0 0 0 1 8 5 22010805
+0 0 0 0 0 1 9 5 22010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 -22010105
+1 0 0 0 0 1 1 5 22010105
+1 0 0 0 0 1 2 5 22010205
+1 0 0 0 0 1 3 5 22010305
+1 0 0 0 0 1 4 5 22010405
+1 0 0 0 0 1 5 5 22010505
+1 0 0 0 0 1 6 5 22010605
+1 0 0 0 0 1 7 5 22010705
+1 0 0 0 0 1 8 5 22010805
+1 0 0 0 0 1 9 5 22010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/txy.zl b/CarpetAttic/Cart3dTest/test/axial/txy.zl
new file mode 100644
index 000000000..088dc0f42
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/txy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy z (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 22010100
+0 0 0 0 0 1 1 1 22010101
+0 0 0 0 0 1 1 2 22010102
+0 0 0 0 0 1 1 3 22010103
+0 0 0 0 0 1 1 4 22010104
+0 0 0 0 0 1 1 5 22010105
+0 0 0 0 0 1 1 6 22010106
+0 0 0 0 0 1 1 7 22010107
+0 0 0 0 0 1 1 8 22010108
+0 0 0 0 0 1 1 9 22010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 22010100
+1 0 0 0 0 1 1 1 22010101
+1 0 0 0 0 1 1 2 22010102
+1 0 0 0 0 1 1 3 22010103
+1 0 0 0 0 1 1 4 22010104
+1 0 0 0 0 1 1 5 22010105
+1 0 0 0 0 1 1 6 22010106
+1 0 0 0 0 1 1 7 22010107
+1 0 0 0 0 1 1 8 22010108
+1 0 0 0 0 1 1 9 22010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/txz.xl b/CarpetAttic/Cart3dTest/test/axial/txz.xl
new file mode 100644
index 000000000..b169805c8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/txz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz x (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 23000105
+0 0 0 0 0 1 1 5 23010105
+0 0 0 0 0 2 1 5 23020105
+0 0 0 0 0 3 1 5 23030105
+0 0 0 0 0 4 1 5 23040105
+0 0 0 0 0 5 1 5 23050105
+0 0 0 0 0 6 1 5 23060105
+0 0 0 0 0 7 1 5 23070105
+0 0 0 0 0 8 1 5 23080105
+0 0 0 0 0 9 1 5 23090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 -25010105
+1 0 0 0 0 1 1 5 23010105
+1 0 0 0 0 2 1 5 23020105
+1 0 0 0 0 3 1 5 23030105
+1 0 0 0 0 4 1 5 23040105
+1 0 0 0 0 5 1 5 23050105
+1 0 0 0 0 6 1 5 23060105
+1 0 0 0 0 7 1 5 23070105
+1 0 0 0 0 8 1 5 23080105
+1 0 0 0 0 9 1 5 23090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/txz.yl b/CarpetAttic/Cart3dTest/test/axial/txz.yl
new file mode 100644
index 000000000..4ca41bca3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/txz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz y (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 23010005
+0 0 0 0 0 1 1 5 23010105
+0 0 0 0 0 1 2 5 23010205
+0 0 0 0 0 1 3 5 23010305
+0 0 0 0 0 1 4 5 23010405
+0 0 0 0 0 1 5 5 23010505
+0 0 0 0 0 1 6 5 23010605
+0 0 0 0 0 1 7 5 23010705
+0 0 0 0 0 1 8 5 23010805
+0 0 0 0 0 1 9 5 23010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 25010105
+1 0 0 0 0 1 1 5 23010105
+1 0 0 0 0 1 2 5 23010205
+1 0 0 0 0 1 3 5 23010305
+1 0 0 0 0 1 4 5 23010405
+1 0 0 0 0 1 5 5 23010505
+1 0 0 0 0 1 6 5 23010605
+1 0 0 0 0 1 7 5 23010705
+1 0 0 0 0 1 8 5 23010805
+1 0 0 0 0 1 9 5 23010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/txz.zl b/CarpetAttic/Cart3dTest/test/axial/txz.zl
new file mode 100644
index 000000000..31c60f77e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/txz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz z (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 23010100
+0 0 0 0 0 1 1 1 23010101
+0 0 0 0 0 1 1 2 23010102
+0 0 0 0 0 1 1 3 23010103
+0 0 0 0 0 1 1 4 23010104
+0 0 0 0 0 1 1 5 23010105
+0 0 0 0 0 1 1 6 23010106
+0 0 0 0 0 1 1 7 23010107
+0 0 0 0 0 1 1 8 23010108
+0 0 0 0 0 1 1 9 23010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 23010100
+1 0 0 0 0 1 1 1 23010101
+1 0 0 0 0 1 1 2 23010102
+1 0 0 0 0 1 1 3 23010103
+1 0 0 0 0 1 1 4 23010104
+1 0 0 0 0 1 1 5 23010105
+1 0 0 0 0 1 1 6 23010106
+1 0 0 0 0 1 1 7 23010107
+1 0 0 0 0 1 1 8 23010108
+1 0 0 0 0 1 1 9 23010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/tyy.xl b/CarpetAttic/Cart3dTest/test/axial/tyy.xl
new file mode 100644
index 000000000..5a4004448
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/tyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy x (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 24000105
+0 0 0 0 0 1 1 5 24010105
+0 0 0 0 0 2 1 5 24020105
+0 0 0 0 0 3 1 5 24030105
+0 0 0 0 0 4 1 5 24040105
+0 0 0 0 0 5 1 5 24050105
+0 0 0 0 0 6 1 5 24060105
+0 0 0 0 0 7 1 5 24070105
+0 0 0 0 0 8 1 5 24080105
+0 0 0 0 0 9 1 5 24090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 21010105
+1 0 0 0 0 1 1 5 24010105
+1 0 0 0 0 2 1 5 24020105
+1 0 0 0 0 3 1 5 24030105
+1 0 0 0 0 4 1 5 24040105
+1 0 0 0 0 5 1 5 24050105
+1 0 0 0 0 6 1 5 24060105
+1 0 0 0 0 7 1 5 24070105
+1 0 0 0 0 8 1 5 24080105
+1 0 0 0 0 9 1 5 24090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/tyy.yl b/CarpetAttic/Cart3dTest/test/axial/tyy.yl
new file mode 100644
index 000000000..342b2e2e2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/tyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy y (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 24010005
+0 0 0 0 0 1 1 5 24010105
+0 0 0 0 0 1 2 5 24010205
+0 0 0 0 0 1 3 5 24010305
+0 0 0 0 0 1 4 5 24010405
+0 0 0 0 0 1 5 5 24010505
+0 0 0 0 0 1 6 5 24010605
+0 0 0 0 0 1 7 5 24010705
+0 0 0 0 0 1 8 5 24010805
+0 0 0 0 0 1 9 5 24010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 21010105
+1 0 0 0 0 1 1 5 24010105
+1 0 0 0 0 1 2 5 24010205
+1 0 0 0 0 1 3 5 24010305
+1 0 0 0 0 1 4 5 24010405
+1 0 0 0 0 1 5 5 24010505
+1 0 0 0 0 1 6 5 24010605
+1 0 0 0 0 1 7 5 24010705
+1 0 0 0 0 1 8 5 24010805
+1 0 0 0 0 1 9 5 24010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/tyy.zl b/CarpetAttic/Cart3dTest/test/axial/tyy.zl
new file mode 100644
index 000000000..99058da70
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/tyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy z (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 24010100
+0 0 0 0 0 1 1 1 24010101
+0 0 0 0 0 1 1 2 24010102
+0 0 0 0 0 1 1 3 24010103
+0 0 0 0 0 1 1 4 24010104
+0 0 0 0 0 1 1 5 24010105
+0 0 0 0 0 1 1 6 24010106
+0 0 0 0 0 1 1 7 24010107
+0 0 0 0 0 1 1 8 24010108
+0 0 0 0 0 1 1 9 24010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 24010100
+1 0 0 0 0 1 1 1 24010101
+1 0 0 0 0 1 1 2 24010102
+1 0 0 0 0 1 1 3 24010103
+1 0 0 0 0 1 1 4 24010104
+1 0 0 0 0 1 1 5 24010105
+1 0 0 0 0 1 1 6 24010106
+1 0 0 0 0 1 1 7 24010107
+1 0 0 0 0 1 1 8 24010108
+1 0 0 0 0 1 1 9 24010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/tyz.xl b/CarpetAttic/Cart3dTest/test/axial/tyz.xl
new file mode 100644
index 000000000..3e161221f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/tyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz x (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 25000105
+0 0 0 0 0 1 1 5 25010105
+0 0 0 0 0 2 1 5 25020105
+0 0 0 0 0 3 1 5 25030105
+0 0 0 0 0 4 1 5 25040105
+0 0 0 0 0 5 1 5 25050105
+0 0 0 0 0 6 1 5 25060105
+0 0 0 0 0 7 1 5 25070105
+0 0 0 0 0 8 1 5 25080105
+0 0 0 0 0 9 1 5 25090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 23010105
+1 0 0 0 0 1 1 5 25010105
+1 0 0 0 0 2 1 5 25020105
+1 0 0 0 0 3 1 5 25030105
+1 0 0 0 0 4 1 5 25040105
+1 0 0 0 0 5 1 5 25050105
+1 0 0 0 0 6 1 5 25060105
+1 0 0 0 0 7 1 5 25070105
+1 0 0 0 0 8 1 5 25080105
+1 0 0 0 0 9 1 5 25090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/tyz.yl b/CarpetAttic/Cart3dTest/test/axial/tyz.yl
new file mode 100644
index 000000000..9aac76422
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/tyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz y (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 25010005
+0 0 0 0 0 1 1 5 25010105
+0 0 0 0 0 1 2 5 25010205
+0 0 0 0 0 1 3 5 25010305
+0 0 0 0 0 1 4 5 25010405
+0 0 0 0 0 1 5 5 25010505
+0 0 0 0 0 1 6 5 25010605
+0 0 0 0 0 1 7 5 25010705
+0 0 0 0 0 1 8 5 25010805
+0 0 0 0 0 1 9 5 25010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 -23010105
+1 0 0 0 0 1 1 5 25010105
+1 0 0 0 0 1 2 5 25010205
+1 0 0 0 0 1 3 5 25010305
+1 0 0 0 0 1 4 5 25010405
+1 0 0 0 0 1 5 5 25010505
+1 0 0 0 0 1 6 5 25010605
+1 0 0 0 0 1 7 5 25010705
+1 0 0 0 0 1 8 5 25010805
+1 0 0 0 0 1 9 5 25010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/tyz.zl b/CarpetAttic/Cart3dTest/test/axial/tyz.zl
new file mode 100644
index 000000000..e68a368f9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/tyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz z (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 25010100
+0 0 0 0 0 1 1 1 25010101
+0 0 0 0 0 1 1 2 25010102
+0 0 0 0 0 1 1 3 25010103
+0 0 0 0 0 1 1 4 25010104
+0 0 0 0 0 1 1 5 25010105
+0 0 0 0 0 1 1 6 25010106
+0 0 0 0 0 1 1 7 25010107
+0 0 0 0 0 1 1 8 25010108
+0 0 0 0 0 1 1 9 25010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 25010100
+1 0 0 0 0 1 1 1 25010101
+1 0 0 0 0 1 1 2 25010102
+1 0 0 0 0 1 1 3 25010103
+1 0 0 0 0 1 1 4 25010104
+1 0 0 0 0 1 1 5 25010105
+1 0 0 0 0 1 1 6 25010106
+1 0 0 0 0 1 1 7 25010107
+1 0 0 0 0 1 1 8 25010108
+1 0 0 0 0 1 1 9 25010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/tzz.xl b/CarpetAttic/Cart3dTest/test/axial/tzz.xl
new file mode 100644
index 000000000..2a6c37dc0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/tzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz x (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 26000105
+0 0 0 0 0 1 1 5 26010105
+0 0 0 0 0 2 1 5 26020105
+0 0 0 0 0 3 1 5 26030105
+0 0 0 0 0 4 1 5 26040105
+0 0 0 0 0 5 1 5 26050105
+0 0 0 0 0 6 1 5 26060105
+0 0 0 0 0 7 1 5 26070105
+0 0 0 0 0 8 1 5 26080105
+0 0 0 0 0 9 1 5 26090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 26010105
+1 0 0 0 0 1 1 5 26010105
+1 0 0 0 0 2 1 5 26020105
+1 0 0 0 0 3 1 5 26030105
+1 0 0 0 0 4 1 5 26040105
+1 0 0 0 0 5 1 5 26050105
+1 0 0 0 0 6 1 5 26060105
+1 0 0 0 0 7 1 5 26070105
+1 0 0 0 0 8 1 5 26080105
+1 0 0 0 0 9 1 5 26090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/tzz.yl b/CarpetAttic/Cart3dTest/test/axial/tzz.yl
new file mode 100644
index 000000000..31a81b3ca
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/tzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz y (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 26010005
+0 0 0 0 0 1 1 5 26010105
+0 0 0 0 0 1 2 5 26010205
+0 0 0 0 0 1 3 5 26010305
+0 0 0 0 0 1 4 5 26010405
+0 0 0 0 0 1 5 5 26010505
+0 0 0 0 0 1 6 5 26010605
+0 0 0 0 0 1 7 5 26010705
+0 0 0 0 0 1 8 5 26010805
+0 0 0 0 0 1 9 5 26010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 26010105
+1 0 0 0 0 1 1 5 26010105
+1 0 0 0 0 1 2 5 26010205
+1 0 0 0 0 1 3 5 26010305
+1 0 0 0 0 1 4 5 26010405
+1 0 0 0 0 1 5 5 26010505
+1 0 0 0 0 1 6 5 26010605
+1 0 0 0 0 1 7 5 26010705
+1 0 0 0 0 1 8 5 26010805
+1 0 0 0 0 1 9 5 26010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/tzz.zl b/CarpetAttic/Cart3dTest/test/axial/tzz.zl
new file mode 100644
index 000000000..b57e0686c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/tzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz z (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 26010100
+0 0 0 0 0 1 1 1 26010101
+0 0 0 0 0 1 1 2 26010102
+0 0 0 0 0 1 1 3 26010103
+0 0 0 0 0 1 1 4 26010104
+0 0 0 0 0 1 1 5 26010105
+0 0 0 0 0 1 1 6 26010106
+0 0 0 0 0 1 1 7 26010107
+0 0 0 0 0 1 1 8 26010108
+0 0 0 0 0 1 1 9 26010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 26010100
+1 0 0 0 0 1 1 1 26010101
+1 0 0 0 0 1 1 2 26010102
+1 0 0 0 0 1 1 3 26010103
+1 0 0 0 0 1 1 4 26010104
+1 0 0 0 0 1 1 5 26010105
+1 0 0 0 0 1 1 6 26010106
+1 0 0 0 0 1 1 7 26010107
+1 0 0 0 0 1 1 8 26010108
+1 0 0 0 0 1 1 9 26010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/vx.xl b/CarpetAttic/Cart3dTest/test/axial/vx.xl
new file mode 100644
index 000000000..1d1f5ee9c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/vx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 11000105
+0 0 0 0 0 1 1 5 11010105
+0 0 0 0 0 2 1 5 11020105
+0 0 0 0 0 3 1 5 11030105
+0 0 0 0 0 4 1 5 11040105
+0 0 0 0 0 5 1 5 11050105
+0 0 0 0 0 6 1 5 11060105
+0 0 0 0 0 7 1 5 11070105
+0 0 0 0 0 8 1 5 11080105
+0 0 0 0 0 9 1 5 11090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 -12010105
+1 0 0 0 0 1 1 5 11010105
+1 0 0 0 0 2 1 5 11020105
+1 0 0 0 0 3 1 5 11030105
+1 0 0 0 0 4 1 5 11040105
+1 0 0 0 0 5 1 5 11050105
+1 0 0 0 0 6 1 5 11060105
+1 0 0 0 0 7 1 5 11070105
+1 0 0 0 0 8 1 5 11080105
+1 0 0 0 0 9 1 5 11090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/vx.yl b/CarpetAttic/Cart3dTest/test/axial/vx.yl
new file mode 100644
index 000000000..a22ccb9bf
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/vx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 11010005
+0 0 0 0 0 1 1 5 11010105
+0 0 0 0 0 1 2 5 11010205
+0 0 0 0 0 1 3 5 11010305
+0 0 0 0 0 1 4 5 11010405
+0 0 0 0 0 1 5 5 11010505
+0 0 0 0 0 1 6 5 11010605
+0 0 0 0 0 1 7 5 11010705
+0 0 0 0 0 1 8 5 11010805
+0 0 0 0 0 1 9 5 11010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 12010105
+1 0 0 0 0 1 1 5 11010105
+1 0 0 0 0 1 2 5 11010205
+1 0 0 0 0 1 3 5 11010305
+1 0 0 0 0 1 4 5 11010405
+1 0 0 0 0 1 5 5 11010505
+1 0 0 0 0 1 6 5 11010605
+1 0 0 0 0 1 7 5 11010705
+1 0 0 0 0 1 8 5 11010805
+1 0 0 0 0 1 9 5 11010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/vx.zl b/CarpetAttic/Cart3dTest/test/axial/vx.zl
new file mode 100644
index 000000000..71aa1c4ad
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/vx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 11010100
+0 0 0 0 0 1 1 1 11010101
+0 0 0 0 0 1 1 2 11010102
+0 0 0 0 0 1 1 3 11010103
+0 0 0 0 0 1 1 4 11010104
+0 0 0 0 0 1 1 5 11010105
+0 0 0 0 0 1 1 6 11010106
+0 0 0 0 0 1 1 7 11010107
+0 0 0 0 0 1 1 8 11010108
+0 0 0 0 0 1 1 9 11010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 11010100
+1 0 0 0 0 1 1 1 11010101
+1 0 0 0 0 1 1 2 11010102
+1 0 0 0 0 1 1 3 11010103
+1 0 0 0 0 1 1 4 11010104
+1 0 0 0 0 1 1 5 11010105
+1 0 0 0 0 1 1 6 11010106
+1 0 0 0 0 1 1 7 11010107
+1 0 0 0 0 1 1 8 11010108
+1 0 0 0 0 1 1 9 11010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/vy.xl b/CarpetAttic/Cart3dTest/test/axial/vy.xl
new file mode 100644
index 000000000..0bb3592ee
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/vy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 12000105
+0 0 0 0 0 1 1 5 12010105
+0 0 0 0 0 2 1 5 12020105
+0 0 0 0 0 3 1 5 12030105
+0 0 0 0 0 4 1 5 12040105
+0 0 0 0 0 5 1 5 12050105
+0 0 0 0 0 6 1 5 12060105
+0 0 0 0 0 7 1 5 12070105
+0 0 0 0 0 8 1 5 12080105
+0 0 0 0 0 9 1 5 12090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 11010105
+1 0 0 0 0 1 1 5 12010105
+1 0 0 0 0 2 1 5 12020105
+1 0 0 0 0 3 1 5 12030105
+1 0 0 0 0 4 1 5 12040105
+1 0 0 0 0 5 1 5 12050105
+1 0 0 0 0 6 1 5 12060105
+1 0 0 0 0 7 1 5 12070105
+1 0 0 0 0 8 1 5 12080105
+1 0 0 0 0 9 1 5 12090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/vy.yl b/CarpetAttic/Cart3dTest/test/axial/vy.yl
new file mode 100644
index 000000000..071b9caf8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/vy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 12010005
+0 0 0 0 0 1 1 5 12010105
+0 0 0 0 0 1 2 5 12010205
+0 0 0 0 0 1 3 5 12010305
+0 0 0 0 0 1 4 5 12010405
+0 0 0 0 0 1 5 5 12010505
+0 0 0 0 0 1 6 5 12010605
+0 0 0 0 0 1 7 5 12010705
+0 0 0 0 0 1 8 5 12010805
+0 0 0 0 0 1 9 5 12010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 -11010105
+1 0 0 0 0 1 1 5 12010105
+1 0 0 0 0 1 2 5 12010205
+1 0 0 0 0 1 3 5 12010305
+1 0 0 0 0 1 4 5 12010405
+1 0 0 0 0 1 5 5 12010505
+1 0 0 0 0 1 6 5 12010605
+1 0 0 0 0 1 7 5 12010705
+1 0 0 0 0 1 8 5 12010805
+1 0 0 0 0 1 9 5 12010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/vy.zl b/CarpetAttic/Cart3dTest/test/axial/vy.zl
new file mode 100644
index 000000000..7eb4d9f75
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/vy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 12010100
+0 0 0 0 0 1 1 1 12010101
+0 0 0 0 0 1 1 2 12010102
+0 0 0 0 0 1 1 3 12010103
+0 0 0 0 0 1 1 4 12010104
+0 0 0 0 0 1 1 5 12010105
+0 0 0 0 0 1 1 6 12010106
+0 0 0 0 0 1 1 7 12010107
+0 0 0 0 0 1 1 8 12010108
+0 0 0 0 0 1 1 9 12010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 12010100
+1 0 0 0 0 1 1 1 12010101
+1 0 0 0 0 1 1 2 12010102
+1 0 0 0 0 1 1 3 12010103
+1 0 0 0 0 1 1 4 12010104
+1 0 0 0 0 1 1 5 12010105
+1 0 0 0 0 1 1 6 12010106
+1 0 0 0 0 1 1 7 12010107
+1 0 0 0 0 1 1 8 12010108
+1 0 0 0 0 1 1 9 12010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/vz.xl b/CarpetAttic/Cart3dTest/test/axial/vz.xl
new file mode 100644
index 000000000..e8ea18918
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/vz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 13000105
+0 0 0 0 0 1 1 5 13010105
+0 0 0 0 0 2 1 5 13020105
+0 0 0 0 0 3 1 5 13030105
+0 0 0 0 0 4 1 5 13040105
+0 0 0 0 0 5 1 5 13050105
+0 0 0 0 0 6 1 5 13060105
+0 0 0 0 0 7 1 5 13070105
+0 0 0 0 0 8 1 5 13080105
+0 0 0 0 0 9 1 5 13090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 13010105
+1 0 0 0 0 1 1 5 13010105
+1 0 0 0 0 2 1 5 13020105
+1 0 0 0 0 3 1 5 13030105
+1 0 0 0 0 4 1 5 13040105
+1 0 0 0 0 5 1 5 13050105
+1 0 0 0 0 6 1 5 13060105
+1 0 0 0 0 7 1 5 13070105
+1 0 0 0 0 8 1 5 13080105
+1 0 0 0 0 9 1 5 13090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/vz.yl b/CarpetAttic/Cart3dTest/test/axial/vz.yl
new file mode 100644
index 000000000..95d96e5d4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/vz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 5 13010005
+0 0 0 0 0 1 1 5 13010105
+0 0 0 0 0 1 2 5 13010205
+0 0 0 0 0 1 3 5 13010305
+0 0 0 0 0 1 4 5 13010405
+0 0 0 0 0 1 5 5 13010505
+0 0 0 0 0 1 6 5 13010605
+0 0 0 0 0 1 7 5 13010705
+0 0 0 0 0 1 8 5 13010805
+0 0 0 0 0 1 9 5 13010905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 5 13010105
+1 0 0 0 0 1 1 5 13010105
+1 0 0 0 0 1 2 5 13010205
+1 0 0 0 0 1 3 5 13010305
+1 0 0 0 0 1 4 5 13010405
+1 0 0 0 0 1 5 5 13010505
+1 0 0 0 0 1 6 5 13010605
+1 0 0 0 0 1 7 5 13010705
+1 0 0 0 0 1 8 5 13010805
+1 0 0 0 0 1 9 5 13010905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/axial/vz.zl b/CarpetAttic/Cart3dTest/test/axial/vz.zl
new file mode 100644
index 000000000..ece3004cb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/axial/vz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 13010100
+0 0 0 0 0 1 1 1 13010101
+0 0 0 0 0 1 1 2 13010102
+0 0 0 0 0 1 1 3 13010103
+0 0 0 0 0 1 1 4 13010104
+0 0 0 0 0 1 1 5 13010105
+0 0 0 0 0 1 1 6 13010106
+0 0 0 0 0 1 1 7 13010107
+0 0 0 0 0 1 1 8 13010108
+0 0 0 0 0 1 1 9 13010109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 13010100
+1 0 0 0 0 1 1 1 13010101
+1 0 0 0 0 1 1 2 13010102
+1 0 0 0 0 1 1 3 13010103
+1 0 0 0 0 1 1 4 13010104
+1 0 0 0 0 1 1 5 13010105
+1 0 0 0 0 1 1 6 13010106
+1 0 0 0 0 1 1 7 13010107
+1 0 0 0 0 1 1 8 13010108
+1 0 0 0 0 1 1 9 13010109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/basic.log b/CarpetAttic/Cart3dTest/test/basic.log
new file mode 100644
index 000000000..5f79d9b44
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/basic.log
@@ -0,0 +1,81 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([1,1,1]:[8,8,8]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[0,9,9]:[1,1,1]),([1,0,0]:[8,0,9]:[1,1,1]),([9,0,0]:[9,9,9]:[1,1,1]),([1,1,0]:[8,8,0]:[1,1,1]),([1,9,0]:[8,9,9]:[1,1,1]),([1,1,9]:[8,8,9]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[0,9,9]:[1,1,1]),([1,0,0]:[8,0,9]:[1,1,1]),([9,0,0]:[9,9,9]:[1,1,1]),([1,1,0]:[8,8,0]:[1,1,1]),([1,9,0]:[8,9,9]:[1,1,1]),([1,1,9]:[8,8,9]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([1,1,1]:[8,8,8]:[1,1,1])
+boundaries={([0,0,0]:[0,9,9]:[1,1,1]),([1,0,0]:[8,0,9]:[1,1,1]),([9,0,0]:[9,9,9]:[1,1,1]),([1,1,0]:[8,8,0]:[1,1,1]),([1,9,0]:[8,9,9]:[1,1,1]),([1,1,9]:[8,8,9]:[1,1,1])}
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/basic.par b/CarpetAttic/Cart3dTest/test/basic.par
new file mode 100644
index 000000000..8911aa12e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/basic.par
@@ -0,0 +1,10 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/basic.par,v 1.5 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 0
+
+IO::out_dir = "basic"
+IOASCII::out1D_vars = "grid::coordinates"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/basic/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/basic/cart3d_x.xl
new file mode 100644
index 000000000..514360e24
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/basic/cart3d_x.xl
@@ -0,0 +1,18 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 -0.5
+0 0 0 0 0 1 5 5 -0.388888888888889
+0 0 0 0 0 2 5 5 -0.277777777777778
+0 0 0 0 0 3 5 5 -0.166666666666667
+0 0 0 0 0 4 5 5 -0.0555555555555556
+0 0 0 0 0 5 5 5 0.0555555555555555
+0 0 0 0 0 6 5 5 0.166666666666667
+0 0 0 0 0 7 5 5 0.277777777777778
+0 0 0 0 0 8 5 5 0.388888888888889
+0 0 0 0 0 9 5 5 0.5
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/basic/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/basic/cart3d_x.yl
new file mode 100644
index 000000000..9878432a6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/basic/cart3d_x.yl
@@ -0,0 +1,18 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.0555555555555555
+0 0 0 0 0 5 1 5 0.0555555555555555
+0 0 0 0 0 5 2 5 0.0555555555555555
+0 0 0 0 0 5 3 5 0.0555555555555555
+0 0 0 0 0 5 4 5 0.0555555555555555
+0 0 0 0 0 5 5 5 0.0555555555555555
+0 0 0 0 0 5 6 5 0.0555555555555555
+0 0 0 0 0 5 7 5 0.0555555555555555
+0 0 0 0 0 5 8 5 0.0555555555555555
+0 0 0 0 0 5 9 5 0.0555555555555555
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/basic/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/basic/cart3d_x.zl
new file mode 100644
index 000000000..a49ec16e5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/basic/cart3d_x.zl
@@ -0,0 +1,18 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.0555555555555555
+0 0 0 0 0 5 5 1 0.0555555555555555
+0 0 0 0 0 5 5 2 0.0555555555555555
+0 0 0 0 0 5 5 3 0.0555555555555555
+0 0 0 0 0 5 5 4 0.0555555555555555
+0 0 0 0 0 5 5 5 0.0555555555555555
+0 0 0 0 0 5 5 6 0.0555555555555555
+0 0 0 0 0 5 5 7 0.0555555555555555
+0 0 0 0 0 5 5 8 0.0555555555555555
+0 0 0 0 0 5 5 9 0.0555555555555555
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/basic/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/basic/cart3d_y.xl
new file mode 100644
index 000000000..305df91b9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/basic/cart3d_y.xl
@@ -0,0 +1,18 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.0555555555555555
+0 0 0 0 0 1 5 5 0.0555555555555555
+0 0 0 0 0 2 5 5 0.0555555555555555
+0 0 0 0 0 3 5 5 0.0555555555555555
+0 0 0 0 0 4 5 5 0.0555555555555555
+0 0 0 0 0 5 5 5 0.0555555555555555
+0 0 0 0 0 6 5 5 0.0555555555555555
+0 0 0 0 0 7 5 5 0.0555555555555555
+0 0 0 0 0 8 5 5 0.0555555555555555
+0 0 0 0 0 9 5 5 0.0555555555555555
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/basic/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/basic/cart3d_y.yl
new file mode 100644
index 000000000..e48707e3e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/basic/cart3d_y.yl
@@ -0,0 +1,18 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 -0.5
+0 0 0 0 0 5 1 5 -0.388888888888889
+0 0 0 0 0 5 2 5 -0.277777777777778
+0 0 0 0 0 5 3 5 -0.166666666666667
+0 0 0 0 0 5 4 5 -0.0555555555555556
+0 0 0 0 0 5 5 5 0.0555555555555555
+0 0 0 0 0 5 6 5 0.166666666666667
+0 0 0 0 0 5 7 5 0.277777777777778
+0 0 0 0 0 5 8 5 0.388888888888889
+0 0 0 0 0 5 9 5 0.5
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/basic/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/basic/cart3d_y.zl
new file mode 100644
index 000000000..87aa406c3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/basic/cart3d_y.zl
@@ -0,0 +1,18 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.0555555555555555
+0 0 0 0 0 5 5 1 0.0555555555555555
+0 0 0 0 0 5 5 2 0.0555555555555555
+0 0 0 0 0 5 5 3 0.0555555555555555
+0 0 0 0 0 5 5 4 0.0555555555555555
+0 0 0 0 0 5 5 5 0.0555555555555555
+0 0 0 0 0 5 5 6 0.0555555555555555
+0 0 0 0 0 5 5 7 0.0555555555555555
+0 0 0 0 0 5 5 8 0.0555555555555555
+0 0 0 0 0 5 5 9 0.0555555555555555
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/basic/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/basic/cart3d_z.xl
new file mode 100644
index 000000000..43f2286a4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/basic/cart3d_z.xl
@@ -0,0 +1,18 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.0555555555555555
+0 0 0 0 0 1 5 5 0.0555555555555555
+0 0 0 0 0 2 5 5 0.0555555555555555
+0 0 0 0 0 3 5 5 0.0555555555555555
+0 0 0 0 0 4 5 5 0.0555555555555555
+0 0 0 0 0 5 5 5 0.0555555555555555
+0 0 0 0 0 6 5 5 0.0555555555555555
+0 0 0 0 0 7 5 5 0.0555555555555555
+0 0 0 0 0 8 5 5 0.0555555555555555
+0 0 0 0 0 9 5 5 0.0555555555555555
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/basic/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/basic/cart3d_z.yl
new file mode 100644
index 000000000..98832f13a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/basic/cart3d_z.yl
@@ -0,0 +1,18 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.0555555555555555
+0 0 0 0 0 5 1 5 0.0555555555555555
+0 0 0 0 0 5 2 5 0.0555555555555555
+0 0 0 0 0 5 3 5 0.0555555555555555
+0 0 0 0 0 5 4 5 0.0555555555555555
+0 0 0 0 0 5 5 5 0.0555555555555555
+0 0 0 0 0 5 6 5 0.0555555555555555
+0 0 0 0 0 5 7 5 0.0555555555555555
+0 0 0 0 0 5 8 5 0.0555555555555555
+0 0 0 0 0 5 9 5 0.0555555555555555
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/basic/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/basic/cart3d_z.zl
new file mode 100644
index 000000000..d5eb90a96
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/basic/cart3d_z.zl
@@ -0,0 +1,18 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 -0.5
+0 0 0 0 0 5 5 1 -0.388888888888889
+0 0 0 0 0 5 5 2 -0.277777777777778
+0 0 0 0 0 5 5 3 -0.166666666666667
+0 0 0 0 0 5 5 4 -0.0555555555555556
+0 0 0 0 0 5 5 5 0.0555555555555555
+0 0 0 0 0 5 5 6 0.166666666666667
+0 0 0 0 0 5 5 7 0.277777777777778
+0 0 0 0 0 5 5 8 0.388888888888889
+0 0 0 0 0 5 5 9 0.5
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/basic/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/basic/spher3d_r.xl
new file mode 100644
index 000000000..deb988a58
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/basic/spher3d_r.xl
@@ -0,0 +1,18 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.50613519884135
+0 0 0 0 0 1 5 5 0.396746023807936
+0 0 0 0 0 2 5 5 0.288675134594813
+0 0 0 0 0 3 5 5 0.184256932797522
+0 0 0 0 0 4 5 5 0.0962250448649376
+0 0 0 0 0 5 5 5 0.0962250448649376
+0 0 0 0 0 6 5 5 0.184256932797522
+0 0 0 0 0 7 5 5 0.288675134594813
+0 0 0 0 0 8 5 5 0.396746023807936
+0 0 0 0 0 9 5 5 0.50613519884135
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/basic/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/basic/spher3d_r.yl
new file mode 100644
index 000000000..d6c525c9b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/basic/spher3d_r.yl
@@ -0,0 +1,18 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.50613519884135
+0 0 0 0 0 5 1 5 0.396746023807936
+0 0 0 0 0 5 2 5 0.288675134594813
+0 0 0 0 0 5 3 5 0.184256932797522
+0 0 0 0 0 5 4 5 0.0962250448649376
+0 0 0 0 0 5 5 5 0.0962250448649376
+0 0 0 0 0 5 6 5 0.184256932797522
+0 0 0 0 0 5 7 5 0.288675134594813
+0 0 0 0 0 5 8 5 0.396746023807936
+0 0 0 0 0 5 9 5 0.50613519884135
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/basic/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/basic/spher3d_r.zl
new file mode 100644
index 000000000..8f6440db6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/basic/spher3d_r.zl
@@ -0,0 +1,18 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.50613519884135
+0 0 0 0 0 5 5 1 0.396746023807936
+0 0 0 0 0 5 5 2 0.288675134594813
+0 0 0 0 0 5 5 3 0.184256932797522
+0 0 0 0 0 5 5 4 0.0962250448649376
+0 0 0 0 0 5 5 5 0.0962250448649376
+0 0 0 0 0 5 5 6 0.184256932797522
+0 0 0 0 0 5 5 7 0.288675134594813
+0 0 0 0 0 5 5 8 0.396746023807936
+0 0 0 0 0 5 5 9 0.50613519884135
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant.log b/CarpetAttic/Cart3dTest/test/bitant.log
new file mode 100644
index 000000000..8b02f3bdb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant.log
@@ -0,0 +1,81 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/bitant.par b/CarpetAttic/Cart3dTest/test/bitant.par
new file mode 100644
index 000000000..677c92c67
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant.par
@@ -0,0 +1,17 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/bitant.par,v 1.4 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 1
+
+grid::type = "byspacing"
+grid::mode = "bitant"
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "bitant"
+IOASCII::out1D_vars = "grid::coordinates Cart3dTest::quantities"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/bitant/ax.xl b/CarpetAttic/Cart3dTest/test/bitant/ax.xl
new file mode 100644
index 000000000..7e8e323fa
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/ax.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax x (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 31000502
+0 0 0 0 0 1 5 2 31010502
+0 0 0 0 0 2 5 2 31020502
+0 0 0 0 0 3 5 2 31030502
+0 0 0 0 0 4 5 2 31040502
+0 0 0 0 0 5 5 2 31050502
+0 0 0 0 0 6 5 2 31060502
+0 0 0 0 0 7 5 2 31070502
+0 0 0 0 0 8 5 2 31080502
+0 0 0 0 0 9 5 2 31090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 31000502
+1 0 0 0 0 1 5 2 31010502
+1 0 0 0 0 2 5 2 31020502
+1 0 0 0 0 3 5 2 31030502
+1 0 0 0 0 4 5 2 31040502
+1 0 0 0 0 5 5 2 31050502
+1 0 0 0 0 6 5 2 31060502
+1 0 0 0 0 7 5 2 31070502
+1 0 0 0 0 8 5 2 31080502
+1 0 0 0 0 9 5 2 31090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/ax.yl b/CarpetAttic/Cart3dTest/test/bitant/ax.yl
new file mode 100644
index 000000000..afff82d2d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/ax.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax y (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 31050002
+0 0 0 0 0 5 1 2 31050102
+0 0 0 0 0 5 2 2 31050202
+0 0 0 0 0 5 3 2 31050302
+0 0 0 0 0 5 4 2 31050402
+0 0 0 0 0 5 5 2 31050502
+0 0 0 0 0 5 6 2 31050602
+0 0 0 0 0 5 7 2 31050702
+0 0 0 0 0 5 8 2 31050802
+0 0 0 0 0 5 9 2 31050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 31050002
+1 0 0 0 0 5 1 2 31050102
+1 0 0 0 0 5 2 2 31050202
+1 0 0 0 0 5 3 2 31050302
+1 0 0 0 0 5 4 2 31050402
+1 0 0 0 0 5 5 2 31050502
+1 0 0 0 0 5 6 2 31050602
+1 0 0 0 0 5 7 2 31050702
+1 0 0 0 0 5 8 2 31050802
+1 0 0 0 0 5 9 2 31050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/ax.zl b/CarpetAttic/Cart3dTest/test/bitant/ax.zl
new file mode 100644
index 000000000..a07bdd678
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/ax.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax z (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 31050500
+0 0 0 0 0 5 5 1 31050501
+0 0 0 0 0 5 5 2 31050502
+0 0 0 0 0 5 5 3 31050503
+0 0 0 0 0 5 5 4 31050504
+0 0 0 0 0 5 5 5 31050505
+0 0 0 0 0 5 5 6 31050506
+0 0 0 0 0 5 5 7 31050507
+0 0 0 0 0 5 5 8 31050508
+0 0 0 0 0 5 5 9 31050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -31050503
+1 0 0 0 0 5 5 1 -31050502
+1 0 0 0 0 5 5 2 31050502
+1 0 0 0 0 5 5 3 31050503
+1 0 0 0 0 5 5 4 31050504
+1 0 0 0 0 5 5 5 31050505
+1 0 0 0 0 5 5 6 31050506
+1 0 0 0 0 5 5 7 31050507
+1 0 0 0 0 5 5 8 31050508
+1 0 0 0 0 5 5 9 31050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/ay.xl b/CarpetAttic/Cart3dTest/test/bitant/ay.xl
new file mode 100644
index 000000000..d5d30f098
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/ay.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay x (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 32000502
+0 0 0 0 0 1 5 2 32010502
+0 0 0 0 0 2 5 2 32020502
+0 0 0 0 0 3 5 2 32030502
+0 0 0 0 0 4 5 2 32040502
+0 0 0 0 0 5 5 2 32050502
+0 0 0 0 0 6 5 2 32060502
+0 0 0 0 0 7 5 2 32070502
+0 0 0 0 0 8 5 2 32080502
+0 0 0 0 0 9 5 2 32090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 32000502
+1 0 0 0 0 1 5 2 32010502
+1 0 0 0 0 2 5 2 32020502
+1 0 0 0 0 3 5 2 32030502
+1 0 0 0 0 4 5 2 32040502
+1 0 0 0 0 5 5 2 32050502
+1 0 0 0 0 6 5 2 32060502
+1 0 0 0 0 7 5 2 32070502
+1 0 0 0 0 8 5 2 32080502
+1 0 0 0 0 9 5 2 32090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/ay.yl b/CarpetAttic/Cart3dTest/test/bitant/ay.yl
new file mode 100644
index 000000000..b615a8d33
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/ay.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay y (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 32050002
+0 0 0 0 0 5 1 2 32050102
+0 0 0 0 0 5 2 2 32050202
+0 0 0 0 0 5 3 2 32050302
+0 0 0 0 0 5 4 2 32050402
+0 0 0 0 0 5 5 2 32050502
+0 0 0 0 0 5 6 2 32050602
+0 0 0 0 0 5 7 2 32050702
+0 0 0 0 0 5 8 2 32050802
+0 0 0 0 0 5 9 2 32050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 32050002
+1 0 0 0 0 5 1 2 32050102
+1 0 0 0 0 5 2 2 32050202
+1 0 0 0 0 5 3 2 32050302
+1 0 0 0 0 5 4 2 32050402
+1 0 0 0 0 5 5 2 32050502
+1 0 0 0 0 5 6 2 32050602
+1 0 0 0 0 5 7 2 32050702
+1 0 0 0 0 5 8 2 32050802
+1 0 0 0 0 5 9 2 32050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/ay.zl b/CarpetAttic/Cart3dTest/test/bitant/ay.zl
new file mode 100644
index 000000000..806872ae0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/ay.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay z (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 32050500
+0 0 0 0 0 5 5 1 32050501
+0 0 0 0 0 5 5 2 32050502
+0 0 0 0 0 5 5 3 32050503
+0 0 0 0 0 5 5 4 32050504
+0 0 0 0 0 5 5 5 32050505
+0 0 0 0 0 5 5 6 32050506
+0 0 0 0 0 5 5 7 32050507
+0 0 0 0 0 5 5 8 32050508
+0 0 0 0 0 5 5 9 32050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -32050503
+1 0 0 0 0 5 5 1 -32050502
+1 0 0 0 0 5 5 2 32050502
+1 0 0 0 0 5 5 3 32050503
+1 0 0 0 0 5 5 4 32050504
+1 0 0 0 0 5 5 5 32050505
+1 0 0 0 0 5 5 6 32050506
+1 0 0 0 0 5 5 7 32050507
+1 0 0 0 0 5 5 8 32050508
+1 0 0 0 0 5 5 9 32050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/az.xl b/CarpetAttic/Cart3dTest/test/bitant/az.xl
new file mode 100644
index 000000000..2801cce26
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/az.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::az x (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 33000502
+0 0 0 0 0 1 5 2 33010502
+0 0 0 0 0 2 5 2 33020502
+0 0 0 0 0 3 5 2 33030502
+0 0 0 0 0 4 5 2 33040502
+0 0 0 0 0 5 5 2 33050502
+0 0 0 0 0 6 5 2 33060502
+0 0 0 0 0 7 5 2 33070502
+0 0 0 0 0 8 5 2 33080502
+0 0 0 0 0 9 5 2 33090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 33000502
+1 0 0 0 0 1 5 2 33010502
+1 0 0 0 0 2 5 2 33020502
+1 0 0 0 0 3 5 2 33030502
+1 0 0 0 0 4 5 2 33040502
+1 0 0 0 0 5 5 2 33050502
+1 0 0 0 0 6 5 2 33060502
+1 0 0 0 0 7 5 2 33070502
+1 0 0 0 0 8 5 2 33080502
+1 0 0 0 0 9 5 2 33090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/az.yl b/CarpetAttic/Cart3dTest/test/bitant/az.yl
new file mode 100644
index 000000000..8a4a69164
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/az.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::az y (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 33050002
+0 0 0 0 0 5 1 2 33050102
+0 0 0 0 0 5 2 2 33050202
+0 0 0 0 0 5 3 2 33050302
+0 0 0 0 0 5 4 2 33050402
+0 0 0 0 0 5 5 2 33050502
+0 0 0 0 0 5 6 2 33050602
+0 0 0 0 0 5 7 2 33050702
+0 0 0 0 0 5 8 2 33050802
+0 0 0 0 0 5 9 2 33050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 33050002
+1 0 0 0 0 5 1 2 33050102
+1 0 0 0 0 5 2 2 33050202
+1 0 0 0 0 5 3 2 33050302
+1 0 0 0 0 5 4 2 33050402
+1 0 0 0 0 5 5 2 33050502
+1 0 0 0 0 5 6 2 33050602
+1 0 0 0 0 5 7 2 33050702
+1 0 0 0 0 5 8 2 33050802
+1 0 0 0 0 5 9 2 33050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/az.zl b/CarpetAttic/Cart3dTest/test/bitant/az.zl
new file mode 100644
index 000000000..cc4797e0a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/az.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::az z (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 33050500
+0 0 0 0 0 5 5 1 33050501
+0 0 0 0 0 5 5 2 33050502
+0 0 0 0 0 5 5 3 33050503
+0 0 0 0 0 5 5 4 33050504
+0 0 0 0 0 5 5 5 33050505
+0 0 0 0 0 5 5 6 33050506
+0 0 0 0 0 5 5 7 33050507
+0 0 0 0 0 5 5 8 33050508
+0 0 0 0 0 5 5 9 33050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 33050503
+1 0 0 0 0 5 5 1 33050502
+1 0 0 0 0 5 5 2 33050502
+1 0 0 0 0 5 5 3 33050503
+1 0 0 0 0 5 5 4 33050504
+1 0 0 0 0 5 5 5 33050505
+1 0 0 0 0 5 5 6 33050506
+1 0 0 0 0 5 5 7 33050507
+1 0 0 0 0 5 5 8 33050508
+1 0 0 0 0 5 5 9 33050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/bitant/cart3d_x.xl
new file mode 100644
index 000000000..af3d5317e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/cart3d_x.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 -1.35
+0 0 0 0 0 1 5 2 -1.05
+0 0 0 0 0 2 5 2 -0.75
+0 0 0 0 0 3 5 2 -0.45
+0 0 0 0 0 4 5 2 -0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 6 5 2 0.45
+0 0 0 0 0 7 5 2 0.75
+0 0 0 0 0 8 5 2 1.05
+0 0 0 0 0 9 5 2 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 -1.35
+1 0 0 0 0 1 5 2 -1.05
+1 0 0 0 0 2 5 2 -0.75
+1 0 0 0 0 3 5 2 -0.45
+1 0 0 0 0 4 5 2 -0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 6 5 2 0.45
+1 0 0 0 0 7 5 2 0.75
+1 0 0 0 0 8 5 2 1.05
+1 0 0 0 0 9 5 2 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/bitant/cart3d_x.yl
new file mode 100644
index 000000000..ffac552e2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/cart3d_x.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 5 2 2 0.15
+0 0 0 0 0 5 3 2 0.15
+0 0 0 0 0 5 4 2 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 6 2 0.15
+0 0 0 0 0 5 7 2 0.15
+0 0 0 0 0 5 8 2 0.15
+0 0 0 0 0 5 9 2 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 0.15
+1 0 0 0 0 5 1 2 0.15
+1 0 0 0 0 5 2 2 0.15
+1 0 0 0 0 5 3 2 0.15
+1 0 0 0 0 5 4 2 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 6 2 0.15
+1 0 0 0 0 5 7 2 0.15
+1 0 0 0 0 5 8 2 0.15
+1 0 0 0 0 5 9 2 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/bitant/cart3d_x.zl
new file mode 100644
index 000000000..1f894853b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/cart3d_x.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.15
+0 0 0 0 0 5 5 1 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 5 3 0.15
+0 0 0 0 0 5 5 4 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.15
+0 0 0 0 0 5 5 7 0.15
+0 0 0 0 0 5 5 8 0.15
+0 0 0 0 0 5 5 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 0.15
+1 0 0 0 0 5 5 1 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 5 3 0.15
+1 0 0 0 0 5 5 4 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 5 6 0.15
+1 0 0 0 0 5 5 7 0.15
+1 0 0 0 0 5 5 8 0.15
+1 0 0 0 0 5 5 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/bitant/cart3d_y.xl
new file mode 100644
index 000000000..025be7f91
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/cart3d_y.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 1 5 2 0.15
+0 0 0 0 0 2 5 2 0.15
+0 0 0 0 0 3 5 2 0.15
+0 0 0 0 0 4 5 2 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 6 5 2 0.15
+0 0 0 0 0 7 5 2 0.15
+0 0 0 0 0 8 5 2 0.15
+0 0 0 0 0 9 5 2 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 0.15
+1 0 0 0 0 1 5 2 0.15
+1 0 0 0 0 2 5 2 0.15
+1 0 0 0 0 3 5 2 0.15
+1 0 0 0 0 4 5 2 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 6 5 2 0.15
+1 0 0 0 0 7 5 2 0.15
+1 0 0 0 0 8 5 2 0.15
+1 0 0 0 0 9 5 2 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/bitant/cart3d_y.yl
new file mode 100644
index 000000000..34e77908f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/cart3d_y.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 -1.35
+0 0 0 0 0 5 1 2 -1.05
+0 0 0 0 0 5 2 2 -0.75
+0 0 0 0 0 5 3 2 -0.45
+0 0 0 0 0 5 4 2 -0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 6 2 0.45
+0 0 0 0 0 5 7 2 0.75
+0 0 0 0 0 5 8 2 1.05
+0 0 0 0 0 5 9 2 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 -1.35
+1 0 0 0 0 5 1 2 -1.05
+1 0 0 0 0 5 2 2 -0.75
+1 0 0 0 0 5 3 2 -0.45
+1 0 0 0 0 5 4 2 -0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 6 2 0.45
+1 0 0 0 0 5 7 2 0.75
+1 0 0 0 0 5 8 2 1.05
+1 0 0 0 0 5 9 2 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/bitant/cart3d_y.zl
new file mode 100644
index 000000000..f32f3acb9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/cart3d_y.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.15
+0 0 0 0 0 5 5 1 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 5 3 0.15
+0 0 0 0 0 5 5 4 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.15
+0 0 0 0 0 5 5 7 0.15
+0 0 0 0 0 5 5 8 0.15
+0 0 0 0 0 5 5 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 0.15
+1 0 0 0 0 5 5 1 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 5 3 0.15
+1 0 0 0 0 5 5 4 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 5 6 0.15
+1 0 0 0 0 5 5 7 0.15
+1 0 0 0 0 5 5 8 0.15
+1 0 0 0 0 5 5 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/bitant/cart3d_z.xl
new file mode 100644
index 000000000..8c4b8799d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/cart3d_z.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 1 5 2 0.15
+0 0 0 0 0 2 5 2 0.15
+0 0 0 0 0 3 5 2 0.15
+0 0 0 0 0 4 5 2 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 6 5 2 0.15
+0 0 0 0 0 7 5 2 0.15
+0 0 0 0 0 8 5 2 0.15
+0 0 0 0 0 9 5 2 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 0.15
+1 0 0 0 0 1 5 2 0.15
+1 0 0 0 0 2 5 2 0.15
+1 0 0 0 0 3 5 2 0.15
+1 0 0 0 0 4 5 2 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 6 5 2 0.15
+1 0 0 0 0 7 5 2 0.15
+1 0 0 0 0 8 5 2 0.15
+1 0 0 0 0 9 5 2 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/bitant/cart3d_z.yl
new file mode 100644
index 000000000..16379780b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/cart3d_z.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 5 2 2 0.15
+0 0 0 0 0 5 3 2 0.15
+0 0 0 0 0 5 4 2 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 6 2 0.15
+0 0 0 0 0 5 7 2 0.15
+0 0 0 0 0 5 8 2 0.15
+0 0 0 0 0 5 9 2 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 0.15
+1 0 0 0 0 5 1 2 0.15
+1 0 0 0 0 5 2 2 0.15
+1 0 0 0 0 5 3 2 0.15
+1 0 0 0 0 5 4 2 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 6 2 0.15
+1 0 0 0 0 5 7 2 0.15
+1 0 0 0 0 5 8 2 0.15
+1 0 0 0 0 5 9 2 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/bitant/cart3d_z.zl
new file mode 100644
index 000000000..782306204
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/cart3d_z.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 -0.45
+0 0 0 0 0 5 5 1 -0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 5 3 0.45
+0 0 0 0 0 5 5 4 0.75
+0 0 0 0 0 5 5 5 1.05
+0 0 0 0 0 5 5 6 1.35
+0 0 0 0 0 5 5 7 1.65
+0 0 0 0 0 5 5 8 1.95
+0 0 0 0 0 5 5 9 2.25
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -0.45
+1 0 0 0 0 5 5 1 -0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 5 3 0.45
+1 0 0 0 0 5 5 4 0.75
+1 0 0 0 0 5 5 5 1.05
+1 0 0 0 0 5 5 6 1.35
+1 0 0 0 0 5 5 7 1.65
+1 0 0 0 0 5 5 8 1.95
+1 0 0 0 0 5 5 9 2.25
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fxx.xl b/CarpetAttic/Cart3dTest/test/bitant/fxx.xl
new file mode 100644
index 000000000..95f2f58d9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fxx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx x (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 41000502
+0 0 0 0 0 1 5 2 41010502
+0 0 0 0 0 2 5 2 41020502
+0 0 0 0 0 3 5 2 41030502
+0 0 0 0 0 4 5 2 41040502
+0 0 0 0 0 5 5 2 41050502
+0 0 0 0 0 6 5 2 41060502
+0 0 0 0 0 7 5 2 41070502
+0 0 0 0 0 8 5 2 41080502
+0 0 0 0 0 9 5 2 41090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 41000502
+1 0 0 0 0 1 5 2 41010502
+1 0 0 0 0 2 5 2 41020502
+1 0 0 0 0 3 5 2 41030502
+1 0 0 0 0 4 5 2 41040502
+1 0 0 0 0 5 5 2 41050502
+1 0 0 0 0 6 5 2 41060502
+1 0 0 0 0 7 5 2 41070502
+1 0 0 0 0 8 5 2 41080502
+1 0 0 0 0 9 5 2 41090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fxx.yl b/CarpetAttic/Cart3dTest/test/bitant/fxx.yl
new file mode 100644
index 000000000..45b9dc040
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fxx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx y (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 41050002
+0 0 0 0 0 5 1 2 41050102
+0 0 0 0 0 5 2 2 41050202
+0 0 0 0 0 5 3 2 41050302
+0 0 0 0 0 5 4 2 41050402
+0 0 0 0 0 5 5 2 41050502
+0 0 0 0 0 5 6 2 41050602
+0 0 0 0 0 5 7 2 41050702
+0 0 0 0 0 5 8 2 41050802
+0 0 0 0 0 5 9 2 41050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 41050002
+1 0 0 0 0 5 1 2 41050102
+1 0 0 0 0 5 2 2 41050202
+1 0 0 0 0 5 3 2 41050302
+1 0 0 0 0 5 4 2 41050402
+1 0 0 0 0 5 5 2 41050502
+1 0 0 0 0 5 6 2 41050602
+1 0 0 0 0 5 7 2 41050702
+1 0 0 0 0 5 8 2 41050802
+1 0 0 0 0 5 9 2 41050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fxx.zl b/CarpetAttic/Cart3dTest/test/bitant/fxx.zl
new file mode 100644
index 000000000..7cf334992
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fxx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx z (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 41050500
+0 0 0 0 0 5 5 1 41050501
+0 0 0 0 0 5 5 2 41050502
+0 0 0 0 0 5 5 3 41050503
+0 0 0 0 0 5 5 4 41050504
+0 0 0 0 0 5 5 5 41050505
+0 0 0 0 0 5 5 6 41050506
+0 0 0 0 0 5 5 7 41050507
+0 0 0 0 0 5 5 8 41050508
+0 0 0 0 0 5 5 9 41050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 41050503
+1 0 0 0 0 5 5 1 41050502
+1 0 0 0 0 5 5 2 41050502
+1 0 0 0 0 5 5 3 41050503
+1 0 0 0 0 5 5 4 41050504
+1 0 0 0 0 5 5 5 41050505
+1 0 0 0 0 5 5 6 41050506
+1 0 0 0 0 5 5 7 41050507
+1 0 0 0 0 5 5 8 41050508
+1 0 0 0 0 5 5 9 41050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fxy.xl b/CarpetAttic/Cart3dTest/test/bitant/fxy.xl
new file mode 100644
index 000000000..698d922be
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fxy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy x (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 42000502
+0 0 0 0 0 1 5 2 42010502
+0 0 0 0 0 2 5 2 42020502
+0 0 0 0 0 3 5 2 42030502
+0 0 0 0 0 4 5 2 42040502
+0 0 0 0 0 5 5 2 42050502
+0 0 0 0 0 6 5 2 42060502
+0 0 0 0 0 7 5 2 42070502
+0 0 0 0 0 8 5 2 42080502
+0 0 0 0 0 9 5 2 42090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 42000502
+1 0 0 0 0 1 5 2 42010502
+1 0 0 0 0 2 5 2 42020502
+1 0 0 0 0 3 5 2 42030502
+1 0 0 0 0 4 5 2 42040502
+1 0 0 0 0 5 5 2 42050502
+1 0 0 0 0 6 5 2 42060502
+1 0 0 0 0 7 5 2 42070502
+1 0 0 0 0 8 5 2 42080502
+1 0 0 0 0 9 5 2 42090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fxy.yl b/CarpetAttic/Cart3dTest/test/bitant/fxy.yl
new file mode 100644
index 000000000..57400f89a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fxy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy y (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 42050002
+0 0 0 0 0 5 1 2 42050102
+0 0 0 0 0 5 2 2 42050202
+0 0 0 0 0 5 3 2 42050302
+0 0 0 0 0 5 4 2 42050402
+0 0 0 0 0 5 5 2 42050502
+0 0 0 0 0 5 6 2 42050602
+0 0 0 0 0 5 7 2 42050702
+0 0 0 0 0 5 8 2 42050802
+0 0 0 0 0 5 9 2 42050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 42050002
+1 0 0 0 0 5 1 2 42050102
+1 0 0 0 0 5 2 2 42050202
+1 0 0 0 0 5 3 2 42050302
+1 0 0 0 0 5 4 2 42050402
+1 0 0 0 0 5 5 2 42050502
+1 0 0 0 0 5 6 2 42050602
+1 0 0 0 0 5 7 2 42050702
+1 0 0 0 0 5 8 2 42050802
+1 0 0 0 0 5 9 2 42050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fxy.zl b/CarpetAttic/Cart3dTest/test/bitant/fxy.zl
new file mode 100644
index 000000000..73e972b88
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fxy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy z (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 42050500
+0 0 0 0 0 5 5 1 42050501
+0 0 0 0 0 5 5 2 42050502
+0 0 0 0 0 5 5 3 42050503
+0 0 0 0 0 5 5 4 42050504
+0 0 0 0 0 5 5 5 42050505
+0 0 0 0 0 5 5 6 42050506
+0 0 0 0 0 5 5 7 42050507
+0 0 0 0 0 5 5 8 42050508
+0 0 0 0 0 5 5 9 42050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 42050503
+1 0 0 0 0 5 5 1 42050502
+1 0 0 0 0 5 5 2 42050502
+1 0 0 0 0 5 5 3 42050503
+1 0 0 0 0 5 5 4 42050504
+1 0 0 0 0 5 5 5 42050505
+1 0 0 0 0 5 5 6 42050506
+1 0 0 0 0 5 5 7 42050507
+1 0 0 0 0 5 5 8 42050508
+1 0 0 0 0 5 5 9 42050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fxz.xl b/CarpetAttic/Cart3dTest/test/bitant/fxz.xl
new file mode 100644
index 000000000..eb671b85f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fxz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz x (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 43000502
+0 0 0 0 0 1 5 2 43010502
+0 0 0 0 0 2 5 2 43020502
+0 0 0 0 0 3 5 2 43030502
+0 0 0 0 0 4 5 2 43040502
+0 0 0 0 0 5 5 2 43050502
+0 0 0 0 0 6 5 2 43060502
+0 0 0 0 0 7 5 2 43070502
+0 0 0 0 0 8 5 2 43080502
+0 0 0 0 0 9 5 2 43090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 43000502
+1 0 0 0 0 1 5 2 43010502
+1 0 0 0 0 2 5 2 43020502
+1 0 0 0 0 3 5 2 43030502
+1 0 0 0 0 4 5 2 43040502
+1 0 0 0 0 5 5 2 43050502
+1 0 0 0 0 6 5 2 43060502
+1 0 0 0 0 7 5 2 43070502
+1 0 0 0 0 8 5 2 43080502
+1 0 0 0 0 9 5 2 43090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fxz.yl b/CarpetAttic/Cart3dTest/test/bitant/fxz.yl
new file mode 100644
index 000000000..76fe56c05
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fxz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz y (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 43050002
+0 0 0 0 0 5 1 2 43050102
+0 0 0 0 0 5 2 2 43050202
+0 0 0 0 0 5 3 2 43050302
+0 0 0 0 0 5 4 2 43050402
+0 0 0 0 0 5 5 2 43050502
+0 0 0 0 0 5 6 2 43050602
+0 0 0 0 0 5 7 2 43050702
+0 0 0 0 0 5 8 2 43050802
+0 0 0 0 0 5 9 2 43050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 43050002
+1 0 0 0 0 5 1 2 43050102
+1 0 0 0 0 5 2 2 43050202
+1 0 0 0 0 5 3 2 43050302
+1 0 0 0 0 5 4 2 43050402
+1 0 0 0 0 5 5 2 43050502
+1 0 0 0 0 5 6 2 43050602
+1 0 0 0 0 5 7 2 43050702
+1 0 0 0 0 5 8 2 43050802
+1 0 0 0 0 5 9 2 43050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fxz.zl b/CarpetAttic/Cart3dTest/test/bitant/fxz.zl
new file mode 100644
index 000000000..35900ef4e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fxz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz z (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 43050500
+0 0 0 0 0 5 5 1 43050501
+0 0 0 0 0 5 5 2 43050502
+0 0 0 0 0 5 5 3 43050503
+0 0 0 0 0 5 5 4 43050504
+0 0 0 0 0 5 5 5 43050505
+0 0 0 0 0 5 5 6 43050506
+0 0 0 0 0 5 5 7 43050507
+0 0 0 0 0 5 5 8 43050508
+0 0 0 0 0 5 5 9 43050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -43050503
+1 0 0 0 0 5 5 1 -43050502
+1 0 0 0 0 5 5 2 43050502
+1 0 0 0 0 5 5 3 43050503
+1 0 0 0 0 5 5 4 43050504
+1 0 0 0 0 5 5 5 43050505
+1 0 0 0 0 5 5 6 43050506
+1 0 0 0 0 5 5 7 43050507
+1 0 0 0 0 5 5 8 43050508
+1 0 0 0 0 5 5 9 43050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fyx.xl b/CarpetAttic/Cart3dTest/test/bitant/fyx.xl
new file mode 100644
index 000000000..caa8164cc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fyx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx x (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 44000502
+0 0 0 0 0 1 5 2 44010502
+0 0 0 0 0 2 5 2 44020502
+0 0 0 0 0 3 5 2 44030502
+0 0 0 0 0 4 5 2 44040502
+0 0 0 0 0 5 5 2 44050502
+0 0 0 0 0 6 5 2 44060502
+0 0 0 0 0 7 5 2 44070502
+0 0 0 0 0 8 5 2 44080502
+0 0 0 0 0 9 5 2 44090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 44000502
+1 0 0 0 0 1 5 2 44010502
+1 0 0 0 0 2 5 2 44020502
+1 0 0 0 0 3 5 2 44030502
+1 0 0 0 0 4 5 2 44040502
+1 0 0 0 0 5 5 2 44050502
+1 0 0 0 0 6 5 2 44060502
+1 0 0 0 0 7 5 2 44070502
+1 0 0 0 0 8 5 2 44080502
+1 0 0 0 0 9 5 2 44090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fyx.yl b/CarpetAttic/Cart3dTest/test/bitant/fyx.yl
new file mode 100644
index 000000000..2e7f66e3d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fyx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx y (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 44050002
+0 0 0 0 0 5 1 2 44050102
+0 0 0 0 0 5 2 2 44050202
+0 0 0 0 0 5 3 2 44050302
+0 0 0 0 0 5 4 2 44050402
+0 0 0 0 0 5 5 2 44050502
+0 0 0 0 0 5 6 2 44050602
+0 0 0 0 0 5 7 2 44050702
+0 0 0 0 0 5 8 2 44050802
+0 0 0 0 0 5 9 2 44050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 44050002
+1 0 0 0 0 5 1 2 44050102
+1 0 0 0 0 5 2 2 44050202
+1 0 0 0 0 5 3 2 44050302
+1 0 0 0 0 5 4 2 44050402
+1 0 0 0 0 5 5 2 44050502
+1 0 0 0 0 5 6 2 44050602
+1 0 0 0 0 5 7 2 44050702
+1 0 0 0 0 5 8 2 44050802
+1 0 0 0 0 5 9 2 44050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fyx.zl b/CarpetAttic/Cart3dTest/test/bitant/fyx.zl
new file mode 100644
index 000000000..db9cd5c51
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fyx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx z (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 44050500
+0 0 0 0 0 5 5 1 44050501
+0 0 0 0 0 5 5 2 44050502
+0 0 0 0 0 5 5 3 44050503
+0 0 0 0 0 5 5 4 44050504
+0 0 0 0 0 5 5 5 44050505
+0 0 0 0 0 5 5 6 44050506
+0 0 0 0 0 5 5 7 44050507
+0 0 0 0 0 5 5 8 44050508
+0 0 0 0 0 5 5 9 44050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 44050503
+1 0 0 0 0 5 5 1 44050502
+1 0 0 0 0 5 5 2 44050502
+1 0 0 0 0 5 5 3 44050503
+1 0 0 0 0 5 5 4 44050504
+1 0 0 0 0 5 5 5 44050505
+1 0 0 0 0 5 5 6 44050506
+1 0 0 0 0 5 5 7 44050507
+1 0 0 0 0 5 5 8 44050508
+1 0 0 0 0 5 5 9 44050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fyy.xl b/CarpetAttic/Cart3dTest/test/bitant/fyy.xl
new file mode 100644
index 000000000..d268589ad
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy x (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 45000502
+0 0 0 0 0 1 5 2 45010502
+0 0 0 0 0 2 5 2 45020502
+0 0 0 0 0 3 5 2 45030502
+0 0 0 0 0 4 5 2 45040502
+0 0 0 0 0 5 5 2 45050502
+0 0 0 0 0 6 5 2 45060502
+0 0 0 0 0 7 5 2 45070502
+0 0 0 0 0 8 5 2 45080502
+0 0 0 0 0 9 5 2 45090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 45000502
+1 0 0 0 0 1 5 2 45010502
+1 0 0 0 0 2 5 2 45020502
+1 0 0 0 0 3 5 2 45030502
+1 0 0 0 0 4 5 2 45040502
+1 0 0 0 0 5 5 2 45050502
+1 0 0 0 0 6 5 2 45060502
+1 0 0 0 0 7 5 2 45070502
+1 0 0 0 0 8 5 2 45080502
+1 0 0 0 0 9 5 2 45090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fyy.yl b/CarpetAttic/Cart3dTest/test/bitant/fyy.yl
new file mode 100644
index 000000000..f4c8638bd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy y (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 45050002
+0 0 0 0 0 5 1 2 45050102
+0 0 0 0 0 5 2 2 45050202
+0 0 0 0 0 5 3 2 45050302
+0 0 0 0 0 5 4 2 45050402
+0 0 0 0 0 5 5 2 45050502
+0 0 0 0 0 5 6 2 45050602
+0 0 0 0 0 5 7 2 45050702
+0 0 0 0 0 5 8 2 45050802
+0 0 0 0 0 5 9 2 45050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 45050002
+1 0 0 0 0 5 1 2 45050102
+1 0 0 0 0 5 2 2 45050202
+1 0 0 0 0 5 3 2 45050302
+1 0 0 0 0 5 4 2 45050402
+1 0 0 0 0 5 5 2 45050502
+1 0 0 0 0 5 6 2 45050602
+1 0 0 0 0 5 7 2 45050702
+1 0 0 0 0 5 8 2 45050802
+1 0 0 0 0 5 9 2 45050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fyy.zl b/CarpetAttic/Cart3dTest/test/bitant/fyy.zl
new file mode 100644
index 000000000..6810ad5c4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy z (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 45050500
+0 0 0 0 0 5 5 1 45050501
+0 0 0 0 0 5 5 2 45050502
+0 0 0 0 0 5 5 3 45050503
+0 0 0 0 0 5 5 4 45050504
+0 0 0 0 0 5 5 5 45050505
+0 0 0 0 0 5 5 6 45050506
+0 0 0 0 0 5 5 7 45050507
+0 0 0 0 0 5 5 8 45050508
+0 0 0 0 0 5 5 9 45050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 45050503
+1 0 0 0 0 5 5 1 45050502
+1 0 0 0 0 5 5 2 45050502
+1 0 0 0 0 5 5 3 45050503
+1 0 0 0 0 5 5 4 45050504
+1 0 0 0 0 5 5 5 45050505
+1 0 0 0 0 5 5 6 45050506
+1 0 0 0 0 5 5 7 45050507
+1 0 0 0 0 5 5 8 45050508
+1 0 0 0 0 5 5 9 45050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fyz.xl b/CarpetAttic/Cart3dTest/test/bitant/fyz.xl
new file mode 100644
index 000000000..d9da37975
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz x (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 46000502
+0 0 0 0 0 1 5 2 46010502
+0 0 0 0 0 2 5 2 46020502
+0 0 0 0 0 3 5 2 46030502
+0 0 0 0 0 4 5 2 46040502
+0 0 0 0 0 5 5 2 46050502
+0 0 0 0 0 6 5 2 46060502
+0 0 0 0 0 7 5 2 46070502
+0 0 0 0 0 8 5 2 46080502
+0 0 0 0 0 9 5 2 46090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 46000502
+1 0 0 0 0 1 5 2 46010502
+1 0 0 0 0 2 5 2 46020502
+1 0 0 0 0 3 5 2 46030502
+1 0 0 0 0 4 5 2 46040502
+1 0 0 0 0 5 5 2 46050502
+1 0 0 0 0 6 5 2 46060502
+1 0 0 0 0 7 5 2 46070502
+1 0 0 0 0 8 5 2 46080502
+1 0 0 0 0 9 5 2 46090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fyz.yl b/CarpetAttic/Cart3dTest/test/bitant/fyz.yl
new file mode 100644
index 000000000..439d46104
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz y (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 46050002
+0 0 0 0 0 5 1 2 46050102
+0 0 0 0 0 5 2 2 46050202
+0 0 0 0 0 5 3 2 46050302
+0 0 0 0 0 5 4 2 46050402
+0 0 0 0 0 5 5 2 46050502
+0 0 0 0 0 5 6 2 46050602
+0 0 0 0 0 5 7 2 46050702
+0 0 0 0 0 5 8 2 46050802
+0 0 0 0 0 5 9 2 46050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 46050002
+1 0 0 0 0 5 1 2 46050102
+1 0 0 0 0 5 2 2 46050202
+1 0 0 0 0 5 3 2 46050302
+1 0 0 0 0 5 4 2 46050402
+1 0 0 0 0 5 5 2 46050502
+1 0 0 0 0 5 6 2 46050602
+1 0 0 0 0 5 7 2 46050702
+1 0 0 0 0 5 8 2 46050802
+1 0 0 0 0 5 9 2 46050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fyz.zl b/CarpetAttic/Cart3dTest/test/bitant/fyz.zl
new file mode 100644
index 000000000..88664545b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz z (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 46050500
+0 0 0 0 0 5 5 1 46050501
+0 0 0 0 0 5 5 2 46050502
+0 0 0 0 0 5 5 3 46050503
+0 0 0 0 0 5 5 4 46050504
+0 0 0 0 0 5 5 5 46050505
+0 0 0 0 0 5 5 6 46050506
+0 0 0 0 0 5 5 7 46050507
+0 0 0 0 0 5 5 8 46050508
+0 0 0 0 0 5 5 9 46050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -46050503
+1 0 0 0 0 5 5 1 -46050502
+1 0 0 0 0 5 5 2 46050502
+1 0 0 0 0 5 5 3 46050503
+1 0 0 0 0 5 5 4 46050504
+1 0 0 0 0 5 5 5 46050505
+1 0 0 0 0 5 5 6 46050506
+1 0 0 0 0 5 5 7 46050507
+1 0 0 0 0 5 5 8 46050508
+1 0 0 0 0 5 5 9 46050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fzx.xl b/CarpetAttic/Cart3dTest/test/bitant/fzx.xl
new file mode 100644
index 000000000..166ce0b93
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fzx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx x (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 47000502
+0 0 0 0 0 1 5 2 47010502
+0 0 0 0 0 2 5 2 47020502
+0 0 0 0 0 3 5 2 47030502
+0 0 0 0 0 4 5 2 47040502
+0 0 0 0 0 5 5 2 47050502
+0 0 0 0 0 6 5 2 47060502
+0 0 0 0 0 7 5 2 47070502
+0 0 0 0 0 8 5 2 47080502
+0 0 0 0 0 9 5 2 47090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 47000502
+1 0 0 0 0 1 5 2 47010502
+1 0 0 0 0 2 5 2 47020502
+1 0 0 0 0 3 5 2 47030502
+1 0 0 0 0 4 5 2 47040502
+1 0 0 0 0 5 5 2 47050502
+1 0 0 0 0 6 5 2 47060502
+1 0 0 0 0 7 5 2 47070502
+1 0 0 0 0 8 5 2 47080502
+1 0 0 0 0 9 5 2 47090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fzx.yl b/CarpetAttic/Cart3dTest/test/bitant/fzx.yl
new file mode 100644
index 000000000..d5bd56675
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fzx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx y (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 47050002
+0 0 0 0 0 5 1 2 47050102
+0 0 0 0 0 5 2 2 47050202
+0 0 0 0 0 5 3 2 47050302
+0 0 0 0 0 5 4 2 47050402
+0 0 0 0 0 5 5 2 47050502
+0 0 0 0 0 5 6 2 47050602
+0 0 0 0 0 5 7 2 47050702
+0 0 0 0 0 5 8 2 47050802
+0 0 0 0 0 5 9 2 47050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 47050002
+1 0 0 0 0 5 1 2 47050102
+1 0 0 0 0 5 2 2 47050202
+1 0 0 0 0 5 3 2 47050302
+1 0 0 0 0 5 4 2 47050402
+1 0 0 0 0 5 5 2 47050502
+1 0 0 0 0 5 6 2 47050602
+1 0 0 0 0 5 7 2 47050702
+1 0 0 0 0 5 8 2 47050802
+1 0 0 0 0 5 9 2 47050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fzx.zl b/CarpetAttic/Cart3dTest/test/bitant/fzx.zl
new file mode 100644
index 000000000..6a7aaf327
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fzx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx z (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 47050500
+0 0 0 0 0 5 5 1 47050501
+0 0 0 0 0 5 5 2 47050502
+0 0 0 0 0 5 5 3 47050503
+0 0 0 0 0 5 5 4 47050504
+0 0 0 0 0 5 5 5 47050505
+0 0 0 0 0 5 5 6 47050506
+0 0 0 0 0 5 5 7 47050507
+0 0 0 0 0 5 5 8 47050508
+0 0 0 0 0 5 5 9 47050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -47050503
+1 0 0 0 0 5 5 1 -47050502
+1 0 0 0 0 5 5 2 47050502
+1 0 0 0 0 5 5 3 47050503
+1 0 0 0 0 5 5 4 47050504
+1 0 0 0 0 5 5 5 47050505
+1 0 0 0 0 5 5 6 47050506
+1 0 0 0 0 5 5 7 47050507
+1 0 0 0 0 5 5 8 47050508
+1 0 0 0 0 5 5 9 47050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fzy.xl b/CarpetAttic/Cart3dTest/test/bitant/fzy.xl
new file mode 100644
index 000000000..67d0795b4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fzy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy x (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 48000502
+0 0 0 0 0 1 5 2 48010502
+0 0 0 0 0 2 5 2 48020502
+0 0 0 0 0 3 5 2 48030502
+0 0 0 0 0 4 5 2 48040502
+0 0 0 0 0 5 5 2 48050502
+0 0 0 0 0 6 5 2 48060502
+0 0 0 0 0 7 5 2 48070502
+0 0 0 0 0 8 5 2 48080502
+0 0 0 0 0 9 5 2 48090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 48000502
+1 0 0 0 0 1 5 2 48010502
+1 0 0 0 0 2 5 2 48020502
+1 0 0 0 0 3 5 2 48030502
+1 0 0 0 0 4 5 2 48040502
+1 0 0 0 0 5 5 2 48050502
+1 0 0 0 0 6 5 2 48060502
+1 0 0 0 0 7 5 2 48070502
+1 0 0 0 0 8 5 2 48080502
+1 0 0 0 0 9 5 2 48090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fzy.yl b/CarpetAttic/Cart3dTest/test/bitant/fzy.yl
new file mode 100644
index 000000000..d4f39f9f5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fzy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy y (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 48050002
+0 0 0 0 0 5 1 2 48050102
+0 0 0 0 0 5 2 2 48050202
+0 0 0 0 0 5 3 2 48050302
+0 0 0 0 0 5 4 2 48050402
+0 0 0 0 0 5 5 2 48050502
+0 0 0 0 0 5 6 2 48050602
+0 0 0 0 0 5 7 2 48050702
+0 0 0 0 0 5 8 2 48050802
+0 0 0 0 0 5 9 2 48050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 48050002
+1 0 0 0 0 5 1 2 48050102
+1 0 0 0 0 5 2 2 48050202
+1 0 0 0 0 5 3 2 48050302
+1 0 0 0 0 5 4 2 48050402
+1 0 0 0 0 5 5 2 48050502
+1 0 0 0 0 5 6 2 48050602
+1 0 0 0 0 5 7 2 48050702
+1 0 0 0 0 5 8 2 48050802
+1 0 0 0 0 5 9 2 48050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fzy.zl b/CarpetAttic/Cart3dTest/test/bitant/fzy.zl
new file mode 100644
index 000000000..23ee48c3d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fzy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy z (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 48050500
+0 0 0 0 0 5 5 1 48050501
+0 0 0 0 0 5 5 2 48050502
+0 0 0 0 0 5 5 3 48050503
+0 0 0 0 0 5 5 4 48050504
+0 0 0 0 0 5 5 5 48050505
+0 0 0 0 0 5 5 6 48050506
+0 0 0 0 0 5 5 7 48050507
+0 0 0 0 0 5 5 8 48050508
+0 0 0 0 0 5 5 9 48050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -48050503
+1 0 0 0 0 5 5 1 -48050502
+1 0 0 0 0 5 5 2 48050502
+1 0 0 0 0 5 5 3 48050503
+1 0 0 0 0 5 5 4 48050504
+1 0 0 0 0 5 5 5 48050505
+1 0 0 0 0 5 5 6 48050506
+1 0 0 0 0 5 5 7 48050507
+1 0 0 0 0 5 5 8 48050508
+1 0 0 0 0 5 5 9 48050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fzz.xl b/CarpetAttic/Cart3dTest/test/bitant/fzz.xl
new file mode 100644
index 000000000..ea6d43b75
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz x (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 49000502
+0 0 0 0 0 1 5 2 49010502
+0 0 0 0 0 2 5 2 49020502
+0 0 0 0 0 3 5 2 49030502
+0 0 0 0 0 4 5 2 49040502
+0 0 0 0 0 5 5 2 49050502
+0 0 0 0 0 6 5 2 49060502
+0 0 0 0 0 7 5 2 49070502
+0 0 0 0 0 8 5 2 49080502
+0 0 0 0 0 9 5 2 49090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 49000502
+1 0 0 0 0 1 5 2 49010502
+1 0 0 0 0 2 5 2 49020502
+1 0 0 0 0 3 5 2 49030502
+1 0 0 0 0 4 5 2 49040502
+1 0 0 0 0 5 5 2 49050502
+1 0 0 0 0 6 5 2 49060502
+1 0 0 0 0 7 5 2 49070502
+1 0 0 0 0 8 5 2 49080502
+1 0 0 0 0 9 5 2 49090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fzz.yl b/CarpetAttic/Cart3dTest/test/bitant/fzz.yl
new file mode 100644
index 000000000..4259fdddb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz y (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 49050002
+0 0 0 0 0 5 1 2 49050102
+0 0 0 0 0 5 2 2 49050202
+0 0 0 0 0 5 3 2 49050302
+0 0 0 0 0 5 4 2 49050402
+0 0 0 0 0 5 5 2 49050502
+0 0 0 0 0 5 6 2 49050602
+0 0 0 0 0 5 7 2 49050702
+0 0 0 0 0 5 8 2 49050802
+0 0 0 0 0 5 9 2 49050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 49050002
+1 0 0 0 0 5 1 2 49050102
+1 0 0 0 0 5 2 2 49050202
+1 0 0 0 0 5 3 2 49050302
+1 0 0 0 0 5 4 2 49050402
+1 0 0 0 0 5 5 2 49050502
+1 0 0 0 0 5 6 2 49050602
+1 0 0 0 0 5 7 2 49050702
+1 0 0 0 0 5 8 2 49050802
+1 0 0 0 0 5 9 2 49050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/fzz.zl b/CarpetAttic/Cart3dTest/test/bitant/fzz.zl
new file mode 100644
index 000000000..12f4d1be3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/fzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz z (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 49050500
+0 0 0 0 0 5 5 1 49050501
+0 0 0 0 0 5 5 2 49050502
+0 0 0 0 0 5 5 3 49050503
+0 0 0 0 0 5 5 4 49050504
+0 0 0 0 0 5 5 5 49050505
+0 0 0 0 0 5 5 6 49050506
+0 0 0 0 0 5 5 7 49050507
+0 0 0 0 0 5 5 8 49050508
+0 0 0 0 0 5 5 9 49050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 49050503
+1 0 0 0 0 5 5 1 49050502
+1 0 0 0 0 5 5 2 49050502
+1 0 0 0 0 5 5 3 49050503
+1 0 0 0 0 5 5 4 49050504
+1 0 0 0 0 5 5 5 49050505
+1 0 0 0 0 5 5 6 49050506
+1 0 0 0 0 5 5 7 49050507
+1 0 0 0 0 5 5 8 49050508
+1 0 0 0 0 5 5 9 49050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/s.xl b/CarpetAttic/Cart3dTest/test/bitant/s.xl
new file mode 100644
index 000000000..7a04400cd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/s.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::s x (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 1000502
+0 0 0 0 0 1 5 2 1010502
+0 0 0 0 0 2 5 2 1020502
+0 0 0 0 0 3 5 2 1030502
+0 0 0 0 0 4 5 2 1040502
+0 0 0 0 0 5 5 2 1050502
+0 0 0 0 0 6 5 2 1060502
+0 0 0 0 0 7 5 2 1070502
+0 0 0 0 0 8 5 2 1080502
+0 0 0 0 0 9 5 2 1090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 1000502
+1 0 0 0 0 1 5 2 1010502
+1 0 0 0 0 2 5 2 1020502
+1 0 0 0 0 3 5 2 1030502
+1 0 0 0 0 4 5 2 1040502
+1 0 0 0 0 5 5 2 1050502
+1 0 0 0 0 6 5 2 1060502
+1 0 0 0 0 7 5 2 1070502
+1 0 0 0 0 8 5 2 1080502
+1 0 0 0 0 9 5 2 1090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/s.yl b/CarpetAttic/Cart3dTest/test/bitant/s.yl
new file mode 100644
index 000000000..015f9c174
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/s.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::s y (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 1050002
+0 0 0 0 0 5 1 2 1050102
+0 0 0 0 0 5 2 2 1050202
+0 0 0 0 0 5 3 2 1050302
+0 0 0 0 0 5 4 2 1050402
+0 0 0 0 0 5 5 2 1050502
+0 0 0 0 0 5 6 2 1050602
+0 0 0 0 0 5 7 2 1050702
+0 0 0 0 0 5 8 2 1050802
+0 0 0 0 0 5 9 2 1050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 1050002
+1 0 0 0 0 5 1 2 1050102
+1 0 0 0 0 5 2 2 1050202
+1 0 0 0 0 5 3 2 1050302
+1 0 0 0 0 5 4 2 1050402
+1 0 0 0 0 5 5 2 1050502
+1 0 0 0 0 5 6 2 1050602
+1 0 0 0 0 5 7 2 1050702
+1 0 0 0 0 5 8 2 1050802
+1 0 0 0 0 5 9 2 1050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/s.zl b/CarpetAttic/Cart3dTest/test/bitant/s.zl
new file mode 100644
index 000000000..023100e8a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/s.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::s z (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 1050500
+0 0 0 0 0 5 5 1 1050501
+0 0 0 0 0 5 5 2 1050502
+0 0 0 0 0 5 5 3 1050503
+0 0 0 0 0 5 5 4 1050504
+0 0 0 0 0 5 5 5 1050505
+0 0 0 0 0 5 5 6 1050506
+0 0 0 0 0 5 5 7 1050507
+0 0 0 0 0 5 5 8 1050508
+0 0 0 0 0 5 5 9 1050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 1050503
+1 0 0 0 0 5 5 1 1050502
+1 0 0 0 0 5 5 2 1050502
+1 0 0 0 0 5 5 3 1050503
+1 0 0 0 0 5 5 4 1050504
+1 0 0 0 0 5 5 5 1050505
+1 0 0 0 0 5 5 6 1050506
+1 0 0 0 0 5 5 7 1050507
+1 0 0 0 0 5 5 8 1050508
+1 0 0 0 0 5 5 9 1050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/bitant/spher3d_r.xl
new file mode 100644
index 000000000..ac37f85d4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/spher3d_r.xl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 1.36656503687164
+0 0 0 0 0 1 5 2 1.07121426428143
+0 0 0 0 0 2 5 2 0.779422863405995
+0 0 0 0 0 3 5 2 0.49749371855331
+0 0 0 0 0 4 5 2 0.259807621135332
+0 0 0 0 0 5 5 2 0.259807621135332
+0 0 0 0 0 6 5 2 0.49749371855331
+0 0 0 0 0 7 5 2 0.779422863405995
+0 0 0 0 0 8 5 2 1.07121426428143
+0 0 0 0 0 9 5 2 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 1.36656503687164
+1 0 0 0 0 1 5 2 1.07121426428143
+1 0 0 0 0 2 5 2 0.779422863405995
+1 0 0 0 0 3 5 2 0.49749371855331
+1 0 0 0 0 4 5 2 0.259807621135332
+1 0 0 0 0 5 5 2 0.259807621135332
+1 0 0 0 0 6 5 2 0.49749371855331
+1 0 0 0 0 7 5 2 0.779422863405995
+1 0 0 0 0 8 5 2 1.07121426428143
+1 0 0 0 0 9 5 2 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/bitant/spher3d_r.yl
new file mode 100644
index 000000000..231a17018
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/spher3d_r.yl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 1.36656503687164
+0 0 0 0 0 5 1 2 1.07121426428143
+0 0 0 0 0 5 2 2 0.779422863405995
+0 0 0 0 0 5 3 2 0.49749371855331
+0 0 0 0 0 5 4 2 0.259807621135332
+0 0 0 0 0 5 5 2 0.259807621135332
+0 0 0 0 0 5 6 2 0.49749371855331
+0 0 0 0 0 5 7 2 0.779422863405995
+0 0 0 0 0 5 8 2 1.07121426428143
+0 0 0 0 0 5 9 2 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 1.36656503687164
+1 0 0 0 0 5 1 2 1.07121426428143
+1 0 0 0 0 5 2 2 0.779422863405995
+1 0 0 0 0 5 3 2 0.49749371855331
+1 0 0 0 0 5 4 2 0.259807621135332
+1 0 0 0 0 5 5 2 0.259807621135332
+1 0 0 0 0 5 6 2 0.49749371855331
+1 0 0 0 0 5 7 2 0.779422863405995
+1 0 0 0 0 5 8 2 1.07121426428143
+1 0 0 0 0 5 9 2 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/bitant/spher3d_r.zl
new file mode 100644
index 000000000..400eb7b81
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/spher3d_r.zl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.49749371855331
+0 0 0 0 0 5 5 1 0.259807621135332
+0 0 0 0 0 5 5 2 0.259807621135332
+0 0 0 0 0 5 5 3 0.49749371855331
+0 0 0 0 0 5 5 4 0.779422863405995
+0 0 0 0 0 5 5 5 1.07121426428143
+0 0 0 0 0 5 5 6 1.36656503687164
+0 0 0 0 0 5 5 7 1.66358047596141
+0 0 0 0 0 5 5 8 1.9615045245933
+0 0 0 0 0 5 5 9 2.2599778759979
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 0.49749371855331
+1 0 0 0 0 5 5 1 0.259807621135332
+1 0 0 0 0 5 5 2 0.259807621135332
+1 0 0 0 0 5 5 3 0.49749371855331
+1 0 0 0 0 5 5 4 0.779422863405995
+1 0 0 0 0 5 5 5 1.07121426428143
+1 0 0 0 0 5 5 6 1.36656503687164
+1 0 0 0 0 5 5 7 1.66358047596141
+1 0 0 0 0 5 5 8 1.9615045245933
+1 0 0 0 0 5 5 9 2.2599778759979
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/txx.xl b/CarpetAttic/Cart3dTest/test/bitant/txx.xl
new file mode 100644
index 000000000..b7e4ea8ba
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/txx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx x (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 21000502
+0 0 0 0 0 1 5 2 21010502
+0 0 0 0 0 2 5 2 21020502
+0 0 0 0 0 3 5 2 21030502
+0 0 0 0 0 4 5 2 21040502
+0 0 0 0 0 5 5 2 21050502
+0 0 0 0 0 6 5 2 21060502
+0 0 0 0 0 7 5 2 21070502
+0 0 0 0 0 8 5 2 21080502
+0 0 0 0 0 9 5 2 21090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 21000502
+1 0 0 0 0 1 5 2 21010502
+1 0 0 0 0 2 5 2 21020502
+1 0 0 0 0 3 5 2 21030502
+1 0 0 0 0 4 5 2 21040502
+1 0 0 0 0 5 5 2 21050502
+1 0 0 0 0 6 5 2 21060502
+1 0 0 0 0 7 5 2 21070502
+1 0 0 0 0 8 5 2 21080502
+1 0 0 0 0 9 5 2 21090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/txx.yl b/CarpetAttic/Cart3dTest/test/bitant/txx.yl
new file mode 100644
index 000000000..438a399f6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/txx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx y (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 21050002
+0 0 0 0 0 5 1 2 21050102
+0 0 0 0 0 5 2 2 21050202
+0 0 0 0 0 5 3 2 21050302
+0 0 0 0 0 5 4 2 21050402
+0 0 0 0 0 5 5 2 21050502
+0 0 0 0 0 5 6 2 21050602
+0 0 0 0 0 5 7 2 21050702
+0 0 0 0 0 5 8 2 21050802
+0 0 0 0 0 5 9 2 21050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 21050002
+1 0 0 0 0 5 1 2 21050102
+1 0 0 0 0 5 2 2 21050202
+1 0 0 0 0 5 3 2 21050302
+1 0 0 0 0 5 4 2 21050402
+1 0 0 0 0 5 5 2 21050502
+1 0 0 0 0 5 6 2 21050602
+1 0 0 0 0 5 7 2 21050702
+1 0 0 0 0 5 8 2 21050802
+1 0 0 0 0 5 9 2 21050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/txx.zl b/CarpetAttic/Cart3dTest/test/bitant/txx.zl
new file mode 100644
index 000000000..5fc1b3e07
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/txx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx z (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 21050500
+0 0 0 0 0 5 5 1 21050501
+0 0 0 0 0 5 5 2 21050502
+0 0 0 0 0 5 5 3 21050503
+0 0 0 0 0 5 5 4 21050504
+0 0 0 0 0 5 5 5 21050505
+0 0 0 0 0 5 5 6 21050506
+0 0 0 0 0 5 5 7 21050507
+0 0 0 0 0 5 5 8 21050508
+0 0 0 0 0 5 5 9 21050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 21050503
+1 0 0 0 0 5 5 1 21050502
+1 0 0 0 0 5 5 2 21050502
+1 0 0 0 0 5 5 3 21050503
+1 0 0 0 0 5 5 4 21050504
+1 0 0 0 0 5 5 5 21050505
+1 0 0 0 0 5 5 6 21050506
+1 0 0 0 0 5 5 7 21050507
+1 0 0 0 0 5 5 8 21050508
+1 0 0 0 0 5 5 9 21050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/txy.xl b/CarpetAttic/Cart3dTest/test/bitant/txy.xl
new file mode 100644
index 000000000..2278b90e1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/txy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy x (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 22000502
+0 0 0 0 0 1 5 2 22010502
+0 0 0 0 0 2 5 2 22020502
+0 0 0 0 0 3 5 2 22030502
+0 0 0 0 0 4 5 2 22040502
+0 0 0 0 0 5 5 2 22050502
+0 0 0 0 0 6 5 2 22060502
+0 0 0 0 0 7 5 2 22070502
+0 0 0 0 0 8 5 2 22080502
+0 0 0 0 0 9 5 2 22090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 22000502
+1 0 0 0 0 1 5 2 22010502
+1 0 0 0 0 2 5 2 22020502
+1 0 0 0 0 3 5 2 22030502
+1 0 0 0 0 4 5 2 22040502
+1 0 0 0 0 5 5 2 22050502
+1 0 0 0 0 6 5 2 22060502
+1 0 0 0 0 7 5 2 22070502
+1 0 0 0 0 8 5 2 22080502
+1 0 0 0 0 9 5 2 22090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/txy.yl b/CarpetAttic/Cart3dTest/test/bitant/txy.yl
new file mode 100644
index 000000000..c13cc81d7
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/txy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy y (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 22050002
+0 0 0 0 0 5 1 2 22050102
+0 0 0 0 0 5 2 2 22050202
+0 0 0 0 0 5 3 2 22050302
+0 0 0 0 0 5 4 2 22050402
+0 0 0 0 0 5 5 2 22050502
+0 0 0 0 0 5 6 2 22050602
+0 0 0 0 0 5 7 2 22050702
+0 0 0 0 0 5 8 2 22050802
+0 0 0 0 0 5 9 2 22050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 22050002
+1 0 0 0 0 5 1 2 22050102
+1 0 0 0 0 5 2 2 22050202
+1 0 0 0 0 5 3 2 22050302
+1 0 0 0 0 5 4 2 22050402
+1 0 0 0 0 5 5 2 22050502
+1 0 0 0 0 5 6 2 22050602
+1 0 0 0 0 5 7 2 22050702
+1 0 0 0 0 5 8 2 22050802
+1 0 0 0 0 5 9 2 22050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/txy.zl b/CarpetAttic/Cart3dTest/test/bitant/txy.zl
new file mode 100644
index 000000000..c0dd702cb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/txy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy z (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 22050500
+0 0 0 0 0 5 5 1 22050501
+0 0 0 0 0 5 5 2 22050502
+0 0 0 0 0 5 5 3 22050503
+0 0 0 0 0 5 5 4 22050504
+0 0 0 0 0 5 5 5 22050505
+0 0 0 0 0 5 5 6 22050506
+0 0 0 0 0 5 5 7 22050507
+0 0 0 0 0 5 5 8 22050508
+0 0 0 0 0 5 5 9 22050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 22050503
+1 0 0 0 0 5 5 1 22050502
+1 0 0 0 0 5 5 2 22050502
+1 0 0 0 0 5 5 3 22050503
+1 0 0 0 0 5 5 4 22050504
+1 0 0 0 0 5 5 5 22050505
+1 0 0 0 0 5 5 6 22050506
+1 0 0 0 0 5 5 7 22050507
+1 0 0 0 0 5 5 8 22050508
+1 0 0 0 0 5 5 9 22050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/txz.xl b/CarpetAttic/Cart3dTest/test/bitant/txz.xl
new file mode 100644
index 000000000..f00e24469
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/txz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz x (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 23000502
+0 0 0 0 0 1 5 2 23010502
+0 0 0 0 0 2 5 2 23020502
+0 0 0 0 0 3 5 2 23030502
+0 0 0 0 0 4 5 2 23040502
+0 0 0 0 0 5 5 2 23050502
+0 0 0 0 0 6 5 2 23060502
+0 0 0 0 0 7 5 2 23070502
+0 0 0 0 0 8 5 2 23080502
+0 0 0 0 0 9 5 2 23090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 23000502
+1 0 0 0 0 1 5 2 23010502
+1 0 0 0 0 2 5 2 23020502
+1 0 0 0 0 3 5 2 23030502
+1 0 0 0 0 4 5 2 23040502
+1 0 0 0 0 5 5 2 23050502
+1 0 0 0 0 6 5 2 23060502
+1 0 0 0 0 7 5 2 23070502
+1 0 0 0 0 8 5 2 23080502
+1 0 0 0 0 9 5 2 23090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/txz.yl b/CarpetAttic/Cart3dTest/test/bitant/txz.yl
new file mode 100644
index 000000000..a3bd867b5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/txz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz y (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 23050002
+0 0 0 0 0 5 1 2 23050102
+0 0 0 0 0 5 2 2 23050202
+0 0 0 0 0 5 3 2 23050302
+0 0 0 0 0 5 4 2 23050402
+0 0 0 0 0 5 5 2 23050502
+0 0 0 0 0 5 6 2 23050602
+0 0 0 0 0 5 7 2 23050702
+0 0 0 0 0 5 8 2 23050802
+0 0 0 0 0 5 9 2 23050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 23050002
+1 0 0 0 0 5 1 2 23050102
+1 0 0 0 0 5 2 2 23050202
+1 0 0 0 0 5 3 2 23050302
+1 0 0 0 0 5 4 2 23050402
+1 0 0 0 0 5 5 2 23050502
+1 0 0 0 0 5 6 2 23050602
+1 0 0 0 0 5 7 2 23050702
+1 0 0 0 0 5 8 2 23050802
+1 0 0 0 0 5 9 2 23050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/txz.zl b/CarpetAttic/Cart3dTest/test/bitant/txz.zl
new file mode 100644
index 000000000..d6a44e761
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/txz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz z (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 23050500
+0 0 0 0 0 5 5 1 23050501
+0 0 0 0 0 5 5 2 23050502
+0 0 0 0 0 5 5 3 23050503
+0 0 0 0 0 5 5 4 23050504
+0 0 0 0 0 5 5 5 23050505
+0 0 0 0 0 5 5 6 23050506
+0 0 0 0 0 5 5 7 23050507
+0 0 0 0 0 5 5 8 23050508
+0 0 0 0 0 5 5 9 23050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -23050503
+1 0 0 0 0 5 5 1 -23050502
+1 0 0 0 0 5 5 2 23050502
+1 0 0 0 0 5 5 3 23050503
+1 0 0 0 0 5 5 4 23050504
+1 0 0 0 0 5 5 5 23050505
+1 0 0 0 0 5 5 6 23050506
+1 0 0 0 0 5 5 7 23050507
+1 0 0 0 0 5 5 8 23050508
+1 0 0 0 0 5 5 9 23050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/tyy.xl b/CarpetAttic/Cart3dTest/test/bitant/tyy.xl
new file mode 100644
index 000000000..e6d2a0f09
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/tyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy x (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 24000502
+0 0 0 0 0 1 5 2 24010502
+0 0 0 0 0 2 5 2 24020502
+0 0 0 0 0 3 5 2 24030502
+0 0 0 0 0 4 5 2 24040502
+0 0 0 0 0 5 5 2 24050502
+0 0 0 0 0 6 5 2 24060502
+0 0 0 0 0 7 5 2 24070502
+0 0 0 0 0 8 5 2 24080502
+0 0 0 0 0 9 5 2 24090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 24000502
+1 0 0 0 0 1 5 2 24010502
+1 0 0 0 0 2 5 2 24020502
+1 0 0 0 0 3 5 2 24030502
+1 0 0 0 0 4 5 2 24040502
+1 0 0 0 0 5 5 2 24050502
+1 0 0 0 0 6 5 2 24060502
+1 0 0 0 0 7 5 2 24070502
+1 0 0 0 0 8 5 2 24080502
+1 0 0 0 0 9 5 2 24090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/tyy.yl b/CarpetAttic/Cart3dTest/test/bitant/tyy.yl
new file mode 100644
index 000000000..f3689adbc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/tyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy y (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 24050002
+0 0 0 0 0 5 1 2 24050102
+0 0 0 0 0 5 2 2 24050202
+0 0 0 0 0 5 3 2 24050302
+0 0 0 0 0 5 4 2 24050402
+0 0 0 0 0 5 5 2 24050502
+0 0 0 0 0 5 6 2 24050602
+0 0 0 0 0 5 7 2 24050702
+0 0 0 0 0 5 8 2 24050802
+0 0 0 0 0 5 9 2 24050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 24050002
+1 0 0 0 0 5 1 2 24050102
+1 0 0 0 0 5 2 2 24050202
+1 0 0 0 0 5 3 2 24050302
+1 0 0 0 0 5 4 2 24050402
+1 0 0 0 0 5 5 2 24050502
+1 0 0 0 0 5 6 2 24050602
+1 0 0 0 0 5 7 2 24050702
+1 0 0 0 0 5 8 2 24050802
+1 0 0 0 0 5 9 2 24050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/tyy.zl b/CarpetAttic/Cart3dTest/test/bitant/tyy.zl
new file mode 100644
index 000000000..959fbb5a3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/tyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy z (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 24050500
+0 0 0 0 0 5 5 1 24050501
+0 0 0 0 0 5 5 2 24050502
+0 0 0 0 0 5 5 3 24050503
+0 0 0 0 0 5 5 4 24050504
+0 0 0 0 0 5 5 5 24050505
+0 0 0 0 0 5 5 6 24050506
+0 0 0 0 0 5 5 7 24050507
+0 0 0 0 0 5 5 8 24050508
+0 0 0 0 0 5 5 9 24050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 24050503
+1 0 0 0 0 5 5 1 24050502
+1 0 0 0 0 5 5 2 24050502
+1 0 0 0 0 5 5 3 24050503
+1 0 0 0 0 5 5 4 24050504
+1 0 0 0 0 5 5 5 24050505
+1 0 0 0 0 5 5 6 24050506
+1 0 0 0 0 5 5 7 24050507
+1 0 0 0 0 5 5 8 24050508
+1 0 0 0 0 5 5 9 24050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/tyz.xl b/CarpetAttic/Cart3dTest/test/bitant/tyz.xl
new file mode 100644
index 000000000..d6075fb0e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/tyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz x (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 25000502
+0 0 0 0 0 1 5 2 25010502
+0 0 0 0 0 2 5 2 25020502
+0 0 0 0 0 3 5 2 25030502
+0 0 0 0 0 4 5 2 25040502
+0 0 0 0 0 5 5 2 25050502
+0 0 0 0 0 6 5 2 25060502
+0 0 0 0 0 7 5 2 25070502
+0 0 0 0 0 8 5 2 25080502
+0 0 0 0 0 9 5 2 25090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 25000502
+1 0 0 0 0 1 5 2 25010502
+1 0 0 0 0 2 5 2 25020502
+1 0 0 0 0 3 5 2 25030502
+1 0 0 0 0 4 5 2 25040502
+1 0 0 0 0 5 5 2 25050502
+1 0 0 0 0 6 5 2 25060502
+1 0 0 0 0 7 5 2 25070502
+1 0 0 0 0 8 5 2 25080502
+1 0 0 0 0 9 5 2 25090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/tyz.yl b/CarpetAttic/Cart3dTest/test/bitant/tyz.yl
new file mode 100644
index 000000000..0e370ce86
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/tyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz y (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 25050002
+0 0 0 0 0 5 1 2 25050102
+0 0 0 0 0 5 2 2 25050202
+0 0 0 0 0 5 3 2 25050302
+0 0 0 0 0 5 4 2 25050402
+0 0 0 0 0 5 5 2 25050502
+0 0 0 0 0 5 6 2 25050602
+0 0 0 0 0 5 7 2 25050702
+0 0 0 0 0 5 8 2 25050802
+0 0 0 0 0 5 9 2 25050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 25050002
+1 0 0 0 0 5 1 2 25050102
+1 0 0 0 0 5 2 2 25050202
+1 0 0 0 0 5 3 2 25050302
+1 0 0 0 0 5 4 2 25050402
+1 0 0 0 0 5 5 2 25050502
+1 0 0 0 0 5 6 2 25050602
+1 0 0 0 0 5 7 2 25050702
+1 0 0 0 0 5 8 2 25050802
+1 0 0 0 0 5 9 2 25050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/tyz.zl b/CarpetAttic/Cart3dTest/test/bitant/tyz.zl
new file mode 100644
index 000000000..c6b21906f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/tyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz z (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 25050500
+0 0 0 0 0 5 5 1 25050501
+0 0 0 0 0 5 5 2 25050502
+0 0 0 0 0 5 5 3 25050503
+0 0 0 0 0 5 5 4 25050504
+0 0 0 0 0 5 5 5 25050505
+0 0 0 0 0 5 5 6 25050506
+0 0 0 0 0 5 5 7 25050507
+0 0 0 0 0 5 5 8 25050508
+0 0 0 0 0 5 5 9 25050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -25050503
+1 0 0 0 0 5 5 1 -25050502
+1 0 0 0 0 5 5 2 25050502
+1 0 0 0 0 5 5 3 25050503
+1 0 0 0 0 5 5 4 25050504
+1 0 0 0 0 5 5 5 25050505
+1 0 0 0 0 5 5 6 25050506
+1 0 0 0 0 5 5 7 25050507
+1 0 0 0 0 5 5 8 25050508
+1 0 0 0 0 5 5 9 25050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/tzz.xl b/CarpetAttic/Cart3dTest/test/bitant/tzz.xl
new file mode 100644
index 000000000..6a6693415
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/tzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz x (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 26000502
+0 0 0 0 0 1 5 2 26010502
+0 0 0 0 0 2 5 2 26020502
+0 0 0 0 0 3 5 2 26030502
+0 0 0 0 0 4 5 2 26040502
+0 0 0 0 0 5 5 2 26050502
+0 0 0 0 0 6 5 2 26060502
+0 0 0 0 0 7 5 2 26070502
+0 0 0 0 0 8 5 2 26080502
+0 0 0 0 0 9 5 2 26090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 26000502
+1 0 0 0 0 1 5 2 26010502
+1 0 0 0 0 2 5 2 26020502
+1 0 0 0 0 3 5 2 26030502
+1 0 0 0 0 4 5 2 26040502
+1 0 0 0 0 5 5 2 26050502
+1 0 0 0 0 6 5 2 26060502
+1 0 0 0 0 7 5 2 26070502
+1 0 0 0 0 8 5 2 26080502
+1 0 0 0 0 9 5 2 26090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/tzz.yl b/CarpetAttic/Cart3dTest/test/bitant/tzz.yl
new file mode 100644
index 000000000..284ebfe33
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/tzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz y (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 26050002
+0 0 0 0 0 5 1 2 26050102
+0 0 0 0 0 5 2 2 26050202
+0 0 0 0 0 5 3 2 26050302
+0 0 0 0 0 5 4 2 26050402
+0 0 0 0 0 5 5 2 26050502
+0 0 0 0 0 5 6 2 26050602
+0 0 0 0 0 5 7 2 26050702
+0 0 0 0 0 5 8 2 26050802
+0 0 0 0 0 5 9 2 26050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 26050002
+1 0 0 0 0 5 1 2 26050102
+1 0 0 0 0 5 2 2 26050202
+1 0 0 0 0 5 3 2 26050302
+1 0 0 0 0 5 4 2 26050402
+1 0 0 0 0 5 5 2 26050502
+1 0 0 0 0 5 6 2 26050602
+1 0 0 0 0 5 7 2 26050702
+1 0 0 0 0 5 8 2 26050802
+1 0 0 0 0 5 9 2 26050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/tzz.zl b/CarpetAttic/Cart3dTest/test/bitant/tzz.zl
new file mode 100644
index 000000000..d83404bd5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/tzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz z (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 26050500
+0 0 0 0 0 5 5 1 26050501
+0 0 0 0 0 5 5 2 26050502
+0 0 0 0 0 5 5 3 26050503
+0 0 0 0 0 5 5 4 26050504
+0 0 0 0 0 5 5 5 26050505
+0 0 0 0 0 5 5 6 26050506
+0 0 0 0 0 5 5 7 26050507
+0 0 0 0 0 5 5 8 26050508
+0 0 0 0 0 5 5 9 26050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 26050503
+1 0 0 0 0 5 5 1 26050502
+1 0 0 0 0 5 5 2 26050502
+1 0 0 0 0 5 5 3 26050503
+1 0 0 0 0 5 5 4 26050504
+1 0 0 0 0 5 5 5 26050505
+1 0 0 0 0 5 5 6 26050506
+1 0 0 0 0 5 5 7 26050507
+1 0 0 0 0 5 5 8 26050508
+1 0 0 0 0 5 5 9 26050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/vx.xl b/CarpetAttic/Cart3dTest/test/bitant/vx.xl
new file mode 100644
index 000000000..f94c0a207
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/vx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 11000502
+0 0 0 0 0 1 5 2 11010502
+0 0 0 0 0 2 5 2 11020502
+0 0 0 0 0 3 5 2 11030502
+0 0 0 0 0 4 5 2 11040502
+0 0 0 0 0 5 5 2 11050502
+0 0 0 0 0 6 5 2 11060502
+0 0 0 0 0 7 5 2 11070502
+0 0 0 0 0 8 5 2 11080502
+0 0 0 0 0 9 5 2 11090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 11000502
+1 0 0 0 0 1 5 2 11010502
+1 0 0 0 0 2 5 2 11020502
+1 0 0 0 0 3 5 2 11030502
+1 0 0 0 0 4 5 2 11040502
+1 0 0 0 0 5 5 2 11050502
+1 0 0 0 0 6 5 2 11060502
+1 0 0 0 0 7 5 2 11070502
+1 0 0 0 0 8 5 2 11080502
+1 0 0 0 0 9 5 2 11090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/vx.yl b/CarpetAttic/Cart3dTest/test/bitant/vx.yl
new file mode 100644
index 000000000..a09629e86
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/vx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 11050002
+0 0 0 0 0 5 1 2 11050102
+0 0 0 0 0 5 2 2 11050202
+0 0 0 0 0 5 3 2 11050302
+0 0 0 0 0 5 4 2 11050402
+0 0 0 0 0 5 5 2 11050502
+0 0 0 0 0 5 6 2 11050602
+0 0 0 0 0 5 7 2 11050702
+0 0 0 0 0 5 8 2 11050802
+0 0 0 0 0 5 9 2 11050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 11050002
+1 0 0 0 0 5 1 2 11050102
+1 0 0 0 0 5 2 2 11050202
+1 0 0 0 0 5 3 2 11050302
+1 0 0 0 0 5 4 2 11050402
+1 0 0 0 0 5 5 2 11050502
+1 0 0 0 0 5 6 2 11050602
+1 0 0 0 0 5 7 2 11050702
+1 0 0 0 0 5 8 2 11050802
+1 0 0 0 0 5 9 2 11050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/vx.zl b/CarpetAttic/Cart3dTest/test/bitant/vx.zl
new file mode 100644
index 000000000..f9a980e5a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/vx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 11050500
+0 0 0 0 0 5 5 1 11050501
+0 0 0 0 0 5 5 2 11050502
+0 0 0 0 0 5 5 3 11050503
+0 0 0 0 0 5 5 4 11050504
+0 0 0 0 0 5 5 5 11050505
+0 0 0 0 0 5 5 6 11050506
+0 0 0 0 0 5 5 7 11050507
+0 0 0 0 0 5 5 8 11050508
+0 0 0 0 0 5 5 9 11050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 11050503
+1 0 0 0 0 5 5 1 11050502
+1 0 0 0 0 5 5 2 11050502
+1 0 0 0 0 5 5 3 11050503
+1 0 0 0 0 5 5 4 11050504
+1 0 0 0 0 5 5 5 11050505
+1 0 0 0 0 5 5 6 11050506
+1 0 0 0 0 5 5 7 11050507
+1 0 0 0 0 5 5 8 11050508
+1 0 0 0 0 5 5 9 11050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/vy.xl b/CarpetAttic/Cart3dTest/test/bitant/vy.xl
new file mode 100644
index 000000000..2a77d06ac
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/vy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 12000502
+0 0 0 0 0 1 5 2 12010502
+0 0 0 0 0 2 5 2 12020502
+0 0 0 0 0 3 5 2 12030502
+0 0 0 0 0 4 5 2 12040502
+0 0 0 0 0 5 5 2 12050502
+0 0 0 0 0 6 5 2 12060502
+0 0 0 0 0 7 5 2 12070502
+0 0 0 0 0 8 5 2 12080502
+0 0 0 0 0 9 5 2 12090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 12000502
+1 0 0 0 0 1 5 2 12010502
+1 0 0 0 0 2 5 2 12020502
+1 0 0 0 0 3 5 2 12030502
+1 0 0 0 0 4 5 2 12040502
+1 0 0 0 0 5 5 2 12050502
+1 0 0 0 0 6 5 2 12060502
+1 0 0 0 0 7 5 2 12070502
+1 0 0 0 0 8 5 2 12080502
+1 0 0 0 0 9 5 2 12090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/vy.yl b/CarpetAttic/Cart3dTest/test/bitant/vy.yl
new file mode 100644
index 000000000..c270e8b15
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/vy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 12050002
+0 0 0 0 0 5 1 2 12050102
+0 0 0 0 0 5 2 2 12050202
+0 0 0 0 0 5 3 2 12050302
+0 0 0 0 0 5 4 2 12050402
+0 0 0 0 0 5 5 2 12050502
+0 0 0 0 0 5 6 2 12050602
+0 0 0 0 0 5 7 2 12050702
+0 0 0 0 0 5 8 2 12050802
+0 0 0 0 0 5 9 2 12050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 12050002
+1 0 0 0 0 5 1 2 12050102
+1 0 0 0 0 5 2 2 12050202
+1 0 0 0 0 5 3 2 12050302
+1 0 0 0 0 5 4 2 12050402
+1 0 0 0 0 5 5 2 12050502
+1 0 0 0 0 5 6 2 12050602
+1 0 0 0 0 5 7 2 12050702
+1 0 0 0 0 5 8 2 12050802
+1 0 0 0 0 5 9 2 12050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/vy.zl b/CarpetAttic/Cart3dTest/test/bitant/vy.zl
new file mode 100644
index 000000000..5b2cfc59b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/vy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 12050500
+0 0 0 0 0 5 5 1 12050501
+0 0 0 0 0 5 5 2 12050502
+0 0 0 0 0 5 5 3 12050503
+0 0 0 0 0 5 5 4 12050504
+0 0 0 0 0 5 5 5 12050505
+0 0 0 0 0 5 5 6 12050506
+0 0 0 0 0 5 5 7 12050507
+0 0 0 0 0 5 5 8 12050508
+0 0 0 0 0 5 5 9 12050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 12050503
+1 0 0 0 0 5 5 1 12050502
+1 0 0 0 0 5 5 2 12050502
+1 0 0 0 0 5 5 3 12050503
+1 0 0 0 0 5 5 4 12050504
+1 0 0 0 0 5 5 5 12050505
+1 0 0 0 0 5 5 6 12050506
+1 0 0 0 0 5 5 7 12050507
+1 0 0 0 0 5 5 8 12050508
+1 0 0 0 0 5 5 9 12050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/vz.xl b/CarpetAttic/Cart3dTest/test/bitant/vz.xl
new file mode 100644
index 000000000..76d749a6a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/vz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 13000502
+0 0 0 0 0 1 5 2 13010502
+0 0 0 0 0 2 5 2 13020502
+0 0 0 0 0 3 5 2 13030502
+0 0 0 0 0 4 5 2 13040502
+0 0 0 0 0 5 5 2 13050502
+0 0 0 0 0 6 5 2 13060502
+0 0 0 0 0 7 5 2 13070502
+0 0 0 0 0 8 5 2 13080502
+0 0 0 0 0 9 5 2 13090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 13000502
+1 0 0 0 0 1 5 2 13010502
+1 0 0 0 0 2 5 2 13020502
+1 0 0 0 0 3 5 2 13030502
+1 0 0 0 0 4 5 2 13040502
+1 0 0 0 0 5 5 2 13050502
+1 0 0 0 0 6 5 2 13060502
+1 0 0 0 0 7 5 2 13070502
+1 0 0 0 0 8 5 2 13080502
+1 0 0 0 0 9 5 2 13090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/vz.yl b/CarpetAttic/Cart3dTest/test/bitant/vz.yl
new file mode 100644
index 000000000..85d7292d6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/vz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 13050002
+0 0 0 0 0 5 1 2 13050102
+0 0 0 0 0 5 2 2 13050202
+0 0 0 0 0 5 3 2 13050302
+0 0 0 0 0 5 4 2 13050402
+0 0 0 0 0 5 5 2 13050502
+0 0 0 0 0 5 6 2 13050602
+0 0 0 0 0 5 7 2 13050702
+0 0 0 0 0 5 8 2 13050802
+0 0 0 0 0 5 9 2 13050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 13050002
+1 0 0 0 0 5 1 2 13050102
+1 0 0 0 0 5 2 2 13050202
+1 0 0 0 0 5 3 2 13050302
+1 0 0 0 0 5 4 2 13050402
+1 0 0 0 0 5 5 2 13050502
+1 0 0 0 0 5 6 2 13050602
+1 0 0 0 0 5 7 2 13050702
+1 0 0 0 0 5 8 2 13050802
+1 0 0 0 0 5 9 2 13050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/bitant/vz.zl b/CarpetAttic/Cart3dTest/test/bitant/vz.zl
new file mode 100644
index 000000000..2431ae181
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/bitant/vz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 13050500
+0 0 0 0 0 5 5 1 13050501
+0 0 0 0 0 5 5 2 13050502
+0 0 0 0 0 5 5 3 13050503
+0 0 0 0 0 5 5 4 13050504
+0 0 0 0 0 5 5 5 13050505
+0 0 0 0 0 5 5 6 13050506
+0 0 0 0 0 5 5 7 13050507
+0 0 0 0 0 5 5 8 13050508
+0 0 0 0 0 5 5 9 13050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -13050503
+1 0 0 0 0 5 5 1 -13050502
+1 0 0 0 0 5 5 2 13050502
+1 0 0 0 0 5 5 3 13050503
+1 0 0 0 0 5 5 4 13050504
+1 0 0 0 0 5 5 5 13050505
+1 0 0 0 0 5 5 6 13050506
+1 0 0 0 0 5 5 7 13050507
+1 0 0 0 0 5 5 8 13050508
+1 0 0 0 0 5 5 9 13050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin.log b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin.log
new file mode 100644
index 000000000..1882424e0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin.log
@@ -0,0 +1,81 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[10,10,10]:[1,1,1])
+interior=([0,1,2]:[10,9,8]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[10,0,10]:[1,1,1]),([0,1,0]:[10,9,1]:[1,1,1]),([0,10,0]:[10,10,10]:[1,1,1]),([0,1,9]:[10,9,10]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[10,0,10]:[1,1,1]),([0,1,0]:[10,9,1]:[1,1,1]),([0,10,0]:[10,10,10]:[1,1,1]),([0,1,9]:[10,9,10]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[10,10,10]:[1,1,1])
+interior=([0,1,2]:[10,9,8]:[1,1,1])
+boundaries={([0,0,0]:[10,0,10]:[1,1,1]),([0,1,0]:[10,9,1]:[1,1,1]),([0,10,0]:[10,10,10]:[1,1,1]),([0,1,9]:[10,9,10]:[1,1,1])}
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin.par b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin.par
new file mode 100644
index 000000000..c6089b0f6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin.par
@@ -0,0 +1,22 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin.par,v 1.4 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 0
+
+grid::type = "byspacing"
+
+grid::avoid_origin = "no"
+
+driver::global_nx = 11
+driver::global_ny = 11
+driver::global_nz = 11
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "byspacing-eleven-withorigin"
+IOASCII::out1D_vars = "grid::coordinates"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_x.xl
new file mode 100644
index 000000000..f63099708
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_x.xl
@@ -0,0 +1,19 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 -1.5
+0 0 0 0 0 1 5 5 -1.2
+0 0 0 0 0 2 5 5 -0.9
+0 0 0 0 0 3 5 5 -0.6
+0 0 0 0 0 4 5 5 -0.3
+0 0 0 0 0 5 5 5 -5.55111512312578e-17
+0 0 0 0 0 6 5 5 0.3
+0 0 0 0 0 7 5 5 0.6
+0 0 0 0 0 8 5 5 0.9
+0 0 0 0 0 9 5 5 1.2
+0 0 0 0 0 10 5 5 1.5
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_x.yl
new file mode 100644
index 000000000..201f809d0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_x.yl
@@ -0,0 +1,19 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 -5.55111512312578e-17
+0 0 0 0 0 5 1 5 -5.55111512312578e-17
+0 0 0 0 0 5 2 5 -5.55111512312578e-17
+0 0 0 0 0 5 3 5 -5.55111512312578e-17
+0 0 0 0 0 5 4 5 -5.55111512312578e-17
+0 0 0 0 0 5 5 5 -5.55111512312578e-17
+0 0 0 0 0 5 6 5 -5.55111512312578e-17
+0 0 0 0 0 5 7 5 -5.55111512312578e-17
+0 0 0 0 0 5 8 5 -5.55111512312578e-17
+0 0 0 0 0 5 9 5 -5.55111512312578e-17
+0 0 0 0 0 5 10 5 -5.55111512312578e-17
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_x.zl
new file mode 100644
index 000000000..d71d3f95a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_x.zl
@@ -0,0 +1,19 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 -5.55111512312578e-17
+0 0 0 0 0 5 5 1 -5.55111512312578e-17
+0 0 0 0 0 5 5 2 -5.55111512312578e-17
+0 0 0 0 0 5 5 3 -5.55111512312578e-17
+0 0 0 0 0 5 5 4 -5.55111512312578e-17
+0 0 0 0 0 5 5 5 -5.55111512312578e-17
+0 0 0 0 0 5 5 6 -5.55111512312578e-17
+0 0 0 0 0 5 5 7 -5.55111512312578e-17
+0 0 0 0 0 5 5 8 -5.55111512312578e-17
+0 0 0 0 0 5 5 9 -5.55111512312578e-17
+0 0 0 0 0 5 5 10 -5.55111512312578e-17
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_y.xl
new file mode 100644
index 000000000..af92033b6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_y.xl
@@ -0,0 +1,19 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 -5.55111512312578e-17
+0 0 0 0 0 1 5 5 -5.55111512312578e-17
+0 0 0 0 0 2 5 5 -5.55111512312578e-17
+0 0 0 0 0 3 5 5 -5.55111512312578e-17
+0 0 0 0 0 4 5 5 -5.55111512312578e-17
+0 0 0 0 0 5 5 5 -5.55111512312578e-17
+0 0 0 0 0 6 5 5 -5.55111512312578e-17
+0 0 0 0 0 7 5 5 -5.55111512312578e-17
+0 0 0 0 0 8 5 5 -5.55111512312578e-17
+0 0 0 0 0 9 5 5 -5.55111512312578e-17
+0 0 0 0 0 10 5 5 -5.55111512312578e-17
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_y.yl
new file mode 100644
index 000000000..08726411d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_y.yl
@@ -0,0 +1,19 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 -1.5
+0 0 0 0 0 5 1 5 -1.2
+0 0 0 0 0 5 2 5 -0.9
+0 0 0 0 0 5 3 5 -0.6
+0 0 0 0 0 5 4 5 -0.3
+0 0 0 0 0 5 5 5 -5.55111512312578e-17
+0 0 0 0 0 5 6 5 0.3
+0 0 0 0 0 5 7 5 0.6
+0 0 0 0 0 5 8 5 0.9
+0 0 0 0 0 5 9 5 1.2
+0 0 0 0 0 5 10 5 1.5
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_y.zl
new file mode 100644
index 000000000..6502ac6dc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_y.zl
@@ -0,0 +1,19 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 -5.55111512312578e-17
+0 0 0 0 0 5 5 1 -5.55111512312578e-17
+0 0 0 0 0 5 5 2 -5.55111512312578e-17
+0 0 0 0 0 5 5 3 -5.55111512312578e-17
+0 0 0 0 0 5 5 4 -5.55111512312578e-17
+0 0 0 0 0 5 5 5 -5.55111512312578e-17
+0 0 0 0 0 5 5 6 -5.55111512312578e-17
+0 0 0 0 0 5 5 7 -5.55111512312578e-17
+0 0 0 0 0 5 5 8 -5.55111512312578e-17
+0 0 0 0 0 5 5 9 -5.55111512312578e-17
+0 0 0 0 0 5 5 10 -5.55111512312578e-17
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_z.xl
new file mode 100644
index 000000000..328bca7ea
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_z.xl
@@ -0,0 +1,19 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 -5.55111512312578e-17
+0 0 0 0 0 1 5 5 -5.55111512312578e-17
+0 0 0 0 0 2 5 5 -5.55111512312578e-17
+0 0 0 0 0 3 5 5 -5.55111512312578e-17
+0 0 0 0 0 4 5 5 -5.55111512312578e-17
+0 0 0 0 0 5 5 5 -5.55111512312578e-17
+0 0 0 0 0 6 5 5 -5.55111512312578e-17
+0 0 0 0 0 7 5 5 -5.55111512312578e-17
+0 0 0 0 0 8 5 5 -5.55111512312578e-17
+0 0 0 0 0 9 5 5 -5.55111512312578e-17
+0 0 0 0 0 10 5 5 -5.55111512312578e-17
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_z.yl
new file mode 100644
index 000000000..3ef82c136
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_z.yl
@@ -0,0 +1,19 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 -5.55111512312578e-17
+0 0 0 0 0 5 1 5 -5.55111512312578e-17
+0 0 0 0 0 5 2 5 -5.55111512312578e-17
+0 0 0 0 0 5 3 5 -5.55111512312578e-17
+0 0 0 0 0 5 4 5 -5.55111512312578e-17
+0 0 0 0 0 5 5 5 -5.55111512312578e-17
+0 0 0 0 0 5 6 5 -5.55111512312578e-17
+0 0 0 0 0 5 7 5 -5.55111512312578e-17
+0 0 0 0 0 5 8 5 -5.55111512312578e-17
+0 0 0 0 0 5 9 5 -5.55111512312578e-17
+0 0 0 0 0 5 10 5 -5.55111512312578e-17
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_z.zl
new file mode 100644
index 000000000..d451859ca
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/cart3d_z.zl
@@ -0,0 +1,19 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 -1.5
+0 0 0 0 0 5 5 1 -1.2
+0 0 0 0 0 5 5 2 -0.9
+0 0 0 0 0 5 5 3 -0.6
+0 0 0 0 0 5 5 4 -0.3
+0 0 0 0 0 5 5 5 -5.55111512312578e-17
+0 0 0 0 0 5 5 6 0.3
+0 0 0 0 0 5 5 7 0.6
+0 0 0 0 0 5 5 8 0.9
+0 0 0 0 0 5 5 9 1.2
+0 0 0 0 0 5 5 10 1.5
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/spher3d_r.xl
new file mode 100644
index 000000000..2bc9c21e8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/spher3d_r.xl
@@ -0,0 +1,19 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 1.5
+0 0 0 0 0 1 5 5 1.2
+0 0 0 0 0 2 5 5 0.9
+0 0 0 0 0 3 5 5 0.6
+0 0 0 0 0 4 5 5 0.3
+0 0 0 0 0 5 5 5 9.61481343191782e-17
+0 0 0 0 0 6 5 5 0.3
+0 0 0 0 0 7 5 5 0.6
+0 0 0 0 0 8 5 5 0.9
+0 0 0 0 0 9 5 5 1.2
+0 0 0 0 0 10 5 5 1.5
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/spher3d_r.yl
new file mode 100644
index 000000000..f605f05c5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/spher3d_r.yl
@@ -0,0 +1,19 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 1.5
+0 0 0 0 0 5 1 5 1.2
+0 0 0 0 0 5 2 5 0.9
+0 0 0 0 0 5 3 5 0.6
+0 0 0 0 0 5 4 5 0.3
+0 0 0 0 0 5 5 5 9.61481343191782e-17
+0 0 0 0 0 5 6 5 0.3
+0 0 0 0 0 5 7 5 0.6
+0 0 0 0 0 5 8 5 0.9
+0 0 0 0 0 5 9 5 1.2
+0 0 0 0 0 5 10 5 1.5
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/spher3d_r.zl
new file mode 100644
index 000000000..029764bb4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven-withorigin/spher3d_r.zl
@@ -0,0 +1,19 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 1.5
+0 0 0 0 0 5 5 1 1.2
+0 0 0 0 0 5 5 2 0.9
+0 0 0 0 0 5 5 3 0.6
+0 0 0 0 0 5 5 4 0.3
+0 0 0 0 0 5 5 5 9.61481343191782e-17
+0 0 0 0 0 5 5 6 0.3
+0 0 0 0 0 5 5 7 0.6
+0 0 0 0 0 5 5 8 0.9
+0 0 0 0 0 5 5 9 1.2
+0 0 0 0 0 5 5 10 1.5
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven.log b/CarpetAttic/Cart3dTest/test/byspacing-eleven.log
new file mode 100644
index 000000000..1882424e0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven.log
@@ -0,0 +1,81 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[10,10,10]:[1,1,1])
+interior=([0,1,2]:[10,9,8]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[10,0,10]:[1,1,1]),([0,1,0]:[10,9,1]:[1,1,1]),([0,10,0]:[10,10,10]:[1,1,1]),([0,1,9]:[10,9,10]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[10,0,10]:[1,1,1]),([0,1,0]:[10,9,1]:[1,1,1]),([0,10,0]:[10,10,10]:[1,1,1]),([0,1,9]:[10,9,10]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[10,10,10]:[1,1,1])
+interior=([0,1,2]:[10,9,8]:[1,1,1])
+boundaries={([0,0,0]:[10,0,10]:[1,1,1]),([0,1,0]:[10,9,1]:[1,1,1]),([0,10,0]:[10,10,10]:[1,1,1]),([0,1,9]:[10,9,10]:[1,1,1])}
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven.par b/CarpetAttic/Cart3dTest/test/byspacing-eleven.par
new file mode 100644
index 000000000..913c335f3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven.par
@@ -0,0 +1,20 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/byspacing-eleven.par,v 1.4 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 0
+
+grid::type = "byspacing"
+
+driver::global_nx = 11
+driver::global_ny = 11
+driver::global_nz = 11
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "byspacing-eleven"
+IOASCII::out1D_vars = "grid::coordinates"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_x.xl
new file mode 100644
index 000000000..53b3e689d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_x.xl
@@ -0,0 +1,19 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 -1.35
+0 0 0 0 0 1 5 5 -1.05
+0 0 0 0 0 2 5 5 -0.75
+0 0 0 0 0 3 5 5 -0.45
+0 0 0 0 0 4 5 5 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.45
+0 0 0 0 0 7 5 5 0.75
+0 0 0 0 0 8 5 5 1.05
+0 0 0 0 0 9 5 5 1.35
+0 0 0 0 0 10 5 5 1.65
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_x.yl
new file mode 100644
index 000000000..74b67ba4b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_x.yl
@@ -0,0 +1,19 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 2 5 0.15
+0 0 0 0 0 5 3 5 0.15
+0 0 0 0 0 5 4 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.15
+0 0 0 0 0 5 7 5 0.15
+0 0 0 0 0 5 8 5 0.15
+0 0 0 0 0 5 9 5 0.15
+0 0 0 0 0 5 10 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_x.zl
new file mode 100644
index 000000000..644637da4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_x.zl
@@ -0,0 +1,19 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.15
+0 0 0 0 0 5 5 1 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 5 3 0.15
+0 0 0 0 0 5 5 4 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.15
+0 0 0 0 0 5 5 7 0.15
+0 0 0 0 0 5 5 8 0.15
+0 0 0 0 0 5 5 9 0.15
+0 0 0 0 0 5 5 10 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_y.xl
new file mode 100644
index 000000000..50a646b41
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_y.xl
@@ -0,0 +1,19 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 1 5 5 0.15
+0 0 0 0 0 2 5 5 0.15
+0 0 0 0 0 3 5 5 0.15
+0 0 0 0 0 4 5 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.15
+0 0 0 0 0 7 5 5 0.15
+0 0 0 0 0 8 5 5 0.15
+0 0 0 0 0 9 5 5 0.15
+0 0 0 0 0 10 5 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_y.yl
new file mode 100644
index 000000000..f473f055a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_y.yl
@@ -0,0 +1,19 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 -1.35
+0 0 0 0 0 5 1 5 -1.05
+0 0 0 0 0 5 2 5 -0.75
+0 0 0 0 0 5 3 5 -0.45
+0 0 0 0 0 5 4 5 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.45
+0 0 0 0 0 5 7 5 0.75
+0 0 0 0 0 5 8 5 1.05
+0 0 0 0 0 5 9 5 1.35
+0 0 0 0 0 5 10 5 1.65
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_y.zl
new file mode 100644
index 000000000..51935fcfc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_y.zl
@@ -0,0 +1,19 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.15
+0 0 0 0 0 5 5 1 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 5 3 0.15
+0 0 0 0 0 5 5 4 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.15
+0 0 0 0 0 5 5 7 0.15
+0 0 0 0 0 5 5 8 0.15
+0 0 0 0 0 5 5 9 0.15
+0 0 0 0 0 5 5 10 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_z.xl
new file mode 100644
index 000000000..1f08315f3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_z.xl
@@ -0,0 +1,19 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 1 5 5 0.15
+0 0 0 0 0 2 5 5 0.15
+0 0 0 0 0 3 5 5 0.15
+0 0 0 0 0 4 5 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.15
+0 0 0 0 0 7 5 5 0.15
+0 0 0 0 0 8 5 5 0.15
+0 0 0 0 0 9 5 5 0.15
+0 0 0 0 0 10 5 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_z.yl
new file mode 100644
index 000000000..1463c5179
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_z.yl
@@ -0,0 +1,19 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 2 5 0.15
+0 0 0 0 0 5 3 5 0.15
+0 0 0 0 0 5 4 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.15
+0 0 0 0 0 5 7 5 0.15
+0 0 0 0 0 5 8 5 0.15
+0 0 0 0 0 5 9 5 0.15
+0 0 0 0 0 5 10 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_z.zl
new file mode 100644
index 000000000..ad5c39153
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven/cart3d_z.zl
@@ -0,0 +1,19 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 -1.35
+0 0 0 0 0 5 5 1 -1.05
+0 0 0 0 0 5 5 2 -0.75
+0 0 0 0 0 5 5 3 -0.45
+0 0 0 0 0 5 5 4 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.45
+0 0 0 0 0 5 5 7 0.75
+0 0 0 0 0 5 5 8 1.05
+0 0 0 0 0 5 5 9 1.35
+0 0 0 0 0 5 5 10 1.65
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/byspacing-eleven/spher3d_r.xl
new file mode 100644
index 000000000..4ef5d491b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven/spher3d_r.xl
@@ -0,0 +1,19 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 1.36656503687164
+0 0 0 0 0 1 5 5 1.07121426428143
+0 0 0 0 0 2 5 5 0.779422863405995
+0 0 0 0 0 3 5 5 0.49749371855331
+0 0 0 0 0 4 5 5 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135331
+0 0 0 0 0 6 5 5 0.49749371855331
+0 0 0 0 0 7 5 5 0.779422863405995
+0 0 0 0 0 8 5 5 1.07121426428143
+0 0 0 0 0 9 5 5 1.36656503687164
+0 0 0 0 0 10 5 5 1.66358047596141
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/byspacing-eleven/spher3d_r.yl
new file mode 100644
index 000000000..59495776e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven/spher3d_r.yl
@@ -0,0 +1,19 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 1.36656503687164
+0 0 0 0 0 5 1 5 1.07121426428143
+0 0 0 0 0 5 2 5 0.779422863405995
+0 0 0 0 0 5 3 5 0.49749371855331
+0 0 0 0 0 5 4 5 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135331
+0 0 0 0 0 5 6 5 0.49749371855331
+0 0 0 0 0 5 7 5 0.779422863405995
+0 0 0 0 0 5 8 5 1.07121426428143
+0 0 0 0 0 5 9 5 1.36656503687164
+0 0 0 0 0 5 10 5 1.66358047596141
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-eleven/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/byspacing-eleven/spher3d_r.zl
new file mode 100644
index 000000000..8bc04312c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-eleven/spher3d_r.zl
@@ -0,0 +1,19 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 1.36656503687164
+0 0 0 0 0 5 5 1 1.07121426428143
+0 0 0 0 0 5 5 2 0.779422863405995
+0 0 0 0 0 5 5 3 0.49749371855331
+0 0 0 0 0 5 5 4 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135331
+0 0 0 0 0 5 5 6 0.49749371855331
+0 0 0 0 0 5 5 7 0.779422863405995
+0 0 0 0 0 5 5 8 1.07121426428143
+0 0 0 0 0 5 5 9 1.36656503687164
+0 0 0 0 0 5 5 10 1.66358047596141
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-nonegative.log b/CarpetAttic/Cart3dTest/test/byspacing-nonegative.log
new file mode 100644
index 000000000..8b02f3bdb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-nonegative.log
@@ -0,0 +1,81 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-nonegative.par b/CarpetAttic/Cart3dTest/test/byspacing-nonegative.par
new file mode 100644
index 000000000..476a33239
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-nonegative.par
@@ -0,0 +1,18 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/byspacing-nonegative.par,v 1.4 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 0
+
+grid::type = "byspacing"
+
+grid::avoid_negative_xyz = "yes"
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "byspacing-nonegative"
+IOASCII::out1D_vars = "grid::coordinates"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_x.xl
new file mode 100644
index 000000000..900564445
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_x.xl
@@ -0,0 +1,18 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 1 1 2 0.45
+0 0 0 0 0 2 1 2 0.75
+0 0 0 0 0 3 1 2 1.05
+0 0 0 0 0 4 1 2 1.35
+0 0 0 0 0 5 1 2 1.65
+0 0 0 0 0 6 1 2 1.95
+0 0 0 0 0 7 1 2 2.25
+0 0 0 0 0 8 1 2 2.55
+0 0 0 0 0 9 1 2 2.85
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_x.yl
new file mode 100644
index 000000000..f38ec033f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_x.yl
@@ -0,0 +1,18 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 2 2 0.15
+0 0 0 0 0 0 3 2 0.15
+0 0 0 0 0 0 4 2 0.15
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 0 6 2 0.15
+0 0 0 0 0 0 7 2 0.15
+0 0 0 0 0 0 8 2 0.15
+0 0 0 0 0 0 9 2 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_x.zl
new file mode 100644
index 000000000..b6a30ac0a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_x.zl
@@ -0,0 +1,18 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 0.15
+0 0 0 0 0 0 1 1 0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 1 3 0.15
+0 0 0 0 0 0 1 4 0.15
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 0 1 6 0.15
+0 0 0 0 0 0 1 7 0.15
+0 0 0 0 0 0 1 8 0.15
+0 0 0 0 0 0 1 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_y.xl
new file mode 100644
index 000000000..d820ac099
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_y.xl
@@ -0,0 +1,18 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 1 1 2 0.15
+0 0 0 0 0 2 1 2 0.15
+0 0 0 0 0 3 1 2 0.15
+0 0 0 0 0 4 1 2 0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 6 1 2 0.15
+0 0 0 0 0 7 1 2 0.15
+0 0 0 0 0 8 1 2 0.15
+0 0 0 0 0 9 1 2 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_y.yl
new file mode 100644
index 000000000..add6c62f4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_y.yl
@@ -0,0 +1,18 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 -0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 2 2 0.45
+0 0 0 0 0 0 3 2 0.75
+0 0 0 0 0 0 4 2 1.05
+0 0 0 0 0 0 5 2 1.35
+0 0 0 0 0 0 6 2 1.65
+0 0 0 0 0 0 7 2 1.95
+0 0 0 0 0 0 8 2 2.25
+0 0 0 0 0 0 9 2 2.55
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_y.zl
new file mode 100644
index 000000000..b944c0b91
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_y.zl
@@ -0,0 +1,18 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 0.15
+0 0 0 0 0 0 1 1 0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 1 3 0.15
+0 0 0 0 0 0 1 4 0.15
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 0 1 6 0.15
+0 0 0 0 0 0 1 7 0.15
+0 0 0 0 0 0 1 8 0.15
+0 0 0 0 0 0 1 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_z.xl
new file mode 100644
index 000000000..e84a2b123
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_z.xl
@@ -0,0 +1,18 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 1 1 2 0.15
+0 0 0 0 0 2 1 2 0.15
+0 0 0 0 0 3 1 2 0.15
+0 0 0 0 0 4 1 2 0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 6 1 2 0.15
+0 0 0 0 0 7 1 2 0.15
+0 0 0 0 0 8 1 2 0.15
+0 0 0 0 0 9 1 2 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_z.yl
new file mode 100644
index 000000000..4f53de718
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_z.yl
@@ -0,0 +1,18 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 2 2 0.15
+0 0 0 0 0 0 3 2 0.15
+0 0 0 0 0 0 4 2 0.15
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 0 6 2 0.15
+0 0 0 0 0 0 7 2 0.15
+0 0 0 0 0 0 8 2 0.15
+0 0 0 0 0 0 9 2 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_z.zl
new file mode 100644
index 000000000..eca52f8d2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/cart3d_z.zl
@@ -0,0 +1,18 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 -0.45
+0 0 0 0 0 0 1 1 -0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 1 3 0.45
+0 0 0 0 0 0 1 4 0.75
+0 0 0 0 0 0 1 5 1.05
+0 0 0 0 0 0 1 6 1.35
+0 0 0 0 0 0 1 7 1.65
+0 0 0 0 0 0 1 8 1.95
+0 0 0 0 0 0 1 9 2.25
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-nonegative/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/spher3d_r.xl
new file mode 100644
index 000000000..431d4bc2a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/spher3d_r.xl
@@ -0,0 +1,18 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0.259807621135332
+0 0 0 0 0 1 1 2 0.49749371855331
+0 0 0 0 0 2 1 2 0.779422863405995
+0 0 0 0 0 3 1 2 1.07121426428143
+0 0 0 0 0 4 1 2 1.36656503687164
+0 0 0 0 0 5 1 2 1.66358047596141
+0 0 0 0 0 6 1 2 1.9615045245933
+0 0 0 0 0 7 1 2 2.2599778759979
+0 0 0 0 0 8 1 2 2.5588083163848
+0 0 0 0 0 9 1 2 2.85788383248865
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-nonegative/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/spher3d_r.yl
new file mode 100644
index 000000000..75365dbdd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/spher3d_r.yl
@@ -0,0 +1,18 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 0.259807621135332
+0 0 0 0 0 0 1 2 0.259807621135332
+0 0 0 0 0 0 2 2 0.49749371855331
+0 0 0 0 0 0 3 2 0.779422863405995
+0 0 0 0 0 0 4 2 1.07121426428143
+0 0 0 0 0 0 5 2 1.36656503687164
+0 0 0 0 0 0 6 2 1.66358047596141
+0 0 0 0 0 0 7 2 1.9615045245933
+0 0 0 0 0 0 8 2 2.2599778759979
+0 0 0 0 0 0 9 2 2.5588083163848
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-nonegative/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/spher3d_r.zl
new file mode 100644
index 000000000..e4b888973
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-nonegative/spher3d_r.zl
@@ -0,0 +1,18 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 0.49749371855331
+0 0 0 0 0 0 1 1 0.259807621135332
+0 0 0 0 0 0 1 2 0.259807621135332
+0 0 0 0 0 0 1 3 0.49749371855331
+0 0 0 0 0 0 1 4 0.779422863405995
+0 0 0 0 0 0 1 5 1.07121426428143
+0 0 0 0 0 0 1 6 1.36656503687164
+0 0 0 0 0 0 1 7 1.66358047596141
+0 0 0 0 0 0 1 8 1.9615045245933
+0 0 0 0 0 0 1 9 2.2599778759979
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative.log b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative.log
new file mode 100644
index 000000000..8b02f3bdb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative.log
@@ -0,0 +1,81 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative.par b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative.par
new file mode 100644
index 000000000..9421b471e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative.par
@@ -0,0 +1,19 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative.par,v 1.4 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 0
+
+grid::type = "byspacing"
+
+grid::avoid_origin = "no"
+grid::avoid_negative_xyz = "yes"
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "byspacing-withorigin-nonegative"
+IOASCII::out1D_vars = "grid::coordinates"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_x.xl
new file mode 100644
index 000000000..bc925f6c1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_x.xl
@@ -0,0 +1,18 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 1 1 2 0.3
+0 0 0 0 0 2 1 2 0.6
+0 0 0 0 0 3 1 2 0.9
+0 0 0 0 0 4 1 2 1.2
+0 0 0 0 0 5 1 2 1.5
+0 0 0 0 0 6 1 2 1.8
+0 0 0 0 0 7 1 2 2.1
+0 0 0 0 0 8 1 2 2.4
+0 0 0 0 0 9 1 2 2.7
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_x.yl
new file mode 100644
index 000000000..fbe8fbec0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_x.yl
@@ -0,0 +1,18 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 0
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 0 2 2 0
+0 0 0 0 0 0 3 2 0
+0 0 0 0 0 0 4 2 0
+0 0 0 0 0 0 5 2 0
+0 0 0 0 0 0 6 2 0
+0 0 0 0 0 0 7 2 0
+0 0 0 0 0 0 8 2 0
+0 0 0 0 0 0 9 2 0
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_x.zl
new file mode 100644
index 000000000..196d91dc1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_x.zl
@@ -0,0 +1,18 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 0
+0 0 0 0 0 0 1 1 0
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 0 1 3 0
+0 0 0 0 0 0 1 4 0
+0 0 0 0 0 0 1 5 0
+0 0 0 0 0 0 1 6 0
+0 0 0 0 0 0 1 7 0
+0 0 0 0 0 0 1 8 0
+0 0 0 0 0 0 1 9 0
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_y.xl
new file mode 100644
index 000000000..a7d22bb90
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_y.xl
@@ -0,0 +1,18 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 1 1 2 0
+0 0 0 0 0 2 1 2 0
+0 0 0 0 0 3 1 2 0
+0 0 0 0 0 4 1 2 0
+0 0 0 0 0 5 1 2 0
+0 0 0 0 0 6 1 2 0
+0 0 0 0 0 7 1 2 0
+0 0 0 0 0 8 1 2 0
+0 0 0 0 0 9 1 2 0
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_y.yl
new file mode 100644
index 000000000..da656b1de
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_y.yl
@@ -0,0 +1,18 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 -0.3
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 0 2 2 0.3
+0 0 0 0 0 0 3 2 0.6
+0 0 0 0 0 0 4 2 0.9
+0 0 0 0 0 0 5 2 1.2
+0 0 0 0 0 0 6 2 1.5
+0 0 0 0 0 0 7 2 1.8
+0 0 0 0 0 0 8 2 2.1
+0 0 0 0 0 0 9 2 2.4
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_y.zl
new file mode 100644
index 000000000..f99f654cf
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_y.zl
@@ -0,0 +1,18 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 0
+0 0 0 0 0 0 1 1 0
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 0 1 3 0
+0 0 0 0 0 0 1 4 0
+0 0 0 0 0 0 1 5 0
+0 0 0 0 0 0 1 6 0
+0 0 0 0 0 0 1 7 0
+0 0 0 0 0 0 1 8 0
+0 0 0 0 0 0 1 9 0
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_z.xl
new file mode 100644
index 000000000..7cab41f96
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_z.xl
@@ -0,0 +1,18 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 1 1 2 0
+0 0 0 0 0 2 1 2 0
+0 0 0 0 0 3 1 2 0
+0 0 0 0 0 4 1 2 0
+0 0 0 0 0 5 1 2 0
+0 0 0 0 0 6 1 2 0
+0 0 0 0 0 7 1 2 0
+0 0 0 0 0 8 1 2 0
+0 0 0 0 0 9 1 2 0
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_z.yl
new file mode 100644
index 000000000..12af98c0c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_z.yl
@@ -0,0 +1,18 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 0
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 0 2 2 0
+0 0 0 0 0 0 3 2 0
+0 0 0 0 0 0 4 2 0
+0 0 0 0 0 0 5 2 0
+0 0 0 0 0 0 6 2 0
+0 0 0 0 0 0 7 2 0
+0 0 0 0 0 0 8 2 0
+0 0 0 0 0 0 9 2 0
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_z.zl
new file mode 100644
index 000000000..9d62560b2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/cart3d_z.zl
@@ -0,0 +1,18 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 -0.6
+0 0 0 0 0 0 1 1 -0.3
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 0 1 3 0.3
+0 0 0 0 0 0 1 4 0.6
+0 0 0 0 0 0 1 5 0.9
+0 0 0 0 0 0 1 6 1.2
+0 0 0 0 0 0 1 7 1.5
+0 0 0 0 0 0 1 8 1.8
+0 0 0 0 0 0 1 9 2.1
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/spher3d_r.xl
new file mode 100644
index 000000000..0fd7dc05f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/spher3d_r.xl
@@ -0,0 +1,18 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 1 1 2 0.3
+0 0 0 0 0 2 1 2 0.6
+0 0 0 0 0 3 1 2 0.9
+0 0 0 0 0 4 1 2 1.2
+0 0 0 0 0 5 1 2 1.5
+0 0 0 0 0 6 1 2 1.8
+0 0 0 0 0 7 1 2 2.1
+0 0 0 0 0 8 1 2 2.4
+0 0 0 0 0 9 1 2 2.7
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/spher3d_r.yl
new file mode 100644
index 000000000..24c93528c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/spher3d_r.yl
@@ -0,0 +1,18 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 0.3
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 0 2 2 0.3
+0 0 0 0 0 0 3 2 0.6
+0 0 0 0 0 0 4 2 0.9
+0 0 0 0 0 0 5 2 1.2
+0 0 0 0 0 0 6 2 1.5
+0 0 0 0 0 0 7 2 1.8
+0 0 0 0 0 0 8 2 2.1
+0 0 0 0 0 0 9 2 2.4
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/spher3d_r.zl
new file mode 100644
index 000000000..8469e050f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin-nonegative/spher3d_r.zl
@@ -0,0 +1,18 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 0.6
+0 0 0 0 0 0 1 1 0.3
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 0 1 3 0.3
+0 0 0 0 0 0 1 4 0.6
+0 0 0 0 0 0 1 5 0.9
+0 0 0 0 0 0 1 6 1.2
+0 0 0 0 0 0 1 7 1.5
+0 0 0 0 0 0 1 8 1.8
+0 0 0 0 0 0 1 9 2.1
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin.log b/CarpetAttic/Cart3dTest/test/byspacing-withorigin.log
new file mode 100644
index 000000000..8b02f3bdb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin.log
@@ -0,0 +1,81 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin.par b/CarpetAttic/Cart3dTest/test/byspacing-withorigin.par
new file mode 100644
index 000000000..4dd8dd2be
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin.par
@@ -0,0 +1,18 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/byspacing-withorigin.par,v 1.4 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 0
+
+grid::type = "byspacing"
+
+grid::avoid_origin = "no"
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "byspacing-withorigin"
+IOASCII::out1D_vars = "grid::coordinates"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_x.xl
new file mode 100644
index 000000000..d5d38cbbe
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_x.xl
@@ -0,0 +1,18 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 -1.35
+0 0 0 0 0 1 5 5 -1.05
+0 0 0 0 0 2 5 5 -0.75
+0 0 0 0 0 3 5 5 -0.45
+0 0 0 0 0 4 5 5 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.45
+0 0 0 0 0 7 5 5 0.75
+0 0 0 0 0 8 5 5 1.05
+0 0 0 0 0 9 5 5 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_x.yl
new file mode 100644
index 000000000..665b73681
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_x.yl
@@ -0,0 +1,18 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 2 5 0.15
+0 0 0 0 0 5 3 5 0.15
+0 0 0 0 0 5 4 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.15
+0 0 0 0 0 5 7 5 0.15
+0 0 0 0 0 5 8 5 0.15
+0 0 0 0 0 5 9 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_x.zl
new file mode 100644
index 000000000..09ee6b874
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_x.zl
@@ -0,0 +1,18 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.15
+0 0 0 0 0 5 5 1 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 5 3 0.15
+0 0 0 0 0 5 5 4 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.15
+0 0 0 0 0 5 5 7 0.15
+0 0 0 0 0 5 5 8 0.15
+0 0 0 0 0 5 5 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_y.xl
new file mode 100644
index 000000000..37fcce4ba
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_y.xl
@@ -0,0 +1,18 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 1 5 5 0.15
+0 0 0 0 0 2 5 5 0.15
+0 0 0 0 0 3 5 5 0.15
+0 0 0 0 0 4 5 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.15
+0 0 0 0 0 7 5 5 0.15
+0 0 0 0 0 8 5 5 0.15
+0 0 0 0 0 9 5 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_y.yl
new file mode 100644
index 000000000..5265df213
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_y.yl
@@ -0,0 +1,18 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 -1.35
+0 0 0 0 0 5 1 5 -1.05
+0 0 0 0 0 5 2 5 -0.75
+0 0 0 0 0 5 3 5 -0.45
+0 0 0 0 0 5 4 5 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.45
+0 0 0 0 0 5 7 5 0.75
+0 0 0 0 0 5 8 5 1.05
+0 0 0 0 0 5 9 5 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_y.zl
new file mode 100644
index 000000000..e6cc63da4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_y.zl
@@ -0,0 +1,18 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.15
+0 0 0 0 0 5 5 1 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 5 3 0.15
+0 0 0 0 0 5 5 4 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.15
+0 0 0 0 0 5 5 7 0.15
+0 0 0 0 0 5 5 8 0.15
+0 0 0 0 0 5 5 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_z.xl
new file mode 100644
index 000000000..794ff4bda
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_z.xl
@@ -0,0 +1,18 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 1 5 5 0.15
+0 0 0 0 0 2 5 5 0.15
+0 0 0 0 0 3 5 5 0.15
+0 0 0 0 0 4 5 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.15
+0 0 0 0 0 7 5 5 0.15
+0 0 0 0 0 8 5 5 0.15
+0 0 0 0 0 9 5 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_z.yl
new file mode 100644
index 000000000..40b7c7597
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_z.yl
@@ -0,0 +1,18 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 2 5 0.15
+0 0 0 0 0 5 3 5 0.15
+0 0 0 0 0 5 4 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.15
+0 0 0 0 0 5 7 5 0.15
+0 0 0 0 0 5 8 5 0.15
+0 0 0 0 0 5 9 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_z.zl
new file mode 100644
index 000000000..871d1c096
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/cart3d_z.zl
@@ -0,0 +1,18 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 -1.35
+0 0 0 0 0 5 5 1 -1.05
+0 0 0 0 0 5 5 2 -0.75
+0 0 0 0 0 5 5 3 -0.45
+0 0 0 0 0 5 5 4 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.45
+0 0 0 0 0 5 5 7 0.75
+0 0 0 0 0 5 5 8 1.05
+0 0 0 0 0 5 5 9 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/spher3d_r.xl
new file mode 100644
index 000000000..276828ef4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/spher3d_r.xl
@@ -0,0 +1,18 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 1.36656503687164
+0 0 0 0 0 1 5 5 1.07121426428143
+0 0 0 0 0 2 5 5 0.779422863405995
+0 0 0 0 0 3 5 5 0.49749371855331
+0 0 0 0 0 4 5 5 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135332
+0 0 0 0 0 6 5 5 0.49749371855331
+0 0 0 0 0 7 5 5 0.779422863405995
+0 0 0 0 0 8 5 5 1.07121426428143
+0 0 0 0 0 9 5 5 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/spher3d_r.yl
new file mode 100644
index 000000000..4347028ff
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/spher3d_r.yl
@@ -0,0 +1,18 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 1.36656503687164
+0 0 0 0 0 5 1 5 1.07121426428143
+0 0 0 0 0 5 2 5 0.779422863405995
+0 0 0 0 0 5 3 5 0.49749371855331
+0 0 0 0 0 5 4 5 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135332
+0 0 0 0 0 5 6 5 0.49749371855331
+0 0 0 0 0 5 7 5 0.779422863405995
+0 0 0 0 0 5 8 5 1.07121426428143
+0 0 0 0 0 5 9 5 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing-withorigin/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/spher3d_r.zl
new file mode 100644
index 000000000..bb92445e0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing-withorigin/spher3d_r.zl
@@ -0,0 +1,18 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 1.36656503687164
+0 0 0 0 0 5 5 1 1.07121426428143
+0 0 0 0 0 5 5 2 0.779422863405995
+0 0 0 0 0 5 5 3 0.49749371855331
+0 0 0 0 0 5 5 4 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135332
+0 0 0 0 0 5 5 6 0.49749371855331
+0 0 0 0 0 5 5 7 0.779422863405995
+0 0 0 0 0 5 5 8 1.07121426428143
+0 0 0 0 0 5 5 9 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing.log b/CarpetAttic/Cart3dTest/test/byspacing.log
new file mode 100644
index 000000000..8b02f3bdb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing.log
@@ -0,0 +1,81 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/byspacing.par b/CarpetAttic/Cart3dTest/test/byspacing.par
new file mode 100644
index 000000000..f9e815395
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing.par
@@ -0,0 +1,16 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/byspacing.par,v 1.4 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 0
+
+grid::type = "byspacing"
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "byspacing"
+IOASCII::out1D_vars = "grid::coordinates"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/byspacing/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/byspacing/cart3d_x.xl
new file mode 100644
index 000000000..d5d38cbbe
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing/cart3d_x.xl
@@ -0,0 +1,18 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 -1.35
+0 0 0 0 0 1 5 5 -1.05
+0 0 0 0 0 2 5 5 -0.75
+0 0 0 0 0 3 5 5 -0.45
+0 0 0 0 0 4 5 5 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.45
+0 0 0 0 0 7 5 5 0.75
+0 0 0 0 0 8 5 5 1.05
+0 0 0 0 0 9 5 5 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/byspacing/cart3d_x.yl
new file mode 100644
index 000000000..665b73681
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing/cart3d_x.yl
@@ -0,0 +1,18 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 2 5 0.15
+0 0 0 0 0 5 3 5 0.15
+0 0 0 0 0 5 4 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.15
+0 0 0 0 0 5 7 5 0.15
+0 0 0 0 0 5 8 5 0.15
+0 0 0 0 0 5 9 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/byspacing/cart3d_x.zl
new file mode 100644
index 000000000..09ee6b874
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing/cart3d_x.zl
@@ -0,0 +1,18 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.15
+0 0 0 0 0 5 5 1 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 5 3 0.15
+0 0 0 0 0 5 5 4 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.15
+0 0 0 0 0 5 5 7 0.15
+0 0 0 0 0 5 5 8 0.15
+0 0 0 0 0 5 5 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/byspacing/cart3d_y.xl
new file mode 100644
index 000000000..37fcce4ba
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing/cart3d_y.xl
@@ -0,0 +1,18 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 1 5 5 0.15
+0 0 0 0 0 2 5 5 0.15
+0 0 0 0 0 3 5 5 0.15
+0 0 0 0 0 4 5 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.15
+0 0 0 0 0 7 5 5 0.15
+0 0 0 0 0 8 5 5 0.15
+0 0 0 0 0 9 5 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/byspacing/cart3d_y.yl
new file mode 100644
index 000000000..5265df213
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing/cart3d_y.yl
@@ -0,0 +1,18 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 -1.35
+0 0 0 0 0 5 1 5 -1.05
+0 0 0 0 0 5 2 5 -0.75
+0 0 0 0 0 5 3 5 -0.45
+0 0 0 0 0 5 4 5 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.45
+0 0 0 0 0 5 7 5 0.75
+0 0 0 0 0 5 8 5 1.05
+0 0 0 0 0 5 9 5 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/byspacing/cart3d_y.zl
new file mode 100644
index 000000000..e6cc63da4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing/cart3d_y.zl
@@ -0,0 +1,18 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.15
+0 0 0 0 0 5 5 1 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 5 3 0.15
+0 0 0 0 0 5 5 4 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.15
+0 0 0 0 0 5 5 7 0.15
+0 0 0 0 0 5 5 8 0.15
+0 0 0 0 0 5 5 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/byspacing/cart3d_z.xl
new file mode 100644
index 000000000..794ff4bda
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing/cart3d_z.xl
@@ -0,0 +1,18 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 1 5 5 0.15
+0 0 0 0 0 2 5 5 0.15
+0 0 0 0 0 3 5 5 0.15
+0 0 0 0 0 4 5 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.15
+0 0 0 0 0 7 5 5 0.15
+0 0 0 0 0 8 5 5 0.15
+0 0 0 0 0 9 5 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/byspacing/cart3d_z.yl
new file mode 100644
index 000000000..40b7c7597
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing/cart3d_z.yl
@@ -0,0 +1,18 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 2 5 0.15
+0 0 0 0 0 5 3 5 0.15
+0 0 0 0 0 5 4 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.15
+0 0 0 0 0 5 7 5 0.15
+0 0 0 0 0 5 8 5 0.15
+0 0 0 0 0 5 9 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/byspacing/cart3d_z.zl
new file mode 100644
index 000000000..871d1c096
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing/cart3d_z.zl
@@ -0,0 +1,18 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 -1.35
+0 0 0 0 0 5 5 1 -1.05
+0 0 0 0 0 5 5 2 -0.75
+0 0 0 0 0 5 5 3 -0.45
+0 0 0 0 0 5 5 4 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.45
+0 0 0 0 0 5 5 7 0.75
+0 0 0 0 0 5 5 8 1.05
+0 0 0 0 0 5 5 9 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/byspacing/spher3d_r.xl
new file mode 100644
index 000000000..276828ef4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing/spher3d_r.xl
@@ -0,0 +1,18 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 1.36656503687164
+0 0 0 0 0 1 5 5 1.07121426428143
+0 0 0 0 0 2 5 5 0.779422863405995
+0 0 0 0 0 3 5 5 0.49749371855331
+0 0 0 0 0 4 5 5 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135332
+0 0 0 0 0 6 5 5 0.49749371855331
+0 0 0 0 0 7 5 5 0.779422863405995
+0 0 0 0 0 8 5 5 1.07121426428143
+0 0 0 0 0 9 5 5 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/byspacing/spher3d_r.yl
new file mode 100644
index 000000000..4347028ff
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing/spher3d_r.yl
@@ -0,0 +1,18 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 1.36656503687164
+0 0 0 0 0 5 1 5 1.07121426428143
+0 0 0 0 0 5 2 5 0.779422863405995
+0 0 0 0 0 5 3 5 0.49749371855331
+0 0 0 0 0 5 4 5 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135332
+0 0 0 0 0 5 6 5 0.49749371855331
+0 0 0 0 0 5 7 5 0.779422863405995
+0 0 0 0 0 5 8 5 1.07121426428143
+0 0 0 0 0 5 9 5 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/byspacing/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/byspacing/spher3d_r.zl
new file mode 100644
index 000000000..bb92445e0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/byspacing/spher3d_r.zl
@@ -0,0 +1,18 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 1.36656503687164
+0 0 0 0 0 5 5 1 1.07121426428143
+0 0 0 0 0 5 5 2 0.779422863405995
+0 0 0 0 0 5 5 3 0.49749371855331
+0 0 0 0 0 5 5 4 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135332
+0 0 0 0 0 5 5 6 0.49749371855331
+0 0 0 0 0 5 5 7 0.779422863405995
+0 0 0 0 0 5 5 8 1.07121426428143
+0 0 0 0 0 5 5 9 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/eleven.log b/CarpetAttic/Cart3dTest/test/eleven.log
new file mode 100644
index 000000000..1882424e0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/eleven.log
@@ -0,0 +1,81 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[10,10,10]:[1,1,1])
+interior=([0,1,2]:[10,9,8]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[10,0,10]:[1,1,1]),([0,1,0]:[10,9,1]:[1,1,1]),([0,10,0]:[10,10,10]:[1,1,1]),([0,1,9]:[10,9,10]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[10,0,10]:[1,1,1]),([0,1,0]:[10,9,1]:[1,1,1]),([0,10,0]:[10,10,10]:[1,1,1]),([0,1,9]:[10,9,10]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[10,10,10]:[1,1,1])
+interior=([0,1,2]:[10,9,8]:[1,1,1])
+boundaries={([0,0,0]:[10,0,10]:[1,1,1]),([0,1,0]:[10,9,1]:[1,1,1]),([0,10,0]:[10,10,10]:[1,1,1]),([0,1,9]:[10,9,10]:[1,1,1])}
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/eleven.par b/CarpetAttic/Cart3dTest/test/eleven.par
new file mode 100644
index 000000000..b3c99b25b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/eleven.par
@@ -0,0 +1,18 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/eleven.par,v 1.4 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 0
+
+driver::global_nx = 11
+driver::global_ny = 11
+driver::global_nz = 11
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "eleven"
+IOASCII::out1D_vars = "grid::coordinates"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/eleven/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/eleven/cart3d_x.xl
new file mode 100644
index 000000000..5849f3b54
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/eleven/cart3d_x.xl
@@ -0,0 +1,19 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 -0.5
+0 0 0 0 0 1 5 5 -0.4
+0 0 0 0 0 2 5 5 -0.3
+0 0 0 0 0 3 5 5 -0.2
+0 0 0 0 0 4 5 5 -0.1
+0 0 0 0 0 5 5 5 2.77555756156289e-17
+0 0 0 0 0 6 5 5 0.1
+0 0 0 0 0 7 5 5 0.2
+0 0 0 0 0 8 5 5 0.3
+0 0 0 0 0 9 5 5 0.4
+0 0 0 0 0 10 5 5 0.5
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/eleven/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/eleven/cart3d_x.yl
new file mode 100644
index 000000000..5f4dd9b6f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/eleven/cart3d_x.yl
@@ -0,0 +1,19 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 2.77555756156289e-17
+0 0 0 0 0 5 1 5 2.77555756156289e-17
+0 0 0 0 0 5 2 5 2.77555756156289e-17
+0 0 0 0 0 5 3 5 2.77555756156289e-17
+0 0 0 0 0 5 4 5 2.77555756156289e-17
+0 0 0 0 0 5 5 5 2.77555756156289e-17
+0 0 0 0 0 5 6 5 2.77555756156289e-17
+0 0 0 0 0 5 7 5 2.77555756156289e-17
+0 0 0 0 0 5 8 5 2.77555756156289e-17
+0 0 0 0 0 5 9 5 2.77555756156289e-17
+0 0 0 0 0 5 10 5 2.77555756156289e-17
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/eleven/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/eleven/cart3d_x.zl
new file mode 100644
index 000000000..d7f99e14a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/eleven/cart3d_x.zl
@@ -0,0 +1,19 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 2.77555756156289e-17
+0 0 0 0 0 5 5 1 2.77555756156289e-17
+0 0 0 0 0 5 5 2 2.77555756156289e-17
+0 0 0 0 0 5 5 3 2.77555756156289e-17
+0 0 0 0 0 5 5 4 2.77555756156289e-17
+0 0 0 0 0 5 5 5 2.77555756156289e-17
+0 0 0 0 0 5 5 6 2.77555756156289e-17
+0 0 0 0 0 5 5 7 2.77555756156289e-17
+0 0 0 0 0 5 5 8 2.77555756156289e-17
+0 0 0 0 0 5 5 9 2.77555756156289e-17
+0 0 0 0 0 5 5 10 2.77555756156289e-17
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/eleven/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/eleven/cart3d_y.xl
new file mode 100644
index 000000000..c68100399
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/eleven/cart3d_y.xl
@@ -0,0 +1,19 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 2.77555756156289e-17
+0 0 0 0 0 1 5 5 2.77555756156289e-17
+0 0 0 0 0 2 5 5 2.77555756156289e-17
+0 0 0 0 0 3 5 5 2.77555756156289e-17
+0 0 0 0 0 4 5 5 2.77555756156289e-17
+0 0 0 0 0 5 5 5 2.77555756156289e-17
+0 0 0 0 0 6 5 5 2.77555756156289e-17
+0 0 0 0 0 7 5 5 2.77555756156289e-17
+0 0 0 0 0 8 5 5 2.77555756156289e-17
+0 0 0 0 0 9 5 5 2.77555756156289e-17
+0 0 0 0 0 10 5 5 2.77555756156289e-17
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/eleven/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/eleven/cart3d_y.yl
new file mode 100644
index 000000000..32890fcac
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/eleven/cart3d_y.yl
@@ -0,0 +1,19 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 -0.5
+0 0 0 0 0 5 1 5 -0.4
+0 0 0 0 0 5 2 5 -0.3
+0 0 0 0 0 5 3 5 -0.2
+0 0 0 0 0 5 4 5 -0.1
+0 0 0 0 0 5 5 5 2.77555756156289e-17
+0 0 0 0 0 5 6 5 0.1
+0 0 0 0 0 5 7 5 0.2
+0 0 0 0 0 5 8 5 0.3
+0 0 0 0 0 5 9 5 0.4
+0 0 0 0 0 5 10 5 0.5
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/eleven/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/eleven/cart3d_y.zl
new file mode 100644
index 000000000..8904a610c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/eleven/cart3d_y.zl
@@ -0,0 +1,19 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 2.77555756156289e-17
+0 0 0 0 0 5 5 1 2.77555756156289e-17
+0 0 0 0 0 5 5 2 2.77555756156289e-17
+0 0 0 0 0 5 5 3 2.77555756156289e-17
+0 0 0 0 0 5 5 4 2.77555756156289e-17
+0 0 0 0 0 5 5 5 2.77555756156289e-17
+0 0 0 0 0 5 5 6 2.77555756156289e-17
+0 0 0 0 0 5 5 7 2.77555756156289e-17
+0 0 0 0 0 5 5 8 2.77555756156289e-17
+0 0 0 0 0 5 5 9 2.77555756156289e-17
+0 0 0 0 0 5 5 10 2.77555756156289e-17
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/eleven/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/eleven/cart3d_z.xl
new file mode 100644
index 000000000..c2642a797
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/eleven/cart3d_z.xl
@@ -0,0 +1,19 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 2.77555756156289e-17
+0 0 0 0 0 1 5 5 2.77555756156289e-17
+0 0 0 0 0 2 5 5 2.77555756156289e-17
+0 0 0 0 0 3 5 5 2.77555756156289e-17
+0 0 0 0 0 4 5 5 2.77555756156289e-17
+0 0 0 0 0 5 5 5 2.77555756156289e-17
+0 0 0 0 0 6 5 5 2.77555756156289e-17
+0 0 0 0 0 7 5 5 2.77555756156289e-17
+0 0 0 0 0 8 5 5 2.77555756156289e-17
+0 0 0 0 0 9 5 5 2.77555756156289e-17
+0 0 0 0 0 10 5 5 2.77555756156289e-17
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/eleven/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/eleven/cart3d_z.yl
new file mode 100644
index 000000000..9c4f6763f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/eleven/cart3d_z.yl
@@ -0,0 +1,19 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 2.77555756156289e-17
+0 0 0 0 0 5 1 5 2.77555756156289e-17
+0 0 0 0 0 5 2 5 2.77555756156289e-17
+0 0 0 0 0 5 3 5 2.77555756156289e-17
+0 0 0 0 0 5 4 5 2.77555756156289e-17
+0 0 0 0 0 5 5 5 2.77555756156289e-17
+0 0 0 0 0 5 6 5 2.77555756156289e-17
+0 0 0 0 0 5 7 5 2.77555756156289e-17
+0 0 0 0 0 5 8 5 2.77555756156289e-17
+0 0 0 0 0 5 9 5 2.77555756156289e-17
+0 0 0 0 0 5 10 5 2.77555756156289e-17
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/eleven/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/eleven/cart3d_z.zl
new file mode 100644
index 000000000..341843533
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/eleven/cart3d_z.zl
@@ -0,0 +1,19 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 -0.5
+0 0 0 0 0 5 5 1 -0.4
+0 0 0 0 0 5 5 2 -0.3
+0 0 0 0 0 5 5 3 -0.2
+0 0 0 0 0 5 5 4 -0.1
+0 0 0 0 0 5 5 5 2.77555756156289e-17
+0 0 0 0 0 5 5 6 0.1
+0 0 0 0 0 5 5 7 0.2
+0 0 0 0 0 5 5 8 0.3
+0 0 0 0 0 5 5 9 0.4
+0 0 0 0 0 5 5 10 0.5
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/eleven/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/eleven/spher3d_r.xl
new file mode 100644
index 000000000..33caa2b0d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/eleven/spher3d_r.xl
@@ -0,0 +1,19 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.5
+0 0 0 0 0 1 5 5 0.4
+0 0 0 0 0 2 5 5 0.3
+0 0 0 0 0 3 5 5 0.2
+0 0 0 0 0 4 5 5 0.1
+0 0 0 0 0 5 5 5 4.80740671595891e-17
+0 0 0 0 0 6 5 5 0.1
+0 0 0 0 0 7 5 5 0.2
+0 0 0 0 0 8 5 5 0.3
+0 0 0 0 0 9 5 5 0.4
+0 0 0 0 0 10 5 5 0.5
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/eleven/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/eleven/spher3d_r.yl
new file mode 100644
index 000000000..6e9b1925c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/eleven/spher3d_r.yl
@@ -0,0 +1,19 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.5
+0 0 0 0 0 5 1 5 0.4
+0 0 0 0 0 5 2 5 0.3
+0 0 0 0 0 5 3 5 0.2
+0 0 0 0 0 5 4 5 0.1
+0 0 0 0 0 5 5 5 4.80740671595891e-17
+0 0 0 0 0 5 6 5 0.1
+0 0 0 0 0 5 7 5 0.2
+0 0 0 0 0 5 8 5 0.3
+0 0 0 0 0 5 9 5 0.4
+0 0 0 0 0 5 10 5 0.5
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/eleven/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/eleven/spher3d_r.zl
new file mode 100644
index 000000000..e3b906a7f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/eleven/spher3d_r.zl
@@ -0,0 +1,19 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.5
+0 0 0 0 0 5 5 1 0.4
+0 0 0 0 0 5 5 2 0.3
+0 0 0 0 0 5 5 3 0.2
+0 0 0 0 0 5 5 4 0.1
+0 0 0 0 0 5 5 5 4.80740671595891e-17
+0 0 0 0 0 5 5 6 0.1
+0 0 0 0 0 5 5 7 0.2
+0 0 0 0 0 5 5 8 0.3
+0 0 0 0 0 5 5 9 0.4
+0 0 0 0 0 5 5 10 0.5
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/ghosts.log b/CarpetAttic/Cart3dTest/test/ghosts.log
new file mode 100644
index 000000000..8b02f3bdb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/ghosts.log
@@ -0,0 +1,81 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/ghosts.par b/CarpetAttic/Cart3dTest/test/ghosts.par
new file mode 100644
index 000000000..6eeef69d9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/ghosts.par
@@ -0,0 +1,14 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/ghosts.par,v 1.4 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 0
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "ghosts"
+IOASCII::out1D_vars = "grid::coordinates"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/ghosts/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/ghosts/cart3d_x.xl
new file mode 100644
index 000000000..514360e24
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/ghosts/cart3d_x.xl
@@ -0,0 +1,18 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 -0.5
+0 0 0 0 0 1 5 5 -0.388888888888889
+0 0 0 0 0 2 5 5 -0.277777777777778
+0 0 0 0 0 3 5 5 -0.166666666666667
+0 0 0 0 0 4 5 5 -0.0555555555555556
+0 0 0 0 0 5 5 5 0.0555555555555555
+0 0 0 0 0 6 5 5 0.166666666666667
+0 0 0 0 0 7 5 5 0.277777777777778
+0 0 0 0 0 8 5 5 0.388888888888889
+0 0 0 0 0 9 5 5 0.5
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/ghosts/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/ghosts/cart3d_x.yl
new file mode 100644
index 000000000..9878432a6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/ghosts/cart3d_x.yl
@@ -0,0 +1,18 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.0555555555555555
+0 0 0 0 0 5 1 5 0.0555555555555555
+0 0 0 0 0 5 2 5 0.0555555555555555
+0 0 0 0 0 5 3 5 0.0555555555555555
+0 0 0 0 0 5 4 5 0.0555555555555555
+0 0 0 0 0 5 5 5 0.0555555555555555
+0 0 0 0 0 5 6 5 0.0555555555555555
+0 0 0 0 0 5 7 5 0.0555555555555555
+0 0 0 0 0 5 8 5 0.0555555555555555
+0 0 0 0 0 5 9 5 0.0555555555555555
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/ghosts/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/ghosts/cart3d_x.zl
new file mode 100644
index 000000000..a49ec16e5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/ghosts/cart3d_x.zl
@@ -0,0 +1,18 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.0555555555555555
+0 0 0 0 0 5 5 1 0.0555555555555555
+0 0 0 0 0 5 5 2 0.0555555555555555
+0 0 0 0 0 5 5 3 0.0555555555555555
+0 0 0 0 0 5 5 4 0.0555555555555555
+0 0 0 0 0 5 5 5 0.0555555555555555
+0 0 0 0 0 5 5 6 0.0555555555555555
+0 0 0 0 0 5 5 7 0.0555555555555555
+0 0 0 0 0 5 5 8 0.0555555555555555
+0 0 0 0 0 5 5 9 0.0555555555555555
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/ghosts/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/ghosts/cart3d_y.xl
new file mode 100644
index 000000000..305df91b9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/ghosts/cart3d_y.xl
@@ -0,0 +1,18 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.0555555555555555
+0 0 0 0 0 1 5 5 0.0555555555555555
+0 0 0 0 0 2 5 5 0.0555555555555555
+0 0 0 0 0 3 5 5 0.0555555555555555
+0 0 0 0 0 4 5 5 0.0555555555555555
+0 0 0 0 0 5 5 5 0.0555555555555555
+0 0 0 0 0 6 5 5 0.0555555555555555
+0 0 0 0 0 7 5 5 0.0555555555555555
+0 0 0 0 0 8 5 5 0.0555555555555555
+0 0 0 0 0 9 5 5 0.0555555555555555
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/ghosts/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/ghosts/cart3d_y.yl
new file mode 100644
index 000000000..e48707e3e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/ghosts/cart3d_y.yl
@@ -0,0 +1,18 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 -0.5
+0 0 0 0 0 5 1 5 -0.388888888888889
+0 0 0 0 0 5 2 5 -0.277777777777778
+0 0 0 0 0 5 3 5 -0.166666666666667
+0 0 0 0 0 5 4 5 -0.0555555555555556
+0 0 0 0 0 5 5 5 0.0555555555555555
+0 0 0 0 0 5 6 5 0.166666666666667
+0 0 0 0 0 5 7 5 0.277777777777778
+0 0 0 0 0 5 8 5 0.388888888888889
+0 0 0 0 0 5 9 5 0.5
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/ghosts/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/ghosts/cart3d_y.zl
new file mode 100644
index 000000000..87aa406c3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/ghosts/cart3d_y.zl
@@ -0,0 +1,18 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.0555555555555555
+0 0 0 0 0 5 5 1 0.0555555555555555
+0 0 0 0 0 5 5 2 0.0555555555555555
+0 0 0 0 0 5 5 3 0.0555555555555555
+0 0 0 0 0 5 5 4 0.0555555555555555
+0 0 0 0 0 5 5 5 0.0555555555555555
+0 0 0 0 0 5 5 6 0.0555555555555555
+0 0 0 0 0 5 5 7 0.0555555555555555
+0 0 0 0 0 5 5 8 0.0555555555555555
+0 0 0 0 0 5 5 9 0.0555555555555555
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/ghosts/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/ghosts/cart3d_z.xl
new file mode 100644
index 000000000..43f2286a4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/ghosts/cart3d_z.xl
@@ -0,0 +1,18 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.0555555555555555
+0 0 0 0 0 1 5 5 0.0555555555555555
+0 0 0 0 0 2 5 5 0.0555555555555555
+0 0 0 0 0 3 5 5 0.0555555555555555
+0 0 0 0 0 4 5 5 0.0555555555555555
+0 0 0 0 0 5 5 5 0.0555555555555555
+0 0 0 0 0 6 5 5 0.0555555555555555
+0 0 0 0 0 7 5 5 0.0555555555555555
+0 0 0 0 0 8 5 5 0.0555555555555555
+0 0 0 0 0 9 5 5 0.0555555555555555
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/ghosts/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/ghosts/cart3d_z.yl
new file mode 100644
index 000000000..98832f13a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/ghosts/cart3d_z.yl
@@ -0,0 +1,18 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.0555555555555555
+0 0 0 0 0 5 1 5 0.0555555555555555
+0 0 0 0 0 5 2 5 0.0555555555555555
+0 0 0 0 0 5 3 5 0.0555555555555555
+0 0 0 0 0 5 4 5 0.0555555555555555
+0 0 0 0 0 5 5 5 0.0555555555555555
+0 0 0 0 0 5 6 5 0.0555555555555555
+0 0 0 0 0 5 7 5 0.0555555555555555
+0 0 0 0 0 5 8 5 0.0555555555555555
+0 0 0 0 0 5 9 5 0.0555555555555555
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/ghosts/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/ghosts/cart3d_z.zl
new file mode 100644
index 000000000..d5eb90a96
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/ghosts/cart3d_z.zl
@@ -0,0 +1,18 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 -0.5
+0 0 0 0 0 5 5 1 -0.388888888888889
+0 0 0 0 0 5 5 2 -0.277777777777778
+0 0 0 0 0 5 5 3 -0.166666666666667
+0 0 0 0 0 5 5 4 -0.0555555555555556
+0 0 0 0 0 5 5 5 0.0555555555555555
+0 0 0 0 0 5 5 6 0.166666666666667
+0 0 0 0 0 5 5 7 0.277777777777778
+0 0 0 0 0 5 5 8 0.388888888888889
+0 0 0 0 0 5 5 9 0.5
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/ghosts/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/ghosts/spher3d_r.xl
new file mode 100644
index 000000000..deb988a58
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/ghosts/spher3d_r.xl
@@ -0,0 +1,18 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.50613519884135
+0 0 0 0 0 1 5 5 0.396746023807936
+0 0 0 0 0 2 5 5 0.288675134594813
+0 0 0 0 0 3 5 5 0.184256932797522
+0 0 0 0 0 4 5 5 0.0962250448649376
+0 0 0 0 0 5 5 5 0.0962250448649376
+0 0 0 0 0 6 5 5 0.184256932797522
+0 0 0 0 0 7 5 5 0.288675134594813
+0 0 0 0 0 8 5 5 0.396746023807936
+0 0 0 0 0 9 5 5 0.50613519884135
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/ghosts/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/ghosts/spher3d_r.yl
new file mode 100644
index 000000000..d6c525c9b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/ghosts/spher3d_r.yl
@@ -0,0 +1,18 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.50613519884135
+0 0 0 0 0 5 1 5 0.396746023807936
+0 0 0 0 0 5 2 5 0.288675134594813
+0 0 0 0 0 5 3 5 0.184256932797522
+0 0 0 0 0 5 4 5 0.0962250448649376
+0 0 0 0 0 5 5 5 0.0962250448649376
+0 0 0 0 0 5 6 5 0.184256932797522
+0 0 0 0 0 5 7 5 0.288675134594813
+0 0 0 0 0 5 8 5 0.396746023807936
+0 0 0 0 0 5 9 5 0.50613519884135
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/ghosts/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/ghosts/spher3d_r.zl
new file mode 100644
index 000000000..8f6440db6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/ghosts/spher3d_r.zl
@@ -0,0 +1,18 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.50613519884135
+0 0 0 0 0 5 5 1 0.396746023807936
+0 0 0 0 0 5 5 2 0.288675134594813
+0 0 0 0 0 5 5 3 0.184256932797522
+0 0 0 0 0 5 5 4 0.0962250448649376
+0 0 0 0 0 5 5 5 0.0962250448649376
+0 0 0 0 0 5 5 6 0.184256932797522
+0 0 0 0 0 5 5 7 0.288675134594813
+0 0 0 0 0 5 5 8 0.396746023807936
+0 0 0 0 0 5 5 9 0.50613519884135
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin.log b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin.log
new file mode 100644
index 000000000..1b534744f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin.log
@@ -0,0 +1,82 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[10,10,10]:[1,1,1])
+interior=([0,1,2]:[10,9,8]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[10,0,10]:[1,1,1]),([0,1,0]:[10,9,1]:[1,1,1]),([0,10,0]:[10,10,10]:[1,1,1]),([0,1,9]:[10,9,10]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[10,0,10]:[1,1,1]),([0,1,0]:[10,9,1]:[1,1,1]),([0,10,0]:[10,10,10]:[1,1,1]),([0,1,9]:[10,9,10]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[10,10,10]:[1,1,1])
+interior=([0,1,2]:[10,9,8]:[1,1,1])
+boundaries={([0,0,0]:[10,0,10]:[1,1,1]),([0,1,0]:[10,9,1]:[1,1,1]),([0,10,0]:[10,10,10]:[1,1,1]),([0,1,9]:[10,9,10]:[1,1,1])}
+INFO (Cactus): Creating directory: "octant-eleven-withorigin"
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin.par b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin.par
new file mode 100644
index 000000000..d1140e41c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin.par
@@ -0,0 +1,23 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin.par,v 1.3 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 1
+
+grid::type = "byspacing"
+grid::mode = "octant"
+
+grid::avoid_origin = "no"
+
+driver::global_nx = 11
+driver::global_ny = 11
+driver::global_nz = 11
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "octant-eleven-withorigin"
+IOASCII::out1D_vars = "grid::coordinates Cart3dTest::quantities"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/ax.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/ax.xl
new file mode 100644
index 000000000..a1d748f4f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/ax.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::ax x (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 31000102
+0 0 0 0 0 1 1 2 31010102
+0 0 0 0 0 2 1 2 31020102
+0 0 0 0 0 3 1 2 31030102
+0 0 0 0 0 4 1 2 31040102
+0 0 0 0 0 5 1 2 31050102
+0 0 0 0 0 6 1 2 31060102
+0 0 0 0 0 7 1 2 31070102
+0 0 0 0 0 8 1 2 31080102
+0 0 0 0 0 9 1 2 31090102
+0 0 0 0 0 10 1 2 31100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 31000102
+1 0 0 0 0 1 1 2 31010102
+1 0 0 0 0 2 1 2 31020102
+1 0 0 0 0 3 1 2 31030102
+1 0 0 0 0 4 1 2 31040102
+1 0 0 0 0 5 1 2 31050102
+1 0 0 0 0 6 1 2 31060102
+1 0 0 0 0 7 1 2 31070102
+1 0 0 0 0 8 1 2 31080102
+1 0 0 0 0 9 1 2 31090102
+1 0 0 0 0 10 1 2 31100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/ax.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/ax.yl
new file mode 100644
index 000000000..911b4a4ad
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/ax.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::ax y (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 31000002
+0 0 0 0 0 0 1 2 31000102
+0 0 0 0 0 0 2 2 31000202
+0 0 0 0 0 0 3 2 31000302
+0 0 0 0 0 0 4 2 31000402
+0 0 0 0 0 0 5 2 31000502
+0 0 0 0 0 0 6 2 31000602
+0 0 0 0 0 0 7 2 31000702
+0 0 0 0 0 0 8 2 31000802
+0 0 0 0 0 0 9 2 31000902
+0 0 0 0 0 0 10 2 31001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -31000202
+1 0 0 0 0 0 1 2 31000102
+1 0 0 0 0 0 2 2 31000202
+1 0 0 0 0 0 3 2 31000302
+1 0 0 0 0 0 4 2 31000402
+1 0 0 0 0 0 5 2 31000502
+1 0 0 0 0 0 6 2 31000602
+1 0 0 0 0 0 7 2 31000702
+1 0 0 0 0 0 8 2 31000802
+1 0 0 0 0 0 9 2 31000902
+1 0 0 0 0 0 10 2 31001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/ax.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/ax.zl
new file mode 100644
index 000000000..e6b3d0959
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/ax.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::ax z (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 31000100
+0 0 0 0 0 0 1 1 31000101
+0 0 0 0 0 0 1 2 31000102
+0 0 0 0 0 0 1 3 31000103
+0 0 0 0 0 0 1 4 31000104
+0 0 0 0 0 0 1 5 31000105
+0 0 0 0 0 0 1 6 31000106
+0 0 0 0 0 0 1 7 31000107
+0 0 0 0 0 0 1 8 31000108
+0 0 0 0 0 0 1 9 31000109
+0 0 0 0 0 0 1 10 31000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -31000104
+1 0 0 0 0 0 1 1 -31000103
+1 0 0 0 0 0 1 2 31000102
+1 0 0 0 0 0 1 3 31000103
+1 0 0 0 0 0 1 4 31000104
+1 0 0 0 0 0 1 5 31000105
+1 0 0 0 0 0 1 6 31000106
+1 0 0 0 0 0 1 7 31000107
+1 0 0 0 0 0 1 8 31000108
+1 0 0 0 0 0 1 9 31000109
+1 0 0 0 0 0 1 10 31000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/ay.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/ay.xl
new file mode 100644
index 000000000..fec5e47f3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/ay.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::ay x (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 32000102
+0 0 0 0 0 1 1 2 32010102
+0 0 0 0 0 2 1 2 32020102
+0 0 0 0 0 3 1 2 32030102
+0 0 0 0 0 4 1 2 32040102
+0 0 0 0 0 5 1 2 32050102
+0 0 0 0 0 6 1 2 32060102
+0 0 0 0 0 7 1 2 32070102
+0 0 0 0 0 8 1 2 32080102
+0 0 0 0 0 9 1 2 32090102
+0 0 0 0 0 10 1 2 32100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 32000102
+1 0 0 0 0 1 1 2 32010102
+1 0 0 0 0 2 1 2 32020102
+1 0 0 0 0 3 1 2 32030102
+1 0 0 0 0 4 1 2 32040102
+1 0 0 0 0 5 1 2 32050102
+1 0 0 0 0 6 1 2 32060102
+1 0 0 0 0 7 1 2 32070102
+1 0 0 0 0 8 1 2 32080102
+1 0 0 0 0 9 1 2 32090102
+1 0 0 0 0 10 1 2 32100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/ay.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/ay.yl
new file mode 100644
index 000000000..a40e221e9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/ay.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::ay y (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 32000002
+0 0 0 0 0 0 1 2 32000102
+0 0 0 0 0 0 2 2 32000202
+0 0 0 0 0 0 3 2 32000302
+0 0 0 0 0 0 4 2 32000402
+0 0 0 0 0 0 5 2 32000502
+0 0 0 0 0 0 6 2 32000602
+0 0 0 0 0 0 7 2 32000702
+0 0 0 0 0 0 8 2 32000802
+0 0 0 0 0 0 9 2 32000902
+0 0 0 0 0 0 10 2 32001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 32000202
+1 0 0 0 0 0 1 2 32000102
+1 0 0 0 0 0 2 2 32000202
+1 0 0 0 0 0 3 2 32000302
+1 0 0 0 0 0 4 2 32000402
+1 0 0 0 0 0 5 2 32000502
+1 0 0 0 0 0 6 2 32000602
+1 0 0 0 0 0 7 2 32000702
+1 0 0 0 0 0 8 2 32000802
+1 0 0 0 0 0 9 2 32000902
+1 0 0 0 0 0 10 2 32001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/ay.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/ay.zl
new file mode 100644
index 000000000..9cfd86781
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/ay.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::ay z (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 32000100
+0 0 0 0 0 0 1 1 32000101
+0 0 0 0 0 0 1 2 32000102
+0 0 0 0 0 0 1 3 32000103
+0 0 0 0 0 0 1 4 32000104
+0 0 0 0 0 0 1 5 32000105
+0 0 0 0 0 0 1 6 32000106
+0 0 0 0 0 0 1 7 32000107
+0 0 0 0 0 0 1 8 32000108
+0 0 0 0 0 0 1 9 32000109
+0 0 0 0 0 0 1 10 32000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -32000104
+1 0 0 0 0 0 1 1 -32000103
+1 0 0 0 0 0 1 2 32000102
+1 0 0 0 0 0 1 3 32000103
+1 0 0 0 0 0 1 4 32000104
+1 0 0 0 0 0 1 5 32000105
+1 0 0 0 0 0 1 6 32000106
+1 0 0 0 0 0 1 7 32000107
+1 0 0 0 0 0 1 8 32000108
+1 0 0 0 0 0 1 9 32000109
+1 0 0 0 0 0 1 10 32000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/az.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/az.xl
new file mode 100644
index 000000000..3974b06f0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/az.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::az x (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 33000102
+0 0 0 0 0 1 1 2 33010102
+0 0 0 0 0 2 1 2 33020102
+0 0 0 0 0 3 1 2 33030102
+0 0 0 0 0 4 1 2 33040102
+0 0 0 0 0 5 1 2 33050102
+0 0 0 0 0 6 1 2 33060102
+0 0 0 0 0 7 1 2 33070102
+0 0 0 0 0 8 1 2 33080102
+0 0 0 0 0 9 1 2 33090102
+0 0 0 0 0 10 1 2 33100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 33000102
+1 0 0 0 0 1 1 2 33010102
+1 0 0 0 0 2 1 2 33020102
+1 0 0 0 0 3 1 2 33030102
+1 0 0 0 0 4 1 2 33040102
+1 0 0 0 0 5 1 2 33050102
+1 0 0 0 0 6 1 2 33060102
+1 0 0 0 0 7 1 2 33070102
+1 0 0 0 0 8 1 2 33080102
+1 0 0 0 0 9 1 2 33090102
+1 0 0 0 0 10 1 2 33100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/az.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/az.yl
new file mode 100644
index 000000000..f69238d17
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/az.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::az y (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 33000002
+0 0 0 0 0 0 1 2 33000102
+0 0 0 0 0 0 2 2 33000202
+0 0 0 0 0 0 3 2 33000302
+0 0 0 0 0 0 4 2 33000402
+0 0 0 0 0 0 5 2 33000502
+0 0 0 0 0 0 6 2 33000602
+0 0 0 0 0 0 7 2 33000702
+0 0 0 0 0 0 8 2 33000802
+0 0 0 0 0 0 9 2 33000902
+0 0 0 0 0 0 10 2 33001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -33000202
+1 0 0 0 0 0 1 2 33000102
+1 0 0 0 0 0 2 2 33000202
+1 0 0 0 0 0 3 2 33000302
+1 0 0 0 0 0 4 2 33000402
+1 0 0 0 0 0 5 2 33000502
+1 0 0 0 0 0 6 2 33000602
+1 0 0 0 0 0 7 2 33000702
+1 0 0 0 0 0 8 2 33000802
+1 0 0 0 0 0 9 2 33000902
+1 0 0 0 0 0 10 2 33001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/az.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/az.zl
new file mode 100644
index 000000000..7d38d7ac1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/az.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::az z (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 33000100
+0 0 0 0 0 0 1 1 33000101
+0 0 0 0 0 0 1 2 33000102
+0 0 0 0 0 0 1 3 33000103
+0 0 0 0 0 0 1 4 33000104
+0 0 0 0 0 0 1 5 33000105
+0 0 0 0 0 0 1 6 33000106
+0 0 0 0 0 0 1 7 33000107
+0 0 0 0 0 0 1 8 33000108
+0 0 0 0 0 0 1 9 33000109
+0 0 0 0 0 0 1 10 33000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 33000104
+1 0 0 0 0 0 1 1 33000103
+1 0 0 0 0 0 1 2 33000102
+1 0 0 0 0 0 1 3 33000103
+1 0 0 0 0 0 1 4 33000104
+1 0 0 0 0 0 1 5 33000105
+1 0 0 0 0 0 1 6 33000106
+1 0 0 0 0 0 1 7 33000107
+1 0 0 0 0 0 1 8 33000108
+1 0 0 0 0 0 1 9 33000109
+1 0 0 0 0 0 1 10 33000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_x.xl
new file mode 100644
index 000000000..aba2c4467
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_x.xl
@@ -0,0 +1,36 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 1 1 2 0.3
+0 0 0 0 0 2 1 2 0.6
+0 0 0 0 0 3 1 2 0.9
+0 0 0 0 0 4 1 2 1.2
+0 0 0 0 0 5 1 2 1.5
+0 0 0 0 0 6 1 2 1.8
+0 0 0 0 0 7 1 2 2.1
+0 0 0 0 0 8 1 2 2.4
+0 0 0 0 0 9 1 2 2.7
+0 0 0 0 0 10 1 2 3
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 0
+1 0 0 0 0 1 1 2 0.3
+1 0 0 0 0 2 1 2 0.6
+1 0 0 0 0 3 1 2 0.9
+1 0 0 0 0 4 1 2 1.2
+1 0 0 0 0 5 1 2 1.5
+1 0 0 0 0 6 1 2 1.8
+1 0 0 0 0 7 1 2 2.1
+1 0 0 0 0 8 1 2 2.4
+1 0 0 0 0 9 1 2 2.7
+1 0 0 0 0 10 1 2 3
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_x.yl
new file mode 100644
index 000000000..f8489138f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_x.yl
@@ -0,0 +1,36 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 0
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 0 2 2 0
+0 0 0 0 0 0 3 2 0
+0 0 0 0 0 0 4 2 0
+0 0 0 0 0 0 5 2 0
+0 0 0 0 0 0 6 2 0
+0 0 0 0 0 0 7 2 0
+0 0 0 0 0 0 8 2 0
+0 0 0 0 0 0 9 2 0
+0 0 0 0 0 0 10 2 0
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 0
+1 0 0 0 0 0 1 2 0
+1 0 0 0 0 0 2 2 0
+1 0 0 0 0 0 3 2 0
+1 0 0 0 0 0 4 2 0
+1 0 0 0 0 0 5 2 0
+1 0 0 0 0 0 6 2 0
+1 0 0 0 0 0 7 2 0
+1 0 0 0 0 0 8 2 0
+1 0 0 0 0 0 9 2 0
+1 0 0 0 0 0 10 2 0
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_x.zl
new file mode 100644
index 000000000..0d5c39cb0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_x.zl
@@ -0,0 +1,36 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 0
+0 0 0 0 0 0 1 1 0
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 0 1 3 0
+0 0 0 0 0 0 1 4 0
+0 0 0 0 0 0 1 5 0
+0 0 0 0 0 0 1 6 0
+0 0 0 0 0 0 1 7 0
+0 0 0 0 0 0 1 8 0
+0 0 0 0 0 0 1 9 0
+0 0 0 0 0 0 1 10 0
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 0
+1 0 0 0 0 0 1 1 0
+1 0 0 0 0 0 1 2 0
+1 0 0 0 0 0 1 3 0
+1 0 0 0 0 0 1 4 0
+1 0 0 0 0 0 1 5 0
+1 0 0 0 0 0 1 6 0
+1 0 0 0 0 0 1 7 0
+1 0 0 0 0 0 1 8 0
+1 0 0 0 0 0 1 9 0
+1 0 0 0 0 0 1 10 0
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_y.xl
new file mode 100644
index 000000000..7d1da66a2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_y.xl
@@ -0,0 +1,36 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 1 1 2 0
+0 0 0 0 0 2 1 2 0
+0 0 0 0 0 3 1 2 0
+0 0 0 0 0 4 1 2 0
+0 0 0 0 0 5 1 2 0
+0 0 0 0 0 6 1 2 0
+0 0 0 0 0 7 1 2 0
+0 0 0 0 0 8 1 2 0
+0 0 0 0 0 9 1 2 0
+0 0 0 0 0 10 1 2 0
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 0
+1 0 0 0 0 1 1 2 0
+1 0 0 0 0 2 1 2 0
+1 0 0 0 0 3 1 2 0
+1 0 0 0 0 4 1 2 0
+1 0 0 0 0 5 1 2 0
+1 0 0 0 0 6 1 2 0
+1 0 0 0 0 7 1 2 0
+1 0 0 0 0 8 1 2 0
+1 0 0 0 0 9 1 2 0
+1 0 0 0 0 10 1 2 0
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_y.yl
new file mode 100644
index 000000000..220ae1b42
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_y.yl
@@ -0,0 +1,36 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 -0.3
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 0 2 2 0.3
+0 0 0 0 0 0 3 2 0.6
+0 0 0 0 0 0 4 2 0.9
+0 0 0 0 0 0 5 2 1.2
+0 0 0 0 0 0 6 2 1.5
+0 0 0 0 0 0 7 2 1.8
+0 0 0 0 0 0 8 2 2.1
+0 0 0 0 0 0 9 2 2.4
+0 0 0 0 0 0 10 2 2.7
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -0.3
+1 0 0 0 0 0 1 2 0
+1 0 0 0 0 0 2 2 0.3
+1 0 0 0 0 0 3 2 0.6
+1 0 0 0 0 0 4 2 0.9
+1 0 0 0 0 0 5 2 1.2
+1 0 0 0 0 0 6 2 1.5
+1 0 0 0 0 0 7 2 1.8
+1 0 0 0 0 0 8 2 2.1
+1 0 0 0 0 0 9 2 2.4
+1 0 0 0 0 0 10 2 2.7
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_y.zl
new file mode 100644
index 000000000..4a2f90a9b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_y.zl
@@ -0,0 +1,36 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 0
+0 0 0 0 0 0 1 1 0
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 0 1 3 0
+0 0 0 0 0 0 1 4 0
+0 0 0 0 0 0 1 5 0
+0 0 0 0 0 0 1 6 0
+0 0 0 0 0 0 1 7 0
+0 0 0 0 0 0 1 8 0
+0 0 0 0 0 0 1 9 0
+0 0 0 0 0 0 1 10 0
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 0
+1 0 0 0 0 0 1 1 0
+1 0 0 0 0 0 1 2 0
+1 0 0 0 0 0 1 3 0
+1 0 0 0 0 0 1 4 0
+1 0 0 0 0 0 1 5 0
+1 0 0 0 0 0 1 6 0
+1 0 0 0 0 0 1 7 0
+1 0 0 0 0 0 1 8 0
+1 0 0 0 0 0 1 9 0
+1 0 0 0 0 0 1 10 0
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_z.xl
new file mode 100644
index 000000000..07666d30d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_z.xl
@@ -0,0 +1,36 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 1 1 2 0
+0 0 0 0 0 2 1 2 0
+0 0 0 0 0 3 1 2 0
+0 0 0 0 0 4 1 2 0
+0 0 0 0 0 5 1 2 0
+0 0 0 0 0 6 1 2 0
+0 0 0 0 0 7 1 2 0
+0 0 0 0 0 8 1 2 0
+0 0 0 0 0 9 1 2 0
+0 0 0 0 0 10 1 2 0
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 0
+1 0 0 0 0 1 1 2 0
+1 0 0 0 0 2 1 2 0
+1 0 0 0 0 3 1 2 0
+1 0 0 0 0 4 1 2 0
+1 0 0 0 0 5 1 2 0
+1 0 0 0 0 6 1 2 0
+1 0 0 0 0 7 1 2 0
+1 0 0 0 0 8 1 2 0
+1 0 0 0 0 9 1 2 0
+1 0 0 0 0 10 1 2 0
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_z.yl
new file mode 100644
index 000000000..9cd0311f1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_z.yl
@@ -0,0 +1,36 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 0
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 0 2 2 0
+0 0 0 0 0 0 3 2 0
+0 0 0 0 0 0 4 2 0
+0 0 0 0 0 0 5 2 0
+0 0 0 0 0 0 6 2 0
+0 0 0 0 0 0 7 2 0
+0 0 0 0 0 0 8 2 0
+0 0 0 0 0 0 9 2 0
+0 0 0 0 0 0 10 2 0
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 0
+1 0 0 0 0 0 1 2 0
+1 0 0 0 0 0 2 2 0
+1 0 0 0 0 0 3 2 0
+1 0 0 0 0 0 4 2 0
+1 0 0 0 0 0 5 2 0
+1 0 0 0 0 0 6 2 0
+1 0 0 0 0 0 7 2 0
+1 0 0 0 0 0 8 2 0
+1 0 0 0 0 0 9 2 0
+1 0 0 0 0 0 10 2 0
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_z.zl
new file mode 100644
index 000000000..212ece12f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/cart3d_z.zl
@@ -0,0 +1,36 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 -0.6
+0 0 0 0 0 0 1 1 -0.3
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 0 1 3 0.3
+0 0 0 0 0 0 1 4 0.6
+0 0 0 0 0 0 1 5 0.9
+0 0 0 0 0 0 1 6 1.2
+0 0 0 0 0 0 1 7 1.5
+0 0 0 0 0 0 1 8 1.8
+0 0 0 0 0 0 1 9 2.1
+0 0 0 0 0 0 1 10 2.4
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -0.6
+1 0 0 0 0 0 1 1 -0.3
+1 0 0 0 0 0 1 2 0
+1 0 0 0 0 0 1 3 0.3
+1 0 0 0 0 0 1 4 0.6
+1 0 0 0 0 0 1 5 0.9
+1 0 0 0 0 0 1 6 1.2
+1 0 0 0 0 0 1 7 1.5
+1 0 0 0 0 0 1 8 1.8
+1 0 0 0 0 0 1 9 2.1
+1 0 0 0 0 0 1 10 2.4
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxx.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxx.xl
new file mode 100644
index 000000000..266573f9b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxx.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxx x (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 41000102
+0 0 0 0 0 1 1 2 41010102
+0 0 0 0 0 2 1 2 41020102
+0 0 0 0 0 3 1 2 41030102
+0 0 0 0 0 4 1 2 41040102
+0 0 0 0 0 5 1 2 41050102
+0 0 0 0 0 6 1 2 41060102
+0 0 0 0 0 7 1 2 41070102
+0 0 0 0 0 8 1 2 41080102
+0 0 0 0 0 9 1 2 41090102
+0 0 0 0 0 10 1 2 41100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 41000102
+1 0 0 0 0 1 1 2 41010102
+1 0 0 0 0 2 1 2 41020102
+1 0 0 0 0 3 1 2 41030102
+1 0 0 0 0 4 1 2 41040102
+1 0 0 0 0 5 1 2 41050102
+1 0 0 0 0 6 1 2 41060102
+1 0 0 0 0 7 1 2 41070102
+1 0 0 0 0 8 1 2 41080102
+1 0 0 0 0 9 1 2 41090102
+1 0 0 0 0 10 1 2 41100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxx.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxx.yl
new file mode 100644
index 000000000..18b54e459
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxx.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxx y (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 41000002
+0 0 0 0 0 0 1 2 41000102
+0 0 0 0 0 0 2 2 41000202
+0 0 0 0 0 0 3 2 41000302
+0 0 0 0 0 0 4 2 41000402
+0 0 0 0 0 0 5 2 41000502
+0 0 0 0 0 0 6 2 41000602
+0 0 0 0 0 0 7 2 41000702
+0 0 0 0 0 0 8 2 41000802
+0 0 0 0 0 0 9 2 41000902
+0 0 0 0 0 0 10 2 41001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 41000202
+1 0 0 0 0 0 1 2 41000102
+1 0 0 0 0 0 2 2 41000202
+1 0 0 0 0 0 3 2 41000302
+1 0 0 0 0 0 4 2 41000402
+1 0 0 0 0 0 5 2 41000502
+1 0 0 0 0 0 6 2 41000602
+1 0 0 0 0 0 7 2 41000702
+1 0 0 0 0 0 8 2 41000802
+1 0 0 0 0 0 9 2 41000902
+1 0 0 0 0 0 10 2 41001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxx.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxx.zl
new file mode 100644
index 000000000..17bf63d1e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxx z (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 41000100
+0 0 0 0 0 0 1 1 41000101
+0 0 0 0 0 0 1 2 41000102
+0 0 0 0 0 0 1 3 41000103
+0 0 0 0 0 0 1 4 41000104
+0 0 0 0 0 0 1 5 41000105
+0 0 0 0 0 0 1 6 41000106
+0 0 0 0 0 0 1 7 41000107
+0 0 0 0 0 0 1 8 41000108
+0 0 0 0 0 0 1 9 41000109
+0 0 0 0 0 0 1 10 41000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 41000104
+1 0 0 0 0 0 1 1 41000103
+1 0 0 0 0 0 1 2 41000102
+1 0 0 0 0 0 1 3 41000103
+1 0 0 0 0 0 1 4 41000104
+1 0 0 0 0 0 1 5 41000105
+1 0 0 0 0 0 1 6 41000106
+1 0 0 0 0 0 1 7 41000107
+1 0 0 0 0 0 1 8 41000108
+1 0 0 0 0 0 1 9 41000109
+1 0 0 0 0 0 1 10 41000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxy.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxy.xl
new file mode 100644
index 000000000..f315b8097
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxy.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxy x (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 42000102
+0 0 0 0 0 1 1 2 42010102
+0 0 0 0 0 2 1 2 42020102
+0 0 0 0 0 3 1 2 42030102
+0 0 0 0 0 4 1 2 42040102
+0 0 0 0 0 5 1 2 42050102
+0 0 0 0 0 6 1 2 42060102
+0 0 0 0 0 7 1 2 42070102
+0 0 0 0 0 8 1 2 42080102
+0 0 0 0 0 9 1 2 42090102
+0 0 0 0 0 10 1 2 42100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 42000102
+1 0 0 0 0 1 1 2 42010102
+1 0 0 0 0 2 1 2 42020102
+1 0 0 0 0 3 1 2 42030102
+1 0 0 0 0 4 1 2 42040102
+1 0 0 0 0 5 1 2 42050102
+1 0 0 0 0 6 1 2 42060102
+1 0 0 0 0 7 1 2 42070102
+1 0 0 0 0 8 1 2 42080102
+1 0 0 0 0 9 1 2 42090102
+1 0 0 0 0 10 1 2 42100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxy.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxy.yl
new file mode 100644
index 000000000..c74697080
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxy.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxy y (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 42000002
+0 0 0 0 0 0 1 2 42000102
+0 0 0 0 0 0 2 2 42000202
+0 0 0 0 0 0 3 2 42000302
+0 0 0 0 0 0 4 2 42000402
+0 0 0 0 0 0 5 2 42000502
+0 0 0 0 0 0 6 2 42000602
+0 0 0 0 0 0 7 2 42000702
+0 0 0 0 0 0 8 2 42000802
+0 0 0 0 0 0 9 2 42000902
+0 0 0 0 0 0 10 2 42001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -42000202
+1 0 0 0 0 0 1 2 42000102
+1 0 0 0 0 0 2 2 42000202
+1 0 0 0 0 0 3 2 42000302
+1 0 0 0 0 0 4 2 42000402
+1 0 0 0 0 0 5 2 42000502
+1 0 0 0 0 0 6 2 42000602
+1 0 0 0 0 0 7 2 42000702
+1 0 0 0 0 0 8 2 42000802
+1 0 0 0 0 0 9 2 42000902
+1 0 0 0 0 0 10 2 42001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxy.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxy.zl
new file mode 100644
index 000000000..edc621a68
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxy z (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 42000100
+0 0 0 0 0 0 1 1 42000101
+0 0 0 0 0 0 1 2 42000102
+0 0 0 0 0 0 1 3 42000103
+0 0 0 0 0 0 1 4 42000104
+0 0 0 0 0 0 1 5 42000105
+0 0 0 0 0 0 1 6 42000106
+0 0 0 0 0 0 1 7 42000107
+0 0 0 0 0 0 1 8 42000108
+0 0 0 0 0 0 1 9 42000109
+0 0 0 0 0 0 1 10 42000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 42000104
+1 0 0 0 0 0 1 1 42000103
+1 0 0 0 0 0 1 2 42000102
+1 0 0 0 0 0 1 3 42000103
+1 0 0 0 0 0 1 4 42000104
+1 0 0 0 0 0 1 5 42000105
+1 0 0 0 0 0 1 6 42000106
+1 0 0 0 0 0 1 7 42000107
+1 0 0 0 0 0 1 8 42000108
+1 0 0 0 0 0 1 9 42000109
+1 0 0 0 0 0 1 10 42000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxz.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxz.xl
new file mode 100644
index 000000000..bc4675df1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxz.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxz x (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 43000102
+0 0 0 0 0 1 1 2 43010102
+0 0 0 0 0 2 1 2 43020102
+0 0 0 0 0 3 1 2 43030102
+0 0 0 0 0 4 1 2 43040102
+0 0 0 0 0 5 1 2 43050102
+0 0 0 0 0 6 1 2 43060102
+0 0 0 0 0 7 1 2 43070102
+0 0 0 0 0 8 1 2 43080102
+0 0 0 0 0 9 1 2 43090102
+0 0 0 0 0 10 1 2 43100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 43000102
+1 0 0 0 0 1 1 2 43010102
+1 0 0 0 0 2 1 2 43020102
+1 0 0 0 0 3 1 2 43030102
+1 0 0 0 0 4 1 2 43040102
+1 0 0 0 0 5 1 2 43050102
+1 0 0 0 0 6 1 2 43060102
+1 0 0 0 0 7 1 2 43070102
+1 0 0 0 0 8 1 2 43080102
+1 0 0 0 0 9 1 2 43090102
+1 0 0 0 0 10 1 2 43100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxz.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxz.yl
new file mode 100644
index 000000000..96c56896a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxz.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxz y (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 43000002
+0 0 0 0 0 0 1 2 43000102
+0 0 0 0 0 0 2 2 43000202
+0 0 0 0 0 0 3 2 43000302
+0 0 0 0 0 0 4 2 43000402
+0 0 0 0 0 0 5 2 43000502
+0 0 0 0 0 0 6 2 43000602
+0 0 0 0 0 0 7 2 43000702
+0 0 0 0 0 0 8 2 43000802
+0 0 0 0 0 0 9 2 43000902
+0 0 0 0 0 0 10 2 43001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 43000202
+1 0 0 0 0 0 1 2 43000102
+1 0 0 0 0 0 2 2 43000202
+1 0 0 0 0 0 3 2 43000302
+1 0 0 0 0 0 4 2 43000402
+1 0 0 0 0 0 5 2 43000502
+1 0 0 0 0 0 6 2 43000602
+1 0 0 0 0 0 7 2 43000702
+1 0 0 0 0 0 8 2 43000802
+1 0 0 0 0 0 9 2 43000902
+1 0 0 0 0 0 10 2 43001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxz.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxz.zl
new file mode 100644
index 000000000..ce9d298a3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fxz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxz z (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 43000100
+0 0 0 0 0 0 1 1 43000101
+0 0 0 0 0 0 1 2 43000102
+0 0 0 0 0 0 1 3 43000103
+0 0 0 0 0 0 1 4 43000104
+0 0 0 0 0 0 1 5 43000105
+0 0 0 0 0 0 1 6 43000106
+0 0 0 0 0 0 1 7 43000107
+0 0 0 0 0 0 1 8 43000108
+0 0 0 0 0 0 1 9 43000109
+0 0 0 0 0 0 1 10 43000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -43000104
+1 0 0 0 0 0 1 1 -43000103
+1 0 0 0 0 0 1 2 43000102
+1 0 0 0 0 0 1 3 43000103
+1 0 0 0 0 0 1 4 43000104
+1 0 0 0 0 0 1 5 43000105
+1 0 0 0 0 0 1 6 43000106
+1 0 0 0 0 0 1 7 43000107
+1 0 0 0 0 0 1 8 43000108
+1 0 0 0 0 0 1 9 43000109
+1 0 0 0 0 0 1 10 43000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyx.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyx.xl
new file mode 100644
index 000000000..c38026a7d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyx.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyx x (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 44000102
+0 0 0 0 0 1 1 2 44010102
+0 0 0 0 0 2 1 2 44020102
+0 0 0 0 0 3 1 2 44030102
+0 0 0 0 0 4 1 2 44040102
+0 0 0 0 0 5 1 2 44050102
+0 0 0 0 0 6 1 2 44060102
+0 0 0 0 0 7 1 2 44070102
+0 0 0 0 0 8 1 2 44080102
+0 0 0 0 0 9 1 2 44090102
+0 0 0 0 0 10 1 2 44100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 44000102
+1 0 0 0 0 1 1 2 44010102
+1 0 0 0 0 2 1 2 44020102
+1 0 0 0 0 3 1 2 44030102
+1 0 0 0 0 4 1 2 44040102
+1 0 0 0 0 5 1 2 44050102
+1 0 0 0 0 6 1 2 44060102
+1 0 0 0 0 7 1 2 44070102
+1 0 0 0 0 8 1 2 44080102
+1 0 0 0 0 9 1 2 44090102
+1 0 0 0 0 10 1 2 44100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyx.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyx.yl
new file mode 100644
index 000000000..b726096bf
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyx.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyx y (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 44000002
+0 0 0 0 0 0 1 2 44000102
+0 0 0 0 0 0 2 2 44000202
+0 0 0 0 0 0 3 2 44000302
+0 0 0 0 0 0 4 2 44000402
+0 0 0 0 0 0 5 2 44000502
+0 0 0 0 0 0 6 2 44000602
+0 0 0 0 0 0 7 2 44000702
+0 0 0 0 0 0 8 2 44000802
+0 0 0 0 0 0 9 2 44000902
+0 0 0 0 0 0 10 2 44001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -44000202
+1 0 0 0 0 0 1 2 44000102
+1 0 0 0 0 0 2 2 44000202
+1 0 0 0 0 0 3 2 44000302
+1 0 0 0 0 0 4 2 44000402
+1 0 0 0 0 0 5 2 44000502
+1 0 0 0 0 0 6 2 44000602
+1 0 0 0 0 0 7 2 44000702
+1 0 0 0 0 0 8 2 44000802
+1 0 0 0 0 0 9 2 44000902
+1 0 0 0 0 0 10 2 44001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyx.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyx.zl
new file mode 100644
index 000000000..28fb8b14b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyx z (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 44000100
+0 0 0 0 0 0 1 1 44000101
+0 0 0 0 0 0 1 2 44000102
+0 0 0 0 0 0 1 3 44000103
+0 0 0 0 0 0 1 4 44000104
+0 0 0 0 0 0 1 5 44000105
+0 0 0 0 0 0 1 6 44000106
+0 0 0 0 0 0 1 7 44000107
+0 0 0 0 0 0 1 8 44000108
+0 0 0 0 0 0 1 9 44000109
+0 0 0 0 0 0 1 10 44000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 44000104
+1 0 0 0 0 0 1 1 44000103
+1 0 0 0 0 0 1 2 44000102
+1 0 0 0 0 0 1 3 44000103
+1 0 0 0 0 0 1 4 44000104
+1 0 0 0 0 0 1 5 44000105
+1 0 0 0 0 0 1 6 44000106
+1 0 0 0 0 0 1 7 44000107
+1 0 0 0 0 0 1 8 44000108
+1 0 0 0 0 0 1 9 44000109
+1 0 0 0 0 0 1 10 44000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyy.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyy.xl
new file mode 100644
index 000000000..11f11db67
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyy.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyy x (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 45000102
+0 0 0 0 0 1 1 2 45010102
+0 0 0 0 0 2 1 2 45020102
+0 0 0 0 0 3 1 2 45030102
+0 0 0 0 0 4 1 2 45040102
+0 0 0 0 0 5 1 2 45050102
+0 0 0 0 0 6 1 2 45060102
+0 0 0 0 0 7 1 2 45070102
+0 0 0 0 0 8 1 2 45080102
+0 0 0 0 0 9 1 2 45090102
+0 0 0 0 0 10 1 2 45100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 45000102
+1 0 0 0 0 1 1 2 45010102
+1 0 0 0 0 2 1 2 45020102
+1 0 0 0 0 3 1 2 45030102
+1 0 0 0 0 4 1 2 45040102
+1 0 0 0 0 5 1 2 45050102
+1 0 0 0 0 6 1 2 45060102
+1 0 0 0 0 7 1 2 45070102
+1 0 0 0 0 8 1 2 45080102
+1 0 0 0 0 9 1 2 45090102
+1 0 0 0 0 10 1 2 45100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyy.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyy.yl
new file mode 100644
index 000000000..db8b1038f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyy.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyy y (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 45000002
+0 0 0 0 0 0 1 2 45000102
+0 0 0 0 0 0 2 2 45000202
+0 0 0 0 0 0 3 2 45000302
+0 0 0 0 0 0 4 2 45000402
+0 0 0 0 0 0 5 2 45000502
+0 0 0 0 0 0 6 2 45000602
+0 0 0 0 0 0 7 2 45000702
+0 0 0 0 0 0 8 2 45000802
+0 0 0 0 0 0 9 2 45000902
+0 0 0 0 0 0 10 2 45001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 45000202
+1 0 0 0 0 0 1 2 45000102
+1 0 0 0 0 0 2 2 45000202
+1 0 0 0 0 0 3 2 45000302
+1 0 0 0 0 0 4 2 45000402
+1 0 0 0 0 0 5 2 45000502
+1 0 0 0 0 0 6 2 45000602
+1 0 0 0 0 0 7 2 45000702
+1 0 0 0 0 0 8 2 45000802
+1 0 0 0 0 0 9 2 45000902
+1 0 0 0 0 0 10 2 45001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyy.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyy.zl
new file mode 100644
index 000000000..b7bd78836
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyy z (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 45000100
+0 0 0 0 0 0 1 1 45000101
+0 0 0 0 0 0 1 2 45000102
+0 0 0 0 0 0 1 3 45000103
+0 0 0 0 0 0 1 4 45000104
+0 0 0 0 0 0 1 5 45000105
+0 0 0 0 0 0 1 6 45000106
+0 0 0 0 0 0 1 7 45000107
+0 0 0 0 0 0 1 8 45000108
+0 0 0 0 0 0 1 9 45000109
+0 0 0 0 0 0 1 10 45000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 45000104
+1 0 0 0 0 0 1 1 45000103
+1 0 0 0 0 0 1 2 45000102
+1 0 0 0 0 0 1 3 45000103
+1 0 0 0 0 0 1 4 45000104
+1 0 0 0 0 0 1 5 45000105
+1 0 0 0 0 0 1 6 45000106
+1 0 0 0 0 0 1 7 45000107
+1 0 0 0 0 0 1 8 45000108
+1 0 0 0 0 0 1 9 45000109
+1 0 0 0 0 0 1 10 45000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyz.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyz.xl
new file mode 100644
index 000000000..c96acccbe
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyz.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyz x (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 46000102
+0 0 0 0 0 1 1 2 46010102
+0 0 0 0 0 2 1 2 46020102
+0 0 0 0 0 3 1 2 46030102
+0 0 0 0 0 4 1 2 46040102
+0 0 0 0 0 5 1 2 46050102
+0 0 0 0 0 6 1 2 46060102
+0 0 0 0 0 7 1 2 46070102
+0 0 0 0 0 8 1 2 46080102
+0 0 0 0 0 9 1 2 46090102
+0 0 0 0 0 10 1 2 46100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 46000102
+1 0 0 0 0 1 1 2 46010102
+1 0 0 0 0 2 1 2 46020102
+1 0 0 0 0 3 1 2 46030102
+1 0 0 0 0 4 1 2 46040102
+1 0 0 0 0 5 1 2 46050102
+1 0 0 0 0 6 1 2 46060102
+1 0 0 0 0 7 1 2 46070102
+1 0 0 0 0 8 1 2 46080102
+1 0 0 0 0 9 1 2 46090102
+1 0 0 0 0 10 1 2 46100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyz.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyz.yl
new file mode 100644
index 000000000..425e6123d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyz.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyz y (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 46000002
+0 0 0 0 0 0 1 2 46000102
+0 0 0 0 0 0 2 2 46000202
+0 0 0 0 0 0 3 2 46000302
+0 0 0 0 0 0 4 2 46000402
+0 0 0 0 0 0 5 2 46000502
+0 0 0 0 0 0 6 2 46000602
+0 0 0 0 0 0 7 2 46000702
+0 0 0 0 0 0 8 2 46000802
+0 0 0 0 0 0 9 2 46000902
+0 0 0 0 0 0 10 2 46001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -46000202
+1 0 0 0 0 0 1 2 46000102
+1 0 0 0 0 0 2 2 46000202
+1 0 0 0 0 0 3 2 46000302
+1 0 0 0 0 0 4 2 46000402
+1 0 0 0 0 0 5 2 46000502
+1 0 0 0 0 0 6 2 46000602
+1 0 0 0 0 0 7 2 46000702
+1 0 0 0 0 0 8 2 46000802
+1 0 0 0 0 0 9 2 46000902
+1 0 0 0 0 0 10 2 46001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyz.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyz.zl
new file mode 100644
index 000000000..c2dc248f0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fyz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyz z (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 46000100
+0 0 0 0 0 0 1 1 46000101
+0 0 0 0 0 0 1 2 46000102
+0 0 0 0 0 0 1 3 46000103
+0 0 0 0 0 0 1 4 46000104
+0 0 0 0 0 0 1 5 46000105
+0 0 0 0 0 0 1 6 46000106
+0 0 0 0 0 0 1 7 46000107
+0 0 0 0 0 0 1 8 46000108
+0 0 0 0 0 0 1 9 46000109
+0 0 0 0 0 0 1 10 46000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -46000104
+1 0 0 0 0 0 1 1 -46000103
+1 0 0 0 0 0 1 2 46000102
+1 0 0 0 0 0 1 3 46000103
+1 0 0 0 0 0 1 4 46000104
+1 0 0 0 0 0 1 5 46000105
+1 0 0 0 0 0 1 6 46000106
+1 0 0 0 0 0 1 7 46000107
+1 0 0 0 0 0 1 8 46000108
+1 0 0 0 0 0 1 9 46000109
+1 0 0 0 0 0 1 10 46000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzx.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzx.xl
new file mode 100644
index 000000000..060b7b61b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzx.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzx x (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 47000102
+0 0 0 0 0 1 1 2 47010102
+0 0 0 0 0 2 1 2 47020102
+0 0 0 0 0 3 1 2 47030102
+0 0 0 0 0 4 1 2 47040102
+0 0 0 0 0 5 1 2 47050102
+0 0 0 0 0 6 1 2 47060102
+0 0 0 0 0 7 1 2 47070102
+0 0 0 0 0 8 1 2 47080102
+0 0 0 0 0 9 1 2 47090102
+0 0 0 0 0 10 1 2 47100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 47000102
+1 0 0 0 0 1 1 2 47010102
+1 0 0 0 0 2 1 2 47020102
+1 0 0 0 0 3 1 2 47030102
+1 0 0 0 0 4 1 2 47040102
+1 0 0 0 0 5 1 2 47050102
+1 0 0 0 0 6 1 2 47060102
+1 0 0 0 0 7 1 2 47070102
+1 0 0 0 0 8 1 2 47080102
+1 0 0 0 0 9 1 2 47090102
+1 0 0 0 0 10 1 2 47100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzx.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzx.yl
new file mode 100644
index 000000000..ab5cdf559
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzx.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzx y (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 47000002
+0 0 0 0 0 0 1 2 47000102
+0 0 0 0 0 0 2 2 47000202
+0 0 0 0 0 0 3 2 47000302
+0 0 0 0 0 0 4 2 47000402
+0 0 0 0 0 0 5 2 47000502
+0 0 0 0 0 0 6 2 47000602
+0 0 0 0 0 0 7 2 47000702
+0 0 0 0 0 0 8 2 47000802
+0 0 0 0 0 0 9 2 47000902
+0 0 0 0 0 0 10 2 47001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 47000202
+1 0 0 0 0 0 1 2 47000102
+1 0 0 0 0 0 2 2 47000202
+1 0 0 0 0 0 3 2 47000302
+1 0 0 0 0 0 4 2 47000402
+1 0 0 0 0 0 5 2 47000502
+1 0 0 0 0 0 6 2 47000602
+1 0 0 0 0 0 7 2 47000702
+1 0 0 0 0 0 8 2 47000802
+1 0 0 0 0 0 9 2 47000902
+1 0 0 0 0 0 10 2 47001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzx.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzx.zl
new file mode 100644
index 000000000..825a511df
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzx z (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 47000100
+0 0 0 0 0 0 1 1 47000101
+0 0 0 0 0 0 1 2 47000102
+0 0 0 0 0 0 1 3 47000103
+0 0 0 0 0 0 1 4 47000104
+0 0 0 0 0 0 1 5 47000105
+0 0 0 0 0 0 1 6 47000106
+0 0 0 0 0 0 1 7 47000107
+0 0 0 0 0 0 1 8 47000108
+0 0 0 0 0 0 1 9 47000109
+0 0 0 0 0 0 1 10 47000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -47000104
+1 0 0 0 0 0 1 1 -47000103
+1 0 0 0 0 0 1 2 47000102
+1 0 0 0 0 0 1 3 47000103
+1 0 0 0 0 0 1 4 47000104
+1 0 0 0 0 0 1 5 47000105
+1 0 0 0 0 0 1 6 47000106
+1 0 0 0 0 0 1 7 47000107
+1 0 0 0 0 0 1 8 47000108
+1 0 0 0 0 0 1 9 47000109
+1 0 0 0 0 0 1 10 47000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzy.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzy.xl
new file mode 100644
index 000000000..bde18cfcb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzy.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzy x (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 48000102
+0 0 0 0 0 1 1 2 48010102
+0 0 0 0 0 2 1 2 48020102
+0 0 0 0 0 3 1 2 48030102
+0 0 0 0 0 4 1 2 48040102
+0 0 0 0 0 5 1 2 48050102
+0 0 0 0 0 6 1 2 48060102
+0 0 0 0 0 7 1 2 48070102
+0 0 0 0 0 8 1 2 48080102
+0 0 0 0 0 9 1 2 48090102
+0 0 0 0 0 10 1 2 48100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 48000102
+1 0 0 0 0 1 1 2 48010102
+1 0 0 0 0 2 1 2 48020102
+1 0 0 0 0 3 1 2 48030102
+1 0 0 0 0 4 1 2 48040102
+1 0 0 0 0 5 1 2 48050102
+1 0 0 0 0 6 1 2 48060102
+1 0 0 0 0 7 1 2 48070102
+1 0 0 0 0 8 1 2 48080102
+1 0 0 0 0 9 1 2 48090102
+1 0 0 0 0 10 1 2 48100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzy.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzy.yl
new file mode 100644
index 000000000..03c070ece
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzy.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzy y (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 48000002
+0 0 0 0 0 0 1 2 48000102
+0 0 0 0 0 0 2 2 48000202
+0 0 0 0 0 0 3 2 48000302
+0 0 0 0 0 0 4 2 48000402
+0 0 0 0 0 0 5 2 48000502
+0 0 0 0 0 0 6 2 48000602
+0 0 0 0 0 0 7 2 48000702
+0 0 0 0 0 0 8 2 48000802
+0 0 0 0 0 0 9 2 48000902
+0 0 0 0 0 0 10 2 48001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -48000202
+1 0 0 0 0 0 1 2 48000102
+1 0 0 0 0 0 2 2 48000202
+1 0 0 0 0 0 3 2 48000302
+1 0 0 0 0 0 4 2 48000402
+1 0 0 0 0 0 5 2 48000502
+1 0 0 0 0 0 6 2 48000602
+1 0 0 0 0 0 7 2 48000702
+1 0 0 0 0 0 8 2 48000802
+1 0 0 0 0 0 9 2 48000902
+1 0 0 0 0 0 10 2 48001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzy.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzy.zl
new file mode 100644
index 000000000..7f92be98a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzy z (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 48000100
+0 0 0 0 0 0 1 1 48000101
+0 0 0 0 0 0 1 2 48000102
+0 0 0 0 0 0 1 3 48000103
+0 0 0 0 0 0 1 4 48000104
+0 0 0 0 0 0 1 5 48000105
+0 0 0 0 0 0 1 6 48000106
+0 0 0 0 0 0 1 7 48000107
+0 0 0 0 0 0 1 8 48000108
+0 0 0 0 0 0 1 9 48000109
+0 0 0 0 0 0 1 10 48000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -48000104
+1 0 0 0 0 0 1 1 -48000103
+1 0 0 0 0 0 1 2 48000102
+1 0 0 0 0 0 1 3 48000103
+1 0 0 0 0 0 1 4 48000104
+1 0 0 0 0 0 1 5 48000105
+1 0 0 0 0 0 1 6 48000106
+1 0 0 0 0 0 1 7 48000107
+1 0 0 0 0 0 1 8 48000108
+1 0 0 0 0 0 1 9 48000109
+1 0 0 0 0 0 1 10 48000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzz.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzz.xl
new file mode 100644
index 000000000..1478d0743
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzz.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzz x (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 49000102
+0 0 0 0 0 1 1 2 49010102
+0 0 0 0 0 2 1 2 49020102
+0 0 0 0 0 3 1 2 49030102
+0 0 0 0 0 4 1 2 49040102
+0 0 0 0 0 5 1 2 49050102
+0 0 0 0 0 6 1 2 49060102
+0 0 0 0 0 7 1 2 49070102
+0 0 0 0 0 8 1 2 49080102
+0 0 0 0 0 9 1 2 49090102
+0 0 0 0 0 10 1 2 49100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 49000102
+1 0 0 0 0 1 1 2 49010102
+1 0 0 0 0 2 1 2 49020102
+1 0 0 0 0 3 1 2 49030102
+1 0 0 0 0 4 1 2 49040102
+1 0 0 0 0 5 1 2 49050102
+1 0 0 0 0 6 1 2 49060102
+1 0 0 0 0 7 1 2 49070102
+1 0 0 0 0 8 1 2 49080102
+1 0 0 0 0 9 1 2 49090102
+1 0 0 0 0 10 1 2 49100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzz.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzz.yl
new file mode 100644
index 000000000..c71e7d2bc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzz.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzz y (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 49000002
+0 0 0 0 0 0 1 2 49000102
+0 0 0 0 0 0 2 2 49000202
+0 0 0 0 0 0 3 2 49000302
+0 0 0 0 0 0 4 2 49000402
+0 0 0 0 0 0 5 2 49000502
+0 0 0 0 0 0 6 2 49000602
+0 0 0 0 0 0 7 2 49000702
+0 0 0 0 0 0 8 2 49000802
+0 0 0 0 0 0 9 2 49000902
+0 0 0 0 0 0 10 2 49001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 49000202
+1 0 0 0 0 0 1 2 49000102
+1 0 0 0 0 0 2 2 49000202
+1 0 0 0 0 0 3 2 49000302
+1 0 0 0 0 0 4 2 49000402
+1 0 0 0 0 0 5 2 49000502
+1 0 0 0 0 0 6 2 49000602
+1 0 0 0 0 0 7 2 49000702
+1 0 0 0 0 0 8 2 49000802
+1 0 0 0 0 0 9 2 49000902
+1 0 0 0 0 0 10 2 49001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzz.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzz.zl
new file mode 100644
index 000000000..ce7e300f8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/fzz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzz z (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 49000100
+0 0 0 0 0 0 1 1 49000101
+0 0 0 0 0 0 1 2 49000102
+0 0 0 0 0 0 1 3 49000103
+0 0 0 0 0 0 1 4 49000104
+0 0 0 0 0 0 1 5 49000105
+0 0 0 0 0 0 1 6 49000106
+0 0 0 0 0 0 1 7 49000107
+0 0 0 0 0 0 1 8 49000108
+0 0 0 0 0 0 1 9 49000109
+0 0 0 0 0 0 1 10 49000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 49000104
+1 0 0 0 0 0 1 1 49000103
+1 0 0 0 0 0 1 2 49000102
+1 0 0 0 0 0 1 3 49000103
+1 0 0 0 0 0 1 4 49000104
+1 0 0 0 0 0 1 5 49000105
+1 0 0 0 0 0 1 6 49000106
+1 0 0 0 0 0 1 7 49000107
+1 0 0 0 0 0 1 8 49000108
+1 0 0 0 0 0 1 9 49000109
+1 0 0 0 0 0 1 10 49000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/s.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/s.xl
new file mode 100644
index 000000000..eb25512d0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/s.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::s x (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 1000102
+0 0 0 0 0 1 1 2 1010102
+0 0 0 0 0 2 1 2 1020102
+0 0 0 0 0 3 1 2 1030102
+0 0 0 0 0 4 1 2 1040102
+0 0 0 0 0 5 1 2 1050102
+0 0 0 0 0 6 1 2 1060102
+0 0 0 0 0 7 1 2 1070102
+0 0 0 0 0 8 1 2 1080102
+0 0 0 0 0 9 1 2 1090102
+0 0 0 0 0 10 1 2 1100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 1000102
+1 0 0 0 0 1 1 2 1010102
+1 0 0 0 0 2 1 2 1020102
+1 0 0 0 0 3 1 2 1030102
+1 0 0 0 0 4 1 2 1040102
+1 0 0 0 0 5 1 2 1050102
+1 0 0 0 0 6 1 2 1060102
+1 0 0 0 0 7 1 2 1070102
+1 0 0 0 0 8 1 2 1080102
+1 0 0 0 0 9 1 2 1090102
+1 0 0 0 0 10 1 2 1100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/s.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/s.yl
new file mode 100644
index 000000000..6bd6653dc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/s.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::s y (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 1000002
+0 0 0 0 0 0 1 2 1000102
+0 0 0 0 0 0 2 2 1000202
+0 0 0 0 0 0 3 2 1000302
+0 0 0 0 0 0 4 2 1000402
+0 0 0 0 0 0 5 2 1000502
+0 0 0 0 0 0 6 2 1000602
+0 0 0 0 0 0 7 2 1000702
+0 0 0 0 0 0 8 2 1000802
+0 0 0 0 0 0 9 2 1000902
+0 0 0 0 0 0 10 2 1001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 1000202
+1 0 0 0 0 0 1 2 1000102
+1 0 0 0 0 0 2 2 1000202
+1 0 0 0 0 0 3 2 1000302
+1 0 0 0 0 0 4 2 1000402
+1 0 0 0 0 0 5 2 1000502
+1 0 0 0 0 0 6 2 1000602
+1 0 0 0 0 0 7 2 1000702
+1 0 0 0 0 0 8 2 1000802
+1 0 0 0 0 0 9 2 1000902
+1 0 0 0 0 0 10 2 1001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/s.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/s.zl
new file mode 100644
index 000000000..36b040ed5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/s.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::s z (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 1000100
+0 0 0 0 0 0 1 1 1000101
+0 0 0 0 0 0 1 2 1000102
+0 0 0 0 0 0 1 3 1000103
+0 0 0 0 0 0 1 4 1000104
+0 0 0 0 0 0 1 5 1000105
+0 0 0 0 0 0 1 6 1000106
+0 0 0 0 0 0 1 7 1000107
+0 0 0 0 0 0 1 8 1000108
+0 0 0 0 0 0 1 9 1000109
+0 0 0 0 0 0 1 10 1000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 1000104
+1 0 0 0 0 0 1 1 1000103
+1 0 0 0 0 0 1 2 1000102
+1 0 0 0 0 0 1 3 1000103
+1 0 0 0 0 0 1 4 1000104
+1 0 0 0 0 0 1 5 1000105
+1 0 0 0 0 0 1 6 1000106
+1 0 0 0 0 0 1 7 1000107
+1 0 0 0 0 0 1 8 1000108
+1 0 0 0 0 0 1 9 1000109
+1 0 0 0 0 0 1 10 1000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/spher3d_r.xl
new file mode 100644
index 000000000..4c9a66d4e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/spher3d_r.xl
@@ -0,0 +1,36 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 1 1 2 0.3
+0 0 0 0 0 2 1 2 0.6
+0 0 0 0 0 3 1 2 0.9
+0 0 0 0 0 4 1 2 1.2
+0 0 0 0 0 5 1 2 1.5
+0 0 0 0 0 6 1 2 1.8
+0 0 0 0 0 7 1 2 2.1
+0 0 0 0 0 8 1 2 2.4
+0 0 0 0 0 9 1 2 2.7
+0 0 0 0 0 10 1 2 3
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 0
+1 0 0 0 0 1 1 2 0.3
+1 0 0 0 0 2 1 2 0.6
+1 0 0 0 0 3 1 2 0.9
+1 0 0 0 0 4 1 2 1.2
+1 0 0 0 0 5 1 2 1.5
+1 0 0 0 0 6 1 2 1.8
+1 0 0 0 0 7 1 2 2.1
+1 0 0 0 0 8 1 2 2.4
+1 0 0 0 0 9 1 2 2.7
+1 0 0 0 0 10 1 2 3
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/spher3d_r.yl
new file mode 100644
index 000000000..722e6905a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/spher3d_r.yl
@@ -0,0 +1,36 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 0.3
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 0 2 2 0.3
+0 0 0 0 0 0 3 2 0.6
+0 0 0 0 0 0 4 2 0.9
+0 0 0 0 0 0 5 2 1.2
+0 0 0 0 0 0 6 2 1.5
+0 0 0 0 0 0 7 2 1.8
+0 0 0 0 0 0 8 2 2.1
+0 0 0 0 0 0 9 2 2.4
+0 0 0 0 0 0 10 2 2.7
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 0.3
+1 0 0 0 0 0 1 2 0
+1 0 0 0 0 0 2 2 0.3
+1 0 0 0 0 0 3 2 0.6
+1 0 0 0 0 0 4 2 0.9
+1 0 0 0 0 0 5 2 1.2
+1 0 0 0 0 0 6 2 1.5
+1 0 0 0 0 0 7 2 1.8
+1 0 0 0 0 0 8 2 2.1
+1 0 0 0 0 0 9 2 2.4
+1 0 0 0 0 0 10 2 2.7
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/spher3d_r.zl
new file mode 100644
index 000000000..781568212
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/spher3d_r.zl
@@ -0,0 +1,36 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 0.6
+0 0 0 0 0 0 1 1 0.3
+0 0 0 0 0 0 1 2 0
+0 0 0 0 0 0 1 3 0.3
+0 0 0 0 0 0 1 4 0.6
+0 0 0 0 0 0 1 5 0.9
+0 0 0 0 0 0 1 6 1.2
+0 0 0 0 0 0 1 7 1.5
+0 0 0 0 0 0 1 8 1.8
+0 0 0 0 0 0 1 9 2.1
+0 0 0 0 0 0 1 10 2.4
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 0.6
+1 0 0 0 0 0 1 1 0.3
+1 0 0 0 0 0 1 2 0
+1 0 0 0 0 0 1 3 0.3
+1 0 0 0 0 0 1 4 0.6
+1 0 0 0 0 0 1 5 0.9
+1 0 0 0 0 0 1 6 1.2
+1 0 0 0 0 0 1 7 1.5
+1 0 0 0 0 0 1 8 1.8
+1 0 0 0 0 0 1 9 2.1
+1 0 0 0 0 0 1 10 2.4
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txx.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txx.xl
new file mode 100644
index 000000000..2a7acd396
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txx.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::txx x (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 21000102
+0 0 0 0 0 1 1 2 21010102
+0 0 0 0 0 2 1 2 21020102
+0 0 0 0 0 3 1 2 21030102
+0 0 0 0 0 4 1 2 21040102
+0 0 0 0 0 5 1 2 21050102
+0 0 0 0 0 6 1 2 21060102
+0 0 0 0 0 7 1 2 21070102
+0 0 0 0 0 8 1 2 21080102
+0 0 0 0 0 9 1 2 21090102
+0 0 0 0 0 10 1 2 21100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 21000102
+1 0 0 0 0 1 1 2 21010102
+1 0 0 0 0 2 1 2 21020102
+1 0 0 0 0 3 1 2 21030102
+1 0 0 0 0 4 1 2 21040102
+1 0 0 0 0 5 1 2 21050102
+1 0 0 0 0 6 1 2 21060102
+1 0 0 0 0 7 1 2 21070102
+1 0 0 0 0 8 1 2 21080102
+1 0 0 0 0 9 1 2 21090102
+1 0 0 0 0 10 1 2 21100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txx.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txx.yl
new file mode 100644
index 000000000..bfa18ded8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txx.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::txx y (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 21000002
+0 0 0 0 0 0 1 2 21000102
+0 0 0 0 0 0 2 2 21000202
+0 0 0 0 0 0 3 2 21000302
+0 0 0 0 0 0 4 2 21000402
+0 0 0 0 0 0 5 2 21000502
+0 0 0 0 0 0 6 2 21000602
+0 0 0 0 0 0 7 2 21000702
+0 0 0 0 0 0 8 2 21000802
+0 0 0 0 0 0 9 2 21000902
+0 0 0 0 0 0 10 2 21001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 21000202
+1 0 0 0 0 0 1 2 21000102
+1 0 0 0 0 0 2 2 21000202
+1 0 0 0 0 0 3 2 21000302
+1 0 0 0 0 0 4 2 21000402
+1 0 0 0 0 0 5 2 21000502
+1 0 0 0 0 0 6 2 21000602
+1 0 0 0 0 0 7 2 21000702
+1 0 0 0 0 0 8 2 21000802
+1 0 0 0 0 0 9 2 21000902
+1 0 0 0 0 0 10 2 21001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txx.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txx.zl
new file mode 100644
index 000000000..77005e645
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::txx z (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 21000100
+0 0 0 0 0 0 1 1 21000101
+0 0 0 0 0 0 1 2 21000102
+0 0 0 0 0 0 1 3 21000103
+0 0 0 0 0 0 1 4 21000104
+0 0 0 0 0 0 1 5 21000105
+0 0 0 0 0 0 1 6 21000106
+0 0 0 0 0 0 1 7 21000107
+0 0 0 0 0 0 1 8 21000108
+0 0 0 0 0 0 1 9 21000109
+0 0 0 0 0 0 1 10 21000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 21000104
+1 0 0 0 0 0 1 1 21000103
+1 0 0 0 0 0 1 2 21000102
+1 0 0 0 0 0 1 3 21000103
+1 0 0 0 0 0 1 4 21000104
+1 0 0 0 0 0 1 5 21000105
+1 0 0 0 0 0 1 6 21000106
+1 0 0 0 0 0 1 7 21000107
+1 0 0 0 0 0 1 8 21000108
+1 0 0 0 0 0 1 9 21000109
+1 0 0 0 0 0 1 10 21000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txy.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txy.xl
new file mode 100644
index 000000000..cb4bc190a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txy.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::txy x (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 22000102
+0 0 0 0 0 1 1 2 22010102
+0 0 0 0 0 2 1 2 22020102
+0 0 0 0 0 3 1 2 22030102
+0 0 0 0 0 4 1 2 22040102
+0 0 0 0 0 5 1 2 22050102
+0 0 0 0 0 6 1 2 22060102
+0 0 0 0 0 7 1 2 22070102
+0 0 0 0 0 8 1 2 22080102
+0 0 0 0 0 9 1 2 22090102
+0 0 0 0 0 10 1 2 22100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 22000102
+1 0 0 0 0 1 1 2 22010102
+1 0 0 0 0 2 1 2 22020102
+1 0 0 0 0 3 1 2 22030102
+1 0 0 0 0 4 1 2 22040102
+1 0 0 0 0 5 1 2 22050102
+1 0 0 0 0 6 1 2 22060102
+1 0 0 0 0 7 1 2 22070102
+1 0 0 0 0 8 1 2 22080102
+1 0 0 0 0 9 1 2 22090102
+1 0 0 0 0 10 1 2 22100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txy.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txy.yl
new file mode 100644
index 000000000..1127d1167
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txy.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::txy y (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 22000002
+0 0 0 0 0 0 1 2 22000102
+0 0 0 0 0 0 2 2 22000202
+0 0 0 0 0 0 3 2 22000302
+0 0 0 0 0 0 4 2 22000402
+0 0 0 0 0 0 5 2 22000502
+0 0 0 0 0 0 6 2 22000602
+0 0 0 0 0 0 7 2 22000702
+0 0 0 0 0 0 8 2 22000802
+0 0 0 0 0 0 9 2 22000902
+0 0 0 0 0 0 10 2 22001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -22000202
+1 0 0 0 0 0 1 2 22000102
+1 0 0 0 0 0 2 2 22000202
+1 0 0 0 0 0 3 2 22000302
+1 0 0 0 0 0 4 2 22000402
+1 0 0 0 0 0 5 2 22000502
+1 0 0 0 0 0 6 2 22000602
+1 0 0 0 0 0 7 2 22000702
+1 0 0 0 0 0 8 2 22000802
+1 0 0 0 0 0 9 2 22000902
+1 0 0 0 0 0 10 2 22001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txy.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txy.zl
new file mode 100644
index 000000000..051b414e5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::txy z (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 22000100
+0 0 0 0 0 0 1 1 22000101
+0 0 0 0 0 0 1 2 22000102
+0 0 0 0 0 0 1 3 22000103
+0 0 0 0 0 0 1 4 22000104
+0 0 0 0 0 0 1 5 22000105
+0 0 0 0 0 0 1 6 22000106
+0 0 0 0 0 0 1 7 22000107
+0 0 0 0 0 0 1 8 22000108
+0 0 0 0 0 0 1 9 22000109
+0 0 0 0 0 0 1 10 22000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 22000104
+1 0 0 0 0 0 1 1 22000103
+1 0 0 0 0 0 1 2 22000102
+1 0 0 0 0 0 1 3 22000103
+1 0 0 0 0 0 1 4 22000104
+1 0 0 0 0 0 1 5 22000105
+1 0 0 0 0 0 1 6 22000106
+1 0 0 0 0 0 1 7 22000107
+1 0 0 0 0 0 1 8 22000108
+1 0 0 0 0 0 1 9 22000109
+1 0 0 0 0 0 1 10 22000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txz.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txz.xl
new file mode 100644
index 000000000..ca3c81b03
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txz.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::txz x (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 23000102
+0 0 0 0 0 1 1 2 23010102
+0 0 0 0 0 2 1 2 23020102
+0 0 0 0 0 3 1 2 23030102
+0 0 0 0 0 4 1 2 23040102
+0 0 0 0 0 5 1 2 23050102
+0 0 0 0 0 6 1 2 23060102
+0 0 0 0 0 7 1 2 23070102
+0 0 0 0 0 8 1 2 23080102
+0 0 0 0 0 9 1 2 23090102
+0 0 0 0 0 10 1 2 23100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 23000102
+1 0 0 0 0 1 1 2 23010102
+1 0 0 0 0 2 1 2 23020102
+1 0 0 0 0 3 1 2 23030102
+1 0 0 0 0 4 1 2 23040102
+1 0 0 0 0 5 1 2 23050102
+1 0 0 0 0 6 1 2 23060102
+1 0 0 0 0 7 1 2 23070102
+1 0 0 0 0 8 1 2 23080102
+1 0 0 0 0 9 1 2 23090102
+1 0 0 0 0 10 1 2 23100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txz.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txz.yl
new file mode 100644
index 000000000..ba02f601e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txz.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::txz y (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 23000002
+0 0 0 0 0 0 1 2 23000102
+0 0 0 0 0 0 2 2 23000202
+0 0 0 0 0 0 3 2 23000302
+0 0 0 0 0 0 4 2 23000402
+0 0 0 0 0 0 5 2 23000502
+0 0 0 0 0 0 6 2 23000602
+0 0 0 0 0 0 7 2 23000702
+0 0 0 0 0 0 8 2 23000802
+0 0 0 0 0 0 9 2 23000902
+0 0 0 0 0 0 10 2 23001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 23000202
+1 0 0 0 0 0 1 2 23000102
+1 0 0 0 0 0 2 2 23000202
+1 0 0 0 0 0 3 2 23000302
+1 0 0 0 0 0 4 2 23000402
+1 0 0 0 0 0 5 2 23000502
+1 0 0 0 0 0 6 2 23000602
+1 0 0 0 0 0 7 2 23000702
+1 0 0 0 0 0 8 2 23000802
+1 0 0 0 0 0 9 2 23000902
+1 0 0 0 0 0 10 2 23001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txz.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txz.zl
new file mode 100644
index 000000000..85bf29964
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/txz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::txz z (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 23000100
+0 0 0 0 0 0 1 1 23000101
+0 0 0 0 0 0 1 2 23000102
+0 0 0 0 0 0 1 3 23000103
+0 0 0 0 0 0 1 4 23000104
+0 0 0 0 0 0 1 5 23000105
+0 0 0 0 0 0 1 6 23000106
+0 0 0 0 0 0 1 7 23000107
+0 0 0 0 0 0 1 8 23000108
+0 0 0 0 0 0 1 9 23000109
+0 0 0 0 0 0 1 10 23000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -23000104
+1 0 0 0 0 0 1 1 -23000103
+1 0 0 0 0 0 1 2 23000102
+1 0 0 0 0 0 1 3 23000103
+1 0 0 0 0 0 1 4 23000104
+1 0 0 0 0 0 1 5 23000105
+1 0 0 0 0 0 1 6 23000106
+1 0 0 0 0 0 1 7 23000107
+1 0 0 0 0 0 1 8 23000108
+1 0 0 0 0 0 1 9 23000109
+1 0 0 0 0 0 1 10 23000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tyy.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tyy.xl
new file mode 100644
index 000000000..a45ba6419
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tyy.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::tyy x (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 24000102
+0 0 0 0 0 1 1 2 24010102
+0 0 0 0 0 2 1 2 24020102
+0 0 0 0 0 3 1 2 24030102
+0 0 0 0 0 4 1 2 24040102
+0 0 0 0 0 5 1 2 24050102
+0 0 0 0 0 6 1 2 24060102
+0 0 0 0 0 7 1 2 24070102
+0 0 0 0 0 8 1 2 24080102
+0 0 0 0 0 9 1 2 24090102
+0 0 0 0 0 10 1 2 24100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 24000102
+1 0 0 0 0 1 1 2 24010102
+1 0 0 0 0 2 1 2 24020102
+1 0 0 0 0 3 1 2 24030102
+1 0 0 0 0 4 1 2 24040102
+1 0 0 0 0 5 1 2 24050102
+1 0 0 0 0 6 1 2 24060102
+1 0 0 0 0 7 1 2 24070102
+1 0 0 0 0 8 1 2 24080102
+1 0 0 0 0 9 1 2 24090102
+1 0 0 0 0 10 1 2 24100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tyy.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tyy.yl
new file mode 100644
index 000000000..8a853c740
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tyy.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::tyy y (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 24000002
+0 0 0 0 0 0 1 2 24000102
+0 0 0 0 0 0 2 2 24000202
+0 0 0 0 0 0 3 2 24000302
+0 0 0 0 0 0 4 2 24000402
+0 0 0 0 0 0 5 2 24000502
+0 0 0 0 0 0 6 2 24000602
+0 0 0 0 0 0 7 2 24000702
+0 0 0 0 0 0 8 2 24000802
+0 0 0 0 0 0 9 2 24000902
+0 0 0 0 0 0 10 2 24001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 24000202
+1 0 0 0 0 0 1 2 24000102
+1 0 0 0 0 0 2 2 24000202
+1 0 0 0 0 0 3 2 24000302
+1 0 0 0 0 0 4 2 24000402
+1 0 0 0 0 0 5 2 24000502
+1 0 0 0 0 0 6 2 24000602
+1 0 0 0 0 0 7 2 24000702
+1 0 0 0 0 0 8 2 24000802
+1 0 0 0 0 0 9 2 24000902
+1 0 0 0 0 0 10 2 24001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tyy.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tyy.zl
new file mode 100644
index 000000000..5be541034
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tyy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::tyy z (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 24000100
+0 0 0 0 0 0 1 1 24000101
+0 0 0 0 0 0 1 2 24000102
+0 0 0 0 0 0 1 3 24000103
+0 0 0 0 0 0 1 4 24000104
+0 0 0 0 0 0 1 5 24000105
+0 0 0 0 0 0 1 6 24000106
+0 0 0 0 0 0 1 7 24000107
+0 0 0 0 0 0 1 8 24000108
+0 0 0 0 0 0 1 9 24000109
+0 0 0 0 0 0 1 10 24000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 24000104
+1 0 0 0 0 0 1 1 24000103
+1 0 0 0 0 0 1 2 24000102
+1 0 0 0 0 0 1 3 24000103
+1 0 0 0 0 0 1 4 24000104
+1 0 0 0 0 0 1 5 24000105
+1 0 0 0 0 0 1 6 24000106
+1 0 0 0 0 0 1 7 24000107
+1 0 0 0 0 0 1 8 24000108
+1 0 0 0 0 0 1 9 24000109
+1 0 0 0 0 0 1 10 24000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tyz.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tyz.xl
new file mode 100644
index 000000000..5a7236533
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tyz.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::tyz x (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 25000102
+0 0 0 0 0 1 1 2 25010102
+0 0 0 0 0 2 1 2 25020102
+0 0 0 0 0 3 1 2 25030102
+0 0 0 0 0 4 1 2 25040102
+0 0 0 0 0 5 1 2 25050102
+0 0 0 0 0 6 1 2 25060102
+0 0 0 0 0 7 1 2 25070102
+0 0 0 0 0 8 1 2 25080102
+0 0 0 0 0 9 1 2 25090102
+0 0 0 0 0 10 1 2 25100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 25000102
+1 0 0 0 0 1 1 2 25010102
+1 0 0 0 0 2 1 2 25020102
+1 0 0 0 0 3 1 2 25030102
+1 0 0 0 0 4 1 2 25040102
+1 0 0 0 0 5 1 2 25050102
+1 0 0 0 0 6 1 2 25060102
+1 0 0 0 0 7 1 2 25070102
+1 0 0 0 0 8 1 2 25080102
+1 0 0 0 0 9 1 2 25090102
+1 0 0 0 0 10 1 2 25100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tyz.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tyz.yl
new file mode 100644
index 000000000..779258564
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tyz.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::tyz y (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 25000002
+0 0 0 0 0 0 1 2 25000102
+0 0 0 0 0 0 2 2 25000202
+0 0 0 0 0 0 3 2 25000302
+0 0 0 0 0 0 4 2 25000402
+0 0 0 0 0 0 5 2 25000502
+0 0 0 0 0 0 6 2 25000602
+0 0 0 0 0 0 7 2 25000702
+0 0 0 0 0 0 8 2 25000802
+0 0 0 0 0 0 9 2 25000902
+0 0 0 0 0 0 10 2 25001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -25000202
+1 0 0 0 0 0 1 2 25000102
+1 0 0 0 0 0 2 2 25000202
+1 0 0 0 0 0 3 2 25000302
+1 0 0 0 0 0 4 2 25000402
+1 0 0 0 0 0 5 2 25000502
+1 0 0 0 0 0 6 2 25000602
+1 0 0 0 0 0 7 2 25000702
+1 0 0 0 0 0 8 2 25000802
+1 0 0 0 0 0 9 2 25000902
+1 0 0 0 0 0 10 2 25001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tyz.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tyz.zl
new file mode 100644
index 000000000..2ea037af2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tyz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::tyz z (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 25000100
+0 0 0 0 0 0 1 1 25000101
+0 0 0 0 0 0 1 2 25000102
+0 0 0 0 0 0 1 3 25000103
+0 0 0 0 0 0 1 4 25000104
+0 0 0 0 0 0 1 5 25000105
+0 0 0 0 0 0 1 6 25000106
+0 0 0 0 0 0 1 7 25000107
+0 0 0 0 0 0 1 8 25000108
+0 0 0 0 0 0 1 9 25000109
+0 0 0 0 0 0 1 10 25000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -25000104
+1 0 0 0 0 0 1 1 -25000103
+1 0 0 0 0 0 1 2 25000102
+1 0 0 0 0 0 1 3 25000103
+1 0 0 0 0 0 1 4 25000104
+1 0 0 0 0 0 1 5 25000105
+1 0 0 0 0 0 1 6 25000106
+1 0 0 0 0 0 1 7 25000107
+1 0 0 0 0 0 1 8 25000108
+1 0 0 0 0 0 1 9 25000109
+1 0 0 0 0 0 1 10 25000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tzz.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tzz.xl
new file mode 100644
index 000000000..db8d50b94
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tzz.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::tzz x (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 26000102
+0 0 0 0 0 1 1 2 26010102
+0 0 0 0 0 2 1 2 26020102
+0 0 0 0 0 3 1 2 26030102
+0 0 0 0 0 4 1 2 26040102
+0 0 0 0 0 5 1 2 26050102
+0 0 0 0 0 6 1 2 26060102
+0 0 0 0 0 7 1 2 26070102
+0 0 0 0 0 8 1 2 26080102
+0 0 0 0 0 9 1 2 26090102
+0 0 0 0 0 10 1 2 26100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 26000102
+1 0 0 0 0 1 1 2 26010102
+1 0 0 0 0 2 1 2 26020102
+1 0 0 0 0 3 1 2 26030102
+1 0 0 0 0 4 1 2 26040102
+1 0 0 0 0 5 1 2 26050102
+1 0 0 0 0 6 1 2 26060102
+1 0 0 0 0 7 1 2 26070102
+1 0 0 0 0 8 1 2 26080102
+1 0 0 0 0 9 1 2 26090102
+1 0 0 0 0 10 1 2 26100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tzz.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tzz.yl
new file mode 100644
index 000000000..de0ecc32c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tzz.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::tzz y (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 26000002
+0 0 0 0 0 0 1 2 26000102
+0 0 0 0 0 0 2 2 26000202
+0 0 0 0 0 0 3 2 26000302
+0 0 0 0 0 0 4 2 26000402
+0 0 0 0 0 0 5 2 26000502
+0 0 0 0 0 0 6 2 26000602
+0 0 0 0 0 0 7 2 26000702
+0 0 0 0 0 0 8 2 26000802
+0 0 0 0 0 0 9 2 26000902
+0 0 0 0 0 0 10 2 26001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 26000202
+1 0 0 0 0 0 1 2 26000102
+1 0 0 0 0 0 2 2 26000202
+1 0 0 0 0 0 3 2 26000302
+1 0 0 0 0 0 4 2 26000402
+1 0 0 0 0 0 5 2 26000502
+1 0 0 0 0 0 6 2 26000602
+1 0 0 0 0 0 7 2 26000702
+1 0 0 0 0 0 8 2 26000802
+1 0 0 0 0 0 9 2 26000902
+1 0 0 0 0 0 10 2 26001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tzz.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tzz.zl
new file mode 100644
index 000000000..9733fbd8c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/tzz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::tzz z (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 26000100
+0 0 0 0 0 0 1 1 26000101
+0 0 0 0 0 0 1 2 26000102
+0 0 0 0 0 0 1 3 26000103
+0 0 0 0 0 0 1 4 26000104
+0 0 0 0 0 0 1 5 26000105
+0 0 0 0 0 0 1 6 26000106
+0 0 0 0 0 0 1 7 26000107
+0 0 0 0 0 0 1 8 26000108
+0 0 0 0 0 0 1 9 26000109
+0 0 0 0 0 0 1 10 26000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 26000104
+1 0 0 0 0 0 1 1 26000103
+1 0 0 0 0 0 1 2 26000102
+1 0 0 0 0 0 1 3 26000103
+1 0 0 0 0 0 1 4 26000104
+1 0 0 0 0 0 1 5 26000105
+1 0 0 0 0 0 1 6 26000106
+1 0 0 0 0 0 1 7 26000107
+1 0 0 0 0 0 1 8 26000108
+1 0 0 0 0 0 1 9 26000109
+1 0 0 0 0 0 1 10 26000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vx.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vx.xl
new file mode 100644
index 000000000..6195bad6d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vx.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 11000102
+0 0 0 0 0 1 1 2 11010102
+0 0 0 0 0 2 1 2 11020102
+0 0 0 0 0 3 1 2 11030102
+0 0 0 0 0 4 1 2 11040102
+0 0 0 0 0 5 1 2 11050102
+0 0 0 0 0 6 1 2 11060102
+0 0 0 0 0 7 1 2 11070102
+0 0 0 0 0 8 1 2 11080102
+0 0 0 0 0 9 1 2 11090102
+0 0 0 0 0 10 1 2 11100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 11000102
+1 0 0 0 0 1 1 2 11010102
+1 0 0 0 0 2 1 2 11020102
+1 0 0 0 0 3 1 2 11030102
+1 0 0 0 0 4 1 2 11040102
+1 0 0 0 0 5 1 2 11050102
+1 0 0 0 0 6 1 2 11060102
+1 0 0 0 0 7 1 2 11070102
+1 0 0 0 0 8 1 2 11080102
+1 0 0 0 0 9 1 2 11090102
+1 0 0 0 0 10 1 2 11100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vx.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vx.yl
new file mode 100644
index 000000000..fe3882353
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vx.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 11000002
+0 0 0 0 0 0 1 2 11000102
+0 0 0 0 0 0 2 2 11000202
+0 0 0 0 0 0 3 2 11000302
+0 0 0 0 0 0 4 2 11000402
+0 0 0 0 0 0 5 2 11000502
+0 0 0 0 0 0 6 2 11000602
+0 0 0 0 0 0 7 2 11000702
+0 0 0 0 0 0 8 2 11000802
+0 0 0 0 0 0 9 2 11000902
+0 0 0 0 0 0 10 2 11001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 11000202
+1 0 0 0 0 0 1 2 11000102
+1 0 0 0 0 0 2 2 11000202
+1 0 0 0 0 0 3 2 11000302
+1 0 0 0 0 0 4 2 11000402
+1 0 0 0 0 0 5 2 11000502
+1 0 0 0 0 0 6 2 11000602
+1 0 0 0 0 0 7 2 11000702
+1 0 0 0 0 0 8 2 11000802
+1 0 0 0 0 0 9 2 11000902
+1 0 0 0 0 0 10 2 11001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vx.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vx.zl
new file mode 100644
index 000000000..b6428cb50
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 11000100
+0 0 0 0 0 0 1 1 11000101
+0 0 0 0 0 0 1 2 11000102
+0 0 0 0 0 0 1 3 11000103
+0 0 0 0 0 0 1 4 11000104
+0 0 0 0 0 0 1 5 11000105
+0 0 0 0 0 0 1 6 11000106
+0 0 0 0 0 0 1 7 11000107
+0 0 0 0 0 0 1 8 11000108
+0 0 0 0 0 0 1 9 11000109
+0 0 0 0 0 0 1 10 11000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 11000104
+1 0 0 0 0 0 1 1 11000103
+1 0 0 0 0 0 1 2 11000102
+1 0 0 0 0 0 1 3 11000103
+1 0 0 0 0 0 1 4 11000104
+1 0 0 0 0 0 1 5 11000105
+1 0 0 0 0 0 1 6 11000106
+1 0 0 0 0 0 1 7 11000107
+1 0 0 0 0 0 1 8 11000108
+1 0 0 0 0 0 1 9 11000109
+1 0 0 0 0 0 1 10 11000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vy.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vy.xl
new file mode 100644
index 000000000..e412e6447
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vy.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 12000102
+0 0 0 0 0 1 1 2 12010102
+0 0 0 0 0 2 1 2 12020102
+0 0 0 0 0 3 1 2 12030102
+0 0 0 0 0 4 1 2 12040102
+0 0 0 0 0 5 1 2 12050102
+0 0 0 0 0 6 1 2 12060102
+0 0 0 0 0 7 1 2 12070102
+0 0 0 0 0 8 1 2 12080102
+0 0 0 0 0 9 1 2 12090102
+0 0 0 0 0 10 1 2 12100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 12000102
+1 0 0 0 0 1 1 2 12010102
+1 0 0 0 0 2 1 2 12020102
+1 0 0 0 0 3 1 2 12030102
+1 0 0 0 0 4 1 2 12040102
+1 0 0 0 0 5 1 2 12050102
+1 0 0 0 0 6 1 2 12060102
+1 0 0 0 0 7 1 2 12070102
+1 0 0 0 0 8 1 2 12080102
+1 0 0 0 0 9 1 2 12090102
+1 0 0 0 0 10 1 2 12100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vy.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vy.yl
new file mode 100644
index 000000000..887cc8117
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vy.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 12000002
+0 0 0 0 0 0 1 2 12000102
+0 0 0 0 0 0 2 2 12000202
+0 0 0 0 0 0 3 2 12000302
+0 0 0 0 0 0 4 2 12000402
+0 0 0 0 0 0 5 2 12000502
+0 0 0 0 0 0 6 2 12000602
+0 0 0 0 0 0 7 2 12000702
+0 0 0 0 0 0 8 2 12000802
+0 0 0 0 0 0 9 2 12000902
+0 0 0 0 0 0 10 2 12001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -12000202
+1 0 0 0 0 0 1 2 12000102
+1 0 0 0 0 0 2 2 12000202
+1 0 0 0 0 0 3 2 12000302
+1 0 0 0 0 0 4 2 12000402
+1 0 0 0 0 0 5 2 12000502
+1 0 0 0 0 0 6 2 12000602
+1 0 0 0 0 0 7 2 12000702
+1 0 0 0 0 0 8 2 12000802
+1 0 0 0 0 0 9 2 12000902
+1 0 0 0 0 0 10 2 12001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vy.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vy.zl
new file mode 100644
index 000000000..b06a43509
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 12000100
+0 0 0 0 0 0 1 1 12000101
+0 0 0 0 0 0 1 2 12000102
+0 0 0 0 0 0 1 3 12000103
+0 0 0 0 0 0 1 4 12000104
+0 0 0 0 0 0 1 5 12000105
+0 0 0 0 0 0 1 6 12000106
+0 0 0 0 0 0 1 7 12000107
+0 0 0 0 0 0 1 8 12000108
+0 0 0 0 0 0 1 9 12000109
+0 0 0 0 0 0 1 10 12000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 12000104
+1 0 0 0 0 0 1 1 12000103
+1 0 0 0 0 0 1 2 12000102
+1 0 0 0 0 0 1 3 12000103
+1 0 0 0 0 0 1 4 12000104
+1 0 0 0 0 0 1 5 12000105
+1 0 0 0 0 0 1 6 12000106
+1 0 0 0 0 0 1 7 12000107
+1 0 0 0 0 0 1 8 12000108
+1 0 0 0 0 0 1 9 12000109
+1 0 0 0 0 0 1 10 12000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vz.xl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vz.xl
new file mode 100644
index 000000000..ef2e13dce
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vz.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 13000102
+0 0 0 0 0 1 1 2 13010102
+0 0 0 0 0 2 1 2 13020102
+0 0 0 0 0 3 1 2 13030102
+0 0 0 0 0 4 1 2 13040102
+0 0 0 0 0 5 1 2 13050102
+0 0 0 0 0 6 1 2 13060102
+0 0 0 0 0 7 1 2 13070102
+0 0 0 0 0 8 1 2 13080102
+0 0 0 0 0 9 1 2 13090102
+0 0 0 0 0 10 1 2 13100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 13000102
+1 0 0 0 0 1 1 2 13010102
+1 0 0 0 0 2 1 2 13020102
+1 0 0 0 0 3 1 2 13030102
+1 0 0 0 0 4 1 2 13040102
+1 0 0 0 0 5 1 2 13050102
+1 0 0 0 0 6 1 2 13060102
+1 0 0 0 0 7 1 2 13070102
+1 0 0 0 0 8 1 2 13080102
+1 0 0 0 0 9 1 2 13090102
+1 0 0 0 0 10 1 2 13100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vz.yl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vz.yl
new file mode 100644
index 000000000..71089e3e4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vz.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 13000002
+0 0 0 0 0 0 1 2 13000102
+0 0 0 0 0 0 2 2 13000202
+0 0 0 0 0 0 3 2 13000302
+0 0 0 0 0 0 4 2 13000402
+0 0 0 0 0 0 5 2 13000502
+0 0 0 0 0 0 6 2 13000602
+0 0 0 0 0 0 7 2 13000702
+0 0 0 0 0 0 8 2 13000802
+0 0 0 0 0 0 9 2 13000902
+0 0 0 0 0 0 10 2 13001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 13000202
+1 0 0 0 0 0 1 2 13000102
+1 0 0 0 0 0 2 2 13000202
+1 0 0 0 0 0 3 2 13000302
+1 0 0 0 0 0 4 2 13000402
+1 0 0 0 0 0 5 2 13000502
+1 0 0 0 0 0 6 2 13000602
+1 0 0 0 0 0 7 2 13000702
+1 0 0 0 0 0 8 2 13000802
+1 0 0 0 0 0 9 2 13000902
+1 0 0 0 0 0 10 2 13001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vz.zl b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vz.zl
new file mode 100644
index 000000000..fd075658f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven-withorigin/vz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 13000100
+0 0 0 0 0 0 1 1 13000101
+0 0 0 0 0 0 1 2 13000102
+0 0 0 0 0 0 1 3 13000103
+0 0 0 0 0 0 1 4 13000104
+0 0 0 0 0 0 1 5 13000105
+0 0 0 0 0 0 1 6 13000106
+0 0 0 0 0 0 1 7 13000107
+0 0 0 0 0 0 1 8 13000108
+0 0 0 0 0 0 1 9 13000109
+0 0 0 0 0 0 1 10 13000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -13000104
+1 0 0 0 0 0 1 1 -13000103
+1 0 0 0 0 0 1 2 13000102
+1 0 0 0 0 0 1 3 13000103
+1 0 0 0 0 0 1 4 13000104
+1 0 0 0 0 0 1 5 13000105
+1 0 0 0 0 0 1 6 13000106
+1 0 0 0 0 0 1 7 13000107
+1 0 0 0 0 0 1 8 13000108
+1 0 0 0 0 0 1 9 13000109
+1 0 0 0 0 0 1 10 13000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven.log b/CarpetAttic/Cart3dTest/test/octant-eleven.log
new file mode 100644
index 000000000..7fabd2b79
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven.log
@@ -0,0 +1,82 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[10,10,10]:[1,1,1])
+interior=([0,1,2]:[10,9,8]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[10,0,10]:[1,1,1]),([0,1,0]:[10,9,1]:[1,1,1]),([0,10,0]:[10,10,10]:[1,1,1]),([0,1,9]:[10,9,10]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[10,0,10]:[1,1,1]),([0,1,0]:[10,9,1]:[1,1,1]),([0,10,0]:[10,10,10]:[1,1,1]),([0,1,9]:[10,9,10]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[10,10,10]:[1,1,1])
+interior=([0,1,2]:[10,9,8]:[1,1,1])
+boundaries={([0,0,0]:[10,0,10]:[1,1,1]),([0,1,0]:[10,9,1]:[1,1,1]),([0,10,0]:[10,10,10]:[1,1,1]),([0,1,9]:[10,9,10]:[1,1,1])}
+INFO (Cactus): Creating directory: "octant-eleven"
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven.par b/CarpetAttic/Cart3dTest/test/octant-eleven.par
new file mode 100644
index 000000000..ffb25030a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven.par
@@ -0,0 +1,21 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/octant-eleven.par,v 1.3 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 1
+
+grid::type = "byspacing"
+grid::mode = "octant"
+
+driver::global_nx = 11
+driver::global_ny = 11
+driver::global_nz = 11
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "octant-eleven"
+IOASCII::out1D_vars = "grid::coordinates Cart3dTest::quantities"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/ax.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/ax.xl
new file mode 100644
index 000000000..a1d748f4f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/ax.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::ax x (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 31000102
+0 0 0 0 0 1 1 2 31010102
+0 0 0 0 0 2 1 2 31020102
+0 0 0 0 0 3 1 2 31030102
+0 0 0 0 0 4 1 2 31040102
+0 0 0 0 0 5 1 2 31050102
+0 0 0 0 0 6 1 2 31060102
+0 0 0 0 0 7 1 2 31070102
+0 0 0 0 0 8 1 2 31080102
+0 0 0 0 0 9 1 2 31090102
+0 0 0 0 0 10 1 2 31100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 31000102
+1 0 0 0 0 1 1 2 31010102
+1 0 0 0 0 2 1 2 31020102
+1 0 0 0 0 3 1 2 31030102
+1 0 0 0 0 4 1 2 31040102
+1 0 0 0 0 5 1 2 31050102
+1 0 0 0 0 6 1 2 31060102
+1 0 0 0 0 7 1 2 31070102
+1 0 0 0 0 8 1 2 31080102
+1 0 0 0 0 9 1 2 31090102
+1 0 0 0 0 10 1 2 31100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/ax.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/ax.yl
new file mode 100644
index 000000000..5caaf6664
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/ax.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::ax y (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 31000002
+0 0 0 0 0 0 1 2 31000102
+0 0 0 0 0 0 2 2 31000202
+0 0 0 0 0 0 3 2 31000302
+0 0 0 0 0 0 4 2 31000402
+0 0 0 0 0 0 5 2 31000502
+0 0 0 0 0 0 6 2 31000602
+0 0 0 0 0 0 7 2 31000702
+0 0 0 0 0 0 8 2 31000802
+0 0 0 0 0 0 9 2 31000902
+0 0 0 0 0 0 10 2 31001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -31000102
+1 0 0 0 0 0 1 2 31000102
+1 0 0 0 0 0 2 2 31000202
+1 0 0 0 0 0 3 2 31000302
+1 0 0 0 0 0 4 2 31000402
+1 0 0 0 0 0 5 2 31000502
+1 0 0 0 0 0 6 2 31000602
+1 0 0 0 0 0 7 2 31000702
+1 0 0 0 0 0 8 2 31000802
+1 0 0 0 0 0 9 2 31000902
+1 0 0 0 0 0 10 2 31001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/ax.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/ax.zl
new file mode 100644
index 000000000..ca6b292eb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/ax.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::ax z (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 31000100
+0 0 0 0 0 0 1 1 31000101
+0 0 0 0 0 0 1 2 31000102
+0 0 0 0 0 0 1 3 31000103
+0 0 0 0 0 0 1 4 31000104
+0 0 0 0 0 0 1 5 31000105
+0 0 0 0 0 0 1 6 31000106
+0 0 0 0 0 0 1 7 31000107
+0 0 0 0 0 0 1 8 31000108
+0 0 0 0 0 0 1 9 31000109
+0 0 0 0 0 0 1 10 31000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -31000103
+1 0 0 0 0 0 1 1 -31000102
+1 0 0 0 0 0 1 2 31000102
+1 0 0 0 0 0 1 3 31000103
+1 0 0 0 0 0 1 4 31000104
+1 0 0 0 0 0 1 5 31000105
+1 0 0 0 0 0 1 6 31000106
+1 0 0 0 0 0 1 7 31000107
+1 0 0 0 0 0 1 8 31000108
+1 0 0 0 0 0 1 9 31000109
+1 0 0 0 0 0 1 10 31000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/ay.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/ay.xl
new file mode 100644
index 000000000..fec5e47f3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/ay.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::ay x (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 32000102
+0 0 0 0 0 1 1 2 32010102
+0 0 0 0 0 2 1 2 32020102
+0 0 0 0 0 3 1 2 32030102
+0 0 0 0 0 4 1 2 32040102
+0 0 0 0 0 5 1 2 32050102
+0 0 0 0 0 6 1 2 32060102
+0 0 0 0 0 7 1 2 32070102
+0 0 0 0 0 8 1 2 32080102
+0 0 0 0 0 9 1 2 32090102
+0 0 0 0 0 10 1 2 32100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 32000102
+1 0 0 0 0 1 1 2 32010102
+1 0 0 0 0 2 1 2 32020102
+1 0 0 0 0 3 1 2 32030102
+1 0 0 0 0 4 1 2 32040102
+1 0 0 0 0 5 1 2 32050102
+1 0 0 0 0 6 1 2 32060102
+1 0 0 0 0 7 1 2 32070102
+1 0 0 0 0 8 1 2 32080102
+1 0 0 0 0 9 1 2 32090102
+1 0 0 0 0 10 1 2 32100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/ay.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/ay.yl
new file mode 100644
index 000000000..1989f41a8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/ay.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::ay y (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 32000002
+0 0 0 0 0 0 1 2 32000102
+0 0 0 0 0 0 2 2 32000202
+0 0 0 0 0 0 3 2 32000302
+0 0 0 0 0 0 4 2 32000402
+0 0 0 0 0 0 5 2 32000502
+0 0 0 0 0 0 6 2 32000602
+0 0 0 0 0 0 7 2 32000702
+0 0 0 0 0 0 8 2 32000802
+0 0 0 0 0 0 9 2 32000902
+0 0 0 0 0 0 10 2 32001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 32000102
+1 0 0 0 0 0 1 2 32000102
+1 0 0 0 0 0 2 2 32000202
+1 0 0 0 0 0 3 2 32000302
+1 0 0 0 0 0 4 2 32000402
+1 0 0 0 0 0 5 2 32000502
+1 0 0 0 0 0 6 2 32000602
+1 0 0 0 0 0 7 2 32000702
+1 0 0 0 0 0 8 2 32000802
+1 0 0 0 0 0 9 2 32000902
+1 0 0 0 0 0 10 2 32001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/ay.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/ay.zl
new file mode 100644
index 000000000..11ccddfa7
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/ay.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::ay z (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 32000100
+0 0 0 0 0 0 1 1 32000101
+0 0 0 0 0 0 1 2 32000102
+0 0 0 0 0 0 1 3 32000103
+0 0 0 0 0 0 1 4 32000104
+0 0 0 0 0 0 1 5 32000105
+0 0 0 0 0 0 1 6 32000106
+0 0 0 0 0 0 1 7 32000107
+0 0 0 0 0 0 1 8 32000108
+0 0 0 0 0 0 1 9 32000109
+0 0 0 0 0 0 1 10 32000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -32000103
+1 0 0 0 0 0 1 1 -32000102
+1 0 0 0 0 0 1 2 32000102
+1 0 0 0 0 0 1 3 32000103
+1 0 0 0 0 0 1 4 32000104
+1 0 0 0 0 0 1 5 32000105
+1 0 0 0 0 0 1 6 32000106
+1 0 0 0 0 0 1 7 32000107
+1 0 0 0 0 0 1 8 32000108
+1 0 0 0 0 0 1 9 32000109
+1 0 0 0 0 0 1 10 32000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/az.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/az.xl
new file mode 100644
index 000000000..3974b06f0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/az.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::az x (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 33000102
+0 0 0 0 0 1 1 2 33010102
+0 0 0 0 0 2 1 2 33020102
+0 0 0 0 0 3 1 2 33030102
+0 0 0 0 0 4 1 2 33040102
+0 0 0 0 0 5 1 2 33050102
+0 0 0 0 0 6 1 2 33060102
+0 0 0 0 0 7 1 2 33070102
+0 0 0 0 0 8 1 2 33080102
+0 0 0 0 0 9 1 2 33090102
+0 0 0 0 0 10 1 2 33100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 33000102
+1 0 0 0 0 1 1 2 33010102
+1 0 0 0 0 2 1 2 33020102
+1 0 0 0 0 3 1 2 33030102
+1 0 0 0 0 4 1 2 33040102
+1 0 0 0 0 5 1 2 33050102
+1 0 0 0 0 6 1 2 33060102
+1 0 0 0 0 7 1 2 33070102
+1 0 0 0 0 8 1 2 33080102
+1 0 0 0 0 9 1 2 33090102
+1 0 0 0 0 10 1 2 33100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/az.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/az.yl
new file mode 100644
index 000000000..032acea2f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/az.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::az y (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 33000002
+0 0 0 0 0 0 1 2 33000102
+0 0 0 0 0 0 2 2 33000202
+0 0 0 0 0 0 3 2 33000302
+0 0 0 0 0 0 4 2 33000402
+0 0 0 0 0 0 5 2 33000502
+0 0 0 0 0 0 6 2 33000602
+0 0 0 0 0 0 7 2 33000702
+0 0 0 0 0 0 8 2 33000802
+0 0 0 0 0 0 9 2 33000902
+0 0 0 0 0 0 10 2 33001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -33000102
+1 0 0 0 0 0 1 2 33000102
+1 0 0 0 0 0 2 2 33000202
+1 0 0 0 0 0 3 2 33000302
+1 0 0 0 0 0 4 2 33000402
+1 0 0 0 0 0 5 2 33000502
+1 0 0 0 0 0 6 2 33000602
+1 0 0 0 0 0 7 2 33000702
+1 0 0 0 0 0 8 2 33000802
+1 0 0 0 0 0 9 2 33000902
+1 0 0 0 0 0 10 2 33001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/az.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/az.zl
new file mode 100644
index 000000000..728cc5e81
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/az.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::az z (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 33000100
+0 0 0 0 0 0 1 1 33000101
+0 0 0 0 0 0 1 2 33000102
+0 0 0 0 0 0 1 3 33000103
+0 0 0 0 0 0 1 4 33000104
+0 0 0 0 0 0 1 5 33000105
+0 0 0 0 0 0 1 6 33000106
+0 0 0 0 0 0 1 7 33000107
+0 0 0 0 0 0 1 8 33000108
+0 0 0 0 0 0 1 9 33000109
+0 0 0 0 0 0 1 10 33000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 33000103
+1 0 0 0 0 0 1 1 33000102
+1 0 0 0 0 0 1 2 33000102
+1 0 0 0 0 0 1 3 33000103
+1 0 0 0 0 0 1 4 33000104
+1 0 0 0 0 0 1 5 33000105
+1 0 0 0 0 0 1 6 33000106
+1 0 0 0 0 0 1 7 33000107
+1 0 0 0 0 0 1 8 33000108
+1 0 0 0 0 0 1 9 33000109
+1 0 0 0 0 0 1 10 33000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_x.xl
new file mode 100644
index 000000000..c2e221c76
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_x.xl
@@ -0,0 +1,36 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 1 1 2 0.45
+0 0 0 0 0 2 1 2 0.75
+0 0 0 0 0 3 1 2 1.05
+0 0 0 0 0 4 1 2 1.35
+0 0 0 0 0 5 1 2 1.65
+0 0 0 0 0 6 1 2 1.95
+0 0 0 0 0 7 1 2 2.25
+0 0 0 0 0 8 1 2 2.55
+0 0 0 0 0 9 1 2 2.85
+0 0 0 0 0 10 1 2 3.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 1 1 2 0.45
+1 0 0 0 0 2 1 2 0.75
+1 0 0 0 0 3 1 2 1.05
+1 0 0 0 0 4 1 2 1.35
+1 0 0 0 0 5 1 2 1.65
+1 0 0 0 0 6 1 2 1.95
+1 0 0 0 0 7 1 2 2.25
+1 0 0 0 0 8 1 2 2.55
+1 0 0 0 0 9 1 2 2.85
+1 0 0 0 0 10 1 2 3.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_x.yl
new file mode 100644
index 000000000..3d33b5e0c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_x.yl
@@ -0,0 +1,36 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 2 2 0.15
+0 0 0 0 0 0 3 2 0.15
+0 0 0 0 0 0 4 2 0.15
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 0 6 2 0.15
+0 0 0 0 0 0 7 2 0.15
+0 0 0 0 0 0 8 2 0.15
+0 0 0 0 0 0 9 2 0.15
+0 0 0 0 0 0 10 2 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 0.15
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 0 2 2 0.15
+1 0 0 0 0 0 3 2 0.15
+1 0 0 0 0 0 4 2 0.15
+1 0 0 0 0 0 5 2 0.15
+1 0 0 0 0 0 6 2 0.15
+1 0 0 0 0 0 7 2 0.15
+1 0 0 0 0 0 8 2 0.15
+1 0 0 0 0 0 9 2 0.15
+1 0 0 0 0 0 10 2 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_x.zl
new file mode 100644
index 000000000..56eff1431
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_x.zl
@@ -0,0 +1,36 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 0.15
+0 0 0 0 0 0 1 1 0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 1 3 0.15
+0 0 0 0 0 0 1 4 0.15
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 0 1 6 0.15
+0 0 0 0 0 0 1 7 0.15
+0 0 0 0 0 0 1 8 0.15
+0 0 0 0 0 0 1 9 0.15
+0 0 0 0 0 0 1 10 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 0.15
+1 0 0 0 0 0 1 1 0.15
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 0 1 3 0.15
+1 0 0 0 0 0 1 4 0.15
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 0 1 6 0.15
+1 0 0 0 0 0 1 7 0.15
+1 0 0 0 0 0 1 8 0.15
+1 0 0 0 0 0 1 9 0.15
+1 0 0 0 0 0 1 10 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_y.xl
new file mode 100644
index 000000000..154eddabc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_y.xl
@@ -0,0 +1,36 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 1 1 2 0.15
+0 0 0 0 0 2 1 2 0.15
+0 0 0 0 0 3 1 2 0.15
+0 0 0 0 0 4 1 2 0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 6 1 2 0.15
+0 0 0 0 0 7 1 2 0.15
+0 0 0 0 0 8 1 2 0.15
+0 0 0 0 0 9 1 2 0.15
+0 0 0 0 0 10 1 2 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 1 1 2 0.15
+1 0 0 0 0 2 1 2 0.15
+1 0 0 0 0 3 1 2 0.15
+1 0 0 0 0 4 1 2 0.15
+1 0 0 0 0 5 1 2 0.15
+1 0 0 0 0 6 1 2 0.15
+1 0 0 0 0 7 1 2 0.15
+1 0 0 0 0 8 1 2 0.15
+1 0 0 0 0 9 1 2 0.15
+1 0 0 0 0 10 1 2 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_y.yl
new file mode 100644
index 000000000..ff44311ad
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_y.yl
@@ -0,0 +1,36 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 -0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 2 2 0.45
+0 0 0 0 0 0 3 2 0.75
+0 0 0 0 0 0 4 2 1.05
+0 0 0 0 0 0 5 2 1.35
+0 0 0 0 0 0 6 2 1.65
+0 0 0 0 0 0 7 2 1.95
+0 0 0 0 0 0 8 2 2.25
+0 0 0 0 0 0 9 2 2.55
+0 0 0 0 0 0 10 2 2.85
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -0.15
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 0 2 2 0.45
+1 0 0 0 0 0 3 2 0.75
+1 0 0 0 0 0 4 2 1.05
+1 0 0 0 0 0 5 2 1.35
+1 0 0 0 0 0 6 2 1.65
+1 0 0 0 0 0 7 2 1.95
+1 0 0 0 0 0 8 2 2.25
+1 0 0 0 0 0 9 2 2.55
+1 0 0 0 0 0 10 2 2.85
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_y.zl
new file mode 100644
index 000000000..7d6b5298a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_y.zl
@@ -0,0 +1,36 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 0.15
+0 0 0 0 0 0 1 1 0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 1 3 0.15
+0 0 0 0 0 0 1 4 0.15
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 0 1 6 0.15
+0 0 0 0 0 0 1 7 0.15
+0 0 0 0 0 0 1 8 0.15
+0 0 0 0 0 0 1 9 0.15
+0 0 0 0 0 0 1 10 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 0.15
+1 0 0 0 0 0 1 1 0.15
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 0 1 3 0.15
+1 0 0 0 0 0 1 4 0.15
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 0 1 6 0.15
+1 0 0 0 0 0 1 7 0.15
+1 0 0 0 0 0 1 8 0.15
+1 0 0 0 0 0 1 9 0.15
+1 0 0 0 0 0 1 10 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_z.xl
new file mode 100644
index 000000000..d2dc2fcb5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_z.xl
@@ -0,0 +1,36 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 1 1 2 0.15
+0 0 0 0 0 2 1 2 0.15
+0 0 0 0 0 3 1 2 0.15
+0 0 0 0 0 4 1 2 0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 6 1 2 0.15
+0 0 0 0 0 7 1 2 0.15
+0 0 0 0 0 8 1 2 0.15
+0 0 0 0 0 9 1 2 0.15
+0 0 0 0 0 10 1 2 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 1 1 2 0.15
+1 0 0 0 0 2 1 2 0.15
+1 0 0 0 0 3 1 2 0.15
+1 0 0 0 0 4 1 2 0.15
+1 0 0 0 0 5 1 2 0.15
+1 0 0 0 0 6 1 2 0.15
+1 0 0 0 0 7 1 2 0.15
+1 0 0 0 0 8 1 2 0.15
+1 0 0 0 0 9 1 2 0.15
+1 0 0 0 0 10 1 2 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_z.yl
new file mode 100644
index 000000000..4ae46c8ec
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_z.yl
@@ -0,0 +1,36 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 2 2 0.15
+0 0 0 0 0 0 3 2 0.15
+0 0 0 0 0 0 4 2 0.15
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 0 6 2 0.15
+0 0 0 0 0 0 7 2 0.15
+0 0 0 0 0 0 8 2 0.15
+0 0 0 0 0 0 9 2 0.15
+0 0 0 0 0 0 10 2 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 0.15
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 0 2 2 0.15
+1 0 0 0 0 0 3 2 0.15
+1 0 0 0 0 0 4 2 0.15
+1 0 0 0 0 0 5 2 0.15
+1 0 0 0 0 0 6 2 0.15
+1 0 0 0 0 0 7 2 0.15
+1 0 0 0 0 0 8 2 0.15
+1 0 0 0 0 0 9 2 0.15
+1 0 0 0 0 0 10 2 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_z.zl
new file mode 100644
index 000000000..cf6ef3be0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/cart3d_z.zl
@@ -0,0 +1,36 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 -0.45
+0 0 0 0 0 0 1 1 -0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 1 3 0.45
+0 0 0 0 0 0 1 4 0.75
+0 0 0 0 0 0 1 5 1.05
+0 0 0 0 0 0 1 6 1.35
+0 0 0 0 0 0 1 7 1.65
+0 0 0 0 0 0 1 8 1.95
+0 0 0 0 0 0 1 9 2.25
+0 0 0 0 0 0 1 10 2.55
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -0.45
+1 0 0 0 0 0 1 1 -0.15
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 0 1 3 0.45
+1 0 0 0 0 0 1 4 0.75
+1 0 0 0 0 0 1 5 1.05
+1 0 0 0 0 0 1 6 1.35
+1 0 0 0 0 0 1 7 1.65
+1 0 0 0 0 0 1 8 1.95
+1 0 0 0 0 0 1 9 2.25
+1 0 0 0 0 0 1 10 2.55
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fxx.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/fxx.xl
new file mode 100644
index 000000000..266573f9b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fxx.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxx x (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 41000102
+0 0 0 0 0 1 1 2 41010102
+0 0 0 0 0 2 1 2 41020102
+0 0 0 0 0 3 1 2 41030102
+0 0 0 0 0 4 1 2 41040102
+0 0 0 0 0 5 1 2 41050102
+0 0 0 0 0 6 1 2 41060102
+0 0 0 0 0 7 1 2 41070102
+0 0 0 0 0 8 1 2 41080102
+0 0 0 0 0 9 1 2 41090102
+0 0 0 0 0 10 1 2 41100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 41000102
+1 0 0 0 0 1 1 2 41010102
+1 0 0 0 0 2 1 2 41020102
+1 0 0 0 0 3 1 2 41030102
+1 0 0 0 0 4 1 2 41040102
+1 0 0 0 0 5 1 2 41050102
+1 0 0 0 0 6 1 2 41060102
+1 0 0 0 0 7 1 2 41070102
+1 0 0 0 0 8 1 2 41080102
+1 0 0 0 0 9 1 2 41090102
+1 0 0 0 0 10 1 2 41100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fxx.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/fxx.yl
new file mode 100644
index 000000000..6b8b8691d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fxx.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxx y (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 41000002
+0 0 0 0 0 0 1 2 41000102
+0 0 0 0 0 0 2 2 41000202
+0 0 0 0 0 0 3 2 41000302
+0 0 0 0 0 0 4 2 41000402
+0 0 0 0 0 0 5 2 41000502
+0 0 0 0 0 0 6 2 41000602
+0 0 0 0 0 0 7 2 41000702
+0 0 0 0 0 0 8 2 41000802
+0 0 0 0 0 0 9 2 41000902
+0 0 0 0 0 0 10 2 41001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 41000102
+1 0 0 0 0 0 1 2 41000102
+1 0 0 0 0 0 2 2 41000202
+1 0 0 0 0 0 3 2 41000302
+1 0 0 0 0 0 4 2 41000402
+1 0 0 0 0 0 5 2 41000502
+1 0 0 0 0 0 6 2 41000602
+1 0 0 0 0 0 7 2 41000702
+1 0 0 0 0 0 8 2 41000802
+1 0 0 0 0 0 9 2 41000902
+1 0 0 0 0 0 10 2 41001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fxx.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/fxx.zl
new file mode 100644
index 000000000..f9b974cc8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fxx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxx z (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 41000100
+0 0 0 0 0 0 1 1 41000101
+0 0 0 0 0 0 1 2 41000102
+0 0 0 0 0 0 1 3 41000103
+0 0 0 0 0 0 1 4 41000104
+0 0 0 0 0 0 1 5 41000105
+0 0 0 0 0 0 1 6 41000106
+0 0 0 0 0 0 1 7 41000107
+0 0 0 0 0 0 1 8 41000108
+0 0 0 0 0 0 1 9 41000109
+0 0 0 0 0 0 1 10 41000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 41000103
+1 0 0 0 0 0 1 1 41000102
+1 0 0 0 0 0 1 2 41000102
+1 0 0 0 0 0 1 3 41000103
+1 0 0 0 0 0 1 4 41000104
+1 0 0 0 0 0 1 5 41000105
+1 0 0 0 0 0 1 6 41000106
+1 0 0 0 0 0 1 7 41000107
+1 0 0 0 0 0 1 8 41000108
+1 0 0 0 0 0 1 9 41000109
+1 0 0 0 0 0 1 10 41000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fxy.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/fxy.xl
new file mode 100644
index 000000000..f315b8097
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fxy.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxy x (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 42000102
+0 0 0 0 0 1 1 2 42010102
+0 0 0 0 0 2 1 2 42020102
+0 0 0 0 0 3 1 2 42030102
+0 0 0 0 0 4 1 2 42040102
+0 0 0 0 0 5 1 2 42050102
+0 0 0 0 0 6 1 2 42060102
+0 0 0 0 0 7 1 2 42070102
+0 0 0 0 0 8 1 2 42080102
+0 0 0 0 0 9 1 2 42090102
+0 0 0 0 0 10 1 2 42100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 42000102
+1 0 0 0 0 1 1 2 42010102
+1 0 0 0 0 2 1 2 42020102
+1 0 0 0 0 3 1 2 42030102
+1 0 0 0 0 4 1 2 42040102
+1 0 0 0 0 5 1 2 42050102
+1 0 0 0 0 6 1 2 42060102
+1 0 0 0 0 7 1 2 42070102
+1 0 0 0 0 8 1 2 42080102
+1 0 0 0 0 9 1 2 42090102
+1 0 0 0 0 10 1 2 42100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fxy.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/fxy.yl
new file mode 100644
index 000000000..302195810
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fxy.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxy y (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 42000002
+0 0 0 0 0 0 1 2 42000102
+0 0 0 0 0 0 2 2 42000202
+0 0 0 0 0 0 3 2 42000302
+0 0 0 0 0 0 4 2 42000402
+0 0 0 0 0 0 5 2 42000502
+0 0 0 0 0 0 6 2 42000602
+0 0 0 0 0 0 7 2 42000702
+0 0 0 0 0 0 8 2 42000802
+0 0 0 0 0 0 9 2 42000902
+0 0 0 0 0 0 10 2 42001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -42000102
+1 0 0 0 0 0 1 2 42000102
+1 0 0 0 0 0 2 2 42000202
+1 0 0 0 0 0 3 2 42000302
+1 0 0 0 0 0 4 2 42000402
+1 0 0 0 0 0 5 2 42000502
+1 0 0 0 0 0 6 2 42000602
+1 0 0 0 0 0 7 2 42000702
+1 0 0 0 0 0 8 2 42000802
+1 0 0 0 0 0 9 2 42000902
+1 0 0 0 0 0 10 2 42001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fxy.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/fxy.zl
new file mode 100644
index 000000000..ea26cc209
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fxy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxy z (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 42000100
+0 0 0 0 0 0 1 1 42000101
+0 0 0 0 0 0 1 2 42000102
+0 0 0 0 0 0 1 3 42000103
+0 0 0 0 0 0 1 4 42000104
+0 0 0 0 0 0 1 5 42000105
+0 0 0 0 0 0 1 6 42000106
+0 0 0 0 0 0 1 7 42000107
+0 0 0 0 0 0 1 8 42000108
+0 0 0 0 0 0 1 9 42000109
+0 0 0 0 0 0 1 10 42000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 42000103
+1 0 0 0 0 0 1 1 42000102
+1 0 0 0 0 0 1 2 42000102
+1 0 0 0 0 0 1 3 42000103
+1 0 0 0 0 0 1 4 42000104
+1 0 0 0 0 0 1 5 42000105
+1 0 0 0 0 0 1 6 42000106
+1 0 0 0 0 0 1 7 42000107
+1 0 0 0 0 0 1 8 42000108
+1 0 0 0 0 0 1 9 42000109
+1 0 0 0 0 0 1 10 42000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fxz.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/fxz.xl
new file mode 100644
index 000000000..bc4675df1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fxz.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxz x (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 43000102
+0 0 0 0 0 1 1 2 43010102
+0 0 0 0 0 2 1 2 43020102
+0 0 0 0 0 3 1 2 43030102
+0 0 0 0 0 4 1 2 43040102
+0 0 0 0 0 5 1 2 43050102
+0 0 0 0 0 6 1 2 43060102
+0 0 0 0 0 7 1 2 43070102
+0 0 0 0 0 8 1 2 43080102
+0 0 0 0 0 9 1 2 43090102
+0 0 0 0 0 10 1 2 43100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 43000102
+1 0 0 0 0 1 1 2 43010102
+1 0 0 0 0 2 1 2 43020102
+1 0 0 0 0 3 1 2 43030102
+1 0 0 0 0 4 1 2 43040102
+1 0 0 0 0 5 1 2 43050102
+1 0 0 0 0 6 1 2 43060102
+1 0 0 0 0 7 1 2 43070102
+1 0 0 0 0 8 1 2 43080102
+1 0 0 0 0 9 1 2 43090102
+1 0 0 0 0 10 1 2 43100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fxz.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/fxz.yl
new file mode 100644
index 000000000..c41b93a9f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fxz.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxz y (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 43000002
+0 0 0 0 0 0 1 2 43000102
+0 0 0 0 0 0 2 2 43000202
+0 0 0 0 0 0 3 2 43000302
+0 0 0 0 0 0 4 2 43000402
+0 0 0 0 0 0 5 2 43000502
+0 0 0 0 0 0 6 2 43000602
+0 0 0 0 0 0 7 2 43000702
+0 0 0 0 0 0 8 2 43000802
+0 0 0 0 0 0 9 2 43000902
+0 0 0 0 0 0 10 2 43001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 43000102
+1 0 0 0 0 0 1 2 43000102
+1 0 0 0 0 0 2 2 43000202
+1 0 0 0 0 0 3 2 43000302
+1 0 0 0 0 0 4 2 43000402
+1 0 0 0 0 0 5 2 43000502
+1 0 0 0 0 0 6 2 43000602
+1 0 0 0 0 0 7 2 43000702
+1 0 0 0 0 0 8 2 43000802
+1 0 0 0 0 0 9 2 43000902
+1 0 0 0 0 0 10 2 43001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fxz.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/fxz.zl
new file mode 100644
index 000000000..dc0e90985
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fxz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fxz z (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 43000100
+0 0 0 0 0 0 1 1 43000101
+0 0 0 0 0 0 1 2 43000102
+0 0 0 0 0 0 1 3 43000103
+0 0 0 0 0 0 1 4 43000104
+0 0 0 0 0 0 1 5 43000105
+0 0 0 0 0 0 1 6 43000106
+0 0 0 0 0 0 1 7 43000107
+0 0 0 0 0 0 1 8 43000108
+0 0 0 0 0 0 1 9 43000109
+0 0 0 0 0 0 1 10 43000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -43000103
+1 0 0 0 0 0 1 1 -43000102
+1 0 0 0 0 0 1 2 43000102
+1 0 0 0 0 0 1 3 43000103
+1 0 0 0 0 0 1 4 43000104
+1 0 0 0 0 0 1 5 43000105
+1 0 0 0 0 0 1 6 43000106
+1 0 0 0 0 0 1 7 43000107
+1 0 0 0 0 0 1 8 43000108
+1 0 0 0 0 0 1 9 43000109
+1 0 0 0 0 0 1 10 43000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fyx.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/fyx.xl
new file mode 100644
index 000000000..c38026a7d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fyx.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyx x (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 44000102
+0 0 0 0 0 1 1 2 44010102
+0 0 0 0 0 2 1 2 44020102
+0 0 0 0 0 3 1 2 44030102
+0 0 0 0 0 4 1 2 44040102
+0 0 0 0 0 5 1 2 44050102
+0 0 0 0 0 6 1 2 44060102
+0 0 0 0 0 7 1 2 44070102
+0 0 0 0 0 8 1 2 44080102
+0 0 0 0 0 9 1 2 44090102
+0 0 0 0 0 10 1 2 44100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 44000102
+1 0 0 0 0 1 1 2 44010102
+1 0 0 0 0 2 1 2 44020102
+1 0 0 0 0 3 1 2 44030102
+1 0 0 0 0 4 1 2 44040102
+1 0 0 0 0 5 1 2 44050102
+1 0 0 0 0 6 1 2 44060102
+1 0 0 0 0 7 1 2 44070102
+1 0 0 0 0 8 1 2 44080102
+1 0 0 0 0 9 1 2 44090102
+1 0 0 0 0 10 1 2 44100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fyx.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/fyx.yl
new file mode 100644
index 000000000..9e76c1d37
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fyx.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyx y (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 44000002
+0 0 0 0 0 0 1 2 44000102
+0 0 0 0 0 0 2 2 44000202
+0 0 0 0 0 0 3 2 44000302
+0 0 0 0 0 0 4 2 44000402
+0 0 0 0 0 0 5 2 44000502
+0 0 0 0 0 0 6 2 44000602
+0 0 0 0 0 0 7 2 44000702
+0 0 0 0 0 0 8 2 44000802
+0 0 0 0 0 0 9 2 44000902
+0 0 0 0 0 0 10 2 44001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -44000102
+1 0 0 0 0 0 1 2 44000102
+1 0 0 0 0 0 2 2 44000202
+1 0 0 0 0 0 3 2 44000302
+1 0 0 0 0 0 4 2 44000402
+1 0 0 0 0 0 5 2 44000502
+1 0 0 0 0 0 6 2 44000602
+1 0 0 0 0 0 7 2 44000702
+1 0 0 0 0 0 8 2 44000802
+1 0 0 0 0 0 9 2 44000902
+1 0 0 0 0 0 10 2 44001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fyx.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/fyx.zl
new file mode 100644
index 000000000..242f5c0d4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fyx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyx z (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 44000100
+0 0 0 0 0 0 1 1 44000101
+0 0 0 0 0 0 1 2 44000102
+0 0 0 0 0 0 1 3 44000103
+0 0 0 0 0 0 1 4 44000104
+0 0 0 0 0 0 1 5 44000105
+0 0 0 0 0 0 1 6 44000106
+0 0 0 0 0 0 1 7 44000107
+0 0 0 0 0 0 1 8 44000108
+0 0 0 0 0 0 1 9 44000109
+0 0 0 0 0 0 1 10 44000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 44000103
+1 0 0 0 0 0 1 1 44000102
+1 0 0 0 0 0 1 2 44000102
+1 0 0 0 0 0 1 3 44000103
+1 0 0 0 0 0 1 4 44000104
+1 0 0 0 0 0 1 5 44000105
+1 0 0 0 0 0 1 6 44000106
+1 0 0 0 0 0 1 7 44000107
+1 0 0 0 0 0 1 8 44000108
+1 0 0 0 0 0 1 9 44000109
+1 0 0 0 0 0 1 10 44000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fyy.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/fyy.xl
new file mode 100644
index 000000000..11f11db67
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fyy.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyy x (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 45000102
+0 0 0 0 0 1 1 2 45010102
+0 0 0 0 0 2 1 2 45020102
+0 0 0 0 0 3 1 2 45030102
+0 0 0 0 0 4 1 2 45040102
+0 0 0 0 0 5 1 2 45050102
+0 0 0 0 0 6 1 2 45060102
+0 0 0 0 0 7 1 2 45070102
+0 0 0 0 0 8 1 2 45080102
+0 0 0 0 0 9 1 2 45090102
+0 0 0 0 0 10 1 2 45100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 45000102
+1 0 0 0 0 1 1 2 45010102
+1 0 0 0 0 2 1 2 45020102
+1 0 0 0 0 3 1 2 45030102
+1 0 0 0 0 4 1 2 45040102
+1 0 0 0 0 5 1 2 45050102
+1 0 0 0 0 6 1 2 45060102
+1 0 0 0 0 7 1 2 45070102
+1 0 0 0 0 8 1 2 45080102
+1 0 0 0 0 9 1 2 45090102
+1 0 0 0 0 10 1 2 45100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fyy.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/fyy.yl
new file mode 100644
index 000000000..08a3b86be
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fyy.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyy y (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 45000002
+0 0 0 0 0 0 1 2 45000102
+0 0 0 0 0 0 2 2 45000202
+0 0 0 0 0 0 3 2 45000302
+0 0 0 0 0 0 4 2 45000402
+0 0 0 0 0 0 5 2 45000502
+0 0 0 0 0 0 6 2 45000602
+0 0 0 0 0 0 7 2 45000702
+0 0 0 0 0 0 8 2 45000802
+0 0 0 0 0 0 9 2 45000902
+0 0 0 0 0 0 10 2 45001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 45000102
+1 0 0 0 0 0 1 2 45000102
+1 0 0 0 0 0 2 2 45000202
+1 0 0 0 0 0 3 2 45000302
+1 0 0 0 0 0 4 2 45000402
+1 0 0 0 0 0 5 2 45000502
+1 0 0 0 0 0 6 2 45000602
+1 0 0 0 0 0 7 2 45000702
+1 0 0 0 0 0 8 2 45000802
+1 0 0 0 0 0 9 2 45000902
+1 0 0 0 0 0 10 2 45001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fyy.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/fyy.zl
new file mode 100644
index 000000000..49601c6e2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fyy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyy z (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 45000100
+0 0 0 0 0 0 1 1 45000101
+0 0 0 0 0 0 1 2 45000102
+0 0 0 0 0 0 1 3 45000103
+0 0 0 0 0 0 1 4 45000104
+0 0 0 0 0 0 1 5 45000105
+0 0 0 0 0 0 1 6 45000106
+0 0 0 0 0 0 1 7 45000107
+0 0 0 0 0 0 1 8 45000108
+0 0 0 0 0 0 1 9 45000109
+0 0 0 0 0 0 1 10 45000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 45000103
+1 0 0 0 0 0 1 1 45000102
+1 0 0 0 0 0 1 2 45000102
+1 0 0 0 0 0 1 3 45000103
+1 0 0 0 0 0 1 4 45000104
+1 0 0 0 0 0 1 5 45000105
+1 0 0 0 0 0 1 6 45000106
+1 0 0 0 0 0 1 7 45000107
+1 0 0 0 0 0 1 8 45000108
+1 0 0 0 0 0 1 9 45000109
+1 0 0 0 0 0 1 10 45000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fyz.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/fyz.xl
new file mode 100644
index 000000000..c96acccbe
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fyz.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyz x (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 46000102
+0 0 0 0 0 1 1 2 46010102
+0 0 0 0 0 2 1 2 46020102
+0 0 0 0 0 3 1 2 46030102
+0 0 0 0 0 4 1 2 46040102
+0 0 0 0 0 5 1 2 46050102
+0 0 0 0 0 6 1 2 46060102
+0 0 0 0 0 7 1 2 46070102
+0 0 0 0 0 8 1 2 46080102
+0 0 0 0 0 9 1 2 46090102
+0 0 0 0 0 10 1 2 46100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 46000102
+1 0 0 0 0 1 1 2 46010102
+1 0 0 0 0 2 1 2 46020102
+1 0 0 0 0 3 1 2 46030102
+1 0 0 0 0 4 1 2 46040102
+1 0 0 0 0 5 1 2 46050102
+1 0 0 0 0 6 1 2 46060102
+1 0 0 0 0 7 1 2 46070102
+1 0 0 0 0 8 1 2 46080102
+1 0 0 0 0 9 1 2 46090102
+1 0 0 0 0 10 1 2 46100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fyz.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/fyz.yl
new file mode 100644
index 000000000..0ff6342cb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fyz.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyz y (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 46000002
+0 0 0 0 0 0 1 2 46000102
+0 0 0 0 0 0 2 2 46000202
+0 0 0 0 0 0 3 2 46000302
+0 0 0 0 0 0 4 2 46000402
+0 0 0 0 0 0 5 2 46000502
+0 0 0 0 0 0 6 2 46000602
+0 0 0 0 0 0 7 2 46000702
+0 0 0 0 0 0 8 2 46000802
+0 0 0 0 0 0 9 2 46000902
+0 0 0 0 0 0 10 2 46001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -46000102
+1 0 0 0 0 0 1 2 46000102
+1 0 0 0 0 0 2 2 46000202
+1 0 0 0 0 0 3 2 46000302
+1 0 0 0 0 0 4 2 46000402
+1 0 0 0 0 0 5 2 46000502
+1 0 0 0 0 0 6 2 46000602
+1 0 0 0 0 0 7 2 46000702
+1 0 0 0 0 0 8 2 46000802
+1 0 0 0 0 0 9 2 46000902
+1 0 0 0 0 0 10 2 46001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fyz.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/fyz.zl
new file mode 100644
index 000000000..3a0900777
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fyz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fyz z (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 46000100
+0 0 0 0 0 0 1 1 46000101
+0 0 0 0 0 0 1 2 46000102
+0 0 0 0 0 0 1 3 46000103
+0 0 0 0 0 0 1 4 46000104
+0 0 0 0 0 0 1 5 46000105
+0 0 0 0 0 0 1 6 46000106
+0 0 0 0 0 0 1 7 46000107
+0 0 0 0 0 0 1 8 46000108
+0 0 0 0 0 0 1 9 46000109
+0 0 0 0 0 0 1 10 46000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -46000103
+1 0 0 0 0 0 1 1 -46000102
+1 0 0 0 0 0 1 2 46000102
+1 0 0 0 0 0 1 3 46000103
+1 0 0 0 0 0 1 4 46000104
+1 0 0 0 0 0 1 5 46000105
+1 0 0 0 0 0 1 6 46000106
+1 0 0 0 0 0 1 7 46000107
+1 0 0 0 0 0 1 8 46000108
+1 0 0 0 0 0 1 9 46000109
+1 0 0 0 0 0 1 10 46000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fzx.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/fzx.xl
new file mode 100644
index 000000000..060b7b61b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fzx.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzx x (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 47000102
+0 0 0 0 0 1 1 2 47010102
+0 0 0 0 0 2 1 2 47020102
+0 0 0 0 0 3 1 2 47030102
+0 0 0 0 0 4 1 2 47040102
+0 0 0 0 0 5 1 2 47050102
+0 0 0 0 0 6 1 2 47060102
+0 0 0 0 0 7 1 2 47070102
+0 0 0 0 0 8 1 2 47080102
+0 0 0 0 0 9 1 2 47090102
+0 0 0 0 0 10 1 2 47100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 47000102
+1 0 0 0 0 1 1 2 47010102
+1 0 0 0 0 2 1 2 47020102
+1 0 0 0 0 3 1 2 47030102
+1 0 0 0 0 4 1 2 47040102
+1 0 0 0 0 5 1 2 47050102
+1 0 0 0 0 6 1 2 47060102
+1 0 0 0 0 7 1 2 47070102
+1 0 0 0 0 8 1 2 47080102
+1 0 0 0 0 9 1 2 47090102
+1 0 0 0 0 10 1 2 47100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fzx.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/fzx.yl
new file mode 100644
index 000000000..b677639ac
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fzx.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzx y (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 47000002
+0 0 0 0 0 0 1 2 47000102
+0 0 0 0 0 0 2 2 47000202
+0 0 0 0 0 0 3 2 47000302
+0 0 0 0 0 0 4 2 47000402
+0 0 0 0 0 0 5 2 47000502
+0 0 0 0 0 0 6 2 47000602
+0 0 0 0 0 0 7 2 47000702
+0 0 0 0 0 0 8 2 47000802
+0 0 0 0 0 0 9 2 47000902
+0 0 0 0 0 0 10 2 47001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 47000102
+1 0 0 0 0 0 1 2 47000102
+1 0 0 0 0 0 2 2 47000202
+1 0 0 0 0 0 3 2 47000302
+1 0 0 0 0 0 4 2 47000402
+1 0 0 0 0 0 5 2 47000502
+1 0 0 0 0 0 6 2 47000602
+1 0 0 0 0 0 7 2 47000702
+1 0 0 0 0 0 8 2 47000802
+1 0 0 0 0 0 9 2 47000902
+1 0 0 0 0 0 10 2 47001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fzx.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/fzx.zl
new file mode 100644
index 000000000..73b6d6f65
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fzx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzx z (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 47000100
+0 0 0 0 0 0 1 1 47000101
+0 0 0 0 0 0 1 2 47000102
+0 0 0 0 0 0 1 3 47000103
+0 0 0 0 0 0 1 4 47000104
+0 0 0 0 0 0 1 5 47000105
+0 0 0 0 0 0 1 6 47000106
+0 0 0 0 0 0 1 7 47000107
+0 0 0 0 0 0 1 8 47000108
+0 0 0 0 0 0 1 9 47000109
+0 0 0 0 0 0 1 10 47000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -47000103
+1 0 0 0 0 0 1 1 -47000102
+1 0 0 0 0 0 1 2 47000102
+1 0 0 0 0 0 1 3 47000103
+1 0 0 0 0 0 1 4 47000104
+1 0 0 0 0 0 1 5 47000105
+1 0 0 0 0 0 1 6 47000106
+1 0 0 0 0 0 1 7 47000107
+1 0 0 0 0 0 1 8 47000108
+1 0 0 0 0 0 1 9 47000109
+1 0 0 0 0 0 1 10 47000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fzy.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/fzy.xl
new file mode 100644
index 000000000..bde18cfcb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fzy.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzy x (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 48000102
+0 0 0 0 0 1 1 2 48010102
+0 0 0 0 0 2 1 2 48020102
+0 0 0 0 0 3 1 2 48030102
+0 0 0 0 0 4 1 2 48040102
+0 0 0 0 0 5 1 2 48050102
+0 0 0 0 0 6 1 2 48060102
+0 0 0 0 0 7 1 2 48070102
+0 0 0 0 0 8 1 2 48080102
+0 0 0 0 0 9 1 2 48090102
+0 0 0 0 0 10 1 2 48100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 48000102
+1 0 0 0 0 1 1 2 48010102
+1 0 0 0 0 2 1 2 48020102
+1 0 0 0 0 3 1 2 48030102
+1 0 0 0 0 4 1 2 48040102
+1 0 0 0 0 5 1 2 48050102
+1 0 0 0 0 6 1 2 48060102
+1 0 0 0 0 7 1 2 48070102
+1 0 0 0 0 8 1 2 48080102
+1 0 0 0 0 9 1 2 48090102
+1 0 0 0 0 10 1 2 48100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fzy.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/fzy.yl
new file mode 100644
index 000000000..b00fb29f1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fzy.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzy y (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 48000002
+0 0 0 0 0 0 1 2 48000102
+0 0 0 0 0 0 2 2 48000202
+0 0 0 0 0 0 3 2 48000302
+0 0 0 0 0 0 4 2 48000402
+0 0 0 0 0 0 5 2 48000502
+0 0 0 0 0 0 6 2 48000602
+0 0 0 0 0 0 7 2 48000702
+0 0 0 0 0 0 8 2 48000802
+0 0 0 0 0 0 9 2 48000902
+0 0 0 0 0 0 10 2 48001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -48000102
+1 0 0 0 0 0 1 2 48000102
+1 0 0 0 0 0 2 2 48000202
+1 0 0 0 0 0 3 2 48000302
+1 0 0 0 0 0 4 2 48000402
+1 0 0 0 0 0 5 2 48000502
+1 0 0 0 0 0 6 2 48000602
+1 0 0 0 0 0 7 2 48000702
+1 0 0 0 0 0 8 2 48000802
+1 0 0 0 0 0 9 2 48000902
+1 0 0 0 0 0 10 2 48001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fzy.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/fzy.zl
new file mode 100644
index 000000000..510571f0b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fzy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzy z (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 48000100
+0 0 0 0 0 0 1 1 48000101
+0 0 0 0 0 0 1 2 48000102
+0 0 0 0 0 0 1 3 48000103
+0 0 0 0 0 0 1 4 48000104
+0 0 0 0 0 0 1 5 48000105
+0 0 0 0 0 0 1 6 48000106
+0 0 0 0 0 0 1 7 48000107
+0 0 0 0 0 0 1 8 48000108
+0 0 0 0 0 0 1 9 48000109
+0 0 0 0 0 0 1 10 48000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -48000103
+1 0 0 0 0 0 1 1 -48000102
+1 0 0 0 0 0 1 2 48000102
+1 0 0 0 0 0 1 3 48000103
+1 0 0 0 0 0 1 4 48000104
+1 0 0 0 0 0 1 5 48000105
+1 0 0 0 0 0 1 6 48000106
+1 0 0 0 0 0 1 7 48000107
+1 0 0 0 0 0 1 8 48000108
+1 0 0 0 0 0 1 9 48000109
+1 0 0 0 0 0 1 10 48000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fzz.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/fzz.xl
new file mode 100644
index 000000000..1478d0743
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fzz.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzz x (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 49000102
+0 0 0 0 0 1 1 2 49010102
+0 0 0 0 0 2 1 2 49020102
+0 0 0 0 0 3 1 2 49030102
+0 0 0 0 0 4 1 2 49040102
+0 0 0 0 0 5 1 2 49050102
+0 0 0 0 0 6 1 2 49060102
+0 0 0 0 0 7 1 2 49070102
+0 0 0 0 0 8 1 2 49080102
+0 0 0 0 0 9 1 2 49090102
+0 0 0 0 0 10 1 2 49100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 49000102
+1 0 0 0 0 1 1 2 49010102
+1 0 0 0 0 2 1 2 49020102
+1 0 0 0 0 3 1 2 49030102
+1 0 0 0 0 4 1 2 49040102
+1 0 0 0 0 5 1 2 49050102
+1 0 0 0 0 6 1 2 49060102
+1 0 0 0 0 7 1 2 49070102
+1 0 0 0 0 8 1 2 49080102
+1 0 0 0 0 9 1 2 49090102
+1 0 0 0 0 10 1 2 49100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fzz.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/fzz.yl
new file mode 100644
index 000000000..ec12b3156
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fzz.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzz y (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 49000002
+0 0 0 0 0 0 1 2 49000102
+0 0 0 0 0 0 2 2 49000202
+0 0 0 0 0 0 3 2 49000302
+0 0 0 0 0 0 4 2 49000402
+0 0 0 0 0 0 5 2 49000502
+0 0 0 0 0 0 6 2 49000602
+0 0 0 0 0 0 7 2 49000702
+0 0 0 0 0 0 8 2 49000802
+0 0 0 0 0 0 9 2 49000902
+0 0 0 0 0 0 10 2 49001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 49000102
+1 0 0 0 0 0 1 2 49000102
+1 0 0 0 0 0 2 2 49000202
+1 0 0 0 0 0 3 2 49000302
+1 0 0 0 0 0 4 2 49000402
+1 0 0 0 0 0 5 2 49000502
+1 0 0 0 0 0 6 2 49000602
+1 0 0 0 0 0 7 2 49000702
+1 0 0 0 0 0 8 2 49000802
+1 0 0 0 0 0 9 2 49000902
+1 0 0 0 0 0 10 2 49001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/fzz.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/fzz.zl
new file mode 100644
index 000000000..a75a5ed00
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/fzz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::fzz z (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 49000100
+0 0 0 0 0 0 1 1 49000101
+0 0 0 0 0 0 1 2 49000102
+0 0 0 0 0 0 1 3 49000103
+0 0 0 0 0 0 1 4 49000104
+0 0 0 0 0 0 1 5 49000105
+0 0 0 0 0 0 1 6 49000106
+0 0 0 0 0 0 1 7 49000107
+0 0 0 0 0 0 1 8 49000108
+0 0 0 0 0 0 1 9 49000109
+0 0 0 0 0 0 1 10 49000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 49000103
+1 0 0 0 0 0 1 1 49000102
+1 0 0 0 0 0 1 2 49000102
+1 0 0 0 0 0 1 3 49000103
+1 0 0 0 0 0 1 4 49000104
+1 0 0 0 0 0 1 5 49000105
+1 0 0 0 0 0 1 6 49000106
+1 0 0 0 0 0 1 7 49000107
+1 0 0 0 0 0 1 8 49000108
+1 0 0 0 0 0 1 9 49000109
+1 0 0 0 0 0 1 10 49000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/s.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/s.xl
new file mode 100644
index 000000000..eb25512d0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/s.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::s x (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 1000102
+0 0 0 0 0 1 1 2 1010102
+0 0 0 0 0 2 1 2 1020102
+0 0 0 0 0 3 1 2 1030102
+0 0 0 0 0 4 1 2 1040102
+0 0 0 0 0 5 1 2 1050102
+0 0 0 0 0 6 1 2 1060102
+0 0 0 0 0 7 1 2 1070102
+0 0 0 0 0 8 1 2 1080102
+0 0 0 0 0 9 1 2 1090102
+0 0 0 0 0 10 1 2 1100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 1000102
+1 0 0 0 0 1 1 2 1010102
+1 0 0 0 0 2 1 2 1020102
+1 0 0 0 0 3 1 2 1030102
+1 0 0 0 0 4 1 2 1040102
+1 0 0 0 0 5 1 2 1050102
+1 0 0 0 0 6 1 2 1060102
+1 0 0 0 0 7 1 2 1070102
+1 0 0 0 0 8 1 2 1080102
+1 0 0 0 0 9 1 2 1090102
+1 0 0 0 0 10 1 2 1100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/s.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/s.yl
new file mode 100644
index 000000000..35ef5b977
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/s.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::s y (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 1000002
+0 0 0 0 0 0 1 2 1000102
+0 0 0 0 0 0 2 2 1000202
+0 0 0 0 0 0 3 2 1000302
+0 0 0 0 0 0 4 2 1000402
+0 0 0 0 0 0 5 2 1000502
+0 0 0 0 0 0 6 2 1000602
+0 0 0 0 0 0 7 2 1000702
+0 0 0 0 0 0 8 2 1000802
+0 0 0 0 0 0 9 2 1000902
+0 0 0 0 0 0 10 2 1001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 1000102
+1 0 0 0 0 0 1 2 1000102
+1 0 0 0 0 0 2 2 1000202
+1 0 0 0 0 0 3 2 1000302
+1 0 0 0 0 0 4 2 1000402
+1 0 0 0 0 0 5 2 1000502
+1 0 0 0 0 0 6 2 1000602
+1 0 0 0 0 0 7 2 1000702
+1 0 0 0 0 0 8 2 1000802
+1 0 0 0 0 0 9 2 1000902
+1 0 0 0 0 0 10 2 1001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/s.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/s.zl
new file mode 100644
index 000000000..1e4738678
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/s.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::s z (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 1000100
+0 0 0 0 0 0 1 1 1000101
+0 0 0 0 0 0 1 2 1000102
+0 0 0 0 0 0 1 3 1000103
+0 0 0 0 0 0 1 4 1000104
+0 0 0 0 0 0 1 5 1000105
+0 0 0 0 0 0 1 6 1000106
+0 0 0 0 0 0 1 7 1000107
+0 0 0 0 0 0 1 8 1000108
+0 0 0 0 0 0 1 9 1000109
+0 0 0 0 0 0 1 10 1000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 1000103
+1 0 0 0 0 0 1 1 1000102
+1 0 0 0 0 0 1 2 1000102
+1 0 0 0 0 0 1 3 1000103
+1 0 0 0 0 0 1 4 1000104
+1 0 0 0 0 0 1 5 1000105
+1 0 0 0 0 0 1 6 1000106
+1 0 0 0 0 0 1 7 1000107
+1 0 0 0 0 0 1 8 1000108
+1 0 0 0 0 0 1 9 1000109
+1 0 0 0 0 0 1 10 1000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/spher3d_r.xl
new file mode 100644
index 000000000..d486aefe1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/spher3d_r.xl
@@ -0,0 +1,36 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0.259807621135332
+0 0 0 0 0 1 1 2 0.49749371855331
+0 0 0 0 0 2 1 2 0.779422863405995
+0 0 0 0 0 3 1 2 1.07121426428143
+0 0 0 0 0 4 1 2 1.36656503687164
+0 0 0 0 0 5 1 2 1.66358047596141
+0 0 0 0 0 6 1 2 1.9615045245933
+0 0 0 0 0 7 1 2 2.2599778759979
+0 0 0 0 0 8 1 2 2.5588083163848
+0 0 0 0 0 9 1 2 2.85788383248865
+0 0 0 0 0 10 1 2 3.15713477697738
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 0.259807621135332
+1 0 0 0 0 1 1 2 0.49749371855331
+1 0 0 0 0 2 1 2 0.779422863405995
+1 0 0 0 0 3 1 2 1.07121426428143
+1 0 0 0 0 4 1 2 1.36656503687164
+1 0 0 0 0 5 1 2 1.66358047596141
+1 0 0 0 0 6 1 2 1.9615045245933
+1 0 0 0 0 7 1 2 2.2599778759979
+1 0 0 0 0 8 1 2 2.5588083163848
+1 0 0 0 0 9 1 2 2.85788383248865
+1 0 0 0 0 10 1 2 3.15713477697738
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/spher3d_r.yl
new file mode 100644
index 000000000..832698f58
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/spher3d_r.yl
@@ -0,0 +1,36 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 0.259807621135332
+0 0 0 0 0 0 1 2 0.259807621135332
+0 0 0 0 0 0 2 2 0.49749371855331
+0 0 0 0 0 0 3 2 0.779422863405995
+0 0 0 0 0 0 4 2 1.07121426428143
+0 0 0 0 0 0 5 2 1.36656503687164
+0 0 0 0 0 0 6 2 1.66358047596141
+0 0 0 0 0 0 7 2 1.9615045245933
+0 0 0 0 0 0 8 2 2.2599778759979
+0 0 0 0 0 0 9 2 2.5588083163848
+0 0 0 0 0 0 10 2 2.85788383248865
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 0.259807621135332
+1 0 0 0 0 0 1 2 0.259807621135332
+1 0 0 0 0 0 2 2 0.49749371855331
+1 0 0 0 0 0 3 2 0.779422863405995
+1 0 0 0 0 0 4 2 1.07121426428143
+1 0 0 0 0 0 5 2 1.36656503687164
+1 0 0 0 0 0 6 2 1.66358047596141
+1 0 0 0 0 0 7 2 1.9615045245933
+1 0 0 0 0 0 8 2 2.2599778759979
+1 0 0 0 0 0 9 2 2.5588083163848
+1 0 0 0 0 0 10 2 2.85788383248865
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/spher3d_r.zl
new file mode 100644
index 000000000..e543c8aa5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/spher3d_r.zl
@@ -0,0 +1,36 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 0.49749371855331
+0 0 0 0 0 0 1 1 0.259807621135332
+0 0 0 0 0 0 1 2 0.259807621135332
+0 0 0 0 0 0 1 3 0.49749371855331
+0 0 0 0 0 0 1 4 0.779422863405995
+0 0 0 0 0 0 1 5 1.07121426428143
+0 0 0 0 0 0 1 6 1.36656503687164
+0 0 0 0 0 0 1 7 1.66358047596141
+0 0 0 0 0 0 1 8 1.9615045245933
+0 0 0 0 0 0 1 9 2.2599778759979
+0 0 0 0 0 0 1 10 2.5588083163848
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 0.49749371855331
+1 0 0 0 0 0 1 1 0.259807621135332
+1 0 0 0 0 0 1 2 0.259807621135332
+1 0 0 0 0 0 1 3 0.49749371855331
+1 0 0 0 0 0 1 4 0.779422863405995
+1 0 0 0 0 0 1 5 1.07121426428143
+1 0 0 0 0 0 1 6 1.36656503687164
+1 0 0 0 0 0 1 7 1.66358047596141
+1 0 0 0 0 0 1 8 1.9615045245933
+1 0 0 0 0 0 1 9 2.2599778759979
+1 0 0 0 0 0 1 10 2.5588083163848
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/txx.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/txx.xl
new file mode 100644
index 000000000..2a7acd396
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/txx.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::txx x (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 21000102
+0 0 0 0 0 1 1 2 21010102
+0 0 0 0 0 2 1 2 21020102
+0 0 0 0 0 3 1 2 21030102
+0 0 0 0 0 4 1 2 21040102
+0 0 0 0 0 5 1 2 21050102
+0 0 0 0 0 6 1 2 21060102
+0 0 0 0 0 7 1 2 21070102
+0 0 0 0 0 8 1 2 21080102
+0 0 0 0 0 9 1 2 21090102
+0 0 0 0 0 10 1 2 21100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 21000102
+1 0 0 0 0 1 1 2 21010102
+1 0 0 0 0 2 1 2 21020102
+1 0 0 0 0 3 1 2 21030102
+1 0 0 0 0 4 1 2 21040102
+1 0 0 0 0 5 1 2 21050102
+1 0 0 0 0 6 1 2 21060102
+1 0 0 0 0 7 1 2 21070102
+1 0 0 0 0 8 1 2 21080102
+1 0 0 0 0 9 1 2 21090102
+1 0 0 0 0 10 1 2 21100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/txx.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/txx.yl
new file mode 100644
index 000000000..0f0cd48e5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/txx.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::txx y (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 21000002
+0 0 0 0 0 0 1 2 21000102
+0 0 0 0 0 0 2 2 21000202
+0 0 0 0 0 0 3 2 21000302
+0 0 0 0 0 0 4 2 21000402
+0 0 0 0 0 0 5 2 21000502
+0 0 0 0 0 0 6 2 21000602
+0 0 0 0 0 0 7 2 21000702
+0 0 0 0 0 0 8 2 21000802
+0 0 0 0 0 0 9 2 21000902
+0 0 0 0 0 0 10 2 21001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 21000102
+1 0 0 0 0 0 1 2 21000102
+1 0 0 0 0 0 2 2 21000202
+1 0 0 0 0 0 3 2 21000302
+1 0 0 0 0 0 4 2 21000402
+1 0 0 0 0 0 5 2 21000502
+1 0 0 0 0 0 6 2 21000602
+1 0 0 0 0 0 7 2 21000702
+1 0 0 0 0 0 8 2 21000802
+1 0 0 0 0 0 9 2 21000902
+1 0 0 0 0 0 10 2 21001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/txx.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/txx.zl
new file mode 100644
index 000000000..e2f8f371e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/txx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::txx z (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 21000100
+0 0 0 0 0 0 1 1 21000101
+0 0 0 0 0 0 1 2 21000102
+0 0 0 0 0 0 1 3 21000103
+0 0 0 0 0 0 1 4 21000104
+0 0 0 0 0 0 1 5 21000105
+0 0 0 0 0 0 1 6 21000106
+0 0 0 0 0 0 1 7 21000107
+0 0 0 0 0 0 1 8 21000108
+0 0 0 0 0 0 1 9 21000109
+0 0 0 0 0 0 1 10 21000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 21000103
+1 0 0 0 0 0 1 1 21000102
+1 0 0 0 0 0 1 2 21000102
+1 0 0 0 0 0 1 3 21000103
+1 0 0 0 0 0 1 4 21000104
+1 0 0 0 0 0 1 5 21000105
+1 0 0 0 0 0 1 6 21000106
+1 0 0 0 0 0 1 7 21000107
+1 0 0 0 0 0 1 8 21000108
+1 0 0 0 0 0 1 9 21000109
+1 0 0 0 0 0 1 10 21000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/txy.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/txy.xl
new file mode 100644
index 000000000..cb4bc190a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/txy.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::txy x (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 22000102
+0 0 0 0 0 1 1 2 22010102
+0 0 0 0 0 2 1 2 22020102
+0 0 0 0 0 3 1 2 22030102
+0 0 0 0 0 4 1 2 22040102
+0 0 0 0 0 5 1 2 22050102
+0 0 0 0 0 6 1 2 22060102
+0 0 0 0 0 7 1 2 22070102
+0 0 0 0 0 8 1 2 22080102
+0 0 0 0 0 9 1 2 22090102
+0 0 0 0 0 10 1 2 22100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 22000102
+1 0 0 0 0 1 1 2 22010102
+1 0 0 0 0 2 1 2 22020102
+1 0 0 0 0 3 1 2 22030102
+1 0 0 0 0 4 1 2 22040102
+1 0 0 0 0 5 1 2 22050102
+1 0 0 0 0 6 1 2 22060102
+1 0 0 0 0 7 1 2 22070102
+1 0 0 0 0 8 1 2 22080102
+1 0 0 0 0 9 1 2 22090102
+1 0 0 0 0 10 1 2 22100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/txy.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/txy.yl
new file mode 100644
index 000000000..b6a0f760d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/txy.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::txy y (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 22000002
+0 0 0 0 0 0 1 2 22000102
+0 0 0 0 0 0 2 2 22000202
+0 0 0 0 0 0 3 2 22000302
+0 0 0 0 0 0 4 2 22000402
+0 0 0 0 0 0 5 2 22000502
+0 0 0 0 0 0 6 2 22000602
+0 0 0 0 0 0 7 2 22000702
+0 0 0 0 0 0 8 2 22000802
+0 0 0 0 0 0 9 2 22000902
+0 0 0 0 0 0 10 2 22001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -22000102
+1 0 0 0 0 0 1 2 22000102
+1 0 0 0 0 0 2 2 22000202
+1 0 0 0 0 0 3 2 22000302
+1 0 0 0 0 0 4 2 22000402
+1 0 0 0 0 0 5 2 22000502
+1 0 0 0 0 0 6 2 22000602
+1 0 0 0 0 0 7 2 22000702
+1 0 0 0 0 0 8 2 22000802
+1 0 0 0 0 0 9 2 22000902
+1 0 0 0 0 0 10 2 22001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/txy.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/txy.zl
new file mode 100644
index 000000000..b7b903386
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/txy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::txy z (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 22000100
+0 0 0 0 0 0 1 1 22000101
+0 0 0 0 0 0 1 2 22000102
+0 0 0 0 0 0 1 3 22000103
+0 0 0 0 0 0 1 4 22000104
+0 0 0 0 0 0 1 5 22000105
+0 0 0 0 0 0 1 6 22000106
+0 0 0 0 0 0 1 7 22000107
+0 0 0 0 0 0 1 8 22000108
+0 0 0 0 0 0 1 9 22000109
+0 0 0 0 0 0 1 10 22000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 22000103
+1 0 0 0 0 0 1 1 22000102
+1 0 0 0 0 0 1 2 22000102
+1 0 0 0 0 0 1 3 22000103
+1 0 0 0 0 0 1 4 22000104
+1 0 0 0 0 0 1 5 22000105
+1 0 0 0 0 0 1 6 22000106
+1 0 0 0 0 0 1 7 22000107
+1 0 0 0 0 0 1 8 22000108
+1 0 0 0 0 0 1 9 22000109
+1 0 0 0 0 0 1 10 22000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/txz.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/txz.xl
new file mode 100644
index 000000000..ca3c81b03
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/txz.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::txz x (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 23000102
+0 0 0 0 0 1 1 2 23010102
+0 0 0 0 0 2 1 2 23020102
+0 0 0 0 0 3 1 2 23030102
+0 0 0 0 0 4 1 2 23040102
+0 0 0 0 0 5 1 2 23050102
+0 0 0 0 0 6 1 2 23060102
+0 0 0 0 0 7 1 2 23070102
+0 0 0 0 0 8 1 2 23080102
+0 0 0 0 0 9 1 2 23090102
+0 0 0 0 0 10 1 2 23100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 23000102
+1 0 0 0 0 1 1 2 23010102
+1 0 0 0 0 2 1 2 23020102
+1 0 0 0 0 3 1 2 23030102
+1 0 0 0 0 4 1 2 23040102
+1 0 0 0 0 5 1 2 23050102
+1 0 0 0 0 6 1 2 23060102
+1 0 0 0 0 7 1 2 23070102
+1 0 0 0 0 8 1 2 23080102
+1 0 0 0 0 9 1 2 23090102
+1 0 0 0 0 10 1 2 23100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/txz.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/txz.yl
new file mode 100644
index 000000000..662de5ef3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/txz.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::txz y (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 23000002
+0 0 0 0 0 0 1 2 23000102
+0 0 0 0 0 0 2 2 23000202
+0 0 0 0 0 0 3 2 23000302
+0 0 0 0 0 0 4 2 23000402
+0 0 0 0 0 0 5 2 23000502
+0 0 0 0 0 0 6 2 23000602
+0 0 0 0 0 0 7 2 23000702
+0 0 0 0 0 0 8 2 23000802
+0 0 0 0 0 0 9 2 23000902
+0 0 0 0 0 0 10 2 23001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 23000102
+1 0 0 0 0 0 1 2 23000102
+1 0 0 0 0 0 2 2 23000202
+1 0 0 0 0 0 3 2 23000302
+1 0 0 0 0 0 4 2 23000402
+1 0 0 0 0 0 5 2 23000502
+1 0 0 0 0 0 6 2 23000602
+1 0 0 0 0 0 7 2 23000702
+1 0 0 0 0 0 8 2 23000802
+1 0 0 0 0 0 9 2 23000902
+1 0 0 0 0 0 10 2 23001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/txz.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/txz.zl
new file mode 100644
index 000000000..21e061f19
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/txz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::txz z (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 23000100
+0 0 0 0 0 0 1 1 23000101
+0 0 0 0 0 0 1 2 23000102
+0 0 0 0 0 0 1 3 23000103
+0 0 0 0 0 0 1 4 23000104
+0 0 0 0 0 0 1 5 23000105
+0 0 0 0 0 0 1 6 23000106
+0 0 0 0 0 0 1 7 23000107
+0 0 0 0 0 0 1 8 23000108
+0 0 0 0 0 0 1 9 23000109
+0 0 0 0 0 0 1 10 23000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -23000103
+1 0 0 0 0 0 1 1 -23000102
+1 0 0 0 0 0 1 2 23000102
+1 0 0 0 0 0 1 3 23000103
+1 0 0 0 0 0 1 4 23000104
+1 0 0 0 0 0 1 5 23000105
+1 0 0 0 0 0 1 6 23000106
+1 0 0 0 0 0 1 7 23000107
+1 0 0 0 0 0 1 8 23000108
+1 0 0 0 0 0 1 9 23000109
+1 0 0 0 0 0 1 10 23000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/tyy.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/tyy.xl
new file mode 100644
index 000000000..a45ba6419
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/tyy.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::tyy x (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 24000102
+0 0 0 0 0 1 1 2 24010102
+0 0 0 0 0 2 1 2 24020102
+0 0 0 0 0 3 1 2 24030102
+0 0 0 0 0 4 1 2 24040102
+0 0 0 0 0 5 1 2 24050102
+0 0 0 0 0 6 1 2 24060102
+0 0 0 0 0 7 1 2 24070102
+0 0 0 0 0 8 1 2 24080102
+0 0 0 0 0 9 1 2 24090102
+0 0 0 0 0 10 1 2 24100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 24000102
+1 0 0 0 0 1 1 2 24010102
+1 0 0 0 0 2 1 2 24020102
+1 0 0 0 0 3 1 2 24030102
+1 0 0 0 0 4 1 2 24040102
+1 0 0 0 0 5 1 2 24050102
+1 0 0 0 0 6 1 2 24060102
+1 0 0 0 0 7 1 2 24070102
+1 0 0 0 0 8 1 2 24080102
+1 0 0 0 0 9 1 2 24090102
+1 0 0 0 0 10 1 2 24100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/tyy.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/tyy.yl
new file mode 100644
index 000000000..ab348361b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/tyy.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::tyy y (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 24000002
+0 0 0 0 0 0 1 2 24000102
+0 0 0 0 0 0 2 2 24000202
+0 0 0 0 0 0 3 2 24000302
+0 0 0 0 0 0 4 2 24000402
+0 0 0 0 0 0 5 2 24000502
+0 0 0 0 0 0 6 2 24000602
+0 0 0 0 0 0 7 2 24000702
+0 0 0 0 0 0 8 2 24000802
+0 0 0 0 0 0 9 2 24000902
+0 0 0 0 0 0 10 2 24001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 24000102
+1 0 0 0 0 0 1 2 24000102
+1 0 0 0 0 0 2 2 24000202
+1 0 0 0 0 0 3 2 24000302
+1 0 0 0 0 0 4 2 24000402
+1 0 0 0 0 0 5 2 24000502
+1 0 0 0 0 0 6 2 24000602
+1 0 0 0 0 0 7 2 24000702
+1 0 0 0 0 0 8 2 24000802
+1 0 0 0 0 0 9 2 24000902
+1 0 0 0 0 0 10 2 24001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/tyy.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/tyy.zl
new file mode 100644
index 000000000..40fa4c58e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/tyy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::tyy z (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 24000100
+0 0 0 0 0 0 1 1 24000101
+0 0 0 0 0 0 1 2 24000102
+0 0 0 0 0 0 1 3 24000103
+0 0 0 0 0 0 1 4 24000104
+0 0 0 0 0 0 1 5 24000105
+0 0 0 0 0 0 1 6 24000106
+0 0 0 0 0 0 1 7 24000107
+0 0 0 0 0 0 1 8 24000108
+0 0 0 0 0 0 1 9 24000109
+0 0 0 0 0 0 1 10 24000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 24000103
+1 0 0 0 0 0 1 1 24000102
+1 0 0 0 0 0 1 2 24000102
+1 0 0 0 0 0 1 3 24000103
+1 0 0 0 0 0 1 4 24000104
+1 0 0 0 0 0 1 5 24000105
+1 0 0 0 0 0 1 6 24000106
+1 0 0 0 0 0 1 7 24000107
+1 0 0 0 0 0 1 8 24000108
+1 0 0 0 0 0 1 9 24000109
+1 0 0 0 0 0 1 10 24000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/tyz.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/tyz.xl
new file mode 100644
index 000000000..5a7236533
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/tyz.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::tyz x (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 25000102
+0 0 0 0 0 1 1 2 25010102
+0 0 0 0 0 2 1 2 25020102
+0 0 0 0 0 3 1 2 25030102
+0 0 0 0 0 4 1 2 25040102
+0 0 0 0 0 5 1 2 25050102
+0 0 0 0 0 6 1 2 25060102
+0 0 0 0 0 7 1 2 25070102
+0 0 0 0 0 8 1 2 25080102
+0 0 0 0 0 9 1 2 25090102
+0 0 0 0 0 10 1 2 25100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 25000102
+1 0 0 0 0 1 1 2 25010102
+1 0 0 0 0 2 1 2 25020102
+1 0 0 0 0 3 1 2 25030102
+1 0 0 0 0 4 1 2 25040102
+1 0 0 0 0 5 1 2 25050102
+1 0 0 0 0 6 1 2 25060102
+1 0 0 0 0 7 1 2 25070102
+1 0 0 0 0 8 1 2 25080102
+1 0 0 0 0 9 1 2 25090102
+1 0 0 0 0 10 1 2 25100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/tyz.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/tyz.yl
new file mode 100644
index 000000000..719c0c59e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/tyz.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::tyz y (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 25000002
+0 0 0 0 0 0 1 2 25000102
+0 0 0 0 0 0 2 2 25000202
+0 0 0 0 0 0 3 2 25000302
+0 0 0 0 0 0 4 2 25000402
+0 0 0 0 0 0 5 2 25000502
+0 0 0 0 0 0 6 2 25000602
+0 0 0 0 0 0 7 2 25000702
+0 0 0 0 0 0 8 2 25000802
+0 0 0 0 0 0 9 2 25000902
+0 0 0 0 0 0 10 2 25001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -25000102
+1 0 0 0 0 0 1 2 25000102
+1 0 0 0 0 0 2 2 25000202
+1 0 0 0 0 0 3 2 25000302
+1 0 0 0 0 0 4 2 25000402
+1 0 0 0 0 0 5 2 25000502
+1 0 0 0 0 0 6 2 25000602
+1 0 0 0 0 0 7 2 25000702
+1 0 0 0 0 0 8 2 25000802
+1 0 0 0 0 0 9 2 25000902
+1 0 0 0 0 0 10 2 25001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/tyz.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/tyz.zl
new file mode 100644
index 000000000..bc29292b5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/tyz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::tyz z (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 25000100
+0 0 0 0 0 0 1 1 25000101
+0 0 0 0 0 0 1 2 25000102
+0 0 0 0 0 0 1 3 25000103
+0 0 0 0 0 0 1 4 25000104
+0 0 0 0 0 0 1 5 25000105
+0 0 0 0 0 0 1 6 25000106
+0 0 0 0 0 0 1 7 25000107
+0 0 0 0 0 0 1 8 25000108
+0 0 0 0 0 0 1 9 25000109
+0 0 0 0 0 0 1 10 25000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -25000103
+1 0 0 0 0 0 1 1 -25000102
+1 0 0 0 0 0 1 2 25000102
+1 0 0 0 0 0 1 3 25000103
+1 0 0 0 0 0 1 4 25000104
+1 0 0 0 0 0 1 5 25000105
+1 0 0 0 0 0 1 6 25000106
+1 0 0 0 0 0 1 7 25000107
+1 0 0 0 0 0 1 8 25000108
+1 0 0 0 0 0 1 9 25000109
+1 0 0 0 0 0 1 10 25000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/tzz.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/tzz.xl
new file mode 100644
index 000000000..db8d50b94
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/tzz.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::tzz x (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 26000102
+0 0 0 0 0 1 1 2 26010102
+0 0 0 0 0 2 1 2 26020102
+0 0 0 0 0 3 1 2 26030102
+0 0 0 0 0 4 1 2 26040102
+0 0 0 0 0 5 1 2 26050102
+0 0 0 0 0 6 1 2 26060102
+0 0 0 0 0 7 1 2 26070102
+0 0 0 0 0 8 1 2 26080102
+0 0 0 0 0 9 1 2 26090102
+0 0 0 0 0 10 1 2 26100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 26000102
+1 0 0 0 0 1 1 2 26010102
+1 0 0 0 0 2 1 2 26020102
+1 0 0 0 0 3 1 2 26030102
+1 0 0 0 0 4 1 2 26040102
+1 0 0 0 0 5 1 2 26050102
+1 0 0 0 0 6 1 2 26060102
+1 0 0 0 0 7 1 2 26070102
+1 0 0 0 0 8 1 2 26080102
+1 0 0 0 0 9 1 2 26090102
+1 0 0 0 0 10 1 2 26100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/tzz.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/tzz.yl
new file mode 100644
index 000000000..181040b89
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/tzz.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::tzz y (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 26000002
+0 0 0 0 0 0 1 2 26000102
+0 0 0 0 0 0 2 2 26000202
+0 0 0 0 0 0 3 2 26000302
+0 0 0 0 0 0 4 2 26000402
+0 0 0 0 0 0 5 2 26000502
+0 0 0 0 0 0 6 2 26000602
+0 0 0 0 0 0 7 2 26000702
+0 0 0 0 0 0 8 2 26000802
+0 0 0 0 0 0 9 2 26000902
+0 0 0 0 0 0 10 2 26001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 26000102
+1 0 0 0 0 0 1 2 26000102
+1 0 0 0 0 0 2 2 26000202
+1 0 0 0 0 0 3 2 26000302
+1 0 0 0 0 0 4 2 26000402
+1 0 0 0 0 0 5 2 26000502
+1 0 0 0 0 0 6 2 26000602
+1 0 0 0 0 0 7 2 26000702
+1 0 0 0 0 0 8 2 26000802
+1 0 0 0 0 0 9 2 26000902
+1 0 0 0 0 0 10 2 26001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/tzz.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/tzz.zl
new file mode 100644
index 000000000..5e8c71c58
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/tzz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::tzz z (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 26000100
+0 0 0 0 0 0 1 1 26000101
+0 0 0 0 0 0 1 2 26000102
+0 0 0 0 0 0 1 3 26000103
+0 0 0 0 0 0 1 4 26000104
+0 0 0 0 0 0 1 5 26000105
+0 0 0 0 0 0 1 6 26000106
+0 0 0 0 0 0 1 7 26000107
+0 0 0 0 0 0 1 8 26000108
+0 0 0 0 0 0 1 9 26000109
+0 0 0 0 0 0 1 10 26000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 26000103
+1 0 0 0 0 0 1 1 26000102
+1 0 0 0 0 0 1 2 26000102
+1 0 0 0 0 0 1 3 26000103
+1 0 0 0 0 0 1 4 26000104
+1 0 0 0 0 0 1 5 26000105
+1 0 0 0 0 0 1 6 26000106
+1 0 0 0 0 0 1 7 26000107
+1 0 0 0 0 0 1 8 26000108
+1 0 0 0 0 0 1 9 26000109
+1 0 0 0 0 0 1 10 26000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/vx.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/vx.xl
new file mode 100644
index 000000000..6195bad6d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/vx.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 11000102
+0 0 0 0 0 1 1 2 11010102
+0 0 0 0 0 2 1 2 11020102
+0 0 0 0 0 3 1 2 11030102
+0 0 0 0 0 4 1 2 11040102
+0 0 0 0 0 5 1 2 11050102
+0 0 0 0 0 6 1 2 11060102
+0 0 0 0 0 7 1 2 11070102
+0 0 0 0 0 8 1 2 11080102
+0 0 0 0 0 9 1 2 11090102
+0 0 0 0 0 10 1 2 11100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 11000102
+1 0 0 0 0 1 1 2 11010102
+1 0 0 0 0 2 1 2 11020102
+1 0 0 0 0 3 1 2 11030102
+1 0 0 0 0 4 1 2 11040102
+1 0 0 0 0 5 1 2 11050102
+1 0 0 0 0 6 1 2 11060102
+1 0 0 0 0 7 1 2 11070102
+1 0 0 0 0 8 1 2 11080102
+1 0 0 0 0 9 1 2 11090102
+1 0 0 0 0 10 1 2 11100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/vx.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/vx.yl
new file mode 100644
index 000000000..c2a05f617
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/vx.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 11000002
+0 0 0 0 0 0 1 2 11000102
+0 0 0 0 0 0 2 2 11000202
+0 0 0 0 0 0 3 2 11000302
+0 0 0 0 0 0 4 2 11000402
+0 0 0 0 0 0 5 2 11000502
+0 0 0 0 0 0 6 2 11000602
+0 0 0 0 0 0 7 2 11000702
+0 0 0 0 0 0 8 2 11000802
+0 0 0 0 0 0 9 2 11000902
+0 0 0 0 0 0 10 2 11001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 11000102
+1 0 0 0 0 0 1 2 11000102
+1 0 0 0 0 0 2 2 11000202
+1 0 0 0 0 0 3 2 11000302
+1 0 0 0 0 0 4 2 11000402
+1 0 0 0 0 0 5 2 11000502
+1 0 0 0 0 0 6 2 11000602
+1 0 0 0 0 0 7 2 11000702
+1 0 0 0 0 0 8 2 11000802
+1 0 0 0 0 0 9 2 11000902
+1 0 0 0 0 0 10 2 11001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/vx.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/vx.zl
new file mode 100644
index 000000000..4889b5d56
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/vx.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 11000100
+0 0 0 0 0 0 1 1 11000101
+0 0 0 0 0 0 1 2 11000102
+0 0 0 0 0 0 1 3 11000103
+0 0 0 0 0 0 1 4 11000104
+0 0 0 0 0 0 1 5 11000105
+0 0 0 0 0 0 1 6 11000106
+0 0 0 0 0 0 1 7 11000107
+0 0 0 0 0 0 1 8 11000108
+0 0 0 0 0 0 1 9 11000109
+0 0 0 0 0 0 1 10 11000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 11000103
+1 0 0 0 0 0 1 1 11000102
+1 0 0 0 0 0 1 2 11000102
+1 0 0 0 0 0 1 3 11000103
+1 0 0 0 0 0 1 4 11000104
+1 0 0 0 0 0 1 5 11000105
+1 0 0 0 0 0 1 6 11000106
+1 0 0 0 0 0 1 7 11000107
+1 0 0 0 0 0 1 8 11000108
+1 0 0 0 0 0 1 9 11000109
+1 0 0 0 0 0 1 10 11000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/vy.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/vy.xl
new file mode 100644
index 000000000..e412e6447
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/vy.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 12000102
+0 0 0 0 0 1 1 2 12010102
+0 0 0 0 0 2 1 2 12020102
+0 0 0 0 0 3 1 2 12030102
+0 0 0 0 0 4 1 2 12040102
+0 0 0 0 0 5 1 2 12050102
+0 0 0 0 0 6 1 2 12060102
+0 0 0 0 0 7 1 2 12070102
+0 0 0 0 0 8 1 2 12080102
+0 0 0 0 0 9 1 2 12090102
+0 0 0 0 0 10 1 2 12100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 12000102
+1 0 0 0 0 1 1 2 12010102
+1 0 0 0 0 2 1 2 12020102
+1 0 0 0 0 3 1 2 12030102
+1 0 0 0 0 4 1 2 12040102
+1 0 0 0 0 5 1 2 12050102
+1 0 0 0 0 6 1 2 12060102
+1 0 0 0 0 7 1 2 12070102
+1 0 0 0 0 8 1 2 12080102
+1 0 0 0 0 9 1 2 12090102
+1 0 0 0 0 10 1 2 12100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/vy.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/vy.yl
new file mode 100644
index 000000000..5acebf9e4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/vy.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 12000002
+0 0 0 0 0 0 1 2 12000102
+0 0 0 0 0 0 2 2 12000202
+0 0 0 0 0 0 3 2 12000302
+0 0 0 0 0 0 4 2 12000402
+0 0 0 0 0 0 5 2 12000502
+0 0 0 0 0 0 6 2 12000602
+0 0 0 0 0 0 7 2 12000702
+0 0 0 0 0 0 8 2 12000802
+0 0 0 0 0 0 9 2 12000902
+0 0 0 0 0 0 10 2 12001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -12000102
+1 0 0 0 0 0 1 2 12000102
+1 0 0 0 0 0 2 2 12000202
+1 0 0 0 0 0 3 2 12000302
+1 0 0 0 0 0 4 2 12000402
+1 0 0 0 0 0 5 2 12000502
+1 0 0 0 0 0 6 2 12000602
+1 0 0 0 0 0 7 2 12000702
+1 0 0 0 0 0 8 2 12000802
+1 0 0 0 0 0 9 2 12000902
+1 0 0 0 0 0 10 2 12001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/vy.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/vy.zl
new file mode 100644
index 000000000..99abfba4c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/vy.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 12000100
+0 0 0 0 0 0 1 1 12000101
+0 0 0 0 0 0 1 2 12000102
+0 0 0 0 0 0 1 3 12000103
+0 0 0 0 0 0 1 4 12000104
+0 0 0 0 0 0 1 5 12000105
+0 0 0 0 0 0 1 6 12000106
+0 0 0 0 0 0 1 7 12000107
+0 0 0 0 0 0 1 8 12000108
+0 0 0 0 0 0 1 9 12000109
+0 0 0 0 0 0 1 10 12000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 12000103
+1 0 0 0 0 0 1 1 12000102
+1 0 0 0 0 0 1 2 12000102
+1 0 0 0 0 0 1 3 12000103
+1 0 0 0 0 0 1 4 12000104
+1 0 0 0 0 0 1 5 12000105
+1 0 0 0 0 0 1 6 12000106
+1 0 0 0 0 0 1 7 12000107
+1 0 0 0 0 0 1 8 12000108
+1 0 0 0 0 0 1 9 12000109
+1 0 0 0 0 0 1 10 12000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/vz.xl b/CarpetAttic/Cart3dTest/test/octant-eleven/vz.xl
new file mode 100644
index 000000000..ef2e13dce
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/vz.xl
@@ -0,0 +1,36 @@
+# CART3DTEST::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 13000102
+0 0 0 0 0 1 1 2 13010102
+0 0 0 0 0 2 1 2 13020102
+0 0 0 0 0 3 1 2 13030102
+0 0 0 0 0 4 1 2 13040102
+0 0 0 0 0 5 1 2 13050102
+0 0 0 0 0 6 1 2 13060102
+0 0 0 0 0 7 1 2 13070102
+0 0 0 0 0 8 1 2 13080102
+0 0 0 0 0 9 1 2 13090102
+0 0 0 0 0 10 1 2 13100102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 13000102
+1 0 0 0 0 1 1 2 13010102
+1 0 0 0 0 2 1 2 13020102
+1 0 0 0 0 3 1 2 13030102
+1 0 0 0 0 4 1 2 13040102
+1 0 0 0 0 5 1 2 13050102
+1 0 0 0 0 6 1 2 13060102
+1 0 0 0 0 7 1 2 13070102
+1 0 0 0 0 8 1 2 13080102
+1 0 0 0 0 9 1 2 13090102
+1 0 0 0 0 10 1 2 13100102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/vz.yl b/CarpetAttic/Cart3dTest/test/octant-eleven/vz.yl
new file mode 100644
index 000000000..f8e601fea
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/vz.yl
@@ -0,0 +1,36 @@
+# CART3DTEST::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 13000002
+0 0 0 0 0 0 1 2 13000102
+0 0 0 0 0 0 2 2 13000202
+0 0 0 0 0 0 3 2 13000302
+0 0 0 0 0 0 4 2 13000402
+0 0 0 0 0 0 5 2 13000502
+0 0 0 0 0 0 6 2 13000602
+0 0 0 0 0 0 7 2 13000702
+0 0 0 0 0 0 8 2 13000802
+0 0 0 0 0 0 9 2 13000902
+0 0 0 0 0 0 10 2 13001002
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 13000102
+1 0 0 0 0 0 1 2 13000102
+1 0 0 0 0 0 2 2 13000202
+1 0 0 0 0 0 3 2 13000302
+1 0 0 0 0 0 4 2 13000402
+1 0 0 0 0 0 5 2 13000502
+1 0 0 0 0 0 6 2 13000602
+1 0 0 0 0 0 7 2 13000702
+1 0 0 0 0 0 8 2 13000802
+1 0 0 0 0 0 9 2 13000902
+1 0 0 0 0 0 10 2 13001002
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant-eleven/vz.zl b/CarpetAttic/Cart3dTest/test/octant-eleven/vz.zl
new file mode 100644
index 000000000..be8ff9562
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant-eleven/vz.zl
@@ -0,0 +1,36 @@
+# CART3DTEST::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 13000100
+0 0 0 0 0 0 1 1 13000101
+0 0 0 0 0 0 1 2 13000102
+0 0 0 0 0 0 1 3 13000103
+0 0 0 0 0 0 1 4 13000104
+0 0 0 0 0 0 1 5 13000105
+0 0 0 0 0 0 1 6 13000106
+0 0 0 0 0 0 1 7 13000107
+0 0 0 0 0 0 1 8 13000108
+0 0 0 0 0 0 1 9 13000109
+0 0 0 0 0 0 1 10 13000110
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -13000103
+1 0 0 0 0 0 1 1 -13000102
+1 0 0 0 0 0 1 2 13000102
+1 0 0 0 0 0 1 3 13000103
+1 0 0 0 0 0 1 4 13000104
+1 0 0 0 0 0 1 5 13000105
+1 0 0 0 0 0 1 6 13000106
+1 0 0 0 0 0 1 7 13000107
+1 0 0 0 0 0 1 8 13000108
+1 0 0 0 0 0 1 9 13000109
+1 0 0 0 0 0 1 10 13000110
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant.log b/CarpetAttic/Cart3dTest/test/octant.log
new file mode 100644
index 000000000..8b02f3bdb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant.log
@@ -0,0 +1,81 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/octant.par b/CarpetAttic/Cart3dTest/test/octant.par
new file mode 100644
index 000000000..75ffb91ea
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant.par
@@ -0,0 +1,17 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/octant.par,v 1.4 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 1
+
+grid::type = "byspacing"
+grid::mode = "octant"
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "octant"
+IOASCII::out1D_vars = "grid::coordinates Cart3dTest::quantities"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/octant/ax.xl b/CarpetAttic/Cart3dTest/test/octant/ax.xl
new file mode 100644
index 000000000..8dd8e5c6f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/ax.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax x (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 31000102
+0 0 0 0 0 1 1 2 31010102
+0 0 0 0 0 2 1 2 31020102
+0 0 0 0 0 3 1 2 31030102
+0 0 0 0 0 4 1 2 31040102
+0 0 0 0 0 5 1 2 31050102
+0 0 0 0 0 6 1 2 31060102
+0 0 0 0 0 7 1 2 31070102
+0 0 0 0 0 8 1 2 31080102
+0 0 0 0 0 9 1 2 31090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 31000102
+1 0 0 0 0 1 1 2 31010102
+1 0 0 0 0 2 1 2 31020102
+1 0 0 0 0 3 1 2 31030102
+1 0 0 0 0 4 1 2 31040102
+1 0 0 0 0 5 1 2 31050102
+1 0 0 0 0 6 1 2 31060102
+1 0 0 0 0 7 1 2 31070102
+1 0 0 0 0 8 1 2 31080102
+1 0 0 0 0 9 1 2 31090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/ax.yl b/CarpetAttic/Cart3dTest/test/octant/ax.yl
new file mode 100644
index 000000000..aa4a6ba5d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/ax.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax y (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 31000002
+0 0 0 0 0 0 1 2 31000102
+0 0 0 0 0 0 2 2 31000202
+0 0 0 0 0 0 3 2 31000302
+0 0 0 0 0 0 4 2 31000402
+0 0 0 0 0 0 5 2 31000502
+0 0 0 0 0 0 6 2 31000602
+0 0 0 0 0 0 7 2 31000702
+0 0 0 0 0 0 8 2 31000802
+0 0 0 0 0 0 9 2 31000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -31000102
+1 0 0 0 0 0 1 2 31000102
+1 0 0 0 0 0 2 2 31000202
+1 0 0 0 0 0 3 2 31000302
+1 0 0 0 0 0 4 2 31000402
+1 0 0 0 0 0 5 2 31000502
+1 0 0 0 0 0 6 2 31000602
+1 0 0 0 0 0 7 2 31000702
+1 0 0 0 0 0 8 2 31000802
+1 0 0 0 0 0 9 2 31000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/ax.zl b/CarpetAttic/Cart3dTest/test/octant/ax.zl
new file mode 100644
index 000000000..af2c77d03
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/ax.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax z (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 31000100
+0 0 0 0 0 0 1 1 31000101
+0 0 0 0 0 0 1 2 31000102
+0 0 0 0 0 0 1 3 31000103
+0 0 0 0 0 0 1 4 31000104
+0 0 0 0 0 0 1 5 31000105
+0 0 0 0 0 0 1 6 31000106
+0 0 0 0 0 0 1 7 31000107
+0 0 0 0 0 0 1 8 31000108
+0 0 0 0 0 0 1 9 31000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -31000103
+1 0 0 0 0 0 1 1 -31000102
+1 0 0 0 0 0 1 2 31000102
+1 0 0 0 0 0 1 3 31000103
+1 0 0 0 0 0 1 4 31000104
+1 0 0 0 0 0 1 5 31000105
+1 0 0 0 0 0 1 6 31000106
+1 0 0 0 0 0 1 7 31000107
+1 0 0 0 0 0 1 8 31000108
+1 0 0 0 0 0 1 9 31000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/ay.xl b/CarpetAttic/Cart3dTest/test/octant/ay.xl
new file mode 100644
index 000000000..0a23fdefd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/ay.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay x (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 32000102
+0 0 0 0 0 1 1 2 32010102
+0 0 0 0 0 2 1 2 32020102
+0 0 0 0 0 3 1 2 32030102
+0 0 0 0 0 4 1 2 32040102
+0 0 0 0 0 5 1 2 32050102
+0 0 0 0 0 6 1 2 32060102
+0 0 0 0 0 7 1 2 32070102
+0 0 0 0 0 8 1 2 32080102
+0 0 0 0 0 9 1 2 32090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 32000102
+1 0 0 0 0 1 1 2 32010102
+1 0 0 0 0 2 1 2 32020102
+1 0 0 0 0 3 1 2 32030102
+1 0 0 0 0 4 1 2 32040102
+1 0 0 0 0 5 1 2 32050102
+1 0 0 0 0 6 1 2 32060102
+1 0 0 0 0 7 1 2 32070102
+1 0 0 0 0 8 1 2 32080102
+1 0 0 0 0 9 1 2 32090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/ay.yl b/CarpetAttic/Cart3dTest/test/octant/ay.yl
new file mode 100644
index 000000000..c06545e68
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/ay.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay y (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 32000002
+0 0 0 0 0 0 1 2 32000102
+0 0 0 0 0 0 2 2 32000202
+0 0 0 0 0 0 3 2 32000302
+0 0 0 0 0 0 4 2 32000402
+0 0 0 0 0 0 5 2 32000502
+0 0 0 0 0 0 6 2 32000602
+0 0 0 0 0 0 7 2 32000702
+0 0 0 0 0 0 8 2 32000802
+0 0 0 0 0 0 9 2 32000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 32000102
+1 0 0 0 0 0 1 2 32000102
+1 0 0 0 0 0 2 2 32000202
+1 0 0 0 0 0 3 2 32000302
+1 0 0 0 0 0 4 2 32000402
+1 0 0 0 0 0 5 2 32000502
+1 0 0 0 0 0 6 2 32000602
+1 0 0 0 0 0 7 2 32000702
+1 0 0 0 0 0 8 2 32000802
+1 0 0 0 0 0 9 2 32000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/ay.zl b/CarpetAttic/Cart3dTest/test/octant/ay.zl
new file mode 100644
index 000000000..8ec533c91
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/ay.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay z (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 32000100
+0 0 0 0 0 0 1 1 32000101
+0 0 0 0 0 0 1 2 32000102
+0 0 0 0 0 0 1 3 32000103
+0 0 0 0 0 0 1 4 32000104
+0 0 0 0 0 0 1 5 32000105
+0 0 0 0 0 0 1 6 32000106
+0 0 0 0 0 0 1 7 32000107
+0 0 0 0 0 0 1 8 32000108
+0 0 0 0 0 0 1 9 32000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -32000103
+1 0 0 0 0 0 1 1 -32000102
+1 0 0 0 0 0 1 2 32000102
+1 0 0 0 0 0 1 3 32000103
+1 0 0 0 0 0 1 4 32000104
+1 0 0 0 0 0 1 5 32000105
+1 0 0 0 0 0 1 6 32000106
+1 0 0 0 0 0 1 7 32000107
+1 0 0 0 0 0 1 8 32000108
+1 0 0 0 0 0 1 9 32000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/az.xl b/CarpetAttic/Cart3dTest/test/octant/az.xl
new file mode 100644
index 000000000..f3620a409
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/az.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::az x (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 33000102
+0 0 0 0 0 1 1 2 33010102
+0 0 0 0 0 2 1 2 33020102
+0 0 0 0 0 3 1 2 33030102
+0 0 0 0 0 4 1 2 33040102
+0 0 0 0 0 5 1 2 33050102
+0 0 0 0 0 6 1 2 33060102
+0 0 0 0 0 7 1 2 33070102
+0 0 0 0 0 8 1 2 33080102
+0 0 0 0 0 9 1 2 33090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 33000102
+1 0 0 0 0 1 1 2 33010102
+1 0 0 0 0 2 1 2 33020102
+1 0 0 0 0 3 1 2 33030102
+1 0 0 0 0 4 1 2 33040102
+1 0 0 0 0 5 1 2 33050102
+1 0 0 0 0 6 1 2 33060102
+1 0 0 0 0 7 1 2 33070102
+1 0 0 0 0 8 1 2 33080102
+1 0 0 0 0 9 1 2 33090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/az.yl b/CarpetAttic/Cart3dTest/test/octant/az.yl
new file mode 100644
index 000000000..3aedf25fb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/az.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::az y (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 33000002
+0 0 0 0 0 0 1 2 33000102
+0 0 0 0 0 0 2 2 33000202
+0 0 0 0 0 0 3 2 33000302
+0 0 0 0 0 0 4 2 33000402
+0 0 0 0 0 0 5 2 33000502
+0 0 0 0 0 0 6 2 33000602
+0 0 0 0 0 0 7 2 33000702
+0 0 0 0 0 0 8 2 33000802
+0 0 0 0 0 0 9 2 33000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -33000102
+1 0 0 0 0 0 1 2 33000102
+1 0 0 0 0 0 2 2 33000202
+1 0 0 0 0 0 3 2 33000302
+1 0 0 0 0 0 4 2 33000402
+1 0 0 0 0 0 5 2 33000502
+1 0 0 0 0 0 6 2 33000602
+1 0 0 0 0 0 7 2 33000702
+1 0 0 0 0 0 8 2 33000802
+1 0 0 0 0 0 9 2 33000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/az.zl b/CarpetAttic/Cart3dTest/test/octant/az.zl
new file mode 100644
index 000000000..97912d068
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/az.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::az z (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 33000100
+0 0 0 0 0 0 1 1 33000101
+0 0 0 0 0 0 1 2 33000102
+0 0 0 0 0 0 1 3 33000103
+0 0 0 0 0 0 1 4 33000104
+0 0 0 0 0 0 1 5 33000105
+0 0 0 0 0 0 1 6 33000106
+0 0 0 0 0 0 1 7 33000107
+0 0 0 0 0 0 1 8 33000108
+0 0 0 0 0 0 1 9 33000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 33000103
+1 0 0 0 0 0 1 1 33000102
+1 0 0 0 0 0 1 2 33000102
+1 0 0 0 0 0 1 3 33000103
+1 0 0 0 0 0 1 4 33000104
+1 0 0 0 0 0 1 5 33000105
+1 0 0 0 0 0 1 6 33000106
+1 0 0 0 0 0 1 7 33000107
+1 0 0 0 0 0 1 8 33000108
+1 0 0 0 0 0 1 9 33000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/octant/cart3d_x.xl
new file mode 100644
index 000000000..22bbe6acf
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/cart3d_x.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 1 1 2 0.45
+0 0 0 0 0 2 1 2 0.75
+0 0 0 0 0 3 1 2 1.05
+0 0 0 0 0 4 1 2 1.35
+0 0 0 0 0 5 1 2 1.65
+0 0 0 0 0 6 1 2 1.95
+0 0 0 0 0 7 1 2 2.25
+0 0 0 0 0 8 1 2 2.55
+0 0 0 0 0 9 1 2 2.85
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 1 1 2 0.45
+1 0 0 0 0 2 1 2 0.75
+1 0 0 0 0 3 1 2 1.05
+1 0 0 0 0 4 1 2 1.35
+1 0 0 0 0 5 1 2 1.65
+1 0 0 0 0 6 1 2 1.95
+1 0 0 0 0 7 1 2 2.25
+1 0 0 0 0 8 1 2 2.55
+1 0 0 0 0 9 1 2 2.85
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/octant/cart3d_x.yl
new file mode 100644
index 000000000..fab75e1a2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/cart3d_x.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 2 2 0.15
+0 0 0 0 0 0 3 2 0.15
+0 0 0 0 0 0 4 2 0.15
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 0 6 2 0.15
+0 0 0 0 0 0 7 2 0.15
+0 0 0 0 0 0 8 2 0.15
+0 0 0 0 0 0 9 2 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 0.15
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 0 2 2 0.15
+1 0 0 0 0 0 3 2 0.15
+1 0 0 0 0 0 4 2 0.15
+1 0 0 0 0 0 5 2 0.15
+1 0 0 0 0 0 6 2 0.15
+1 0 0 0 0 0 7 2 0.15
+1 0 0 0 0 0 8 2 0.15
+1 0 0 0 0 0 9 2 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/octant/cart3d_x.zl
new file mode 100644
index 000000000..3920c211d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/cart3d_x.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 0.15
+0 0 0 0 0 0 1 1 0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 1 3 0.15
+0 0 0 0 0 0 1 4 0.15
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 0 1 6 0.15
+0 0 0 0 0 0 1 7 0.15
+0 0 0 0 0 0 1 8 0.15
+0 0 0 0 0 0 1 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 0.15
+1 0 0 0 0 0 1 1 0.15
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 0 1 3 0.15
+1 0 0 0 0 0 1 4 0.15
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 0 1 6 0.15
+1 0 0 0 0 0 1 7 0.15
+1 0 0 0 0 0 1 8 0.15
+1 0 0 0 0 0 1 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/octant/cart3d_y.xl
new file mode 100644
index 000000000..27036592d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/cart3d_y.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 1 1 2 0.15
+0 0 0 0 0 2 1 2 0.15
+0 0 0 0 0 3 1 2 0.15
+0 0 0 0 0 4 1 2 0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 6 1 2 0.15
+0 0 0 0 0 7 1 2 0.15
+0 0 0 0 0 8 1 2 0.15
+0 0 0 0 0 9 1 2 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 1 1 2 0.15
+1 0 0 0 0 2 1 2 0.15
+1 0 0 0 0 3 1 2 0.15
+1 0 0 0 0 4 1 2 0.15
+1 0 0 0 0 5 1 2 0.15
+1 0 0 0 0 6 1 2 0.15
+1 0 0 0 0 7 1 2 0.15
+1 0 0 0 0 8 1 2 0.15
+1 0 0 0 0 9 1 2 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/octant/cart3d_y.yl
new file mode 100644
index 000000000..c74c2bde5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/cart3d_y.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 -0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 2 2 0.45
+0 0 0 0 0 0 3 2 0.75
+0 0 0 0 0 0 4 2 1.05
+0 0 0 0 0 0 5 2 1.35
+0 0 0 0 0 0 6 2 1.65
+0 0 0 0 0 0 7 2 1.95
+0 0 0 0 0 0 8 2 2.25
+0 0 0 0 0 0 9 2 2.55
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -0.15
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 0 2 2 0.45
+1 0 0 0 0 0 3 2 0.75
+1 0 0 0 0 0 4 2 1.05
+1 0 0 0 0 0 5 2 1.35
+1 0 0 0 0 0 6 2 1.65
+1 0 0 0 0 0 7 2 1.95
+1 0 0 0 0 0 8 2 2.25
+1 0 0 0 0 0 9 2 2.55
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/octant/cart3d_y.zl
new file mode 100644
index 000000000..1325581cd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/cart3d_y.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 0.15
+0 0 0 0 0 0 1 1 0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 1 3 0.15
+0 0 0 0 0 0 1 4 0.15
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 0 1 6 0.15
+0 0 0 0 0 0 1 7 0.15
+0 0 0 0 0 0 1 8 0.15
+0 0 0 0 0 0 1 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 0.15
+1 0 0 0 0 0 1 1 0.15
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 0 1 3 0.15
+1 0 0 0 0 0 1 4 0.15
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 0 1 6 0.15
+1 0 0 0 0 0 1 7 0.15
+1 0 0 0 0 0 1 8 0.15
+1 0 0 0 0 0 1 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/octant/cart3d_z.xl
new file mode 100644
index 000000000..e6951854e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/cart3d_z.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 1 1 2 0.15
+0 0 0 0 0 2 1 2 0.15
+0 0 0 0 0 3 1 2 0.15
+0 0 0 0 0 4 1 2 0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 6 1 2 0.15
+0 0 0 0 0 7 1 2 0.15
+0 0 0 0 0 8 1 2 0.15
+0 0 0 0 0 9 1 2 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 1 1 2 0.15
+1 0 0 0 0 2 1 2 0.15
+1 0 0 0 0 3 1 2 0.15
+1 0 0 0 0 4 1 2 0.15
+1 0 0 0 0 5 1 2 0.15
+1 0 0 0 0 6 1 2 0.15
+1 0 0 0 0 7 1 2 0.15
+1 0 0 0 0 8 1 2 0.15
+1 0 0 0 0 9 1 2 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/octant/cart3d_z.yl
new file mode 100644
index 000000000..18e371387
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/cart3d_z.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 2 2 0.15
+0 0 0 0 0 0 3 2 0.15
+0 0 0 0 0 0 4 2 0.15
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 0 6 2 0.15
+0 0 0 0 0 0 7 2 0.15
+0 0 0 0 0 0 8 2 0.15
+0 0 0 0 0 0 9 2 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 0.15
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 0 2 2 0.15
+1 0 0 0 0 0 3 2 0.15
+1 0 0 0 0 0 4 2 0.15
+1 0 0 0 0 0 5 2 0.15
+1 0 0 0 0 0 6 2 0.15
+1 0 0 0 0 0 7 2 0.15
+1 0 0 0 0 0 8 2 0.15
+1 0 0 0 0 0 9 2 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/octant/cart3d_z.zl
new file mode 100644
index 000000000..99a89a4c7
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/cart3d_z.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 -0.45
+0 0 0 0 0 0 1 1 -0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 1 3 0.45
+0 0 0 0 0 0 1 4 0.75
+0 0 0 0 0 0 1 5 1.05
+0 0 0 0 0 0 1 6 1.35
+0 0 0 0 0 0 1 7 1.65
+0 0 0 0 0 0 1 8 1.95
+0 0 0 0 0 0 1 9 2.25
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -0.45
+1 0 0 0 0 0 1 1 -0.15
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 0 1 3 0.45
+1 0 0 0 0 0 1 4 0.75
+1 0 0 0 0 0 1 5 1.05
+1 0 0 0 0 0 1 6 1.35
+1 0 0 0 0 0 1 7 1.65
+1 0 0 0 0 0 1 8 1.95
+1 0 0 0 0 0 1 9 2.25
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fxx.xl b/CarpetAttic/Cart3dTest/test/octant/fxx.xl
new file mode 100644
index 000000000..bb3587def
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fxx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx x (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 41000102
+0 0 0 0 0 1 1 2 41010102
+0 0 0 0 0 2 1 2 41020102
+0 0 0 0 0 3 1 2 41030102
+0 0 0 0 0 4 1 2 41040102
+0 0 0 0 0 5 1 2 41050102
+0 0 0 0 0 6 1 2 41060102
+0 0 0 0 0 7 1 2 41070102
+0 0 0 0 0 8 1 2 41080102
+0 0 0 0 0 9 1 2 41090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 41000102
+1 0 0 0 0 1 1 2 41010102
+1 0 0 0 0 2 1 2 41020102
+1 0 0 0 0 3 1 2 41030102
+1 0 0 0 0 4 1 2 41040102
+1 0 0 0 0 5 1 2 41050102
+1 0 0 0 0 6 1 2 41060102
+1 0 0 0 0 7 1 2 41070102
+1 0 0 0 0 8 1 2 41080102
+1 0 0 0 0 9 1 2 41090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fxx.yl b/CarpetAttic/Cart3dTest/test/octant/fxx.yl
new file mode 100644
index 000000000..772124b44
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fxx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx y (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 41000002
+0 0 0 0 0 0 1 2 41000102
+0 0 0 0 0 0 2 2 41000202
+0 0 0 0 0 0 3 2 41000302
+0 0 0 0 0 0 4 2 41000402
+0 0 0 0 0 0 5 2 41000502
+0 0 0 0 0 0 6 2 41000602
+0 0 0 0 0 0 7 2 41000702
+0 0 0 0 0 0 8 2 41000802
+0 0 0 0 0 0 9 2 41000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 41000102
+1 0 0 0 0 0 1 2 41000102
+1 0 0 0 0 0 2 2 41000202
+1 0 0 0 0 0 3 2 41000302
+1 0 0 0 0 0 4 2 41000402
+1 0 0 0 0 0 5 2 41000502
+1 0 0 0 0 0 6 2 41000602
+1 0 0 0 0 0 7 2 41000702
+1 0 0 0 0 0 8 2 41000802
+1 0 0 0 0 0 9 2 41000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fxx.zl b/CarpetAttic/Cart3dTest/test/octant/fxx.zl
new file mode 100644
index 000000000..53e1fe356
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fxx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx z (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 41000100
+0 0 0 0 0 0 1 1 41000101
+0 0 0 0 0 0 1 2 41000102
+0 0 0 0 0 0 1 3 41000103
+0 0 0 0 0 0 1 4 41000104
+0 0 0 0 0 0 1 5 41000105
+0 0 0 0 0 0 1 6 41000106
+0 0 0 0 0 0 1 7 41000107
+0 0 0 0 0 0 1 8 41000108
+0 0 0 0 0 0 1 9 41000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 41000103
+1 0 0 0 0 0 1 1 41000102
+1 0 0 0 0 0 1 2 41000102
+1 0 0 0 0 0 1 3 41000103
+1 0 0 0 0 0 1 4 41000104
+1 0 0 0 0 0 1 5 41000105
+1 0 0 0 0 0 1 6 41000106
+1 0 0 0 0 0 1 7 41000107
+1 0 0 0 0 0 1 8 41000108
+1 0 0 0 0 0 1 9 41000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fxy.xl b/CarpetAttic/Cart3dTest/test/octant/fxy.xl
new file mode 100644
index 000000000..e5581373a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fxy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy x (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 42000102
+0 0 0 0 0 1 1 2 42010102
+0 0 0 0 0 2 1 2 42020102
+0 0 0 0 0 3 1 2 42030102
+0 0 0 0 0 4 1 2 42040102
+0 0 0 0 0 5 1 2 42050102
+0 0 0 0 0 6 1 2 42060102
+0 0 0 0 0 7 1 2 42070102
+0 0 0 0 0 8 1 2 42080102
+0 0 0 0 0 9 1 2 42090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 42000102
+1 0 0 0 0 1 1 2 42010102
+1 0 0 0 0 2 1 2 42020102
+1 0 0 0 0 3 1 2 42030102
+1 0 0 0 0 4 1 2 42040102
+1 0 0 0 0 5 1 2 42050102
+1 0 0 0 0 6 1 2 42060102
+1 0 0 0 0 7 1 2 42070102
+1 0 0 0 0 8 1 2 42080102
+1 0 0 0 0 9 1 2 42090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fxy.yl b/CarpetAttic/Cart3dTest/test/octant/fxy.yl
new file mode 100644
index 000000000..1f59e92da
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fxy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy y (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 42000002
+0 0 0 0 0 0 1 2 42000102
+0 0 0 0 0 0 2 2 42000202
+0 0 0 0 0 0 3 2 42000302
+0 0 0 0 0 0 4 2 42000402
+0 0 0 0 0 0 5 2 42000502
+0 0 0 0 0 0 6 2 42000602
+0 0 0 0 0 0 7 2 42000702
+0 0 0 0 0 0 8 2 42000802
+0 0 0 0 0 0 9 2 42000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -42000102
+1 0 0 0 0 0 1 2 42000102
+1 0 0 0 0 0 2 2 42000202
+1 0 0 0 0 0 3 2 42000302
+1 0 0 0 0 0 4 2 42000402
+1 0 0 0 0 0 5 2 42000502
+1 0 0 0 0 0 6 2 42000602
+1 0 0 0 0 0 7 2 42000702
+1 0 0 0 0 0 8 2 42000802
+1 0 0 0 0 0 9 2 42000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fxy.zl b/CarpetAttic/Cart3dTest/test/octant/fxy.zl
new file mode 100644
index 000000000..f0fd92291
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fxy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy z (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 42000100
+0 0 0 0 0 0 1 1 42000101
+0 0 0 0 0 0 1 2 42000102
+0 0 0 0 0 0 1 3 42000103
+0 0 0 0 0 0 1 4 42000104
+0 0 0 0 0 0 1 5 42000105
+0 0 0 0 0 0 1 6 42000106
+0 0 0 0 0 0 1 7 42000107
+0 0 0 0 0 0 1 8 42000108
+0 0 0 0 0 0 1 9 42000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 42000103
+1 0 0 0 0 0 1 1 42000102
+1 0 0 0 0 0 1 2 42000102
+1 0 0 0 0 0 1 3 42000103
+1 0 0 0 0 0 1 4 42000104
+1 0 0 0 0 0 1 5 42000105
+1 0 0 0 0 0 1 6 42000106
+1 0 0 0 0 0 1 7 42000107
+1 0 0 0 0 0 1 8 42000108
+1 0 0 0 0 0 1 9 42000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fxz.xl b/CarpetAttic/Cart3dTest/test/octant/fxz.xl
new file mode 100644
index 000000000..f21c7d9c4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fxz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz x (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 43000102
+0 0 0 0 0 1 1 2 43010102
+0 0 0 0 0 2 1 2 43020102
+0 0 0 0 0 3 1 2 43030102
+0 0 0 0 0 4 1 2 43040102
+0 0 0 0 0 5 1 2 43050102
+0 0 0 0 0 6 1 2 43060102
+0 0 0 0 0 7 1 2 43070102
+0 0 0 0 0 8 1 2 43080102
+0 0 0 0 0 9 1 2 43090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 43000102
+1 0 0 0 0 1 1 2 43010102
+1 0 0 0 0 2 1 2 43020102
+1 0 0 0 0 3 1 2 43030102
+1 0 0 0 0 4 1 2 43040102
+1 0 0 0 0 5 1 2 43050102
+1 0 0 0 0 6 1 2 43060102
+1 0 0 0 0 7 1 2 43070102
+1 0 0 0 0 8 1 2 43080102
+1 0 0 0 0 9 1 2 43090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fxz.yl b/CarpetAttic/Cart3dTest/test/octant/fxz.yl
new file mode 100644
index 000000000..dbddee7d5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fxz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz y (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 43000002
+0 0 0 0 0 0 1 2 43000102
+0 0 0 0 0 0 2 2 43000202
+0 0 0 0 0 0 3 2 43000302
+0 0 0 0 0 0 4 2 43000402
+0 0 0 0 0 0 5 2 43000502
+0 0 0 0 0 0 6 2 43000602
+0 0 0 0 0 0 7 2 43000702
+0 0 0 0 0 0 8 2 43000802
+0 0 0 0 0 0 9 2 43000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 43000102
+1 0 0 0 0 0 1 2 43000102
+1 0 0 0 0 0 2 2 43000202
+1 0 0 0 0 0 3 2 43000302
+1 0 0 0 0 0 4 2 43000402
+1 0 0 0 0 0 5 2 43000502
+1 0 0 0 0 0 6 2 43000602
+1 0 0 0 0 0 7 2 43000702
+1 0 0 0 0 0 8 2 43000802
+1 0 0 0 0 0 9 2 43000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fxz.zl b/CarpetAttic/Cart3dTest/test/octant/fxz.zl
new file mode 100644
index 000000000..295d9dc7f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fxz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz z (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 43000100
+0 0 0 0 0 0 1 1 43000101
+0 0 0 0 0 0 1 2 43000102
+0 0 0 0 0 0 1 3 43000103
+0 0 0 0 0 0 1 4 43000104
+0 0 0 0 0 0 1 5 43000105
+0 0 0 0 0 0 1 6 43000106
+0 0 0 0 0 0 1 7 43000107
+0 0 0 0 0 0 1 8 43000108
+0 0 0 0 0 0 1 9 43000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -43000103
+1 0 0 0 0 0 1 1 -43000102
+1 0 0 0 0 0 1 2 43000102
+1 0 0 0 0 0 1 3 43000103
+1 0 0 0 0 0 1 4 43000104
+1 0 0 0 0 0 1 5 43000105
+1 0 0 0 0 0 1 6 43000106
+1 0 0 0 0 0 1 7 43000107
+1 0 0 0 0 0 1 8 43000108
+1 0 0 0 0 0 1 9 43000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fyx.xl b/CarpetAttic/Cart3dTest/test/octant/fyx.xl
new file mode 100644
index 000000000..29d37aa19
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fyx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx x (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 44000102
+0 0 0 0 0 1 1 2 44010102
+0 0 0 0 0 2 1 2 44020102
+0 0 0 0 0 3 1 2 44030102
+0 0 0 0 0 4 1 2 44040102
+0 0 0 0 0 5 1 2 44050102
+0 0 0 0 0 6 1 2 44060102
+0 0 0 0 0 7 1 2 44070102
+0 0 0 0 0 8 1 2 44080102
+0 0 0 0 0 9 1 2 44090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 44000102
+1 0 0 0 0 1 1 2 44010102
+1 0 0 0 0 2 1 2 44020102
+1 0 0 0 0 3 1 2 44030102
+1 0 0 0 0 4 1 2 44040102
+1 0 0 0 0 5 1 2 44050102
+1 0 0 0 0 6 1 2 44060102
+1 0 0 0 0 7 1 2 44070102
+1 0 0 0 0 8 1 2 44080102
+1 0 0 0 0 9 1 2 44090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fyx.yl b/CarpetAttic/Cart3dTest/test/octant/fyx.yl
new file mode 100644
index 000000000..4fb83fcc6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fyx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx y (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 44000002
+0 0 0 0 0 0 1 2 44000102
+0 0 0 0 0 0 2 2 44000202
+0 0 0 0 0 0 3 2 44000302
+0 0 0 0 0 0 4 2 44000402
+0 0 0 0 0 0 5 2 44000502
+0 0 0 0 0 0 6 2 44000602
+0 0 0 0 0 0 7 2 44000702
+0 0 0 0 0 0 8 2 44000802
+0 0 0 0 0 0 9 2 44000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -44000102
+1 0 0 0 0 0 1 2 44000102
+1 0 0 0 0 0 2 2 44000202
+1 0 0 0 0 0 3 2 44000302
+1 0 0 0 0 0 4 2 44000402
+1 0 0 0 0 0 5 2 44000502
+1 0 0 0 0 0 6 2 44000602
+1 0 0 0 0 0 7 2 44000702
+1 0 0 0 0 0 8 2 44000802
+1 0 0 0 0 0 9 2 44000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fyx.zl b/CarpetAttic/Cart3dTest/test/octant/fyx.zl
new file mode 100644
index 000000000..5555b7562
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fyx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx z (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 44000100
+0 0 0 0 0 0 1 1 44000101
+0 0 0 0 0 0 1 2 44000102
+0 0 0 0 0 0 1 3 44000103
+0 0 0 0 0 0 1 4 44000104
+0 0 0 0 0 0 1 5 44000105
+0 0 0 0 0 0 1 6 44000106
+0 0 0 0 0 0 1 7 44000107
+0 0 0 0 0 0 1 8 44000108
+0 0 0 0 0 0 1 9 44000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 44000103
+1 0 0 0 0 0 1 1 44000102
+1 0 0 0 0 0 1 2 44000102
+1 0 0 0 0 0 1 3 44000103
+1 0 0 0 0 0 1 4 44000104
+1 0 0 0 0 0 1 5 44000105
+1 0 0 0 0 0 1 6 44000106
+1 0 0 0 0 0 1 7 44000107
+1 0 0 0 0 0 1 8 44000108
+1 0 0 0 0 0 1 9 44000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fyy.xl b/CarpetAttic/Cart3dTest/test/octant/fyy.xl
new file mode 100644
index 000000000..4c99ee513
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy x (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 45000102
+0 0 0 0 0 1 1 2 45010102
+0 0 0 0 0 2 1 2 45020102
+0 0 0 0 0 3 1 2 45030102
+0 0 0 0 0 4 1 2 45040102
+0 0 0 0 0 5 1 2 45050102
+0 0 0 0 0 6 1 2 45060102
+0 0 0 0 0 7 1 2 45070102
+0 0 0 0 0 8 1 2 45080102
+0 0 0 0 0 9 1 2 45090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 45000102
+1 0 0 0 0 1 1 2 45010102
+1 0 0 0 0 2 1 2 45020102
+1 0 0 0 0 3 1 2 45030102
+1 0 0 0 0 4 1 2 45040102
+1 0 0 0 0 5 1 2 45050102
+1 0 0 0 0 6 1 2 45060102
+1 0 0 0 0 7 1 2 45070102
+1 0 0 0 0 8 1 2 45080102
+1 0 0 0 0 9 1 2 45090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fyy.yl b/CarpetAttic/Cart3dTest/test/octant/fyy.yl
new file mode 100644
index 000000000..fa9aa1f77
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy y (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 45000002
+0 0 0 0 0 0 1 2 45000102
+0 0 0 0 0 0 2 2 45000202
+0 0 0 0 0 0 3 2 45000302
+0 0 0 0 0 0 4 2 45000402
+0 0 0 0 0 0 5 2 45000502
+0 0 0 0 0 0 6 2 45000602
+0 0 0 0 0 0 7 2 45000702
+0 0 0 0 0 0 8 2 45000802
+0 0 0 0 0 0 9 2 45000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 45000102
+1 0 0 0 0 0 1 2 45000102
+1 0 0 0 0 0 2 2 45000202
+1 0 0 0 0 0 3 2 45000302
+1 0 0 0 0 0 4 2 45000402
+1 0 0 0 0 0 5 2 45000502
+1 0 0 0 0 0 6 2 45000602
+1 0 0 0 0 0 7 2 45000702
+1 0 0 0 0 0 8 2 45000802
+1 0 0 0 0 0 9 2 45000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fyy.zl b/CarpetAttic/Cart3dTest/test/octant/fyy.zl
new file mode 100644
index 000000000..b96e2d846
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy z (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 45000100
+0 0 0 0 0 0 1 1 45000101
+0 0 0 0 0 0 1 2 45000102
+0 0 0 0 0 0 1 3 45000103
+0 0 0 0 0 0 1 4 45000104
+0 0 0 0 0 0 1 5 45000105
+0 0 0 0 0 0 1 6 45000106
+0 0 0 0 0 0 1 7 45000107
+0 0 0 0 0 0 1 8 45000108
+0 0 0 0 0 0 1 9 45000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 45000103
+1 0 0 0 0 0 1 1 45000102
+1 0 0 0 0 0 1 2 45000102
+1 0 0 0 0 0 1 3 45000103
+1 0 0 0 0 0 1 4 45000104
+1 0 0 0 0 0 1 5 45000105
+1 0 0 0 0 0 1 6 45000106
+1 0 0 0 0 0 1 7 45000107
+1 0 0 0 0 0 1 8 45000108
+1 0 0 0 0 0 1 9 45000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fyz.xl b/CarpetAttic/Cart3dTest/test/octant/fyz.xl
new file mode 100644
index 000000000..63279046f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz x (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 46000102
+0 0 0 0 0 1 1 2 46010102
+0 0 0 0 0 2 1 2 46020102
+0 0 0 0 0 3 1 2 46030102
+0 0 0 0 0 4 1 2 46040102
+0 0 0 0 0 5 1 2 46050102
+0 0 0 0 0 6 1 2 46060102
+0 0 0 0 0 7 1 2 46070102
+0 0 0 0 0 8 1 2 46080102
+0 0 0 0 0 9 1 2 46090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 46000102
+1 0 0 0 0 1 1 2 46010102
+1 0 0 0 0 2 1 2 46020102
+1 0 0 0 0 3 1 2 46030102
+1 0 0 0 0 4 1 2 46040102
+1 0 0 0 0 5 1 2 46050102
+1 0 0 0 0 6 1 2 46060102
+1 0 0 0 0 7 1 2 46070102
+1 0 0 0 0 8 1 2 46080102
+1 0 0 0 0 9 1 2 46090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fyz.yl b/CarpetAttic/Cart3dTest/test/octant/fyz.yl
new file mode 100644
index 000000000..99e1178d6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz y (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 46000002
+0 0 0 0 0 0 1 2 46000102
+0 0 0 0 0 0 2 2 46000202
+0 0 0 0 0 0 3 2 46000302
+0 0 0 0 0 0 4 2 46000402
+0 0 0 0 0 0 5 2 46000502
+0 0 0 0 0 0 6 2 46000602
+0 0 0 0 0 0 7 2 46000702
+0 0 0 0 0 0 8 2 46000802
+0 0 0 0 0 0 9 2 46000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -46000102
+1 0 0 0 0 0 1 2 46000102
+1 0 0 0 0 0 2 2 46000202
+1 0 0 0 0 0 3 2 46000302
+1 0 0 0 0 0 4 2 46000402
+1 0 0 0 0 0 5 2 46000502
+1 0 0 0 0 0 6 2 46000602
+1 0 0 0 0 0 7 2 46000702
+1 0 0 0 0 0 8 2 46000802
+1 0 0 0 0 0 9 2 46000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fyz.zl b/CarpetAttic/Cart3dTest/test/octant/fyz.zl
new file mode 100644
index 000000000..56cf066b9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz z (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 46000100
+0 0 0 0 0 0 1 1 46000101
+0 0 0 0 0 0 1 2 46000102
+0 0 0 0 0 0 1 3 46000103
+0 0 0 0 0 0 1 4 46000104
+0 0 0 0 0 0 1 5 46000105
+0 0 0 0 0 0 1 6 46000106
+0 0 0 0 0 0 1 7 46000107
+0 0 0 0 0 0 1 8 46000108
+0 0 0 0 0 0 1 9 46000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -46000103
+1 0 0 0 0 0 1 1 -46000102
+1 0 0 0 0 0 1 2 46000102
+1 0 0 0 0 0 1 3 46000103
+1 0 0 0 0 0 1 4 46000104
+1 0 0 0 0 0 1 5 46000105
+1 0 0 0 0 0 1 6 46000106
+1 0 0 0 0 0 1 7 46000107
+1 0 0 0 0 0 1 8 46000108
+1 0 0 0 0 0 1 9 46000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fzx.xl b/CarpetAttic/Cart3dTest/test/octant/fzx.xl
new file mode 100644
index 000000000..77ebb762b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fzx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx x (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 47000102
+0 0 0 0 0 1 1 2 47010102
+0 0 0 0 0 2 1 2 47020102
+0 0 0 0 0 3 1 2 47030102
+0 0 0 0 0 4 1 2 47040102
+0 0 0 0 0 5 1 2 47050102
+0 0 0 0 0 6 1 2 47060102
+0 0 0 0 0 7 1 2 47070102
+0 0 0 0 0 8 1 2 47080102
+0 0 0 0 0 9 1 2 47090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 47000102
+1 0 0 0 0 1 1 2 47010102
+1 0 0 0 0 2 1 2 47020102
+1 0 0 0 0 3 1 2 47030102
+1 0 0 0 0 4 1 2 47040102
+1 0 0 0 0 5 1 2 47050102
+1 0 0 0 0 6 1 2 47060102
+1 0 0 0 0 7 1 2 47070102
+1 0 0 0 0 8 1 2 47080102
+1 0 0 0 0 9 1 2 47090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fzx.yl b/CarpetAttic/Cart3dTest/test/octant/fzx.yl
new file mode 100644
index 000000000..04a7c2525
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fzx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx y (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 47000002
+0 0 0 0 0 0 1 2 47000102
+0 0 0 0 0 0 2 2 47000202
+0 0 0 0 0 0 3 2 47000302
+0 0 0 0 0 0 4 2 47000402
+0 0 0 0 0 0 5 2 47000502
+0 0 0 0 0 0 6 2 47000602
+0 0 0 0 0 0 7 2 47000702
+0 0 0 0 0 0 8 2 47000802
+0 0 0 0 0 0 9 2 47000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 47000102
+1 0 0 0 0 0 1 2 47000102
+1 0 0 0 0 0 2 2 47000202
+1 0 0 0 0 0 3 2 47000302
+1 0 0 0 0 0 4 2 47000402
+1 0 0 0 0 0 5 2 47000502
+1 0 0 0 0 0 6 2 47000602
+1 0 0 0 0 0 7 2 47000702
+1 0 0 0 0 0 8 2 47000802
+1 0 0 0 0 0 9 2 47000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fzx.zl b/CarpetAttic/Cart3dTest/test/octant/fzx.zl
new file mode 100644
index 000000000..024a64af4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fzx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx z (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 47000100
+0 0 0 0 0 0 1 1 47000101
+0 0 0 0 0 0 1 2 47000102
+0 0 0 0 0 0 1 3 47000103
+0 0 0 0 0 0 1 4 47000104
+0 0 0 0 0 0 1 5 47000105
+0 0 0 0 0 0 1 6 47000106
+0 0 0 0 0 0 1 7 47000107
+0 0 0 0 0 0 1 8 47000108
+0 0 0 0 0 0 1 9 47000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -47000103
+1 0 0 0 0 0 1 1 -47000102
+1 0 0 0 0 0 1 2 47000102
+1 0 0 0 0 0 1 3 47000103
+1 0 0 0 0 0 1 4 47000104
+1 0 0 0 0 0 1 5 47000105
+1 0 0 0 0 0 1 6 47000106
+1 0 0 0 0 0 1 7 47000107
+1 0 0 0 0 0 1 8 47000108
+1 0 0 0 0 0 1 9 47000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fzy.xl b/CarpetAttic/Cart3dTest/test/octant/fzy.xl
new file mode 100644
index 000000000..ef9d32810
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fzy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy x (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 48000102
+0 0 0 0 0 1 1 2 48010102
+0 0 0 0 0 2 1 2 48020102
+0 0 0 0 0 3 1 2 48030102
+0 0 0 0 0 4 1 2 48040102
+0 0 0 0 0 5 1 2 48050102
+0 0 0 0 0 6 1 2 48060102
+0 0 0 0 0 7 1 2 48070102
+0 0 0 0 0 8 1 2 48080102
+0 0 0 0 0 9 1 2 48090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 48000102
+1 0 0 0 0 1 1 2 48010102
+1 0 0 0 0 2 1 2 48020102
+1 0 0 0 0 3 1 2 48030102
+1 0 0 0 0 4 1 2 48040102
+1 0 0 0 0 5 1 2 48050102
+1 0 0 0 0 6 1 2 48060102
+1 0 0 0 0 7 1 2 48070102
+1 0 0 0 0 8 1 2 48080102
+1 0 0 0 0 9 1 2 48090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fzy.yl b/CarpetAttic/Cart3dTest/test/octant/fzy.yl
new file mode 100644
index 000000000..839db63ae
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fzy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy y (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 48000002
+0 0 0 0 0 0 1 2 48000102
+0 0 0 0 0 0 2 2 48000202
+0 0 0 0 0 0 3 2 48000302
+0 0 0 0 0 0 4 2 48000402
+0 0 0 0 0 0 5 2 48000502
+0 0 0 0 0 0 6 2 48000602
+0 0 0 0 0 0 7 2 48000702
+0 0 0 0 0 0 8 2 48000802
+0 0 0 0 0 0 9 2 48000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -48000102
+1 0 0 0 0 0 1 2 48000102
+1 0 0 0 0 0 2 2 48000202
+1 0 0 0 0 0 3 2 48000302
+1 0 0 0 0 0 4 2 48000402
+1 0 0 0 0 0 5 2 48000502
+1 0 0 0 0 0 6 2 48000602
+1 0 0 0 0 0 7 2 48000702
+1 0 0 0 0 0 8 2 48000802
+1 0 0 0 0 0 9 2 48000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fzy.zl b/CarpetAttic/Cart3dTest/test/octant/fzy.zl
new file mode 100644
index 000000000..4b0e6deab
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fzy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy z (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 48000100
+0 0 0 0 0 0 1 1 48000101
+0 0 0 0 0 0 1 2 48000102
+0 0 0 0 0 0 1 3 48000103
+0 0 0 0 0 0 1 4 48000104
+0 0 0 0 0 0 1 5 48000105
+0 0 0 0 0 0 1 6 48000106
+0 0 0 0 0 0 1 7 48000107
+0 0 0 0 0 0 1 8 48000108
+0 0 0 0 0 0 1 9 48000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -48000103
+1 0 0 0 0 0 1 1 -48000102
+1 0 0 0 0 0 1 2 48000102
+1 0 0 0 0 0 1 3 48000103
+1 0 0 0 0 0 1 4 48000104
+1 0 0 0 0 0 1 5 48000105
+1 0 0 0 0 0 1 6 48000106
+1 0 0 0 0 0 1 7 48000107
+1 0 0 0 0 0 1 8 48000108
+1 0 0 0 0 0 1 9 48000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fzz.xl b/CarpetAttic/Cart3dTest/test/octant/fzz.xl
new file mode 100644
index 000000000..ee3f5002e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz x (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 49000102
+0 0 0 0 0 1 1 2 49010102
+0 0 0 0 0 2 1 2 49020102
+0 0 0 0 0 3 1 2 49030102
+0 0 0 0 0 4 1 2 49040102
+0 0 0 0 0 5 1 2 49050102
+0 0 0 0 0 6 1 2 49060102
+0 0 0 0 0 7 1 2 49070102
+0 0 0 0 0 8 1 2 49080102
+0 0 0 0 0 9 1 2 49090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 49000102
+1 0 0 0 0 1 1 2 49010102
+1 0 0 0 0 2 1 2 49020102
+1 0 0 0 0 3 1 2 49030102
+1 0 0 0 0 4 1 2 49040102
+1 0 0 0 0 5 1 2 49050102
+1 0 0 0 0 6 1 2 49060102
+1 0 0 0 0 7 1 2 49070102
+1 0 0 0 0 8 1 2 49080102
+1 0 0 0 0 9 1 2 49090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fzz.yl b/CarpetAttic/Cart3dTest/test/octant/fzz.yl
new file mode 100644
index 000000000..955da7993
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz y (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 49000002
+0 0 0 0 0 0 1 2 49000102
+0 0 0 0 0 0 2 2 49000202
+0 0 0 0 0 0 3 2 49000302
+0 0 0 0 0 0 4 2 49000402
+0 0 0 0 0 0 5 2 49000502
+0 0 0 0 0 0 6 2 49000602
+0 0 0 0 0 0 7 2 49000702
+0 0 0 0 0 0 8 2 49000802
+0 0 0 0 0 0 9 2 49000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 49000102
+1 0 0 0 0 0 1 2 49000102
+1 0 0 0 0 0 2 2 49000202
+1 0 0 0 0 0 3 2 49000302
+1 0 0 0 0 0 4 2 49000402
+1 0 0 0 0 0 5 2 49000502
+1 0 0 0 0 0 6 2 49000602
+1 0 0 0 0 0 7 2 49000702
+1 0 0 0 0 0 8 2 49000802
+1 0 0 0 0 0 9 2 49000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/fzz.zl b/CarpetAttic/Cart3dTest/test/octant/fzz.zl
new file mode 100644
index 000000000..045833d97
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/fzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz z (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 49000100
+0 0 0 0 0 0 1 1 49000101
+0 0 0 0 0 0 1 2 49000102
+0 0 0 0 0 0 1 3 49000103
+0 0 0 0 0 0 1 4 49000104
+0 0 0 0 0 0 1 5 49000105
+0 0 0 0 0 0 1 6 49000106
+0 0 0 0 0 0 1 7 49000107
+0 0 0 0 0 0 1 8 49000108
+0 0 0 0 0 0 1 9 49000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 49000103
+1 0 0 0 0 0 1 1 49000102
+1 0 0 0 0 0 1 2 49000102
+1 0 0 0 0 0 1 3 49000103
+1 0 0 0 0 0 1 4 49000104
+1 0 0 0 0 0 1 5 49000105
+1 0 0 0 0 0 1 6 49000106
+1 0 0 0 0 0 1 7 49000107
+1 0 0 0 0 0 1 8 49000108
+1 0 0 0 0 0 1 9 49000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/s.xl b/CarpetAttic/Cart3dTest/test/octant/s.xl
new file mode 100644
index 000000000..4d130828b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/s.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::s x (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 1000102
+0 0 0 0 0 1 1 2 1010102
+0 0 0 0 0 2 1 2 1020102
+0 0 0 0 0 3 1 2 1030102
+0 0 0 0 0 4 1 2 1040102
+0 0 0 0 0 5 1 2 1050102
+0 0 0 0 0 6 1 2 1060102
+0 0 0 0 0 7 1 2 1070102
+0 0 0 0 0 8 1 2 1080102
+0 0 0 0 0 9 1 2 1090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 1000102
+1 0 0 0 0 1 1 2 1010102
+1 0 0 0 0 2 1 2 1020102
+1 0 0 0 0 3 1 2 1030102
+1 0 0 0 0 4 1 2 1040102
+1 0 0 0 0 5 1 2 1050102
+1 0 0 0 0 6 1 2 1060102
+1 0 0 0 0 7 1 2 1070102
+1 0 0 0 0 8 1 2 1080102
+1 0 0 0 0 9 1 2 1090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/s.yl b/CarpetAttic/Cart3dTest/test/octant/s.yl
new file mode 100644
index 000000000..90afa5242
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/s.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::s y (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 1000002
+0 0 0 0 0 0 1 2 1000102
+0 0 0 0 0 0 2 2 1000202
+0 0 0 0 0 0 3 2 1000302
+0 0 0 0 0 0 4 2 1000402
+0 0 0 0 0 0 5 2 1000502
+0 0 0 0 0 0 6 2 1000602
+0 0 0 0 0 0 7 2 1000702
+0 0 0 0 0 0 8 2 1000802
+0 0 0 0 0 0 9 2 1000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 1000102
+1 0 0 0 0 0 1 2 1000102
+1 0 0 0 0 0 2 2 1000202
+1 0 0 0 0 0 3 2 1000302
+1 0 0 0 0 0 4 2 1000402
+1 0 0 0 0 0 5 2 1000502
+1 0 0 0 0 0 6 2 1000602
+1 0 0 0 0 0 7 2 1000702
+1 0 0 0 0 0 8 2 1000802
+1 0 0 0 0 0 9 2 1000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/s.zl b/CarpetAttic/Cart3dTest/test/octant/s.zl
new file mode 100644
index 000000000..d77401f61
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/s.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::s z (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 1000100
+0 0 0 0 0 0 1 1 1000101
+0 0 0 0 0 0 1 2 1000102
+0 0 0 0 0 0 1 3 1000103
+0 0 0 0 0 0 1 4 1000104
+0 0 0 0 0 0 1 5 1000105
+0 0 0 0 0 0 1 6 1000106
+0 0 0 0 0 0 1 7 1000107
+0 0 0 0 0 0 1 8 1000108
+0 0 0 0 0 0 1 9 1000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 1000103
+1 0 0 0 0 0 1 1 1000102
+1 0 0 0 0 0 1 2 1000102
+1 0 0 0 0 0 1 3 1000103
+1 0 0 0 0 0 1 4 1000104
+1 0 0 0 0 0 1 5 1000105
+1 0 0 0 0 0 1 6 1000106
+1 0 0 0 0 0 1 7 1000107
+1 0 0 0 0 0 1 8 1000108
+1 0 0 0 0 0 1 9 1000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/octant/spher3d_r.xl
new file mode 100644
index 000000000..dcd9d5780
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/spher3d_r.xl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 0.259807621135332
+0 0 0 0 0 1 1 2 0.49749371855331
+0 0 0 0 0 2 1 2 0.779422863405995
+0 0 0 0 0 3 1 2 1.07121426428143
+0 0 0 0 0 4 1 2 1.36656503687164
+0 0 0 0 0 5 1 2 1.66358047596141
+0 0 0 0 0 6 1 2 1.9615045245933
+0 0 0 0 0 7 1 2 2.2599778759979
+0 0 0 0 0 8 1 2 2.5588083163848
+0 0 0 0 0 9 1 2 2.85788383248865
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 0.259807621135332
+1 0 0 0 0 1 1 2 0.49749371855331
+1 0 0 0 0 2 1 2 0.779422863405995
+1 0 0 0 0 3 1 2 1.07121426428143
+1 0 0 0 0 4 1 2 1.36656503687164
+1 0 0 0 0 5 1 2 1.66358047596141
+1 0 0 0 0 6 1 2 1.9615045245933
+1 0 0 0 0 7 1 2 2.2599778759979
+1 0 0 0 0 8 1 2 2.5588083163848
+1 0 0 0 0 9 1 2 2.85788383248865
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/octant/spher3d_r.yl
new file mode 100644
index 000000000..f6173a532
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/spher3d_r.yl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 0.259807621135332
+0 0 0 0 0 0 1 2 0.259807621135332
+0 0 0 0 0 0 2 2 0.49749371855331
+0 0 0 0 0 0 3 2 0.779422863405995
+0 0 0 0 0 0 4 2 1.07121426428143
+0 0 0 0 0 0 5 2 1.36656503687164
+0 0 0 0 0 0 6 2 1.66358047596141
+0 0 0 0 0 0 7 2 1.9615045245933
+0 0 0 0 0 0 8 2 2.2599778759979
+0 0 0 0 0 0 9 2 2.5588083163848
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 0.259807621135332
+1 0 0 0 0 0 1 2 0.259807621135332
+1 0 0 0 0 0 2 2 0.49749371855331
+1 0 0 0 0 0 3 2 0.779422863405995
+1 0 0 0 0 0 4 2 1.07121426428143
+1 0 0 0 0 0 5 2 1.36656503687164
+1 0 0 0 0 0 6 2 1.66358047596141
+1 0 0 0 0 0 7 2 1.9615045245933
+1 0 0 0 0 0 8 2 2.2599778759979
+1 0 0 0 0 0 9 2 2.5588083163848
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/octant/spher3d_r.zl
new file mode 100644
index 000000000..444df2582
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/spher3d_r.zl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 0.49749371855331
+0 0 0 0 0 0 1 1 0.259807621135332
+0 0 0 0 0 0 1 2 0.259807621135332
+0 0 0 0 0 0 1 3 0.49749371855331
+0 0 0 0 0 0 1 4 0.779422863405995
+0 0 0 0 0 0 1 5 1.07121426428143
+0 0 0 0 0 0 1 6 1.36656503687164
+0 0 0 0 0 0 1 7 1.66358047596141
+0 0 0 0 0 0 1 8 1.9615045245933
+0 0 0 0 0 0 1 9 2.2599778759979
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 0.49749371855331
+1 0 0 0 0 0 1 1 0.259807621135332
+1 0 0 0 0 0 1 2 0.259807621135332
+1 0 0 0 0 0 1 3 0.49749371855331
+1 0 0 0 0 0 1 4 0.779422863405995
+1 0 0 0 0 0 1 5 1.07121426428143
+1 0 0 0 0 0 1 6 1.36656503687164
+1 0 0 0 0 0 1 7 1.66358047596141
+1 0 0 0 0 0 1 8 1.9615045245933
+1 0 0 0 0 0 1 9 2.2599778759979
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/txx.xl b/CarpetAttic/Cart3dTest/test/octant/txx.xl
new file mode 100644
index 000000000..758bc5da2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/txx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx x (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 21000102
+0 0 0 0 0 1 1 2 21010102
+0 0 0 0 0 2 1 2 21020102
+0 0 0 0 0 3 1 2 21030102
+0 0 0 0 0 4 1 2 21040102
+0 0 0 0 0 5 1 2 21050102
+0 0 0 0 0 6 1 2 21060102
+0 0 0 0 0 7 1 2 21070102
+0 0 0 0 0 8 1 2 21080102
+0 0 0 0 0 9 1 2 21090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 21000102
+1 0 0 0 0 1 1 2 21010102
+1 0 0 0 0 2 1 2 21020102
+1 0 0 0 0 3 1 2 21030102
+1 0 0 0 0 4 1 2 21040102
+1 0 0 0 0 5 1 2 21050102
+1 0 0 0 0 6 1 2 21060102
+1 0 0 0 0 7 1 2 21070102
+1 0 0 0 0 8 1 2 21080102
+1 0 0 0 0 9 1 2 21090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/txx.yl b/CarpetAttic/Cart3dTest/test/octant/txx.yl
new file mode 100644
index 000000000..b0c7a28ba
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/txx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx y (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 21000002
+0 0 0 0 0 0 1 2 21000102
+0 0 0 0 0 0 2 2 21000202
+0 0 0 0 0 0 3 2 21000302
+0 0 0 0 0 0 4 2 21000402
+0 0 0 0 0 0 5 2 21000502
+0 0 0 0 0 0 6 2 21000602
+0 0 0 0 0 0 7 2 21000702
+0 0 0 0 0 0 8 2 21000802
+0 0 0 0 0 0 9 2 21000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 21000102
+1 0 0 0 0 0 1 2 21000102
+1 0 0 0 0 0 2 2 21000202
+1 0 0 0 0 0 3 2 21000302
+1 0 0 0 0 0 4 2 21000402
+1 0 0 0 0 0 5 2 21000502
+1 0 0 0 0 0 6 2 21000602
+1 0 0 0 0 0 7 2 21000702
+1 0 0 0 0 0 8 2 21000802
+1 0 0 0 0 0 9 2 21000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/txx.zl b/CarpetAttic/Cart3dTest/test/octant/txx.zl
new file mode 100644
index 000000000..63d707040
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/txx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx z (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 21000100
+0 0 0 0 0 0 1 1 21000101
+0 0 0 0 0 0 1 2 21000102
+0 0 0 0 0 0 1 3 21000103
+0 0 0 0 0 0 1 4 21000104
+0 0 0 0 0 0 1 5 21000105
+0 0 0 0 0 0 1 6 21000106
+0 0 0 0 0 0 1 7 21000107
+0 0 0 0 0 0 1 8 21000108
+0 0 0 0 0 0 1 9 21000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 21000103
+1 0 0 0 0 0 1 1 21000102
+1 0 0 0 0 0 1 2 21000102
+1 0 0 0 0 0 1 3 21000103
+1 0 0 0 0 0 1 4 21000104
+1 0 0 0 0 0 1 5 21000105
+1 0 0 0 0 0 1 6 21000106
+1 0 0 0 0 0 1 7 21000107
+1 0 0 0 0 0 1 8 21000108
+1 0 0 0 0 0 1 9 21000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/txy.xl b/CarpetAttic/Cart3dTest/test/octant/txy.xl
new file mode 100644
index 000000000..b2f469349
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/txy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy x (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 22000102
+0 0 0 0 0 1 1 2 22010102
+0 0 0 0 0 2 1 2 22020102
+0 0 0 0 0 3 1 2 22030102
+0 0 0 0 0 4 1 2 22040102
+0 0 0 0 0 5 1 2 22050102
+0 0 0 0 0 6 1 2 22060102
+0 0 0 0 0 7 1 2 22070102
+0 0 0 0 0 8 1 2 22080102
+0 0 0 0 0 9 1 2 22090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 22000102
+1 0 0 0 0 1 1 2 22010102
+1 0 0 0 0 2 1 2 22020102
+1 0 0 0 0 3 1 2 22030102
+1 0 0 0 0 4 1 2 22040102
+1 0 0 0 0 5 1 2 22050102
+1 0 0 0 0 6 1 2 22060102
+1 0 0 0 0 7 1 2 22070102
+1 0 0 0 0 8 1 2 22080102
+1 0 0 0 0 9 1 2 22090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/txy.yl b/CarpetAttic/Cart3dTest/test/octant/txy.yl
new file mode 100644
index 000000000..df9ed81da
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/txy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy y (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 22000002
+0 0 0 0 0 0 1 2 22000102
+0 0 0 0 0 0 2 2 22000202
+0 0 0 0 0 0 3 2 22000302
+0 0 0 0 0 0 4 2 22000402
+0 0 0 0 0 0 5 2 22000502
+0 0 0 0 0 0 6 2 22000602
+0 0 0 0 0 0 7 2 22000702
+0 0 0 0 0 0 8 2 22000802
+0 0 0 0 0 0 9 2 22000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -22000102
+1 0 0 0 0 0 1 2 22000102
+1 0 0 0 0 0 2 2 22000202
+1 0 0 0 0 0 3 2 22000302
+1 0 0 0 0 0 4 2 22000402
+1 0 0 0 0 0 5 2 22000502
+1 0 0 0 0 0 6 2 22000602
+1 0 0 0 0 0 7 2 22000702
+1 0 0 0 0 0 8 2 22000802
+1 0 0 0 0 0 9 2 22000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/txy.zl b/CarpetAttic/Cart3dTest/test/octant/txy.zl
new file mode 100644
index 000000000..ee41d856f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/txy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy z (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 22000100
+0 0 0 0 0 0 1 1 22000101
+0 0 0 0 0 0 1 2 22000102
+0 0 0 0 0 0 1 3 22000103
+0 0 0 0 0 0 1 4 22000104
+0 0 0 0 0 0 1 5 22000105
+0 0 0 0 0 0 1 6 22000106
+0 0 0 0 0 0 1 7 22000107
+0 0 0 0 0 0 1 8 22000108
+0 0 0 0 0 0 1 9 22000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 22000103
+1 0 0 0 0 0 1 1 22000102
+1 0 0 0 0 0 1 2 22000102
+1 0 0 0 0 0 1 3 22000103
+1 0 0 0 0 0 1 4 22000104
+1 0 0 0 0 0 1 5 22000105
+1 0 0 0 0 0 1 6 22000106
+1 0 0 0 0 0 1 7 22000107
+1 0 0 0 0 0 1 8 22000108
+1 0 0 0 0 0 1 9 22000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/txz.xl b/CarpetAttic/Cart3dTest/test/octant/txz.xl
new file mode 100644
index 000000000..da3186e96
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/txz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz x (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 23000102
+0 0 0 0 0 1 1 2 23010102
+0 0 0 0 0 2 1 2 23020102
+0 0 0 0 0 3 1 2 23030102
+0 0 0 0 0 4 1 2 23040102
+0 0 0 0 0 5 1 2 23050102
+0 0 0 0 0 6 1 2 23060102
+0 0 0 0 0 7 1 2 23070102
+0 0 0 0 0 8 1 2 23080102
+0 0 0 0 0 9 1 2 23090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 23000102
+1 0 0 0 0 1 1 2 23010102
+1 0 0 0 0 2 1 2 23020102
+1 0 0 0 0 3 1 2 23030102
+1 0 0 0 0 4 1 2 23040102
+1 0 0 0 0 5 1 2 23050102
+1 0 0 0 0 6 1 2 23060102
+1 0 0 0 0 7 1 2 23070102
+1 0 0 0 0 8 1 2 23080102
+1 0 0 0 0 9 1 2 23090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/txz.yl b/CarpetAttic/Cart3dTest/test/octant/txz.yl
new file mode 100644
index 000000000..f5954d94d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/txz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz y (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 23000002
+0 0 0 0 0 0 1 2 23000102
+0 0 0 0 0 0 2 2 23000202
+0 0 0 0 0 0 3 2 23000302
+0 0 0 0 0 0 4 2 23000402
+0 0 0 0 0 0 5 2 23000502
+0 0 0 0 0 0 6 2 23000602
+0 0 0 0 0 0 7 2 23000702
+0 0 0 0 0 0 8 2 23000802
+0 0 0 0 0 0 9 2 23000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 23000102
+1 0 0 0 0 0 1 2 23000102
+1 0 0 0 0 0 2 2 23000202
+1 0 0 0 0 0 3 2 23000302
+1 0 0 0 0 0 4 2 23000402
+1 0 0 0 0 0 5 2 23000502
+1 0 0 0 0 0 6 2 23000602
+1 0 0 0 0 0 7 2 23000702
+1 0 0 0 0 0 8 2 23000802
+1 0 0 0 0 0 9 2 23000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/txz.zl b/CarpetAttic/Cart3dTest/test/octant/txz.zl
new file mode 100644
index 000000000..b5a186000
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/txz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz z (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 23000100
+0 0 0 0 0 0 1 1 23000101
+0 0 0 0 0 0 1 2 23000102
+0 0 0 0 0 0 1 3 23000103
+0 0 0 0 0 0 1 4 23000104
+0 0 0 0 0 0 1 5 23000105
+0 0 0 0 0 0 1 6 23000106
+0 0 0 0 0 0 1 7 23000107
+0 0 0 0 0 0 1 8 23000108
+0 0 0 0 0 0 1 9 23000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -23000103
+1 0 0 0 0 0 1 1 -23000102
+1 0 0 0 0 0 1 2 23000102
+1 0 0 0 0 0 1 3 23000103
+1 0 0 0 0 0 1 4 23000104
+1 0 0 0 0 0 1 5 23000105
+1 0 0 0 0 0 1 6 23000106
+1 0 0 0 0 0 1 7 23000107
+1 0 0 0 0 0 1 8 23000108
+1 0 0 0 0 0 1 9 23000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/tyy.xl b/CarpetAttic/Cart3dTest/test/octant/tyy.xl
new file mode 100644
index 000000000..ea941f8c5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/tyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy x (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 24000102
+0 0 0 0 0 1 1 2 24010102
+0 0 0 0 0 2 1 2 24020102
+0 0 0 0 0 3 1 2 24030102
+0 0 0 0 0 4 1 2 24040102
+0 0 0 0 0 5 1 2 24050102
+0 0 0 0 0 6 1 2 24060102
+0 0 0 0 0 7 1 2 24070102
+0 0 0 0 0 8 1 2 24080102
+0 0 0 0 0 9 1 2 24090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 24000102
+1 0 0 0 0 1 1 2 24010102
+1 0 0 0 0 2 1 2 24020102
+1 0 0 0 0 3 1 2 24030102
+1 0 0 0 0 4 1 2 24040102
+1 0 0 0 0 5 1 2 24050102
+1 0 0 0 0 6 1 2 24060102
+1 0 0 0 0 7 1 2 24070102
+1 0 0 0 0 8 1 2 24080102
+1 0 0 0 0 9 1 2 24090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/tyy.yl b/CarpetAttic/Cart3dTest/test/octant/tyy.yl
new file mode 100644
index 000000000..99a4256df
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/tyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy y (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 24000002
+0 0 0 0 0 0 1 2 24000102
+0 0 0 0 0 0 2 2 24000202
+0 0 0 0 0 0 3 2 24000302
+0 0 0 0 0 0 4 2 24000402
+0 0 0 0 0 0 5 2 24000502
+0 0 0 0 0 0 6 2 24000602
+0 0 0 0 0 0 7 2 24000702
+0 0 0 0 0 0 8 2 24000802
+0 0 0 0 0 0 9 2 24000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 24000102
+1 0 0 0 0 0 1 2 24000102
+1 0 0 0 0 0 2 2 24000202
+1 0 0 0 0 0 3 2 24000302
+1 0 0 0 0 0 4 2 24000402
+1 0 0 0 0 0 5 2 24000502
+1 0 0 0 0 0 6 2 24000602
+1 0 0 0 0 0 7 2 24000702
+1 0 0 0 0 0 8 2 24000802
+1 0 0 0 0 0 9 2 24000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/tyy.zl b/CarpetAttic/Cart3dTest/test/octant/tyy.zl
new file mode 100644
index 000000000..1ad9be74b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/tyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy z (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 24000100
+0 0 0 0 0 0 1 1 24000101
+0 0 0 0 0 0 1 2 24000102
+0 0 0 0 0 0 1 3 24000103
+0 0 0 0 0 0 1 4 24000104
+0 0 0 0 0 0 1 5 24000105
+0 0 0 0 0 0 1 6 24000106
+0 0 0 0 0 0 1 7 24000107
+0 0 0 0 0 0 1 8 24000108
+0 0 0 0 0 0 1 9 24000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 24000103
+1 0 0 0 0 0 1 1 24000102
+1 0 0 0 0 0 1 2 24000102
+1 0 0 0 0 0 1 3 24000103
+1 0 0 0 0 0 1 4 24000104
+1 0 0 0 0 0 1 5 24000105
+1 0 0 0 0 0 1 6 24000106
+1 0 0 0 0 0 1 7 24000107
+1 0 0 0 0 0 1 8 24000108
+1 0 0 0 0 0 1 9 24000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/tyz.xl b/CarpetAttic/Cart3dTest/test/octant/tyz.xl
new file mode 100644
index 000000000..403a0ee5a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/tyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz x (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 25000102
+0 0 0 0 0 1 1 2 25010102
+0 0 0 0 0 2 1 2 25020102
+0 0 0 0 0 3 1 2 25030102
+0 0 0 0 0 4 1 2 25040102
+0 0 0 0 0 5 1 2 25050102
+0 0 0 0 0 6 1 2 25060102
+0 0 0 0 0 7 1 2 25070102
+0 0 0 0 0 8 1 2 25080102
+0 0 0 0 0 9 1 2 25090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 25000102
+1 0 0 0 0 1 1 2 25010102
+1 0 0 0 0 2 1 2 25020102
+1 0 0 0 0 3 1 2 25030102
+1 0 0 0 0 4 1 2 25040102
+1 0 0 0 0 5 1 2 25050102
+1 0 0 0 0 6 1 2 25060102
+1 0 0 0 0 7 1 2 25070102
+1 0 0 0 0 8 1 2 25080102
+1 0 0 0 0 9 1 2 25090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/tyz.yl b/CarpetAttic/Cart3dTest/test/octant/tyz.yl
new file mode 100644
index 000000000..88e5c05a3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/tyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz y (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 25000002
+0 0 0 0 0 0 1 2 25000102
+0 0 0 0 0 0 2 2 25000202
+0 0 0 0 0 0 3 2 25000302
+0 0 0 0 0 0 4 2 25000402
+0 0 0 0 0 0 5 2 25000502
+0 0 0 0 0 0 6 2 25000602
+0 0 0 0 0 0 7 2 25000702
+0 0 0 0 0 0 8 2 25000802
+0 0 0 0 0 0 9 2 25000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -25000102
+1 0 0 0 0 0 1 2 25000102
+1 0 0 0 0 0 2 2 25000202
+1 0 0 0 0 0 3 2 25000302
+1 0 0 0 0 0 4 2 25000402
+1 0 0 0 0 0 5 2 25000502
+1 0 0 0 0 0 6 2 25000602
+1 0 0 0 0 0 7 2 25000702
+1 0 0 0 0 0 8 2 25000802
+1 0 0 0 0 0 9 2 25000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/tyz.zl b/CarpetAttic/Cart3dTest/test/octant/tyz.zl
new file mode 100644
index 000000000..10cfca3bf
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/tyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz z (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 25000100
+0 0 0 0 0 0 1 1 25000101
+0 0 0 0 0 0 1 2 25000102
+0 0 0 0 0 0 1 3 25000103
+0 0 0 0 0 0 1 4 25000104
+0 0 0 0 0 0 1 5 25000105
+0 0 0 0 0 0 1 6 25000106
+0 0 0 0 0 0 1 7 25000107
+0 0 0 0 0 0 1 8 25000108
+0 0 0 0 0 0 1 9 25000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -25000103
+1 0 0 0 0 0 1 1 -25000102
+1 0 0 0 0 0 1 2 25000102
+1 0 0 0 0 0 1 3 25000103
+1 0 0 0 0 0 1 4 25000104
+1 0 0 0 0 0 1 5 25000105
+1 0 0 0 0 0 1 6 25000106
+1 0 0 0 0 0 1 7 25000107
+1 0 0 0 0 0 1 8 25000108
+1 0 0 0 0 0 1 9 25000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/tzz.xl b/CarpetAttic/Cart3dTest/test/octant/tzz.xl
new file mode 100644
index 000000000..9c42a9243
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/tzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz x (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 26000102
+0 0 0 0 0 1 1 2 26010102
+0 0 0 0 0 2 1 2 26020102
+0 0 0 0 0 3 1 2 26030102
+0 0 0 0 0 4 1 2 26040102
+0 0 0 0 0 5 1 2 26050102
+0 0 0 0 0 6 1 2 26060102
+0 0 0 0 0 7 1 2 26070102
+0 0 0 0 0 8 1 2 26080102
+0 0 0 0 0 9 1 2 26090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 26000102
+1 0 0 0 0 1 1 2 26010102
+1 0 0 0 0 2 1 2 26020102
+1 0 0 0 0 3 1 2 26030102
+1 0 0 0 0 4 1 2 26040102
+1 0 0 0 0 5 1 2 26050102
+1 0 0 0 0 6 1 2 26060102
+1 0 0 0 0 7 1 2 26070102
+1 0 0 0 0 8 1 2 26080102
+1 0 0 0 0 9 1 2 26090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/tzz.yl b/CarpetAttic/Cart3dTest/test/octant/tzz.yl
new file mode 100644
index 000000000..976fd4842
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/tzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz y (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 26000002
+0 0 0 0 0 0 1 2 26000102
+0 0 0 0 0 0 2 2 26000202
+0 0 0 0 0 0 3 2 26000302
+0 0 0 0 0 0 4 2 26000402
+0 0 0 0 0 0 5 2 26000502
+0 0 0 0 0 0 6 2 26000602
+0 0 0 0 0 0 7 2 26000702
+0 0 0 0 0 0 8 2 26000802
+0 0 0 0 0 0 9 2 26000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 26000102
+1 0 0 0 0 0 1 2 26000102
+1 0 0 0 0 0 2 2 26000202
+1 0 0 0 0 0 3 2 26000302
+1 0 0 0 0 0 4 2 26000402
+1 0 0 0 0 0 5 2 26000502
+1 0 0 0 0 0 6 2 26000602
+1 0 0 0 0 0 7 2 26000702
+1 0 0 0 0 0 8 2 26000802
+1 0 0 0 0 0 9 2 26000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/tzz.zl b/CarpetAttic/Cart3dTest/test/octant/tzz.zl
new file mode 100644
index 000000000..7d79ee5b9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/tzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz z (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 26000100
+0 0 0 0 0 0 1 1 26000101
+0 0 0 0 0 0 1 2 26000102
+0 0 0 0 0 0 1 3 26000103
+0 0 0 0 0 0 1 4 26000104
+0 0 0 0 0 0 1 5 26000105
+0 0 0 0 0 0 1 6 26000106
+0 0 0 0 0 0 1 7 26000107
+0 0 0 0 0 0 1 8 26000108
+0 0 0 0 0 0 1 9 26000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 26000103
+1 0 0 0 0 0 1 1 26000102
+1 0 0 0 0 0 1 2 26000102
+1 0 0 0 0 0 1 3 26000103
+1 0 0 0 0 0 1 4 26000104
+1 0 0 0 0 0 1 5 26000105
+1 0 0 0 0 0 1 6 26000106
+1 0 0 0 0 0 1 7 26000107
+1 0 0 0 0 0 1 8 26000108
+1 0 0 0 0 0 1 9 26000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/vx.xl b/CarpetAttic/Cart3dTest/test/octant/vx.xl
new file mode 100644
index 000000000..71be3b196
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/vx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 11000102
+0 0 0 0 0 1 1 2 11010102
+0 0 0 0 0 2 1 2 11020102
+0 0 0 0 0 3 1 2 11030102
+0 0 0 0 0 4 1 2 11040102
+0 0 0 0 0 5 1 2 11050102
+0 0 0 0 0 6 1 2 11060102
+0 0 0 0 0 7 1 2 11070102
+0 0 0 0 0 8 1 2 11080102
+0 0 0 0 0 9 1 2 11090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 11000102
+1 0 0 0 0 1 1 2 11010102
+1 0 0 0 0 2 1 2 11020102
+1 0 0 0 0 3 1 2 11030102
+1 0 0 0 0 4 1 2 11040102
+1 0 0 0 0 5 1 2 11050102
+1 0 0 0 0 6 1 2 11060102
+1 0 0 0 0 7 1 2 11070102
+1 0 0 0 0 8 1 2 11080102
+1 0 0 0 0 9 1 2 11090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/vx.yl b/CarpetAttic/Cart3dTest/test/octant/vx.yl
new file mode 100644
index 000000000..b90a1f35c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/vx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 11000002
+0 0 0 0 0 0 1 2 11000102
+0 0 0 0 0 0 2 2 11000202
+0 0 0 0 0 0 3 2 11000302
+0 0 0 0 0 0 4 2 11000402
+0 0 0 0 0 0 5 2 11000502
+0 0 0 0 0 0 6 2 11000602
+0 0 0 0 0 0 7 2 11000702
+0 0 0 0 0 0 8 2 11000802
+0 0 0 0 0 0 9 2 11000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 11000102
+1 0 0 0 0 0 1 2 11000102
+1 0 0 0 0 0 2 2 11000202
+1 0 0 0 0 0 3 2 11000302
+1 0 0 0 0 0 4 2 11000402
+1 0 0 0 0 0 5 2 11000502
+1 0 0 0 0 0 6 2 11000602
+1 0 0 0 0 0 7 2 11000702
+1 0 0 0 0 0 8 2 11000802
+1 0 0 0 0 0 9 2 11000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/vx.zl b/CarpetAttic/Cart3dTest/test/octant/vx.zl
new file mode 100644
index 000000000..f66fcd330
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/vx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 11000100
+0 0 0 0 0 0 1 1 11000101
+0 0 0 0 0 0 1 2 11000102
+0 0 0 0 0 0 1 3 11000103
+0 0 0 0 0 0 1 4 11000104
+0 0 0 0 0 0 1 5 11000105
+0 0 0 0 0 0 1 6 11000106
+0 0 0 0 0 0 1 7 11000107
+0 0 0 0 0 0 1 8 11000108
+0 0 0 0 0 0 1 9 11000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 11000103
+1 0 0 0 0 0 1 1 11000102
+1 0 0 0 0 0 1 2 11000102
+1 0 0 0 0 0 1 3 11000103
+1 0 0 0 0 0 1 4 11000104
+1 0 0 0 0 0 1 5 11000105
+1 0 0 0 0 0 1 6 11000106
+1 0 0 0 0 0 1 7 11000107
+1 0 0 0 0 0 1 8 11000108
+1 0 0 0 0 0 1 9 11000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/vy.xl b/CarpetAttic/Cart3dTest/test/octant/vy.xl
new file mode 100644
index 000000000..dcfd7a6da
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/vy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 12000102
+0 0 0 0 0 1 1 2 12010102
+0 0 0 0 0 2 1 2 12020102
+0 0 0 0 0 3 1 2 12030102
+0 0 0 0 0 4 1 2 12040102
+0 0 0 0 0 5 1 2 12050102
+0 0 0 0 0 6 1 2 12060102
+0 0 0 0 0 7 1 2 12070102
+0 0 0 0 0 8 1 2 12080102
+0 0 0 0 0 9 1 2 12090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 12000102
+1 0 0 0 0 1 1 2 12010102
+1 0 0 0 0 2 1 2 12020102
+1 0 0 0 0 3 1 2 12030102
+1 0 0 0 0 4 1 2 12040102
+1 0 0 0 0 5 1 2 12050102
+1 0 0 0 0 6 1 2 12060102
+1 0 0 0 0 7 1 2 12070102
+1 0 0 0 0 8 1 2 12080102
+1 0 0 0 0 9 1 2 12090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/vy.yl b/CarpetAttic/Cart3dTest/test/octant/vy.yl
new file mode 100644
index 000000000..bb1ccbd5a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/vy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 12000002
+0 0 0 0 0 0 1 2 12000102
+0 0 0 0 0 0 2 2 12000202
+0 0 0 0 0 0 3 2 12000302
+0 0 0 0 0 0 4 2 12000402
+0 0 0 0 0 0 5 2 12000502
+0 0 0 0 0 0 6 2 12000602
+0 0 0 0 0 0 7 2 12000702
+0 0 0 0 0 0 8 2 12000802
+0 0 0 0 0 0 9 2 12000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 -12000102
+1 0 0 0 0 0 1 2 12000102
+1 0 0 0 0 0 2 2 12000202
+1 0 0 0 0 0 3 2 12000302
+1 0 0 0 0 0 4 2 12000402
+1 0 0 0 0 0 5 2 12000502
+1 0 0 0 0 0 6 2 12000602
+1 0 0 0 0 0 7 2 12000702
+1 0 0 0 0 0 8 2 12000802
+1 0 0 0 0 0 9 2 12000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/vy.zl b/CarpetAttic/Cart3dTest/test/octant/vy.zl
new file mode 100644
index 000000000..2d110fc34
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/vy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 12000100
+0 0 0 0 0 0 1 1 12000101
+0 0 0 0 0 0 1 2 12000102
+0 0 0 0 0 0 1 3 12000103
+0 0 0 0 0 0 1 4 12000104
+0 0 0 0 0 0 1 5 12000105
+0 0 0 0 0 0 1 6 12000106
+0 0 0 0 0 0 1 7 12000107
+0 0 0 0 0 0 1 8 12000108
+0 0 0 0 0 0 1 9 12000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 12000103
+1 0 0 0 0 0 1 1 12000102
+1 0 0 0 0 0 1 2 12000102
+1 0 0 0 0 0 1 3 12000103
+1 0 0 0 0 0 1 4 12000104
+1 0 0 0 0 0 1 5 12000105
+1 0 0 0 0 0 1 6 12000106
+1 0 0 0 0 0 1 7 12000107
+1 0 0 0 0 0 1 8 12000108
+1 0 0 0 0 0 1 9 12000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/vz.xl b/CarpetAttic/Cart3dTest/test/octant/vz.xl
new file mode 100644
index 000000000..a8969fcb1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/vz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 2 13000102
+0 0 0 0 0 1 1 2 13010102
+0 0 0 0 0 2 1 2 13020102
+0 0 0 0 0 3 1 2 13030102
+0 0 0 0 0 4 1 2 13040102
+0 0 0 0 0 5 1 2 13050102
+0 0 0 0 0 6 1 2 13060102
+0 0 0 0 0 7 1 2 13070102
+0 0 0 0 0 8 1 2 13080102
+0 0 0 0 0 9 1 2 13090102
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 2 13000102
+1 0 0 0 0 1 1 2 13010102
+1 0 0 0 0 2 1 2 13020102
+1 0 0 0 0 3 1 2 13030102
+1 0 0 0 0 4 1 2 13040102
+1 0 0 0 0 5 1 2 13050102
+1 0 0 0 0 6 1 2 13060102
+1 0 0 0 0 7 1 2 13070102
+1 0 0 0 0 8 1 2 13080102
+1 0 0 0 0 9 1 2 13090102
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/vz.yl b/CarpetAttic/Cart3dTest/test/octant/vz.yl
new file mode 100644
index 000000000..a973b578f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/vz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 2 13000002
+0 0 0 0 0 0 1 2 13000102
+0 0 0 0 0 0 2 2 13000202
+0 0 0 0 0 0 3 2 13000302
+0 0 0 0 0 0 4 2 13000402
+0 0 0 0 0 0 5 2 13000502
+0 0 0 0 0 0 6 2 13000602
+0 0 0 0 0 0 7 2 13000702
+0 0 0 0 0 0 8 2 13000802
+0 0 0 0 0 0 9 2 13000902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 2 13000102
+1 0 0 0 0 0 1 2 13000102
+1 0 0 0 0 0 2 2 13000202
+1 0 0 0 0 0 3 2 13000302
+1 0 0 0 0 0 4 2 13000402
+1 0 0 0 0 0 5 2 13000502
+1 0 0 0 0 0 6 2 13000602
+1 0 0 0 0 0 7 2 13000702
+1 0 0 0 0 0 8 2 13000802
+1 0 0 0 0 0 9 2 13000902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/octant/vz.zl b/CarpetAttic/Cart3dTest/test/octant/vz.zl
new file mode 100644
index 000000000..c3f47d0b8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/octant/vz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 13000100
+0 0 0 0 0 0 1 1 13000101
+0 0 0 0 0 0 1 2 13000102
+0 0 0 0 0 0 1 3 13000103
+0 0 0 0 0 0 1 4 13000104
+0 0 0 0 0 0 1 5 13000105
+0 0 0 0 0 0 1 6 13000106
+0 0 0 0 0 0 1 7 13000107
+0 0 0 0 0 0 1 8 13000108
+0 0 0 0 0 0 1 9 13000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -13000103
+1 0 0 0 0 0 1 1 -13000102
+1 0 0 0 0 0 1 2 13000102
+1 0 0 0 0 0 1 3 13000103
+1 0 0 0 0 0 1 4 13000104
+1 0 0 0 0 0 1 5 13000105
+1 0 0 0 0 0 1 6 13000106
+1 0 0 0 0 0 1 7 13000107
+1 0 0 0 0 0 1 8 13000108
+1 0 0 0 0 0 1 9 13000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x.log b/CarpetAttic/Cart3dTest/test/periodic-x.log
new file mode 100644
index 000000000..8b02f3bdb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x.log
@@ -0,0 +1,81 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x.par b/CarpetAttic/Cart3dTest/test/periodic-x.par
new file mode 100644
index 000000000..3fcc3474a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x.par
@@ -0,0 +1,17 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/periodic-x.par,v 1.4 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 1
+
+grid::type = "byspacing"
+grid::mode_x = "periodic"
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "periodic-x"
+IOASCII::out1D_vars = "grid::coordinates Cart3dTest::quantities"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/ax.xl b/CarpetAttic/Cart3dTest/test/periodic-x/ax.xl
new file mode 100644
index 000000000..a6dd976ff
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/ax.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax x (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 31000505
+0 0 0 0 0 1 5 5 31010505
+0 0 0 0 0 2 5 5 31020505
+0 0 0 0 0 3 5 5 31030505
+0 0 0 0 0 4 5 5 31040505
+0 0 0 0 0 5 5 5 31050505
+0 0 0 0 0 6 5 5 31060505
+0 0 0 0 0 7 5 5 31070505
+0 0 0 0 0 8 5 5 31080505
+0 0 0 0 0 9 5 5 31090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 31000505
+1 0 0 0 0 1 5 5 31010505
+1 0 0 0 0 2 5 5 31020505
+1 0 0 0 0 3 5 5 31030505
+1 0 0 0 0 4 5 5 31040505
+1 0 0 0 0 5 5 5 31050505
+1 0 0 0 0 6 5 5 31060505
+1 0 0 0 0 7 5 5 31070505
+1 0 0 0 0 8 5 5 31080505
+1 0 0 0 0 9 5 5 31090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/ax.yl b/CarpetAttic/Cart3dTest/test/periodic-x/ax.yl
new file mode 100644
index 000000000..230d653ff
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/ax.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax y (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 31050005
+0 0 0 0 0 5 1 5 31050105
+0 0 0 0 0 5 2 5 31050205
+0 0 0 0 0 5 3 5 31050305
+0 0 0 0 0 5 4 5 31050405
+0 0 0 0 0 5 5 5 31050505
+0 0 0 0 0 5 6 5 31050605
+0 0 0 0 0 5 7 5 31050705
+0 0 0 0 0 5 8 5 31050805
+0 0 0 0 0 5 9 5 31050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 31050005
+1 0 0 0 0 5 1 5 31050105
+1 0 0 0 0 5 2 5 31050205
+1 0 0 0 0 5 3 5 31050305
+1 0 0 0 0 5 4 5 31050405
+1 0 0 0 0 5 5 5 31050505
+1 0 0 0 0 5 6 5 31050605
+1 0 0 0 0 5 7 5 31050705
+1 0 0 0 0 5 8 5 31050805
+1 0 0 0 0 5 9 5 31050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/ax.zl b/CarpetAttic/Cart3dTest/test/periodic-x/ax.zl
new file mode 100644
index 000000000..d51caee5e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/ax.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax z (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 31050500
+0 0 0 0 0 5 5 1 31050501
+0 0 0 0 0 5 5 2 31050502
+0 0 0 0 0 5 5 3 31050503
+0 0 0 0 0 5 5 4 31050504
+0 0 0 0 0 5 5 5 31050505
+0 0 0 0 0 5 5 6 31050506
+0 0 0 0 0 5 5 7 31050507
+0 0 0 0 0 5 5 8 31050508
+0 0 0 0 0 5 5 9 31050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 31050500
+1 0 0 0 0 5 5 1 31050501
+1 0 0 0 0 5 5 2 31050502
+1 0 0 0 0 5 5 3 31050503
+1 0 0 0 0 5 5 4 31050504
+1 0 0 0 0 5 5 5 31050505
+1 0 0 0 0 5 5 6 31050506
+1 0 0 0 0 5 5 7 31050507
+1 0 0 0 0 5 5 8 31050508
+1 0 0 0 0 5 5 9 31050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/ay.xl b/CarpetAttic/Cart3dTest/test/periodic-x/ay.xl
new file mode 100644
index 000000000..d98eb4ea0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/ay.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay x (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 32000505
+0 0 0 0 0 1 5 5 32010505
+0 0 0 0 0 2 5 5 32020505
+0 0 0 0 0 3 5 5 32030505
+0 0 0 0 0 4 5 5 32040505
+0 0 0 0 0 5 5 5 32050505
+0 0 0 0 0 6 5 5 32060505
+0 0 0 0 0 7 5 5 32070505
+0 0 0 0 0 8 5 5 32080505
+0 0 0 0 0 9 5 5 32090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 32000505
+1 0 0 0 0 1 5 5 32010505
+1 0 0 0 0 2 5 5 32020505
+1 0 0 0 0 3 5 5 32030505
+1 0 0 0 0 4 5 5 32040505
+1 0 0 0 0 5 5 5 32050505
+1 0 0 0 0 6 5 5 32060505
+1 0 0 0 0 7 5 5 32070505
+1 0 0 0 0 8 5 5 32080505
+1 0 0 0 0 9 5 5 32090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/ay.yl b/CarpetAttic/Cart3dTest/test/periodic-x/ay.yl
new file mode 100644
index 000000000..544d74dd3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/ay.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay y (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 32050005
+0 0 0 0 0 5 1 5 32050105
+0 0 0 0 0 5 2 5 32050205
+0 0 0 0 0 5 3 5 32050305
+0 0 0 0 0 5 4 5 32050405
+0 0 0 0 0 5 5 5 32050505
+0 0 0 0 0 5 6 5 32050605
+0 0 0 0 0 5 7 5 32050705
+0 0 0 0 0 5 8 5 32050805
+0 0 0 0 0 5 9 5 32050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 32050005
+1 0 0 0 0 5 1 5 32050105
+1 0 0 0 0 5 2 5 32050205
+1 0 0 0 0 5 3 5 32050305
+1 0 0 0 0 5 4 5 32050405
+1 0 0 0 0 5 5 5 32050505
+1 0 0 0 0 5 6 5 32050605
+1 0 0 0 0 5 7 5 32050705
+1 0 0 0 0 5 8 5 32050805
+1 0 0 0 0 5 9 5 32050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/ay.zl b/CarpetAttic/Cart3dTest/test/periodic-x/ay.zl
new file mode 100644
index 000000000..5625bfb61
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/ay.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay z (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 32050500
+0 0 0 0 0 5 5 1 32050501
+0 0 0 0 0 5 5 2 32050502
+0 0 0 0 0 5 5 3 32050503
+0 0 0 0 0 5 5 4 32050504
+0 0 0 0 0 5 5 5 32050505
+0 0 0 0 0 5 5 6 32050506
+0 0 0 0 0 5 5 7 32050507
+0 0 0 0 0 5 5 8 32050508
+0 0 0 0 0 5 5 9 32050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 32050500
+1 0 0 0 0 5 5 1 32050501
+1 0 0 0 0 5 5 2 32050502
+1 0 0 0 0 5 5 3 32050503
+1 0 0 0 0 5 5 4 32050504
+1 0 0 0 0 5 5 5 32050505
+1 0 0 0 0 5 5 6 32050506
+1 0 0 0 0 5 5 7 32050507
+1 0 0 0 0 5 5 8 32050508
+1 0 0 0 0 5 5 9 32050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/az.xl b/CarpetAttic/Cart3dTest/test/periodic-x/az.xl
new file mode 100644
index 000000000..9c2733464
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/az.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::az x (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 33000505
+0 0 0 0 0 1 5 5 33010505
+0 0 0 0 0 2 5 5 33020505
+0 0 0 0 0 3 5 5 33030505
+0 0 0 0 0 4 5 5 33040505
+0 0 0 0 0 5 5 5 33050505
+0 0 0 0 0 6 5 5 33060505
+0 0 0 0 0 7 5 5 33070505
+0 0 0 0 0 8 5 5 33080505
+0 0 0 0 0 9 5 5 33090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 33000505
+1 0 0 0 0 1 5 5 33010505
+1 0 0 0 0 2 5 5 33020505
+1 0 0 0 0 3 5 5 33030505
+1 0 0 0 0 4 5 5 33040505
+1 0 0 0 0 5 5 5 33050505
+1 0 0 0 0 6 5 5 33060505
+1 0 0 0 0 7 5 5 33070505
+1 0 0 0 0 8 5 5 33080505
+1 0 0 0 0 9 5 5 33090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/az.yl b/CarpetAttic/Cart3dTest/test/periodic-x/az.yl
new file mode 100644
index 000000000..d6681d1c1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/az.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::az y (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 33050005
+0 0 0 0 0 5 1 5 33050105
+0 0 0 0 0 5 2 5 33050205
+0 0 0 0 0 5 3 5 33050305
+0 0 0 0 0 5 4 5 33050405
+0 0 0 0 0 5 5 5 33050505
+0 0 0 0 0 5 6 5 33050605
+0 0 0 0 0 5 7 5 33050705
+0 0 0 0 0 5 8 5 33050805
+0 0 0 0 0 5 9 5 33050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 33050005
+1 0 0 0 0 5 1 5 33050105
+1 0 0 0 0 5 2 5 33050205
+1 0 0 0 0 5 3 5 33050305
+1 0 0 0 0 5 4 5 33050405
+1 0 0 0 0 5 5 5 33050505
+1 0 0 0 0 5 6 5 33050605
+1 0 0 0 0 5 7 5 33050705
+1 0 0 0 0 5 8 5 33050805
+1 0 0 0 0 5 9 5 33050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/az.zl b/CarpetAttic/Cart3dTest/test/periodic-x/az.zl
new file mode 100644
index 000000000..5c265cf14
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/az.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::az z (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 33050500
+0 0 0 0 0 5 5 1 33050501
+0 0 0 0 0 5 5 2 33050502
+0 0 0 0 0 5 5 3 33050503
+0 0 0 0 0 5 5 4 33050504
+0 0 0 0 0 5 5 5 33050505
+0 0 0 0 0 5 5 6 33050506
+0 0 0 0 0 5 5 7 33050507
+0 0 0 0 0 5 5 8 33050508
+0 0 0 0 0 5 5 9 33050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 33050500
+1 0 0 0 0 5 5 1 33050501
+1 0 0 0 0 5 5 2 33050502
+1 0 0 0 0 5 5 3 33050503
+1 0 0 0 0 5 5 4 33050504
+1 0 0 0 0 5 5 5 33050505
+1 0 0 0 0 5 5 6 33050506
+1 0 0 0 0 5 5 7 33050507
+1 0 0 0 0 5 5 8 33050508
+1 0 0 0 0 5 5 9 33050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_x.xl
new file mode 100644
index 000000000..22e840206
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_x.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 -1.35
+0 0 0 0 0 1 5 5 -1.05
+0 0 0 0 0 2 5 5 -0.75
+0 0 0 0 0 3 5 5 -0.45
+0 0 0 0 0 4 5 5 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.45
+0 0 0 0 0 7 5 5 0.75
+0 0 0 0 0 8 5 5 1.05
+0 0 0 0 0 9 5 5 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 -1.35
+1 0 0 0 0 1 5 5 -1.05
+1 0 0 0 0 2 5 5 -0.75
+1 0 0 0 0 3 5 5 -0.45
+1 0 0 0 0 4 5 5 -0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 6 5 5 0.45
+1 0 0 0 0 7 5 5 0.75
+1 0 0 0 0 8 5 5 1.05
+1 0 0 0 0 9 5 5 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_x.yl
new file mode 100644
index 000000000..592815c82
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_x.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 2 5 0.15
+0 0 0 0 0 5 3 5 0.15
+0 0 0 0 0 5 4 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.15
+0 0 0 0 0 5 7 5 0.15
+0 0 0 0 0 5 8 5 0.15
+0 0 0 0 0 5 9 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 5 2 5 0.15
+1 0 0 0 0 5 3 5 0.15
+1 0 0 0 0 5 4 5 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 6 5 0.15
+1 0 0 0 0 5 7 5 0.15
+1 0 0 0 0 5 8 5 0.15
+1 0 0 0 0 5 9 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_x.zl
new file mode 100644
index 000000000..1f894853b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_x.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.15
+0 0 0 0 0 5 5 1 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 5 3 0.15
+0 0 0 0 0 5 5 4 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.15
+0 0 0 0 0 5 5 7 0.15
+0 0 0 0 0 5 5 8 0.15
+0 0 0 0 0 5 5 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 0.15
+1 0 0 0 0 5 5 1 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 5 3 0.15
+1 0 0 0 0 5 5 4 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 5 6 0.15
+1 0 0 0 0 5 5 7 0.15
+1 0 0 0 0 5 5 8 0.15
+1 0 0 0 0 5 5 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_y.xl
new file mode 100644
index 000000000..8ee8190c4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_y.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 1 5 5 0.15
+0 0 0 0 0 2 5 5 0.15
+0 0 0 0 0 3 5 5 0.15
+0 0 0 0 0 4 5 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.15
+0 0 0 0 0 7 5 5 0.15
+0 0 0 0 0 8 5 5 0.15
+0 0 0 0 0 9 5 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 1 5 5 0.15
+1 0 0 0 0 2 5 5 0.15
+1 0 0 0 0 3 5 5 0.15
+1 0 0 0 0 4 5 5 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 6 5 5 0.15
+1 0 0 0 0 7 5 5 0.15
+1 0 0 0 0 8 5 5 0.15
+1 0 0 0 0 9 5 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_y.yl
new file mode 100644
index 000000000..aec69999e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_y.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 -1.35
+0 0 0 0 0 5 1 5 -1.05
+0 0 0 0 0 5 2 5 -0.75
+0 0 0 0 0 5 3 5 -0.45
+0 0 0 0 0 5 4 5 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.45
+0 0 0 0 0 5 7 5 0.75
+0 0 0 0 0 5 8 5 1.05
+0 0 0 0 0 5 9 5 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 -1.35
+1 0 0 0 0 5 1 5 -1.05
+1 0 0 0 0 5 2 5 -0.75
+1 0 0 0 0 5 3 5 -0.45
+1 0 0 0 0 5 4 5 -0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 6 5 0.45
+1 0 0 0 0 5 7 5 0.75
+1 0 0 0 0 5 8 5 1.05
+1 0 0 0 0 5 9 5 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_y.zl
new file mode 100644
index 000000000..f32f3acb9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_y.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.15
+0 0 0 0 0 5 5 1 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 5 3 0.15
+0 0 0 0 0 5 5 4 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.15
+0 0 0 0 0 5 5 7 0.15
+0 0 0 0 0 5 5 8 0.15
+0 0 0 0 0 5 5 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 0.15
+1 0 0 0 0 5 5 1 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 5 3 0.15
+1 0 0 0 0 5 5 4 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 5 6 0.15
+1 0 0 0 0 5 5 7 0.15
+1 0 0 0 0 5 5 8 0.15
+1 0 0 0 0 5 5 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_z.xl
new file mode 100644
index 000000000..400b19f39
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_z.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 1 5 5 0.15
+0 0 0 0 0 2 5 5 0.15
+0 0 0 0 0 3 5 5 0.15
+0 0 0 0 0 4 5 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.15
+0 0 0 0 0 7 5 5 0.15
+0 0 0 0 0 8 5 5 0.15
+0 0 0 0 0 9 5 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 1 5 5 0.15
+1 0 0 0 0 2 5 5 0.15
+1 0 0 0 0 3 5 5 0.15
+1 0 0 0 0 4 5 5 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 6 5 5 0.15
+1 0 0 0 0 7 5 5 0.15
+1 0 0 0 0 8 5 5 0.15
+1 0 0 0 0 9 5 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_z.yl
new file mode 100644
index 000000000..0373176c5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_z.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 2 5 0.15
+0 0 0 0 0 5 3 5 0.15
+0 0 0 0 0 5 4 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.15
+0 0 0 0 0 5 7 5 0.15
+0 0 0 0 0 5 8 5 0.15
+0 0 0 0 0 5 9 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 5 2 5 0.15
+1 0 0 0 0 5 3 5 0.15
+1 0 0 0 0 5 4 5 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 6 5 0.15
+1 0 0 0 0 5 7 5 0.15
+1 0 0 0 0 5 8 5 0.15
+1 0 0 0 0 5 9 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_z.zl
new file mode 100644
index 000000000..6fd48c20b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/cart3d_z.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 -1.35
+0 0 0 0 0 5 5 1 -1.05
+0 0 0 0 0 5 5 2 -0.75
+0 0 0 0 0 5 5 3 -0.45
+0 0 0 0 0 5 5 4 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.45
+0 0 0 0 0 5 5 7 0.75
+0 0 0 0 0 5 5 8 1.05
+0 0 0 0 0 5 5 9 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -1.35
+1 0 0 0 0 5 5 1 -1.05
+1 0 0 0 0 5 5 2 -0.75
+1 0 0 0 0 5 5 3 -0.45
+1 0 0 0 0 5 5 4 -0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 5 6 0.45
+1 0 0 0 0 5 5 7 0.75
+1 0 0 0 0 5 5 8 1.05
+1 0 0 0 0 5 5 9 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fxx.xl b/CarpetAttic/Cart3dTest/test/periodic-x/fxx.xl
new file mode 100644
index 000000000..f4e4dc8fd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fxx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx x (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 41000505
+0 0 0 0 0 1 5 5 41010505
+0 0 0 0 0 2 5 5 41020505
+0 0 0 0 0 3 5 5 41030505
+0 0 0 0 0 4 5 5 41040505
+0 0 0 0 0 5 5 5 41050505
+0 0 0 0 0 6 5 5 41060505
+0 0 0 0 0 7 5 5 41070505
+0 0 0 0 0 8 5 5 41080505
+0 0 0 0 0 9 5 5 41090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 41000505
+1 0 0 0 0 1 5 5 41010505
+1 0 0 0 0 2 5 5 41020505
+1 0 0 0 0 3 5 5 41030505
+1 0 0 0 0 4 5 5 41040505
+1 0 0 0 0 5 5 5 41050505
+1 0 0 0 0 6 5 5 41060505
+1 0 0 0 0 7 5 5 41070505
+1 0 0 0 0 8 5 5 41080505
+1 0 0 0 0 9 5 5 41090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fxx.yl b/CarpetAttic/Cart3dTest/test/periodic-x/fxx.yl
new file mode 100644
index 000000000..153dc4e30
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fxx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx y (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 41050005
+0 0 0 0 0 5 1 5 41050105
+0 0 0 0 0 5 2 5 41050205
+0 0 0 0 0 5 3 5 41050305
+0 0 0 0 0 5 4 5 41050405
+0 0 0 0 0 5 5 5 41050505
+0 0 0 0 0 5 6 5 41050605
+0 0 0 0 0 5 7 5 41050705
+0 0 0 0 0 5 8 5 41050805
+0 0 0 0 0 5 9 5 41050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 41050005
+1 0 0 0 0 5 1 5 41050105
+1 0 0 0 0 5 2 5 41050205
+1 0 0 0 0 5 3 5 41050305
+1 0 0 0 0 5 4 5 41050405
+1 0 0 0 0 5 5 5 41050505
+1 0 0 0 0 5 6 5 41050605
+1 0 0 0 0 5 7 5 41050705
+1 0 0 0 0 5 8 5 41050805
+1 0 0 0 0 5 9 5 41050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fxx.zl b/CarpetAttic/Cart3dTest/test/periodic-x/fxx.zl
new file mode 100644
index 000000000..d096693b5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fxx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx z (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 41050500
+0 0 0 0 0 5 5 1 41050501
+0 0 0 0 0 5 5 2 41050502
+0 0 0 0 0 5 5 3 41050503
+0 0 0 0 0 5 5 4 41050504
+0 0 0 0 0 5 5 5 41050505
+0 0 0 0 0 5 5 6 41050506
+0 0 0 0 0 5 5 7 41050507
+0 0 0 0 0 5 5 8 41050508
+0 0 0 0 0 5 5 9 41050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 41050500
+1 0 0 0 0 5 5 1 41050501
+1 0 0 0 0 5 5 2 41050502
+1 0 0 0 0 5 5 3 41050503
+1 0 0 0 0 5 5 4 41050504
+1 0 0 0 0 5 5 5 41050505
+1 0 0 0 0 5 5 6 41050506
+1 0 0 0 0 5 5 7 41050507
+1 0 0 0 0 5 5 8 41050508
+1 0 0 0 0 5 5 9 41050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fxy.xl b/CarpetAttic/Cart3dTest/test/periodic-x/fxy.xl
new file mode 100644
index 000000000..bec381f14
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fxy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy x (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 42000505
+0 0 0 0 0 1 5 5 42010505
+0 0 0 0 0 2 5 5 42020505
+0 0 0 0 0 3 5 5 42030505
+0 0 0 0 0 4 5 5 42040505
+0 0 0 0 0 5 5 5 42050505
+0 0 0 0 0 6 5 5 42060505
+0 0 0 0 0 7 5 5 42070505
+0 0 0 0 0 8 5 5 42080505
+0 0 0 0 0 9 5 5 42090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 42000505
+1 0 0 0 0 1 5 5 42010505
+1 0 0 0 0 2 5 5 42020505
+1 0 0 0 0 3 5 5 42030505
+1 0 0 0 0 4 5 5 42040505
+1 0 0 0 0 5 5 5 42050505
+1 0 0 0 0 6 5 5 42060505
+1 0 0 0 0 7 5 5 42070505
+1 0 0 0 0 8 5 5 42080505
+1 0 0 0 0 9 5 5 42090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fxy.yl b/CarpetAttic/Cart3dTest/test/periodic-x/fxy.yl
new file mode 100644
index 000000000..4a0d7a418
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fxy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy y (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 42050005
+0 0 0 0 0 5 1 5 42050105
+0 0 0 0 0 5 2 5 42050205
+0 0 0 0 0 5 3 5 42050305
+0 0 0 0 0 5 4 5 42050405
+0 0 0 0 0 5 5 5 42050505
+0 0 0 0 0 5 6 5 42050605
+0 0 0 0 0 5 7 5 42050705
+0 0 0 0 0 5 8 5 42050805
+0 0 0 0 0 5 9 5 42050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 42050005
+1 0 0 0 0 5 1 5 42050105
+1 0 0 0 0 5 2 5 42050205
+1 0 0 0 0 5 3 5 42050305
+1 0 0 0 0 5 4 5 42050405
+1 0 0 0 0 5 5 5 42050505
+1 0 0 0 0 5 6 5 42050605
+1 0 0 0 0 5 7 5 42050705
+1 0 0 0 0 5 8 5 42050805
+1 0 0 0 0 5 9 5 42050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fxy.zl b/CarpetAttic/Cart3dTest/test/periodic-x/fxy.zl
new file mode 100644
index 000000000..b7ed6a093
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fxy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy z (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 42050500
+0 0 0 0 0 5 5 1 42050501
+0 0 0 0 0 5 5 2 42050502
+0 0 0 0 0 5 5 3 42050503
+0 0 0 0 0 5 5 4 42050504
+0 0 0 0 0 5 5 5 42050505
+0 0 0 0 0 5 5 6 42050506
+0 0 0 0 0 5 5 7 42050507
+0 0 0 0 0 5 5 8 42050508
+0 0 0 0 0 5 5 9 42050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 42050500
+1 0 0 0 0 5 5 1 42050501
+1 0 0 0 0 5 5 2 42050502
+1 0 0 0 0 5 5 3 42050503
+1 0 0 0 0 5 5 4 42050504
+1 0 0 0 0 5 5 5 42050505
+1 0 0 0 0 5 5 6 42050506
+1 0 0 0 0 5 5 7 42050507
+1 0 0 0 0 5 5 8 42050508
+1 0 0 0 0 5 5 9 42050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fxz.xl b/CarpetAttic/Cart3dTest/test/periodic-x/fxz.xl
new file mode 100644
index 000000000..1a33e9082
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fxz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz x (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 43000505
+0 0 0 0 0 1 5 5 43010505
+0 0 0 0 0 2 5 5 43020505
+0 0 0 0 0 3 5 5 43030505
+0 0 0 0 0 4 5 5 43040505
+0 0 0 0 0 5 5 5 43050505
+0 0 0 0 0 6 5 5 43060505
+0 0 0 0 0 7 5 5 43070505
+0 0 0 0 0 8 5 5 43080505
+0 0 0 0 0 9 5 5 43090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 43000505
+1 0 0 0 0 1 5 5 43010505
+1 0 0 0 0 2 5 5 43020505
+1 0 0 0 0 3 5 5 43030505
+1 0 0 0 0 4 5 5 43040505
+1 0 0 0 0 5 5 5 43050505
+1 0 0 0 0 6 5 5 43060505
+1 0 0 0 0 7 5 5 43070505
+1 0 0 0 0 8 5 5 43080505
+1 0 0 0 0 9 5 5 43090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fxz.yl b/CarpetAttic/Cart3dTest/test/periodic-x/fxz.yl
new file mode 100644
index 000000000..866f8e838
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fxz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz y (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 43050005
+0 0 0 0 0 5 1 5 43050105
+0 0 0 0 0 5 2 5 43050205
+0 0 0 0 0 5 3 5 43050305
+0 0 0 0 0 5 4 5 43050405
+0 0 0 0 0 5 5 5 43050505
+0 0 0 0 0 5 6 5 43050605
+0 0 0 0 0 5 7 5 43050705
+0 0 0 0 0 5 8 5 43050805
+0 0 0 0 0 5 9 5 43050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 43050005
+1 0 0 0 0 5 1 5 43050105
+1 0 0 0 0 5 2 5 43050205
+1 0 0 0 0 5 3 5 43050305
+1 0 0 0 0 5 4 5 43050405
+1 0 0 0 0 5 5 5 43050505
+1 0 0 0 0 5 6 5 43050605
+1 0 0 0 0 5 7 5 43050705
+1 0 0 0 0 5 8 5 43050805
+1 0 0 0 0 5 9 5 43050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fxz.zl b/CarpetAttic/Cart3dTest/test/periodic-x/fxz.zl
new file mode 100644
index 000000000..a6716651f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fxz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz z (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 43050500
+0 0 0 0 0 5 5 1 43050501
+0 0 0 0 0 5 5 2 43050502
+0 0 0 0 0 5 5 3 43050503
+0 0 0 0 0 5 5 4 43050504
+0 0 0 0 0 5 5 5 43050505
+0 0 0 0 0 5 5 6 43050506
+0 0 0 0 0 5 5 7 43050507
+0 0 0 0 0 5 5 8 43050508
+0 0 0 0 0 5 5 9 43050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 43050500
+1 0 0 0 0 5 5 1 43050501
+1 0 0 0 0 5 5 2 43050502
+1 0 0 0 0 5 5 3 43050503
+1 0 0 0 0 5 5 4 43050504
+1 0 0 0 0 5 5 5 43050505
+1 0 0 0 0 5 5 6 43050506
+1 0 0 0 0 5 5 7 43050507
+1 0 0 0 0 5 5 8 43050508
+1 0 0 0 0 5 5 9 43050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fyx.xl b/CarpetAttic/Cart3dTest/test/periodic-x/fyx.xl
new file mode 100644
index 000000000..cae9cbe2d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fyx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx x (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 44000505
+0 0 0 0 0 1 5 5 44010505
+0 0 0 0 0 2 5 5 44020505
+0 0 0 0 0 3 5 5 44030505
+0 0 0 0 0 4 5 5 44040505
+0 0 0 0 0 5 5 5 44050505
+0 0 0 0 0 6 5 5 44060505
+0 0 0 0 0 7 5 5 44070505
+0 0 0 0 0 8 5 5 44080505
+0 0 0 0 0 9 5 5 44090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 44000505
+1 0 0 0 0 1 5 5 44010505
+1 0 0 0 0 2 5 5 44020505
+1 0 0 0 0 3 5 5 44030505
+1 0 0 0 0 4 5 5 44040505
+1 0 0 0 0 5 5 5 44050505
+1 0 0 0 0 6 5 5 44060505
+1 0 0 0 0 7 5 5 44070505
+1 0 0 0 0 8 5 5 44080505
+1 0 0 0 0 9 5 5 44090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fyx.yl b/CarpetAttic/Cart3dTest/test/periodic-x/fyx.yl
new file mode 100644
index 000000000..5f874165c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fyx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx y (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 44050005
+0 0 0 0 0 5 1 5 44050105
+0 0 0 0 0 5 2 5 44050205
+0 0 0 0 0 5 3 5 44050305
+0 0 0 0 0 5 4 5 44050405
+0 0 0 0 0 5 5 5 44050505
+0 0 0 0 0 5 6 5 44050605
+0 0 0 0 0 5 7 5 44050705
+0 0 0 0 0 5 8 5 44050805
+0 0 0 0 0 5 9 5 44050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 44050005
+1 0 0 0 0 5 1 5 44050105
+1 0 0 0 0 5 2 5 44050205
+1 0 0 0 0 5 3 5 44050305
+1 0 0 0 0 5 4 5 44050405
+1 0 0 0 0 5 5 5 44050505
+1 0 0 0 0 5 6 5 44050605
+1 0 0 0 0 5 7 5 44050705
+1 0 0 0 0 5 8 5 44050805
+1 0 0 0 0 5 9 5 44050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fyx.zl b/CarpetAttic/Cart3dTest/test/periodic-x/fyx.zl
new file mode 100644
index 000000000..6ee8b911f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fyx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx z (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 44050500
+0 0 0 0 0 5 5 1 44050501
+0 0 0 0 0 5 5 2 44050502
+0 0 0 0 0 5 5 3 44050503
+0 0 0 0 0 5 5 4 44050504
+0 0 0 0 0 5 5 5 44050505
+0 0 0 0 0 5 5 6 44050506
+0 0 0 0 0 5 5 7 44050507
+0 0 0 0 0 5 5 8 44050508
+0 0 0 0 0 5 5 9 44050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 44050500
+1 0 0 0 0 5 5 1 44050501
+1 0 0 0 0 5 5 2 44050502
+1 0 0 0 0 5 5 3 44050503
+1 0 0 0 0 5 5 4 44050504
+1 0 0 0 0 5 5 5 44050505
+1 0 0 0 0 5 5 6 44050506
+1 0 0 0 0 5 5 7 44050507
+1 0 0 0 0 5 5 8 44050508
+1 0 0 0 0 5 5 9 44050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fyy.xl b/CarpetAttic/Cart3dTest/test/periodic-x/fyy.xl
new file mode 100644
index 000000000..5008c5b15
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy x (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 45000505
+0 0 0 0 0 1 5 5 45010505
+0 0 0 0 0 2 5 5 45020505
+0 0 0 0 0 3 5 5 45030505
+0 0 0 0 0 4 5 5 45040505
+0 0 0 0 0 5 5 5 45050505
+0 0 0 0 0 6 5 5 45060505
+0 0 0 0 0 7 5 5 45070505
+0 0 0 0 0 8 5 5 45080505
+0 0 0 0 0 9 5 5 45090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 45000505
+1 0 0 0 0 1 5 5 45010505
+1 0 0 0 0 2 5 5 45020505
+1 0 0 0 0 3 5 5 45030505
+1 0 0 0 0 4 5 5 45040505
+1 0 0 0 0 5 5 5 45050505
+1 0 0 0 0 6 5 5 45060505
+1 0 0 0 0 7 5 5 45070505
+1 0 0 0 0 8 5 5 45080505
+1 0 0 0 0 9 5 5 45090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fyy.yl b/CarpetAttic/Cart3dTest/test/periodic-x/fyy.yl
new file mode 100644
index 000000000..8396d09b1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy y (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 45050005
+0 0 0 0 0 5 1 5 45050105
+0 0 0 0 0 5 2 5 45050205
+0 0 0 0 0 5 3 5 45050305
+0 0 0 0 0 5 4 5 45050405
+0 0 0 0 0 5 5 5 45050505
+0 0 0 0 0 5 6 5 45050605
+0 0 0 0 0 5 7 5 45050705
+0 0 0 0 0 5 8 5 45050805
+0 0 0 0 0 5 9 5 45050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 45050005
+1 0 0 0 0 5 1 5 45050105
+1 0 0 0 0 5 2 5 45050205
+1 0 0 0 0 5 3 5 45050305
+1 0 0 0 0 5 4 5 45050405
+1 0 0 0 0 5 5 5 45050505
+1 0 0 0 0 5 6 5 45050605
+1 0 0 0 0 5 7 5 45050705
+1 0 0 0 0 5 8 5 45050805
+1 0 0 0 0 5 9 5 45050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fyy.zl b/CarpetAttic/Cart3dTest/test/periodic-x/fyy.zl
new file mode 100644
index 000000000..864474fbb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy z (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 45050500
+0 0 0 0 0 5 5 1 45050501
+0 0 0 0 0 5 5 2 45050502
+0 0 0 0 0 5 5 3 45050503
+0 0 0 0 0 5 5 4 45050504
+0 0 0 0 0 5 5 5 45050505
+0 0 0 0 0 5 5 6 45050506
+0 0 0 0 0 5 5 7 45050507
+0 0 0 0 0 5 5 8 45050508
+0 0 0 0 0 5 5 9 45050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 45050500
+1 0 0 0 0 5 5 1 45050501
+1 0 0 0 0 5 5 2 45050502
+1 0 0 0 0 5 5 3 45050503
+1 0 0 0 0 5 5 4 45050504
+1 0 0 0 0 5 5 5 45050505
+1 0 0 0 0 5 5 6 45050506
+1 0 0 0 0 5 5 7 45050507
+1 0 0 0 0 5 5 8 45050508
+1 0 0 0 0 5 5 9 45050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fyz.xl b/CarpetAttic/Cart3dTest/test/periodic-x/fyz.xl
new file mode 100644
index 000000000..d98ca2a15
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz x (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 46000505
+0 0 0 0 0 1 5 5 46010505
+0 0 0 0 0 2 5 5 46020505
+0 0 0 0 0 3 5 5 46030505
+0 0 0 0 0 4 5 5 46040505
+0 0 0 0 0 5 5 5 46050505
+0 0 0 0 0 6 5 5 46060505
+0 0 0 0 0 7 5 5 46070505
+0 0 0 0 0 8 5 5 46080505
+0 0 0 0 0 9 5 5 46090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 46000505
+1 0 0 0 0 1 5 5 46010505
+1 0 0 0 0 2 5 5 46020505
+1 0 0 0 0 3 5 5 46030505
+1 0 0 0 0 4 5 5 46040505
+1 0 0 0 0 5 5 5 46050505
+1 0 0 0 0 6 5 5 46060505
+1 0 0 0 0 7 5 5 46070505
+1 0 0 0 0 8 5 5 46080505
+1 0 0 0 0 9 5 5 46090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fyz.yl b/CarpetAttic/Cart3dTest/test/periodic-x/fyz.yl
new file mode 100644
index 000000000..028f1efd3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz y (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 46050005
+0 0 0 0 0 5 1 5 46050105
+0 0 0 0 0 5 2 5 46050205
+0 0 0 0 0 5 3 5 46050305
+0 0 0 0 0 5 4 5 46050405
+0 0 0 0 0 5 5 5 46050505
+0 0 0 0 0 5 6 5 46050605
+0 0 0 0 0 5 7 5 46050705
+0 0 0 0 0 5 8 5 46050805
+0 0 0 0 0 5 9 5 46050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 46050005
+1 0 0 0 0 5 1 5 46050105
+1 0 0 0 0 5 2 5 46050205
+1 0 0 0 0 5 3 5 46050305
+1 0 0 0 0 5 4 5 46050405
+1 0 0 0 0 5 5 5 46050505
+1 0 0 0 0 5 6 5 46050605
+1 0 0 0 0 5 7 5 46050705
+1 0 0 0 0 5 8 5 46050805
+1 0 0 0 0 5 9 5 46050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fyz.zl b/CarpetAttic/Cart3dTest/test/periodic-x/fyz.zl
new file mode 100644
index 000000000..ac2902605
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz z (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 46050500
+0 0 0 0 0 5 5 1 46050501
+0 0 0 0 0 5 5 2 46050502
+0 0 0 0 0 5 5 3 46050503
+0 0 0 0 0 5 5 4 46050504
+0 0 0 0 0 5 5 5 46050505
+0 0 0 0 0 5 5 6 46050506
+0 0 0 0 0 5 5 7 46050507
+0 0 0 0 0 5 5 8 46050508
+0 0 0 0 0 5 5 9 46050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 46050500
+1 0 0 0 0 5 5 1 46050501
+1 0 0 0 0 5 5 2 46050502
+1 0 0 0 0 5 5 3 46050503
+1 0 0 0 0 5 5 4 46050504
+1 0 0 0 0 5 5 5 46050505
+1 0 0 0 0 5 5 6 46050506
+1 0 0 0 0 5 5 7 46050507
+1 0 0 0 0 5 5 8 46050508
+1 0 0 0 0 5 5 9 46050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fzx.xl b/CarpetAttic/Cart3dTest/test/periodic-x/fzx.xl
new file mode 100644
index 000000000..b13ff1471
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fzx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx x (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 47000505
+0 0 0 0 0 1 5 5 47010505
+0 0 0 0 0 2 5 5 47020505
+0 0 0 0 0 3 5 5 47030505
+0 0 0 0 0 4 5 5 47040505
+0 0 0 0 0 5 5 5 47050505
+0 0 0 0 0 6 5 5 47060505
+0 0 0 0 0 7 5 5 47070505
+0 0 0 0 0 8 5 5 47080505
+0 0 0 0 0 9 5 5 47090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 47000505
+1 0 0 0 0 1 5 5 47010505
+1 0 0 0 0 2 5 5 47020505
+1 0 0 0 0 3 5 5 47030505
+1 0 0 0 0 4 5 5 47040505
+1 0 0 0 0 5 5 5 47050505
+1 0 0 0 0 6 5 5 47060505
+1 0 0 0 0 7 5 5 47070505
+1 0 0 0 0 8 5 5 47080505
+1 0 0 0 0 9 5 5 47090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fzx.yl b/CarpetAttic/Cart3dTest/test/periodic-x/fzx.yl
new file mode 100644
index 000000000..734fc768c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fzx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx y (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 47050005
+0 0 0 0 0 5 1 5 47050105
+0 0 0 0 0 5 2 5 47050205
+0 0 0 0 0 5 3 5 47050305
+0 0 0 0 0 5 4 5 47050405
+0 0 0 0 0 5 5 5 47050505
+0 0 0 0 0 5 6 5 47050605
+0 0 0 0 0 5 7 5 47050705
+0 0 0 0 0 5 8 5 47050805
+0 0 0 0 0 5 9 5 47050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 47050005
+1 0 0 0 0 5 1 5 47050105
+1 0 0 0 0 5 2 5 47050205
+1 0 0 0 0 5 3 5 47050305
+1 0 0 0 0 5 4 5 47050405
+1 0 0 0 0 5 5 5 47050505
+1 0 0 0 0 5 6 5 47050605
+1 0 0 0 0 5 7 5 47050705
+1 0 0 0 0 5 8 5 47050805
+1 0 0 0 0 5 9 5 47050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fzx.zl b/CarpetAttic/Cart3dTest/test/periodic-x/fzx.zl
new file mode 100644
index 000000000..bf3324e04
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fzx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx z (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 47050500
+0 0 0 0 0 5 5 1 47050501
+0 0 0 0 0 5 5 2 47050502
+0 0 0 0 0 5 5 3 47050503
+0 0 0 0 0 5 5 4 47050504
+0 0 0 0 0 5 5 5 47050505
+0 0 0 0 0 5 5 6 47050506
+0 0 0 0 0 5 5 7 47050507
+0 0 0 0 0 5 5 8 47050508
+0 0 0 0 0 5 5 9 47050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 47050500
+1 0 0 0 0 5 5 1 47050501
+1 0 0 0 0 5 5 2 47050502
+1 0 0 0 0 5 5 3 47050503
+1 0 0 0 0 5 5 4 47050504
+1 0 0 0 0 5 5 5 47050505
+1 0 0 0 0 5 5 6 47050506
+1 0 0 0 0 5 5 7 47050507
+1 0 0 0 0 5 5 8 47050508
+1 0 0 0 0 5 5 9 47050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fzy.xl b/CarpetAttic/Cart3dTest/test/periodic-x/fzy.xl
new file mode 100644
index 000000000..d8b2ffa66
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fzy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy x (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 48000505
+0 0 0 0 0 1 5 5 48010505
+0 0 0 0 0 2 5 5 48020505
+0 0 0 0 0 3 5 5 48030505
+0 0 0 0 0 4 5 5 48040505
+0 0 0 0 0 5 5 5 48050505
+0 0 0 0 0 6 5 5 48060505
+0 0 0 0 0 7 5 5 48070505
+0 0 0 0 0 8 5 5 48080505
+0 0 0 0 0 9 5 5 48090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 48000505
+1 0 0 0 0 1 5 5 48010505
+1 0 0 0 0 2 5 5 48020505
+1 0 0 0 0 3 5 5 48030505
+1 0 0 0 0 4 5 5 48040505
+1 0 0 0 0 5 5 5 48050505
+1 0 0 0 0 6 5 5 48060505
+1 0 0 0 0 7 5 5 48070505
+1 0 0 0 0 8 5 5 48080505
+1 0 0 0 0 9 5 5 48090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fzy.yl b/CarpetAttic/Cart3dTest/test/periodic-x/fzy.yl
new file mode 100644
index 000000000..bde3eb782
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fzy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy y (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 48050005
+0 0 0 0 0 5 1 5 48050105
+0 0 0 0 0 5 2 5 48050205
+0 0 0 0 0 5 3 5 48050305
+0 0 0 0 0 5 4 5 48050405
+0 0 0 0 0 5 5 5 48050505
+0 0 0 0 0 5 6 5 48050605
+0 0 0 0 0 5 7 5 48050705
+0 0 0 0 0 5 8 5 48050805
+0 0 0 0 0 5 9 5 48050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 48050005
+1 0 0 0 0 5 1 5 48050105
+1 0 0 0 0 5 2 5 48050205
+1 0 0 0 0 5 3 5 48050305
+1 0 0 0 0 5 4 5 48050405
+1 0 0 0 0 5 5 5 48050505
+1 0 0 0 0 5 6 5 48050605
+1 0 0 0 0 5 7 5 48050705
+1 0 0 0 0 5 8 5 48050805
+1 0 0 0 0 5 9 5 48050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fzy.zl b/CarpetAttic/Cart3dTest/test/periodic-x/fzy.zl
new file mode 100644
index 000000000..f624242dc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fzy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy z (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 48050500
+0 0 0 0 0 5 5 1 48050501
+0 0 0 0 0 5 5 2 48050502
+0 0 0 0 0 5 5 3 48050503
+0 0 0 0 0 5 5 4 48050504
+0 0 0 0 0 5 5 5 48050505
+0 0 0 0 0 5 5 6 48050506
+0 0 0 0 0 5 5 7 48050507
+0 0 0 0 0 5 5 8 48050508
+0 0 0 0 0 5 5 9 48050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 48050500
+1 0 0 0 0 5 5 1 48050501
+1 0 0 0 0 5 5 2 48050502
+1 0 0 0 0 5 5 3 48050503
+1 0 0 0 0 5 5 4 48050504
+1 0 0 0 0 5 5 5 48050505
+1 0 0 0 0 5 5 6 48050506
+1 0 0 0 0 5 5 7 48050507
+1 0 0 0 0 5 5 8 48050508
+1 0 0 0 0 5 5 9 48050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fzz.xl b/CarpetAttic/Cart3dTest/test/periodic-x/fzz.xl
new file mode 100644
index 000000000..9c8f5cbf0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz x (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 49000505
+0 0 0 0 0 1 5 5 49010505
+0 0 0 0 0 2 5 5 49020505
+0 0 0 0 0 3 5 5 49030505
+0 0 0 0 0 4 5 5 49040505
+0 0 0 0 0 5 5 5 49050505
+0 0 0 0 0 6 5 5 49060505
+0 0 0 0 0 7 5 5 49070505
+0 0 0 0 0 8 5 5 49080505
+0 0 0 0 0 9 5 5 49090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 49000505
+1 0 0 0 0 1 5 5 49010505
+1 0 0 0 0 2 5 5 49020505
+1 0 0 0 0 3 5 5 49030505
+1 0 0 0 0 4 5 5 49040505
+1 0 0 0 0 5 5 5 49050505
+1 0 0 0 0 6 5 5 49060505
+1 0 0 0 0 7 5 5 49070505
+1 0 0 0 0 8 5 5 49080505
+1 0 0 0 0 9 5 5 49090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fzz.yl b/CarpetAttic/Cart3dTest/test/periodic-x/fzz.yl
new file mode 100644
index 000000000..a5f45247e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz y (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 49050005
+0 0 0 0 0 5 1 5 49050105
+0 0 0 0 0 5 2 5 49050205
+0 0 0 0 0 5 3 5 49050305
+0 0 0 0 0 5 4 5 49050405
+0 0 0 0 0 5 5 5 49050505
+0 0 0 0 0 5 6 5 49050605
+0 0 0 0 0 5 7 5 49050705
+0 0 0 0 0 5 8 5 49050805
+0 0 0 0 0 5 9 5 49050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 49050005
+1 0 0 0 0 5 1 5 49050105
+1 0 0 0 0 5 2 5 49050205
+1 0 0 0 0 5 3 5 49050305
+1 0 0 0 0 5 4 5 49050405
+1 0 0 0 0 5 5 5 49050505
+1 0 0 0 0 5 6 5 49050605
+1 0 0 0 0 5 7 5 49050705
+1 0 0 0 0 5 8 5 49050805
+1 0 0 0 0 5 9 5 49050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/fzz.zl b/CarpetAttic/Cart3dTest/test/periodic-x/fzz.zl
new file mode 100644
index 000000000..364c0d582
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/fzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz z (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 49050500
+0 0 0 0 0 5 5 1 49050501
+0 0 0 0 0 5 5 2 49050502
+0 0 0 0 0 5 5 3 49050503
+0 0 0 0 0 5 5 4 49050504
+0 0 0 0 0 5 5 5 49050505
+0 0 0 0 0 5 5 6 49050506
+0 0 0 0 0 5 5 7 49050507
+0 0 0 0 0 5 5 8 49050508
+0 0 0 0 0 5 5 9 49050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 49050500
+1 0 0 0 0 5 5 1 49050501
+1 0 0 0 0 5 5 2 49050502
+1 0 0 0 0 5 5 3 49050503
+1 0 0 0 0 5 5 4 49050504
+1 0 0 0 0 5 5 5 49050505
+1 0 0 0 0 5 5 6 49050506
+1 0 0 0 0 5 5 7 49050507
+1 0 0 0 0 5 5 8 49050508
+1 0 0 0 0 5 5 9 49050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/s.xl b/CarpetAttic/Cart3dTest/test/periodic-x/s.xl
new file mode 100644
index 000000000..14e43aa3e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/s.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::s x (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 1000505
+0 0 0 0 0 1 5 5 1010505
+0 0 0 0 0 2 5 5 1020505
+0 0 0 0 0 3 5 5 1030505
+0 0 0 0 0 4 5 5 1040505
+0 0 0 0 0 5 5 5 1050505
+0 0 0 0 0 6 5 5 1060505
+0 0 0 0 0 7 5 5 1070505
+0 0 0 0 0 8 5 5 1080505
+0 0 0 0 0 9 5 5 1090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 1000505
+1 0 0 0 0 1 5 5 1010505
+1 0 0 0 0 2 5 5 1020505
+1 0 0 0 0 3 5 5 1030505
+1 0 0 0 0 4 5 5 1040505
+1 0 0 0 0 5 5 5 1050505
+1 0 0 0 0 6 5 5 1060505
+1 0 0 0 0 7 5 5 1070505
+1 0 0 0 0 8 5 5 1080505
+1 0 0 0 0 9 5 5 1090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/s.yl b/CarpetAttic/Cart3dTest/test/periodic-x/s.yl
new file mode 100644
index 000000000..a082c376e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/s.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::s y (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 1050005
+0 0 0 0 0 5 1 5 1050105
+0 0 0 0 0 5 2 5 1050205
+0 0 0 0 0 5 3 5 1050305
+0 0 0 0 0 5 4 5 1050405
+0 0 0 0 0 5 5 5 1050505
+0 0 0 0 0 5 6 5 1050605
+0 0 0 0 0 5 7 5 1050705
+0 0 0 0 0 5 8 5 1050805
+0 0 0 0 0 5 9 5 1050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 1050005
+1 0 0 0 0 5 1 5 1050105
+1 0 0 0 0 5 2 5 1050205
+1 0 0 0 0 5 3 5 1050305
+1 0 0 0 0 5 4 5 1050405
+1 0 0 0 0 5 5 5 1050505
+1 0 0 0 0 5 6 5 1050605
+1 0 0 0 0 5 7 5 1050705
+1 0 0 0 0 5 8 5 1050805
+1 0 0 0 0 5 9 5 1050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/s.zl b/CarpetAttic/Cart3dTest/test/periodic-x/s.zl
new file mode 100644
index 000000000..45ce1cd7b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/s.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::s z (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 1050500
+0 0 0 0 0 5 5 1 1050501
+0 0 0 0 0 5 5 2 1050502
+0 0 0 0 0 5 5 3 1050503
+0 0 0 0 0 5 5 4 1050504
+0 0 0 0 0 5 5 5 1050505
+0 0 0 0 0 5 5 6 1050506
+0 0 0 0 0 5 5 7 1050507
+0 0 0 0 0 5 5 8 1050508
+0 0 0 0 0 5 5 9 1050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 1050500
+1 0 0 0 0 5 5 1 1050501
+1 0 0 0 0 5 5 2 1050502
+1 0 0 0 0 5 5 3 1050503
+1 0 0 0 0 5 5 4 1050504
+1 0 0 0 0 5 5 5 1050505
+1 0 0 0 0 5 5 6 1050506
+1 0 0 0 0 5 5 7 1050507
+1 0 0 0 0 5 5 8 1050508
+1 0 0 0 0 5 5 9 1050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/periodic-x/spher3d_r.xl
new file mode 100644
index 000000000..b331c2bf4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/spher3d_r.xl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 1.36656503687164
+0 0 0 0 0 1 5 5 1.07121426428143
+0 0 0 0 0 2 5 5 0.779422863405995
+0 0 0 0 0 3 5 5 0.49749371855331
+0 0 0 0 0 4 5 5 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135332
+0 0 0 0 0 6 5 5 0.49749371855331
+0 0 0 0 0 7 5 5 0.779422863405995
+0 0 0 0 0 8 5 5 1.07121426428143
+0 0 0 0 0 9 5 5 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 1.36656503687164
+1 0 0 0 0 1 5 5 1.07121426428143
+1 0 0 0 0 2 5 5 0.779422863405995
+1 0 0 0 0 3 5 5 0.49749371855331
+1 0 0 0 0 4 5 5 0.259807621135332
+1 0 0 0 0 5 5 5 0.259807621135332
+1 0 0 0 0 6 5 5 0.49749371855331
+1 0 0 0 0 7 5 5 0.779422863405995
+1 0 0 0 0 8 5 5 1.07121426428143
+1 0 0 0 0 9 5 5 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/periodic-x/spher3d_r.yl
new file mode 100644
index 000000000..8ca57fd44
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/spher3d_r.yl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 1.36656503687164
+0 0 0 0 0 5 1 5 1.07121426428143
+0 0 0 0 0 5 2 5 0.779422863405995
+0 0 0 0 0 5 3 5 0.49749371855331
+0 0 0 0 0 5 4 5 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135332
+0 0 0 0 0 5 6 5 0.49749371855331
+0 0 0 0 0 5 7 5 0.779422863405995
+0 0 0 0 0 5 8 5 1.07121426428143
+0 0 0 0 0 5 9 5 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 1.36656503687164
+1 0 0 0 0 5 1 5 1.07121426428143
+1 0 0 0 0 5 2 5 0.779422863405995
+1 0 0 0 0 5 3 5 0.49749371855331
+1 0 0 0 0 5 4 5 0.259807621135332
+1 0 0 0 0 5 5 5 0.259807621135332
+1 0 0 0 0 5 6 5 0.49749371855331
+1 0 0 0 0 5 7 5 0.779422863405995
+1 0 0 0 0 5 8 5 1.07121426428143
+1 0 0 0 0 5 9 5 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/periodic-x/spher3d_r.zl
new file mode 100644
index 000000000..677631008
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/spher3d_r.zl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 1.36656503687164
+0 0 0 0 0 5 5 1 1.07121426428143
+0 0 0 0 0 5 5 2 0.779422863405995
+0 0 0 0 0 5 5 3 0.49749371855331
+0 0 0 0 0 5 5 4 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135332
+0 0 0 0 0 5 5 6 0.49749371855331
+0 0 0 0 0 5 5 7 0.779422863405995
+0 0 0 0 0 5 5 8 1.07121426428143
+0 0 0 0 0 5 5 9 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 1.36656503687164
+1 0 0 0 0 5 5 1 1.07121426428143
+1 0 0 0 0 5 5 2 0.779422863405995
+1 0 0 0 0 5 5 3 0.49749371855331
+1 0 0 0 0 5 5 4 0.259807621135332
+1 0 0 0 0 5 5 5 0.259807621135332
+1 0 0 0 0 5 5 6 0.49749371855331
+1 0 0 0 0 5 5 7 0.779422863405995
+1 0 0 0 0 5 5 8 1.07121426428143
+1 0 0 0 0 5 5 9 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/txx.xl b/CarpetAttic/Cart3dTest/test/periodic-x/txx.xl
new file mode 100644
index 000000000..ec49b7513
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/txx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx x (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 21000505
+0 0 0 0 0 1 5 5 21010505
+0 0 0 0 0 2 5 5 21020505
+0 0 0 0 0 3 5 5 21030505
+0 0 0 0 0 4 5 5 21040505
+0 0 0 0 0 5 5 5 21050505
+0 0 0 0 0 6 5 5 21060505
+0 0 0 0 0 7 5 5 21070505
+0 0 0 0 0 8 5 5 21080505
+0 0 0 0 0 9 5 5 21090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 21000505
+1 0 0 0 0 1 5 5 21010505
+1 0 0 0 0 2 5 5 21020505
+1 0 0 0 0 3 5 5 21030505
+1 0 0 0 0 4 5 5 21040505
+1 0 0 0 0 5 5 5 21050505
+1 0 0 0 0 6 5 5 21060505
+1 0 0 0 0 7 5 5 21070505
+1 0 0 0 0 8 5 5 21080505
+1 0 0 0 0 9 5 5 21090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/txx.yl b/CarpetAttic/Cart3dTest/test/periodic-x/txx.yl
new file mode 100644
index 000000000..9e35e0b71
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/txx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx y (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 21050005
+0 0 0 0 0 5 1 5 21050105
+0 0 0 0 0 5 2 5 21050205
+0 0 0 0 0 5 3 5 21050305
+0 0 0 0 0 5 4 5 21050405
+0 0 0 0 0 5 5 5 21050505
+0 0 0 0 0 5 6 5 21050605
+0 0 0 0 0 5 7 5 21050705
+0 0 0 0 0 5 8 5 21050805
+0 0 0 0 0 5 9 5 21050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 21050005
+1 0 0 0 0 5 1 5 21050105
+1 0 0 0 0 5 2 5 21050205
+1 0 0 0 0 5 3 5 21050305
+1 0 0 0 0 5 4 5 21050405
+1 0 0 0 0 5 5 5 21050505
+1 0 0 0 0 5 6 5 21050605
+1 0 0 0 0 5 7 5 21050705
+1 0 0 0 0 5 8 5 21050805
+1 0 0 0 0 5 9 5 21050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/txx.zl b/CarpetAttic/Cart3dTest/test/periodic-x/txx.zl
new file mode 100644
index 000000000..53ce67a80
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/txx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx z (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 21050500
+0 0 0 0 0 5 5 1 21050501
+0 0 0 0 0 5 5 2 21050502
+0 0 0 0 0 5 5 3 21050503
+0 0 0 0 0 5 5 4 21050504
+0 0 0 0 0 5 5 5 21050505
+0 0 0 0 0 5 5 6 21050506
+0 0 0 0 0 5 5 7 21050507
+0 0 0 0 0 5 5 8 21050508
+0 0 0 0 0 5 5 9 21050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 21050500
+1 0 0 0 0 5 5 1 21050501
+1 0 0 0 0 5 5 2 21050502
+1 0 0 0 0 5 5 3 21050503
+1 0 0 0 0 5 5 4 21050504
+1 0 0 0 0 5 5 5 21050505
+1 0 0 0 0 5 5 6 21050506
+1 0 0 0 0 5 5 7 21050507
+1 0 0 0 0 5 5 8 21050508
+1 0 0 0 0 5 5 9 21050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/txy.xl b/CarpetAttic/Cart3dTest/test/periodic-x/txy.xl
new file mode 100644
index 000000000..c0a04db3d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/txy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy x (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 22000505
+0 0 0 0 0 1 5 5 22010505
+0 0 0 0 0 2 5 5 22020505
+0 0 0 0 0 3 5 5 22030505
+0 0 0 0 0 4 5 5 22040505
+0 0 0 0 0 5 5 5 22050505
+0 0 0 0 0 6 5 5 22060505
+0 0 0 0 0 7 5 5 22070505
+0 0 0 0 0 8 5 5 22080505
+0 0 0 0 0 9 5 5 22090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 22000505
+1 0 0 0 0 1 5 5 22010505
+1 0 0 0 0 2 5 5 22020505
+1 0 0 0 0 3 5 5 22030505
+1 0 0 0 0 4 5 5 22040505
+1 0 0 0 0 5 5 5 22050505
+1 0 0 0 0 6 5 5 22060505
+1 0 0 0 0 7 5 5 22070505
+1 0 0 0 0 8 5 5 22080505
+1 0 0 0 0 9 5 5 22090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/txy.yl b/CarpetAttic/Cart3dTest/test/periodic-x/txy.yl
new file mode 100644
index 000000000..676739e59
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/txy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy y (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 22050005
+0 0 0 0 0 5 1 5 22050105
+0 0 0 0 0 5 2 5 22050205
+0 0 0 0 0 5 3 5 22050305
+0 0 0 0 0 5 4 5 22050405
+0 0 0 0 0 5 5 5 22050505
+0 0 0 0 0 5 6 5 22050605
+0 0 0 0 0 5 7 5 22050705
+0 0 0 0 0 5 8 5 22050805
+0 0 0 0 0 5 9 5 22050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 22050005
+1 0 0 0 0 5 1 5 22050105
+1 0 0 0 0 5 2 5 22050205
+1 0 0 0 0 5 3 5 22050305
+1 0 0 0 0 5 4 5 22050405
+1 0 0 0 0 5 5 5 22050505
+1 0 0 0 0 5 6 5 22050605
+1 0 0 0 0 5 7 5 22050705
+1 0 0 0 0 5 8 5 22050805
+1 0 0 0 0 5 9 5 22050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/txy.zl b/CarpetAttic/Cart3dTest/test/periodic-x/txy.zl
new file mode 100644
index 000000000..1a41a546d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/txy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy z (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 22050500
+0 0 0 0 0 5 5 1 22050501
+0 0 0 0 0 5 5 2 22050502
+0 0 0 0 0 5 5 3 22050503
+0 0 0 0 0 5 5 4 22050504
+0 0 0 0 0 5 5 5 22050505
+0 0 0 0 0 5 5 6 22050506
+0 0 0 0 0 5 5 7 22050507
+0 0 0 0 0 5 5 8 22050508
+0 0 0 0 0 5 5 9 22050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 22050500
+1 0 0 0 0 5 5 1 22050501
+1 0 0 0 0 5 5 2 22050502
+1 0 0 0 0 5 5 3 22050503
+1 0 0 0 0 5 5 4 22050504
+1 0 0 0 0 5 5 5 22050505
+1 0 0 0 0 5 5 6 22050506
+1 0 0 0 0 5 5 7 22050507
+1 0 0 0 0 5 5 8 22050508
+1 0 0 0 0 5 5 9 22050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/txz.xl b/CarpetAttic/Cart3dTest/test/periodic-x/txz.xl
new file mode 100644
index 000000000..ef056f783
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/txz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz x (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 23000505
+0 0 0 0 0 1 5 5 23010505
+0 0 0 0 0 2 5 5 23020505
+0 0 0 0 0 3 5 5 23030505
+0 0 0 0 0 4 5 5 23040505
+0 0 0 0 0 5 5 5 23050505
+0 0 0 0 0 6 5 5 23060505
+0 0 0 0 0 7 5 5 23070505
+0 0 0 0 0 8 5 5 23080505
+0 0 0 0 0 9 5 5 23090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 23000505
+1 0 0 0 0 1 5 5 23010505
+1 0 0 0 0 2 5 5 23020505
+1 0 0 0 0 3 5 5 23030505
+1 0 0 0 0 4 5 5 23040505
+1 0 0 0 0 5 5 5 23050505
+1 0 0 0 0 6 5 5 23060505
+1 0 0 0 0 7 5 5 23070505
+1 0 0 0 0 8 5 5 23080505
+1 0 0 0 0 9 5 5 23090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/txz.yl b/CarpetAttic/Cart3dTest/test/periodic-x/txz.yl
new file mode 100644
index 000000000..6e249be2d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/txz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz y (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 23050005
+0 0 0 0 0 5 1 5 23050105
+0 0 0 0 0 5 2 5 23050205
+0 0 0 0 0 5 3 5 23050305
+0 0 0 0 0 5 4 5 23050405
+0 0 0 0 0 5 5 5 23050505
+0 0 0 0 0 5 6 5 23050605
+0 0 0 0 0 5 7 5 23050705
+0 0 0 0 0 5 8 5 23050805
+0 0 0 0 0 5 9 5 23050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 23050005
+1 0 0 0 0 5 1 5 23050105
+1 0 0 0 0 5 2 5 23050205
+1 0 0 0 0 5 3 5 23050305
+1 0 0 0 0 5 4 5 23050405
+1 0 0 0 0 5 5 5 23050505
+1 0 0 0 0 5 6 5 23050605
+1 0 0 0 0 5 7 5 23050705
+1 0 0 0 0 5 8 5 23050805
+1 0 0 0 0 5 9 5 23050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/txz.zl b/CarpetAttic/Cart3dTest/test/periodic-x/txz.zl
new file mode 100644
index 000000000..e64aa1884
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/txz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz z (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 23050500
+0 0 0 0 0 5 5 1 23050501
+0 0 0 0 0 5 5 2 23050502
+0 0 0 0 0 5 5 3 23050503
+0 0 0 0 0 5 5 4 23050504
+0 0 0 0 0 5 5 5 23050505
+0 0 0 0 0 5 5 6 23050506
+0 0 0 0 0 5 5 7 23050507
+0 0 0 0 0 5 5 8 23050508
+0 0 0 0 0 5 5 9 23050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 23050500
+1 0 0 0 0 5 5 1 23050501
+1 0 0 0 0 5 5 2 23050502
+1 0 0 0 0 5 5 3 23050503
+1 0 0 0 0 5 5 4 23050504
+1 0 0 0 0 5 5 5 23050505
+1 0 0 0 0 5 5 6 23050506
+1 0 0 0 0 5 5 7 23050507
+1 0 0 0 0 5 5 8 23050508
+1 0 0 0 0 5 5 9 23050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/tyy.xl b/CarpetAttic/Cart3dTest/test/periodic-x/tyy.xl
new file mode 100644
index 000000000..6a8ea71c4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/tyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy x (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 24000505
+0 0 0 0 0 1 5 5 24010505
+0 0 0 0 0 2 5 5 24020505
+0 0 0 0 0 3 5 5 24030505
+0 0 0 0 0 4 5 5 24040505
+0 0 0 0 0 5 5 5 24050505
+0 0 0 0 0 6 5 5 24060505
+0 0 0 0 0 7 5 5 24070505
+0 0 0 0 0 8 5 5 24080505
+0 0 0 0 0 9 5 5 24090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 24000505
+1 0 0 0 0 1 5 5 24010505
+1 0 0 0 0 2 5 5 24020505
+1 0 0 0 0 3 5 5 24030505
+1 0 0 0 0 4 5 5 24040505
+1 0 0 0 0 5 5 5 24050505
+1 0 0 0 0 6 5 5 24060505
+1 0 0 0 0 7 5 5 24070505
+1 0 0 0 0 8 5 5 24080505
+1 0 0 0 0 9 5 5 24090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/tyy.yl b/CarpetAttic/Cart3dTest/test/periodic-x/tyy.yl
new file mode 100644
index 000000000..e84597fa8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/tyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy y (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 24050005
+0 0 0 0 0 5 1 5 24050105
+0 0 0 0 0 5 2 5 24050205
+0 0 0 0 0 5 3 5 24050305
+0 0 0 0 0 5 4 5 24050405
+0 0 0 0 0 5 5 5 24050505
+0 0 0 0 0 5 6 5 24050605
+0 0 0 0 0 5 7 5 24050705
+0 0 0 0 0 5 8 5 24050805
+0 0 0 0 0 5 9 5 24050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 24050005
+1 0 0 0 0 5 1 5 24050105
+1 0 0 0 0 5 2 5 24050205
+1 0 0 0 0 5 3 5 24050305
+1 0 0 0 0 5 4 5 24050405
+1 0 0 0 0 5 5 5 24050505
+1 0 0 0 0 5 6 5 24050605
+1 0 0 0 0 5 7 5 24050705
+1 0 0 0 0 5 8 5 24050805
+1 0 0 0 0 5 9 5 24050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/tyy.zl b/CarpetAttic/Cart3dTest/test/periodic-x/tyy.zl
new file mode 100644
index 000000000..76876ffa8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/tyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy z (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 24050500
+0 0 0 0 0 5 5 1 24050501
+0 0 0 0 0 5 5 2 24050502
+0 0 0 0 0 5 5 3 24050503
+0 0 0 0 0 5 5 4 24050504
+0 0 0 0 0 5 5 5 24050505
+0 0 0 0 0 5 5 6 24050506
+0 0 0 0 0 5 5 7 24050507
+0 0 0 0 0 5 5 8 24050508
+0 0 0 0 0 5 5 9 24050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 24050500
+1 0 0 0 0 5 5 1 24050501
+1 0 0 0 0 5 5 2 24050502
+1 0 0 0 0 5 5 3 24050503
+1 0 0 0 0 5 5 4 24050504
+1 0 0 0 0 5 5 5 24050505
+1 0 0 0 0 5 5 6 24050506
+1 0 0 0 0 5 5 7 24050507
+1 0 0 0 0 5 5 8 24050508
+1 0 0 0 0 5 5 9 24050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/tyz.xl b/CarpetAttic/Cart3dTest/test/periodic-x/tyz.xl
new file mode 100644
index 000000000..011e5ce29
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/tyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz x (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 25000505
+0 0 0 0 0 1 5 5 25010505
+0 0 0 0 0 2 5 5 25020505
+0 0 0 0 0 3 5 5 25030505
+0 0 0 0 0 4 5 5 25040505
+0 0 0 0 0 5 5 5 25050505
+0 0 0 0 0 6 5 5 25060505
+0 0 0 0 0 7 5 5 25070505
+0 0 0 0 0 8 5 5 25080505
+0 0 0 0 0 9 5 5 25090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 25000505
+1 0 0 0 0 1 5 5 25010505
+1 0 0 0 0 2 5 5 25020505
+1 0 0 0 0 3 5 5 25030505
+1 0 0 0 0 4 5 5 25040505
+1 0 0 0 0 5 5 5 25050505
+1 0 0 0 0 6 5 5 25060505
+1 0 0 0 0 7 5 5 25070505
+1 0 0 0 0 8 5 5 25080505
+1 0 0 0 0 9 5 5 25090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/tyz.yl b/CarpetAttic/Cart3dTest/test/periodic-x/tyz.yl
new file mode 100644
index 000000000..68ca06705
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/tyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz y (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 25050005
+0 0 0 0 0 5 1 5 25050105
+0 0 0 0 0 5 2 5 25050205
+0 0 0 0 0 5 3 5 25050305
+0 0 0 0 0 5 4 5 25050405
+0 0 0 0 0 5 5 5 25050505
+0 0 0 0 0 5 6 5 25050605
+0 0 0 0 0 5 7 5 25050705
+0 0 0 0 0 5 8 5 25050805
+0 0 0 0 0 5 9 5 25050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 25050005
+1 0 0 0 0 5 1 5 25050105
+1 0 0 0 0 5 2 5 25050205
+1 0 0 0 0 5 3 5 25050305
+1 0 0 0 0 5 4 5 25050405
+1 0 0 0 0 5 5 5 25050505
+1 0 0 0 0 5 6 5 25050605
+1 0 0 0 0 5 7 5 25050705
+1 0 0 0 0 5 8 5 25050805
+1 0 0 0 0 5 9 5 25050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/tyz.zl b/CarpetAttic/Cart3dTest/test/periodic-x/tyz.zl
new file mode 100644
index 000000000..798e9c83c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/tyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz z (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 25050500
+0 0 0 0 0 5 5 1 25050501
+0 0 0 0 0 5 5 2 25050502
+0 0 0 0 0 5 5 3 25050503
+0 0 0 0 0 5 5 4 25050504
+0 0 0 0 0 5 5 5 25050505
+0 0 0 0 0 5 5 6 25050506
+0 0 0 0 0 5 5 7 25050507
+0 0 0 0 0 5 5 8 25050508
+0 0 0 0 0 5 5 9 25050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 25050500
+1 0 0 0 0 5 5 1 25050501
+1 0 0 0 0 5 5 2 25050502
+1 0 0 0 0 5 5 3 25050503
+1 0 0 0 0 5 5 4 25050504
+1 0 0 0 0 5 5 5 25050505
+1 0 0 0 0 5 5 6 25050506
+1 0 0 0 0 5 5 7 25050507
+1 0 0 0 0 5 5 8 25050508
+1 0 0 0 0 5 5 9 25050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/tzz.xl b/CarpetAttic/Cart3dTest/test/periodic-x/tzz.xl
new file mode 100644
index 000000000..0035c4de3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/tzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz x (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 26000505
+0 0 0 0 0 1 5 5 26010505
+0 0 0 0 0 2 5 5 26020505
+0 0 0 0 0 3 5 5 26030505
+0 0 0 0 0 4 5 5 26040505
+0 0 0 0 0 5 5 5 26050505
+0 0 0 0 0 6 5 5 26060505
+0 0 0 0 0 7 5 5 26070505
+0 0 0 0 0 8 5 5 26080505
+0 0 0 0 0 9 5 5 26090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 26000505
+1 0 0 0 0 1 5 5 26010505
+1 0 0 0 0 2 5 5 26020505
+1 0 0 0 0 3 5 5 26030505
+1 0 0 0 0 4 5 5 26040505
+1 0 0 0 0 5 5 5 26050505
+1 0 0 0 0 6 5 5 26060505
+1 0 0 0 0 7 5 5 26070505
+1 0 0 0 0 8 5 5 26080505
+1 0 0 0 0 9 5 5 26090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/tzz.yl b/CarpetAttic/Cart3dTest/test/periodic-x/tzz.yl
new file mode 100644
index 000000000..88ab8faba
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/tzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz y (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 26050005
+0 0 0 0 0 5 1 5 26050105
+0 0 0 0 0 5 2 5 26050205
+0 0 0 0 0 5 3 5 26050305
+0 0 0 0 0 5 4 5 26050405
+0 0 0 0 0 5 5 5 26050505
+0 0 0 0 0 5 6 5 26050605
+0 0 0 0 0 5 7 5 26050705
+0 0 0 0 0 5 8 5 26050805
+0 0 0 0 0 5 9 5 26050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 26050005
+1 0 0 0 0 5 1 5 26050105
+1 0 0 0 0 5 2 5 26050205
+1 0 0 0 0 5 3 5 26050305
+1 0 0 0 0 5 4 5 26050405
+1 0 0 0 0 5 5 5 26050505
+1 0 0 0 0 5 6 5 26050605
+1 0 0 0 0 5 7 5 26050705
+1 0 0 0 0 5 8 5 26050805
+1 0 0 0 0 5 9 5 26050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/tzz.zl b/CarpetAttic/Cart3dTest/test/periodic-x/tzz.zl
new file mode 100644
index 000000000..e5544b027
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/tzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz z (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 26050500
+0 0 0 0 0 5 5 1 26050501
+0 0 0 0 0 5 5 2 26050502
+0 0 0 0 0 5 5 3 26050503
+0 0 0 0 0 5 5 4 26050504
+0 0 0 0 0 5 5 5 26050505
+0 0 0 0 0 5 5 6 26050506
+0 0 0 0 0 5 5 7 26050507
+0 0 0 0 0 5 5 8 26050508
+0 0 0 0 0 5 5 9 26050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 26050500
+1 0 0 0 0 5 5 1 26050501
+1 0 0 0 0 5 5 2 26050502
+1 0 0 0 0 5 5 3 26050503
+1 0 0 0 0 5 5 4 26050504
+1 0 0 0 0 5 5 5 26050505
+1 0 0 0 0 5 5 6 26050506
+1 0 0 0 0 5 5 7 26050507
+1 0 0 0 0 5 5 8 26050508
+1 0 0 0 0 5 5 9 26050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/vx.xl b/CarpetAttic/Cart3dTest/test/periodic-x/vx.xl
new file mode 100644
index 000000000..d4dafe57f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/vx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 11000505
+0 0 0 0 0 1 5 5 11010505
+0 0 0 0 0 2 5 5 11020505
+0 0 0 0 0 3 5 5 11030505
+0 0 0 0 0 4 5 5 11040505
+0 0 0 0 0 5 5 5 11050505
+0 0 0 0 0 6 5 5 11060505
+0 0 0 0 0 7 5 5 11070505
+0 0 0 0 0 8 5 5 11080505
+0 0 0 0 0 9 5 5 11090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 11000505
+1 0 0 0 0 1 5 5 11010505
+1 0 0 0 0 2 5 5 11020505
+1 0 0 0 0 3 5 5 11030505
+1 0 0 0 0 4 5 5 11040505
+1 0 0 0 0 5 5 5 11050505
+1 0 0 0 0 6 5 5 11060505
+1 0 0 0 0 7 5 5 11070505
+1 0 0 0 0 8 5 5 11080505
+1 0 0 0 0 9 5 5 11090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/vx.yl b/CarpetAttic/Cart3dTest/test/periodic-x/vx.yl
new file mode 100644
index 000000000..198564f76
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/vx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 11050005
+0 0 0 0 0 5 1 5 11050105
+0 0 0 0 0 5 2 5 11050205
+0 0 0 0 0 5 3 5 11050305
+0 0 0 0 0 5 4 5 11050405
+0 0 0 0 0 5 5 5 11050505
+0 0 0 0 0 5 6 5 11050605
+0 0 0 0 0 5 7 5 11050705
+0 0 0 0 0 5 8 5 11050805
+0 0 0 0 0 5 9 5 11050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 11050005
+1 0 0 0 0 5 1 5 11050105
+1 0 0 0 0 5 2 5 11050205
+1 0 0 0 0 5 3 5 11050305
+1 0 0 0 0 5 4 5 11050405
+1 0 0 0 0 5 5 5 11050505
+1 0 0 0 0 5 6 5 11050605
+1 0 0 0 0 5 7 5 11050705
+1 0 0 0 0 5 8 5 11050805
+1 0 0 0 0 5 9 5 11050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/vx.zl b/CarpetAttic/Cart3dTest/test/periodic-x/vx.zl
new file mode 100644
index 000000000..24ff5a9f3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/vx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 11050500
+0 0 0 0 0 5 5 1 11050501
+0 0 0 0 0 5 5 2 11050502
+0 0 0 0 0 5 5 3 11050503
+0 0 0 0 0 5 5 4 11050504
+0 0 0 0 0 5 5 5 11050505
+0 0 0 0 0 5 5 6 11050506
+0 0 0 0 0 5 5 7 11050507
+0 0 0 0 0 5 5 8 11050508
+0 0 0 0 0 5 5 9 11050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 11050500
+1 0 0 0 0 5 5 1 11050501
+1 0 0 0 0 5 5 2 11050502
+1 0 0 0 0 5 5 3 11050503
+1 0 0 0 0 5 5 4 11050504
+1 0 0 0 0 5 5 5 11050505
+1 0 0 0 0 5 5 6 11050506
+1 0 0 0 0 5 5 7 11050507
+1 0 0 0 0 5 5 8 11050508
+1 0 0 0 0 5 5 9 11050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/vy.xl b/CarpetAttic/Cart3dTest/test/periodic-x/vy.xl
new file mode 100644
index 000000000..487f382f4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/vy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 12000505
+0 0 0 0 0 1 5 5 12010505
+0 0 0 0 0 2 5 5 12020505
+0 0 0 0 0 3 5 5 12030505
+0 0 0 0 0 4 5 5 12040505
+0 0 0 0 0 5 5 5 12050505
+0 0 0 0 0 6 5 5 12060505
+0 0 0 0 0 7 5 5 12070505
+0 0 0 0 0 8 5 5 12080505
+0 0 0 0 0 9 5 5 12090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 12000505
+1 0 0 0 0 1 5 5 12010505
+1 0 0 0 0 2 5 5 12020505
+1 0 0 0 0 3 5 5 12030505
+1 0 0 0 0 4 5 5 12040505
+1 0 0 0 0 5 5 5 12050505
+1 0 0 0 0 6 5 5 12060505
+1 0 0 0 0 7 5 5 12070505
+1 0 0 0 0 8 5 5 12080505
+1 0 0 0 0 9 5 5 12090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/vy.yl b/CarpetAttic/Cart3dTest/test/periodic-x/vy.yl
new file mode 100644
index 000000000..47c58e06a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/vy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 12050005
+0 0 0 0 0 5 1 5 12050105
+0 0 0 0 0 5 2 5 12050205
+0 0 0 0 0 5 3 5 12050305
+0 0 0 0 0 5 4 5 12050405
+0 0 0 0 0 5 5 5 12050505
+0 0 0 0 0 5 6 5 12050605
+0 0 0 0 0 5 7 5 12050705
+0 0 0 0 0 5 8 5 12050805
+0 0 0 0 0 5 9 5 12050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 12050005
+1 0 0 0 0 5 1 5 12050105
+1 0 0 0 0 5 2 5 12050205
+1 0 0 0 0 5 3 5 12050305
+1 0 0 0 0 5 4 5 12050405
+1 0 0 0 0 5 5 5 12050505
+1 0 0 0 0 5 6 5 12050605
+1 0 0 0 0 5 7 5 12050705
+1 0 0 0 0 5 8 5 12050805
+1 0 0 0 0 5 9 5 12050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/vy.zl b/CarpetAttic/Cart3dTest/test/periodic-x/vy.zl
new file mode 100644
index 000000000..11157352b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/vy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 12050500
+0 0 0 0 0 5 5 1 12050501
+0 0 0 0 0 5 5 2 12050502
+0 0 0 0 0 5 5 3 12050503
+0 0 0 0 0 5 5 4 12050504
+0 0 0 0 0 5 5 5 12050505
+0 0 0 0 0 5 5 6 12050506
+0 0 0 0 0 5 5 7 12050507
+0 0 0 0 0 5 5 8 12050508
+0 0 0 0 0 5 5 9 12050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 12050500
+1 0 0 0 0 5 5 1 12050501
+1 0 0 0 0 5 5 2 12050502
+1 0 0 0 0 5 5 3 12050503
+1 0 0 0 0 5 5 4 12050504
+1 0 0 0 0 5 5 5 12050505
+1 0 0 0 0 5 5 6 12050506
+1 0 0 0 0 5 5 7 12050507
+1 0 0 0 0 5 5 8 12050508
+1 0 0 0 0 5 5 9 12050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/vz.xl b/CarpetAttic/Cart3dTest/test/periodic-x/vz.xl
new file mode 100644
index 000000000..7385d5001
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/vz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 13000505
+0 0 0 0 0 1 5 5 13010505
+0 0 0 0 0 2 5 5 13020505
+0 0 0 0 0 3 5 5 13030505
+0 0 0 0 0 4 5 5 13040505
+0 0 0 0 0 5 5 5 13050505
+0 0 0 0 0 6 5 5 13060505
+0 0 0 0 0 7 5 5 13070505
+0 0 0 0 0 8 5 5 13080505
+0 0 0 0 0 9 5 5 13090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 13000505
+1 0 0 0 0 1 5 5 13010505
+1 0 0 0 0 2 5 5 13020505
+1 0 0 0 0 3 5 5 13030505
+1 0 0 0 0 4 5 5 13040505
+1 0 0 0 0 5 5 5 13050505
+1 0 0 0 0 6 5 5 13060505
+1 0 0 0 0 7 5 5 13070505
+1 0 0 0 0 8 5 5 13080505
+1 0 0 0 0 9 5 5 13090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/vz.yl b/CarpetAttic/Cart3dTest/test/periodic-x/vz.yl
new file mode 100644
index 000000000..b19d78d54
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/vz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 13050005
+0 0 0 0 0 5 1 5 13050105
+0 0 0 0 0 5 2 5 13050205
+0 0 0 0 0 5 3 5 13050305
+0 0 0 0 0 5 4 5 13050405
+0 0 0 0 0 5 5 5 13050505
+0 0 0 0 0 5 6 5 13050605
+0 0 0 0 0 5 7 5 13050705
+0 0 0 0 0 5 8 5 13050805
+0 0 0 0 0 5 9 5 13050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 13050005
+1 0 0 0 0 5 1 5 13050105
+1 0 0 0 0 5 2 5 13050205
+1 0 0 0 0 5 3 5 13050305
+1 0 0 0 0 5 4 5 13050405
+1 0 0 0 0 5 5 5 13050505
+1 0 0 0 0 5 6 5 13050605
+1 0 0 0 0 5 7 5 13050705
+1 0 0 0 0 5 8 5 13050805
+1 0 0 0 0 5 9 5 13050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-x/vz.zl b/CarpetAttic/Cart3dTest/test/periodic-x/vz.zl
new file mode 100644
index 000000000..3e3212924
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-x/vz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 13050500
+0 0 0 0 0 5 5 1 13050501
+0 0 0 0 0 5 5 2 13050502
+0 0 0 0 0 5 5 3 13050503
+0 0 0 0 0 5 5 4 13050504
+0 0 0 0 0 5 5 5 13050505
+0 0 0 0 0 5 5 6 13050506
+0 0 0 0 0 5 5 7 13050507
+0 0 0 0 0 5 5 8 13050508
+0 0 0 0 0 5 5 9 13050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 13050500
+1 0 0 0 0 5 5 1 13050501
+1 0 0 0 0 5 5 2 13050502
+1 0 0 0 0 5 5 3 13050503
+1 0 0 0 0 5 5 4 13050504
+1 0 0 0 0 5 5 5 13050505
+1 0 0 0 0 5 5 6 13050506
+1 0 0 0 0 5 5 7 13050507
+1 0 0 0 0 5 5 8 13050508
+1 0 0 0 0 5 5 9 13050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y.log b/CarpetAttic/Cart3dTest/test/periodic-y.log
new file mode 100644
index 000000000..8b02f3bdb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y.log
@@ -0,0 +1,81 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y.par b/CarpetAttic/Cart3dTest/test/periodic-y.par
new file mode 100644
index 000000000..a338a6ac3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y.par
@@ -0,0 +1,17 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/periodic-y.par,v 1.4 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 1
+
+grid::type = "byspacing"
+grid::mode_y = "periodic"
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "periodic-y"
+IOASCII::out1D_vars = "grid::coordinates Cart3dTest::quantities"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/ax.xl b/CarpetAttic/Cart3dTest/test/periodic-y/ax.xl
new file mode 100644
index 000000000..a6dd976ff
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/ax.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax x (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 31000505
+0 0 0 0 0 1 5 5 31010505
+0 0 0 0 0 2 5 5 31020505
+0 0 0 0 0 3 5 5 31030505
+0 0 0 0 0 4 5 5 31040505
+0 0 0 0 0 5 5 5 31050505
+0 0 0 0 0 6 5 5 31060505
+0 0 0 0 0 7 5 5 31070505
+0 0 0 0 0 8 5 5 31080505
+0 0 0 0 0 9 5 5 31090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 31000505
+1 0 0 0 0 1 5 5 31010505
+1 0 0 0 0 2 5 5 31020505
+1 0 0 0 0 3 5 5 31030505
+1 0 0 0 0 4 5 5 31040505
+1 0 0 0 0 5 5 5 31050505
+1 0 0 0 0 6 5 5 31060505
+1 0 0 0 0 7 5 5 31070505
+1 0 0 0 0 8 5 5 31080505
+1 0 0 0 0 9 5 5 31090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/ax.yl b/CarpetAttic/Cart3dTest/test/periodic-y/ax.yl
new file mode 100644
index 000000000..dcb3173aa
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/ax.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax y (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 31050005
+0 0 0 0 0 5 1 5 31050105
+0 0 0 0 0 5 2 5 31050205
+0 0 0 0 0 5 3 5 31050305
+0 0 0 0 0 5 4 5 31050405
+0 0 0 0 0 5 5 5 31050505
+0 0 0 0 0 5 6 5 31050605
+0 0 0 0 0 5 7 5 31050705
+0 0 0 0 0 5 8 5 31050805
+0 0 0 0 0 5 9 5 31050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 31050805
+1 0 0 0 0 5 1 5 31050105
+1 0 0 0 0 5 2 5 31050205
+1 0 0 0 0 5 3 5 31050305
+1 0 0 0 0 5 4 5 31050405
+1 0 0 0 0 5 5 5 31050505
+1 0 0 0 0 5 6 5 31050605
+1 0 0 0 0 5 7 5 31050705
+1 0 0 0 0 5 8 5 31050805
+1 0 0 0 0 5 9 5 31050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/ax.zl b/CarpetAttic/Cart3dTest/test/periodic-y/ax.zl
new file mode 100644
index 000000000..d51caee5e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/ax.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax z (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 31050500
+0 0 0 0 0 5 5 1 31050501
+0 0 0 0 0 5 5 2 31050502
+0 0 0 0 0 5 5 3 31050503
+0 0 0 0 0 5 5 4 31050504
+0 0 0 0 0 5 5 5 31050505
+0 0 0 0 0 5 5 6 31050506
+0 0 0 0 0 5 5 7 31050507
+0 0 0 0 0 5 5 8 31050508
+0 0 0 0 0 5 5 9 31050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 31050500
+1 0 0 0 0 5 5 1 31050501
+1 0 0 0 0 5 5 2 31050502
+1 0 0 0 0 5 5 3 31050503
+1 0 0 0 0 5 5 4 31050504
+1 0 0 0 0 5 5 5 31050505
+1 0 0 0 0 5 5 6 31050506
+1 0 0 0 0 5 5 7 31050507
+1 0 0 0 0 5 5 8 31050508
+1 0 0 0 0 5 5 9 31050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/ay.xl b/CarpetAttic/Cart3dTest/test/periodic-y/ay.xl
new file mode 100644
index 000000000..d98eb4ea0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/ay.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay x (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 32000505
+0 0 0 0 0 1 5 5 32010505
+0 0 0 0 0 2 5 5 32020505
+0 0 0 0 0 3 5 5 32030505
+0 0 0 0 0 4 5 5 32040505
+0 0 0 0 0 5 5 5 32050505
+0 0 0 0 0 6 5 5 32060505
+0 0 0 0 0 7 5 5 32070505
+0 0 0 0 0 8 5 5 32080505
+0 0 0 0 0 9 5 5 32090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 32000505
+1 0 0 0 0 1 5 5 32010505
+1 0 0 0 0 2 5 5 32020505
+1 0 0 0 0 3 5 5 32030505
+1 0 0 0 0 4 5 5 32040505
+1 0 0 0 0 5 5 5 32050505
+1 0 0 0 0 6 5 5 32060505
+1 0 0 0 0 7 5 5 32070505
+1 0 0 0 0 8 5 5 32080505
+1 0 0 0 0 9 5 5 32090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/ay.yl b/CarpetAttic/Cart3dTest/test/periodic-y/ay.yl
new file mode 100644
index 000000000..fdd881e3f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/ay.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay y (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 32050005
+0 0 0 0 0 5 1 5 32050105
+0 0 0 0 0 5 2 5 32050205
+0 0 0 0 0 5 3 5 32050305
+0 0 0 0 0 5 4 5 32050405
+0 0 0 0 0 5 5 5 32050505
+0 0 0 0 0 5 6 5 32050605
+0 0 0 0 0 5 7 5 32050705
+0 0 0 0 0 5 8 5 32050805
+0 0 0 0 0 5 9 5 32050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 32050805
+1 0 0 0 0 5 1 5 32050105
+1 0 0 0 0 5 2 5 32050205
+1 0 0 0 0 5 3 5 32050305
+1 0 0 0 0 5 4 5 32050405
+1 0 0 0 0 5 5 5 32050505
+1 0 0 0 0 5 6 5 32050605
+1 0 0 0 0 5 7 5 32050705
+1 0 0 0 0 5 8 5 32050805
+1 0 0 0 0 5 9 5 32050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/ay.zl b/CarpetAttic/Cart3dTest/test/periodic-y/ay.zl
new file mode 100644
index 000000000..5625bfb61
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/ay.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay z (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 32050500
+0 0 0 0 0 5 5 1 32050501
+0 0 0 0 0 5 5 2 32050502
+0 0 0 0 0 5 5 3 32050503
+0 0 0 0 0 5 5 4 32050504
+0 0 0 0 0 5 5 5 32050505
+0 0 0 0 0 5 5 6 32050506
+0 0 0 0 0 5 5 7 32050507
+0 0 0 0 0 5 5 8 32050508
+0 0 0 0 0 5 5 9 32050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 32050500
+1 0 0 0 0 5 5 1 32050501
+1 0 0 0 0 5 5 2 32050502
+1 0 0 0 0 5 5 3 32050503
+1 0 0 0 0 5 5 4 32050504
+1 0 0 0 0 5 5 5 32050505
+1 0 0 0 0 5 5 6 32050506
+1 0 0 0 0 5 5 7 32050507
+1 0 0 0 0 5 5 8 32050508
+1 0 0 0 0 5 5 9 32050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/az.xl b/CarpetAttic/Cart3dTest/test/periodic-y/az.xl
new file mode 100644
index 000000000..9c2733464
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/az.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::az x (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 33000505
+0 0 0 0 0 1 5 5 33010505
+0 0 0 0 0 2 5 5 33020505
+0 0 0 0 0 3 5 5 33030505
+0 0 0 0 0 4 5 5 33040505
+0 0 0 0 0 5 5 5 33050505
+0 0 0 0 0 6 5 5 33060505
+0 0 0 0 0 7 5 5 33070505
+0 0 0 0 0 8 5 5 33080505
+0 0 0 0 0 9 5 5 33090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 33000505
+1 0 0 0 0 1 5 5 33010505
+1 0 0 0 0 2 5 5 33020505
+1 0 0 0 0 3 5 5 33030505
+1 0 0 0 0 4 5 5 33040505
+1 0 0 0 0 5 5 5 33050505
+1 0 0 0 0 6 5 5 33060505
+1 0 0 0 0 7 5 5 33070505
+1 0 0 0 0 8 5 5 33080505
+1 0 0 0 0 9 5 5 33090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/az.yl b/CarpetAttic/Cart3dTest/test/periodic-y/az.yl
new file mode 100644
index 000000000..961dd75d1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/az.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::az y (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 33050005
+0 0 0 0 0 5 1 5 33050105
+0 0 0 0 0 5 2 5 33050205
+0 0 0 0 0 5 3 5 33050305
+0 0 0 0 0 5 4 5 33050405
+0 0 0 0 0 5 5 5 33050505
+0 0 0 0 0 5 6 5 33050605
+0 0 0 0 0 5 7 5 33050705
+0 0 0 0 0 5 8 5 33050805
+0 0 0 0 0 5 9 5 33050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 33050805
+1 0 0 0 0 5 1 5 33050105
+1 0 0 0 0 5 2 5 33050205
+1 0 0 0 0 5 3 5 33050305
+1 0 0 0 0 5 4 5 33050405
+1 0 0 0 0 5 5 5 33050505
+1 0 0 0 0 5 6 5 33050605
+1 0 0 0 0 5 7 5 33050705
+1 0 0 0 0 5 8 5 33050805
+1 0 0 0 0 5 9 5 33050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/az.zl b/CarpetAttic/Cart3dTest/test/periodic-y/az.zl
new file mode 100644
index 000000000..5c265cf14
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/az.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::az z (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 33050500
+0 0 0 0 0 5 5 1 33050501
+0 0 0 0 0 5 5 2 33050502
+0 0 0 0 0 5 5 3 33050503
+0 0 0 0 0 5 5 4 33050504
+0 0 0 0 0 5 5 5 33050505
+0 0 0 0 0 5 5 6 33050506
+0 0 0 0 0 5 5 7 33050507
+0 0 0 0 0 5 5 8 33050508
+0 0 0 0 0 5 5 9 33050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 33050500
+1 0 0 0 0 5 5 1 33050501
+1 0 0 0 0 5 5 2 33050502
+1 0 0 0 0 5 5 3 33050503
+1 0 0 0 0 5 5 4 33050504
+1 0 0 0 0 5 5 5 33050505
+1 0 0 0 0 5 5 6 33050506
+1 0 0 0 0 5 5 7 33050507
+1 0 0 0 0 5 5 8 33050508
+1 0 0 0 0 5 5 9 33050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_x.xl
new file mode 100644
index 000000000..22e840206
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_x.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 -1.35
+0 0 0 0 0 1 5 5 -1.05
+0 0 0 0 0 2 5 5 -0.75
+0 0 0 0 0 3 5 5 -0.45
+0 0 0 0 0 4 5 5 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.45
+0 0 0 0 0 7 5 5 0.75
+0 0 0 0 0 8 5 5 1.05
+0 0 0 0 0 9 5 5 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 -1.35
+1 0 0 0 0 1 5 5 -1.05
+1 0 0 0 0 2 5 5 -0.75
+1 0 0 0 0 3 5 5 -0.45
+1 0 0 0 0 4 5 5 -0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 6 5 5 0.45
+1 0 0 0 0 7 5 5 0.75
+1 0 0 0 0 8 5 5 1.05
+1 0 0 0 0 9 5 5 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_x.yl
new file mode 100644
index 000000000..592815c82
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_x.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 2 5 0.15
+0 0 0 0 0 5 3 5 0.15
+0 0 0 0 0 5 4 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.15
+0 0 0 0 0 5 7 5 0.15
+0 0 0 0 0 5 8 5 0.15
+0 0 0 0 0 5 9 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 5 2 5 0.15
+1 0 0 0 0 5 3 5 0.15
+1 0 0 0 0 5 4 5 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 6 5 0.15
+1 0 0 0 0 5 7 5 0.15
+1 0 0 0 0 5 8 5 0.15
+1 0 0 0 0 5 9 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_x.zl
new file mode 100644
index 000000000..1f894853b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_x.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.15
+0 0 0 0 0 5 5 1 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 5 3 0.15
+0 0 0 0 0 5 5 4 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.15
+0 0 0 0 0 5 5 7 0.15
+0 0 0 0 0 5 5 8 0.15
+0 0 0 0 0 5 5 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 0.15
+1 0 0 0 0 5 5 1 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 5 3 0.15
+1 0 0 0 0 5 5 4 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 5 6 0.15
+1 0 0 0 0 5 5 7 0.15
+1 0 0 0 0 5 5 8 0.15
+1 0 0 0 0 5 5 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_y.xl
new file mode 100644
index 000000000..8ee8190c4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_y.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 1 5 5 0.15
+0 0 0 0 0 2 5 5 0.15
+0 0 0 0 0 3 5 5 0.15
+0 0 0 0 0 4 5 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.15
+0 0 0 0 0 7 5 5 0.15
+0 0 0 0 0 8 5 5 0.15
+0 0 0 0 0 9 5 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 1 5 5 0.15
+1 0 0 0 0 2 5 5 0.15
+1 0 0 0 0 3 5 5 0.15
+1 0 0 0 0 4 5 5 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 6 5 5 0.15
+1 0 0 0 0 7 5 5 0.15
+1 0 0 0 0 8 5 5 0.15
+1 0 0 0 0 9 5 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_y.yl
new file mode 100644
index 000000000..aec69999e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_y.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 -1.35
+0 0 0 0 0 5 1 5 -1.05
+0 0 0 0 0 5 2 5 -0.75
+0 0 0 0 0 5 3 5 -0.45
+0 0 0 0 0 5 4 5 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.45
+0 0 0 0 0 5 7 5 0.75
+0 0 0 0 0 5 8 5 1.05
+0 0 0 0 0 5 9 5 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 -1.35
+1 0 0 0 0 5 1 5 -1.05
+1 0 0 0 0 5 2 5 -0.75
+1 0 0 0 0 5 3 5 -0.45
+1 0 0 0 0 5 4 5 -0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 6 5 0.45
+1 0 0 0 0 5 7 5 0.75
+1 0 0 0 0 5 8 5 1.05
+1 0 0 0 0 5 9 5 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_y.zl
new file mode 100644
index 000000000..f32f3acb9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_y.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.15
+0 0 0 0 0 5 5 1 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 5 3 0.15
+0 0 0 0 0 5 5 4 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.15
+0 0 0 0 0 5 5 7 0.15
+0 0 0 0 0 5 5 8 0.15
+0 0 0 0 0 5 5 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 0.15
+1 0 0 0 0 5 5 1 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 5 3 0.15
+1 0 0 0 0 5 5 4 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 5 6 0.15
+1 0 0 0 0 5 5 7 0.15
+1 0 0 0 0 5 5 8 0.15
+1 0 0 0 0 5 5 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_z.xl
new file mode 100644
index 000000000..400b19f39
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_z.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 1 5 5 0.15
+0 0 0 0 0 2 5 5 0.15
+0 0 0 0 0 3 5 5 0.15
+0 0 0 0 0 4 5 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.15
+0 0 0 0 0 7 5 5 0.15
+0 0 0 0 0 8 5 5 0.15
+0 0 0 0 0 9 5 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 1 5 5 0.15
+1 0 0 0 0 2 5 5 0.15
+1 0 0 0 0 3 5 5 0.15
+1 0 0 0 0 4 5 5 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 6 5 5 0.15
+1 0 0 0 0 7 5 5 0.15
+1 0 0 0 0 8 5 5 0.15
+1 0 0 0 0 9 5 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_z.yl
new file mode 100644
index 000000000..0373176c5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_z.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 2 5 0.15
+0 0 0 0 0 5 3 5 0.15
+0 0 0 0 0 5 4 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.15
+0 0 0 0 0 5 7 5 0.15
+0 0 0 0 0 5 8 5 0.15
+0 0 0 0 0 5 9 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 5 2 5 0.15
+1 0 0 0 0 5 3 5 0.15
+1 0 0 0 0 5 4 5 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 6 5 0.15
+1 0 0 0 0 5 7 5 0.15
+1 0 0 0 0 5 8 5 0.15
+1 0 0 0 0 5 9 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_z.zl
new file mode 100644
index 000000000..6fd48c20b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/cart3d_z.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 -1.35
+0 0 0 0 0 5 5 1 -1.05
+0 0 0 0 0 5 5 2 -0.75
+0 0 0 0 0 5 5 3 -0.45
+0 0 0 0 0 5 5 4 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.45
+0 0 0 0 0 5 5 7 0.75
+0 0 0 0 0 5 5 8 1.05
+0 0 0 0 0 5 5 9 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -1.35
+1 0 0 0 0 5 5 1 -1.05
+1 0 0 0 0 5 5 2 -0.75
+1 0 0 0 0 5 5 3 -0.45
+1 0 0 0 0 5 5 4 -0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 5 6 0.45
+1 0 0 0 0 5 5 7 0.75
+1 0 0 0 0 5 5 8 1.05
+1 0 0 0 0 5 5 9 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fxx.xl b/CarpetAttic/Cart3dTest/test/periodic-y/fxx.xl
new file mode 100644
index 000000000..f4e4dc8fd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fxx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx x (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 41000505
+0 0 0 0 0 1 5 5 41010505
+0 0 0 0 0 2 5 5 41020505
+0 0 0 0 0 3 5 5 41030505
+0 0 0 0 0 4 5 5 41040505
+0 0 0 0 0 5 5 5 41050505
+0 0 0 0 0 6 5 5 41060505
+0 0 0 0 0 7 5 5 41070505
+0 0 0 0 0 8 5 5 41080505
+0 0 0 0 0 9 5 5 41090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 41000505
+1 0 0 0 0 1 5 5 41010505
+1 0 0 0 0 2 5 5 41020505
+1 0 0 0 0 3 5 5 41030505
+1 0 0 0 0 4 5 5 41040505
+1 0 0 0 0 5 5 5 41050505
+1 0 0 0 0 6 5 5 41060505
+1 0 0 0 0 7 5 5 41070505
+1 0 0 0 0 8 5 5 41080505
+1 0 0 0 0 9 5 5 41090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fxx.yl b/CarpetAttic/Cart3dTest/test/periodic-y/fxx.yl
new file mode 100644
index 000000000..635c93712
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fxx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx y (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 41050005
+0 0 0 0 0 5 1 5 41050105
+0 0 0 0 0 5 2 5 41050205
+0 0 0 0 0 5 3 5 41050305
+0 0 0 0 0 5 4 5 41050405
+0 0 0 0 0 5 5 5 41050505
+0 0 0 0 0 5 6 5 41050605
+0 0 0 0 0 5 7 5 41050705
+0 0 0 0 0 5 8 5 41050805
+0 0 0 0 0 5 9 5 41050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 41050805
+1 0 0 0 0 5 1 5 41050105
+1 0 0 0 0 5 2 5 41050205
+1 0 0 0 0 5 3 5 41050305
+1 0 0 0 0 5 4 5 41050405
+1 0 0 0 0 5 5 5 41050505
+1 0 0 0 0 5 6 5 41050605
+1 0 0 0 0 5 7 5 41050705
+1 0 0 0 0 5 8 5 41050805
+1 0 0 0 0 5 9 5 41050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fxx.zl b/CarpetAttic/Cart3dTest/test/periodic-y/fxx.zl
new file mode 100644
index 000000000..d096693b5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fxx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx z (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 41050500
+0 0 0 0 0 5 5 1 41050501
+0 0 0 0 0 5 5 2 41050502
+0 0 0 0 0 5 5 3 41050503
+0 0 0 0 0 5 5 4 41050504
+0 0 0 0 0 5 5 5 41050505
+0 0 0 0 0 5 5 6 41050506
+0 0 0 0 0 5 5 7 41050507
+0 0 0 0 0 5 5 8 41050508
+0 0 0 0 0 5 5 9 41050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 41050500
+1 0 0 0 0 5 5 1 41050501
+1 0 0 0 0 5 5 2 41050502
+1 0 0 0 0 5 5 3 41050503
+1 0 0 0 0 5 5 4 41050504
+1 0 0 0 0 5 5 5 41050505
+1 0 0 0 0 5 5 6 41050506
+1 0 0 0 0 5 5 7 41050507
+1 0 0 0 0 5 5 8 41050508
+1 0 0 0 0 5 5 9 41050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fxy.xl b/CarpetAttic/Cart3dTest/test/periodic-y/fxy.xl
new file mode 100644
index 000000000..bec381f14
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fxy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy x (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 42000505
+0 0 0 0 0 1 5 5 42010505
+0 0 0 0 0 2 5 5 42020505
+0 0 0 0 0 3 5 5 42030505
+0 0 0 0 0 4 5 5 42040505
+0 0 0 0 0 5 5 5 42050505
+0 0 0 0 0 6 5 5 42060505
+0 0 0 0 0 7 5 5 42070505
+0 0 0 0 0 8 5 5 42080505
+0 0 0 0 0 9 5 5 42090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 42000505
+1 0 0 0 0 1 5 5 42010505
+1 0 0 0 0 2 5 5 42020505
+1 0 0 0 0 3 5 5 42030505
+1 0 0 0 0 4 5 5 42040505
+1 0 0 0 0 5 5 5 42050505
+1 0 0 0 0 6 5 5 42060505
+1 0 0 0 0 7 5 5 42070505
+1 0 0 0 0 8 5 5 42080505
+1 0 0 0 0 9 5 5 42090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fxy.yl b/CarpetAttic/Cart3dTest/test/periodic-y/fxy.yl
new file mode 100644
index 000000000..961acf9dc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fxy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy y (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 42050005
+0 0 0 0 0 5 1 5 42050105
+0 0 0 0 0 5 2 5 42050205
+0 0 0 0 0 5 3 5 42050305
+0 0 0 0 0 5 4 5 42050405
+0 0 0 0 0 5 5 5 42050505
+0 0 0 0 0 5 6 5 42050605
+0 0 0 0 0 5 7 5 42050705
+0 0 0 0 0 5 8 5 42050805
+0 0 0 0 0 5 9 5 42050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 42050805
+1 0 0 0 0 5 1 5 42050105
+1 0 0 0 0 5 2 5 42050205
+1 0 0 0 0 5 3 5 42050305
+1 0 0 0 0 5 4 5 42050405
+1 0 0 0 0 5 5 5 42050505
+1 0 0 0 0 5 6 5 42050605
+1 0 0 0 0 5 7 5 42050705
+1 0 0 0 0 5 8 5 42050805
+1 0 0 0 0 5 9 5 42050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fxy.zl b/CarpetAttic/Cart3dTest/test/periodic-y/fxy.zl
new file mode 100644
index 000000000..b7ed6a093
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fxy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy z (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 42050500
+0 0 0 0 0 5 5 1 42050501
+0 0 0 0 0 5 5 2 42050502
+0 0 0 0 0 5 5 3 42050503
+0 0 0 0 0 5 5 4 42050504
+0 0 0 0 0 5 5 5 42050505
+0 0 0 0 0 5 5 6 42050506
+0 0 0 0 0 5 5 7 42050507
+0 0 0 0 0 5 5 8 42050508
+0 0 0 0 0 5 5 9 42050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 42050500
+1 0 0 0 0 5 5 1 42050501
+1 0 0 0 0 5 5 2 42050502
+1 0 0 0 0 5 5 3 42050503
+1 0 0 0 0 5 5 4 42050504
+1 0 0 0 0 5 5 5 42050505
+1 0 0 0 0 5 5 6 42050506
+1 0 0 0 0 5 5 7 42050507
+1 0 0 0 0 5 5 8 42050508
+1 0 0 0 0 5 5 9 42050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fxz.xl b/CarpetAttic/Cart3dTest/test/periodic-y/fxz.xl
new file mode 100644
index 000000000..1a33e9082
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fxz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz x (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 43000505
+0 0 0 0 0 1 5 5 43010505
+0 0 0 0 0 2 5 5 43020505
+0 0 0 0 0 3 5 5 43030505
+0 0 0 0 0 4 5 5 43040505
+0 0 0 0 0 5 5 5 43050505
+0 0 0 0 0 6 5 5 43060505
+0 0 0 0 0 7 5 5 43070505
+0 0 0 0 0 8 5 5 43080505
+0 0 0 0 0 9 5 5 43090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 43000505
+1 0 0 0 0 1 5 5 43010505
+1 0 0 0 0 2 5 5 43020505
+1 0 0 0 0 3 5 5 43030505
+1 0 0 0 0 4 5 5 43040505
+1 0 0 0 0 5 5 5 43050505
+1 0 0 0 0 6 5 5 43060505
+1 0 0 0 0 7 5 5 43070505
+1 0 0 0 0 8 5 5 43080505
+1 0 0 0 0 9 5 5 43090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fxz.yl b/CarpetAttic/Cart3dTest/test/periodic-y/fxz.yl
new file mode 100644
index 000000000..fb470154d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fxz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz y (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 43050005
+0 0 0 0 0 5 1 5 43050105
+0 0 0 0 0 5 2 5 43050205
+0 0 0 0 0 5 3 5 43050305
+0 0 0 0 0 5 4 5 43050405
+0 0 0 0 0 5 5 5 43050505
+0 0 0 0 0 5 6 5 43050605
+0 0 0 0 0 5 7 5 43050705
+0 0 0 0 0 5 8 5 43050805
+0 0 0 0 0 5 9 5 43050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 43050805
+1 0 0 0 0 5 1 5 43050105
+1 0 0 0 0 5 2 5 43050205
+1 0 0 0 0 5 3 5 43050305
+1 0 0 0 0 5 4 5 43050405
+1 0 0 0 0 5 5 5 43050505
+1 0 0 0 0 5 6 5 43050605
+1 0 0 0 0 5 7 5 43050705
+1 0 0 0 0 5 8 5 43050805
+1 0 0 0 0 5 9 5 43050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fxz.zl b/CarpetAttic/Cart3dTest/test/periodic-y/fxz.zl
new file mode 100644
index 000000000..a6716651f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fxz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz z (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 43050500
+0 0 0 0 0 5 5 1 43050501
+0 0 0 0 0 5 5 2 43050502
+0 0 0 0 0 5 5 3 43050503
+0 0 0 0 0 5 5 4 43050504
+0 0 0 0 0 5 5 5 43050505
+0 0 0 0 0 5 5 6 43050506
+0 0 0 0 0 5 5 7 43050507
+0 0 0 0 0 5 5 8 43050508
+0 0 0 0 0 5 5 9 43050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 43050500
+1 0 0 0 0 5 5 1 43050501
+1 0 0 0 0 5 5 2 43050502
+1 0 0 0 0 5 5 3 43050503
+1 0 0 0 0 5 5 4 43050504
+1 0 0 0 0 5 5 5 43050505
+1 0 0 0 0 5 5 6 43050506
+1 0 0 0 0 5 5 7 43050507
+1 0 0 0 0 5 5 8 43050508
+1 0 0 0 0 5 5 9 43050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fyx.xl b/CarpetAttic/Cart3dTest/test/periodic-y/fyx.xl
new file mode 100644
index 000000000..cae9cbe2d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fyx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx x (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 44000505
+0 0 0 0 0 1 5 5 44010505
+0 0 0 0 0 2 5 5 44020505
+0 0 0 0 0 3 5 5 44030505
+0 0 0 0 0 4 5 5 44040505
+0 0 0 0 0 5 5 5 44050505
+0 0 0 0 0 6 5 5 44060505
+0 0 0 0 0 7 5 5 44070505
+0 0 0 0 0 8 5 5 44080505
+0 0 0 0 0 9 5 5 44090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 44000505
+1 0 0 0 0 1 5 5 44010505
+1 0 0 0 0 2 5 5 44020505
+1 0 0 0 0 3 5 5 44030505
+1 0 0 0 0 4 5 5 44040505
+1 0 0 0 0 5 5 5 44050505
+1 0 0 0 0 6 5 5 44060505
+1 0 0 0 0 7 5 5 44070505
+1 0 0 0 0 8 5 5 44080505
+1 0 0 0 0 9 5 5 44090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fyx.yl b/CarpetAttic/Cart3dTest/test/periodic-y/fyx.yl
new file mode 100644
index 000000000..30724e461
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fyx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx y (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 44050005
+0 0 0 0 0 5 1 5 44050105
+0 0 0 0 0 5 2 5 44050205
+0 0 0 0 0 5 3 5 44050305
+0 0 0 0 0 5 4 5 44050405
+0 0 0 0 0 5 5 5 44050505
+0 0 0 0 0 5 6 5 44050605
+0 0 0 0 0 5 7 5 44050705
+0 0 0 0 0 5 8 5 44050805
+0 0 0 0 0 5 9 5 44050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 44050805
+1 0 0 0 0 5 1 5 44050105
+1 0 0 0 0 5 2 5 44050205
+1 0 0 0 0 5 3 5 44050305
+1 0 0 0 0 5 4 5 44050405
+1 0 0 0 0 5 5 5 44050505
+1 0 0 0 0 5 6 5 44050605
+1 0 0 0 0 5 7 5 44050705
+1 0 0 0 0 5 8 5 44050805
+1 0 0 0 0 5 9 5 44050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fyx.zl b/CarpetAttic/Cart3dTest/test/periodic-y/fyx.zl
new file mode 100644
index 000000000..6ee8b911f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fyx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx z (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 44050500
+0 0 0 0 0 5 5 1 44050501
+0 0 0 0 0 5 5 2 44050502
+0 0 0 0 0 5 5 3 44050503
+0 0 0 0 0 5 5 4 44050504
+0 0 0 0 0 5 5 5 44050505
+0 0 0 0 0 5 5 6 44050506
+0 0 0 0 0 5 5 7 44050507
+0 0 0 0 0 5 5 8 44050508
+0 0 0 0 0 5 5 9 44050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 44050500
+1 0 0 0 0 5 5 1 44050501
+1 0 0 0 0 5 5 2 44050502
+1 0 0 0 0 5 5 3 44050503
+1 0 0 0 0 5 5 4 44050504
+1 0 0 0 0 5 5 5 44050505
+1 0 0 0 0 5 5 6 44050506
+1 0 0 0 0 5 5 7 44050507
+1 0 0 0 0 5 5 8 44050508
+1 0 0 0 0 5 5 9 44050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fyy.xl b/CarpetAttic/Cart3dTest/test/periodic-y/fyy.xl
new file mode 100644
index 000000000..5008c5b15
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy x (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 45000505
+0 0 0 0 0 1 5 5 45010505
+0 0 0 0 0 2 5 5 45020505
+0 0 0 0 0 3 5 5 45030505
+0 0 0 0 0 4 5 5 45040505
+0 0 0 0 0 5 5 5 45050505
+0 0 0 0 0 6 5 5 45060505
+0 0 0 0 0 7 5 5 45070505
+0 0 0 0 0 8 5 5 45080505
+0 0 0 0 0 9 5 5 45090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 45000505
+1 0 0 0 0 1 5 5 45010505
+1 0 0 0 0 2 5 5 45020505
+1 0 0 0 0 3 5 5 45030505
+1 0 0 0 0 4 5 5 45040505
+1 0 0 0 0 5 5 5 45050505
+1 0 0 0 0 6 5 5 45060505
+1 0 0 0 0 7 5 5 45070505
+1 0 0 0 0 8 5 5 45080505
+1 0 0 0 0 9 5 5 45090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fyy.yl b/CarpetAttic/Cart3dTest/test/periodic-y/fyy.yl
new file mode 100644
index 000000000..e97298ab8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy y (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 45050005
+0 0 0 0 0 5 1 5 45050105
+0 0 0 0 0 5 2 5 45050205
+0 0 0 0 0 5 3 5 45050305
+0 0 0 0 0 5 4 5 45050405
+0 0 0 0 0 5 5 5 45050505
+0 0 0 0 0 5 6 5 45050605
+0 0 0 0 0 5 7 5 45050705
+0 0 0 0 0 5 8 5 45050805
+0 0 0 0 0 5 9 5 45050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 45050805
+1 0 0 0 0 5 1 5 45050105
+1 0 0 0 0 5 2 5 45050205
+1 0 0 0 0 5 3 5 45050305
+1 0 0 0 0 5 4 5 45050405
+1 0 0 0 0 5 5 5 45050505
+1 0 0 0 0 5 6 5 45050605
+1 0 0 0 0 5 7 5 45050705
+1 0 0 0 0 5 8 5 45050805
+1 0 0 0 0 5 9 5 45050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fyy.zl b/CarpetAttic/Cart3dTest/test/periodic-y/fyy.zl
new file mode 100644
index 000000000..864474fbb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy z (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 45050500
+0 0 0 0 0 5 5 1 45050501
+0 0 0 0 0 5 5 2 45050502
+0 0 0 0 0 5 5 3 45050503
+0 0 0 0 0 5 5 4 45050504
+0 0 0 0 0 5 5 5 45050505
+0 0 0 0 0 5 5 6 45050506
+0 0 0 0 0 5 5 7 45050507
+0 0 0 0 0 5 5 8 45050508
+0 0 0 0 0 5 5 9 45050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 45050500
+1 0 0 0 0 5 5 1 45050501
+1 0 0 0 0 5 5 2 45050502
+1 0 0 0 0 5 5 3 45050503
+1 0 0 0 0 5 5 4 45050504
+1 0 0 0 0 5 5 5 45050505
+1 0 0 0 0 5 5 6 45050506
+1 0 0 0 0 5 5 7 45050507
+1 0 0 0 0 5 5 8 45050508
+1 0 0 0 0 5 5 9 45050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fyz.xl b/CarpetAttic/Cart3dTest/test/periodic-y/fyz.xl
new file mode 100644
index 000000000..d98ca2a15
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz x (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 46000505
+0 0 0 0 0 1 5 5 46010505
+0 0 0 0 0 2 5 5 46020505
+0 0 0 0 0 3 5 5 46030505
+0 0 0 0 0 4 5 5 46040505
+0 0 0 0 0 5 5 5 46050505
+0 0 0 0 0 6 5 5 46060505
+0 0 0 0 0 7 5 5 46070505
+0 0 0 0 0 8 5 5 46080505
+0 0 0 0 0 9 5 5 46090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 46000505
+1 0 0 0 0 1 5 5 46010505
+1 0 0 0 0 2 5 5 46020505
+1 0 0 0 0 3 5 5 46030505
+1 0 0 0 0 4 5 5 46040505
+1 0 0 0 0 5 5 5 46050505
+1 0 0 0 0 6 5 5 46060505
+1 0 0 0 0 7 5 5 46070505
+1 0 0 0 0 8 5 5 46080505
+1 0 0 0 0 9 5 5 46090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fyz.yl b/CarpetAttic/Cart3dTest/test/periodic-y/fyz.yl
new file mode 100644
index 000000000..02982ec37
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz y (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 46050005
+0 0 0 0 0 5 1 5 46050105
+0 0 0 0 0 5 2 5 46050205
+0 0 0 0 0 5 3 5 46050305
+0 0 0 0 0 5 4 5 46050405
+0 0 0 0 0 5 5 5 46050505
+0 0 0 0 0 5 6 5 46050605
+0 0 0 0 0 5 7 5 46050705
+0 0 0 0 0 5 8 5 46050805
+0 0 0 0 0 5 9 5 46050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 46050805
+1 0 0 0 0 5 1 5 46050105
+1 0 0 0 0 5 2 5 46050205
+1 0 0 0 0 5 3 5 46050305
+1 0 0 0 0 5 4 5 46050405
+1 0 0 0 0 5 5 5 46050505
+1 0 0 0 0 5 6 5 46050605
+1 0 0 0 0 5 7 5 46050705
+1 0 0 0 0 5 8 5 46050805
+1 0 0 0 0 5 9 5 46050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fyz.zl b/CarpetAttic/Cart3dTest/test/periodic-y/fyz.zl
new file mode 100644
index 000000000..ac2902605
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz z (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 46050500
+0 0 0 0 0 5 5 1 46050501
+0 0 0 0 0 5 5 2 46050502
+0 0 0 0 0 5 5 3 46050503
+0 0 0 0 0 5 5 4 46050504
+0 0 0 0 0 5 5 5 46050505
+0 0 0 0 0 5 5 6 46050506
+0 0 0 0 0 5 5 7 46050507
+0 0 0 0 0 5 5 8 46050508
+0 0 0 0 0 5 5 9 46050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 46050500
+1 0 0 0 0 5 5 1 46050501
+1 0 0 0 0 5 5 2 46050502
+1 0 0 0 0 5 5 3 46050503
+1 0 0 0 0 5 5 4 46050504
+1 0 0 0 0 5 5 5 46050505
+1 0 0 0 0 5 5 6 46050506
+1 0 0 0 0 5 5 7 46050507
+1 0 0 0 0 5 5 8 46050508
+1 0 0 0 0 5 5 9 46050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fzx.xl b/CarpetAttic/Cart3dTest/test/periodic-y/fzx.xl
new file mode 100644
index 000000000..b13ff1471
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fzx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx x (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 47000505
+0 0 0 0 0 1 5 5 47010505
+0 0 0 0 0 2 5 5 47020505
+0 0 0 0 0 3 5 5 47030505
+0 0 0 0 0 4 5 5 47040505
+0 0 0 0 0 5 5 5 47050505
+0 0 0 0 0 6 5 5 47060505
+0 0 0 0 0 7 5 5 47070505
+0 0 0 0 0 8 5 5 47080505
+0 0 0 0 0 9 5 5 47090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 47000505
+1 0 0 0 0 1 5 5 47010505
+1 0 0 0 0 2 5 5 47020505
+1 0 0 0 0 3 5 5 47030505
+1 0 0 0 0 4 5 5 47040505
+1 0 0 0 0 5 5 5 47050505
+1 0 0 0 0 6 5 5 47060505
+1 0 0 0 0 7 5 5 47070505
+1 0 0 0 0 8 5 5 47080505
+1 0 0 0 0 9 5 5 47090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fzx.yl b/CarpetAttic/Cart3dTest/test/periodic-y/fzx.yl
new file mode 100644
index 000000000..a65e0d332
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fzx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx y (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 47050005
+0 0 0 0 0 5 1 5 47050105
+0 0 0 0 0 5 2 5 47050205
+0 0 0 0 0 5 3 5 47050305
+0 0 0 0 0 5 4 5 47050405
+0 0 0 0 0 5 5 5 47050505
+0 0 0 0 0 5 6 5 47050605
+0 0 0 0 0 5 7 5 47050705
+0 0 0 0 0 5 8 5 47050805
+0 0 0 0 0 5 9 5 47050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 47050805
+1 0 0 0 0 5 1 5 47050105
+1 0 0 0 0 5 2 5 47050205
+1 0 0 0 0 5 3 5 47050305
+1 0 0 0 0 5 4 5 47050405
+1 0 0 0 0 5 5 5 47050505
+1 0 0 0 0 5 6 5 47050605
+1 0 0 0 0 5 7 5 47050705
+1 0 0 0 0 5 8 5 47050805
+1 0 0 0 0 5 9 5 47050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fzx.zl b/CarpetAttic/Cart3dTest/test/periodic-y/fzx.zl
new file mode 100644
index 000000000..bf3324e04
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fzx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx z (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 47050500
+0 0 0 0 0 5 5 1 47050501
+0 0 0 0 0 5 5 2 47050502
+0 0 0 0 0 5 5 3 47050503
+0 0 0 0 0 5 5 4 47050504
+0 0 0 0 0 5 5 5 47050505
+0 0 0 0 0 5 5 6 47050506
+0 0 0 0 0 5 5 7 47050507
+0 0 0 0 0 5 5 8 47050508
+0 0 0 0 0 5 5 9 47050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 47050500
+1 0 0 0 0 5 5 1 47050501
+1 0 0 0 0 5 5 2 47050502
+1 0 0 0 0 5 5 3 47050503
+1 0 0 0 0 5 5 4 47050504
+1 0 0 0 0 5 5 5 47050505
+1 0 0 0 0 5 5 6 47050506
+1 0 0 0 0 5 5 7 47050507
+1 0 0 0 0 5 5 8 47050508
+1 0 0 0 0 5 5 9 47050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fzy.xl b/CarpetAttic/Cart3dTest/test/periodic-y/fzy.xl
new file mode 100644
index 000000000..d8b2ffa66
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fzy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy x (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 48000505
+0 0 0 0 0 1 5 5 48010505
+0 0 0 0 0 2 5 5 48020505
+0 0 0 0 0 3 5 5 48030505
+0 0 0 0 0 4 5 5 48040505
+0 0 0 0 0 5 5 5 48050505
+0 0 0 0 0 6 5 5 48060505
+0 0 0 0 0 7 5 5 48070505
+0 0 0 0 0 8 5 5 48080505
+0 0 0 0 0 9 5 5 48090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 48000505
+1 0 0 0 0 1 5 5 48010505
+1 0 0 0 0 2 5 5 48020505
+1 0 0 0 0 3 5 5 48030505
+1 0 0 0 0 4 5 5 48040505
+1 0 0 0 0 5 5 5 48050505
+1 0 0 0 0 6 5 5 48060505
+1 0 0 0 0 7 5 5 48070505
+1 0 0 0 0 8 5 5 48080505
+1 0 0 0 0 9 5 5 48090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fzy.yl b/CarpetAttic/Cart3dTest/test/periodic-y/fzy.yl
new file mode 100644
index 000000000..9f3b6a100
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fzy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy y (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 48050005
+0 0 0 0 0 5 1 5 48050105
+0 0 0 0 0 5 2 5 48050205
+0 0 0 0 0 5 3 5 48050305
+0 0 0 0 0 5 4 5 48050405
+0 0 0 0 0 5 5 5 48050505
+0 0 0 0 0 5 6 5 48050605
+0 0 0 0 0 5 7 5 48050705
+0 0 0 0 0 5 8 5 48050805
+0 0 0 0 0 5 9 5 48050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 48050805
+1 0 0 0 0 5 1 5 48050105
+1 0 0 0 0 5 2 5 48050205
+1 0 0 0 0 5 3 5 48050305
+1 0 0 0 0 5 4 5 48050405
+1 0 0 0 0 5 5 5 48050505
+1 0 0 0 0 5 6 5 48050605
+1 0 0 0 0 5 7 5 48050705
+1 0 0 0 0 5 8 5 48050805
+1 0 0 0 0 5 9 5 48050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fzy.zl b/CarpetAttic/Cart3dTest/test/periodic-y/fzy.zl
new file mode 100644
index 000000000..f624242dc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fzy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy z (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 48050500
+0 0 0 0 0 5 5 1 48050501
+0 0 0 0 0 5 5 2 48050502
+0 0 0 0 0 5 5 3 48050503
+0 0 0 0 0 5 5 4 48050504
+0 0 0 0 0 5 5 5 48050505
+0 0 0 0 0 5 5 6 48050506
+0 0 0 0 0 5 5 7 48050507
+0 0 0 0 0 5 5 8 48050508
+0 0 0 0 0 5 5 9 48050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 48050500
+1 0 0 0 0 5 5 1 48050501
+1 0 0 0 0 5 5 2 48050502
+1 0 0 0 0 5 5 3 48050503
+1 0 0 0 0 5 5 4 48050504
+1 0 0 0 0 5 5 5 48050505
+1 0 0 0 0 5 5 6 48050506
+1 0 0 0 0 5 5 7 48050507
+1 0 0 0 0 5 5 8 48050508
+1 0 0 0 0 5 5 9 48050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fzz.xl b/CarpetAttic/Cart3dTest/test/periodic-y/fzz.xl
new file mode 100644
index 000000000..9c8f5cbf0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz x (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 49000505
+0 0 0 0 0 1 5 5 49010505
+0 0 0 0 0 2 5 5 49020505
+0 0 0 0 0 3 5 5 49030505
+0 0 0 0 0 4 5 5 49040505
+0 0 0 0 0 5 5 5 49050505
+0 0 0 0 0 6 5 5 49060505
+0 0 0 0 0 7 5 5 49070505
+0 0 0 0 0 8 5 5 49080505
+0 0 0 0 0 9 5 5 49090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 49000505
+1 0 0 0 0 1 5 5 49010505
+1 0 0 0 0 2 5 5 49020505
+1 0 0 0 0 3 5 5 49030505
+1 0 0 0 0 4 5 5 49040505
+1 0 0 0 0 5 5 5 49050505
+1 0 0 0 0 6 5 5 49060505
+1 0 0 0 0 7 5 5 49070505
+1 0 0 0 0 8 5 5 49080505
+1 0 0 0 0 9 5 5 49090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fzz.yl b/CarpetAttic/Cart3dTest/test/periodic-y/fzz.yl
new file mode 100644
index 000000000..5ad50d331
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz y (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 49050005
+0 0 0 0 0 5 1 5 49050105
+0 0 0 0 0 5 2 5 49050205
+0 0 0 0 0 5 3 5 49050305
+0 0 0 0 0 5 4 5 49050405
+0 0 0 0 0 5 5 5 49050505
+0 0 0 0 0 5 6 5 49050605
+0 0 0 0 0 5 7 5 49050705
+0 0 0 0 0 5 8 5 49050805
+0 0 0 0 0 5 9 5 49050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 49050805
+1 0 0 0 0 5 1 5 49050105
+1 0 0 0 0 5 2 5 49050205
+1 0 0 0 0 5 3 5 49050305
+1 0 0 0 0 5 4 5 49050405
+1 0 0 0 0 5 5 5 49050505
+1 0 0 0 0 5 6 5 49050605
+1 0 0 0 0 5 7 5 49050705
+1 0 0 0 0 5 8 5 49050805
+1 0 0 0 0 5 9 5 49050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/fzz.zl b/CarpetAttic/Cart3dTest/test/periodic-y/fzz.zl
new file mode 100644
index 000000000..364c0d582
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/fzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz z (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 49050500
+0 0 0 0 0 5 5 1 49050501
+0 0 0 0 0 5 5 2 49050502
+0 0 0 0 0 5 5 3 49050503
+0 0 0 0 0 5 5 4 49050504
+0 0 0 0 0 5 5 5 49050505
+0 0 0 0 0 5 5 6 49050506
+0 0 0 0 0 5 5 7 49050507
+0 0 0 0 0 5 5 8 49050508
+0 0 0 0 0 5 5 9 49050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 49050500
+1 0 0 0 0 5 5 1 49050501
+1 0 0 0 0 5 5 2 49050502
+1 0 0 0 0 5 5 3 49050503
+1 0 0 0 0 5 5 4 49050504
+1 0 0 0 0 5 5 5 49050505
+1 0 0 0 0 5 5 6 49050506
+1 0 0 0 0 5 5 7 49050507
+1 0 0 0 0 5 5 8 49050508
+1 0 0 0 0 5 5 9 49050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/s.xl b/CarpetAttic/Cart3dTest/test/periodic-y/s.xl
new file mode 100644
index 000000000..14e43aa3e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/s.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::s x (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 1000505
+0 0 0 0 0 1 5 5 1010505
+0 0 0 0 0 2 5 5 1020505
+0 0 0 0 0 3 5 5 1030505
+0 0 0 0 0 4 5 5 1040505
+0 0 0 0 0 5 5 5 1050505
+0 0 0 0 0 6 5 5 1060505
+0 0 0 0 0 7 5 5 1070505
+0 0 0 0 0 8 5 5 1080505
+0 0 0 0 0 9 5 5 1090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 1000505
+1 0 0 0 0 1 5 5 1010505
+1 0 0 0 0 2 5 5 1020505
+1 0 0 0 0 3 5 5 1030505
+1 0 0 0 0 4 5 5 1040505
+1 0 0 0 0 5 5 5 1050505
+1 0 0 0 0 6 5 5 1060505
+1 0 0 0 0 7 5 5 1070505
+1 0 0 0 0 8 5 5 1080505
+1 0 0 0 0 9 5 5 1090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/s.yl b/CarpetAttic/Cart3dTest/test/periodic-y/s.yl
new file mode 100644
index 000000000..d06a6df59
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/s.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::s y (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 1050005
+0 0 0 0 0 5 1 5 1050105
+0 0 0 0 0 5 2 5 1050205
+0 0 0 0 0 5 3 5 1050305
+0 0 0 0 0 5 4 5 1050405
+0 0 0 0 0 5 5 5 1050505
+0 0 0 0 0 5 6 5 1050605
+0 0 0 0 0 5 7 5 1050705
+0 0 0 0 0 5 8 5 1050805
+0 0 0 0 0 5 9 5 1050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 1050805
+1 0 0 0 0 5 1 5 1050105
+1 0 0 0 0 5 2 5 1050205
+1 0 0 0 0 5 3 5 1050305
+1 0 0 0 0 5 4 5 1050405
+1 0 0 0 0 5 5 5 1050505
+1 0 0 0 0 5 6 5 1050605
+1 0 0 0 0 5 7 5 1050705
+1 0 0 0 0 5 8 5 1050805
+1 0 0 0 0 5 9 5 1050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/s.zl b/CarpetAttic/Cart3dTest/test/periodic-y/s.zl
new file mode 100644
index 000000000..45ce1cd7b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/s.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::s z (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 1050500
+0 0 0 0 0 5 5 1 1050501
+0 0 0 0 0 5 5 2 1050502
+0 0 0 0 0 5 5 3 1050503
+0 0 0 0 0 5 5 4 1050504
+0 0 0 0 0 5 5 5 1050505
+0 0 0 0 0 5 5 6 1050506
+0 0 0 0 0 5 5 7 1050507
+0 0 0 0 0 5 5 8 1050508
+0 0 0 0 0 5 5 9 1050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 1050500
+1 0 0 0 0 5 5 1 1050501
+1 0 0 0 0 5 5 2 1050502
+1 0 0 0 0 5 5 3 1050503
+1 0 0 0 0 5 5 4 1050504
+1 0 0 0 0 5 5 5 1050505
+1 0 0 0 0 5 5 6 1050506
+1 0 0 0 0 5 5 7 1050507
+1 0 0 0 0 5 5 8 1050508
+1 0 0 0 0 5 5 9 1050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/periodic-y/spher3d_r.xl
new file mode 100644
index 000000000..b331c2bf4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/spher3d_r.xl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 1.36656503687164
+0 0 0 0 0 1 5 5 1.07121426428143
+0 0 0 0 0 2 5 5 0.779422863405995
+0 0 0 0 0 3 5 5 0.49749371855331
+0 0 0 0 0 4 5 5 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135332
+0 0 0 0 0 6 5 5 0.49749371855331
+0 0 0 0 0 7 5 5 0.779422863405995
+0 0 0 0 0 8 5 5 1.07121426428143
+0 0 0 0 0 9 5 5 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 1.36656503687164
+1 0 0 0 0 1 5 5 1.07121426428143
+1 0 0 0 0 2 5 5 0.779422863405995
+1 0 0 0 0 3 5 5 0.49749371855331
+1 0 0 0 0 4 5 5 0.259807621135332
+1 0 0 0 0 5 5 5 0.259807621135332
+1 0 0 0 0 6 5 5 0.49749371855331
+1 0 0 0 0 7 5 5 0.779422863405995
+1 0 0 0 0 8 5 5 1.07121426428143
+1 0 0 0 0 9 5 5 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/periodic-y/spher3d_r.yl
new file mode 100644
index 000000000..8ca57fd44
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/spher3d_r.yl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 1.36656503687164
+0 0 0 0 0 5 1 5 1.07121426428143
+0 0 0 0 0 5 2 5 0.779422863405995
+0 0 0 0 0 5 3 5 0.49749371855331
+0 0 0 0 0 5 4 5 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135332
+0 0 0 0 0 5 6 5 0.49749371855331
+0 0 0 0 0 5 7 5 0.779422863405995
+0 0 0 0 0 5 8 5 1.07121426428143
+0 0 0 0 0 5 9 5 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 1.36656503687164
+1 0 0 0 0 5 1 5 1.07121426428143
+1 0 0 0 0 5 2 5 0.779422863405995
+1 0 0 0 0 5 3 5 0.49749371855331
+1 0 0 0 0 5 4 5 0.259807621135332
+1 0 0 0 0 5 5 5 0.259807621135332
+1 0 0 0 0 5 6 5 0.49749371855331
+1 0 0 0 0 5 7 5 0.779422863405995
+1 0 0 0 0 5 8 5 1.07121426428143
+1 0 0 0 0 5 9 5 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/periodic-y/spher3d_r.zl
new file mode 100644
index 000000000..677631008
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/spher3d_r.zl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 1.36656503687164
+0 0 0 0 0 5 5 1 1.07121426428143
+0 0 0 0 0 5 5 2 0.779422863405995
+0 0 0 0 0 5 5 3 0.49749371855331
+0 0 0 0 0 5 5 4 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135332
+0 0 0 0 0 5 5 6 0.49749371855331
+0 0 0 0 0 5 5 7 0.779422863405995
+0 0 0 0 0 5 5 8 1.07121426428143
+0 0 0 0 0 5 5 9 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 1.36656503687164
+1 0 0 0 0 5 5 1 1.07121426428143
+1 0 0 0 0 5 5 2 0.779422863405995
+1 0 0 0 0 5 5 3 0.49749371855331
+1 0 0 0 0 5 5 4 0.259807621135332
+1 0 0 0 0 5 5 5 0.259807621135332
+1 0 0 0 0 5 5 6 0.49749371855331
+1 0 0 0 0 5 5 7 0.779422863405995
+1 0 0 0 0 5 5 8 1.07121426428143
+1 0 0 0 0 5 5 9 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/txx.xl b/CarpetAttic/Cart3dTest/test/periodic-y/txx.xl
new file mode 100644
index 000000000..ec49b7513
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/txx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx x (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 21000505
+0 0 0 0 0 1 5 5 21010505
+0 0 0 0 0 2 5 5 21020505
+0 0 0 0 0 3 5 5 21030505
+0 0 0 0 0 4 5 5 21040505
+0 0 0 0 0 5 5 5 21050505
+0 0 0 0 0 6 5 5 21060505
+0 0 0 0 0 7 5 5 21070505
+0 0 0 0 0 8 5 5 21080505
+0 0 0 0 0 9 5 5 21090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 21000505
+1 0 0 0 0 1 5 5 21010505
+1 0 0 0 0 2 5 5 21020505
+1 0 0 0 0 3 5 5 21030505
+1 0 0 0 0 4 5 5 21040505
+1 0 0 0 0 5 5 5 21050505
+1 0 0 0 0 6 5 5 21060505
+1 0 0 0 0 7 5 5 21070505
+1 0 0 0 0 8 5 5 21080505
+1 0 0 0 0 9 5 5 21090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/txx.yl b/CarpetAttic/Cart3dTest/test/periodic-y/txx.yl
new file mode 100644
index 000000000..6c2b5ac85
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/txx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx y (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 21050005
+0 0 0 0 0 5 1 5 21050105
+0 0 0 0 0 5 2 5 21050205
+0 0 0 0 0 5 3 5 21050305
+0 0 0 0 0 5 4 5 21050405
+0 0 0 0 0 5 5 5 21050505
+0 0 0 0 0 5 6 5 21050605
+0 0 0 0 0 5 7 5 21050705
+0 0 0 0 0 5 8 5 21050805
+0 0 0 0 0 5 9 5 21050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 21050805
+1 0 0 0 0 5 1 5 21050105
+1 0 0 0 0 5 2 5 21050205
+1 0 0 0 0 5 3 5 21050305
+1 0 0 0 0 5 4 5 21050405
+1 0 0 0 0 5 5 5 21050505
+1 0 0 0 0 5 6 5 21050605
+1 0 0 0 0 5 7 5 21050705
+1 0 0 0 0 5 8 5 21050805
+1 0 0 0 0 5 9 5 21050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/txx.zl b/CarpetAttic/Cart3dTest/test/periodic-y/txx.zl
new file mode 100644
index 000000000..53ce67a80
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/txx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx z (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 21050500
+0 0 0 0 0 5 5 1 21050501
+0 0 0 0 0 5 5 2 21050502
+0 0 0 0 0 5 5 3 21050503
+0 0 0 0 0 5 5 4 21050504
+0 0 0 0 0 5 5 5 21050505
+0 0 0 0 0 5 5 6 21050506
+0 0 0 0 0 5 5 7 21050507
+0 0 0 0 0 5 5 8 21050508
+0 0 0 0 0 5 5 9 21050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 21050500
+1 0 0 0 0 5 5 1 21050501
+1 0 0 0 0 5 5 2 21050502
+1 0 0 0 0 5 5 3 21050503
+1 0 0 0 0 5 5 4 21050504
+1 0 0 0 0 5 5 5 21050505
+1 0 0 0 0 5 5 6 21050506
+1 0 0 0 0 5 5 7 21050507
+1 0 0 0 0 5 5 8 21050508
+1 0 0 0 0 5 5 9 21050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/txy.xl b/CarpetAttic/Cart3dTest/test/periodic-y/txy.xl
new file mode 100644
index 000000000..c0a04db3d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/txy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy x (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 22000505
+0 0 0 0 0 1 5 5 22010505
+0 0 0 0 0 2 5 5 22020505
+0 0 0 0 0 3 5 5 22030505
+0 0 0 0 0 4 5 5 22040505
+0 0 0 0 0 5 5 5 22050505
+0 0 0 0 0 6 5 5 22060505
+0 0 0 0 0 7 5 5 22070505
+0 0 0 0 0 8 5 5 22080505
+0 0 0 0 0 9 5 5 22090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 22000505
+1 0 0 0 0 1 5 5 22010505
+1 0 0 0 0 2 5 5 22020505
+1 0 0 0 0 3 5 5 22030505
+1 0 0 0 0 4 5 5 22040505
+1 0 0 0 0 5 5 5 22050505
+1 0 0 0 0 6 5 5 22060505
+1 0 0 0 0 7 5 5 22070505
+1 0 0 0 0 8 5 5 22080505
+1 0 0 0 0 9 5 5 22090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/txy.yl b/CarpetAttic/Cart3dTest/test/periodic-y/txy.yl
new file mode 100644
index 000000000..60ca70da9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/txy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy y (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 22050005
+0 0 0 0 0 5 1 5 22050105
+0 0 0 0 0 5 2 5 22050205
+0 0 0 0 0 5 3 5 22050305
+0 0 0 0 0 5 4 5 22050405
+0 0 0 0 0 5 5 5 22050505
+0 0 0 0 0 5 6 5 22050605
+0 0 0 0 0 5 7 5 22050705
+0 0 0 0 0 5 8 5 22050805
+0 0 0 0 0 5 9 5 22050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 22050805
+1 0 0 0 0 5 1 5 22050105
+1 0 0 0 0 5 2 5 22050205
+1 0 0 0 0 5 3 5 22050305
+1 0 0 0 0 5 4 5 22050405
+1 0 0 0 0 5 5 5 22050505
+1 0 0 0 0 5 6 5 22050605
+1 0 0 0 0 5 7 5 22050705
+1 0 0 0 0 5 8 5 22050805
+1 0 0 0 0 5 9 5 22050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/txy.zl b/CarpetAttic/Cart3dTest/test/periodic-y/txy.zl
new file mode 100644
index 000000000..1a41a546d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/txy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy z (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 22050500
+0 0 0 0 0 5 5 1 22050501
+0 0 0 0 0 5 5 2 22050502
+0 0 0 0 0 5 5 3 22050503
+0 0 0 0 0 5 5 4 22050504
+0 0 0 0 0 5 5 5 22050505
+0 0 0 0 0 5 5 6 22050506
+0 0 0 0 0 5 5 7 22050507
+0 0 0 0 0 5 5 8 22050508
+0 0 0 0 0 5 5 9 22050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 22050500
+1 0 0 0 0 5 5 1 22050501
+1 0 0 0 0 5 5 2 22050502
+1 0 0 0 0 5 5 3 22050503
+1 0 0 0 0 5 5 4 22050504
+1 0 0 0 0 5 5 5 22050505
+1 0 0 0 0 5 5 6 22050506
+1 0 0 0 0 5 5 7 22050507
+1 0 0 0 0 5 5 8 22050508
+1 0 0 0 0 5 5 9 22050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/txz.xl b/CarpetAttic/Cart3dTest/test/periodic-y/txz.xl
new file mode 100644
index 000000000..ef056f783
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/txz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz x (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 23000505
+0 0 0 0 0 1 5 5 23010505
+0 0 0 0 0 2 5 5 23020505
+0 0 0 0 0 3 5 5 23030505
+0 0 0 0 0 4 5 5 23040505
+0 0 0 0 0 5 5 5 23050505
+0 0 0 0 0 6 5 5 23060505
+0 0 0 0 0 7 5 5 23070505
+0 0 0 0 0 8 5 5 23080505
+0 0 0 0 0 9 5 5 23090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 23000505
+1 0 0 0 0 1 5 5 23010505
+1 0 0 0 0 2 5 5 23020505
+1 0 0 0 0 3 5 5 23030505
+1 0 0 0 0 4 5 5 23040505
+1 0 0 0 0 5 5 5 23050505
+1 0 0 0 0 6 5 5 23060505
+1 0 0 0 0 7 5 5 23070505
+1 0 0 0 0 8 5 5 23080505
+1 0 0 0 0 9 5 5 23090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/txz.yl b/CarpetAttic/Cart3dTest/test/periodic-y/txz.yl
new file mode 100644
index 000000000..a0b82ff0e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/txz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz y (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 23050005
+0 0 0 0 0 5 1 5 23050105
+0 0 0 0 0 5 2 5 23050205
+0 0 0 0 0 5 3 5 23050305
+0 0 0 0 0 5 4 5 23050405
+0 0 0 0 0 5 5 5 23050505
+0 0 0 0 0 5 6 5 23050605
+0 0 0 0 0 5 7 5 23050705
+0 0 0 0 0 5 8 5 23050805
+0 0 0 0 0 5 9 5 23050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 23050805
+1 0 0 0 0 5 1 5 23050105
+1 0 0 0 0 5 2 5 23050205
+1 0 0 0 0 5 3 5 23050305
+1 0 0 0 0 5 4 5 23050405
+1 0 0 0 0 5 5 5 23050505
+1 0 0 0 0 5 6 5 23050605
+1 0 0 0 0 5 7 5 23050705
+1 0 0 0 0 5 8 5 23050805
+1 0 0 0 0 5 9 5 23050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/txz.zl b/CarpetAttic/Cart3dTest/test/periodic-y/txz.zl
new file mode 100644
index 000000000..e64aa1884
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/txz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz z (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 23050500
+0 0 0 0 0 5 5 1 23050501
+0 0 0 0 0 5 5 2 23050502
+0 0 0 0 0 5 5 3 23050503
+0 0 0 0 0 5 5 4 23050504
+0 0 0 0 0 5 5 5 23050505
+0 0 0 0 0 5 5 6 23050506
+0 0 0 0 0 5 5 7 23050507
+0 0 0 0 0 5 5 8 23050508
+0 0 0 0 0 5 5 9 23050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 23050500
+1 0 0 0 0 5 5 1 23050501
+1 0 0 0 0 5 5 2 23050502
+1 0 0 0 0 5 5 3 23050503
+1 0 0 0 0 5 5 4 23050504
+1 0 0 0 0 5 5 5 23050505
+1 0 0 0 0 5 5 6 23050506
+1 0 0 0 0 5 5 7 23050507
+1 0 0 0 0 5 5 8 23050508
+1 0 0 0 0 5 5 9 23050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/tyy.xl b/CarpetAttic/Cart3dTest/test/periodic-y/tyy.xl
new file mode 100644
index 000000000..6a8ea71c4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/tyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy x (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 24000505
+0 0 0 0 0 1 5 5 24010505
+0 0 0 0 0 2 5 5 24020505
+0 0 0 0 0 3 5 5 24030505
+0 0 0 0 0 4 5 5 24040505
+0 0 0 0 0 5 5 5 24050505
+0 0 0 0 0 6 5 5 24060505
+0 0 0 0 0 7 5 5 24070505
+0 0 0 0 0 8 5 5 24080505
+0 0 0 0 0 9 5 5 24090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 24000505
+1 0 0 0 0 1 5 5 24010505
+1 0 0 0 0 2 5 5 24020505
+1 0 0 0 0 3 5 5 24030505
+1 0 0 0 0 4 5 5 24040505
+1 0 0 0 0 5 5 5 24050505
+1 0 0 0 0 6 5 5 24060505
+1 0 0 0 0 7 5 5 24070505
+1 0 0 0 0 8 5 5 24080505
+1 0 0 0 0 9 5 5 24090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/tyy.yl b/CarpetAttic/Cart3dTest/test/periodic-y/tyy.yl
new file mode 100644
index 000000000..e5167e1ee
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/tyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy y (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 24050005
+0 0 0 0 0 5 1 5 24050105
+0 0 0 0 0 5 2 5 24050205
+0 0 0 0 0 5 3 5 24050305
+0 0 0 0 0 5 4 5 24050405
+0 0 0 0 0 5 5 5 24050505
+0 0 0 0 0 5 6 5 24050605
+0 0 0 0 0 5 7 5 24050705
+0 0 0 0 0 5 8 5 24050805
+0 0 0 0 0 5 9 5 24050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 24050805
+1 0 0 0 0 5 1 5 24050105
+1 0 0 0 0 5 2 5 24050205
+1 0 0 0 0 5 3 5 24050305
+1 0 0 0 0 5 4 5 24050405
+1 0 0 0 0 5 5 5 24050505
+1 0 0 0 0 5 6 5 24050605
+1 0 0 0 0 5 7 5 24050705
+1 0 0 0 0 5 8 5 24050805
+1 0 0 0 0 5 9 5 24050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/tyy.zl b/CarpetAttic/Cart3dTest/test/periodic-y/tyy.zl
new file mode 100644
index 000000000..76876ffa8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/tyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy z (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 24050500
+0 0 0 0 0 5 5 1 24050501
+0 0 0 0 0 5 5 2 24050502
+0 0 0 0 0 5 5 3 24050503
+0 0 0 0 0 5 5 4 24050504
+0 0 0 0 0 5 5 5 24050505
+0 0 0 0 0 5 5 6 24050506
+0 0 0 0 0 5 5 7 24050507
+0 0 0 0 0 5 5 8 24050508
+0 0 0 0 0 5 5 9 24050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 24050500
+1 0 0 0 0 5 5 1 24050501
+1 0 0 0 0 5 5 2 24050502
+1 0 0 0 0 5 5 3 24050503
+1 0 0 0 0 5 5 4 24050504
+1 0 0 0 0 5 5 5 24050505
+1 0 0 0 0 5 5 6 24050506
+1 0 0 0 0 5 5 7 24050507
+1 0 0 0 0 5 5 8 24050508
+1 0 0 0 0 5 5 9 24050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/tyz.xl b/CarpetAttic/Cart3dTest/test/periodic-y/tyz.xl
new file mode 100644
index 000000000..011e5ce29
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/tyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz x (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 25000505
+0 0 0 0 0 1 5 5 25010505
+0 0 0 0 0 2 5 5 25020505
+0 0 0 0 0 3 5 5 25030505
+0 0 0 0 0 4 5 5 25040505
+0 0 0 0 0 5 5 5 25050505
+0 0 0 0 0 6 5 5 25060505
+0 0 0 0 0 7 5 5 25070505
+0 0 0 0 0 8 5 5 25080505
+0 0 0 0 0 9 5 5 25090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 25000505
+1 0 0 0 0 1 5 5 25010505
+1 0 0 0 0 2 5 5 25020505
+1 0 0 0 0 3 5 5 25030505
+1 0 0 0 0 4 5 5 25040505
+1 0 0 0 0 5 5 5 25050505
+1 0 0 0 0 6 5 5 25060505
+1 0 0 0 0 7 5 5 25070505
+1 0 0 0 0 8 5 5 25080505
+1 0 0 0 0 9 5 5 25090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/tyz.yl b/CarpetAttic/Cart3dTest/test/periodic-y/tyz.yl
new file mode 100644
index 000000000..737aaf03b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/tyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz y (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 25050005
+0 0 0 0 0 5 1 5 25050105
+0 0 0 0 0 5 2 5 25050205
+0 0 0 0 0 5 3 5 25050305
+0 0 0 0 0 5 4 5 25050405
+0 0 0 0 0 5 5 5 25050505
+0 0 0 0 0 5 6 5 25050605
+0 0 0 0 0 5 7 5 25050705
+0 0 0 0 0 5 8 5 25050805
+0 0 0 0 0 5 9 5 25050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 25050805
+1 0 0 0 0 5 1 5 25050105
+1 0 0 0 0 5 2 5 25050205
+1 0 0 0 0 5 3 5 25050305
+1 0 0 0 0 5 4 5 25050405
+1 0 0 0 0 5 5 5 25050505
+1 0 0 0 0 5 6 5 25050605
+1 0 0 0 0 5 7 5 25050705
+1 0 0 0 0 5 8 5 25050805
+1 0 0 0 0 5 9 5 25050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/tyz.zl b/CarpetAttic/Cart3dTest/test/periodic-y/tyz.zl
new file mode 100644
index 000000000..798e9c83c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/tyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz z (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 25050500
+0 0 0 0 0 5 5 1 25050501
+0 0 0 0 0 5 5 2 25050502
+0 0 0 0 0 5 5 3 25050503
+0 0 0 0 0 5 5 4 25050504
+0 0 0 0 0 5 5 5 25050505
+0 0 0 0 0 5 5 6 25050506
+0 0 0 0 0 5 5 7 25050507
+0 0 0 0 0 5 5 8 25050508
+0 0 0 0 0 5 5 9 25050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 25050500
+1 0 0 0 0 5 5 1 25050501
+1 0 0 0 0 5 5 2 25050502
+1 0 0 0 0 5 5 3 25050503
+1 0 0 0 0 5 5 4 25050504
+1 0 0 0 0 5 5 5 25050505
+1 0 0 0 0 5 5 6 25050506
+1 0 0 0 0 5 5 7 25050507
+1 0 0 0 0 5 5 8 25050508
+1 0 0 0 0 5 5 9 25050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/tzz.xl b/CarpetAttic/Cart3dTest/test/periodic-y/tzz.xl
new file mode 100644
index 000000000..0035c4de3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/tzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz x (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 26000505
+0 0 0 0 0 1 5 5 26010505
+0 0 0 0 0 2 5 5 26020505
+0 0 0 0 0 3 5 5 26030505
+0 0 0 0 0 4 5 5 26040505
+0 0 0 0 0 5 5 5 26050505
+0 0 0 0 0 6 5 5 26060505
+0 0 0 0 0 7 5 5 26070505
+0 0 0 0 0 8 5 5 26080505
+0 0 0 0 0 9 5 5 26090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 26000505
+1 0 0 0 0 1 5 5 26010505
+1 0 0 0 0 2 5 5 26020505
+1 0 0 0 0 3 5 5 26030505
+1 0 0 0 0 4 5 5 26040505
+1 0 0 0 0 5 5 5 26050505
+1 0 0 0 0 6 5 5 26060505
+1 0 0 0 0 7 5 5 26070505
+1 0 0 0 0 8 5 5 26080505
+1 0 0 0 0 9 5 5 26090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/tzz.yl b/CarpetAttic/Cart3dTest/test/periodic-y/tzz.yl
new file mode 100644
index 000000000..419eacda2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/tzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz y (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 26050005
+0 0 0 0 0 5 1 5 26050105
+0 0 0 0 0 5 2 5 26050205
+0 0 0 0 0 5 3 5 26050305
+0 0 0 0 0 5 4 5 26050405
+0 0 0 0 0 5 5 5 26050505
+0 0 0 0 0 5 6 5 26050605
+0 0 0 0 0 5 7 5 26050705
+0 0 0 0 0 5 8 5 26050805
+0 0 0 0 0 5 9 5 26050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 26050805
+1 0 0 0 0 5 1 5 26050105
+1 0 0 0 0 5 2 5 26050205
+1 0 0 0 0 5 3 5 26050305
+1 0 0 0 0 5 4 5 26050405
+1 0 0 0 0 5 5 5 26050505
+1 0 0 0 0 5 6 5 26050605
+1 0 0 0 0 5 7 5 26050705
+1 0 0 0 0 5 8 5 26050805
+1 0 0 0 0 5 9 5 26050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/tzz.zl b/CarpetAttic/Cart3dTest/test/periodic-y/tzz.zl
new file mode 100644
index 000000000..e5544b027
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/tzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz z (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 26050500
+0 0 0 0 0 5 5 1 26050501
+0 0 0 0 0 5 5 2 26050502
+0 0 0 0 0 5 5 3 26050503
+0 0 0 0 0 5 5 4 26050504
+0 0 0 0 0 5 5 5 26050505
+0 0 0 0 0 5 5 6 26050506
+0 0 0 0 0 5 5 7 26050507
+0 0 0 0 0 5 5 8 26050508
+0 0 0 0 0 5 5 9 26050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 26050500
+1 0 0 0 0 5 5 1 26050501
+1 0 0 0 0 5 5 2 26050502
+1 0 0 0 0 5 5 3 26050503
+1 0 0 0 0 5 5 4 26050504
+1 0 0 0 0 5 5 5 26050505
+1 0 0 0 0 5 5 6 26050506
+1 0 0 0 0 5 5 7 26050507
+1 0 0 0 0 5 5 8 26050508
+1 0 0 0 0 5 5 9 26050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/vx.xl b/CarpetAttic/Cart3dTest/test/periodic-y/vx.xl
new file mode 100644
index 000000000..d4dafe57f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/vx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 11000505
+0 0 0 0 0 1 5 5 11010505
+0 0 0 0 0 2 5 5 11020505
+0 0 0 0 0 3 5 5 11030505
+0 0 0 0 0 4 5 5 11040505
+0 0 0 0 0 5 5 5 11050505
+0 0 0 0 0 6 5 5 11060505
+0 0 0 0 0 7 5 5 11070505
+0 0 0 0 0 8 5 5 11080505
+0 0 0 0 0 9 5 5 11090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 11000505
+1 0 0 0 0 1 5 5 11010505
+1 0 0 0 0 2 5 5 11020505
+1 0 0 0 0 3 5 5 11030505
+1 0 0 0 0 4 5 5 11040505
+1 0 0 0 0 5 5 5 11050505
+1 0 0 0 0 6 5 5 11060505
+1 0 0 0 0 7 5 5 11070505
+1 0 0 0 0 8 5 5 11080505
+1 0 0 0 0 9 5 5 11090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/vx.yl b/CarpetAttic/Cart3dTest/test/periodic-y/vx.yl
new file mode 100644
index 000000000..f81df364e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/vx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 11050005
+0 0 0 0 0 5 1 5 11050105
+0 0 0 0 0 5 2 5 11050205
+0 0 0 0 0 5 3 5 11050305
+0 0 0 0 0 5 4 5 11050405
+0 0 0 0 0 5 5 5 11050505
+0 0 0 0 0 5 6 5 11050605
+0 0 0 0 0 5 7 5 11050705
+0 0 0 0 0 5 8 5 11050805
+0 0 0 0 0 5 9 5 11050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 11050805
+1 0 0 0 0 5 1 5 11050105
+1 0 0 0 0 5 2 5 11050205
+1 0 0 0 0 5 3 5 11050305
+1 0 0 0 0 5 4 5 11050405
+1 0 0 0 0 5 5 5 11050505
+1 0 0 0 0 5 6 5 11050605
+1 0 0 0 0 5 7 5 11050705
+1 0 0 0 0 5 8 5 11050805
+1 0 0 0 0 5 9 5 11050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/vx.zl b/CarpetAttic/Cart3dTest/test/periodic-y/vx.zl
new file mode 100644
index 000000000..24ff5a9f3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/vx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 11050500
+0 0 0 0 0 5 5 1 11050501
+0 0 0 0 0 5 5 2 11050502
+0 0 0 0 0 5 5 3 11050503
+0 0 0 0 0 5 5 4 11050504
+0 0 0 0 0 5 5 5 11050505
+0 0 0 0 0 5 5 6 11050506
+0 0 0 0 0 5 5 7 11050507
+0 0 0 0 0 5 5 8 11050508
+0 0 0 0 0 5 5 9 11050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 11050500
+1 0 0 0 0 5 5 1 11050501
+1 0 0 0 0 5 5 2 11050502
+1 0 0 0 0 5 5 3 11050503
+1 0 0 0 0 5 5 4 11050504
+1 0 0 0 0 5 5 5 11050505
+1 0 0 0 0 5 5 6 11050506
+1 0 0 0 0 5 5 7 11050507
+1 0 0 0 0 5 5 8 11050508
+1 0 0 0 0 5 5 9 11050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/vy.xl b/CarpetAttic/Cart3dTest/test/periodic-y/vy.xl
new file mode 100644
index 000000000..487f382f4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/vy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 12000505
+0 0 0 0 0 1 5 5 12010505
+0 0 0 0 0 2 5 5 12020505
+0 0 0 0 0 3 5 5 12030505
+0 0 0 0 0 4 5 5 12040505
+0 0 0 0 0 5 5 5 12050505
+0 0 0 0 0 6 5 5 12060505
+0 0 0 0 0 7 5 5 12070505
+0 0 0 0 0 8 5 5 12080505
+0 0 0 0 0 9 5 5 12090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 12000505
+1 0 0 0 0 1 5 5 12010505
+1 0 0 0 0 2 5 5 12020505
+1 0 0 0 0 3 5 5 12030505
+1 0 0 0 0 4 5 5 12040505
+1 0 0 0 0 5 5 5 12050505
+1 0 0 0 0 6 5 5 12060505
+1 0 0 0 0 7 5 5 12070505
+1 0 0 0 0 8 5 5 12080505
+1 0 0 0 0 9 5 5 12090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/vy.yl b/CarpetAttic/Cart3dTest/test/periodic-y/vy.yl
new file mode 100644
index 000000000..d8b64e9eb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/vy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 12050005
+0 0 0 0 0 5 1 5 12050105
+0 0 0 0 0 5 2 5 12050205
+0 0 0 0 0 5 3 5 12050305
+0 0 0 0 0 5 4 5 12050405
+0 0 0 0 0 5 5 5 12050505
+0 0 0 0 0 5 6 5 12050605
+0 0 0 0 0 5 7 5 12050705
+0 0 0 0 0 5 8 5 12050805
+0 0 0 0 0 5 9 5 12050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 12050805
+1 0 0 0 0 5 1 5 12050105
+1 0 0 0 0 5 2 5 12050205
+1 0 0 0 0 5 3 5 12050305
+1 0 0 0 0 5 4 5 12050405
+1 0 0 0 0 5 5 5 12050505
+1 0 0 0 0 5 6 5 12050605
+1 0 0 0 0 5 7 5 12050705
+1 0 0 0 0 5 8 5 12050805
+1 0 0 0 0 5 9 5 12050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/vy.zl b/CarpetAttic/Cart3dTest/test/periodic-y/vy.zl
new file mode 100644
index 000000000..11157352b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/vy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 12050500
+0 0 0 0 0 5 5 1 12050501
+0 0 0 0 0 5 5 2 12050502
+0 0 0 0 0 5 5 3 12050503
+0 0 0 0 0 5 5 4 12050504
+0 0 0 0 0 5 5 5 12050505
+0 0 0 0 0 5 5 6 12050506
+0 0 0 0 0 5 5 7 12050507
+0 0 0 0 0 5 5 8 12050508
+0 0 0 0 0 5 5 9 12050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 12050500
+1 0 0 0 0 5 5 1 12050501
+1 0 0 0 0 5 5 2 12050502
+1 0 0 0 0 5 5 3 12050503
+1 0 0 0 0 5 5 4 12050504
+1 0 0 0 0 5 5 5 12050505
+1 0 0 0 0 5 5 6 12050506
+1 0 0 0 0 5 5 7 12050507
+1 0 0 0 0 5 5 8 12050508
+1 0 0 0 0 5 5 9 12050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/vz.xl b/CarpetAttic/Cart3dTest/test/periodic-y/vz.xl
new file mode 100644
index 000000000..7385d5001
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/vz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 13000505
+0 0 0 0 0 1 5 5 13010505
+0 0 0 0 0 2 5 5 13020505
+0 0 0 0 0 3 5 5 13030505
+0 0 0 0 0 4 5 5 13040505
+0 0 0 0 0 5 5 5 13050505
+0 0 0 0 0 6 5 5 13060505
+0 0 0 0 0 7 5 5 13070505
+0 0 0 0 0 8 5 5 13080505
+0 0 0 0 0 9 5 5 13090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 13000505
+1 0 0 0 0 1 5 5 13010505
+1 0 0 0 0 2 5 5 13020505
+1 0 0 0 0 3 5 5 13030505
+1 0 0 0 0 4 5 5 13040505
+1 0 0 0 0 5 5 5 13050505
+1 0 0 0 0 6 5 5 13060505
+1 0 0 0 0 7 5 5 13070505
+1 0 0 0 0 8 5 5 13080505
+1 0 0 0 0 9 5 5 13090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/vz.yl b/CarpetAttic/Cart3dTest/test/periodic-y/vz.yl
new file mode 100644
index 000000000..dc3f4f135
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/vz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 13050005
+0 0 0 0 0 5 1 5 13050105
+0 0 0 0 0 5 2 5 13050205
+0 0 0 0 0 5 3 5 13050305
+0 0 0 0 0 5 4 5 13050405
+0 0 0 0 0 5 5 5 13050505
+0 0 0 0 0 5 6 5 13050605
+0 0 0 0 0 5 7 5 13050705
+0 0 0 0 0 5 8 5 13050805
+0 0 0 0 0 5 9 5 13050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 13050805
+1 0 0 0 0 5 1 5 13050105
+1 0 0 0 0 5 2 5 13050205
+1 0 0 0 0 5 3 5 13050305
+1 0 0 0 0 5 4 5 13050405
+1 0 0 0 0 5 5 5 13050505
+1 0 0 0 0 5 6 5 13050605
+1 0 0 0 0 5 7 5 13050705
+1 0 0 0 0 5 8 5 13050805
+1 0 0 0 0 5 9 5 13050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-y/vz.zl b/CarpetAttic/Cart3dTest/test/periodic-y/vz.zl
new file mode 100644
index 000000000..3e3212924
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-y/vz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 13050500
+0 0 0 0 0 5 5 1 13050501
+0 0 0 0 0 5 5 2 13050502
+0 0 0 0 0 5 5 3 13050503
+0 0 0 0 0 5 5 4 13050504
+0 0 0 0 0 5 5 5 13050505
+0 0 0 0 0 5 5 6 13050506
+0 0 0 0 0 5 5 7 13050507
+0 0 0 0 0 5 5 8 13050508
+0 0 0 0 0 5 5 9 13050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 13050500
+1 0 0 0 0 5 5 1 13050501
+1 0 0 0 0 5 5 2 13050502
+1 0 0 0 0 5 5 3 13050503
+1 0 0 0 0 5 5 4 13050504
+1 0 0 0 0 5 5 5 13050505
+1 0 0 0 0 5 5 6 13050506
+1 0 0 0 0 5 5 7 13050507
+1 0 0 0 0 5 5 8 13050508
+1 0 0 0 0 5 5 9 13050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z.log b/CarpetAttic/Cart3dTest/test/periodic-z.log
new file mode 100644
index 000000000..8b02f3bdb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z.log
@@ -0,0 +1,81 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z.par b/CarpetAttic/Cart3dTest/test/periodic-z.par
new file mode 100644
index 000000000..67b900516
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z.par
@@ -0,0 +1,17 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/periodic-z.par,v 1.4 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 1
+
+grid::type = "byspacing"
+grid::mode_z = "periodic"
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "periodic-z"
+IOASCII::out1D_vars = "grid::coordinates Cart3dTest::quantities"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/ax.xl b/CarpetAttic/Cart3dTest/test/periodic-z/ax.xl
new file mode 100644
index 000000000..a6dd976ff
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/ax.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax x (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 31000505
+0 0 0 0 0 1 5 5 31010505
+0 0 0 0 0 2 5 5 31020505
+0 0 0 0 0 3 5 5 31030505
+0 0 0 0 0 4 5 5 31040505
+0 0 0 0 0 5 5 5 31050505
+0 0 0 0 0 6 5 5 31060505
+0 0 0 0 0 7 5 5 31070505
+0 0 0 0 0 8 5 5 31080505
+0 0 0 0 0 9 5 5 31090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 31000505
+1 0 0 0 0 1 5 5 31010505
+1 0 0 0 0 2 5 5 31020505
+1 0 0 0 0 3 5 5 31030505
+1 0 0 0 0 4 5 5 31040505
+1 0 0 0 0 5 5 5 31050505
+1 0 0 0 0 6 5 5 31060505
+1 0 0 0 0 7 5 5 31070505
+1 0 0 0 0 8 5 5 31080505
+1 0 0 0 0 9 5 5 31090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/ax.yl b/CarpetAttic/Cart3dTest/test/periodic-z/ax.yl
new file mode 100644
index 000000000..230d653ff
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/ax.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax y (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 31050005
+0 0 0 0 0 5 1 5 31050105
+0 0 0 0 0 5 2 5 31050205
+0 0 0 0 0 5 3 5 31050305
+0 0 0 0 0 5 4 5 31050405
+0 0 0 0 0 5 5 5 31050505
+0 0 0 0 0 5 6 5 31050605
+0 0 0 0 0 5 7 5 31050705
+0 0 0 0 0 5 8 5 31050805
+0 0 0 0 0 5 9 5 31050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 31050005
+1 0 0 0 0 5 1 5 31050105
+1 0 0 0 0 5 2 5 31050205
+1 0 0 0 0 5 3 5 31050305
+1 0 0 0 0 5 4 5 31050405
+1 0 0 0 0 5 5 5 31050505
+1 0 0 0 0 5 6 5 31050605
+1 0 0 0 0 5 7 5 31050705
+1 0 0 0 0 5 8 5 31050805
+1 0 0 0 0 5 9 5 31050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/ax.zl b/CarpetAttic/Cart3dTest/test/periodic-z/ax.zl
new file mode 100644
index 000000000..d8ddff9e5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/ax.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax z (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 31050500
+0 0 0 0 0 5 5 1 31050501
+0 0 0 0 0 5 5 2 31050502
+0 0 0 0 0 5 5 3 31050503
+0 0 0 0 0 5 5 4 31050504
+0 0 0 0 0 5 5 5 31050505
+0 0 0 0 0 5 5 6 31050506
+0 0 0 0 0 5 5 7 31050507
+0 0 0 0 0 5 5 8 31050508
+0 0 0 0 0 5 5 9 31050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 31050506
+1 0 0 0 0 5 5 1 31050507
+1 0 0 0 0 5 5 2 31050502
+1 0 0 0 0 5 5 3 31050503
+1 0 0 0 0 5 5 4 31050504
+1 0 0 0 0 5 5 5 31050505
+1 0 0 0 0 5 5 6 31050506
+1 0 0 0 0 5 5 7 31050507
+1 0 0 0 0 5 5 8 31050502
+1 0 0 0 0 5 5 9 31050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/ay.xl b/CarpetAttic/Cart3dTest/test/periodic-z/ay.xl
new file mode 100644
index 000000000..d98eb4ea0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/ay.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay x (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 32000505
+0 0 0 0 0 1 5 5 32010505
+0 0 0 0 0 2 5 5 32020505
+0 0 0 0 0 3 5 5 32030505
+0 0 0 0 0 4 5 5 32040505
+0 0 0 0 0 5 5 5 32050505
+0 0 0 0 0 6 5 5 32060505
+0 0 0 0 0 7 5 5 32070505
+0 0 0 0 0 8 5 5 32080505
+0 0 0 0 0 9 5 5 32090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 32000505
+1 0 0 0 0 1 5 5 32010505
+1 0 0 0 0 2 5 5 32020505
+1 0 0 0 0 3 5 5 32030505
+1 0 0 0 0 4 5 5 32040505
+1 0 0 0 0 5 5 5 32050505
+1 0 0 0 0 6 5 5 32060505
+1 0 0 0 0 7 5 5 32070505
+1 0 0 0 0 8 5 5 32080505
+1 0 0 0 0 9 5 5 32090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/ay.yl b/CarpetAttic/Cart3dTest/test/periodic-z/ay.yl
new file mode 100644
index 000000000..544d74dd3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/ay.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay y (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 32050005
+0 0 0 0 0 5 1 5 32050105
+0 0 0 0 0 5 2 5 32050205
+0 0 0 0 0 5 3 5 32050305
+0 0 0 0 0 5 4 5 32050405
+0 0 0 0 0 5 5 5 32050505
+0 0 0 0 0 5 6 5 32050605
+0 0 0 0 0 5 7 5 32050705
+0 0 0 0 0 5 8 5 32050805
+0 0 0 0 0 5 9 5 32050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 32050005
+1 0 0 0 0 5 1 5 32050105
+1 0 0 0 0 5 2 5 32050205
+1 0 0 0 0 5 3 5 32050305
+1 0 0 0 0 5 4 5 32050405
+1 0 0 0 0 5 5 5 32050505
+1 0 0 0 0 5 6 5 32050605
+1 0 0 0 0 5 7 5 32050705
+1 0 0 0 0 5 8 5 32050805
+1 0 0 0 0 5 9 5 32050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/ay.zl b/CarpetAttic/Cart3dTest/test/periodic-z/ay.zl
new file mode 100644
index 000000000..fff87a090
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/ay.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay z (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 32050500
+0 0 0 0 0 5 5 1 32050501
+0 0 0 0 0 5 5 2 32050502
+0 0 0 0 0 5 5 3 32050503
+0 0 0 0 0 5 5 4 32050504
+0 0 0 0 0 5 5 5 32050505
+0 0 0 0 0 5 5 6 32050506
+0 0 0 0 0 5 5 7 32050507
+0 0 0 0 0 5 5 8 32050508
+0 0 0 0 0 5 5 9 32050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 32050506
+1 0 0 0 0 5 5 1 32050507
+1 0 0 0 0 5 5 2 32050502
+1 0 0 0 0 5 5 3 32050503
+1 0 0 0 0 5 5 4 32050504
+1 0 0 0 0 5 5 5 32050505
+1 0 0 0 0 5 5 6 32050506
+1 0 0 0 0 5 5 7 32050507
+1 0 0 0 0 5 5 8 32050502
+1 0 0 0 0 5 5 9 32050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/az.xl b/CarpetAttic/Cart3dTest/test/periodic-z/az.xl
new file mode 100644
index 000000000..9c2733464
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/az.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::az x (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 33000505
+0 0 0 0 0 1 5 5 33010505
+0 0 0 0 0 2 5 5 33020505
+0 0 0 0 0 3 5 5 33030505
+0 0 0 0 0 4 5 5 33040505
+0 0 0 0 0 5 5 5 33050505
+0 0 0 0 0 6 5 5 33060505
+0 0 0 0 0 7 5 5 33070505
+0 0 0 0 0 8 5 5 33080505
+0 0 0 0 0 9 5 5 33090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 33000505
+1 0 0 0 0 1 5 5 33010505
+1 0 0 0 0 2 5 5 33020505
+1 0 0 0 0 3 5 5 33030505
+1 0 0 0 0 4 5 5 33040505
+1 0 0 0 0 5 5 5 33050505
+1 0 0 0 0 6 5 5 33060505
+1 0 0 0 0 7 5 5 33070505
+1 0 0 0 0 8 5 5 33080505
+1 0 0 0 0 9 5 5 33090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/az.yl b/CarpetAttic/Cart3dTest/test/periodic-z/az.yl
new file mode 100644
index 000000000..d6681d1c1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/az.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::az y (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 33050005
+0 0 0 0 0 5 1 5 33050105
+0 0 0 0 0 5 2 5 33050205
+0 0 0 0 0 5 3 5 33050305
+0 0 0 0 0 5 4 5 33050405
+0 0 0 0 0 5 5 5 33050505
+0 0 0 0 0 5 6 5 33050605
+0 0 0 0 0 5 7 5 33050705
+0 0 0 0 0 5 8 5 33050805
+0 0 0 0 0 5 9 5 33050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 33050005
+1 0 0 0 0 5 1 5 33050105
+1 0 0 0 0 5 2 5 33050205
+1 0 0 0 0 5 3 5 33050305
+1 0 0 0 0 5 4 5 33050405
+1 0 0 0 0 5 5 5 33050505
+1 0 0 0 0 5 6 5 33050605
+1 0 0 0 0 5 7 5 33050705
+1 0 0 0 0 5 8 5 33050805
+1 0 0 0 0 5 9 5 33050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/az.zl b/CarpetAttic/Cart3dTest/test/periodic-z/az.zl
new file mode 100644
index 000000000..c25f07cd1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/az.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::az z (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 33050500
+0 0 0 0 0 5 5 1 33050501
+0 0 0 0 0 5 5 2 33050502
+0 0 0 0 0 5 5 3 33050503
+0 0 0 0 0 5 5 4 33050504
+0 0 0 0 0 5 5 5 33050505
+0 0 0 0 0 5 5 6 33050506
+0 0 0 0 0 5 5 7 33050507
+0 0 0 0 0 5 5 8 33050508
+0 0 0 0 0 5 5 9 33050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 33050506
+1 0 0 0 0 5 5 1 33050507
+1 0 0 0 0 5 5 2 33050502
+1 0 0 0 0 5 5 3 33050503
+1 0 0 0 0 5 5 4 33050504
+1 0 0 0 0 5 5 5 33050505
+1 0 0 0 0 5 5 6 33050506
+1 0 0 0 0 5 5 7 33050507
+1 0 0 0 0 5 5 8 33050502
+1 0 0 0 0 5 5 9 33050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_x.xl
new file mode 100644
index 000000000..22e840206
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_x.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 -1.35
+0 0 0 0 0 1 5 5 -1.05
+0 0 0 0 0 2 5 5 -0.75
+0 0 0 0 0 3 5 5 -0.45
+0 0 0 0 0 4 5 5 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.45
+0 0 0 0 0 7 5 5 0.75
+0 0 0 0 0 8 5 5 1.05
+0 0 0 0 0 9 5 5 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 -1.35
+1 0 0 0 0 1 5 5 -1.05
+1 0 0 0 0 2 5 5 -0.75
+1 0 0 0 0 3 5 5 -0.45
+1 0 0 0 0 4 5 5 -0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 6 5 5 0.45
+1 0 0 0 0 7 5 5 0.75
+1 0 0 0 0 8 5 5 1.05
+1 0 0 0 0 9 5 5 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_x.yl
new file mode 100644
index 000000000..592815c82
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_x.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 2 5 0.15
+0 0 0 0 0 5 3 5 0.15
+0 0 0 0 0 5 4 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.15
+0 0 0 0 0 5 7 5 0.15
+0 0 0 0 0 5 8 5 0.15
+0 0 0 0 0 5 9 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 5 2 5 0.15
+1 0 0 0 0 5 3 5 0.15
+1 0 0 0 0 5 4 5 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 6 5 0.15
+1 0 0 0 0 5 7 5 0.15
+1 0 0 0 0 5 8 5 0.15
+1 0 0 0 0 5 9 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_x.zl
new file mode 100644
index 000000000..1f894853b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_x.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.15
+0 0 0 0 0 5 5 1 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 5 3 0.15
+0 0 0 0 0 5 5 4 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.15
+0 0 0 0 0 5 5 7 0.15
+0 0 0 0 0 5 5 8 0.15
+0 0 0 0 0 5 5 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 0.15
+1 0 0 0 0 5 5 1 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 5 3 0.15
+1 0 0 0 0 5 5 4 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 5 6 0.15
+1 0 0 0 0 5 5 7 0.15
+1 0 0 0 0 5 5 8 0.15
+1 0 0 0 0 5 5 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_y.xl
new file mode 100644
index 000000000..8ee8190c4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_y.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 1 5 5 0.15
+0 0 0 0 0 2 5 5 0.15
+0 0 0 0 0 3 5 5 0.15
+0 0 0 0 0 4 5 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.15
+0 0 0 0 0 7 5 5 0.15
+0 0 0 0 0 8 5 5 0.15
+0 0 0 0 0 9 5 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 1 5 5 0.15
+1 0 0 0 0 2 5 5 0.15
+1 0 0 0 0 3 5 5 0.15
+1 0 0 0 0 4 5 5 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 6 5 5 0.15
+1 0 0 0 0 7 5 5 0.15
+1 0 0 0 0 8 5 5 0.15
+1 0 0 0 0 9 5 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_y.yl
new file mode 100644
index 000000000..aec69999e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_y.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 -1.35
+0 0 0 0 0 5 1 5 -1.05
+0 0 0 0 0 5 2 5 -0.75
+0 0 0 0 0 5 3 5 -0.45
+0 0 0 0 0 5 4 5 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.45
+0 0 0 0 0 5 7 5 0.75
+0 0 0 0 0 5 8 5 1.05
+0 0 0 0 0 5 9 5 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 -1.35
+1 0 0 0 0 5 1 5 -1.05
+1 0 0 0 0 5 2 5 -0.75
+1 0 0 0 0 5 3 5 -0.45
+1 0 0 0 0 5 4 5 -0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 6 5 0.45
+1 0 0 0 0 5 7 5 0.75
+1 0 0 0 0 5 8 5 1.05
+1 0 0 0 0 5 9 5 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_y.zl
new file mode 100644
index 000000000..f32f3acb9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_y.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.15
+0 0 0 0 0 5 5 1 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 5 3 0.15
+0 0 0 0 0 5 5 4 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.15
+0 0 0 0 0 5 5 7 0.15
+0 0 0 0 0 5 5 8 0.15
+0 0 0 0 0 5 5 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 0.15
+1 0 0 0 0 5 5 1 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 5 3 0.15
+1 0 0 0 0 5 5 4 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 5 6 0.15
+1 0 0 0 0 5 5 7 0.15
+1 0 0 0 0 5 5 8 0.15
+1 0 0 0 0 5 5 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_z.xl
new file mode 100644
index 000000000..400b19f39
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_z.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 1 5 5 0.15
+0 0 0 0 0 2 5 5 0.15
+0 0 0 0 0 3 5 5 0.15
+0 0 0 0 0 4 5 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.15
+0 0 0 0 0 7 5 5 0.15
+0 0 0 0 0 8 5 5 0.15
+0 0 0 0 0 9 5 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 1 5 5 0.15
+1 0 0 0 0 2 5 5 0.15
+1 0 0 0 0 3 5 5 0.15
+1 0 0 0 0 4 5 5 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 6 5 5 0.15
+1 0 0 0 0 7 5 5 0.15
+1 0 0 0 0 8 5 5 0.15
+1 0 0 0 0 9 5 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_z.yl
new file mode 100644
index 000000000..0373176c5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_z.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 2 5 0.15
+0 0 0 0 0 5 3 5 0.15
+0 0 0 0 0 5 4 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.15
+0 0 0 0 0 5 7 5 0.15
+0 0 0 0 0 5 8 5 0.15
+0 0 0 0 0 5 9 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 5 2 5 0.15
+1 0 0 0 0 5 3 5 0.15
+1 0 0 0 0 5 4 5 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 6 5 0.15
+1 0 0 0 0 5 7 5 0.15
+1 0 0 0 0 5 8 5 0.15
+1 0 0 0 0 5 9 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_z.zl
new file mode 100644
index 000000000..6fd48c20b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/cart3d_z.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 -1.35
+0 0 0 0 0 5 5 1 -1.05
+0 0 0 0 0 5 5 2 -0.75
+0 0 0 0 0 5 5 3 -0.45
+0 0 0 0 0 5 5 4 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.45
+0 0 0 0 0 5 5 7 0.75
+0 0 0 0 0 5 5 8 1.05
+0 0 0 0 0 5 5 9 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -1.35
+1 0 0 0 0 5 5 1 -1.05
+1 0 0 0 0 5 5 2 -0.75
+1 0 0 0 0 5 5 3 -0.45
+1 0 0 0 0 5 5 4 -0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 5 6 0.45
+1 0 0 0 0 5 5 7 0.75
+1 0 0 0 0 5 5 8 1.05
+1 0 0 0 0 5 5 9 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fxx.xl b/CarpetAttic/Cart3dTest/test/periodic-z/fxx.xl
new file mode 100644
index 000000000..f4e4dc8fd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fxx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx x (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 41000505
+0 0 0 0 0 1 5 5 41010505
+0 0 0 0 0 2 5 5 41020505
+0 0 0 0 0 3 5 5 41030505
+0 0 0 0 0 4 5 5 41040505
+0 0 0 0 0 5 5 5 41050505
+0 0 0 0 0 6 5 5 41060505
+0 0 0 0 0 7 5 5 41070505
+0 0 0 0 0 8 5 5 41080505
+0 0 0 0 0 9 5 5 41090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 41000505
+1 0 0 0 0 1 5 5 41010505
+1 0 0 0 0 2 5 5 41020505
+1 0 0 0 0 3 5 5 41030505
+1 0 0 0 0 4 5 5 41040505
+1 0 0 0 0 5 5 5 41050505
+1 0 0 0 0 6 5 5 41060505
+1 0 0 0 0 7 5 5 41070505
+1 0 0 0 0 8 5 5 41080505
+1 0 0 0 0 9 5 5 41090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fxx.yl b/CarpetAttic/Cart3dTest/test/periodic-z/fxx.yl
new file mode 100644
index 000000000..153dc4e30
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fxx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx y (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 41050005
+0 0 0 0 0 5 1 5 41050105
+0 0 0 0 0 5 2 5 41050205
+0 0 0 0 0 5 3 5 41050305
+0 0 0 0 0 5 4 5 41050405
+0 0 0 0 0 5 5 5 41050505
+0 0 0 0 0 5 6 5 41050605
+0 0 0 0 0 5 7 5 41050705
+0 0 0 0 0 5 8 5 41050805
+0 0 0 0 0 5 9 5 41050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 41050005
+1 0 0 0 0 5 1 5 41050105
+1 0 0 0 0 5 2 5 41050205
+1 0 0 0 0 5 3 5 41050305
+1 0 0 0 0 5 4 5 41050405
+1 0 0 0 0 5 5 5 41050505
+1 0 0 0 0 5 6 5 41050605
+1 0 0 0 0 5 7 5 41050705
+1 0 0 0 0 5 8 5 41050805
+1 0 0 0 0 5 9 5 41050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fxx.zl b/CarpetAttic/Cart3dTest/test/periodic-z/fxx.zl
new file mode 100644
index 000000000..64395ee5f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fxx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx z (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 41050500
+0 0 0 0 0 5 5 1 41050501
+0 0 0 0 0 5 5 2 41050502
+0 0 0 0 0 5 5 3 41050503
+0 0 0 0 0 5 5 4 41050504
+0 0 0 0 0 5 5 5 41050505
+0 0 0 0 0 5 5 6 41050506
+0 0 0 0 0 5 5 7 41050507
+0 0 0 0 0 5 5 8 41050508
+0 0 0 0 0 5 5 9 41050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 41050506
+1 0 0 0 0 5 5 1 41050507
+1 0 0 0 0 5 5 2 41050502
+1 0 0 0 0 5 5 3 41050503
+1 0 0 0 0 5 5 4 41050504
+1 0 0 0 0 5 5 5 41050505
+1 0 0 0 0 5 5 6 41050506
+1 0 0 0 0 5 5 7 41050507
+1 0 0 0 0 5 5 8 41050502
+1 0 0 0 0 5 5 9 41050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fxy.xl b/CarpetAttic/Cart3dTest/test/periodic-z/fxy.xl
new file mode 100644
index 000000000..bec381f14
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fxy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy x (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 42000505
+0 0 0 0 0 1 5 5 42010505
+0 0 0 0 0 2 5 5 42020505
+0 0 0 0 0 3 5 5 42030505
+0 0 0 0 0 4 5 5 42040505
+0 0 0 0 0 5 5 5 42050505
+0 0 0 0 0 6 5 5 42060505
+0 0 0 0 0 7 5 5 42070505
+0 0 0 0 0 8 5 5 42080505
+0 0 0 0 0 9 5 5 42090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 42000505
+1 0 0 0 0 1 5 5 42010505
+1 0 0 0 0 2 5 5 42020505
+1 0 0 0 0 3 5 5 42030505
+1 0 0 0 0 4 5 5 42040505
+1 0 0 0 0 5 5 5 42050505
+1 0 0 0 0 6 5 5 42060505
+1 0 0 0 0 7 5 5 42070505
+1 0 0 0 0 8 5 5 42080505
+1 0 0 0 0 9 5 5 42090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fxy.yl b/CarpetAttic/Cart3dTest/test/periodic-z/fxy.yl
new file mode 100644
index 000000000..4a0d7a418
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fxy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy y (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 42050005
+0 0 0 0 0 5 1 5 42050105
+0 0 0 0 0 5 2 5 42050205
+0 0 0 0 0 5 3 5 42050305
+0 0 0 0 0 5 4 5 42050405
+0 0 0 0 0 5 5 5 42050505
+0 0 0 0 0 5 6 5 42050605
+0 0 0 0 0 5 7 5 42050705
+0 0 0 0 0 5 8 5 42050805
+0 0 0 0 0 5 9 5 42050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 42050005
+1 0 0 0 0 5 1 5 42050105
+1 0 0 0 0 5 2 5 42050205
+1 0 0 0 0 5 3 5 42050305
+1 0 0 0 0 5 4 5 42050405
+1 0 0 0 0 5 5 5 42050505
+1 0 0 0 0 5 6 5 42050605
+1 0 0 0 0 5 7 5 42050705
+1 0 0 0 0 5 8 5 42050805
+1 0 0 0 0 5 9 5 42050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fxy.zl b/CarpetAttic/Cart3dTest/test/periodic-z/fxy.zl
new file mode 100644
index 000000000..1e6801dbd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fxy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy z (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 42050500
+0 0 0 0 0 5 5 1 42050501
+0 0 0 0 0 5 5 2 42050502
+0 0 0 0 0 5 5 3 42050503
+0 0 0 0 0 5 5 4 42050504
+0 0 0 0 0 5 5 5 42050505
+0 0 0 0 0 5 5 6 42050506
+0 0 0 0 0 5 5 7 42050507
+0 0 0 0 0 5 5 8 42050508
+0 0 0 0 0 5 5 9 42050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 42050506
+1 0 0 0 0 5 5 1 42050507
+1 0 0 0 0 5 5 2 42050502
+1 0 0 0 0 5 5 3 42050503
+1 0 0 0 0 5 5 4 42050504
+1 0 0 0 0 5 5 5 42050505
+1 0 0 0 0 5 5 6 42050506
+1 0 0 0 0 5 5 7 42050507
+1 0 0 0 0 5 5 8 42050502
+1 0 0 0 0 5 5 9 42050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fxz.xl b/CarpetAttic/Cart3dTest/test/periodic-z/fxz.xl
new file mode 100644
index 000000000..1a33e9082
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fxz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz x (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 43000505
+0 0 0 0 0 1 5 5 43010505
+0 0 0 0 0 2 5 5 43020505
+0 0 0 0 0 3 5 5 43030505
+0 0 0 0 0 4 5 5 43040505
+0 0 0 0 0 5 5 5 43050505
+0 0 0 0 0 6 5 5 43060505
+0 0 0 0 0 7 5 5 43070505
+0 0 0 0 0 8 5 5 43080505
+0 0 0 0 0 9 5 5 43090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 43000505
+1 0 0 0 0 1 5 5 43010505
+1 0 0 0 0 2 5 5 43020505
+1 0 0 0 0 3 5 5 43030505
+1 0 0 0 0 4 5 5 43040505
+1 0 0 0 0 5 5 5 43050505
+1 0 0 0 0 6 5 5 43060505
+1 0 0 0 0 7 5 5 43070505
+1 0 0 0 0 8 5 5 43080505
+1 0 0 0 0 9 5 5 43090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fxz.yl b/CarpetAttic/Cart3dTest/test/periodic-z/fxz.yl
new file mode 100644
index 000000000..866f8e838
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fxz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz y (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 43050005
+0 0 0 0 0 5 1 5 43050105
+0 0 0 0 0 5 2 5 43050205
+0 0 0 0 0 5 3 5 43050305
+0 0 0 0 0 5 4 5 43050405
+0 0 0 0 0 5 5 5 43050505
+0 0 0 0 0 5 6 5 43050605
+0 0 0 0 0 5 7 5 43050705
+0 0 0 0 0 5 8 5 43050805
+0 0 0 0 0 5 9 5 43050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 43050005
+1 0 0 0 0 5 1 5 43050105
+1 0 0 0 0 5 2 5 43050205
+1 0 0 0 0 5 3 5 43050305
+1 0 0 0 0 5 4 5 43050405
+1 0 0 0 0 5 5 5 43050505
+1 0 0 0 0 5 6 5 43050605
+1 0 0 0 0 5 7 5 43050705
+1 0 0 0 0 5 8 5 43050805
+1 0 0 0 0 5 9 5 43050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fxz.zl b/CarpetAttic/Cart3dTest/test/periodic-z/fxz.zl
new file mode 100644
index 000000000..d110a11d6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fxz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz z (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 43050500
+0 0 0 0 0 5 5 1 43050501
+0 0 0 0 0 5 5 2 43050502
+0 0 0 0 0 5 5 3 43050503
+0 0 0 0 0 5 5 4 43050504
+0 0 0 0 0 5 5 5 43050505
+0 0 0 0 0 5 5 6 43050506
+0 0 0 0 0 5 5 7 43050507
+0 0 0 0 0 5 5 8 43050508
+0 0 0 0 0 5 5 9 43050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 43050506
+1 0 0 0 0 5 5 1 43050507
+1 0 0 0 0 5 5 2 43050502
+1 0 0 0 0 5 5 3 43050503
+1 0 0 0 0 5 5 4 43050504
+1 0 0 0 0 5 5 5 43050505
+1 0 0 0 0 5 5 6 43050506
+1 0 0 0 0 5 5 7 43050507
+1 0 0 0 0 5 5 8 43050502
+1 0 0 0 0 5 5 9 43050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fyx.xl b/CarpetAttic/Cart3dTest/test/periodic-z/fyx.xl
new file mode 100644
index 000000000..cae9cbe2d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fyx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx x (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 44000505
+0 0 0 0 0 1 5 5 44010505
+0 0 0 0 0 2 5 5 44020505
+0 0 0 0 0 3 5 5 44030505
+0 0 0 0 0 4 5 5 44040505
+0 0 0 0 0 5 5 5 44050505
+0 0 0 0 0 6 5 5 44060505
+0 0 0 0 0 7 5 5 44070505
+0 0 0 0 0 8 5 5 44080505
+0 0 0 0 0 9 5 5 44090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 44000505
+1 0 0 0 0 1 5 5 44010505
+1 0 0 0 0 2 5 5 44020505
+1 0 0 0 0 3 5 5 44030505
+1 0 0 0 0 4 5 5 44040505
+1 0 0 0 0 5 5 5 44050505
+1 0 0 0 0 6 5 5 44060505
+1 0 0 0 0 7 5 5 44070505
+1 0 0 0 0 8 5 5 44080505
+1 0 0 0 0 9 5 5 44090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fyx.yl b/CarpetAttic/Cart3dTest/test/periodic-z/fyx.yl
new file mode 100644
index 000000000..5f874165c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fyx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx y (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 44050005
+0 0 0 0 0 5 1 5 44050105
+0 0 0 0 0 5 2 5 44050205
+0 0 0 0 0 5 3 5 44050305
+0 0 0 0 0 5 4 5 44050405
+0 0 0 0 0 5 5 5 44050505
+0 0 0 0 0 5 6 5 44050605
+0 0 0 0 0 5 7 5 44050705
+0 0 0 0 0 5 8 5 44050805
+0 0 0 0 0 5 9 5 44050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 44050005
+1 0 0 0 0 5 1 5 44050105
+1 0 0 0 0 5 2 5 44050205
+1 0 0 0 0 5 3 5 44050305
+1 0 0 0 0 5 4 5 44050405
+1 0 0 0 0 5 5 5 44050505
+1 0 0 0 0 5 6 5 44050605
+1 0 0 0 0 5 7 5 44050705
+1 0 0 0 0 5 8 5 44050805
+1 0 0 0 0 5 9 5 44050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fyx.zl b/CarpetAttic/Cart3dTest/test/periodic-z/fyx.zl
new file mode 100644
index 000000000..3c7d095af
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fyx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx z (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 44050500
+0 0 0 0 0 5 5 1 44050501
+0 0 0 0 0 5 5 2 44050502
+0 0 0 0 0 5 5 3 44050503
+0 0 0 0 0 5 5 4 44050504
+0 0 0 0 0 5 5 5 44050505
+0 0 0 0 0 5 5 6 44050506
+0 0 0 0 0 5 5 7 44050507
+0 0 0 0 0 5 5 8 44050508
+0 0 0 0 0 5 5 9 44050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 44050506
+1 0 0 0 0 5 5 1 44050507
+1 0 0 0 0 5 5 2 44050502
+1 0 0 0 0 5 5 3 44050503
+1 0 0 0 0 5 5 4 44050504
+1 0 0 0 0 5 5 5 44050505
+1 0 0 0 0 5 5 6 44050506
+1 0 0 0 0 5 5 7 44050507
+1 0 0 0 0 5 5 8 44050502
+1 0 0 0 0 5 5 9 44050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fyy.xl b/CarpetAttic/Cart3dTest/test/periodic-z/fyy.xl
new file mode 100644
index 000000000..5008c5b15
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy x (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 45000505
+0 0 0 0 0 1 5 5 45010505
+0 0 0 0 0 2 5 5 45020505
+0 0 0 0 0 3 5 5 45030505
+0 0 0 0 0 4 5 5 45040505
+0 0 0 0 0 5 5 5 45050505
+0 0 0 0 0 6 5 5 45060505
+0 0 0 0 0 7 5 5 45070505
+0 0 0 0 0 8 5 5 45080505
+0 0 0 0 0 9 5 5 45090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 45000505
+1 0 0 0 0 1 5 5 45010505
+1 0 0 0 0 2 5 5 45020505
+1 0 0 0 0 3 5 5 45030505
+1 0 0 0 0 4 5 5 45040505
+1 0 0 0 0 5 5 5 45050505
+1 0 0 0 0 6 5 5 45060505
+1 0 0 0 0 7 5 5 45070505
+1 0 0 0 0 8 5 5 45080505
+1 0 0 0 0 9 5 5 45090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fyy.yl b/CarpetAttic/Cart3dTest/test/periodic-z/fyy.yl
new file mode 100644
index 000000000..8396d09b1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy y (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 45050005
+0 0 0 0 0 5 1 5 45050105
+0 0 0 0 0 5 2 5 45050205
+0 0 0 0 0 5 3 5 45050305
+0 0 0 0 0 5 4 5 45050405
+0 0 0 0 0 5 5 5 45050505
+0 0 0 0 0 5 6 5 45050605
+0 0 0 0 0 5 7 5 45050705
+0 0 0 0 0 5 8 5 45050805
+0 0 0 0 0 5 9 5 45050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 45050005
+1 0 0 0 0 5 1 5 45050105
+1 0 0 0 0 5 2 5 45050205
+1 0 0 0 0 5 3 5 45050305
+1 0 0 0 0 5 4 5 45050405
+1 0 0 0 0 5 5 5 45050505
+1 0 0 0 0 5 6 5 45050605
+1 0 0 0 0 5 7 5 45050705
+1 0 0 0 0 5 8 5 45050805
+1 0 0 0 0 5 9 5 45050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fyy.zl b/CarpetAttic/Cart3dTest/test/periodic-z/fyy.zl
new file mode 100644
index 000000000..7df9b43b3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy z (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 45050500
+0 0 0 0 0 5 5 1 45050501
+0 0 0 0 0 5 5 2 45050502
+0 0 0 0 0 5 5 3 45050503
+0 0 0 0 0 5 5 4 45050504
+0 0 0 0 0 5 5 5 45050505
+0 0 0 0 0 5 5 6 45050506
+0 0 0 0 0 5 5 7 45050507
+0 0 0 0 0 5 5 8 45050508
+0 0 0 0 0 5 5 9 45050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 45050506
+1 0 0 0 0 5 5 1 45050507
+1 0 0 0 0 5 5 2 45050502
+1 0 0 0 0 5 5 3 45050503
+1 0 0 0 0 5 5 4 45050504
+1 0 0 0 0 5 5 5 45050505
+1 0 0 0 0 5 5 6 45050506
+1 0 0 0 0 5 5 7 45050507
+1 0 0 0 0 5 5 8 45050502
+1 0 0 0 0 5 5 9 45050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fyz.xl b/CarpetAttic/Cart3dTest/test/periodic-z/fyz.xl
new file mode 100644
index 000000000..d98ca2a15
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz x (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 46000505
+0 0 0 0 0 1 5 5 46010505
+0 0 0 0 0 2 5 5 46020505
+0 0 0 0 0 3 5 5 46030505
+0 0 0 0 0 4 5 5 46040505
+0 0 0 0 0 5 5 5 46050505
+0 0 0 0 0 6 5 5 46060505
+0 0 0 0 0 7 5 5 46070505
+0 0 0 0 0 8 5 5 46080505
+0 0 0 0 0 9 5 5 46090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 46000505
+1 0 0 0 0 1 5 5 46010505
+1 0 0 0 0 2 5 5 46020505
+1 0 0 0 0 3 5 5 46030505
+1 0 0 0 0 4 5 5 46040505
+1 0 0 0 0 5 5 5 46050505
+1 0 0 0 0 6 5 5 46060505
+1 0 0 0 0 7 5 5 46070505
+1 0 0 0 0 8 5 5 46080505
+1 0 0 0 0 9 5 5 46090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fyz.yl b/CarpetAttic/Cart3dTest/test/periodic-z/fyz.yl
new file mode 100644
index 000000000..028f1efd3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz y (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 46050005
+0 0 0 0 0 5 1 5 46050105
+0 0 0 0 0 5 2 5 46050205
+0 0 0 0 0 5 3 5 46050305
+0 0 0 0 0 5 4 5 46050405
+0 0 0 0 0 5 5 5 46050505
+0 0 0 0 0 5 6 5 46050605
+0 0 0 0 0 5 7 5 46050705
+0 0 0 0 0 5 8 5 46050805
+0 0 0 0 0 5 9 5 46050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 46050005
+1 0 0 0 0 5 1 5 46050105
+1 0 0 0 0 5 2 5 46050205
+1 0 0 0 0 5 3 5 46050305
+1 0 0 0 0 5 4 5 46050405
+1 0 0 0 0 5 5 5 46050505
+1 0 0 0 0 5 6 5 46050605
+1 0 0 0 0 5 7 5 46050705
+1 0 0 0 0 5 8 5 46050805
+1 0 0 0 0 5 9 5 46050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fyz.zl b/CarpetAttic/Cart3dTest/test/periodic-z/fyz.zl
new file mode 100644
index 000000000..b2ef586f3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz z (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 46050500
+0 0 0 0 0 5 5 1 46050501
+0 0 0 0 0 5 5 2 46050502
+0 0 0 0 0 5 5 3 46050503
+0 0 0 0 0 5 5 4 46050504
+0 0 0 0 0 5 5 5 46050505
+0 0 0 0 0 5 5 6 46050506
+0 0 0 0 0 5 5 7 46050507
+0 0 0 0 0 5 5 8 46050508
+0 0 0 0 0 5 5 9 46050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 46050506
+1 0 0 0 0 5 5 1 46050507
+1 0 0 0 0 5 5 2 46050502
+1 0 0 0 0 5 5 3 46050503
+1 0 0 0 0 5 5 4 46050504
+1 0 0 0 0 5 5 5 46050505
+1 0 0 0 0 5 5 6 46050506
+1 0 0 0 0 5 5 7 46050507
+1 0 0 0 0 5 5 8 46050502
+1 0 0 0 0 5 5 9 46050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fzx.xl b/CarpetAttic/Cart3dTest/test/periodic-z/fzx.xl
new file mode 100644
index 000000000..b13ff1471
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fzx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx x (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 47000505
+0 0 0 0 0 1 5 5 47010505
+0 0 0 0 0 2 5 5 47020505
+0 0 0 0 0 3 5 5 47030505
+0 0 0 0 0 4 5 5 47040505
+0 0 0 0 0 5 5 5 47050505
+0 0 0 0 0 6 5 5 47060505
+0 0 0 0 0 7 5 5 47070505
+0 0 0 0 0 8 5 5 47080505
+0 0 0 0 0 9 5 5 47090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 47000505
+1 0 0 0 0 1 5 5 47010505
+1 0 0 0 0 2 5 5 47020505
+1 0 0 0 0 3 5 5 47030505
+1 0 0 0 0 4 5 5 47040505
+1 0 0 0 0 5 5 5 47050505
+1 0 0 0 0 6 5 5 47060505
+1 0 0 0 0 7 5 5 47070505
+1 0 0 0 0 8 5 5 47080505
+1 0 0 0 0 9 5 5 47090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fzx.yl b/CarpetAttic/Cart3dTest/test/periodic-z/fzx.yl
new file mode 100644
index 000000000..734fc768c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fzx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx y (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 47050005
+0 0 0 0 0 5 1 5 47050105
+0 0 0 0 0 5 2 5 47050205
+0 0 0 0 0 5 3 5 47050305
+0 0 0 0 0 5 4 5 47050405
+0 0 0 0 0 5 5 5 47050505
+0 0 0 0 0 5 6 5 47050605
+0 0 0 0 0 5 7 5 47050705
+0 0 0 0 0 5 8 5 47050805
+0 0 0 0 0 5 9 5 47050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 47050005
+1 0 0 0 0 5 1 5 47050105
+1 0 0 0 0 5 2 5 47050205
+1 0 0 0 0 5 3 5 47050305
+1 0 0 0 0 5 4 5 47050405
+1 0 0 0 0 5 5 5 47050505
+1 0 0 0 0 5 6 5 47050605
+1 0 0 0 0 5 7 5 47050705
+1 0 0 0 0 5 8 5 47050805
+1 0 0 0 0 5 9 5 47050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fzx.zl b/CarpetAttic/Cart3dTest/test/periodic-z/fzx.zl
new file mode 100644
index 000000000..9ea3a452a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fzx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx z (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 47050500
+0 0 0 0 0 5 5 1 47050501
+0 0 0 0 0 5 5 2 47050502
+0 0 0 0 0 5 5 3 47050503
+0 0 0 0 0 5 5 4 47050504
+0 0 0 0 0 5 5 5 47050505
+0 0 0 0 0 5 5 6 47050506
+0 0 0 0 0 5 5 7 47050507
+0 0 0 0 0 5 5 8 47050508
+0 0 0 0 0 5 5 9 47050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 47050506
+1 0 0 0 0 5 5 1 47050507
+1 0 0 0 0 5 5 2 47050502
+1 0 0 0 0 5 5 3 47050503
+1 0 0 0 0 5 5 4 47050504
+1 0 0 0 0 5 5 5 47050505
+1 0 0 0 0 5 5 6 47050506
+1 0 0 0 0 5 5 7 47050507
+1 0 0 0 0 5 5 8 47050502
+1 0 0 0 0 5 5 9 47050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fzy.xl b/CarpetAttic/Cart3dTest/test/periodic-z/fzy.xl
new file mode 100644
index 000000000..d8b2ffa66
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fzy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy x (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 48000505
+0 0 0 0 0 1 5 5 48010505
+0 0 0 0 0 2 5 5 48020505
+0 0 0 0 0 3 5 5 48030505
+0 0 0 0 0 4 5 5 48040505
+0 0 0 0 0 5 5 5 48050505
+0 0 0 0 0 6 5 5 48060505
+0 0 0 0 0 7 5 5 48070505
+0 0 0 0 0 8 5 5 48080505
+0 0 0 0 0 9 5 5 48090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 48000505
+1 0 0 0 0 1 5 5 48010505
+1 0 0 0 0 2 5 5 48020505
+1 0 0 0 0 3 5 5 48030505
+1 0 0 0 0 4 5 5 48040505
+1 0 0 0 0 5 5 5 48050505
+1 0 0 0 0 6 5 5 48060505
+1 0 0 0 0 7 5 5 48070505
+1 0 0 0 0 8 5 5 48080505
+1 0 0 0 0 9 5 5 48090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fzy.yl b/CarpetAttic/Cart3dTest/test/periodic-z/fzy.yl
new file mode 100644
index 000000000..bde3eb782
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fzy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy y (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 48050005
+0 0 0 0 0 5 1 5 48050105
+0 0 0 0 0 5 2 5 48050205
+0 0 0 0 0 5 3 5 48050305
+0 0 0 0 0 5 4 5 48050405
+0 0 0 0 0 5 5 5 48050505
+0 0 0 0 0 5 6 5 48050605
+0 0 0 0 0 5 7 5 48050705
+0 0 0 0 0 5 8 5 48050805
+0 0 0 0 0 5 9 5 48050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 48050005
+1 0 0 0 0 5 1 5 48050105
+1 0 0 0 0 5 2 5 48050205
+1 0 0 0 0 5 3 5 48050305
+1 0 0 0 0 5 4 5 48050405
+1 0 0 0 0 5 5 5 48050505
+1 0 0 0 0 5 6 5 48050605
+1 0 0 0 0 5 7 5 48050705
+1 0 0 0 0 5 8 5 48050805
+1 0 0 0 0 5 9 5 48050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fzy.zl b/CarpetAttic/Cart3dTest/test/periodic-z/fzy.zl
new file mode 100644
index 000000000..9de0b0937
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fzy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy z (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 48050500
+0 0 0 0 0 5 5 1 48050501
+0 0 0 0 0 5 5 2 48050502
+0 0 0 0 0 5 5 3 48050503
+0 0 0 0 0 5 5 4 48050504
+0 0 0 0 0 5 5 5 48050505
+0 0 0 0 0 5 5 6 48050506
+0 0 0 0 0 5 5 7 48050507
+0 0 0 0 0 5 5 8 48050508
+0 0 0 0 0 5 5 9 48050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 48050506
+1 0 0 0 0 5 5 1 48050507
+1 0 0 0 0 5 5 2 48050502
+1 0 0 0 0 5 5 3 48050503
+1 0 0 0 0 5 5 4 48050504
+1 0 0 0 0 5 5 5 48050505
+1 0 0 0 0 5 5 6 48050506
+1 0 0 0 0 5 5 7 48050507
+1 0 0 0 0 5 5 8 48050502
+1 0 0 0 0 5 5 9 48050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fzz.xl b/CarpetAttic/Cart3dTest/test/periodic-z/fzz.xl
new file mode 100644
index 000000000..9c8f5cbf0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz x (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 49000505
+0 0 0 0 0 1 5 5 49010505
+0 0 0 0 0 2 5 5 49020505
+0 0 0 0 0 3 5 5 49030505
+0 0 0 0 0 4 5 5 49040505
+0 0 0 0 0 5 5 5 49050505
+0 0 0 0 0 6 5 5 49060505
+0 0 0 0 0 7 5 5 49070505
+0 0 0 0 0 8 5 5 49080505
+0 0 0 0 0 9 5 5 49090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 49000505
+1 0 0 0 0 1 5 5 49010505
+1 0 0 0 0 2 5 5 49020505
+1 0 0 0 0 3 5 5 49030505
+1 0 0 0 0 4 5 5 49040505
+1 0 0 0 0 5 5 5 49050505
+1 0 0 0 0 6 5 5 49060505
+1 0 0 0 0 7 5 5 49070505
+1 0 0 0 0 8 5 5 49080505
+1 0 0 0 0 9 5 5 49090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fzz.yl b/CarpetAttic/Cart3dTest/test/periodic-z/fzz.yl
new file mode 100644
index 000000000..a5f45247e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz y (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 49050005
+0 0 0 0 0 5 1 5 49050105
+0 0 0 0 0 5 2 5 49050205
+0 0 0 0 0 5 3 5 49050305
+0 0 0 0 0 5 4 5 49050405
+0 0 0 0 0 5 5 5 49050505
+0 0 0 0 0 5 6 5 49050605
+0 0 0 0 0 5 7 5 49050705
+0 0 0 0 0 5 8 5 49050805
+0 0 0 0 0 5 9 5 49050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 49050005
+1 0 0 0 0 5 1 5 49050105
+1 0 0 0 0 5 2 5 49050205
+1 0 0 0 0 5 3 5 49050305
+1 0 0 0 0 5 4 5 49050405
+1 0 0 0 0 5 5 5 49050505
+1 0 0 0 0 5 6 5 49050605
+1 0 0 0 0 5 7 5 49050705
+1 0 0 0 0 5 8 5 49050805
+1 0 0 0 0 5 9 5 49050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/fzz.zl b/CarpetAttic/Cart3dTest/test/periodic-z/fzz.zl
new file mode 100644
index 000000000..e361fad48
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/fzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz z (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 49050500
+0 0 0 0 0 5 5 1 49050501
+0 0 0 0 0 5 5 2 49050502
+0 0 0 0 0 5 5 3 49050503
+0 0 0 0 0 5 5 4 49050504
+0 0 0 0 0 5 5 5 49050505
+0 0 0 0 0 5 5 6 49050506
+0 0 0 0 0 5 5 7 49050507
+0 0 0 0 0 5 5 8 49050508
+0 0 0 0 0 5 5 9 49050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 49050506
+1 0 0 0 0 5 5 1 49050507
+1 0 0 0 0 5 5 2 49050502
+1 0 0 0 0 5 5 3 49050503
+1 0 0 0 0 5 5 4 49050504
+1 0 0 0 0 5 5 5 49050505
+1 0 0 0 0 5 5 6 49050506
+1 0 0 0 0 5 5 7 49050507
+1 0 0 0 0 5 5 8 49050502
+1 0 0 0 0 5 5 9 49050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/s.xl b/CarpetAttic/Cart3dTest/test/periodic-z/s.xl
new file mode 100644
index 000000000..14e43aa3e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/s.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::s x (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 1000505
+0 0 0 0 0 1 5 5 1010505
+0 0 0 0 0 2 5 5 1020505
+0 0 0 0 0 3 5 5 1030505
+0 0 0 0 0 4 5 5 1040505
+0 0 0 0 0 5 5 5 1050505
+0 0 0 0 0 6 5 5 1060505
+0 0 0 0 0 7 5 5 1070505
+0 0 0 0 0 8 5 5 1080505
+0 0 0 0 0 9 5 5 1090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 1000505
+1 0 0 0 0 1 5 5 1010505
+1 0 0 0 0 2 5 5 1020505
+1 0 0 0 0 3 5 5 1030505
+1 0 0 0 0 4 5 5 1040505
+1 0 0 0 0 5 5 5 1050505
+1 0 0 0 0 6 5 5 1060505
+1 0 0 0 0 7 5 5 1070505
+1 0 0 0 0 8 5 5 1080505
+1 0 0 0 0 9 5 5 1090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/s.yl b/CarpetAttic/Cart3dTest/test/periodic-z/s.yl
new file mode 100644
index 000000000..a082c376e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/s.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::s y (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 1050005
+0 0 0 0 0 5 1 5 1050105
+0 0 0 0 0 5 2 5 1050205
+0 0 0 0 0 5 3 5 1050305
+0 0 0 0 0 5 4 5 1050405
+0 0 0 0 0 5 5 5 1050505
+0 0 0 0 0 5 6 5 1050605
+0 0 0 0 0 5 7 5 1050705
+0 0 0 0 0 5 8 5 1050805
+0 0 0 0 0 5 9 5 1050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 1050005
+1 0 0 0 0 5 1 5 1050105
+1 0 0 0 0 5 2 5 1050205
+1 0 0 0 0 5 3 5 1050305
+1 0 0 0 0 5 4 5 1050405
+1 0 0 0 0 5 5 5 1050505
+1 0 0 0 0 5 6 5 1050605
+1 0 0 0 0 5 7 5 1050705
+1 0 0 0 0 5 8 5 1050805
+1 0 0 0 0 5 9 5 1050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/s.zl b/CarpetAttic/Cart3dTest/test/periodic-z/s.zl
new file mode 100644
index 000000000..6735790f7
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/s.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::s z (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 1050500
+0 0 0 0 0 5 5 1 1050501
+0 0 0 0 0 5 5 2 1050502
+0 0 0 0 0 5 5 3 1050503
+0 0 0 0 0 5 5 4 1050504
+0 0 0 0 0 5 5 5 1050505
+0 0 0 0 0 5 5 6 1050506
+0 0 0 0 0 5 5 7 1050507
+0 0 0 0 0 5 5 8 1050508
+0 0 0 0 0 5 5 9 1050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 1050506
+1 0 0 0 0 5 5 1 1050507
+1 0 0 0 0 5 5 2 1050502
+1 0 0 0 0 5 5 3 1050503
+1 0 0 0 0 5 5 4 1050504
+1 0 0 0 0 5 5 5 1050505
+1 0 0 0 0 5 5 6 1050506
+1 0 0 0 0 5 5 7 1050507
+1 0 0 0 0 5 5 8 1050502
+1 0 0 0 0 5 5 9 1050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/periodic-z/spher3d_r.xl
new file mode 100644
index 000000000..b331c2bf4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/spher3d_r.xl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 1.36656503687164
+0 0 0 0 0 1 5 5 1.07121426428143
+0 0 0 0 0 2 5 5 0.779422863405995
+0 0 0 0 0 3 5 5 0.49749371855331
+0 0 0 0 0 4 5 5 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135332
+0 0 0 0 0 6 5 5 0.49749371855331
+0 0 0 0 0 7 5 5 0.779422863405995
+0 0 0 0 0 8 5 5 1.07121426428143
+0 0 0 0 0 9 5 5 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 1.36656503687164
+1 0 0 0 0 1 5 5 1.07121426428143
+1 0 0 0 0 2 5 5 0.779422863405995
+1 0 0 0 0 3 5 5 0.49749371855331
+1 0 0 0 0 4 5 5 0.259807621135332
+1 0 0 0 0 5 5 5 0.259807621135332
+1 0 0 0 0 6 5 5 0.49749371855331
+1 0 0 0 0 7 5 5 0.779422863405995
+1 0 0 0 0 8 5 5 1.07121426428143
+1 0 0 0 0 9 5 5 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/periodic-z/spher3d_r.yl
new file mode 100644
index 000000000..8ca57fd44
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/spher3d_r.yl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 1.36656503687164
+0 0 0 0 0 5 1 5 1.07121426428143
+0 0 0 0 0 5 2 5 0.779422863405995
+0 0 0 0 0 5 3 5 0.49749371855331
+0 0 0 0 0 5 4 5 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135332
+0 0 0 0 0 5 6 5 0.49749371855331
+0 0 0 0 0 5 7 5 0.779422863405995
+0 0 0 0 0 5 8 5 1.07121426428143
+0 0 0 0 0 5 9 5 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 1.36656503687164
+1 0 0 0 0 5 1 5 1.07121426428143
+1 0 0 0 0 5 2 5 0.779422863405995
+1 0 0 0 0 5 3 5 0.49749371855331
+1 0 0 0 0 5 4 5 0.259807621135332
+1 0 0 0 0 5 5 5 0.259807621135332
+1 0 0 0 0 5 6 5 0.49749371855331
+1 0 0 0 0 5 7 5 0.779422863405995
+1 0 0 0 0 5 8 5 1.07121426428143
+1 0 0 0 0 5 9 5 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/periodic-z/spher3d_r.zl
new file mode 100644
index 000000000..677631008
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/spher3d_r.zl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 1.36656503687164
+0 0 0 0 0 5 5 1 1.07121426428143
+0 0 0 0 0 5 5 2 0.779422863405995
+0 0 0 0 0 5 5 3 0.49749371855331
+0 0 0 0 0 5 5 4 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135332
+0 0 0 0 0 5 5 6 0.49749371855331
+0 0 0 0 0 5 5 7 0.779422863405995
+0 0 0 0 0 5 5 8 1.07121426428143
+0 0 0 0 0 5 5 9 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 1.36656503687164
+1 0 0 0 0 5 5 1 1.07121426428143
+1 0 0 0 0 5 5 2 0.779422863405995
+1 0 0 0 0 5 5 3 0.49749371855331
+1 0 0 0 0 5 5 4 0.259807621135332
+1 0 0 0 0 5 5 5 0.259807621135332
+1 0 0 0 0 5 5 6 0.49749371855331
+1 0 0 0 0 5 5 7 0.779422863405995
+1 0 0 0 0 5 5 8 1.07121426428143
+1 0 0 0 0 5 5 9 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/txx.xl b/CarpetAttic/Cart3dTest/test/periodic-z/txx.xl
new file mode 100644
index 000000000..ec49b7513
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/txx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx x (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 21000505
+0 0 0 0 0 1 5 5 21010505
+0 0 0 0 0 2 5 5 21020505
+0 0 0 0 0 3 5 5 21030505
+0 0 0 0 0 4 5 5 21040505
+0 0 0 0 0 5 5 5 21050505
+0 0 0 0 0 6 5 5 21060505
+0 0 0 0 0 7 5 5 21070505
+0 0 0 0 0 8 5 5 21080505
+0 0 0 0 0 9 5 5 21090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 21000505
+1 0 0 0 0 1 5 5 21010505
+1 0 0 0 0 2 5 5 21020505
+1 0 0 0 0 3 5 5 21030505
+1 0 0 0 0 4 5 5 21040505
+1 0 0 0 0 5 5 5 21050505
+1 0 0 0 0 6 5 5 21060505
+1 0 0 0 0 7 5 5 21070505
+1 0 0 0 0 8 5 5 21080505
+1 0 0 0 0 9 5 5 21090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/txx.yl b/CarpetAttic/Cart3dTest/test/periodic-z/txx.yl
new file mode 100644
index 000000000..9e35e0b71
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/txx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx y (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 21050005
+0 0 0 0 0 5 1 5 21050105
+0 0 0 0 0 5 2 5 21050205
+0 0 0 0 0 5 3 5 21050305
+0 0 0 0 0 5 4 5 21050405
+0 0 0 0 0 5 5 5 21050505
+0 0 0 0 0 5 6 5 21050605
+0 0 0 0 0 5 7 5 21050705
+0 0 0 0 0 5 8 5 21050805
+0 0 0 0 0 5 9 5 21050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 21050005
+1 0 0 0 0 5 1 5 21050105
+1 0 0 0 0 5 2 5 21050205
+1 0 0 0 0 5 3 5 21050305
+1 0 0 0 0 5 4 5 21050405
+1 0 0 0 0 5 5 5 21050505
+1 0 0 0 0 5 6 5 21050605
+1 0 0 0 0 5 7 5 21050705
+1 0 0 0 0 5 8 5 21050805
+1 0 0 0 0 5 9 5 21050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/txx.zl b/CarpetAttic/Cart3dTest/test/periodic-z/txx.zl
new file mode 100644
index 000000000..9d68b5276
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/txx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx z (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 21050500
+0 0 0 0 0 5 5 1 21050501
+0 0 0 0 0 5 5 2 21050502
+0 0 0 0 0 5 5 3 21050503
+0 0 0 0 0 5 5 4 21050504
+0 0 0 0 0 5 5 5 21050505
+0 0 0 0 0 5 5 6 21050506
+0 0 0 0 0 5 5 7 21050507
+0 0 0 0 0 5 5 8 21050508
+0 0 0 0 0 5 5 9 21050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 21050506
+1 0 0 0 0 5 5 1 21050507
+1 0 0 0 0 5 5 2 21050502
+1 0 0 0 0 5 5 3 21050503
+1 0 0 0 0 5 5 4 21050504
+1 0 0 0 0 5 5 5 21050505
+1 0 0 0 0 5 5 6 21050506
+1 0 0 0 0 5 5 7 21050507
+1 0 0 0 0 5 5 8 21050502
+1 0 0 0 0 5 5 9 21050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/txy.xl b/CarpetAttic/Cart3dTest/test/periodic-z/txy.xl
new file mode 100644
index 000000000..c0a04db3d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/txy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy x (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 22000505
+0 0 0 0 0 1 5 5 22010505
+0 0 0 0 0 2 5 5 22020505
+0 0 0 0 0 3 5 5 22030505
+0 0 0 0 0 4 5 5 22040505
+0 0 0 0 0 5 5 5 22050505
+0 0 0 0 0 6 5 5 22060505
+0 0 0 0 0 7 5 5 22070505
+0 0 0 0 0 8 5 5 22080505
+0 0 0 0 0 9 5 5 22090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 22000505
+1 0 0 0 0 1 5 5 22010505
+1 0 0 0 0 2 5 5 22020505
+1 0 0 0 0 3 5 5 22030505
+1 0 0 0 0 4 5 5 22040505
+1 0 0 0 0 5 5 5 22050505
+1 0 0 0 0 6 5 5 22060505
+1 0 0 0 0 7 5 5 22070505
+1 0 0 0 0 8 5 5 22080505
+1 0 0 0 0 9 5 5 22090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/txy.yl b/CarpetAttic/Cart3dTest/test/periodic-z/txy.yl
new file mode 100644
index 000000000..676739e59
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/txy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy y (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 22050005
+0 0 0 0 0 5 1 5 22050105
+0 0 0 0 0 5 2 5 22050205
+0 0 0 0 0 5 3 5 22050305
+0 0 0 0 0 5 4 5 22050405
+0 0 0 0 0 5 5 5 22050505
+0 0 0 0 0 5 6 5 22050605
+0 0 0 0 0 5 7 5 22050705
+0 0 0 0 0 5 8 5 22050805
+0 0 0 0 0 5 9 5 22050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 22050005
+1 0 0 0 0 5 1 5 22050105
+1 0 0 0 0 5 2 5 22050205
+1 0 0 0 0 5 3 5 22050305
+1 0 0 0 0 5 4 5 22050405
+1 0 0 0 0 5 5 5 22050505
+1 0 0 0 0 5 6 5 22050605
+1 0 0 0 0 5 7 5 22050705
+1 0 0 0 0 5 8 5 22050805
+1 0 0 0 0 5 9 5 22050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/txy.zl b/CarpetAttic/Cart3dTest/test/periodic-z/txy.zl
new file mode 100644
index 000000000..b517ac253
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/txy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy z (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 22050500
+0 0 0 0 0 5 5 1 22050501
+0 0 0 0 0 5 5 2 22050502
+0 0 0 0 0 5 5 3 22050503
+0 0 0 0 0 5 5 4 22050504
+0 0 0 0 0 5 5 5 22050505
+0 0 0 0 0 5 5 6 22050506
+0 0 0 0 0 5 5 7 22050507
+0 0 0 0 0 5 5 8 22050508
+0 0 0 0 0 5 5 9 22050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 22050506
+1 0 0 0 0 5 5 1 22050507
+1 0 0 0 0 5 5 2 22050502
+1 0 0 0 0 5 5 3 22050503
+1 0 0 0 0 5 5 4 22050504
+1 0 0 0 0 5 5 5 22050505
+1 0 0 0 0 5 5 6 22050506
+1 0 0 0 0 5 5 7 22050507
+1 0 0 0 0 5 5 8 22050502
+1 0 0 0 0 5 5 9 22050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/txz.xl b/CarpetAttic/Cart3dTest/test/periodic-z/txz.xl
new file mode 100644
index 000000000..ef056f783
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/txz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz x (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 23000505
+0 0 0 0 0 1 5 5 23010505
+0 0 0 0 0 2 5 5 23020505
+0 0 0 0 0 3 5 5 23030505
+0 0 0 0 0 4 5 5 23040505
+0 0 0 0 0 5 5 5 23050505
+0 0 0 0 0 6 5 5 23060505
+0 0 0 0 0 7 5 5 23070505
+0 0 0 0 0 8 5 5 23080505
+0 0 0 0 0 9 5 5 23090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 23000505
+1 0 0 0 0 1 5 5 23010505
+1 0 0 0 0 2 5 5 23020505
+1 0 0 0 0 3 5 5 23030505
+1 0 0 0 0 4 5 5 23040505
+1 0 0 0 0 5 5 5 23050505
+1 0 0 0 0 6 5 5 23060505
+1 0 0 0 0 7 5 5 23070505
+1 0 0 0 0 8 5 5 23080505
+1 0 0 0 0 9 5 5 23090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/txz.yl b/CarpetAttic/Cart3dTest/test/periodic-z/txz.yl
new file mode 100644
index 000000000..6e249be2d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/txz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz y (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 23050005
+0 0 0 0 0 5 1 5 23050105
+0 0 0 0 0 5 2 5 23050205
+0 0 0 0 0 5 3 5 23050305
+0 0 0 0 0 5 4 5 23050405
+0 0 0 0 0 5 5 5 23050505
+0 0 0 0 0 5 6 5 23050605
+0 0 0 0 0 5 7 5 23050705
+0 0 0 0 0 5 8 5 23050805
+0 0 0 0 0 5 9 5 23050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 23050005
+1 0 0 0 0 5 1 5 23050105
+1 0 0 0 0 5 2 5 23050205
+1 0 0 0 0 5 3 5 23050305
+1 0 0 0 0 5 4 5 23050405
+1 0 0 0 0 5 5 5 23050505
+1 0 0 0 0 5 6 5 23050605
+1 0 0 0 0 5 7 5 23050705
+1 0 0 0 0 5 8 5 23050805
+1 0 0 0 0 5 9 5 23050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/txz.zl b/CarpetAttic/Cart3dTest/test/periodic-z/txz.zl
new file mode 100644
index 000000000..cac4ebe2d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/txz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz z (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 23050500
+0 0 0 0 0 5 5 1 23050501
+0 0 0 0 0 5 5 2 23050502
+0 0 0 0 0 5 5 3 23050503
+0 0 0 0 0 5 5 4 23050504
+0 0 0 0 0 5 5 5 23050505
+0 0 0 0 0 5 5 6 23050506
+0 0 0 0 0 5 5 7 23050507
+0 0 0 0 0 5 5 8 23050508
+0 0 0 0 0 5 5 9 23050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 23050506
+1 0 0 0 0 5 5 1 23050507
+1 0 0 0 0 5 5 2 23050502
+1 0 0 0 0 5 5 3 23050503
+1 0 0 0 0 5 5 4 23050504
+1 0 0 0 0 5 5 5 23050505
+1 0 0 0 0 5 5 6 23050506
+1 0 0 0 0 5 5 7 23050507
+1 0 0 0 0 5 5 8 23050502
+1 0 0 0 0 5 5 9 23050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/tyy.xl b/CarpetAttic/Cart3dTest/test/periodic-z/tyy.xl
new file mode 100644
index 000000000..6a8ea71c4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/tyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy x (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 24000505
+0 0 0 0 0 1 5 5 24010505
+0 0 0 0 0 2 5 5 24020505
+0 0 0 0 0 3 5 5 24030505
+0 0 0 0 0 4 5 5 24040505
+0 0 0 0 0 5 5 5 24050505
+0 0 0 0 0 6 5 5 24060505
+0 0 0 0 0 7 5 5 24070505
+0 0 0 0 0 8 5 5 24080505
+0 0 0 0 0 9 5 5 24090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 24000505
+1 0 0 0 0 1 5 5 24010505
+1 0 0 0 0 2 5 5 24020505
+1 0 0 0 0 3 5 5 24030505
+1 0 0 0 0 4 5 5 24040505
+1 0 0 0 0 5 5 5 24050505
+1 0 0 0 0 6 5 5 24060505
+1 0 0 0 0 7 5 5 24070505
+1 0 0 0 0 8 5 5 24080505
+1 0 0 0 0 9 5 5 24090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/tyy.yl b/CarpetAttic/Cart3dTest/test/periodic-z/tyy.yl
new file mode 100644
index 000000000..e84597fa8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/tyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy y (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 24050005
+0 0 0 0 0 5 1 5 24050105
+0 0 0 0 0 5 2 5 24050205
+0 0 0 0 0 5 3 5 24050305
+0 0 0 0 0 5 4 5 24050405
+0 0 0 0 0 5 5 5 24050505
+0 0 0 0 0 5 6 5 24050605
+0 0 0 0 0 5 7 5 24050705
+0 0 0 0 0 5 8 5 24050805
+0 0 0 0 0 5 9 5 24050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 24050005
+1 0 0 0 0 5 1 5 24050105
+1 0 0 0 0 5 2 5 24050205
+1 0 0 0 0 5 3 5 24050305
+1 0 0 0 0 5 4 5 24050405
+1 0 0 0 0 5 5 5 24050505
+1 0 0 0 0 5 6 5 24050605
+1 0 0 0 0 5 7 5 24050705
+1 0 0 0 0 5 8 5 24050805
+1 0 0 0 0 5 9 5 24050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/tyy.zl b/CarpetAttic/Cart3dTest/test/periodic-z/tyy.zl
new file mode 100644
index 000000000..0142d96f9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/tyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy z (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 24050500
+0 0 0 0 0 5 5 1 24050501
+0 0 0 0 0 5 5 2 24050502
+0 0 0 0 0 5 5 3 24050503
+0 0 0 0 0 5 5 4 24050504
+0 0 0 0 0 5 5 5 24050505
+0 0 0 0 0 5 5 6 24050506
+0 0 0 0 0 5 5 7 24050507
+0 0 0 0 0 5 5 8 24050508
+0 0 0 0 0 5 5 9 24050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 24050506
+1 0 0 0 0 5 5 1 24050507
+1 0 0 0 0 5 5 2 24050502
+1 0 0 0 0 5 5 3 24050503
+1 0 0 0 0 5 5 4 24050504
+1 0 0 0 0 5 5 5 24050505
+1 0 0 0 0 5 5 6 24050506
+1 0 0 0 0 5 5 7 24050507
+1 0 0 0 0 5 5 8 24050502
+1 0 0 0 0 5 5 9 24050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/tyz.xl b/CarpetAttic/Cart3dTest/test/periodic-z/tyz.xl
new file mode 100644
index 000000000..011e5ce29
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/tyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz x (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 25000505
+0 0 0 0 0 1 5 5 25010505
+0 0 0 0 0 2 5 5 25020505
+0 0 0 0 0 3 5 5 25030505
+0 0 0 0 0 4 5 5 25040505
+0 0 0 0 0 5 5 5 25050505
+0 0 0 0 0 6 5 5 25060505
+0 0 0 0 0 7 5 5 25070505
+0 0 0 0 0 8 5 5 25080505
+0 0 0 0 0 9 5 5 25090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 25000505
+1 0 0 0 0 1 5 5 25010505
+1 0 0 0 0 2 5 5 25020505
+1 0 0 0 0 3 5 5 25030505
+1 0 0 0 0 4 5 5 25040505
+1 0 0 0 0 5 5 5 25050505
+1 0 0 0 0 6 5 5 25060505
+1 0 0 0 0 7 5 5 25070505
+1 0 0 0 0 8 5 5 25080505
+1 0 0 0 0 9 5 5 25090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/tyz.yl b/CarpetAttic/Cart3dTest/test/periodic-z/tyz.yl
new file mode 100644
index 000000000..68ca06705
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/tyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz y (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 25050005
+0 0 0 0 0 5 1 5 25050105
+0 0 0 0 0 5 2 5 25050205
+0 0 0 0 0 5 3 5 25050305
+0 0 0 0 0 5 4 5 25050405
+0 0 0 0 0 5 5 5 25050505
+0 0 0 0 0 5 6 5 25050605
+0 0 0 0 0 5 7 5 25050705
+0 0 0 0 0 5 8 5 25050805
+0 0 0 0 0 5 9 5 25050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 25050005
+1 0 0 0 0 5 1 5 25050105
+1 0 0 0 0 5 2 5 25050205
+1 0 0 0 0 5 3 5 25050305
+1 0 0 0 0 5 4 5 25050405
+1 0 0 0 0 5 5 5 25050505
+1 0 0 0 0 5 6 5 25050605
+1 0 0 0 0 5 7 5 25050705
+1 0 0 0 0 5 8 5 25050805
+1 0 0 0 0 5 9 5 25050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/tyz.zl b/CarpetAttic/Cart3dTest/test/periodic-z/tyz.zl
new file mode 100644
index 000000000..2141b37d3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/tyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz z (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 25050500
+0 0 0 0 0 5 5 1 25050501
+0 0 0 0 0 5 5 2 25050502
+0 0 0 0 0 5 5 3 25050503
+0 0 0 0 0 5 5 4 25050504
+0 0 0 0 0 5 5 5 25050505
+0 0 0 0 0 5 5 6 25050506
+0 0 0 0 0 5 5 7 25050507
+0 0 0 0 0 5 5 8 25050508
+0 0 0 0 0 5 5 9 25050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 25050506
+1 0 0 0 0 5 5 1 25050507
+1 0 0 0 0 5 5 2 25050502
+1 0 0 0 0 5 5 3 25050503
+1 0 0 0 0 5 5 4 25050504
+1 0 0 0 0 5 5 5 25050505
+1 0 0 0 0 5 5 6 25050506
+1 0 0 0 0 5 5 7 25050507
+1 0 0 0 0 5 5 8 25050502
+1 0 0 0 0 5 5 9 25050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/tzz.xl b/CarpetAttic/Cart3dTest/test/periodic-z/tzz.xl
new file mode 100644
index 000000000..0035c4de3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/tzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz x (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 26000505
+0 0 0 0 0 1 5 5 26010505
+0 0 0 0 0 2 5 5 26020505
+0 0 0 0 0 3 5 5 26030505
+0 0 0 0 0 4 5 5 26040505
+0 0 0 0 0 5 5 5 26050505
+0 0 0 0 0 6 5 5 26060505
+0 0 0 0 0 7 5 5 26070505
+0 0 0 0 0 8 5 5 26080505
+0 0 0 0 0 9 5 5 26090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 26000505
+1 0 0 0 0 1 5 5 26010505
+1 0 0 0 0 2 5 5 26020505
+1 0 0 0 0 3 5 5 26030505
+1 0 0 0 0 4 5 5 26040505
+1 0 0 0 0 5 5 5 26050505
+1 0 0 0 0 6 5 5 26060505
+1 0 0 0 0 7 5 5 26070505
+1 0 0 0 0 8 5 5 26080505
+1 0 0 0 0 9 5 5 26090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/tzz.yl b/CarpetAttic/Cart3dTest/test/periodic-z/tzz.yl
new file mode 100644
index 000000000..88ab8faba
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/tzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz y (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 26050005
+0 0 0 0 0 5 1 5 26050105
+0 0 0 0 0 5 2 5 26050205
+0 0 0 0 0 5 3 5 26050305
+0 0 0 0 0 5 4 5 26050405
+0 0 0 0 0 5 5 5 26050505
+0 0 0 0 0 5 6 5 26050605
+0 0 0 0 0 5 7 5 26050705
+0 0 0 0 0 5 8 5 26050805
+0 0 0 0 0 5 9 5 26050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 26050005
+1 0 0 0 0 5 1 5 26050105
+1 0 0 0 0 5 2 5 26050205
+1 0 0 0 0 5 3 5 26050305
+1 0 0 0 0 5 4 5 26050405
+1 0 0 0 0 5 5 5 26050505
+1 0 0 0 0 5 6 5 26050605
+1 0 0 0 0 5 7 5 26050705
+1 0 0 0 0 5 8 5 26050805
+1 0 0 0 0 5 9 5 26050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/tzz.zl b/CarpetAttic/Cart3dTest/test/periodic-z/tzz.zl
new file mode 100644
index 000000000..7687b70da
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/tzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz z (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 26050500
+0 0 0 0 0 5 5 1 26050501
+0 0 0 0 0 5 5 2 26050502
+0 0 0 0 0 5 5 3 26050503
+0 0 0 0 0 5 5 4 26050504
+0 0 0 0 0 5 5 5 26050505
+0 0 0 0 0 5 5 6 26050506
+0 0 0 0 0 5 5 7 26050507
+0 0 0 0 0 5 5 8 26050508
+0 0 0 0 0 5 5 9 26050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 26050506
+1 0 0 0 0 5 5 1 26050507
+1 0 0 0 0 5 5 2 26050502
+1 0 0 0 0 5 5 3 26050503
+1 0 0 0 0 5 5 4 26050504
+1 0 0 0 0 5 5 5 26050505
+1 0 0 0 0 5 5 6 26050506
+1 0 0 0 0 5 5 7 26050507
+1 0 0 0 0 5 5 8 26050502
+1 0 0 0 0 5 5 9 26050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/vx.xl b/CarpetAttic/Cart3dTest/test/periodic-z/vx.xl
new file mode 100644
index 000000000..d4dafe57f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/vx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 11000505
+0 0 0 0 0 1 5 5 11010505
+0 0 0 0 0 2 5 5 11020505
+0 0 0 0 0 3 5 5 11030505
+0 0 0 0 0 4 5 5 11040505
+0 0 0 0 0 5 5 5 11050505
+0 0 0 0 0 6 5 5 11060505
+0 0 0 0 0 7 5 5 11070505
+0 0 0 0 0 8 5 5 11080505
+0 0 0 0 0 9 5 5 11090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 11000505
+1 0 0 0 0 1 5 5 11010505
+1 0 0 0 0 2 5 5 11020505
+1 0 0 0 0 3 5 5 11030505
+1 0 0 0 0 4 5 5 11040505
+1 0 0 0 0 5 5 5 11050505
+1 0 0 0 0 6 5 5 11060505
+1 0 0 0 0 7 5 5 11070505
+1 0 0 0 0 8 5 5 11080505
+1 0 0 0 0 9 5 5 11090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/vx.yl b/CarpetAttic/Cart3dTest/test/periodic-z/vx.yl
new file mode 100644
index 000000000..198564f76
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/vx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 11050005
+0 0 0 0 0 5 1 5 11050105
+0 0 0 0 0 5 2 5 11050205
+0 0 0 0 0 5 3 5 11050305
+0 0 0 0 0 5 4 5 11050405
+0 0 0 0 0 5 5 5 11050505
+0 0 0 0 0 5 6 5 11050605
+0 0 0 0 0 5 7 5 11050705
+0 0 0 0 0 5 8 5 11050805
+0 0 0 0 0 5 9 5 11050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 11050005
+1 0 0 0 0 5 1 5 11050105
+1 0 0 0 0 5 2 5 11050205
+1 0 0 0 0 5 3 5 11050305
+1 0 0 0 0 5 4 5 11050405
+1 0 0 0 0 5 5 5 11050505
+1 0 0 0 0 5 6 5 11050605
+1 0 0 0 0 5 7 5 11050705
+1 0 0 0 0 5 8 5 11050805
+1 0 0 0 0 5 9 5 11050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/vx.zl b/CarpetAttic/Cart3dTest/test/periodic-z/vx.zl
new file mode 100644
index 000000000..233bb7a3d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/vx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 11050500
+0 0 0 0 0 5 5 1 11050501
+0 0 0 0 0 5 5 2 11050502
+0 0 0 0 0 5 5 3 11050503
+0 0 0 0 0 5 5 4 11050504
+0 0 0 0 0 5 5 5 11050505
+0 0 0 0 0 5 5 6 11050506
+0 0 0 0 0 5 5 7 11050507
+0 0 0 0 0 5 5 8 11050508
+0 0 0 0 0 5 5 9 11050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 11050506
+1 0 0 0 0 5 5 1 11050507
+1 0 0 0 0 5 5 2 11050502
+1 0 0 0 0 5 5 3 11050503
+1 0 0 0 0 5 5 4 11050504
+1 0 0 0 0 5 5 5 11050505
+1 0 0 0 0 5 5 6 11050506
+1 0 0 0 0 5 5 7 11050507
+1 0 0 0 0 5 5 8 11050502
+1 0 0 0 0 5 5 9 11050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/vy.xl b/CarpetAttic/Cart3dTest/test/periodic-z/vy.xl
new file mode 100644
index 000000000..487f382f4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/vy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 12000505
+0 0 0 0 0 1 5 5 12010505
+0 0 0 0 0 2 5 5 12020505
+0 0 0 0 0 3 5 5 12030505
+0 0 0 0 0 4 5 5 12040505
+0 0 0 0 0 5 5 5 12050505
+0 0 0 0 0 6 5 5 12060505
+0 0 0 0 0 7 5 5 12070505
+0 0 0 0 0 8 5 5 12080505
+0 0 0 0 0 9 5 5 12090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 12000505
+1 0 0 0 0 1 5 5 12010505
+1 0 0 0 0 2 5 5 12020505
+1 0 0 0 0 3 5 5 12030505
+1 0 0 0 0 4 5 5 12040505
+1 0 0 0 0 5 5 5 12050505
+1 0 0 0 0 6 5 5 12060505
+1 0 0 0 0 7 5 5 12070505
+1 0 0 0 0 8 5 5 12080505
+1 0 0 0 0 9 5 5 12090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/vy.yl b/CarpetAttic/Cart3dTest/test/periodic-z/vy.yl
new file mode 100644
index 000000000..47c58e06a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/vy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 12050005
+0 0 0 0 0 5 1 5 12050105
+0 0 0 0 0 5 2 5 12050205
+0 0 0 0 0 5 3 5 12050305
+0 0 0 0 0 5 4 5 12050405
+0 0 0 0 0 5 5 5 12050505
+0 0 0 0 0 5 6 5 12050605
+0 0 0 0 0 5 7 5 12050705
+0 0 0 0 0 5 8 5 12050805
+0 0 0 0 0 5 9 5 12050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 12050005
+1 0 0 0 0 5 1 5 12050105
+1 0 0 0 0 5 2 5 12050205
+1 0 0 0 0 5 3 5 12050305
+1 0 0 0 0 5 4 5 12050405
+1 0 0 0 0 5 5 5 12050505
+1 0 0 0 0 5 6 5 12050605
+1 0 0 0 0 5 7 5 12050705
+1 0 0 0 0 5 8 5 12050805
+1 0 0 0 0 5 9 5 12050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/vy.zl b/CarpetAttic/Cart3dTest/test/periodic-z/vy.zl
new file mode 100644
index 000000000..9f158aa08
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/vy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 12050500
+0 0 0 0 0 5 5 1 12050501
+0 0 0 0 0 5 5 2 12050502
+0 0 0 0 0 5 5 3 12050503
+0 0 0 0 0 5 5 4 12050504
+0 0 0 0 0 5 5 5 12050505
+0 0 0 0 0 5 5 6 12050506
+0 0 0 0 0 5 5 7 12050507
+0 0 0 0 0 5 5 8 12050508
+0 0 0 0 0 5 5 9 12050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 12050506
+1 0 0 0 0 5 5 1 12050507
+1 0 0 0 0 5 5 2 12050502
+1 0 0 0 0 5 5 3 12050503
+1 0 0 0 0 5 5 4 12050504
+1 0 0 0 0 5 5 5 12050505
+1 0 0 0 0 5 5 6 12050506
+1 0 0 0 0 5 5 7 12050507
+1 0 0 0 0 5 5 8 12050502
+1 0 0 0 0 5 5 9 12050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/vz.xl b/CarpetAttic/Cart3dTest/test/periodic-z/vz.xl
new file mode 100644
index 000000000..7385d5001
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/vz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 13000505
+0 0 0 0 0 1 5 5 13010505
+0 0 0 0 0 2 5 5 13020505
+0 0 0 0 0 3 5 5 13030505
+0 0 0 0 0 4 5 5 13040505
+0 0 0 0 0 5 5 5 13050505
+0 0 0 0 0 6 5 5 13060505
+0 0 0 0 0 7 5 5 13070505
+0 0 0 0 0 8 5 5 13080505
+0 0 0 0 0 9 5 5 13090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 13000505
+1 0 0 0 0 1 5 5 13010505
+1 0 0 0 0 2 5 5 13020505
+1 0 0 0 0 3 5 5 13030505
+1 0 0 0 0 4 5 5 13040505
+1 0 0 0 0 5 5 5 13050505
+1 0 0 0 0 6 5 5 13060505
+1 0 0 0 0 7 5 5 13070505
+1 0 0 0 0 8 5 5 13080505
+1 0 0 0 0 9 5 5 13090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/vz.yl b/CarpetAttic/Cart3dTest/test/periodic-z/vz.yl
new file mode 100644
index 000000000..b19d78d54
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/vz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 13050005
+0 0 0 0 0 5 1 5 13050105
+0 0 0 0 0 5 2 5 13050205
+0 0 0 0 0 5 3 5 13050305
+0 0 0 0 0 5 4 5 13050405
+0 0 0 0 0 5 5 5 13050505
+0 0 0 0 0 5 6 5 13050605
+0 0 0 0 0 5 7 5 13050705
+0 0 0 0 0 5 8 5 13050805
+0 0 0 0 0 5 9 5 13050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 13050005
+1 0 0 0 0 5 1 5 13050105
+1 0 0 0 0 5 2 5 13050205
+1 0 0 0 0 5 3 5 13050305
+1 0 0 0 0 5 4 5 13050405
+1 0 0 0 0 5 5 5 13050505
+1 0 0 0 0 5 6 5 13050605
+1 0 0 0 0 5 7 5 13050705
+1 0 0 0 0 5 8 5 13050805
+1 0 0 0 0 5 9 5 13050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic-z/vz.zl b/CarpetAttic/Cart3dTest/test/periodic-z/vz.zl
new file mode 100644
index 000000000..34c262e57
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic-z/vz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 13050500
+0 0 0 0 0 5 5 1 13050501
+0 0 0 0 0 5 5 2 13050502
+0 0 0 0 0 5 5 3 13050503
+0 0 0 0 0 5 5 4 13050504
+0 0 0 0 0 5 5 5 13050505
+0 0 0 0 0 5 5 6 13050506
+0 0 0 0 0 5 5 7 13050507
+0 0 0 0 0 5 5 8 13050508
+0 0 0 0 0 5 5 9 13050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 13050506
+1 0 0 0 0 5 5 1 13050507
+1 0 0 0 0 5 5 2 13050502
+1 0 0 0 0 5 5 3 13050503
+1 0 0 0 0 5 5 4 13050504
+1 0 0 0 0 5 5 5 13050505
+1 0 0 0 0 5 5 6 13050506
+1 0 0 0 0 5 5 7 13050507
+1 0 0 0 0 5 5 8 13050502
+1 0 0 0 0 5 5 9 13050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic.log b/CarpetAttic/Cart3dTest/test/periodic.log
new file mode 100644
index 000000000..8b02f3bdb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic.log
@@ -0,0 +1,81 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/periodic.par b/CarpetAttic/Cart3dTest/test/periodic.par
new file mode 100644
index 000000000..a3d9ab5ce
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic.par
@@ -0,0 +1,17 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/periodic.par,v 1.4 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 1
+
+grid::type = "byspacing"
+grid::mode = "periodic"
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "periodic"
+IOASCII::out1D_vars = "grid::coordinates Cart3dTest::quantities"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/periodic/ax.xl b/CarpetAttic/Cart3dTest/test/periodic/ax.xl
new file mode 100644
index 000000000..a6dd976ff
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/ax.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax x (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 31000505
+0 0 0 0 0 1 5 5 31010505
+0 0 0 0 0 2 5 5 31020505
+0 0 0 0 0 3 5 5 31030505
+0 0 0 0 0 4 5 5 31040505
+0 0 0 0 0 5 5 5 31050505
+0 0 0 0 0 6 5 5 31060505
+0 0 0 0 0 7 5 5 31070505
+0 0 0 0 0 8 5 5 31080505
+0 0 0 0 0 9 5 5 31090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 31000505
+1 0 0 0 0 1 5 5 31010505
+1 0 0 0 0 2 5 5 31020505
+1 0 0 0 0 3 5 5 31030505
+1 0 0 0 0 4 5 5 31040505
+1 0 0 0 0 5 5 5 31050505
+1 0 0 0 0 6 5 5 31060505
+1 0 0 0 0 7 5 5 31070505
+1 0 0 0 0 8 5 5 31080505
+1 0 0 0 0 9 5 5 31090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/ax.yl b/CarpetAttic/Cart3dTest/test/periodic/ax.yl
new file mode 100644
index 000000000..dcb3173aa
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/ax.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax y (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 31050005
+0 0 0 0 0 5 1 5 31050105
+0 0 0 0 0 5 2 5 31050205
+0 0 0 0 0 5 3 5 31050305
+0 0 0 0 0 5 4 5 31050405
+0 0 0 0 0 5 5 5 31050505
+0 0 0 0 0 5 6 5 31050605
+0 0 0 0 0 5 7 5 31050705
+0 0 0 0 0 5 8 5 31050805
+0 0 0 0 0 5 9 5 31050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 31050805
+1 0 0 0 0 5 1 5 31050105
+1 0 0 0 0 5 2 5 31050205
+1 0 0 0 0 5 3 5 31050305
+1 0 0 0 0 5 4 5 31050405
+1 0 0 0 0 5 5 5 31050505
+1 0 0 0 0 5 6 5 31050605
+1 0 0 0 0 5 7 5 31050705
+1 0 0 0 0 5 8 5 31050805
+1 0 0 0 0 5 9 5 31050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/ax.zl b/CarpetAttic/Cart3dTest/test/periodic/ax.zl
new file mode 100644
index 000000000..d8ddff9e5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/ax.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax z (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 31050500
+0 0 0 0 0 5 5 1 31050501
+0 0 0 0 0 5 5 2 31050502
+0 0 0 0 0 5 5 3 31050503
+0 0 0 0 0 5 5 4 31050504
+0 0 0 0 0 5 5 5 31050505
+0 0 0 0 0 5 5 6 31050506
+0 0 0 0 0 5 5 7 31050507
+0 0 0 0 0 5 5 8 31050508
+0 0 0 0 0 5 5 9 31050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 31050506
+1 0 0 0 0 5 5 1 31050507
+1 0 0 0 0 5 5 2 31050502
+1 0 0 0 0 5 5 3 31050503
+1 0 0 0 0 5 5 4 31050504
+1 0 0 0 0 5 5 5 31050505
+1 0 0 0 0 5 5 6 31050506
+1 0 0 0 0 5 5 7 31050507
+1 0 0 0 0 5 5 8 31050502
+1 0 0 0 0 5 5 9 31050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/ay.xl b/CarpetAttic/Cart3dTest/test/periodic/ay.xl
new file mode 100644
index 000000000..d98eb4ea0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/ay.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay x (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 32000505
+0 0 0 0 0 1 5 5 32010505
+0 0 0 0 0 2 5 5 32020505
+0 0 0 0 0 3 5 5 32030505
+0 0 0 0 0 4 5 5 32040505
+0 0 0 0 0 5 5 5 32050505
+0 0 0 0 0 6 5 5 32060505
+0 0 0 0 0 7 5 5 32070505
+0 0 0 0 0 8 5 5 32080505
+0 0 0 0 0 9 5 5 32090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 32000505
+1 0 0 0 0 1 5 5 32010505
+1 0 0 0 0 2 5 5 32020505
+1 0 0 0 0 3 5 5 32030505
+1 0 0 0 0 4 5 5 32040505
+1 0 0 0 0 5 5 5 32050505
+1 0 0 0 0 6 5 5 32060505
+1 0 0 0 0 7 5 5 32070505
+1 0 0 0 0 8 5 5 32080505
+1 0 0 0 0 9 5 5 32090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/ay.yl b/CarpetAttic/Cart3dTest/test/periodic/ay.yl
new file mode 100644
index 000000000..fdd881e3f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/ay.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay y (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 32050005
+0 0 0 0 0 5 1 5 32050105
+0 0 0 0 0 5 2 5 32050205
+0 0 0 0 0 5 3 5 32050305
+0 0 0 0 0 5 4 5 32050405
+0 0 0 0 0 5 5 5 32050505
+0 0 0 0 0 5 6 5 32050605
+0 0 0 0 0 5 7 5 32050705
+0 0 0 0 0 5 8 5 32050805
+0 0 0 0 0 5 9 5 32050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 32050805
+1 0 0 0 0 5 1 5 32050105
+1 0 0 0 0 5 2 5 32050205
+1 0 0 0 0 5 3 5 32050305
+1 0 0 0 0 5 4 5 32050405
+1 0 0 0 0 5 5 5 32050505
+1 0 0 0 0 5 6 5 32050605
+1 0 0 0 0 5 7 5 32050705
+1 0 0 0 0 5 8 5 32050805
+1 0 0 0 0 5 9 5 32050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/ay.zl b/CarpetAttic/Cart3dTest/test/periodic/ay.zl
new file mode 100644
index 000000000..fff87a090
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/ay.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay z (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 32050500
+0 0 0 0 0 5 5 1 32050501
+0 0 0 0 0 5 5 2 32050502
+0 0 0 0 0 5 5 3 32050503
+0 0 0 0 0 5 5 4 32050504
+0 0 0 0 0 5 5 5 32050505
+0 0 0 0 0 5 5 6 32050506
+0 0 0 0 0 5 5 7 32050507
+0 0 0 0 0 5 5 8 32050508
+0 0 0 0 0 5 5 9 32050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 32050506
+1 0 0 0 0 5 5 1 32050507
+1 0 0 0 0 5 5 2 32050502
+1 0 0 0 0 5 5 3 32050503
+1 0 0 0 0 5 5 4 32050504
+1 0 0 0 0 5 5 5 32050505
+1 0 0 0 0 5 5 6 32050506
+1 0 0 0 0 5 5 7 32050507
+1 0 0 0 0 5 5 8 32050502
+1 0 0 0 0 5 5 9 32050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/az.xl b/CarpetAttic/Cart3dTest/test/periodic/az.xl
new file mode 100644
index 000000000..9c2733464
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/az.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::az x (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 33000505
+0 0 0 0 0 1 5 5 33010505
+0 0 0 0 0 2 5 5 33020505
+0 0 0 0 0 3 5 5 33030505
+0 0 0 0 0 4 5 5 33040505
+0 0 0 0 0 5 5 5 33050505
+0 0 0 0 0 6 5 5 33060505
+0 0 0 0 0 7 5 5 33070505
+0 0 0 0 0 8 5 5 33080505
+0 0 0 0 0 9 5 5 33090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 33000505
+1 0 0 0 0 1 5 5 33010505
+1 0 0 0 0 2 5 5 33020505
+1 0 0 0 0 3 5 5 33030505
+1 0 0 0 0 4 5 5 33040505
+1 0 0 0 0 5 5 5 33050505
+1 0 0 0 0 6 5 5 33060505
+1 0 0 0 0 7 5 5 33070505
+1 0 0 0 0 8 5 5 33080505
+1 0 0 0 0 9 5 5 33090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/az.yl b/CarpetAttic/Cart3dTest/test/periodic/az.yl
new file mode 100644
index 000000000..961dd75d1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/az.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::az y (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 33050005
+0 0 0 0 0 5 1 5 33050105
+0 0 0 0 0 5 2 5 33050205
+0 0 0 0 0 5 3 5 33050305
+0 0 0 0 0 5 4 5 33050405
+0 0 0 0 0 5 5 5 33050505
+0 0 0 0 0 5 6 5 33050605
+0 0 0 0 0 5 7 5 33050705
+0 0 0 0 0 5 8 5 33050805
+0 0 0 0 0 5 9 5 33050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 33050805
+1 0 0 0 0 5 1 5 33050105
+1 0 0 0 0 5 2 5 33050205
+1 0 0 0 0 5 3 5 33050305
+1 0 0 0 0 5 4 5 33050405
+1 0 0 0 0 5 5 5 33050505
+1 0 0 0 0 5 6 5 33050605
+1 0 0 0 0 5 7 5 33050705
+1 0 0 0 0 5 8 5 33050805
+1 0 0 0 0 5 9 5 33050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/az.zl b/CarpetAttic/Cart3dTest/test/periodic/az.zl
new file mode 100644
index 000000000..c25f07cd1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/az.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::az z (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 33050500
+0 0 0 0 0 5 5 1 33050501
+0 0 0 0 0 5 5 2 33050502
+0 0 0 0 0 5 5 3 33050503
+0 0 0 0 0 5 5 4 33050504
+0 0 0 0 0 5 5 5 33050505
+0 0 0 0 0 5 5 6 33050506
+0 0 0 0 0 5 5 7 33050507
+0 0 0 0 0 5 5 8 33050508
+0 0 0 0 0 5 5 9 33050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 33050506
+1 0 0 0 0 5 5 1 33050507
+1 0 0 0 0 5 5 2 33050502
+1 0 0 0 0 5 5 3 33050503
+1 0 0 0 0 5 5 4 33050504
+1 0 0 0 0 5 5 5 33050505
+1 0 0 0 0 5 5 6 33050506
+1 0 0 0 0 5 5 7 33050507
+1 0 0 0 0 5 5 8 33050502
+1 0 0 0 0 5 5 9 33050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/periodic/cart3d_x.xl
new file mode 100644
index 000000000..22e840206
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/cart3d_x.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 -1.35
+0 0 0 0 0 1 5 5 -1.05
+0 0 0 0 0 2 5 5 -0.75
+0 0 0 0 0 3 5 5 -0.45
+0 0 0 0 0 4 5 5 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.45
+0 0 0 0 0 7 5 5 0.75
+0 0 0 0 0 8 5 5 1.05
+0 0 0 0 0 9 5 5 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 -1.35
+1 0 0 0 0 1 5 5 -1.05
+1 0 0 0 0 2 5 5 -0.75
+1 0 0 0 0 3 5 5 -0.45
+1 0 0 0 0 4 5 5 -0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 6 5 5 0.45
+1 0 0 0 0 7 5 5 0.75
+1 0 0 0 0 8 5 5 1.05
+1 0 0 0 0 9 5 5 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/periodic/cart3d_x.yl
new file mode 100644
index 000000000..592815c82
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/cart3d_x.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 2 5 0.15
+0 0 0 0 0 5 3 5 0.15
+0 0 0 0 0 5 4 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.15
+0 0 0 0 0 5 7 5 0.15
+0 0 0 0 0 5 8 5 0.15
+0 0 0 0 0 5 9 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 5 2 5 0.15
+1 0 0 0 0 5 3 5 0.15
+1 0 0 0 0 5 4 5 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 6 5 0.15
+1 0 0 0 0 5 7 5 0.15
+1 0 0 0 0 5 8 5 0.15
+1 0 0 0 0 5 9 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/periodic/cart3d_x.zl
new file mode 100644
index 000000000..1f894853b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/cart3d_x.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.15
+0 0 0 0 0 5 5 1 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 5 3 0.15
+0 0 0 0 0 5 5 4 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.15
+0 0 0 0 0 5 5 7 0.15
+0 0 0 0 0 5 5 8 0.15
+0 0 0 0 0 5 5 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 0.15
+1 0 0 0 0 5 5 1 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 5 3 0.15
+1 0 0 0 0 5 5 4 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 5 6 0.15
+1 0 0 0 0 5 5 7 0.15
+1 0 0 0 0 5 5 8 0.15
+1 0 0 0 0 5 5 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/periodic/cart3d_y.xl
new file mode 100644
index 000000000..8ee8190c4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/cart3d_y.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 1 5 5 0.15
+0 0 0 0 0 2 5 5 0.15
+0 0 0 0 0 3 5 5 0.15
+0 0 0 0 0 4 5 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.15
+0 0 0 0 0 7 5 5 0.15
+0 0 0 0 0 8 5 5 0.15
+0 0 0 0 0 9 5 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 1 5 5 0.15
+1 0 0 0 0 2 5 5 0.15
+1 0 0 0 0 3 5 5 0.15
+1 0 0 0 0 4 5 5 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 6 5 5 0.15
+1 0 0 0 0 7 5 5 0.15
+1 0 0 0 0 8 5 5 0.15
+1 0 0 0 0 9 5 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/periodic/cart3d_y.yl
new file mode 100644
index 000000000..aec69999e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/cart3d_y.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 -1.35
+0 0 0 0 0 5 1 5 -1.05
+0 0 0 0 0 5 2 5 -0.75
+0 0 0 0 0 5 3 5 -0.45
+0 0 0 0 0 5 4 5 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.45
+0 0 0 0 0 5 7 5 0.75
+0 0 0 0 0 5 8 5 1.05
+0 0 0 0 0 5 9 5 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 -1.35
+1 0 0 0 0 5 1 5 -1.05
+1 0 0 0 0 5 2 5 -0.75
+1 0 0 0 0 5 3 5 -0.45
+1 0 0 0 0 5 4 5 -0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 6 5 0.45
+1 0 0 0 0 5 7 5 0.75
+1 0 0 0 0 5 8 5 1.05
+1 0 0 0 0 5 9 5 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/periodic/cart3d_y.zl
new file mode 100644
index 000000000..f32f3acb9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/cart3d_y.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.15
+0 0 0 0 0 5 5 1 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 5 3 0.15
+0 0 0 0 0 5 5 4 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.15
+0 0 0 0 0 5 5 7 0.15
+0 0 0 0 0 5 5 8 0.15
+0 0 0 0 0 5 5 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 0.15
+1 0 0 0 0 5 5 1 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 5 3 0.15
+1 0 0 0 0 5 5 4 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 5 6 0.15
+1 0 0 0 0 5 5 7 0.15
+1 0 0 0 0 5 5 8 0.15
+1 0 0 0 0 5 5 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/periodic/cart3d_z.xl
new file mode 100644
index 000000000..400b19f39
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/cart3d_z.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 1 5 5 0.15
+0 0 0 0 0 2 5 5 0.15
+0 0 0 0 0 3 5 5 0.15
+0 0 0 0 0 4 5 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.15
+0 0 0 0 0 7 5 5 0.15
+0 0 0 0 0 8 5 5 0.15
+0 0 0 0 0 9 5 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 1 5 5 0.15
+1 0 0 0 0 2 5 5 0.15
+1 0 0 0 0 3 5 5 0.15
+1 0 0 0 0 4 5 5 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 6 5 5 0.15
+1 0 0 0 0 7 5 5 0.15
+1 0 0 0 0 8 5 5 0.15
+1 0 0 0 0 9 5 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/periodic/cart3d_z.yl
new file mode 100644
index 000000000..0373176c5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/cart3d_z.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 2 5 0.15
+0 0 0 0 0 5 3 5 0.15
+0 0 0 0 0 5 4 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.15
+0 0 0 0 0 5 7 5 0.15
+0 0 0 0 0 5 8 5 0.15
+0 0 0 0 0 5 9 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 5 2 5 0.15
+1 0 0 0 0 5 3 5 0.15
+1 0 0 0 0 5 4 5 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 6 5 0.15
+1 0 0 0 0 5 7 5 0.15
+1 0 0 0 0 5 8 5 0.15
+1 0 0 0 0 5 9 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/periodic/cart3d_z.zl
new file mode 100644
index 000000000..6fd48c20b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/cart3d_z.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 -1.35
+0 0 0 0 0 5 5 1 -1.05
+0 0 0 0 0 5 5 2 -0.75
+0 0 0 0 0 5 5 3 -0.45
+0 0 0 0 0 5 5 4 -0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.45
+0 0 0 0 0 5 5 7 0.75
+0 0 0 0 0 5 5 8 1.05
+0 0 0 0 0 5 5 9 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -1.35
+1 0 0 0 0 5 5 1 -1.05
+1 0 0 0 0 5 5 2 -0.75
+1 0 0 0 0 5 5 3 -0.45
+1 0 0 0 0 5 5 4 -0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 5 6 0.45
+1 0 0 0 0 5 5 7 0.75
+1 0 0 0 0 5 5 8 1.05
+1 0 0 0 0 5 5 9 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fxx.xl b/CarpetAttic/Cart3dTest/test/periodic/fxx.xl
new file mode 100644
index 000000000..f4e4dc8fd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fxx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx x (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 41000505
+0 0 0 0 0 1 5 5 41010505
+0 0 0 0 0 2 5 5 41020505
+0 0 0 0 0 3 5 5 41030505
+0 0 0 0 0 4 5 5 41040505
+0 0 0 0 0 5 5 5 41050505
+0 0 0 0 0 6 5 5 41060505
+0 0 0 0 0 7 5 5 41070505
+0 0 0 0 0 8 5 5 41080505
+0 0 0 0 0 9 5 5 41090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 41000505
+1 0 0 0 0 1 5 5 41010505
+1 0 0 0 0 2 5 5 41020505
+1 0 0 0 0 3 5 5 41030505
+1 0 0 0 0 4 5 5 41040505
+1 0 0 0 0 5 5 5 41050505
+1 0 0 0 0 6 5 5 41060505
+1 0 0 0 0 7 5 5 41070505
+1 0 0 0 0 8 5 5 41080505
+1 0 0 0 0 9 5 5 41090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fxx.yl b/CarpetAttic/Cart3dTest/test/periodic/fxx.yl
new file mode 100644
index 000000000..635c93712
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fxx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx y (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 41050005
+0 0 0 0 0 5 1 5 41050105
+0 0 0 0 0 5 2 5 41050205
+0 0 0 0 0 5 3 5 41050305
+0 0 0 0 0 5 4 5 41050405
+0 0 0 0 0 5 5 5 41050505
+0 0 0 0 0 5 6 5 41050605
+0 0 0 0 0 5 7 5 41050705
+0 0 0 0 0 5 8 5 41050805
+0 0 0 0 0 5 9 5 41050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 41050805
+1 0 0 0 0 5 1 5 41050105
+1 0 0 0 0 5 2 5 41050205
+1 0 0 0 0 5 3 5 41050305
+1 0 0 0 0 5 4 5 41050405
+1 0 0 0 0 5 5 5 41050505
+1 0 0 0 0 5 6 5 41050605
+1 0 0 0 0 5 7 5 41050705
+1 0 0 0 0 5 8 5 41050805
+1 0 0 0 0 5 9 5 41050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fxx.zl b/CarpetAttic/Cart3dTest/test/periodic/fxx.zl
new file mode 100644
index 000000000..64395ee5f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fxx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx z (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 41050500
+0 0 0 0 0 5 5 1 41050501
+0 0 0 0 0 5 5 2 41050502
+0 0 0 0 0 5 5 3 41050503
+0 0 0 0 0 5 5 4 41050504
+0 0 0 0 0 5 5 5 41050505
+0 0 0 0 0 5 5 6 41050506
+0 0 0 0 0 5 5 7 41050507
+0 0 0 0 0 5 5 8 41050508
+0 0 0 0 0 5 5 9 41050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 41050506
+1 0 0 0 0 5 5 1 41050507
+1 0 0 0 0 5 5 2 41050502
+1 0 0 0 0 5 5 3 41050503
+1 0 0 0 0 5 5 4 41050504
+1 0 0 0 0 5 5 5 41050505
+1 0 0 0 0 5 5 6 41050506
+1 0 0 0 0 5 5 7 41050507
+1 0 0 0 0 5 5 8 41050502
+1 0 0 0 0 5 5 9 41050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fxy.xl b/CarpetAttic/Cart3dTest/test/periodic/fxy.xl
new file mode 100644
index 000000000..bec381f14
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fxy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy x (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 42000505
+0 0 0 0 0 1 5 5 42010505
+0 0 0 0 0 2 5 5 42020505
+0 0 0 0 0 3 5 5 42030505
+0 0 0 0 0 4 5 5 42040505
+0 0 0 0 0 5 5 5 42050505
+0 0 0 0 0 6 5 5 42060505
+0 0 0 0 0 7 5 5 42070505
+0 0 0 0 0 8 5 5 42080505
+0 0 0 0 0 9 5 5 42090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 42000505
+1 0 0 0 0 1 5 5 42010505
+1 0 0 0 0 2 5 5 42020505
+1 0 0 0 0 3 5 5 42030505
+1 0 0 0 0 4 5 5 42040505
+1 0 0 0 0 5 5 5 42050505
+1 0 0 0 0 6 5 5 42060505
+1 0 0 0 0 7 5 5 42070505
+1 0 0 0 0 8 5 5 42080505
+1 0 0 0 0 9 5 5 42090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fxy.yl b/CarpetAttic/Cart3dTest/test/periodic/fxy.yl
new file mode 100644
index 000000000..961acf9dc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fxy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy y (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 42050005
+0 0 0 0 0 5 1 5 42050105
+0 0 0 0 0 5 2 5 42050205
+0 0 0 0 0 5 3 5 42050305
+0 0 0 0 0 5 4 5 42050405
+0 0 0 0 0 5 5 5 42050505
+0 0 0 0 0 5 6 5 42050605
+0 0 0 0 0 5 7 5 42050705
+0 0 0 0 0 5 8 5 42050805
+0 0 0 0 0 5 9 5 42050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 42050805
+1 0 0 0 0 5 1 5 42050105
+1 0 0 0 0 5 2 5 42050205
+1 0 0 0 0 5 3 5 42050305
+1 0 0 0 0 5 4 5 42050405
+1 0 0 0 0 5 5 5 42050505
+1 0 0 0 0 5 6 5 42050605
+1 0 0 0 0 5 7 5 42050705
+1 0 0 0 0 5 8 5 42050805
+1 0 0 0 0 5 9 5 42050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fxy.zl b/CarpetAttic/Cart3dTest/test/periodic/fxy.zl
new file mode 100644
index 000000000..1e6801dbd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fxy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy z (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 42050500
+0 0 0 0 0 5 5 1 42050501
+0 0 0 0 0 5 5 2 42050502
+0 0 0 0 0 5 5 3 42050503
+0 0 0 0 0 5 5 4 42050504
+0 0 0 0 0 5 5 5 42050505
+0 0 0 0 0 5 5 6 42050506
+0 0 0 0 0 5 5 7 42050507
+0 0 0 0 0 5 5 8 42050508
+0 0 0 0 0 5 5 9 42050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 42050506
+1 0 0 0 0 5 5 1 42050507
+1 0 0 0 0 5 5 2 42050502
+1 0 0 0 0 5 5 3 42050503
+1 0 0 0 0 5 5 4 42050504
+1 0 0 0 0 5 5 5 42050505
+1 0 0 0 0 5 5 6 42050506
+1 0 0 0 0 5 5 7 42050507
+1 0 0 0 0 5 5 8 42050502
+1 0 0 0 0 5 5 9 42050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fxz.xl b/CarpetAttic/Cart3dTest/test/periodic/fxz.xl
new file mode 100644
index 000000000..1a33e9082
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fxz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz x (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 43000505
+0 0 0 0 0 1 5 5 43010505
+0 0 0 0 0 2 5 5 43020505
+0 0 0 0 0 3 5 5 43030505
+0 0 0 0 0 4 5 5 43040505
+0 0 0 0 0 5 5 5 43050505
+0 0 0 0 0 6 5 5 43060505
+0 0 0 0 0 7 5 5 43070505
+0 0 0 0 0 8 5 5 43080505
+0 0 0 0 0 9 5 5 43090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 43000505
+1 0 0 0 0 1 5 5 43010505
+1 0 0 0 0 2 5 5 43020505
+1 0 0 0 0 3 5 5 43030505
+1 0 0 0 0 4 5 5 43040505
+1 0 0 0 0 5 5 5 43050505
+1 0 0 0 0 6 5 5 43060505
+1 0 0 0 0 7 5 5 43070505
+1 0 0 0 0 8 5 5 43080505
+1 0 0 0 0 9 5 5 43090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fxz.yl b/CarpetAttic/Cart3dTest/test/periodic/fxz.yl
new file mode 100644
index 000000000..fb470154d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fxz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz y (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 43050005
+0 0 0 0 0 5 1 5 43050105
+0 0 0 0 0 5 2 5 43050205
+0 0 0 0 0 5 3 5 43050305
+0 0 0 0 0 5 4 5 43050405
+0 0 0 0 0 5 5 5 43050505
+0 0 0 0 0 5 6 5 43050605
+0 0 0 0 0 5 7 5 43050705
+0 0 0 0 0 5 8 5 43050805
+0 0 0 0 0 5 9 5 43050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 43050805
+1 0 0 0 0 5 1 5 43050105
+1 0 0 0 0 5 2 5 43050205
+1 0 0 0 0 5 3 5 43050305
+1 0 0 0 0 5 4 5 43050405
+1 0 0 0 0 5 5 5 43050505
+1 0 0 0 0 5 6 5 43050605
+1 0 0 0 0 5 7 5 43050705
+1 0 0 0 0 5 8 5 43050805
+1 0 0 0 0 5 9 5 43050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fxz.zl b/CarpetAttic/Cart3dTest/test/periodic/fxz.zl
new file mode 100644
index 000000000..d110a11d6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fxz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz z (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 43050500
+0 0 0 0 0 5 5 1 43050501
+0 0 0 0 0 5 5 2 43050502
+0 0 0 0 0 5 5 3 43050503
+0 0 0 0 0 5 5 4 43050504
+0 0 0 0 0 5 5 5 43050505
+0 0 0 0 0 5 5 6 43050506
+0 0 0 0 0 5 5 7 43050507
+0 0 0 0 0 5 5 8 43050508
+0 0 0 0 0 5 5 9 43050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 43050506
+1 0 0 0 0 5 5 1 43050507
+1 0 0 0 0 5 5 2 43050502
+1 0 0 0 0 5 5 3 43050503
+1 0 0 0 0 5 5 4 43050504
+1 0 0 0 0 5 5 5 43050505
+1 0 0 0 0 5 5 6 43050506
+1 0 0 0 0 5 5 7 43050507
+1 0 0 0 0 5 5 8 43050502
+1 0 0 0 0 5 5 9 43050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fyx.xl b/CarpetAttic/Cart3dTest/test/periodic/fyx.xl
new file mode 100644
index 000000000..cae9cbe2d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fyx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx x (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 44000505
+0 0 0 0 0 1 5 5 44010505
+0 0 0 0 0 2 5 5 44020505
+0 0 0 0 0 3 5 5 44030505
+0 0 0 0 0 4 5 5 44040505
+0 0 0 0 0 5 5 5 44050505
+0 0 0 0 0 6 5 5 44060505
+0 0 0 0 0 7 5 5 44070505
+0 0 0 0 0 8 5 5 44080505
+0 0 0 0 0 9 5 5 44090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 44000505
+1 0 0 0 0 1 5 5 44010505
+1 0 0 0 0 2 5 5 44020505
+1 0 0 0 0 3 5 5 44030505
+1 0 0 0 0 4 5 5 44040505
+1 0 0 0 0 5 5 5 44050505
+1 0 0 0 0 6 5 5 44060505
+1 0 0 0 0 7 5 5 44070505
+1 0 0 0 0 8 5 5 44080505
+1 0 0 0 0 9 5 5 44090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fyx.yl b/CarpetAttic/Cart3dTest/test/periodic/fyx.yl
new file mode 100644
index 000000000..30724e461
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fyx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx y (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 44050005
+0 0 0 0 0 5 1 5 44050105
+0 0 0 0 0 5 2 5 44050205
+0 0 0 0 0 5 3 5 44050305
+0 0 0 0 0 5 4 5 44050405
+0 0 0 0 0 5 5 5 44050505
+0 0 0 0 0 5 6 5 44050605
+0 0 0 0 0 5 7 5 44050705
+0 0 0 0 0 5 8 5 44050805
+0 0 0 0 0 5 9 5 44050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 44050805
+1 0 0 0 0 5 1 5 44050105
+1 0 0 0 0 5 2 5 44050205
+1 0 0 0 0 5 3 5 44050305
+1 0 0 0 0 5 4 5 44050405
+1 0 0 0 0 5 5 5 44050505
+1 0 0 0 0 5 6 5 44050605
+1 0 0 0 0 5 7 5 44050705
+1 0 0 0 0 5 8 5 44050805
+1 0 0 0 0 5 9 5 44050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fyx.zl b/CarpetAttic/Cart3dTest/test/periodic/fyx.zl
new file mode 100644
index 000000000..3c7d095af
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fyx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx z (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 44050500
+0 0 0 0 0 5 5 1 44050501
+0 0 0 0 0 5 5 2 44050502
+0 0 0 0 0 5 5 3 44050503
+0 0 0 0 0 5 5 4 44050504
+0 0 0 0 0 5 5 5 44050505
+0 0 0 0 0 5 5 6 44050506
+0 0 0 0 0 5 5 7 44050507
+0 0 0 0 0 5 5 8 44050508
+0 0 0 0 0 5 5 9 44050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 44050506
+1 0 0 0 0 5 5 1 44050507
+1 0 0 0 0 5 5 2 44050502
+1 0 0 0 0 5 5 3 44050503
+1 0 0 0 0 5 5 4 44050504
+1 0 0 0 0 5 5 5 44050505
+1 0 0 0 0 5 5 6 44050506
+1 0 0 0 0 5 5 7 44050507
+1 0 0 0 0 5 5 8 44050502
+1 0 0 0 0 5 5 9 44050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fyy.xl b/CarpetAttic/Cart3dTest/test/periodic/fyy.xl
new file mode 100644
index 000000000..5008c5b15
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy x (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 45000505
+0 0 0 0 0 1 5 5 45010505
+0 0 0 0 0 2 5 5 45020505
+0 0 0 0 0 3 5 5 45030505
+0 0 0 0 0 4 5 5 45040505
+0 0 0 0 0 5 5 5 45050505
+0 0 0 0 0 6 5 5 45060505
+0 0 0 0 0 7 5 5 45070505
+0 0 0 0 0 8 5 5 45080505
+0 0 0 0 0 9 5 5 45090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 45000505
+1 0 0 0 0 1 5 5 45010505
+1 0 0 0 0 2 5 5 45020505
+1 0 0 0 0 3 5 5 45030505
+1 0 0 0 0 4 5 5 45040505
+1 0 0 0 0 5 5 5 45050505
+1 0 0 0 0 6 5 5 45060505
+1 0 0 0 0 7 5 5 45070505
+1 0 0 0 0 8 5 5 45080505
+1 0 0 0 0 9 5 5 45090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fyy.yl b/CarpetAttic/Cart3dTest/test/periodic/fyy.yl
new file mode 100644
index 000000000..e97298ab8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy y (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 45050005
+0 0 0 0 0 5 1 5 45050105
+0 0 0 0 0 5 2 5 45050205
+0 0 0 0 0 5 3 5 45050305
+0 0 0 0 0 5 4 5 45050405
+0 0 0 0 0 5 5 5 45050505
+0 0 0 0 0 5 6 5 45050605
+0 0 0 0 0 5 7 5 45050705
+0 0 0 0 0 5 8 5 45050805
+0 0 0 0 0 5 9 5 45050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 45050805
+1 0 0 0 0 5 1 5 45050105
+1 0 0 0 0 5 2 5 45050205
+1 0 0 0 0 5 3 5 45050305
+1 0 0 0 0 5 4 5 45050405
+1 0 0 0 0 5 5 5 45050505
+1 0 0 0 0 5 6 5 45050605
+1 0 0 0 0 5 7 5 45050705
+1 0 0 0 0 5 8 5 45050805
+1 0 0 0 0 5 9 5 45050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fyy.zl b/CarpetAttic/Cart3dTest/test/periodic/fyy.zl
new file mode 100644
index 000000000..7df9b43b3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy z (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 45050500
+0 0 0 0 0 5 5 1 45050501
+0 0 0 0 0 5 5 2 45050502
+0 0 0 0 0 5 5 3 45050503
+0 0 0 0 0 5 5 4 45050504
+0 0 0 0 0 5 5 5 45050505
+0 0 0 0 0 5 5 6 45050506
+0 0 0 0 0 5 5 7 45050507
+0 0 0 0 0 5 5 8 45050508
+0 0 0 0 0 5 5 9 45050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 45050506
+1 0 0 0 0 5 5 1 45050507
+1 0 0 0 0 5 5 2 45050502
+1 0 0 0 0 5 5 3 45050503
+1 0 0 0 0 5 5 4 45050504
+1 0 0 0 0 5 5 5 45050505
+1 0 0 0 0 5 5 6 45050506
+1 0 0 0 0 5 5 7 45050507
+1 0 0 0 0 5 5 8 45050502
+1 0 0 0 0 5 5 9 45050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fyz.xl b/CarpetAttic/Cart3dTest/test/periodic/fyz.xl
new file mode 100644
index 000000000..d98ca2a15
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz x (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 46000505
+0 0 0 0 0 1 5 5 46010505
+0 0 0 0 0 2 5 5 46020505
+0 0 0 0 0 3 5 5 46030505
+0 0 0 0 0 4 5 5 46040505
+0 0 0 0 0 5 5 5 46050505
+0 0 0 0 0 6 5 5 46060505
+0 0 0 0 0 7 5 5 46070505
+0 0 0 0 0 8 5 5 46080505
+0 0 0 0 0 9 5 5 46090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 46000505
+1 0 0 0 0 1 5 5 46010505
+1 0 0 0 0 2 5 5 46020505
+1 0 0 0 0 3 5 5 46030505
+1 0 0 0 0 4 5 5 46040505
+1 0 0 0 0 5 5 5 46050505
+1 0 0 0 0 6 5 5 46060505
+1 0 0 0 0 7 5 5 46070505
+1 0 0 0 0 8 5 5 46080505
+1 0 0 0 0 9 5 5 46090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fyz.yl b/CarpetAttic/Cart3dTest/test/periodic/fyz.yl
new file mode 100644
index 000000000..02982ec37
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz y (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 46050005
+0 0 0 0 0 5 1 5 46050105
+0 0 0 0 0 5 2 5 46050205
+0 0 0 0 0 5 3 5 46050305
+0 0 0 0 0 5 4 5 46050405
+0 0 0 0 0 5 5 5 46050505
+0 0 0 0 0 5 6 5 46050605
+0 0 0 0 0 5 7 5 46050705
+0 0 0 0 0 5 8 5 46050805
+0 0 0 0 0 5 9 5 46050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 46050805
+1 0 0 0 0 5 1 5 46050105
+1 0 0 0 0 5 2 5 46050205
+1 0 0 0 0 5 3 5 46050305
+1 0 0 0 0 5 4 5 46050405
+1 0 0 0 0 5 5 5 46050505
+1 0 0 0 0 5 6 5 46050605
+1 0 0 0 0 5 7 5 46050705
+1 0 0 0 0 5 8 5 46050805
+1 0 0 0 0 5 9 5 46050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fyz.zl b/CarpetAttic/Cart3dTest/test/periodic/fyz.zl
new file mode 100644
index 000000000..b2ef586f3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz z (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 46050500
+0 0 0 0 0 5 5 1 46050501
+0 0 0 0 0 5 5 2 46050502
+0 0 0 0 0 5 5 3 46050503
+0 0 0 0 0 5 5 4 46050504
+0 0 0 0 0 5 5 5 46050505
+0 0 0 0 0 5 5 6 46050506
+0 0 0 0 0 5 5 7 46050507
+0 0 0 0 0 5 5 8 46050508
+0 0 0 0 0 5 5 9 46050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 46050506
+1 0 0 0 0 5 5 1 46050507
+1 0 0 0 0 5 5 2 46050502
+1 0 0 0 0 5 5 3 46050503
+1 0 0 0 0 5 5 4 46050504
+1 0 0 0 0 5 5 5 46050505
+1 0 0 0 0 5 5 6 46050506
+1 0 0 0 0 5 5 7 46050507
+1 0 0 0 0 5 5 8 46050502
+1 0 0 0 0 5 5 9 46050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fzx.xl b/CarpetAttic/Cart3dTest/test/periodic/fzx.xl
new file mode 100644
index 000000000..b13ff1471
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fzx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx x (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 47000505
+0 0 0 0 0 1 5 5 47010505
+0 0 0 0 0 2 5 5 47020505
+0 0 0 0 0 3 5 5 47030505
+0 0 0 0 0 4 5 5 47040505
+0 0 0 0 0 5 5 5 47050505
+0 0 0 0 0 6 5 5 47060505
+0 0 0 0 0 7 5 5 47070505
+0 0 0 0 0 8 5 5 47080505
+0 0 0 0 0 9 5 5 47090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 47000505
+1 0 0 0 0 1 5 5 47010505
+1 0 0 0 0 2 5 5 47020505
+1 0 0 0 0 3 5 5 47030505
+1 0 0 0 0 4 5 5 47040505
+1 0 0 0 0 5 5 5 47050505
+1 0 0 0 0 6 5 5 47060505
+1 0 0 0 0 7 5 5 47070505
+1 0 0 0 0 8 5 5 47080505
+1 0 0 0 0 9 5 5 47090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fzx.yl b/CarpetAttic/Cart3dTest/test/periodic/fzx.yl
new file mode 100644
index 000000000..a65e0d332
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fzx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx y (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 47050005
+0 0 0 0 0 5 1 5 47050105
+0 0 0 0 0 5 2 5 47050205
+0 0 0 0 0 5 3 5 47050305
+0 0 0 0 0 5 4 5 47050405
+0 0 0 0 0 5 5 5 47050505
+0 0 0 0 0 5 6 5 47050605
+0 0 0 0 0 5 7 5 47050705
+0 0 0 0 0 5 8 5 47050805
+0 0 0 0 0 5 9 5 47050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 47050805
+1 0 0 0 0 5 1 5 47050105
+1 0 0 0 0 5 2 5 47050205
+1 0 0 0 0 5 3 5 47050305
+1 0 0 0 0 5 4 5 47050405
+1 0 0 0 0 5 5 5 47050505
+1 0 0 0 0 5 6 5 47050605
+1 0 0 0 0 5 7 5 47050705
+1 0 0 0 0 5 8 5 47050805
+1 0 0 0 0 5 9 5 47050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fzx.zl b/CarpetAttic/Cart3dTest/test/periodic/fzx.zl
new file mode 100644
index 000000000..9ea3a452a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fzx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx z (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 47050500
+0 0 0 0 0 5 5 1 47050501
+0 0 0 0 0 5 5 2 47050502
+0 0 0 0 0 5 5 3 47050503
+0 0 0 0 0 5 5 4 47050504
+0 0 0 0 0 5 5 5 47050505
+0 0 0 0 0 5 5 6 47050506
+0 0 0 0 0 5 5 7 47050507
+0 0 0 0 0 5 5 8 47050508
+0 0 0 0 0 5 5 9 47050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 47050506
+1 0 0 0 0 5 5 1 47050507
+1 0 0 0 0 5 5 2 47050502
+1 0 0 0 0 5 5 3 47050503
+1 0 0 0 0 5 5 4 47050504
+1 0 0 0 0 5 5 5 47050505
+1 0 0 0 0 5 5 6 47050506
+1 0 0 0 0 5 5 7 47050507
+1 0 0 0 0 5 5 8 47050502
+1 0 0 0 0 5 5 9 47050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fzy.xl b/CarpetAttic/Cart3dTest/test/periodic/fzy.xl
new file mode 100644
index 000000000..d8b2ffa66
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fzy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy x (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 48000505
+0 0 0 0 0 1 5 5 48010505
+0 0 0 0 0 2 5 5 48020505
+0 0 0 0 0 3 5 5 48030505
+0 0 0 0 0 4 5 5 48040505
+0 0 0 0 0 5 5 5 48050505
+0 0 0 0 0 6 5 5 48060505
+0 0 0 0 0 7 5 5 48070505
+0 0 0 0 0 8 5 5 48080505
+0 0 0 0 0 9 5 5 48090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 48000505
+1 0 0 0 0 1 5 5 48010505
+1 0 0 0 0 2 5 5 48020505
+1 0 0 0 0 3 5 5 48030505
+1 0 0 0 0 4 5 5 48040505
+1 0 0 0 0 5 5 5 48050505
+1 0 0 0 0 6 5 5 48060505
+1 0 0 0 0 7 5 5 48070505
+1 0 0 0 0 8 5 5 48080505
+1 0 0 0 0 9 5 5 48090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fzy.yl b/CarpetAttic/Cart3dTest/test/periodic/fzy.yl
new file mode 100644
index 000000000..9f3b6a100
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fzy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy y (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 48050005
+0 0 0 0 0 5 1 5 48050105
+0 0 0 0 0 5 2 5 48050205
+0 0 0 0 0 5 3 5 48050305
+0 0 0 0 0 5 4 5 48050405
+0 0 0 0 0 5 5 5 48050505
+0 0 0 0 0 5 6 5 48050605
+0 0 0 0 0 5 7 5 48050705
+0 0 0 0 0 5 8 5 48050805
+0 0 0 0 0 5 9 5 48050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 48050805
+1 0 0 0 0 5 1 5 48050105
+1 0 0 0 0 5 2 5 48050205
+1 0 0 0 0 5 3 5 48050305
+1 0 0 0 0 5 4 5 48050405
+1 0 0 0 0 5 5 5 48050505
+1 0 0 0 0 5 6 5 48050605
+1 0 0 0 0 5 7 5 48050705
+1 0 0 0 0 5 8 5 48050805
+1 0 0 0 0 5 9 5 48050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fzy.zl b/CarpetAttic/Cart3dTest/test/periodic/fzy.zl
new file mode 100644
index 000000000..9de0b0937
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fzy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy z (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 48050500
+0 0 0 0 0 5 5 1 48050501
+0 0 0 0 0 5 5 2 48050502
+0 0 0 0 0 5 5 3 48050503
+0 0 0 0 0 5 5 4 48050504
+0 0 0 0 0 5 5 5 48050505
+0 0 0 0 0 5 5 6 48050506
+0 0 0 0 0 5 5 7 48050507
+0 0 0 0 0 5 5 8 48050508
+0 0 0 0 0 5 5 9 48050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 48050506
+1 0 0 0 0 5 5 1 48050507
+1 0 0 0 0 5 5 2 48050502
+1 0 0 0 0 5 5 3 48050503
+1 0 0 0 0 5 5 4 48050504
+1 0 0 0 0 5 5 5 48050505
+1 0 0 0 0 5 5 6 48050506
+1 0 0 0 0 5 5 7 48050507
+1 0 0 0 0 5 5 8 48050502
+1 0 0 0 0 5 5 9 48050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fzz.xl b/CarpetAttic/Cart3dTest/test/periodic/fzz.xl
new file mode 100644
index 000000000..9c8f5cbf0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz x (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 49000505
+0 0 0 0 0 1 5 5 49010505
+0 0 0 0 0 2 5 5 49020505
+0 0 0 0 0 3 5 5 49030505
+0 0 0 0 0 4 5 5 49040505
+0 0 0 0 0 5 5 5 49050505
+0 0 0 0 0 6 5 5 49060505
+0 0 0 0 0 7 5 5 49070505
+0 0 0 0 0 8 5 5 49080505
+0 0 0 0 0 9 5 5 49090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 49000505
+1 0 0 0 0 1 5 5 49010505
+1 0 0 0 0 2 5 5 49020505
+1 0 0 0 0 3 5 5 49030505
+1 0 0 0 0 4 5 5 49040505
+1 0 0 0 0 5 5 5 49050505
+1 0 0 0 0 6 5 5 49060505
+1 0 0 0 0 7 5 5 49070505
+1 0 0 0 0 8 5 5 49080505
+1 0 0 0 0 9 5 5 49090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fzz.yl b/CarpetAttic/Cart3dTest/test/periodic/fzz.yl
new file mode 100644
index 000000000..5ad50d331
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz y (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 49050005
+0 0 0 0 0 5 1 5 49050105
+0 0 0 0 0 5 2 5 49050205
+0 0 0 0 0 5 3 5 49050305
+0 0 0 0 0 5 4 5 49050405
+0 0 0 0 0 5 5 5 49050505
+0 0 0 0 0 5 6 5 49050605
+0 0 0 0 0 5 7 5 49050705
+0 0 0 0 0 5 8 5 49050805
+0 0 0 0 0 5 9 5 49050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 49050805
+1 0 0 0 0 5 1 5 49050105
+1 0 0 0 0 5 2 5 49050205
+1 0 0 0 0 5 3 5 49050305
+1 0 0 0 0 5 4 5 49050405
+1 0 0 0 0 5 5 5 49050505
+1 0 0 0 0 5 6 5 49050605
+1 0 0 0 0 5 7 5 49050705
+1 0 0 0 0 5 8 5 49050805
+1 0 0 0 0 5 9 5 49050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/fzz.zl b/CarpetAttic/Cart3dTest/test/periodic/fzz.zl
new file mode 100644
index 000000000..e361fad48
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/fzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz z (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 49050500
+0 0 0 0 0 5 5 1 49050501
+0 0 0 0 0 5 5 2 49050502
+0 0 0 0 0 5 5 3 49050503
+0 0 0 0 0 5 5 4 49050504
+0 0 0 0 0 5 5 5 49050505
+0 0 0 0 0 5 5 6 49050506
+0 0 0 0 0 5 5 7 49050507
+0 0 0 0 0 5 5 8 49050508
+0 0 0 0 0 5 5 9 49050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 49050506
+1 0 0 0 0 5 5 1 49050507
+1 0 0 0 0 5 5 2 49050502
+1 0 0 0 0 5 5 3 49050503
+1 0 0 0 0 5 5 4 49050504
+1 0 0 0 0 5 5 5 49050505
+1 0 0 0 0 5 5 6 49050506
+1 0 0 0 0 5 5 7 49050507
+1 0 0 0 0 5 5 8 49050502
+1 0 0 0 0 5 5 9 49050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/s.xl b/CarpetAttic/Cart3dTest/test/periodic/s.xl
new file mode 100644
index 000000000..14e43aa3e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/s.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::s x (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 1000505
+0 0 0 0 0 1 5 5 1010505
+0 0 0 0 0 2 5 5 1020505
+0 0 0 0 0 3 5 5 1030505
+0 0 0 0 0 4 5 5 1040505
+0 0 0 0 0 5 5 5 1050505
+0 0 0 0 0 6 5 5 1060505
+0 0 0 0 0 7 5 5 1070505
+0 0 0 0 0 8 5 5 1080505
+0 0 0 0 0 9 5 5 1090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 1000505
+1 0 0 0 0 1 5 5 1010505
+1 0 0 0 0 2 5 5 1020505
+1 0 0 0 0 3 5 5 1030505
+1 0 0 0 0 4 5 5 1040505
+1 0 0 0 0 5 5 5 1050505
+1 0 0 0 0 6 5 5 1060505
+1 0 0 0 0 7 5 5 1070505
+1 0 0 0 0 8 5 5 1080505
+1 0 0 0 0 9 5 5 1090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/s.yl b/CarpetAttic/Cart3dTest/test/periodic/s.yl
new file mode 100644
index 000000000..d06a6df59
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/s.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::s y (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 1050005
+0 0 0 0 0 5 1 5 1050105
+0 0 0 0 0 5 2 5 1050205
+0 0 0 0 0 5 3 5 1050305
+0 0 0 0 0 5 4 5 1050405
+0 0 0 0 0 5 5 5 1050505
+0 0 0 0 0 5 6 5 1050605
+0 0 0 0 0 5 7 5 1050705
+0 0 0 0 0 5 8 5 1050805
+0 0 0 0 0 5 9 5 1050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 1050805
+1 0 0 0 0 5 1 5 1050105
+1 0 0 0 0 5 2 5 1050205
+1 0 0 0 0 5 3 5 1050305
+1 0 0 0 0 5 4 5 1050405
+1 0 0 0 0 5 5 5 1050505
+1 0 0 0 0 5 6 5 1050605
+1 0 0 0 0 5 7 5 1050705
+1 0 0 0 0 5 8 5 1050805
+1 0 0 0 0 5 9 5 1050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/s.zl b/CarpetAttic/Cart3dTest/test/periodic/s.zl
new file mode 100644
index 000000000..6735790f7
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/s.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::s z (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 1050500
+0 0 0 0 0 5 5 1 1050501
+0 0 0 0 0 5 5 2 1050502
+0 0 0 0 0 5 5 3 1050503
+0 0 0 0 0 5 5 4 1050504
+0 0 0 0 0 5 5 5 1050505
+0 0 0 0 0 5 5 6 1050506
+0 0 0 0 0 5 5 7 1050507
+0 0 0 0 0 5 5 8 1050508
+0 0 0 0 0 5 5 9 1050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 1050506
+1 0 0 0 0 5 5 1 1050507
+1 0 0 0 0 5 5 2 1050502
+1 0 0 0 0 5 5 3 1050503
+1 0 0 0 0 5 5 4 1050504
+1 0 0 0 0 5 5 5 1050505
+1 0 0 0 0 5 5 6 1050506
+1 0 0 0 0 5 5 7 1050507
+1 0 0 0 0 5 5 8 1050502
+1 0 0 0 0 5 5 9 1050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/periodic/spher3d_r.xl
new file mode 100644
index 000000000..b331c2bf4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/spher3d_r.xl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 1.36656503687164
+0 0 0 0 0 1 5 5 1.07121426428143
+0 0 0 0 0 2 5 5 0.779422863405995
+0 0 0 0 0 3 5 5 0.49749371855331
+0 0 0 0 0 4 5 5 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135332
+0 0 0 0 0 6 5 5 0.49749371855331
+0 0 0 0 0 7 5 5 0.779422863405995
+0 0 0 0 0 8 5 5 1.07121426428143
+0 0 0 0 0 9 5 5 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 1.36656503687164
+1 0 0 0 0 1 5 5 1.07121426428143
+1 0 0 0 0 2 5 5 0.779422863405995
+1 0 0 0 0 3 5 5 0.49749371855331
+1 0 0 0 0 4 5 5 0.259807621135332
+1 0 0 0 0 5 5 5 0.259807621135332
+1 0 0 0 0 6 5 5 0.49749371855331
+1 0 0 0 0 7 5 5 0.779422863405995
+1 0 0 0 0 8 5 5 1.07121426428143
+1 0 0 0 0 9 5 5 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/periodic/spher3d_r.yl
new file mode 100644
index 000000000..8ca57fd44
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/spher3d_r.yl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 1.36656503687164
+0 0 0 0 0 5 1 5 1.07121426428143
+0 0 0 0 0 5 2 5 0.779422863405995
+0 0 0 0 0 5 3 5 0.49749371855331
+0 0 0 0 0 5 4 5 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135332
+0 0 0 0 0 5 6 5 0.49749371855331
+0 0 0 0 0 5 7 5 0.779422863405995
+0 0 0 0 0 5 8 5 1.07121426428143
+0 0 0 0 0 5 9 5 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 1.36656503687164
+1 0 0 0 0 5 1 5 1.07121426428143
+1 0 0 0 0 5 2 5 0.779422863405995
+1 0 0 0 0 5 3 5 0.49749371855331
+1 0 0 0 0 5 4 5 0.259807621135332
+1 0 0 0 0 5 5 5 0.259807621135332
+1 0 0 0 0 5 6 5 0.49749371855331
+1 0 0 0 0 5 7 5 0.779422863405995
+1 0 0 0 0 5 8 5 1.07121426428143
+1 0 0 0 0 5 9 5 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/periodic/spher3d_r.zl
new file mode 100644
index 000000000..677631008
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/spher3d_r.zl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 1.36656503687164
+0 0 0 0 0 5 5 1 1.07121426428143
+0 0 0 0 0 5 5 2 0.779422863405995
+0 0 0 0 0 5 5 3 0.49749371855331
+0 0 0 0 0 5 5 4 0.259807621135332
+0 0 0 0 0 5 5 5 0.259807621135332
+0 0 0 0 0 5 5 6 0.49749371855331
+0 0 0 0 0 5 5 7 0.779422863405995
+0 0 0 0 0 5 5 8 1.07121426428143
+0 0 0 0 0 5 5 9 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 1.36656503687164
+1 0 0 0 0 5 5 1 1.07121426428143
+1 0 0 0 0 5 5 2 0.779422863405995
+1 0 0 0 0 5 5 3 0.49749371855331
+1 0 0 0 0 5 5 4 0.259807621135332
+1 0 0 0 0 5 5 5 0.259807621135332
+1 0 0 0 0 5 5 6 0.49749371855331
+1 0 0 0 0 5 5 7 0.779422863405995
+1 0 0 0 0 5 5 8 1.07121426428143
+1 0 0 0 0 5 5 9 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/txx.xl b/CarpetAttic/Cart3dTest/test/periodic/txx.xl
new file mode 100644
index 000000000..ec49b7513
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/txx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx x (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 21000505
+0 0 0 0 0 1 5 5 21010505
+0 0 0 0 0 2 5 5 21020505
+0 0 0 0 0 3 5 5 21030505
+0 0 0 0 0 4 5 5 21040505
+0 0 0 0 0 5 5 5 21050505
+0 0 0 0 0 6 5 5 21060505
+0 0 0 0 0 7 5 5 21070505
+0 0 0 0 0 8 5 5 21080505
+0 0 0 0 0 9 5 5 21090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 21000505
+1 0 0 0 0 1 5 5 21010505
+1 0 0 0 0 2 5 5 21020505
+1 0 0 0 0 3 5 5 21030505
+1 0 0 0 0 4 5 5 21040505
+1 0 0 0 0 5 5 5 21050505
+1 0 0 0 0 6 5 5 21060505
+1 0 0 0 0 7 5 5 21070505
+1 0 0 0 0 8 5 5 21080505
+1 0 0 0 0 9 5 5 21090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/txx.yl b/CarpetAttic/Cart3dTest/test/periodic/txx.yl
new file mode 100644
index 000000000..6c2b5ac85
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/txx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx y (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 21050005
+0 0 0 0 0 5 1 5 21050105
+0 0 0 0 0 5 2 5 21050205
+0 0 0 0 0 5 3 5 21050305
+0 0 0 0 0 5 4 5 21050405
+0 0 0 0 0 5 5 5 21050505
+0 0 0 0 0 5 6 5 21050605
+0 0 0 0 0 5 7 5 21050705
+0 0 0 0 0 5 8 5 21050805
+0 0 0 0 0 5 9 5 21050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 21050805
+1 0 0 0 0 5 1 5 21050105
+1 0 0 0 0 5 2 5 21050205
+1 0 0 0 0 5 3 5 21050305
+1 0 0 0 0 5 4 5 21050405
+1 0 0 0 0 5 5 5 21050505
+1 0 0 0 0 5 6 5 21050605
+1 0 0 0 0 5 7 5 21050705
+1 0 0 0 0 5 8 5 21050805
+1 0 0 0 0 5 9 5 21050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/txx.zl b/CarpetAttic/Cart3dTest/test/periodic/txx.zl
new file mode 100644
index 000000000..9d68b5276
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/txx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx z (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 21050500
+0 0 0 0 0 5 5 1 21050501
+0 0 0 0 0 5 5 2 21050502
+0 0 0 0 0 5 5 3 21050503
+0 0 0 0 0 5 5 4 21050504
+0 0 0 0 0 5 5 5 21050505
+0 0 0 0 0 5 5 6 21050506
+0 0 0 0 0 5 5 7 21050507
+0 0 0 0 0 5 5 8 21050508
+0 0 0 0 0 5 5 9 21050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 21050506
+1 0 0 0 0 5 5 1 21050507
+1 0 0 0 0 5 5 2 21050502
+1 0 0 0 0 5 5 3 21050503
+1 0 0 0 0 5 5 4 21050504
+1 0 0 0 0 5 5 5 21050505
+1 0 0 0 0 5 5 6 21050506
+1 0 0 0 0 5 5 7 21050507
+1 0 0 0 0 5 5 8 21050502
+1 0 0 0 0 5 5 9 21050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/txy.xl b/CarpetAttic/Cart3dTest/test/periodic/txy.xl
new file mode 100644
index 000000000..c0a04db3d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/txy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy x (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 22000505
+0 0 0 0 0 1 5 5 22010505
+0 0 0 0 0 2 5 5 22020505
+0 0 0 0 0 3 5 5 22030505
+0 0 0 0 0 4 5 5 22040505
+0 0 0 0 0 5 5 5 22050505
+0 0 0 0 0 6 5 5 22060505
+0 0 0 0 0 7 5 5 22070505
+0 0 0 0 0 8 5 5 22080505
+0 0 0 0 0 9 5 5 22090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 22000505
+1 0 0 0 0 1 5 5 22010505
+1 0 0 0 0 2 5 5 22020505
+1 0 0 0 0 3 5 5 22030505
+1 0 0 0 0 4 5 5 22040505
+1 0 0 0 0 5 5 5 22050505
+1 0 0 0 0 6 5 5 22060505
+1 0 0 0 0 7 5 5 22070505
+1 0 0 0 0 8 5 5 22080505
+1 0 0 0 0 9 5 5 22090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/txy.yl b/CarpetAttic/Cart3dTest/test/periodic/txy.yl
new file mode 100644
index 000000000..60ca70da9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/txy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy y (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 22050005
+0 0 0 0 0 5 1 5 22050105
+0 0 0 0 0 5 2 5 22050205
+0 0 0 0 0 5 3 5 22050305
+0 0 0 0 0 5 4 5 22050405
+0 0 0 0 0 5 5 5 22050505
+0 0 0 0 0 5 6 5 22050605
+0 0 0 0 0 5 7 5 22050705
+0 0 0 0 0 5 8 5 22050805
+0 0 0 0 0 5 9 5 22050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 22050805
+1 0 0 0 0 5 1 5 22050105
+1 0 0 0 0 5 2 5 22050205
+1 0 0 0 0 5 3 5 22050305
+1 0 0 0 0 5 4 5 22050405
+1 0 0 0 0 5 5 5 22050505
+1 0 0 0 0 5 6 5 22050605
+1 0 0 0 0 5 7 5 22050705
+1 0 0 0 0 5 8 5 22050805
+1 0 0 0 0 5 9 5 22050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/txy.zl b/CarpetAttic/Cart3dTest/test/periodic/txy.zl
new file mode 100644
index 000000000..b517ac253
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/txy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy z (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 22050500
+0 0 0 0 0 5 5 1 22050501
+0 0 0 0 0 5 5 2 22050502
+0 0 0 0 0 5 5 3 22050503
+0 0 0 0 0 5 5 4 22050504
+0 0 0 0 0 5 5 5 22050505
+0 0 0 0 0 5 5 6 22050506
+0 0 0 0 0 5 5 7 22050507
+0 0 0 0 0 5 5 8 22050508
+0 0 0 0 0 5 5 9 22050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 22050506
+1 0 0 0 0 5 5 1 22050507
+1 0 0 0 0 5 5 2 22050502
+1 0 0 0 0 5 5 3 22050503
+1 0 0 0 0 5 5 4 22050504
+1 0 0 0 0 5 5 5 22050505
+1 0 0 0 0 5 5 6 22050506
+1 0 0 0 0 5 5 7 22050507
+1 0 0 0 0 5 5 8 22050502
+1 0 0 0 0 5 5 9 22050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/txz.xl b/CarpetAttic/Cart3dTest/test/periodic/txz.xl
new file mode 100644
index 000000000..ef056f783
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/txz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz x (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 23000505
+0 0 0 0 0 1 5 5 23010505
+0 0 0 0 0 2 5 5 23020505
+0 0 0 0 0 3 5 5 23030505
+0 0 0 0 0 4 5 5 23040505
+0 0 0 0 0 5 5 5 23050505
+0 0 0 0 0 6 5 5 23060505
+0 0 0 0 0 7 5 5 23070505
+0 0 0 0 0 8 5 5 23080505
+0 0 0 0 0 9 5 5 23090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 23000505
+1 0 0 0 0 1 5 5 23010505
+1 0 0 0 0 2 5 5 23020505
+1 0 0 0 0 3 5 5 23030505
+1 0 0 0 0 4 5 5 23040505
+1 0 0 0 0 5 5 5 23050505
+1 0 0 0 0 6 5 5 23060505
+1 0 0 0 0 7 5 5 23070505
+1 0 0 0 0 8 5 5 23080505
+1 0 0 0 0 9 5 5 23090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/txz.yl b/CarpetAttic/Cart3dTest/test/periodic/txz.yl
new file mode 100644
index 000000000..a0b82ff0e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/txz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz y (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 23050005
+0 0 0 0 0 5 1 5 23050105
+0 0 0 0 0 5 2 5 23050205
+0 0 0 0 0 5 3 5 23050305
+0 0 0 0 0 5 4 5 23050405
+0 0 0 0 0 5 5 5 23050505
+0 0 0 0 0 5 6 5 23050605
+0 0 0 0 0 5 7 5 23050705
+0 0 0 0 0 5 8 5 23050805
+0 0 0 0 0 5 9 5 23050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 23050805
+1 0 0 0 0 5 1 5 23050105
+1 0 0 0 0 5 2 5 23050205
+1 0 0 0 0 5 3 5 23050305
+1 0 0 0 0 5 4 5 23050405
+1 0 0 0 0 5 5 5 23050505
+1 0 0 0 0 5 6 5 23050605
+1 0 0 0 0 5 7 5 23050705
+1 0 0 0 0 5 8 5 23050805
+1 0 0 0 0 5 9 5 23050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/txz.zl b/CarpetAttic/Cart3dTest/test/periodic/txz.zl
new file mode 100644
index 000000000..cac4ebe2d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/txz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz z (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 23050500
+0 0 0 0 0 5 5 1 23050501
+0 0 0 0 0 5 5 2 23050502
+0 0 0 0 0 5 5 3 23050503
+0 0 0 0 0 5 5 4 23050504
+0 0 0 0 0 5 5 5 23050505
+0 0 0 0 0 5 5 6 23050506
+0 0 0 0 0 5 5 7 23050507
+0 0 0 0 0 5 5 8 23050508
+0 0 0 0 0 5 5 9 23050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 23050506
+1 0 0 0 0 5 5 1 23050507
+1 0 0 0 0 5 5 2 23050502
+1 0 0 0 0 5 5 3 23050503
+1 0 0 0 0 5 5 4 23050504
+1 0 0 0 0 5 5 5 23050505
+1 0 0 0 0 5 5 6 23050506
+1 0 0 0 0 5 5 7 23050507
+1 0 0 0 0 5 5 8 23050502
+1 0 0 0 0 5 5 9 23050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/tyy.xl b/CarpetAttic/Cart3dTest/test/periodic/tyy.xl
new file mode 100644
index 000000000..6a8ea71c4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/tyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy x (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 24000505
+0 0 0 0 0 1 5 5 24010505
+0 0 0 0 0 2 5 5 24020505
+0 0 0 0 0 3 5 5 24030505
+0 0 0 0 0 4 5 5 24040505
+0 0 0 0 0 5 5 5 24050505
+0 0 0 0 0 6 5 5 24060505
+0 0 0 0 0 7 5 5 24070505
+0 0 0 0 0 8 5 5 24080505
+0 0 0 0 0 9 5 5 24090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 24000505
+1 0 0 0 0 1 5 5 24010505
+1 0 0 0 0 2 5 5 24020505
+1 0 0 0 0 3 5 5 24030505
+1 0 0 0 0 4 5 5 24040505
+1 0 0 0 0 5 5 5 24050505
+1 0 0 0 0 6 5 5 24060505
+1 0 0 0 0 7 5 5 24070505
+1 0 0 0 0 8 5 5 24080505
+1 0 0 0 0 9 5 5 24090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/tyy.yl b/CarpetAttic/Cart3dTest/test/periodic/tyy.yl
new file mode 100644
index 000000000..e5167e1ee
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/tyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy y (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 24050005
+0 0 0 0 0 5 1 5 24050105
+0 0 0 0 0 5 2 5 24050205
+0 0 0 0 0 5 3 5 24050305
+0 0 0 0 0 5 4 5 24050405
+0 0 0 0 0 5 5 5 24050505
+0 0 0 0 0 5 6 5 24050605
+0 0 0 0 0 5 7 5 24050705
+0 0 0 0 0 5 8 5 24050805
+0 0 0 0 0 5 9 5 24050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 24050805
+1 0 0 0 0 5 1 5 24050105
+1 0 0 0 0 5 2 5 24050205
+1 0 0 0 0 5 3 5 24050305
+1 0 0 0 0 5 4 5 24050405
+1 0 0 0 0 5 5 5 24050505
+1 0 0 0 0 5 6 5 24050605
+1 0 0 0 0 5 7 5 24050705
+1 0 0 0 0 5 8 5 24050805
+1 0 0 0 0 5 9 5 24050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/tyy.zl b/CarpetAttic/Cart3dTest/test/periodic/tyy.zl
new file mode 100644
index 000000000..0142d96f9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/tyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy z (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 24050500
+0 0 0 0 0 5 5 1 24050501
+0 0 0 0 0 5 5 2 24050502
+0 0 0 0 0 5 5 3 24050503
+0 0 0 0 0 5 5 4 24050504
+0 0 0 0 0 5 5 5 24050505
+0 0 0 0 0 5 5 6 24050506
+0 0 0 0 0 5 5 7 24050507
+0 0 0 0 0 5 5 8 24050508
+0 0 0 0 0 5 5 9 24050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 24050506
+1 0 0 0 0 5 5 1 24050507
+1 0 0 0 0 5 5 2 24050502
+1 0 0 0 0 5 5 3 24050503
+1 0 0 0 0 5 5 4 24050504
+1 0 0 0 0 5 5 5 24050505
+1 0 0 0 0 5 5 6 24050506
+1 0 0 0 0 5 5 7 24050507
+1 0 0 0 0 5 5 8 24050502
+1 0 0 0 0 5 5 9 24050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/tyz.xl b/CarpetAttic/Cart3dTest/test/periodic/tyz.xl
new file mode 100644
index 000000000..011e5ce29
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/tyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz x (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 25000505
+0 0 0 0 0 1 5 5 25010505
+0 0 0 0 0 2 5 5 25020505
+0 0 0 0 0 3 5 5 25030505
+0 0 0 0 0 4 5 5 25040505
+0 0 0 0 0 5 5 5 25050505
+0 0 0 0 0 6 5 5 25060505
+0 0 0 0 0 7 5 5 25070505
+0 0 0 0 0 8 5 5 25080505
+0 0 0 0 0 9 5 5 25090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 25000505
+1 0 0 0 0 1 5 5 25010505
+1 0 0 0 0 2 5 5 25020505
+1 0 0 0 0 3 5 5 25030505
+1 0 0 0 0 4 5 5 25040505
+1 0 0 0 0 5 5 5 25050505
+1 0 0 0 0 6 5 5 25060505
+1 0 0 0 0 7 5 5 25070505
+1 0 0 0 0 8 5 5 25080505
+1 0 0 0 0 9 5 5 25090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/tyz.yl b/CarpetAttic/Cart3dTest/test/periodic/tyz.yl
new file mode 100644
index 000000000..737aaf03b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/tyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz y (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 25050005
+0 0 0 0 0 5 1 5 25050105
+0 0 0 0 0 5 2 5 25050205
+0 0 0 0 0 5 3 5 25050305
+0 0 0 0 0 5 4 5 25050405
+0 0 0 0 0 5 5 5 25050505
+0 0 0 0 0 5 6 5 25050605
+0 0 0 0 0 5 7 5 25050705
+0 0 0 0 0 5 8 5 25050805
+0 0 0 0 0 5 9 5 25050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 25050805
+1 0 0 0 0 5 1 5 25050105
+1 0 0 0 0 5 2 5 25050205
+1 0 0 0 0 5 3 5 25050305
+1 0 0 0 0 5 4 5 25050405
+1 0 0 0 0 5 5 5 25050505
+1 0 0 0 0 5 6 5 25050605
+1 0 0 0 0 5 7 5 25050705
+1 0 0 0 0 5 8 5 25050805
+1 0 0 0 0 5 9 5 25050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/tyz.zl b/CarpetAttic/Cart3dTest/test/periodic/tyz.zl
new file mode 100644
index 000000000..2141b37d3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/tyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz z (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 25050500
+0 0 0 0 0 5 5 1 25050501
+0 0 0 0 0 5 5 2 25050502
+0 0 0 0 0 5 5 3 25050503
+0 0 0 0 0 5 5 4 25050504
+0 0 0 0 0 5 5 5 25050505
+0 0 0 0 0 5 5 6 25050506
+0 0 0 0 0 5 5 7 25050507
+0 0 0 0 0 5 5 8 25050508
+0 0 0 0 0 5 5 9 25050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 25050506
+1 0 0 0 0 5 5 1 25050507
+1 0 0 0 0 5 5 2 25050502
+1 0 0 0 0 5 5 3 25050503
+1 0 0 0 0 5 5 4 25050504
+1 0 0 0 0 5 5 5 25050505
+1 0 0 0 0 5 5 6 25050506
+1 0 0 0 0 5 5 7 25050507
+1 0 0 0 0 5 5 8 25050502
+1 0 0 0 0 5 5 9 25050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/tzz.xl b/CarpetAttic/Cart3dTest/test/periodic/tzz.xl
new file mode 100644
index 000000000..0035c4de3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/tzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz x (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 26000505
+0 0 0 0 0 1 5 5 26010505
+0 0 0 0 0 2 5 5 26020505
+0 0 0 0 0 3 5 5 26030505
+0 0 0 0 0 4 5 5 26040505
+0 0 0 0 0 5 5 5 26050505
+0 0 0 0 0 6 5 5 26060505
+0 0 0 0 0 7 5 5 26070505
+0 0 0 0 0 8 5 5 26080505
+0 0 0 0 0 9 5 5 26090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 26000505
+1 0 0 0 0 1 5 5 26010505
+1 0 0 0 0 2 5 5 26020505
+1 0 0 0 0 3 5 5 26030505
+1 0 0 0 0 4 5 5 26040505
+1 0 0 0 0 5 5 5 26050505
+1 0 0 0 0 6 5 5 26060505
+1 0 0 0 0 7 5 5 26070505
+1 0 0 0 0 8 5 5 26080505
+1 0 0 0 0 9 5 5 26090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/tzz.yl b/CarpetAttic/Cart3dTest/test/periodic/tzz.yl
new file mode 100644
index 000000000..419eacda2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/tzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz y (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 26050005
+0 0 0 0 0 5 1 5 26050105
+0 0 0 0 0 5 2 5 26050205
+0 0 0 0 0 5 3 5 26050305
+0 0 0 0 0 5 4 5 26050405
+0 0 0 0 0 5 5 5 26050505
+0 0 0 0 0 5 6 5 26050605
+0 0 0 0 0 5 7 5 26050705
+0 0 0 0 0 5 8 5 26050805
+0 0 0 0 0 5 9 5 26050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 26050805
+1 0 0 0 0 5 1 5 26050105
+1 0 0 0 0 5 2 5 26050205
+1 0 0 0 0 5 3 5 26050305
+1 0 0 0 0 5 4 5 26050405
+1 0 0 0 0 5 5 5 26050505
+1 0 0 0 0 5 6 5 26050605
+1 0 0 0 0 5 7 5 26050705
+1 0 0 0 0 5 8 5 26050805
+1 0 0 0 0 5 9 5 26050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/tzz.zl b/CarpetAttic/Cart3dTest/test/periodic/tzz.zl
new file mode 100644
index 000000000..7687b70da
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/tzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz z (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 26050500
+0 0 0 0 0 5 5 1 26050501
+0 0 0 0 0 5 5 2 26050502
+0 0 0 0 0 5 5 3 26050503
+0 0 0 0 0 5 5 4 26050504
+0 0 0 0 0 5 5 5 26050505
+0 0 0 0 0 5 5 6 26050506
+0 0 0 0 0 5 5 7 26050507
+0 0 0 0 0 5 5 8 26050508
+0 0 0 0 0 5 5 9 26050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 26050506
+1 0 0 0 0 5 5 1 26050507
+1 0 0 0 0 5 5 2 26050502
+1 0 0 0 0 5 5 3 26050503
+1 0 0 0 0 5 5 4 26050504
+1 0 0 0 0 5 5 5 26050505
+1 0 0 0 0 5 5 6 26050506
+1 0 0 0 0 5 5 7 26050507
+1 0 0 0 0 5 5 8 26050502
+1 0 0 0 0 5 5 9 26050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/vx.xl b/CarpetAttic/Cart3dTest/test/periodic/vx.xl
new file mode 100644
index 000000000..d4dafe57f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/vx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 11000505
+0 0 0 0 0 1 5 5 11010505
+0 0 0 0 0 2 5 5 11020505
+0 0 0 0 0 3 5 5 11030505
+0 0 0 0 0 4 5 5 11040505
+0 0 0 0 0 5 5 5 11050505
+0 0 0 0 0 6 5 5 11060505
+0 0 0 0 0 7 5 5 11070505
+0 0 0 0 0 8 5 5 11080505
+0 0 0 0 0 9 5 5 11090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 11000505
+1 0 0 0 0 1 5 5 11010505
+1 0 0 0 0 2 5 5 11020505
+1 0 0 0 0 3 5 5 11030505
+1 0 0 0 0 4 5 5 11040505
+1 0 0 0 0 5 5 5 11050505
+1 0 0 0 0 6 5 5 11060505
+1 0 0 0 0 7 5 5 11070505
+1 0 0 0 0 8 5 5 11080505
+1 0 0 0 0 9 5 5 11090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/vx.yl b/CarpetAttic/Cart3dTest/test/periodic/vx.yl
new file mode 100644
index 000000000..f81df364e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/vx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 11050005
+0 0 0 0 0 5 1 5 11050105
+0 0 0 0 0 5 2 5 11050205
+0 0 0 0 0 5 3 5 11050305
+0 0 0 0 0 5 4 5 11050405
+0 0 0 0 0 5 5 5 11050505
+0 0 0 0 0 5 6 5 11050605
+0 0 0 0 0 5 7 5 11050705
+0 0 0 0 0 5 8 5 11050805
+0 0 0 0 0 5 9 5 11050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 11050805
+1 0 0 0 0 5 1 5 11050105
+1 0 0 0 0 5 2 5 11050205
+1 0 0 0 0 5 3 5 11050305
+1 0 0 0 0 5 4 5 11050405
+1 0 0 0 0 5 5 5 11050505
+1 0 0 0 0 5 6 5 11050605
+1 0 0 0 0 5 7 5 11050705
+1 0 0 0 0 5 8 5 11050805
+1 0 0 0 0 5 9 5 11050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/vx.zl b/CarpetAttic/Cart3dTest/test/periodic/vx.zl
new file mode 100644
index 000000000..233bb7a3d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/vx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 11050500
+0 0 0 0 0 5 5 1 11050501
+0 0 0 0 0 5 5 2 11050502
+0 0 0 0 0 5 5 3 11050503
+0 0 0 0 0 5 5 4 11050504
+0 0 0 0 0 5 5 5 11050505
+0 0 0 0 0 5 5 6 11050506
+0 0 0 0 0 5 5 7 11050507
+0 0 0 0 0 5 5 8 11050508
+0 0 0 0 0 5 5 9 11050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 11050506
+1 0 0 0 0 5 5 1 11050507
+1 0 0 0 0 5 5 2 11050502
+1 0 0 0 0 5 5 3 11050503
+1 0 0 0 0 5 5 4 11050504
+1 0 0 0 0 5 5 5 11050505
+1 0 0 0 0 5 5 6 11050506
+1 0 0 0 0 5 5 7 11050507
+1 0 0 0 0 5 5 8 11050502
+1 0 0 0 0 5 5 9 11050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/vy.xl b/CarpetAttic/Cart3dTest/test/periodic/vy.xl
new file mode 100644
index 000000000..487f382f4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/vy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 12000505
+0 0 0 0 0 1 5 5 12010505
+0 0 0 0 0 2 5 5 12020505
+0 0 0 0 0 3 5 5 12030505
+0 0 0 0 0 4 5 5 12040505
+0 0 0 0 0 5 5 5 12050505
+0 0 0 0 0 6 5 5 12060505
+0 0 0 0 0 7 5 5 12070505
+0 0 0 0 0 8 5 5 12080505
+0 0 0 0 0 9 5 5 12090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 12000505
+1 0 0 0 0 1 5 5 12010505
+1 0 0 0 0 2 5 5 12020505
+1 0 0 0 0 3 5 5 12030505
+1 0 0 0 0 4 5 5 12040505
+1 0 0 0 0 5 5 5 12050505
+1 0 0 0 0 6 5 5 12060505
+1 0 0 0 0 7 5 5 12070505
+1 0 0 0 0 8 5 5 12080505
+1 0 0 0 0 9 5 5 12090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/vy.yl b/CarpetAttic/Cart3dTest/test/periodic/vy.yl
new file mode 100644
index 000000000..d8b64e9eb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/vy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 12050005
+0 0 0 0 0 5 1 5 12050105
+0 0 0 0 0 5 2 5 12050205
+0 0 0 0 0 5 3 5 12050305
+0 0 0 0 0 5 4 5 12050405
+0 0 0 0 0 5 5 5 12050505
+0 0 0 0 0 5 6 5 12050605
+0 0 0 0 0 5 7 5 12050705
+0 0 0 0 0 5 8 5 12050805
+0 0 0 0 0 5 9 5 12050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 12050805
+1 0 0 0 0 5 1 5 12050105
+1 0 0 0 0 5 2 5 12050205
+1 0 0 0 0 5 3 5 12050305
+1 0 0 0 0 5 4 5 12050405
+1 0 0 0 0 5 5 5 12050505
+1 0 0 0 0 5 6 5 12050605
+1 0 0 0 0 5 7 5 12050705
+1 0 0 0 0 5 8 5 12050805
+1 0 0 0 0 5 9 5 12050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/vy.zl b/CarpetAttic/Cart3dTest/test/periodic/vy.zl
new file mode 100644
index 000000000..9f158aa08
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/vy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 12050500
+0 0 0 0 0 5 5 1 12050501
+0 0 0 0 0 5 5 2 12050502
+0 0 0 0 0 5 5 3 12050503
+0 0 0 0 0 5 5 4 12050504
+0 0 0 0 0 5 5 5 12050505
+0 0 0 0 0 5 5 6 12050506
+0 0 0 0 0 5 5 7 12050507
+0 0 0 0 0 5 5 8 12050508
+0 0 0 0 0 5 5 9 12050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 12050506
+1 0 0 0 0 5 5 1 12050507
+1 0 0 0 0 5 5 2 12050502
+1 0 0 0 0 5 5 3 12050503
+1 0 0 0 0 5 5 4 12050504
+1 0 0 0 0 5 5 5 12050505
+1 0 0 0 0 5 5 6 12050506
+1 0 0 0 0 5 5 7 12050507
+1 0 0 0 0 5 5 8 12050502
+1 0 0 0 0 5 5 9 12050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/vz.xl b/CarpetAttic/Cart3dTest/test/periodic/vz.xl
new file mode 100644
index 000000000..7385d5001
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/vz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 13000505
+0 0 0 0 0 1 5 5 13010505
+0 0 0 0 0 2 5 5 13020505
+0 0 0 0 0 3 5 5 13030505
+0 0 0 0 0 4 5 5 13040505
+0 0 0 0 0 5 5 5 13050505
+0 0 0 0 0 6 5 5 13060505
+0 0 0 0 0 7 5 5 13070505
+0 0 0 0 0 8 5 5 13080505
+0 0 0 0 0 9 5 5 13090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 13000505
+1 0 0 0 0 1 5 5 13010505
+1 0 0 0 0 2 5 5 13020505
+1 0 0 0 0 3 5 5 13030505
+1 0 0 0 0 4 5 5 13040505
+1 0 0 0 0 5 5 5 13050505
+1 0 0 0 0 6 5 5 13060505
+1 0 0 0 0 7 5 5 13070505
+1 0 0 0 0 8 5 5 13080505
+1 0 0 0 0 9 5 5 13090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/vz.yl b/CarpetAttic/Cart3dTest/test/periodic/vz.yl
new file mode 100644
index 000000000..dc3f4f135
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/vz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 13050005
+0 0 0 0 0 5 1 5 13050105
+0 0 0 0 0 5 2 5 13050205
+0 0 0 0 0 5 3 5 13050305
+0 0 0 0 0 5 4 5 13050405
+0 0 0 0 0 5 5 5 13050505
+0 0 0 0 0 5 6 5 13050605
+0 0 0 0 0 5 7 5 13050705
+0 0 0 0 0 5 8 5 13050805
+0 0 0 0 0 5 9 5 13050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 13050805
+1 0 0 0 0 5 1 5 13050105
+1 0 0 0 0 5 2 5 13050205
+1 0 0 0 0 5 3 5 13050305
+1 0 0 0 0 5 4 5 13050405
+1 0 0 0 0 5 5 5 13050505
+1 0 0 0 0 5 6 5 13050605
+1 0 0 0 0 5 7 5 13050705
+1 0 0 0 0 5 8 5 13050805
+1 0 0 0 0 5 9 5 13050105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/periodic/vz.zl b/CarpetAttic/Cart3dTest/test/periodic/vz.zl
new file mode 100644
index 000000000..34c262e57
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/periodic/vz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 13050500
+0 0 0 0 0 5 5 1 13050501
+0 0 0 0 0 5 5 2 13050502
+0 0 0 0 0 5 5 3 13050503
+0 0 0 0 0 5 5 4 13050504
+0 0 0 0 0 5 5 5 13050505
+0 0 0 0 0 5 5 6 13050506
+0 0 0 0 0 5 5 7 13050507
+0 0 0 0 0 5 5 8 13050508
+0 0 0 0 0 5 5 9 13050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 13050506
+1 0 0 0 0 5 5 1 13050507
+1 0 0 0 0 5 5 2 13050502
+1 0 0 0 0 5 5 3 13050503
+1 0 0 0 0 5 5 4 13050504
+1 0 0 0 0 5 5 5 13050505
+1 0 0 0 0 5 5 6 13050506
+1 0 0 0 0 5 5 7 13050507
+1 0 0 0 0 5 5 8 13050502
+1 0 0 0 0 5 5 9 13050503
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant.log b/CarpetAttic/Cart3dTest/test/quadrant.log
new file mode 100644
index 000000000..8b02f3bdb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant.log
@@ -0,0 +1,81 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/quadrant.par b/CarpetAttic/Cart3dTest/test/quadrant.par
new file mode 100644
index 000000000..83211cb3e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant.par
@@ -0,0 +1,17 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/quadrant.par,v 1.4 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 1
+
+grid::type = "byspacing"
+grid::mode = "quadrant"
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "quadrant"
+IOASCII::out1D_vars = "grid::coordinates Cart3dTest::quantities"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/ax.xl b/CarpetAttic/Cart3dTest/test/quadrant/ax.xl
new file mode 100644
index 000000000..397050783
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/ax.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax x (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 31000105
+0 0 0 0 0 1 1 5 31010105
+0 0 0 0 0 2 1 5 31020105
+0 0 0 0 0 3 1 5 31030105
+0 0 0 0 0 4 1 5 31040105
+0 0 0 0 0 5 1 5 31050105
+0 0 0 0 0 6 1 5 31060105
+0 0 0 0 0 7 1 5 31070105
+0 0 0 0 0 8 1 5 31080105
+0 0 0 0 0 9 1 5 31090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 31000105
+1 0 0 0 0 1 1 5 31010105
+1 0 0 0 0 2 1 5 31020105
+1 0 0 0 0 3 1 5 31030105
+1 0 0 0 0 4 1 5 31040105
+1 0 0 0 0 5 1 5 31050105
+1 0 0 0 0 6 1 5 31060105
+1 0 0 0 0 7 1 5 31070105
+1 0 0 0 0 8 1 5 31080105
+1 0 0 0 0 9 1 5 31090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/ax.yl b/CarpetAttic/Cart3dTest/test/quadrant/ax.yl
new file mode 100644
index 000000000..eaef02f5c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/ax.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax y (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 31000005
+0 0 0 0 0 0 1 5 31000105
+0 0 0 0 0 0 2 5 31000205
+0 0 0 0 0 0 3 5 31000305
+0 0 0 0 0 0 4 5 31000405
+0 0 0 0 0 0 5 5 31000505
+0 0 0 0 0 0 6 5 31000605
+0 0 0 0 0 0 7 5 31000705
+0 0 0 0 0 0 8 5 31000805
+0 0 0 0 0 0 9 5 31000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 -31000105
+1 0 0 0 0 0 1 5 31000105
+1 0 0 0 0 0 2 5 31000205
+1 0 0 0 0 0 3 5 31000305
+1 0 0 0 0 0 4 5 31000405
+1 0 0 0 0 0 5 5 31000505
+1 0 0 0 0 0 6 5 31000605
+1 0 0 0 0 0 7 5 31000705
+1 0 0 0 0 0 8 5 31000805
+1 0 0 0 0 0 9 5 31000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/ax.zl b/CarpetAttic/Cart3dTest/test/quadrant/ax.zl
new file mode 100644
index 000000000..95884a539
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/ax.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax z (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 31000100
+0 0 0 0 0 0 1 1 31000101
+0 0 0 0 0 0 1 2 31000102
+0 0 0 0 0 0 1 3 31000103
+0 0 0 0 0 0 1 4 31000104
+0 0 0 0 0 0 1 5 31000105
+0 0 0 0 0 0 1 6 31000106
+0 0 0 0 0 0 1 7 31000107
+0 0 0 0 0 0 1 8 31000108
+0 0 0 0 0 0 1 9 31000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 31000100
+1 0 0 0 0 0 1 1 31000101
+1 0 0 0 0 0 1 2 31000102
+1 0 0 0 0 0 1 3 31000103
+1 0 0 0 0 0 1 4 31000104
+1 0 0 0 0 0 1 5 31000105
+1 0 0 0 0 0 1 6 31000106
+1 0 0 0 0 0 1 7 31000107
+1 0 0 0 0 0 1 8 31000108
+1 0 0 0 0 0 1 9 31000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/ay.xl b/CarpetAttic/Cart3dTest/test/quadrant/ay.xl
new file mode 100644
index 000000000..99252f51f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/ay.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay x (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 32000105
+0 0 0 0 0 1 1 5 32010105
+0 0 0 0 0 2 1 5 32020105
+0 0 0 0 0 3 1 5 32030105
+0 0 0 0 0 4 1 5 32040105
+0 0 0 0 0 5 1 5 32050105
+0 0 0 0 0 6 1 5 32060105
+0 0 0 0 0 7 1 5 32070105
+0 0 0 0 0 8 1 5 32080105
+0 0 0 0 0 9 1 5 32090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 32000105
+1 0 0 0 0 1 1 5 32010105
+1 0 0 0 0 2 1 5 32020105
+1 0 0 0 0 3 1 5 32030105
+1 0 0 0 0 4 1 5 32040105
+1 0 0 0 0 5 1 5 32050105
+1 0 0 0 0 6 1 5 32060105
+1 0 0 0 0 7 1 5 32070105
+1 0 0 0 0 8 1 5 32080105
+1 0 0 0 0 9 1 5 32090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/ay.yl b/CarpetAttic/Cart3dTest/test/quadrant/ay.yl
new file mode 100644
index 000000000..449cdceaa
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/ay.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay y (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 32000005
+0 0 0 0 0 0 1 5 32000105
+0 0 0 0 0 0 2 5 32000205
+0 0 0 0 0 0 3 5 32000305
+0 0 0 0 0 0 4 5 32000405
+0 0 0 0 0 0 5 5 32000505
+0 0 0 0 0 0 6 5 32000605
+0 0 0 0 0 0 7 5 32000705
+0 0 0 0 0 0 8 5 32000805
+0 0 0 0 0 0 9 5 32000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 32000105
+1 0 0 0 0 0 1 5 32000105
+1 0 0 0 0 0 2 5 32000205
+1 0 0 0 0 0 3 5 32000305
+1 0 0 0 0 0 4 5 32000405
+1 0 0 0 0 0 5 5 32000505
+1 0 0 0 0 0 6 5 32000605
+1 0 0 0 0 0 7 5 32000705
+1 0 0 0 0 0 8 5 32000805
+1 0 0 0 0 0 9 5 32000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/ay.zl b/CarpetAttic/Cart3dTest/test/quadrant/ay.zl
new file mode 100644
index 000000000..2b972174c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/ay.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay z (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 32000100
+0 0 0 0 0 0 1 1 32000101
+0 0 0 0 0 0 1 2 32000102
+0 0 0 0 0 0 1 3 32000103
+0 0 0 0 0 0 1 4 32000104
+0 0 0 0 0 0 1 5 32000105
+0 0 0 0 0 0 1 6 32000106
+0 0 0 0 0 0 1 7 32000107
+0 0 0 0 0 0 1 8 32000108
+0 0 0 0 0 0 1 9 32000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 32000100
+1 0 0 0 0 0 1 1 32000101
+1 0 0 0 0 0 1 2 32000102
+1 0 0 0 0 0 1 3 32000103
+1 0 0 0 0 0 1 4 32000104
+1 0 0 0 0 0 1 5 32000105
+1 0 0 0 0 0 1 6 32000106
+1 0 0 0 0 0 1 7 32000107
+1 0 0 0 0 0 1 8 32000108
+1 0 0 0 0 0 1 9 32000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/az.xl b/CarpetAttic/Cart3dTest/test/quadrant/az.xl
new file mode 100644
index 000000000..739247d1f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/az.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::az x (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 33000105
+0 0 0 0 0 1 1 5 33010105
+0 0 0 0 0 2 1 5 33020105
+0 0 0 0 0 3 1 5 33030105
+0 0 0 0 0 4 1 5 33040105
+0 0 0 0 0 5 1 5 33050105
+0 0 0 0 0 6 1 5 33060105
+0 0 0 0 0 7 1 5 33070105
+0 0 0 0 0 8 1 5 33080105
+0 0 0 0 0 9 1 5 33090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 33000105
+1 0 0 0 0 1 1 5 33010105
+1 0 0 0 0 2 1 5 33020105
+1 0 0 0 0 3 1 5 33030105
+1 0 0 0 0 4 1 5 33040105
+1 0 0 0 0 5 1 5 33050105
+1 0 0 0 0 6 1 5 33060105
+1 0 0 0 0 7 1 5 33070105
+1 0 0 0 0 8 1 5 33080105
+1 0 0 0 0 9 1 5 33090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/az.yl b/CarpetAttic/Cart3dTest/test/quadrant/az.yl
new file mode 100644
index 000000000..9b54f28d1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/az.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::az y (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 33000005
+0 0 0 0 0 0 1 5 33000105
+0 0 0 0 0 0 2 5 33000205
+0 0 0 0 0 0 3 5 33000305
+0 0 0 0 0 0 4 5 33000405
+0 0 0 0 0 0 5 5 33000505
+0 0 0 0 0 0 6 5 33000605
+0 0 0 0 0 0 7 5 33000705
+0 0 0 0 0 0 8 5 33000805
+0 0 0 0 0 0 9 5 33000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 -33000105
+1 0 0 0 0 0 1 5 33000105
+1 0 0 0 0 0 2 5 33000205
+1 0 0 0 0 0 3 5 33000305
+1 0 0 0 0 0 4 5 33000405
+1 0 0 0 0 0 5 5 33000505
+1 0 0 0 0 0 6 5 33000605
+1 0 0 0 0 0 7 5 33000705
+1 0 0 0 0 0 8 5 33000805
+1 0 0 0 0 0 9 5 33000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/az.zl b/CarpetAttic/Cart3dTest/test/quadrant/az.zl
new file mode 100644
index 000000000..f6e71f0f1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/az.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::az z (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 33000100
+0 0 0 0 0 0 1 1 33000101
+0 0 0 0 0 0 1 2 33000102
+0 0 0 0 0 0 1 3 33000103
+0 0 0 0 0 0 1 4 33000104
+0 0 0 0 0 0 1 5 33000105
+0 0 0 0 0 0 1 6 33000106
+0 0 0 0 0 0 1 7 33000107
+0 0 0 0 0 0 1 8 33000108
+0 0 0 0 0 0 1 9 33000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 33000100
+1 0 0 0 0 0 1 1 33000101
+1 0 0 0 0 0 1 2 33000102
+1 0 0 0 0 0 1 3 33000103
+1 0 0 0 0 0 1 4 33000104
+1 0 0 0 0 0 1 5 33000105
+1 0 0 0 0 0 1 6 33000106
+1 0 0 0 0 0 1 7 33000107
+1 0 0 0 0 0 1 8 33000108
+1 0 0 0 0 0 1 9 33000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/quadrant/cart3d_x.xl
new file mode 100644
index 000000000..2fabec940
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/cart3d_x.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 1 1 5 0.45
+0 0 0 0 0 2 1 5 0.75
+0 0 0 0 0 3 1 5 1.05
+0 0 0 0 0 4 1 5 1.35
+0 0 0 0 0 5 1 5 1.65
+0 0 0 0 0 6 1 5 1.95
+0 0 0 0 0 7 1 5 2.25
+0 0 0 0 0 8 1 5 2.55
+0 0 0 0 0 9 1 5 2.85
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 1 1 5 0.45
+1 0 0 0 0 2 1 5 0.75
+1 0 0 0 0 3 1 5 1.05
+1 0 0 0 0 4 1 5 1.35
+1 0 0 0 0 5 1 5 1.65
+1 0 0 0 0 6 1 5 1.95
+1 0 0 0 0 7 1 5 2.25
+1 0 0 0 0 8 1 5 2.55
+1 0 0 0 0 9 1 5 2.85
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/quadrant/cart3d_x.yl
new file mode 100644
index 000000000..7a88526ed
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/cart3d_x.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 0.15
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 0 2 5 0.15
+0 0 0 0 0 0 3 5 0.15
+0 0 0 0 0 0 4 5 0.15
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 0 6 5 0.15
+0 0 0 0 0 0 7 5 0.15
+0 0 0 0 0 0 8 5 0.15
+0 0 0 0 0 0 9 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 0.15
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 0 2 5 0.15
+1 0 0 0 0 0 3 5 0.15
+1 0 0 0 0 0 4 5 0.15
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 0 6 5 0.15
+1 0 0 0 0 0 7 5 0.15
+1 0 0 0 0 0 8 5 0.15
+1 0 0 0 0 0 9 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/quadrant/cart3d_x.zl
new file mode 100644
index 000000000..3920c211d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/cart3d_x.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 0.15
+0 0 0 0 0 0 1 1 0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 1 3 0.15
+0 0 0 0 0 0 1 4 0.15
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 0 1 6 0.15
+0 0 0 0 0 0 1 7 0.15
+0 0 0 0 0 0 1 8 0.15
+0 0 0 0 0 0 1 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 0.15
+1 0 0 0 0 0 1 1 0.15
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 0 1 3 0.15
+1 0 0 0 0 0 1 4 0.15
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 0 1 6 0.15
+1 0 0 0 0 0 1 7 0.15
+1 0 0 0 0 0 1 8 0.15
+1 0 0 0 0 0 1 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/quadrant/cart3d_y.xl
new file mode 100644
index 000000000..e07fa99ab
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/cart3d_y.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 1 1 5 0.15
+0 0 0 0 0 2 1 5 0.15
+0 0 0 0 0 3 1 5 0.15
+0 0 0 0 0 4 1 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 6 1 5 0.15
+0 0 0 0 0 7 1 5 0.15
+0 0 0 0 0 8 1 5 0.15
+0 0 0 0 0 9 1 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 1 1 5 0.15
+1 0 0 0 0 2 1 5 0.15
+1 0 0 0 0 3 1 5 0.15
+1 0 0 0 0 4 1 5 0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 6 1 5 0.15
+1 0 0 0 0 7 1 5 0.15
+1 0 0 0 0 8 1 5 0.15
+1 0 0 0 0 9 1 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/quadrant/cart3d_y.yl
new file mode 100644
index 000000000..fef33815d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/cart3d_y.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 -0.15
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 0 2 5 0.45
+0 0 0 0 0 0 3 5 0.75
+0 0 0 0 0 0 4 5 1.05
+0 0 0 0 0 0 5 5 1.35
+0 0 0 0 0 0 6 5 1.65
+0 0 0 0 0 0 7 5 1.95
+0 0 0 0 0 0 8 5 2.25
+0 0 0 0 0 0 9 5 2.55
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 -0.15
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 0 2 5 0.45
+1 0 0 0 0 0 3 5 0.75
+1 0 0 0 0 0 4 5 1.05
+1 0 0 0 0 0 5 5 1.35
+1 0 0 0 0 0 6 5 1.65
+1 0 0 0 0 0 7 5 1.95
+1 0 0 0 0 0 8 5 2.25
+1 0 0 0 0 0 9 5 2.55
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/quadrant/cart3d_y.zl
new file mode 100644
index 000000000..1325581cd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/cart3d_y.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 0.15
+0 0 0 0 0 0 1 1 0.15
+0 0 0 0 0 0 1 2 0.15
+0 0 0 0 0 0 1 3 0.15
+0 0 0 0 0 0 1 4 0.15
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 0 1 6 0.15
+0 0 0 0 0 0 1 7 0.15
+0 0 0 0 0 0 1 8 0.15
+0 0 0 0 0 0 1 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 0.15
+1 0 0 0 0 0 1 1 0.15
+1 0 0 0 0 0 1 2 0.15
+1 0 0 0 0 0 1 3 0.15
+1 0 0 0 0 0 1 4 0.15
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 0 1 6 0.15
+1 0 0 0 0 0 1 7 0.15
+1 0 0 0 0 0 1 8 0.15
+1 0 0 0 0 0 1 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/quadrant/cart3d_z.xl
new file mode 100644
index 000000000..9718c560e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/cart3d_z.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 1 1 5 0.15
+0 0 0 0 0 2 1 5 0.15
+0 0 0 0 0 3 1 5 0.15
+0 0 0 0 0 4 1 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 6 1 5 0.15
+0 0 0 0 0 7 1 5 0.15
+0 0 0 0 0 8 1 5 0.15
+0 0 0 0 0 9 1 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 1 1 5 0.15
+1 0 0 0 0 2 1 5 0.15
+1 0 0 0 0 3 1 5 0.15
+1 0 0 0 0 4 1 5 0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 6 1 5 0.15
+1 0 0 0 0 7 1 5 0.15
+1 0 0 0 0 8 1 5 0.15
+1 0 0 0 0 9 1 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/quadrant/cart3d_z.yl
new file mode 100644
index 000000000..48fe0f0c9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/cart3d_z.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 0.15
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 0 2 5 0.15
+0 0 0 0 0 0 3 5 0.15
+0 0 0 0 0 0 4 5 0.15
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 0 6 5 0.15
+0 0 0 0 0 0 7 5 0.15
+0 0 0 0 0 0 8 5 0.15
+0 0 0 0 0 0 9 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 0.15
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 0 2 5 0.15
+1 0 0 0 0 0 3 5 0.15
+1 0 0 0 0 0 4 5 0.15
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 0 6 5 0.15
+1 0 0 0 0 0 7 5 0.15
+1 0 0 0 0 0 8 5 0.15
+1 0 0 0 0 0 9 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/quadrant/cart3d_z.zl
new file mode 100644
index 000000000..e7d6808ac
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/cart3d_z.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 -1.35
+0 0 0 0 0 0 1 1 -1.05
+0 0 0 0 0 0 1 2 -0.75
+0 0 0 0 0 0 1 3 -0.45
+0 0 0 0 0 0 1 4 -0.15
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 0 1 6 0.45
+0 0 0 0 0 0 1 7 0.75
+0 0 0 0 0 0 1 8 1.05
+0 0 0 0 0 0 1 9 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 -1.35
+1 0 0 0 0 0 1 1 -1.05
+1 0 0 0 0 0 1 2 -0.75
+1 0 0 0 0 0 1 3 -0.45
+1 0 0 0 0 0 1 4 -0.15
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 0 1 6 0.45
+1 0 0 0 0 0 1 7 0.75
+1 0 0 0 0 0 1 8 1.05
+1 0 0 0 0 0 1 9 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fxx.xl b/CarpetAttic/Cart3dTest/test/quadrant/fxx.xl
new file mode 100644
index 000000000..b571599e8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fxx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx x (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 41000105
+0 0 0 0 0 1 1 5 41010105
+0 0 0 0 0 2 1 5 41020105
+0 0 0 0 0 3 1 5 41030105
+0 0 0 0 0 4 1 5 41040105
+0 0 0 0 0 5 1 5 41050105
+0 0 0 0 0 6 1 5 41060105
+0 0 0 0 0 7 1 5 41070105
+0 0 0 0 0 8 1 5 41080105
+0 0 0 0 0 9 1 5 41090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 41000105
+1 0 0 0 0 1 1 5 41010105
+1 0 0 0 0 2 1 5 41020105
+1 0 0 0 0 3 1 5 41030105
+1 0 0 0 0 4 1 5 41040105
+1 0 0 0 0 5 1 5 41050105
+1 0 0 0 0 6 1 5 41060105
+1 0 0 0 0 7 1 5 41070105
+1 0 0 0 0 8 1 5 41080105
+1 0 0 0 0 9 1 5 41090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fxx.yl b/CarpetAttic/Cart3dTest/test/quadrant/fxx.yl
new file mode 100644
index 000000000..a9d9ee283
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fxx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx y (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 41000005
+0 0 0 0 0 0 1 5 41000105
+0 0 0 0 0 0 2 5 41000205
+0 0 0 0 0 0 3 5 41000305
+0 0 0 0 0 0 4 5 41000405
+0 0 0 0 0 0 5 5 41000505
+0 0 0 0 0 0 6 5 41000605
+0 0 0 0 0 0 7 5 41000705
+0 0 0 0 0 0 8 5 41000805
+0 0 0 0 0 0 9 5 41000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 41000105
+1 0 0 0 0 0 1 5 41000105
+1 0 0 0 0 0 2 5 41000205
+1 0 0 0 0 0 3 5 41000305
+1 0 0 0 0 0 4 5 41000405
+1 0 0 0 0 0 5 5 41000505
+1 0 0 0 0 0 6 5 41000605
+1 0 0 0 0 0 7 5 41000705
+1 0 0 0 0 0 8 5 41000805
+1 0 0 0 0 0 9 5 41000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fxx.zl b/CarpetAttic/Cart3dTest/test/quadrant/fxx.zl
new file mode 100644
index 000000000..bff00fd60
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fxx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx z (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 41000100
+0 0 0 0 0 0 1 1 41000101
+0 0 0 0 0 0 1 2 41000102
+0 0 0 0 0 0 1 3 41000103
+0 0 0 0 0 0 1 4 41000104
+0 0 0 0 0 0 1 5 41000105
+0 0 0 0 0 0 1 6 41000106
+0 0 0 0 0 0 1 7 41000107
+0 0 0 0 0 0 1 8 41000108
+0 0 0 0 0 0 1 9 41000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 41000100
+1 0 0 0 0 0 1 1 41000101
+1 0 0 0 0 0 1 2 41000102
+1 0 0 0 0 0 1 3 41000103
+1 0 0 0 0 0 1 4 41000104
+1 0 0 0 0 0 1 5 41000105
+1 0 0 0 0 0 1 6 41000106
+1 0 0 0 0 0 1 7 41000107
+1 0 0 0 0 0 1 8 41000108
+1 0 0 0 0 0 1 9 41000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fxy.xl b/CarpetAttic/Cart3dTest/test/quadrant/fxy.xl
new file mode 100644
index 000000000..684a57670
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fxy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy x (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 42000105
+0 0 0 0 0 1 1 5 42010105
+0 0 0 0 0 2 1 5 42020105
+0 0 0 0 0 3 1 5 42030105
+0 0 0 0 0 4 1 5 42040105
+0 0 0 0 0 5 1 5 42050105
+0 0 0 0 0 6 1 5 42060105
+0 0 0 0 0 7 1 5 42070105
+0 0 0 0 0 8 1 5 42080105
+0 0 0 0 0 9 1 5 42090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 42000105
+1 0 0 0 0 1 1 5 42010105
+1 0 0 0 0 2 1 5 42020105
+1 0 0 0 0 3 1 5 42030105
+1 0 0 0 0 4 1 5 42040105
+1 0 0 0 0 5 1 5 42050105
+1 0 0 0 0 6 1 5 42060105
+1 0 0 0 0 7 1 5 42070105
+1 0 0 0 0 8 1 5 42080105
+1 0 0 0 0 9 1 5 42090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fxy.yl b/CarpetAttic/Cart3dTest/test/quadrant/fxy.yl
new file mode 100644
index 000000000..50e0a8609
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fxy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy y (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 42000005
+0 0 0 0 0 0 1 5 42000105
+0 0 0 0 0 0 2 5 42000205
+0 0 0 0 0 0 3 5 42000305
+0 0 0 0 0 0 4 5 42000405
+0 0 0 0 0 0 5 5 42000505
+0 0 0 0 0 0 6 5 42000605
+0 0 0 0 0 0 7 5 42000705
+0 0 0 0 0 0 8 5 42000805
+0 0 0 0 0 0 9 5 42000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 -42000105
+1 0 0 0 0 0 1 5 42000105
+1 0 0 0 0 0 2 5 42000205
+1 0 0 0 0 0 3 5 42000305
+1 0 0 0 0 0 4 5 42000405
+1 0 0 0 0 0 5 5 42000505
+1 0 0 0 0 0 6 5 42000605
+1 0 0 0 0 0 7 5 42000705
+1 0 0 0 0 0 8 5 42000805
+1 0 0 0 0 0 9 5 42000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fxy.zl b/CarpetAttic/Cart3dTest/test/quadrant/fxy.zl
new file mode 100644
index 000000000..50eef1c0f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fxy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy z (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 42000100
+0 0 0 0 0 0 1 1 42000101
+0 0 0 0 0 0 1 2 42000102
+0 0 0 0 0 0 1 3 42000103
+0 0 0 0 0 0 1 4 42000104
+0 0 0 0 0 0 1 5 42000105
+0 0 0 0 0 0 1 6 42000106
+0 0 0 0 0 0 1 7 42000107
+0 0 0 0 0 0 1 8 42000108
+0 0 0 0 0 0 1 9 42000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 42000100
+1 0 0 0 0 0 1 1 42000101
+1 0 0 0 0 0 1 2 42000102
+1 0 0 0 0 0 1 3 42000103
+1 0 0 0 0 0 1 4 42000104
+1 0 0 0 0 0 1 5 42000105
+1 0 0 0 0 0 1 6 42000106
+1 0 0 0 0 0 1 7 42000107
+1 0 0 0 0 0 1 8 42000108
+1 0 0 0 0 0 1 9 42000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fxz.xl b/CarpetAttic/Cart3dTest/test/quadrant/fxz.xl
new file mode 100644
index 000000000..4e6e40ef5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fxz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz x (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 43000105
+0 0 0 0 0 1 1 5 43010105
+0 0 0 0 0 2 1 5 43020105
+0 0 0 0 0 3 1 5 43030105
+0 0 0 0 0 4 1 5 43040105
+0 0 0 0 0 5 1 5 43050105
+0 0 0 0 0 6 1 5 43060105
+0 0 0 0 0 7 1 5 43070105
+0 0 0 0 0 8 1 5 43080105
+0 0 0 0 0 9 1 5 43090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 43000105
+1 0 0 0 0 1 1 5 43010105
+1 0 0 0 0 2 1 5 43020105
+1 0 0 0 0 3 1 5 43030105
+1 0 0 0 0 4 1 5 43040105
+1 0 0 0 0 5 1 5 43050105
+1 0 0 0 0 6 1 5 43060105
+1 0 0 0 0 7 1 5 43070105
+1 0 0 0 0 8 1 5 43080105
+1 0 0 0 0 9 1 5 43090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fxz.yl b/CarpetAttic/Cart3dTest/test/quadrant/fxz.yl
new file mode 100644
index 000000000..ee6cb44b1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fxz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz y (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 43000005
+0 0 0 0 0 0 1 5 43000105
+0 0 0 0 0 0 2 5 43000205
+0 0 0 0 0 0 3 5 43000305
+0 0 0 0 0 0 4 5 43000405
+0 0 0 0 0 0 5 5 43000505
+0 0 0 0 0 0 6 5 43000605
+0 0 0 0 0 0 7 5 43000705
+0 0 0 0 0 0 8 5 43000805
+0 0 0 0 0 0 9 5 43000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 43000105
+1 0 0 0 0 0 1 5 43000105
+1 0 0 0 0 0 2 5 43000205
+1 0 0 0 0 0 3 5 43000305
+1 0 0 0 0 0 4 5 43000405
+1 0 0 0 0 0 5 5 43000505
+1 0 0 0 0 0 6 5 43000605
+1 0 0 0 0 0 7 5 43000705
+1 0 0 0 0 0 8 5 43000805
+1 0 0 0 0 0 9 5 43000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fxz.zl b/CarpetAttic/Cart3dTest/test/quadrant/fxz.zl
new file mode 100644
index 000000000..a833696d3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fxz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz z (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 43000100
+0 0 0 0 0 0 1 1 43000101
+0 0 0 0 0 0 1 2 43000102
+0 0 0 0 0 0 1 3 43000103
+0 0 0 0 0 0 1 4 43000104
+0 0 0 0 0 0 1 5 43000105
+0 0 0 0 0 0 1 6 43000106
+0 0 0 0 0 0 1 7 43000107
+0 0 0 0 0 0 1 8 43000108
+0 0 0 0 0 0 1 9 43000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 43000100
+1 0 0 0 0 0 1 1 43000101
+1 0 0 0 0 0 1 2 43000102
+1 0 0 0 0 0 1 3 43000103
+1 0 0 0 0 0 1 4 43000104
+1 0 0 0 0 0 1 5 43000105
+1 0 0 0 0 0 1 6 43000106
+1 0 0 0 0 0 1 7 43000107
+1 0 0 0 0 0 1 8 43000108
+1 0 0 0 0 0 1 9 43000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fyx.xl b/CarpetAttic/Cart3dTest/test/quadrant/fyx.xl
new file mode 100644
index 000000000..b5d966b83
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fyx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx x (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 44000105
+0 0 0 0 0 1 1 5 44010105
+0 0 0 0 0 2 1 5 44020105
+0 0 0 0 0 3 1 5 44030105
+0 0 0 0 0 4 1 5 44040105
+0 0 0 0 0 5 1 5 44050105
+0 0 0 0 0 6 1 5 44060105
+0 0 0 0 0 7 1 5 44070105
+0 0 0 0 0 8 1 5 44080105
+0 0 0 0 0 9 1 5 44090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 44000105
+1 0 0 0 0 1 1 5 44010105
+1 0 0 0 0 2 1 5 44020105
+1 0 0 0 0 3 1 5 44030105
+1 0 0 0 0 4 1 5 44040105
+1 0 0 0 0 5 1 5 44050105
+1 0 0 0 0 6 1 5 44060105
+1 0 0 0 0 7 1 5 44070105
+1 0 0 0 0 8 1 5 44080105
+1 0 0 0 0 9 1 5 44090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fyx.yl b/CarpetAttic/Cart3dTest/test/quadrant/fyx.yl
new file mode 100644
index 000000000..fbb2463ac
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fyx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx y (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 44000005
+0 0 0 0 0 0 1 5 44000105
+0 0 0 0 0 0 2 5 44000205
+0 0 0 0 0 0 3 5 44000305
+0 0 0 0 0 0 4 5 44000405
+0 0 0 0 0 0 5 5 44000505
+0 0 0 0 0 0 6 5 44000605
+0 0 0 0 0 0 7 5 44000705
+0 0 0 0 0 0 8 5 44000805
+0 0 0 0 0 0 9 5 44000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 -44000105
+1 0 0 0 0 0 1 5 44000105
+1 0 0 0 0 0 2 5 44000205
+1 0 0 0 0 0 3 5 44000305
+1 0 0 0 0 0 4 5 44000405
+1 0 0 0 0 0 5 5 44000505
+1 0 0 0 0 0 6 5 44000605
+1 0 0 0 0 0 7 5 44000705
+1 0 0 0 0 0 8 5 44000805
+1 0 0 0 0 0 9 5 44000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fyx.zl b/CarpetAttic/Cart3dTest/test/quadrant/fyx.zl
new file mode 100644
index 000000000..98d334e95
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fyx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx z (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 44000100
+0 0 0 0 0 0 1 1 44000101
+0 0 0 0 0 0 1 2 44000102
+0 0 0 0 0 0 1 3 44000103
+0 0 0 0 0 0 1 4 44000104
+0 0 0 0 0 0 1 5 44000105
+0 0 0 0 0 0 1 6 44000106
+0 0 0 0 0 0 1 7 44000107
+0 0 0 0 0 0 1 8 44000108
+0 0 0 0 0 0 1 9 44000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 44000100
+1 0 0 0 0 0 1 1 44000101
+1 0 0 0 0 0 1 2 44000102
+1 0 0 0 0 0 1 3 44000103
+1 0 0 0 0 0 1 4 44000104
+1 0 0 0 0 0 1 5 44000105
+1 0 0 0 0 0 1 6 44000106
+1 0 0 0 0 0 1 7 44000107
+1 0 0 0 0 0 1 8 44000108
+1 0 0 0 0 0 1 9 44000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fyy.xl b/CarpetAttic/Cart3dTest/test/quadrant/fyy.xl
new file mode 100644
index 000000000..2d2270ab7
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy x (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 45000105
+0 0 0 0 0 1 1 5 45010105
+0 0 0 0 0 2 1 5 45020105
+0 0 0 0 0 3 1 5 45030105
+0 0 0 0 0 4 1 5 45040105
+0 0 0 0 0 5 1 5 45050105
+0 0 0 0 0 6 1 5 45060105
+0 0 0 0 0 7 1 5 45070105
+0 0 0 0 0 8 1 5 45080105
+0 0 0 0 0 9 1 5 45090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 45000105
+1 0 0 0 0 1 1 5 45010105
+1 0 0 0 0 2 1 5 45020105
+1 0 0 0 0 3 1 5 45030105
+1 0 0 0 0 4 1 5 45040105
+1 0 0 0 0 5 1 5 45050105
+1 0 0 0 0 6 1 5 45060105
+1 0 0 0 0 7 1 5 45070105
+1 0 0 0 0 8 1 5 45080105
+1 0 0 0 0 9 1 5 45090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fyy.yl b/CarpetAttic/Cart3dTest/test/quadrant/fyy.yl
new file mode 100644
index 000000000..f01bc4e64
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy y (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 45000005
+0 0 0 0 0 0 1 5 45000105
+0 0 0 0 0 0 2 5 45000205
+0 0 0 0 0 0 3 5 45000305
+0 0 0 0 0 0 4 5 45000405
+0 0 0 0 0 0 5 5 45000505
+0 0 0 0 0 0 6 5 45000605
+0 0 0 0 0 0 7 5 45000705
+0 0 0 0 0 0 8 5 45000805
+0 0 0 0 0 0 9 5 45000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 45000105
+1 0 0 0 0 0 1 5 45000105
+1 0 0 0 0 0 2 5 45000205
+1 0 0 0 0 0 3 5 45000305
+1 0 0 0 0 0 4 5 45000405
+1 0 0 0 0 0 5 5 45000505
+1 0 0 0 0 0 6 5 45000605
+1 0 0 0 0 0 7 5 45000705
+1 0 0 0 0 0 8 5 45000805
+1 0 0 0 0 0 9 5 45000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fyy.zl b/CarpetAttic/Cart3dTest/test/quadrant/fyy.zl
new file mode 100644
index 000000000..1af5792e7
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy z (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 45000100
+0 0 0 0 0 0 1 1 45000101
+0 0 0 0 0 0 1 2 45000102
+0 0 0 0 0 0 1 3 45000103
+0 0 0 0 0 0 1 4 45000104
+0 0 0 0 0 0 1 5 45000105
+0 0 0 0 0 0 1 6 45000106
+0 0 0 0 0 0 1 7 45000107
+0 0 0 0 0 0 1 8 45000108
+0 0 0 0 0 0 1 9 45000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 45000100
+1 0 0 0 0 0 1 1 45000101
+1 0 0 0 0 0 1 2 45000102
+1 0 0 0 0 0 1 3 45000103
+1 0 0 0 0 0 1 4 45000104
+1 0 0 0 0 0 1 5 45000105
+1 0 0 0 0 0 1 6 45000106
+1 0 0 0 0 0 1 7 45000107
+1 0 0 0 0 0 1 8 45000108
+1 0 0 0 0 0 1 9 45000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fyz.xl b/CarpetAttic/Cart3dTest/test/quadrant/fyz.xl
new file mode 100644
index 000000000..1511cbd22
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz x (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 46000105
+0 0 0 0 0 1 1 5 46010105
+0 0 0 0 0 2 1 5 46020105
+0 0 0 0 0 3 1 5 46030105
+0 0 0 0 0 4 1 5 46040105
+0 0 0 0 0 5 1 5 46050105
+0 0 0 0 0 6 1 5 46060105
+0 0 0 0 0 7 1 5 46070105
+0 0 0 0 0 8 1 5 46080105
+0 0 0 0 0 9 1 5 46090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 46000105
+1 0 0 0 0 1 1 5 46010105
+1 0 0 0 0 2 1 5 46020105
+1 0 0 0 0 3 1 5 46030105
+1 0 0 0 0 4 1 5 46040105
+1 0 0 0 0 5 1 5 46050105
+1 0 0 0 0 6 1 5 46060105
+1 0 0 0 0 7 1 5 46070105
+1 0 0 0 0 8 1 5 46080105
+1 0 0 0 0 9 1 5 46090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fyz.yl b/CarpetAttic/Cart3dTest/test/quadrant/fyz.yl
new file mode 100644
index 000000000..c3f4ba018
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz y (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 46000005
+0 0 0 0 0 0 1 5 46000105
+0 0 0 0 0 0 2 5 46000205
+0 0 0 0 0 0 3 5 46000305
+0 0 0 0 0 0 4 5 46000405
+0 0 0 0 0 0 5 5 46000505
+0 0 0 0 0 0 6 5 46000605
+0 0 0 0 0 0 7 5 46000705
+0 0 0 0 0 0 8 5 46000805
+0 0 0 0 0 0 9 5 46000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 -46000105
+1 0 0 0 0 0 1 5 46000105
+1 0 0 0 0 0 2 5 46000205
+1 0 0 0 0 0 3 5 46000305
+1 0 0 0 0 0 4 5 46000405
+1 0 0 0 0 0 5 5 46000505
+1 0 0 0 0 0 6 5 46000605
+1 0 0 0 0 0 7 5 46000705
+1 0 0 0 0 0 8 5 46000805
+1 0 0 0 0 0 9 5 46000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fyz.zl b/CarpetAttic/Cart3dTest/test/quadrant/fyz.zl
new file mode 100644
index 000000000..198097eb5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz z (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 46000100
+0 0 0 0 0 0 1 1 46000101
+0 0 0 0 0 0 1 2 46000102
+0 0 0 0 0 0 1 3 46000103
+0 0 0 0 0 0 1 4 46000104
+0 0 0 0 0 0 1 5 46000105
+0 0 0 0 0 0 1 6 46000106
+0 0 0 0 0 0 1 7 46000107
+0 0 0 0 0 0 1 8 46000108
+0 0 0 0 0 0 1 9 46000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 46000100
+1 0 0 0 0 0 1 1 46000101
+1 0 0 0 0 0 1 2 46000102
+1 0 0 0 0 0 1 3 46000103
+1 0 0 0 0 0 1 4 46000104
+1 0 0 0 0 0 1 5 46000105
+1 0 0 0 0 0 1 6 46000106
+1 0 0 0 0 0 1 7 46000107
+1 0 0 0 0 0 1 8 46000108
+1 0 0 0 0 0 1 9 46000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fzx.xl b/CarpetAttic/Cart3dTest/test/quadrant/fzx.xl
new file mode 100644
index 000000000..7d5236a48
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fzx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx x (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 47000105
+0 0 0 0 0 1 1 5 47010105
+0 0 0 0 0 2 1 5 47020105
+0 0 0 0 0 3 1 5 47030105
+0 0 0 0 0 4 1 5 47040105
+0 0 0 0 0 5 1 5 47050105
+0 0 0 0 0 6 1 5 47060105
+0 0 0 0 0 7 1 5 47070105
+0 0 0 0 0 8 1 5 47080105
+0 0 0 0 0 9 1 5 47090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 47000105
+1 0 0 0 0 1 1 5 47010105
+1 0 0 0 0 2 1 5 47020105
+1 0 0 0 0 3 1 5 47030105
+1 0 0 0 0 4 1 5 47040105
+1 0 0 0 0 5 1 5 47050105
+1 0 0 0 0 6 1 5 47060105
+1 0 0 0 0 7 1 5 47070105
+1 0 0 0 0 8 1 5 47080105
+1 0 0 0 0 9 1 5 47090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fzx.yl b/CarpetAttic/Cart3dTest/test/quadrant/fzx.yl
new file mode 100644
index 000000000..8476e5210
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fzx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx y (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 47000005
+0 0 0 0 0 0 1 5 47000105
+0 0 0 0 0 0 2 5 47000205
+0 0 0 0 0 0 3 5 47000305
+0 0 0 0 0 0 4 5 47000405
+0 0 0 0 0 0 5 5 47000505
+0 0 0 0 0 0 6 5 47000605
+0 0 0 0 0 0 7 5 47000705
+0 0 0 0 0 0 8 5 47000805
+0 0 0 0 0 0 9 5 47000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 47000105
+1 0 0 0 0 0 1 5 47000105
+1 0 0 0 0 0 2 5 47000205
+1 0 0 0 0 0 3 5 47000305
+1 0 0 0 0 0 4 5 47000405
+1 0 0 0 0 0 5 5 47000505
+1 0 0 0 0 0 6 5 47000605
+1 0 0 0 0 0 7 5 47000705
+1 0 0 0 0 0 8 5 47000805
+1 0 0 0 0 0 9 5 47000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fzx.zl b/CarpetAttic/Cart3dTest/test/quadrant/fzx.zl
new file mode 100644
index 000000000..882a1b1da
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fzx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx z (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 47000100
+0 0 0 0 0 0 1 1 47000101
+0 0 0 0 0 0 1 2 47000102
+0 0 0 0 0 0 1 3 47000103
+0 0 0 0 0 0 1 4 47000104
+0 0 0 0 0 0 1 5 47000105
+0 0 0 0 0 0 1 6 47000106
+0 0 0 0 0 0 1 7 47000107
+0 0 0 0 0 0 1 8 47000108
+0 0 0 0 0 0 1 9 47000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 47000100
+1 0 0 0 0 0 1 1 47000101
+1 0 0 0 0 0 1 2 47000102
+1 0 0 0 0 0 1 3 47000103
+1 0 0 0 0 0 1 4 47000104
+1 0 0 0 0 0 1 5 47000105
+1 0 0 0 0 0 1 6 47000106
+1 0 0 0 0 0 1 7 47000107
+1 0 0 0 0 0 1 8 47000108
+1 0 0 0 0 0 1 9 47000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fzy.xl b/CarpetAttic/Cart3dTest/test/quadrant/fzy.xl
new file mode 100644
index 000000000..ea27ee9fa
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fzy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy x (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 48000105
+0 0 0 0 0 1 1 5 48010105
+0 0 0 0 0 2 1 5 48020105
+0 0 0 0 0 3 1 5 48030105
+0 0 0 0 0 4 1 5 48040105
+0 0 0 0 0 5 1 5 48050105
+0 0 0 0 0 6 1 5 48060105
+0 0 0 0 0 7 1 5 48070105
+0 0 0 0 0 8 1 5 48080105
+0 0 0 0 0 9 1 5 48090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 48000105
+1 0 0 0 0 1 1 5 48010105
+1 0 0 0 0 2 1 5 48020105
+1 0 0 0 0 3 1 5 48030105
+1 0 0 0 0 4 1 5 48040105
+1 0 0 0 0 5 1 5 48050105
+1 0 0 0 0 6 1 5 48060105
+1 0 0 0 0 7 1 5 48070105
+1 0 0 0 0 8 1 5 48080105
+1 0 0 0 0 9 1 5 48090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fzy.yl b/CarpetAttic/Cart3dTest/test/quadrant/fzy.yl
new file mode 100644
index 000000000..e3c7eb1ed
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fzy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy y (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 48000005
+0 0 0 0 0 0 1 5 48000105
+0 0 0 0 0 0 2 5 48000205
+0 0 0 0 0 0 3 5 48000305
+0 0 0 0 0 0 4 5 48000405
+0 0 0 0 0 0 5 5 48000505
+0 0 0 0 0 0 6 5 48000605
+0 0 0 0 0 0 7 5 48000705
+0 0 0 0 0 0 8 5 48000805
+0 0 0 0 0 0 9 5 48000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 -48000105
+1 0 0 0 0 0 1 5 48000105
+1 0 0 0 0 0 2 5 48000205
+1 0 0 0 0 0 3 5 48000305
+1 0 0 0 0 0 4 5 48000405
+1 0 0 0 0 0 5 5 48000505
+1 0 0 0 0 0 6 5 48000605
+1 0 0 0 0 0 7 5 48000705
+1 0 0 0 0 0 8 5 48000805
+1 0 0 0 0 0 9 5 48000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fzy.zl b/CarpetAttic/Cart3dTest/test/quadrant/fzy.zl
new file mode 100644
index 000000000..4baa764b1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fzy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy z (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 48000100
+0 0 0 0 0 0 1 1 48000101
+0 0 0 0 0 0 1 2 48000102
+0 0 0 0 0 0 1 3 48000103
+0 0 0 0 0 0 1 4 48000104
+0 0 0 0 0 0 1 5 48000105
+0 0 0 0 0 0 1 6 48000106
+0 0 0 0 0 0 1 7 48000107
+0 0 0 0 0 0 1 8 48000108
+0 0 0 0 0 0 1 9 48000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 48000100
+1 0 0 0 0 0 1 1 48000101
+1 0 0 0 0 0 1 2 48000102
+1 0 0 0 0 0 1 3 48000103
+1 0 0 0 0 0 1 4 48000104
+1 0 0 0 0 0 1 5 48000105
+1 0 0 0 0 0 1 6 48000106
+1 0 0 0 0 0 1 7 48000107
+1 0 0 0 0 0 1 8 48000108
+1 0 0 0 0 0 1 9 48000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fzz.xl b/CarpetAttic/Cart3dTest/test/quadrant/fzz.xl
new file mode 100644
index 000000000..4a3af627e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz x (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 49000105
+0 0 0 0 0 1 1 5 49010105
+0 0 0 0 0 2 1 5 49020105
+0 0 0 0 0 3 1 5 49030105
+0 0 0 0 0 4 1 5 49040105
+0 0 0 0 0 5 1 5 49050105
+0 0 0 0 0 6 1 5 49060105
+0 0 0 0 0 7 1 5 49070105
+0 0 0 0 0 8 1 5 49080105
+0 0 0 0 0 9 1 5 49090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 49000105
+1 0 0 0 0 1 1 5 49010105
+1 0 0 0 0 2 1 5 49020105
+1 0 0 0 0 3 1 5 49030105
+1 0 0 0 0 4 1 5 49040105
+1 0 0 0 0 5 1 5 49050105
+1 0 0 0 0 6 1 5 49060105
+1 0 0 0 0 7 1 5 49070105
+1 0 0 0 0 8 1 5 49080105
+1 0 0 0 0 9 1 5 49090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fzz.yl b/CarpetAttic/Cart3dTest/test/quadrant/fzz.yl
new file mode 100644
index 000000000..18f30ff73
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz y (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 49000005
+0 0 0 0 0 0 1 5 49000105
+0 0 0 0 0 0 2 5 49000205
+0 0 0 0 0 0 3 5 49000305
+0 0 0 0 0 0 4 5 49000405
+0 0 0 0 0 0 5 5 49000505
+0 0 0 0 0 0 6 5 49000605
+0 0 0 0 0 0 7 5 49000705
+0 0 0 0 0 0 8 5 49000805
+0 0 0 0 0 0 9 5 49000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 49000105
+1 0 0 0 0 0 1 5 49000105
+1 0 0 0 0 0 2 5 49000205
+1 0 0 0 0 0 3 5 49000305
+1 0 0 0 0 0 4 5 49000405
+1 0 0 0 0 0 5 5 49000505
+1 0 0 0 0 0 6 5 49000605
+1 0 0 0 0 0 7 5 49000705
+1 0 0 0 0 0 8 5 49000805
+1 0 0 0 0 0 9 5 49000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/fzz.zl b/CarpetAttic/Cart3dTest/test/quadrant/fzz.zl
new file mode 100644
index 000000000..2c6b7609b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/fzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz z (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 49000100
+0 0 0 0 0 0 1 1 49000101
+0 0 0 0 0 0 1 2 49000102
+0 0 0 0 0 0 1 3 49000103
+0 0 0 0 0 0 1 4 49000104
+0 0 0 0 0 0 1 5 49000105
+0 0 0 0 0 0 1 6 49000106
+0 0 0 0 0 0 1 7 49000107
+0 0 0 0 0 0 1 8 49000108
+0 0 0 0 0 0 1 9 49000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 49000100
+1 0 0 0 0 0 1 1 49000101
+1 0 0 0 0 0 1 2 49000102
+1 0 0 0 0 0 1 3 49000103
+1 0 0 0 0 0 1 4 49000104
+1 0 0 0 0 0 1 5 49000105
+1 0 0 0 0 0 1 6 49000106
+1 0 0 0 0 0 1 7 49000107
+1 0 0 0 0 0 1 8 49000108
+1 0 0 0 0 0 1 9 49000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/s.xl b/CarpetAttic/Cart3dTest/test/quadrant/s.xl
new file mode 100644
index 000000000..fdf407fcd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/s.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::s x (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 1000105
+0 0 0 0 0 1 1 5 1010105
+0 0 0 0 0 2 1 5 1020105
+0 0 0 0 0 3 1 5 1030105
+0 0 0 0 0 4 1 5 1040105
+0 0 0 0 0 5 1 5 1050105
+0 0 0 0 0 6 1 5 1060105
+0 0 0 0 0 7 1 5 1070105
+0 0 0 0 0 8 1 5 1080105
+0 0 0 0 0 9 1 5 1090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 1000105
+1 0 0 0 0 1 1 5 1010105
+1 0 0 0 0 2 1 5 1020105
+1 0 0 0 0 3 1 5 1030105
+1 0 0 0 0 4 1 5 1040105
+1 0 0 0 0 5 1 5 1050105
+1 0 0 0 0 6 1 5 1060105
+1 0 0 0 0 7 1 5 1070105
+1 0 0 0 0 8 1 5 1080105
+1 0 0 0 0 9 1 5 1090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/s.yl b/CarpetAttic/Cart3dTest/test/quadrant/s.yl
new file mode 100644
index 000000000..b7ef5e6db
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/s.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::s y (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 1000005
+0 0 0 0 0 0 1 5 1000105
+0 0 0 0 0 0 2 5 1000205
+0 0 0 0 0 0 3 5 1000305
+0 0 0 0 0 0 4 5 1000405
+0 0 0 0 0 0 5 5 1000505
+0 0 0 0 0 0 6 5 1000605
+0 0 0 0 0 0 7 5 1000705
+0 0 0 0 0 0 8 5 1000805
+0 0 0 0 0 0 9 5 1000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 1000105
+1 0 0 0 0 0 1 5 1000105
+1 0 0 0 0 0 2 5 1000205
+1 0 0 0 0 0 3 5 1000305
+1 0 0 0 0 0 4 5 1000405
+1 0 0 0 0 0 5 5 1000505
+1 0 0 0 0 0 6 5 1000605
+1 0 0 0 0 0 7 5 1000705
+1 0 0 0 0 0 8 5 1000805
+1 0 0 0 0 0 9 5 1000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/s.zl b/CarpetAttic/Cart3dTest/test/quadrant/s.zl
new file mode 100644
index 000000000..d806aad3e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/s.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::s z (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 1000100
+0 0 0 0 0 0 1 1 1000101
+0 0 0 0 0 0 1 2 1000102
+0 0 0 0 0 0 1 3 1000103
+0 0 0 0 0 0 1 4 1000104
+0 0 0 0 0 0 1 5 1000105
+0 0 0 0 0 0 1 6 1000106
+0 0 0 0 0 0 1 7 1000107
+0 0 0 0 0 0 1 8 1000108
+0 0 0 0 0 0 1 9 1000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 1000100
+1 0 0 0 0 0 1 1 1000101
+1 0 0 0 0 0 1 2 1000102
+1 0 0 0 0 0 1 3 1000103
+1 0 0 0 0 0 1 4 1000104
+1 0 0 0 0 0 1 5 1000105
+1 0 0 0 0 0 1 6 1000106
+1 0 0 0 0 0 1 7 1000107
+1 0 0 0 0 0 1 8 1000108
+1 0 0 0 0 0 1 9 1000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/quadrant/spher3d_r.xl
new file mode 100644
index 000000000..d01051ad6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/spher3d_r.xl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 0.259807621135332
+0 0 0 0 0 1 1 5 0.49749371855331
+0 0 0 0 0 2 1 5 0.779422863405995
+0 0 0 0 0 3 1 5 1.07121426428143
+0 0 0 0 0 4 1 5 1.36656503687164
+0 0 0 0 0 5 1 5 1.66358047596141
+0 0 0 0 0 6 1 5 1.9615045245933
+0 0 0 0 0 7 1 5 2.2599778759979
+0 0 0 0 0 8 1 5 2.5588083163848
+0 0 0 0 0 9 1 5 2.85788383248865
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 0.259807621135332
+1 0 0 0 0 1 1 5 0.49749371855331
+1 0 0 0 0 2 1 5 0.779422863405995
+1 0 0 0 0 3 1 5 1.07121426428143
+1 0 0 0 0 4 1 5 1.36656503687164
+1 0 0 0 0 5 1 5 1.66358047596141
+1 0 0 0 0 6 1 5 1.9615045245933
+1 0 0 0 0 7 1 5 2.2599778759979
+1 0 0 0 0 8 1 5 2.5588083163848
+1 0 0 0 0 9 1 5 2.85788383248865
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/quadrant/spher3d_r.yl
new file mode 100644
index 000000000..d6cf48a8f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/spher3d_r.yl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 0.259807621135332
+0 0 0 0 0 0 1 5 0.259807621135332
+0 0 0 0 0 0 2 5 0.49749371855331
+0 0 0 0 0 0 3 5 0.779422863405995
+0 0 0 0 0 0 4 5 1.07121426428143
+0 0 0 0 0 0 5 5 1.36656503687164
+0 0 0 0 0 0 6 5 1.66358047596141
+0 0 0 0 0 0 7 5 1.9615045245933
+0 0 0 0 0 0 8 5 2.2599778759979
+0 0 0 0 0 0 9 5 2.5588083163848
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 0.259807621135332
+1 0 0 0 0 0 1 5 0.259807621135332
+1 0 0 0 0 0 2 5 0.49749371855331
+1 0 0 0 0 0 3 5 0.779422863405995
+1 0 0 0 0 0 4 5 1.07121426428143
+1 0 0 0 0 0 5 5 1.36656503687164
+1 0 0 0 0 0 6 5 1.66358047596141
+1 0 0 0 0 0 7 5 1.9615045245933
+1 0 0 0 0 0 8 5 2.2599778759979
+1 0 0 0 0 0 9 5 2.5588083163848
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/quadrant/spher3d_r.zl
new file mode 100644
index 000000000..8d275dd3b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/spher3d_r.zl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 1.36656503687164
+0 0 0 0 0 0 1 1 1.07121426428143
+0 0 0 0 0 0 1 2 0.779422863405995
+0 0 0 0 0 0 1 3 0.49749371855331
+0 0 0 0 0 0 1 4 0.259807621135332
+0 0 0 0 0 0 1 5 0.259807621135332
+0 0 0 0 0 0 1 6 0.49749371855331
+0 0 0 0 0 0 1 7 0.779422863405995
+0 0 0 0 0 0 1 8 1.07121426428143
+0 0 0 0 0 0 1 9 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 1.36656503687164
+1 0 0 0 0 0 1 1 1.07121426428143
+1 0 0 0 0 0 1 2 0.779422863405995
+1 0 0 0 0 0 1 3 0.49749371855331
+1 0 0 0 0 0 1 4 0.259807621135332
+1 0 0 0 0 0 1 5 0.259807621135332
+1 0 0 0 0 0 1 6 0.49749371855331
+1 0 0 0 0 0 1 7 0.779422863405995
+1 0 0 0 0 0 1 8 1.07121426428143
+1 0 0 0 0 0 1 9 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/txx.xl b/CarpetAttic/Cart3dTest/test/quadrant/txx.xl
new file mode 100644
index 000000000..b285daee6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/txx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx x (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 21000105
+0 0 0 0 0 1 1 5 21010105
+0 0 0 0 0 2 1 5 21020105
+0 0 0 0 0 3 1 5 21030105
+0 0 0 0 0 4 1 5 21040105
+0 0 0 0 0 5 1 5 21050105
+0 0 0 0 0 6 1 5 21060105
+0 0 0 0 0 7 1 5 21070105
+0 0 0 0 0 8 1 5 21080105
+0 0 0 0 0 9 1 5 21090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 21000105
+1 0 0 0 0 1 1 5 21010105
+1 0 0 0 0 2 1 5 21020105
+1 0 0 0 0 3 1 5 21030105
+1 0 0 0 0 4 1 5 21040105
+1 0 0 0 0 5 1 5 21050105
+1 0 0 0 0 6 1 5 21060105
+1 0 0 0 0 7 1 5 21070105
+1 0 0 0 0 8 1 5 21080105
+1 0 0 0 0 9 1 5 21090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/txx.yl b/CarpetAttic/Cart3dTest/test/quadrant/txx.yl
new file mode 100644
index 000000000..e7f6f1f5e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/txx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx y (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 21000005
+0 0 0 0 0 0 1 5 21000105
+0 0 0 0 0 0 2 5 21000205
+0 0 0 0 0 0 3 5 21000305
+0 0 0 0 0 0 4 5 21000405
+0 0 0 0 0 0 5 5 21000505
+0 0 0 0 0 0 6 5 21000605
+0 0 0 0 0 0 7 5 21000705
+0 0 0 0 0 0 8 5 21000805
+0 0 0 0 0 0 9 5 21000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 21000105
+1 0 0 0 0 0 1 5 21000105
+1 0 0 0 0 0 2 5 21000205
+1 0 0 0 0 0 3 5 21000305
+1 0 0 0 0 0 4 5 21000405
+1 0 0 0 0 0 5 5 21000505
+1 0 0 0 0 0 6 5 21000605
+1 0 0 0 0 0 7 5 21000705
+1 0 0 0 0 0 8 5 21000805
+1 0 0 0 0 0 9 5 21000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/txx.zl b/CarpetAttic/Cart3dTest/test/quadrant/txx.zl
new file mode 100644
index 000000000..7a52adf1f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/txx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx z (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 21000100
+0 0 0 0 0 0 1 1 21000101
+0 0 0 0 0 0 1 2 21000102
+0 0 0 0 0 0 1 3 21000103
+0 0 0 0 0 0 1 4 21000104
+0 0 0 0 0 0 1 5 21000105
+0 0 0 0 0 0 1 6 21000106
+0 0 0 0 0 0 1 7 21000107
+0 0 0 0 0 0 1 8 21000108
+0 0 0 0 0 0 1 9 21000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 21000100
+1 0 0 0 0 0 1 1 21000101
+1 0 0 0 0 0 1 2 21000102
+1 0 0 0 0 0 1 3 21000103
+1 0 0 0 0 0 1 4 21000104
+1 0 0 0 0 0 1 5 21000105
+1 0 0 0 0 0 1 6 21000106
+1 0 0 0 0 0 1 7 21000107
+1 0 0 0 0 0 1 8 21000108
+1 0 0 0 0 0 1 9 21000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/txy.xl b/CarpetAttic/Cart3dTest/test/quadrant/txy.xl
new file mode 100644
index 000000000..0c86c4ec1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/txy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy x (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 22000105
+0 0 0 0 0 1 1 5 22010105
+0 0 0 0 0 2 1 5 22020105
+0 0 0 0 0 3 1 5 22030105
+0 0 0 0 0 4 1 5 22040105
+0 0 0 0 0 5 1 5 22050105
+0 0 0 0 0 6 1 5 22060105
+0 0 0 0 0 7 1 5 22070105
+0 0 0 0 0 8 1 5 22080105
+0 0 0 0 0 9 1 5 22090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 22000105
+1 0 0 0 0 1 1 5 22010105
+1 0 0 0 0 2 1 5 22020105
+1 0 0 0 0 3 1 5 22030105
+1 0 0 0 0 4 1 5 22040105
+1 0 0 0 0 5 1 5 22050105
+1 0 0 0 0 6 1 5 22060105
+1 0 0 0 0 7 1 5 22070105
+1 0 0 0 0 8 1 5 22080105
+1 0 0 0 0 9 1 5 22090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/txy.yl b/CarpetAttic/Cart3dTest/test/quadrant/txy.yl
new file mode 100644
index 000000000..c9ca944f3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/txy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy y (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 22000005
+0 0 0 0 0 0 1 5 22000105
+0 0 0 0 0 0 2 5 22000205
+0 0 0 0 0 0 3 5 22000305
+0 0 0 0 0 0 4 5 22000405
+0 0 0 0 0 0 5 5 22000505
+0 0 0 0 0 0 6 5 22000605
+0 0 0 0 0 0 7 5 22000705
+0 0 0 0 0 0 8 5 22000805
+0 0 0 0 0 0 9 5 22000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 -22000105
+1 0 0 0 0 0 1 5 22000105
+1 0 0 0 0 0 2 5 22000205
+1 0 0 0 0 0 3 5 22000305
+1 0 0 0 0 0 4 5 22000405
+1 0 0 0 0 0 5 5 22000505
+1 0 0 0 0 0 6 5 22000605
+1 0 0 0 0 0 7 5 22000705
+1 0 0 0 0 0 8 5 22000805
+1 0 0 0 0 0 9 5 22000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/txy.zl b/CarpetAttic/Cart3dTest/test/quadrant/txy.zl
new file mode 100644
index 000000000..55c8fe543
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/txy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy z (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 22000100
+0 0 0 0 0 0 1 1 22000101
+0 0 0 0 0 0 1 2 22000102
+0 0 0 0 0 0 1 3 22000103
+0 0 0 0 0 0 1 4 22000104
+0 0 0 0 0 0 1 5 22000105
+0 0 0 0 0 0 1 6 22000106
+0 0 0 0 0 0 1 7 22000107
+0 0 0 0 0 0 1 8 22000108
+0 0 0 0 0 0 1 9 22000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 22000100
+1 0 0 0 0 0 1 1 22000101
+1 0 0 0 0 0 1 2 22000102
+1 0 0 0 0 0 1 3 22000103
+1 0 0 0 0 0 1 4 22000104
+1 0 0 0 0 0 1 5 22000105
+1 0 0 0 0 0 1 6 22000106
+1 0 0 0 0 0 1 7 22000107
+1 0 0 0 0 0 1 8 22000108
+1 0 0 0 0 0 1 9 22000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/txz.xl b/CarpetAttic/Cart3dTest/test/quadrant/txz.xl
new file mode 100644
index 000000000..faacecdad
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/txz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz x (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 23000105
+0 0 0 0 0 1 1 5 23010105
+0 0 0 0 0 2 1 5 23020105
+0 0 0 0 0 3 1 5 23030105
+0 0 0 0 0 4 1 5 23040105
+0 0 0 0 0 5 1 5 23050105
+0 0 0 0 0 6 1 5 23060105
+0 0 0 0 0 7 1 5 23070105
+0 0 0 0 0 8 1 5 23080105
+0 0 0 0 0 9 1 5 23090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 23000105
+1 0 0 0 0 1 1 5 23010105
+1 0 0 0 0 2 1 5 23020105
+1 0 0 0 0 3 1 5 23030105
+1 0 0 0 0 4 1 5 23040105
+1 0 0 0 0 5 1 5 23050105
+1 0 0 0 0 6 1 5 23060105
+1 0 0 0 0 7 1 5 23070105
+1 0 0 0 0 8 1 5 23080105
+1 0 0 0 0 9 1 5 23090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/txz.yl b/CarpetAttic/Cart3dTest/test/quadrant/txz.yl
new file mode 100644
index 000000000..4b40ce463
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/txz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz y (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 23000005
+0 0 0 0 0 0 1 5 23000105
+0 0 0 0 0 0 2 5 23000205
+0 0 0 0 0 0 3 5 23000305
+0 0 0 0 0 0 4 5 23000405
+0 0 0 0 0 0 5 5 23000505
+0 0 0 0 0 0 6 5 23000605
+0 0 0 0 0 0 7 5 23000705
+0 0 0 0 0 0 8 5 23000805
+0 0 0 0 0 0 9 5 23000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 23000105
+1 0 0 0 0 0 1 5 23000105
+1 0 0 0 0 0 2 5 23000205
+1 0 0 0 0 0 3 5 23000305
+1 0 0 0 0 0 4 5 23000405
+1 0 0 0 0 0 5 5 23000505
+1 0 0 0 0 0 6 5 23000605
+1 0 0 0 0 0 7 5 23000705
+1 0 0 0 0 0 8 5 23000805
+1 0 0 0 0 0 9 5 23000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/txz.zl b/CarpetAttic/Cart3dTest/test/quadrant/txz.zl
new file mode 100644
index 000000000..bac3693c4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/txz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz z (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 23000100
+0 0 0 0 0 0 1 1 23000101
+0 0 0 0 0 0 1 2 23000102
+0 0 0 0 0 0 1 3 23000103
+0 0 0 0 0 0 1 4 23000104
+0 0 0 0 0 0 1 5 23000105
+0 0 0 0 0 0 1 6 23000106
+0 0 0 0 0 0 1 7 23000107
+0 0 0 0 0 0 1 8 23000108
+0 0 0 0 0 0 1 9 23000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 23000100
+1 0 0 0 0 0 1 1 23000101
+1 0 0 0 0 0 1 2 23000102
+1 0 0 0 0 0 1 3 23000103
+1 0 0 0 0 0 1 4 23000104
+1 0 0 0 0 0 1 5 23000105
+1 0 0 0 0 0 1 6 23000106
+1 0 0 0 0 0 1 7 23000107
+1 0 0 0 0 0 1 8 23000108
+1 0 0 0 0 0 1 9 23000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/tyy.xl b/CarpetAttic/Cart3dTest/test/quadrant/tyy.xl
new file mode 100644
index 000000000..566c0922e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/tyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy x (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 24000105
+0 0 0 0 0 1 1 5 24010105
+0 0 0 0 0 2 1 5 24020105
+0 0 0 0 0 3 1 5 24030105
+0 0 0 0 0 4 1 5 24040105
+0 0 0 0 0 5 1 5 24050105
+0 0 0 0 0 6 1 5 24060105
+0 0 0 0 0 7 1 5 24070105
+0 0 0 0 0 8 1 5 24080105
+0 0 0 0 0 9 1 5 24090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 24000105
+1 0 0 0 0 1 1 5 24010105
+1 0 0 0 0 2 1 5 24020105
+1 0 0 0 0 3 1 5 24030105
+1 0 0 0 0 4 1 5 24040105
+1 0 0 0 0 5 1 5 24050105
+1 0 0 0 0 6 1 5 24060105
+1 0 0 0 0 7 1 5 24070105
+1 0 0 0 0 8 1 5 24080105
+1 0 0 0 0 9 1 5 24090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/tyy.yl b/CarpetAttic/Cart3dTest/test/quadrant/tyy.yl
new file mode 100644
index 000000000..0b86bc2a7
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/tyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy y (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 24000005
+0 0 0 0 0 0 1 5 24000105
+0 0 0 0 0 0 2 5 24000205
+0 0 0 0 0 0 3 5 24000305
+0 0 0 0 0 0 4 5 24000405
+0 0 0 0 0 0 5 5 24000505
+0 0 0 0 0 0 6 5 24000605
+0 0 0 0 0 0 7 5 24000705
+0 0 0 0 0 0 8 5 24000805
+0 0 0 0 0 0 9 5 24000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 24000105
+1 0 0 0 0 0 1 5 24000105
+1 0 0 0 0 0 2 5 24000205
+1 0 0 0 0 0 3 5 24000305
+1 0 0 0 0 0 4 5 24000405
+1 0 0 0 0 0 5 5 24000505
+1 0 0 0 0 0 6 5 24000605
+1 0 0 0 0 0 7 5 24000705
+1 0 0 0 0 0 8 5 24000805
+1 0 0 0 0 0 9 5 24000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/tyy.zl b/CarpetAttic/Cart3dTest/test/quadrant/tyy.zl
new file mode 100644
index 000000000..ed8d3603d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/tyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy z (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 24000100
+0 0 0 0 0 0 1 1 24000101
+0 0 0 0 0 0 1 2 24000102
+0 0 0 0 0 0 1 3 24000103
+0 0 0 0 0 0 1 4 24000104
+0 0 0 0 0 0 1 5 24000105
+0 0 0 0 0 0 1 6 24000106
+0 0 0 0 0 0 1 7 24000107
+0 0 0 0 0 0 1 8 24000108
+0 0 0 0 0 0 1 9 24000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 24000100
+1 0 0 0 0 0 1 1 24000101
+1 0 0 0 0 0 1 2 24000102
+1 0 0 0 0 0 1 3 24000103
+1 0 0 0 0 0 1 4 24000104
+1 0 0 0 0 0 1 5 24000105
+1 0 0 0 0 0 1 6 24000106
+1 0 0 0 0 0 1 7 24000107
+1 0 0 0 0 0 1 8 24000108
+1 0 0 0 0 0 1 9 24000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/tyz.xl b/CarpetAttic/Cart3dTest/test/quadrant/tyz.xl
new file mode 100644
index 000000000..1cac2cd93
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/tyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz x (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 25000105
+0 0 0 0 0 1 1 5 25010105
+0 0 0 0 0 2 1 5 25020105
+0 0 0 0 0 3 1 5 25030105
+0 0 0 0 0 4 1 5 25040105
+0 0 0 0 0 5 1 5 25050105
+0 0 0 0 0 6 1 5 25060105
+0 0 0 0 0 7 1 5 25070105
+0 0 0 0 0 8 1 5 25080105
+0 0 0 0 0 9 1 5 25090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 25000105
+1 0 0 0 0 1 1 5 25010105
+1 0 0 0 0 2 1 5 25020105
+1 0 0 0 0 3 1 5 25030105
+1 0 0 0 0 4 1 5 25040105
+1 0 0 0 0 5 1 5 25050105
+1 0 0 0 0 6 1 5 25060105
+1 0 0 0 0 7 1 5 25070105
+1 0 0 0 0 8 1 5 25080105
+1 0 0 0 0 9 1 5 25090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/tyz.yl b/CarpetAttic/Cart3dTest/test/quadrant/tyz.yl
new file mode 100644
index 000000000..d3f735ad3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/tyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz y (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 25000005
+0 0 0 0 0 0 1 5 25000105
+0 0 0 0 0 0 2 5 25000205
+0 0 0 0 0 0 3 5 25000305
+0 0 0 0 0 0 4 5 25000405
+0 0 0 0 0 0 5 5 25000505
+0 0 0 0 0 0 6 5 25000605
+0 0 0 0 0 0 7 5 25000705
+0 0 0 0 0 0 8 5 25000805
+0 0 0 0 0 0 9 5 25000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 -25000105
+1 0 0 0 0 0 1 5 25000105
+1 0 0 0 0 0 2 5 25000205
+1 0 0 0 0 0 3 5 25000305
+1 0 0 0 0 0 4 5 25000405
+1 0 0 0 0 0 5 5 25000505
+1 0 0 0 0 0 6 5 25000605
+1 0 0 0 0 0 7 5 25000705
+1 0 0 0 0 0 8 5 25000805
+1 0 0 0 0 0 9 5 25000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/tyz.zl b/CarpetAttic/Cart3dTest/test/quadrant/tyz.zl
new file mode 100644
index 000000000..38dc66d6f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/tyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz z (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 25000100
+0 0 0 0 0 0 1 1 25000101
+0 0 0 0 0 0 1 2 25000102
+0 0 0 0 0 0 1 3 25000103
+0 0 0 0 0 0 1 4 25000104
+0 0 0 0 0 0 1 5 25000105
+0 0 0 0 0 0 1 6 25000106
+0 0 0 0 0 0 1 7 25000107
+0 0 0 0 0 0 1 8 25000108
+0 0 0 0 0 0 1 9 25000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 25000100
+1 0 0 0 0 0 1 1 25000101
+1 0 0 0 0 0 1 2 25000102
+1 0 0 0 0 0 1 3 25000103
+1 0 0 0 0 0 1 4 25000104
+1 0 0 0 0 0 1 5 25000105
+1 0 0 0 0 0 1 6 25000106
+1 0 0 0 0 0 1 7 25000107
+1 0 0 0 0 0 1 8 25000108
+1 0 0 0 0 0 1 9 25000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/tzz.xl b/CarpetAttic/Cart3dTest/test/quadrant/tzz.xl
new file mode 100644
index 000000000..1dfc09b33
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/tzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz x (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 26000105
+0 0 0 0 0 1 1 5 26010105
+0 0 0 0 0 2 1 5 26020105
+0 0 0 0 0 3 1 5 26030105
+0 0 0 0 0 4 1 5 26040105
+0 0 0 0 0 5 1 5 26050105
+0 0 0 0 0 6 1 5 26060105
+0 0 0 0 0 7 1 5 26070105
+0 0 0 0 0 8 1 5 26080105
+0 0 0 0 0 9 1 5 26090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 26000105
+1 0 0 0 0 1 1 5 26010105
+1 0 0 0 0 2 1 5 26020105
+1 0 0 0 0 3 1 5 26030105
+1 0 0 0 0 4 1 5 26040105
+1 0 0 0 0 5 1 5 26050105
+1 0 0 0 0 6 1 5 26060105
+1 0 0 0 0 7 1 5 26070105
+1 0 0 0 0 8 1 5 26080105
+1 0 0 0 0 9 1 5 26090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/tzz.yl b/CarpetAttic/Cart3dTest/test/quadrant/tzz.yl
new file mode 100644
index 000000000..6267389e0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/tzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz y (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 26000005
+0 0 0 0 0 0 1 5 26000105
+0 0 0 0 0 0 2 5 26000205
+0 0 0 0 0 0 3 5 26000305
+0 0 0 0 0 0 4 5 26000405
+0 0 0 0 0 0 5 5 26000505
+0 0 0 0 0 0 6 5 26000605
+0 0 0 0 0 0 7 5 26000705
+0 0 0 0 0 0 8 5 26000805
+0 0 0 0 0 0 9 5 26000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 26000105
+1 0 0 0 0 0 1 5 26000105
+1 0 0 0 0 0 2 5 26000205
+1 0 0 0 0 0 3 5 26000305
+1 0 0 0 0 0 4 5 26000405
+1 0 0 0 0 0 5 5 26000505
+1 0 0 0 0 0 6 5 26000605
+1 0 0 0 0 0 7 5 26000705
+1 0 0 0 0 0 8 5 26000805
+1 0 0 0 0 0 9 5 26000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/tzz.zl b/CarpetAttic/Cart3dTest/test/quadrant/tzz.zl
new file mode 100644
index 000000000..610ec9c66
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/tzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz z (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 26000100
+0 0 0 0 0 0 1 1 26000101
+0 0 0 0 0 0 1 2 26000102
+0 0 0 0 0 0 1 3 26000103
+0 0 0 0 0 0 1 4 26000104
+0 0 0 0 0 0 1 5 26000105
+0 0 0 0 0 0 1 6 26000106
+0 0 0 0 0 0 1 7 26000107
+0 0 0 0 0 0 1 8 26000108
+0 0 0 0 0 0 1 9 26000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 26000100
+1 0 0 0 0 0 1 1 26000101
+1 0 0 0 0 0 1 2 26000102
+1 0 0 0 0 0 1 3 26000103
+1 0 0 0 0 0 1 4 26000104
+1 0 0 0 0 0 1 5 26000105
+1 0 0 0 0 0 1 6 26000106
+1 0 0 0 0 0 1 7 26000107
+1 0 0 0 0 0 1 8 26000108
+1 0 0 0 0 0 1 9 26000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/vx.xl b/CarpetAttic/Cart3dTest/test/quadrant/vx.xl
new file mode 100644
index 000000000..2fae0a603
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/vx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 11000105
+0 0 0 0 0 1 1 5 11010105
+0 0 0 0 0 2 1 5 11020105
+0 0 0 0 0 3 1 5 11030105
+0 0 0 0 0 4 1 5 11040105
+0 0 0 0 0 5 1 5 11050105
+0 0 0 0 0 6 1 5 11060105
+0 0 0 0 0 7 1 5 11070105
+0 0 0 0 0 8 1 5 11080105
+0 0 0 0 0 9 1 5 11090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 11000105
+1 0 0 0 0 1 1 5 11010105
+1 0 0 0 0 2 1 5 11020105
+1 0 0 0 0 3 1 5 11030105
+1 0 0 0 0 4 1 5 11040105
+1 0 0 0 0 5 1 5 11050105
+1 0 0 0 0 6 1 5 11060105
+1 0 0 0 0 7 1 5 11070105
+1 0 0 0 0 8 1 5 11080105
+1 0 0 0 0 9 1 5 11090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/vx.yl b/CarpetAttic/Cart3dTest/test/quadrant/vx.yl
new file mode 100644
index 000000000..0e0aea3f5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/vx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 11000005
+0 0 0 0 0 0 1 5 11000105
+0 0 0 0 0 0 2 5 11000205
+0 0 0 0 0 0 3 5 11000305
+0 0 0 0 0 0 4 5 11000405
+0 0 0 0 0 0 5 5 11000505
+0 0 0 0 0 0 6 5 11000605
+0 0 0 0 0 0 7 5 11000705
+0 0 0 0 0 0 8 5 11000805
+0 0 0 0 0 0 9 5 11000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 11000105
+1 0 0 0 0 0 1 5 11000105
+1 0 0 0 0 0 2 5 11000205
+1 0 0 0 0 0 3 5 11000305
+1 0 0 0 0 0 4 5 11000405
+1 0 0 0 0 0 5 5 11000505
+1 0 0 0 0 0 6 5 11000605
+1 0 0 0 0 0 7 5 11000705
+1 0 0 0 0 0 8 5 11000805
+1 0 0 0 0 0 9 5 11000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/vx.zl b/CarpetAttic/Cart3dTest/test/quadrant/vx.zl
new file mode 100644
index 000000000..51e26621d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/vx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 11000100
+0 0 0 0 0 0 1 1 11000101
+0 0 0 0 0 0 1 2 11000102
+0 0 0 0 0 0 1 3 11000103
+0 0 0 0 0 0 1 4 11000104
+0 0 0 0 0 0 1 5 11000105
+0 0 0 0 0 0 1 6 11000106
+0 0 0 0 0 0 1 7 11000107
+0 0 0 0 0 0 1 8 11000108
+0 0 0 0 0 0 1 9 11000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 11000100
+1 0 0 0 0 0 1 1 11000101
+1 0 0 0 0 0 1 2 11000102
+1 0 0 0 0 0 1 3 11000103
+1 0 0 0 0 0 1 4 11000104
+1 0 0 0 0 0 1 5 11000105
+1 0 0 0 0 0 1 6 11000106
+1 0 0 0 0 0 1 7 11000107
+1 0 0 0 0 0 1 8 11000108
+1 0 0 0 0 0 1 9 11000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/vy.xl b/CarpetAttic/Cart3dTest/test/quadrant/vy.xl
new file mode 100644
index 000000000..abba49be6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/vy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 12000105
+0 0 0 0 0 1 1 5 12010105
+0 0 0 0 0 2 1 5 12020105
+0 0 0 0 0 3 1 5 12030105
+0 0 0 0 0 4 1 5 12040105
+0 0 0 0 0 5 1 5 12050105
+0 0 0 0 0 6 1 5 12060105
+0 0 0 0 0 7 1 5 12070105
+0 0 0 0 0 8 1 5 12080105
+0 0 0 0 0 9 1 5 12090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 12000105
+1 0 0 0 0 1 1 5 12010105
+1 0 0 0 0 2 1 5 12020105
+1 0 0 0 0 3 1 5 12030105
+1 0 0 0 0 4 1 5 12040105
+1 0 0 0 0 5 1 5 12050105
+1 0 0 0 0 6 1 5 12060105
+1 0 0 0 0 7 1 5 12070105
+1 0 0 0 0 8 1 5 12080105
+1 0 0 0 0 9 1 5 12090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/vy.yl b/CarpetAttic/Cart3dTest/test/quadrant/vy.yl
new file mode 100644
index 000000000..76d6ddeb2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/vy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 12000005
+0 0 0 0 0 0 1 5 12000105
+0 0 0 0 0 0 2 5 12000205
+0 0 0 0 0 0 3 5 12000305
+0 0 0 0 0 0 4 5 12000405
+0 0 0 0 0 0 5 5 12000505
+0 0 0 0 0 0 6 5 12000605
+0 0 0 0 0 0 7 5 12000705
+0 0 0 0 0 0 8 5 12000805
+0 0 0 0 0 0 9 5 12000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 -12000105
+1 0 0 0 0 0 1 5 12000105
+1 0 0 0 0 0 2 5 12000205
+1 0 0 0 0 0 3 5 12000305
+1 0 0 0 0 0 4 5 12000405
+1 0 0 0 0 0 5 5 12000505
+1 0 0 0 0 0 6 5 12000605
+1 0 0 0 0 0 7 5 12000705
+1 0 0 0 0 0 8 5 12000805
+1 0 0 0 0 0 9 5 12000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/vy.zl b/CarpetAttic/Cart3dTest/test/quadrant/vy.zl
new file mode 100644
index 000000000..1c5c80a95
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/vy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 12000100
+0 0 0 0 0 0 1 1 12000101
+0 0 0 0 0 0 1 2 12000102
+0 0 0 0 0 0 1 3 12000103
+0 0 0 0 0 0 1 4 12000104
+0 0 0 0 0 0 1 5 12000105
+0 0 0 0 0 0 1 6 12000106
+0 0 0 0 0 0 1 7 12000107
+0 0 0 0 0 0 1 8 12000108
+0 0 0 0 0 0 1 9 12000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 12000100
+1 0 0 0 0 0 1 1 12000101
+1 0 0 0 0 0 1 2 12000102
+1 0 0 0 0 0 1 3 12000103
+1 0 0 0 0 0 1 4 12000104
+1 0 0 0 0 0 1 5 12000105
+1 0 0 0 0 0 1 6 12000106
+1 0 0 0 0 0 1 7 12000107
+1 0 0 0 0 0 1 8 12000108
+1 0 0 0 0 0 1 9 12000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/vz.xl b/CarpetAttic/Cart3dTest/test/quadrant/vz.xl
new file mode 100644
index 000000000..a01f81b61
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/vz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 13000105
+0 0 0 0 0 1 1 5 13010105
+0 0 0 0 0 2 1 5 13020105
+0 0 0 0 0 3 1 5 13030105
+0 0 0 0 0 4 1 5 13040105
+0 0 0 0 0 5 1 5 13050105
+0 0 0 0 0 6 1 5 13060105
+0 0 0 0 0 7 1 5 13070105
+0 0 0 0 0 8 1 5 13080105
+0 0 0 0 0 9 1 5 13090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 13000105
+1 0 0 0 0 1 1 5 13010105
+1 0 0 0 0 2 1 5 13020105
+1 0 0 0 0 3 1 5 13030105
+1 0 0 0 0 4 1 5 13040105
+1 0 0 0 0 5 1 5 13050105
+1 0 0 0 0 6 1 5 13060105
+1 0 0 0 0 7 1 5 13070105
+1 0 0 0 0 8 1 5 13080105
+1 0 0 0 0 9 1 5 13090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/vz.yl b/CarpetAttic/Cart3dTest/test/quadrant/vz.yl
new file mode 100644
index 000000000..a53c4050b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/vz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 13000005
+0 0 0 0 0 0 1 5 13000105
+0 0 0 0 0 0 2 5 13000205
+0 0 0 0 0 0 3 5 13000305
+0 0 0 0 0 0 4 5 13000405
+0 0 0 0 0 0 5 5 13000505
+0 0 0 0 0 0 6 5 13000605
+0 0 0 0 0 0 7 5 13000705
+0 0 0 0 0 0 8 5 13000805
+0 0 0 0 0 0 9 5 13000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 13000105
+1 0 0 0 0 0 1 5 13000105
+1 0 0 0 0 0 2 5 13000205
+1 0 0 0 0 0 3 5 13000305
+1 0 0 0 0 0 4 5 13000405
+1 0 0 0 0 0 5 5 13000505
+1 0 0 0 0 0 6 5 13000605
+1 0 0 0 0 0 7 5 13000705
+1 0 0 0 0 0 8 5 13000805
+1 0 0 0 0 0 9 5 13000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/quadrant/vz.zl b/CarpetAttic/Cart3dTest/test/quadrant/vz.zl
new file mode 100644
index 000000000..54c6bf1c5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/quadrant/vz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 0 13000100
+0 0 0 0 0 0 1 1 13000101
+0 0 0 0 0 0 1 2 13000102
+0 0 0 0 0 0 1 3 13000103
+0 0 0 0 0 0 1 4 13000104
+0 0 0 0 0 0 1 5 13000105
+0 0 0 0 0 0 1 6 13000106
+0 0 0 0 0 0 1 7 13000107
+0 0 0 0 0 0 1 8 13000108
+0 0 0 0 0 0 1 9 13000109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 0 13000100
+1 0 0 0 0 0 1 1 13000101
+1 0 0 0 0 0 1 2 13000102
+1 0 0 0 0 0 1 3 13000103
+1 0 0 0 0 0 1 4 13000104
+1 0 0 0 0 0 1 5 13000105
+1 0 0 0 0 0 1 6 13000106
+1 0 0 0 0 0 1 7 13000107
+1 0 0 0 0 0 1 8 13000108
+1 0 0 0 0 0 1 9 13000109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x.log b/CarpetAttic/Cart3dTest/test/symmetric-x.log
new file mode 100644
index 000000000..8b02f3bdb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x.log
@@ -0,0 +1,81 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x.par b/CarpetAttic/Cart3dTest/test/symmetric-x.par
new file mode 100644
index 000000000..558c5eb7b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x.par
@@ -0,0 +1,17 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/symmetric-x.par,v 1.4 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 1
+
+grid::type = "byspacing"
+grid::mode_x = "symmetric"
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "symmetric-x"
+IOASCII::out1D_vars = "grid::coordinates Cart3dTest::quantities"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/ax.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/ax.xl
new file mode 100644
index 000000000..a6dd976ff
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/ax.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax x (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 31000505
+0 0 0 0 0 1 5 5 31010505
+0 0 0 0 0 2 5 5 31020505
+0 0 0 0 0 3 5 5 31030505
+0 0 0 0 0 4 5 5 31040505
+0 0 0 0 0 5 5 5 31050505
+0 0 0 0 0 6 5 5 31060505
+0 0 0 0 0 7 5 5 31070505
+0 0 0 0 0 8 5 5 31080505
+0 0 0 0 0 9 5 5 31090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 31000505
+1 0 0 0 0 1 5 5 31010505
+1 0 0 0 0 2 5 5 31020505
+1 0 0 0 0 3 5 5 31030505
+1 0 0 0 0 4 5 5 31040505
+1 0 0 0 0 5 5 5 31050505
+1 0 0 0 0 6 5 5 31060505
+1 0 0 0 0 7 5 5 31070505
+1 0 0 0 0 8 5 5 31080505
+1 0 0 0 0 9 5 5 31090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/ax.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/ax.yl
new file mode 100644
index 000000000..8e3da883a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/ax.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax y (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 31000005
+0 0 0 0 0 0 1 5 31000105
+0 0 0 0 0 0 2 5 31000205
+0 0 0 0 0 0 3 5 31000305
+0 0 0 0 0 0 4 5 31000405
+0 0 0 0 0 0 5 5 31000505
+0 0 0 0 0 0 6 5 31000605
+0 0 0 0 0 0 7 5 31000705
+0 0 0 0 0 0 8 5 31000805
+0 0 0 0 0 0 9 5 31000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 31000005
+1 0 0 0 0 0 1 5 31000105
+1 0 0 0 0 0 2 5 31000205
+1 0 0 0 0 0 3 5 31000305
+1 0 0 0 0 0 4 5 31000405
+1 0 0 0 0 0 5 5 31000505
+1 0 0 0 0 0 6 5 31000605
+1 0 0 0 0 0 7 5 31000705
+1 0 0 0 0 0 8 5 31000805
+1 0 0 0 0 0 9 5 31000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/ax.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/ax.zl
new file mode 100644
index 000000000..d2a0ee254
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/ax.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax z (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 31000500
+0 0 0 0 0 0 5 1 31000501
+0 0 0 0 0 0 5 2 31000502
+0 0 0 0 0 0 5 3 31000503
+0 0 0 0 0 0 5 4 31000504
+0 0 0 0 0 0 5 5 31000505
+0 0 0 0 0 0 5 6 31000506
+0 0 0 0 0 0 5 7 31000507
+0 0 0 0 0 0 5 8 31000508
+0 0 0 0 0 0 5 9 31000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 31000500
+1 0 0 0 0 0 5 1 31000501
+1 0 0 0 0 0 5 2 31000502
+1 0 0 0 0 0 5 3 31000503
+1 0 0 0 0 0 5 4 31000504
+1 0 0 0 0 0 5 5 31000505
+1 0 0 0 0 0 5 6 31000506
+1 0 0 0 0 0 5 7 31000507
+1 0 0 0 0 0 5 8 31000508
+1 0 0 0 0 0 5 9 31000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/ay.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/ay.xl
new file mode 100644
index 000000000..d98eb4ea0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/ay.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay x (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 32000505
+0 0 0 0 0 1 5 5 32010505
+0 0 0 0 0 2 5 5 32020505
+0 0 0 0 0 3 5 5 32030505
+0 0 0 0 0 4 5 5 32040505
+0 0 0 0 0 5 5 5 32050505
+0 0 0 0 0 6 5 5 32060505
+0 0 0 0 0 7 5 5 32070505
+0 0 0 0 0 8 5 5 32080505
+0 0 0 0 0 9 5 5 32090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 32000505
+1 0 0 0 0 1 5 5 32010505
+1 0 0 0 0 2 5 5 32020505
+1 0 0 0 0 3 5 5 32030505
+1 0 0 0 0 4 5 5 32040505
+1 0 0 0 0 5 5 5 32050505
+1 0 0 0 0 6 5 5 32060505
+1 0 0 0 0 7 5 5 32070505
+1 0 0 0 0 8 5 5 32080505
+1 0 0 0 0 9 5 5 32090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/ay.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/ay.yl
new file mode 100644
index 000000000..f02eed7ea
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/ay.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay y (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 32000005
+0 0 0 0 0 0 1 5 32000105
+0 0 0 0 0 0 2 5 32000205
+0 0 0 0 0 0 3 5 32000305
+0 0 0 0 0 0 4 5 32000405
+0 0 0 0 0 0 5 5 32000505
+0 0 0 0 0 0 6 5 32000605
+0 0 0 0 0 0 7 5 32000705
+0 0 0 0 0 0 8 5 32000805
+0 0 0 0 0 0 9 5 32000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 32000005
+1 0 0 0 0 0 1 5 32000105
+1 0 0 0 0 0 2 5 32000205
+1 0 0 0 0 0 3 5 32000305
+1 0 0 0 0 0 4 5 32000405
+1 0 0 0 0 0 5 5 32000505
+1 0 0 0 0 0 6 5 32000605
+1 0 0 0 0 0 7 5 32000705
+1 0 0 0 0 0 8 5 32000805
+1 0 0 0 0 0 9 5 32000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/ay.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/ay.zl
new file mode 100644
index 000000000..862e9c262
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/ay.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay z (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 32000500
+0 0 0 0 0 0 5 1 32000501
+0 0 0 0 0 0 5 2 32000502
+0 0 0 0 0 0 5 3 32000503
+0 0 0 0 0 0 5 4 32000504
+0 0 0 0 0 0 5 5 32000505
+0 0 0 0 0 0 5 6 32000506
+0 0 0 0 0 0 5 7 32000507
+0 0 0 0 0 0 5 8 32000508
+0 0 0 0 0 0 5 9 32000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 32000500
+1 0 0 0 0 0 5 1 32000501
+1 0 0 0 0 0 5 2 32000502
+1 0 0 0 0 0 5 3 32000503
+1 0 0 0 0 0 5 4 32000504
+1 0 0 0 0 0 5 5 32000505
+1 0 0 0 0 0 5 6 32000506
+1 0 0 0 0 0 5 7 32000507
+1 0 0 0 0 0 5 8 32000508
+1 0 0 0 0 0 5 9 32000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/az.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/az.xl
new file mode 100644
index 000000000..9c2733464
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/az.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::az x (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 33000505
+0 0 0 0 0 1 5 5 33010505
+0 0 0 0 0 2 5 5 33020505
+0 0 0 0 0 3 5 5 33030505
+0 0 0 0 0 4 5 5 33040505
+0 0 0 0 0 5 5 5 33050505
+0 0 0 0 0 6 5 5 33060505
+0 0 0 0 0 7 5 5 33070505
+0 0 0 0 0 8 5 5 33080505
+0 0 0 0 0 9 5 5 33090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 33000505
+1 0 0 0 0 1 5 5 33010505
+1 0 0 0 0 2 5 5 33020505
+1 0 0 0 0 3 5 5 33030505
+1 0 0 0 0 4 5 5 33040505
+1 0 0 0 0 5 5 5 33050505
+1 0 0 0 0 6 5 5 33060505
+1 0 0 0 0 7 5 5 33070505
+1 0 0 0 0 8 5 5 33080505
+1 0 0 0 0 9 5 5 33090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/az.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/az.yl
new file mode 100644
index 000000000..3e2a89501
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/az.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::az y (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 33000005
+0 0 0 0 0 0 1 5 33000105
+0 0 0 0 0 0 2 5 33000205
+0 0 0 0 0 0 3 5 33000305
+0 0 0 0 0 0 4 5 33000405
+0 0 0 0 0 0 5 5 33000505
+0 0 0 0 0 0 6 5 33000605
+0 0 0 0 0 0 7 5 33000705
+0 0 0 0 0 0 8 5 33000805
+0 0 0 0 0 0 9 5 33000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 33000005
+1 0 0 0 0 0 1 5 33000105
+1 0 0 0 0 0 2 5 33000205
+1 0 0 0 0 0 3 5 33000305
+1 0 0 0 0 0 4 5 33000405
+1 0 0 0 0 0 5 5 33000505
+1 0 0 0 0 0 6 5 33000605
+1 0 0 0 0 0 7 5 33000705
+1 0 0 0 0 0 8 5 33000805
+1 0 0 0 0 0 9 5 33000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/az.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/az.zl
new file mode 100644
index 000000000..43e1372ef
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/az.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::az z (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 33000500
+0 0 0 0 0 0 5 1 33000501
+0 0 0 0 0 0 5 2 33000502
+0 0 0 0 0 0 5 3 33000503
+0 0 0 0 0 0 5 4 33000504
+0 0 0 0 0 0 5 5 33000505
+0 0 0 0 0 0 5 6 33000506
+0 0 0 0 0 0 5 7 33000507
+0 0 0 0 0 0 5 8 33000508
+0 0 0 0 0 0 5 9 33000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 33000500
+1 0 0 0 0 0 5 1 33000501
+1 0 0 0 0 0 5 2 33000502
+1 0 0 0 0 0 5 3 33000503
+1 0 0 0 0 0 5 4 33000504
+1 0 0 0 0 0 5 5 33000505
+1 0 0 0 0 0 5 6 33000506
+1 0 0 0 0 0 5 7 33000507
+1 0 0 0 0 0 5 8 33000508
+1 0 0 0 0 0 5 9 33000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_x.xl
new file mode 100644
index 000000000..74ad429b4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_x.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 1 5 5 0.45
+0 0 0 0 0 2 5 5 0.75
+0 0 0 0 0 3 5 5 1.05
+0 0 0 0 0 4 5 5 1.35
+0 0 0 0 0 5 5 5 1.65
+0 0 0 0 0 6 5 5 1.95
+0 0 0 0 0 7 5 5 2.25
+0 0 0 0 0 8 5 5 2.55
+0 0 0 0 0 9 5 5 2.85
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 1 5 5 0.45
+1 0 0 0 0 2 5 5 0.75
+1 0 0 0 0 3 5 5 1.05
+1 0 0 0 0 4 5 5 1.35
+1 0 0 0 0 5 5 5 1.65
+1 0 0 0 0 6 5 5 1.95
+1 0 0 0 0 7 5 5 2.25
+1 0 0 0 0 8 5 5 2.55
+1 0 0 0 0 9 5 5 2.85
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_x.yl
new file mode 100644
index 000000000..7a88526ed
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_x.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 0.15
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 0 2 5 0.15
+0 0 0 0 0 0 3 5 0.15
+0 0 0 0 0 0 4 5 0.15
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 0 6 5 0.15
+0 0 0 0 0 0 7 5 0.15
+0 0 0 0 0 0 8 5 0.15
+0 0 0 0 0 0 9 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 0.15
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 0 2 5 0.15
+1 0 0 0 0 0 3 5 0.15
+1 0 0 0 0 0 4 5 0.15
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 0 6 5 0.15
+1 0 0 0 0 0 7 5 0.15
+1 0 0 0 0 0 8 5 0.15
+1 0 0 0 0 0 9 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_x.zl
new file mode 100644
index 000000000..bff3dd14d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_x.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 0.15
+0 0 0 0 0 0 5 1 0.15
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 0 5 3 0.15
+0 0 0 0 0 0 5 4 0.15
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 0 5 6 0.15
+0 0 0 0 0 0 5 7 0.15
+0 0 0 0 0 0 5 8 0.15
+0 0 0 0 0 0 5 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 0.15
+1 0 0 0 0 0 5 1 0.15
+1 0 0 0 0 0 5 2 0.15
+1 0 0 0 0 0 5 3 0.15
+1 0 0 0 0 0 5 4 0.15
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 0 5 6 0.15
+1 0 0 0 0 0 5 7 0.15
+1 0 0 0 0 0 5 8 0.15
+1 0 0 0 0 0 5 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_y.xl
new file mode 100644
index 000000000..8ee8190c4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_y.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 1 5 5 0.15
+0 0 0 0 0 2 5 5 0.15
+0 0 0 0 0 3 5 5 0.15
+0 0 0 0 0 4 5 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.15
+0 0 0 0 0 7 5 5 0.15
+0 0 0 0 0 8 5 5 0.15
+0 0 0 0 0 9 5 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 1 5 5 0.15
+1 0 0 0 0 2 5 5 0.15
+1 0 0 0 0 3 5 5 0.15
+1 0 0 0 0 4 5 5 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 6 5 5 0.15
+1 0 0 0 0 7 5 5 0.15
+1 0 0 0 0 8 5 5 0.15
+1 0 0 0 0 9 5 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_y.yl
new file mode 100644
index 000000000..7b6351b94
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_y.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 -1.35
+0 0 0 0 0 0 1 5 -1.05
+0 0 0 0 0 0 2 5 -0.75
+0 0 0 0 0 0 3 5 -0.45
+0 0 0 0 0 0 4 5 -0.15
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 0 6 5 0.45
+0 0 0 0 0 0 7 5 0.75
+0 0 0 0 0 0 8 5 1.05
+0 0 0 0 0 0 9 5 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 -1.35
+1 0 0 0 0 0 1 5 -1.05
+1 0 0 0 0 0 2 5 -0.75
+1 0 0 0 0 0 3 5 -0.45
+1 0 0 0 0 0 4 5 -0.15
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 0 6 5 0.45
+1 0 0 0 0 0 7 5 0.75
+1 0 0 0 0 0 8 5 1.05
+1 0 0 0 0 0 9 5 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_y.zl
new file mode 100644
index 000000000..b06b80d04
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_y.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 0.15
+0 0 0 0 0 0 5 1 0.15
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 0 5 3 0.15
+0 0 0 0 0 0 5 4 0.15
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 0 5 6 0.15
+0 0 0 0 0 0 5 7 0.15
+0 0 0 0 0 0 5 8 0.15
+0 0 0 0 0 0 5 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 0.15
+1 0 0 0 0 0 5 1 0.15
+1 0 0 0 0 0 5 2 0.15
+1 0 0 0 0 0 5 3 0.15
+1 0 0 0 0 0 5 4 0.15
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 0 5 6 0.15
+1 0 0 0 0 0 5 7 0.15
+1 0 0 0 0 0 5 8 0.15
+1 0 0 0 0 0 5 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_z.xl
new file mode 100644
index 000000000..400b19f39
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_z.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 1 5 5 0.15
+0 0 0 0 0 2 5 5 0.15
+0 0 0 0 0 3 5 5 0.15
+0 0 0 0 0 4 5 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 6 5 5 0.15
+0 0 0 0 0 7 5 5 0.15
+0 0 0 0 0 8 5 5 0.15
+0 0 0 0 0 9 5 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 1 5 5 0.15
+1 0 0 0 0 2 5 5 0.15
+1 0 0 0 0 3 5 5 0.15
+1 0 0 0 0 4 5 5 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 6 5 5 0.15
+1 0 0 0 0 7 5 5 0.15
+1 0 0 0 0 8 5 5 0.15
+1 0 0 0 0 9 5 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_z.yl
new file mode 100644
index 000000000..48fe0f0c9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_z.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 0.15
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 0 2 5 0.15
+0 0 0 0 0 0 3 5 0.15
+0 0 0 0 0 0 4 5 0.15
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 0 6 5 0.15
+0 0 0 0 0 0 7 5 0.15
+0 0 0 0 0 0 8 5 0.15
+0 0 0 0 0 0 9 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 0.15
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 0 2 5 0.15
+1 0 0 0 0 0 3 5 0.15
+1 0 0 0 0 0 4 5 0.15
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 0 6 5 0.15
+1 0 0 0 0 0 7 5 0.15
+1 0 0 0 0 0 8 5 0.15
+1 0 0 0 0 0 9 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_z.zl
new file mode 100644
index 000000000..34bc6b859
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/cart3d_z.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 -1.35
+0 0 0 0 0 0 5 1 -1.05
+0 0 0 0 0 0 5 2 -0.75
+0 0 0 0 0 0 5 3 -0.45
+0 0 0 0 0 0 5 4 -0.15
+0 0 0 0 0 0 5 5 0.15
+0 0 0 0 0 0 5 6 0.45
+0 0 0 0 0 0 5 7 0.75
+0 0 0 0 0 0 5 8 1.05
+0 0 0 0 0 0 5 9 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 -1.35
+1 0 0 0 0 0 5 1 -1.05
+1 0 0 0 0 0 5 2 -0.75
+1 0 0 0 0 0 5 3 -0.45
+1 0 0 0 0 0 5 4 -0.15
+1 0 0 0 0 0 5 5 0.15
+1 0 0 0 0 0 5 6 0.45
+1 0 0 0 0 0 5 7 0.75
+1 0 0 0 0 0 5 8 1.05
+1 0 0 0 0 0 5 9 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fxx.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/fxx.xl
new file mode 100644
index 000000000..f4e4dc8fd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fxx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx x (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 41000505
+0 0 0 0 0 1 5 5 41010505
+0 0 0 0 0 2 5 5 41020505
+0 0 0 0 0 3 5 5 41030505
+0 0 0 0 0 4 5 5 41040505
+0 0 0 0 0 5 5 5 41050505
+0 0 0 0 0 6 5 5 41060505
+0 0 0 0 0 7 5 5 41070505
+0 0 0 0 0 8 5 5 41080505
+0 0 0 0 0 9 5 5 41090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 41000505
+1 0 0 0 0 1 5 5 41010505
+1 0 0 0 0 2 5 5 41020505
+1 0 0 0 0 3 5 5 41030505
+1 0 0 0 0 4 5 5 41040505
+1 0 0 0 0 5 5 5 41050505
+1 0 0 0 0 6 5 5 41060505
+1 0 0 0 0 7 5 5 41070505
+1 0 0 0 0 8 5 5 41080505
+1 0 0 0 0 9 5 5 41090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fxx.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/fxx.yl
new file mode 100644
index 000000000..1ed637ee7
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fxx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx y (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 41000005
+0 0 0 0 0 0 1 5 41000105
+0 0 0 0 0 0 2 5 41000205
+0 0 0 0 0 0 3 5 41000305
+0 0 0 0 0 0 4 5 41000405
+0 0 0 0 0 0 5 5 41000505
+0 0 0 0 0 0 6 5 41000605
+0 0 0 0 0 0 7 5 41000705
+0 0 0 0 0 0 8 5 41000805
+0 0 0 0 0 0 9 5 41000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 41000005
+1 0 0 0 0 0 1 5 41000105
+1 0 0 0 0 0 2 5 41000205
+1 0 0 0 0 0 3 5 41000305
+1 0 0 0 0 0 4 5 41000405
+1 0 0 0 0 0 5 5 41000505
+1 0 0 0 0 0 6 5 41000605
+1 0 0 0 0 0 7 5 41000705
+1 0 0 0 0 0 8 5 41000805
+1 0 0 0 0 0 9 5 41000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fxx.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/fxx.zl
new file mode 100644
index 000000000..938b8f946
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fxx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx z (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 41000500
+0 0 0 0 0 0 5 1 41000501
+0 0 0 0 0 0 5 2 41000502
+0 0 0 0 0 0 5 3 41000503
+0 0 0 0 0 0 5 4 41000504
+0 0 0 0 0 0 5 5 41000505
+0 0 0 0 0 0 5 6 41000506
+0 0 0 0 0 0 5 7 41000507
+0 0 0 0 0 0 5 8 41000508
+0 0 0 0 0 0 5 9 41000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 41000500
+1 0 0 0 0 0 5 1 41000501
+1 0 0 0 0 0 5 2 41000502
+1 0 0 0 0 0 5 3 41000503
+1 0 0 0 0 0 5 4 41000504
+1 0 0 0 0 0 5 5 41000505
+1 0 0 0 0 0 5 6 41000506
+1 0 0 0 0 0 5 7 41000507
+1 0 0 0 0 0 5 8 41000508
+1 0 0 0 0 0 5 9 41000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fxy.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/fxy.xl
new file mode 100644
index 000000000..bec381f14
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fxy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy x (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 42000505
+0 0 0 0 0 1 5 5 42010505
+0 0 0 0 0 2 5 5 42020505
+0 0 0 0 0 3 5 5 42030505
+0 0 0 0 0 4 5 5 42040505
+0 0 0 0 0 5 5 5 42050505
+0 0 0 0 0 6 5 5 42060505
+0 0 0 0 0 7 5 5 42070505
+0 0 0 0 0 8 5 5 42080505
+0 0 0 0 0 9 5 5 42090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 42000505
+1 0 0 0 0 1 5 5 42010505
+1 0 0 0 0 2 5 5 42020505
+1 0 0 0 0 3 5 5 42030505
+1 0 0 0 0 4 5 5 42040505
+1 0 0 0 0 5 5 5 42050505
+1 0 0 0 0 6 5 5 42060505
+1 0 0 0 0 7 5 5 42070505
+1 0 0 0 0 8 5 5 42080505
+1 0 0 0 0 9 5 5 42090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fxy.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/fxy.yl
new file mode 100644
index 000000000..859924893
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fxy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy y (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 42000005
+0 0 0 0 0 0 1 5 42000105
+0 0 0 0 0 0 2 5 42000205
+0 0 0 0 0 0 3 5 42000305
+0 0 0 0 0 0 4 5 42000405
+0 0 0 0 0 0 5 5 42000505
+0 0 0 0 0 0 6 5 42000605
+0 0 0 0 0 0 7 5 42000705
+0 0 0 0 0 0 8 5 42000805
+0 0 0 0 0 0 9 5 42000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 42000005
+1 0 0 0 0 0 1 5 42000105
+1 0 0 0 0 0 2 5 42000205
+1 0 0 0 0 0 3 5 42000305
+1 0 0 0 0 0 4 5 42000405
+1 0 0 0 0 0 5 5 42000505
+1 0 0 0 0 0 6 5 42000605
+1 0 0 0 0 0 7 5 42000705
+1 0 0 0 0 0 8 5 42000805
+1 0 0 0 0 0 9 5 42000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fxy.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/fxy.zl
new file mode 100644
index 000000000..158e0432e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fxy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy z (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 42000500
+0 0 0 0 0 0 5 1 42000501
+0 0 0 0 0 0 5 2 42000502
+0 0 0 0 0 0 5 3 42000503
+0 0 0 0 0 0 5 4 42000504
+0 0 0 0 0 0 5 5 42000505
+0 0 0 0 0 0 5 6 42000506
+0 0 0 0 0 0 5 7 42000507
+0 0 0 0 0 0 5 8 42000508
+0 0 0 0 0 0 5 9 42000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 42000500
+1 0 0 0 0 0 5 1 42000501
+1 0 0 0 0 0 5 2 42000502
+1 0 0 0 0 0 5 3 42000503
+1 0 0 0 0 0 5 4 42000504
+1 0 0 0 0 0 5 5 42000505
+1 0 0 0 0 0 5 6 42000506
+1 0 0 0 0 0 5 7 42000507
+1 0 0 0 0 0 5 8 42000508
+1 0 0 0 0 0 5 9 42000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fxz.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/fxz.xl
new file mode 100644
index 000000000..1a33e9082
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fxz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz x (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 43000505
+0 0 0 0 0 1 5 5 43010505
+0 0 0 0 0 2 5 5 43020505
+0 0 0 0 0 3 5 5 43030505
+0 0 0 0 0 4 5 5 43040505
+0 0 0 0 0 5 5 5 43050505
+0 0 0 0 0 6 5 5 43060505
+0 0 0 0 0 7 5 5 43070505
+0 0 0 0 0 8 5 5 43080505
+0 0 0 0 0 9 5 5 43090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 43000505
+1 0 0 0 0 1 5 5 43010505
+1 0 0 0 0 2 5 5 43020505
+1 0 0 0 0 3 5 5 43030505
+1 0 0 0 0 4 5 5 43040505
+1 0 0 0 0 5 5 5 43050505
+1 0 0 0 0 6 5 5 43060505
+1 0 0 0 0 7 5 5 43070505
+1 0 0 0 0 8 5 5 43080505
+1 0 0 0 0 9 5 5 43090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fxz.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/fxz.yl
new file mode 100644
index 000000000..a9a5e103c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fxz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz y (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 43000005
+0 0 0 0 0 0 1 5 43000105
+0 0 0 0 0 0 2 5 43000205
+0 0 0 0 0 0 3 5 43000305
+0 0 0 0 0 0 4 5 43000405
+0 0 0 0 0 0 5 5 43000505
+0 0 0 0 0 0 6 5 43000605
+0 0 0 0 0 0 7 5 43000705
+0 0 0 0 0 0 8 5 43000805
+0 0 0 0 0 0 9 5 43000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 43000005
+1 0 0 0 0 0 1 5 43000105
+1 0 0 0 0 0 2 5 43000205
+1 0 0 0 0 0 3 5 43000305
+1 0 0 0 0 0 4 5 43000405
+1 0 0 0 0 0 5 5 43000505
+1 0 0 0 0 0 6 5 43000605
+1 0 0 0 0 0 7 5 43000705
+1 0 0 0 0 0 8 5 43000805
+1 0 0 0 0 0 9 5 43000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fxz.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/fxz.zl
new file mode 100644
index 000000000..b5a6e8492
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fxz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz z (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 43000500
+0 0 0 0 0 0 5 1 43000501
+0 0 0 0 0 0 5 2 43000502
+0 0 0 0 0 0 5 3 43000503
+0 0 0 0 0 0 5 4 43000504
+0 0 0 0 0 0 5 5 43000505
+0 0 0 0 0 0 5 6 43000506
+0 0 0 0 0 0 5 7 43000507
+0 0 0 0 0 0 5 8 43000508
+0 0 0 0 0 0 5 9 43000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 43000500
+1 0 0 0 0 0 5 1 43000501
+1 0 0 0 0 0 5 2 43000502
+1 0 0 0 0 0 5 3 43000503
+1 0 0 0 0 0 5 4 43000504
+1 0 0 0 0 0 5 5 43000505
+1 0 0 0 0 0 5 6 43000506
+1 0 0 0 0 0 5 7 43000507
+1 0 0 0 0 0 5 8 43000508
+1 0 0 0 0 0 5 9 43000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fyx.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/fyx.xl
new file mode 100644
index 000000000..cae9cbe2d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fyx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx x (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 44000505
+0 0 0 0 0 1 5 5 44010505
+0 0 0 0 0 2 5 5 44020505
+0 0 0 0 0 3 5 5 44030505
+0 0 0 0 0 4 5 5 44040505
+0 0 0 0 0 5 5 5 44050505
+0 0 0 0 0 6 5 5 44060505
+0 0 0 0 0 7 5 5 44070505
+0 0 0 0 0 8 5 5 44080505
+0 0 0 0 0 9 5 5 44090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 44000505
+1 0 0 0 0 1 5 5 44010505
+1 0 0 0 0 2 5 5 44020505
+1 0 0 0 0 3 5 5 44030505
+1 0 0 0 0 4 5 5 44040505
+1 0 0 0 0 5 5 5 44050505
+1 0 0 0 0 6 5 5 44060505
+1 0 0 0 0 7 5 5 44070505
+1 0 0 0 0 8 5 5 44080505
+1 0 0 0 0 9 5 5 44090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fyx.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/fyx.yl
new file mode 100644
index 000000000..2358a2831
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fyx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx y (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 44000005
+0 0 0 0 0 0 1 5 44000105
+0 0 0 0 0 0 2 5 44000205
+0 0 0 0 0 0 3 5 44000305
+0 0 0 0 0 0 4 5 44000405
+0 0 0 0 0 0 5 5 44000505
+0 0 0 0 0 0 6 5 44000605
+0 0 0 0 0 0 7 5 44000705
+0 0 0 0 0 0 8 5 44000805
+0 0 0 0 0 0 9 5 44000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 44000005
+1 0 0 0 0 0 1 5 44000105
+1 0 0 0 0 0 2 5 44000205
+1 0 0 0 0 0 3 5 44000305
+1 0 0 0 0 0 4 5 44000405
+1 0 0 0 0 0 5 5 44000505
+1 0 0 0 0 0 6 5 44000605
+1 0 0 0 0 0 7 5 44000705
+1 0 0 0 0 0 8 5 44000805
+1 0 0 0 0 0 9 5 44000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fyx.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/fyx.zl
new file mode 100644
index 000000000..08c95634d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fyx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx z (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 44000500
+0 0 0 0 0 0 5 1 44000501
+0 0 0 0 0 0 5 2 44000502
+0 0 0 0 0 0 5 3 44000503
+0 0 0 0 0 0 5 4 44000504
+0 0 0 0 0 0 5 5 44000505
+0 0 0 0 0 0 5 6 44000506
+0 0 0 0 0 0 5 7 44000507
+0 0 0 0 0 0 5 8 44000508
+0 0 0 0 0 0 5 9 44000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 44000500
+1 0 0 0 0 0 5 1 44000501
+1 0 0 0 0 0 5 2 44000502
+1 0 0 0 0 0 5 3 44000503
+1 0 0 0 0 0 5 4 44000504
+1 0 0 0 0 0 5 5 44000505
+1 0 0 0 0 0 5 6 44000506
+1 0 0 0 0 0 5 7 44000507
+1 0 0 0 0 0 5 8 44000508
+1 0 0 0 0 0 5 9 44000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fyy.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/fyy.xl
new file mode 100644
index 000000000..5008c5b15
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy x (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 45000505
+0 0 0 0 0 1 5 5 45010505
+0 0 0 0 0 2 5 5 45020505
+0 0 0 0 0 3 5 5 45030505
+0 0 0 0 0 4 5 5 45040505
+0 0 0 0 0 5 5 5 45050505
+0 0 0 0 0 6 5 5 45060505
+0 0 0 0 0 7 5 5 45070505
+0 0 0 0 0 8 5 5 45080505
+0 0 0 0 0 9 5 5 45090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 45000505
+1 0 0 0 0 1 5 5 45010505
+1 0 0 0 0 2 5 5 45020505
+1 0 0 0 0 3 5 5 45030505
+1 0 0 0 0 4 5 5 45040505
+1 0 0 0 0 5 5 5 45050505
+1 0 0 0 0 6 5 5 45060505
+1 0 0 0 0 7 5 5 45070505
+1 0 0 0 0 8 5 5 45080505
+1 0 0 0 0 9 5 5 45090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fyy.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/fyy.yl
new file mode 100644
index 000000000..3628c1ab5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy y (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 45000005
+0 0 0 0 0 0 1 5 45000105
+0 0 0 0 0 0 2 5 45000205
+0 0 0 0 0 0 3 5 45000305
+0 0 0 0 0 0 4 5 45000405
+0 0 0 0 0 0 5 5 45000505
+0 0 0 0 0 0 6 5 45000605
+0 0 0 0 0 0 7 5 45000705
+0 0 0 0 0 0 8 5 45000805
+0 0 0 0 0 0 9 5 45000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 45000005
+1 0 0 0 0 0 1 5 45000105
+1 0 0 0 0 0 2 5 45000205
+1 0 0 0 0 0 3 5 45000305
+1 0 0 0 0 0 4 5 45000405
+1 0 0 0 0 0 5 5 45000505
+1 0 0 0 0 0 6 5 45000605
+1 0 0 0 0 0 7 5 45000705
+1 0 0 0 0 0 8 5 45000805
+1 0 0 0 0 0 9 5 45000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fyy.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/fyy.zl
new file mode 100644
index 000000000..0a88a3cfd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy z (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 45000500
+0 0 0 0 0 0 5 1 45000501
+0 0 0 0 0 0 5 2 45000502
+0 0 0 0 0 0 5 3 45000503
+0 0 0 0 0 0 5 4 45000504
+0 0 0 0 0 0 5 5 45000505
+0 0 0 0 0 0 5 6 45000506
+0 0 0 0 0 0 5 7 45000507
+0 0 0 0 0 0 5 8 45000508
+0 0 0 0 0 0 5 9 45000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 45000500
+1 0 0 0 0 0 5 1 45000501
+1 0 0 0 0 0 5 2 45000502
+1 0 0 0 0 0 5 3 45000503
+1 0 0 0 0 0 5 4 45000504
+1 0 0 0 0 0 5 5 45000505
+1 0 0 0 0 0 5 6 45000506
+1 0 0 0 0 0 5 7 45000507
+1 0 0 0 0 0 5 8 45000508
+1 0 0 0 0 0 5 9 45000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fyz.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/fyz.xl
new file mode 100644
index 000000000..d98ca2a15
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz x (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 46000505
+0 0 0 0 0 1 5 5 46010505
+0 0 0 0 0 2 5 5 46020505
+0 0 0 0 0 3 5 5 46030505
+0 0 0 0 0 4 5 5 46040505
+0 0 0 0 0 5 5 5 46050505
+0 0 0 0 0 6 5 5 46060505
+0 0 0 0 0 7 5 5 46070505
+0 0 0 0 0 8 5 5 46080505
+0 0 0 0 0 9 5 5 46090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 46000505
+1 0 0 0 0 1 5 5 46010505
+1 0 0 0 0 2 5 5 46020505
+1 0 0 0 0 3 5 5 46030505
+1 0 0 0 0 4 5 5 46040505
+1 0 0 0 0 5 5 5 46050505
+1 0 0 0 0 6 5 5 46060505
+1 0 0 0 0 7 5 5 46070505
+1 0 0 0 0 8 5 5 46080505
+1 0 0 0 0 9 5 5 46090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fyz.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/fyz.yl
new file mode 100644
index 000000000..870588e16
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz y (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 46000005
+0 0 0 0 0 0 1 5 46000105
+0 0 0 0 0 0 2 5 46000205
+0 0 0 0 0 0 3 5 46000305
+0 0 0 0 0 0 4 5 46000405
+0 0 0 0 0 0 5 5 46000505
+0 0 0 0 0 0 6 5 46000605
+0 0 0 0 0 0 7 5 46000705
+0 0 0 0 0 0 8 5 46000805
+0 0 0 0 0 0 9 5 46000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 46000005
+1 0 0 0 0 0 1 5 46000105
+1 0 0 0 0 0 2 5 46000205
+1 0 0 0 0 0 3 5 46000305
+1 0 0 0 0 0 4 5 46000405
+1 0 0 0 0 0 5 5 46000505
+1 0 0 0 0 0 6 5 46000605
+1 0 0 0 0 0 7 5 46000705
+1 0 0 0 0 0 8 5 46000805
+1 0 0 0 0 0 9 5 46000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fyz.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/fyz.zl
new file mode 100644
index 000000000..499f62fdc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz z (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 46000500
+0 0 0 0 0 0 5 1 46000501
+0 0 0 0 0 0 5 2 46000502
+0 0 0 0 0 0 5 3 46000503
+0 0 0 0 0 0 5 4 46000504
+0 0 0 0 0 0 5 5 46000505
+0 0 0 0 0 0 5 6 46000506
+0 0 0 0 0 0 5 7 46000507
+0 0 0 0 0 0 5 8 46000508
+0 0 0 0 0 0 5 9 46000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 46000500
+1 0 0 0 0 0 5 1 46000501
+1 0 0 0 0 0 5 2 46000502
+1 0 0 0 0 0 5 3 46000503
+1 0 0 0 0 0 5 4 46000504
+1 0 0 0 0 0 5 5 46000505
+1 0 0 0 0 0 5 6 46000506
+1 0 0 0 0 0 5 7 46000507
+1 0 0 0 0 0 5 8 46000508
+1 0 0 0 0 0 5 9 46000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fzx.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/fzx.xl
new file mode 100644
index 000000000..b13ff1471
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fzx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx x (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 47000505
+0 0 0 0 0 1 5 5 47010505
+0 0 0 0 0 2 5 5 47020505
+0 0 0 0 0 3 5 5 47030505
+0 0 0 0 0 4 5 5 47040505
+0 0 0 0 0 5 5 5 47050505
+0 0 0 0 0 6 5 5 47060505
+0 0 0 0 0 7 5 5 47070505
+0 0 0 0 0 8 5 5 47080505
+0 0 0 0 0 9 5 5 47090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 47000505
+1 0 0 0 0 1 5 5 47010505
+1 0 0 0 0 2 5 5 47020505
+1 0 0 0 0 3 5 5 47030505
+1 0 0 0 0 4 5 5 47040505
+1 0 0 0 0 5 5 5 47050505
+1 0 0 0 0 6 5 5 47060505
+1 0 0 0 0 7 5 5 47070505
+1 0 0 0 0 8 5 5 47080505
+1 0 0 0 0 9 5 5 47090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fzx.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/fzx.yl
new file mode 100644
index 000000000..c5706bc4b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fzx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx y (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 47000005
+0 0 0 0 0 0 1 5 47000105
+0 0 0 0 0 0 2 5 47000205
+0 0 0 0 0 0 3 5 47000305
+0 0 0 0 0 0 4 5 47000405
+0 0 0 0 0 0 5 5 47000505
+0 0 0 0 0 0 6 5 47000605
+0 0 0 0 0 0 7 5 47000705
+0 0 0 0 0 0 8 5 47000805
+0 0 0 0 0 0 9 5 47000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 47000005
+1 0 0 0 0 0 1 5 47000105
+1 0 0 0 0 0 2 5 47000205
+1 0 0 0 0 0 3 5 47000305
+1 0 0 0 0 0 4 5 47000405
+1 0 0 0 0 0 5 5 47000505
+1 0 0 0 0 0 6 5 47000605
+1 0 0 0 0 0 7 5 47000705
+1 0 0 0 0 0 8 5 47000805
+1 0 0 0 0 0 9 5 47000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fzx.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/fzx.zl
new file mode 100644
index 000000000..904705a55
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fzx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx z (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 47000500
+0 0 0 0 0 0 5 1 47000501
+0 0 0 0 0 0 5 2 47000502
+0 0 0 0 0 0 5 3 47000503
+0 0 0 0 0 0 5 4 47000504
+0 0 0 0 0 0 5 5 47000505
+0 0 0 0 0 0 5 6 47000506
+0 0 0 0 0 0 5 7 47000507
+0 0 0 0 0 0 5 8 47000508
+0 0 0 0 0 0 5 9 47000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 47000500
+1 0 0 0 0 0 5 1 47000501
+1 0 0 0 0 0 5 2 47000502
+1 0 0 0 0 0 5 3 47000503
+1 0 0 0 0 0 5 4 47000504
+1 0 0 0 0 0 5 5 47000505
+1 0 0 0 0 0 5 6 47000506
+1 0 0 0 0 0 5 7 47000507
+1 0 0 0 0 0 5 8 47000508
+1 0 0 0 0 0 5 9 47000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fzy.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/fzy.xl
new file mode 100644
index 000000000..d8b2ffa66
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fzy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy x (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 48000505
+0 0 0 0 0 1 5 5 48010505
+0 0 0 0 0 2 5 5 48020505
+0 0 0 0 0 3 5 5 48030505
+0 0 0 0 0 4 5 5 48040505
+0 0 0 0 0 5 5 5 48050505
+0 0 0 0 0 6 5 5 48060505
+0 0 0 0 0 7 5 5 48070505
+0 0 0 0 0 8 5 5 48080505
+0 0 0 0 0 9 5 5 48090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 48000505
+1 0 0 0 0 1 5 5 48010505
+1 0 0 0 0 2 5 5 48020505
+1 0 0 0 0 3 5 5 48030505
+1 0 0 0 0 4 5 5 48040505
+1 0 0 0 0 5 5 5 48050505
+1 0 0 0 0 6 5 5 48060505
+1 0 0 0 0 7 5 5 48070505
+1 0 0 0 0 8 5 5 48080505
+1 0 0 0 0 9 5 5 48090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fzy.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/fzy.yl
new file mode 100644
index 000000000..c92a9b756
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fzy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy y (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 48000005
+0 0 0 0 0 0 1 5 48000105
+0 0 0 0 0 0 2 5 48000205
+0 0 0 0 0 0 3 5 48000305
+0 0 0 0 0 0 4 5 48000405
+0 0 0 0 0 0 5 5 48000505
+0 0 0 0 0 0 6 5 48000605
+0 0 0 0 0 0 7 5 48000705
+0 0 0 0 0 0 8 5 48000805
+0 0 0 0 0 0 9 5 48000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 48000005
+1 0 0 0 0 0 1 5 48000105
+1 0 0 0 0 0 2 5 48000205
+1 0 0 0 0 0 3 5 48000305
+1 0 0 0 0 0 4 5 48000405
+1 0 0 0 0 0 5 5 48000505
+1 0 0 0 0 0 6 5 48000605
+1 0 0 0 0 0 7 5 48000705
+1 0 0 0 0 0 8 5 48000805
+1 0 0 0 0 0 9 5 48000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fzy.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/fzy.zl
new file mode 100644
index 000000000..4edbe2ecc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fzy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy z (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 48000500
+0 0 0 0 0 0 5 1 48000501
+0 0 0 0 0 0 5 2 48000502
+0 0 0 0 0 0 5 3 48000503
+0 0 0 0 0 0 5 4 48000504
+0 0 0 0 0 0 5 5 48000505
+0 0 0 0 0 0 5 6 48000506
+0 0 0 0 0 0 5 7 48000507
+0 0 0 0 0 0 5 8 48000508
+0 0 0 0 0 0 5 9 48000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 48000500
+1 0 0 0 0 0 5 1 48000501
+1 0 0 0 0 0 5 2 48000502
+1 0 0 0 0 0 5 3 48000503
+1 0 0 0 0 0 5 4 48000504
+1 0 0 0 0 0 5 5 48000505
+1 0 0 0 0 0 5 6 48000506
+1 0 0 0 0 0 5 7 48000507
+1 0 0 0 0 0 5 8 48000508
+1 0 0 0 0 0 5 9 48000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fzz.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/fzz.xl
new file mode 100644
index 000000000..9c8f5cbf0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz x (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 49000505
+0 0 0 0 0 1 5 5 49010505
+0 0 0 0 0 2 5 5 49020505
+0 0 0 0 0 3 5 5 49030505
+0 0 0 0 0 4 5 5 49040505
+0 0 0 0 0 5 5 5 49050505
+0 0 0 0 0 6 5 5 49060505
+0 0 0 0 0 7 5 5 49070505
+0 0 0 0 0 8 5 5 49080505
+0 0 0 0 0 9 5 5 49090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 49000505
+1 0 0 0 0 1 5 5 49010505
+1 0 0 0 0 2 5 5 49020505
+1 0 0 0 0 3 5 5 49030505
+1 0 0 0 0 4 5 5 49040505
+1 0 0 0 0 5 5 5 49050505
+1 0 0 0 0 6 5 5 49060505
+1 0 0 0 0 7 5 5 49070505
+1 0 0 0 0 8 5 5 49080505
+1 0 0 0 0 9 5 5 49090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fzz.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/fzz.yl
new file mode 100644
index 000000000..329dd8d2f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz y (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 49000005
+0 0 0 0 0 0 1 5 49000105
+0 0 0 0 0 0 2 5 49000205
+0 0 0 0 0 0 3 5 49000305
+0 0 0 0 0 0 4 5 49000405
+0 0 0 0 0 0 5 5 49000505
+0 0 0 0 0 0 6 5 49000605
+0 0 0 0 0 0 7 5 49000705
+0 0 0 0 0 0 8 5 49000805
+0 0 0 0 0 0 9 5 49000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 49000005
+1 0 0 0 0 0 1 5 49000105
+1 0 0 0 0 0 2 5 49000205
+1 0 0 0 0 0 3 5 49000305
+1 0 0 0 0 0 4 5 49000405
+1 0 0 0 0 0 5 5 49000505
+1 0 0 0 0 0 6 5 49000605
+1 0 0 0 0 0 7 5 49000705
+1 0 0 0 0 0 8 5 49000805
+1 0 0 0 0 0 9 5 49000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/fzz.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/fzz.zl
new file mode 100644
index 000000000..4eb36f5bc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/fzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz z (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 49000500
+0 0 0 0 0 0 5 1 49000501
+0 0 0 0 0 0 5 2 49000502
+0 0 0 0 0 0 5 3 49000503
+0 0 0 0 0 0 5 4 49000504
+0 0 0 0 0 0 5 5 49000505
+0 0 0 0 0 0 5 6 49000506
+0 0 0 0 0 0 5 7 49000507
+0 0 0 0 0 0 5 8 49000508
+0 0 0 0 0 0 5 9 49000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 49000500
+1 0 0 0 0 0 5 1 49000501
+1 0 0 0 0 0 5 2 49000502
+1 0 0 0 0 0 5 3 49000503
+1 0 0 0 0 0 5 4 49000504
+1 0 0 0 0 0 5 5 49000505
+1 0 0 0 0 0 5 6 49000506
+1 0 0 0 0 0 5 7 49000507
+1 0 0 0 0 0 5 8 49000508
+1 0 0 0 0 0 5 9 49000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/s.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/s.xl
new file mode 100644
index 000000000..14e43aa3e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/s.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::s x (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 1000505
+0 0 0 0 0 1 5 5 1010505
+0 0 0 0 0 2 5 5 1020505
+0 0 0 0 0 3 5 5 1030505
+0 0 0 0 0 4 5 5 1040505
+0 0 0 0 0 5 5 5 1050505
+0 0 0 0 0 6 5 5 1060505
+0 0 0 0 0 7 5 5 1070505
+0 0 0 0 0 8 5 5 1080505
+0 0 0 0 0 9 5 5 1090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 1000505
+1 0 0 0 0 1 5 5 1010505
+1 0 0 0 0 2 5 5 1020505
+1 0 0 0 0 3 5 5 1030505
+1 0 0 0 0 4 5 5 1040505
+1 0 0 0 0 5 5 5 1050505
+1 0 0 0 0 6 5 5 1060505
+1 0 0 0 0 7 5 5 1070505
+1 0 0 0 0 8 5 5 1080505
+1 0 0 0 0 9 5 5 1090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/s.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/s.yl
new file mode 100644
index 000000000..d62397fa5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/s.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::s y (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 1000005
+0 0 0 0 0 0 1 5 1000105
+0 0 0 0 0 0 2 5 1000205
+0 0 0 0 0 0 3 5 1000305
+0 0 0 0 0 0 4 5 1000405
+0 0 0 0 0 0 5 5 1000505
+0 0 0 0 0 0 6 5 1000605
+0 0 0 0 0 0 7 5 1000705
+0 0 0 0 0 0 8 5 1000805
+0 0 0 0 0 0 9 5 1000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 1000005
+1 0 0 0 0 0 1 5 1000105
+1 0 0 0 0 0 2 5 1000205
+1 0 0 0 0 0 3 5 1000305
+1 0 0 0 0 0 4 5 1000405
+1 0 0 0 0 0 5 5 1000505
+1 0 0 0 0 0 6 5 1000605
+1 0 0 0 0 0 7 5 1000705
+1 0 0 0 0 0 8 5 1000805
+1 0 0 0 0 0 9 5 1000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/s.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/s.zl
new file mode 100644
index 000000000..ca83d551c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/s.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::s z (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 1000500
+0 0 0 0 0 0 5 1 1000501
+0 0 0 0 0 0 5 2 1000502
+0 0 0 0 0 0 5 3 1000503
+0 0 0 0 0 0 5 4 1000504
+0 0 0 0 0 0 5 5 1000505
+0 0 0 0 0 0 5 6 1000506
+0 0 0 0 0 0 5 7 1000507
+0 0 0 0 0 0 5 8 1000508
+0 0 0 0 0 0 5 9 1000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 1000500
+1 0 0 0 0 0 5 1 1000501
+1 0 0 0 0 0 5 2 1000502
+1 0 0 0 0 0 5 3 1000503
+1 0 0 0 0 0 5 4 1000504
+1 0 0 0 0 0 5 5 1000505
+1 0 0 0 0 0 5 6 1000506
+1 0 0 0 0 0 5 7 1000507
+1 0 0 0 0 0 5 8 1000508
+1 0 0 0 0 0 5 9 1000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/spher3d_r.xl
new file mode 100644
index 000000000..b61313d6b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/spher3d_r.xl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 0.259807621135332
+0 0 0 0 0 1 5 5 0.49749371855331
+0 0 0 0 0 2 5 5 0.779422863405995
+0 0 0 0 0 3 5 5 1.07121426428143
+0 0 0 0 0 4 5 5 1.36656503687164
+0 0 0 0 0 5 5 5 1.66358047596141
+0 0 0 0 0 6 5 5 1.9615045245933
+0 0 0 0 0 7 5 5 2.2599778759979
+0 0 0 0 0 8 5 5 2.5588083163848
+0 0 0 0 0 9 5 5 2.85788383248865
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 0.259807621135332
+1 0 0 0 0 1 5 5 0.49749371855331
+1 0 0 0 0 2 5 5 0.779422863405995
+1 0 0 0 0 3 5 5 1.07121426428143
+1 0 0 0 0 4 5 5 1.36656503687164
+1 0 0 0 0 5 5 5 1.66358047596141
+1 0 0 0 0 6 5 5 1.9615045245933
+1 0 0 0 0 7 5 5 2.2599778759979
+1 0 0 0 0 8 5 5 2.5588083163848
+1 0 0 0 0 9 5 5 2.85788383248865
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/spher3d_r.yl
new file mode 100644
index 000000000..2a740f6bc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/spher3d_r.yl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 1.36656503687164
+0 0 0 0 0 0 1 5 1.07121426428143
+0 0 0 0 0 0 2 5 0.779422863405995
+0 0 0 0 0 0 3 5 0.49749371855331
+0 0 0 0 0 0 4 5 0.259807621135332
+0 0 0 0 0 0 5 5 0.259807621135332
+0 0 0 0 0 0 6 5 0.49749371855331
+0 0 0 0 0 0 7 5 0.779422863405995
+0 0 0 0 0 0 8 5 1.07121426428143
+0 0 0 0 0 0 9 5 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 1.36656503687164
+1 0 0 0 0 0 1 5 1.07121426428143
+1 0 0 0 0 0 2 5 0.779422863405995
+1 0 0 0 0 0 3 5 0.49749371855331
+1 0 0 0 0 0 4 5 0.259807621135332
+1 0 0 0 0 0 5 5 0.259807621135332
+1 0 0 0 0 0 6 5 0.49749371855331
+1 0 0 0 0 0 7 5 0.779422863405995
+1 0 0 0 0 0 8 5 1.07121426428143
+1 0 0 0 0 0 9 5 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/spher3d_r.zl
new file mode 100644
index 000000000..b666c616d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/spher3d_r.zl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 1.36656503687164
+0 0 0 0 0 0 5 1 1.07121426428143
+0 0 0 0 0 0 5 2 0.779422863405995
+0 0 0 0 0 0 5 3 0.49749371855331
+0 0 0 0 0 0 5 4 0.259807621135332
+0 0 0 0 0 0 5 5 0.259807621135332
+0 0 0 0 0 0 5 6 0.49749371855331
+0 0 0 0 0 0 5 7 0.779422863405995
+0 0 0 0 0 0 5 8 1.07121426428143
+0 0 0 0 0 0 5 9 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 1.36656503687164
+1 0 0 0 0 0 5 1 1.07121426428143
+1 0 0 0 0 0 5 2 0.779422863405995
+1 0 0 0 0 0 5 3 0.49749371855331
+1 0 0 0 0 0 5 4 0.259807621135332
+1 0 0 0 0 0 5 5 0.259807621135332
+1 0 0 0 0 0 5 6 0.49749371855331
+1 0 0 0 0 0 5 7 0.779422863405995
+1 0 0 0 0 0 5 8 1.07121426428143
+1 0 0 0 0 0 5 9 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/txx.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/txx.xl
new file mode 100644
index 000000000..ec49b7513
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/txx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx x (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 21000505
+0 0 0 0 0 1 5 5 21010505
+0 0 0 0 0 2 5 5 21020505
+0 0 0 0 0 3 5 5 21030505
+0 0 0 0 0 4 5 5 21040505
+0 0 0 0 0 5 5 5 21050505
+0 0 0 0 0 6 5 5 21060505
+0 0 0 0 0 7 5 5 21070505
+0 0 0 0 0 8 5 5 21080505
+0 0 0 0 0 9 5 5 21090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 21000505
+1 0 0 0 0 1 5 5 21010505
+1 0 0 0 0 2 5 5 21020505
+1 0 0 0 0 3 5 5 21030505
+1 0 0 0 0 4 5 5 21040505
+1 0 0 0 0 5 5 5 21050505
+1 0 0 0 0 6 5 5 21060505
+1 0 0 0 0 7 5 5 21070505
+1 0 0 0 0 8 5 5 21080505
+1 0 0 0 0 9 5 5 21090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/txx.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/txx.yl
new file mode 100644
index 000000000..7fb822a49
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/txx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx y (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 21000005
+0 0 0 0 0 0 1 5 21000105
+0 0 0 0 0 0 2 5 21000205
+0 0 0 0 0 0 3 5 21000305
+0 0 0 0 0 0 4 5 21000405
+0 0 0 0 0 0 5 5 21000505
+0 0 0 0 0 0 6 5 21000605
+0 0 0 0 0 0 7 5 21000705
+0 0 0 0 0 0 8 5 21000805
+0 0 0 0 0 0 9 5 21000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 21000005
+1 0 0 0 0 0 1 5 21000105
+1 0 0 0 0 0 2 5 21000205
+1 0 0 0 0 0 3 5 21000305
+1 0 0 0 0 0 4 5 21000405
+1 0 0 0 0 0 5 5 21000505
+1 0 0 0 0 0 6 5 21000605
+1 0 0 0 0 0 7 5 21000705
+1 0 0 0 0 0 8 5 21000805
+1 0 0 0 0 0 9 5 21000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/txx.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/txx.zl
new file mode 100644
index 000000000..b7965e31d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/txx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx z (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 21000500
+0 0 0 0 0 0 5 1 21000501
+0 0 0 0 0 0 5 2 21000502
+0 0 0 0 0 0 5 3 21000503
+0 0 0 0 0 0 5 4 21000504
+0 0 0 0 0 0 5 5 21000505
+0 0 0 0 0 0 5 6 21000506
+0 0 0 0 0 0 5 7 21000507
+0 0 0 0 0 0 5 8 21000508
+0 0 0 0 0 0 5 9 21000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 21000500
+1 0 0 0 0 0 5 1 21000501
+1 0 0 0 0 0 5 2 21000502
+1 0 0 0 0 0 5 3 21000503
+1 0 0 0 0 0 5 4 21000504
+1 0 0 0 0 0 5 5 21000505
+1 0 0 0 0 0 5 6 21000506
+1 0 0 0 0 0 5 7 21000507
+1 0 0 0 0 0 5 8 21000508
+1 0 0 0 0 0 5 9 21000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/txy.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/txy.xl
new file mode 100644
index 000000000..c0a04db3d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/txy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy x (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 22000505
+0 0 0 0 0 1 5 5 22010505
+0 0 0 0 0 2 5 5 22020505
+0 0 0 0 0 3 5 5 22030505
+0 0 0 0 0 4 5 5 22040505
+0 0 0 0 0 5 5 5 22050505
+0 0 0 0 0 6 5 5 22060505
+0 0 0 0 0 7 5 5 22070505
+0 0 0 0 0 8 5 5 22080505
+0 0 0 0 0 9 5 5 22090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 22000505
+1 0 0 0 0 1 5 5 22010505
+1 0 0 0 0 2 5 5 22020505
+1 0 0 0 0 3 5 5 22030505
+1 0 0 0 0 4 5 5 22040505
+1 0 0 0 0 5 5 5 22050505
+1 0 0 0 0 6 5 5 22060505
+1 0 0 0 0 7 5 5 22070505
+1 0 0 0 0 8 5 5 22080505
+1 0 0 0 0 9 5 5 22090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/txy.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/txy.yl
new file mode 100644
index 000000000..e47c1bb97
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/txy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy y (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 22000005
+0 0 0 0 0 0 1 5 22000105
+0 0 0 0 0 0 2 5 22000205
+0 0 0 0 0 0 3 5 22000305
+0 0 0 0 0 0 4 5 22000405
+0 0 0 0 0 0 5 5 22000505
+0 0 0 0 0 0 6 5 22000605
+0 0 0 0 0 0 7 5 22000705
+0 0 0 0 0 0 8 5 22000805
+0 0 0 0 0 0 9 5 22000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 22000005
+1 0 0 0 0 0 1 5 22000105
+1 0 0 0 0 0 2 5 22000205
+1 0 0 0 0 0 3 5 22000305
+1 0 0 0 0 0 4 5 22000405
+1 0 0 0 0 0 5 5 22000505
+1 0 0 0 0 0 6 5 22000605
+1 0 0 0 0 0 7 5 22000705
+1 0 0 0 0 0 8 5 22000805
+1 0 0 0 0 0 9 5 22000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/txy.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/txy.zl
new file mode 100644
index 000000000..21598136a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/txy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy z (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 22000500
+0 0 0 0 0 0 5 1 22000501
+0 0 0 0 0 0 5 2 22000502
+0 0 0 0 0 0 5 3 22000503
+0 0 0 0 0 0 5 4 22000504
+0 0 0 0 0 0 5 5 22000505
+0 0 0 0 0 0 5 6 22000506
+0 0 0 0 0 0 5 7 22000507
+0 0 0 0 0 0 5 8 22000508
+0 0 0 0 0 0 5 9 22000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 22000500
+1 0 0 0 0 0 5 1 22000501
+1 0 0 0 0 0 5 2 22000502
+1 0 0 0 0 0 5 3 22000503
+1 0 0 0 0 0 5 4 22000504
+1 0 0 0 0 0 5 5 22000505
+1 0 0 0 0 0 5 6 22000506
+1 0 0 0 0 0 5 7 22000507
+1 0 0 0 0 0 5 8 22000508
+1 0 0 0 0 0 5 9 22000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/txz.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/txz.xl
new file mode 100644
index 000000000..ef056f783
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/txz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz x (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 23000505
+0 0 0 0 0 1 5 5 23010505
+0 0 0 0 0 2 5 5 23020505
+0 0 0 0 0 3 5 5 23030505
+0 0 0 0 0 4 5 5 23040505
+0 0 0 0 0 5 5 5 23050505
+0 0 0 0 0 6 5 5 23060505
+0 0 0 0 0 7 5 5 23070505
+0 0 0 0 0 8 5 5 23080505
+0 0 0 0 0 9 5 5 23090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 23000505
+1 0 0 0 0 1 5 5 23010505
+1 0 0 0 0 2 5 5 23020505
+1 0 0 0 0 3 5 5 23030505
+1 0 0 0 0 4 5 5 23040505
+1 0 0 0 0 5 5 5 23050505
+1 0 0 0 0 6 5 5 23060505
+1 0 0 0 0 7 5 5 23070505
+1 0 0 0 0 8 5 5 23080505
+1 0 0 0 0 9 5 5 23090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/txz.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/txz.yl
new file mode 100644
index 000000000..8f326d9bd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/txz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz y (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 23000005
+0 0 0 0 0 0 1 5 23000105
+0 0 0 0 0 0 2 5 23000205
+0 0 0 0 0 0 3 5 23000305
+0 0 0 0 0 0 4 5 23000405
+0 0 0 0 0 0 5 5 23000505
+0 0 0 0 0 0 6 5 23000605
+0 0 0 0 0 0 7 5 23000705
+0 0 0 0 0 0 8 5 23000805
+0 0 0 0 0 0 9 5 23000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 23000005
+1 0 0 0 0 0 1 5 23000105
+1 0 0 0 0 0 2 5 23000205
+1 0 0 0 0 0 3 5 23000305
+1 0 0 0 0 0 4 5 23000405
+1 0 0 0 0 0 5 5 23000505
+1 0 0 0 0 0 6 5 23000605
+1 0 0 0 0 0 7 5 23000705
+1 0 0 0 0 0 8 5 23000805
+1 0 0 0 0 0 9 5 23000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/txz.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/txz.zl
new file mode 100644
index 000000000..632e3eb31
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/txz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz z (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 23000500
+0 0 0 0 0 0 5 1 23000501
+0 0 0 0 0 0 5 2 23000502
+0 0 0 0 0 0 5 3 23000503
+0 0 0 0 0 0 5 4 23000504
+0 0 0 0 0 0 5 5 23000505
+0 0 0 0 0 0 5 6 23000506
+0 0 0 0 0 0 5 7 23000507
+0 0 0 0 0 0 5 8 23000508
+0 0 0 0 0 0 5 9 23000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 23000500
+1 0 0 0 0 0 5 1 23000501
+1 0 0 0 0 0 5 2 23000502
+1 0 0 0 0 0 5 3 23000503
+1 0 0 0 0 0 5 4 23000504
+1 0 0 0 0 0 5 5 23000505
+1 0 0 0 0 0 5 6 23000506
+1 0 0 0 0 0 5 7 23000507
+1 0 0 0 0 0 5 8 23000508
+1 0 0 0 0 0 5 9 23000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/tyy.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/tyy.xl
new file mode 100644
index 000000000..6a8ea71c4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/tyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy x (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 24000505
+0 0 0 0 0 1 5 5 24010505
+0 0 0 0 0 2 5 5 24020505
+0 0 0 0 0 3 5 5 24030505
+0 0 0 0 0 4 5 5 24040505
+0 0 0 0 0 5 5 5 24050505
+0 0 0 0 0 6 5 5 24060505
+0 0 0 0 0 7 5 5 24070505
+0 0 0 0 0 8 5 5 24080505
+0 0 0 0 0 9 5 5 24090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 24000505
+1 0 0 0 0 1 5 5 24010505
+1 0 0 0 0 2 5 5 24020505
+1 0 0 0 0 3 5 5 24030505
+1 0 0 0 0 4 5 5 24040505
+1 0 0 0 0 5 5 5 24050505
+1 0 0 0 0 6 5 5 24060505
+1 0 0 0 0 7 5 5 24070505
+1 0 0 0 0 8 5 5 24080505
+1 0 0 0 0 9 5 5 24090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/tyy.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/tyy.yl
new file mode 100644
index 000000000..02b77f853
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/tyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy y (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 24000005
+0 0 0 0 0 0 1 5 24000105
+0 0 0 0 0 0 2 5 24000205
+0 0 0 0 0 0 3 5 24000305
+0 0 0 0 0 0 4 5 24000405
+0 0 0 0 0 0 5 5 24000505
+0 0 0 0 0 0 6 5 24000605
+0 0 0 0 0 0 7 5 24000705
+0 0 0 0 0 0 8 5 24000805
+0 0 0 0 0 0 9 5 24000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 24000005
+1 0 0 0 0 0 1 5 24000105
+1 0 0 0 0 0 2 5 24000205
+1 0 0 0 0 0 3 5 24000305
+1 0 0 0 0 0 4 5 24000405
+1 0 0 0 0 0 5 5 24000505
+1 0 0 0 0 0 6 5 24000605
+1 0 0 0 0 0 7 5 24000705
+1 0 0 0 0 0 8 5 24000805
+1 0 0 0 0 0 9 5 24000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/tyy.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/tyy.zl
new file mode 100644
index 000000000..c69cf891e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/tyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy z (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 24000500
+0 0 0 0 0 0 5 1 24000501
+0 0 0 0 0 0 5 2 24000502
+0 0 0 0 0 0 5 3 24000503
+0 0 0 0 0 0 5 4 24000504
+0 0 0 0 0 0 5 5 24000505
+0 0 0 0 0 0 5 6 24000506
+0 0 0 0 0 0 5 7 24000507
+0 0 0 0 0 0 5 8 24000508
+0 0 0 0 0 0 5 9 24000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 24000500
+1 0 0 0 0 0 5 1 24000501
+1 0 0 0 0 0 5 2 24000502
+1 0 0 0 0 0 5 3 24000503
+1 0 0 0 0 0 5 4 24000504
+1 0 0 0 0 0 5 5 24000505
+1 0 0 0 0 0 5 6 24000506
+1 0 0 0 0 0 5 7 24000507
+1 0 0 0 0 0 5 8 24000508
+1 0 0 0 0 0 5 9 24000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/tyz.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/tyz.xl
new file mode 100644
index 000000000..011e5ce29
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/tyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz x (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 25000505
+0 0 0 0 0 1 5 5 25010505
+0 0 0 0 0 2 5 5 25020505
+0 0 0 0 0 3 5 5 25030505
+0 0 0 0 0 4 5 5 25040505
+0 0 0 0 0 5 5 5 25050505
+0 0 0 0 0 6 5 5 25060505
+0 0 0 0 0 7 5 5 25070505
+0 0 0 0 0 8 5 5 25080505
+0 0 0 0 0 9 5 5 25090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 25000505
+1 0 0 0 0 1 5 5 25010505
+1 0 0 0 0 2 5 5 25020505
+1 0 0 0 0 3 5 5 25030505
+1 0 0 0 0 4 5 5 25040505
+1 0 0 0 0 5 5 5 25050505
+1 0 0 0 0 6 5 5 25060505
+1 0 0 0 0 7 5 5 25070505
+1 0 0 0 0 8 5 5 25080505
+1 0 0 0 0 9 5 5 25090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/tyz.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/tyz.yl
new file mode 100644
index 000000000..e5bf5759e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/tyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz y (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 25000005
+0 0 0 0 0 0 1 5 25000105
+0 0 0 0 0 0 2 5 25000205
+0 0 0 0 0 0 3 5 25000305
+0 0 0 0 0 0 4 5 25000405
+0 0 0 0 0 0 5 5 25000505
+0 0 0 0 0 0 6 5 25000605
+0 0 0 0 0 0 7 5 25000705
+0 0 0 0 0 0 8 5 25000805
+0 0 0 0 0 0 9 5 25000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 25000005
+1 0 0 0 0 0 1 5 25000105
+1 0 0 0 0 0 2 5 25000205
+1 0 0 0 0 0 3 5 25000305
+1 0 0 0 0 0 4 5 25000405
+1 0 0 0 0 0 5 5 25000505
+1 0 0 0 0 0 6 5 25000605
+1 0 0 0 0 0 7 5 25000705
+1 0 0 0 0 0 8 5 25000805
+1 0 0 0 0 0 9 5 25000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/tyz.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/tyz.zl
new file mode 100644
index 000000000..9a2bfdd68
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/tyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz z (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 25000500
+0 0 0 0 0 0 5 1 25000501
+0 0 0 0 0 0 5 2 25000502
+0 0 0 0 0 0 5 3 25000503
+0 0 0 0 0 0 5 4 25000504
+0 0 0 0 0 0 5 5 25000505
+0 0 0 0 0 0 5 6 25000506
+0 0 0 0 0 0 5 7 25000507
+0 0 0 0 0 0 5 8 25000508
+0 0 0 0 0 0 5 9 25000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 25000500
+1 0 0 0 0 0 5 1 25000501
+1 0 0 0 0 0 5 2 25000502
+1 0 0 0 0 0 5 3 25000503
+1 0 0 0 0 0 5 4 25000504
+1 0 0 0 0 0 5 5 25000505
+1 0 0 0 0 0 5 6 25000506
+1 0 0 0 0 0 5 7 25000507
+1 0 0 0 0 0 5 8 25000508
+1 0 0 0 0 0 5 9 25000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/tzz.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/tzz.xl
new file mode 100644
index 000000000..0035c4de3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/tzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz x (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 26000505
+0 0 0 0 0 1 5 5 26010505
+0 0 0 0 0 2 5 5 26020505
+0 0 0 0 0 3 5 5 26030505
+0 0 0 0 0 4 5 5 26040505
+0 0 0 0 0 5 5 5 26050505
+0 0 0 0 0 6 5 5 26060505
+0 0 0 0 0 7 5 5 26070505
+0 0 0 0 0 8 5 5 26080505
+0 0 0 0 0 9 5 5 26090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 26000505
+1 0 0 0 0 1 5 5 26010505
+1 0 0 0 0 2 5 5 26020505
+1 0 0 0 0 3 5 5 26030505
+1 0 0 0 0 4 5 5 26040505
+1 0 0 0 0 5 5 5 26050505
+1 0 0 0 0 6 5 5 26060505
+1 0 0 0 0 7 5 5 26070505
+1 0 0 0 0 8 5 5 26080505
+1 0 0 0 0 9 5 5 26090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/tzz.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/tzz.yl
new file mode 100644
index 000000000..e6017cc56
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/tzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz y (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 26000005
+0 0 0 0 0 0 1 5 26000105
+0 0 0 0 0 0 2 5 26000205
+0 0 0 0 0 0 3 5 26000305
+0 0 0 0 0 0 4 5 26000405
+0 0 0 0 0 0 5 5 26000505
+0 0 0 0 0 0 6 5 26000605
+0 0 0 0 0 0 7 5 26000705
+0 0 0 0 0 0 8 5 26000805
+0 0 0 0 0 0 9 5 26000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 26000005
+1 0 0 0 0 0 1 5 26000105
+1 0 0 0 0 0 2 5 26000205
+1 0 0 0 0 0 3 5 26000305
+1 0 0 0 0 0 4 5 26000405
+1 0 0 0 0 0 5 5 26000505
+1 0 0 0 0 0 6 5 26000605
+1 0 0 0 0 0 7 5 26000705
+1 0 0 0 0 0 8 5 26000805
+1 0 0 0 0 0 9 5 26000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/tzz.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/tzz.zl
new file mode 100644
index 000000000..797e4e57a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/tzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz z (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 26000500
+0 0 0 0 0 0 5 1 26000501
+0 0 0 0 0 0 5 2 26000502
+0 0 0 0 0 0 5 3 26000503
+0 0 0 0 0 0 5 4 26000504
+0 0 0 0 0 0 5 5 26000505
+0 0 0 0 0 0 5 6 26000506
+0 0 0 0 0 0 5 7 26000507
+0 0 0 0 0 0 5 8 26000508
+0 0 0 0 0 0 5 9 26000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 26000500
+1 0 0 0 0 0 5 1 26000501
+1 0 0 0 0 0 5 2 26000502
+1 0 0 0 0 0 5 3 26000503
+1 0 0 0 0 0 5 4 26000504
+1 0 0 0 0 0 5 5 26000505
+1 0 0 0 0 0 5 6 26000506
+1 0 0 0 0 0 5 7 26000507
+1 0 0 0 0 0 5 8 26000508
+1 0 0 0 0 0 5 9 26000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/vx.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/vx.xl
new file mode 100644
index 000000000..d4dafe57f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/vx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 11000505
+0 0 0 0 0 1 5 5 11010505
+0 0 0 0 0 2 5 5 11020505
+0 0 0 0 0 3 5 5 11030505
+0 0 0 0 0 4 5 5 11040505
+0 0 0 0 0 5 5 5 11050505
+0 0 0 0 0 6 5 5 11060505
+0 0 0 0 0 7 5 5 11070505
+0 0 0 0 0 8 5 5 11080505
+0 0 0 0 0 9 5 5 11090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 11000505
+1 0 0 0 0 1 5 5 11010505
+1 0 0 0 0 2 5 5 11020505
+1 0 0 0 0 3 5 5 11030505
+1 0 0 0 0 4 5 5 11040505
+1 0 0 0 0 5 5 5 11050505
+1 0 0 0 0 6 5 5 11060505
+1 0 0 0 0 7 5 5 11070505
+1 0 0 0 0 8 5 5 11080505
+1 0 0 0 0 9 5 5 11090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/vx.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/vx.yl
new file mode 100644
index 000000000..406347a71
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/vx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 11000005
+0 0 0 0 0 0 1 5 11000105
+0 0 0 0 0 0 2 5 11000205
+0 0 0 0 0 0 3 5 11000305
+0 0 0 0 0 0 4 5 11000405
+0 0 0 0 0 0 5 5 11000505
+0 0 0 0 0 0 6 5 11000605
+0 0 0 0 0 0 7 5 11000705
+0 0 0 0 0 0 8 5 11000805
+0 0 0 0 0 0 9 5 11000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 11000005
+1 0 0 0 0 0 1 5 11000105
+1 0 0 0 0 0 2 5 11000205
+1 0 0 0 0 0 3 5 11000305
+1 0 0 0 0 0 4 5 11000405
+1 0 0 0 0 0 5 5 11000505
+1 0 0 0 0 0 6 5 11000605
+1 0 0 0 0 0 7 5 11000705
+1 0 0 0 0 0 8 5 11000805
+1 0 0 0 0 0 9 5 11000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/vx.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/vx.zl
new file mode 100644
index 000000000..d93054cf1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/vx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 11000500
+0 0 0 0 0 0 5 1 11000501
+0 0 0 0 0 0 5 2 11000502
+0 0 0 0 0 0 5 3 11000503
+0 0 0 0 0 0 5 4 11000504
+0 0 0 0 0 0 5 5 11000505
+0 0 0 0 0 0 5 6 11000506
+0 0 0 0 0 0 5 7 11000507
+0 0 0 0 0 0 5 8 11000508
+0 0 0 0 0 0 5 9 11000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 11000500
+1 0 0 0 0 0 5 1 11000501
+1 0 0 0 0 0 5 2 11000502
+1 0 0 0 0 0 5 3 11000503
+1 0 0 0 0 0 5 4 11000504
+1 0 0 0 0 0 5 5 11000505
+1 0 0 0 0 0 5 6 11000506
+1 0 0 0 0 0 5 7 11000507
+1 0 0 0 0 0 5 8 11000508
+1 0 0 0 0 0 5 9 11000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/vy.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/vy.xl
new file mode 100644
index 000000000..487f382f4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/vy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 12000505
+0 0 0 0 0 1 5 5 12010505
+0 0 0 0 0 2 5 5 12020505
+0 0 0 0 0 3 5 5 12030505
+0 0 0 0 0 4 5 5 12040505
+0 0 0 0 0 5 5 5 12050505
+0 0 0 0 0 6 5 5 12060505
+0 0 0 0 0 7 5 5 12070505
+0 0 0 0 0 8 5 5 12080505
+0 0 0 0 0 9 5 5 12090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 12000505
+1 0 0 0 0 1 5 5 12010505
+1 0 0 0 0 2 5 5 12020505
+1 0 0 0 0 3 5 5 12030505
+1 0 0 0 0 4 5 5 12040505
+1 0 0 0 0 5 5 5 12050505
+1 0 0 0 0 6 5 5 12060505
+1 0 0 0 0 7 5 5 12070505
+1 0 0 0 0 8 5 5 12080505
+1 0 0 0 0 9 5 5 12090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/vy.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/vy.yl
new file mode 100644
index 000000000..04473dce8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/vy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 12000005
+0 0 0 0 0 0 1 5 12000105
+0 0 0 0 0 0 2 5 12000205
+0 0 0 0 0 0 3 5 12000305
+0 0 0 0 0 0 4 5 12000405
+0 0 0 0 0 0 5 5 12000505
+0 0 0 0 0 0 6 5 12000605
+0 0 0 0 0 0 7 5 12000705
+0 0 0 0 0 0 8 5 12000805
+0 0 0 0 0 0 9 5 12000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 12000005
+1 0 0 0 0 0 1 5 12000105
+1 0 0 0 0 0 2 5 12000205
+1 0 0 0 0 0 3 5 12000305
+1 0 0 0 0 0 4 5 12000405
+1 0 0 0 0 0 5 5 12000505
+1 0 0 0 0 0 6 5 12000605
+1 0 0 0 0 0 7 5 12000705
+1 0 0 0 0 0 8 5 12000805
+1 0 0 0 0 0 9 5 12000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/vy.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/vy.zl
new file mode 100644
index 000000000..f0106f3d1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/vy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 12000500
+0 0 0 0 0 0 5 1 12000501
+0 0 0 0 0 0 5 2 12000502
+0 0 0 0 0 0 5 3 12000503
+0 0 0 0 0 0 5 4 12000504
+0 0 0 0 0 0 5 5 12000505
+0 0 0 0 0 0 5 6 12000506
+0 0 0 0 0 0 5 7 12000507
+0 0 0 0 0 0 5 8 12000508
+0 0 0 0 0 0 5 9 12000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 12000500
+1 0 0 0 0 0 5 1 12000501
+1 0 0 0 0 0 5 2 12000502
+1 0 0 0 0 0 5 3 12000503
+1 0 0 0 0 0 5 4 12000504
+1 0 0 0 0 0 5 5 12000505
+1 0 0 0 0 0 5 6 12000506
+1 0 0 0 0 0 5 7 12000507
+1 0 0 0 0 0 5 8 12000508
+1 0 0 0 0 0 5 9 12000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/vz.xl b/CarpetAttic/Cart3dTest/test/symmetric-x/vz.xl
new file mode 100644
index 000000000..7385d5001
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/vz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 5 13000505
+0 0 0 0 0 1 5 5 13010505
+0 0 0 0 0 2 5 5 13020505
+0 0 0 0 0 3 5 5 13030505
+0 0 0 0 0 4 5 5 13040505
+0 0 0 0 0 5 5 5 13050505
+0 0 0 0 0 6 5 5 13060505
+0 0 0 0 0 7 5 5 13070505
+0 0 0 0 0 8 5 5 13080505
+0 0 0 0 0 9 5 5 13090505
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 5 13000505
+1 0 0 0 0 1 5 5 13010505
+1 0 0 0 0 2 5 5 13020505
+1 0 0 0 0 3 5 5 13030505
+1 0 0 0 0 4 5 5 13040505
+1 0 0 0 0 5 5 5 13050505
+1 0 0 0 0 6 5 5 13060505
+1 0 0 0 0 7 5 5 13070505
+1 0 0 0 0 8 5 5 13080505
+1 0 0 0 0 9 5 5 13090505
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/vz.yl b/CarpetAttic/Cart3dTest/test/symmetric-x/vz.yl
new file mode 100644
index 000000000..2a3d59f32
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/vz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 0 5 13000005
+0 0 0 0 0 0 1 5 13000105
+0 0 0 0 0 0 2 5 13000205
+0 0 0 0 0 0 3 5 13000305
+0 0 0 0 0 0 4 5 13000405
+0 0 0 0 0 0 5 5 13000505
+0 0 0 0 0 0 6 5 13000605
+0 0 0 0 0 0 7 5 13000705
+0 0 0 0 0 0 8 5 13000805
+0 0 0 0 0 0 9 5 13000905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 0 5 13000005
+1 0 0 0 0 0 1 5 13000105
+1 0 0 0 0 0 2 5 13000205
+1 0 0 0 0 0 3 5 13000305
+1 0 0 0 0 0 4 5 13000405
+1 0 0 0 0 0 5 5 13000505
+1 0 0 0 0 0 6 5 13000605
+1 0 0 0 0 0 7 5 13000705
+1 0 0 0 0 0 8 5 13000805
+1 0 0 0 0 0 9 5 13000905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-x/vz.zl b/CarpetAttic/Cart3dTest/test/symmetric-x/vz.zl
new file mode 100644
index 000000000..ad03363ed
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-x/vz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 0 13000500
+0 0 0 0 0 0 5 1 13000501
+0 0 0 0 0 0 5 2 13000502
+0 0 0 0 0 0 5 3 13000503
+0 0 0 0 0 0 5 4 13000504
+0 0 0 0 0 0 5 5 13000505
+0 0 0 0 0 0 5 6 13000506
+0 0 0 0 0 0 5 7 13000507
+0 0 0 0 0 0 5 8 13000508
+0 0 0 0 0 0 5 9 13000509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 0 13000500
+1 0 0 0 0 0 5 1 13000501
+1 0 0 0 0 0 5 2 13000502
+1 0 0 0 0 0 5 3 13000503
+1 0 0 0 0 0 5 4 13000504
+1 0 0 0 0 0 5 5 13000505
+1 0 0 0 0 0 5 6 13000506
+1 0 0 0 0 0 5 7 13000507
+1 0 0 0 0 0 5 8 13000508
+1 0 0 0 0 0 5 9 13000509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y.log b/CarpetAttic/Cart3dTest/test/symmetric-y.log
new file mode 100644
index 000000000..8b02f3bdb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y.log
@@ -0,0 +1,81 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y.par b/CarpetAttic/Cart3dTest/test/symmetric-y.par
new file mode 100644
index 000000000..6087f0222
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y.par
@@ -0,0 +1,17 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/symmetric-y.par,v 1.4 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 1
+
+grid::type = "byspacing"
+grid::mode_y = "symmetric"
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "symmetric-y"
+IOASCII::out1D_vars = "grid::coordinates Cart3dTest::quantities"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/ax.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/ax.xl
new file mode 100644
index 000000000..397050783
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/ax.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax x (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 31000105
+0 0 0 0 0 1 1 5 31010105
+0 0 0 0 0 2 1 5 31020105
+0 0 0 0 0 3 1 5 31030105
+0 0 0 0 0 4 1 5 31040105
+0 0 0 0 0 5 1 5 31050105
+0 0 0 0 0 6 1 5 31060105
+0 0 0 0 0 7 1 5 31070105
+0 0 0 0 0 8 1 5 31080105
+0 0 0 0 0 9 1 5 31090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 31000105
+1 0 0 0 0 1 1 5 31010105
+1 0 0 0 0 2 1 5 31020105
+1 0 0 0 0 3 1 5 31030105
+1 0 0 0 0 4 1 5 31040105
+1 0 0 0 0 5 1 5 31050105
+1 0 0 0 0 6 1 5 31060105
+1 0 0 0 0 7 1 5 31070105
+1 0 0 0 0 8 1 5 31080105
+1 0 0 0 0 9 1 5 31090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/ax.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/ax.yl
new file mode 100644
index 000000000..b048821dc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/ax.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax y (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 31050005
+0 0 0 0 0 5 1 5 31050105
+0 0 0 0 0 5 2 5 31050205
+0 0 0 0 0 5 3 5 31050305
+0 0 0 0 0 5 4 5 31050405
+0 0 0 0 0 5 5 5 31050505
+0 0 0 0 0 5 6 5 31050605
+0 0 0 0 0 5 7 5 31050705
+0 0 0 0 0 5 8 5 31050805
+0 0 0 0 0 5 9 5 31050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 -31050105
+1 0 0 0 0 5 1 5 31050105
+1 0 0 0 0 5 2 5 31050205
+1 0 0 0 0 5 3 5 31050305
+1 0 0 0 0 5 4 5 31050405
+1 0 0 0 0 5 5 5 31050505
+1 0 0 0 0 5 6 5 31050605
+1 0 0 0 0 5 7 5 31050705
+1 0 0 0 0 5 8 5 31050805
+1 0 0 0 0 5 9 5 31050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/ax.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/ax.zl
new file mode 100644
index 000000000..58cdf61ac
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/ax.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax z (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 31050100
+0 0 0 0 0 5 1 1 31050101
+0 0 0 0 0 5 1 2 31050102
+0 0 0 0 0 5 1 3 31050103
+0 0 0 0 0 5 1 4 31050104
+0 0 0 0 0 5 1 5 31050105
+0 0 0 0 0 5 1 6 31050106
+0 0 0 0 0 5 1 7 31050107
+0 0 0 0 0 5 1 8 31050108
+0 0 0 0 0 5 1 9 31050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 31050100
+1 0 0 0 0 5 1 1 31050101
+1 0 0 0 0 5 1 2 31050102
+1 0 0 0 0 5 1 3 31050103
+1 0 0 0 0 5 1 4 31050104
+1 0 0 0 0 5 1 5 31050105
+1 0 0 0 0 5 1 6 31050106
+1 0 0 0 0 5 1 7 31050107
+1 0 0 0 0 5 1 8 31050108
+1 0 0 0 0 5 1 9 31050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/ay.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/ay.xl
new file mode 100644
index 000000000..99252f51f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/ay.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay x (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 32000105
+0 0 0 0 0 1 1 5 32010105
+0 0 0 0 0 2 1 5 32020105
+0 0 0 0 0 3 1 5 32030105
+0 0 0 0 0 4 1 5 32040105
+0 0 0 0 0 5 1 5 32050105
+0 0 0 0 0 6 1 5 32060105
+0 0 0 0 0 7 1 5 32070105
+0 0 0 0 0 8 1 5 32080105
+0 0 0 0 0 9 1 5 32090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 32000105
+1 0 0 0 0 1 1 5 32010105
+1 0 0 0 0 2 1 5 32020105
+1 0 0 0 0 3 1 5 32030105
+1 0 0 0 0 4 1 5 32040105
+1 0 0 0 0 5 1 5 32050105
+1 0 0 0 0 6 1 5 32060105
+1 0 0 0 0 7 1 5 32070105
+1 0 0 0 0 8 1 5 32080105
+1 0 0 0 0 9 1 5 32090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/ay.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/ay.yl
new file mode 100644
index 000000000..903b3c096
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/ay.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay y (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 32050005
+0 0 0 0 0 5 1 5 32050105
+0 0 0 0 0 5 2 5 32050205
+0 0 0 0 0 5 3 5 32050305
+0 0 0 0 0 5 4 5 32050405
+0 0 0 0 0 5 5 5 32050505
+0 0 0 0 0 5 6 5 32050605
+0 0 0 0 0 5 7 5 32050705
+0 0 0 0 0 5 8 5 32050805
+0 0 0 0 0 5 9 5 32050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 32050105
+1 0 0 0 0 5 1 5 32050105
+1 0 0 0 0 5 2 5 32050205
+1 0 0 0 0 5 3 5 32050305
+1 0 0 0 0 5 4 5 32050405
+1 0 0 0 0 5 5 5 32050505
+1 0 0 0 0 5 6 5 32050605
+1 0 0 0 0 5 7 5 32050705
+1 0 0 0 0 5 8 5 32050805
+1 0 0 0 0 5 9 5 32050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/ay.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/ay.zl
new file mode 100644
index 000000000..7210cf6bd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/ay.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay z (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 32050100
+0 0 0 0 0 5 1 1 32050101
+0 0 0 0 0 5 1 2 32050102
+0 0 0 0 0 5 1 3 32050103
+0 0 0 0 0 5 1 4 32050104
+0 0 0 0 0 5 1 5 32050105
+0 0 0 0 0 5 1 6 32050106
+0 0 0 0 0 5 1 7 32050107
+0 0 0 0 0 5 1 8 32050108
+0 0 0 0 0 5 1 9 32050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 32050100
+1 0 0 0 0 5 1 1 32050101
+1 0 0 0 0 5 1 2 32050102
+1 0 0 0 0 5 1 3 32050103
+1 0 0 0 0 5 1 4 32050104
+1 0 0 0 0 5 1 5 32050105
+1 0 0 0 0 5 1 6 32050106
+1 0 0 0 0 5 1 7 32050107
+1 0 0 0 0 5 1 8 32050108
+1 0 0 0 0 5 1 9 32050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/az.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/az.xl
new file mode 100644
index 000000000..739247d1f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/az.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::az x (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 33000105
+0 0 0 0 0 1 1 5 33010105
+0 0 0 0 0 2 1 5 33020105
+0 0 0 0 0 3 1 5 33030105
+0 0 0 0 0 4 1 5 33040105
+0 0 0 0 0 5 1 5 33050105
+0 0 0 0 0 6 1 5 33060105
+0 0 0 0 0 7 1 5 33070105
+0 0 0 0 0 8 1 5 33080105
+0 0 0 0 0 9 1 5 33090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 33000105
+1 0 0 0 0 1 1 5 33010105
+1 0 0 0 0 2 1 5 33020105
+1 0 0 0 0 3 1 5 33030105
+1 0 0 0 0 4 1 5 33040105
+1 0 0 0 0 5 1 5 33050105
+1 0 0 0 0 6 1 5 33060105
+1 0 0 0 0 7 1 5 33070105
+1 0 0 0 0 8 1 5 33080105
+1 0 0 0 0 9 1 5 33090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/az.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/az.yl
new file mode 100644
index 000000000..6cb6ff24a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/az.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::az y (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 33050005
+0 0 0 0 0 5 1 5 33050105
+0 0 0 0 0 5 2 5 33050205
+0 0 0 0 0 5 3 5 33050305
+0 0 0 0 0 5 4 5 33050405
+0 0 0 0 0 5 5 5 33050505
+0 0 0 0 0 5 6 5 33050605
+0 0 0 0 0 5 7 5 33050705
+0 0 0 0 0 5 8 5 33050805
+0 0 0 0 0 5 9 5 33050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 -33050105
+1 0 0 0 0 5 1 5 33050105
+1 0 0 0 0 5 2 5 33050205
+1 0 0 0 0 5 3 5 33050305
+1 0 0 0 0 5 4 5 33050405
+1 0 0 0 0 5 5 5 33050505
+1 0 0 0 0 5 6 5 33050605
+1 0 0 0 0 5 7 5 33050705
+1 0 0 0 0 5 8 5 33050805
+1 0 0 0 0 5 9 5 33050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/az.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/az.zl
new file mode 100644
index 000000000..60c44a853
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/az.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::az z (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 33050100
+0 0 0 0 0 5 1 1 33050101
+0 0 0 0 0 5 1 2 33050102
+0 0 0 0 0 5 1 3 33050103
+0 0 0 0 0 5 1 4 33050104
+0 0 0 0 0 5 1 5 33050105
+0 0 0 0 0 5 1 6 33050106
+0 0 0 0 0 5 1 7 33050107
+0 0 0 0 0 5 1 8 33050108
+0 0 0 0 0 5 1 9 33050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 33050100
+1 0 0 0 0 5 1 1 33050101
+1 0 0 0 0 5 1 2 33050102
+1 0 0 0 0 5 1 3 33050103
+1 0 0 0 0 5 1 4 33050104
+1 0 0 0 0 5 1 5 33050105
+1 0 0 0 0 5 1 6 33050106
+1 0 0 0 0 5 1 7 33050107
+1 0 0 0 0 5 1 8 33050108
+1 0 0 0 0 5 1 9 33050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_x.xl
new file mode 100644
index 000000000..a14db6a4b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_x.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 -1.35
+0 0 0 0 0 1 1 5 -1.05
+0 0 0 0 0 2 1 5 -0.75
+0 0 0 0 0 3 1 5 -0.45
+0 0 0 0 0 4 1 5 -0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 6 1 5 0.45
+0 0 0 0 0 7 1 5 0.75
+0 0 0 0 0 8 1 5 1.05
+0 0 0 0 0 9 1 5 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 -1.35
+1 0 0 0 0 1 1 5 -1.05
+1 0 0 0 0 2 1 5 -0.75
+1 0 0 0 0 3 1 5 -0.45
+1 0 0 0 0 4 1 5 -0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 6 1 5 0.45
+1 0 0 0 0 7 1 5 0.75
+1 0 0 0 0 8 1 5 1.05
+1 0 0 0 0 9 1 5 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_x.yl
new file mode 100644
index 000000000..592815c82
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_x.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 2 5 0.15
+0 0 0 0 0 5 3 5 0.15
+0 0 0 0 0 5 4 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.15
+0 0 0 0 0 5 7 5 0.15
+0 0 0 0 0 5 8 5 0.15
+0 0 0 0 0 5 9 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 5 2 5 0.15
+1 0 0 0 0 5 3 5 0.15
+1 0 0 0 0 5 4 5 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 6 5 0.15
+1 0 0 0 0 5 7 5 0.15
+1 0 0 0 0 5 8 5 0.15
+1 0 0 0 0 5 9 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_x.zl
new file mode 100644
index 000000000..c3d57ce1b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_x.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 0.15
+0 0 0 0 0 5 1 1 0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 5 1 3 0.15
+0 0 0 0 0 5 1 4 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 1 6 0.15
+0 0 0 0 0 5 1 7 0.15
+0 0 0 0 0 5 1 8 0.15
+0 0 0 0 0 5 1 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 0.15
+1 0 0 0 0 5 1 1 0.15
+1 0 0 0 0 5 1 2 0.15
+1 0 0 0 0 5 1 3 0.15
+1 0 0 0 0 5 1 4 0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 5 1 6 0.15
+1 0 0 0 0 5 1 7 0.15
+1 0 0 0 0 5 1 8 0.15
+1 0 0 0 0 5 1 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_y.xl
new file mode 100644
index 000000000..e07fa99ab
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_y.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 1 1 5 0.15
+0 0 0 0 0 2 1 5 0.15
+0 0 0 0 0 3 1 5 0.15
+0 0 0 0 0 4 1 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 6 1 5 0.15
+0 0 0 0 0 7 1 5 0.15
+0 0 0 0 0 8 1 5 0.15
+0 0 0 0 0 9 1 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 1 1 5 0.15
+1 0 0 0 0 2 1 5 0.15
+1 0 0 0 0 3 1 5 0.15
+1 0 0 0 0 4 1 5 0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 6 1 5 0.15
+1 0 0 0 0 7 1 5 0.15
+1 0 0 0 0 8 1 5 0.15
+1 0 0 0 0 9 1 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_y.yl
new file mode 100644
index 000000000..82d3bdaa6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_y.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 -0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 2 5 0.45
+0 0 0 0 0 5 3 5 0.75
+0 0 0 0 0 5 4 5 1.05
+0 0 0 0 0 5 5 5 1.35
+0 0 0 0 0 5 6 5 1.65
+0 0 0 0 0 5 7 5 1.95
+0 0 0 0 0 5 8 5 2.25
+0 0 0 0 0 5 9 5 2.55
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 -0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 5 2 5 0.45
+1 0 0 0 0 5 3 5 0.75
+1 0 0 0 0 5 4 5 1.05
+1 0 0 0 0 5 5 5 1.35
+1 0 0 0 0 5 6 5 1.65
+1 0 0 0 0 5 7 5 1.95
+1 0 0 0 0 5 8 5 2.25
+1 0 0 0 0 5 9 5 2.55
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_y.zl
new file mode 100644
index 000000000..5ad3531ba
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_y.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 0.15
+0 0 0 0 0 5 1 1 0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 5 1 3 0.15
+0 0 0 0 0 5 1 4 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 1 6 0.15
+0 0 0 0 0 5 1 7 0.15
+0 0 0 0 0 5 1 8 0.15
+0 0 0 0 0 5 1 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 0.15
+1 0 0 0 0 5 1 1 0.15
+1 0 0 0 0 5 1 2 0.15
+1 0 0 0 0 5 1 3 0.15
+1 0 0 0 0 5 1 4 0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 5 1 6 0.15
+1 0 0 0 0 5 1 7 0.15
+1 0 0 0 0 5 1 8 0.15
+1 0 0 0 0 5 1 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_z.xl
new file mode 100644
index 000000000..9718c560e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_z.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 0.15
+0 0 0 0 0 1 1 5 0.15
+0 0 0 0 0 2 1 5 0.15
+0 0 0 0 0 3 1 5 0.15
+0 0 0 0 0 4 1 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 6 1 5 0.15
+0 0 0 0 0 7 1 5 0.15
+0 0 0 0 0 8 1 5 0.15
+0 0 0 0 0 9 1 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 0.15
+1 0 0 0 0 1 1 5 0.15
+1 0 0 0 0 2 1 5 0.15
+1 0 0 0 0 3 1 5 0.15
+1 0 0 0 0 4 1 5 0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 6 1 5 0.15
+1 0 0 0 0 7 1 5 0.15
+1 0 0 0 0 8 1 5 0.15
+1 0 0 0 0 9 1 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_z.yl
new file mode 100644
index 000000000..0373176c5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_z.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 2 5 0.15
+0 0 0 0 0 5 3 5 0.15
+0 0 0 0 0 5 4 5 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 6 5 0.15
+0 0 0 0 0 5 7 5 0.15
+0 0 0 0 0 5 8 5 0.15
+0 0 0 0 0 5 9 5 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 5 2 5 0.15
+1 0 0 0 0 5 3 5 0.15
+1 0 0 0 0 5 4 5 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 6 5 0.15
+1 0 0 0 0 5 7 5 0.15
+1 0 0 0 0 5 8 5 0.15
+1 0 0 0 0 5 9 5 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_z.zl
new file mode 100644
index 000000000..e2b006826
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/cart3d_z.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 -1.35
+0 0 0 0 0 5 1 1 -1.05
+0 0 0 0 0 5 1 2 -0.75
+0 0 0 0 0 5 1 3 -0.45
+0 0 0 0 0 5 1 4 -0.15
+0 0 0 0 0 5 1 5 0.15
+0 0 0 0 0 5 1 6 0.45
+0 0 0 0 0 5 1 7 0.75
+0 0 0 0 0 5 1 8 1.05
+0 0 0 0 0 5 1 9 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 -1.35
+1 0 0 0 0 5 1 1 -1.05
+1 0 0 0 0 5 1 2 -0.75
+1 0 0 0 0 5 1 3 -0.45
+1 0 0 0 0 5 1 4 -0.15
+1 0 0 0 0 5 1 5 0.15
+1 0 0 0 0 5 1 6 0.45
+1 0 0 0 0 5 1 7 0.75
+1 0 0 0 0 5 1 8 1.05
+1 0 0 0 0 5 1 9 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fxx.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/fxx.xl
new file mode 100644
index 000000000..b571599e8
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fxx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx x (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 41000105
+0 0 0 0 0 1 1 5 41010105
+0 0 0 0 0 2 1 5 41020105
+0 0 0 0 0 3 1 5 41030105
+0 0 0 0 0 4 1 5 41040105
+0 0 0 0 0 5 1 5 41050105
+0 0 0 0 0 6 1 5 41060105
+0 0 0 0 0 7 1 5 41070105
+0 0 0 0 0 8 1 5 41080105
+0 0 0 0 0 9 1 5 41090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 41000105
+1 0 0 0 0 1 1 5 41010105
+1 0 0 0 0 2 1 5 41020105
+1 0 0 0 0 3 1 5 41030105
+1 0 0 0 0 4 1 5 41040105
+1 0 0 0 0 5 1 5 41050105
+1 0 0 0 0 6 1 5 41060105
+1 0 0 0 0 7 1 5 41070105
+1 0 0 0 0 8 1 5 41080105
+1 0 0 0 0 9 1 5 41090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fxx.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/fxx.yl
new file mode 100644
index 000000000..41f612072
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fxx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx y (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 41050005
+0 0 0 0 0 5 1 5 41050105
+0 0 0 0 0 5 2 5 41050205
+0 0 0 0 0 5 3 5 41050305
+0 0 0 0 0 5 4 5 41050405
+0 0 0 0 0 5 5 5 41050505
+0 0 0 0 0 5 6 5 41050605
+0 0 0 0 0 5 7 5 41050705
+0 0 0 0 0 5 8 5 41050805
+0 0 0 0 0 5 9 5 41050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 41050105
+1 0 0 0 0 5 1 5 41050105
+1 0 0 0 0 5 2 5 41050205
+1 0 0 0 0 5 3 5 41050305
+1 0 0 0 0 5 4 5 41050405
+1 0 0 0 0 5 5 5 41050505
+1 0 0 0 0 5 6 5 41050605
+1 0 0 0 0 5 7 5 41050705
+1 0 0 0 0 5 8 5 41050805
+1 0 0 0 0 5 9 5 41050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fxx.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/fxx.zl
new file mode 100644
index 000000000..e87fa465a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fxx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx z (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 41050100
+0 0 0 0 0 5 1 1 41050101
+0 0 0 0 0 5 1 2 41050102
+0 0 0 0 0 5 1 3 41050103
+0 0 0 0 0 5 1 4 41050104
+0 0 0 0 0 5 1 5 41050105
+0 0 0 0 0 5 1 6 41050106
+0 0 0 0 0 5 1 7 41050107
+0 0 0 0 0 5 1 8 41050108
+0 0 0 0 0 5 1 9 41050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 41050100
+1 0 0 0 0 5 1 1 41050101
+1 0 0 0 0 5 1 2 41050102
+1 0 0 0 0 5 1 3 41050103
+1 0 0 0 0 5 1 4 41050104
+1 0 0 0 0 5 1 5 41050105
+1 0 0 0 0 5 1 6 41050106
+1 0 0 0 0 5 1 7 41050107
+1 0 0 0 0 5 1 8 41050108
+1 0 0 0 0 5 1 9 41050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fxy.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/fxy.xl
new file mode 100644
index 000000000..684a57670
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fxy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy x (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 42000105
+0 0 0 0 0 1 1 5 42010105
+0 0 0 0 0 2 1 5 42020105
+0 0 0 0 0 3 1 5 42030105
+0 0 0 0 0 4 1 5 42040105
+0 0 0 0 0 5 1 5 42050105
+0 0 0 0 0 6 1 5 42060105
+0 0 0 0 0 7 1 5 42070105
+0 0 0 0 0 8 1 5 42080105
+0 0 0 0 0 9 1 5 42090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 42000105
+1 0 0 0 0 1 1 5 42010105
+1 0 0 0 0 2 1 5 42020105
+1 0 0 0 0 3 1 5 42030105
+1 0 0 0 0 4 1 5 42040105
+1 0 0 0 0 5 1 5 42050105
+1 0 0 0 0 6 1 5 42060105
+1 0 0 0 0 7 1 5 42070105
+1 0 0 0 0 8 1 5 42080105
+1 0 0 0 0 9 1 5 42090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fxy.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/fxy.yl
new file mode 100644
index 000000000..35d186b50
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fxy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy y (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 42050005
+0 0 0 0 0 5 1 5 42050105
+0 0 0 0 0 5 2 5 42050205
+0 0 0 0 0 5 3 5 42050305
+0 0 0 0 0 5 4 5 42050405
+0 0 0 0 0 5 5 5 42050505
+0 0 0 0 0 5 6 5 42050605
+0 0 0 0 0 5 7 5 42050705
+0 0 0 0 0 5 8 5 42050805
+0 0 0 0 0 5 9 5 42050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 -42050105
+1 0 0 0 0 5 1 5 42050105
+1 0 0 0 0 5 2 5 42050205
+1 0 0 0 0 5 3 5 42050305
+1 0 0 0 0 5 4 5 42050405
+1 0 0 0 0 5 5 5 42050505
+1 0 0 0 0 5 6 5 42050605
+1 0 0 0 0 5 7 5 42050705
+1 0 0 0 0 5 8 5 42050805
+1 0 0 0 0 5 9 5 42050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fxy.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/fxy.zl
new file mode 100644
index 000000000..dbc3268e3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fxy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy z (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 42050100
+0 0 0 0 0 5 1 1 42050101
+0 0 0 0 0 5 1 2 42050102
+0 0 0 0 0 5 1 3 42050103
+0 0 0 0 0 5 1 4 42050104
+0 0 0 0 0 5 1 5 42050105
+0 0 0 0 0 5 1 6 42050106
+0 0 0 0 0 5 1 7 42050107
+0 0 0 0 0 5 1 8 42050108
+0 0 0 0 0 5 1 9 42050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 42050100
+1 0 0 0 0 5 1 1 42050101
+1 0 0 0 0 5 1 2 42050102
+1 0 0 0 0 5 1 3 42050103
+1 0 0 0 0 5 1 4 42050104
+1 0 0 0 0 5 1 5 42050105
+1 0 0 0 0 5 1 6 42050106
+1 0 0 0 0 5 1 7 42050107
+1 0 0 0 0 5 1 8 42050108
+1 0 0 0 0 5 1 9 42050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fxz.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/fxz.xl
new file mode 100644
index 000000000..4e6e40ef5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fxz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz x (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 43000105
+0 0 0 0 0 1 1 5 43010105
+0 0 0 0 0 2 1 5 43020105
+0 0 0 0 0 3 1 5 43030105
+0 0 0 0 0 4 1 5 43040105
+0 0 0 0 0 5 1 5 43050105
+0 0 0 0 0 6 1 5 43060105
+0 0 0 0 0 7 1 5 43070105
+0 0 0 0 0 8 1 5 43080105
+0 0 0 0 0 9 1 5 43090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 43000105
+1 0 0 0 0 1 1 5 43010105
+1 0 0 0 0 2 1 5 43020105
+1 0 0 0 0 3 1 5 43030105
+1 0 0 0 0 4 1 5 43040105
+1 0 0 0 0 5 1 5 43050105
+1 0 0 0 0 6 1 5 43060105
+1 0 0 0 0 7 1 5 43070105
+1 0 0 0 0 8 1 5 43080105
+1 0 0 0 0 9 1 5 43090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fxz.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/fxz.yl
new file mode 100644
index 000000000..e38cd15d5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fxz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz y (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 43050005
+0 0 0 0 0 5 1 5 43050105
+0 0 0 0 0 5 2 5 43050205
+0 0 0 0 0 5 3 5 43050305
+0 0 0 0 0 5 4 5 43050405
+0 0 0 0 0 5 5 5 43050505
+0 0 0 0 0 5 6 5 43050605
+0 0 0 0 0 5 7 5 43050705
+0 0 0 0 0 5 8 5 43050805
+0 0 0 0 0 5 9 5 43050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 43050105
+1 0 0 0 0 5 1 5 43050105
+1 0 0 0 0 5 2 5 43050205
+1 0 0 0 0 5 3 5 43050305
+1 0 0 0 0 5 4 5 43050405
+1 0 0 0 0 5 5 5 43050505
+1 0 0 0 0 5 6 5 43050605
+1 0 0 0 0 5 7 5 43050705
+1 0 0 0 0 5 8 5 43050805
+1 0 0 0 0 5 9 5 43050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fxz.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/fxz.zl
new file mode 100644
index 000000000..849878f7e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fxz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz z (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 43050100
+0 0 0 0 0 5 1 1 43050101
+0 0 0 0 0 5 1 2 43050102
+0 0 0 0 0 5 1 3 43050103
+0 0 0 0 0 5 1 4 43050104
+0 0 0 0 0 5 1 5 43050105
+0 0 0 0 0 5 1 6 43050106
+0 0 0 0 0 5 1 7 43050107
+0 0 0 0 0 5 1 8 43050108
+0 0 0 0 0 5 1 9 43050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 43050100
+1 0 0 0 0 5 1 1 43050101
+1 0 0 0 0 5 1 2 43050102
+1 0 0 0 0 5 1 3 43050103
+1 0 0 0 0 5 1 4 43050104
+1 0 0 0 0 5 1 5 43050105
+1 0 0 0 0 5 1 6 43050106
+1 0 0 0 0 5 1 7 43050107
+1 0 0 0 0 5 1 8 43050108
+1 0 0 0 0 5 1 9 43050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fyx.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/fyx.xl
new file mode 100644
index 000000000..b5d966b83
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fyx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx x (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 44000105
+0 0 0 0 0 1 1 5 44010105
+0 0 0 0 0 2 1 5 44020105
+0 0 0 0 0 3 1 5 44030105
+0 0 0 0 0 4 1 5 44040105
+0 0 0 0 0 5 1 5 44050105
+0 0 0 0 0 6 1 5 44060105
+0 0 0 0 0 7 1 5 44070105
+0 0 0 0 0 8 1 5 44080105
+0 0 0 0 0 9 1 5 44090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 44000105
+1 0 0 0 0 1 1 5 44010105
+1 0 0 0 0 2 1 5 44020105
+1 0 0 0 0 3 1 5 44030105
+1 0 0 0 0 4 1 5 44040105
+1 0 0 0 0 5 1 5 44050105
+1 0 0 0 0 6 1 5 44060105
+1 0 0 0 0 7 1 5 44070105
+1 0 0 0 0 8 1 5 44080105
+1 0 0 0 0 9 1 5 44090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fyx.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/fyx.yl
new file mode 100644
index 000000000..0528fc92e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fyx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx y (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 44050005
+0 0 0 0 0 5 1 5 44050105
+0 0 0 0 0 5 2 5 44050205
+0 0 0 0 0 5 3 5 44050305
+0 0 0 0 0 5 4 5 44050405
+0 0 0 0 0 5 5 5 44050505
+0 0 0 0 0 5 6 5 44050605
+0 0 0 0 0 5 7 5 44050705
+0 0 0 0 0 5 8 5 44050805
+0 0 0 0 0 5 9 5 44050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 -44050105
+1 0 0 0 0 5 1 5 44050105
+1 0 0 0 0 5 2 5 44050205
+1 0 0 0 0 5 3 5 44050305
+1 0 0 0 0 5 4 5 44050405
+1 0 0 0 0 5 5 5 44050505
+1 0 0 0 0 5 6 5 44050605
+1 0 0 0 0 5 7 5 44050705
+1 0 0 0 0 5 8 5 44050805
+1 0 0 0 0 5 9 5 44050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fyx.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/fyx.zl
new file mode 100644
index 000000000..01e0f7bd2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fyx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx z (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 44050100
+0 0 0 0 0 5 1 1 44050101
+0 0 0 0 0 5 1 2 44050102
+0 0 0 0 0 5 1 3 44050103
+0 0 0 0 0 5 1 4 44050104
+0 0 0 0 0 5 1 5 44050105
+0 0 0 0 0 5 1 6 44050106
+0 0 0 0 0 5 1 7 44050107
+0 0 0 0 0 5 1 8 44050108
+0 0 0 0 0 5 1 9 44050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 44050100
+1 0 0 0 0 5 1 1 44050101
+1 0 0 0 0 5 1 2 44050102
+1 0 0 0 0 5 1 3 44050103
+1 0 0 0 0 5 1 4 44050104
+1 0 0 0 0 5 1 5 44050105
+1 0 0 0 0 5 1 6 44050106
+1 0 0 0 0 5 1 7 44050107
+1 0 0 0 0 5 1 8 44050108
+1 0 0 0 0 5 1 9 44050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fyy.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/fyy.xl
new file mode 100644
index 000000000..2d2270ab7
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy x (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 45000105
+0 0 0 0 0 1 1 5 45010105
+0 0 0 0 0 2 1 5 45020105
+0 0 0 0 0 3 1 5 45030105
+0 0 0 0 0 4 1 5 45040105
+0 0 0 0 0 5 1 5 45050105
+0 0 0 0 0 6 1 5 45060105
+0 0 0 0 0 7 1 5 45070105
+0 0 0 0 0 8 1 5 45080105
+0 0 0 0 0 9 1 5 45090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 45000105
+1 0 0 0 0 1 1 5 45010105
+1 0 0 0 0 2 1 5 45020105
+1 0 0 0 0 3 1 5 45030105
+1 0 0 0 0 4 1 5 45040105
+1 0 0 0 0 5 1 5 45050105
+1 0 0 0 0 6 1 5 45060105
+1 0 0 0 0 7 1 5 45070105
+1 0 0 0 0 8 1 5 45080105
+1 0 0 0 0 9 1 5 45090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fyy.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/fyy.yl
new file mode 100644
index 000000000..97b6b9a93
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy y (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 45050005
+0 0 0 0 0 5 1 5 45050105
+0 0 0 0 0 5 2 5 45050205
+0 0 0 0 0 5 3 5 45050305
+0 0 0 0 0 5 4 5 45050405
+0 0 0 0 0 5 5 5 45050505
+0 0 0 0 0 5 6 5 45050605
+0 0 0 0 0 5 7 5 45050705
+0 0 0 0 0 5 8 5 45050805
+0 0 0 0 0 5 9 5 45050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 45050105
+1 0 0 0 0 5 1 5 45050105
+1 0 0 0 0 5 2 5 45050205
+1 0 0 0 0 5 3 5 45050305
+1 0 0 0 0 5 4 5 45050405
+1 0 0 0 0 5 5 5 45050505
+1 0 0 0 0 5 6 5 45050605
+1 0 0 0 0 5 7 5 45050705
+1 0 0 0 0 5 8 5 45050805
+1 0 0 0 0 5 9 5 45050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fyy.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/fyy.zl
new file mode 100644
index 000000000..651d38b29
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy z (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 45050100
+0 0 0 0 0 5 1 1 45050101
+0 0 0 0 0 5 1 2 45050102
+0 0 0 0 0 5 1 3 45050103
+0 0 0 0 0 5 1 4 45050104
+0 0 0 0 0 5 1 5 45050105
+0 0 0 0 0 5 1 6 45050106
+0 0 0 0 0 5 1 7 45050107
+0 0 0 0 0 5 1 8 45050108
+0 0 0 0 0 5 1 9 45050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 45050100
+1 0 0 0 0 5 1 1 45050101
+1 0 0 0 0 5 1 2 45050102
+1 0 0 0 0 5 1 3 45050103
+1 0 0 0 0 5 1 4 45050104
+1 0 0 0 0 5 1 5 45050105
+1 0 0 0 0 5 1 6 45050106
+1 0 0 0 0 5 1 7 45050107
+1 0 0 0 0 5 1 8 45050108
+1 0 0 0 0 5 1 9 45050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fyz.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/fyz.xl
new file mode 100644
index 000000000..1511cbd22
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz x (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 46000105
+0 0 0 0 0 1 1 5 46010105
+0 0 0 0 0 2 1 5 46020105
+0 0 0 0 0 3 1 5 46030105
+0 0 0 0 0 4 1 5 46040105
+0 0 0 0 0 5 1 5 46050105
+0 0 0 0 0 6 1 5 46060105
+0 0 0 0 0 7 1 5 46070105
+0 0 0 0 0 8 1 5 46080105
+0 0 0 0 0 9 1 5 46090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 46000105
+1 0 0 0 0 1 1 5 46010105
+1 0 0 0 0 2 1 5 46020105
+1 0 0 0 0 3 1 5 46030105
+1 0 0 0 0 4 1 5 46040105
+1 0 0 0 0 5 1 5 46050105
+1 0 0 0 0 6 1 5 46060105
+1 0 0 0 0 7 1 5 46070105
+1 0 0 0 0 8 1 5 46080105
+1 0 0 0 0 9 1 5 46090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fyz.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/fyz.yl
new file mode 100644
index 000000000..3f903e75a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz y (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 46050005
+0 0 0 0 0 5 1 5 46050105
+0 0 0 0 0 5 2 5 46050205
+0 0 0 0 0 5 3 5 46050305
+0 0 0 0 0 5 4 5 46050405
+0 0 0 0 0 5 5 5 46050505
+0 0 0 0 0 5 6 5 46050605
+0 0 0 0 0 5 7 5 46050705
+0 0 0 0 0 5 8 5 46050805
+0 0 0 0 0 5 9 5 46050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 -46050105
+1 0 0 0 0 5 1 5 46050105
+1 0 0 0 0 5 2 5 46050205
+1 0 0 0 0 5 3 5 46050305
+1 0 0 0 0 5 4 5 46050405
+1 0 0 0 0 5 5 5 46050505
+1 0 0 0 0 5 6 5 46050605
+1 0 0 0 0 5 7 5 46050705
+1 0 0 0 0 5 8 5 46050805
+1 0 0 0 0 5 9 5 46050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fyz.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/fyz.zl
new file mode 100644
index 000000000..9be46f8b3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz z (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 46050100
+0 0 0 0 0 5 1 1 46050101
+0 0 0 0 0 5 1 2 46050102
+0 0 0 0 0 5 1 3 46050103
+0 0 0 0 0 5 1 4 46050104
+0 0 0 0 0 5 1 5 46050105
+0 0 0 0 0 5 1 6 46050106
+0 0 0 0 0 5 1 7 46050107
+0 0 0 0 0 5 1 8 46050108
+0 0 0 0 0 5 1 9 46050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 46050100
+1 0 0 0 0 5 1 1 46050101
+1 0 0 0 0 5 1 2 46050102
+1 0 0 0 0 5 1 3 46050103
+1 0 0 0 0 5 1 4 46050104
+1 0 0 0 0 5 1 5 46050105
+1 0 0 0 0 5 1 6 46050106
+1 0 0 0 0 5 1 7 46050107
+1 0 0 0 0 5 1 8 46050108
+1 0 0 0 0 5 1 9 46050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fzx.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/fzx.xl
new file mode 100644
index 000000000..7d5236a48
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fzx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx x (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 47000105
+0 0 0 0 0 1 1 5 47010105
+0 0 0 0 0 2 1 5 47020105
+0 0 0 0 0 3 1 5 47030105
+0 0 0 0 0 4 1 5 47040105
+0 0 0 0 0 5 1 5 47050105
+0 0 0 0 0 6 1 5 47060105
+0 0 0 0 0 7 1 5 47070105
+0 0 0 0 0 8 1 5 47080105
+0 0 0 0 0 9 1 5 47090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 47000105
+1 0 0 0 0 1 1 5 47010105
+1 0 0 0 0 2 1 5 47020105
+1 0 0 0 0 3 1 5 47030105
+1 0 0 0 0 4 1 5 47040105
+1 0 0 0 0 5 1 5 47050105
+1 0 0 0 0 6 1 5 47060105
+1 0 0 0 0 7 1 5 47070105
+1 0 0 0 0 8 1 5 47080105
+1 0 0 0 0 9 1 5 47090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fzx.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/fzx.yl
new file mode 100644
index 000000000..9aa6f9177
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fzx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx y (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 47050005
+0 0 0 0 0 5 1 5 47050105
+0 0 0 0 0 5 2 5 47050205
+0 0 0 0 0 5 3 5 47050305
+0 0 0 0 0 5 4 5 47050405
+0 0 0 0 0 5 5 5 47050505
+0 0 0 0 0 5 6 5 47050605
+0 0 0 0 0 5 7 5 47050705
+0 0 0 0 0 5 8 5 47050805
+0 0 0 0 0 5 9 5 47050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 47050105
+1 0 0 0 0 5 1 5 47050105
+1 0 0 0 0 5 2 5 47050205
+1 0 0 0 0 5 3 5 47050305
+1 0 0 0 0 5 4 5 47050405
+1 0 0 0 0 5 5 5 47050505
+1 0 0 0 0 5 6 5 47050605
+1 0 0 0 0 5 7 5 47050705
+1 0 0 0 0 5 8 5 47050805
+1 0 0 0 0 5 9 5 47050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fzx.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/fzx.zl
new file mode 100644
index 000000000..d8552c662
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fzx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx z (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 47050100
+0 0 0 0 0 5 1 1 47050101
+0 0 0 0 0 5 1 2 47050102
+0 0 0 0 0 5 1 3 47050103
+0 0 0 0 0 5 1 4 47050104
+0 0 0 0 0 5 1 5 47050105
+0 0 0 0 0 5 1 6 47050106
+0 0 0 0 0 5 1 7 47050107
+0 0 0 0 0 5 1 8 47050108
+0 0 0 0 0 5 1 9 47050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 47050100
+1 0 0 0 0 5 1 1 47050101
+1 0 0 0 0 5 1 2 47050102
+1 0 0 0 0 5 1 3 47050103
+1 0 0 0 0 5 1 4 47050104
+1 0 0 0 0 5 1 5 47050105
+1 0 0 0 0 5 1 6 47050106
+1 0 0 0 0 5 1 7 47050107
+1 0 0 0 0 5 1 8 47050108
+1 0 0 0 0 5 1 9 47050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fzy.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/fzy.xl
new file mode 100644
index 000000000..ea27ee9fa
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fzy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy x (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 48000105
+0 0 0 0 0 1 1 5 48010105
+0 0 0 0 0 2 1 5 48020105
+0 0 0 0 0 3 1 5 48030105
+0 0 0 0 0 4 1 5 48040105
+0 0 0 0 0 5 1 5 48050105
+0 0 0 0 0 6 1 5 48060105
+0 0 0 0 0 7 1 5 48070105
+0 0 0 0 0 8 1 5 48080105
+0 0 0 0 0 9 1 5 48090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 48000105
+1 0 0 0 0 1 1 5 48010105
+1 0 0 0 0 2 1 5 48020105
+1 0 0 0 0 3 1 5 48030105
+1 0 0 0 0 4 1 5 48040105
+1 0 0 0 0 5 1 5 48050105
+1 0 0 0 0 6 1 5 48060105
+1 0 0 0 0 7 1 5 48070105
+1 0 0 0 0 8 1 5 48080105
+1 0 0 0 0 9 1 5 48090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fzy.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/fzy.yl
new file mode 100644
index 000000000..8aa6dcd52
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fzy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy y (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 48050005
+0 0 0 0 0 5 1 5 48050105
+0 0 0 0 0 5 2 5 48050205
+0 0 0 0 0 5 3 5 48050305
+0 0 0 0 0 5 4 5 48050405
+0 0 0 0 0 5 5 5 48050505
+0 0 0 0 0 5 6 5 48050605
+0 0 0 0 0 5 7 5 48050705
+0 0 0 0 0 5 8 5 48050805
+0 0 0 0 0 5 9 5 48050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 -48050105
+1 0 0 0 0 5 1 5 48050105
+1 0 0 0 0 5 2 5 48050205
+1 0 0 0 0 5 3 5 48050305
+1 0 0 0 0 5 4 5 48050405
+1 0 0 0 0 5 5 5 48050505
+1 0 0 0 0 5 6 5 48050605
+1 0 0 0 0 5 7 5 48050705
+1 0 0 0 0 5 8 5 48050805
+1 0 0 0 0 5 9 5 48050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fzy.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/fzy.zl
new file mode 100644
index 000000000..b7d28d43f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fzy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy z (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 48050100
+0 0 0 0 0 5 1 1 48050101
+0 0 0 0 0 5 1 2 48050102
+0 0 0 0 0 5 1 3 48050103
+0 0 0 0 0 5 1 4 48050104
+0 0 0 0 0 5 1 5 48050105
+0 0 0 0 0 5 1 6 48050106
+0 0 0 0 0 5 1 7 48050107
+0 0 0 0 0 5 1 8 48050108
+0 0 0 0 0 5 1 9 48050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 48050100
+1 0 0 0 0 5 1 1 48050101
+1 0 0 0 0 5 1 2 48050102
+1 0 0 0 0 5 1 3 48050103
+1 0 0 0 0 5 1 4 48050104
+1 0 0 0 0 5 1 5 48050105
+1 0 0 0 0 5 1 6 48050106
+1 0 0 0 0 5 1 7 48050107
+1 0 0 0 0 5 1 8 48050108
+1 0 0 0 0 5 1 9 48050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fzz.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/fzz.xl
new file mode 100644
index 000000000..4a3af627e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz x (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 49000105
+0 0 0 0 0 1 1 5 49010105
+0 0 0 0 0 2 1 5 49020105
+0 0 0 0 0 3 1 5 49030105
+0 0 0 0 0 4 1 5 49040105
+0 0 0 0 0 5 1 5 49050105
+0 0 0 0 0 6 1 5 49060105
+0 0 0 0 0 7 1 5 49070105
+0 0 0 0 0 8 1 5 49080105
+0 0 0 0 0 9 1 5 49090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 49000105
+1 0 0 0 0 1 1 5 49010105
+1 0 0 0 0 2 1 5 49020105
+1 0 0 0 0 3 1 5 49030105
+1 0 0 0 0 4 1 5 49040105
+1 0 0 0 0 5 1 5 49050105
+1 0 0 0 0 6 1 5 49060105
+1 0 0 0 0 7 1 5 49070105
+1 0 0 0 0 8 1 5 49080105
+1 0 0 0 0 9 1 5 49090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fzz.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/fzz.yl
new file mode 100644
index 000000000..0bdf6f110
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz y (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 49050005
+0 0 0 0 0 5 1 5 49050105
+0 0 0 0 0 5 2 5 49050205
+0 0 0 0 0 5 3 5 49050305
+0 0 0 0 0 5 4 5 49050405
+0 0 0 0 0 5 5 5 49050505
+0 0 0 0 0 5 6 5 49050605
+0 0 0 0 0 5 7 5 49050705
+0 0 0 0 0 5 8 5 49050805
+0 0 0 0 0 5 9 5 49050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 49050105
+1 0 0 0 0 5 1 5 49050105
+1 0 0 0 0 5 2 5 49050205
+1 0 0 0 0 5 3 5 49050305
+1 0 0 0 0 5 4 5 49050405
+1 0 0 0 0 5 5 5 49050505
+1 0 0 0 0 5 6 5 49050605
+1 0 0 0 0 5 7 5 49050705
+1 0 0 0 0 5 8 5 49050805
+1 0 0 0 0 5 9 5 49050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/fzz.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/fzz.zl
new file mode 100644
index 000000000..a338649d3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/fzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz z (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 49050100
+0 0 0 0 0 5 1 1 49050101
+0 0 0 0 0 5 1 2 49050102
+0 0 0 0 0 5 1 3 49050103
+0 0 0 0 0 5 1 4 49050104
+0 0 0 0 0 5 1 5 49050105
+0 0 0 0 0 5 1 6 49050106
+0 0 0 0 0 5 1 7 49050107
+0 0 0 0 0 5 1 8 49050108
+0 0 0 0 0 5 1 9 49050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 49050100
+1 0 0 0 0 5 1 1 49050101
+1 0 0 0 0 5 1 2 49050102
+1 0 0 0 0 5 1 3 49050103
+1 0 0 0 0 5 1 4 49050104
+1 0 0 0 0 5 1 5 49050105
+1 0 0 0 0 5 1 6 49050106
+1 0 0 0 0 5 1 7 49050107
+1 0 0 0 0 5 1 8 49050108
+1 0 0 0 0 5 1 9 49050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/s.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/s.xl
new file mode 100644
index 000000000..fdf407fcd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/s.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::s x (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 1000105
+0 0 0 0 0 1 1 5 1010105
+0 0 0 0 0 2 1 5 1020105
+0 0 0 0 0 3 1 5 1030105
+0 0 0 0 0 4 1 5 1040105
+0 0 0 0 0 5 1 5 1050105
+0 0 0 0 0 6 1 5 1060105
+0 0 0 0 0 7 1 5 1070105
+0 0 0 0 0 8 1 5 1080105
+0 0 0 0 0 9 1 5 1090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 1000105
+1 0 0 0 0 1 1 5 1010105
+1 0 0 0 0 2 1 5 1020105
+1 0 0 0 0 3 1 5 1030105
+1 0 0 0 0 4 1 5 1040105
+1 0 0 0 0 5 1 5 1050105
+1 0 0 0 0 6 1 5 1060105
+1 0 0 0 0 7 1 5 1070105
+1 0 0 0 0 8 1 5 1080105
+1 0 0 0 0 9 1 5 1090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/s.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/s.yl
new file mode 100644
index 000000000..487134344
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/s.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::s y (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 1050005
+0 0 0 0 0 5 1 5 1050105
+0 0 0 0 0 5 2 5 1050205
+0 0 0 0 0 5 3 5 1050305
+0 0 0 0 0 5 4 5 1050405
+0 0 0 0 0 5 5 5 1050505
+0 0 0 0 0 5 6 5 1050605
+0 0 0 0 0 5 7 5 1050705
+0 0 0 0 0 5 8 5 1050805
+0 0 0 0 0 5 9 5 1050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 1050105
+1 0 0 0 0 5 1 5 1050105
+1 0 0 0 0 5 2 5 1050205
+1 0 0 0 0 5 3 5 1050305
+1 0 0 0 0 5 4 5 1050405
+1 0 0 0 0 5 5 5 1050505
+1 0 0 0 0 5 6 5 1050605
+1 0 0 0 0 5 7 5 1050705
+1 0 0 0 0 5 8 5 1050805
+1 0 0 0 0 5 9 5 1050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/s.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/s.zl
new file mode 100644
index 000000000..de98dc5c6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/s.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::s z (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 1050100
+0 0 0 0 0 5 1 1 1050101
+0 0 0 0 0 5 1 2 1050102
+0 0 0 0 0 5 1 3 1050103
+0 0 0 0 0 5 1 4 1050104
+0 0 0 0 0 5 1 5 1050105
+0 0 0 0 0 5 1 6 1050106
+0 0 0 0 0 5 1 7 1050107
+0 0 0 0 0 5 1 8 1050108
+0 0 0 0 0 5 1 9 1050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 1050100
+1 0 0 0 0 5 1 1 1050101
+1 0 0 0 0 5 1 2 1050102
+1 0 0 0 0 5 1 3 1050103
+1 0 0 0 0 5 1 4 1050104
+1 0 0 0 0 5 1 5 1050105
+1 0 0 0 0 5 1 6 1050106
+1 0 0 0 0 5 1 7 1050107
+1 0 0 0 0 5 1 8 1050108
+1 0 0 0 0 5 1 9 1050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/spher3d_r.xl
new file mode 100644
index 000000000..2a1ce0755
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/spher3d_r.xl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 1.36656503687164
+0 0 0 0 0 1 1 5 1.07121426428143
+0 0 0 0 0 2 1 5 0.779422863405995
+0 0 0 0 0 3 1 5 0.49749371855331
+0 0 0 0 0 4 1 5 0.259807621135332
+0 0 0 0 0 5 1 5 0.259807621135332
+0 0 0 0 0 6 1 5 0.49749371855331
+0 0 0 0 0 7 1 5 0.779422863405995
+0 0 0 0 0 8 1 5 1.07121426428143
+0 0 0 0 0 9 1 5 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 1.36656503687164
+1 0 0 0 0 1 1 5 1.07121426428143
+1 0 0 0 0 2 1 5 0.779422863405995
+1 0 0 0 0 3 1 5 0.49749371855331
+1 0 0 0 0 4 1 5 0.259807621135332
+1 0 0 0 0 5 1 5 0.259807621135332
+1 0 0 0 0 6 1 5 0.49749371855331
+1 0 0 0 0 7 1 5 0.779422863405995
+1 0 0 0 0 8 1 5 1.07121426428143
+1 0 0 0 0 9 1 5 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/spher3d_r.yl
new file mode 100644
index 000000000..b51cbc42d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/spher3d_r.yl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 0.259807621135332
+0 0 0 0 0 5 1 5 0.259807621135332
+0 0 0 0 0 5 2 5 0.49749371855331
+0 0 0 0 0 5 3 5 0.779422863405995
+0 0 0 0 0 5 4 5 1.07121426428143
+0 0 0 0 0 5 5 5 1.36656503687164
+0 0 0 0 0 5 6 5 1.66358047596141
+0 0 0 0 0 5 7 5 1.9615045245933
+0 0 0 0 0 5 8 5 2.2599778759979
+0 0 0 0 0 5 9 5 2.5588083163848
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 0.259807621135332
+1 0 0 0 0 5 1 5 0.259807621135332
+1 0 0 0 0 5 2 5 0.49749371855331
+1 0 0 0 0 5 3 5 0.779422863405995
+1 0 0 0 0 5 4 5 1.07121426428143
+1 0 0 0 0 5 5 5 1.36656503687164
+1 0 0 0 0 5 6 5 1.66358047596141
+1 0 0 0 0 5 7 5 1.9615045245933
+1 0 0 0 0 5 8 5 2.2599778759979
+1 0 0 0 0 5 9 5 2.5588083163848
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/spher3d_r.zl
new file mode 100644
index 000000000..63de1180d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/spher3d_r.zl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 1.36656503687164
+0 0 0 0 0 5 1 1 1.07121426428143
+0 0 0 0 0 5 1 2 0.779422863405995
+0 0 0 0 0 5 1 3 0.49749371855331
+0 0 0 0 0 5 1 4 0.259807621135332
+0 0 0 0 0 5 1 5 0.259807621135332
+0 0 0 0 0 5 1 6 0.49749371855331
+0 0 0 0 0 5 1 7 0.779422863405995
+0 0 0 0 0 5 1 8 1.07121426428143
+0 0 0 0 0 5 1 9 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 1.36656503687164
+1 0 0 0 0 5 1 1 1.07121426428143
+1 0 0 0 0 5 1 2 0.779422863405995
+1 0 0 0 0 5 1 3 0.49749371855331
+1 0 0 0 0 5 1 4 0.259807621135332
+1 0 0 0 0 5 1 5 0.259807621135332
+1 0 0 0 0 5 1 6 0.49749371855331
+1 0 0 0 0 5 1 7 0.779422863405995
+1 0 0 0 0 5 1 8 1.07121426428143
+1 0 0 0 0 5 1 9 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/txx.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/txx.xl
new file mode 100644
index 000000000..b285daee6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/txx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx x (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 21000105
+0 0 0 0 0 1 1 5 21010105
+0 0 0 0 0 2 1 5 21020105
+0 0 0 0 0 3 1 5 21030105
+0 0 0 0 0 4 1 5 21040105
+0 0 0 0 0 5 1 5 21050105
+0 0 0 0 0 6 1 5 21060105
+0 0 0 0 0 7 1 5 21070105
+0 0 0 0 0 8 1 5 21080105
+0 0 0 0 0 9 1 5 21090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 21000105
+1 0 0 0 0 1 1 5 21010105
+1 0 0 0 0 2 1 5 21020105
+1 0 0 0 0 3 1 5 21030105
+1 0 0 0 0 4 1 5 21040105
+1 0 0 0 0 5 1 5 21050105
+1 0 0 0 0 6 1 5 21060105
+1 0 0 0 0 7 1 5 21070105
+1 0 0 0 0 8 1 5 21080105
+1 0 0 0 0 9 1 5 21090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/txx.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/txx.yl
new file mode 100644
index 000000000..a8923988c
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/txx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx y (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 21050005
+0 0 0 0 0 5 1 5 21050105
+0 0 0 0 0 5 2 5 21050205
+0 0 0 0 0 5 3 5 21050305
+0 0 0 0 0 5 4 5 21050405
+0 0 0 0 0 5 5 5 21050505
+0 0 0 0 0 5 6 5 21050605
+0 0 0 0 0 5 7 5 21050705
+0 0 0 0 0 5 8 5 21050805
+0 0 0 0 0 5 9 5 21050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 21050105
+1 0 0 0 0 5 1 5 21050105
+1 0 0 0 0 5 2 5 21050205
+1 0 0 0 0 5 3 5 21050305
+1 0 0 0 0 5 4 5 21050405
+1 0 0 0 0 5 5 5 21050505
+1 0 0 0 0 5 6 5 21050605
+1 0 0 0 0 5 7 5 21050705
+1 0 0 0 0 5 8 5 21050805
+1 0 0 0 0 5 9 5 21050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/txx.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/txx.zl
new file mode 100644
index 000000000..ca123edd0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/txx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx z (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 21050100
+0 0 0 0 0 5 1 1 21050101
+0 0 0 0 0 5 1 2 21050102
+0 0 0 0 0 5 1 3 21050103
+0 0 0 0 0 5 1 4 21050104
+0 0 0 0 0 5 1 5 21050105
+0 0 0 0 0 5 1 6 21050106
+0 0 0 0 0 5 1 7 21050107
+0 0 0 0 0 5 1 8 21050108
+0 0 0 0 0 5 1 9 21050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 21050100
+1 0 0 0 0 5 1 1 21050101
+1 0 0 0 0 5 1 2 21050102
+1 0 0 0 0 5 1 3 21050103
+1 0 0 0 0 5 1 4 21050104
+1 0 0 0 0 5 1 5 21050105
+1 0 0 0 0 5 1 6 21050106
+1 0 0 0 0 5 1 7 21050107
+1 0 0 0 0 5 1 8 21050108
+1 0 0 0 0 5 1 9 21050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/txy.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/txy.xl
new file mode 100644
index 000000000..0c86c4ec1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/txy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy x (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 22000105
+0 0 0 0 0 1 1 5 22010105
+0 0 0 0 0 2 1 5 22020105
+0 0 0 0 0 3 1 5 22030105
+0 0 0 0 0 4 1 5 22040105
+0 0 0 0 0 5 1 5 22050105
+0 0 0 0 0 6 1 5 22060105
+0 0 0 0 0 7 1 5 22070105
+0 0 0 0 0 8 1 5 22080105
+0 0 0 0 0 9 1 5 22090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 22000105
+1 0 0 0 0 1 1 5 22010105
+1 0 0 0 0 2 1 5 22020105
+1 0 0 0 0 3 1 5 22030105
+1 0 0 0 0 4 1 5 22040105
+1 0 0 0 0 5 1 5 22050105
+1 0 0 0 0 6 1 5 22060105
+1 0 0 0 0 7 1 5 22070105
+1 0 0 0 0 8 1 5 22080105
+1 0 0 0 0 9 1 5 22090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/txy.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/txy.yl
new file mode 100644
index 000000000..bf7bc2966
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/txy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy y (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 22050005
+0 0 0 0 0 5 1 5 22050105
+0 0 0 0 0 5 2 5 22050205
+0 0 0 0 0 5 3 5 22050305
+0 0 0 0 0 5 4 5 22050405
+0 0 0 0 0 5 5 5 22050505
+0 0 0 0 0 5 6 5 22050605
+0 0 0 0 0 5 7 5 22050705
+0 0 0 0 0 5 8 5 22050805
+0 0 0 0 0 5 9 5 22050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 -22050105
+1 0 0 0 0 5 1 5 22050105
+1 0 0 0 0 5 2 5 22050205
+1 0 0 0 0 5 3 5 22050305
+1 0 0 0 0 5 4 5 22050405
+1 0 0 0 0 5 5 5 22050505
+1 0 0 0 0 5 6 5 22050605
+1 0 0 0 0 5 7 5 22050705
+1 0 0 0 0 5 8 5 22050805
+1 0 0 0 0 5 9 5 22050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/txy.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/txy.zl
new file mode 100644
index 000000000..bb5aa28ee
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/txy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy z (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 22050100
+0 0 0 0 0 5 1 1 22050101
+0 0 0 0 0 5 1 2 22050102
+0 0 0 0 0 5 1 3 22050103
+0 0 0 0 0 5 1 4 22050104
+0 0 0 0 0 5 1 5 22050105
+0 0 0 0 0 5 1 6 22050106
+0 0 0 0 0 5 1 7 22050107
+0 0 0 0 0 5 1 8 22050108
+0 0 0 0 0 5 1 9 22050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 22050100
+1 0 0 0 0 5 1 1 22050101
+1 0 0 0 0 5 1 2 22050102
+1 0 0 0 0 5 1 3 22050103
+1 0 0 0 0 5 1 4 22050104
+1 0 0 0 0 5 1 5 22050105
+1 0 0 0 0 5 1 6 22050106
+1 0 0 0 0 5 1 7 22050107
+1 0 0 0 0 5 1 8 22050108
+1 0 0 0 0 5 1 9 22050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/txz.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/txz.xl
new file mode 100644
index 000000000..faacecdad
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/txz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz x (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 23000105
+0 0 0 0 0 1 1 5 23010105
+0 0 0 0 0 2 1 5 23020105
+0 0 0 0 0 3 1 5 23030105
+0 0 0 0 0 4 1 5 23040105
+0 0 0 0 0 5 1 5 23050105
+0 0 0 0 0 6 1 5 23060105
+0 0 0 0 0 7 1 5 23070105
+0 0 0 0 0 8 1 5 23080105
+0 0 0 0 0 9 1 5 23090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 23000105
+1 0 0 0 0 1 1 5 23010105
+1 0 0 0 0 2 1 5 23020105
+1 0 0 0 0 3 1 5 23030105
+1 0 0 0 0 4 1 5 23040105
+1 0 0 0 0 5 1 5 23050105
+1 0 0 0 0 6 1 5 23060105
+1 0 0 0 0 7 1 5 23070105
+1 0 0 0 0 8 1 5 23080105
+1 0 0 0 0 9 1 5 23090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/txz.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/txz.yl
new file mode 100644
index 000000000..faf58ca85
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/txz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz y (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 23050005
+0 0 0 0 0 5 1 5 23050105
+0 0 0 0 0 5 2 5 23050205
+0 0 0 0 0 5 3 5 23050305
+0 0 0 0 0 5 4 5 23050405
+0 0 0 0 0 5 5 5 23050505
+0 0 0 0 0 5 6 5 23050605
+0 0 0 0 0 5 7 5 23050705
+0 0 0 0 0 5 8 5 23050805
+0 0 0 0 0 5 9 5 23050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 23050105
+1 0 0 0 0 5 1 5 23050105
+1 0 0 0 0 5 2 5 23050205
+1 0 0 0 0 5 3 5 23050305
+1 0 0 0 0 5 4 5 23050405
+1 0 0 0 0 5 5 5 23050505
+1 0 0 0 0 5 6 5 23050605
+1 0 0 0 0 5 7 5 23050705
+1 0 0 0 0 5 8 5 23050805
+1 0 0 0 0 5 9 5 23050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/txz.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/txz.zl
new file mode 100644
index 000000000..765d4f62e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/txz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz z (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 23050100
+0 0 0 0 0 5 1 1 23050101
+0 0 0 0 0 5 1 2 23050102
+0 0 0 0 0 5 1 3 23050103
+0 0 0 0 0 5 1 4 23050104
+0 0 0 0 0 5 1 5 23050105
+0 0 0 0 0 5 1 6 23050106
+0 0 0 0 0 5 1 7 23050107
+0 0 0 0 0 5 1 8 23050108
+0 0 0 0 0 5 1 9 23050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 23050100
+1 0 0 0 0 5 1 1 23050101
+1 0 0 0 0 5 1 2 23050102
+1 0 0 0 0 5 1 3 23050103
+1 0 0 0 0 5 1 4 23050104
+1 0 0 0 0 5 1 5 23050105
+1 0 0 0 0 5 1 6 23050106
+1 0 0 0 0 5 1 7 23050107
+1 0 0 0 0 5 1 8 23050108
+1 0 0 0 0 5 1 9 23050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/tyy.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/tyy.xl
new file mode 100644
index 000000000..566c0922e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/tyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy x (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 24000105
+0 0 0 0 0 1 1 5 24010105
+0 0 0 0 0 2 1 5 24020105
+0 0 0 0 0 3 1 5 24030105
+0 0 0 0 0 4 1 5 24040105
+0 0 0 0 0 5 1 5 24050105
+0 0 0 0 0 6 1 5 24060105
+0 0 0 0 0 7 1 5 24070105
+0 0 0 0 0 8 1 5 24080105
+0 0 0 0 0 9 1 5 24090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 24000105
+1 0 0 0 0 1 1 5 24010105
+1 0 0 0 0 2 1 5 24020105
+1 0 0 0 0 3 1 5 24030105
+1 0 0 0 0 4 1 5 24040105
+1 0 0 0 0 5 1 5 24050105
+1 0 0 0 0 6 1 5 24060105
+1 0 0 0 0 7 1 5 24070105
+1 0 0 0 0 8 1 5 24080105
+1 0 0 0 0 9 1 5 24090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/tyy.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/tyy.yl
new file mode 100644
index 000000000..02c71e680
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/tyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy y (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 24050005
+0 0 0 0 0 5 1 5 24050105
+0 0 0 0 0 5 2 5 24050205
+0 0 0 0 0 5 3 5 24050305
+0 0 0 0 0 5 4 5 24050405
+0 0 0 0 0 5 5 5 24050505
+0 0 0 0 0 5 6 5 24050605
+0 0 0 0 0 5 7 5 24050705
+0 0 0 0 0 5 8 5 24050805
+0 0 0 0 0 5 9 5 24050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 24050105
+1 0 0 0 0 5 1 5 24050105
+1 0 0 0 0 5 2 5 24050205
+1 0 0 0 0 5 3 5 24050305
+1 0 0 0 0 5 4 5 24050405
+1 0 0 0 0 5 5 5 24050505
+1 0 0 0 0 5 6 5 24050605
+1 0 0 0 0 5 7 5 24050705
+1 0 0 0 0 5 8 5 24050805
+1 0 0 0 0 5 9 5 24050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/tyy.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/tyy.zl
new file mode 100644
index 000000000..4f97c9e44
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/tyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy z (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 24050100
+0 0 0 0 0 5 1 1 24050101
+0 0 0 0 0 5 1 2 24050102
+0 0 0 0 0 5 1 3 24050103
+0 0 0 0 0 5 1 4 24050104
+0 0 0 0 0 5 1 5 24050105
+0 0 0 0 0 5 1 6 24050106
+0 0 0 0 0 5 1 7 24050107
+0 0 0 0 0 5 1 8 24050108
+0 0 0 0 0 5 1 9 24050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 24050100
+1 0 0 0 0 5 1 1 24050101
+1 0 0 0 0 5 1 2 24050102
+1 0 0 0 0 5 1 3 24050103
+1 0 0 0 0 5 1 4 24050104
+1 0 0 0 0 5 1 5 24050105
+1 0 0 0 0 5 1 6 24050106
+1 0 0 0 0 5 1 7 24050107
+1 0 0 0 0 5 1 8 24050108
+1 0 0 0 0 5 1 9 24050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/tyz.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/tyz.xl
new file mode 100644
index 000000000..1cac2cd93
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/tyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz x (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 25000105
+0 0 0 0 0 1 1 5 25010105
+0 0 0 0 0 2 1 5 25020105
+0 0 0 0 0 3 1 5 25030105
+0 0 0 0 0 4 1 5 25040105
+0 0 0 0 0 5 1 5 25050105
+0 0 0 0 0 6 1 5 25060105
+0 0 0 0 0 7 1 5 25070105
+0 0 0 0 0 8 1 5 25080105
+0 0 0 0 0 9 1 5 25090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 25000105
+1 0 0 0 0 1 1 5 25010105
+1 0 0 0 0 2 1 5 25020105
+1 0 0 0 0 3 1 5 25030105
+1 0 0 0 0 4 1 5 25040105
+1 0 0 0 0 5 1 5 25050105
+1 0 0 0 0 6 1 5 25060105
+1 0 0 0 0 7 1 5 25070105
+1 0 0 0 0 8 1 5 25080105
+1 0 0 0 0 9 1 5 25090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/tyz.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/tyz.yl
new file mode 100644
index 000000000..fe7a89209
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/tyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz y (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 25050005
+0 0 0 0 0 5 1 5 25050105
+0 0 0 0 0 5 2 5 25050205
+0 0 0 0 0 5 3 5 25050305
+0 0 0 0 0 5 4 5 25050405
+0 0 0 0 0 5 5 5 25050505
+0 0 0 0 0 5 6 5 25050605
+0 0 0 0 0 5 7 5 25050705
+0 0 0 0 0 5 8 5 25050805
+0 0 0 0 0 5 9 5 25050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 -25050105
+1 0 0 0 0 5 1 5 25050105
+1 0 0 0 0 5 2 5 25050205
+1 0 0 0 0 5 3 5 25050305
+1 0 0 0 0 5 4 5 25050405
+1 0 0 0 0 5 5 5 25050505
+1 0 0 0 0 5 6 5 25050605
+1 0 0 0 0 5 7 5 25050705
+1 0 0 0 0 5 8 5 25050805
+1 0 0 0 0 5 9 5 25050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/tyz.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/tyz.zl
new file mode 100644
index 000000000..e7c1157f7
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/tyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz z (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 25050100
+0 0 0 0 0 5 1 1 25050101
+0 0 0 0 0 5 1 2 25050102
+0 0 0 0 0 5 1 3 25050103
+0 0 0 0 0 5 1 4 25050104
+0 0 0 0 0 5 1 5 25050105
+0 0 0 0 0 5 1 6 25050106
+0 0 0 0 0 5 1 7 25050107
+0 0 0 0 0 5 1 8 25050108
+0 0 0 0 0 5 1 9 25050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 25050100
+1 0 0 0 0 5 1 1 25050101
+1 0 0 0 0 5 1 2 25050102
+1 0 0 0 0 5 1 3 25050103
+1 0 0 0 0 5 1 4 25050104
+1 0 0 0 0 5 1 5 25050105
+1 0 0 0 0 5 1 6 25050106
+1 0 0 0 0 5 1 7 25050107
+1 0 0 0 0 5 1 8 25050108
+1 0 0 0 0 5 1 9 25050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/tzz.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/tzz.xl
new file mode 100644
index 000000000..1dfc09b33
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/tzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz x (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 26000105
+0 0 0 0 0 1 1 5 26010105
+0 0 0 0 0 2 1 5 26020105
+0 0 0 0 0 3 1 5 26030105
+0 0 0 0 0 4 1 5 26040105
+0 0 0 0 0 5 1 5 26050105
+0 0 0 0 0 6 1 5 26060105
+0 0 0 0 0 7 1 5 26070105
+0 0 0 0 0 8 1 5 26080105
+0 0 0 0 0 9 1 5 26090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 26000105
+1 0 0 0 0 1 1 5 26010105
+1 0 0 0 0 2 1 5 26020105
+1 0 0 0 0 3 1 5 26030105
+1 0 0 0 0 4 1 5 26040105
+1 0 0 0 0 5 1 5 26050105
+1 0 0 0 0 6 1 5 26060105
+1 0 0 0 0 7 1 5 26070105
+1 0 0 0 0 8 1 5 26080105
+1 0 0 0 0 9 1 5 26090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/tzz.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/tzz.yl
new file mode 100644
index 000000000..40eb99b2e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/tzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz y (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 26050005
+0 0 0 0 0 5 1 5 26050105
+0 0 0 0 0 5 2 5 26050205
+0 0 0 0 0 5 3 5 26050305
+0 0 0 0 0 5 4 5 26050405
+0 0 0 0 0 5 5 5 26050505
+0 0 0 0 0 5 6 5 26050605
+0 0 0 0 0 5 7 5 26050705
+0 0 0 0 0 5 8 5 26050805
+0 0 0 0 0 5 9 5 26050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 26050105
+1 0 0 0 0 5 1 5 26050105
+1 0 0 0 0 5 2 5 26050205
+1 0 0 0 0 5 3 5 26050305
+1 0 0 0 0 5 4 5 26050405
+1 0 0 0 0 5 5 5 26050505
+1 0 0 0 0 5 6 5 26050605
+1 0 0 0 0 5 7 5 26050705
+1 0 0 0 0 5 8 5 26050805
+1 0 0 0 0 5 9 5 26050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/tzz.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/tzz.zl
new file mode 100644
index 000000000..1bbe1fa92
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/tzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz z (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 26050100
+0 0 0 0 0 5 1 1 26050101
+0 0 0 0 0 5 1 2 26050102
+0 0 0 0 0 5 1 3 26050103
+0 0 0 0 0 5 1 4 26050104
+0 0 0 0 0 5 1 5 26050105
+0 0 0 0 0 5 1 6 26050106
+0 0 0 0 0 5 1 7 26050107
+0 0 0 0 0 5 1 8 26050108
+0 0 0 0 0 5 1 9 26050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 26050100
+1 0 0 0 0 5 1 1 26050101
+1 0 0 0 0 5 1 2 26050102
+1 0 0 0 0 5 1 3 26050103
+1 0 0 0 0 5 1 4 26050104
+1 0 0 0 0 5 1 5 26050105
+1 0 0 0 0 5 1 6 26050106
+1 0 0 0 0 5 1 7 26050107
+1 0 0 0 0 5 1 8 26050108
+1 0 0 0 0 5 1 9 26050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/vx.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/vx.xl
new file mode 100644
index 000000000..2fae0a603
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/vx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 11000105
+0 0 0 0 0 1 1 5 11010105
+0 0 0 0 0 2 1 5 11020105
+0 0 0 0 0 3 1 5 11030105
+0 0 0 0 0 4 1 5 11040105
+0 0 0 0 0 5 1 5 11050105
+0 0 0 0 0 6 1 5 11060105
+0 0 0 0 0 7 1 5 11070105
+0 0 0 0 0 8 1 5 11080105
+0 0 0 0 0 9 1 5 11090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 11000105
+1 0 0 0 0 1 1 5 11010105
+1 0 0 0 0 2 1 5 11020105
+1 0 0 0 0 3 1 5 11030105
+1 0 0 0 0 4 1 5 11040105
+1 0 0 0 0 5 1 5 11050105
+1 0 0 0 0 6 1 5 11060105
+1 0 0 0 0 7 1 5 11070105
+1 0 0 0 0 8 1 5 11080105
+1 0 0 0 0 9 1 5 11090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/vx.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/vx.yl
new file mode 100644
index 000000000..3ecaca9bb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/vx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 11050005
+0 0 0 0 0 5 1 5 11050105
+0 0 0 0 0 5 2 5 11050205
+0 0 0 0 0 5 3 5 11050305
+0 0 0 0 0 5 4 5 11050405
+0 0 0 0 0 5 5 5 11050505
+0 0 0 0 0 5 6 5 11050605
+0 0 0 0 0 5 7 5 11050705
+0 0 0 0 0 5 8 5 11050805
+0 0 0 0 0 5 9 5 11050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 11050105
+1 0 0 0 0 5 1 5 11050105
+1 0 0 0 0 5 2 5 11050205
+1 0 0 0 0 5 3 5 11050305
+1 0 0 0 0 5 4 5 11050405
+1 0 0 0 0 5 5 5 11050505
+1 0 0 0 0 5 6 5 11050605
+1 0 0 0 0 5 7 5 11050705
+1 0 0 0 0 5 8 5 11050805
+1 0 0 0 0 5 9 5 11050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/vx.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/vx.zl
new file mode 100644
index 000000000..f88df97af
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/vx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 11050100
+0 0 0 0 0 5 1 1 11050101
+0 0 0 0 0 5 1 2 11050102
+0 0 0 0 0 5 1 3 11050103
+0 0 0 0 0 5 1 4 11050104
+0 0 0 0 0 5 1 5 11050105
+0 0 0 0 0 5 1 6 11050106
+0 0 0 0 0 5 1 7 11050107
+0 0 0 0 0 5 1 8 11050108
+0 0 0 0 0 5 1 9 11050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 11050100
+1 0 0 0 0 5 1 1 11050101
+1 0 0 0 0 5 1 2 11050102
+1 0 0 0 0 5 1 3 11050103
+1 0 0 0 0 5 1 4 11050104
+1 0 0 0 0 5 1 5 11050105
+1 0 0 0 0 5 1 6 11050106
+1 0 0 0 0 5 1 7 11050107
+1 0 0 0 0 5 1 8 11050108
+1 0 0 0 0 5 1 9 11050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/vy.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/vy.xl
new file mode 100644
index 000000000..abba49be6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/vy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 12000105
+0 0 0 0 0 1 1 5 12010105
+0 0 0 0 0 2 1 5 12020105
+0 0 0 0 0 3 1 5 12030105
+0 0 0 0 0 4 1 5 12040105
+0 0 0 0 0 5 1 5 12050105
+0 0 0 0 0 6 1 5 12060105
+0 0 0 0 0 7 1 5 12070105
+0 0 0 0 0 8 1 5 12080105
+0 0 0 0 0 9 1 5 12090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 12000105
+1 0 0 0 0 1 1 5 12010105
+1 0 0 0 0 2 1 5 12020105
+1 0 0 0 0 3 1 5 12030105
+1 0 0 0 0 4 1 5 12040105
+1 0 0 0 0 5 1 5 12050105
+1 0 0 0 0 6 1 5 12060105
+1 0 0 0 0 7 1 5 12070105
+1 0 0 0 0 8 1 5 12080105
+1 0 0 0 0 9 1 5 12090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/vy.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/vy.yl
new file mode 100644
index 000000000..1ebaab1d2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/vy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 12050005
+0 0 0 0 0 5 1 5 12050105
+0 0 0 0 0 5 2 5 12050205
+0 0 0 0 0 5 3 5 12050305
+0 0 0 0 0 5 4 5 12050405
+0 0 0 0 0 5 5 5 12050505
+0 0 0 0 0 5 6 5 12050605
+0 0 0 0 0 5 7 5 12050705
+0 0 0 0 0 5 8 5 12050805
+0 0 0 0 0 5 9 5 12050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 -12050105
+1 0 0 0 0 5 1 5 12050105
+1 0 0 0 0 5 2 5 12050205
+1 0 0 0 0 5 3 5 12050305
+1 0 0 0 0 5 4 5 12050405
+1 0 0 0 0 5 5 5 12050505
+1 0 0 0 0 5 6 5 12050605
+1 0 0 0 0 5 7 5 12050705
+1 0 0 0 0 5 8 5 12050805
+1 0 0 0 0 5 9 5 12050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/vy.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/vy.zl
new file mode 100644
index 000000000..be427ea3b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/vy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 12050100
+0 0 0 0 0 5 1 1 12050101
+0 0 0 0 0 5 1 2 12050102
+0 0 0 0 0 5 1 3 12050103
+0 0 0 0 0 5 1 4 12050104
+0 0 0 0 0 5 1 5 12050105
+0 0 0 0 0 5 1 6 12050106
+0 0 0 0 0 5 1 7 12050107
+0 0 0 0 0 5 1 8 12050108
+0 0 0 0 0 5 1 9 12050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 12050100
+1 0 0 0 0 5 1 1 12050101
+1 0 0 0 0 5 1 2 12050102
+1 0 0 0 0 5 1 3 12050103
+1 0 0 0 0 5 1 4 12050104
+1 0 0 0 0 5 1 5 12050105
+1 0 0 0 0 5 1 6 12050106
+1 0 0 0 0 5 1 7 12050107
+1 0 0 0 0 5 1 8 12050108
+1 0 0 0 0 5 1 9 12050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/vz.xl b/CarpetAttic/Cart3dTest/test/symmetric-y/vz.xl
new file mode 100644
index 000000000..a01f81b61
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/vz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 5 13000105
+0 0 0 0 0 1 1 5 13010105
+0 0 0 0 0 2 1 5 13020105
+0 0 0 0 0 3 1 5 13030105
+0 0 0 0 0 4 1 5 13040105
+0 0 0 0 0 5 1 5 13050105
+0 0 0 0 0 6 1 5 13060105
+0 0 0 0 0 7 1 5 13070105
+0 0 0 0 0 8 1 5 13080105
+0 0 0 0 0 9 1 5 13090105
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 5 13000105
+1 0 0 0 0 1 1 5 13010105
+1 0 0 0 0 2 1 5 13020105
+1 0 0 0 0 3 1 5 13030105
+1 0 0 0 0 4 1 5 13040105
+1 0 0 0 0 5 1 5 13050105
+1 0 0 0 0 6 1 5 13060105
+1 0 0 0 0 7 1 5 13070105
+1 0 0 0 0 8 1 5 13080105
+1 0 0 0 0 9 1 5 13090105
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/vz.yl b/CarpetAttic/Cart3dTest/test/symmetric-y/vz.yl
new file mode 100644
index 000000000..d30c882cf
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/vz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 5 13050005
+0 0 0 0 0 5 1 5 13050105
+0 0 0 0 0 5 2 5 13050205
+0 0 0 0 0 5 3 5 13050305
+0 0 0 0 0 5 4 5 13050405
+0 0 0 0 0 5 5 5 13050505
+0 0 0 0 0 5 6 5 13050605
+0 0 0 0 0 5 7 5 13050705
+0 0 0 0 0 5 8 5 13050805
+0 0 0 0 0 5 9 5 13050905
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 5 13050105
+1 0 0 0 0 5 1 5 13050105
+1 0 0 0 0 5 2 5 13050205
+1 0 0 0 0 5 3 5 13050305
+1 0 0 0 0 5 4 5 13050405
+1 0 0 0 0 5 5 5 13050505
+1 0 0 0 0 5 6 5 13050605
+1 0 0 0 0 5 7 5 13050705
+1 0 0 0 0 5 8 5 13050805
+1 0 0 0 0 5 9 5 13050905
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-y/vz.zl b/CarpetAttic/Cart3dTest/test/symmetric-y/vz.zl
new file mode 100644
index 000000000..0245c4165
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-y/vz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 1 0 13050100
+0 0 0 0 0 5 1 1 13050101
+0 0 0 0 0 5 1 2 13050102
+0 0 0 0 0 5 1 3 13050103
+0 0 0 0 0 5 1 4 13050104
+0 0 0 0 0 5 1 5 13050105
+0 0 0 0 0 5 1 6 13050106
+0 0 0 0 0 5 1 7 13050107
+0 0 0 0 0 5 1 8 13050108
+0 0 0 0 0 5 1 9 13050109
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 1 0 13050100
+1 0 0 0 0 5 1 1 13050101
+1 0 0 0 0 5 1 2 13050102
+1 0 0 0 0 5 1 3 13050103
+1 0 0 0 0 5 1 4 13050104
+1 0 0 0 0 5 1 5 13050105
+1 0 0 0 0 5 1 6 13050106
+1 0 0 0 0 5 1 7 13050107
+1 0 0 0 0 5 1 8 13050108
+1 0 0 0 0 5 1 9 13050109
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z.log b/CarpetAttic/Cart3dTest/test/symmetric-z.log
new file mode 100644
index 000000000..8b02f3bdb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z.log
@@ -0,0 +1,81 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Cart3dTest...Success -> active implementation Cart3dTest
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Cart3dTest: Create some interesting initial data
+
+ do loop over timesteps
+ Cart3dTest: Apply symmetry boundary conditions
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([0,1,2]:[9,8,7]:[1,1,1])
+boundaries={([0,0,0]:[9,0,9]:[1,1,1]),([0,1,0]:[9,8,1]:[1,1,1]),([0,9,0]:[9,9,9]:[1,1,1]),([0,1,8]:[9,8,9]:[1,1,1])}
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z.par b/CarpetAttic/Cart3dTest/test/symmetric-z.par
new file mode 100644
index 000000000..25d3f7f77
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z.par
@@ -0,0 +1,17 @@
+# Check Cartesian coordinates and symmetries
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/test/symmetric-z.par,v 1.4 2004/03/23 11:59:46 schnetter Exp $
+
+ActiveThorns = "CarpetIOASCII IOBasic IOUtil Carpet CarpetLib CarpetSlab Cart3d Cart3dTest"
+
+cactus::cctk_itlast = 1
+
+grid::type = "byspacing"
+grid::mode_z = "symmetric"
+
+driver::ghost_size_x = 0
+driver::ghost_size_y = 1
+driver::ghost_size_z = 2
+
+IO::out_dir = "symmetric-z"
+IOASCII::out1D_vars = "grid::coordinates Cart3dTest::quantities"
+IOASCII::out1D_every = 1
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/ax.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/ax.xl
new file mode 100644
index 000000000..7e8e323fa
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/ax.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax x (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 31000502
+0 0 0 0 0 1 5 2 31010502
+0 0 0 0 0 2 5 2 31020502
+0 0 0 0 0 3 5 2 31030502
+0 0 0 0 0 4 5 2 31040502
+0 0 0 0 0 5 5 2 31050502
+0 0 0 0 0 6 5 2 31060502
+0 0 0 0 0 7 5 2 31070502
+0 0 0 0 0 8 5 2 31080502
+0 0 0 0 0 9 5 2 31090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 31000502
+1 0 0 0 0 1 5 2 31010502
+1 0 0 0 0 2 5 2 31020502
+1 0 0 0 0 3 5 2 31030502
+1 0 0 0 0 4 5 2 31040502
+1 0 0 0 0 5 5 2 31050502
+1 0 0 0 0 6 5 2 31060502
+1 0 0 0 0 7 5 2 31070502
+1 0 0 0 0 8 5 2 31080502
+1 0 0 0 0 9 5 2 31090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/ax.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/ax.yl
new file mode 100644
index 000000000..afff82d2d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/ax.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax y (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 31050002
+0 0 0 0 0 5 1 2 31050102
+0 0 0 0 0 5 2 2 31050202
+0 0 0 0 0 5 3 2 31050302
+0 0 0 0 0 5 4 2 31050402
+0 0 0 0 0 5 5 2 31050502
+0 0 0 0 0 5 6 2 31050602
+0 0 0 0 0 5 7 2 31050702
+0 0 0 0 0 5 8 2 31050802
+0 0 0 0 0 5 9 2 31050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 31050002
+1 0 0 0 0 5 1 2 31050102
+1 0 0 0 0 5 2 2 31050202
+1 0 0 0 0 5 3 2 31050302
+1 0 0 0 0 5 4 2 31050402
+1 0 0 0 0 5 5 2 31050502
+1 0 0 0 0 5 6 2 31050602
+1 0 0 0 0 5 7 2 31050702
+1 0 0 0 0 5 8 2 31050802
+1 0 0 0 0 5 9 2 31050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/ax.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/ax.zl
new file mode 100644
index 000000000..a07bdd678
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/ax.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ax z (ax)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 31050500
+0 0 0 0 0 5 5 1 31050501
+0 0 0 0 0 5 5 2 31050502
+0 0 0 0 0 5 5 3 31050503
+0 0 0 0 0 5 5 4 31050504
+0 0 0 0 0 5 5 5 31050505
+0 0 0 0 0 5 5 6 31050506
+0 0 0 0 0 5 5 7 31050507
+0 0 0 0 0 5 5 8 31050508
+0 0 0 0 0 5 5 9 31050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -31050503
+1 0 0 0 0 5 5 1 -31050502
+1 0 0 0 0 5 5 2 31050502
+1 0 0 0 0 5 5 3 31050503
+1 0 0 0 0 5 5 4 31050504
+1 0 0 0 0 5 5 5 31050505
+1 0 0 0 0 5 5 6 31050506
+1 0 0 0 0 5 5 7 31050507
+1 0 0 0 0 5 5 8 31050508
+1 0 0 0 0 5 5 9 31050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/ay.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/ay.xl
new file mode 100644
index 000000000..d5d30f098
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/ay.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay x (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 32000502
+0 0 0 0 0 1 5 2 32010502
+0 0 0 0 0 2 5 2 32020502
+0 0 0 0 0 3 5 2 32030502
+0 0 0 0 0 4 5 2 32040502
+0 0 0 0 0 5 5 2 32050502
+0 0 0 0 0 6 5 2 32060502
+0 0 0 0 0 7 5 2 32070502
+0 0 0 0 0 8 5 2 32080502
+0 0 0 0 0 9 5 2 32090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 32000502
+1 0 0 0 0 1 5 2 32010502
+1 0 0 0 0 2 5 2 32020502
+1 0 0 0 0 3 5 2 32030502
+1 0 0 0 0 4 5 2 32040502
+1 0 0 0 0 5 5 2 32050502
+1 0 0 0 0 6 5 2 32060502
+1 0 0 0 0 7 5 2 32070502
+1 0 0 0 0 8 5 2 32080502
+1 0 0 0 0 9 5 2 32090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/ay.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/ay.yl
new file mode 100644
index 000000000..b615a8d33
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/ay.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay y (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 32050002
+0 0 0 0 0 5 1 2 32050102
+0 0 0 0 0 5 2 2 32050202
+0 0 0 0 0 5 3 2 32050302
+0 0 0 0 0 5 4 2 32050402
+0 0 0 0 0 5 5 2 32050502
+0 0 0 0 0 5 6 2 32050602
+0 0 0 0 0 5 7 2 32050702
+0 0 0 0 0 5 8 2 32050802
+0 0 0 0 0 5 9 2 32050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 32050002
+1 0 0 0 0 5 1 2 32050102
+1 0 0 0 0 5 2 2 32050202
+1 0 0 0 0 5 3 2 32050302
+1 0 0 0 0 5 4 2 32050402
+1 0 0 0 0 5 5 2 32050502
+1 0 0 0 0 5 6 2 32050602
+1 0 0 0 0 5 7 2 32050702
+1 0 0 0 0 5 8 2 32050802
+1 0 0 0 0 5 9 2 32050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/ay.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/ay.zl
new file mode 100644
index 000000000..806872ae0
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/ay.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::ay z (ay)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 32050500
+0 0 0 0 0 5 5 1 32050501
+0 0 0 0 0 5 5 2 32050502
+0 0 0 0 0 5 5 3 32050503
+0 0 0 0 0 5 5 4 32050504
+0 0 0 0 0 5 5 5 32050505
+0 0 0 0 0 5 5 6 32050506
+0 0 0 0 0 5 5 7 32050507
+0 0 0 0 0 5 5 8 32050508
+0 0 0 0 0 5 5 9 32050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -32050503
+1 0 0 0 0 5 5 1 -32050502
+1 0 0 0 0 5 5 2 32050502
+1 0 0 0 0 5 5 3 32050503
+1 0 0 0 0 5 5 4 32050504
+1 0 0 0 0 5 5 5 32050505
+1 0 0 0 0 5 5 6 32050506
+1 0 0 0 0 5 5 7 32050507
+1 0 0 0 0 5 5 8 32050508
+1 0 0 0 0 5 5 9 32050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/az.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/az.xl
new file mode 100644
index 000000000..2801cce26
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/az.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::az x (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 33000502
+0 0 0 0 0 1 5 2 33010502
+0 0 0 0 0 2 5 2 33020502
+0 0 0 0 0 3 5 2 33030502
+0 0 0 0 0 4 5 2 33040502
+0 0 0 0 0 5 5 2 33050502
+0 0 0 0 0 6 5 2 33060502
+0 0 0 0 0 7 5 2 33070502
+0 0 0 0 0 8 5 2 33080502
+0 0 0 0 0 9 5 2 33090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 33000502
+1 0 0 0 0 1 5 2 33010502
+1 0 0 0 0 2 5 2 33020502
+1 0 0 0 0 3 5 2 33030502
+1 0 0 0 0 4 5 2 33040502
+1 0 0 0 0 5 5 2 33050502
+1 0 0 0 0 6 5 2 33060502
+1 0 0 0 0 7 5 2 33070502
+1 0 0 0 0 8 5 2 33080502
+1 0 0 0 0 9 5 2 33090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/az.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/az.yl
new file mode 100644
index 000000000..8a4a69164
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/az.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::az y (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 33050002
+0 0 0 0 0 5 1 2 33050102
+0 0 0 0 0 5 2 2 33050202
+0 0 0 0 0 5 3 2 33050302
+0 0 0 0 0 5 4 2 33050402
+0 0 0 0 0 5 5 2 33050502
+0 0 0 0 0 5 6 2 33050602
+0 0 0 0 0 5 7 2 33050702
+0 0 0 0 0 5 8 2 33050802
+0 0 0 0 0 5 9 2 33050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 33050002
+1 0 0 0 0 5 1 2 33050102
+1 0 0 0 0 5 2 2 33050202
+1 0 0 0 0 5 3 2 33050302
+1 0 0 0 0 5 4 2 33050402
+1 0 0 0 0 5 5 2 33050502
+1 0 0 0 0 5 6 2 33050602
+1 0 0 0 0 5 7 2 33050702
+1 0 0 0 0 5 8 2 33050802
+1 0 0 0 0 5 9 2 33050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/az.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/az.zl
new file mode 100644
index 000000000..cc4797e0a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/az.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::az z (az)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 33050500
+0 0 0 0 0 5 5 1 33050501
+0 0 0 0 0 5 5 2 33050502
+0 0 0 0 0 5 5 3 33050503
+0 0 0 0 0 5 5 4 33050504
+0 0 0 0 0 5 5 5 33050505
+0 0 0 0 0 5 5 6 33050506
+0 0 0 0 0 5 5 7 33050507
+0 0 0 0 0 5 5 8 33050508
+0 0 0 0 0 5 5 9 33050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 33050503
+1 0 0 0 0 5 5 1 33050502
+1 0 0 0 0 5 5 2 33050502
+1 0 0 0 0 5 5 3 33050503
+1 0 0 0 0 5 5 4 33050504
+1 0 0 0 0 5 5 5 33050505
+1 0 0 0 0 5 5 6 33050506
+1 0 0 0 0 5 5 7 33050507
+1 0 0 0 0 5 5 8 33050508
+1 0 0 0 0 5 5 9 33050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_x.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_x.xl
new file mode 100644
index 000000000..af3d5317e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_x.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 -1.35
+0 0 0 0 0 1 5 2 -1.05
+0 0 0 0 0 2 5 2 -0.75
+0 0 0 0 0 3 5 2 -0.45
+0 0 0 0 0 4 5 2 -0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 6 5 2 0.45
+0 0 0 0 0 7 5 2 0.75
+0 0 0 0 0 8 5 2 1.05
+0 0 0 0 0 9 5 2 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 -1.35
+1 0 0 0 0 1 5 2 -1.05
+1 0 0 0 0 2 5 2 -0.75
+1 0 0 0 0 3 5 2 -0.45
+1 0 0 0 0 4 5 2 -0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 6 5 2 0.45
+1 0 0 0 0 7 5 2 0.75
+1 0 0 0 0 8 5 2 1.05
+1 0 0 0 0 9 5 2 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_x.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_x.yl
new file mode 100644
index 000000000..ffac552e2
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_x.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 5 2 2 0.15
+0 0 0 0 0 5 3 2 0.15
+0 0 0 0 0 5 4 2 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 6 2 0.15
+0 0 0 0 0 5 7 2 0.15
+0 0 0 0 0 5 8 2 0.15
+0 0 0 0 0 5 9 2 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 0.15
+1 0 0 0 0 5 1 2 0.15
+1 0 0 0 0 5 2 2 0.15
+1 0 0 0 0 5 3 2 0.15
+1 0 0 0 0 5 4 2 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 6 2 0.15
+1 0 0 0 0 5 7 2 0.15
+1 0 0 0 0 5 8 2 0.15
+1 0 0 0 0 5 9 2 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_x.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_x.zl
new file mode 100644
index 000000000..1f894853b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_x.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.15
+0 0 0 0 0 5 5 1 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 5 3 0.15
+0 0 0 0 0 5 5 4 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.15
+0 0 0 0 0 5 5 7 0.15
+0 0 0 0 0 5 5 8 0.15
+0 0 0 0 0 5 5 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 0.15
+1 0 0 0 0 5 5 1 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 5 3 0.15
+1 0 0 0 0 5 5 4 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 5 6 0.15
+1 0 0 0 0 5 5 7 0.15
+1 0 0 0 0 5 5 8 0.15
+1 0 0 0 0 5 5 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_y.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_y.xl
new file mode 100644
index 000000000..025be7f91
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_y.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 1 5 2 0.15
+0 0 0 0 0 2 5 2 0.15
+0 0 0 0 0 3 5 2 0.15
+0 0 0 0 0 4 5 2 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 6 5 2 0.15
+0 0 0 0 0 7 5 2 0.15
+0 0 0 0 0 8 5 2 0.15
+0 0 0 0 0 9 5 2 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 0.15
+1 0 0 0 0 1 5 2 0.15
+1 0 0 0 0 2 5 2 0.15
+1 0 0 0 0 3 5 2 0.15
+1 0 0 0 0 4 5 2 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 6 5 2 0.15
+1 0 0 0 0 7 5 2 0.15
+1 0 0 0 0 8 5 2 0.15
+1 0 0 0 0 9 5 2 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_y.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_y.yl
new file mode 100644
index 000000000..34e77908f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_y.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 -1.35
+0 0 0 0 0 5 1 2 -1.05
+0 0 0 0 0 5 2 2 -0.75
+0 0 0 0 0 5 3 2 -0.45
+0 0 0 0 0 5 4 2 -0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 6 2 0.45
+0 0 0 0 0 5 7 2 0.75
+0 0 0 0 0 5 8 2 1.05
+0 0 0 0 0 5 9 2 1.35
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 -1.35
+1 0 0 0 0 5 1 2 -1.05
+1 0 0 0 0 5 2 2 -0.75
+1 0 0 0 0 5 3 2 -0.45
+1 0 0 0 0 5 4 2 -0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 6 2 0.45
+1 0 0 0 0 5 7 2 0.75
+1 0 0 0 0 5 8 2 1.05
+1 0 0 0 0 5 9 2 1.35
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_y.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_y.zl
new file mode 100644
index 000000000..f32f3acb9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_y.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.15
+0 0 0 0 0 5 5 1 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 5 3 0.15
+0 0 0 0 0 5 5 4 0.15
+0 0 0 0 0 5 5 5 0.15
+0 0 0 0 0 5 5 6 0.15
+0 0 0 0 0 5 5 7 0.15
+0 0 0 0 0 5 5 8 0.15
+0 0 0 0 0 5 5 9 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 0.15
+1 0 0 0 0 5 5 1 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 5 3 0.15
+1 0 0 0 0 5 5 4 0.15
+1 0 0 0 0 5 5 5 0.15
+1 0 0 0 0 5 5 6 0.15
+1 0 0 0 0 5 5 7 0.15
+1 0 0 0 0 5 5 8 0.15
+1 0 0 0 0 5 5 9 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_z.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_z.xl
new file mode 100644
index 000000000..8c4b8799d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_z.xl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 0.15
+0 0 0 0 0 1 5 2 0.15
+0 0 0 0 0 2 5 2 0.15
+0 0 0 0 0 3 5 2 0.15
+0 0 0 0 0 4 5 2 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 6 5 2 0.15
+0 0 0 0 0 7 5 2 0.15
+0 0 0 0 0 8 5 2 0.15
+0 0 0 0 0 9 5 2 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 0.15
+1 0 0 0 0 1 5 2 0.15
+1 0 0 0 0 2 5 2 0.15
+1 0 0 0 0 3 5 2 0.15
+1 0 0 0 0 4 5 2 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 6 5 2 0.15
+1 0 0 0 0 7 5 2 0.15
+1 0 0 0 0 8 5 2 0.15
+1 0 0 0 0 9 5 2 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_z.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_z.yl
new file mode 100644
index 000000000..16379780b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_z.yl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 0.15
+0 0 0 0 0 5 1 2 0.15
+0 0 0 0 0 5 2 2 0.15
+0 0 0 0 0 5 3 2 0.15
+0 0 0 0 0 5 4 2 0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 6 2 0.15
+0 0 0 0 0 5 7 2 0.15
+0 0 0 0 0 5 8 2 0.15
+0 0 0 0 0 5 9 2 0.15
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 0.15
+1 0 0 0 0 5 1 2 0.15
+1 0 0 0 0 5 2 2 0.15
+1 0 0 0 0 5 3 2 0.15
+1 0 0 0 0 5 4 2 0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 6 2 0.15
+1 0 0 0 0 5 7 2 0.15
+1 0 0 0 0 5 8 2 0.15
+1 0 0 0 0 5 9 2 0.15
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_z.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_z.zl
new file mode 100644
index 000000000..782306204
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/cart3d_z.zl
@@ -0,0 +1,34 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 -0.45
+0 0 0 0 0 5 5 1 -0.15
+0 0 0 0 0 5 5 2 0.15
+0 0 0 0 0 5 5 3 0.45
+0 0 0 0 0 5 5 4 0.75
+0 0 0 0 0 5 5 5 1.05
+0 0 0 0 0 5 5 6 1.35
+0 0 0 0 0 5 5 7 1.65
+0 0 0 0 0 5 5 8 1.95
+0 0 0 0 0 5 5 9 2.25
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -0.45
+1 0 0 0 0 5 5 1 -0.15
+1 0 0 0 0 5 5 2 0.15
+1 0 0 0 0 5 5 3 0.45
+1 0 0 0 0 5 5 4 0.75
+1 0 0 0 0 5 5 5 1.05
+1 0 0 0 0 5 5 6 1.35
+1 0 0 0 0 5 5 7 1.65
+1 0 0 0 0 5 5 8 1.95
+1 0 0 0 0 5 5 9 2.25
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fxx.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/fxx.xl
new file mode 100644
index 000000000..95f2f58d9
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fxx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx x (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 41000502
+0 0 0 0 0 1 5 2 41010502
+0 0 0 0 0 2 5 2 41020502
+0 0 0 0 0 3 5 2 41030502
+0 0 0 0 0 4 5 2 41040502
+0 0 0 0 0 5 5 2 41050502
+0 0 0 0 0 6 5 2 41060502
+0 0 0 0 0 7 5 2 41070502
+0 0 0 0 0 8 5 2 41080502
+0 0 0 0 0 9 5 2 41090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 41000502
+1 0 0 0 0 1 5 2 41010502
+1 0 0 0 0 2 5 2 41020502
+1 0 0 0 0 3 5 2 41030502
+1 0 0 0 0 4 5 2 41040502
+1 0 0 0 0 5 5 2 41050502
+1 0 0 0 0 6 5 2 41060502
+1 0 0 0 0 7 5 2 41070502
+1 0 0 0 0 8 5 2 41080502
+1 0 0 0 0 9 5 2 41090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fxx.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/fxx.yl
new file mode 100644
index 000000000..45b9dc040
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fxx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx y (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 41050002
+0 0 0 0 0 5 1 2 41050102
+0 0 0 0 0 5 2 2 41050202
+0 0 0 0 0 5 3 2 41050302
+0 0 0 0 0 5 4 2 41050402
+0 0 0 0 0 5 5 2 41050502
+0 0 0 0 0 5 6 2 41050602
+0 0 0 0 0 5 7 2 41050702
+0 0 0 0 0 5 8 2 41050802
+0 0 0 0 0 5 9 2 41050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 41050002
+1 0 0 0 0 5 1 2 41050102
+1 0 0 0 0 5 2 2 41050202
+1 0 0 0 0 5 3 2 41050302
+1 0 0 0 0 5 4 2 41050402
+1 0 0 0 0 5 5 2 41050502
+1 0 0 0 0 5 6 2 41050602
+1 0 0 0 0 5 7 2 41050702
+1 0 0 0 0 5 8 2 41050802
+1 0 0 0 0 5 9 2 41050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fxx.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/fxx.zl
new file mode 100644
index 000000000..7cf334992
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fxx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxx z (fxx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 41050500
+0 0 0 0 0 5 5 1 41050501
+0 0 0 0 0 5 5 2 41050502
+0 0 0 0 0 5 5 3 41050503
+0 0 0 0 0 5 5 4 41050504
+0 0 0 0 0 5 5 5 41050505
+0 0 0 0 0 5 5 6 41050506
+0 0 0 0 0 5 5 7 41050507
+0 0 0 0 0 5 5 8 41050508
+0 0 0 0 0 5 5 9 41050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 41050503
+1 0 0 0 0 5 5 1 41050502
+1 0 0 0 0 5 5 2 41050502
+1 0 0 0 0 5 5 3 41050503
+1 0 0 0 0 5 5 4 41050504
+1 0 0 0 0 5 5 5 41050505
+1 0 0 0 0 5 5 6 41050506
+1 0 0 0 0 5 5 7 41050507
+1 0 0 0 0 5 5 8 41050508
+1 0 0 0 0 5 5 9 41050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fxy.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/fxy.xl
new file mode 100644
index 000000000..698d922be
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fxy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy x (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 42000502
+0 0 0 0 0 1 5 2 42010502
+0 0 0 0 0 2 5 2 42020502
+0 0 0 0 0 3 5 2 42030502
+0 0 0 0 0 4 5 2 42040502
+0 0 0 0 0 5 5 2 42050502
+0 0 0 0 0 6 5 2 42060502
+0 0 0 0 0 7 5 2 42070502
+0 0 0 0 0 8 5 2 42080502
+0 0 0 0 0 9 5 2 42090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 42000502
+1 0 0 0 0 1 5 2 42010502
+1 0 0 0 0 2 5 2 42020502
+1 0 0 0 0 3 5 2 42030502
+1 0 0 0 0 4 5 2 42040502
+1 0 0 0 0 5 5 2 42050502
+1 0 0 0 0 6 5 2 42060502
+1 0 0 0 0 7 5 2 42070502
+1 0 0 0 0 8 5 2 42080502
+1 0 0 0 0 9 5 2 42090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fxy.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/fxy.yl
new file mode 100644
index 000000000..57400f89a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fxy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy y (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 42050002
+0 0 0 0 0 5 1 2 42050102
+0 0 0 0 0 5 2 2 42050202
+0 0 0 0 0 5 3 2 42050302
+0 0 0 0 0 5 4 2 42050402
+0 0 0 0 0 5 5 2 42050502
+0 0 0 0 0 5 6 2 42050602
+0 0 0 0 0 5 7 2 42050702
+0 0 0 0 0 5 8 2 42050802
+0 0 0 0 0 5 9 2 42050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 42050002
+1 0 0 0 0 5 1 2 42050102
+1 0 0 0 0 5 2 2 42050202
+1 0 0 0 0 5 3 2 42050302
+1 0 0 0 0 5 4 2 42050402
+1 0 0 0 0 5 5 2 42050502
+1 0 0 0 0 5 6 2 42050602
+1 0 0 0 0 5 7 2 42050702
+1 0 0 0 0 5 8 2 42050802
+1 0 0 0 0 5 9 2 42050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fxy.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/fxy.zl
new file mode 100644
index 000000000..73e972b88
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fxy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxy z (fxy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 42050500
+0 0 0 0 0 5 5 1 42050501
+0 0 0 0 0 5 5 2 42050502
+0 0 0 0 0 5 5 3 42050503
+0 0 0 0 0 5 5 4 42050504
+0 0 0 0 0 5 5 5 42050505
+0 0 0 0 0 5 5 6 42050506
+0 0 0 0 0 5 5 7 42050507
+0 0 0 0 0 5 5 8 42050508
+0 0 0 0 0 5 5 9 42050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 42050503
+1 0 0 0 0 5 5 1 42050502
+1 0 0 0 0 5 5 2 42050502
+1 0 0 0 0 5 5 3 42050503
+1 0 0 0 0 5 5 4 42050504
+1 0 0 0 0 5 5 5 42050505
+1 0 0 0 0 5 5 6 42050506
+1 0 0 0 0 5 5 7 42050507
+1 0 0 0 0 5 5 8 42050508
+1 0 0 0 0 5 5 9 42050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fxz.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/fxz.xl
new file mode 100644
index 000000000..eb671b85f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fxz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz x (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 43000502
+0 0 0 0 0 1 5 2 43010502
+0 0 0 0 0 2 5 2 43020502
+0 0 0 0 0 3 5 2 43030502
+0 0 0 0 0 4 5 2 43040502
+0 0 0 0 0 5 5 2 43050502
+0 0 0 0 0 6 5 2 43060502
+0 0 0 0 0 7 5 2 43070502
+0 0 0 0 0 8 5 2 43080502
+0 0 0 0 0 9 5 2 43090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 43000502
+1 0 0 0 0 1 5 2 43010502
+1 0 0 0 0 2 5 2 43020502
+1 0 0 0 0 3 5 2 43030502
+1 0 0 0 0 4 5 2 43040502
+1 0 0 0 0 5 5 2 43050502
+1 0 0 0 0 6 5 2 43060502
+1 0 0 0 0 7 5 2 43070502
+1 0 0 0 0 8 5 2 43080502
+1 0 0 0 0 9 5 2 43090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fxz.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/fxz.yl
new file mode 100644
index 000000000..76fe56c05
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fxz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz y (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 43050002
+0 0 0 0 0 5 1 2 43050102
+0 0 0 0 0 5 2 2 43050202
+0 0 0 0 0 5 3 2 43050302
+0 0 0 0 0 5 4 2 43050402
+0 0 0 0 0 5 5 2 43050502
+0 0 0 0 0 5 6 2 43050602
+0 0 0 0 0 5 7 2 43050702
+0 0 0 0 0 5 8 2 43050802
+0 0 0 0 0 5 9 2 43050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 43050002
+1 0 0 0 0 5 1 2 43050102
+1 0 0 0 0 5 2 2 43050202
+1 0 0 0 0 5 3 2 43050302
+1 0 0 0 0 5 4 2 43050402
+1 0 0 0 0 5 5 2 43050502
+1 0 0 0 0 5 6 2 43050602
+1 0 0 0 0 5 7 2 43050702
+1 0 0 0 0 5 8 2 43050802
+1 0 0 0 0 5 9 2 43050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fxz.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/fxz.zl
new file mode 100644
index 000000000..35900ef4e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fxz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fxz z (fxz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 43050500
+0 0 0 0 0 5 5 1 43050501
+0 0 0 0 0 5 5 2 43050502
+0 0 0 0 0 5 5 3 43050503
+0 0 0 0 0 5 5 4 43050504
+0 0 0 0 0 5 5 5 43050505
+0 0 0 0 0 5 5 6 43050506
+0 0 0 0 0 5 5 7 43050507
+0 0 0 0 0 5 5 8 43050508
+0 0 0 0 0 5 5 9 43050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -43050503
+1 0 0 0 0 5 5 1 -43050502
+1 0 0 0 0 5 5 2 43050502
+1 0 0 0 0 5 5 3 43050503
+1 0 0 0 0 5 5 4 43050504
+1 0 0 0 0 5 5 5 43050505
+1 0 0 0 0 5 5 6 43050506
+1 0 0 0 0 5 5 7 43050507
+1 0 0 0 0 5 5 8 43050508
+1 0 0 0 0 5 5 9 43050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fyx.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/fyx.xl
new file mode 100644
index 000000000..caa8164cc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fyx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx x (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 44000502
+0 0 0 0 0 1 5 2 44010502
+0 0 0 0 0 2 5 2 44020502
+0 0 0 0 0 3 5 2 44030502
+0 0 0 0 0 4 5 2 44040502
+0 0 0 0 0 5 5 2 44050502
+0 0 0 0 0 6 5 2 44060502
+0 0 0 0 0 7 5 2 44070502
+0 0 0 0 0 8 5 2 44080502
+0 0 0 0 0 9 5 2 44090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 44000502
+1 0 0 0 0 1 5 2 44010502
+1 0 0 0 0 2 5 2 44020502
+1 0 0 0 0 3 5 2 44030502
+1 0 0 0 0 4 5 2 44040502
+1 0 0 0 0 5 5 2 44050502
+1 0 0 0 0 6 5 2 44060502
+1 0 0 0 0 7 5 2 44070502
+1 0 0 0 0 8 5 2 44080502
+1 0 0 0 0 9 5 2 44090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fyx.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/fyx.yl
new file mode 100644
index 000000000..2e7f66e3d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fyx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx y (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 44050002
+0 0 0 0 0 5 1 2 44050102
+0 0 0 0 0 5 2 2 44050202
+0 0 0 0 0 5 3 2 44050302
+0 0 0 0 0 5 4 2 44050402
+0 0 0 0 0 5 5 2 44050502
+0 0 0 0 0 5 6 2 44050602
+0 0 0 0 0 5 7 2 44050702
+0 0 0 0 0 5 8 2 44050802
+0 0 0 0 0 5 9 2 44050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 44050002
+1 0 0 0 0 5 1 2 44050102
+1 0 0 0 0 5 2 2 44050202
+1 0 0 0 0 5 3 2 44050302
+1 0 0 0 0 5 4 2 44050402
+1 0 0 0 0 5 5 2 44050502
+1 0 0 0 0 5 6 2 44050602
+1 0 0 0 0 5 7 2 44050702
+1 0 0 0 0 5 8 2 44050802
+1 0 0 0 0 5 9 2 44050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fyx.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/fyx.zl
new file mode 100644
index 000000000..db9cd5c51
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fyx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyx z (fyx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 44050500
+0 0 0 0 0 5 5 1 44050501
+0 0 0 0 0 5 5 2 44050502
+0 0 0 0 0 5 5 3 44050503
+0 0 0 0 0 5 5 4 44050504
+0 0 0 0 0 5 5 5 44050505
+0 0 0 0 0 5 5 6 44050506
+0 0 0 0 0 5 5 7 44050507
+0 0 0 0 0 5 5 8 44050508
+0 0 0 0 0 5 5 9 44050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 44050503
+1 0 0 0 0 5 5 1 44050502
+1 0 0 0 0 5 5 2 44050502
+1 0 0 0 0 5 5 3 44050503
+1 0 0 0 0 5 5 4 44050504
+1 0 0 0 0 5 5 5 44050505
+1 0 0 0 0 5 5 6 44050506
+1 0 0 0 0 5 5 7 44050507
+1 0 0 0 0 5 5 8 44050508
+1 0 0 0 0 5 5 9 44050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fyy.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/fyy.xl
new file mode 100644
index 000000000..d268589ad
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy x (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 45000502
+0 0 0 0 0 1 5 2 45010502
+0 0 0 0 0 2 5 2 45020502
+0 0 0 0 0 3 5 2 45030502
+0 0 0 0 0 4 5 2 45040502
+0 0 0 0 0 5 5 2 45050502
+0 0 0 0 0 6 5 2 45060502
+0 0 0 0 0 7 5 2 45070502
+0 0 0 0 0 8 5 2 45080502
+0 0 0 0 0 9 5 2 45090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 45000502
+1 0 0 0 0 1 5 2 45010502
+1 0 0 0 0 2 5 2 45020502
+1 0 0 0 0 3 5 2 45030502
+1 0 0 0 0 4 5 2 45040502
+1 0 0 0 0 5 5 2 45050502
+1 0 0 0 0 6 5 2 45060502
+1 0 0 0 0 7 5 2 45070502
+1 0 0 0 0 8 5 2 45080502
+1 0 0 0 0 9 5 2 45090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fyy.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/fyy.yl
new file mode 100644
index 000000000..f4c8638bd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy y (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 45050002
+0 0 0 0 0 5 1 2 45050102
+0 0 0 0 0 5 2 2 45050202
+0 0 0 0 0 5 3 2 45050302
+0 0 0 0 0 5 4 2 45050402
+0 0 0 0 0 5 5 2 45050502
+0 0 0 0 0 5 6 2 45050602
+0 0 0 0 0 5 7 2 45050702
+0 0 0 0 0 5 8 2 45050802
+0 0 0 0 0 5 9 2 45050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 45050002
+1 0 0 0 0 5 1 2 45050102
+1 0 0 0 0 5 2 2 45050202
+1 0 0 0 0 5 3 2 45050302
+1 0 0 0 0 5 4 2 45050402
+1 0 0 0 0 5 5 2 45050502
+1 0 0 0 0 5 6 2 45050602
+1 0 0 0 0 5 7 2 45050702
+1 0 0 0 0 5 8 2 45050802
+1 0 0 0 0 5 9 2 45050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fyy.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/fyy.zl
new file mode 100644
index 000000000..6810ad5c4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyy z (fyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 45050500
+0 0 0 0 0 5 5 1 45050501
+0 0 0 0 0 5 5 2 45050502
+0 0 0 0 0 5 5 3 45050503
+0 0 0 0 0 5 5 4 45050504
+0 0 0 0 0 5 5 5 45050505
+0 0 0 0 0 5 5 6 45050506
+0 0 0 0 0 5 5 7 45050507
+0 0 0 0 0 5 5 8 45050508
+0 0 0 0 0 5 5 9 45050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 45050503
+1 0 0 0 0 5 5 1 45050502
+1 0 0 0 0 5 5 2 45050502
+1 0 0 0 0 5 5 3 45050503
+1 0 0 0 0 5 5 4 45050504
+1 0 0 0 0 5 5 5 45050505
+1 0 0 0 0 5 5 6 45050506
+1 0 0 0 0 5 5 7 45050507
+1 0 0 0 0 5 5 8 45050508
+1 0 0 0 0 5 5 9 45050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fyz.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/fyz.xl
new file mode 100644
index 000000000..d9da37975
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz x (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 46000502
+0 0 0 0 0 1 5 2 46010502
+0 0 0 0 0 2 5 2 46020502
+0 0 0 0 0 3 5 2 46030502
+0 0 0 0 0 4 5 2 46040502
+0 0 0 0 0 5 5 2 46050502
+0 0 0 0 0 6 5 2 46060502
+0 0 0 0 0 7 5 2 46070502
+0 0 0 0 0 8 5 2 46080502
+0 0 0 0 0 9 5 2 46090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 46000502
+1 0 0 0 0 1 5 2 46010502
+1 0 0 0 0 2 5 2 46020502
+1 0 0 0 0 3 5 2 46030502
+1 0 0 0 0 4 5 2 46040502
+1 0 0 0 0 5 5 2 46050502
+1 0 0 0 0 6 5 2 46060502
+1 0 0 0 0 7 5 2 46070502
+1 0 0 0 0 8 5 2 46080502
+1 0 0 0 0 9 5 2 46090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fyz.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/fyz.yl
new file mode 100644
index 000000000..439d46104
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz y (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 46050002
+0 0 0 0 0 5 1 2 46050102
+0 0 0 0 0 5 2 2 46050202
+0 0 0 0 0 5 3 2 46050302
+0 0 0 0 0 5 4 2 46050402
+0 0 0 0 0 5 5 2 46050502
+0 0 0 0 0 5 6 2 46050602
+0 0 0 0 0 5 7 2 46050702
+0 0 0 0 0 5 8 2 46050802
+0 0 0 0 0 5 9 2 46050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 46050002
+1 0 0 0 0 5 1 2 46050102
+1 0 0 0 0 5 2 2 46050202
+1 0 0 0 0 5 3 2 46050302
+1 0 0 0 0 5 4 2 46050402
+1 0 0 0 0 5 5 2 46050502
+1 0 0 0 0 5 6 2 46050602
+1 0 0 0 0 5 7 2 46050702
+1 0 0 0 0 5 8 2 46050802
+1 0 0 0 0 5 9 2 46050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fyz.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/fyz.zl
new file mode 100644
index 000000000..88664545b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fyz z (fyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 46050500
+0 0 0 0 0 5 5 1 46050501
+0 0 0 0 0 5 5 2 46050502
+0 0 0 0 0 5 5 3 46050503
+0 0 0 0 0 5 5 4 46050504
+0 0 0 0 0 5 5 5 46050505
+0 0 0 0 0 5 5 6 46050506
+0 0 0 0 0 5 5 7 46050507
+0 0 0 0 0 5 5 8 46050508
+0 0 0 0 0 5 5 9 46050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -46050503
+1 0 0 0 0 5 5 1 -46050502
+1 0 0 0 0 5 5 2 46050502
+1 0 0 0 0 5 5 3 46050503
+1 0 0 0 0 5 5 4 46050504
+1 0 0 0 0 5 5 5 46050505
+1 0 0 0 0 5 5 6 46050506
+1 0 0 0 0 5 5 7 46050507
+1 0 0 0 0 5 5 8 46050508
+1 0 0 0 0 5 5 9 46050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fzx.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/fzx.xl
new file mode 100644
index 000000000..166ce0b93
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fzx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx x (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 47000502
+0 0 0 0 0 1 5 2 47010502
+0 0 0 0 0 2 5 2 47020502
+0 0 0 0 0 3 5 2 47030502
+0 0 0 0 0 4 5 2 47040502
+0 0 0 0 0 5 5 2 47050502
+0 0 0 0 0 6 5 2 47060502
+0 0 0 0 0 7 5 2 47070502
+0 0 0 0 0 8 5 2 47080502
+0 0 0 0 0 9 5 2 47090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 47000502
+1 0 0 0 0 1 5 2 47010502
+1 0 0 0 0 2 5 2 47020502
+1 0 0 0 0 3 5 2 47030502
+1 0 0 0 0 4 5 2 47040502
+1 0 0 0 0 5 5 2 47050502
+1 0 0 0 0 6 5 2 47060502
+1 0 0 0 0 7 5 2 47070502
+1 0 0 0 0 8 5 2 47080502
+1 0 0 0 0 9 5 2 47090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fzx.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/fzx.yl
new file mode 100644
index 000000000..d5bd56675
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fzx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx y (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 47050002
+0 0 0 0 0 5 1 2 47050102
+0 0 0 0 0 5 2 2 47050202
+0 0 0 0 0 5 3 2 47050302
+0 0 0 0 0 5 4 2 47050402
+0 0 0 0 0 5 5 2 47050502
+0 0 0 0 0 5 6 2 47050602
+0 0 0 0 0 5 7 2 47050702
+0 0 0 0 0 5 8 2 47050802
+0 0 0 0 0 5 9 2 47050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 47050002
+1 0 0 0 0 5 1 2 47050102
+1 0 0 0 0 5 2 2 47050202
+1 0 0 0 0 5 3 2 47050302
+1 0 0 0 0 5 4 2 47050402
+1 0 0 0 0 5 5 2 47050502
+1 0 0 0 0 5 6 2 47050602
+1 0 0 0 0 5 7 2 47050702
+1 0 0 0 0 5 8 2 47050802
+1 0 0 0 0 5 9 2 47050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fzx.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/fzx.zl
new file mode 100644
index 000000000..6a7aaf327
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fzx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzx z (fzx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 47050500
+0 0 0 0 0 5 5 1 47050501
+0 0 0 0 0 5 5 2 47050502
+0 0 0 0 0 5 5 3 47050503
+0 0 0 0 0 5 5 4 47050504
+0 0 0 0 0 5 5 5 47050505
+0 0 0 0 0 5 5 6 47050506
+0 0 0 0 0 5 5 7 47050507
+0 0 0 0 0 5 5 8 47050508
+0 0 0 0 0 5 5 9 47050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -47050503
+1 0 0 0 0 5 5 1 -47050502
+1 0 0 0 0 5 5 2 47050502
+1 0 0 0 0 5 5 3 47050503
+1 0 0 0 0 5 5 4 47050504
+1 0 0 0 0 5 5 5 47050505
+1 0 0 0 0 5 5 6 47050506
+1 0 0 0 0 5 5 7 47050507
+1 0 0 0 0 5 5 8 47050508
+1 0 0 0 0 5 5 9 47050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fzy.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/fzy.xl
new file mode 100644
index 000000000..67d0795b4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fzy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy x (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 48000502
+0 0 0 0 0 1 5 2 48010502
+0 0 0 0 0 2 5 2 48020502
+0 0 0 0 0 3 5 2 48030502
+0 0 0 0 0 4 5 2 48040502
+0 0 0 0 0 5 5 2 48050502
+0 0 0 0 0 6 5 2 48060502
+0 0 0 0 0 7 5 2 48070502
+0 0 0 0 0 8 5 2 48080502
+0 0 0 0 0 9 5 2 48090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 48000502
+1 0 0 0 0 1 5 2 48010502
+1 0 0 0 0 2 5 2 48020502
+1 0 0 0 0 3 5 2 48030502
+1 0 0 0 0 4 5 2 48040502
+1 0 0 0 0 5 5 2 48050502
+1 0 0 0 0 6 5 2 48060502
+1 0 0 0 0 7 5 2 48070502
+1 0 0 0 0 8 5 2 48080502
+1 0 0 0 0 9 5 2 48090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fzy.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/fzy.yl
new file mode 100644
index 000000000..d4f39f9f5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fzy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy y (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 48050002
+0 0 0 0 0 5 1 2 48050102
+0 0 0 0 0 5 2 2 48050202
+0 0 0 0 0 5 3 2 48050302
+0 0 0 0 0 5 4 2 48050402
+0 0 0 0 0 5 5 2 48050502
+0 0 0 0 0 5 6 2 48050602
+0 0 0 0 0 5 7 2 48050702
+0 0 0 0 0 5 8 2 48050802
+0 0 0 0 0 5 9 2 48050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 48050002
+1 0 0 0 0 5 1 2 48050102
+1 0 0 0 0 5 2 2 48050202
+1 0 0 0 0 5 3 2 48050302
+1 0 0 0 0 5 4 2 48050402
+1 0 0 0 0 5 5 2 48050502
+1 0 0 0 0 5 6 2 48050602
+1 0 0 0 0 5 7 2 48050702
+1 0 0 0 0 5 8 2 48050802
+1 0 0 0 0 5 9 2 48050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fzy.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/fzy.zl
new file mode 100644
index 000000000..23ee48c3d
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fzy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzy z (fzy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 48050500
+0 0 0 0 0 5 5 1 48050501
+0 0 0 0 0 5 5 2 48050502
+0 0 0 0 0 5 5 3 48050503
+0 0 0 0 0 5 5 4 48050504
+0 0 0 0 0 5 5 5 48050505
+0 0 0 0 0 5 5 6 48050506
+0 0 0 0 0 5 5 7 48050507
+0 0 0 0 0 5 5 8 48050508
+0 0 0 0 0 5 5 9 48050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -48050503
+1 0 0 0 0 5 5 1 -48050502
+1 0 0 0 0 5 5 2 48050502
+1 0 0 0 0 5 5 3 48050503
+1 0 0 0 0 5 5 4 48050504
+1 0 0 0 0 5 5 5 48050505
+1 0 0 0 0 5 5 6 48050506
+1 0 0 0 0 5 5 7 48050507
+1 0 0 0 0 5 5 8 48050508
+1 0 0 0 0 5 5 9 48050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fzz.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/fzz.xl
new file mode 100644
index 000000000..ea6d43b75
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz x (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 49000502
+0 0 0 0 0 1 5 2 49010502
+0 0 0 0 0 2 5 2 49020502
+0 0 0 0 0 3 5 2 49030502
+0 0 0 0 0 4 5 2 49040502
+0 0 0 0 0 5 5 2 49050502
+0 0 0 0 0 6 5 2 49060502
+0 0 0 0 0 7 5 2 49070502
+0 0 0 0 0 8 5 2 49080502
+0 0 0 0 0 9 5 2 49090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 49000502
+1 0 0 0 0 1 5 2 49010502
+1 0 0 0 0 2 5 2 49020502
+1 0 0 0 0 3 5 2 49030502
+1 0 0 0 0 4 5 2 49040502
+1 0 0 0 0 5 5 2 49050502
+1 0 0 0 0 6 5 2 49060502
+1 0 0 0 0 7 5 2 49070502
+1 0 0 0 0 8 5 2 49080502
+1 0 0 0 0 9 5 2 49090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fzz.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/fzz.yl
new file mode 100644
index 000000000..4259fdddb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz y (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 49050002
+0 0 0 0 0 5 1 2 49050102
+0 0 0 0 0 5 2 2 49050202
+0 0 0 0 0 5 3 2 49050302
+0 0 0 0 0 5 4 2 49050402
+0 0 0 0 0 5 5 2 49050502
+0 0 0 0 0 5 6 2 49050602
+0 0 0 0 0 5 7 2 49050702
+0 0 0 0 0 5 8 2 49050802
+0 0 0 0 0 5 9 2 49050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 49050002
+1 0 0 0 0 5 1 2 49050102
+1 0 0 0 0 5 2 2 49050202
+1 0 0 0 0 5 3 2 49050302
+1 0 0 0 0 5 4 2 49050402
+1 0 0 0 0 5 5 2 49050502
+1 0 0 0 0 5 6 2 49050602
+1 0 0 0 0 5 7 2 49050702
+1 0 0 0 0 5 8 2 49050802
+1 0 0 0 0 5 9 2 49050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/fzz.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/fzz.zl
new file mode 100644
index 000000000..12f4d1be3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/fzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::fzz z (fzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 49050500
+0 0 0 0 0 5 5 1 49050501
+0 0 0 0 0 5 5 2 49050502
+0 0 0 0 0 5 5 3 49050503
+0 0 0 0 0 5 5 4 49050504
+0 0 0 0 0 5 5 5 49050505
+0 0 0 0 0 5 5 6 49050506
+0 0 0 0 0 5 5 7 49050507
+0 0 0 0 0 5 5 8 49050508
+0 0 0 0 0 5 5 9 49050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 49050503
+1 0 0 0 0 5 5 1 49050502
+1 0 0 0 0 5 5 2 49050502
+1 0 0 0 0 5 5 3 49050503
+1 0 0 0 0 5 5 4 49050504
+1 0 0 0 0 5 5 5 49050505
+1 0 0 0 0 5 5 6 49050506
+1 0 0 0 0 5 5 7 49050507
+1 0 0 0 0 5 5 8 49050508
+1 0 0 0 0 5 5 9 49050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/s.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/s.xl
new file mode 100644
index 000000000..7a04400cd
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/s.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::s x (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 1000502
+0 0 0 0 0 1 5 2 1010502
+0 0 0 0 0 2 5 2 1020502
+0 0 0 0 0 3 5 2 1030502
+0 0 0 0 0 4 5 2 1040502
+0 0 0 0 0 5 5 2 1050502
+0 0 0 0 0 6 5 2 1060502
+0 0 0 0 0 7 5 2 1070502
+0 0 0 0 0 8 5 2 1080502
+0 0 0 0 0 9 5 2 1090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 1000502
+1 0 0 0 0 1 5 2 1010502
+1 0 0 0 0 2 5 2 1020502
+1 0 0 0 0 3 5 2 1030502
+1 0 0 0 0 4 5 2 1040502
+1 0 0 0 0 5 5 2 1050502
+1 0 0 0 0 6 5 2 1060502
+1 0 0 0 0 7 5 2 1070502
+1 0 0 0 0 8 5 2 1080502
+1 0 0 0 0 9 5 2 1090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/s.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/s.yl
new file mode 100644
index 000000000..015f9c174
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/s.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::s y (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 1050002
+0 0 0 0 0 5 1 2 1050102
+0 0 0 0 0 5 2 2 1050202
+0 0 0 0 0 5 3 2 1050302
+0 0 0 0 0 5 4 2 1050402
+0 0 0 0 0 5 5 2 1050502
+0 0 0 0 0 5 6 2 1050602
+0 0 0 0 0 5 7 2 1050702
+0 0 0 0 0 5 8 2 1050802
+0 0 0 0 0 5 9 2 1050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 1050002
+1 0 0 0 0 5 1 2 1050102
+1 0 0 0 0 5 2 2 1050202
+1 0 0 0 0 5 3 2 1050302
+1 0 0 0 0 5 4 2 1050402
+1 0 0 0 0 5 5 2 1050502
+1 0 0 0 0 5 6 2 1050602
+1 0 0 0 0 5 7 2 1050702
+1 0 0 0 0 5 8 2 1050802
+1 0 0 0 0 5 9 2 1050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/s.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/s.zl
new file mode 100644
index 000000000..023100e8a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/s.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::s z (s)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 1050500
+0 0 0 0 0 5 5 1 1050501
+0 0 0 0 0 5 5 2 1050502
+0 0 0 0 0 5 5 3 1050503
+0 0 0 0 0 5 5 4 1050504
+0 0 0 0 0 5 5 5 1050505
+0 0 0 0 0 5 5 6 1050506
+0 0 0 0 0 5 5 7 1050507
+0 0 0 0 0 5 5 8 1050508
+0 0 0 0 0 5 5 9 1050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 1050503
+1 0 0 0 0 5 5 1 1050502
+1 0 0 0 0 5 5 2 1050502
+1 0 0 0 0 5 5 3 1050503
+1 0 0 0 0 5 5 4 1050504
+1 0 0 0 0 5 5 5 1050505
+1 0 0 0 0 5 5 6 1050506
+1 0 0 0 0 5 5 7 1050507
+1 0 0 0 0 5 5 8 1050508
+1 0 0 0 0 5 5 9 1050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/spher3d_r.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/spher3d_r.xl
new file mode 100644
index 000000000..ac37f85d4
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/spher3d_r.xl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 1.36656503687164
+0 0 0 0 0 1 5 2 1.07121426428143
+0 0 0 0 0 2 5 2 0.779422863405995
+0 0 0 0 0 3 5 2 0.49749371855331
+0 0 0 0 0 4 5 2 0.259807621135332
+0 0 0 0 0 5 5 2 0.259807621135332
+0 0 0 0 0 6 5 2 0.49749371855331
+0 0 0 0 0 7 5 2 0.779422863405995
+0 0 0 0 0 8 5 2 1.07121426428143
+0 0 0 0 0 9 5 2 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 1.36656503687164
+1 0 0 0 0 1 5 2 1.07121426428143
+1 0 0 0 0 2 5 2 0.779422863405995
+1 0 0 0 0 3 5 2 0.49749371855331
+1 0 0 0 0 4 5 2 0.259807621135332
+1 0 0 0 0 5 5 2 0.259807621135332
+1 0 0 0 0 6 5 2 0.49749371855331
+1 0 0 0 0 7 5 2 0.779422863405995
+1 0 0 0 0 8 5 2 1.07121426428143
+1 0 0 0 0 9 5 2 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/spher3d_r.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/spher3d_r.yl
new file mode 100644
index 000000000..231a17018
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/spher3d_r.yl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 1.36656503687164
+0 0 0 0 0 5 1 2 1.07121426428143
+0 0 0 0 0 5 2 2 0.779422863405995
+0 0 0 0 0 5 3 2 0.49749371855331
+0 0 0 0 0 5 4 2 0.259807621135332
+0 0 0 0 0 5 5 2 0.259807621135332
+0 0 0 0 0 5 6 2 0.49749371855331
+0 0 0 0 0 5 7 2 0.779422863405995
+0 0 0 0 0 5 8 2 1.07121426428143
+0 0 0 0 0 5 9 2 1.36656503687164
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 1.36656503687164
+1 0 0 0 0 5 1 2 1.07121426428143
+1 0 0 0 0 5 2 2 0.779422863405995
+1 0 0 0 0 5 3 2 0.49749371855331
+1 0 0 0 0 5 4 2 0.259807621135332
+1 0 0 0 0 5 5 2 0.259807621135332
+1 0 0 0 0 5 6 2 0.49749371855331
+1 0 0 0 0 5 7 2 0.779422863405995
+1 0 0 0 0 5 8 2 1.07121426428143
+1 0 0 0 0 5 9 2 1.36656503687164
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/spher3d_r.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/spher3d_r.zl
new file mode 100644
index 000000000..400eb7b81
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/spher3d_r.zl
@@ -0,0 +1,34 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 0.49749371855331
+0 0 0 0 0 5 5 1 0.259807621135332
+0 0 0 0 0 5 5 2 0.259807621135332
+0 0 0 0 0 5 5 3 0.49749371855331
+0 0 0 0 0 5 5 4 0.779422863405995
+0 0 0 0 0 5 5 5 1.07121426428143
+0 0 0 0 0 5 5 6 1.36656503687164
+0 0 0 0 0 5 5 7 1.66358047596141
+0 0 0 0 0 5 5 8 1.9615045245933
+0 0 0 0 0 5 5 9 2.2599778759979
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 0.49749371855331
+1 0 0 0 0 5 5 1 0.259807621135332
+1 0 0 0 0 5 5 2 0.259807621135332
+1 0 0 0 0 5 5 3 0.49749371855331
+1 0 0 0 0 5 5 4 0.779422863405995
+1 0 0 0 0 5 5 5 1.07121426428143
+1 0 0 0 0 5 5 6 1.36656503687164
+1 0 0 0 0 5 5 7 1.66358047596141
+1 0 0 0 0 5 5 8 1.9615045245933
+1 0 0 0 0 5 5 9 2.2599778759979
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/txx.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/txx.xl
new file mode 100644
index 000000000..b7e4ea8ba
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/txx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx x (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 21000502
+0 0 0 0 0 1 5 2 21010502
+0 0 0 0 0 2 5 2 21020502
+0 0 0 0 0 3 5 2 21030502
+0 0 0 0 0 4 5 2 21040502
+0 0 0 0 0 5 5 2 21050502
+0 0 0 0 0 6 5 2 21060502
+0 0 0 0 0 7 5 2 21070502
+0 0 0 0 0 8 5 2 21080502
+0 0 0 0 0 9 5 2 21090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 21000502
+1 0 0 0 0 1 5 2 21010502
+1 0 0 0 0 2 5 2 21020502
+1 0 0 0 0 3 5 2 21030502
+1 0 0 0 0 4 5 2 21040502
+1 0 0 0 0 5 5 2 21050502
+1 0 0 0 0 6 5 2 21060502
+1 0 0 0 0 7 5 2 21070502
+1 0 0 0 0 8 5 2 21080502
+1 0 0 0 0 9 5 2 21090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/txx.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/txx.yl
new file mode 100644
index 000000000..438a399f6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/txx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx y (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 21050002
+0 0 0 0 0 5 1 2 21050102
+0 0 0 0 0 5 2 2 21050202
+0 0 0 0 0 5 3 2 21050302
+0 0 0 0 0 5 4 2 21050402
+0 0 0 0 0 5 5 2 21050502
+0 0 0 0 0 5 6 2 21050602
+0 0 0 0 0 5 7 2 21050702
+0 0 0 0 0 5 8 2 21050802
+0 0 0 0 0 5 9 2 21050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 21050002
+1 0 0 0 0 5 1 2 21050102
+1 0 0 0 0 5 2 2 21050202
+1 0 0 0 0 5 3 2 21050302
+1 0 0 0 0 5 4 2 21050402
+1 0 0 0 0 5 5 2 21050502
+1 0 0 0 0 5 6 2 21050602
+1 0 0 0 0 5 7 2 21050702
+1 0 0 0 0 5 8 2 21050802
+1 0 0 0 0 5 9 2 21050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/txx.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/txx.zl
new file mode 100644
index 000000000..5fc1b3e07
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/txx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txx z (txx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 21050500
+0 0 0 0 0 5 5 1 21050501
+0 0 0 0 0 5 5 2 21050502
+0 0 0 0 0 5 5 3 21050503
+0 0 0 0 0 5 5 4 21050504
+0 0 0 0 0 5 5 5 21050505
+0 0 0 0 0 5 5 6 21050506
+0 0 0 0 0 5 5 7 21050507
+0 0 0 0 0 5 5 8 21050508
+0 0 0 0 0 5 5 9 21050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 21050503
+1 0 0 0 0 5 5 1 21050502
+1 0 0 0 0 5 5 2 21050502
+1 0 0 0 0 5 5 3 21050503
+1 0 0 0 0 5 5 4 21050504
+1 0 0 0 0 5 5 5 21050505
+1 0 0 0 0 5 5 6 21050506
+1 0 0 0 0 5 5 7 21050507
+1 0 0 0 0 5 5 8 21050508
+1 0 0 0 0 5 5 9 21050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/txy.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/txy.xl
new file mode 100644
index 000000000..2278b90e1
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/txy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy x (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 22000502
+0 0 0 0 0 1 5 2 22010502
+0 0 0 0 0 2 5 2 22020502
+0 0 0 0 0 3 5 2 22030502
+0 0 0 0 0 4 5 2 22040502
+0 0 0 0 0 5 5 2 22050502
+0 0 0 0 0 6 5 2 22060502
+0 0 0 0 0 7 5 2 22070502
+0 0 0 0 0 8 5 2 22080502
+0 0 0 0 0 9 5 2 22090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 22000502
+1 0 0 0 0 1 5 2 22010502
+1 0 0 0 0 2 5 2 22020502
+1 0 0 0 0 3 5 2 22030502
+1 0 0 0 0 4 5 2 22040502
+1 0 0 0 0 5 5 2 22050502
+1 0 0 0 0 6 5 2 22060502
+1 0 0 0 0 7 5 2 22070502
+1 0 0 0 0 8 5 2 22080502
+1 0 0 0 0 9 5 2 22090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/txy.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/txy.yl
new file mode 100644
index 000000000..c13cc81d7
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/txy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy y (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 22050002
+0 0 0 0 0 5 1 2 22050102
+0 0 0 0 0 5 2 2 22050202
+0 0 0 0 0 5 3 2 22050302
+0 0 0 0 0 5 4 2 22050402
+0 0 0 0 0 5 5 2 22050502
+0 0 0 0 0 5 6 2 22050602
+0 0 0 0 0 5 7 2 22050702
+0 0 0 0 0 5 8 2 22050802
+0 0 0 0 0 5 9 2 22050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 22050002
+1 0 0 0 0 5 1 2 22050102
+1 0 0 0 0 5 2 2 22050202
+1 0 0 0 0 5 3 2 22050302
+1 0 0 0 0 5 4 2 22050402
+1 0 0 0 0 5 5 2 22050502
+1 0 0 0 0 5 6 2 22050602
+1 0 0 0 0 5 7 2 22050702
+1 0 0 0 0 5 8 2 22050802
+1 0 0 0 0 5 9 2 22050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/txy.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/txy.zl
new file mode 100644
index 000000000..c0dd702cb
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/txy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txy z (txy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 22050500
+0 0 0 0 0 5 5 1 22050501
+0 0 0 0 0 5 5 2 22050502
+0 0 0 0 0 5 5 3 22050503
+0 0 0 0 0 5 5 4 22050504
+0 0 0 0 0 5 5 5 22050505
+0 0 0 0 0 5 5 6 22050506
+0 0 0 0 0 5 5 7 22050507
+0 0 0 0 0 5 5 8 22050508
+0 0 0 0 0 5 5 9 22050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 22050503
+1 0 0 0 0 5 5 1 22050502
+1 0 0 0 0 5 5 2 22050502
+1 0 0 0 0 5 5 3 22050503
+1 0 0 0 0 5 5 4 22050504
+1 0 0 0 0 5 5 5 22050505
+1 0 0 0 0 5 5 6 22050506
+1 0 0 0 0 5 5 7 22050507
+1 0 0 0 0 5 5 8 22050508
+1 0 0 0 0 5 5 9 22050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/txz.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/txz.xl
new file mode 100644
index 000000000..f00e24469
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/txz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz x (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 23000502
+0 0 0 0 0 1 5 2 23010502
+0 0 0 0 0 2 5 2 23020502
+0 0 0 0 0 3 5 2 23030502
+0 0 0 0 0 4 5 2 23040502
+0 0 0 0 0 5 5 2 23050502
+0 0 0 0 0 6 5 2 23060502
+0 0 0 0 0 7 5 2 23070502
+0 0 0 0 0 8 5 2 23080502
+0 0 0 0 0 9 5 2 23090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 23000502
+1 0 0 0 0 1 5 2 23010502
+1 0 0 0 0 2 5 2 23020502
+1 0 0 0 0 3 5 2 23030502
+1 0 0 0 0 4 5 2 23040502
+1 0 0 0 0 5 5 2 23050502
+1 0 0 0 0 6 5 2 23060502
+1 0 0 0 0 7 5 2 23070502
+1 0 0 0 0 8 5 2 23080502
+1 0 0 0 0 9 5 2 23090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/txz.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/txz.yl
new file mode 100644
index 000000000..a3bd867b5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/txz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz y (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 23050002
+0 0 0 0 0 5 1 2 23050102
+0 0 0 0 0 5 2 2 23050202
+0 0 0 0 0 5 3 2 23050302
+0 0 0 0 0 5 4 2 23050402
+0 0 0 0 0 5 5 2 23050502
+0 0 0 0 0 5 6 2 23050602
+0 0 0 0 0 5 7 2 23050702
+0 0 0 0 0 5 8 2 23050802
+0 0 0 0 0 5 9 2 23050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 23050002
+1 0 0 0 0 5 1 2 23050102
+1 0 0 0 0 5 2 2 23050202
+1 0 0 0 0 5 3 2 23050302
+1 0 0 0 0 5 4 2 23050402
+1 0 0 0 0 5 5 2 23050502
+1 0 0 0 0 5 6 2 23050602
+1 0 0 0 0 5 7 2 23050702
+1 0 0 0 0 5 8 2 23050802
+1 0 0 0 0 5 9 2 23050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/txz.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/txz.zl
new file mode 100644
index 000000000..d6a44e761
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/txz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::txz z (txz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 23050500
+0 0 0 0 0 5 5 1 23050501
+0 0 0 0 0 5 5 2 23050502
+0 0 0 0 0 5 5 3 23050503
+0 0 0 0 0 5 5 4 23050504
+0 0 0 0 0 5 5 5 23050505
+0 0 0 0 0 5 5 6 23050506
+0 0 0 0 0 5 5 7 23050507
+0 0 0 0 0 5 5 8 23050508
+0 0 0 0 0 5 5 9 23050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -23050503
+1 0 0 0 0 5 5 1 -23050502
+1 0 0 0 0 5 5 2 23050502
+1 0 0 0 0 5 5 3 23050503
+1 0 0 0 0 5 5 4 23050504
+1 0 0 0 0 5 5 5 23050505
+1 0 0 0 0 5 5 6 23050506
+1 0 0 0 0 5 5 7 23050507
+1 0 0 0 0 5 5 8 23050508
+1 0 0 0 0 5 5 9 23050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/tyy.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/tyy.xl
new file mode 100644
index 000000000..e6d2a0f09
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/tyy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy x (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 24000502
+0 0 0 0 0 1 5 2 24010502
+0 0 0 0 0 2 5 2 24020502
+0 0 0 0 0 3 5 2 24030502
+0 0 0 0 0 4 5 2 24040502
+0 0 0 0 0 5 5 2 24050502
+0 0 0 0 0 6 5 2 24060502
+0 0 0 0 0 7 5 2 24070502
+0 0 0 0 0 8 5 2 24080502
+0 0 0 0 0 9 5 2 24090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 24000502
+1 0 0 0 0 1 5 2 24010502
+1 0 0 0 0 2 5 2 24020502
+1 0 0 0 0 3 5 2 24030502
+1 0 0 0 0 4 5 2 24040502
+1 0 0 0 0 5 5 2 24050502
+1 0 0 0 0 6 5 2 24060502
+1 0 0 0 0 7 5 2 24070502
+1 0 0 0 0 8 5 2 24080502
+1 0 0 0 0 9 5 2 24090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/tyy.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/tyy.yl
new file mode 100644
index 000000000..f3689adbc
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/tyy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy y (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 24050002
+0 0 0 0 0 5 1 2 24050102
+0 0 0 0 0 5 2 2 24050202
+0 0 0 0 0 5 3 2 24050302
+0 0 0 0 0 5 4 2 24050402
+0 0 0 0 0 5 5 2 24050502
+0 0 0 0 0 5 6 2 24050602
+0 0 0 0 0 5 7 2 24050702
+0 0 0 0 0 5 8 2 24050802
+0 0 0 0 0 5 9 2 24050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 24050002
+1 0 0 0 0 5 1 2 24050102
+1 0 0 0 0 5 2 2 24050202
+1 0 0 0 0 5 3 2 24050302
+1 0 0 0 0 5 4 2 24050402
+1 0 0 0 0 5 5 2 24050502
+1 0 0 0 0 5 6 2 24050602
+1 0 0 0 0 5 7 2 24050702
+1 0 0 0 0 5 8 2 24050802
+1 0 0 0 0 5 9 2 24050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/tyy.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/tyy.zl
new file mode 100644
index 000000000..959fbb5a3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/tyy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyy z (tyy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 24050500
+0 0 0 0 0 5 5 1 24050501
+0 0 0 0 0 5 5 2 24050502
+0 0 0 0 0 5 5 3 24050503
+0 0 0 0 0 5 5 4 24050504
+0 0 0 0 0 5 5 5 24050505
+0 0 0 0 0 5 5 6 24050506
+0 0 0 0 0 5 5 7 24050507
+0 0 0 0 0 5 5 8 24050508
+0 0 0 0 0 5 5 9 24050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 24050503
+1 0 0 0 0 5 5 1 24050502
+1 0 0 0 0 5 5 2 24050502
+1 0 0 0 0 5 5 3 24050503
+1 0 0 0 0 5 5 4 24050504
+1 0 0 0 0 5 5 5 24050505
+1 0 0 0 0 5 5 6 24050506
+1 0 0 0 0 5 5 7 24050507
+1 0 0 0 0 5 5 8 24050508
+1 0 0 0 0 5 5 9 24050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/tyz.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/tyz.xl
new file mode 100644
index 000000000..d6075fb0e
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/tyz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz x (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 25000502
+0 0 0 0 0 1 5 2 25010502
+0 0 0 0 0 2 5 2 25020502
+0 0 0 0 0 3 5 2 25030502
+0 0 0 0 0 4 5 2 25040502
+0 0 0 0 0 5 5 2 25050502
+0 0 0 0 0 6 5 2 25060502
+0 0 0 0 0 7 5 2 25070502
+0 0 0 0 0 8 5 2 25080502
+0 0 0 0 0 9 5 2 25090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 25000502
+1 0 0 0 0 1 5 2 25010502
+1 0 0 0 0 2 5 2 25020502
+1 0 0 0 0 3 5 2 25030502
+1 0 0 0 0 4 5 2 25040502
+1 0 0 0 0 5 5 2 25050502
+1 0 0 0 0 6 5 2 25060502
+1 0 0 0 0 7 5 2 25070502
+1 0 0 0 0 8 5 2 25080502
+1 0 0 0 0 9 5 2 25090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/tyz.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/tyz.yl
new file mode 100644
index 000000000..0e370ce86
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/tyz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz y (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 25050002
+0 0 0 0 0 5 1 2 25050102
+0 0 0 0 0 5 2 2 25050202
+0 0 0 0 0 5 3 2 25050302
+0 0 0 0 0 5 4 2 25050402
+0 0 0 0 0 5 5 2 25050502
+0 0 0 0 0 5 6 2 25050602
+0 0 0 0 0 5 7 2 25050702
+0 0 0 0 0 5 8 2 25050802
+0 0 0 0 0 5 9 2 25050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 25050002
+1 0 0 0 0 5 1 2 25050102
+1 0 0 0 0 5 2 2 25050202
+1 0 0 0 0 5 3 2 25050302
+1 0 0 0 0 5 4 2 25050402
+1 0 0 0 0 5 5 2 25050502
+1 0 0 0 0 5 6 2 25050602
+1 0 0 0 0 5 7 2 25050702
+1 0 0 0 0 5 8 2 25050802
+1 0 0 0 0 5 9 2 25050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/tyz.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/tyz.zl
new file mode 100644
index 000000000..c6b21906f
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/tyz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tyz z (tyz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 25050500
+0 0 0 0 0 5 5 1 25050501
+0 0 0 0 0 5 5 2 25050502
+0 0 0 0 0 5 5 3 25050503
+0 0 0 0 0 5 5 4 25050504
+0 0 0 0 0 5 5 5 25050505
+0 0 0 0 0 5 5 6 25050506
+0 0 0 0 0 5 5 7 25050507
+0 0 0 0 0 5 5 8 25050508
+0 0 0 0 0 5 5 9 25050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -25050503
+1 0 0 0 0 5 5 1 -25050502
+1 0 0 0 0 5 5 2 25050502
+1 0 0 0 0 5 5 3 25050503
+1 0 0 0 0 5 5 4 25050504
+1 0 0 0 0 5 5 5 25050505
+1 0 0 0 0 5 5 6 25050506
+1 0 0 0 0 5 5 7 25050507
+1 0 0 0 0 5 5 8 25050508
+1 0 0 0 0 5 5 9 25050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/tzz.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/tzz.xl
new file mode 100644
index 000000000..6a6693415
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/tzz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz x (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 26000502
+0 0 0 0 0 1 5 2 26010502
+0 0 0 0 0 2 5 2 26020502
+0 0 0 0 0 3 5 2 26030502
+0 0 0 0 0 4 5 2 26040502
+0 0 0 0 0 5 5 2 26050502
+0 0 0 0 0 6 5 2 26060502
+0 0 0 0 0 7 5 2 26070502
+0 0 0 0 0 8 5 2 26080502
+0 0 0 0 0 9 5 2 26090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 26000502
+1 0 0 0 0 1 5 2 26010502
+1 0 0 0 0 2 5 2 26020502
+1 0 0 0 0 3 5 2 26030502
+1 0 0 0 0 4 5 2 26040502
+1 0 0 0 0 5 5 2 26050502
+1 0 0 0 0 6 5 2 26060502
+1 0 0 0 0 7 5 2 26070502
+1 0 0 0 0 8 5 2 26080502
+1 0 0 0 0 9 5 2 26090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/tzz.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/tzz.yl
new file mode 100644
index 000000000..284ebfe33
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/tzz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz y (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 26050002
+0 0 0 0 0 5 1 2 26050102
+0 0 0 0 0 5 2 2 26050202
+0 0 0 0 0 5 3 2 26050302
+0 0 0 0 0 5 4 2 26050402
+0 0 0 0 0 5 5 2 26050502
+0 0 0 0 0 5 6 2 26050602
+0 0 0 0 0 5 7 2 26050702
+0 0 0 0 0 5 8 2 26050802
+0 0 0 0 0 5 9 2 26050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 26050002
+1 0 0 0 0 5 1 2 26050102
+1 0 0 0 0 5 2 2 26050202
+1 0 0 0 0 5 3 2 26050302
+1 0 0 0 0 5 4 2 26050402
+1 0 0 0 0 5 5 2 26050502
+1 0 0 0 0 5 6 2 26050602
+1 0 0 0 0 5 7 2 26050702
+1 0 0 0 0 5 8 2 26050802
+1 0 0 0 0 5 9 2 26050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/tzz.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/tzz.zl
new file mode 100644
index 000000000..d83404bd5
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/tzz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::tzz z (tzz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 26050500
+0 0 0 0 0 5 5 1 26050501
+0 0 0 0 0 5 5 2 26050502
+0 0 0 0 0 5 5 3 26050503
+0 0 0 0 0 5 5 4 26050504
+0 0 0 0 0 5 5 5 26050505
+0 0 0 0 0 5 5 6 26050506
+0 0 0 0 0 5 5 7 26050507
+0 0 0 0 0 5 5 8 26050508
+0 0 0 0 0 5 5 9 26050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 26050503
+1 0 0 0 0 5 5 1 26050502
+1 0 0 0 0 5 5 2 26050502
+1 0 0 0 0 5 5 3 26050503
+1 0 0 0 0 5 5 4 26050504
+1 0 0 0 0 5 5 5 26050505
+1 0 0 0 0 5 5 6 26050506
+1 0 0 0 0 5 5 7 26050507
+1 0 0 0 0 5 5 8 26050508
+1 0 0 0 0 5 5 9 26050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/vx.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/vx.xl
new file mode 100644
index 000000000..f94c0a207
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/vx.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 11000502
+0 0 0 0 0 1 5 2 11010502
+0 0 0 0 0 2 5 2 11020502
+0 0 0 0 0 3 5 2 11030502
+0 0 0 0 0 4 5 2 11040502
+0 0 0 0 0 5 5 2 11050502
+0 0 0 0 0 6 5 2 11060502
+0 0 0 0 0 7 5 2 11070502
+0 0 0 0 0 8 5 2 11080502
+0 0 0 0 0 9 5 2 11090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 11000502
+1 0 0 0 0 1 5 2 11010502
+1 0 0 0 0 2 5 2 11020502
+1 0 0 0 0 3 5 2 11030502
+1 0 0 0 0 4 5 2 11040502
+1 0 0 0 0 5 5 2 11050502
+1 0 0 0 0 6 5 2 11060502
+1 0 0 0 0 7 5 2 11070502
+1 0 0 0 0 8 5 2 11080502
+1 0 0 0 0 9 5 2 11090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/vx.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/vx.yl
new file mode 100644
index 000000000..a09629e86
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/vx.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 11050002
+0 0 0 0 0 5 1 2 11050102
+0 0 0 0 0 5 2 2 11050202
+0 0 0 0 0 5 3 2 11050302
+0 0 0 0 0 5 4 2 11050402
+0 0 0 0 0 5 5 2 11050502
+0 0 0 0 0 5 6 2 11050602
+0 0 0 0 0 5 7 2 11050702
+0 0 0 0 0 5 8 2 11050802
+0 0 0 0 0 5 9 2 11050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 11050002
+1 0 0 0 0 5 1 2 11050102
+1 0 0 0 0 5 2 2 11050202
+1 0 0 0 0 5 3 2 11050302
+1 0 0 0 0 5 4 2 11050402
+1 0 0 0 0 5 5 2 11050502
+1 0 0 0 0 5 6 2 11050602
+1 0 0 0 0 5 7 2 11050702
+1 0 0 0 0 5 8 2 11050802
+1 0 0 0 0 5 9 2 11050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/vx.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/vx.zl
new file mode 100644
index 000000000..f9a980e5a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/vx.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 11050500
+0 0 0 0 0 5 5 1 11050501
+0 0 0 0 0 5 5 2 11050502
+0 0 0 0 0 5 5 3 11050503
+0 0 0 0 0 5 5 4 11050504
+0 0 0 0 0 5 5 5 11050505
+0 0 0 0 0 5 5 6 11050506
+0 0 0 0 0 5 5 7 11050507
+0 0 0 0 0 5 5 8 11050508
+0 0 0 0 0 5 5 9 11050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 11050503
+1 0 0 0 0 5 5 1 11050502
+1 0 0 0 0 5 5 2 11050502
+1 0 0 0 0 5 5 3 11050503
+1 0 0 0 0 5 5 4 11050504
+1 0 0 0 0 5 5 5 11050505
+1 0 0 0 0 5 5 6 11050506
+1 0 0 0 0 5 5 7 11050507
+1 0 0 0 0 5 5 8 11050508
+1 0 0 0 0 5 5 9 11050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/vy.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/vy.xl
new file mode 100644
index 000000000..2a77d06ac
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/vy.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 12000502
+0 0 0 0 0 1 5 2 12010502
+0 0 0 0 0 2 5 2 12020502
+0 0 0 0 0 3 5 2 12030502
+0 0 0 0 0 4 5 2 12040502
+0 0 0 0 0 5 5 2 12050502
+0 0 0 0 0 6 5 2 12060502
+0 0 0 0 0 7 5 2 12070502
+0 0 0 0 0 8 5 2 12080502
+0 0 0 0 0 9 5 2 12090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 12000502
+1 0 0 0 0 1 5 2 12010502
+1 0 0 0 0 2 5 2 12020502
+1 0 0 0 0 3 5 2 12030502
+1 0 0 0 0 4 5 2 12040502
+1 0 0 0 0 5 5 2 12050502
+1 0 0 0 0 6 5 2 12060502
+1 0 0 0 0 7 5 2 12070502
+1 0 0 0 0 8 5 2 12080502
+1 0 0 0 0 9 5 2 12090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/vy.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/vy.yl
new file mode 100644
index 000000000..c270e8b15
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/vy.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 12050002
+0 0 0 0 0 5 1 2 12050102
+0 0 0 0 0 5 2 2 12050202
+0 0 0 0 0 5 3 2 12050302
+0 0 0 0 0 5 4 2 12050402
+0 0 0 0 0 5 5 2 12050502
+0 0 0 0 0 5 6 2 12050602
+0 0 0 0 0 5 7 2 12050702
+0 0 0 0 0 5 8 2 12050802
+0 0 0 0 0 5 9 2 12050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 12050002
+1 0 0 0 0 5 1 2 12050102
+1 0 0 0 0 5 2 2 12050202
+1 0 0 0 0 5 3 2 12050302
+1 0 0 0 0 5 4 2 12050402
+1 0 0 0 0 5 5 2 12050502
+1 0 0 0 0 5 6 2 12050602
+1 0 0 0 0 5 7 2 12050702
+1 0 0 0 0 5 8 2 12050802
+1 0 0 0 0 5 9 2 12050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/vy.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/vy.zl
new file mode 100644
index 000000000..5b2cfc59b
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/vy.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 12050500
+0 0 0 0 0 5 5 1 12050501
+0 0 0 0 0 5 5 2 12050502
+0 0 0 0 0 5 5 3 12050503
+0 0 0 0 0 5 5 4 12050504
+0 0 0 0 0 5 5 5 12050505
+0 0 0 0 0 5 5 6 12050506
+0 0 0 0 0 5 5 7 12050507
+0 0 0 0 0 5 5 8 12050508
+0 0 0 0 0 5 5 9 12050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 12050503
+1 0 0 0 0 5 5 1 12050502
+1 0 0 0 0 5 5 2 12050502
+1 0 0 0 0 5 5 3 12050503
+1 0 0 0 0 5 5 4 12050504
+1 0 0 0 0 5 5 5 12050505
+1 0 0 0 0 5 5 6 12050506
+1 0 0 0 0 5 5 7 12050507
+1 0 0 0 0 5 5 8 12050508
+1 0 0 0 0 5 5 9 12050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/vz.xl b/CarpetAttic/Cart3dTest/test/symmetric-z/vz.xl
new file mode 100644
index 000000000..76d749a6a
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/vz.xl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 5 2 13000502
+0 0 0 0 0 1 5 2 13010502
+0 0 0 0 0 2 5 2 13020502
+0 0 0 0 0 3 5 2 13030502
+0 0 0 0 0 4 5 2 13040502
+0 0 0 0 0 5 5 2 13050502
+0 0 0 0 0 6 5 2 13060502
+0 0 0 0 0 7 5 2 13070502
+0 0 0 0 0 8 5 2 13080502
+0 0 0 0 0 9 5 2 13090502
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 5 2 13000502
+1 0 0 0 0 1 5 2 13010502
+1 0 0 0 0 2 5 2 13020502
+1 0 0 0 0 3 5 2 13030502
+1 0 0 0 0 4 5 2 13040502
+1 0 0 0 0 5 5 2 13050502
+1 0 0 0 0 6 5 2 13060502
+1 0 0 0 0 7 5 2 13070502
+1 0 0 0 0 8 5 2 13080502
+1 0 0 0 0 9 5 2 13090502
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/vz.yl b/CarpetAttic/Cart3dTest/test/symmetric-z/vz.yl
new file mode 100644
index 000000000..85d7292d6
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/vz.yl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 0 2 13050002
+0 0 0 0 0 5 1 2 13050102
+0 0 0 0 0 5 2 2 13050202
+0 0 0 0 0 5 3 2 13050302
+0 0 0 0 0 5 4 2 13050402
+0 0 0 0 0 5 5 2 13050502
+0 0 0 0 0 5 6 2 13050602
+0 0 0 0 0 5 7 2 13050702
+0 0 0 0 0 5 8 2 13050802
+0 0 0 0 0 5 9 2 13050902
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 0 2 13050002
+1 0 0 0 0 5 1 2 13050102
+1 0 0 0 0 5 2 2 13050202
+1 0 0 0 0 5 3 2 13050302
+1 0 0 0 0 5 4 2 13050402
+1 0 0 0 0 5 5 2 13050502
+1 0 0 0 0 5 6 2 13050602
+1 0 0 0 0 5 7 2 13050702
+1 0 0 0 0 5 8 2 13050802
+1 0 0 0 0 5 9 2 13050902
+
+
+
diff --git a/CarpetAttic/Cart3dTest/test/symmetric-z/vz.zl b/CarpetAttic/Cart3dTest/test/symmetric-z/vz.zl
new file mode 100644
index 000000000..2431ae181
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/test/symmetric-z/vz.zl
@@ -0,0 +1,34 @@
+# CART3DTEST::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 5 5 0 13050500
+0 0 0 0 0 5 5 1 13050501
+0 0 0 0 0 5 5 2 13050502
+0 0 0 0 0 5 5 3 13050503
+0 0 0 0 0 5 5 4 13050504
+0 0 0 0 0 5 5 5 13050505
+0 0 0 0 0 5 5 6 13050506
+0 0 0 0 0 5 5 7 13050507
+0 0 0 0 0 5 5 8 13050508
+0 0 0 0 0 5 5 9 13050509
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 5 5 0 -13050503
+1 0 0 0 0 5 5 1 -13050502
+1 0 0 0 0 5 5 2 13050502
+1 0 0 0 0 5 5 3 13050503
+1 0 0 0 0 5 5 4 13050504
+1 0 0 0 0 5 5 5 13050505
+1 0 0 0 0 5 5 6 13050506
+1 0 0 0 0 5 5 7 13050507
+1 0 0 0 0 5 5 8 13050508
+1 0 0 0 0 5 5 9 13050509
+
+
+
diff --git a/CarpetAttic/Cart3dTest/utils/cmptest b/CarpetAttic/Cart3dTest/utils/cmptest
new file mode 100755
index 000000000..379c00417
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/utils/cmptest
@@ -0,0 +1,23 @@
+#!/bin/bash
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/utils/cmptest,v 1.5 2001/12/17 13:34:48 schnetter Exp $
+
+# Call this script from the Cactus directory. It compares a Carpet
+# ASCII testsuite output to PUGH ASCII testsuite output.
+
+for suite in $(ls TEST/carpet | grep -v log\$); do
+
+ echo
+ echo "Case: $suite"
+
+ for file in $(ls arrangements/AlphaThorns/Cart3dTest/test/$suite | grep -v CVS | grep -v \.dl\$ | grep -v \.gnuplot\$); do
+
+ paste \
+ <( awk 'NF==2 { print $2; }' arrangements/AlphaThorns/Cart3dTest/test/$suite/$file ) \
+ <( awk 'NF==9 { print $9; }' TEST/carpet/$suite/$file ) \
+ | awk 'function abs(x) { return x>0?x:-x; } { diff=abs(($1-$2)/(abs($1)+abs($2)+1e-10))**2; if (diff>1e-10) { ++cnt; print l+0,$1,$2,diff; ++l; } } END { if (cnt>0) print "File '$file'",cnt+0,"differing lines"; }'
+
+ done
+
+done
+
+echo "Done."
diff --git a/CarpetAttic/Cart3dTest/utils/mptest b/CarpetAttic/Cart3dTest/utils/mptest
new file mode 100755
index 000000000..d6a7f25d3
--- /dev/null
+++ b/CarpetAttic/Cart3dTest/utils/mptest
@@ -0,0 +1,32 @@
+#!/bin/bash
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetAttic/Cart3dTest/utils/mptest,v 1.5 2001/12/17 13:34:48 schnetter Exp $
+
+# Call this script from the Cactus directory. It compares a Carpet
+# ASCII testsuite outputs from runs with different numbers of
+# processors.
+
+for suite in $(ls TEST/carpet | grep -v log\$); do
+
+ echo
+ echo "Case: $suite"
+
+ for file in $(ls arrangements/Carpet/Cart3dTest/test/$suite | grep -v CVS | grep -v \.dl\$ | grep -v \.gnuplot\$); do
+
+ paste \
+ <( awk 'NF==9 { print $1,$6,$7,$8,$9; }' arrangements/Carpet/Cart3dTest/test/$suite/$file |
+ sort -n -k 1,4 |
+ uniq |
+ awk '{ print $5; }'
+ ) \
+ <( awk 'NF==9 { print $1,$6,$7,$8,$9; }' TEST/carpet/$suite/$file |
+ sort -n -k 1,4 |
+ uniq |
+ awk '{ print $5; }'
+ ) \
+ | awk 'function abs(x) { return x>0?x:-x; } { diff=abs(($1-$2)/(abs($1)+abs($2)+1e-10)); if (diff>1e-10) { ++cnt; print l+0,$1,$2,diff; ++l; } } END { if (cnt>0) print "File '$file'",cnt+0,"differing lines"; }'
+
+ done
+
+done
+
+echo "Done."
diff --git a/CarpetDev/COPYING b/CarpetDev/COPYING
new file mode 100644
index 000000000..1942c4334
--- /dev/null
+++ b/CarpetDev/COPYING
@@ -0,0 +1,341 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 59 Temple Place - Suite 330
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+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
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+software--to make sure the software is free for all its users. This
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+
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+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
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+ (at your option) any later version.
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+ This is free software, and you are welcome to redistribute it
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+
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+ `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+ <signature of Ty Coon>, 1 April 1989
+ Ty Coon, President of Vice
+
+This General Public License does not permit incorporating your program into
+proprietary programs. If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library. If this is what you want to do, use the GNU Library General
+Public License instead of this License.
diff --git a/CarpetDev/CarpetCG/README b/CarpetDev/CarpetCG/README
new file mode 100644
index 000000000..5c55ee24d
--- /dev/null
+++ b/CarpetDev/CarpetCG/README
@@ -0,0 +1,14 @@
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetDev/CarpetCG/README,v 1.1.1.1 2003/11/19 10:40:47 hawke Exp $
+
+Cactus Code Thorn CarpetCG
+Thorn Author(s) : Ian Hawke <hawke@aei.mpg.de>
+ : Erik Schnetter <eschnett@aei.mpg.de>
+Thorn Maintainer(s) : Ian Hawke <hawke@aei.mpg.de>
+ : Erik Schnetter <eschnett@aei.mpg.de>
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+A conjugate gradient elliptic solver for Carpet using the TAT
+interface. Essentially a straight modification of TATCG using
+TATJacobi as a template.
diff --git a/CarpetDev/CarpetCG/doc/documentation.tex b/CarpetDev/CarpetCG/doc/documentation.tex
new file mode 100644
index 000000000..8f45346ef
--- /dev/null
+++ b/CarpetDev/CarpetCG/doc/documentation.tex
@@ -0,0 +1,144 @@
+% *======================================================================*
+% Cactus Thorn template for ThornGuide documentation
+% Author: Ian Kelley
+% Date: Sun Jun 02, 2002
+% $Header: /home/eschnett/C/carpet/Carpet/CarpetDev/CarpetCG/doc/documentation.tex,v 1.1.1.1 2003/11/19 10:40:47 hawke Exp $
+%
+% Thorn documentation in the latex file doc/documentation.tex
+% will be included in ThornGuides built with the Cactus make system.
+% The scripts employed by the make system automatically include
+% pages about variables, parameters and scheduling parsed from the
+% relevant thorn CCL files.
+%
+% This template contains guidelines which help to assure that your
+% documentation will be correctly added to ThornGuides. More
+% information is available in the Cactus UsersGuide.
+%
+% Guidelines:
+% - Do not change anything before the line
+% % START CACTUS THORNGUIDE",
+% except for filling in the title, author, date, etc. fields.
+% - Each of these fields should only be on ONE line.
+% - Author names should be separated with a \\ or a comma.
+% - You can define your own macros, but they must appear after
+% the START CACTUS THORNGUIDE line, and must not redefine standard
+% latex commands.
+% - To avoid name clashes with other thorns, 'labels', 'citations',
+% 'references', and 'image' names should conform to the following
+% convention:
+% ARRANGEMENT_THORN_LABEL
+% For example, an image wave.eps in the arrangement CactusWave and
+% thorn WaveToyC should be renamed to CactusWave_WaveToyC_wave.eps
+% - Graphics should only be included using the graphicx package.
+% More specifically, with the "\includegraphics" command. Do
+% not specify any graphic file extensions in your .tex file. This
+% will allow us to create a PDF version of the ThornGuide
+% via pdflatex.
+% - References should be included with the latex "\bibitem" command.
+% - Use \begin{abstract}...\end{abstract} instead of \abstract{...}
+% - Do not use \appendix, instead include any appendices you need as
+% standard sections.
+% - For the benefit of our Perl scripts, and for future extensions,
+% please use simple latex.
+%
+% *======================================================================*
+%
+% Example of including a graphic image:
+% \begin{figure}[ht]
+% \begin{center}
+% \includegraphics[width=6cm]{MyArrangement_MyThorn_MyFigure}
+% \end{center}
+% \caption{Illustration of this and that}
+% \label{MyArrangement_MyThorn_MyLabel}
+% \end{figure}
+%
+% Example of using a label:
+% \label{MyArrangement_MyThorn_MyLabel}
+%
+% Example of a citation:
+% \cite{MyArrangement_MyThorn_Author99}
+%
+% Example of including a reference
+% \bibitem{MyArrangement_MyThorn_Author99}
+% {J. Author, {\em The Title of the Book, Journal, or periodical}, 1 (1999),
+% 1--16. {\tt http://www.nowhere.com/}}
+%
+% *======================================================================*
+
+% If you are using CVS use this line to give version information
+% $Header: /home/eschnett/C/carpet/Carpet/CarpetDev/CarpetCG/doc/documentation.tex,v 1.1.1.1 2003/11/19 10:40:47 hawke Exp $
+
+\documentclass{article}
+
+% Use the Cactus ThornGuide style file
+% (Automatically used from Cactus distribution, if you have a
+% thorn without the Cactus Flesh download this from the Cactus
+% homepage at www.cactuscode.org)
+\usepackage{../../../../doc/latex/cactus}
+
+\begin{document}
+
+% The author of the documentation
+\author{Ian Hawke \textless hawke@aei.mpg.de\textgreater \\ Erik Schnetter \textless eschnett@aei.mpg.de\textgreater}
+
+% The title of the document (not necessarily the name of the Thorn)
+\title{}
+
+% the date your document was last changed, if your document is in CVS,
+% please use:
+% \date{$ $Date: 2003/11/19 10:40:47 $ $}
+\date{November 16 2003}
+
+\maketitle
+
+% Do not delete next line
+% START CACTUS THORNGUIDE
+
+% Add all definitions used in this documentation here
+% \def\mydef etc
+
+% Add an abstract for this thorn's documentation
+\begin{abstract}
+
+\end{abstract}
+
+% The following sections are suggestive only.
+% Remove them or add your own.
+
+\section{Introduction}
+
+\section{Physical System}
+
+\section{Numerical Implementation}
+
+\section{Using This Thorn}
+
+\subsection{Obtaining This Thorn}
+
+\subsection{Basic Usage}
+
+\subsection{Special Behaviour}
+
+\subsection{Interaction With Other Thorns}
+
+\subsection{Examples}
+
+\subsection{Support and Feedback}
+
+\section{History}
+
+\subsection{Thorn Source Code}
+
+\subsection{Thorn Documentation}
+
+\subsection{Acknowledgements}
+
+
+\begin{thebibliography}{9}
+
+\end{thebibliography}
+
+% Do not delete next line
+% END CACTUS THORNGUIDE
+
+\end{document}
diff --git a/CarpetDev/CarpetCG/interface.ccl b/CarpetDev/CarpetCG/interface.ccl
new file mode 100644
index 000000000..0f1eaa6e4
--- /dev/null
+++ b/CarpetDev/CarpetCG/interface.ccl
@@ -0,0 +1,12 @@
+# Interface definition for thorn CarpetCG
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetDev/CarpetCG/interface.ccl,v 1.1.1.1 2003/11/19 10:40:47 hawke Exp $
+
+implements: CarpetCG
+inherits: TATelliptic
+
+USES INCLUDE HEADER: carpet.hh
+USES INCLUDE HEADER: TATelliptic.h
+
+real prsvars[cg_maxsolvevars] TYPE=GF Timelevels=1 tags='Prolongation="None"'
+
+real dirvars[cg_maxsolvevars] TYPE=GF Timelevels=1 tags='Prolongation="None"'
diff --git a/CarpetDev/CarpetCG/param.ccl b/CarpetDev/CarpetCG/param.ccl
new file mode 100644
index 000000000..93c0c4ff2
--- /dev/null
+++ b/CarpetDev/CarpetCG/param.ccl
@@ -0,0 +1,25 @@
+# Parameter definitions for thorn CarpetCG
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetDev/CarpetCG/param.ccl,v 1.1.1.1 2003/11/19 10:40:47 hawke Exp $
+
+BOOLEAN verbose "Produce log output while running" STEERABLE=always
+{
+} "no"
+
+BOOLEAN veryverbose "Produce much log output while running" STEERABLE=always
+{
+} "no"
+
+CCTK_INT outevery "Produce output every n iterations" STEERABLE=always
+{
+ 1:* :: ""
+} 1
+
+CCTK_INT outeveryseconds "Produce output every n seconds" STEERABLE=always
+{
+ 0:* :: ""
+} 10
+
+CCTK_INT cg_maxsolvevars "Maximum number of variables to solve"
+{
+ 0:* :: "Controls the temporary memory allocation"
+} 4
diff --git a/CarpetDev/CarpetCG/schedule.ccl b/CarpetDev/CarpetCG/schedule.ccl
new file mode 100644
index 000000000..dd5c9505b
--- /dev/null
+++ b/CarpetDev/CarpetCG/schedule.ccl
@@ -0,0 +1,10 @@
+# Schedule definitions for thorn CarpetCG
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetDev/CarpetCG/schedule.ccl,v 1.1.1.1 2003/11/19 10:40:47 hawke Exp $
+
+STORAGE: prsvars
+STORAGE: dirvars
+
+SCHEDULE CarpetCG_register AT startup
+{
+ LANG: C
+} "Register the elliptic solver"
diff --git a/CarpetDev/CarpetCG/src/CG.cc b/CarpetDev/CarpetCG/src/CG.cc
new file mode 100644
index 000000000..e27e465be
--- /dev/null
+++ b/CarpetDev/CarpetCG/src/CG.cc
@@ -0,0 +1,1240 @@
+/* $Header: /home/eschnett/C/carpet/Carpet/CarpetDev/CarpetCG/src/CG.cc,v 1.4 2004/01/25 14:57:28 schnetter Exp $ */
+
+#include <cassert>
+#include <cmath>
+#include <cstdio>
+#include <ctime>
+#include <iostream>
+#include <vector>
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+
+#include "util_ErrorCodes.h"
+#include "util_Table.h"
+
+#include "carpet.hh"
+#include "TATelliptic.h"
+
+namespace Carpet {
+ // TODO: fix this
+ void Restrict (const cGH* cgh);
+};
+
+
+
+namespace CarpetCG {
+
+ using namespace std;
+ using namespace Carpet;
+
+
+ extern "C" {
+ void CarpetCG_register ();
+ }
+
+ int CarpetCG_solve (const cGH * const cctkGH,
+ const int * const var,
+ const int * const res,
+ const int nvars,
+ const int options_table,
+ const calcfunc calcres,
+ const calcfunc applybnds,
+ void * const userdata);
+
+ namespace common {
+
+ const int * var;
+ const int * res;
+ int nvars;
+ int options_table;
+ calcfunc calcres;
+ calcfunc applybnds;
+ void * userdata;
+
+ int ierr;
+
+ vector<int> nboundaryzones(2*dim);
+
+ CCTK_REAL factor;
+ vector<CCTK_REAL> factors;
+
+ vector<int> fromindex; // Can't pass things through CallLocalFunction.
+ vector<int> toindex; // Instead assume everything is going from a GF to a GF.
+
+ CCTK_REAL realconstant; // With only one required constant
+ CCTK_REAL realoutput; // And one output
+ CCTK_REAL realoutput_count; // And one _more_ output
+
+ void call_calcres (cGH * const cctkGH)
+ {
+ if (ierr) return;
+ ierr = calcres (cctkGH, options_table, userdata);
+ }
+
+ void call_applybnds (cGH * const cctkGH)
+ {
+ if (ierr) return;
+ ierr = applybnds (cctkGH, options_table, userdata);
+ }
+
+ void
+ global_sum (cGH const * restrict const cctkGH,
+ CCTK_REAL * restrict const var)
+ {
+ static int initialised = 0;
+ static int sum_handle;
+
+ CCTK_REAL local, global;
+
+ int ierr;
+
+ if (! initialised) {
+ initialised = 1;
+ sum_handle = CCTK_ReductionArrayHandle ("sum");
+ assert (sum_handle >= 0);
+ }
+
+ local = *var;
+ ierr = CCTK_ReduceLocScalar
+ (cctkGH, -1, sum_handle, &local, &global, CCTK_VARIABLE_REAL);
+ assert (!ierr);
+ *var = global;
+ }
+
+ // Copy
+ void call_copy (cGH * const cctkGH)
+ {
+
+ cGroup groupdata;
+ ierr = CCTK_GroupData (CCTK_GroupIndexFromVarI(var[0]), &groupdata);
+ assert (!ierr);
+ cGroupDynamicData groupdyndata;
+ ierr = CCTK_GroupDynamicData (cctkGH, CCTK_GroupIndexFromVarI(var[0]),
+ &groupdyndata);
+ assert (!ierr);
+ const int thedim = groupdata.dim;
+ assert (thedim>=0 && thedim<=dim);
+ assert (thedim == groupdyndata.dim);
+ int lsh[dim], nghostzones[dim];
+ for (int d=0; d<thedim; ++d) {
+ lsh[d] = groupdyndata.lsh[d];
+ nghostzones[d] = groupdyndata.nghostzones[d];
+ }
+ for (int d=thedim; d<dim; ++d) {
+ lsh[d] = 1;
+ nghostzones[d] = 0;
+ }
+ for (int d=0; d<dim; ++d) {
+ assert (lsh[d]>=0);
+ assert (nghostzones[d] >= 0 && 2*nghostzones[d] <= lsh[d]);
+ }
+
+ int const lsize = lsh[0] * lsh[1] * lsh[2];
+ int n;
+ double chksum=0;
+ double chksum2=0;
+
+ for (n=0; n<nvars; ++n) {
+ CCTK_REAL * dst = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0, toindex[n]);
+ CCTK_REAL * src = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0, fromindex[n]);
+ // cout << "Copy indices " << toindex[n] << " (" << CCTK_VarName(toindex[n]) << ") " << fromindex[n] << " (" << CCTK_VarName(fromindex[n]) << ") " << endl;
+
+ memcpy (dst, src, lsize * sizeof (*dst));
+ for (int k=0; k<lsh[2];++k){
+ for (int j=0; j<lsh[2];++j){
+ for (int i=0; i<lsh[2];++i){
+ int ind = i + lsh[0] * (j + lsh[1] * k);
+ chksum+=dst[ind];
+ chksum2+=src[ind];
+ }
+ }
+ }
+ // cout << "copied " << chksum << " " << chksum2 << endl;
+
+ }
+ }
+
+ //Correct residual sign
+ void call_correct_residual_sign (cGH * const cctkGH)
+ {
+
+ cGroup groupdata;
+ ierr = CCTK_GroupData (CCTK_GroupIndexFromVarI(var[0]), &groupdata);
+ assert (!ierr);
+ cGroupDynamicData groupdyndata;
+ ierr = CCTK_GroupDynamicData (cctkGH, CCTK_GroupIndexFromVarI(var[0]),
+ &groupdyndata);
+ assert (!ierr);
+ const int thedim = groupdata.dim;
+ assert (thedim>=0 && thedim<=dim);
+ assert (thedim == groupdyndata.dim);
+ int lsh[dim], nghostzones[dim], bbox[2*dim];
+ int lbnd[dim], ubnd[dim];
+ for (int d=0; d<thedim; ++d) {
+ lsh[d] = groupdyndata.lsh[d];
+ nghostzones[d] = groupdyndata.nghostzones[d];
+ bbox[2*d] = groupdyndata.bbox[2*d];
+ bbox[2*d+1] = groupdyndata.bbox[2*d+1];
+ }
+ for (int d=thedim; d<dim; ++d) {
+ lsh[d] = 1;
+ nghostzones[d] = 0;
+ bbox[2*d] = groupdyndata.bbox[2*d];
+ bbox[2*d+1] = groupdyndata.bbox[2*d+1];
+ }
+ for (int d=0; d<dim; ++d) {
+ assert (lsh[d]>=0);
+ assert (nghostzones[d] >= 0 && 2*nghostzones[d] <= lsh[d]);
+ }
+ for (int d=0; d<dim; ++d) {
+ lbnd[d] =
+ (bbox[2*d ] ?
+ ( (nboundaryzones[2*d]>=0) ? nboundaryzones[2*d] : nghostzones[d])
+ : nghostzones[d]);
+ ubnd[d] = lsh[d] -
+ (bbox[2*d+1] ?
+ ( (nboundaryzones[2*d+1]>=0) ? nboundaryzones[2*d+1] : nghostzones[d])
+ : nghostzones[d]);
+ }
+
+ int const lsize = lsh[0] * lsh[1] * lsh[2];
+ int n;
+ int i, j, k;
+ int ind;
+
+ for (n=0; n<nvars; ++n) {
+ CCTK_REAL * src = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0, fromindex[n]);
+ for (k=lbnd[2]; k<ubnd[2]; ++k) {
+ for (j=lbnd[1]; j<ubnd[1]; ++j) {
+ for (i=lbnd[0]; i<ubnd[0]; ++i) {
+ ind = i + lsh[0] * (j + lsh[1] * k);
+ src[ind] *= copysign(1.0, factors[n]);
+ }
+ }
+ }
+ }
+ }
+
+
+ // ``Precondition''. Ha ha ha.
+ void call_apply_preconditioner (cGH * const cctkGH)
+ {
+
+ cGroup groupdata;
+ ierr = CCTK_GroupData (CCTK_GroupIndexFromVarI(var[0]), &groupdata);
+ assert (!ierr);
+ cGroupDynamicData groupdyndata;
+ ierr = CCTK_GroupDynamicData (cctkGH, CCTK_GroupIndexFromVarI(var[0]),
+ &groupdyndata);
+ assert (!ierr);
+ const int thedim = groupdata.dim;
+ assert (thedim>=0 && thedim<=dim);
+ assert (thedim == groupdyndata.dim);
+ int lsh[dim], nghostzones[dim], bbox[2*dim];
+ int lbnd[dim], ubnd[dim];
+ for (int d=0; d<thedim; ++d) {
+ lsh[d] = groupdyndata.lsh[d];
+ nghostzones[d] = groupdyndata.nghostzones[d];
+ bbox[2*d] = groupdyndata.bbox[2*d];
+ bbox[2*d+1] = groupdyndata.bbox[2*d+1];
+ }
+ for (int d=thedim; d<dim; ++d) {
+ lsh[d] = 1;
+ nghostzones[d] = 0;
+ bbox[2*d] = groupdyndata.bbox[2*d];
+ bbox[2*d+1] = groupdyndata.bbox[2*d+1];
+ }
+ for (int d=0; d<dim; ++d) {
+ assert (lsh[d]>=0);
+ assert (nghostzones[d] >= 0 && 2*nghostzones[d] <= lsh[d]);
+ }
+ for (int d=0; d<dim; ++d) {
+ lbnd[d] =
+ (bbox[2*d ] ?
+ ( (nboundaryzones[2*d]>=0) ? nboundaryzones[2*d] : nghostzones[d])
+ : nghostzones[d]);
+ ubnd[d] = lsh[d] -
+ (bbox[2*d+1] ?
+ ( (nboundaryzones[2*d+1]>=0) ? nboundaryzones[2*d+1] : nghostzones[d])
+ : nghostzones[d]);
+ }
+
+ int const lsize = lsh[0] * lsh[1] * lsh[2];
+ int n;
+ int i, j, k;
+ int ind;
+
+ for (n=0; n<nvars; ++n) {
+ CCTK_REAL * dst = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0, toindex[n]);
+ CCTK_REAL * src = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0, fromindex[n]);
+ for (k=lbnd[2]; k<ubnd[2]; ++k) {
+ for (j=lbnd[1]; j<ubnd[1]; ++j) {
+ for (i=lbnd[0]; i<ubnd[0]; ++i) {
+ ind = i + lsh[0] * (j + lsh[1] * k);
+ dst[ind] = factor * fabs(factors[n]) * src[ind];
+ }
+ }
+ }
+ }
+ }
+
+
+ // Add scaled
+ void call_add_scaled (cGH * const cctkGH)
+ {
+
+ cGroup groupdata;
+ ierr = CCTK_GroupData (CCTK_GroupIndexFromVarI(var[0]), &groupdata);
+ assert (!ierr);
+ cGroupDynamicData groupdyndata;
+ ierr = CCTK_GroupDynamicData (cctkGH, CCTK_GroupIndexFromVarI(var[0]),
+ &groupdyndata);
+ assert (!ierr);
+ const int thedim = groupdata.dim;
+ assert (thedim>=0 && thedim<=dim);
+ assert (thedim == groupdyndata.dim);
+ int lsh[dim], nghostzones[dim], bbox[2*dim];
+ int lbnd[dim], ubnd[dim];
+ for (int d=0; d<thedim; ++d) {
+ lsh[d] = groupdyndata.lsh[d];
+ nghostzones[d] = groupdyndata.nghostzones[d];
+ bbox[2*d] = groupdyndata.bbox[2*d];
+ bbox[2*d+1] = groupdyndata.bbox[2*d+1];
+ }
+ for (int d=thedim; d<dim; ++d) {
+ lsh[d] = 1;
+ nghostzones[d] = 0;
+ bbox[2*d] = groupdyndata.bbox[2*d];
+ bbox[2*d+1] = groupdyndata.bbox[2*d+1];
+ }
+ for (int d=thedim; d<dim; ++d) {
+ lsh[d] = 1;
+ nghostzones[d] = 0;
+ bbox[2*d] = groupdyndata.bbox[2*d];
+ bbox[2*d+1] = groupdyndata.bbox[2*d+1];
+ }
+ for (int d=0; d<dim; ++d) {
+ assert (lsh[d]>=0);
+ assert (nghostzones[d] >= 0 && 2*nghostzones[d] <= lsh[d]);
+ }
+ for (int d=0; d<dim; ++d) {
+ lbnd[d] =
+ (bbox[2*d ] ?
+ ( (nboundaryzones[2*d]>=0) ? nboundaryzones[2*d] : nghostzones[d])
+ : nghostzones[d]);
+ ubnd[d] = lsh[d] -
+ (bbox[2*d+1] ?
+ ( (nboundaryzones[2*d+1]>=0) ? nboundaryzones[2*d+1] : nghostzones[d])
+ : nghostzones[d]);
+ }
+
+ int n;
+ int i, j, k;
+ int ind;
+
+ CCTK_REAL const alpha = realconstant;
+ double chksum=0;
+ double chksum2=0;
+
+ for (n=0; n<nvars; ++n) {
+ CCTK_REAL * src = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0, fromindex[n]);
+ CCTK_REAL * dst = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0, toindex[n]);
+ // cout << "Indices " << toindex[n] << " (" << CCTK_VarName(toindex[n]) << ") " << fromindex[n] << " (" << CCTK_VarName(fromindex[n]) << ") " << endl;
+ for (k=lbnd[2]; k<ubnd[2]; ++k) {
+ for (j=lbnd[1]; j<ubnd[1]; ++j) {
+ for (i=lbnd[0]; i<ubnd[0]; ++i) {
+ ind = i + lsh[0] * (j + lsh[1] * k);
+ dst[ind] += alpha * src[ind];
+ chksum+= dst[ind];
+ chksum2+= src[ind];
+
+ }
+ }
+ }
+ }
+ // cout << "add scaled " << alpha << " " << chksum << " " << chksum2 << endl;
+
+ }
+
+
+
+ // Scale and add
+ void call_scale_and_add (cGH * const cctkGH)
+ {
+
+ cGroup groupdata;
+ ierr = CCTK_GroupData (CCTK_GroupIndexFromVarI(var[0]), &groupdata);
+ assert (!ierr);
+ cGroupDynamicData groupdyndata;
+ ierr = CCTK_GroupDynamicData (cctkGH, CCTK_GroupIndexFromVarI(var[0]),
+ &groupdyndata);
+ assert (!ierr);
+ const int thedim = groupdata.dim;
+ assert (thedim>=0 && thedim<=dim);
+ assert (thedim == groupdyndata.dim);
+ int lsh[dim], nghostzones[dim], bbox[2*dim];
+ int lbnd[dim], ubnd[dim];
+ for (int d=0; d<thedim; ++d) {
+ lsh[d] = groupdyndata.lsh[d];
+ nghostzones[d] = groupdyndata.nghostzones[d];
+ bbox[2*d] = groupdyndata.bbox[2*d];
+ bbox[2*d+1] = groupdyndata.bbox[2*d+1];
+ }
+ for (int d=thedim; d<dim; ++d) {
+ lsh[d] = 1;
+ nghostzones[d] = 0;
+ bbox[2*d] = groupdyndata.bbox[2*d];
+ bbox[2*d+1] = groupdyndata.bbox[2*d+1];
+ }
+ for (int d=0; d<dim; ++d) {
+ assert (lsh[d]>=0);
+ assert (nghostzones[d] >= 0 && 2*nghostzones[d] <= lsh[d]);
+ }
+ for (int d=0; d<dim; ++d) {
+ lbnd[d] =
+ (bbox[2*d ] ?
+ ( (nboundaryzones[2*d]>=0) ? nboundaryzones[2*d] : nghostzones[d])
+ : nghostzones[d]);
+ ubnd[d] = lsh[d] -
+ (bbox[2*d+1] ?
+ ( (nboundaryzones[2*d+1]>=0) ? nboundaryzones[2*d+1] : nghostzones[d])
+ : nghostzones[d]);
+ }
+
+
+ int n;
+ int i, j, k;
+ int ind;
+
+ CCTK_REAL const alpha = realconstant;
+
+ for (n=0; n<nvars; ++n) {
+ CCTK_REAL * src = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0, fromindex[n]);
+ CCTK_REAL * dst = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0, toindex[n]);
+ for (k=lbnd[2]; k<ubnd[2]; ++k) {
+ for (j=lbnd[1]; j<ubnd[1]; ++j) {
+ for (i=lbnd[0]; i<ubnd[0]; ++i) {
+ ind = i + lsh[0] * (j + lsh[1] * k);
+ dst[ind] = alpha * dst[ind] + src[ind];
+ }
+ }
+ }
+ }
+ }
+
+ // Dot product
+ void call_dot_product (cGH * const cctkGH)
+ {
+
+ cGroup groupdata;
+ ierr = CCTK_GroupData (CCTK_GroupIndexFromVarI(var[0]), &groupdata);
+ assert (!ierr);
+ cGroupDynamicData groupdyndata;
+ ierr = CCTK_GroupDynamicData (cctkGH, CCTK_GroupIndexFromVarI(var[0]),
+ &groupdyndata);
+ assert (!ierr);
+ const int thedim = groupdata.dim;
+ assert (thedim>=0 && thedim<=dim);
+ assert (thedim == groupdyndata.dim);
+ int lsh[dim], nghostzones[dim], bbox[2*dim];
+ int lbnd[dim], ubnd[dim];
+ for (int d=0; d<thedim; ++d) {
+ lsh[d] = groupdyndata.lsh[d];
+ nghostzones[d] = groupdyndata.nghostzones[d];
+ bbox[2*d] = groupdyndata.bbox[2*d];
+ bbox[2*d+1] = groupdyndata.bbox[2*d+1];
+ }
+ for (int d=thedim; d<dim; ++d) {
+ lsh[d] = 1;
+ nghostzones[d] = 0;
+ bbox[2*d] = groupdyndata.bbox[2*d];
+ bbox[2*d+1] = groupdyndata.bbox[2*d+1];
+ }
+ for (int d=0; d<dim; ++d) {
+ assert (lsh[d]>=0);
+ assert (nghostzones[d] >= 0 && 2*nghostzones[d] <= lsh[d]);
+ }
+ for (int d=0; d<dim; ++d) {
+ lbnd[d] =
+ (bbox[2*d ] ?
+ ( (nboundaryzones[2*d]>=0) ? nboundaryzones[2*d] : nghostzones[d])
+ : nghostzones[d]);
+ ubnd[d] = lsh[d] -
+ (bbox[2*d+1] ?
+ ( (nboundaryzones[2*d+1]>=0) ? nboundaryzones[2*d+1] : nghostzones[d])
+ : nghostzones[d]);
+ }
+
+ int n;
+ int i, j, k;
+ int ind;
+ CCTK_REAL res;
+
+ double chksum=0;
+ double chksum2=0;
+
+ res = 0;
+ realoutput_count=0;
+
+ // Shift the count to here instead - what a waste of space
+ for (k=0; k<lsh[2]; ++k) {
+ for (j=0; j<lsh[1]; ++j) {
+ for (i=0; i<lsh[0]; ++i) {
+ realoutput_count++;
+ }
+ }
+ }
+
+ for (n=0; n<nvars; ++n) {
+ CCTK_REAL * a = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0, toindex[n]);
+ CCTK_REAL * b = (CCTK_REAL*)CCTK_VarDataPtrI(cctkGH, 0, fromindex[n]);
+ // cout << "Indices " << toindex[n] << " (" << CCTK_VarName(toindex[n]) << ") " << fromindex[n] << " (" << CCTK_VarName(fromindex[n]) << ") " << endl;
+ // cout << "Pointers " << a << " " << b << endl;
+
+ for (k=lbnd[2]; k<ubnd[2]; ++k) {
+ for (j=lbnd[1]; j<ubnd[1]; ++j) {
+ for (i=lbnd[0]; i<ubnd[0]; ++i) {
+ ind = i + lsh[0] * (j + lsh[1] * k);
+ res += (a[ind]) * (b[ind]);
+ chksum += a[ind];
+ chksum2 += b[ind];
+ }
+ }
+ }
+ }
+// cout << "before ("
+// << lbnd[0] << ","
+// << lbnd[1] << ","
+// << lbnd[2] << "), ("
+// << ubnd[0] << ","
+// << ubnd[1] << ","
+// << ubnd[2] << "): "
+// << res << " " << chksum << "," << chksum2 << endl;
+ global_sum (cctkGH, &res);
+ // cout << "after: " << res << endl;
+ realoutput = res;
+
+ }
+
+
+ } // namespace common
+
+
+ // Register this solver
+ void CarpetCG_register ()
+ {
+ int const ierr = TATelliptic_RegisterSolver
+ (CarpetCG_solve, "CarpetCG");
+ assert (!ierr);
+ }
+
+
+
+ // Solve
+ int
+ CarpetCG_solve (cGH const * restrict const cctkGH,
+ int const * restrict const var,
+ int const * restrict const res,
+ int const nvars,
+ int const options_table,
+ calcfunc const calcres,
+ calcfunc const applybounds,
+ void * const userdata)
+ {
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ // Domain descriptors
+ cGroup groupdata;
+ cGroupDynamicData groupdyndata;
+ int gsh[dim], lsh[dim], nghostzones[dim], bbox[2*dim];
+ int lbnd[dim], ubnd[dim];
+
+ // Options
+
+ CCTK_INT maxiters;
+ CCTK_INT maxiters2;
+ CCTK_INT smaxiters;
+ CCTK_REAL stepsize;
+ CCTK_REAL maxstepsize;
+ CCTK_REAL minerror;
+ CCTK_REAL sminerror;
+
+ int iter;
+ int iter2;
+ int siter;
+
+ int do_abort;
+
+ CCTK_REAL alpha; // secant step size
+ CCTK_REAL alpha_old, sum_alpha;
+ CCTK_REAL beta; // CG step size
+ CCTK_REAL delta_0; // initial A-norm of residual
+ CCTK_REAL delta_new, delta_d, delta_old, delta_mid;
+ CCTK_REAL epsilon; // norm of residual
+ CCTK_REAL eta, eta_prev;
+
+ time_t nexttime, currenttime;
+
+ CCTK_REAL gsize; // global grid size (no. points as real)
+
+ int n, nn;
+ int d, f;
+
+ int nelems;
+ int ierr;
+
+ // Security check
+ if (! CCTK_IsThornActive(CCTK_THORNSTRING)) {
+ CCTK_WARN (0, "Thorn " CCTK_THORNSTRING " has not been activated. It is therefore not possible to call CarpetCG_solve.");
+ }
+
+
+ // Check arguments
+ assert (cctkGH);
+
+ assert (nvars > 0);
+ assert (var);
+ assert (res);
+ for (n=0; n<nvars; ++n) {
+ assert (var[n] >= 0 && var[n] < CCTK_NumVars());
+ assert (CCTK_GroupTypeFromVarI(var[n]) == CCTK_GF
+ || CCTK_GroupTypeFromVarI(var[n]) == CCTK_ARRAY);
+ assert (CCTK_GroupDimFromVarI(var[n]) <= dim);
+ assert (CCTK_VarTypeI(var[n]) == CCTK_VARIABLE_REAL);
+ assert (CCTK_QueryGroupStorageI(cctkGH, CCTK_GroupIndexFromVarI(var[n])));
+ }
+ for (n=0; n<nvars; ++n) {
+ assert (res[n] >= 0 && res[n] < CCTK_NumVars());
+ assert (CCTK_GroupTypeFromVarI(res[n]) == CCTK_GF
+ || CCTK_GroupTypeFromVarI(res[n]) == CCTK_ARRAY);
+ assert (CCTK_GroupDimFromVarI(res[n]) <= dim);
+ assert (CCTK_VarTypeI(res[n]) == CCTK_VARIABLE_REAL);
+ assert (CCTK_QueryGroupStorageI(cctkGH, CCTK_GroupIndexFromVarI(res[n])));
+ }
+ for (n=0; n<nvars; ++n) {
+ assert (var[n] != res[n]);
+ for (nn=0; nn<n; ++nn) {
+ assert (var[nn] != var[n]);
+ assert (var[nn] != res[n]);
+ assert (res[nn] != var[n]);
+ assert (res[nn] != res[n]);
+ }
+ }
+
+ assert (options_table >= 0);
+
+ assert (calcres);
+ assert (applybounds);
+
+ nelems = Util_TableGetIntArray
+ (options_table, 2*dim, &(common::nboundaryzones[0]), "nboundaryzones");
+ if (nelems == UTIL_ERROR_TABLE_NO_SUCH_KEY) {
+ for (d=0; d<dim; ++d) {
+ common::nboundaryzones[2*d ] = -1;
+ common::nboundaryzones[2*d+1] = -1;
+ }
+ } else if (nelems != 2*dim) {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Options table key \"nboundaryzones\" is not an integer array of length %d", 2*dim);
+ return -1;
+ }
+
+ (common::fromindex).reserve(cg_maxsolvevars);
+ (common::toindex).reserve(cg_maxsolvevars);
+ (common::factors).reserve(nvars);
+ common::factor = 0.5;
+ for (int i = 0; i < nvars; i++)
+ {
+ common::factors[i] = 1.0;
+ }
+
+ maxiters = 1000;
+ maxiters2 = 1000;
+ minerror = 1.0e-8;
+ smaxiters = 10;
+ sminerror = 1.0e-4;
+ stepsize = 1.0e-6;
+ maxstepsize = 1.0;
+
+ ierr = Util_TableGetInt (options_table, &maxiters, "maxiters");
+ assert (ierr==1 || ierr == UTIL_ERROR_TABLE_NO_SUCH_KEY);
+ ierr = Util_TableGetInt (options_table, &maxiters2, "maxiters2");
+ assert (ierr==1 || ierr == UTIL_ERROR_TABLE_NO_SUCH_KEY);
+ ierr = Util_TableGetInt (options_table, &smaxiters, "smaxiters");
+ assert (ierr==1 || ierr == UTIL_ERROR_TABLE_NO_SUCH_KEY);
+ ierr = Util_TableGetReal (options_table, &minerror, "minerror");
+ assert (ierr==1 || ierr == UTIL_ERROR_TABLE_NO_SUCH_KEY);
+ ierr = Util_TableGetReal (options_table, &sminerror, "sminerror");
+ assert (ierr==1 || ierr == UTIL_ERROR_TABLE_NO_SUCH_KEY);
+ ierr = Util_TableGetReal (options_table, &stepsize, "stepsize");
+ assert (ierr==1 || ierr == UTIL_ERROR_TABLE_NO_SUCH_KEY);
+ ierr = Util_TableGetReal (options_table, &maxstepsize, "maxstepsize");
+ assert (ierr==1 || ierr == UTIL_ERROR_TABLE_NO_SUCH_KEY);
+
+ assert (maxiters >= 0);
+ assert (maxiters2 >= 0);
+ assert (smaxiters >= 0);
+ assert (minerror >= 0);
+ assert (sminerror >= 0);
+ assert (stepsize > 0);
+
+ // Switch to global mode
+ BEGIN_GLOBAL_MODE(cctkGH) {
+
+ // Fill common block
+ common::var = var;
+ common::res = res;
+ common::nvars = nvars;
+ common::options_table = options_table;
+ common::calcres = calcres;
+ common::applybnds = applybounds;
+ common::userdata = userdata;
+
+ if (verbose || veryverbose) {
+ CCTK_VInfo (CCTK_THORNSTRING,
+ "Solving through nonlinear conjugate gradient iterations");
+ }
+
+
+
+ /*
+ * Literature:
+ *
+ * Jonathan Richard Shewchuk, "An Introduction to the Conjugate
+ * Gradient Method Without the Agonizing Pain", Technical Report
+ * CMU-CS-94-125, Aug. 1994
+ *
+ * Available from http://www-2.cs.cmu.edu/~jrs/jrspapers.html
+ */
+
+ /*
+ * Notation:
+ *
+ * here there meaning
+ *
+ * iter i current cg iteration
+ * siter j current secant iteration
+ * iter2 k current cg iteration since last restart
+ * maxiters2 n PARA cg iterations before restart
+ * alpha secant step size
+ * beta cg step size
+ * delta cg distance
+ * epsilon PARA secant error tolerance (straight epsilon)
+ * minerror vareps PARA cg error tolerance (curved epsilon)
+ * eta secant distance
+ * stepsize sigma PARA secand method step parameter
+ *
+ * dir d cg direction
+ * -calcres f' PARA nonlinear operator
+ * res r cg residual
+ * prs s preconditioned cg residual
+ * var x INIT unknown variable
+ *
+ * -wgt M preconditioning matrix (not in this version)
+ */
+
+ /*
+ * Algorithm:
+ * (Preconditioned nonlinear conjugate gradients with secant and
+ * Polak-Ribière)
+ *
+ * 01. i <= 0
+ * 02. k <= 0
+ * 03. r <= - f'(x)
+ * 04. calculate M \approx f''(x)
+ * 05. s <= M^-1 r
+ * 06. d <= s
+ * 07. delta_new <= r^T d
+ * 08. delta_0 <= delta_new
+ * 09. WHILE i < i_max AND delta_new > vareps^2 delta_0 DO
+ * 10. j <= 0
+ * 11. delta_d <= d^T d
+ * 12. alpha <= - sigma_0
+ * 13. eta_prev <= [f'(x + sigma_0 d)]^T d
+ * 14. DO
+ * 15. eta <= [f'(x)]^T d
+ * 16. alpha <= alpha (eta) / (eta_prev - eta)
+ * 17. x <= x + alpha d
+ * 18. eta_prev <= eta
+ * 19. j <= j + 1
+ * 20. WHILE j < j_max AND alpha^2 delta_d > epsilon^2
+ * 21. r <= - f'(x)
+ * 22. delta_old <= delta_new
+ * 23. delta_mid <= r^T s
+ * 24. calculate M \approx f''(x)
+ * 25. s <= M^-1 r
+ * 26. delta_new <= r^T s
+ * 27. beta <= (delta_new - delta_mid) / (delta_old)
+ * 28. k <= k + 1
+ * 29. IF k = n OR beta <= 0 THEN
+ * 30. d <= s
+ * 31. k <= 0
+ * 32. ELSE
+ * 33. d <= s + beta d
+ * 34. i <= i + 1
+ */
+
+
+ // Pointers to grid variables and temporary storage
+ vector<int> varptrs(nvars);
+ vector<int> resptrs(nvars);
+ // CCTK_REAL * restrict * restrict prsptrs;
+ // CCTK_REAL * restrict * restrict dirptrs;
+
+ // Get storage pointers
+ for (n=0; n<nvars; ++n) {
+ varptrs[n] = var[n];
+ resptrs[n] = res[n];
+ }
+
+ // Allocate temporary memory
+ // prsptrs = malloc (nvars * sizeof *prsptrs);
+ // dirptrs = malloc (nvars * sizeof *prsptrs);
+ assert (cg_maxsolvevars >= nvars);
+ vector<int> prsptrs(cg_maxsolvevars);
+ vector<int> dirptrs(cg_maxsolvevars);
+ for (n=0; n<nvars; ++n) {
+ char varname[1000];
+ sprintf(varname,"CarpetCG::prsvars[%d]",n);
+ prsptrs[n] = CCTK_VarIndex(varname);
+ assert ((prsptrs[n] >= 0)&&(prsptrs[n] < CCTK_NumVars()));
+ sprintf(varname,"CarpetCG::dirvars[%d]",n);
+ dirptrs[n] = CCTK_VarIndex(varname);
+ assert ((dirptrs[n] >= 0)&&(dirptrs[n] < CCTK_NumVars()));
+ }
+
+
+
+ nexttime = time(0);
+
+ /* 01. i <= 0 */
+ iter = 0;
+
+ /* 02. k <= 0 */
+ iter2 = 0;
+
+ /* 03. r <= - f'(x) */
+ /* 04. calculate M \approx f''(x) */
+ common::ierr = 0;
+ CallLocalFunction((cGH *)cctkGH, common::call_calcres);
+ ierr = common::ierr;
+ assert (! ierr);
+
+ for (int n = 0; n < nvars; n++) {
+ common::fromindex[n] = resptrs[n];
+ }
+ for (int n = nvars; n < cg_maxsolvevars; n++) {
+ common::fromindex[n] = -1;
+ }
+ CallLocalFunction((cGH *)cctkGH, common::call_correct_residual_sign);
+
+ /* 05. s <= M^-1 r */
+ // No preconditioning
+ for (int n = 0; n < nvars; n++) {
+ common::fromindex[n] = resptrs[n];
+ common::toindex[n] = prsptrs[n];
+ }
+ for (int n = nvars; n < cg_maxsolvevars; n++) {
+ common::fromindex[n] = -1;
+ common::toindex[n] = -1;
+ }
+
+ // cout << "dirptrs " << dirptrs[0] << endl;
+
+ CallLocalFunction((cGH *)cctkGH, common::call_apply_preconditioner);
+
+ // cout << "dirptrs " << dirptrs[0] << endl;
+
+ /* 06. d <= s */
+ for (int n = 0; n < nvars; n++) {
+ common::fromindex[n] = prsptrs[n];
+ common::toindex[n] = dirptrs[n];
+ }
+ for (int n = nvars; n < cg_maxsolvevars; n++) {
+ common::fromindex[n] = -1;
+ common::toindex[n] = -1;
+ }
+
+ // cout << "dirptrs " << dirptrs[0] << endl;
+
+ CallLocalFunction((cGH *)cctkGH, common::call_copy);
+
+ // cout << "dirptrs " << dirptrs[0] << endl;
+
+ /* 07. delta_new <= r^T d */
+ // output (cctkGH, var, res, wgt, nvars, iter);
+ common::realoutput_count = 0;
+ for (int n = 0; n < nvars; n++) {
+ common::fromindex[n] = prsptrs[n];
+ common::toindex[n] = resptrs[n];
+ }
+ for (int n = nvars; n < cg_maxsolvevars; n++) {
+ common::fromindex[n] = -1;
+ common::toindex[n] = -1;
+ }
+
+ // cout << "dirptrs " << dirptrs[0] << endl;
+
+ CallLocalFunction((cGH *)cctkGH, common::call_dot_product);
+ delta_new = common::realoutput;
+ gsize = common::realoutput_count;
+ // cout << "delta_new " << delta_new << " gsize " << gsize << endl;
+
+ for (int n = 0; n < nvars; n++) {
+ common::fromindex[n] = resptrs[n];
+ common::toindex[n] = resptrs[n];
+ }
+ for (int n = nvars; n < cg_maxsolvevars; n++) {
+ common::fromindex[n] = -1;
+ common::toindex[n] = -1;
+ }
+
+ CallLocalFunction((cGH *)cctkGH, common::call_dot_product);
+ epsilon = common::realoutput;
+ // cout << "epsilon " << epsilon << endl;
+
+ /* 08. delta_0 <= delta_new */
+ delta_0 = delta_new;
+
+ /* 09. WHILE i < i_max AND delta_new > vareps^2 delta_0 DO */
+ while (iter < maxiters && epsilon / (nvars * gsize) > pow(minerror,2)) {
+
+ if (verbose || veryverbose) {
+ currenttime = time(0);
+ if (veryverbose || (iter % outevery == 0 && currenttime >= nexttime)) {
+ CCTK_VInfo (CCTK_THORNSTRING,
+ "Iteration %d (%d since restart): residual is %g (%g,%d,%g)",
+ iter, iter2, (double)sqrt(epsilon / (nvars * gsize)),epsilon,nvars,gsize);
+ if (outeveryseconds > 0) {
+ while (nexttime <= currenttime) nexttime += outeveryseconds;
+ }
+ }
+ }
+
+ /* 10. j <= 0 */
+ siter = 0;
+
+ /* 11. delta_d <= d^T d */
+ for (int n = 0; n < nvars; n++) {
+ common::fromindex[n] = dirptrs[n];
+ common::toindex[n] = dirptrs[n];
+ }
+ for (int n = nvars; n < cg_maxsolvevars; n++) {
+ common::fromindex[n] = -1;
+ common::toindex[n] = -1;
+ }
+
+ CallLocalFunction((cGH *)cctkGH, common::call_dot_product);
+ delta_d = common::realoutput;
+
+ // cout << "delta_d " << delta_d << endl;
+
+ /* 12. alpha <= - sigma_0 */
+ alpha = - stepsize;
+ sum_alpha = alpha;
+ do_abort = 0;
+
+ /* 13. eta_prev <= [f'(x + sigma_0 d)]^T d */
+ for (int n = 0; n < nvars; n++) {
+ common::fromindex[n] = dirptrs[n];
+ common::toindex[n] = varptrs[n];
+ }
+ for (int n = nvars; n < cg_maxsolvevars; n++) {
+ common::fromindex[n] = -1;
+ common::toindex[n] = -1;
+ }
+ common::realconstant = -alpha;
+ // cout << "Add scaled, const " << -alpha << endl;
+
+ CallLocalFunction((cGH *)cctkGH, common::call_add_scaled);
+ common::ierr = 0;
+ CallLocalFunction((cGH *)cctkGH, common::call_applybnds);
+ assert (! ierr);
+
+ ierr = 0;
+ CallLocalFunction((cGH *)cctkGH, common::call_calcres);
+ assert (! ierr);
+
+ for (int n = 0; n < nvars; n++) {
+ common::fromindex[n] = resptrs[n];
+ }
+ for (int n = nvars; n < cg_maxsolvevars; n++) {
+ common::fromindex[n] = -1;
+ }
+ CallLocalFunction((cGH *)cctkGH, common::call_correct_residual_sign);
+
+ for (int n = 0; n < nvars; n++) {
+ common::fromindex[n] = dirptrs[n];
+ common::toindex[n] = resptrs[n];
+ }
+ for (int n = nvars; n < cg_maxsolvevars; n++) {
+ common::fromindex[n] = -1;
+ common::toindex[n] = -1;
+ }
+ CallLocalFunction((cGH *)cctkGH, common::call_dot_product);
+ eta = - common::realoutput;
+
+ // cout << "eta " << eta << endl;
+
+ for (int n = 0; n < nvars; n++) {
+ common::fromindex[n] = dirptrs[n];
+ common::toindex[n] = varptrs[n];
+ }
+ for (int n = nvars; n < cg_maxsolvevars; n++) {
+ common::fromindex[n] = -1;
+ common::toindex[n] = -1;
+ }
+ common::realconstant = alpha;
+ // cout << "Add scaled, const " << alpha << endl;
+
+ CallLocalFunction((cGH *)cctkGH, common::call_add_scaled);
+ ierr = 0;
+ CallLocalFunction((cGH *)cctkGH, common::call_applybnds);
+ assert (! ierr);
+
+ eta_prev = eta;
+
+ /* 14. DO */
+ do {
+
+ if (veryverbose) {
+ CCTK_VInfo
+ (CCTK_THORNSTRING,
+ " Secant iteration %d: step size is %g, orthogonality is %g",
+ siter,
+ (double)alpha, (double)sqrt(fabs(eta_prev) / (nvars * gsize)));
+ }
+
+ /* 15. eta <= [f'(x)]^T d */
+ ierr = 0;
+ CallLocalFunction((cGH *)cctkGH, common::call_calcres);
+ assert (! ierr);
+
+ for (int n = 0; n < nvars; n++) {
+ common::fromindex[n] = resptrs[n];
+ }
+ for (int n = nvars; n < cg_maxsolvevars; n++) {
+ common::fromindex[n] = -1;
+ }
+ CallLocalFunction((cGH *)cctkGH, common::call_correct_residual_sign);
+
+ for (int n = 0; n < nvars; n++) {
+ common::fromindex[n] = dirptrs[n];
+ common::toindex[n] = resptrs[n];
+ }
+ for (int n = nvars; n < cg_maxsolvevars; n++) {
+ common::fromindex[n] = -1;
+ common::toindex[n] = -1;
+ }
+
+ CallLocalFunction((cGH *)cctkGH, common::call_dot_product);
+ eta = - common::realoutput;
+
+ // cout << "eta " << eta << endl;
+
+ /* 16. alpha <= alpha (eta) / (eta_prev - eta) */
+ alpha_old = alpha;
+ alpha *= eta / (eta_prev - eta);
+ sum_alpha += alpha;
+ if (veryverbose) {
+ CCTK_VInfo
+ (CCTK_THORNSTRING,
+ " Changing step size, iteration %d: was %g, now %g (%g, %g)",
+ siter, alpha_old, alpha, eta, eta_prev);
+ }
+ assert (sum_alpha > - maxstepsize);
+ if (sum_alpha > maxstepsize) {
+ alpha = maxstepsize - alpha_old;
+ do_abort = 1;
+ if (verbose) {
+ CCTK_VInfo
+ (CCTK_THORNSTRING,
+ " Secant iteration %d: limiting total step size", siter);
+ }
+ }
+
+ /* 17. x <= x + alpha d */
+
+ for (int n = 0; n < nvars; n++) {
+ common::fromindex[n] = dirptrs[n];
+ common::toindex[n] = varptrs[n];
+ }
+ for (int n = nvars; n < cg_maxsolvevars; n++) {
+ common::fromindex[n] = -1;
+ common::toindex[n] = -1;
+ }
+ common::realconstant = alpha;
+ // cout << "Add scaled, const " << alpha << endl;
+
+ CallLocalFunction((cGH *)cctkGH, common::call_add_scaled);
+ ierr = 0;
+ CallLocalFunction((cGH *)cctkGH, common::call_applybnds);
+ assert (! ierr);
+
+ /* 18. eta_prev <= eta */
+ eta_prev = eta;
+
+ /* 19. j <= j + 1 */
+ ++ siter;
+
+ /* 20. WHILE j < j_max AND alpha^2 delta_d > epsilon^2 */
+ } while (siter < smaxiters
+ && pow(alpha,2) * delta_d > pow(sminerror,2)
+ && !do_abort);
+
+ if (veryverbose) {
+ CCTK_VInfo
+ (CCTK_THORNSTRING,
+ " Secant iteration %d: step size is %g, orthogonality is %g",
+ siter,
+ (double)alpha, (double)sqrt(fabs(eta_prev) / (nvars * gsize)));
+ }
+
+ /* 21. r <= - f'(x) */
+ /* 24. calculate M \approx f''(x) */
+ ierr = 0;
+ CallLocalFunction((cGH *)cctkGH, common::call_calcres);
+ assert (! ierr);
+
+ for (int n = 0; n < nvars; n++) {
+ common::fromindex[n] = resptrs[n];
+ }
+ for (int n = nvars; n < cg_maxsolvevars; n++) {
+ common::fromindex[n] = -1;
+ }
+ CallLocalFunction((cGH *)cctkGH, common::call_correct_residual_sign);
+
+ /* 23. delta_mid <= r^T s */
+ for (int n = 0; n < nvars; n++) {
+ common::fromindex[n] = prsptrs[n];
+ common::toindex[n] = resptrs[n];
+ }
+ for (int n = nvars; n < cg_maxsolvevars; n++) {
+ common::fromindex[n] = -1;
+ common::toindex[n] = -1;
+ }
+
+ CallLocalFunction((cGH *)cctkGH, common::call_dot_product);
+ delta_mid = common::realoutput;
+ // cout << "delta_mid " << delta_mid << endl;
+
+ /* 25. s <= M^-1 r */
+ for (int n = 0; n < nvars; n++) {
+ common::fromindex[n] = resptrs[n];
+ common::toindex[n] = prsptrs[n];
+ }
+ for (int n = nvars; n < cg_maxsolvevars; n++) {
+ common::fromindex[n] = -1;
+ common::toindex[n] = -1;
+ }
+
+ CallLocalFunction((cGH *)cctkGH, common::call_apply_preconditioner);
+
+ /* 22. delta_old <= delta_new */
+ delta_old = delta_new;
+
+ /* 26. delta_new <= r^T s */
+ // output (cctkGH, var, res, wgt, nvars, iter+1);
+ for (int n = 0; n < nvars; n++) {
+ common::fromindex[n] = prsptrs[n];
+ common::toindex[n] = resptrs[n];
+ }
+ for (int n = nvars; n < cg_maxsolvevars; n++) {
+ common::fromindex[n] = -1;
+ common::toindex[n] = -1;
+ }
+
+ CallLocalFunction((cGH *)cctkGH, common::call_dot_product);
+ delta_new = common::realoutput;
+ // cout << "delta_new " << delta_new << endl;
+
+ for (int n = 0; n < nvars; n++) {
+ common::fromindex[n] = resptrs[n];
+ common::toindex[n] = resptrs[n];
+ }
+ for (int n = nvars; n < cg_maxsolvevars; n++) {
+ common::fromindex[n] = -1;
+ common::toindex[n] = -1;
+ }
+
+ CallLocalFunction((cGH *)cctkGH, common::call_dot_product);
+ epsilon = common::realoutput;
+ // cout << "epsilon " << epsilon << endl;
+
+ /* 27. beta <= (delta_new - delta_mid) / (delta_old) */
+ beta = (delta_new - delta_mid) / delta_old;
+
+ /* 28. k <= k + 1 */
+ ++ iter2;
+
+ /* 29. IF k = n OR beta <= 0 THEN */
+ if (iter2 >= maxiters2 || beta <= 0 || do_abort) {
+ /* Restart */
+
+ /* 30. d <= s */
+ for (int n = 0; n < nvars; n++) {
+ common::fromindex[n] = prsptrs[n];
+ common::toindex[n] = dirptrs[n];
+ }
+ for (int n = nvars; n < cg_maxsolvevars; n++) {
+ common::fromindex[n] = -1;
+ common::toindex[n] = -1;
+ }
+ CallLocalFunction((cGH *)cctkGH, common::call_copy);
+
+ /* 31. k <= 0 */
+ iter2 = 0;
+
+ /* 32. ELSE */
+ } else {
+ /* Continue with CG iterations */
+
+ /* 33. d <= s + beta d */
+ for (int n = 0; n < nvars; n++) {
+ common::fromindex[n] = prsptrs[n];
+ common::toindex[n] = dirptrs[n];
+ }
+ for (int n = nvars; n < cg_maxsolvevars; n++) {
+ common::fromindex[n] = -1;
+ common::toindex[n] = -1;
+ }
+ common::realconstant = beta;
+ // cout << "beta " << beta << endl;
+
+ CallLocalFunction((cGH *)cctkGH, common::call_scale_and_add);
+
+ } /* if iter2 */
+
+ /* 34. i <= i + 1 */
+ ++ iter;
+
+ } /* for iter */
+
+ if (verbose || veryverbose) {
+ CCTK_VInfo (CCTK_THORNSTRING,
+ "Iteration %d (%d since restart): residual is %g",
+ iter, iter2, (double)sqrt(epsilon / (nvars * gsize)));
+ }
+
+ /* Free temporary memory */
+ // for (n=0; n<nvars; ++n) {
+ // free (prsptrs[n]);
+ // free (dirptrs[n]);
+ // }
+
+ // free (varptrs);
+ // free (resptrs);
+ // free (prsptrs);
+ // free (dirptrs);
+
+ } END_GLOBAL_MODE;
+
+ return 0;
+ }
+
+} // namespace CarpetCG
+
+
diff --git a/CarpetDev/CarpetCG/src/make.code.defn b/CarpetDev/CarpetCG/src/make.code.defn
new file mode 100644
index 000000000..3db692761
--- /dev/null
+++ b/CarpetDev/CarpetCG/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn CarpetCG
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetDev/CarpetCG/src/make.code.defn,v 1.1.1.1 2003/11/19 10:40:47 hawke Exp $
+
+# Source files in this directory
+SRCS = CG.cc
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/CarpetDev/CarpetJacobi/README b/CarpetDev/CarpetJacobi/README
new file mode 100644
index 000000000..74967b13f
--- /dev/null
+++ b/CarpetDev/CarpetJacobi/README
@@ -0,0 +1,11 @@
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetDev/CarpetJacobi/README,v 1.1 2003/09/02 14:35:57 schnetter Exp $
+
+Cactus Code Thorn CarpetJacobi
+Thorn Author(s) : Erik Schnetter <schnetter@uni-tuebingen.de>
+Thorn Maintainer(s) : Erik Schnetter <schnetter@uni-tuebingen.de>
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+Solve an elliptic equation using Jacobi iterations with varying step
+size.
diff --git a/CarpetDev/CarpetJacobi/doc/documentation.tex b/CarpetDev/CarpetJacobi/doc/documentation.tex
new file mode 100644
index 000000000..11d9ffd8d
--- /dev/null
+++ b/CarpetDev/CarpetJacobi/doc/documentation.tex
@@ -0,0 +1,144 @@
+% *======================================================================*
+% Cactus Thorn template for ThornGuide documentation
+% Author: Ian Kelley
+% Date: Sun Jun 02, 2002
+% $Header: /home/eschnett/C/carpet/Carpet/CarpetDev/CarpetJacobi/doc/documentation.tex,v 1.1 2003/09/02 14:35:57 schnetter Exp $
+%
+% Thorn documentation in the latex file doc/documentation.tex
+% will be included in ThornGuides built with the Cactus make system.
+% The scripts employed by the make system automatically include
+% pages about variables, parameters and scheduling parsed from the
+% relevant thorn CCL files.
+%
+% This template contains guidelines which help to assure that your
+% documentation will be correctly added to ThornGuides. More
+% information is available in the Cactus UsersGuide.
+%
+% Guidelines:
+% - Do not change anything before the line
+% % START CACTUS THORNGUIDE",
+% except for filling in the title, author, date etc. fields.
+% - Each of these fields should only be on ONE line.
+% - Author names should be separated with a \\ or a comma
+% - You can define your own macros, but they must appear after
+% the START CACTUS THORNGUIDE line, and must not redefine standard
+% latex commands.
+% - To avoid name clashes with other thorns, 'labels', 'citations',
+% 'references', and 'image' names should conform to the following
+% convention:
+% ARRANGEMENT_THORN_LABEL
+% For example, an image wave.eps in the arrangement CactusWave and
+% thorn WaveToyC should be renamed to CactusWave_WaveToyC_wave.eps
+% - Graphics should only be included using the graphicx package.
+% More specifically, with the "\includegraphics" command. Do
+% not specify any graphic file extensions in your .tex file. This
+% will allow us (later) to create a PDF version of the ThornGuide
+% via pdflatex.
+% - References should be included with the latex "\bibitem" command.
+% - Use \begin{abstract}...\end{abstract} instead of \abstract{...}
+% - Do not use \appendix, instead include any appendices you need as
+% standard sections.
+% - For the benefit of our Perl scripts, and for future extensions,
+% please use simple latex.
+%
+% *======================================================================*
+%
+% Example of including a graphic image:
+% \begin{figure}[ht]
+% \begin{center}
+% \includegraphics[width=6cm]{MyArrangement_MyThorn_MyFigure}
+% \end{center}
+% \caption{Illustration of this and that}
+% \label{MyArrangement_MyThorn_MyLabel}
+% \end{figure}
+%
+% Example of using a label:
+% \label{MyArrangement_MyThorn_MyLabel}
+%
+% Example of a citation:
+% \cite{MyArrangement_MyThorn_Author99}
+%
+% Example of including a reference
+% \bibitem{MyArrangement_MyThorn_Author99}
+% {J. Author, {\em The Title of the Book, Journal, or periodical}, 1 (1999),
+% 1--16. {\tt http://www.nowhere.com/}}
+%
+% *======================================================================*
+
+% If you are using CVS use this line to give version information
+% $Header: /home/eschnett/C/carpet/Carpet/CarpetDev/CarpetJacobi/doc/documentation.tex,v 1.1 2003/09/02 14:35:57 schnetter Exp $
+
+\documentclass{article}
+
+% Use the Cactus ThornGuide style file
+% (Automatically used from Cactus distribution, if you have a
+% thorn without the Cactus Flesh download this from the Cactus
+% homepage at www.cactuscode.org)
+\usepackage{../../../../doc/latex/cactus}
+
+\begin{document}
+
+% The author of the documentation
+\author{Erik Schnetter \textless schnetter@uni-tuebingen.de\textgreater}
+
+% The title of the document (not necessarily the name of the Thorn)
+\title{}
+
+% the date your document was last changed, if your document is in CVS,
+% please use:
+% \date{$ $Date: 2003/09/02 14:35:57 $ $}
+\date{August 31 2003}
+
+\maketitle
+
+% Do not delete next line
+% START CACTUS THORNGUIDE
+
+% Add all definitions used in this documentation here
+% \def\mydef etc
+
+% Add an abstract for this thorn's documentation
+\begin{abstract}
+
+\end{abstract}
+
+% The following sections are suggestive only.
+% Remove them or add your own.
+
+\section{Introduction}
+
+\section{Physical System}
+
+\section{Numerical Implementation}
+
+\section{Using This Thorn}
+
+\subsection{Obtaining This Thorn}
+
+\subsection{Basic Usage}
+
+\subsection{Special Behaviour}
+
+\subsection{Interaction With Other Thorns}
+
+\subsection{Examples}
+
+\subsection{Support and Feedback}
+
+\section{History}
+
+\subsection{Thorn Source Code}
+
+\subsection{Thorn Documentation}
+
+\subsection{Acknowledgements}
+
+
+\begin{thebibliography}{9}
+
+\end{thebibliography}
+
+% Do not delete next line
+% END CACTUS THORNGUIDE
+
+\end{document}
diff --git a/CarpetDev/CarpetJacobi/interface.ccl b/CarpetDev/CarpetJacobi/interface.ccl
new file mode 100644
index 000000000..6b61da31a
--- /dev/null
+++ b/CarpetDev/CarpetJacobi/interface.ccl
@@ -0,0 +1,9 @@
+# Interface definition for thorn CarpetJacobi
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetDev/CarpetJacobi/interface.ccl,v 1.1 2003/09/02 14:35:57 schnetter Exp $
+
+IMPLEMENTS: CarpetJacobi
+
+INHERITS: TATelliptic
+
+USES INCLUDE HEADER: carpet.hh
+USES INCLUDE HEADER: TATelliptic.h
diff --git a/CarpetDev/CarpetJacobi/par/charge_te_cjac.par b/CarpetDev/CarpetJacobi/par/charge_te_cjac.par
new file mode 100644
index 000000000..8db9c4cf6
--- /dev/null
+++ b/CarpetDev/CarpetJacobi/par/charge_te_cjac.par
@@ -0,0 +1,60 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetDev/CarpetJacobi/par/charge_te_cjac.par,v 1.4 2004/03/23 11:59:20 schnetter Exp $
+# Erik Schnetter <schnetter@uni-tuebingen.de>
+
+ActiveThorns = "Boundary CartGrid3D CoordBase SymBase CarpetIOASCII IOBasic IOUtil Time Carpet CarpetLib CarpetRegrid CarpetReduce NaNCatcher IDScalarWave WaveToyC IDSWTEsimple TATelliptic CarpetJacobi"
+
+!DESC "Charged sphere initial data, solved with TATelliptic/CarpetJacobi"
+
+cactus::cctk_full_warnings = yes
+cactus::cctk_timer_output = full
+
+#Cactus::cctk_itlast = 10
+Cactus::cctk_itlast = 0
+
+Time::dtfac = 0.5
+
+driver::global_nsize = 21
+#driver::global_nsize = 41
+
+Carpet::verbose = yes
+#Carpet::veryverbose = yes
+
+Carpet::max_refinement_levels = 2
+#Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+Carpet::init_3_timelevels = yes
+
+CarpetRegrid::refinement_levels = 1
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([1,1,1]:[20,20,20]:[1,1,1]) ]]"
+CarpetRegrid::outerbounds = "[[ [[1,0],[1,0],[1,0]] ]]"
+
+grid::type = byspacing
+grid::domain = octant
+grid::dxyz = 1.2
+grid::avoid_origin = no
+
+IDScalarWave::initial_data = charge-TATelliptic-simple
+IDSWTEsimple::solver = CarpetJacobi
+#IDSWTEsimple::options = "maxiters=10000 minerror=1e-4 factor=1e-2"
+#IDSWTEsimple::options = "maxiters=100000 minerror=1e-8 factor=1e-2"
+IDSWTEsimple::options = "maxiters=10000 minerror=1e-8"
+IDSWTEsimple::radius = 5.5
+IDSWTEsimple::charge = 1.0
+
+WaveToyC::bound = radiation
+
+CarpetJacobi::verbose = yes
+
+IO::out_dir = "charge_te_cjac"
+IO::out_fileinfo = none
+
+IOBasic::outInfo_every = 1
+IOBasic::outInfo_vars = "wavetoy::phi IDSWTEsimple::residual"
+
+IOBasic::outScalar_every = 1
+IOBasic::outScalar_vars = "wavetoy::phi IDSWTEsimple::residual"
+IOBasic::outScalar_style = "gnuplot"
+
+CarpetIOASCII::out1D_every = 1
+CarpetIOASCII::out1D_vars = "wavetoy::phi IDSWTEsimple::residual"
diff --git a/CarpetDev/CarpetJacobi/par/charge_te_cjac_2.par b/CarpetDev/CarpetJacobi/par/charge_te_cjac_2.par
new file mode 100644
index 000000000..b26fe4d48
--- /dev/null
+++ b/CarpetDev/CarpetJacobi/par/charge_te_cjac_2.par
@@ -0,0 +1,60 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetDev/CarpetJacobi/par/charge_te_cjac_2.par,v 1.4 2004/03/23 11:59:20 schnetter Exp $
+# Erik Schnetter <schnetter@uni-tuebingen.de>
+
+ActiveThorns = "Boundary CartGrid3D CoordBase SymBase CarpetIOASCII IOBasic IOUtil Time Carpet CarpetLib CarpetRegrid CarpetReduce NaNCatcher IDScalarWave WaveToyC IDSWTEsimple TATelliptic CarpetJacobi"
+
+!DESC "Charged sphere initial data, solved with TATelliptic/CarpetJacobi"
+
+cactus::cctk_full_warnings = yes
+cactus::cctk_timer_output = full
+
+#Cactus::cctk_itlast = 10
+Cactus::cctk_itlast = 0
+
+Time::dtfac = 0.5
+
+driver::global_nsize = 21
+#driver::global_nsize = 41
+
+Carpet::verbose = yes
+#Carpet::veryverbose = yes
+
+Carpet::max_refinement_levels = 2
+#Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+Carpet::init_3_timelevels = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([1,1,1]:[20,20,20]:[1,1,1]) ]]"
+CarpetRegrid::outerbounds = "[[ [[1,0],[1,0],[1,0]] ]]"
+
+grid::type = byspacing
+grid::domain = octant
+grid::dxyz = 1.2
+grid::avoid_origin = no
+
+IDScalarWave::initial_data = charge-TATelliptic-simple
+IDSWTEsimple::solver = CarpetJacobi
+#IDSWTEsimple::options = "maxiters=10000 minerror=1e-4 factor=1e-2"
+#IDSWTEsimple::options = "maxiters=100000 minerror=1e-8 factor=1e-2"
+IDSWTEsimple::options = "maxiters=10000 minerror=1e-8"
+IDSWTEsimple::radius = 5.5
+IDSWTEsimple::charge = 1.0
+
+WaveToyC::bound = radiation
+
+CarpetJacobi::verbose = yes
+
+IO::out_dir = "charge_te_cjac_2"
+IO::out_fileinfo = none
+
+IOBasic::outInfo_every = 1
+IOBasic::outInfo_vars = "wavetoy::phi IDSWTEsimple::residual"
+
+IOBasic::outScalar_every = 1
+IOBasic::outScalar_vars = "wavetoy::phi IDSWTEsimple::residual"
+IOBasic::outScalar_style = "gnuplot"
+
+CarpetIOASCII::out1D_every = 1
+CarpetIOASCII::out1D_vars = "wavetoy::phi IDSWTEsimple::residual"
diff --git a/CarpetDev/CarpetJacobi/param.ccl b/CarpetDev/CarpetJacobi/param.ccl
new file mode 100644
index 000000000..bdeecf41b
--- /dev/null
+++ b/CarpetDev/CarpetJacobi/param.ccl
@@ -0,0 +1,32 @@
+# Parameter definitions for thorn CarpetJacobi
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetDev/CarpetJacobi/param.ccl,v 1.2 2004/01/25 14:57:29 schnetter Exp $
+
+BOOLEAN verbose "Produce log output while running" STEERABLE=always
+{
+} "no"
+
+BOOLEAN veryverbose "Produce much log output while running" STEERABLE=always
+{
+} "no"
+
+CCTK_INT outevery "Produce output every n iterations" STEERABLE=always
+{
+ 1:* :: ""
+} 1
+
+CCTK_INT outeveryseconds "Produce output every n seconds" STEERABLE=always
+{
+ 0:* :: ""
+} 10
+
+
+
+CCTK_INT solve_minlevel "First level on which to solve" STEERABLE=always
+{
+ 0:* :: ""
+} 0
+
+CCTK_INT reflevelpower "Power of the refinement factor" STEERABLE=always
+{
+ 0:* :: ""
+} 2
diff --git a/CarpetDev/CarpetJacobi/schedule.ccl b/CarpetDev/CarpetJacobi/schedule.ccl
new file mode 100644
index 000000000..009b40f7a
--- /dev/null
+++ b/CarpetDev/CarpetJacobi/schedule.ccl
@@ -0,0 +1,7 @@
+# Schedule definitions for thorn CarpetJacobi
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetDev/CarpetJacobi/schedule.ccl,v 1.1 2003/09/02 14:35:57 schnetter Exp $
+
+SCHEDULE CarpetJacobi_register AT startup
+{
+ LANG: C
+} "Register the elliptic solver"
diff --git a/CarpetDev/CarpetJacobi/src/Jacobi.cc b/CarpetDev/CarpetJacobi/src/Jacobi.cc
new file mode 100644
index 000000000..c326b66cd
--- /dev/null
+++ b/CarpetDev/CarpetJacobi/src/Jacobi.cc
@@ -0,0 +1,536 @@
+// $Header: /home/eschnett/C/carpet/Carpet/CarpetDev/CarpetJacobi/src/Jacobi.cc,v 1.3 2004/01/25 14:57:29 schnetter Exp $
+
+#include <cassert>
+#include <cmath>
+#include <cstdio>
+#include <ctime>
+#include <iostream>
+#include <vector>
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+
+#include "util_ErrorCodes.h"
+#include "util_Table.h"
+
+#include "TATelliptic.h"
+
+#include "carpet.hh"
+
+#include "th.hh"
+
+
+
+namespace Carpet {
+ // TODO: fix this
+ void CycleTimeLevels (const cGH* cctkGH);
+ void Restrict (const cGH* cctkGH);
+};
+
+
+
+namespace CarpetJacobi {
+
+ using namespace std;
+ using namespace Carpet;
+
+
+
+ extern "C" {
+ void CarpetJacobi_register ();
+ }
+
+ int CarpetJacobi_solve (const cGH * const cctkGH,
+ const int * const var,
+ const int * const res,
+ const int nvars,
+ const int options_table,
+ const calcfunc calcres,
+ const calcfunc applybnds,
+ void * const userdata);
+
+
+
+ void CarpetJacobi_register ()
+ {
+ int const ierr = TATelliptic_RegisterSolver
+ (CarpetJacobi_solve, "CarpetJacobi");
+ assert (!ierr);
+ }
+
+
+
+ int CarpetJacobi_solve (const cGH * const cctkGH,
+ const int * const var,
+ const int * const res,
+ const int nvars,
+ const int options_table,
+ const calcfunc calcres,
+ const calcfunc applybnds,
+ void * const userdata)
+ {
+ DECLARE_CCTK_PARAMETERS;
+
+ // Error control
+ int ierr;
+
+ if (! CCTK_IsThornActive(CCTK_THORNSTRING)) {
+ CCTK_WARN (0, "Thorn " CCTK_THORNSTRING " has not been activated. It is therefore not possible to call CarpetJacobi_solve.");
+ }
+
+ // Check arguments
+ assert (cctkGH);
+
+ assert (nvars > 0);
+ assert (var);
+ assert (res);
+ for (int n=0; n<nvars; ++n) {
+ assert (var[n] >= 0 && var[n] < CCTK_NumVars());
+ assert (CCTK_GroupTypeFromVarI(var[n]) == CCTK_GF);
+ assert (CCTK_GroupDimFromVarI(var[n]) == dim);
+ assert (CCTK_VarTypeI(var[n]) == CCTK_VARIABLE_REAL);
+ assert (CCTK_QueryGroupStorageI(cctkGH,
+ CCTK_GroupIndexFromVarI(var[n])));
+ }
+ for (int n=0; n<nvars; ++n) {
+ assert (res[n] >= 0 && res[n] < CCTK_NumVars());
+ assert (CCTK_GroupTypeFromVarI(res[n]) == CCTK_GF);
+ assert (CCTK_GroupDimFromVarI(res[n]) == dim);
+ assert (CCTK_VarTypeI(res[n]) == CCTK_VARIABLE_REAL);
+ assert (CCTK_QueryGroupStorageI(cctkGH,
+ CCTK_GroupIndexFromVarI(res[n])));
+ }
+ for (int n=0; n<nvars; ++n) {
+ assert (var[n] != res[n]);
+ for (int nn=0; nn<n; ++nn) {
+ assert (var[nn] != var[n]);
+ assert (var[nn] != res[n]);
+ assert (res[nn] != var[n]);
+ assert (res[nn] != res[n]);
+ }
+ }
+
+
+
+ assert (options_table >= 0);
+
+ assert (calcres);
+ assert (applybnds);
+
+ // Get options from options table
+ CCTK_INT maxiters = 10000;
+ CCTK_REAL minerror = 1e-8;
+ CCTK_REAL factor = 1.0e-2; // slow start
+ CCTK_REAL minfactor = 1.0e-8;
+ CCTK_REAL maxfactor = 1.0;
+ CCTK_REAL acceleration = 1.2; // slow acceleration
+ CCTK_REAL deceleration = 0.1; // emergency brake
+ vector<CCTK_REAL> factors (nvars);
+ for (int n=0; n<nvars; ++n) {
+ factors[n] = 1.0;
+ }
+
+ ierr = Util_TableGetInt (options_table, &maxiters, "maxiters");
+ assert (ierr==1 || ierr == UTIL_ERROR_TABLE_NO_SUCH_KEY);
+ ierr = Util_TableGetReal (options_table, &minerror, "minerror");
+ assert (ierr==1 || ierr == UTIL_ERROR_TABLE_NO_SUCH_KEY);
+ ierr = Util_TableGetReal (options_table, &factor, "factor");
+ assert (ierr==1 || ierr == UTIL_ERROR_TABLE_NO_SUCH_KEY);
+ ierr = Util_TableGetReal (options_table, &minfactor, "minfactor");
+ assert (ierr==1 || ierr == UTIL_ERROR_TABLE_NO_SUCH_KEY);
+ ierr = Util_TableGetReal (options_table, &maxfactor, "maxfactor");
+ assert (ierr==1 || ierr == UTIL_ERROR_TABLE_NO_SUCH_KEY);
+ ierr = Util_TableGetReal (options_table, &acceleration, "acceleration");
+ assert (ierr==1 || ierr == UTIL_ERROR_TABLE_NO_SUCH_KEY);
+ ierr = Util_TableGetReal (options_table, &deceleration, "deceleration");
+ assert (ierr==1 || ierr == UTIL_ERROR_TABLE_NO_SUCH_KEY);
+ ierr = Util_TableGetRealArray (options_table,
+ nvars, &factors[0], "factors");
+ assert (ierr==nvars || ierr == UTIL_ERROR_TABLE_NO_SUCH_KEY);
+
+ assert (maxiters >= 0);
+ assert (minerror >= 0);
+ assert (factor > 0);
+ assert (minfactor > 0 && minfactor <= factor);
+ assert (maxfactor >= factor);
+ assert (acceleration >= 1);
+ assert (deceleration > 0 && deceleration <= 1);
+ for (int n=0; n<nvars; ++n) {
+ assert (factors[n] != 0);
+ }
+
+
+
+ assert (is_global_mode() || is_level_mode());
+
+ // The level to solve on
+ const int solve_level = is_level_mode() ? reflevel : reflevels-1;
+
+ if (solve_level < solve_minlevel) {
+ if (verbose || veryverbose) {
+ CCTK_VInfo (CCTK_THORNSTRING,
+ "Did not solve because the level is too coarse.");
+ }
+ Util_TableSetInt (options_table, 0, "iters");
+ Util_TableSetReal (options_table, -1.0, "error");
+
+ // Return as if the solving had not converged
+ return -1;
+ }
+
+#warning "TODO: assert that all levels are at the same time"
+
+ // Switch to global mode
+ BEGIN_GLOBAL_MODE(cctkGH) {
+
+ // Reset the initial data time
+ global_time = 0;
+ delta_time = 1;
+ * const_cast<CCTK_REAL *> (& cctkGH->cctk_time) = global_time;
+ * const_cast<CCTK_REAL *> (& cctkGH->cctk_delta_time) = delta_time;
+ BEGIN_REFLEVEL_LOOP(cctkGH) {
+ * const_cast<CCTK_REAL *> (& cctkGH->cctk_time) = global_time;
+ for (int m=0; m<maps; ++m) {
+ vtt[m]->set_time (reflevel, mglevel, 0);
+ vtt[m]->set_delta
+ (reflevel, mglevel, 1.0 / ipow(reflevelfact, reflevelpower));
+ }
+ } END_REFLEVEL_LOOP;
+
+
+
+ // Init statistics
+ vector<CCTK_REAL> norm_counts (solve_level+1);
+ vector<CCTK_REAL> norm_l2s (solve_level+1);
+ CCTK_REAL norm2 = HUGE_VAL;
+ CCTK_REAL speed = 0.0;
+ CCTK_REAL throttle = 1.0;
+ bool did_hit_min = false;
+ bool did_hit_max = false;
+ const time_t starttime = time(0);
+ time_t nexttime = starttime;
+
+ if (verbose || veryverbose) {
+ CCTK_VInfo (CCTK_THORNSTRING,
+ "Solving through adaptive Jacobi iterations");
+ }
+
+ const int icoarsestep
+ = ipow (mglevelfact * maxreflevelfact, reflevelpower);
+ const int istep
+ = ipow (mglevelfact * maxreflevelfact / ipow(reffact, solve_level),
+ reflevelpower);
+ int iter = istep;
+ for (;; iter+=istep) {
+
+ global_time = 1.0 * iter / ipow(maxreflevelfact, reflevelpower);
+ * const_cast<CCTK_REAL *> (& cctkGH->cctk_time) = global_time;
+// cout << "CJ global iter " << iter << " time " << global_time << flush << endl;
+
+ // Calculate residual, smooth, and apply boundary conditions
+ ierr = 0;
+ BEGIN_REFLEVEL_LOOP(cctkGH) {
+ const int do_every
+ = ipow (mglevelfact * (maxreflevelfact/reflevelfact),
+ reflevelpower);
+ if (reflevel <= solve_level && (iter-istep) % do_every == 0) {
+
+ // Advance time
+ for (int m=0; m<maps; ++m) {
+ vtt[m]->advance_time (reflevel, mglevel);
+ }
+ * const_cast<CCTK_REAL *> (& cctkGH->cctk_time)
+ = (1.0 * (iter - istep + do_every)
+ / ipow(maxreflevelfact, reflevelpower));
+ CycleTimeLevels (cctkGH);
+// cout << "CJ residual iter " << iter << " reflevel " << reflevel << " time " << cctkGH->cctk_time << flush << endl;
+
+ // Calculate residual
+ BEGIN_MAP_LOOP(cctkGH, CCTK_GF) {
+ BEGIN_LOCAL_COMPONENT_LOOP(cctkGH, CCTK_GF) {
+ if (! ierr) {
+ ierr = calcres (cctkGH, options_table, userdata);
+ }
+ } END_LOCAL_COMPONENT_LOOP;
+ } END_MAP_LOOP;
+
+ // Smooth and apply boundary conditions
+ CCTK_REAL levfac = 0;
+ for (int d=0; d<dim; ++d) {
+ levfac += 1 /
+ pow (cctkGH->cctk_delta_space[d] / cctkGH->cctk_levfac[d], 2);
+ }
+ levfac = 1 / levfac;
+
+ BEGIN_MAP_LOOP(cctkGH, CCTK_GF) {
+ BEGIN_LOCAL_COMPONENT_LOOP(cctkGH, CCTK_GF) {
+ if (! ierr) {
+
+ for (int n=0; n<nvars; ++n) {
+ CCTK_REAL * restrict varptr
+ = (CCTK_REAL *)CCTK_VarDataPtrI (cctkGH, 0, var[n]);
+ assert (varptr);
+ const CCTK_REAL * restrict resptr
+ = (const CCTK_REAL *)CCTK_VarDataPtrI(cctkGH, 0, res[n]);
+ assert (resptr);
+ assert (resptr != varptr);
+ const CCTK_REAL fac = factor * factors[n] * levfac;
+ assert (cctkGH->cctk_dim == 3);
+ for (int k=cctkGH->cctk_nghostzones[2];
+ k<cctkGH->cctk_lsh[2]-cctkGH->cctk_nghostzones[2];
+ ++k) {
+ for (int j=cctkGH->cctk_nghostzones[1];
+ j<cctkGH->cctk_lsh[1]-cctkGH->cctk_nghostzones[1];
+ ++j) {
+ for (int i=cctkGH->cctk_nghostzones[0];
+ i<cctkGH->cctk_lsh[0]-cctkGH->cctk_nghostzones[0];
+ ++i) {
+ const int ind = CCTK_GFINDEX3D(cctkGH, i, j, k);
+ varptr[ind] += fac * resptr[ind];
+ }
+ }
+ }
+ } // for n
+
+ // Apply boundary conditions
+ ierr = applybnds (cctkGH, options_table, userdata);
+
+ }
+ } END_LOCAL_COMPONENT_LOOP;
+ } END_MAP_LOOP;
+
+ }
+ } END_REFLEVEL_LOOP;
+
+ if (ierr) {
+ if (verbose || veryverbose) {
+ CCTK_VInfo (CCTK_THORNSTRING,
+ "Residual calculation or boundary conditions reported error; aborting solver.");
+ }
+ Util_TableSetInt (options_table, iter, "iters");
+ Util_TableDeleteKey (options_table, "error");
+ goto done;
+ }
+
+ // Restrict and calculate norm
+ ierr = 0;
+ BEGIN_REVERSE_REFLEVEL_LOOP(cctkGH) {
+ const int do_every
+ = ipow (mglevelfact * (maxreflevelfact/reflevelfact),
+ reflevelpower);
+ if (reflevel <= solve_level && iter % do_every == 0) {
+
+// cout << "CJ restrict iter " << iter << " reflevel " << reflevel << " time " << cctkGH->cctk_time << flush << endl;
+
+ if (! ierr) {
+ if (reflevel < solve_level) {
+ Restrict (cctkGH);
+ }
+ }
+
+ BEGIN_MAP_LOOP(cctkGH, CCTK_GF) {
+ BEGIN_LOCAL_COMPONENT_LOOP(cctkGH, CCTK_GF) {
+ if (! ierr) {
+ ierr = applybnds (cctkGH, options_table, userdata);
+ }
+ } END_LOCAL_COMPONENT_LOOP;
+ } END_MAP_LOOP;
+
+ // Initialise norm
+ CCTK_REAL norm_count = 0;
+ CCTK_REAL norm_l2 = 0;
+
+ BEGIN_MAP_LOOP(cctkGH, CCTK_GF) {
+ BEGIN_LOCAL_COMPONENT_LOOP(cctkGH, CCTK_GF) {
+ if (! ierr) {
+
+ // Calculate norm
+ for (int n=0; n<nvars; ++n) {
+ const CCTK_REAL * restrict resptr
+ = (const CCTK_REAL *)CCTK_VarDataPtrI(cctkGH, 0, res[n]);
+ assert (resptr);
+ const CCTK_REAL fac = factors[n];
+ assert (cctkGH->cctk_dim == 3);
+ for (int k=cctkGH->cctk_nghostzones[2];
+ k<cctkGH->cctk_lsh[2]-cctkGH->cctk_nghostzones[2];
+ ++k) {
+ for (int j=cctkGH->cctk_nghostzones[1];
+ j<cctkGH->cctk_lsh[1]-cctkGH->cctk_nghostzones[1];
+ ++j) {
+ for (int i=cctkGH->cctk_nghostzones[0];
+ i<cctkGH->cctk_lsh[0]-cctkGH->cctk_nghostzones[0];
+ ++i) {
+ const int ind = CCTK_GFINDEX3D(cctkGH, i, j, k);
+ ++norm_count;
+ // TODO: scale the norm by the resolution?
+ norm_l2 += pow(fac * resptr[ind], 2);
+ }
+ }
+ }
+ } // for n
+
+ }
+ } END_LOCAL_COMPONENT_LOOP;
+ } END_MAP_LOOP;
+
+ const int sum_handle = CCTK_ReductionArrayHandle ("sum");
+ assert (sum_handle >= 0);
+ CCTK_REAL reduce_in[2], reduce_out[2];
+ reduce_in[0] = norm_count;
+ reduce_in[1] = norm_l2;
+ ierr = CCTK_ReduceLocArrayToArray1D
+ (cctkGH, -1, sum_handle, reduce_in, reduce_out, 2,
+ CCTK_VARIABLE_REAL);
+ norm_counts.at(reflevel) = reduce_out[0];
+ norm_l2s.at(reflevel) = reduce_out[1];
+
+#warning "TODO"
+#if 0
+ CCTK_OutputVarAs (cctkGH, "WaveToyFO::phi", "phi-ell");
+ CCTK_OutputVarAs (cctkGH, "IDSWTEsimpleFO::residual", "residual-ell");
+#endif
+
+ }
+ } END_REVERSE_REFLEVEL_LOOP;
+
+ if (ierr) {
+ if (verbose || veryverbose) {
+ CCTK_VInfo (CCTK_THORNSTRING,
+ "Residual calculation or boundary conditions reported error; aborting solver.");
+ }
+ Util_TableSetInt (options_table, iter, "iters");
+ Util_TableDeleteKey (options_table, "error");
+ goto done;
+ }
+
+ // Save old norm
+ const CCTK_REAL old_norm2 = norm2;
+
+ // Calculate new norm
+ CCTK_REAL norm_count = 0;
+ CCTK_REAL norm_l2 = 0;
+ for (int rl=0; rl<=solve_level; ++rl) {
+ norm_count += norm_counts[rl];
+ norm_l2 += norm_l2s[rl];
+ }
+ norm2 = sqrt(norm_l2 / norm_count);
+
+ // Calculate convergence speed
+ speed = old_norm2 / norm2;
+
+ // Log output
+ if (verbose || veryverbose) {
+ const time_t currenttime = time(0);
+ if ((iter % icoarsestep == 0 && iter >= maxiters)
+#if HAVE_ISNAN
+ || isnan(norm2)
+#endif
+ || norm2 <= minerror
+ || (iter % outevery == 0 && currenttime >= nexttime)) {
+ if (verbose || veryverbose) {
+ if (did_hit_min) {
+ CCTK_VInfo (CCTK_THORNSTRING,
+ "Convergence factor became too small: artificially kept at minfactor (may lead to instability)");
+ }
+ if (did_hit_max) {
+ CCTK_VInfo (CCTK_THORNSTRING,
+ "Convergence factor became too large: artificially kept at maxfactor (may lead to slower convergence)");
+ }
+ did_hit_min = false;
+ did_hit_max = false;
+ }
+ if (veryverbose) {
+ CCTK_VInfo (CCTK_THORNSTRING,
+ "Iteration %d, time %g, factor %g, throttle %g, residual %g, speed %g",
+ iter, double(currenttime-starttime),
+ double(factor), double(throttle), double(norm2),
+ double(speed));
+ } else {
+ CCTK_VInfo (CCTK_THORNSTRING,
+ "Iteration %d, time %g, residual %g",
+ iter, double(currenttime-starttime), double(norm2));
+ }
+ if (outeveryseconds > 0) {
+ while (nexttime <= currenttime) nexttime += outeveryseconds;
+ }
+ }
+ }
+
+#if HAVE_ISNAN
+ // Exit if things go bad
+ if (isnan(norm2)) {
+ if (verbose || veryverbose) {
+ CCTK_VInfo (CCTK_THORNSTRING,
+ "Encountered NaN. Aborting solver.");
+ }
+ break;
+ }
+#endif
+
+ // Return when desired accuracy is reached
+ if (norm2 <= minerror) {
+ if (verbose || veryverbose) {
+ CCTK_VInfo (CCTK_THORNSTRING, "Done solving.");
+ }
+ Util_TableSetInt (options_table, iter, "iters");
+ Util_TableSetReal (options_table, norm2, "error");
+ ierr = 0;
+ goto done;
+ }
+
+ // Exit if the maximum number of iterations has been reached
+ if (iter % icoarsestep == 0 && iter >= maxiters) {
+ break;
+ }
+
+ // Adjust speed
+ if (speed > 1.0) {
+ throttle = acceleration;
+ } else {
+ throttle = deceleration;
+ }
+ factor *= throttle;
+ if (factor < minfactor) {
+ did_hit_min = true;
+ factor = minfactor;
+ }
+ if (factor > maxfactor) {
+ did_hit_max = true;
+ factor = maxfactor;
+ }
+
+ } // for iter
+
+ // Did not solve
+ if (verbose || veryverbose) {
+ CCTK_VInfo (CCTK_THORNSTRING, "Did not converge.");
+ }
+ Util_TableSetInt (options_table, iter, "iters");
+ Util_TableSetReal (options_table, norm2, "error");
+ ierr = -1;
+
+ done: ;
+
+
+
+ // Reset the initial time
+#warning "TODO: reset the initial time a bit more intelligently"
+ global_time = 0;
+ delta_time = 1;
+ * const_cast<CCTK_REAL *> (& cctkGH->cctk_time) = global_time;
+ * const_cast<CCTK_REAL *> (& cctkGH->cctk_delta_time) = delta_time;
+ BEGIN_REFLEVEL_LOOP(cctkGH) {
+ * const_cast<CCTK_REAL *> (& cctkGH->cctk_time) = global_time;
+ for (int m=0; m<maps; ++m) {
+ vtt[m]->set_time (reflevel, mglevel, 0);
+ vtt[m]->set_delta (reflevel, mglevel, 1.0 / reflevelfact);
+ }
+ } END_REFLEVEL_LOOP;
+
+ } END_GLOBAL_MODE;
+
+ return ierr;
+ }
+
+} // namespace CarpetJacobi
diff --git a/CarpetDev/CarpetJacobi/src/make.code.defn b/CarpetDev/CarpetJacobi/src/make.code.defn
new file mode 100644
index 000000000..efd1ad4c4
--- /dev/null
+++ b/CarpetDev/CarpetJacobi/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn CarpetJacobi
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetDev/CarpetJacobi/src/make.code.defn,v 1.1 2003/09/02 14:35:58 schnetter Exp $
+
+# Source files in this directory
+SRCS = Jacobi.cc
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/CarpetExtra/COPYING b/CarpetExtra/COPYING
new file mode 100644
index 000000000..1942c4334
--- /dev/null
+++ b/CarpetExtra/COPYING
@@ -0,0 +1,341 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 59 Temple Place - Suite 330
+ Boston, MA 02111-1307, USA.
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
+
+ The licenses for most software are designed to take away your
+freedom to share and change it. By contrast, the GNU General Public
+License is intended to guarantee your freedom to share and change free
+software--to make sure the software is free for all its users. This
+General Public License applies to most of the Free Software
+Foundation's software and to any other program whose authors commit to
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+ TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
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+Activities other than copying, distribution and modification are not
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+running the Program is not restricted, and the output from the Program
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+ 1. You may copy and distribute verbatim copies of the Program's
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+You may charge a fee for the physical act of transferring a copy, and
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+ 2. You may modify your copy or copies of the Program or any portion
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+These requirements apply to the modified work as a whole. If
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+
+ END OF TERMS AND CONDITIONS
+
+ How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
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+ To do so, attach the following notices to the program. It is safest
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+ <one line to give the program's name and a brief idea of what it does.>
+ Copyright (C) 19yy <name of author>
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation; either version 2 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program; see the file COPYING. If not, write to
+ the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+ Boston, MA 02111-1307, USA.
+
+Also add information on how to contact you by electronic and paper mail.
+
+If the program is interactive, make it output a short notice like this
+when it starts in an interactive mode:
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+ Gnomovision version 69, Copyright (C) 19yy name of author
+ Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+ This is free software, and you are welcome to redistribute it
+ under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License. Of course, the commands you use may
+be called something other than `show w' and `show c'; they could even be
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+
+You should also get your employer (if you work as a programmer) or your
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+necessary. Here is a sample; alter the names:
+
+ Yoyodyne, Inc., hereby disclaims all copyright interest in the program
+ `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+ <signature of Ty Coon>, 1 April 1989
+ Ty Coon, President of Vice
+
+This General Public License does not permit incorporating your program into
+proprietary programs. If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library. If this is what you want to do, use the GNU Library General
+Public License instead of this License.
diff --git a/CarpetExtra/CarpetIOSer/README b/CarpetExtra/CarpetIOSer/README
new file mode 100644
index 000000000..88ce160e1
--- /dev/null
+++ b/CarpetExtra/CarpetIOSer/README
@@ -0,0 +1,7 @@
+Cactus Code Thorn CarpetIOSer
+Authors : ...
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetIOSer/README,v 1.1.1.1 2002/02/08 14:55:30 shawley Exp $
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+Provide 1D output from Carpet to Matt Choptuik's "ser" (via socket connection)
diff --git a/CarpetExtra/CarpetIOSer/configuration.ccl b/CarpetExtra/CarpetIOSer/configuration.ccl
new file mode 100644
index 000000000..d66eba98d
--- /dev/null
+++ b/CarpetExtra/CarpetIOSer/configuration.ccl
@@ -0,0 +1,4 @@
+# Configuration definitions for thorn CarpetIOSer
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetIOSer/configuration.ccl,v 1.2 2004/04/18 14:10:30 schnetter Exp $
+
+REQUIRES Carpet CarpetLib
diff --git a/CarpetExtra/CarpetIOSer/interface.ccl b/CarpetExtra/CarpetIOSer/interface.ccl
new file mode 100644
index 000000000..733dcef51
--- /dev/null
+++ b/CarpetExtra/CarpetIOSer/interface.ccl
@@ -0,0 +1,8 @@
+# Interface definition for thorn CarpetIOSer
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetIOSer/interface.ccl,v 1.3 2003/09/04 16:23:22 tradke Exp $
+
+implements: IOSer
+
+inherits: Hyperslab
+
+uses include header: carpet.hh
diff --git a/CarpetExtra/CarpetIOSer/param.ccl b/CarpetExtra/CarpetIOSer/param.ccl
new file mode 100644
index 000000000..86828aa94
--- /dev/null
+++ b/CarpetExtra/CarpetIOSer/param.ccl
@@ -0,0 +1,134 @@
+# Parameter definitions for thorn CarpetIOSer
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetIOSer/param.ccl,v 1.2 2002/02/22 11:16:53 shawley Exp $
+
+
+
+shares: IO
+
+USES STRING outdir
+
+USES CCTK_INT out_every
+
+
+
+USES CCTK_INT out_xline_yi
+USES CCTK_INT out_xline_zi
+USES CCTK_INT out_yline_xi
+USES CCTK_INT out_yline_zi
+USES CCTK_INT out_zline_xi
+USES CCTK_INT out_zline_yi
+
+USES CCTK_REAL out_xline_y
+USES CCTK_REAL out_xline_z
+USES CCTK_REAL out_yline_x
+USES CCTK_REAL out_yline_z
+USES CCTK_REAL out_zline_x
+USES CCTK_REAL out_zline_y
+
+
+
+restricted:
+
+
+
+BOOLEAN separate_grids "Separate grid levels in the output file by additional empty lines"
+{
+} "yes"
+
+BOOLEAN separate_components "Separate grid components in the output file by additional empty lines"
+{
+} "no"
+
+
+
+CCTK_STRING out1D_vars "Variables to output in 1D Ser file format" STEERABLE = ALWAYS
+{
+ .* :: "A regex which matches everything"
+} ""
+
+CCTK_STRING out1D_tag "Additional tag to append to ser window name" STEERABLE = ALWAYS
+{
+ .* :: "A regex which matches everything"
+} ""
+
+CCTK_INT strip_left "Number of grid points on the left to NOT display (e.g. ghost zones)" STEERABLE = ALWAYS
+{
+ 0:* :: ""
+} 0
+
+CCTK_INT strip_right "Number of grid points on the right to NOT display (e.g. ghost zones)" STEERABLE = ALWAYS
+{
+ 0:* :: ""
+} 0
+
+
+CCTK_INT out1D_every "How often to do 1D Ser output, overrides out_every" STEERABLE = ALWAYS
+{
+ -1:* :: "Values <= 0 disable 1D output"
+} -1
+
+
+BOOLEAN out1D_x "Do 1D IOSer output in the x-direction" STEERABLE = ALWAYS
+{
+} "yes"
+BOOLEAN out1D_y "Do 1D IOSer output in the y-direction" STEERABLE = ALWAYS
+{
+} "yes"
+BOOLEAN out1D_z "Do 1D IOSer output in the z-direction" STEERABLE = ALWAYS
+{
+} "yes"
+
+CCTK_INT out1D_xline_yi "y-index (counting from 0) for 1D lines in x-direction" STEERABLE = ALWAYS
+{
+ 0:* :: ""
+} 0
+CCTK_INT out1D_xline_zi "z-index (counting from 0) for 1D lines in x-direction" STEERABLE = ALWAYS
+{
+ 0:* :: ""
+} 0
+
+CCTK_INT out1D_yline_xi "x-index (counting from 0) for 1D lines in y-direction" STEERABLE = ALWAYS
+{
+ 0:* :: ""
+} 0
+CCTK_INT out1D_yline_zi "z-index (counting from 0) for 1D lines in y-direction" STEERABLE = ALWAYS
+{
+ 0:* :: ""
+} 0
+
+CCTK_INT out1D_zline_xi "x-index (counting from 0) for 1D lines in z-direction" STEERABLE = ALWAYS
+{
+ 0:* :: ""
+} 0
+CCTK_INT out1D_zline_yi "y-index (counting from 0) for 1D lines in z-direction" STEERABLE = ALWAYS
+{
+ 0:* :: ""
+} 0
+
+CCTK_REAL out1D_xline_y "y coordinate for 1D lines in x-direction" STEERABLE = ALWAYS
+{
+ *:* :: ""
+} 0
+CCTK_REAL out1D_xline_z "z coordinate for 1D lines in x-direction" STEERABLE = ALWAYS
+{
+ *:* :: ""
+} 0
+
+CCTK_REAL out1D_yline_x "x coordinate for 1D lines in y-direction" STEERABLE = ALWAYS
+{
+ *:* :: ""
+} 0
+CCTK_REAL out1D_yline_z "z coordinate for 1D lines in y-direction" STEERABLE = ALWAYS
+{
+ *:* :: ""
+} 0
+
+CCTK_REAL out1D_zline_x "x coordinate for 1D lines in z-direction" STEERABLE = ALWAYS
+{
+ *:* :: ""
+} 0
+CCTK_REAL out1D_zline_y "y coordinate for 1D lines in z-direction" STEERABLE = ALWAYS
+{
+ *:* :: ""
+} 0
+
diff --git a/CarpetExtra/CarpetIOSer/schedule.ccl b/CarpetExtra/CarpetIOSer/schedule.ccl
new file mode 100644
index 000000000..ee9aa7bc9
--- /dev/null
+++ b/CarpetExtra/CarpetIOSer/schedule.ccl
@@ -0,0 +1,7 @@
+# Schedule definitions for thorn CarpetIOSer
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetIOSer/schedule.ccl,v 1.2 2003/11/05 16:18:38 schnetter Exp $
+
+schedule CarpetIOSerStartup at STARTUP after IOUtil_Startup
+{
+ LANG: C
+} "Startup routine"
diff --git a/CarpetExtra/CarpetIOSer/src/ioser.cc b/CarpetExtra/CarpetIOSer/src/ioser.cc
new file mode 100644
index 000000000..431b6a295
--- /dev/null
+++ b/CarpetExtra/CarpetIOSer/src/ioser.cc
@@ -0,0 +1,781 @@
+#include <alloca.h>
+#include <assert.h>
+#include <limits.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <sys/stat.h>
+#include <sys/types.h>
+
+#include <fstream>
+#include <iomanip>
+#include <vector>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+#include "CactusBase/IOUtil/src/ioutil_CheckpointRecovery.h"
+
+#include "Carpet/CarpetLib/src/data.hh"
+#include "Carpet/CarpetLib/src/gdata.hh"
+#include "Carpet/CarpetLib/src/gf.hh"
+#include "Carpet/CarpetLib/src/ggf.hh"
+#include "Carpet/CarpetLib/src/vect.hh"
+
+#include "carpet.hh"
+
+#include "ioser.hh"
+
+#include "bbhutil.h"
+extern "C" {
+int vsxynt(const char *name, double t, double *x, double *y, int n);
+}
+
+
+static const char* rcsid = "$Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetIOSer/src/ioser.cc,v 1.1.1.1 2002/02/08 14:55:31 shawley Exp $";
+
+// That's a hack
+namespace Carpet {
+ void UnsupportedVarType (const int vindex);
+}
+
+
+using namespace std;
+using namespace Carpet;
+
+
+
+static bool CheckForVariable (const cGH* const cgh,
+ const char* const varlist, const int vindex);
+static void SetFlag (int index, const char* optstring, void* arg);
+
+//void assign_ser_output_element (double& range, const ivect& index);
+//void assign_ser_output_element (double& range, const vect<int,dim> index);
+
+template<int D,int DD>
+static void write_ser ( const char *gfname,
+ const generic_data<D>* const gfdata,
+ const bbox<int,D>& gfext,
+ const int vi,
+ const int time,
+ const vect<int,D>& org,
+ const vect<int,DD>& dirs,
+ const int tl,
+ const int rl,
+ const int c,
+ const int ml,
+ const CCTK_REAL coord_time,
+ const vect<CCTK_REAL,D>& coord_lower,
+ const vect<CCTK_REAL,D>& coord_upper,
+ const int strip_left, const int strip_right);
+
+
+int CarpetIOSerStartup()
+{
+ CarpetIOSer<1>::Startup();
+ CarpetIOSer<2>::Startup();
+ CarpetIOSer<3>::Startup();
+
+ return 0;
+}
+
+
+
+// Definition of static members
+template<int outdim> int CarpetIOSer<outdim>::GHExtension;
+template<int outdim> int CarpetIOSer<outdim>::IOMethod;
+template<int outdim> vector<bool> CarpetIOSer<outdim>::do_truncate;
+template<int outdim> vector<vector<int> > CarpetIOSer<outdim>::last_output;
+
+
+
+template<int outdim>
+int CarpetIOSer<outdim>::Startup()
+{
+ char msg[1000];
+ sprintf (msg, "AMR %dD Ser I/O provided by CarpetIOSer", outdim);
+ CCTK_RegisterBanner (msg);
+
+ char extension_name[1000];
+ sprintf (extension_name, "CarpetIOSer_%dD", outdim);
+ GHExtension = CCTK_RegisterGHExtension(extension_name);
+ CCTK_RegisterGHExtensionSetupGH (GHExtension, SetupGH);
+
+ char method_name[1000];
+ sprintf (method_name, "IOSer_%dD", outdim);
+ IOMethod = CCTK_RegisterIOMethod (method_name);
+ CCTK_RegisterIOMethodOutputGH (IOMethod, OutputGH);
+ CCTK_RegisterIOMethodOutputVarAs (IOMethod, OutputVarAs);
+ CCTK_RegisterIOMethodTimeToOutput (IOMethod, TimeToOutput);
+ CCTK_RegisterIOMethodTriggerOutput (IOMethod, TriggerOutput);
+
+ return 0;
+}
+
+
+
+template<int outdim>
+void* CarpetIOSer<outdim>
+::SetupGH (tFleshConfig* const fc, const int convLevel, cGH* const cgh)
+{
+ DECLARE_CCTK_PARAMETERS;
+
+ // Truncate all files if this is not a restart
+ do_truncate.resize(CCTK_NumVars(), true);
+
+ // No iterations have yet been output
+ last_output.resize(maxreflevels);
+ for (int rl=0; rl<maxreflevels; ++rl) {
+ last_output[rl].resize(CCTK_NumVars(), INT_MIN);
+ }
+
+ // We register only once, ergo we get only one handle. We store
+ // that statically, so there is no need to pass anything to Cactus.
+ return 0;
+}
+
+
+
+template<int outdim>
+int CarpetIOSer<outdim>
+::OutputGH (const cGH* const cgh)
+{
+ for (int vindex=0; vindex<CCTK_NumVars(); ++vindex) {
+ if (TimeToOutput(cgh, vindex)) {
+ TriggerOutput(cgh, vindex);
+ }
+ }
+ return 0;
+}
+
+
+
+template<int outdim>
+int CarpetIOSer<outdim>
+::OutputVarAs (const cGH* const cgh,
+ const char* const varname, const char* const alias)
+{
+ DECLARE_CCTK_PARAMETERS;
+
+ const int n = CCTK_VarIndex(varname);
+ assert (n>=0 && n<CCTK_NumVars());
+ const int group = CCTK_GroupIndexFromVarI (n);
+ assert (group>=0 && group<(int)Carpet::arrdata.size());
+ const int n0 = CCTK_FirstVarIndexI(group);
+ assert (n0>=0 && n0<CCTK_NumVars());
+ const int var = n - n0;
+ assert (var>=0 && var<CCTK_NumVars());
+ const int tl = 0;
+
+ // Check for storage
+ if (! CCTK_QueryGroupStorageI(cgh, group)) {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Cannot output variable \"%s\" because it has no storage",
+ varname);
+ return 0;
+ }
+
+ // Create the output directory
+ const char* myoutdir = GetStringParameter("outdir%dD", outdir);
+ if (CCTK_MyProc(cgh)==0) {
+ CCTK_CreateDirectory (0755, myoutdir);
+ }
+
+ // Loop over all direction combinations
+ vect<int,outdim> dirs;
+ for (int d=0; d<outdim; ++d) dirs[d] = 0;
+
+ bool done;
+ do {
+
+ // Output each combination only once
+ bool ascending = true;
+ for (int d1=0; d1<outdim; ++d1) {
+ for (int d2=d1+1; d2<outdim; ++d2) {
+ ascending = ascending && dirs[d1] < dirs[d2];
+ }
+ }
+
+ // Skip output if the dimensions are not ascending
+ if (ascending) {
+
+ // If this output is desired at all
+ bool desired;
+ switch (outdim) {
+ case 1:
+ switch (dirs[0]) {
+ case 0:
+ desired = out1D_x;
+ break;
+ case 1:
+ desired = out1D_y;
+ break;
+ case 2:
+ desired = out1D_z;
+ break;
+ default:
+ abort();
+ }
+ break;
+ default:
+ abort();
+ }
+
+ // Skip output if not desired
+ if (desired) {
+
+ // Invent a file name
+ char* const filename
+ = (char*)alloca(strlen(myoutdir)+strlen(alias)+100);
+ sprintf (filename, "%s/%s.", myoutdir, alias);
+ for (int d=0; d<outdim; ++d) {
+ assert (dirs[d]>=0 && dirs[d]<3);
+ const char* const coords = "xyz";
+ sprintf (filename, "%s%c", filename, coords[dirs[d]]);
+ }
+ const char* const suffixes = "lpv";
+ sprintf (filename, "%s%c", filename, suffixes[outdim-1]);
+
+ ofstream file;
+
+ if (CCTK_MyProc(cgh)==0) {
+ // If this is the first time, then write a nice header on
+ // the root processor
+ if (do_truncate[n]) {
+ struct stat fileinfo;
+ if (! IOUtil_RestartFromRecovery(cgh)
+ || stat(filename, &fileinfo)!=0) {
+ file.open (filename, ios::out | ios::trunc);
+ assert (file.good());
+ file << "# " << varname;
+ for (int d=0; d<outdim; ++d) {
+ file << " " << "xyz"[dirs[d]];
+ }
+ file << " (" << alias << ")" << endl;
+ file << "#" << endl;
+ assert (file.good());
+ }
+ }
+ if (! file.is_open()) {
+ file.open (filename, ios::app);
+ assert (file.good());
+ }
+ file << setprecision(15);
+ assert (file.good());
+ }
+
+ assert (outdim <= CCTK_GroupDimI(group));
+
+ // Find the output offset
+ vect<int,dim> offset(0);
+ switch (outdim) {
+ case 1:
+ switch (dirs[0]) {
+ case 0:
+ offset[1] = GetGridOffset (cgh, 2,
+ "out%dD_xline_yi", "out_xline_yi",
+ "out%dD_xline_y", "out_xline_y",
+ out_xline_y);
+ offset[2] = GetGridOffset (cgh, 3,
+ "out%dD_xline_zi", "out_xline_zi",
+ "out%dD_xline_z", "out_xline_z",
+ out_xline_z);
+ break;
+ case 1:
+ offset[0] = GetGridOffset (cgh, 1,
+ "out%dD_yline_xi", "out_yline_xi",
+ "out%dD_yline_x", "out_yline_x",
+ out_yline_x);
+ offset[2] = GetGridOffset (cgh, 3,
+ "out%dD_yline_zi", "out_yline_zi",
+ "out%dD_yline_z", "out_yline_z",
+ out_yline_z);
+ break;
+ case 2:
+ offset[0] = GetGridOffset (cgh, 1,
+ "out%dD_zline_xi", "out_zline_xi",
+ "out%dD_zline_x", "out_zline_x",
+ out_zline_x);
+ offset[1] = GetGridOffset (cgh, 2,
+ "out%dD_zline_yi", "out_zline_yi",
+ "out%dD_zline_y", "out_zline_y",
+ out_zline_y);
+ break;
+ default:
+ abort();
+ }
+ break;
+ default:
+ abort();
+ }
+
+ // Traverse all components on this refinement and multigrid
+ // level
+ BEGIN_COMPONENT_LOOP(cgh) {
+
+ const generic_gf<dim>* ff = 0;
+
+ assert (var < (int)arrdata[group].data.size());
+ ff = (generic_gf<dim>*)arrdata[group].data[var];
+
+ const generic_data<dim>* const data
+ = (*ff) (tl, reflevel, component, mglevel);
+ const bbox<int,dim> ext = data->extent();
+ const vect<int,dim> offset1 = offset * ext.stride();
+
+ // coordinates
+ const double coord_time = cgh->cctk_time;
+ vect<double,dim> global_lower, global_upper;
+ for (int d=0; d<dim; ++d) {
+ const int ierr = CCTK_CoordRange
+ (cgh, &global_lower[d], &global_upper[d], d+1, 0, "cart3d");
+ if (ierr<0) {
+ global_lower[d] = 0;
+ global_upper[d] = 0;
+ }
+ }
+ const vect<double,dim> global_extent (hh->baseextent.upper() - hh->baseextent.lower() + hh->baseextent.stride() * (dd->lghosts + dd->ughosts));
+ vect<double,dim> coord_delta;
+ for (int d=0; d<dim; ++d) {
+ if (global_extent[d] != 0) {
+ coord_delta[d] = (global_upper[d] - global_lower[d]) / global_extent[d];
+ } else {
+ coord_delta[d] = 0;
+ }
+ }
+ // Note: don't permute the "coord_delta" and "data->extent().lower()"
+ // (you'll pick up the integer operator* then)
+ const vect<double,dim> coord_lower = global_lower + coord_delta * vect<double,dim>(data->extent().lower());
+ const vect<double,dim> coord_upper = global_lower + coord_delta * vect<double,dim>(data->extent().upper());
+
+ char *gfname = new char[strlen(alias)+strlen(out1D_tag)+1];
+ sprintf(gfname,"%s%s",alias,out1D_tag);
+ write_ser (gfname, data, ext, n, cgh->cctk_iteration, offset1, dirs,
+ tl, reflevel, component, mglevel,
+ coord_time, coord_lower, coord_upper,
+ strip_left, strip_right);
+ delete [] gfname;
+
+ // Append EOL after every component
+ if (CCTK_MyProc(cgh)==0) {
+ if (separate_components) {
+ assert (file.good());
+ file << endl;
+ }
+ }
+ assert (file.good());
+
+ } END_COMPONENT_LOOP(cgh);
+
+ // Append EOL after every complete set of components
+ if (CCTK_MyProc(cgh)==0) {
+ if (separate_grids) {
+ assert (file.good());
+ file << endl;
+ }
+ file.close();
+ assert (file.good());
+ }
+
+ assert (! file.is_open());
+
+ } // if (desired)
+
+ } // if (ascending)
+
+ // Next direction combination
+ done = true;
+ for (int d=0; d<outdim; ++d) {
+ ++dirs[d];
+ if (dirs[d]<CCTK_GroupDimI(group)) {
+ done = false;
+ break;
+ }
+ dirs[d] = 0;
+ }
+
+ } while (! done); // all directions
+
+ // Don't truncate again
+ do_truncate[n] = false;
+
+ return 0;
+}
+
+
+
+template<int outdim>
+int CarpetIOSer<outdim>
+::TimeToOutput (const cGH* const cgh, const int vindex)
+{
+ DECLARE_CCTK_PARAMETERS;
+
+ assert (vindex>=0 && vindex<CCTK_NumVars());
+
+ const int myoutevery = GetIntParameter("out%dD_every", out_every);
+
+ if (myoutevery < 0) {
+ // Nothing should be output at all
+ return 0;
+ }
+
+ if (cgh->cctk_iteration % myoutevery != 0) {
+ // Nothing should be output during this iteration
+ return 0;
+ }
+
+ if (! CheckForVariable(cgh, GetStringParameter("out%dD_vars", ""), vindex)) {
+ // This variable should not be output
+ return 0;
+ }
+
+ if (last_output[reflevel][vindex] == cgh->cctk_iteration) {
+ // Has already been output during this iteration
+ char* varname = CCTK_FullName(vindex);
+ CCTK_VWarn (5, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "Skipping output for variable \"%s\", because this variable "
+ "has already been output during the current iteration -- "
+ "probably via a trigger during the analysis stage",
+ varname);
+ free (varname);
+ return 0;
+ }
+
+ assert (last_output[reflevel][vindex] < cgh->cctk_iteration);
+
+ // Should be output during this iteration
+ return 1;
+}
+
+
+
+template<int outdim>
+int CarpetIOSer<outdim>
+::TriggerOutput (const cGH* const cgh, const int vindex)
+{
+ assert (vindex>=0 && vindex<CCTK_NumVars());
+
+ char* varname = CCTK_FullName(vindex);
+ const int retval = OutputVarAs (cgh, varname, CCTK_VarName(vindex));
+ free (varname);
+
+ last_output[reflevel][vindex] = cgh->cctk_iteration;
+
+ return retval;
+}
+
+
+
+template<int outdim>
+int CarpetIOSer<outdim>
+::GetGridOffset (const cGH* const cgh, const int dir,
+ const char* const itempl, const char* const iglobal,
+ const char* const ctempl, const char* const cglobal,
+ const CCTK_REAL cfallback)
+{
+ // First choice: explicit coordinate
+ char cparam[1000];
+ sprintf (cparam, ctempl, outdim);
+ if (CCTK_ParameterQueryTimesSet (cparam, CCTK_THORNSTRING) > 0) {
+ int ptype;
+ const CCTK_REAL* const pcoord
+ = (const CCTK_REAL*)CCTK_ParameterGet (cparam, CCTK_THORNSTRING, &ptype);
+ assert (pcoord);
+ const CCTK_REAL coord = *pcoord;
+ assert (ptype == PARAMETER_REAL);
+ return CoordToOffset (cgh, dir, coord, 0);
+ }
+
+ // Second choice: explicit index
+ char iparam[1000];
+ sprintf (iparam, itempl, outdim);
+ if (CCTK_ParameterQueryTimesSet (iparam, CCTK_THORNSTRING) > 0) {
+ int ptype;
+ const int* const pindex
+ = (const int*)CCTK_ParameterGet (iparam, CCTK_THORNSTRING, &ptype);
+ assert (pindex);
+ const int index = *pindex;
+ assert (ptype == PARAMETER_INT);
+ return index;
+ }
+
+ // Third choice: explicit global coordinate
+ if (CCTK_ParameterQueryTimesSet (cglobal, "IO") > 0) {
+ int ptype;
+ const CCTK_REAL* const pcoord
+ = (const CCTK_REAL*)CCTK_ParameterGet (cglobal, "IO", &ptype);
+ assert (pcoord);
+ const CCTK_REAL coord = *pcoord;
+ assert (ptype == PARAMETER_REAL);
+ return CoordToOffset (cgh, dir, coord, 0);
+ }
+
+ // Fourth choice: explicit global index
+ if (CCTK_ParameterQueryTimesSet (iglobal, "IO") > 0) {
+ int ptype;
+ const int* const pindex
+ = (const int*)CCTK_ParameterGet (iglobal, "IO", &ptype);
+ assert (pindex);
+ const int index = *pindex;
+ assert (ptype == PARAMETER_INT);
+ return index;
+ }
+
+ // Fifth choice: default coordinate
+ return CoordToOffset (cgh, dir, cfallback, 0);
+}
+
+
+
+template<int outdim>
+int CarpetIOSer<outdim>
+::CoordToOffset (const cGH* cgh, const int dir, const CCTK_REAL coord,
+ const int ifallback)
+{
+ assert (dir>=1 && dir<=dim);
+
+ CCTK_REAL lower, upper;
+ CCTK_CoordRange (cgh, &lower, &upper, dir, 0, "cart3d");
+
+ const int npoints = cgh->cctk_gsh[dir-1];
+
+ const CCTK_REAL rindex = (coord - lower) / (upper - lower) * (npoints-1);
+ const int levfac = cgh->cctk_levfac[dir-1];
+ int cindex = (int)floor(rindex / levfac + 0.5 + 1e-6) * levfac;
+
+ if (cindex<0 || cindex>=npoints) {
+ CCTK_VWarn (1, __LINE__, __FILE__, CCTK_THORNSTRING,
+ "The specified coordinate value %g is not within the grid range [%g,%g]",
+ coord, lower, upper);
+ cindex = ifallback;
+ }
+
+ assert (cindex>=0 && cindex<npoints);
+
+ return cindex;
+}
+
+
+
+template<int outdim>
+const char* CarpetIOSer<outdim>
+::GetStringParameter (const char* const parametertemplate,
+ const char* const fallback)
+{
+ char parametername[1000];
+ sprintf (parametername, parametertemplate, outdim);
+ if (CCTK_ParameterQueryTimesSet (parametername, CCTK_THORNSTRING) > 0) {
+ int ptype;
+ const char* const* const ppval
+ = (const char* const*)CCTK_ParameterGet (parametername, CCTK_THORNSTRING,
+ &ptype);
+ assert (ppval);
+ const char* const pval = *ppval;
+ assert (ptype == PARAMETER_STRING);
+ return pval;
+ }
+
+ return fallback;
+}
+
+
+
+template<int outdim>
+int CarpetIOSer<outdim>
+::GetIntParameter (const char* const parametertemplate, const int fallback)
+{
+ char parametername[1000];
+ sprintf (parametername, parametertemplate, outdim);
+ if (CCTK_ParameterQueryTimesSet (parametername, CCTK_THORNSTRING) > 0) {
+ int ptype;
+ const int* const ppval
+ = (const int*)CCTK_ParameterGet (parametername, CCTK_THORNSTRING,
+ &ptype);
+ assert (ppval);
+ const int pval = *ppval;
+ assert (ptype == PARAMETER_INT);
+ return pval;
+ }
+
+ return fallback;
+}
+
+
+
+bool CheckForVariable (const cGH* const cgh,
+ const char* const varlist, const int vindex)
+{
+ const int numvars = CCTK_NumVars();
+ assert (vindex>=0 && vindex<numvars);
+
+ bool* const flags = (bool*)alloca(numvars * sizeof(bool));
+
+ for (int i=0; i<numvars; ++i) {
+ flags[i] = false;
+ }
+
+ CCTK_TraverseString (varlist, SetFlag, flags, CCTK_GROUP_OR_VAR);
+
+ return flags[vindex];
+}
+
+void SetFlag (int index, const char* optstring, void* arg)
+{
+ ((bool*)arg)[index] = true;
+}
+
+
+// Output
+/*
+template<class T, int D>
+void data<T,D>::assign_ser_output_element (double& range, const vect<int,dim> index)
+{
+ range = (*this)[index];
+}
+*/
+
+
+// Output
+template<int D,int DD>
+void write_ser ( const char *gfname,
+ const generic_data<D>* const gfdata,
+ const bbox<int,D>& gfext,
+ const int vi,
+ const int time,
+ const vect<int,D>& org,
+ const vect<int,DD>& dirs,
+ const int tl,
+ const int rl,
+ const int c,
+ const int ml,
+ const CCTK_REAL coord_time,
+ const vect<CCTK_REAL,D>& coord_lower,
+ const vect<CCTK_REAL,D>& coord_upper,
+ const int strip_left, const int strip_right)
+
+{
+ assert (DD<=D);
+
+ if (gfdata->proc()==0) {
+ // output on processor 0
+
+ int rank;
+ MPI_Comm_rank (dist::comm, &rank);
+ if (rank == 0) {
+
+
+ assert (D>=1 && D<=3);
+ assert (DD==1);
+ const char* const coords = "xyz";
+
+ const vect<int,DD> lo = gfext.lower()[dirs];
+ const vect<int,DD> up = gfext.upper()[dirs];
+ const vect<int,DD> str = gfext.stride()[dirs];
+ const bbox<int,DD> ext(lo,up,str);
+
+ // Check whether the output origin is contained in the extent of
+ // the data
+ vect<int,dim> org1(org);
+ for (int d=0; d<DD; ++d) org1[dirs[d]] = ext.lower()[d];
+ if (gfext.contains(org1)) {
+
+ const int nelems = ext.num_points();
+ double *domain = new double[nelems];
+ double *range = new double[nelems];
+
+ int elem = 0;
+ for (bbox<int,DD>::iterator it=ext.begin(); it!=ext.end(); ++it) {
+ vect<int,dim> index(org);
+ for (int d=0; d<DD; ++d) index[dirs[d]] = (*it)[d];
+ const int d = dirs[0];
+ if (gfext.upper()[d] - gfext.lower()[d] != 0) {
+ domain[elem] = coord_lower[d] + (index[d] - gfext.lower()[d]) *
+(coord_upper[d] - coord_lower[d]) / (gfext.upper()[d] - gfext.lower()[d]); } else {
+ domain[elem] = coord_lower[d];
+ }
+
+// assign_ser_output_element (range[elem], index);
+// range[elem] = (*(data<T,D>*)gfdata)[index];
+// elem++;
+
+// cout << "CarpetIOSer, before switch" << endl << flush;
+
+ switch (CCTK_VarTypeI(vi)) {
+#define TYPECASE(N,T) \
+ case N: \
+ range[elem] = (*(data<T,D>*)gfdata)[index]; \
+ elem++;\
+ break;
+#include "Carpet/Carpet/src/typecase"
+#undef TYPECASE
+ default:
+ UnsupportedVarType(vi);
+ }
+ // cout << "CarpetIOSer, after switch" << endl << flush;
+
+ }
+ assert(elem == nelems);
+
+ char *window_name = new char[strlen(gfname)+100];
+ sprintf(window_name,"%s_l%d.%c",gfname,rl,"xyz"[dirs[0]]);
+ vsxynt(window_name, coord_time, domain+strip_left, range+strip_left,
+ nelems-strip_left-strip_right);
+
+ delete [] window_name;
+ delete [] domain;
+ delete [] range;
+
+ } // if extent().contains(org1)
+
+ }
+
+ } else {
+ // copy to processor 0 and output there
+
+/*
+ generic_data* const tmp = make_typed();
+ tmp->allocate(extent(), 0);
+ tmp->copy_from (this, extent());
+ tmp->write_ser (gfname, time, org, dirs, tl, rl, c, ml,
+ coord_time, coord_lower, coord_upper);
+ delete tmp;
+*/
+
+ generic_data<D>* const tmp = gfdata->make_typed();
+ tmp->allocate(gfdata->extent(), 0);
+ tmp->copy_from (gfdata, gfdata->extent());
+ write_ser (gfname, tmp, gfext, vi, time, org, dirs, tl, rl, c, ml,
+ coord_time, coord_lower, coord_upper, strip_left, strip_right);
+ delete tmp;
+
+
+
+ }
+}
+
+
+
+
+
+// Explicit instantiation for all output dimensions
+template class CarpetIOSer<1>;
+template class CarpetIOSer<2>;
+template class CarpetIOSer<3>;
+
+template
+void write_ser ( const char *gfname,
+ const generic_data<3>* const gfdata,
+ const bbox<int,3>& gfext,
+ const int vi,
+ const int time,
+ const vect<int,3>& org,
+ const vect<int,1>& dirs,
+ const int tl,
+ const int rl,
+ const int c,
+ const int ml,
+ const CCTK_REAL coord_time,
+ const vect<CCTK_REAL,3>& coord_lower,
+ const vect<CCTK_REAL,3>& coord_upper,
+ const int strip_left, const int strip_right);
+
diff --git a/CarpetExtra/CarpetIOSer/src/ioser.h b/CarpetExtra/CarpetIOSer/src/ioser.h
new file mode 100644
index 000000000..2e82702a3
--- /dev/null
+++ b/CarpetExtra/CarpetIOSer/src/ioser.h
@@ -0,0 +1,5 @@
+// $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetIOSer/src/ioser.h,v 1.1.1.1 2002/02/08 14:55:31 shawley Exp $
+
+#include "cctk.h"
+
+int CarpetIOSerStartup (void);
diff --git a/CarpetExtra/CarpetIOSer/src/ioser.hh b/CarpetExtra/CarpetIOSer/src/ioser.hh
new file mode 100644
index 000000000..978a54a9c
--- /dev/null
+++ b/CarpetExtra/CarpetIOSer/src/ioser.hh
@@ -0,0 +1,67 @@
+// $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetIOSer/src/ioser.hh,v 1.1.1.1 2002/02/08 14:55:31 shawley Exp $
+
+#include <vector>
+
+#include "cctk.h"
+
+using namespace std;
+
+
+
+// scheduled functions
+extern "C" {
+ int CarpetIOSerStartup();
+}
+
+
+
+// Everything is a template class, so that it can easily be
+// instantiated for all output dimensions.
+
+template<int outdim>
+struct CarpetIOSer {
+
+ // handle from CCTK_RegisterGHExtension
+ static int GHExtension;
+
+ // handles from CCTK_RegisterIOMethed
+ static int IOMethod;
+
+
+
+ // Do truncate the output files for a variable
+ static vector<bool> do_truncate;
+
+ // Last iteration on which a refinement level of a variable was
+ // output (INT_MIN for none)
+ static vector<vector<int> > last_output; // [rl][var]
+
+
+
+ // scheduled functions
+ static int Startup();
+
+
+
+ // registered functions
+
+ static void* SetupGH (tFleshConfig* fc, int convLevel, cGH* cgh);
+
+ static int OutputGH (const cGH* cgh);
+ static int OutputVarAs (const cGH* cgh,
+ const char* varname, const char* alias);
+ static int TimeToOutput (const cGH* cgh, int vindex);
+ static int TriggerOutput (const cGH* cgh, int vindex);
+
+ static int GetGridOffset (const cGH* cgh, int dir,
+ const char* itempl, const char* iglobal,
+ const char* ctempl, const char* cglobal,
+ CCTK_REAL cfallback);
+ static int CoordToOffset (const cGH* cgh, int dir, CCTK_REAL coord,
+ int ifallback);
+
+ static const char* GetStringParameter
+ (const char* parametertemplate, const char* fallback);
+ static int GetIntParameter (const char* parametertemplate, int fallback);
+
+};
diff --git a/CarpetExtra/CarpetIOSer/src/make.code.defn b/CarpetExtra/CarpetIOSer/src/make.code.defn
new file mode 100644
index 000000000..0451551b3
--- /dev/null
+++ b/CarpetExtra/CarpetIOSer/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn CarpetIOSer
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetIOSer/src/make.code.defn,v 1.1.1.1 2002/02/08 14:55:31 shawley Exp $
+
+# Source files in this directory
+SRCS = ioser.cc
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/CarpetExtra/CarpetIntegrateTest/README b/CarpetExtra/CarpetIntegrateTest/README
new file mode 100644
index 000000000..158305915
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/README
@@ -0,0 +1,10 @@
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetIntegrateTest/README,v 1.1 2004/09/01 17:47:53 schnetter Exp $
+
+Cactus Code Thorn CarpetIntegrateTest
+Thorn Author(s) : Burkhard Zink <bzink@mpa-garching.mpg.de>
+Thorn Maintainer(s) : Erik Schnetter <schnetter@aei.mpg.de>
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+Test integration in Carpet.
diff --git a/CarpetExtra/CarpetIntegrateTest/interface.ccl b/CarpetExtra/CarpetIntegrateTest/interface.ccl
new file mode 100644
index 000000000..6f62ecbe0
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/interface.ccl
@@ -0,0 +1,7 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetIntegrateTest/interface.ccl,v 1.1 2004/09/01 17:47:53 schnetter Exp $
+
+implements: CarpetIntegrateTest
+
+inherits: Reduce Grid Driver
+
+CCTK_REAL integrand TYPE=GF TIMELEVELS=3
diff --git a/CarpetExtra/CarpetIntegrateTest/param.ccl b/CarpetExtra/CarpetIntegrateTest/param.ccl
new file mode 100644
index 000000000..e26d1ca05
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/param.ccl
@@ -0,0 +1 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetIntegrateTest/param.ccl,v 1.1 2004/09/01 17:47:53 schnetter Exp $
diff --git a/CarpetExtra/CarpetIntegrateTest/schedule.ccl b/CarpetExtra/CarpetIntegrateTest/schedule.ccl
new file mode 100644
index 000000000..a9c886518
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/schedule.ccl
@@ -0,0 +1,15 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetIntegrateTest/schedule.ccl,v 1.1 2004/09/01 17:47:53 schnetter Exp $
+
+STORAGE: integrand[3]
+
+schedule CarpetIntegrate_Local IN CCTK_ANALYSIS \
+ BEFORE CarpetIntegrate_Extract
+{
+ LANG: C
+} "Setup integrand function"
+
+schedule CarpetIntegrate_Global IN CCTK_ANALYSIS
+{
+ LANG: C
+ OPTIONS: global
+} "Global integration by reduction"
diff --git a/CarpetExtra/CarpetIntegrateTest/src/Global.cc b/CarpetExtra/CarpetIntegrateTest/src/Global.cc
new file mode 100644
index 000000000..9c36cc992
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/src/Global.cc
@@ -0,0 +1,46 @@
+// $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetIntegrateTest/src/Global.cc,v 1.1 2004/09/01 17:47:53 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+#include "cctk_Arguments.h"
+
+#include "carpet.hh"
+#include "defs.hh"
+#include "vect.hh"
+
+
+#include "util_Table.h"
+
+
+extern "C" { CCTK_INT CarpetIntegrate_Global(CCTK_ARGUMENTS);
+}
+
+CCTK_INT CarpetIntegrate_Global(CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ using namespace std;
+ using namespace Carpet;
+
+ int varindex = -1;
+ int ierr = 0;
+
+ CCTK_REAL integral;
+
+ int reduction_handle = CCTK_ReductionHandle("sum");
+
+ varindex = CCTK_VarIndex("CarpetIntegrate::integrand");
+ assert(varindex>=0);
+ ierr = CCTK_Reduce(cctkGH, -1, reduction_handle,
+ 1, CCTK_VARIABLE_REAL, &integral, 1, varindex);
+ assert(!ierr);
+
+ CCTK_REAL d3x = cctk_delta_space[0]*cctk_delta_space[1]*cctk_delta_space[2];
+ integral *= d3x;
+
+ if (CCTK_MyProc(cctkGH)==0) printf("Integral: %f\n", integral);
+
+ return 0;
+}
+
diff --git a/CarpetExtra/CarpetIntegrateTest/src/Local.cc b/CarpetExtra/CarpetIntegrateTest/src/Local.cc
new file mode 100644
index 000000000..d41b12c9c
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/src/Local.cc
@@ -0,0 +1,70 @@
+// $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetIntegrateTest/src/Local.cc,v 1.1 2004/09/01 17:47:53 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+#include "cctk_Arguments.h"
+
+#include "carpet.hh"
+#include "defs.hh"
+#include "vect.hh"
+
+
+#include "util_Table.h"
+#include "math.h"
+
+extern "C" { CCTK_INT CarpetIntegrate_Local(CCTK_ARGUMENTS);
+}
+
+static void SpatialDeterminant(CCTK_REAL gxx,
+ CCTK_REAL gxy,
+ CCTK_REAL gxz,
+ CCTK_REAL gyy,
+ CCTK_REAL gyz,
+ CCTK_REAL gzz,
+ CCTK_REAL *detg);
+
+CCTK_INT CarpetIntegrate_Local(CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ using namespace std;
+ using namespace Carpet;
+
+ int nx = cctk_lsh[0];
+ int ny = cctk_lsh[1];
+ int nz = cctk_lsh[2];
+
+ for (int k=0;k<nz;k++)
+ for (int j=0;j<ny;j++)
+ for (int i=0;i<nx;i++) {
+ int index = CCTK_GFINDEX3D(cctkGH,i,j,k);
+
+ /*
+ SpatialDeterminant(gxx[index],gxy[index],gxz[index],
+ gyy[index],gyz[index],gzz[index],
+ &detg);
+ */
+
+ integrand[index] = 1;
+
+ }
+
+ return 0;
+}
+
+
+void SpatialDeterminant(CCTK_REAL gxx,
+ CCTK_REAL gxy,
+ CCTK_REAL gxz,
+ CCTK_REAL gyy,
+ CCTK_REAL gyz,
+ CCTK_REAL gzz,
+ CCTK_REAL *detg)
+{
+
+ *detg = -gxz*gxz*gyy + 2.0*gxy*gxz*gyz
+ - gxx*gyz*gyz - gxy*gxy*gzz + gxx*gyy*gzz;
+
+ return;
+}
diff --git a/CarpetExtra/CarpetIntegrateTest/src/make.code.defn b/CarpetExtra/CarpetIntegrateTest/src/make.code.defn
new file mode 100644
index 000000000..61f66d804
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/src/make.code.defn
@@ -0,0 +1,7 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetIntegrateTest/src/make.code.defn,v 1.1 2004/09/01 17:47:53 schnetter Exp $
+
+# Source files in this directory
+SRCS = Local.cc Global.cc
+
+# Subdirectories containing source files
+SUBDIRS =
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate.par b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate.par
new file mode 100644
index 000000000..d41b21c80
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate.par
@@ -0,0 +1,90 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate.par,v 1.1 2004/09/01 17:47:53 schnetter Exp $
+
+#==============================================================================
+# --- Test file for Carpet integration ---
+#==============================================================================
+
+
+#==============================================================================
+# Thorn activation
+#==============================================================================
+
+ActiveThorns = "time carpet carpetlib carpetregrid carpetreduce carpetslab carpetinterp cartgrid3d coordbase symbase boundary iobasic carpetioascii carpetioscalar ioutil carpetiohdf5 carpetintegratetest"
+
+#==============================================================================
+# Directories and recovery
+#==============================================================================
+
+io::out_dir = $parfile
+
+#==============================================================================
+# Time
+#==============================================================================
+
+# cactus::terminate = "never"
+cactus::cctk_itlast = 0
+
+time::dtfac = 0.375
+
+#==============================================================================
+# Grid setup
+#==============================================================================
+
+grid::type = "coordbase"
+grid::domain = "bitant"
+grid::avoid_origin = "no"
+
+carpet::domain_from_coordbase = yes
+driver::ghost_size = 3
+
+coordbase::domainsize = minmax
+coordbase::xmin = -0.5
+coordbase::xmax = 0.5
+coordbase::ymin = -0.5
+coordbase::ymax = 0.5
+coordbase::zmin = -0.0
+coordbase::zmax = 0.5
+
+coordbase::spacing = numcells
+coordbase::ncells_x = 45
+coordbase::ncells_y = 45
+coordbase::ncells_z = 23
+
+coordbase::boundary_size_z_lower = 3
+coordbase::boundary_shiftout_z_lower = 1
+
+carpet::buffer_width = 6
+
+carpet::max_refinement_levels = 12
+carpetregrid::refinement_levels = 3
+
+carpetregrid::refined_regions = "manual-gridpoint-list"
+carpetregrid::gridpoints = "[ [ ([22528,22528,3072]:[67584,67584,28672]:[1024,1024,1024]) ], [ ([33792,33792,4608]:[56320,56320,17408]:[512,512,512]) ], [ ([39424,39424,5376]:[50688,50688,11776]:[256,256,256]) ], [ ([42240,42240,5760]:[47872,47872,8960]:[128,128,128]) ], [ ([43648,43648,5952]:[46464,46464,7552]:[64,64,64]) ], [ ([44352,44352,6048]:[45760,45760,6848]:[32,32,32]) ], [ ([44704,44704,6096]:[45408,45408,6496]:[16,16,16]) ], [ ([44880,44880,6120]:[45232,45232,6320]:[8,8,8]) ], [ ([44968,44968,6132]:[45144,45144,6232]:[4,4,4]) ], [ ([45012,45012,6138]:[45100,45100,6188]:[2,2,2]) ], [ ([45034,45034,6141]:[45078,45078,6166]:[1,1,1]) ] ]"
+carpetregrid::outerbounds = "[ [ [[0,0],[0,0],[1,0]] ], [ [[0,0],[0,0],[1,0]] ], [ [[0,0],[0,0],[1,0]] ], [ [[0,0],[0,0],[1,0]] ], [ [[0,0],[0,0],[1,0]] ], [ [[0,0],[0,0],[1,0]] ], [ [[0,0],[0,0],[1,0]] ], [ [[0,0],[0,0],[1,0]] ], [ [[0,0],[0,0],[1,0]] ], [ [[0,0],[0,0],[1,0]] ], [ [[0,0],[0,0],[1,0]] ] ]"
+
+#==============================================================================
+# Carpet parameters
+#==============================================================================
+
+carpet::init_3_timelevels = yes
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+carpetlib::save_memory_during_regridding = yes
+iohdf5::use_reflevels_from_checkpoint = no
+
+#==============================================================================
+# Output: Scalar and 1D
+#==============================================================================
+
+iobasic::outinfo_every = 1
+
+carpetioscalar::outscalar_every = 1
+
+ioascii::out1d_every = 1
+ioascii::out1d_criterion = "divisor"
+
+iobasic::outinfo_vars = "carpetreduce::weight carpetintegrate::integrand"
+
+carpetioscalar::outscalar_vars = "carpetreduce::weight carpetintegrate::integrand"
+
+ioascii::out1d_vars = "carpetreduce::weight carpetintegrate::integrand"
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.average.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.average.asc
new file mode 100644
index 000000000..3e11efad1
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.average.asc
@@ -0,0 +1,3 @@
+# CARPETINTEGRATE::integrand (integrand)
+# iteration time data
+0 0 1
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.count.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.count.asc
new file mode 100644
index 000000000..0c76198e6
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.count.asc
@@ -0,0 +1,3 @@
+# CARPETINTEGRATE::integrand (integrand)
+# iteration time data
+0 0 46575
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.maximum.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.maximum.asc
new file mode 100644
index 000000000..3e11efad1
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.maximum.asc
@@ -0,0 +1,3 @@
+# CARPETINTEGRATE::integrand (integrand)
+# iteration time data
+0 0 1
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.minimum.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.minimum.asc
new file mode 100644
index 000000000..3e11efad1
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.minimum.asc
@@ -0,0 +1,3 @@
+# CARPETINTEGRATE::integrand (integrand)
+# iteration time data
+0 0 1
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.norm1.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.norm1.asc
new file mode 100644
index 000000000..3e11efad1
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.norm1.asc
@@ -0,0 +1,3 @@
+# CARPETINTEGRATE::integrand (integrand)
+# iteration time data
+0 0 1
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.norm2.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.norm2.asc
new file mode 100644
index 000000000..3e11efad1
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.norm2.asc
@@ -0,0 +1,3 @@
+# CARPETINTEGRATE::integrand (integrand)
+# iteration time data
+0 0 1
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.norm_inf.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.norm_inf.asc
new file mode 100644
index 000000000..3e11efad1
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.norm_inf.asc
@@ -0,0 +1,3 @@
+# CARPETINTEGRATE::integrand (integrand)
+# iteration time data
+0 0 1
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.sum.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.sum.asc
new file mode 100644
index 000000000..0c76198e6
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.sum.asc
@@ -0,0 +1,3 @@
+# CARPETINTEGRATE::integrand (integrand)
+# iteration time data
+0 0 46575
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.x.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.x.asc
new file mode 100644
index 000000000..7d3d7ec8c
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.x.asc
@@ -0,0 +1,165 @@
+# CARPETINTEGRATE::integrand x (integrand)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 47104 6144 0 -0.5 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 2048 47104 6144 0 -0.477777777777778 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 4096 47104 6144 0 -0.455555555555556 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 6144 47104 6144 0 -0.433333333333333 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 8192 47104 6144 0 -0.411111111111111 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 10240 47104 6144 0 -0.388888888888889 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 12288 47104 6144 0 -0.366666666666667 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 14336 47104 6144 0 -0.344444444444444 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 16384 47104 6144 0 -0.322222222222222 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 18432 47104 6144 0 -0.3 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 20480 47104 6144 0 -0.277777777777778 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 22528 47104 6144 0 -0.255555555555556 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 24576 47104 6144 0 -0.233333333333333 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 26624 47104 6144 0 -0.211111111111111 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 28672 47104 6144 0 -0.188888888888889 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 30720 47104 6144 0 -0.166666666666667 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 32768 47104 6144 0 -0.144444444444444 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 34816 47104 6144 0 -0.122222222222222 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 36864 47104 6144 0 -0.1 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 38912 47104 6144 0 -0.0777777777777778 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 40960 47104 6144 0 -0.0555555555555556 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 43008 47104 6144 0 -0.0333333333333333 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 45056 47104 6144 0 -0.0111111111111111 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 47104 47104 6144 0 0.0111111111111111 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 49152 47104 6144 0 0.0333333333333333 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 51200 47104 6144 0 0.0555555555555556 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 53248 47104 6144 0 0.0777777777777778 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 55296 47104 6144 0 0.1 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 57344 47104 6144 0 0.122222222222222 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 59392 47104 6144 0 0.144444444444444 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 61440 47104 6144 0 0.166666666666667 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 63488 47104 6144 0 0.188888888888889 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 65536 47104 6144 0 0.211111111111111 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 67584 47104 6144 0 0.233333333333333 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 69632 47104 6144 0 0.255555555555556 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 71680 47104 6144 0 0.277777777777778 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 73728 47104 6144 0 0.3 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 75776 47104 6144 0 0.322222222222222 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 77824 47104 6144 0 0.344444444444444 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 79872 47104 6144 0 0.366666666666667 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 81920 47104 6144 0 0.388888888888889 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 83968 47104 6144 0 0.411111111111111 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 86016 47104 6144 0 0.433333333333333 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 88064 47104 6144 0 0.455555555555556 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 90112 47104 6144 0 0.477777777777778 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 92160 47104 6144 0 0.5 0.0111111111111111 -4.80437087682639e-18 1
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 19456 46080 6144 0 -0.288888888888889 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 20480 46080 6144 0 -0.277777777777778 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 21504 46080 6144 0 -0.266666666666667 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 22528 46080 6144 0 -0.255555555555556 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 23552 46080 6144 0 -0.244444444444444 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 24576 46080 6144 0 -0.233333333333333 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 25600 46080 6144 0 -0.222222222222222 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 26624 46080 6144 0 -0.211111111111111 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 27648 46080 6144 0 -0.2 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 28672 46080 6144 0 -0.188888888888889 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 29696 46080 6144 0 -0.177777777777778 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 30720 46080 6144 0 -0.166666666666667 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 31744 46080 6144 0 -0.155555555555556 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 32768 46080 6144 0 -0.144444444444444 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 33792 46080 6144 0 -0.133333333333333 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 34816 46080 6144 0 -0.122222222222222 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 35840 46080 6144 0 -0.111111111111111 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 36864 46080 6144 0 -0.1 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 37888 46080 6144 0 -0.0888888888888889 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 38912 46080 6144 0 -0.0777777777777777 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 39936 46080 6144 0 -0.0666666666666666 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 40960 46080 6144 0 -0.0555555555555555 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 41984 46080 6144 0 -0.0444444444444444 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 43008 46080 6144 0 -0.0333333333333333 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 44032 46080 6144 0 -0.0222222222222222 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 45056 46080 6144 0 -0.0111111111111111 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 46080 46080 6144 0 3.9979955110403e-17 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 47104 46080 6144 0 0.0111111111111112 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 48128 46080 6144 0 0.0222222222222223 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 49152 46080 6144 0 0.0333333333333334 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 50176 46080 6144 0 0.0444444444444445 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 51200 46080 6144 0 0.0555555555555556 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 52224 46080 6144 0 0.0666666666666667 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 53248 46080 6144 0 0.0777777777777778 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 54272 46080 6144 0 0.0888888888888889 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 55296 46080 6144 0 0.1 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 56320 46080 6144 0 0.111111111111111 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 57344 46080 6144 0 0.122222222222222 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 58368 46080 6144 0 0.133333333333333 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 59392 46080 6144 0 0.144444444444444 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 60416 46080 6144 0 0.155555555555556 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 61440 46080 6144 0 0.166666666666667 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 62464 46080 6144 0 0.177777777777778 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 63488 46080 6144 0 0.188888888888889 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 64512 46080 6144 0 0.2 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 65536 46080 6144 0 0.211111111111111 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 66560 46080 6144 0 0.222222222222222 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 67584 46080 6144 0 0.233333333333333 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 68608 46080 6144 0 0.244444444444444 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 69632 46080 6144 0 0.255555555555556 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 70656 46080 6144 0 0.266666666666667 3.9979955110403e-17 -7.42000861794767e-19 1
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 32256 46080 6144 0 -0.15 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 32768 46080 6144 0 -0.144444444444444 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 33280 46080 6144 0 -0.138888888888889 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 33792 46080 6144 0 -0.133333333333333 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 34304 46080 6144 0 -0.127777777777778 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 34816 46080 6144 0 -0.122222222222222 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 35328 46080 6144 0 -0.116666666666667 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 35840 46080 6144 0 -0.111111111111111 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 36352 46080 6144 0 -0.105555555555556 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 36864 46080 6144 0 -0.1 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 37376 46080 6144 0 -0.0944444444444444 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 37888 46080 6144 0 -0.0888888888888889 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 38400 46080 6144 0 -0.0833333333333333 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 38912 46080 6144 0 -0.0777777777777778 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 39424 46080 6144 0 -0.0722222222222222 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 39936 46080 6144 0 -0.0666666666666667 9.98821251402271e-18 -3.46944695195361e-18 1
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+0 0 2 0 0 42496 46080 6144 0 -0.0388888888888889 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 43008 46080 6144 0 -0.0333333333333333 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 43520 46080 6144 0 -0.0277777777777778 9.98821251402271e-18 -3.46944695195361e-18 1
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+0 0 2 0 0 44544 46080 6144 0 -0.0166666666666667 9.98821251402271e-18 -3.46944695195361e-18 1
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+0 0 2 0 0 45568 46080 6144 0 -0.00555555555555554 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 46080 46080 6144 0 9.98821251402271e-18 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 46592 46080 6144 0 0.00555555555555556 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 47104 46080 6144 0 0.0111111111111111 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 47616 46080 6144 0 0.0166666666666667 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 48128 46080 6144 0 0.0222222222222222 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 48640 46080 6144 0 0.0277777777777778 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 49152 46080 6144 0 0.0333333333333333 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 49664 46080 6144 0 0.0388888888888889 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 50176 46080 6144 0 0.0444444444444444 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 50688 46080 6144 0 0.05 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 51200 46080 6144 0 0.0555555555555556 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 51712 46080 6144 0 0.0611111111111111 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 52224 46080 6144 0 0.0666666666666667 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 52736 46080 6144 0 0.0722222222222222 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 53248 46080 6144 0 0.0777777777777778 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 53760 46080 6144 0 0.0833333333333333 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 54272 46080 6144 0 0.0888888888888889 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 54784 46080 6144 0 0.0944444444444444 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 55296 46080 6144 0 0.1 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 55808 46080 6144 0 0.105555555555556 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 56320 46080 6144 0 0.111111111111111 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 56832 46080 6144 0 0.116666666666667 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 57344 46080 6144 0 0.122222222222222 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 57856 46080 6144 0 0.127777777777778 9.98821251402271e-18 -3.46944695195361e-18 1
+
+
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.y.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.y.asc
new file mode 100644
index 000000000..e5b598a2a
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.y.asc
@@ -0,0 +1,165 @@
+# CARPETINTEGRATE::integrand y (integrand)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 47104 0 6144 0 0.0111111111111111 -0.5 -4.80437087682639e-18 1
+0 0 0 0 0 47104 2048 6144 0 0.0111111111111111 -0.477777777777778 -4.80437087682639e-18 1
+0 0 0 0 0 47104 4096 6144 0 0.0111111111111111 -0.455555555555556 -4.80437087682639e-18 1
+0 0 0 0 0 47104 6144 6144 0 0.0111111111111111 -0.433333333333333 -4.80437087682639e-18 1
+0 0 0 0 0 47104 8192 6144 0 0.0111111111111111 -0.411111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 47104 10240 6144 0 0.0111111111111111 -0.388888888888889 -4.80437087682639e-18 1
+0 0 0 0 0 47104 12288 6144 0 0.0111111111111111 -0.366666666666667 -4.80437087682639e-18 1
+0 0 0 0 0 47104 14336 6144 0 0.0111111111111111 -0.344444444444444 -4.80437087682639e-18 1
+0 0 0 0 0 47104 16384 6144 0 0.0111111111111111 -0.322222222222222 -4.80437087682639e-18 1
+0 0 0 0 0 47104 18432 6144 0 0.0111111111111111 -0.3 -4.80437087682639e-18 1
+0 0 0 0 0 47104 20480 6144 0 0.0111111111111111 -0.277777777777778 -4.80437087682639e-18 1
+0 0 0 0 0 47104 22528 6144 0 0.0111111111111111 -0.255555555555556 -4.80437087682639e-18 1
+0 0 0 0 0 47104 24576 6144 0 0.0111111111111111 -0.233333333333333 -4.80437087682639e-18 1
+0 0 0 0 0 47104 26624 6144 0 0.0111111111111111 -0.211111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 47104 28672 6144 0 0.0111111111111111 -0.188888888888889 -4.80437087682639e-18 1
+0 0 0 0 0 47104 30720 6144 0 0.0111111111111111 -0.166666666666667 -4.80437087682639e-18 1
+0 0 0 0 0 47104 32768 6144 0 0.0111111111111111 -0.144444444444444 -4.80437087682639e-18 1
+0 0 0 0 0 47104 34816 6144 0 0.0111111111111111 -0.122222222222222 -4.80437087682639e-18 1
+0 0 0 0 0 47104 36864 6144 0 0.0111111111111111 -0.1 -4.80437087682639e-18 1
+0 0 0 0 0 47104 38912 6144 0 0.0111111111111111 -0.0777777777777778 -4.80437087682639e-18 1
+0 0 0 0 0 47104 40960 6144 0 0.0111111111111111 -0.0555555555555556 -4.80437087682639e-18 1
+0 0 0 0 0 47104 43008 6144 0 0.0111111111111111 -0.0333333333333333 -4.80437087682639e-18 1
+0 0 0 0 0 47104 45056 6144 0 0.0111111111111111 -0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 47104 47104 6144 0 0.0111111111111111 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 47104 49152 6144 0 0.0111111111111111 0.0333333333333333 -4.80437087682639e-18 1
+0 0 0 0 0 47104 51200 6144 0 0.0111111111111111 0.0555555555555556 -4.80437087682639e-18 1
+0 0 0 0 0 47104 53248 6144 0 0.0111111111111111 0.0777777777777778 -4.80437087682639e-18 1
+0 0 0 0 0 47104 55296 6144 0 0.0111111111111111 0.1 -4.80437087682639e-18 1
+0 0 0 0 0 47104 57344 6144 0 0.0111111111111111 0.122222222222222 -4.80437087682639e-18 1
+0 0 0 0 0 47104 59392 6144 0 0.0111111111111111 0.144444444444444 -4.80437087682639e-18 1
+0 0 0 0 0 47104 61440 6144 0 0.0111111111111111 0.166666666666667 -4.80437087682639e-18 1
+0 0 0 0 0 47104 63488 6144 0 0.0111111111111111 0.188888888888889 -4.80437087682639e-18 1
+0 0 0 0 0 47104 65536 6144 0 0.0111111111111111 0.211111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 47104 67584 6144 0 0.0111111111111111 0.233333333333333 -4.80437087682639e-18 1
+0 0 0 0 0 47104 69632 6144 0 0.0111111111111111 0.255555555555556 -4.80437087682639e-18 1
+0 0 0 0 0 47104 71680 6144 0 0.0111111111111111 0.277777777777778 -4.80437087682639e-18 1
+0 0 0 0 0 47104 73728 6144 0 0.0111111111111111 0.3 -4.80437087682639e-18 1
+0 0 0 0 0 47104 75776 6144 0 0.0111111111111111 0.322222222222222 -4.80437087682639e-18 1
+0 0 0 0 0 47104 77824 6144 0 0.0111111111111111 0.344444444444444 -4.80437087682639e-18 1
+0 0 0 0 0 47104 79872 6144 0 0.0111111111111111 0.366666666666667 -4.80437087682639e-18 1
+0 0 0 0 0 47104 81920 6144 0 0.0111111111111111 0.388888888888889 -4.80437087682639e-18 1
+0 0 0 0 0 47104 83968 6144 0 0.0111111111111111 0.411111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 47104 86016 6144 0 0.0111111111111111 0.433333333333333 -4.80437087682639e-18 1
+0 0 0 0 0 47104 88064 6144 0 0.0111111111111111 0.455555555555556 -4.80437087682639e-18 1
+0 0 0 0 0 47104 90112 6144 0 0.0111111111111111 0.477777777777778 -4.80437087682639e-18 1
+0 0 0 0 0 47104 92160 6144 0 0.0111111111111111 0.5 -4.80437087682639e-18 1
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 46080 19456 6144 0 3.9979955110403e-17 -0.288888888888889 -7.42000861794767e-19 1
+0 0 1 0 0 46080 20480 6144 0 3.9979955110403e-17 -0.277777777777778 -7.42000861794767e-19 1
+0 0 1 0 0 46080 21504 6144 0 3.9979955110403e-17 -0.266666666666667 -7.42000861794767e-19 1
+0 0 1 0 0 46080 22528 6144 0 3.9979955110403e-17 -0.255555555555556 -7.42000861794767e-19 1
+0 0 1 0 0 46080 23552 6144 0 3.9979955110403e-17 -0.244444444444444 -7.42000861794767e-19 1
+0 0 1 0 0 46080 24576 6144 0 3.9979955110403e-17 -0.233333333333333 -7.42000861794767e-19 1
+0 0 1 0 0 46080 25600 6144 0 3.9979955110403e-17 -0.222222222222222 -7.42000861794767e-19 1
+0 0 1 0 0 46080 26624 6144 0 3.9979955110403e-17 -0.211111111111111 -7.42000861794767e-19 1
+0 0 1 0 0 46080 27648 6144 0 3.9979955110403e-17 -0.2 -7.42000861794767e-19 1
+0 0 1 0 0 46080 28672 6144 0 3.9979955110403e-17 -0.188888888888889 -7.42000861794767e-19 1
+0 0 1 0 0 46080 29696 6144 0 3.9979955110403e-17 -0.177777777777778 -7.42000861794767e-19 1
+0 0 1 0 0 46080 30720 6144 0 3.9979955110403e-17 -0.166666666666667 -7.42000861794767e-19 1
+0 0 1 0 0 46080 31744 6144 0 3.9979955110403e-17 -0.155555555555556 -7.42000861794767e-19 1
+0 0 1 0 0 46080 32768 6144 0 3.9979955110403e-17 -0.144444444444444 -7.42000861794767e-19 1
+0 0 1 0 0 46080 33792 6144 0 3.9979955110403e-17 -0.133333333333333 -7.42000861794767e-19 1
+0 0 1 0 0 46080 34816 6144 0 3.9979955110403e-17 -0.122222222222222 -7.42000861794767e-19 1
+0 0 1 0 0 46080 35840 6144 0 3.9979955110403e-17 -0.111111111111111 -7.42000861794767e-19 1
+0 0 1 0 0 46080 36864 6144 0 3.9979955110403e-17 -0.1 -7.42000861794767e-19 1
+0 0 1 0 0 46080 37888 6144 0 3.9979955110403e-17 -0.0888888888888889 -7.42000861794767e-19 1
+0 0 1 0 0 46080 38912 6144 0 3.9979955110403e-17 -0.0777777777777777 -7.42000861794767e-19 1
+0 0 1 0 0 46080 39936 6144 0 3.9979955110403e-17 -0.0666666666666666 -7.42000861794767e-19 1
+0 0 1 0 0 46080 40960 6144 0 3.9979955110403e-17 -0.0555555555555555 -7.42000861794767e-19 1
+0 0 1 0 0 46080 41984 6144 0 3.9979955110403e-17 -0.0444444444444444 -7.42000861794767e-19 1
+0 0 1 0 0 46080 43008 6144 0 3.9979955110403e-17 -0.0333333333333333 -7.42000861794767e-19 1
+0 0 1 0 0 46080 44032 6144 0 3.9979955110403e-17 -0.0222222222222222 -7.42000861794767e-19 1
+0 0 1 0 0 46080 45056 6144 0 3.9979955110403e-17 -0.0111111111111111 -7.42000861794767e-19 1
+0 0 1 0 0 46080 46080 6144 0 3.9979955110403e-17 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 46080 47104 6144 0 3.9979955110403e-17 0.0111111111111112 -7.42000861794767e-19 1
+0 0 1 0 0 46080 48128 6144 0 3.9979955110403e-17 0.0222222222222223 -7.42000861794767e-19 1
+0 0 1 0 0 46080 49152 6144 0 3.9979955110403e-17 0.0333333333333334 -7.42000861794767e-19 1
+0 0 1 0 0 46080 50176 6144 0 3.9979955110403e-17 0.0444444444444445 -7.42000861794767e-19 1
+0 0 1 0 0 46080 51200 6144 0 3.9979955110403e-17 0.0555555555555556 -7.42000861794767e-19 1
+0 0 1 0 0 46080 52224 6144 0 3.9979955110403e-17 0.0666666666666667 -7.42000861794767e-19 1
+0 0 1 0 0 46080 53248 6144 0 3.9979955110403e-17 0.0777777777777778 -7.42000861794767e-19 1
+0 0 1 0 0 46080 54272 6144 0 3.9979955110403e-17 0.0888888888888889 -7.42000861794767e-19 1
+0 0 1 0 0 46080 55296 6144 0 3.9979955110403e-17 0.1 -7.42000861794767e-19 1
+0 0 1 0 0 46080 56320 6144 0 3.9979955110403e-17 0.111111111111111 -7.42000861794767e-19 1
+0 0 1 0 0 46080 57344 6144 0 3.9979955110403e-17 0.122222222222222 -7.42000861794767e-19 1
+0 0 1 0 0 46080 58368 6144 0 3.9979955110403e-17 0.133333333333333 -7.42000861794767e-19 1
+0 0 1 0 0 46080 59392 6144 0 3.9979955110403e-17 0.144444444444444 -7.42000861794767e-19 1
+0 0 1 0 0 46080 60416 6144 0 3.9979955110403e-17 0.155555555555556 -7.42000861794767e-19 1
+0 0 1 0 0 46080 61440 6144 0 3.9979955110403e-17 0.166666666666667 -7.42000861794767e-19 1
+0 0 1 0 0 46080 62464 6144 0 3.9979955110403e-17 0.177777777777778 -7.42000861794767e-19 1
+0 0 1 0 0 46080 63488 6144 0 3.9979955110403e-17 0.188888888888889 -7.42000861794767e-19 1
+0 0 1 0 0 46080 64512 6144 0 3.9979955110403e-17 0.2 -7.42000861794767e-19 1
+0 0 1 0 0 46080 65536 6144 0 3.9979955110403e-17 0.211111111111111 -7.42000861794767e-19 1
+0 0 1 0 0 46080 66560 6144 0 3.9979955110403e-17 0.222222222222222 -7.42000861794767e-19 1
+0 0 1 0 0 46080 67584 6144 0 3.9979955110403e-17 0.233333333333333 -7.42000861794767e-19 1
+0 0 1 0 0 46080 68608 6144 0 3.9979955110403e-17 0.244444444444444 -7.42000861794767e-19 1
+0 0 1 0 0 46080 69632 6144 0 3.9979955110403e-17 0.255555555555556 -7.42000861794767e-19 1
+0 0 1 0 0 46080 70656 6144 0 3.9979955110403e-17 0.266666666666667 -7.42000861794767e-19 1
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 46080 32256 6144 0 9.98821251402271e-18 -0.15 -3.46944695195361e-18 1
+0 0 2 0 0 46080 32768 6144 0 9.98821251402271e-18 -0.144444444444444 -3.46944695195361e-18 1
+0 0 2 0 0 46080 33280 6144 0 9.98821251402271e-18 -0.138888888888889 -3.46944695195361e-18 1
+0 0 2 0 0 46080 33792 6144 0 9.98821251402271e-18 -0.133333333333333 -3.46944695195361e-18 1
+0 0 2 0 0 46080 34304 6144 0 9.98821251402271e-18 -0.127777777777778 -3.46944695195361e-18 1
+0 0 2 0 0 46080 34816 6144 0 9.98821251402271e-18 -0.122222222222222 -3.46944695195361e-18 1
+0 0 2 0 0 46080 35328 6144 0 9.98821251402271e-18 -0.116666666666667 -3.46944695195361e-18 1
+0 0 2 0 0 46080 35840 6144 0 9.98821251402271e-18 -0.111111111111111 -3.46944695195361e-18 1
+0 0 2 0 0 46080 36352 6144 0 9.98821251402271e-18 -0.105555555555556 -3.46944695195361e-18 1
+0 0 2 0 0 46080 36864 6144 0 9.98821251402271e-18 -0.1 -3.46944695195361e-18 1
+0 0 2 0 0 46080 37376 6144 0 9.98821251402271e-18 -0.0944444444444444 -3.46944695195361e-18 1
+0 0 2 0 0 46080 37888 6144 0 9.98821251402271e-18 -0.0888888888888889 -3.46944695195361e-18 1
+0 0 2 0 0 46080 38400 6144 0 9.98821251402271e-18 -0.0833333333333333 -3.46944695195361e-18 1
+0 0 2 0 0 46080 38912 6144 0 9.98821251402271e-18 -0.0777777777777778 -3.46944695195361e-18 1
+0 0 2 0 0 46080 39424 6144 0 9.98821251402271e-18 -0.0722222222222222 -3.46944695195361e-18 1
+0 0 2 0 0 46080 39936 6144 0 9.98821251402271e-18 -0.0666666666666667 -3.46944695195361e-18 1
+0 0 2 0 0 46080 40448 6144 0 9.98821251402271e-18 -0.0611111111111111 -3.46944695195361e-18 1
+0 0 2 0 0 46080 40960 6144 0 9.98821251402271e-18 -0.0555555555555555 -3.46944695195361e-18 1
+0 0 2 0 0 46080 41472 6144 0 9.98821251402271e-18 -0.05 -3.46944695195361e-18 1
+0 0 2 0 0 46080 41984 6144 0 9.98821251402271e-18 -0.0444444444444444 -3.46944695195361e-18 1
+0 0 2 0 0 46080 42496 6144 0 9.98821251402271e-18 -0.0388888888888889 -3.46944695195361e-18 1
+0 0 2 0 0 46080 43008 6144 0 9.98821251402271e-18 -0.0333333333333333 -3.46944695195361e-18 1
+0 0 2 0 0 46080 43520 6144 0 9.98821251402271e-18 -0.0277777777777778 -3.46944695195361e-18 1
+0 0 2 0 0 46080 44032 6144 0 9.98821251402271e-18 -0.0222222222222222 -3.46944695195361e-18 1
+0 0 2 0 0 46080 44544 6144 0 9.98821251402271e-18 -0.0166666666666667 -3.46944695195361e-18 1
+0 0 2 0 0 46080 45056 6144 0 9.98821251402271e-18 -0.0111111111111111 -3.46944695195361e-18 1
+0 0 2 0 0 46080 45568 6144 0 9.98821251402271e-18 -0.00555555555555554 -3.46944695195361e-18 1
+0 0 2 0 0 46080 46080 6144 0 9.98821251402271e-18 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 46080 46592 6144 0 9.98821251402271e-18 0.00555555555555556 -3.46944695195361e-18 1
+0 0 2 0 0 46080 47104 6144 0 9.98821251402271e-18 0.0111111111111111 -3.46944695195361e-18 1
+0 0 2 0 0 46080 47616 6144 0 9.98821251402271e-18 0.0166666666666667 -3.46944695195361e-18 1
+0 0 2 0 0 46080 48128 6144 0 9.98821251402271e-18 0.0222222222222222 -3.46944695195361e-18 1
+0 0 2 0 0 46080 48640 6144 0 9.98821251402271e-18 0.0277777777777778 -3.46944695195361e-18 1
+0 0 2 0 0 46080 49152 6144 0 9.98821251402271e-18 0.0333333333333333 -3.46944695195361e-18 1
+0 0 2 0 0 46080 49664 6144 0 9.98821251402271e-18 0.0388888888888889 -3.46944695195361e-18 1
+0 0 2 0 0 46080 50176 6144 0 9.98821251402271e-18 0.0444444444444444 -3.46944695195361e-18 1
+0 0 2 0 0 46080 50688 6144 0 9.98821251402271e-18 0.05 -3.46944695195361e-18 1
+0 0 2 0 0 46080 51200 6144 0 9.98821251402271e-18 0.0555555555555556 -3.46944695195361e-18 1
+0 0 2 0 0 46080 51712 6144 0 9.98821251402271e-18 0.0611111111111111 -3.46944695195361e-18 1
+0 0 2 0 0 46080 52224 6144 0 9.98821251402271e-18 0.0666666666666667 -3.46944695195361e-18 1
+0 0 2 0 0 46080 52736 6144 0 9.98821251402271e-18 0.0722222222222222 -3.46944695195361e-18 1
+0 0 2 0 0 46080 53248 6144 0 9.98821251402271e-18 0.0777777777777778 -3.46944695195361e-18 1
+0 0 2 0 0 46080 53760 6144 0 9.98821251402271e-18 0.0833333333333333 -3.46944695195361e-18 1
+0 0 2 0 0 46080 54272 6144 0 9.98821251402271e-18 0.0888888888888889 -3.46944695195361e-18 1
+0 0 2 0 0 46080 54784 6144 0 9.98821251402271e-18 0.0944444444444444 -3.46944695195361e-18 1
+0 0 2 0 0 46080 55296 6144 0 9.98821251402271e-18 0.1 -3.46944695195361e-18 1
+0 0 2 0 0 46080 55808 6144 0 9.98821251402271e-18 0.105555555555556 -3.46944695195361e-18 1
+0 0 2 0 0 46080 56320 6144 0 9.98821251402271e-18 0.111111111111111 -3.46944695195361e-18 1
+0 0 2 0 0 46080 56832 6144 0 9.98821251402271e-18 0.116666666666667 -3.46944695195361e-18 1
+0 0 2 0 0 46080 57344 6144 0 9.98821251402271e-18 0.122222222222222 -3.46944695195361e-18 1
+0 0 2 0 0 46080 57856 6144 0 9.98821251402271e-18 0.127777777777778 -3.46944695195361e-18 1
+
+
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.z.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.z.asc
new file mode 100644
index 000000000..3f0fc0638
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/integrand.z.asc
@@ -0,0 +1,102 @@
+# CARPETINTEGRATE::integrand z (integrand)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 47104 47104 0 0 0.0111111111111111 0.0111111111111111 -0.0652173913043478 1
+0 0 0 0 0 47104 47104 2048 0 0.0111111111111111 0.0111111111111111 -0.0434782608695652 1
+0 0 0 0 0 47104 47104 4096 0 0.0111111111111111 0.0111111111111111 -0.0217391304347826 1
+0 0 0 0 0 47104 47104 6144 0 0.0111111111111111 0.0111111111111111 -4.80437087682639e-18 1
+0 0 0 0 0 47104 47104 8192 0 0.0111111111111111 0.0111111111111111 0.0217391304347826 1
+0 0 0 0 0 47104 47104 10240 0 0.0111111111111111 0.0111111111111111 0.0434782608695652 1
+0 0 0 0 0 47104 47104 12288 0 0.0111111111111111 0.0111111111111111 0.0652173913043478 1
+0 0 0 0 0 47104 47104 14336 0 0.0111111111111111 0.0111111111111111 0.0869565217391304 1
+0 0 0 0 0 47104 47104 16384 0 0.0111111111111111 0.0111111111111111 0.108695652173913 1
+0 0 0 0 0 47104 47104 18432 0 0.0111111111111111 0.0111111111111111 0.130434782608696 1
+0 0 0 0 0 47104 47104 20480 0 0.0111111111111111 0.0111111111111111 0.152173913043478 1
+0 0 0 0 0 47104 47104 22528 0 0.0111111111111111 0.0111111111111111 0.173913043478261 1
+0 0 0 0 0 47104 47104 24576 0 0.0111111111111111 0.0111111111111111 0.195652173913043 1
+0 0 0 0 0 47104 47104 26624 0 0.0111111111111111 0.0111111111111111 0.217391304347826 1
+0 0 0 0 0 47104 47104 28672 0 0.0111111111111111 0.0111111111111111 0.239130434782609 1
+0 0 0 0 0 47104 47104 30720 0 0.0111111111111111 0.0111111111111111 0.260869565217391 1
+0 0 0 0 0 47104 47104 32768 0 0.0111111111111111 0.0111111111111111 0.282608695652174 1
+0 0 0 0 0 47104 47104 34816 0 0.0111111111111111 0.0111111111111111 0.304347826086956 1
+0 0 0 0 0 47104 47104 36864 0 0.0111111111111111 0.0111111111111111 0.326086956521739 1
+0 0 0 0 0 47104 47104 38912 0 0.0111111111111111 0.0111111111111111 0.347826086956522 1
+0 0 0 0 0 47104 47104 40960 0 0.0111111111111111 0.0111111111111111 0.369565217391304 1
+0 0 0 0 0 47104 47104 43008 0 0.0111111111111111 0.0111111111111111 0.391304347826087 1
+0 0 0 0 0 47104 47104 45056 0 0.0111111111111111 0.0111111111111111 0.41304347826087 1
+0 0 0 0 0 47104 47104 47104 0 0.0111111111111111 0.0111111111111111 0.434782608695652 1
+0 0 0 0 0 47104 47104 49152 0 0.0111111111111111 0.0111111111111111 0.456521739130435 1
+0 0 0 0 0 47104 47104 51200 0 0.0111111111111111 0.0111111111111111 0.478260869565217 1
+0 0 0 0 0 47104 47104 53248 0 0.0111111111111111 0.0111111111111111 0.5 1
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 46080 46080 3072 0 3.9979955110403e-17 3.9979955110403e-17 -0.0326086956521739 1
+0 0 1 0 0 46080 46080 4096 0 3.9979955110403e-17 3.9979955110403e-17 -0.0217391304347826 1
+0 0 1 0 0 46080 46080 5120 0 3.9979955110403e-17 3.9979955110403e-17 -0.0108695652173913 1
+0 0 1 0 0 46080 46080 6144 0 3.9979955110403e-17 3.9979955110403e-17 -7.42000861794767e-19 1
+0 0 1 0 0 46080 46080 7168 0 3.9979955110403e-17 3.9979955110403e-17 0.0108695652173913 1
+0 0 1 0 0 46080 46080 8192 0 3.9979955110403e-17 3.9979955110403e-17 0.0217391304347826 1
+0 0 1 0 0 46080 46080 9216 0 3.9979955110403e-17 3.9979955110403e-17 0.0326086956521739 1
+0 0 1 0 0 46080 46080 10240 0 3.9979955110403e-17 3.9979955110403e-17 0.0434782608695652 1
+0 0 1 0 0 46080 46080 11264 0 3.9979955110403e-17 3.9979955110403e-17 0.0543478260869565 1
+0 0 1 0 0 46080 46080 12288 0 3.9979955110403e-17 3.9979955110403e-17 0.0652173913043478 1
+0 0 1 0 0 46080 46080 13312 0 3.9979955110403e-17 3.9979955110403e-17 0.0760869565217391 1
+0 0 1 0 0 46080 46080 14336 0 3.9979955110403e-17 3.9979955110403e-17 0.0869565217391304 1
+0 0 1 0 0 46080 46080 15360 0 3.9979955110403e-17 3.9979955110403e-17 0.0978260869565217 1
+0 0 1 0 0 46080 46080 16384 0 3.9979955110403e-17 3.9979955110403e-17 0.108695652173913 1
+0 0 1 0 0 46080 46080 17408 0 3.9979955110403e-17 3.9979955110403e-17 0.119565217391304 1
+0 0 1 0 0 46080 46080 18432 0 3.9979955110403e-17 3.9979955110403e-17 0.130434782608696 1
+0 0 1 0 0 46080 46080 19456 0 3.9979955110403e-17 3.9979955110403e-17 0.141304347826087 1
+0 0 1 0 0 46080 46080 20480 0 3.9979955110403e-17 3.9979955110403e-17 0.152173913043478 1
+0 0 1 0 0 46080 46080 21504 0 3.9979955110403e-17 3.9979955110403e-17 0.16304347826087 1
+0 0 1 0 0 46080 46080 22528 0 3.9979955110403e-17 3.9979955110403e-17 0.173913043478261 1
+0 0 1 0 0 46080 46080 23552 0 3.9979955110403e-17 3.9979955110403e-17 0.184782608695652 1
+0 0 1 0 0 46080 46080 24576 0 3.9979955110403e-17 3.9979955110403e-17 0.195652173913043 1
+0 0 1 0 0 46080 46080 25600 0 3.9979955110403e-17 3.9979955110403e-17 0.206521739130435 1
+0 0 1 0 0 46080 46080 26624 0 3.9979955110403e-17 3.9979955110403e-17 0.217391304347826 1
+0 0 1 0 0 46080 46080 27648 0 3.9979955110403e-17 3.9979955110403e-17 0.228260869565217 1
+0 0 1 0 0 46080 46080 28672 0 3.9979955110403e-17 3.9979955110403e-17 0.239130434782609 1
+0 0 1 0 0 46080 46080 29696 0 3.9979955110403e-17 3.9979955110403e-17 0.25 1
+0 0 1 0 0 46080 46080 30720 0 3.9979955110403e-17 3.9979955110403e-17 0.260869565217391 1
+0 0 1 0 0 46080 46080 31744 0 3.9979955110403e-17 3.9979955110403e-17 0.271739130434783 1
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 46080 46080 4608 0 9.98821251402271e-18 9.98821251402271e-18 -0.016304347826087 1
+0 0 2 0 0 46080 46080 5120 0 9.98821251402271e-18 9.98821251402271e-18 -0.0108695652173913 1
+0 0 2 0 0 46080 46080 5632 0 9.98821251402271e-18 9.98821251402271e-18 -0.00543478260869566 1
+0 0 2 0 0 46080 46080 6144 0 9.98821251402271e-18 9.98821251402271e-18 -3.46944695195361e-18 1
+0 0 2 0 0 46080 46080 6656 0 9.98821251402271e-18 9.98821251402271e-18 0.00543478260869565 1
+0 0 2 0 0 46080 46080 7168 0 9.98821251402271e-18 9.98821251402271e-18 0.0108695652173913 1
+0 0 2 0 0 46080 46080 7680 0 9.98821251402271e-18 9.98821251402271e-18 0.016304347826087 1
+0 0 2 0 0 46080 46080 8192 0 9.98821251402271e-18 9.98821251402271e-18 0.0217391304347826 1
+0 0 2 0 0 46080 46080 8704 0 9.98821251402271e-18 9.98821251402271e-18 0.0271739130434783 1
+0 0 2 0 0 46080 46080 9216 0 9.98821251402271e-18 9.98821251402271e-18 0.0326086956521739 1
+0 0 2 0 0 46080 46080 9728 0 9.98821251402271e-18 9.98821251402271e-18 0.0380434782608696 1
+0 0 2 0 0 46080 46080 10240 0 9.98821251402271e-18 9.98821251402271e-18 0.0434782608695652 1
+0 0 2 0 0 46080 46080 10752 0 9.98821251402271e-18 9.98821251402271e-18 0.0489130434782609 1
+0 0 2 0 0 46080 46080 11264 0 9.98821251402271e-18 9.98821251402271e-18 0.0543478260869565 1
+0 0 2 0 0 46080 46080 11776 0 9.98821251402271e-18 9.98821251402271e-18 0.0597826086956522 1
+0 0 2 0 0 46080 46080 12288 0 9.98821251402271e-18 9.98821251402271e-18 0.0652173913043478 1
+0 0 2 0 0 46080 46080 12800 0 9.98821251402271e-18 9.98821251402271e-18 0.0706521739130435 1
+0 0 2 0 0 46080 46080 13312 0 9.98821251402271e-18 9.98821251402271e-18 0.0760869565217391 1
+0 0 2 0 0 46080 46080 13824 0 9.98821251402271e-18 9.98821251402271e-18 0.0815217391304348 1
+0 0 2 0 0 46080 46080 14336 0 9.98821251402271e-18 9.98821251402271e-18 0.0869565217391304 1
+0 0 2 0 0 46080 46080 14848 0 9.98821251402271e-18 9.98821251402271e-18 0.0923913043478261 1
+0 0 2 0 0 46080 46080 15360 0 9.98821251402271e-18 9.98821251402271e-18 0.0978260869565217 1
+0 0 2 0 0 46080 46080 15872 0 9.98821251402271e-18 9.98821251402271e-18 0.103260869565217 1
+0 0 2 0 0 46080 46080 16384 0 9.98821251402271e-18 9.98821251402271e-18 0.108695652173913 1
+0 0 2 0 0 46080 46080 16896 0 9.98821251402271e-18 9.98821251402271e-18 0.114130434782609 1
+0 0 2 0 0 46080 46080 17408 0 9.98821251402271e-18 9.98821251402271e-18 0.119565217391304 1
+0 0 2 0 0 46080 46080 17920 0 9.98821251402271e-18 9.98821251402271e-18 0.125 1
+0 0 2 0 0 46080 46080 18432 0 9.98821251402271e-18 9.98821251402271e-18 0.130434782608696 1
+0 0 2 0 0 46080 46080 18944 0 9.98821251402271e-18 9.98821251402271e-18 0.135869565217391 1
+
+
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.average.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.average.asc
new file mode 100644
index 000000000..fd93cc712
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.average.asc
@@ -0,0 +1,3 @@
+# CARPETREDUCE::weight (weight)
+# iteration time data
+0 0 0.945363451086957
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.count.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.count.asc
new file mode 100644
index 000000000..44cecb292
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.count.asc
@@ -0,0 +1,3 @@
+# CARPETREDUCE::weight (weight)
+# iteration time data
+0 0 46575
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.maximum.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.maximum.asc
new file mode 100644
index 000000000..415213f82
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.maximum.asc
@@ -0,0 +1,3 @@
+# CARPETREDUCE::weight (weight)
+# iteration time data
+0 0 1
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.minimum.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.minimum.asc
new file mode 100644
index 000000000..5a21e6282
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.minimum.asc
@@ -0,0 +1,3 @@
+# CARPETREDUCE::weight (weight)
+# iteration time data
+0 0 0.125
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.norm1.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.norm1.asc
new file mode 100644
index 000000000..fd93cc712
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.norm1.asc
@@ -0,0 +1,3 @@
+# CARPETREDUCE::weight (weight)
+# iteration time data
+0 0 0.945363451086957
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.norm2.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.norm2.asc
new file mode 100644
index 000000000..6063449f6
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.norm2.asc
@@ -0,0 +1,3 @@
+# CARPETREDUCE::weight (weight)
+# iteration time data
+0 0 0.958389377890207
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.norm_inf.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.norm_inf.asc
new file mode 100644
index 000000000..415213f82
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.norm_inf.asc
@@ -0,0 +1,3 @@
+# CARPETREDUCE::weight (weight)
+# iteration time data
+0 0 1
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.sum.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.sum.asc
new file mode 100644
index 000000000..7711ec2b4
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.sum.asc
@@ -0,0 +1,3 @@
+# CARPETREDUCE::weight (weight)
+# iteration time data
+0 0 44030.302734375
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.x.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.x.asc
new file mode 100644
index 000000000..3813db669
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.x.asc
@@ -0,0 +1,165 @@
+# CARPETREDUCE::weight x (weight)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 47104 6144 0 -0.5 0.0111111111111111 -4.80437087682639e-18 0.25
+0 0 0 0 0 2048 47104 6144 0 -0.477777777777778 0.0111111111111111 -4.80437087682639e-18 0.5
+0 0 0 0 0 4096 47104 6144 0 -0.455555555555556 0.0111111111111111 -4.80437087682639e-18 0.5
+0 0 0 0 0 6144 47104 6144 0 -0.433333333333333 0.0111111111111111 -4.80437087682639e-18 0.5
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+0 0 0 0 0 10240 47104 6144 0 -0.388888888888889 0.0111111111111111 -4.80437087682639e-18 0.5
+0 0 0 0 0 12288 47104 6144 0 -0.366666666666667 0.0111111111111111 -4.80437087682639e-18 0.5
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+0 0 0 0 0 51200 47104 6144 0 0.0555555555555556 0.0111111111111111 -4.80437087682639e-18 0
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+0 0 0 0 0 55296 47104 6144 0 0.1 0.0111111111111111 -4.80437087682639e-18 0
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+0 0 0 0 0 59392 47104 6144 0 0.144444444444444 0.0111111111111111 -4.80437087682639e-18 0
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+0 0 0 0 0 63488 47104 6144 0 0.188888888888889 0.0111111111111111 -4.80437087682639e-18 0
+0 0 0 0 0 65536 47104 6144 0 0.211111111111111 0.0111111111111111 -4.80437087682639e-18 0
+0 0 0 0 0 67584 47104 6144 0 0.233333333333333 0.0111111111111111 -4.80437087682639e-18 0.25
+0 0 0 0 0 69632 47104 6144 0 0.255555555555556 0.0111111111111111 -4.80437087682639e-18 0.5
+0 0 0 0 0 71680 47104 6144 0 0.277777777777778 0.0111111111111111 -4.80437087682639e-18 0.5
+0 0 0 0 0 73728 47104 6144 0 0.3 0.0111111111111111 -4.80437087682639e-18 0.5
+0 0 0 0 0 75776 47104 6144 0 0.322222222222222 0.0111111111111111 -4.80437087682639e-18 0.5
+0 0 0 0 0 77824 47104 6144 0 0.344444444444444 0.0111111111111111 -4.80437087682639e-18 0.5
+0 0 0 0 0 79872 47104 6144 0 0.366666666666667 0.0111111111111111 -4.80437087682639e-18 0.5
+0 0 0 0 0 81920 47104 6144 0 0.388888888888889 0.0111111111111111 -4.80437087682639e-18 0.5
+0 0 0 0 0 83968 47104 6144 0 0.411111111111111 0.0111111111111111 -4.80437087682639e-18 0.5
+0 0 0 0 0 86016 47104 6144 0 0.433333333333333 0.0111111111111111 -4.80437087682639e-18 0.5
+0 0 0 0 0 88064 47104 6144 0 0.455555555555556 0.0111111111111111 -4.80437087682639e-18 0.5
+0 0 0 0 0 90112 47104 6144 0 0.477777777777778 0.0111111111111111 -4.80437087682639e-18 0.5
+0 0 0 0 0 92160 47104 6144 0 0.5 0.0111111111111111 -4.80437087682639e-18 0.25
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 19456 46080 6144 0 -0.288888888888889 3.9979955110403e-17 -7.42000861794767e-19 0
+0 0 1 0 0 20480 46080 6144 0 -0.277777777777778 3.9979955110403e-17 -7.42000861794767e-19 0
+0 0 1 0 0 21504 46080 6144 0 -0.266666666666667 3.9979955110403e-17 -7.42000861794767e-19 0
+0 0 1 0 0 22528 46080 6144 0 -0.255555555555556 3.9979955110403e-17 -7.42000861794767e-19 0.25
+0 0 1 0 0 23552 46080 6144 0 -0.244444444444444 3.9979955110403e-17 -7.42000861794767e-19 0.5
+0 0 1 0 0 24576 46080 6144 0 -0.233333333333333 3.9979955110403e-17 -7.42000861794767e-19 0.5
+0 0 1 0 0 25600 46080 6144 0 -0.222222222222222 3.9979955110403e-17 -7.42000861794767e-19 0.5
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+0 0 1 0 0 27648 46080 6144 0 -0.2 3.9979955110403e-17 -7.42000861794767e-19 0.5
+0 0 1 0 0 28672 46080 6144 0 -0.188888888888889 3.9979955110403e-17 -7.42000861794767e-19 0.5
+0 0 1 0 0 29696 46080 6144 0 -0.177777777777778 3.9979955110403e-17 -7.42000861794767e-19 0.5
+0 0 1 0 0 30720 46080 6144 0 -0.166666666666667 3.9979955110403e-17 -7.42000861794767e-19 0.5
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+0 0 1 0 0 33792 46080 6144 0 -0.133333333333333 3.9979955110403e-17 -7.42000861794767e-19 0.25
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+0 0 1 0 0 35840 46080 6144 0 -0.111111111111111 3.9979955110403e-17 -7.42000861794767e-19 0
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+0 0 1 0 0 38912 46080 6144 0 -0.0777777777777777 3.9979955110403e-17 -7.42000861794767e-19 0
+0 0 1 0 0 39936 46080 6144 0 -0.0666666666666666 3.9979955110403e-17 -7.42000861794767e-19 0
+0 0 1 0 0 40960 46080 6144 0 -0.0555555555555555 3.9979955110403e-17 -7.42000861794767e-19 0
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+0 0 1 0 0 52224 46080 6144 0 0.0666666666666667 3.9979955110403e-17 -7.42000861794767e-19 0
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+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.y.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.y.asc
new file mode 100644
index 000000000..2e24a8fcf
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.y.asc
@@ -0,0 +1,165 @@
+# CARPETREDUCE::weight y (weight)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 0 0 0 47104 92160 6144 0 0.0111111111111111 0.5 -4.80437087682639e-18 0.25
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 2 0 0 46080 35840 6144 0 9.98821251402271e-18 -0.111111111111111 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 36352 6144 0 9.98821251402271e-18 -0.105555555555556 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 36864 6144 0 9.98821251402271e-18 -0.1 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 37376 6144 0 9.98821251402271e-18 -0.0944444444444444 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 37888 6144 0 9.98821251402271e-18 -0.0888888888888889 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 38400 6144 0 9.98821251402271e-18 -0.0833333333333333 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 38912 6144 0 9.98821251402271e-18 -0.0777777777777778 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 39424 6144 0 9.98821251402271e-18 -0.0722222222222222 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 39936 6144 0 9.98821251402271e-18 -0.0666666666666667 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 40448 6144 0 9.98821251402271e-18 -0.0611111111111111 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 40960 6144 0 9.98821251402271e-18 -0.0555555555555555 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 41472 6144 0 9.98821251402271e-18 -0.05 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 41984 6144 0 9.98821251402271e-18 -0.0444444444444444 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 42496 6144 0 9.98821251402271e-18 -0.0388888888888889 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 43008 6144 0 9.98821251402271e-18 -0.0333333333333333 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 43520 6144 0 9.98821251402271e-18 -0.0277777777777778 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 44032 6144 0 9.98821251402271e-18 -0.0222222222222222 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 44544 6144 0 9.98821251402271e-18 -0.0166666666666667 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 45056 6144 0 9.98821251402271e-18 -0.0111111111111111 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 45568 6144 0 9.98821251402271e-18 -0.00555555555555554 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 46080 6144 0 9.98821251402271e-18 9.98821251402271e-18 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 46592 6144 0 9.98821251402271e-18 0.00555555555555556 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 47104 6144 0 9.98821251402271e-18 0.0111111111111111 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 47616 6144 0 9.98821251402271e-18 0.0166666666666667 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 48128 6144 0 9.98821251402271e-18 0.0222222222222222 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 48640 6144 0 9.98821251402271e-18 0.0277777777777778 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 49152 6144 0 9.98821251402271e-18 0.0333333333333333 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 49664 6144 0 9.98821251402271e-18 0.0388888888888889 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 50176 6144 0 9.98821251402271e-18 0.0444444444444444 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 50688 6144 0 9.98821251402271e-18 0.05 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 51200 6144 0 9.98821251402271e-18 0.0555555555555556 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 51712 6144 0 9.98821251402271e-18 0.0611111111111111 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 52224 6144 0 9.98821251402271e-18 0.0666666666666667 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 52736 6144 0 9.98821251402271e-18 0.0722222222222222 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 53248 6144 0 9.98821251402271e-18 0.0777777777777778 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 53760 6144 0 9.98821251402271e-18 0.0833333333333333 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 54272 6144 0 9.98821251402271e-18 0.0888888888888889 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 54784 6144 0 9.98821251402271e-18 0.0944444444444444 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 55296 6144 0 9.98821251402271e-18 0.1 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 55808 6144 0 9.98821251402271e-18 0.105555555555556 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 56320 6144 0 9.98821251402271e-18 0.111111111111111 -3.46944695195361e-18 0.25
+0 0 2 0 0 46080 56832 6144 0 9.98821251402271e-18 0.116666666666667 -3.46944695195361e-18 0
+0 0 2 0 0 46080 57344 6144 0 9.98821251402271e-18 0.122222222222222 -3.46944695195361e-18 0
+0 0 2 0 0 46080 57856 6144 0 9.98821251402271e-18 0.127777777777778 -3.46944695195361e-18 0
+
+
diff --git a/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.z.asc b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.z.asc
new file mode 100644
index 000000000..4b8074ca7
--- /dev/null
+++ b/CarpetExtra/CarpetIntegrateTest/test/carpetintegrate/weight.z.asc
@@ -0,0 +1,102 @@
+# CARPETREDUCE::weight z (weight)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 47104 47104 0 0 0.0111111111111111 0.0111111111111111 -0.0652173913043478 0
+0 0 0 0 0 47104 47104 2048 0 0.0111111111111111 0.0111111111111111 -0.0434782608695652 0
+0 0 0 0 0 47104 47104 4096 0 0.0111111111111111 0.0111111111111111 -0.0217391304347826 0
+0 0 0 0 0 47104 47104 6144 0 0.0111111111111111 0.0111111111111111 -4.80437087682639e-18 0
+0 0 0 0 0 47104 47104 8192 0 0.0111111111111111 0.0111111111111111 0.0217391304347826 0
+0 0 0 0 0 47104 47104 10240 0 0.0111111111111111 0.0111111111111111 0.0434782608695652 0
+0 0 0 0 0 47104 47104 12288 0 0.0111111111111111 0.0111111111111111 0.0652173913043478 0
+0 0 0 0 0 47104 47104 14336 0 0.0111111111111111 0.0111111111111111 0.0869565217391304 0
+0 0 0 0 0 47104 47104 16384 0 0.0111111111111111 0.0111111111111111 0.108695652173913 0
+0 0 0 0 0 47104 47104 18432 0 0.0111111111111111 0.0111111111111111 0.130434782608696 0
+0 0 0 0 0 47104 47104 20480 0 0.0111111111111111 0.0111111111111111 0.152173913043478 0
+0 0 0 0 0 47104 47104 22528 0 0.0111111111111111 0.0111111111111111 0.173913043478261 0
+0 0 0 0 0 47104 47104 24576 0 0.0111111111111111 0.0111111111111111 0.195652173913043 0
+0 0 0 0 0 47104 47104 26624 0 0.0111111111111111 0.0111111111111111 0.217391304347826 0
+0 0 0 0 0 47104 47104 28672 0 0.0111111111111111 0.0111111111111111 0.239130434782609 0.5
+0 0 0 0 0 47104 47104 30720 0 0.0111111111111111 0.0111111111111111 0.260869565217391 1
+0 0 0 0 0 47104 47104 32768 0 0.0111111111111111 0.0111111111111111 0.282608695652174 1
+0 0 0 0 0 47104 47104 34816 0 0.0111111111111111 0.0111111111111111 0.304347826086956 1
+0 0 0 0 0 47104 47104 36864 0 0.0111111111111111 0.0111111111111111 0.326086956521739 1
+0 0 0 0 0 47104 47104 38912 0 0.0111111111111111 0.0111111111111111 0.347826086956522 1
+0 0 0 0 0 47104 47104 40960 0 0.0111111111111111 0.0111111111111111 0.369565217391304 1
+0 0 0 0 0 47104 47104 43008 0 0.0111111111111111 0.0111111111111111 0.391304347826087 1
+0 0 0 0 0 47104 47104 45056 0 0.0111111111111111 0.0111111111111111 0.41304347826087 1
+0 0 0 0 0 47104 47104 47104 0 0.0111111111111111 0.0111111111111111 0.434782608695652 1
+0 0 0 0 0 47104 47104 49152 0 0.0111111111111111 0.0111111111111111 0.456521739130435 1
+0 0 0 0 0 47104 47104 51200 0 0.0111111111111111 0.0111111111111111 0.478260869565217 1
+0 0 0 0 0 47104 47104 53248 0 0.0111111111111111 0.0111111111111111 0.5 0.5
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 46080 46080 3072 0 3.9979955110403e-17 3.9979955110403e-17 -0.0326086956521739 0
+0 0 1 0 0 46080 46080 4096 0 3.9979955110403e-17 3.9979955110403e-17 -0.0217391304347826 0
+0 0 1 0 0 46080 46080 5120 0 3.9979955110403e-17 3.9979955110403e-17 -0.0108695652173913 0
+0 0 1 0 0 46080 46080 6144 0 3.9979955110403e-17 3.9979955110403e-17 -7.42000861794767e-19 0
+0 0 1 0 0 46080 46080 7168 0 3.9979955110403e-17 3.9979955110403e-17 0.0108695652173913 0
+0 0 1 0 0 46080 46080 8192 0 3.9979955110403e-17 3.9979955110403e-17 0.0217391304347826 0
+0 0 1 0 0 46080 46080 9216 0 3.9979955110403e-17 3.9979955110403e-17 0.0326086956521739 0
+0 0 1 0 0 46080 46080 10240 0 3.9979955110403e-17 3.9979955110403e-17 0.0434782608695652 0
+0 0 1 0 0 46080 46080 11264 0 3.9979955110403e-17 3.9979955110403e-17 0.0543478260869565 0
+0 0 1 0 0 46080 46080 12288 0 3.9979955110403e-17 3.9979955110403e-17 0.0652173913043478 0
+0 0 1 0 0 46080 46080 13312 0 3.9979955110403e-17 3.9979955110403e-17 0.0760869565217391 0
+0 0 1 0 0 46080 46080 14336 0 3.9979955110403e-17 3.9979955110403e-17 0.0869565217391304 0
+0 0 1 0 0 46080 46080 15360 0 3.9979955110403e-17 3.9979955110403e-17 0.0978260869565217 0
+0 0 1 0 0 46080 46080 16384 0 3.9979955110403e-17 3.9979955110403e-17 0.108695652173913 0
+0 0 1 0 0 46080 46080 17408 0 3.9979955110403e-17 3.9979955110403e-17 0.119565217391304 0.5
+0 0 1 0 0 46080 46080 18432 0 3.9979955110403e-17 3.9979955110403e-17 0.130434782608696 1
+0 0 1 0 0 46080 46080 19456 0 3.9979955110403e-17 3.9979955110403e-17 0.141304347826087 1
+0 0 1 0 0 46080 46080 20480 0 3.9979955110403e-17 3.9979955110403e-17 0.152173913043478 1
+0 0 1 0 0 46080 46080 21504 0 3.9979955110403e-17 3.9979955110403e-17 0.16304347826087 1
+0 0 1 0 0 46080 46080 22528 0 3.9979955110403e-17 3.9979955110403e-17 0.173913043478261 1
+0 0 1 0 0 46080 46080 23552 0 3.9979955110403e-17 3.9979955110403e-17 0.184782608695652 1
+0 0 1 0 0 46080 46080 24576 0 3.9979955110403e-17 3.9979955110403e-17 0.195652173913043 1
+0 0 1 0 0 46080 46080 25600 0 3.9979955110403e-17 3.9979955110403e-17 0.206521739130435 1
+0 0 1 0 0 46080 46080 26624 0 3.9979955110403e-17 3.9979955110403e-17 0.217391304347826 1
+0 0 1 0 0 46080 46080 27648 0 3.9979955110403e-17 3.9979955110403e-17 0.228260869565217 1
+0 0 1 0 0 46080 46080 28672 0 3.9979955110403e-17 3.9979955110403e-17 0.239130434782609 0.5
+0 0 1 0 0 46080 46080 29696 0 3.9979955110403e-17 3.9979955110403e-17 0.25 0
+0 0 1 0 0 46080 46080 30720 0 3.9979955110403e-17 3.9979955110403e-17 0.260869565217391 0
+0 0 1 0 0 46080 46080 31744 0 3.9979955110403e-17 3.9979955110403e-17 0.271739130434783 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 46080 46080 4608 0 9.98821251402271e-18 9.98821251402271e-18 -0.016304347826087 0
+0 0 2 0 0 46080 46080 5120 0 9.98821251402271e-18 9.98821251402271e-18 -0.0108695652173913 0
+0 0 2 0 0 46080 46080 5632 0 9.98821251402271e-18 9.98821251402271e-18 -0.00543478260869566 0
+0 0 2 0 0 46080 46080 6144 0 9.98821251402271e-18 9.98821251402271e-18 -3.46944695195361e-18 0.5
+0 0 2 0 0 46080 46080 6656 0 9.98821251402271e-18 9.98821251402271e-18 0.00543478260869565 1
+0 0 2 0 0 46080 46080 7168 0 9.98821251402271e-18 9.98821251402271e-18 0.0108695652173913 1
+0 0 2 0 0 46080 46080 7680 0 9.98821251402271e-18 9.98821251402271e-18 0.016304347826087 1
+0 0 2 0 0 46080 46080 8192 0 9.98821251402271e-18 9.98821251402271e-18 0.0217391304347826 1
+0 0 2 0 0 46080 46080 8704 0 9.98821251402271e-18 9.98821251402271e-18 0.0271739130434783 1
+0 0 2 0 0 46080 46080 9216 0 9.98821251402271e-18 9.98821251402271e-18 0.0326086956521739 1
+0 0 2 0 0 46080 46080 9728 0 9.98821251402271e-18 9.98821251402271e-18 0.0380434782608696 1
+0 0 2 0 0 46080 46080 10240 0 9.98821251402271e-18 9.98821251402271e-18 0.0434782608695652 1
+0 0 2 0 0 46080 46080 10752 0 9.98821251402271e-18 9.98821251402271e-18 0.0489130434782609 1
+0 0 2 0 0 46080 46080 11264 0 9.98821251402271e-18 9.98821251402271e-18 0.0543478260869565 1
+0 0 2 0 0 46080 46080 11776 0 9.98821251402271e-18 9.98821251402271e-18 0.0597826086956522 1
+0 0 2 0 0 46080 46080 12288 0 9.98821251402271e-18 9.98821251402271e-18 0.0652173913043478 1
+0 0 2 0 0 46080 46080 12800 0 9.98821251402271e-18 9.98821251402271e-18 0.0706521739130435 1
+0 0 2 0 0 46080 46080 13312 0 9.98821251402271e-18 9.98821251402271e-18 0.0760869565217391 1
+0 0 2 0 0 46080 46080 13824 0 9.98821251402271e-18 9.98821251402271e-18 0.0815217391304348 1
+0 0 2 0 0 46080 46080 14336 0 9.98821251402271e-18 9.98821251402271e-18 0.0869565217391304 1
+0 0 2 0 0 46080 46080 14848 0 9.98821251402271e-18 9.98821251402271e-18 0.0923913043478261 1
+0 0 2 0 0 46080 46080 15360 0 9.98821251402271e-18 9.98821251402271e-18 0.0978260869565217 1
+0 0 2 0 0 46080 46080 15872 0 9.98821251402271e-18 9.98821251402271e-18 0.103260869565217 1
+0 0 2 0 0 46080 46080 16384 0 9.98821251402271e-18 9.98821251402271e-18 0.108695652173913 1
+0 0 2 0 0 46080 46080 16896 0 9.98821251402271e-18 9.98821251402271e-18 0.114130434782609 1
+0 0 2 0 0 46080 46080 17408 0 9.98821251402271e-18 9.98821251402271e-18 0.119565217391304 0.5
+0 0 2 0 0 46080 46080 17920 0 9.98821251402271e-18 9.98821251402271e-18 0.125 0
+0 0 2 0 0 46080 46080 18432 0 9.98821251402271e-18 9.98821251402271e-18 0.130434782608696 0
+0 0 2 0 0 46080 46080 18944 0 9.98821251402271e-18 9.98821251402271e-18 0.135869565217391 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/README b/CarpetExtra/CarpetRegridTest/README
new file mode 100644
index 000000000..d29888470
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/README
@@ -0,0 +1,9 @@
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetRegridTest/README,v 1.1 2004/05/23 15:56:14 cott Exp $
+
+Cactus Code Thorn CarpetRegridTest
+Thorn Author(s) : Christian D. Ott <cott@aei.mpg.de>
+Thorn Maintainer(s) : Christian D. Ott <cott@aei.mpg.de>
+--------------------------------------------------------------------------
+
+Purpose of the thorn: This thorn tries to test Carpet Progressive Meshrefinement
+
diff --git a/CarpetExtra/CarpetRegridTest/interface.ccl b/CarpetExtra/CarpetRegridTest/interface.ccl
new file mode 100644
index 000000000..12ab83a3f
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/interface.ccl
@@ -0,0 +1,12 @@
+# Interface definition for thorn CarpetRegridTest
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetRegridTest/interface.ccl,v 1.3 2004/05/25 15:35:15 schnetter Exp $
+
+implements: CarpetRegridTest
+inherits: grid
+
+#tags='Prolongation="ENO"'
+CCTK_REAL testscalar type=GF timelevels=3
+{
+ phi, phi_error, phi_relerror
+} "The test scalar field"
+
diff --git a/CarpetExtra/CarpetRegridTest/param.ccl b/CarpetExtra/CarpetRegridTest/param.ccl
new file mode 100644
index 000000000..6534eb972
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/param.ccl
@@ -0,0 +1,19 @@
+# Parameter definitions for thorn CarpetRegridTest
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetRegridTest/param.ccl,v 1.1 2004/05/23 15:56:14 cott Exp $
+
+private:
+
+REAL radius "The radius of the gaussian wave"
+{
+ *:* :: "No restriction"
+} 0.0
+
+REAL sigma "The sigma for the gaussian wave"
+{
+ 0:* :: "Positive"
+} 0.1
+
+REAL amplitude "The amplitude of the wave"
+{
+ *:* :: "No restriction"
+} 1.0
diff --git a/CarpetExtra/CarpetRegridTest/schedule.ccl b/CarpetExtra/CarpetRegridTest/schedule.ccl
new file mode 100644
index 000000000..356b3c551
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/schedule.ccl
@@ -0,0 +1,22 @@
+# Schedule definitions for thorn CarpetRegridTest
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetRegridTest/schedule.ccl,v 1.1 2004/05/23 15:56:14 cott Exp $
+
+
+schedule CarpetRegridTest_Startup AT STARTUP
+{
+ LANG: C
+} "Startup banner"
+
+
+schedule CarpetRegrid_SetupGaussian at INITIAL
+{
+ STORAGE: testscalar[3]
+ LANG: C
+} "Gaussian Initial Data"
+
+schedule CarpetRegrid_TestGaussian at Analysis
+{
+ STORAGE: testscalar[3]
+ LANG: C
+} "Test Gaussian Data"
+
diff --git a/CarpetExtra/CarpetRegridTest/src/InitialData.c b/CarpetExtra/CarpetRegridTest/src/InitialData.c
new file mode 100644
index 000000000..0dbf3ac11
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/src/InitialData.c
@@ -0,0 +1,162 @@
+ /*@@
+ @file InitialData.c
+ @date
+ @author Werner Benger
+ @desc
+ Initial data for the 3D Wave Equation
+ Derived from Tom Goodale
+ @enddesc
+ @version $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetRegridTest/src/InitialData.c,v 1.1 2004/05/23 15:56:14 cott Exp $
+ @@*/
+
+#include <math.h>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+#include "cctk_Arguments.h"
+
+static const char *rcsid = "$Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetRegridTest/src/InitialData.c,v 1.1 2004/05/23 15:56:14 cott Exp $";
+
+CCTK_FILEVERSION(CactusWave_IDScalarWaveC_InitialData_c)
+
+static CCTK_REAL sqr(CCTK_REAL val)
+{
+ return val*val;
+}
+
+void IDScalarWaveC_InitialData(CCTK_ARGUMENTS);
+
+
+ /*@@
+ @routine IDScalarWaveC_InitialData
+ @date
+ @author Tom Goodale
+ @desc
+ Set up initial data for the wave equation
+ @enddesc
+ @calls
+ @calledby
+ @history
+ @hdate Mon Oct 11 11:48:03 1999 @hauthor Werner Benger
+ @hdesc Converted to C++
+ @hdate Mon Oct 11 11:48:20 1999 @hauthor Tom Goodale
+ @hdesc Added the rest of the initial data.
+ @hdate Thu Feb 17 09:22:01 2000 @hauthor Tom Goodale
+ @hdesc Converted to C
+ @endhistory
+
+@@*/
+
+void IDScalarWaveC_InitialData(CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_PARAMETERS
+
+ int i,j,k;
+
+ CCTK_REAL dt;
+ CCTK_REAL omega;
+ int index;
+ CCTK_REAL X, Y, Z, R;
+ CCTK_REAL pi;
+
+ dt = CCTK_DELTA_TIME;
+
+ if(CCTK_Equals(initial_data, "plane"))
+ {
+ omega = sqrt(sqr(kx)+sqr(ky)+sqr(kz));
+
+ for(k=0; k<cctk_lsh[2]; k++)
+ {
+ for(j=0; j<cctk_lsh[1]; j++)
+ {
+ for(i=0; i<cctk_lsh[0]; i++)
+ {
+ index = CCTK_GFINDEX3D(cctkGH,i,j,k);
+
+ phi[index] = amplitude*cos(kx*x[index]+ky*y[index]+kz*z[index]+omega*cctk_time);
+ phi_p[index] = amplitude*cos(kx*x[index]+ky*y[index]+kz*z[index]+omega*(cctk_time-dt));
+ }
+ }
+ }
+ }
+ else if(CCTK_Equals(initial_data, "gaussian"))
+ {
+ for(k=0; k<cctk_lsh[2]; k++)
+ {
+ for(j=0; j<cctk_lsh[1]; j++)
+ {
+ for(i=0; i<cctk_lsh[0]; i++)
+ {
+ index = CCTK_GFINDEX3D(cctkGH,i,j,k);
+
+ X = x[index];
+ Y = y[index];
+ Z = z[index];
+
+ R = sqrt(X*X + Y*Y + Z*Z);
+
+ phi[index] = amplitude*exp( - sqr( (R - radius) / sigma ) );
+
+ if (R == 0.0)
+ {
+ phi_p[index] = amplitude*(1.0 - 2.0*dt*dt/sigma)*exp(-dt*dt/sigma);
+ }
+ else
+ {
+ phi_p[index] = amplitude/2.0*(R-dt)/R*
+ exp( - sqr( (R - radius - dt)/ sigma ) )
+ + amplitude/2.0*(R+dt)/R*
+ exp( - sqr( (R - radius + dt)/ sigma ) );
+ }
+ }
+ }
+ }
+ }
+ else if(CCTK_Equals(initial_data, "box"))
+ {
+ pi = 4.0*atan(1.0);
+ omega = sqrt(sqr(kx)+sqr(ky)+sqr(kz));
+
+ for(k=0; k<cctk_lsh[2]; k++)
+ {
+ for(j=0; j<cctk_lsh[1]; j++)
+ {
+ for(i=0; i<cctk_lsh[0]; i++)
+ {
+ index = CCTK_GFINDEX3D(cctkGH,i,j,k);
+
+ phi[index] = amplitude*sin(kx*(x[index]-0.5)*pi)*
+ sin(ky*(y[index]-0.5)*pi)*
+ sin(kz*(z[index]-0.5)*pi)*
+ cos(omega*cctk_time*pi);
+
+ phi_p[index] = amplitude*sin(kx*(x[index]-0.5)*pi)*
+ sin(ky*(y[index]-0.5)*pi)*
+ sin(kz*(z[index]-0.5)*pi)*
+ cos(omega*(cctk_time-dt)*pi);
+ }
+ }
+ }
+ }
+ else if (CCTK_Equals(initial_data, "none"))
+ {
+ for(k=0; k<cctk_lsh[2]; k++)
+ {
+ for(j=0; j<cctk_lsh[1]; j++)
+ {
+ for(i=0; i<cctk_lsh[0]; i++)
+ {
+ index = CCTK_GFINDEX3D(cctkGH,i,j,k);
+
+ phi[index] = 0.0;
+
+ phi_p[index] = 0.0;
+ }
+ }
+ }
+ }
+
+ return;
+}
+
diff --git a/CarpetExtra/CarpetRegridTest/src/SetupGaussian.c b/CarpetExtra/CarpetRegridTest/src/SetupGaussian.c
new file mode 100644
index 000000000..768656f10
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/src/SetupGaussian.c
@@ -0,0 +1,48 @@
+#include <math.h>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+#include "cctk_Arguments.h"
+
+
+static const char *rcsid = "$Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetRegridTest/src/SetupGaussian.c,v 1.2 2004/05/27 13:22:49 schnetter Exp $";
+
+CCTK_FILEVERSION(CarpetExtra_CarpetRegridTest_SetupGaussian_c);
+
+void CarpetRegrid_SetupGaussian(CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_PARAMETERS;
+ DECLARE_CCTK_ARGUMENTS;
+
+ int i,j,k;
+
+ CCTK_REAL omega;
+ int index;
+ CCTK_REAL X, Y, Z, R;
+ CCTK_REAL pi;
+
+ for(k=0; k<cctk_lsh[2]; k++)
+ {
+ for(j=0; j<cctk_lsh[1]; j++)
+ {
+ for(i=0; i<cctk_lsh[0]; i++)
+ {
+ index = CCTK_GFINDEX3D(cctkGH,i,j,k);
+
+ X = x[index];
+ Y = y[index];
+ Z = z[index];
+
+ R = sqrt(X*X + Y*Y + Z*Z);
+
+ phi[index] = amplitude*exp( - pow( (R - radius) / sigma, 2.0 ) );
+
+ phi_p[index] = phi[index];
+ phi_p_p[index] = phi[index];
+ }
+ }
+ }
+
+ CCTK_VInfo(CCTK_THORNSTRING,"Gaussian initial data have been set.");
+
+}
diff --git a/CarpetExtra/CarpetRegridTest/src/Startup.c b/CarpetExtra/CarpetRegridTest/src/Startup.c
new file mode 100644
index 000000000..6aa4bfb39
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/src/Startup.c
@@ -0,0 +1,16 @@
+#include "cctk.h"
+#include "cctk_Parameters.h"
+#include "cctk_Arguments.h"
+
+
+static const char *rcsid = "$Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetRegridTest/src/Startup.c,v 1.1 2004/05/23 15:56:14 cott Exp $";
+
+CCTK_FILEVERSION(CarpetExtra_CarpetRegridTest_Startup_c);
+
+void CarpetRegridTest_Startup(void)
+{
+ const char *banner = "CarpetRegridTest: Thoroughly testing PMR";
+
+ CCTK_RegisterBanner(banner);
+
+}
diff --git a/CarpetExtra/CarpetRegridTest/src/TestGaussian.c b/CarpetExtra/CarpetRegridTest/src/TestGaussian.c
new file mode 100644
index 000000000..be786c245
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/src/TestGaussian.c
@@ -0,0 +1,45 @@
+#include <math.h>
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+#include "cctk_Arguments.h"
+
+
+static const char *rcsid = "$Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetRegridTest/src/TestGaussian.c,v 1.3 2004/05/27 13:22:49 schnetter Exp $";
+
+CCTK_FILEVERSION(CarpetExtra_CarpetRegridTest_TestGaussian_c);
+
+void CarpetRegrid_TestGaussian(CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_PARAMETERS;
+ DECLARE_CCTK_ARGUMENTS;
+
+ int i,j,k;
+
+ int index;
+ CCTK_REAL X, Y, Z, R;
+
+
+ for(k=0; k<cctk_lsh[2]; k++)
+ {
+ for(j=0; j<cctk_lsh[1]; j++)
+ {
+ for(i=0; i<cctk_lsh[0]; i++)
+ {
+ index = CCTK_GFINDEX3D(cctkGH,i,j,k);
+
+ X = x[index];
+ Y = y[index];
+ Z = z[index];
+
+ R = sqrt(X*X + Y*Y + Z*Z);
+
+ phi_error[index] = phi[index] - amplitude*exp( - pow( (R - radius) / sigma, 2.0 ) );
+ phi_relerror[index] = phi_error[index] / (amplitude*exp( - pow( (R - radius) / sigma, 2.0 ) ) );
+ }
+ }
+ }
+
+ // CCTK_VInfo(CCTK_THORNSTRING,"Performed CarpetRegridTest");
+
+}
diff --git a/CarpetExtra/CarpetRegridTest/src/make.code.defn b/CarpetExtra/CarpetRegridTest/src/make.code.defn
new file mode 100644
index 000000000..5428339e9
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/src/make.code.defn
@@ -0,0 +1,8 @@
+# Main make.code.defn file for thorn CarpetRegridTest
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetRegridTest/src/make.code.defn,v 1.1 2004/05/23 15:56:14 cott Exp $
+
+# Source files in this directory
+SRCS = Startup.c SetupGaussian.c TestGaussian.c
+
+# Subdirectories containing source files
+SUBDIRS =
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid.par b/CarpetExtra/CarpetRegridTest/test/regrid.par
new file mode 100644
index 000000000..21340f704
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid.par
@@ -0,0 +1,198 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/CarpetRegridTest/test/regrid.par,v 1.1 2004/06/01 16:54:51 schnetter Exp $
+
+#==============================================================================
+# --- Test suite: PMR and regridding ---
+# --- Activation of new refinement level at arbitrary iteration ---
+#
+# The basic setup is an octant grid with 3 reflevels. 1 rl is
+# activated at a specified iteration. The total number of
+# timesteps is 30.
+#
+# Initial model is a non-rotating n=3 polytrope, which collapses
+# with a 5 % pressure reduction.
+#
+# It is suggested to set carpetregrid::regrid_every to 16 for
+# regridding at an iteration involving all reflevels, or to
+# 18 for a iteration involving only the finest reflevel.
+#==============================================================================
+
+#==============================================================================
+# Thorn activation
+#==============================================================================
+
+ActiveThorns = "time carpet carpetlib carpetregrid carpetreduce carpetslab carpetinterp cartgrid3d coordbase symbase mol boundary admbase staticconformal spacemask admcoupling coordgauge admmacros whisky whisky_init_data eos_base eos_polytrope iobasic carpetioascii ioutil admconstraints bssn_mol whisky_rnsid carpetiohdf5 nanchecker"
+
+#==============================================================================
+# Test parameters
+# Play around with these to produce different test cases.
+#==============================================================================
+
+carpetregrid::regrid_every = 18
+
+#==============================================================================
+# Directories and recovery
+#==============================================================================
+
+io::out_dir = $parfile
+
+#==============================================================================
+# Time
+#==============================================================================
+
+cactus::cctk_itlast = 30
+
+time::dtfac = 0.375
+
+#==============================================================================
+# Grid setup
+#==============================================================================
+
+grid::type = "byrange"
+grid::domain = "octant"
+grid::avoid_origin = "no"
+
+driver::global_nx = 30
+driver::global_ny = 30
+driver::global_nz = 30
+
+driver::ghost_size = 3
+
+grid::xmax = 2200.000000
+grid::ymax = 2200.000000
+grid::zmax = 2200.000000
+
+carpet::buffer_width = 6
+
+carpet::max_refinement_levels = 4
+carpetregrid::refinement_levels = 3
+
+carpetregrid::refined_regions = "manual-gridpoint-list"
+carpetregrid::gridpoints = "[ [ ([12,12,12]:[128,128,128]:[4,4,4]) ], [ ([18,18,18]:[76,76,76]:[2,2,2]) ], [ ([21,21,21]:[50,50,50]:[1,1,1]) ] ]"
+carpetregrid::outerbounds = "[ [ [[1,0],[1,0],[1,0]] ], [ [[1,0],[1,0],[1,0]] ], [ [[1,0],[1,0],[1,0]] ] ]"
+
+#==============================================================================
+# Regridding
+#==============================================================================
+
+carpetregrid::num_new_levels = 1
+carpetregrid::activate_levels_on_regrid = "fixed"
+
+#==============================================================================
+# Initial data: Supermassive star at the critical limit
+#==============================================================================
+
+admbase::initial_data = "rnsid"
+admbase::initial_lapse = "rnsid"
+admbase::initial_shift = "rnsid"
+
+whisky::whisky_rho_central = 7.84e-9
+
+rnsid::accuracy = 1e-7
+rnsid::axes_ratio = 1.0
+rnsid::zero_shift = no
+rnsid::rns_gamma = 1.3333333333333333
+rnsid::rns_k = 1.0
+
+#==============================================================================
+# Equation of state
+#==============================================================================
+
+whisky::whisky_eos_type = "Polytype"
+whisky::whisky_eos_table = "2D_Polytrope"
+
+whisky::EoS_Change = "yes"
+EOS_Polytrope::eos_gamma = 1.3333333333333333
+EOS_Polytrope::eos_k = 0.95
+EOS_Polytrope::use_cgs = "no"
+EOS_Polytrope::gamma_ini = 1.3333333333333333
+
+whisky::whisky_maxnumsandrvars = 0
+
+#==============================================================================
+# Carpet parameters
+#==============================================================================
+
+carpet::init_3_timelevels = "yes"
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+
+#==============================================================================
+# Whisky parameters
+#==============================================================================
+
+whisky::riemann_solver = "Marquina"
+whisky::bound = "none"
+
+whisky::recon_method = "ppm"
+whisky::ppm_detect = "yes"
+whisky::whisky_stencil = 3
+
+whisky::rho_rel_min = 1.e-8
+whisky::initial_atmosphere_factor = 1.e2
+whisky::initial_rho_abs_min = 5e-17
+
+spacemask::use_mask = yes
+
+#==============================================================================
+# BSSN parameters
+#==============================================================================
+
+admbase::evolution_method = "adm_bssn"
+admbase::lapse_evolution_method = "1+log"
+admbase::shift_evolution_method = "static"
+# admbase::shift_evolution_method = "gamma2"
+
+adm_bssn::lapsesource = "modified"
+adm_bssn::bound = "radiative"
+boundary::radpower = 2
+adm_bssn::harmonic_f = 2.0
+
+adm_bssn::ShiftGammaCoeff = 0.75
+adm_bssn::BetaDriver = 4
+
+admconstraints::bound = "static"
+
+#==============================================================================
+# MoL parameters
+#==============================================================================
+
+mol::ode_method = "icn"
+mol::generic_type = "RK"
+mol::mol_intermediate_steps = 3
+
+#==============================================================================
+# NaNChecker
+#==============================================================================
+
+nanchecker::check_vars = "admbase::gxx"
+nanchecker::action_if_found = terminate
+nanchecker::check_every = 1
+
+#==============================================================================
+# Output: General settings
+#==============================================================================
+
+iobasic::out_format = ".13e"
+
+#==============================================================================
+# Output: Scalar and 1D
+#==============================================================================
+
+iobasic::outinfo_every = 1
+iobasic::outscalar_every = 1
+ioascii::out1d_every = 4 # 1
+
+iobasic::outinfo_vars = "whisky::rho admbase::alp"
+
+iobasic::outscalar_vars = "admconstraints::ham admconstraints::momentum whisky::whisky_prim_scalar_var whisky::whisky_prim_vector_var whisky::whisky_cons_scalar_var whisky::whisky_cons_vector_var admbase::metric admbase::curv admbase::lapse admbase::shift"
+
+#ioascii::out1d_vars = "admconstraints::ham admconstraints::momentum whisky::whisky_prim_scalar_var whisky::whisky_prim_vector_var whisky::whisky_cons_scalar_var whisky::whisky_cons_vector_var admbase::metric admbase::curv admbase::lapse admbase::shift adm_bssn::adm_bssn_curv adm_bssn::adm_bssn_k adm_bssn::adm_bssn_gamma adm_bssn::adm_bssn_phi adm_bssn::adm_bssn_metric"
+ioascii::out1d_vars = "admconstraints::ham admconstraints::momentum whisky::whisky_prim_scalar_var whisky::whisky_prim_vector_var whisky::whisky_cons_scalar_var whisky::whisky_cons_vector_var admbase::metric admbase::curv admbase::lapse admbase::shift"
+
+##==============================================================================
+## Output: 3D
+##==============================================================================
+#
+#iohdf5::out3d_every = 1
+#
+#iohdf5::out3d_vars = "admconstraints::ham admconstraints::momentum whisky::whisky_prim_scalar_var whisky::whisky_prim_vector_var whisky::whisky_cons_scalar_var whisky::whisky_cons_vector_var admbase::metric admbase::curv admbase::lapse admbase::shift adm_bssn::adm_bssn_curv adm_bssn::adm_bssn_k adm_bssn::adm_bssn_gamma adm_bssn::adm_bssn_phi adm_bssn::adm_bssn_metric"
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/alp.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/alp.x.asc
new file mode 100644
index 000000000..2c0406bf8
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/alp.x.asc
@@ -0,0 +1,864 @@
+# ADMBASE::alp x (alp)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 0.990819099662834
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 0.990313317430884
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 0.98997630011656
+0 0 0 0 0 24 24 24 0 0 0 0 0.989857957968454
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 0.98997630011656
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 0.990313317430884
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 0.990819099662834
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 0.991431085644434
+0 0 0 0 0 64 24 24 0 423.076923076923 0 0 0.992088616979138
+0 0 0 0 0 72 24 24 0 507.692307692308 0 0 0.992744658995208
+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 0.993367707411063
+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 0.993940691502878
+0 0 0 0 0 96 24 24 0 761.538461538462 0 0 0.994456707623765
+0 0 0 0 0 104 24 24 0 846.153846153846 0 0 0.994915385293671
+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 0.99532012574227
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 0.995676016071507
+0 0 0 0 0 128 24 24 0 1100 0 0 0.995988778028419
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 0.996263967127052
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 0.996506745341886
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 0.996721678555939
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 0.996912741263482
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 0.997083341184788
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 0.997236373844347
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 0.997374286586592
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 0.997499142833298
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 0.99761267947155
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 0.997716357405359
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 0.997811405058631
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 0.997898856884813
+0 0 0 0 0 232 24 24 0 2200 0 0 0.997979588442908
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 0.990120023265812
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 0.98997630011656
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 0.989887754065229
+0 0 1 0 0 24 24 24 0 0 0 0 0.989857957968454
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 0.989887754065229
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 0.98997630011656
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 0.990120023265812
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 0.990313317430884
+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 0.990548875848616
+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 0.990819099662834
+0 0 1 0 0 52 24 24 0 296.153846153846 0 0 0.991115816159151
+0 0 1 0 0 56 24 24 0 338.461538461538 0 0 0.991431085644434
+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 0.991757585371682
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 0.992088616979138
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 0.992419168165292
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 0.992744658995208
+0 0 1 0 0 76 24 24 0 550 0 0 0.993061667509698
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 0.993367707411063
+0 0 1 0 0 84 24 24 0 634.615384615385 0 0 0.993661051457019
+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 0.993940691502878
+0 0 1 0 0 92 24 24 0 719.230769230769 0 0 0.994205957596342
+0 0 1 0 0 96 24 24 0 761.538461538462 0 0 0.994456707623765
+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 0.994693039570025
+0 0 1 0 0 104 24 24 0 846.153846153846 0 0 0.994915385293671
+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 0.995124179726762
+0 0 1 0 0 112 24 24 0 930.769230769231 0 0 0.99532012574227
+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 0.995503819562619
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 0.995676016071507
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 0.995837440876876
+0 0 1 0 0 128 24 24 0 1100 0 0 0.995988778028419
+0 0 1 0 0 132 24 24 0 1142.30769230769 0 0 0.996130746561616
+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 0.996263967127052
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 0.996389122227255
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0.98992485489427
+0 0 2 0 0 20 24 24 0 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 0.989887754065229
+0 0 2 0 0 22 24 24 0 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 0.989865384570224
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0.989857957968454
+0 0 2 0 0 26 24 24 0 21.1538461538462 7.105427357601e-15 7.105427357601e-15 0.989865384570224
+0 0 2 0 0 28 24 24 0 42.3076923076923 7.105427357601e-15 7.105427357601e-15 0.989887754065229
+0 0 2 0 0 30 24 24 0 63.4615384615385 7.105427357601e-15 7.105427357601e-15 0.98992485489427
+0 0 2 0 0 32 24 24 0 84.6153846153846 7.105427357601e-15 7.105427357601e-15 0.98997630011656
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+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 0.99351602942501
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 0.996389116415709
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 232 24 24 31.7307692307692 2200 0 0 0.997979630790234
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 12 24 24 31.7307692307692 -126.923076923077 0 0 0.990120102699358
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+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 0.996389098969229
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 0.996389071208965
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 82 24 24 63.4615384615385 613.461538461538 7.105427357601e-15 7.105427357601e-15 0.993515970406863
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 0.996388984519553
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 0 0 0 232 24 24 95.1923076923077 2200 0 0 0.997979665400012
+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 1 0 0 140 24 24 95.1923076923077 1226.92307692308 0 0 0.996388926319486
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
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+28 0 3 0 0 44 24 24 111.057692307692 211.538461538462 7.105427357601e-15 7.105427357601e-15 0.990548946739581
+28 0 3 0 0 45 24 24 111.057692307692 222.115384615385 7.105427357601e-15 7.105427357601e-15 0.99061357765988
+28 0 3 0 0 46 24 24 111.057692307692 232.692307692308 7.105427357601e-15 7.105427357601e-15 0.99068024820843
+28 0 3 0 0 47 24 24 111.057692307692 243.269230769231 7.105427357601e-15 7.105427357601e-15 0.990748831228969
+28 0 3 0 0 48 24 24 111.057692307692 253.846153846154 7.105427357601e-15 7.105427357601e-15 0.990819199046769
+28 0 3 0 0 49 24 24 111.057692307692 264.423076923077 7.105427357601e-15 7.105427357601e-15 0.990891225481217
+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 0.990964778893714
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 0.991039726751317
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 0.991115945556449
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 0.991193302274129
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/alp.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/alp.y.asc
new file mode 100644
index 000000000..9a6cd1f38
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/alp.y.asc
@@ -0,0 +1,864 @@
+# ADMBASE::alp y (alp)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 0.990819099662834
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 0.990313317430884
+0 0 0 0 0 24 16 24 0 0 -84.6153846153846 0 0.98997630011656
+0 0 0 0 0 24 24 24 0 0 0 0 0.989857957968454
+0 0 0 0 0 24 32 24 0 0 84.6153846153846 0 0.98997630011656
+0 0 0 0 0 24 40 24 0 0 169.230769230769 0 0.990313317430884
+0 0 0 0 0 24 48 24 0 0 253.846153846154 0 0.990819099662834
+0 0 0 0 0 24 56 24 0 0 338.461538461539 0 0.991431085644434
+0 0 0 0 0 24 64 24 0 0 423.076923076923 0 0.992088616979138
+0 0 0 0 0 24 72 24 0 0 507.692307692308 0 0.992744658995208
+0 0 0 0 0 24 80 24 0 0 592.307692307692 0 0.993367707411063
+0 0 0 0 0 24 88 24 0 0 676.923076923077 0 0.993940691502878
+0 0 0 0 0 24 96 24 0 0 761.538461538462 0 0.994456707623765
+0 0 0 0 0 24 104 24 0 0 846.153846153846 0 0.994915385293671
+0 0 0 0 0 24 112 24 0 0 930.769230769231 0 0.99532012574227
+0 0 0 0 0 24 120 24 0 0 1015.38461538462 0 0.995676016071507
+0 0 0 0 0 24 128 24 0 0 1100 0 0.995988778028419
+0 0 0 0 0 24 136 24 0 0 1184.61538461538 0 0.996263967127052
+0 0 0 0 0 24 144 24 0 0 1269.23076923077 0 0.996506745341886
+0 0 0 0 0 24 152 24 0 0 1353.84615384615 0 0.996721678555939
+0 0 0 0 0 24 160 24 0 0 1438.46153846154 0 0.996912741263482
+0 0 0 0 0 24 168 24 0 0 1523.07692307692 0 0.997083341184788
+0 0 0 0 0 24 176 24 0 0 1607.69230769231 0 0.997236373844347
+0 0 0 0 0 24 184 24 0 0 1692.30769230769 0 0.997374286586592
+0 0 0 0 0 24 192 24 0 0 1776.92307692308 0 0.997499142833298
+0 0 0 0 0 24 200 24 0 0 1861.53846153846 0 0.99761267947155
+0 0 0 0 0 24 208 24 0 0 1946.15384615385 0 0.997716357405359
+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 0.997811405058631
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 0.997898856884813
+0 0 0 0 0 24 232 24 0 0 2200 0 0.997979588442908
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 0.990120023265812
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 0.98997630011656
+0 0 1 0 0 24 20 24 0 0 -42.3076923076923 0 0.989887754065229
+0 0 1 0 0 24 24 24 0 0 0 0 0.989857957968454
+0 0 1 0 0 24 28 24 0 0 42.3076923076923 0 0.989887754065229
+0 0 1 0 0 24 32 24 0 0 84.6153846153846 0 0.98997630011656
+0 0 1 0 0 24 36 24 0 0 126.923076923077 0 0.990120023265812
+0 0 1 0 0 24 40 24 0 0 169.230769230769 0 0.990313317430884
+0 0 1 0 0 24 44 24 0 0 211.538461538462 0 0.990548875848616
+0 0 1 0 0 24 48 24 0 0 253.846153846154 0 0.990819099662834
+0 0 1 0 0 24 52 24 0 0 296.153846153846 0 0.991115816159151
+0 0 1 0 0 24 56 24 0 0 338.461538461538 0 0.991431085644434
+0 0 1 0 0 24 60 24 0 0 380.769230769231 0 0.991757585371682
+0 0 1 0 0 24 64 24 0 0 423.076923076923 0 0.992088616979138
+0 0 1 0 0 24 68 24 0 0 465.384615384615 0 0.992419168165292
+0 0 1 0 0 24 72 24 0 0 507.692307692308 0 0.992744658995208
+0 0 1 0 0 24 76 24 0 0 550 0 0.993061667509698
+0 0 1 0 0 24 80 24 0 0 592.307692307692 0 0.993367707411063
+0 0 1 0 0 24 84 24 0 0 634.615384615385 0 0.993661051457019
+0 0 1 0 0 24 88 24 0 0 676.923076923077 0 0.993940691502878
+0 0 1 0 0 24 92 24 0 0 719.230769230769 0 0.994205957596342
+0 0 1 0 0 24 96 24 0 0 761.538461538462 0 0.994456707623765
+0 0 1 0 0 24 100 24 0 0 803.846153846154 0 0.994693039570025
+0 0 1 0 0 24 104 24 0 0 846.153846153846 0 0.994915385293671
+0 0 1 0 0 24 108 24 0 0 888.461538461538 0 0.995124179726762
+0 0 1 0 0 24 112 24 0 0 930.769230769231 0 0.99532012574227
+0 0 1 0 0 24 116 24 0 0 973.076923076923 0 0.995503819562619
+0 0 1 0 0 24 120 24 0 0 1015.38461538462 0 0.995676016071507
+0 0 1 0 0 24 124 24 0 0 1057.69230769231 0 0.995837440876876
+0 0 1 0 0 24 128 24 0 0 1100 0 0.995988778028419
+0 0 1 0 0 24 132 24 0 0 1142.30769230769 0 0.996130746561616
+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 0.996263967127052
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 0.996389122227255
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 18 24 0 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0.98992485489427
+0 0 2 0 0 24 20 24 0 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 0.989887754065229
+0 0 2 0 0 24 22 24 0 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 0.989865384570224
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0.989857957968454
+0 0 2 0 0 24 26 24 0 7.105427357601e-15 21.1538461538462 7.105427357601e-15 0.989865384570224
+0 0 2 0 0 24 28 24 0 7.105427357601e-15 42.3076923076923 7.105427357601e-15 0.989887754065229
+0 0 2 0 0 24 30 24 0 7.105427357601e-15 63.4615384615385 7.105427357601e-15 0.98992485489427
+0 0 2 0 0 24 32 24 0 7.105427357601e-15 84.6153846153846 7.105427357601e-15 0.98997630011656
+0 0 2 0 0 24 34 24 0 7.105427357601e-15 105.769230769231 7.105427357601e-15 0.99004156826459
+0 0 2 0 0 24 36 24 0 7.105427357601e-15 126.923076923077 7.105427357601e-15 0.990120023265812
+0 0 2 0 0 24 38 24 0 7.105427357601e-15 148.076923076923 7.105427357601e-15 0.990210913646584
+0 0 2 0 0 24 40 24 0 7.105427357601e-15 169.230769230769 7.105427357601e-15 0.990313317430884
+0 0 2 0 0 24 42 24 0 7.105427357601e-15 190.384615384615 7.105427357601e-15 0.990426199198458
+0 0 2 0 0 24 44 24 0 7.105427357601e-15 211.538461538462 7.105427357601e-15 0.990548875848616
+0 0 2 0 0 24 46 24 0 7.105427357601e-15 232.692307692308 7.105427357601e-15 0.990680322043579
+0 0 2 0 0 24 48 24 0 7.105427357601e-15 253.846153846154 7.105427357601e-15 0.990819099662834
+0 0 2 0 0 24 50 24 0 7.105427357601e-15 275 7.105427357601e-15 0.99096483350268
+0 0 2 0 0 24 52 24 0 7.105427357601e-15 296.153846153846 7.105427357601e-15 0.991115816159151
+0 0 2 0 0 24 54 24 0 7.105427357601e-15 317.307692307692 7.105427357601e-15 0.991271746248129
+0 0 2 0 0 24 56 24 0 7.105427357601e-15 338.461538461538 7.105427357601e-15 0.991431085644434
+0 0 2 0 0 24 58 24 0 7.105427357601e-15 359.615384615385 7.105427357601e-15 0.991593309818008
+0 0 2 0 0 24 60 24 0 7.105427357601e-15 380.769230769231 7.105427357601e-15 0.991757585371682
+0 0 2 0 0 24 62 24 0 7.105427357601e-15 401.923076923077 7.105427357601e-15 0.991922873852765
+0 0 2 0 0 24 64 24 0 7.105427357601e-15 423.076923076923 7.105427357601e-15 0.992088616979138
+0 0 2 0 0 24 66 24 0 7.105427357601e-15 444.230769230769 7.105427357601e-15 0.992254238870811
+0 0 2 0 0 24 68 24 0 7.105427357601e-15 465.384615384615 7.105427357601e-15 0.992419168165292
+0 0 2 0 0 24 70 24 0 7.105427357601e-15 486.538461538462 7.105427357601e-15 0.992582759997229
+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 0.992744658995208
+0 0 2 0 0 24 74 24 0 7.105427357601e-15 528.846153846154 7.105427357601e-15 0.992904378935487
+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 0.993061667509698
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 0.993216166489664
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 0.993367707411063
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 0.99351602942501
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 0.990120033626941
+4 0 1 0 0 24 16 24 15.8653846153846 0 -84.6153846153846 0 0.989976442077083
+4 0 1 0 0 24 20 24 15.8653846153846 0 -42.3076923076923 0 0.989887822347174
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 0.989857750422583
+4 0 1 0 0 24 28 24 15.8653846153846 0 42.3076923076923 0 0.989887822347174
+4 0 1 0 0 24 32 24 15.8653846153846 0 84.6153846153846 0 0.989976442077083
+4 0 1 0 0 24 36 24 15.8653846153846 0 126.923076923077 0 0.990120033626941
+4 0 1 0 0 24 40 24 15.8653846153846 0 169.230769230769 0 0.990313194975673
+4 0 1 0 0 24 44 24 15.8653846153846 0 211.538461538462 0 0.990548934637744
+4 0 1 0 0 24 48 24 15.8653846153846 0 253.846153846154 0 0.99081925769939
+4 0 1 0 0 24 52 24 15.8653846153846 0 296.153846153846 0 0.991115963812031
+4 0 1 0 0 24 56 24 15.8653846153846 0 338.461538461538 0 0.991431116850268
+4 0 1 0 0 24 60 24 15.8653846153846 0 380.769230769231 0 0.991757508027798
+4 0 1 0 0 24 64 24 15.8653846153846 0 423.076923076923 0 0.992088652139266
+4 0 1 0 0 24 68 24 15.8653846153846 0 465.384615384615 0 0.992419189750376
+4 0 1 0 0 24 72 24 15.8653846153846 0 507.692307692308 0 0.992744649264457
+4 0 1 0 0 24 76 24 15.8653846153846 0 550 0 0.993061657480035
+4 0 1 0 0 24 80 24 15.8653846153846 0 592.307692307692 0 0.993367714564485
+4 0 1 0 0 24 84 24 15.8653846153846 0 634.615384615385 0 0.993661068624518
+4 0 1 0 0 24 88 24 15.8653846153846 0 676.923076923077 0 0.993940675941323
+4 0 1 0 0 24 92 24 15.8653846153846 0 719.230769230769 0 0.994205962100491
+4 0 1 0 0 24 96 24 15.8653846153846 0 761.538461538462 0 0.994456694810911
+4 0 1 0 0 24 100 24 15.8653846153846 0 803.846153846154 0 0.994693045624331
+4 0 1 0 0 24 104 24 15.8653846153846 0 846.153846153846 0 0.99491538083976
+4 0 1 0 0 24 108 24 15.8653846153846 0 888.461538461538 0 0.995124168716238
+4 0 1 0 0 24 112 24 15.8653846153846 0 930.769230769231 0 0.995320114952781
+4 0 1 0 0 24 116 24 15.8653846153846 0 973.076923076923 0 0.995503810774551
+4 0 1 0 0 24 120 24 15.8653846153846 0 1015.38461538462 0 0.99567600895127
+4 0 1 0 0 24 124 24 15.8653846153846 0 1057.69230769231 0 0.995837433130664
+4 0 1 0 0 24 128 24 15.8653846153846 0 1100 0 0.995988769470436
+4 0 1 0 0 24 132 24 15.8653846153846 0 1142.30769230769 0 0.996130738941653
+4 0 1 0 0 24 136 24 15.8653846153846 0 1184.61538461538 0 0.996263960751949
+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 0.996389116415709
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 18 24 15.8653846153846 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0.989924969815998
+4 0 2 0 0 24 20 24 15.8653846153846 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 0.989887822347174
+4 0 2 0 0 24 22 24 15.8653846153846 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 0.989865348288309
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0.989857750422583
+4 0 2 0 0 24 26 24 15.8653846153846 7.105427357601e-15 21.1538461538462 7.105427357601e-15 0.989865348288309
+4 0 2 0 0 24 28 24 15.8653846153846 7.105427357601e-15 42.3076923076923 7.105427357601e-15 0.989887822347174
+4 0 2 0 0 24 30 24 15.8653846153846 7.105427357601e-15 63.4615384615385 7.105427357601e-15 0.989924969815998
+4 0 2 0 0 24 32 24 15.8653846153846 7.105427357601e-15 84.6153846153846 7.105427357601e-15 0.989976442077083
+4 0 2 0 0 24 34 24 15.8653846153846 7.105427357601e-15 105.769230769231 7.105427357601e-15 0.99004166173625
+4 0 2 0 0 24 36 24 15.8653846153846 7.105427357601e-15 126.923076923077 7.105427357601e-15 0.990120033626941
+4 0 2 0 0 24 38 24 15.8653846153846 7.105427357601e-15 148.076923076923 7.105427357601e-15 0.990210823194787
+4 0 2 0 0 24 40 24 15.8653846153846 7.105427357601e-15 169.230769230769 7.105427357601e-15 0.990313194975673
+4 0 2 0 0 24 42 24 15.8653846153846 7.105427357601e-15 190.384615384615 7.105427357601e-15 0.990426278970208
+4 0 2 0 0 24 44 24 15.8653846153846 7.105427357601e-15 211.538461538462 7.105427357601e-15 0.990548934637744
+4 0 2 0 0 24 46 24 15.8653846153846 7.105427357601e-15 232.692307692308 7.105427357601e-15 0.99068017441721
+4 0 2 0 0 24 48 24 15.8653846153846 7.105427357601e-15 253.846153846154 7.105427357601e-15 0.99081925769939
+4 0 2 0 0 24 50 24 15.8653846153846 7.105427357601e-15 275 7.105427357601e-15 0.990964691634104
+4 0 2 0 0 24 52 24 15.8653846153846 7.105427357601e-15 296.153846153846 7.105427357601e-15 0.991115963812031
+4 0 2 0 0 24 54 24 15.8653846153846 7.105427357601e-15 317.307692307692 7.105427357601e-15 0.991271637139542
+4 0 2 0 0 24 56 24 15.8653846153846 7.105427357601e-15 338.461538461538 7.105427357601e-15 0.991431116850268
+4 0 2 0 0 24 58 24 15.8653846153846 7.105427357601e-15 359.615384615385 7.105427357601e-15 0.991593377116083
+4 0 2 0 0 24 60 24 15.8653846153846 7.105427357601e-15 380.769230769231 7.105427357601e-15 0.991757508027798
+4 0 2 0 0 24 62 24 15.8653846153846 7.105427357601e-15 401.923076923077 7.105427357601e-15 0.991922838126052
+4 0 2 0 0 24 64 24 15.8653846153846 7.105427357601e-15 423.076923076923 7.105427357601e-15 0.992088652139266
+4 0 2 0 0 24 66 24 15.8653846153846 7.105427357601e-15 444.230769230769 7.105427357601e-15 0.992254276232158
+4 0 2 0 0 24 68 24 15.8653846153846 7.105427357601e-15 465.384615384615 7.105427357601e-15 0.992419189750376
+4 0 2 0 0 24 70 24 15.8653846153846 7.105427357601e-15 486.538461538462 7.105427357601e-15 0.992582765094637
+4 0 2 0 0 24 72 24 15.8653846153846 7.105427357601e-15 507.692307692308 7.105427357601e-15 0.992744649264457
+4 0 2 0 0 24 74 24 15.8653846153846 7.105427357601e-15 528.846153846154 7.105427357601e-15 0.992904366024098
+4 0 2 0 0 24 76 24 15.8653846153846 7.105427357601e-15 550 7.105427357601e-15 0.993061657480035
+4 0 2 0 0 24 78 24 15.8653846153846 7.105427357601e-15 571.153846153846 7.105427357601e-15 0.993216164406981
+4 0 2 0 0 24 80 24 15.8653846153846 7.105427357601e-15 592.307692307692 7.105427357601e-15 0.993367714564485
+4 0 2 0 0 24 82 24 15.8653846153846 7.105427357601e-15 613.461538461538 7.105427357601e-15 0.993516044704979
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 0 24 31.7307692307692 0 -253.846153846154 0 0.990819137444828
+8 0 0 0 0 24 8 24 31.7307692307692 0 -169.230769230769 0 0.990313204674082
+8 0 0 0 0 24 16 24 31.7307692307692 0 -84.6153846153846 0 0.989976346036843
+8 0 0 0 0 24 24 24 31.7307692307692 0 0 0 0.989857893681809
+8 0 0 0 0 24 32 24 31.7307692307692 0 84.6153846153846 0 0.989976346036843
+8 0 0 0 0 24 40 24 31.7307692307692 0 169.230769230769 0 0.990313204674082
+8 0 0 0 0 24 48 24 31.7307692307692 0 253.846153846154 0 0.990819137444828
+8 0 0 0 0 24 56 24 31.7307692307692 0 338.461538461539 0 0.991431178350682
+8 0 0 0 0 24 64 24 31.7307692307692 0 423.076923076923 0 0.992088732473615
+8 0 0 0 0 24 72 24 31.7307692307692 0 507.692307692308 0 0.99274461125515
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+8 0 0 0 0 24 232 24 31.7307692307692 0 2200 0 0.997979630790234
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 24 140 24 31.7307692307692 0 1226.92307692308 0 0.996389098969229
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 0.996389071208965
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 78 24 47.5961538461538 7.105427357601e-15 571.153846153846 7.105427357601e-15 0.993216084937408
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+12 0 2 0 0 24 82 24 47.5961538461538 7.105427357601e-15 613.461538461538 7.105427357601e-15 0.993516008735103
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 232 24 63.4615384615385 0 2200 0 0.997979647393444
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 0.996389032694534
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 140 24 79.3269230769231 0 1226.92307692308 0 0.996388984519553
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 0.990964778893714
+28 0 2 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 0.991115945556449
+28 0 2 0 0 24 54 24 111.057692307692 7.105427357601e-15 317.307692307692 7.105427357601e-15 0.991271692983623
+28 0 2 0 0 24 56 24 111.057692307692 7.105427357601e-15 338.461538461538 7.105427357601e-15 0.991431131580869
+28 0 2 0 0 24 58 24 111.057692307692 7.105427357601e-15 359.615384615385 7.105427357601e-15 0.991593358708959
+28 0 2 0 0 24 60 24 111.057692307692 7.105427357601e-15 380.769230769231 7.105427357601e-15 0.991757526741309
+28 0 2 0 0 24 62 24 111.057692307692 7.105427357601e-15 401.923076923077 7.105427357601e-15 0.991922867353603
+28 0 2 0 0 24 64 24 111.057692307692 7.105427357601e-15 423.076923076923 7.105427357601e-15 0.992088663543358
+28 0 2 0 0 24 66 24 111.057692307692 7.105427357601e-15 444.230769230769 7.105427357601e-15 0.992254238051321
+28 0 2 0 0 24 68 24 111.057692307692 7.105427357601e-15 465.384615384615 7.105427357601e-15 0.99241909799273
+28 0 2 0 0 24 70 24 111.057692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 0.992582648548139
+28 0 2 0 0 24 72 24 111.057692307692 7.105427357601e-15 507.692307692308 7.105427357601e-15 0.992744518262343
+28 0 2 0 0 24 74 24 111.057692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 0.992904222062835
+28 0 2 0 0 24 76 24 111.057692307692 7.105427357601e-15 550 7.105427357601e-15 0.993061505982077
+28 0 2 0 0 24 78 24 111.057692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 0.993216011997934
+28 0 2 0 0 24 80 24 111.057692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 0.993367567201685
+28 0 2 0 0 24 82 24 111.057692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 0.99351591060458
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 24 21 24 111.057692307692 7.105427357601e-15 -31.7307692307692 7.105427357601e-15 0.989874780384763
+28 0 3 0 0 24 22 24 111.057692307692 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 0.989865417556212
+28 0 3 0 0 24 23 24 111.057692307692 7.105427357601e-15 -10.5769230769231 7.105427357601e-15 0.989859785275291
+28 0 3 0 0 24 24 24 111.057692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0.989857901801226
+28 0 3 0 0 24 25 24 111.057692307692 7.105427357601e-15 10.5769230769231 7.105427357601e-15 0.989859785275291
+28 0 3 0 0 24 26 24 111.057692307692 7.105427357601e-15 21.1538461538462 7.105427357601e-15 0.989865417556212
+28 0 3 0 0 24 27 24 111.057692307692 7.105427357601e-15 31.7307692307692 7.105427357601e-15 0.989874780384763
+28 0 3 0 0 24 28 24 111.057692307692 7.105427357601e-15 42.3076923076923 7.105427357601e-15 0.989887845945465
+28 0 3 0 0 24 29 24 111.057692307692 7.105427357601e-15 52.8846153846154 7.105427357601e-15 0.989904596885585
+28 0 3 0 0 24 30 24 111.057692307692 7.105427357601e-15 63.4615384615385 7.105427357601e-15 0.989924983538861
+28 0 3 0 0 24 31 24 111.057692307692 7.105427357601e-15 74.0384615384616 7.105427357601e-15 0.98994894907482
+28 0 3 0 0 24 32 24 111.057692307692 7.105427357601e-15 84.6153846153846 7.105427357601e-15 0.989976422491992
+28 0 3 0 0 24 33 24 111.057692307692 7.105427357601e-15 95.1923076923077 7.105427357601e-15 0.99000735349051
+28 0 3 0 0 24 34 24 111.057692307692 7.105427357601e-15 105.769230769231 7.105427357601e-15 0.990041672688302
+28 0 3 0 0 24 35 24 111.057692307692 7.105427357601e-15 116.346153846154 7.105427357601e-15 0.99007929743494
+28 0 3 0 0 24 36 24 111.057692307692 7.105427357601e-15 126.923076923077 7.105427357601e-15 0.990120116854385
+28 0 3 0 0 24 37 24 111.057692307692 7.105427357601e-15 137.5 7.105427357601e-15 0.990164036624576
+28 0 3 0 0 24 38 24 111.057692307692 7.105427357601e-15 148.076923076923 7.105427357601e-15 0.990210956006367
+28 0 3 0 0 24 39 24 111.057692307692 7.105427357601e-15 158.653846153846 7.105427357601e-15 0.990260768846488
+28 0 3 0 0 24 40 24 111.057692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 0.990313347594247
+28 0 3 0 0 24 41 24 111.057692307692 7.105427357601e-15 179.807692307692 7.105427357601e-15 0.990368568132894
+28 0 3 0 0 24 42 24 111.057692307692 7.105427357601e-15 190.384615384615 7.105427357601e-15 0.99042631292724
+28 0 3 0 0 24 43 24 111.057692307692 7.105427357601e-15 200.961538461539 7.105427357601e-15 0.99048648000364
+28 0 3 0 0 24 44 24 111.057692307692 7.105427357601e-15 211.538461538462 7.105427357601e-15 0.990548946739521
+28 0 3 0 0 24 45 24 111.057692307692 7.105427357601e-15 222.115384615385 7.105427357601e-15 0.990613577659836
+28 0 3 0 0 24 46 24 111.057692307692 7.105427357601e-15 232.692307692308 7.105427357601e-15 0.990680248208411
+28 0 3 0 0 24 47 24 111.057692307692 7.105427357601e-15 243.269230769231 7.105427357601e-15 0.99074883122896
+28 0 3 0 0 24 48 24 111.057692307692 7.105427357601e-15 253.846153846154 7.105427357601e-15 0.990819199046766
+28 0 3 0 0 24 49 24 111.057692307692 7.105427357601e-15 264.423076923077 7.105427357601e-15 0.990891225481216
+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 0.990964778893714
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 0.991039726751317
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 0.991115945556449
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 0.991193302274129
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/alp.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/alp.z.asc
new file mode 100644
index 000000000..5dda46e05
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/alp.z.asc
@@ -0,0 +1,864 @@
+# ADMBASE::alp z (alp)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 0.990819099662834
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 0.990313317430884
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 0.98997630011656
+0 0 0 0 0 24 24 24 0 0 0 0 0.989857957968454
+0 0 0 0 0 24 24 32 0 0 0 84.6153846153846 0.98997630011656
+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 0.990313317430884
+0 0 0 0 0 24 24 48 0 0 0 253.846153846154 0.990819099662834
+0 0 0 0 0 24 24 56 0 0 0 338.461538461539 0.991431085644434
+0 0 0 0 0 24 24 64 0 0 0 423.076923076923 0.992088616979138
+0 0 0 0 0 24 24 72 0 0 0 507.692307692308 0.992744658995208
+0 0 0 0 0 24 24 80 0 0 0 592.307692307692 0.993367707411063
+0 0 0 0 0 24 24 88 0 0 0 676.923076923077 0.993940691502878
+0 0 0 0 0 24 24 96 0 0 0 761.538461538462 0.994456707623765
+0 0 0 0 0 24 24 104 0 0 0 846.153846153846 0.994915385293671
+0 0 0 0 0 24 24 112 0 0 0 930.769230769231 0.99532012574227
+0 0 0 0 0 24 24 120 0 0 0 1015.38461538462 0.995676016071507
+0 0 0 0 0 24 24 128 0 0 0 1100 0.995988778028419
+0 0 0 0 0 24 24 136 0 0 0 1184.61538461538 0.996263967127052
+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 0.996506745341886
+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 0.996721678555939
+0 0 0 0 0 24 24 160 0 0 0 1438.46153846154 0.996912741263482
+0 0 0 0 0 24 24 168 0 0 0 1523.07692307692 0.997083341184788
+0 0 0 0 0 24 24 176 0 0 0 1607.69230769231 0.997236373844347
+0 0 0 0 0 24 24 184 0 0 0 1692.30769230769 0.997374286586592
+0 0 0 0 0 24 24 192 0 0 0 1776.92307692308 0.997499142833298
+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 0.99761267947155
+0 0 0 0 0 24 24 208 0 0 0 1946.15384615385 0.997716357405359
+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 0.997811405058631
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 0.997898856884813
+0 0 0 0 0 24 24 232 0 0 0 2200 0.997979588442908
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 0.990120023265812
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 0.98997630011656
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 0.989887754065229
+0 0 1 0 0 24 24 24 0 0 0 0 0.989857957968454
+0 0 1 0 0 24 24 28 0 0 0 42.3076923076923 0.989887754065229
+0 0 1 0 0 24 24 32 0 0 0 84.6153846153846 0.98997630011656
+0 0 1 0 0 24 24 36 0 0 0 126.923076923077 0.990120023265812
+0 0 1 0 0 24 24 40 0 0 0 169.230769230769 0.990313317430884
+0 0 1 0 0 24 24 44 0 0 0 211.538461538462 0.990548875848616
+0 0 1 0 0 24 24 48 0 0 0 253.846153846154 0.990819099662834
+0 0 1 0 0 24 24 52 0 0 0 296.153846153846 0.991115816159151
+0 0 1 0 0 24 24 56 0 0 0 338.461538461538 0.991431085644434
+0 0 1 0 0 24 24 60 0 0 0 380.769230769231 0.991757585371682
+0 0 1 0 0 24 24 64 0 0 0 423.076923076923 0.992088616979138
+0 0 1 0 0 24 24 68 0 0 0 465.384615384615 0.992419168165292
+0 0 1 0 0 24 24 72 0 0 0 507.692307692308 0.992744658995208
+0 0 1 0 0 24 24 76 0 0 0 550 0.993061667509698
+0 0 1 0 0 24 24 80 0 0 0 592.307692307692 0.993367707411063
+0 0 1 0 0 24 24 84 0 0 0 634.615384615385 0.993661051457019
+0 0 1 0 0 24 24 88 0 0 0 676.923076923077 0.993940691502878
+0 0 1 0 0 24 24 92 0 0 0 719.230769230769 0.994205957596342
+0 0 1 0 0 24 24 96 0 0 0 761.538461538462 0.994456707623765
+0 0 1 0 0 24 24 100 0 0 0 803.846153846154 0.994693039570025
+0 0 1 0 0 24 24 104 0 0 0 846.153846153846 0.994915385293671
+0 0 1 0 0 24 24 108 0 0 0 888.461538461538 0.995124179726762
+0 0 1 0 0 24 24 112 0 0 0 930.769230769231 0.99532012574227
+0 0 1 0 0 24 24 116 0 0 0 973.076923076923 0.995503819562619
+0 0 1 0 0 24 24 120 0 0 0 1015.38461538462 0.995676016071507
+0 0 1 0 0 24 24 124 0 0 0 1057.69230769231 0.995837440876876
+0 0 1 0 0 24 24 128 0 0 0 1100 0.995988778028419
+0 0 1 0 0 24 24 132 0 0 0 1142.30769230769 0.996130746561616
+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 0.996263967127052
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 0.996389122227255
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0.98992485489427
+0 0 2 0 0 24 24 20 0 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 0.989887754065229
+0 0 2 0 0 24 24 22 0 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 0.989865384570224
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0.989857957968454
+0 0 2 0 0 24 24 26 0 7.105427357601e-15 7.105427357601e-15 21.1538461538462 0.989865384570224
+0 0 2 0 0 24 24 28 0 7.105427357601e-15 7.105427357601e-15 42.3076923076923 0.989887754065229
+0 0 2 0 0 24 24 30 0 7.105427357601e-15 7.105427357601e-15 63.4615384615385 0.98992485489427
+0 0 2 0 0 24 24 32 0 7.105427357601e-15 7.105427357601e-15 84.6153846153846 0.98997630011656
+0 0 2 0 0 24 24 34 0 7.105427357601e-15 7.105427357601e-15 105.769230769231 0.99004156826459
+0 0 2 0 0 24 24 36 0 7.105427357601e-15 7.105427357601e-15 126.923076923077 0.990120023265812
+0 0 2 0 0 24 24 38 0 7.105427357601e-15 7.105427357601e-15 148.076923076923 0.990210913646584
+0 0 2 0 0 24 24 40 0 7.105427357601e-15 7.105427357601e-15 169.230769230769 0.990313317430884
+0 0 2 0 0 24 24 42 0 7.105427357601e-15 7.105427357601e-15 190.384615384615 0.990426199198458
+0 0 2 0 0 24 24 44 0 7.105427357601e-15 7.105427357601e-15 211.538461538462 0.990548875848616
+0 0 2 0 0 24 24 46 0 7.105427357601e-15 7.105427357601e-15 232.692307692308 0.990680322043579
+0 0 2 0 0 24 24 48 0 7.105427357601e-15 7.105427357601e-15 253.846153846154 0.990819099662834
+0 0 2 0 0 24 24 50 0 7.105427357601e-15 7.105427357601e-15 275 0.99096483350268
+0 0 2 0 0 24 24 52 0 7.105427357601e-15 7.105427357601e-15 296.153846153846 0.991115816159151
+0 0 2 0 0 24 24 54 0 7.105427357601e-15 7.105427357601e-15 317.307692307692 0.991271746248129
+0 0 2 0 0 24 24 56 0 7.105427357601e-15 7.105427357601e-15 338.461538461538 0.991431085644434
+0 0 2 0 0 24 24 58 0 7.105427357601e-15 7.105427357601e-15 359.615384615385 0.991593309818008
+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 0.991757585371682
+0 0 2 0 0 24 24 62 0 7.105427357601e-15 7.105427357601e-15 401.923076923077 0.991922873852765
+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 0.992088616979138
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 0.992254238870811
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 0.992419168165292
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 0.992582759997229
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 0.992744658995208
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 0.992904378935487
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 0.993061667509698
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 0.993216166489664
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 0.993367707411063
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 0.99351602942501
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 0.990120033626941
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 0.989976442077083
+4 0 1 0 0 24 24 20 15.8653846153846 0 0 -42.3076923076923 0.989887822347174
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 0.989857750422583
+4 0 1 0 0 24 24 28 15.8653846153846 0 0 42.3076923076923 0.989887822347174
+4 0 1 0 0 24 24 32 15.8653846153846 0 0 84.6153846153846 0.989976442077083
+4 0 1 0 0 24 24 36 15.8653846153846 0 0 126.923076923077 0.990120033626941
+4 0 1 0 0 24 24 40 15.8653846153846 0 0 169.230769230769 0.990313194975673
+4 0 1 0 0 24 24 44 15.8653846153846 0 0 211.538461538462 0.990548934637744
+4 0 1 0 0 24 24 48 15.8653846153846 0 0 253.846153846154 0.99081925769939
+4 0 1 0 0 24 24 52 15.8653846153846 0 0 296.153846153846 0.991115963812031
+4 0 1 0 0 24 24 56 15.8653846153846 0 0 338.461538461538 0.991431116850268
+4 0 1 0 0 24 24 60 15.8653846153846 0 0 380.769230769231 0.991757508027798
+4 0 1 0 0 24 24 64 15.8653846153846 0 0 423.076923076923 0.992088652139266
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+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 0.996389116415709
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 2 0 0 24 24 78 15.8653846153846 7.105427357601e-15 7.105427357601e-15 571.153846153846 0.993216164406981
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+4 0 2 0 0 24 24 82 15.8653846153846 7.105427357601e-15 7.105427357601e-15 613.461538461538 0.993516044704979
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 24 24 56 31.7307692307692 0 0 338.461538461539 0.991431178350682
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+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 0.997979630790234
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 24 12 31.7307692307692 0 0 -126.923076923077 0.990120102699358
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+8 0 1 0 0 24 24 140 31.7307692307692 0 0 1226.92307692308 0.996389098969229
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 24 70 31.7307692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 0.992582727638309
+8 0 2 0 0 24 24 72 31.7307692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 0.99274461125515
+8 0 2 0 0 24 24 74 31.7307692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 0.992904327425197
+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 0.993061621694595
+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 0.993216132482567
+8 0 2 0 0 24 24 80 31.7307692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 0.993367691624028
+8 0 2 0 0 24 24 82 31.7307692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 0.993516045658576
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 24 12 47.5961538461538 0 0 -126.923076923077 0.990119995294156
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+12 0 1 0 0 24 24 124 47.5961538461538 0 0 1057.69230769231 0.995837369963532
+12 0 1 0 0 24 24 128 47.5961538461538 0 0 1100 0.995988706474758
+12 0 1 0 0 24 24 132 47.5961538461538 0 0 1142.30769230769 0.996130682231004
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+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 0.996389071208965
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 24 18 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0.989924846585305
+12 0 2 0 0 24 24 20 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 0.989887773215148
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+12 0 2 0 0 24 24 50 47.5961538461538 7.105427357601e-15 7.105427357601e-15 275 0.990964723285897
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+12 0 2 0 0 24 24 54 47.5961538461538 7.105427357601e-15 7.105427357601e-15 317.307692307692 0.991271723807354
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+12 0 2 0 0 24 24 66 47.5961538461538 7.105427357601e-15 7.105427357601e-15 444.230769230769 0.992254263840078
+12 0 2 0 0 24 24 68 47.5961538461538 7.105427357601e-15 7.105427357601e-15 465.384615384615 0.992419121641241
+12 0 2 0 0 24 24 70 47.5961538461538 7.105427357601e-15 7.105427357601e-15 486.538461538462 0.992582677898981
+12 0 2 0 0 24 24 72 47.5961538461538 7.105427357601e-15 7.105427357601e-15 507.692307692308 0.9927445579879
+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 0.99290427656708
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 0.993061574511504
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 0.993216084937408
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 0.993367645780117
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 0.993516008735103
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 24 24 0 63.4615384615385 0 0 -253.846153846154 0.990819188813312
+16 0 0 0 0 24 24 8 63.4615384615385 0 0 -169.230769230769 0.990313199760104
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+16 0 0 0 0 24 24 40 63.4615384615385 0 0 169.230769230769 0.990313199760104
+16 0 0 0 0 24 24 48 63.4615384615385 0 0 253.846153846154 0.990819188813312
+16 0 0 0 0 24 24 56 63.4615384615385 0 0 338.461538461539 0.991431139671499
+16 0 0 0 0 24 24 64 63.4615384615385 0 0 423.076923076923 0.99208861171533
+16 0 0 0 0 24 24 72 63.4615384615385 0 0 507.692307692308 0.992744518517442
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+16 0 0 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 0.995319972574229
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+16 0 0 0 0 24 24 160 63.4615384615385 0 0 1438.46153846154 0.996912687971763
+16 0 0 0 0 24 24 168 63.4615384615385 0 0 1523.07692307692 0.997083298151754
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+16 0 0 0 0 24 24 184 63.4615384615385 0 0 1692.30769230769 0.997374257731542
+16 0 0 0 0 24 24 192 63.4615384615385 0 0 1776.92307692308 0.997499119256485
+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 0.997612660183102
+16 0 0 0 0 24 24 208 63.4615384615385 0 0 1946.15384615385 0.99771634135137
+16 0 0 0 0 24 24 216 63.4615384615385 0 0 2030.76923076923 0.997811392937716
+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 0.997898862601245
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 0.997979647393444
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 0.990119930030814
+16 0 1 0 0 24 24 16 63.4615384615385 0 0 -84.6153846153846 0.989976338269134
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+16 0 1 0 0 24 24 32 63.4615384615385 0 0 84.6153846153846 0.989976338269134
+16 0 1 0 0 24 24 36 63.4615384615385 0 0 126.923076923077 0.990119930030814
+16 0 1 0 0 24 24 40 63.4615384615385 0 0 169.230769230769 0.990313199760104
+16 0 1 0 0 24 24 44 63.4615384615385 0 0 211.538461538462 0.990548906795196
+16 0 1 0 0 24 24 48 63.4615384615385 0 0 253.846153846154 0.990819188813312
+16 0 1 0 0 24 24 52 63.4615384615385 0 0 296.153846153846 0.991115921637137
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+16 0 1 0 0 24 24 76 63.4615384615385 0 0 550 0.993061537675065
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+16 0 1 0 0 24 24 92 63.4615384615385 0 0 719.230769230769 0.994205901762861
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+16 0 1 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 0.99491534587731
+16 0 1 0 0 24 24 108 63.4615384615385 0 0 888.461538461538 0.995124082152175
+16 0 1 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 0.995319972574229
+16 0 1 0 0 24 24 116 63.4615384615385 0 0 973.076923076923 0.995503669551839
+16 0 1 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 0.995675884587018
+16 0 1 0 0 24 24 124 63.4615384615385 0 0 1057.69230769231 0.995837313829057
+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 0.995988655744479
+16 0 1 0 0 24 24 132 63.4615384615385 0 0 1142.30769230769 0.996130636017986
+16 0 1 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 0.996263869144338
+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 0.996389032694534
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 24 18 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0.989924854184859
+16 0 2 0 0 24 24 20 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 0.989887665725485
+16 0 2 0 0 24 24 22 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 0.98986522941858
+16 0 2 0 0 24 24 24 63.4615384615385 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0.989857731120773
+16 0 2 0 0 24 24 26 63.4615384615385 7.105427357601e-15 7.105427357601e-15 21.1538461538462 0.98986522941858
+16 0 2 0 0 24 24 28 63.4615384615385 7.105427357601e-15 7.105427357601e-15 42.3076923076923 0.989887665725485
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+16 0 2 0 0 24 24 32 63.4615384615385 7.105427357601e-15 7.105427357601e-15 84.6153846153846 0.989976338269134
+16 0 2 0 0 24 24 34 63.4615384615385 7.105427357601e-15 7.105427357601e-15 105.769230769231 0.990041539479846
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+16 0 2 0 0 24 24 38 63.4615384615385 7.105427357601e-15 7.105427357601e-15 148.076923076923 0.99021079000504
+16 0 2 0 0 24 24 40 63.4615384615385 7.105427357601e-15 7.105427357601e-15 169.230769230769 0.990313199760104
+16 0 2 0 0 24 24 42 63.4615384615385 7.105427357601e-15 7.105427357601e-15 190.384615384615 0.990426220086987
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+16 0 2 0 0 24 24 46 63.4615384615385 7.105427357601e-15 7.105427357601e-15 232.692307692308 0.990680220357806
+16 0 2 0 0 24 24 48 63.4615384615385 7.105427357601e-15 7.105427357601e-15 253.846153846154 0.990819188813312
+16 0 2 0 0 24 24 50 63.4615384615385 7.105427357601e-15 7.105427357601e-15 275 0.990964775935252
+16 0 2 0 0 24 24 52 63.4615384615385 7.105427357601e-15 7.105427357601e-15 296.153846153846 0.991115921637137
+16 0 2 0 0 24 24 54 63.4615384615385 7.105427357601e-15 7.105427357601e-15 317.307692307692 0.991271645688629
+16 0 2 0 0 24 24 56 63.4615384615385 7.105427357601e-15 7.105427357601e-15 338.461538461538 0.991431139671499
+16 0 2 0 0 24 24 58 63.4615384615385 7.105427357601e-15 7.105427357601e-15 359.615384615385 0.991593410410088
+16 0 2 0 0 24 24 60 63.4615384615385 7.105427357601e-15 7.105427357601e-15 380.769230769231 0.99175756690145
+16 0 2 0 0 24 24 62 63.4615384615385 7.105427357601e-15 7.105427357601e-15 401.923076923077 0.991922852129961
+16 0 2 0 0 24 24 64 63.4615384615385 7.105427357601e-15 7.105427357601e-15 423.076923076923 0.99208861171533
+16 0 2 0 0 24 24 66 63.4615384615385 7.105427357601e-15 7.105427357601e-15 444.230769230769 0.992254196028175
+16 0 2 0 0 24 24 68 63.4615384615385 7.105427357601e-15 7.105427357601e-15 465.384615384615 0.992419079603524
+16 0 2 0 0 24 24 70 63.4615384615385 7.105427357601e-15 7.105427357601e-15 486.538461538462 0.992582639606144
+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 0.992744518517442
+16 0 2 0 0 24 24 74 63.4615384615385 7.105427357601e-15 7.105427357601e-15 528.846153846154 0.992904238143802
+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 0.993061537675065
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 0.993216052650958
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 0.993367615828205
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 0.993515970406863
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 24 24 12 79.3269230769231 0 0 -126.923076923077 0.990119992388832
+20 0 1 0 0 24 24 16 79.3269230769231 0 0 -84.6153846153846 0.989976287075409
+20 0 1 0 0 24 24 20 79.3269230769231 0 0 -42.3076923076923 0.989887658124553
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+20 0 1 0 0 24 24 28 79.3269230769231 0 0 42.3076923076923 0.989887658124553
+20 0 1 0 0 24 24 32 79.3269230769231 0 0 84.6153846153846 0.989976287075409
+20 0 1 0 0 24 24 36 79.3269230769231 0 0 126.923076923077 0.990119992388832
+20 0 1 0 0 24 24 40 79.3269230769231 0 0 169.230769230769 0.990313168131914
+20 0 1 0 0 24 24 44 79.3269230769231 0 0 211.538461538462 0.990548898999932
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+20 0 1 0 0 24 24 52 79.3269230769231 0 0 296.153846153846 0.991115910410457
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+20 0 1 0 0 24 24 72 79.3269230769231 0 0 507.692307692308 0.992744497317259
+20 0 1 0 0 24 24 76 79.3269230769231 0 0 550 0.99306152098935
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+20 0 1 0 0 24 24 96 79.3269230769231 0 0 761.538461538462 0.99445664397159
+20 0 1 0 0 24 24 100 79.3269230769231 0 0 803.846153846154 0.994693001396654
+20 0 1 0 0 24 24 104 79.3269230769231 0 0 846.153846153846 0.994915301938658
+20 0 1 0 0 24 24 108 79.3269230769231 0 0 888.461538461538 0.995124019762394
+20 0 1 0 0 24 24 112 79.3269230769231 0 0 930.769230769231 0.995319900737508
+20 0 1 0 0 24 24 116 79.3269230769231 0 0 973.076923076923 0.995503593846999
+20 0 1 0 0 24 24 120 79.3269230769231 0 0 1015.38461538462 0.995675809137052
+20 0 1 0 0 24 24 124 79.3269230769231 0 0 1057.69230769231 0.995837243956053
+20 0 1 0 0 24 24 128 79.3269230769231 0 0 1100 0.995988593130588
+20 0 1 0 0 24 24 132 79.3269230769231 0 0 1142.30769230769 0.996130578577412
+20 0 1 0 0 24 24 136 79.3269230769231 0 0 1184.61538461538 0.996263816374411
+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 0.996388984519553
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 24 24 18 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0.989924821305994
+20 0 2 0 0 24 24 20 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 0.989887658124553
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 24 140 111.057692307692 0 0 1226.92307692308 0.99638885875644
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 0.99351591060458
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/alp_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/alp_maximum.xg
new file mode 100644
index 000000000..d9c460216
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/alp_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::alp
+"alp v time
+0.0000000000000e+00 9.9883301657912e-01
+7.9326923076923e+00 9.9541650871365e-01
+1.5865384615385e+01 9.9766739496329e-01
+2.3798076923077e+01 9.9541652237081e-01
+3.1730769230769e+01 9.9883301761064e-01
+3.9663461538462e+01 9.9541653568743e-01
+4.7596153846154e+01 9.9766740083619e-01
+5.5528846153846e+01 9.9541655451122e-01
+6.3461538461538e+01 9.9883301823354e-01
+7.1394230769231e+01 9.9541658037396e-01
+7.5360576923077e+01 9.9250392945986e-01
+7.9326923076923e+01 9.9766741257842e-01
+8.3293269230769e+01 9.9250393366512e-01
+8.7259615384615e+01 9.9541661185288e-01
+9.1225961538462e+01 9.9250396954571e-01
+9.5192307692308e+01 9.9883301909545e-01
+9.9158653846154e+01 9.9250401426118e-01
+1.0312500000000e+02 9.9541665447653e-01
+1.0709134615385e+02 9.9250404748248e-01
+1.1105769230769e+02 9.9766743020281e-01
+1.1502403846154e+02 9.9250406328412e-01
+1.1899038461538e+02 9.9541670575382e-01
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/alp_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/alp_minimum.xg
new file mode 100644
index 000000000..f6f608667
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/alp_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::alp
+"alp v time
+0.0000000000000e+00 9.8985795796845e-01
+7.9326923076923e+00 9.8985789254246e-01
+1.5865384615385e+01 9.8985775042258e-01
+2.3798076923077e+01 9.8985778429459e-01
+3.1730769230769e+01 9.8985789368181e-01
+3.9663461538462e+01 9.8985785735307e-01
+4.7596153846154e+01 9.8985779867751e-01
+5.5528846153846e+01 9.8985777708826e-01
+6.3461538461538e+01 9.8985773112077e-01
+7.1394230769231e+01 9.8985767607974e-01
+7.5360576923077e+01 9.8985766403798e-01
+7.9326923076923e+01 9.8985767150678e-01
+8.3293269230769e+01 9.8985769221858e-01
+8.7259615384615e+01 9.8985771626718e-01
+9.1225961538462e+01 9.8985773666368e-01
+9.5192307692308e+01 9.8985775322628e-01
+9.9158653846154e+01 9.8985777170854e-01
+1.0312500000000e+02 9.8985779981423e-01
+1.0709134615385e+02 9.8985784297579e-01
+1.1105769230769e+02 9.8985790180123e-01
+1.1502403846154e+02 9.8985797181614e-01
+1.1899038461538e+02 9.8985804531202e-01
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/alp_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/alp_norm1.xg
new file mode 100644
index 000000000..31a8caafd
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/alp_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::alp
+"alp v time
+0.0000000000000e+00 9.9738961915708e-01
+7.9326923076923e+00 9.9265649379454e-01
+1.5865384615385e+01 9.9527397083132e-01
+2.3798076923077e+01 9.9265649730041e-01
+3.1730769230769e+01 9.9738962016471e-01
+3.9663461538462e+01 9.9265650415401e-01
+4.7596153846154e+01 9.9527397570074e-01
+5.5528846153846e+01 9.9265651485705e-01
+6.3461538461538e+01 9.9738962049134e-01
+7.1394230769231e+01 9.9265652931523e-01
+7.5360576923077e+01 9.9085000564128e-01
+7.9326923076923e+01 9.9527398664460e-01
+8.3293269230769e+01 9.9085001300602e-01
+8.7259615384615e+01 9.9265655029960e-01
+9.1225961538462e+01 9.9085002743496e-01
+9.5192307692308e+01 9.9738962115885e-01
+9.9158653846154e+01 9.9085004903207e-01
+1.0312500000000e+02 9.9265657991984e-01
+1.0709134615385e+02 9.9085007780300e-01
+1.1105769230769e+02 9.9527400715767e-01
+1.1502403846154e+02 9.9085011366045e-01
+1.1899038461538e+02 9.9265661835495e-01
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/alp_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/alp_norm2.xg
new file mode 100644
index 000000000..1111c4742
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/alp_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::alp
+"alp v time
+0.0000000000000e+00 9.9739057533017e-01
+7.9326923076923e+00 9.9265722006442e-01
+1.5865384615385e+01 9.9527526762520e-01
+2.3798076923077e+01 9.9265722357459e-01
+3.1730769230769e+01 9.9739057633618e-01
+3.9663461538462e+01 9.9265723043644e-01
+4.7596153846154e+01 9.9527527249633e-01
+5.5528846153846e+01 9.9265724115139e-01
+6.3461538461538e+01 9.9739057666005e-01
+7.1394230769231e+01 9.9265725562432e-01
+7.5360576923077e+01 9.9085014319522e-01
+7.9326923076923e+01 9.9527528344192e-01
+8.3293269230769e+01 9.9085015056144e-01
+8.7259615384615e+01 9.9265727661914e-01
+9.1225961538462e+01 9.9085016498874e-01
+9.5192307692308e+01 9.9739057732251e-01
+9.9158653846154e+01 9.9085018658113e-01
+1.0312500000000e+02 9.9265730624059e-01
+1.0709134615385e+02 9.9085021534451e-01
+1.1105769230769e+02 9.9527530393995e-01
+1.1502403846154e+02 9.9085025119173e-01
+1.1899038461538e+02 9.9265734466704e-01
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betax.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/betax.x.asc
new file mode 100644
index 000000000..9c5dcdd9b
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betax.x.asc
@@ -0,0 +1,864 @@
+# ADMBASE::betax x (betax)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 0
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+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 0
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 0
+0 0 0 0 0 232 24 24 0 2200 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 0
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+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 0
+0 0 1 0 0 128 24 24 0 1100 0 0 0
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+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
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+0 0 2 0 0 62 24 24 0 401.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 64 24 24 0 423.076923076923 7.105427357601e-15 7.105427357601e-15 0
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+0 0 2 0 0 70 24 24 0 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 72 24 24 0 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 74 24 24 0 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 76 24 24 0 550 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 78 24 24 0 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 80 24 24 0 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 12 24 24 15.8653846153846 -126.923076923077 0 0 0
+4 0 1 0 0 16 24 24 15.8653846153846 -84.6153846153846 0 0 0
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+4 0 1 0 0 36 24 24 15.8653846153846 126.923076923077 0 0 0
+4 0 1 0 0 40 24 24 15.8653846153846 169.230769230769 0 0 0
+4 0 1 0 0 44 24 24 15.8653846153846 211.538461538462 0 0 0
+4 0 1 0 0 48 24 24 15.8653846153846 253.846153846154 0 0 0
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+4 0 1 0 0 84 24 24 15.8653846153846 634.615384615385 0 0 0
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+4 0 1 0 0 92 24 24 15.8653846153846 719.230769230769 0 0 0
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+4 0 1 0 0 100 24 24 15.8653846153846 803.846153846154 0 0 0
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+4 0 1 0 0 108 24 24 15.8653846153846 888.461538461538 0 0 0
+4 0 1 0 0 112 24 24 15.8653846153846 930.769230769231 0 0 0
+4 0 1 0 0 116 24 24 15.8653846153846 973.076923076923 0 0 0
+4 0 1 0 0 120 24 24 15.8653846153846 1015.38461538462 0 0 0
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+4 0 1 0 0 128 24 24 15.8653846153846 1100 0 0 0
+4 0 1 0 0 132 24 24 15.8653846153846 1142.30769230769 0 0 0
+4 0 1 0 0 136 24 24 15.8653846153846 1184.61538461538 0 0 0
+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 18 24 24 15.8653846153846 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 20 24 24 15.8653846153846 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
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+4 0 2 0 0 26 24 24 15.8653846153846 21.1538461538462 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 28 24 24 15.8653846153846 42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 30 24 24 15.8653846153846 63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 32 24 24 15.8653846153846 84.6153846153846 7.105427357601e-15 7.105427357601e-15 0
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+4 0 2 0 0 46 24 24 15.8653846153846 232.692307692308 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 48 24 24 15.8653846153846 253.846153846154 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 50 24 24 15.8653846153846 275 7.105427357601e-15 7.105427357601e-15 0
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+4 0 2 0 0 54 24 24 15.8653846153846 317.307692307692 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 56 24 24 15.8653846153846 338.461538461538 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 58 24 24 15.8653846153846 359.615384615385 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 60 24 24 15.8653846153846 380.769230769231 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 62 24 24 15.8653846153846 401.923076923077 7.105427357601e-15 7.105427357601e-15 0
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+4 0 2 0 0 66 24 24 15.8653846153846 444.230769230769 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 68 24 24 15.8653846153846 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 70 24 24 15.8653846153846 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 72 24 24 15.8653846153846 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 74 24 24 15.8653846153846 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 76 24 24 15.8653846153846 550 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 78 24 24 15.8653846153846 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 80 24 24 15.8653846153846 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 82 24 24 15.8653846153846 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 0 24 24 31.7307692307692 -253.846153846154 0 0 0
+8 0 0 0 0 8 24 24 31.7307692307692 -169.230769230769 0 0 0
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+8 0 0 0 0 40 24 24 31.7307692307692 169.230769230769 0 0 0
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+8 0 0 0 0 56 24 24 31.7307692307692 338.461538461539 0 0 0
+8 0 0 0 0 64 24 24 31.7307692307692 423.076923076923 0 0 0
+8 0 0 0 0 72 24 24 31.7307692307692 507.692307692308 0 0 0
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+8 0 0 0 0 128 24 24 31.7307692307692 1100 0 0 0
+8 0 0 0 0 136 24 24 31.7307692307692 1184.61538461538 0 0 0
+8 0 0 0 0 144 24 24 31.7307692307692 1269.23076923077 0 0 0
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+8 0 0 0 0 176 24 24 31.7307692307692 1607.69230769231 0 0 0
+8 0 0 0 0 184 24 24 31.7307692307692 1692.30769230769 0 0 0
+8 0 0 0 0 192 24 24 31.7307692307692 1776.92307692308 0 0 0
+8 0 0 0 0 200 24 24 31.7307692307692 1861.53846153846 0 0 0
+8 0 0 0 0 208 24 24 31.7307692307692 1946.15384615385 0 0 0
+8 0 0 0 0 216 24 24 31.7307692307692 2030.76923076923 0 0 0
+8 0 0 0 0 224 24 24 31.7307692307692 2115.38461538462 0 0 0
+8 0 0 0 0 232 24 24 31.7307692307692 2200 0 0 0
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 12 24 24 31.7307692307692 -126.923076923077 0 0 0
+8 0 1 0 0 16 24 24 31.7307692307692 -84.6153846153846 0 0 0
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+8 0 1 0 0 32 24 24 31.7307692307692 84.6153846153846 0 0 0
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+8 0 1 0 0 48 24 24 31.7307692307692 253.846153846154 0 0 0
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+8 0 1 0 0 88 24 24 31.7307692307692 676.923076923077 0 0 0
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+8 0 1 0 0 108 24 24 31.7307692307692 888.461538461538 0 0 0
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+8 0 1 0 0 116 24 24 31.7307692307692 973.076923076923 0 0 0
+8 0 1 0 0 120 24 24 31.7307692307692 1015.38461538462 0 0 0
+8 0 1 0 0 124 24 24 31.7307692307692 1057.69230769231 0 0 0
+8 0 1 0 0 128 24 24 31.7307692307692 1100 0 0 0
+8 0 1 0 0 132 24 24 31.7307692307692 1142.30769230769 0 0 0
+8 0 1 0 0 136 24 24 31.7307692307692 1184.61538461538 0 0 0
+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 0
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 18 24 24 31.7307692307692 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 20 24 24 31.7307692307692 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
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+8 0 2 0 0 28 24 24 31.7307692307692 42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 30 24 24 31.7307692307692 63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
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+8 0 2 0 0 34 24 24 31.7307692307692 105.769230769231 7.105427357601e-15 7.105427357601e-15 0
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+8 0 2 0 0 40 24 24 31.7307692307692 169.230769230769 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 42 24 24 31.7307692307692 190.384615384615 7.105427357601e-15 7.105427357601e-15 0
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+8 0 2 0 0 62 24 24 31.7307692307692 401.923076923077 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 64 24 24 31.7307692307692 423.076923076923 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 66 24 24 31.7307692307692 444.230769230769 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 68 24 24 31.7307692307692 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 70 24 24 31.7307692307692 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 72 24 24 31.7307692307692 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 74 24 24 31.7307692307692 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 76 24 24 31.7307692307692 550 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 78 24 24 31.7307692307692 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 80 24 24 31.7307692307692 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 82 24 24 31.7307692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 12 24 24 47.5961538461538 -126.923076923077 0 0 0
+12 0 1 0 0 16 24 24 47.5961538461538 -84.6153846153846 0 0 0
+12 0 1 0 0 20 24 24 47.5961538461538 -42.3076923076923 0 0 0
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+12 0 1 0 0 32 24 24 47.5961538461538 84.6153846153846 0 0 0
+12 0 1 0 0 36 24 24 47.5961538461538 126.923076923077 0 0 0
+12 0 1 0 0 40 24 24 47.5961538461538 169.230769230769 0 0 0
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+12 0 1 0 0 48 24 24 47.5961538461538 253.846153846154 0 0 0
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+12 0 1 0 0 108 24 24 47.5961538461538 888.461538461538 0 0 0
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+12 0 1 0 0 120 24 24 47.5961538461538 1015.38461538462 0 0 0
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+12 0 1 0 0 128 24 24 47.5961538461538 1100 0 0 0
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+12 0 1 0 0 136 24 24 47.5961538461538 1184.61538461538 0 0 0
+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 0
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 18 24 24 47.5961538461538 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 20 24 24 47.5961538461538 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 22 24 24 47.5961538461538 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 0
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+12 0 2 0 0 26 24 24 47.5961538461538 21.1538461538462 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 28 24 24 47.5961538461538 42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 30 24 24 47.5961538461538 63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 32 24 24 47.5961538461538 84.6153846153846 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 34 24 24 47.5961538461538 105.769230769231 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 36 24 24 47.5961538461538 126.923076923077 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 38 24 24 47.5961538461538 148.076923076923 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 40 24 24 47.5961538461538 169.230769230769 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 42 24 24 47.5961538461538 190.384615384615 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 44 24 24 47.5961538461538 211.538461538462 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 46 24 24 47.5961538461538 232.692307692308 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 48 24 24 47.5961538461538 253.846153846154 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 50 24 24 47.5961538461538 275 7.105427357601e-15 7.105427357601e-15 0
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+12 0 2 0 0 56 24 24 47.5961538461538 338.461538461538 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 58 24 24 47.5961538461538 359.615384615385 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 60 24 24 47.5961538461538 380.769230769231 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 62 24 24 47.5961538461538 401.923076923077 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 64 24 24 47.5961538461538 423.076923076923 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 66 24 24 47.5961538461538 444.230769230769 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 68 24 24 47.5961538461538 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 70 24 24 47.5961538461538 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 72 24 24 47.5961538461538 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 74 24 24 47.5961538461538 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 76 24 24 47.5961538461538 550 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 80 24 24 47.5961538461538 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 82 24 24 47.5961538461538 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 0 24 24 63.4615384615385 -253.846153846154 0 0 0
+16 0 0 0 0 8 24 24 63.4615384615385 -169.230769230769 0 0 0
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+16 0 0 0 0 24 24 24 63.4615384615385 0 0 0 0
+16 0 0 0 0 32 24 24 63.4615384615385 84.6153846153846 0 0 0
+16 0 0 0 0 40 24 24 63.4615384615385 169.230769230769 0 0 0
+16 0 0 0 0 48 24 24 63.4615384615385 253.846153846154 0 0 0
+16 0 0 0 0 56 24 24 63.4615384615385 338.461538461539 0 0 0
+16 0 0 0 0 64 24 24 63.4615384615385 423.076923076923 0 0 0
+16 0 0 0 0 72 24 24 63.4615384615385 507.692307692308 0 0 0
+16 0 0 0 0 80 24 24 63.4615384615385 592.307692307692 0 0 0
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+16 0 0 0 0 160 24 24 63.4615384615385 1438.46153846154 0 0 0
+16 0 0 0 0 168 24 24 63.4615384615385 1523.07692307692 0 0 0
+16 0 0 0 0 176 24 24 63.4615384615385 1607.69230769231 0 0 0
+16 0 0 0 0 184 24 24 63.4615384615385 1692.30769230769 0 0 0
+16 0 0 0 0 192 24 24 63.4615384615385 1776.92307692308 0 0 0
+16 0 0 0 0 200 24 24 63.4615384615385 1861.53846153846 0 0 0
+16 0 0 0 0 208 24 24 63.4615384615385 1946.15384615385 0 0 0
+16 0 0 0 0 216 24 24 63.4615384615385 2030.76923076923 0 0 0
+16 0 0 0 0 224 24 24 63.4615384615385 2115.38461538462 0 0 0
+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 12 24 24 63.4615384615385 -126.923076923077 0 0 0
+16 0 1 0 0 16 24 24 63.4615384615385 -84.6153846153846 0 0 0
+16 0 1 0 0 20 24 24 63.4615384615385 -42.3076923076923 0 0 0
+16 0 1 0 0 24 24 24 63.4615384615385 0 0 0 0
+16 0 1 0 0 28 24 24 63.4615384615385 42.3076923076923 0 0 0
+16 0 1 0 0 32 24 24 63.4615384615385 84.6153846153846 0 0 0
+16 0 1 0 0 36 24 24 63.4615384615385 126.923076923077 0 0 0
+16 0 1 0 0 40 24 24 63.4615384615385 169.230769230769 0 0 0
+16 0 1 0 0 44 24 24 63.4615384615385 211.538461538462 0 0 0
+16 0 1 0 0 48 24 24 63.4615384615385 253.846153846154 0 0 0
+16 0 1 0 0 52 24 24 63.4615384615385 296.153846153846 0 0 0
+16 0 1 0 0 56 24 24 63.4615384615385 338.461538461538 0 0 0
+16 0 1 0 0 60 24 24 63.4615384615385 380.769230769231 0 0 0
+16 0 1 0 0 64 24 24 63.4615384615385 423.076923076923 0 0 0
+16 0 1 0 0 68 24 24 63.4615384615385 465.384615384615 0 0 0
+16 0 1 0 0 72 24 24 63.4615384615385 507.692307692308 0 0 0
+16 0 1 0 0 76 24 24 63.4615384615385 550 0 0 0
+16 0 1 0 0 80 24 24 63.4615384615385 592.307692307692 0 0 0
+16 0 1 0 0 84 24 24 63.4615384615385 634.615384615385 0 0 0
+16 0 1 0 0 88 24 24 63.4615384615385 676.923076923077 0 0 0
+16 0 1 0 0 92 24 24 63.4615384615385 719.230769230769 0 0 0
+16 0 1 0 0 96 24 24 63.4615384615385 761.538461538462 0 0 0
+16 0 1 0 0 100 24 24 63.4615384615385 803.846153846154 0 0 0
+16 0 1 0 0 104 24 24 63.4615384615385 846.153846153846 0 0 0
+16 0 1 0 0 108 24 24 63.4615384615385 888.461538461538 0 0 0
+16 0 1 0 0 112 24 24 63.4615384615385 930.769230769231 0 0 0
+16 0 1 0 0 116 24 24 63.4615384615385 973.076923076923 0 0 0
+16 0 1 0 0 120 24 24 63.4615384615385 1015.38461538462 0 0 0
+16 0 1 0 0 124 24 24 63.4615384615385 1057.69230769231 0 0 0
+16 0 1 0 0 128 24 24 63.4615384615385 1100 0 0 0
+16 0 1 0 0 132 24 24 63.4615384615385 1142.30769230769 0 0 0
+16 0 1 0 0 136 24 24 63.4615384615385 1184.61538461538 0 0 0
+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 0
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 18 24 24 63.4615384615385 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+16 0 2 0 0 20 24 24 63.4615384615385 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+16 0 2 0 0 22 24 24 63.4615384615385 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 0
+16 0 2 0 0 24 24 24 63.4615384615385 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
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+16 0 2 0 0 82 24 24 63.4615384615385 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 2 0 0 74 24 24 79.3269230769231 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+20 0 2 0 0 76 24 24 79.3269230769231 550 7.105427357601e-15 7.105427357601e-15 0
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+20 0 2 0 0 82 24 24 79.3269230769231 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 3 0 0 50 24 24 79.3269230769231 275 7.105427357601e-15 7.105427357601e-15 0
+20 0 3 0 0 51 24 24 79.3269230769231 285.576923076923 7.105427357601e-15 7.105427357601e-15 0
+20 0 3 0 0 52 24 24 79.3269230769231 296.153846153846 7.105427357601e-15 7.105427357601e-15 0
+20 0 3 0 0 53 24 24 79.3269230769231 306.730769230769 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 0 0 0 0 24 24 95.1923076923077 -253.846153846154 0 0 0
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 1 0 0 12 24 24 95.1923076923077 -126.923076923077 0 0 0
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 2 0 0 18 24 24 95.1923076923077 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
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+24 0 2 0 0 76 24 24 95.1923076923077 550 7.105427357601e-15 7.105427357601e-15 0
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+24 0 2 0 0 82 24 24 95.1923076923077 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 49 24 24 95.1923076923077 264.423076923077 7.105427357601e-15 7.105427357601e-15 0
+24 0 3 0 0 50 24 24 95.1923076923077 275 7.105427357601e-15 7.105427357601e-15 0
+24 0 3 0 0 51 24 24 95.1923076923077 285.576923076923 7.105427357601e-15 7.105427357601e-15 0
+24 0 3 0 0 52 24 24 95.1923076923077 296.153846153846 7.105427357601e-15 7.105427357601e-15 0
+24 0 3 0 0 53 24 24 95.1923076923077 306.730769230769 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 1 0 0 12 24 24 111.057692307692 -126.923076923077 0 0 0
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 74 24 24 111.057692307692 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+28 0 2 0 0 76 24 24 111.057692307692 550 7.105427357601e-15 7.105427357601e-15 0
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+28 0 2 0 0 82 24 24 111.057692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 21 24 24 111.057692307692 -31.7307692307692 7.105427357601e-15 7.105427357601e-15 0
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+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 0
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 0
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betax.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/betax.y.asc
new file mode 100644
index 000000000..4e0e69c6b
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betax.y.asc
@@ -0,0 +1,864 @@
+# ADMBASE::betax y (betax)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 -0
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 -0
+0 0 0 0 0 24 16 24 0 0 -84.6153846153846 0 -0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 24 32 24 0 0 84.6153846153846 0 0
+0 0 0 0 0 24 40 24 0 0 169.230769230769 0 0
+0 0 0 0 0 24 48 24 0 0 253.846153846154 0 0
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+0 0 0 0 0 24 64 24 0 0 423.076923076923 0 0
+0 0 0 0 0 24 72 24 0 0 507.692307692308 0 0
+0 0 0 0 0 24 80 24 0 0 592.307692307692 0 0
+0 0 0 0 0 24 88 24 0 0 676.923076923077 0 0
+0 0 0 0 0 24 96 24 0 0 761.538461538462 0 0
+0 0 0 0 0 24 104 24 0 0 846.153846153846 0 0
+0 0 0 0 0 24 112 24 0 0 930.769230769231 0 0
+0 0 0 0 0 24 120 24 0 0 1015.38461538462 0 0
+0 0 0 0 0 24 128 24 0 0 1100 0 0
+0 0 0 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 0 0 0 24 144 24 0 0 1269.23076923077 0 0
+0 0 0 0 0 24 152 24 0 0 1353.84615384615 0 0
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+0 0 0 0 0 24 176 24 0 0 1607.69230769231 0 0
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+0 0 0 0 0 24 192 24 0 0 1776.92307692308 0 0
+0 0 0 0 0 24 200 24 0 0 1861.53846153846 0 0
+0 0 0 0 0 24 208 24 0 0 1946.15384615385 0 0
+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 0
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 0
+0 0 0 0 0 24 232 24 0 0 2200 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 -0
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+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 18 24 0 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 -0
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+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 -0
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 18 24 15.8653846153846 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 -0
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+4 0 2 0 0 24 72 24 15.8653846153846 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
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+4 0 2 0 0 24 82 24 15.8653846153846 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 0 24 31.7307692307692 0 -253.846153846154 0 -0
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 12 24 31.7307692307692 0 -126.923076923077 0 -0
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 18 24 31.7307692307692 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 -0
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+8 0 2 0 0 24 74 24 31.7307692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+8 0 2 0 0 24 76 24 31.7307692307692 7.105427357601e-15 550 7.105427357601e-15 0
+8 0 2 0 0 24 78 24 31.7307692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+8 0 2 0 0 24 80 24 31.7307692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+8 0 2 0 0 24 82 24 31.7307692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 12 24 47.5961538461538 0 -126.923076923077 0 -0
+12 0 1 0 0 24 16 24 47.5961538461538 0 -84.6153846153846 0 -0
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+12 0 1 0 0 24 128 24 47.5961538461538 0 1100 0 0
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 0
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 18 24 47.5961538461538 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 -0
+12 0 2 0 0 24 20 24 47.5961538461538 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 -0
+12 0 2 0 0 24 22 24 47.5961538461538 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 -0
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+12 0 2 0 0 24 30 24 47.5961538461538 7.105427357601e-15 63.4615384615385 7.105427357601e-15 0
+12 0 2 0 0 24 32 24 47.5961538461538 7.105427357601e-15 84.6153846153846 7.105427357601e-15 0
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+12 0 2 0 0 24 42 24 47.5961538461538 7.105427357601e-15 190.384615384615 7.105427357601e-15 0
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+12 0 2 0 0 24 46 24 47.5961538461538 7.105427357601e-15 232.692307692308 7.105427357601e-15 0
+12 0 2 0 0 24 48 24 47.5961538461538 7.105427357601e-15 253.846153846154 7.105427357601e-15 0
+12 0 2 0 0 24 50 24 47.5961538461538 7.105427357601e-15 275 7.105427357601e-15 0
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+12 0 2 0 0 24 54 24 47.5961538461538 7.105427357601e-15 317.307692307692 7.105427357601e-15 0
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+12 0 2 0 0 24 58 24 47.5961538461538 7.105427357601e-15 359.615384615385 7.105427357601e-15 0
+12 0 2 0 0 24 60 24 47.5961538461538 7.105427357601e-15 380.769230769231 7.105427357601e-15 0
+12 0 2 0 0 24 62 24 47.5961538461538 7.105427357601e-15 401.923076923077 7.105427357601e-15 0
+12 0 2 0 0 24 64 24 47.5961538461538 7.105427357601e-15 423.076923076923 7.105427357601e-15 0
+12 0 2 0 0 24 66 24 47.5961538461538 7.105427357601e-15 444.230769230769 7.105427357601e-15 0
+12 0 2 0 0 24 68 24 47.5961538461538 7.105427357601e-15 465.384615384615 7.105427357601e-15 0
+12 0 2 0 0 24 70 24 47.5961538461538 7.105427357601e-15 486.538461538462 7.105427357601e-15 0
+12 0 2 0 0 24 72 24 47.5961538461538 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+12 0 2 0 0 24 74 24 47.5961538461538 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+12 0 2 0 0 24 76 24 47.5961538461538 7.105427357601e-15 550 7.105427357601e-15 0
+12 0 2 0 0 24 78 24 47.5961538461538 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+12 0 2 0 0 24 80 24 47.5961538461538 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+12 0 2 0 0 24 82 24 47.5961538461538 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 24 0 24 63.4615384615385 0 -253.846153846154 0 -0
+16 0 0 0 0 24 8 24 63.4615384615385 0 -169.230769230769 0 -0
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+16 0 0 0 0 24 200 24 63.4615384615385 0 1861.53846153846 0 0
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+16 0 0 0 0 24 224 24 63.4615384615385 0 2115.38461538462 0 0
+16 0 0 0 0 24 232 24 63.4615384615385 0 2200 0 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 12 24 63.4615384615385 0 -126.923076923077 0 -0
+16 0 1 0 0 24 16 24 63.4615384615385 0 -84.6153846153846 0 -0
+16 0 1 0 0 24 20 24 63.4615384615385 0 -42.3076923076923 0 -0
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+16 0 1 0 0 24 116 24 63.4615384615385 0 973.076923076923 0 0
+16 0 1 0 0 24 120 24 63.4615384615385 0 1015.38461538462 0 0
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+16 0 1 0 0 24 128 24 63.4615384615385 0 1100 0 0
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 0
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 18 24 63.4615384615385 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 -0
+16 0 2 0 0 24 20 24 63.4615384615385 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 -0
+16 0 2 0 0 24 22 24 63.4615384615385 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 -0
+16 0 2 0 0 24 24 24 63.4615384615385 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
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+16 0 2 0 0 24 28 24 63.4615384615385 7.105427357601e-15 42.3076923076923 7.105427357601e-15 0
+16 0 2 0 0 24 30 24 63.4615384615385 7.105427357601e-15 63.4615384615385 7.105427357601e-15 0
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+16 0 2 0 0 24 44 24 63.4615384615385 7.105427357601e-15 211.538461538462 7.105427357601e-15 0
+16 0 2 0 0 24 46 24 63.4615384615385 7.105427357601e-15 232.692307692308 7.105427357601e-15 0
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+16 0 2 0 0 24 64 24 63.4615384615385 7.105427357601e-15 423.076923076923 7.105427357601e-15 0
+16 0 2 0 0 24 66 24 63.4615384615385 7.105427357601e-15 444.230769230769 7.105427357601e-15 0
+16 0 2 0 0 24 68 24 63.4615384615385 7.105427357601e-15 465.384615384615 7.105427357601e-15 0
+16 0 2 0 0 24 70 24 63.4615384615385 7.105427357601e-15 486.538461538462 7.105427357601e-15 0
+16 0 2 0 0 24 72 24 63.4615384615385 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+16 0 2 0 0 24 74 24 63.4615384615385 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+16 0 2 0 0 24 76 24 63.4615384615385 7.105427357601e-15 550 7.105427357601e-15 0
+16 0 2 0 0 24 78 24 63.4615384615385 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+16 0 2 0 0 24 80 24 63.4615384615385 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+16 0 2 0 0 24 82 24 63.4615384615385 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 24 12 24 79.3269230769231 0 -126.923076923077 0 -0
+20 0 1 0 0 24 16 24 79.3269230769231 0 -84.6153846153846 0 -0
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+20 0 1 0 0 24 116 24 79.3269230769231 0 973.076923076923 0 0
+20 0 1 0 0 24 120 24 79.3269230769231 0 1015.38461538462 0 0
+20 0 1 0 0 24 124 24 79.3269230769231 0 1057.69230769231 0 0
+20 0 1 0 0 24 128 24 79.3269230769231 0 1100 0 0
+20 0 1 0 0 24 132 24 79.3269230769231 0 1142.30769230769 0 0
+20 0 1 0 0 24 136 24 79.3269230769231 0 1184.61538461538 0 0
+20 0 1 0 0 24 140 24 79.3269230769231 0 1226.92307692308 0 0
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 24 18 24 79.3269230769231 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 -0
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 2 0 0 24 82 24 95.1923076923077 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 24 50 24 95.1923076923077 7.105427357601e-15 275 7.105427357601e-15 0
+24 0 3 0 0 24 51 24 95.1923076923077 7.105427357601e-15 285.576923076923 7.105427357601e-15 0
+24 0 3 0 0 24 52 24 95.1923076923077 7.105427357601e-15 296.153846153846 7.105427357601e-15 0
+24 0 3 0 0 24 53 24 95.1923076923077 7.105427357601e-15 306.730769230769 7.105427357601e-15 0
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 1 0 0 24 12 24 111.057692307692 0 -126.923076923077 0 -0
+28 0 1 0 0 24 16 24 111.057692307692 0 -84.6153846153846 0 -0
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+28 0 1 0 0 24 140 24 111.057692307692 0 1226.92307692308 0 0
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 74 24 111.057692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+28 0 2 0 0 24 76 24 111.057692307692 7.105427357601e-15 550 7.105427357601e-15 0
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+28 0 2 0 0 24 82 24 111.057692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 0
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 0
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 0
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betax.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/betax.z.asc
new file mode 100644
index 000000000..a5755c692
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betax.z.asc
@@ -0,0 +1,864 @@
+# ADMBASE::betax z (betax)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 0
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 0
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 0 0 0 24 24 48 0 0 0 253.846153846154 0
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+0 0 0 0 0 24 24 112 0 0 0 930.769230769231 0
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+0 0 0 0 0 24 24 128 0 0 0 1100 0
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+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 0
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+0 0 0 0 0 24 24 184 0 0 0 1692.30769230769 0
+0 0 0 0 0 24 24 192 0 0 0 1776.92307692308 0
+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 0
+0 0 0 0 0 24 24 208 0 0 0 1946.15384615385 0
+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 0
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 0
+0 0 0 0 0 24 24 232 0 0 0 2200 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 0
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
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+0 0 1 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 1 0 0 24 24 36 0 0 0 126.923076923077 0
+0 0 1 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 1 0 0 24 24 44 0 0 0 211.538461538462 0
+0 0 1 0 0 24 24 48 0 0 0 253.846153846154 0
+0 0 1 0 0 24 24 52 0 0 0 296.153846153846 0
+0 0 1 0 0 24 24 56 0 0 0 338.461538461538 0
+0 0 1 0 0 24 24 60 0 0 0 380.769230769231 0
+0 0 1 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 1 0 0 24 24 68 0 0 0 465.384615384615 0
+0 0 1 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 1 0 0 24 24 76 0 0 0 550 0
+0 0 1 0 0 24 24 80 0 0 0 592.307692307692 0
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+0 0 1 0 0 24 24 92 0 0 0 719.230769230769 0
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+0 0 1 0 0 24 24 108 0 0 0 888.461538461538 0
+0 0 1 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 1 0 0 24 24 116 0 0 0 973.076923076923 0
+0 0 1 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 1 0 0 24 24 124 0 0 0 1057.69230769231 0
+0 0 1 0 0 24 24 128 0 0 0 1100 0
+0 0 1 0 0 24 24 132 0 0 0 1142.30769230769 0
+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
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+0 0 2 0 0 24 24 32 0 7.105427357601e-15 7.105427357601e-15 84.6153846153846 0
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+0 0 2 0 0 24 24 58 0 7.105427357601e-15 7.105427357601e-15 359.615384615385 0
+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 0
+0 0 2 0 0 24 24 62 0 7.105427357601e-15 7.105427357601e-15 401.923076923077 0
+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 0
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 0
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 0
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 0
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 0
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 0
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 0
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 0
+4 0 1 0 0 24 24 20 15.8653846153846 0 0 -42.3076923076923 0
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 0
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+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 2 0 0 24 24 82 15.8653846153846 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 24 0 31.7307692307692 0 0 -253.846153846154 0
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+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 0
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 24 12 31.7307692307692 0 0 -126.923076923077 0
+8 0 1 0 0 24 24 16 31.7307692307692 0 0 -84.6153846153846 0
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 24 18 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
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+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 0
+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
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+8 0 2 0 0 24 24 82 31.7307692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 24 12 47.5961538461538 0 0 -126.923076923077 0
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+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 0
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 24 18 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
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+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 0
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 24 24 0 63.4615384615385 0 0 -253.846153846154 0
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+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 0
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+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 0
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 0
+16 0 1 0 0 24 24 16 63.4615384615385 0 0 -84.6153846153846 0
+16 0 1 0 0 24 24 20 63.4615384615385 0 0 -42.3076923076923 0
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+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 0
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+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 0
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 24 18 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
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+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 0
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 24 24 12 79.3269230769231 0 0 -126.923076923077 0
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+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 0
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 24 24 18 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
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+20 0 2 0 0 24 24 74 79.3269230769231 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+20 0 2 0 0 24 24 76 79.3269230769231 7.105427357601e-15 7.105427357601e-15 550 0
+20 0 2 0 0 24 24 78 79.3269230769231 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+20 0 2 0 0 24 24 80 79.3269230769231 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+20 0 2 0 0 24 24 82 79.3269230769231 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 3 0 0 24 24 21 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -31.7307692307692 0
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+20 0 3 0 0 24 24 53 79.3269230769231 7.105427357601e-15 7.105427357601e-15 306.730769230769 0
+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 24 76 111.057692307692 7.105427357601e-15 7.105427357601e-15 550 0
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+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 24 24 21 111.057692307692 7.105427357601e-15 7.105427357601e-15 -31.7307692307692 0
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+28 0 3 0 0 24 24 49 111.057692307692 7.105427357601e-15 7.105427357601e-15 264.423076923077 0
+28 0 3 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 0
+28 0 3 0 0 24 24 51 111.057692307692 7.105427357601e-15 7.105427357601e-15 285.576923076923 0
+28 0 3 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 0
+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betax_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/betax_maximum.xg
new file mode 100644
index 000000000..d8fa90f80
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betax_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::betax
+"betax v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 -0.0000000000000e+00
+1.5865384615385e+01 -0.0000000000000e+00
+2.3798076923077e+01 -0.0000000000000e+00
+3.1730769230769e+01 -0.0000000000000e+00
+3.9663461538462e+01 -0.0000000000000e+00
+4.7596153846154e+01 -0.0000000000000e+00
+5.5528846153846e+01 -0.0000000000000e+00
+6.3461538461538e+01 -0.0000000000000e+00
+7.1394230769231e+01 -0.0000000000000e+00
+7.5360576923077e+01 0.0000000000000e+00
+7.9326923076923e+01 -0.0000000000000e+00
+8.3293269230769e+01 0.0000000000000e+00
+8.7259615384615e+01 -0.0000000000000e+00
+9.1225961538462e+01 0.0000000000000e+00
+9.5192307692308e+01 -0.0000000000000e+00
+9.9158653846154e+01 0.0000000000000e+00
+1.0312500000000e+02 -0.0000000000000e+00
+1.0709134615385e+02 0.0000000000000e+00
+1.1105769230769e+02 -0.0000000000000e+00
+1.1502403846154e+02 0.0000000000000e+00
+1.1899038461538e+02 -0.0000000000000e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betax_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/betax_minimum.xg
new file mode 100644
index 000000000..d8fa90f80
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betax_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::betax
+"betax v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 -0.0000000000000e+00
+1.5865384615385e+01 -0.0000000000000e+00
+2.3798076923077e+01 -0.0000000000000e+00
+3.1730769230769e+01 -0.0000000000000e+00
+3.9663461538462e+01 -0.0000000000000e+00
+4.7596153846154e+01 -0.0000000000000e+00
+5.5528846153846e+01 -0.0000000000000e+00
+6.3461538461538e+01 -0.0000000000000e+00
+7.1394230769231e+01 -0.0000000000000e+00
+7.5360576923077e+01 0.0000000000000e+00
+7.9326923076923e+01 -0.0000000000000e+00
+8.3293269230769e+01 0.0000000000000e+00
+8.7259615384615e+01 -0.0000000000000e+00
+9.1225961538462e+01 0.0000000000000e+00
+9.5192307692308e+01 -0.0000000000000e+00
+9.9158653846154e+01 0.0000000000000e+00
+1.0312500000000e+02 -0.0000000000000e+00
+1.0709134615385e+02 0.0000000000000e+00
+1.1105769230769e+02 -0.0000000000000e+00
+1.1502403846154e+02 0.0000000000000e+00
+1.1899038461538e+02 -0.0000000000000e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betax_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/betax_norm1.xg
new file mode 100644
index 000000000..3436eb7b8
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betax_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::betax
+"betax v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 0.0000000000000e+00
+1.5865384615385e+01 0.0000000000000e+00
+2.3798076923077e+01 0.0000000000000e+00
+3.1730769230769e+01 0.0000000000000e+00
+3.9663461538462e+01 0.0000000000000e+00
+4.7596153846154e+01 0.0000000000000e+00
+5.5528846153846e+01 0.0000000000000e+00
+6.3461538461538e+01 0.0000000000000e+00
+7.1394230769231e+01 0.0000000000000e+00
+7.5360576923077e+01 0.0000000000000e+00
+7.9326923076923e+01 0.0000000000000e+00
+8.3293269230769e+01 0.0000000000000e+00
+8.7259615384615e+01 0.0000000000000e+00
+9.1225961538462e+01 0.0000000000000e+00
+9.5192307692308e+01 0.0000000000000e+00
+9.9158653846154e+01 0.0000000000000e+00
+1.0312500000000e+02 0.0000000000000e+00
+1.0709134615385e+02 0.0000000000000e+00
+1.1105769230769e+02 0.0000000000000e+00
+1.1502403846154e+02 0.0000000000000e+00
+1.1899038461538e+02 0.0000000000000e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betax_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/betax_norm2.xg
new file mode 100644
index 000000000..3436eb7b8
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betax_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::betax
+"betax v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 0.0000000000000e+00
+1.5865384615385e+01 0.0000000000000e+00
+2.3798076923077e+01 0.0000000000000e+00
+3.1730769230769e+01 0.0000000000000e+00
+3.9663461538462e+01 0.0000000000000e+00
+4.7596153846154e+01 0.0000000000000e+00
+5.5528846153846e+01 0.0000000000000e+00
+6.3461538461538e+01 0.0000000000000e+00
+7.1394230769231e+01 0.0000000000000e+00
+7.5360576923077e+01 0.0000000000000e+00
+7.9326923076923e+01 0.0000000000000e+00
+8.3293269230769e+01 0.0000000000000e+00
+8.7259615384615e+01 0.0000000000000e+00
+9.1225961538462e+01 0.0000000000000e+00
+9.5192307692308e+01 0.0000000000000e+00
+9.9158653846154e+01 0.0000000000000e+00
+1.0312500000000e+02 0.0000000000000e+00
+1.0709134615385e+02 0.0000000000000e+00
+1.1105769230769e+02 0.0000000000000e+00
+1.1502403846154e+02 0.0000000000000e+00
+1.1899038461538e+02 0.0000000000000e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betay.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/betay.x.asc
new file mode 100644
index 000000000..482d01dbf
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betay.x.asc
@@ -0,0 +1,864 @@
+# ADMBASE::betay x (betay)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 -0
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 -0
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 -0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 0
+0 0 0 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 0 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 0
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+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 0 0 0 128 24 24 0 1100 0 0 0
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 0
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 0
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 0
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 0
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 0
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 0
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 0
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 0
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 0
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 0
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 0
+0 0 0 0 0 232 24 24 0 2200 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 -0
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 -0
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 -0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 0
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 0
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 0
+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 1 0 0 52 24 24 0 296.153846153846 0 0 0
+0 0 1 0 0 56 24 24 0 338.461538461538 0 0 0
+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 0
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 0
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 1 0 0 76 24 24 0 550 0 0 0
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 1 0 0 84 24 24 0 634.615384615385 0 0 0
+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 1 0 0 92 24 24 0 719.230769230769 0 0 0
+0 0 1 0 0 96 24 24 0 761.538461538462 0 0 0
+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 0
+0 0 1 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 0
+0 0 1 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 0
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 0
+0 0 1 0 0 128 24 24 0 1100 0 0 0
+0 0 1 0 0 132 24 24 0 1142.30769230769 0 0 0
+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -0
+0 0 2 0 0 20 24 24 0 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 -0
+0 0 2 0 0 22 24 24 0 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 -0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 26 24 24 0 21.1538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 28 24 24 0 42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 30 24 24 0 63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 32 24 24 0 84.6153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 34 24 24 0 105.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 36 24 24 0 126.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 38 24 24 0 148.076923076923 7.105427357601e-15 7.105427357601e-15 0
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+0 0 2 0 0 44 24 24 0 211.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 46 24 24 0 232.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 48 24 24 0 253.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 50 24 24 0 275 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 52 24 24 0 296.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 54 24 24 0 317.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 56 24 24 0 338.461538461538 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 58 24 24 0 359.615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 60 24 24 0 380.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 62 24 24 0 401.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 64 24 24 0 423.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 66 24 24 0 444.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 68 24 24 0 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 70 24 24 0 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 72 24 24 0 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 74 24 24 0 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 76 24 24 0 550 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 78 24 24 0 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 80 24 24 0 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 12 24 24 15.8653846153846 -126.923076923077 0 0 -0
+4 0 1 0 0 16 24 24 15.8653846153846 -84.6153846153846 0 0 -0
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+4 0 1 0 0 56 24 24 15.8653846153846 338.461538461538 0 0 0
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+4 0 1 0 0 108 24 24 15.8653846153846 888.461538461538 0 0 0
+4 0 1 0 0 112 24 24 15.8653846153846 930.769230769231 0 0 0
+4 0 1 0 0 116 24 24 15.8653846153846 973.076923076923 0 0 0
+4 0 1 0 0 120 24 24 15.8653846153846 1015.38461538462 0 0 0
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+4 0 1 0 0 128 24 24 15.8653846153846 1100 0 0 0
+4 0 1 0 0 132 24 24 15.8653846153846 1142.30769230769 0 0 0
+4 0 1 0 0 136 24 24 15.8653846153846 1184.61538461538 0 0 0
+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 18 24 24 15.8653846153846 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -0
+4 0 2 0 0 20 24 24 15.8653846153846 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 -0
+4 0 2 0 0 22 24 24 15.8653846153846 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 -0
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+4 0 2 0 0 36 24 24 15.8653846153846 126.923076923077 7.105427357601e-15 7.105427357601e-15 0
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+4 0 2 0 0 46 24 24 15.8653846153846 232.692307692308 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 48 24 24 15.8653846153846 253.846153846154 7.105427357601e-15 7.105427357601e-15 0
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+4 0 2 0 0 62 24 24 15.8653846153846 401.923076923077 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 64 24 24 15.8653846153846 423.076923076923 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 66 24 24 15.8653846153846 444.230769230769 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 68 24 24 15.8653846153846 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 70 24 24 15.8653846153846 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 72 24 24 15.8653846153846 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 74 24 24 15.8653846153846 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 76 24 24 15.8653846153846 550 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 78 24 24 15.8653846153846 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 80 24 24 15.8653846153846 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 82 24 24 15.8653846153846 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 0 24 24 31.7307692307692 -253.846153846154 0 0 -0
+8 0 0 0 0 8 24 24 31.7307692307692 -169.230769230769 0 0 -0
+8 0 0 0 0 16 24 24 31.7307692307692 -84.6153846153846 0 0 -0
+8 0 0 0 0 24 24 24 31.7307692307692 0 0 0 0
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+8 0 0 0 0 40 24 24 31.7307692307692 169.230769230769 0 0 0
+8 0 0 0 0 48 24 24 31.7307692307692 253.846153846154 0 0 0
+8 0 0 0 0 56 24 24 31.7307692307692 338.461538461539 0 0 0
+8 0 0 0 0 64 24 24 31.7307692307692 423.076923076923 0 0 0
+8 0 0 0 0 72 24 24 31.7307692307692 507.692307692308 0 0 0
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+8 0 0 0 0 128 24 24 31.7307692307692 1100 0 0 0
+8 0 0 0 0 136 24 24 31.7307692307692 1184.61538461538 0 0 0
+8 0 0 0 0 144 24 24 31.7307692307692 1269.23076923077 0 0 0
+8 0 0 0 0 152 24 24 31.7307692307692 1353.84615384615 0 0 0
+8 0 0 0 0 160 24 24 31.7307692307692 1438.46153846154 0 0 0
+8 0 0 0 0 168 24 24 31.7307692307692 1523.07692307692 0 0 0
+8 0 0 0 0 176 24 24 31.7307692307692 1607.69230769231 0 0 0
+8 0 0 0 0 184 24 24 31.7307692307692 1692.30769230769 0 0 0
+8 0 0 0 0 192 24 24 31.7307692307692 1776.92307692308 0 0 0
+8 0 0 0 0 200 24 24 31.7307692307692 1861.53846153846 0 0 0
+8 0 0 0 0 208 24 24 31.7307692307692 1946.15384615385 0 0 0
+8 0 0 0 0 216 24 24 31.7307692307692 2030.76923076923 0 0 0
+8 0 0 0 0 224 24 24 31.7307692307692 2115.38461538462 0 0 0
+8 0 0 0 0 232 24 24 31.7307692307692 2200 0 0 0
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 12 24 24 31.7307692307692 -126.923076923077 0 0 -0
+8 0 1 0 0 16 24 24 31.7307692307692 -84.6153846153846 0 0 -0
+8 0 1 0 0 20 24 24 31.7307692307692 -42.3076923076923 0 0 -0
+8 0 1 0 0 24 24 24 31.7307692307692 0 0 0 0
+8 0 1 0 0 28 24 24 31.7307692307692 42.3076923076923 0 0 0
+8 0 1 0 0 32 24 24 31.7307692307692 84.6153846153846 0 0 0
+8 0 1 0 0 36 24 24 31.7307692307692 126.923076923077 0 0 0
+8 0 1 0 0 40 24 24 31.7307692307692 169.230769230769 0 0 0
+8 0 1 0 0 44 24 24 31.7307692307692 211.538461538462 0 0 0
+8 0 1 0 0 48 24 24 31.7307692307692 253.846153846154 0 0 0
+8 0 1 0 0 52 24 24 31.7307692307692 296.153846153846 0 0 0
+8 0 1 0 0 56 24 24 31.7307692307692 338.461538461538 0 0 0
+8 0 1 0 0 60 24 24 31.7307692307692 380.769230769231 0 0 0
+8 0 1 0 0 64 24 24 31.7307692307692 423.076923076923 0 0 0
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+8 0 1 0 0 76 24 24 31.7307692307692 550 0 0 0
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+8 0 1 0 0 84 24 24 31.7307692307692 634.615384615385 0 0 0
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+8 0 1 0 0 96 24 24 31.7307692307692 761.538461538462 0 0 0
+8 0 1 0 0 100 24 24 31.7307692307692 803.846153846154 0 0 0
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+8 0 1 0 0 108 24 24 31.7307692307692 888.461538461538 0 0 0
+8 0 1 0 0 112 24 24 31.7307692307692 930.769230769231 0 0 0
+8 0 1 0 0 116 24 24 31.7307692307692 973.076923076923 0 0 0
+8 0 1 0 0 120 24 24 31.7307692307692 1015.38461538462 0 0 0
+8 0 1 0 0 124 24 24 31.7307692307692 1057.69230769231 0 0 0
+8 0 1 0 0 128 24 24 31.7307692307692 1100 0 0 0
+8 0 1 0 0 132 24 24 31.7307692307692 1142.30769230769 0 0 0
+8 0 1 0 0 136 24 24 31.7307692307692 1184.61538461538 0 0 0
+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 0
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 18 24 24 31.7307692307692 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -0
+8 0 2 0 0 20 24 24 31.7307692307692 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 -0
+8 0 2 0 0 22 24 24 31.7307692307692 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 -0
+8 0 2 0 0 24 24 24 31.7307692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
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+8 0 2 0 0 28 24 24 31.7307692307692 42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 30 24 24 31.7307692307692 63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 32 24 24 31.7307692307692 84.6153846153846 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 34 24 24 31.7307692307692 105.769230769231 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 36 24 24 31.7307692307692 126.923076923077 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 38 24 24 31.7307692307692 148.076923076923 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 40 24 24 31.7307692307692 169.230769230769 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 42 24 24 31.7307692307692 190.384615384615 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 44 24 24 31.7307692307692 211.538461538462 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 46 24 24 31.7307692307692 232.692307692308 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 48 24 24 31.7307692307692 253.846153846154 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 50 24 24 31.7307692307692 275 7.105427357601e-15 7.105427357601e-15 0
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+8 0 2 0 0 56 24 24 31.7307692307692 338.461538461538 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 58 24 24 31.7307692307692 359.615384615385 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 60 24 24 31.7307692307692 380.769230769231 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 62 24 24 31.7307692307692 401.923076923077 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 64 24 24 31.7307692307692 423.076923076923 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 66 24 24 31.7307692307692 444.230769230769 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 68 24 24 31.7307692307692 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 70 24 24 31.7307692307692 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 72 24 24 31.7307692307692 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 74 24 24 31.7307692307692 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 76 24 24 31.7307692307692 550 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 78 24 24 31.7307692307692 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 80 24 24 31.7307692307692 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 82 24 24 31.7307692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 12 24 24 47.5961538461538 -126.923076923077 0 0 -0
+12 0 1 0 0 16 24 24 47.5961538461538 -84.6153846153846 0 0 -0
+12 0 1 0 0 20 24 24 47.5961538461538 -42.3076923076923 0 0 -0
+12 0 1 0 0 24 24 24 47.5961538461538 0 0 0 0
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+12 0 1 0 0 32 24 24 47.5961538461538 84.6153846153846 0 0 0
+12 0 1 0 0 36 24 24 47.5961538461538 126.923076923077 0 0 0
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+12 0 1 0 0 48 24 24 47.5961538461538 253.846153846154 0 0 0
+12 0 1 0 0 52 24 24 47.5961538461538 296.153846153846 0 0 0
+12 0 1 0 0 56 24 24 47.5961538461538 338.461538461538 0 0 0
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+12 0 1 0 0 76 24 24 47.5961538461538 550 0 0 0
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+12 0 1 0 0 108 24 24 47.5961538461538 888.461538461538 0 0 0
+12 0 1 0 0 112 24 24 47.5961538461538 930.769230769231 0 0 0
+12 0 1 0 0 116 24 24 47.5961538461538 973.076923076923 0 0 0
+12 0 1 0 0 120 24 24 47.5961538461538 1015.38461538462 0 0 0
+12 0 1 0 0 124 24 24 47.5961538461538 1057.69230769231 0 0 0
+12 0 1 0 0 128 24 24 47.5961538461538 1100 0 0 0
+12 0 1 0 0 132 24 24 47.5961538461538 1142.30769230769 0 0 0
+12 0 1 0 0 136 24 24 47.5961538461538 1184.61538461538 0 0 0
+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 0
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 18 24 24 47.5961538461538 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -0
+12 0 2 0 0 20 24 24 47.5961538461538 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 -0
+12 0 2 0 0 22 24 24 47.5961538461538 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 -0
+12 0 2 0 0 24 24 24 47.5961538461538 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 26 24 24 47.5961538461538 21.1538461538462 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 28 24 24 47.5961538461538 42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 30 24 24 47.5961538461538 63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 32 24 24 47.5961538461538 84.6153846153846 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 34 24 24 47.5961538461538 105.769230769231 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 36 24 24 47.5961538461538 126.923076923077 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 38 24 24 47.5961538461538 148.076923076923 7.105427357601e-15 7.105427357601e-15 0
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+12 0 2 0 0 42 24 24 47.5961538461538 190.384615384615 7.105427357601e-15 7.105427357601e-15 0
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+12 0 2 0 0 68 24 24 47.5961538461538 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
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+12 0 2 0 0 76 24 24 47.5961538461538 550 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
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+12 0 2 0 0 82 24 24 47.5961538461538 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 0 24 24 63.4615384615385 -253.846153846154 0 0 -0
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+16 0 0 0 0 200 24 24 63.4615384615385 1861.53846153846 0 0 0
+16 0 0 0 0 208 24 24 63.4615384615385 1946.15384615385 0 0 0
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+16 0 0 0 0 224 24 24 63.4615384615385 2115.38461538462 0 0 0
+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 12 24 24 63.4615384615385 -126.923076923077 0 0 -0
+16 0 1 0 0 16 24 24 63.4615384615385 -84.6153846153846 0 0 -0
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+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 0
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 18 24 24 63.4615384615385 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -0
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+16 0 2 0 0 72 24 24 63.4615384615385 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+16 0 2 0 0 74 24 24 63.4615384615385 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+16 0 2 0 0 76 24 24 63.4615384615385 550 7.105427357601e-15 7.105427357601e-15 0
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+16 0 2 0 0 80 24 24 63.4615384615385 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+16 0 2 0 0 82 24 24 63.4615384615385 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 12 24 24 79.3269230769231 -126.923076923077 0 0 -0
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+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 0
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 18 24 24 79.3269230769231 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -0
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+20 0 2 0 0 68 24 24 79.3269230769231 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
+20 0 2 0 0 70 24 24 79.3269230769231 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+20 0 2 0 0 72 24 24 79.3269230769231 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+20 0 2 0 0 74 24 24 79.3269230769231 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+20 0 2 0 0 76 24 24 79.3269230769231 550 7.105427357601e-15 7.105427357601e-15 0
+20 0 2 0 0 78 24 24 79.3269230769231 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+20 0 2 0 0 80 24 24 79.3269230769231 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+20 0 2 0 0 82 24 24 79.3269230769231 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 3 0 0 21 24 24 79.3269230769231 -31.7307692307692 7.105427357601e-15 7.105427357601e-15 0
+20 0 3 0 0 22 24 24 79.3269230769231 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 -0
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 53 24 24 95.1923076923077 306.730769230769 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 74 24 24 111.057692307692 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+28 0 2 0 0 76 24 24 111.057692307692 550 7.105427357601e-15 7.105427357601e-15 0
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+28 0 2 0 0 82 24 24 111.057692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 0
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 0
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 0
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betay.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/betay.y.asc
new file mode 100644
index 000000000..4bf881a61
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betay.y.asc
@@ -0,0 +1,864 @@
+# ADMBASE::betay y (betay)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 0
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 0
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+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 0
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 0
+0 0 0 0 0 24 232 24 0 0 2200 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 0
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 0
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+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 18 24 0 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0
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+0 0 2 0 0 24 70 24 0 7.105427357601e-15 486.538461538462 7.105427357601e-15 0
+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+0 0 2 0 0 24 74 24 0 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 0
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 0
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+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 2 0 0 24 72 24 15.8653846153846 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+4 0 2 0 0 24 74 24 15.8653846153846 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+4 0 2 0 0 24 76 24 15.8653846153846 7.105427357601e-15 550 7.105427357601e-15 0
+4 0 2 0 0 24 78 24 15.8653846153846 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+4 0 2 0 0 24 80 24 15.8653846153846 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+4 0 2 0 0 24 82 24 15.8653846153846 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 0 24 31.7307692307692 0 -253.846153846154 0 0
+8 0 0 0 0 24 8 24 31.7307692307692 0 -169.230769230769 0 0
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+8 0 0 0 0 24 160 24 31.7307692307692 0 1438.46153846154 0 0
+8 0 0 0 0 24 168 24 31.7307692307692 0 1523.07692307692 0 0
+8 0 0 0 0 24 176 24 31.7307692307692 0 1607.69230769231 0 0
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+8 0 0 0 0 24 200 24 31.7307692307692 0 1861.53846153846 0 0
+8 0 0 0 0 24 208 24 31.7307692307692 0 1946.15384615385 0 0
+8 0 0 0 0 24 216 24 31.7307692307692 0 2030.76923076923 0 0
+8 0 0 0 0 24 224 24 31.7307692307692 0 2115.38461538462 0 0
+8 0 0 0 0 24 232 24 31.7307692307692 0 2200 0 0
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 12 24 31.7307692307692 0 -126.923076923077 0 0
+8 0 1 0 0 24 16 24 31.7307692307692 0 -84.6153846153846 0 0
+8 0 1 0 0 24 20 24 31.7307692307692 0 -42.3076923076923 0 0
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+8 0 1 0 0 24 32 24 31.7307692307692 0 84.6153846153846 0 0
+8 0 1 0 0 24 36 24 31.7307692307692 0 126.923076923077 0 0
+8 0 1 0 0 24 40 24 31.7307692307692 0 169.230769230769 0 0
+8 0 1 0 0 24 44 24 31.7307692307692 0 211.538461538462 0 0
+8 0 1 0 0 24 48 24 31.7307692307692 0 253.846153846154 0 0
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+8 0 1 0 0 24 72 24 31.7307692307692 0 507.692307692308 0 0
+8 0 1 0 0 24 76 24 31.7307692307692 0 550 0 0
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+8 0 1 0 0 24 88 24 31.7307692307692 0 676.923076923077 0 0
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+8 0 1 0 0 24 96 24 31.7307692307692 0 761.538461538462 0 0
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+8 0 1 0 0 24 104 24 31.7307692307692 0 846.153846153846 0 0
+8 0 1 0 0 24 108 24 31.7307692307692 0 888.461538461538 0 0
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+8 0 1 0 0 24 116 24 31.7307692307692 0 973.076923076923 0 0
+8 0 1 0 0 24 120 24 31.7307692307692 0 1015.38461538462 0 0
+8 0 1 0 0 24 124 24 31.7307692307692 0 1057.69230769231 0 0
+8 0 1 0 0 24 128 24 31.7307692307692 0 1100 0 0
+8 0 1 0 0 24 132 24 31.7307692307692 0 1142.30769230769 0 0
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+8 0 1 0 0 24 140 24 31.7307692307692 0 1226.92307692308 0 0
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 18 24 31.7307692307692 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0
+8 0 2 0 0 24 20 24 31.7307692307692 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 0
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+8 0 2 0 0 24 24 24 31.7307692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 24 26 24 31.7307692307692 7.105427357601e-15 21.1538461538462 7.105427357601e-15 0
+8 0 2 0 0 24 28 24 31.7307692307692 7.105427357601e-15 42.3076923076923 7.105427357601e-15 0
+8 0 2 0 0 24 30 24 31.7307692307692 7.105427357601e-15 63.4615384615385 7.105427357601e-15 0
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+8 0 2 0 0 24 40 24 31.7307692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 0
+8 0 2 0 0 24 42 24 31.7307692307692 7.105427357601e-15 190.384615384615 7.105427357601e-15 0
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+8 0 2 0 0 24 70 24 31.7307692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 0
+8 0 2 0 0 24 72 24 31.7307692307692 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+8 0 2 0 0 24 74 24 31.7307692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+8 0 2 0 0 24 76 24 31.7307692307692 7.105427357601e-15 550 7.105427357601e-15 0
+8 0 2 0 0 24 78 24 31.7307692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+8 0 2 0 0 24 80 24 31.7307692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+8 0 2 0 0 24 82 24 31.7307692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 12 24 47.5961538461538 0 -126.923076923077 0 0
+12 0 1 0 0 24 16 24 47.5961538461538 0 -84.6153846153846 0 0
+12 0 1 0 0 24 20 24 47.5961538461538 0 -42.3076923076923 0 0
+12 0 1 0 0 24 24 24 47.5961538461538 0 0 0 0
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+12 0 1 0 0 24 32 24 47.5961538461538 0 84.6153846153846 0 0
+12 0 1 0 0 24 36 24 47.5961538461538 0 126.923076923077 0 0
+12 0 1 0 0 24 40 24 47.5961538461538 0 169.230769230769 0 0
+12 0 1 0 0 24 44 24 47.5961538461538 0 211.538461538462 0 0
+12 0 1 0 0 24 48 24 47.5961538461538 0 253.846153846154 0 0
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+12 0 1 0 0 24 128 24 47.5961538461538 0 1100 0 0
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 0
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 18 24 47.5961538461538 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0
+12 0 2 0 0 24 20 24 47.5961538461538 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 0
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+12 0 2 0 0 24 30 24 47.5961538461538 7.105427357601e-15 63.4615384615385 7.105427357601e-15 0
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+12 0 2 0 0 24 40 24 47.5961538461538 7.105427357601e-15 169.230769230769 7.105427357601e-15 0
+12 0 2 0 0 24 42 24 47.5961538461538 7.105427357601e-15 190.384615384615 7.105427357601e-15 0
+12 0 2 0 0 24 44 24 47.5961538461538 7.105427357601e-15 211.538461538462 7.105427357601e-15 0
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+12 0 2 0 0 24 48 24 47.5961538461538 7.105427357601e-15 253.846153846154 7.105427357601e-15 0
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+12 0 2 0 0 24 60 24 47.5961538461538 7.105427357601e-15 380.769230769231 7.105427357601e-15 0
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+12 0 2 0 0 24 68 24 47.5961538461538 7.105427357601e-15 465.384615384615 7.105427357601e-15 0
+12 0 2 0 0 24 70 24 47.5961538461538 7.105427357601e-15 486.538461538462 7.105427357601e-15 0
+12 0 2 0 0 24 72 24 47.5961538461538 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+12 0 2 0 0 24 74 24 47.5961538461538 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+12 0 2 0 0 24 76 24 47.5961538461538 7.105427357601e-15 550 7.105427357601e-15 0
+12 0 2 0 0 24 78 24 47.5961538461538 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+12 0 2 0 0 24 80 24 47.5961538461538 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+12 0 2 0 0 24 82 24 47.5961538461538 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 24 0 24 63.4615384615385 0 -253.846153846154 0 0
+16 0 0 0 0 24 8 24 63.4615384615385 0 -169.230769230769 0 0
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+16 0 0 0 0 24 40 24 63.4615384615385 0 169.230769230769 0 0
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+16 0 0 0 0 24 184 24 63.4615384615385 0 1692.30769230769 0 0
+16 0 0 0 0 24 192 24 63.4615384615385 0 1776.92307692308 0 0
+16 0 0 0 0 24 200 24 63.4615384615385 0 1861.53846153846 0 0
+16 0 0 0 0 24 208 24 63.4615384615385 0 1946.15384615385 0 0
+16 0 0 0 0 24 216 24 63.4615384615385 0 2030.76923076923 0 0
+16 0 0 0 0 24 224 24 63.4615384615385 0 2115.38461538462 0 0
+16 0 0 0 0 24 232 24 63.4615384615385 0 2200 0 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 12 24 63.4615384615385 0 -126.923076923077 0 0
+16 0 1 0 0 24 16 24 63.4615384615385 0 -84.6153846153846 0 0
+16 0 1 0 0 24 20 24 63.4615384615385 0 -42.3076923076923 0 0
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+16 0 1 0 0 24 32 24 63.4615384615385 0 84.6153846153846 0 0
+16 0 1 0 0 24 36 24 63.4615384615385 0 126.923076923077 0 0
+16 0 1 0 0 24 40 24 63.4615384615385 0 169.230769230769 0 0
+16 0 1 0 0 24 44 24 63.4615384615385 0 211.538461538462 0 0
+16 0 1 0 0 24 48 24 63.4615384615385 0 253.846153846154 0 0
+16 0 1 0 0 24 52 24 63.4615384615385 0 296.153846153846 0 0
+16 0 1 0 0 24 56 24 63.4615384615385 0 338.461538461538 0 0
+16 0 1 0 0 24 60 24 63.4615384615385 0 380.769230769231 0 0
+16 0 1 0 0 24 64 24 63.4615384615385 0 423.076923076923 0 0
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 0
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 24 76 24 63.4615384615385 7.105427357601e-15 550 7.105427357601e-15 0
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+16 0 2 0 0 24 82 24 63.4615384615385 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 24 12 24 79.3269230769231 0 -126.923076923077 0 0
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 2 0 0 24 82 24 79.3269230769231 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 3 0 0 24 53 24 79.3269230769231 7.105427357601e-15 306.730769230769 7.105427357601e-15 0
+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 82 24 111.057692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betay.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/betay.z.asc
new file mode 100644
index 000000000..ac8f1e581
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betay.z.asc
@@ -0,0 +1,864 @@
+# ADMBASE::betay z (betay)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 0
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 0
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 0 0 0 24 24 48 0 0 0 253.846153846154 0
+0 0 0 0 0 24 24 56 0 0 0 338.461538461539 0
+0 0 0 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 0 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 0 0 0 24 24 80 0 0 0 592.307692307692 0
+0 0 0 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 0 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 0 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 0 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 0 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 0 0 0 24 24 128 0 0 0 1100 0
+0 0 0 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 0
+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 0
+0 0 0 0 0 24 24 160 0 0 0 1438.46153846154 0
+0 0 0 0 0 24 24 168 0 0 0 1523.07692307692 0
+0 0 0 0 0 24 24 176 0 0 0 1607.69230769231 0
+0 0 0 0 0 24 24 184 0 0 0 1692.30769230769 0
+0 0 0 0 0 24 24 192 0 0 0 1776.92307692308 0
+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 0
+0 0 0 0 0 24 24 208 0 0 0 1946.15384615385 0
+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 0
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 0
+0 0 0 0 0 24 24 232 0 0 0 2200 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 0
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 24 24 28 0 0 0 42.3076923076923 0
+0 0 1 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 1 0 0 24 24 36 0 0 0 126.923076923077 0
+0 0 1 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 1 0 0 24 24 44 0 0 0 211.538461538462 0
+0 0 1 0 0 24 24 48 0 0 0 253.846153846154 0
+0 0 1 0 0 24 24 52 0 0 0 296.153846153846 0
+0 0 1 0 0 24 24 56 0 0 0 338.461538461538 0
+0 0 1 0 0 24 24 60 0 0 0 380.769230769231 0
+0 0 1 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 1 0 0 24 24 68 0 0 0 465.384615384615 0
+0 0 1 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 1 0 0 24 24 76 0 0 0 550 0
+0 0 1 0 0 24 24 80 0 0 0 592.307692307692 0
+0 0 1 0 0 24 24 84 0 0 0 634.615384615385 0
+0 0 1 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 1 0 0 24 24 92 0 0 0 719.230769230769 0
+0 0 1 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 1 0 0 24 24 100 0 0 0 803.846153846154 0
+0 0 1 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 1 0 0 24 24 108 0 0 0 888.461538461538 0
+0 0 1 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 1 0 0 24 24 116 0 0 0 973.076923076923 0
+0 0 1 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 1 0 0 24 24 124 0 0 0 1057.69230769231 0
+0 0 1 0 0 24 24 128 0 0 0 1100 0
+0 0 1 0 0 24 24 132 0 0 0 1142.30769230769 0
+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
+0 0 2 0 0 24 24 20 0 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 0
+0 0 2 0 0 24 24 22 0 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 24 24 26 0 7.105427357601e-15 7.105427357601e-15 21.1538461538462 0
+0 0 2 0 0 24 24 28 0 7.105427357601e-15 7.105427357601e-15 42.3076923076923 0
+0 0 2 0 0 24 24 30 0 7.105427357601e-15 7.105427357601e-15 63.4615384615385 0
+0 0 2 0 0 24 24 32 0 7.105427357601e-15 7.105427357601e-15 84.6153846153846 0
+0 0 2 0 0 24 24 34 0 7.105427357601e-15 7.105427357601e-15 105.769230769231 0
+0 0 2 0 0 24 24 36 0 7.105427357601e-15 7.105427357601e-15 126.923076923077 0
+0 0 2 0 0 24 24 38 0 7.105427357601e-15 7.105427357601e-15 148.076923076923 0
+0 0 2 0 0 24 24 40 0 7.105427357601e-15 7.105427357601e-15 169.230769230769 0
+0 0 2 0 0 24 24 42 0 7.105427357601e-15 7.105427357601e-15 190.384615384615 0
+0 0 2 0 0 24 24 44 0 7.105427357601e-15 7.105427357601e-15 211.538461538462 0
+0 0 2 0 0 24 24 46 0 7.105427357601e-15 7.105427357601e-15 232.692307692308 0
+0 0 2 0 0 24 24 48 0 7.105427357601e-15 7.105427357601e-15 253.846153846154 0
+0 0 2 0 0 24 24 50 0 7.105427357601e-15 7.105427357601e-15 275 0
+0 0 2 0 0 24 24 52 0 7.105427357601e-15 7.105427357601e-15 296.153846153846 0
+0 0 2 0 0 24 24 54 0 7.105427357601e-15 7.105427357601e-15 317.307692307692 0
+0 0 2 0 0 24 24 56 0 7.105427357601e-15 7.105427357601e-15 338.461538461538 0
+0 0 2 0 0 24 24 58 0 7.105427357601e-15 7.105427357601e-15 359.615384615385 0
+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 0
+0 0 2 0 0 24 24 62 0 7.105427357601e-15 7.105427357601e-15 401.923076923077 0
+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 0
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 0
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 0
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 0
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 0
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 0
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 0
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 0
+4 0 1 0 0 24 24 20 15.8653846153846 0 0 -42.3076923076923 0
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 0
+4 0 1 0 0 24 24 28 15.8653846153846 0 0 42.3076923076923 0
+4 0 1 0 0 24 24 32 15.8653846153846 0 0 84.6153846153846 0
+4 0 1 0 0 24 24 36 15.8653846153846 0 0 126.923076923077 0
+4 0 1 0 0 24 24 40 15.8653846153846 0 0 169.230769230769 0
+4 0 1 0 0 24 24 44 15.8653846153846 0 0 211.538461538462 0
+4 0 1 0 0 24 24 48 15.8653846153846 0 0 253.846153846154 0
+4 0 1 0 0 24 24 52 15.8653846153846 0 0 296.153846153846 0
+4 0 1 0 0 24 24 56 15.8653846153846 0 0 338.461538461538 0
+4 0 1 0 0 24 24 60 15.8653846153846 0 0 380.769230769231 0
+4 0 1 0 0 24 24 64 15.8653846153846 0 0 423.076923076923 0
+4 0 1 0 0 24 24 68 15.8653846153846 0 0 465.384615384615 0
+4 0 1 0 0 24 24 72 15.8653846153846 0 0 507.692307692308 0
+4 0 1 0 0 24 24 76 15.8653846153846 0 0 550 0
+4 0 1 0 0 24 24 80 15.8653846153846 0 0 592.307692307692 0
+4 0 1 0 0 24 24 84 15.8653846153846 0 0 634.615384615385 0
+4 0 1 0 0 24 24 88 15.8653846153846 0 0 676.923076923077 0
+4 0 1 0 0 24 24 92 15.8653846153846 0 0 719.230769230769 0
+4 0 1 0 0 24 24 96 15.8653846153846 0 0 761.538461538462 0
+4 0 1 0 0 24 24 100 15.8653846153846 0 0 803.846153846154 0
+4 0 1 0 0 24 24 104 15.8653846153846 0 0 846.153846153846 0
+4 0 1 0 0 24 24 108 15.8653846153846 0 0 888.461538461538 0
+4 0 1 0 0 24 24 112 15.8653846153846 0 0 930.769230769231 0
+4 0 1 0 0 24 24 116 15.8653846153846 0 0 973.076923076923 0
+4 0 1 0 0 24 24 120 15.8653846153846 0 0 1015.38461538462 0
+4 0 1 0 0 24 24 124 15.8653846153846 0 0 1057.69230769231 0
+4 0 1 0 0 24 24 128 15.8653846153846 0 0 1100 0
+4 0 1 0 0 24 24 132 15.8653846153846 0 0 1142.30769230769 0
+4 0 1 0 0 24 24 136 15.8653846153846 0 0 1184.61538461538 0
+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 24 18 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
+4 0 2 0 0 24 24 20 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 0
+4 0 2 0 0 24 24 22 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 0
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 24 24 26 15.8653846153846 7.105427357601e-15 7.105427357601e-15 21.1538461538462 0
+4 0 2 0 0 24 24 28 15.8653846153846 7.105427357601e-15 7.105427357601e-15 42.3076923076923 0
+4 0 2 0 0 24 24 30 15.8653846153846 7.105427357601e-15 7.105427357601e-15 63.4615384615385 0
+4 0 2 0 0 24 24 32 15.8653846153846 7.105427357601e-15 7.105427357601e-15 84.6153846153846 0
+4 0 2 0 0 24 24 34 15.8653846153846 7.105427357601e-15 7.105427357601e-15 105.769230769231 0
+4 0 2 0 0 24 24 36 15.8653846153846 7.105427357601e-15 7.105427357601e-15 126.923076923077 0
+4 0 2 0 0 24 24 38 15.8653846153846 7.105427357601e-15 7.105427357601e-15 148.076923076923 0
+4 0 2 0 0 24 24 40 15.8653846153846 7.105427357601e-15 7.105427357601e-15 169.230769230769 0
+4 0 2 0 0 24 24 42 15.8653846153846 7.105427357601e-15 7.105427357601e-15 190.384615384615 0
+4 0 2 0 0 24 24 44 15.8653846153846 7.105427357601e-15 7.105427357601e-15 211.538461538462 0
+4 0 2 0 0 24 24 46 15.8653846153846 7.105427357601e-15 7.105427357601e-15 232.692307692308 0
+4 0 2 0 0 24 24 48 15.8653846153846 7.105427357601e-15 7.105427357601e-15 253.846153846154 0
+4 0 2 0 0 24 24 50 15.8653846153846 7.105427357601e-15 7.105427357601e-15 275 0
+4 0 2 0 0 24 24 52 15.8653846153846 7.105427357601e-15 7.105427357601e-15 296.153846153846 0
+4 0 2 0 0 24 24 54 15.8653846153846 7.105427357601e-15 7.105427357601e-15 317.307692307692 0
+4 0 2 0 0 24 24 56 15.8653846153846 7.105427357601e-15 7.105427357601e-15 338.461538461538 0
+4 0 2 0 0 24 24 58 15.8653846153846 7.105427357601e-15 7.105427357601e-15 359.615384615385 0
+4 0 2 0 0 24 24 60 15.8653846153846 7.105427357601e-15 7.105427357601e-15 380.769230769231 0
+4 0 2 0 0 24 24 62 15.8653846153846 7.105427357601e-15 7.105427357601e-15 401.923076923077 0
+4 0 2 0 0 24 24 64 15.8653846153846 7.105427357601e-15 7.105427357601e-15 423.076923076923 0
+4 0 2 0 0 24 24 66 15.8653846153846 7.105427357601e-15 7.105427357601e-15 444.230769230769 0
+4 0 2 0 0 24 24 68 15.8653846153846 7.105427357601e-15 7.105427357601e-15 465.384615384615 0
+4 0 2 0 0 24 24 70 15.8653846153846 7.105427357601e-15 7.105427357601e-15 486.538461538462 0
+4 0 2 0 0 24 24 72 15.8653846153846 7.105427357601e-15 7.105427357601e-15 507.692307692308 0
+4 0 2 0 0 24 24 74 15.8653846153846 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+4 0 2 0 0 24 24 76 15.8653846153846 7.105427357601e-15 7.105427357601e-15 550 0
+4 0 2 0 0 24 24 78 15.8653846153846 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+4 0 2 0 0 24 24 80 15.8653846153846 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+4 0 2 0 0 24 24 82 15.8653846153846 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 24 0 31.7307692307692 0 0 -253.846153846154 0
+8 0 0 0 0 24 24 8 31.7307692307692 0 0 -169.230769230769 0
+8 0 0 0 0 24 24 16 31.7307692307692 0 0 -84.6153846153846 0
+8 0 0 0 0 24 24 24 31.7307692307692 0 0 0 0
+8 0 0 0 0 24 24 32 31.7307692307692 0 0 84.6153846153846 0
+8 0 0 0 0 24 24 40 31.7307692307692 0 0 169.230769230769 0
+8 0 0 0 0 24 24 48 31.7307692307692 0 0 253.846153846154 0
+8 0 0 0 0 24 24 56 31.7307692307692 0 0 338.461538461539 0
+8 0 0 0 0 24 24 64 31.7307692307692 0 0 423.076923076923 0
+8 0 0 0 0 24 24 72 31.7307692307692 0 0 507.692307692308 0
+8 0 0 0 0 24 24 80 31.7307692307692 0 0 592.307692307692 0
+8 0 0 0 0 24 24 88 31.7307692307692 0 0 676.923076923077 0
+8 0 0 0 0 24 24 96 31.7307692307692 0 0 761.538461538462 0
+8 0 0 0 0 24 24 104 31.7307692307692 0 0 846.153846153846 0
+8 0 0 0 0 24 24 112 31.7307692307692 0 0 930.769230769231 0
+8 0 0 0 0 24 24 120 31.7307692307692 0 0 1015.38461538462 0
+8 0 0 0 0 24 24 128 31.7307692307692 0 0 1100 0
+8 0 0 0 0 24 24 136 31.7307692307692 0 0 1184.61538461538 0
+8 0 0 0 0 24 24 144 31.7307692307692 0 0 1269.23076923077 0
+8 0 0 0 0 24 24 152 31.7307692307692 0 0 1353.84615384615 0
+8 0 0 0 0 24 24 160 31.7307692307692 0 0 1438.46153846154 0
+8 0 0 0 0 24 24 168 31.7307692307692 0 0 1523.07692307692 0
+8 0 0 0 0 24 24 176 31.7307692307692 0 0 1607.69230769231 0
+8 0 0 0 0 24 24 184 31.7307692307692 0 0 1692.30769230769 0
+8 0 0 0 0 24 24 192 31.7307692307692 0 0 1776.92307692308 0
+8 0 0 0 0 24 24 200 31.7307692307692 0 0 1861.53846153846 0
+8 0 0 0 0 24 24 208 31.7307692307692 0 0 1946.15384615385 0
+8 0 0 0 0 24 24 216 31.7307692307692 0 0 2030.76923076923 0
+8 0 0 0 0 24 24 224 31.7307692307692 0 0 2115.38461538462 0
+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 0
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 24 12 31.7307692307692 0 0 -126.923076923077 0
+8 0 1 0 0 24 24 16 31.7307692307692 0 0 -84.6153846153846 0
+8 0 1 0 0 24 24 20 31.7307692307692 0 0 -42.3076923076923 0
+8 0 1 0 0 24 24 24 31.7307692307692 0 0 0 0
+8 0 1 0 0 24 24 28 31.7307692307692 0 0 42.3076923076923 0
+8 0 1 0 0 24 24 32 31.7307692307692 0 0 84.6153846153846 0
+8 0 1 0 0 24 24 36 31.7307692307692 0 0 126.923076923077 0
+8 0 1 0 0 24 24 40 31.7307692307692 0 0 169.230769230769 0
+8 0 1 0 0 24 24 44 31.7307692307692 0 0 211.538461538462 0
+8 0 1 0 0 24 24 48 31.7307692307692 0 0 253.846153846154 0
+8 0 1 0 0 24 24 52 31.7307692307692 0 0 296.153846153846 0
+8 0 1 0 0 24 24 56 31.7307692307692 0 0 338.461538461538 0
+8 0 1 0 0 24 24 60 31.7307692307692 0 0 380.769230769231 0
+8 0 1 0 0 24 24 64 31.7307692307692 0 0 423.076923076923 0
+8 0 1 0 0 24 24 68 31.7307692307692 0 0 465.384615384615 0
+8 0 1 0 0 24 24 72 31.7307692307692 0 0 507.692307692308 0
+8 0 1 0 0 24 24 76 31.7307692307692 0 0 550 0
+8 0 1 0 0 24 24 80 31.7307692307692 0 0 592.307692307692 0
+8 0 1 0 0 24 24 84 31.7307692307692 0 0 634.615384615385 0
+8 0 1 0 0 24 24 88 31.7307692307692 0 0 676.923076923077 0
+8 0 1 0 0 24 24 92 31.7307692307692 0 0 719.230769230769 0
+8 0 1 0 0 24 24 96 31.7307692307692 0 0 761.538461538462 0
+8 0 1 0 0 24 24 100 31.7307692307692 0 0 803.846153846154 0
+8 0 1 0 0 24 24 104 31.7307692307692 0 0 846.153846153846 0
+8 0 1 0 0 24 24 108 31.7307692307692 0 0 888.461538461538 0
+8 0 1 0 0 24 24 112 31.7307692307692 0 0 930.769230769231 0
+8 0 1 0 0 24 24 116 31.7307692307692 0 0 973.076923076923 0
+8 0 1 0 0 24 24 120 31.7307692307692 0 0 1015.38461538462 0
+8 0 1 0 0 24 24 124 31.7307692307692 0 0 1057.69230769231 0
+8 0 1 0 0 24 24 128 31.7307692307692 0 0 1100 0
+8 0 1 0 0 24 24 132 31.7307692307692 0 0 1142.30769230769 0
+8 0 1 0 0 24 24 136 31.7307692307692 0 0 1184.61538461538 0
+8 0 1 0 0 24 24 140 31.7307692307692 0 0 1226.92307692308 0
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 24 18 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
+8 0 2 0 0 24 24 20 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 0
+8 0 2 0 0 24 24 22 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 0
+8 0 2 0 0 24 24 24 31.7307692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 24 24 26 31.7307692307692 7.105427357601e-15 7.105427357601e-15 21.1538461538462 0
+8 0 2 0 0 24 24 28 31.7307692307692 7.105427357601e-15 7.105427357601e-15 42.3076923076923 0
+8 0 2 0 0 24 24 30 31.7307692307692 7.105427357601e-15 7.105427357601e-15 63.4615384615385 0
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+8 0 2 0 0 24 24 82 31.7307692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 24 12 47.5961538461538 0 0 -126.923076923077 0
+12 0 1 0 0 24 24 16 47.5961538461538 0 0 -84.6153846153846 0
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+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 0
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 24 18 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
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+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 0
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 24 24 0 63.4615384615385 0 0 -253.846153846154 0
+16 0 0 0 0 24 24 8 63.4615384615385 0 0 -169.230769230769 0
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+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 0
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 0
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+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 0
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+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 0
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 24 18 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
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+16 0 2 0 0 24 24 60 63.4615384615385 7.105427357601e-15 7.105427357601e-15 380.769230769231 0
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+16 0 2 0 0 24 24 66 63.4615384615385 7.105427357601e-15 7.105427357601e-15 444.230769230769 0
+16 0 2 0 0 24 24 68 63.4615384615385 7.105427357601e-15 7.105427357601e-15 465.384615384615 0
+16 0 2 0 0 24 24 70 63.4615384615385 7.105427357601e-15 7.105427357601e-15 486.538461538462 0
+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 0
+16 0 2 0 0 24 24 74 63.4615384615385 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 0
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 24 24 12 79.3269230769231 0 0 -126.923076923077 0
+20 0 1 0 0 24 24 16 79.3269230769231 0 0 -84.6153846153846 0
+20 0 1 0 0 24 24 20 79.3269230769231 0 0 -42.3076923076923 0
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+20 0 1 0 0 24 24 32 79.3269230769231 0 0 84.6153846153846 0
+20 0 1 0 0 24 24 36 79.3269230769231 0 0 126.923076923077 0
+20 0 1 0 0 24 24 40 79.3269230769231 0 0 169.230769230769 0
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+20 0 1 0 0 24 24 48 79.3269230769231 0 0 253.846153846154 0
+20 0 1 0 0 24 24 52 79.3269230769231 0 0 296.153846153846 0
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 2 0 0 24 24 74 79.3269230769231 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+20 0 2 0 0 24 24 76 79.3269230769231 7.105427357601e-15 7.105427357601e-15 550 0
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+20 0 2 0 0 24 24 82 79.3269230769231 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 3 0 0 24 24 53 79.3269230769231 7.105427357601e-15 7.105427357601e-15 306.730769230769 0
+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 1 0 0 24 24 12 95.1923076923077 0 0 -126.923076923077 0
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+24 0 1 0 0 24 24 140 95.1923076923077 0 0 1226.92307692308 0
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 2 0 0 24 24 82 95.1923076923077 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 24 24 50 95.1923076923077 7.105427357601e-15 7.105427357601e-15 275 0
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+24 0 3 0 0 24 24 53 95.1923076923077 7.105427357601e-15 7.105427357601e-15 306.730769230769 0
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betay_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/betay_maximum.xg
new file mode 100644
index 000000000..b0536540a
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betay_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::betay
+"betay v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 -0.0000000000000e+00
+1.5865384615385e+01 -0.0000000000000e+00
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+9.1225961538462e+01 0.0000000000000e+00
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+1.1899038461538e+02 -0.0000000000000e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betay_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/betay_minimum.xg
new file mode 100644
index 000000000..b0536540a
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betay_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::betay
+"betay v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 -0.0000000000000e+00
+1.5865384615385e+01 -0.0000000000000e+00
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+1.1502403846154e+02 0.0000000000000e+00
+1.1899038461538e+02 -0.0000000000000e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betay_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/betay_norm1.xg
new file mode 100644
index 000000000..0835bf72a
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betay_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::betay
+"betay v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 0.0000000000000e+00
+1.5865384615385e+01 0.0000000000000e+00
+2.3798076923077e+01 0.0000000000000e+00
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+1.1899038461538e+02 0.0000000000000e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betay_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/betay_norm2.xg
new file mode 100644
index 000000000..0835bf72a
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betay_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::betay
+"betay v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 0.0000000000000e+00
+1.5865384615385e+01 0.0000000000000e+00
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+1.1502403846154e+02 0.0000000000000e+00
+1.1899038461538e+02 0.0000000000000e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betaz.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/betaz.x.asc
new file mode 100644
index 000000000..7c6acf991
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betaz.x.asc
@@ -0,0 +1,864 @@
+# ADMBASE::betaz x (betaz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 0
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 0
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 0
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+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 0
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+0 0 0 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 0 0 0 128 24 24 0 1100 0 0 0
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 0
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+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 0
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 0
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 0
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 0
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 0
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 0
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 0
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 0
+0 0 0 0 0 232 24 24 0 2200 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 0
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
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+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 0
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 0
+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 0
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+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 0
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 0
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 1 0 0 76 24 24 0 550 0 0 0
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 1 0 0 84 24 24 0 634.615384615385 0 0 0
+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 1 0 0 92 24 24 0 719.230769230769 0 0 0
+0 0 1 0 0 96 24 24 0 761.538461538462 0 0 0
+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 0
+0 0 1 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 0
+0 0 1 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 0
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 0
+0 0 1 0 0 128 24 24 0 1100 0 0 0
+0 0 1 0 0 132 24 24 0 1142.30769230769 0 0 0
+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 20 24 24 0 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 22 24 24 0 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 26 24 24 0 21.1538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 28 24 24 0 42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 30 24 24 0 63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 32 24 24 0 84.6153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 34 24 24 0 105.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 36 24 24 0 126.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 38 24 24 0 148.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 40 24 24 0 169.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 42 24 24 0 190.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 44 24 24 0 211.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 46 24 24 0 232.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 48 24 24 0 253.846153846154 7.105427357601e-15 7.105427357601e-15 0
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+0 0 2 0 0 58 24 24 0 359.615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 60 24 24 0 380.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 62 24 24 0 401.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 64 24 24 0 423.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 66 24 24 0 444.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 68 24 24 0 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 70 24 24 0 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 72 24 24 0 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 74 24 24 0 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 76 24 24 0 550 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 78 24 24 0 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 80 24 24 0 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 12 24 24 15.8653846153846 -126.923076923077 0 0 0
+4 0 1 0 0 16 24 24 15.8653846153846 -84.6153846153846 0 0 0
+4 0 1 0 0 20 24 24 15.8653846153846 -42.3076923076923 0 0 0
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 0
+4 0 1 0 0 28 24 24 15.8653846153846 42.3076923076923 0 0 0
+4 0 1 0 0 32 24 24 15.8653846153846 84.6153846153846 0 0 0
+4 0 1 0 0 36 24 24 15.8653846153846 126.923076923077 0 0 0
+4 0 1 0 0 40 24 24 15.8653846153846 169.230769230769 0 0 0
+4 0 1 0 0 44 24 24 15.8653846153846 211.538461538462 0 0 0
+4 0 1 0 0 48 24 24 15.8653846153846 253.846153846154 0 0 0
+4 0 1 0 0 52 24 24 15.8653846153846 296.153846153846 0 0 0
+4 0 1 0 0 56 24 24 15.8653846153846 338.461538461538 0 0 0
+4 0 1 0 0 60 24 24 15.8653846153846 380.769230769231 0 0 0
+4 0 1 0 0 64 24 24 15.8653846153846 423.076923076923 0 0 0
+4 0 1 0 0 68 24 24 15.8653846153846 465.384615384615 0 0 0
+4 0 1 0 0 72 24 24 15.8653846153846 507.692307692308 0 0 0
+4 0 1 0 0 76 24 24 15.8653846153846 550 0 0 0
+4 0 1 0 0 80 24 24 15.8653846153846 592.307692307692 0 0 0
+4 0 1 0 0 84 24 24 15.8653846153846 634.615384615385 0 0 0
+4 0 1 0 0 88 24 24 15.8653846153846 676.923076923077 0 0 0
+4 0 1 0 0 92 24 24 15.8653846153846 719.230769230769 0 0 0
+4 0 1 0 0 96 24 24 15.8653846153846 761.538461538462 0 0 0
+4 0 1 0 0 100 24 24 15.8653846153846 803.846153846154 0 0 0
+4 0 1 0 0 104 24 24 15.8653846153846 846.153846153846 0 0 0
+4 0 1 0 0 108 24 24 15.8653846153846 888.461538461538 0 0 0
+4 0 1 0 0 112 24 24 15.8653846153846 930.769230769231 0 0 0
+4 0 1 0 0 116 24 24 15.8653846153846 973.076923076923 0 0 0
+4 0 1 0 0 120 24 24 15.8653846153846 1015.38461538462 0 0 0
+4 0 1 0 0 124 24 24 15.8653846153846 1057.69230769231 0 0 0
+4 0 1 0 0 128 24 24 15.8653846153846 1100 0 0 0
+4 0 1 0 0 132 24 24 15.8653846153846 1142.30769230769 0 0 0
+4 0 1 0 0 136 24 24 15.8653846153846 1184.61538461538 0 0 0
+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 18 24 24 15.8653846153846 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 20 24 24 15.8653846153846 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 22 24 24 15.8653846153846 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 26 24 24 15.8653846153846 21.1538461538462 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 28 24 24 15.8653846153846 42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 30 24 24 15.8653846153846 63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 32 24 24 15.8653846153846 84.6153846153846 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 34 24 24 15.8653846153846 105.769230769231 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 36 24 24 15.8653846153846 126.923076923077 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 38 24 24 15.8653846153846 148.076923076923 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 40 24 24 15.8653846153846 169.230769230769 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 42 24 24 15.8653846153846 190.384615384615 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 44 24 24 15.8653846153846 211.538461538462 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 46 24 24 15.8653846153846 232.692307692308 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 48 24 24 15.8653846153846 253.846153846154 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 50 24 24 15.8653846153846 275 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 52 24 24 15.8653846153846 296.153846153846 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 54 24 24 15.8653846153846 317.307692307692 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 56 24 24 15.8653846153846 338.461538461538 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 58 24 24 15.8653846153846 359.615384615385 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 60 24 24 15.8653846153846 380.769230769231 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 62 24 24 15.8653846153846 401.923076923077 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 64 24 24 15.8653846153846 423.076923076923 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 66 24 24 15.8653846153846 444.230769230769 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 68 24 24 15.8653846153846 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 70 24 24 15.8653846153846 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 72 24 24 15.8653846153846 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 74 24 24 15.8653846153846 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 76 24 24 15.8653846153846 550 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 78 24 24 15.8653846153846 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 80 24 24 15.8653846153846 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 82 24 24 15.8653846153846 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 0 24 24 31.7307692307692 -253.846153846154 0 0 0
+8 0 0 0 0 8 24 24 31.7307692307692 -169.230769230769 0 0 0
+8 0 0 0 0 16 24 24 31.7307692307692 -84.6153846153846 0 0 0
+8 0 0 0 0 24 24 24 31.7307692307692 0 0 0 0
+8 0 0 0 0 32 24 24 31.7307692307692 84.6153846153846 0 0 0
+8 0 0 0 0 40 24 24 31.7307692307692 169.230769230769 0 0 0
+8 0 0 0 0 48 24 24 31.7307692307692 253.846153846154 0 0 0
+8 0 0 0 0 56 24 24 31.7307692307692 338.461538461539 0 0 0
+8 0 0 0 0 64 24 24 31.7307692307692 423.076923076923 0 0 0
+8 0 0 0 0 72 24 24 31.7307692307692 507.692307692308 0 0 0
+8 0 0 0 0 80 24 24 31.7307692307692 592.307692307692 0 0 0
+8 0 0 0 0 88 24 24 31.7307692307692 676.923076923077 0 0 0
+8 0 0 0 0 96 24 24 31.7307692307692 761.538461538462 0 0 0
+8 0 0 0 0 104 24 24 31.7307692307692 846.153846153846 0 0 0
+8 0 0 0 0 112 24 24 31.7307692307692 930.769230769231 0 0 0
+8 0 0 0 0 120 24 24 31.7307692307692 1015.38461538462 0 0 0
+8 0 0 0 0 128 24 24 31.7307692307692 1100 0 0 0
+8 0 0 0 0 136 24 24 31.7307692307692 1184.61538461538 0 0 0
+8 0 0 0 0 144 24 24 31.7307692307692 1269.23076923077 0 0 0
+8 0 0 0 0 152 24 24 31.7307692307692 1353.84615384615 0 0 0
+8 0 0 0 0 160 24 24 31.7307692307692 1438.46153846154 0 0 0
+8 0 0 0 0 168 24 24 31.7307692307692 1523.07692307692 0 0 0
+8 0 0 0 0 176 24 24 31.7307692307692 1607.69230769231 0 0 0
+8 0 0 0 0 184 24 24 31.7307692307692 1692.30769230769 0 0 0
+8 0 0 0 0 192 24 24 31.7307692307692 1776.92307692308 0 0 0
+8 0 0 0 0 200 24 24 31.7307692307692 1861.53846153846 0 0 0
+8 0 0 0 0 208 24 24 31.7307692307692 1946.15384615385 0 0 0
+8 0 0 0 0 216 24 24 31.7307692307692 2030.76923076923 0 0 0
+8 0 0 0 0 224 24 24 31.7307692307692 2115.38461538462 0 0 0
+8 0 0 0 0 232 24 24 31.7307692307692 2200 0 0 0
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 12 24 24 31.7307692307692 -126.923076923077 0 0 0
+8 0 1 0 0 16 24 24 31.7307692307692 -84.6153846153846 0 0 0
+8 0 1 0 0 20 24 24 31.7307692307692 -42.3076923076923 0 0 0
+8 0 1 0 0 24 24 24 31.7307692307692 0 0 0 0
+8 0 1 0 0 28 24 24 31.7307692307692 42.3076923076923 0 0 0
+8 0 1 0 0 32 24 24 31.7307692307692 84.6153846153846 0 0 0
+8 0 1 0 0 36 24 24 31.7307692307692 126.923076923077 0 0 0
+8 0 1 0 0 40 24 24 31.7307692307692 169.230769230769 0 0 0
+8 0 1 0 0 44 24 24 31.7307692307692 211.538461538462 0 0 0
+8 0 1 0 0 48 24 24 31.7307692307692 253.846153846154 0 0 0
+8 0 1 0 0 52 24 24 31.7307692307692 296.153846153846 0 0 0
+8 0 1 0 0 56 24 24 31.7307692307692 338.461538461538 0 0 0
+8 0 1 0 0 60 24 24 31.7307692307692 380.769230769231 0 0 0
+8 0 1 0 0 64 24 24 31.7307692307692 423.076923076923 0 0 0
+8 0 1 0 0 68 24 24 31.7307692307692 465.384615384615 0 0 0
+8 0 1 0 0 72 24 24 31.7307692307692 507.692307692308 0 0 0
+8 0 1 0 0 76 24 24 31.7307692307692 550 0 0 0
+8 0 1 0 0 80 24 24 31.7307692307692 592.307692307692 0 0 0
+8 0 1 0 0 84 24 24 31.7307692307692 634.615384615385 0 0 0
+8 0 1 0 0 88 24 24 31.7307692307692 676.923076923077 0 0 0
+8 0 1 0 0 92 24 24 31.7307692307692 719.230769230769 0 0 0
+8 0 1 0 0 96 24 24 31.7307692307692 761.538461538462 0 0 0
+8 0 1 0 0 100 24 24 31.7307692307692 803.846153846154 0 0 0
+8 0 1 0 0 104 24 24 31.7307692307692 846.153846153846 0 0 0
+8 0 1 0 0 108 24 24 31.7307692307692 888.461538461538 0 0 0
+8 0 1 0 0 112 24 24 31.7307692307692 930.769230769231 0 0 0
+8 0 1 0 0 116 24 24 31.7307692307692 973.076923076923 0 0 0
+8 0 1 0 0 120 24 24 31.7307692307692 1015.38461538462 0 0 0
+8 0 1 0 0 124 24 24 31.7307692307692 1057.69230769231 0 0 0
+8 0 1 0 0 128 24 24 31.7307692307692 1100 0 0 0
+8 0 1 0 0 132 24 24 31.7307692307692 1142.30769230769 0 0 0
+8 0 1 0 0 136 24 24 31.7307692307692 1184.61538461538 0 0 0
+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 0
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 18 24 24 31.7307692307692 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 20 24 24 31.7307692307692 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
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+8 0 2 0 0 82 24 24 31.7307692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 12 24 24 47.5961538461538 -126.923076923077 0 0 0
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+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 18 24 24 47.5961538461538 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
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+12 0 2 0 0 76 24 24 47.5961538461538 550 7.105427357601e-15 7.105427357601e-15 0
+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
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+12 0 2 0 0 82 24 24 47.5961538461538 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 0 24 24 63.4615384615385 -253.846153846154 0 0 0
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+16 0 0 0 0 224 24 24 63.4615384615385 2115.38461538462 0 0 0
+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 12 24 24 63.4615384615385 -126.923076923077 0 0 0
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+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 0
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 18 24 24 63.4615384615385 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
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+16 0 2 0 0 68 24 24 63.4615384615385 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
+16 0 2 0 0 70 24 24 63.4615384615385 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+16 0 2 0 0 72 24 24 63.4615384615385 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+16 0 2 0 0 74 24 24 63.4615384615385 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+16 0 2 0 0 76 24 24 63.4615384615385 550 7.105427357601e-15 7.105427357601e-15 0
+16 0 2 0 0 78 24 24 63.4615384615385 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+16 0 2 0 0 80 24 24 63.4615384615385 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+16 0 2 0 0 82 24 24 63.4615384615385 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 12 24 24 79.3269230769231 -126.923076923077 0 0 0
+20 0 1 0 0 16 24 24 79.3269230769231 -84.6153846153846 0 0 0
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 2 0 0 82 24 24 79.3269230769231 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 3 0 0 53 24 24 79.3269230769231 306.730769230769 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 2 0 0 82 24 24 95.1923076923077 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 50 24 24 95.1923076923077 275 7.105427357601e-15 7.105427357601e-15 0
+24 0 3 0 0 51 24 24 95.1923076923077 285.576923076923 7.105427357601e-15 7.105427357601e-15 0
+24 0 3 0 0 52 24 24 95.1923076923077 296.153846153846 7.105427357601e-15 7.105427357601e-15 0
+24 0 3 0 0 53 24 24 95.1923076923077 306.730769230769 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 76 24 24 111.057692307692 550 7.105427357601e-15 7.105427357601e-15 0
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+28 0 2 0 0 82 24 24 111.057692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 0
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 0
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 0
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betaz.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/betaz.y.asc
new file mode 100644
index 000000000..79c0eb4a7
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betaz.y.asc
@@ -0,0 +1,864 @@
+# ADMBASE::betaz y (betaz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 0
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 0
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+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 0
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 0
+0 0 0 0 0 24 232 24 0 0 2200 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 0
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 0
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+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 2 0 0 24 36 24 0 7.105427357601e-15 126.923076923077 7.105427357601e-15 0
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+0 0 2 0 0 24 70 24 0 7.105427357601e-15 486.538461538462 7.105427357601e-15 0
+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+0 0 2 0 0 24 74 24 0 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 0
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 0
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+4 0 1 0 0 24 128 24 15.8653846153846 0 1100 0 0
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+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 18 24 15.8653846153846 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0
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+4 0 2 0 0 24 28 24 15.8653846153846 7.105427357601e-15 42.3076923076923 7.105427357601e-15 0
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+4 0 2 0 0 24 42 24 15.8653846153846 7.105427357601e-15 190.384615384615 7.105427357601e-15 0
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+4 0 2 0 0 24 46 24 15.8653846153846 7.105427357601e-15 232.692307692308 7.105427357601e-15 0
+4 0 2 0 0 24 48 24 15.8653846153846 7.105427357601e-15 253.846153846154 7.105427357601e-15 0
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+4 0 2 0 0 24 52 24 15.8653846153846 7.105427357601e-15 296.153846153846 7.105427357601e-15 0
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+4 0 2 0 0 24 60 24 15.8653846153846 7.105427357601e-15 380.769230769231 7.105427357601e-15 0
+4 0 2 0 0 24 62 24 15.8653846153846 7.105427357601e-15 401.923076923077 7.105427357601e-15 0
+4 0 2 0 0 24 64 24 15.8653846153846 7.105427357601e-15 423.076923076923 7.105427357601e-15 0
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+4 0 2 0 0 24 68 24 15.8653846153846 7.105427357601e-15 465.384615384615 7.105427357601e-15 0
+4 0 2 0 0 24 70 24 15.8653846153846 7.105427357601e-15 486.538461538462 7.105427357601e-15 0
+4 0 2 0 0 24 72 24 15.8653846153846 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+4 0 2 0 0 24 74 24 15.8653846153846 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+4 0 2 0 0 24 76 24 15.8653846153846 7.105427357601e-15 550 7.105427357601e-15 0
+4 0 2 0 0 24 78 24 15.8653846153846 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+4 0 2 0 0 24 80 24 15.8653846153846 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+4 0 2 0 0 24 82 24 15.8653846153846 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 0 24 31.7307692307692 0 -253.846153846154 0 0
+8 0 0 0 0 24 8 24 31.7307692307692 0 -169.230769230769 0 0
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+8 0 0 0 0 24 224 24 31.7307692307692 0 2115.38461538462 0 0
+8 0 0 0 0 24 232 24 31.7307692307692 0 2200 0 0
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 12 24 31.7307692307692 0 -126.923076923077 0 0
+8 0 1 0 0 24 16 24 31.7307692307692 0 -84.6153846153846 0 0
+8 0 1 0 0 24 20 24 31.7307692307692 0 -42.3076923076923 0 0
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+8 0 1 0 0 24 48 24 31.7307692307692 0 253.846153846154 0 0
+8 0 1 0 0 24 52 24 31.7307692307692 0 296.153846153846 0 0
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+8 0 1 0 0 24 116 24 31.7307692307692 0 973.076923076923 0 0
+8 0 1 0 0 24 120 24 31.7307692307692 0 1015.38461538462 0 0
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+8 0 1 0 0 24 128 24 31.7307692307692 0 1100 0 0
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+8 0 1 0 0 24 140 24 31.7307692307692 0 1226.92307692308 0 0
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 18 24 31.7307692307692 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0
+8 0 2 0 0 24 20 24 31.7307692307692 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 0
+8 0 2 0 0 24 22 24 31.7307692307692 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 0
+8 0 2 0 0 24 24 24 31.7307692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+8 0 2 0 0 24 26 24 31.7307692307692 7.105427357601e-15 21.1538461538462 7.105427357601e-15 0
+8 0 2 0 0 24 28 24 31.7307692307692 7.105427357601e-15 42.3076923076923 7.105427357601e-15 0
+8 0 2 0 0 24 30 24 31.7307692307692 7.105427357601e-15 63.4615384615385 7.105427357601e-15 0
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+8 0 2 0 0 24 40 24 31.7307692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 0
+8 0 2 0 0 24 42 24 31.7307692307692 7.105427357601e-15 190.384615384615 7.105427357601e-15 0
+8 0 2 0 0 24 44 24 31.7307692307692 7.105427357601e-15 211.538461538462 7.105427357601e-15 0
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+8 0 2 0 0 24 50 24 31.7307692307692 7.105427357601e-15 275 7.105427357601e-15 0
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+8 0 2 0 0 24 56 24 31.7307692307692 7.105427357601e-15 338.461538461538 7.105427357601e-15 0
+8 0 2 0 0 24 58 24 31.7307692307692 7.105427357601e-15 359.615384615385 7.105427357601e-15 0
+8 0 2 0 0 24 60 24 31.7307692307692 7.105427357601e-15 380.769230769231 7.105427357601e-15 0
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+8 0 2 0 0 24 66 24 31.7307692307692 7.105427357601e-15 444.230769230769 7.105427357601e-15 0
+8 0 2 0 0 24 68 24 31.7307692307692 7.105427357601e-15 465.384615384615 7.105427357601e-15 0
+8 0 2 0 0 24 70 24 31.7307692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 0
+8 0 2 0 0 24 72 24 31.7307692307692 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+8 0 2 0 0 24 74 24 31.7307692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+8 0 2 0 0 24 76 24 31.7307692307692 7.105427357601e-15 550 7.105427357601e-15 0
+8 0 2 0 0 24 78 24 31.7307692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+8 0 2 0 0 24 80 24 31.7307692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+8 0 2 0 0 24 82 24 31.7307692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 12 24 47.5961538461538 0 -126.923076923077 0 0
+12 0 1 0 0 24 16 24 47.5961538461538 0 -84.6153846153846 0 0
+12 0 1 0 0 24 20 24 47.5961538461538 0 -42.3076923076923 0 0
+12 0 1 0 0 24 24 24 47.5961538461538 0 0 0 0
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+12 0 1 0 0 24 32 24 47.5961538461538 0 84.6153846153846 0 0
+12 0 1 0 0 24 36 24 47.5961538461538 0 126.923076923077 0 0
+12 0 1 0 0 24 40 24 47.5961538461538 0 169.230769230769 0 0
+12 0 1 0 0 24 44 24 47.5961538461538 0 211.538461538462 0 0
+12 0 1 0 0 24 48 24 47.5961538461538 0 253.846153846154 0 0
+12 0 1 0 0 24 52 24 47.5961538461538 0 296.153846153846 0 0
+12 0 1 0 0 24 56 24 47.5961538461538 0 338.461538461538 0 0
+12 0 1 0 0 24 60 24 47.5961538461538 0 380.769230769231 0 0
+12 0 1 0 0 24 64 24 47.5961538461538 0 423.076923076923 0 0
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+12 0 1 0 0 24 84 24 47.5961538461538 0 634.615384615385 0 0
+12 0 1 0 0 24 88 24 47.5961538461538 0 676.923076923077 0 0
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+12 0 1 0 0 24 100 24 47.5961538461538 0 803.846153846154 0 0
+12 0 1 0 0 24 104 24 47.5961538461538 0 846.153846153846 0 0
+12 0 1 0 0 24 108 24 47.5961538461538 0 888.461538461538 0 0
+12 0 1 0 0 24 112 24 47.5961538461538 0 930.769230769231 0 0
+12 0 1 0 0 24 116 24 47.5961538461538 0 973.076923076923 0 0
+12 0 1 0 0 24 120 24 47.5961538461538 0 1015.38461538462 0 0
+12 0 1 0 0 24 124 24 47.5961538461538 0 1057.69230769231 0 0
+12 0 1 0 0 24 128 24 47.5961538461538 0 1100 0 0
+12 0 1 0 0 24 132 24 47.5961538461538 0 1142.30769230769 0 0
+12 0 1 0 0 24 136 24 47.5961538461538 0 1184.61538461538 0 0
+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 0
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 18 24 47.5961538461538 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0
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+12 0 2 0 0 24 30 24 47.5961538461538 7.105427357601e-15 63.4615384615385 7.105427357601e-15 0
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+12 0 2 0 0 24 36 24 47.5961538461538 7.105427357601e-15 126.923076923077 7.105427357601e-15 0
+12 0 2 0 0 24 38 24 47.5961538461538 7.105427357601e-15 148.076923076923 7.105427357601e-15 0
+12 0 2 0 0 24 40 24 47.5961538461538 7.105427357601e-15 169.230769230769 7.105427357601e-15 0
+12 0 2 0 0 24 42 24 47.5961538461538 7.105427357601e-15 190.384615384615 7.105427357601e-15 0
+12 0 2 0 0 24 44 24 47.5961538461538 7.105427357601e-15 211.538461538462 7.105427357601e-15 0
+12 0 2 0 0 24 46 24 47.5961538461538 7.105427357601e-15 232.692307692308 7.105427357601e-15 0
+12 0 2 0 0 24 48 24 47.5961538461538 7.105427357601e-15 253.846153846154 7.105427357601e-15 0
+12 0 2 0 0 24 50 24 47.5961538461538 7.105427357601e-15 275 7.105427357601e-15 0
+12 0 2 0 0 24 52 24 47.5961538461538 7.105427357601e-15 296.153846153846 7.105427357601e-15 0
+12 0 2 0 0 24 54 24 47.5961538461538 7.105427357601e-15 317.307692307692 7.105427357601e-15 0
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+12 0 2 0 0 24 58 24 47.5961538461538 7.105427357601e-15 359.615384615385 7.105427357601e-15 0
+12 0 2 0 0 24 60 24 47.5961538461538 7.105427357601e-15 380.769230769231 7.105427357601e-15 0
+12 0 2 0 0 24 62 24 47.5961538461538 7.105427357601e-15 401.923076923077 7.105427357601e-15 0
+12 0 2 0 0 24 64 24 47.5961538461538 7.105427357601e-15 423.076923076923 7.105427357601e-15 0
+12 0 2 0 0 24 66 24 47.5961538461538 7.105427357601e-15 444.230769230769 7.105427357601e-15 0
+12 0 2 0 0 24 68 24 47.5961538461538 7.105427357601e-15 465.384615384615 7.105427357601e-15 0
+12 0 2 0 0 24 70 24 47.5961538461538 7.105427357601e-15 486.538461538462 7.105427357601e-15 0
+12 0 2 0 0 24 72 24 47.5961538461538 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+12 0 2 0 0 24 74 24 47.5961538461538 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+12 0 2 0 0 24 76 24 47.5961538461538 7.105427357601e-15 550 7.105427357601e-15 0
+12 0 2 0 0 24 78 24 47.5961538461538 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+12 0 2 0 0 24 80 24 47.5961538461538 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+12 0 2 0 0 24 82 24 47.5961538461538 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 24 0 24 63.4615384615385 0 -253.846153846154 0 0
+16 0 0 0 0 24 8 24 63.4615384615385 0 -169.230769230769 0 0
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+16 0 0 0 0 24 40 24 63.4615384615385 0 169.230769230769 0 0
+16 0 0 0 0 24 48 24 63.4615384615385 0 253.846153846154 0 0
+16 0 0 0 0 24 56 24 63.4615384615385 0 338.461538461539 0 0
+16 0 0 0 0 24 64 24 63.4615384615385 0 423.076923076923 0 0
+16 0 0 0 0 24 72 24 63.4615384615385 0 507.692307692308 0 0
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+16 0 0 0 0 24 168 24 63.4615384615385 0 1523.07692307692 0 0
+16 0 0 0 0 24 176 24 63.4615384615385 0 1607.69230769231 0 0
+16 0 0 0 0 24 184 24 63.4615384615385 0 1692.30769230769 0 0
+16 0 0 0 0 24 192 24 63.4615384615385 0 1776.92307692308 0 0
+16 0 0 0 0 24 200 24 63.4615384615385 0 1861.53846153846 0 0
+16 0 0 0 0 24 208 24 63.4615384615385 0 1946.15384615385 0 0
+16 0 0 0 0 24 216 24 63.4615384615385 0 2030.76923076923 0 0
+16 0 0 0 0 24 224 24 63.4615384615385 0 2115.38461538462 0 0
+16 0 0 0 0 24 232 24 63.4615384615385 0 2200 0 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 12 24 63.4615384615385 0 -126.923076923077 0 0
+16 0 1 0 0 24 16 24 63.4615384615385 0 -84.6153846153846 0 0
+16 0 1 0 0 24 20 24 63.4615384615385 0 -42.3076923076923 0 0
+16 0 1 0 0 24 24 24 63.4615384615385 0 0 0 0
+16 0 1 0 0 24 28 24 63.4615384615385 0 42.3076923076923 0 0
+16 0 1 0 0 24 32 24 63.4615384615385 0 84.6153846153846 0 0
+16 0 1 0 0 24 36 24 63.4615384615385 0 126.923076923077 0 0
+16 0 1 0 0 24 40 24 63.4615384615385 0 169.230769230769 0 0
+16 0 1 0 0 24 44 24 63.4615384615385 0 211.538461538462 0 0
+16 0 1 0 0 24 48 24 63.4615384615385 0 253.846153846154 0 0
+16 0 1 0 0 24 52 24 63.4615384615385 0 296.153846153846 0 0
+16 0 1 0 0 24 56 24 63.4615384615385 0 338.461538461538 0 0
+16 0 1 0 0 24 60 24 63.4615384615385 0 380.769230769231 0 0
+16 0 1 0 0 24 64 24 63.4615384615385 0 423.076923076923 0 0
+16 0 1 0 0 24 68 24 63.4615384615385 0 465.384615384615 0 0
+16 0 1 0 0 24 72 24 63.4615384615385 0 507.692307692308 0 0
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+16 0 1 0 0 24 88 24 63.4615384615385 0 676.923076923077 0 0
+16 0 1 0 0 24 92 24 63.4615384615385 0 719.230769230769 0 0
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+16 0 1 0 0 24 108 24 63.4615384615385 0 888.461538461538 0 0
+16 0 1 0 0 24 112 24 63.4615384615385 0 930.769230769231 0 0
+16 0 1 0 0 24 116 24 63.4615384615385 0 973.076923076923 0 0
+16 0 1 0 0 24 120 24 63.4615384615385 0 1015.38461538462 0 0
+16 0 1 0 0 24 124 24 63.4615384615385 0 1057.69230769231 0 0
+16 0 1 0 0 24 128 24 63.4615384615385 0 1100 0 0
+16 0 1 0 0 24 132 24 63.4615384615385 0 1142.30769230769 0 0
+16 0 1 0 0 24 136 24 63.4615384615385 0 1184.61538461538 0 0
+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 0
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 18 24 63.4615384615385 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0
+16 0 2 0 0 24 20 24 63.4615384615385 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 0
+16 0 2 0 0 24 22 24 63.4615384615385 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 0
+16 0 2 0 0 24 24 24 63.4615384615385 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+16 0 2 0 0 24 26 24 63.4615384615385 7.105427357601e-15 21.1538461538462 7.105427357601e-15 0
+16 0 2 0 0 24 28 24 63.4615384615385 7.105427357601e-15 42.3076923076923 7.105427357601e-15 0
+16 0 2 0 0 24 30 24 63.4615384615385 7.105427357601e-15 63.4615384615385 7.105427357601e-15 0
+16 0 2 0 0 24 32 24 63.4615384615385 7.105427357601e-15 84.6153846153846 7.105427357601e-15 0
+16 0 2 0 0 24 34 24 63.4615384615385 7.105427357601e-15 105.769230769231 7.105427357601e-15 0
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+16 0 2 0 0 24 38 24 63.4615384615385 7.105427357601e-15 148.076923076923 7.105427357601e-15 0
+16 0 2 0 0 24 40 24 63.4615384615385 7.105427357601e-15 169.230769230769 7.105427357601e-15 0
+16 0 2 0 0 24 42 24 63.4615384615385 7.105427357601e-15 190.384615384615 7.105427357601e-15 0
+16 0 2 0 0 24 44 24 63.4615384615385 7.105427357601e-15 211.538461538462 7.105427357601e-15 0
+16 0 2 0 0 24 46 24 63.4615384615385 7.105427357601e-15 232.692307692308 7.105427357601e-15 0
+16 0 2 0 0 24 48 24 63.4615384615385 7.105427357601e-15 253.846153846154 7.105427357601e-15 0
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+16 0 2 0 0 24 54 24 63.4615384615385 7.105427357601e-15 317.307692307692 7.105427357601e-15 0
+16 0 2 0 0 24 56 24 63.4615384615385 7.105427357601e-15 338.461538461538 7.105427357601e-15 0
+16 0 2 0 0 24 58 24 63.4615384615385 7.105427357601e-15 359.615384615385 7.105427357601e-15 0
+16 0 2 0 0 24 60 24 63.4615384615385 7.105427357601e-15 380.769230769231 7.105427357601e-15 0
+16 0 2 0 0 24 62 24 63.4615384615385 7.105427357601e-15 401.923076923077 7.105427357601e-15 0
+16 0 2 0 0 24 64 24 63.4615384615385 7.105427357601e-15 423.076923076923 7.105427357601e-15 0
+16 0 2 0 0 24 66 24 63.4615384615385 7.105427357601e-15 444.230769230769 7.105427357601e-15 0
+16 0 2 0 0 24 68 24 63.4615384615385 7.105427357601e-15 465.384615384615 7.105427357601e-15 0
+16 0 2 0 0 24 70 24 63.4615384615385 7.105427357601e-15 486.538461538462 7.105427357601e-15 0
+16 0 2 0 0 24 72 24 63.4615384615385 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+16 0 2 0 0 24 74 24 63.4615384615385 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+16 0 2 0 0 24 76 24 63.4615384615385 7.105427357601e-15 550 7.105427357601e-15 0
+16 0 2 0 0 24 78 24 63.4615384615385 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+16 0 2 0 0 24 80 24 63.4615384615385 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+16 0 2 0 0 24 82 24 63.4615384615385 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 24 12 24 79.3269230769231 0 -126.923076923077 0 0
+20 0 1 0 0 24 16 24 79.3269230769231 0 -84.6153846153846 0 0
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+20 0 1 0 0 24 44 24 79.3269230769231 0 211.538461538462 0 0
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+20 0 1 0 0 24 116 24 79.3269230769231 0 973.076923076923 0 0
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+20 0 1 0 0 24 128 24 79.3269230769231 0 1100 0 0
+20 0 1 0 0 24 132 24 79.3269230769231 0 1142.30769230769 0 0
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+20 0 1 0 0 24 140 24 79.3269230769231 0 1226.92307692308 0 0
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 24 18 24 79.3269230769231 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0
+20 0 2 0 0 24 20 24 79.3269230769231 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 0
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+20 0 2 0 0 24 24 24 79.3269230769231 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
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+20 0 2 0 0 24 28 24 79.3269230769231 7.105427357601e-15 42.3076923076923 7.105427357601e-15 0
+20 0 2 0 0 24 30 24 79.3269230769231 7.105427357601e-15 63.4615384615385 7.105427357601e-15 0
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+20 0 2 0 0 24 42 24 79.3269230769231 7.105427357601e-15 190.384615384615 7.105427357601e-15 0
+20 0 2 0 0 24 44 24 79.3269230769231 7.105427357601e-15 211.538461538462 7.105427357601e-15 0
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+20 0 2 0 0 24 48 24 79.3269230769231 7.105427357601e-15 253.846153846154 7.105427357601e-15 0
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+20 0 2 0 0 24 62 24 79.3269230769231 7.105427357601e-15 401.923076923077 7.105427357601e-15 0
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+20 0 2 0 0 24 66 24 79.3269230769231 7.105427357601e-15 444.230769230769 7.105427357601e-15 0
+20 0 2 0 0 24 68 24 79.3269230769231 7.105427357601e-15 465.384615384615 7.105427357601e-15 0
+20 0 2 0 0 24 70 24 79.3269230769231 7.105427357601e-15 486.538461538462 7.105427357601e-15 0
+20 0 2 0 0 24 72 24 79.3269230769231 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+20 0 2 0 0 24 74 24 79.3269230769231 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+20 0 2 0 0 24 76 24 79.3269230769231 7.105427357601e-15 550 7.105427357601e-15 0
+20 0 2 0 0 24 78 24 79.3269230769231 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+20 0 2 0 0 24 80 24 79.3269230769231 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+20 0 2 0 0 24 82 24 79.3269230769231 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 3 0 0 24 21 24 79.3269230769231 7.105427357601e-15 -31.7307692307692 7.105427357601e-15 0
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+20 0 3 0 0 24 53 24 79.3269230769231 7.105427357601e-15 306.730769230769 7.105427357601e-15 0
+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 1 0 0 24 12 24 95.1923076923077 0 -126.923076923077 0 0
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 2 0 0 24 82 24 95.1923076923077 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 3 0 0 24 21 24 95.1923076923077 7.105427357601e-15 -31.7307692307692 7.105427357601e-15 0
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+24 0 3 0 0 24 53 24 95.1923076923077 7.105427357601e-15 306.730769230769 7.105427357601e-15 0
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 1 0 0 24 12 24 111.057692307692 0 -126.923076923077 0 0
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 24 18 24 111.057692307692 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0
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+28 0 2 0 0 24 74 24 111.057692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+28 0 2 0 0 24 76 24 111.057692307692 7.105427357601e-15 550 7.105427357601e-15 0
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+28 0 2 0 0 24 82 24 111.057692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 0
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 0
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 0
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betaz.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/betaz.z.asc
new file mode 100644
index 000000000..37d8b7803
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betaz.z.asc
@@ -0,0 +1,864 @@
+# ADMBASE::betaz z (betaz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 0
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 0
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
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+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 0
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+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 0
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+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 0
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 0
+0 0 0 0 0 24 24 232 0 0 0 2200 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 0
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
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+0 0 1 0 0 24 24 68 0 0 0 465.384615384615 0
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+0 0 1 0 0 24 24 76 0 0 0 550 0
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+0 0 1 0 0 24 24 88 0 0 0 676.923076923077 0
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+0 0 1 0 0 24 24 108 0 0 0 888.461538461538 0
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+0 0 1 0 0 24 24 128 0 0 0 1100 0
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+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
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+0 0 2 0 0 24 24 38 0 7.105427357601e-15 7.105427357601e-15 148.076923076923 0
+0 0 2 0 0 24 24 40 0 7.105427357601e-15 7.105427357601e-15 169.230769230769 0
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+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 0
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+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 0
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 0
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 0
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 0
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 0
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 0
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 0
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 0
+4 0 1 0 0 24 24 20 15.8653846153846 0 0 -42.3076923076923 0
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 0
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+4 0 1 0 0 24 24 32 15.8653846153846 0 0 84.6153846153846 0
+4 0 1 0 0 24 24 36 15.8653846153846 0 0 126.923076923077 0
+4 0 1 0 0 24 24 40 15.8653846153846 0 0 169.230769230769 0
+4 0 1 0 0 24 24 44 15.8653846153846 0 0 211.538461538462 0
+4 0 1 0 0 24 24 48 15.8653846153846 0 0 253.846153846154 0
+4 0 1 0 0 24 24 52 15.8653846153846 0 0 296.153846153846 0
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+4 0 1 0 0 24 24 76 15.8653846153846 0 0 550 0
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+4 0 1 0 0 24 24 88 15.8653846153846 0 0 676.923076923077 0
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+4 0 1 0 0 24 24 100 15.8653846153846 0 0 803.846153846154 0
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+4 0 1 0 0 24 24 108 15.8653846153846 0 0 888.461538461538 0
+4 0 1 0 0 24 24 112 15.8653846153846 0 0 930.769230769231 0
+4 0 1 0 0 24 24 116 15.8653846153846 0 0 973.076923076923 0
+4 0 1 0 0 24 24 120 15.8653846153846 0 0 1015.38461538462 0
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+4 0 1 0 0 24 24 128 15.8653846153846 0 0 1100 0
+4 0 1 0 0 24 24 132 15.8653846153846 0 0 1142.30769230769 0
+4 0 1 0 0 24 24 136 15.8653846153846 0 0 1184.61538461538 0
+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 24 18 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
+4 0 2 0 0 24 24 20 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 0
+4 0 2 0 0 24 24 22 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 0
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 24 24 26 15.8653846153846 7.105427357601e-15 7.105427357601e-15 21.1538461538462 0
+4 0 2 0 0 24 24 28 15.8653846153846 7.105427357601e-15 7.105427357601e-15 42.3076923076923 0
+4 0 2 0 0 24 24 30 15.8653846153846 7.105427357601e-15 7.105427357601e-15 63.4615384615385 0
+4 0 2 0 0 24 24 32 15.8653846153846 7.105427357601e-15 7.105427357601e-15 84.6153846153846 0
+4 0 2 0 0 24 24 34 15.8653846153846 7.105427357601e-15 7.105427357601e-15 105.769230769231 0
+4 0 2 0 0 24 24 36 15.8653846153846 7.105427357601e-15 7.105427357601e-15 126.923076923077 0
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+4 0 2 0 0 24 24 40 15.8653846153846 7.105427357601e-15 7.105427357601e-15 169.230769230769 0
+4 0 2 0 0 24 24 42 15.8653846153846 7.105427357601e-15 7.105427357601e-15 190.384615384615 0
+4 0 2 0 0 24 24 44 15.8653846153846 7.105427357601e-15 7.105427357601e-15 211.538461538462 0
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+4 0 2 0 0 24 24 82 15.8653846153846 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 24 0 31.7307692307692 0 0 -253.846153846154 0
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+8 0 0 0 0 24 24 224 31.7307692307692 0 0 2115.38461538462 0
+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 0
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 24 12 31.7307692307692 0 0 -126.923076923077 0
+8 0 1 0 0 24 24 16 31.7307692307692 0 0 -84.6153846153846 0
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+8 0 1 0 0 24 24 140 31.7307692307692 0 0 1226.92307692308 0
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 24 18 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
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+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 0
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+8 0 2 0 0 24 24 82 31.7307692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 24 12 47.5961538461538 0 0 -126.923076923077 0
+12 0 1 0 0 24 24 16 47.5961538461538 0 0 -84.6153846153846 0
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+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 0
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 24 18 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
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+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 0
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 24 24 0 63.4615384615385 0 0 -253.846153846154 0
+16 0 0 0 0 24 24 8 63.4615384615385 0 0 -169.230769230769 0
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+16 0 0 0 0 24 24 216 63.4615384615385 0 0 2030.76923076923 0
+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 0
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 0
+16 0 1 0 0 24 24 16 63.4615384615385 0 0 -84.6153846153846 0
+16 0 1 0 0 24 24 20 63.4615384615385 0 0 -42.3076923076923 0
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+16 0 1 0 0 24 24 32 63.4615384615385 0 0 84.6153846153846 0
+16 0 1 0 0 24 24 36 63.4615384615385 0 0 126.923076923077 0
+16 0 1 0 0 24 24 40 63.4615384615385 0 0 169.230769230769 0
+16 0 1 0 0 24 24 44 63.4615384615385 0 0 211.538461538462 0
+16 0 1 0 0 24 24 48 63.4615384615385 0 0 253.846153846154 0
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+16 0 1 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 0
+16 0 1 0 0 24 24 108 63.4615384615385 0 0 888.461538461538 0
+16 0 1 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 0
+16 0 1 0 0 24 24 116 63.4615384615385 0 0 973.076923076923 0
+16 0 1 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 0
+16 0 1 0 0 24 24 124 63.4615384615385 0 0 1057.69230769231 0
+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 0
+16 0 1 0 0 24 24 132 63.4615384615385 0 0 1142.30769230769 0
+16 0 1 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 0
+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 0
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 24 18 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
+16 0 2 0 0 24 24 20 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 0
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+16 0 2 0 0 24 24 28 63.4615384615385 7.105427357601e-15 7.105427357601e-15 42.3076923076923 0
+16 0 2 0 0 24 24 30 63.4615384615385 7.105427357601e-15 7.105427357601e-15 63.4615384615385 0
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+16 0 2 0 0 24 24 50 63.4615384615385 7.105427357601e-15 7.105427357601e-15 275 0
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+16 0 2 0 0 24 24 66 63.4615384615385 7.105427357601e-15 7.105427357601e-15 444.230769230769 0
+16 0 2 0 0 24 24 68 63.4615384615385 7.105427357601e-15 7.105427357601e-15 465.384615384615 0
+16 0 2 0 0 24 24 70 63.4615384615385 7.105427357601e-15 7.105427357601e-15 486.538461538462 0
+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 0
+16 0 2 0 0 24 24 74 63.4615384615385 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 0
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 24 24 12 79.3269230769231 0 0 -126.923076923077 0
+20 0 1 0 0 24 24 16 79.3269230769231 0 0 -84.6153846153846 0
+20 0 1 0 0 24 24 20 79.3269230769231 0 0 -42.3076923076923 0
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+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 0
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 2 0 0 24 24 66 79.3269230769231 7.105427357601e-15 7.105427357601e-15 444.230769230769 0
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+20 0 2 0 0 24 24 70 79.3269230769231 7.105427357601e-15 7.105427357601e-15 486.538461538462 0
+20 0 2 0 0 24 24 72 79.3269230769231 7.105427357601e-15 7.105427357601e-15 507.692307692308 0
+20 0 2 0 0 24 24 74 79.3269230769231 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+20 0 2 0 0 24 24 76 79.3269230769231 7.105427357601e-15 7.105427357601e-15 550 0
+20 0 2 0 0 24 24 78 79.3269230769231 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+20 0 2 0 0 24 24 80 79.3269230769231 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+20 0 2 0 0 24 24 82 79.3269230769231 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 3 0 0 24 24 21 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -31.7307692307692 0
+20 0 3 0 0 24 24 22 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 0
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+20 0 3 0 0 24 24 37 79.3269230769231 7.105427357601e-15 7.105427357601e-15 137.5 0
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+20 0 3 0 0 24 24 45 79.3269230769231 7.105427357601e-15 7.105427357601e-15 222.115384615385 0
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+20 0 3 0 0 24 24 47 79.3269230769231 7.105427357601e-15 7.105427357601e-15 243.269230769231 0
+20 0 3 0 0 24 24 48 79.3269230769231 7.105427357601e-15 7.105427357601e-15 253.846153846154 0
+20 0 3 0 0 24 24 49 79.3269230769231 7.105427357601e-15 7.105427357601e-15 264.423076923077 0
+20 0 3 0 0 24 24 50 79.3269230769231 7.105427357601e-15 7.105427357601e-15 275 0
+20 0 3 0 0 24 24 51 79.3269230769231 7.105427357601e-15 7.105427357601e-15 285.576923076923 0
+20 0 3 0 0 24 24 52 79.3269230769231 7.105427357601e-15 7.105427357601e-15 296.153846153846 0
+20 0 3 0 0 24 24 53 79.3269230769231 7.105427357601e-15 7.105427357601e-15 306.730769230769 0
+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 0 0 0 24 24 0 95.1923076923077 0 0 -253.846153846154 0
+24 0 0 0 0 24 24 8 95.1923076923077 0 0 -169.230769230769 0
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+24 0 0 0 0 24 24 200 95.1923076923077 0 0 1861.53846153846 0
+24 0 0 0 0 24 24 208 95.1923076923077 0 0 1946.15384615385 0
+24 0 0 0 0 24 24 216 95.1923076923077 0 0 2030.76923076923 0
+24 0 0 0 0 24 24 224 95.1923076923077 0 0 2115.38461538462 0
+24 0 0 0 0 24 24 232 95.1923076923077 0 0 2200 0
+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 24 24 53 95.1923076923077 7.105427357601e-15 7.105427357601e-15 306.730769230769 0
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 24 48 111.057692307692 7.105427357601e-15 7.105427357601e-15 253.846153846154 0
+28 0 3 0 0 24 24 49 111.057692307692 7.105427357601e-15 7.105427357601e-15 264.423076923077 0
+28 0 3 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 0
+28 0 3 0 0 24 24 51 111.057692307692 7.105427357601e-15 7.105427357601e-15 285.576923076923 0
+28 0 3 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 0
+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betaz_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/betaz_maximum.xg
new file mode 100644
index 000000000..efd9eecaa
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betaz_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::betaz
+"betaz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 0.0000000000000e+00
+1.5865384615385e+01 0.0000000000000e+00
+2.3798076923077e+01 0.0000000000000e+00
+3.1730769230769e+01 0.0000000000000e+00
+3.9663461538462e+01 0.0000000000000e+00
+4.7596153846154e+01 0.0000000000000e+00
+5.5528846153846e+01 0.0000000000000e+00
+6.3461538461538e+01 0.0000000000000e+00
+7.1394230769231e+01 0.0000000000000e+00
+7.5360576923077e+01 0.0000000000000e+00
+7.9326923076923e+01 0.0000000000000e+00
+8.3293269230769e+01 0.0000000000000e+00
+8.7259615384615e+01 0.0000000000000e+00
+9.1225961538462e+01 0.0000000000000e+00
+9.5192307692308e+01 0.0000000000000e+00
+9.9158653846154e+01 0.0000000000000e+00
+1.0312500000000e+02 0.0000000000000e+00
+1.0709134615385e+02 0.0000000000000e+00
+1.1105769230769e+02 0.0000000000000e+00
+1.1502403846154e+02 0.0000000000000e+00
+1.1899038461538e+02 0.0000000000000e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betaz_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/betaz_minimum.xg
new file mode 100644
index 000000000..efd9eecaa
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betaz_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::betaz
+"betaz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 0.0000000000000e+00
+1.5865384615385e+01 0.0000000000000e+00
+2.3798076923077e+01 0.0000000000000e+00
+3.1730769230769e+01 0.0000000000000e+00
+3.9663461538462e+01 0.0000000000000e+00
+4.7596153846154e+01 0.0000000000000e+00
+5.5528846153846e+01 0.0000000000000e+00
+6.3461538461538e+01 0.0000000000000e+00
+7.1394230769231e+01 0.0000000000000e+00
+7.5360576923077e+01 0.0000000000000e+00
+7.9326923076923e+01 0.0000000000000e+00
+8.3293269230769e+01 0.0000000000000e+00
+8.7259615384615e+01 0.0000000000000e+00
+9.1225961538462e+01 0.0000000000000e+00
+9.5192307692308e+01 0.0000000000000e+00
+9.9158653846154e+01 0.0000000000000e+00
+1.0312500000000e+02 0.0000000000000e+00
+1.0709134615385e+02 0.0000000000000e+00
+1.1105769230769e+02 0.0000000000000e+00
+1.1502403846154e+02 0.0000000000000e+00
+1.1899038461538e+02 0.0000000000000e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betaz_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/betaz_norm1.xg
new file mode 100644
index 000000000..efd9eecaa
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betaz_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::betaz
+"betaz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 0.0000000000000e+00
+1.5865384615385e+01 0.0000000000000e+00
+2.3798076923077e+01 0.0000000000000e+00
+3.1730769230769e+01 0.0000000000000e+00
+3.9663461538462e+01 0.0000000000000e+00
+4.7596153846154e+01 0.0000000000000e+00
+5.5528846153846e+01 0.0000000000000e+00
+6.3461538461538e+01 0.0000000000000e+00
+7.1394230769231e+01 0.0000000000000e+00
+7.5360576923077e+01 0.0000000000000e+00
+7.9326923076923e+01 0.0000000000000e+00
+8.3293269230769e+01 0.0000000000000e+00
+8.7259615384615e+01 0.0000000000000e+00
+9.1225961538462e+01 0.0000000000000e+00
+9.5192307692308e+01 0.0000000000000e+00
+9.9158653846154e+01 0.0000000000000e+00
+1.0312500000000e+02 0.0000000000000e+00
+1.0709134615385e+02 0.0000000000000e+00
+1.1105769230769e+02 0.0000000000000e+00
+1.1502403846154e+02 0.0000000000000e+00
+1.1899038461538e+02 0.0000000000000e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/betaz_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/betaz_norm2.xg
new file mode 100644
index 000000000..efd9eecaa
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/betaz_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::betaz
+"betaz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 0.0000000000000e+00
+1.5865384615385e+01 0.0000000000000e+00
+2.3798076923077e+01 0.0000000000000e+00
+3.1730769230769e+01 0.0000000000000e+00
+3.9663461538462e+01 0.0000000000000e+00
+4.7596153846154e+01 0.0000000000000e+00
+5.5528846153846e+01 0.0000000000000e+00
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+7.1394230769231e+01 0.0000000000000e+00
+7.5360576923077e+01 0.0000000000000e+00
+7.9326923076923e+01 0.0000000000000e+00
+8.3293269230769e+01 0.0000000000000e+00
+8.7259615384615e+01 0.0000000000000e+00
+9.1225961538462e+01 0.0000000000000e+00
+9.5192307692308e+01 0.0000000000000e+00
+9.9158653846154e+01 0.0000000000000e+00
+1.0312500000000e+02 0.0000000000000e+00
+1.0709134615385e+02 0.0000000000000e+00
+1.1105769230769e+02 0.0000000000000e+00
+1.1502403846154e+02 0.0000000000000e+00
+1.1899038461538e+02 0.0000000000000e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/dens.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/dens.x.asc
new file mode 100644
index 000000000..87518817f
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/dens.x.asc
@@ -0,0 +1,864 @@
+# WHISKY::dens x (dens)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 5.43543735399151e-09
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 6.74012576465668e-09
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+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 2.87560019608816e-11
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+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 1.7954131951494e-13
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 2.16736353861005e-14
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 5.03439195127173e-15
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 5.03295502815436e-15
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 5.03163336080469e-15
+0 0 0 0 0 232 24 24 0 2200 0 0 5.03041361690128e-15
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 7.28994583384591e-09
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 7.71789016560934e-09
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 7.9898276643521e-09
+0 0 1 0 0 24 24 24 0 0 0 0 8.0827742773283e-09
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 7.9898276643521e-09
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+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 6.10887999465679e-09
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+0 0 1 0 0 56 24 24 0 338.461538461538 0 0 4.09927141725538e-09
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+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 2.93217646318914e-09
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+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 8.77298286384696e-10
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+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 4.49031030938531e-10
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+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 2.89972060781339e-10
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+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 1.8041528217931e-10
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 1.37682000047211e-10
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 1.1063148614201e-10
+0 0 1 0 0 128 24 24 0 1100 0 0 8.3580972236809e-11
+0 0 1 0 0 132 24 24 0 1142.30769230769 0 0 6.66409609656658e-11
+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 4.97009496945225e-11
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 3.9228475827702e-11
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 7.87510965786759e-09
+0 0 2 0 0 20 24 24 0 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 7.9898276643521e-09
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+0 0 2 0 0 28 24 24 0 42.3076923076923 7.105427357601e-15 7.105427357601e-15 7.9898276643521e-09
+0 0 2 0 0 30 24 24 0 63.4615384615385 7.105427357601e-15 7.105427357601e-15 7.87510965786759e-09
+0 0 2 0 0 32 24 24 0 84.6153846153846 7.105427357601e-15 7.105427357601e-15 7.71789016560934e-09
+0 0 2 0 0 34 24 24 0 105.769230769231 7.105427357601e-15 7.105427357601e-15 7.52150211583689e-09
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+0 0 2 0 0 40 24 24 0 169.230769230769 7.105427357601e-15 7.105427357601e-15 6.74012576465668e-09
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+0 0 2 0 0 46 24 24 0 232.692307692308 7.105427357601e-15 7.105427357601e-15 5.77465427821931e-09
+0 0 2 0 0 48 24 24 0 253.846153846154 7.105427357601e-15 7.105427357601e-15 5.43543735399151e-09
+0 0 2 0 0 50 24 24 0 275 7.105427357601e-15 7.105427357601e-15 5.09398972756148e-09
+0 0 2 0 0 52 24 24 0 296.153846153846 7.105427357601e-15 7.105427357601e-15 4.75584427094423e-09
+0 0 2 0 0 54 24 24 0 317.307692307692 7.105427357601e-15 7.105427357601e-15 4.42288017633232e-09
+0 0 2 0 0 56 24 24 0 338.461538461538 7.105427357601e-15 7.105427357601e-15 4.09927141725538e-09
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+0 0 2 0 0 60 24 24 0 380.769230769231 7.105427357601e-15 7.105427357601e-15 3.48683998556332e-09
+0 0 2 0 0 62 24 24 0 401.923076923077 7.105427357601e-15 7.105427357601e-15 3.20179244130334e-09
+0 0 2 0 0 64 24 24 0 423.076923076923 7.105427357601e-15 7.105427357601e-15 2.93217646318914e-09
+0 0 2 0 0 66 24 24 0 444.230769230769 7.105427357601e-15 7.105427357601e-15 2.68657761996525e-09
+0 0 2 0 0 68 24 24 0 465.384615384615 7.105427357601e-15 7.105427357601e-15 2.44097877674135e-09
+0 0 2 0 0 70 24 24 0 486.538461538462 7.105427357601e-15 7.105427357601e-15 2.22783081316407e-09
+0 0 2 0 0 72 24 24 0 507.692307692308 7.105427357601e-15 7.105427357601e-15 2.01468284958679e-09
+0 0 2 0 0 74 24 24 0 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.83268474969624e-09
+0 0 2 0 0 76 24 24 0 550 7.105427357601e-15 7.105427357601e-15 1.65068664980569e-09
+0 0 2 0 0 78 24 24 0 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.49734179939408e-09
+0 0 2 0 0 80 24 24 0 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.34399694898247e-09
+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.21620782574944e-09
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 12 24 24 15.8653846153846 -126.923076923077 0 0 7.28970418554657e-09
+4 0 1 0 0 16 24 24 15.8653846153846 -84.6153846153846 0 0 7.71761389194582e-09
+4 0 1 0 0 20 24 24 15.8653846153846 -42.3076923076923 0 0 7.98953996278996e-09
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 8.08235384499349e-09
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+4 0 1 0 0 32 24 24 15.8653846153846 84.6153846153846 0 0 7.71761389194582e-09
+4 0 1 0 0 36 24 24 15.8653846153846 126.923076923077 0 0 7.28970418554657e-09
+4 0 1 0 0 40 24 24 15.8653846153846 169.230769230769 0 0 6.73990606592375e-09
+4 0 1 0 0 44 24 24 15.8653846153846 211.538461538462 0 0 6.10869169184232e-09
+4 0 1 0 0 48 24 24 15.8653846153846 253.846153846154 0 0 5.43527464918384e-09
+4 0 1 0 0 52 24 24 15.8653846153846 296.153846153846 0 0 4.75570967292121e-09
+4 0 1 0 0 56 24 24 15.8653846153846 338.461538461538 0 0 4.09916360632986e-09
+4 0 1 0 0 60 24 24 15.8653846153846 380.769230769231 0 0 3.48675254553923e-09
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+4 0 1 0 0 72 24 24 15.8653846153846 507.692307692308 0 0 2.01460053832299e-09
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+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 3.92274644248691e-11
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 232 24 24 31.7307692307692 2200 0 0 5.03041361690128e-15
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 3.92264530220362e-11
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 78 24 24 31.7307692307692 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.49723216524237e-09
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 3.92254241391554e-11
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 76 24 24 47.5961538461538 550 7.105427357601e-15 7.105427357601e-15 1.65049933807314e-09
+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.4971771180696e-09
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 5.03041361690128e-15
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 136 24 24 63.4615384615385 1184.61538461538 0 0 4.96955892773583e-11
+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 3.92243952562747e-11
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 72 24 24 63.4615384615385 507.692307692308 7.105427357601e-15 7.105427357601e-15 2.01435364143374e-09
+16 0 2 0 0 74 24 24 63.4615384615385 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.83239515571684e-09
+16 0 2 0 0 76 24 24 63.4615384615385 550 7.105427357601e-15 7.105427357601e-15 1.65043666999994e-09
+16 0 2 0 0 78 24 24 63.4615384615385 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.49712193094671e-09
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+16 0 2 0 0 82 24 24 63.4615384615385 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.21604207991301e-09
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 1 0 0 140 24 24 95.1923076923077 1226.92307692308 0 0 3.92223025437586e-11
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/dens.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/dens.y.asc
new file mode 100644
index 000000000..bbd91fce8
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/dens.y.asc
@@ -0,0 +1,864 @@
+# WHISKY::dens y (dens)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 5.43543735399151e-09
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 6.74012576465668e-09
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+0 0 0 0 0 24 24 24 0 0 0 0 8.0827742773283e-09
+0 0 0 0 0 24 32 24 0 0 84.6153846153846 0 7.71789016560934e-09
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+0 0 0 0 0 24 192 24 0 0 1776.92307692308 0 1.7954131951494e-13
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+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 5.03163336080469e-15
+0 0 0 0 0 24 232 24 0 0 2200 0 5.03041361690128e-15
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 7.28994583384591e-09
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 7.71789016560934e-09
+0 0 1 0 0 24 20 24 0 0 -42.3076923076923 0 7.9898276643521e-09
+0 0 1 0 0 24 24 24 0 0 0 0 8.0827742773283e-09
+0 0 1 0 0 24 28 24 0 0 42.3076923076923 0 7.9898276643521e-09
+0 0 1 0 0 24 32 24 0 0 84.6153846153846 0 7.71789016560934e-09
+0 0 1 0 0 24 36 24 0 0 126.923076923077 0 7.28994583384591e-09
+0 0 1 0 0 24 40 24 0 0 169.230769230769 0 6.74012576465668e-09
+0 0 1 0 0 24 44 24 0 0 211.538461538462 0 6.10887999465679e-09
+0 0 1 0 0 24 48 24 0 0 253.846153846154 0 5.43543735399151e-09
+0 0 1 0 0 24 52 24 0 0 296.153846153846 0 4.75584427094423e-09
+0 0 1 0 0 24 56 24 0 0 338.461538461538 0 4.09927141725538e-09
+0 0 1 0 0 24 60 24 0 0 380.769230769231 0 3.48683998556332e-09
+0 0 1 0 0 24 64 24 0 0 423.076923076923 0 2.93217646318914e-09
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+0 0 1 0 0 24 72 24 0 0 507.692307692308 0 2.01468284958679e-09
+0 0 1 0 0 24 76 24 0 0 550 0 1.65068664980569e-09
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+0 0 1 0 0 24 88 24 0 0 676.923076923077 0 8.77298286384696e-10
+0 0 1 0 0 24 92 24 0 0 719.230769230769 0 7.0425966975387e-10
+0 0 1 0 0 24 96 24 0 0 761.538461538462 0 5.63284596916628e-10
+0 0 1 0 0 24 100 24 0 0 803.846153846154 0 4.49031030938531e-10
+0 0 1 0 0 24 104 24 0 0 846.153846153846 0 3.56795557251268e-10
+0 0 1 0 0 24 108 24 0 0 888.461538461538 0 2.89972060781339e-10
+0 0 1 0 0 24 112 24 0 0 930.769230769231 0 2.2314856431141e-10
+0 0 1 0 0 24 116 24 0 0 973.076923076923 0 1.8041528217931e-10
+0 0 1 0 0 24 120 24 0 0 1015.38461538462 0 1.37682000047211e-10
+0 0 1 0 0 24 124 24 0 0 1057.69230769231 0 1.1063148614201e-10
+0 0 1 0 0 24 128 24 0 0 1100 0 8.3580972236809e-11
+0 0 1 0 0 24 132 24 0 0 1142.30769230769 0 6.66409609656658e-11
+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 4.97009496945225e-11
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 3.9228475827702e-11
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 18 24 0 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 7.87510965786759e-09
+0 0 2 0 0 24 20 24 0 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 7.9898276643521e-09
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+0 0 2 0 0 24 28 24 0 7.105427357601e-15 42.3076923076923 7.105427357601e-15 7.9898276643521e-09
+0 0 2 0 0 24 30 24 0 7.105427357601e-15 63.4615384615385 7.105427357601e-15 7.87510965786759e-09
+0 0 2 0 0 24 32 24 0 7.105427357601e-15 84.6153846153846 7.105427357601e-15 7.71789016560934e-09
+0 0 2 0 0 24 34 24 0 7.105427357601e-15 105.769230769231 7.105427357601e-15 7.52150211583689e-09
+0 0 2 0 0 24 36 24 0 7.105427357601e-15 126.923076923077 7.105427357601e-15 7.28994583384591e-09
+0 0 2 0 0 24 38 24 0 7.105427357601e-15 148.076923076923 7.105427357601e-15 7.02777604175619e-09
+0 0 2 0 0 24 40 24 0 7.105427357601e-15 169.230769230769 7.105427357601e-15 6.74012576465668e-09
+0 0 2 0 0 24 42 24 0 7.105427357601e-15 190.384615384615 7.105427357601e-15 6.43238977501879e-09
+0 0 2 0 0 24 44 24 0 7.105427357601e-15 211.538461538462 7.105427357601e-15 6.10887999465679e-09
+0 0 2 0 0 24 46 24 0 7.105427357601e-15 232.692307692308 7.105427357601e-15 5.77465427821931e-09
+0 0 2 0 0 24 48 24 0 7.105427357601e-15 253.846153846154 7.105427357601e-15 5.43543735399151e-09
+0 0 2 0 0 24 50 24 0 7.105427357601e-15 275 7.105427357601e-15 5.09398972756148e-09
+0 0 2 0 0 24 52 24 0 7.105427357601e-15 296.153846153846 7.105427357601e-15 4.75584427094423e-09
+0 0 2 0 0 24 54 24 0 7.105427357601e-15 317.307692307692 7.105427357601e-15 4.42288017633232e-09
+0 0 2 0 0 24 56 24 0 7.105427357601e-15 338.461538461538 7.105427357601e-15 4.09927141725538e-09
+0 0 2 0 0 24 58 24 0 7.105427357601e-15 359.615384615385 7.105427357601e-15 3.78662661058231e-09
+0 0 2 0 0 24 60 24 0 7.105427357601e-15 380.769230769231 7.105427357601e-15 3.48683998556332e-09
+0 0 2 0 0 24 62 24 0 7.105427357601e-15 401.923076923077 7.105427357601e-15 3.20179244130334e-09
+0 0 2 0 0 24 64 24 0 7.105427357601e-15 423.076923076923 7.105427357601e-15 2.93217646318914e-09
+0 0 2 0 0 24 66 24 0 7.105427357601e-15 444.230769230769 7.105427357601e-15 2.68657761996525e-09
+0 0 2 0 0 24 68 24 0 7.105427357601e-15 465.384615384615 7.105427357601e-15 2.44097877674135e-09
+0 0 2 0 0 24 70 24 0 7.105427357601e-15 486.538461538462 7.105427357601e-15 2.22783081316407e-09
+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 2.01468284958679e-09
+0 0 2 0 0 24 74 24 0 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.83268474969624e-09
+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 1.65068664980569e-09
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.49734179939408e-09
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.34399694898247e-09
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.21620782574944e-09
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 7.28970418554657e-09
+4 0 1 0 0 24 16 24 15.8653846153846 0 -84.6153846153846 0 7.71761389194582e-09
+4 0 1 0 0 24 20 24 15.8653846153846 0 -42.3076923076923 0 7.98953996278996e-09
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 8.08235384499349e-09
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+4 0 1 0 0 24 32 24 15.8653846153846 0 84.6153846153846 0 7.71761389194582e-09
+4 0 1 0 0 24 36 24 15.8653846153846 0 126.923076923077 0 7.28970418554657e-09
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+4 0 1 0 0 24 48 24 15.8653846153846 0 253.846153846154 0 5.43527464918384e-09
+4 0 1 0 0 24 52 24 15.8653846153846 0 296.153846153846 0 4.75570967292121e-09
+4 0 1 0 0 24 56 24 15.8653846153846 0 338.461538461538 0 4.09916360632986e-09
+4 0 1 0 0 24 60 24 15.8653846153846 0 380.769230769231 0 3.48675254553923e-09
+4 0 1 0 0 24 64 24 15.8653846153846 0 423.076923076923 0 2.93210880519621e-09
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+4 0 1 0 0 24 72 24 15.8653846153846 0 507.692307692308 0 2.01460053832299e-09
+4 0 1 0 0 24 76 24 15.8653846153846 0 550 0 1.6506243395428e-09
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+4 0 1 0 0 24 92 24 15.8653846153846 0 719.230769230769 0 7.04240264911869e-10
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+4 0 1 0 0 24 100 24 15.8653846153846 0 803.846153846154 0 4.49020654699987e-10
+4 0 1 0 0 24 104 24 15.8653846153846 0 846.153846153846 0 3.56787857762765e-10
+4 0 1 0 0 24 108 24 15.8653846153846 0 888.461538461538 0 2.89959531388013e-10
+4 0 1 0 0 24 112 24 15.8653846153846 0 930.769230769231 0 2.23139796723716e-10
+4 0 1 0 0 24 116 24 15.8653846153846 0 973.076923076923 0 1.80408540906153e-10
+4 0 1 0 0 24 120 24 15.8653846153846 0 1015.38461538462 0 1.3767728508859e-10
+4 0 1 0 0 24 124 24 15.8653846153846 0 1057.69230769231 0 1.10627873754824e-10
+4 0 1 0 0 24 128 24 15.8653846153846 0 1100 0 8.35784624210575e-11
+4 0 1 0 0 24 132 24 15.8653846153846 0 1142.30769230769 0 6.66390416338438e-11
+4 0 1 0 0 24 136 24 15.8653846153846 0 1184.61538461538 0 4.969962084663e-11
+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 3.92274644248691e-11
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 18 24 15.8653846153846 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 7.87482034981557e-09
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+4 0 2 0 0 24 26 24 15.8653846153846 7.105427357601e-15 21.1538461538462 7.105427357601e-15 8.05933254650401e-09
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+4 0 2 0 0 24 30 24 15.8653846153846 7.105427357601e-15 63.4615384615385 7.105427357601e-15 7.87482034981557e-09
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+4 0 2 0 0 24 50 24 15.8653846153846 7.105427357601e-15 275 7.105427357601e-15 5.09384309918345e-09
+4 0 2 0 0 24 52 24 15.8653846153846 7.105427357601e-15 296.153846153846 7.105427357601e-15 4.75570967292121e-09
+4 0 2 0 0 24 54 24 15.8653846153846 7.105427357601e-15 317.307692307692 7.105427357601e-15 4.4227578128193e-09
+4 0 2 0 0 24 56 24 15.8653846153846 7.105427357601e-15 338.461538461538 7.105427357601e-15 4.09916360632986e-09
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+4 0 2 0 0 24 62 24 15.8653846153846 7.105427357601e-15 401.923076923077 7.105427357601e-15 3.20171726676889e-09
+4 0 2 0 0 24 64 24 15.8653846153846 7.105427357601e-15 423.076923076923 7.105427357601e-15 2.93210880519621e-09
+4 0 2 0 0 24 66 24 15.8653846153846 7.105427357601e-15 444.230769230769 7.105427357601e-15 2.68648946783091e-09
+4 0 2 0 0 24 68 24 15.8653846153846 7.105427357601e-15 465.384615384615 7.105427357601e-15 2.44087013046562e-09
+4 0 2 0 0 24 70 24 15.8653846153846 7.105427357601e-15 486.538461538462 7.105427357601e-15 2.22773533439431e-09
+4 0 2 0 0 24 72 24 15.8653846153846 7.105427357601e-15 507.692307692308 7.105427357601e-15 2.01460053832299e-09
+4 0 2 0 0 24 74 24 15.8653846153846 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.8326124389329e-09
+4 0 2 0 0 24 76 24 15.8653846153846 7.105427357601e-15 550 7.105427357601e-15 1.6506243395428e-09
+4 0 2 0 0 24 78 24 15.8653846153846 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.49728706252711e-09
+4 0 2 0 0 24 80 24 15.8653846153846 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.34394978551142e-09
+4 0 2 0 0 24 82 24 15.8653846153846 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.2161666867933e-09
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 24 8 24 31.7307692307692 0 -169.230769230769 0 6.73969329736274e-09
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+8 0 0 0 0 24 40 24 31.7307692307692 0 169.230769230769 0 6.73969329736274e-09
+8 0 0 0 0 24 48 24 31.7307692307692 0 253.846153846154 0 5.43511331149108e-09
+8 0 0 0 0 24 56 24 31.7307692307692 0 338.461538461539 0 4.09905590939459e-09
+8 0 0 0 0 24 64 24 31.7307692307692 0 423.076923076923 0 2.93204344578879e-09
+8 0 0 0 0 24 72 24 31.7307692307692 0 507.692307692308 0 2.01451822571297e-09
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+8 0 0 0 0 24 88 24 31.7307692307692 0 676.923076923077 0 8.77246257124801e-10
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+8 0 0 0 0 24 104 24 31.7307692307692 0 846.153846153846 0 3.56780181693544e-10
+8 0 0 0 0 24 112 24 31.7307692307692 0 930.769230769231 0 2.23131029136021e-10
+8 0 0 0 0 24 120 24 31.7307692307692 0 1015.38461538462 0 1.3767257012997e-10
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 24 140 24 31.7307692307692 0 1226.92307692308 0 3.92264530220362e-11
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 3.92254241391554e-11
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 3.92243952562747e-11
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 140 24 79.3269230769231 0 1226.92307692308 0 3.92233489000166e-11
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 140 24 111.057692307692 0 1226.92307692308 0 3.92212387153523e-11
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 4.58848870391985e-09
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/dens.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/dens.z.asc
new file mode 100644
index 000000000..9b6305af1
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/dens.z.asc
@@ -0,0 +1,864 @@
+# WHISKY::dens z (dens)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 5.43543735399152e-09
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 6.74012576465668e-09
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 7.71789016560935e-09
+0 0 0 0 0 24 24 24 0 0 0 0 8.0827742773283e-09
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+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 6.74012576465668e-09
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+0 0 0 0 0 24 24 232 0 0 0 2200 5.03041361690128e-15
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 3.9228475827702e-11
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 2 0 0 24 24 28 0 7.105427357601e-15 7.105427357601e-15 42.3076923076923 7.9898276643521e-09
+0 0 2 0 0 24 24 30 0 7.105427357601e-15 7.105427357601e-15 63.4615384615385 7.87510965786759e-09
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+0 0 2 0 0 24 24 38 0 7.105427357601e-15 7.105427357601e-15 148.076923076923 7.0277760417562e-09
+0 0 2 0 0 24 24 40 0 7.105427357601e-15 7.105427357601e-15 169.230769230769 6.74012576465668e-09
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+0 0 2 0 0 24 24 46 0 7.105427357601e-15 7.105427357601e-15 232.692307692308 5.77465427821931e-09
+0 0 2 0 0 24 24 48 0 7.105427357601e-15 7.105427357601e-15 253.846153846154 5.43543735399152e-09
+0 0 2 0 0 24 24 50 0 7.105427357601e-15 7.105427357601e-15 275 5.09398972756149e-09
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+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 2.01468284958679e-09
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+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 1.65068664980569e-09
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.49734179939408e-09
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+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.21620782574944e-09
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 1 0 0 24 24 124 15.8653846153846 0 0 1057.69230769231 1.10627873754824e-10
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+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 3.92274644248691e-11
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 2 0 0 24 24 70 15.8653846153846 7.105427357601e-15 7.105427357601e-15 486.538461538462 2.22773533439431e-09
+4 0 2 0 0 24 24 72 15.8653846153846 7.105427357601e-15 7.105427357601e-15 507.692307692308 2.014600538323e-09
+4 0 2 0 0 24 24 74 15.8653846153846 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.8326124389329e-09
+4 0 2 0 0 24 24 76 15.8653846153846 7.105427357601e-15 7.105427357601e-15 550 1.65062433954281e-09
+4 0 2 0 0 24 24 78 15.8653846153846 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.49728706252711e-09
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 24 24 8 31.7307692307692 0 0 -169.230769230769 6.73969329736274e-09
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+8 0 0 0 0 24 24 208 31.7307692307692 0 0 1946.15384615385 5.03696489336767e-15
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+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 5.03041361690128e-15
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 24 12 31.7307692307692 0 0 -126.923076923077 7.28946744876755e-09
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+8 0 1 0 0 24 24 120 31.7307692307692 0 0 1015.38461538462 1.3767257012997e-10
+8 0 1 0 0 24 24 124 31.7307692307692 0 0 1057.69230769231 1.10624261367638e-10
+8 0 1 0 0 24 24 128 31.7307692307692 0 0 1100 8.3575952605306e-11
+8 0 1 0 0 24 24 132 31.7307692307692 0 0 1142.30769230769 6.66371223020218e-11
+8 0 1 0 0 24 24 136 31.7307692307692 0 0 1184.61538461538 4.96982919987376e-11
+8 0 1 0 0 24 24 140 31.7307692307692 0 0 1226.92307692308 3.92264530220362e-11
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 24 58 31.7307692307692 7.105427357601e-15 7.105427357601e-15 359.615384615385 3.78643068533285e-09
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+8 0 2 0 0 24 24 68 31.7307692307692 7.105427357601e-15 7.105427357601e-15 465.384615384615 2.4407603206494e-09
+8 0 2 0 0 24 24 70 31.7307692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 2.22763927318118e-09
+8 0 2 0 0 24 24 72 31.7307692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 2.01451822571297e-09
+8 0 2 0 0 24 24 74 31.7307692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.83254006192326e-09
+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 1.65056189813354e-09
+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.49723216524237e-09
+8 0 2 0 0 24 24 80 31.7307692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.34390243235119e-09
+8 0 2 0 0 24 24 82 31.7307692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.21612534738421e-09
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 24 12 47.5961538461538 0 0 -126.923076923077 7.28923562434147e-09
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+12 0 1 0 0 24 24 108 47.5961538461538 0 0 888.461538461538 2.89942745049983e-10
+12 0 1 0 0 24 24 112 47.5961538461538 0 0 930.769230769231 2.23121874568676e-10
+12 0 1 0 0 24 24 116 47.5961538461538 0 0 973.076923076923 1.80394833839524e-10
+12 0 1 0 0 24 24 120 47.5961538461538 0 0 1015.38461538462 1.37667793110371e-10
+12 0 1 0 0 24 24 124 47.5961538461538 0 0 1057.69230769231 1.10620598087714e-10
+12 0 1 0 0 24 24 128 47.5961538461538 0 0 1100 8.35734030650565e-11
+12 0 1 0 0 24 24 132 47.5961538461538 0 0 1142.30769230769 6.66351718515522e-11
+12 0 1 0 0 24 24 136 47.5961538461538 0 0 1184.61538461538 4.9696940638048e-11
+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 3.92254241391554e-11
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 24 18 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 7.87427385510596e-09
+12 0 2 0 0 24 24 20 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 7.98899930666212e-09
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+12 0 2 0 0 24 24 54 47.5961538461538 7.105427357601e-15 7.105427357601e-15 317.307692307692 4.42251908995839e-09
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+12 0 2 0 0 24 24 64 47.5961538461538 7.105427357601e-15 7.105427357601e-15 423.076923076923 2.93197948191471e-09
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+12 0 2 0 0 24 24 68 47.5961538461538 7.105427357601e-15 7.105427357601e-15 465.384615384615 2.4406494652171e-09
+12 0 2 0 0 24 24 70 47.5961538461538 7.105427357601e-15 7.105427357601e-15 486.538461538462 2.22754269402515e-09
+12 0 2 0 0 24 24 72 47.5961538461538 7.105427357601e-15 7.105427357601e-15 507.692307692308 2.01443592283321e-09
+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.83246763045318e-09
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 1.65049933807314e-09
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.49717711806961e-09
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.34385489806607e-09
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.21608380950393e-09
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 24 160 63.4615384615385 0 0 1438.46153846154 8.48770260751045e-12
+16 0 0 0 0 24 24 168 63.4615384615385 0 0 1523.07692307692 4.17453938388738e-12
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+16 0 0 0 0 24 24 184 63.4615384615385 0 0 1692.30769230769 6.76940364953773e-13
+16 0 0 0 0 24 24 192 63.4615384615385 0 0 1776.92307692308 1.79515241170838e-13
+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 2.16767578266361e-14
+16 0 0 0 0 24 24 208 63.4615384615385 0 0 1946.15384615385 5.03950241503971e-15
+16 0 0 0 0 24 24 216 63.4615384615385 0 0 2030.76923076923 5.03295502815436e-15
+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 5.03163336080469e-15
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 5.03041361690128e-15
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 7.28900940223128e-09
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+16 0 1 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 3.56765318453591e-10
+16 0 1 0 0 24 24 108 63.4615384615385 0 0 888.461538461538 2.89939019227461e-10
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+16 0 1 0 0 24 24 116 63.4615384615385 0 0 973.076923076923 1.80387868046051e-10
+16 0 1 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 1.37663016090772e-10
+16 0 1 0 0 24 24 124 63.4615384615385 0 0 1057.69230769231 1.1061693480779e-10
+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 8.3570853524807e-11
+16 0 1 0 0 24 24 132 63.4615384615385 0 0 1142.30769230769 6.66332214010827e-11
+16 0 1 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 4.96955892773583e-11
+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 3.92243952562747e-11
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 24 24 60 63.4615384615385 7.105427357601e-15 7.105427357601e-15 380.769230769231 3.48649196598834e-09
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+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 2.01435364143374e-09
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+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 1.65043666999994e-09
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.49712193094671e-09
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+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.21604207991301e-09
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 24 108 79.3269230769231 0 0 888.461538461538 2.89925840776038e-10
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+20 0 1 0 0 24 24 116 79.3269230769231 0 0 973.076923076923 1.80380687025128e-10
+20 0 1 0 0 24 24 120 79.3269230769231 0 0 1015.38461538462 1.37658174878837e-10
+20 0 1 0 0 24 24 124 79.3269230769231 0 0 1057.69230769231 1.10613219606308e-10
+20 0 1 0 0 24 24 128 79.3269230769231 0 0 1100 8.35682643337786e-11
+20 0 1 0 0 24 24 132 79.3269230769231 0 0 1142.30769230769 6.66312398732005e-11
+20 0 1 0 0 24 24 136 79.3269230769231 0 0 1184.61538461538 4.96942154126225e-11
+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 3.92233489000166e-11
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 2 0 0 24 24 68 79.3269230769231 7.105427357601e-15 7.105427357601e-15 465.384615384615 2.44042496985564e-09
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+20 0 2 0 0 24 24 72 79.3269230769231 7.105427357601e-15 7.105427357601e-15 507.692307692308 2.01427138665378e-09
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+20 0 2 0 0 24 24 76 79.3269230769231 7.105427357601e-15 7.105427357601e-15 550 1.65037389946242e-09
+20 0 2 0 0 24 24 78 79.3269230769231 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.49706660790392e-09
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+20 0 2 0 0 24 24 82 79.3269230769231 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.21600016387078e-09
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 3 0 0 24 24 21 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -31.7307692307692 8.02339279096313e-09
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+20 0 3 0 0 24 24 51 79.3269230769231 7.105427357601e-15 7.105427357601e-15 285.576923076923 4.92422810114786e-09
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 0 0 0 24 24 232 95.1923076923077 0 0 2200 5.03041361690128e-15
+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 4.58848870391986e-09
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/dens_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/dens_maximum.xg
new file mode 100644
index 000000000..64784c9df
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/dens_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::dens
+"dens v time
+0.0000000000000e+00 8.0827742773283e-09
+7.9326923076923e+00 8.0825632755749e-09
+1.5865384615385e+01 8.0823538449935e-09
+2.3798076923077e+01 8.0821461799387e-09
+3.1730769230769e+01 8.0819401945140e-09
+3.9663461538462e+01 8.0817358559813e-09
+4.7596153846154e+01 8.0815333579553e-09
+5.5528846153846e+01 8.0813328324487e-09
+6.3461538461538e+01 8.0811343955210e-09
+7.1394230769231e+01 8.0809383944907e-09
+7.5360576923077e+01 8.0807400846641e-09
+7.9326923076923e+01 8.0805436472562e-09
+8.3293269230769e+01 8.0803486997119e-09
+8.7259615384615e+01 8.0801558478014e-09
+9.1225961538462e+01 8.0799651921463e-09
+9.5192307692308e+01 8.0797767570884e-09
+9.9158653846154e+01 8.0795905839439e-09
+1.0312500000000e+02 8.0794067235270e-09
+1.0709134615385e+02 8.0792252220451e-09
+1.1105769230769e+02 8.0790461155286e-09
+1.1502403846154e+02 8.0788694283563e-09
+1.1899038461538e+02 8.0786951762641e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/dens_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/dens_minimum.xg
new file mode 100644
index 000000000..a961a9f39
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/dens_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::dens
+"dens v time
+0.0000000000000e+00 5.0175405556133e-15
+7.9326923076923e+00 1.9725177405204e-10
+1.5865384615385e+01 5.0397825355025e-15
+2.3798076923077e+01 1.9725172221798e-10
+3.1730769230769e+01 5.0175405556133e-15
+3.9663461538462e+01 1.9725161804896e-10
+4.7596153846154e+01 5.0491013221568e-15
+5.5528846153846e+01 1.9725146162334e-10
+6.3461538461538e+01 5.0175405556133e-15
+7.1394230769231e+01 1.9725125312994e-10
+7.5360576923077e+01 2.3246708153466e-09
+7.9326923076923e+01 5.0584570337803e-15
+8.3293269230769e+01 2.3246709249034e-09
+8.7259615384615e+01 1.9725099273348e-10
+9.1225961538462e+01 2.3246710612468e-09
+9.5192307692308e+01 5.0175405556133e-15
+9.9158653846154e+01 2.3246712102491e-09
+1.0312500000000e+02 1.9725068052136e-10
+1.0709134615385e+02 2.3246713581478e-09
+1.1105769230769e+02 5.0678497808530e-15
+1.1502403846154e+02 2.3246714992076e-09
+1.1899038461538e+02 1.9725031630871e-10
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/dens_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/dens_norm1.xg
new file mode 100644
index 000000000..8d99db78f
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/dens_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::dens
+"dens v time
+0.0000000000000e+00 1.3991960934363e-10
+7.9326923076923e+00 2.5057564194784e-09
+1.5865384615385e+01 6.3574441194844e-10
+2.3798076923077e+01 2.5057569202795e-09
+3.1730769230769e+01 1.3991813996437e-10
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+4.7596153846154e+01 6.3574184360405e-10
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+6.3461538461538e+01 1.3991679072637e-10
+7.1394230769231e+01 2.5057624815470e-09
+7.5360576923077e+01 5.4541031248561e-09
+7.9326923076923e+01 6.3573934322522e-10
+8.3293269230769e+01 5.4541111544371e-09
+8.7259615384615e+01 2.5057604290243e-09
+9.1225961538462e+01 5.4541201080893e-09
+9.5192307692308e+01 1.3991511585221e-10
+9.9158653846154e+01 5.4541299759615e-09
+1.0312500000000e+02 2.5057596969903e-09
+1.0709134615385e+02 5.4541407531718e-09
+1.1105769230769e+02 6.3573606177206e-10
+1.1502403846154e+02 5.4541524356831e-09
+1.1899038461538e+02 2.5057600951651e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/dens_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/dens_norm2.xg
new file mode 100644
index 000000000..a71d77928
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/dens_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::dens
+"dens v time
+0.0000000000000e+00 6.7612322732940e-10
+7.9326923076923e+00 3.0788013267797e-09
+1.5865384615385e+01 1.4378283768030e-09
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+7.1394230769231e+01 3.0788157855131e-09
+7.5360576923077e+01 5.5917773792543e-09
+7.9326923076923e+01 1.4378099988991e-09
+8.3293269230769e+01 5.5917863939472e-09
+8.7259615384615e+01 3.0788111599261e-09
+9.1225961538462e+01 5.5917964396056e-09
+9.5192307692308e+01 6.7609169153837e-10
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+1.0312500000000e+02 3.0788095529831e-09
+1.0709134615385e+02 5.5918195865846e-09
+1.1105769230769e+02 1.4377978897967e-09
+1.1502403846154e+02 5.5918326786019e-09
+1.1899038461538e+02 3.0788105289078e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/eps.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/eps.x.asc
new file mode 100644
index 000000000..1262d853f
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/eps.x.asc
@@ -0,0 +1,864 @@
+# WHISKY::eps x (eps)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 0.00496509278610408
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 0.00533152345777303
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+0 0 0 0 0 232 24 24 0 2200 0 0 4.8734314480286e-05
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 0.00547166031788638
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+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 0.000964885411673471
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0.0056132119991413
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+0 0 2 0 0 28 24 24 0 42.3076923076923 7.105427357601e-15 7.105427357601e-15 0.005640126749781
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+0 0 2 0 0 46 24 24 0 232.692307692308 7.105427357601e-15 7.105427357601e-15 0.0050655976314375
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+0 0 2 0 0 52 24 24 0 296.153846153846 7.105427357601e-15 7.105427357601e-15 0.00475030079108768
+0 0 2 0 0 54 24 24 0 317.307692307692 7.105427357601e-15 7.105427357601e-15 0.00463747524279115
+0 0 2 0 0 56 24 24 0 338.461538461538 7.105427357601e-15 7.105427357601e-15 0.00452221873262075
+0 0 2 0 0 58 24 24 0 359.615384615385 7.105427357601e-15 7.105427357601e-15 0.0044049151552829
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 0.00096487712019368
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 232 24 24 31.7307692307692 2200 0 0 4.87343165667463e-05
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 0.000964868830440612
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 82 24 24 31.7307692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 0.00302239085895409
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 12 24 24 47.5961538461538 -126.923076923077 0 0 0.00547148264875049
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+12 0 1 0 0 128 24 24 47.5961538461538 1100 0 0 0.001241053307661
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+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 0.000964860398878014
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 18 24 24 47.5961538461538 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0.00561301341900943
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+12 0 2 0 0 68 24 24 47.5961538461538 465.384615384615 7.105427357601e-15 7.105427357601e-15 0.00380815941891054
+12 0 2 0 0 70 24 24 47.5961538461538 486.538461538462 7.105427357601e-15 7.105427357601e-15 0.0036945364010893
+12 0 2 0 0 72 24 24 47.5961538461538 507.692307692308 7.105427357601e-15 7.105427357601e-15 0.00357332869598864
+12 0 2 0 0 74 24 24 47.5961538461538 528.846153846154 7.105427357601e-15 7.105427357601e-15 0.00346287520266861
+12 0 2 0 0 76 24 24 47.5961538461538 550 7.105427357601e-15 7.105427357601e-15 0.0033447606548499
+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 0.00323830904702123
+12 0 2 0 0 80 24 24 47.5961538461538 592.307692307692 7.105427357601e-15 7.105427357601e-15 0.00312423747736922
+12 0 2 0 0 82 24 24 47.5961538461538 613.461538461538 7.105427357601e-15 7.105427357601e-15 0.00302235646624337
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 0 24 24 63.4615384615385 -253.846153846154 0 0 0.00496489720978634
+16 0 0 0 0 8 24 24 63.4615384615385 -169.230769230769 0 0 0.00533130125457295
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+16 0 0 0 0 56 24 24 63.4615384615385 338.461538461539 0 0 0.00452206051440542
+16 0 0 0 0 64 24 24 63.4615384615385 423.076923076923 0 0 0.0040468752572731
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+16 0 0 0 0 200 24 24 63.4615384615385 1861.53846153846 0 0 7.92754806484622e-05
+16 0 0 0 0 208 24 24 63.4615384615385 1946.15384615385 0 0 4.87507992318049e-05
+16 0 0 0 0 216 24 24 63.4615384615385 2030.76923076923 0 0 4.87343145787367e-05
+16 0 0 0 0 224 24 24 63.4615384615385 2115.38461538462 0 0 4.87343144338549e-05
+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 4.87343171567754e-05
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 12 24 24 63.4615384615385 -126.923076923077 0 0 0.00547142610496203
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+16 0 1 0 0 40 24 24 63.4615384615385 169.230769230769 0 0 0.00533130125457295
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+16 0 1 0 0 112 24 24 63.4615384615385 930.769230769231 0 0 0.00172048749445877
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+16 0 1 0 0 120 24 24 63.4615384615385 1015.38461538462 0 0 0.00146522414077766
+16 0 1 0 0 124 24 24 63.4615384615385 1057.69230769231 0 0 0.00136241399301003
+16 0 1 0 0 128 24 24 63.4615384615385 1100 0 0 0.00124104069790963
+16 0 1 0 0 132 24 24 63.4615384615385 1142.30769230769 0 0 0.00115095882925912
+16 0 1 0 0 136 24 24 63.4615384615385 1184.61538461538 0 0 0.00104390288545717
+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 0.000964851968895423
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 18 24 24 63.4615384615385 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0.00561295206486869
+16 0 2 0 0 20 24 24 63.4615384615385 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 0.00563987127274308
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+16 0 2 0 0 52 24 24 63.4615384615385 296.153846153846 7.105427357601e-15 7.105427357601e-15 0.00475012289004321
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+16 0 2 0 0 64 24 24 63.4615384615385 423.076923076923 7.105427357601e-15 7.105427357601e-15 0.0040468752572731
+16 0 2 0 0 66 24 24 63.4615384615385 444.230769230769 7.105427357601e-15 7.105427357601e-15 0.00393117488221248
+16 0 2 0 0 68 24 24 63.4615384615385 465.384615384615 7.105427357601e-15 7.105427357601e-15 0.00380810129446785
+16 0 2 0 0 70 24 24 63.4615384615385 486.538461538462 7.105427357601e-15 7.105427357601e-15 0.00369448277270441
+16 0 2 0 0 72 24 24 63.4615384615385 507.692307692308 7.105427357601e-15 7.105427357601e-15 0.00357328006678335
+16 0 2 0 0 74 24 24 63.4615384615385 528.846153846154 7.105427357601e-15 7.105427357601e-15 0.0034628295714708
+16 0 2 0 0 76 24 24 63.4615384615385 550 7.105427357601e-15 7.105427357601e-15 0.00334471834214284
+16 0 2 0 0 78 24 24 63.4615384615385 571.153846153846 7.105427357601e-15 7.105427357601e-15 0.00323826927497237
+16 0 2 0 0 80 24 24 63.4615384615385 592.307692307692 7.105427357601e-15 7.105427357601e-15 0.00312420052280119
+16 0 2 0 0 82 24 24 63.4615384615385 613.461538461538 7.105427357601e-15 7.105427357601e-15 0.00302232191460323
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 12 24 24 79.3269230769231 -126.923076923077 0 0 0.00547134190732325
+20 0 1 0 0 16 24 24 79.3269230769231 -84.6153846153846 0 0 0.005575550503131
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
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+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 0.00469427883342818
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/eps.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/eps.y.asc
new file mode 100644
index 000000000..cf242323f
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/eps.y.asc
@@ -0,0 +1,864 @@
+# WHISKY::eps y (eps)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 0.00496509278610408
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 0.00533152345777303
+0 0 0 0 0 24 16 24 0 0 -84.6153846153846 0 0.00557589444669855
+0 0 0 0 0 24 24 24 0 0 0 0 0.00566174381376191
+0 0 0 0 0 24 32 24 0 0 84.6153846153846 0 0.00557589444669855
+0 0 0 0 0 24 40 24 0 0 169.230769230769 0 0.00533152345777303
+0 0 0 0 0 24 48 24 0 0 253.846153846154 0 0.00496509278610408
+0 0 0 0 0 24 56 24 0 0 338.461538461539 0 0.00452221873262075
+0 0 0 0 0 24 64 24 0 0 423.076923076923 0 0.00404699468136095
+0 0 0 0 0 24 72 24 0 0 507.692307692308 0 0.0035734746345939
+0 0 0 0 0 24 80 24 0 0 592.307692307692 0 0.00312434752306212
+0 0 0 0 0 24 88 24 0 0 676.923076923077 0 0.0027118056866173
+0 0 0 0 0 24 96 24 0 0 761.538461538462 0 0.00234068769430453
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+0 0 0 0 0 24 112 24 0 0 930.769230769231 0 0.00172057958098198
+0 0 0 0 0 24 120 24 0 0 1015.38461538462 0 0.00146529145788314
+0 0 0 0 0 24 128 24 0 0 1100 0 0.00124109075878956
+0 0 0 0 0 24 136 24 0 0 1184.61538461538 0 0.00104394040062157
+0 0 0 0 0 24 144 24 0 0 1269.23076923077 0 0.000870100202561497
+0 0 0 0 0 24 152 24 0 0 1353.84615384615 0 0.000716269022229459
+0 0 0 0 0 24 160 24 0 0 1438.46153846154 0 0.00057957791106431
+0 0 0 0 0 24 168 24 0 0 1523.07692307692 0 0.000457570767162135
+0 0 0 0 0 24 176 24 0 0 1607.69230769231 0 0.000348162598180796
+0 0 0 0 0 24 184 24 0 0 1692.30769230769 0 0.00024959285257593
+0 0 0 0 0 24 192 24 0 0 1776.92307692308 0 0.000160378522975001
+0 0 0 0 0 24 200 24 0 0 1861.53846153846 0 7.9271673790869e-05
+0 0 0 0 0 24 208 24 0 0 1946.15384615385 0 4.8734314480286e-05
+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 4.8734314480286e-05
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 4.8734314480286e-05
+0 0 0 0 0 24 232 24 0 0 2200 0 4.8734314480286e-05
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 0.00547166031788638
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 0.00557589444669855
+0 0 1 0 0 24 20 24 0 0 -42.3076923076923 0 0.005640126749781
+0 0 1 0 0 24 24 24 0 0 0 0 0.00566174381376191
+0 0 1 0 0 24 28 24 0 0 42.3076923076923 0 0.005640126749781
+0 0 1 0 0 24 32 24 0 0 84.6153846153846 0 0.00557589444669855
+0 0 1 0 0 24 36 24 0 0 126.923076923077 0 0.00547166031788638
+0 0 1 0 0 24 40 24 0 0 169.230769230769 0 0.00533152345777303
+0 0 1 0 0 24 44 24 0 0 211.538461538462 0 0.00516081838262419
+0 0 1 0 0 24 48 24 0 0 253.846153846154 0 0.00496509278610408
+0 0 1 0 0 24 52 24 0 0 296.153846153846 0 0.00475030079108768
+0 0 1 0 0 24 56 24 0 0 338.461538461538 0 0.00452221873262075
+0 0 1 0 0 24 60 24 0 0 380.769230769231 0 0.00428616609237867
+0 0 1 0 0 24 64 24 0 0 423.076923076923 0 0.00404699468136095
+0 0 1 0 0 24 68 24 0 0 465.384615384615 0 0.00380833065742417
+0 0 1 0 0 24 72 24 0 0 507.692307692308 0 0.0035734746345939
+0 0 1 0 0 24 76 24 0 0 550 0 0.00334488712834897
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+0 0 1 0 0 24 84 24 0 0 634.615384615385 0 0.00291308403713717
+0 0 1 0 0 24 88 24 0 0 676.923076923077 0 0.0027118056866173
+0 0 1 0 0 24 92 24 0 0 719.230769230769 0 0.00252097922005671
+0 0 1 0 0 24 96 24 0 0 761.538461538462 0 0.00234068769430453
+0 0 1 0 0 24 100 24 0 0 803.846153846154 0 0.00217084690794173
+0 0 1 0 0 24 104 24 0 0 846.153846153846 0 0.0020111309939098
+0 0 1 0 0 24 108 24 0 0 888.461538461538 0 0.00187719832418288
+0 0 1 0 0 24 112 24 0 0 930.769230769231 0 0.00172057958098198
+0 0 1 0 0 24 116 24 0 0 973.076923076923 0 0.00160317571782272
+0 0 1 0 0 24 120 24 0 0 1015.38461538462 0 0.00146529145788314
+0 0 1 0 0 24 124 24 0 0 1057.69230769231 0 0.00136247370209866
+0 0 1 0 0 24 128 24 0 0 1100 0 0.00124109075878956
+0 0 1 0 0 24 132 24 0 0 1142.30769230769 0 0.00115100336830618
+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 0.00104394040062157
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 0.000964885411673471
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 18 24 0 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0.0056132119991413
+0 0 2 0 0 24 20 24 0 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 0.005640126749781
+0 0 2 0 0 24 22 24 0 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 0.0056563556747906
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0.00566174381376191
+0 0 2 0 0 24 26 24 0 7.105427357601e-15 21.1538461538462 7.105427357601e-15 0.00565635567479061
+0 0 2 0 0 24 28 24 0 7.105427357601e-15 42.3076923076923 7.105427357601e-15 0.005640126749781
+0 0 2 0 0 24 30 24 0 7.105427357601e-15 63.4615384615385 7.105427357601e-15 0.0056132119991413
+0 0 2 0 0 24 32 24 0 7.105427357601e-15 84.6153846153846 7.105427357601e-15 0.00557589444669855
+0 0 2 0 0 24 34 24 0 7.105427357601e-15 105.769230769231 7.105427357601e-15 0.00552855548331014
+0 0 2 0 0 24 36 24 0 7.105427357601e-15 126.923076923077 7.105427357601e-15 0.00547166031788638
+0 0 2 0 0 24 38 24 0 7.105427357601e-15 148.076923076923 7.105427357601e-15 0.00540575846883517
+0 0 2 0 0 24 40 24 0 7.105427357601e-15 169.230769230769 7.105427357601e-15 0.00533152345777303
+0 0 2 0 0 24 42 24 0 7.105427357601e-15 190.384615384615 7.105427357601e-15 0.00524971025516712
+0 0 2 0 0 24 44 24 0 7.105427357601e-15 211.538461538462 7.105427357601e-15 0.00516081838262419
+0 0 2 0 0 24 46 24 0 7.105427357601e-15 232.692307692308 7.105427357601e-15 0.0050655976314375
+0 0 2 0 0 24 48 24 0 7.105427357601e-15 253.846153846154 7.105427357601e-15 0.00496509278610408
+0 0 2 0 0 24 50 24 0 7.105427357601e-15 275 7.105427357601e-15 0.00485958032682515
+0 0 2 0 0 24 52 24 0 7.105427357601e-15 296.153846153846 7.105427357601e-15 0.00475030079108768
+0 0 2 0 0 24 54 24 0 7.105427357601e-15 317.307692307692 7.105427357601e-15 0.00463747524279115
+0 0 2 0 0 24 56 24 0 7.105427357601e-15 338.461538461538 7.105427357601e-15 0.00452221873262075
+0 0 2 0 0 24 58 24 0 7.105427357601e-15 359.615384615385 7.105427357601e-15 0.0044049151552829
+0 0 2 0 0 24 60 24 0 7.105427357601e-15 380.769230769231 7.105427357601e-15 0.00428616609237867
+0 0 2 0 0 24 62 24 0 7.105427357601e-15 401.923076923077 7.105427357601e-15 0.00416672421209478
+0 0 2 0 0 24 64 24 0 7.105427357601e-15 423.076923076923 7.105427357601e-15 0.00404699468136095
+0 0 2 0 0 24 66 24 0 7.105427357601e-15 444.230769230769 7.105427357601e-15 0.00393134575322763
+0 0 2 0 0 24 68 24 0 7.105427357601e-15 465.384615384615 7.105427357601e-15 0.00380833065742417
+0 0 2 0 0 24 70 24 0 7.105427357601e-15 486.538461538462 7.105427357601e-15 0.0036946956324763
+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 0.0035734746345939
+0 0 2 0 0 24 74 24 0 7.105427357601e-15 528.846153846154 7.105427357601e-15 0.00346301190417466
+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 0.00334488712834897
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 0.00323842773091496
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 0.00312434752306212
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 0.00302245919244305
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 0.00547159984926881
+4 0 1 0 0 24 16 24 15.8653846153846 0 -84.6153846153846 0 0.00557582778142409
+4 0 1 0 0 24 20 24 15.8653846153846 0 -42.3076923076923 0 0.00564005898731491
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 0.00566164584110524
+4 0 1 0 0 24 28 24 15.8653846153846 0 42.3076923076923 0 0.00564005898731491
+4 0 1 0 0 24 32 24 15.8653846153846 0 84.6153846153846 0 0.00557582778142409
+4 0 1 0 0 24 36 24 15.8653846153846 0 126.923076923077 0 0.00547159984926881
+4 0 1 0 0 24 40 24 15.8653846153846 0 169.230769230769 0 0.00533146563779592
+4 0 1 0 0 24 44 24 15.8653846153846 0 211.538461538462 0 0.00516076530504747
+4 0 1 0 0 24 48 24 15.8653846153846 0 253.846153846154 0 0.00496504311298601
+4 0 1 0 0 24 52 24 15.8653846153846 0 296.153846153846 0 0.00475025586003086
+4 0 1 0 0 24 56 24 15.8653846153846 0 338.461538461538 0 0.00452217906391099
+4 0 1 0 0 24 60 24 15.8653846153846 0 380.769230769231 0 0.00428613031902199
+4 0 1 0 0 24 64 24 15.8653846153846 0 423.076923076923 0 0.00404696353013533
+4 0 1 0 0 24 68 24 15.8653846153846 0 465.384615384615 0 0.00380827414081058
+4 0 1 0 0 24 72 24 15.8653846153846 0 507.692307692308 0 0.00357342597411302
+4 0 1 0 0 24 76 24 15.8653846153846 0 550 0 0.0033448450456968
+4 0 1 0 0 24 80 24 15.8653846153846 0 592.307692307692 0 0.00312431097241423
+4 0 1 0 0 24 84 24 15.8653846153846 0 634.615384615385 0 0.00291305270125617
+4 0 1 0 0 24 88 24 15.8653846153846 0 676.923076923077 0 0.00271177898298652
+4 0 1 0 0 24 92 24 15.8653846153846 0 719.230769230769 0 0.00252095606398091
+4 0 1 0 0 24 96 24 15.8653846153846 0 761.538461538462 0 0.00234066788953905
+4 0 1 0 0 24 100 24 15.8653846153846 0 803.846153846154 0 0.00217083018425968
+4 0 1 0 0 24 104 24 15.8653846153846 0 846.153846153846 0 0.00201111652883946
+4 0 1 0 0 24 108 24 15.8653846153846 0 888.461538461538 0 0.0018771712899667
+4 0 1 0 0 24 112 24 15.8653846153846 0 930.769230769231 0 0.00172055704971288
+4 0 1 0 0 24 116 24 15.8653846153846 0 973.076923076923 0 0.00160315575219923
+4 0 1 0 0 24 120 24 15.8653846153846 0 1015.38461538462 0 0.00146527473298998
+4 0 1 0 0 24 124 24 15.8653846153846 0 1057.69230769231 0 0.00136245887433379
+4 0 1 0 0 24 128 24 15.8653846153846 0 1100 0 0.00124107833771346
+4 0 1 0 0 24 132 24 15.8653846153846 0 1142.30769230769 0 0.00115099231961281
+4 0 1 0 0 24 136 24 15.8653846153846 0 1184.61538461538 0 0.00104393109774678
+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 0.00096487712019368
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 18 24 15.8653846153846 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0.0056131431532268
+4 0 2 0 0 24 20 24 15.8653846153846 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 0.00564005898731491
+4 0 2 0 0 24 22 24 15.8653846153846 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 0.00565630732385305
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0.00566164584110524
+4 0 2 0 0 24 26 24 15.8653846153846 7.105427357601e-15 21.1538461538462 7.105427357601e-15 0.00565630732385305
+4 0 2 0 0 24 28 24 15.8653846153846 7.105427357601e-15 42.3076923076923 7.105427357601e-15 0.00564005898731491
+4 0 2 0 0 24 30 24 15.8653846153846 7.105427357601e-15 63.4615384615385 7.105427357601e-15 0.0056131431532268
+4 0 2 0 0 24 32 24 15.8653846153846 7.105427357601e-15 84.6153846153846 7.105427357601e-15 0.00557582778142409
+4 0 2 0 0 24 34 24 15.8653846153846 7.105427357601e-15 105.769230769231 7.105427357601e-15 0.00552849130617195
+4 0 2 0 0 24 36 24 15.8653846153846 7.105427357601e-15 126.923076923077 7.105427357601e-15 0.00547159984926881
+4 0 2 0 0 24 38 24 15.8653846153846 7.105427357601e-15 148.076923076923 7.105427357601e-15 0.005405700093487
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+4 0 2 0 0 24 42 24 15.8653846153846 7.105427357601e-15 190.384615384615 7.105427357601e-15 0.0052496528031987
+4 0 2 0 0 24 44 24 15.8653846153846 7.105427357601e-15 211.538461538462 7.105427357601e-15 0.00516076530504747
+4 0 2 0 0 24 46 24 15.8653846153846 7.105427357601e-15 232.692307692308 7.105427357601e-15 0.00506554586793249
+4 0 2 0 0 24 48 24 15.8653846153846 7.105427357601e-15 253.846153846154 7.105427357601e-15 0.00496504311298601
+4 0 2 0 0 24 50 24 15.8653846153846 7.105427357601e-15 275 7.105427357601e-15 0.00485953381425681
+4 0 2 0 0 24 52 24 15.8653846153846 7.105427357601e-15 296.153846153846 7.105427357601e-15 0.00475025586003086
+4 0 2 0 0 24 54 24 15.8653846153846 7.105427357601e-15 317.307692307692 7.105427357601e-15 0.00463743255986736
+4 0 2 0 0 24 56 24 15.8653846153846 7.105427357601e-15 338.461538461538 7.105427357601e-15 0.00452217906391099
+4 0 2 0 0 24 58 24 15.8653846153846 7.105427357601e-15 359.615384615385 7.105427357601e-15 0.00440487714419014
+4 0 2 0 0 24 60 24 15.8653846153846 7.105427357601e-15 380.769230769231 7.105427357601e-15 0.00428613031902199
+4 0 2 0 0 24 62 24 15.8653846153846 7.105427357601e-15 401.923076923077 7.105427357601e-15 0.00416669162660584
+4 0 2 0 0 24 64 24 15.8653846153846 7.105427357601e-15 423.076923076923 7.105427357601e-15 0.00404696353013533
+4 0 2 0 0 24 66 24 15.8653846153846 7.105427357601e-15 444.230769230769 7.105427357601e-15 0.0039313027297318
+4 0 2 0 0 24 68 24 15.8653846153846 7.105427357601e-15 465.384615384615 7.105427357601e-15 0.00380827414081058
+4 0 2 0 0 24 70 24 15.8653846153846 7.105427357601e-15 486.538461538462 7.105427357601e-15 0.00369464284702759
+4 0 2 0 0 24 72 24 15.8653846153846 7.105427357601e-15 507.692307692308 7.105427357601e-15 0.00357342597411302
+4 0 2 0 0 24 74 24 15.8653846153846 7.105427357601e-15 528.846153846154 7.105427357601e-15 0.00346296636525372
+4 0 2 0 0 24 76 24 15.8653846153846 7.105427357601e-15 550 7.105427357601e-15 0.0033448450456968
+4 0 2 0 0 24 78 24 15.8653846153846 7.105427357601e-15 571.153846153846 7.105427357601e-15 0.00323838827019154
+4 0 2 0 0 24 80 24 15.8653846153846 7.105427357601e-15 592.307692307692 7.105427357601e-15 0.00312431097241423
+4 0 2 0 0 24 82 24 15.8653846153846 7.105427357601e-15 613.461538461538 7.105427357601e-15 0.00302242510551835
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 0 24 31.7307692307692 0 -253.846153846154 0 0.00496499408541147
+8 0 0 0 0 24 8 24 31.7307692307692 0 -169.230769230769 0 0.00533140952646607
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+8 0 0 0 0 24 32 24 31.7307692307692 0 84.6153846153846 0 0.00557576359208227
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+8 0 0 0 0 24 48 24 31.7307692307692 0 253.846153846154 0 0.00496499408541147
+8 0 0 0 0 24 56 24 31.7307692307692 0 338.461538461539 0 0.00452213941353941
+8 0 0 0 0 24 64 24 31.7307692307692 0 423.076923076923 0 0.00404693340540566
+8 0 0 0 0 24 72 24 31.7307692307692 0 507.692307692308 0 0.00357337732831328
+8 0 0 0 0 24 80 24 31.7307692307692 0 592.307692307692 0 0.00312427428955605
+8 0 0 0 0 24 88 24 31.7307692307692 0 676.923076923077 0 0.00271175208514694
+8 0 0 0 0 24 96 24 31.7307692307692 0 761.538461538462 0 0.00234064778671178
+8 0 0 0 0 24 104 24 31.7307692307692 0 846.153846153846 0 0.0020111021067019
+8 0 0 0 0 24 112 24 31.7307692307692 0 930.769230769231 0 0.0017205345240652
+8 0 0 0 0 24 120 24 31.7307692307692 0 1015.38461538462 0 0.00146525801120197
+8 0 0 0 0 24 128 24 31.7307692307692 0 1100 0 0.0012410659199322
+8 0 0 0 0 24 136 24 31.7307692307692 0 1184.61538461538 0 0.00104392179692528
+8 0 0 0 0 24 144 24 31.7307692307692 0 1269.23076923077 0 0.000870086206909036
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+8 0 0 0 0 24 160 24 31.7307692307692 0 1438.46153846154 0 0.000579569943350125
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+8 0 0 0 0 24 232 24 31.7307692307692 0 2200 0 4.87343165667463e-05
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 24 140 24 31.7307692307692 0 1226.92307692308 0 0.000964868830440612
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 18 24 31.7307692307692 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0.00561307699520561
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+8 0 2 0 0 24 68 24 31.7307692307692 7.105427357601e-15 465.384615384615 7.105427357601e-15 0.0038082170460353
+8 0 2 0 0 24 70 24 31.7307692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 0.00369458976423491
+8 0 2 0 0 24 72 24 31.7307692307692 7.105427357601e-15 507.692307692308 7.105427357601e-15 0.00357337732831328
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+8 0 2 0 0 24 76 24 31.7307692307692 7.105427357601e-15 550 7.105427357601e-15 0.00334480288772073
+8 0 2 0 0 24 78 24 31.7307692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 0.00323834870892457
+8 0 2 0 0 24 80 24 31.7307692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 0.00312427428955605
+8 0 2 0 0 24 82 24 31.7307692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 0.00302239085895409
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 12 24 47.5961538461538 0 -126.923076923077 0 0.00547148264875049
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+12 0 1 0 0 24 128 24 47.5961538461538 0 1100 0 0.001241053307661
+12 0 1 0 0 24 132 24 47.5961538461538 0 1142.30769230769 0 0.00115097005036884
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 0.000964860398878014
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 18 24 47.5961538461538 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0.00561301341900943
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+12 0 2 0 0 24 64 24 47.5961538461538 7.105427357601e-15 423.076923076923 7.105427357601e-15 0.00404690400115323
+12 0 2 0 0 24 66 24 47.5961538461538 7.105427357601e-15 444.230769230769 7.105427357601e-15 0.00393121737583058
+12 0 2 0 0 24 68 24 47.5961538461538 7.105427357601e-15 465.384615384615 7.105427357601e-15 0.00380815941891054
+12 0 2 0 0 24 70 24 47.5961538461538 7.105427357601e-15 486.538461538462 7.105427357601e-15 0.0036945364010893
+12 0 2 0 0 24 72 24 47.5961538461538 7.105427357601e-15 507.692307692308 7.105427357601e-15 0.00357332869598864
+12 0 2 0 0 24 74 24 47.5961538461538 7.105427357601e-15 528.846153846154 7.105427357601e-15 0.00346287520266861
+12 0 2 0 0 24 76 24 47.5961538461538 7.105427357601e-15 550 7.105427357601e-15 0.0033447606548499
+12 0 2 0 0 24 78 24 47.5961538461538 7.105427357601e-15 571.153846153846 7.105427357601e-15 0.00323830904702123
+12 0 2 0 0 24 80 24 47.5961538461538 7.105427357601e-15 592.307692307692 7.105427357601e-15 0.00312423747736922
+12 0 2 0 0 24 82 24 47.5961538461538 7.105427357601e-15 613.461538461538 7.105427357601e-15 0.00302235646624337
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 24 0 24 63.4615384615385 0 -253.846153846154 0 0.00496489720978634
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+16 0 0 0 0 24 152 24 63.4615384615385 0 1353.84615384615 0 0.000716247693088704
+16 0 0 0 0 24 160 24 63.4615384615385 0 1438.46153846154 0 0.000579561819421377
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+16 0 0 0 0 24 176 24 63.4615384615385 0 1607.69230769231 0 0.000348153553468899
+16 0 0 0 0 24 184 24 63.4615384615385 0 1692.30769230769 0 0.000249586208573941
+16 0 0 0 0 24 192 24 63.4615384615385 0 1776.92307692308 0 0.000160370758245254
+16 0 0 0 0 24 200 24 63.4615384615385 0 1861.53846153846 0 7.92754806484622e-05
+16 0 0 0 0 24 208 24 63.4615384615385 0 1946.15384615385 0 4.87507992318049e-05
+16 0 0 0 0 24 216 24 63.4615384615385 0 2030.76923076923 0 4.87343145787367e-05
+16 0 0 0 0 24 224 24 63.4615384615385 0 2115.38461538462 0 4.87343144338549e-05
+16 0 0 0 0 24 232 24 63.4615384615385 0 2200 0 4.87343171567754e-05
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 12 24 63.4615384615385 0 -126.923076923077 0 0.00547142610496203
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 0.000964851968895423
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 140 24 79.3269230769231 0 1226.92307692308 0 0.00096484339704281
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 82 24 111.057692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 0.00302221704187298
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 24 21 24 111.057692307692 7.105427357601e-15 -31.7307692307692 7.105427357601e-15 0.00564771751535448
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+28 0 3 0 0 24 47 24 111.057692307692 7.105427357601e-15 243.269230769231 7.105427357601e-15 0.00501551686933873
+28 0 3 0 0 24 48 24 111.057692307692 7.105427357601e-15 253.846153846154 7.105427357601e-15 0.00496475662599227
+28 0 3 0 0 24 49 24 111.057692307692 7.105427357601e-15 264.423076923077 7.105427357601e-15 0.00491258683667108
+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 0.00485926876139173
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 0.00480526161223288
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 0.00474999317744728
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 0.00469427883342818
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/eps.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/eps.z.asc
new file mode 100644
index 000000000..1eaf99ea5
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/eps.z.asc
@@ -0,0 +1,864 @@
+# WHISKY::eps z (eps)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 0.00496509278610408
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 0.00533152345777303
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 0.00557589444669855
+0 0 0 0 0 24 24 24 0 0 0 0 0.00566174381376191
+0 0 0 0 0 24 24 32 0 0 0 84.6153846153846 0.00557589444669855
+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 0.00533152345777303
+0 0 0 0 0 24 24 48 0 0 0 253.846153846154 0.00496509278610408
+0 0 0 0 0 24 24 56 0 0 0 338.461538461539 0.00452221873262075
+0 0 0 0 0 24 24 64 0 0 0 423.076923076923 0.00404699468136095
+0 0 0 0 0 24 24 72 0 0 0 507.692307692308 0.0035734746345939
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+0 0 0 0 0 24 24 128 0 0 0 1100 0.00124109075878956
+0 0 0 0 0 24 24 136 0 0 0 1184.61538461538 0.00104394040062157
+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 0.000870100202561497
+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 0.000716269022229459
+0 0 0 0 0 24 24 160 0 0 0 1438.46153846154 0.00057957791106431
+0 0 0 0 0 24 24 168 0 0 0 1523.07692307692 0.000457570767162135
+0 0 0 0 0 24 24 176 0 0 0 1607.69230769231 0.000348162598180796
+0 0 0 0 0 24 24 184 0 0 0 1692.30769230769 0.00024959285257593
+0 0 0 0 0 24 24 192 0 0 0 1776.92307692308 0.000160378522975001
+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 7.9271673790869e-05
+0 0 0 0 0 24 24 208 0 0 0 1946.15384615385 4.8734314480286e-05
+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 4.8734314480286e-05
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 4.8734314480286e-05
+0 0 0 0 0 24 24 232 0 0 0 2200 4.8734314480286e-05
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 0.00547166031788638
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 0.00557589444669855
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 0.005640126749781
+0 0 1 0 0 24 24 24 0 0 0 0 0.00566174381376191
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+0 0 1 0 0 24 24 36 0 0 0 126.923076923077 0.00547166031788638
+0 0 1 0 0 24 24 40 0 0 0 169.230769230769 0.00533152345777303
+0 0 1 0 0 24 24 44 0 0 0 211.538461538462 0.00516081838262419
+0 0 1 0 0 24 24 48 0 0 0 253.846153846154 0.00496509278610408
+0 0 1 0 0 24 24 52 0 0 0 296.153846153846 0.00475030079108768
+0 0 1 0 0 24 24 56 0 0 0 338.461538461538 0.00452221873262075
+0 0 1 0 0 24 24 60 0 0 0 380.769230769231 0.00428616609237867
+0 0 1 0 0 24 24 64 0 0 0 423.076923076923 0.00404699468136095
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+0 0 1 0 0 24 24 84 0 0 0 634.615384615385 0.00291308403713717
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+0 0 1 0 0 24 24 104 0 0 0 846.153846153846 0.0020111309939098
+0 0 1 0 0 24 24 108 0 0 0 888.461538461538 0.00187719832418288
+0 0 1 0 0 24 24 112 0 0 0 930.769230769231 0.00172057958098198
+0 0 1 0 0 24 24 116 0 0 0 973.076923076923 0.00160317571782272
+0 0 1 0 0 24 24 120 0 0 0 1015.38461538462 0.00146529145788314
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+0 0 1 0 0 24 24 128 0 0 0 1100 0.00124109075878956
+0 0 1 0 0 24 24 132 0 0 0 1142.30769230769 0.00115100336830618
+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 0.00104394040062157
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 0.000964885411673471
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0.0056132119991413
+0 0 2 0 0 24 24 20 0 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 0.005640126749781
+0 0 2 0 0 24 24 22 0 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 0.00565635567479061
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+0 0 2 0 0 24 24 28 0 7.105427357601e-15 7.105427357601e-15 42.3076923076923 0.005640126749781
+0 0 2 0 0 24 24 30 0 7.105427357601e-15 7.105427357601e-15 63.4615384615385 0.0056132119991413
+0 0 2 0 0 24 24 32 0 7.105427357601e-15 7.105427357601e-15 84.6153846153846 0.00557589444669855
+0 0 2 0 0 24 24 34 0 7.105427357601e-15 7.105427357601e-15 105.769230769231 0.00552855548331014
+0 0 2 0 0 24 24 36 0 7.105427357601e-15 7.105427357601e-15 126.923076923077 0.00547166031788638
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+0 0 2 0 0 24 24 40 0 7.105427357601e-15 7.105427357601e-15 169.230769230769 0.00533152345777303
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+0 0 2 0 0 24 24 44 0 7.105427357601e-15 7.105427357601e-15 211.538461538462 0.00516081838262419
+0 0 2 0 0 24 24 46 0 7.105427357601e-15 7.105427357601e-15 232.692307692308 0.0050655976314375
+0 0 2 0 0 24 24 48 0 7.105427357601e-15 7.105427357601e-15 253.846153846154 0.00496509278610408
+0 0 2 0 0 24 24 50 0 7.105427357601e-15 7.105427357601e-15 275 0.00485958032682515
+0 0 2 0 0 24 24 52 0 7.105427357601e-15 7.105427357601e-15 296.153846153846 0.00475030079108768
+0 0 2 0 0 24 24 54 0 7.105427357601e-15 7.105427357601e-15 317.307692307692 0.00463747524279115
+0 0 2 0 0 24 24 56 0 7.105427357601e-15 7.105427357601e-15 338.461538461538 0.00452221873262075
+0 0 2 0 0 24 24 58 0 7.105427357601e-15 7.105427357601e-15 359.615384615385 0.0044049151552829
+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 0.00428616609237867
+0 0 2 0 0 24 24 62 0 7.105427357601e-15 7.105427357601e-15 401.923076923077 0.00416672421209478
+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 0.00404699468136095
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 0.00393134575322763
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 0.00380833065742417
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 0.0036946956324763
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 0.0035734746345939
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 0.00346301190417466
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 0.00334488712834897
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 0.00323842773091496
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 0.00312434752306212
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 0.00302245919244305
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 0.00547159984926882
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 0.00557582778142409
+4 0 1 0 0 24 24 20 15.8653846153846 0 0 -42.3076923076923 0.00564005898731491
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+4 0 1 0 0 24 24 28 15.8653846153846 0 0 42.3076923076923 0.00564005898731491
+4 0 1 0 0 24 24 32 15.8653846153846 0 0 84.6153846153846 0.00557582778142409
+4 0 1 0 0 24 24 36 15.8653846153846 0 0 126.923076923077 0.00547159984926882
+4 0 1 0 0 24 24 40 15.8653846153846 0 0 169.230769230769 0.00533146563779592
+4 0 1 0 0 24 24 44 15.8653846153846 0 0 211.538461538462 0.00516076530504747
+4 0 1 0 0 24 24 48 15.8653846153846 0 0 253.846153846154 0.00496504311298601
+4 0 1 0 0 24 24 52 15.8653846153846 0 0 296.153846153846 0.00475025586003086
+4 0 1 0 0 24 24 56 15.8653846153846 0 0 338.461538461538 0.00452217906391099
+4 0 1 0 0 24 24 60 15.8653846153846 0 0 380.769230769231 0.00428613031902199
+4 0 1 0 0 24 24 64 15.8653846153846 0 0 423.076923076923 0.00404696353013533
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+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 0.00096487712019368
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 24 0 31.7307692307692 0 0 -253.846153846154 0.00496499408541147
+8 0 0 0 0 24 24 8 31.7307692307692 0 0 -169.230769230769 0.00533140952646607
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+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 4.87343165667463e-05
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 24 12 31.7307692307692 0 0 -126.923076923077 0.00547154055463646
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+8 0 1 0 0 24 24 140 31.7307692307692 0 0 1226.92307692308 0.000964868830440613
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 0.00334480288772073
+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 0.00323834870892457
+8 0 2 0 0 24 24 80 31.7307692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 0.00312427428955605
+8 0 2 0 0 24 24 82 31.7307692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 0.00302239085895409
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 24 12 47.5961538461538 0 0 -126.923076923077 0.00547148264875049
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+12 0 1 0 0 24 24 112 47.5961538461538 0 0 930.769230769231 0.00172051100719912
+12 0 1 0 0 24 24 116 47.5961538461538 0 0 973.076923076923 0.00160311516968987
+12 0 1 0 0 24 24 120 47.5961538461538 0 0 1015.38461538462 0.00146524107391708
+12 0 1 0 0 24 24 124 47.5961538461538 0 0 1057.69230769231 0.00136242901971318
+12 0 1 0 0 24 24 128 47.5961538461538 0 0 1100 0.001241053307661
+12 0 1 0 0 24 24 132 47.5961538461538 0 0 1142.30769230769 0.00115097005036884
+12 0 1 0 0 24 24 136 47.5961538461538 0 0 1184.61538461538 0.00104391234025703
+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 0.000964860398878015
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 24 18 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0.00561301341900943
+12 0 2 0 0 24 24 20 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 0.00563993180875855
+12 0 2 0 0 24 24 22 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 0.00565621502793413
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+12 0 2 0 0 24 24 26 47.5961538461538 7.105427357601e-15 7.105427357601e-15 21.1538461538462 0.00565621502793413
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+12 0 2 0 0 24 24 30 47.5961538461538 7.105427357601e-15 7.105427357601e-15 63.4615384615385 0.00561301341900943
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+12 0 2 0 0 24 24 50 47.5961538461538 7.105427357601e-15 7.105427357601e-15 275 0.00485944250591371
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+12 0 2 0 0 24 24 62 47.5961538461538 7.105427357601e-15 7.105427357601e-15 401.923076923077 0.00416662961615589
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+12 0 2 0 0 24 24 66 47.5961538461538 7.105427357601e-15 7.105427357601e-15 444.230769230769 0.00393121737583058
+12 0 2 0 0 24 24 68 47.5961538461538 7.105427357601e-15 7.105427357601e-15 465.384615384615 0.00380815941891054
+12 0 2 0 0 24 24 70 47.5961538461538 7.105427357601e-15 7.105427357601e-15 486.538461538462 0.0036945364010893
+12 0 2 0 0 24 24 72 47.5961538461538 7.105427357601e-15 7.105427357601e-15 507.692307692308 0.00357332869598864
+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 0.00346287520266861
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 0.0033447606548499
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 0.00323830904702123
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 0.00312423747736922
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 0.00302235646624337
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 24 24 0 63.4615384615385 0 0 -253.846153846154 0.00496489720978634
+16 0 0 0 0 24 24 8 63.4615384615385 0 0 -169.230769230769 0.00533130125457295
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+16 0 0 0 0 24 24 40 63.4615384615385 0 0 169.230769230769 0.00533130125457295
+16 0 0 0 0 24 24 48 63.4615384615385 0 0 253.846153846154 0.00496489720978634
+16 0 0 0 0 24 24 56 63.4615384615385 0 0 338.461538461539 0.00452206051440542
+16 0 0 0 0 24 24 64 63.4615384615385 0 0 423.076923076923 0.00404687525727309
+16 0 0 0 0 24 24 72 63.4615384615385 0 0 507.692307692308 0.00357328006678335
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+16 0 0 0 0 24 24 88 63.4615384615385 0 0 676.923076923077 0.00271169771647674
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+16 0 0 0 0 24 24 152 63.4615384615385 0 0 1353.84615384615 0.000716247693088704
+16 0 0 0 0 24 24 160 63.4615384615385 0 0 1438.46153846154 0.000579561819421377
+16 0 0 0 0 24 24 168 63.4615384615385 0 0 1523.07692307692 0.000457558650924211
+16 0 0 0 0 24 24 176 63.4615384615385 0 0 1607.69230769231 0.000348153553468899
+16 0 0 0 0 24 24 184 63.4615384615385 0 0 1692.30769230769 0.000249586208573941
+16 0 0 0 0 24 24 192 63.4615384615385 0 0 1776.92307692308 0.000160370758245254
+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 7.92754806484622e-05
+16 0 0 0 0 24 24 208 63.4615384615385 0 0 1946.15384615385 4.87507992318049e-05
+16 0 0 0 0 24 24 216 63.4615384615385 0 0 2030.76923076923 4.87343145787367e-05
+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 4.87343144338549e-05
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 4.87343171567754e-05
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 0.00547142610496203
+16 0 1 0 0 24 24 16 63.4615384615385 0 0 -84.6153846153846 0.00557564082583504
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+16 0 1 0 0 24 24 36 63.4615384615385 0 0 126.923076923077 0.00547142610496203
+16 0 1 0 0 24 24 40 63.4615384615385 0 0 169.230769230769 0.00533130125457295
+16 0 1 0 0 24 24 44 63.4615384615385 0 0 211.538461538462 0.00516061068586367
+16 0 1 0 0 24 24 48 63.4615384615385 0 0 253.846153846154 0.00496489720978634
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+16 0 1 0 0 24 24 80 63.4615384615385 0 0 592.307692307692 0.00312420052280119
+16 0 1 0 0 24 24 84 63.4615384615385 0 0 634.615384615385 0.00291295759852795
+16 0 1 0 0 24 24 88 63.4615384615385 0 0 676.923076923077 0.00271169771647674
+16 0 1 0 0 24 24 92 63.4615384615385 0 0 719.230769230769 0.00252088552254271
+16 0 1 0 0 24 24 96 63.4615384615385 0 0 761.538461538462 0.00234060670763763
+16 0 1 0 0 24 24 100 63.4615384615385 0 0 803.846153846154 0.00217078234537191
+16 0 1 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 0.00201107418999509
+16 0 1 0 0 24 24 108 63.4615384615385 0 0 888.461538461538 0.00187712705118833
+16 0 1 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 0.00172048749445877
+16 0 1 0 0 24 24 116 63.4615384615385 0 0 973.076923076923 0.00160309455279859
+16 0 1 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 0.00146522414077766
+16 0 1 0 0 24 24 124 63.4615384615385 0 0 1057.69230769231 0.00136241399301003
+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 0.00124104069790963
+16 0 1 0 0 24 24 132 63.4615384615385 0 0 1142.30769230769 0.00115095882925912
+16 0 1 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 0.00104390288545717
+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 0.000964851968895424
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 24 18 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0.00561295206486869
+16 0 2 0 0 24 24 20 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 0.00563987127274308
+16 0 2 0 0 24 24 22 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 0.00565617148143177
+16 0 2 0 0 24 24 24 63.4615384615385 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0.00566136110570829
+16 0 2 0 0 24 24 26 63.4615384615385 7.105427357601e-15 7.105427357601e-15 21.1538461538462 0.00565617148143177
+16 0 2 0 0 24 24 28 63.4615384615385 7.105427357601e-15 7.105427357601e-15 42.3076923076923 0.00563987127274308
+16 0 2 0 0 24 24 30 63.4615384615385 7.105427357601e-15 7.105427357601e-15 63.4615384615385 0.00561295206486869
+16 0 2 0 0 24 24 32 63.4615384615385 7.105427357601e-15 7.105427357601e-15 84.6153846153846 0.00557564082583504
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+16 0 2 0 0 24 24 40 63.4615384615385 7.105427357601e-15 7.105427357601e-15 169.230769230769 0.00533130125457295
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+16 0 2 0 0 24 24 50 63.4615384615385 7.105427357601e-15 7.105427357601e-15 275 0.00485939774373406
+16 0 2 0 0 24 24 52 63.4615384615385 7.105427357601e-15 7.105427357601e-15 296.153846153846 0.00475012289004321
+16 0 2 0 0 24 24 54 63.4615384615385 7.105427357601e-15 7.105427357601e-15 317.307692307692 0.00463730794312207
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+16 0 2 0 0 24 24 58 63.4615384615385 7.105427357601e-15 7.105427357601e-15 359.615384615385 0.00440476303181899
+16 0 2 0 0 24 24 60 63.4615384615385 7.105427357601e-15 7.105427357601e-15 380.769230769231 0.00428602350046233
+16 0 2 0 0 24 24 62 63.4615384615385 7.105427357601e-15 7.105427357601e-15 401.923076923077 0.0041666001008533
+16 0 2 0 0 24 24 64 63.4615384615385 7.105427357601e-15 7.105427357601e-15 423.076923076923 0.00404687525727309
+16 0 2 0 0 24 24 66 63.4615384615385 7.105427357601e-15 7.105427357601e-15 444.230769230769 0.00393117488221248
+16 0 2 0 0 24 24 68 63.4615384615385 7.105427357601e-15 7.105427357601e-15 465.384615384615 0.00380810129446785
+16 0 2 0 0 24 24 70 63.4615384615385 7.105427357601e-15 7.105427357601e-15 486.538461538462 0.00369448277270441
+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 0.00357328006678335
+16 0 2 0 0 24 24 74 63.4615384615385 7.105427357601e-15 7.105427357601e-15 528.846153846154 0.0034628295714708
+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 0.00334471834214284
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 0.00323826927497237
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 0.00312420052280119
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 0.00302232191460323
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 24 24 12 79.3269230769231 0 0 -126.923076923077 0.00547134190732326
+20 0 1 0 0 24 24 16 79.3269230769231 0 0 -84.6153846153846 0.00557555050313036
+20 0 1 0 0 24 24 20 79.3269230769231 0 0 -42.3076923076923 0.00563978044641
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+20 0 1 0 0 24 24 36 79.3269230769231 0 0 126.923076923077 0.00547134190732326
+20 0 1 0 0 24 24 40 79.3269230769231 0 0 169.230769230769 0.00533122167879353
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+20 0 1 0 0 24 24 48 79.3269230769231 0 0 253.846153846154 0.00496484963972063
+20 0 1 0 0 24 24 52 79.3269230769231 0 0 296.153846153846 0.00475007921079138
+20 0 1 0 0 24 24 56 79.3269230769231 0 0 338.461538461538 0.00452202129516951
+20 0 1 0 0 24 24 60 79.3269230769231 0 0 380.769230769231 0.00428598800969954
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+20 0 1 0 0 24 24 72 79.3269230769231 0 0 507.692307692308 0.00357323144107331
+20 0 1 0 0 24 24 76 79.3269230769231 0 0 550 0.00334467594787706
+20 0 1 0 0 24 24 80 79.3269230769231 0 0 592.307692307692 0.00312416342771616
+20 0 1 0 0 24 24 84 79.3269230769231 0 0 634.615384615385 0.00291292553067404
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+20 0 1 0 0 24 24 96 79.3269230769231 0 0 761.538461538462 0.00234058571609628
+20 0 1 0 0 24 24 100 79.3269230769231 0 0 803.846153846154 0.00217076713865093
+20 0 1 0 0 24 24 104 79.3269230769231 0 0 846.153846153846 0.00201106064223882
+20 0 1 0 0 24 24 108 79.3269230769231 0 0 888.461538461538 0.00187709863017653
+20 0 1 0 0 24 24 112 79.3269230769231 0 0 930.769230769231 0.00172046304204143
+20 0 1 0 0 24 24 116 79.3269230769231 0 0 973.076923076923 0.00160307330030266
+20 0 1 0 0 24 24 120 79.3269230769231 0 0 1015.38461538462 0.00146520698307475
+20 0 1 0 0 24 24 124 79.3269230769231 0 0 1057.69230769231 0.0013623987559212
+20 0 1 0 0 24 24 128 79.3269230769231 0 0 1100 0.00124102789407863
+20 0 1 0 0 24 24 132 79.3269230769231 0 0 1142.30769230769 0.00115094743114368
+20 0 1 0 0 24 24 136 79.3269230769231 0 0 1184.61538461538 0.00104389327476383
+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 0.00096484339704281
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 0 0 0 24 24 232 95.1923076923077 0 0 2200 4.87343172267206e-05
+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 1 0 0 24 24 140 95.1923076923077 0 0 1226.92307692308 0.000964834826647801
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 2 0 0 24 24 78 95.1923076923077 7.105427357601e-15 7.105427357601e-15 571.153846153846 0.0032381893604058
+24 0 2 0 0 24 24 80 95.1923076923077 7.105427357601e-15 7.105427357601e-15 592.307692307692 0.00312412620168475
+24 0 2 0 0 24 24 82 95.1923076923077 7.105427357601e-15 7.105427357601e-15 613.461538461538 0.00302225227635293
+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 24 140 111.057692307692 0 0 1226.92307692308 0.000964826114334682
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 0.00302221704187298
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 0.00469427883342818
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/eps_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/eps_maximum.xg
new file mode 100644
index 000000000..a23e778da
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/eps_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::eps
+"eps v time
+0.0000000000000e+00 5.6617438137619e-03
+7.9326923076923e+00 5.6616946082454e-03
+1.5865384615385e+01 5.6616458411052e-03
+2.3798076923077e+01 5.6615973193065e-03
+3.1730769230769e+01 5.6615491176263e-03
+3.9663461538462e+01 5.6615014371917e-03
+4.7596153846154e+01 5.6614542068224e-03
+5.5528846153846e+01 5.6614074012874e-03
+6.3461538461538e+01 5.6613611057083e-03
+7.1394230769231e+01 5.6613153867755e-03
+7.5360576923077e+01 5.6612690873584e-03
+7.9326923076923e+01 5.6612232060463e-03
+8.3293269230769e+01 5.6611776594338e-03
+8.7259615384615e+01 5.6611325983565e-03
+9.1225961538462e+01 5.6610880529316e-03
+9.5192307692308e+01 5.6610440290397e-03
+9.9158653846154e+01 5.6610005309258e-03
+1.0312500000000e+02 5.6609575632137e-03
+1.0709134615385e+02 5.6609151315950e-03
+1.1105769230769e+02 5.6608732439362e-03
+1.1502403846154e+02 5.6608319101782e-03
+1.1899038461538e+02 5.6607911412937e-03
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/eps_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/eps_minimum.xg
new file mode 100644
index 000000000..0aa831ad9
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/eps_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::eps
+"eps v time
+0.0000000000000e+00 4.8734314480286e-05
+7.9326923076923e+00 1.6514255087236e-03
+1.5865384615385e+01 4.8749312648111e-05
+2.3798076923077e+01 1.6514253603040e-03
+3.1730769230769e+01 4.8734260712599e-05
+3.9663461538462e+01 1.6514250659197e-03
+4.7596153846154e+01 4.8779340645846e-05
+5.5528846153846e+01 1.6514246241796e-03
+6.3461538461538e+01 4.8734099400694e-05
+7.1394230769231e+01 1.6514240351889e-03
+7.5360576923077e+01 3.7471756995623e-03
+7.9326923076923e+01 4.8809450417507e-05
+8.3293269230769e+01 3.7471757556931e-03
+8.7259615384615e+01 1.6514232997985e-03
+9.1225961538462e+01 3.7471758064232e-03
+9.5192307692308e+01 4.8733830527005e-05
+9.9158653846154e+01 3.7471758584264e-03
+1.0312500000000e+02 1.6514224167304e-03
+1.0709134615385e+02 3.7471759170042e-03
+1.1105769230769e+02 4.8839641992710e-05
+1.1502403846154e+02 3.7471759827759e-03
+1.1899038461538e+02 1.6514213861538e-03
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/eps_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/eps_norm1.xg
new file mode 100644
index 000000000..3a89029a6
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/eps_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::eps
+"eps v time
+0.0000000000000e+00 4.4902408647195e-04
+7.9326923076923e+00 3.6383469142848e-03
+1.5865384615385e+01 1.7574291574989e-03
+2.3798076923077e+01 3.6383469542613e-03
+3.1730769230769e+01 4.4902405950868e-04
+3.9663461538462e+01 3.6383471297484e-03
+4.7596153846154e+01 1.7574279937406e-03
+5.5528846153846e+01 3.6383474248059e-03
+6.3461538461538e+01 4.4902399441234e-04
+7.1394230769231e+01 3.6383478384985e-03
+7.5360576923077e+01 4.9417728710127e-03
+7.9326923076923e+01 1.7574265406910e-03
+8.3293269230769e+01 4.9417751300664e-03
+8.7259615384615e+01 3.6383470209053e-03
+9.1225961538462e+01 4.9417776444246e-03
+9.5192307692308e+01 4.4902377066351e-04
+9.9158653846154e+01 4.9417804111931e-03
+1.0312500000000e+02 3.6383464855524e-03
+1.0709134615385e+02 4.9417834291055e-03
+1.1105769230769e+02 1.7574245677232e-03
+1.1502403846154e+02 4.9417866969402e-03
+1.1899038461538e+02 3.6383461829751e-03
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/eps_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/eps_norm2.xg
new file mode 100644
index 000000000..fed36edd3
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/eps_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::eps
+"eps v time
+0.0000000000000e+00 9.8196182723989e-04
+7.9326923076923e+00 3.7400874464539e-03
+1.5865384615385e+01 2.1025404472948e-03
+2.3798076923077e+01 3.7400875877126e-03
+3.1730769230769e+01 9.8195918611726e-04
+3.9663461538462e+01 3.7400879684551e-03
+4.7596153846154e+01 2.1025383722917e-03
+5.5528846153846e+01 3.7400885736577e-03
+6.3461538461538e+01 9.8195666032657e-04
+7.1394230769231e+01 3.7400894024645e-03
+7.5360576923077e+01 4.9561732996297e-03
+7.9326923076923e+01 2.1025361647715e-03
+8.3293269230769e+01 4.9561756452777e-03
+8.7259615384615e+01 3.7400885095647e-03
+9.1225961538462e+01 4.9561782554213e-03
+9.5192307692308e+01 9.8195360682602e-04
+9.9158653846154e+01 4.9561811270775e-03
+1.0312500000000e+02 3.7400880772458e-03
+1.0709134615385e+02 4.9561842589006e-03
+1.1105769230769e+02 2.1025332489868e-03
+1.1502403846154e+02 4.9561876497433e-03
+1.1899038461538e+02 3.7400880345043e-03
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxx.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/gxx.x.asc
new file mode 100644
index 000000000..68b3462c0
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxx.x.asc
@@ -0,0 +1,864 @@
+# ADMBASE::gxx x (gxx)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 1.01857101160765
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 1.01960605224309
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 1.02029641693505
+0 0 0 0 0 24 24 24 0 0 0 0 1.02053896717033
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 1.02029641693505
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 1.01960605224309
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+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 1.01732029130819
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+0 0 0 0 0 128 24 24 0 1100 0 0 1.0080627851157
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+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 1.00701711135106
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 1.00658359419917
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 1.006198416854
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 1.00585464623272
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 1.00554639904053
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+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 1.00501738924373
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 1.00478892340349
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 1.00458035259249
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 1.00438919102191
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 1.00421334648009
+0 0 0 0 0 232 24 24 0 2200 0 0 1.00405104893667
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 1.02000193918476
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 1.02029641693505
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 1.02047789124297
+0 0 1 0 0 24 24 24 0 0 0 0 1.02053896717033
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 1.02047789124297
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 1.02029641693505
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 1.02000193918476
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 1.01960605224309
+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 1.01912384749715
+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 1.01857101160765
+0 0 1 0 0 52 24 24 0 296.153846153846 0 0 1.01796438337812
+0 0 1 0 0 56 24 24 0 338.461538461538 0 0 1.01732029130819
+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 1.0166537631369
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 1.01597850949553
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 1.01530476537934
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 1.01464185210732
+0 0 1 0 0 76 24 24 0 550 0 0 1.013996707195
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 1.01337434606597
+0 0 1 0 0 84 24 24 0 634.615384615385 0 0 1.01277822896438
+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 1.01221034872541
+0 0 1 0 0 92 24 24 0 719.230769230769 0 0 1.01167200897287
+0 0 1 0 0 96 24 24 0 761.538461538462 0 0 1.01116344271757
+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 1.01068439866994
+0 0 1 0 0 104 24 24 0 846.153846153846 0 0 1.01023395283803
+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 1.00981117939165
+0 0 1 0 0 112 24 24 0 930.769230769231 0 0 1.00941461590367
+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 1.00904301890113
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 1.00869483055618
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 1.0083685547414
+0 0 1 0 0 128 24 24 0 1100 0 0 1.0080627851157
+0 0 1 0 0 132 24 24 0 1142.30769230769 0 0 1.0077760465669
+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 1.0075070674037
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 1.00725445252533
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.0204018487379
+0 0 2 0 0 20 24 24 0 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047789124297
+0 0 2 0 0 22 24 24 0 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.02052374357434
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053896717033
+0 0 2 0 0 26 24 24 0 21.1538461538462 7.105427357601e-15 7.105427357601e-15 1.02052374357434
+0 0 2 0 0 28 24 24 0 42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047789124297
+0 0 2 0 0 30 24 24 0 63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.0204018487379
+0 0 2 0 0 32 24 24 0 84.6153846153846 7.105427357601e-15 7.105427357601e-15 1.02029641693505
+0 0 2 0 0 34 24 24 0 105.769230769231 7.105427357601e-15 7.105427357601e-15 1.02016267502063
+0 0 2 0 0 36 24 24 0 126.923076923077 7.105427357601e-15 7.105427357601e-15 1.02000193918476
+0 0 2 0 0 38 24 24 0 148.076923076923 7.105427357601e-15 7.105427357601e-15 1.01981576358925
+0 0 2 0 0 40 24 24 0 169.230769230769 7.105427357601e-15 7.105427357601e-15 1.01960605224309
+0 0 2 0 0 42 24 24 0 190.384615384615 7.105427357601e-15 7.105427357601e-15 1.01937494147213
+0 0 2 0 0 44 24 24 0 211.538461538462 7.105427357601e-15 7.105427357601e-15 1.01912384749715
+0 0 2 0 0 46 24 24 0 232.692307692308 7.105427357601e-15 7.105427357601e-15 1.01885488535482
+0 0 2 0 0 48 24 24 0 253.846153846154 7.105427357601e-15 7.105427357601e-15 1.01857101160765
+0 0 2 0 0 50 24 24 0 275 7.105427357601e-15 7.105427357601e-15 1.01827301031043
+0 0 2 0 0 52 24 24 0 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.01796438337812
+0 0 2 0 0 54 24 24 0 317.307692307692 7.105427357601e-15 7.105427357601e-15 1.01764576019633
+0 0 2 0 0 56 24 24 0 338.461538461538 7.105427357601e-15 7.105427357601e-15 1.01732029130819
+0 0 2 0 0 58 24 24 0 359.615384615385 7.105427357601e-15 7.105427357601e-15 1.01698905647444
+0 0 2 0 0 60 24 24 0 380.769230769231 7.105427357601e-15 7.105427357601e-15 1.0166537631369
+0 0 2 0 0 62 24 24 0 401.923076923077 7.105427357601e-15 7.105427357601e-15 1.01631653374398
+0 0 2 0 0 64 24 24 0 423.076923076923 7.105427357601e-15 7.105427357601e-15 1.01597850949553
+0 0 2 0 0 66 24 24 0 444.230769230769 7.105427357601e-15 7.105427357601e-15 1.01564086558789
+0 0 2 0 0 68 24 24 0 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.01530476537934
+0 0 2 0 0 70 24 24 0 486.538461538462 7.105427357601e-15 7.105427357601e-15 1.01497152088152
+0 0 2 0 0 72 24 24 0 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.01464185210732
+0 0 2 0 0 74 24 24 0 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.01431674486978
+0 0 2 0 0 76 24 24 0 550 7.105427357601e-15 7.105427357601e-15 1.013996707195
+0 0 2 0 0 78 24 24 0 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.01368246223245
+0 0 2 0 0 80 24 24 0 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.01337434606597
+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.01307288239855
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 12 24 24 15.8653846153846 -126.923076923077 0 0 1.02000190582673
+4 0 1 0 0 16 24 24 15.8653846153846 -84.6153846153846 0 0 1.02029650218007
+4 0 1 0 0 20 24 24 15.8653846153846 -42.3076923076923 0 0 1.0204779476003
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 1.02053889656745
+4 0 1 0 0 28 24 24 15.8653846153846 42.3076923076923 0 0 1.0204779476003
+4 0 1 0 0 32 24 24 15.8653846153846 84.6153846153846 0 0 1.02029650218007
+4 0 1 0 0 36 24 24 15.8653846153846 126.923076923077 0 0 1.02000190582673
+4 0 1 0 0 40 24 24 15.8653846153846 169.230769230769 0 0 1.01960604288395
+4 0 1 0 0 44 24 24 15.8653846153846 211.538461538462 0 0 1.01912382658015
+4 0 1 0 0 48 24 24 15.8653846153846 253.846153846154 0 0 1.01857099798557
+4 0 1 0 0 52 24 24 15.8653846153846 296.153846153846 0 0 1.01796437252778
+4 0 1 0 0 56 24 24 15.8653846153846 338.461538461538 0 0 1.01732028669392
+4 0 1 0 0 60 24 24 15.8653846153846 380.769230769231 0 0 1.01665375935663
+4 0 1 0 0 64 24 24 15.8653846153846 423.076923076923 0 0 1.01597850947619
+4 0 1 0 0 68 24 24 15.8653846153846 465.384615384615 0 0 1.01530477262851
+4 0 1 0 0 72 24 24 15.8653846153846 507.692307692308 0 0 1.01464184880339
+4 0 1 0 0 76 24 24 15.8653846153846 550 0 0 1.01399670380828
+4 0 1 0 0 80 24 24 15.8653846153846 592.307692307692 0 0 1.01337434846686
+4 0 1 0 0 84 24 24 15.8653846153846 634.615384615385 0 0 1.01277823478373
+4 0 1 0 0 88 24 24 15.8653846153846 676.923076923077 0 0 1.01221034349158
+4 0 1 0 0 92 24 24 15.8653846153846 719.230769230769 0 0 1.01167201049925
+4 0 1 0 0 96 24 24 15.8653846153846 761.538461538462 0 0 1.01116343840812
+4 0 1 0 0 100 24 24 15.8653846153846 803.846153846154 0 0 1.01068440073091
+4 0 1 0 0 104 24 24 15.8653846153846 846.153846153846 0 0 1.01023395132451
+4 0 1 0 0 108 24 24 15.8653846153846 888.461538461538 0 0 1.00981117584912
+4 0 1 0 0 112 24 24 15.8653846153846 930.769230769231 0 0 1.00941461230867
+4 0 1 0 0 116 24 24 15.8653846153846 973.076923076923 0 0 1.00904301596833
+4 0 1 0 0 120 24 24 15.8653846153846 1015.38461538462 0 0 1.00869482819017
+4 0 1 0 0 124 24 24 15.8653846153846 1057.69230769231 0 0 1.00836855216216
+4 0 1 0 0 128 24 24 15.8653846153846 1100 0 0 1.00806278226117
+4 0 1 0 0 132 24 24 15.8653846153846 1142.30769230769 0 0 1.00777604402561
+4 0 1 0 0 136 24 24 15.8653846153846 1184.61538461538 0 0 1.0075070652788
+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 1.00725445058788
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 18 24 24 15.8653846153846 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.02040196224827
+4 0 2 0 0 20 24 24 15.8653846153846 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.0204779476003
+4 0 2 0 0 22 24 24 15.8653846153846 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.02052368968278
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053889656745
+4 0 2 0 0 26 24 24 15.8653846153846 21.1538461538462 7.105427357601e-15 7.105427357601e-15 1.02052368968278
+4 0 2 0 0 28 24 24 15.8653846153846 42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.0204779476003
+4 0 2 0 0 30 24 24 15.8653846153846 63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.02040196224827
+4 0 2 0 0 32 24 24 15.8653846153846 84.6153846153846 7.105427357601e-15 7.105427357601e-15 1.02029650218007
+4 0 2 0 0 34 24 24 15.8653846153846 105.769230769231 7.105427357601e-15 7.105427357601e-15 1.02016271863434
+4 0 2 0 0 36 24 24 15.8653846153846 126.923076923077 7.105427357601e-15 7.105427357601e-15 1.02000190582673
+4 0 2 0 0 38 24 24 15.8653846153846 148.076923076923 7.105427357601e-15 7.105427357601e-15 1.01981569469289
+4 0 2 0 0 40 24 24 15.8653846153846 169.230769230769 7.105427357601e-15 7.105427357601e-15 1.01960604288395
+4 0 2 0 0 42 24 24 15.8653846153846 190.384615384615 7.105427357601e-15 7.105427357601e-15 1.01937496845542
+4 0 2 0 0 44 24 24 15.8653846153846 211.538461538462 7.105427357601e-15 7.105427357601e-15 1.01912382658015
+4 0 2 0 0 46 24 24 15.8653846153846 232.692307692308 7.105427357601e-15 7.105427357601e-15 1.0188548957763
+4 0 2 0 0 48 24 24 15.8653846153846 253.846153846154 7.105427357601e-15 7.105427357601e-15 1.01857099798557
+4 0 2 0 0 50 24 24 15.8653846153846 275 7.105427357601e-15 7.105427357601e-15 1.01827303103994
+4 0 2 0 0 52 24 24 15.8653846153846 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.01796437252778
+4 0 2 0 0 54 24 24 15.8653846153846 317.307692307692 7.105427357601e-15 7.105427357601e-15 1.01764577357953
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+4 0 2 0 0 58 24 24 15.8653846153846 359.615384615385 7.105427357601e-15 7.105427357601e-15 1.01698906388341
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+4 0 2 0 0 82 24 24 15.8653846153846 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.01307288756185
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 1.00725444477156
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 1.00725443473058
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.01368246669424
+12 0 2 0 0 80 24 24 47.5961538461538 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.01337437087815
+12 0 2 0 0 82 24 24 47.5961538461538 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.01307289366035
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 0 24 24 63.4615384615385 -253.846153846154 0 0 1.01857100977358
+16 0 0 0 0 8 24 24 63.4615384615385 -169.230769230769 0 0 1.01960607876512
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+16 0 0 0 0 32 24 24 63.4615384615385 84.6153846153846 0 0 1.02029648631004
+16 0 0 0 0 40 24 24 63.4615384615385 169.230769230769 0 0 1.01960607876512
+16 0 0 0 0 48 24 24 63.4615384615385 253.846153846154 0 0 1.01857100977358
+16 0 0 0 0 56 24 24 63.4615384615385 338.461538461539 0 0 1.01732032852982
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+16 0 0 0 0 192 24 24 63.4615384615385 1776.92307692308 0 0 1.00501738131814
+16 0 0 0 0 200 24 24 63.4615384615385 1861.53846153846 0 0 1.00478891689609
+16 0 0 0 0 208 24 24 63.4615384615385 1946.15384615385 0 0 1.00458034711499
+16 0 0 0 0 216 24 24 63.4615384615385 2030.76923076923 0 0 1.00438918768821
+16 0 0 0 0 224 24 24 63.4615384615385 2115.38461538462 0 0 1.00421334736244
+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 1.00405093847858
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 12 24 24 63.4615384615385 -126.923076923077 0 0 1.020001819824
+16 0 1 0 0 16 24 24 63.4615384615385 -84.6153846153846 0 0 1.02029648631004
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+16 0 1 0 0 32 24 24 63.4615384615385 84.6153846153846 0 0 1.02029648631004
+16 0 1 0 0 36 24 24 63.4615384615385 126.923076923077 0 0 1.020001819824
+16 0 1 0 0 40 24 24 63.4615384615385 169.230769230769 0 0 1.01960607876512
+16 0 1 0 0 44 24 24 63.4615384615385 211.538461538462 0 0 1.01912384668371
+16 0 1 0 0 48 24 24 63.4615384615385 253.846153846154 0 0 1.01857100977358
+16 0 1 0 0 52 24 24 63.4615384615385 296.153846153846 0 0 1.01796444240742
+16 0 1 0 0 56 24 24 63.4615384615385 338.461538461538 0 0 1.01732032852982
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+16 0 1 0 0 76 24 24 63.4615384615385 550 0 0 1.01399665891685
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+16 0 1 0 0 88 24 24 63.4615384615385 676.923076923077 0 0 1.01221031858263
+16 0 1 0 0 92 24 24 63.4615384615385 719.230769230769 0 0 1.01167202658146
+16 0 1 0 0 96 24 24 63.4615384615385 761.538461538462 0 0 1.01116342252477
+16 0 1 0 0 100 24 24 63.4615384615385 803.846153846154 0 0 1.01068437211587
+16 0 1 0 0 104 24 24 63.4615384615385 846.153846153846 0 0 1.01023392705917
+16 0 1 0 0 108 24 24 63.4615384615385 888.461538461538 0 0 1.00981114675028
+16 0 1 0 0 112 24 24 63.4615384615385 930.769230769231 0 0 1.00941457645346
+16 0 1 0 0 116 24 24 63.4615384615385 973.076923076923 0 0 1.00904297575402
+16 0 1 0 0 120 24 24 63.4615384615385 1015.38461538462 0 0 1.00869478592924
+16 0 1 0 0 124 24 24 63.4615384615385 1057.69230769231 0 0 1.00836851152926
+16 0 1 0 0 128 24 24 63.4615384615385 1100 0 0 1.00806274455499
+16 0 1 0 0 132 24 24 63.4615384615385 1142.30769230769 0 0 1.00777600812835
+16 0 1 0 0 136 24 24 63.4615384615385 1184.61538461538 0 0 1.00750703156818
+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 1.00725442058022
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 18 24 24 63.4615384615385 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.0204019151969
+16 0 2 0 0 20 24 24 63.4615384615385 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047785648051
+16 0 2 0 0 22 24 24 63.4615384615385 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.02052370727191
+16 0 2 0 0 24 24 24 63.4615384615385 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053889000137
+16 0 2 0 0 26 24 24 63.4615384615385 21.1538461538462 7.105427357601e-15 7.105427357601e-15 1.02052370727191
+16 0 2 0 0 28 24 24 63.4615384615385 42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047785648051
+16 0 2 0 0 30 24 24 63.4615384615385 63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.0204019151969
+16 0 2 0 0 32 24 24 63.4615384615385 84.6153846153846 7.105427357601e-15 7.105427357601e-15 1.02029648631004
+16 0 2 0 0 34 24 24 63.4615384615385 105.769230769231 7.105427357601e-15 7.105427357601e-15 1.02016265171597
+16 0 2 0 0 36 24 24 63.4615384615385 126.923076923077 7.105427357601e-15 7.105427357601e-15 1.020001819824
+16 0 2 0 0 38 24 24 63.4615384615385 148.076923076923 7.105427357601e-15 7.105427357601e-15 1.01981572230124
+16 0 2 0 0 40 24 24 63.4615384615385 169.230769230769 7.105427357601e-15 7.105427357601e-15 1.01960607876512
+16 0 2 0 0 42 24 24 63.4615384615385 190.384615384615 7.105427357601e-15 7.105427357601e-15 1.01937496023612
+16 0 2 0 0 44 24 24 63.4615384615385 211.538461538462 7.105427357601e-15 7.105427357601e-15 1.01912384668371
+16 0 2 0 0 46 24 24 63.4615384615385 232.692307692308 7.105427357601e-15 7.105427357601e-15 1.01885485142032
+16 0 2 0 0 48 24 24 63.4615384615385 253.846153846154 7.105427357601e-15 7.105427357601e-15 1.01857100977358
+16 0 2 0 0 50 24 24 63.4615384615385 275 7.105427357601e-15 7.105427357601e-15 1.01827302403964
+16 0 2 0 0 52 24 24 63.4615384615385 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.01796444240742
+16 0 2 0 0 54 24 24 63.4615384615385 317.307692307692 7.105427357601e-15 7.105427357601e-15 1.01764566873148
+16 0 2 0 0 56 24 24 63.4615384615385 338.461538461538 7.105427357601e-15 7.105427357601e-15 1.01732032852982
+16 0 2 0 0 58 24 24 63.4615384615385 359.615384615385 7.105427357601e-15 7.105427357601e-15 1.01698911486026
+16 0 2 0 0 60 24 24 63.4615384615385 380.769230769231 7.105427357601e-15 7.105427357601e-15 1.01665377827369
+16 0 2 0 0 62 24 24 63.4615384615385 401.923076923077 7.105427357601e-15 7.105427357601e-15 1.01631646791768
+16 0 2 0 0 64 24 24 63.4615384615385 423.076923076923 7.105427357601e-15 7.105427357601e-15 1.01597841499936
+16 0 2 0 0 66 24 24 63.4615384615385 444.230769230769 7.105427357601e-15 7.105427357601e-15 1.01564085760063
+16 0 2 0 0 68 24 24 63.4615384615385 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.01530484375326
+16 0 2 0 0 70 24 24 63.4615384615385 486.538461538462 7.105427357601e-15 7.105427357601e-15 1.0149715559355
+16 0 2 0 0 72 24 24 63.4615384615385 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.01464182022911
+16 0 2 0 0 74 24 24 63.4615384615385 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.01431669366019
+16 0 2 0 0 76 24 24 63.4615384615385 550 7.105427357601e-15 7.105427357601e-15 1.01399665891685
+16 0 2 0 0 78 24 24 63.4615384615385 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.01368244899044
+16 0 2 0 0 80 24 24 63.4615384615385 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.01337436565112
+16 0 2 0 0 82 24 24 63.4615384615385 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.01307289025707
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 12 24 24 79.3269230769231 -126.923076923077 0 0 1.02000196016817
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+20 0 1 0 0 36 24 24 79.3269230769231 126.923076923077 0 0 1.02000196016817
+20 0 1 0 0 40 24 24 79.3269230769231 169.230769230769 0 0 1.01960604498735
+20 0 1 0 0 44 24 24 79.3269230769231 211.538461538462 0 0 1.01912377658406
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+20 0 1 0 0 116 24 24 79.3269230769231 973.076923076923 0 0 1.00904295709193
+20 0 1 0 0 120 24 24 79.3269230769231 1015.38461538462 0 0 1.00869476061461
+20 0 1 0 0 124 24 24 79.3269230769231 1057.69230769231 0 0 1.00836848710385
+20 0 1 0 0 128 24 24 79.3269230769231 1100 0 0 1.00806272270714
+20 0 1 0 0 132 24 24 79.3269230769231 1142.30769230769 0 0 1.0077759873372
+20 0 1 0 0 136 24 24 79.3269230769231 1184.61538461538 0 0 1.00750701190184
+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 1.00725440284918
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 18 24 24 79.3269230769231 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.02040194212887
+20 0 2 0 0 20 24 24 79.3269230769231 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047793271006
+20 0 2 0 0 22 24 24 79.3269230769231 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.0205236014659
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+20 0 2 0 0 28 24 24 79.3269230769231 42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047793271006
+20 0 2 0 0 30 24 24 79.3269230769231 63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.02040194212887
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+20 0 2 0 0 36 24 24 79.3269230769231 126.923076923077 7.105427357601e-15 7.105427357601e-15 1.02000196016817
+20 0 2 0 0 38 24 24 79.3269230769231 148.076923076923 7.105427357601e-15 7.105427357601e-15 1.01981556532444
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+20 0 2 0 0 50 24 24 79.3269230769231 275 7.105427357601e-15 7.105427357601e-15 1.01827318264425
+20 0 2 0 0 52 24 24 79.3269230769231 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.01796424250295
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+20 0 2 0 0 56 24 24 79.3269230769231 338.461538461538 7.105427357601e-15 7.105427357601e-15 1.01732034049223
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+20 0 2 0 0 64 24 24 79.3269230769231 423.076923076923 7.105427357601e-15 7.105427357601e-15 1.01597847131105
+20 0 2 0 0 66 24 24 79.3269230769231 444.230769230769 7.105427357601e-15 7.105427357601e-15 1.01564087948153
+20 0 2 0 0 68 24 24 79.3269230769231 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.01530481928186
+20 0 2 0 0 70 24 24 79.3269230769231 486.538461538462 7.105427357601e-15 7.105427357601e-15 1.01497153014257
+20 0 2 0 0 72 24 24 79.3269230769231 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.01464180144124
+20 0 2 0 0 74 24 24 79.3269230769231 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.01431666826346
+20 0 2 0 0 76 24 24 79.3269230769231 550 7.105427357601e-15 7.105427357601e-15 1.01399662606354
+20 0 2 0 0 78 24 24 79.3269230769231 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.01368241299496
+20 0 2 0 0 80 24 24 79.3269230769231 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.01337433166821
+20 0 2 0 0 82 24 24 79.3269230769231 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.01307287173094
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 3 0 0 21 24 24 79.3269230769231 -31.7307692307692 7.105427357601e-15 7.105427357601e-15 1.02050456406476
+20 0 3 0 0 22 24 24 79.3269230769231 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.0205236014659
+20 0 3 0 0 23 24 24 79.3269230769231 -10.5769230769231 7.105427357601e-15 7.105427357601e-15 1.0205350407539
+20 0 3 0 0 24 24 24 79.3269230769231 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.0205388697219
+20 0 3 0 0 25 24 24 79.3269230769231 10.5769230769231 7.105427357601e-15 7.105427357601e-15 1.0205350407539
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 140 24 24 111.057692307692 1226.92307692308 0 0 1.00725435691763
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 82 24 24 111.057692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.01307281007968
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 49 24 24 111.057692307692 264.423076923077 7.105427357601e-15 7.105427357601e-15 1.01842353930702
+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 1.01827296653629
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 1.01811996544024
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.01796440525174
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 1.01780620828509
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxx.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/gxx.y.asc
new file mode 100644
index 000000000..4eb8ff00e
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxx.y.asc
@@ -0,0 +1,864 @@
+# ADMBASE::gxx y (gxx)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 1.01857101160765
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 1.01960605224309
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+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 1.00421334648009
+0 0 0 0 0 24 232 24 0 0 2200 0 1.00405104893667
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 1.013996707195
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.01368246223245
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.01337434606597
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307288239855
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 1.02000196114796
+4 0 1 0 0 24 16 24 15.8653846153846 0 -84.6153846153846 0 1.02029644673345
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+4 0 1 0 0 24 36 24 15.8653846153846 0 126.923076923077 0 1.02000196114796
+4 0 1 0 0 24 40 24 15.8653846153846 0 169.230769230769 0 1.01960599449463
+4 0 1 0 0 24 44 24 15.8653846153846 0 211.538461538462 0 1.01912388791235
+4 0 1 0 0 24 48 24 15.8653846153846 0 253.846153846154 0 1.01857109890443
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+4 0 1 0 0 24 100 24 15.8653846153846 0 803.846153846154 0 1.01068440069894
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+4 0 1 0 0 24 108 24 15.8653846153846 0 888.461538461538 0 1.00981117560364
+4 0 1 0 0 24 112 24 15.8653846153846 0 930.769230769231 0 1.00941461225564
+4 0 1 0 0 24 116 24 15.8653846153846 0 973.076923076923 0 1.00904301593376
+4 0 1 0 0 24 120 24 15.8653846153846 0 1015.38461538462 0 1.00869482814811
+4 0 1 0 0 24 124 24 15.8653846153846 0 1057.69230769231 0 1.0083685521255
+4 0 1 0 0 24 128 24 15.8653846153846 0 1100 0 1.00806278222948
+4 0 1 0 0 24 132 24 15.8653846153846 0 1142.30769230769 0 1.00777604399794
+4 0 1 0 0 24 136 24 15.8653846153846 0 1184.61538461538 0 1.00750706525467
+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 1.00725445056721
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 18 24 15.8653846153846 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.02040185061589
+4 0 2 0 0 24 20 24 15.8653846153846 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 1.02047789790441
+4 0 2 0 0 24 22 24 15.8653846153846 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 1.02052375200684
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053889656745
+4 0 2 0 0 24 26 24 15.8653846153846 7.105427357601e-15 21.1538461538462 7.105427357601e-15 1.02052375200684
+4 0 2 0 0 24 28 24 15.8653846153846 7.105427357601e-15 42.3076923076923 7.105427357601e-15 1.02047789790441
+4 0 2 0 0 24 30 24 15.8653846153846 7.105427357601e-15 63.4615384615385 7.105427357601e-15 1.02040185061589
+4 0 2 0 0 24 32 24 15.8653846153846 7.105427357601e-15 84.6153846153846 7.105427357601e-15 1.02029644673345
+4 0 2 0 0 24 34 24 15.8653846153846 7.105427357601e-15 105.769230769231 7.105427357601e-15 1.02016270089192
+4 0 2 0 0 24 36 24 15.8653846153846 7.105427357601e-15 126.923076923077 7.105427357601e-15 1.02000196114796
+4 0 2 0 0 24 38 24 15.8653846153846 7.105427357601e-15 148.076923076923 7.105427357601e-15 1.01981575191535
+4 0 2 0 0 24 40 24 15.8653846153846 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.01960599449463
+4 0 2 0 0 24 42 24 15.8653846153846 7.105427357601e-15 190.384615384615 7.105427357601e-15 1.01937496863914
+4 0 2 0 0 24 44 24 15.8653846153846 7.105427357601e-15 211.538461538462 7.105427357601e-15 1.01912388791235
+4 0 2 0 0 24 46 24 15.8653846153846 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.01885480493915
+4 0 2 0 0 24 48 24 15.8653846153846 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.01857109890443
+4 0 2 0 0 24 50 24 15.8653846153846 7.105427357601e-15 275 7.105427357601e-15 1.01827292771521
+4 0 2 0 0 24 52 24 15.8653846153846 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.01796446395597
+4 0 2 0 0 24 54 24 15.8653846153846 7.105427357601e-15 317.307692307692 7.105427357601e-15 1.01764569798779
+4 0 2 0 0 24 56 24 15.8653846153846 7.105427357601e-15 338.461538461538 7.105427357601e-15 1.01732030948849
+4 0 2 0 0 24 58 24 15.8653846153846 7.105427357601e-15 359.615384615385 7.105427357601e-15 1.01698908699066
+4 0 2 0 0 24 60 24 15.8653846153846 7.105427357601e-15 380.769230769231 7.105427357601e-15 1.01665372571107
+4 0 2 0 0 24 62 24 15.8653846153846 7.105427357601e-15 401.923076923077 7.105427357601e-15 1.01631652224272
+4 0 2 0 0 24 64 24 15.8653846153846 7.105427357601e-15 423.076923076923 7.105427357601e-15 1.01597852736616
+4 0 2 0 0 24 66 24 15.8653846153846 7.105427357601e-15 444.230769230769 7.105427357601e-15 1.01564088230531
+4 0 2 0 0 24 68 24 15.8653846153846 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.01530477271247
+4 0 2 0 0 24 70 24 15.8653846153846 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.01497152225321
+4 0 2 0 0 24 72 24 15.8653846153846 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.01464184882267
+4 0 2 0 0 24 74 24 15.8653846153846 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.01431674050482
+4 0 2 0 0 24 76 24 15.8653846153846 7.105427357601e-15 550 7.105427357601e-15 1.01399670380334
+4 0 2 0 0 24 78 24 15.8653846153846 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.01368246153249
+4 0 2 0 0 24 80 24 15.8653846153846 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.01337434849008
+4 0 2 0 0 24 82 24 15.8653846153846 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307288755676
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 0 24 31.7307692307692 0 -253.846153846154 0 1.01857113388235
+8 0 0 0 0 24 8 24 31.7307692307692 0 -169.230769230769 0 1.01960598170853
+8 0 0 0 0 24 16 24 31.7307692307692 0 -84.6153846153846 0 1.02029635648813
+8 0 0 0 0 24 24 24 31.7307692307692 0 0 0 1.02053894530132
+8 0 0 0 0 24 32 24 31.7307692307692 0 84.6153846153846 0 1.02029635648813
+8 0 0 0 0 24 40 24 31.7307692307692 0 169.230769230769 0 1.01960598170853
+8 0 0 0 0 24 48 24 31.7307692307692 0 253.846153846154 0 1.01857113388235
+8 0 0 0 0 24 56 24 31.7307692307692 0 338.461538461539 0 1.01732040613148
+8 0 0 0 0 24 64 24 31.7307692307692 0 423.076923076923 0 1.01597859722643
+8 0 0 0 0 24 72 24 31.7307692307692 0 507.692307692308 0 1.0146418293472
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+8 0 0 0 0 24 88 24 31.7307692307692 0 676.923076923077 0 1.01221034009905
+8 0 0 0 0 24 96 24 31.7307692307692 0 761.538461538462 0 1.01116343041689
+8 0 0 0 0 24 104 24 31.7307692307692 0 846.153846153846 0 1.0102339511135
+8 0 0 0 0 24 112 24 31.7307692307692 0 930.769230769231 0 1.00941460127515
+8 0 0 0 0 24 120 24 31.7307692307692 0 1015.38461538462 0 1.00869482090433
+8 0 0 0 0 24 128 24 31.7307692307692 0 1100 0 1.00806277356039
+8 0 0 0 0 24 136 24 31.7307692307692 0 1184.61538461538 0 1.00750705880207
+8 0 0 0 0 24 144 24 31.7307692307692 0 1269.23076923077 0 1.00701710413043
+8 0 0 0 0 24 152 24 31.7307692307692 0 1353.84615384615 0 1.00658358873644
+8 0 0 0 0 24 160 24 31.7307692307692 0 1438.46153846154 0 1.00619841225792
+8 0 0 0 0 24 168 24 31.7307692307692 0 1523.07692307692 0 1.00585464261428
+8 0 0 0 0 24 176 24 31.7307692307692 0 1607.69230769231 0 1.00554639607197
+8 0 0 0 0 24 184 24 31.7307692307692 0 1692.30769230769 0 1.00526870563311
+8 0 0 0 0 24 192 24 31.7307692307692 0 1776.92307692308 0 1.00501738726257
+8 0 0 0 0 24 200 24 31.7307692307692 0 1861.53846153846 0 1.00478892178471
+8 0 0 0 0 24 208 24 31.7307692307692 0 1946.15384615385 0 1.00458035124051
+8 0 0 0 0 24 216 24 31.7307692307692 0 2030.76923076923 0 1.00438918992072
+8 0 0 0 0 24 224 24 31.7307692307692 0 2115.38461538462 0 1.00421334678826
+8 0 0 0 0 24 232 24 31.7307692307692 0 2200 0 1.0040509629624
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 12 24 31.7307692307692 0 -126.923076923077 0 1.02000198297558
+8 0 1 0 0 24 16 24 31.7307692307692 0 -84.6153846153846 0 1.02029635648813
+8 0 1 0 0 24 20 24 31.7307692307692 0 -42.3076923076923 0 1.02047780734466
+8 0 1 0 0 24 24 24 31.7307692307692 0 0 0 1.02053894530132
+8 0 1 0 0 24 28 24 31.7307692307692 0 42.3076923076923 0 1.02047780734466
+8 0 1 0 0 24 32 24 31.7307692307692 0 84.6153846153846 0 1.02029635648813
+8 0 1 0 0 24 36 24 31.7307692307692 0 126.923076923077 0 1.02000198297558
+8 0 1 0 0 24 40 24 31.7307692307692 0 169.230769230769 0 1.01960598170853
+8 0 1 0 0 24 44 24 31.7307692307692 0 211.538461538462 0 1.01912396008879
+8 0 1 0 0 24 48 24 31.7307692307692 0 253.846153846154 0 1.01857113388235
+8 0 1 0 0 24 52 24 31.7307692307692 0 296.153846153846 0 1.01796452081868
+8 0 1 0 0 24 56 24 31.7307692307692 0 338.461538461538 0 1.01732040613148
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+8 0 1 0 0 24 72 24 31.7307692307692 0 507.692307692308 0 1.0146418293472
+8 0 1 0 0 24 76 24 31.7307692307692 0 550 0 1.01399668735817
+8 0 1 0 0 24 80 24 31.7307692307692 0 592.307692307692 0 1.01337433230742
+8 0 1 0 0 24 84 24 31.7307692307692 0 634.615384615385 0 1.01277824542709
+8 0 1 0 0 24 88 24 31.7307692307692 0 676.923076923077 0 1.01221034009905
+8 0 1 0 0 24 92 24 31.7307692307692 0 719.230769230769 0 1.01167200595613
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+8 0 1 0 0 24 104 24 31.7307692307692 0 846.153846153846 0 1.0102339511135
+8 0 1 0 0 24 108 24 31.7307692307692 0 888.461538461538 0 1.0098111715619
+8 0 1 0 0 24 112 24 31.7307692307692 0 930.769230769231 0 1.00941460127515
+8 0 1 0 0 24 116 24 31.7307692307692 0 973.076923076923 0 1.00904300607515
+8 0 1 0 0 24 120 24 31.7307692307692 0 1015.38461538462 0 1.00869482090433
+8 0 1 0 0 24 124 24 31.7307692307692 0 1057.69230769231 0 1.00836854426355
+8 0 1 0 0 24 128 24 31.7307692307692 0 1100 0 1.00806277356039
+8 0 1 0 0 24 132 24 31.7307692307692 0 1142.30769230769 0 1.0077760362835
+8 0 1 0 0 24 136 24 31.7307692307692 0 1184.61538461538 0 1.00750705880207
+8 0 1 0 0 24 140 24 31.7307692307692 0 1226.92307692308 0 1.00725444468885
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 18 24 31.7307692307692 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.02040179522406
+8 0 2 0 0 24 20 24 31.7307692307692 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 1.02047780734466
+8 0 2 0 0 24 22 24 31.7307692307692 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 1.02052382636639
+8 0 2 0 0 24 24 24 31.7307692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053894530132
+8 0 2 0 0 24 26 24 31.7307692307692 7.105427357601e-15 21.1538461538462 7.105427357601e-15 1.02052382636639
+8 0 2 0 0 24 28 24 31.7307692307692 7.105427357601e-15 42.3076923076923 7.105427357601e-15 1.02047780734466
+8 0 2 0 0 24 30 24 31.7307692307692 7.105427357601e-15 63.4615384615385 7.105427357601e-15 1.02040179522406
+8 0 2 0 0 24 32 24 31.7307692307692 7.105427357601e-15 84.6153846153846 7.105427357601e-15 1.02029635648813
+8 0 2 0 0 24 34 24 31.7307692307692 7.105427357601e-15 105.769230769231 7.105427357601e-15 1.02016264070226
+8 0 2 0 0 24 36 24 31.7307692307692 7.105427357601e-15 126.923076923077 7.105427357601e-15 1.02000198297558
+8 0 2 0 0 24 38 24 31.7307692307692 7.105427357601e-15 148.076923076923 7.105427357601e-15 1.019815821853
+8 0 2 0 0 24 40 24 31.7307692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.01960598170853
+8 0 2 0 0 24 42 24 31.7307692307692 7.105427357601e-15 190.384615384615 7.105427357601e-15 1.01937491912332
+8 0 2 0 0 24 44 24 31.7307692307692 7.105427357601e-15 211.538461538462 7.105427357601e-15 1.01912396008879
+8 0 2 0 0 24 46 24 31.7307692307692 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.01885475007994
+8 0 2 0 0 24 48 24 31.7307692307692 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.01857113388235
+8 0 2 0 0 24 50 24 31.7307692307692 7.105427357601e-15 275 7.105427357601e-15 1.01827289139398
+8 0 2 0 0 24 52 24 31.7307692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.01796452081868
+8 0 2 0 0 24 54 24 31.7307692307692 7.105427357601e-15 317.307692307692 7.105427357601e-15 1.01764560540745
+8 0 2 0 0 24 56 24 31.7307692307692 7.105427357601e-15 338.461538461538 7.105427357601e-15 1.01732040613148
+8 0 2 0 0 24 58 24 31.7307692307692 7.105427357601e-15 359.615384615385 7.105427357601e-15 1.01698907884835
+8 0 2 0 0 24 60 24 31.7307692307692 7.105427357601e-15 380.769230769231 7.105427357601e-15 1.01665365128323
+8 0 2 0 0 24 62 24 31.7307692307692 7.105427357601e-15 401.923076923077 7.105427357601e-15 1.01631654792005
+8 0 2 0 0 24 64 24 31.7307692307692 7.105427357601e-15 423.076923076923 7.105427357601e-15 1.01597859722643
+8 0 2 0 0 24 66 24 31.7307692307692 7.105427357601e-15 444.230769230769 7.105427357601e-15 1.01564091263965
+8 0 2 0 0 24 68 24 31.7307692307692 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.01530474638426
+8 0 2 0 0 24 70 24 31.7307692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.01497149315682
+8 0 2 0 0 24 72 24 31.7307692307692 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.0146418293472
+8 0 2 0 0 24 74 24 31.7307692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.01431672295632
+8 0 2 0 0 24 76 24 31.7307692307692 7.105427357601e-15 550 7.105427357601e-15 1.01399668735817
+8 0 2 0 0 24 78 24 31.7307692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.01368244372748
+8 0 2 0 0 24 80 24 31.7307692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.01337433230742
+8 0 2 0 0 24 82 24 31.7307692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307288570291
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 12 24 47.5961538461538 0 -126.923076923077 0 1.02000197773301
+12 0 1 0 0 24 16 24 47.5961538461538 0 -84.6153846153846 0 1.02029634613468
+12 0 1 0 0 24 20 24 47.5961538461538 0 -42.3076923076923 0 1.02047788890037
+12 0 1 0 0 24 24 24 47.5961538461538 0 0 0 1.02053891298279
+12 0 1 0 0 24 28 24 47.5961538461538 0 42.3076923076923 0 1.02047788890037
+12 0 1 0 0 24 32 24 47.5961538461538 0 84.6153846153846 0 1.02029634613468
+12 0 1 0 0 24 36 24 47.5961538461538 0 126.923076923077 0 1.02000197773301
+12 0 1 0 0 24 40 24 47.5961538461538 0 169.230769230769 0 1.01960600101236
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 1.00725443572851
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 18 24 47.5961538461538 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.02040184960786
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+12 0 2 0 0 24 68 24 47.5961538461538 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.01530470467412
+12 0 2 0 0 24 70 24 47.5961538461538 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.01497145714571
+12 0 2 0 0 24 72 24 47.5961538461538 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.01464180688901
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+12 0 2 0 0 24 76 24 47.5961538461538 7.105427357601e-15 550 7.105427357601e-15 1.01399666955128
+12 0 2 0 0 24 78 24 47.5961538461538 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.01368241866751
+12 0 2 0 0 24 80 24 47.5961538461538 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.01337430243228
+12 0 2 0 0 24 82 24 47.5961538461538 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307286628745
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 232 24 63.4615384615385 0 2200 0 1.00405093873823
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 12 24 63.4615384615385 0 -126.923076923077 0 1.0200019513152
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+16 0 1 0 0 24 128 24 63.4615384615385 0 1100 0 1.00806274376111
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 1.00725442340678
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 18 24 63.4615384615385 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.02040181514646
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+16 0 2 0 0 24 38 24 63.4615384615385 7.105427357601e-15 148.076923076923 7.105427357601e-15 1.01981572118745
+16 0 2 0 0 24 40 24 63.4615384615385 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.01960597899316
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+16 0 2 0 0 24 50 24 63.4615384615385 7.105427357601e-15 275 7.105427357601e-15 1.01827297413615
+16 0 2 0 0 24 52 24 63.4615384615385 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.01796440754988
+16 0 2 0 0 24 54 24 63.4615384615385 7.105427357601e-15 317.307692307692 7.105427357601e-15 1.01764575476178
+16 0 2 0 0 24 56 24 63.4615384615385 7.105427357601e-15 338.461538461538 7.105427357601e-15 1.01732030017879
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+16 0 2 0 0 24 62 24 63.4615384615385 7.105427357601e-15 401.923076923077 7.105427357601e-15 1.01631655561851
+16 0 2 0 0 24 64 24 63.4615384615385 7.105427357601e-15 423.076923076923 7.105427357601e-15 1.01597855406965
+16 0 2 0 0 24 66 24 63.4615384615385 7.105427357601e-15 444.230769230769 7.105427357601e-15 1.01564084782516
+16 0 2 0 0 24 68 24 63.4615384615385 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.01530468123379
+16 0 2 0 0 24 70 24 63.4615384615385 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.01497144225777
+16 0 2 0 0 24 72 24 63.4615384615385 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.01464179677912
+16 0 2 0 0 24 74 24 63.4615384615385 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.01431669907089
+16 0 2 0 0 24 76 24 63.4615384615385 7.105427357601e-15 550 7.105427357601e-15 1.01399666550813
+16 0 2 0 0 24 78 24 63.4615384615385 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.0136824111553
+16 0 2 0 0 24 80 24 63.4615384615385 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.01337428986954
+16 0 2 0 0 24 82 24 63.4615384615385 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307284857445
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 2 0 0 24 78 24 95.1923076923077 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.01368243190504
+24 0 2 0 0 24 80 24 95.1923076923077 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.01337431211516
+24 0 2 0 0 24 82 24 95.1923076923077 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307285518783
+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 3 0 0 24 21 24 95.1923076923077 7.105427357601e-15 -31.7307692307692 7.105427357601e-15 1.02050461397908
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+24 0 3 0 0 24 43 24 95.1923076923077 7.105427357601e-15 200.961538461539 7.105427357601e-15 1.019251800328
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+24 0 3 0 0 24 45 24 95.1923076923077 7.105427357601e-15 222.115384615385 7.105427357601e-15 1.01899140540232
+24 0 3 0 0 24 46 24 95.1923076923077 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.01885479104264
+24 0 3 0 0 24 47 24 95.1923076923077 7.105427357601e-15 243.269230769231 7.105427357601e-15 1.01871474914646
+24 0 3 0 0 24 48 24 95.1923076923077 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.01857108299308
+24 0 3 0 0 24 49 24 95.1923076923077 7.105427357601e-15 264.423076923077 7.105427357601e-15 1.01842356191338
+24 0 3 0 0 24 50 24 95.1923076923077 7.105427357601e-15 275 7.105427357601e-15 1.01827294858987
+24 0 3 0 0 24 51 24 95.1923076923077 7.105427357601e-15 285.576923076923 7.105427357601e-15 1.0181200196478
+24 0 3 0 0 24 52 24 95.1923076923077 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.01796450096157
+24 0 3 0 0 24 53 24 95.1923076923077 7.105427357601e-15 306.730769230769 7.105427357601e-15 1.0178061271252
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 1 0 0 24 12 24 111.057692307692 0 -126.923076923077 0 1.02000203270394
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+28 0 1 0 0 24 128 24 111.057692307692 0 1100 0 1.00806267078296
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+28 0 1 0 0 24 136 24 111.057692307692 0 1184.61538461538 0 1.00750697508873
+28 0 1 0 0 24 140 24 111.057692307692 0 1226.92307692308 0 1.00725436763812
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 24 18 24 111.057692307692 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.02040187480886
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+28 0 2 0 0 24 76 24 111.057692307692 7.105427357601e-15 550 7.105427357601e-15 1.01399667548532
+28 0 2 0 0 24 78 24 111.057692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.0136824301755
+28 0 2 0 0 24 80 24 111.057692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.01337431358742
+28 0 2 0 0 24 82 24 111.057692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307285837111
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 40 24 111.057692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.01960604286876
+28 0 3 0 0 24 41 24 111.057692307692 7.105427357601e-15 179.807692307692 7.105427357601e-15 1.01949310735173
+28 0 3 0 0 24 42 24 111.057692307692 7.105427357601e-15 190.384615384615 7.105427357601e-15 1.0193749964329
+28 0 3 0 0 24 43 24 111.057692307692 7.105427357601e-15 200.961538461539 7.105427357601e-15 1.01925182794058
+28 0 3 0 0 24 44 24 111.057692307692 7.105427357601e-15 211.538461538462 7.105427357601e-15 1.01912391873223
+28 0 3 0 0 24 45 24 111.057692307692 7.105427357601e-15 222.115384615385 7.105427357601e-15 1.01899141421422
+28 0 3 0 0 24 46 24 111.057692307692 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.01885482325074
+28 0 3 0 0 24 47 24 111.057692307692 7.105427357601e-15 243.269230769231 7.105427357601e-15 1.01871474768033
+28 0 3 0 0 24 48 24 111.057692307692 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.01857105296491
+28 0 3 0 0 24 49 24 111.057692307692 7.105427357601e-15 264.423076923077 7.105427357601e-15 1.01842357832532
+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 1.01827300439408
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 1.01812001578057
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.01796443830222
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 1.01780610441034
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxx.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/gxx.z.asc
new file mode 100644
index 000000000..5caa63aeb
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxx.z.asc
@@ -0,0 +1,864 @@
+# ADMBASE::gxx z (gxx)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 1.01857101160765
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 1.01960605224309
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 1.02029641693505
+0 0 0 0 0 24 24 24 0 0 0 0 1.02053896717033
+0 0 0 0 0 24 24 32 0 0 0 84.6153846153846 1.02029641693505
+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 1.01960605224309
+0 0 0 0 0 24 24 48 0 0 0 253.846153846154 1.01857101160766
+0 0 0 0 0 24 24 56 0 0 0 338.461538461539 1.01732029130819
+0 0 0 0 0 24 24 64 0 0 0 423.076923076923 1.01597850949553
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+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 1.00658359419917
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+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 1.00478892340349
+0 0 0 0 0 24 24 208 0 0 0 1946.15384615385 1.00458035259249
+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 1.00438919102191
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 1.00421334648009
+0 0 0 0 0 24 24 232 0 0 0 2200 1.00405104893667
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 1.02000193918476
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 1.02029641693505
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 1.02047789124297
+0 0 1 0 0 24 24 24 0 0 0 0 1.02053896717033
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+0 0 1 0 0 24 24 32 0 0 0 84.6153846153846 1.02029641693505
+0 0 1 0 0 24 24 36 0 0 0 126.923076923077 1.02000193918476
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+0 0 1 0 0 24 24 84 0 0 0 634.615384615385 1.01277822896438
+0 0 1 0 0 24 24 88 0 0 0 676.923076923077 1.01221034872541
+0 0 1 0 0 24 24 92 0 0 0 719.230769230769 1.01167200897287
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+0 0 1 0 0 24 24 108 0 0 0 888.461538461538 1.00981117939165
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+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 1.0075070674037
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 1.00725445252533
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.0204018487379
+0 0 2 0 0 24 24 20 0 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.02047789124297
+0 0 2 0 0 24 24 22 0 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.02052374357434
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+0 0 2 0 0 24 24 26 0 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.02052374357434
+0 0 2 0 0 24 24 28 0 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.02047789124297
+0 0 2 0 0 24 24 30 0 7.105427357601e-15 7.105427357601e-15 63.4615384615385 1.0204018487379
+0 0 2 0 0 24 24 32 0 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.02029641693505
+0 0 2 0 0 24 24 34 0 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.02016267502063
+0 0 2 0 0 24 24 36 0 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.02000193918476
+0 0 2 0 0 24 24 38 0 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.01981576358925
+0 0 2 0 0 24 24 40 0 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.01960605224309
+0 0 2 0 0 24 24 42 0 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.01937494147213
+0 0 2 0 0 24 24 44 0 7.105427357601e-15 7.105427357601e-15 211.538461538462 1.01912384749715
+0 0 2 0 0 24 24 46 0 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.01885488535482
+0 0 2 0 0 24 24 48 0 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.01857101160766
+0 0 2 0 0 24 24 50 0 7.105427357601e-15 7.105427357601e-15 275 1.01827301031043
+0 0 2 0 0 24 24 52 0 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.01796438337812
+0 0 2 0 0 24 24 54 0 7.105427357601e-15 7.105427357601e-15 317.307692307692 1.01764576019633
+0 0 2 0 0 24 24 56 0 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.01732029130819
+0 0 2 0 0 24 24 58 0 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.01698905647444
+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.0166537631369
+0 0 2 0 0 24 24 62 0 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.01631653374398
+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.01597850949553
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.01564086558789
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.01530476537934
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.01497152088152
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.01464185210732
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.01431674486978
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 1.013996707195
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.01368246223245
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.01337434606597
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.01307288239855
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 1.02000196114796
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 1.02029644673345
+4 0 1 0 0 24 24 20 15.8653846153846 0 0 -42.3076923076923 1.02047789790441
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+4 0 1 0 0 24 24 28 15.8653846153846 0 0 42.3076923076923 1.02047789790441
+4 0 1 0 0 24 24 32 15.8653846153846 0 0 84.6153846153846 1.02029644673345
+4 0 1 0 0 24 24 36 15.8653846153846 0 0 126.923076923077 1.02000196114796
+4 0 1 0 0 24 24 40 15.8653846153846 0 0 169.230769230769 1.01960599449463
+4 0 1 0 0 24 24 44 15.8653846153846 0 0 211.538461538462 1.01912388791235
+4 0 1 0 0 24 24 48 15.8653846153846 0 0 253.846153846154 1.01857109890443
+4 0 1 0 0 24 24 52 15.8653846153846 0 0 296.153846153846 1.01796446395597
+4 0 1 0 0 24 24 56 15.8653846153846 0 0 338.461538461538 1.01732030948849
+4 0 1 0 0 24 24 60 15.8653846153846 0 0 380.769230769231 1.01665372571107
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+4 0 1 0 0 24 24 72 15.8653846153846 0 0 507.692307692308 1.01464184882267
+4 0 1 0 0 24 24 76 15.8653846153846 0 0 550 1.01399670380334
+4 0 1 0 0 24 24 80 15.8653846153846 0 0 592.307692307692 1.01337434849008
+4 0 1 0 0 24 24 84 15.8653846153846 0 0 634.615384615385 1.01277823474814
+4 0 1 0 0 24 24 88 15.8653846153846 0 0 676.923076923077 1.01221034346654
+4 0 1 0 0 24 24 92 15.8653846153846 0 0 719.230769230769 1.01167201048804
+4 0 1 0 0 24 24 96 15.8653846153846 0 0 761.538461538462 1.01116343839434
+4 0 1 0 0 24 24 100 15.8653846153846 0 0 803.846153846154 1.01068440069894
+4 0 1 0 0 24 24 104 15.8653846153846 0 0 846.153846153846 1.01023395134505
+4 0 1 0 0 24 24 108 15.8653846153846 0 0 888.461538461538 1.00981117560364
+4 0 1 0 0 24 24 112 15.8653846153846 0 0 930.769230769231 1.00941461225564
+4 0 1 0 0 24 24 116 15.8653846153846 0 0 973.076923076923 1.00904301593376
+4 0 1 0 0 24 24 120 15.8653846153846 0 0 1015.38461538462 1.00869482814811
+4 0 1 0 0 24 24 124 15.8653846153846 0 0 1057.69230769231 1.0083685521255
+4 0 1 0 0 24 24 128 15.8653846153846 0 0 1100 1.00806278222948
+4 0 1 0 0 24 24 132 15.8653846153846 0 0 1142.30769230769 1.00777604399794
+4 0 1 0 0 24 24 136 15.8653846153846 0 0 1184.61538461538 1.00750706525467
+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 1.00725445056721
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 24 18 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.02040185061589
+4 0 2 0 0 24 24 20 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.02047789790441
+4 0 2 0 0 24 24 22 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.02052375200684
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053889656745
+4 0 2 0 0 24 24 26 15.8653846153846 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.02052375200684
+4 0 2 0 0 24 24 28 15.8653846153846 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.02047789790441
+4 0 2 0 0 24 24 30 15.8653846153846 7.105427357601e-15 7.105427357601e-15 63.4615384615385 1.02040185061589
+4 0 2 0 0 24 24 32 15.8653846153846 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.02029644673345
+4 0 2 0 0 24 24 34 15.8653846153846 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.02016270089192
+4 0 2 0 0 24 24 36 15.8653846153846 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.02000196114796
+4 0 2 0 0 24 24 38 15.8653846153846 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.01981575191535
+4 0 2 0 0 24 24 40 15.8653846153846 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.01960599449463
+4 0 2 0 0 24 24 42 15.8653846153846 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.01937496863914
+4 0 2 0 0 24 24 44 15.8653846153846 7.105427357601e-15 7.105427357601e-15 211.538461538462 1.01912388791235
+4 0 2 0 0 24 24 46 15.8653846153846 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.01885480493915
+4 0 2 0 0 24 24 48 15.8653846153846 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.01857109890443
+4 0 2 0 0 24 24 50 15.8653846153846 7.105427357601e-15 7.105427357601e-15 275 1.01827292771521
+4 0 2 0 0 24 24 52 15.8653846153846 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.01796446395597
+4 0 2 0 0 24 24 54 15.8653846153846 7.105427357601e-15 7.105427357601e-15 317.307692307692 1.01764569798779
+4 0 2 0 0 24 24 56 15.8653846153846 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.01732030948849
+4 0 2 0 0 24 24 58 15.8653846153846 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.01698908699066
+4 0 2 0 0 24 24 60 15.8653846153846 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.01665372571107
+4 0 2 0 0 24 24 62 15.8653846153846 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.01631652224272
+4 0 2 0 0 24 24 64 15.8653846153846 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.01597852736616
+4 0 2 0 0 24 24 66 15.8653846153846 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.01564088230531
+4 0 2 0 0 24 24 68 15.8653846153846 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.01530477271247
+4 0 2 0 0 24 24 70 15.8653846153846 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.01497152225321
+4 0 2 0 0 24 24 72 15.8653846153846 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.01464184882267
+4 0 2 0 0 24 24 74 15.8653846153846 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.01431674050482
+4 0 2 0 0 24 24 76 15.8653846153846 7.105427357601e-15 7.105427357601e-15 550 1.01399670380334
+4 0 2 0 0 24 24 78 15.8653846153846 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.01368246153249
+4 0 2 0 0 24 24 80 15.8653846153846 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.01337434849008
+4 0 2 0 0 24 24 82 15.8653846153846 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.01307288755676
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 24 0 31.7307692307692 0 0 -253.846153846154 1.01857113388235
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+8 0 0 0 0 24 24 48 31.7307692307692 0 0 253.846153846154 1.01857113388235
+8 0 0 0 0 24 24 56 31.7307692307692 0 0 338.461538461539 1.01732040613148
+8 0 0 0 0 24 24 64 31.7307692307692 0 0 423.076923076923 1.01597859722643
+8 0 0 0 0 24 24 72 31.7307692307692 0 0 507.692307692308 1.0146418293472
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+8 0 0 0 0 24 24 88 31.7307692307692 0 0 676.923076923077 1.01221034009905
+8 0 0 0 0 24 24 96 31.7307692307692 0 0 761.538461538462 1.01116343041689
+8 0 0 0 0 24 24 104 31.7307692307692 0 0 846.153846153846 1.0102339511135
+8 0 0 0 0 24 24 112 31.7307692307692 0 0 930.769230769231 1.00941460127515
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+8 0 0 0 0 24 24 128 31.7307692307692 0 0 1100 1.00806277356039
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+8 0 0 0 0 24 24 152 31.7307692307692 0 0 1353.84615384615 1.00658358873644
+8 0 0 0 0 24 24 160 31.7307692307692 0 0 1438.46153846154 1.00619841225792
+8 0 0 0 0 24 24 168 31.7307692307692 0 0 1523.07692307692 1.00585464261428
+8 0 0 0 0 24 24 176 31.7307692307692 0 0 1607.69230769231 1.00554639607197
+8 0 0 0 0 24 24 184 31.7307692307692 0 0 1692.30769230769 1.00526870563311
+8 0 0 0 0 24 24 192 31.7307692307692 0 0 1776.92307692308 1.00501738726257
+8 0 0 0 0 24 24 200 31.7307692307692 0 0 1861.53846153846 1.00478892178471
+8 0 0 0 0 24 24 208 31.7307692307692 0 0 1946.15384615385 1.00458035124051
+8 0 0 0 0 24 24 216 31.7307692307692 0 0 2030.76923076923 1.00438918992072
+8 0 0 0 0 24 24 224 31.7307692307692 0 0 2115.38461538462 1.00421334678826
+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 1.0040509629624
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 24 12 31.7307692307692 0 0 -126.923076923077 1.02000198297558
+8 0 1 0 0 24 24 16 31.7307692307692 0 0 -84.6153846153846 1.02029635648813
+8 0 1 0 0 24 24 20 31.7307692307692 0 0 -42.3076923076923 1.02047780734466
+8 0 1 0 0 24 24 24 31.7307692307692 0 0 0 1.02053894530132
+8 0 1 0 0 24 24 28 31.7307692307692 0 0 42.3076923076923 1.02047780734466
+8 0 1 0 0 24 24 32 31.7307692307692 0 0 84.6153846153846 1.02029635648813
+8 0 1 0 0 24 24 36 31.7307692307692 0 0 126.923076923077 1.02000198297558
+8 0 1 0 0 24 24 40 31.7307692307692 0 0 169.230769230769 1.01960598170853
+8 0 1 0 0 24 24 44 31.7307692307692 0 0 211.538461538462 1.01912396008879
+8 0 1 0 0 24 24 48 31.7307692307692 0 0 253.846153846154 1.01857113388235
+8 0 1 0 0 24 24 52 31.7307692307692 0 0 296.153846153846 1.01796452081868
+8 0 1 0 0 24 24 56 31.7307692307692 0 0 338.461538461538 1.01732040613148
+8 0 1 0 0 24 24 60 31.7307692307692 0 0 380.769230769231 1.01665365128323
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+8 0 1 0 0 24 24 72 31.7307692307692 0 0 507.692307692308 1.0146418293472
+8 0 1 0 0 24 24 76 31.7307692307692 0 0 550 1.01399668735817
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+8 0 1 0 0 24 24 88 31.7307692307692 0 0 676.923076923077 1.01221034009905
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+8 0 1 0 0 24 24 96 31.7307692307692 0 0 761.538461538462 1.01116343041689
+8 0 1 0 0 24 24 100 31.7307692307692 0 0 803.846153846154 1.01068440686918
+8 0 1 0 0 24 24 104 31.7307692307692 0 0 846.153846153846 1.0102339511135
+8 0 1 0 0 24 24 108 31.7307692307692 0 0 888.461538461538 1.0098111715619
+8 0 1 0 0 24 24 112 31.7307692307692 0 0 930.769230769231 1.00941460127515
+8 0 1 0 0 24 24 116 31.7307692307692 0 0 973.076923076923 1.00904300607515
+8 0 1 0 0 24 24 120 31.7307692307692 0 0 1015.38461538462 1.00869482090433
+8 0 1 0 0 24 24 124 31.7307692307692 0 0 1057.69230769231 1.00836854426355
+8 0 1 0 0 24 24 128 31.7307692307692 0 0 1100 1.00806277356039
+8 0 1 0 0 24 24 132 31.7307692307692 0 0 1142.30769230769 1.0077760362835
+8 0 1 0 0 24 24 136 31.7307692307692 0 0 1184.61538461538 1.00750705880207
+8 0 1 0 0 24 24 140 31.7307692307692 0 0 1226.92307692308 1.00725444468885
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 24 18 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.02040179522406
+8 0 2 0 0 24 24 20 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.02047780734466
+8 0 2 0 0 24 24 22 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.02052382636639
+8 0 2 0 0 24 24 24 31.7307692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053894530132
+8 0 2 0 0 24 24 26 31.7307692307692 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.02052382636639
+8 0 2 0 0 24 24 28 31.7307692307692 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.02047780734466
+8 0 2 0 0 24 24 30 31.7307692307692 7.105427357601e-15 7.105427357601e-15 63.4615384615385 1.02040179522406
+8 0 2 0 0 24 24 32 31.7307692307692 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.02029635648813
+8 0 2 0 0 24 24 34 31.7307692307692 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.02016264070226
+8 0 2 0 0 24 24 36 31.7307692307692 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.02000198297558
+8 0 2 0 0 24 24 38 31.7307692307692 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.019815821853
+8 0 2 0 0 24 24 40 31.7307692307692 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.01960598170853
+8 0 2 0 0 24 24 42 31.7307692307692 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.01937491912332
+8 0 2 0 0 24 24 44 31.7307692307692 7.105427357601e-15 7.105427357601e-15 211.538461538462 1.01912396008879
+8 0 2 0 0 24 24 46 31.7307692307692 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.01885475007994
+8 0 2 0 0 24 24 48 31.7307692307692 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.01857113388235
+8 0 2 0 0 24 24 50 31.7307692307692 7.105427357601e-15 7.105427357601e-15 275 1.01827289139398
+8 0 2 0 0 24 24 52 31.7307692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.01796452081868
+8 0 2 0 0 24 24 54 31.7307692307692 7.105427357601e-15 7.105427357601e-15 317.307692307692 1.01764560540745
+8 0 2 0 0 24 24 56 31.7307692307692 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.01732040613148
+8 0 2 0 0 24 24 58 31.7307692307692 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.01698907884835
+8 0 2 0 0 24 24 60 31.7307692307692 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.01665365128323
+8 0 2 0 0 24 24 62 31.7307692307692 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.01631654792005
+8 0 2 0 0 24 24 64 31.7307692307692 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.01597859722643
+8 0 2 0 0 24 24 66 31.7307692307692 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.01564091263965
+8 0 2 0 0 24 24 68 31.7307692307692 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.01530474638426
+8 0 2 0 0 24 24 70 31.7307692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.01497149315682
+8 0 2 0 0 24 24 72 31.7307692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.0146418293472
+8 0 2 0 0 24 24 74 31.7307692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.01431672295632
+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 1.01399668735817
+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.01368244372748
+8 0 2 0 0 24 24 80 31.7307692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.01337433230742
+8 0 2 0 0 24 24 82 31.7307692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.01307288570291
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 24 12 47.5961538461538 0 0 -126.923076923077 1.02000197773301
+12 0 1 0 0 24 24 16 47.5961538461538 0 0 -84.6153846153846 1.02029634613468
+12 0 1 0 0 24 24 20 47.5961538461538 0 0 -42.3076923076923 1.02047788890037
+12 0 1 0 0 24 24 24 47.5961538461538 0 0 0 1.02053891298279
+12 0 1 0 0 24 24 28 47.5961538461538 0 0 42.3076923076923 1.02047788890037
+12 0 1 0 0 24 24 32 47.5961538461538 0 0 84.6153846153846 1.02029634613468
+12 0 1 0 0 24 24 36 47.5961538461538 0 0 126.923076923077 1.02000197773301
+12 0 1 0 0 24 24 40 47.5961538461538 0 0 169.230769230769 1.01960600101236
+12 0 1 0 0 24 24 44 47.5961538461538 0 0 211.538461538462 1.01912390037437
+12 0 1 0 0 24 24 48 47.5961538461538 0 0 253.846153846154 1.01857104486682
+12 0 1 0 0 24 24 52 47.5961538461538 0 0 296.153846153846 1.0179644321483
+12 0 1 0 0 24 24 56 47.5961538461538 0 0 338.461538461538 1.01732036928992
+12 0 1 0 0 24 24 60 47.5961538461538 0 0 380.769230769231 1.01665369642493
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+12 0 1 0 0 24 24 68 47.5961538461538 0 0 465.384615384615 1.01530470467412
+12 0 1 0 0 24 24 72 47.5961538461538 0 0 507.692307692308 1.01464180688901
+12 0 1 0 0 24 24 76 47.5961538461538 0 0 550 1.01399666955128
+12 0 1 0 0 24 24 80 47.5961538461538 0 0 592.307692307692 1.01337430243228
+12 0 1 0 0 24 24 84 47.5961538461538 0 0 634.615384615385 1.01277823965825
+12 0 1 0 0 24 24 88 47.5961538461538 0 0 676.923076923077 1.01221034779951
+12 0 1 0 0 24 24 92 47.5961538461538 0 0 719.230769230769 1.01167198884515
+12 0 1 0 0 24 24 96 47.5961538461538 0 0 761.538461538462 1.01116342882095
+12 0 1 0 0 24 24 100 47.5961538461538 0 0 803.846153846154 1.01068441242726
+12 0 1 0 0 24 24 104 47.5961538461538 0 0 846.153846153846 1.01023395029184
+12 0 1 0 0 24 24 108 47.5961538461538 0 0 888.461538461538 1.00981115829389
+12 0 1 0 0 24 24 112 47.5961538461538 0 0 930.769230769231 1.00941458333981
+12 0 1 0 0 24 24 116 47.5961538461538 0 0 973.076923076923 1.0090429893602
+12 0 1 0 0 24 24 120 47.5961538461538 0 0 1015.38461538462 1.00869480681715
+12 0 1 0 0 24 24 124 47.5961538461538 0 0 1057.69230769231 1.00836853096447
+12 0 1 0 0 24 24 128 47.5961538461538 0 0 1100 1.00806276094125
+12 0 1 0 0 24 24 132 47.5961538461538 0 0 1142.30769230769 1.00777602517348
+12 0 1 0 0 24 24 136 47.5961538461538 0 0 1184.61538461538 1.00750704916196
+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 1.00725443572851
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 24 18 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.02040184960786
+12 0 2 0 0 24 24 20 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.02047788890037
+12 0 2 0 0 24 24 22 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.02052378332661
+12 0 2 0 0 24 24 24 47.5961538461538 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053891298279
+12 0 2 0 0 24 24 26 47.5961538461538 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.02052378332661
+12 0 2 0 0 24 24 28 47.5961538461538 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.02047788890037
+12 0 2 0 0 24 24 30 47.5961538461538 7.105427357601e-15 7.105427357601e-15 63.4615384615385 1.02040184960786
+12 0 2 0 0 24 24 32 47.5961538461538 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.02029634613468
+12 0 2 0 0 24 24 34 47.5961538461538 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.02016262124118
+12 0 2 0 0 24 24 36 47.5961538461538 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.02000197773301
+12 0 2 0 0 24 24 38 47.5961538461538 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.01981573222472
+12 0 2 0 0 24 24 40 47.5961538461538 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.01960600101236
+12 0 2 0 0 24 24 42 47.5961538461538 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.01937493964522
+12 0 2 0 0 24 24 44 47.5961538461538 7.105427357601e-15 7.105427357601e-15 211.538461538462 1.01912390037437
+12 0 2 0 0 24 24 46 47.5961538461538 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.01885482566129
+12 0 2 0 0 24 24 48 47.5961538461538 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.01857104486682
+12 0 2 0 0 24 24 50 47.5961538461538 7.105427357601e-15 7.105427357601e-15 275 1.01827299192643
+12 0 2 0 0 24 24 52 47.5961538461538 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.0179644321483
+12 0 2 0 0 24 24 54 47.5961538461538 7.105427357601e-15 7.105427357601e-15 317.307692307692 1.01764569268705
+12 0 2 0 0 24 24 56 47.5961538461538 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.01732036928992
+12 0 2 0 0 24 24 58 47.5961538461538 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.01698904364203
+12 0 2 0 0 24 24 60 47.5961538461538 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.01665369642493
+12 0 2 0 0 24 24 62 47.5961538461538 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.01631660022392
+12 0 2 0 0 24 24 64 47.5961538461538 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.01597861378713
+12 0 2 0 0 24 24 66 47.5961538461538 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.0156408970687
+12 0 2 0 0 24 24 68 47.5961538461538 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.01530470467412
+12 0 2 0 0 24 24 70 47.5961538461538 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.01497145714571
+12 0 2 0 0 24 24 72 47.5961538461538 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.01464180688901
+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.01431670478138
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 1.01399666955128
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.01368241866751
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.01337430243228
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.01307286628745
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 24 24 0 63.4615384615385 0 0 -253.846153846154 1.01857105792774
+16 0 0 0 0 24 24 8 63.4615384615385 0 0 -169.230769230769 1.01960597899316
+16 0 0 0 0 24 24 16 63.4615384615385 0 0 -84.6153846153846 1.02029640171102
+16 0 0 0 0 24 24 24 63.4615384615385 0 0 0 1.02053889000137
+16 0 0 0 0 24 24 32 63.4615384615385 0 0 84.6153846153846 1.02029640171102
+16 0 0 0 0 24 24 40 63.4615384615385 0 0 169.230769230769 1.01960597899316
+16 0 0 0 0 24 24 48 63.4615384615385 0 0 253.846153846154 1.01857105792774
+16 0 0 0 0 24 24 56 63.4615384615385 0 0 338.461538461539 1.01732030017879
+16 0 0 0 0 24 24 64 63.4615384615385 0 0 423.076923076923 1.01597855406965
+16 0 0 0 0 24 24 72 63.4615384615385 0 0 507.692307692308 1.01464179677912
+16 0 0 0 0 24 24 80 63.4615384615385 0 0 592.307692307692 1.01337428986954
+16 0 0 0 0 24 24 88 63.4615384615385 0 0 676.923076923077 1.01221034969472
+16 0 0 0 0 24 24 96 63.4615384615385 0 0 761.538461538462 1.01116343229658
+16 0 0 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 1.01023394581759
+16 0 0 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 1.00941455832375
+16 0 0 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 1.00869478655579
+16 0 0 0 0 24 24 128 63.4615384615385 0 0 1100 1.00806274376111
+16 0 0 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 1.00750703596232
+16 0 0 0 0 24 24 144 63.4615384615385 0 0 1269.23076923077 1.00701708391597
+16 0 0 0 0 24 24 152 63.4615384615385 0 0 1353.84615384615 1.00658357155718
+16 0 0 0 0 24 24 160 63.4615384615385 0 0 1438.46153846154 1.0061983990806
+16 0 0 0 0 24 24 168 63.4615384615385 0 0 1523.07692307692 1.00585463189339
+16 0 0 0 0 24 24 176 63.4615384615385 0 0 1607.69230769231 1.00554638727855
+16 0 0 0 0 24 24 184 63.4615384615385 0 0 1692.30769230769 1.00526869842079
+16 0 0 0 0 24 24 192 63.4615384615385 0 0 1776.92307692308 1.00501738135897
+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 1.00478891696678
+16 0 0 0 0 24 24 208 63.4615384615385 0 0 1946.15384615385 1.00458034726748
+16 0 0 0 0 24 24 216 63.4615384615385 0 0 2030.76923076923 1.00438918660171
+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 1.00421334890918
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 1.00405093873823
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 1.0200019513152
+16 0 1 0 0 24 24 16 63.4615384615385 0 0 -84.6153846153846 1.02029640171102
+16 0 1 0 0 24 24 20 63.4615384615385 0 0 -42.3076923076923 1.02047786354981
+16 0 1 0 0 24 24 24 63.4615384615385 0 0 0 1.02053889000137
+16 0 1 0 0 24 24 28 63.4615384615385 0 0 42.3076923076923 1.02047786354981
+16 0 1 0 0 24 24 32 63.4615384615385 0 0 84.6153846153846 1.02029640171102
+16 0 1 0 0 24 24 36 63.4615384615385 0 0 126.923076923077 1.0200019513152
+16 0 1 0 0 24 24 40 63.4615384615385 0 0 169.230769230769 1.01960597899316
+16 0 1 0 0 24 24 44 63.4615384615385 0 0 211.538461538462 1.01912386367307
+16 0 1 0 0 24 24 48 63.4615384615385 0 0 253.846153846154 1.01857105792774
+16 0 1 0 0 24 24 52 63.4615384615385 0 0 296.153846153846 1.01796440754988
+16 0 1 0 0 24 24 56 63.4615384615385 0 0 338.461538461538 1.01732030017879
+16 0 1 0 0 24 24 60 63.4615384615385 0 0 380.769230769231 1.01665374617959
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+16 0 1 0 0 24 24 68 63.4615384615385 0 0 465.384615384615 1.01530468123379
+16 0 1 0 0 24 24 72 63.4615384615385 0 0 507.692307692308 1.01464179677912
+16 0 1 0 0 24 24 76 63.4615384615385 0 0 550 1.01399666550813
+16 0 1 0 0 24 24 80 63.4615384615385 0 0 592.307692307692 1.01337428986954
+16 0 1 0 0 24 24 84 63.4615384615385 0 0 634.615384615385 1.01277822049496
+16 0 1 0 0 24 24 88 63.4615384615385 0 0 676.923076923077 1.01221034969472
+16 0 1 0 0 24 24 92 63.4615384615385 0 0 719.230769230769 1.01167197192599
+16 0 1 0 0 24 24 96 63.4615384615385 0 0 761.538461538462 1.01116343229658
+16 0 1 0 0 24 24 100 63.4615384615385 0 0 803.846153846154 1.01068440939151
+16 0 1 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 1.01023394581759
+16 0 1 0 0 24 24 108 63.4615384615385 0 0 888.461538461538 1.00981114644638
+16 0 1 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 1.00941455832375
+16 0 1 0 0 24 24 116 63.4615384615385 0 0 973.076923076923 1.00904296479102
+16 0 1 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 1.00869478655579
+16 0 1 0 0 24 24 124 63.4615384615385 0 0 1057.69230769231 1.00836851229195
+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 1.00806274376111
+16 0 1 0 0 24 24 132 63.4615384615385 0 0 1142.30769230769 1.00777601008457
+16 0 1 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 1.00750703596232
+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 1.00725442340678
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 24 18 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.02040181514646
+16 0 2 0 0 24 24 20 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.02047786354981
+16 0 2 0 0 24 24 22 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.02052368255759
+16 0 2 0 0 24 24 24 63.4615384615385 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053889000137
+16 0 2 0 0 24 24 26 63.4615384615385 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.02052368255759
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+16 0 2 0 0 24 24 50 63.4615384615385 7.105427357601e-15 7.105427357601e-15 275 1.01827297413615
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+16 0 2 0 0 24 24 70 63.4615384615385 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.01497144225777
+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.01464179677912
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+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 1.01399666550813
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.0136824111553
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.01337428986954
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.01307284857445
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 24 116 79.3269230769231 0 0 973.076923076923 1.00904293592736
+20 0 1 0 0 24 24 120 79.3269230769231 0 0 1015.38461538462 1.00869476116011
+20 0 1 0 0 24 24 124 79.3269230769231 0 0 1057.69230769231 1.00836848927579
+20 0 1 0 0 24 24 128 79.3269230769231 0 0 1100 1.00806272312567
+20 0 1 0 0 24 24 132 79.3269230769231 0 0 1142.30769230769 1.00777599153653
+20 0 1 0 0 24 24 136 79.3269230769231 0 0 1184.61538461538 1.00750701921245
+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 1.00725440801007
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 24 24 18 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.02040178490565
+20 0 2 0 0 24 24 20 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.02047782155675
+20 0 2 0 0 24 24 22 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.02052371815238
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+20 0 2 0 0 24 24 50 79.3269230769231 7.105427357601e-15 7.105427357601e-15 275 1.01827288490253
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+20 0 2 0 0 24 24 60 79.3269230769231 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.0166537293785
+20 0 2 0 0 24 24 62 79.3269230769231 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.01631651614013
+20 0 2 0 0 24 24 64 79.3269230769231 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.01597851468004
+20 0 2 0 0 24 24 66 79.3269230769231 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.01564082734364
+20 0 2 0 0 24 24 68 79.3269230769231 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.01530468218207
+20 0 2 0 0 24 24 70 79.3269230769231 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.01497144398599
+20 0 2 0 0 24 24 72 79.3269230769231 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.01464179541776
+20 0 2 0 0 24 24 74 79.3269230769231 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.01431670210727
+20 0 2 0 0 24 24 76 79.3269230769231 7.105427357601e-15 7.105427357601e-15 550 1.01399667347516
+20 0 2 0 0 24 24 78 79.3269230769231 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.0136824220043
+20 0 2 0 0 24 24 80 79.3269230769231 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.0133742998084
+20 0 2 0 0 24 24 82 79.3269230769231 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.01307284799428
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 3 0 0 24 24 21 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -31.7307692307692 1.02050457312444
+20 0 3 0 0 24 24 22 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.02052371815238
+20 0 3 0 0 24 24 23 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -10.5769230769231 1.02053510997298
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+20 0 3 0 0 24 24 36 79.3269230769231 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.02000191294576
+20 0 3 0 0 24 24 37 79.3269230769231 7.105427357601e-15 7.105427357601e-15 137.5 1.01991191703393
+20 0 3 0 0 24 24 38 79.3269230769231 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.01981579085945
+20 0 3 0 0 24 24 39 79.3269230769231 7.105427357601e-15 7.105427357601e-15 158.653846153846 1.0197136991549
+20 0 3 0 0 24 24 40 79.3269230769231 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.0196059797579
+20 0 3 0 0 24 24 41 79.3269230769231 7.105427357601e-15 7.105427357601e-15 179.807692307692 1.01949302723898
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+20 0 3 0 0 24 24 45 79.3269230769231 7.105427357601e-15 7.105427357601e-15 222.115384615385 1.01899138244461
+20 0 3 0 0 24 24 46 79.3269230769231 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.01885479177025
+20 0 3 0 0 24 24 47 79.3269230769231 7.105427357601e-15 7.105427357601e-15 243.269230769231 1.01871478230409
+20 0 3 0 0 24 24 48 79.3269230769231 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.01857113003738
+20 0 3 0 0 24 24 49 79.3269230769231 7.105427357601e-15 7.105427357601e-15 264.423076923077 1.01842355244542
+20 0 3 0 0 24 24 50 79.3269230769231 7.105427357601e-15 7.105427357601e-15 275 1.01827288490253
+20 0 3 0 0 24 24 51 79.3269230769231 7.105427357601e-15 7.105427357601e-15 285.576923076923 1.0181199778383
+20 0 3 0 0 24 24 52 79.3269230769231 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.01796450178795
+20 0 3 0 0 24 24 53 79.3269230769231 7.105427357601e-15 7.105427357601e-15 306.730769230769 1.01780616633054
+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 0 0 0 24 24 192 95.1923076923077 0 0 1776.92307692308 1.0050173716429
+24 0 0 0 0 24 24 200 95.1923076923077 0 0 1861.53846153846 1.00478890904569
+24 0 0 0 0 24 24 208 95.1923076923077 0 0 1946.15384615385 1.00458034085835
+24 0 0 0 0 24 24 216 95.1923076923077 0 0 2030.76923076923 1.00438918131353
+24 0 0 0 0 24 24 224 95.1923076923077 0 0 2115.38461538462 1.00421335422075
+24 0 0 0 0 24 24 232 95.1923076923077 0 0 2200 1.0040509369847
+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 1 0 0 24 24 12 95.1923076923077 0 0 -126.923076923077 1.02000198888293
+24 0 1 0 0 24 24 16 95.1923076923077 0 0 -84.6153846153846 1.02029642770289
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 24 26 111.057692307692 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.02052377190008
+28 0 3 0 0 24 24 27 111.057692307692 7.105427357601e-15 7.105427357601e-15 31.7307692307692 1.02050463662169
+28 0 3 0 0 24 24 28 111.057692307692 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.02047789507663
+28 0 3 0 0 24 24 29 111.057692307692 7.105427357601e-15 7.105427357601e-15 52.8846153846154 1.02044359984697
+28 0 3 0 0 24 24 30 111.057692307692 7.105427357601e-15 7.105427357601e-15 63.4615384615385 1.02040187480903
+28 0 3 0 0 24 24 31 111.057692307692 7.105427357601e-15 7.105427357601e-15 74.0384615384616 1.02035277160616
+28 0 3 0 0 24 24 32 111.057692307692 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.02029643164948
+28 0 3 0 0 24 24 33 111.057692307692 7.105427357601e-15 7.105427357601e-15 95.1923076923077 1.02023301166701
+28 0 3 0 0 24 24 34 111.057692307692 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.02016272114313
+28 0 3 0 0 24 24 35 111.057692307692 7.105427357601e-15 7.105427357601e-15 116.346153846154 1.02008567117368
+28 0 3 0 0 24 24 36 111.057692307692 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.02000203270387
+28 0 3 0 0 24 24 37 111.057692307692 7.105427357601e-15 7.105427357601e-15 137.5 1.01991197514734
+28 0 3 0 0 24 24 38 111.057692307692 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.01981578644977
+28 0 3 0 0 24 24 39 111.057692307692 7.105427357601e-15 7.105427357601e-15 158.653846153846 1.01971371131202
+28 0 3 0 0 24 24 40 111.057692307692 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.0196060428688
+28 0 3 0 0 24 24 41 111.057692307692 7.105427357601e-15 7.105427357601e-15 179.807692307692 1.01949310735185
+28 0 3 0 0 24 24 42 111.057692307692 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.01937499643293
+28 0 3 0 0 24 24 43 111.057692307692 7.105427357601e-15 7.105427357601e-15 200.961538461539 1.01925182794058
+28 0 3 0 0 24 24 44 111.057692307692 7.105427357601e-15 7.105427357601e-15 211.538461538462 1.01912391873223
+28 0 3 0 0 24 24 45 111.057692307692 7.105427357601e-15 7.105427357601e-15 222.115384615385 1.01899141421421
+28 0 3 0 0 24 24 46 111.057692307692 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.01885482325073
+28 0 3 0 0 24 24 47 111.057692307692 7.105427357601e-15 7.105427357601e-15 243.269230769231 1.01871474768033
+28 0 3 0 0 24 24 48 111.057692307692 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.01857105296491
+28 0 3 0 0 24 24 49 111.057692307692 7.105427357601e-15 7.105427357601e-15 264.423076923077 1.01842357832532
+28 0 3 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 1.01827300439408
+28 0 3 0 0 24 24 51 111.057692307692 7.105427357601e-15 7.105427357601e-15 285.576923076923 1.01812001578057
+28 0 3 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.01796443830222
+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 1.01780610441034
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxx_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gxx_maximum.xg
new file mode 100644
index 000000000..bbff9f382
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxx_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gxx
+"gxx v time
+0.0000000000000e+00 1.0205389671703e+00
+7.9326923076923e+00 1.0205389449137e+00
+1.5865384615385e+01 1.0205388965674e+00
+2.3798076923077e+01 1.0205389080900e+00
+3.1730769230769e+01 1.0205389453013e+00
+3.9663461538462e+01 1.0205389329430e+00
+4.7596153846154e+01 1.0205389129828e+00
+5.5528846153846e+01 1.0205389056386e+00
+6.3461538461538e+01 1.0205388900014e+00
+7.1394230769231e+01 1.0205388712775e+00
+7.5360576923077e+01 1.0205388671812e+00
+7.9326923076923e+01 1.0205388697219e+00
+8.3293269230769e+01 1.0205388767676e+00
+8.7259615384615e+01 1.0205388849485e+00
+9.1225961538462e+01 1.0205388918870e+00
+9.5192307692308e+01 1.0205388975212e+00
+9.9158653846154e+01 1.0205389038085e+00
+1.0312500000000e+02 1.0205389133695e+00
+1.0709134615385e+02 1.0205389280522e+00
+1.1105769230769e+02 1.0205389480634e+00
+1.1502403846154e+02 1.0205389718810e+00
+1.1899038461538e+02 1.0205389968828e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxx_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gxx_minimum.xg
new file mode 100644
index 000000000..04985b68b
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxx_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gxx
+"gxx v time
+0.0000000000000e+00 1.0023373754491e+00
+7.9326923076923e+00 1.0092196270917e+00
+1.5865384615385e+01 1.0046788462189e+00
+2.3798076923077e+01 1.0092196316861e+00
+3.1730769230769e+01 1.0023373736405e+00
+3.9663461538462e+01 1.0092196361659e+00
+4.7596153846154e+01 1.0046788481857e+00
+5.5528846153846e+01 1.0092196424983e+00
+6.3461538461538e+01 1.0023373733964e+00
+7.1394230769231e+01 1.0092196511987e+00
+7.5360576923077e+01 1.0151321478002e+00
+7.9326923076923e+01 1.0046788521181e+00
+8.3293269230769e+01 1.0151321492232e+00
+8.7259615384615e+01 1.0092196617884e+00
+9.1225961538462e+01 1.0151321613643e+00
+9.5192307692308e+01 1.0023373736489e+00
+9.9158653846154e+01 1.0151321764951e+00
+1.0312500000000e+02 1.0092196761273e+00
+1.0709134615385e+02 1.0151321877364e+00
+1.1105769230769e+02 1.0046788580204e+00
+1.1502403846154e+02 1.0151321930833e+00
+1.1899038461538e+02 1.0092196933773e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxx_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gxx_norm1.xg
new file mode 100644
index 000000000..8f3fc6646
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxx_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gxx
+"gxx v time
+0.0000000000000e+00 1.0052425721081e+00
+7.9326923076923e+00 1.0148248546595e+00
+1.5865384615385e+01 1.0095143042778e+00
+2.3798076923077e+01 1.0148248558425e+00
+3.1730769230769e+01 1.0052425702610e+00
+3.9663461538462e+01 1.0148248581553e+00
+4.7596153846154e+01 1.0095143059152e+00
+5.5528846153846e+01 1.0148248617679e+00
+6.3461538461538e+01 1.0052425697889e+00
+7.1394230769231e+01 1.0148248666488e+00
+7.5360576923077e+01 1.0185084712336e+00
+7.9326923076923e+01 1.0095143095967e+00
+8.3293269230769e+01 1.0185084737329e+00
+8.7259615384615e+01 1.0148248737402e+00
+9.1225961538462e+01 1.0185084786327e+00
+9.5192307692308e+01 1.0052425698579e+00
+9.9158653846154e+01 1.0185084859682e+00
+1.0312500000000e+02 1.0148248837592e+00
+1.0709134615385e+02 1.0185084957411e+00
+1.1105769230769e+02 1.0095143165096e+00
+1.1502403846154e+02 1.0185085079217e+00
+1.1899038461538e+02 1.0148248967667e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxx_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gxx_norm2.xg
new file mode 100644
index 000000000..a4cdbbd64
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxx_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gxx
+"gxx v time
+0.0000000000000e+00 1.0052464489624e+00
+7.9326923076923e+00 1.0148278034362e+00
+1.5865384615385e+01 1.0095195647975e+00
+2.3798076923077e+01 1.0148278046163e+00
+3.1730769230769e+01 1.0052464471196e+00
+3.9663461538462e+01 1.0148278069236e+00
+4.7596153846154e+01 1.0095195664338e+00
+5.5528846153846e+01 1.0148278105281e+00
+6.3461538461538e+01 1.0052464466502e+00
+7.1394230769231e+01 1.0148278153990e+00
+7.5360576923077e+01 1.0185090306616e+00
+7.9326923076923e+01 1.0095195701141e+00
+8.3293269230769e+01 1.0185090331600e+00
+8.7259615384615e+01 1.0148278224834e+00
+9.1225961538462e+01 1.0185090380609e+00
+9.5192307692308e+01 1.0052464467228e+00
+9.9158653846154e+01 1.0185090453995e+00
+1.0312500000000e+02 1.0148278325017e+00
+1.0709134615385e+02 1.0185090551775e+00
+1.1105769230769e+02 1.0095195770374e+00
+1.1502403846154e+02 1.0185090673650e+00
+1.1899038461538e+02 1.0148278455151e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxy.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/gxy.x.asc
new file mode 100644
index 000000000..209b0531e
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxy.x.asc
@@ -0,0 +1,864 @@
+# ADMBASE::gxy x (gxy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 -0
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 -0
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 -0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 1.86458032143148e-32
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 -2.48610709524198e-32
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 -9.32290160715741e-33
+0 0 0 0 0 64 24 24 0 423.076923076923 0 0 7.45832128572593e-33
+0 0 0 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 0 0 0 96 24 24 0 761.538461538462 0 0 -0
+0 0 0 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 0 0 0 128 24 24 0 1100 0 0 0
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 0
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 0
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 0
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 0
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 0
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 0
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 -0
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 0
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 -0
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 0
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 0
+0 0 0 0 0 232 24 24 0 2200 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 -0
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 -0
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 -0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 0
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 2.48610709524198e-32
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 1.86458032143148e-32
+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 1.49166425714519e-32
+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 -2.48610709524198e-32
+0 0 1 0 0 52 24 24 0 296.153846153846 0 0 1.06547446938942e-32
+0 0 1 0 0 56 24 24 0 338.461538461538 0 0 -9.32290160715741e-33
+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 8.28702365080659e-33
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 7.45832128572593e-33
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 0
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 1 0 0 76 24 24 0 550 0 0 0
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 1 0 0 84 24 24 0 634.615384615385 0 0 0
+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 1 0 0 92 24 24 0 719.230769230769 0 0 0
+0 0 1 0 0 96 24 24 0 761.538461538462 0 0 -0
+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 0
+0 0 1 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 0
+0 0 1 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 0
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 0
+0 0 1 0 0 128 24 24 0 1100 0 0 0
+0 0 1 0 0 132 24 24 0 1142.30769230769 0 0 0
+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -0
+0 0 2 0 0 20 24 24 0 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 -0
+0 0 2 0 0 22 24 24 0 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 -0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 26 24 24 0 21.1538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 28 24 24 0 42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 30 24 24 0 63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 32 24 24 0 84.6153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 34 24 24 0 105.769230769231 7.105427357601e-15 7.105427357601e-15 -2.98332851429037e-32
+0 0 2 0 0 36 24 24 0 126.923076923077 7.105427357601e-15 7.105427357601e-15 2.48610709524198e-32
+0 0 2 0 0 38 24 24 0 148.076923076923 7.105427357601e-15 7.105427357601e-15 2.13094893877884e-32
+0 0 2 0 0 40 24 24 0 169.230769230769 7.105427357601e-15 7.105427357601e-15 1.86458032143148e-32
+0 0 2 0 0 42 24 24 0 190.384615384615 7.105427357601e-15 7.105427357601e-15 -1.65740473016132e-32
+0 0 2 0 0 44 24 24 0 211.538461538462 7.105427357601e-15 7.105427357601e-15 1.49166425714519e-32
+0 0 2 0 0 46 24 24 0 232.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 48 24 24 0 253.846153846154 7.105427357601e-15 7.105427357601e-15 -2.48610709524198e-32
+0 0 2 0 0 50 24 24 0 275 7.105427357601e-15 7.105427357601e-15 1.14743404395784e-32
+0 0 2 0 0 52 24 24 0 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.06547446938942e-32
+0 0 2 0 0 54 24 24 0 317.307692307692 7.105427357601e-15 7.105427357601e-15 1.98888567619358e-32
+0 0 2 0 0 56 24 24 0 338.461538461538 7.105427357601e-15 7.105427357601e-15 -9.32290160715741e-33
+0 0 2 0 0 58 24 24 0 359.615384615385 7.105427357601e-15 7.105427357601e-15 -8.7744956302658e-33
+0 0 2 0 0 60 24 24 0 380.769230769231 7.105427357601e-15 7.105427357601e-15 8.28702365080659e-33
+0 0 2 0 0 62 24 24 0 401.923076923077 7.105427357601e-15 7.105427357601e-15 7.85086451129045e-33
+0 0 2 0 0 64 24 24 0 423.076923076923 7.105427357601e-15 7.105427357601e-15 7.45832128572593e-33
+0 0 2 0 0 66 24 24 0 444.230769230769 7.105427357601e-15 7.105427357601e-15 3.67648852888608e-33
+0 0 2 0 0 68 24 24 0 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 70 24 24 0 486.538461538462 7.105427357601e-15 7.105427357601e-15 -4.65683059966684e-34
+0 0 2 0 0 72 24 24 0 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 74 24 24 0 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 76 24 24 0 550 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 78 24 24 0 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 80 24 24 0 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 12 24 24 15.8653846153846 -126.923076923077 0 0 -6.60600083721794e-18
+4 0 1 0 0 16 24 24 15.8653846153846 -84.6153846153846 0 0 1.13304965878361e-17
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 12 24 24 47.5961538461538 -126.923076923077 0 0 7.88907257556951e-19
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+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 78 24 24 63.4615384615385 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.24871286367785e-15
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
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+28 0 3 0 0 49 24 24 111.057692307692 264.423076923077 7.105427357601e-15 7.105427357601e-15 -2.10789744895432e-16
+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 -5.44734800440039e-16
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 -1.41822821787128e-15
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 -2.12677802006146e-15
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 -3.54285299219353e-15
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxy.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/gxy.y.asc
new file mode 100644
index 000000000..add7905d8
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxy.y.asc
@@ -0,0 +1,864 @@
+# ADMBASE::gxy y (gxy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 0 0 0 24 200 24 0 0 1861.53846153846 0 0
+0 0 0 0 0 24 208 24 0 0 1946.15384615385 0 -0
+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 0
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 0
+0 0 0 0 0 24 232 24 0 0 2200 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 -0
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 -0
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+0 0 1 0 0 24 32 24 0 0 84.6153846153846 0 0
+0 0 1 0 0 24 36 24 0 0 126.923076923077 0 2.48610709524198e-32
+0 0 1 0 0 24 40 24 0 0 169.230769230769 0 1.86458032143148e-32
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+0 0 1 0 0 24 52 24 0 0 296.153846153846 0 1.06547446938942e-32
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+0 0 1 0 0 24 64 24 0 0 423.076923076923 0 7.45832128572593e-33
+0 0 1 0 0 24 68 24 0 0 465.384615384615 0 0
+0 0 1 0 0 24 72 24 0 0 507.692307692308 0 0
+0 0 1 0 0 24 76 24 0 0 550 0 0
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+0 0 1 0 0 24 88 24 0 0 676.923076923077 0 0
+0 0 1 0 0 24 92 24 0 0 719.230769230769 0 0
+0 0 1 0 0 24 96 24 0 0 761.538461538462 0 -0
+0 0 1 0 0 24 100 24 0 0 803.846153846154 0 0
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+0 0 1 0 0 24 108 24 0 0 888.461538461538 0 0
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+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 2 0 0 24 34 24 0 7.105427357601e-15 105.769230769231 7.105427357601e-15 -2.98332851429037e-32
+0 0 2 0 0 24 36 24 0 7.105427357601e-15 126.923076923077 7.105427357601e-15 2.48610709524198e-32
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+0 0 2 0 0 24 40 24 0 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.86458032143148e-32
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+0 0 2 0 0 24 46 24 0 7.105427357601e-15 232.692307692308 7.105427357601e-15 0
+0 0 2 0 0 24 48 24 0 7.105427357601e-15 253.846153846154 7.105427357601e-15 -2.48610709524198e-32
+0 0 2 0 0 24 50 24 0 7.105427357601e-15 275 7.105427357601e-15 1.14743404395784e-32
+0 0 2 0 0 24 52 24 0 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.06547446938942e-32
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+0 0 2 0 0 24 56 24 0 7.105427357601e-15 338.461538461538 7.105427357601e-15 -9.32290160715741e-33
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+0 0 2 0 0 24 60 24 0 7.105427357601e-15 380.769230769231 7.105427357601e-15 8.28702365080659e-33
+0 0 2 0 0 24 62 24 0 7.105427357601e-15 401.923076923077 7.105427357601e-15 7.85086451129045e-33
+0 0 2 0 0 24 64 24 0 7.105427357601e-15 423.076923076923 7.105427357601e-15 7.45832128572593e-33
+0 0 2 0 0 24 66 24 0 7.105427357601e-15 444.230769230769 7.105427357601e-15 3.67648852888608e-33
+0 0 2 0 0 24 68 24 0 7.105427357601e-15 465.384615384615 7.105427357601e-15 0
+0 0 2 0 0 24 70 24 0 7.105427357601e-15 486.538461538462 7.105427357601e-15 -4.65683059966684e-34
+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+0 0 2 0 0 24 74 24 0 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 0
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 -6.60600083721794e-18
+4 0 1 0 0 24 16 24 15.8653846153846 0 -84.6153846153846 0 1.13304965878354e-17
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+4 0 1 0 0 24 32 24 15.8653846153846 0 84.6153846153846 0 -1.13304965878354e-17
+4 0 1 0 0 24 36 24 15.8653846153846 0 126.923076923077 0 6.60600083721794e-18
+4 0 1 0 0 24 40 24 15.8653846153846 0 169.230769230769 0 5.00403671455076e-18
+4 0 1 0 0 24 44 24 15.8653846153846 0 211.538461538462 0 -5.68764147376412e-18
+4 0 1 0 0 24 48 24 15.8653846153846 0 253.846153846154 0 1.56969780375271e-19
+4 0 1 0 0 24 52 24 15.8653846153846 0 296.153846153846 0 7.178370178166e-20
+4 0 1 0 0 24 56 24 15.8653846153846 0 338.461538461538 0 4.836191618059e-27
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+4 0 1 0 0 24 108 24 15.8653846153846 0 888.461538461538 0 -2.46586643619631e-14
+4 0 1 0 0 24 112 24 15.8653846153846 0 930.769230769231 0 0
+4 0 1 0 0 24 116 24 15.8653846153846 0 973.076923076923 0 2.7401393619934e-15
+4 0 1 0 0 24 120 24 15.8653846153846 0 1015.38461538462 0 0
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+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 2 0 0 24 22 24 15.8653846153846 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 9.46456664943268e-19
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+4 0 2 0 0 24 52 24 15.8653846153846 7.105427357601e-15 296.153846153846 7.105427357601e-15 7.178370178166e-20
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+4 0 2 0 0 24 56 24 15.8653846153846 7.105427357601e-15 338.461538461538 7.105427357601e-15 4.836191618059e-27
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+4 0 2 0 0 24 60 24 15.8653846153846 7.105427357601e-15 380.769230769231 7.105427357601e-15 -1.38943586341296e-22
+4 0 2 0 0 24 62 24 15.8653846153846 7.105427357601e-15 401.923076923077 7.105427357601e-15 -1.95052284225365e-20
+4 0 2 0 0 24 64 24 15.8653846153846 7.105427357601e-15 423.076923076923 7.105427357601e-15 -3.110294331563e-13
+4 0 2 0 0 24 66 24 15.8653846153846 7.105427357601e-15 444.230769230769 7.105427357601e-15 -1.74895913139461e-13
+4 0 2 0 0 24 68 24 15.8653846153846 7.105427357601e-15 465.384615384615 7.105427357601e-15 3.67249473850794e-34
+4 0 2 0 0 24 70 24 15.8653846153846 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.94200720472706e-14
+4 0 2 0 0 24 72 24 15.8653846153846 7.105427357601e-15 507.692307692308 7.105427357601e-15 -1.27175726540555e-34
+4 0 2 0 0 24 74 24 15.8653846153846 7.105427357601e-15 528.846153846154 7.105427357601e-15 -9.44441803083673e-35
+4 0 2 0 0 24 76 24 15.8653846153846 7.105427357601e-15 550 7.105427357601e-15 0
+4 0 2 0 0 24 78 24 15.8653846153846 7.105427357601e-15 571.153846153846 7.105427357601e-15 7.94096727805579e-36
+4 0 2 0 0 24 80 24 15.8653846153846 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+4 0 2 0 0 24 82 24 15.8653846153846 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 0
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 18 24 47.5961538461538 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 8.2221212450645e-18
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+12 0 2 0 0 24 76 24 47.5961538461538 7.105427357601e-15 550 7.105427357601e-15 -4.95635904663998e-17
+12 0 2 0 0 24 78 24 47.5961538461538 7.105427357601e-15 571.153846153846 7.105427357601e-15 5.03350876496009e-16
+12 0 2 0 0 24 80 24 47.5961538461538 7.105427357601e-15 592.307692307692 7.105427357601e-15 -5.12630362986418e-30
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 224 24 63.4615384615385 0 2115.38461538462 0 0
+16 0 0 0 0 24 232 24 63.4615384615385 0 2200 0 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 12 24 63.4615384615385 0 -126.923076923077 0 2.41499050472824e-19
+16 0 1 0 0 24 16 24 63.4615384615385 0 -84.6153846153846 0 6.75652554719089e-18
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+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 140 24 111.057692307692 0 1226.92307692308 0 -1.14676534218318e-17
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 -5.44848094788627e-16
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 -1.41833159638524e-15
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 -2.12683971815979e-15
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 -3.54284294308804e-15
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxy.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/gxy.z.asc
new file mode 100644
index 000000000..104544d4b
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxy.z.asc
@@ -0,0 +1,864 @@
+# ADMBASE::gxy z (gxy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 0
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+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 2.22044604925031e-16
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+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 0
+0 0 0 0 0 24 24 232 0 0 0 2200 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 0
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 0
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+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 2 0 0 24 24 44 0 7.105427357601e-15 7.105427357601e-15 211.538461538462 2.22044604925031e-16
+0 0 2 0 0 24 24 46 0 7.105427357601e-15 7.105427357601e-15 232.692307692308 0
+0 0 2 0 0 24 24 48 0 7.105427357601e-15 7.105427357601e-15 253.846153846154 -4.44089209850063e-16
+0 0 2 0 0 24 24 50 0 7.105427357601e-15 7.105427357601e-15 275 0
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+0 0 2 0 0 24 24 62 0 7.105427357601e-15 7.105427357601e-15 401.923076923077 0
+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 -2.22044604925031e-16
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 -1.10994620465871e-16
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 0
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.38640328177439e-17
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 0
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 0
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 2.79647947540563e-17
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 2.71813417705782e-17
+4 0 1 0 0 24 24 20 15.8653846153846 0 0 -42.3076923076923 2.9582788000581e-17
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+4 0 1 0 0 24 24 28 15.8653846153846 0 0 42.3076923076923 2.9582788000581e-17
+4 0 1 0 0 24 24 32 15.8653846153846 0 0 84.6153846153846 2.71813417705782e-17
+4 0 1 0 0 24 24 36 15.8653846153846 0 0 126.923076923077 2.79647947540563e-17
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 -1.07450559944964e-56
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 24 68 47.5961538461538 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.66729206555415e-17
+12 0 2 0 0 24 24 70 47.5961538461538 7.105427357601e-15 7.105427357601e-15 486.538461538462 7.91790489934789e-18
+12 0 2 0 0 24 24 72 47.5961538461538 7.105427357601e-15 7.105427357601e-15 507.692307692308 -4.08896171204922e-18
+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 -3.56942514200457e-18
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 -4.07926268039807e-19
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 2.1854218654422e-20
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 -7.24549582429432e-21
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 2.13977851795984e-20
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 -2.86534822841329e-56
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 24 24 68 63.4615384615385 7.105427357601e-15 7.105427357601e-15 465.384615384615 2.60692086205123e-17
+16 0 2 0 0 24 24 70 63.4615384615385 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.95808141547395e-17
+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 3.24320418043164e-19
+16 0 2 0 0 24 24 74 63.4615384615385 7.105427357601e-15 7.105427357601e-15 528.846153846154 -1.95568262871024e-18
+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 -9.14668715480885e-19
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 -5.73618896456439e-19
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 -6.95208990613837e-20
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.7201713177829e-20
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 -3.06644869504167e-24
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 3 0 0 24 24 49 79.3269230769231 7.105427357601e-15 7.105427357601e-15 264.423076923077 9.45122106311571e-17
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+20 0 3 0 0 24 24 51 79.3269230769231 7.105427357601e-15 7.105427357601e-15 285.576923076923 -8.43773459515941e-17
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 0 0 0 24 24 0 95.1923076923077 0 0 -253.846153846154 7.43283549363187e-17
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 1 0 0 24 24 120 95.1923076923077 0 0 1015.38461538462 1.44328440888625e-20
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+24 0 1 0 0 24 24 128 95.1923076923077 0 0 1100 1.30940135606015e-22
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+24 0 1 0 0 24 24 140 95.1923076923077 0 0 1226.92307692308 -8.17719636147332e-24
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
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+28 0 3 0 0 24 24 51 111.057692307692 7.105427357601e-15 7.105427357601e-15 285.576923076923 6.39689780788947e-17
+28 0 3 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.20616846765578e-16
+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 1.07495377949981e-16
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxy_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gxy_maximum.xg
new file mode 100644
index 000000000..34456b6ec
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxy_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gxy
+"gxy v time
+0.0000000000000e+00 7.9288030599840e-16
+7.9326923076923e+00 5.4528538083584e-10
+1.5865384615385e+01 1.1692229892963e-08
+2.3798076923077e+01 3.1981045063970e-08
+3.1730769230769e+01 2.8231317864094e-08
+3.9663461538462e+01 4.9235937088307e-08
+4.7596153846154e+01 4.3107778862469e-08
+5.5528846153846e+01 4.2263551365728e-08
+6.3461538461538e+01 3.2426802008154e-08
+7.1394230769231e+01 3.5603813118875e-08
+7.5360576923077e+01 4.0795514853665e-08
+7.9326923076923e+01 5.0751695537119e-08
+8.3293269230769e+01 9.4075648914954e-08
+8.7259615384615e+01 5.3933058671488e-08
+9.1225961538462e+01 1.2076517328715e-07
+9.5192307692308e+01 3.6184100461740e-08
+9.9158653846154e+01 1.0529660964410e-07
+1.0312500000000e+02 7.0974227916512e-08
+1.0709134615385e+02 9.0685368444717e-08
+1.1105769230769e+02 4.1938724152943e-08
+1.1502403846154e+02 7.6385399208847e-08
+1.1899038461538e+02 4.9301468239521e-08
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxy_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gxy_minimum.xg
new file mode 100644
index 000000000..68daac73e
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxy_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gxy
+"gxy v time
+0.0000000000000e+00 -6.6613381477509e-16
+7.9326923076923e+00 -5.4528538083584e-10
+1.5865384615385e+01 -1.1692229892963e-08
+2.3798076923077e+01 -3.1981045063970e-08
+3.1730769230769e+01 -2.8231317864094e-08
+3.9663461538462e+01 -4.9235937088307e-08
+4.7596153846154e+01 -4.3107778862469e-08
+5.5528846153846e+01 -4.2263551365728e-08
+6.3461538461538e+01 -3.2426802008154e-08
+7.1394230769231e+01 -3.5603813118875e-08
+7.5360576923077e+01 -4.4992243242480e-08
+7.9326923076923e+01 -5.0751695537119e-08
+8.3293269230769e+01 -9.4075648914954e-08
+8.7259615384615e+01 -5.3933058671488e-08
+9.1225961538462e+01 -1.2812977275682e-07
+9.5192307692308e+01 -3.6184100461740e-08
+9.9158653846154e+01 -1.0529660964410e-07
+1.0312500000000e+02 -7.0974227916512e-08
+1.0709134615385e+02 -9.0685368444717e-08
+1.1105769230769e+02 -4.1938724152943e-08
+1.1502403846154e+02 -7.6385399208847e-08
+1.1899038461538e+02 -5.0987325104921e-08
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxy_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gxy_norm1.xg
new file mode 100644
index 000000000..412583acb
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxy_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gxy
+"gxy v time
+0.0000000000000e+00 9.4532903031719e-17
+7.9326923076923e+00 1.3637896525339e-11
+1.5865384615385e+01 2.1055157722881e-10
+2.3798076923077e+01 3.2474898233932e-09
+3.1730769230769e+01 2.1865336679675e-10
+3.9663461538462e+01 4.9945917785174e-09
+4.7596153846154e+01 1.4494869689977e-09
+5.5528846153846e+01 4.8574684049384e-09
+6.3461538461538e+01 2.9612443152722e-10
+7.1394230769231e+01 5.0471156879322e-09
+7.5360576923077e+01 6.0050193844037e-09
+7.9326923076923e+01 1.6997070675361e-09
+8.3293269230769e+01 9.1322632575075e-09
+8.7259615384615e+01 5.8128057657651e-09
+9.1225961538462e+01 1.2149526594358e-08
+9.5192307692308e+01 4.2946710446816e-10
+9.9158653846154e+01 1.1910283982186e-08
+1.0312500000000e+02 6.4802818832203e-09
+1.0709134615385e+02 1.0306222502509e-08
+1.1105769230769e+02 2.2147660351499e-09
+1.1502403846154e+02 9.5216028644145e-09
+1.1899038461538e+02 6.2385591055922e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxy_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gxy_norm2.xg
new file mode 100644
index 000000000..3e68bd539
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxy_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gxy
+"gxy v time
+0.0000000000000e+00 1.4979457891260e-16
+7.9326923076923e+00 3.1184315254408e-11
+1.5865384615385e+01 9.1956497324639e-10
+2.3798076923077e+01 5.7096126750717e-09
+3.1730769230769e+01 1.5491544935167e-09
+3.9663461538462e+01 8.2482161817001e-09
+4.7596153846154e+01 3.8376139623712e-09
+5.5528846153846e+01 7.2944510921324e-09
+6.3461538461538e+01 1.4519491111398e-09
+7.1394230769231e+01 6.9752400576637e-09
+7.5360576923077e+01 8.0564925903990e-09
+7.9326923076923e+01 3.6726946608010e-09
+8.3293269230769e+01 1.3930419509941e-08
+8.7259615384615e+01 8.2762305791699e-09
+9.1225961538462e+01 1.8901010686434e-08
+9.5192307692308e+01 2.0191592475848e-09
+9.9158653846154e+01 1.7663375165256e-08
+1.0312500000000e+02 9.6287688666430e-09
+1.0709134615385e+02 1.4674036253216e-08
+1.1105769230769e+02 4.4636794004487e-09
+1.1502403846154e+02 1.3323850861770e-08
+1.1899038461538e+02 8.8865411888237e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxz.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/gxz.x.asc
new file mode 100644
index 000000000..bc03ee8d3
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxz.x.asc
@@ -0,0 +1,864 @@
+# ADMBASE::gxz x (gxz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 0
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 0
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 0
+0 0 0 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 0 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 0 0 0 96 24 24 0 761.538461538462 0 0 0
+0 0 0 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 0 0 0 128 24 24 0 1100 0 0 0
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 0
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 0
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 0
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 0
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 0
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 0
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 0
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 0
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 0
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 0
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 0
+0 0 0 0 0 232 24 24 0 2200 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 0
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 0
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 0
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 0
+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 1 0 0 52 24 24 0 296.153846153846 0 0 0
+0 0 1 0 0 56 24 24 0 338.461538461538 0 0 0
+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 0
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 0
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 1 0 0 76 24 24 0 550 0 0 0
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 1 0 0 84 24 24 0 634.615384615385 0 0 0
+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 1 0 0 92 24 24 0 719.230769230769 0 0 0
+0 0 1 0 0 96 24 24 0 761.538461538462 0 0 0
+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 0
+0 0 1 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 0
+0 0 1 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 0
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 0
+0 0 1 0 0 128 24 24 0 1100 0 0 0
+0 0 1 0 0 132 24 24 0 1142.30769230769 0 0 0
+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 20 24 24 0 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 22 24 24 0 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 26 24 24 0 21.1538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 28 24 24 0 42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 30 24 24 0 63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 32 24 24 0 84.6153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 34 24 24 0 105.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 36 24 24 0 126.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 38 24 24 0 148.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 40 24 24 0 169.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 42 24 24 0 190.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 44 24 24 0 211.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 46 24 24 0 232.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 48 24 24 0 253.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 50 24 24 0 275 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 52 24 24 0 296.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 54 24 24 0 317.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 56 24 24 0 338.461538461538 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 58 24 24 0 359.615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 60 24 24 0 380.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 62 24 24 0 401.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 64 24 24 0 423.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 66 24 24 0 444.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 68 24 24 0 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 70 24 24 0 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 72 24 24 0 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 74 24 24 0 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 76 24 24 0 550 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 78 24 24 0 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 80 24 24 0 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 12 24 24 15.8653846153846 -126.923076923077 0 0 -1.15113072198042e-17
+4 0 1 0 0 16 24 24 15.8653846153846 -84.6153846153846 0 0 -5.41435690596013e-18
+4 0 1 0 0 20 24 24 15.8653846153846 -42.3076923076923 0 0 1.4012758444428e-17
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 1.29242549357373e-19
+4 0 1 0 0 28 24 24 15.8653846153846 42.3076923076923 0 0 -1.4012758444428e-17
+4 0 1 0 0 32 24 24 15.8653846153846 84.6153846153846 0 0 5.41435690596013e-18
+4 0 1 0 0 36 24 24 15.8653846153846 126.923076923077 0 0 1.15113072198042e-17
+4 0 1 0 0 40 24 24 15.8653846153846 169.230769230769 0 0 -1.27283512325984e-18
+4 0 1 0 0 44 24 24 15.8653846153846 211.538461538462 0 0 -2.59665470940936e-18
+4 0 1 0 0 48 24 24 15.8653846153846 253.846153846154 0 0 -4.06090747385682e-18
+4 0 1 0 0 52 24 24 15.8653846153846 296.153846153846 0 0 7.56960992234216e-18
+4 0 1 0 0 56 24 24 15.8653846153846 338.461538461538 0 0 -7.02687874478843e-18
+4 0 1 0 0 60 24 24 15.8653846153846 380.769230769231 0 0 6.61077739463097e-18
+4 0 1 0 0 64 24 24 15.8653846153846 423.076923076923 0 0 -3.1102784034711e-13
+4 0 1 0 0 68 24 24 15.8653846153846 465.384615384615 0 0 0
+4 0 1 0 0 72 24 24 15.8653846153846 507.692307692308 0 0 0
+4 0 1 0 0 76 24 24 15.8653846153846 550 0 0 0
+4 0 1 0 0 80 24 24 15.8653846153846 592.307692307692 0 0 0
+4 0 1 0 0 84 24 24 15.8653846153846 634.615384615385 0 0 -6.06100871079961e-31
+4 0 1 0 0 88 24 24 15.8653846153846 676.923076923077 0 0 0
+4 0 1 0 0 92 24 24 15.8653846153846 719.230769230769 0 0 0
+4 0 1 0 0 96 24 24 15.8653846153846 761.538461538462 0 0 0
+4 0 1 0 0 100 24 24 15.8653846153846 803.846153846154 0 0 0
+4 0 1 0 0 104 24 24 15.8653846153846 846.153846153846 0 0 -1.40142408652927e-26
+4 0 1 0 0 108 24 24 15.8653846153846 888.461538461538 0 0 -2.46611220526236e-14
+4 0 1 0 0 112 24 24 15.8653846153846 930.769230769231 0 0 -1.58594339965919e-19
+4 0 1 0 0 116 24 24 15.8653846153846 973.076923076923 0 0 2.74031314796386e-15
+4 0 1 0 0 120 24 24 15.8653846153846 1015.38461538462 0 0 0
+4 0 1 0 0 124 24 24 15.8653846153846 1057.69230769231 0 0 9.90187425366456e-21
+4 0 1 0 0 128 24 24 15.8653846153846 1100 0 0 0
+4 0 1 0 0 132 24 24 15.8653846153846 1142.30769230769 0 0 0
+4 0 1 0 0 136 24 24 15.8653846153846 1184.61538461538 0 0 0
+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 18 24 24 15.8653846153846 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 3.49118537017784e-18
+4 0 2 0 0 20 24 24 15.8653846153846 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.4012758444428e-17
+4 0 2 0 0 22 24 24 15.8653846153846 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.92847751145128e-18
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.29242549357373e-19
+4 0 2 0 0 26 24 24 15.8653846153846 21.1538461538462 7.105427357601e-15 7.105427357601e-15 -1.92847751145128e-18
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 -7.10417083538052e-23
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 5.03362513354456e-16
+12 0 2 0 0 80 24 24 47.5961538461538 592.307692307692 7.105427357601e-15 7.105427357601e-15 3.95355428475912e-26
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 200 24 24 63.4615384615385 1861.53846153846 0 0 2.12749731988295e-30
+16 0 0 0 0 208 24 24 63.4615384615385 1946.15384615385 0 0 8.86294284327757e-32
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+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 2.27428801998172e-38
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 128 24 24 63.4615384615385 1100 0 0 3.03354531866766e-21
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+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 -1.89444553178031e-22
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 70 24 24 63.4615384615385 486.538461538462 7.105427357601e-15 7.105427357601e-15 -1.39106570950376e-13
+16 0 2 0 0 72 24 24 63.4615384615385 507.692307692308 7.105427357601e-15 7.105427357601e-15 -3.3422976612677e-14
+16 0 2 0 0 74 24 24 63.4615384615385 528.846153846154 7.105427357601e-15 7.105427357601e-15 -9.29239642140147e-15
+16 0 2 0 0 76 24 24 63.4615384615385 550 7.105427357601e-15 7.105427357601e-15 -1.474532583692e-15
+16 0 2 0 0 78 24 24 63.4615384615385 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.24883321412416e-15
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+16 0 2 0 0 82 24 24 63.4615384615385 613.461538461538 7.105427357601e-15 7.105427357601e-15 8.31195726456651e-17
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 108 24 24 79.3269230769231 888.461538461538 0 0 1.10422458016532e-13
+20 0 1 0 0 112 24 24 79.3269230769231 930.769230769231 0 0 3.36878830569312e-14
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+20 0 1 0 0 120 24 24 79.3269230769231 1015.38461538462 0 0 1.1319536174785e-15
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+20 0 1 0 0 128 24 24 79.3269230769231 1100 0 0 6.9769183747431e-18
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+20 0 1 0 0 136 24 24 79.3269230769231 1184.61538461538 0 0 1.5760185826205e-22
+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 -4.35619116285296e-19
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 18 24 24 79.3269230769231 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -3.13925092434883e-19
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+20 0 2 0 0 30 24 24 79.3269230769231 63.4615384615385 7.105427357601e-15 7.105427357601e-15 3.13925092434883e-19
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 1 0 0 140 24 24 95.1923076923077 1226.92307692308 0 0 -1.16127206513181e-18
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 3 0 0 21 24 24 95.1923076923077 -31.7307692307692 7.105427357601e-15 7.105427357601e-15 -5.15321735233846e-20
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+24 0 3 0 0 41 24 24 95.1923076923077 179.807692307692 7.105427357601e-15 7.105427357601e-15 2.3015763352787e-18
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+24 0 3 0 0 46 24 24 95.1923076923077 232.692307692308 7.105427357601e-15 7.105427357601e-15 -3.4677726502901e-17
+24 0 3 0 0 47 24 24 95.1923076923077 243.269230769231 7.105427357601e-15 7.105427357601e-15 -1.9415531841934e-17
+24 0 3 0 0 48 24 24 95.1923076923077 253.846153846154 7.105427357601e-15 7.105427357601e-15 -1.25773533273124e-17
+24 0 3 0 0 49 24 24 95.1923076923077 264.423076923077 7.105427357601e-15 7.105427357601e-15 3.95530941630446e-18
+24 0 3 0 0 50 24 24 95.1923076923077 275 7.105427357601e-15 7.105427357601e-15 -1.07569089874744e-16
+24 0 3 0 0 51 24 24 95.1923076923077 285.576923076923 7.105427357601e-15 7.105427357601e-15 -3.47222338809849e-16
+24 0 3 0 0 52 24 24 95.1923076923077 296.153846153846 7.105427357601e-15 7.105427357601e-15 -1.10956620878419e-15
+24 0 3 0 0 53 24 24 95.1923076923077 306.730769230769 7.105427357601e-15 7.105427357601e-15 -3.1420246770401e-15
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 20 24 24 111.057692307692 -42.3076923076923 0 0 9.99149607139589e-18
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+28 0 1 0 0 36 24 24 111.057692307692 126.923076923077 0 0 8.29758784686677e-18
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+28 0 1 0 0 56 24 24 111.057692307692 338.461538461538 0 0 2.64582597498814e-14
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+28 0 1 0 0 92 24 24 111.057692307692 719.230769230769 0 0 5.24585725971785e-15
+28 0 1 0 0 96 24 24 111.057692307692 761.538461538462 0 0 2.38318567918229e-14
+28 0 1 0 0 100 24 24 111.057692307692 803.846153846154 0 0 7.99912505729909e-15
+28 0 1 0 0 104 24 24 111.057692307692 846.153846153846 0 0 -1.29475724409397e-13
+28 0 1 0 0 108 24 24 111.057692307692 888.461538461538 0 0 -5.33209332170473e-14
+28 0 1 0 0 112 24 24 111.057692307692 930.769230769231 0 0 4.43603267416399e-14
+28 0 1 0 0 116 24 24 111.057692307692 973.076923076923 0 0 3.6743103052093e-14
+28 0 1 0 0 120 24 24 111.057692307692 1015.38461538462 0 0 5.87010504548947e-15
+28 0 1 0 0 124 24 24 111.057692307692 1057.69230769231 0 0 6.4578261043255e-16
+28 0 1 0 0 128 24 24 111.057692307692 1100 0 0 2.03856936010943e-16
+28 0 1 0 0 132 24 24 111.057692307692 1142.30769230769 0 0 -2.50646814020387e-16
+28 0 1 0 0 136 24 24 111.057692307692 1184.61538461538 0 0 2.2459300541548e-18
+28 0 1 0 0 140 24 24 111.057692307692 1226.92307692308 0 0 -1.1467807004468e-17
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 18 24 24 111.057692307692 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.073631928776e-18
+28 0 2 0 0 20 24 24 111.057692307692 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 9.99149607139589e-18
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+28 0 2 0 0 28 24 24 111.057692307692 42.3076923076923 7.105427357601e-15 7.105427357601e-15 -9.99149607139589e-18
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+28 0 2 0 0 32 24 24 111.057692307692 84.6153846153846 7.105427357601e-15 7.105427357601e-15 7.77162297716007e-18
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+28 0 2 0 0 66 24 24 111.057692307692 444.230769230769 7.105427357601e-15 7.105427357601e-15 -3.10036102800315e-14
+28 0 2 0 0 68 24 24 111.057692307692 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.4186506092516e-13
+28 0 2 0 0 70 24 24 111.057692307692 486.538461538462 7.105427357601e-15 7.105427357601e-15 8.74861036479659e-14
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 21 24 24 111.057692307692 -31.7307692307692 7.105427357601e-15 7.105427357601e-15 3.42430546442612e-18
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+28 0 3 0 0 39 24 24 111.057692307692 158.653846153846 7.105427357601e-15 7.105427357601e-15 -4.25248915870505e-18
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+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 -1.37257263722601e-15
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 -2.08938204849754e-15
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 -3.52272968196288e-15
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxz.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/gxz.y.asc
new file mode 100644
index 000000000..2cbcd80b5
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxz.y.asc
@@ -0,0 +1,864 @@
+# ADMBASE::gxz y (gxz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 0
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 0
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+0 0 0 0 0 24 112 24 0 0 930.769230769231 0 0
+0 0 0 0 0 24 120 24 0 0 1015.38461538462 0 0
+0 0 0 0 0 24 128 24 0 0 1100 0 0
+0 0 0 0 0 24 136 24 0 0 1184.61538461538 0 0
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+0 0 0 0 0 24 200 24 0 0 1861.53846153846 0 0
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+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 2 0 0 24 82 24 15.8653846153846 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 12 24 31.7307692307692 0 -126.923076923077 0 2.36979042279107e-19
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 18 24 31.7307692307692 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 -1.46956545662102e-19
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 18 24 47.5961538461538 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 -1.14419562501417e-19
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+12 0 2 0 0 24 76 24 47.5961538461538 7.105427357601e-15 550 7.105427357601e-15 -1.5520225195958e-21
+12 0 2 0 0 24 78 24 47.5961538461538 7.105427357601e-15 571.153846153846 7.105427357601e-15 2.23607421414723e-21
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 224 24 63.4615384615385 0 2115.38461538462 0 0
+16 0 0 0 0 24 232 24 63.4615384615385 0 2200 0 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 0
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 18 24 63.4615384615385 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 2.99686537353662e-19
+16 0 2 0 0 24 20 24 63.4615384615385 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 2.7461351827745e-19
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 140 24 79.3269230769231 0 1226.92307692308 0 -8.5174644908826e-25
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 82 24 111.057692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 -3.38506155871958e-21
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 40 24 111.057692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 -1.35922536317801e-18
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+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 5.73951733831744e-20
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 1.74515867269457e-19
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 2.20039239663868e-19
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 1.49585412298364e-19
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxz.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/gxz.z.asc
new file mode 100644
index 000000000..1b268538f
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxz.z.asc
@@ -0,0 +1,864 @@
+# ADMBASE::gxz z (gxz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 0
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 0
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+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 0
+0 0 0 0 0 24 24 232 0 0 0 2200 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 0
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 0
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+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 0
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+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 0
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+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 1 0 0 24 24 36 15.8653846153846 0 0 126.923076923077 1.40740959212674e-18
+4 0 1 0 0 24 24 40 15.8653846153846 0 0 169.230769230769 -1.3713226875637e-17
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+4 0 1 0 0 24 24 52 15.8653846153846 0 0 296.153846153846 7.81074248816568e-18
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+4 0 1 0 0 24 24 112 15.8653846153846 0 0 930.769230769231 0
+4 0 1 0 0 24 24 116 15.8653846153846 0 0 973.076923076923 2.74018568365388e-15
+4 0 1 0 0 24 24 120 15.8653846153846 0 0 1015.38461538462 0
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+4 0 1 0 0 24 24 128 15.8653846153846 0 0 1100 0
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+4 0 1 0 0 24 24 136 15.8653846153846 0 0 1184.61538461538 0
+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 2 0 0 24 24 20 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 2.70287748334359e-17
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+4 0 2 0 0 24 24 32 15.8653846153846 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.99396369468085e-17
+4 0 2 0 0 24 24 34 15.8653846153846 7.105427357601e-15 7.105427357601e-15 105.769230769231 3.01405915519293e-18
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+4 0 2 0 0 24 24 38 15.8653846153846 7.105427357601e-15 7.105427357601e-15 148.076923076923 3.86573353174981e-19
+4 0 2 0 0 24 24 40 15.8653846153846 7.105427357601e-15 7.105427357601e-15 169.230769230769 -1.3713226875637e-17
+4 0 2 0 0 24 24 42 15.8653846153846 7.105427357601e-15 7.105427357601e-15 190.384615384615 5.15225068538454e-18
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 -2.2492932563383e-33
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 5.38882545588084e-15
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 -4.95470169720611e-17
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 5.03350143853327e-16
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 2.69735911979989e-26
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 3.09386734287313e-18
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 0
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 -4.54292957228777e-18
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+16 0 1 0 0 24 24 100 63.4615384615385 0 0 803.846153846154 5.45905139009059e-14
+16 0 1 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 2.2183219685744e-13
+16 0 1 0 0 24 24 108 63.4615384615385 0 0 888.461538461538 1.36104976056357e-13
+16 0 1 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 2.05947295178408e-14
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+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 0
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+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 -5.99811527323081e-33
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 24 18 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 2.8313087348067e-18
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+16 0 2 0 0 24 24 70 63.4615384615385 7.105427357601e-15 7.105427357601e-15 486.538461538462 -1.39105318950888e-13
+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 -3.34221050910911e-14
+16 0 2 0 0 24 24 74 63.4615384615385 7.105427357601e-15 7.105427357601e-15 528.846153846154 -9.29199168329815e-15
+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 -1.4744475515175e-15
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.24882789641592e-15
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 -1.59219768191836e-17
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 8.31155864479647e-17
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 24 108 79.3269230769231 0 0 888.461538461538 1.10421263296931e-13
+20 0 1 0 0 24 24 112 79.3269230769231 0 0 930.769230769231 3.36887915690437e-14
+20 0 1 0 0 24 24 116 79.3269230769231 0 0 973.076923076923 9.3445082306123e-15
+20 0 1 0 0 24 24 120 79.3269230769231 0 0 1015.38461538462 1.13191003721844e-15
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+20 0 1 0 0 24 24 128 79.3269230769231 0 0 1100 6.9699090785602e-18
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+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 -4.35270015371386e-19
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 24 24 50 95.1923076923077 7.105427357601e-15 7.105427357601e-15 275 -1.03013772415955e-16
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 24 140 111.057692307692 0 0 1226.92307692308 -1.14676219113927e-17
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxz_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gxz_maximum.xg
new file mode 100644
index 000000000..f36f8f771
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxz_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gxz
+"gxz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 5.4528526286890e-10
+1.5865384615385e+01 1.1692229948993e-08
+2.3798076923077e+01 3.1981045013301e-08
+3.1730769230769e+01 2.8231317886428e-08
+3.9663461538462e+01 4.9235937100120e-08
+4.7596153846154e+01 4.3107778921806e-08
+5.5528846153846e+01 4.2263551404380e-08
+6.3461538461538e+01 3.2426802018277e-08
+7.1394230769231e+01 3.5603813127482e-08
+7.5360576923077e+01 4.0795514835247e-08
+7.9326923076923e+01 5.0751696609893e-08
+8.3293269230769e+01 9.4075648608388e-08
+8.7259615384615e+01 5.3933087718836e-08
+9.1225961538462e+01 1.2076517286795e-07
+9.5192307692308e+01 3.6184161635392e-08
+9.9158653846154e+01 1.0529660334683e-07
+1.0312500000000e+02 7.0974251663086e-08
+1.0709134615385e+02 9.0685362975688e-08
+1.1105769230769e+02 4.1938686051793e-08
+1.1502403846154e+02 7.6385391427306e-08
+1.1899038461538e+02 4.9301509766685e-08
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxz_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gxz_minimum.xg
new file mode 100644
index 000000000..aae645cc7
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxz_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gxz
+"gxz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 -5.4528526286890e-10
+1.5865384615385e+01 -1.1692229948993e-08
+2.3798076923077e+01 -3.1981045013301e-08
+3.1730769230769e+01 -2.8231317886428e-08
+3.9663461538462e+01 -4.9235937100120e-08
+4.7596153846154e+01 -4.3107778921806e-08
+5.5528846153846e+01 -4.2263551404380e-08
+6.3461538461538e+01 -3.2426802018277e-08
+7.1394230769231e+01 -3.5603813127482e-08
+7.5360576923077e+01 -4.4992243257504e-08
+7.9326923076923e+01 -5.0751696609893e-08
+8.3293269230769e+01 -9.4075648608388e-08
+8.7259615384615e+01 -5.3933087718836e-08
+9.1225961538462e+01 -1.2812966455169e-07
+9.5192307692308e+01 -3.6184161635392e-08
+9.9158653846154e+01 -1.0529660334683e-07
+1.0312500000000e+02 -7.0974251663086e-08
+1.0709134615385e+02 -9.0685362975688e-08
+1.1105769230769e+02 -4.1938686051793e-08
+1.1502403846154e+02 -7.6385391427306e-08
+1.1899038461538e+02 -5.0987334727504e-08
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxz_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gxz_norm1.xg
new file mode 100644
index 000000000..0f6bc47d0
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxz_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gxz
+"gxz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 1.3637898978128e-11
+1.5865384615385e+01 2.1055156478169e-10
+2.3798076923077e+01 3.2474898243842e-09
+3.1730769230769e+01 2.1865334792814e-10
+3.9663461538462e+01 4.9945917785822e-09
+4.7596153846154e+01 1.4494869708554e-09
+5.5528846153846e+01 4.8574684000407e-09
+6.3461538461538e+01 2.9612443399390e-10
+7.1394230769231e+01 5.0471156753676e-09
+7.5360576923077e+01 6.0050193761423e-09
+7.9326923076923e+01 1.6997070637149e-09
+8.3293269230769e+01 9.1322632073831e-09
+8.7259615384615e+01 5.8128057589032e-09
+9.1225961538462e+01 1.2149526224747e-08
+9.5192307692308e+01 4.2946714190165e-10
+9.9158653846154e+01 1.1910283342422e-08
+1.0312500000000e+02 6.4802809730048e-09
+1.0709134615385e+02 1.0306220387334e-08
+1.1105769230769e+02 2.2147662246422e-09
+1.1502403846154e+02 9.5216009743693e-09
+1.1899038461538e+02 6.2385582093386e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gxz_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gxz_norm2.xg
new file mode 100644
index 000000000..4c9005d95
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gxz_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gxz
+"gxz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 3.1184313792941e-11
+1.5865384615385e+01 9.1956497323978e-10
+2.3798076923077e+01 5.7096126754372e-09
+3.1730769230769e+01 1.5491544927374e-09
+3.9663461538462e+01 8.2482161824470e-09
+4.7596153846154e+01 3.8376139649266e-09
+5.5528846153846e+01 7.2944510919364e-09
+6.3461538461538e+01 1.4519491022827e-09
+7.1394230769231e+01 6.9752400467267e-09
+7.5360576923077e+01 8.0564925847604e-09
+7.9326923076923e+01 3.6726946547095e-09
+8.3293269230769e+01 1.3930419315202e-08
+8.7259615384615e+01 8.2762305891031e-09
+9.1225961538462e+01 1.8901009909644e-08
+9.5192307692308e+01 2.0191596206464e-09
+9.9158653846154e+01 1.7663373557001e-08
+1.0312500000000e+02 9.6287677071887e-09
+1.0709134615385e+02 1.4674033198585e-08
+1.1105769230769e+02 4.4636799612850e-09
+1.1502403846154e+02 1.3323845954541e-08
+1.1899038461538e+02 8.8865387636499e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gyy.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/gyy.x.asc
new file mode 100644
index 000000000..3ee80e967
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gyy.x.asc
@@ -0,0 +1,864 @@
+# ADMBASE::gyy x (gyy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 1.01857101160765
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 1.01960605224309
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 1.02029641693505
+0 0 0 0 0 24 24 24 0 0 0 0 1.02053896717033
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 1.02029641693505
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 1.01960605224309
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 1.01857101160766
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 1.01732029130819
+0 0 0 0 0 64 24 24 0 423.076923076923 0 0 1.01597850949553
+0 0 0 0 0 72 24 24 0 507.692307692308 0 0 1.01464185210732
+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 1.01337434606597
+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 1.01221034872541
+0 0 0 0 0 96 24 24 0 761.538461538462 0 0 1.01116344271757
+0 0 0 0 0 104 24 24 0 846.153846153846 0 0 1.01023395283803
+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 1.00941461590367
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 1.00869483055618
+0 0 0 0 0 128 24 24 0 1100 0 0 1.0080627851157
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 1.0075070674037
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 1.00701711135106
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 1.00658359419917
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 1.006198416854
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 1.00585464623272
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 1.00554639904053
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 1.00526870807156
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 1.00501738924373
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 1.00478892340349
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 1.00458035259249
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 1.00438919102191
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 1.00421334648009
+0 0 0 0 0 232 24 24 0 2200 0 0 1.00405104893667
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 1.02000193918476
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 1.02029641693505
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 1.02047789124297
+0 0 1 0 0 24 24 24 0 0 0 0 1.02053896717033
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 1.02047789124297
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 1.02029641693505
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 1.02000193918476
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 1.01960605224309
+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 1.01912384749715
+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 1.01857101160766
+0 0 1 0 0 52 24 24 0 296.153846153846 0 0 1.01796438337812
+0 0 1 0 0 56 24 24 0 338.461538461538 0 0 1.01732029130819
+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 1.0166537631369
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 1.01597850949553
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 1.01530476537934
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 1.01464185210732
+0 0 1 0 0 76 24 24 0 550 0 0 1.013996707195
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 1.01337434606597
+0 0 1 0 0 84 24 24 0 634.615384615385 0 0 1.01277822896438
+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 1.01221034872541
+0 0 1 0 0 92 24 24 0 719.230769230769 0 0 1.01167200897287
+0 0 1 0 0 96 24 24 0 761.538461538462 0 0 1.01116344271757
+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 1.01068439866994
+0 0 1 0 0 104 24 24 0 846.153846153846 0 0 1.01023395283803
+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 1.00981117939165
+0 0 1 0 0 112 24 24 0 930.769230769231 0 0 1.00941461590367
+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 1.00904301890113
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 1.00869483055618
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 1.0083685547414
+0 0 1 0 0 128 24 24 0 1100 0 0 1.0080627851157
+0 0 1 0 0 132 24 24 0 1142.30769230769 0 0 1.0077760465669
+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 1.0075070674037
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 1.00725445252533
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.0204018487379
+0 0 2 0 0 20 24 24 0 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047789124297
+0 0 2 0 0 22 24 24 0 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.02052374357434
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053896717033
+0 0 2 0 0 26 24 24 0 21.1538461538462 7.105427357601e-15 7.105427357601e-15 1.02052374357434
+0 0 2 0 0 28 24 24 0 42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047789124297
+0 0 2 0 0 30 24 24 0 63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.0204018487379
+0 0 2 0 0 32 24 24 0 84.6153846153846 7.105427357601e-15 7.105427357601e-15 1.02029641693505
+0 0 2 0 0 34 24 24 0 105.769230769231 7.105427357601e-15 7.105427357601e-15 1.02016267502063
+0 0 2 0 0 36 24 24 0 126.923076923077 7.105427357601e-15 7.105427357601e-15 1.02000193918476
+0 0 2 0 0 38 24 24 0 148.076923076923 7.105427357601e-15 7.105427357601e-15 1.01981576358925
+0 0 2 0 0 40 24 24 0 169.230769230769 7.105427357601e-15 7.105427357601e-15 1.01960605224309
+0 0 2 0 0 42 24 24 0 190.384615384615 7.105427357601e-15 7.105427357601e-15 1.01937494147213
+0 0 2 0 0 44 24 24 0 211.538461538462 7.105427357601e-15 7.105427357601e-15 1.01912384749715
+0 0 2 0 0 46 24 24 0 232.692307692308 7.105427357601e-15 7.105427357601e-15 1.01885488535482
+0 0 2 0 0 48 24 24 0 253.846153846154 7.105427357601e-15 7.105427357601e-15 1.01857101160766
+0 0 2 0 0 50 24 24 0 275 7.105427357601e-15 7.105427357601e-15 1.01827301031043
+0 0 2 0 0 52 24 24 0 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.01796438337812
+0 0 2 0 0 54 24 24 0 317.307692307692 7.105427357601e-15 7.105427357601e-15 1.01764576019633
+0 0 2 0 0 56 24 24 0 338.461538461538 7.105427357601e-15 7.105427357601e-15 1.01732029130819
+0 0 2 0 0 58 24 24 0 359.615384615385 7.105427357601e-15 7.105427357601e-15 1.01698905647444
+0 0 2 0 0 60 24 24 0 380.769230769231 7.105427357601e-15 7.105427357601e-15 1.0166537631369
+0 0 2 0 0 62 24 24 0 401.923076923077 7.105427357601e-15 7.105427357601e-15 1.01631653374398
+0 0 2 0 0 64 24 24 0 423.076923076923 7.105427357601e-15 7.105427357601e-15 1.01597850949553
+0 0 2 0 0 66 24 24 0 444.230769230769 7.105427357601e-15 7.105427357601e-15 1.01564086558789
+0 0 2 0 0 68 24 24 0 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.01530476537934
+0 0 2 0 0 70 24 24 0 486.538461538462 7.105427357601e-15 7.105427357601e-15 1.01497152088152
+0 0 2 0 0 72 24 24 0 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.01464185210732
+0 0 2 0 0 74 24 24 0 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.01431674486978
+0 0 2 0 0 76 24 24 0 550 7.105427357601e-15 7.105427357601e-15 1.013996707195
+0 0 2 0 0 78 24 24 0 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.01368246223245
+0 0 2 0 0 80 24 24 0 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.01337434606597
+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.01307288239855
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 12 24 24 15.8653846153846 -126.923076923077 0 0 1.02000196114796
+4 0 1 0 0 16 24 24 15.8653846153846 -84.6153846153846 0 0 1.02029644673345
+4 0 1 0 0 20 24 24 15.8653846153846 -42.3076923076923 0 0 1.02047789790441
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 1.02053889656745
+4 0 1 0 0 28 24 24 15.8653846153846 42.3076923076923 0 0 1.02047789790441
+4 0 1 0 0 32 24 24 15.8653846153846 84.6153846153846 0 0 1.02029644673345
+4 0 1 0 0 36 24 24 15.8653846153846 126.923076923077 0 0 1.02000196114796
+4 0 1 0 0 40 24 24 15.8653846153846 169.230769230769 0 0 1.01960599449463
+4 0 1 0 0 44 24 24 15.8653846153846 211.538461538462 0 0 1.01912388791235
+4 0 1 0 0 48 24 24 15.8653846153846 253.846153846154 0 0 1.01857109890443
+4 0 1 0 0 52 24 24 15.8653846153846 296.153846153846 0 0 1.01796446395597
+4 0 1 0 0 56 24 24 15.8653846153846 338.461538461538 0 0 1.01732030948849
+4 0 1 0 0 60 24 24 15.8653846153846 380.769230769231 0 0 1.01665372571107
+4 0 1 0 0 64 24 24 15.8653846153846 423.076923076923 0 0 1.01597852736616
+4 0 1 0 0 68 24 24 15.8653846153846 465.384615384615 0 0 1.01530477271247
+4 0 1 0 0 72 24 24 15.8653846153846 507.692307692308 0 0 1.01464184882267
+4 0 1 0 0 76 24 24 15.8653846153846 550 0 0 1.01399670380334
+4 0 1 0 0 80 24 24 15.8653846153846 592.307692307692 0 0 1.01337434849008
+4 0 1 0 0 84 24 24 15.8653846153846 634.615384615385 0 0 1.01277823474814
+4 0 1 0 0 88 24 24 15.8653846153846 676.923076923077 0 0 1.01221034346654
+4 0 1 0 0 92 24 24 15.8653846153846 719.230769230769 0 0 1.01167201048804
+4 0 1 0 0 96 24 24 15.8653846153846 761.538461538462 0 0 1.01116343839434
+4 0 1 0 0 100 24 24 15.8653846153846 803.846153846154 0 0 1.01068440069894
+4 0 1 0 0 104 24 24 15.8653846153846 846.153846153846 0 0 1.01023395134505
+4 0 1 0 0 108 24 24 15.8653846153846 888.461538461538 0 0 1.00981117560364
+4 0 1 0 0 112 24 24 15.8653846153846 930.769230769231 0 0 1.00941461225564
+4 0 1 0 0 116 24 24 15.8653846153846 973.076923076923 0 0 1.00904301593376
+4 0 1 0 0 120 24 24 15.8653846153846 1015.38461538462 0 0 1.00869482814811
+4 0 1 0 0 124 24 24 15.8653846153846 1057.69230769231 0 0 1.0083685521255
+4 0 1 0 0 128 24 24 15.8653846153846 1100 0 0 1.00806278222948
+4 0 1 0 0 132 24 24 15.8653846153846 1142.30769230769 0 0 1.00777604399794
+4 0 1 0 0 136 24 24 15.8653846153846 1184.61538461538 0 0 1.00750706525467
+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 1.00725445056721
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 18 24 24 15.8653846153846 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.02040185061589
+4 0 2 0 0 20 24 24 15.8653846153846 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047789790441
+4 0 2 0 0 22 24 24 15.8653846153846 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.02052375200684
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053889656745
+4 0 2 0 0 26 24 24 15.8653846153846 21.1538461538462 7.105427357601e-15 7.105427357601e-15 1.02052375200684
+4 0 2 0 0 28 24 24 15.8653846153846 42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047789790441
+4 0 2 0 0 30 24 24 15.8653846153846 63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.02040185061589
+4 0 2 0 0 32 24 24 15.8653846153846 84.6153846153846 7.105427357601e-15 7.105427357601e-15 1.02029644673345
+4 0 2 0 0 34 24 24 15.8653846153846 105.769230769231 7.105427357601e-15 7.105427357601e-15 1.02016270089192
+4 0 2 0 0 36 24 24 15.8653846153846 126.923076923077 7.105427357601e-15 7.105427357601e-15 1.02000196114796
+4 0 2 0 0 38 24 24 15.8653846153846 148.076923076923 7.105427357601e-15 7.105427357601e-15 1.01981575191535
+4 0 2 0 0 40 24 24 15.8653846153846 169.230769230769 7.105427357601e-15 7.105427357601e-15 1.01960599449463
+4 0 2 0 0 42 24 24 15.8653846153846 190.384615384615 7.105427357601e-15 7.105427357601e-15 1.01937496863914
+4 0 2 0 0 44 24 24 15.8653846153846 211.538461538462 7.105427357601e-15 7.105427357601e-15 1.01912388791235
+4 0 2 0 0 46 24 24 15.8653846153846 232.692307692308 7.105427357601e-15 7.105427357601e-15 1.01885480493915
+4 0 2 0 0 48 24 24 15.8653846153846 253.846153846154 7.105427357601e-15 7.105427357601e-15 1.01857109890443
+4 0 2 0 0 50 24 24 15.8653846153846 275 7.105427357601e-15 7.105427357601e-15 1.01827292771521
+4 0 2 0 0 52 24 24 15.8653846153846 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.01796446395597
+4 0 2 0 0 54 24 24 15.8653846153846 317.307692307692 7.105427357601e-15 7.105427357601e-15 1.01764569798779
+4 0 2 0 0 56 24 24 15.8653846153846 338.461538461538 7.105427357601e-15 7.105427357601e-15 1.01732030948849
+4 0 2 0 0 58 24 24 15.8653846153846 359.615384615385 7.105427357601e-15 7.105427357601e-15 1.01698908699066
+4 0 2 0 0 60 24 24 15.8653846153846 380.769230769231 7.105427357601e-15 7.105427357601e-15 1.01665372571107
+4 0 2 0 0 62 24 24 15.8653846153846 401.923076923077 7.105427357601e-15 7.105427357601e-15 1.01631652224272
+4 0 2 0 0 64 24 24 15.8653846153846 423.076923076923 7.105427357601e-15 7.105427357601e-15 1.01597852736616
+4 0 2 0 0 66 24 24 15.8653846153846 444.230769230769 7.105427357601e-15 7.105427357601e-15 1.01564088230531
+4 0 2 0 0 68 24 24 15.8653846153846 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.01530477271247
+4 0 2 0 0 70 24 24 15.8653846153846 486.538461538462 7.105427357601e-15 7.105427357601e-15 1.01497152225321
+4 0 2 0 0 72 24 24 15.8653846153846 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.01464184882267
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+4 0 2 0 0 76 24 24 15.8653846153846 550 7.105427357601e-15 7.105427357601e-15 1.01399670380334
+4 0 2 0 0 78 24 24 15.8653846153846 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.01368246153249
+4 0 2 0 0 80 24 24 15.8653846153846 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.01337434849008
+4 0 2 0 0 82 24 24 15.8653846153846 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.01307288755676
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 0 24 24 31.7307692307692 -253.846153846154 0 0 1.01857113388235
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+8 0 0 0 0 232 24 24 31.7307692307692 2200 0 0 1.0040509629624
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 12 24 24 31.7307692307692 -126.923076923077 0 0 1.02000198297558
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+8 0 1 0 0 36 24 24 31.7307692307692 126.923076923077 0 0 1.02000198297558
+8 0 1 0 0 40 24 24 31.7307692307692 169.230769230769 0 0 1.01960598170853
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+8 0 1 0 0 120 24 24 31.7307692307692 1015.38461538462 0 0 1.00869482090433
+8 0 1 0 0 124 24 24 31.7307692307692 1057.69230769231 0 0 1.00836854426355
+8 0 1 0 0 128 24 24 31.7307692307692 1100 0 0 1.00806277356039
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+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 1.00725444468885
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 18 24 24 31.7307692307692 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.02040179522406
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+8 0 2 0 0 68 24 24 31.7307692307692 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.01530474638426
+8 0 2 0 0 70 24 24 31.7307692307692 486.538461538462 7.105427357601e-15 7.105427357601e-15 1.01497149315682
+8 0 2 0 0 72 24 24 31.7307692307692 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.0146418293472
+8 0 2 0 0 74 24 24 31.7307692307692 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.01431672295632
+8 0 2 0 0 76 24 24 31.7307692307692 550 7.105427357601e-15 7.105427357601e-15 1.01399668735817
+8 0 2 0 0 78 24 24 31.7307692307692 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.01368244372748
+8 0 2 0 0 80 24 24 31.7307692307692 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.01337433230742
+8 0 2 0 0 82 24 24 31.7307692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.01307288570291
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 12 24 24 47.5961538461538 -126.923076923077 0 0 1.02000197773301
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+12 0 1 0 0 120 24 24 47.5961538461538 1015.38461538462 0 0 1.00869480681715
+12 0 1 0 0 124 24 24 47.5961538461538 1057.69230769231 0 0 1.00836853096447
+12 0 1 0 0 128 24 24 47.5961538461538 1100 0 0 1.00806276094125
+12 0 1 0 0 132 24 24 47.5961538461538 1142.30769230769 0 0 1.00777602517348
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+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 1.00725443572851
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 18 24 24 47.5961538461538 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.02040184960786
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+12 0 2 0 0 52 24 24 47.5961538461538 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.0179644321483
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+12 0 2 0 0 66 24 24 47.5961538461538 444.230769230769 7.105427357601e-15 7.105427357601e-15 1.0156408970687
+12 0 2 0 0 68 24 24 47.5961538461538 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.01530470467412
+12 0 2 0 0 70 24 24 47.5961538461538 486.538461538462 7.105427357601e-15 7.105427357601e-15 1.01497145714571
+12 0 2 0 0 72 24 24 47.5961538461538 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.01464180688901
+12 0 2 0 0 74 24 24 47.5961538461538 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.01431670478138
+12 0 2 0 0 76 24 24 47.5961538461538 550 7.105427357601e-15 7.105427357601e-15 1.01399666955128
+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.01368241866751
+12 0 2 0 0 80 24 24 47.5961538461538 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.01337430243228
+12 0 2 0 0 82 24 24 47.5961538461538 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.01307286628745
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 0 24 24 63.4615384615385 -253.846153846154 0 0 1.01857105792774
+16 0 0 0 0 8 24 24 63.4615384615385 -169.230769230769 0 0 1.01960597899316
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+16 0 0 0 0 24 24 24 63.4615384615385 0 0 0 1.02053889000137
+16 0 0 0 0 32 24 24 63.4615384615385 84.6153846153846 0 0 1.02029640171102
+16 0 0 0 0 40 24 24 63.4615384615385 169.230769230769 0 0 1.01960597899316
+16 0 0 0 0 48 24 24 63.4615384615385 253.846153846154 0 0 1.01857105792774
+16 0 0 0 0 56 24 24 63.4615384615385 338.461538461539 0 0 1.01732030017879
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+16 0 0 0 0 144 24 24 63.4615384615385 1269.23076923077 0 0 1.00701708391597
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+16 0 0 0 0 200 24 24 63.4615384615385 1861.53846153846 0 0 1.00478891696678
+16 0 0 0 0 208 24 24 63.4615384615385 1946.15384615385 0 0 1.00458034726748
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+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 1.00405093873823
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 12 24 24 63.4615384615385 -126.923076923077 0 0 1.0200019513152
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+16 0 1 0 0 36 24 24 63.4615384615385 126.923076923077 0 0 1.0200019513152
+16 0 1 0 0 40 24 24 63.4615384615385 169.230769230769 0 0 1.01960597899316
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+16 0 1 0 0 108 24 24 63.4615384615385 888.461538461538 0 0 1.00981114644638
+16 0 1 0 0 112 24 24 63.4615384615385 930.769230769231 0 0 1.00941455832375
+16 0 1 0 0 116 24 24 63.4615384615385 973.076923076923 0 0 1.00904296479102
+16 0 1 0 0 120 24 24 63.4615384615385 1015.38461538462 0 0 1.00869478655579
+16 0 1 0 0 124 24 24 63.4615384615385 1057.69230769231 0 0 1.00836851229195
+16 0 1 0 0 128 24 24 63.4615384615385 1100 0 0 1.00806274376111
+16 0 1 0 0 132 24 24 63.4615384615385 1142.30769230769 0 0 1.00777601008457
+16 0 1 0 0 136 24 24 63.4615384615385 1184.61538461538 0 0 1.00750703596232
+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 1.00725442340678
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 18 24 24 63.4615384615385 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.02040181514646
+16 0 2 0 0 20 24 24 63.4615384615385 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047786354981
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+16 0 2 0 0 38 24 24 63.4615384615385 148.076923076923 7.105427357601e-15 7.105427357601e-15 1.01981572118745
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+16 0 2 0 0 52 24 24 63.4615384615385 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.01796440754988
+16 0 2 0 0 54 24 24 63.4615384615385 317.307692307692 7.105427357601e-15 7.105427357601e-15 1.01764575476178
+16 0 2 0 0 56 24 24 63.4615384615385 338.461538461538 7.105427357601e-15 7.105427357601e-15 1.01732030017879
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+16 0 2 0 0 66 24 24 63.4615384615385 444.230769230769 7.105427357601e-15 7.105427357601e-15 1.01564084782516
+16 0 2 0 0 68 24 24 63.4615384615385 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.01530468123379
+16 0 2 0 0 70 24 24 63.4615384615385 486.538461538462 7.105427357601e-15 7.105427357601e-15 1.01497144225777
+16 0 2 0 0 72 24 24 63.4615384615385 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.01464179677912
+16 0 2 0 0 74 24 24 63.4615384615385 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.01431669907089
+16 0 2 0 0 76 24 24 63.4615384615385 550 7.105427357601e-15 7.105427357601e-15 1.01399666550813
+16 0 2 0 0 78 24 24 63.4615384615385 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.0136824111553
+16 0 2 0 0 80 24 24 63.4615384615385 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.01337428986954
+16 0 2 0 0 82 24 24 63.4615384615385 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.01307284857445
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 12 24 24 79.3269230769231 -126.923076923077 0 0 1.02000191294576
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+20 0 1 0 0 120 24 24 79.3269230769231 1015.38461538462 0 0 1.00869476116011
+20 0 1 0 0 124 24 24 79.3269230769231 1057.69230769231 0 0 1.00836848927579
+20 0 1 0 0 128 24 24 79.3269230769231 1100 0 0 1.00806272312567
+20 0 1 0 0 132 24 24 79.3269230769231 1142.30769230769 0 0 1.00777599153653
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+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 1.00725440801007
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 18 24 24 79.3269230769231 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.02040178490565
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+20 0 2 0 0 50 24 24 79.3269230769231 275 7.105427357601e-15 7.105427357601e-15 1.01827288490253
+20 0 2 0 0 52 24 24 79.3269230769231 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.01796450178795
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+20 0 2 0 0 66 24 24 79.3269230769231 444.230769230769 7.105427357601e-15 7.105427357601e-15 1.01564082734364
+20 0 2 0 0 68 24 24 79.3269230769231 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.01530468218207
+20 0 2 0 0 70 24 24 79.3269230769231 486.538461538462 7.105427357601e-15 7.105427357601e-15 1.01497144398599
+20 0 2 0 0 72 24 24 79.3269230769231 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.01464179541776
+20 0 2 0 0 74 24 24 79.3269230769231 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.01431670210727
+20 0 2 0 0 76 24 24 79.3269230769231 550 7.105427357601e-15 7.105427357601e-15 1.01399667347516
+20 0 2 0 0 78 24 24 79.3269230769231 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.0136824220043
+20 0 2 0 0 80 24 24 79.3269230769231 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.0133742998084
+20 0 2 0 0 82 24 24 79.3269230769231 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.01307284799427
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 3 0 0 21 24 24 79.3269230769231 -31.7307692307692 7.105427357601e-15 7.105427357601e-15 1.02050457312444
+20 0 3 0 0 22 24 24 79.3269230769231 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.02052371815238
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 104 24 24 111.057692307692 846.153846153846 0 0 1.0102339241266
+28 0 1 0 0 108 24 24 111.057692307692 888.461538461538 0 0 1.00981108360632
+28 0 1 0 0 112 24 24 111.057692307692 930.769230769231 0 0 1.00941446081841
+28 0 1 0 0 116 24 24 111.057692307692 973.076923076923 0 0 1.0090428656731
+28 0 1 0 0 120 24 24 111.057692307692 1015.38461538462 0 0 1.00869469659904
+28 0 1 0 0 124 24 24 111.057692307692 1057.69230769231 0 0 1.00836843054061
+28 0 1 0 0 128 24 24 111.057692307692 1100 0 0 1.00806267078296
+28 0 1 0 0 132 24 24 111.057692307692 1142.30769230769 0 0 1.00777594362248
+28 0 1 0 0 136 24 24 111.057692307692 1184.61538461538 0 0 1.00750697508873
+28 0 1 0 0 140 24 24 111.057692307692 1226.92307692308 0 0 1.00725436763812
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 18 24 24 111.057692307692 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.02040187480887
+28 0 2 0 0 20 24 24 111.057692307692 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047789507648
+28 0 2 0 0 22 24 24 111.057692307692 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.02052377190003
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+28 0 2 0 0 28 24 24 111.057692307692 42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047789507648
+28 0 2 0 0 30 24 24 111.057692307692 63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.02040187480887
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+28 0 2 0 0 34 24 24 111.057692307692 105.769230769231 7.105427357601e-15 7.105427357601e-15 1.02016272114296
+28 0 2 0 0 36 24 24 111.057692307692 126.923076923077 7.105427357601e-15 7.105427357601e-15 1.0200020327038
+28 0 2 0 0 38 24 24 111.057692307692 148.076923076923 7.105427357601e-15 7.105427357601e-15 1.01981578644976
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+28 0 2 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.01796443830222
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+28 0 2 0 0 56 24 24 111.057692307692 338.461538461538 7.105427357601e-15 7.105427357601e-15 1.01732037722303
+28 0 2 0 0 58 24 24 111.057692307692 359.615384615385 7.105427357601e-15 7.105427357601e-15 1.01698910016906
+28 0 2 0 0 60 24 24 111.057692307692 380.769230769231 7.105427357601e-15 7.105427357601e-15 1.01665373052637
+28 0 2 0 0 62 24 24 111.057692307692 401.923076923077 7.105427357601e-15 7.105427357601e-15 1.01631657978543
+28 0 2 0 0 64 24 24 111.057692307692 423.076923076923 7.105427357601e-15 7.105427357601e-15 1.01597855861665
+28 0 2 0 0 66 24 24 111.057692307692 444.230769230769 7.105427357601e-15 7.105427357601e-15 1.01564086661585
+28 0 2 0 0 68 24 24 111.057692307692 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.01530470921897
+28 0 2 0 0 70 24 24 111.057692307692 486.538461538462 7.105427357601e-15 7.105427357601e-15 1.01497146149669
+28 0 2 0 0 72 24 24 111.057692307692 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.01464180461744
+28 0 2 0 0 74 24 24 111.057692307692 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.01431670586136
+28 0 2 0 0 76 24 24 111.057692307692 550 7.105427357601e-15 7.105427357601e-15 1.01399667548532
+28 0 2 0 0 78 24 24 111.057692307692 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.0136824301755
+28 0 2 0 0 80 24 24 111.057692307692 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.01337431358742
+28 0 2 0 0 82 24 24 111.057692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.01307285837111
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 21 24 24 111.057692307692 -31.7307692307692 7.105427357601e-15 7.105427357601e-15 1.02050463662156
+28 0 3 0 0 22 24 24 111.057692307692 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.02052377190003
+28 0 3 0 0 23 24 24 111.057692307692 -10.5769230769231 7.105427357601e-15 7.105427357601e-15 1.0205351769238
+28 0 3 0 0 24 24 24 111.057692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053894806338
+28 0 3 0 0 25 24 24 111.057692307692 10.5769230769231 7.105427357601e-15 7.105427357601e-15 1.0205351769238
+28 0 3 0 0 26 24 24 111.057692307692 21.1538461538462 7.105427357601e-15 7.105427357601e-15 1.02052377190003
+28 0 3 0 0 27 24 24 111.057692307692 31.7307692307692 7.105427357601e-15 7.105427357601e-15 1.02050463662156
+28 0 3 0 0 28 24 24 111.057692307692 42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047789507648
+28 0 3 0 0 29 24 24 111.057692307692 52.8846153846154 7.105427357601e-15 7.105427357601e-15 1.02044359984677
+28 0 3 0 0 30 24 24 111.057692307692 63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.02040187480887
+28 0 3 0 0 31 24 24 111.057692307692 74.0384615384616 7.105427357601e-15 7.105427357601e-15 1.02035277160599
+28 0 3 0 0 32 24 24 111.057692307692 84.6153846153846 7.105427357601e-15 7.105427357601e-15 1.02029643164931
+28 0 3 0 0 33 24 24 111.057692307692 95.1923076923077 7.105427357601e-15 7.105427357601e-15 1.02023301166678
+28 0 3 0 0 34 24 24 111.057692307692 105.769230769231 7.105427357601e-15 7.105427357601e-15 1.02016272114296
+28 0 3 0 0 35 24 24 111.057692307692 116.346153846154 7.105427357601e-15 7.105427357601e-15 1.02008567117355
+28 0 3 0 0 36 24 24 111.057692307692 126.923076923077 7.105427357601e-15 7.105427357601e-15 1.0200020327038
+28 0 3 0 0 37 24 24 111.057692307692 137.5 7.105427357601e-15 7.105427357601e-15 1.0199119751473
+28 0 3 0 0 38 24 24 111.057692307692 148.076923076923 7.105427357601e-15 7.105427357601e-15 1.01981578644976
+28 0 3 0 0 39 24 24 111.057692307692 158.653846153846 7.105427357601e-15 7.105427357601e-15 1.019713711312
+28 0 3 0 0 40 24 24 111.057692307692 169.230769230769 7.105427357601e-15 7.105427357601e-15 1.01960604286876
+28 0 3 0 0 41 24 24 111.057692307692 179.807692307692 7.105427357601e-15 7.105427357601e-15 1.01949310735178
+28 0 3 0 0 42 24 24 111.057692307692 190.384615384615 7.105427357601e-15 7.105427357601e-15 1.01937499643292
+28 0 3 0 0 43 24 24 111.057692307692 200.961538461539 7.105427357601e-15 7.105427357601e-15 1.01925182794061
+28 0 3 0 0 44 24 24 111.057692307692 211.538461538462 7.105427357601e-15 7.105427357601e-15 1.01912391873226
+28 0 3 0 0 45 24 24 111.057692307692 222.115384615385 7.105427357601e-15 7.105427357601e-15 1.01899141421424
+28 0 3 0 0 46 24 24 111.057692307692 232.692307692308 7.105427357601e-15 7.105427357601e-15 1.01885482325074
+28 0 3 0 0 47 24 24 111.057692307692 243.269230769231 7.105427357601e-15 7.105427357601e-15 1.01871474768033
+28 0 3 0 0 48 24 24 111.057692307692 253.846153846154 7.105427357601e-15 7.105427357601e-15 1.01857105296491
+28 0 3 0 0 49 24 24 111.057692307692 264.423076923077 7.105427357601e-15 7.105427357601e-15 1.01842357832532
+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 1.01827300439408
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 1.01812001578057
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.01796443830222
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 1.01780610441034
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gyy.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/gyy.y.asc
new file mode 100644
index 000000000..25fee5461
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gyy.y.asc
@@ -0,0 +1,864 @@
+# ADMBASE::gyy y (gyy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 1.01857101160765
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 1.01960605224309
+0 0 0 0 0 24 16 24 0 0 -84.6153846153846 0 1.02029641693505
+0 0 0 0 0 24 24 24 0 0 0 0 1.02053896717033
+0 0 0 0 0 24 32 24 0 0 84.6153846153846 0 1.02029641693505
+0 0 0 0 0 24 40 24 0 0 169.230769230769 0 1.01960605224309
+0 0 0 0 0 24 48 24 0 0 253.846153846154 0 1.01857101160765
+0 0 0 0 0 24 56 24 0 0 338.461538461539 0 1.01732029130819
+0 0 0 0 0 24 64 24 0 0 423.076923076923 0 1.01597850949553
+0 0 0 0 0 24 72 24 0 0 507.692307692308 0 1.01464185210732
+0 0 0 0 0 24 80 24 0 0 592.307692307692 0 1.01337434606597
+0 0 0 0 0 24 88 24 0 0 676.923076923077 0 1.01221034872541
+0 0 0 0 0 24 96 24 0 0 761.538461538462 0 1.01116344271757
+0 0 0 0 0 24 104 24 0 0 846.153846153846 0 1.01023395283803
+0 0 0 0 0 24 112 24 0 0 930.769230769231 0 1.00941461590367
+0 0 0 0 0 24 120 24 0 0 1015.38461538462 0 1.00869483055618
+0 0 0 0 0 24 128 24 0 0 1100 0 1.0080627851157
+0 0 0 0 0 24 136 24 0 0 1184.61538461538 0 1.0075070674037
+0 0 0 0 0 24 144 24 0 0 1269.23076923077 0 1.00701711135106
+0 0 0 0 0 24 152 24 0 0 1353.84615384615 0 1.00658359419917
+0 0 0 0 0 24 160 24 0 0 1438.46153846154 0 1.006198416854
+0 0 0 0 0 24 168 24 0 0 1523.07692307692 0 1.00585464623272
+0 0 0 0 0 24 176 24 0 0 1607.69230769231 0 1.00554639904053
+0 0 0 0 0 24 184 24 0 0 1692.30769230769 0 1.00526870807156
+0 0 0 0 0 24 192 24 0 0 1776.92307692308 0 1.00501738924373
+0 0 0 0 0 24 200 24 0 0 1861.53846153846 0 1.00478892340349
+0 0 0 0 0 24 208 24 0 0 1946.15384615385 0 1.00458035259249
+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 1.00438919102191
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 1.00421334648009
+0 0 0 0 0 24 232 24 0 0 2200 0 1.00405104893667
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 1.02000193918476
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 1.02029641693505
+0 0 1 0 0 24 20 24 0 0 -42.3076923076923 0 1.02047789124297
+0 0 1 0 0 24 24 24 0 0 0 0 1.02053896717033
+0 0 1 0 0 24 28 24 0 0 42.3076923076923 0 1.02047789124297
+0 0 1 0 0 24 32 24 0 0 84.6153846153846 0 1.02029641693505
+0 0 1 0 0 24 36 24 0 0 126.923076923077 0 1.02000193918476
+0 0 1 0 0 24 40 24 0 0 169.230769230769 0 1.01960605224309
+0 0 1 0 0 24 44 24 0 0 211.538461538462 0 1.01912384749715
+0 0 1 0 0 24 48 24 0 0 253.846153846154 0 1.01857101160765
+0 0 1 0 0 24 52 24 0 0 296.153846153846 0 1.01796438337812
+0 0 1 0 0 24 56 24 0 0 338.461538461538 0 1.01732029130819
+0 0 1 0 0 24 60 24 0 0 380.769230769231 0 1.0166537631369
+0 0 1 0 0 24 64 24 0 0 423.076923076923 0 1.01597850949553
+0 0 1 0 0 24 68 24 0 0 465.384615384615 0 1.01530476537934
+0 0 1 0 0 24 72 24 0 0 507.692307692308 0 1.01464185210732
+0 0 1 0 0 24 76 24 0 0 550 0 1.013996707195
+0 0 1 0 0 24 80 24 0 0 592.307692307692 0 1.01337434606597
+0 0 1 0 0 24 84 24 0 0 634.615384615385 0 1.01277822896438
+0 0 1 0 0 24 88 24 0 0 676.923076923077 0 1.01221034872541
+0 0 1 0 0 24 92 24 0 0 719.230769230769 0 1.01167200897287
+0 0 1 0 0 24 96 24 0 0 761.538461538462 0 1.01116344271757
+0 0 1 0 0 24 100 24 0 0 803.846153846154 0 1.01068439866994
+0 0 1 0 0 24 104 24 0 0 846.153846153846 0 1.01023395283803
+0 0 1 0 0 24 108 24 0 0 888.461538461538 0 1.00981117939165
+0 0 1 0 0 24 112 24 0 0 930.769230769231 0 1.00941461590367
+0 0 1 0 0 24 116 24 0 0 973.076923076923 0 1.00904301890113
+0 0 1 0 0 24 120 24 0 0 1015.38461538462 0 1.00869483055618
+0 0 1 0 0 24 124 24 0 0 1057.69230769231 0 1.0083685547414
+0 0 1 0 0 24 128 24 0 0 1100 0 1.0080627851157
+0 0 1 0 0 24 132 24 0 0 1142.30769230769 0 1.0077760465669
+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 1.0075070674037
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 1.00725445252533
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 18 24 0 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.0204018487379
+0 0 2 0 0 24 20 24 0 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 1.02047789124297
+0 0 2 0 0 24 22 24 0 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 1.02052374357434
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053896717033
+0 0 2 0 0 24 26 24 0 7.105427357601e-15 21.1538461538462 7.105427357601e-15 1.02052374357434
+0 0 2 0 0 24 28 24 0 7.105427357601e-15 42.3076923076923 7.105427357601e-15 1.02047789124297
+0 0 2 0 0 24 30 24 0 7.105427357601e-15 63.4615384615385 7.105427357601e-15 1.0204018487379
+0 0 2 0 0 24 32 24 0 7.105427357601e-15 84.6153846153846 7.105427357601e-15 1.02029641693505
+0 0 2 0 0 24 34 24 0 7.105427357601e-15 105.769230769231 7.105427357601e-15 1.02016267502063
+0 0 2 0 0 24 36 24 0 7.105427357601e-15 126.923076923077 7.105427357601e-15 1.02000193918476
+0 0 2 0 0 24 38 24 0 7.105427357601e-15 148.076923076923 7.105427357601e-15 1.01981576358925
+0 0 2 0 0 24 40 24 0 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.01960605224309
+0 0 2 0 0 24 42 24 0 7.105427357601e-15 190.384615384615 7.105427357601e-15 1.01937494147213
+0 0 2 0 0 24 44 24 0 7.105427357601e-15 211.538461538462 7.105427357601e-15 1.01912384749715
+0 0 2 0 0 24 46 24 0 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.01885488535482
+0 0 2 0 0 24 48 24 0 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.01857101160765
+0 0 2 0 0 24 50 24 0 7.105427357601e-15 275 7.105427357601e-15 1.01827301031043
+0 0 2 0 0 24 52 24 0 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.01796438337812
+0 0 2 0 0 24 54 24 0 7.105427357601e-15 317.307692307692 7.105427357601e-15 1.01764576019633
+0 0 2 0 0 24 56 24 0 7.105427357601e-15 338.461538461538 7.105427357601e-15 1.01732029130819
+0 0 2 0 0 24 58 24 0 7.105427357601e-15 359.615384615385 7.105427357601e-15 1.01698905647444
+0 0 2 0 0 24 60 24 0 7.105427357601e-15 380.769230769231 7.105427357601e-15 1.0166537631369
+0 0 2 0 0 24 62 24 0 7.105427357601e-15 401.923076923077 7.105427357601e-15 1.01631653374398
+0 0 2 0 0 24 64 24 0 7.105427357601e-15 423.076923076923 7.105427357601e-15 1.01597850949553
+0 0 2 0 0 24 66 24 0 7.105427357601e-15 444.230769230769 7.105427357601e-15 1.01564086558789
+0 0 2 0 0 24 68 24 0 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.01530476537934
+0 0 2 0 0 24 70 24 0 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.01497152088152
+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.01464185210732
+0 0 2 0 0 24 74 24 0 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.01431674486978
+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 1.013996707195
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.01368246223245
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.01337434606597
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307288239855
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 1.02000190582673
+4 0 1 0 0 24 16 24 15.8653846153846 0 -84.6153846153846 0 1.02029650218006
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+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 1.00725445058788
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 2 0 0 24 72 24 15.8653846153846 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.01464184880339
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+4 0 2 0 0 24 76 24 15.8653846153846 7.105427357601e-15 550 7.105427357601e-15 1.01399670380828
+4 0 2 0 0 24 78 24 15.8653846153846 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.01368246152118
+4 0 2 0 0 24 80 24 15.8653846153846 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.01337434846686
+4 0 2 0 0 24 82 24 15.8653846153846 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307288756185
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 0 24 31.7307692307692 0 -253.846153846154 0 1.01857080554194
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+8 0 0 0 0 24 232 24 31.7307692307692 0 2200 0 1.00405096296685
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 12 24 31.7307692307692 0 -126.923076923077 0 1.0200019326255
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+8 0 1 0 0 24 140 24 31.7307692307692 0 1226.92307692308 0 1.00725444477156
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 18 24 31.7307692307692 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.02040197639417
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+8 0 2 0 0 24 68 24 31.7307692307692 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.01530480129344
+8 0 2 0 0 24 70 24 31.7307692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.01497154348755
+8 0 2 0 0 24 72 24 31.7307692307692 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.0146418491885
+8 0 2 0 0 24 74 24 31.7307692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.01431673644894
+8 0 2 0 0 24 76 24 31.7307692307692 7.105427357601e-15 550 7.105427357601e-15 1.01399670041229
+8 0 2 0 0 24 78 24 31.7307692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.01368246476999
+8 0 2 0 0 24 80 24 31.7307692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.0133743575849
+8 0 2 0 0 24 82 24 31.7307692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307289223561
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 12 24 47.5961538461538 0 -126.923076923077 0 1.02000183355712
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+12 0 1 0 0 24 128 24 47.5961538461538 0 1100 0 1.00806276133403
+12 0 1 0 0 24 132 24 47.5961538461538 0 1142.30769230769 0 1.0077760245229
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 1.00725443473058
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 18 24 47.5961538461538 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.02040183851949
+12 0 2 0 0 24 20 24 47.5961538461538 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 1.02047791547022
+12 0 2 0 0 24 22 24 47.5961538461538 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 1.02052359954489
+12 0 2 0 0 24 24 24 47.5961538461538 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053891298279
+12 0 2 0 0 24 26 24 47.5961538461538 7.105427357601e-15 21.1538461538462 7.105427357601e-15 1.02052359954489
+12 0 2 0 0 24 28 24 47.5961538461538 7.105427357601e-15 42.3076923076923 7.105427357601e-15 1.02047791547022
+12 0 2 0 0 24 30 24 47.5961538461538 7.105427357601e-15 63.4615384615385 7.105427357601e-15 1.02040183851949
+12 0 2 0 0 24 32 24 47.5961538461538 7.105427357601e-15 84.6153846153846 7.105427357601e-15 1.02029652882346
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+12 0 2 0 0 24 40 24 47.5961538461538 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.01960607461289
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+12 0 2 0 0 24 46 24 47.5961538461538 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.01885490900101
+12 0 2 0 0 24 48 24 47.5961538461538 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.0185710740684
+12 0 2 0 0 24 50 24 47.5961538461538 7.105427357601e-15 275 7.105427357601e-15 1.01827293484767
+12 0 2 0 0 24 52 24 47.5961538461538 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.01796440236063
+12 0 2 0 0 24 54 24 47.5961538461538 7.105427357601e-15 317.307692307692 7.105427357601e-15 1.01764587237815
+12 0 2 0 0 24 56 24 47.5961538461538 7.105427357601e-15 338.461538461538 7.105427357601e-15 1.0173201153999
+12 0 2 0 0 24 58 24 47.5961538461538 7.105427357601e-15 359.615384615385 7.105427357601e-15 1.01698909536686
+12 0 2 0 0 24 60 24 47.5961538461538 7.105427357601e-15 380.769230769231 7.105427357601e-15 1.01665388829946
+12 0 2 0 0 24 62 24 47.5961538461538 7.105427357601e-15 401.923076923077 7.105427357601e-15 1.01631645199758
+12 0 2 0 0 24 64 24 47.5961538461538 7.105427357601e-15 423.076923076923 7.105427357601e-15 1.01597838095918
+12 0 2 0 0 24 66 24 47.5961538461538 7.105427357601e-15 444.230769230769 7.105427357601e-15 1.01564082798608
+12 0 2 0 0 24 68 24 47.5961538461538 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.01530483955368
+12 0 2 0 0 24 70 24 47.5961538461538 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.01497156502576
+12 0 2 0 0 24 72 24 47.5961538461538 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.0146418400577
+12 0 2 0 0 24 74 24 47.5961538461538 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.01431672121259
+12 0 2 0 0 24 76 24 47.5961538461538 7.105427357601e-15 550 7.105427357601e-15 1.01399668818259
+12 0 2 0 0 24 78 24 47.5961538461538 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.01368246669424
+12 0 2 0 0 24 80 24 47.5961538461538 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.01337437087815
+12 0 2 0 0 24 82 24 47.5961538461538 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307289366035
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 24 0 24 63.4615384615385 0 -253.846153846154 0 1.01857100977358
+16 0 0 0 0 24 8 24 63.4615384615385 0 -169.230769230769 0 1.01960607876512
+16 0 0 0 0 24 16 24 63.4615384615385 0 -84.6153846153846 0 1.02029648631004
+16 0 0 0 0 24 24 24 63.4615384615385 0 0 0 1.02053889000137
+16 0 0 0 0 24 32 24 63.4615384615385 0 84.6153846153846 0 1.02029648631004
+16 0 0 0 0 24 40 24 63.4615384615385 0 169.230769230769 0 1.01960607876512
+16 0 0 0 0 24 48 24 63.4615384615385 0 253.846153846154 0 1.01857100977358
+16 0 0 0 0 24 56 24 63.4615384615385 0 338.461538461539 0 1.01732032852982
+16 0 0 0 0 24 64 24 63.4615384615385 0 423.076923076923 0 1.01597841499936
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+16 0 0 0 0 24 144 24 63.4615384615385 0 1269.23076923077 0 1.00701708342699
+16 0 0 0 0 24 152 24 63.4615384615385 0 1353.84615384615 0 1.00658357204923
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+16 0 0 0 0 24 168 24 63.4615384615385 0 1523.07692307692 0 1.00585463162641
+16 0 0 0 0 24 176 24 63.4615384615385 0 1607.69230769231 0 1.00554638720291
+16 0 0 0 0 24 184 24 63.4615384615385 0 1692.30769230769 0 1.00526869836603
+16 0 0 0 0 24 192 24 63.4615384615385 0 1776.92307692308 0 1.00501738131814
+16 0 0 0 0 24 200 24 63.4615384615385 0 1861.53846153846 0 1.00478891689609
+16 0 0 0 0 24 208 24 63.4615384615385 0 1946.15384615385 0 1.00458034711499
+16 0 0 0 0 24 216 24 63.4615384615385 0 2030.76923076923 0 1.00438918768821
+16 0 0 0 0 24 224 24 63.4615384615385 0 2115.38461538462 0 1.00421334736244
+16 0 0 0 0 24 232 24 63.4615384615385 0 2200 0 1.00405093847858
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 12 24 63.4615384615385 0 -126.923076923077 0 1.020001819824
+16 0 1 0 0 24 16 24 63.4615384615385 0 -84.6153846153846 0 1.02029648631004
+16 0 1 0 0 24 20 24 63.4615384615385 0 -42.3076923076923 0 1.02047785648051
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+16 0 1 0 0 24 28 24 63.4615384615385 0 42.3076923076923 0 1.02047785648051
+16 0 1 0 0 24 32 24 63.4615384615385 0 84.6153846153846 0 1.02029648631004
+16 0 1 0 0 24 36 24 63.4615384615385 0 126.923076923077 0 1.020001819824
+16 0 1 0 0 24 40 24 63.4615384615385 0 169.230769230769 0 1.01960607876512
+16 0 1 0 0 24 44 24 63.4615384615385 0 211.538461538462 0 1.01912384668371
+16 0 1 0 0 24 48 24 63.4615384615385 0 253.846153846154 0 1.01857100977358
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+16 0 1 0 0 24 56 24 63.4615384615385 0 338.461538461538 0 1.01732032852982
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+16 0 1 0 0 24 76 24 63.4615384615385 0 550 0 1.01399665891685
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+16 0 1 0 0 24 96 24 63.4615384615385 0 761.538461538462 0 1.01116342252477
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+16 0 1 0 0 24 104 24 63.4615384615385 0 846.153846153846 0 1.01023392705917
+16 0 1 0 0 24 108 24 63.4615384615385 0 888.461538461538 0 1.00981114675028
+16 0 1 0 0 24 112 24 63.4615384615385 0 930.769230769231 0 1.00941457645346
+16 0 1 0 0 24 116 24 63.4615384615385 0 973.076923076923 0 1.00904297575402
+16 0 1 0 0 24 120 24 63.4615384615385 0 1015.38461538462 0 1.00869478592924
+16 0 1 0 0 24 124 24 63.4615384615385 0 1057.69230769231 0 1.00836851152926
+16 0 1 0 0 24 128 24 63.4615384615385 0 1100 0 1.00806274455499
+16 0 1 0 0 24 132 24 63.4615384615385 0 1142.30769230769 0 1.00777600812835
+16 0 1 0 0 24 136 24 63.4615384615385 0 1184.61538461538 0 1.00750703156818
+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 1.00725442058022
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 18 24 63.4615384615385 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.0204019151969
+16 0 2 0 0 24 20 24 63.4615384615385 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 1.02047785648051
+16 0 2 0 0 24 22 24 63.4615384615385 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 1.02052370727191
+16 0 2 0 0 24 24 24 63.4615384615385 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053889000137
+16 0 2 0 0 24 26 24 63.4615384615385 7.105427357601e-15 21.1538461538462 7.105427357601e-15 1.02052370727191
+16 0 2 0 0 24 28 24 63.4615384615385 7.105427357601e-15 42.3076923076923 7.105427357601e-15 1.02047785648051
+16 0 2 0 0 24 30 24 63.4615384615385 7.105427357601e-15 63.4615384615385 7.105427357601e-15 1.0204019151969
+16 0 2 0 0 24 32 24 63.4615384615385 7.105427357601e-15 84.6153846153846 7.105427357601e-15 1.02029648631004
+16 0 2 0 0 24 34 24 63.4615384615385 7.105427357601e-15 105.769230769231 7.105427357601e-15 1.02016265171597
+16 0 2 0 0 24 36 24 63.4615384615385 7.105427357601e-15 126.923076923077 7.105427357601e-15 1.020001819824
+16 0 2 0 0 24 38 24 63.4615384615385 7.105427357601e-15 148.076923076923 7.105427357601e-15 1.01981572230124
+16 0 2 0 0 24 40 24 63.4615384615385 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.01960607876512
+16 0 2 0 0 24 42 24 63.4615384615385 7.105427357601e-15 190.384615384615 7.105427357601e-15 1.01937496023612
+16 0 2 0 0 24 44 24 63.4615384615385 7.105427357601e-15 211.538461538462 7.105427357601e-15 1.01912384668371
+16 0 2 0 0 24 46 24 63.4615384615385 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.01885485142032
+16 0 2 0 0 24 48 24 63.4615384615385 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.01857100977358
+16 0 2 0 0 24 50 24 63.4615384615385 7.105427357601e-15 275 7.105427357601e-15 1.01827302403964
+16 0 2 0 0 24 52 24 63.4615384615385 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.01796444240742
+16 0 2 0 0 24 54 24 63.4615384615385 7.105427357601e-15 317.307692307692 7.105427357601e-15 1.01764566873148
+16 0 2 0 0 24 56 24 63.4615384615385 7.105427357601e-15 338.461538461538 7.105427357601e-15 1.01732032852982
+16 0 2 0 0 24 58 24 63.4615384615385 7.105427357601e-15 359.615384615385 7.105427357601e-15 1.01698911486026
+16 0 2 0 0 24 60 24 63.4615384615385 7.105427357601e-15 380.769230769231 7.105427357601e-15 1.01665377827369
+16 0 2 0 0 24 62 24 63.4615384615385 7.105427357601e-15 401.923076923077 7.105427357601e-15 1.01631646791768
+16 0 2 0 0 24 64 24 63.4615384615385 7.105427357601e-15 423.076923076923 7.105427357601e-15 1.01597841499936
+16 0 2 0 0 24 66 24 63.4615384615385 7.105427357601e-15 444.230769230769 7.105427357601e-15 1.01564085760063
+16 0 2 0 0 24 68 24 63.4615384615385 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.01530484375326
+16 0 2 0 0 24 70 24 63.4615384615385 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.0149715559355
+16 0 2 0 0 24 72 24 63.4615384615385 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.01464182022911
+16 0 2 0 0 24 74 24 63.4615384615385 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.01431669366019
+16 0 2 0 0 24 76 24 63.4615384615385 7.105427357601e-15 550 7.105427357601e-15 1.01399665891685
+16 0 2 0 0 24 78 24 63.4615384615385 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.01368244899044
+16 0 2 0 0 24 80 24 63.4615384615385 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.01337436565112
+16 0 2 0 0 24 82 24 63.4615384615385 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307289025707
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 24 12 24 79.3269230769231 0 -126.923076923077 0 1.02000196016817
+20 0 1 0 0 24 16 24 79.3269230769231 0 -84.6153846153846 0 1.0202964422606
+20 0 1 0 0 24 20 24 79.3269230769231 0 -42.3076923076923 0 1.02047793271005
+20 0 1 0 0 24 24 24 79.3269230769231 0 0 0 1.0205388697219
+20 0 1 0 0 24 28 24 79.3269230769231 0 42.3076923076923 0 1.02047793271005
+20 0 1 0 0 24 32 24 79.3269230769231 0 84.6153846153846 0 1.0202964422606
+20 0 1 0 0 24 36 24 79.3269230769231 0 126.923076923077 0 1.02000196016817
+20 0 1 0 0 24 40 24 79.3269230769231 0 169.230769230769 0 1.01960604498735
+20 0 1 0 0 24 44 24 79.3269230769231 0 211.538461538462 0 1.01912377658406
+20 0 1 0 0 24 48 24 79.3269230769231 0 253.846153846154 0 1.01857086206358
+20 0 1 0 0 24 52 24 79.3269230769231 0 296.153846153846 0 1.01796424250295
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+20 0 1 0 0 24 68 24 79.3269230769231 0 465.384615384615 0 1.01530481928186
+20 0 1 0 0 24 72 24 79.3269230769231 0 507.692307692308 0 1.01464180144124
+20 0 1 0 0 24 76 24 79.3269230769231 0 550 0 1.01399662606354
+20 0 1 0 0 24 80 24 79.3269230769231 0 592.307692307692 0 1.01337433166821
+20 0 1 0 0 24 84 24 79.3269230769231 0 634.615384615385 0 1.01277820782512
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+20 0 1 0 0 24 92 24 79.3269230769231 0 719.230769230769 0 1.0116720507578
+20 0 1 0 0 24 96 24 79.3269230769231 0 761.538461538462 0 1.01116340498024
+20 0 1 0 0 24 100 24 79.3269230769231 0 803.846153846154 0 1.01068436292777
+20 0 1 0 0 24 104 24 79.3269230769231 0 846.153846153846 0 1.01023389711765
+20 0 1 0 0 24 108 24 79.3269230769231 0 888.461538461538 0 1.00981112353317
+20 0 1 0 0 24 112 24 79.3269230769231 0 930.769230769231 0 1.00941456248046
+20 0 1 0 0 24 116 24 79.3269230769231 0 973.076923076923 0 1.00904295709193
+20 0 1 0 0 24 120 24 79.3269230769231 0 1015.38461538462 0 1.00869476061461
+20 0 1 0 0 24 124 24 79.3269230769231 0 1057.69230769231 0 1.00836848710385
+20 0 1 0 0 24 128 24 79.3269230769231 0 1100 0 1.00806272270714
+20 0 1 0 0 24 132 24 79.3269230769231 0 1142.30769230769 0 1.0077759873372
+20 0 1 0 0 24 136 24 79.3269230769231 0 1184.61538461538 0 1.00750701190184
+20 0 1 0 0 24 140 24 79.3269230769231 0 1226.92307692308 0 1.00725440284918
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 24 18 24 79.3269230769231 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.02040194212887
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 0 0 0 24 232 24 95.1923076923077 0 2200 0 1.00405093333934
+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 1 0 0 24 140 24 95.1923076923077 0 1226.92307692308 0 1.00725438136122
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 2 0 0 24 82 24 95.1923076923077 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307283922687
+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 24 37 24 95.1923076923077 7.105427357601e-15 137.5 7.105427357601e-15 1.01991185010099
+24 0 3 0 0 24 38 24 95.1923076923077 7.105427357601e-15 148.076923076923 7.105427357601e-15 1.01981569351028
+24 0 3 0 0 24 39 24 95.1923076923077 7.105427357601e-15 158.653846153846 7.105427357601e-15 1.01971363549132
+24 0 3 0 0 24 40 24 95.1923076923077 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.01960600474809
+24 0 3 0 0 24 41 24 95.1923076923077 7.105427357601e-15 179.807692307692 7.105427357601e-15 1.01949309364711
+24 0 3 0 0 24 42 24 95.1923076923077 7.105427357601e-15 190.384615384615 7.105427357601e-15 1.01937499356491
+24 0 3 0 0 24 43 24 95.1923076923077 7.105427357601e-15 200.961538461539 7.105427357601e-15 1.0192517348633
+24 0 3 0 0 24 44 24 95.1923076923077 7.105427357601e-15 211.538461538462 7.105427357601e-15 1.01912371507714
+24 0 3 0 0 24 45 24 95.1923076923077 7.105427357601e-15 222.115384615385 7.105427357601e-15 1.01899139164157
+24 0 3 0 0 24 46 24 95.1923076923077 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.01885497650128
+24 0 3 0 0 24 47 24 95.1923076923077 7.105427357601e-15 243.269230769231 7.105427357601e-15 1.0187147934138
+24 0 3 0 0 24 48 24 95.1923076923077 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.01857096381322
+24 0 3 0 0 24 49 24 95.1923076923077 7.105427357601e-15 264.423076923077 7.105427357601e-15 1.01842355681098
+24 0 3 0 0 24 50 24 95.1923076923077 7.105427357601e-15 275 7.105427357601e-15 1.0182730527978
+24 0 3 0 0 24 51 24 95.1923076923077 7.105427357601e-15 285.576923076923 7.105427357601e-15 1.01811993197011
+24 0 3 0 0 24 52 24 95.1923076923077 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.01796426287391
+24 0 3 0 0 24 53 24 95.1923076923077 7.105427357601e-15 306.730769230769 7.105427357601e-15 1.01780617458867
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 1 0 0 24 12 24 111.057692307692 0 -126.923076923077 0 1.02000184760708
+28 0 1 0 0 24 16 24 111.057692307692 0 -84.6153846153846 0 1.0202965123655
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+28 0 1 0 0 24 36 24 111.057692307692 0 126.923076923077 0 1.02000184760708
+28 0 1 0 0 24 40 24 111.057692307692 0 169.230769230769 0 1.01960610174651
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+28 0 1 0 0 24 120 24 111.057692307692 0 1015.38461538462 0 1.00869469964591
+28 0 1 0 0 24 124 24 111.057692307692 0 1057.69230769231 0 1.00836842495193
+28 0 1 0 0 24 128 24 111.057692307692 0 1100 0 1.00806266388412
+28 0 1 0 0 24 132 24 111.057692307692 0 1142.30769230769 0 1.00777593241309
+28 0 1 0 0 24 136 24 111.057692307692 0 1184.61538461538 0 1.00750696168433
+28 0 1 0 0 24 140 24 111.057692307692 0 1226.92307692308 0 1.00725435691763
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 24 18 24 111.057692307692 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.02040192786487
+28 0 2 0 0 24 20 24 111.057692307692 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 1.0204779773375
+28 0 2 0 0 24 22 24 111.057692307692 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 1.02052372058587
+28 0 2 0 0 24 24 24 111.057692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053894806338
+28 0 2 0 0 24 26 24 111.057692307692 7.105427357601e-15 21.1538461538462 7.105427357601e-15 1.02052372058587
+28 0 2 0 0 24 28 24 111.057692307692 7.105427357601e-15 42.3076923076923 7.105427357601e-15 1.0204779773375
+28 0 2 0 0 24 30 24 111.057692307692 7.105427357601e-15 63.4615384615385 7.105427357601e-15 1.02040192786487
+28 0 2 0 0 24 32 24 111.057692307692 7.105427357601e-15 84.6153846153846 7.105427357601e-15 1.0202965123655
+28 0 2 0 0 24 34 24 111.057692307692 7.105427357601e-15 105.769230769231 7.105427357601e-15 1.02016268930494
+28 0 2 0 0 24 36 24 111.057692307692 7.105427357601e-15 126.923076923077 7.105427357601e-15 1.02000184760708
+28 0 2 0 0 24 38 24 111.057692307692 7.105427357601e-15 148.076923076923 7.105427357601e-15 1.0198157610674
+28 0 2 0 0 24 40 24 111.057692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.01960610174651
+28 0 2 0 0 24 42 24 111.057692307692 7.105427357601e-15 190.384615384615 7.105427357601e-15 1.0193749474828
+28 0 2 0 0 24 44 24 111.057692307692 7.105427357601e-15 211.538461538462 7.105427357601e-15 1.01912377727355
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+28 0 2 0 0 24 62 24 111.057692307692 7.105427357601e-15 401.923076923077 7.105427357601e-15 1.01631643505589
+28 0 2 0 0 24 64 24 111.057692307692 7.105427357601e-15 423.076923076923 7.105427357601e-15 1.01597845856152
+28 0 2 0 0 24 66 24 111.057692307692 7.105427357601e-15 444.230769230769 7.105427357601e-15 1.01564086269967
+28 0 2 0 0 24 68 24 111.057692307692 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.01530480645352
+28 0 2 0 0 24 70 24 111.057692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.01497152653355
+28 0 2 0 0 24 72 24 111.057692307692 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.01464180429363
+28 0 2 0 0 24 74 24 111.057692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.01431666376806
+28 0 2 0 0 24 76 24 111.057692307692 7.105427357601e-15 550 7.105427357601e-15 1.01399660682589
+28 0 2 0 0 24 78 24 111.057692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.0136823697408
+28 0 2 0 0 24 80 24 111.057692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.0133742689385
+28 0 2 0 0 24 82 24 111.057692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307281007968
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 24 21 24 111.057692307692 7.105427357601e-15 -31.7307692307692 7.105427357601e-15 1.02050464976731
+28 0 3 0 0 24 22 24 111.057692307692 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 1.02052372058587
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+28 0 3 0 0 24 24 24 111.057692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053894806338
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+28 0 3 0 0 24 28 24 111.057692307692 7.105427357601e-15 42.3076923076923 7.105427357601e-15 1.0204779773375
+28 0 3 0 0 24 29 24 111.057692307692 7.105427357601e-15 52.8846153846154 7.105427357601e-15 1.02044369347545
+28 0 3 0 0 24 30 24 111.057692307692 7.105427357601e-15 63.4615384615385 7.105427357601e-15 1.02040192786487
+28 0 3 0 0 24 31 24 111.057692307692 7.105427357601e-15 74.0384615384616 7.105427357601e-15 1.02035280879136
+28 0 3 0 0 24 32 24 111.057692307692 7.105427357601e-15 84.6153846153846 7.105427357601e-15 1.0202965123655
+28 0 3 0 0 24 33 24 111.057692307692 7.105427357601e-15 95.1923076923077 7.105427357601e-15 1.02023309380032
+28 0 3 0 0 24 34 24 111.057692307692 7.105427357601e-15 105.769230769231 7.105427357601e-15 1.02016268930494
+28 0 3 0 0 24 35 24 111.057692307692 7.105427357601e-15 116.346153846154 7.105427357601e-15 1.02008551547919
+28 0 3 0 0 24 36 24 111.057692307692 7.105427357601e-15 126.923076923077 7.105427357601e-15 1.02000184760708
+28 0 3 0 0 24 37 24 111.057692307692 7.105427357601e-15 137.5 7.105427357601e-15 1.0199118530626
+28 0 3 0 0 24 38 24 111.057692307692 7.105427357601e-15 148.076923076923 7.105427357601e-15 1.0198157610674
+28 0 3 0 0 24 39 24 111.057692307692 7.105427357601e-15 158.653846153846 7.105427357601e-15 1.01971375476864
+28 0 3 0 0 24 40 24 111.057692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.01960610174651
+28 0 3 0 0 24 41 24 111.057692307692 7.105427357601e-15 179.807692307692 7.105427357601e-15 1.01949311348229
+28 0 3 0 0 24 42 24 111.057692307692 7.105427357601e-15 190.384615384615 7.105427357601e-15 1.0193749474828
+28 0 3 0 0 24 43 24 111.057692307692 7.105427357601e-15 200.961538461539 7.105427357601e-15 1.01925172936865
+28 0 3 0 0 24 44 24 111.057692307692 7.105427357601e-15 211.538461538462 7.105427357601e-15 1.01912377727355
+28 0 3 0 0 24 45 24 111.057692307692 7.105427357601e-15 222.115384615385 7.105427357601e-15 1.01899140163415
+28 0 3 0 0 24 46 24 111.057692307692 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.01885493433565
+28 0 3 0 0 24 47 24 111.057692307692 7.105427357601e-15 243.269230769231 7.105427357601e-15 1.01871480851124
+28 0 3 0 0 24 48 24 111.057692307692 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.01857103012274
+28 0 3 0 0 24 49 24 111.057692307692 7.105427357601e-15 264.423076923077 7.105427357601e-15 1.01842353930702
+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 1.01827296653629
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 1.01811996544024
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.01796440525174
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 1.01780620828509
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gyy.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/gyy.z.asc
new file mode 100644
index 000000000..563e82737
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gyy.z.asc
@@ -0,0 +1,864 @@
+# ADMBASE::gyy z (gyy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 1.01857101160765
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 1.01960605224309
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 1.02029641693505
+0 0 0 0 0 24 24 24 0 0 0 0 1.02053896717033
+0 0 0 0 0 24 24 32 0 0 0 84.6153846153846 1.02029641693505
+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 1.01960605224309
+0 0 0 0 0 24 24 48 0 0 0 253.846153846154 1.01857101160766
+0 0 0 0 0 24 24 56 0 0 0 338.461538461539 1.01732029130819
+0 0 0 0 0 24 24 64 0 0 0 423.076923076923 1.01597850949553
+0 0 0 0 0 24 24 72 0 0 0 507.692307692308 1.01464185210732
+0 0 0 0 0 24 24 80 0 0 0 592.307692307692 1.01337434606597
+0 0 0 0 0 24 24 88 0 0 0 676.923076923077 1.01221034872541
+0 0 0 0 0 24 24 96 0 0 0 761.538461538462 1.01116344271757
+0 0 0 0 0 24 24 104 0 0 0 846.153846153846 1.01023395283803
+0 0 0 0 0 24 24 112 0 0 0 930.769230769231 1.00941461590367
+0 0 0 0 0 24 24 120 0 0 0 1015.38461538462 1.00869483055618
+0 0 0 0 0 24 24 128 0 0 0 1100 1.0080627851157
+0 0 0 0 0 24 24 136 0 0 0 1184.61538461538 1.0075070674037
+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 1.00701711135106
+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 1.00658359419917
+0 0 0 0 0 24 24 160 0 0 0 1438.46153846154 1.006198416854
+0 0 0 0 0 24 24 168 0 0 0 1523.07692307692 1.00585464623272
+0 0 0 0 0 24 24 176 0 0 0 1607.69230769231 1.00554639904053
+0 0 0 0 0 24 24 184 0 0 0 1692.30769230769 1.00526870807156
+0 0 0 0 0 24 24 192 0 0 0 1776.92307692308 1.00501738924373
+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 1.00478892340349
+0 0 0 0 0 24 24 208 0 0 0 1946.15384615385 1.00458035259249
+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 1.00438919102191
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 1.00421334648009
+0 0 0 0 0 24 24 232 0 0 0 2200 1.00405104893667
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 1.02000193918476
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 1.02029641693505
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 1.02047789124297
+0 0 1 0 0 24 24 24 0 0 0 0 1.02053896717033
+0 0 1 0 0 24 24 28 0 0 0 42.3076923076923 1.02047789124297
+0 0 1 0 0 24 24 32 0 0 0 84.6153846153846 1.02029641693505
+0 0 1 0 0 24 24 36 0 0 0 126.923076923077 1.02000193918476
+0 0 1 0 0 24 24 40 0 0 0 169.230769230769 1.01960605224309
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+0 0 1 0 0 24 24 56 0 0 0 338.461538461538 1.01732029130819
+0 0 1 0 0 24 24 60 0 0 0 380.769230769231 1.0166537631369
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+0 0 1 0 0 24 24 80 0 0 0 592.307692307692 1.01337434606597
+0 0 1 0 0 24 24 84 0 0 0 634.615384615385 1.01277822896438
+0 0 1 0 0 24 24 88 0 0 0 676.923076923077 1.01221034872541
+0 0 1 0 0 24 24 92 0 0 0 719.230769230769 1.01167200897287
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+0 0 1 0 0 24 24 108 0 0 0 888.461538461538 1.00981117939165
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+0 0 1 0 0 24 24 128 0 0 0 1100 1.0080627851157
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+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 1.0075070674037
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 1.00725445252533
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.0204018487379
+0 0 2 0 0 24 24 20 0 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.02047789124297
+0 0 2 0 0 24 24 22 0 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.02052374357434
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+0 0 2 0 0 24 24 26 0 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.02052374357434
+0 0 2 0 0 24 24 28 0 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.02047789124297
+0 0 2 0 0 24 24 30 0 7.105427357601e-15 7.105427357601e-15 63.4615384615385 1.0204018487379
+0 0 2 0 0 24 24 32 0 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.02029641693505
+0 0 2 0 0 24 24 34 0 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.02016267502063
+0 0 2 0 0 24 24 36 0 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.02000193918476
+0 0 2 0 0 24 24 38 0 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.01981576358925
+0 0 2 0 0 24 24 40 0 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.01960605224309
+0 0 2 0 0 24 24 42 0 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.01937494147213
+0 0 2 0 0 24 24 44 0 7.105427357601e-15 7.105427357601e-15 211.538461538462 1.01912384749715
+0 0 2 0 0 24 24 46 0 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.01885488535482
+0 0 2 0 0 24 24 48 0 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.01857101160766
+0 0 2 0 0 24 24 50 0 7.105427357601e-15 7.105427357601e-15 275 1.01827301031043
+0 0 2 0 0 24 24 52 0 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.01796438337812
+0 0 2 0 0 24 24 54 0 7.105427357601e-15 7.105427357601e-15 317.307692307692 1.01764576019633
+0 0 2 0 0 24 24 56 0 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.01732029130819
+0 0 2 0 0 24 24 58 0 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.01698905647444
+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.0166537631369
+0 0 2 0 0 24 24 62 0 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.01631653374398
+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.01597850949553
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.01564086558789
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.01530476537934
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.01497152088152
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.01464185210732
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.01431674486978
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 1.013996707195
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.01368246223245
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.01337434606597
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.01307288239855
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 1.02000196114796
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 1.02029644673345
+4 0 1 0 0 24 24 20 15.8653846153846 0 0 -42.3076923076923 1.02047789790441
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 1.02053889656745
+4 0 1 0 0 24 24 28 15.8653846153846 0 0 42.3076923076923 1.02047789790441
+4 0 1 0 0 24 24 32 15.8653846153846 0 0 84.6153846153846 1.02029644673345
+4 0 1 0 0 24 24 36 15.8653846153846 0 0 126.923076923077 1.02000196114796
+4 0 1 0 0 24 24 40 15.8653846153846 0 0 169.230769230769 1.01960599449463
+4 0 1 0 0 24 24 44 15.8653846153846 0 0 211.538461538462 1.01912388791235
+4 0 1 0 0 24 24 48 15.8653846153846 0 0 253.846153846154 1.01857109890443
+4 0 1 0 0 24 24 52 15.8653846153846 0 0 296.153846153846 1.01796446395597
+4 0 1 0 0 24 24 56 15.8653846153846 0 0 338.461538461538 1.01732030948849
+4 0 1 0 0 24 24 60 15.8653846153846 0 0 380.769230769231 1.01665372571107
+4 0 1 0 0 24 24 64 15.8653846153846 0 0 423.076923076923 1.01597852736616
+4 0 1 0 0 24 24 68 15.8653846153846 0 0 465.384615384615 1.01530477271247
+4 0 1 0 0 24 24 72 15.8653846153846 0 0 507.692307692308 1.01464184882267
+4 0 1 0 0 24 24 76 15.8653846153846 0 0 550 1.01399670380334
+4 0 1 0 0 24 24 80 15.8653846153846 0 0 592.307692307692 1.01337434849008
+4 0 1 0 0 24 24 84 15.8653846153846 0 0 634.615384615385 1.01277823474814
+4 0 1 0 0 24 24 88 15.8653846153846 0 0 676.923076923077 1.01221034346654
+4 0 1 0 0 24 24 92 15.8653846153846 0 0 719.230769230769 1.01167201048804
+4 0 1 0 0 24 24 96 15.8653846153846 0 0 761.538461538462 1.01116343839434
+4 0 1 0 0 24 24 100 15.8653846153846 0 0 803.846153846154 1.01068440069894
+4 0 1 0 0 24 24 104 15.8653846153846 0 0 846.153846153846 1.01023395134505
+4 0 1 0 0 24 24 108 15.8653846153846 0 0 888.461538461538 1.00981117560364
+4 0 1 0 0 24 24 112 15.8653846153846 0 0 930.769230769231 1.00941461225564
+4 0 1 0 0 24 24 116 15.8653846153846 0 0 973.076923076923 1.00904301593376
+4 0 1 0 0 24 24 120 15.8653846153846 0 0 1015.38461538462 1.00869482814811
+4 0 1 0 0 24 24 124 15.8653846153846 0 0 1057.69230769231 1.0083685521255
+4 0 1 0 0 24 24 128 15.8653846153846 0 0 1100 1.00806278222948
+4 0 1 0 0 24 24 132 15.8653846153846 0 0 1142.30769230769 1.00777604399794
+4 0 1 0 0 24 24 136 15.8653846153846 0 0 1184.61538461538 1.00750706525467
+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 1.00725445056721
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 24 18 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.02040185061589
+4 0 2 0 0 24 24 20 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.02047789790441
+4 0 2 0 0 24 24 22 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.02052375200684
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053889656745
+4 0 2 0 0 24 24 26 15.8653846153846 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.02052375200684
+4 0 2 0 0 24 24 28 15.8653846153846 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.02047789790441
+4 0 2 0 0 24 24 30 15.8653846153846 7.105427357601e-15 7.105427357601e-15 63.4615384615385 1.02040185061589
+4 0 2 0 0 24 24 32 15.8653846153846 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.02029644673345
+4 0 2 0 0 24 24 34 15.8653846153846 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.02016270089192
+4 0 2 0 0 24 24 36 15.8653846153846 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.02000196114796
+4 0 2 0 0 24 24 38 15.8653846153846 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.01981575191535
+4 0 2 0 0 24 24 40 15.8653846153846 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.01960599449463
+4 0 2 0 0 24 24 42 15.8653846153846 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.01937496863914
+4 0 2 0 0 24 24 44 15.8653846153846 7.105427357601e-15 7.105427357601e-15 211.538461538462 1.01912388791235
+4 0 2 0 0 24 24 46 15.8653846153846 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.01885480493915
+4 0 2 0 0 24 24 48 15.8653846153846 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.01857109890443
+4 0 2 0 0 24 24 50 15.8653846153846 7.105427357601e-15 7.105427357601e-15 275 1.01827292771521
+4 0 2 0 0 24 24 52 15.8653846153846 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.01796446395597
+4 0 2 0 0 24 24 54 15.8653846153846 7.105427357601e-15 7.105427357601e-15 317.307692307692 1.01764569798779
+4 0 2 0 0 24 24 56 15.8653846153846 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.01732030948849
+4 0 2 0 0 24 24 58 15.8653846153846 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.01698908699066
+4 0 2 0 0 24 24 60 15.8653846153846 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.01665372571107
+4 0 2 0 0 24 24 62 15.8653846153846 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.01631652224272
+4 0 2 0 0 24 24 64 15.8653846153846 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.01597852736616
+4 0 2 0 0 24 24 66 15.8653846153846 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.01564088230531
+4 0 2 0 0 24 24 68 15.8653846153846 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.01530477271247
+4 0 2 0 0 24 24 70 15.8653846153846 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.01497152225321
+4 0 2 0 0 24 24 72 15.8653846153846 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.01464184882267
+4 0 2 0 0 24 24 74 15.8653846153846 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.01431674050482
+4 0 2 0 0 24 24 76 15.8653846153846 7.105427357601e-15 7.105427357601e-15 550 1.01399670380334
+4 0 2 0 0 24 24 78 15.8653846153846 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.01368246153249
+4 0 2 0 0 24 24 80 15.8653846153846 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.01337434849008
+4 0 2 0 0 24 24 82 15.8653846153846 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.01307288755676
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 24 0 31.7307692307692 0 0 -253.846153846154 1.01857113388235
+8 0 0 0 0 24 24 8 31.7307692307692 0 0 -169.230769230769 1.01960598170853
+8 0 0 0 0 24 24 16 31.7307692307692 0 0 -84.6153846153846 1.02029635648813
+8 0 0 0 0 24 24 24 31.7307692307692 0 0 0 1.02053894530132
+8 0 0 0 0 24 24 32 31.7307692307692 0 0 84.6153846153846 1.02029635648813
+8 0 0 0 0 24 24 40 31.7307692307692 0 0 169.230769230769 1.01960598170853
+8 0 0 0 0 24 24 48 31.7307692307692 0 0 253.846153846154 1.01857113388235
+8 0 0 0 0 24 24 56 31.7307692307692 0 0 338.461538461539 1.01732040613148
+8 0 0 0 0 24 24 64 31.7307692307692 0 0 423.076923076923 1.01597859722643
+8 0 0 0 0 24 24 72 31.7307692307692 0 0 507.692307692308 1.0146418293472
+8 0 0 0 0 24 24 80 31.7307692307692 0 0 592.307692307692 1.01337433230742
+8 0 0 0 0 24 24 88 31.7307692307692 0 0 676.923076923077 1.01221034009905
+8 0 0 0 0 24 24 96 31.7307692307692 0 0 761.538461538462 1.01116343041689
+8 0 0 0 0 24 24 104 31.7307692307692 0 0 846.153846153846 1.0102339511135
+8 0 0 0 0 24 24 112 31.7307692307692 0 0 930.769230769231 1.00941460127515
+8 0 0 0 0 24 24 120 31.7307692307692 0 0 1015.38461538462 1.00869482090433
+8 0 0 0 0 24 24 128 31.7307692307692 0 0 1100 1.00806277356039
+8 0 0 0 0 24 24 136 31.7307692307692 0 0 1184.61538461538 1.00750705880207
+8 0 0 0 0 24 24 144 31.7307692307692 0 0 1269.23076923077 1.00701710413043
+8 0 0 0 0 24 24 152 31.7307692307692 0 0 1353.84615384615 1.00658358873644
+8 0 0 0 0 24 24 160 31.7307692307692 0 0 1438.46153846154 1.00619841225792
+8 0 0 0 0 24 24 168 31.7307692307692 0 0 1523.07692307692 1.00585464261428
+8 0 0 0 0 24 24 176 31.7307692307692 0 0 1607.69230769231 1.00554639607197
+8 0 0 0 0 24 24 184 31.7307692307692 0 0 1692.30769230769 1.00526870563311
+8 0 0 0 0 24 24 192 31.7307692307692 0 0 1776.92307692308 1.00501738726257
+8 0 0 0 0 24 24 200 31.7307692307692 0 0 1861.53846153846 1.00478892178471
+8 0 0 0 0 24 24 208 31.7307692307692 0 0 1946.15384615385 1.00458035124051
+8 0 0 0 0 24 24 216 31.7307692307692 0 0 2030.76923076923 1.00438918992072
+8 0 0 0 0 24 24 224 31.7307692307692 0 0 2115.38461538462 1.00421334678826
+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 1.0040509629624
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 24 12 31.7307692307692 0 0 -126.923076923077 1.02000198297558
+8 0 1 0 0 24 24 16 31.7307692307692 0 0 -84.6153846153846 1.02029635648813
+8 0 1 0 0 24 24 20 31.7307692307692 0 0 -42.3076923076923 1.02047780734466
+8 0 1 0 0 24 24 24 31.7307692307692 0 0 0 1.02053894530132
+8 0 1 0 0 24 24 28 31.7307692307692 0 0 42.3076923076923 1.02047780734466
+8 0 1 0 0 24 24 32 31.7307692307692 0 0 84.6153846153846 1.02029635648813
+8 0 1 0 0 24 24 36 31.7307692307692 0 0 126.923076923077 1.02000198297558
+8 0 1 0 0 24 24 40 31.7307692307692 0 0 169.230769230769 1.01960598170853
+8 0 1 0 0 24 24 44 31.7307692307692 0 0 211.538461538462 1.01912396008879
+8 0 1 0 0 24 24 48 31.7307692307692 0 0 253.846153846154 1.01857113388235
+8 0 1 0 0 24 24 52 31.7307692307692 0 0 296.153846153846 1.01796452081868
+8 0 1 0 0 24 24 56 31.7307692307692 0 0 338.461538461538 1.01732040613148
+8 0 1 0 0 24 24 60 31.7307692307692 0 0 380.769230769231 1.01665365128323
+8 0 1 0 0 24 24 64 31.7307692307692 0 0 423.076923076923 1.01597859722643
+8 0 1 0 0 24 24 68 31.7307692307692 0 0 465.384615384615 1.01530474638426
+8 0 1 0 0 24 24 72 31.7307692307692 0 0 507.692307692308 1.0146418293472
+8 0 1 0 0 24 24 76 31.7307692307692 0 0 550 1.01399668735817
+8 0 1 0 0 24 24 80 31.7307692307692 0 0 592.307692307692 1.01337433230742
+8 0 1 0 0 24 24 84 31.7307692307692 0 0 634.615384615385 1.01277824542709
+8 0 1 0 0 24 24 88 31.7307692307692 0 0 676.923076923077 1.01221034009905
+8 0 1 0 0 24 24 92 31.7307692307692 0 0 719.230769230769 1.01167200595613
+8 0 1 0 0 24 24 96 31.7307692307692 0 0 761.538461538462 1.01116343041689
+8 0 1 0 0 24 24 100 31.7307692307692 0 0 803.846153846154 1.01068440686918
+8 0 1 0 0 24 24 104 31.7307692307692 0 0 846.153846153846 1.0102339511135
+8 0 1 0 0 24 24 108 31.7307692307692 0 0 888.461538461538 1.0098111715619
+8 0 1 0 0 24 24 112 31.7307692307692 0 0 930.769230769231 1.00941460127515
+8 0 1 0 0 24 24 116 31.7307692307692 0 0 973.076923076923 1.00904300607515
+8 0 1 0 0 24 24 120 31.7307692307692 0 0 1015.38461538462 1.00869482090433
+8 0 1 0 0 24 24 124 31.7307692307692 0 0 1057.69230769231 1.00836854426355
+8 0 1 0 0 24 24 128 31.7307692307692 0 0 1100 1.00806277356039
+8 0 1 0 0 24 24 132 31.7307692307692 0 0 1142.30769230769 1.0077760362835
+8 0 1 0 0 24 24 136 31.7307692307692 0 0 1184.61538461538 1.00750705880207
+8 0 1 0 0 24 24 140 31.7307692307692 0 0 1226.92307692308 1.00725444468885
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 24 18 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.02040179522406
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+8 0 2 0 0 24 24 32 31.7307692307692 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.02029635648813
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+8 0 2 0 0 24 24 36 31.7307692307692 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.02000198297558
+8 0 2 0 0 24 24 38 31.7307692307692 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.019815821853
+8 0 2 0 0 24 24 40 31.7307692307692 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.01960598170853
+8 0 2 0 0 24 24 42 31.7307692307692 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.01937491912332
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+8 0 2 0 0 24 24 46 31.7307692307692 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.01885475007994
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+8 0 2 0 0 24 24 50 31.7307692307692 7.105427357601e-15 7.105427357601e-15 275 1.01827289139398
+8 0 2 0 0 24 24 52 31.7307692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.01796452081868
+8 0 2 0 0 24 24 54 31.7307692307692 7.105427357601e-15 7.105427357601e-15 317.307692307692 1.01764560540745
+8 0 2 0 0 24 24 56 31.7307692307692 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.01732040613148
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+8 0 2 0 0 24 24 66 31.7307692307692 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.01564091263965
+8 0 2 0 0 24 24 68 31.7307692307692 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.01530474638426
+8 0 2 0 0 24 24 70 31.7307692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.01497149315682
+8 0 2 0 0 24 24 72 31.7307692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.0146418293472
+8 0 2 0 0 24 24 74 31.7307692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.01431672295632
+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 1.01399668735817
+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.01368244372748
+8 0 2 0 0 24 24 80 31.7307692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.01337433230742
+8 0 2 0 0 24 24 82 31.7307692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.01307288570291
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 24 12 47.5961538461538 0 0 -126.923076923077 1.02000197773301
+12 0 1 0 0 24 24 16 47.5961538461538 0 0 -84.6153846153846 1.02029634613468
+12 0 1 0 0 24 24 20 47.5961538461538 0 0 -42.3076923076923 1.02047788890037
+12 0 1 0 0 24 24 24 47.5961538461538 0 0 0 1.02053891298279
+12 0 1 0 0 24 24 28 47.5961538461538 0 0 42.3076923076923 1.02047788890037
+12 0 1 0 0 24 24 32 47.5961538461538 0 0 84.6153846153846 1.02029634613468
+12 0 1 0 0 24 24 36 47.5961538461538 0 0 126.923076923077 1.02000197773301
+12 0 1 0 0 24 24 40 47.5961538461538 0 0 169.230769230769 1.01960600101236
+12 0 1 0 0 24 24 44 47.5961538461538 0 0 211.538461538462 1.01912390037437
+12 0 1 0 0 24 24 48 47.5961538461538 0 0 253.846153846154 1.01857104486682
+12 0 1 0 0 24 24 52 47.5961538461538 0 0 296.153846153846 1.0179644321483
+12 0 1 0 0 24 24 56 47.5961538461538 0 0 338.461538461538 1.01732036928992
+12 0 1 0 0 24 24 60 47.5961538461538 0 0 380.769230769231 1.01665369642493
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+12 0 1 0 0 24 24 68 47.5961538461538 0 0 465.384615384615 1.01530470467412
+12 0 1 0 0 24 24 72 47.5961538461538 0 0 507.692307692308 1.01464180688901
+12 0 1 0 0 24 24 76 47.5961538461538 0 0 550 1.01399666955128
+12 0 1 0 0 24 24 80 47.5961538461538 0 0 592.307692307692 1.01337430243228
+12 0 1 0 0 24 24 84 47.5961538461538 0 0 634.615384615385 1.01277823965825
+12 0 1 0 0 24 24 88 47.5961538461538 0 0 676.923076923077 1.01221034779951
+12 0 1 0 0 24 24 92 47.5961538461538 0 0 719.230769230769 1.01167198884515
+12 0 1 0 0 24 24 96 47.5961538461538 0 0 761.538461538462 1.01116342882095
+12 0 1 0 0 24 24 100 47.5961538461538 0 0 803.846153846154 1.01068441242726
+12 0 1 0 0 24 24 104 47.5961538461538 0 0 846.153846153846 1.01023395029184
+12 0 1 0 0 24 24 108 47.5961538461538 0 0 888.461538461538 1.00981115829389
+12 0 1 0 0 24 24 112 47.5961538461538 0 0 930.769230769231 1.00941458333981
+12 0 1 0 0 24 24 116 47.5961538461538 0 0 973.076923076923 1.0090429893602
+12 0 1 0 0 24 24 120 47.5961538461538 0 0 1015.38461538462 1.00869480681715
+12 0 1 0 0 24 24 124 47.5961538461538 0 0 1057.69230769231 1.00836853096447
+12 0 1 0 0 24 24 128 47.5961538461538 0 0 1100 1.00806276094125
+12 0 1 0 0 24 24 132 47.5961538461538 0 0 1142.30769230769 1.00777602517348
+12 0 1 0 0 24 24 136 47.5961538461538 0 0 1184.61538461538 1.00750704916196
+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 1.00725443572851
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 24 18 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.02040184960786
+12 0 2 0 0 24 24 20 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.02047788890037
+12 0 2 0 0 24 24 22 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.02052378332661
+12 0 2 0 0 24 24 24 47.5961538461538 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053891298279
+12 0 2 0 0 24 24 26 47.5961538461538 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.02052378332661
+12 0 2 0 0 24 24 28 47.5961538461538 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.02047788890037
+12 0 2 0 0 24 24 30 47.5961538461538 7.105427357601e-15 7.105427357601e-15 63.4615384615385 1.02040184960786
+12 0 2 0 0 24 24 32 47.5961538461538 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.02029634613468
+12 0 2 0 0 24 24 34 47.5961538461538 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.02016262124118
+12 0 2 0 0 24 24 36 47.5961538461538 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.02000197773301
+12 0 2 0 0 24 24 38 47.5961538461538 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.01981573222472
+12 0 2 0 0 24 24 40 47.5961538461538 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.01960600101236
+12 0 2 0 0 24 24 42 47.5961538461538 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.01937493964522
+12 0 2 0 0 24 24 44 47.5961538461538 7.105427357601e-15 7.105427357601e-15 211.538461538462 1.01912390037437
+12 0 2 0 0 24 24 46 47.5961538461538 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.01885482566129
+12 0 2 0 0 24 24 48 47.5961538461538 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.01857104486682
+12 0 2 0 0 24 24 50 47.5961538461538 7.105427357601e-15 7.105427357601e-15 275 1.01827299192643
+12 0 2 0 0 24 24 52 47.5961538461538 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.0179644321483
+12 0 2 0 0 24 24 54 47.5961538461538 7.105427357601e-15 7.105427357601e-15 317.307692307692 1.01764569268705
+12 0 2 0 0 24 24 56 47.5961538461538 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.01732036928992
+12 0 2 0 0 24 24 58 47.5961538461538 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.01698904364203
+12 0 2 0 0 24 24 60 47.5961538461538 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.01665369642493
+12 0 2 0 0 24 24 62 47.5961538461538 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.01631660022392
+12 0 2 0 0 24 24 64 47.5961538461538 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.01597861378713
+12 0 2 0 0 24 24 66 47.5961538461538 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.0156408970687
+12 0 2 0 0 24 24 68 47.5961538461538 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.01530470467412
+12 0 2 0 0 24 24 70 47.5961538461538 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.01497145714571
+12 0 2 0 0 24 24 72 47.5961538461538 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.01464180688901
+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.01431670478138
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 1.01399666955128
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.01368241866751
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.01337430243228
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.01307286628745
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 24 24 0 63.4615384615385 0 0 -253.846153846154 1.01857105792774
+16 0 0 0 0 24 24 8 63.4615384615385 0 0 -169.230769230769 1.01960597899316
+16 0 0 0 0 24 24 16 63.4615384615385 0 0 -84.6153846153846 1.02029640171102
+16 0 0 0 0 24 24 24 63.4615384615385 0 0 0 1.02053889000137
+16 0 0 0 0 24 24 32 63.4615384615385 0 0 84.6153846153846 1.02029640171102
+16 0 0 0 0 24 24 40 63.4615384615385 0 0 169.230769230769 1.01960597899316
+16 0 0 0 0 24 24 48 63.4615384615385 0 0 253.846153846154 1.01857105792774
+16 0 0 0 0 24 24 56 63.4615384615385 0 0 338.461538461539 1.01732030017879
+16 0 0 0 0 24 24 64 63.4615384615385 0 0 423.076923076923 1.01597855406965
+16 0 0 0 0 24 24 72 63.4615384615385 0 0 507.692307692308 1.01464179677912
+16 0 0 0 0 24 24 80 63.4615384615385 0 0 592.307692307692 1.01337428986954
+16 0 0 0 0 24 24 88 63.4615384615385 0 0 676.923076923077 1.01221034969472
+16 0 0 0 0 24 24 96 63.4615384615385 0 0 761.538461538462 1.01116343229658
+16 0 0 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 1.01023394581759
+16 0 0 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 1.00941455832375
+16 0 0 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 1.00869478655579
+16 0 0 0 0 24 24 128 63.4615384615385 0 0 1100 1.00806274376111
+16 0 0 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 1.00750703596232
+16 0 0 0 0 24 24 144 63.4615384615385 0 0 1269.23076923077 1.00701708391597
+16 0 0 0 0 24 24 152 63.4615384615385 0 0 1353.84615384615 1.00658357155718
+16 0 0 0 0 24 24 160 63.4615384615385 0 0 1438.46153846154 1.0061983990806
+16 0 0 0 0 24 24 168 63.4615384615385 0 0 1523.07692307692 1.00585463189339
+16 0 0 0 0 24 24 176 63.4615384615385 0 0 1607.69230769231 1.00554638727855
+16 0 0 0 0 24 24 184 63.4615384615385 0 0 1692.30769230769 1.00526869842079
+16 0 0 0 0 24 24 192 63.4615384615385 0 0 1776.92307692308 1.00501738135897
+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 1.00478891696678
+16 0 0 0 0 24 24 208 63.4615384615385 0 0 1946.15384615385 1.00458034726748
+16 0 0 0 0 24 24 216 63.4615384615385 0 0 2030.76923076923 1.00438918660171
+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 1.00421334890918
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 1.00405093873823
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 1.0200019513152
+16 0 1 0 0 24 24 16 63.4615384615385 0 0 -84.6153846153846 1.02029640171102
+16 0 1 0 0 24 24 20 63.4615384615385 0 0 -42.3076923076923 1.02047786354981
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+16 0 1 0 0 24 24 28 63.4615384615385 0 0 42.3076923076923 1.02047786354981
+16 0 1 0 0 24 24 32 63.4615384615385 0 0 84.6153846153846 1.02029640171102
+16 0 1 0 0 24 24 36 63.4615384615385 0 0 126.923076923077 1.0200019513152
+16 0 1 0 0 24 24 40 63.4615384615385 0 0 169.230769230769 1.01960597899316
+16 0 1 0 0 24 24 44 63.4615384615385 0 0 211.538461538462 1.01912386367307
+16 0 1 0 0 24 24 48 63.4615384615385 0 0 253.846153846154 1.01857105792774
+16 0 1 0 0 24 24 52 63.4615384615385 0 0 296.153846153846 1.01796440754988
+16 0 1 0 0 24 24 56 63.4615384615385 0 0 338.461538461538 1.01732030017879
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+16 0 1 0 0 24 24 68 63.4615384615385 0 0 465.384615384615 1.01530468123379
+16 0 1 0 0 24 24 72 63.4615384615385 0 0 507.692307692308 1.01464179677912
+16 0 1 0 0 24 24 76 63.4615384615385 0 0 550 1.01399666550813
+16 0 1 0 0 24 24 80 63.4615384615385 0 0 592.307692307692 1.01337428986954
+16 0 1 0 0 24 24 84 63.4615384615385 0 0 634.615384615385 1.01277822049496
+16 0 1 0 0 24 24 88 63.4615384615385 0 0 676.923076923077 1.01221034969472
+16 0 1 0 0 24 24 92 63.4615384615385 0 0 719.230769230769 1.01167197192599
+16 0 1 0 0 24 24 96 63.4615384615385 0 0 761.538461538462 1.01116343229658
+16 0 1 0 0 24 24 100 63.4615384615385 0 0 803.846153846154 1.01068440939151
+16 0 1 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 1.01023394581759
+16 0 1 0 0 24 24 108 63.4615384615385 0 0 888.461538461538 1.00981114644638
+16 0 1 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 1.00941455832375
+16 0 1 0 0 24 24 116 63.4615384615385 0 0 973.076923076923 1.00904296479102
+16 0 1 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 1.00869478655579
+16 0 1 0 0 24 24 124 63.4615384615385 0 0 1057.69230769231 1.00836851229195
+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 1.00806274376111
+16 0 1 0 0 24 24 132 63.4615384615385 0 0 1142.30769230769 1.00777601008457
+16 0 1 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 1.00750703596232
+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 1.00725442340678
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 24 18 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.02040181514646
+16 0 2 0 0 24 24 20 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.02047786354981
+16 0 2 0 0 24 24 22 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.02052368255759
+16 0 2 0 0 24 24 24 63.4615384615385 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053889000137
+16 0 2 0 0 24 24 26 63.4615384615385 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.02052368255759
+16 0 2 0 0 24 24 28 63.4615384615385 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.02047786354981
+16 0 2 0 0 24 24 30 63.4615384615385 7.105427357601e-15 7.105427357601e-15 63.4615384615385 1.02040181514646
+16 0 2 0 0 24 24 32 63.4615384615385 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.02029640171102
+16 0 2 0 0 24 24 34 63.4615384615385 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.0201626719904
+16 0 2 0 0 24 24 36 63.4615384615385 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.0200019513152
+16 0 2 0 0 24 24 38 63.4615384615385 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.01981572118745
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+16 0 2 0 0 24 24 50 63.4615384615385 7.105427357601e-15 7.105427357601e-15 275 1.01827297413615
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+16 0 2 0 0 24 24 54 63.4615384615385 7.105427357601e-15 7.105427357601e-15 317.307692307692 1.01764575476178
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+16 0 2 0 0 24 24 70 63.4615384615385 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.01497144225777
+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.01464179677912
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+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 1.01399666550813
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.0136824111553
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.01337428986954
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.01307284857445
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 24 116 79.3269230769231 0 0 973.076923076923 1.00904293592736
+20 0 1 0 0 24 24 120 79.3269230769231 0 0 1015.38461538462 1.00869476116011
+20 0 1 0 0 24 24 124 79.3269230769231 0 0 1057.69230769231 1.00836848927579
+20 0 1 0 0 24 24 128 79.3269230769231 0 0 1100 1.00806272312567
+20 0 1 0 0 24 24 132 79.3269230769231 0 0 1142.30769230769 1.00777599153653
+20 0 1 0 0 24 24 136 79.3269230769231 0 0 1184.61538461538 1.00750701921245
+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 1.00725440801007
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 24 24 18 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.02040178490565
+20 0 2 0 0 24 24 20 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.02047782155675
+20 0 2 0 0 24 24 22 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.02052371815238
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+20 0 2 0 0 24 24 26 79.3269230769231 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.02052371815238
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+20 0 2 0 0 24 24 50 79.3269230769231 7.105427357601e-15 7.105427357601e-15 275 1.01827288490253
+20 0 2 0 0 24 24 52 79.3269230769231 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.01796450178795
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+20 0 2 0 0 24 24 60 79.3269230769231 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.0166537293785
+20 0 2 0 0 24 24 62 79.3269230769231 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.01631651614013
+20 0 2 0 0 24 24 64 79.3269230769231 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.01597851468004
+20 0 2 0 0 24 24 66 79.3269230769231 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.01564082734364
+20 0 2 0 0 24 24 68 79.3269230769231 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.01530468218207
+20 0 2 0 0 24 24 70 79.3269230769231 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.01497144398599
+20 0 2 0 0 24 24 72 79.3269230769231 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.01464179541776
+20 0 2 0 0 24 24 74 79.3269230769231 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.01431670210727
+20 0 2 0 0 24 24 76 79.3269230769231 7.105427357601e-15 7.105427357601e-15 550 1.01399667347516
+20 0 2 0 0 24 24 78 79.3269230769231 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.0136824220043
+20 0 2 0 0 24 24 80 79.3269230769231 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.0133742998084
+20 0 2 0 0 24 24 82 79.3269230769231 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.01307284799428
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 3 0 0 24 24 21 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -31.7307692307692 1.02050457312444
+20 0 3 0 0 24 24 22 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.02052371815238
+20 0 3 0 0 24 24 23 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -10.5769230769231 1.02053510997298
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+20 0 3 0 0 24 24 36 79.3269230769231 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.02000191294576
+20 0 3 0 0 24 24 37 79.3269230769231 7.105427357601e-15 7.105427357601e-15 137.5 1.01991191703393
+20 0 3 0 0 24 24 38 79.3269230769231 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.01981579085945
+20 0 3 0 0 24 24 39 79.3269230769231 7.105427357601e-15 7.105427357601e-15 158.653846153846 1.0197136991549
+20 0 3 0 0 24 24 40 79.3269230769231 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.0196059797579
+20 0 3 0 0 24 24 41 79.3269230769231 7.105427357601e-15 7.105427357601e-15 179.807692307692 1.01949302723898
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+20 0 3 0 0 24 24 45 79.3269230769231 7.105427357601e-15 7.105427357601e-15 222.115384615385 1.01899138244461
+20 0 3 0 0 24 24 46 79.3269230769231 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.01885479177025
+20 0 3 0 0 24 24 47 79.3269230769231 7.105427357601e-15 7.105427357601e-15 243.269230769231 1.01871478230409
+20 0 3 0 0 24 24 48 79.3269230769231 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.01857113003738
+20 0 3 0 0 24 24 49 79.3269230769231 7.105427357601e-15 7.105427357601e-15 264.423076923077 1.01842355244542
+20 0 3 0 0 24 24 50 79.3269230769231 7.105427357601e-15 7.105427357601e-15 275 1.01827288490253
+20 0 3 0 0 24 24 51 79.3269230769231 7.105427357601e-15 7.105427357601e-15 285.576923076923 1.0181199778383
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+20 0 3 0 0 24 24 53 79.3269230769231 7.105427357601e-15 7.105427357601e-15 306.730769230769 1.01780616633054
+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 0 0 0 24 24 192 95.1923076923077 0 0 1776.92307692308 1.0050173716429
+24 0 0 0 0 24 24 200 95.1923076923077 0 0 1861.53846153846 1.00478890904569
+24 0 0 0 0 24 24 208 95.1923076923077 0 0 1946.15384615385 1.00458034085835
+24 0 0 0 0 24 24 216 95.1923076923077 0 0 2030.76923076923 1.00438918131353
+24 0 0 0 0 24 24 224 95.1923076923077 0 0 2115.38461538462 1.00421335422075
+24 0 0 0 0 24 24 232 95.1923076923077 0 0 2200 1.0040509369847
+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 1 0 0 24 24 12 95.1923076923077 0 0 -126.923076923077 1.02000198888293
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 24 32 111.057692307692 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.02029643164948
+28 0 3 0 0 24 24 33 111.057692307692 7.105427357601e-15 7.105427357601e-15 95.1923076923077 1.02023301166695
+28 0 3 0 0 24 24 34 111.057692307692 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.02016272114307
+28 0 3 0 0 24 24 35 111.057692307692 7.105427357601e-15 7.105427357601e-15 116.346153846154 1.02008567117366
+28 0 3 0 0 24 24 36 111.057692307692 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.02000203270387
+28 0 3 0 0 24 24 37 111.057692307692 7.105427357601e-15 7.105427357601e-15 137.5 1.01991197514733
+28 0 3 0 0 24 24 38 111.057692307692 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.01981578644975
+28 0 3 0 0 24 24 39 111.057692307692 7.105427357601e-15 7.105427357601e-15 158.653846153846 1.01971371131199
+28 0 3 0 0 24 24 40 111.057692307692 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.0196060428688
+28 0 3 0 0 24 24 41 111.057692307692 7.105427357601e-15 7.105427357601e-15 179.807692307692 1.01949310735188
+28 0 3 0 0 24 24 42 111.057692307692 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.01937499643297
+28 0 3 0 0 24 24 43 111.057692307692 7.105427357601e-15 7.105427357601e-15 200.961538461539 1.01925182794061
+28 0 3 0 0 24 24 44 111.057692307692 7.105427357601e-15 7.105427357601e-15 211.538461538462 1.01912391873224
+28 0 3 0 0 24 24 45 111.057692307692 7.105427357601e-15 7.105427357601e-15 222.115384615385 1.01899141421422
+28 0 3 0 0 24 24 46 111.057692307692 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.01885482325073
+28 0 3 0 0 24 24 47 111.057692307692 7.105427357601e-15 7.105427357601e-15 243.269230769231 1.01871474768033
+28 0 3 0 0 24 24 48 111.057692307692 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.01857105296491
+28 0 3 0 0 24 24 49 111.057692307692 7.105427357601e-15 7.105427357601e-15 264.423076923077 1.01842357832532
+28 0 3 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 1.01827300439408
+28 0 3 0 0 24 24 51 111.057692307692 7.105427357601e-15 7.105427357601e-15 285.576923076923 1.01812001578057
+28 0 3 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.01796443830222
+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 1.01780610441034
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gyy_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gyy_maximum.xg
new file mode 100644
index 000000000..63292c888
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gyy_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gyy
+"gyy v time
+0.0000000000000e+00 1.0205389671703e+00
+7.9326923076923e+00 1.0205389449137e+00
+1.5865384615385e+01 1.0205388965674e+00
+2.3798076923077e+01 1.0205389080900e+00
+3.1730769230769e+01 1.0205389453013e+00
+3.9663461538462e+01 1.0205389329430e+00
+4.7596153846154e+01 1.0205389129828e+00
+5.5528846153846e+01 1.0205389056386e+00
+6.3461538461538e+01 1.0205388900014e+00
+7.1394230769231e+01 1.0205388712775e+00
+7.5360576923077e+01 1.0205388671812e+00
+7.9326923076923e+01 1.0205388697219e+00
+8.3293269230769e+01 1.0205388767676e+00
+8.7259615384615e+01 1.0205388849485e+00
+9.1225961538462e+01 1.0205388918870e+00
+9.5192307692308e+01 1.0205388975212e+00
+9.9158653846154e+01 1.0205389038085e+00
+1.0312500000000e+02 1.0205389133695e+00
+1.0709134615385e+02 1.0205389280522e+00
+1.1105769230769e+02 1.0205389480634e+00
+1.1502403846154e+02 1.0205389718810e+00
+1.1899038461538e+02 1.0205389968828e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gyy_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gyy_minimum.xg
new file mode 100644
index 000000000..3f167742d
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gyy_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gyy
+"gyy v time
+0.0000000000000e+00 1.0023373754491e+00
+7.9326923076923e+00 1.0092196270917e+00
+1.5865384615385e+01 1.0046788462189e+00
+2.3798076923077e+01 1.0092196316861e+00
+3.1730769230769e+01 1.0023373736405e+00
+3.9663461538462e+01 1.0092196361659e+00
+4.7596153846154e+01 1.0046788481857e+00
+5.5528846153846e+01 1.0092196424983e+00
+6.3461538461538e+01 1.0023373733963e+00
+7.1394230769231e+01 1.0092196511987e+00
+7.5360576923077e+01 1.0151321478002e+00
+7.9326923076923e+01 1.0046788521181e+00
+8.3293269230769e+01 1.0151321492232e+00
+8.7259615384615e+01 1.0092196617884e+00
+9.1225961538462e+01 1.0151321613643e+00
+9.5192307692308e+01 1.0023373736484e+00
+9.9158653846154e+01 1.0151321764951e+00
+1.0312500000000e+02 1.0092196761273e+00
+1.0709134615385e+02 1.0151321877364e+00
+1.1105769230769e+02 1.0046788580204e+00
+1.1502403846154e+02 1.0151321930833e+00
+1.1899038461538e+02 1.0092196933773e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gyy_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gyy_norm1.xg
new file mode 100644
index 000000000..756dfc084
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gyy_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gyy
+"gyy v time
+0.0000000000000e+00 1.0052425721081e+00
+7.9326923076923e+00 1.0148248546595e+00
+1.5865384615385e+01 1.0095143042778e+00
+2.3798076923077e+01 1.0148248558425e+00
+3.1730769230769e+01 1.0052425702610e+00
+3.9663461538462e+01 1.0148248581553e+00
+4.7596153846154e+01 1.0095143059152e+00
+5.5528846153846e+01 1.0148248617679e+00
+6.3461538461538e+01 1.0052425697889e+00
+7.1394230769231e+01 1.0148248666488e+00
+7.5360576923077e+01 1.0185084712336e+00
+7.9326923076923e+01 1.0095143095967e+00
+8.3293269230769e+01 1.0185084737329e+00
+8.7259615384615e+01 1.0148248737402e+00
+9.1225961538462e+01 1.0185084786327e+00
+9.5192307692308e+01 1.0052425698579e+00
+9.9158653846154e+01 1.0185084859682e+00
+1.0312500000000e+02 1.0148248837592e+00
+1.0709134615385e+02 1.0185084957411e+00
+1.1105769230769e+02 1.0095143165096e+00
+1.1502403846154e+02 1.0185085079217e+00
+1.1899038461538e+02 1.0148248967667e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gyy_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gyy_norm2.xg
new file mode 100644
index 000000000..909ed0e8c
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gyy_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gyy
+"gyy v time
+0.0000000000000e+00 1.0052464489624e+00
+7.9326923076923e+00 1.0148278034361e+00
+1.5865384615385e+01 1.0095195647975e+00
+2.3798076923077e+01 1.0148278046163e+00
+3.1730769230769e+01 1.0052464471196e+00
+3.9663461538462e+01 1.0148278069236e+00
+4.7596153846154e+01 1.0095195664338e+00
+5.5528846153846e+01 1.0148278105281e+00
+6.3461538461538e+01 1.0052464466502e+00
+7.1394230769231e+01 1.0148278153990e+00
+7.5360576923077e+01 1.0185090306616e+00
+7.9326923076923e+01 1.0095195701141e+00
+8.3293269230769e+01 1.0185090331600e+00
+8.7259615384615e+01 1.0148278224834e+00
+9.1225961538462e+01 1.0185090380609e+00
+9.5192307692308e+01 1.0052464467228e+00
+9.9158653846154e+01 1.0185090453995e+00
+1.0312500000000e+02 1.0148278325017e+00
+1.0709134615385e+02 1.0185090551775e+00
+1.1105769230769e+02 1.0095195770374e+00
+1.1502403846154e+02 1.0185090673650e+00
+1.1899038461538e+02 1.0148278455151e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gyz.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/gyz.x.asc
new file mode 100644
index 000000000..0ecc38d1a
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gyz.x.asc
@@ -0,0 +1,864 @@
+# ADMBASE::gyz x (gyz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 0
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 0
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 0
+0 0 0 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 0 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 0 0 0 96 24 24 0 761.538461538462 0 0 0
+0 0 0 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 0 0 0 128 24 24 0 1100 0 0 0
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 0
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 0
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 0
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 0
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 0
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 0
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 0
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 0
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 0
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 0
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 0
+0 0 0 0 0 232 24 24 0 2200 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 0
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 0
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 0
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 0
+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 1 0 0 52 24 24 0 296.153846153846 0 0 0
+0 0 1 0 0 56 24 24 0 338.461538461538 0 0 0
+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 0
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 0
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 1 0 0 76 24 24 0 550 0 0 0
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 1 0 0 84 24 24 0 634.615384615385 0 0 0
+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 1 0 0 92 24 24 0 719.230769230769 0 0 0
+0 0 1 0 0 96 24 24 0 761.538461538462 0 0 0
+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 0
+0 0 1 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 0
+0 0 1 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 0
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 0
+0 0 1 0 0 128 24 24 0 1100 0 0 0
+0 0 1 0 0 132 24 24 0 1142.30769230769 0 0 0
+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 20 24 24 0 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 22 24 24 0 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 26 24 24 0 21.1538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 28 24 24 0 42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 30 24 24 0 63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 32 24 24 0 84.6153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 34 24 24 0 105.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 36 24 24 0 126.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 38 24 24 0 148.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 40 24 24 0 169.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 42 24 24 0 190.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 44 24 24 0 211.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 46 24 24 0 232.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 48 24 24 0 253.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 50 24 24 0 275 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 52 24 24 0 296.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 54 24 24 0 317.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 56 24 24 0 338.461538461538 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 58 24 24 0 359.615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 60 24 24 0 380.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 62 24 24 0 401.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 64 24 24 0 423.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 66 24 24 0 444.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 68 24 24 0 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 70 24 24 0 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 72 24 24 0 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 74 24 24 0 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 76 24 24 0 550 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 78 24 24 0 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 80 24 24 0 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 12 24 24 15.8653846153846 -126.923076923077 0 0 -1.4416033942059e-19
+4 0 1 0 0 16 24 24 15.8653846153846 -84.6153846153846 0 0 5.44978075531935e-21
+4 0 1 0 0 20 24 24 15.8653846153846 -42.3076923076923 0 0 -7.02116245920749e-19
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 1.29242549357373e-19
+4 0 1 0 0 28 24 24 15.8653846153846 42.3076923076923 0 0 -7.02116245920749e-19
+4 0 1 0 0 32 24 24 15.8653846153846 84.6153846153846 0 0 5.44978075531935e-21
+4 0 1 0 0 36 24 24 15.8653846153846 126.923076923077 0 0 -1.4416033942059e-19
+4 0 1 0 0 40 24 24 15.8653846153846 169.230769230769 0 0 -8.78727077905305e-20
+4 0 1 0 0 44 24 24 15.8653846153846 211.538461538462 0 0 -1.25034364209539e-18
+4 0 1 0 0 48 24 24 15.8653846153846 253.846153846154 0 0 1.030164560071e-18
+4 0 1 0 0 52 24 24 15.8653846153846 296.153846153846 0 0 -8.39645448961533e-21
+4 0 1 0 0 56 24 24 15.8653846153846 338.461538461538 0 0 -9.92844758560968e-42
+4 0 1 0 0 60 24 24 15.8653846153846 380.769230769231 0 0 6.34047593143822e-39
+4 0 1 0 0 64 24 24 15.8653846153846 423.076923076923 0 0 -4.87021649792943e-20
+4 0 1 0 0 68 24 24 15.8653846153846 465.384615384615 0 0 0
+4 0 1 0 0 72 24 24 15.8653846153846 507.692307692308 0 0 0
+4 0 1 0 0 76 24 24 15.8653846153846 550 0 0 0
+4 0 1 0 0 80 24 24 15.8653846153846 592.307692307692 0 0 0
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 0
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 72 24 24 47.5961538461538 507.692307692308 7.105427357601e-15 7.105427357601e-15 -5.05636125740753e-20
+12 0 2 0 0 74 24 24 47.5961538461538 528.846153846154 7.105427357601e-15 7.105427357601e-15 -9.1296126246507e-21
+12 0 2 0 0 76 24 24 47.5961538461538 550 7.105427357601e-15 7.105427357601e-15 -1.57257620866317e-21
+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 2.27293768480246e-21
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+12 0 2 0 0 82 24 24 47.5961538461538 613.461538461538 7.105427357601e-15 7.105427357601e-15 9.81964696973581e-23
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 224 24 24 63.4615384615385 2115.38461538462 0 0 0
+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 124 24 24 63.4615384615385 1057.69230769231 0 0 7.89948688882327e-21
+16 0 1 0 0 128 24 24 63.4615384615385 1100 0 0 0
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+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 0
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 68 24 24 63.4615384615385 465.384615384615 7.105427357601e-15 7.105427357601e-15 -1.55747634245125e-19
+16 0 2 0 0 70 24 24 63.4615384615385 486.538461538462 7.105427357601e-15 7.105427357601e-15 -1.32167540871387e-19
+16 0 2 0 0 72 24 24 63.4615384615385 507.692307692308 7.105427357601e-15 7.105427357601e-15 -8.3839577250375e-20
+16 0 2 0 0 74 24 24 63.4615384615385 528.846153846154 7.105427357601e-15 7.105427357601e-15 -4.23635641567156e-20
+16 0 2 0 0 76 24 24 63.4615384615385 550 7.105427357601e-15 7.105427357601e-15 -8.81698793859987e-21
+16 0 2 0 0 78 24 24 63.4615384615385 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.2012709367545e-22
+16 0 2 0 0 80 24 24 63.4615384615385 592.307692307692 7.105427357601e-15 7.105427357601e-15 -2.79004729280857e-22
+16 0 2 0 0 82 24 24 63.4615384615385 613.461538461538 7.105427357601e-15 7.105427357601e-15 3.93102414675203e-22
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 12 24 24 79.3269230769231 -126.923076923077 0 0 -2.23597541272704e-18
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+20 0 1 0 0 108 24 24 79.3269230769231 888.461538461538 0 0 -1.75448075898673e-19
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+20 0 1 0 0 116 24 24 79.3269230769231 973.076923076923 0 0 -9.62241086557989e-20
+20 0 1 0 0 120 24 24 79.3269230769231 1015.38461538462 0 0 -7.26024573437793e-21
+20 0 1 0 0 124 24 24 79.3269230769231 1057.69230769231 0 0 7.0792412047038e-21
+20 0 1 0 0 128 24 24 79.3269230769231 1100 0 0 -6.45361836815201e-23
+20 0 1 0 0 132 24 24 79.3269230769231 1142.30769230769 0 0 4.17060767962557e-22
+20 0 1 0 0 136 24 24 79.3269230769231 1184.61538461538 0 0 -1.80287891761664e-61
+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 4.03027720250482e-24
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
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+
+
+# iteration 24
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 47 24 24 95.1923076923077 243.269230769231 7.105427357601e-15 7.105427357601e-15 4.19007214734309e-19
+24 0 3 0 0 48 24 24 95.1923076923077 253.846153846154 7.105427357601e-15 7.105427357601e-15 3.95000909334445e-19
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+24 0 3 0 0 50 24 24 95.1923076923077 275 7.105427357601e-15 7.105427357601e-15 5.75100688775706e-19
+24 0 3 0 0 51 24 24 95.1923076923077 285.576923076923 7.105427357601e-15 7.105427357601e-15 3.41403893372348e-19
+24 0 3 0 0 52 24 24 95.1923076923077 296.153846153846 7.105427357601e-15 7.105427357601e-15 6.75178028920405e-20
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 16 24 24 111.057692307692 -84.6153846153846 0 0 3.42155182698786e-18
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+28 0 1 0 0 112 24 24 111.057692307692 930.769230769231 0 0 -1.66583637929348e-19
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+28 0 1 0 0 120 24 24 111.057692307692 1015.38461538462 0 0 -3.33605639377953e-20
+28 0 1 0 0 124 24 24 111.057692307692 1057.69230769231 0 0 -9.11203377079041e-21
+28 0 1 0 0 128 24 24 111.057692307692 1100 0 0 -1.34096892920697e-21
+28 0 1 0 0 132 24 24 111.057692307692 1142.30769230769 0 0 1.3196155135885e-21
+28 0 1 0 0 136 24 24 111.057692307692 1184.61538461538 0 0 -1.677797078882e-23
+28 0 1 0 0 140 24 24 111.057692307692 1226.92307692308 0 0 7.43081131331927e-23
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 18 24 24 111.057692307692 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -3.61982729694169e-18
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 5.88468552751387e-21
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 1.87129881948884e-19
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 2.86272493785315e-19
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 2.05911009991694e-19
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gyz.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/gyz.y.asc
new file mode 100644
index 000000000..300efedb1
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gyz.y.asc
@@ -0,0 +1,864 @@
+# ADMBASE::gyz y (gyz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 0
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 0
+0 0 0 0 0 24 16 24 0 0 -84.6153846153846 0 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 24 32 24 0 0 84.6153846153846 0 0
+0 0 0 0 0 24 40 24 0 0 169.230769230769 0 0
+0 0 0 0 0 24 48 24 0 0 253.846153846154 0 0
+0 0 0 0 0 24 56 24 0 0 338.461538461539 0 0
+0 0 0 0 0 24 64 24 0 0 423.076923076923 0 0
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+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 -7.10417083538053e-23
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 232 24 63.4615384615385 0 2200 0 2.27428801998172e-38
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 140 24 79.3269230769231 0 1226.92307692308 0 -4.3562393996789e-19
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 82 24 111.057692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 -8.84648434087387e-16
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 39 24 111.057692307692 7.105427357601e-15 158.653846153846 7.105427357601e-15 -8.0275641248609e-18
+28 0 3 0 0 24 40 24 111.057692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 -1.04590192911602e-17
+28 0 3 0 0 24 41 24 111.057692307692 7.105427357601e-15 179.807692307692 7.105427357601e-15 -3.35013084432951e-18
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+28 0 3 0 0 24 49 24 111.057692307692 7.105427357601e-15 264.423076923077 7.105427357601e-15 -1.92168992786614e-16
+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 -5.01934656063631e-16
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 -1.37250578230811e-15
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 -2.08958399057074e-15
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 -3.52330302633468e-15
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gyz.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/gyz.z.asc
new file mode 100644
index 000000000..d08043fa6
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gyz.z.asc
@@ -0,0 +1,864 @@
+# ADMBASE::gyz z (gyz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 0
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 0
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 0
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+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 0
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+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 0
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 0
+0 0 0 0 0 24 24 232 0 0 0 2200 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 0
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
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+0 0 1 0 0 24 24 32 0 0 0 84.6153846153846 0
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+0 0 1 0 0 24 24 76 0 0 0 550 0
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+0 0 1 0 0 24 24 108 0 0 0 888.461538461538 0
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+0 0 1 0 0 24 24 116 0 0 0 973.076923076923 0
+0 0 1 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 1 0 0 24 24 124 0 0 0 1057.69230769231 0
+0 0 1 0 0 24 24 128 0 0 0 1100 0
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+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
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+0 0 2 0 0 24 24 32 0 7.105427357601e-15 7.105427357601e-15 84.6153846153846 0
+0 0 2 0 0 24 24 34 0 7.105427357601e-15 7.105427357601e-15 105.769230769231 0
+0 0 2 0 0 24 24 36 0 7.105427357601e-15 7.105427357601e-15 126.923076923077 0
+0 0 2 0 0 24 24 38 0 7.105427357601e-15 7.105427357601e-15 148.076923076923 0
+0 0 2 0 0 24 24 40 0 7.105427357601e-15 7.105427357601e-15 169.230769230769 0
+0 0 2 0 0 24 24 42 0 7.105427357601e-15 7.105427357601e-15 190.384615384615 0
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+0 0 2 0 0 24 24 52 0 7.105427357601e-15 7.105427357601e-15 296.153846153846 0
+0 0 2 0 0 24 24 54 0 7.105427357601e-15 7.105427357601e-15 317.307692307692 0
+0 0 2 0 0 24 24 56 0 7.105427357601e-15 7.105427357601e-15 338.461538461538 0
+0 0 2 0 0 24 24 58 0 7.105427357601e-15 7.105427357601e-15 359.615384615385 0
+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 0
+0 0 2 0 0 24 24 62 0 7.105427357601e-15 7.105427357601e-15 401.923076923077 0
+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 0
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 0
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 0
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 0
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 0
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 0
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 -1.02905431074707e-18
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 -1.99423648124791e-17
+4 0 1 0 0 24 24 20 15.8653846153846 0 0 -42.3076923076923 2.70287748334393e-17
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 1.29242549357373e-19
+4 0 1 0 0 24 24 28 15.8653846153846 0 0 42.3076923076923 -2.70287748334393e-17
+4 0 1 0 0 24 24 32 15.8653846153846 0 0 84.6153846153846 1.99423648124791e-17
+4 0 1 0 0 24 24 36 15.8653846153846 0 0 126.923076923077 1.02905431074707e-18
+4 0 1 0 0 24 24 40 15.8653846153846 0 0 169.230769230769 -1.33399884485473e-17
+4 0 1 0 0 24 24 44 15.8653846153846 0 0 211.538461538462 1.19809317394263e-17
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+4 0 1 0 0 24 24 52 15.8653846153846 0 0 296.153846153846 7.90713405809306e-18
+4 0 1 0 0 24 24 56 15.8653846153846 0 0 338.461538461538 2.10898792616757e-18
+4 0 1 0 0 24 24 60 15.8653846153846 0 0 380.769230769231 -1.76530718411651e-18
+4 0 1 0 0 24 24 64 15.8653846153846 0 0 423.076923076923 -3.11036032691636e-13
+4 0 1 0 0 24 24 68 15.8653846153846 0 0 465.384615384615 0
+4 0 1 0 0 24 24 72 15.8653846153846 0 0 507.692307692308 0
+4 0 1 0 0 24 24 76 15.8653846153846 0 0 550 0
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+4 0 1 0 0 24 24 96 15.8653846153846 0 0 761.538461538462 0
+4 0 1 0 0 24 24 100 15.8653846153846 0 0 803.846153846154 0
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+4 0 1 0 0 24 24 108 15.8653846153846 0 0 888.461538461538 -2.46589884642289e-14
+4 0 1 0 0 24 24 112 15.8653846153846 0 0 930.769230769231 0
+4 0 1 0 0 24 24 116 15.8653846153846 0 0 973.076923076923 2.74018574244881e-15
+4 0 1 0 0 24 24 120 15.8653846153846 0 0 1015.38461538462 0
+4 0 1 0 0 24 24 124 15.8653846153846 0 0 1057.69230769231 0
+4 0 1 0 0 24 24 128 15.8653846153846 0 0 1100 0
+4 0 1 0 0 24 24 132 15.8653846153846 0 0 1142.30769230769 0
+4 0 1 0 0 24 24 136 15.8653846153846 0 0 1184.61538461538 0
+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 24 18 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.11310302606264e-17
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 -2.2492932563383e-33
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 24 70 47.5961538461538 7.105427357601e-15 7.105427357601e-15 486.538461538462 -9.18055611186448e-14
+12 0 2 0 0 24 24 72 47.5961538461538 7.105427357601e-15 7.105427357601e-15 507.692307692308 -8.50742323023276e-15
+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 5.38883278674233e-15
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 -4.95469196994002e-17
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 5.03349690423004e-16
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 2.69735890435816e-26
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 3.09386126887058e-18
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 24 184 63.4615384615385 0 0 1692.30769230769 1.55174726112244e-30
+16 0 0 0 0 24 24 192 63.4615384615385 0 0 1776.92307692308 6.0263935292989e-35
+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 0
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+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 0
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 -4.2002628676739e-18
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+16 0 1 0 0 24 24 20 63.4615384615385 0 0 -42.3076923076923 1.68309351774325e-17
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+16 0 1 0 0 24 24 36 63.4615384615385 0 0 126.923076923077 4.2002628676739e-18
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+16 0 1 0 0 24 24 96 63.4615384615385 0 0 761.538461538462 3.40454758874266e-15
+16 0 1 0 0 24 24 100 63.4615384615385 0 0 803.846153846154 5.45905459996024e-14
+16 0 1 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 2.21832350146195e-13
+16 0 1 0 0 24 24 108 63.4615384615385 0 0 888.461538461538 1.36105066239281e-13
+16 0 1 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 2.05947367705617e-14
+16 0 1 0 0 24 24 116 63.4615384615385 0 0 973.076923076923 -2.26790302698803e-15
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+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 0
+16 0 1 0 0 24 24 132 63.4615384615385 0 0 1142.30769230769 1.03192705286157e-22
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+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 -5.99811527323081e-33
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 24 18 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 2.50921278682495e-18
+16 0 2 0 0 24 24 20 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.68309351774325e-17
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+16 0 2 0 0 24 24 26 63.4615384615385 7.105427357601e-15 7.105427357601e-15 21.1538461538462 3.14944314875117e-18
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+16 0 2 0 0 24 24 60 63.4615384615385 7.105427357601e-15 7.105427357601e-15 380.769230769231 -9.06900661659632e-14
+16 0 2 0 0 24 24 62 63.4615384615385 7.105427357601e-15 7.105427357601e-15 401.923076923077 5.38866728087335e-14
+16 0 2 0 0 24 24 64 63.4615384615385 7.105427357601e-15 7.105427357601e-15 423.076923076923 4.38138982417252e-13
+16 0 2 0 0 24 24 66 63.4615384615385 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.61028188019035e-13
+16 0 2 0 0 24 24 68 63.4615384615385 7.105427357601e-15 7.105427357601e-15 465.384615384615 -1.65450120689281e-13
+16 0 2 0 0 24 24 70 63.4615384615385 7.105427357601e-15 7.105427357601e-15 486.538461538462 -1.39105492121131e-13
+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 -3.34221074380533e-14
+16 0 2 0 0 24 24 74 63.4615384615385 7.105427357601e-15 7.105427357601e-15 528.846153846154 -9.29198386321218e-15
+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 -1.47444644249817e-15
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.24882867913691e-15
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 -1.5921954524608e-17
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 8.31155297416177e-17
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 24 24 12 79.3269230769231 0 0 -126.923076923077 4.21603136909769e-18
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+20 0 1 0 0 24 24 20 79.3269230769231 0 0 -42.3076923076923 1.08226561480631e-17
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+20 0 1 0 0 24 24 100 79.3269230769231 0 0 803.846153846154 7.58083858019341e-14
+20 0 1 0 0 24 24 104 79.3269230769231 0 0 846.153846153846 1.05700278959726e-13
+20 0 1 0 0 24 24 108 79.3269230769231 0 0 888.461538461538 1.10421370607055e-13
+20 0 1 0 0 24 24 112 79.3269230769231 0 0 930.769230769231 3.36888015237441e-14
+20 0 1 0 0 24 24 116 79.3269230769231 0 0 973.076923076923 9.34450266247168e-15
+20 0 1 0 0 24 24 120 79.3269230769231 0 0 1015.38461538462 1.13191031137661e-15
+20 0 1 0 0 24 24 124 79.3269230769231 0 0 1057.69230769231 -1.46295275584816e-15
+20 0 1 0 0 24 24 128 79.3269230769231 0 0 1100 6.96991114532575e-18
+20 0 1 0 0 24 24 132 79.3269230769231 0 0 1142.30769230769 -6.67604969910115e-17
+20 0 1 0 0 24 24 136 79.3269230769231 0 0 1184.61538461538 -5.28959894851188e-30
+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 -4.35270144440656e-19
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 24 24 18 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 9.93743489251412e-18
+20 0 2 0 0 24 24 20 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.08226561480631e-17
+20 0 2 0 0 24 24 22 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 -6.62091790677156e-18
+20 0 2 0 0 24 24 24 79.3269230769231 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 2.16977976147797e-18
+20 0 2 0 0 24 24 26 79.3269230769231 7.105427357601e-15 7.105427357601e-15 21.1538461538462 6.62091790677156e-18
+20 0 2 0 0 24 24 28 79.3269230769231 7.105427357601e-15 7.105427357601e-15 42.3076923076923 -1.08226561480631e-17
+20 0 2 0 0 24 24 30 79.3269230769231 7.105427357601e-15 7.105427357601e-15 63.4615384615385 -9.93743489251412e-18
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 24 24 50 95.1923076923077 7.105427357601e-15 7.105427357601e-15 275 -1.02992392653902e-16
+24 0 3 0 0 24 24 51 95.1923076923077 7.105427357601e-15 7.105427357601e-15 285.576923076923 -3.40962100743517e-16
+24 0 3 0 0 24 24 52 95.1923076923077 7.105427357601e-15 7.105427357601e-15 296.153846153846 -1.10488767594523e-15
+24 0 3 0 0 24 24 53 95.1923076923077 7.105427357601e-15 7.105427357601e-15 306.730769230769 -3.14419376356757e-15
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 24 100 111.057692307692 0 0 803.846153846154 7.99747163740175e-15
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+28 0 1 0 0 24 24 128 111.057692307692 0 0 1100 2.03842986905357e-16
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+28 0 1 0 0 24 24 140 111.057692307692 0 0 1226.92307692308 -1.1467624059934e-17
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 -8.84604876485722e-16
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 -3.52759082261193e-15
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gyz_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gyz_maximum.xg
new file mode 100644
index 000000000..98b2c45f9
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gyz_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gyz
+"gyz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 5.4528526255999e-10
+1.5865384615385e+01 1.1692229948786e-08
+2.3798076923077e+01 3.1981045014776e-08
+3.1730769230769e+01 2.8231317884570e-08
+3.9663461538462e+01 4.9235937100554e-08
+4.7596153846154e+01 4.3107778922257e-08
+5.5528846153846e+01 4.2263551404758e-08
+6.3461538461538e+01 3.2426802017141e-08
+7.1394230769231e+01 3.5603813128388e-08
+7.5360576923077e+01 4.0795514835945e-08
+7.9326923076923e+01 5.0751697863780e-08
+8.3293269230769e+01 9.4075648661243e-08
+8.7259615384615e+01 5.3933121426076e-08
+9.1225961538462e+01 1.2076517593701e-07
+9.5192307692308e+01 3.6184158870793e-08
+9.9158653846154e+01 1.0529661339201e-07
+1.0312500000000e+02 7.0974271280428e-08
+1.0709134615385e+02 9.0685354821672e-08
+1.1105769230769e+02 4.1938509851439e-08
+1.1502403846154e+02 7.6385371309613e-08
+1.1899038461538e+02 4.9301577583169e-08
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gyz_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gyz_minimum.xg
new file mode 100644
index 000000000..98b9e965a
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gyz_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gyz
+"gyz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 -5.4528526255999e-10
+1.5865384615385e+01 -1.1692229948786e-08
+2.3798076923077e+01 -3.1981045014776e-08
+3.1730769230769e+01 -2.8231317884570e-08
+3.9663461538462e+01 -4.9235937100554e-08
+4.7596153846154e+01 -4.3107778922257e-08
+5.5528846153846e+01 -4.2263551404758e-08
+6.3461538461538e+01 -3.2426802017141e-08
+7.1394230769231e+01 -3.5603813128388e-08
+7.5360576923077e+01 -4.4992243258435e-08
+7.9326923076923e+01 -5.0751697863780e-08
+8.3293269230769e+01 -9.4075648661243e-08
+8.7259615384615e+01 -5.3933121426076e-08
+9.1225961538462e+01 -1.2812949142504e-07
+9.5192307692308e+01 -3.6184158870793e-08
+9.9158653846154e+01 -1.0529661339201e-07
+1.0312500000000e+02 -7.0974271280428e-08
+1.0709134615385e+02 -9.0685354821672e-08
+1.1105769230769e+02 -4.1938509851439e-08
+1.1502403846154e+02 -7.6385371309613e-08
+1.1899038461538e+02 -5.0987355830057e-08
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gyz_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gyz_norm1.xg
new file mode 100644
index 000000000..5c7a94e7d
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gyz_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gyz
+"gyz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 1.3637898985825e-11
+1.5865384615385e+01 2.1055156478759e-10
+2.3798076923077e+01 3.2474898262553e-09
+3.1730769230769e+01 2.1865334793054e-10
+3.9663461538462e+01 4.9945917819430e-09
+4.7596153846154e+01 1.4494869708804e-09
+5.5528846153846e+01 4.8574684029482e-09
+6.3461538461538e+01 2.9612443376441e-10
+7.1394230769231e+01 5.0471156827284e-09
+7.5360576923077e+01 6.0050193698808e-09
+7.9326923076923e+01 1.6997070637354e-09
+8.3293269230769e+01 9.1322631644867e-09
+8.7259615384615e+01 5.8128057798731e-09
+9.1225961538462e+01 1.2149526186016e-08
+9.5192307692308e+01 4.2946718699605e-10
+9.9158653846154e+01 1.1910283778727e-08
+1.0312500000000e+02 6.4802796881402e-09
+1.0709134615385e+02 1.0306218602925e-08
+1.1105769230769e+02 2.2147661490268e-09
+1.1502403846154e+02 9.5215971713968e-09
+1.1899038461538e+02 6.2385562860964e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gyz_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gyz_norm2.xg
new file mode 100644
index 000000000..5a5bc155d
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gyz_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gyz
+"gyz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 3.1184313792495e-11
+1.5865384615385e+01 9.1956497325485e-10
+2.3798076923077e+01 5.7096126766257e-09
+3.1730769230769e+01 1.5491544927741e-09
+3.9663461538462e+01 8.2482161855322e-09
+4.7596153846154e+01 3.8376139659180e-09
+5.5528846153846e+01 7.2944510981535e-09
+6.3461538461538e+01 1.4519490924441e-09
+7.1394230769231e+01 6.9752400620237e-09
+7.5360576923077e+01 8.0564925741180e-09
+7.9326923076923e+01 3.6726946619981e-09
+8.3293269230769e+01 1.3930419234770e-08
+8.7259615384615e+01 8.2762306156629e-09
+9.1225961538462e+01 1.8901009851419e-08
+9.5192307692308e+01 2.0191601573259e-09
+9.9158653846154e+01 1.7663373457436e-08
+1.0312500000000e+02 9.6287661689687e-09
+1.0709134615385e+02 1.4674031548752e-08
+1.1105769230769e+02 4.4636794455372e-09
+1.1502403846154e+02 1.3323840260557e-08
+1.1899038461538e+02 8.8865347172443e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gzz.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/gzz.x.asc
new file mode 100644
index 000000000..3c9411617
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gzz.x.asc
@@ -0,0 +1,864 @@
+# ADMBASE::gzz x (gzz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 1.01857101160765
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 1.01960605224309
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 1.02029641693505
+0 0 0 0 0 24 24 24 0 0 0 0 1.02053896717033
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 1.02029641693505
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 1.01960605224309
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 1.01857101160765
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 1.01732029130819
+0 0 0 0 0 64 24 24 0 423.076923076923 0 0 1.01597850949553
+0 0 0 0 0 72 24 24 0 507.692307692308 0 0 1.01464185210732
+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 1.01337434606597
+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 1.01221034872541
+0 0 0 0 0 96 24 24 0 761.538461538462 0 0 1.01116344271757
+0 0 0 0 0 104 24 24 0 846.153846153846 0 0 1.01023395283803
+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 1.00941461590367
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 1.00869483055618
+0 0 0 0 0 128 24 24 0 1100 0 0 1.0080627851157
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 1.0075070674037
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 1.00701711135106
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 1.00658359419917
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 1.006198416854
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 1.00585464623272
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 1.00554639904053
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 1.00526870807156
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 1.00501738924373
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 1.00478892340349
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 1.00458035259249
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 1.00438919102191
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 1.00421334648009
+0 0 0 0 0 232 24 24 0 2200 0 0 1.00405104893667
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 1.02000193918476
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 1.02029641693505
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 1.02047789124297
+0 0 1 0 0 24 24 24 0 0 0 0 1.02053896717033
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 1.02047789124297
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 1.02029641693505
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 1.02000193918476
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 1.01960605224309
+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 1.01912384749715
+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 1.01857101160765
+0 0 1 0 0 52 24 24 0 296.153846153846 0 0 1.01796438337812
+0 0 1 0 0 56 24 24 0 338.461538461538 0 0 1.01732029130819
+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 1.0166537631369
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 1.01597850949553
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 1.01530476537934
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 1.01464185210732
+0 0 1 0 0 76 24 24 0 550 0 0 1.013996707195
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 1.01337434606597
+0 0 1 0 0 84 24 24 0 634.615384615385 0 0 1.01277822896438
+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 1.01221034872541
+0 0 1 0 0 92 24 24 0 719.230769230769 0 0 1.01167200897287
+0 0 1 0 0 96 24 24 0 761.538461538462 0 0 1.01116344271757
+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 1.01068439866994
+0 0 1 0 0 104 24 24 0 846.153846153846 0 0 1.01023395283803
+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 1.00981117939165
+0 0 1 0 0 112 24 24 0 930.769230769231 0 0 1.00941461590367
+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 1.00904301890113
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 1.00869483055618
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 1.0083685547414
+0 0 1 0 0 128 24 24 0 1100 0 0 1.0080627851157
+0 0 1 0 0 132 24 24 0 1142.30769230769 0 0 1.0077760465669
+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 1.0075070674037
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 1.00725445252533
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.0204018487379
+0 0 2 0 0 20 24 24 0 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047789124297
+0 0 2 0 0 22 24 24 0 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.02052374357434
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053896717033
+0 0 2 0 0 26 24 24 0 21.1538461538462 7.105427357601e-15 7.105427357601e-15 1.02052374357434
+0 0 2 0 0 28 24 24 0 42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047789124297
+0 0 2 0 0 30 24 24 0 63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.0204018487379
+0 0 2 0 0 32 24 24 0 84.6153846153846 7.105427357601e-15 7.105427357601e-15 1.02029641693505
+0 0 2 0 0 34 24 24 0 105.769230769231 7.105427357601e-15 7.105427357601e-15 1.02016267502063
+0 0 2 0 0 36 24 24 0 126.923076923077 7.105427357601e-15 7.105427357601e-15 1.02000193918476
+0 0 2 0 0 38 24 24 0 148.076923076923 7.105427357601e-15 7.105427357601e-15 1.01981576358925
+0 0 2 0 0 40 24 24 0 169.230769230769 7.105427357601e-15 7.105427357601e-15 1.01960605224309
+0 0 2 0 0 42 24 24 0 190.384615384615 7.105427357601e-15 7.105427357601e-15 1.01937494147213
+0 0 2 0 0 44 24 24 0 211.538461538462 7.105427357601e-15 7.105427357601e-15 1.01912384749715
+0 0 2 0 0 46 24 24 0 232.692307692308 7.105427357601e-15 7.105427357601e-15 1.01885488535482
+0 0 2 0 0 48 24 24 0 253.846153846154 7.105427357601e-15 7.105427357601e-15 1.01857101160765
+0 0 2 0 0 50 24 24 0 275 7.105427357601e-15 7.105427357601e-15 1.01827301031043
+0 0 2 0 0 52 24 24 0 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.01796438337812
+0 0 2 0 0 54 24 24 0 317.307692307692 7.105427357601e-15 7.105427357601e-15 1.01764576019633
+0 0 2 0 0 56 24 24 0 338.461538461538 7.105427357601e-15 7.105427357601e-15 1.01732029130819
+0 0 2 0 0 58 24 24 0 359.615384615385 7.105427357601e-15 7.105427357601e-15 1.01698905647444
+0 0 2 0 0 60 24 24 0 380.769230769231 7.105427357601e-15 7.105427357601e-15 1.0166537631369
+0 0 2 0 0 62 24 24 0 401.923076923077 7.105427357601e-15 7.105427357601e-15 1.01631653374398
+0 0 2 0 0 64 24 24 0 423.076923076923 7.105427357601e-15 7.105427357601e-15 1.01597850949553
+0 0 2 0 0 66 24 24 0 444.230769230769 7.105427357601e-15 7.105427357601e-15 1.01564086558789
+0 0 2 0 0 68 24 24 0 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.01530476537934
+0 0 2 0 0 70 24 24 0 486.538461538462 7.105427357601e-15 7.105427357601e-15 1.01497152088152
+0 0 2 0 0 72 24 24 0 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.01464185210732
+0 0 2 0 0 74 24 24 0 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.01431674486978
+0 0 2 0 0 76 24 24 0 550 7.105427357601e-15 7.105427357601e-15 1.013996707195
+0 0 2 0 0 78 24 24 0 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.01368246223245
+0 0 2 0 0 80 24 24 0 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.01337434606597
+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.01307288239855
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 12 24 24 15.8653846153846 -126.923076923077 0 0 1.02000196114796
+4 0 1 0 0 16 24 24 15.8653846153846 -84.6153846153846 0 0 1.02029644673345
+4 0 1 0 0 20 24 24 15.8653846153846 -42.3076923076923 0 0 1.02047789790441
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 1.02053889656745
+4 0 1 0 0 28 24 24 15.8653846153846 42.3076923076923 0 0 1.02047789790441
+4 0 1 0 0 32 24 24 15.8653846153846 84.6153846153846 0 0 1.02029644673345
+4 0 1 0 0 36 24 24 15.8653846153846 126.923076923077 0 0 1.02000196114796
+4 0 1 0 0 40 24 24 15.8653846153846 169.230769230769 0 0 1.01960599449463
+4 0 1 0 0 44 24 24 15.8653846153846 211.538461538462 0 0 1.01912388791235
+4 0 1 0 0 48 24 24 15.8653846153846 253.846153846154 0 0 1.01857109890443
+4 0 1 0 0 52 24 24 15.8653846153846 296.153846153846 0 0 1.01796446395597
+4 0 1 0 0 56 24 24 15.8653846153846 338.461538461538 0 0 1.01732030948849
+4 0 1 0 0 60 24 24 15.8653846153846 380.769230769231 0 0 1.01665372571107
+4 0 1 0 0 64 24 24 15.8653846153846 423.076923076923 0 0 1.01597852736616
+4 0 1 0 0 68 24 24 15.8653846153846 465.384615384615 0 0 1.01530477271247
+4 0 1 0 0 72 24 24 15.8653846153846 507.692307692308 0 0 1.01464184882267
+4 0 1 0 0 76 24 24 15.8653846153846 550 0 0 1.01399670380334
+4 0 1 0 0 80 24 24 15.8653846153846 592.307692307692 0 0 1.01337434849008
+4 0 1 0 0 84 24 24 15.8653846153846 634.615384615385 0 0 1.01277823474814
+4 0 1 0 0 88 24 24 15.8653846153846 676.923076923077 0 0 1.01221034346654
+4 0 1 0 0 92 24 24 15.8653846153846 719.230769230769 0 0 1.01167201048804
+4 0 1 0 0 96 24 24 15.8653846153846 761.538461538462 0 0 1.01116343839434
+4 0 1 0 0 100 24 24 15.8653846153846 803.846153846154 0 0 1.01068440069894
+4 0 1 0 0 104 24 24 15.8653846153846 846.153846153846 0 0 1.01023395134505
+4 0 1 0 0 108 24 24 15.8653846153846 888.461538461538 0 0 1.00981117560364
+4 0 1 0 0 112 24 24 15.8653846153846 930.769230769231 0 0 1.00941461225564
+4 0 1 0 0 116 24 24 15.8653846153846 973.076923076923 0 0 1.00904301593376
+4 0 1 0 0 120 24 24 15.8653846153846 1015.38461538462 0 0 1.00869482814811
+4 0 1 0 0 124 24 24 15.8653846153846 1057.69230769231 0 0 1.0083685521255
+4 0 1 0 0 128 24 24 15.8653846153846 1100 0 0 1.00806278222948
+4 0 1 0 0 132 24 24 15.8653846153846 1142.30769230769 0 0 1.00777604399794
+4 0 1 0 0 136 24 24 15.8653846153846 1184.61538461538 0 0 1.00750706525467
+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 1.00725445056721
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 18 24 24 15.8653846153846 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.02040185061589
+4 0 2 0 0 20 24 24 15.8653846153846 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047789790441
+4 0 2 0 0 22 24 24 15.8653846153846 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.02052375200684
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053889656745
+4 0 2 0 0 26 24 24 15.8653846153846 21.1538461538462 7.105427357601e-15 7.105427357601e-15 1.02052375200684
+4 0 2 0 0 28 24 24 15.8653846153846 42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047789790441
+4 0 2 0 0 30 24 24 15.8653846153846 63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.02040185061589
+4 0 2 0 0 32 24 24 15.8653846153846 84.6153846153846 7.105427357601e-15 7.105427357601e-15 1.02029644673345
+4 0 2 0 0 34 24 24 15.8653846153846 105.769230769231 7.105427357601e-15 7.105427357601e-15 1.02016270089192
+4 0 2 0 0 36 24 24 15.8653846153846 126.923076923077 7.105427357601e-15 7.105427357601e-15 1.02000196114796
+4 0 2 0 0 38 24 24 15.8653846153846 148.076923076923 7.105427357601e-15 7.105427357601e-15 1.01981575191535
+4 0 2 0 0 40 24 24 15.8653846153846 169.230769230769 7.105427357601e-15 7.105427357601e-15 1.01960599449463
+4 0 2 0 0 42 24 24 15.8653846153846 190.384615384615 7.105427357601e-15 7.105427357601e-15 1.01937496863914
+4 0 2 0 0 44 24 24 15.8653846153846 211.538461538462 7.105427357601e-15 7.105427357601e-15 1.01912388791235
+4 0 2 0 0 46 24 24 15.8653846153846 232.692307692308 7.105427357601e-15 7.105427357601e-15 1.01885480493915
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 232 24 24 31.7307692307692 2200 0 0 1.0040509629624
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 1.00725444468885
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 1.00725443572851
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 66 24 24 47.5961538461538 444.230769230769 7.105427357601e-15 7.105427357601e-15 1.0156408970687
+12 0 2 0 0 68 24 24 47.5961538461538 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.01530470467412
+12 0 2 0 0 70 24 24 47.5961538461538 486.538461538462 7.105427357601e-15 7.105427357601e-15 1.01497145714572
+12 0 2 0 0 72 24 24 47.5961538461538 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.01464180688901
+12 0 2 0 0 74 24 24 47.5961538461538 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.01431670478138
+12 0 2 0 0 76 24 24 47.5961538461538 550 7.105427357601e-15 7.105427357601e-15 1.01399666955128
+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.01368241866751
+12 0 2 0 0 80 24 24 47.5961538461538 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.01337430243228
+12 0 2 0 0 82 24 24 47.5961538461538 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.01307286628745
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 0 24 24 63.4615384615385 -253.846153846154 0 0 1.01857105792774
+16 0 0 0 0 8 24 24 63.4615384615385 -169.230769230769 0 0 1.01960597899316
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+16 0 0 0 0 32 24 24 63.4615384615385 84.6153846153846 0 0 1.02029640171102
+16 0 0 0 0 40 24 24 63.4615384615385 169.230769230769 0 0 1.01960597899316
+16 0 0 0 0 48 24 24 63.4615384615385 253.846153846154 0 0 1.01857105792774
+16 0 0 0 0 56 24 24 63.4615384615385 338.461538461539 0 0 1.01732030017879
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+16 0 0 0 0 192 24 24 63.4615384615385 1776.92307692308 0 0 1.00501738135897
+16 0 0 0 0 200 24 24 63.4615384615385 1861.53846153846 0 0 1.00478891696678
+16 0 0 0 0 208 24 24 63.4615384615385 1946.15384615385 0 0 1.00458034726748
+16 0 0 0 0 216 24 24 63.4615384615385 2030.76923076923 0 0 1.00438918660171
+16 0 0 0 0 224 24 24 63.4615384615385 2115.38461538462 0 0 1.00421334890918
+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 1.00405093873823
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 12 24 24 63.4615384615385 -126.923076923077 0 0 1.0200019513152
+16 0 1 0 0 16 24 24 63.4615384615385 -84.6153846153846 0 0 1.02029640171102
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+16 0 1 0 0 28 24 24 63.4615384615385 42.3076923076923 0 0 1.02047786354981
+16 0 1 0 0 32 24 24 63.4615384615385 84.6153846153846 0 0 1.02029640171102
+16 0 1 0 0 36 24 24 63.4615384615385 126.923076923077 0 0 1.0200019513152
+16 0 1 0 0 40 24 24 63.4615384615385 169.230769230769 0 0 1.01960597899316
+16 0 1 0 0 44 24 24 63.4615384615385 211.538461538462 0 0 1.01912386367307
+16 0 1 0 0 48 24 24 63.4615384615385 253.846153846154 0 0 1.01857105792774
+16 0 1 0 0 52 24 24 63.4615384615385 296.153846153846 0 0 1.01796440754988
+16 0 1 0 0 56 24 24 63.4615384615385 338.461538461538 0 0 1.01732030017879
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+16 0 1 0 0 76 24 24 63.4615384615385 550 0 0 1.01399666550813
+16 0 1 0 0 80 24 24 63.4615384615385 592.307692307692 0 0 1.01337428986954
+16 0 1 0 0 84 24 24 63.4615384615385 634.615384615385 0 0 1.01277822049496
+16 0 1 0 0 88 24 24 63.4615384615385 676.923076923077 0 0 1.01221034969472
+16 0 1 0 0 92 24 24 63.4615384615385 719.230769230769 0 0 1.01167197192599
+16 0 1 0 0 96 24 24 63.4615384615385 761.538461538462 0 0 1.01116343229658
+16 0 1 0 0 100 24 24 63.4615384615385 803.846153846154 0 0 1.01068440939151
+16 0 1 0 0 104 24 24 63.4615384615385 846.153846153846 0 0 1.01023394581759
+16 0 1 0 0 108 24 24 63.4615384615385 888.461538461538 0 0 1.00981114644638
+16 0 1 0 0 112 24 24 63.4615384615385 930.769230769231 0 0 1.00941455832375
+16 0 1 0 0 116 24 24 63.4615384615385 973.076923076923 0 0 1.00904296479102
+16 0 1 0 0 120 24 24 63.4615384615385 1015.38461538462 0 0 1.00869478655579
+16 0 1 0 0 124 24 24 63.4615384615385 1057.69230769231 0 0 1.00836851229195
+16 0 1 0 0 128 24 24 63.4615384615385 1100 0 0 1.00806274376111
+16 0 1 0 0 132 24 24 63.4615384615385 1142.30769230769 0 0 1.00777601008457
+16 0 1 0 0 136 24 24 63.4615384615385 1184.61538461538 0 0 1.00750703596232
+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 1.00725442340678
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 18 24 24 63.4615384615385 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.02040181514646
+16 0 2 0 0 20 24 24 63.4615384615385 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047786354981
+16 0 2 0 0 22 24 24 63.4615384615385 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.02052368255759
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+16 0 2 0 0 26 24 24 63.4615384615385 21.1538461538462 7.105427357601e-15 7.105427357601e-15 1.02052368255759
+16 0 2 0 0 28 24 24 63.4615384615385 42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047786354981
+16 0 2 0 0 30 24 24 63.4615384615385 63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.02040181514646
+16 0 2 0 0 32 24 24 63.4615384615385 84.6153846153846 7.105427357601e-15 7.105427357601e-15 1.02029640171102
+16 0 2 0 0 34 24 24 63.4615384615385 105.769230769231 7.105427357601e-15 7.105427357601e-15 1.0201626719904
+16 0 2 0 0 36 24 24 63.4615384615385 126.923076923077 7.105427357601e-15 7.105427357601e-15 1.0200019513152
+16 0 2 0 0 38 24 24 63.4615384615385 148.076923076923 7.105427357601e-15 7.105427357601e-15 1.01981572118745
+16 0 2 0 0 40 24 24 63.4615384615385 169.230769230769 7.105427357601e-15 7.105427357601e-15 1.01960597899316
+16 0 2 0 0 42 24 24 63.4615384615385 190.384615384615 7.105427357601e-15 7.105427357601e-15 1.01937494273676
+16 0 2 0 0 44 24 24 63.4615384615385 211.538461538462 7.105427357601e-15 7.105427357601e-15 1.01912386367307
+16 0 2 0 0 46 24 24 63.4615384615385 232.692307692308 7.105427357601e-15 7.105427357601e-15 1.01885485052054
+16 0 2 0 0 48 24 24 63.4615384615385 253.846153846154 7.105427357601e-15 7.105427357601e-15 1.01857105792774
+16 0 2 0 0 50 24 24 63.4615384615385 275 7.105427357601e-15 7.105427357601e-15 1.01827297413615
+16 0 2 0 0 52 24 24 63.4615384615385 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.01796440754988
+16 0 2 0 0 54 24 24 63.4615384615385 317.307692307692 7.105427357601e-15 7.105427357601e-15 1.01764575476178
+16 0 2 0 0 56 24 24 63.4615384615385 338.461538461538 7.105427357601e-15 7.105427357601e-15 1.01732030017879
+16 0 2 0 0 58 24 24 63.4615384615385 359.615384615385 7.105427357601e-15 7.105427357601e-15 1.01698907843206
+16 0 2 0 0 60 24 24 63.4615384615385 380.769230769231 7.105427357601e-15 7.105427357601e-15 1.01665374617959
+16 0 2 0 0 62 24 24 63.4615384615385 401.923076923077 7.105427357601e-15 7.105427357601e-15 1.01631655561851
+16 0 2 0 0 64 24 24 63.4615384615385 423.076923076923 7.105427357601e-15 7.105427357601e-15 1.01597855406965
+16 0 2 0 0 66 24 24 63.4615384615385 444.230769230769 7.105427357601e-15 7.105427357601e-15 1.01564084782516
+16 0 2 0 0 68 24 24 63.4615384615385 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.01530468123379
+16 0 2 0 0 70 24 24 63.4615384615385 486.538461538462 7.105427357601e-15 7.105427357601e-15 1.01497144225777
+16 0 2 0 0 72 24 24 63.4615384615385 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.01464179677912
+16 0 2 0 0 74 24 24 63.4615384615385 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.01431669907089
+16 0 2 0 0 76 24 24 63.4615384615385 550 7.105427357601e-15 7.105427357601e-15 1.01399666550813
+16 0 2 0 0 78 24 24 63.4615384615385 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.0136824111553
+16 0 2 0 0 80 24 24 63.4615384615385 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.01337428986954
+16 0 2 0 0 82 24 24 63.4615384615385 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.01307284857445
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 12 24 24 79.3269230769231 -126.923076923077 0 0 1.02000191294576
+20 0 1 0 0 16 24 24 79.3269230769231 -84.6153846153846 0 0 1.02029639761936
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+20 0 1 0 0 40 24 24 79.3269230769231 169.230769230769 0 0 1.0196059797579
+20 0 1 0 0 44 24 24 79.3269230769231 211.538461538462 0 0 1.01912389475073
+20 0 1 0 0 48 24 24 79.3269230769231 253.846153846154 0 0 1.01857113003738
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+20 0 1 0 0 80 24 24 79.3269230769231 592.307692307692 0 0 1.0133742998084
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+20 0 1 0 0 108 24 24 79.3269230769231 888.461538461538 0 0 1.00981112655399
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+20 0 1 0 0 116 24 24 79.3269230769231 973.076923076923 0 0 1.00904293592736
+20 0 1 0 0 120 24 24 79.3269230769231 1015.38461538462 0 0 1.00869476116011
+20 0 1 0 0 124 24 24 79.3269230769231 1057.69230769231 0 0 1.00836848927579
+20 0 1 0 0 128 24 24 79.3269230769231 1100 0 0 1.00806272312567
+20 0 1 0 0 132 24 24 79.3269230769231 1142.30769230769 0 0 1.00777599153653
+20 0 1 0 0 136 24 24 79.3269230769231 1184.61538461538 0 0 1.00750701921245
+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 1.00725440801007
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 18 24 24 79.3269230769231 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.02040178490565
+20 0 2 0 0 20 24 24 79.3269230769231 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047782155675
+20 0 2 0 0 22 24 24 79.3269230769231 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.02052371815238
+20 0 2 0 0 24 24 24 79.3269230769231 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.0205388697219
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+20 0 2 0 0 50 24 24 79.3269230769231 275 7.105427357601e-15 7.105427357601e-15 1.01827288490253
+20 0 2 0 0 52 24 24 79.3269230769231 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.01796450178795
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+20 0 2 0 0 56 24 24 79.3269230769231 338.461538461538 7.105427357601e-15 7.105427357601e-15 1.01732031328751
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+20 0 2 0 0 62 24 24 79.3269230769231 401.923076923077 7.105427357601e-15 7.105427357601e-15 1.01631651614013
+20 0 2 0 0 64 24 24 79.3269230769231 423.076923076923 7.105427357601e-15 7.105427357601e-15 1.01597851468004
+20 0 2 0 0 66 24 24 79.3269230769231 444.230769230769 7.105427357601e-15 7.105427357601e-15 1.01564082734364
+20 0 2 0 0 68 24 24 79.3269230769231 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.01530468218207
+20 0 2 0 0 70 24 24 79.3269230769231 486.538461538462 7.105427357601e-15 7.105427357601e-15 1.01497144398599
+20 0 2 0 0 72 24 24 79.3269230769231 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.01464179541776
+20 0 2 0 0 74 24 24 79.3269230769231 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.01431670210727
+20 0 2 0 0 76 24 24 79.3269230769231 550 7.105427357601e-15 7.105427357601e-15 1.01399667347516
+20 0 2 0 0 78 24 24 79.3269230769231 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.0136824220043
+20 0 2 0 0 80 24 24 79.3269230769231 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.0133742998084
+20 0 2 0 0 82 24 24 79.3269230769231 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.01307284799428
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 3 0 0 21 24 24 79.3269230769231 -31.7307692307692 7.105427357601e-15 7.105427357601e-15 1.02050457312444
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 2 0 0 82 24 24 95.1923076923077 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.01307285518783
+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 53 24 24 95.1923076923077 306.730769230769 7.105427357601e-15 7.105427357601e-15 1.0178061271252
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 1 0 0 12 24 24 111.057692307692 -126.923076923077 0 0 1.02000203270381
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+28 0 1 0 0 76 24 24 111.057692307692 550 0 0 1.01399667548532
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+28 0 1 0 0 84 24 24 111.057692307692 634.615384615385 0 0 1.01277821164153
+28 0 1 0 0 88 24 24 111.057692307692 676.923076923077 0 0 1.01221031670145
+28 0 1 0 0 92 24 24 111.057692307692 719.230769230769 0 0 1.01167196096257
+28 0 1 0 0 96 24 24 111.057692307692 761.538461538462 0 0 1.01116339269955
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+28 0 1 0 0 104 24 24 111.057692307692 846.153846153846 0 0 1.0102339241266
+28 0 1 0 0 108 24 24 111.057692307692 888.461538461538 0 0 1.00981108360632
+28 0 1 0 0 112 24 24 111.057692307692 930.769230769231 0 0 1.00941446081841
+28 0 1 0 0 116 24 24 111.057692307692 973.076923076923 0 0 1.0090428656731
+28 0 1 0 0 120 24 24 111.057692307692 1015.38461538462 0 0 1.00869469659904
+28 0 1 0 0 124 24 24 111.057692307692 1057.69230769231 0 0 1.00836843054061
+28 0 1 0 0 128 24 24 111.057692307692 1100 0 0 1.00806267078296
+28 0 1 0 0 132 24 24 111.057692307692 1142.30769230769 0 0 1.00777594362248
+28 0 1 0 0 136 24 24 111.057692307692 1184.61538461538 0 0 1.00750697508873
+28 0 1 0 0 140 24 24 111.057692307692 1226.92307692308 0 0 1.00725436763812
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 18 24 24 111.057692307692 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.0204018748089
+28 0 2 0 0 20 24 24 111.057692307692 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.02047789507648
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+28 0 2 0 0 76 24 24 111.057692307692 550 7.105427357601e-15 7.105427357601e-15 1.01399667548532
+28 0 2 0 0 78 24 24 111.057692307692 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.0136824301755
+28 0 2 0 0 80 24 24 111.057692307692 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.01337431358742
+28 0 2 0 0 82 24 24 111.057692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.01307285837111
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 22 24 24 111.057692307692 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.02052377190005
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+28 0 3 0 0 38 24 24 111.057692307692 148.076923076923 7.105427357601e-15 7.105427357601e-15 1.01981578644974
+28 0 3 0 0 39 24 24 111.057692307692 158.653846153846 7.105427357601e-15 7.105427357601e-15 1.01971371131198
+28 0 3 0 0 40 24 24 111.057692307692 169.230769230769 7.105427357601e-15 7.105427357601e-15 1.01960604286875
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+28 0 3 0 0 47 24 24 111.057692307692 243.269230769231 7.105427357601e-15 7.105427357601e-15 1.01871474768033
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+28 0 3 0 0 49 24 24 111.057692307692 264.423076923077 7.105427357601e-15 7.105427357601e-15 1.01842357832532
+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 1.01827300439409
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 1.01812001578057
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.01796443830222
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 1.01780610441034
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gzz.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/gzz.y.asc
new file mode 100644
index 000000000..b6139ae3d
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gzz.y.asc
@@ -0,0 +1,864 @@
+# ADMBASE::gzz y (gzz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 1.01857101160765
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 1.01960605224309
+0 0 0 0 0 24 16 24 0 0 -84.6153846153846 0 1.02029641693505
+0 0 0 0 0 24 24 24 0 0 0 0 1.02053896717033
+0 0 0 0 0 24 32 24 0 0 84.6153846153846 0 1.02029641693505
+0 0 0 0 0 24 40 24 0 0 169.230769230769 0 1.01960605224309
+0 0 0 0 0 24 48 24 0 0 253.846153846154 0 1.01857101160765
+0 0 0 0 0 24 56 24 0 0 338.461538461539 0 1.01732029130819
+0 0 0 0 0 24 64 24 0 0 423.076923076923 0 1.01597850949553
+0 0 0 0 0 24 72 24 0 0 507.692307692308 0 1.01464185210732
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+0 0 0 0 0 24 128 24 0 0 1100 0 1.0080627851157
+0 0 0 0 0 24 136 24 0 0 1184.61538461538 0 1.0075070674037
+0 0 0 0 0 24 144 24 0 0 1269.23076923077 0 1.00701711135106
+0 0 0 0 0 24 152 24 0 0 1353.84615384615 0 1.00658359419917
+0 0 0 0 0 24 160 24 0 0 1438.46153846154 0 1.006198416854
+0 0 0 0 0 24 168 24 0 0 1523.07692307692 0 1.00585464623272
+0 0 0 0 0 24 176 24 0 0 1607.69230769231 0 1.00554639904053
+0 0 0 0 0 24 184 24 0 0 1692.30769230769 0 1.00526870807156
+0 0 0 0 0 24 192 24 0 0 1776.92307692308 0 1.00501738924373
+0 0 0 0 0 24 200 24 0 0 1861.53846153846 0 1.00478892340349
+0 0 0 0 0 24 208 24 0 0 1946.15384615385 0 1.00458035259249
+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 1.00438919102191
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 1.00421334648009
+0 0 0 0 0 24 232 24 0 0 2200 0 1.00405104893667
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 1.02000193918476
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 1.02029641693505
+0 0 1 0 0 24 20 24 0 0 -42.3076923076923 0 1.02047789124297
+0 0 1 0 0 24 24 24 0 0 0 0 1.02053896717033
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+0 0 1 0 0 24 32 24 0 0 84.6153846153846 0 1.02029641693505
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+0 0 1 0 0 24 120 24 0 0 1015.38461538462 0 1.00869483055618
+0 0 1 0 0 24 124 24 0 0 1057.69230769231 0 1.0083685547414
+0 0 1 0 0 24 128 24 0 0 1100 0 1.0080627851157
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+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 1.0075070674037
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 1.00725445252533
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 2 0 0 24 20 24 0 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 1.02047789124297
+0 0 2 0 0 24 22 24 0 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 1.02052374357434
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053896717033
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+0 0 2 0 0 24 28 24 0 7.105427357601e-15 42.3076923076923 7.105427357601e-15 1.02047789124297
+0 0 2 0 0 24 30 24 0 7.105427357601e-15 63.4615384615385 7.105427357601e-15 1.0204018487379
+0 0 2 0 0 24 32 24 0 7.105427357601e-15 84.6153846153846 7.105427357601e-15 1.02029641693505
+0 0 2 0 0 24 34 24 0 7.105427357601e-15 105.769230769231 7.105427357601e-15 1.02016267502063
+0 0 2 0 0 24 36 24 0 7.105427357601e-15 126.923076923077 7.105427357601e-15 1.02000193918476
+0 0 2 0 0 24 38 24 0 7.105427357601e-15 148.076923076923 7.105427357601e-15 1.01981576358925
+0 0 2 0 0 24 40 24 0 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.01960605224309
+0 0 2 0 0 24 42 24 0 7.105427357601e-15 190.384615384615 7.105427357601e-15 1.01937494147213
+0 0 2 0 0 24 44 24 0 7.105427357601e-15 211.538461538462 7.105427357601e-15 1.01912384749715
+0 0 2 0 0 24 46 24 0 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.01885488535482
+0 0 2 0 0 24 48 24 0 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.01857101160765
+0 0 2 0 0 24 50 24 0 7.105427357601e-15 275 7.105427357601e-15 1.01827301031043
+0 0 2 0 0 24 52 24 0 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.01796438337812
+0 0 2 0 0 24 54 24 0 7.105427357601e-15 317.307692307692 7.105427357601e-15 1.01764576019633
+0 0 2 0 0 24 56 24 0 7.105427357601e-15 338.461538461538 7.105427357601e-15 1.01732029130819
+0 0 2 0 0 24 58 24 0 7.105427357601e-15 359.615384615385 7.105427357601e-15 1.01698905647444
+0 0 2 0 0 24 60 24 0 7.105427357601e-15 380.769230769231 7.105427357601e-15 1.0166537631369
+0 0 2 0 0 24 62 24 0 7.105427357601e-15 401.923076923077 7.105427357601e-15 1.01631653374398
+0 0 2 0 0 24 64 24 0 7.105427357601e-15 423.076923076923 7.105427357601e-15 1.01597850949553
+0 0 2 0 0 24 66 24 0 7.105427357601e-15 444.230769230769 7.105427357601e-15 1.01564086558789
+0 0 2 0 0 24 68 24 0 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.01530476537934
+0 0 2 0 0 24 70 24 0 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.01497152088152
+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.01464185210732
+0 0 2 0 0 24 74 24 0 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.01431674486978
+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 1.013996707195
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.01368246223245
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.01337434606597
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307288239855
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 1.02000196114796
+4 0 1 0 0 24 16 24 15.8653846153846 0 -84.6153846153846 0 1.02029644673345
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+4 0 1 0 0 24 36 24 15.8653846153846 0 126.923076923077 0 1.02000196114796
+4 0 1 0 0 24 40 24 15.8653846153846 0 169.230769230769 0 1.01960599449463
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+4 0 1 0 0 24 112 24 15.8653846153846 0 930.769230769231 0 1.00941461225564
+4 0 1 0 0 24 116 24 15.8653846153846 0 973.076923076923 0 1.00904301593376
+4 0 1 0 0 24 120 24 15.8653846153846 0 1015.38461538462 0 1.00869482814811
+4 0 1 0 0 24 124 24 15.8653846153846 0 1057.69230769231 0 1.0083685521255
+4 0 1 0 0 24 128 24 15.8653846153846 0 1100 0 1.00806278222948
+4 0 1 0 0 24 132 24 15.8653846153846 0 1142.30769230769 0 1.00777604399794
+4 0 1 0 0 24 136 24 15.8653846153846 0 1184.61538461538 0 1.00750706525467
+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 1.00725445056721
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 18 24 15.8653846153846 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.02040185061589
+4 0 2 0 0 24 20 24 15.8653846153846 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 1.02047789790441
+4 0 2 0 0 24 22 24 15.8653846153846 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 1.02052375200684
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053889656745
+4 0 2 0 0 24 26 24 15.8653846153846 7.105427357601e-15 21.1538461538462 7.105427357601e-15 1.02052375200684
+4 0 2 0 0 24 28 24 15.8653846153846 7.105427357601e-15 42.3076923076923 7.105427357601e-15 1.02047789790441
+4 0 2 0 0 24 30 24 15.8653846153846 7.105427357601e-15 63.4615384615385 7.105427357601e-15 1.02040185061589
+4 0 2 0 0 24 32 24 15.8653846153846 7.105427357601e-15 84.6153846153846 7.105427357601e-15 1.02029644673345
+4 0 2 0 0 24 34 24 15.8653846153846 7.105427357601e-15 105.769230769231 7.105427357601e-15 1.02016270089192
+4 0 2 0 0 24 36 24 15.8653846153846 7.105427357601e-15 126.923076923077 7.105427357601e-15 1.02000196114796
+4 0 2 0 0 24 38 24 15.8653846153846 7.105427357601e-15 148.076923076923 7.105427357601e-15 1.01981575191535
+4 0 2 0 0 24 40 24 15.8653846153846 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.01960599449463
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+4 0 2 0 0 24 44 24 15.8653846153846 7.105427357601e-15 211.538461538462 7.105427357601e-15 1.01912388791235
+4 0 2 0 0 24 46 24 15.8653846153846 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.01885480493915
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+4 0 2 0 0 24 50 24 15.8653846153846 7.105427357601e-15 275 7.105427357601e-15 1.01827292771521
+4 0 2 0 0 24 52 24 15.8653846153846 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.01796446395597
+4 0 2 0 0 24 54 24 15.8653846153846 7.105427357601e-15 317.307692307692 7.105427357601e-15 1.01764569798779
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+4 0 2 0 0 24 60 24 15.8653846153846 7.105427357601e-15 380.769230769231 7.105427357601e-15 1.01665372571107
+4 0 2 0 0 24 62 24 15.8653846153846 7.105427357601e-15 401.923076923077 7.105427357601e-15 1.01631652224272
+4 0 2 0 0 24 64 24 15.8653846153846 7.105427357601e-15 423.076923076923 7.105427357601e-15 1.01597852736616
+4 0 2 0 0 24 66 24 15.8653846153846 7.105427357601e-15 444.230769230769 7.105427357601e-15 1.01564088230531
+4 0 2 0 0 24 68 24 15.8653846153846 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.01530477271247
+4 0 2 0 0 24 70 24 15.8653846153846 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.01497152225322
+4 0 2 0 0 24 72 24 15.8653846153846 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.01464184882267
+4 0 2 0 0 24 74 24 15.8653846153846 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.01431674050482
+4 0 2 0 0 24 76 24 15.8653846153846 7.105427357601e-15 550 7.105427357601e-15 1.01399670380334
+4 0 2 0 0 24 78 24 15.8653846153846 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.01368246153249
+4 0 2 0 0 24 80 24 15.8653846153846 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.01337434849008
+4 0 2 0 0 24 82 24 15.8653846153846 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307288755676
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 0 24 31.7307692307692 0 -253.846153846154 0 1.01857113388235
+8 0 0 0 0 24 8 24 31.7307692307692 0 -169.230769230769 0 1.01960598170853
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+8 0 0 0 0 24 32 24 31.7307692307692 0 84.6153846153846 0 1.02029635648813
+8 0 0 0 0 24 40 24 31.7307692307692 0 169.230769230769 0 1.01960598170853
+8 0 0 0 0 24 48 24 31.7307692307692 0 253.846153846154 0 1.01857113388235
+8 0 0 0 0 24 56 24 31.7307692307692 0 338.461538461539 0 1.01732040613148
+8 0 0 0 0 24 64 24 31.7307692307692 0 423.076923076923 0 1.01597859722643
+8 0 0 0 0 24 72 24 31.7307692307692 0 507.692307692308 0 1.0146418293472
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+8 0 0 0 0 24 112 24 31.7307692307692 0 930.769230769231 0 1.00941460127515
+8 0 0 0 0 24 120 24 31.7307692307692 0 1015.38461538462 0 1.00869482090433
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+8 0 0 0 0 24 152 24 31.7307692307692 0 1353.84615384615 0 1.00658358873644
+8 0 0 0 0 24 160 24 31.7307692307692 0 1438.46153846154 0 1.00619841225792
+8 0 0 0 0 24 168 24 31.7307692307692 0 1523.07692307692 0 1.00585464261428
+8 0 0 0 0 24 176 24 31.7307692307692 0 1607.69230769231 0 1.00554639607197
+8 0 0 0 0 24 184 24 31.7307692307692 0 1692.30769230769 0 1.00526870563311
+8 0 0 0 0 24 192 24 31.7307692307692 0 1776.92307692308 0 1.00501738726257
+8 0 0 0 0 24 200 24 31.7307692307692 0 1861.53846153846 0 1.00478892178471
+8 0 0 0 0 24 208 24 31.7307692307692 0 1946.15384615385 0 1.00458035124051
+8 0 0 0 0 24 216 24 31.7307692307692 0 2030.76923076923 0 1.00438918992072
+8 0 0 0 0 24 224 24 31.7307692307692 0 2115.38461538462 0 1.00421334678826
+8 0 0 0 0 24 232 24 31.7307692307692 0 2200 0 1.0040509629624
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 12 24 31.7307692307692 0 -126.923076923077 0 1.02000198297558
+8 0 1 0 0 24 16 24 31.7307692307692 0 -84.6153846153846 0 1.02029635648813
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+8 0 1 0 0 24 28 24 31.7307692307692 0 42.3076923076923 0 1.02047780734466
+8 0 1 0 0 24 32 24 31.7307692307692 0 84.6153846153846 0 1.02029635648813
+8 0 1 0 0 24 36 24 31.7307692307692 0 126.923076923077 0 1.02000198297558
+8 0 1 0 0 24 40 24 31.7307692307692 0 169.230769230769 0 1.01960598170853
+8 0 1 0 0 24 44 24 31.7307692307692 0 211.538461538462 0 1.01912396008879
+8 0 1 0 0 24 48 24 31.7307692307692 0 253.846153846154 0 1.01857113388235
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+8 0 1 0 0 24 76 24 31.7307692307692 0 550 0 1.01399668735817
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+8 0 1 0 0 24 84 24 31.7307692307692 0 634.615384615385 0 1.01277824542709
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+8 0 1 0 0 24 112 24 31.7307692307692 0 930.769230769231 0 1.00941460127515
+8 0 1 0 0 24 116 24 31.7307692307692 0 973.076923076923 0 1.00904300607515
+8 0 1 0 0 24 120 24 31.7307692307692 0 1015.38461538462 0 1.00869482090433
+8 0 1 0 0 24 124 24 31.7307692307692 0 1057.69230769231 0 1.00836854426355
+8 0 1 0 0 24 128 24 31.7307692307692 0 1100 0 1.00806277356039
+8 0 1 0 0 24 132 24 31.7307692307692 0 1142.30769230769 0 1.0077760362835
+8 0 1 0 0 24 136 24 31.7307692307692 0 1184.61538461538 0 1.00750705880207
+8 0 1 0 0 24 140 24 31.7307692307692 0 1226.92307692308 0 1.00725444468885
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 18 24 31.7307692307692 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.02040179522406
+8 0 2 0 0 24 20 24 31.7307692307692 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 1.02047780734466
+8 0 2 0 0 24 22 24 31.7307692307692 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 1.02052382636639
+8 0 2 0 0 24 24 24 31.7307692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053894530132
+8 0 2 0 0 24 26 24 31.7307692307692 7.105427357601e-15 21.1538461538462 7.105427357601e-15 1.02052382636639
+8 0 2 0 0 24 28 24 31.7307692307692 7.105427357601e-15 42.3076923076923 7.105427357601e-15 1.02047780734466
+8 0 2 0 0 24 30 24 31.7307692307692 7.105427357601e-15 63.4615384615385 7.105427357601e-15 1.02040179522406
+8 0 2 0 0 24 32 24 31.7307692307692 7.105427357601e-15 84.6153846153846 7.105427357601e-15 1.02029635648813
+8 0 2 0 0 24 34 24 31.7307692307692 7.105427357601e-15 105.769230769231 7.105427357601e-15 1.02016264070226
+8 0 2 0 0 24 36 24 31.7307692307692 7.105427357601e-15 126.923076923077 7.105427357601e-15 1.02000198297558
+8 0 2 0 0 24 38 24 31.7307692307692 7.105427357601e-15 148.076923076923 7.105427357601e-15 1.019815821853
+8 0 2 0 0 24 40 24 31.7307692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.01960598170853
+8 0 2 0 0 24 42 24 31.7307692307692 7.105427357601e-15 190.384615384615 7.105427357601e-15 1.01937491912332
+8 0 2 0 0 24 44 24 31.7307692307692 7.105427357601e-15 211.538461538462 7.105427357601e-15 1.01912396008879
+8 0 2 0 0 24 46 24 31.7307692307692 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.01885475007994
+8 0 2 0 0 24 48 24 31.7307692307692 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.01857113388235
+8 0 2 0 0 24 50 24 31.7307692307692 7.105427357601e-15 275 7.105427357601e-15 1.01827289139398
+8 0 2 0 0 24 52 24 31.7307692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.01796452081868
+8 0 2 0 0 24 54 24 31.7307692307692 7.105427357601e-15 317.307692307692 7.105427357601e-15 1.01764560540745
+8 0 2 0 0 24 56 24 31.7307692307692 7.105427357601e-15 338.461538461538 7.105427357601e-15 1.01732040613148
+8 0 2 0 0 24 58 24 31.7307692307692 7.105427357601e-15 359.615384615385 7.105427357601e-15 1.01698907884835
+8 0 2 0 0 24 60 24 31.7307692307692 7.105427357601e-15 380.769230769231 7.105427357601e-15 1.01665365128323
+8 0 2 0 0 24 62 24 31.7307692307692 7.105427357601e-15 401.923076923077 7.105427357601e-15 1.01631654792005
+8 0 2 0 0 24 64 24 31.7307692307692 7.105427357601e-15 423.076923076923 7.105427357601e-15 1.01597859722643
+8 0 2 0 0 24 66 24 31.7307692307692 7.105427357601e-15 444.230769230769 7.105427357601e-15 1.01564091263965
+8 0 2 0 0 24 68 24 31.7307692307692 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.01530474638426
+8 0 2 0 0 24 70 24 31.7307692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.01497149315682
+8 0 2 0 0 24 72 24 31.7307692307692 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.0146418293472
+8 0 2 0 0 24 74 24 31.7307692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.01431672295632
+8 0 2 0 0 24 76 24 31.7307692307692 7.105427357601e-15 550 7.105427357601e-15 1.01399668735817
+8 0 2 0 0 24 78 24 31.7307692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.01368244372748
+8 0 2 0 0 24 80 24 31.7307692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.01337433230742
+8 0 2 0 0 24 82 24 31.7307692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307288570291
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 12 24 47.5961538461538 0 -126.923076923077 0 1.02000197773301
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+12 0 1 0 0 24 124 24 47.5961538461538 0 1057.69230769231 0 1.00836853096447
+12 0 1 0 0 24 128 24 47.5961538461538 0 1100 0 1.00806276094125
+12 0 1 0 0 24 132 24 47.5961538461538 0 1142.30769230769 0 1.00777602517348
+12 0 1 0 0 24 136 24 47.5961538461538 0 1184.61538461538 0 1.00750704916196
+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 1.00725443572851
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 18 24 47.5961538461538 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.02040184960786
+12 0 2 0 0 24 20 24 47.5961538461538 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 1.02047788890037
+12 0 2 0 0 24 22 24 47.5961538461538 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 1.02052378332661
+12 0 2 0 0 24 24 24 47.5961538461538 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053891298279
+12 0 2 0 0 24 26 24 47.5961538461538 7.105427357601e-15 21.1538461538462 7.105427357601e-15 1.02052378332661
+12 0 2 0 0 24 28 24 47.5961538461538 7.105427357601e-15 42.3076923076923 7.105427357601e-15 1.02047788890037
+12 0 2 0 0 24 30 24 47.5961538461538 7.105427357601e-15 63.4615384615385 7.105427357601e-15 1.02040184960786
+12 0 2 0 0 24 32 24 47.5961538461538 7.105427357601e-15 84.6153846153846 7.105427357601e-15 1.02029634613468
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+12 0 2 0 0 24 36 24 47.5961538461538 7.105427357601e-15 126.923076923077 7.105427357601e-15 1.02000197773301
+12 0 2 0 0 24 38 24 47.5961538461538 7.105427357601e-15 148.076923076923 7.105427357601e-15 1.01981573222472
+12 0 2 0 0 24 40 24 47.5961538461538 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.01960600101236
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+12 0 2 0 0 24 46 24 47.5961538461538 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.01885482566129
+12 0 2 0 0 24 48 24 47.5961538461538 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.01857104486682
+12 0 2 0 0 24 50 24 47.5961538461538 7.105427357601e-15 275 7.105427357601e-15 1.01827299192643
+12 0 2 0 0 24 52 24 47.5961538461538 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.0179644321483
+12 0 2 0 0 24 54 24 47.5961538461538 7.105427357601e-15 317.307692307692 7.105427357601e-15 1.01764569268705
+12 0 2 0 0 24 56 24 47.5961538461538 7.105427357601e-15 338.461538461538 7.105427357601e-15 1.01732036928992
+12 0 2 0 0 24 58 24 47.5961538461538 7.105427357601e-15 359.615384615385 7.105427357601e-15 1.01698904364203
+12 0 2 0 0 24 60 24 47.5961538461538 7.105427357601e-15 380.769230769231 7.105427357601e-15 1.01665369642493
+12 0 2 0 0 24 62 24 47.5961538461538 7.105427357601e-15 401.923076923077 7.105427357601e-15 1.01631660022392
+12 0 2 0 0 24 64 24 47.5961538461538 7.105427357601e-15 423.076923076923 7.105427357601e-15 1.01597861378713
+12 0 2 0 0 24 66 24 47.5961538461538 7.105427357601e-15 444.230769230769 7.105427357601e-15 1.0156408970687
+12 0 2 0 0 24 68 24 47.5961538461538 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.01530470467412
+12 0 2 0 0 24 70 24 47.5961538461538 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.01497145714572
+12 0 2 0 0 24 72 24 47.5961538461538 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.01464180688901
+12 0 2 0 0 24 74 24 47.5961538461538 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.01431670478138
+12 0 2 0 0 24 76 24 47.5961538461538 7.105427357601e-15 550 7.105427357601e-15 1.01399666955128
+12 0 2 0 0 24 78 24 47.5961538461538 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.01368241866751
+12 0 2 0 0 24 80 24 47.5961538461538 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.01337430243228
+12 0 2 0 0 24 82 24 47.5961538461538 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307286628745
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 24 0 24 63.4615384615385 0 -253.846153846154 0 1.01857105792774
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+16 0 0 0 0 24 32 24 63.4615384615385 0 84.6153846153846 0 1.02029640171102
+16 0 0 0 0 24 40 24 63.4615384615385 0 169.230769230769 0 1.01960597899316
+16 0 0 0 0 24 48 24 63.4615384615385 0 253.846153846154 0 1.01857105792774
+16 0 0 0 0 24 56 24 63.4615384615385 0 338.461538461539 0 1.01732030017879
+16 0 0 0 0 24 64 24 63.4615384615385 0 423.076923076923 0 1.01597855406965
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+16 0 0 0 0 24 192 24 63.4615384615385 0 1776.92307692308 0 1.00501738135897
+16 0 0 0 0 24 200 24 63.4615384615385 0 1861.53846153846 0 1.00478891696678
+16 0 0 0 0 24 208 24 63.4615384615385 0 1946.15384615385 0 1.00458034726748
+16 0 0 0 0 24 216 24 63.4615384615385 0 2030.76923076923 0 1.00438918660171
+16 0 0 0 0 24 224 24 63.4615384615385 0 2115.38461538462 0 1.00421334890918
+16 0 0 0 0 24 232 24 63.4615384615385 0 2200 0 1.00405093873823
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 12 24 63.4615384615385 0 -126.923076923077 0 1.0200019513152
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+16 0 1 0 0 24 36 24 63.4615384615385 0 126.923076923077 0 1.0200019513152
+16 0 1 0 0 24 40 24 63.4615384615385 0 169.230769230769 0 1.01960597899316
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+16 0 1 0 0 24 76 24 63.4615384615385 0 550 0 1.01399666550813
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+16 0 1 0 0 24 120 24 63.4615384615385 0 1015.38461538462 0 1.00869478655579
+16 0 1 0 0 24 124 24 63.4615384615385 0 1057.69230769231 0 1.00836851229195
+16 0 1 0 0 24 128 24 63.4615384615385 0 1100 0 1.00806274376111
+16 0 1 0 0 24 132 24 63.4615384615385 0 1142.30769230769 0 1.00777601008457
+16 0 1 0 0 24 136 24 63.4615384615385 0 1184.61538461538 0 1.00750703596232
+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 1.00725442340678
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 18 24 63.4615384615385 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.02040181514646
+16 0 2 0 0 24 20 24 63.4615384615385 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 1.02047786354981
+16 0 2 0 0 24 22 24 63.4615384615385 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 1.02052368255759
+16 0 2 0 0 24 24 24 63.4615384615385 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053889000137
+16 0 2 0 0 24 26 24 63.4615384615385 7.105427357601e-15 21.1538461538462 7.105427357601e-15 1.02052368255759
+16 0 2 0 0 24 28 24 63.4615384615385 7.105427357601e-15 42.3076923076923 7.105427357601e-15 1.02047786354981
+16 0 2 0 0 24 30 24 63.4615384615385 7.105427357601e-15 63.4615384615385 7.105427357601e-15 1.02040181514646
+16 0 2 0 0 24 32 24 63.4615384615385 7.105427357601e-15 84.6153846153846 7.105427357601e-15 1.02029640171102
+16 0 2 0 0 24 34 24 63.4615384615385 7.105427357601e-15 105.769230769231 7.105427357601e-15 1.0201626719904
+16 0 2 0 0 24 36 24 63.4615384615385 7.105427357601e-15 126.923076923077 7.105427357601e-15 1.0200019513152
+16 0 2 0 0 24 38 24 63.4615384615385 7.105427357601e-15 148.076923076923 7.105427357601e-15 1.01981572118745
+16 0 2 0 0 24 40 24 63.4615384615385 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.01960597899316
+16 0 2 0 0 24 42 24 63.4615384615385 7.105427357601e-15 190.384615384615 7.105427357601e-15 1.01937494273676
+16 0 2 0 0 24 44 24 63.4615384615385 7.105427357601e-15 211.538461538462 7.105427357601e-15 1.01912386367307
+16 0 2 0 0 24 46 24 63.4615384615385 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.01885485052054
+16 0 2 0 0 24 48 24 63.4615384615385 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.01857105792774
+16 0 2 0 0 24 50 24 63.4615384615385 7.105427357601e-15 275 7.105427357601e-15 1.01827297413615
+16 0 2 0 0 24 52 24 63.4615384615385 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.01796440754988
+16 0 2 0 0 24 54 24 63.4615384615385 7.105427357601e-15 317.307692307692 7.105427357601e-15 1.01764575476178
+16 0 2 0 0 24 56 24 63.4615384615385 7.105427357601e-15 338.461538461538 7.105427357601e-15 1.01732030017879
+16 0 2 0 0 24 58 24 63.4615384615385 7.105427357601e-15 359.615384615385 7.105427357601e-15 1.01698907843206
+16 0 2 0 0 24 60 24 63.4615384615385 7.105427357601e-15 380.769230769231 7.105427357601e-15 1.01665374617959
+16 0 2 0 0 24 62 24 63.4615384615385 7.105427357601e-15 401.923076923077 7.105427357601e-15 1.01631655561851
+16 0 2 0 0 24 64 24 63.4615384615385 7.105427357601e-15 423.076923076923 7.105427357601e-15 1.01597855406965
+16 0 2 0 0 24 66 24 63.4615384615385 7.105427357601e-15 444.230769230769 7.105427357601e-15 1.01564084782516
+16 0 2 0 0 24 68 24 63.4615384615385 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.01530468123379
+16 0 2 0 0 24 70 24 63.4615384615385 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.01497144225777
+16 0 2 0 0 24 72 24 63.4615384615385 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.01464179677912
+16 0 2 0 0 24 74 24 63.4615384615385 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.01431669907089
+16 0 2 0 0 24 76 24 63.4615384615385 7.105427357601e-15 550 7.105427357601e-15 1.01399666550813
+16 0 2 0 0 24 78 24 63.4615384615385 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.0136824111553
+16 0 2 0 0 24 80 24 63.4615384615385 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.01337428986955
+16 0 2 0 0 24 82 24 63.4615384615385 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307284857445
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 24 12 24 79.3269230769231 0 -126.923076923077 0 1.02000191294576
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+20 0 1 0 0 24 36 24 79.3269230769231 0 126.923076923077 0 1.02000191294576
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 2 0 0 24 72 24 95.1923076923077 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.01464180135865
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+24 0 2 0 0 24 76 24 95.1923076923077 7.105427357601e-15 550 7.105427357601e-15 1.01399667943485
+24 0 2 0 0 24 78 24 95.1923076923077 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.01368243190504
+24 0 2 0 0 24 80 24 95.1923076923077 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.01337431211516
+24 0 2 0 0 24 82 24 95.1923076923077 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307285518783
+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 3 0 0 24 21 24 95.1923076923077 7.105427357601e-15 -31.7307692307692 7.105427357601e-15 1.0205046139791
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+24 0 3 0 0 24 40 24 95.1923076923077 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.01960602932586
+24 0 3 0 0 24 41 24 95.1923076923077 7.105427357601e-15 179.807692307692 7.105427357601e-15 1.01949305896759
+24 0 3 0 0 24 42 24 95.1923076923077 7.105427357601e-15 190.384615384615 7.105427357601e-15 1.01937493294083
+24 0 3 0 0 24 43 24 95.1923076923077 7.105427357601e-15 200.961538461539 7.105427357601e-15 1.01925180032799
+24 0 3 0 0 24 44 24 95.1923076923077 7.105427357601e-15 211.538461538462 7.105427357601e-15 1.01912393156655
+24 0 3 0 0 24 45 24 95.1923076923077 7.105427357601e-15 222.115384615385 7.105427357601e-15 1.01899140540233
+24 0 3 0 0 24 46 24 95.1923076923077 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.01885479104265
+24 0 3 0 0 24 47 24 95.1923076923077 7.105427357601e-15 243.269230769231 7.105427357601e-15 1.01871474914646
+24 0 3 0 0 24 48 24 95.1923076923077 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.01857108299308
+24 0 3 0 0 24 49 24 95.1923076923077 7.105427357601e-15 264.423076923077 7.105427357601e-15 1.01842356191338
+24 0 3 0 0 24 50 24 95.1923076923077 7.105427357601e-15 275 7.105427357601e-15 1.01827294858987
+24 0 3 0 0 24 51 24 95.1923076923077 7.105427357601e-15 285.576923076923 7.105427357601e-15 1.0181200196478
+24 0 3 0 0 24 52 24 95.1923076923077 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.01796450096157
+24 0 3 0 0 24 53 24 95.1923076923077 7.105427357601e-15 306.730769230769 7.105427357601e-15 1.0178061271252
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 1 0 0 24 12 24 111.057692307692 0 -126.923076923077 0 1.02000203270379
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+28 0 1 0 0 24 120 24 111.057692307692 0 1015.38461538462 0 1.00869469659904
+28 0 1 0 0 24 124 24 111.057692307692 0 1057.69230769231 0 1.00836843054061
+28 0 1 0 0 24 128 24 111.057692307692 0 1100 0 1.00806267078296
+28 0 1 0 0 24 132 24 111.057692307692 0 1142.30769230769 0 1.00777594362248
+28 0 1 0 0 24 136 24 111.057692307692 0 1184.61538461538 0 1.00750697508873
+28 0 1 0 0 24 140 24 111.057692307692 0 1226.92307692308 0 1.00725436763812
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 24 18 24 111.057692307692 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.02040187480915
+28 0 2 0 0 24 20 24 111.057692307692 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 1.02047789507667
+28 0 2 0 0 24 22 24 111.057692307692 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 1.02052377190011
+28 0 2 0 0 24 24 24 111.057692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053894806339
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+28 0 2 0 0 24 30 24 111.057692307692 7.105427357601e-15 63.4615384615385 7.105427357601e-15 1.02040187480915
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+28 0 2 0 0 24 40 24 111.057692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.01960604286875
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+28 0 2 0 0 24 68 24 111.057692307692 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.01530470921897
+28 0 2 0 0 24 70 24 111.057692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.01497146149669
+28 0 2 0 0 24 72 24 111.057692307692 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.01464180461744
+28 0 2 0 0 24 74 24 111.057692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.01431670586136
+28 0 2 0 0 24 76 24 111.057692307692 7.105427357601e-15 550 7.105427357601e-15 1.01399667548532
+28 0 2 0 0 24 78 24 111.057692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.0136824301755
+28 0 2 0 0 24 80 24 111.057692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.01337431358742
+28 0 2 0 0 24 82 24 111.057692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.01307285837111
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 24 21 24 111.057692307692 7.105427357601e-15 -31.7307692307692 7.105427357601e-15 1.02050463662172
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+28 0 3 0 0 24 37 24 111.057692307692 7.105427357601e-15 137.5 7.105427357601e-15 1.01991197514729
+28 0 3 0 0 24 38 24 111.057692307692 7.105427357601e-15 148.076923076923 7.105427357601e-15 1.01981578644972
+28 0 3 0 0 24 39 24 111.057692307692 7.105427357601e-15 158.653846153846 7.105427357601e-15 1.01971371131196
+28 0 3 0 0 24 40 24 111.057692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.01960604286875
+28 0 3 0 0 24 41 24 111.057692307692 7.105427357601e-15 179.807692307692 7.105427357601e-15 1.01949310735181
+28 0 3 0 0 24 42 24 111.057692307692 7.105427357601e-15 190.384615384615 7.105427357601e-15 1.01937499643296
+28 0 3 0 0 24 43 24 111.057692307692 7.105427357601e-15 200.961538461539 7.105427357601e-15 1.01925182794064
+28 0 3 0 0 24 44 24 111.057692307692 7.105427357601e-15 211.538461538462 7.105427357601e-15 1.01912391873229
+28 0 3 0 0 24 45 24 111.057692307692 7.105427357601e-15 222.115384615385 7.105427357601e-15 1.01899141421425
+28 0 3 0 0 24 46 24 111.057692307692 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.01885482325074
+28 0 3 0 0 24 47 24 111.057692307692 7.105427357601e-15 243.269230769231 7.105427357601e-15 1.01871474768033
+28 0 3 0 0 24 48 24 111.057692307692 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.01857105296491
+28 0 3 0 0 24 49 24 111.057692307692 7.105427357601e-15 264.423076923077 7.105427357601e-15 1.01842357832532
+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 1.01827300439408
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 1.01812001578057
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.01796443830222
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 1.01780610441034
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gzz.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/gzz.z.asc
new file mode 100644
index 000000000..936e35f26
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gzz.z.asc
@@ -0,0 +1,864 @@
+# ADMBASE::gzz z (gzz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 1.01857101160765
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 1.01960605224309
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 1.02029641693505
+0 0 0 0 0 24 24 24 0 0 0 0 1.02053896717033
+0 0 0 0 0 24 24 32 0 0 0 84.6153846153846 1.02029641693505
+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 1.01960605224309
+0 0 0 0 0 24 24 48 0 0 0 253.846153846154 1.01857101160765
+0 0 0 0 0 24 24 56 0 0 0 338.461538461539 1.01732029130819
+0 0 0 0 0 24 24 64 0 0 0 423.076923076923 1.01597850949553
+0 0 0 0 0 24 24 72 0 0 0 507.692307692308 1.01464185210732
+0 0 0 0 0 24 24 80 0 0 0 592.307692307692 1.01337434606597
+0 0 0 0 0 24 24 88 0 0 0 676.923076923077 1.01221034872541
+0 0 0 0 0 24 24 96 0 0 0 761.538461538462 1.01116344271757
+0 0 0 0 0 24 24 104 0 0 0 846.153846153846 1.01023395283803
+0 0 0 0 0 24 24 112 0 0 0 930.769230769231 1.00941461590367
+0 0 0 0 0 24 24 120 0 0 0 1015.38461538462 1.00869483055618
+0 0 0 0 0 24 24 128 0 0 0 1100 1.0080627851157
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+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 1.00421334648009
+0 0 0 0 0 24 24 232 0 0 0 2200 1.00405104893667
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 1.02000193918476
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 1.02029641693505
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+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 1.00725445252533
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.0204018487379
+0 0 2 0 0 24 24 20 0 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.02047789124297
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+0 0 2 0 0 24 24 26 0 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.02052374357434
+0 0 2 0 0 24 24 28 0 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.02047789124297
+0 0 2 0 0 24 24 30 0 7.105427357601e-15 7.105427357601e-15 63.4615384615385 1.0204018487379
+0 0 2 0 0 24 24 32 0 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.02029641693505
+0 0 2 0 0 24 24 34 0 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.02016267502063
+0 0 2 0 0 24 24 36 0 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.02000193918476
+0 0 2 0 0 24 24 38 0 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.01981576358925
+0 0 2 0 0 24 24 40 0 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.01960605224309
+0 0 2 0 0 24 24 42 0 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.01937494147213
+0 0 2 0 0 24 24 44 0 7.105427357601e-15 7.105427357601e-15 211.538461538462 1.01912384749715
+0 0 2 0 0 24 24 46 0 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.01885488535482
+0 0 2 0 0 24 24 48 0 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.01857101160765
+0 0 2 0 0 24 24 50 0 7.105427357601e-15 7.105427357601e-15 275 1.01827301031043
+0 0 2 0 0 24 24 52 0 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.01796438337812
+0 0 2 0 0 24 24 54 0 7.105427357601e-15 7.105427357601e-15 317.307692307692 1.01764576019633
+0 0 2 0 0 24 24 56 0 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.01732029130819
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+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.0166537631369
+0 0 2 0 0 24 24 62 0 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.01631653374398
+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.01597850949553
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.01564086558789
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.01530476537934
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.01497152088152
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.01464185210732
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.01431674486978
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 1.013996707195
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.01368246223245
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.01337434606597
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.01307288239855
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 1.02000190582673
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 1.02029650218007
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+4 0 1 0 0 24 24 36 15.8653846153846 0 0 126.923076923077 1.02000190582673
+4 0 1 0 0 24 24 40 15.8653846153846 0 0 169.230769230769 1.01960604288395
+4 0 1 0 0 24 24 44 15.8653846153846 0 0 211.538461538462 1.01912382658015
+4 0 1 0 0 24 24 48 15.8653846153846 0 0 253.846153846154 1.01857099798557
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+4 0 1 0 0 24 24 92 15.8653846153846 0 0 719.230769230769 1.01167201049925
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+4 0 1 0 0 24 24 100 15.8653846153846 0 0 803.846153846154 1.01068440073091
+4 0 1 0 0 24 24 104 15.8653846153846 0 0 846.153846153846 1.01023395132451
+4 0 1 0 0 24 24 108 15.8653846153846 0 0 888.461538461538 1.00981117584912
+4 0 1 0 0 24 24 112 15.8653846153846 0 0 930.769230769231 1.00941461230867
+4 0 1 0 0 24 24 116 15.8653846153846 0 0 973.076923076923 1.00904301596833
+4 0 1 0 0 24 24 120 15.8653846153846 0 0 1015.38461538462 1.00869482819017
+4 0 1 0 0 24 24 124 15.8653846153846 0 0 1057.69230769231 1.00836855216216
+4 0 1 0 0 24 24 128 15.8653846153846 0 0 1100 1.00806278226117
+4 0 1 0 0 24 24 132 15.8653846153846 0 0 1142.30769230769 1.00777604402561
+4 0 1 0 0 24 24 136 15.8653846153846 0 0 1184.61538461538 1.00750706527879
+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 1.00725445058788
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 24 18 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.02040196224827
+4 0 2 0 0 24 24 20 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.0204779476003
+4 0 2 0 0 24 24 22 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.02052368968278
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+4 0 2 0 0 24 24 26 15.8653846153846 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.02052368968278
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+4 0 2 0 0 24 24 50 15.8653846153846 7.105427357601e-15 7.105427357601e-15 275 1.01827303103994
+4 0 2 0 0 24 24 52 15.8653846153846 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.01796437252778
+4 0 2 0 0 24 24 54 15.8653846153846 7.105427357601e-15 7.105427357601e-15 317.307692307692 1.01764577357953
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+4 0 2 0 0 24 24 60 15.8653846153846 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.01665375935663
+4 0 2 0 0 24 24 62 15.8653846153846 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.01631652043687
+4 0 2 0 0 24 24 64 15.8653846153846 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.01597850947619
+4 0 2 0 0 24 24 66 15.8653846153846 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.01564087009876
+4 0 2 0 0 24 24 68 15.8653846153846 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.01530477262851
+4 0 2 0 0 24 24 70 15.8653846153846 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.01497152331186
+4 0 2 0 0 24 24 72 15.8653846153846 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.01464184880339
+4 0 2 0 0 24 24 74 15.8653846153846 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.01431674050345
+4 0 2 0 0 24 24 76 15.8653846153846 7.105427357601e-15 7.105427357601e-15 550 1.01399670380828
+4 0 2 0 0 24 24 78 15.8653846153846 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.01368246152118
+4 0 2 0 0 24 24 80 15.8653846153846 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.01337434846686
+4 0 2 0 0 24 24 82 15.8653846153846 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.01307288756185
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 24 0 31.7307692307692 0 0 -253.846153846154 1.01857080554194
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+8 0 0 0 0 24 24 48 31.7307692307692 0 0 253.846153846154 1.01857080554194
+8 0 0 0 0 24 24 56 31.7307692307692 0 0 338.461538461539 1.01732015597358
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+8 0 0 0 0 24 24 72 31.7307692307692 0 0 507.692307692308 1.0146418491885
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+8 0 0 0 0 24 24 88 31.7307692307692 0 0 676.923076923077 1.01221034664908
+8 0 0 0 0 24 24 96 31.7307692307692 0 0 761.538461538462 1.01116343982431
+8 0 0 0 0 24 24 104 31.7307692307692 0 0 846.153846153846 1.01023394974832
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+8 0 0 0 0 24 24 152 31.7307692307692 0 0 1353.84615384615 1.00658358878784
+8 0 0 0 0 24 24 160 31.7307692307692 0 0 1438.46153846154 1.0061984122964
+8 0 0 0 0 24 24 168 31.7307692307692 0 0 1523.07692307692 1.00585464264289
+8 0 0 0 0 24 24 176 31.7307692307692 0 0 1607.69230769231 1.00554639609338
+8 0 0 0 0 24 24 184 31.7307692307692 0 0 1692.30769230769 1.00526870564926
+8 0 0 0 0 24 24 192 31.7307692307692 0 0 1776.92307692308 1.00501738727482
+8 0 0 0 0 24 24 200 31.7307692307692 0 0 1861.53846153846 1.00478892179407
+8 0 0 0 0 24 24 208 31.7307692307692 0 0 1946.15384615385 1.0045803512477
+8 0 0 0 0 24 24 216 31.7307692307692 0 0 2030.76923076923 1.00438918992629
+8 0 0 0 0 24 24 224 31.7307692307692 0 0 2115.38461538462 1.00421334679334
+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 1.00405096296685
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 24 12 31.7307692307692 0 0 -126.923076923077 1.0200019326255
+8 0 1 0 0 24 24 16 31.7307692307692 0 0 -84.6153846153846 1.02029658468121
+8 0 1 0 0 24 24 20 31.7307692307692 0 0 -42.3076923076923 1.02047802510397
+8 0 1 0 0 24 24 24 31.7307692307692 0 0 0 1.02053894530132
+8 0 1 0 0 24 24 28 31.7307692307692 0 0 42.3076923076923 1.02047802510397
+8 0 1 0 0 24 24 32 31.7307692307692 0 0 84.6153846153846 1.02029658468121
+8 0 1 0 0 24 24 36 31.7307692307692 0 0 126.923076923077 1.0200019326255
+8 0 1 0 0 24 24 40 31.7307692307692 0 0 169.230769230769 1.01960607834471
+8 0 1 0 0 24 24 44 31.7307692307692 0 0 211.538461538462 1.01912366484505
+8 0 1 0 0 24 24 48 31.7307692307692 0 0 253.846153846154 1.01857080554194
+8 0 1 0 0 24 24 52 31.7307692307692 0 0 296.153846153846 1.01796416350505
+8 0 1 0 0 24 24 56 31.7307692307692 0 0 338.461538461538 1.01732015597358
+8 0 1 0 0 24 24 60 31.7307692307692 0 0 380.769230769231 1.01665384894489
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+8 0 1 0 0 24 24 76 31.7307692307692 0 0 550 1.01399670041229
+8 0 1 0 0 24 24 80 31.7307692307692 0 0 592.307692307692 1.0133743575849
+8 0 1 0 0 24 24 84 31.7307692307692 0 0 634.615384615385 1.0127782339517
+8 0 1 0 0 24 24 88 31.7307692307692 0 0 676.923076923077 1.01221034664908
+8 0 1 0 0 24 24 92 31.7307692307692 0 0 719.230769230769 1.01167200165455
+8 0 1 0 0 24 24 96 31.7307692307692 0 0 761.538461538462 1.01116343982431
+8 0 1 0 0 24 24 100 31.7307692307692 0 0 803.846153846154 1.01068439504687
+8 0 1 0 0 24 24 104 31.7307692307692 0 0 846.153846153846 1.01023394974832
+8 0 1 0 0 24 24 108 31.7307692307692 0 0 888.461538461538 1.00981117031597
+8 0 1 0 0 24 24 112 31.7307692307692 0 0 930.769230769231 1.00941460148727
+8 0 1 0 0 24 24 116 31.7307692307692 0 0 973.076923076923 1.00904300636639
+8 0 1 0 0 24 24 120 31.7307692307692 0 0 1015.38461538462 1.00869482107259
+8 0 1 0 0 24 24 124 31.7307692307692 0 0 1057.69230769231 1.00836854441021
+8 0 1 0 0 24 24 128 31.7307692307692 0 0 1100 1.00806277368716
+8 0 1 0 0 24 24 132 31.7307692307692 0 0 1142.30769230769 1.00777603639418
+8 0 1 0 0 24 24 136 31.7307692307692 0 0 1184.61538461538 1.00750705889858
+8 0 1 0 0 24 24 140 31.7307692307692 0 0 1226.92307692308 1.00725444477156
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 24 18 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.02040197639417
+8 0 2 0 0 24 24 20 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.02047802510397
+8 0 2 0 0 24 24 22 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.02052351868432
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+8 0 2 0 0 24 24 26 31.7307692307692 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.02052351868432
+8 0 2 0 0 24 24 28 31.7307692307692 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.02047802510397
+8 0 2 0 0 24 24 30 31.7307692307692 7.105427357601e-15 7.105427357601e-15 63.4615384615385 1.02040197639417
+8 0 2 0 0 24 24 32 31.7307692307692 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.02029658468121
+8 0 2 0 0 24 24 34 31.7307692307692 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.0201628081649
+8 0 2 0 0 24 24 36 31.7307692307692 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.0200019326255
+8 0 2 0 0 24 24 38 31.7307692307692 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.01981561143732
+8 0 2 0 0 24 24 40 31.7307692307692 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.01960607834471
+8 0 2 0 0 24 24 42 31.7307692307692 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.01937499247673
+8 0 2 0 0 24 24 44 31.7307692307692 7.105427357601e-15 7.105427357601e-15 211.538461538462 1.01912366484505
+8 0 2 0 0 24 24 46 31.7307692307692 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.01885510965083
+8 0 2 0 0 24 24 48 31.7307692307692 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.01857080554194
+8 0 2 0 0 24 24 50 31.7307692307692 7.105427357601e-15 7.105427357601e-15 275 1.01827321902071
+8 0 2 0 0 24 24 52 31.7307692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.01796416350505
+8 0 2 0 0 24 24 54 31.7307692307692 7.105427357601e-15 7.105427357601e-15 317.307692307692 1.01764599333881
+8 0 2 0 0 24 24 56 31.7307692307692 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.01732015597358
+8 0 2 0 0 24 24 58 31.7307692307692 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.01698902728932
+8 0 2 0 0 24 24 60 31.7307692307692 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.01665384894489
+8 0 2 0 0 24 24 62 31.7307692307692 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.01631650009707
+8 0 2 0 0 24 24 64 31.7307692307692 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.01597845137363
+8 0 2 0 0 24 24 66 31.7307692307692 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.01564084793851
+8 0 2 0 0 24 24 68 31.7307692307692 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.01530480129344
+8 0 2 0 0 24 24 70 31.7307692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.01497154348755
+8 0 2 0 0 24 24 72 31.7307692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.0146418491885
+8 0 2 0 0 24 24 74 31.7307692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.01431673644894
+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 1.01399670041229
+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.01368246476999
+8 0 2 0 0 24 24 80 31.7307692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.0133743575849
+8 0 2 0 0 24 24 82 31.7307692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.01307289223561
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 24 12 47.5961538461538 0 0 -126.923076923077 1.02000183355712
+12 0 1 0 0 24 24 16 47.5961538461538 0 0 -84.6153846153846 1.02029652882347
+12 0 1 0 0 24 24 20 47.5961538461538 0 0 -42.3076923076923 1.02047791547022
+12 0 1 0 0 24 24 24 47.5961538461538 0 0 0 1.02053891298279
+12 0 1 0 0 24 24 28 47.5961538461538 0 0 42.3076923076923 1.02047791547022
+12 0 1 0 0 24 24 32 47.5961538461538 0 0 84.6153846153846 1.02029652882347
+12 0 1 0 0 24 24 36 47.5961538461538 0 0 126.923076923077 1.02000183355712
+12 0 1 0 0 24 24 40 47.5961538461538 0 0 169.230769230769 1.01960607461289
+12 0 1 0 0 24 24 44 47.5961538461538 0 0 211.538461538462 1.01912374730977
+12 0 1 0 0 24 24 48 47.5961538461538 0 0 253.846153846154 1.0185710740684
+12 0 1 0 0 24 24 52 47.5961538461538 0 0 296.153846153846 1.01796440236063
+12 0 1 0 0 24 24 56 47.5961538461538 0 0 338.461538461538 1.01732011539991
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+12 0 1 0 0 24 24 68 47.5961538461538 0 0 465.384615384615 1.01530483955368
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+12 0 1 0 0 24 24 76 47.5961538461538 0 0 550 1.01399668818259
+12 0 1 0 0 24 24 80 47.5961538461538 0 0 592.307692307692 1.01337437087815
+12 0 1 0 0 24 24 84 47.5961538461538 0 0 634.615384615385 1.012778221939
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+12 0 1 0 0 24 24 104 47.5961538461538 0 0 846.153846153846 1.01023394418467
+12 0 1 0 0 24 24 108 47.5961538461538 0 0 888.461538461538 1.00981115888414
+12 0 1 0 0 24 24 112 47.5961538461538 0 0 930.769230769231 1.00941459029754
+12 0 1 0 0 24 24 116 47.5961538461538 0 0 973.076923076923 1.00904299348618
+12 0 1 0 0 24 24 120 47.5961538461538 0 0 1015.38461538462 1.00869480670838
+12 0 1 0 0 24 24 124 47.5961538461538 0 0 1057.69230769231 1.00836853078846
+12 0 1 0 0 24 24 128 47.5961538461538 0 0 1100 1.00806276133403
+12 0 1 0 0 24 24 132 47.5961538461538 0 0 1142.30769230769 1.0077760245229
+12 0 1 0 0 24 24 136 47.5961538461538 0 0 1184.61538461538 1.00750704758654
+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 1.00725443473058
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 24 18 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.02040183851949
+12 0 2 0 0 24 24 20 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.02047791547022
+12 0 2 0 0 24 24 22 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.02052359954489
+12 0 2 0 0 24 24 24 47.5961538461538 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053891298279
+12 0 2 0 0 24 24 26 47.5961538461538 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.02052359954489
+12 0 2 0 0 24 24 28 47.5961538461538 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.02047791547022
+12 0 2 0 0 24 24 30 47.5961538461538 7.105427357601e-15 7.105427357601e-15 63.4615384615385 1.02040183851949
+12 0 2 0 0 24 24 32 47.5961538461538 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.02029652882347
+12 0 2 0 0 24 24 34 47.5961538461538 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.02016279122552
+12 0 2 0 0 24 24 36 47.5961538461538 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.02000183355712
+12 0 2 0 0 24 24 38 47.5961538461538 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.01981576321484
+12 0 2 0 0 24 24 40 47.5961538461538 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.01960607461289
+12 0 2 0 0 24 24 42 47.5961538461538 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.01937497990196
+12 0 2 0 0 24 24 44 47.5961538461538 7.105427357601e-15 7.105427357601e-15 211.538461538462 1.01912374730977
+12 0 2 0 0 24 24 46 47.5961538461538 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.01885490900101
+12 0 2 0 0 24 24 48 47.5961538461538 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.0185710740684
+12 0 2 0 0 24 24 50 47.5961538461538 7.105427357601e-15 7.105427357601e-15 275 1.01827293484767
+12 0 2 0 0 24 24 52 47.5961538461538 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.01796440236063
+12 0 2 0 0 24 24 54 47.5961538461538 7.105427357601e-15 7.105427357601e-15 317.307692307692 1.01764587237815
+12 0 2 0 0 24 24 56 47.5961538461538 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.01732011539991
+12 0 2 0 0 24 24 58 47.5961538461538 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.01698909536686
+12 0 2 0 0 24 24 60 47.5961538461538 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.01665388829947
+12 0 2 0 0 24 24 62 47.5961538461538 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.01631645199758
+12 0 2 0 0 24 24 64 47.5961538461538 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.01597838095918
+12 0 2 0 0 24 24 66 47.5961538461538 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.01564082798608
+12 0 2 0 0 24 24 68 47.5961538461538 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.01530483955368
+12 0 2 0 0 24 24 70 47.5961538461538 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.01497156502576
+12 0 2 0 0 24 24 72 47.5961538461538 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.0146418400577
+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.01431672121259
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 1.01399668818259
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.01368246669424
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.01337437087815
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.01307289366035
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 24 24 0 63.4615384615385 0 0 -253.846153846154 1.01857100977358
+16 0 0 0 0 24 24 8 63.4615384615385 0 0 -169.230769230769 1.01960607876512
+16 0 0 0 0 24 24 16 63.4615384615385 0 0 -84.6153846153846 1.02029648631004
+16 0 0 0 0 24 24 24 63.4615384615385 0 0 0 1.02053889000137
+16 0 0 0 0 24 24 32 63.4615384615385 0 0 84.6153846153846 1.02029648631004
+16 0 0 0 0 24 24 40 63.4615384615385 0 0 169.230769230769 1.01960607876512
+16 0 0 0 0 24 24 48 63.4615384615385 0 0 253.846153846154 1.01857100977358
+16 0 0 0 0 24 24 56 63.4615384615385 0 0 338.461538461539 1.01732032852982
+16 0 0 0 0 24 24 64 63.4615384615385 0 0 423.076923076923 1.01597841499936
+16 0 0 0 0 24 24 72 63.4615384615385 0 0 507.692307692308 1.01464182022911
+16 0 0 0 0 24 24 80 63.4615384615385 0 0 592.307692307692 1.01337436565112
+16 0 0 0 0 24 24 88 63.4615384615385 0 0 676.923076923077 1.01221031858263
+16 0 0 0 0 24 24 96 63.4615384615385 0 0 761.538461538462 1.01116342252477
+16 0 0 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 1.01023392705917
+16 0 0 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 1.00941457645346
+16 0 0 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 1.00869478592924
+16 0 0 0 0 24 24 128 63.4615384615385 0 0 1100 1.00806274455499
+16 0 0 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 1.00750703156818
+16 0 0 0 0 24 24 144 63.4615384615385 0 0 1269.23076923077 1.00701708342699
+16 0 0 0 0 24 24 152 63.4615384615385 0 0 1353.84615384615 1.00658357204923
+16 0 0 0 0 24 24 160 63.4615384615385 0 0 1438.46153846154 1.00619839877875
+16 0 0 0 0 24 24 168 63.4615384615385 0 0 1523.07692307692 1.00585463162641
+16 0 0 0 0 24 24 176 63.4615384615385 0 0 1607.69230769231 1.00554638720291
+16 0 0 0 0 24 24 184 63.4615384615385 0 0 1692.30769230769 1.00526869836603
+16 0 0 0 0 24 24 192 63.4615384615385 0 0 1776.92307692308 1.00501738131814
+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 1.00478891689609
+16 0 0 0 0 24 24 208 63.4615384615385 0 0 1946.15384615385 1.00458034711499
+16 0 0 0 0 24 24 216 63.4615384615385 0 0 2030.76923076923 1.00438918768821
+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 1.00421334736244
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 1.00405093847858
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 1.020001819824
+16 0 1 0 0 24 24 16 63.4615384615385 0 0 -84.6153846153846 1.02029648631004
+16 0 1 0 0 24 24 20 63.4615384615385 0 0 -42.3076923076923 1.02047785648051
+16 0 1 0 0 24 24 24 63.4615384615385 0 0 0 1.02053889000137
+16 0 1 0 0 24 24 28 63.4615384615385 0 0 42.3076923076923 1.02047785648051
+16 0 1 0 0 24 24 32 63.4615384615385 0 0 84.6153846153846 1.02029648631004
+16 0 1 0 0 24 24 36 63.4615384615385 0 0 126.923076923077 1.020001819824
+16 0 1 0 0 24 24 40 63.4615384615385 0 0 169.230769230769 1.01960607876512
+16 0 1 0 0 24 24 44 63.4615384615385 0 0 211.538461538462 1.01912384668371
+16 0 1 0 0 24 24 48 63.4615384615385 0 0 253.846153846154 1.01857100977358
+16 0 1 0 0 24 24 52 63.4615384615385 0 0 296.153846153846 1.01796444240742
+16 0 1 0 0 24 24 56 63.4615384615385 0 0 338.461538461538 1.01732032852982
+16 0 1 0 0 24 24 60 63.4615384615385 0 0 380.769230769231 1.01665377827369
+16 0 1 0 0 24 24 64 63.4615384615385 0 0 423.076923076923 1.01597841499936
+16 0 1 0 0 24 24 68 63.4615384615385 0 0 465.384615384615 1.01530484375326
+16 0 1 0 0 24 24 72 63.4615384615385 0 0 507.692307692308 1.01464182022911
+16 0 1 0 0 24 24 76 63.4615384615385 0 0 550 1.01399665891685
+16 0 1 0 0 24 24 80 63.4615384615385 0 0 592.307692307692 1.01337436565112
+16 0 1 0 0 24 24 84 63.4615384615385 0 0 634.615384615385 1.01277821464853
+16 0 1 0 0 24 24 88 63.4615384615385 0 0 676.923076923077 1.01221031858263
+16 0 1 0 0 24 24 92 63.4615384615385 0 0 719.230769230769 1.01167202658147
+16 0 1 0 0 24 24 96 63.4615384615385 0 0 761.538461538462 1.01116342252477
+16 0 1 0 0 24 24 100 63.4615384615385 0 0 803.846153846154 1.01068437211587
+16 0 1 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 1.01023392705917
+16 0 1 0 0 24 24 108 63.4615384615385 0 0 888.461538461538 1.00981114675028
+16 0 1 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 1.00941457645346
+16 0 1 0 0 24 24 116 63.4615384615385 0 0 973.076923076923 1.00904297575402
+16 0 1 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 1.00869478592924
+16 0 1 0 0 24 24 124 63.4615384615385 0 0 1057.69230769231 1.00836851152926
+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 1.00806274455499
+16 0 1 0 0 24 24 132 63.4615384615385 0 0 1142.30769230769 1.00777600812835
+16 0 1 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 1.00750703156818
+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 1.00725442058022
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 24 18 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.0204019151969
+16 0 2 0 0 24 24 20 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.02047785648051
+16 0 2 0 0 24 24 22 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.02052370727191
+16 0 2 0 0 24 24 24 63.4615384615385 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053889000137
+16 0 2 0 0 24 24 26 63.4615384615385 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.02052370727191
+16 0 2 0 0 24 24 28 63.4615384615385 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.02047785648051
+16 0 2 0 0 24 24 30 63.4615384615385 7.105427357601e-15 7.105427357601e-15 63.4615384615385 1.0204019151969
+16 0 2 0 0 24 24 32 63.4615384615385 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.02029648631004
+16 0 2 0 0 24 24 34 63.4615384615385 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.02016265171597
+16 0 2 0 0 24 24 36 63.4615384615385 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.020001819824
+16 0 2 0 0 24 24 38 63.4615384615385 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.01981572230124
+16 0 2 0 0 24 24 40 63.4615384615385 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.01960607876512
+16 0 2 0 0 24 24 42 63.4615384615385 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.01937496023612
+16 0 2 0 0 24 24 44 63.4615384615385 7.105427357601e-15 7.105427357601e-15 211.538461538462 1.01912384668371
+16 0 2 0 0 24 24 46 63.4615384615385 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.01885485142032
+16 0 2 0 0 24 24 48 63.4615384615385 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.01857100977358
+16 0 2 0 0 24 24 50 63.4615384615385 7.105427357601e-15 7.105427357601e-15 275 1.01827302403964
+16 0 2 0 0 24 24 52 63.4615384615385 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.01796444240742
+16 0 2 0 0 24 24 54 63.4615384615385 7.105427357601e-15 7.105427357601e-15 317.307692307692 1.01764566873148
+16 0 2 0 0 24 24 56 63.4615384615385 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.01732032852982
+16 0 2 0 0 24 24 58 63.4615384615385 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.01698911486026
+16 0 2 0 0 24 24 60 63.4615384615385 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.01665377827369
+16 0 2 0 0 24 24 62 63.4615384615385 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.01631646791768
+16 0 2 0 0 24 24 64 63.4615384615385 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.01597841499936
+16 0 2 0 0 24 24 66 63.4615384615385 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.01564085760063
+16 0 2 0 0 24 24 68 63.4615384615385 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.01530484375326
+16 0 2 0 0 24 24 70 63.4615384615385 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.0149715559355
+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.01464182022911
+16 0 2 0 0 24 24 74 63.4615384615385 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.01431669366019
+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 1.01399665891685
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.01368244899044
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.01337436565112
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.01307289025707
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 24 24 12 79.3269230769231 0 0 -126.923076923077 1.02000196016817
+20 0 1 0 0 24 24 16 79.3269230769231 0 0 -84.6153846153846 1.0202964422606
+20 0 1 0 0 24 24 20 79.3269230769231 0 0 -42.3076923076923 1.02047793271006
+20 0 1 0 0 24 24 24 79.3269230769231 0 0 0 1.0205388697219
+20 0 1 0 0 24 24 28 79.3269230769231 0 0 42.3076923076923 1.02047793271006
+20 0 1 0 0 24 24 32 79.3269230769231 0 0 84.6153846153846 1.0202964422606
+20 0 1 0 0 24 24 36 79.3269230769231 0 0 126.923076923077 1.02000196016817
+20 0 1 0 0 24 24 40 79.3269230769231 0 0 169.230769230769 1.01960604498735
+20 0 1 0 0 24 24 44 79.3269230769231 0 0 211.538461538462 1.01912377658406
+20 0 1 0 0 24 24 48 79.3269230769231 0 0 253.846153846154 1.01857086206358
+20 0 1 0 0 24 24 52 79.3269230769231 0 0 296.153846153846 1.01796424250295
+20 0 1 0 0 24 24 56 79.3269230769231 0 0 338.461538461538 1.01732034049223
+20 0 1 0 0 24 24 60 79.3269230769231 0 0 380.769230769231 1.01665373326206
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+20 0 1 0 0 24 24 68 79.3269230769231 0 0 465.384615384615 1.01530481928186
+20 0 1 0 0 24 24 72 79.3269230769231 0 0 507.692307692308 1.01464180144124
+20 0 1 0 0 24 24 76 79.3269230769231 0 0 550 1.01399662606354
+20 0 1 0 0 24 24 80 79.3269230769231 0 0 592.307692307692 1.01337433166821
+20 0 1 0 0 24 24 84 79.3269230769231 0 0 634.615384615385 1.01277820782512
+20 0 1 0 0 24 24 88 79.3269230769231 0 0 676.923076923077 1.01221028067269
+20 0 1 0 0 24 24 92 79.3269230769231 0 0 719.230769230769 1.0116720507578
+20 0 1 0 0 24 24 96 79.3269230769231 0 0 761.538461538462 1.01116340498024
+20 0 1 0 0 24 24 100 79.3269230769231 0 0 803.846153846154 1.01068436292777
+20 0 1 0 0 24 24 104 79.3269230769231 0 0 846.153846153846 1.01023389711765
+20 0 1 0 0 24 24 108 79.3269230769231 0 0 888.461538461538 1.00981112353317
+20 0 1 0 0 24 24 112 79.3269230769231 0 0 930.769230769231 1.00941456248046
+20 0 1 0 0 24 24 116 79.3269230769231 0 0 973.076923076923 1.00904295709193
+20 0 1 0 0 24 24 120 79.3269230769231 0 0 1015.38461538462 1.00869476061461
+20 0 1 0 0 24 24 124 79.3269230769231 0 0 1057.69230769231 1.00836848710385
+20 0 1 0 0 24 24 128 79.3269230769231 0 0 1100 1.00806272270714
+20 0 1 0 0 24 24 132 79.3269230769231 0 0 1142.30769230769 1.0077759873372
+20 0 1 0 0 24 24 136 79.3269230769231 0 0 1184.61538461538 1.00750701190184
+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 1.00725440284918
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 24 24 18 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.02040194212887
+20 0 2 0 0 24 24 20 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.02047793271006
+20 0 2 0 0 24 24 22 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.0205236014659
+20 0 2 0 0 24 24 24 79.3269230769231 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.0205388697219
+20 0 2 0 0 24 24 26 79.3269230769231 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.0205236014659
+20 0 2 0 0 24 24 28 79.3269230769231 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.02047793271006
+20 0 2 0 0 24 24 30 79.3269230769231 7.105427357601e-15 7.105427357601e-15 63.4615384615385 1.02040194212887
+20 0 2 0 0 24 24 32 79.3269230769231 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.0202964422606
+20 0 2 0 0 24 24 34 79.3269230769231 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.0201626904136
+20 0 2 0 0 24 24 36 79.3269230769231 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.02000196016817
+20 0 2 0 0 24 24 38 79.3269230769231 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.01981556532444
+20 0 2 0 0 24 24 40 79.3269230769231 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.01960604498735
+20 0 2 0 0 24 24 42 79.3269230769231 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.01937497794161
+20 0 2 0 0 24 24 44 79.3269230769231 7.105427357601e-15 7.105427357601e-15 211.538461538462 1.01912377658406
+20 0 2 0 0 24 24 46 79.3269230769231 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.01885497969348
+20 0 2 0 0 24 24 48 79.3269230769231 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.01857086206358
+20 0 2 0 0 24 24 50 79.3269230769231 7.105427357601e-15 7.105427357601e-15 275 1.01827318264426
+20 0 2 0 0 24 24 52 79.3269230769231 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.01796424250295
+20 0 2 0 0 24 24 54 79.3269230769231 7.105427357601e-15 7.105427357601e-15 317.307692307692 1.01764583215258
+20 0 2 0 0 24 24 56 79.3269230769231 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.01732034049223
+20 0 2 0 0 24 24 58 79.3269230769231 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.01698905600317
+20 0 2 0 0 24 24 60 79.3269230769231 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.01665373326206
+20 0 2 0 0 24 24 62 79.3269230769231 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.01631650545301
+20 0 2 0 0 24 24 64 79.3269230769231 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.01597847131105
+20 0 2 0 0 24 24 66 79.3269230769231 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.01564087948153
+20 0 2 0 0 24 24 68 79.3269230769231 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.01530481928186
+20 0 2 0 0 24 24 70 79.3269230769231 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.01497153014257
+20 0 2 0 0 24 24 72 79.3269230769231 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.01464180144124
+20 0 2 0 0 24 24 74 79.3269230769231 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.01431666826346
+20 0 2 0 0 24 24 76 79.3269230769231 7.105427357601e-15 7.105427357601e-15 550 1.01399662606354
+20 0 2 0 0 24 24 78 79.3269230769231 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.01368241299496
+20 0 2 0 0 24 24 80 79.3269230769231 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.01337433166821
+20 0 2 0 0 24 24 82 79.3269230769231 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.01307287173094
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 3 0 0 24 24 21 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -31.7307692307692 1.02050456406476
+20 0 3 0 0 24 24 22 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.0205236014659
+20 0 3 0 0 24 24 23 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -10.5769230769231 1.0205350407539
+20 0 3 0 0 24 24 24 79.3269230769231 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.0205388697219
+20 0 3 0 0 24 24 25 79.3269230769231 7.105427357601e-15 7.105427357601e-15 10.5769230769231 1.0205350407539
+20 0 3 0 0 24 24 26 79.3269230769231 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.0205236014659
+20 0 3 0 0 24 24 27 79.3269230769231 7.105427357601e-15 7.105427357601e-15 31.7307692307692 1.02050456406476
+20 0 3 0 0 24 24 28 79.3269230769231 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.02047793271006
+20 0 3 0 0 24 24 29 79.3269230769231 7.105427357601e-15 7.105427357601e-15 52.8846153846154 1.02044367863379
+20 0 3 0 0 24 24 30 79.3269230769231 7.105427357601e-15 7.105427357601e-15 63.4615384615385 1.02040194212887
+20 0 3 0 0 24 24 31 79.3269230769231 7.105427357601e-15 7.105427357601e-15 74.0384615384616 1.02035280697657
+20 0 3 0 0 24 24 32 79.3269230769231 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.0202964422606
+20 0 3 0 0 24 24 33 79.3269230769231 7.105427357601e-15 7.105427357601e-15 95.1923076923077 1.02023300965027
+20 0 3 0 0 24 24 34 79.3269230769231 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.0201626904136
+20 0 3 0 0 24 24 35 79.3269230769231 7.105427357601e-15 7.105427357601e-15 116.346153846154 1.02008562615028
+20 0 3 0 0 24 24 36 79.3269230769231 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.02000196016817
+20 0 3 0 0 24 24 37 79.3269230769231 7.105427357601e-15 7.105427357601e-15 137.5 1.01991181140076
+20 0 3 0 0 24 24 38 79.3269230769231 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.01981556532444
+20 0 3 0 0 24 24 39 79.3269230769231 7.105427357601e-15 7.105427357601e-15 158.653846153846 1.01971358305883
+20 0 3 0 0 24 24 40 79.3269230769231 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.01960604498735
+20 0 3 0 0 24 24 41 79.3269230769231 7.105427357601e-15 7.105427357601e-15 179.807692307692 1.01949312460169
+20 0 3 0 0 24 24 42 79.3269230769231 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.01937497794161
+20 0 3 0 0 24 24 43 79.3269230769231 7.105427357601e-15 7.105427357601e-15 200.961538461539 1.01925174156258
+20 0 3 0 0 24 24 44 79.3269230769231 7.105427357601e-15 7.105427357601e-15 211.538461538462 1.01912377658406
+20 0 3 0 0 24 24 45 79.3269230769231 7.105427357601e-15 7.105427357601e-15 222.115384615385 1.01899143536863
+20 0 3 0 0 24 24 46 79.3269230769231 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.01885497969348
+20 0 3 0 0 24 24 47 79.3269230769231 7.105427357601e-15 7.105427357601e-15 243.269230769231 1.01871472600535
+20 0 3 0 0 24 24 48 79.3269230769231 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.01857086206358
+20 0 3 0 0 24 24 49 79.3269230769231 7.105427357601e-15 7.105427357601e-15 264.423076923077 1.01842357370886
+20 0 3 0 0 24 24 50 79.3269230769231 7.105427357601e-15 7.105427357601e-15 275 1.01827318264426
+20 0 3 0 0 24 24 51 79.3269230769231 7.105427357601e-15 7.105427357601e-15 285.576923076923 1.01812000821361
+20 0 3 0 0 24 24 52 79.3269230769231 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.01796424250295
+20 0 3 0 0 24 24 53 79.3269230769231 7.105427357601e-15 7.105427357601e-15 306.730769230769 1.01780607173269
+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 0 0 0 24 24 0 95.1923076923077 0 0 -253.846153846154 1.01857096381323
+24 0 0 0 0 24 24 8 95.1923076923077 0 0 -169.230769230769 1.01960600474809
+24 0 0 0 0 24 24 16 95.1923076923077 0 0 -84.6153846153846 1.02029643559134
+24 0 0 0 0 24 24 24 95.1923076923077 0 0 0 1.02053889752121
+24 0 0 0 0 24 24 32 95.1923076923077 0 0 84.6153846153846 1.02029643559134
+24 0 0 0 0 24 24 40 95.1923076923077 0 0 169.230769230769 1.01960600474809
+24 0 0 0 0 24 24 48 95.1923076923077 0 0 253.846153846154 1.01857096381323
+24 0 0 0 0 24 24 56 95.1923076923077 0 0 338.461538461539 1.01732020562926
+24 0 0 0 0 24 24 64 95.1923076923077 0 0 423.076923076923 1.01597847746771
+24 0 0 0 0 24 24 72 95.1923076923077 0 0 507.692307692308 1.01464179419394
+24 0 0 0 0 24 24 80 95.1923076923077 0 0 592.307692307692 1.0133742921493
+24 0 0 0 0 24 24 88 95.1923076923077 0 0 676.923076923077 1.01221027095492
+24 0 0 0 0 24 24 96 95.1923076923077 0 0 761.538461538462 1.01116340545682
+24 0 0 0 0 24 24 104 95.1923076923077 0 0 846.153846153846 1.01023385457073
+24 0 0 0 0 24 24 112 95.1923076923077 0 0 930.769230769231 1.00941454753675
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+24 0 0 0 0 24 24 128 95.1923076923077 0 0 1100 1.00806269600478
+24 0 0 0 0 24 24 136 95.1923076923077 0 0 1184.61538461538 1.00750698823475
+24 0 0 0 0 24 24 144 95.1923076923077 0 0 1269.23076923077 1.00701704859905
+24 0 0 0 0 24 24 152 95.1923076923077 0 0 1353.84615384615 1.00658354465442
+24 0 0 0 0 24 24 160 95.1923076923077 0 0 1438.46153846154 1.00619837537771
+24 0 0 0 0 24 24 168 95.1923076923077 0 0 1523.07692307692 1.00585461329187
+24 0 0 0 0 24 24 176 95.1923076923077 0 0 1607.69230769231 1.00554637221771
+24 0 0 0 0 24 24 184 95.1923076923077 0 0 1692.30769230769 1.00526868613159
+24 0 0 0 0 24 24 192 95.1923076923077 0 0 1776.92307692308 1.00501737130456
+24 0 0 0 0 24 24 200 95.1923076923077 0 0 1861.53846153846 1.00478890854565
+24 0 0 0 0 24 24 208 95.1923076923077 0 0 1946.15384615385 1.00458034031229
+24 0 0 0 0 24 24 216 95.1923076923077 0 0 2030.76923076923 1.00438918730255
+24 0 0 0 0 24 24 224 95.1923076923077 0 0 2115.38461538462 1.00421334510724
+24 0 0 0 0 24 24 232 95.1923076923077 0 0 2200 1.00405093333934
+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 1 0 0 24 24 12 95.1923076923077 0 0 -126.923076923077 1.02000187955557
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+24 0 1 0 0 24 24 140 95.1923076923077 0 0 1226.92307692308 1.00725438136122
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 2 0 0 24 24 82 95.1923076923077 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.01307283922687
+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 24 140 111.057692307692 0 0 1226.92307692308 1.00725435691763
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.01307281007968
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 24 24 21 111.057692307692 7.105427357601e-15 7.105427357601e-15 -31.7307692307692 1.02050464976726
+28 0 3 0 0 24 24 22 111.057692307692 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.02052372058585
+28 0 3 0 0 24 24 23 111.057692307692 7.105427357601e-15 7.105427357601e-15 -10.5769230769231 1.02053513997385
+28 0 3 0 0 24 24 24 111.057692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.02053894806339
+28 0 3 0 0 24 24 25 111.057692307692 7.105427357601e-15 7.105427357601e-15 10.5769230769231 1.02053513997385
+28 0 3 0 0 24 24 26 111.057692307692 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.02052372058585
+28 0 3 0 0 24 24 27 111.057692307692 7.105427357601e-15 7.105427357601e-15 31.7307692307692 1.02050464976726
+28 0 3 0 0 24 24 28 111.057692307692 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.02047797733744
+28 0 3 0 0 24 24 29 111.057692307692 7.105427357601e-15 7.105427357601e-15 52.8846153846154 1.02044369347535
+28 0 3 0 0 24 24 30 111.057692307692 7.105427357601e-15 7.105427357601e-15 63.4615384615385 1.02040192786483
+28 0 3 0 0 24 24 31 111.057692307692 7.105427357601e-15 7.105427357601e-15 74.0384615384616 1.02035280879132
+28 0 3 0 0 24 24 32 111.057692307692 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.02029651236546
+28 0 3 0 0 24 24 33 111.057692307692 7.105427357601e-15 7.105427357601e-15 95.1923076923077 1.02023309380023
+28 0 3 0 0 24 24 34 111.057692307692 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.0201626893049
+28 0 3 0 0 24 24 35 111.057692307692 7.105427357601e-15 7.105427357601e-15 116.346153846154 1.0200855154792
+28 0 3 0 0 24 24 36 111.057692307692 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.02000184760711
+28 0 3 0 0 24 24 37 111.057692307692 7.105427357601e-15 7.105427357601e-15 137.5 1.01991185306262
+28 0 3 0 0 24 24 38 111.057692307692 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.01981576106742
+28 0 3 0 0 24 24 39 111.057692307692 7.105427357601e-15 7.105427357601e-15 158.653846153846 1.01971375476864
+28 0 3 0 0 24 24 40 111.057692307692 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.01960610174643
+28 0 3 0 0 24 24 41 111.057692307692 7.105427357601e-15 7.105427357601e-15 179.807692307692 1.01949311348206
+28 0 3 0 0 24 24 42 111.057692307692 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.01937494748266
+28 0 3 0 0 24 24 43 111.057692307692 7.105427357601e-15 7.105427357601e-15 200.961538461539 1.01925172936862
+28 0 3 0 0 24 24 44 111.057692307692 7.105427357601e-15 7.105427357601e-15 211.538461538462 1.0191237772736
+28 0 3 0 0 24 24 45 111.057692307692 7.105427357601e-15 7.105427357601e-15 222.115384615385 1.0189914016342
+28 0 3 0 0 24 24 46 111.057692307692 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.01885493433568
+28 0 3 0 0 24 24 47 111.057692307692 7.105427357601e-15 7.105427357601e-15 243.269230769231 1.01871480851125
+28 0 3 0 0 24 24 48 111.057692307692 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.01857103012275
+28 0 3 0 0 24 24 49 111.057692307692 7.105427357601e-15 7.105427357601e-15 264.423076923077 1.01842353930702
+28 0 3 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 1.01827296653629
+28 0 3 0 0 24 24 51 111.057692307692 7.105427357601e-15 7.105427357601e-15 285.576923076923 1.01811996544024
+28 0 3 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.01796440525174
+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 1.01780620828509
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gzz_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gzz_maximum.xg
new file mode 100644
index 000000000..c7da4d40a
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gzz_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gzz
+"gzz v time
+0.0000000000000e+00 1.0205389671703e+00
+7.9326923076923e+00 1.0205389449137e+00
+1.5865384615385e+01 1.0205388965674e+00
+2.3798076923077e+01 1.0205389080900e+00
+3.1730769230769e+01 1.0205389453013e+00
+3.9663461538462e+01 1.0205389329430e+00
+4.7596153846154e+01 1.0205389129828e+00
+5.5528846153846e+01 1.0205389056386e+00
+6.3461538461538e+01 1.0205388900014e+00
+7.1394230769231e+01 1.0205388712775e+00
+7.5360576923077e+01 1.0205388671812e+00
+7.9326923076923e+01 1.0205388697219e+00
+8.3293269230769e+01 1.0205388767676e+00
+8.7259615384615e+01 1.0205388849485e+00
+9.1225961538462e+01 1.0205388918870e+00
+9.5192307692308e+01 1.0205388975212e+00
+9.9158653846154e+01 1.0205389038085e+00
+1.0312500000000e+02 1.0205389133695e+00
+1.0709134615385e+02 1.0205389280522e+00
+1.1105769230769e+02 1.0205389480634e+00
+1.1502403846154e+02 1.0205389718810e+00
+1.1899038461538e+02 1.0205389968829e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gzz_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gzz_minimum.xg
new file mode 100644
index 000000000..c430d26f3
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gzz_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gzz
+"gzz v time
+0.0000000000000e+00 1.0023373754491e+00
+7.9326923076923e+00 1.0092196270917e+00
+1.5865384615385e+01 1.0046788462189e+00
+2.3798076923077e+01 1.0092196316861e+00
+3.1730769230769e+01 1.0023373736405e+00
+3.9663461538462e+01 1.0092196361659e+00
+4.7596153846154e+01 1.0046788481857e+00
+5.5528846153846e+01 1.0092196424983e+00
+6.3461538461538e+01 1.0023373733962e+00
+7.1394230769231e+01 1.0092196511987e+00
+7.5360576923077e+01 1.0151321478002e+00
+7.9326923076923e+01 1.0046788521181e+00
+8.3293269230769e+01 1.0151321492232e+00
+8.7259615384615e+01 1.0092196617884e+00
+9.1225961538462e+01 1.0151321613643e+00
+9.5192307692308e+01 1.0023373736480e+00
+9.9158653846154e+01 1.0151321764951e+00
+1.0312500000000e+02 1.0092196761273e+00
+1.0709134615385e+02 1.0151321877364e+00
+1.1105769230769e+02 1.0046788580204e+00
+1.1502403846154e+02 1.0151321930833e+00
+1.1899038461538e+02 1.0092196933773e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gzz_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gzz_norm1.xg
new file mode 100644
index 000000000..597a26b97
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gzz_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gzz
+"gzz v time
+0.0000000000000e+00 1.0052425721081e+00
+7.9326923076923e+00 1.0148248546595e+00
+1.5865384615385e+01 1.0095143042778e+00
+2.3798076923077e+01 1.0148248558425e+00
+3.1730769230769e+01 1.0052425702610e+00
+3.9663461538462e+01 1.0148248581553e+00
+4.7596153846154e+01 1.0095143059152e+00
+5.5528846153846e+01 1.0148248617679e+00
+6.3461538461538e+01 1.0052425697889e+00
+7.1394230769231e+01 1.0148248666488e+00
+7.5360576923077e+01 1.0185084712336e+00
+7.9326923076923e+01 1.0095143095967e+00
+8.3293269230769e+01 1.0185084737329e+00
+8.7259615384615e+01 1.0148248737402e+00
+9.1225961538462e+01 1.0185084786327e+00
+9.5192307692308e+01 1.0052425698579e+00
+9.9158653846154e+01 1.0185084859682e+00
+1.0312500000000e+02 1.0148248837592e+00
+1.0709134615385e+02 1.0185084957411e+00
+1.1105769230769e+02 1.0095143165096e+00
+1.1502403846154e+02 1.0185085079217e+00
+1.1899038461538e+02 1.0148248967667e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/gzz_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/gzz_norm2.xg
new file mode 100644
index 000000000..a783c80b5
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/gzz_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::gzz
+"gzz v time
+0.0000000000000e+00 1.0052464489624e+00
+7.9326923076923e+00 1.0148278034361e+00
+1.5865384615385e+01 1.0095195647975e+00
+2.3798076923077e+01 1.0148278046163e+00
+3.1730769230769e+01 1.0052464471196e+00
+3.9663461538462e+01 1.0148278069236e+00
+4.7596153846154e+01 1.0095195664338e+00
+5.5528846153846e+01 1.0148278105281e+00
+6.3461538461538e+01 1.0052464466502e+00
+7.1394230769231e+01 1.0148278153990e+00
+7.5360576923077e+01 1.0185090306616e+00
+7.9326923076923e+01 1.0095195701141e+00
+8.3293269230769e+01 1.0185090331600e+00
+8.7259615384615e+01 1.0148278224834e+00
+9.1225961538462e+01 1.0185090380609e+00
+9.5192307692308e+01 1.0052464467228e+00
+9.9158653846154e+01 1.0185090453995e+00
+1.0312500000000e+02 1.0148278325016e+00
+1.0709134615385e+02 1.0185090551775e+00
+1.1105769230769e+02 1.0095195770374e+00
+1.1502403846154e+02 1.0185090673650e+00
+1.1899038461538e+02 1.0148278455151e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/ham.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/ham.x.asc
new file mode 100644
index 000000000..d5aaec5ef
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/ham.x.asc
@@ -0,0 +1,864 @@
+# ADMCONSTRAINTS::ham x (ham)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 -1.90602381389048e-09
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 -4.22821074445291e-09
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 -4.58005543051481e-09
+0 0 0 0 0 24 24 24 0 0 0 0 -5.98871333857443e-09
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 -4.58005543051481e-09
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 -4.22821074445291e-09
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 -1.90602381389048e-09
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 -1.45222437656843e-09
+0 0 0 0 0 64 24 24 0 423.076923076923 0 0 -5.36770103749479e-10
+0 0 0 0 0 72 24 24 0 507.692307692308 0 0 -6.3927961381156e-10
+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 -3.65908433450504e-10
+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 -2.52128422873254e-10
+0 0 0 0 0 96 24 24 0 761.538461538462 0 0 -2.79400416678083e-10
+0 0 0 0 0 104 24 24 0 846.153846153846 0 0 -1.4187735393677e-10
+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 -1.76023717177814e-10
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 -1.15940372367068e-10
+0 0 0 0 0 128 24 24 0 1100 0 0 -1.3810409586838e-10
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 -1.02693081557986e-10
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 -8.61256902390767e-11
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 -6.51295776883862e-11
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 -5.47720898464757e-11
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 -4.3112514717756e-11
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 -3.53647478237554e-11
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 -2.90476619025433e-11
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 -2.35999436329392e-11
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 -1.9283202685325e-11
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 -1.61055471097626e-11
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 -1.31184371821789e-11
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 -1.07445338551632e-11
+0 0 0 0 0 232 24 24 0 2200 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 -5.88957351071713e-10
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 3.13556522088678e-10
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 3.5406173235182e-11
+0 0 1 0 0 24 24 24 0 0 0 0 -3.166935808268e-09
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 3.5406173235182e-11
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 3.13556522088678e-10
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 -5.88957351071713e-10
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 -2.62412347160278e-09
+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 1.96609594073806e-10
+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 1.10425486533543e-09
+0 0 1 0 0 52 24 24 0 296.153846153846 0 0 9.09284702867089e-10
+0 0 1 0 0 56 24 24 0 338.461538461538 0 0 -3.66624062156686e-10
+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 -1.19695194706144e-09
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 4.69532909007913e-10
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 3.17334033765681e-10
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 -1.78758767658668e-10
+0 0 1 0 0 76 24 24 0 550 0 0 -1.78380522547654e-10
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 1.01208677334537e-10
+0 0 1 0 0 84 24 24 0 634.615384615385 0 0 2.64890374044456e-10
+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 -2.57186427270702e-10
+0 0 1 0 0 92 24 24 0 719.230769230769 0 0 6.61930623661896e-11
+0 0 1 0 0 96 24 24 0 761.538461538462 0 0 -2.09733045670277e-10
+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 9.35263541901705e-11
+0 0 1 0 0 104 24 24 0 846.153846153846 0 0 -7.35998308331137e-11
+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 2.33252303339942e-10
+0 0 1 0 0 112 24 24 0 930.769230769231 0 0 2.97729350690138e-10
+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 1.06361245025663e-10
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 3.29638480458074e-10
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 4.09813546364243e-11
+0 0 1 0 0 128 24 24 0 1100 0 0 1.96298277937801e-10
+0 0 1 0 0 132 24 24 0 1142.30769230769 0 0 -2.43896256459396e-11
+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 1.8503115036986e-10
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 5.68495561108282e-09
+0 0 2 0 0 20 24 24 0 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 4.0524116452077e-09
+0 0 2 0 0 22 24 24 0 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 -3.70674429520657e-09
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 -4.33553035543232e-09
+0 0 2 0 0 26 24 24 0 21.1538461538462 7.105427357601e-15 7.105427357601e-15 -3.70674429520657e-09
+0 0 2 0 0 28 24 24 0 42.3076923076923 7.105427357601e-15 7.105427357601e-15 4.0524116452077e-09
+0 0 2 0 0 30 24 24 0 63.4615384615385 7.105427357601e-15 7.105427357601e-15 5.68495561108282e-09
+0 0 2 0 0 32 24 24 0 84.6153846153846 7.105427357601e-15 7.105427357601e-15 4.43731866936844e-09
+0 0 2 0 0 34 24 24 0 105.769230769231 7.105427357601e-15 7.105427357601e-15 2.01014051626804e-09
+0 0 2 0 0 36 24 24 0 126.923076923077 7.105427357601e-15 7.105427357601e-15 -1.87800441502568e-09
+0 0 2 0 0 38 24 24 0 148.076923076923 7.105427357601e-15 7.105427357601e-15 -3.83668393204985e-09
+0 0 2 0 0 40 24 24 0 169.230769230769 7.105427357601e-15 7.105427357601e-15 -1.99382921043469e-09
+0 0 2 0 0 42 24 24 0 190.384615384615 7.105427357601e-15 7.105427357601e-15 3.51266840503898e-09
+0 0 2 0 0 44 24 24 0 211.538461538462 7.105427357601e-15 7.105427357601e-15 -9.54335645400745e-10
+0 0 2 0 0 46 24 24 0 232.692307692308 7.105427357601e-15 7.105427357601e-15 -2.91254651832295e-09
+0 0 2 0 0 48 24 24 0 253.846153846154 7.105427357601e-15 7.105427357601e-15 4.32967296191641e-09
+0 0 2 0 0 50 24 24 0 275 7.105427357601e-15 7.105427357601e-15 -4.31669495963957e-09
+0 0 2 0 0 52 24 24 0 296.153846153846 7.105427357601e-15 7.105427357601e-15 3.85590559862143e-09
+0 0 2 0 0 54 24 24 0 317.307692307692 7.105427357601e-15 7.105427357601e-15 -2.03633554474479e-09
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 82 24 24 47.5961538461538 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 0
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 39 24 24 111.057692307692 158.653846153846 7.105427357601e-15 7.105427357601e-15 -5.86629652080408e-09
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+28 0 3 0 0 47 24 24 111.057692307692 243.269230769231 7.105427357601e-15 7.105427357601e-15 2.50309948827378e-09
+28 0 3 0 0 48 24 24 111.057692307692 253.846153846154 7.105427357601e-15 7.105427357601e-15 8.92974215588877e-09
+28 0 3 0 0 49 24 24 111.057692307692 264.423076923077 7.105427357601e-15 7.105427357601e-15 6.21760505983383e-10
+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 -7.64221221676077e-09
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 9.49919989691073e-11
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 8.13216154209358e-09
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/ham.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/ham.y.asc
new file mode 100644
index 000000000..555ff9a3e
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/ham.y.asc
@@ -0,0 +1,864 @@
+# ADMCONSTRAINTS::ham y (ham)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 -1.90602381389048e-09
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 -4.22821074445291e-09
+0 0 0 0 0 24 16 24 0 0 -84.6153846153846 0 -4.58005543051481e-09
+0 0 0 0 0 24 24 24 0 0 0 0 -5.98871333857443e-09
+0 0 0 0 0 24 32 24 0 0 84.6153846153846 0 -4.58005543051481e-09
+0 0 0 0 0 24 40 24 0 0 169.230769230769 0 -4.22821074445291e-09
+0 0 0 0 0 24 48 24 0 0 253.846153846154 0 -1.90602381389048e-09
+0 0 0 0 0 24 56 24 0 0 338.461538461539 0 -1.45222437656843e-09
+0 0 0 0 0 24 64 24 0 0 423.076923076923 0 -5.36770103749479e-10
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+0 0 0 0 0 24 144 24 0 0 1269.23076923077 0 -8.61256902390767e-11
+0 0 0 0 0 24 152 24 0 0 1353.84615384615 0 -6.51295776883862e-11
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+0 0 0 0 0 24 176 24 0 0 1607.69230769231 0 -3.53647478237554e-11
+0 0 0 0 0 24 184 24 0 0 1692.30769230769 0 -2.90476619025433e-11
+0 0 0 0 0 24 192 24 0 0 1776.92307692308 0 -2.35999436329392e-11
+0 0 0 0 0 24 200 24 0 0 1861.53846153846 0 -1.9283202685325e-11
+0 0 0 0 0 24 208 24 0 0 1946.15384615385 0 -1.61055471097626e-11
+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 -1.31184371821789e-11
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 -1.07445338551632e-11
+0 0 0 0 0 24 232 24 0 0 2200 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 -5.88957351071713e-10
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 3.13556522088678e-10
+0 0 1 0 0 24 20 24 0 0 -42.3076923076923 0 3.5406173235182e-11
+0 0 1 0 0 24 24 24 0 0 0 0 -3.166935808268e-09
+0 0 1 0 0 24 28 24 0 0 42.3076923076923 0 3.5406173235182e-11
+0 0 1 0 0 24 32 24 0 0 84.6153846153846 0 3.13556522088678e-10
+0 0 1 0 0 24 36 24 0 0 126.923076923077 0 -5.88957351071713e-10
+0 0 1 0 0 24 40 24 0 0 169.230769230769 0 -2.62412347160278e-09
+0 0 1 0 0 24 44 24 0 0 211.538461538462 0 1.96609594073806e-10
+0 0 1 0 0 24 48 24 0 0 253.846153846154 0 1.10425486533543e-09
+0 0 1 0 0 24 52 24 0 0 296.153846153846 0 9.09284702866983e-10
+0 0 1 0 0 24 56 24 0 0 338.461538461538 0 -3.66624062156686e-10
+0 0 1 0 0 24 60 24 0 0 380.769230769231 0 -1.19695194706144e-09
+0 0 1 0 0 24 64 24 0 0 423.076923076923 0 4.69532909007913e-10
+0 0 1 0 0 24 68 24 0 0 465.384615384615 0 3.17334033765681e-10
+0 0 1 0 0 24 72 24 0 0 507.692307692308 0 -1.78758767658668e-10
+0 0 1 0 0 24 76 24 0 0 550 0 -1.78380522547654e-10
+0 0 1 0 0 24 80 24 0 0 592.307692307692 0 1.01208677334537e-10
+0 0 1 0 0 24 84 24 0 0 634.615384615385 0 2.64890374044456e-10
+0 0 1 0 0 24 88 24 0 0 676.923076923077 0 -2.57186427270682e-10
+0 0 1 0 0 24 92 24 0 0 719.230769230769 0 6.61930623661896e-11
+0 0 1 0 0 24 96 24 0 0 761.538461538462 0 -2.09733045670277e-10
+0 0 1 0 0 24 100 24 0 0 803.846153846154 0 9.35263541901705e-11
+0 0 1 0 0 24 104 24 0 0 846.153846153846 0 -7.35998308331137e-11
+0 0 1 0 0 24 108 24 0 0 888.461538461538 0 2.33252303339942e-10
+0 0 1 0 0 24 112 24 0 0 930.769230769231 0 2.97729350690138e-10
+0 0 1 0 0 24 116 24 0 0 973.076923076923 0 1.06361245025663e-10
+0 0 1 0 0 24 120 24 0 0 1015.38461538462 0 3.29638480458074e-10
+0 0 1 0 0 24 124 24 0 0 1057.69230769231 0 4.09813546364243e-11
+0 0 1 0 0 24 128 24 0 0 1100 0 1.96298277937801e-10
+0 0 1 0 0 24 132 24 0 0 1142.30769230769 0 -2.43896256459396e-11
+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 1.8503115036986e-10
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 18 24 0 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 5.68495561108282e-09
+0 0 2 0 0 24 20 24 0 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 4.0524116452077e-09
+0 0 2 0 0 24 22 24 0 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 -3.70674429520657e-09
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 -4.33553035543232e-09
+0 0 2 0 0 24 26 24 0 7.105427357601e-15 21.1538461538462 7.105427357601e-15 -3.70674429520657e-09
+0 0 2 0 0 24 28 24 0 7.105427357601e-15 42.3076923076923 7.105427357601e-15 4.0524116452077e-09
+0 0 2 0 0 24 30 24 0 7.105427357601e-15 63.4615384615385 7.105427357601e-15 5.68495561108282e-09
+0 0 2 0 0 24 32 24 0 7.105427357601e-15 84.6153846153846 7.105427357601e-15 4.43731866936844e-09
+0 0 2 0 0 24 34 24 0 7.105427357601e-15 105.769230769231 7.105427357601e-15 2.01014051626804e-09
+0 0 2 0 0 24 36 24 0 7.105427357601e-15 126.923076923077 7.105427357601e-15 -1.87800441502568e-09
+0 0 2 0 0 24 38 24 0 7.105427357601e-15 148.076923076923 7.105427357601e-15 -3.83668393204985e-09
+0 0 2 0 0 24 40 24 0 7.105427357601e-15 169.230769230769 7.105427357601e-15 -1.99382921043469e-09
+0 0 2 0 0 24 42 24 0 7.105427357601e-15 190.384615384615 7.105427357601e-15 3.51266840503898e-09
+0 0 2 0 0 24 44 24 0 7.105427357601e-15 211.538461538462 7.105427357601e-15 -9.54335645400745e-10
+0 0 2 0 0 24 46 24 0 7.105427357601e-15 232.692307692308 7.105427357601e-15 -2.91254651832295e-09
+0 0 2 0 0 24 48 24 0 7.105427357601e-15 253.846153846154 7.105427357601e-15 4.32967296191641e-09
+0 0 2 0 0 24 50 24 0 7.105427357601e-15 275 7.105427357601e-15 -4.31669495963957e-09
+0 0 2 0 0 24 52 24 0 7.105427357601e-15 296.153846153846 7.105427357601e-15 3.8559055986213e-09
+0 0 2 0 0 24 54 24 0 7.105427357601e-15 317.307692307692 7.105427357601e-15 -2.03633554474479e-09
+0 0 2 0 0 24 56 24 0 7.105427357601e-15 338.461538461538 7.105427357601e-15 -7.97936553905798e-11
+0 0 2 0 0 24 58 24 0 7.105427357601e-15 359.615384615385 7.105427357601e-15 1.78574729221906e-09
+0 0 2 0 0 24 60 24 0 7.105427357601e-15 380.769230769231 7.105427357601e-15 -1.34449147087885e-09
+0 0 2 0 0 24 62 24 0 7.105427357601e-15 401.923076923077 7.105427357601e-15 -8.05912450534005e-10
+0 0 2 0 0 24 64 24 0 7.105427357601e-15 423.076923076923 7.105427357601e-15 7.60748981788188e-11
+0 0 2 0 0 24 66 24 0 7.105427357601e-15 444.230769230769 7.105427357601e-15 1.80652069655311e-09
+0 0 2 0 0 24 68 24 0 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.21594901772594e-09
+0 0 2 0 0 24 70 24 0 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.24284918868241e-09
+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 2.78916571774608e-10
+0 0 2 0 0 24 74 24 0 7.105427357601e-15 528.846153846154 7.105427357601e-15 4.8902447422416e-10
+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 2.06469675508487e-10
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 6.63497840684846e-10
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 5.66062682054864e-10
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 -5.24766856339548e-10
+4 0 1 0 0 24 16 24 15.8653846153846 0 -84.6153846153846 0 6.87269410202685e-10
+4 0 1 0 0 24 20 24 15.8653846153846 0 -42.3076923076923 0 3.47928165351341e-10
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 -3.62381567388374e-09
+4 0 1 0 0 24 28 24 15.8653846153846 0 42.3076923076923 0 3.47928165351341e-10
+4 0 1 0 0 24 32 24 15.8653846153846 0 84.6153846153846 0 6.87269410202685e-10
+4 0 1 0 0 24 36 24 15.8653846153846 0 126.923076923077 0 -5.24766856339548e-10
+4 0 1 0 0 24 40 24 15.8653846153846 0 169.230769230769 0 -3.06058257731942e-09
+4 0 1 0 0 24 44 24 15.8653846153846 0 211.538461538462 0 5.54670719464956e-10
+4 0 1 0 0 24 48 24 15.8653846153846 0 253.846153846154 0 1.59094144764836e-09
+4 0 1 0 0 24 52 24 15.8653846153846 0 296.153846153846 0 1.2821296847531e-09
+4 0 1 0 0 24 56 24 15.8653846153846 0 338.461538461538 0 -4.82271447524823e-10
+4 0 1 0 0 24 60 24 15.8653846153846 0 380.769230769231 0 -1.35444541848441e-09
+4 0 1 0 0 24 64 24 15.8653846153846 0 423.076923076923 0 5.24608060086102e-10
+4 0 1 0 0 24 68 24 15.8653846153846 0 465.384615384615 0 4.2110095823177e-10
+4 0 1 0 0 24 72 24 15.8653846153846 0 507.692307692308 0 -1.63764360475085e-10
+4 0 1 0 0 24 76 24 15.8653846153846 0 550 0 -1.67158897196973e-10
+4 0 1 0 0 24 80 24 15.8653846153846 0 592.307692307692 0 1.52861675652599e-10
+4 0 1 0 0 24 84 24 15.8653846153846 0 634.615384615385 0 2.94049025554754e-10
+4 0 1 0 0 24 88 24 15.8653846153846 0 676.923076923077 0 -3.00602286824715e-10
+4 0 1 0 0 24 92 24 15.8653846153846 0 719.230769230769 0 1.00777759836544e-10
+4 0 1 0 0 24 96 24 15.8653846153846 0 761.538461538462 0 -2.33241763012576e-10
+4 0 1 0 0 24 100 24 15.8653846153846 0 803.846153846154 0 1.05950747372184e-10
+4 0 1 0 0 24 104 24 15.8653846153846 0 846.153846153846 0 -8.42332889181481e-11
+4 0 1 0 0 24 108 24 15.8653846153846 0 888.461538461538 0 2.33304892435042e-10
+4 0 1 0 0 24 112 24 15.8653846153846 0 930.769230769231 0 2.9746999305684e-10
+4 0 1 0 0 24 116 24 15.8653846153846 0 973.076923076923 0 1.07591931035299e-10
+4 0 1 0 0 24 120 24 15.8653846153846 0 1015.38461538462 0 3.32442990912585e-10
+4 0 1 0 0 24 124 24 15.8653846153846 0 1057.69230769231 0 4.16208412105711e-11
+4 0 1 0 0 24 128 24 15.8653846153846 0 1100 0 1.94653493502215e-10
+4 0 1 0 0 24 132 24 15.8653846153846 0 1142.30769230769 0 -2.5512563263915e-11
+4 0 1 0 0 24 136 24 15.8653846153846 0 1184.61538461538 0 1.8466791389744e-10
+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 18 24 15.8653846153846 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 7.44690795115805e-09
+4 0 2 0 0 24 20 24 15.8653846153846 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 5.46300076510075e-09
+4 0 2 0 0 24 22 24 15.8653846153846 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 -4.43295264933404e-09
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 -6.48772055344766e-09
+4 0 2 0 0 24 26 24 15.8653846153846 7.105427357601e-15 21.1538461538462 7.105427357601e-15 -4.43295264933404e-09
+4 0 2 0 0 24 28 24 15.8653846153846 7.105427357601e-15 42.3076923076923 7.105427357601e-15 5.46300076510075e-09
+4 0 2 0 0 24 30 24 15.8653846153846 7.105427357601e-15 63.4615384615385 7.105427357601e-15 7.44690795115805e-09
+4 0 2 0 0 24 32 24 15.8653846153846 7.105427357601e-15 84.6153846153846 7.105427357601e-15 6.05187514687229e-09
+4 0 2 0 0 24 34 24 15.8653846153846 7.105427357601e-15 105.769230769231 7.105427357601e-15 2.83478103071051e-09
+4 0 2 0 0 24 36 24 15.8653846153846 7.105427357601e-15 126.923076923077 7.105427357601e-15 -2.37667861339163e-09
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 82 24 31.7307692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 82 24 47.5961538461538 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 24 82 24 63.4615384615385 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 140 24 79.3269230769231 0 1226.92307692308 0 0
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
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+
+# iteration 24
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 24 46 24 95.1923076923077 7.105427357601e-15 232.692307692308 7.105427357601e-15 -6.00930481425892e-09
+24 0 3 0 0 24 47 24 95.1923076923077 7.105427357601e-15 243.269230769231 7.105427357601e-15 2.32470185034833e-09
+24 0 3 0 0 24 48 24 95.1923076923077 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.01380850807296e-08
+24 0 3 0 0 24 49 24 95.1923076923077 7.105427357601e-15 264.423076923077 7.105427357601e-15 4.74683707432915e-10
+24 0 3 0 0 24 50 24 95.1923076923077 7.105427357601e-15 275 7.105427357601e-15 -9.25322739140086e-09
+24 0 3 0 0 24 51 24 95.1923076923077 7.105427357601e-15 285.576923076923 7.105427357601e-15 5.34858831220072e-10
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+24 0 3 0 0 24 53 24 95.1923076923077 7.105427357601e-15 306.730769230769 7.105427357601e-15 0
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 16 24 111.057692307692 0 -84.6153846153846 0 6.38284177434298e-10
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+28 0 1 0 0 24 128 24 111.057692307692 0 1100 0 1.79133700107302e-10
+28 0 1 0 0 24 132 24 111.057692307692 0 1142.30769230769 0 -4.00265211380439e-11
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+28 0 1 0 0 24 140 24 111.057692307692 0 1226.92307692308 0 0
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 24 18 24 111.057692307692 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 7.4942487976031e-09
+28 0 2 0 0 24 20 24 111.057692307692 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 5.23767998194e-09
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+28 0 2 0 0 24 70 24 111.057692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.23890300481937e-09
+28 0 2 0 0 24 72 24 111.057692307692 7.105427357601e-15 507.692307692308 7.105427357601e-15 2.65571118011968e-10
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+28 0 2 0 0 24 76 24 111.057692307692 7.105427357601e-15 550 7.105427357601e-15 2.0095029499056e-10
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+28 0 2 0 0 24 82 24 111.057692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 -7.64221223688998e-09
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 9.49919830517171e-11
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 8.13216156849165e-09
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/ham.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/ham.z.asc
new file mode 100644
index 000000000..27e4226c9
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/ham.z.asc
@@ -0,0 +1,864 @@
+# ADMCONSTRAINTS::ham z (ham)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 -1.90602381385273e-09
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 -4.22821074463185e-09
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 -4.58005543030062e-09
+0 0 0 0 0 24 24 24 0 0 0 0 -5.98871333857443e-09
+0 0 0 0 0 24 24 32 0 0 0 84.6153846153846 -4.58005543030062e-09
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+0 0 0 0 0 24 24 64 0 0 0 423.076923076923 -5.36770103583222e-10
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+0 0 0 0 0 24 24 88 0 0 0 676.923076923077 -2.5212842226785e-10
+0 0 0 0 0 24 24 96 0 0 0 761.538461538462 -2.79400416669103e-10
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+0 0 0 0 0 24 24 120 0 0 0 1015.38461538462 -1.15940371823074e-10
+0 0 0 0 0 24 24 128 0 0 0 1100 -1.38104095501374e-10
+0 0 0 0 0 24 24 136 0 0 0 1184.61538461538 -1.02693082168422e-10
+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 -8.61256894358337e-11
+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 -6.51295773170082e-11
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+0 0 0 0 0 24 24 184 0 0 0 1692.30769230769 -2.90476611627815e-11
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+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 2 0 0 24 24 82 15.8653846153846 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 0
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+28 0 1 0 0 24 24 140 111.057692307692 0 0 1226.92307692308 0
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 24 68 111.057692307692 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.07178740210339e-09
+28 0 2 0 0 24 24 70 111.057692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.23890300345737e-09
+28 0 2 0 0 24 24 72 111.057692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 2.65571126023616e-10
+28 0 2 0 0 24 24 74 111.057692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 4.46107376820322e-10
+28 0 2 0 0 24 24 76 111.057692307692 7.105427357601e-15 7.105427357601e-15 550 2.00950294835169e-10
+28 0 2 0 0 24 24 78 111.057692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 6.64366285180061e-10
+28 0 2 0 0 24 24 80 111.057692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 5.64975460893927e-10
+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 24 31 111.057692307692 7.105427357601e-15 7.105427357601e-15 74.0384615384616 1.39843649914153e-08
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+28 0 3 0 0 24 24 37 111.057692307692 7.105427357601e-15 7.105427357601e-15 137.5 -8.48777071914214e-09
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+28 0 3 0 0 24 24 41 111.057692307692 7.105427357601e-15 7.105427357601e-15 179.807692307692 4.81916683926465e-09
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+28 0 3 0 0 24 24 43 111.057692307692 7.105427357601e-15 7.105427357601e-15 200.961538461539 1.73007696805867e-09
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+28 0 3 0 0 24 24 45 111.057692307692 7.105427357601e-15 7.105427357601e-15 222.115384615385 -3.03338851562416e-09
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+28 0 3 0 0 24 24 47 111.057692307692 7.105427357601e-15 7.105427357601e-15 243.269230769231 2.50309961388823e-09
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+28 0 3 0 0 24 24 49 111.057692307692 7.105427357601e-15 7.105427357601e-15 264.423076923077 6.21760513530394e-10
+28 0 3 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 -7.64221221708529e-09
+28 0 3 0 0 24 24 51 111.057692307692 7.105427357601e-15 7.105427357601e-15 285.576923076923 9.49920184519768e-11
+28 0 3 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 8.13216157511924e-09
+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/ham_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/ham_maximum.xg
new file mode 100644
index 000000000..9422e2bf0
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/ham_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMCONSTRAINTS::ham
+"ham v time
+0.0000000000000e+00 4.8650572606958e-10
+7.9326923076923e+00 9.4950170489951e-09
+1.5865384615385e+01 1.7923521557839e-09
+2.3798076923077e+01 8.7828549757623e-09
+3.1730769230769e+01 5.2245787366967e-10
+3.9663461538462e+01 8.5091742349687e-09
+4.7596153846154e+01 1.7063335178490e-09
+5.5528846153846e+01 8.9742236990509e-09
+6.3461538461538e+01 5.6864796477368e-10
+7.1394230769231e+01 9.3764025770308e-09
+7.5360576923077e+01 1.8746146286217e-08
+7.9326923076923e+01 1.6670018479209e-09
+8.3293269230769e+01 2.0352691197238e-08
+8.7259615384615e+01 8.8691249833600e-09
+9.1225961538462e+01 1.9687257783613e-08
+9.5192307692308e+01 4.9089583923535e-10
+9.9158653846154e+01 1.7894204024453e-08
+1.0312500000000e+02 8.4996691563291e-09
+1.0709134615385e+02 1.8179586494707e-08
+1.1105769230769e+02 1.7507129847709e-09
+1.1502403846154e+02 1.9542702042018e-08
+1.1899038461538e+02 8.9562441975291e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/ham_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/ham_minimum.xg
new file mode 100644
index 000000000..9ec45eda3
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/ham_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMCONSTRAINTS::ham
+"ham v time
+0.0000000000000e+00 -5.9887133385744e-09
+7.9326923076923e+00 -9.7066477364511e-09
+1.5865384615385e+01 -3.6238156738837e-09
+2.3798076923077e+01 -9.9408395649684e-09
+3.1730769230769e+01 -5.8699468617497e-09
+3.9663461538462e+01 -9.3893016762738e-09
+4.7596153846154e+01 -3.3457616951586e-09
+5.5528846153846e+01 -9.0963933229814e-09
+6.3461538461538e+01 -5.9979363601085e-09
+7.1394230769231e+01 -1.0546303129448e-08
+7.5360576923077e+01 -1.8608195460919e-08
+7.9326923076923e+01 -3.1525467199038e-09
+8.3293269230769e+01 -1.9220512423778e-08
+8.7259615384615e+01 -9.7662063286696e-09
+9.1225961538462e+01 -1.8872607595474e-08
+9.5192307692308e+01 -5.9490716106140e-09
+9.9158653846154e+01 -1.7725218418194e-08
+1.0312500000000e+02 -9.8343296658882e-09
+1.0709134615385e+02 -1.7625771252025e-08
+1.1105769230769e+02 -3.1081432065322e-09
+1.1502403846154e+02 -1.8462583573715e-08
+1.1899038461538e+02 -9.6786986673455e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/ham_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/ham_norm1.xg
new file mode 100644
index 000000000..42ef5a3a8
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/ham_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMCONSTRAINTS::ham
+"ham v time
+0.0000000000000e+00 4.6634903966992e-11
+7.9326923076923e+00 1.5333395921151e-09
+1.5865384615385e+01 1.8916350482253e-10
+2.3798076923077e+01 1.7352294099789e-09
+3.1730769230769e+01 4.7070345213883e-11
+3.9663461538462e+01 1.7025793404843e-09
+4.7596153846154e+01 1.9715181079927e-10
+5.5528846153846e+01 1.6005588670263e-09
+6.3461538461538e+01 4.7227231154212e-11
+7.1394230769231e+01 1.6242574780155e-09
+7.5360576923077e+01 3.1843911943416e-09
+7.9326923076923e+01 1.9393772437491e-10
+8.3293269230769e+01 3.4060476644691e-09
+8.7259615384615e+01 1.6715499209730e-09
+9.1225961538462e+01 3.4975221753673e-09
+9.5192307692308e+01 4.7549100313130e-11
+9.9158653846154e+01 3.3910733499537e-09
+1.0312500000000e+02 1.6572484587050e-09
+1.0709134615385e+02 3.2463438027472e-09
+1.1105769230769e+02 1.9039662599800e-10
+1.1502403846154e+02 3.2139822391298e-09
+1.1899038461538e+02 1.6341968607642e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/ham_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/ham_norm2.xg
new file mode 100644
index 000000000..67d00adbb
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/ham_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMCONSTRAINTS::ham
+"ham v time
+0.0000000000000e+00 2.6103473562802e-10
+7.9326923076923e+00 2.4635448983979e-09
+1.5865384615385e+01 3.4832901603566e-10
+2.3798076923077e+01 2.7110843562984e-09
+3.1730769230769e+01 2.6177267807733e-10
+3.9663461538462e+01 2.6223000865126e-09
+4.7596153846154e+01 3.5013590492184e-10
+5.5528846153846e+01 2.4808205880580e-09
+6.3461538461538e+01 2.6116716871726e-10
+7.1394230769231e+01 2.5532546130419e-09
+7.5360576923077e+01 4.5574814692612e-09
+7.9326923076923e+01 3.4329265401572e-10
+8.3293269230769e+01 4.8792490761193e-09
+8.7259615384615e+01 2.6153995717479e-09
+9.1225961538462e+01 4.9776657115519e-09
+9.5192307692308e+01 2.6070736842959e-10
+9.9158653846154e+01 4.7840583539342e-09
+1.0312500000000e+02 2.5829319150475e-09
+1.0709134615385e+02 4.5921421613114e-09
+1.1105769230769e+02 3.4307715688091e-10
+1.1502403846154e+02 4.5947986046458e-09
+1.1899038461538e+02 2.5617459631888e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxx.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/kxx.x.asc
new file mode 100644
index 000000000..fe6d99cb2
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxx.x.asc
@@ -0,0 +1,864 @@
+# ADMBASE::kxx x (kxx)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 0
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 0
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 0
+0 0 0 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 0 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 0 0 0 96 24 24 0 761.538461538462 0 0 0
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+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 0 0 0 128 24 24 0 1100 0 0 0
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 0
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 0
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 0
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 0
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 0
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 0
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 0
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 0
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 0
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 0
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 0
+0 0 0 0 0 232 24 24 0 2200 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 0
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 0
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 0
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+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 1.26163692933591e-10
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 232 24 24 31.7307692307692 2200 0 0 3.83389111407317e-12
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 12 24 24 31.7307692307692 -126.923076923077 0 0 -1.06238590936053e-09
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+8 0 1 0 0 100 24 24 31.7307692307692 803.846153846154 0 0 3.23582284033187e-10
+8 0 1 0 0 104 24 24 31.7307692307692 846.153846153846 0 0 4.7856488740402e-11
+8 0 1 0 0 108 24 24 31.7307692307692 888.461538461538 0 0 2.31902173074942e-10
+8 0 1 0 0 112 24 24 31.7307692307692 930.769230769231 0 0 3.91108969489873e-10
+8 0 1 0 0 116 24 24 31.7307692307692 973.076923076923 0 0 3.88936462833574e-10
+8 0 1 0 0 120 24 24 31.7307692307692 1015.38461538462 0 0 3.42045144433568e-10
+8 0 1 0 0 124 24 24 31.7307692307692 1057.69230769231 0 0 3.34244323387442e-10
+8 0 1 0 0 128 24 24 31.7307692307692 1100 0 0 3.27052333451715e-10
+8 0 1 0 0 132 24 24 31.7307692307692 1142.30769230769 0 0 3.07897554315031e-10
+8 0 1 0 0 136 24 24 31.7307692307692 1184.61538461538 0 0 2.82919623055968e-10
+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 2.52264518058844e-10
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 70 24 24 31.7307692307692 486.538461538462 7.105427357601e-15 7.105427357601e-15 -8.54470516845187e-10
+8 0 2 0 0 72 24 24 31.7307692307692 507.692307692308 7.105427357601e-15 7.105427357601e-15 6.94338163895064e-11
+8 0 2 0 0 74 24 24 31.7307692307692 528.846153846154 7.105427357601e-15 7.105427357601e-15 2.40934494295196e-10
+8 0 2 0 0 76 24 24 31.7307692307692 550 7.105427357601e-15 7.105427357601e-15 1.74645545730413e-10
+8 0 2 0 0 78 24 24 31.7307692307692 571.153846153846 7.105427357601e-15 7.105427357601e-15 -1.51047217103531e-10
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 12 24 24 47.5961538461538 -126.923076923077 0 0 4.8298403342349e-09
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+12 0 1 0 0 36 24 24 47.5961538461538 126.923076923077 0 0 4.8298403342349e-09
+12 0 1 0 0 40 24 24 47.5961538461538 169.230769230769 0 0 7.40673070416968e-10
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+12 0 1 0 0 56 24 24 47.5961538461538 338.461538461538 0 0 -4.23420226621761e-09
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+12 0 1 0 0 96 24 24 47.5961538461538 761.538461538462 0 0 2.32581516378662e-10
+12 0 1 0 0 100 24 24 47.5961538461538 803.846153846154 0 0 4.09106335268869e-10
+12 0 1 0 0 104 24 24 47.5961538461538 846.153846153846 0 0 2.46176694123192e-10
+12 0 1 0 0 108 24 24 47.5961538461538 888.461538461538 0 0 4.15265882413274e-10
+12 0 1 0 0 112 24 24 47.5961538461538 930.769230769231 0 0 4.75358071194844e-10
+12 0 1 0 0 116 24 24 47.5961538461538 973.076923076923 0 0 5.1703700500349e-10
+12 0 1 0 0 120 24 24 47.5961538461538 1015.38461538462 0 0 5.3423442654304e-10
+12 0 1 0 0 124 24 24 47.5961538461538 1057.69230769231 0 0 5.10012974093584e-10
+12 0 1 0 0 128 24 24 47.5961538461538 1100 0 0 4.72617209506846e-10
+12 0 1 0 0 132 24 24 47.5961538461538 1142.30769230769 0 0 4.51413379019194e-10
+12 0 1 0 0 136 24 24 47.5961538461538 1184.61538461538 0 0 4.25962414929083e-10
+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 3.79490630767323e-10
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 18 24 24 47.5961538461538 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.72585548640052e-09
+12 0 2 0 0 20 24 24 47.5961538461538 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 4.44520944416127e-09
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+12 0 2 0 0 30 24 24 47.5961538461538 63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.72585548640052e-09
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+12 0 2 0 0 54 24 24 47.5961538461538 317.307692307692 7.105427357601e-15 7.105427357601e-15 9.61819540195458e-09
+12 0 2 0 0 56 24 24 47.5961538461538 338.461538461538 7.105427357601e-15 7.105427357601e-15 -4.23420226621761e-09
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+12 0 2 0 0 64 24 24 47.5961538461538 423.076923076923 7.105427357601e-15 7.105427357601e-15 5.82379716855828e-10
+12 0 2 0 0 66 24 24 47.5961538461538 444.230769230769 7.105427357601e-15 7.105427357601e-15 -3.08836419108405e-10
+12 0 2 0 0 68 24 24 47.5961538461538 465.384615384615 7.105427357601e-15 7.105427357601e-15 -8.97906976772631e-10
+12 0 2 0 0 70 24 24 47.5961538461538 486.538461538462 7.105427357601e-15 7.105427357601e-15 -3.15359564159806e-10
+12 0 2 0 0 72 24 24 47.5961538461538 507.692307692308 7.105427357601e-15 7.105427357601e-15 4.73113656006637e-10
+12 0 2 0 0 74 24 24 47.5961538461538 528.846153846154 7.105427357601e-15 7.105427357601e-15 7.02096872741767e-10
+12 0 2 0 0 76 24 24 47.5961538461538 550 7.105427357601e-15 7.105427357601e-15 6.44227302042323e-10
+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.52418529488559e-10
+12 0 2 0 0 80 24 24 47.5961538461538 592.307692307692 7.105427357601e-15 7.105427357601e-15 -2.79722416518413e-10
+12 0 2 0 0 82 24 24 47.5961538461538 613.461538461538 7.105427357601e-15 7.105427357601e-15 -1.28807853053001e-11
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 0 24 24 63.4615384615385 -253.846153846154 0 0 6.87571580264801e-09
+16 0 0 0 0 8 24 24 63.4615384615385 -169.230769230769 0 0 -2.84756447071683e-10
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+16 0 0 0 0 64 24 24 63.4615384615385 423.076923076923 0 0 -2.21538708941142e-09
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+16 0 0 0 0 104 24 24 63.4615384615385 846.153846153846 0 0 6.94325821288646e-10
+16 0 0 0 0 112 24 24 63.4615384615385 930.769230769231 0 0 4.85403587739226e-10
+16 0 0 0 0 120 24 24 63.4615384615385 1015.38461538462 0 0 7.40534843069843e-10
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+16 0 0 0 0 144 24 24 63.4615384615385 1269.23076923077 0 0 4.38460397863383e-10
+16 0 0 0 0 152 24 24 63.4615384615385 1353.84615384615 0 0 3.51240445401189e-10
+16 0 0 0 0 160 24 24 63.4615384615385 1438.46153846154 0 0 2.8895806217128e-10
+16 0 0 0 0 168 24 24 63.4615384615385 1523.07692307692 0 0 2.32057352640345e-10
+16 0 0 0 0 176 24 24 63.4615384615385 1607.69230769231 0 0 1.88172462826219e-10
+16 0 0 0 0 184 24 24 63.4615384615385 1692.30769230769 0 0 1.53779004746653e-10
+16 0 0 0 0 192 24 24 63.4615384615385 1776.92307692308 0 0 1.25867077591848e-10
+16 0 0 0 0 200 24 24 63.4615384615385 1861.53846153846 0 0 1.0399860598002e-10
+16 0 0 0 0 208 24 24 63.4615384615385 1946.15384615385 0 0 8.76800607087175e-11
+16 0 0 0 0 216 24 24 63.4615384615385 2030.76923076923 0 0 2.84555767324464e-11
+16 0 0 0 0 224 24 24 63.4615384615385 2115.38461538462 0 0 9.61851294547125e-12
+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 -3.2001350101085e-11
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 12 24 24 63.4615384615385 -126.923076923077 0 0 -3.70687459602076e-09
+16 0 1 0 0 16 24 24 63.4615384615385 -84.6153846153846 0 0 1.75147567737033e-09
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+16 0 1 0 0 52 24 24 63.4615384615385 296.153846153846 0 0 5.19523216036619e-09
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+16 0 1 0 0 60 24 24 63.4615384615385 380.769230769231 0 0 3.66604062604856e-09
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+16 0 1 0 0 76 24 24 63.4615384615385 550 0 0 1.0637601927843e-09
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+16 0 1 0 0 84 24 24 63.4615384615385 634.615384615385 0 0 1.62298441694105e-10
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+16 0 1 0 0 100 24 24 63.4615384615385 803.846153846154 0 0 2.82976972194161e-10
+16 0 1 0 0 104 24 24 63.4615384615385 846.153846153846 0 0 6.94325821288646e-10
+16 0 1 0 0 108 24 24 63.4615384615385 888.461538461538 0 0 5.75691042370898e-10
+16 0 1 0 0 112 24 24 63.4615384615385 930.769230769231 0 0 4.85403587739226e-10
+16 0 1 0 0 116 24 24 63.4615384615385 973.076923076923 0 0 6.08364599550201e-10
+16 0 1 0 0 120 24 24 63.4615384615385 1015.38461538462 0 0 7.40534843069843e-10
+16 0 1 0 0 124 24 24 63.4615384615385 1057.69230769231 0 0 6.91545946638047e-10
+16 0 1 0 0 128 24 24 63.4615384615385 1100 0 0 6.06207889703832e-10
+16 0 1 0 0 132 24 24 63.4615384615385 1142.30769230769 0 0 5.87973899800146e-10
+16 0 1 0 0 136 24 24 63.4615384615385 1184.61538461538 0 0 5.7006052439732e-10
+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 5.07445977200784e-10
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 6.21966483703931e-10
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 40 24 24 111.057692307692 169.230769230769 7.105427357601e-15 7.105427357601e-15 -5.08711539473228e-09
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+28 0 3 0 0 49 24 24 111.057692307692 264.423076923077 7.105427357601e-15 7.105427357601e-15 1.09859846979587e-10
+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 -9.17840536601941e-10
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 -2.49462361806872e-09
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 -2.92938270734564e-09
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 9.57428402019034e-10
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxx.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/kxx.y.asc
new file mode 100644
index 000000000..356e3fb5c
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxx.y.asc
@@ -0,0 +1,864 @@
+# ADMBASE::kxx y (kxx)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 0
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 0
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+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 0
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 0
+0 0 0 0 0 24 232 24 0 0 2200 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 0
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 0
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+0 0 1 0 0 24 124 24 0 0 1057.69230769231 0 0
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+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 18 24 0 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0
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+0 0 2 0 0 24 38 24 0 7.105427357601e-15 148.076923076923 7.105427357601e-15 0
+0 0 2 0 0 24 40 24 0 7.105427357601e-15 169.230769230769 7.105427357601e-15 0
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+0 0 2 0 0 24 56 24 0 7.105427357601e-15 338.461538461538 7.105427357601e-15 0
+0 0 2 0 0 24 58 24 0 7.105427357601e-15 359.615384615385 7.105427357601e-15 0
+0 0 2 0 0 24 60 24 0 7.105427357601e-15 380.769230769231 7.105427357601e-15 0
+0 0 2 0 0 24 62 24 0 7.105427357601e-15 401.923076923077 7.105427357601e-15 0
+0 0 2 0 0 24 64 24 0 7.105427357601e-15 423.076923076923 7.105427357601e-15 0
+0 0 2 0 0 24 66 24 0 7.105427357601e-15 444.230769230769 7.105427357601e-15 0
+0 0 2 0 0 24 68 24 0 7.105427357601e-15 465.384615384615 7.105427357601e-15 0
+0 0 2 0 0 24 70 24 0 7.105427357601e-15 486.538461538462 7.105427357601e-15 0
+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+0 0 2 0 0 24 74 24 0 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 0
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 -2.40282906074507e-09
+4 0 1 0 0 24 16 24 15.8653846153846 0 -84.6153846153846 0 1.12236047008883e-09
+4 0 1 0 0 24 20 24 15.8653846153846 0 -42.3076923076923 0 2.85181711524278e-09
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+4 0 1 0 0 24 36 24 15.8653846153846 0 126.923076923077 0 -2.40282906074507e-09
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+4 0 1 0 0 24 52 24 15.8653846153846 0 296.153846153846 0 -4.39383567494628e-09
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+4 0 1 0 0 24 68 24 15.8653846153846 0 465.384615384615 0 1.87918857972446e-10
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+4 0 1 0 0 24 76 24 15.8653846153846 0 550 0 3.1373235459092e-10
+4 0 1 0 0 24 80 24 15.8653846153846 0 592.307692307692 0 1.54331340445112e-10
+4 0 1 0 0 24 84 24 15.8653846153846 0 634.615384615385 0 -3.15466153356396e-10
+4 0 1 0 0 24 88 24 15.8653846153846 0 676.923076923077 0 1.91892589968588e-10
+4 0 1 0 0 24 92 24 15.8653846153846 0 719.230769230769 0 8.03854632689825e-12
+4 0 1 0 0 24 96 24 15.8653846153846 0 761.538461538462 0 2.25713472054522e-10
+4 0 1 0 0 24 100 24 15.8653846153846 0 803.846153846154 0 -1.37458410894076e-10
+4 0 1 0 0 24 104 24 15.8653846153846 0 846.153846153846 0 3.2624855222538e-11
+4 0 1 0 0 24 108 24 15.8653846153846 0 888.461538461538 0 2.04051466809981e-10
+4 0 1 0 0 24 112 24 15.8653846153846 0 930.769230769231 0 2.31099752084248e-10
+4 0 1 0 0 24 116 24 15.8653846153846 0 973.076923076923 0 2.05349806951704e-10
+4 0 1 0 0 24 120 24 15.8653846153846 0 1015.38461538462 0 1.72277948727991e-10
+4 0 1 0 0 24 124 24 15.8653846153846 0 1057.69230769231 0 1.69123152096851e-10
+4 0 1 0 0 24 128 24 15.8653846153846 0 1100 0 1.6809377289575e-10
+4 0 1 0 0 24 132 24 15.8653846153846 0 1142.30769230769 0 1.47970242436578e-10
+4 0 1 0 0 24 136 24 15.8653846153846 0 1184.61538461538 0 1.26364100159734e-10
+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 1.17016280619651e-10
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 18 24 15.8653846153846 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 3.22108135634601e-09
+4 0 2 0 0 24 20 24 15.8653846153846 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 2.85181711524278e-09
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 24 140 24 31.7307692307692 0 1226.92307692308 0 2.33969693522617e-10
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 78 24 31.7307692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 7.85092290204863e-10
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 128 24 47.5961538461538 0 1100 0 4.77349516168306e-10
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 3.39861909304871e-10
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 18 24 47.5961538461538 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 -7.31831832803873e-10
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+12 0 2 0 0 24 76 24 47.5961538461538 7.105427357601e-15 550 7.105427357601e-15 4.25547113216757e-10
+12 0 2 0 0 24 78 24 47.5961538461538 7.105427357601e-15 571.153846153846 7.105427357601e-15 6.4111906638608e-10
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+12 0 2 0 0 24 82 24 47.5961538461538 7.105427357601e-15 613.461538461538 7.105427357601e-15 7.01234309630418e-10
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 232 24 63.4615384615385 0 2200 0 -4.62564271702345e-11
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 4.38359036577583e-10
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 24 68 24 63.4615384615385 7.105427357601e-15 465.384615384615 7.105427357601e-15 4.32228529167487e-10
+16 0 2 0 0 24 70 24 63.4615384615385 7.105427357601e-15 486.538461538462 7.105427357601e-15 2.20917251119632e-10
+16 0 2 0 0 24 72 24 63.4615384615385 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.91998539797412e-10
+16 0 2 0 0 24 74 24 63.4615384615385 7.105427357601e-15 528.846153846154 7.105427357601e-15 3.64522572496632e-11
+16 0 2 0 0 24 76 24 63.4615384615385 7.105427357601e-15 550 7.105427357601e-15 -7.35004521154193e-11
+16 0 2 0 0 24 78 24 63.4615384615385 7.105427357601e-15 571.153846153846 7.105427357601e-15 -6.0198336258369e-11
+16 0 2 0 0 24 80 24 63.4615384615385 7.105427357601e-15 592.307692307692 7.105427357601e-15 5.0629226928483e-11
+16 0 2 0 0 24 82 24 63.4615384615385 7.105427357601e-15 613.461538461538 7.105427357601e-15 3.43624042855561e-10
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 108 24 79.3269230769231 0 888.461538461538 0 7.08166637380178e-10
+20 0 1 0 0 24 112 24 79.3269230769231 0 930.769230769231 0 1.01449143167539e-09
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+20 0 1 0 0 24 120 24 79.3269230769231 0 1015.38461538462 0 8.93047271806791e-10
+20 0 1 0 0 24 124 24 79.3269230769231 0 1057.69230769231 0 8.08106814980018e-10
+20 0 1 0 0 24 128 24 79.3269230769231 0 1100 0 7.2148375736424e-10
+20 0 1 0 0 24 132 24 79.3269230769231 0 1142.30769230769 0 6.48553531469616e-10
+20 0 1 0 0 24 136 24 79.3269230769231 0 1184.61538461538 0 5.86498394180726e-10
+20 0 1 0 0 24 140 24 79.3269230769231 0 1226.92307692308 0 5.39807261254675e-10
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 24 18 24 79.3269230769231 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 -1.08877698662252e-09
+20 0 2 0 0 24 20 24 79.3269230769231 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 3.68689184132653e-10
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 140 24 111.057692307692 0 1226.92307692308 0 7.39685382942924e-10
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 -4.84483039026209e-10
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxx.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/kxx.z.asc
new file mode 100644
index 000000000..b2b2acf99
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxx.z.asc
@@ -0,0 +1,864 @@
+# ADMBASE::kxx z (kxx)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 0
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+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 1.17016279713389e-10
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 3.44453850442558e-12
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 24 24 140 31.7307692307692 0 0 1226.92307692308 2.33969691710092e-10
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 7.85092288530564e-10
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 3.39861907302666e-10
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 24 72 47.5961538461538 7.105427357601e-15 7.105427357601e-15 507.692307692308 5.80303478057977e-10
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+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 4.25547112848091e-10
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 6.41119066001951e-10
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 8.27444318567214e-10
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 1.01012443999189e-10
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+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 -4.625642913551e-11
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 5.39807259562999e-10
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 1 0 0 24 24 140 95.1923076923077 0 0 1226.92307692308 6.40757851757181e-10
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 24 140 111.057692307692 0 0 1226.92307692308 7.39685381691915e-10
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 24 70 111.057692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 7.40636485511589e-11
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+28 0 2 0 0 24 24 76 111.057692307692 7.105427357601e-15 7.105427357601e-15 550 2.68583213620063e-10
+28 0 2 0 0 24 24 78 111.057692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 2.07505983336559e-10
+28 0 2 0 0 24 24 80 111.057692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.09721576218577e-10
+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 -4.27263761291261e-12
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 1.29199922866233e-10
+28 0 3 0 0 24 24 51 111.057692307692 7.105427357601e-15 7.105427357601e-15 285.576923076923 9.15521677328146e-10
+28 0 3 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.20064114593607e-09
+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 -4.84483050225949e-10
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxx_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kxx_maximum.xg
new file mode 100644
index 000000000..dddd8febb
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxx_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kxx
+"kxx v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 4.3503440307420e-09
+1.5865384615385e+01 6.2847950732908e-09
+2.3798076923077e+01 8.3667238969786e-09
+3.1730769230769e+01 5.7658485260050e-09
+3.9663461538462e+01 1.0864157255103e-08
+4.7596153846154e+01 6.1099507036193e-09
+5.5528846153846e+01 7.7777182043628e-09
+6.3461538461538e+01 6.8757158026480e-09
+7.1394230769231e+01 7.3572637436804e-09
+7.5360576923077e+01 6.8182008802177e-09
+7.9326923076923e+01 5.6588908946374e-09
+8.3293269230769e+01 7.8483146622785e-09
+8.7259615384615e+01 5.6745542718656e-09
+9.1225961538462e+01 5.8549781704874e-09
+9.5192307692308e+01 3.4858823964858e-09
+9.9158653846154e+01 6.0456645077000e-09
+1.0312500000000e+02 5.3114535990966e-09
+1.0709134615385e+02 5.3887972795325e-09
+1.1105769230769e+02 3.4064616538004e-09
+1.1502403846154e+02 3.9291903696804e-09
+1.1899038461538e+02 3.7076961078035e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxx_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kxx_minimum.xg
new file mode 100644
index 000000000..d2aaaf084
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxx_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kxx
+"kxx v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 -4.4232478682691e-09
+1.5865384615385e+01 -5.2501720331727e-09
+2.3798076923077e+01 -8.5505171535275e-09
+3.1730769230769e+01 -2.6429051616488e-09
+3.9663461538462e+01 -1.0288098806916e-08
+4.7596153846154e+01 -9.2103032692042e-09
+5.5528846153846e+01 -7.6636990676076e-09
+6.3461538461538e+01 -5.7721019805800e-09
+7.1394230769231e+01 -7.3963532797549e-09
+7.5360576923077e+01 -8.7727055275280e-09
+7.9326923076923e+01 -5.3966568164051e-09
+8.3293269230769e+01 -8.6252507976436e-09
+8.7259615384615e+01 -7.5683484681046e-09
+9.1225961538462e+01 -5.7705728862608e-09
+9.5192307692308e+01 -4.7379335833182e-09
+9.9158653846154e+01 -6.9885802072183e-09
+1.0312500000000e+02 -8.3262097770771e-09
+1.0709134615385e+02 -8.2807747102455e-09
+1.1105769230769e+02 -5.0871153947323e-09
+1.1502403846154e+02 -6.1549516054265e-09
+1.1899038461538e+02 -5.7345175568020e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxx_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kxx_norm1.xg
new file mode 100644
index 000000000..81f3f4167
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxx_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kxx
+"kxx v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 4.5317582398579e-10
+1.5865384615385e+01 2.0952195387071e-10
+2.3798076923077e+01 7.0438151425496e-10
+3.1730769230769e+01 6.3393390080884e-11
+3.9663461538462e+01 7.2235720853373e-10
+4.7596153846154e+01 2.8349821365634e-10
+5.5528846153846e+01 6.9923718858338e-10
+6.3461538461538e+01 8.8866516688999e-11
+7.1394230769231e+01 6.5212131278730e-10
+7.5360576923077e+01 9.8607056883885e-10
+7.9326923076923e+01 3.3593498296999e-10
+8.3293269230769e+01 1.0918626693845e-09
+8.7259615384615e+01 6.8726149503513e-10
+9.1225961538462e+01 9.5644336135053e-10
+9.5192307692308e+01 1.1082853123172e-10
+9.9158653846154e+01 1.0357408274459e-09
+1.0312500000000e+02 6.8238521893275e-10
+1.0709134615385e+02 1.1130977569863e-09
+1.1105769230769e+02 3.6980950936014e-10
+1.1502403846154e+02 1.1538325137145e-09
+1.1899038461538e+02 6.9319119025704e-10
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxx_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kxx_norm2.xg
new file mode 100644
index 000000000..9f28b6df8
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxx_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kxx
+"kxx v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 7.6959414692299e-10
+1.5865384615385e+01 5.8621324656047e-10
+2.3798076923077e+01 1.1691182800628e-09
+3.1730769230769e+01 2.1611737779934e-10
+3.9663461538462e+01 1.1307299551270e-09
+4.7596153846154e+01 5.8559932414264e-10
+5.5528846153846e+01 1.0987307194737e-09
+6.3461538461538e+01 2.4466453947935e-10
+7.1394230769231e+01 9.5478570077041e-10
+7.5360576923077e+01 1.3659652466978e-09
+7.9326923076923e+01 5.6792931015621e-10
+8.3293269230769e+01 1.4860497367243e-09
+8.7259615384615e+01 9.8399091782563e-10
+9.1225961538462e+01 1.2268944372332e-09
+9.5192307692308e+01 2.5173483025454e-10
+9.9158653846154e+01 1.3791236162309e-09
+1.0312500000000e+02 9.7685304776629e-10
+1.0709134615385e+02 1.4830444059109e-09
+1.1105769230769e+02 5.2682538477675e-10
+1.1502403846154e+02 1.4847385412357e-09
+1.1899038461538e+02 9.3749171834005e-10
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxy.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/kxy.x.asc
new file mode 100644
index 000000000..626270df9
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxy.x.asc
@@ -0,0 +1,864 @@
+# ADMBASE::kxy x (kxy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 0
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 0
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 0
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+0 0 0 0 0 128 24 24 0 1100 0 0 0
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+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 0
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 0
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 0
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 0
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 0
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 0
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 0
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 0
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 0
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 0
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 0
+0 0 0 0 0 232 24 24 0 2200 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 0
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 0
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 0
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 0
+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 1 0 0 52 24 24 0 296.153846153846 0 0 0
+0 0 1 0 0 56 24 24 0 338.461538461538 0 0 0
+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 0
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 0
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 1 0 0 76 24 24 0 550 0 0 0
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 0
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+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 5.61777637922612e-50
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 5.02603698833881e-20
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
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+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
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+
+
+# iteration 28
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 21 24 24 111.057692307692 -31.7307692307692 7.105427357601e-15 7.105427357601e-15 4.12895688881976e-19
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+28 0 3 0 0 49 24 24 111.057692307692 264.423076923077 7.105427357601e-15 7.105427357601e-15 1.05576725316592e-17
+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 1.54663947110234e-17
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 3.05840209931843e-17
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.27997138265956e-18
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 -1.12390959355874e-16
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxy.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/kxy.y.asc
new file mode 100644
index 000000000..5620522cc
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxy.y.asc
@@ -0,0 +1,864 @@
+# ADMBASE::kxy y (kxy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 0
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 0
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+0 0 0 0 0 24 200 24 0 0 1861.53846153846 0 0
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+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 0
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 0
+0 0 0 0 0 24 232 24 0 0 2200 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 0
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 0
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+0 0 1 0 0 24 24 24 0 0 0 0 0
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+0 0 1 0 0 24 108 24 0 0 888.461538461538 0 0
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+0 0 1 0 0 24 116 24 0 0 973.076923076923 0 0
+0 0 1 0 0 24 120 24 0 0 1015.38461538462 0 0
+0 0 1 0 0 24 124 24 0 0 1057.69230769231 0 0
+0 0 1 0 0 24 128 24 0 0 1100 0 0
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+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 18 24 0 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0
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+0 0 2 0 0 24 36 24 0 7.105427357601e-15 126.923076923077 7.105427357601e-15 0
+0 0 2 0 0 24 38 24 0 7.105427357601e-15 148.076923076923 7.105427357601e-15 0
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+0 0 2 0 0 24 58 24 0 7.105427357601e-15 359.615384615385 7.105427357601e-15 0
+0 0 2 0 0 24 60 24 0 7.105427357601e-15 380.769230769231 7.105427357601e-15 0
+0 0 2 0 0 24 62 24 0 7.105427357601e-15 401.923076923077 7.105427357601e-15 0
+0 0 2 0 0 24 64 24 0 7.105427357601e-15 423.076923076923 7.105427357601e-15 0
+0 0 2 0 0 24 66 24 0 7.105427357601e-15 444.230769230769 7.105427357601e-15 0
+0 0 2 0 0 24 68 24 0 7.105427357601e-15 465.384615384615 7.105427357601e-15 0
+0 0 2 0 0 24 70 24 0 7.105427357601e-15 486.538461538462 7.105427357601e-15 0
+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+0 0 2 0 0 24 74 24 0 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 0
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 2.6863707440787e-19
+4 0 1 0 0 24 16 24 15.8653846153846 0 -84.6153846153846 0 -4.31697596525371e-19
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+4 0 1 0 0 24 80 24 15.8653846153846 0 592.307692307692 0 0
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+4 0 1 0 0 24 108 24 15.8653846153846 0 888.461538461538 0 -1.29590030568547e-15
+4 0 1 0 0 24 112 24 15.8653846153846 0 930.769230769231 0 -2.34317128960479e-37
+4 0 1 0 0 24 116 24 15.8653846153846 0 973.076923076923 0 1.44180142722895e-16
+4 0 1 0 0 24 120 24 15.8653846153846 0 1015.38461538462 0 0
+4 0 1 0 0 24 124 24 15.8653846153846 0 1057.69230769231 0 1.46296440777455e-38
+4 0 1 0 0 24 128 24 15.8653846153846 0 1100 0 0
+4 0 1 0 0 24 132 24 15.8653846153846 0 1142.30769230769 0 0
+4 0 1 0 0 24 136 24 15.8653846153846 0 1184.61538461538 0 0
+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 70 24 47.5961538461538 7.105427357601e-15 486.538461538462 7.105427357601e-15 3.50058189862444e-15
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+12 0 2 0 0 24 74 24 47.5961538461538 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.22151246681826e-16
+12 0 2 0 0 24 76 24 47.5961538461538 7.105427357601e-15 550 7.105427357601e-15 1.16179180399008e-17
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+12 0 2 0 0 24 80 24 47.5961538461538 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.68192615805191e-23
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 224 24 63.4615384615385 0 2115.38461538462 0 0
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 5.61777637923306e-50
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 24 70 24 63.4615384615385 7.105427357601e-15 486.538461538462 7.105427357601e-15 -3.42513075693205e-16
+16 0 2 0 0 24 72 24 63.4615384615385 7.105427357601e-15 507.692307692308 7.105427357601e-15 8.84875247941574e-16
+16 0 2 0 0 24 74 24 63.4615384615385 7.105427357601e-15 528.846153846154 7.105427357601e-15 6.77347962617834e-16
+16 0 2 0 0 24 76 24 63.4615384615385 7.105427357601e-15 550 7.105427357601e-15 9.07250913321533e-17
+16 0 2 0 0 24 78 24 63.4615384615385 7.105427357601e-15 571.153846153846 7.105427357601e-15 -2.99787469700591e-18
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+16 0 2 0 0 24 82 24 63.4615384615385 7.105427357601e-15 613.461538461538 7.105427357601e-15 -4.42133291431885e-18
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 140 24 79.3269230769231 0 1226.92307692308 0 5.02616427206845e-20
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 24 39 24 95.1923076923077 7.105427357601e-15 158.653846153846 7.105427357601e-15 -4.2412399436232e-19
+24 0 3 0 0 24 40 24 95.1923076923077 7.105427357601e-15 169.230769230769 7.105427357601e-15 -3.87072777669643e-19
+24 0 3 0 0 24 41 24 95.1923076923077 7.105427357601e-15 179.807692307692 7.105427357601e-15 3.80384308317773e-19
+24 0 3 0 0 24 42 24 95.1923076923077 7.105427357601e-15 190.384615384615 7.105427357601e-15 2.60782296807446e-19
+24 0 3 0 0 24 43 24 95.1923076923077 7.105427357601e-15 200.961538461539 7.105427357601e-15 -1.72272492901117e-19
+24 0 3 0 0 24 44 24 95.1923076923077 7.105427357601e-15 211.538461538462 7.105427357601e-15 -3.6285521751012e-19
+24 0 3 0 0 24 45 24 95.1923076923077 7.105427357601e-15 222.115384615385 7.105427357601e-15 -6.47946888453125e-19
+24 0 3 0 0 24 46 24 95.1923076923077 7.105427357601e-15 232.692307692308 7.105427357601e-15 -7.14957562745929e-19
+24 0 3 0 0 24 47 24 95.1923076923077 7.105427357601e-15 243.269230769231 7.105427357601e-15 -6.41016289457426e-19
+24 0 3 0 0 24 48 24 95.1923076923077 7.105427357601e-15 253.846153846154 7.105427357601e-15 4.05545721874683e-19
+24 0 3 0 0 24 49 24 95.1923076923077 7.105427357601e-15 264.423076923077 7.105427357601e-15 2.07330817672687e-18
+24 0 3 0 0 24 50 24 95.1923076923077 7.105427357601e-15 275 7.105427357601e-15 7.8322653649241e-18
+24 0 3 0 0 24 51 24 95.1923076923077 7.105427357601e-15 285.576923076923 7.105427357601e-15 2.460661470241e-17
+24 0 3 0 0 24 52 24 95.1923076923077 7.105427357601e-15 296.153846153846 7.105427357601e-15 4.16731229284761e-17
+24 0 3 0 0 24 53 24 95.1923076923077 7.105427357601e-15 306.730769230769 7.105427357601e-15 9.21983737627907e-17
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 1 0 0 24 12 24 111.057692307692 0 -126.923076923077 0 -3.27895640563366e-19
+28 0 1 0 0 24 16 24 111.057692307692 0 -84.6153846153846 0 -7.73064007389924e-20
+28 0 1 0 0 24 20 24 111.057692307692 0 -42.3076923076923 0 2.20578279178969e-18
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+28 0 1 0 0 24 36 24 111.057692307692 0 126.923076923077 0 3.27895640563366e-19
+28 0 1 0 0 24 40 24 111.057692307692 0 169.230769230769 0 1.45908150173022e-19
+28 0 1 0 0 24 44 24 111.057692307692 0 211.538461538462 0 3.75064469233849e-19
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+28 0 1 0 0 24 52 24 111.057692307692 0 296.153846153846 0 1.2856961136668e-18
+28 0 1 0 0 24 56 24 111.057692307692 0 338.461538461538 0 -1.28356053080801e-15
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+28 0 1 0 0 24 96 24 111.057692307692 0 761.538461538462 0 8.33695271711308e-17
+28 0 1 0 0 24 100 24 111.057692307692 0 803.846153846154 0 1.95431577006741e-15
+28 0 1 0 0 24 104 24 111.057692307692 0 846.153846153846 0 1.9760422498996e-15
+28 0 1 0 0 24 108 24 111.057692307692 0 888.461538461538 0 2.11478910404243e-15
+28 0 1 0 0 24 112 24 111.057692307692 0 930.769230769231 0 1.57065318316364e-16
+28 0 1 0 0 24 116 24 111.057692307692 0 973.076923076923 0 -1.88532392398497e-16
+28 0 1 0 0 24 120 24 111.057692307692 0 1015.38461538462 0 -9.44386468215595e-17
+28 0 1 0 0 24 124 24 111.057692307692 0 1057.69230769231 0 -6.67763535621585e-17
+28 0 1 0 0 24 128 24 111.057692307692 0 1100 0 -6.88637814672754e-18
+28 0 1 0 0 24 132 24 111.057692307692 0 1142.30769230769 0 1.940259673415e-18
+28 0 1 0 0 24 136 24 111.057692307692 0 1184.61538461538 0 -1.498743920986e-19
+28 0 1 0 0 24 140 24 111.057692307692 0 1226.92307692308 0 3.45472475787965e-19
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 24 18 24 111.057692307692 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 7.23689819210364e-19
+28 0 2 0 0 24 20 24 111.057692307692 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 2.20578279178969e-18
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+28 0 2 0 0 24 28 24 111.057692307692 7.105427357601e-15 42.3076923076923 7.105427357601e-15 -2.20578279178969e-18
+28 0 2 0 0 24 30 24 111.057692307692 7.105427357601e-15 63.4615384615385 7.105427357601e-15 -7.23689819210364e-19
+28 0 2 0 0 24 32 24 111.057692307692 7.105427357601e-15 84.6153846153846 7.105427357601e-15 7.73064007389924e-20
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+28 0 2 0 0 24 38 24 111.057692307692 7.105427357601e-15 148.076923076923 7.105427357601e-15 7.57248081924181e-20
+28 0 2 0 0 24 40 24 111.057692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.45908150173022e-19
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+28 0 2 0 0 24 62 24 111.057692307692 7.105427357601e-15 401.923076923077 7.105427357601e-15 7.08305164540528e-15
+28 0 2 0 0 24 64 24 111.057692307692 7.105427357601e-15 423.076923076923 7.105427357601e-15 -2.92027458387533e-15
+28 0 2 0 0 24 66 24 111.057692307692 7.105427357601e-15 444.230769230769 7.105427357601e-15 -2.02864601416896e-15
+28 0 2 0 0 24 68 24 111.057692307692 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.72862026276243e-17
+28 0 2 0 0 24 70 24 111.057692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 -6.8340760529992e-16
+28 0 2 0 0 24 72 24 111.057692307692 7.105427357601e-15 507.692307692308 7.105427357601e-15 -1.54765939355011e-15
+28 0 2 0 0 24 74 24 111.057692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 -8.35090449280845e-16
+28 0 2 0 0 24 76 24 111.057692307692 7.105427357601e-15 550 7.105427357601e-15 7.38951058329365e-17
+28 0 2 0 0 24 78 24 111.057692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.85352714503564e-16
+28 0 2 0 0 24 80 24 111.057692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 8.48932773694018e-17
+28 0 2 0 0 24 82 24 111.057692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 4.95908013453079e-17
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 24 21 24 111.057692307692 7.105427357601e-15 -31.7307692307692 7.105427357601e-15 4.40842169023931e-19
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+28 0 3 0 0 24 25 24 111.057692307692 7.105427357601e-15 10.5769230769231 7.105427357601e-15 4.22305577972442e-18
+28 0 3 0 0 24 26 24 111.057692307692 7.105427357601e-15 21.1538461538462 7.105427357601e-15 3.61502920541709e-18
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+28 0 3 0 0 24 33 24 111.057692307692 7.105427357601e-15 95.1923076923077 7.105427357601e-15 3.76749843552734e-19
+28 0 3 0 0 24 34 24 111.057692307692 7.105427357601e-15 105.769230769231 7.105427357601e-15 -2.78168762849749e-19
+28 0 3 0 0 24 35 24 111.057692307692 7.105427357601e-15 116.346153846154 7.105427357601e-15 -3.63749668741517e-19
+28 0 3 0 0 24 36 24 111.057692307692 7.105427357601e-15 126.923076923077 7.105427357601e-15 3.27895640563366e-19
+28 0 3 0 0 24 37 24 111.057692307692 7.105427357601e-15 137.5 7.105427357601e-15 4.16438616692132e-19
+28 0 3 0 0 24 38 24 111.057692307692 7.105427357601e-15 148.076923076923 7.105427357601e-15 7.57248081924181e-20
+28 0 3 0 0 24 39 24 111.057692307692 7.105427357601e-15 158.653846153846 7.105427357601e-15 1.37318117637721e-19
+28 0 3 0 0 24 40 24 111.057692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.45908150173022e-19
+28 0 3 0 0 24 41 24 111.057692307692 7.105427357601e-15 179.807692307692 7.105427357601e-15 -4.56680638287253e-19
+28 0 3 0 0 24 42 24 111.057692307692 7.105427357601e-15 190.384615384615 7.105427357601e-15 -4.30847892120239e-19
+28 0 3 0 0 24 43 24 111.057692307692 7.105427357601e-15 200.961538461539 7.105427357601e-15 1.51659653622243e-19
+28 0 3 0 0 24 44 24 111.057692307692 7.105427357601e-15 211.538461538462 7.105427357601e-15 3.75064469233849e-19
+28 0 3 0 0 24 45 24 111.057692307692 7.105427357601e-15 222.115384615385 7.105427357601e-15 4.05442556921929e-19
+28 0 3 0 0 24 46 24 111.057692307692 7.105427357601e-15 232.692307692308 7.105427357601e-15 6.87833329623887e-19
+28 0 3 0 0 24 47 24 111.057692307692 7.105427357601e-15 243.269230769231 7.105427357601e-15 1.37028316373392e-18
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+28 0 3 0 0 24 49 24 111.057692307692 7.105427357601e-15 264.423076923077 7.105427357601e-15 1.05506410767691e-17
+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 1.5465601568885e-17
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 3.05870358615628e-17
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.2856961136668e-18
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 -1.12386265614964e-16
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxy.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/kxy.z.asc
new file mode 100644
index 000000000..149fe4af2
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxy.z.asc
@@ -0,0 +1,864 @@
+# ADMBASE::kxy z (kxy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 0
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 0
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+0 0 0 0 0 24 24 112 0 0 0 930.769230769231 0
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+0 0 0 0 0 24 24 128 0 0 0 1100 0
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+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 0
+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 0
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+0 0 0 0 0 24 24 176 0 0 0 1607.69230769231 0
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+0 0 0 0 0 24 24 192 0 0 0 1776.92307692308 0
+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 0
+0 0 0 0 0 24 24 208 0 0 0 1946.15384615385 0
+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 0
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 0
+0 0 0 0 0 24 24 232 0 0 0 2200 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 0
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 24 24 28 0 0 0 42.3076923076923 0
+0 0 1 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 1 0 0 24 24 36 0 0 0 126.923076923077 0
+0 0 1 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 1 0 0 24 24 44 0 0 0 211.538461538462 0
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+0 0 1 0 0 24 24 52 0 0 0 296.153846153846 0
+0 0 1 0 0 24 24 56 0 0 0 338.461538461538 0
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+0 0 1 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 1 0 0 24 24 68 0 0 0 465.384615384615 0
+0 0 1 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 1 0 0 24 24 76 0 0 0 550 0
+0 0 1 0 0 24 24 80 0 0 0 592.307692307692 0
+0 0 1 0 0 24 24 84 0 0 0 634.615384615385 0
+0 0 1 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 1 0 0 24 24 92 0 0 0 719.230769230769 0
+0 0 1 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 1 0 0 24 24 100 0 0 0 803.846153846154 0
+0 0 1 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 1 0 0 24 24 108 0 0 0 888.461538461538 0
+0 0 1 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 1 0 0 24 24 116 0 0 0 973.076923076923 0
+0 0 1 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 1 0 0 24 24 124 0 0 0 1057.69230769231 0
+0 0 1 0 0 24 24 128 0 0 0 1100 0
+0 0 1 0 0 24 24 132 0 0 0 1142.30769230769 0
+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 24 74 31.7307692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 9.70572216633004e-20
+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 4.48058034049954e-21
+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 -3.53875356908137e-21
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 3.50865701439121e-58
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 5.29431307130365e-20
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 1.68147068085e-20
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.1498712180966e-20
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 7.66851174379612e-22
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 24 124 63.4615384615385 0 0 1057.69230769231 1.0748847580707e-22
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+16 0 1 0 0 24 24 132 63.4615384615385 0 0 1142.30769230769 3.74263187413356e-24
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+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 9.35641855411124e-58
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 7.89566268639095e-21
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.87030169705697e-20
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 24 128 79.3269230769231 0 0 1100 -4.21982297422806e-24
+20 0 1 0 0 24 24 132 79.3269230769231 0 0 1142.30769230769 8.69173896201836e-24
+20 0 1 0 0 24 24 136 79.3269230769231 0 0 1184.61538461538 -6.02503831510388e-54
+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 2.63527456917162e-25
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 2 0 0 24 24 78 79.3269230769231 7.105427357601e-15 7.105427357601e-15 571.153846153846 -6.77448782926628e-21
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 3 0 0 24 24 51 79.3269230769231 7.105427357601e-15 7.105427357601e-15 285.576923076923 4.44336674462519e-18
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 0 0 0 24 24 232 95.1923076923077 0 0 2200 -1.49639853714873e-83
+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 1 0 0 24 24 12 95.1923076923077 0 0 -126.923076923077 -5.86515273858167e-18
+24 0 1 0 0 24 24 16 95.1923076923077 0 0 -84.6153846153846 4.47761564133374e-18
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
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+28 0 2 0 0 24 24 78 111.057692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 -3.58082370988383e-20
+28 0 2 0 0 24 24 80 111.057692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 -1.38733014176502e-20
+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 -6.54801965032705e-21
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 24 24 21 111.057692307692 7.105427357601e-15 7.105427357601e-15 -31.7307692307692 -1.86002561574496e-18
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+28 0 3 0 0 24 24 31 111.057692307692 7.105427357601e-15 7.105427357601e-15 74.0384615384616 -6.48300663065521e-18
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+28 0 3 0 0 24 24 37 111.057692307692 7.105427357601e-15 7.105427357601e-15 137.5 6.53108161232407e-18
+28 0 3 0 0 24 24 38 111.057692307692 7.105427357601e-15 7.105427357601e-15 148.076923076923 5.05526703087699e-18
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+28 0 3 0 0 24 24 40 111.057692307692 7.105427357601e-15 7.105427357601e-15 169.230769230769 3.31157687732341e-18
+28 0 3 0 0 24 24 41 111.057692307692 7.105427357601e-15 7.105427357601e-15 179.807692307692 6.71711837042555e-18
+28 0 3 0 0 24 24 42 111.057692307692 7.105427357601e-15 7.105427357601e-15 190.384615384615 7.71553190531053e-18
+28 0 3 0 0 24 24 43 111.057692307692 7.105427357601e-15 7.105427357601e-15 200.961538461539 2.9339413377142e-18
+28 0 3 0 0 24 24 44 111.057692307692 7.105427357601e-15 7.105427357601e-15 211.538461538462 -2.35687733808327e-18
+28 0 3 0 0 24 24 45 111.057692307692 7.105427357601e-15 7.105427357601e-15 222.115384615385 1.70093059368461e-18
+28 0 3 0 0 24 24 46 111.057692307692 7.105427357601e-15 7.105427357601e-15 232.692307692308 6.4653717046191e-18
+28 0 3 0 0 24 24 47 111.057692307692 7.105427357601e-15 7.105427357601e-15 243.269230769231 4.97008110979173e-18
+28 0 3 0 0 24 24 48 111.057692307692 7.105427357601e-15 7.105427357601e-15 253.846153846154 2.0586370353181e-18
+28 0 3 0 0 24 24 49 111.057692307692 7.105427357601e-15 7.105427357601e-15 264.423076923077 7.69356664524093e-19
+28 0 3 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 -4.54477166988141e-19
+28 0 3 0 0 24 24 51 111.057692307692 7.105427357601e-15 7.105427357601e-15 285.576923076923 -2.50692082199496e-18
+28 0 3 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 -4.33623433656616e-18
+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 -5.61777810704319e-18
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxy_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kxy_maximum.xg
new file mode 100644
index 000000000..3010fe755
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxy_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kxy
+"kxy v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 3.4482655553759e-10
+1.5865384615385e+01 9.1564629112439e-10
+2.3798076923077e+01 1.2138753593187e-09
+3.1730769230769e+01 9.3586664488935e-10
+3.9663461538462e+01 1.4962838697520e-09
+4.7596153846154e+01 1.0931579930970e-09
+5.5528846153846e+01 1.4432749666416e-09
+6.3461538461538e+01 1.2739611700466e-09
+7.1394230769231e+01 1.4707016129318e-09
+7.5360576923077e+01 3.3380767569201e-09
+7.9326923076923e+01 1.1833418157575e-09
+8.3293269230769e+01 4.5533911197750e-09
+8.7259615384615e+01 1.7669635340121e-09
+9.1225961538462e+01 2.5531338403879e-09
+9.5192307692308e+01 1.1746208733637e-09
+9.9158653846154e+01 3.8717115208813e-09
+1.0312500000000e+02 2.1738626072229e-09
+1.0709134615385e+02 2.9156029346633e-09
+1.1105769230769e+02 1.9137001957497e-09
+1.1502403846154e+02 2.6311405373486e-09
+1.1899038461538e+02 2.2904745293679e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxy_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kxy_minimum.xg
new file mode 100644
index 000000000..9da3dd8c9
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxy_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kxy
+"kxy v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 -3.4482655553759e-10
+1.5865384615385e+01 -9.1564629112439e-10
+2.3798076923077e+01 -1.2138753593187e-09
+3.1730769230769e+01 -9.3586664488935e-10
+3.9663461538462e+01 -1.4962838697520e-09
+4.7596153846154e+01 -1.0603059504899e-09
+5.5528846153846e+01 -1.4432749666416e-09
+6.3461538461538e+01 -1.2739611700466e-09
+7.1394230769231e+01 -1.4707016129318e-09
+7.5360576923077e+01 -3.3380767569201e-09
+7.9326923076923e+01 -1.2908547606058e-09
+8.3293269230769e+01 -4.1912960694672e-09
+8.7259615384615e+01 -1.6749364526007e-09
+9.1225961538462e+01 -2.4013095063094e-09
+9.5192307692308e+01 -1.1746208733637e-09
+9.9158653846154e+01 -3.8717115208813e-09
+1.0312500000000e+02 -2.1738626072229e-09
+1.0709134615385e+02 -2.9156029346633e-09
+1.1105769230769e+02 -1.6682707979989e-09
+1.1502403846154e+02 -2.5073184756855e-09
+1.1899038461538e+02 -2.2904745293679e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxy_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kxy_norm1.xg
new file mode 100644
index 000000000..e52a0e7b7
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxy_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kxy
+"kxy v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 3.6903865162205e-11
+1.5865384615385e+01 2.2493644098903e-11
+2.3798076923077e+01 1.2701895210323e-10
+3.1730769230769e+01 6.4125439543260e-12
+3.9663461538462e+01 1.3406867190400e-10
+4.7596153846154e+01 3.3728548481174e-11
+5.5528846153846e+01 1.3847491530178e-10
+6.3461538461538e+01 7.7489270699791e-12
+7.1394230769231e+01 1.3381335465869e-10
+7.5360576923077e+01 3.3619745817677e-10
+7.9326923076923e+01 3.8204845860800e-11
+8.3293269230769e+01 4.2464529081798e-10
+8.7259615384615e+01 1.4298664675032e-10
+9.1225961538462e+01 3.0701289317787e-10
+9.5192307692308e+01 8.8055899711126e-12
+9.9158653846154e+01 3.6361814094202e-10
+1.0312500000000e+02 1.3656657143297e-10
+1.0709134615385e+02 3.4536915304865e-10
+1.1105769230769e+02 4.3894136741491e-11
+1.1502403846154e+02 3.2598414185526e-10
+1.1899038461538e+02 1.4121077546736e-10
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxy_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kxy_norm2.xg
new file mode 100644
index 000000000..04aff7f7f
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxy_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kxy
+"kxy v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 6.5642729952567e-11
+1.5865384615385e+01 8.2108012684761e-11
+2.3798076923077e+01 2.1716646526728e-10
+3.1730769230769e+01 4.1138647089997e-11
+3.9663461538462e+01 2.1372488168514e-10
+4.7596153846154e+01 9.4722371631640e-11
+5.5528846153846e+01 2.2205010560974e-10
+6.3461538461538e+01 5.0352364388431e-11
+7.1394230769231e+01 2.1884071446761e-10
+7.5360576923077e+01 5.0700208958499e-10
+7.9326923076923e+01 1.0353536308852e-10
+8.3293269230769e+01 6.5930535515417e-10
+8.7259615384615e+01 2.3934491244290e-10
+9.1225961538462e+01 4.2650092263654e-10
+9.5192307692308e+01 4.9058332616241e-11
+9.9158653846154e+01 5.4901839299020e-10
+1.0312500000000e+02 2.2614719445188e-10
+1.0709134615385e+02 5.0785311968964e-10
+1.1105769230769e+02 1.1122559285810e-10
+1.1502403846154e+02 4.6124176034122e-10
+1.1899038461538e+02 2.2668122483729e-10
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxz.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/kxz.x.asc
new file mode 100644
index 000000000..1341ebcf7
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxz.x.asc
@@ -0,0 +1,864 @@
+# ADMBASE::kxz x (kxz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 0
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 0
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
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+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 0
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+0 0 0 0 0 128 24 24 0 1100 0 0 0
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+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 0
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 0
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+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 0
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 0
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 0
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 0
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 0
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 0
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 0
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 0
+0 0 0 0 0 232 24 24 0 2200 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 0
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 0
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 0
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 0
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+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 1 0 0 52 24 24 0 296.153846153846 0 0 0
+0 0 1 0 0 56 24 24 0 338.461538461538 0 0 0
+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 0
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 0
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 1 0 0 76 24 24 0 550 0 0 0
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 1 0 0 84 24 24 0 634.615384615385 0 0 0
+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 1 0 0 92 24 24 0 719.230769230769 0 0 0
+0 0 1 0 0 96 24 24 0 761.538461538462 0 0 0
+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 0
+0 0 1 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 0
+0 0 1 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 0
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 0
+0 0 1 0 0 128 24 24 0 1100 0 0 0
+0 0 1 0 0 132 24 24 0 1142.30769230769 0 0 0
+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 20 24 24 0 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 22 24 24 0 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 26 24 24 0 21.1538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 28 24 24 0 42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 30 24 24 0 63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 32 24 24 0 84.6153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 34 24 24 0 105.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 36 24 24 0 126.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 38 24 24 0 148.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 40 24 24 0 169.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 42 24 24 0 190.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 44 24 24 0 211.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 46 24 24 0 232.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 48 24 24 0 253.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 50 24 24 0 275 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 52 24 24 0 296.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 54 24 24 0 317.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 56 24 24 0 338.461538461538 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 58 24 24 0 359.615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 60 24 24 0 380.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 62 24 24 0 401.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 64 24 24 0 423.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 66 24 24 0 444.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 68 24 24 0 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 12 24 24 47.5961538461538 -126.923076923077 0 0 -3.39807654686009e-19
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+12 0 1 0 0 108 24 24 47.5961538461538 888.461538461538 0 0 -3.01178057913877e-15
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+12 0 1 0 0 124 24 24 47.5961538461538 1057.69230769231 0 0 1.08629159167262e-17
+12 0 1 0 0 128 24 24 47.5961538461538 1100 0 0 -3.59953753189174e-23
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+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 2.24790700840561e-24
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 66 24 24 47.5961538461538 444.230769230769 7.105427357601e-15 7.105427357601e-15 -1.32977741392699e-14
+12 0 2 0 0 68 24 24 47.5961538461538 465.384615384615 7.105427357601e-15 7.105427357601e-15 2.80722063706479e-15
+12 0 2 0 0 70 24 24 47.5961538461538 486.538461538462 7.105427357601e-15 7.105427357601e-15 3.50082253404993e-15
+12 0 2 0 0 72 24 24 47.5961538461538 507.692307692308 7.105427357601e-15 7.105427357601e-15 5.17281668669808e-16
+12 0 2 0 0 74 24 24 47.5961538461538 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.22133698060052e-16
+12 0 2 0 0 76 24 24 47.5961538461538 550 7.105427357601e-15 7.105427357601e-15 1.16168504775786e-17
+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 -2.57670831187371e-17
+12 0 2 0 0 80 24 24 47.5961538461538 592.307692307692 7.105427357601e-15 7.105427357601e-15 -2.66414597784429e-24
+12 0 2 0 0 82 24 24 47.5961538461538 613.461538461538 7.105427357601e-15 7.105427357601e-15 -7.25393021431083e-19
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 184 24 24 63.4615384615385 1692.30769230769 0 0 2.46212916011818e-32
+16 0 0 0 0 192 24 24 63.4615384615385 1776.92307692308 0 0 -2.75478666661047e-34
+16 0 0 0 0 200 24 24 63.4615384615385 1861.53846153846 0 0 -2.46150122860001e-32
+16 0 0 0 0 208 24 24 63.4615384615385 1946.15384615385 0 0 -2.78706444474232e-33
+16 0 0 0 0 216 24 24 63.4615384615385 2030.76923076923 0 0 -4.3167632422306e-37
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+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 -1.6984884815943e-37
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 12 24 24 63.4615384615385 -126.923076923077 0 0 -3.77796162255898e-19
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+16 0 1 0 0 100 24 24 63.4615384615385 803.846153846154 0 0 -1.02930644722356e-15
+16 0 1 0 0 104 24 24 63.4615384615385 846.153846153846 0 0 2.08462606786343e-15
+16 0 1 0 0 108 24 24 63.4615384615385 888.461538461538 0 0 8.79053318043897e-16
+16 0 1 0 0 112 24 24 63.4615384615385 930.769230769231 0 0 -5.40578730851203e-16
+16 0 1 0 0 116 24 24 63.4615384615385 973.076923076923 0 0 -4.38883400978227e-16
+16 0 1 0 0 120 24 24 63.4615384615385 1015.38461538462 0 0 -8.50244152691319e-18
+16 0 1 0 0 124 24 24 63.4615384615385 1057.69230769231 0 0 2.89700279237037e-17
+16 0 1 0 0 128 24 24 63.4615384615385 1100 0 0 -9.59876655121104e-23
+16 0 1 0 0 132 24 24 63.4615384615385 1142.30769230769 0 0 5.30864585845556e-19
+16 0 1 0 0 136 24 24 63.4615384615385 1184.61538461538 0 0 -1.53441253676882e-32
+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 5.99441859175224e-24
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 18 24 24 63.4615384615385 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.06374518280199e-19
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+16 0 2 0 0 70 24 24 63.4615384615385 486.538461538462 7.105427357601e-15 7.105427357601e-15 -3.4226083873722e-16
+16 0 2 0 0 72 24 24 63.4615384615385 507.692307692308 7.105427357601e-15 7.105427357601e-15 8.84930559444499e-16
+16 0 2 0 0 74 24 24 63.4615384615385 528.846153846154 7.105427357601e-15 7.105427357601e-15 6.77353321325204e-16
+16 0 2 0 0 76 24 24 63.4615384615385 550 7.105427357601e-15 7.105427357601e-15 9.07218399652074e-17
+16 0 2 0 0 78 24 24 63.4615384615385 571.153846153846 7.105427357601e-15 7.105427357601e-15 -3.00336512971164e-18
+16 0 2 0 0 80 24 24 63.4615384615385 592.307692307692 7.105427357601e-15 7.105427357601e-15 2.19975808567818e-18
+16 0 2 0 0 82 24 24 63.4615384615385 613.461538461538 7.105427357601e-15 7.105427357601e-15 -4.42134007579421e-18
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 120 24 24 79.3269230769231 1015.38461538462 0 0 -3.76744901506923e-17
+20 0 1 0 0 124 24 24 79.3269230769231 1057.69230769231 0 0 8.65287211132417e-18
+20 0 1 0 0 128 24 24 79.3269230769231 1100 0 0 -8.0494531701808e-19
+20 0 1 0 0 132 24 24 79.3269230769231 1142.30769230769 0 0 1.89985452978907e-18
+20 0 1 0 0 136 24 24 79.3269230769231 1184.61538461538 0 0 -6.09949209905098e-24
+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 5.02652632536767e-20
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 2 0 0 56 24 24 79.3269230769231 338.461538461538 7.105427357601e-15 7.105427357601e-15 2.25186734635551e-16
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+20 0 2 0 0 64 24 24 79.3269230769231 423.076923076923 7.105427357601e-15 7.105427357601e-15 1.32467343328862e-14
+20 0 2 0 0 66 24 24 79.3269230769231 444.230769230769 7.105427357601e-15 7.105427357601e-15 4.94761792539416e-15
+20 0 2 0 0 68 24 24 79.3269230769231 465.384615384615 7.105427357601e-15 7.105427357601e-15 -5.10210249877405e-15
+20 0 2 0 0 70 24 24 79.3269230769231 486.538461538462 7.105427357601e-15 7.105427357601e-15 -3.4838198854173e-15
+20 0 2 0 0 72 24 24 79.3269230769231 507.692307692308 7.105427357601e-15 7.105427357601e-15 4.01739309427218e-16
+20 0 2 0 0 74 24 24 79.3269230769231 528.846153846154 7.105427357601e-15 7.105427357601e-15 6.67384818605733e-16
+20 0 2 0 0 76 24 24 79.3269230769231 550 7.105427357601e-15 7.105427357601e-15 2.20280145141064e-16
+20 0 2 0 0 78 24 24 79.3269230769231 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.0810296937208e-16
+20 0 2 0 0 80 24 24 79.3269230769231 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.66071746322641e-17
+20 0 2 0 0 82 24 24 79.3269230769231 613.461538461538 7.105427357601e-15 7.105427357601e-15 -4.11677197203948e-18
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 3 0 0 21 24 24 79.3269230769231 -31.7307692307692 7.105427357601e-15 7.105427357601e-15 1.06794018980566e-18
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+20 0 3 0 0 50 24 24 79.3269230769231 275 7.105427357601e-15 7.105427357601e-15 7.39097183287251e-19
+20 0 3 0 0 51 24 24 79.3269230769231 285.576923076923 7.105427357601e-15 7.105427357601e-15 2.32464700845347e-18
+20 0 3 0 0 52 24 24 79.3269230769231 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.44889689041809e-17
+20 0 3 0 0 53 24 24 79.3269230769231 306.730769230769 7.105427357601e-15 7.105427357601e-15 5.01866067973078e-17
+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 0 0 0 0 24 24 95.1923076923077 -253.846153846154 0 0 -6.82054754068917e-19
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+24 0 0 0 0 200 24 24 95.1923076923077 1861.53846153846 0 0 6.702531207282e-33
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+24 0 0 0 0 232 24 24 95.1923076923077 2200 0 0 -1.73370384704232e-34
+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 1 0 0 12 24 24 95.1923076923077 -126.923076923077 0 0 5.36480524307034e-20
+24 0 1 0 0 16 24 24 95.1923076923077 -84.6153846153846 0 0 3.32034206245832e-19
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+24 0 1 0 0 100 24 24 95.1923076923077 803.846153846154 0 0 1.07654278297716e-15
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+24 0 1 0 0 108 24 24 95.1923076923077 888.461538461538 0 0 2.29240447862517e-15
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+24 0 1 0 0 116 24 24 95.1923076923077 973.076923076923 0 0 -4.31845152132567e-16
+24 0 1 0 0 120 24 24 95.1923076923077 1015.38461538462 0 0 -8.34608840803608e-17
+24 0 1 0 0 124 24 24 95.1923076923077 1057.69230769231 0 0 -3.48661031699172e-17
+24 0 1 0 0 128 24 24 95.1923076923077 1100 0 0 -2.14632881393685e-18
+24 0 1 0 0 132 24 24 95.1923076923077 1142.30769230769 0 0 4.00457836372562e-18
+24 0 1 0 0 136 24 24 95.1923076923077 1184.61538461538 0 0 -1.62653118412218e-23
+24 0 1 0 0 140 24 24 95.1923076923077 1226.92307692308 0 0 1.3402871045444e-19
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 48 24 24 111.057692307692 253.846153846154 7.105427357601e-15 7.105427357601e-15 3.74713518068782e-18
+28 0 3 0 0 49 24 24 111.057692307692 264.423076923077 7.105427357601e-15 7.105427357601e-15 1.11859592907381e-17
+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 1.62702405432904e-17
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 3.09125972349892e-17
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.01436795236387e-18
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 -1.1293548712294e-16
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxz.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/kxz.y.asc
new file mode 100644
index 000000000..3bc47ba4a
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxz.y.asc
@@ -0,0 +1,864 @@
+# ADMBASE::kxz y (kxz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 0
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 0
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+0 0 0 0 0 24 144 24 0 0 1269.23076923077 0 0
+0 0 0 0 0 24 152 24 0 0 1353.84615384615 0 0
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+0 0 0 0 0 24 176 24 0 0 1607.69230769231 0 0
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+0 0 0 0 0 24 192 24 0 0 1776.92307692308 0 0
+0 0 0 0 0 24 200 24 0 0 1861.53846153846 0 0
+0 0 0 0 0 24 208 24 0 0 1946.15384615385 0 0
+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 0
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 0
+0 0 0 0 0 24 232 24 0 0 2200 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 0
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 0
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+0 0 1 0 0 24 24 24 0 0 0 0 0
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+0 0 1 0 0 24 32 24 0 0 84.6153846153846 0 0
+0 0 1 0 0 24 36 24 0 0 126.923076923077 0 0
+0 0 1 0 0 24 40 24 0 0 169.230769230769 0 0
+0 0 1 0 0 24 44 24 0 0 211.538461538462 0 0
+0 0 1 0 0 24 48 24 0 0 253.846153846154 0 0
+0 0 1 0 0 24 52 24 0 0 296.153846153846 0 0
+0 0 1 0 0 24 56 24 0 0 338.461538461538 0 0
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+0 0 1 0 0 24 64 24 0 0 423.076923076923 0 0
+0 0 1 0 0 24 68 24 0 0 465.384615384615 0 0
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+0 0 1 0 0 24 76 24 0 0 550 0 0
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+0 0 1 0 0 24 84 24 0 0 634.615384615385 0 0
+0 0 1 0 0 24 88 24 0 0 676.923076923077 0 0
+0 0 1 0 0 24 92 24 0 0 719.230769230769 0 0
+0 0 1 0 0 24 96 24 0 0 761.538461538462 0 0
+0 0 1 0 0 24 100 24 0 0 803.846153846154 0 0
+0 0 1 0 0 24 104 24 0 0 846.153846153846 0 0
+0 0 1 0 0 24 108 24 0 0 888.461538461538 0 0
+0 0 1 0 0 24 112 24 0 0 930.769230769231 0 0
+0 0 1 0 0 24 116 24 0 0 973.076923076923 0 0
+0 0 1 0 0 24 120 24 0 0 1015.38461538462 0 0
+0 0 1 0 0 24 124 24 0 0 1057.69230769231 0 0
+0 0 1 0 0 24 128 24 0 0 1100 0 0
+0 0 1 0 0 24 132 24 0 0 1142.30769230769 0 0
+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 18 24 0 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0
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+0 0 2 0 0 24 34 24 0 7.105427357601e-15 105.769230769231 7.105427357601e-15 0
+0 0 2 0 0 24 36 24 0 7.105427357601e-15 126.923076923077 7.105427357601e-15 0
+0 0 2 0 0 24 38 24 0 7.105427357601e-15 148.076923076923 7.105427357601e-15 0
+0 0 2 0 0 24 40 24 0 7.105427357601e-15 169.230769230769 7.105427357601e-15 0
+0 0 2 0 0 24 42 24 0 7.105427357601e-15 190.384615384615 7.105427357601e-15 0
+0 0 2 0 0 24 44 24 0 7.105427357601e-15 211.538461538462 7.105427357601e-15 0
+0 0 2 0 0 24 46 24 0 7.105427357601e-15 232.692307692308 7.105427357601e-15 0
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+0 0 2 0 0 24 50 24 0 7.105427357601e-15 275 7.105427357601e-15 0
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+0 0 2 0 0 24 54 24 0 7.105427357601e-15 317.307692307692 7.105427357601e-15 0
+0 0 2 0 0 24 56 24 0 7.105427357601e-15 338.461538461538 7.105427357601e-15 0
+0 0 2 0 0 24 58 24 0 7.105427357601e-15 359.615384615385 7.105427357601e-15 0
+0 0 2 0 0 24 60 24 0 7.105427357601e-15 380.769230769231 7.105427357601e-15 0
+0 0 2 0 0 24 62 24 0 7.105427357601e-15 401.923076923077 7.105427357601e-15 0
+0 0 2 0 0 24 64 24 0 7.105427357601e-15 423.076923076923 7.105427357601e-15 0
+0 0 2 0 0 24 66 24 0 7.105427357601e-15 444.230769230769 7.105427357601e-15 0
+0 0 2 0 0 24 68 24 0 7.105427357601e-15 465.384615384615 7.105427357601e-15 0
+0 0 2 0 0 24 70 24 0 7.105427357601e-15 486.538461538462 7.105427357601e-15 0
+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+0 0 2 0 0 24 74 24 0 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 0
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 2.91640172361375e-21
+4 0 1 0 0 24 16 24 15.8653846153846 0 -84.6153846153846 0 -6.9395872762948e-22
+4 0 1 0 0 24 20 24 15.8653846153846 0 -42.3076923076923 0 3.40900970520302e-20
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 -3.79283853580262e-21
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+4 0 1 0 0 24 32 24 15.8653846153846 0 84.6153846153846 0 -6.9395872762948e-22
+4 0 1 0 0 24 36 24 15.8653846153846 0 126.923076923077 0 2.91640172361375e-21
+4 0 1 0 0 24 40 24 15.8653846153846 0 169.230769230769 0 8.9618634549896e-22
+4 0 1 0 0 24 44 24 15.8653846153846 0 211.538461538462 0 5.56412040087954e-20
+4 0 1 0 0 24 48 24 15.8653846153846 0 253.846153846154 0 -3.35123585536953e-20
+4 0 1 0 0 24 52 24 15.8653846153846 0 296.153846153846 0 7.00295053363963e-22
+4 0 1 0 0 24 56 24 15.8653846153846 0 338.461538461538 0 2.51947132038261e-43
+4 0 1 0 0 24 60 24 15.8653846153846 0 380.769230769231 0 -3.41464054176719e-39
+4 0 1 0 0 24 64 24 15.8653846153846 0 423.076923076923 0 1.30777517507613e-22
+4 0 1 0 0 24 68 24 15.8653846153846 0 465.384615384615 0 1.05240043336361e-20
+4 0 1 0 0 24 72 24 15.8653846153846 0 507.692307692308 0 0
+4 0 1 0 0 24 76 24 15.8653846153846 0 550 0 0
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+4 0 1 0 0 24 108 24 15.8653846153846 0 888.461538461538 0 -2.79441896564235e-20
+4 0 1 0 0 24 112 24 15.8653846153846 0 930.769230769231 0 4.56487687087899e-67
+4 0 1 0 0 24 116 24 15.8653846153846 0 973.076923076923 0 3.10261413833003e-21
+4 0 1 0 0 24 120 24 15.8653846153846 0 1015.38461538462 0 0
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+4 0 1 0 0 24 128 24 15.8653846153846 0 1100 0 0
+4 0 1 0 0 24 132 24 15.8653846153846 0 1142.30769230769 0 0
+4 0 1 0 0 24 136 24 15.8653846153846 0 1184.61538461538 0 0
+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 18 24 15.8653846153846 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 -2.37766843448136e-21
+4 0 2 0 0 24 20 24 15.8653846153846 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 3.40900970520302e-20
+4 0 2 0 0 24 22 24 15.8653846153846 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 1.93741891990732e-20
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+4 0 2 0 0 24 48 24 15.8653846153846 7.105427357601e-15 253.846153846154 7.105427357601e-15 -3.35123585536953e-20
+4 0 2 0 0 24 50 24 15.8653846153846 7.105427357601e-15 275 7.105427357601e-15 2.97523519708346e-21
+4 0 2 0 0 24 52 24 15.8653846153846 7.105427357601e-15 296.153846153846 7.105427357601e-15 7.00295053363963e-22
+4 0 2 0 0 24 54 24 15.8653846153846 7.105427357601e-15 317.307692307692 7.105427357601e-15 8.38345752463105e-40
+4 0 2 0 0 24 56 24 15.8653846153846 7.105427357601e-15 338.461538461538 7.105427357601e-15 2.51947132038261e-43
+4 0 2 0 0 24 58 24 15.8653846153846 7.105427357601e-15 359.615384615385 7.105427357601e-15 -3.28331801367339e-42
+4 0 2 0 0 24 60 24 15.8653846153846 7.105427357601e-15 380.769230769231 7.105427357601e-15 -3.41464054176719e-39
+4 0 2 0 0 24 62 24 15.8653846153846 7.105427357601e-15 401.923076923077 7.105427357601e-15 3.29673361376456e-22
+4 0 2 0 0 24 64 24 15.8653846153846 7.105427357601e-15 423.076923076923 7.105427357601e-15 1.30777517507613e-22
+4 0 2 0 0 24 66 24 15.8653846153846 7.105427357601e-15 444.230769230769 7.105427357601e-15 5.9952500063868e-21
+4 0 2 0 0 24 68 24 15.8653846153846 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.05240043336361e-20
+4 0 2 0 0 24 70 24 15.8653846153846 7.105427357601e-15 486.538461538462 7.105427357601e-15 5.90964392660059e-21
+4 0 2 0 0 24 72 24 15.8653846153846 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+4 0 2 0 0 24 74 24 15.8653846153846 7.105427357601e-15 528.846153846154 7.105427357601e-15 -6.57110188729562e-22
+4 0 2 0 0 24 76 24 15.8653846153846 7.105427357601e-15 550 7.105427357601e-15 0
+4 0 2 0 0 24 78 24 15.8653846153846 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+4 0 2 0 0 24 80 24 15.8653846153846 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+4 0 2 0 0 24 82 24 15.8653846153846 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 0 24 31.7307692307692 0 -253.846153846154 0 2.91534499950341e-20
+8 0 0 0 0 24 8 24 31.7307692307692 0 -169.230769230769 0 -7.26291117568295e-21
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+8 0 0 0 0 24 40 24 31.7307692307692 0 169.230769230769 0 -7.26291117568295e-21
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+8 0 0 0 0 24 56 24 31.7307692307692 0 338.461538461539 0 1.82283319052476e-23
+8 0 0 0 0 24 64 24 31.7307692307692 0 423.076923076923 0 -8.96664777185207e-22
+8 0 0 0 0 24 72 24 31.7307692307692 0 507.692307692308 0 7.23867961800225e-22
+8 0 0 0 0 24 80 24 31.7307692307692 0 592.307692307692 0 3.13220869201265e-64
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 9.22724041601453e-83
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 2.46059741268104e-82
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 140 24 79.3269230769231 0 1226.92307692308 0 7.70901266759253e-26
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 2 0 0 24 78 24 79.3269230769231 7.105427357601e-15 571.153846153846 7.105427357601e-15 2.75898010147939e-22
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 72 24 111.057692307692 0 507.692307692308 0 -2.98014462154776e-21
+28 0 1 0 0 24 76 24 111.057692307692 0 550 0 -7.67352117327064e-22
+28 0 1 0 0 24 80 24 111.057692307692 0 592.307692307692 0 6.5500949539359e-24
+28 0 1 0 0 24 84 24 111.057692307692 0 634.615384615385 0 1.82294765725651e-23
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+28 0 1 0 0 24 96 24 111.057692307692 0 761.538461538462 0 5.99564581848802e-22
+28 0 1 0 0 24 100 24 111.057692307692 0 803.846153846154 0 2.14080297838043e-21
+28 0 1 0 0 24 104 24 111.057692307692 0 846.153846153846 0 -9.83588688869912e-22
+28 0 1 0 0 24 108 24 111.057692307692 0 888.461538461538 0 1.40262950602997e-21
+28 0 1 0 0 24 112 24 111.057692307692 0 930.769230769231 0 4.70996932025082e-22
+28 0 1 0 0 24 116 24 111.057692307692 0 973.076923076923 0 7.76819051931649e-23
+28 0 1 0 0 24 120 24 111.057692307692 0 1015.38461538462 0 -1.06162354463761e-22
+28 0 1 0 0 24 124 24 111.057692307692 0 1057.69230769231 0 -9.43841290609538e-23
+28 0 1 0 0 24 128 24 111.057692307692 0 1100 0 -9.40943768938398e-24
+28 0 1 0 0 24 132 24 111.057692307692 0 1142.30769230769 0 1.21107083956792e-24
+28 0 1 0 0 24 136 24 111.057692307692 0 1184.61538461538 0 -2.25351964181831e-25
+28 0 1 0 0 24 140 24 111.057692307692 0 1226.92307692308 0 4.60307436402581e-25
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 62 24 111.057692307692 7.105427357601e-15 401.923076923077 7.105427357601e-15 1.01471578335756e-20
+28 0 2 0 0 24 64 24 111.057692307692 7.105427357601e-15 423.076923076923 7.105427357601e-15 6.0294546974263e-20
+28 0 2 0 0 24 66 24 111.057692307692 7.105427357601e-15 444.230769230769 7.105427357601e-15 3.31247966498552e-20
+28 0 2 0 0 24 68 24 111.057692307692 7.105427357601e-15 465.384615384615 7.105427357601e-15 -2.01196792421352e-21
+28 0 2 0 0 24 70 24 111.057692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 -6.52490480875288e-21
+28 0 2 0 0 24 72 24 111.057692307692 7.105427357601e-15 507.692307692308 7.105427357601e-15 -2.98014462154776e-21
+28 0 2 0 0 24 74 24 111.057692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 -1.98235015769902e-21
+28 0 2 0 0 24 76 24 111.057692307692 7.105427357601e-15 550 7.105427357601e-15 -7.67352117327064e-22
+28 0 2 0 0 24 78 24 111.057692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 -2.42873691075404e-22
+28 0 2 0 0 24 80 24 111.057692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 6.5500949539359e-24
+28 0 2 0 0 24 82 24 111.057692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 6.2828589377371e-23
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 33 24 111.057692307692 7.105427357601e-15 95.1923076923077 7.105427357601e-15 1.9287255784364e-19
+28 0 3 0 0 24 34 24 111.057692307692 7.105427357601e-15 105.769230769231 7.105427357601e-15 1.44260085171064e-19
+28 0 3 0 0 24 35 24 111.057692307692 7.105427357601e-15 116.346153846154 7.105427357601e-15 4.8054745961455e-19
+28 0 3 0 0 24 36 24 111.057692307692 7.105427357601e-15 126.923076923077 7.105427357601e-15 1.55205860310072e-19
+28 0 3 0 0 24 37 24 111.057692307692 7.105427357601e-15 137.5 7.105427357601e-15 -9.78822026407759e-21
+28 0 3 0 0 24 38 24 111.057692307692 7.105427357601e-15 148.076923076923 7.105427357601e-15 -3.88034516532552e-20
+28 0 3 0 0 24 39 24 111.057692307692 7.105427357601e-15 158.653846153846 7.105427357601e-15 1.32691393414238e-21
+28 0 3 0 0 24 40 24 111.057692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 -1.59960668630377e-19
+28 0 3 0 0 24 41 24 111.057692307692 7.105427357601e-15 179.807692307692 7.105427357601e-15 6.05673434410873e-20
+28 0 3 0 0 24 42 24 111.057692307692 7.105427357601e-15 190.384615384615 7.105427357601e-15 -8.87539982456557e-20
+28 0 3 0 0 24 43 24 111.057692307692 7.105427357601e-15 200.961538461539 7.105427357601e-15 -1.77725789175506e-19
+28 0 3 0 0 24 44 24 111.057692307692 7.105427357601e-15 211.538461538462 7.105427357601e-15 -1.91082524564954e-19
+28 0 3 0 0 24 45 24 111.057692307692 7.105427357601e-15 222.115384615385 7.105427357601e-15 -8.46821490369798e-20
+28 0 3 0 0 24 46 24 111.057692307692 7.105427357601e-15 232.692307692308 7.105427357601e-15 3.26568220016752e-20
+28 0 3 0 0 24 47 24 111.057692307692 7.105427357601e-15 243.269230769231 7.105427357601e-15 3.9062671567915e-20
+28 0 3 0 0 24 48 24 111.057692307692 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.80591276690172e-20
+28 0 3 0 0 24 49 24 111.057692307692 7.105427357601e-15 264.423076923077 7.105427357601e-15 2.0621510441578e-20
+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 2.24194143465597e-20
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 1.27147817115036e-20
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.72523872303929e-21
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 -2.744668191143e-21
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxz.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/kxz.z.asc
new file mode 100644
index 000000000..d0c55c595
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxz.z.asc
@@ -0,0 +1,864 @@
+# ADMBASE::kxz z (kxz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 0
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 0
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 0 0 0 24 24 48 0 0 0 253.846153846154 0
+0 0 0 0 0 24 24 56 0 0 0 338.461538461539 0
+0 0 0 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 0 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 0 0 0 24 24 80 0 0 0 592.307692307692 0
+0 0 0 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 0 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 0 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 0 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 0 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 0 0 0 24 24 128 0 0 0 1100 0
+0 0 0 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 0
+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 0
+0 0 0 0 0 24 24 160 0 0 0 1438.46153846154 0
+0 0 0 0 0 24 24 168 0 0 0 1523.07692307692 0
+0 0 0 0 0 24 24 176 0 0 0 1607.69230769231 0
+0 0 0 0 0 24 24 184 0 0 0 1692.30769230769 0
+0 0 0 0 0 24 24 192 0 0 0 1776.92307692308 0
+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 0
+0 0 0 0 0 24 24 208 0 0 0 1946.15384615385 0
+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 0
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 0
+0 0 0 0 0 24 24 232 0 0 0 2200 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 0
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 24 24 28 0 0 0 42.3076923076923 0
+0 0 1 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 1 0 0 24 24 36 0 0 0 126.923076923077 0
+0 0 1 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 1 0 0 24 24 44 0 0 0 211.538461538462 0
+0 0 1 0 0 24 24 48 0 0 0 253.846153846154 0
+0 0 1 0 0 24 24 52 0 0 0 296.153846153846 0
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+0 0 1 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 1 0 0 24 24 68 0 0 0 465.384615384615 0
+0 0 1 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 1 0 0 24 24 76 0 0 0 550 0
+0 0 1 0 0 24 24 80 0 0 0 592.307692307692 0
+0 0 1 0 0 24 24 84 0 0 0 634.615384615385 0
+0 0 1 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 1 0 0 24 24 92 0 0 0 719.230769230769 0
+0 0 1 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 1 0 0 24 24 100 0 0 0 803.846153846154 0
+0 0 1 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 1 0 0 24 24 108 0 0 0 888.461538461538 0
+0 0 1 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 1 0 0 24 24 116 0 0 0 973.076923076923 0
+0 0 1 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 1 0 0 24 24 124 0 0 0 1057.69230769231 0
+0 0 1 0 0 24 24 128 0 0 0 1100 0
+0 0 1 0 0 24 24 132 0 0 0 1142.30769230769 0
+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
+0 0 2 0 0 24 24 20 0 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 0
+0 0 2 0 0 24 24 22 0 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
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+0 0 2 0 0 24 24 28 0 7.105427357601e-15 7.105427357601e-15 42.3076923076923 0
+0 0 2 0 0 24 24 30 0 7.105427357601e-15 7.105427357601e-15 63.4615384615385 0
+0 0 2 0 0 24 24 32 0 7.105427357601e-15 7.105427357601e-15 84.6153846153846 0
+0 0 2 0 0 24 24 34 0 7.105427357601e-15 7.105427357601e-15 105.769230769231 0
+0 0 2 0 0 24 24 36 0 7.105427357601e-15 7.105427357601e-15 126.923076923077 0
+0 0 2 0 0 24 24 38 0 7.105427357601e-15 7.105427357601e-15 148.076923076923 0
+0 0 2 0 0 24 24 40 0 7.105427357601e-15 7.105427357601e-15 169.230769230769 0
+0 0 2 0 0 24 24 42 0 7.105427357601e-15 7.105427357601e-15 190.384615384615 0
+0 0 2 0 0 24 24 44 0 7.105427357601e-15 7.105427357601e-15 211.538461538462 0
+0 0 2 0 0 24 24 46 0 7.105427357601e-15 7.105427357601e-15 232.692307692308 0
+0 0 2 0 0 24 24 48 0 7.105427357601e-15 7.105427357601e-15 253.846153846154 0
+0 0 2 0 0 24 24 50 0 7.105427357601e-15 7.105427357601e-15 275 0
+0 0 2 0 0 24 24 52 0 7.105427357601e-15 7.105427357601e-15 296.153846153846 0
+0 0 2 0 0 24 24 54 0 7.105427357601e-15 7.105427357601e-15 317.307692307692 0
+0 0 2 0 0 24 24 56 0 7.105427357601e-15 7.105427357601e-15 338.461538461538 0
+0 0 2 0 0 24 24 58 0 7.105427357601e-15 7.105427357601e-15 359.615384615385 0
+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 0
+0 0 2 0 0 24 24 62 0 7.105427357601e-15 7.105427357601e-15 401.923076923077 0
+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 0
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 0
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 0
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 0
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 0
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 0
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 1.24753999667647e-19
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 8.94212016891448e-19
+4 0 1 0 0 24 24 20 15.8653846153846 0 0 -42.3076923076923 -1.2490658004274e-18
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+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 9.90842083324262e-23
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 24 70 31.7307692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 2.21480541097893e-15
+8 0 2 0 0 24 24 72 31.7307692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 4.6007813407025e-17
+8 0 2 0 0 24 24 74 31.7307692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 -1.71823622713232e-16
+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 -2.47846571129465e-30
+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 -2.8727694467176e-18
+8 0 2 0 0 24 24 80 31.7307692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 -3.99258413895833e-28
+8 0 2 0 0 24 24 82 31.7307692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 -2.2591264294559e-28
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 24 12 47.5961538461538 0 0 -126.923076923077 -2.15688519390104e-20
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+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 1.36132923970286e-33
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.2212716895796e-16
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 1.16159738479124e-17
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 3.63021125862411e-33
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 24 18 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 2.23795319748097e-19
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+16 0 2 0 0 24 24 70 63.4615384615385 7.105427357601e-15 7.105427357601e-15 486.538461538462 -3.42306099438779e-16
+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 8.84907118407469e-16
+16 0 2 0 0 24 24 74 63.4615384615385 7.105427357601e-15 7.105427357601e-15 528.846153846154 6.77340381049422e-16
+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 9.07174219313946e-17
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 -3.00450922481359e-18
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 2.19953855864421e-18
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 -4.42119069544646e-18
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 24 20 79.3269230769231 0 0 -42.3076923076923 3.62587414125012e-19
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+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 5.0261476283297e-20
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 3 0 0 24 24 51 79.3269230769231 7.105427357601e-15 7.105427357601e-15 285.576923076923 1.94294711991483e-18
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 0 0 0 24 24 0 95.1923076923077 0 0 -253.846153846154 -5.92347884129079e-19
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 1 0 0 24 24 12 95.1923076923077 0 0 -126.923076923077 3.58912086916344e-20
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+24 0 1 0 0 24 24 128 95.1923076923077 0 0 1100 -2.14620940843668e-18
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+24 0 1 0 0 24 24 140 95.1923076923077 0 0 1226.92307692308 1.34030600703724e-19
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 2 0 0 24 24 18 95.1923076923077 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 -1.0446623693698e-20
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 24 43 111.057692307692 7.105427357601e-15 7.105427357601e-15 200.961538461539 -3.69603156062357e-19
+28 0 3 0 0 24 24 44 111.057692307692 7.105427357601e-15 7.105427357601e-15 211.538461538462 -1.32620173030824e-19
+28 0 3 0 0 24 24 45 111.057692307692 7.105427357601e-15 7.105427357601e-15 222.115384615385 -2.92288064427684e-19
+28 0 3 0 0 24 24 46 111.057692307692 7.105427357601e-15 7.105427357601e-15 232.692307692308 4.88316718194486e-21
+28 0 3 0 0 24 24 47 111.057692307692 7.105427357601e-15 7.105427357601e-15 243.269230769231 9.2062052064846e-19
+28 0 3 0 0 24 24 48 111.057692307692 7.105427357601e-15 7.105427357601e-15 253.846153846154 3.44308743975801e-18
+28 0 3 0 0 24 24 49 111.057692307692 7.105427357601e-15 7.105427357601e-15 264.423076923077 1.11028735938436e-17
+28 0 3 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 1.64316116377933e-17
+28 0 3 0 0 24 24 51 111.057692307692 7.105427357601e-15 7.105427357601e-15 285.576923076923 3.11379712441807e-17
+28 0 3 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.23825559216945e-18
+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 -1.1276234278757e-16
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxz_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kxz_maximum.xg
new file mode 100644
index 000000000..ca2a25842
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxz_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kxz
+"kxz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 3.4482655332749e-10
+1.5865384615385e+01 9.1564629168981e-10
+2.3798076923077e+01 1.2138753598539e-09
+3.1730769230769e+01 9.3586664441386e-10
+3.9663461538462e+01 1.4962838630251e-09
+4.7596153846154e+01 1.0931579984647e-09
+5.5528846153846e+01 1.4432749667160e-09
+6.3461538461538e+01 1.2739611713514e-09
+7.1394230769231e+01 1.4707016140894e-09
+7.5360576923077e+01 3.3380767575329e-09
+7.9326923076923e+01 1.1833419362906e-09
+8.3293269230769e+01 4.5533911117177e-09
+8.7259615384615e+01 1.7669635231277e-09
+9.1225961538462e+01 2.5531342421717e-09
+9.5192307692308e+01 1.1746219929424e-09
+9.9158653846154e+01 3.8717114437921e-09
+1.0312500000000e+02 2.1738626972969e-09
+1.0709134615385e+02 2.9156038637453e-09
+1.1105769230769e+02 1.9137008957430e-09
+1.1502403846154e+02 2.6311405204875e-09
+1.1899038461538e+02 2.2904753773145e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxz_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kxz_minimum.xg
new file mode 100644
index 000000000..692404d8a
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxz_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kxz
+"kxz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 -3.4482655332749e-10
+1.5865384615385e+01 -9.1564629168981e-10
+2.3798076923077e+01 -1.2138753598539e-09
+3.1730769230769e+01 -9.3586664441386e-10
+3.9663461538462e+01 -1.4962838630251e-09
+4.7596153846154e+01 -1.0603059541928e-09
+5.5528846153846e+01 -1.4432749667160e-09
+6.3461538461538e+01 -1.2739611713514e-09
+7.1394230769231e+01 -1.4707016140894e-09
+7.5360576923077e+01 -3.3380767575329e-09
+7.9326923076923e+01 -1.2908546819442e-09
+8.3293269230769e+01 -4.1912961675929e-09
+8.7259615384615e+01 -1.6749399313472e-09
+9.1225961538462e+01 -2.4013091427358e-09
+9.5192307692308e+01 -1.1746219929424e-09
+9.9158653846154e+01 -3.8717114437921e-09
+1.0312500000000e+02 -2.1738626972969e-09
+1.0709134615385e+02 -2.9156038637453e-09
+1.1105769230769e+02 -1.6682708329798e-09
+1.1502403846154e+02 -2.5073172124365e-09
+1.1899038461538e+02 -2.2904753773145e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxz_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kxz_norm1.xg
new file mode 100644
index 000000000..b81a17bc9
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxz_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kxz
+"kxz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 3.6903865119410e-11
+1.5865384615385e+01 2.2493644094830e-11
+2.3798076923077e+01 1.2701895211054e-10
+3.1730769230769e+01 6.4125439259290e-12
+3.9663461538462e+01 1.3406867179019e-10
+4.7596153846154e+01 3.3728548454976e-11
+5.5528846153846e+01 1.3847491543135e-10
+6.3461538461538e+01 7.7489270809859e-12
+7.1394230769231e+01 1.3381335464342e-10
+7.5360576923077e+01 3.3619745742337e-10
+7.9326923076923e+01 3.8204844972802e-11
+8.3293269230769e+01 4.2464528282676e-10
+8.7259615384615e+01 1.4298663457897e-10
+9.1225961538462e+01 3.0701288418538e-10
+9.5192307692308e+01 8.8055908366872e-12
+9.9158653846154e+01 3.6361814501400e-10
+1.0312500000000e+02 1.3656656671514e-10
+1.0709134615385e+02 3.4536915603656e-10
+1.1105769230769e+02 4.3894141231285e-11
+1.1502403846154e+02 3.2598414590099e-10
+1.1899038461538e+02 1.4121079040553e-10
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kxz_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kxz_norm2.xg
new file mode 100644
index 000000000..5967bbe2c
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kxz_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kxz
+"kxz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 6.5642729849316e-11
+1.5865384615385e+01 8.2108012617124e-11
+2.3798076923077e+01 2.1716646526449e-10
+3.1730769230769e+01 4.1138646946366e-11
+3.9663461538462e+01 2.1372488166368e-10
+4.7596153846154e+01 9.4722371648485e-11
+5.5528846153846e+01 2.2205010560059e-10
+6.3461538461538e+01 5.0352364328875e-11
+7.1394230769231e+01 2.1884071445355e-10
+7.5360576923077e+01 5.0700208678709e-10
+7.9326923076923e+01 1.0353536007443e-10
+8.3293269230769e+01 6.5930533027546e-10
+8.7259615384615e+01 2.3934489988264e-10
+9.1225961538462e+01 4.2650091216120e-10
+9.5192307692308e+01 4.9058345230394e-11
+9.9158653846154e+01 5.4901840156785e-10
+1.0312500000000e+02 2.2614719295943e-10
+1.0709134615385e+02 5.0785314377285e-10
+1.1105769230769e+02 1.1122559870923e-10
+1.1502403846154e+02 4.6124180250674e-10
+1.1899038461538e+02 2.2668126864181e-10
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kyy.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/kyy.x.asc
new file mode 100644
index 000000000..62d5d4cf9
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kyy.x.asc
@@ -0,0 +1,864 @@
+# ADMBASE::kyy x (kyy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 0
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 0
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 0
+0 0 0 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 0 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 0
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+0 0 0 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 0 0 0 128 24 24 0 1100 0 0 0
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 0
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 0
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 0
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 0
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 0
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 0
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 0
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 0
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 0
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 0
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 0
+0 0 0 0 0 232 24 24 0 2200 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 0
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 0
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 0
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 0
+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 1 0 0 52 24 24 0 296.153846153846 0 0 0
+0 0 1 0 0 56 24 24 0 338.461538461538 0 0 0
+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 0
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 0
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 1 0 0 76 24 24 0 550 0 0 0
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 1 0 0 84 24 24 0 634.615384615385 0 0 0
+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 1 0 0 92 24 24 0 719.230769230769 0 0 0
+0 0 1 0 0 96 24 24 0 761.538461538462 0 0 0
+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 0
+0 0 1 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 0
+0 0 1 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 0
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 0
+0 0 1 0 0 128 24 24 0 1100 0 0 0
+0 0 1 0 0 132 24 24 0 1142.30769230769 0 0 0
+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 20 24 24 0 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 22 24 24 0 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 0
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+0 0 2 0 0 26 24 24 0 21.1538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 28 24 24 0 42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 30 24 24 0 63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 32 24 24 0 84.6153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 34 24 24 0 105.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 36 24 24 0 126.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 38 24 24 0 148.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 40 24 24 0 169.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 42 24 24 0 190.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 44 24 24 0 211.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 46 24 24 0 232.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 48 24 24 0 253.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 50 24 24 0 275 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 52 24 24 0 296.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 54 24 24 0 317.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 56 24 24 0 338.461538461538 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 58 24 24 0 359.615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 60 24 24 0 380.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 62 24 24 0 401.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 64 24 24 0 423.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 66 24 24 0 444.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 68 24 24 0 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 70 24 24 0 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 72 24 24 0 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 74 24 24 0 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 76 24 24 0 550 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 78 24 24 0 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 80 24 24 0 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 12 24 24 15.8653846153846 -126.923076923077 0 0 -2.40282906074514e-09
+4 0 1 0 0 16 24 24 15.8653846153846 -84.6153846153846 0 0 1.12236046749107e-09
+4 0 1 0 0 20 24 24 15.8653846153846 -42.3076923076923 0 0 2.85181711264511e-09
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 2.02006738340166e-09
+4 0 1 0 0 28 24 24 15.8653846153846 42.3076923076923 0 0 2.85181711264511e-09
+4 0 1 0 0 32 24 24 15.8653846153846 84.6153846153846 0 0 1.12236046749107e-09
+4 0 1 0 0 36 24 24 15.8653846153846 126.923076923077 0 0 -2.40282906074514e-09
+4 0 1 0 0 40 24 24 15.8653846153846 169.230769230769 0 0 3.04024443129372e-09
+4 0 1 0 0 44 24 24 15.8653846153846 211.538461538462 0 0 -4.210357110613e-09
+4 0 1 0 0 48 24 24 15.8653846153846 253.846153846154 0 0 -4.36462841021328e-09
+4 0 1 0 0 52 24 24 15.8653846153846 296.153846153846 0 0 -4.39383567575916e-09
+4 0 1 0 0 56 24 24 15.8653846153846 338.461538461538 0 0 -2.08391934085455e-09
+4 0 1 0 0 60 24 24 15.8653846153846 380.769230769231 0 0 2.60298435443036e-09
+4 0 1 0 0 64 24 24 15.8653846153846 423.076923076923 0 0 -1.68107741610155e-09
+4 0 1 0 0 68 24 24 15.8653846153846 465.384615384615 0 0 1.87918857972446e-10
+4 0 1 0 0 72 24 24 15.8653846153846 507.692307692308 0 0 3.55712362313793e-10
+4 0 1 0 0 76 24 24 15.8653846153846 550 0 0 3.13732354591012e-10
+4 0 1 0 0 80 24 24 15.8653846153846 592.307692307692 0 0 1.54331340445112e-10
+4 0 1 0 0 84 24 24 15.8653846153846 634.615384615385 0 0 -3.15466153254518e-10
+4 0 1 0 0 88 24 24 15.8653846153846 676.923076923077 0 0 1.9189258996861e-10
+4 0 1 0 0 92 24 24 15.8653846153846 719.230769230769 0 0 8.03854621992401e-12
+4 0 1 0 0 96 24 24 15.8653846153846 761.538461538462 0 0 2.25713472054522e-10
+4 0 1 0 0 100 24 24 15.8653846153846 803.846153846154 0 0 -1.37458410909119e-10
+4 0 1 0 0 104 24 24 15.8653846153846 846.153846153846 0 0 3.2624855171496e-11
+4 0 1 0 0 108 24 24 15.8653846153846 888.461538461538 0 0 2.04051466790686e-10
+4 0 1 0 0 112 24 24 15.8653846153846 930.769230769231 0 0 2.31099752084248e-10
+4 0 1 0 0 116 24 24 15.8653846153846 973.076923076923 0 0 2.05349806952583e-10
+4 0 1 0 0 120 24 24 15.8653846153846 1015.38461538462 0 0 1.72277948727991e-10
+4 0 1 0 0 124 24 24 15.8653846153846 1057.69230769231 0 0 1.69123152096851e-10
+4 0 1 0 0 128 24 24 15.8653846153846 1100 0 0 1.6809377289575e-10
+4 0 1 0 0 132 24 24 15.8653846153846 1142.30769230769 0 0 1.47970242436578e-10
+4 0 1 0 0 136 24 24 15.8653846153846 1184.61538461538 0 0 1.26364100159734e-10
+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 1.17016280619652e-10
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 2 0 0 68 24 24 15.8653846153846 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.87918857972446e-10
+4 0 2 0 0 70 24 24 15.8653846153846 486.538461538462 7.105427357601e-15 7.105427357601e-15 3.91158954908813e-10
+4 0 2 0 0 72 24 24 15.8653846153846 507.692307692308 7.105427357601e-15 7.105427357601e-15 3.55712362313793e-10
+4 0 2 0 0 74 24 24 15.8653846153846 528.846153846154 7.105427357601e-15 7.105427357601e-15 3.55166062306177e-10
+4 0 2 0 0 76 24 24 15.8653846153846 550 7.105427357601e-15 7.105427357601e-15 3.13732354591012e-10
+4 0 2 0 0 78 24 24 15.8653846153846 571.153846153846 7.105427357601e-15 7.105427357601e-15 2.60780769547094e-10
+4 0 2 0 0 80 24 24 15.8653846153846 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.54331340445112e-10
+4 0 2 0 0 82 24 24 15.8653846153846 613.461538461538 7.105427357601e-15 7.105427357601e-15 -1.22309698002091e-10
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 0 24 24 31.7307692307692 -253.846153846154 0 0 1.78141948147185e-09
+8 0 0 0 0 8 24 24 31.7307692307692 -169.230769230769 0 0 -1.13020758979633e-09
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+8 0 0 0 0 48 24 24 31.7307692307692 253.846153846154 0 0 1.78141948147185e-09
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+8 0 0 0 0 120 24 24 31.7307692307692 1015.38461538462 0 0 3.44246295971563e-10
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+8 0 0 0 0 168 24 24 31.7307692307692 1523.07692307692 0 0 1.13572447381172e-10
+8 0 0 0 0 176 24 24 31.7307692307692 1607.69230769231 0 0 9.32117319920734e-11
+8 0 0 0 0 184 24 24 31.7307692307692 1692.30769230769 0 0 7.64994298028153e-11
+8 0 0 0 0 192 24 24 31.7307692307692 1776.92307692308 0 0 6.23996442774259e-11
+8 0 0 0 0 200 24 24 31.7307692307692 1861.53846153846 0 0 5.09288251796798e-11
+8 0 0 0 0 208 24 24 31.7307692307692 1946.15384615385 0 0 4.25669670075772e-11
+8 0 0 0 0 216 24 24 31.7307692307692 2030.76923076923 0 0 3.47051498532918e-11
+8 0 0 0 0 224 24 24 31.7307692307692 2115.38461538462 0 0 -9.85364761467395e-12
+8 0 0 0 0 232 24 24 31.7307692307692 2200 0 0 3.44453741848889e-12
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 12 24 24 31.7307692307692 -126.923076923077 0 0 2.49010276653342e-10
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+8 0 1 0 0 36 24 24 31.7307692307692 126.923076923077 0 0 2.49010276653342e-10
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+8 0 1 0 0 44 24 24 31.7307692307692 211.538461538462 0 0 8.17014764209513e-10
+8 0 1 0 0 48 24 24 31.7307692307692 253.846153846154 0 0 1.78141948147185e-09
+8 0 1 0 0 52 24 24 31.7307692307692 296.153846153846 0 0 1.37444513104129e-09
+8 0 1 0 0 56 24 24 31.7307692307692 338.461538461538 0 0 -2.1245020731128e-09
+8 0 1 0 0 60 24 24 31.7307692307692 380.769230769231 0 0 9.57546609923843e-10
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+8 0 1 0 0 92 24 24 31.7307692307692 719.230769230769 0 0 3.35045266404635e-10
+8 0 1 0 0 96 24 24 31.7307692307692 761.538461538462 0 0 2.06434000297377e-10
+8 0 1 0 0 100 24 24 31.7307692307692 803.846153846154 0 0 -2.2938065115375e-10
+8 0 1 0 0 104 24 24 31.7307692307692 846.153846153846 0 0 -1.94404468284954e-12
+8 0 1 0 0 108 24 24 31.7307692307692 888.461538461538 0 0 2.24248001611108e-10
+8 0 1 0 0 112 24 24 31.7307692307692 930.769230769231 0 0 4.61623343363168e-10
+8 0 1 0 0 116 24 24 31.7307692307692 973.076923076923 0 0 4.32372433096647e-10
+8 0 1 0 0 120 24 24 31.7307692307692 1015.38461538462 0 0 3.44246295971563e-10
+8 0 1 0 0 124 24 24 31.7307692307692 1057.69230769231 0 0 3.38020965509271e-10
+8 0 1 0 0 128 24 24 31.7307692307692 1100 0 0 3.36022851551389e-10
+8 0 1 0 0 132 24 24 31.7307692307692 1142.30769230769 0 0 2.9582101190512e-10
+8 0 1 0 0 136 24 24 31.7307692307692 1184.61538461538 0 0 2.5264104715563e-10
+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 2.3396969352262e-10
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 18 24 24 31.7307692307692 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -8.6941927703404e-10
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+8 0 2 0 0 64 24 24 31.7307692307692 423.076923076923 7.105427357601e-15 7.105427357601e-15 -1.95596212195907e-09
+8 0 2 0 0 66 24 24 31.7307692307692 444.230769230769 7.105427357601e-15 7.105427357601e-15 -4.98852414439056e-10
+8 0 2 0 0 68 24 24 31.7307692307692 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.26036627753954e-09
+8 0 2 0 0 70 24 24 31.7307692307692 486.538461538462 7.105427357601e-15 7.105427357601e-15 1.22618363522747e-09
+8 0 2 0 0 72 24 24 31.7307692307692 507.692307692308 7.105427357601e-15 7.105427357601e-15 7.73527813301627e-10
+8 0 2 0 0 74 24 24 31.7307692307692 528.846153846154 7.105427357601e-15 7.105427357601e-15 6.63880064439026e-10
+8 0 2 0 0 76 24 24 31.7307692307692 550 7.105427357601e-15 7.105427357601e-15 6.38057325723488e-10
+8 0 2 0 0 78 24 24 31.7307692307692 571.153846153846 7.105427357601e-15 7.105427357601e-15 7.85092290538163e-10
+8 0 2 0 0 80 24 24 31.7307692307692 592.307692307692 7.105427357601e-15 7.105427357601e-15 8.21862950112448e-10
+8 0 2 0 0 82 24 24 31.7307692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 3.16484856409584e-10
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 12 24 24 47.5961538461538 -126.923076923077 0 0 2.71407833835754e-10
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+12 0 1 0 0 100 24 24 47.5961538461538 803.846153846154 0 0 -9.16051742481008e-11
+12 0 1 0 0 104 24 24 47.5961538461538 846.153846153846 0 0 7.02961205084452e-11
+12 0 1 0 0 108 24 24 47.5961538461538 888.461538461538 0 0 4.53940818613484e-10
+12 0 1 0 0 112 24 24 47.5961538461538 930.769230769231 0 0 6.75964699869322e-10
+12 0 1 0 0 116 24 24 47.5961538461538 973.076923076923 0 0 6.36029009250678e-10
+12 0 1 0 0 120 24 24 47.5961538461538 1015.38461538462 0 0 5.33144533645393e-10
+12 0 1 0 0 124 24 24 47.5961538461538 1057.69230769231 0 0 5.03222097453074e-10
+12 0 1 0 0 128 24 24 47.5961538461538 1100 0 0 4.77349516168306e-10
+12 0 1 0 0 132 24 24 47.5961538461538 1142.30769230769 0 0 4.21652967716393e-10
+12 0 1 0 0 136 24 24 47.5961538461538 1184.61538461538 0 0 3.67065875626284e-10
+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 3.3986190930487e-10
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 18 24 24 47.5961538461538 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -7.318318367008e-10
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+12 0 2 0 0 26 24 24 47.5961538461538 21.1538461538462 7.105427357601e-15 7.105427357601e-15 3.54713856820545e-09
+12 0 2 0 0 28 24 24 47.5961538461538 42.3076923076923 7.105427357601e-15 7.105427357601e-15 -1.73874259053498e-09
+12 0 2 0 0 30 24 24 47.5961538461538 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -7.318318367008e-10
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+12 0 2 0 0 38 24 24 47.5961538461538 148.076923076923 7.105427357601e-15 7.105427357601e-15 2.63193974194137e-09
+12 0 2 0 0 40 24 24 47.5961538461538 169.230769230769 7.105427357601e-15 7.105427357601e-15 2.74627431806513e-10
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+12 0 2 0 0 46 24 24 47.5961538461538 232.692307692308 7.105427357601e-15 7.105427357601e-15 -3.05339089244339e-09
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+12 0 2 0 0 50 24 24 47.5961538461538 275 7.105427357601e-15 7.105427357601e-15 -2.8889389375134e-09
+12 0 2 0 0 52 24 24 47.5961538461538 296.153846153846 7.105427357601e-15 7.105427357601e-15 2.96842346077354e-09
+12 0 2 0 0 54 24 24 47.5961538461538 317.307692307692 7.105427357601e-15 7.105427357601e-15 -3.51738801428475e-09
+12 0 2 0 0 56 24 24 47.5961538461538 338.461538461538 7.105427357601e-15 7.105427357601e-15 3.11845179609552e-09
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+12 0 2 0 0 62 24 24 47.5961538461538 401.923076923077 7.105427357601e-15 7.105427357601e-15 -3.35799394474031e-10
+12 0 2 0 0 64 24 24 47.5961538461538 423.076923076923 7.105427357601e-15 7.105427357601e-15 9.70473140961858e-10
+12 0 2 0 0 66 24 24 47.5961538461538 444.230769230769 7.105427357601e-15 7.105427357601e-15 1.34434568787907e-09
+12 0 2 0 0 68 24 24 47.5961538461538 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.18571845751993e-09
+12 0 2 0 0 70 24 24 47.5961538461538 486.538461538462 7.105427357601e-15 7.105427357601e-15 9.06057767269257e-10
+12 0 2 0 0 72 24 24 47.5961538461538 507.692307692308 7.105427357601e-15 7.105427357601e-15 5.80303480210894e-10
+12 0 2 0 0 74 24 24 47.5961538461538 528.846153846154 7.105427357601e-15 7.105427357601e-15 4.39963269418658e-10
+12 0 2 0 0 76 24 24 47.5961538461538 550 7.105427357601e-15 7.105427357601e-15 4.25547113868442e-10
+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 6.41119067018654e-10
+12 0 2 0 0 80 24 24 47.5961538461538 592.307692307692 7.105427357601e-15 7.105427357601e-15 8.2744431963103e-10
+12 0 2 0 0 82 24 24 47.5961538461538 613.461538461538 7.105427357601e-15 7.105427357601e-15 7.01234308946234e-10
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 0 24 24 63.4615384615385 -253.846153846154 0 0 -2.93282797066277e-09
+16 0 0 0 0 8 24 24 63.4615384615385 -169.230769230769 0 0 6.98669013813702e-10
+16 0 0 0 0 16 24 24 63.4615384615385 -84.6153846153846 0 0 -6.40228481079844e-10
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+16 0 0 0 0 40 24 24 63.4615384615385 169.230769230769 0 0 6.98669013813702e-10
+16 0 0 0 0 48 24 24 63.4615384615385 253.846153846154 0 0 -2.93282797066277e-09
+16 0 0 0 0 56 24 24 63.4615384615385 338.461538461539 0 0 9.2119894274268e-10
+16 0 0 0 0 64 24 24 63.4615384615385 423.076923076923 0 0 2.15836270831711e-09
+16 0 0 0 0 72 24 24 63.4615384615385 507.692307692308 0 0 1.91998536593946e-10
+16 0 0 0 0 80 24 24 63.4615384615385 592.307692307692 0 0 5.06292272541612e-11
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+16 0 0 0 0 104 24 24 63.4615384615385 846.153846153846 0 0 1.86183484584444e-10
+16 0 0 0 0 112 24 24 63.4615384615385 930.769230769231 0 0 8.79325841250434e-10
+16 0 0 0 0 120 24 24 63.4615384615385 1015.38461538462 0 0 7.33226159332356e-10
+16 0 0 0 0 128 24 24 63.4615384615385 1100 0 0 6.00886338184013e-10
+16 0 0 0 0 136 24 24 63.4615384615385 1184.61538461538 0 0 4.73560239341427e-10
+16 0 0 0 0 144 24 24 63.4615384615385 1269.23076923077 0 0 4.12495402224809e-10
+16 0 0 0 0 152 24 24 63.4615384615385 1353.84615384615 0 0 3.59918151987683e-10
+16 0 0 0 0 160 24 24 63.4615384615385 1438.46153846154 0 0 2.74448353705266e-10
+16 0 0 0 0 168 24 24 63.4615384615385 1523.07692307692 0 0 2.25034930084817e-10
+16 0 0 0 0 176 24 24 63.4615384615385 1607.69230769231 0 0 1.84151211648669e-10
+16 0 0 0 0 184 24 24 63.4615384615385 1692.30769230769 0 0 1.50898270697501e-10
+16 0 0 0 0 192 24 24 63.4615384615385 1776.92307692308 0 0 1.23828252887799e-10
+16 0 0 0 0 200 24 24 63.4615384615385 1861.53846153846 0 0 1.01012437347762e-10
+16 0 0 0 0 208 24 24 63.4615384615385 1946.15384615385 0 0 8.24675067176869e-11
+16 0 0 0 0 216 24 24 63.4615384615385 2030.76923076923 0 0 6.920858327804e-11
+16 0 0 0 0 224 24 24 63.4615384615385 2115.38461538462 0 0 -5.70983490173421e-11
+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 -4.62564279877555e-11
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 12 24 24 63.4615384615385 -126.923076923077 0 0 1.65091244514522e-09
+16 0 1 0 0 16 24 24 63.4615384615385 -84.6153846153846 0 0 -6.40228481079844e-10
+16 0 1 0 0 20 24 24 63.4615384615385 -42.3076923076923 0 0 1.83532388314706e-09
+16 0 1 0 0 24 24 24 63.4615384615385 0 0 0 1.2011066219441e-09
+16 0 1 0 0 28 24 24 63.4615384615385 42.3076923076923 0 0 1.83532388314706e-09
+16 0 1 0 0 32 24 24 63.4615384615385 84.6153846153846 0 0 -6.40228481079844e-10
+16 0 1 0 0 36 24 24 63.4615384615385 126.923076923077 0 0 1.65091244514522e-09
+16 0 1 0 0 40 24 24 63.4615384615385 169.230769230769 0 0 6.98669013813702e-10
+16 0 1 0 0 44 24 24 63.4615384615385 211.538461538462 0 0 -8.35824486100195e-11
+16 0 1 0 0 48 24 24 63.4615384615385 253.846153846154 0 0 -2.93282797066277e-09
+16 0 1 0 0 52 24 24 63.4615384615385 296.153846153846 0 0 -1.64822706075446e-09
+16 0 1 0 0 56 24 24 63.4615384615385 338.461538461538 0 0 9.2119894274268e-10
+16 0 1 0 0 60 24 24 63.4615384615385 380.769230769231 0 0 -2.79418807412844e-10
+16 0 1 0 0 64 24 24 63.4615384615385 423.076923076923 0 0 2.15836270831711e-09
+16 0 1 0 0 68 24 24 63.4615384615385 465.384615384615 0 0 4.32228525585293e-10
+16 0 1 0 0 72 24 24 63.4615384615385 507.692307692308 0 0 1.91998536593946e-10
+16 0 1 0 0 76 24 24 63.4615384615385 550 0 0 -7.35004492135118e-11
+16 0 1 0 0 80 24 24 63.4615384615385 592.307692307692 0 0 5.06292272541612e-11
+16 0 1 0 0 84 24 24 63.4615384615385 634.615384615385 0 0 5.65354143534442e-10
+16 0 1 0 0 88 24 24 63.4615384615385 676.923076923077 0 0 1.2054115718505e-10
+16 0 1 0 0 92 24 24 63.4615384615385 719.230769230769 0 0 4.46150832934448e-10
+16 0 1 0 0 96 24 24 63.4615384615385 761.538461538462 0 0 -6.71101592845351e-11
+16 0 1 0 0 100 24 24 63.4615384615385 803.846153846154 0 0 2.38811927438466e-10
+16 0 1 0 0 104 24 24 63.4615384615385 846.153846153846 0 0 1.86183484584444e-10
+16 0 1 0 0 108 24 24 63.4615384615385 888.461538461538 0 0 5.57810918097436e-10
+16 0 1 0 0 112 24 24 63.4615384615385 930.769230769231 0 0 8.79325841250434e-10
+16 0 1 0 0 116 24 24 63.4615384615385 973.076923076923 0 0 8.57806117648532e-10
+16 0 1 0 0 120 24 24 63.4615384615385 1015.38461538462 0 0 7.33226159332356e-10
+16 0 1 0 0 124 24 24 63.4615384615385 1057.69230769231 0 0 6.65883658777167e-10
+16 0 1 0 0 128 24 24 63.4615384615385 1100 0 0 6.00886338184013e-10
+16 0 1 0 0 132 24 24 63.4615384615385 1142.30769230769 0 0 5.32765888651674e-10
+16 0 1 0 0 136 24 24 63.4615384615385 1184.61538461538 0 0 4.73560239341427e-10
+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 4.38359036577577e-10
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 18 24 24 63.4615384615385 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.96538941030809e-09
+16 0 2 0 0 20 24 24 63.4615384615385 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.83532388314706e-09
+16 0 2 0 0 22 24 24 63.4615384615385 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.82007912251401e-09
+16 0 2 0 0 24 24 24 63.4615384615385 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.2011066219441e-09
+16 0 2 0 0 26 24 24 63.4615384615385 21.1538461538462 7.105427357601e-15 7.105427357601e-15 1.82007912251401e-09
+16 0 2 0 0 28 24 24 63.4615384615385 42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.83532388314706e-09
+16 0 2 0 0 30 24 24 63.4615384615385 63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.96538941030809e-09
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+16 0 2 0 0 36 24 24 63.4615384615385 126.923076923077 7.105427357601e-15 7.105427357601e-15 1.65091244514522e-09
+16 0 2 0 0 38 24 24 63.4615384615385 148.076923076923 7.105427357601e-15 7.105427357601e-15 -1.52779333658551e-09
+16 0 2 0 0 40 24 24 63.4615384615385 169.230769230769 7.105427357601e-15 7.105427357601e-15 6.98669013813702e-10
+16 0 2 0 0 42 24 24 63.4615384615385 190.384615384615 7.105427357601e-15 7.105427357601e-15 4.34099504801209e-10
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+16 0 2 0 0 46 24 24 63.4615384615385 232.692307692308 7.105427357601e-15 7.105427357601e-15 1.34510531739166e-09
+16 0 2 0 0 48 24 24 63.4615384615385 253.846153846154 7.105427357601e-15 7.105427357601e-15 -2.93282797066277e-09
+16 0 2 0 0 50 24 24 63.4615384615385 275 7.105427357601e-15 7.105427357601e-15 3.35225252427951e-09
+16 0 2 0 0 52 24 24 63.4615384615385 296.153846153846 7.105427357601e-15 7.105427357601e-15 -1.64822706075446e-09
+16 0 2 0 0 54 24 24 63.4615384615385 317.307692307692 7.105427357601e-15 7.105427357601e-15 -3.10700831239662e-10
+16 0 2 0 0 56 24 24 63.4615384615385 338.461538461538 7.105427357601e-15 7.105427357601e-15 9.2119894274268e-10
+16 0 2 0 0 58 24 24 63.4615384615385 359.615384615385 7.105427357601e-15 7.105427357601e-15 -1.04430390141329e-09
+16 0 2 0 0 60 24 24 63.4615384615385 380.769230769231 7.105427357601e-15 7.105427357601e-15 -2.79418807412844e-10
+16 0 2 0 0 62 24 24 63.4615384615385 401.923076923077 7.105427357601e-15 7.105427357601e-15 2.19716249666367e-09
+16 0 2 0 0 64 24 24 63.4615384615385 423.076923076923 7.105427357601e-15 7.105427357601e-15 2.15836270831711e-09
+16 0 2 0 0 66 24 24 63.4615384615385 444.230769230769 7.105427357601e-15 7.105427357601e-15 1.46231910565328e-09
+16 0 2 0 0 68 24 24 63.4615384615385 465.384615384615 7.105427357601e-15 7.105427357601e-15 4.32228525585293e-10
+16 0 2 0 0 70 24 24 63.4615384615385 486.538461538462 7.105427357601e-15 7.105427357601e-15 2.20917247298425e-10
+16 0 2 0 0 72 24 24 63.4615384615385 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.91998536593946e-10
+16 0 2 0 0 74 24 24 63.4615384615385 528.846153846154 7.105427357601e-15 7.105427357601e-15 3.64522572844243e-11
+16 0 2 0 0 76 24 24 63.4615384615385 550 7.105427357601e-15 7.105427357601e-15 -7.35004492135118e-11
+16 0 2 0 0 78 24 24 63.4615384615385 571.153846153846 7.105427357601e-15 7.105427357601e-15 -6.01983341462647e-11
+16 0 2 0 0 80 24 24 63.4615384615385 592.307692307692 7.105427357601e-15 7.105427357601e-15 5.06292272541612e-11
+16 0 2 0 0 82 24 24 63.4615384615385 613.461538461538 7.105427357601e-15 7.105427357601e-15 3.4362404192246e-10
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 12 24 24 79.3269230769231 -126.923076923077 0 0 -4.82580364589447e-10
+20 0 1 0 0 16 24 24 79.3269230769231 -84.6153846153846 0 0 -1.55290981753375e-10
+20 0 1 0 0 20 24 24 79.3269230769231 -42.3076923076923 0 0 3.68689207582553e-10
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+20 0 1 0 0 40 24 24 79.3269230769231 169.230769230769 0 0 -1.05470237194212e-09
+20 0 1 0 0 44 24 24 79.3269230769231 211.538461538462 0 0 -1.87613645533644e-09
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+20 0 1 0 0 52 24 24 79.3269230769231 296.153846153846 0 0 -2.64316497624953e-09
+20 0 1 0 0 56 24 24 79.3269230769231 338.461538461538 0 0 -1.3420220118943e-09
+20 0 1 0 0 60 24 24 79.3269230769231 380.769230769231 0 0 7.06426654195159e-10
+20 0 1 0 0 64 24 24 79.3269230769231 423.076923076923 0 0 3.42262051940377e-10
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+20 0 1 0 0 72 24 24 79.3269230769231 507.692307692308 0 0 -7.54569379342246e-11
+20 0 1 0 0 76 24 24 79.3269230769231 550 0 0 -2.94139116719491e-10
+20 0 1 0 0 80 24 24 79.3269230769231 592.307692307692 0 0 -4.4118469998725e-10
+20 0 1 0 0 84 24 24 79.3269230769231 634.615384615385 0 0 1.92495826389227e-10
+20 0 1 0 0 88 24 24 79.3269230769231 676.923076923077 0 0 3.03722588100135e-10
+20 0 1 0 0 92 24 24 79.3269230769231 719.230769230769 0 0 2.54315118352621e-10
+20 0 1 0 0 96 24 24 79.3269230769231 761.538461538462 0 0 2.54799834459804e-10
+20 0 1 0 0 100 24 24 79.3269230769231 803.846153846154 0 0 4.4312653789423e-10
+20 0 1 0 0 104 24 24 79.3269230769231 846.153846153846 0 0 2.34305553631625e-10
+20 0 1 0 0 108 24 24 79.3269230769231 888.461538461538 0 0 7.08166637174162e-10
+20 0 1 0 0 112 24 24 79.3269230769231 930.769230769231 0 0 1.01449143195733e-09
+20 0 1 0 0 116 24 24 79.3269230769231 973.076923076923 0 0 1.00565476573499e-09
+20 0 1 0 0 120 24 24 79.3269230769231 1015.38461538462 0 0 8.93047271686676e-10
+20 0 1 0 0 124 24 24 79.3269230769231 1057.69230769231 0 0 8.08106814896478e-10
+20 0 1 0 0 128 24 24 79.3269230769231 1100 0 0 7.21483757367091e-10
+20 0 1 0 0 132 24 24 79.3269230769231 1142.30769230769 0 0 6.48553531478712e-10
+20 0 1 0 0 136 24 24 79.3269230769231 1184.61538461538 0 0 5.86498394180713e-10
+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 5.39807261254483e-10
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 18 24 24 79.3269230769231 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -1.08877698618052e-09
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 120 24 24 111.057692307692 1015.38461538462 0 0 1.14060212037344e-09
+28 0 1 0 0 124 24 24 111.057692307692 1057.69230769231 0 0 1.05039728561039e-09
+28 0 1 0 0 128 24 24 111.057692307692 1100 0 0 9.41659730994934e-10
+28 0 1 0 0 132 24 24 111.057692307692 1142.30769230769 0 0 8.71242125845741e-10
+28 0 1 0 0 136 24 24 111.057692307692 1184.61538461538 0 0 8.08853303637051e-10
+28 0 1 0 0 140 24 24 111.057692307692 1226.92307692308 0 0 7.39685383016492e-10
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 9.15521677337533e-10
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.20064115892682e-09
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 -4.84483037196521e-10
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kyy.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/kyy.y.asc
new file mode 100644
index 000000000..40364e0a5
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kyy.y.asc
@@ -0,0 +1,864 @@
+# ADMBASE::kyy y (kyy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 0
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 0
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+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 3.79490630767317e-10
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 200 24 63.4615384615385 0 1861.53846153846 0 1.03998606143635e-10
+16 0 0 0 0 24 208 24 63.4615384615385 0 1946.15384615385 0 8.76800598905567e-11
+16 0 0 0 0 24 216 24 63.4615384615385 0 2030.76923076923 0 2.84555768960904e-11
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+16 0 0 0 0 24 232 24 63.4615384615385 0 2200 0 -3.20013507019017e-11
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 140 24 111.057692307692 0 1226.92307692308 0 8.29627109200803e-10
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 24 18 24 111.057692307692 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 -4.85531626953056e-09
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+28 0 2 0 0 24 56 24 111.057692307692 7.105427357601e-15 338.461538461538 7.105427357601e-15 -2.99222594840391e-10
+28 0 2 0 0 24 58 24 111.057692307692 7.105427357601e-15 359.615384615385 7.105427357601e-15 2.25514760552699e-10
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+28 0 2 0 0 24 64 24 111.057692307692 7.105427357601e-15 423.076923076923 7.105427357601e-15 4.36661171776389e-10
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+28 0 2 0 0 24 68 24 111.057692307692 7.105427357601e-15 465.384615384615 7.105427357601e-15 -8.57922620144664e-10
+28 0 2 0 0 24 70 24 111.057692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 -8.38349136218465e-10
+28 0 2 0 0 24 72 24 111.057692307692 7.105427357601e-15 507.692307692308 7.105427357601e-15 -6.2815256305212e-10
+28 0 2 0 0 24 74 24 111.057692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 -5.50842395796383e-10
+28 0 2 0 0 24 76 24 111.057692307692 7.105427357601e-15 550 7.105427357601e-15 -3.96240371030789e-10
+28 0 2 0 0 24 78 24 111.057692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 2.31897443976933e-11
+28 0 2 0 0 24 80 24 111.057692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 4.51295885269541e-10
+28 0 2 0 0 24 82 24 111.057692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 7.3634540502156e-10
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 24 21 24 111.057692307692 7.105427357601e-15 -31.7307692307692 7.105427357601e-15 -4.49293407666893e-09
+28 0 3 0 0 24 22 24 111.057692307692 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 -5.60401022158664e-09
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+28 0 3 0 0 24 25 24 111.057692307692 7.105427357601e-15 10.5769230769231 7.105427357601e-15 -4.34084478687378e-09
+28 0 3 0 0 24 26 24 111.057692307692 7.105427357601e-15 21.1538461538462 7.105427357601e-15 -5.60401022158664e-09
+28 0 3 0 0 24 27 24 111.057692307692 7.105427357601e-15 31.7307692307692 7.105427357601e-15 -4.49293407666893e-09
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+28 0 3 0 0 24 30 24 111.057692307692 7.105427357601e-15 63.4615384615385 7.105427357601e-15 -4.85531626953056e-09
+28 0 3 0 0 24 31 24 111.057692307692 7.105427357601e-15 74.0384615384616 7.105427357601e-15 -5.15252296451438e-09
+28 0 3 0 0 24 32 24 111.057692307692 7.105427357601e-15 84.6153846153846 7.105427357601e-15 -3.38465675586271e-09
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+28 0 3 0 0 24 34 24 111.057692307692 7.105427357601e-15 105.769230769231 7.105427357601e-15 4.42127963318808e-11
+28 0 3 0 0 24 35 24 111.057692307692 7.105427357601e-15 116.346153846154 7.105427357601e-15 -2.14275112738474e-09
+28 0 3 0 0 24 36 24 111.057692307692 7.105427357601e-15 126.923076923077 7.105427357601e-15 -3.02291280366726e-09
+28 0 3 0 0 24 37 24 111.057692307692 7.105427357601e-15 137.5 7.105427357601e-15 -1.20543782456024e-09
+28 0 3 0 0 24 38 24 111.057692307692 7.105427357601e-15 148.076923076923 7.105427357601e-15 1.24336290827413e-09
+28 0 3 0 0 24 39 24 111.057692307692 7.105427357601e-15 158.653846153846 7.105427357601e-15 -1.25241332074267e-09
+28 0 3 0 0 24 40 24 111.057692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 -5.08711530785246e-09
+28 0 3 0 0 24 41 24 111.057692307692 7.105427357601e-15 179.807692307692 7.105427357601e-15 -3.10185820370137e-09
+28 0 3 0 0 24 42 24 111.057692307692 7.105427357601e-15 190.384615384615 7.105427357601e-15 2.4583919157842e-10
+28 0 3 0 0 24 43 24 111.057692307692 7.105427357601e-15 200.961538461539 7.105427357601e-15 -4.10733901844403e-10
+28 0 3 0 0 24 44 24 111.057692307692 7.105427357601e-15 211.538461538462 7.105427357601e-15 -1.57265726318853e-09
+28 0 3 0 0 24 45 24 111.057692307692 7.105427357601e-15 222.115384615385 7.105427357601e-15 -9.41330335642562e-10
+28 0 3 0 0 24 46 24 111.057692307692 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.40184905853375e-11
+28 0 3 0 0 24 47 24 111.057692307692 7.105427357601e-15 243.269230769231 7.105427357601e-15 6.07581219827579e-10
+28 0 3 0 0 24 48 24 111.057692307692 7.105427357601e-15 253.846153846154 7.105427357601e-15 7.89320362599991e-10
+28 0 3 0 0 24 49 24 111.057692307692 7.105427357601e-15 264.423076923077 7.105427357601e-15 1.09859996178048e-10
+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 -9.17840513408295e-10
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 -2.49462362143548e-09
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 -2.92938270078556e-09
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 9.5742840697417e-10
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kyy.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/kyy.z.asc
new file mode 100644
index 000000000..13512d7ac
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kyy.z.asc
@@ -0,0 +1,864 @@
+# ADMBASE::kyy z (kyy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 0
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 0
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 0 0 0 24 24 48 0 0 0 253.846153846154 0
+0 0 0 0 0 24 24 56 0 0 0 338.461538461539 0
+0 0 0 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 0 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 0 0 0 24 24 80 0 0 0 592.307692307692 0
+0 0 0 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 0 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 0 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 0 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 0 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 0 0 0 24 24 128 0 0 0 1100 0
+0 0 0 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 0
+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 0
+0 0 0 0 0 24 24 160 0 0 0 1438.46153846154 0
+0 0 0 0 0 24 24 168 0 0 0 1523.07692307692 0
+0 0 0 0 0 24 24 176 0 0 0 1607.69230769231 0
+0 0 0 0 0 24 24 184 0 0 0 1692.30769230769 0
+0 0 0 0 0 24 24 192 0 0 0 1776.92307692308 0
+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 0
+0 0 0 0 0 24 24 208 0 0 0 1946.15384615385 0
+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 0
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 0
+0 0 0 0 0 24 24 232 0 0 0 2200 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 0
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 24 24 28 0 0 0 42.3076923076923 0
+0 0 1 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 1 0 0 24 24 36 0 0 0 126.923076923077 0
+0 0 1 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 1 0 0 24 24 44 0 0 0 211.538461538462 0
+0 0 1 0 0 24 24 48 0 0 0 253.846153846154 0
+0 0 1 0 0 24 24 52 0 0 0 296.153846153846 0
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+0 0 1 0 0 24 24 60 0 0 0 380.769230769231 0
+0 0 1 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 1 0 0 24 24 68 0 0 0 465.384615384615 0
+0 0 1 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 1 0 0 24 24 76 0 0 0 550 0
+0 0 1 0 0 24 24 80 0 0 0 592.307692307692 0
+0 0 1 0 0 24 24 84 0 0 0 634.615384615385 0
+0 0 1 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 1 0 0 24 24 92 0 0 0 719.230769230769 0
+0 0 1 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 1 0 0 24 24 100 0 0 0 803.846153846154 0
+0 0 1 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 1 0 0 24 24 108 0 0 0 888.461538461538 0
+0 0 1 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 1 0 0 24 24 116 0 0 0 973.076923076923 0
+0 0 1 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 1 0 0 24 24 124 0 0 0 1057.69230769231 0
+0 0 1 0 0 24 24 128 0 0 0 1100 0
+0 0 1 0 0 24 24 132 0 0 0 1142.30769230769 0
+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
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+0 0 2 0 0 24 24 22 0 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
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+0 0 2 0 0 24 24 30 0 7.105427357601e-15 7.105427357601e-15 63.4615384615385 0
+0 0 2 0 0 24 24 32 0 7.105427357601e-15 7.105427357601e-15 84.6153846153846 0
+0 0 2 0 0 24 24 34 0 7.105427357601e-15 7.105427357601e-15 105.769230769231 0
+0 0 2 0 0 24 24 36 0 7.105427357601e-15 7.105427357601e-15 126.923076923077 0
+0 0 2 0 0 24 24 38 0 7.105427357601e-15 7.105427357601e-15 148.076923076923 0
+0 0 2 0 0 24 24 40 0 7.105427357601e-15 7.105427357601e-15 169.230769230769 0
+0 0 2 0 0 24 24 42 0 7.105427357601e-15 7.105427357601e-15 190.384615384615 0
+0 0 2 0 0 24 24 44 0 7.105427357601e-15 7.105427357601e-15 211.538461538462 0
+0 0 2 0 0 24 24 46 0 7.105427357601e-15 7.105427357601e-15 232.692307692308 0
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+0 0 2 0 0 24 24 50 0 7.105427357601e-15 7.105427357601e-15 275 0
+0 0 2 0 0 24 24 52 0 7.105427357601e-15 7.105427357601e-15 296.153846153846 0
+0 0 2 0 0 24 24 54 0 7.105427357601e-15 7.105427357601e-15 317.307692307692 0
+0 0 2 0 0 24 24 56 0 7.105427357601e-15 7.105427357601e-15 338.461538461538 0
+0 0 2 0 0 24 24 58 0 7.105427357601e-15 7.105427357601e-15 359.615384615385 0
+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 0
+0 0 2 0 0 24 24 62 0 7.105427357601e-15 7.105427357601e-15 401.923076923077 0
+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 0
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 0
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 0
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 0
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 0
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 0
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 -2.40282905405417e-09
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 1.12236046827145e-09
+4 0 1 0 0 24 24 20 15.8653846153846 0 0 -42.3076923076923 2.85181712111699e-09
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 2.02006738340166e-09
+4 0 1 0 0 24 24 28 15.8653846153846 0 0 42.3076923076923 2.85181712111699e-09
+4 0 1 0 0 24 24 32 15.8653846153846 0 0 84.6153846153846 1.12236046827145e-09
+4 0 1 0 0 24 24 36 15.8653846153846 0 0 126.923076923077 -2.40282905405417e-09
+4 0 1 0 0 24 24 40 15.8653846153846 0 0 169.230769230769 3.04024443877378e-09
+4 0 1 0 0 24 24 44 15.8653846153846 0 0 211.538461538462 -4.21035709469455e-09
+4 0 1 0 0 24 24 48 15.8653846153846 0 0 253.846153846154 -4.36462842193516e-09
+4 0 1 0 0 24 24 52 15.8653846153846 0 0 296.153846153846 -4.39383567190022e-09
+4 0 1 0 0 24 24 56 15.8653846153846 0 0 338.461538461538 -2.0839193391656e-09
+4 0 1 0 0 24 24 60 15.8653846153846 0 0 380.769230769231 2.60298436884741e-09
+4 0 1 0 0 24 24 64 15.8653846153846 0 0 423.076923076923 -1.68107740237535e-09
+4 0 1 0 0 24 24 68 15.8653846153846 0 0 465.384615384615 1.87918859829241e-10
+4 0 1 0 0 24 24 72 15.8653846153846 0 0 507.692307692308 3.55712362422636e-10
+4 0 1 0 0 24 24 76 15.8653846153846 0 0 550 3.13732351974878e-10
+4 0 1 0 0 24 24 80 15.8653846153846 0 0 592.307692307692 1.5433133883579e-10
+4 0 1 0 0 24 24 84 15.8653846153846 0 0 634.615384615385 -3.15466158433294e-10
+4 0 1 0 0 24 24 88 15.8653846153846 0 0 676.923076923077 1.91892594054339e-10
+4 0 1 0 0 24 24 92 15.8653846153846 0 0 719.230769230769 8.03855029840256e-12
+4 0 1 0 0 24 24 96 15.8653846153846 0 0 761.538461538462 2.25713467558408e-10
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+4 0 1 0 0 24 24 104 15.8653846153846 0 0 846.153846153846 3.26248585096952e-11
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+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 1.17016279713389e-10
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 2 0 0 24 24 74 15.8653846153846 7.105427357601e-15 7.105427357601e-15 528.846153846154 3.55166060880082e-10
+4 0 2 0 0 24 24 76 15.8653846153846 7.105427357601e-15 7.105427357601e-15 550 3.13732351974878e-10
+4 0 2 0 0 24 24 78 15.8653846153846 7.105427357601e-15 7.105427357601e-15 571.153846153846 2.60780767487622e-10
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 3.44453850442558e-12
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 24 24 140 31.7307692307692 0 0 1226.92307692308 2.33969691710092e-10
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 24 70 31.7307692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.22618363885613e-09
+8 0 2 0 0 24 24 72 31.7307692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 7.73527813529397e-10
+8 0 2 0 0 24 24 74 31.7307692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 6.63880063407649e-10
+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 6.38057324045318e-10
+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 7.85092288608726e-10
+8 0 2 0 0 24 24 80 31.7307692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 8.2186294796769e-10
+8 0 2 0 0 24 24 82 31.7307692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 3.16484853086145e-10
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 24 136 47.5961538461538 0 0 1184.61538461538 3.67065872418275e-10
+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 3.39861907302666e-10
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 24 68 47.5961538461538 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.18571846079601e-09
+12 0 2 0 0 24 24 70 47.5961538461538 7.105427357601e-15 7.105427357601e-15 486.538461538462 9.06057768209389e-10
+12 0 2 0 0 24 24 72 47.5961538461538 7.105427357601e-15 7.105427357601e-15 507.692307692308 5.80303479111076e-10
+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 4.39963268088056e-10
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 4.25547112848065e-10
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 6.41119065936209e-10
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 8.27444318567266e-10
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 7.01234308266143e-10
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 24 192 63.4615384615385 0 0 1776.92307692308 1.23828251569428e-10
+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 1.01012443999189e-10
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+16 0 0 0 0 24 24 216 63.4615384615385 0 0 2030.76923076923 6.92085853420467e-11
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+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 -4.625642913551e-11
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 1.65091244000679e-09
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+16 0 1 0 0 24 24 116 63.4615384615385 0 0 973.076923076923 8.57806121082356e-10
+16 0 1 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 7.33226162632299e-10
+16 0 1 0 0 24 24 124 63.4615384615385 0 0 1057.69230769231 6.65883661823939e-10
+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 6.00886340297217e-10
+16 0 1 0 0 24 24 132 63.4615384615385 0 0 1142.30769230769 5.32765888034162e-10
+16 0 1 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 4.73560236534734e-10
+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 4.38359034863422e-10
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 24 18 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.9653894139594e-09
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+16 0 2 0 0 24 24 66 63.4615384615385 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.46231911595325e-09
+16 0 2 0 0 24 24 68 63.4615384615385 7.105427357601e-15 7.105427357601e-15 465.384615384615 4.32228526988646e-10
+16 0 2 0 0 24 24 70 63.4615384615385 7.105427357601e-15 7.105427357601e-15 486.538461538462 2.20917247439265e-10
+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.91998537411339e-10
+16 0 2 0 0 24 24 74 63.4615384615385 7.105427357601e-15 7.105427357601e-15 528.846153846154 3.64522587182659e-11
+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 -7.35004473262954e-11
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 -6.01983331789692e-11
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 5.06292272551975e-11
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 3.43624042000591e-10
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 5.39807259563004e-10
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 0 0 0 24 24 232 95.1923076923077 0 0 2200 -1.37374995070752e-10
+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 1 0 0 24 24 128 95.1923076923077 0 0 1100 8.34191627267701e-10
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+24 0 1 0 0 24 24 140 95.1923076923077 0 0 1226.92307692308 6.40757851757195e-10
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 24 51 111.057692307692 7.105427357601e-15 7.105427357601e-15 285.576923076923 9.15521682068084e-10
+28 0 3 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.20064114583463e-09
+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 -4.84483055943575e-10
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kyy_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kyy_maximum.xg
new file mode 100644
index 000000000..3e30c3be4
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kyy_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kyy
+"kyy v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 4.3503440299294e-09
+1.5865384615385e+01 6.2847950739408e-09
+2.3798076923077e+01 8.3667238932399e-09
+3.1730769230769e+01 5.7658485286073e-09
+3.9663461538462e+01 1.0864157256161e-08
+4.7596153846154e+01 6.1099507087053e-09
+5.5528846153846e+01 7.7777182110666e-09
+6.3461538461538e+01 6.8757157954977e-09
+7.1394230769231e+01 7.3572637428651e-09
+7.5360576923077e+01 6.8182008700862e-09
+7.9326923076923e+01 5.6588909885406e-09
+8.3293269230769e+01 7.8483147021483e-09
+8.7259615384615e+01 5.6745548350241e-09
+9.1225961538462e+01 5.8549792554686e-09
+9.5192307692308e+01 3.4858824045640e-09
+9.9158653846154e+01 6.0456657733812e-09
+1.0312500000000e+02 5.3114603389554e-09
+1.0709134615385e+02 5.3888019089985e-09
+1.1105769230769e+02 3.4064616403975e-09
+1.1502403846154e+02 3.9291936087307e-09
+1.1899038461538e+02 3.7076961176748e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kyy_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kyy_minimum.xg
new file mode 100644
index 000000000..9d6a0f78f
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kyy_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kyy
+"kyy v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 -4.4232478682691e-09
+1.5865384615385e+01 -5.2501720338232e-09
+2.3798076923077e+01 -8.5505171522275e-09
+3.1730769230769e+01 -2.6429051668580e-09
+3.9663461538462e+01 -1.0288098806916e-08
+4.7596153846154e+01 -9.2103032701800e-09
+5.5528846153846e+01 -7.6636990650330e-09
+6.3461538461538e+01 -5.7721019767330e-09
+7.1394230769231e+01 -7.3963532804087e-09
+7.5360576923077e+01 -8.7727055211591e-09
+7.9326923076923e+01 -5.3966568104068e-09
+8.3293269230769e+01 -8.6252503925614e-09
+8.7259615384615e+01 -7.5683482042476e-09
+9.1225961538462e+01 -5.7705730064171e-09
+9.5192307692308e+01 -4.7379335652128e-09
+9.9158653846154e+01 -6.9885804266982e-09
+1.0312500000000e+02 -8.3262050642235e-09
+1.0709134615385e+02 -8.2807683220476e-09
+1.1105769230769e+02 -5.0871153078525e-09
+1.1502403846154e+02 -6.1549455593860e-09
+1.1899038461538e+02 -5.7345157229607e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kyy_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kyy_norm1.xg
new file mode 100644
index 000000000..0a2b36b01
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kyy_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kyy
+"kyy v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 4.5317582399338e-10
+1.5865384615385e+01 2.0952195387449e-10
+2.3798076923077e+01 7.0438151427206e-10
+3.1730769230769e+01 6.3393390613121e-11
+3.9663461538462e+01 7.2235720856859e-10
+4.7596153846154e+01 2.8349821366543e-10
+5.5528846153846e+01 6.9923718858381e-10
+6.3461538461538e+01 8.8866510699565e-11
+7.1394230769231e+01 6.5212131276327e-10
+7.5360576923077e+01 9.8607056914216e-10
+7.9326923076923e+01 3.3593498378804e-10
+8.3293269230769e+01 1.0918627192954e-09
+8.7259615384615e+01 6.8726149904441e-10
+9.1225961538462e+01 9.5644345067392e-10
+9.5192307692308e+01 1.1082851886968e-10
+9.9158653846154e+01 1.0357408565485e-09
+1.0312500000000e+02 6.8238523016669e-10
+1.0709134615385e+02 1.1130977706521e-09
+1.1105769230769e+02 3.6980950338423e-10
+1.1502403846154e+02 1.1538324646536e-09
+1.1899038461538e+02 6.9319118247216e-10
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kyy_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kyy_norm2.xg
new file mode 100644
index 000000000..db2d2cdb0
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kyy_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kyy
+"kyy v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 7.6959414693766e-10
+1.5865384615385e+01 5.8621324654124e-10
+2.3798076923077e+01 1.1691182800630e-09
+3.1730769230769e+01 2.1611737783361e-10
+3.9663461538462e+01 1.1307299551414e-09
+4.7596153846154e+01 5.8559932411227e-10
+5.5528846153846e+01 1.0987307194414e-09
+6.3461538461538e+01 2.4466453936277e-10
+7.1394230769231e+01 9.5478570081185e-10
+7.5360576923077e+01 1.3659652513304e-09
+7.9326923076923e+01 5.6792931295149e-10
+8.3293269230769e+01 1.4860498122084e-09
+8.7259615384615e+01 9.8399093948313e-10
+9.1225961538462e+01 1.2268945462884e-09
+9.5192307692308e+01 2.5173483822979e-10
+9.9158653846154e+01 1.3791236108603e-09
+1.0312500000000e+02 9.7685301542192e-10
+1.0709134615385e+02 1.4830442977222e-09
+1.1105769230769e+02 5.2682538573057e-10
+1.1502403846154e+02 1.4847383863021e-09
+1.1899038461538e+02 9.3749169159849e-10
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kyz.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/kyz.x.asc
new file mode 100644
index 000000000..29116b5ce
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kyz.x.asc
@@ -0,0 +1,864 @@
+# ADMBASE::kyz x (kyz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 0
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 0
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 0
+0 0 0 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 0 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 0 0 0 96 24 24 0 761.538461538462 0 0 0
+0 0 0 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 0 0 0 128 24 24 0 1100 0 0 0
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 0
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 0
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 0
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 0
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 0
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 0
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 0
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 0
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 0
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 0
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 0
+0 0 0 0 0 232 24 24 0 2200 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 0
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 0
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 0
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 0
+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 1 0 0 52 24 24 0 296.153846153846 0 0 0
+0 0 1 0 0 56 24 24 0 338.461538461538 0 0 0
+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 0
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 0
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 1 0 0 76 24 24 0 550 0 0 0
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 1 0 0 84 24 24 0 634.615384615385 0 0 0
+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 1 0 0 92 24 24 0 719.230769230769 0 0 0
+0 0 1 0 0 96 24 24 0 761.538461538462 0 0 0
+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 0
+0 0 1 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 0
+0 0 1 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 0
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 0
+0 0 1 0 0 128 24 24 0 1100 0 0 0
+0 0 1 0 0 132 24 24 0 1142.30769230769 0 0 0
+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 20 24 24 0 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 22 24 24 0 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 26 24 24 0 21.1538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 28 24 24 0 42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 30 24 24 0 63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 32 24 24 0 84.6153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 34 24 24 0 105.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 36 24 24 0 126.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 38 24 24 0 148.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 40 24 24 0 169.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 42 24 24 0 190.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 44 24 24 0 211.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 46 24 24 0 232.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 48 24 24 0 253.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 50 24 24 0 275 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 52 24 24 0 296.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 54 24 24 0 317.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 56 24 24 0 338.461538461538 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 58 24 24 0 359.615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 60 24 24 0 380.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 62 24 24 0 401.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 64 24 24 0 423.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 66 24 24 0 444.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 68 24 24 0 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 70 24 24 0 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 72 24 24 0 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 74 24 24 0 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 76 24 24 0 550 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 78 24 24 0 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 80 24 24 0 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 12 24 24 15.8653846153846 -126.923076923077 0 0 2.91640172361374e-21
+4 0 1 0 0 16 24 24 15.8653846153846 -84.6153846153846 0 0 -6.9395872762948e-22
+4 0 1 0 0 20 24 24 15.8653846153846 -42.3076923076923 0 0 3.40900970520302e-20
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 -3.79283853580262e-21
+4 0 1 0 0 28 24 24 15.8653846153846 42.3076923076923 0 0 3.40900970520302e-20
+4 0 1 0 0 32 24 24 15.8653846153846 84.6153846153846 0 0 -6.9395872762948e-22
+4 0 1 0 0 36 24 24 15.8653846153846 126.923076923077 0 0 2.91640172361374e-21
+4 0 1 0 0 40 24 24 15.8653846153846 169.230769230769 0 0 8.9618634549896e-22
+4 0 1 0 0 44 24 24 15.8653846153846 211.538461538462 0 0 5.60082283855978e-20
+4 0 1 0 0 48 24 24 15.8653846153846 253.846153846154 0 0 -5.20758227689675e-20
+4 0 1 0 0 52 24 24 15.8653846153846 296.153846153846 0 0 1.06794995638004e-21
+4 0 1 0 0 56 24 24 15.8653846153846 338.461538461538 0 0 2.5197661476065e-43
+4 0 1 0 0 60 24 24 15.8653846153846 380.769230769231 0 0 -6.07509870807262e-39
+4 0 1 0 0 64 24 24 15.8653846153846 423.076923076923 0 0 5.66242255665398e-22
+4 0 1 0 0 68 24 24 15.8653846153846 465.384615384615 0 0 1.06539303130637e-20
+4 0 1 0 0 72 24 24 15.8653846153846 507.692307692308 0 0 0
+4 0 1 0 0 76 24 24 15.8653846153846 550 0 0 0
+4 0 1 0 0 80 24 24 15.8653846153846 592.307692307692 0 0 0
+4 0 1 0 0 84 24 24 15.8653846153846 634.615384615385 0 0 0
+4 0 1 0 0 88 24 24 15.8653846153846 676.923076923077 0 0 0
+4 0 1 0 0 92 24 24 15.8653846153846 719.230769230769 0 0 0
+4 0 1 0 0 96 24 24 15.8653846153846 761.538461538462 0 0 0
+4 0 1 0 0 100 24 24 15.8653846153846 803.846153846154 0 0 0
+4 0 1 0 0 104 24 24 15.8653846153846 846.153846153846 0 0 4.23992421860438e-20
+4 0 1 0 0 108 24 24 15.8653846153846 888.461538461538 0 0 2.62971250928045e-20
+4 0 1 0 0 112 24 24 15.8653846153846 930.769230769231 0 0 4.56487687087899e-67
+4 0 1 0 0 116 24 24 15.8653846153846 973.076923076923 0 0 -2.91961403675848e-21
+4 0 1 0 0 120 24 24 15.8653846153846 1015.38461538462 0 0 0
+4 0 1 0 0 124 24 24 15.8653846153846 1057.69230769231 0 0 -2.85009141994719e-68
+4 0 1 0 0 128 24 24 15.8653846153846 1100 0 0 0
+4 0 1 0 0 132 24 24 15.8653846153846 1142.30769230769 0 0 0
+4 0 1 0 0 136 24 24 15.8653846153846 1184.61538461538 0 0 0
+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 18 24 24 15.8653846153846 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -2.37766843448136e-21
+4 0 2 0 0 20 24 24 15.8653846153846 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 3.40900970520302e-20
+4 0 2 0 0 22 24 24 15.8653846153846 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.93741891990732e-20
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 -3.79283853580262e-21
+4 0 2 0 0 26 24 24 15.8653846153846 21.1538461538462 7.105427357601e-15 7.105427357601e-15 1.93741891990732e-20
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 9.22724041601455e-83
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 2.46059741268104e-82
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 70 24 24 63.4615384615385 486.538461538462 7.105427357601e-15 7.105427357601e-15 -3.84457230544446e-21
+16 0 2 0 0 72 24 24 63.4615384615385 507.692307692308 7.105427357601e-15 7.105427357601e-15 4.86173135770933e-22
+16 0 2 0 0 74 24 24 63.4615384615385 528.846153846154 7.105427357601e-15 7.105427357601e-15 8.99596755382457e-22
+16 0 2 0 0 76 24 24 63.4615384615385 550 7.105427357601e-15 7.105427357601e-15 3.07074747174737e-22
+16 0 2 0 0 78 24 24 63.4615384615385 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.53945934542687e-22
+16 0 2 0 0 80 24 24 63.4615384615385 592.307692307692 7.105427357601e-15 7.105427357601e-15 2.07028810655661e-23
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 -3.51371247433826e-25
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 47 24 24 95.1923076923077 243.269230769231 7.105427357601e-15 7.105427357601e-15 1.4539871524635e-20
+24 0 3 0 0 48 24 24 95.1923076923077 253.846153846154 7.105427357601e-15 7.105427357601e-15 3.17402846840083e-20
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+24 0 3 0 0 50 24 24 95.1923076923077 275 7.105427357601e-15 7.105427357601e-15 -4.55072657681487e-21
+24 0 3 0 0 51 24 24 95.1923076923077 285.576923076923 7.105427357601e-15 7.105427357601e-15 -1.26309214605972e-20
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+24 0 3 0 0 53 24 24 95.1923076923077 306.730769230769 7.105427357601e-15 7.105427357601e-15 -8.8490231643892e-21
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 16 24 24 111.057692307692 -84.6153846153846 0 0 -2.6362730965638e-19
+28 0 1 0 0 20 24 24 111.057692307692 -42.3076923076923 0 0 9.64568290162327e-20
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+28 0 1 0 0 120 24 24 111.057692307692 1015.38461538462 0 0 4.5723907593163e-22
+28 0 1 0 0 124 24 24 111.057692307692 1057.69230769231 0 0 4.1921132039106e-22
+28 0 1 0 0 128 24 24 111.057692307692 1100 0 0 4.1907336637357e-23
+28 0 1 0 0 132 24 24 111.057692307692 1142.30769230769 0 0 -4.41065613965455e-24
+28 0 1 0 0 136 24 24 111.057692307692 1184.61538461538 0 0 1.0217562560352e-24
+28 0 1 0 0 140 24 24 111.057692307692 1226.92307692308 0 0 -2.03975987159164e-24
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 18 24 24 111.057692307692 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -1.47464898065012e-20
+28 0 2 0 0 20 24 24 111.057692307692 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 9.64568290162327e-20
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+28 0 2 0 0 66 24 24 111.057692307692 444.230769230769 7.105427357601e-15 7.105427357601e-15 6.33555222010803e-20
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 21 24 24 111.057692307692 -31.7307692307692 7.105427357601e-15 7.105427357601e-15 1.85547124112218e-19
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+28 0 3 0 0 40 24 24 111.057692307692 169.230769230769 7.105427357601e-15 7.105427357601e-15 -4.23262354999577e-19
+28 0 3 0 0 41 24 24 111.057692307692 179.807692307692 7.105427357601e-15 7.105427357601e-15 4.71366019400431e-20
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+28 0 3 0 0 49 24 24 111.057692307692 264.423076923077 7.105427357601e-15 7.105427357601e-15 2.31938400831353e-20
+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 2.92318945026667e-20
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 1.81246515154364e-20
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 4.14391781251578e-21
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 -2.56258128822662e-21
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kyz.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/kyz.y.asc
new file mode 100644
index 000000000..b0f798aba
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kyz.y.asc
@@ -0,0 +1,864 @@
+# ADMBASE::kyz y (kyz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 0
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 0
+0 0 0 0 0 24 16 24 0 0 -84.6153846153846 0 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
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+0 0 0 0 0 24 40 24 0 0 169.230769230769 0 0
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+0 0 0 0 0 24 88 24 0 0 676.923076923077 0 0
+0 0 0 0 0 24 96 24 0 0 761.538461538462 0 0
+0 0 0 0 0 24 104 24 0 0 846.153846153846 0 0
+0 0 0 0 0 24 112 24 0 0 930.769230769231 0 0
+0 0 0 0 0 24 120 24 0 0 1015.38461538462 0 0
+0 0 0 0 0 24 128 24 0 0 1100 0 0
+0 0 0 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 0 0 0 24 144 24 0 0 1269.23076923077 0 0
+0 0 0 0 0 24 152 24 0 0 1353.84615384615 0 0
+0 0 0 0 0 24 160 24 0 0 1438.46153846154 0 0
+0 0 0 0 0 24 168 24 0 0 1523.07692307692 0 0
+0 0 0 0 0 24 176 24 0 0 1607.69230769231 0 0
+0 0 0 0 0 24 184 24 0 0 1692.30769230769 0 0
+0 0 0 0 0 24 192 24 0 0 1776.92307692308 0 0
+0 0 0 0 0 24 200 24 0 0 1861.53846153846 0 0
+0 0 0 0 0 24 208 24 0 0 1946.15384615385 0 0
+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 0
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 0
+0 0 0 0 0 24 232 24 0 0 2200 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 0
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 0
+0 0 1 0 0 24 20 24 0 0 -42.3076923076923 0 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 24 28 24 0 0 42.3076923076923 0 0
+0 0 1 0 0 24 32 24 0 0 84.6153846153846 0 0
+0 0 1 0 0 24 36 24 0 0 126.923076923077 0 0
+0 0 1 0 0 24 40 24 0 0 169.230769230769 0 0
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+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 18 24 31.7307692307692 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 -1.38320328926289e-20
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 2.24790700840562e-24
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 74 24 47.5961538461538 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.22128598442662e-16
+12 0 2 0 0 24 76 24 47.5961538461538 7.105427357601e-15 550 7.105427357601e-15 1.16162878054718e-17
+12 0 2 0 0 24 78 24 47.5961538461538 7.105427357601e-15 571.153846153846 7.105427357601e-15 -2.57668856588154e-17
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 232 24 63.4615384615385 0 2200 0 -1.69848848159433e-37
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 12 24 63.4615384615385 0 -126.923076923077 0 -3.77788395592456e-19
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+16 0 1 0 0 24 124 24 63.4615384615385 0 1057.69230769231 0 2.89701242426868e-17
+16 0 1 0 0 24 128 24 63.4615384615385 0 1100 0 -9.59876655121105e-23
+16 0 1 0 0 24 132 24 63.4615384615385 0 1142.30769230769 0 5.30870469252944e-19
+16 0 1 0 0 24 136 24 63.4615384615385 0 1184.61538461538 0 -1.5344125367688e-32
+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 5.99441859175224e-24
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 18 24 63.4615384615385 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.06271387912181e-19
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 56 24 111.057692307692 7.105427357601e-15 338.461538461538 7.105427357601e-15 -1.2839424034247e-15
+28 0 2 0 0 24 58 24 111.057692307692 7.105427357601e-15 359.615384615385 7.105427357601e-15 1.69279011932452e-16
+28 0 2 0 0 24 60 24 111.057692307692 7.105427357601e-15 380.769230769231 7.105427357601e-15 7.89762366815295e-15
+28 0 2 0 0 24 62 24 111.057692307692 7.105427357601e-15 401.923076923077 7.105427357601e-15 7.08319589430459e-15
+28 0 2 0 0 24 64 24 111.057692307692 7.105427357601e-15 423.076923076923 7.105427357601e-15 -2.92074185484162e-15
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+28 0 2 0 0 24 68 24 111.057692307692 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.72079868692509e-17
+28 0 2 0 0 24 70 24 111.057692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 -6.8335883632121e-16
+28 0 2 0 0 24 72 24 111.057692307692 7.105427357601e-15 507.692307692308 7.105427357601e-15 -1.54753951263415e-15
+28 0 2 0 0 24 74 24 111.057692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 -8.34983417661817e-16
+28 0 2 0 0 24 76 24 111.057692307692 7.105427357601e-15 550 7.105427357601e-15 7.39571183962823e-17
+28 0 2 0 0 24 78 24 111.057692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.85381581828916e-16
+28 0 2 0 0 24 80 24 111.057692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 8.48957805335798e-17
+28 0 2 0 0 24 82 24 111.057692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 4.95876771795445e-17
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 24 21 24 111.057692307692 7.105427357601e-15 -31.7307692307692 7.105427357601e-15 4.93215405064227e-19
+28 0 3 0 0 24 22 24 111.057692307692 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 -1.98592377628781e-19
+28 0 3 0 0 24 23 24 111.057692307692 7.105427357601e-15 -10.5769230769231 7.105427357601e-15 2.47137300971768e-19
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+28 0 3 0 0 24 25 24 111.057692307692 7.105427357601e-15 10.5769230769231 7.105427357601e-15 -2.47137300971768e-19
+28 0 3 0 0 24 26 24 111.057692307692 7.105427357601e-15 21.1538461538462 7.105427357601e-15 1.98592377628781e-19
+28 0 3 0 0 24 27 24 111.057692307692 7.105427357601e-15 31.7307692307692 7.105427357601e-15 -4.93215405064227e-19
+28 0 3 0 0 24 28 24 111.057692307692 7.105427357601e-15 42.3076923076923 7.105427357601e-15 -5.88963269670082e-19
+28 0 3 0 0 24 29 24 111.057692307692 7.105427357601e-15 52.8846153846154 7.105427357601e-15 3.77262807122434e-19
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+28 0 3 0 0 24 31 24 111.057692307692 7.105427357601e-15 74.0384615384616 7.105427357601e-15 -8.46497285731639e-19
+28 0 3 0 0 24 32 24 111.057692307692 7.105427357601e-15 84.6153846153846 7.105427357601e-15 4.41047792624126e-20
+28 0 3 0 0 24 33 24 111.057692307692 7.105427357601e-15 95.1923076923077 7.105427357601e-15 8.59251215113457e-19
+28 0 3 0 0 24 34 24 111.057692307692 7.105427357601e-15 105.769230769231 7.105427357601e-15 3.46887919993273e-19
+28 0 3 0 0 24 35 24 111.057692307692 7.105427357601e-15 116.346153846154 7.105427357601e-15 -3.59875411471366e-19
+28 0 3 0 0 24 36 24 111.057692307692 7.105427357601e-15 126.923076923077 7.105427357601e-15 -1.72771894758315e-19
+28 0 3 0 0 24 37 24 111.057692307692 7.105427357601e-15 137.5 7.105427357601e-15 1.20201671683113e-19
+28 0 3 0 0 24 38 24 111.057692307692 7.105427357601e-15 148.076923076923 7.105427357601e-15 1.13667361247315e-19
+28 0 3 0 0 24 39 24 111.057692307692 7.105427357601e-15 158.653846153846 7.105427357601e-15 6.49686104663713e-20
+28 0 3 0 0 24 40 24 111.057692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 -5.41365616373707e-20
+28 0 3 0 0 24 41 24 111.057692307692 7.105427357601e-15 179.807692307692 7.105427357601e-15 1.7482191318923e-19
+28 0 3 0 0 24 42 24 111.057692307692 7.105427357601e-15 190.384615384615 7.105427357601e-15 3.39875521643041e-19
+28 0 3 0 0 24 43 24 111.057692307692 7.105427357601e-15 200.961538461539 7.105427357601e-15 -1.39468625546923e-19
+28 0 3 0 0 24 44 24 111.057692307692 7.105427357601e-15 211.538461538462 7.105427357601e-15 1.31454379167198e-20
+28 0 3 0 0 24 45 24 111.057692307692 7.105427357601e-15 222.115384615385 7.105427357601e-15 -1.35455218317822e-19
+28 0 3 0 0 24 46 24 111.057692307692 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.99956141382426e-19
+28 0 3 0 0 24 47 24 111.057692307692 7.105427357601e-15 243.269230769231 7.105427357601e-15 1.20018110351827e-18
+28 0 3 0 0 24 48 24 111.057692307692 7.105427357601e-15 253.846153846154 7.105427357601e-15 3.74413068465595e-18
+28 0 3 0 0 24 49 24 111.057692307692 7.105427357601e-15 264.423076923077 7.105427357601e-15 1.11869019787756e-17
+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 1.62781886413105e-17
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 3.09250382957542e-17
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.02689212671352e-18
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 -1.12930315591817e-16
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kyz.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/kyz.z.asc
new file mode 100644
index 000000000..4329e3f08
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kyz.z.asc
@@ -0,0 +1,864 @@
+# ADMBASE::kyz z (kyz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 0
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 0
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 0 0 0 24 24 48 0 0 0 253.846153846154 0
+0 0 0 0 0 24 24 56 0 0 0 338.461538461539 0
+0 0 0 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 0 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 0 0 0 24 24 80 0 0 0 592.307692307692 0
+0 0 0 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 0 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 0 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 0 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 0 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 0 0 0 24 24 128 0 0 0 1100 0
+0 0 0 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 0
+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 0
+0 0 0 0 0 24 24 160 0 0 0 1438.46153846154 0
+0 0 0 0 0 24 24 168 0 0 0 1523.07692307692 0
+0 0 0 0 0 24 24 176 0 0 0 1607.69230769231 0
+0 0 0 0 0 24 24 184 0 0 0 1692.30769230769 0
+0 0 0 0 0 24 24 192 0 0 0 1776.92307692308 0
+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 0
+0 0 0 0 0 24 24 208 0 0 0 1946.15384615385 0
+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 0
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 0
+0 0 0 0 0 24 24 232 0 0 0 2200 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 0
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 24 24 28 0 0 0 42.3076923076923 0
+0 0 1 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 1 0 0 24 24 36 0 0 0 126.923076923077 0
+0 0 1 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 1 0 0 24 24 44 0 0 0 211.538461538462 0
+0 0 1 0 0 24 24 48 0 0 0 253.846153846154 0
+0 0 1 0 0 24 24 52 0 0 0 296.153846153846 0
+0 0 1 0 0 24 24 56 0 0 0 338.461538461538 0
+0 0 1 0 0 24 24 60 0 0 0 380.769230769231 0
+0 0 1 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 1 0 0 24 24 68 0 0 0 465.384615384615 0
+0 0 1 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 1 0 0 24 24 76 0 0 0 550 0
+0 0 1 0 0 24 24 80 0 0 0 592.307692307692 0
+0 0 1 0 0 24 24 84 0 0 0 634.615384615385 0
+0 0 1 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 1 0 0 24 24 92 0 0 0 719.230769230769 0
+0 0 1 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 1 0 0 24 24 100 0 0 0 803.846153846154 0
+0 0 1 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 1 0 0 24 24 108 0 0 0 888.461538461538 0
+0 0 1 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 1 0 0 24 24 116 0 0 0 973.076923076923 0
+0 0 1 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 1 0 0 24 24 124 0 0 0 1057.69230769231 0
+0 0 1 0 0 24 24 128 0 0 0 1100 0
+0 0 1 0 0 24 24 132 0 0 0 1142.30769230769 0
+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
+0 0 2 0 0 24 24 20 0 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 0
+0 0 2 0 0 24 24 22 0 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 24 24 26 0 7.105427357601e-15 7.105427357601e-15 21.1538461538462 0
+0 0 2 0 0 24 24 28 0 7.105427357601e-15 7.105427357601e-15 42.3076923076923 0
+0 0 2 0 0 24 24 30 0 7.105427357601e-15 7.105427357601e-15 63.4615384615385 0
+0 0 2 0 0 24 24 32 0 7.105427357601e-15 7.105427357601e-15 84.6153846153846 0
+0 0 2 0 0 24 24 34 0 7.105427357601e-15 7.105427357601e-15 105.769230769231 0
+0 0 2 0 0 24 24 36 0 7.105427357601e-15 7.105427357601e-15 126.923076923077 0
+0 0 2 0 0 24 24 38 0 7.105427357601e-15 7.105427357601e-15 148.076923076923 0
+0 0 2 0 0 24 24 40 0 7.105427357601e-15 7.105427357601e-15 169.230769230769 0
+0 0 2 0 0 24 24 42 0 7.105427357601e-15 7.105427357601e-15 190.384615384615 0
+0 0 2 0 0 24 24 44 0 7.105427357601e-15 7.105427357601e-15 211.538461538462 0
+0 0 2 0 0 24 24 46 0 7.105427357601e-15 7.105427357601e-15 232.692307692308 0
+0 0 2 0 0 24 24 48 0 7.105427357601e-15 7.105427357601e-15 253.846153846154 0
+0 0 2 0 0 24 24 50 0 7.105427357601e-15 7.105427357601e-15 275 0
+0 0 2 0 0 24 24 52 0 7.105427357601e-15 7.105427357601e-15 296.153846153846 0
+0 0 2 0 0 24 24 54 0 7.105427357601e-15 7.105427357601e-15 317.307692307692 0
+0 0 2 0 0 24 24 56 0 7.105427357601e-15 7.105427357601e-15 338.461538461538 0
+0 0 2 0 0 24 24 58 0 7.105427357601e-15 7.105427357601e-15 359.615384615385 0
+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 0
+0 0 2 0 0 24 24 62 0 7.105427357601e-15 7.105427357601e-15 401.923076923077 0
+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 0
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 0
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 0
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 0
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 0
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 0
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 1.07446821743775e-19
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 8.94559375101631e-19
+4 0 1 0 0 24 24 20 15.8653846153846 0 0 -42.3076923076923 -1.24906580043102e-18
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 -3.79283853580262e-21
+4 0 1 0 0 24 24 28 15.8653846153846 0 0 42.3076923076923 1.24906580043102e-18
+4 0 1 0 0 24 24 32 15.8653846153846 0 0 84.6153846153846 -8.94559375101631e-19
+4 0 1 0 0 24 24 36 15.8653846153846 0 0 126.923076923077 -1.07446821743775e-19
+4 0 1 0 0 24 24 40 15.8653846153846 0 0 169.230769230769 7.57658186448457e-19
+4 0 1 0 0 24 24 44 15.8653846153846 0 0 211.538461538462 -5.67611642016063e-19
+4 0 1 0 0 24 24 48 15.8653846153846 0 0 253.846153846154 3.54892141682197e-19
+4 0 1 0 0 24 24 52 15.8653846153846 0 0 296.153846153846 -4.57959277852005e-19
+4 0 1 0 0 24 24 56 15.8653846153846 0 0 338.461538461538 1.0120750093337e-19
+4 0 1 0 0 24 24 60 15.8653846153846 0 0 380.769230769231 -1.22324642439989e-19
+4 0 1 0 0 24 24 64 15.8653846153846 0 0 423.076923076923 3.34732067564921e-14
+4 0 1 0 0 24 24 68 15.8653846153846 0 0 465.384615384615 -1.89919983740178e-20
+4 0 1 0 0 24 24 72 15.8653846153846 0 0 507.692307692308 0
+4 0 1 0 0 24 24 76 15.8653846153846 0 0 550 -5.90344077044647e-34
+4 0 1 0 0 24 24 80 15.8653846153846 0 0 592.307692307692 0
+4 0 1 0 0 24 24 84 15.8653846153846 0 0 634.615384615385 0
+4 0 1 0 0 24 24 88 15.8653846153846 0 0 676.923076923077 0
+4 0 1 0 0 24 24 92 15.8653846153846 0 0 719.230769230769 0
+4 0 1 0 0 24 24 96 15.8653846153846 0 0 761.538461538462 0
+4 0 1 0 0 24 24 100 15.8653846153846 0 0 803.846153846154 8.40313339954398e-21
+4 0 1 0 0 24 24 104 15.8653846153846 0 0 846.153846153846 -9.76532819855837e-20
+4 0 1 0 0 24 24 108 15.8653846153846 0 0 888.461538461538 -1.2959069924559e-15
+4 0 1 0 0 24 24 112 15.8653846153846 0 0 930.769230769231 5.52178385851782e-22
+4 0 1 0 0 24 24 116 15.8653846153846 0 0 973.076923076923 1.44180892788669e-16
+4 0 1 0 0 24 24 120 15.8653846153846 0 0 1015.38461538462 -1.73394841015278e-22
+4 0 1 0 0 24 24 124 15.8653846153846 0 0 1057.69230769231 -1.32005872089522e-22
+4 0 1 0 0 24 24 128 15.8653846153846 0 0 1100 -7.63171681611654e-26
+4 0 1 0 0 24 24 132 15.8653846153846 0 0 1142.30769230769 -3.86391206663978e-25
+4 0 1 0 0 24 24 136 15.8653846153846 0 0 1184.61538461538 -2.47845740198395e-25
+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 9.90842083324262e-23
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 24 18 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 -5.45275194960084e-19
+4 0 2 0 0 24 24 20 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 -1.24906580043102e-18
+4 0 2 0 0 24 24 22 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.30018902686034e-19
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 -3.79283853580262e-21
+4 0 2 0 0 24 24 26 15.8653846153846 7.105427357601e-15 7.105427357601e-15 21.1538461538462 -1.30018902686034e-19
+4 0 2 0 0 24 24 28 15.8653846153846 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.24906580043102e-18
+4 0 2 0 0 24 24 30 15.8653846153846 7.105427357601e-15 7.105427357601e-15 63.4615384615385 5.45275194960084e-19
+4 0 2 0 0 24 24 32 15.8653846153846 7.105427357601e-15 7.105427357601e-15 84.6153846153846 -8.94559375101631e-19
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 1.36132923970286e-33
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 24 70 47.5961538461538 7.105427357601e-15 7.105427357601e-15 486.538461538462 3.50084958203594e-15
+12 0 2 0 0 24 24 72 47.5961538461538 7.105427357601e-15 7.105427357601e-15 507.692307692308 5.17268991979553e-16
+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.2212669088001e-16
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 1.16159593545224e-17
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 -2.57667973080416e-17
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 -1.08961905489179e-23
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 -7.25342253357077e-19
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 24 160 63.4615384615385 0 0 1438.46153846154 1.48503375762746e-34
+16 0 0 0 0 24 24 168 63.4615384615385 0 0 1523.07692307692 4.84005216567566e-32
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+16 0 0 0 0 24 24 192 63.4615384615385 0 0 1776.92307692308 -8.81693058543952e-35
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+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 0
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 -4.88458555024269e-19
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+16 0 1 0 0 24 24 20 63.4615384615385 0 0 -42.3076923076923 4.07441131182341e-19
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+16 0 1 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 2.084758859026e-15
+16 0 1 0 0 24 24 108 63.4615384615385 0 0 888.461538461538 8.79119864766612e-16
+16 0 1 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 -5.40593809430659e-16
+16 0 1 0 0 24 24 116 63.4615384615385 0 0 973.076923076923 -4.38899997260153e-16
+16 0 1 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 -8.50212525368794e-18
+16 0 1 0 0 24 24 124 63.4615384615385 0 0 1057.69230769231 2.89712012138917e-17
+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 1.47035128184262e-33
+16 0 1 0 0 24 24 132 63.4615384615385 0 0 1142.30769230769 5.30898814477319e-19
+16 0 1 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 5.95840440792333e-33
+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 3.63021125862411e-33
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 24 18 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 2.33062221048096e-19
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+16 0 2 0 0 24 24 50 63.4615384615385 7.105427357601e-15 7.105427357601e-15 275 1.0498128992298e-18
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+16 0 2 0 0 24 24 56 63.4615384615385 7.105427357601e-15 7.105427357601e-15 338.461538461538 2.30050757600121e-16
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+16 0 2 0 0 24 24 68 63.4615384615385 7.105427357601e-15 7.105427357601e-15 465.384615384615 -2.06333007270592e-15
+16 0 2 0 0 24 24 70 63.4615384615385 7.105427357601e-15 7.105427357601e-15 486.538461538462 -3.42304560941325e-16
+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 8.84907883189865e-16
+16 0 2 0 0 24 24 74 63.4615384615385 7.105427357601e-15 7.105427357601e-15 528.846153846154 6.77340871077608e-16
+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 9.07173978854979e-17
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 -3.00457184262128e-18
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 2.19953617113185e-18
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 -4.42119054604944e-18
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 24 24 12 79.3269230769231 0 0 -126.923076923077 1.29746171266144e-19
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+20 0 1 0 0 24 24 20 79.3269230769231 0 0 -42.3076923076923 3.57208661232466e-19
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+20 0 1 0 0 24 24 104 79.3269230769231 0 0 846.153846153846 4.63408919731691e-15
+20 0 1 0 0 24 24 108 79.3269230769231 0 0 888.461538461538 1.7213203698218e-15
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+20 0 1 0 0 24 24 116 79.3269230769231 0 0 973.076923076923 -5.13731858597795e-16
+20 0 1 0 0 24 24 120 79.3269230769231 0 0 1015.38461538462 -3.76751448541793e-17
+20 0 1 0 0 24 24 124 79.3269230769231 0 0 1057.69230769231 8.65298213679733e-18
+20 0 1 0 0 24 24 128 79.3269230769231 0 0 1100 -8.04828820367523e-19
+20 0 1 0 0 24 24 132 79.3269230769231 0 0 1142.30769230769 1.89996437515311e-18
+20 0 1 0 0 24 24 136 79.3269230769231 0 0 1184.61538461538 4.70354276433309e-26
+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 5.0261493217275e-20
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 24 24 18 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 -5.43822113049953e-19
+20 0 2 0 0 24 24 20 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 3.57208661232466e-19
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+20 0 2 0 0 24 24 26 79.3269230769231 7.105427357601e-15 7.105427357601e-15 21.1538461538462 8.20879537159549e-19
+20 0 2 0 0 24 24 28 79.3269230769231 7.105427357601e-15 7.105427357601e-15 42.3076923076923 -3.57208661232466e-19
+20 0 2 0 0 24 24 30 79.3269230769231 7.105427357601e-15 7.105427357601e-15 63.4615384615385 5.43822113049953e-19
+20 0 2 0 0 24 24 32 79.3269230769231 7.105427357601e-15 7.105427357601e-15 84.6153846153846 8.00929785083045e-20
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+20 0 2 0 0 24 24 38 79.3269230769231 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.01539018556741e-19
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 1 0 0 24 24 140 95.1923076923077 0 0 1226.92307692308 1.34030645860998e-19
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 24 24 47 95.1923076923077 7.105427357601e-15 7.105427357601e-15 243.269230769231 2.66852367398797e-19
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 24 140 111.057692307692 0 0 1226.92307692308 3.45471869952911e-19
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 4.95858840144349e-17
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 -1.12767775414541e-16
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kyz_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kyz_maximum.xg
new file mode 100644
index 000000000..ea5f70ed9
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kyz_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kyz
+"kyz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 3.4482655344370e-10
+1.5865384615385e+01 9.1564629166764e-10
+2.3798076923077e+01 1.2138753598589e-09
+3.1730769230769e+01 9.3586664441377e-10
+3.9663461538462e+01 1.4962838630253e-09
+4.7596153846154e+01 1.0931579984734e-09
+5.5528846153846e+01 1.4432749667502e-09
+6.3461538461538e+01 1.2739611717156e-09
+7.1394230769231e+01 1.4707016141077e-09
+7.5360576923077e+01 3.3380767524365e-09
+7.9326923076923e+01 1.1833419537642e-09
+8.3293269230769e+01 4.5533910998222e-09
+8.7259615384615e+01 1.7669635470418e-09
+9.1225961538462e+01 2.5531347293309e-09
+9.5192307692308e+01 1.1746220190522e-09
+9.9158653846154e+01 3.8717098486981e-09
+1.0312500000000e+02 2.1738606393355e-09
+1.0709134615385e+02 2.9155964720271e-09
+1.1105769230769e+02 1.9137014050761e-09
+1.1502403846154e+02 2.6311404339702e-09
+1.1899038461538e+02 2.2904751585524e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kyz_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kyz_minimum.xg
new file mode 100644
index 000000000..f0c4b7513
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kyz_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kyz
+"kyz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 -3.4482655344370e-10
+1.5865384615385e+01 -9.1564629166764e-10
+2.3798076923077e+01 -1.2138753598589e-09
+3.1730769230769e+01 -9.3586664441377e-10
+3.9663461538462e+01 -1.4962838630253e-09
+4.7596153846154e+01 -1.0603059541313e-09
+5.5528846153846e+01 -1.4432749667502e-09
+6.3461538461538e+01 -1.2739611717156e-09
+7.1394230769231e+01 -1.4707016141077e-09
+7.5360576923077e+01 -3.3380767524365e-09
+7.9326923076923e+01 -1.2908545947003e-09
+8.3293269230769e+01 -4.1912956017703e-09
+8.7259615384615e+01 -1.6749440756541e-09
+9.1225961538462e+01 -2.4013087005485e-09
+9.5192307692308e+01 -1.1746220190522e-09
+9.9158653846154e+01 -3.8717098486981e-09
+1.0312500000000e+02 -2.1738606393355e-09
+1.0709134615385e+02 -2.9155964720271e-09
+1.1105769230769e+02 -1.6682716424083e-09
+1.1502403846154e+02 -2.5073144676192e-09
+1.1899038461538e+02 -2.2904751585524e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kyz_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kyz_norm1.xg
new file mode 100644
index 000000000..f5c5664b0
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kyz_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kyz
+"kyz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 3.6903865119072e-11
+1.5865384615385e+01 2.2493644094009e-11
+2.3798076923077e+01 1.2701895216572e-10
+3.1730769230769e+01 6.4125439163996e-12
+3.9663461538462e+01 1.3406867175333e-10
+4.7596153846154e+01 3.3728548475232e-11
+5.5528846153846e+01 1.3847491561407e-10
+6.3461538461538e+01 7.7489271351353e-12
+7.1394230769231e+01 1.3381335463151e-10
+7.5360576923077e+01 3.3619745571444e-10
+7.9326923076923e+01 3.8204844000992e-11
+8.3293269230769e+01 4.2464527773824e-10
+8.7259615384615e+01 1.4298662148437e-10
+9.1225961538462e+01 3.0701290239682e-10
+9.5192307692308e+01 8.8055916313848e-12
+9.9158653846154e+01 3.6361812849468e-10
+1.0312500000000e+02 1.3656655370535e-10
+1.0709134615385e+02 3.4536908462856e-10
+1.1105769230769e+02 4.3894142689944e-11
+1.1502403846154e+02 3.2598406385871e-10
+1.1899038461538e+02 1.4121079239486e-10
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kyz_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kyz_norm2.xg
new file mode 100644
index 000000000..252deb956
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kyz_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kyz
+"kyz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 6.5642729849732e-11
+1.5865384615385e+01 8.2108012614757e-11
+2.3798076923077e+01 2.1716646529662e-10
+3.1730769230769e+01 4.1138646926912e-11
+3.9663461538462e+01 2.1372488167682e-10
+4.7596153846154e+01 9.4722371710225e-11
+5.5528846153846e+01 2.2205010578230e-10
+6.3461538461538e+01 5.0352364482097e-11
+7.1394230769231e+01 2.1884071434320e-10
+7.5360576923077e+01 5.0700208640350e-10
+7.9326923076923e+01 1.0353535709586e-10
+8.3293269230769e+01 6.5930533209916e-10
+8.7259615384615e+01 2.3934488498675e-10
+9.1225961538462e+01 4.2650092389817e-10
+9.5192307692308e+01 4.9058361557809e-11
+9.9158653846154e+01 5.4901836113202e-10
+1.0312500000000e+02 2.2614717760474e-10
+1.0709134615385e+02 5.0785306285182e-10
+1.1105769230769e+02 1.1122558902950e-10
+1.1502403846154e+02 4.6124171082160e-10
+1.1899038461538e+02 2.2668128593946e-10
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kzz.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/kzz.x.asc
new file mode 100644
index 000000000..0e0577bf7
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kzz.x.asc
@@ -0,0 +1,864 @@
+# ADMBASE::kzz x (kzz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 0
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 0
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 0
+0 0 0 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 0 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 0 0 0 96 24 24 0 761.538461538462 0 0 0
+0 0 0 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 0 0 0 128 24 24 0 1100 0 0 0
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 0
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 0
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 0
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 0
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 0
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 0
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 0
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 0
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 0
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 0
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 0
+0 0 0 0 0 232 24 24 0 2200 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 0
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 0
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 0
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 0
+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 1 0 0 52 24 24 0 296.153846153846 0 0 0
+0 0 1 0 0 56 24 24 0 338.461538461538 0 0 0
+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 0
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 0
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 1 0 0 76 24 24 0 550 0 0 0
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 1 0 0 84 24 24 0 634.615384615385 0 0 0
+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 1 0 0 92 24 24 0 719.230769230769 0 0 0
+0 0 1 0 0 96 24 24 0 761.538461538462 0 0 0
+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 0
+0 0 1 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 0
+0 0 1 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 0
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 0
+0 0 1 0 0 128 24 24 0 1100 0 0 0
+0 0 1 0 0 132 24 24 0 1142.30769230769 0 0 0
+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 20 24 24 0 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 22 24 24 0 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 26 24 24 0 21.1538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 28 24 24 0 42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 30 24 24 0 63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 32 24 24 0 84.6153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 34 24 24 0 105.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 36 24 24 0 126.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 38 24 24 0 148.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 40 24 24 0 169.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 42 24 24 0 190.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 44 24 24 0 211.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 46 24 24 0 232.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 48 24 24 0 253.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 50 24 24 0 275 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 52 24 24 0 296.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 54 24 24 0 317.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 56 24 24 0 338.461538461538 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 58 24 24 0 359.615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 60 24 24 0 380.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 62 24 24 0 401.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 64 24 24 0 423.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 66 24 24 0 444.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 68 24 24 0 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 70 24 24 0 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 72 24 24 0 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 74 24 24 0 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 76 24 24 0 550 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 78 24 24 0 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 80 24 24 0 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 12 24 24 15.8653846153846 -126.923076923077 0 0 -2.40282904283349e-09
+4 0 1 0 0 16 24 24 15.8653846153846 -84.6153846153846 0 0 1.12236045420993e-09
+4 0 1 0 0 20 24 24 15.8653846153846 -42.3076923076923 0 0 2.85181710818318e-09
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 2.02006735040117e-09
+4 0 1 0 0 28 24 24 15.8653846153846 42.3076923076923 0 0 2.85181710818318e-09
+4 0 1 0 0 32 24 24 15.8653846153846 84.6153846153846 0 0 1.12236045420993e-09
+4 0 1 0 0 36 24 24 15.8653846153846 126.923076923077 0 0 -2.40282904283349e-09
+4 0 1 0 0 40 24 24 15.8653846153846 169.230769230769 0 0 3.04024444591131e-09
+4 0 1 0 0 44 24 24 15.8653846153846 211.538461538462 0 0 -4.21035710070249e-09
+4 0 1 0 0 48 24 24 15.8653846153846 253.846153846154 0 0 -4.36462844598801e-09
+4 0 1 0 0 52 24 24 15.8653846153846 296.153846153846 0 0 -4.39383565980708e-09
+4 0 1 0 0 56 24 24 15.8653846153846 338.461538461538 0 0 -2.08391934914309e-09
+4 0 1 0 0 60 24 24 15.8653846153846 380.769230769231 0 0 2.60298435940626e-09
+4 0 1 0 0 64 24 24 15.8653846153846 423.076923076923 0 0 -1.68107741357002e-09
+4 0 1 0 0 68 24 24 15.8653846153846 465.384615384615 0 0 1.87918860872328e-10
+4 0 1 0 0 72 24 24 15.8653846153846 507.692307692308 0 0 3.55712356417597e-10
+4 0 1 0 0 76 24 24 15.8653846153846 550 0 0 3.13732355117004e-10
+4 0 1 0 0 80 24 24 15.8653846153846 592.307692307692 0 0 1.54331341380925e-10
+4 0 1 0 0 84 24 24 15.8653846153846 634.615384615385 0 0 -3.15466161653846e-10
+4 0 1 0 0 88 24 24 15.8653846153846 676.923076923077 0 0 1.91892589381004e-10
+4 0 1 0 0 92 24 24 15.8653846153846 719.230769230769 0 0 8.03855135247408e-12
+4 0 1 0 0 96 24 24 15.8653846153846 761.538461538462 0 0 2.25713463183338e-10
+4 0 1 0 0 100 24 24 15.8653846153846 803.846153846154 0 0 -1.37458415507896e-10
+4 0 1 0 0 104 24 24 15.8653846153846 846.153846153846 0 0 3.26248628524012e-11
+4 0 1 0 0 108 24 24 15.8653846153846 888.461538461538 0 0 2.04051467220805e-10
+4 0 1 0 0 112 24 24 15.8653846153846 930.769230769231 0 0 2.31099753806126e-10
+4 0 1 0 0 116 24 24 15.8653846153846 973.076923076923 0 0 2.05349808832178e-10
+4 0 1 0 0 120 24 24 15.8653846153846 1015.38461538462 0 0 1.7227795022178e-10
+4 0 1 0 0 124 24 24 15.8653846153846 1057.69230769231 0 0 1.69123152946992e-10
+4 0 1 0 0 128 24 24 15.8653846153846 1100 0 0 1.68093772805681e-10
+4 0 1 0 0 132 24 24 15.8653846153846 1142.30769230769 0 0 1.47970240825795e-10
+4 0 1 0 0 136 24 24 15.8653846153846 1184.61538461538 0 0 1.26364097468562e-10
+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 1.1701627851539e-10
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 18 24 24 15.8653846153846 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 3.22108135826427e-09
+4 0 2 0 0 20 24 24 15.8653846153846 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 2.85181710818318e-09
+4 0 2 0 0 22 24 24 15.8653846153846 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 -2.93692590733488e-09
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 2.02006735040117e-09
+4 0 2 0 0 26 24 24 15.8653846153846 21.1538461538462 7.105427357601e-15 7.105427357601e-15 -2.93692590733488e-09
+4 0 2 0 0 28 24 24 15.8653846153846 42.3076923076923 7.105427357601e-15 7.105427357601e-15 2.85181710818318e-09
+4 0 2 0 0 30 24 24 15.8653846153846 63.4615384615385 7.105427357601e-15 7.105427357601e-15 3.22108135826427e-09
+4 0 2 0 0 32 24 24 15.8653846153846 84.6153846153846 7.105427357601e-15 7.105427357601e-15 1.12236045420993e-09
+4 0 2 0 0 34 24 24 15.8653846153846 105.769230769231 7.105427357601e-15 7.105427357601e-15 -6.04749804597497e-10
+4 0 2 0 0 36 24 24 15.8653846153846 126.923076923077 7.105427357601e-15 7.105427357601e-15 -2.40282904283349e-09
+4 0 2 0 0 38 24 24 15.8653846153846 148.076923076923 7.105427357601e-15 7.105427357601e-15 -1.94675156599906e-09
+4 0 2 0 0 40 24 24 15.8653846153846 169.230769230769 7.105427357601e-15 7.105427357601e-15 3.04024444591131e-09
+4 0 2 0 0 42 24 24 15.8653846153846 190.384615384615 7.105427357601e-15 7.105427357601e-15 7.46550937459703e-10
+4 0 2 0 0 44 24 24 15.8653846153846 211.538461538462 7.105427357601e-15 7.105427357601e-15 -4.21035710070249e-09
+4 0 2 0 0 46 24 24 15.8653846153846 232.692307692308 7.105427357601e-15 7.105427357601e-15 4.8378527527429e-09
+4 0 2 0 0 48 24 24 15.8653846153846 253.846153846154 7.105427357601e-15 7.105427357601e-15 -4.36462844598801e-09
+4 0 2 0 0 50 24 24 15.8653846153846 275 7.105427357601e-15 7.105427357601e-15 4.20617631322996e-09
+4 0 2 0 0 52 24 24 15.8653846153846 296.153846153846 7.105427357601e-15 7.105427357601e-15 -4.39383565980708e-09
+4 0 2 0 0 54 24 24 15.8653846153846 317.307692307692 7.105427357601e-15 7.105427357601e-15 4.33820011823206e-09
+4 0 2 0 0 56 24 24 15.8653846153846 338.461538461538 7.105427357601e-15 7.105427357601e-15 -2.08391934914309e-09
+4 0 2 0 0 58 24 24 15.8653846153846 359.615384615385 7.105427357601e-15 7.105427357601e-15 -1.28739992295686e-09
+4 0 2 0 0 60 24 24 15.8653846153846 380.769230769231 7.105427357601e-15 7.105427357601e-15 2.60298435940626e-09
+4 0 2 0 0 62 24 24 15.8653846153846 401.923076923077 7.105427357601e-15 7.105427357601e-15 3.63445765760919e-10
+4 0 2 0 0 64 24 24 15.8653846153846 423.076923076923 7.105427357601e-15 7.105427357601e-15 -1.68107741357002e-09
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+4 0 2 0 0 68 24 24 15.8653846153846 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.87918860872328e-10
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 232 24 24 31.7307692307692 2200 0 0 3.44453856839064e-12
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 2.33969689314096e-10
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 3.39861904382548e-10
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 76 24 24 47.5961538461538 550 7.105427357601e-15 7.105427357601e-15 4.25547111537755e-10
+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 6.41119063063958e-10
+12 0 2 0 0 80 24 24 47.5961538461538 592.307692307692 7.105427357601e-15 7.105427357601e-15 8.27444314619176e-10
+12 0 2 0 0 82 24 24 47.5961538461538 613.461538461538 7.105427357601e-15 7.105427357601e-15 7.01234304126364e-10
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 -4.62564280710969e-11
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 108 24 24 63.4615384615385 888.461538461538 0 0 5.57810914637154e-10
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+16 0 1 0 0 120 24 24 63.4615384615385 1015.38461538462 0 0 7.33226163348029e-10
+16 0 1 0 0 124 24 24 63.4615384615385 1057.69230769231 0 0 6.65883662025255e-10
+16 0 1 0 0 128 24 24 63.4615384615385 1100 0 0 6.00886339783971e-10
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+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 4.38359031868433e-10
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 68 24 24 63.4615384615385 465.384615384615 7.105427357601e-15 7.105427357601e-15 4.32228522477627e-10
+16 0 2 0 0 70 24 24 63.4615384615385 486.538461538462 7.105427357601e-15 7.105427357601e-15 2.2091724741815e-10
+16 0 2 0 0 72 24 24 63.4615384615385 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.91998540277277e-10
+16 0 2 0 0 74 24 24 63.4615384615385 528.846153846154 7.105427357601e-15 7.105427357601e-15 3.64522596450548e-11
+16 0 2 0 0 76 24 24 63.4615384615385 550 7.105427357601e-15 7.105427357601e-15 -7.35004500405165e-11
+16 0 2 0 0 78 24 24 63.4615384615385 571.153846153846 7.105427357601e-15 7.105427357601e-15 -6.01983399238334e-11
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+16 0 2 0 0 82 24 24 63.4615384615385 613.461538461538 7.105427357601e-15 7.105427357601e-15 3.43624036638365e-10
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 5.39807257133508e-10
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 37 24 24 95.1923076923077 137.5 7.105427357601e-15 7.105427357601e-15 -1.3598545154946e-09
+24 0 3 0 0 38 24 24 95.1923076923077 148.076923076923 7.105427357601e-15 7.105427357601e-15 8.85919015877526e-10
+24 0 3 0 0 39 24 24 95.1923076923077 158.653846153846 7.105427357601e-15 7.105427357601e-15 4.23490325166425e-10
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+24 0 3 0 0 41 24 24 95.1923076923077 179.807692307692 7.105427357601e-15 7.105427357601e-15 -2.03633114824088e-09
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+24 0 3 0 0 43 24 24 95.1923076923077 200.961538461539 7.105427357601e-15 7.105427357601e-15 -5.00991888436236e-10
+24 0 3 0 0 44 24 24 95.1923076923077 211.538461538462 7.105427357601e-15 7.105427357601e-15 -4.87163696097174e-11
+24 0 3 0 0 45 24 24 95.1923076923077 222.115384615385 7.105427357601e-15 7.105427357601e-15 -7.36525697521079e-10
+24 0 3 0 0 46 24 24 95.1923076923077 232.692307692308 7.105427357601e-15 7.105427357601e-15 -1.1063984037937e-09
+24 0 3 0 0 47 24 24 95.1923076923077 243.269230769231 7.105427357601e-15 7.105427357601e-15 9.30017228837586e-10
+24 0 3 0 0 48 24 24 95.1923076923077 253.846153846154 7.105427357601e-15 7.105427357601e-15 2.38343037248143e-09
+24 0 3 0 0 49 24 24 95.1923076923077 264.423076923077 7.105427357601e-15 7.105427357601e-15 -5.87844999014913e-10
+24 0 3 0 0 50 24 24 95.1923076923077 275 7.105427357601e-15 7.105427357601e-15 -3.33244953282453e-09
+24 0 3 0 0 51 24 24 95.1923076923077 285.576923076923 7.105427357601e-15 7.105427357601e-15 -9.56125242718453e-10
+24 0 3 0 0 52 24 24 95.1923076923077 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.96185160566028e-09
+24 0 3 0 0 53 24 24 95.1923076923077 306.730769230769 7.105427357601e-15 7.105427357601e-15 1.73034001141716e-09
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 16 24 24 111.057692307692 -84.6153846153846 0 0 -9.50512046825405e-11
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+28 0 1 0 0 36 24 24 111.057692307692 126.923076923077 0 0 6.15264295095937e-10
+28 0 1 0 0 40 24 24 111.057692307692 169.230769230769 0 0 1.23779071822945e-09
+28 0 1 0 0 44 24 24 111.057692307692 211.538461538462 0 0 -2.48080150507044e-10
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+28 0 1 0 0 96 24 24 111.057692307692 761.538461538462 0 0 6.51991208064154e-10
+28 0 1 0 0 100 24 24 111.057692307692 803.846153846154 0 0 2.34413646143522e-10
+28 0 1 0 0 104 24 24 111.057692307692 846.153846153846 0 0 2.53975302066605e-10
+28 0 1 0 0 108 24 24 111.057692307692 888.461538461538 0 0 7.66703908505907e-10
+28 0 1 0 0 112 24 24 111.057692307692 930.769230769231 0 0 1.12487104852906e-09
+28 0 1 0 0 116 24 24 111.057692307692 973.076923076923 0 0 1.18747199337666e-09
+28 0 1 0 0 120 24 24 111.057692307692 1015.38461538462 0 0 1.14060212097116e-09
+28 0 1 0 0 124 24 24 111.057692307692 1057.69230769231 0 0 1.05039728782679e-09
+28 0 1 0 0 128 24 24 111.057692307692 1100 0 0 9.41659734162714e-10
+28 0 1 0 0 132 24 24 111.057692307692 1142.30769230769 0 0 8.7124212665735e-10
+28 0 1 0 0 136 24 24 111.057692307692 1184.61538461538 0 0 8.08853301772518e-10
+28 0 1 0 0 140 24 24 111.057692307692 1226.92307692308 0 0 7.39685381070989e-10
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 18 24 24 111.057692307692 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -1.39446793198079e-10
+28 0 2 0 0 20 24 24 111.057692307692 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 -3.10545415899542e-09
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+28 0 2 0 0 68 24 24 111.057692307692 465.384615384615 7.105427357601e-15 7.105427357601e-15 2.08853276838744e-12
+28 0 2 0 0 70 24 24 111.057692307692 486.538461538462 7.105427357601e-15 7.105427357601e-15 7.40636487818808e-11
+28 0 2 0 0 72 24 24 111.057692307692 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.09705699756147e-10
+28 0 2 0 0 74 24 24 111.057692307692 528.846153846154 7.105427357601e-15 7.105427357601e-15 2.05821040925703e-10
+28 0 2 0 0 76 24 24 111.057692307692 550 7.105427357601e-15 7.105427357601e-15 2.68583213105812e-10
+28 0 2 0 0 78 24 24 111.057692307692 571.153846153846 7.105427357601e-15 7.105427357601e-15 2.07505987744598e-10
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+28 0 2 0 0 82 24 24 111.057692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 -4.27263121468107e-12
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 22 24 24 111.057692307692 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 -8.37296275753477e-10
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+28 0 3 0 0 39 24 24 111.057692307692 158.653846153846 7.105427357601e-15 7.105427357601e-15 -1.64733206291864e-10
+28 0 3 0 0 40 24 24 111.057692307692 169.230769230769 7.105427357601e-15 7.105427357601e-15 1.23779071822945e-09
+28 0 3 0 0 41 24 24 111.057692307692 179.807692307692 7.105427357601e-15 7.105427357601e-15 -3.99637044546807e-10
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+28 0 3 0 0 45 24 24 111.057692307692 222.115384615385 7.105427357601e-15 7.105427357601e-15 -3.16008881559944e-10
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+28 0 3 0 0 47 24 24 111.057692307692 243.269230769231 7.105427357601e-15 7.105427357601e-15 -7.14499985990114e-10
+28 0 3 0 0 48 24 24 111.057692307692 253.846153846154 7.105427357601e-15 7.105427357601e-15 -6.60825253061973e-10
+28 0 3 0 0 49 24 24 111.057692307692 264.423076923077 7.105427357601e-15 7.105427357601e-15 -3.35153768816399e-10
+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 1.29199911086069e-10
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 9.15521683591446e-10
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.20064115503029e-09
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 -4.84483041935571e-10
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kzz.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/kzz.y.asc
new file mode 100644
index 000000000..7ed200a42
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kzz.y.asc
@@ -0,0 +1,864 @@
+# ADMBASE::kzz y (kzz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 0
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 0
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+0 0 0 0 0 24 24 24 0 0 0 0 0
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+0 0 0 0 0 24 40 24 0 0 169.230769230769 0 0
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+0 0 0 0 0 24 88 24 0 0 676.923076923077 0 0
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+0 0 0 0 0 24 104 24 0 0 846.153846153846 0 0
+0 0 0 0 0 24 112 24 0 0 930.769230769231 0 0
+0 0 0 0 0 24 120 24 0 0 1015.38461538462 0 0
+0 0 0 0 0 24 128 24 0 0 1100 0 0
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+0 0 0 0 0 24 144 24 0 0 1269.23076923077 0 0
+0 0 0 0 0 24 152 24 0 0 1353.84615384615 0 0
+0 0 0 0 0 24 160 24 0 0 1438.46153846154 0 0
+0 0 0 0 0 24 168 24 0 0 1523.07692307692 0 0
+0 0 0 0 0 24 176 24 0 0 1607.69230769231 0 0
+0 0 0 0 0 24 184 24 0 0 1692.30769230769 0 0
+0 0 0 0 0 24 192 24 0 0 1776.92307692308 0 0
+0 0 0 0 0 24 200 24 0 0 1861.53846153846 0 0
+0 0 0 0 0 24 208 24 0 0 1946.15384615385 0 0
+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 0
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 0
+0 0 0 0 0 24 232 24 0 0 2200 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 0
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 0
+0 0 1 0 0 24 20 24 0 0 -42.3076923076923 0 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 24 28 24 0 0 42.3076923076923 0 0
+0 0 1 0 0 24 32 24 0 0 84.6153846153846 0 0
+0 0 1 0 0 24 36 24 0 0 126.923076923077 0 0
+0 0 1 0 0 24 40 24 0 0 169.230769230769 0 0
+0 0 1 0 0 24 44 24 0 0 211.538461538462 0 0
+0 0 1 0 0 24 48 24 0 0 253.846153846154 0 0
+0 0 1 0 0 24 52 24 0 0 296.153846153846 0 0
+0 0 1 0 0 24 56 24 0 0 338.461538461538 0 0
+0 0 1 0 0 24 60 24 0 0 380.769230769231 0 0
+0 0 1 0 0 24 64 24 0 0 423.076923076923 0 0
+0 0 1 0 0 24 68 24 0 0 465.384615384615 0 0
+0 0 1 0 0 24 72 24 0 0 507.692307692308 0 0
+0 0 1 0 0 24 76 24 0 0 550 0 0
+0 0 1 0 0 24 80 24 0 0 592.307692307692 0 0
+0 0 1 0 0 24 84 24 0 0 634.615384615385 0 0
+0 0 1 0 0 24 88 24 0 0 676.923076923077 0 0
+0 0 1 0 0 24 92 24 0 0 719.230769230769 0 0
+0 0 1 0 0 24 96 24 0 0 761.538461538462 0 0
+0 0 1 0 0 24 100 24 0 0 803.846153846154 0 0
+0 0 1 0 0 24 104 24 0 0 846.153846153846 0 0
+0 0 1 0 0 24 108 24 0 0 888.461538461538 0 0
+0 0 1 0 0 24 112 24 0 0 930.769230769231 0 0
+0 0 1 0 0 24 116 24 0 0 973.076923076923 0 0
+0 0 1 0 0 24 120 24 0 0 1015.38461538462 0 0
+0 0 1 0 0 24 124 24 0 0 1057.69230769231 0 0
+0 0 1 0 0 24 128 24 0 0 1100 0 0
+0 0 1 0 0 24 132 24 0 0 1142.30769230769 0 0
+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 1.17016278515393e-10
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 18 24 15.8653846153846 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 3.22108136086195e-09
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+4 0 2 0 0 24 72 24 15.8653846153846 7.105427357601e-15 507.692307692308 7.105427357601e-15 3.55712356417597e-10
+4 0 2 0 0 24 74 24 15.8653846153846 7.105427357601e-15 528.846153846154 7.105427357601e-15 3.55166059046992e-10
+4 0 2 0 0 24 76 24 15.8653846153846 7.105427357601e-15 550 7.105427357601e-15 3.13732355117016e-10
+4 0 2 0 0 24 78 24 15.8653846153846 7.105427357601e-15 571.153846153846 7.105427357601e-15 2.60780771269396e-10
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 0 24 31.7307692307692 0 -253.846153846154 0 1.78141947297437e-09
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+8 0 0 0 0 24 232 24 31.7307692307692 0 2200 0 3.44453882595261e-12
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 12 24 31.7307692307692 0 -126.923076923077 0 2.49010257913829e-10
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+8 0 1 0 0 24 128 24 31.7307692307692 0 1100 0 3.36022851371257e-10
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+8 0 1 0 0 24 140 24 31.7307692307692 0 1226.92307692308 0 2.33969689314101e-10
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 3.39861904382554e-10
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 70 24 47.5961538461538 7.105427357601e-15 486.538461538462 7.105427357601e-15 9.06057765991992e-10
+12 0 2 0 0 24 72 24 47.5961538461538 7.105427357601e-15 507.692307692308 7.105427357601e-15 5.80303481085771e-10
+12 0 2 0 0 24 74 24 47.5961538461538 7.105427357601e-15 528.846153846154 7.105427357601e-15 4.39963269251413e-10
+12 0 2 0 0 24 76 24 47.5961538461538 7.105427357601e-15 550 7.105427357601e-15 4.25547111863485e-10
+12 0 2 0 0 24 78 24 47.5961538461538 7.105427357601e-15 571.153846153846 7.105427357601e-15 6.41119063164498e-10
+12 0 2 0 0 24 80 24 47.5961538461538 7.105427357601e-15 592.307692307692 7.105427357601e-15 8.27444314293419e-10
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 232 24 63.4615384615385 0 2200 0 -4.62564282877959e-11
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 124 24 63.4615384615385 0 1057.69230769231 0 6.65883661761928e-10
+16 0 1 0 0 24 128 24 63.4615384615385 0 1100 0 6.00886339783971e-10
+16 0 1 0 0 24 132 24 63.4615384615385 0 1142.30769230769 0 5.32765885541012e-10
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 4.38359031868438e-10
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 18 24 63.4615384615385 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.96538942545978e-09
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 140 24 79.3269230769231 0 1226.92307692308 0 5.39807257133685e-10
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 66 24 111.057692307692 7.105427357601e-15 444.230769230769 7.105427357601e-15 -2.50227421644411e-10
+28 0 2 0 0 24 68 24 111.057692307692 7.105427357601e-15 465.384615384615 7.105427357601e-15 2.08854259544671e-12
+28 0 2 0 0 24 70 24 111.057692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 7.40636529397603e-11
+28 0 2 0 0 24 72 24 111.057692307692 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.09705696362527e-10
+28 0 2 0 0 24 74 24 111.057692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 2.05821034842216e-10
+28 0 2 0 0 24 76 24 111.057692307692 7.105427357601e-15 550 7.105427357601e-15 2.68583206997942e-10
+28 0 2 0 0 24 78 24 111.057692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 2.0750598550543e-10
+28 0 2 0 0 24 80 24 111.057692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.097215868272e-10
+28 0 2 0 0 24 82 24 111.057692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 -4.27262833733869e-12
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 24 21 24 111.057692307692 7.105427357601e-15 -31.7307692307692 7.105427357601e-15 -1.50886048157366e-09
+28 0 3 0 0 24 22 24 111.057692307692 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 -8.3729979042387e-10
+28 0 3 0 0 24 23 24 111.057692307692 7.105427357601e-15 -10.5769230769231 7.105427357601e-15 -1.81539650814986e-09
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+28 0 3 0 0 24 25 24 111.057692307692 7.105427357601e-15 10.5769230769231 7.105427357601e-15 -1.81539650814986e-09
+28 0 3 0 0 24 26 24 111.057692307692 7.105427357601e-15 21.1538461538462 7.105427357601e-15 -8.3729979042387e-10
+28 0 3 0 0 24 27 24 111.057692307692 7.105427357601e-15 31.7307692307692 7.105427357601e-15 -1.50886048157366e-09
+28 0 3 0 0 24 28 24 111.057692307692 7.105427357601e-15 42.3076923076923 7.105427357601e-15 -3.1054590100059e-09
+28 0 3 0 0 24 29 24 111.057692307692 7.105427357601e-15 52.8846153846154 7.105427357601e-15 -1.94553976222314e-09
+28 0 3 0 0 24 30 24 111.057692307692 7.105427357601e-15 63.4615384615385 7.105427357601e-15 -1.39457449805062e-10
+28 0 3 0 0 24 31 24 111.057692307692 7.105427357601e-15 74.0384615384616 7.105427357601e-15 3.1463097387999e-10
+28 0 3 0 0 24 32 24 111.057692307692 7.105427357601e-15 84.6153846153846 7.105427357601e-15 -9.50634987942606e-11
+28 0 3 0 0 24 33 24 111.057692307692 7.105427357601e-15 95.1923076923077 7.105427357601e-15 -7.31031431053455e-10
+28 0 3 0 0 24 34 24 111.057692307692 7.105427357601e-15 105.769230769231 7.105427357601e-15 -1.42188779045646e-09
+28 0 3 0 0 24 35 24 111.057692307692 7.105427357601e-15 116.346153846154 7.105427357601e-15 -3.04986587768124e-10
+28 0 3 0 0 24 36 24 111.057692307692 7.105427357601e-15 126.923076923077 7.105427357601e-15 6.15265898620307e-10
+28 0 3 0 0 24 37 24 111.057692307692 7.105427357601e-15 137.5 7.105427357601e-15 -3.47567327766298e-11
+28 0 3 0 0 24 38 24 111.057692307692 7.105427357601e-15 148.076923076923 7.105427357601e-15 -1.26075291314379e-09
+28 0 3 0 0 24 39 24 111.057692307692 7.105427357601e-15 158.653846153846 7.105427357601e-15 -1.64731952356156e-10
+28 0 3 0 0 24 40 24 111.057692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.23779073429209e-09
+28 0 3 0 0 24 41 24 111.057692307692 7.105427357601e-15 179.807692307692 7.105427357601e-15 -3.99639007288155e-10
+28 0 3 0 0 24 42 24 111.057692307692 7.105427357601e-15 190.384615384615 7.105427357601e-15 -2.11997017170082e-09
+28 0 3 0 0 24 43 24 111.057692307692 7.105427357601e-15 200.961538461539 7.105427357601e-15 -1.28318321989284e-09
+28 0 3 0 0 24 44 24 111.057692307692 7.105427357601e-15 211.538461538462 7.105427357601e-15 -2.48081454133335e-10
+28 0 3 0 0 24 45 24 111.057692307692 7.105427357601e-15 222.115384615385 7.105427357601e-15 -3.16009551020383e-10
+28 0 3 0 0 24 46 24 111.057692307692 7.105427357601e-15 232.692307692308 7.105427357601e-15 -6.22581059378473e-10
+28 0 3 0 0 24 47 24 111.057692307692 7.105427357601e-15 243.269230769231 7.105427357601e-15 -7.14499995346e-10
+28 0 3 0 0 24 48 24 111.057692307692 7.105427357601e-15 253.846153846154 7.105427357601e-15 -6.60825275488856e-10
+28 0 3 0 0 24 49 24 111.057692307692 7.105427357601e-15 264.423076923077 7.105427357601e-15 -3.35153776623479e-10
+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 1.29199904241648e-10
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 9.15521682618521e-10
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.20064115623412e-09
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 -4.84483048253929e-10
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kzz.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/kzz.z.asc
new file mode 100644
index 000000000..e963ffb3f
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kzz.z.asc
@@ -0,0 +1,864 @@
+# ADMBASE::kzz z (kzz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 0
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 0
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 0 0 0 24 24 48 0 0 0 253.846153846154 0
+0 0 0 0 0 24 24 56 0 0 0 338.461538461539 0
+0 0 0 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 0 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 0 0 0 24 24 80 0 0 0 592.307692307692 0
+0 0 0 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 0 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 0 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 0 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 0 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 0 0 0 24 24 128 0 0 0 1100 0
+0 0 0 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 0
+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 0
+0 0 0 0 0 24 24 160 0 0 0 1438.46153846154 0
+0 0 0 0 0 24 24 168 0 0 0 1523.07692307692 0
+0 0 0 0 0 24 24 176 0 0 0 1607.69230769231 0
+0 0 0 0 0 24 24 184 0 0 0 1692.30769230769 0
+0 0 0 0 0 24 24 192 0 0 0 1776.92307692308 0
+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 0
+0 0 0 0 0 24 24 208 0 0 0 1946.15384615385 0
+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 0
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 0
+0 0 0 0 0 24 24 232 0 0 0 2200 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 0
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 24 24 28 0 0 0 42.3076923076923 0
+0 0 1 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 1 0 0 24 24 36 0 0 0 126.923076923077 0
+0 0 1 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 1 0 0 24 24 44 0 0 0 211.538461538462 0
+0 0 1 0 0 24 24 48 0 0 0 253.846153846154 0
+0 0 1 0 0 24 24 52 0 0 0 296.153846153846 0
+0 0 1 0 0 24 24 56 0 0 0 338.461538461538 0
+0 0 1 0 0 24 24 60 0 0 0 380.769230769231 0
+0 0 1 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 1 0 0 24 24 68 0 0 0 465.384615384615 0
+0 0 1 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 1 0 0 24 24 76 0 0 0 550 0
+0 0 1 0 0 24 24 80 0 0 0 592.307692307692 0
+0 0 1 0 0 24 24 84 0 0 0 634.615384615385 0
+0 0 1 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 1 0 0 24 24 92 0 0 0 719.230769230769 0
+0 0 1 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 1 0 0 24 24 100 0 0 0 803.846153846154 0
+0 0 1 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 1 0 0 24 24 108 0 0 0 888.461538461538 0
+0 0 1 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 1 0 0 24 24 116 0 0 0 973.076923076923 0
+0 0 1 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 1 0 0 24 24 124 0 0 0 1057.69230769231 0
+0 0 1 0 0 24 24 128 0 0 0 1100 0
+0 0 1 0 0 24 24 132 0 0 0 1142.30769230769 0
+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
+0 0 2 0 0 24 24 20 0 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 0
+0 0 2 0 0 24 24 22 0 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 24 24 26 0 7.105427357601e-15 7.105427357601e-15 21.1538461538462 0
+0 0 2 0 0 24 24 28 0 7.105427357601e-15 7.105427357601e-15 42.3076923076923 0
+0 0 2 0 0 24 24 30 0 7.105427357601e-15 7.105427357601e-15 63.4615384615385 0
+0 0 2 0 0 24 24 32 0 7.105427357601e-15 7.105427357601e-15 84.6153846153846 0
+0 0 2 0 0 24 24 34 0 7.105427357601e-15 7.105427357601e-15 105.769230769231 0
+0 0 2 0 0 24 24 36 0 7.105427357601e-15 7.105427357601e-15 126.923076923077 0
+0 0 2 0 0 24 24 38 0 7.105427357601e-15 7.105427357601e-15 148.076923076923 0
+0 0 2 0 0 24 24 40 0 7.105427357601e-15 7.105427357601e-15 169.230769230769 0
+0 0 2 0 0 24 24 42 0 7.105427357601e-15 7.105427357601e-15 190.384615384615 0
+0 0 2 0 0 24 24 44 0 7.105427357601e-15 7.105427357601e-15 211.538461538462 0
+0 0 2 0 0 24 24 46 0 7.105427357601e-15 7.105427357601e-15 232.692307692308 0
+0 0 2 0 0 24 24 48 0 7.105427357601e-15 7.105427357601e-15 253.846153846154 0
+0 0 2 0 0 24 24 50 0 7.105427357601e-15 7.105427357601e-15 275 0
+0 0 2 0 0 24 24 52 0 7.105427357601e-15 7.105427357601e-15 296.153846153846 0
+0 0 2 0 0 24 24 54 0 7.105427357601e-15 7.105427357601e-15 317.307692307692 0
+0 0 2 0 0 24 24 56 0 7.105427357601e-15 7.105427357601e-15 338.461538461538 0
+0 0 2 0 0 24 24 58 0 7.105427357601e-15 7.105427357601e-15 359.615384615385 0
+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 0
+0 0 2 0 0 24 24 62 0 7.105427357601e-15 7.105427357601e-15 401.923076923077 0
+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 0
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 0
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 0
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 0
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 0
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 0
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 1.3299684508344e-09
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 -4.32584093810116e-09
+4 0 1 0 0 24 24 20 15.8653846153846 0 0 -42.3076923076923 -2.6917359629624e-09
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 2.02006735040117e-09
+4 0 1 0 0 24 24 28 15.8653846153846 0 0 42.3076923076923 -2.6917359629624e-09
+4 0 1 0 0 24 24 32 15.8653846153846 0 0 84.6153846153846 -4.32584093810116e-09
+4 0 1 0 0 24 24 36 15.8653846153846 0 0 126.923076923077 1.3299684508344e-09
+4 0 1 0 0 24 24 40 15.8653846153846 0 0 169.230769230769 -5.95083592011314e-10
+4 0 1 0 0 24 24 44 15.8653846153846 0 0 211.538461538462 2.45191857309298e-09
+4 0 1 0 0 24 24 48 15.8653846153846 0 0 253.846153846154 5.63354396797756e-09
+4 0 1 0 0 24 24 52 15.8653846153846 0 0 296.153846153846 4.95448914907464e-09
+4 0 1 0 0 24 24 56 15.8653846153846 0 0 338.461538461538 1.04414509059886e-09
+4 0 1 0 0 24 24 60 15.8653846153846 0 0 380.769230769231 -9.63233202946312e-10
+4 0 1 0 0 24 24 64 15.8653846153846 0 0 423.076923076923 2.80935594493919e-10
+4 0 1 0 0 24 24 68 15.8653846153846 0 0 465.384615384615 -4.94448681764623e-10
+4 0 1 0 0 24 24 72 15.8653846153846 0 0 507.692307692308 4.59798848575987e-11
+4 0 1 0 0 24 24 76 15.8653846153846 0 0 550 1.1515708715068e-10
+4 0 1 0 0 24 24 80 15.8653846153846 0 0 592.307692307692 -1.74567820250728e-10
+4 0 1 0 0 24 24 84 15.8653846153846 0 0 634.615384615385 -1.41288520100102e-10
+4 0 1 0 0 24 24 88 15.8653846153846 0 0 676.923076923077 7.60450217169759e-11
+4 0 1 0 0 24 24 92 15.8653846153846 0 0 719.230769230769 9.94082468426767e-11
+4 0 1 0 0 24 24 96 15.8653846153846 0 0 761.538461538462 7.7849778105696e-11
+4 0 1 0 0 24 24 100 15.8653846153846 0 0 803.846153846154 3.05070212710325e-11
+4 0 1 0 0 24 24 104 15.8653846153846 0 0 846.153846153846 -2.82449717577793e-11
+4 0 1 0 0 24 24 108 15.8653846153846 0 0 888.461538461538 1.85414106564606e-10
+4 0 1 0 0 24 24 112 15.8653846153846 0 0 930.769230769231 1.95842564494828e-10
+4 0 1 0 0 24 24 116 15.8653846153846 0 0 973.076923076923 1.85163983862684e-10
+4 0 1 0 0 24 24 120 15.8653846153846 0 0 1015.38461538462 1.71177372843252e-10
+4 0 1 0 0 24 24 124 15.8653846153846 0 0 1057.69230769231 1.67234829945581e-10
+4 0 1 0 0 24 24 128 15.8653846153846 0 0 1100 1.63608511993073e-10
+4 0 1 0 0 24 24 132 15.8653846153846 0 0 1142.30769230769 1.5400851284498e-10
+4 0 1 0 0 24 24 136 15.8653846153846 0 0 1184.61538461538 1.41503388380005e-10
+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 1.2616369264186e-10
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 24 18 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 -5.64274310394653e-09
+4 0 2 0 0 24 24 20 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 -2.6917359629624e-09
+4 0 2 0 0 24 24 22 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 3.66414746486063e-09
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 2.02006735040117e-09
+4 0 2 0 0 24 24 26 15.8653846153846 7.105427357601e-15 7.105427357601e-15 21.1538461538462 3.66414746486063e-09
+4 0 2 0 0 24 24 28 15.8653846153846 7.105427357601e-15 7.105427357601e-15 42.3076923076923 -2.6917359629624e-09
+4 0 2 0 0 24 24 30 15.8653846153846 7.105427357601e-15 7.105427357601e-15 63.4615384615385 -5.64274310394653e-09
+4 0 2 0 0 24 24 32 15.8653846153846 7.105427357601e-15 7.105427357601e-15 84.6153846153846 -4.32584093810116e-09
+4 0 2 0 0 24 24 34 15.8653846153846 7.105427357601e-15 7.105427357601e-15 105.769230769231 -2.81499968368354e-09
+4 0 2 0 0 24 24 36 15.8653846153846 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.3299684508344e-09
+4 0 2 0 0 24 24 38 15.8653846153846 7.105427357601e-15 7.105427357601e-15 148.076923076923 3.78902620830547e-09
+4 0 2 0 0 24 24 40 15.8653846153846 7.105427357601e-15 7.105427357601e-15 169.230769230769 -5.95083592011314e-10
+4 0 2 0 0 24 24 42 15.8653846153846 7.105427357601e-15 7.105427357601e-15 190.384615384615 -2.19092104852492e-10
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+4 0 2 0 0 24 24 46 15.8653846153846 7.105427357601e-15 7.105427357601e-15 232.692307692308 -4.44803465094968e-09
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+4 0 2 0 0 24 24 78 15.8653846153846 7.105427357601e-15 7.105427357601e-15 571.153846153846 -2.75010763764447e-11
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 3.83389009213118e-12
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 24 24 100 31.7307692307692 0 0 803.846153846154 3.23582288234968e-10
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+8 0 1 0 0 24 24 120 31.7307692307692 0 0 1015.38461538462 3.42045144260352e-10
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+8 0 1 0 0 24 24 140 31.7307692307692 0 0 1226.92307692308 2.52264517475386e-10
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 24 70 31.7307692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 -8.54470522935559e-10
+8 0 2 0 0 24 24 72 31.7307692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 6.9433813636015e-11
+8 0 2 0 0 24 24 74 31.7307692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 2.40934493894859e-10
+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 1.7464554720655e-10
+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 -1.51047214193247e-10
+8 0 2 0 0 24 24 80 31.7307692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 -4.11103809717373e-10
+8 0 2 0 0 24 24 82 31.7307692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 -1.07772315465358e-10
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 24 12 47.5961538461538 0 0 -126.923076923077 4.82984033139033e-09
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+12 0 1 0 0 24 24 104 47.5961538461538 0 0 846.153846153846 2.46176691476951e-10
+12 0 1 0 0 24 24 108 47.5961538461538 0 0 888.461538461538 4.15265884394888e-10
+12 0 1 0 0 24 24 112 47.5961538461538 0 0 930.769230769231 4.7535807078754e-10
+12 0 1 0 0 24 24 116 47.5961538461538 0 0 973.076923076923 5.17037004110571e-10
+12 0 1 0 0 24 24 120 47.5961538461538 0 0 1015.38461538462 5.34234425443961e-10
+12 0 1 0 0 24 24 124 47.5961538461538 0 0 1057.69230769231 5.10012971440281e-10
+12 0 1 0 0 24 24 128 47.5961538461538 0 0 1100 4.72617205823739e-10
+12 0 1 0 0 24 24 132 47.5961538461538 0 0 1142.30769230769 4.51413377061445e-10
+12 0 1 0 0 24 24 136 47.5961538461538 0 0 1184.61538461538 4.25962414742439e-10
+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 3.79490629849451e-10
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 24 18 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.72585549109028e-09
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+12 0 2 0 0 24 24 52 47.5961538461538 7.105427357601e-15 7.105427357601e-15 296.153846153846 -9.21030327838658e-09
+12 0 2 0 0 24 24 54 47.5961538461538 7.105427357601e-15 7.105427357601e-15 317.307692307692 9.61819542430965e-09
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+12 0 2 0 0 24 24 72 47.5961538461538 7.105427357601e-15 7.105427357601e-15 507.692307692308 4.73113660133228e-10
+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 7.02096874088534e-10
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 6.44227299783109e-10
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.524185299717e-10
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 -2.79722413497161e-10
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 -1.28807865515499e-11
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 24 176 63.4615384615385 0 0 1607.69230769231 1.88172462525406e-10
+16 0 0 0 0 24 24 184 63.4615384615385 0 0 1692.30769230769 1.537790038472e-10
+16 0 0 0 0 24 24 192 63.4615384615385 0 0 1776.92307692308 1.25867076801624e-10
+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 1.03998598850547e-10
+16 0 0 0 0 24 24 208 63.4615384615385 0 0 1946.15384615385 8.76800585836392e-11
+16 0 0 0 0 24 24 216 63.4615384615385 0 0 2030.76923076923 2.84555759957128e-11
+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 9.61851460566348e-12
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 -3.20013478888334e-11
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 -3.70687459398693e-09
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+16 0 1 0 0 24 24 48 63.4615384615385 0 0 253.846153846154 6.87571580566003e-09
+16 0 1 0 0 24 24 52 63.4615384615385 0 0 296.153846153846 5.19523218548775e-09
+16 0 1 0 0 24 24 56 63.4615384615385 0 0 338.461538461538 -5.7721019652936e-09
+16 0 1 0 0 24 24 60 63.4615384615385 0 0 380.769230769231 3.66604064148927e-09
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+16 0 1 0 0 24 24 84 63.4615384615385 0 0 634.615384615385 1.62298440931677e-10
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+16 0 1 0 0 24 24 96 63.4615384615385 0 0 761.538461538462 6.65144197858893e-10
+16 0 1 0 0 24 24 100 63.4615384615385 0 0 803.846153846154 2.82976977484829e-10
+16 0 1 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 6.9432581658053e-10
+16 0 1 0 0 24 24 108 63.4615384615385 0 0 888.461538461538 5.75691039739261e-10
+16 0 1 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 4.85403587601477e-10
+16 0 1 0 0 24 24 116 63.4615384615385 0 0 973.076923076923 6.08364598476719e-10
+16 0 1 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 7.40534840485399e-10
+16 0 1 0 0 24 24 124 63.4615384615385 0 0 1057.69230769231 6.91545943792433e-10
+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 6.06207887077364e-10
+16 0 1 0 0 24 24 132 63.4615384615385 0 0 1142.30769230769 5.87973897900729e-10
+16 0 1 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 5.70060523167959e-10
+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 5.07445975920043e-10
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 24 18 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 -4.07182227809181e-09
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+16 0 2 0 0 24 24 50 63.4615384615385 7.105427357601e-15 7.105427357601e-15 275 -8.06222756035077e-09
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+16 0 2 0 0 24 24 58 63.4615384615385 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.21067471521064e-09
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+16 0 2 0 0 24 24 66 63.4615384615385 7.105427357601e-15 7.105427357601e-15 444.230769230769 -1.32460424452377e-09
+16 0 2 0 0 24 24 68 63.4615384615385 7.105427357601e-15 7.105427357601e-15 465.384615384615 3.40960048321708e-10
+16 0 2 0 0 24 24 70 63.4615384615385 7.105427357601e-15 7.105427357601e-15 486.538461538462 6.39611503912493e-10
+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 6.6842087911902e-10
+16 0 2 0 0 24 24 74 63.4615384615385 7.105427357601e-15 7.105427357601e-15 528.846153846154 9.1556327754778e-10
+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 1.06376019408566e-09
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 8.84187968178774e-10
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 6.00524624854247e-10
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 2.86113432375333e-10
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 24 24 12 79.3269230769231 0 0 -126.923076923077 -1.98651758168171e-09
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+20 0 1 0 0 24 24 100 79.3269230769231 0 0 803.846153846154 3.89379093949821e-10
+20 0 1 0 0 24 24 104 79.3269230769231 0 0 846.153846153846 1.08459721608821e-09
+20 0 1 0 0 24 24 108 79.3269230769231 0 0 888.461538461538 8.18131238681977e-10
+20 0 1 0 0 24 24 112 79.3269230769231 0 0 930.769230769231 5.32075924895733e-10
+20 0 1 0 0 24 24 116 79.3269230769231 0 0 973.076923076923 6.73705650623153e-10
+20 0 1 0 0 24 24 120 79.3269230769231 0 0 1015.38461538462 8.77228150634306e-10
+20 0 1 0 0 24 24 124 79.3269230769231 0 0 1057.69230769231 8.4772938714744e-10
+20 0 1 0 0 24 24 128 79.3269230769231 0 0 1100 7.6568487546657e-10
+20 0 1 0 0 24 24 132 79.3269230769231 0 0 1142.30769230769 7.29663273674959e-10
+20 0 1 0 0 24 24 136 79.3269230769231 0 0 1184.61538461538 6.899690387244e-10
+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 6.2196648296606e-10
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 24 24 18 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 3.17972876406462e-09
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+20 0 2 0 0 24 24 28 79.3269230769231 7.105427357601e-15 7.105427357601e-15 42.3076923076923 -2.47768862570656e-09
+20 0 2 0 0 24 24 30 79.3269230769231 7.105427357601e-15 7.105427357601e-15 63.4615384615385 3.17972876406462e-09
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+20 0 2 0 0 24 24 38 79.3269230769231 7.105427357601e-15 7.105427357601e-15 148.076923076923 3.75433947004535e-10
+20 0 2 0 0 24 24 40 79.3269230769231 7.105427357601e-15 7.105427357601e-15 169.230769230769 2.13023091376943e-09
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 1 0 0 24 24 140 95.1923076923077 0 0 1226.92307692308 7.27773507385099e-10
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 24 24 47 95.1923076923077 7.105427357601e-15 7.105427357601e-15 243.269230769231 -1.88903142279158e-09
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+24 0 3 0 0 24 24 49 95.1923076923077 7.105427357601e-15 7.105427357601e-15 264.423076923077 7.93064895964818e-10
+24 0 3 0 0 24 24 50 95.1923076923077 7.105427357601e-15 7.105427357601e-15 275 5.87168106694496e-09
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 24 136 111.057692307692 0 0 1184.61538461538 9.0058511285966e-10
+28 0 1 0 0 24 24 140 111.057692307692 0 0 1226.92307692308 8.29627109965132e-10
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 24 76 111.057692307692 7.105427357601e-15 7.105427357601e-15 550 -3.96240378340577e-10
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+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 7.36345407229959e-10
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 9.57428419964648e-10
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kzz_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kzz_maximum.xg
new file mode 100644
index 000000000..4731cc6f8
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kzz_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kzz
+"kzz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 4.3503440297381e-09
+1.5865384615385e+01 6.2847950668498e-09
+2.3798076923077e+01 8.3667238992531e-09
+3.1730769230769e+01 5.7658485208802e-09
+3.9663461538462e+01 1.0864157275533e-08
+4.7596153846154e+01 6.1099507093957e-09
+5.5528846153846e+01 7.7777182113706e-09
+6.3461538461538e+01 6.8757158056600e-09
+7.1394230769231e+01 7.3572637571889e-09
+7.5360576923077e+01 6.8182008601895e-09
+7.9326923076923e+01 5.6588906472341e-09
+8.3293269230769e+01 7.8483145670871e-09
+8.7259615384615e+01 5.6745553380099e-09
+9.1225961538462e+01 5.8549808786147e-09
+9.5192307692308e+01 3.4858824232899e-09
+9.9158653846154e+01 6.0456650194610e-09
+1.0312500000000e+02 5.3114608236756e-09
+1.0709134615385e+02 5.3888003686180e-09
+1.1105769230769e+02 3.4064616566695e-09
+1.1502403846154e+02 3.9291942546954e-09
+1.1899038461538e+02 3.7076961423266e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kzz_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kzz_minimum.xg
new file mode 100644
index 000000000..e95d7e3b0
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kzz_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kzz
+"kzz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 -4.4232478462716e-09
+1.5865384615385e+01 -5.2501720364446e-09
+2.3798076923077e+01 -8.5505171576154e-09
+3.1730769230769e+01 -2.6429051570750e-09
+3.9663461538462e+01 -1.0288098801094e-08
+4.7596153846154e+01 -9.2103032783866e-09
+5.5528846153846e+01 -7.6636990322079e-09
+6.3461538461538e+01 -5.7721019652936e-09
+7.1394230769231e+01 -7.3963532874814e-09
+7.5360576923077e+01 -8.7727055393785e-09
+7.9326923076923e+01 -5.3966568057701e-09
+8.3293269230769e+01 -8.6252500429724e-09
+8.7259615384615e+01 -7.5683480825096e-09
+9.1225961538462e+01 -5.7705730501144e-09
+9.5192307692308e+01 -4.7379335675474e-09
+9.9158653846154e+01 -6.9885807417630e-09
+1.0312500000000e+02 -8.3261997450643e-09
+1.0709134615385e+02 -8.2807635471955e-09
+1.1105769230769e+02 -5.0871099051904e-09
+1.1502403846154e+02 -6.1549414240487e-09
+1.1899038461538e+02 -5.7345126146033e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kzz_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kzz_norm1.xg
new file mode 100644
index 000000000..0ca2a8a4e
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kzz_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kzz
+"kzz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 4.5317582387805e-10
+1.5865384615385e+01 2.0952195388284e-10
+2.3798076923077e+01 7.0438151437059e-10
+3.1730769230769e+01 6.3393391176647e-11
+3.9663461538462e+01 7.2235720849400e-10
+4.7596153846154e+01 2.8349821359972e-10
+5.5528846153846e+01 6.9923718860324e-10
+6.3461538461538e+01 8.8866504768236e-11
+7.1394230769231e+01 6.5212131263972e-10
+7.5360576923077e+01 9.8607056749458e-10
+7.9326923076923e+01 3.3593498465152e-10
+8.3293269230769e+01 1.0918627252797e-09
+8.7259615384615e+01 6.8726149992406e-10
+9.1225961538462e+01 9.5644348742232e-10
+9.5192307692308e+01 1.1082850592368e-10
+9.9158653846154e+01 1.0357408841735e-09
+1.0312500000000e+02 6.8238525000851e-10
+1.0709134615385e+02 1.1130978016142e-09
+1.1105769230769e+02 3.6980950240811e-10
+1.1502403846154e+02 1.1538325080427e-09
+1.1899038461538e+02 6.9319119527573e-10
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/kzz_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/kzz_norm2.xg
new file mode 100644
index 000000000..50ab792c6
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/kzz_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMBASE::kzz
+"kzz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 7.6959414664862e-10
+1.5865384615385e+01 5.8621324667164e-10
+2.3798076923077e+01 1.1691182801452e-09
+3.1730769230769e+01 2.1611737775281e-10
+3.9663461538462e+01 1.1307299551084e-09
+4.7596153846154e+01 5.8559932410659e-10
+5.5528846153846e+01 1.0987307195305e-09
+6.3461538461538e+01 2.4466453932286e-10
+7.1394230769231e+01 9.5478570080278e-10
+7.5360576923077e+01 1.3659652495879e-09
+7.9326923076923e+01 5.6792931602281e-10
+8.3293269230769e+01 1.4860498235968e-09
+8.7259615384615e+01 9.8399095104383e-10
+9.1225961538462e+01 1.2268945849246e-09
+9.5192307692308e+01 2.5173484275718e-10
+9.9158653846154e+01 1.3791236159156e-09
+1.0312500000000e+02 9.7685301814794e-10
+1.0709134615385e+02 1.4830442718722e-09
+1.1105769230769e+02 5.2682538656332e-10
+1.1502403846154e+02 1.4847383792606e-09
+1.1899038461538e+02 9.3749171479995e-10
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momx.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/momx.x.asc
new file mode 100644
index 000000000..cfe58626b
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momx.x.asc
@@ -0,0 +1,864 @@
+# ADMCONSTRAINTS::momx x (momx)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 -0
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 -0
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 -0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 0
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+0 0 0 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 0
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+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 0 0 0 128 24 24 0 1100 0 0 0
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 0
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 0
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 0
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 0
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 0
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 0
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 0
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 0
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 0
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 0
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 0
+0 0 0 0 0 232 24 24 0 2200 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 -0
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 -0
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 -0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 0
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 0
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 0
+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 1 0 0 52 24 24 0 296.153846153846 0 0 0
+0 0 1 0 0 56 24 24 0 338.461538461538 0 0 0
+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 0
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 0
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 1 0 0 76 24 24 0 550 0 0 0
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 1 0 0 84 24 24 0 634.615384615385 0 0 0
+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 1 0 0 92 24 24 0 719.230769230769 0 0 0
+0 0 1 0 0 96 24 24 0 761.538461538462 0 0 0
+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 0
+0 0 1 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 0
+0 0 1 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 0
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 0
+0 0 1 0 0 128 24 24 0 1100 0 0 0
+0 0 1 0 0 132 24 24 0 1142.30769230769 0 0 0
+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -0
+0 0 2 0 0 20 24 24 0 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 -0
+0 0 2 0 0 22 24 24 0 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 -0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 26 24 24 0 21.1538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 28 24 24 0 42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 30 24 24 0 63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 32 24 24 0 84.6153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 34 24 24 0 105.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 36 24 24 0 126.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 38 24 24 0 148.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 40 24 24 0 169.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 42 24 24 0 190.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 44 24 24 0 211.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 46 24 24 0 232.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 48 24 24 0 253.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 50 24 24 0 275 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 52 24 24 0 296.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 54 24 24 0 317.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 56 24 24 0 338.461538461538 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 58 24 24 0 359.615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 60 24 24 0 380.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 62 24 24 0 401.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 64 24 24 0 423.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 66 24 24 0 444.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 68 24 24 0 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 70 24 24 0 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 72 24 24 0 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 74 24 24 0 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 76 24 24 0 550 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 78 24 24 0 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 80 24 24 0 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 12 24 24 15.8653846153846 -126.923076923077 0 0 3.94089610996178e-11
+4 0 1 0 0 16 24 24 15.8653846153846 -84.6153846153846 0 0 -1.36148063293923e-10
+4 0 1 0 0 20 24 24 15.8653846153846 -42.3076923076923 0 0 3.21121019866798e-12
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 2.95475382540097e-20
+4 0 1 0 0 28 24 24 15.8653846153846 42.3076923076923 0 0 -3.21121019866798e-12
+4 0 1 0 0 32 24 24 15.8653846153846 84.6153846153846 0 0 1.36148063293923e-10
+4 0 1 0 0 36 24 24 15.8653846153846 126.923076923077 0 0 -3.94089610996178e-11
+4 0 1 0 0 40 24 24 15.8653846153846 169.230769230769 0 0 3.80482413495828e-11
+4 0 1 0 0 44 24 24 15.8653846153846 211.538461538462 0 0 1.65216088785491e-10
+4 0 1 0 0 48 24 24 15.8653846153846 253.846153846154 0 0 4.14625284221779e-12
+4 0 1 0 0 52 24 24 15.8653846153846 296.153846153846 0 0 -7.22441013584611e-11
+4 0 1 0 0 56 24 24 15.8653846153846 338.461538461538 0 0 -1.42993262508924e-10
+4 0 1 0 0 60 24 24 15.8653846153846 380.769230769231 0 0 -1.13066038414288e-11
+4 0 1 0 0 64 24 24 15.8653846153846 423.076923076923 0 0 6.02910602110092e-11
+4 0 1 0 0 68 24 24 15.8653846153846 465.384615384615 0 0 -4.89396939052788e-11
+4 0 1 0 0 72 24 24 15.8653846153846 507.692307692308 0 0 -3.18403829505457e-12
+4 0 1 0 0 76 24 24 15.8653846153846 550 0 0 5.37086540317471e-12
+4 0 1 0 0 80 24 24 15.8653846153846 592.307692307692 0 0 1.68582533007205e-11
+4 0 1 0 0 84 24 24 15.8653846153846 634.615384615385 0 0 -1.24091673829726e-12
+4 0 1 0 0 88 24 24 15.8653846153846 676.923076923077 0 0 -8.13620698277263e-12
+4 0 1 0 0 92 24 24 15.8653846153846 719.230769230769 0 0 -7.54763596236248e-13
+4 0 1 0 0 96 24 24 15.8653846153846 761.538461538462 0 0 3.32240198608951e-12
+4 0 1 0 0 100 24 24 15.8653846153846 803.846153846154 0 0 5.51138369923129e-12
+4 0 1 0 0 104 24 24 15.8653846153846 846.153846153846 0 0 -8.08661525592732e-12
+4 0 1 0 0 108 24 24 15.8653846153846 888.461538461538 0 0 -4.64607473991294e-12
+4 0 1 0 0 112 24 24 15.8653846153846 930.769230769231 0 0 -1.00166165610009e-13
+4 0 1 0 0 116 24 24 15.8653846153846 973.076923076923 0 0 1.33588395379524e-12
+4 0 1 0 0 120 24 24 15.8653846153846 1015.38461538462 0 0 8.56051114077029e-13
+4 0 1 0 0 124 24 24 15.8653846153846 1057.69230769231 0 0 1.15921973165111e-13
+4 0 1 0 0 128 24 24 15.8653846153846 1100 0 0 5.13580438733825e-13
+4 0 1 0 0 132 24 24 15.8653846153846 1142.30769230769 0 0 9.95848710970752e-13
+4 0 1 0 0 136 24 24 15.8653846153846 1184.61538461538 0 0 7.39290617923795e-13
+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 18 24 24 15.8653846153846 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -8.49478559826362e-11
+4 0 2 0 0 20 24 24 15.8653846153846 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 2.7387334465838e-10
+4 0 2 0 0 22 24 24 15.8653846153846 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 -5.31888332515683e-11
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+4 0 2 0 0 28 24 24 15.8653846153846 42.3076923076923 7.105427357601e-15 7.105427357601e-15 -2.7387334465838e-10
+4 0 2 0 0 30 24 24 15.8653846153846 63.4615384615385 7.105427357601e-15 7.105427357601e-15 8.49478559826362e-11
+4 0 2 0 0 32 24 24 15.8653846153846 84.6153846153846 7.105427357601e-15 7.105427357601e-15 1.44969353158293e-10
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+4 0 2 0 0 36 24 24 15.8653846153846 126.923076923077 7.105427357601e-15 7.105427357601e-15 7.73463601887562e-11
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+4 0 2 0 0 40 24 24 15.8653846153846 169.230769230769 7.105427357601e-15 7.105427357601e-15 -1.16198841065525e-10
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+4 0 2 0 0 44 24 24 15.8653846153846 211.538461538462 7.105427357601e-15 7.105427357601e-15 -2.53701702180135e-10
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+4 0 2 0 0 48 24 24 15.8653846153846 253.846153846154 7.105427357601e-15 7.105427357601e-15 3.0152801717006e-11
+4 0 2 0 0 50 24 24 15.8653846153846 275 7.105427357601e-15 7.105427357601e-15 -1.16377870956632e-11
+4 0 2 0 0 52 24 24 15.8653846153846 296.153846153846 7.105427357601e-15 7.105427357601e-15 2.39537320434988e-11
+4 0 2 0 0 54 24 24 15.8653846153846 317.307692307692 7.105427357601e-15 7.105427357601e-15 -1.60819974772791e-10
+4 0 2 0 0 56 24 24 15.8653846153846 338.461538461538 7.105427357601e-15 7.105427357601e-15 3.12203827866338e-10
+4 0 2 0 0 58 24 24 15.8653846153846 359.615384615385 7.105427357601e-15 7.105427357601e-15 -2.13937280438056e-10
+4 0 2 0 0 60 24 24 15.8653846153846 380.769230769231 7.105427357601e-15 7.105427357601e-15 -1.25462400535645e-10
+4 0 2 0 0 62 24 24 15.8653846153846 401.923076923077 7.105427357601e-15 7.105427357601e-15 2.08018967800725e-10
+4 0 2 0 0 64 24 24 15.8653846153846 423.076923076923 7.105427357601e-15 7.105427357601e-15 9.22294733159109e-11
+4 0 2 0 0 66 24 24 15.8653846153846 444.230769230769 7.105427357601e-15 7.105427357601e-15 -8.52266115826508e-11
+4 0 2 0 0 68 24 24 15.8653846153846 465.384615384615 7.105427357601e-15 7.105427357601e-15 -6.77373857454985e-11
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+4 0 2 0 0 72 24 24 15.8653846153846 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.14212678356391e-12
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 82 24 24 31.7307692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 0
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 82 24 24 47.5961538461538 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 0
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 82 24 24 63.4615384615385 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 0
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 43 24 24 95.1923076923077 200.961538461539 7.105427357601e-15 7.105427357601e-15 2.71943928185411e-10
+24 0 3 0 0 44 24 24 95.1923076923077 211.538461538462 7.105427357601e-15 7.105427357601e-15 1.3772600996691e-10
+24 0 3 0 0 45 24 24 95.1923076923077 222.115384615385 7.105427357601e-15 7.105427357601e-15 1.4681072806057e-10
+24 0 3 0 0 46 24 24 95.1923076923077 232.692307692308 7.105427357601e-15 7.105427357601e-15 -1.96315582868992e-10
+24 0 3 0 0 47 24 24 95.1923076923077 243.269230769231 7.105427357601e-15 7.105427357601e-15 -3.59665930898882e-10
+24 0 3 0 0 48 24 24 95.1923076923077 253.846153846154 7.105427357601e-15 7.105427357601e-15 1.34749573253607e-10
+24 0 3 0 0 49 24 24 95.1923076923077 264.423076923077 7.105427357601e-15 7.105427357601e-15 5.28530246607938e-10
+24 0 3 0 0 50 24 24 95.1923076923077 275 7.105427357601e-15 7.105427357601e-15 3.28037399455846e-11
+24 0 3 0 0 51 24 24 95.1923076923077 285.576923076923 7.105427357601e-15 7.105427357601e-15 -4.95504622206274e-10
+24 0 3 0 0 52 24 24 95.1923076923077 296.153846153846 7.105427357601e-15 7.105427357601e-15 -2.42017607808834e-10
+24 0 3 0 0 53 24 24 95.1923076923077 306.730769230769 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 1 0 0 12 24 24 111.057692307692 -126.923076923077 0 0 4.29936851089009e-11
+28 0 1 0 0 16 24 24 111.057692307692 -84.6153846153846 0 0 6.15741625909297e-11
+28 0 1 0 0 20 24 24 111.057692307692 -42.3076923076923 0 0 5.73085762817272e-11
+28 0 1 0 0 24 24 24 111.057692307692 0 0 0 -4.94978767786098e-20
+28 0 1 0 0 28 24 24 111.057692307692 42.3076923076923 0 0 -5.73085762817272e-11
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+28 0 1 0 0 36 24 24 111.057692307692 126.923076923077 0 0 -4.29936851089009e-11
+28 0 1 0 0 40 24 24 111.057692307692 169.230769230769 0 0 1.44382332960406e-11
+28 0 1 0 0 44 24 24 111.057692307692 211.538461538462 0 0 6.39514674266706e-11
+28 0 1 0 0 48 24 24 111.057692307692 253.846153846154 0 0 -3.81070569058759e-11
+28 0 1 0 0 52 24 24 111.057692307692 296.153846153846 0 0 1.37273394663105e-11
+28 0 1 0 0 56 24 24 111.057692307692 338.461538461538 0 0 -4.40314586538824e-12
+28 0 1 0 0 60 24 24 111.057692307692 380.769230769231 0 0 3.95006888262349e-11
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+28 0 1 0 0 76 24 24 111.057692307692 550 0 0 -5.62941013308675e-13
+28 0 1 0 0 80 24 24 111.057692307692 592.307692307692 0 0 4.40430309525668e-12
+28 0 1 0 0 84 24 24 111.057692307692 634.615384615385 0 0 -1.35492630139005e-11
+28 0 1 0 0 88 24 24 111.057692307692 676.923076923077 0 0 1.19315903989804e-11
+28 0 1 0 0 92 24 24 111.057692307692 719.230769230769 0 0 3.73639581380984e-12
+28 0 1 0 0 96 24 24 111.057692307692 761.538461538462 0 0 -1.5234852631255e-11
+28 0 1 0 0 100 24 24 111.057692307692 803.846153846154 0 0 8.87243989797056e-12
+28 0 1 0 0 104 24 24 111.057692307692 846.153846153846 0 0 -1.31932721126604e-11
+28 0 1 0 0 108 24 24 111.057692307692 888.461538461538 0 0 -2.06933562234635e-11
+28 0 1 0 0 112 24 24 111.057692307692 930.769230769231 0 0 -1.05094744443855e-11
+28 0 1 0 0 116 24 24 111.057692307692 973.076923076923 0 0 -5.69846141993989e-13
+28 0 1 0 0 120 24 24 111.057692307692 1015.38461538462 0 0 3.57142630587353e-12
+28 0 1 0 0 124 24 24 111.057692307692 1057.69230769231 0 0 5.33012460610718e-12
+28 0 1 0 0 128 24 24 111.057692307692 1100 0 0 4.99139543603344e-12
+28 0 1 0 0 132 24 24 111.057692307692 1142.30769230769 0 0 3.74634848646173e-12
+28 0 1 0 0 136 24 24 111.057692307692 1184.61538461538 0 0 3.46807114651446e-12
+28 0 1 0 0 140 24 24 111.057692307692 1226.92307692308 0 0 0
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 18 24 24 111.057692307692 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.65517324817537e-10
+28 0 2 0 0 20 24 24 111.057692307692 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 -2.08109326247058e-11
+28 0 2 0 0 22 24 24 111.057692307692 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 5.07856495874826e-11
+28 0 2 0 0 24 24 24 111.057692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.64538120851598e-19
+28 0 2 0 0 26 24 24 111.057692307692 21.1538461538462 7.105427357601e-15 7.105427357601e-15 -5.07856495874826e-11
+28 0 2 0 0 28 24 24 111.057692307692 42.3076923076923 7.105427357601e-15 7.105427357601e-15 2.08109326247058e-11
+28 0 2 0 0 30 24 24 111.057692307692 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -1.65517324817537e-10
+28 0 2 0 0 32 24 24 111.057692307692 84.6153846153846 7.105427357601e-15 7.105427357601e-15 1.77550757757812e-10
+28 0 2 0 0 34 24 24 111.057692307692 105.769230769231 7.105427357601e-15 7.105427357601e-15 9.81123945861057e-11
+28 0 2 0 0 36 24 24 111.057692307692 126.923076923077 7.105427357601e-15 7.105427357601e-15 -3.05024405967863e-11
+28 0 2 0 0 38 24 24 111.057692307692 148.076923076923 7.105427357601e-15 7.105427357601e-15 -4.84764000230787e-11
+28 0 2 0 0 40 24 24 111.057692307692 169.230769230769 7.105427357601e-15 7.105427357601e-15 3.04828923614079e-12
+28 0 2 0 0 42 24 24 111.057692307692 190.384615384615 7.105427357601e-15 7.105427357601e-15 -6.20050253234817e-11
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+28 0 2 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 -8.52500778328716e-11
+28 0 2 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.95644640459512e-10
+28 0 2 0 0 54 24 24 111.057692307692 317.307692307692 7.105427357601e-15 7.105427357601e-15 1.77867443437989e-11
+28 0 2 0 0 56 24 24 111.057692307692 338.461538461538 7.105427357601e-15 7.105427357601e-15 -1.91138670457645e-10
+28 0 2 0 0 58 24 24 111.057692307692 359.615384615385 7.105427357601e-15 7.105427357601e-15 1.57545209398308e-11
+28 0 2 0 0 60 24 24 111.057692307692 380.769230769231 7.105427357601e-15 7.105427357601e-15 5.49069657863999e-11
+28 0 2 0 0 62 24 24 111.057692307692 401.923076923077 7.105427357601e-15 7.105427357601e-15 5.2105916204229e-11
+28 0 2 0 0 64 24 24 111.057692307692 423.076923076923 7.105427357601e-15 7.105427357601e-15 2.21713404217249e-11
+28 0 2 0 0 66 24 24 111.057692307692 444.230769230769 7.105427357601e-15 7.105427357601e-15 -2.34068669495562e-11
+28 0 2 0 0 68 24 24 111.057692307692 465.384615384615 7.105427357601e-15 7.105427357601e-15 -1.66571518728069e-11
+28 0 2 0 0 70 24 24 111.057692307692 486.538461538462 7.105427357601e-15 7.105427357601e-15 -5.03885459001474e-12
+28 0 2 0 0 72 24 24 111.057692307692 507.692307692308 7.105427357601e-15 7.105427357601e-15 -4.70731162176277e-12
+28 0 2 0 0 74 24 24 111.057692307692 528.846153846154 7.105427357601e-15 7.105427357601e-15 -6.3328146164489e-12
+28 0 2 0 0 76 24 24 111.057692307692 550 7.105427357601e-15 7.105427357601e-15 -1.62458418154888e-13
+28 0 2 0 0 78 24 24 111.057692307692 571.153846153846 7.105427357601e-15 7.105427357601e-15 5.69479627794487e-12
+28 0 2 0 0 80 24 24 111.057692307692 592.307692307692 7.105427357601e-15 7.105427357601e-15 6.53320463893725e-12
+28 0 2 0 0 82 24 24 111.057692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 21 24 24 111.057692307692 -31.7307692307692 7.105427357601e-15 7.105427357601e-15 -3.46948958505209e-10
+28 0 3 0 0 22 24 24 111.057692307692 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.99570449660128e-10
+28 0 3 0 0 23 24 24 111.057692307692 -10.5769230769231 7.105427357601e-15 7.105427357601e-15 4.60254901673544e-10
+28 0 3 0 0 24 24 24 111.057692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 3.53126863196511e-19
+28 0 3 0 0 25 24 24 111.057692307692 10.5769230769231 7.105427357601e-15 7.105427357601e-15 -4.60254901673544e-10
+28 0 3 0 0 26 24 24 111.057692307692 21.1538461538462 7.105427357601e-15 7.105427357601e-15 -1.99570449660128e-10
+28 0 3 0 0 27 24 24 111.057692307692 31.7307692307692 7.105427357601e-15 7.105427357601e-15 3.46948958505209e-10
+28 0 3 0 0 28 24 24 111.057692307692 42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.80822145226131e-10
+28 0 3 0 0 29 24 24 111.057692307692 52.8846153846154 7.105427357601e-15 7.105427357601e-15 -3.30397258501592e-10
+28 0 3 0 0 30 24 24 111.057692307692 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -2.97790016666708e-10
+28 0 3 0 0 31 24 24 111.057692307692 74.0384615384616 7.105427357601e-15 7.105427357601e-15 -4.93512126974467e-11
+28 0 3 0 0 32 24 24 111.057692307692 84.6153846153846 7.105427357601e-15 7.105427357601e-15 1.13521249730905e-10
+28 0 3 0 0 33 24 24 111.057692307692 95.1923076923077 7.105427357601e-15 7.105427357601e-15 2.24606742661083e-10
+28 0 3 0 0 34 24 24 111.057692307692 105.769230769231 7.105427357601e-15 7.105427357601e-15 1.08954955986132e-10
+28 0 3 0 0 35 24 24 111.057692307692 116.346153846154 7.105427357601e-15 7.105427357601e-15 -2.00855106248328e-11
+28 0 3 0 0 36 24 24 111.057692307692 126.923076923077 7.105427357601e-15 7.105427357601e-15 6.33333511531644e-11
+28 0 3 0 0 37 24 24 111.057692307692 137.5 7.105427357601e-15 7.105427357601e-15 1.93287933489548e-10
+28 0 3 0 0 38 24 24 111.057692307692 148.076923076923 7.105427357601e-15 7.105427357601e-15 7.94462379417042e-11
+28 0 3 0 0 39 24 24 111.057692307692 158.653846153846 7.105427357601e-15 7.105427357601e-15 -2.40221462535873e-10
+28 0 3 0 0 40 24 24 111.057692307692 169.230769230769 7.105427357601e-15 7.105427357601e-15 -1.02692057342296e-10
+28 0 3 0 0 41 24 24 111.057692307692 179.807692307692 7.105427357601e-15 7.105427357601e-15 1.80982668191916e-10
+28 0 3 0 0 42 24 24 111.057692307692 190.384615384615 7.105427357601e-15 7.105427357601e-15 -1.28127880562978e-10
+28 0 3 0 0 43 24 24 111.057692307692 200.961538461539 7.105427357601e-15 7.105427357601e-15 -2.82745828196329e-10
+28 0 3 0 0 44 24 24 111.057692307692 211.538461538462 7.105427357601e-15 7.105427357601e-15 5.28784831745946e-11
+28 0 3 0 0 45 24 24 111.057692307692 222.115384615385 7.105427357601e-15 7.105427357601e-15 6.76828529512488e-11
+28 0 3 0 0 46 24 24 111.057692307692 232.692307692308 7.105427357601e-15 7.105427357601e-15 1.06745629609559e-10
+28 0 3 0 0 47 24 24 111.057692307692 243.269230769231 7.105427357601e-15 7.105427357601e-15 2.50267813250535e-11
+28 0 3 0 0 48 24 24 111.057692307692 253.846153846154 7.105427357601e-15 7.105427357601e-15 -7.02688179188961e-11
+28 0 3 0 0 49 24 24 111.057692307692 264.423076923077 7.105427357601e-15 7.105427357601e-15 -1.04017390189449e-10
+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 -1.15491180651816e-10
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 -3.22999267336864e-11
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 2.4116369484973e-10
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momx.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/momx.y.asc
new file mode 100644
index 000000000..cba94cc86
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momx.y.asc
@@ -0,0 +1,864 @@
+# ADMCONSTRAINTS::momx y (momx)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 0
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 0
+0 0 0 0 0 24 16 24 0 0 -84.6153846153846 0 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 24 32 24 0 0 84.6153846153846 0 0
+0 0 0 0 0 24 40 24 0 0 169.230769230769 0 0
+0 0 0 0 0 24 48 24 0 0 253.846153846154 0 0
+0 0 0 0 0 24 56 24 0 0 338.461538461539 0 0
+0 0 0 0 0 24 64 24 0 0 423.076923076923 0 0
+0 0 0 0 0 24 72 24 0 0 507.692307692308 0 0
+0 0 0 0 0 24 80 24 0 0 592.307692307692 0 0
+0 0 0 0 0 24 88 24 0 0 676.923076923077 0 0
+0 0 0 0 0 24 96 24 0 0 761.538461538462 0 0
+0 0 0 0 0 24 104 24 0 0 846.153846153846 0 0
+0 0 0 0 0 24 112 24 0 0 930.769230769231 0 0
+0 0 0 0 0 24 120 24 0 0 1015.38461538462 0 0
+0 0 0 0 0 24 128 24 0 0 1100 0 0
+0 0 0 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 0 0 0 24 144 24 0 0 1269.23076923077 0 0
+0 0 0 0 0 24 152 24 0 0 1353.84615384615 0 0
+0 0 0 0 0 24 160 24 0 0 1438.46153846154 0 0
+0 0 0 0 0 24 168 24 0 0 1523.07692307692 0 0
+0 0 0 0 0 24 176 24 0 0 1607.69230769231 0 0
+0 0 0 0 0 24 184 24 0 0 1692.30769230769 0 0
+0 0 0 0 0 24 192 24 0 0 1776.92307692308 0 0
+0 0 0 0 0 24 200 24 0 0 1861.53846153846 0 0
+0 0 0 0 0 24 208 24 0 0 1946.15384615385 0 0
+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 0
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 0
+0 0 0 0 0 24 232 24 0 0 2200 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 0
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 0
+0 0 1 0 0 24 20 24 0 0 -42.3076923076923 0 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 24 28 24 0 0 42.3076923076923 0 0
+0 0 1 0 0 24 32 24 0 0 84.6153846153846 0 0
+0 0 1 0 0 24 36 24 0 0 126.923076923077 0 0
+0 0 1 0 0 24 40 24 0 0 169.230769230769 0 0
+0 0 1 0 0 24 44 24 0 0 211.538461538462 0 0
+0 0 1 0 0 24 48 24 0 0 253.846153846154 0 0
+0 0 1 0 0 24 52 24 0 0 296.153846153846 0 0
+0 0 1 0 0 24 56 24 0 0 338.461538461538 0 0
+0 0 1 0 0 24 60 24 0 0 380.769230769231 0 0
+0 0 1 0 0 24 64 24 0 0 423.076923076923 0 0
+0 0 1 0 0 24 68 24 0 0 465.384615384615 0 0
+0 0 1 0 0 24 72 24 0 0 507.692307692308 0 0
+0 0 1 0 0 24 76 24 0 0 550 0 0
+0 0 1 0 0 24 80 24 0 0 592.307692307692 0 0
+0 0 1 0 0 24 84 24 0 0 634.615384615385 0 0
+0 0 1 0 0 24 88 24 0 0 676.923076923077 0 0
+0 0 1 0 0 24 92 24 0 0 719.230769230769 0 0
+0 0 1 0 0 24 96 24 0 0 761.538461538462 0 0
+0 0 1 0 0 24 100 24 0 0 803.846153846154 0 0
+0 0 1 0 0 24 104 24 0 0 846.153846153846 0 0
+0 0 1 0 0 24 108 24 0 0 888.461538461538 0 0
+0 0 1 0 0 24 112 24 0 0 930.769230769231 0 0
+0 0 1 0 0 24 116 24 0 0 973.076923076923 0 0
+0 0 1 0 0 24 120 24 0 0 1015.38461538462 0 0
+0 0 1 0 0 24 124 24 0 0 1057.69230769231 0 0
+0 0 1 0 0 24 128 24 0 0 1100 0 0
+0 0 1 0 0 24 132 24 0 0 1142.30769230769 0 0
+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 18 24 0 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0
+0 0 2 0 0 24 20 24 0 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 0
+0 0 2 0 0 24 22 24 0 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 24 26 24 0 7.105427357601e-15 21.1538461538462 7.105427357601e-15 0
+0 0 2 0 0 24 28 24 0 7.105427357601e-15 42.3076923076923 7.105427357601e-15 0
+0 0 2 0 0 24 30 24 0 7.105427357601e-15 63.4615384615385 7.105427357601e-15 0
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 82 24 31.7307692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 82 24 47.5961538461538 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 0
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 24 82 24 63.4615384615385 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 25 24 111.057692307692 7.105427357601e-15 10.5769230769231 7.105427357601e-15 2.08299473340976e-19
+28 0 3 0 0 24 26 24 111.057692307692 7.105427357601e-15 21.1538461538462 7.105427357601e-15 -2.94413239171764e-19
+28 0 3 0 0 24 27 24 111.057692307692 7.105427357601e-15 31.7307692307692 7.105427357601e-15 -2.98140815945179e-19
+28 0 3 0 0 24 28 24 111.057692307692 7.105427357601e-15 42.3076923076923 7.105427357601e-15 -1.70668239329603e-20
+28 0 3 0 0 24 29 24 111.057692307692 7.105427357601e-15 52.8846153846154 7.105427357601e-15 1.08173528946048e-19
+28 0 3 0 0 24 30 24 111.057692307692 7.105427357601e-15 63.4615384615385 7.105427357601e-15 1.23367979483656e-19
+28 0 3 0 0 24 31 24 111.057692307692 7.105427357601e-15 74.0384615384616 7.105427357601e-15 6.17144137536081e-20
+28 0 3 0 0 24 32 24 111.057692307692 7.105427357601e-15 84.6153846153846 7.105427357601e-15 2.87867554793232e-20
+28 0 3 0 0 24 33 24 111.057692307692 7.105427357601e-15 95.1923076923077 7.105427357601e-15 -2.89630197335133e-20
+28 0 3 0 0 24 34 24 111.057692307692 7.105427357601e-15 105.769230769231 7.105427357601e-15 -3.41760497680158e-20
+28 0 3 0 0 24 35 24 111.057692307692 7.105427357601e-15 116.346153846154 7.105427357601e-15 3.58751762384046e-21
+28 0 3 0 0 24 36 24 111.057692307692 7.105427357601e-15 126.923076923077 7.105427357601e-15 -1.04588949448118e-20
+28 0 3 0 0 24 37 24 111.057692307692 7.105427357601e-15 137.5 7.105427357601e-15 -4.70584882719336e-20
+28 0 3 0 0 24 38 24 111.057692307692 7.105427357601e-15 148.076923076923 7.105427357601e-15 -5.94682817932239e-20
+28 0 3 0 0 24 39 24 111.057692307692 7.105427357601e-15 158.653846153846 7.105427357601e-15 -2.58232625023046e-20
+28 0 3 0 0 24 40 24 111.057692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 2.16052277937225e-20
+28 0 3 0 0 24 41 24 111.057692307692 7.105427357601e-15 179.807692307692 7.105427357601e-15 3.45522445212482e-20
+28 0 3 0 0 24 42 24 111.057692307692 7.105427357601e-15 190.384615384615 7.105427357601e-15 9.87242824966066e-20
+28 0 3 0 0 24 43 24 111.057692307692 7.105427357601e-15 200.961538461539 7.105427357601e-15 7.70969167755604e-20
+28 0 3 0 0 24 44 24 111.057692307692 7.105427357601e-15 211.538461538462 7.105427357601e-15 6.61025543122464e-20
+28 0 3 0 0 24 45 24 111.057692307692 7.105427357601e-15 222.115384615385 7.105427357601e-15 1.24226047441591e-20
+28 0 3 0 0 24 46 24 111.057692307692 7.105427357601e-15 232.692307692308 7.105427357601e-15 3.46048231893707e-20
+28 0 3 0 0 24 47 24 111.057692307692 7.105427357601e-15 243.269230769231 7.105427357601e-15 1.13241216878262e-19
+28 0 3 0 0 24 48 24 111.057692307692 7.105427357601e-15 253.846153846154 7.105427357601e-15 4.05596717093597e-19
+28 0 3 0 0 24 49 24 111.057692307692 7.105427357601e-15 264.423076923077 7.105427357601e-15 5.4216768378514e-19
+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 9.31072342506934e-19
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 -6.41769629961497e-19
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 -6.59994992123927e-18
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momx.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/momx.z.asc
new file mode 100644
index 000000000..be5dd6f7e
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momx.z.asc
@@ -0,0 +1,864 @@
+# ADMCONSTRAINTS::momx z (momx)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 0
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 0
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 0 0 0 24 24 48 0 0 0 253.846153846154 0
+0 0 0 0 0 24 24 56 0 0 0 338.461538461539 0
+0 0 0 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 0 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 0 0 0 24 24 80 0 0 0 592.307692307692 0
+0 0 0 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 0 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 0 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 0 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 0 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 0 0 0 24 24 128 0 0 0 1100 0
+0 0 0 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 0
+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 0
+0 0 0 0 0 24 24 160 0 0 0 1438.46153846154 0
+0 0 0 0 0 24 24 168 0 0 0 1523.07692307692 0
+0 0 0 0 0 24 24 176 0 0 0 1607.69230769231 0
+0 0 0 0 0 24 24 184 0 0 0 1692.30769230769 0
+0 0 0 0 0 24 24 192 0 0 0 1776.92307692308 0
+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 0
+0 0 0 0 0 24 24 208 0 0 0 1946.15384615385 0
+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 0
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 0
+0 0 0 0 0 24 24 232 0 0 0 2200 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 0
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 24 24 28 0 0 0 42.3076923076923 0
+0 0 1 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 1 0 0 24 24 36 0 0 0 126.923076923077 0
+0 0 1 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 1 0 0 24 24 44 0 0 0 211.538461538462 0
+0 0 1 0 0 24 24 48 0 0 0 253.846153846154 0
+0 0 1 0 0 24 24 52 0 0 0 296.153846153846 0
+0 0 1 0 0 24 24 56 0 0 0 338.461538461538 0
+0 0 1 0 0 24 24 60 0 0 0 380.769230769231 0
+0 0 1 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 1 0 0 24 24 68 0 0 0 465.384615384615 0
+0 0 1 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 1 0 0 24 24 76 0 0 0 550 0
+0 0 1 0 0 24 24 80 0 0 0 592.307692307692 0
+0 0 1 0 0 24 24 84 0 0 0 634.615384615385 0
+0 0 1 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 1 0 0 24 24 92 0 0 0 719.230769230769 0
+0 0 1 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 1 0 0 24 24 100 0 0 0 803.846153846154 0
+0 0 1 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 1 0 0 24 24 108 0 0 0 888.461538461538 0
+0 0 1 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 1 0 0 24 24 116 0 0 0 973.076923076923 0
+0 0 1 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 1 0 0 24 24 124 0 0 0 1057.69230769231 0
+0 0 1 0 0 24 24 128 0 0 0 1100 0
+0 0 1 0 0 24 24 132 0 0 0 1142.30769230769 0
+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
+0 0 2 0 0 24 24 20 0 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 0
+0 0 2 0 0 24 24 22 0 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 24 24 26 0 7.105427357601e-15 7.105427357601e-15 21.1538461538462 0
+0 0 2 0 0 24 24 28 0 7.105427357601e-15 7.105427357601e-15 42.3076923076923 0
+0 0 2 0 0 24 24 30 0 7.105427357601e-15 7.105427357601e-15 63.4615384615385 0
+0 0 2 0 0 24 24 32 0 7.105427357601e-15 7.105427357601e-15 84.6153846153846 0
+0 0 2 0 0 24 24 34 0 7.105427357601e-15 7.105427357601e-15 105.769230769231 0
+0 0 2 0 0 24 24 36 0 7.105427357601e-15 7.105427357601e-15 126.923076923077 0
+0 0 2 0 0 24 24 38 0 7.105427357601e-15 7.105427357601e-15 148.076923076923 0
+0 0 2 0 0 24 24 40 0 7.105427357601e-15 7.105427357601e-15 169.230769230769 0
+0 0 2 0 0 24 24 42 0 7.105427357601e-15 7.105427357601e-15 190.384615384615 0
+0 0 2 0 0 24 24 44 0 7.105427357601e-15 7.105427357601e-15 211.538461538462 0
+0 0 2 0 0 24 24 46 0 7.105427357601e-15 7.105427357601e-15 232.692307692308 0
+0 0 2 0 0 24 24 48 0 7.105427357601e-15 7.105427357601e-15 253.846153846154 0
+0 0 2 0 0 24 24 50 0 7.105427357601e-15 7.105427357601e-15 275 0
+0 0 2 0 0 24 24 52 0 7.105427357601e-15 7.105427357601e-15 296.153846153846 0
+0 0 2 0 0 24 24 54 0 7.105427357601e-15 7.105427357601e-15 317.307692307692 0
+0 0 2 0 0 24 24 56 0 7.105427357601e-15 7.105427357601e-15 338.461538461538 0
+0 0 2 0 0 24 24 58 0 7.105427357601e-15 7.105427357601e-15 359.615384615385 0
+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 0
+0 0 2 0 0 24 24 62 0 7.105427357601e-15 7.105427357601e-15 401.923076923077 0
+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 0
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 0
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 0
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 0
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 0
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 0
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 2.74285749386919e-20
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 -1.91825325617024e-20
+4 0 1 0 0 24 24 20 15.8653846153846 0 0 -42.3076923076923 -1.6876733314794e-20
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 2.95475382540097e-20
+4 0 1 0 0 24 24 28 15.8653846153846 0 0 42.3076923076923 -1.6876733314794e-20
+4 0 1 0 0 24 24 32 15.8653846153846 0 0 84.6153846153846 -1.91825325617024e-20
+4 0 1 0 0 24 24 36 15.8653846153846 0 0 126.923076923077 2.74285749386919e-20
+4 0 1 0 0 24 24 40 15.8653846153846 0 0 169.230769230769 4.46192993251801e-21
+4 0 1 0 0 24 24 44 15.8653846153846 0 0 211.538461538462 1.82147353075781e-21
+4 0 1 0 0 24 24 48 15.8653846153846 0 0 253.846153846154 -1.17064022342181e-20
+4 0 1 0 0 24 24 52 15.8653846153846 0 0 296.153846153846 5.41208971840787e-21
+4 0 1 0 0 24 24 56 15.8653846153846 0 0 338.461538461538 -1.01835710787428e-21
+4 0 1 0 0 24 24 60 15.8653846153846 0 0 380.769230769231 3.89101200133048e-16
+4 0 1 0 0 24 24 64 15.8653846153846 0 0 423.076923076923 -4.16256287465585e-18
+4 0 1 0 0 24 24 68 15.8653846153846 0 0 465.384615384615 -3.89627888427255e-16
+4 0 1 0 0 24 24 72 15.8653846153846 0 0 507.692307692308 2.2121193834018e-22
+4 0 1 0 0 24 24 76 15.8653846153846 0 0 550 -7.60446122137644e-31
+4 0 1 0 0 24 24 80 15.8653846153846 0 0 592.307692307692 1.65555219087367e-31
+4 0 1 0 0 24 24 84 15.8653846153846 0 0 634.615384615385 0
+4 0 1 0 0 24 24 88 15.8653846153846 0 0 676.923076923077 0
+4 0 1 0 0 24 24 92 15.8653846153846 0 0 719.230769230769 0
+4 0 1 0 0 24 24 96 15.8653846153846 0 0 761.538461538462 9.82133595678565e-23
+4 0 1 0 0 24 24 100 15.8653846153846 0 0 803.846153846154 -1.14346959516121e-21
+4 0 1 0 0 24 24 104 15.8653846153846 0 0 846.153846153846 -1.51602204939189e-17
+4 0 1 0 0 24 24 108 15.8653846153846 0 0 888.461538461538 -1.23462253172028e-21
+4 0 1 0 0 24 24 112 15.8653846153846 0 0 930.769230769231 1.68602723869267e-17
+4 0 1 0 0 24 24 116 15.8653846153846 0 0 973.076923076923 4.5673302255161e-24
+4 0 1 0 0 24 24 120 15.8653846153846 0 0 1015.38461538462 -1.68925091023146e-18
+4 0 1 0 0 24 24 124 15.8653846153846 0 0 1057.69230769231 7.79608163025476e-25
+4 0 1 0 0 24 24 128 15.8653846153846 0 0 1100 1.04410259868906e-24
+4 0 1 0 0 24 24 132 15.8653846153846 0 0 1142.30769230769 -1.54654635326402e-24
+4 0 1 0 0 24 24 136 15.8653846153846 0 0 1184.61538461538 -1.10760703427975e-24
+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 24 18 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 -4.48231428235883e-20
+4 0 2 0 0 24 24 20 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 2.67058063765666e-20
+4 0 2 0 0 24 24 22 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.11471439819204e-19
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 7.49407415702706e-21
+4 0 2 0 0 24 24 26 15.8653846153846 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.11471439819204e-19
+4 0 2 0 0 24 24 28 15.8653846153846 7.105427357601e-15 7.105427357601e-15 42.3076923076923 2.67058063765666e-20
+4 0 2 0 0 24 24 30 15.8653846153846 7.105427357601e-15 7.105427357601e-15 63.4615384615385 -4.48231428235883e-20
+4 0 2 0 0 24 24 32 15.8653846153846 7.105427357601e-15 7.105427357601e-15 84.6153846153846 -3.12389847197974e-20
+4 0 2 0 0 24 24 34 15.8653846153846 7.105427357601e-15 7.105427357601e-15 105.769230769231 3.49366065245217e-20
+4 0 2 0 0 24 24 36 15.8653846153846 7.105427357601e-15 7.105427357601e-15 126.923076923077 -2.20465945830092e-20
+4 0 2 0 0 24 24 38 15.8653846153846 7.105427357601e-15 7.105427357601e-15 148.076923076923 -6.48647694448706e-21
+4 0 2 0 0 24 24 40 15.8653846153846 7.105427357601e-15 7.105427357601e-15 169.230769230769 -1.45035969796479e-20
+4 0 2 0 0 24 24 42 15.8653846153846 7.105427357601e-15 7.105427357601e-15 190.384615384615 -1.00966131096231e-19
+4 0 2 0 0 24 24 44 15.8653846153846 7.105427357601e-15 7.105427357601e-15 211.538461538462 2.12002734470137e-20
+4 0 2 0 0 24 24 46 15.8653846153846 7.105427357601e-15 7.105427357601e-15 232.692307692308 4.19443962393365e-20
+4 0 2 0 0 24 24 48 15.8653846153846 7.105427357601e-15 7.105427357601e-15 253.846153846154 -2.96505420593125e-20
+4 0 2 0 0 24 24 50 15.8653846153846 7.105427357601e-15 7.105427357601e-15 275 -3.51586371597947e-20
+4 0 2 0 0 24 24 52 15.8653846153846 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.00472989541329e-20
+4 0 2 0 0 24 24 54 15.8653846153846 7.105427357601e-15 7.105427357601e-15 317.307692307692 -8.71733660361074e-21
+4 0 2 0 0 24 24 56 15.8653846153846 7.105427357601e-15 7.105427357601e-15 338.461538461538 4.42006407281224e-20
+4 0 2 0 0 24 24 58 15.8653846153846 7.105427357601e-15 7.105427357601e-15 359.615384615385 8.43943924494046e-20
+4 0 2 0 0 24 24 60 15.8653846153846 7.105427357601e-15 7.105427357601e-15 380.769230769231 3.12892603402372e-17
+4 0 2 0 0 24 24 62 15.8653846153846 7.105427357601e-15 7.105427357601e-15 401.923076923077 7.78552535818114e-16
+4 0 2 0 0 24 24 64 15.8653846153846 7.105427357601e-15 7.105427357601e-15 423.076923076923 3.73568446792753e-16
+4 0 2 0 0 24 24 66 15.8653846153846 7.105427357601e-15 7.105427357601e-15 444.230769230769 -7.82516500107944e-16
+4 0 2 0 0 24 24 68 15.8653846153846 7.105427357601e-15 7.105427357601e-15 465.384615384615 -4.86825470287125e-16
+4 0 2 0 0 24 24 70 15.8653846153846 7.105427357601e-15 7.105427357601e-15 486.538461538462 4.04042189360893e-19
+4 0 2 0 0 24 24 72 15.8653846153846 7.105427357601e-15 7.105427357601e-15 507.692307692308 4.8688328239854e-17
+4 0 2 0 0 24 24 74 15.8653846153846 7.105427357601e-15 7.105427357601e-15 528.846153846154 -6.12044817418537e-22
+4 0 2 0 0 24 24 76 15.8653846153846 7.105427357601e-15 7.105427357601e-15 550 -2.76421521831307e-23
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 24 192 63.4615384615385 0 0 1776.92307692308 2.84979682059373e-34
+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 5.18517360908741e-37
+16 0 0 0 0 24 24 208 63.4615384615385 0 0 1946.15384615385 6.79215714068813e-42
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+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 0
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 -6.1138817676236e-21
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+16 0 1 0 0 24 24 100 63.4615384615385 0 0 803.846153846154 2.73358438044049e-17
+16 0 1 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 2.15641265259653e-17
+16 0 1 0 0 24 24 108 63.4615384615385 0 0 888.461538461538 -3.05651227155494e-17
+16 0 1 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 -1.53295491593219e-17
+16 0 1 0 0 24 24 116 63.4615384615385 0 0 973.076923076923 6.2775332368839e-18
+16 0 1 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 5.4817557698007e-18
+16 0 1 0 0 24 24 124 63.4615384615385 0 0 1057.69230769231 9.33287937058938e-20
+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 -3.33424304928857e-19
+16 0 1 0 0 24 24 132 63.4615384615385 0 0 1142.30769230769 -1.64733431305417e-24
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+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 0
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 24 18 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.78999803585872e-19
+16 0 2 0 0 24 24 20 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 8.48532292688192e-20
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+16 0 2 0 0 24 24 58 63.4615384615385 7.105427357601e-15 7.105427357601e-15 359.615384615385 -5.1096417901286e-17
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+16 0 2 0 0 24 24 64 63.4615384615385 7.105427357601e-15 7.105427357601e-15 423.076923076923 2.12705897038801e-16
+16 0 2 0 0 24 24 66 63.4615384615385 7.105427357601e-15 7.105427357601e-15 444.230769230769 7.43255029088672e-17
+16 0 2 0 0 24 24 68 63.4615384615385 7.105427357601e-15 7.105427357601e-15 465.384615384615 8.64212793169913e-17
+16 0 2 0 0 24 24 70 63.4615384615385 7.105427357601e-15 7.105427357601e-15 486.538461538462 6.89223915335951e-17
+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 2.3674919019255e-17
+16 0 2 0 0 24 24 74 63.4615384615385 7.105427357601e-15 7.105427357601e-15 528.846153846154 -1.85973335223152e-17
+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 -1.58679493350562e-17
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 -2.06428252439235e-18
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 -3.31488231764431e-20
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 24 100 79.3269230769231 0 0 803.846153846154 5.82651724232268e-17
+20 0 1 0 0 24 24 104 79.3269230769231 0 0 846.153846153846 1.81810193234879e-17
+20 0 1 0 0 24 24 108 79.3269230769231 0 0 888.461538461538 -5.99768141409379e-17
+20 0 1 0 0 24 24 112 79.3269230769231 0 0 930.769230769231 -2.60508792487526e-17
+20 0 1 0 0 24 24 116 79.3269230769231 0 0 973.076923076923 5.32407094061183e-18
+20 0 1 0 0 24 24 120 79.3269230769231 0 0 1015.38461538462 6.12621742328284e-18
+20 0 1 0 0 24 24 124 79.3269230769231 0 0 1057.69230769231 4.28140453069782e-19
+20 0 1 0 0 24 24 128 79.3269230769231 0 0 1100 -7.90781724215212e-20
+20 0 1 0 0 24 24 132 79.3269230769231 0 0 1142.30769230769 9.12924449653032e-21
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+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 0
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 2 0 0 24 24 52 79.3269230769231 7.105427357601e-15 7.105427357601e-15 296.153846153846 2.59383807498744e-18
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+20 0 2 0 0 24 24 62 79.3269230769231 7.105427357601e-15 7.105427357601e-15 401.923076923077 4.49097741098967e-16
+20 0 2 0 0 24 24 64 79.3269230769231 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.47374774746835e-16
+20 0 2 0 0 24 24 66 79.3269230769231 7.105427357601e-15 7.105427357601e-15 444.230769230769 -4.28866663243914e-16
+20 0 2 0 0 24 24 68 79.3269230769231 7.105427357601e-15 7.105427357601e-15 465.384615384615 -1.95418415127736e-16
+20 0 2 0 0 24 24 70 79.3269230769231 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.2895670059578e-16
+20 0 2 0 0 24 24 72 79.3269230769231 7.105427357601e-15 7.105427357601e-15 507.692307692308 9.67785534779705e-17
+20 0 2 0 0 24 24 74 79.3269230769231 7.105427357601e-15 7.105427357601e-15 528.846153846154 -4.24923354208331e-18
+20 0 2 0 0 24 24 76 79.3269230769231 7.105427357601e-15 7.105427357601e-15 550 -1.30523732950317e-17
+20 0 2 0 0 24 24 78 79.3269230769231 7.105427357601e-15 7.105427357601e-15 571.153846153846 -4.76325893998758e-18
+20 0 2 0 0 24 24 80 79.3269230769231 7.105427357601e-15 7.105427357601e-15 592.307692307692 -2.61874405849181e-18
+20 0 2 0 0 24 24 82 79.3269230769231 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 1 0 0 24 24 140 95.1923076923077 0 0 1226.92307692308 0
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 2 0 0 24 24 82 95.1923076923077 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 24 24 48 95.1923076923077 7.105427357601e-15 7.105427357601e-15 253.846153846154 3.00842101462312e-19
+24 0 3 0 0 24 24 49 95.1923076923077 7.105427357601e-15 7.105427357601e-15 264.423076923077 4.81379311511986e-19
+24 0 3 0 0 24 24 50 95.1923076923077 7.105427357601e-15 7.105427357601e-15 275 1.03859918836599e-18
+24 0 3 0 0 24 24 51 95.1923076923077 7.105427357601e-15 7.105427357601e-15 285.576923076923 1.44855773671999e-18
+24 0 3 0 0 24 24 52 95.1923076923077 7.105427357601e-15 7.105427357601e-15 296.153846153846 2.99591482488781e-18
+24 0 3 0 0 24 24 53 95.1923076923077 7.105427357601e-15 7.105427357601e-15 306.730769230769 0
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 1 0 0 24 24 12 111.057692307692 0 0 -126.923076923077 -3.21930953330678e-20
+28 0 1 0 0 24 24 16 111.057692307692 0 0 -84.6153846153846 -4.75512430672189e-21
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+28 0 1 0 0 24 24 56 111.057692307692 0 0 338.461538461538 9.169909427237e-17
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+28 0 1 0 0 24 24 92 111.057692307692 0 0 719.230769230769 1.23559687110331e-18
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+28 0 1 0 0 24 24 108 111.057692307692 0 0 888.461538461538 -2.19303550383639e-17
+28 0 1 0 0 24 24 112 111.057692307692 0 0 930.769230769231 -2.6936894638815e-17
+28 0 1 0 0 24 24 116 111.057692307692 0 0 973.076923076923 -2.84394828512993e-18
+28 0 1 0 0 24 24 120 111.057692307692 0 0 1015.38461538462 1.44816037017421e-18
+28 0 1 0 0 24 24 124 111.057692307692 0 0 1057.69230769231 1.03704536927364e-18
+28 0 1 0 0 24 24 128 111.057692307692 0 0 1100 8.06764889667632e-19
+28 0 1 0 0 24 24 132 111.057692307692 0 0 1142.30769230769 7.83094733124751e-20
+28 0 1 0 0 24 24 136 111.057692307692 0 0 1184.61538461538 -1.86880676933642e-20
+28 0 1 0 0 24 24 140 111.057692307692 0 0 1226.92307692308 0
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 24 24 18 111.057692307692 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 2.56284649320747e-19
+28 0 2 0 0 24 24 20 111.057692307692 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.34517480339041e-19
+28 0 2 0 0 24 24 22 111.057692307692 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 4.41796310508653e-20
+28 0 2 0 0 24 24 24 111.057692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1.64538120851598e-19
+28 0 2 0 0 24 24 26 111.057692307692 7.105427357601e-15 7.105427357601e-15 21.1538461538462 4.41796310508653e-20
+28 0 2 0 0 24 24 28 111.057692307692 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.34517480339041e-19
+28 0 2 0 0 24 24 30 111.057692307692 7.105427357601e-15 7.105427357601e-15 63.4615384615385 2.56284649320747e-19
+28 0 2 0 0 24 24 32 111.057692307692 7.105427357601e-15 7.105427357601e-15 84.6153846153846 2.41372784711233e-19
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+28 0 2 0 0 24 24 38 111.057692307692 7.105427357601e-15 7.105427357601e-15 148.076923076923 -9.85101557925786e-20
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+28 0 2 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 -1.8287336881482e-20
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+28 0 2 0 0 24 24 56 111.057692307692 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.18022299311125e-17
+28 0 2 0 0 24 24 58 111.057692307692 7.105427357601e-15 7.105427357601e-15 359.615384615385 2.11398504590672e-16
+28 0 2 0 0 24 24 60 111.057692307692 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.58250032274998e-16
+28 0 2 0 0 24 24 62 111.057692307692 7.105427357601e-15 7.105427357601e-15 401.923076923077 -2.45630530669263e-16
+28 0 2 0 0 24 24 64 111.057692307692 7.105427357601e-15 7.105427357601e-15 423.076923076923 -2.05433434112781e-16
+28 0 2 0 0 24 24 66 111.057692307692 7.105427357601e-15 7.105427357601e-15 444.230769230769 6.95555062054559e-17
+28 0 2 0 0 24 24 68 111.057692307692 7.105427357601e-15 7.105427357601e-15 465.384615384615 3.04189723589032e-17
+28 0 2 0 0 24 24 70 111.057692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 -3.71059286689713e-17
+28 0 2 0 0 24 24 72 111.057692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 -3.48443581636974e-18
+28 0 2 0 0 24 24 74 111.057692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 3.78905146795488e-17
+28 0 2 0 0 24 24 76 111.057692307692 7.105427357601e-15 7.105427357601e-15 550 2.3822320371514e-17
+28 0 2 0 0 24 24 78 111.057692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 2.73293651261621e-19
+28 0 2 0 0 24 24 80 111.057692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 -3.16757844660759e-18
+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 24 22 111.057692307692 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 3.75746325281751e-20
+28 0 3 0 0 24 24 23 111.057692307692 7.105427357601e-15 7.105427357601e-15 -10.5769230769231 2.03092039367822e-19
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+28 0 3 0 0 24 24 25 111.057692307692 7.105427357601e-15 7.105427357601e-15 10.5769230769231 2.03092039367822e-19
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+28 0 3 0 0 24 24 28 111.057692307692 7.105427357601e-15 7.105427357601e-15 42.3076923076923 2.71333193160327e-19
+28 0 3 0 0 24 24 29 111.057692307692 7.105427357601e-15 7.105427357601e-15 52.8846153846154 1.27235416831063e-19
+28 0 3 0 0 24 24 30 111.057692307692 7.105427357601e-15 7.105427357601e-15 63.4615384615385 -2.20041970873704e-20
+28 0 3 0 0 24 24 31 111.057692307692 7.105427357601e-15 7.105427357601e-15 74.0384615384616 1.61857139982917e-19
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+28 0 3 0 0 24 24 37 111.057692307692 7.105427357601e-15 7.105427357601e-15 137.5 9.94927879081182e-20
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+28 0 3 0 0 24 24 43 111.057692307692 7.105427357601e-15 7.105427357601e-15 200.961538461539 -1.11154764490425e-19
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+28 0 3 0 0 24 24 45 111.057692307692 7.105427357601e-15 7.105427357601e-15 222.115384615385 9.18723405283023e-20
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+28 0 3 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 9.44199406895909e-19
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+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momx_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/momx_maximum.xg
new file mode 100644
index 000000000..8ed0aa93c
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momx_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMCONSTRAINTS::momx
+"momx v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 2.0924195474364e-10
+1.5865384615385e+01 1.6521608878549e-10
+2.3798076923077e+01 2.8179297895190e-10
+3.1730769230769e+01 3.7692569384566e-11
+3.9663461538462e+01 2.1669857225934e-10
+4.7596153846154e+01 1.2942000729008e-10
+5.5528846153846e+01 3.3972497113517e-10
+6.3461538461538e+01 4.8816515373825e-11
+7.1394230769231e+01 2.2259827768621e-10
+7.5360576923077e+01 6.3661022005200e-10
+7.9326923076923e+01 1.3740863112399e-10
+8.3293269230769e+01 6.1994096839172e-10
+8.7259615384615e+01 2.0285899882329e-10
+9.1225961538462e+01 5.0014035183126e-10
+9.5192307692308e+01 4.2060266954687e-11
+9.9158653846154e+01 6.8537768680078e-10
+1.0312500000000e+02 2.1476009737593e-10
+1.0709134615385e+02 6.5046291177896e-10
+1.1105769230769e+02 6.3951467426671e-11
+1.1502403846154e+02 4.4875924263905e-10
+1.1899038461538e+02 2.5011756306012e-10
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momx_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/momx_minimum.xg
new file mode 100644
index 000000000..42754e4fa
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momx_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMCONSTRAINTS::momx
+"momx v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 -2.0924195474364e-10
+1.5865384615385e+01 -1.4299326250892e-10
+2.3798076923077e+01 -3.3070531428110e-10
+3.1730769230769e+01 -3.6668970966726e-11
+3.9663461538462e+01 -2.8125543741529e-10
+4.7596153846154e+01 -1.2942000729008e-10
+5.5528846153846e+01 -2.3448887380913e-10
+6.3461538461538e+01 -4.8816515373825e-11
+7.1394230769231e+01 -1.9166970995926e-10
+7.5360576923077e+01 -7.5478500439461e-10
+7.9326923076923e+01 -1.3740863112399e-10
+8.3293269230769e+01 -6.7774925937380e-10
+8.7259615384615e+01 -2.5603686093492e-10
+9.1225961538462e+01 -5.5160125379182e-10
+9.5192307692308e+01 -4.2060266954687e-11
+9.9158653846154e+01 -5.1770705781747e-10
+1.0312500000000e+02 -2.0409602563530e-10
+1.0709134615385e+02 -5.5119840040956e-10
+1.1105769230769e+02 -6.1574162590930e-11
+1.1502403846154e+02 -4.7064626961035e-10
+1.1899038461538e+02 -1.6665400626828e-10
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momx_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/momx_norm1.xg
new file mode 100644
index 000000000..8efa5b76a
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momx_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMCONSTRAINTS::momx
+"momx v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 2.8071125481493e-11
+1.5865384615385e+01 3.9261856210633e-12
+2.3798076923077e+01 2.4664405701067e-11
+3.1730769230769e+01 4.8909049707571e-13
+3.9663461538462e+01 2.0503115267583e-11
+4.7596153846154e+01 3.8637685757740e-12
+5.5528846153846e+01 1.9544854220373e-11
+6.3461538461538e+01 6.1851882487379e-13
+7.1394230769231e+01 1.6812528796445e-11
+7.5360576923077e+01 6.8872969962883e-11
+7.9326923076923e+01 3.7818518811622e-12
+8.3293269230769e+01 7.8741887793037e-11
+8.7259615384615e+01 1.7507370531298e-11
+9.1225961538462e+01 5.9054108080183e-11
+9.5192307692308e+01 6.6269721076815e-13
+9.9158653846154e+01 6.7829333030583e-11
+1.0312500000000e+02 1.6165943692720e-11
+1.0709134615385e+02 6.6350760836420e-11
+1.1105769230769e+02 3.3672152214794e-12
+1.1502403846154e+02 6.3898177791495e-11
+1.1899038461538e+02 1.4960171995534e-11
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momx_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/momx_norm2.xg
new file mode 100644
index 000000000..6ee80a0a6
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momx_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMCONSTRAINTS::momx
+"momx v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 4.7062346702895e-11
+1.5865384615385e+01 1.0765357656623e-11
+2.3798076923077e+01 3.9602491739965e-11
+3.1730769230769e+01 1.9988228437682e-12
+3.9663461538462e+01 3.1840144924809e-11
+4.7596153846154e+01 9.7079417900755e-12
+5.5528846153846e+01 3.2430205734266e-11
+6.3461538461538e+01 2.2814776678958e-12
+7.1394230769231e+01 2.7219551040588e-11
+7.5360576923077e+01 1.0849178299329e-10
+7.9326923076923e+01 8.6745613528489e-12
+8.3293269230769e+01 1.2046958673368e-10
+8.7259615384615e+01 2.8344022273847e-11
+9.1225961538462e+01 8.1250370650385e-11
+9.5192307692308e+01 1.9713520076623e-12
+9.9158653846154e+01 1.0084006270594e-10
+1.0312500000000e+02 2.6391005562960e-11
+1.0709134615385e+02 9.6435619315591e-11
+1.1105769230769e+02 6.2060432859782e-12
+1.1502403846154e+02 8.8015478114727e-11
+1.1899038461538e+02 2.3551337115565e-11
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momy.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/momy.x.asc
new file mode 100644
index 000000000..4acf087b4
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momy.x.asc
@@ -0,0 +1,864 @@
+# ADMCONSTRAINTS::momy x (momy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 0
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 0
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 0
+0 0 0 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 0 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 0 0 0 96 24 24 0 761.538461538462 0 0 0
+0 0 0 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 0 0 0 128 24 24 0 1100 0 0 0
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 0
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 0
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 0
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 0
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 0
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 0
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 0
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 0
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 0
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 0
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 0
+0 0 0 0 0 232 24 24 0 2200 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 0
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 0
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 0
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 0
+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 1 0 0 52 24 24 0 296.153846153846 0 0 0
+0 0 1 0 0 56 24 24 0 338.461538461538 0 0 0
+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 0
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 0
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 1 0 0 76 24 24 0 550 0 0 0
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 1 0 0 84 24 24 0 634.615384615385 0 0 0
+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 1 0 0 92 24 24 0 719.230769230769 0 0 0
+0 0 1 0 0 96 24 24 0 761.538461538462 0 0 0
+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 0
+0 0 1 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 0
+0 0 1 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 0
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 0
+0 0 1 0 0 128 24 24 0 1100 0 0 0
+0 0 1 0 0 132 24 24 0 1142.30769230769 0 0 0
+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 20 24 24 0 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 22 24 24 0 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 26 24 24 0 21.1538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 28 24 24 0 42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 30 24 24 0 63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 32 24 24 0 84.6153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 34 24 24 0 105.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 36 24 24 0 126.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 38 24 24 0 148.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 40 24 24 0 169.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 42 24 24 0 190.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 44 24 24 0 211.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 46 24 24 0 232.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 48 24 24 0 253.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 50 24 24 0 275 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 52 24 24 0 296.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 54 24 24 0 317.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 56 24 24 0 338.461538461538 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 58 24 24 0 359.615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 60 24 24 0 380.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 62 24 24 0 401.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 64 24 24 0 423.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 66 24 24 0 444.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 68 24 24 0 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 70 24 24 0 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 72 24 24 0 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 74 24 24 0 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 76 24 24 0 550 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 78 24 24 0 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 80 24 24 0 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 12 24 24 15.8653846153846 -126.923076923077 0 0 2.19167096503863e-20
+4 0 1 0 0 16 24 24 15.8653846153846 -84.6153846153846 0 0 -9.58196749040921e-21
+4 0 1 0 0 20 24 24 15.8653846153846 -42.3076923076923 0 0 -1.14099170912526e-20
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 2.9547538277574e-20
+4 0 1 0 0 28 24 24 15.8653846153846 42.3076923076923 0 0 -1.14099170912526e-20
+4 0 1 0 0 32 24 24 15.8653846153846 84.6153846153846 0 0 -9.58196749040921e-21
+4 0 1 0 0 36 24 24 15.8653846153846 126.923076923077 0 0 2.19167096503863e-20
+4 0 1 0 0 40 24 24 15.8653846153846 169.230769230769 0 0 -6.9781804239801e-21
+4 0 1 0 0 44 24 24 15.8653846153846 211.538461538462 0 0 -1.87163931438229e-20
+4 0 1 0 0 48 24 24 15.8653846153846 253.846153846154 0 0 1.93248106466728e-20
+4 0 1 0 0 52 24 24 15.8653846153846 296.153846153846 0 0 6.89875858993202e-22
+4 0 1 0 0 56 24 24 15.8653846153846 338.461538461538 0 0 -1.20865363288616e-22
+4 0 1 0 0 60 24 24 15.8653846153846 380.769230769231 0 0 3.89106002415992e-16
+4 0 1 0 0 64 24 24 15.8653846153846 423.076923076923 0 0 -4.16585437484927e-18
+4 0 1 0 0 68 24 24 15.8653846153846 465.384615384615 0 0 -3.89622620340952e-16
+4 0 1 0 0 72 24 24 15.8653846153846 507.692307692308 0 0 -3.56137487338358e-22
+4 0 1 0 0 76 24 24 15.8653846153846 550 0 0 -6.55489164227017e-38
+4 0 1 0 0 80 24 24 15.8653846153846 592.307692307692 0 0 -3.21870006404981e-39
+4 0 1 0 0 84 24 24 15.8653846153846 634.615384615385 0 0 0
+4 0 1 0 0 88 24 24 15.8653846153846 676.923076923077 0 0 0
+4 0 1 0 0 92 24 24 15.8653846153846 719.230769230769 0 0 0
+4 0 1 0 0 96 24 24 15.8653846153846 761.538461538462 0 0 -1.97196089769746e-22
+4 0 1 0 0 100 24 24 15.8653846153846 803.846153846154 0 0 7.88142106226581e-22
+4 0 1 0 0 104 24 24 15.8653846153846 846.153846153846 0 0 -1.5159789805691e-17
+4 0 1 0 0 108 24 24 15.8653846153846 888.461538461538 0 0 -2.42961988599477e-21
+4 0 1 0 0 112 24 24 15.8653846153846 930.769230769231 0 0 1.68609924091815e-17
+4 0 1 0 0 116 24 24 15.8653846153846 973.076923076923 0 0 -6.48977837236766e-23
+4 0 1 0 0 120 24 24 15.8653846153846 1015.38461538462 0 0 -1.68931873111742e-18
+4 0 1 0 0 124 24 24 15.8653846153846 1057.69230769231 0 0 1.5631812191212e-26
+4 0 1 0 0 128 24 24 15.8653846153846 1100 0 0 4.18468534109219e-41
+4 0 1 0 0 132 24 24 15.8653846153846 1142.30769230769 0 0 -1.40686476100911e-25
+4 0 1 0 0 136 24 24 15.8653846153846 1184.61538461538 0 0 -2.50109412396642e-25
+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 18 24 24 15.8653846153846 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -4.63615213277296e-21
+4 0 2 0 0 20 24 24 15.8653846153846 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 -1.8929936936677e-20
+4 0 2 0 0 22 24 24 15.8653846153846 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 -5.19616530391635e-22
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 7.49407463918635e-21
+4 0 2 0 0 26 24 24 15.8653846153846 21.1538461538462 7.105427357601e-15 7.105427357601e-15 -5.19616530391635e-22
+4 0 2 0 0 28 24 24 15.8653846153846 42.3076923076923 7.105427357601e-15 7.105427357601e-15 -1.8929936936677e-20
+4 0 2 0 0 30 24 24 15.8653846153846 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -4.63615213277296e-21
+4 0 2 0 0 32 24 24 15.8653846153846 84.6153846153846 7.105427357601e-15 7.105427357601e-15 -1.74197947369423e-20
+4 0 2 0 0 34 24 24 15.8653846153846 105.769230769231 7.105427357601e-15 7.105427357601e-15 -2.91143649251565e-20
+4 0 2 0 0 36 24 24 15.8653846153846 126.923076923077 7.105427357601e-15 7.105427357601e-15 1.42389992669481e-20
+4 0 2 0 0 38 24 24 15.8653846153846 148.076923076923 7.105427357601e-15 7.105427357601e-15 1.6251666161022e-20
+4 0 2 0 0 40 24 24 15.8653846153846 169.230769230769 7.105427357601e-15 7.105427357601e-15 -1.21650752200261e-20
+4 0 2 0 0 42 24 24 15.8653846153846 190.384615384615 7.105427357601e-15 7.105427357601e-15 3.0424931025742e-21
+4 0 2 0 0 44 24 24 15.8653846153846 211.538461538462 7.105427357601e-15 7.105427357601e-15 -1.0250136809882e-20
+4 0 2 0 0 46 24 24 15.8653846153846 232.692307692308 7.105427357601e-15 7.105427357601e-15 1.47572919672121e-20
+4 0 2 0 0 48 24 24 15.8653846153846 253.846153846154 7.105427357601e-15 7.105427357601e-15 2.8619246983642e-20
+4 0 2 0 0 50 24 24 15.8653846153846 275 7.105427357601e-15 7.105427357601e-15 2.00025552629006e-21
+4 0 2 0 0 52 24 24 15.8653846153846 296.153846153846 7.105427357601e-15 7.105427357601e-15 -8.77696387902176e-21
+4 0 2 0 0 54 24 24 15.8653846153846 317.307692307692 7.105427357601e-15 7.105427357601e-15 -2.94584020078454e-22
+4 0 2 0 0 56 24 24 15.8653846153846 338.461538461538 7.105427357601e-15 7.105427357601e-15 1.67100488039146e-23
+4 0 2 0 0 58 24 24 15.8653846153846 359.615384615385 7.105427357601e-15 7.105427357601e-15 5.29701021830129e-23
+4 0 2 0 0 60 24 24 15.8653846153846 380.769230769231 7.105427357601e-15 7.105427357601e-15 3.1217825021961e-17
+4 0 2 0 0 62 24 24 15.8653846153846 401.923076923077 7.105427357601e-15 7.105427357601e-15 7.78461391160915e-16
+4 0 2 0 0 64 24 24 15.8653846153846 423.076923076923 7.105427357601e-15 7.105427357601e-15 3.73509047347891e-16
+4 0 2 0 0 66 24 24 15.8653846153846 444.230769230769 7.105427357601e-15 7.105427357601e-15 -7.82386939618398e-16
+4 0 2 0 0 68 24 24 15.8653846153846 465.384615384615 7.105427357601e-15 7.105427357601e-15 -4.86834098492938e-16
+4 0 2 0 0 70 24 24 15.8653846153846 486.538461538462 7.105427357601e-15 7.105427357601e-15 3.77194621168394e-19
+4 0 2 0 0 72 24 24 15.8653846153846 507.692307692308 7.105427357601e-15 7.105427357601e-15 4.86859435176488e-17
+4 0 2 0 0 74 24 24 15.8653846153846 528.846153846154 7.105427357601e-15 7.105427357601e-15 -4.24673012830574e-23
+4 0 2 0 0 76 24 24 15.8653846153846 550 7.105427357601e-15 7.105427357601e-15 4.45021605689271e-23
+4 0 2 0 0 78 24 24 15.8653846153846 571.153846153846 7.105427357601e-15 7.105427357601e-15 -4.32584400370701e-35
+4 0 2 0 0 80 24 24 15.8653846153846 592.307692307692 7.105427357601e-15 7.105427357601e-15 4.16875683563202e-39
+4 0 2 0 0 82 24 24 15.8653846153846 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 0 24 24 31.7307692307692 -253.846153846154 0 0 -1.53396346095404e-21
+8 0 0 0 0 8 24 24 31.7307692307692 -169.230769230769 0 0 7.65048225099569e-22
+8 0 0 0 0 16 24 24 31.7307692307692 -84.6153846153846 0 0 5.19991821248936e-21
+8 0 0 0 0 24 24 24 31.7307692307692 0 0 0 -7.61755514724775e-21
+8 0 0 0 0 32 24 24 31.7307692307692 84.6153846153846 0 0 5.19991821248936e-21
+8 0 0 0 0 40 24 24 31.7307692307692 169.230769230769 0 0 7.65048225099569e-22
+8 0 0 0 0 48 24 24 31.7307692307692 253.846153846154 0 0 -1.53396346095404e-21
+8 0 0 0 0 56 24 24 31.7307692307692 338.461538461539 0 0 -3.79978051260383e-17
+8 0 0 0 0 64 24 24 31.7307692307692 423.076923076923 0 0 5.70313823788608e-19
+8 0 0 0 0 72 24 24 31.7307692307692 507.692307692308 0 0 3.81013570929285e-17
+8 0 0 0 0 80 24 24 31.7307692307692 592.307692307692 0 0 -2.68269326992372e-19
+8 0 0 0 0 88 24 24 31.7307692307692 676.923076923077 0 0 -6.77502508978362e-24
+8 0 0 0 0 96 24 24 31.7307692307692 761.538461538462 0 0 -3.43904732624355e-17
+8 0 0 0 0 104 24 24 31.7307692307692 846.153846153846 0 0 1.17730124101703e-18
+8 0 0 0 0 112 24 24 31.7307692307692 930.769230769231 0 0 3.44500558692181e-17
+8 0 0 0 0 120 24 24 31.7307692307692 1015.38461538462 0 0 2.74533223066077e-39
+8 0 0 0 0 128 24 24 31.7307692307692 1100 0 0 0
+8 0 0 0 0 136 24 24 31.7307692307692 1184.61538461538 0 0 0
+8 0 0 0 0 144 24 24 31.7307692307692 1269.23076923077 0 0 0
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+8 0 0 0 0 160 24 24 31.7307692307692 1438.46153846154 0 0 0
+8 0 0 0 0 168 24 24 31.7307692307692 1523.07692307692 0 0 0
+8 0 0 0 0 176 24 24 31.7307692307692 1607.69230769231 0 0 0
+8 0 0 0 0 184 24 24 31.7307692307692 1692.30769230769 0 0 0
+8 0 0 0 0 192 24 24 31.7307692307692 1776.92307692308 0 0 0
+8 0 0 0 0 200 24 24 31.7307692307692 1861.53846153846 0 0 0
+8 0 0 0 0 208 24 24 31.7307692307692 1946.15384615385 0 0 0
+8 0 0 0 0 216 24 24 31.7307692307692 2030.76923076923 0 0 0
+8 0 0 0 0 224 24 24 31.7307692307692 2115.38461538462 0 0 0
+8 0 0 0 0 232 24 24 31.7307692307692 2200 0 0 0
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 12 24 24 31.7307692307692 -126.923076923077 0 0 4.54988481471131e-21
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+8 0 1 0 0 96 24 24 31.7307692307692 761.538461538462 0 0 -2.83540037325106e-18
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+8 0 1 0 0 104 24 24 31.7307692307692 846.153846153846 0 0 -2.84435563991616e-17
+8 0 1 0 0 108 24 24 31.7307692307692 888.461538461538 0 0 6.97005564775323e-17
+8 0 1 0 0 112 24 24 31.7307692307692 930.769230769231 0 0 4.30412728533724e-17
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+8 0 1 0 0 120 24 24 31.7307692307692 1015.38461538462 0 0 -4.30424960053593e-18
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+8 0 1 0 0 128 24 24 31.7307692307692 1100 0 0 -3.43025844852814e-40
+8 0 1 0 0 132 24 24 31.7307692307692 1142.30769230769 0 0 0
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+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 0
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 18 24 24 31.7307692307692 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -2.77453902274737e-20
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+8 0 2 0 0 68 24 24 31.7307692307692 465.384615384615 7.105427357601e-15 7.105427357601e-15 9.68267225244475e-17
+8 0 2 0 0 70 24 24 31.7307692307692 486.538461538462 7.105427357601e-15 7.105427357601e-15 -7.28638766455357e-17
+8 0 2 0 0 72 24 24 31.7307692307692 507.692307692308 7.105427357601e-15 7.105427357601e-15 -5.55935209663117e-17
+8 0 2 0 0 74 24 24 31.7307692307692 528.846153846154 7.105427357601e-15 7.105427357601e-15 -1.04617402627539e-18
+8 0 2 0 0 76 24 24 31.7307692307692 550 7.105427357601e-15 7.105427357601e-15 3.93793454120617e-18
+8 0 2 0 0 78 24 24 31.7307692307692 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.75814502794979e-23
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+8 0 2 0 0 82 24 24 31.7307692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 12 24 24 47.5961538461538 -126.923076923077 0 0 -1.31465684928035e-20
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+12 0 1 0 0 120 24 24 47.5961538461538 1015.38461538462 0 0 -2.30225960690065e-18
+12 0 1 0 0 124 24 24 47.5961538461538 1057.69230769231 0 0 3.4995661555164e-20
+12 0 1 0 0 128 24 24 47.5961538461538 1100 0 0 -1.25032044770391e-19
+12 0 1 0 0 132 24 24 47.5961538461538 1142.30769230769 0 0 -6.64836908596424e-25
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+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 0
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 18 24 24 47.5961538461538 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 3.0123802635694e-21
+12 0 2 0 0 20 24 24 47.5961538461538 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 5.03501644453499e-20
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+12 0 2 0 0 66 24 24 47.5961538461538 444.230769230769 7.105427357601e-15 7.105427357601e-15 6.76303883745034e-16
+12 0 2 0 0 68 24 24 47.5961538461538 465.384615384615 7.105427357601e-15 7.105427357601e-15 3.90761263774399e-16
+12 0 2 0 0 70 24 24 47.5961538461538 486.538461538462 7.105427357601e-15 7.105427357601e-15 -5.38427302776689e-17
+12 0 2 0 0 72 24 24 47.5961538461538 507.692307692308 7.105427357601e-15 7.105427357601e-15 -7.87609734151723e-17
+12 0 2 0 0 74 24 24 47.5961538461538 528.846153846154 7.105427357601e-15 7.105427357601e-15 -1.17980277074694e-17
+12 0 2 0 0 76 24 24 47.5961538461538 550 7.105427357601e-15 7.105427357601e-15 -3.44893367678085e-18
+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 -2.67750420599526e-19
+12 0 2 0 0 80 24 24 47.5961538461538 592.307692307692 7.105427357601e-15 7.105427357601e-15 5.84046277516311e-19
+12 0 2 0 0 82 24 24 47.5961538461538 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 0 24 24 63.4615384615385 -253.846153846154 0 0 1.34597784015931e-18
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+16 0 0 0 0 120 24 24 63.4615384615385 1015.38461538462 0 0 3.16685717378996e-18
+16 0 0 0 0 128 24 24 63.4615384615385 1100 0 0 4.98365734401906e-20
+16 0 0 0 0 136 24 24 63.4615384615385 1184.61538461538 0 0 5.27600708572505e-51
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+16 0 0 0 0 184 24 24 63.4615384615385 1692.30769230769 0 0 0
+16 0 0 0 0 192 24 24 63.4615384615385 1776.92307692308 0 0 0
+16 0 0 0 0 200 24 24 63.4615384615385 1861.53846153846 0 0 0
+16 0 0 0 0 208 24 24 63.4615384615385 1946.15384615385 0 0 0
+16 0 0 0 0 216 24 24 63.4615384615385 2030.76923076923 0 0 0
+16 0 0 0 0 224 24 24 63.4615384615385 2115.38461538462 0 0 0
+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 12 24 24 63.4615384615385 -126.923076923077 0 0 -1.24995454165267e-20
+16 0 1 0 0 16 24 24 63.4615384615385 -84.6153846153846 0 0 1.46577091514734e-20
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+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+28 0 1 0 0 120 24 24 111.057692307692 1015.38461538462 0 0 1.44825488598914e-18
+28 0 1 0 0 124 24 24 111.057692307692 1057.69230769231 0 0 1.0370448265218e-18
+28 0 1 0 0 128 24 24 111.057692307692 1100 0 0 8.06750403070204e-19
+28 0 1 0 0 132 24 24 111.057692307692 1142.30769230769 0 0 7.83077470094656e-20
+28 0 1 0 0 136 24 24 111.057692307692 1184.61538461538 0 0 -1.86880956060768e-20
+28 0 1 0 0 140 24 24 111.057692307692 1226.92307692308 0 0 0
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 68 24 24 111.057692307692 465.384615384615 7.105427357601e-15 7.105427357601e-15 3.03954113412837e-17
+28 0 2 0 0 70 24 24 111.057692307692 486.538461538462 7.105427357601e-15 7.105427357601e-15 -3.71168725470695e-17
+28 0 2 0 0 72 24 24 111.057692307692 507.692307692308 7.105427357601e-15 7.105427357601e-15 -3.48886002344023e-18
+28 0 2 0 0 74 24 24 111.057692307692 528.846153846154 7.105427357601e-15 7.105427357601e-15 3.78922924912336e-17
+28 0 2 0 0 76 24 24 111.057692307692 550 7.105427357601e-15 7.105427357601e-15 2.38271241475856e-17
+28 0 2 0 0 78 24 24 111.057692307692 571.153846153846 7.105427357601e-15 7.105427357601e-15 2.76457186508207e-19
+28 0 2 0 0 80 24 24 111.057692307692 592.307692307692 7.105427357601e-15 7.105427357601e-15 -3.16648262212516e-18
+28 0 2 0 0 82 24 24 111.057692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 43 24 24 111.057692307692 200.961538461539 7.105427357601e-15 7.105427357601e-15 1.22999931581632e-19
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+28 0 3 0 0 45 24 24 111.057692307692 222.115384615385 7.105427357601e-15 7.105427357601e-15 9.66337166122801e-21
+28 0 3 0 0 46 24 24 111.057692307692 232.692307692308 7.105427357601e-15 7.105427357601e-15 2.40048487993111e-20
+28 0 3 0 0 47 24 24 111.057692307692 243.269230769231 7.105427357601e-15 7.105427357601e-15 1.11947679341786e-19
+28 0 3 0 0 48 24 24 111.057692307692 253.846153846154 7.105427357601e-15 7.105427357601e-15 4.07708027907696e-19
+28 0 3 0 0 49 24 24 111.057692307692 264.423076923077 7.105427357601e-15 7.105427357601e-15 5.42403539864268e-19
+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 9.30775835449669e-19
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 -6.42091763737201e-19
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 -6.60020762114415e-18
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momy.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/momy.y.asc
new file mode 100644
index 000000000..2f96c9681
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momy.y.asc
@@ -0,0 +1,864 @@
+# ADMCONSTRAINTS::momy y (momy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 -0
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 -0
+0 0 0 0 0 24 16 24 0 0 -84.6153846153846 0 -0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 24 32 24 0 0 84.6153846153846 0 0
+0 0 0 0 0 24 40 24 0 0 169.230769230769 0 0
+0 0 0 0 0 24 48 24 0 0 253.846153846154 0 0
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+0 0 0 0 0 24 120 24 0 0 1015.38461538462 0 0
+0 0 0 0 0 24 128 24 0 0 1100 0 0
+0 0 0 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 0 0 0 24 144 24 0 0 1269.23076923077 0 0
+0 0 0 0 0 24 152 24 0 0 1353.84615384615 0 0
+0 0 0 0 0 24 160 24 0 0 1438.46153846154 0 0
+0 0 0 0 0 24 168 24 0 0 1523.07692307692 0 0
+0 0 0 0 0 24 176 24 0 0 1607.69230769231 0 0
+0 0 0 0 0 24 184 24 0 0 1692.30769230769 0 0
+0 0 0 0 0 24 192 24 0 0 1776.92307692308 0 0
+0 0 0 0 0 24 200 24 0 0 1861.53846153846 0 0
+0 0 0 0 0 24 208 24 0 0 1946.15384615385 0 0
+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 0
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 0
+0 0 0 0 0 24 232 24 0 0 2200 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 -0
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 -0
+0 0 1 0 0 24 20 24 0 0 -42.3076923076923 0 -0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 24 28 24 0 0 42.3076923076923 0 0
+0 0 1 0 0 24 32 24 0 0 84.6153846153846 0 0
+0 0 1 0 0 24 36 24 0 0 126.923076923077 0 0
+0 0 1 0 0 24 40 24 0 0 169.230769230769 0 0
+0 0 1 0 0 24 44 24 0 0 211.538461538462 0 0
+0 0 1 0 0 24 48 24 0 0 253.846153846154 0 0
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+0 0 1 0 0 24 56 24 0 0 338.461538461538 0 0
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+0 0 1 0 0 24 68 24 0 0 465.384615384615 0 0
+0 0 1 0 0 24 72 24 0 0 507.692307692308 0 0
+0 0 1 0 0 24 76 24 0 0 550 0 0
+0 0 1 0 0 24 80 24 0 0 592.307692307692 0 0
+0 0 1 0 0 24 84 24 0 0 634.615384615385 0 0
+0 0 1 0 0 24 88 24 0 0 676.923076923077 0 0
+0 0 1 0 0 24 92 24 0 0 719.230769230769 0 0
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+0 0 1 0 0 24 100 24 0 0 803.846153846154 0 0
+0 0 1 0 0 24 104 24 0 0 846.153846153846 0 0
+0 0 1 0 0 24 108 24 0 0 888.461538461538 0 0
+0 0 1 0 0 24 112 24 0 0 930.769230769231 0 0
+0 0 1 0 0 24 116 24 0 0 973.076923076923 0 0
+0 0 1 0 0 24 120 24 0 0 1015.38461538462 0 0
+0 0 1 0 0 24 124 24 0 0 1057.69230769231 0 0
+0 0 1 0 0 24 128 24 0 0 1100 0 0
+0 0 1 0 0 24 132 24 0 0 1142.30769230769 0 0
+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 18 24 0 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 -0
+0 0 2 0 0 24 20 24 0 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 -0
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+0 0 2 0 0 24 32 24 0 7.105427357601e-15 84.6153846153846 7.105427357601e-15 0
+0 0 2 0 0 24 34 24 0 7.105427357601e-15 105.769230769231 7.105427357601e-15 0
+0 0 2 0 0 24 36 24 0 7.105427357601e-15 126.923076923077 7.105427357601e-15 0
+0 0 2 0 0 24 38 24 0 7.105427357601e-15 148.076923076923 7.105427357601e-15 0
+0 0 2 0 0 24 40 24 0 7.105427357601e-15 169.230769230769 7.105427357601e-15 0
+0 0 2 0 0 24 42 24 0 7.105427357601e-15 190.384615384615 7.105427357601e-15 0
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+0 0 2 0 0 24 52 24 0 7.105427357601e-15 296.153846153846 7.105427357601e-15 0
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+0 0 2 0 0 24 56 24 0 7.105427357601e-15 338.461538461538 7.105427357601e-15 0
+0 0 2 0 0 24 58 24 0 7.105427357601e-15 359.615384615385 7.105427357601e-15 0
+0 0 2 0 0 24 60 24 0 7.105427357601e-15 380.769230769231 7.105427357601e-15 0
+0 0 2 0 0 24 62 24 0 7.105427357601e-15 401.923076923077 7.105427357601e-15 0
+0 0 2 0 0 24 64 24 0 7.105427357601e-15 423.076923076923 7.105427357601e-15 0
+0 0 2 0 0 24 66 24 0 7.105427357601e-15 444.230769230769 7.105427357601e-15 0
+0 0 2 0 0 24 68 24 0 7.105427357601e-15 465.384615384615 7.105427357601e-15 0
+0 0 2 0 0 24 70 24 0 7.105427357601e-15 486.538461538462 7.105427357601e-15 0
+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+0 0 2 0 0 24 74 24 0 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 0
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 3.94089610700377e-11
+4 0 1 0 0 24 16 24 15.8653846153846 0 -84.6153846153846 0 -1.3614806330899e-10
+4 0 1 0 0 24 20 24 15.8653846153846 0 -42.3076923076923 0 3.21121021372206e-12
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 2.9547538277574e-20
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+4 0 1 0 0 24 32 24 15.8653846153846 0 84.6153846153846 0 1.3614806330899e-10
+4 0 1 0 0 24 36 24 15.8653846153846 0 126.923076923077 0 -3.94089610700377e-11
+4 0 1 0 0 24 40 24 15.8653846153846 0 169.230769230769 0 3.80482413501312e-11
+4 0 1 0 0 24 44 24 15.8653846153846 0 211.538461538462 0 1.65216088770388e-10
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+4 0 1 0 0 24 52 24 15.8653846153846 0 296.153846153846 0 -7.2244101330341e-11
+4 0 1 0 0 24 56 24 15.8653846153846 0 338.461538461538 0 -1.42993262486898e-10
+4 0 1 0 0 24 60 24 15.8653846153846 0 380.769230769231 0 -1.13066038622259e-11
+4 0 1 0 0 24 64 24 15.8653846153846 0 423.076923076923 0 6.02910601981308e-11
+4 0 1 0 0 24 68 24 15.8653846153846 0 465.384615384615 0 -4.89396939152028e-11
+4 0 1 0 0 24 72 24 15.8653846153846 0 507.692307692308 0 -3.18403829505365e-12
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 2 0 0 24 82 24 15.8653846153846 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 82 24 31.7307692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 82 24 47.5961538461538 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 0
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 24 76 24 63.4615384615385 7.105427357601e-15 550 7.105427357601e-15 1.17029998647473e-11
+16 0 2 0 0 24 78 24 63.4615384615385 7.105427357601e-15 571.153846153846 7.105427357601e-15 2.5583401178701e-12
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+16 0 2 0 0 24 82 24 63.4615384615385 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
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+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 2.41163695486755e-10
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momy.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/momy.z.asc
new file mode 100644
index 000000000..0a49b346c
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momy.z.asc
@@ -0,0 +1,864 @@
+# ADMCONSTRAINTS::momy z (momy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 0
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 0
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 0 0 0 24 24 48 0 0 0 253.846153846154 0
+0 0 0 0 0 24 24 56 0 0 0 338.461538461539 0
+0 0 0 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 0 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 0 0 0 24 24 80 0 0 0 592.307692307692 0
+0 0 0 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 0 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 0 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 0 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 0 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 0 0 0 24 24 128 0 0 0 1100 0
+0 0 0 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 0
+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 0
+0 0 0 0 0 24 24 160 0 0 0 1438.46153846154 0
+0 0 0 0 0 24 24 168 0 0 0 1523.07692307692 0
+0 0 0 0 0 24 24 176 0 0 0 1607.69230769231 0
+0 0 0 0 0 24 24 184 0 0 0 1692.30769230769 0
+0 0 0 0 0 24 24 192 0 0 0 1776.92307692308 0
+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 0
+0 0 0 0 0 24 24 208 0 0 0 1946.15384615385 0
+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 0
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 0
+0 0 0 0 0 24 24 232 0 0 0 2200 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 0
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 24 24 28 0 0 0 42.3076923076923 0
+0 0 1 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 1 0 0 24 24 36 0 0 0 126.923076923077 0
+0 0 1 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 1 0 0 24 24 44 0 0 0 211.538461538462 0
+0 0 1 0 0 24 24 48 0 0 0 253.846153846154 0
+0 0 1 0 0 24 24 52 0 0 0 296.153846153846 0
+0 0 1 0 0 24 24 56 0 0 0 338.461538461538 0
+0 0 1 0 0 24 24 60 0 0 0 380.769230769231 0
+0 0 1 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 1 0 0 24 24 68 0 0 0 465.384615384615 0
+0 0 1 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 1 0 0 24 24 76 0 0 0 550 0
+0 0 1 0 0 24 24 80 0 0 0 592.307692307692 0
+0 0 1 0 0 24 24 84 0 0 0 634.615384615385 0
+0 0 1 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 1 0 0 24 24 92 0 0 0 719.230769230769 0
+0 0 1 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 1 0 0 24 24 100 0 0 0 803.846153846154 0
+0 0 1 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 1 0 0 24 24 108 0 0 0 888.461538461538 0
+0 0 1 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 1 0 0 24 24 116 0 0 0 973.076923076923 0
+0 0 1 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 1 0 0 24 24 124 0 0 0 1057.69230769231 0
+0 0 1 0 0 24 24 128 0 0 0 1100 0
+0 0 1 0 0 24 24 132 0 0 0 1142.30769230769 0
+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
+0 0 2 0 0 24 24 20 0 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 0
+0 0 2 0 0 24 24 22 0 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 24 24 26 0 7.105427357601e-15 7.105427357601e-15 21.1538461538462 0
+0 0 2 0 0 24 24 28 0 7.105427357601e-15 7.105427357601e-15 42.3076923076923 0
+0 0 2 0 0 24 24 30 0 7.105427357601e-15 7.105427357601e-15 63.4615384615385 0
+0 0 2 0 0 24 24 32 0 7.105427357601e-15 7.105427357601e-15 84.6153846153846 0
+0 0 2 0 0 24 24 34 0 7.105427357601e-15 7.105427357601e-15 105.769230769231 0
+0 0 2 0 0 24 24 36 0 7.105427357601e-15 7.105427357601e-15 126.923076923077 0
+0 0 2 0 0 24 24 38 0 7.105427357601e-15 7.105427357601e-15 148.076923076923 0
+0 0 2 0 0 24 24 40 0 7.105427357601e-15 7.105427357601e-15 169.230769230769 0
+0 0 2 0 0 24 24 42 0 7.105427357601e-15 7.105427357601e-15 190.384615384615 0
+0 0 2 0 0 24 24 44 0 7.105427357601e-15 7.105427357601e-15 211.538461538462 0
+0 0 2 0 0 24 24 46 0 7.105427357601e-15 7.105427357601e-15 232.692307692308 0
+0 0 2 0 0 24 24 48 0 7.105427357601e-15 7.105427357601e-15 253.846153846154 0
+0 0 2 0 0 24 24 50 0 7.105427357601e-15 7.105427357601e-15 275 0
+0 0 2 0 0 24 24 52 0 7.105427357601e-15 7.105427357601e-15 296.153846153846 0
+0 0 2 0 0 24 24 54 0 7.105427357601e-15 7.105427357601e-15 317.307692307692 0
+0 0 2 0 0 24 24 56 0 7.105427357601e-15 7.105427357601e-15 338.461538461538 0
+0 0 2 0 0 24 24 58 0 7.105427357601e-15 7.105427357601e-15 359.615384615385 0
+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 0
+0 0 2 0 0 24 24 62 0 7.105427357601e-15 7.105427357601e-15 401.923076923077 0
+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 0
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 0
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 0
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 0
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 0
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 0
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 2.64211013243105e-20
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 -1.98165777133735e-20
+4 0 1 0 0 24 24 20 15.8653846153846 0 0 -42.3076923076923 -1.68807558842794e-20
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 2.9547538277574e-20
+4 0 1 0 0 24 24 28 15.8653846153846 0 0 42.3076923076923 -1.68807558842794e-20
+4 0 1 0 0 24 24 32 15.8653846153846 0 0 84.6153846153846 -1.98165777133735e-20
+4 0 1 0 0 24 24 36 15.8653846153846 0 0 126.923076923077 2.64211013243105e-20
+4 0 1 0 0 24 24 40 15.8653846153846 0 0 169.230769230769 4.27349485573023e-21
+4 0 1 0 0 24 24 44 15.8653846153846 0 0 211.538461538462 2.02535383346791e-21
+4 0 1 0 0 24 24 48 15.8653846153846 0 0 253.846153846154 -1.17470139183694e-20
+4 0 1 0 0 24 24 52 15.8653846153846 0 0 296.153846153846 5.41199842868387e-21
+4 0 1 0 0 24 24 56 15.8653846153846 0 0 338.461538461538 -9.96234443350804e-22
+4 0 1 0 0 24 24 60 15.8653846153846 0 0 380.769230769231 3.89101032242286e-16
+4 0 1 0 0 24 24 64 15.8653846153846 0 0 423.076923076923 -4.16073869460335e-18
+4 0 1 0 0 24 24 68 15.8653846153846 0 0 465.384615384615 -3.89627731462188e-16
+4 0 1 0 0 24 24 72 15.8653846153846 0 0 507.692307692308 2.2121193834018e-22
+4 0 1 0 0 24 24 76 15.8653846153846 0 0 550 -7.60446122137644e-31
+4 0 1 0 0 24 24 80 15.8653846153846 0 0 592.307692307692 1.65555219087367e-31
+4 0 1 0 0 24 24 84 15.8653846153846 0 0 634.615384615385 0
+4 0 1 0 0 24 24 88 15.8653846153846 0 0 676.923076923077 0
+4 0 1 0 0 24 24 92 15.8653846153846 0 0 719.230769230769 0
+4 0 1 0 0 24 24 96 15.8653846153846 0 0 761.538461538462 9.82133595678565e-23
+4 0 1 0 0 24 24 100 15.8653846153846 0 0 803.846153846154 -1.14192908093673e-21
+4 0 1 0 0 24 24 104 15.8653846153846 0 0 846.153846153846 -1.51604096102662e-17
+4 0 1 0 0 24 24 108 15.8653846153846 0 0 888.461538461538 -1.03536014127707e-21
+4 0 1 0 0 24 24 112 15.8653846153846 0 0 930.769230769231 1.68604826699705e-17
+4 0 1 0 0 24 24 116 15.8653846153846 0 0 973.076923076923 -1.77466207599911e-23
+4 0 1 0 0 24 24 120 15.8653846153846 0 0 1015.38461538462 -1.68927194514626e-18
+4 0 1 0 0 24 24 124 15.8653846153846 0 0 1057.69230769231 7.76198466303257e-25
+4 0 1 0 0 24 24 128 15.8653846153846 0 0 1100 1.04410259868906e-24
+4 0 1 0 0 24 24 132 15.8653846153846 0 0 1142.30769230769 -1.56215436123106e-24
+4 0 1 0 0 24 24 136 15.8653846153846 0 0 1184.61538461538 -1.10760703427975e-24
+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 24 18 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 -4.48311889521253e-20
+4 0 2 0 0 24 24 20 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 2.67058063769571e-20
+4 0 2 0 0 24 24 22 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.11471439793288e-19
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 7.49407463918635e-21
+4 0 2 0 0 24 24 26 15.8653846153846 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.11471439793288e-19
+4 0 2 0 0 24 24 28 15.8653846153846 7.105427357601e-15 7.105427357601e-15 42.3076923076923 2.67058063769571e-20
+4 0 2 0 0 24 24 30 15.8653846153846 7.105427357601e-15 7.105427357601e-15 63.4615384615385 -4.48311889521253e-20
+4 0 2 0 0 24 24 32 15.8653846153846 7.105427357601e-15 7.105427357601e-15 84.6153846153846 -3.13645131898459e-20
+4 0 2 0 0 24 24 34 15.8653846153846 7.105427357601e-15 7.105427357601e-15 105.769230769231 3.36923921532719e-20
+4 0 2 0 0 24 24 36 15.8653846153846 7.105427357601e-15 7.105427357601e-15 126.923076923077 -2.20821966196848e-20
+4 0 2 0 0 24 24 38 15.8653846153846 7.105427357601e-15 7.105427357601e-15 148.076923076923 -8.05897932790119e-21
+4 0 2 0 0 24 24 40 15.8653846153846 7.105427357601e-15 7.105427357601e-15 169.230769230769 -1.43910492587504e-20
+4 0 2 0 0 24 24 42 15.8653846153846 7.105427357601e-15 7.105427357601e-15 190.384615384615 -1.01392035503537e-19
+4 0 2 0 0 24 24 44 15.8653846153846 7.105427357601e-15 7.105427357601e-15 211.538461538462 2.12470160360055e-20
+4 0 2 0 0 24 24 46 15.8653846153846 7.105427357601e-15 7.105427357601e-15 232.692307692308 4.19910794071427e-20
+4 0 2 0 0 24 24 48 15.8653846153846 7.105427357601e-15 7.105427357601e-15 253.846153846154 -2.92888998673643e-20
+4 0 2 0 0 24 24 50 15.8653846153846 7.105427357601e-15 7.105427357601e-15 275 -3.52258386303691e-20
+4 0 2 0 0 24 24 52 15.8653846153846 7.105427357601e-15 7.105427357601e-15 296.153846153846 8.33913337125552e-21
+4 0 2 0 0 24 24 54 15.8653846153846 7.105427357601e-15 7.105427357601e-15 317.307692307692 -8.65018338238381e-21
+4 0 2 0 0 24 24 56 15.8653846153846 7.105427357601e-15 7.105427357601e-15 338.461538461538 4.55159665009428e-20
+4 0 2 0 0 24 24 58 15.8653846153846 7.105427357601e-15 7.105427357601e-15 359.615384615385 8.43272852665745e-20
+4 0 2 0 0 24 24 60 15.8653846153846 7.105427357601e-15 7.105427357601e-15 380.769230769231 3.1289010178107e-17
+4 0 2 0 0 24 24 62 15.8653846153846 7.105427357601e-15 7.105427357601e-15 401.923076923077 7.78552223492596e-16
+4 0 2 0 0 24 24 64 15.8653846153846 7.105427357601e-15 7.105427357601e-15 423.076923076923 3.73568888913979e-16
+4 0 2 0 0 24 24 66 15.8653846153846 7.105427357601e-15 7.105427357601e-15 444.230769230769 -7.82514742952239e-16
+4 0 2 0 0 24 24 68 15.8653846153846 7.105427357601e-15 7.105427357601e-15 465.384615384615 -4.86825274184603e-16
+4 0 2 0 0 24 24 70 15.8653846153846 7.105427357601e-15 7.105427357601e-15 486.538461538462 4.03881818557172e-19
+4 0 2 0 0 24 24 72 15.8653846153846 7.105427357601e-15 7.105427357601e-15 507.692307692308 4.86883086258621e-17
+4 0 2 0 0 24 24 74 15.8653846153846 7.105427357601e-15 7.105427357601e-15 528.846153846154 -6.12044817418537e-22
+4 0 2 0 0 24 24 76 15.8653846153846 7.105427357601e-15 7.105427357601e-15 550 -2.76421521831307e-23
+4 0 2 0 0 24 24 78 15.8653846153846 7.105427357601e-15 7.105427357601e-15 571.153846153846 -5.37117034436617e-23
+4 0 2 0 0 24 24 80 15.8653846153846 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.65556924168263e-31
+4 0 2 0 0 24 24 82 15.8653846153846 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 24 0 31.7307692307692 0 0 -253.846153846154 4.22622070636254e-21
+8 0 0 0 0 24 24 8 31.7307692307692 0 0 -169.230769230769 1.53359866402645e-21
+8 0 0 0 0 24 24 16 31.7307692307692 0 0 -84.6153846153846 2.6644133773275e-21
+8 0 0 0 0 24 24 24 31.7307692307692 0 0 0 -7.61755514724775e-21
+8 0 0 0 0 24 24 32 31.7307692307692 0 0 84.6153846153846 2.6644133773275e-21
+8 0 0 0 0 24 24 40 31.7307692307692 0 0 169.230769230769 1.53359866402645e-21
+8 0 0 0 0 24 24 48 31.7307692307692 0 0 253.846153846154 4.22622070636254e-21
+8 0 0 0 0 24 24 56 31.7307692307692 0 0 338.461538461539 -3.80008608618761e-17
+8 0 0 0 0 24 24 64 31.7307692307692 0 0 423.076923076923 5.66205523481094e-19
+8 0 0 0 0 24 24 72 31.7307692307692 0 0 507.692307692308 3.81031186507022e-17
+8 0 0 0 0 24 24 80 31.7307692307692 0 0 592.307692307692 -2.68275801778805e-19
+8 0 0 0 0 24 24 88 31.7307692307692 0 0 676.923076923077 3.4271645600976e-24
+8 0 0 0 0 24 24 96 31.7307692307692 0 0 761.538461538462 -3.43909667699019e-17
+8 0 0 0 0 24 24 104 31.7307692307692 0 0 846.153846153846 1.17733482473718e-18
+8 0 0 0 0 24 24 112 31.7307692307692 0 0 930.769230769231 3.44505502183224e-17
+8 0 0 0 0 24 24 120 31.7307692307692 0 0 1015.38461538462 -4.44326837270747e-24
+8 0 0 0 0 24 24 128 31.7307692307692 0 0 1100 0
+8 0 0 0 0 24 24 136 31.7307692307692 0 0 1184.61538461538 0
+8 0 0 0 0 24 24 144 31.7307692307692 0 0 1269.23076923077 2.55195569562785e-31
+8 0 0 0 0 24 24 152 31.7307692307692 0 0 1353.84615384615 0
+8 0 0 0 0 24 24 160 31.7307692307692 0 0 1438.46153846154 0
+8 0 0 0 0 24 24 168 31.7307692307692 0 0 1523.07692307692 2.15740444713518e-36
+8 0 0 0 0 24 24 176 31.7307692307692 0 0 1607.69230769231 -5.22563125781293e-36
+8 0 0 0 0 24 24 184 31.7307692307692 0 0 1692.30769230769 6.43406668901957e-37
+8 0 0 0 0 24 24 192 31.7307692307692 0 0 1776.92307692308 0
+8 0 0 0 0 24 24 200 31.7307692307692 0 0 1861.53846153846 0
+8 0 0 0 0 24 24 208 31.7307692307692 0 0 1946.15384615385 0
+8 0 0 0 0 24 24 216 31.7307692307692 0 0 2030.76923076923 0
+8 0 0 0 0 24 24 224 31.7307692307692 0 0 2115.38461538462 0
+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 0
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 24 12 31.7307692307692 0 0 -126.923076923077 6.37385985757002e-21
+8 0 1 0 0 24 24 16 31.7307692307692 0 0 -84.6153846153846 -7.31721756395476e-21
+8 0 1 0 0 24 24 20 31.7307692307692 0 0 -42.3076923076923 4.25722059917748e-21
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+8 0 1 0 0 24 24 28 31.7307692307692 0 0 42.3076923076923 4.25722059917748e-21
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 24 82 31.7307692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 0
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 -3.44789889128195e-18
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+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 24 184 63.4615384615385 0 0 1692.30769230769 5.27914433059635e-37
+16 0 0 0 0 24 24 192 63.4615384615385 0 0 1776.92307692308 2.84979682059373e-34
+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 5.18517360908741e-37
+16 0 0 0 0 24 24 208 63.4615384615385 0 0 1946.15384615385 6.79215714068813e-42
+16 0 0 0 0 24 24 216 63.4615384615385 0 0 2030.76923076923 0
+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 0
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 -4.74445329756846e-21
+16 0 1 0 0 24 24 16 63.4615384615385 0 0 -84.6153846153846 1.62227723261634e-20
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+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 24 132 111.057692307692 0 0 1142.30769230769 7.8309547144721e-20
+28 0 1 0 0 24 24 136 111.057692307692 0 0 1184.61538461538 -1.86880631731541e-20
+28 0 1 0 0 24 24 140 111.057692307692 0 0 1226.92307692308 0
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 24 24 18 111.057692307692 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 2.42861771860111e-19
+28 0 2 0 0 24 24 20 111.057692307692 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.16363635699307e-19
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+28 0 2 0 0 24 24 26 111.057692307692 7.105427357601e-15 7.105427357601e-15 21.1538461538462 4.78781712350053e-20
+28 0 2 0 0 24 24 28 111.057692307692 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.16363635699307e-19
+28 0 2 0 0 24 24 30 111.057692307692 7.105427357601e-15 7.105427357601e-15 63.4615384615385 2.42861771860111e-19
+28 0 2 0 0 24 24 32 111.057692307692 7.105427357601e-15 7.105427357601e-15 84.6153846153846 2.42247755791148e-19
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+28 0 2 0 0 24 24 38 111.057692307692 7.105427357601e-15 7.105427357601e-15 148.076923076923 -9.33546342332985e-20
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+28 0 2 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 -1.84863713522747e-20
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+28 0 2 0 0 24 24 56 111.057692307692 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.18029020209779e-17
+28 0 2 0 0 24 24 58 111.057692307692 7.105427357601e-15 7.105427357601e-15 359.615384615385 2.11399812494275e-16
+28 0 2 0 0 24 24 60 111.057692307692 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.58251636336824e-16
+28 0 2 0 0 24 24 62 111.057692307692 7.105427357601e-15 7.105427357601e-15 401.923076923077 -2.4563612904671e-16
+28 0 2 0 0 24 24 64 111.057692307692 7.105427357601e-15 7.105427357601e-15 423.076923076923 -2.05439888637537e-16
+28 0 2 0 0 24 24 66 111.057692307692 7.105427357601e-15 7.105427357601e-15 444.230769230769 6.95588644495533e-17
+28 0 2 0 0 24 24 68 111.057692307692 7.105427357601e-15 7.105427357601e-15 465.384615384615 3.04221537525469e-17
+28 0 2 0 0 24 24 70 111.057692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 -3.71059518816322e-17
+28 0 2 0 0 24 24 72 111.057692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 -3.48498173762432e-18
+28 0 2 0 0 24 24 74 111.057692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 3.78904915791032e-17
+28 0 2 0 0 24 24 76 111.057692307692 7.105427357601e-15 7.105427357601e-15 550 2.38223304542429e-17
+28 0 2 0 0 24 24 78 111.057692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 2.73278260997321e-19
+28 0 2 0 0 24 24 80 111.057692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 -3.16757870956704e-18
+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 24 24 21 111.057692307692 7.105427357601e-15 7.105427357601e-15 -31.7307692307692 1.07870372649319e-19
+28 0 3 0 0 24 24 22 111.057692307692 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 7.84378595477655e-20
+28 0 3 0 0 24 24 23 111.057692307692 7.105427357601e-15 7.105427357601e-15 -10.5769230769231 2.10785322527183e-19
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+28 0 3 0 0 24 24 25 111.057692307692 7.105427357601e-15 7.105427357601e-15 10.5769230769231 2.10785322527183e-19
+28 0 3 0 0 24 24 26 111.057692307692 7.105427357601e-15 7.105427357601e-15 21.1538461538462 7.84378595477655e-20
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+28 0 3 0 0 24 24 28 111.057692307692 7.105427357601e-15 7.105427357601e-15 42.3076923076923 2.37767566201946e-19
+28 0 3 0 0 24 24 29 111.057692307692 7.105427357601e-15 7.105427357601e-15 52.8846153846154 9.52626021303759e-20
+28 0 3 0 0 24 24 30 111.057692307692 7.105427357601e-15 7.105427357601e-15 63.4615384615385 -1.48997414215186e-20
+28 0 3 0 0 24 24 31 111.057692307692 7.105427357601e-15 7.105427357601e-15 74.0384615384616 1.89875646989795e-19
+28 0 3 0 0 24 24 32 111.057692307692 7.105427357601e-15 7.105427357601e-15 84.6153846153846 2.72963240358126e-19
+28 0 3 0 0 24 24 33 111.057692307692 7.105427357601e-15 7.105427357601e-15 95.1923076923077 4.65088862412394e-21
+28 0 3 0 0 24 24 34 111.057692307692 7.105427357601e-15 7.105427357601e-15 105.769230769231 -2.29474786163144e-19
+28 0 3 0 0 24 24 35 111.057692307692 7.105427357601e-15 7.105427357601e-15 116.346153846154 -1.59563278273007e-19
+28 0 3 0 0 24 24 36 111.057692307692 7.105427357601e-15 7.105427357601e-15 126.923076923077 4.03137506947364e-20
+28 0 3 0 0 24 24 37 111.057692307692 7.105427357601e-15 7.105427357601e-15 137.5 1.6441287287533e-19
+28 0 3 0 0 24 24 38 111.057692307692 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.47360066258077e-19
+28 0 3 0 0 24 24 39 111.057692307692 7.105427357601e-15 7.105427357601e-15 158.653846153846 -1.09214939144717e-19
+28 0 3 0 0 24 24 40 111.057692307692 7.105427357601e-15 7.105427357601e-15 169.230769230769 -3.22735264124023e-19
+28 0 3 0 0 24 24 41 111.057692307692 7.105427357601e-15 7.105427357601e-15 179.807692307692 -2.61133928245261e-19
+28 0 3 0 0 24 24 42 111.057692307692 7.105427357601e-15 7.105427357601e-15 190.384615384615 -4.65329527882964e-20
+28 0 3 0 0 24 24 43 111.057692307692 7.105427357601e-15 7.105427357601e-15 200.961538461539 -1.05531864750325e-19
+28 0 3 0 0 24 24 44 111.057692307692 7.105427357601e-15 7.105427357601e-15 211.538461538462 -1.50682964044178e-19
+28 0 3 0 0 24 24 45 111.057692307692 7.105427357601e-15 7.105427357601e-15 222.115384615385 8.37427640825218e-20
+28 0 3 0 0 24 24 46 111.057692307692 7.105427357601e-15 7.105427357601e-15 232.692307692308 3.18526011251809e-19
+28 0 3 0 0 24 24 47 111.057692307692 7.105427357601e-15 7.105427357601e-15 243.269230769231 5.53056051884205e-19
+28 0 3 0 0 24 24 48 111.057692307692 7.105427357601e-15 7.105427357601e-15 253.846153846154 9.00987966998542e-19
+28 0 3 0 0 24 24 49 111.057692307692 7.105427357601e-15 7.105427357601e-15 264.423076923077 8.69817803349498e-19
+28 0 3 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 9.4391590380112e-19
+28 0 3 0 0 24 24 51 111.057692307692 7.105427357601e-15 7.105427357601e-15 285.576923076923 -1.0180930851696e-18
+28 0 3 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 -7.24591632489435e-18
+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momy_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/momy_maximum.xg
new file mode 100644
index 000000000..a2f397fa8
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momy_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMCONSTRAINTS::momy
+"momy v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 2.0924195474376e-10
+1.5865384615385e+01 1.6521608877039e-10
+2.3798076923077e+01 2.8179297898787e-10
+3.1730769230769e+01 3.7692569323799e-11
+3.9663461538462e+01 2.1669857237909e-10
+4.7596153846154e+01 1.2942000727099e-10
+5.5528846153846e+01 3.3972497119518e-10
+6.3461538461538e+01 4.8816515311114e-11
+7.1394230769231e+01 2.2259827798101e-10
+7.5360576923077e+01 6.3661022228982e-10
+7.9326923076923e+01 1.3740863227078e-10
+8.3293269230769e+01 6.1994095908424e-10
+8.7259615384615e+01 2.0285899781912e-10
+9.1225961538462e+01 5.0014035123932e-10
+9.5192307692308e+01 4.2060281094238e-11
+9.9158653846154e+01 6.8537770420661e-10
+1.0312500000000e+02 2.1476079789031e-10
+1.0709134615385e+02 6.5046294157172e-10
+1.1105769230769e+02 6.3951376999956e-11
+1.1502403846154e+02 4.4875819884788e-10
+1.1899038461538e+02 2.5011756384340e-10
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momy_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/momy_minimum.xg
new file mode 100644
index 000000000..b14d19b5a
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momy_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMCONSTRAINTS::momy
+"momy v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 -2.0924195474376e-10
+1.5865384615385e+01 -1.4299326248690e-10
+2.3798076923077e+01 -3.3070531427697e-10
+3.1730769230769e+01 -3.6668970975688e-11
+3.9663461538462e+01 -2.8125543765814e-10
+4.7596153846154e+01 -1.2942000727099e-10
+5.5528846153846e+01 -2.3448887419197e-10
+6.3461538461538e+01 -4.8816515311114e-11
+7.1394230769231e+01 -1.9166970961737e-10
+7.5360576923077e+01 -7.5478500625201e-10
+7.9326923076923e+01 -1.3740863227078e-10
+8.3293269230769e+01 -6.7774924580796e-10
+8.7259615384615e+01 -2.5603686083235e-10
+9.1225961538462e+01 -5.5160127795976e-10
+9.5192307692308e+01 -4.2060281094238e-11
+9.9158653846154e+01 -5.1770703593030e-10
+1.0312500000000e+02 -2.0409627933401e-10
+1.0709134615385e+02 -5.5119832327005e-10
+1.1105769230769e+02 -6.1574303901013e-11
+1.1502403846154e+02 -4.7064648639090e-10
+1.1899038461538e+02 -1.6665410351210e-10
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momy_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/momy_norm1.xg
new file mode 100644
index 000000000..600e94aa8
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momy_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMCONSTRAINTS::momy
+"momy v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 2.8071125551261e-11
+1.5865384615385e+01 3.9261856205618e-12
+2.3798076923077e+01 2.4664405938576e-11
+3.1730769230769e+01 4.8909049707838e-13
+3.9663461538462e+01 2.0503114326644e-11
+4.7596153846154e+01 3.8637685680105e-12
+5.5528846153846e+01 1.9544854920783e-11
+6.3461538461538e+01 6.1851882442602e-13
+7.1394230769231e+01 1.6812529853388e-11
+7.5360576923077e+01 6.8872970333042e-11
+7.9326923076923e+01 3.7818520058771e-12
+8.3293269230769e+01 7.8741884660176e-11
+8.7259615384615e+01 1.7507371721008e-11
+9.1225961538462e+01 5.9054103980210e-11
+9.5192307692308e+01 6.6269721686489e-13
+9.9158653846154e+01 6.7829338673534e-11
+1.0312500000000e+02 1.6165946712876e-11
+1.0709134615385e+02 6.6350772245093e-11
+1.1105769230769e+02 3.3672153864784e-12
+1.1502403846154e+02 6.3898185422965e-11
+1.1899038461538e+02 1.4960172829640e-11
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momy_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/momy_norm2.xg
new file mode 100644
index 000000000..2b51151cd
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momy_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMCONSTRAINTS::momy
+"momy v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 4.7062346706808e-11
+1.5865384615385e+01 1.0765357656928e-11
+2.3798076923077e+01 3.9602491786422e-11
+3.1730769230769e+01 1.9988228438851e-12
+3.9663461538462e+01 3.1840144662696e-11
+4.7596153846154e+01 9.7079417892094e-12
+5.5528846153846e+01 3.2430205768321e-11
+6.3461538461538e+01 2.2814776672156e-12
+7.1394230769231e+01 2.7219551561650e-11
+7.5360576923077e+01 1.0849178169724e-10
+7.9326923076923e+01 8.6745613759092e-12
+8.3293269230769e+01 1.2046957975101e-10
+8.7259615384615e+01 2.8344022737452e-11
+9.1225961538462e+01 8.1250361925648e-11
+9.5192307692308e+01 1.9713520473228e-12
+9.9158653846154e+01 1.0084007327031e-10
+1.0312500000000e+02 2.6391010671384e-11
+1.0709134615385e+02 9.6435629940792e-11
+1.1105769230769e+02 6.2060434181271e-12
+1.1502403846154e+02 8.8015492448879e-11
+1.1899038461538e+02 2.3551338024366e-11
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momz.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/momz.x.asc
new file mode 100644
index 000000000..3f37b6624
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momz.x.asc
@@ -0,0 +1,864 @@
+# ADMCONSTRAINTS::momz x (momz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 0
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 0
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 0
+0 0 0 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 0 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 0 0 0 96 24 24 0 761.538461538462 0 0 0
+0 0 0 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 0 0 0 128 24 24 0 1100 0 0 0
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 0
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 0
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 0
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 0
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 0
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 0
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 0
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 0
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 0
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 0
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 0
+0 0 0 0 0 232 24 24 0 2200 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 0
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 0
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 0
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+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 2 0 0 82 24 24 15.8653846153846 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 0 24 24 31.7307692307692 -253.846153846154 0 0 2.85677070305255e-22
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+8 0 0 0 0 200 24 24 31.7307692307692 1861.53846153846 0 0 2.75658610844927e-38
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+8 0 0 0 0 224 24 24 31.7307692307692 2115.38461538462 0 0 0
+8 0 0 0 0 232 24 24 31.7307692307692 2200 0 0 0
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 12 24 24 31.7307692307692 -126.923076923077 0 0 2.94809669075736e-21
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+8 0 1 0 0 104 24 24 31.7307692307692 846.153846153846 0 0 -2.8443507269861e-17
+8 0 1 0 0 108 24 24 31.7307692307692 888.461538461538 0 0 6.97006702310437e-17
+8 0 1 0 0 112 24 24 31.7307692307692 930.769230769231 0 0 4.30413261157013e-17
+8 0 1 0 0 116 24 24 31.7307692307692 973.076923076923 0 0 -9.17663510360457e-20
+8 0 1 0 0 120 24 24 31.7307692307692 1015.38461538462 0 0 -4.30428688426951e-18
+8 0 1 0 0 124 24 24 31.7307692307692 1057.69230769231 0 0 1.02499949600869e-23
+8 0 1 0 0 128 24 24 31.7307692307692 1100 0 0 1.42219752609434e-23
+8 0 1 0 0 132 24 24 31.7307692307692 1142.30769230769 0 0 -2.80141279746261e-28
+8 0 1 0 0 136 24 24 31.7307692307692 1184.61538461538 0 0 -1.01640323822159e-24
+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 0
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 82 24 24 31.7307692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 12 24 24 47.5961538461538 -126.923076923077 0 0 2.0520982352139e-21
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+12 0 1 0 0 132 24 24 47.5961538461538 1142.30769230769 0 0 -4.01251085755825e-25
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+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 0
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 18 24 24 47.5961538461538 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 2.29646968346615e-20
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+12 0 2 0 0 68 24 24 47.5961538461538 465.384615384615 7.105427357601e-15 7.105427357601e-15 3.9076880737098e-16
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+12 0 2 0 0 74 24 24 47.5961538461538 528.846153846154 7.105427357601e-15 7.105427357601e-15 -1.1798635794843e-17
+12 0 2 0 0 76 24 24 47.5961538461538 550 7.105427357601e-15 7.105427357601e-15 -3.44859479960212e-18
+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 -2.67716034790853e-19
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+12 0 2 0 0 82 24 24 47.5961538461538 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 0 24 24 63.4615384615385 -253.846153846154 0 0 1.34144562403117e-18
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+16 0 0 0 0 192 24 24 63.4615384615385 1776.92307692308 0 0 -6.48754449747375e-34
+16 0 0 0 0 200 24 24 63.4615384615385 1861.53846153846 0 0 -4.86605368109019e-35
+16 0 0 0 0 208 24 24 63.4615384615385 1946.15384615385 0 0 1.44784678666813e-34
+16 0 0 0 0 216 24 24 63.4615384615385 2030.76923076923 0 0 1.63970479585067e-35
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+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 12 24 24 63.4615384615385 -126.923076923077 0 0 2.56214584636364e-21
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+16 0 1 0 0 108 24 24 63.4615384615385 888.461538461538 0 0 -3.05636219518863e-17
+16 0 1 0 0 112 24 24 63.4615384615385 930.769230769231 0 0 -1.53284286016491e-17
+16 0 1 0 0 116 24 24 63.4615384615385 973.076923076923 0 0 6.27747683286273e-18
+16 0 1 0 0 120 24 24 63.4615384615385 1015.38461538462 0 0 5.4815572301109e-18
+16 0 1 0 0 124 24 24 63.4615384615385 1057.69230769231 0 0 9.33270292207365e-20
+16 0 1 0 0 128 24 24 63.4615384615385 1100 0 0 -3.33411004050476e-19
+16 0 1 0 0 132 24 24 63.4615384615385 1142.30769230769 0 0 -1.06941947395593e-24
+16 0 1 0 0 136 24 24 63.4615384615385 1184.61538461538 0 0 -6.22703679149262e-21
+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 0
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
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+28 0 2 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 -8.31598494361888e-18
+28 0 2 0 0 54 24 24 111.057692307692 317.307692307692 7.105427357601e-15 7.105427357601e-15 -2.97441015363385e-17
+28 0 2 0 0 56 24 24 111.057692307692 338.461538461538 7.105427357601e-15 7.105427357601e-15 1.17341451507478e-17
+28 0 2 0 0 58 24 24 111.057692307692 359.615384615385 7.105427357601e-15 7.105427357601e-15 2.11455486158515e-16
+28 0 2 0 0 60 24 24 111.057692307692 380.769230769231 7.105427357601e-15 7.105427357601e-15 1.58570277026416e-16
+28 0 2 0 0 62 24 24 111.057692307692 401.923076923077 7.105427357601e-15 7.105427357601e-15 -2.45301883183652e-16
+28 0 2 0 0 64 24 24 111.057692307692 423.076923076923 7.105427357601e-15 7.105427357601e-15 -2.05389943178908e-16
+28 0 2 0 0 66 24 24 111.057692307692 444.230769230769 7.105427357601e-15 7.105427357601e-15 6.95397055756877e-17
+28 0 2 0 0 68 24 24 111.057692307692 465.384615384615 7.105427357601e-15 7.105427357601e-15 3.0400511805174e-17
+28 0 2 0 0 70 24 24 111.057692307692 486.538461538462 7.105427357601e-15 7.105427357601e-15 -3.71135646014994e-17
+28 0 2 0 0 72 24 24 111.057692307692 507.692307692308 7.105427357601e-15 7.105427357601e-15 -3.48655156088741e-18
+28 0 2 0 0 74 24 24 111.057692307692 528.846153846154 7.105427357601e-15 7.105427357601e-15 3.7891842783771e-17
+28 0 2 0 0 76 24 24 111.057692307692 550 7.105427357601e-15 7.105427357601e-15 2.3825895521284e-17
+28 0 2 0 0 78 24 24 111.057692307692 571.153846153846 7.105427357601e-15 7.105427357601e-15 2.75388920077943e-19
+28 0 2 0 0 80 24 24 111.057692307692 592.307692307692 7.105427357601e-15 7.105427357601e-15 -3.16716760899302e-18
+28 0 2 0 0 82 24 24 111.057692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 21 24 24 111.057692307692 -31.7307692307692 7.105427357601e-15 7.105427357601e-15 -3.04468479114438e-20
+28 0 3 0 0 22 24 24 111.057692307692 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 7.53871035562553e-20
+28 0 3 0 0 23 24 24 111.057692307692 -10.5769230769231 7.105427357601e-15 7.105427357601e-15 2.47875616539195e-20
+28 0 3 0 0 24 24 24 111.057692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 -4.6172727655495e-20
+28 0 3 0 0 25 24 24 111.057692307692 10.5769230769231 7.105427357601e-15 7.105427357601e-15 2.47875616539195e-20
+28 0 3 0 0 26 24 24 111.057692307692 21.1538461538462 7.105427357601e-15 7.105427357601e-15 7.53871035562553e-20
+28 0 3 0 0 27 24 24 111.057692307692 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -3.04468479114438e-20
+28 0 3 0 0 28 24 24 111.057692307692 42.3076923076923 7.105427357601e-15 7.105427357601e-15 3.17669492418293e-20
+28 0 3 0 0 29 24 24 111.057692307692 52.8846153846154 7.105427357601e-15 7.105427357601e-15 -2.53109781109049e-20
+28 0 3 0 0 30 24 24 111.057692307692 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -5.73689412369625e-20
+28 0 3 0 0 31 24 24 111.057692307692 74.0384615384616 7.105427357601e-15 7.105427357601e-15 -3.90596309945091e-20
+28 0 3 0 0 32 24 24 111.057692307692 84.6153846153846 7.105427357601e-15 7.105427357601e-15 5.61244805270952e-20
+28 0 3 0 0 33 24 24 111.057692307692 95.1923076923077 7.105427357601e-15 7.105427357601e-15 1.84834514785136e-20
+28 0 3 0 0 34 24 24 111.057692307692 105.769230769231 7.105427357601e-15 7.105427357601e-15 -4.75750725999645e-20
+28 0 3 0 0 35 24 24 111.057692307692 116.346153846154 7.105427357601e-15 7.105427357601e-15 9.64690010081891e-21
+28 0 3 0 0 36 24 24 111.057692307692 126.923076923077 7.105427357601e-15 7.105427357601e-15 5.96157514666993e-20
+28 0 3 0 0 37 24 24 111.057692307692 137.5 7.105427357601e-15 7.105427357601e-15 3.20208505530031e-20
+28 0 3 0 0 38 24 24 111.057692307692 148.076923076923 7.105427357601e-15 7.105427357601e-15 -5.89150880547833e-20
+28 0 3 0 0 39 24 24 111.057692307692 158.653846153846 7.105427357601e-15 7.105427357601e-15 -5.07646581679627e-20
+28 0 3 0 0 40 24 24 111.057692307692 169.230769230769 7.105427357601e-15 7.105427357601e-15 -5.3989963236541e-20
+28 0 3 0 0 41 24 24 111.057692307692 179.807692307692 7.105427357601e-15 7.105427357601e-15 -6.09176369087975e-20
+28 0 3 0 0 42 24 24 111.057692307692 190.384615384615 7.105427357601e-15 7.105427357601e-15 -9.67323747528321e-21
+28 0 3 0 0 43 24 24 111.057692307692 200.961538461539 7.105427357601e-15 7.105427357601e-15 2.65723790987099e-20
+28 0 3 0 0 44 24 24 111.057692307692 211.538461538462 7.105427357601e-15 7.105427357601e-15 -1.62245547360741e-20
+28 0 3 0 0 45 24 24 111.057692307692 222.115384615385 7.105427357601e-15 7.105427357601e-15 -7.49676277867966e-21
+28 0 3 0 0 46 24 24 111.057692307692 232.692307692308 7.105427357601e-15 7.105427357601e-15 5.93365099779195e-20
+28 0 3 0 0 47 24 24 111.057692307692 243.269230769231 7.105427357601e-15 7.105427357601e-15 1.76213950250041e-19
+28 0 3 0 0 48 24 24 111.057692307692 253.846153846154 7.105427357601e-15 7.105427357601e-15 4.76244968215338e-19
+28 0 3 0 0 49 24 24 111.057692307692 264.423076923077 7.105427357601e-15 7.105427357601e-15 5.88798951826113e-19
+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 9.20743476673658e-19
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 -7.01045115430501e-19
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 -6.65794385503788e-18
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momz.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/momz.y.asc
new file mode 100644
index 000000000..61ab85482
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momz.y.asc
@@ -0,0 +1,864 @@
+# ADMCONSTRAINTS::momz y (momz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 0
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 0
+0 0 0 0 0 24 16 24 0 0 -84.6153846153846 0 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 24 32 24 0 0 84.6153846153846 0 0
+0 0 0 0 0 24 40 24 0 0 169.230769230769 0 0
+0 0 0 0 0 24 48 24 0 0 253.846153846154 0 0
+0 0 0 0 0 24 56 24 0 0 338.461538461539 0 0
+0 0 0 0 0 24 64 24 0 0 423.076923076923 0 0
+0 0 0 0 0 24 72 24 0 0 507.692307692308 0 0
+0 0 0 0 0 24 80 24 0 0 592.307692307692 0 0
+0 0 0 0 0 24 88 24 0 0 676.923076923077 0 0
+0 0 0 0 0 24 96 24 0 0 761.538461538462 0 0
+0 0 0 0 0 24 104 24 0 0 846.153846153846 0 0
+0 0 0 0 0 24 112 24 0 0 930.769230769231 0 0
+0 0 0 0 0 24 120 24 0 0 1015.38461538462 0 0
+0 0 0 0 0 24 128 24 0 0 1100 0 0
+0 0 0 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 0 0 0 24 144 24 0 0 1269.23076923077 0 0
+0 0 0 0 0 24 152 24 0 0 1353.84615384615 0 0
+0 0 0 0 0 24 160 24 0 0 1438.46153846154 0 0
+0 0 0 0 0 24 168 24 0 0 1523.07692307692 0 0
+0 0 0 0 0 24 176 24 0 0 1607.69230769231 0 0
+0 0 0 0 0 24 184 24 0 0 1692.30769230769 0 0
+0 0 0 0 0 24 192 24 0 0 1776.92307692308 0 0
+0 0 0 0 0 24 200 24 0 0 1861.53846153846 0 0
+0 0 0 0 0 24 208 24 0 0 1946.15384615385 0 0
+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 0
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 0
+0 0 0 0 0 24 232 24 0 0 2200 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 0
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 0
+0 0 1 0 0 24 20 24 0 0 -42.3076923076923 0 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 24 28 24 0 0 42.3076923076923 0 0
+0 0 1 0 0 24 32 24 0 0 84.6153846153846 0 0
+0 0 1 0 0 24 36 24 0 0 126.923076923077 0 0
+0 0 1 0 0 24 40 24 0 0 169.230769230769 0 0
+0 0 1 0 0 24 44 24 0 0 211.538461538462 0 0
+0 0 1 0 0 24 48 24 0 0 253.846153846154 0 0
+0 0 1 0 0 24 52 24 0 0 296.153846153846 0 0
+0 0 1 0 0 24 56 24 0 0 338.461538461538 0 0
+0 0 1 0 0 24 60 24 0 0 380.769230769231 0 0
+0 0 1 0 0 24 64 24 0 0 423.076923076923 0 0
+0 0 1 0 0 24 68 24 0 0 465.384615384615 0 0
+0 0 1 0 0 24 72 24 0 0 507.692307692308 0 0
+0 0 1 0 0 24 76 24 0 0 550 0 0
+0 0 1 0 0 24 80 24 0 0 592.307692307692 0 0
+0 0 1 0 0 24 84 24 0 0 634.615384615385 0 0
+0 0 1 0 0 24 88 24 0 0 676.923076923077 0 0
+0 0 1 0 0 24 92 24 0 0 719.230769230769 0 0
+0 0 1 0 0 24 96 24 0 0 761.538461538462 0 0
+0 0 1 0 0 24 100 24 0 0 803.846153846154 0 0
+0 0 1 0 0 24 104 24 0 0 846.153846153846 0 0
+0 0 1 0 0 24 108 24 0 0 888.461538461538 0 0
+0 0 1 0 0 24 112 24 0 0 930.769230769231 0 0
+0 0 1 0 0 24 116 24 0 0 973.076923076923 0 0
+0 0 1 0 0 24 120 24 0 0 1015.38461538462 0 0
+0 0 1 0 0 24 124 24 0 0 1057.69230769231 0 0
+0 0 1 0 0 24 128 24 0 0 1100 0 0
+0 0 1 0 0 24 132 24 0 0 1142.30769230769 0 0
+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 18 24 0 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0
+0 0 2 0 0 24 20 24 0 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 0
+0 0 2 0 0 24 22 24 0 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 24 26 24 0 7.105427357601e-15 21.1538461538462 7.105427357601e-15 0
+0 0 2 0 0 24 28 24 0 7.105427357601e-15 42.3076923076923 7.105427357601e-15 0
+0 0 2 0 0 24 30 24 0 7.105427357601e-15 63.4615384615385 7.105427357601e-15 0
+0 0 2 0 0 24 32 24 0 7.105427357601e-15 84.6153846153846 7.105427357601e-15 0
+0 0 2 0 0 24 34 24 0 7.105427357601e-15 105.769230769231 7.105427357601e-15 0
+0 0 2 0 0 24 36 24 0 7.105427357601e-15 126.923076923077 7.105427357601e-15 0
+0 0 2 0 0 24 38 24 0 7.105427357601e-15 148.076923076923 7.105427357601e-15 0
+0 0 2 0 0 24 40 24 0 7.105427357601e-15 169.230769230769 7.105427357601e-15 0
+0 0 2 0 0 24 42 24 0 7.105427357601e-15 190.384615384615 7.105427357601e-15 0
+0 0 2 0 0 24 44 24 0 7.105427357601e-15 211.538461538462 7.105427357601e-15 0
+0 0 2 0 0 24 46 24 0 7.105427357601e-15 232.692307692308 7.105427357601e-15 0
+0 0 2 0 0 24 48 24 0 7.105427357601e-15 253.846153846154 7.105427357601e-15 0
+0 0 2 0 0 24 50 24 0 7.105427357601e-15 275 7.105427357601e-15 0
+0 0 2 0 0 24 52 24 0 7.105427357601e-15 296.153846153846 7.105427357601e-15 0
+0 0 2 0 0 24 54 24 0 7.105427357601e-15 317.307692307692 7.105427357601e-15 0
+0 0 2 0 0 24 56 24 0 7.105427357601e-15 338.461538461538 7.105427357601e-15 0
+0 0 2 0 0 24 58 24 0 7.105427357601e-15 359.615384615385 7.105427357601e-15 0
+0 0 2 0 0 24 60 24 0 7.105427357601e-15 380.769230769231 7.105427357601e-15 0
+0 0 2 0 0 24 62 24 0 7.105427357601e-15 401.923076923077 7.105427357601e-15 0
+0 0 2 0 0 24 64 24 0 7.105427357601e-15 423.076923076923 7.105427357601e-15 0
+0 0 2 0 0 24 66 24 0 7.105427357601e-15 444.230769230769 7.105427357601e-15 0
+0 0 2 0 0 24 68 24 0 7.105427357601e-15 465.384615384615 7.105427357601e-15 0
+0 0 2 0 0 24 70 24 0 7.105427357601e-15 486.538461538462 7.105427357601e-15 0
+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+0 0 2 0 0 24 74 24 0 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 0
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 -6.32703655703696e-21
+4 0 1 0 0 24 16 24 15.8653846153846 0 -84.6153846153846 0 -1.14353755775552e-20
+4 0 1 0 0 24 20 24 15.8653846153846 0 -42.3076923076923 0 1.71921932052181e-21
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 2.60280820151661e-20
+4 0 1 0 0 24 28 24 15.8653846153846 0 42.3076923076923 0 1.71921932052181e-21
+4 0 1 0 0 24 32 24 15.8653846153846 0 84.6153846153846 0 -1.14353755775552e-20
+4 0 1 0 0 24 36 24 15.8653846153846 0 126.923076923077 0 -6.32703655703696e-21
+4 0 1 0 0 24 40 24 15.8653846153846 0 169.230769230769 0 2.0563545358856e-20
+4 0 1 0 0 24 44 24 15.8653846153846 0 211.538461538462 0 9.33975577303062e-21
+4 0 1 0 0 24 48 24 15.8653846153846 0 253.846153846154 0 -2.89999552946974e-20
+4 0 1 0 0 24 52 24 15.8653846153846 0 296.153846153846 0 8.11664231716631e-21
+4 0 1 0 0 24 56 24 15.8653846153846 0 338.461538461538 0 1.0535299172022e-20
+4 0 1 0 0 24 60 24 15.8653846153846 0 380.769230769231 0 3.89112619005155e-16
+4 0 1 0 0 24 64 24 15.8653846153846 0 423.076923076923 0 -4.16857462301391e-18
+4 0 1 0 0 24 68 24 15.8653846153846 0 465.384615384615 0 -3.89625467093476e-16
+4 0 1 0 0 24 72 24 15.8653846153846 0 507.692307692308 0 9.78047619413173e-23
+4 0 1 0 0 24 76 24 15.8653846153846 0 550 0 -1.60040914668778e-29
+4 0 1 0 0 24 80 24 15.8653846153846 0 592.307692307692 0 1.99656631545769e-31
+4 0 1 0 0 24 84 24 15.8653846153846 0 634.615384615385 0 6.35891807170811e-29
+4 0 1 0 0 24 88 24 15.8653846153846 0 676.923076923077 0 1.34604739520763e-31
+4 0 1 0 0 24 92 24 15.8653846153846 0 719.230769230769 0 -1.60383495738573e-29
+4 0 1 0 0 24 96 24 15.8653846153846 0 761.538461538462 0 -1.86424904929146e-22
+4 0 1 0 0 24 100 24 15.8653846153846 0 803.846153846154 0 5.44115442703314e-22
+4 0 1 0 0 24 104 24 15.8653846153846 0 846.153846153846 0 -1.51597224000849e-17
+4 0 1 0 0 24 108 24 15.8653846153846 0 888.461538461538 0 -2.3333420094598e-21
+4 0 1 0 0 24 112 24 15.8653846153846 0 930.769230769231 0 1.68609554362997e-17
+4 0 1 0 0 24 116 24 15.8653846153846 0 973.076923076923 0 -4.02086573483113e-24
+4 0 1 0 0 24 120 24 15.8653846153846 0 1015.38461538462 0 -1.68929504754358e-18
+4 0 1 0 0 24 124 24 15.8653846153846 0 1057.69230769231 0 -6.02827660659018e-25
+4 0 1 0 0 24 128 24 15.8653846153846 0 1100 0 -6.69413706519619e-24
+4 0 1 0 0 24 132 24 15.8653846153846 0 1142.30769230769 0 -6.8010920325985e-24
+4 0 1 0 0 24 136 24 15.8653846153846 0 1184.61538461538 0 -2.93228261056331e-24
+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 18 24 15.8653846153846 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 -4.45927309546435e-20
+4 0 2 0 0 24 20 24 15.8653846153846 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 6.01870575474738e-21
+4 0 2 0 0 24 22 24 15.8653846153846 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 4.1122523392059e-21
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 9.94512128715998e-21
+4 0 2 0 0 24 26 24 15.8653846153846 7.105427357601e-15 21.1538461538462 7.105427357601e-15 4.1122523392059e-21
+4 0 2 0 0 24 28 24 15.8653846153846 7.105427357601e-15 42.3076923076923 7.105427357601e-15 6.01870575474738e-21
+4 0 2 0 0 24 30 24 15.8653846153846 7.105427357601e-15 63.4615384615385 7.105427357601e-15 -4.45927309546435e-20
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 82 24 31.7307692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 0
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 82 24 47.5961538461538 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 232 24 63.4615384615385 0 2200 0 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 0
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 24 70 24 63.4615384615385 7.105427357601e-15 486.538461538462 7.105427357601e-15 6.89273477744363e-17
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+16 0 2 0 0 24 82 24 63.4615384615385 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 140 24 79.3269230769231 0 1226.92307692308 0 0
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 2 0 0 24 82 24 95.1923076923077 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 24 47 24 95.1923076923077 7.105427357601e-15 243.269230769231 7.105427357601e-15 -2.54057634722457e-21
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+24 0 3 0 0 24 53 24 95.1923076923077 7.105427357601e-15 306.730769230769 7.105427357601e-15 0
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 108 24 111.057692307692 0 888.461538461538 0 -2.19310737588646e-17
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+28 0 1 0 0 24 120 24 111.057692307692 0 1015.38461538462 0 1.44828144785034e-18
+28 0 1 0 0 24 124 24 111.057692307692 0 1057.69230769231 0 1.03705345501195e-18
+28 0 1 0 0 24 128 24 111.057692307692 0 1100 0 8.06748821914346e-19
+28 0 1 0 0 24 132 24 111.057692307692 0 1142.30769230769 0 7.83104559499625e-20
+28 0 1 0 0 24 136 24 111.057692307692 0 1184.61538461538 0 -1.86864385256212e-20
+28 0 1 0 0 24 140 24 111.057692307692 0 1226.92307692308 0 0
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 24 18 24 111.057692307692 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 2.15763754418178e-20
+28 0 2 0 0 24 20 24 111.057692307692 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 -3.18510523803189e-20
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+28 0 2 0 0 24 66 24 111.057692307692 7.105427357601e-15 444.230769230769 7.105427357601e-15 6.95404543414793e-17
+28 0 2 0 0 24 68 24 111.057692307692 7.105427357601e-15 465.384615384615 7.105427357601e-15 3.04009787170382e-17
+28 0 2 0 0 24 70 24 111.057692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 -3.71138291561683e-17
+28 0 2 0 0 24 72 24 111.057692307692 7.105427357601e-15 507.692307692308 7.105427357601e-15 -3.48708288368553e-18
+28 0 2 0 0 24 74 24 111.057692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 3.78913149443712e-17
+28 0 2 0 0 24 76 24 111.057692307692 7.105427357601e-15 550 7.105427357601e-15 2.38255702089997e-17
+28 0 2 0 0 24 78 24 111.057692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 2.75273278142666e-19
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+28 0 2 0 0 24 82 24 111.057692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 37 24 111.057692307692 7.105427357601e-15 137.5 7.105427357601e-15 4.19592443316792e-20
+28 0 3 0 0 24 38 24 111.057692307692 7.105427357601e-15 148.076923076923 7.105427357601e-15 -5.85150959512007e-20
+28 0 3 0 0 24 39 24 111.057692307692 7.105427357601e-15 158.653846153846 7.105427357601e-15 -8.34296033263316e-20
+28 0 3 0 0 24 40 24 111.057692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 -5.21151592946183e-20
+28 0 3 0 0 24 41 24 111.057692307692 7.105427357601e-15 179.807692307692 7.105427357601e-15 8.98697156176377e-21
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+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 9.20559939924496e-19
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 -7.01366339016745e-19
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 -6.65852031523583e-18
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momz.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/momz.z.asc
new file mode 100644
index 000000000..f73d03ac7
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momz.z.asc
@@ -0,0 +1,864 @@
+# ADMCONSTRAINTS::momz z (momz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 -0
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 -0
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 -0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 0 0 0 24 24 48 0 0 0 253.846153846154 0
+0 0 0 0 0 24 24 56 0 0 0 338.461538461539 0
+0 0 0 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 0 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 0 0 0 24 24 80 0 0 0 592.307692307692 0
+0 0 0 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 0 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 0 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 0 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 0 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 0 0 0 24 24 128 0 0 0 1100 0
+0 0 0 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 0
+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 0
+0 0 0 0 0 24 24 160 0 0 0 1438.46153846154 0
+0 0 0 0 0 24 24 168 0 0 0 1523.07692307692 0
+0 0 0 0 0 24 24 176 0 0 0 1607.69230769231 0
+0 0 0 0 0 24 24 184 0 0 0 1692.30769230769 0
+0 0 0 0 0 24 24 192 0 0 0 1776.92307692308 0
+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 0
+0 0 0 0 0 24 24 208 0 0 0 1946.15384615385 0
+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 0
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 0
+0 0 0 0 0 24 24 232 0 0 0 2200 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 2 0 0 24 24 82 15.8653846153846 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 0
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 24 24 128 31.7307692307692 0 0 1100 1.02468091066144e-12
+8 0 1 0 0 24 24 132 31.7307692307692 0 0 1142.30769230769 1.98988040044159e-12
+8 0 1 0 0 24 24 136 31.7307692307692 0 0 1184.61538461538 1.47725434623345e-12
+8 0 1 0 0 24 24 140 31.7307692307692 0 0 1226.92307692308 0
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 24 18 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 9.89119437338667e-11
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+8 0 2 0 0 24 24 68 31.7307692307692 7.105427357601e-15 7.105427357601e-15 465.384615384615 -7.88677892978775e-11
+8 0 2 0 0 24 24 70 31.7307692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 2.28415684181439e-11
+8 0 2 0 0 24 24 72 31.7307692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 2.48695282237164e-11
+8 0 2 0 0 24 24 74 31.7307692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 5.78668202985932e-12
+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 -3.9749071045096e-12
+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 -1.88792134177594e-12
+8 0 2 0 0 24 24 80 31.7307692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 3.20019756184923e-11
+8 0 2 0 0 24 24 82 31.7307692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 24 12 47.5961538461538 0 0 -126.923076923077 5.11316772789881e-11
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+12 0 1 0 0 24 24 96 47.5961538461538 0 0 761.538461538462 2.1185342130311e-11
+12 0 1 0 0 24 24 100 47.5961538461538 0 0 803.846153846154 4.95228969130779e-13
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+12 0 1 0 0 24 24 108 47.5961538461538 0 0 888.461538461538 -1.43218051028459e-11
+12 0 1 0 0 24 24 112 47.5961538461538 0 0 930.769230769231 -4.84268869918022e-12
+12 0 1 0 0 24 24 116 47.5961538461538 0 0 973.076923076923 2.99875806275702e-12
+12 0 1 0 0 24 24 120 47.5961538461538 0 0 1015.38461538462 3.12345811864546e-12
+12 0 1 0 0 24 24 124 47.5961538461538 0 0 1057.69230769231 1.40968284275149e-12
+12 0 1 0 0 24 24 128 47.5961538461538 0 0 1100 2.02263876602331e-12
+12 0 1 0 0 24 24 132 47.5961538461538 0 0 1142.30769230769 2.68345385364421e-12
+12 0 1 0 0 24 24 136 47.5961538461538 0 0 1184.61538461538 1.98038655814366e-12
+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 0
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 24 18 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 5.10312074145015e-11
+12 0 2 0 0 24 24 20 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 -1.55525943506913e-10
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+12 0 2 0 0 24 24 28 47.5961538461538 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.55525943506913e-10
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+12 0 2 0 0 24 24 38 47.5961538461538 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.92191609198214e-11
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+12 0 2 0 0 24 24 50 47.5961538461538 7.105427357601e-15 7.105427357601e-15 275 -2.28648061506274e-11
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+12 0 2 0 0 24 24 54 47.5961538461538 7.105427357601e-15 7.105427357601e-15 317.307692307692 2.66475005513691e-11
+12 0 2 0 0 24 24 56 47.5961538461538 7.105427357601e-15 7.105427357601e-15 338.461538461538 -2.92924635538358e-10
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+12 0 2 0 0 24 24 60 47.5961538461538 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.38684511235775e-10
+12 0 2 0 0 24 24 62 47.5961538461538 7.105427357601e-15 7.105427357601e-15 401.923076923077 -1.484882417955e-10
+12 0 2 0 0 24 24 64 47.5961538461538 7.105427357601e-15 7.105427357601e-15 423.076923076923 -9.9764442677776e-11
+12 0 2 0 0 24 24 66 47.5961538461538 7.105427357601e-15 7.105427357601e-15 444.230769230769 -1.37596684079952e-11
+12 0 2 0 0 24 24 68 47.5961538461538 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.80746170517604e-11
+12 0 2 0 0 24 24 70 47.5961538461538 7.105427357601e-15 7.105427357601e-15 486.538461538462 2.69858036634634e-11
+12 0 2 0 0 24 24 72 47.5961538461538 7.105427357601e-15 7.105427357601e-15 507.692307692308 2.20582217544257e-11
+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 8.26290533040843e-12
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 -6.61453161016058e-12
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 -1.01362633907972e-11
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.07239601747754e-11
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 24 24 0 63.4615384615385 0 0 -253.846153846154 -8.45673723572041e-12
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+16 0 0 0 0 24 24 80 63.4615384615385 0 0 592.307692307692 5.80402984858222e-12
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+16 0 0 0 0 24 24 144 63.4615384615385 0 0 1269.23076923077 1.32876131981645e-12
+16 0 0 0 0 24 24 152 63.4615384615385 0 0 1353.84615384615 1.68283348827953e-12
+16 0 0 0 0 24 24 160 63.4615384615385 0 0 1438.46153846154 1.65949514083405e-12
+16 0 0 0 0 24 24 168 63.4615384615385 0 0 1523.07692307692 1.08224110652187e-12
+16 0 0 0 0 24 24 176 63.4615384615385 0 0 1607.69230769231 8.7398137803921e-13
+16 0 0 0 0 24 24 184 63.4615384615385 0 0 1692.30769230769 7.15764571321814e-13
+16 0 0 0 0 24 24 192 63.4615384615385 0 0 1776.92307692308 5.96536475002164e-13
+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 4.9281301897535e-13
+16 0 0 0 0 24 24 208 63.4615384615385 0 0 1946.15384615385 3.78148912169377e-13
+16 0 0 0 0 24 24 216 63.4615384615385 0 0 2030.76923076923 1.64882365987217e-12
+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 1.36305554351906e-12
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 9.01133365140836e-12
+16 0 1 0 0 24 24 16 63.4615384615385 0 0 -84.6153846153846 1.42705894204162e-11
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+16 0 1 0 0 24 24 48 63.4615384615385 0 0 253.846153846154 3.75220000007729e-11
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+16 0 1 0 0 24 24 68 63.4615384615385 0 0 465.384615384615 4.49468216725658e-11
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+16 0 1 0 0 24 24 76 63.4615384615385 0 0 550 1.02552314629696e-11
+16 0 1 0 0 24 24 80 63.4615384615385 0 0 592.307692307692 -6.39175978371858e-12
+16 0 1 0 0 24 24 84 63.4615384615385 0 0 634.615384615385 8.85359315675241e-12
+16 0 1 0 0 24 24 88 63.4615384615385 0 0 676.923076923077 1.70594564131219e-12
+16 0 1 0 0 24 24 92 63.4615384615385 0 0 719.230769230769 2.4017899440842e-12
+16 0 1 0 0 24 24 96 63.4615384615385 0 0 761.538461538462 1.09586473729176e-11
+16 0 1 0 0 24 24 100 63.4615384615385 0 0 803.846153846154 -5.99017862236447e-12
+16 0 1 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 -7.23183592759979e-12
+16 0 1 0 0 24 24 108 63.4615384615385 0 0 888.461538461538 -1.69666001140413e-11
+16 0 1 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 -8.28950712316049e-12
+16 0 1 0 0 24 24 116 63.4615384615385 0 0 973.076923076923 2.70086336267586e-12
+16 0 1 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 4.49908002063954e-12
+16 0 1 0 0 24 24 124 63.4615384615385 0 0 1057.69230769231 3.30224539674449e-12
+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 3.34433768097597e-12
+16 0 1 0 0 24 24 132 63.4615384615385 0 0 1142.30769230769 3.17611298484296e-12
+16 0 1 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 2.32651968913713e-12
+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 0
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 24 24 68 63.4615384615385 7.105427357601e-15 7.105427357601e-15 465.384615384615 5.73855900427042e-11
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+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.17991130832337e-11
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+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 1.17029996838782e-11
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 2.55834007420212e-12
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+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 24 112 79.3269230769231 0 0 930.769230769231 -8.26430048960715e-12
+20 0 1 0 0 24 24 116 79.3269230769231 0 0 973.076923076923 2.09664950491946e-12
+20 0 1 0 0 24 24 120 79.3269230769231 0 0 1015.38461538462 4.68136768338124e-12
+20 0 1 0 0 24 24 124 79.3269230769231 0 0 1057.69230769231 4.33950553343307e-12
+20 0 1 0 0 24 24 128 79.3269230769231 0 0 1100 4.12601095210156e-12
+20 0 1 0 0 24 24 132 79.3269230769231 0 0 1142.30769230769 3.47968135864357e-12
+20 0 1 0 0 24 24 136 79.3269230769231 0 0 1184.61538461538 2.72798237726201e-12
+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 0
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 24 24 18 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 -9.75428326708896e-11
+20 0 2 0 0 24 24 20 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 8.7655283542763e-11
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+20 0 2 0 0 24 24 72 79.3269230769231 7.105427357601e-15 7.105427357601e-15 507.692307692308 3.80956705848273e-12
+20 0 2 0 0 24 24 74 79.3269230769231 7.105427357601e-15 7.105427357601e-15 528.846153846154 2.02138744267473e-11
+20 0 2 0 0 24 24 76 79.3269230769231 7.105427357601e-15 7.105427357601e-15 550 2.35263387696726e-11
+20 0 2 0 0 24 24 78 79.3269230769231 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.4222373899908e-11
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+20 0 2 0 0 24 24 82 79.3269230769231 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 3 0 0 24 24 21 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -31.7307692307692 3.06131805103069e-12
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+20 0 3 0 0 24 24 37 79.3269230769231 7.105427357601e-15 7.105427357601e-15 137.5 5.25243751616239e-11
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+20 0 3 0 0 24 24 51 79.3269230769231 7.105427357601e-15 7.105427357601e-15 285.576923076923 2.78546589426038e-10
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+20 0 3 0 0 24 24 53 79.3269230769231 7.105427357601e-15 7.105427357601e-15 306.730769230769 0
+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 2 0 0 24 24 82 95.1923076923077 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 -8.52500745415676e-11
+28 0 2 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.95644641553108e-10
+28 0 2 0 0 24 24 54 111.057692307692 7.105427357601e-15 7.105427357601e-15 317.307692307692 1.778674440033e-11
+28 0 2 0 0 24 24 56 111.057692307692 7.105427357601e-15 7.105427357601e-15 338.461538461538 -1.91138671030121e-10
+28 0 2 0 0 24 24 58 111.057692307692 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.57545210962842e-11
+28 0 2 0 0 24 24 60 111.057692307692 7.105427357601e-15 7.105427357601e-15 380.769230769231 5.49069664655733e-11
+28 0 2 0 0 24 24 62 111.057692307692 7.105427357601e-15 7.105427357601e-15 401.923076923077 5.21059168272721e-11
+28 0 2 0 0 24 24 64 111.057692307692 7.105427357601e-15 7.105427357601e-15 423.076923076923 2.21713402541249e-11
+28 0 2 0 0 24 24 66 111.057692307692 7.105427357601e-15 7.105427357601e-15 444.230769230769 -2.34068666006494e-11
+28 0 2 0 0 24 24 68 111.057692307692 7.105427357601e-15 7.105427357601e-15 465.384615384615 -1.66571514317649e-11
+28 0 2 0 0 24 24 70 111.057692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 -5.03885454092027e-12
+28 0 2 0 0 24 24 72 111.057692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 -4.70731172797107e-12
+28 0 2 0 0 24 24 74 111.057692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 -6.33281468593581e-12
+28 0 2 0 0 24 24 76 111.057692307692 7.105427357601e-15 7.105427357601e-15 550 -1.62458280577512e-13
+28 0 2 0 0 24 24 78 111.057692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 5.6947965964979e-12
+28 0 2 0 0 24 24 80 111.057692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 6.53320474440005e-12
+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 24 24 21 111.057692307692 7.105427357601e-15 7.105427357601e-15 -31.7307692307692 -3.46949669188551e-10
+28 0 3 0 0 24 24 22 111.057692307692 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.99569845815052e-10
+28 0 3 0 0 24 24 23 111.057692307692 7.105427357601e-15 7.105427357601e-15 -10.5769230769231 4.6025462638764e-10
+28 0 3 0 0 24 24 24 111.057692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 -4.6172727655495e-20
+28 0 3 0 0 24 24 25 111.057692307692 7.105427357601e-15 7.105427357601e-15 10.5769230769231 -4.6025462638764e-10
+28 0 3 0 0 24 24 26 111.057692307692 7.105427357601e-15 7.105427357601e-15 21.1538461538462 -1.99569845815052e-10
+28 0 3 0 0 24 24 27 111.057692307692 7.105427357601e-15 7.105427357601e-15 31.7307692307692 3.46949669188551e-10
+28 0 3 0 0 24 24 28 111.057692307692 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.80822984171297e-10
+28 0 3 0 0 24 24 29 111.057692307692 7.105427357601e-15 7.105427357601e-15 52.8846153846154 -3.30396574745515e-10
+28 0 3 0 0 24 24 30 111.057692307692 7.105427357601e-15 7.105427357601e-15 63.4615384615385 -2.97789140455451e-10
+28 0 3 0 0 24 24 31 111.057692307692 7.105427357601e-15 7.105427357601e-15 74.0384615384616 -4.93500073935893e-11
+28 0 3 0 0 24 24 32 111.057692307692 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.13522721353986e-10
+28 0 3 0 0 24 24 33 111.057692307692 7.105427357601e-15 7.105427357601e-15 95.1923076923077 2.24607449110843e-10
+28 0 3 0 0 24 24 34 111.057692307692 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.08955771064676e-10
+28 0 3 0 0 24 24 35 111.057692307692 7.105427357601e-15 7.105427357601e-15 116.346153846154 -2.00850081804811e-11
+28 0 3 0 0 24 24 36 111.057692307692 7.105427357601e-15 7.105427357601e-15 126.923076923077 6.33329884493877e-11
+28 0 3 0 0 24 24 37 111.057692307692 7.105427357601e-15 7.105427357601e-15 137.5 1.93287349084566e-10
+28 0 3 0 0 24 24 38 111.057692307692 7.105427357601e-15 7.105427357601e-15 148.076923076923 7.94459276896775e-11
+28 0 3 0 0 24 24 39 111.057692307692 7.105427357601e-15 7.105427357601e-15 158.653846153846 -2.40221472469997e-10
+28 0 3 0 0 24 24 40 111.057692307692 7.105427357601e-15 7.105427357601e-15 169.230769230769 -1.02691835748726e-10
+28 0 3 0 0 24 24 41 111.057692307692 7.105427357601e-15 7.105427357601e-15 179.807692307692 1.80982246304666e-10
+28 0 3 0 0 24 24 42 111.057692307692 7.105427357601e-15 7.105427357601e-15 190.384615384615 -1.28128360742661e-10
+28 0 3 0 0 24 24 43 111.057692307692 7.105427357601e-15 7.105427357601e-15 200.961538461539 -2.82745970064583e-10
+28 0 3 0 0 24 24 44 111.057692307692 7.105427357601e-15 7.105427357601e-15 211.538461538462 5.28783784746361e-11
+28 0 3 0 0 24 24 45 111.057692307692 7.105427357601e-15 7.105427357601e-15 222.115384615385 6.76826695189098e-11
+28 0 3 0 0 24 24 46 111.057692307692 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.06745617920498e-10
+28 0 3 0 0 24 24 47 111.057692307692 7.105427357601e-15 7.105427357601e-15 243.269230769231 2.50268309892856e-11
+28 0 3 0 0 24 24 48 111.057692307692 7.105427357601e-15 7.105427357601e-15 253.846153846154 -7.02687900727374e-11
+28 0 3 0 0 24 24 49 111.057692307692 7.105427357601e-15 7.105427357601e-15 264.423076923077 -1.04017387695157e-10
+28 0 3 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 -1.15491180863987e-10
+28 0 3 0 0 24 24 51 111.057692307692 7.105427357601e-15 7.105427357601e-15 285.576923076923 -3.22999250225332e-11
+28 0 3 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 2.4116369553606e-10
+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 0
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momz_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/momz_maximum.xg
new file mode 100644
index 000000000..baec73907
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momz_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMCONSTRAINTS::momz
+"momz v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 2.0924195446227e-10
+1.5865384615385e+01 1.6521608866308e-10
+2.3798076923077e+01 2.8179297856824e-10
+3.1730769230769e+01 3.7692569380356e-11
+3.9663461538462e+01 2.1669857255554e-10
+4.7596153846154e+01 1.2942000699322e-10
+5.5528846153846e+01 3.3972497056915e-10
+6.3461538461538e+01 4.8816515340603e-11
+7.1394230769231e+01 2.2259827787302e-10
+7.5360576923077e+01 6.3661022035638e-10
+7.9326923076923e+01 1.3740863093881e-10
+8.3293269230769e+01 6.1994096330749e-10
+8.7259615384615e+01 2.0285899785352e-10
+9.1225961538462e+01 5.0014035203541e-10
+9.5192307692308e+01 4.2060290941431e-11
+9.9158653846154e+01 6.8537768132226e-10
+1.0312500000000e+02 2.1476096318304e-10
+1.0709134615385e+02 6.5046283348002e-10
+1.1105769230769e+02 6.3951229063906e-11
+1.1502403846154e+02 4.4875797235874e-10
+1.1899038461538e+02 2.5011756615536e-10
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momz_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/momz_minimum.xg
new file mode 100644
index 000000000..6d12a9e51
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momz_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMCONSTRAINTS::momz
+"momz v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 -2.0924195446227e-10
+1.5865384615385e+01 -1.4299326273340e-10
+2.3798076923077e+01 -3.3070531417845e-10
+3.1730769230769e+01 -3.6668970911705e-11
+3.9663461538462e+01 -2.8125543812225e-10
+4.7596153846154e+01 -1.2942000699322e-10
+5.5528846153846e+01 -2.3448887425183e-10
+6.3461538461538e+01 -4.8816515340603e-11
+7.1394230769231e+01 -1.9166971075224e-10
+7.5360576923077e+01 -7.5478500419508e-10
+7.9326923076923e+01 -1.3740863093881e-10
+8.3293269230769e+01 -6.7774922838818e-10
+8.7259615384615e+01 -2.5603686104617e-10
+9.1225961538462e+01 -5.5160130089832e-10
+9.5192307692308e+01 -4.2060290941431e-11
+9.9158653846154e+01 -5.1770691894756e-10
+1.0312500000000e+02 -2.0409649466100e-10
+1.0709134615385e+02 -5.5119829386507e-10
+1.1105769230769e+02 -6.1574290553828e-11
+1.1502403846154e+02 -4.7064640493272e-10
+1.1899038461538e+02 -1.6665400902360e-10
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momz_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/momz_norm1.xg
new file mode 100644
index 000000000..acc90235f
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momz_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMCONSTRAINTS::momz
+"momz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 2.8071125595340e-11
+1.5865384615385e+01 3.9261856218645e-12
+2.3798076923077e+01 2.4664406172142e-11
+3.1730769230769e+01 4.8909049666586e-13
+3.9663461538462e+01 2.0503113428758e-11
+4.7596153846154e+01 3.8637685650884e-12
+5.5528846153846e+01 1.9544855490589e-11
+6.3461538461538e+01 6.1851882425116e-13
+7.1394230769231e+01 1.6812530590354e-11
+7.5360576923077e+01 6.8872978335194e-11
+7.9326923076923e+01 3.7818521401353e-12
+8.3293269230769e+01 7.8741887268375e-11
+8.7259615384615e+01 1.7507372537903e-11
+9.1225961538462e+01 5.9054106942758e-11
+9.5192307692308e+01 6.6269722575554e-13
+9.9158653846154e+01 6.7829341744966e-11
+1.0312500000000e+02 1.6165948455313e-11
+1.0709134615385e+02 6.6350778224206e-11
+1.1105769230769e+02 3.3672155075292e-12
+1.1502403846154e+02 6.3898186595066e-11
+1.1899038461538e+02 1.4960174197425e-11
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/momz_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/momz_norm2.xg
new file mode 100644
index 000000000..f04283a63
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/momz_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label ADMCONSTRAINTS::momz
+"momz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 4.7062346710534e-11
+1.5865384615385e+01 1.0765357659636e-11
+2.3798076923077e+01 3.9602491864203e-11
+3.1730769230769e+01 1.9988228414866e-12
+3.9663461538462e+01 3.1840144394285e-11
+4.7596153846154e+01 9.7079417875369e-12
+5.5528846153846e+01 3.2430205854473e-11
+6.3461538461538e+01 2.2814776665302e-12
+7.1394230769231e+01 2.7219551939763e-11
+7.5360576923077e+01 1.0849178985710e-10
+7.9326923076923e+01 8.6745613887876e-12
+8.3293269230769e+01 1.2046958369373e-10
+8.7259615384615e+01 2.8344023095262e-11
+9.1225961538462e+01 8.1250357154249e-11
+9.5192307692308e+01 1.9713520708308e-12
+9.9158653846154e+01 1.0084007558002e-10
+1.0312500000000e+02 2.6391013594353e-11
+1.0709134615385e+02 9.6435631764686e-11
+1.1105769230769e+02 6.2060435196759e-12
+1.1502403846154e+02 8.8015501076176e-11
+1.1899038461538e+02 2.3551339224199e-11
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/press.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/press.x.asc
new file mode 100644
index 000000000..5503f6bcd
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/press.x.asc
@@ -0,0 +1,864 @@
+# WHISKY::press x (press)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 8.75091853184985e-12
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 1.16345465810313e-11
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 1.39188175040749e-11
+0 0 0 0 0 24 24 24 0 0 0 0 1.47960238332983e-11
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 1.39188175040749e-11
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 1.16345465810313e-11
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 8.75091853184984e-12
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 6.02213412500371e-12
+0 0 0 0 0 64 24 24 0 423.076923076923 0 0 3.86255520697951e-12
+0 0 0 0 0 72 24 24 0 507.692307692308 0 0 2.34804805078114e-12
+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 1.37208654061206e-12
+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 7.78714808697889e-13
+0 0 0 0 0 96 24 24 0 761.538461538462 0 0 4.32233131125593e-13
+0 0 0 0 0 104 24 24 0 846.153846153846 0 0 2.35562199867581e-13
+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 1.26195312561545e-13
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 6.63804567855213e-14
+0 0 0 0 0 128 24 24 0 1100 0 0 3.4163183420324e-14
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 1.71020032998865e-14
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 8.25317861691794e-15
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 3.79008404607929e-15
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 1.62476840854178e-15
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 6.31214909937306e-16
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 2.11579031005756e-16
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 5.58821032748178e-17
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 9.52640417159349e-18
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 5.68612337070165e-19
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 8.12238574671433e-20
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 8.12238574671433e-20
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 8.12238574671433e-20
+0 0 0 0 0 232 24 24 0 2200 0 0 8.12238574671433e-20
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 1.2906862367872e-11
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 1.39188175040749e-11
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 1.45713443306405e-11
+0 0 1 0 0 24 24 24 0 0 0 0 1.47960238332983e-11
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 1.45713443306405e-11
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 1.39188175040749e-11
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 1.2906862367872e-11
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 1.16345465810313e-11
+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 1.0214531888188e-11
+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 8.75091853184984e-12
+0 0 1 0 0 52 24 24 0 296.153846153846 0 0 7.33210382506185e-12
+0 0 1 0 0 56 24 24 0 338.461538461538 0 0 6.02213412500371e-12
+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 4.8598196244445e-12
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 3.86255520697951e-12
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 3.02888483448988e-12
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 2.34804805078114e-12
+0 0 1 0 0 76 24 24 0 550 0 0 1.80247825618249e-12
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 1.37208654061206e-12
+0 0 1 0 0 84 24 24 0 634.615384615385 0 0 1.0369461867871e-12
+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 7.78714808697889e-13
+0 0 1 0 0 92 24 24 0 719.230769230769 0 0 5.81595756072734e-13
+0 0 1 0 0 96 24 24 0 761.538461538462 0 0 4.32233131125593e-13
+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 3.19787110194357e-13
+0 0 1 0 0 104 24 24 0 846.153846153846 0 0 2.35562199867581e-13
+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 1.7880711523674e-13
+0 0 1 0 0 112 24 24 0 930.769230769231 0 0 1.26195312561545e-13
+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 9.51193054353443e-14
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 6.63804567855213e-14
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+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 1.2480935139425e-14
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 2 0 0 72 24 24 0 507.692307692308 7.105427357601e-15 7.105427357601e-15 2.34804805078114e-12
+0 0 2 0 0 74 24 24 0 528.846153846154 7.105427357601e-15 7.105427357601e-15 2.07090464893107e-12
+0 0 2 0 0 76 24 24 0 550 7.105427357601e-15 7.105427357601e-15 1.80247825618249e-12
+0 0 2 0 0 78 24 24 0 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.58372949213266e-12
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+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.20167202015878e-12
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 12 24 24 15.8653846153846 -126.923076923077 0 0 1.29062918301254e-11
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+4 0 1 0 0 100 24 24 15.8653846153846 803.846153846154 0 0 3.19777256056536e-13
+4 0 1 0 0 104 24 24 15.8653846153846 846.153846153846 0 0 2.35555422811212e-13
+4 0 1 0 0 108 24 24 15.8653846153846 888.461538461538 0 0 1.78796815193909e-13
+4 0 1 0 0 112 24 24 15.8653846153846 930.769230769231 0 0 1.26188702498917e-13
+4 0 1 0 0 116 24 24 15.8653846153846 973.076923076923 0 0 9.51145671381231e-14
+4 0 1 0 0 120 24 24 15.8653846153846 1015.38461538462 0 0 6.63774261610439e-14
+4 0 1 0 0 124 24 24 15.8653846153846 1057.69230769231 0 0 4.96178307457076e-14
+4 0 1 0 0 128 24 24 15.8653846153846 1100 0 0 3.41618157938946e-14
+4 0 1 0 0 132 24 24 15.8653846153846 1142.30769230769 0 0 2.52716656956526e-14
+4 0 1 0 0 136 24 24 15.8653846153846 1184.61538461538 0 0 1.71013937031372e-14
+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 1.24805061388978e-14
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 18 24 24 15.8653846153846 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.42944891163863e-11
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+4 0 2 0 0 28 24 24 15.8653846153846 42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.45706440822413e-11
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+4 0 2 0 0 68 24 24 15.8653846153846 465.384615384615 7.105427357601e-15 7.105427357601e-15 3.02870504074963e-12
+4 0 2 0 0 70 24 24 15.8653846153846 486.538461538462 7.105427357601e-15 7.105427357601e-15 2.68308242882369e-12
+4 0 2 0 0 72 24 24 15.8653846153846 507.692307692308 7.105427357601e-15 7.105427357601e-15 2.34792015865909e-12
+4 0 2 0 0 74 24 24 15.8653846153846 528.846153846154 7.105427357601e-15 7.105427357601e-15 2.07079572074314e-12
+4 0 2 0 0 76 24 24 15.8653846153846 550 7.105427357601e-15 7.105427357601e-15 1.80238754862661e-12
+4 0 2 0 0 78 24 24 15.8653846153846 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.58365230162618e-12
+4 0 2 0 0 80 24 24 15.8653846153846 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.37202233549836e-12
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 0 24 24 31.7307692307692 -253.846153846154 0 0 8.75022271728775e-12
+8 0 0 0 0 8 24 24 31.7307692307692 -169.230769230769 0 0 1.16335521211025e-11
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+8 0 0 0 0 48 24 24 31.7307692307692 253.846153846154 0 0 8.75022271728775e-12
+8 0 0 0 0 56 24 24 31.7307692307692 338.461538461539 0 0 6.02171162657317e-12
+8 0 0 0 0 64 24 24 31.7307692307692 423.076923076923 0 0 3.86232127893817e-12
+8 0 0 0 0 72 24 24 31.7307692307692 507.692307692308 0 0 2.347792310345e-12
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+8 0 0 0 0 88 24 24 31.7307692307692 676.923076923077 0 0 7.78653242308512e-13
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+8 0 0 0 0 144 24 24 31.7307692307692 1269.23076923077 0 0 8.2526476167763e-15
+8 0 0 0 0 152 24 24 31.7307692307692 1353.84615384615 0 0 3.78986039618324e-15
+8 0 0 0 0 160 24 24 31.7307692307692 1438.46153846154 0 0 1.62467906474108e-15
+8 0 0 0 0 168 24 24 31.7307692307692 1523.07692307692 0 0 6.31181825666641e-16
+8 0 0 0 0 176 24 24 31.7307692307692 1607.69230769231 0 0 2.11568160436992e-16
+8 0 0 0 0 184 24 24 31.7307692307692 1692.30769230769 0 0 5.58791683042517e-17
+8 0 0 0 0 192 24 24 31.7307692307692 1776.92307692308 0 0 9.52548573777946e-18
+8 0 0 0 0 200 24 24 31.7307692307692 1861.53846153846 0 0 5.68666351679856e-19
+8 0 0 0 0 208 24 24 31.7307692307692 1946.15384615385 0 0 8.12792107678387e-20
+8 0 0 0 0 216 24 24 31.7307692307692 2030.76923076923 0 0 8.12238576449476e-20
+8 0 0 0 0 224 24 24 31.7307692307692 2115.38461538462 0 0 8.12238574170189e-20
+8 0 0 0 0 232 24 24 31.7307692307692 2200 0 0 8.12238713768797e-20
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 12 24 24 31.7307692307692 -126.923076923077 0 0 1.29057323876145e-11
+8 0 1 0 0 16 24 24 31.7307692307692 -84.6153846153846 0 0 1.39175109675704e-11
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+8 0 1 0 0 36 24 24 31.7307692307692 126.923076923077 0 0 1.29057323876145e-11
+8 0 1 0 0 40 24 24 31.7307692307692 169.230769230769 0 0 1.16335521211025e-11
+8 0 1 0 0 44 24 24 31.7307692307692 211.538461538462 0 0 1.02136973419625e-11
+8 0 1 0 0 48 24 24 31.7307692307692 253.846153846154 0 0 8.75022271728775e-12
+8 0 1 0 0 52 24 24 31.7307692307692 296.153846153846 0 0 7.33155146414017e-12
+8 0 1 0 0 56 24 24 31.7307692307692 338.461538461538 0 0 6.02171162657317e-12
+8 0 1 0 0 60 24 24 31.7307692307692 380.769230769231 0 0 4.85949615070662e-12
+8 0 1 0 0 64 24 24 31.7307692307692 423.076923076923 0 0 3.86232127893817e-12
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+8 0 1 0 0 76 24 24 31.7307692307692 550 0 0 1.80229668214574e-12
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+8 0 1 0 0 84 24 24 31.7307692307692 634.615384615385 0 0 1.03685668325568e-12
+8 0 1 0 0 88 24 24 31.7307692307692 676.923076923077 0 0 7.78653242308512e-13
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+8 0 1 0 0 96 24 24 31.7307692307692 761.538461538462 0 0 4.32203654416378e-13
+8 0 1 0 0 100 24 24 31.7307692307692 803.846153846154 0 0 3.19767634275597e-13
+8 0 1 0 0 104 24 24 31.7307692307692 846.153846153846 0 0 2.35548666014935e-13
+8 0 1 0 0 108 24 24 31.7307692307692 888.461538461538 0 0 1.78793588976428e-13
+8 0 1 0 0 112 24 24 31.7307692307692 930.769230769231 0 0 1.26182094345045e-13
+8 0 1 0 0 116 24 24 31.7307692307692 973.076923076923 0 0 9.51098301835738e-14
+8 0 1 0 0 120 24 24 31.7307692307692 1015.38461538462 0 0 6.63743962029783e-14
+8 0 1 0 0 124 24 24 31.7307692307692 1057.69230769231 0 0 4.9615671265581e-14
+8 0 1 0 0 128 24 24 31.7307692307692 1100 0 0 3.41604485712903e-14
+8 0 1 0 0 132 24 24 31.7307692307692 1142.30769230769 0 0 2.52706955890663e-14
+8 0 1 0 0 136 24 24 31.7307692307692 1184.61538461538 0 0 1.71007842572264e-14
+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 1.24800772387671e-14
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 18 24 24 31.7307692307692 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.42938152134632e-11
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+8 0 2 0 0 76 24 24 31.7307692307692 550 7.105427357601e-15 7.105427357601e-15 1.80229668214574e-12
+8 0 2 0 0 78 24 24 31.7307692307692 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.58357491727542e-12
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 12 24 24 47.5961538461538 -126.923076923077 0 0 1.29051860654245e-11
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+12 0 1 0 0 36 24 24 47.5961538461538 126.923076923077 0 0 1.29051860654245e-11
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+12 0 1 0 0 44 24 24 47.5961538461538 211.538461538462 0 0 1.02132892250503e-11
+12 0 1 0 0 48 24 24 47.5961538461538 253.846153846154 0 0 8.74987918171413e-12
+12 0 1 0 0 52 24 24 47.5961538461538 296.153846153846 0 0 7.33127747320858e-12
+12 0 1 0 0 56 24 24 47.5961538461538 338.461538461538 0 0 6.02150130576745e-12
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+12 0 1 0 0 96 24 24 47.5961538461538 761.538461538462 0 0 4.32188588430742e-13
+12 0 1 0 0 100 24 24 47.5961538461538 803.846153846154 0 0 3.19758240250483e-13
+12 0 1 0 0 104 24 24 47.5961538461538 846.153846153846 0 0 2.35542108345545e-13
+12 0 1 0 0 108 24 24 47.5961538461538 888.461538461538 0 0 1.7878302017637e-13
+12 0 1 0 0 112 24 24 47.5961538461538 930.769230769231 0 0 1.26175195682952e-13
+12 0 1 0 0 116 24 24 47.5961538461538 973.076923076923 0 0 9.51049365298917e-14
+12 0 1 0 0 120 24 24 47.5961538461538 1015.38461538462 0 0 6.6371327303011e-14
+12 0 1 0 0 124 24 24 47.5961538461538 1057.69230769231 0 0 4.96134819235828e-14
+12 0 1 0 0 128 24 24 47.5961538461538 1100 0 0 3.41590599769624e-14
+12 0 1 0 0 132 24 24 47.5961538461538 1142.30769230769 0 0 2.52697099413126e-14
+12 0 1 0 0 136 24 24 47.5961538461538 1184.61538461538 0 0 1.7100164615998e-14
+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 1.24796410129512e-14
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 18 24 24 47.5961538461538 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.42931676321372e-11
+12 0 2 0 0 20 24 24 47.5961538461538 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.45693299039273e-11
+12 0 2 0 0 22 24 24 47.5961538461538 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.47383141925524e-11
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+12 0 2 0 0 26 24 24 47.5961538461538 21.1538461538462 7.105427357601e-15 7.105427357601e-15 1.47383141925524e-11
+12 0 2 0 0 28 24 24 47.5961538461538 42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.45693299039273e-11
+12 0 2 0 0 30 24 24 47.5961538461538 63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.42931676321372e-11
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+12 0 2 0 0 34 24 24 47.5961538461538 105.769230769231 7.105427357601e-15 7.105427357601e-15 1.34503117315042e-11
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+12 0 2 0 0 38 24 24 47.5961538461538 148.076923076923 7.105427357601e-15 7.105427357601e-15 1.22946340044823e-11
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+12 0 2 0 0 42 24 24 47.5961538461538 190.384615384615 7.105427357601e-15 7.105427357601e-15 1.09352807582087e-11
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+12 0 2 0 0 50 24 24 47.5961538461538 275 7.105427357601e-15 7.105427357601e-15 8.02952691036772e-12
+12 0 2 0 0 52 24 24 47.5961538461538 296.153846153846 7.105427357601e-15 7.105427357601e-15 7.33127747320858e-12
+12 0 2 0 0 54 24 24 47.5961538461538 317.307692307692 7.105427357601e-15 7.105427357601e-15 6.65921921367548e-12
+12 0 2 0 0 56 24 24 47.5961538461538 338.461538461538 7.105427357601e-15 7.105427357601e-15 6.02150130576745e-12
+12 0 2 0 0 58 24 24 47.5961538461538 359.615384615385 7.105427357601e-15 7.105427357601e-15 5.42062526686527e-12
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+12 0 2 0 0 64 24 24 47.5961538461538 423.076923076923 7.105427357601e-15 7.105427357601e-15 3.86220902857896e-12
+12 0 2 0 0 66 24 24 47.5961538461538 444.230769230769 7.105427357601e-15 7.105427357601e-15 3.43916015130587e-12
+12 0 2 0 0 68 24 24 47.5961538461538 465.384615384615 7.105427357601e-15 7.105427357601e-15 3.02834010578544e-12
+12 0 2 0 0 70 24 24 47.5961538461538 486.538461538462 7.105427357601e-15 7.105427357601e-15 2.68277323424553e-12
+12 0 2 0 0 72 24 24 47.5961538461538 507.692307692308 7.105427357601e-15 7.105427357601e-15 2.34766450266451e-12
+12 0 2 0 0 74 24 24 47.5961538461538 528.846153846154 7.105427357601e-15 7.105427357601e-15 2.07057767457467e-12
+12 0 2 0 0 76 24 24 47.5961538461538 550 7.105427357601e-15 7.105427357601e-15 1.8022056576831e-12
+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.5834973389204e-12
+12 0 2 0 0 80 24 24 47.5961538461538 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.37189324042916e-12
+12 0 2 0 0 82 24 24 47.5961538461538 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.20150866059114e-12
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 0 24 24 63.4615384615385 -253.846153846154 0 0 8.74953980933514e-12
+16 0 0 0 0 8 24 24 63.4615384615385 -169.230769230769 0 0 1.16326071189704e-11
+16 0 0 0 0 16 24 24 63.4615384615385 -84.6153846153846 0 0 1.39162852741669e-11
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+16 0 0 0 0 32 24 24 63.4615384615385 84.6153846153846 0 0 1.39162852741669e-11
+16 0 0 0 0 40 24 24 63.4615384615385 169.230769230769 0 0 1.16326071189704e-11
+16 0 0 0 0 48 24 24 63.4615384615385 253.846153846154 0 0 8.74953980933514e-12
+16 0 0 0 0 56 24 24 63.4615384615385 338.461538461539 0 0 6.02129138707578e-12
+16 0 0 0 0 64 24 24 63.4615384615385 423.076923076923 0 0 3.86209930154755e-12
+16 0 0 0 0 72 24 24 63.4615384615385 507.692307692308 0 0 2.34753670839951e-12
+16 0 0 0 0 80 24 24 63.4615384615385 592.307692307692 0 0 1.3718283326583e-12
+16 0 0 0 0 88 24 24 63.4615384615385 676.923076923077 0 0 7.78590798446604e-13
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+16 0 0 0 0 104 24 24 63.4615384615385 846.153846153846 0 0 2.35535587402749e-13
+16 0 0 0 0 112 24 24 63.4615384615385 930.769230769231 0 0 1.26168298513941e-13
+16 0 0 0 0 120 24 24 63.4615384615385 1015.38461538462 0 0 6.63682592605525e-14
+16 0 0 0 0 128 24 24 63.4615384615385 1100 0 0 3.41576717023868e-14
+16 0 0 0 0 136 24 24 63.4615384615385 1184.61538461538 0 0 1.70995451140289e-14
+16 0 0 0 0 144 24 24 63.4615384615385 1269.23076923077 0 0 8.25210731509649e-15
+16 0 0 0 0 152 24 24 63.4615384615385 1353.84615384615 0 0 3.78963262002124e-15
+16 0 0 0 0 160 24 24 63.4615384615385 1438.46153846154 0 0 1.62458797306457e-15
+16 0 0 0 0 168 24 24 63.4615384615385 1523.07692307692 0 0 6.31148055611692e-16
+16 0 0 0 0 176 24 24 63.4615384615385 1607.69230769231 0 0 2.11557045912368e-16
+16 0 0 0 0 184 24 24 63.4615384615385 1692.30769230769 0 0 5.58761533291067e-17
+16 0 0 0 0 192 24 24 63.4615384615385 1776.92307692308 0 0 9.52455942129224e-18
+16 0 0 0 0 200 24 24 63.4615384615385 1861.53846153846 0 0 5.68721570647405e-19
+16 0 0 0 0 208 24 24 63.4615384615385 1946.15384615385 0 0 8.13338115841003e-20
+16 0 0 0 0 216 24 24 63.4615384615385 2030.76923076923 0 0 8.12238581234816e-20
+16 0 0 0 0 224 24 24 63.4615384615385 2115.38461538462 0 0 8.12238571576028e-20
+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 8.12238753104076e-20
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 12 24 24 63.4615384615385 -126.923076923077 0 0 1.29046526108958e-11
+16 0 1 0 0 16 24 24 63.4615384615385 -84.6153846153846 0 0 1.39162852741669e-11
+16 0 1 0 0 20 24 24 63.4615384615385 -42.3076923076923 0 0 1.45687043963782e-11
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+16 0 1 0 0 28 24 24 63.4615384615385 42.3076923076923 0 0 1.45687043963782e-11
+16 0 1 0 0 32 24 24 63.4615384615385 84.6153846153846 0 0 1.39162852741669e-11
+16 0 1 0 0 36 24 24 63.4615384615385 126.923076923077 0 0 1.29046526108958e-11
+16 0 1 0 0 40 24 24 63.4615384615385 169.230769230769 0 0 1.16326071189704e-11
+16 0 1 0 0 44 24 24 63.4615384615385 211.538461538462 0 0 1.02128876550772e-11
+16 0 1 0 0 48 24 24 63.4615384615385 253.846153846154 0 0 8.74953980933514e-12
+16 0 1 0 0 52 24 24 63.4615384615385 296.153846153846 0 0 7.33100552353287e-12
+16 0 1 0 0 56 24 24 63.4615384615385 338.461538461538 0 0 6.02129138707578e-12
+16 0 1 0 0 60 24 24 63.4615384615385 380.769230769231 0 0 4.85917295196513e-12
+16 0 1 0 0 64 24 24 63.4615384615385 423.076923076923 0 0 3.86209930154755e-12
+16 0 1 0 0 68 24 24 63.4615384615385 465.384615384615 0 0 3.02815522219036e-12
+16 0 1 0 0 72 24 24 63.4615384615385 507.692307692308 0 0 2.34753670839951e-12
+16 0 1 0 0 76 24 24 63.4615384615385 550 0 0 1.80211446460721e-12
+16 0 1 0 0 80 24 24 63.4615384615385 592.307692307692 0 0 1.3718283326583e-12
+16 0 1 0 0 84 24 24 63.4615384615385 634.615384615385 0 0 1.03676616932619e-12
+16 0 1 0 0 88 24 24 63.4615384615385 676.923076923077 0 0 7.78590798446604e-13
+16 0 1 0 0 92 24 24 63.4615384615385 719.230769230769 0 0 5.81509295957464e-13
+16 0 1 0 0 96 24 24 63.4615384615385 761.538461538462 0 0 4.32173313997495e-13
+16 0 1 0 0 100 24 24 63.4615384615385 803.846153846154 0 0 3.19749069084192e-13
+16 0 1 0 0 104 24 24 63.4615384615385 846.153846153846 0 0 2.35535587402749e-13
+16 0 1 0 0 108 24 24 63.4615384615385 888.461538461538 0 0 1.7877996116867e-13
+16 0 1 0 0 112 24 24 63.4615384615385 930.769230769231 0 0 1.26168298513941e-13
+16 0 1 0 0 116 24 24 63.4615384615385 973.076923076923 0 0 9.51000442293277e-14
+16 0 1 0 0 120 24 24 63.4615384615385 1015.38461538462 0 0 6.63682592605525e-14
+16 0 1 0 0 124 24 24 63.4615384615385 1057.69230769231 0 0 4.96112931424553e-14
+16 0 1 0 0 128 24 24 63.4615384615385 1100 0 0 3.41576717023868e-14
+16 0 1 0 0 132 24 24 63.4615384615385 1142.30769230769 0 0 2.52687245115312e-14
+16 0 1 0 0 136 24 24 63.4615384615385 1184.61538461538 0 0 1.70995451140289e-14
+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 1.24792048803133e-14
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 1.24787614196254e-14
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 1 0 0 140 24 24 95.1923076923077 1226.92307692308 0 0 1.2478318046162e-14
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 21 24 24 111.057692307692 -31.7307692307692 7.105427357601e-15 7.105427357601e-15 1.46499462259062e-11
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+28 0 3 0 0 25 24 24 111.057692307692 10.5769230769231 7.105427357601e-15 7.105427357601e-15 1.47622539309309e-11
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+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 8.02837862103729e-12
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 7.67736719770672e-12
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+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 6.99229423773475e-12
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/press.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/press.y.asc
new file mode 100644
index 000000000..8ce610df6
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/press.y.asc
@@ -0,0 +1,864 @@
+# WHISKY::press y (press)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 8.75091853184985e-12
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 1.16345465810313e-11
+0 0 0 0 0 24 16 24 0 0 -84.6153846153846 0 1.39188175040749e-11
+0 0 0 0 0 24 24 24 0 0 0 0 1.47960238332983e-11
+0 0 0 0 0 24 32 24 0 0 84.6153846153846 0 1.39188175040749e-11
+0 0 0 0 0 24 40 24 0 0 169.230769230769 0 1.16345465810313e-11
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+0 0 0 0 0 24 152 24 0 0 1353.84615384615 0 3.79008404607929e-15
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+0 0 0 0 0 24 192 24 0 0 1776.92307692308 0 9.52640417159349e-18
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+0 0 0 0 0 24 208 24 0 0 1946.15384615385 0 8.12238574671433e-20
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+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 8.12238574671433e-20
+0 0 0 0 0 24 232 24 0 0 2200 0 8.12238574671433e-20
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 1.2906862367872e-11
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 1.39188175040749e-11
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+0 0 1 0 0 24 24 24 0 0 0 0 1.47960238332983e-11
+0 0 1 0 0 24 28 24 0 0 42.3076923076923 0 1.45713443306405e-11
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+0 0 1 0 0 24 44 24 0 0 211.538461538462 0 1.0214531888188e-11
+0 0 1 0 0 24 48 24 0 0 253.846153846154 0 8.75091853184984e-12
+0 0 1 0 0 24 52 24 0 0 296.153846153846 0 7.33210382506185e-12
+0 0 1 0 0 24 56 24 0 0 338.461538461538 0 6.02213412500371e-12
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+0 0 1 0 0 24 96 24 0 0 761.538461538462 0 4.32233131125593e-13
+0 0 1 0 0 24 100 24 0 0 803.846153846154 0 3.19787110194357e-13
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+0 0 1 0 0 24 108 24 0 0 888.461538461538 0 1.7880711523674e-13
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+0 0 1 0 0 24 116 24 0 0 973.076923076923 0 9.51193054353443e-14
+0 0 1 0 0 24 120 24 0 0 1015.38461538462 0 6.63804567855213e-14
+0 0 1 0 0 24 124 24 0 0 1057.69230769231 0 4.96199907625777e-14
+0 0 1 0 0 24 128 24 0 0 1100 0 3.4163183420324e-14
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+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 1.71020032998865e-14
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 1.2480935139425e-14
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 18 24 0 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.4295190424195e-11
+0 0 2 0 0 24 20 24 0 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 1.45713443306405e-11
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+0 0 2 0 0 24 30 24 0 7.105427357601e-15 63.4615384615385 7.105427357601e-15 1.4295190424195e-11
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+0 0 2 0 0 24 48 24 0 7.105427357601e-15 253.846153846154 7.105427357601e-15 8.75091853184984e-12
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+0 0 2 0 0 24 68 24 0 7.105427357601e-15 465.384615384615 7.105427357601e-15 3.02888483448988e-12
+0 0 2 0 0 24 70 24 0 7.105427357601e-15 486.538461538462 7.105427357601e-15 2.68323576515523e-12
+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 2.34804805078114e-12
+0 0 2 0 0 24 74 24 0 7.105427357601e-15 528.846153846154 7.105427357601e-15 2.07090464893107e-12
+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 1.80247825618249e-12
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.58372949213266e-12
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.37208654061206e-12
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.20167202015878e-12
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 1.24805061388978e-14
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 24 232 24 31.7307692307692 0 2200 0 8.12238713768797e-20
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 24 140 24 31.7307692307692 0 1226.92307692308 0 1.24800772387671e-14
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 76 24 31.7307692307692 7.105427357601e-15 550 7.105427357601e-15 1.80229668214574e-12
+8 0 2 0 0 24 78 24 31.7307692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.58357491727542e-12
+8 0 2 0 0 24 80 24 31.7307692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.37195790040876e-12
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 1.24796410129512e-14
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 70 24 47.5961538461538 7.105427357601e-15 486.538461538462 7.105427357601e-15 2.68277323424553e-12
+12 0 2 0 0 24 72 24 47.5961538461538 7.105427357601e-15 507.692307692308 7.105427357601e-15 2.34766450266451e-12
+12 0 2 0 0 24 74 24 47.5961538461538 7.105427357601e-15 528.846153846154 7.105427357601e-15 2.07057767457467e-12
+12 0 2 0 0 24 76 24 47.5961538461538 7.105427357601e-15 550 7.105427357601e-15 1.8022056576831e-12
+12 0 2 0 0 24 78 24 47.5961538461538 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.5834973389204e-12
+12 0 2 0 0 24 80 24 47.5961538461538 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.37189324042916e-12
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 232 24 63.4615384615385 0 2200 0 8.12238753104076e-20
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 1.24792048803133e-14
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 24 68 24 63.4615384615385 7.105427357601e-15 465.384615384615 7.105427357601e-15 3.02815522219036e-12
+16 0 2 0 0 24 70 24 63.4615384615385 7.105427357601e-15 486.538461538462 7.105427357601e-15 2.68261746946489e-12
+16 0 2 0 0 24 72 24 63.4615384615385 7.105427357601e-15 507.692307692308 7.105427357601e-15 2.34753670839951e-12
+16 0 2 0 0 24 74 24 63.4615384615385 7.105427357601e-15 528.846153846154 7.105427357601e-15 2.07046853859213e-12
+16 0 2 0 0 24 76 24 63.4615384615385 7.105427357601e-15 550 7.105427357601e-15 1.80211446460721e-12
+16 0 2 0 0 24 78 24 63.4615384615385 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.58341954798397e-12
+16 0 2 0 0 24 80 24 63.4615384615385 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.3718283326583e-12
+16 0 2 0 0 24 82 24 63.4615384615385 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.20145371884823e-12
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 2 0 0 24 82 24 95.1923076923077 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.20134299041426e-12
+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 24 47 24 95.1923076923077 7.105427357601e-15 243.269230769231 7.105427357601e-15 9.11219020779315e-12
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+24 0 3 0 0 24 50 24 95.1923076923077 7.105427357601e-15 275 7.105427357601e-15 8.02865620515345e-12
+24 0 3 0 0 24 51 24 95.1923076923077 7.105427357601e-15 285.576923076923 7.105427357601e-15 7.67763801774918e-12
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 140 24 111.057692307692 0 1226.92307692308 0 1.24778673429391e-14
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 8.02837862103619e-12
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 7.6773671977062e-12
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 7.33020479914796e-12
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 6.99229423773478e-12
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/press.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/press.z.asc
new file mode 100644
index 000000000..cc1dcb41b
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/press.z.asc
@@ -0,0 +1,864 @@
+# WHISKY::press z (press)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 3.02888483448988e-12
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 2.68323576515524e-12
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 2.34804805078114e-12
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 2.07090464893107e-12
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 1.80247825618249e-12
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.58372949213266e-12
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.37208654061206e-12
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.20167202015878e-12
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 1 0 0 24 24 104 15.8653846153846 0 0 846.153846153846 2.35555422811213e-13
+4 0 1 0 0 24 24 108 15.8653846153846 0 0 888.461538461538 1.78796815193909e-13
+4 0 1 0 0 24 24 112 15.8653846153846 0 0 930.769230769231 1.26188702498917e-13
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+4 0 1 0 0 24 24 128 15.8653846153846 0 0 1100 3.41618157938946e-14
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+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 1.24805061388978e-14
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 2 0 0 24 24 70 15.8653846153846 7.105427357601e-15 7.105427357601e-15 486.538461538462 2.68308242882369e-12
+4 0 2 0 0 24 24 72 15.8653846153846 7.105427357601e-15 7.105427357601e-15 507.692307692308 2.34792015865909e-12
+4 0 2 0 0 24 24 74 15.8653846153846 7.105427357601e-15 7.105427357601e-15 528.846153846154 2.07079572074314e-12
+4 0 2 0 0 24 24 76 15.8653846153846 7.105427357601e-15 7.105427357601e-15 550 1.80238754862661e-12
+4 0 2 0 0 24 24 78 15.8653846153846 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.58365230162618e-12
+4 0 2 0 0 24 24 80 15.8653846153846 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.37202233549836e-12
+4 0 2 0 0 24 24 82 15.8653846153846 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.20161781183618e-12
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 24 24 168 31.7307692307692 0 0 1523.07692307692 6.31181825666641e-16
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+8 0 0 0 0 24 24 184 31.7307692307692 0 0 1692.30769230769 5.58791683042517e-17
+8 0 0 0 0 24 24 192 31.7307692307692 0 0 1776.92307692308 9.52548573777947e-18
+8 0 0 0 0 24 24 200 31.7307692307692 0 0 1861.53846153846 5.68666351679856e-19
+8 0 0 0 0 24 24 208 31.7307692307692 0 0 1946.15384615385 8.12792107678387e-20
+8 0 0 0 0 24 24 216 31.7307692307692 0 0 2030.76923076923 8.12238576449476e-20
+8 0 0 0 0 24 24 224 31.7307692307692 0 0 2115.38461538462 8.12238574170189e-20
+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 8.12238713768797e-20
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 24 24 48 31.7307692307692 0 0 253.846153846154 8.75022271728775e-12
+8 0 1 0 0 24 24 52 31.7307692307692 0 0 296.153846153846 7.33155146414017e-12
+8 0 1 0 0 24 24 56 31.7307692307692 0 0 338.461538461538 6.02171162657317e-12
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+8 0 1 0 0 24 24 96 31.7307692307692 0 0 761.538461538462 4.32203654416379e-13
+8 0 1 0 0 24 24 100 31.7307692307692 0 0 803.846153846154 3.19767634275597e-13
+8 0 1 0 0 24 24 104 31.7307692307692 0 0 846.153846153846 2.35548666014936e-13
+8 0 1 0 0 24 24 108 31.7307692307692 0 0 888.461538461538 1.78793588976428e-13
+8 0 1 0 0 24 24 112 31.7307692307692 0 0 930.769230769231 1.26182094345045e-13
+8 0 1 0 0 24 24 116 31.7307692307692 0 0 973.076923076923 9.51098301835738e-14
+8 0 1 0 0 24 24 120 31.7307692307692 0 0 1015.38461538462 6.63743962029783e-14
+8 0 1 0 0 24 24 124 31.7307692307692 0 0 1057.69230769231 4.9615671265581e-14
+8 0 1 0 0 24 24 128 31.7307692307692 0 0 1100 3.41604485712903e-14
+8 0 1 0 0 24 24 132 31.7307692307692 0 0 1142.30769230769 2.52706955890663e-14
+8 0 1 0 0 24 24 136 31.7307692307692 0 0 1184.61538461538 1.71007842572264e-14
+8 0 1 0 0 24 24 140 31.7307692307692 0 0 1226.92307692308 1.24800772387671e-14
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 24 18 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.42938152134632e-11
+8 0 2 0 0 24 24 20 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.45699749211215e-11
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+8 0 2 0 0 24 24 38 31.7307692307692 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.22951422830909e-11
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+8 0 2 0 0 24 24 64 31.7307692307692 7.105427357601e-15 7.105427357601e-15 423.076923076923 3.86232127893817e-12
+8 0 2 0 0 24 24 66 31.7307692307692 7.105427357601e-15 7.105427357601e-15 444.230769230769 3.43930924588322e-12
+8 0 2 0 0 24 24 68 31.7307692307692 7.105427357601e-15 7.105427357601e-15 465.384615384615 3.02852341585755e-12
+8 0 2 0 0 24 24 70 31.7307692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 2.68292823536599e-12
+8 0 2 0 0 24 24 72 31.7307692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 2.34779231034501e-12
+8 0 2 0 0 24 24 74 31.7307692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 2.07068672955155e-12
+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 1.80229668214574e-12
+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.58357491727542e-12
+8 0 2 0 0 24 24 80 31.7307692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.37195790040876e-12
+8 0 2 0 0 24 24 82 31.7307692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.20156335148628e-12
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 24 12 47.5961538461538 0 0 -126.923076923077 1.29051860654245e-11
+12 0 1 0 0 24 24 16 47.5961538461538 0 0 -84.6153846153846 1.39168912193201e-11
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+12 0 1 0 0 24 24 48 47.5961538461538 0 0 253.846153846154 8.74987918171414e-12
+12 0 1 0 0 24 24 52 47.5961538461538 0 0 296.153846153846 7.33127747320858e-12
+12 0 1 0 0 24 24 56 47.5961538461538 0 0 338.461538461538 6.02150130576745e-12
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+12 0 1 0 0 24 24 100 47.5961538461538 0 0 803.846153846154 3.19758240250484e-13
+12 0 1 0 0 24 24 104 47.5961538461538 0 0 846.153846153846 2.35542108345545e-13
+12 0 1 0 0 24 24 108 47.5961538461538 0 0 888.461538461538 1.7878302017637e-13
+12 0 1 0 0 24 24 112 47.5961538461538 0 0 930.769230769231 1.26175195682952e-13
+12 0 1 0 0 24 24 116 47.5961538461538 0 0 973.076923076923 9.51049365298917e-14
+12 0 1 0 0 24 24 120 47.5961538461538 0 0 1015.38461538462 6.6371327303011e-14
+12 0 1 0 0 24 24 124 47.5961538461538 0 0 1057.69230769231 4.96134819235828e-14
+12 0 1 0 0 24 24 128 47.5961538461538 0 0 1100 3.41590599769625e-14
+12 0 1 0 0 24 24 132 47.5961538461538 0 0 1142.30769230769 2.52697099413126e-14
+12 0 1 0 0 24 24 136 47.5961538461538 0 0 1184.61538461538 1.7100164615998e-14
+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 1.24796410129513e-14
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 24 18 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.42931676321372e-11
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+12 0 2 0 0 24 24 30 47.5961538461538 7.105427357601e-15 7.105427357601e-15 63.4615384615385 1.42931676321372e-11
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+12 0 2 0 0 24 24 38 47.5961538461538 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.22946340044823e-11
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+12 0 2 0 0 24 24 50 47.5961538461538 7.105427357601e-15 7.105427357601e-15 275 8.02952691036771e-12
+12 0 2 0 0 24 24 52 47.5961538461538 7.105427357601e-15 7.105427357601e-15 296.153846153846 7.33127747320858e-12
+12 0 2 0 0 24 24 54 47.5961538461538 7.105427357601e-15 7.105427357601e-15 317.307692307692 6.65921921367548e-12
+12 0 2 0 0 24 24 56 47.5961538461538 7.105427357601e-15 7.105427357601e-15 338.461538461538 6.02150130576745e-12
+12 0 2 0 0 24 24 58 47.5961538461538 7.105427357601e-15 7.105427357601e-15 359.615384615385 5.42062526686526e-12
+12 0 2 0 0 24 24 60 47.5961538461538 7.105427357601e-15 7.105427357601e-15 380.769230769231 4.85933439177024e-12
+12 0 2 0 0 24 24 62 47.5961538461538 7.105427357601e-15 7.105427357601e-15 401.923076923077 4.33994025722978e-12
+12 0 2 0 0 24 24 64 47.5961538461538 7.105427357601e-15 7.105427357601e-15 423.076923076923 3.86220902857895e-12
+12 0 2 0 0 24 24 66 47.5961538461538 7.105427357601e-15 7.105427357601e-15 444.230769230769 3.43916015130587e-12
+12 0 2 0 0 24 24 68 47.5961538461538 7.105427357601e-15 7.105427357601e-15 465.384615384615 3.02834010578545e-12
+12 0 2 0 0 24 24 70 47.5961538461538 7.105427357601e-15 7.105427357601e-15 486.538461538462 2.68277323424553e-12
+12 0 2 0 0 24 24 72 47.5961538461538 7.105427357601e-15 7.105427357601e-15 507.692307692308 2.34766450266451e-12
+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 2.07057767457467e-12
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 1.8022056576831e-12
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.5834973389204e-12
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.37189324042916e-12
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.20150866059114e-12
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 24 24 0 63.4615384615385 0 0 -253.846153846154 8.74953980933514e-12
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+16 0 0 0 0 24 24 160 63.4615384615385 0 0 1438.46153846154 1.62458797306457e-15
+16 0 0 0 0 24 24 168 63.4615384615385 0 0 1523.07692307692 6.31148055611693e-16
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+16 0 0 0 0 24 24 192 63.4615384615385 0 0 1776.92307692308 9.52455942129224e-18
+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 5.68721570647406e-19
+16 0 0 0 0 24 24 208 63.4615384615385 0 0 1946.15384615385 8.13338115841003e-20
+16 0 0 0 0 24 24 216 63.4615384615385 0 0 2030.76923076923 8.12238581234816e-20
+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 8.12238571576029e-20
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 8.12238753104076e-20
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 24 100 63.4615384615385 0 0 803.846153846154 3.19749069084193e-13
+16 0 1 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 2.35535587402749e-13
+16 0 1 0 0 24 24 108 63.4615384615385 0 0 888.461538461538 1.7877996116867e-13
+16 0 1 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 1.26168298513941e-13
+16 0 1 0 0 24 24 116 63.4615384615385 0 0 973.076923076923 9.51000442293276e-14
+16 0 1 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 6.63682592605525e-14
+16 0 1 0 0 24 24 124 63.4615384615385 0 0 1057.69230769231 4.96112931424553e-14
+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 3.41576717023868e-14
+16 0 1 0 0 24 24 132 63.4615384615385 0 0 1142.30769230769 2.52687245115313e-14
+16 0 1 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 1.7099545114029e-14
+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 1.24792048803133e-14
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 24 18 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.42925427053288e-11
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+16 0 2 0 0 24 24 50 63.4615384615385 7.105427357601e-15 7.105427357601e-15 275 8.02923106230734e-12
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+16 0 2 0 0 24 24 64 63.4615384615385 7.105427357601e-15 7.105427357601e-15 423.076923076923 3.86209930154753e-12
+16 0 2 0 0 24 24 66 63.4615384615385 7.105427357601e-15 7.105427357601e-15 444.230769230769 3.4390114543761e-12
+16 0 2 0 0 24 24 68 63.4615384615385 7.105427357601e-15 7.105427357601e-15 465.384615384615 3.02815522219036e-12
+16 0 2 0 0 24 24 70 63.4615384615385 7.105427357601e-15 7.105427357601e-15 486.538461538462 2.6826174694649e-12
+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 2.34753670839951e-12
+16 0 2 0 0 24 24 74 63.4615384615385 7.105427357601e-15 7.105427357601e-15 528.846153846154 2.07046853859213e-12
+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 1.80211446460721e-12
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.58341954798397e-12
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.3718283326583e-12
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.20145371884823e-12
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 24 48 79.3269230769231 0 0 253.846153846154 8.74920448702385e-12
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+20 0 1 0 0 24 24 56 79.3269230769231 0 0 338.461538461538 6.02108250232113e-12
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+20 0 1 0 0 24 24 108 79.3269230769231 0 0 888.461538461538 1.78769134001723e-13
+20 0 1 0 0 24 24 112 79.3269230769231 0 0 930.769230769231 1.26161126002361e-13
+20 0 1 0 0 24 24 116 79.3269230769231 0 0 973.076923076923 9.5095001300055e-14
+20 0 1 0 0 24 24 120 79.3269230769231 0 0 1015.38461538462 6.63651506388974e-14
+20 0 1 0 0 24 24 124 79.3269230769231 0 0 1057.69230769231 4.96090737906199e-14
+20 0 1 0 0 24 24 128 79.3269230769231 0 0 1100 3.41562621038506e-14
+20 0 1 0 0 24 24 132 79.3269230769231 0 0 1142.30769230769 2.5267723566742e-14
+20 0 1 0 0 24 24 136 79.3269230769231 0 0 1184.61538461538 1.70989154147833e-14
+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 1.24787614196254e-14
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 24 24 18 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.42916121774224e-11
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+20 0 2 0 0 24 24 64 79.3269230769231 7.105427357601e-15 7.105427357601e-15 423.076923076923 3.86199180637905e-12
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+20 0 2 0 0 24 24 68 79.3269230769231 7.105427357601e-15 7.105427357601e-15 465.384615384615 3.02796883719275e-12
+20 0 2 0 0 24 24 70 79.3269230769231 7.105427357601e-15 7.105427357601e-15 486.538461538462 2.68246098850722e-12
+20 0 2 0 0 24 24 72 79.3269230769231 7.105427357601e-15 7.105427357601e-15 507.692307692308 2.34740892853664e-12
+20 0 2 0 0 24 24 74 79.3269230769231 7.105427357601e-15 7.105427357601e-15 528.846153846154 2.0703593200847e-12
+20 0 2 0 0 24 24 76 79.3269230769231 7.105427357601e-15 7.105427357601e-15 550 1.80202309922545e-12
+20 0 2 0 0 24 24 78 79.3269230769231 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.58334154707339e-12
+20 0 2 0 0 24 24 80 79.3269230769231 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.37176318039684e-12
+20 0 2 0 0 24 24 82 79.3269230769231 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.20139851693504e-12
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 1 0 0 24 24 140 95.1923076923077 0 0 1226.92307692308 1.24783180461621e-14
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 24 140 111.057692307692 0 0 1226.92307692308 1.24778673429391e-14
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 24 74 111.057692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 2.07013962573178e-12
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+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.20128696867759e-12
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 24 51 111.057692307692 7.105427357601e-15 7.105427357601e-15 285.576923076923 7.677367197706e-12
+28 0 3 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 7.33020479914799e-12
+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 6.99229423773479e-12
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/press_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/press_maximum.xg
new file mode 100644
index 000000000..4211b2549
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/press_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::press
+"press v time
+0.0000000000000e+00 1.4796023833298e-11
+7.9326923076923e+00 1.4795509478338e-11
+1.5865384615385e+01 1.4794999719043e-11
+2.3798076923077e+01 1.4794492537358e-11
+3.1730769230769e+01 1.4793988714673e-11
+3.9663461538462e+01 1.4793490352910e-11
+4.7596153846154e+01 1.4792996707697e-11
+5.5528846153846e+01 1.4792507514982e-11
+6.3461538461538e+01 1.4792023664057e-11
+7.1394230769231e+01 1.4791545851509e-11
+7.5360576923077e+01 1.4791061984066e-11
+7.9326923076923e+01 1.4790582497880e-11
+8.3293269230769e+01 1.4790106521028e-11
+8.7259615384615e+01 1.4789635629481e-11
+9.1225961538462e+01 1.4789170137591e-11
+9.5192307692308e+01 1.4788710106427e-11
+9.9158653846154e+01 1.4788255579962e-11
+1.0312500000000e+02 1.4787806606131e-11
+1.0709134615385e+02 1.4787363244025e-11
+1.1105769230769e+02 1.4786925575460e-11
+1.1502403846154e+02 1.4786493703921e-11
+1.1899038461538e+02 1.4786067743673e-11
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/press_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/press_minimum.xg
new file mode 100644
index 000000000..c0edf8934
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/press_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::press
+"press v time
+0.0000000000000e+00 8.1223857467143e-20
+7.9326923076923e+00 1.0709769399590e-13
+1.5865384615385e+01 8.1323891419539e-20
+2.3798076923077e+01 1.0709765549489e-13
+3.1730769230769e+01 8.1223499016492e-20
+3.9663461538462e+01 1.0709757912969e-13
+4.7596153846154e+01 8.1524448162161e-20
+5.5528846153846e+01 1.0709746453950e-13
+6.3461538461538e+01 8.1222423612692e-20
+7.1394230769231e+01 1.0709731175171e-13
+7.5360576923077e+01 2.8389673197919e-12
+7.9326923076923e+01 8.1725923311735e-20
+8.3293269230769e+01 2.8389674898972e-12
+8.7259615384615e+01 1.0709712098720e-13
+9.1225961538462e+01 2.8389676436356e-12
+9.5192307692308e+01 8.1220631159994e-20
+9.9158653846154e+01 2.8389678012320e-12
+1.0312500000000e+02 1.0709689191455e-13
+1.0709134615385e+02 2.8389679787528e-12
+1.1105769230769e+02 8.1928320566137e-20
+1.1502403846154e+02 2.8389681780751e-12
+1.1899038461538e+02 1.0709662457787e-13
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/press_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/press_norm1.xg
new file mode 100644
index 000000000..f36a4aeea
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/press_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::press
+"press v time
+0.0000000000000e+00 1.7694089130863e-13
+7.9326923076923e+00 3.4519032835717e-12
+1.5865384615385e+01 7.9349697634978e-13
+2.3798076923077e+01 3.4519045813243e-12
+3.1730769230769e+01 1.7693800660519e-13
+3.9663461538462e+01 3.4519074976594e-12
+4.7596153846154e+01 7.9349166882256e-13
+5.5528846153846e+01 3.4519119915243e-12
+6.3461538461538e+01 1.7693540818912e-13
+7.1394230769231e+01 3.4519180607971e-12
+7.5360576923077e+01 8.8867868261493e-12
+7.9326923076923e+01 7.9348669515032e-13
+8.3293269230769e+01 8.8868047785071e-12
+8.7259615384615e+01 3.4519134737388e-12
+9.1225961538462e+01 8.8868247448637e-12
+9.5192307692308e+01 1.7693206971726e-13
+9.9158653846154e+01 8.8868467030735e-12
+1.0312500000000e+02 3.4519119601104e-12
+1.0709134615385e+02 8.8868706425053e-12
+1.1105769230769e+02 7.9348006664384e-13
+1.1502403846154e+02 8.8868965562301e-12
+1.1899038461538e+02 3.4519130750476e-12
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/press_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/press_norm2.xg
new file mode 100644
index 000000000..f7046d479
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/press_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::press
+"press v time
+0.0000000000000e+00 1.0270555081776e-12
+7.9326923076923e+00 4.7438722329495e-12
+1.5865384615385e+01 2.2224572585656e-12
+2.3798076923077e+01 4.7438757585302e-12
+3.1730769230769e+01 1.0270316915770e-12
+3.9663461538462e+01 4.7438831057206e-12
+4.7596153846154e+01 2.2224339562582e-12
+5.5528846153846e+01 4.7438942547916e-12
+6.3461538461538e+01 1.0270106280421e-12
+7.1394230769231e+01 4.7439092057040e-12
+7.5360576923077e+01 9.2700040597927e-12
+7.9326923076923e+01 2.2224123245326e-12
+8.3293269230769e+01 9.2700250065479e-12
+8.7259615384615e+01 4.7438957775377e-12
+9.1225961538462e+01 9.2700482764703e-12
+9.5192307692308e+01 1.0269803912730e-12
+9.9158653846154e+01 9.2700738464069e-12
+1.0312500000000e+02 4.7438901044661e-12
+1.0709134615385e+02 9.2701017036213e-12
+1.1105769230769e+02 2.2223814866987e-12
+1.1502403846154e+02 9.2701318440916e-12
+1.1899038461538e+02 4.7438910186701e-12
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/rho.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/rho.x.asc
new file mode 100644
index 000000000..ba6e9e731
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/rho.x.asc
@@ -0,0 +1,864 @@
+# WHISKY::rho x (rho)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 5.28746525523626e-09
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 6.54665406980558e-09
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 7.48874515315629e-09
+0 0 0 0 0 24 24 24 0 0 0 0 7.84000000000027e-09
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 7.48874515315629e-09
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+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+# iteration 0
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+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 232 24 24 31.7307692307692 2200 0 0 5.00000064219445e-15
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 136 24 24 31.7307692307692 1184.61538461538 0 0 4.91438658746113e-11
+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 3.88034420172988e-11
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 72 24 24 31.7307692307692 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.97107002253234e-09
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+8 0 2 0 0 78 24 24 31.7307692307692 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.46702075003032e-09
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 3.88024247677586e-11
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.46696684837136e-09
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 5.00000082380031e-15
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 3.88014077266165e-11
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 3.88003735876891e-11
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 140 24 24 111.057692307692 1226.92307692308 0 0 3.87982885958994e-11
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 4.46860603248083e-09
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/rho.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/rho.y.asc
new file mode 100644
index 000000000..556c7bc68
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/rho.y.asc
@@ -0,0 +1,864 @@
+# WHISKY::rho y (rho)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 5.28746525523626e-09
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 6.54665406980558e-09
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+0 0 0 0 0 24 24 24 0 0 0 0 7.84000000000027e-09
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+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 5e-15
+0 0 0 0 0 24 232 24 0 0 2200 0 5e-15
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 3.88054425585471e-11
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.19274267440561e-09
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 3.88044421751628e-11
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 24 232 24 31.7307692307692 0 2200 0 5.00000064219445e-15
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 24 140 24 31.7307692307692 0 1226.92307692308 0 3.88034420172988e-11
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 3.88024247677586e-11
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 74 24 47.5961538461538 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.7938079370972e-09
+12 0 2 0 0 24 76 24 47.5961538461538 7.105427357601e-15 550 7.105427357601e-15 1.61644360567615e-09
+12 0 2 0 0 24 78 24 47.5961538461538 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.46696684837136e-09
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 232 24 63.4615384615385 0 2200 0 5.00000082380031e-15
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 3.88014077266165e-11
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 140 24 79.3269230769231 0 1226.92307692308 0 3.88003735876891e-11
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 29 24 111.057692307692 7.105427357601e-15 52.8846153846154 7.105427357601e-15 7.69290205514924e-09
+28 0 3 0 0 24 30 24 111.057692307692 7.105427357601e-15 63.4615384615385 7.105427357601e-15 7.63772446341427e-09
+28 0 3 0 0 24 31 24 111.057692307692 7.105427357601e-15 74.0384615384616 7.105427357601e-15 7.56204211144466e-09
+28 0 3 0 0 24 32 24 111.057692307692 7.105427357601e-15 84.6153846153846 7.105427357601e-15 7.48642808151848e-09
+28 0 3 0 0 24 33 24 111.057692307692 7.105427357601e-15 95.1923076923077 7.105427357601e-15 7.39190012971916e-09
+28 0 3 0 0 24 34 24 111.057692307692 7.105427357601e-15 105.769230769231 7.105427357601e-15 7.29742408660025e-09
+28 0 3 0 0 24 35 24 111.057692307692 7.105427357601e-15 116.346153846154 7.105427357601e-15 7.18594647775916e-09
+28 0 3 0 0 24 36 24 111.057692307692 7.105427357601e-15 126.923076923077 7.105427357601e-15 7.07450657494899e-09
+28 0 3 0 0 24 37 24 111.057692307692 7.105427357601e-15 137.5 7.105427357601e-15 6.94823928118944e-09
+28 0 3 0 0 24 38 24 111.057692307692 7.105427357601e-15 148.076923076923 7.105427357601e-15 6.82200162622192e-09
+28 0 3 0 0 24 39 24 111.057692307692 7.105427357601e-15 158.653846153846 7.105427357601e-15 6.68339619867933e-09
+28 0 3 0 0 24 40 24 111.057692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 6.54479878849364e-09
+28 0 3 0 0 24 41 24 111.057692307692 7.105427357601e-15 179.807692307692 7.105427357601e-15 6.39644441663056e-09
+28 0 3 0 0 24 42 24 111.057692307692 7.105427357601e-15 190.384615384615 7.105427357601e-15 6.24806665666028e-09
+28 0 3 0 0 24 43 24 111.057692307692 7.105427357601e-15 200.961538461539 7.105427357601e-15 6.09208703753375e-09
+28 0 3 0 0 24 44 24 111.057692307692 7.105427357601e-15 211.538461538462 7.105427357601e-15 5.93611155467645e-09
+28 0 3 0 0 24 45 24 111.057692307692 7.105427357601e-15 222.115384615385 7.105427357601e-15 5.77505578869474e-09
+28 0 3 0 0 24 46 24 111.057692307692 7.105427357601e-15 232.692307692308 7.105427357601e-15 5.61397091813005e-09
+28 0 3 0 0 24 47 24 111.057692307692 7.105427357601e-15 243.269230769231 7.105427357601e-15 5.45020084063489e-09
+28 0 3 0 0 24 48 24 111.057692307692 7.105427357601e-15 253.846153846154 7.105427357601e-15 5.28639136921841e-09
+28 0 3 0 0 24 49 24 111.057692307692 7.105427357601e-15 264.423076923077 7.105427357601e-15 5.1214877770911e-09
+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 4.95653503557404e-09
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 4.79310044940846e-09
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 4.62960968067369e-09
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 4.46860603248085e-09
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/rho.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/rho.z.asc
new file mode 100644
index 000000000..0d0186848
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/rho.z.asc
@@ -0,0 +1,864 @@
+# WHISKY::rho z (rho)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 5.28746525523626e-09
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 6.54665406980558e-09
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 7.48874515315629e-09
+0 0 0 0 0 24 24 24 0 0 0 0 7.84000000000027e-09
+0 0 0 0 0 24 24 32 0 0 0 84.6153846153846 7.48874515315629e-09
+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 6.54665406980558e-09
+0 0 0 0 0 24 24 48 0 0 0 253.846153846154 5.28746525523626e-09
+0 0 0 0 0 24 24 56 0 0 0 338.461538461539 3.9950306350045e-09
+0 0 0 0 0 24 24 64 0 0 0 423.076923076923 2.86327671106347e-09
+0 0 0 0 0 24 24 72 0 0 0 507.692307692308 1.97123104894907e-09
+0 0 0 0 0 24 24 80 0 0 0 592.307692307692 1.31747815870429e-09
+0 0 0 0 0 24 24 88 0 0 0 676.923076923077 8.61471910624897e-10
+0 0 0 0 0 24 24 96 0 0 0 761.538461538462 5.53982232030343e-10
+0 0 0 0 0 24 24 104 0 0 0 846.153846153846 3.51387652889228e-10
+0 0 0 0 0 24 24 112 0 0 0 930.769230769231 2.2003395941068e-10
+0 0 0 0 0 24 24 120 0 0 0 1015.38461538462 1.3590563794336e-10
+0 0 0 0 0 24 24 128 0 0 0 1100 8.25802219016846e-11
+0 0 0 0 0 24 24 136 0 0 0 1184.61538461538 4.91464932951262e-11
+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 2.84559591847743e-11
+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 1.58742759848064e-11
+0 0 0 0 0 24 24 160 0 0 0 1438.46153846154 8.41009488555973e-12
+0 0 0 0 0 24 24 168 0 0 0 1523.07692307692 4.13847401475481e-12
+0 0 0 0 0 24 24 176 0 0 0 1607.69230769231 1.82310534311805e-12
+0 0 0 0 0 24 24 184 0 0 0 1692.30769230769 6.71679129006521e-13
+0 0 0 0 0 24 24 192 0 0 0 1776.92307692308 1.78198501798369e-13
+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 2.15188721220995e-14
+0 0 0 0 0 24 24 208 0 0 0 1946.15384615385 5e-15
+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 5e-15
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 5e-15
+0 0 0 0 0 24 24 232 0 0 0 2200 5e-15
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 7.0765699721969e-09
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 7.48874515315629e-09
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 7.75054088875198e-09
+0 0 1 0 0 24 24 24 0 0 0 0 7.84000000000027e-09
+0 0 1 0 0 24 24 28 0 0 0 42.3076923076923 7.75054088875198e-09
+0 0 1 0 0 24 24 32 0 0 0 84.6153846153846 7.48874515315629e-09
+0 0 1 0 0 24 24 36 0 0 0 126.923076923077 7.0765699721969e-09
+0 0 1 0 0 24 24 40 0 0 0 169.230769230769 6.54665406980558e-09
+0 0 1 0 0 24 24 44 0 0 0 211.538461538462 5.93773959721913e-09
+0 0 1 0 0 24 24 48 0 0 0 253.846153846154 5.28746525523626e-09
+0 0 1 0 0 24 24 52 0 0 0 296.153846153846 4.63050919142933e-09
+0 0 1 0 0 24 24 56 0 0 0 338.461538461538 3.9950306350045e-09
+0 0 1 0 0 24 24 60 0 0 0 380.769230769231 3.40151514409523e-09
+0 0 1 0 0 24 24 64 0 0 0 423.076923076923 2.86327671106347e-09
+0 0 1 0 0 24 24 68 0 0 0 465.384615384615 2.38599410630367e-09
+0 0 1 0 0 24 24 72 0 0 0 507.692307692308 1.97123104894907e-09
+0 0 1 0 0 24 24 76 0 0 0 550 1.61662697754964e-09
+0 0 1 0 0 24 24 80 0 0 0 592.307692307692 1.31747815870429e-09
+0 0 1 0 0 24 24 84 0 0 0 634.615384615385 1.0678849359315e-09
+0 0 1 0 0 24 24 88 0 0 0 676.923076923077 8.61471910624897e-10
+0 0 1 0 0 24 24 92 0 0 0 719.230769230769 6.92106961587313e-10
+0 0 1 0 0 24 24 96 0 0 0 761.538461538462 5.53982232030343e-10
+0 0 1 0 0 24 24 100 0 0 0 803.846153846154 4.41929519338e-10
+0 0 1 0 0 24 24 104 0 0 0 846.153846153846 3.51387652889228e-10
+0 0 1 0 0 24 24 108 0 0 0 888.461538461538 2.85756352325596e-10
+0 0 1 0 0 24 24 112 0 0 0 930.769230769231 2.2003395941068e-10
+0 0 1 0 0 24 24 116 0 0 0 973.076923076923 1.77995408197411e-10
+0 0 1 0 0 24 24 120 0 0 0 1015.38461538462 1.3590563794336e-10
+0 0 1 0 0 24 24 124 0 0 0 1057.69230769231 1.09257134327392e-10
+0 0 1 0 0 24 24 128 0 0 0 1100 8.25802219016846e-11
+0 0 1 0 0 24 24 132 0 0 0 1142.30769230769 6.58711436412981e-11
+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 4.91464932951262e-11
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 3.88054425585471e-11
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 7.64011252009468e-09
+0 0 2 0 0 24 24 20 0 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 7.75054088875198e-09
+0 0 2 0 0 24 24 22 0 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 7.81763790340879e-09
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 7.84000000000027e-09
+0 0 2 0 0 24 24 26 0 7.105427357601e-15 7.105427357601e-15 21.1538461538462 7.81763790340879e-09
+0 0 2 0 0 24 24 28 0 7.105427357601e-15 7.105427357601e-15 42.3076923076923 7.75054088875198e-09
+0 0 2 0 0 24 24 30 0 7.105427357601e-15 7.105427357601e-15 63.4615384615385 7.64011252009468e-09
+0 0 2 0 0 24 24 32 0 7.105427357601e-15 7.105427357601e-15 84.6153846153846 7.48874515315629e-09
+0 0 2 0 0 24 24 34 0 7.105427357601e-15 7.105427357601e-15 105.769230769231 7.29962310682707e-09
+0 0 2 0 0 24 24 36 0 7.105427357601e-15 7.105427357601e-15 126.923076923077 7.0765699721969e-09
+0 0 2 0 0 24 24 38 0 7.105427357601e-15 7.105427357601e-15 148.076923076923 6.82394208144182e-09
+0 0 2 0 0 24 24 40 0 7.105427357601e-15 7.105427357601e-15 169.230769230769 6.54665406980558e-09
+0 0 2 0 0 24 24 42 0 7.105427357601e-15 7.105427357601e-15 190.384615384615 6.2498763148219e-09
+0 0 2 0 0 24 24 44 0 7.105427357601e-15 7.105427357601e-15 211.538461538462 5.93773959721913e-09
+0 0 2 0 0 24 24 46 0 7.105427357601e-15 7.105427357601e-15 232.692307692308 5.61509993861125e-09
+0 0 2 0 0 24 24 48 0 7.105427357601e-15 7.105427357601e-15 253.846153846154 5.28746525523626e-09
+0 0 2 0 0 24 24 50 0 7.105427357601e-15 7.105427357601e-15 275 4.95748850249304e-09
+0 0 2 0 0 24 24 52 0 7.105427357601e-15 7.105427357601e-15 296.153846153846 4.63050919142933e-09
+0 0 2 0 0 24 24 54 0 7.105427357601e-15 7.105427357601e-15 317.307692307692 4.30834261239371e-09
+0 0 2 0 0 24 24 56 0 7.105427357601e-15 7.105427357601e-15 338.461538461538 3.9950306350045e-09
+0 0 2 0 0 24 24 58 0 7.105427357601e-15 7.105427357601e-15 359.615384615385 3.69213917299654e-09
+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 3.40151514409523e-09
+0 0 2 0 0 24 24 62 0 7.105427357601e-15 7.105427357601e-15 401.923076923077 3.12499760410256e-09
+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 2.86327671106347e-09
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 2.62475723928283e-09
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 2.38599410630367e-09
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 2.1787200073286e-09
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.97123104894907e-09
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.79402038419324e-09
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 1.61662697754964e-09
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.46712814710725e-09
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.31747815870429e-09
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.19274267440561e-09
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 7.07633536022382e-09
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 7.48847655053821e-09
+4 0 1 0 0 24 24 20 15.8653846153846 0 0 -42.3076923076923 7.75026153893721e-09
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 7.8395930093122e-09
+4 0 1 0 0 24 24 28 15.8653846153846 0 0 42.3076923076923 7.75026153893721e-09
+4 0 1 0 0 24 24 32 15.8653846153846 0 0 84.6153846153846 7.48847655053821e-09
+4 0 1 0 0 24 24 36 15.8653846153846 0 0 126.923076923077 7.07633536022382e-09
+4 0 1 0 0 24 24 40 15.8653846153846 0 0 169.230769230769 6.54644107817962e-09
+4 0 1 0 0 24 24 44 15.8653846153846 0 0 211.538461538462 5.93755639511959e-09
+4 0 1 0 0 24 24 48 15.8653846153846 0 0 253.846153846154 5.28730656197332e-09
+4 0 1 0 0 24 24 52 15.8653846153846 0 0 296.153846153846 4.6303777986737e-09
+4 0 1 0 0 24 24 56 15.8653846153846 0 0 338.461538461538 3.99492550321192e-09
+4 0 1 0 0 24 24 60 15.8653846153846 0 0 380.769230769231 3.40142997525463e-09
+4 0 1 0 0 24 24 64 15.8653846153846 0 0 423.076923076923 2.86321059245006e-09
+4 0 1 0 0 24 24 68 15.8653846153846 0 0 465.384615384615 2.38588788156804e-09
+4 0 1 0 0 24 24 72 15.8653846153846 0 0 507.692307692308 1.97115052249701e-09
+4 0 1 0 0 24 24 76 15.8653846153846 0 0 550 1.61656596105588e-09
+4 0 1 0 0 24 24 80 15.8653846153846 0 0 592.307692307692 1.31743192109795e-09
+4 0 1 0 0 24 24 84 15.8653846153846 0 0 634.615384615385 1.06785047476778e-09
+4 0 1 0 0 24 24 88 15.8653846153846 0 0 676.923076923077 8.61446461676157e-10
+4 0 1 0 0 24 24 92 15.8653846153846 0 0 719.230769230769 6.92087890029018e-10
+4 0 1 0 0 24 24 96 15.8653846153846 0 0 761.538461538462 5.53968170271424e-10
+4 0 1 0 0 24 24 100 15.8653846153846 0 0 803.846153846154 4.41919305860753e-10
+4 0 1 0 0 24 24 104 15.8653846153846 0 0 846.153846153846 3.51380070871093e-10
+4 0 1 0 0 24 24 108 15.8653846153846 0 0 888.461538461538 2.85744006659745e-10
+4 0 1 0 0 24 24 112 15.8653846153846 0 0 930.769230769231 2.20025315382553e-10
+4 0 1 0 0 24 24 116 15.8653846153846 0 0 973.076923076923 1.77988758124674e-10
+4 0 1 0 0 24 24 120 15.8653846153846 0 0 1015.38461538462 1.35900984299914e-10
+4 0 1 0 0 24 24 124 15.8653846153846 0 0 1057.69230769231 1.09253567238797e-10
+4 0 1 0 0 24 24 128 15.8653846153846 0 0 1100 8.25777424900519e-11
+4 0 1 0 0 24 24 132 15.8653846153846 0 0 1142.30769230769 6.58692467317784e-11
+4 0 1 0 0 24 24 136 15.8653846153846 0 0 1184.61538461538 4.91451794281694e-11
+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 3.88044421751628e-11
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 24 18 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 7.63983140613593e-09
+4 0 2 0 0 24 24 20 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 7.75026153893721e-09
+4 0 2 0 0 24 24 22 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 7.8174374279192e-09
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 7.8395930093122e-09
+4 0 2 0 0 24 24 26 15.8653846153846 7.105427357601e-15 7.105427357601e-15 21.1538461538462 7.8174374279192e-09
+4 0 2 0 0 24 24 28 15.8653846153846 7.105427357601e-15 7.105427357601e-15 42.3076923076923 7.75026153893721e-09
+4 0 2 0 0 24 24 30 15.8653846153846 7.105427357601e-15 7.105427357601e-15 63.4615384615385 7.63983140613593e-09
+4 0 2 0 0 24 24 32 15.8653846153846 7.105427357601e-15 7.105427357601e-15 84.6153846153846 7.48847655053821e-09
+4 0 2 0 0 24 24 34 15.8653846153846 7.105427357601e-15 7.105427357601e-15 105.769230769231 7.29936890110327e-09
+4 0 2 0 0 24 24 36 15.8653846153846 7.105427357601e-15 7.105427357601e-15 126.923076923077 7.07633536022382e-09
+4 0 2 0 0 24 24 38 15.8653846153846 7.105427357601e-15 7.105427357601e-15 148.076923076923 6.82372101402146e-09
+4 0 2 0 0 24 24 40 15.8653846153846 7.105427357601e-15 7.105427357601e-15 169.230769230769 6.54644107817962e-09
+4 0 2 0 0 24 24 42 15.8653846153846 7.105427357601e-15 7.105427357601e-15 190.384615384615 6.24967112420202e-09
+4 0 2 0 0 24 24 44 15.8653846153846 7.105427357601e-15 7.105427357601e-15 211.538461538462 5.93755639511959e-09
+4 0 2 0 0 24 24 46 15.8653846153846 7.105427357601e-15 7.105427357601e-15 232.692307692308 5.61492780436083e-09
+4 0 2 0 0 24 24 48 15.8653846153846 7.105427357601e-15 7.105427357601e-15 253.846153846154 5.28730656197332e-09
+4 0 2 0 0 24 24 50 15.8653846153846 7.105427357601e-15 7.105427357601e-15 275 4.95734615482086e-09
+4 0 2 0 0 24 24 52 15.8653846153846 7.105427357601e-15 7.105427357601e-15 296.153846153846 4.6303777986737e-09
+4 0 2 0 0 24 24 54 15.8653846153846 7.105427357601e-15 7.105427357601e-15 317.307692307692 4.30822365264259e-09
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+4 0 2 0 0 24 24 70 15.8653846153846 7.105427357601e-15 7.105427357601e-15 486.538461538462 2.17862662772583e-09
+4 0 2 0 0 24 24 72 15.8653846153846 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.97115052249701e-09
+4 0 2 0 0 24 24 74 15.8653846153846 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.79394961053116e-09
+4 0 2 0 0 24 24 76 15.8653846153846 7.105427357601e-15 7.105427357601e-15 550 1.61656596105588e-09
+4 0 2 0 0 24 24 78 15.8653846153846 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.46707451623691e-09
+4 0 2 0 0 24 24 80 15.8653846153846 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.31743192109795e-09
+4 0 2 0 0 24 24 82 15.8653846153846 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.1927023200432e-09
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 24 24 8 31.7307692307692 0 0 -169.230769230769 6.54623438511978e-09
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+8 0 0 0 0 24 24 64 31.7307692307692 0 0 423.076923076923 2.86314665354693e-09
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+8 0 0 0 0 24 24 120 31.7307692307692 0 0 1015.38461538462 1.35896331626668e-10
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+8 0 0 0 0 24 24 160 31.7307692307692 0 0 1438.46153846154 8.40974803843266e-12
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+8 0 0 0 0 24 24 184 31.7307692307692 0 0 1692.30769230769 6.71652671008783e-13
+8 0 0 0 0 24 24 192 31.7307692307692 0 0 1776.92307692308 1.78185616650484e-13
+8 0 0 0 0 24 24 200 31.7307692307692 0 0 1861.53846153846 2.15204052224233e-14
+8 0 0 0 0 24 24 208 31.7307692307692 0 0 1946.15384615385 5.0025553723568e-15
+8 0 0 0 0 24 24 216 31.7307692307692 0 0 2030.76923076923 5.00000000820899e-15
+8 0 0 0 0 24 24 224 31.7307692307692 0 0 2115.38461538462 4.99999999768582e-15
+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 5.00000064219445e-15
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 24 12 31.7307692307692 0 0 -126.923076923077 7.07610530822723e-09
+8 0 1 0 0 24 24 16 31.7307692307692 0 0 -84.6153846153846 7.48821792982776e-09
+8 0 1 0 0 24 24 20 31.7307692307692 0 0 -42.3076923076923 7.74999458762229e-09
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+8 0 1 0 0 24 24 32 31.7307692307692 0 0 84.6153846153846 7.48821792982776e-09
+8 0 1 0 0 24 24 36 31.7307692307692 0 0 126.923076923077 7.07610530822723e-09
+8 0 1 0 0 24 24 40 31.7307692307692 0 0 169.230769230769 6.54623438511978e-09
+8 0 1 0 0 24 24 44 31.7307692307692 0 0 211.538461538462 5.93737575023876e-09
+8 0 1 0 0 24 24 48 31.7307692307692 0 0 253.846153846154 5.28714993417515e-09
+8 0 1 0 0 24 24 52 31.7307692307692 0 0 296.153846153846 4.63024756088589e-09
+8 0 1 0 0 24 24 56 31.7307692307692 0 0 338.461538461538 3.99482042186316e-09
+8 0 1 0 0 24 24 60 31.7307692307692 0 0 380.769230769231 3.40134533687119e-09
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+8 0 1 0 0 24 24 96 31.7307692307692 0 0 761.538461538462 5.53953897126341e-10
+8 0 1 0 0 24 24 100 31.7307692307692 0 0 803.846153846154 4.41909333137554e-10
+8 0 1 0 0 24 24 104 31.7307692307692 0 0 846.153846153846 3.51372511465203e-10
+8 0 1 0 0 24 24 108 31.7307692307692 0 0 888.461538461538 2.85740139668094e-10
+8 0 1 0 0 24 24 112 31.7307692307692 0 0 930.769230769231 2.20016673737371e-10
+8 0 1 0 0 24 24 116 31.7307692307692 0 0 973.076923076923 1.77982109853554e-10
+8 0 1 0 0 24 24 120 31.7307692307692 0 0 1015.38461538462 1.35896331626668e-10
+8 0 1 0 0 24 24 124 31.7307692307692 0 0 1057.69230769231 1.09250000997783e-10
+8 0 1 0 0 24 24 128 31.7307692307692 0 0 1100 8.25752637857217e-11
+8 0 1 0 0 24 24 132 31.7307692307692 0 0 1142.30769230769 6.58673503244299e-11
+8 0 1 0 0 24 24 136 31.7307692307692 0 0 1184.61538461538 4.91438658746114e-11
+8 0 1 0 0 24 24 140 31.7307692307692 0 0 1226.92307692308 3.88034420172989e-11
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 24 18 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 7.63956127397089e-09
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+8 0 2 0 0 24 24 64 31.7307692307692 7.105427357601e-15 7.105427357601e-15 423.076923076923 2.86314665354693e-09
+8 0 2 0 0 24 24 66 31.7307692307692 7.105427357601e-15 7.105427357601e-15 444.230769230769 2.62458544733078e-09
+8 0 2 0 0 24 24 68 31.7307692307692 7.105427357601e-15 7.105427357601e-15 465.384615384615 2.38578057336084e-09
+8 0 2 0 0 24 24 70 31.7307692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 2.1785327248003e-09
+8 0 2 0 0 24 24 72 31.7307692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.97107002253234e-09
+8 0 2 0 0 24 24 74 31.7307692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.79387879500232e-09
+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 1.61650483688791e-09
+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.46702075003032e-09
+8 0 2 0 0 24 24 80 31.7307692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.31738551732957e-09
+8 0 2 0 0 24 24 82 31.7307692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.19266177760552e-09
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 24 12 47.5961538461538 0 0 -126.923076923077 7.07588064911709e-09
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+12 0 1 0 0 24 24 104 47.5961538461538 0 0 846.153846153846 3.51365174787753e-10
+12 0 1 0 0 24 24 108 47.5961538461538 0 0 888.461538461538 2.85727471626961e-10
+12 0 1 0 0 24 24 112 47.5961538461538 0 0 930.769230769231 2.20007652066737e-10
+12 0 1 0 0 24 24 116 47.5961538461538 0 0 973.076923076923 1.77975241569744e-10
+12 0 1 0 0 24 24 120 47.5961538461538 0 0 1015.38461538462 1.35891619101787e-10
+12 0 1 0 0 24 24 124 47.5961538461538 0 0 1057.69230769231 1.09246385402215e-10
+12 0 1 0 0 24 24 128 47.5961538461538 0 0 1100 8.25727463101688e-11
+12 0 1 0 0 24 24 132 47.5961538461538 0 0 1142.30769230769 6.58654235178787e-11
+12 0 1 0 0 24 24 136 47.5961538461538 0 0 1184.61538461538 4.91425303348392e-11
+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 3.88024247677587e-11
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 24 18 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 7.63930168974703e-09
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+12 0 2 0 0 24 24 28 47.5961538461538 7.105427357601e-15 7.105427357601e-15 42.3076923076923 7.74973726524589e-09
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+12 0 2 0 0 24 24 40 47.5961538461538 7.105427357601e-15 7.105427357601e-15 169.230769230769 6.54603241665436e-09
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+12 0 2 0 0 24 24 50 47.5961538461538 7.105427357601e-15 7.105427357601e-15 275 4.95706672149912e-09
+12 0 2 0 0 24 24 52 47.5961538461538 7.105427357601e-15 7.105427357601e-15 296.153846153846 4.63011778087528e-09
+12 0 2 0 0 24 24 54 47.5961538461538 7.105427357601e-15 7.105427357601e-15 317.307692307692 4.30799092464067e-09
+12 0 2 0 0 24 24 56 47.5961538461538 7.105427357601e-15 7.105427357601e-15 338.461538461538 3.99471577584594e-09
+12 0 2 0 0 24 24 58 47.5961538461538 7.105427357601e-15 7.105427357601e-15 359.615384615385 3.69185244447489e-09
+12 0 2 0 0 24 24 60 47.5961538461538 7.105427357601e-15 7.105427357601e-15 380.769230769231 3.40126042061502e-09
+12 0 2 0 0 24 24 62 47.5961538461538 7.105427357601e-15 7.105427357601e-15 401.923076923077 3.12478477117468e-09
+12 0 2 0 0 24 24 64 47.5961538461538 7.105427357601e-15 7.105427357601e-15 423.076923076923 2.86308424475478e-09
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+12 0 2 0 0 24 24 68 47.5961538461538 7.105427357601e-15 7.105427357601e-15 465.384615384615 2.38567226787881e-09
+12 0 2 0 0 24 24 70 47.5961538461538 7.105427357601e-15 7.105427357601e-15 486.538461538462 2.17843832865298e-09
+12 0 2 0 0 24 24 72 47.5961538461538 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.97098954705731e-09
+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.7938079370972e-09
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 1.61644360567615e-09
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.46696684837136e-09
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.31733895105603e-09
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.19262106307853e-09
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 24 8 63.4615384615385 0 0 -169.230769230769 6.54583556443699e-09
+16 0 0 0 0 24 24 16 63.4615384615385 0 0 -84.6153846153846 7.48772331765976e-09
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+16 0 0 0 0 24 24 40 63.4615384615385 0 0 169.230769230769 6.54583556443699e-09
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+16 0 0 0 0 24 24 56 63.4615384615385 0 0 338.461538461539 3.99461132899113e-09
+16 0 0 0 0 24 24 64 63.4615384615385 0 0 423.076923076923 2.86302323844047e-09
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+16 0 0 0 0 24 24 144 63.4615384615385 0 0 1269.23076923077 2.84531888507324e-11
+16 0 0 0 0 24 24 152 63.4615384615385 0 0 1353.84615384615 1.58728579090247e-11
+16 0 0 0 0 24 24 160 63.4615384615385 0 0 1438.46153846154 8.40939440085889e-12
+16 0 0 0 0 24 24 168 63.4615384615385 0 0 1523.07692307692 4.13814526948744e-12
+16 0 0 0 0 24 24 176 63.4615384615385 0 0 1607.69230769231 1.82296326265646e-12
+16 0 0 0 0 24 24 184 63.4615384615385 0 0 1692.30769230769 6.71625491428783e-13
+16 0 0 0 0 24 24 192 63.4615384615385 0 0 1776.92307692308 1.78172620598196e-13
+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 2.15219724684862e-14
+16 0 0 0 0 24 24 208 63.4615384615385 0 0 1946.15384615385 5.00507558024023e-15
+16 0 0 0 0 24 24 216 63.4615384615385 0 0 2030.76923076923 5.00000003030229e-15
+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 4.99999998570892e-15
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 5.00000082380031e-15
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 7.07566127916406e-09
+16 0 1 0 0 24 24 16 63.4615384615385 0 0 -84.6153846153846 7.48772331765976e-09
+16 0 1 0 0 24 24 20 63.4615384615385 0 0 -42.3076923076923 7.74948772330352e-09
+16 0 1 0 0 24 24 24 63.4615384615385 0 0 0 7.83841026275953e-09
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+16 0 1 0 0 24 24 32 63.4615384615385 0 0 84.6153846153846 7.48772331765976e-09
+16 0 1 0 0 24 24 36 63.4615384615385 0 0 126.923076923077 7.07566127916406e-09
+16 0 1 0 0 24 24 40 63.4615384615385 0 0 169.230769230769 6.54583556443699e-09
+16 0 1 0 0 24 24 44 63.4615384615385 0 0 211.538461538462 5.93702273437508e-09
+16 0 1 0 0 24 24 48 63.4615384615385 0 0 253.846153846154 5.28684045588428e-09
+16 0 1 0 0 24 24 52 63.4615384615385 0 0 296.153846153846 4.62998896653778e-09
+16 0 1 0 0 24 24 56 63.4615384615385 0 0 338.461538461538 3.99461132899113e-09
+16 0 1 0 0 24 24 60 63.4615384615385 0 0 380.769230769231 3.40117567118401e-09
+16 0 1 0 0 24 24 64 63.4615384615385 0 0 423.076923076923 2.86302323844047e-09
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+16 0 1 0 0 24 24 72 63.4615384615385 0 0 507.692307692308 1.97090907893438e-09
+16 0 1 0 0 24 24 76 63.4615384615385 0 0 550 1.6163822602647e-09
+16 0 1 0 0 24 24 80 63.4615384615385 0 0 592.307692307692 1.31729220577843e-09
+16 0 1 0 0 24 24 84 63.4615384615385 0 0 634.615384615385 1.06774589151258e-09
+16 0 1 0 0 24 24 88 63.4615384615385 0 0 676.923076923077 8.6136901659328e-10
+16 0 1 0 0 24 24 92 63.4615384615385 0 0 719.230769230769 6.92029793607114e-10
+16 0 1 0 0 24 24 96 63.4615384615385 0 0 761.538461538462 5.5392473146463e-10
+16 0 1 0 0 24 24 100 63.4615384615385 0 0 803.846153846154 4.41890090592308e-10
+16 0 1 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 3.51357879149139e-10
+16 0 1 0 0 24 24 108 63.4615384615385 0 0 888.461538461538 2.8572380498511e-10
+16 0 1 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 2.19998632225394e-10
+16 0 1 0 0 24 24 116 63.4615384615385 0 0 973.076923076923 1.77968375096729e-10
+16 0 1 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 1.35886907839222e-10
+16 0 1 0 0 24 24 124 63.4615384615385 0 0 1057.69230769231 1.09242770693027e-10
+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 8.25702293887402e-11
+16 0 1 0 0 24 24 132 63.4615384615385 0 0 1142.30769230769 6.58634971186509e-11
+16 0 1 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 4.91411950831242e-11
+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 3.88014077266165e-11
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 24 18 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 7.63905118384253e-09
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+16 0 2 0 0 24 24 32 63.4615384615385 7.105427357601e-15 7.105427357601e-15 84.6153846153846 7.48772331765976e-09
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+16 0 2 0 0 24 24 50 63.4615384615385 7.105427357601e-15 7.105427357601e-15 275 4.95692973846025e-09
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+16 0 2 0 0 24 24 54 63.4615384615385 7.105427357601e-15 7.105427357601e-15 317.307692307692 4.3078763511719e-09
+16 0 2 0 0 24 24 56 63.4615384615385 7.105427357601e-15 7.105427357601e-15 338.461538461538 3.99461132899113e-09
+16 0 2 0 0 24 24 58 63.4615384615385 7.105427357601e-15 7.105427357601e-15 359.615384615385 3.69175666283434e-09
+16 0 2 0 0 24 24 60 63.4615384615385 7.105427357601e-15 7.105427357601e-15 380.769230769231 3.40117567118401e-09
+16 0 2 0 0 24 24 62 63.4615384615385 7.105427357601e-15 7.105427357601e-15 401.923076923077 3.12471836619758e-09
+16 0 2 0 0 24 24 64 63.4615384615385 7.105427357601e-15 7.105427357601e-15 423.076923076923 2.86302323844047e-09
+16 0 2 0 0 24 24 66 63.4615384615385 7.105427357601e-15 7.105427357601e-15 444.230769230769 2.62441500880821e-09
+16 0 2 0 0 24 24 68 63.4615384615385 7.105427357601e-15 7.105427357601e-15 465.384615384615 2.38556303104867e-09
+16 0 2 0 0 24 24 70 63.4615384615385 7.105427357601e-15 7.105427357601e-15 486.538461538462 2.17834346606076e-09
+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.97090907893438e-09
+16 0 2 0 0 24 24 74 63.4615384615385 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.79373702562502e-09
+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 1.6163822602647e-09
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.46691279834733e-09
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.31729220577843e-09
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.19258016134191e-09
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 24 24 12 79.3269230769231 0 0 -126.923076923077 7.07533463042939e-09
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+20 0 1 0 0 24 24 20 79.3269230769231 0 0 -42.3076923076923 7.74911332847211e-09
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+20 0 1 0 0 24 24 36 79.3269230769231 0 0 126.923076923077 7.07533463042939e-09
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+20 0 1 0 0 24 24 52 79.3269230769231 0 0 296.153846153846 4.62986124399307e-09
+20 0 1 0 0 24 24 56 79.3269230769231 0 0 338.461538461538 3.99450739567698e-09
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+20 0 1 0 0 24 24 76 79.3269230769231 0 0 550 1.61632079816513e-09
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+20 0 1 0 0 24 24 100 79.3269230769231 0 0 803.846153846154 4.41880804098542e-10
+20 0 1 0 0 24 24 104 79.3269230769231 0 0 846.153846153846 3.51350778348679e-10
+20 0 1 0 0 24 24 108 79.3269230769231 0 0 888.461538461538 2.85710827008986e-10
+20 0 1 0 0 24 24 112 79.3269230769231 0 0 930.769230769231 2.19989252171316e-10
+20 0 1 0 0 24 24 116 79.3269230769231 0 0 973.076923076923 1.77961297119915e-10
+20 0 1 0 0 24 24 120 79.3269230769231 0 0 1015.38461538462 1.3588213420802e-10
+20 0 1 0 0 24 24 124 79.3269230769231 0 0 1057.69230769231 1.09239105456485e-10
+20 0 1 0 0 24 24 128 79.3269230769231 0 0 1100 8.25676737811178e-11
+20 0 1 0 0 24 24 132 79.3269230769231 0 0 1142.30769230769 6.58615403701817e-11
+20 0 1 0 0 24 24 136 79.3269230769231 0 0 1184.61538461538 4.91398378401811e-11
+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 3.88003735876892e-11
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 24 24 18 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 7.63867817071063e-09
+20 0 2 0 0 24 24 20 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 7.74911332847211e-09
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+20 0 2 0 0 24 24 28 79.3269230769231 7.105427357601e-15 7.105427357601e-15 42.3076923076923 7.74911332847211e-09
+20 0 2 0 0 24 24 30 79.3269230769231 7.105427357601e-15 7.105427357601e-15 63.4615384615385 7.63867817071063e-09
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+20 0 2 0 0 24 24 50 79.3269230769231 7.105427357601e-15 7.105427357601e-15 275 4.95679524866927e-09
+20 0 2 0 0 24 24 52 79.3269230769231 7.105427357601e-15 7.105427357601e-15 296.153846153846 4.62986124399307e-09
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 1 0 0 24 24 140 95.1923076923077 0 0 1226.92307692308 3.87993396429825e-11
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+28 0 1 0 0 24 24 140 111.057692307692 0 0 1226.92307692308 3.87982885958994e-11
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/rho_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/rho_maximum.xg
new file mode 100644
index 000000000..21509a037
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/rho_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::rho
+"rho v time
+0.0000000000000e+00 7.8400000000003e-09
+7.9326923076923e+00 7.8397955923606e-09
+1.5865384615385e+01 7.8395930093122e-09
+2.3798076923077e+01 7.8393914488979e-09
+3.1730769230769e+01 7.8391912216822e-09
+3.9663461538462e+01 7.8389931630474e-09
+4.7596153846154e+01 7.8387969772169e-09
+5.5528846153846e+01 7.8386025592954e-09
+6.3461538461538e+01 7.8384102627595e-09
+7.1394230769231e+01 7.8382203645082e-09
+7.5360576923077e+01 7.8380280582819e-09
+7.9326923076923e+01 7.8378374917720e-09
+8.3293269230769e+01 7.8376483184809e-09
+8.7259615384615e+01 7.8374611648072e-09
+9.1225961538462e+01 7.8372761557380e-09
+9.5192307692308e+01 7.8370933155957e-09
+9.9158653846154e+01 7.8369126619089e-09
+1.0312500000000e+02 7.8367342137800e-09
+1.0709134615385e+02 7.8365579947452e-09
+1.1105769230769e+02 7.8363840373742e-09
+1.1502403846154e+02 7.8362123828487e-09
+1.1899038461538e+02 7.8360430766365e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/rho_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/rho_minimum.xg
new file mode 100644
index 000000000..4433ddadb
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/rho_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::rho
+"rho v time
+0.0000000000000e+00 5.0000000000000e-15
+7.9326923076923e+00 1.9455499523927e-10
+1.5865384615385e+01 5.0046177270167e-15
+2.3798076923077e+01 1.9455494278320e-10
+3.1730769230769e+01 4.9999834507899e-15
+3.9663461538462e+01 1.9455483873870e-10
+4.7596153846154e+01 5.0138714719858e-15
+5.5528846153846e+01 1.9455468261418e-10
+6.3461538461538e+01 4.9999338006563e-15
+7.1394230769231e+01 1.9455447444689e-10
+7.5360576923077e+01 2.2728856723667e-09
+7.9326923076923e+01 5.0231618639014e-15
+8.3293269230769e+01 2.2728857745068e-09
+8.7259615384615e+01 1.9455421453772e-10
+9.1225961538462e+01 2.2728858668193e-09
+9.5192307692308e+01 4.9998510448499e-15
+9.9158653846154e+01 2.2728859614485e-09
+1.0312500000000e+02 1.9455390243506e-10
+1.0709134615385e+02 2.2728860680412e-09
+1.1105769230769e+02 5.0324890124112e-15
+1.1502403846154e+02 2.2728861877247e-09
+1.1899038461538e+02 1.9455353819892e-10
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/rho_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/rho_norm1.xg
new file mode 100644
index 000000000..d18c368a5
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/rho_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::rho
+"rho v time
+0.0000000000000e+00 1.3672484031837e-10
+7.9326923076923e+00 2.4449485132437e-09
+1.5865384615385e+01 6.2136163953070e-10
+2.3798076923077e+01 2.4449489968801e-09
+3.1730769230769e+01 1.3672340758707e-10
+3.9663461538462e+01 2.4449501484620e-09
+4.7596153846154e+01 6.2135913823383e-10
+5.5528846153846e+01 2.4449519421234e-09
+6.3461538461538e+01 1.3672209114499e-10
+7.1394230769231e+01 2.4449543764471e-09
+7.5360576923077e+01 5.3042438151304e-09
+7.9326923076923e+01 6.2135669885414e-10
+8.3293269230769e+01 5.3042516006299e-09
+8.7259615384615e+01 2.4449523613030e-09
+9.1225961538462e+01 5.3042602618639e-09
+9.5192307692308e+01 1.3672045754872e-10
+9.9158653846154e+01 5.3042697890584e-09
+1.0312500000000e+02 2.4449516089177e-09
+1.0709134615385e+02 5.3042801776669e-09
+1.1105769230769e+02 6.2135348599145e-10
+1.1502403846154e+02 5.3042914242855e-09
+1.1899038461538e+02 2.4449519339214e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/rho_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/rho_norm2.xg
new file mode 100644
index 000000000..c468bf687
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/rho_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::rho
+"rho v time
+0.0000000000000e+00 6.5865469052421e-10
+7.9326923076923e+00 2.9983850300239e-09
+1.5865384615385e+01 1.4002530974735e-09
+2.3798076923077e+01 2.9983863351506e-09
+3.1730769230769e+01 6.5864481257121e-10
+3.9663461538462e+01 2.9983891149388e-09
+4.7596153846154e+01 1.4002438120283e-09
+5.5528846153846e+01 2.9983933523629e-09
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+7.1394230769231e+01 2.9983990467578e-09
+7.5360576923077e+01 5.4363791602071e-09
+7.9326923076923e+01 1.4002352696535e-09
+8.3293269230769e+01 5.4363878970086e-09
+8.7259615384615e+01 2.9983945562891e-09
+9.1225961538462e+01 5.4363976084355e-09
+9.5192307692308e+01 6.5862405852256e-10
+9.9158653846154e+01 5.4364082842093e-09
+1.0312500000000e+02 2.9983929516753e-09
+1.0709134615385e+02 5.4364199190580e-09
+1.1105769230769e+02 1.4002234750839e-09
+1.1502403846154e+02 5.4364325104767e-09
+1.1899038461538e+02 2.9983938100766e-09
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sx.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/sx.x.asc
new file mode 100644
index 000000000..c325f997f
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sx.x.asc
@@ -0,0 +1,864 @@
+# WHISKY::sx x (sx)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 -0
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 -0
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+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 0
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+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 0
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 0
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 0
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 0
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+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 0
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 0
+0 0 0 0 0 232 24 24 0 2200 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 -0
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 -0
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+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 0
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+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 0
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+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 0
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+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 0
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 0
+0 0 1 0 0 128 24 24 0 1100 0 0 0
+0 0 1 0 0 132 24 24 0 1142.30769230769 0 0 0
+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -0
+0 0 2 0 0 20 24 24 0 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 -0
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+0 0 2 0 0 52 24 24 0 296.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 54 24 24 0 317.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 56 24 24 0 338.461538461538 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 58 24 24 0 359.615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 60 24 24 0 380.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 62 24 24 0 401.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 64 24 24 0 423.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 66 24 24 0 444.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 68 24 24 0 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 70 24 24 0 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 72 24 24 0 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 74 24 24 0 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 76 24 24 0 550 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 78 24 24 0 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 80 24 24 0 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 12 24 24 15.8653846153846 -126.923076923077 0 0 2.22235095747728e-14
+4 0 1 0 0 16 24 24 15.8653846153846 -84.6153846153846 0 0 1.63067750070126e-14
+4 0 1 0 0 20 24 24 15.8653846153846 -42.3076923076923 0 0 8.87483294922471e-15
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+4 0 1 0 0 36 24 24 15.8653846153846 126.923076923077 0 0 -2.22235095747728e-14
+4 0 1 0 0 40 24 24 15.8653846153846 169.230769230769 0 0 -2.68463357312719e-14
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+4 0 1 0 0 48 24 24 15.8653846153846 253.846153846154 0 0 -2.83703350573566e-14
+4 0 1 0 0 52 24 24 15.8653846153846 296.153846153846 0 0 -2.69519997240008e-14
+4 0 1 0 0 56 24 24 15.8653846153846 338.461538461538 0 0 -2.45089501546221e-14
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+4 0 1 0 0 76 24 24 15.8653846153846 550 0 0 -9.31246357395857e-15
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+4 0 1 0 0 88 24 24 15.8653846153846 676.923076923077 0 0 -4.39038476887508e-15
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+4 0 1 0 0 100 24 24 15.8653846153846 803.846153846154 0 0 -1.70690335743842e-15
+4 0 1 0 0 104 24 24 15.8653846153846 846.153846153846 0 0 -3.00805844403877e-15
+4 0 1 0 0 108 24 24 15.8653846153846 888.461538461538 0 0 -1.10115481921232e-15
+4 0 1 0 0 112 24 24 15.8653846153846 930.769230769231 0 0 -7.91323584304517e-16
+4 0 1 0 0 116 24 24 15.8653846153846 973.076923076923 0 0 -6.12694143961687e-16
+4 0 1 0 0 120 24 24 15.8653846153846 1015.38461538462 0 0 -4.34064703618857e-16
+4 0 1 0 0 124 24 24 15.8653846153846 1057.69230769231 0 0 -3.33369147915325e-16
+4 0 1 0 0 128 24 24 15.8653846153846 1100 0 0 -2.32673592211792e-16
+4 0 1 0 0 132 24 24 15.8653846153846 1142.30769230769 0 0 -1.77336169487362e-16
+4 0 1 0 0 136 24 24 15.8653846153846 1184.61538461538 0 0 -1.21998746762931e-16
+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 -9.20633223599927e-17
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 18 24 24 15.8653846153846 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.27658551777931e-14
+4 0 2 0 0 20 24 24 15.8653846153846 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 8.87483294922471e-15
+4 0 2 0 0 22 24 24 15.8653846153846 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.5729134903702e-15
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+4 0 2 0 0 28 24 24 15.8653846153846 42.3076923076923 7.105427357601e-15 7.105427357601e-15 -8.87483294922471e-15
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+4 0 2 0 0 36 24 24 15.8653846153846 126.923076923077 7.105427357601e-15 7.105427357601e-15 -2.22235095747728e-14
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+4 0 2 0 0 52 24 24 15.8653846153846 296.153846153846 7.105427357601e-15 7.105427357601e-15 -2.69519997240008e-14
+4 0 2 0 0 54 24 24 15.8653846153846 317.307692307692 7.105427357601e-15 7.105427357601e-15 -2.5457587503484e-14
+4 0 2 0 0 56 24 24 15.8653846153846 338.461538461538 7.105427357601e-15 7.105427357601e-15 -2.45089501546221e-14
+4 0 2 0 0 58 24 24 15.8653846153846 359.615384615385 7.105427357601e-15 7.105427357601e-15 -2.26991677197103e-14
+4 0 2 0 0 60 24 24 15.8653846153846 380.769230769231 7.105427357601e-15 7.105427357601e-15 -2.11076865443778e-14
+4 0 2 0 0 62 24 24 15.8653846153846 401.923076923077 7.105427357601e-15 7.105427357601e-15 -1.88589783738409e-14
+4 0 2 0 0 64 24 24 15.8653846153846 423.076923076923 7.105427357601e-15 7.105427357601e-15 -2.48746821055503e-14
+4 0 2 0 0 66 24 24 15.8653846153846 444.230769230769 7.105427357601e-15 7.105427357601e-15 -1.95700364893935e-14
+4 0 2 0 0 68 24 24 15.8653846153846 465.384615384615 7.105427357601e-15 7.105427357601e-15 -1.42653908732368e-14
+4 0 2 0 0 70 24 24 15.8653846153846 486.538461538462 7.105427357601e-15 7.105427357601e-15 -1.2948329110608e-14
+4 0 2 0 0 72 24 24 15.8653846153846 507.692307692308 7.105427357601e-15 7.105427357601e-15 -1.16312673479792e-14
+4 0 2 0 0 74 24 24 15.8653846153846 528.846153846154 7.105427357601e-15 7.105427357601e-15 -1.04718654609689e-14
+4 0 2 0 0 76 24 24 15.8653846153846 550 7.105427357601e-15 7.105427357601e-15 -9.31246357395857e-15
+4 0 2 0 0 78 24 24 15.8653846153846 571.153846153846 7.105427357601e-15 7.105427357601e-15 -8.32645730830756e-15
+4 0 2 0 0 80 24 24 15.8653846153846 592.307692307692 7.105427357601e-15 7.105427357601e-15 -7.34045104265655e-15
+4 0 2 0 0 82 24 24 15.8653846153846 613.461538461538 7.105427357601e-15 7.105427357601e-15 -6.5234628778297e-15
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 0 24 24 31.7307692307692 -253.846153846154 0 0 5.68442981037553e-14
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 -1.84126644719985e-16
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 -2.76295729772112e-16
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 0 24 24 63.4615384615385 -253.846153846154 0 0 1.13704002331359e-13
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 -3.68464814824238e-16
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 -4.60783200410832e-16
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 2 0 0 70 24 24 79.3269230769231 486.538461538462 7.105427357601e-15 7.105427357601e-15 -6.48146921939485e-14
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+20 0 2 0 0 74 24 24 79.3269230769231 528.846153846154 7.105427357601e-15 7.105427357601e-15 -5.24302248215472e-14
+20 0 2 0 0 76 24 24 79.3269230769231 550 7.105427357601e-15 7.105427357601e-15 -4.66380846175283e-14
+20 0 2 0 0 78 24 24 79.3269230769231 571.153846153846 7.105427357601e-15 7.105427357601e-15 -4.17217355734895e-14
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+# iteration 24
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+
+# iteration 24
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+
+
+# iteration 24
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
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+24 0 3 0 0 47 24 24 95.1923076923077 243.269230769231 7.105427357601e-15 7.105427357601e-15 -1.71621698341104e-13
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+24 0 3 0 0 50 24 24 95.1923076923077 275 7.105427357601e-15 7.105427357601e-15 -1.66415081724957e-13
+24 0 3 0 0 51 24 24 95.1923076923077 285.576923076923 7.105427357601e-15 7.105427357601e-15 -1.64015184747033e-13
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+24 0 3 0 0 53 24 24 95.1923076923077 306.730769230769 7.105427357601e-15 7.105427357601e-15 -1.57421508340559e-13
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 140 24 24 111.057692307692 1226.92307692308 0 0 -6.4562324518092e-16
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 -1.91391222311788e-13
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+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 -1.83679899750012e-13
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sx.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/sx.y.asc
new file mode 100644
index 000000000..623c57f21
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sx.y.asc
@@ -0,0 +1,864 @@
+# WHISKY::sx y (sx)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 0
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+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 0
+0 0 0 0 0 24 232 24 0 0 2200 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 2 0 0 24 36 24 0 7.105427357601e-15 126.923076923077 7.105427357601e-15 0
+0 0 2 0 0 24 38 24 0 7.105427357601e-15 148.076923076923 7.105427357601e-15 0
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 3.34649628113776e-60
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 6.69299256227552e-60
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 140 24 79.3269230769231 0 1226.92307692308 0 2.27722500901483e-38
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 39 24 111.057692307692 7.105427357601e-15 158.653846153846 7.105427357601e-15 -5.46349301230419e-29
+28 0 3 0 0 24 40 24 111.057692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 -2.51555552218838e-29
+28 0 3 0 0 24 41 24 111.057692307692 7.105427357601e-15 179.807692307692 7.105427357601e-15 2.81854137160457e-29
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+28 0 3 0 0 24 48 24 111.057692307692 7.105427357601e-15 253.846153846154 7.105427357601e-15 2.9053694241157e-31
+28 0 3 0 0 24 49 24 111.057692307692 7.105427357601e-15 264.423076923077 7.105427357601e-15 -8.38508149379465e-31
+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 -1.9675532411705e-30
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 -8.99315747746944e-31
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.68921745676613e-31
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 1.48156365400676e-28
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sx.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/sx.z.asc
new file mode 100644
index 000000000..2b91cf0b1
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sx.z.asc
@@ -0,0 +1,864 @@
+# WHISKY::sx z (sx)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 0
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 0
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
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+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 0
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+0 0 0 0 0 24 24 56 0 0 0 338.461538461539 0
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+0 0 0 0 0 24 24 88 0 0 0 676.923076923077 0
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+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 0
+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 0
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+0 0 0 0 0 24 24 168 0 0 0 1523.07692307692 0
+0 0 0 0 0 24 24 176 0 0 0 1607.69230769231 0
+0 0 0 0 0 24 24 184 0 0 0 1692.30769230769 0
+0 0 0 0 0 24 24 192 0 0 0 1776.92307692308 0
+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 0
+0 0 0 0 0 24 24 208 0 0 0 1946.15384615385 0
+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 0
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 0
+0 0 0 0 0 24 24 232 0 0 0 2200 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 0
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
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+0 0 1 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 1 0 0 24 24 36 0 0 0 126.923076923077 0
+0 0 1 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 1 0 0 24 24 44 0 0 0 211.538461538462 0
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+0 0 1 0 0 24 24 52 0 0 0 296.153846153846 0
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+0 0 1 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 1 0 0 24 24 68 0 0 0 465.384615384615 0
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+0 0 1 0 0 24 24 76 0 0 0 550 0
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+0 0 1 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 1 0 0 24 24 92 0 0 0 719.230769230769 0
+0 0 1 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 1 0 0 24 24 100 0 0 0 803.846153846154 0
+0 0 1 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 1 0 0 24 24 108 0 0 0 888.461538461538 0
+0 0 1 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 1 0 0 24 24 116 0 0 0 973.076923076923 0
+0 0 1 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 1 0 0 24 24 124 0 0 0 1057.69230769231 0
+0 0 1 0 0 24 24 128 0 0 0 1100 0
+0 0 1 0 0 24 24 132 0 0 0 1142.30769230769 0
+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
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+0 0 2 0 0 24 24 22 0 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 0
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+0 0 2 0 0 24 24 28 0 7.105427357601e-15 7.105427357601e-15 42.3076923076923 0
+0 0 2 0 0 24 24 30 0 7.105427357601e-15 7.105427357601e-15 63.4615384615385 0
+0 0 2 0 0 24 24 32 0 7.105427357601e-15 7.105427357601e-15 84.6153846153846 0
+0 0 2 0 0 24 24 34 0 7.105427357601e-15 7.105427357601e-15 105.769230769231 0
+0 0 2 0 0 24 24 36 0 7.105427357601e-15 7.105427357601e-15 126.923076923077 0
+0 0 2 0 0 24 24 38 0 7.105427357601e-15 7.105427357601e-15 148.076923076923 0
+0 0 2 0 0 24 24 40 0 7.105427357601e-15 7.105427357601e-15 169.230769230769 0
+0 0 2 0 0 24 24 42 0 7.105427357601e-15 7.105427357601e-15 190.384615384615 0
+0 0 2 0 0 24 24 44 0 7.105427357601e-15 7.105427357601e-15 211.538461538462 0
+0 0 2 0 0 24 24 46 0 7.105427357601e-15 7.105427357601e-15 232.692307692308 0
+0 0 2 0 0 24 24 48 0 7.105427357601e-15 7.105427357601e-15 253.846153846154 0
+0 0 2 0 0 24 24 50 0 7.105427357601e-15 7.105427357601e-15 275 0
+0 0 2 0 0 24 24 52 0 7.105427357601e-15 7.105427357601e-15 296.153846153846 0
+0 0 2 0 0 24 24 54 0 7.105427357601e-15 7.105427357601e-15 317.307692307692 0
+0 0 2 0 0 24 24 56 0 7.105427357601e-15 7.105427357601e-15 338.461538461538 0
+0 0 2 0 0 24 24 58 0 7.105427357601e-15 7.105427357601e-15 359.615384615385 0
+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 0
+0 0 2 0 0 24 24 62 0 7.105427357601e-15 7.105427357601e-15 401.923076923077 0
+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 0
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 0
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 0
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 0
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 0
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 0
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 6.20875240105829e-31
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 1.62644160979827e-31
+4 0 1 0 0 24 24 20 15.8653846153846 0 0 -42.3076923076923 -1.24230303408599e-29
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 -2.62947521984996e-29
+4 0 1 0 0 24 24 28 15.8653846153846 0 0 42.3076923076923 -1.24230303408599e-29
+4 0 1 0 0 24 24 32 15.8653846153846 0 0 84.6153846153846 1.62644160979827e-31
+4 0 1 0 0 24 24 36 15.8653846153846 0 0 126.923076923077 6.20875240105829e-31
+4 0 1 0 0 24 24 40 15.8653846153846 0 0 169.230769230769 -9.12928925053296e-32
+4 0 1 0 0 24 24 44 15.8653846153846 0 0 211.538461538462 -3.17758613901997e-31
+4 0 1 0 0 24 24 48 15.8653846153846 0 0 253.846153846154 -1.67983733652354e-31
+4 0 1 0 0 24 24 52 15.8653846153846 0 0 296.153846153846 2.57584196216463e-32
+4 0 1 0 0 24 24 56 15.8653846153846 0 0 338.461538461538 -9.87453011795563e-32
+4 0 1 0 0 24 24 60 15.8653846153846 0 0 380.769230769231 2.1785687585991e-30
+4 0 1 0 0 24 24 64 15.8653846153846 0 0 423.076923076923 8.63182365393515e-26
+4 0 1 0 0 24 24 68 15.8653846153846 0 0 465.384615384615 -1.05903420636497e-33
+4 0 1 0 0 24 24 72 15.8653846153846 0 0 507.692307692308 -8.79768195536896e-33
+4 0 1 0 0 24 24 76 15.8653846153846 0 0 550 3.08946698434341e-32
+4 0 1 0 0 24 24 80 15.8653846153846 0 0 592.307692307692 -6.71954631320814e-33
+4 0 1 0 0 24 24 84 15.8653846153846 0 0 634.615384615385 0
+4 0 1 0 0 24 24 88 15.8653846153846 0 0 676.923076923077 0
+4 0 1 0 0 24 24 92 15.8653846153846 0 0 719.230769230769 0
+4 0 1 0 0 24 24 96 15.8653846153846 0 0 761.538461538462 0
+4 0 1 0 0 24 24 100 15.8653846153846 0 0 803.846153846154 5.76500709669031e-32
+4 0 1 0 0 24 24 104 15.8653846153846 0 0 846.153846153846 -1.05052474770089e-30
+4 0 1 0 0 24 24 108 15.8653846153846 0 0 888.461538461538 -1.5888203503354e-25
+4 0 1 0 0 24 24 112 15.8653846153846 0 0 930.769230769231 4.1579807382785e-35
+4 0 1 0 0 24 24 116 15.8653846153846 0 0 973.076923076923 2.07899036913925e-35
+4 0 1 0 0 24 24 120 15.8653846153846 0 0 1015.38461538462 0
+4 0 1 0 0 24 24 124 15.8653846153846 0 0 1057.69230769231 0
+4 0 1 0 0 24 24 128 15.8653846153846 0 0 1100 0
+4 0 1 0 0 24 24 132 15.8653846153846 0 0 1142.30769230769 0
+4 0 1 0 0 24 24 136 15.8653846153846 0 0 1184.61538461538 0
+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 -1.03383579907867e-36
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 24 18 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 -7.71754997061496e-31
+4 0 2 0 0 24 24 20 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 -1.24230303408599e-29
+4 0 2 0 0 24 24 22 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 4.30840924067351e-29
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 -2.62947521984996e-29
+4 0 2 0 0 24 24 26 15.8653846153846 7.105427357601e-15 7.105427357601e-15 21.1538461538462 4.30840924067351e-29
+4 0 2 0 0 24 24 28 15.8653846153846 7.105427357601e-15 7.105427357601e-15 42.3076923076923 -1.24230303408599e-29
+4 0 2 0 0 24 24 30 15.8653846153846 7.105427357601e-15 7.105427357601e-15 63.4615384615385 -7.71754997061496e-31
+4 0 2 0 0 24 24 32 15.8653846153846 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.62644160979827e-31
+4 0 2 0 0 24 24 34 15.8653846153846 7.105427357601e-15 7.105427357601e-15 105.769230769231 -2.17284693524376e-32
+4 0 2 0 0 24 24 36 15.8653846153846 7.105427357601e-15 7.105427357601e-15 126.923076923077 6.20875240105829e-31
+4 0 2 0 0 24 24 38 15.8653846153846 7.105427357601e-15 7.105427357601e-15 148.076923076923 -8.93667591325122e-32
+4 0 2 0 0 24 24 40 15.8653846153846 7.105427357601e-15 7.105427357601e-15 169.230769230769 -9.12928925053296e-32
+4 0 2 0 0 24 24 42 15.8653846153846 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.17305286181068e-31
+4 0 2 0 0 24 24 44 15.8653846153846 7.105427357601e-15 7.105427357601e-15 211.538461538462 -3.17758613901997e-31
+4 0 2 0 0 24 24 46 15.8653846153846 7.105427357601e-15 7.105427357601e-15 232.692307692308 3.61121995136576e-31
+4 0 2 0 0 24 24 48 15.8653846153846 7.105427357601e-15 7.105427357601e-15 253.846153846154 -1.67983733652354e-31
+4 0 2 0 0 24 24 50 15.8653846153846 7.105427357601e-15 7.105427357601e-15 275 1.53445824730291e-31
+4 0 2 0 0 24 24 52 15.8653846153846 7.105427357601e-15 7.105427357601e-15 296.153846153846 2.57584196216463e-32
+4 0 2 0 0 24 24 54 15.8653846153846 7.105427357601e-15 7.105427357601e-15 317.307692307692 9.87954168411067e-32
+4 0 2 0 0 24 24 56 15.8653846153846 7.105427357601e-15 7.105427357601e-15 338.461538461538 -9.87453011795563e-32
+4 0 2 0 0 24 24 58 15.8653846153846 7.105427357601e-15 7.105427357601e-15 359.615384615385 2.20187159903678e-31
+4 0 2 0 0 24 24 60 15.8653846153846 7.105427357601e-15 7.105427357601e-15 380.769230769231 2.1785687585991e-30
+4 0 2 0 0 24 24 62 15.8653846153846 7.105427357601e-15 7.105427357601e-15 401.923076923077 5.96867539604878e-29
+4 0 2 0 0 24 24 64 15.8653846153846 7.105427357601e-15 7.105427357601e-15 423.076923076923 8.63182365393515e-26
+4 0 2 0 0 24 24 66 15.8653846153846 7.105427357601e-15 7.105427357601e-15 444.230769230769 4.31591177401587e-26
+4 0 2 0 0 24 24 68 15.8653846153846 7.105427357601e-15 7.105427357601e-15 465.384615384615 -1.05903420636497e-33
+4 0 2 0 0 24 24 70 15.8653846153846 7.105427357601e-15 7.105427357601e-15 486.538461538462 -1.08572330243428e-32
+4 0 2 0 0 24 24 72 15.8653846153846 7.105427357601e-15 7.105427357601e-15 507.692307692308 -8.79768195536896e-33
+4 0 2 0 0 24 24 74 15.8653846153846 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.10484939440326e-32
+4 0 2 0 0 24 24 76 15.8653846153846 7.105427357601e-15 7.105427357601e-15 550 3.08946698434341e-32
+4 0 2 0 0 24 24 78 15.8653846153846 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.2087561765113e-32
+4 0 2 0 0 24 24 80 15.8653846153846 7.105427357601e-15 7.105427357601e-15 592.307692307692 -6.71954631320814e-33
+4 0 2 0 0 24 24 82 15.8653846153846 7.105427357601e-15 7.105427357601e-15 613.461538461538 -3.35977315660407e-33
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 24 24 140 31.7307692307692 0 0 1226.92307692308 -2.06767159815733e-36
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 24 18 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 -9.40692186805636e-31
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+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 3.01289338728312e-32
+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.18841429254456e-32
+8 0 2 0 0 24 24 80 31.7307692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 -6.36064802193992e-33
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 24 12 47.5961538461538 0 0 -126.923076923077 5.53074326237263e-31
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+12 0 1 0 0 24 24 120 47.5961538461538 0 0 1015.38461538462 3.49415062318568e-33
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+12 0 1 0 0 24 24 128 47.5961538461538 0 0 1100 -3.14774510739322e-36
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+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 -2.3046410187102e-36
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 24 64 47.5961538461538 7.105427357601e-15 7.105427357601e-15 423.076923076923 8.22327963985413e-26
+12 0 2 0 0 24 24 66 47.5961538461538 7.105427357601e-15 7.105427357601e-15 444.230769230769 4.16618297333791e-26
+12 0 2 0 0 24 24 68 47.5961538461538 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.09086306821701e-27
+12 0 2 0 0 24 24 70 47.5961538461538 7.105427357601e-15 7.105427357601e-15 486.538461538462 5.33678367440024e-28
+12 0 2 0 0 24 24 72 47.5961538461538 7.105427357601e-15 7.105427357601e-15 507.692307692308 -2.35063333369584e-29
+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 -1.17864415149126e-29
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 -6.65496928668395e-32
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 -3.62357657477358e-32
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 -5.92183862863212e-33
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 -3.01497332256283e-33
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 24 24 0 63.4615384615385 0 0 -253.846153846154 -7.21198656555527e-32
+16 0 0 0 0 24 24 8 63.4615384615385 0 0 -169.230769230769 -3.6135092770432e-32
+16 0 0 0 0 24 24 16 63.4615384615385 0 0 -84.6153846153846 8.13006061478033e-32
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 -2.01036618691253e-36
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 24 24 74 63.4615384615385 7.105427357601e-15 7.105427357601e-15 528.846153846154 -2.63616440992026e-29
+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 -6.04333329905723e-31
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 -3.13421620050601e-31
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 24 112 79.3269230769231 0 0 930.769230769231 5.2054399195706e-31
+20 0 1 0 0 24 24 116 79.3269230769231 0 0 973.076923076923 3.01665187553879e-31
+20 0 1 0 0 24 24 120 79.3269230769231 0 0 1015.38461538462 8.27863831506989e-32
+20 0 1 0 0 24 24 124 79.3269230769231 0 0 1057.69230769231 4.17056761854427e-32
+20 0 1 0 0 24 24 128 79.3269230769231 0 0 1100 6.24969220186453e-34
+20 0 1 0 0 24 24 132 79.3269230769231 0 0 1142.30769230769 3.12451322708817e-34
+20 0 1 0 0 24 24 136 79.3269230769231 0 0 1184.61538461538 -7.44733632017477e-38
+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 -1.97140912035457e-36
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 24 24 18 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 4.1564132477903e-29
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+20 0 2 0 0 24 24 66 79.3269230769231 7.105427357601e-15 7.105427357601e-15 444.230769230769 4.08638302328694e-26
+20 0 2 0 0 24 24 68 79.3269230769231 7.105427357601e-15 7.105427357601e-15 465.384615384615 2.75439408885864e-27
+20 0 2 0 0 24 24 70 79.3269230769231 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.3597751276544e-27
+20 0 2 0 0 24 24 72 79.3269230769231 7.105427357601e-15 7.105427357601e-15 507.692307692308 -3.48438335498331e-29
+20 0 2 0 0 24 24 74 79.3269230769231 7.105427357601e-15 7.105427357601e-15 528.846153846154 -2.13185883651009e-29
+20 0 2 0 0 24 24 76 79.3269230769231 7.105427357601e-15 7.105427357601e-15 550 -7.79334318036876e-30
+20 0 2 0 0 24 24 78 79.3269230769231 7.105427357601e-15 7.105427357601e-15 571.153846153846 -3.96116031070124e-30
+20 0 2 0 0 24 24 80 79.3269230769231 7.105427357601e-15 7.105427357601e-15 592.307692307692 -1.28977441033713e-31
+20 0 2 0 0 24 24 82 79.3269230769231 7.105427357601e-15 7.105427357601e-15 613.461538461538 -6.59788530313568e-32
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 3 0 0 24 24 21 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -31.7307692307692 -3.58982275034477e-29
+20 0 3 0 0 24 24 22 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 -1.33004034929439e-28
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+
+# iteration 24
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+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
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+24 0 3 0 0 24 24 50 95.1923076923077 7.105427357601e-15 7.105427357601e-15 275 2.36956061838704e-31
+24 0 3 0 0 24 24 51 95.1923076923077 7.105427357601e-15 7.105427357601e-15 285.576923076923 2.66391019943231e-31
+24 0 3 0 0 24 24 52 95.1923076923077 7.105427357601e-15 7.105427357601e-15 296.153846153846 2.29187906135842e-31
+24 0 3 0 0 24 24 53 95.1923076923077 7.105427357601e-15 7.105427357601e-15 306.730769230769 1.43265837630107e-28
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 24 140 111.057692307692 0 0 1226.92307692308 3.63649376819948e-35
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 24 76 111.057692307692 7.105427357601e-15 7.105427357601e-15 550 -1.81452759009802e-29
+28 0 2 0 0 24 24 78 111.057692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 -4.74903679993357e-29
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+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 -3.84377388730295e-29
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 24 37 111.057692307692 7.105427357601e-15 7.105427357601e-15 137.5 1.22713678231542e-29
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+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 2.96300326421682e-28
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sx_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/sx_maximum.xg
new file mode 100644
index 000000000..0b426389e
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sx_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::sx
+"sx v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 6.3729330973217e-15
+1.5865384615385e+01 2.2223509574773e-14
+2.3798076923077e+01 1.9289899547362e-14
+3.1730769230769e+01 5.6844298103755e-14
+3.9663461538462e+01 3.2195441631075e-14
+4.7596153846154e+01 6.6733232845505e-14
+5.5528846153846e+01 4.4850374920810e-14
+6.3461538461538e+01 1.1370400233136e-13
+7.1394230769231e+01 5.7933861391426e-14
+7.5360576923077e+01 2.4919924012825e-14
+7.9326923076923e+01 1.1241800403901e-13
+8.3293269230769e+01 2.7285991064904e-14
+8.7259615384615e+01 7.2121742104815e-14
+9.1225961538462e+01 2.9812841626039e-14
+9.5192307692308e+01 1.7065277142654e-13
+9.9158653846154e+01 3.2427581406738e-14
+1.0312500000000e+02 8.6288962427050e-14
+1.0709134615385e+02 3.5129851130137e-14
+1.1105769230769e+02 1.6118032587698e-13
+1.1502403846154e+02 3.7944595356839e-14
+1.1899038461538e+02 1.0034952988900e-13
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sx_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/sx_minimum.xg
new file mode 100644
index 000000000..e0920764d
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sx_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::sx
+"sx v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 -1.4363364113605e-14
+1.5865384615385e+01 -2.8370335057357e-14
+2.3798076923077e+01 -4.3167784790698e-14
+3.1730769230769e+01 -5.6844298103755e-14
+3.9663461538462e+01 -7.1812075255746e-14
+4.7596153846154e+01 -8.5243973694437e-14
+5.5528846153846e+01 -1.0065921903406e-13
+6.3461538461538e+01 -1.1370400233136e-13
+7.1394230769231e+01 -1.2938289968234e-13
+7.5360576923077e+01 -1.3656255550457e-13
+7.9326923076923e+01 -1.4220621972199e-13
+8.3293269230769e+01 -1.5094569366655e-13
+8.7259615384615e+01 -1.5814917600631e-13
+9.1225961538462e+01 -1.6536990063099e-13
+9.5192307692308e+01 -1.7065277142654e-13
+9.9158653846154e+01 -1.8035751598390e-13
+1.0312500000000e+02 -1.8789772737588e-13
+1.0709134615385e+02 -1.9542984963970e-13
+1.1105769230769e+02 -2.0197289541363e-13
+1.1502403846154e+02 -2.1045647243280e-13
+1.1899038461538e+02 -2.1794225657214e-13
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sx_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/sx_norm1.xg
new file mode 100644
index 000000000..217de1821
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sx_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::sx
+"sx v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 3.1406506109908e-15
+1.5865384615385e+01 1.5274396567891e-15
+2.3798076923077e+01 9.4722227022252e-15
+3.1730769230769e+01 7.2608467528941e-16
+3.9663461538462e+01 1.5809150239830e-14
+4.7596153846154e+01 4.5869851512024e-15
+5.5528846153846e+01 2.2151906762726e-14
+6.3461538461538e+01 1.4507098029905e-15
+7.1394230769231e+01 2.8501022814625e-14
+7.5360576923077e+01 5.8320381268871e-14
+7.9326923076923e+01 7.6554379355445e-15
+8.3293269230769e+01 6.4662497577052e-14
+8.7259615384615e+01 3.5007577266942e-14
+9.1225961538462e+01 7.1016801767121e-14
+9.5192307692308e+01 2.1813762264999e-15
+9.9158653846154e+01 7.7383156452496e-14
+1.0312500000000e+02 4.1501271161133e-14
+1.0709134615385e+02 8.3750093524449e-14
+1.1105769230769e+02 1.0766312569856e-14
+1.1502403846154e+02 9.0110817781140e-14
+1.1899038461538e+02 4.7980428812438e-14
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sx_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/sx_norm2.xg
new file mode 100644
index 000000000..537803a29
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sx_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::sx
+"sx v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 4.4704447562454e-15
+1.5865384615385e+01 4.1733194598514e-15
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+1.0709134615385e+02 1.0034812016391e-13
+1.1105769230769e+02 2.9415164686547e-14
+1.1502403846154e+02 1.0791814590633e-13
+1.1899038461538e+02 6.7989267330718e-14
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sy.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/sy.x.asc
new file mode 100644
index 000000000..e8609772e
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sy.x.asc
@@ -0,0 +1,864 @@
+# WHISKY::sy x (sy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 0
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 0
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 0
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+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 0
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+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 0
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+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 0 0 0 128 24 24 0 1100 0 0 0
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 0
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 0
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 0
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 0
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 0
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 0
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 0
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 0
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 0
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 0
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 0
+0 0 0 0 0 232 24 24 0 2200 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 0
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
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+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 0
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 0
+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 1 0 0 52 24 24 0 296.153846153846 0 0 0
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+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 0
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 0
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 1 0 0 76 24 24 0 550 0 0 0
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 1 0 0 84 24 24 0 634.615384615385 0 0 0
+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 1 0 0 92 24 24 0 719.230769230769 0 0 0
+0 0 1 0 0 96 24 24 0 761.538461538462 0 0 0
+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 0
+0 0 1 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 0
+0 0 1 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 0
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 0
+0 0 1 0 0 128 24 24 0 1100 0 0 0
+0 0 1 0 0 132 24 24 0 1142.30769230769 0 0 0
+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 20 24 24 0 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 22 24 24 0 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 0
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+0 0 2 0 0 26 24 24 0 21.1538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 28 24 24 0 42.3076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 30 24 24 0 63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 32 24 24 0 84.6153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 34 24 24 0 105.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 36 24 24 0 126.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 38 24 24 0 148.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 40 24 24 0 169.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 42 24 24 0 190.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 44 24 24 0 211.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 46 24 24 0 232.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 48 24 24 0 253.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 50 24 24 0 275 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 52 24 24 0 296.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 54 24 24 0 317.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 56 24 24 0 338.461538461538 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 58 24 24 0 359.615384615385 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 60 24 24 0 380.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 62 24 24 0 401.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 64 24 24 0 423.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 66 24 24 0 444.230769230769 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 68 24 24 0 465.384615384615 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 70 24 24 0 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 72 24 24 0 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 74 24 24 0 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 76 24 24 0 550 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 78 24 24 0 571.153846153846 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 80 24 24 0 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 12 24 24 15.8653846153846 -126.923076923077 0 0 3.7687922201696e-31
+4 0 1 0 0 16 24 24 15.8653846153846 -84.6153846153846 0 0 5.05185159950785e-30
+4 0 1 0 0 20 24 24 15.8653846153846 -42.3076923076923 0 0 -7.82562207316684e-30
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 -2.63872146886069e-29
+4 0 1 0 0 28 24 24 15.8653846153846 42.3076923076923 0 0 -7.82562207316684e-30
+4 0 1 0 0 32 24 24 15.8653846153846 84.6153846153846 0 0 5.05185159950785e-30
+4 0 1 0 0 36 24 24 15.8653846153846 126.923076923077 0 0 3.7687922201696e-31
+4 0 1 0 0 40 24 24 15.8653846153846 169.230769230769 0 0 -2.30025454289796e-32
+4 0 1 0 0 44 24 24 15.8653846153846 211.538461538462 0 0 1.53949280886132e-31
+4 0 1 0 0 48 24 24 15.8653846153846 253.846153846154 0 0 3.27881615766594e-31
+4 0 1 0 0 52 24 24 15.8653846153846 296.153846153846 0 0 1.6148372792063e-33
+4 0 1 0 0 56 24 24 15.8653846153846 338.461538461538 0 0 2.33927868519154e-32
+4 0 1 0 0 60 24 24 15.8653846153846 380.769230769231 0 0 1.13587096100667e-31
+4 0 1 0 0 64 24 24 15.8653846153846 423.076923076923 0 0 8.66527999534994e-26
+4 0 1 0 0 68 24 24 15.8653846153846 465.384615384615 0 0 1.60874974183123e-32
+4 0 1 0 0 72 24 24 15.8653846153846 507.692307692308 0 0 6.17639359498875e-51
+4 0 1 0 0 76 24 24 15.8653846153846 550 0 0 -2.38376011504006e-51
+4 0 1 0 0 80 24 24 15.8653846153846 592.307692307692 0 0 0
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+4 0 1 0 0 92 24 24 15.8653846153846 719.230769230769 0 0 0
+4 0 1 0 0 96 24 24 15.8653846153846 761.538461538462 0 0 0
+4 0 1 0 0 100 24 24 15.8653846153846 803.846153846154 0 0 -1.15444593423986e-31
+4 0 1 0 0 104 24 24 15.8653846153846 846.153846153846 0 0 4.33883607592611e-31
+4 0 1 0 0 108 24 24 15.8653846153846 888.461538461538 0 0 -1.58884410884672e-25
+4 0 1 0 0 112 24 24 15.8653846153846 930.769230769231 0 0 6.2512315575175e-52
+4 0 1 0 0 116 24 24 15.8653846153846 973.076923076923 0 0 3.12561577875875e-52
+4 0 1 0 0 120 24 24 15.8653846153846 1015.38461538462 0 0 0
+4 0 1 0 0 124 24 24 15.8653846153846 1057.69230769231 0 0 0
+4 0 1 0 0 128 24 24 15.8653846153846 1100 0 0 0
+4 0 1 0 0 132 24 24 15.8653846153846 1142.30769230769 0 0 0
+4 0 1 0 0 136 24 24 15.8653846153846 1184.61538461538 0 0 0
+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 18 24 24 15.8653846153846 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -1.73162257924087e-29
+4 0 2 0 0 20 24 24 15.8653846153846 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 -7.82562207316684e-30
+4 0 2 0 0 22 24 24 15.8653846153846 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 3.93237309277591e-29
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 -2.63872146886069e-29
+4 0 2 0 0 26 24 24 15.8653846153846 21.1538461538462 7.105427357601e-15 7.105427357601e-15 3.93237309277591e-29
+4 0 2 0 0 28 24 24 15.8653846153846 42.3076923076923 7.105427357601e-15 7.105427357601e-15 -7.82562207316684e-30
+4 0 2 0 0 30 24 24 15.8653846153846 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -1.73162257924087e-29
+4 0 2 0 0 32 24 24 15.8653846153846 84.6153846153846 7.105427357601e-15 7.105427357601e-15 5.05185159950785e-30
+4 0 2 0 0 34 24 24 15.8653846153846 105.769230769231 7.105427357601e-15 7.105427357601e-15 1.87060988329453e-32
+4 0 2 0 0 36 24 24 15.8653846153846 126.923076923077 7.105427357601e-15 7.105427357601e-15 3.7687922201696e-31
+4 0 2 0 0 38 24 24 15.8653846153846 148.076923076923 7.105427357601e-15 7.105427357601e-15 -3.76304143780688e-32
+4 0 2 0 0 40 24 24 15.8653846153846 169.230769230769 7.105427357601e-15 7.105427357601e-15 -2.30025454289796e-32
+4 0 2 0 0 42 24 24 15.8653846153846 190.384615384615 7.105427357601e-15 7.105427357601e-15 -9.23457877110597e-32
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+4 0 2 0 0 46 24 24 15.8653846153846 232.692307692308 7.105427357601e-15 7.105427357601e-15 -1.50611385970079e-31
+4 0 2 0 0 48 24 24 15.8653846153846 253.846153846154 7.105427357601e-15 7.105427357601e-15 3.27881615766594e-31
+4 0 2 0 0 50 24 24 15.8653846153846 275 7.105427357601e-15 7.105427357601e-15 -8.53503367482076e-32
+4 0 2 0 0 52 24 24 15.8653846153846 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.6148372792063e-33
+4 0 2 0 0 54 24 24 15.8653846153846 317.307692307692 7.105427357601e-15 7.105427357601e-15 3.28385842198668e-34
+4 0 2 0 0 56 24 24 15.8653846153846 338.461538461538 7.105427357601e-15 7.105427357601e-15 2.33927868519154e-32
+4 0 2 0 0 58 24 24 15.8653846153846 359.615384615385 7.105427357601e-15 7.105427357601e-15 -1.05176599484041e-31
+4 0 2 0 0 60 24 24 15.8653846153846 380.769230769231 7.105427357601e-15 7.105427357601e-15 1.13587096100667e-31
+4 0 2 0 0 62 24 24 15.8653846153846 401.923076923077 7.105427357601e-15 7.105427357601e-15 6.06830192391679e-29
+4 0 2 0 0 64 24 24 15.8653846153846 423.076923076923 7.105427357601e-15 7.105427357601e-15 8.66527999534994e-26
+4 0 2 0 0 66 24 24 15.8653846153846 444.230769230769 7.105427357601e-15 7.105427357601e-15 4.33264080204984e-26
+4 0 2 0 0 68 24 24 15.8653846153846 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.60874974183123e-32
+4 0 2 0 0 70 24 24 15.8653846153846 486.538461538462 7.105427357601e-15 7.105427357601e-15 8.04374870915613e-33
+4 0 2 0 0 72 24 24 15.8653846153846 507.692307692308 7.105427357601e-15 7.105427357601e-15 6.17639359498875e-51
+4 0 2 0 0 74 24 24 15.8653846153846 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.89631673997435e-51
+4 0 2 0 0 76 24 24 15.8653846153846 550 7.105427357601e-15 7.105427357601e-15 -2.38376011504006e-51
+4 0 2 0 0 78 24 24 15.8653846153846 571.153846153846 7.105427357601e-15 7.105427357601e-15 -1.19188005752003e-51
+4 0 2 0 0 80 24 24 15.8653846153846 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+4 0 2 0 0 82 24 24 15.8653846153846 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 0 24 24 31.7307692307692 -253.846153846154 0 0 3.03072064375948e-31
+8 0 0 0 0 8 24 24 31.7307692307692 -169.230769230769 0 0 -5.54934994894672e-32
+8 0 0 0 0 16 24 24 31.7307692307692 -84.6153846153846 0 0 4.44749152272821e-30
+8 0 0 0 0 24 24 24 31.7307692307692 0 0 0 -2.17811232870227e-29
+8 0 0 0 0 32 24 24 31.7307692307692 84.6153846153846 0 0 4.44749152272821e-30
+8 0 0 0 0 40 24 24 31.7307692307692 169.230769230769 0 0 -5.54934994894672e-32
+8 0 0 0 0 48 24 24 31.7307692307692 253.846153846154 0 0 3.03072064375948e-31
+8 0 0 0 0 56 24 24 31.7307692307692 338.461538461539 0 0 1.86315260532824e-32
+8 0 0 0 0 64 24 24 31.7307692307692 423.076923076923 0 0 8.42433698339782e-26
+8 0 0 0 0 72 24 24 31.7307692307692 507.692307692308 0 0 -9.71303825481876e-32
+8 0 0 0 0 80 24 24 31.7307692307692 592.307692307692 0 0 3.9867075387514e-40
+8 0 0 0 0 88 24 24 31.7307692307692 676.923076923077 0 0 -2.5095900401092e-40
+8 0 0 0 0 96 24 24 31.7307692307692 761.538461538462 0 0 -4.03496967256188e-34
+8 0 0 0 0 104 24 24 31.7307692307692 846.153846153846 0 0 -9.63074882640113e-28
+8 0 0 0 0 112 24 24 31.7307692307692 930.769230769231 0 0 1.2502463115035e-51
+8 0 0 0 0 120 24 24 31.7307692307692 1015.38461538462 0 0 0
+8 0 0 0 0 128 24 24 31.7307692307692 1100 0 0 0
+8 0 0 0 0 136 24 24 31.7307692307692 1184.61538461538 0 0 0
+8 0 0 0 0 144 24 24 31.7307692307692 1269.23076923077 0 0 0
+8 0 0 0 0 152 24 24 31.7307692307692 1353.84615384615 0 0 0
+8 0 0 0 0 160 24 24 31.7307692307692 1438.46153846154 0 0 0
+8 0 0 0 0 168 24 24 31.7307692307692 1523.07692307692 0 0 0
+8 0 0 0 0 176 24 24 31.7307692307692 1607.69230769231 0 0 0
+8 0 0 0 0 184 24 24 31.7307692307692 1692.30769230769 0 0 0
+8 0 0 0 0 192 24 24 31.7307692307692 1776.92307692308 0 0 0
+8 0 0 0 0 200 24 24 31.7307692307692 1861.53846153846 0 0 0
+8 0 0 0 0 208 24 24 31.7307692307692 1946.15384615385 0 0 0
+8 0 0 0 0 216 24 24 31.7307692307692 2030.76923076923 0 0 0
+8 0 0 0 0 224 24 24 31.7307692307692 2115.38461538462 0 0 0
+8 0 0 0 0 232 24 24 31.7307692307692 2200 0 0 0
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 3.34649628113777e-60
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 224 24 24 63.4615384615385 2115.38461538462 0 0 0
+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 12 24 24 63.4615384615385 -126.923076923077 0 0 2.2787446930153e-31
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+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 132 24 24 111.057692307692 1142.30769230769 0 0 2.13748750350202e-33
+28 0 1 0 0 136 24 24 111.057692307692 1184.61538461538 0 0 7.65111554481832e-35
+28 0 1 0 0 140 24 24 111.057692307692 1226.92307692308 0 0 3.83260039260523e-35
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 -1.78380958501728e-30
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 -3.23227407144493e-30
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 5.54789005400729e-30
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sy.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/sy.y.asc
new file mode 100644
index 000000000..b40cfd92c
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sy.y.asc
@@ -0,0 +1,864 @@
+# WHISKY::sy y (sy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 -0
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 -0
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+0 0 0 0 0 24 192 24 0 0 1776.92307692308 0 0
+0 0 0 0 0 24 200 24 0 0 1861.53846153846 0 0
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+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 0
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 0
+0 0 0 0 0 24 232 24 0 0 2200 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 -0
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 -0
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+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
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+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 0
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+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 2.22235095747728e-14
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 -3.68464814824238e-16
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 45 24 111.057692307692 7.105427357601e-15 222.115384615385 7.105427357601e-15 -2.01758372389819e-13
+28 0 3 0 0 24 46 24 111.057692307692 7.105427357601e-15 232.692307692308 7.105427357601e-15 -2.01544170310384e-13
+28 0 3 0 0 24 47 24 111.057692307692 7.105427357601e-15 243.269230769231 7.105427357601e-15 -2.00324530765045e-13
+28 0 3 0 0 24 48 24 111.057692307692 7.105427357601e-15 253.846153846154 7.105427357601e-15 -1.99104891219706e-13
+28 0 3 0 0 24 49 24 111.057692307692 7.105427357601e-15 264.423076923077 7.105427357601e-15 -1.96661370239556e-13
+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 -1.94217849259405e-13
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 -1.91391222315596e-13
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 -1.88564595371787e-13
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 -1.83679899749976e-13
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sy.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/sy.z.asc
new file mode 100644
index 000000000..63d3d4431
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sy.z.asc
@@ -0,0 +1,864 @@
+# WHISKY::sy z (sy)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 0
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 0
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 0 0 0 24 24 48 0 0 0 253.846153846154 0
+0 0 0 0 0 24 24 56 0 0 0 338.461538461539 0
+0 0 0 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 0 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 0 0 0 24 24 80 0 0 0 592.307692307692 0
+0 0 0 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 0 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 0 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 0 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 0 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 0 0 0 24 24 128 0 0 0 1100 0
+0 0 0 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 0
+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 0
+0 0 0 0 0 24 24 160 0 0 0 1438.46153846154 0
+0 0 0 0 0 24 24 168 0 0 0 1523.07692307692 0
+0 0 0 0 0 24 24 176 0 0 0 1607.69230769231 0
+0 0 0 0 0 24 24 184 0 0 0 1692.30769230769 0
+0 0 0 0 0 24 24 192 0 0 0 1776.92307692308 0
+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 0
+0 0 0 0 0 24 24 208 0 0 0 1946.15384615385 0
+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 0
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 0
+0 0 0 0 0 24 24 232 0 0 0 2200 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 0
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 24 24 28 0 0 0 42.3076923076923 0
+0 0 1 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 1 0 0 24 24 36 0 0 0 126.923076923077 0
+0 0 1 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 1 0 0 24 24 44 0 0 0 211.538461538462 0
+0 0 1 0 0 24 24 48 0 0 0 253.846153846154 0
+0 0 1 0 0 24 24 52 0 0 0 296.153846153846 0
+0 0 1 0 0 24 24 56 0 0 0 338.461538461538 0
+0 0 1 0 0 24 24 60 0 0 0 380.769230769231 0
+0 0 1 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 1 0 0 24 24 68 0 0 0 465.384615384615 0
+0 0 1 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 1 0 0 24 24 76 0 0 0 550 0
+0 0 1 0 0 24 24 80 0 0 0 592.307692307692 0
+0 0 1 0 0 24 24 84 0 0 0 634.615384615385 0
+0 0 1 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 1 0 0 24 24 92 0 0 0 719.230769230769 0
+0 0 1 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 1 0 0 24 24 100 0 0 0 803.846153846154 0
+0 0 1 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 1 0 0 24 24 108 0 0 0 888.461538461538 0
+0 0 1 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 1 0 0 24 24 116 0 0 0 973.076923076923 0
+0 0 1 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 1 0 0 24 24 124 0 0 0 1057.69230769231 0
+0 0 1 0 0 24 24 128 0 0 0 1100 0
+0 0 1 0 0 24 24 132 0 0 0 1142.30769230769 0
+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
+0 0 2 0 0 24 24 20 0 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 0
+0 0 2 0 0 24 24 22 0 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 24 24 26 0 7.105427357601e-15 7.105427357601e-15 21.1538461538462 0
+0 0 2 0 0 24 24 28 0 7.105427357601e-15 7.105427357601e-15 42.3076923076923 0
+0 0 2 0 0 24 24 30 0 7.105427357601e-15 7.105427357601e-15 63.4615384615385 0
+0 0 2 0 0 24 24 32 0 7.105427357601e-15 7.105427357601e-15 84.6153846153846 0
+0 0 2 0 0 24 24 34 0 7.105427357601e-15 7.105427357601e-15 105.769230769231 0
+0 0 2 0 0 24 24 36 0 7.105427357601e-15 7.105427357601e-15 126.923076923077 0
+0 0 2 0 0 24 24 38 0 7.105427357601e-15 7.105427357601e-15 148.076923076923 0
+0 0 2 0 0 24 24 40 0 7.105427357601e-15 7.105427357601e-15 169.230769230769 0
+0 0 2 0 0 24 24 42 0 7.105427357601e-15 7.105427357601e-15 190.384615384615 0
+0 0 2 0 0 24 24 44 0 7.105427357601e-15 7.105427357601e-15 211.538461538462 0
+0 0 2 0 0 24 24 46 0 7.105427357601e-15 7.105427357601e-15 232.692307692308 0
+0 0 2 0 0 24 24 48 0 7.105427357601e-15 7.105427357601e-15 253.846153846154 0
+0 0 2 0 0 24 24 50 0 7.105427357601e-15 7.105427357601e-15 275 0
+0 0 2 0 0 24 24 52 0 7.105427357601e-15 7.105427357601e-15 296.153846153846 0
+0 0 2 0 0 24 24 54 0 7.105427357601e-15 7.105427357601e-15 317.307692307692 0
+0 0 2 0 0 24 24 56 0 7.105427357601e-15 7.105427357601e-15 338.461538461538 0
+0 0 2 0 0 24 24 58 0 7.105427357601e-15 7.105427357601e-15 359.615384615385 0
+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 0
+0 0 2 0 0 24 24 62 0 7.105427357601e-15 7.105427357601e-15 401.923076923077 0
+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 0
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 0
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 0
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 0
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 0
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 0
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 6.20904837491953e-31
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 1.62650195899853e-31
+4 0 1 0 0 24 24 20 15.8653846153846 0 0 -42.3076923076923 -1.23901584582429e-29
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 -2.63872146886069e-29
+4 0 1 0 0 24 24 28 15.8653846153846 0 0 42.3076923076923 -1.23901584582429e-29
+4 0 1 0 0 24 24 32 15.8653846153846 0 0 84.6153846153846 1.62650195899853e-31
+4 0 1 0 0 24 24 36 15.8653846153846 0 0 126.923076923077 6.20904837491953e-31
+4 0 1 0 0 24 24 40 15.8653846153846 0 0 169.230769230769 -9.13878150520066e-32
+4 0 1 0 0 24 24 44 15.8653846153846 0 0 211.538461538462 -3.17751642297924e-31
+4 0 1 0 0 24 24 48 15.8653846153846 0 0 253.846153846154 -1.6796361748004e-31
+4 0 1 0 0 24 24 52 15.8653846153846 0 0 296.153846153846 2.56348567014911e-32
+4 0 1 0 0 24 24 56 15.8653846153846 0 0 338.461538461538 -9.59599797425763e-32
+4 0 1 0 0 24 24 60 15.8653846153846 0 0 380.769230769231 -1.06530758707517e-31
+4 0 1 0 0 24 24 64 15.8653846153846 0 0 423.076923076923 8.69249736267757e-26
+4 0 1 0 0 24 24 68 15.8653846153846 0 0 465.384615384615 -1.05903420636497e-33
+4 0 1 0 0 24 24 72 15.8653846153846 0 0 507.692307692308 -8.79768195536896e-33
+4 0 1 0 0 24 24 76 15.8653846153846 0 0 550 3.08946698434341e-32
+4 0 1 0 0 24 24 80 15.8653846153846 0 0 592.307692307692 -6.71954631320814e-33
+4 0 1 0 0 24 24 84 15.8653846153846 0 0 634.615384615385 0
+4 0 1 0 0 24 24 88 15.8653846153846 0 0 676.923076923077 0
+4 0 1 0 0 24 24 92 15.8653846153846 0 0 719.230769230769 0
+4 0 1 0 0 24 24 96 15.8653846153846 0 0 761.538461538462 0
+4 0 1 0 0 24 24 100 15.8653846153846 0 0 803.846153846154 5.76500709669031e-32
+4 0 1 0 0 24 24 104 15.8653846153846 0 0 846.153846153846 -1.05066061825572e-30
+4 0 1 0 0 24 24 108 15.8653846153846 0 0 888.461538461538 -1.58883001033707e-25
+4 0 1 0 0 24 24 112 15.8653846153846 0 0 930.769230769231 4.1579807382785e-35
+4 0 1 0 0 24 24 116 15.8653846153846 0 0 973.076923076923 2.07899036913925e-35
+4 0 1 0 0 24 24 120 15.8653846153846 0 0 1015.38461538462 0
+4 0 1 0 0 24 24 124 15.8653846153846 0 0 1057.69230769231 0
+4 0 1 0 0 24 24 128 15.8653846153846 0 0 1100 0
+4 0 1 0 0 24 24 132 15.8653846153846 0 0 1142.30769230769 0
+4 0 1 0 0 24 24 136 15.8653846153846 0 0 1184.61538461538 0
+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 -1.03383579907867e-36
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 24 18 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 -7.71443404383105e-31
+4 0 2 0 0 24 24 20 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 -1.23901584582429e-29
+4 0 2 0 0 24 24 22 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 4.3106375590107e-29
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 -2.63872146886069e-29
+4 0 2 0 0 24 24 26 15.8653846153846 7.105427357601e-15 7.105427357601e-15 21.1538461538462 4.3106375590107e-29
+4 0 2 0 0 24 24 28 15.8653846153846 7.105427357601e-15 7.105427357601e-15 42.3076923076923 -1.23901584582429e-29
+4 0 2 0 0 24 24 30 15.8653846153846 7.105427357601e-15 7.105427357601e-15 63.4615384615385 -7.71443404383105e-31
+4 0 2 0 0 24 24 32 15.8653846153846 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.62650195899853e-31
+4 0 2 0 0 24 24 34 15.8653846153846 7.105427357601e-15 7.105427357601e-15 105.769230769231 -2.02405990296684e-32
+4 0 2 0 0 24 24 36 15.8653846153846 7.105427357601e-15 7.105427357601e-15 126.923076923077 6.20904837491953e-31
+4 0 2 0 0 24 24 38 15.8653846153846 7.105427357601e-15 7.105427357601e-15 148.076923076923 -8.93540124420856e-32
+4 0 2 0 0 24 24 40 15.8653846153846 7.105427357601e-15 7.105427357601e-15 169.230769230769 -9.13878150520066e-32
+4 0 2 0 0 24 24 42 15.8653846153846 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.17334431025045e-31
+4 0 2 0 0 24 24 44 15.8653846153846 7.105427357601e-15 7.105427357601e-15 211.538461538462 -3.17751642297924e-31
+4 0 2 0 0 24 24 46 15.8653846153846 7.105427357601e-15 7.105427357601e-15 232.692307692308 3.61100385592417e-31
+4 0 2 0 0 24 24 48 15.8653846153846 7.105427357601e-15 7.105427357601e-15 253.846153846154 -1.6796361748004e-31
+4 0 2 0 0 24 24 50 15.8653846153846 7.105427357601e-15 7.105427357601e-15 275 1.53476712757297e-31
+4 0 2 0 0 24 24 52 15.8653846153846 7.105427357601e-15 7.105427357601e-15 296.153846153846 2.56348567014911e-32
+4 0 2 0 0 24 24 54 15.8653846153846 7.105427357601e-15 7.105427357601e-15 317.307692307692 9.87932516819687e-32
+4 0 2 0 0 24 24 56 15.8653846153846 7.105427357601e-15 7.105427357601e-15 338.461538461538 -9.59599797425763e-32
+4 0 2 0 0 24 24 58 15.8653846153846 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.96105344815206e-31
+4 0 2 0 0 24 24 60 15.8653846153846 7.105427357601e-15 7.105427357601e-15 380.769230769231 -1.06530758707517e-31
+4 0 2 0 0 24 24 62 15.8653846153846 7.105427357601e-15 7.105427357601e-15 401.923076923077 5.91863407518443e-29
+4 0 2 0 0 24 24 64 15.8653846153846 7.105427357601e-15 7.105427357601e-15 423.076923076923 8.69249736267757e-26
+4 0 2 0 0 24 24 66 15.8653846153846 7.105427357601e-15 7.105427357601e-15 444.230769230769 4.34624862838707e-26
+4 0 2 0 0 24 24 68 15.8653846153846 7.105427357601e-15 7.105427357601e-15 465.384615384615 -1.05903420636497e-33
+4 0 2 0 0 24 24 70 15.8653846153846 7.105427357601e-15 7.105427357601e-15 486.538461538462 -1.08572330243428e-32
+4 0 2 0 0 24 24 72 15.8653846153846 7.105427357601e-15 7.105427357601e-15 507.692307692308 -8.79768195536896e-33
+4 0 2 0 0 24 24 74 15.8653846153846 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.10484939440326e-32
+4 0 2 0 0 24 24 76 15.8653846153846 7.105427357601e-15 7.105427357601e-15 550 3.08946698434341e-32
+4 0 2 0 0 24 24 78 15.8653846153846 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.2087561765113e-32
+4 0 2 0 0 24 24 80 15.8653846153846 7.105427357601e-15 7.105427357601e-15 592.307692307692 -6.71954631320814e-33
+4 0 2 0 0 24 24 82 15.8653846153846 7.105427357601e-15 7.105427357601e-15 613.461538461538 -3.35977315660407e-33
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 24 0 31.7307692307692 0 0 -253.846153846154 -1.18925728295738e-31
+8 0 0 0 0 24 24 8 31.7307692307692 0 0 -169.230769230769 -7.46584780273607e-32
+8 0 0 0 0 24 24 16 31.7307692307692 0 0 -84.6153846153846 1.40012736156407e-31
+8 0 0 0 0 24 24 24 31.7307692307692 0 0 0 -2.17811232870227e-29
+8 0 0 0 0 24 24 32 31.7307692307692 0 0 84.6153846153846 1.40012736156407e-31
+8 0 0 0 0 24 24 40 31.7307692307692 0 0 169.230769230769 -7.46584780273607e-32
+8 0 0 0 0 24 24 48 31.7307692307692 0 0 253.846153846154 -1.18925728295738e-31
+8 0 0 0 0 24 24 56 31.7307692307692 0 0 338.461538461539 -1.30476387361239e-31
+8 0 0 0 0 24 24 64 31.7307692307692 0 0 423.076923076923 8.54151020372014e-26
+8 0 0 0 0 24 24 72 31.7307692307692 0 0 507.692307692308 -9.5243821171166e-32
+8 0 0 0 0 24 24 80 31.7307692307692 0 0 592.307692307692 -6.36116442144058e-33
+8 0 0 0 0 24 24 88 31.7307692307692 0 0 676.923076923077 -7.76618053489535e-38
+8 0 0 0 0 24 24 96 31.7307692307692 0 0 761.538461538462 -2.25597370952502e-34
+8 0 0 0 0 24 24 104 31.7307692307692 0 0 846.153846153846 -9.45444894265135e-28
+8 0 0 0 0 24 24 112 31.7307692307692 0 0 930.769230769231 8.315961476557e-35
+8 0 0 0 0 24 24 120 31.7307692307692 0 0 1015.38461538462 0
+8 0 0 0 0 24 24 128 31.7307692307692 0 0 1100 0
+8 0 0 0 0 24 24 136 31.7307692307692 0 0 1184.61538461538 0
+8 0 0 0 0 24 24 144 31.7307692307692 0 0 1269.23076923077 -4.13534319631466e-36
+8 0 0 0 0 24 24 152 31.7307692307692 0 0 1353.84615384615 0
+8 0 0 0 0 24 24 160 31.7307692307692 0 0 1438.46153846154 0
+8 0 0 0 0 24 24 168 31.7307692307692 0 0 1523.07692307692 -8.65979804079828e-38
+8 0 0 0 0 24 24 176 31.7307692307692 0 0 1607.69230769231 2.09653542568909e-37
+8 0 0 0 0 24 24 184 31.7307692307692 0 0 1692.30769230769 -2.58003250307536e-38
+8 0 0 0 0 24 24 192 31.7307692307692 0 0 1776.92307692308 0
+8 0 0 0 0 24 24 200 31.7307692307692 0 0 1861.53846153846 0
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+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 0
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 24 24 112 31.7307692307692 0 0 930.769230769231 8.315961476557e-35
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+8 0 1 0 0 24 24 140 31.7307692307692 0 0 1226.92307692308 -2.06767159815733e-36
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 24 66 31.7307692307692 7.105427357601e-15 7.105427357601e-15 444.230769230769 4.30045652211118e-26
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+8 0 2 0 0 24 24 70 31.7307692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 2.969665806005e-28
+8 0 2 0 0 24 24 72 31.7307692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 -9.5243821171166e-32
+8 0 2 0 0 24 24 74 31.7307692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 -3.25555510643811e-32
+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 3.01327190424039e-32
+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.18857773104816e-32
+8 0 2 0 0 24 24 80 31.7307692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 -6.36116442144058e-33
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 24 12 47.5961538461538 0 0 -126.923076923077 5.61792193250895e-31
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+12 0 1 0 0 24 24 116 47.5961538461538 0 0 973.076923076923 5.81335648535192e-31
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+12 0 1 0 0 24 24 124 47.5961538461538 0 0 1057.69230769231 1.73935451825e-33
+12 0 1 0 0 24 24 128 47.5961538461538 0 0 1100 -3.14640201589984e-36
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+12 0 1 0 0 24 24 136 47.5961538461538 0 0 1184.61538461538 -3.27230487830059e-38
+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 -2.3046410187102e-36
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 24 18 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 -1.00757582062773e-30
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+12 0 2 0 0 24 24 54 47.5961538461538 7.105427357601e-15 7.105427357601e-15 317.307692307692 -3.20924599209581e-33
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+12 0 2 0 0 24 24 62 47.5961538461538 7.105427357601e-15 7.105427357601e-15 401.923076923077 2.84858826956175e-27
+12 0 2 0 0 24 24 64 47.5961538461538 7.105427357601e-15 7.105427357601e-15 423.076923076923 8.3115673222842e-26
+12 0 2 0 0 24 24 66 47.5961538461538 7.105427357601e-15 7.105427357601e-15 444.230769230769 4.21754533494232e-26
+12 0 2 0 0 24 24 68 47.5961538461538 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.23523347600447e-27
+12 0 2 0 0 24 24 70 47.5961538461538 7.105427357601e-15 7.105427357601e-15 486.538461538462 6.07379453839217e-28
+12 0 2 0 0 24 24 72 47.5961538461538 7.105427357601e-15 7.105427357601e-15 507.692307692308 -2.04745683260356e-29
+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 -1.0269868031308e-29
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 -6.51677365803472e-32
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 -3.55432825326766e-32
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 -5.91882848500603e-33
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 -3.01346625021185e-33
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 24 160 63.4615384615385 0 0 1438.46153846154 -3.80773013137785e-40
+16 0 0 0 0 24 24 168 63.4615384615385 0 0 1523.07692307692 -8.39624634849547e-38
+16 0 0 0 0 24 24 176 63.4615384615385 0 0 1607.69230769231 2.06081100181578e-37
+16 0 0 0 0 24 24 184 63.4615384615385 0 0 1692.30769230769 -2.51148809250384e-38
+16 0 0 0 0 24 24 192 63.4615384615385 0 0 1776.92307692308 -3.0680485843701e-41
+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 -2.08453366130525e-45
+16 0 0 0 0 24 24 208 63.4615384615385 0 0 1946.15384615385 -8.34386829469428e-50
+16 0 0 0 0 24 24 216 63.4615384615385 0 0 2030.76923076923 0
+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 0
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 24 108 63.4615384615385 0 0 888.461538461538 -4.62818516992114e-28
+16 0 1 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 2.31829572364897e-30
+16 0 1 0 0 24 24 116 63.4615384615385 0 0 973.076923076923 1.162629717263e-30
+16 0 1 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 6.96371087703182e-33
+16 0 1 0 0 24 24 124 63.4615384615385 0 0 1057.69230769231 3.47870903650001e-33
+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 -6.29280403179969e-36
+16 0 1 0 0 24 24 132 63.4615384615385 0 0 1142.30769230769 -3.17912506468285e-36
+16 0 1 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 -6.54460975660119e-38
+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 -2.01036618691253e-36
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 24 18 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 -1.04696551068448e-30
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+16 0 2 0 0 24 24 66 63.4615384615385 7.105427357601e-15 7.105427357601e-15 444.230769230769 4.16328026163647e-26
+16 0 2 0 0 24 24 68 63.4615384615385 7.105427357601e-15 7.105427357601e-15 465.384615384615 2.24072349380659e-27
+16 0 2 0 0 24 24 70 63.4615384615385 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.09875711382287e-27
+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 -4.32092661608553e-29
+16 0 2 0 0 24 24 74 63.4615384615385 7.105427357601e-15 7.105427357601e-15 528.846153846154 -2.19443594741924e-29
+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 -6.79452787529436e-31
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 -3.50977275833589e-31
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 -2.25017641377413e-32
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 -1.13384698109874e-32
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 24 112 79.3269230769231 0 0 930.769230769231 5.30076410744536e-30
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+20 0 1 0 0 24 24 120 79.3269230769231 0 0 1015.38461538462 8.09337547716929e-32
+20 0 1 0 0 24 24 124 79.3269230769231 0 0 1057.69230769231 4.07793626266033e-32
+20 0 1 0 0 24 24 128 79.3269230769231 0 0 1100 6.24970481513835e-34
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+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 -1.97140927849643e-36
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 2 0 0 24 24 70 79.3269230769231 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.51346475307701e-27
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+20 0 2 0 0 24 24 78 79.3269230769231 7.105427357601e-15 7.105427357601e-15 571.153846153846 -5.2522714665977e-30
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 3 0 0 24 24 37 79.3269230769231 7.105427357601e-15 7.105427357601e-15 137.5 -1.06675019342495e-28
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 24 140 111.057692307692 0 0 1226.92307692308 3.63655080588731e-35
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 24 66 111.057692307692 7.105427357601e-15 7.105427357601e-15 444.230769230769 4.065614530245e-26
+28 0 2 0 0 24 24 68 111.057692307692 7.105427357601e-15 7.105427357601e-15 465.384615384615 3.57096861383628e-27
+28 0 2 0 0 24 24 70 111.057692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.86816701487419e-27
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+28 0 2 0 0 24 24 74 111.057692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 -2.962773848639e-30
+28 0 2 0 0 24 24 76 111.057692307692 7.105427357601e-15 7.105427357601e-15 550 -1.71290963609371e-28
+28 0 2 0 0 24 24 78 111.057692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 -8.62530390625758e-29
+28 0 2 0 0 24 24 80 111.057692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 -1.21511451578023e-30
+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 -6.2765420275227e-31
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 24 24 21 111.057692307692 7.105427357601e-15 7.105427357601e-15 -31.7307692307692 -1.24130817592567e-29
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+28 0 3 0 0 24 24 37 111.057692307692 7.105427357601e-15 7.105427357601e-15 137.5 -6.8472340870177e-28
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+28 0 3 0 0 24 24 43 111.057692307692 7.105427357601e-15 7.105427357601e-15 200.961538461539 -2.21542029714754e-31
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+28 0 3 0 0 24 24 45 111.057692307692 7.105427357601e-15 7.105427357601e-15 222.115384615385 -3.19541637063954e-28
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+28 0 3 0 0 24 24 49 111.057692307692 7.105427357601e-15 7.105427357601e-15 264.423076923077 6.85106660406457e-30
+28 0 3 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 1.70839778339237e-29
+28 0 3 0 0 24 24 51 111.057692307692 7.105427357601e-15 7.105427357601e-15 285.576923076923 2.87500686414905e-28
+28 0 3 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 5.57917394995886e-28
+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 2.96138675856015e-28
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sy_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/sy_maximum.xg
new file mode 100644
index 000000000..760972b7d
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sy_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::sy
+"sy v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 6.3729330973217e-15
+1.5865384615385e+01 2.2223509574773e-14
+2.3798076923077e+01 1.9289899547366e-14
+3.1730769230769e+01 5.6844298103753e-14
+3.9663461538462e+01 3.2195441631085e-14
+4.7596153846154e+01 6.6733232845508e-14
+5.5528846153846e+01 4.4850374920816e-14
+6.3461538461538e+01 1.1370400233136e-13
+7.1394230769231e+01 5.7933861391435e-14
+7.5360576923077e+01 2.4919924266326e-14
+7.9326923076923e+01 1.1241800403671e-13
+8.3293269230769e+01 2.7285993158004e-14
+8.7259615384615e+01 7.2121744432503e-14
+9.1225961538462e+01 2.9812847231814e-14
+9.5192307692308e+01 1.7065277157518e-13
+9.9158653846154e+01 3.2427591852634e-14
+1.0312500000000e+02 8.6288983200365e-14
+1.0709134615385e+02 3.5129866895518e-14
+1.1105769230769e+02 1.6118032040550e-13
+1.1502403846154e+02 3.7944616197148e-14
+1.1899038461538e+02 1.0034959830940e-13
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sy_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/sy_minimum.xg
new file mode 100644
index 000000000..53e5e33a5
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sy_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::sy
+"sy v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 -1.4363364113605e-14
+1.5865384615385e+01 -2.8370335057357e-14
+2.3798076923077e+01 -4.3167784790697e-14
+3.1730769230769e+01 -5.6844298103753e-14
+3.9663461538462e+01 -7.1812075255746e-14
+4.7596153846154e+01 -8.5243973694436e-14
+5.5528846153846e+01 -1.0065921903406e-13
+6.3461538461538e+01 -1.1370400233136e-13
+7.1394230769231e+01 -1.2938289968234e-13
+7.5360576923077e+01 -1.3656255550457e-13
+7.9326923076923e+01 -1.4220621972199e-13
+8.3293269230769e+01 -1.5094569353239e-13
+8.7259615384615e+01 -1.5814917573798e-13
+9.1225961538462e+01 -1.6536989980715e-13
+9.5192307692308e+01 -1.7065277157518e-13
+9.9158653846154e+01 -1.8035762267762e-13
+1.0312500000000e+02 -1.8789784916329e-13
+1.0709134615385e+02 -1.9542998882022e-13
+1.1105769230769e+02 -2.0197257446926e-13
+1.1502403846154e+02 -2.1045665084966e-13
+1.1899038461538e+02 -2.1794245637649e-13
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sy_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/sy_norm1.xg
new file mode 100644
index 000000000..649e045e6
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sy_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::sy
+"sy v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 3.1406531512216e-15
+1.5865384615385e+01 1.5274396479739e-15
+2.3798076923077e+01 9.4722630757037e-15
+3.1730769230769e+01 7.2608467513033e-16
+3.9663461538462e+01 1.5809149076013e-14
+4.7596153846154e+01 4.5869849303868e-15
+5.5528846153846e+01 2.2151897516687e-14
+6.3461538461538e+01 1.4507097953811e-15
+7.1394230769231e+01 2.8501015170359e-14
+7.5360576923077e+01 5.8320464465744e-14
+7.9326923076923e+01 7.6554322053831e-15
+8.3293269230769e+01 6.4662450863964e-14
+8.7259615384615e+01 3.5007558520257e-14
+9.1225961538462e+01 7.1016913808130e-14
+9.5192307692308e+01 2.1813760331143e-15
+9.9158653846154e+01 7.7382775281040e-14
+1.0312500000000e+02 4.1501224263039e-14
+1.0709134615385e+02 8.3749649912890e-14
+1.1105769230769e+02 1.0766301165858e-14
+1.1502403846154e+02 9.0110223684262e-14
+1.1899038461538e+02 4.7980319164350e-14
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sy_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/sy_norm2.xg
new file mode 100644
index 000000000..6e7c6e522
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sy_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::sy
+"sy v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 4.4704457748600e-15
+1.5865384615385e+01 4.1733194586254e-15
+2.3798076923077e+01 1.3462754124246e-14
+3.1730769230769e+01 4.1844215307743e-15
+3.9663461538462e+01 2.2454238015496e-14
+4.7596153846154e+01 1.2505137924501e-14
+5.5528846153846e+01 3.1444170714105e-14
+6.3461538461538e+01 8.3578052228853e-15
+7.1394230769231e+01 4.0433384104925e-14
+7.5360576923077e+01 7.0024237911540e-14
+7.9326923076923e+01 2.0878196818459e-14
+8.3293269230769e+01 7.7605690666107e-14
+8.7259615384615e+01 4.9627888559411e-14
+9.1225961538462e+01 8.5188653349639e-14
+9.5192307692308e+01 1.2584639273130e-14
+9.9158653846154e+01 9.2769978208220e-14
+1.0312500000000e+02 5.8816964536009e-14
+1.0709134615385e+02 1.0034728854546e-13
+1.1105769230769e+02 2.9415153496740e-14
+1.1502403846154e+02 1.0791696434570e-13
+1.1899038461538e+02 6.7989212903513e-14
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sz.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/sz.x.asc
new file mode 100644
index 000000000..857463f2d
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sz.x.asc
@@ -0,0 +1,864 @@
+# WHISKY::sz x (sz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 0
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 0
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 0
+0 0 0 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 0 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 0 0 0 96 24 24 0 761.538461538462 0 0 0
+0 0 0 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 0 0 0 128 24 24 0 1100 0 0 0
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 0
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+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 2.06767159815733e-36
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 2.30467427056247e-36
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 224 24 24 63.4615384615385 2115.38461538462 0 0 0
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 2.01045485851859e-36
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 2.00035310989518e-36
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 76 24 24 111.057692307692 550 7.105427357601e-15 7.105427357601e-15 1.3232927523869e-28
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 37 24 24 111.057692307692 137.5 7.105427357601e-15 7.105427357601e-15 4.16789984773667e-28
+28 0 3 0 0 38 24 24 111.057692307692 148.076923076923 7.105427357601e-15 7.105427357601e-15 1.02893378531627e-28
+28 0 3 0 0 39 24 24 111.057692307692 158.653846153846 7.105427357601e-15 7.105427357601e-15 4.70826680354251e-28
+28 0 3 0 0 40 24 24 111.057692307692 169.230769230769 7.105427357601e-15 7.105427357601e-15 8.29700953416824e-29
+28 0 3 0 0 41 24 24 111.057692307692 179.807692307692 7.105427357601e-15 7.105427357601e-15 6.46362382923686e-28
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+28 0 3 0 0 43 24 24 111.057692307692 200.961538461539 7.105427357601e-15 7.105427357601e-15 -3.15369685311377e-29
+28 0 3 0 0 44 24 24 111.057692307692 211.538461538462 7.105427357601e-15 7.105427357601e-15 -4.41377861422521e-29
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+28 0 3 0 0 46 24 24 111.057692307692 232.692307692308 7.105427357601e-15 7.105427357601e-15 -7.48102362363508e-31
+28 0 3 0 0 47 24 24 111.057692307692 243.269230769231 7.105427357601e-15 7.105427357601e-15 -3.17516744362269e-31
+28 0 3 0 0 48 24 24 111.057692307692 253.846153846154 7.105427357601e-15 7.105427357601e-15 1.1306887363897e-31
+28 0 3 0 0 49 24 24 111.057692307692 264.423076923077 7.105427357601e-15 7.105427357601e-15 1.83943337484632e-31
+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 1.50103652265761e-32
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 -2.25604751113981e-30
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 -4.52710538750619e-30
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 -1.51992424000682e-28
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sz.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/sz.y.asc
new file mode 100644
index 000000000..1c1268dd5
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sz.y.asc
@@ -0,0 +1,864 @@
+# WHISKY::sz y (sz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 0
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 0
+0 0 0 0 0 24 16 24 0 0 -84.6153846153846 0 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 24 32 24 0 0 84.6153846153846 0 0
+0 0 0 0 0 24 40 24 0 0 169.230769230769 0 0
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+0 0 0 0 0 24 88 24 0 0 676.923076923077 0 0
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+0 0 0 0 0 24 128 24 0 0 1100 0 0
+0 0 0 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 0 0 0 24 144 24 0 0 1269.23076923077 0 0
+0 0 0 0 0 24 152 24 0 0 1353.84615384615 0 0
+0 0 0 0 0 24 160 24 0 0 1438.46153846154 0 0
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+0 0 0 0 0 24 176 24 0 0 1607.69230769231 0 0
+0 0 0 0 0 24 184 24 0 0 1692.30769230769 0 0
+0 0 0 0 0 24 192 24 0 0 1776.92307692308 0 0
+0 0 0 0 0 24 200 24 0 0 1861.53846153846 0 0
+0 0 0 0 0 24 208 24 0 0 1946.15384615385 0 0
+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 0
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 0
+0 0 0 0 0 24 232 24 0 0 2200 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 0
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 0
+0 0 1 0 0 24 20 24 0 0 -42.3076923076923 0 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
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+0 0 1 0 0 24 32 24 0 0 84.6153846153846 0 0
+0 0 1 0 0 24 36 24 0 0 126.923076923077 0 0
+0 0 1 0 0 24 40 24 0 0 169.230769230769 0 0
+0 0 1 0 0 24 44 24 0 0 211.538461538462 0 0
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+0 0 1 0 0 24 64 24 0 0 423.076923076923 0 0
+0 0 1 0 0 24 68 24 0 0 465.384615384615 0 0
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+0 0 1 0 0 24 76 24 0 0 550 0 0
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+0 0 1 0 0 24 88 24 0 0 676.923076923077 0 0
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+0 0 1 0 0 24 100 24 0 0 803.846153846154 0 0
+0 0 1 0 0 24 104 24 0 0 846.153846153846 0 0
+0 0 1 0 0 24 108 24 0 0 888.461538461538 0 0
+0 0 1 0 0 24 112 24 0 0 930.769230769231 0 0
+0 0 1 0 0 24 116 24 0 0 973.076923076923 0 0
+0 0 1 0 0 24 120 24 0 0 1015.38461538462 0 0
+0 0 1 0 0 24 124 24 0 0 1057.69230769231 0 0
+0 0 1 0 0 24 128 24 0 0 1100 0 0
+0 0 1 0 0 24 132 24 0 0 1142.30769230769 0 0
+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 18 24 0 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0
+0 0 2 0 0 24 20 24 0 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 0
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+0 0 2 0 0 24 30 24 0 7.105427357601e-15 63.4615384615385 7.105427357601e-15 0
+0 0 2 0 0 24 32 24 0 7.105427357601e-15 84.6153846153846 7.105427357601e-15 0
+0 0 2 0 0 24 34 24 0 7.105427357601e-15 105.769230769231 7.105427357601e-15 0
+0 0 2 0 0 24 36 24 0 7.105427357601e-15 126.923076923077 7.105427357601e-15 0
+0 0 2 0 0 24 38 24 0 7.105427357601e-15 148.076923076923 7.105427357601e-15 0
+0 0 2 0 0 24 40 24 0 7.105427357601e-15 169.230769230769 7.105427357601e-15 0
+0 0 2 0 0 24 42 24 0 7.105427357601e-15 190.384615384615 7.105427357601e-15 0
+0 0 2 0 0 24 44 24 0 7.105427357601e-15 211.538461538462 7.105427357601e-15 0
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+0 0 2 0 0 24 52 24 0 7.105427357601e-15 296.153846153846 7.105427357601e-15 0
+0 0 2 0 0 24 54 24 0 7.105427357601e-15 317.307692307692 7.105427357601e-15 0
+0 0 2 0 0 24 56 24 0 7.105427357601e-15 338.461538461538 7.105427357601e-15 0
+0 0 2 0 0 24 58 24 0 7.105427357601e-15 359.615384615385 7.105427357601e-15 0
+0 0 2 0 0 24 60 24 0 7.105427357601e-15 380.769230769231 7.105427357601e-15 0
+0 0 2 0 0 24 62 24 0 7.105427357601e-15 401.923076923077 7.105427357601e-15 0
+0 0 2 0 0 24 64 24 0 7.105427357601e-15 423.076923076923 7.105427357601e-15 0
+0 0 2 0 0 24 66 24 0 7.105427357601e-15 444.230769230769 7.105427357601e-15 0
+0 0 2 0 0 24 68 24 0 7.105427357601e-15 465.384615384615 7.105427357601e-15 0
+0 0 2 0 0 24 70 24 0 7.105427357601e-15 486.538461538462 7.105427357601e-15 0
+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+0 0 2 0 0 24 74 24 0 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 0
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 -2.57550179349641e-31
+4 0 1 0 0 24 16 24 15.8653846153846 0 -84.6153846153846 0 3.92616418676155e-31
+4 0 1 0 0 24 20 24 15.8653846153846 0 -42.3076923076923 0 -6.55247828205389e-30
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 2.04918499081915e-29
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+4 0 1 0 0 24 32 24 15.8653846153846 0 84.6153846153846 0 3.92616418676155e-31
+4 0 1 0 0 24 36 24 15.8653846153846 0 126.923076923077 0 -2.57550179349641e-31
+4 0 1 0 0 24 40 24 15.8653846153846 0 169.230769230769 0 2.08110665302541e-31
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+4 0 1 0 0 24 48 24 15.8653846153846 0 253.846153846154 0 7.21306944531904e-32
+4 0 1 0 0 24 52 24 15.8653846153846 0 296.153846153846 0 -1.74672904730533e-32
+4 0 1 0 0 24 56 24 15.8653846153846 0 338.461538461538 0 -8.4805853860247e-32
+4 0 1 0 0 24 60 24 15.8653846153846 0 380.769230769231 0 -2.23656510897524e-32
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+4 0 1 0 0 24 68 24 15.8653846153846 0 465.384615384615 0 9.59731579318386e-31
+4 0 1 0 0 24 72 24 15.8653846153846 0 507.692307692308 0 0
+4 0 1 0 0 24 76 24 15.8653846153846 0 550 0 1.10210345363189e-33
+4 0 1 0 0 24 80 24 15.8653846153846 0 592.307692307692 0 -7.7141166397639e-33
+4 0 1 0 0 24 84 24 15.8653846153846 0 634.615384615385 0 1.68116347238057e-32
+4 0 1 0 0 24 88 24 15.8653846153846 0 676.923076923077 0 -5.80848617167619e-33
+4 0 1 0 0 24 92 24 15.8653846153846 0 719.230769230769 0 6.24834617186311e-34
+4 0 1 0 0 24 96 24 15.8653846153846 0 761.538461538462 0 1.95913382450245e-34
+4 0 1 0 0 24 100 24 15.8653846153846 0 803.846153846154 0 -1.16982534002269e-31
+4 0 1 0 0 24 104 24 15.8653846153846 0 846.153846153846 0 2.41028923264605e-31
+4 0 1 0 0 24 108 24 15.8653846153846 0 888.461538461538 0 -1.58880249060055e-25
+4 0 1 0 0 24 112 24 15.8653846153846 0 930.769230769231 0 1.507372456253e-33
+4 0 1 0 0 24 116 24 15.8653846153846 0 973.076923076923 0 7.53242825267499e-34
+4 0 1 0 0 24 120 24 15.8653846153846 0 1015.38461538462 0 -8.86805718000228e-37
+4 0 1 0 0 24 124 24 15.8653846153846 0 1057.69230769231 0 -4.43402859000114e-37
+4 0 1 0 0 24 128 24 15.8653846153846 0 1100 0 0
+4 0 1 0 0 24 132 24 15.8653846153846 0 1142.30769230769 0 -2.61510476670076e-38
+4 0 1 0 0 24 136 24 15.8653846153846 0 1184.61538461538 0 0
+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 1.03383579907867e-36
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 24 128 24 31.7307692307692 0 1100 0 0
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+8 0 1 0 0 24 140 24 31.7307692307692 0 1226.92307692308 0 2.06767159815733e-36
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 70 24 31.7307692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 2.2257171782744e-28
+8 0 2 0 0 24 72 24 31.7307692307692 7.105427357601e-15 507.692307692308 7.105427357601e-15 6.97525703554199e-32
+8 0 2 0 0 24 74 24 31.7307692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 3.54465170014399e-32
+8 0 2 0 0 24 76 24 31.7307692307692 7.105427357601e-15 550 7.105427357601e-15 1.14046364745988e-33
+8 0 2 0 0 24 78 24 31.7307692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 -3.13191529216897e-33
+8 0 2 0 0 24 80 24 31.7307692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 -7.40429423179782e-33
+8 0 2 0 0 24 82 24 31.7307692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 4.39632635803489e-33
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 12 24 47.5961538461538 0 -126.923076923077 0 -2.47577825699068e-31
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+12 0 1 0 0 24 120 24 47.5961538461538 0 1015.38461538462 0 3.49366916654454e-33
+12 0 1 0 0 24 124 24 47.5961538461538 0 1057.69230769231 0 1.74538000185178e-33
+12 0 1 0 0 24 128 24 47.5961538461538 0 1100 0 -2.9091628409915e-36
+12 0 1 0 0 24 132 24 47.5961538461538 0 1142.30769230769 0 -1.38685094244888e-36
+12 0 1 0 0 24 136 24 47.5961538461538 0 1184.61538461538 0 3.28894845028774e-38
+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 2.30467427056247e-36
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 18 24 47.5961538461538 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 -6.41528991508186e-31
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 2.01045485851859e-36
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 24 68 24 63.4615384615385 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.81109001077591e-27
+16 0 2 0 0 24 70 24 63.4615384615385 7.105427357601e-15 486.538461538462 7.105427357601e-15 8.80513449871309e-28
+16 0 2 0 0 24 72 24 63.4615384615385 7.105427357601e-15 507.692307692308 7.105427357601e-15 -5.00631110332944e-29
+16 0 2 0 0 24 74 24 63.4615384615385 7.105427357601e-15 528.846153846154 7.105427357601e-15 -2.5387972404938e-29
+16 0 2 0 0 24 76 24 63.4615384615385 7.105427357601e-15 550 7.105427357601e-15 -7.12833776581641e-31
+16 0 2 0 0 24 78 24 63.4615384615385 7.105427357601e-15 571.153846153846 7.105427357601e-15 -3.68240741421977e-31
+16 0 2 0 0 24 80 24 63.4615384615385 7.105427357601e-15 592.307692307692 7.105427357601e-15 -2.3647706262312e-32
+16 0 2 0 0 24 82 24 63.4615384615385 7.105427357601e-15 613.461538461538 7.105427357601e-15 -4.25574008815233e-33
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 108 24 79.3269230769231 0 888.461538461538 0 -4.59148514572329e-28
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+20 0 1 0 0 24 120 24 79.3269230769231 0 1015.38461538462 0 8.53734037972318e-32
+20 0 1 0 0 24 124 24 79.3269230769231 0 1057.69230769231 0 4.29994055397818e-32
+20 0 1 0 0 24 128 24 79.3269230769231 0 1100 0 6.25407282331674e-34
+20 0 1 0 0 24 132 24 79.3269230769231 0 1142.30769230769 0 3.12776024120967e-34
+20 0 1 0 0 24 136 24 79.3269230769231 0 1184.61538461538 0 1.4476591026034e-37
+20 0 1 0 0 24 140 24 79.3269230769231 0 1226.92307692308 0 2.00035150046044e-36
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 24 18 24 79.3269230769231 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.32797132067323e-28
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 140 24 111.057692307692 0 1226.92307692308 0 4.02768172094735e-35
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 1.40034222093922e-28
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sz.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/sz.z.asc
new file mode 100644
index 000000000..c2fced45e
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sz.z.asc
@@ -0,0 +1,864 @@
+# WHISKY::sz z (sz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 -0
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 -0
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 -0
+0 0 0 0 0 24 24 24 0 0 0 0 0
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+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 24 24 140 31.7307692307692 0 0 1226.92307692308 -1.84126644719984e-16
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 -2.76295729772109e-16
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 -2.20640443665107e-14
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 0
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 8.9173688103426e-14
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+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 1 0 0 24 24 12 95.1923076923077 0 0 -126.923076923077 1.36713398385922e-13
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+24 0 1 0 0 24 24 140 95.1923076923077 0 0 1226.92307692308 -5.5310158599742e-16
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 2 0 0 24 24 78 95.1923076923077 7.105427357601e-15 7.105427357601e-15 571.153846153846 -5.00781110969633e-14
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 3 0 0 24 24 21 95.1923076923077 7.105427357601e-15 7.105427357601e-15 -31.7307692307692 3.11122007922828e-14
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+24 0 3 0 0 24 24 51 95.1923076923077 7.105427357601e-15 7.105427357601e-15 285.576923076923 -1.64015184747399e-13
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 24 140 111.057692307692 0 0 1226.92307692308 -6.45623245180913e-16
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 24 24 18 111.057692307692 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 9.33547618228304e-14
+28 0 2 0 0 24 24 20 111.057692307692 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 6.07342789015328e-14
+28 0 2 0 0 24 24 22 111.057692307692 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 2.69016017816528e-14
+28 0 2 0 0 24 24 24 111.057692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 -5.10821133208795e-29
+28 0 2 0 0 24 24 26 111.057692307692 7.105427357601e-15 7.105427357601e-15 21.1538461538462 -2.69016017816528e-14
+28 0 2 0 0 24 24 28 111.057692307692 7.105427357601e-15 7.105427357601e-15 42.3076923076923 -6.07342789015328e-14
+28 0 2 0 0 24 24 30 111.057692307692 7.105427357601e-15 7.105427357601e-15 63.4615384615385 -9.33547618228304e-14
+28 0 2 0 0 24 24 32 111.057692307692 7.105427357601e-15 7.105427357601e-15 84.6153846153846 -1.19650160065897e-13
+28 0 2 0 0 24 24 34 111.057692307692 7.105427357601e-15 7.105427357601e-15 105.769230769231 -1.42543128626983e-13
+28 0 2 0 0 24 24 36 111.057692307692 7.105427357601e-15 7.105427357601e-15 126.923076923077 -1.61180319873095e-13
+28 0 2 0 0 24 24 38 111.057692307692 7.105427357601e-15 7.105427357601e-15 148.076923076923 -1.76629446013824e-13
+28 0 2 0 0 24 24 40 111.057692307692 7.105427357601e-15 7.105427357601e-15 169.230769230769 -1.92258736592522e-13
+28 0 2 0 0 24 24 42 111.057692307692 7.105427357601e-15 7.105427357601e-15 190.384615384615 -2.01767290109187e-13
+28 0 2 0 0 24 24 44 111.057692307692 7.105427357601e-15 7.105427357601e-15 211.538461538462 -2.01972633985746e-13
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+28 0 2 0 0 24 24 48 111.057692307692 7.105427357601e-15 7.105427357601e-15 253.846153846154 -1.99104891475747e-13
+28 0 2 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 -1.94217849258637e-13
+28 0 2 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 -1.88564595371713e-13
+28 0 2 0 0 24 24 54 111.057692307692 7.105427357601e-15 7.105427357601e-15 317.307692307692 -1.78795204128143e-13
+28 0 2 0 0 24 24 56 111.057692307692 7.105427357601e-15 7.105427357601e-15 338.461538461538 -1.71692450194375e-13
+28 0 2 0 0 24 24 58 111.057692307692 7.105427357601e-15 7.105427357601e-15 359.615384615385 -1.58249124137735e-13
+28 0 2 0 0 24 24 60 111.057692307692 7.105427357601e-15 7.105427357601e-15 380.769230769231 -1.47795847832839e-13
+28 0 2 0 0 24 24 62 111.057692307692 7.105427357601e-15 7.105427357601e-15 401.923076923077 -1.35489705873038e-13
+28 0 2 0 0 24 24 64 111.057692307692 7.105427357601e-15 7.105427357601e-15 423.076923076923 -1.66361747461729e-13
+28 0 2 0 0 24 24 66 111.057692307692 7.105427357601e-15 7.105427357601e-15 444.230769230769 -1.33225422369246e-13
+28 0 2 0 0 24 24 68 111.057692307692 7.105427357601e-15 7.105427357601e-15 465.384615384615 -1.00089097276762e-13
+28 0 2 0 0 24 24 70 111.057692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 -9.08310089465463e-14
+28 0 2 0 0 24 24 72 111.057692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 -8.15729206163304e-14
+28 0 2 0 0 24 24 74 111.057692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 -7.34441847045381e-14
+28 0 2 0 0 24 24 76 111.057692307692 7.105427357601e-15 7.105427357601e-15 550 -6.53154487927458e-14
+28 0 2 0 0 24 24 78 111.057692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 -5.84304114628561e-14
+28 0 2 0 0 24 24 80 111.057692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 -5.15453741329663e-14
+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 -4.5789934408199e-14
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 24 24 21 111.057692307692 7.105427357601e-15 7.105427357601e-15 -31.7307692307692 3.65229684423908e-14
+28 0 3 0 0 24 24 22 111.057692307692 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 2.69016017816528e-14
+28 0 3 0 0 24 24 23 111.057692307692 7.105427357601e-15 7.105427357601e-15 -10.5769230769231 3.02996397051778e-15
+28 0 3 0 0 24 24 24 111.057692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 -5.10821133208795e-29
+28 0 3 0 0 24 24 25 111.057692307692 7.105427357601e-15 7.105427357601e-15 10.5769230769231 -3.02996397051778e-15
+28 0 3 0 0 24 24 26 111.057692307692 7.105427357601e-15 7.105427357601e-15 21.1538461538462 -2.69016017816528e-14
+28 0 3 0 0 24 24 27 111.057692307692 7.105427357601e-15 7.105427357601e-15 31.7307692307692 -3.65229684423908e-14
+28 0 3 0 0 24 24 28 111.057692307692 7.105427357601e-15 7.105427357601e-15 42.3076923076923 -6.07342789015328e-14
+28 0 3 0 0 24 24 29 111.057692307692 7.105427357601e-15 7.105427357601e-15 52.8846153846154 -7.48941486834878e-14
+28 0 3 0 0 24 24 30 111.057692307692 7.105427357601e-15 7.105427357601e-15 63.4615384615385 -9.33547618228304e-14
+28 0 3 0 0 24 24 31 111.057692307692 7.105427357601e-15 7.105427357601e-15 74.0384615384616 -1.02986723910856e-13
+28 0 3 0 0 24 24 32 111.057692307692 7.105427357601e-15 7.105427357601e-15 84.6153846153846 -1.19650160065897e-13
+28 0 3 0 0 24 24 33 111.057692307692 7.105427357601e-15 7.105427357601e-15 95.1923076923077 -1.26953013267787e-13
+28 0 3 0 0 24 24 34 111.057692307692 7.105427357601e-15 7.105427357601e-15 105.769230769231 -1.42543128626983e-13
+28 0 3 0 0 24 24 35 111.057692307692 7.105427357601e-15 7.105427357601e-15 116.346153846154 -1.47327459864234e-13
+28 0 3 0 0 24 24 36 111.057692307692 7.105427357601e-15 7.105427357601e-15 126.923076923077 -1.61180319873095e-13
+28 0 3 0 0 24 24 37 111.057692307692 7.105427357601e-15 7.105427357601e-15 137.5 -1.63788908131954e-13
+28 0 3 0 0 24 24 38 111.057692307692 7.105427357601e-15 7.105427357601e-15 148.076923076923 -1.76629446013824e-13
+28 0 3 0 0 24 24 39 111.057692307692 7.105427357601e-15 7.105427357601e-15 158.653846153846 -1.7907909516069e-13
+28 0 3 0 0 24 24 40 111.057692307692 7.105427357601e-15 7.105427357601e-15 169.230769230769 -1.92258736592522e-13
+28 0 3 0 0 24 24 41 111.057692307692 7.105427357601e-15 7.105427357601e-15 179.807692307692 -1.93536405302439e-13
+28 0 3 0 0 24 24 42 111.057692307692 7.105427357601e-15 7.105427357601e-15 190.384615384615 -2.01767290109187e-13
+28 0 3 0 0 24 24 43 111.057692307692 7.105427357601e-15 7.105427357601e-15 200.961538461539 -1.97044030587153e-13
+28 0 3 0 0 24 24 44 111.057692307692 7.105427357601e-15 7.105427357601e-15 211.538461538462 -2.01972633985746e-13
+28 0 3 0 0 24 24 45 111.057692307692 7.105427357601e-15 7.105427357601e-15 222.115384615385 -2.01758401005996e-13
+28 0 3 0 0 24 24 46 111.057692307692 7.105427357601e-15 7.105427357601e-15 232.692307692308 -2.01544168026246e-13
+28 0 3 0 0 24 24 47 111.057692307692 7.105427357601e-15 7.105427357601e-15 243.269230769231 -2.00324529750997e-13
+28 0 3 0 0 24 24 48 111.057692307692 7.105427357601e-15 7.105427357601e-15 253.846153846154 -1.99104891475747e-13
+28 0 3 0 0 24 24 49 111.057692307692 7.105427357601e-15 7.105427357601e-15 264.423076923077 -1.96661370367192e-13
+28 0 3 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 -1.94217849258637e-13
+28 0 3 0 0 24 24 51 111.057692307692 7.105427357601e-15 7.105427357601e-15 285.576923076923 -1.91391222315175e-13
+28 0 3 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 -1.88564595371713e-13
+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 -1.83679899749928e-13
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sz_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/sz_maximum.xg
new file mode 100644
index 000000000..2e8bf2687
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sz_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::sz
+"sz v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 6.3729330973181e-15
+1.5865384615385e+01 2.2223509574780e-14
+2.3798076923077e+01 1.9289899547204e-14
+3.1730769230769e+01 5.6844298103756e-14
+3.9663461538462e+01 3.2195441631096e-14
+4.7596153846154e+01 6.6733232845518e-14
+5.5528846153846e+01 4.4850374920657e-14
+6.3461538461538e+01 1.1370400233136e-13
+7.1394230769231e+01 5.7933861391437e-14
+7.5360576923077e+01 2.4919924519757e-14
+7.9326923076923e+01 1.1241800403875e-13
+8.3293269230769e+01 2.7285995272170e-14
+8.7259615384615e+01 7.2121746743740e-14
+9.1225961538462e+01 2.9812852910528e-14
+9.5192307692308e+01 1.7065277166785e-13
+9.9158653846154e+01 3.2427602423574e-14
+1.0312500000000e+02 8.6289003596134e-14
+1.0709134615385e+02 3.5129882761496e-14
+1.1105769230769e+02 1.6118031987310e-13
+1.1502403846154e+02 3.7944636983513e-14
+1.1899038461538e+02 1.0034966507724e-13
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sz_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/sz_minimum.xg
new file mode 100644
index 000000000..cd08f65c3
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sz_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::sz
+"sz v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 -1.4363364113605e-14
+1.5865384615385e+01 -2.8370335057356e-14
+2.3798076923077e+01 -4.3167784790698e-14
+3.1730769230769e+01 -5.6844298103756e-14
+3.9663461538462e+01 -7.1812075255748e-14
+4.7596153846154e+01 -8.5243973694440e-14
+5.5528846153846e+01 -1.0065921903406e-13
+6.3461538461538e+01 -1.1370400233136e-13
+7.1394230769231e+01 -1.2938289968234e-13
+7.5360576923077e+01 -1.3656255550457e-13
+7.9326923076923e+01 -1.4220621972200e-13
+8.3293269230769e+01 -1.5094569342218e-13
+8.7259615384615e+01 -1.5814917551756e-13
+9.1225961538462e+01 -1.6536989926469e-13
+9.5192307692308e+01 -1.7065277166785e-13
+9.9158653846154e+01 -1.8035772775534e-13
+1.0312500000000e+02 -1.8789797097154e-13
+1.0709134615385e+02 -1.9543012936271e-13
+1.1105769230769e+02 -2.0197263398575e-13
+1.1502403846154e+02 -2.1045684594556e-13
+1.1899038461538e+02 -2.1794267880201e-13
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sz_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/sz_norm1.xg
new file mode 100644
index 000000000..587aac960
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sz_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::sz
+"sz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 3.1406558417887e-15
+1.5865384615385e+01 1.5274396237883e-15
+2.3798076923077e+01 9.4722993799712e-15
+3.1730769230769e+01 7.2608467497159e-16
+3.9663461538462e+01 1.5809142965439e-14
+4.7596153846154e+01 4.5869849154929e-15
+5.5528846153846e+01 2.2151881619671e-14
+6.3461538461538e+01 1.4507097879517e-15
+7.1394230769231e+01 2.8500985017126e-14
+7.5360576923077e+01 5.8320352741268e-14
+7.9326923076923e+01 7.6554268178017e-15
+8.3293269230769e+01 6.4662155400105e-14
+8.7259615384615e+01 3.5007489538614e-14
+9.1225961538462e+01 7.1016781666335e-14
+9.5192307692308e+01 2.1813758472372e-15
+9.9158653846154e+01 7.7382359541719e-14
+1.0312500000000e+02 4.1501106361879e-14
+1.0709134615385e+02 8.3749159921860e-14
+1.1105769230769e+02 1.0766290418912e-14
+1.1502403846154e+02 9.0109643114161e-14
+1.1899038461538e+02 4.7980143872419e-14
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/sz_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/sz_norm2.xg
new file mode 100644
index 000000000..7e19532e0
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/sz_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::sz
+"sz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 4.4704468709564e-15
+1.5865384615385e+01 4.1733194568113e-15
+2.3798076923077e+01 1.3462771122672e-14
+3.1730769230769e+01 4.1844215292744e-15
+3.9663461538462e+01 2.2454235713263e-14
+4.7596153846154e+01 1.2505137918427e-14
+5.5528846153846e+01 3.1444163464110e-14
+6.3461538461538e+01 8.3578051971156e-15
+7.1394230769231e+01 4.0433370017120e-14
+7.5360576923077e+01 7.0024361004085e-14
+7.9326923076923e+01 2.0878196587024e-14
+8.3293269230769e+01 7.7605476989699e-14
+8.7259615384615e+01 4.9627855995784e-14
+9.1225961538462e+01 8.5188663742975e-14
+9.5192307692308e+01 1.2584637865968e-14
+9.9158653846154e+01 9.2769641151383e-14
+1.0312500000000e+02 5.8816906807509e-14
+1.0709134615385e+02 1.0034676881198e-13
+1.1105769230769e+02 2.9415143428383e-14
+1.1502403846154e+02 1.0791622040346e-13
+1.1899038461538e+02 6.7989126583554e-14
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/tau.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/tau.x.asc
new file mode 100644
index 000000000..fffda3f7f
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/tau.x.asc
@@ -0,0 +1,864 @@
+# WHISKY::tau x (tau)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 2.69874507956238e-11
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 3.59351386226074e-11
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 4.30341409146511e-11
+0 0 0 0 0 24 24 24 0 0 0 0 4.57625972626952e-11
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 4.30341409146511e-11
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 3.59351386226074e-11
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 2.69874507956238e-11
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 1.85378019932091e-11
+0 0 0 0 0 64 24 24 0 423.076923076923 0 0 1.18665025513385e-11
+0 0 0 0 0 72 24 24 0 507.692307692308 0 0 7.19941805974989e-12
+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 4.19911353855666e-12
+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 2.37906248187757e-12
+0 0 0 0 0 96 24 24 0 761.538461538462 0 0 1.31847332439407e-12
+0 0 0 0 0 104 24 24 0 846.153846153846 0 0 7.1756260367729e-13
+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 3.83944863279658e-13
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 2.01744258573462e-13
+0 0 0 0 0 128 24 24 0 1100 0 0 1.03731572253752e-13
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 5.18848293353642e-14
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 2.50206031310177e-14
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 1.1482722435828e-14
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 4.91969484396652e-15
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 1.91029897667753e-15
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 6.40025166366195e-16
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 1.6897297264656e-16
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 2.87945716367619e-17
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 1.71810535419135e-18
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 2.45347640571467e-19
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 2.45277613108865e-19
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 2.45213202556789e-19
+0 0 0 0 0 232 24 24 0 2200 0 0 2.45153759173899e-19
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 3.98881073385964e-11
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+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 3.78509840483333e-14
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 2 0 0 72 24 24 0 507.692307692308 7.105427357601e-15 7.105427357601e-15 7.19941805974989e-12
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+0 0 2 0 0 76 24 24 0 550 7.105427357601e-15 7.105427357601e-15 5.52136052787281e-12
+0 0 2 0 0 78 24 24 0 571.153846153846 7.105427357601e-15 7.105427357601e-15 4.84903320581607e-12
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+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 3.6759385228573e-12
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 12 24 24 15.8653846153846 -126.923076923077 0 0 3.98863443558812e-11
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+4 0 1 0 0 100 24 24 15.8653846153846 803.846153846154 0 0 9.74747593781862e-13
+4 0 1 0 0 104 24 24 15.8653846153846 846.153846153846 0 0 7.17541970562621e-13
+4 0 1 0 0 108 24 24 15.8653846153846 888.461538461538 0 0 5.44303709640511e-13
+4 0 1 0 0 112 24 24 15.8653846153846 930.769230769231 0 0 3.83924751712162e-13
+4 0 1 0 0 116 24 24 15.8653846153846 973.076923076923 0 0 2.89222991128957e-13
+4 0 1 0 0 120 24 24 15.8653846153846 1015.38461538462 0 0 2.0173504782431e-13
+4 0 1 0 0 124 24 24 15.8653846153846 1057.69230769231 0 0 1.50725928843377e-13
+4 0 1 0 0 128 24 24 15.8653846153846 1100 0 0 1.03727419531044e-13
+4 0 1 0 0 132 24 24 15.8653846153846 1142.30769230769 0 0 7.67010253407977e-14
+4 0 1 0 0 136 24 24 15.8653846153846 1184.61538461538 0 0 5.18829798964775e-14
+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 3.78496830139206e-14
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 18 24 24 15.8653846153846 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 4.42024939395391e-11
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+4 0 2 0 0 64 24 24 15.8653846153846 423.076923076923 7.105427357601e-15 7.105427357601e-15 1.1866137504452e-11
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+4 0 2 0 0 68 24 24 15.8653846153846 465.384615384615 7.105427357601e-15 7.105427357601e-15 9.29550263983171e-12
+4 0 2 0 0 70 24 24 15.8653846153846 486.538461538462 7.105427357601e-15 7.105427357601e-15 8.23068645522921e-12
+4 0 2 0 0 72 24 24 15.8653846153846 507.692307692308 7.105427357601e-15 7.105427357601e-15 7.19902592407927e-12
+4 0 2 0 0 74 24 24 15.8653846153846 528.846153846154 7.105427357601e-15 7.105427357601e-15 6.34627526596476e-12
+4 0 2 0 0 76 24 24 15.8653846153846 550 7.105427357601e-15 7.105427357601e-15 5.52108267024619e-12
+4 0 2 0 0 78 24 24 15.8653846153846 571.153846153846 7.105427357601e-15 7.105427357601e-15 4.84879688316305e-12
+4 0 2 0 0 80 24 24 15.8653846153846 592.307692307692 7.105427357601e-15 7.105427357601e-15 4.19891708096688e-12
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 0 24 24 31.7307692307692 -253.846153846154 0 0 2.69853057354903e-11
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+8 0 0 0 0 152 24 24 31.7307692307692 1353.84615384615 0 0 1.14820448714829e-14
+8 0 0 0 0 160 24 24 31.7307692307692 1438.46153846154 0 0 4.91942433037833e-15
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+8 0 0 0 0 176 24 24 31.7307692307692 1607.69230769231 0 0 6.39992286168279e-16
+8 0 0 0 0 184 24 24 31.7307692307692 1692.30769230769 0 0 1.68964098924569e-16
+8 0 0 0 0 192 24 24 31.7307692307692 1776.92307692308 0 0 2.87917956061306e-17
+8 0 0 0 0 200 24 24 31.7307692307692 1861.53846153846 0 0 1.71826995518469e-18
+8 0 0 0 0 208 24 24 31.7307692307692 1946.15384615385 0 0 2.4551788361317e-19
+8 0 0 0 0 216 24 24 31.7307692307692 2030.76923076923 0 0 2.45277613242182e-19
+8 0 0 0 0 224 24 24 31.7307692307692 2115.38461538462 0 0 2.45213202516557e-19
+8 0 0 0 0 232 24 24 31.7307692307692 2200 0 0 2.45153769667327e-19
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 12 24 24 31.7307692307692 -126.923076923077 0 0 3.98846168991381e-11
+8 0 1 0 0 16 24 24 31.7307692307692 -84.6153846153846 0 0 4.3030102427314e-11
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+8 0 1 0 0 32 24 24 31.7307692307692 84.6153846153846 0 0 4.3030102427314e-11
+8 0 1 0 0 36 24 24 31.7307692307692 126.923076923077 0 0 3.98846168991381e-11
+8 0 1 0 0 40 24 24 31.7307692307692 169.230769230769 0 0 3.59320652585468e-11
+8 0 1 0 0 44 24 24 31.7307692307692 211.538461538462 0 0 3.15242452831949e-11
+8 0 1 0 0 48 24 24 31.7307692307692 253.846153846154 0 0 2.69853057354903e-11
+8 0 1 0 0 52 24 24 31.7307692307692 296.153846153846 0 0 2.25899897763318e-11
+8 0 1 0 0 56 24 24 31.7307692307692 338.461538461538 0 0 1.85365025746703e-11
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+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 3.78483822783139e-14
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 3.78470593462073e-14
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 192 24 24 63.4615384615385 1776.92307692308 0 0 2.87889958177604e-17
+16 0 0 0 0 200 24 24 63.4615384615385 1861.53846153846 0 0 1.71844097638245e-18
+16 0 0 0 0 208 24 24 63.4615384615385 1946.15384615385 0 0 2.45691929600259e-19
+16 0 0 0 0 216 24 24 63.4615384615385 2030.76923076923 0 0 2.45277613602692e-19
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+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 2.45153772635022e-19
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 3.78457367082604e-14
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 3.78443918805731e-14
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 1 0 0 140 24 24 95.1923076923077 1226.92307692308 0 0 3.78430473435558e-14
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 140 24 24 111.057692307692 1226.92307692308 0 0 3.78416806195835e-14
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 74 24 24 111.057692307692 528.846153846154 7.105427357601e-15 7.105427357601e-15 6.34426552592606e-12
+28 0 2 0 0 76 24 24 111.057692307692 550 7.105427357601e-15 7.105427357601e-15 5.5194030918142e-12
+28 0 2 0 0 78 24 24 111.057692307692 571.153846153846 7.105427357601e-15 7.105427357601e-15 4.84736491657986e-12
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+28 0 2 0 0 82 24 24 111.057692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 3.67476127548558e-12
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 21 24 24 111.057692307692 -31.7307692307692 7.105427357601e-15 7.105427357601e-15 4.53085081114361e-11
+28 0 3 0 0 22 24 24 111.057692307692 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 4.55716966460539e-11
+28 0 3 0 0 23 24 24 111.057692307692 -10.5769230769231 7.105427357601e-15 7.105427357601e-15 4.56578952034321e-11
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+28 0 3 0 0 25 24 24 111.057692307692 10.5769230769231 7.105427357601e-15 7.105427357601e-15 4.56578952034321e-11
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+28 0 3 0 0 37 24 24 111.057692307692 137.5 7.105427357601e-15 7.105427357601e-15 3.89214112742163e-11
+28 0 3 0 0 38 24 24 111.057692307692 148.076923076923 7.105427357601e-15 7.105427357601e-15 3.79760595683157e-11
+28 0 3 0 0 39 24 24 111.057692307692 158.653846153846 7.105427357601e-15 7.105427357601e-15 3.69452458598342e-11
+28 0 3 0 0 40 24 24 111.057692307692 169.230769230769 7.105427357601e-15 7.105427357601e-15 3.59215640973647e-11
+28 0 3 0 0 41 24 24 111.057692307692 179.807692307692 7.105427357601e-15 7.105427357601e-15 3.48342269294894e-11
+28 0 3 0 0 42 24 24 111.057692307692 190.384615384615 7.105427357601e-15 7.105427357601e-15 3.37551515216362e-11
+28 0 3 0 0 43 24 24 111.057692307692 200.961538461539 7.105427357601e-15 7.105427357601e-15 3.26303647118752e-11
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+28 0 3 0 0 45 24 24 111.057692307692 222.115384615385 7.105427357601e-15 7.105427357601e-15 3.0374485966634e-11
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+28 0 3 0 0 47 24 24 111.057692307692 243.269230769231 7.105427357601e-15 7.105427357601e-15 2.81065253254161e-11
+28 0 3 0 0 48 24 24 111.057692307692 253.846153846154 7.105427357601e-15 7.105427357601e-15 2.69801477504272e-11
+28 0 3 0 0 49 24 24 111.057692307692 264.423076923077 7.105427357601e-15 7.105427357601e-15 2.5858248289819e-11
+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 2.47483073919765e-11
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 2.36609450630207e-11
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 2.25858446547464e-11
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 2.15396489954386e-11
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/tau.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/tau.y.asc
new file mode 100644
index 000000000..922715f12
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/tau.y.asc
@@ -0,0 +1,864 @@
+# WHISKY::tau y (tau)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 2.69874507956238e-11
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 3.59351386226074e-11
+0 0 0 0 0 24 16 24 0 0 -84.6153846153846 0 4.30341409146511e-11
+0 0 0 0 0 24 24 24 0 0 0 0 4.57625972626952e-11
+0 0 0 0 0 24 32 24 0 0 84.6153846153846 0 4.30341409146511e-11
+0 0 0 0 0 24 40 24 0 0 169.230769230769 0 3.59351386226074e-11
+0 0 0 0 0 24 48 24 0 0 253.846153846154 0 2.69874507956238e-11
+0 0 0 0 0 24 56 24 0 0 338.461538461539 0 1.85378019932091e-11
+0 0 0 0 0 24 64 24 0 0 423.076923076923 0 1.18665025513385e-11
+0 0 0 0 0 24 72 24 0 0 507.692307692308 0 7.19941805974989e-12
+0 0 0 0 0 24 80 24 0 0 592.307692307692 0 4.19911353855666e-12
+0 0 0 0 0 24 88 24 0 0 676.923076923077 0 2.37906248187757e-12
+0 0 0 0 0 24 96 24 0 0 761.538461538462 0 1.31847332439407e-12
+0 0 0 0 0 24 104 24 0 0 846.153846153846 0 7.1756260367729e-13
+0 0 0 0 0 24 112 24 0 0 930.769230769231 0 3.83944863279658e-13
+0 0 0 0 0 24 120 24 0 0 1015.38461538462 0 2.01744258573462e-13
+0 0 0 0 0 24 128 24 0 0 1100 0 1.03731572253752e-13
+0 0 0 0 0 24 136 24 0 0 1184.61538461538 0 5.18848293353642e-14
+0 0 0 0 0 24 144 24 0 0 1269.23076923077 0 2.50206031310177e-14
+0 0 0 0 0 24 152 24 0 0 1353.84615384615 0 1.1482722435828e-14
+0 0 0 0 0 24 160 24 0 0 1438.46153846154 0 4.91969484396652e-15
+0 0 0 0 0 24 168 24 0 0 1523.07692307692 0 1.91029897667753e-15
+0 0 0 0 0 24 176 24 0 0 1607.69230769231 0 6.40025166366195e-16
+0 0 0 0 0 24 184 24 0 0 1692.30769230769 0 1.6897297264656e-16
+0 0 0 0 0 24 192 24 0 0 1776.92307692308 0 2.87945716367619e-17
+0 0 0 0 0 24 200 24 0 0 1861.53846153846 0 1.71810535419135e-18
+0 0 0 0 0 24 208 24 0 0 1946.15384615385 0 2.45347640571467e-19
+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 2.45277613108865e-19
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 2.45213202556789e-19
+0 0 0 0 0 24 232 24 0 0 2200 0 2.45153759173899e-19
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 3.98881073385964e-11
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 4.30341409146511e-11
+0 0 1 0 0 24 20 24 0 0 -42.3076923076923 0 4.50636407358528e-11
+0 0 1 0 0 24 24 24 0 0 0 0 4.57625972626952e-11
+0 0 1 0 0 24 28 24 0 0 42.3076923076923 0 4.50636407358528e-11
+0 0 1 0 0 24 32 24 0 0 84.6153846153846 0 4.30341409146511e-11
+0 0 1 0 0 24 36 24 0 0 126.923076923077 0 3.98881073385964e-11
+0 0 1 0 0 24 40 24 0 0 169.230769230769 0 3.59351386226074e-11
+0 0 1 0 0 24 44 24 0 0 211.538461538462 0 3.15268201736708e-11
+0 0 1 0 0 24 48 24 0 0 253.846153846154 0 2.69874507956238e-11
+0 0 1 0 0 24 52 24 0 0 296.153846153846 0 2.25916908025566e-11
+0 0 1 0 0 24 56 24 0 0 338.461538461538 0 1.85378019932091e-11
+0 0 1 0 0 24 60 24 0 0 380.769230769231 0 1.49451753156723e-11
+0 0 1 0 0 24 64 24 0 0 423.076923076923 0 1.18665025513385e-11
+0 0 1 0 0 24 68 24 0 0 465.384615384615 0 9.29605430958612e-12
+0 0 1 0 0 24 72 24 0 0 507.692307692308 0 7.19941805974989e-12
+0 0 1 0 0 24 76 24 0 0 550 0 5.52136052787281e-12
+0 0 1 0 0 24 80 24 0 0 592.307692307692 0 4.19911353855666e-12
+0 0 1 0 0 24 84 24 0 0 634.615384615385 0 3.17065514802234e-12
+0 0 1 0 0 24 88 24 0 0 676.923076923077 0 2.37906248187757e-12
+0 0 1 0 0 24 92 24 0 0 719.230769230769 0 1.77542399297342e-12
+0 0 1 0 0 24 96 24 0 0 761.538461538462 0 1.31847332439407e-12
+0 0 1 0 0 24 100 24 0 0 803.846153846154 0 9.7477762508282e-13
+0 0 1 0 0 24 104 24 0 0 846.153846153846 0 7.1756260367729e-13
+0 0 1 0 0 24 108 24 0 0 888.461538461538 0 5.4433506655863e-13
+0 0 1 0 0 24 112 24 0 0 930.769230769231 0 3.83944863279658e-13
+0 0 1 0 0 24 116 24 0 0 973.076923076923 0 2.89237399514017e-13
+0 0 1 0 0 24 120 24 0 0 1015.38461538462 0 2.01744258573462e-13
+0 0 1 0 0 24 124 24 0 0 1057.69230769231 0 1.5073249049258e-13
+0 0 1 0 0 24 128 24 0 0 1100 0 1.03731572253752e-13
+0 0 1 0 0 24 132 24 0 0 1142.30769230769 0 7.67039705386556e-14
+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 5.18848293353642e-14
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 3.78509840483333e-14
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 18 24 0 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 4.42046600260942e-11
+0 0 2 0 0 24 20 24 0 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 4.50636407358528e-11
+0 0 2 0 0 24 22 24 0 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 4.55876212602839e-11
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 4.57625972626952e-11
+0 0 2 0 0 24 26 24 0 7.105427357601e-15 21.1538461538462 7.105427357601e-15 4.55876212602839e-11
+0 0 2 0 0 24 28 24 0 7.105427357601e-15 42.3076923076923 7.105427357601e-15 4.50636407358528e-11
+0 0 2 0 0 24 30 24 0 7.105427357601e-15 63.4615384615385 7.105427357601e-15 4.42046600260942e-11
+0 0 2 0 0 24 32 24 0 7.105427357601e-15 84.6153846153846 7.105427357601e-15 4.30341409146511e-11
+0 0 2 0 0 24 34 24 0 7.105427357601e-15 105.769230769231 7.105427357601e-15 4.15830417652399e-11
+0 0 2 0 0 24 36 24 0 7.105427357601e-15 126.923076923077 7.105427357601e-15 3.98881073385964e-11
+0 0 2 0 0 24 38 24 0 7.105427357601e-15 148.076923076923 7.105427357601e-15 3.79904598548002e-11
+0 0 2 0 0 24 40 24 0 7.105427357601e-15 169.230769230769 7.105427357601e-15 3.59351386226074e-11
+0 0 2 0 0 24 42 24 0 7.105427357601e-15 190.384615384615 7.105427357601e-15 3.3768182567149e-11
+0 0 2 0 0 24 44 24 0 7.105427357601e-15 211.538461538462 7.105427357601e-15 3.15268201736708e-11
+0 0 2 0 0 24 46 24 0 7.105427357601e-15 232.692307692308 7.105427357601e-15 2.92520750341174e-11
+0 0 2 0 0 24 48 24 0 7.105427357601e-15 253.846153846154 7.105427357601e-15 2.69874507956238e-11
+0 0 2 0 0 24 50 24 0 7.105427357601e-15 275 7.105427357601e-15 2.47546522651073e-11
+0 0 2 0 0 24 52 24 0 7.105427357601e-15 296.153846153846 7.105427357601e-15 2.25916908025566e-11
+0 0 2 0 0 24 54 24 0 7.105427357601e-15 317.307692307692 7.105427357601e-15 2.05109973195728e-11
+0 0 2 0 0 24 56 24 0 7.105427357601e-15 338.461538461538 7.105427357601e-15 1.85378019932091e-11
+0 0 2 0 0 24 58 24 0 7.105427357601e-15 359.615384615385 7.105427357601e-15 1.66797689443525e-11
+0 0 2 0 0 24 60 24 0 7.105427357601e-15 380.769230769231 7.105427357601e-15 1.49451753156723e-11
+0 0 2 0 0 24 62 24 0 7.105427357601e-15 401.923076923077 7.105427357601e-15 1.3340986087281e-11
+0 0 2 0 0 24 64 24 0 7.105427357601e-15 423.076923076923 7.105427357601e-15 1.18665025513385e-11
+0 0 2 0 0 24 66 24 0 7.105427357601e-15 444.230769230769 7.105427357601e-15 1.05618655169671e-11
+0 0 2 0 0 24 68 24 0 7.105427357601e-15 465.384615384615 7.105427357601e-15 9.29605430958612e-12
+0 0 2 0 0 24 70 24 0 7.105427357601e-15 486.538461538462 7.105427357601e-15 8.23115677529375e-12
+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 7.19941805974989e-12
+0 0 2 0 0 24 74 24 0 7.105427357601e-15 528.846153846154 7.105427357601e-15 6.34660910479772e-12
+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 5.52136052787281e-12
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 4.84903320581607e-12
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 4.19911353855666e-12
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 3.6759385228573e-12
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 3.98863443558812e-11
+4 0 1 0 0 24 16 24 15.8653846153846 0 -84.6153846153846 0 4.30320859618081e-11
+4 0 1 0 0 24 20 24 15.8653846153846 0 -42.3076923076923 0 4.50614766764493e-11
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 4.57594250328497e-11
+4 0 1 0 0 24 28 24 15.8653846153846 0 42.3076923076923 0 4.50614766764493e-11
+4 0 1 0 0 24 32 24 15.8653846153846 0 84.6153846153846 0 4.30320859618081e-11
+4 0 1 0 0 24 36 24 15.8653846153846 0 126.923076923077 0 3.98863443558812e-11
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 24 232 24 31.7307692307692 0 2200 0 2.45153769667327e-19
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 24 140 24 31.7307692307692 0 1226.92307692308 0 3.78483822783139e-14
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 68 24 31.7307692307692 7.105427357601e-15 465.384615384615 7.105427357601e-15 9.29494522188094e-12
+8 0 2 0 0 24 70 24 31.7307692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 8.23021340480277e-12
+8 0 2 0 0 24 72 24 31.7307692307692 7.105427357601e-15 507.692307692308 7.105427357601e-15 7.19863388713639e-12
+8 0 2 0 0 24 74 24 31.7307692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 6.34594121159832e-12
+8 0 2 0 0 24 76 24 31.7307692307692 7.105427357601e-15 550 7.105427357601e-15 5.52080430663298e-12
+8 0 2 0 0 24 78 24 31.7307692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 4.8485599404726e-12
+8 0 2 0 0 24 80 24 31.7307692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 4.19871989610832e-12
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 76 24 47.5961538461538 7.105427357601e-15 550 7.105427357601e-15 5.52052547967269e-12
+12 0 2 0 0 24 78 24 47.5961538461538 7.105427357601e-15 571.153846153846 7.105427357601e-15 4.8483224119046e-12
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 232 24 63.4615384615385 0 2200 0 2.45153772635022e-19
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 3.78457367082604e-14
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 24 70 24 63.4615384615385 7.105427357601e-15 486.538461538462 7.105427357601e-15 8.22926017537686e-12
+16 0 2 0 0 24 72 24 63.4615384615385 7.105427357601e-15 507.692307692308 7.105427357601e-15 7.19785024273064e-12
+16 0 2 0 0 24 74 24 63.4615384615385 7.105427357601e-15 528.846153846154 7.105427357601e-15 6.3452726030858e-12
+16 0 2 0 0 24 76 24 63.4615384615385 7.105427357601e-15 550 7.105427357601e-15 5.52024621692056e-12
+16 0 2 0 0 24 78 24 63.4615384615385 7.105427357601e-15 571.153846153846 7.105427357601e-15 4.84808431548022e-12
+16 0 2 0 0 24 80 24 63.4615384615385 7.105427357601e-15 592.307692307692 7.105427357601e-15 4.19832344858319e-12
+16 0 2 0 0 24 82 24 63.4615384615385 7.105427357601e-15 613.461538461538 7.105427357601e-15 3.6752709038813e-12
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 1 0 0 24 140 24 95.1923076923077 0 1226.92307692308 0 3.78430473435558e-14
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
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+28 0 3 0 0 24 45 24 111.057692307692 7.105427357601e-15 222.115384615385 7.105427357601e-15 3.03744860256367e-11
+28 0 3 0 0 24 46 24 111.057692307692 7.105427357601e-15 232.692307692308 7.105427357601e-15 2.92442354367854e-11
+28 0 3 0 0 24 47 24 111.057692307692 7.105427357601e-15 243.269230769231 7.105427357601e-15 2.81065253255691e-11
+28 0 3 0 0 24 48 24 111.057692307692 7.105427357601e-15 253.846153846154 7.105427357601e-15 2.69801477504024e-11
+28 0 3 0 0 24 49 24 111.057692307692 7.105427357601e-15 264.423076923077 7.105427357601e-15 2.58582482898041e-11
+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 2.47483073919724e-11
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 2.36609450630199e-11
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 2.25858446547464e-11
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 2.15396489954386e-11
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/tau.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/tau.z.asc
new file mode 100644
index 000000000..38bb31efd
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/tau.z.asc
@@ -0,0 +1,864 @@
+# WHISKY::tau z (tau)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 2.69874507956238e-11
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 3.59351386226074e-11
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 4.30341409146511e-11
+0 0 0 0 0 24 24 24 0 0 0 0 4.57625972626952e-11
+0 0 0 0 0 24 24 32 0 0 0 84.6153846153846 4.30341409146511e-11
+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 3.59351386226074e-11
+0 0 0 0 0 24 24 48 0 0 0 253.846153846154 2.69874507956238e-11
+0 0 0 0 0 24 24 56 0 0 0 338.461538461539 1.85378019932091e-11
+0 0 0 0 0 24 24 64 0 0 0 423.076923076923 1.18665025513385e-11
+0 0 0 0 0 24 24 72 0 0 0 507.692307692308 7.19941805974989e-12
+0 0 0 0 0 24 24 80 0 0 0 592.307692307692 4.19911353855646e-12
+0 0 0 0 0 24 24 88 0 0 0 676.923076923077 2.37906248187757e-12
+0 0 0 0 0 24 24 96 0 0 0 761.538461538462 1.31847332439407e-12
+0 0 0 0 0 24 24 104 0 0 0 846.153846153846 7.17562603677342e-13
+0 0 0 0 0 24 24 112 0 0 0 930.769230769231 3.83944863279658e-13
+0 0 0 0 0 24 24 120 0 0 0 1015.38461538462 2.01744258573437e-13
+0 0 0 0 0 24 24 128 0 0 0 1100 1.03731572253765e-13
+0 0 0 0 0 24 24 136 0 0 0 1184.61538461538 5.18848293353642e-14
+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 2.5020603131021e-14
+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 1.14827224358344e-14
+0 0 0 0 0 24 24 160 0 0 0 1438.46153846154 4.91969484396652e-15
+0 0 0 0 0 24 24 168 0 0 0 1523.07692307692 1.91029897667753e-15
+0 0 0 0 0 24 24 176 0 0 0 1607.69230769231 6.40025166366195e-16
+0 0 0 0 0 24 24 184 0 0 0 1692.30769230769 1.68972972646661e-16
+0 0 0 0 0 24 24 192 0 0 0 1776.92307692308 2.87945716367367e-17
+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 1.71810535419451e-18
+0 0 0 0 0 24 24 208 0 0 0 1946.15384615385 2.45347640571467e-19
+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 2.45277613108865e-19
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 2.45213202556789e-19
+0 0 0 0 0 24 24 232 0 0 0 2200 2.45153759173899e-19
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 3.98881073385964e-11
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 4.30341409146511e-11
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 4.50636407358528e-11
+0 0 1 0 0 24 24 24 0 0 0 0 4.57625972626952e-11
+0 0 1 0 0 24 24 28 0 0 0 42.3076923076923 4.50636407358528e-11
+0 0 1 0 0 24 24 32 0 0 0 84.6153846153846 4.30341409146511e-11
+0 0 1 0 0 24 24 36 0 0 0 126.923076923077 3.98881073385964e-11
+0 0 1 0 0 24 24 40 0 0 0 169.230769230769 3.59351386226074e-11
+0 0 1 0 0 24 24 44 0 0 0 211.538461538462 3.152682017367e-11
+0 0 1 0 0 24 24 48 0 0 0 253.846153846154 2.69874507956238e-11
+0 0 1 0 0 24 24 52 0 0 0 296.153846153846 2.25916908025566e-11
+0 0 1 0 0 24 24 56 0 0 0 338.461538461538 1.85378019932091e-11
+0 0 1 0 0 24 24 60 0 0 0 380.769230769231 1.49451753156723e-11
+0 0 1 0 0 24 24 64 0 0 0 423.076923076923 1.18665025513385e-11
+0 0 1 0 0 24 24 68 0 0 0 465.384615384615 9.2960543095857e-12
+0 0 1 0 0 24 24 72 0 0 0 507.692307692308 7.19941805974989e-12
+0 0 1 0 0 24 24 76 0 0 0 550 5.52136052787302e-12
+0 0 1 0 0 24 24 80 0 0 0 592.307692307692 4.19911353855646e-12
+0 0 1 0 0 24 24 84 0 0 0 634.615384615385 3.17065514802213e-12
+0 0 1 0 0 24 24 88 0 0 0 676.923076923077 2.37906248187757e-12
+0 0 1 0 0 24 24 92 0 0 0 719.230769230769 1.77542399297342e-12
+0 0 1 0 0 24 24 96 0 0 0 761.538461538462 1.31847332439407e-12
+0 0 1 0 0 24 24 100 0 0 0 803.846153846154 9.74777625082768e-13
+0 0 1 0 0 24 24 104 0 0 0 846.153846153846 7.17562603677342e-13
+0 0 1 0 0 24 24 108 0 0 0 888.461538461538 5.4433506655863e-13
+0 0 1 0 0 24 24 112 0 0 0 930.769230769231 3.83944863279658e-13
+0 0 1 0 0 24 24 116 0 0 0 973.076923076923 2.89237399514017e-13
+0 0 1 0 0 24 24 120 0 0 0 1015.38461538462 2.01744258573437e-13
+0 0 1 0 0 24 24 124 0 0 0 1057.69230769231 1.50732490492593e-13
+0 0 1 0 0 24 24 128 0 0 0 1100 1.03731572253765e-13
+0 0 1 0 0 24 24 132 0 0 0 1142.30769230769 7.67039705386427e-14
+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 5.18848293353642e-14
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 3.78509840483333e-14
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 4.42046600260942e-11
+0 0 2 0 0 24 24 20 0 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 4.50636407358528e-11
+0 0 2 0 0 24 24 22 0 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 4.55876212602839e-11
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 4.57625972626952e-11
+0 0 2 0 0 24 24 26 0 7.105427357601e-15 7.105427357601e-15 21.1538461538462 4.55876212602839e-11
+0 0 2 0 0 24 24 28 0 7.105427357601e-15 7.105427357601e-15 42.3076923076923 4.50636407358528e-11
+0 0 2 0 0 24 24 30 0 7.105427357601e-15 7.105427357601e-15 63.4615384615385 4.42046600260942e-11
+0 0 2 0 0 24 24 32 0 7.105427357601e-15 7.105427357601e-15 84.6153846153846 4.30341409146511e-11
+0 0 2 0 0 24 24 34 0 7.105427357601e-15 7.105427357601e-15 105.769230769231 4.15830417652399e-11
+0 0 2 0 0 24 24 36 0 7.105427357601e-15 7.105427357601e-15 126.923076923077 3.98881073385964e-11
+0 0 2 0 0 24 24 38 0 7.105427357601e-15 7.105427357601e-15 148.076923076923 3.79904598548002e-11
+0 0 2 0 0 24 24 40 0 7.105427357601e-15 7.105427357601e-15 169.230769230769 3.59351386226074e-11
+0 0 2 0 0 24 24 42 0 7.105427357601e-15 7.105427357601e-15 190.384615384615 3.3768182567149e-11
+0 0 2 0 0 24 24 44 0 7.105427357601e-15 7.105427357601e-15 211.538461538462 3.152682017367e-11
+0 0 2 0 0 24 24 46 0 7.105427357601e-15 7.105427357601e-15 232.692307692308 2.92520750341174e-11
+0 0 2 0 0 24 24 48 0 7.105427357601e-15 7.105427357601e-15 253.846153846154 2.69874507956238e-11
+0 0 2 0 0 24 24 50 0 7.105427357601e-15 7.105427357601e-15 275 2.47546522651073e-11
+0 0 2 0 0 24 24 52 0 7.105427357601e-15 7.105427357601e-15 296.153846153846 2.25916908025566e-11
+0 0 2 0 0 24 24 54 0 7.105427357601e-15 7.105427357601e-15 317.307692307692 2.05109973195728e-11
+0 0 2 0 0 24 24 56 0 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.85378019932091e-11
+0 0 2 0 0 24 24 58 0 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.66797689443517e-11
+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.49451753156723e-11
+0 0 2 0 0 24 24 62 0 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.33409860872814e-11
+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.18665025513385e-11
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.05618655169671e-11
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 9.2960543095857e-12
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 8.23115677529375e-12
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 7.19941805974989e-12
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 6.34660910479751e-12
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 5.52136052787302e-12
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 4.84903320581587e-12
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 4.19911353855646e-12
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 3.6759385228573e-12
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 3.9886344355882e-11
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 4.30320859618097e-11
+4 0 1 0 0 24 24 20 15.8653846153846 0 0 -42.3076923076923 4.50614766764493e-11
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 4.57594250328497e-11
+4 0 1 0 0 24 24 28 15.8653846153846 0 0 42.3076923076923 4.50614766764493e-11
+4 0 1 0 0 24 24 32 15.8653846153846 0 0 84.6153846153846 4.30320859618097e-11
+4 0 1 0 0 24 24 36 15.8653846153846 0 0 126.923076923077 3.9886344355882e-11
+4 0 1 0 0 24 24 40 15.8653846153846 0 0 169.230769230769 3.59335776446033e-11
+4 0 1 0 0 24 24 44 15.8653846153846 0 0 211.538461538462 3.15255242051278e-11
+4 0 1 0 0 24 24 48 15.8653846153846 0 0 253.846153846154 2.69863730364496e-11
+4 0 1 0 0 24 24 52 15.8653846153846 0 0 296.153846153846 2.25908378170696e-11
+4 0 1 0 0 24 24 56 15.8653846153846 0 0 338.461538461538 1.85371519117887e-11
+4 0 1 0 0 24 24 60 15.8653846153846 0 0 380.769230769231 1.49446758629369e-11
+4 0 1 0 0 24 24 64 15.8653846153846 0 0 423.076923076923 1.18661375044516e-11
+4 0 1 0 0 24 24 68 15.8653846153846 0 0 465.384615384615 9.29550263983171e-12
+4 0 1 0 0 24 24 72 15.8653846153846 0 0 507.692307692308 7.19902592407927e-12
+4 0 1 0 0 24 24 76 15.8653846153846 0 0 550 5.52108267024598e-12
+4 0 1 0 0 24 24 80 15.8653846153846 0 0 592.307692307692 4.19891708096688e-12
+4 0 1 0 0 24 24 84 15.8653846153846 0 0 634.615384615385 3.17051876597344e-12
+4 0 1 0 0 24 24 88 15.8653846153846 0 0 676.923076923077 2.37896876740691e-12
+4 0 1 0 0 24 24 92 15.8653846153846 0 0 719.230769230769 1.77535877420289e-12
+4 0 1 0 0 24 24 96 15.8653846153846 0 0 761.538461538462 1.31842869929601e-12
+4 0 1 0 0 24 24 100 15.8653846153846 0 0 803.846153846154 9.74747593781862e-13
+4 0 1 0 0 24 24 104 15.8653846153846 0 0 846.153846153846 7.17541970562621e-13
+4 0 1 0 0 24 24 108 15.8653846153846 0 0 888.461538461538 5.44303709640511e-13
+4 0 1 0 0 24 24 112 15.8653846153846 0 0 930.769230769231 3.83924751712162e-13
+4 0 1 0 0 24 24 116 15.8653846153846 0 0 973.076923076923 2.89222991128957e-13
+4 0 1 0 0 24 24 120 15.8653846153846 0 0 1015.38461538462 2.01735047824284e-13
+4 0 1 0 0 24 24 124 15.8653846153846 0 0 1057.69230769231 1.50725928843377e-13
+4 0 1 0 0 24 24 128 15.8653846153846 0 0 1100 1.03727419531057e-13
+4 0 1 0 0 24 24 132 15.8653846153846 0 0 1142.30769230769 7.67010253407977e-14
+4 0 1 0 0 24 24 136 15.8653846153846 0 0 1184.61538461538 5.18829798964775e-14
+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 3.78496830139206e-14
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 24 18 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 4.42024939395391e-11
+4 0 2 0 0 24 24 20 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 4.50614766764493e-11
+4 0 2 0 0 24 24 22 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 4.55860617083086e-11
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 4.57594250328497e-11
+4 0 2 0 0 24 24 26 15.8653846153846 7.105427357601e-15 7.105427357601e-15 21.1538461538462 4.55860617083086e-11
+4 0 2 0 0 24 24 28 15.8653846153846 7.105427357601e-15 7.105427357601e-15 42.3076923076923 4.50614766764493e-11
+4 0 2 0 0 24 24 30 15.8653846153846 7.105427357601e-15 7.105427357601e-15 63.4615384615385 4.42024939395391e-11
+4 0 2 0 0 24 24 32 15.8653846153846 7.105427357601e-15 7.105427357601e-15 84.6153846153846 4.30320859618097e-11
+4 0 2 0 0 24 24 34 15.8653846153846 7.105427357601e-15 7.105427357601e-15 105.769230769231 4.15811129329425e-11
+4 0 2 0 0 24 24 36 15.8653846153846 7.105427357601e-15 7.105427357601e-15 126.923076923077 3.9886344355882e-11
+4 0 2 0 0 24 24 38 15.8653846153846 7.105427357601e-15 7.105427357601e-15 148.076923076923 3.79888172101021e-11
+4 0 2 0 0 24 24 40 15.8653846153846 7.105427357601e-15 7.105427357601e-15 169.230769230769 3.59335776446033e-11
+4 0 2 0 0 24 24 42 15.8653846153846 7.105427357601e-15 7.105427357601e-15 190.384615384615 3.3766705784018e-11
+4 0 2 0 0 24 24 44 15.8653846153846 7.105427357601e-15 7.105427357601e-15 211.538461538462 3.15255242051278e-11
+4 0 2 0 0 24 24 46 15.8653846153846 7.105427357601e-15 7.105427357601e-15 232.692307692308 2.92508772984693e-11
+4 0 2 0 0 24 24 48 15.8653846153846 7.105427357601e-15 7.105427357601e-15 253.846153846154 2.69863730364496e-11
+4 0 2 0 0 24 24 50 15.8653846153846 7.105427357601e-15 7.105427357601e-15 275 2.47537028585487e-11
+4 0 2 0 0 24 24 52 15.8653846153846 7.105427357601e-15 7.105427357601e-15 296.153846153846 2.25908378170696e-11
+4 0 2 0 0 24 24 54 15.8653846153846 7.105427357601e-15 7.105427357601e-15 317.307692307692 2.05102411572408e-11
+4 0 2 0 0 24 24 56 15.8653846153846 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.85371519117887e-11
+4 0 2 0 0 24 24 58 15.8653846153846 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.66791938446808e-11
+4 0 2 0 0 24 24 60 15.8653846153846 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.49446758629369e-11
+4 0 2 0 0 24 24 62 15.8653846153846 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.33405685806293e-11
+4 0 2 0 0 24 24 64 15.8653846153846 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.18661375044516e-11
+4 0 2 0 0 24 24 66 15.8653846153846 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.05614034481872e-11
+4 0 2 0 0 24 24 68 15.8653846153846 7.105427357601e-15 7.105427357601e-15 465.384615384615 9.29550263983171e-12
+4 0 2 0 0 24 24 70 15.8653846153846 7.105427357601e-15 7.105427357601e-15 486.538461538462 8.23068645522921e-12
+4 0 2 0 0 24 24 72 15.8653846153846 7.105427357601e-15 7.105427357601e-15 507.692307692308 7.19902592407927e-12
+4 0 2 0 0 24 24 74 15.8653846153846 7.105427357601e-15 7.105427357601e-15 528.846153846154 6.34627526596476e-12
+4 0 2 0 0 24 24 76 15.8653846153846 7.105427357601e-15 7.105427357601e-15 550 5.52108267024598e-12
+4 0 2 0 0 24 24 78 15.8653846153846 7.105427357601e-15 7.105427357601e-15 571.153846153846 4.84879688316284e-12
+4 0 2 0 0 24 24 80 15.8653846153846 7.105427357601e-15 7.105427357601e-15 592.307692307692 4.19891708096688e-12
+4 0 2 0 0 24 24 82 15.8653846153846 7.105427357601e-15 7.105427357601e-15 613.461538461538 3.67577274387711e-12
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 24 0 31.7307692307692 0 0 -253.846153846154 2.69853057354903e-11
+8 0 0 0 0 24 24 8 31.7307692307692 0 0 -169.230769230769 3.59320652585468e-11
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+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 2.45153769668116e-19
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 24 12 31.7307692307692 0 0 -126.923076923077 3.98846168991389e-11
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+8 0 1 0 0 24 24 20 31.7307692307692 0 0 -42.3076923076923 4.50594049408661e-11
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+8 0 1 0 0 24 24 32 31.7307692307692 0 0 84.6153846153846 4.3030102427314e-11
+8 0 1 0 0 24 24 36 31.7307692307692 0 0 126.923076923077 3.98846168991389e-11
+8 0 1 0 0 24 24 40 31.7307692307692 0 0 169.230769230769 3.59320652585468e-11
+8 0 1 0 0 24 24 44 31.7307692307692 0 0 211.538461538462 3.15242452831941e-11
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+8 0 1 0 0 24 24 56 31.7307692307692 0 0 338.461538461538 1.85365025746703e-11
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+8 0 1 0 0 24 24 84 31.7307692307692 0 0 634.615384615385 3.17038159281417e-12
+8 0 1 0 0 24 24 88 31.7307692307692 0 0 676.923076923077 2.37887441021257e-12
+8 0 1 0 0 24 24 92 31.7307692307692 0 0 719.230769230769 1.7752930531719e-12
+8 0 1 0 0 24 24 96 31.7307692307692 0 0 761.538461538462 1.31838341408683e-12
+8 0 1 0 0 24 24 100 31.7307692307692 0 0 803.846153846154 9.74718277538735e-13
+8 0 1 0 0 24 24 104 31.7307692307692 0 0 846.153846153846 7.17521424737116e-13
+8 0 1 0 0 24 24 108 31.7307692307692 0 0 888.461538461538 5.44293906953234e-13
+8 0 1 0 0 24 24 112 31.7307692307692 0 0 930.769230769231 3.8390464456954e-13
+8 0 1 0 0 24 24 116 31.7307692307692 0 0 973.076923076923 2.89208585958294e-13
+8 0 1 0 0 24 24 120 31.7307692307692 0 0 1015.38461538462 2.01725839015232e-13
+8 0 1 0 0 24 24 124 31.7307692307692 0 0 1057.69230769231 1.5071936865031e-13
+8 0 1 0 0 24 24 128 31.7307692307692 0 0 1100 1.03723267787873e-13
+8 0 1 0 0 24 24 132 31.7307692307692 0 0 1142.30769230769 7.66980808338811e-14
+8 0 1 0 0 24 24 136 31.7307692307692 0 0 1184.61538461538 5.18811308813271e-14
+8 0 1 0 0 24 24 140 31.7307692307692 0 0 1226.92307692308 3.78483822783139e-14
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 24 18 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 4.42004079845574e-11
+8 0 2 0 0 24 24 20 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 4.50594049408661e-11
+8 0 2 0 0 24 24 22 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 4.55845489321925e-11
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+8 0 2 0 0 24 24 28 31.7307692307692 7.105427357601e-15 7.105427357601e-15 42.3076923076923 4.50594049408661e-11
+8 0 2 0 0 24 24 30 31.7307692307692 7.105427357601e-15 7.105427357601e-15 63.4615384615385 4.42004079845574e-11
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+8 0 2 0 0 24 24 38 31.7307692307692 7.105427357601e-15 7.105427357601e-15 148.076923076923 3.79872092427021e-11
+8 0 2 0 0 24 24 40 31.7307692307692 7.105427357601e-15 7.105427357601e-15 169.230769230769 3.59320652585468e-11
+8 0 2 0 0 24 24 42 31.7307692307692 7.105427357601e-15 7.105427357601e-15 190.384615384615 3.37652696233299e-11
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+8 0 2 0 0 24 24 46 31.7307692307692 7.105427357601e-15 7.105427357601e-15 232.692307692308 2.92497130537414e-11
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+8 0 2 0 0 24 24 50 31.7307692307692 7.105427357601e-15 7.105427357601e-15 275 2.47527673921349e-11
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+8 0 2 0 0 24 24 54 31.7307692307692 7.105427357601e-15 7.105427357601e-15 317.307692307692 2.050949967171e-11
+8 0 2 0 0 24 24 56 31.7307692307692 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.85365025746703e-11
+8 0 2 0 0 24 24 58 31.7307692307692 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.66786184628925e-11
+8 0 2 0 0 24 24 60 31.7307692307692 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.4944179789346e-11
+8 0 2 0 0 24 24 62 31.7307692307692 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.33401656298679e-11
+8 0 2 0 0 24 24 64 31.7307692307692 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.18657849753186e-11
+8 0 2 0 0 24 24 66 31.7307692307692 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.05609444955575e-11
+8 0 2 0 0 24 24 68 31.7307692307692 7.105427357601e-15 7.105427357601e-15 465.384615384615 9.29494522188012e-12
+8 0 2 0 0 24 24 70 31.7307692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 8.23021340480277e-12
+8 0 2 0 0 24 24 72 31.7307692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 7.19863388713639e-12
+8 0 2 0 0 24 24 74 31.7307692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 6.34594121159832e-12
+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 5.52080430663319e-12
+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 4.8485599404726e-12
+8 0 2 0 0 24 24 80 31.7307692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 4.19871989610832e-12
+8 0 2 0 0 24 24 82 31.7307692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 3.67560620222916e-12
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 24 12 47.5961538461538 0 0 -126.923076923077 3.9882926539088e-11
+12 0 1 0 0 24 24 16 47.5961538461538 0 0 -84.6153846153846 4.3028184764271e-11
+12 0 1 0 0 24 24 20 47.5961538461538 0 0 -42.3076923076923 4.50574113490535e-11
+12 0 1 0 0 24 24 24 47.5961538461538 0 0 0 4.5753231026969e-11
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+12 0 1 0 0 24 24 32 47.5961538461538 0 0 84.6153846153846 4.3028184764271e-11
+12 0 1 0 0 24 24 36 47.5961538461538 0 0 126.923076923077 3.9882926539088e-11
+12 0 1 0 0 24 24 40 47.5961538461538 0 0 169.230769230769 3.59305880094112e-11
+12 0 1 0 0 24 24 44 47.5961538461538 0 0 211.538461538462 3.15229853883028e-11
+12 0 1 0 0 24 24 48 47.5961538461538 0 0 253.846153846154 2.69842478499276e-11
+12 0 1 0 0 24 24 52 47.5961538461538 0 0 296.153846153846 2.25891466126906e-11
+12 0 1 0 0 24 24 56 47.5961538461538 0 0 338.461538461538 1.85358544668284e-11
+12 0 1 0 0 24 24 60 47.5961538461538 0 0 380.769230769231 1.49436836086931e-11
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+12 0 1 0 0 24 24 68 47.5961538461538 0 0 465.384615384615 9.29438261706188e-12
+12 0 1 0 0 24 24 72 47.5961538461538 0 0 507.692307692308 7.19824198624858e-12
+12 0 1 0 0 24 24 76 47.5961538461538 0 0 550 5.52052547967269e-12
+12 0 1 0 0 24 24 80 47.5961538461538 0 0 592.307692307692 4.19852201486563e-12
+12 0 1 0 0 24 24 84 47.5961538461538 0 0 634.615384615385 3.1702436355433e-12
+12 0 1 0 0 24 24 88 47.5961538461538 0 0 676.923076923077 2.37877940348944e-12
+12 0 1 0 0 24 24 92 47.5961538461538 0 0 719.230769230769 1.77522684106654e-12
+12 0 1 0 0 24 24 96 47.5961538461538 0 0 761.538461538462 1.31833748338405e-12
+12 0 1 0 0 24 24 100 47.5961538461538 0 0 803.846153846154 9.74689658093997e-13
+12 0 1 0 0 24 24 104 47.5961538461538 0 0 846.153846153846 7.17501507970474e-13
+12 0 1 0 0 24 24 108 47.5961538461538 0 0 888.461538461538 5.44261738764546e-13
+12 0 1 0 0 24 24 112 47.5961538461538 0 0 930.769230769231 3.83883653680541e-13
+12 0 1 0 0 24 24 116 47.5961538461538 0 0 973.076923076923 2.89193703953991e-13
+12 0 1 0 0 24 24 120 47.5961538461538 0 0 1015.38461538462 2.01716511124043e-13
+12 0 1 0 0 24 24 124 47.5961538461538 0 0 1057.69230769231 1.50712717494167e-13
+12 0 1 0 0 24 24 128 47.5961538461538 0 0 1100 1.03719051196405e-13
+12 0 1 0 0 24 24 132 47.5961538461538 0 0 1142.30769230769 7.66950892087793e-14
+12 0 1 0 0 24 24 136 47.5961538461538 0 0 1184.61538461538 5.18792509424236e-14
+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 3.78470593462138e-14
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 24 18 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 4.41984049052611e-11
+12 0 2 0 0 24 24 20 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 4.50574113490535e-11
+12 0 2 0 0 24 24 22 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 4.55830857949551e-11
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+12 0 2 0 0 24 24 26 47.5961538461538 7.105427357601e-15 7.105427357601e-15 21.1538461538462 4.55830857949551e-11
+12 0 2 0 0 24 24 28 47.5961538461538 7.105427357601e-15 7.105427357601e-15 42.3076923076923 4.50574113490535e-11
+12 0 2 0 0 24 24 30 47.5961538461538 7.105427357601e-15 7.105427357601e-15 63.4615384615385 4.41984049052611e-11
+12 0 2 0 0 24 24 32 47.5961538461538 7.105427357601e-15 7.105427357601e-15 84.6153846153846 4.3028184764271e-11
+12 0 2 0 0 24 24 34 47.5961538461538 7.105427357601e-15 7.105427357601e-15 105.769230769231 4.15774407729638e-11
+12 0 2 0 0 24 24 36 47.5961538461538 7.105427357601e-15 7.105427357601e-15 126.923076923077 3.9882926539088e-11
+12 0 2 0 0 24 24 38 47.5961538461538 7.105427357601e-15 7.105427357601e-15 148.076923076923 3.79856385554438e-11
+12 0 2 0 0 24 24 40 47.5961538461538 7.105427357601e-15 7.105427357601e-15 169.230769230769 3.59305880094112e-11
+12 0 2 0 0 24 24 42 47.5961538461538 7.105427357601e-15 7.105427357601e-15 190.384615384615 3.37638635989201e-11
+12 0 2 0 0 24 24 44 47.5961538461538 7.105427357601e-15 7.105427357601e-15 211.538461538462 3.15229853883028e-11
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+12 0 2 0 0 24 24 48 47.5961538461538 7.105427357601e-15 7.105427357601e-15 253.846153846154 2.69842478499276e-11
+12 0 2 0 0 24 24 50 47.5961538461538 7.105427357601e-15 7.105427357601e-15 275 2.47518434532986e-11
+12 0 2 0 0 24 24 52 47.5961538461538 7.105427357601e-15 7.105427357601e-15 296.153846153846 2.25891466126906e-11
+12 0 2 0 0 24 24 54 47.5961538461538 7.105427357601e-15 7.105427357601e-15 317.307692307692 2.05087653680293e-11
+12 0 2 0 0 24 24 56 47.5961538461538 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.85358544668284e-11
+12 0 2 0 0 24 24 58 47.5961538461538 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.66780425554086e-11
+12 0 2 0 0 24 24 60 47.5961538461538 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.49436836086931e-11
+12 0 2 0 0 24 24 62 47.5961538461538 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.33397754652277e-11
+12 0 2 0 0 24 24 64 47.5961538461538 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.1865440400184e-11
+12 0 2 0 0 24 24 66 47.5961538461538 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.0560486752627e-11
+12 0 2 0 0 24 24 68 47.5961538461538 7.105427357601e-15 7.105427357601e-15 465.384615384615 9.29438261706188e-12
+12 0 2 0 0 24 24 70 47.5961538461538 7.105427357601e-15 7.105427357601e-15 486.538461538462 8.22973790045819e-12
+12 0 2 0 0 24 24 72 47.5961538461538 7.105427357601e-15 7.105427357601e-15 507.692307692308 7.19824198624858e-12
+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 6.34560698206356e-12
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 5.52052547967269e-12
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 4.8483224119046e-12
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 4.19852201486563e-12
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 3.67543892056661e-12
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 24 24 0 63.4615384615385 0 0 -253.846153846154 2.69832012460413e-11
+16 0 0 0 0 24 24 8 63.4615384615385 0 0 -169.230769230769 3.59291470057278e-11
+16 0 0 0 0 24 24 16 63.4615384615385 0 0 -84.6153846153846 4.30263128736576e-11
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+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 1.71844097638245e-18
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+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 2.45153772635022e-19
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 24 100 63.4615384615385 0 0 803.846153846154 9.74661717968493e-13
+16 0 1 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 7.17481720049361e-13
+16 0 1 0 0 24 24 108 63.4615384615385 0 0 888.461538461538 5.44252473085354e-13
+16 0 1 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 3.83862666951045e-13
+16 0 1 0 0 24 24 116 63.4615384615385 0 0 973.076923076923 2.89178825199292e-13
+16 0 1 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 2.01707185324821e-13
+16 0 1 0 0 24 24 124 63.4615384615385 0 0 1057.69230769231 1.50706067817037e-13
+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 1.0371483552303e-13
+16 0 1 0 0 24 24 132 63.4615384615385 0 0 1142.30769230769 7.66920982397869e-14
+16 0 1 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 5.18773714196308e-14
+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 3.78457367082604e-14
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 24 24 68 63.4615384615385 7.105427357601e-15 7.105427357601e-15 465.384615384615 9.29381527722856e-12
+16 0 2 0 0 24 24 70 63.4615384615385 7.105427357601e-15 7.105427357601e-15 486.538461538462 8.22926017537686e-12
+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 7.19785024273064e-12
+16 0 2 0 0 24 24 74 63.4615384615385 7.105427357601e-15 7.105427357601e-15 528.846153846154 6.3452726030858e-12
+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 5.52024621692056e-12
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 4.84808431548022e-12
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 4.19832344858319e-12
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 3.67527090388109e-12
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 24 108 79.3269230769231 0 0 888.461538461538 5.4421952541258e-13
+20 0 1 0 0 24 24 112 79.3269230769231 0 0 930.769230769231 3.83840843741721e-13
+20 0 1 0 0 24 24 116 79.3269230769231 0 0 973.076923076923 2.89163489172017e-13
+20 0 1 0 0 24 24 120 79.3269230769231 0 0 1015.38461538462 2.01697736091381e-13
+20 0 1 0 0 24 24 124 79.3269230769231 0 0 1057.69230769231 1.5069932524808e-13
+20 0 1 0 0 24 24 128 79.3269230769231 0 0 1100 1.03710555136898e-13
+20 0 1 0 0 24 24 132 79.3269230769231 0 0 1142.30769230769 7.66890602252848e-14
+20 0 1 0 0 24 24 136 79.3269230769231 0 0 1184.61538461538 5.18754609838189e-14
+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 3.78443918805731e-14
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 2 0 0 24 24 56 79.3269230769231 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.85345674619735e-11
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+20 0 2 0 0 24 24 64 79.3269230769231 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.1864773954583e-11
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+20 0 2 0 0 24 24 68 79.3269230769231 7.105427357601e-15 7.105427357601e-15 465.384615384615 9.29324350495413e-12
+20 0 2 0 0 24 24 70 79.3269230769231 7.105427357601e-15 7.105427357601e-15 486.538461538462 8.22878039555366e-12
+20 0 2 0 0 24 24 72 79.3269230769231 7.105427357601e-15 7.105427357601e-15 507.692307692308 7.19745867600561e-12
+20 0 2 0 0 24 24 74 79.3269230769231 7.105427357601e-15 7.105427357601e-15 528.846153846154 6.34493809222774e-12
+20 0 2 0 0 24 24 76 79.3269230769231 7.105427357601e-15 7.105427357601e-15 550 5.51996653424772e-12
+20 0 2 0 0 24 24 78 79.3269230769231 7.105427357601e-15 7.105427357601e-15 571.153846153846 4.84784566631058e-12
+20 0 2 0 0 24 24 80 79.3269230769231 7.105427357601e-15 7.105427357601e-15 592.307692307692 4.19812420762453e-12
+20 0 2 0 0 24 24 82 79.3269230769231 7.105427357601e-15 7.105427357601e-15 613.461538461538 3.67510216083236e-12
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 3 0 0 24 24 21 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -31.7307692307692 4.53156404183123e-11
+20 0 3 0 0 24 24 22 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 4.55789972298291e-11
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+24 0 1 0 0 24 24 140 95.1923076923077 0 0 1226.92307692308 3.78430473435623e-14
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 24 24 53 95.1923076923077 7.105427357601e-15 7.105427357601e-15 306.730769230769 2.15404044904625e-11
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 24 140 111.057692307692 0 0 1226.92307692308 3.78416806195835e-14
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/tau_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/tau_maximum.xg
new file mode 100644
index 000000000..4ce234828
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/tau_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::tau
+"tau v time
+0.0000000000000e+00 4.5762597262695e-11
+7.9326923076923e+00 4.5761004918126e-11
+1.5865384615385e+01 4.5759425032850e-11
+2.3798076923077e+01 4.5757857146586e-11
+3.1730769230769e+01 4.5756301376961e-11
+3.9663461538462e+01 4.5754759163640e-11
+4.7596153846154e+01 4.5753231026969e-11
+5.5528846153846e+01 4.5751717509893e-11
+6.3461538461538e+01 4.5750219956805e-11
+7.1394230769231e+01 4.5748740872316e-11
+7.5360576923077e+01 4.5747244044285e-11
+7.9326923076923e+01 4.5745761213315e-11
+8.3293269230769e+01 4.5744289539244e-11
+8.7259615384615e+01 4.5742833669786e-11
+9.1225961538462e+01 4.5741394417361e-11
+9.5192307692308e+01 4.5739971966691e-11
+9.9158653846154e+01 4.5738566585368e-11
+1.0312500000000e+02 4.5737178597830e-11
+1.0709134615385e+02 4.5735808311037e-11
+1.1105769230769e+02 4.5734455991924e-11
+1.1502403846154e+02 4.5733121858200e-11
+1.1899038461538e+02 4.5731806087007e-11
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/tau_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/tau_minimum.xg
new file mode 100644
index 000000000..614cc8555
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/tau_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::tau
+"tau v time
+0.0000000000000e+00 2.4452639935578e-19
+7.9326923076923e+00 3.2574661158129e-13
+1.5865384615385e+01 2.4568664629980e-19
+2.3798076923077e+01 3.2574649886924e-13
+3.1730769230769e+01 2.4452639957666e-19
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+4.7596153846154e+01 2.4629822169436e-19
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+6.3461538461538e+01 2.4452639960427e-19
+7.1394230769231e+01 3.2574548229736e-13
+7.5360576923077e+01 8.7109509040521e-12
+7.9326923076923e+01 2.4691819741153e-19
+8.3293269230769e+01 8.7109516478964e-12
+8.7259615384615e+01 3.2574491801889e-13
+9.1225961538462e+01 8.7109525004482e-12
+9.5192307692308e+01 2.4452639957429e-19
+9.9158653846154e+01 8.7109534240649e-12
+1.0312500000000e+02 3.2574424118809e-13
+1.0709134615385e+02 8.7109543790482e-12
+1.1105769230769e+02 2.4754653068480e-19
+1.1502403846154e+02 8.7109553449698e-12
+1.1899038461538e+02 3.2574345153698e-13
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/tau_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/tau_norm1.xg
new file mode 100644
index 000000000..3c9078fd4
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/tau_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::tau
+"tau v time
+0.0000000000000e+00 5.4402988645784e-13
+7.9326923076923e+00 1.0620873949109e-11
+1.5865384615385e+01 2.4396688755428e-12
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+3.1730769230769e+01 5.4402100983250e-13
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+7.1394230769231e+01 1.0620920369969e-11
+7.5360576923077e+01 2.7416630098567e-11
+7.9326923076923e+01 2.4396373881024e-12
+8.3293269230769e+01 2.7416685924371e-11
+8.7259615384615e+01 1.0620906642645e-11
+9.1225961538462e+01 2.7416748121414e-11
+9.5192307692308e+01 5.4400279295681e-13
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+1.0312500000000e+02 1.0620902583721e-11
+1.0709134615385e+02 2.7416891392087e-11
+1.1105769230769e+02 2.4396172289136e-12
+1.1502403846154e+02 2.7416972406533e-11
+1.1899038461538e+02 1.0620906821297e-11
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/tau_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/tau_norm2.xg
new file mode 100644
index 000000000..bb74c9539
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/tau_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::tau
+"tau v time
+0.0000000000000e+00 3.1655482789092e-12
+7.9326923076923e+00 1.4625825086777e-11
+1.5865384615385e+01 6.8530463723944e-12
+2.3798076923077e+01 1.4625836051585e-11
+3.1730769230769e+01 3.1654747282810e-12
+3.9663461538462e+01 1.4625858893928e-11
+4.7596153846154e+01 6.8529744293782e-12
+5.5528846153846e+01 1.4625893557178e-11
+6.3461538461538e+01 3.1654097682799e-12
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+7.5360576923077e+01 2.8610554030739e-11
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+1.1105769230769e+02 6.8528130865098e-12
+1.1502403846154e+02 2.8610952476633e-11
+1.1899038461538e+02 1.4625885786085e-11
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/velx.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/velx.x.asc
new file mode 100644
index 000000000..8386accad
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/velx.x.asc
@@ -0,0 +1,864 @@
+# WHISKY::velx x (velx)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 0
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+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 0
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 0
+0 0 0 0 0 232 24 24 0 2200 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 0
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 0
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+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 0
+0 0 1 0 0 128 24 24 0 1100 0 0 0
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+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 0
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+0 0 2 0 0 60 24 24 0 380.769230769231 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 62 24 24 0 401.923076923077 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 64 24 24 0 423.076923076923 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 66 24 24 0 444.230769230769 7.105427357601e-15 7.105427357601e-15 0
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+0 0 2 0 0 70 24 24 0 486.538461538462 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 72 24 24 0 507.692307692308 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 74 24 24 0 528.846153846154 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 76 24 24 0 550 7.105427357601e-15 7.105427357601e-15 0
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+0 0 2 0 0 80 24 24 0 592.307692307692 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 12 24 24 15.8653846153846 -126.923076923077 0 0 2.9671867220737e-06
+4 0 1 0 0 16 24 24 15.8653846153846 -84.6153846153846 0 0 2.05561530137216e-06
+4 0 1 0 0 20 24 24 15.8653846153846 -42.3076923076923 0 0 1.08039130354736e-06
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+4 0 1 0 0 36 24 24 15.8653846153846 126.923076923077 0 0 -2.9671867220737e-06
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+4 0 1 0 0 52 24 24 15.8653846153846 296.153846153846 0 0 -5.53224080438764e-06
+4 0 1 0 0 56 24 24 15.8653846153846 338.461538461538 0 0 -5.84199262488695e-06
+4 0 1 0 0 60 24 24 15.8653846153846 380.769230769231 0 0 -5.92067987577197e-06
+4 0 1 0 0 64 24 24 15.8653846153846 423.076923076923 0 0 -8.30530915998416e-06
+4 0 1 0 0 68 24 24 15.8653846153846 465.384615384615 0 0 -5.72720776959942e-06
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+4 0 1 0 0 104 24 24 15.8653846153846 846.153846153846 0 0 -8.3232175618213e-06
+4 0 1 0 0 108 24 24 15.8653846153846 888.461538461538 0 0 -3.75132927547539e-06
+4 0 1 0 0 112 24 24 15.8653846153846 930.769230769231 0 0 -3.50519614618744e-06
+4 0 1 0 0 116 24 24 15.8653846153846 973.076923076923 0 0 -3.35853302418359e-06
+4 0 1 0 0 120 24 24 15.8653846153846 1015.38461538462 0 0 -3.11949814347391e-06
+4 0 1 0 0 124 24 24 15.8653846153846 1057.69230769231 0 0 -2.98300044314909e-06
+4 0 1 0 0 128 24 24 15.8653846153846 1100 0 0 -2.75706542993224e-06
+4 0 1 0 0 132 24 24 15.8653846153846 1142.30769230769 0 0 -2.63656552029362e-06
+4 0 1 0 0 136 24 24 15.8653846153846 1184.61538461538 0 0 -2.43304485614099e-06
+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 -2.32701321345343e-06
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 18 24 24 15.8653846153846 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.57688395144378e-06
+4 0 2 0 0 20 24 24 15.8653846153846 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.08039130354736e-06
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+4 0 2 0 0 52 24 24 15.8653846153846 296.153846153846 7.105427357601e-15 7.105427357601e-15 -5.53224080438764e-06
+4 0 2 0 0 54 24 24 15.8653846153846 317.307692307692 7.105427357601e-15 7.105427357601e-15 -5.62147615875948e-06
+4 0 2 0 0 56 24 24 15.8653846153846 338.461538461538 7.105427357601e-15 7.105427357601e-15 -5.84199262488695e-06
+4 0 2 0 0 58 24 24 15.8653846153846 359.615384615385 7.105427357601e-15 7.105427357601e-15 -5.86015593834062e-06
+4 0 2 0 0 60 24 24 15.8653846153846 380.769230769231 7.105427357601e-15 7.105427357601e-15 -5.92067987577197e-06
+4 0 2 0 0 62 24 24 15.8653846153846 401.923076923077 7.105427357601e-15 7.105427357601e-15 -5.76368337456601e-06
+4 0 2 0 0 64 24 24 15.8653846153846 423.076923076923 7.105427357601e-15 7.105427357601e-15 -8.30530915998416e-06
+4 0 2 0 0 66 24 24 15.8653846153846 444.230769230769 7.105427357601e-15 7.105427357601e-15 -7.13503014536415e-06
+4 0 2 0 0 68 24 24 15.8653846153846 465.384615384615 7.105427357601e-15 7.105427357601e-15 -5.72720776959942e-06
+4 0 2 0 0 70 24 24 15.8653846153846 486.538461538462 7.105427357601e-15 7.105427357601e-15 -5.6985204816012e-06
+4 0 2 0 0 72 24 24 15.8653846153846 507.692307692308 7.105427357601e-15 7.105427357601e-15 -5.66318840423425e-06
+4 0 2 0 0 74 24 24 15.8653846153846 528.846153846154 7.105427357601e-15 7.105427357601e-15 -5.60762783686638e-06
+4 0 2 0 0 76 24 24 15.8653846153846 550 7.105427357601e-15 7.105427357601e-15 -5.53920249126173e-06
+4 0 2 0 0 78 24 24 15.8653846153846 571.153846153846 7.105427357601e-15 7.105427357601e-15 -5.46238205992534e-06
+4 0 2 0 0 80 24 24 15.8653846153846 592.307692307692 7.105427357601e-15 7.105427357601e-15 -5.36740533866798e-06
+4 0 2 0 0 82 24 24 15.8653846153846 613.461538461538 7.105427357601e-15 7.105427357601e-15 -5.2734854642513e-06
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 0 24 24 31.7307692307692 -253.846153846154 0 0 1.02005016369591e-05
+8 0 0 0 0 8 24 24 31.7307692307692 -169.230769230769 0 0 7.73741326575726e-06
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+8 0 0 0 0 40 24 24 31.7307692307692 169.230769230769 0 0 -7.73741326575726e-06
+8 0 0 0 0 48 24 24 31.7307692307692 253.846153846154 0 0 -1.02005016369591e-05
+8 0 0 0 0 56 24 24 31.7307692307692 338.461538461539 0 0 -1.17187830848749e-05
+8 0 0 0 0 64 24 24 31.7307692307692 423.076923076923 0 0 -1.65044195319473e-05
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+8 0 0 0 0 80 24 24 31.7307692307692 592.307692307692 0 0 -1.0745982500742e-05
+8 0 0 0 0 88 24 24 31.7307692307692 676.923076923077 0 0 -9.84957733523525e-06
+8 0 0 0 0 96 24 24 31.7307692307692 761.538461538462 0 0 -8.8900020130991e-06
+8 0 0 0 0 104 24 24 31.7307692307692 846.153846153846 0 0 -1.65795230289769e-05
+8 0 0 0 0 112 24 24 31.7307692307692 930.769230769231 0 0 -7.01066803997135e-06
+8 0 0 0 0 120 24 24 31.7307692307692 1015.38461538462 0 0 -6.23921014052585e-06
+8 0 0 0 0 128 24 24 31.7307692307692 1100 0 0 -5.51429658917429e-06
+8 0 0 0 0 136 24 24 31.7307692307692 1184.61538461538 0 0 -4.86621991428882e-06
+8 0 0 0 0 144 24 24 31.7307692307692 1269.23076923077 0 0 -4.28616342700711e-06
+8 0 0 0 0 152 24 24 31.7307692307692 1353.84615384615 0 0 -3.7768025417199e-06
+8 0 0 0 0 160 24 24 31.7307692307692 1438.46153846154 0 0 -3.32686117201231e-06
+8 0 0 0 0 168 24 24 31.7307692307692 1523.07692307692 0 0 -2.92478647615446e-06
+8 0 0 0 0 176 24 24 31.7307692307692 1607.69230769231 0 0 -2.55289380202473e-06
+8 0 0 0 0 184 24 24 31.7307692307692 1692.30769230769 0 0 -2.08483279758061e-06
+8 0 0 0 0 192 24 24 31.7307692307692 1776.92307692308 0 0 -1.14507489673605e-06
+8 0 0 0 0 200 24 24 31.7307692307692 1861.53846153846 0 0 -1.1320784653507e-05
+8 0 0 0 0 208 24 24 31.7307692307692 1946.15384615385 0 0 -3.46694886306712e-05
+8 0 0 0 0 216 24 24 31.7307692307692 2030.76923076923 0 0 0
+8 0 0 0 0 224 24 24 31.7307692307692 2115.38461538462 0 0 0
+8 0 0 0 0 232 24 24 31.7307692307692 2200 0 0 0
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 12 24 24 31.7307692307692 -126.923076923077 0 0 5.92063110780728e-06
+8 0 1 0 0 16 24 24 31.7307692307692 -84.6153846153846 0 0 4.1468854611323e-06
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+8 0 1 0 0 100 24 24 31.7307692307692 803.846153846154 0 0 -7.53193383218364e-06
+8 0 1 0 0 104 24 24 31.7307692307692 846.153846153846 0 0 -1.65795230289769e-05
+8 0 1 0 0 108 24 24 31.7307692307692 888.461538461538 0 0 -1.29022052634231e-05
+8 0 1 0 0 112 24 24 31.7307692307692 930.769230769231 0 0 -7.01066803997135e-06
+8 0 1 0 0 116 24 24 31.7307692307692 973.076923076923 0 0 -6.71731729458968e-06
+8 0 1 0 0 120 24 24 31.7307692307692 1015.38461538462 0 0 -6.23921014052585e-06
+8 0 1 0 0 124 24 24 31.7307692307692 1057.69230769231 0 0 -5.96619586696474e-06
+8 0 1 0 0 128 24 24 31.7307692307692 1100 0 0 -5.51429658917429e-06
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+8 0 1 0 0 136 24 24 31.7307692307692 1184.61538461538 0 0 -4.86621991428882e-06
+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 -4.65414650310994e-06
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 18 24 24 31.7307692307692 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 3.18838970863236e-06
+8 0 2 0 0 20 24 24 31.7307692307692 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 2.11015270069575e-06
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+8 0 2 0 0 64 24 24 31.7307692307692 423.076923076923 7.105427357601e-15 7.105427357601e-15 -1.65044195319473e-05
+8 0 2 0 0 66 24 24 31.7307692307692 444.230769230769 7.105427357601e-15 7.105427357601e-15 -1.42104499424485e-05
+8 0 2 0 0 68 24 24 31.7307692307692 465.384615384615 7.105427357601e-15 7.105427357601e-15 -1.14507672455968e-05
+8 0 2 0 0 70 24 24 31.7307692307692 486.538461538462 7.105427357601e-15 7.105427357601e-15 -1.13952219601057e-05
+8 0 2 0 0 72 24 24 31.7307692307692 507.692307692308 7.105427357601e-15 7.105427357601e-15 -1.13267768853025e-05
+8 0 2 0 0 74 24 24 31.7307692307692 528.846153846154 7.105427357601e-15 7.105427357601e-15 -1.12182829491544e-05
+8 0 2 0 0 76 24 24 31.7307692307692 550 7.105427357601e-15 7.105427357601e-15 -1.10846418518641e-05
+8 0 2 0 0 78 24 24 31.7307692307692 571.153846153846 7.105427357601e-15 7.105427357601e-15 -1.0933214801856e-05
+8 0 2 0 0 80 24 24 31.7307692307692 592.307692307692 7.105427357601e-15 7.105427357601e-15 -1.0745982500742e-05
+8 0 2 0 0 82 24 24 31.7307692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 -1.05533716863881e-05
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 12 24 24 47.5961538461538 -126.923076923077 0 0 8.91050690379246e-06
+12 0 1 0 0 16 24 24 47.5961538461538 -84.6153846153846 0 0 6.23205974952701e-06
+12 0 1 0 0 20 24 24 47.5961538461538 -42.3076923076923 0 0 3.08899268014016e-06
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+12 0 1 0 0 100 24 24 47.5961538461538 803.846153846154 0 0 -1.13417687101002e-05
+12 0 1 0 0 104 24 24 47.5961538461538 846.153846153846 0 0 -2.47936102706698e-05
+12 0 1 0 0 108 24 24 47.5961538461538 888.461538461538 0 0 -1.66310695125841e-05
+12 0 1 0 0 112 24 24 47.5961538461538 930.769230769231 0 0 -1.05367316859842e-05
+12 0 1 0 0 116 24 24 47.5961538461538 973.076923076923 0 0 -1.00908425341745e-05
+12 0 1 0 0 120 24 24 47.5961538461538 1015.38461538462 0 0 -9.3641692100662e-06
+12 0 1 0 0 124 24 24 47.5961538461538 1057.69230769231 0 0 -8.95376789627134e-06
+12 0 1 0 0 128 24 24 47.5961538461538 1100 0 0 -8.2744697592953e-06
+12 0 1 0 0 132 24 24 47.5961538461538 1142.30769230769 0 0 -7.91299132215088e-06
+12 0 1 0 0 136 24 24 47.5961538461538 1184.61538461538 0 0 -7.30246835028329e-06
+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 -6.98407644065595e-06
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 18 24 24 47.5961538461538 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 4.75279785105333e-06
+12 0 2 0 0 20 24 24 47.5961538461538 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 3.08899268014016e-06
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+12 0 2 0 0 64 24 24 47.5961538461538 423.076923076923 7.105427357601e-15 7.105427357601e-15 -2.45472294123317e-05
+12 0 2 0 0 66 24 24 47.5961538461538 444.230769230769 7.105427357601e-15 7.105427357601e-15 -2.12012350583239e-05
+12 0 2 0 0 68 24 24 47.5961538461538 465.384615384615 7.105427357601e-15 7.105427357601e-15 -1.71758120135033e-05
+12 0 2 0 0 70 24 24 47.5961538461538 486.538461538462 7.105427357601e-15 7.105427357601e-15 -1.70951631153032e-05
+12 0 2 0 0 72 24 24 47.5961538461538 507.692307692308 7.105427357601e-15 7.105427357601e-15 -1.69957328336424e-05
+12 0 2 0 0 74 24 24 47.5961538461538 528.846153846154 7.105427357601e-15 7.105427357601e-15 -1.68337318986807e-05
+12 0 2 0 0 76 24 24 47.5961538461538 550 7.105427357601e-15 7.105427357601e-15 -1.66341740671164e-05
+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 -1.64107960316845e-05
+12 0 2 0 0 80 24 24 47.5961538461538 592.307692307692 7.105427357601e-15 7.105427357601e-15 -1.61345726140656e-05
+12 0 2 0 0 82 24 24 47.5961538461538 613.461538461538 7.105427357601e-15 7.105427357601e-15 -1.58443177772233e-05
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 0 24 24 63.4615384615385 -253.846153846154 0 0 2.04049602280014e-05
+16 0 0 0 0 8 24 24 63.4615384615385 -169.230769230769 0 0 1.54574820469952e-05
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+16 0 0 0 0 144 24 24 63.4615384615385 1269.23076923077 0 0 -8.57717246329805e-06
+16 0 0 0 0 152 24 24 63.4615384615385 1353.84615384615 0 0 -7.55777464269096e-06
+16 0 0 0 0 160 24 24 63.4615384615385 1438.46153846154 0 0 -6.65702269508168e-06
+16 0 0 0 0 168 24 24 63.4615384615385 1523.07692307692 0 0 -5.85209756127705e-06
+16 0 0 0 0 176 24 24 63.4615384615385 1607.69230769231 0 0 -5.10776057171175e-06
+16 0 0 0 0 184 24 24 63.4615384615385 1692.30769230769 0 0 -4.17058652156544e-06
+16 0 0 0 0 192 24 24 63.4615384615385 1776.92307692308 0 0 -2.29348019181501e-06
+16 0 0 0 0 200 24 24 63.4615384615385 1861.53846153846 0 0 -2.26359624312613e-05
+16 0 0 0 0 208 24 24 63.4615384615385 1946.15384615385 0 0 -6.9304679300789e-05
+16 0 0 0 0 216 24 24 63.4615384615385 2030.76923076923 0 0 0
+16 0 0 0 0 224 24 24 63.4615384615385 2115.38461538462 0 0 0
+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 12 24 24 63.4615384615385 -126.923076923077 0 0 1.19072231399656e-05
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+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 -9.31412874616799e-06
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 18 24 24 63.4615384615385 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 6.34725654016523e-06
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 -1.1648082791356e-05
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 140 24 24 111.057692307692 1226.92307692308 0 0 -1.63215111296051e-05
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 -3.72088013159596e-05
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 -3.79345051018804e-05
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 -3.87117162430534e-05
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 -3.90856264033438e-05
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/velx.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/velx.y.asc
new file mode 100644
index 000000000..49624e558
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/velx.y.asc
@@ -0,0 +1,864 @@
+# WHISKY::velx y (velx)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 0
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 0
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+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 0
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 0
+0 0 0 0 0 24 232 24 0 0 2200 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 0
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 0
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+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 18 24 0 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0
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+0 0 2 0 0 24 58 24 0 7.105427357601e-15 359.615384615385 7.105427357601e-15 0
+0 0 2 0 0 24 60 24 0 7.105427357601e-15 380.769230769231 7.105427357601e-15 0
+0 0 2 0 0 24 62 24 0 7.105427357601e-15 401.923076923077 7.105427357601e-15 0
+0 0 2 0 0 24 64 24 0 7.105427357601e-15 423.076923076923 7.105427357601e-15 0
+0 0 2 0 0 24 66 24 0 7.105427357601e-15 444.230769230769 7.105427357601e-15 0
+0 0 2 0 0 24 68 24 0 7.105427357601e-15 465.384615384615 7.105427357601e-15 0
+0 0 2 0 0 24 70 24 0 7.105427357601e-15 486.538461538462 7.105427357601e-15 0
+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+0 0 2 0 0 24 74 24 0 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 0
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 6.95361834514623e-23
+4 0 1 0 0 24 16 24 15.8653846153846 0 -84.6153846153846 0 6.14056320402761e-22
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 8.45911944855557e-50
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 1.69186830707239e-49
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 24 72 24 63.4615384615385 7.105427357601e-15 507.692307692308 7.105427357601e-15 -7.72186965704025e-19
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+16 0 2 0 0 24 76 24 63.4615384615385 7.105427357601e-15 550 7.105427357601e-15 -3.2641116629359e-20
+16 0 2 0 0 24 78 24 63.4615384615385 7.105427357601e-15 571.153846153846 7.105427357601e-15 2.67550796387375e-20
+16 0 2 0 0 24 80 24 63.4615384615385 7.105427357601e-15 592.307692307692 7.105427357601e-15 -3.50737753247059e-22
+16 0 2 0 0 24 82 24 63.4615384615385 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.7277152205331e-21
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
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+28 0 3 0 0 24 48 24 111.057692307692 7.105427357601e-15 253.846153846154 7.105427357601e-15 -2.20050840536917e-21
+28 0 3 0 0 24 49 24 111.057692307692 7.105427357601e-15 264.423076923077 7.105427357601e-15 -7.70149371374469e-21
+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 -2.02862903958204e-20
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 -5.30243823574421e-20
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 -8.08459612896488e-20
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 -1.04525182016512e-19
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/velx.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/velx.z.asc
new file mode 100644
index 000000000..cfb679b9c
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/velx.z.asc
@@ -0,0 +1,864 @@
+# WHISKY::velx z (velx)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 0
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 0
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 0 0 0 24 24 48 0 0 0 253.846153846154 0
+0 0 0 0 0 24 24 56 0 0 0 338.461538461539 0
+0 0 0 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 0 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 0 0 0 24 24 80 0 0 0 592.307692307692 0
+0 0 0 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 0 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 0 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 0 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 0 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 0 0 0 24 24 128 0 0 0 1100 0
+0 0 0 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 0
+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 0
+0 0 0 0 0 24 24 160 0 0 0 1438.46153846154 0
+0 0 0 0 0 24 24 168 0 0 0 1523.07692307692 0
+0 0 0 0 0 24 24 176 0 0 0 1607.69230769231 0
+0 0 0 0 0 24 24 184 0 0 0 1692.30769230769 0
+0 0 0 0 0 24 24 192 0 0 0 1776.92307692308 0
+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 0
+0 0 0 0 0 24 24 208 0 0 0 1946.15384615385 0
+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 0
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 0
+0 0 0 0 0 24 24 232 0 0 0 2200 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 0
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 24 24 28 0 0 0 42.3076923076923 0
+0 0 1 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 1 0 0 24 24 36 0 0 0 126.923076923077 0
+0 0 1 0 0 24 24 40 0 0 0 169.230769230769 0
+0 0 1 0 0 24 24 44 0 0 0 211.538461538462 0
+0 0 1 0 0 24 24 48 0 0 0 253.846153846154 0
+0 0 1 0 0 24 24 52 0 0 0 296.153846153846 0
+0 0 1 0 0 24 24 56 0 0 0 338.461538461538 0
+0 0 1 0 0 24 24 60 0 0 0 380.769230769231 0
+0 0 1 0 0 24 24 64 0 0 0 423.076923076923 0
+0 0 1 0 0 24 24 68 0 0 0 465.384615384615 0
+0 0 1 0 0 24 24 72 0 0 0 507.692307692308 0
+0 0 1 0 0 24 24 76 0 0 0 550 0
+0 0 1 0 0 24 24 80 0 0 0 592.307692307692 0
+0 0 1 0 0 24 24 84 0 0 0 634.615384615385 0
+0 0 1 0 0 24 24 88 0 0 0 676.923076923077 0
+0 0 1 0 0 24 24 92 0 0 0 719.230769230769 0
+0 0 1 0 0 24 24 96 0 0 0 761.538461538462 0
+0 0 1 0 0 24 24 100 0 0 0 803.846153846154 0
+0 0 1 0 0 24 24 104 0 0 0 846.153846153846 0
+0 0 1 0 0 24 24 108 0 0 0 888.461538461538 0
+0 0 1 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 1 0 0 24 24 116 0 0 0 973.076923076923 0
+0 0 1 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 1 0 0 24 24 124 0 0 0 1057.69230769231 0
+0 0 1 0 0 24 24 128 0 0 0 1100 0
+0 0 1 0 0 24 24 132 0 0 0 1142.30769230769 0
+0 0 1 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 1 0 0 24 24 140 0 0 0 1226.92307692308 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 0
+0 0 2 0 0 24 24 20 0 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 0
+0 0 2 0 0 24 24 22 0 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 0
+0 0 2 0 0 24 24 24 0 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 0
+0 0 2 0 0 24 24 26 0 7.105427357601e-15 7.105427357601e-15 21.1538461538462 0
+0 0 2 0 0 24 24 28 0 7.105427357601e-15 7.105427357601e-15 42.3076923076923 0
+0 0 2 0 0 24 24 30 0 7.105427357601e-15 7.105427357601e-15 63.4615384615385 0
+0 0 2 0 0 24 24 32 0 7.105427357601e-15 7.105427357601e-15 84.6153846153846 0
+0 0 2 0 0 24 24 34 0 7.105427357601e-15 7.105427357601e-15 105.769230769231 0
+0 0 2 0 0 24 24 36 0 7.105427357601e-15 7.105427357601e-15 126.923076923077 0
+0 0 2 0 0 24 24 38 0 7.105427357601e-15 7.105427357601e-15 148.076923076923 0
+0 0 2 0 0 24 24 40 0 7.105427357601e-15 7.105427357601e-15 169.230769230769 0
+0 0 2 0 0 24 24 42 0 7.105427357601e-15 7.105427357601e-15 190.384615384615 0
+0 0 2 0 0 24 24 44 0 7.105427357601e-15 7.105427357601e-15 211.538461538462 0
+0 0 2 0 0 24 24 46 0 7.105427357601e-15 7.105427357601e-15 232.692307692308 0
+0 0 2 0 0 24 24 48 0 7.105427357601e-15 7.105427357601e-15 253.846153846154 0
+0 0 2 0 0 24 24 50 0 7.105427357601e-15 7.105427357601e-15 275 0
+0 0 2 0 0 24 24 52 0 7.105427357601e-15 7.105427357601e-15 296.153846153846 0
+0 0 2 0 0 24 24 54 0 7.105427357601e-15 7.105427357601e-15 317.307692307692 0
+0 0 2 0 0 24 24 56 0 7.105427357601e-15 7.105427357601e-15 338.461538461538 0
+0 0 2 0 0 24 24 58 0 7.105427357601e-15 7.105427357601e-15 359.615384615385 0
+0 0 2 0 0 24 24 60 0 7.105427357601e-15 7.105427357601e-15 380.769230769231 0
+0 0 2 0 0 24 24 62 0 7.105427357601e-15 7.105427357601e-15 401.923076923077 0
+0 0 2 0 0 24 24 64 0 7.105427357601e-15 7.105427357601e-15 423.076923076923 0
+0 0 2 0 0 24 24 66 0 7.105427357601e-15 7.105427357601e-15 444.230769230769 0
+0 0 2 0 0 24 24 68 0 7.105427357601e-15 7.105427357601e-15 465.384615384615 0
+0 0 2 0 0 24 24 70 0 7.105427357601e-15 7.105427357601e-15 486.538461538462 0
+0 0 2 0 0 24 24 72 0 7.105427357601e-15 7.105427357601e-15 507.692307692308 0
+0 0 2 0 0 24 24 74 0 7.105427357601e-15 7.105427357601e-15 528.846153846154 0
+0 0 2 0 0 24 24 76 0 7.105427357601e-15 7.105427357601e-15 550 0
+0 0 2 0 0 24 24 78 0 7.105427357601e-15 7.105427357601e-15 571.153846153846 0
+0 0 2 0 0 24 24 80 0 7.105427357601e-15 7.105427357601e-15 592.307692307692 0
+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 8.69907237235483e-23
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 6.06756134906395e-23
+4 0 1 0 0 24 24 20 15.8653846153846 0 0 -42.3076923076923 -1.54095225443008e-21
+4 0 1 0 0 24 24 24 15.8653846153846 0 0 0 -3.16399321901955e-21
+4 0 1 0 0 24 24 28 15.8653846153846 0 0 42.3076923076923 -1.54095225443008e-21
+4 0 1 0 0 24 24 32 15.8653846153846 0 0 84.6153846153846 6.06756134906395e-23
+4 0 1 0 0 24 24 36 15.8653846153846 0 0 126.923076923077 8.69907237235483e-23
+4 0 1 0 0 24 24 40 15.8653846153846 0 0 169.230769230769 -6.53619695807662e-23
+4 0 1 0 0 24 24 44 15.8653846153846 0 0 211.538461538462 1.80613322723642e-24
+4 0 1 0 0 24 24 48 15.8653846153846 0 0 253.846153846154 -6.63305359477438e-23
+4 0 1 0 0 24 24 52 15.8653846153846 0 0 296.153846153846 4.77355893444165e-23
+4 0 1 0 0 24 24 56 15.8653846153846 0 0 338.461538461538 -1.11491163448257e-23
+4 0 1 0 0 24 24 60 15.8653846153846 0 0 380.769230769231 6.00804435231382e-22
+4 0 1 0 0 24 24 64 15.8653846153846 0 0 423.076923076923 2.62778258309806e-17
+4 0 1 0 0 24 24 68 15.8653846153846 0 0 465.384615384615 -4.25176498026602e-25
+4 0 1 0 0 24 24 72 15.8653846153846 0 0 507.692307692308 -4.28353411045062e-24
+4 0 1 0 0 24 24 76 15.8653846153846 0 0 550 1.83766444620354e-23
+4 0 1 0 0 24 24 80 15.8653846153846 0 0 592.307692307692 -4.91339408771006e-24
+4 0 1 0 0 24 24 84 15.8653846153846 0 0 634.615384615385 0
+4 0 1 0 0 24 24 88 15.8653846153846 0 0 676.923076923077 0
+4 0 1 0 0 24 24 92 15.8653846153846 0 0 719.230769230769 0
+4 0 1 0 0 24 24 96 15.8653846153846 0 0 761.538461538462 0
+4 0 1 0 0 24 24 100 15.8653846153846 0 0 803.846153846154 1.26666783091974e-22
+4 0 1 0 0 24 24 104 15.8653846153846 0 0 846.153846153846 -2.90727134848442e-21
+4 0 1 0 0 24 24 108 15.8653846153846 0 0 888.461538461538 -5.41358663333461e-16
+4 0 1 0 0 24 24 112 15.8653846153846 0 0 930.769230769231 1.84179245375461e-25
+4 0 1 0 0 24 24 116 15.8653846153846 0 0 973.076923076923 9.12064100115921e-21
+4 0 1 0 0 24 24 120 15.8653846153846 0 0 1015.38461538462 0
+4 0 1 0 0 24 24 124 15.8653846153846 0 0 1057.69230769231 0
+4 0 1 0 0 24 24 128 15.8653846153846 0 0 1100 0
+4 0 1 0 0 24 24 132 15.8653846153846 0 0 1142.30769230769 0
+4 0 1 0 0 24 24 136 15.8653846153846 0 0 1184.61538461538 0
+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 -2.61314658582436e-26
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 24 18 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 -1.12531342089744e-22
+4 0 2 0 0 24 24 20 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 -1.54095225443008e-21
+4 0 2 0 0 24 24 22 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 5.20043876744396e-21
+4 0 2 0 0 24 24 24 15.8653846153846 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 -3.16399321901955e-21
+4 0 2 0 0 24 24 26 15.8653846153846 7.105427357601e-15 7.105427357601e-15 21.1538461538462 5.20043876744396e-21
+4 0 2 0 0 24 24 28 15.8653846153846 7.105427357601e-15 7.105427357601e-15 42.3076923076923 -1.54095225443008e-21
+4 0 2 0 0 24 24 30 15.8653846153846 7.105427357601e-15 7.105427357601e-15 63.4615384615385 -1.12531342089744e-22
+4 0 2 0 0 24 24 32 15.8653846153846 7.105427357601e-15 7.105427357601e-15 84.6153846153846 6.06756134906395e-23
+4 0 2 0 0 24 24 34 15.8653846153846 7.105427357601e-15 7.105427357601e-15 105.769230769231 4.6275343126849e-24
+4 0 2 0 0 24 24 36 15.8653846153846 7.105427357601e-15 7.105427357601e-15 126.923076923077 8.69907237235483e-23
+4 0 2 0 0 24 24 38 15.8653846153846 7.105427357601e-15 7.105427357601e-15 148.076923076923 -1.10873295205391e-23
+4 0 2 0 0 24 24 40 15.8653846153846 7.105427357601e-15 7.105427357601e-15 169.230769230769 -6.53619695807662e-23
+4 0 2 0 0 24 24 42 15.8653846153846 7.105427357601e-15 7.105427357601e-15 190.384615384615 3.91687807262847e-23
+4 0 2 0 0 24 24 44 15.8653846153846 7.105427357601e-15 7.105427357601e-15 211.538461538462 1.80613322723642e-24
+4 0 2 0 0 24 24 46 15.8653846153846 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.44088535076277e-23
+4 0 2 0 0 24 24 48 15.8653846153846 7.105427357601e-15 7.105427357601e-15 253.846153846154 -6.63305359477438e-23
+4 0 2 0 0 24 24 50 15.8653846153846 7.105427357601e-15 7.105427357601e-15 275 7.61599774297368e-23
+4 0 2 0 0 24 24 52 15.8653846153846 7.105427357601e-15 7.105427357601e-15 296.153846153846 4.77355893444165e-23
+4 0 2 0 0 24 24 54 15.8653846153846 7.105427357601e-15 7.105427357601e-15 317.307692307692 1.74268647024692e-23
+4 0 2 0 0 24 24 56 15.8653846153846 7.105427357601e-15 7.105427357601e-15 338.461538461538 -1.11491163448257e-23
+4 0 2 0 0 24 24 58 15.8653846153846 7.105427357601e-15 7.105427357601e-15 359.615384615385 5.25014068934422e-23
+4 0 2 0 0 24 24 60 15.8653846153846 7.105427357601e-15 7.105427357601e-15 380.769230769231 6.00804435231382e-22
+4 0 2 0 0 24 24 62 15.8653846153846 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.82713756670888e-20
+4 0 2 0 0 24 24 64 15.8653846153846 7.105427357601e-15 7.105427357601e-15 423.076923076923 2.62778258309806e-17
+4 0 2 0 0 24 24 66 15.8653846153846 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.4506663852441e-17
+4 0 2 0 0 24 24 68 15.8653846153846 7.105427357601e-15 7.105427357601e-15 465.384615384615 -4.25176498026602e-25
+4 0 2 0 0 24 24 70 15.8653846153846 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.09031033441848e-19
+4 0 2 0 0 24 24 72 15.8653846153846 7.105427357601e-15 7.105427357601e-15 507.692307692308 -4.28353411045062e-24
+4 0 2 0 0 24 24 74 15.8653846153846 7.105427357601e-15 7.105427357601e-15 528.846153846154 5.91640929945546e-24
+4 0 2 0 0 24 24 76 15.8653846153846 7.105427357601e-15 7.105427357601e-15 550 1.83766444620354e-23
+4 0 2 0 0 24 24 78 15.8653846153846 7.105427357601e-15 7.105427357601e-15 571.153846153846 7.9297686985531e-24
+4 0 2 0 0 24 24 80 15.8653846153846 7.105427357601e-15 7.105427357601e-15 592.307692307692 -4.91339408771006e-24
+4 0 2 0 0 24 24 82 15.8653846153846 7.105427357601e-15 7.105427357601e-15 613.461538461538 -2.71599842544315e-24
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 24 0 31.7307692307692 0 0 -253.846153846154 -1.39561294486396e-22
+8 0 0 0 0 24 24 8 31.7307692307692 0 0 -169.230769230769 -2.75614786471718e-22
+8 0 0 0 0 24 24 16 31.7307692307692 0 0 -84.6153846153846 1.775334464258e-22
+8 0 0 0 0 24 24 24 31.7307692307692 0 0 0 -2.61119403367997e-21
+8 0 0 0 0 24 24 32 31.7307692307692 0 0 84.6153846153846 1.775334464258e-22
+8 0 0 0 0 24 24 40 31.7307692307692 0 0 169.230769230769 -2.75614786471718e-22
+8 0 0 0 0 24 24 48 31.7307692307692 0 0 253.846153846154 -1.39561294486396e-22
+8 0 0 0 0 24 24 56 31.7307692307692 0 0 338.461538461539 -1.94241668482824e-22
+8 0 0 0 0 24 24 64 31.7307692307692 0 0 423.076923076923 1.64619445080741e-17
+8 0 0 0 0 24 24 72 31.7307692307692 0 0 507.692307692308 -3.02397659226248e-22
+8 0 0 0 0 24 24 80 31.7307692307692 0 0 592.307692307692 -4.65112846608633e-24
+8 0 0 0 0 24 24 88 31.7307692307692 0 0 676.923076923077 -8.71460597007287e-29
+8 0 0 0 0 24 24 96 31.7307692307692 0 0 761.538461538462 -4.75039344781455e-25
+8 0 0 0 0 24 24 104 31.7307692307692 0 0 846.153846153846 -7.67904948024913e-19
+8 0 0 0 0 24 24 112 31.7307692307692 0 0 930.769230769231 3.6837297986526e-25
+8 0 0 0 0 24 24 120 31.7307692307692 0 0 1015.38461538462 0
+8 0 0 0 0 24 24 128 31.7307692307692 0 0 1100 0
+8 0 0 0 0 24 24 136 31.7307692307692 0 0 1184.61538461538 0
+8 0 0 0 0 24 24 144 31.7307692307692 0 0 1269.23076923077 -1.42647323909595e-25
+8 0 0 0 0 24 24 152 31.7307692307692 0 0 1353.84615384615 0
+8 0 0 0 0 24 24 160 31.7307692307692 0 0 1438.46153846154 0
+8 0 0 0 0 24 24 168 31.7307692307692 0 0 1523.07692307692 -2.06101743400294e-26
+8 0 0 0 0 24 24 176 31.7307692307692 0 0 1607.69230769231 1.13370571193726e-25
+8 0 0 0 0 24 24 184 31.7307692307692 0 0 1692.30769230769 -3.78992416810678e-26
+8 0 0 0 0 24 24 192 31.7307692307692 0 0 1776.92307692308 0
+8 0 0 0 0 24 24 200 31.7307692307692 0 0 1861.53846153846 0
+8 0 0 0 0 24 24 208 31.7307692307692 0 0 1946.15384615385 0
+8 0 0 0 0 24 24 216 31.7307692307692 0 0 2030.76923076923 0
+8 0 0 0 0 24 24 224 31.7307692307692 0 0 2115.38461538462 0
+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 0
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 24 12 31.7307692307692 0 0 -126.923076923077 1.27008804566523e-22
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 24 70 31.7307692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 2.48062932875137e-19
+8 0 2 0 0 24 24 72 31.7307692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 -3.02397659226248e-22
+8 0 2 0 0 24 24 74 31.7307692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 3.93126960564105e-20
+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 1.79218516997491e-23
+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 7.77099102361668e-24
+8 0 2 0 0 24 24 80 31.7307692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 -4.65112846608633e-24
+8 0 2 0 0 24 24 82 31.7307692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 -2.59397372025552e-24
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 24 12 47.5961538461538 0 0 -126.923076923077 1.98429499416835e-22
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+12 0 1 0 0 24 24 104 47.5961538461538 0 0 846.153846153846 3.10790308006535e-18
+12 0 1 0 0 24 24 108 47.5961538461538 0 0 888.461538461538 2.4562376918725e-19
+12 0 1 0 0 24 24 112 47.5961538461538 0 0 930.769230769231 8.57445304070279e-20
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+12 0 1 0 0 24 24 120 47.5961538461538 0 0 1015.38461538462 2.5107435157697e-23
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+12 0 1 0 0 24 24 128 47.5961538461538 0 0 1100 -3.73014616230833e-26
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+12 0 1 0 0 24 24 136 47.5961538461538 0 0 1184.61538461538 -6.52637381160073e-28
+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 -5.82556561416152e-26
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 24 18 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 -2.01487854217491e-22
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+12 0 2 0 0 24 24 66 47.5961538461538 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.24661866038e-17
+12 0 2 0 0 24 24 68 47.5961538461538 7.105427357601e-15 7.105427357601e-15 465.384615384615 -2.32569621273028e-18
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+12 0 2 0 0 24 24 72 47.5961538461538 7.105427357601e-15 7.105427357601e-15 507.692307692308 -1.539495395846e-19
+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 8.31215718207192e-20
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 -8.52385077283294e-22
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 8.12510675806856e-21
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 -4.33040882047911e-24
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 4.59502190910055e-23
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 24 160 63.4615384615385 0 0 1438.46153846154 -4.45509442498764e-29
+16 0 0 0 0 24 24 168 63.4615384615385 0 0 1523.07692307692 -1.99837283279043e-26
+16 0 0 0 0 24 24 176 63.4615384615385 0 0 1607.69230769231 1.11443159914116e-25
+16 0 0 0 0 24 24 184 63.4615384615385 0 0 1692.30769230769 -3.68938562297286e-26
+16 0 0 0 0 24 24 192 63.4615384615385 0 0 1776.92307692308 -1.7001783388896e-28
+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 -9.5696013850161e-32
+16 0 0 0 0 24 24 208 63.4615384615385 0 0 1946.15384615385 -1.64803668629729e-35
+16 0 0 0 0 24 24 216 63.4615384615385 0 0 2030.76923076923 0
+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 0
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 1.2148032927828e-22
+16 0 1 0 0 24 24 16 63.4615384615385 0 0 -84.6153846153846 1.53678505700886e-22
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+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 -5.08184463915585e-26
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 -5.08338079326505e-24
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 24 112 111.057692307692 0 0 930.769230769231 1.04115548002439e-18
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+28 0 1 0 0 24 24 128 111.057692307692 0 0 1100 3.96028171271913e-21
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+28 0 1 0 0 24 24 136 111.057692307692 0 0 1184.61538461538 3.95462648983023e-23
+28 0 1 0 0 24 24 140 111.057692307692 0 0 1226.92307692308 -1.84901591120678e-22
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 24 66 111.057692307692 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.315561815453e-17
+28 0 2 0 0 24 24 68 111.057692307692 7.105427357601e-15 7.105427357601e-15 465.384615384615 6.81407503188926e-18
+28 0 2 0 0 24 24 70 111.057692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 4.07228042565537e-18
+28 0 2 0 0 24 24 72 111.057692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 -4.57565181011351e-19
+28 0 2 0 0 24 24 74 111.057692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 -1.0374524829652e-18
+28 0 2 0 0 24 24 76 111.057692307692 7.105427357601e-15 7.105427357601e-15 550 -7.89259753401778e-19
+28 0 2 0 0 24 24 78 111.057692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 -5.14427933451798e-19
+28 0 2 0 0 24 24 80 111.057692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 -1.87802247679525e-19
+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 -6.34076972995615e-20
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 24 22 111.057692307692 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 -1.06096917263202e-20
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+28 0 3 0 0 24 24 37 111.057692307692 7.105427357601e-15 7.105427357601e-15 137.5 1.78743798126029e-21
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+28 0 3 0 0 24 24 40 111.057692307692 7.105427357601e-15 7.105427357601e-15 169.230769230769 6.47362743833928e-20
+28 0 3 0 0 24 24 41 111.057692307692 7.105427357601e-15 7.105427357601e-15 179.807692307692 1.01235865534783e-20
+28 0 3 0 0 24 24 42 111.057692307692 7.105427357601e-15 7.105427357601e-15 190.384615384615 -1.93520700971647e-21
+28 0 3 0 0 24 24 43 111.057692307692 7.105427357601e-15 7.105427357601e-15 200.961538461539 3.11516270990758e-21
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+28 0 3 0 0 24 24 49 111.057692307692 7.105427357601e-15 7.105427357601e-15 264.423076923077 -7.03244835516072e-21
+28 0 3 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 -1.84949684239804e-20
+28 0 3 0 0 24 24 51 111.057692307692 7.105427357601e-15 7.105427357601e-15 285.576923076923 -5.09990803345484e-20
+28 0 3 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 -7.91175624601359e-20
+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 -7.24082220691512e-20
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/velx_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/velx_maximum.xg
new file mode 100644
index 000000000..da735fe76
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/velx_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::velx
+"velx v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 7.8952603935727e-07
+1.5865384615385e+01 2.9671867220737e-06
+2.3798076923077e+01 2.3989003364816e-06
+3.1730769230769e+01 1.0200501636959e-05
+3.9663461538462e+01 3.9838075896802e-06
+4.7596153846154e+01 8.9105069037925e-06
+5.5528846153846e+01 5.5808581546144e-06
+6.3461538461538e+01 2.0404960228001e-05
+7.1394230769231e+01 7.1756077320003e-06
+7.5360576923077e+01 3.0207084744712e-06
+7.9326923076923e+01 1.5011692456755e-05
+8.3293269230769e+01 3.3076161286204e-06
+8.7259615384615e+01 8.9103712519581e-06
+9.1225961538462e+01 3.6165112820248e-06
+9.5192307692308e+01 3.0626559056597e-05
+9.9158653846154e+01 3.9525694727440e-06
+1.0312500000000e+02 1.0661345937665e-05
+1.0709134615385e+02 4.3153236080324e-06
+1.1105769230769e+02 2.1525675625058e-05
+1.1502403846154e+02 4.7021781510677e-06
+1.1899038461538e+02 1.2399325172725e-05
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/velx_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/velx_minimum.xg
new file mode 100644
index 000000000..e842f9455
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/velx_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::velx
+"velx v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 -4.1730005570938e-06
+1.5865384615385e+01 -9.6804422792503e-06
+2.3798076923077e+01 -1.2425163619134e-05
+3.1730769230769e+01 -3.5343330838882e-05
+3.9663461538462e+01 -2.0548459888479e-05
+4.7596153846154e+01 -2.8974119014097e-05
+5.5528846153846e+01 -2.8516265468757e-05
+6.3461538461538e+01 -7.0651639833127e-05
+7.1394230769231e+01 -3.6368519729778e-05
+7.5360576923077e+01 -2.5230754640132e-05
+7.9326923076923e+01 -4.8169644741808e-05
+8.3293269230769e+01 -2.7890213940704e-05
+8.7259615384615e+01 -4.4117574379059e-05
+9.1225961538462e+01 -3.0550801914239e-05
+9.5192307692308e+01 -1.0592578494411e-04
+9.9158653846154e+01 -3.3212947543981e-05
+1.0312500000000e+02 -5.1766615486778e-05
+1.0709134615385e+02 -3.5876629451574e-05
+1.1105769230769e+02 -6.7268050621532e-05
+1.1502403846154e+02 -3.8541004543213e-05
+1.1899038461538e+02 -5.9322627858334e-05
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/velx_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/velx_norm1.xg
new file mode 100644
index 000000000..167ee9ca4
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/velx_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::velx
+"velx v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 1.2874695780998e-06
+1.5865384615385e+01 1.5973280306631e-06
+2.3798076923077e+01 3.8880126740309e-06
+3.1730769230769e+01 5.6276888687580e-06
+3.9663461538462e+01 6.4898884352488e-06
+4.7596153846154e+01 4.8653344267404e-06
+5.5528846153846e+01 9.0931034160066e-06
+6.3461538461538e+01 1.1252439929117e-05
+7.1394230769231e+01 1.1697812272119e-05
+7.5360576923077e+01 1.1134081630175e-05
+7.9326923076923e+01 8.1347511099745e-06
+8.3293269230769e+01 1.2339045989645e-05
+8.7259615384615e+01 1.4326883359376e-05
+9.1225961538462e+01 1.3545776598404e-05
+9.5192307692308e+01 1.6875610881571e-05
+9.9158653846154e+01 1.4754212608675e-05
+1.0312500000000e+02 1.6954822787589e-05
+1.0709134615385e+02 1.5962650649119e-05
+1.1105769230769e+02 1.1411074451101e-05
+1.1502403846154e+02 1.7170092294033e-05
+1.1899038461538e+02 1.9581309321751e-05
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/velx_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/velx_norm2.xg
new file mode 100644
index 000000000..81859d087
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/velx_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::velx
+"velx v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 1.5393689934139e-06
+1.5865384615385e+01 2.1223879618235e-06
+2.3798076923077e+01 4.6536714312256e-06
+3.1730769230769e+01 9.6490708921547e-06
+3.9663461538462e+01 7.7682700518638e-06
+4.7596153846154e+01 6.4620973529550e-06
+5.5528846153846e+01 1.0882179922980e-05
+6.3461538461538e+01 1.9292829565170e-05
+7.1394230769231e+01 1.3995487329909e-05
+7.5360576923077e+01 1.3401610584370e-05
+7.9326923076923e+01 1.0803933068824e-05
+8.3293269230769e+01 1.4842026778829e-05
+8.7259615384615e+01 1.7123127456337e-05
+9.1225961538462e+01 1.6282479338440e-05
+9.5192307692308e+01 2.8932106594000e-05
+9.9158653846154e+01 1.7722729289316e-05
+1.0312500000000e+02 2.0249860807129e-05
+1.0709134615385e+02 1.9162206245911e-05
+1.1105769230769e+02 1.5148067704595e-05
+1.1502403846154e+02 2.0600491473637e-05
+1.1899038461538e+02 2.3374852161600e-05
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/vely.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/vely.x.asc
new file mode 100644
index 000000000..f8938a39a
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/vely.x.asc
@@ -0,0 +1,864 @@
+# WHISKY::vely x (vely)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 0
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 0
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 0
+0 0 0 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 0 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 0 0 0 96 24 24 0 761.538461538462 0 0 0
+0 0 0 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 0 0 0 120 24 24 0 1015.38461538462 0 0 0
+0 0 0 0 0 128 24 24 0 1100 0 0 0
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 0
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 0
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 0
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 0
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 0
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 0
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 0
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+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 0
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+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+0 0 2 0 0 82 24 24 0 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 1 0 0 140 24 24 15.8653846153846 1226.92307692308 0 0 0
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 2 0 0 76 24 24 15.8653846153846 550 7.105427357601e-15 7.105427357601e-15 -1.41789869705248e-42
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+4 0 2 0 0 82 24 24 15.8653846153846 613.461538461538 7.105427357601e-15 7.105427357601e-15 0
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 0 0 0 224 24 24 31.7307692307692 2115.38461538462 0 0 0
+8 0 0 0 0 232 24 24 31.7307692307692 2200 0 0 0
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 12 24 24 31.7307692307692 -126.923076923077 0 0 8.33922561147911e-23
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+8 0 1 0 0 104 24 24 31.7307692307692 846.153846153846 0 0 -8.16221338487591e-19
+8 0 1 0 0 108 24 24 31.7307692307692 888.461538461538 0 0 -8.31267138155716e-19
+8 0 1 0 0 112 24 24 31.7307692307692 930.769230769231 0 0 5.53822862975522e-42
+8 0 1 0 0 116 24 24 31.7307692307692 973.076923076923 0 0 -4.68118560911356e-20
+8 0 1 0 0 120 24 24 31.7307692307692 1015.38461538462 0 0 0
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+8 0 1 0 0 128 24 24 31.7307692307692 1100 0 0 0
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+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 0
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 76 24 24 31.7307692307692 550 7.105427357601e-15 7.105427357601e-15 6.16932299481407e-25
+8 0 2 0 0 78 24 24 31.7307692307692 571.153846153846 7.105427357601e-15 7.105427357601e-15 3.85399440539784e-25
+8 0 2 0 0 80 24 24 31.7307692307692 592.307692307692 7.105427357601e-15 7.105427357601e-15 2.91522013640656e-31
+8 0 2 0 0 82 24 24 31.7307692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.61145700548205e-31
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 12 24 24 47.5961538461538 -126.923076923077 0 0 2.95092172963893e-23
+12 0 1 0 0 16 24 24 47.5961538461538 -84.6153846153846 0 0 5.20792024352935e-22
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+12 0 1 0 0 36 24 24 47.5961538461538 126.923076923077 0 0 2.95092172963893e-23
+12 0 1 0 0 40 24 24 47.5961538461538 169.230769230769 0 0 -1.95350317417945e-22
+12 0 1 0 0 44 24 24 47.5961538461538 211.538461538462 0 0 2.42759621978962e-22
+12 0 1 0 0 48 24 24 47.5961538461538 253.846153846154 0 0 2.2531258734781e-22
+12 0 1 0 0 52 24 24 47.5961538461538 296.153846153846 0 0 -2.2570087300764e-22
+12 0 1 0 0 56 24 24 47.5961538461538 338.461538461538 0 0 -5.6358891505759e-21
+12 0 1 0 0 60 24 24 47.5961538461538 380.769230769231 0 0 -1.28849327456389e-18
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+12 0 1 0 0 88 24 24 47.5961538461538 676.923076923077 0 0 3.8142385828298e-30
+12 0 1 0 0 92 24 24 47.5961538461538 719.230769230769 0 0 5.07622914529519e-26
+12 0 1 0 0 96 24 24 47.5961538461538 761.538461538462 0 0 3.55327632476833e-21
+12 0 1 0 0 100 24 24 47.5961538461538 803.846153846154 0 0 2.26790362192565e-19
+12 0 1 0 0 104 24 24 47.5961538461538 846.153846153846 0 0 3.06060629857737e-18
+12 0 1 0 0 108 24 24 47.5961538461538 888.461538461538 0 0 2.00257086547264e-19
+12 0 1 0 0 112 24 24 47.5961538461538 930.769230769231 0 0 8.55879758631054e-20
+12 0 1 0 0 116 24 24 47.5961538461538 973.076923076923 0 0 -8.81490656249533e-20
+12 0 1 0 0 120 24 24 47.5961538461538 1015.38461538462 0 0 2.49901315664299e-23
+12 0 1 0 0 124 24 24 47.5961538461538 1057.69230769231 0 0 -4.26594754087732e-21
+12 0 1 0 0 128 24 24 47.5961538461538 1100 0 0 -3.87511360719613e-26
+12 0 1 0 0 132 24 24 47.5961538461538 1142.30769230769 0 0 -2.43110672736736e-26
+12 0 1 0 0 136 24 24 47.5961538461538 1184.61538461538 0 0 1.33486863243047e-49
+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 8.45911944855559e-50
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 18 24 24 47.5961538461538 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -1.91625916711423e-21
+12 0 2 0 0 20 24 24 47.5961538461538 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 -7.02524279572033e-22
+12 0 2 0 0 22 24 24 47.5961538461538 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 3.63958594456695e-21
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+12 0 2 0 0 28 24 24 47.5961538461538 42.3076923076923 7.105427357601e-15 7.105427357601e-15 -7.02524279572033e-22
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+12 0 2 0 0 36 24 24 47.5961538461538 126.923076923077 7.105427357601e-15 7.105427357601e-15 2.95092172963893e-23
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+12 0 2 0 0 64 24 24 47.5961538461538 423.076923076923 7.105427357601e-15 7.105427357601e-15 2.54959089149638e-17
+12 0 2 0 0 66 24 24 47.5961538461538 444.230769230769 7.105427357601e-15 7.105427357601e-15 1.23616890873941e-17
+12 0 2 0 0 68 24 24 47.5961538461538 465.384615384615 7.105427357601e-15 7.105427357601e-15 -2.45064315568308e-18
+12 0 2 0 0 70 24 24 47.5961538461538 486.538461538462 7.105427357601e-15 7.105427357601e-15 -1.37952997821684e-18
+12 0 2 0 0 72 24 24 47.5961538461538 507.692307692308 7.105427357601e-15 7.105427357601e-15 -1.53219832307665e-19
+12 0 2 0 0 74 24 24 47.5961538461538 528.846153846154 7.105427357601e-15 7.105427357601e-15 8.35024010019282e-20
+12 0 2 0 0 76 24 24 47.5961538461538 550 7.105427357601e-15 7.105427357601e-15 -8.68958991502298e-22
+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 8.11806819568141e-21
+12 0 2 0 0 80 24 24 47.5961538461538 592.307692307692 7.105427357601e-15 7.105427357601e-15 -9.83073171640544e-27
+12 0 2 0 0 82 24 24 47.5961538461538 613.461538461538 7.105427357601e-15 7.105427357601e-15 4.84002934158491e-23
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 0 24 24 63.4615384615385 -253.846153846154 0 0 1.49011426212034e-22
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+16 0 0 0 0 48 24 24 63.4615384615385 253.846153846154 0 0 1.49011426212034e-22
+16 0 0 0 0 56 24 24 63.4615384615385 338.461538461539 0 0 -9.82826555367525e-20
+16 0 0 0 0 64 24 24 63.4615384615385 423.076923076923 0 0 4.07729570514943e-17
+16 0 0 0 0 72 24 24 63.4615384615385 507.692307692308 0 0 -7.71535086668776e-19
+16 0 0 0 0 80 24 24 63.4615384615385 592.307692307692 0 0 -3.5074698792259e-22
+16 0 0 0 0 88 24 24 63.4615384615385 676.923076923077 0 0 1.51859961585632e-25
+16 0 0 0 0 96 24 24 63.4615384615385 761.538461538462 0 0 6.03201989113968e-20
+16 0 0 0 0 104 24 24 63.4615384615385 846.153846153846 0 0 4.56746710714841e-18
+16 0 0 0 0 112 24 24 63.4615384615385 930.769230769231 0 0 2.96865097566609e-19
+16 0 0 0 0 120 24 24 63.4615384615385 1015.38461538462 0 0 4.9982015104134e-23
+16 0 0 0 0 128 24 24 63.4615384615385 1100 0 0 -7.75046391664896e-26
+16 0 0 0 0 136 24 24 63.4615384615385 1184.61538461538 0 0 2.66980993094224e-49
+16 0 0 0 0 144 24 24 63.4615384615385 1269.23076923077 0 0 0
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+16 0 0 0 0 192 24 24 63.4615384615385 1776.92307692308 0 0 0
+16 0 0 0 0 200 24 24 63.4615384615385 1861.53846153846 0 0 0
+16 0 0 0 0 208 24 24 63.4615384615385 1946.15384615385 0 0 0
+16 0 0 0 0 216 24 24 63.4615384615385 2030.76923076923 0 0 0
+16 0 0 0 0 224 24 24 63.4615384615385 2115.38461538462 0 0 0
+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 12 24 24 63.4615384615385 -126.923076923077 0 0 2.77232511687181e-23
+16 0 1 0 0 16 24 24 63.4615384615385 -84.6153846153846 0 0 3.7666791978222e-22
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+16 0 1 0 0 36 24 24 63.4615384615385 126.923076923077 0 0 2.77232511687181e-23
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+16 0 1 0 0 44 24 24 63.4615384615385 211.538461538462 0 0 9.98548120055634e-23
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+16 0 1 0 0 96 24 24 63.4615384615385 761.538461538462 0 0 6.03201989113968e-20
+16 0 1 0 0 100 24 24 63.4615384615385 803.846153846154 0 0 8.18304052169444e-19
+16 0 1 0 0 104 24 24 63.4615384615385 846.153846153846 0 0 4.56746710714841e-18
+16 0 1 0 0 108 24 24 63.4615384615385 888.461538461538 0 0 1.82467732996918e-18
+16 0 1 0 0 112 24 24 63.4615384615385 930.769230769231 0 0 2.96865097566609e-19
+16 0 1 0 0 116 24 24 63.4615384615385 973.076923076923 0 0 -2.409086794135e-20
+16 0 1 0 0 120 24 24 63.4615384615385 1015.38461538462 0 0 4.9982015104134e-23
+16 0 1 0 0 124 24 24 63.4615384615385 1057.69230769231 0 0 -1.5196046013759e-20
+16 0 1 0 0 128 24 24 63.4615384615385 1100 0 0 -7.75046391664896e-26
+16 0 1 0 0 132 24 24 63.4615384615385 1142.30769230769 0 0 -4.8624376983794e-26
+16 0 1 0 0 136 24 24 63.4615384615385 1184.61538461538 0 0 2.66980993094224e-49
+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 1.69186830707239e-49
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 18 24 24 63.4615384615385 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 -1.79063260581346e-21
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 -5.03285852593283e-24
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 49 24 24 111.057692307692 264.423076923077 7.105427357601e-15 7.105427357601e-15 -7.50064451627786e-21
+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 -1.99694474856434e-20
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 -5.3195840743124e-20
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 -8.15418697431774e-20
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 -1.34871523933274e-19
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/vely.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/vely.y.asc
new file mode 100644
index 000000000..7d33e5e50
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/vely.y.asc
@@ -0,0 +1,864 @@
+# WHISKY::vely y (vely)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 0
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 0
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+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 0
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 0
+0 0 0 0 0 24 232 24 0 0 2200 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 0
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 0
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+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 18 24 0 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0
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+0 0 2 0 0 24 36 24 0 7.105427357601e-15 126.923076923077 7.105427357601e-15 0
+0 0 2 0 0 24 38 24 0 7.105427357601e-15 148.076923076923 7.105427357601e-15 0
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+0 0 2 0 0 24 56 24 0 7.105427357601e-15 338.461538461538 7.105427357601e-15 0
+0 0 2 0 0 24 58 24 0 7.105427357601e-15 359.615384615385 7.105427357601e-15 0
+0 0 2 0 0 24 60 24 0 7.105427357601e-15 380.769230769231 7.105427357601e-15 0
+0 0 2 0 0 24 62 24 0 7.105427357601e-15 401.923076923077 7.105427357601e-15 0
+0 0 2 0 0 24 64 24 0 7.105427357601e-15 423.076923076923 7.105427357601e-15 0
+0 0 2 0 0 24 66 24 0 7.105427357601e-15 444.230769230769 7.105427357601e-15 0
+0 0 2 0 0 24 68 24 0 7.105427357601e-15 465.384615384615 7.105427357601e-15 0
+0 0 2 0 0 24 70 24 0 7.105427357601e-15 486.538461538462 7.105427357601e-15 0
+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+0 0 2 0 0 24 74 24 0 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 0
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 2.9671867220737e-06
+4 0 1 0 0 24 16 24 15.8653846153846 0 -84.6153846153846 0 2.05561530137234e-06
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+4 0 1 0 0 24 36 24 15.8653846153846 0 126.923076923077 0 -2.9671867220737e-06
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+4 0 1 0 0 24 80 24 15.8653846153846 0 592.307692307692 0 -5.36740533866797e-06
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+4 0 1 0 0 24 100 24 15.8653846153846 0 803.846153846154 0 -3.75035023725993e-06
+4 0 1 0 0 24 104 24 15.8653846153846 0 846.153846153846 0 -8.32321756182085e-06
+4 0 1 0 0 24 108 24 15.8653846153846 0 888.461538461538 0 -3.75132927547539e-06
+4 0 1 0 0 24 112 24 15.8653846153846 0 930.769230769231 0 -3.50519614618743e-06
+4 0 1 0 0 24 116 24 15.8653846153846 0 973.076923076923 0 -3.35853302418359e-06
+4 0 1 0 0 24 120 24 15.8653846153846 0 1015.38461538462 0 -3.11949814347391e-06
+4 0 1 0 0 24 124 24 15.8653846153846 0 1057.69230769231 0 -2.98300044314909e-06
+4 0 1 0 0 24 128 24 15.8653846153846 0 1100 0 -2.75706542993224e-06
+4 0 1 0 0 24 132 24 15.8653846153846 0 1142.30769230769 0 -2.63656552029362e-06
+4 0 1 0 0 24 136 24 15.8653846153846 0 1184.61538461538 0 -2.43304485614099e-06
+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 -2.32701321345343e-06
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 18 24 15.8653846153846 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.57688395144404e-06
+4 0 2 0 0 24 20 24 15.8653846153846 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 1.08039130354681e-06
+4 0 2 0 0 24 22 24 15.8653846153846 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 1.89810232995334e-07
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+4 0 2 0 0 24 26 24 15.8653846153846 7.105427357601e-15 21.1538461538462 7.105427357601e-15 -1.89810232995334e-07
+4 0 2 0 0 24 28 24 15.8653846153846 7.105427357601e-15 42.3076923076923 7.105427357601e-15 -1.08039130354681e-06
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 -6.98407644065595e-06
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 78 24 47.5961538461538 7.105427357601e-15 571.153846153846 7.105427357601e-15 -1.64107960316845e-05
+12 0 2 0 0 24 80 24 47.5961538461538 7.105427357601e-15 592.307692307692 7.105427357601e-15 -1.61345726140657e-05
+12 0 2 0 0 24 82 24 47.5961538461538 7.105427357601e-15 613.461538461538 7.105427357601e-15 -1.58443177772234e-05
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 -9.31412874616799e-06
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 24 70 24 63.4615384615385 7.105427357601e-15 486.538461538462 7.105427357601e-15 -2.28067405957298e-05
+16 0 2 0 0 24 72 24 63.4615384615385 7.105427357601e-15 507.692307692308 7.105427357601e-15 -2.26704142392273e-05
+16 0 2 0 0 24 74 24 63.4615384615385 7.105427357601e-15 528.846153846154 7.105427357601e-15 -2.24540525721846e-05
+16 0 2 0 0 24 76 24 63.4615384615385 7.105427357601e-15 550 7.105427357601e-15 -2.21875349032907e-05
+16 0 2 0 0 24 78 24 63.4615384615385 7.105427357601e-15 571.153846153846 7.105427357601e-15 -2.18914530926252e-05
+16 0 2 0 0 24 80 24 63.4615384615385 7.105427357601e-15 592.307692307692 7.105427357601e-15 -2.15253132758578e-05
+16 0 2 0 0 24 82 24 63.4615384615385 7.105427357601e-15 613.461538461538 7.105427357601e-15 -2.11406699945038e-05
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 108 24 79.3269230769231 0 888.461538461538 0 -2.93900108086409e-05
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+20 0 1 0 0 24 128 24 79.3269230769231 0 1100 0 -1.38007102504271e-05
+20 0 1 0 0 24 132 24 79.3269230769231 0 1142.30769230769 0 -1.3197767260298e-05
+20 0 1 0 0 24 136 24 79.3269230769231 0 1184.61538461538 0 -1.21794272161152e-05
+20 0 1 0 0 24 140 24 79.3269230769231 0 1226.92307692308 0 -1.1648082791356e-05
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 24 18 24 79.3269230769231 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 8.03635243621554e-06
+20 0 2 0 0 24 20 24 79.3269230769231 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 5.12224726105662e-06
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 140 24 111.057692307692 0 1226.92307692308 0 -1.63215111296051e-05
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 -3.90856264033359e-05
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/vely.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/vely.z.asc
new file mode 100644
index 000000000..c10c50d64
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/vely.z.asc
@@ -0,0 +1,864 @@
+# WHISKY::vely z (vely)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 0
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 0
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+0 0 0 0 0 24 24 80 0 0 0 592.307692307692 0
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+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 1.79241032645746e-23
+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 7.77206326391309e-24
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 24 128 47.5961538461538 0 0 1100 -3.72855456978457e-26
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+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 -5.82556561416152e-26
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 24 18 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 -2.00422300943632e-22
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+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 8.3933874761285e-20
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+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 8.12555373857227e-21
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 -4.32820762003794e-24
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 4.59513424759826e-23
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 -9.5696013850161e-32
+16 0 0 0 0 24 24 208 63.4615384615385 0 0 1946.15384615385 -1.64803668629729e-35
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+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 0
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 1.19108649922304e-22
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+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 -5.08184463915585e-26
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 2.67393883464807e-20
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 -5.08338228984444e-24
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 3 0 0 24 24 51 79.3269230769231 7.105427357601e-15 7.105427357601e-15 285.576923076923 3.21289200140556e-22
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 0 0 0 24 24 0 95.1923076923077 0 0 -253.846153846154 -6.9398248812462e-22
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 -1.49682927469162e-20
+28 0 2 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 3.52303020454448e-20
+28 0 2 0 0 24 24 54 111.057692307692 7.105427357601e-15 7.105427357601e-15 317.307692307692 -4.29173134448282e-20
+28 0 2 0 0 24 24 56 111.057692307692 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.19719071925711e-18
+28 0 2 0 0 24 24 58 111.057692307692 7.105427357601e-15 7.105427357601e-15 359.615384615385 3.37623714774371e-18
+28 0 2 0 0 24 24 60 111.057692307692 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.67507298390572e-18
+28 0 2 0 0 24 24 62 111.057692307692 7.105427357601e-15 7.105427357601e-15 401.923076923077 -6.78463626109355e-18
+28 0 2 0 0 24 24 64 111.057692307692 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.54161921055889e-17
+28 0 2 0 0 24 24 66 111.057692307692 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.33421955345175e-17
+28 0 2 0 0 24 24 68 111.057692307692 7.105427357601e-15 7.105427357601e-15 465.384615384615 7.04990297180032e-18
+28 0 2 0 0 24 24 70 111.057692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 4.26869452336308e-18
+28 0 2 0 0 24 24 72 111.057692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 -3.08984542967246e-19
+28 0 2 0 0 24 24 74 111.057692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 -9.96760420365784e-19
+28 0 2 0 0 24 24 76 111.057692307692 7.105427357601e-15 7.105427357601e-15 550 -8.8037432744709e-19
+28 0 2 0 0 24 24 78 111.057692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 -5.39863164483085e-19
+28 0 2 0 0 24 24 80 111.057692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 -1.32496166070044e-19
+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 -3.28361825254376e-20
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 24 22 111.057692307692 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 -9.69370652148653e-21
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+28 0 3 0 0 24 24 28 111.057692307692 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.00165585524298e-20
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+28 0 3 0 0 24 24 31 111.057692307692 7.105427357601e-15 7.105427357601e-15 74.0384615384616 -9.83653054142118e-21
+28 0 3 0 0 24 24 32 111.057692307692 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.2441654137666e-19
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+28 0 3 0 0 24 24 37 111.057692307692 7.105427357601e-15 7.105427357601e-15 137.5 -9.29812107424725e-20
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+28 0 3 0 0 24 24 39 111.057692307692 7.105427357601e-15 7.105427357601e-15 158.653846153846 8.88225038099048e-22
+28 0 3 0 0 24 24 40 111.057692307692 7.105427357601e-15 7.105427357601e-15 169.230769230769 -2.39816501928299e-21
+28 0 3 0 0 24 24 41 111.057692307692 7.105427357601e-15 7.105427357601e-15 179.807692307692 -5.95969093082897e-21
+28 0 3 0 0 24 24 42 111.057692307692 7.105427357601e-15 7.105427357601e-15 190.384615384615 -7.11738610944285e-21
+28 0 3 0 0 24 24 43 111.057692307692 7.105427357601e-15 7.105427357601e-15 200.961538461539 5.46906448998178e-23
+28 0 3 0 0 24 24 44 111.057692307692 7.105427357601e-15 7.105427357601e-15 211.538461538462 -1.00856120963428e-19
+28 0 3 0 0 24 24 45 111.057692307692 7.105427357601e-15 7.105427357601e-15 222.115384615385 -5.29472097990749e-20
+28 0 3 0 0 24 24 46 111.057692307692 7.105427357601e-15 7.105427357601e-15 232.692307692308 -2.44371045854722e-21
+28 0 3 0 0 24 24 47 111.057692307692 7.105427357601e-15 7.105427357601e-15 243.269230769231 -2.44427783671891e-21
+28 0 3 0 0 24 24 48 111.057692307692 7.105427357601e-15 7.105427357601e-15 253.846153846154 -3.38521444669447e-21
+28 0 3 0 0 24 24 49 111.057692307692 7.105427357601e-15 7.105427357601e-15 264.423076923077 -5.6261437402531e-21
+28 0 3 0 0 24 24 50 111.057692307692 7.105427357601e-15 7.105427357601e-15 275 -1.49682927469162e-20
+28 0 3 0 0 24 24 51 111.057692307692 7.105427357601e-15 7.105427357601e-15 285.576923076923 6.02443952318501e-21
+28 0 3 0 0 24 24 52 111.057692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 3.52303020454448e-20
+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 -7.24500069025947e-20
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/vely_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/vely_maximum.xg
new file mode 100644
index 000000000..18dd4068f
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/vely_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::vely
+"vely v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 7.8952603935727e-07
+1.5865384615385e+01 2.9671867220737e-06
+2.3798076923077e+01 2.3989003364815e-06
+3.1730769230769e+01 1.0200501636959e-05
+3.9663461538462e+01 3.9838075896801e-06
+4.7596153846154e+01 8.9105069037929e-06
+5.5528846153846e+01 5.5808581546144e-06
+6.3461538461538e+01 2.0404960228001e-05
+7.1394230769231e+01 7.1756077320002e-06
+7.5360576923077e+01 3.0207085052215e-06
+7.9326923076923e+01 1.5011692456447e-05
+8.3293269230769e+01 3.3076163824160e-06
+8.7259615384615e+01 8.9103715395568e-06
+9.1225961538462e+01 3.6170407219307e-06
+9.5192307692308e+01 3.0626559083278e-05
+9.9158653846154e+01 3.9532761894319e-06
+1.0312500000000e+02 1.0661348504557e-05
+1.0709134615385e+02 4.3153616216967e-06
+1.1105769230769e+02 2.1525674894377e-05
+1.1502403846154e+02 4.7022396451300e-06
+1.1899038461538e+02 1.2399333628012e-05
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/vely_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/vely_minimum.xg
new file mode 100644
index 000000000..c41fa5d81
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/vely_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::vely
+"vely v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 -4.1730005570937e-06
+1.5865384615385e+01 -9.6804422792503e-06
+2.3798076923077e+01 -1.2425163619133e-05
+3.1730769230769e+01 -3.5343330838882e-05
+3.9663461538462e+01 -2.0548459888476e-05
+4.7596153846154e+01 -2.8974119014097e-05
+5.5528846153846e+01 -2.8516265468714e-05
+6.3461538461538e+01 -7.0651639833127e-05
+7.1394230769231e+01 -3.6368519729679e-05
+7.5360576923077e+01 -2.5230754640132e-05
+7.9326923076923e+01 -4.8169644741807e-05
+8.3293269230769e+01 -2.7890213940707e-05
+8.7259615384615e+01 -4.4117574378993e-05
+9.1225961538462e+01 -3.0550801914288e-05
+9.5192307692308e+01 -1.0592578494411e-04
+9.9158653846154e+01 -3.3212947544248e-05
+1.0312500000000e+02 -5.1766615486726e-05
+1.0709134615385e+02 -3.5876629452528e-05
+1.1105769230769e+02 -6.7268050621532e-05
+1.1502403846154e+02 -3.8541004545991e-05
+1.1899038461538e+02 -5.9322627858335e-05
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/vely_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/vely_norm1.xg
new file mode 100644
index 000000000..f8a6676a2
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/vely_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::vely
+"vely v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 1.2874712392158e-06
+1.5865384615385e+01 1.5973305612974e-06
+2.3798076923077e+01 3.8880425882781e-06
+3.1730769230769e+01 5.6276888687465e-06
+3.9663461538462e+01 6.4898761092663e-06
+4.7596153846154e+01 4.8653410851184e-06
+5.5528846153846e+01 9.0930799158831e-06
+6.3461538461538e+01 1.1252439920189e-05
+7.1394230769231e+01 1.1697783192960e-05
+7.5360576923077e+01 1.1134086334219e-05
+7.9326923076923e+01 8.1346092464194e-06
+8.3293269230769e+01 1.2339029065971e-05
+8.7259615384615e+01 1.4326841769978e-05
+9.1225961538462e+01 1.3545778676295e-05
+9.5192307692308e+01 1.6875610811726e-05
+9.9158653846154e+01 1.4754119695243e-05
+1.0312500000000e+02 1.6954752373686e-05
+1.0709134615385e+02 1.5962557655978e-05
+1.1105769230769e+02 1.1410852453540e-05
+1.1502403846154e+02 1.7169969912665e-05
+1.1899038461538e+02 1.9581185502319e-05
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/vely_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/vely_norm2.xg
new file mode 100644
index 000000000..29438920c
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/vely_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::vely
+"vely v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 1.5393701020243e-06
+1.5865384615385e+01 2.1223886448706e-06
+2.3798076923077e+01 4.6537014889522e-06
+3.1730769230769e+01 9.6490708920767e-06
+3.9663461538462e+01 7.7682495422772e-06
+4.7596153846154e+01 6.4620996624756e-06
+5.5528846153846e+01 1.0882141984641e-05
+6.3461538461538e+01 1.9292829558139e-05
+7.1394230769231e+01 1.3995438600081e-05
+7.5360576923077e+01 1.3401631544728e-05
+7.9326923076923e+01 1.0803828343371e-05
+8.3293269230769e+01 1.4841998295338e-05
+8.7259615384615e+01 1.7123063746408e-05
+9.1225961538462e+01 1.6282461959325e-05
+9.5192307692308e+01 2.8932106543399e-05
+9.9158653846154e+01 1.7722596758493e-05
+1.0312500000000e+02 2.0249760417699e-05
+1.0709134615385e+02 1.9162054869035e-05
+1.1105769230769e+02 1.5147905089005e-05
+1.1502403846154e+02 2.0600270041761e-05
+1.1899038461538e+02 2.3374685662999e-05
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/velz.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/velz.x.asc
new file mode 100644
index 000000000..65af91562
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/velz.x.asc
@@ -0,0 +1,864 @@
+# WHISKY::velz x (velz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 0
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 0
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 0 0 0 24 24 24 0 0 0 0 0
+0 0 0 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 0
+0 0 0 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 0 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 0 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 0 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 0 0 0 96 24 24 0 761.538461538462 0 0 0
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+0 0 0 0 0 112 24 24 0 930.769230769231 0 0 0
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+0 0 0 0 0 128 24 24 0 1100 0 0 0
+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 0
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 0
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 0
+0 0 0 0 0 160 24 24 0 1438.46153846154 0 0 0
+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 0
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 0
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 0
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 0
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 0
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 0
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 0
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 0
+0 0 0 0 0 232 24 24 0 2200 0 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 0
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 0
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 0
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 0
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 0
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 0
+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 0
+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 0
+0 0 1 0 0 52 24 24 0 296.153846153846 0 0 0
+0 0 1 0 0 56 24 24 0 338.461538461538 0 0 0
+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 0
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 0
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 0
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 0
+0 0 1 0 0 76 24 24 0 550 0 0 0
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 0
+0 0 1 0 0 84 24 24 0 634.615384615385 0 0 0
+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 0
+0 0 1 0 0 92 24 24 0 719.230769230769 0 0 0
+0 0 1 0 0 96 24 24 0 761.538461538462 0 0 0
+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 0
+0 0 1 0 0 104 24 24 0 846.153846153846 0 0 0
+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 0
+0 0 1 0 0 112 24 24 0 930.769230769231 0 0 0
+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 0
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+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 5.2264280129411e-26
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 5.77639093877717e-26
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 224 24 24 63.4615384615385 2115.38461538462 0 0 0
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 136 24 24 63.4615384615385 1184.61538461538 0 0 1.31194934909223e-27
+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 4.90688852099601e-26
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 -4.98701616654285e-24
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 1 0 0 140 24 24 95.1923076923077 1226.92307692308 0 0 -1.60695272026103e-23
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 41 24 24 111.057692307692 179.807692307692 7.105427357601e-15 7.105427357601e-15 9.5485864924269e-20
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+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 -1.83472869009705e-20
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 -5.15883422471338e-20
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 -8.03855797695371e-20
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 -1.67622085039061e-19
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/velz.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/velz.y.asc
new file mode 100644
index 000000000..156c0503a
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/velz.y.asc
@@ -0,0 +1,864 @@
+# WHISKY::velz y (velz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 0
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 0
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+0 0 0 0 0 24 200 24 0 0 1861.53846153846 0 0
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+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 0
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 0
+0 0 0 0 0 24 232 24 0 0 2200 0 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 0
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 0
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+0 0 1 0 0 24 124 24 0 0 1057.69230769231 0 0
+0 0 1 0 0 24 128 24 0 0 1100 0 0
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+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 0
+0 0 1 0 0 24 140 24 0 0 1226.92307692308 0 0
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 18 24 0 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 0
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+0 0 2 0 0 24 58 24 0 7.105427357601e-15 359.615384615385 7.105427357601e-15 0
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+0 0 2 0 0 24 62 24 0 7.105427357601e-15 401.923076923077 7.105427357601e-15 0
+0 0 2 0 0 24 64 24 0 7.105427357601e-15 423.076923076923 7.105427357601e-15 0
+0 0 2 0 0 24 66 24 0 7.105427357601e-15 444.230769230769 7.105427357601e-15 0
+0 0 2 0 0 24 68 24 0 7.105427357601e-15 465.384615384615 7.105427357601e-15 0
+0 0 2 0 0 24 70 24 0 7.105427357601e-15 486.538461538462 7.105427357601e-15 0
+0 0 2 0 0 24 72 24 0 7.105427357601e-15 507.692307692308 7.105427357601e-15 0
+0 0 2 0 0 24 74 24 0 7.105427357601e-15 528.846153846154 7.105427357601e-15 0
+0 0 2 0 0 24 76 24 0 7.105427357601e-15 550 7.105427357601e-15 0
+0 0 2 0 0 24 78 24 0 7.105427357601e-15 571.153846153846 7.105427357601e-15 0
+0 0 2 0 0 24 80 24 0 7.105427357601e-15 592.307692307692 7.105427357601e-15 0
+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 0
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 1 0 0 24 72 24 15.8653846153846 0 507.692307692308 0 0
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+4 0 1 0 0 24 84 24 15.8653846153846 0 634.615384615385 0 1.51925277589349e-23
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+4 0 1 0 0 24 100 24 15.8653846153846 0 803.846153846154 0 -2.57030061047485e-22
+4 0 1 0 0 24 104 24 15.8653846153846 0 846.153846153846 0 6.66920608078747e-22
+4 0 1 0 0 24 108 24 15.8653846153846 0 888.461538461538 0 -5.41352587271922e-16
+4 0 1 0 0 24 112 24 15.8653846153846 0 930.769230769231 0 6.12624080041114e-24
+4 0 1 0 0 24 116 24 15.8653846153846 0 973.076923076923 0 9.12511279980205e-21
+4 0 1 0 0 24 120 24 15.8653846153846 0 1015.38461538462 0 -6.37321755944531e-27
+4 0 1 0 0 24 124 24 15.8653846153846 0 1057.69230769231 0 2.53245758171522e-26
+4 0 1 0 0 24 128 24 15.8653846153846 0 1100 0 0
+4 0 1 0 0 24 132 24 15.8653846153846 0 1142.30769230769 0 -3.88803653533263e-28
+4 0 1 0 0 24 136 24 15.8653846153846 0 1184.61538461538 0 0
+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 2.61314658582436e-26
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 5.77639093877717e-26
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+12 0 2 0 0 24 78 24 47.5961538461538 7.105427357601e-15 571.153846153846 7.105427357601e-15 8.11587440465224e-21
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 4.90688852099601e-26
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 2 0 0 24 78 24 63.4615384615385 7.105427357601e-15 571.153846153846 7.105427357601e-15 2.67281343223222e-20
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 140 24 79.3269230769231 0 1226.92307692308 0 -4.98707198921646e-24
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 3 0 0 24 41 24 95.1923076923077 7.105427357601e-15 179.807692307692 7.105427357601e-15 2.38758443335905e-21
+24 0 3 0 0 24 42 24 95.1923076923077 7.105427357601e-15 190.384615384615 7.105427357601e-15 -5.48933890180549e-21
+24 0 3 0 0 24 43 24 95.1923076923077 7.105427357601e-15 200.961538461539 7.105427357601e-15 -7.21559313262523e-20
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+24 0 3 0 0 24 45 24 95.1923076923077 7.105427357601e-15 222.115384615385 7.105427357601e-15 -1.06388029215713e-20
+24 0 3 0 0 24 46 24 95.1923076923077 7.105427357601e-15 232.692307692308 7.105427357601e-15 -1.30128495184538e-21
+24 0 3 0 0 24 47 24 95.1923076923077 7.105427357601e-15 243.269230769231 7.105427357601e-15 -7.15805919967317e-22
+24 0 3 0 0 24 48 24 95.1923076923077 7.105427357601e-15 253.846153846154 7.105427357601e-15 -3.50928456508648e-22
+24 0 3 0 0 24 49 24 95.1923076923077 7.105427357601e-15 264.423076923077 7.105427357601e-15 1.74534438738824e-22
+24 0 3 0 0 24 50 24 95.1923076923077 7.105427357601e-15 275 7.105427357601e-15 -3.39893142612916e-21
+24 0 3 0 0 24 51 24 95.1923076923077 7.105427357601e-15 285.576923076923 7.105427357601e-15 -1.03299477744978e-20
+24 0 3 0 0 24 52 24 95.1923076923077 7.105427357601e-15 296.153846153846 7.105427357601e-15 -3.45664865883048e-20
+24 0 3 0 0 24 53 24 95.1923076923077 7.105427357601e-15 306.730769230769 7.105427357601e-15 -7.30527824330924e-20
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 24 112 24 111.057692307692 0 930.769230769231 0 1.04147421718861e-18
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+28 0 1 0 0 24 120 24 111.057692307692 0 1015.38461538462 0 1.29754034419933e-19
+28 0 1 0 0 24 124 24 111.057692307692 0 1057.69230769231 0 1.49021672936543e-20
+28 0 1 0 0 24 128 24 111.057692307692 0 1100 0 3.96059643275662e-21
+28 0 1 0 0 24 132 24 111.057692307692 0 1142.30769230769 0 -4.56785987007256e-21
+28 0 1 0 0 24 136 24 111.057692307692 0 1184.61538461538 0 3.95749123669187e-23
+28 0 1 0 0 24 140 24 111.057692307692 0 1226.92307692308 0 -1.84806671355959e-22
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 24 18 24 111.057692307692 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 9.68641098916467e-21
+28 0 2 0 0 24 20 24 111.057692307692 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 1.3933319968421e-22
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+28 0 2 0 0 24 68 24 111.057692307692 7.105427357601e-15 465.384615384615 7.105427357601e-15 6.77932755824854e-18
+28 0 2 0 0 24 70 24 111.057692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 4.14971936560552e-18
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+28 0 2 0 0 24 74 24 111.057692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 -8.79059742119499e-19
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 37 24 111.057692307692 7.105427357601e-15 137.5 7.105427357601e-15 2.27573338396934e-21
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+28 0 3 0 0 24 39 24 111.057692307692 7.105427357601e-15 158.653846153846 7.105427357601e-15 6.89164132516115e-20
+28 0 3 0 0 24 40 24 111.057692307692 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.44631685050463e-20
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+28 0 3 0 0 24 49 24 111.057692307692 7.105427357601e-15 264.423076923077 7.105427357601e-15 -7.02771464204156e-21
+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 -1.8667148425019e-20
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 -5.05227238240714e-20
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 -7.78385928507132e-20
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 -1.05503141152042e-19
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/velz.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/velz.z.asc
new file mode 100644
index 000000000..c200c0a1e
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/velz.z.asc
@@ -0,0 +1,864 @@
+# WHISKY::velz z (velz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 0
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 0
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+0 0 0 0 0 24 24 24 0 0 0 0 0
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+0 0 0 0 0 24 24 88 0 0 0 676.923076923077 0
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+0 0 0 0 0 24 24 112 0 0 0 930.769230769231 0
+0 0 0 0 0 24 24 120 0 0 0 1015.38461538462 0
+0 0 0 0 0 24 24 128 0 0 0 1100 0
+0 0 0 0 0 24 24 136 0 0 0 1184.61538461538 0
+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 0
+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 0
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+0 0 0 0 0 24 24 184 0 0 0 1692.30769230769 0
+0 0 0 0 0 24 24 192 0 0 0 1776.92307692308 0
+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 0
+0 0 0 0 0 24 24 208 0 0 0 1946.15384615385 0
+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 0
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 0
+0 0 0 0 0 24 24 232 0 0 0 2200 0
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 0
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 0
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 -0
+0 0 1 0 0 24 24 24 0 0 0 0 0
+0 0 1 0 0 24 24 28 0 0 0 42.3076923076923 0
+0 0 1 0 0 24 24 32 0 0 0 84.6153846153846 0
+0 0 1 0 0 24 24 36 0 0 0 126.923076923077 0
+0 0 1 0 0 24 24 40 0 0 0 169.230769230769 0
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+0 0 1 0 0 24 24 52 0 0 0 296.153846153846 0
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+0 0 1 0 0 24 24 60 0 0 0 380.769230769231 0
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+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 24 12 31.7307692307692 0 0 -126.923076923077 5.92063110780845e-06
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+8 0 1 0 0 24 24 128 31.7307692307692 0 0 1100 -5.51429658917457e-06
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+8 0 1 0 0 24 24 140 31.7307692307692 0 0 1226.92307692308 -4.6541465031099e-06
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 24 12 47.5961538461538 0 0 -126.923076923077 8.91050690379426e-06
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+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 -6.98407644065589e-06
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 24 18 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 4.75279785105494e-06
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+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 -1.64107960316959e-05
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 -1.61345726140653e-05
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+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 0
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 0
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 1.19072231399873e-05
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+16 0 1 0 0 24 24 124 63.4615384615385 0 0 1057.69230769231 -1.19415380699848e-05
+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 -1.10348115500864e-05
+16 0 1 0 0 24 24 132 63.4615384615385 0 0 1142.30769230769 -1.05528543300321e-05
+16 0 1 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 -9.73884944435329e-06
+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 -9.31412874616791e-06
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 24 18 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 6.34725654018701e-06
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+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 -1.16480827913559e-05
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 2 0 0 24 24 18 79.3269230769231 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 8.03635247286763e-06
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 2 0 0 24 24 70 111.057692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 -3.99849463563418e-05
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+28 0 2 0 0 24 24 74 111.057692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 -3.93383355079634e-05
+28 0 2 0 0 24 24 76 111.057692307692 7.105427357601e-15 7.105427357601e-15 550 -3.88595657011399e-05
+28 0 2 0 0 24 24 78 111.057692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 -3.834045163627e-05
+28 0 2 0 0 24 24 80 111.057692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 -3.76985146447611e-05
+28 0 2 0 0 24 24 82 111.057692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 -3.70236690022126e-05
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 3 0 0 24 24 53 111.057692307692 7.105427357601e-15 7.105427357601e-15 306.730769230769 -3.90856264033256e-05
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/velz_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/velz_maximum.xg
new file mode 100644
index 000000000..32cfdec18
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/velz_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::velz
+"velz v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 7.8952603935682e-07
+1.5865384615385e+01 2.9671867220746e-06
+2.3798076923077e+01 2.3989003364823e-06
+3.1730769230769e+01 1.0200501636959e-05
+3.9663461538462e+01 3.9838075896814e-06
+4.7596153846154e+01 8.9105069037943e-06
+5.5528846153846e+01 5.5808581546155e-06
+6.3461538461538e+01 2.0404960228002e-05
+7.1394230769231e+01 7.1756077319811e-06
+7.5360576923077e+01 3.0207085359633e-06
+7.9326923076923e+01 1.5011692456720e-05
+8.3293269230769e+01 3.3076166387670e-06
+8.7259615384615e+01 8.9103718251185e-06
+9.1225961538462e+01 3.6173174531227e-06
+9.5192307692308e+01 3.0626559099910e-05
+9.9158653846154e+01 3.9536439426053e-06
+1.0312500000000e+02 1.0661351024730e-05
+1.0709134615385e+02 4.3150117062985e-06
+1.1105769230769e+02 2.1525674823381e-05
+1.1502403846154e+02 4.7018283807441e-06
+1.1899038461538e+02 1.2399341878779e-05
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/velz_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/velz_minimum.xg
new file mode 100644
index 000000000..b0b9437c4
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/velz_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::velz
+"velz v time
+0.0000000000000e+00 -0.0000000000000e+00
+7.9326923076923e+00 -4.1730005570729e-06
+1.5865384615385e+01 -9.6804422792503e-06
+2.3798076923077e+01 -1.2425163619096e-05
+3.1730769230769e+01 -3.5343330838882e-05
+3.9663461538462e+01 -2.0548459888444e-05
+4.7596153846154e+01 -2.8974119014097e-05
+5.5528846153846e+01 -2.8516265468703e-05
+6.3461538461538e+01 -7.0651639833127e-05
+7.1394230769231e+01 -3.6368519729774e-05
+7.5360576923077e+01 -2.5230754640131e-05
+7.9326923076923e+01 -4.8169644741808e-05
+8.3293269230769e+01 -2.7890213940708e-05
+8.7259615384615e+01 -4.4117574379054e-05
+9.1225961538462e+01 -3.0550801914313e-05
+9.5192307692308e+01 -1.0592578494411e-04
+9.9158653846154e+01 -3.3212947544304e-05
+1.0312500000000e+02 -5.1766615486740e-05
+1.0709134615385e+02 -3.5876629452487e-05
+1.1105769230769e+02 -6.7268050621532e-05
+1.1502403846154e+02 -3.8541004545623e-05
+1.1899038461538e+02 -5.9322627858358e-05
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/velz_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/velz_norm1.xg
new file mode 100644
index 000000000..b8e91490c
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/velz_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::velz
+"velz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 1.2874730013039e-06
+1.5865384615385e+01 1.5973325716154e-06
+2.3798076923077e+01 3.8880703764225e-06
+3.1730769230769e+01 5.6276888687348e-06
+3.9663461538462e+01 6.4898630497305e-06
+4.7596153846154e+01 4.8653499802177e-06
+5.5528846153846e+01 9.0930554351696e-06
+6.3461538461538e+01 1.1252439911388e-05
+7.1394230769231e+01 1.1697743195169e-05
+7.5360576923077e+01 1.1134079161949e-05
+7.9326923076923e+01 8.1344686156597e-06
+8.3293269230769e+01 1.2338989885428e-05
+8.7259615384615e+01 1.4326768270234e-05
+9.1225961538462e+01 1.3545764402947e-05
+9.5192307692308e+01 1.6875610743270e-05
+9.9158653846154e+01 1.4754047862986e-05
+1.0312500000000e+02 1.6954637723796e-05
+1.0709134615385e+02 1.5962476075906e-05
+1.1105769230769e+02 1.1410642006278e-05
+1.1502403846154e+02 1.7169869831748e-05
+1.1899038461538e+02 1.9581019621436e-05
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/velz_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/velz_norm2.xg
new file mode 100644
index 000000000..332ae0c7e
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/velz_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::velz
+"velz v time
+0.0000000000000e+00 0.0000000000000e+00
+7.9326923076923e+00 1.5393713976985e-06
+1.5865384615385e+01 2.1223891845514e-06
+2.3798076923077e+01 4.6537295548500e-06
+3.1730769230769e+01 9.6490708919994e-06
+3.9663461538462e+01 7.7682295653066e-06
+4.7596153846154e+01 6.4621031057465e-06
+5.5528846153846e+01 1.0882105618998e-05
+6.3461538461538e+01 1.9292829551219e-05
+7.1394230769231e+01 1.3995381435190e-05
+7.5360576923077e+01 1.3401679670353e-05
+7.9326923076923e+01 1.0803724333796e-05
+8.3293269230769e+01 1.4841990215735e-05
+8.7259615384615e+01 1.7122967214050e-05
+9.1225961538462e+01 1.6282481009080e-05
+9.5192307692308e+01 2.8932106493663e-05
+9.9158653846154e+01 1.7722541861931e-05
+1.0312500000000e+02 2.0249613587216e-05
+1.0709134615385e+02 1.9161977838828e-05
+1.1105769230769e+02 1.5147747812782e-05
+1.1502403846154e+02 2.0600145954890e-05
+1.1899038461538e+02 2.3374479121783e-05
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz.x.asc b/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz.x.asc
new file mode 100644
index 000000000..5821c701e
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz.x.asc
@@ -0,0 +1,864 @@
+# WHISKY::w_lorentz x (w_lorentz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 0 24 24 0 -253.846153846154 0 0 1
+0 0 0 0 0 8 24 24 0 -169.230769230769 0 0 1
+0 0 0 0 0 16 24 24 0 -84.6153846153846 0 0 1
+0 0 0 0 0 24 24 24 0 0 0 0 1
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+0 0 0 0 0 40 24 24 0 169.230769230769 0 0 1
+0 0 0 0 0 48 24 24 0 253.846153846154 0 0 1
+0 0 0 0 0 56 24 24 0 338.461538461539 0 0 1
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+0 0 0 0 0 136 24 24 0 1184.61538461538 0 0 1
+0 0 0 0 0 144 24 24 0 1269.23076923077 0 0 1
+0 0 0 0 0 152 24 24 0 1353.84615384615 0 0 1
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+0 0 0 0 0 168 24 24 0 1523.07692307692 0 0 1
+0 0 0 0 0 176 24 24 0 1607.69230769231 0 0 1
+0 0 0 0 0 184 24 24 0 1692.30769230769 0 0 1
+0 0 0 0 0 192 24 24 0 1776.92307692308 0 0 1
+0 0 0 0 0 200 24 24 0 1861.53846153846 0 0 1
+0 0 0 0 0 208 24 24 0 1946.15384615385 0 0 1
+0 0 0 0 0 216 24 24 0 2030.76923076923 0 0 1
+0 0 0 0 0 224 24 24 0 2115.38461538462 0 0 1
+0 0 0 0 0 232 24 24 0 2200 0 0 1
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 12 24 24 0 -126.923076923077 0 0 1
+0 0 1 0 0 16 24 24 0 -84.6153846153846 0 0 1
+0 0 1 0 0 20 24 24 0 -42.3076923076923 0 0 1
+0 0 1 0 0 24 24 24 0 0 0 0 1
+0 0 1 0 0 28 24 24 0 42.3076923076923 0 0 1
+0 0 1 0 0 32 24 24 0 84.6153846153846 0 0 1
+0 0 1 0 0 36 24 24 0 126.923076923077 0 0 1
+0 0 1 0 0 40 24 24 0 169.230769230769 0 0 1
+0 0 1 0 0 44 24 24 0 211.538461538462 0 0 1
+0 0 1 0 0 48 24 24 0 253.846153846154 0 0 1
+0 0 1 0 0 52 24 24 0 296.153846153846 0 0 1
+0 0 1 0 0 56 24 24 0 338.461538461538 0 0 1
+0 0 1 0 0 60 24 24 0 380.769230769231 0 0 1
+0 0 1 0 0 64 24 24 0 423.076923076923 0 0 1
+0 0 1 0 0 68 24 24 0 465.384615384615 0 0 1
+0 0 1 0 0 72 24 24 0 507.692307692308 0 0 1
+0 0 1 0 0 76 24 24 0 550 0 0 1
+0 0 1 0 0 80 24 24 0 592.307692307692 0 0 1
+0 0 1 0 0 84 24 24 0 634.615384615385 0 0 1
+0 0 1 0 0 88 24 24 0 676.923076923077 0 0 1
+0 0 1 0 0 92 24 24 0 719.230769230769 0 0 1
+0 0 1 0 0 96 24 24 0 761.538461538462 0 0 1
+0 0 1 0 0 100 24 24 0 803.846153846154 0 0 1
+0 0 1 0 0 104 24 24 0 846.153846153846 0 0 1
+0 0 1 0 0 108 24 24 0 888.461538461538 0 0 1
+0 0 1 0 0 112 24 24 0 930.769230769231 0 0 1
+0 0 1 0 0 116 24 24 0 973.076923076923 0 0 1
+0 0 1 0 0 120 24 24 0 1015.38461538462 0 0 1
+0 0 1 0 0 124 24 24 0 1057.69230769231 0 0 1
+0 0 1 0 0 128 24 24 0 1100 0 0 1
+0 0 1 0 0 132 24 24 0 1142.30769230769 0 0 1
+0 0 1 0 0 136 24 24 0 1184.61538461538 0 0 1
+0 0 1 0 0 140 24 24 0 1226.92307692308 0 0 1
+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 18 24 24 0 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1
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+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 2 0 0 82 24 24 15.8653846153846 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.00000000001409
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 0 24 24 31.7307692307692 -253.846153846154 0 0 1.00000000005299
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 12 24 24 31.7307692307692 -126.923076923077 0 0 1.00000000001788
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+8 0 1 0 0 140 24 24 31.7307692307692 1226.92307692308 0 0 1.00000000001091
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 28 24 24 31.7307692307692 42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.00000000000227
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+8 0 2 0 0 72 24 24 31.7307692307692 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.00000000006509
+8 0 2 0 0 74 24 24 31.7307692307692 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.00000000006383
+8 0 2 0 0 76 24 24 31.7307692307692 550 7.105427357601e-15 7.105427357601e-15 1.00000000006229
+8 0 2 0 0 78 24 24 31.7307692307692 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.00000000006059
+8 0 2 0 0 80 24 24 31.7307692307692 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.00000000005851
+8 0 2 0 0 82 24 24 31.7307692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.00000000005641
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 12 24 24 47.5961538461538 -126.923076923077 0 0 1.00000000004049
+12 0 1 0 0 16 24 24 47.5961538461538 -84.6153846153846 0 0 1.00000000001981
+12 0 1 0 0 20 24 24 47.5961538461538 -42.3076923076923 0 0 1.00000000000487
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+12 0 1 0 0 36 24 24 47.5961538461538 126.923076923077 0 0 1.00000000004049
+12 0 1 0 0 40 24 24 47.5961538461538 169.230769230769 0 0 1.00000000006853
+12 0 1 0 0 44 24 24 47.5961538461538 211.538461538462 0 0 1.0000000000917
+12 0 1 0 0 48 24 24 47.5961538461538 253.846153846154 0 0 1.00000000011917
+12 0 1 0 0 52 24 24 47.5961538461538 296.153846153846 0 0 1.00000000013996
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+12 0 1 0 0 108 24 24 47.5961538461538 888.461538461538 0 0 1.00000000013965
+12 0 1 0 0 112 24 24 47.5961538461538 930.769230769231 0 0 1.00000000005603
+12 0 1 0 0 116 24 24 47.5961538461538 973.076923076923 0 0 1.00000000005137
+12 0 1 0 0 120 24 24 47.5961538461538 1015.38461538462 0 0 1.00000000004423
+12 0 1 0 0 124 24 24 47.5961538461538 1057.69230769231 0 0 1.00000000004042
+12 0 1 0 0 128 24 24 47.5961538461538 1100 0 0 1.00000000003451
+12 0 1 0 0 132 24 24 47.5961538461538 1142.30769230769 0 0 1.00000000003155
+12 0 1 0 0 136 24 24 47.5961538461538 1184.61538461538 0 0 1.00000000002686
+12 0 1 0 0 140 24 24 47.5961538461538 1226.92307692308 0 0 1.00000000002457
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 18 24 24 47.5961538461538 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.00000000001153
+12 0 2 0 0 20 24 24 47.5961538461538 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.00000000000487
+12 0 2 0 0 22 24 24 47.5961538461538 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.00000000000026
+12 0 2 0 0 24 24 24 47.5961538461538 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1
+12 0 2 0 0 26 24 24 47.5961538461538 21.1538461538462 7.105427357601e-15 7.105427357601e-15 1.00000000000026
+12 0 2 0 0 28 24 24 47.5961538461538 42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.00000000000487
+12 0 2 0 0 30 24 24 47.5961538461538 63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.00000000001153
+12 0 2 0 0 32 24 24 47.5961538461538 84.6153846153846 7.105427357601e-15 7.105427357601e-15 1.00000000001981
+12 0 2 0 0 34 24 24 47.5961538461538 105.769230769231 7.105427357601e-15 7.105427357601e-15 1.00000000002982
+12 0 2 0 0 36 24 24 47.5961538461538 126.923076923077 7.105427357601e-15 7.105427357601e-15 1.00000000004049
+12 0 2 0 0 38 24 24 47.5961538461538 148.076923076923 7.105427357601e-15 7.105427357601e-15 1.00000000005246
+12 0 2 0 0 40 24 24 47.5961538461538 169.230769230769 7.105427357601e-15 7.105427357601e-15 1.00000000006853
+12 0 2 0 0 42 24 24 47.5961538461538 190.384615384615 7.105427357601e-15 7.105427357601e-15 1.00000000008332
+12 0 2 0 0 44 24 24 47.5961538461538 211.538461538462 7.105427357601e-15 7.105427357601e-15 1.0000000000917
+12 0 2 0 0 46 24 24 47.5961538461538 232.692307692308 7.105427357601e-15 7.105427357601e-15 1.00000000010801
+12 0 2 0 0 48 24 24 47.5961538461538 253.846153846154 7.105427357601e-15 7.105427357601e-15 1.00000000011917
+12 0 2 0 0 50 24 24 47.5961538461538 275 7.105427357601e-15 7.105427357601e-15 1.00000000012908
+12 0 2 0 0 52 24 24 47.5961538461538 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.00000000013996
+12 0 2 0 0 54 24 24 47.5961538461538 317.307692307692 7.105427357601e-15 7.105427357601e-15 1.00000000014537
+12 0 2 0 0 56 24 24 47.5961538461538 338.461538461538 7.105427357601e-15 7.105427357601e-15 1.00000000015639
+12 0 2 0 0 58 24 24 47.5961538461538 359.615384615385 7.105427357601e-15 7.105427357601e-15 1.00000000015574
+12 0 2 0 0 60 24 24 47.5961538461538 380.769230769231 7.105427357601e-15 7.105427357601e-15 1.00000000016079
+12 0 2 0 0 62 24 24 47.5961538461538 401.923076923077 7.105427357601e-15 7.105427357601e-15 1.00000000015657
+12 0 2 0 0 64 24 24 47.5961538461538 423.076923076923 7.105427357601e-15 7.105427357601e-15 1.0000000003061
+12 0 2 0 0 66 24 24 47.5961538461538 444.230769230769 7.105427357601e-15 7.105427357601e-15 1.00000000022826
+12 0 2 0 0 68 24 24 47.5961538461538 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.00000000014976
+12 0 2 0 0 70 24 24 47.5961538461538 486.538461538462 7.105427357601e-15 7.105427357601e-15 1.00000000014831
+12 0 2 0 0 72 24 24 47.5961538461538 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.00000000014654
+12 0 2 0 0 74 24 24 47.5961538461538 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.00000000014372
+12 0 2 0 0 76 24 24 47.5961538461538 550 7.105427357601e-15 7.105427357601e-15 1.00000000014028
+12 0 2 0 0 78 24 24 47.5961538461538 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.0000000001365
+12 0 2 0 0 80 24 24 47.5961538461538 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.0000000001319
+12 0 2 0 0 82 24 24 47.5961538461538 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.00000000012716
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 0 24 24 63.4615384615385 -253.846153846154 0 0 1.00000000021205
+16 0 0 0 0 8 24 24 63.4615384615385 -169.230769230769 0 0 1.00000000012181
+16 0 0 0 0 16 24 24 63.4615384615385 -84.6153846153846 0 0 1.00000000003523
+16 0 0 0 0 24 24 24 63.4615384615385 0 0 0 1
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+16 0 0 0 0 40 24 24 63.4615384615385 169.230769230769 0 0 1.00000000012181
+16 0 0 0 0 48 24 24 63.4615384615385 253.846153846154 0 0 1.00000000021205
+16 0 0 0 0 56 24 24 63.4615384615385 338.461538461539 0 0 1.00000000027848
+16 0 0 0 0 64 24 24 63.4615384615385 423.076923076923 0 0 1.00000000053502
+16 0 0 0 0 72 24 24 63.4615384615385 507.692307692308 0 0 1.00000000026074
+16 0 0 0 0 80 24 24 63.4615384615385 592.307692307692 0 0 1.00000000023477
+16 0 0 0 0 88 24 24 63.4615384615385 676.923076923077 0 0 1.0000000001963
+16 0 0 0 0 96 24 24 63.4615384615385 761.538461538462 0 0 1.00000000016014
+16 0 0 0 0 104 24 24 63.4615384615385 846.153846153846 0 0 1.00000000054817
+16 0 0 0 0 112 24 24 63.4615384615385 930.769230769231 0 0 1.00000000009982
+16 0 0 0 0 120 24 24 63.4615384615385 1015.38461538462 0 0 1.00000000007867
+16 0 0 0 0 128 24 24 63.4615384615385 1100 0 0 1.00000000006137
+16 0 0 0 0 136 24 24 63.4615384615385 1184.61538461538 0 0 1.00000000004778
+16 0 0 0 0 144 24 24 63.4615384615385 1269.23076923077 0 0 1.00000000003704
+16 0 0 0 0 152 24 24 63.4615384615385 1353.84615384615 0 0 1.00000000002875
+16 0 0 0 0 160 24 24 63.4615384615385 1438.46153846154 0 0 1.0000000000223
+16 0 0 0 0 168 24 24 63.4615384615385 1523.07692307692 0 0 1.00000000001722
+16 0 0 0 0 176 24 24 63.4615384615385 1607.69230769231 0 0 1.00000000001312
+16 0 0 0 0 184 24 24 63.4615384615385 1692.30769230769 0 0 1.00000000000874
+16 0 0 0 0 192 24 24 63.4615384615385 1776.92307692308 0 0 1.00000000000264
+16 0 0 0 0 200 24 24 63.4615384615385 1861.53846153846 0 0 1.00000000025742
+16 0 0 0 0 208 24 24 63.4615384615385 1946.15384615385 0 0 1.00000000241257
+16 0 0 0 0 216 24 24 63.4615384615385 2030.76923076923 0 0 1
+16 0 0 0 0 224 24 24 63.4615384615385 2115.38461538462 0 0 1
+16 0 0 0 0 232 24 24 63.4615384615385 2200 0 0 1
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 12 24 24 63.4615384615385 -126.923076923077 0 0 1.00000000007231
+16 0 1 0 0 16 24 24 63.4615384615385 -84.6153846153846 0 0 1.00000000003523
+16 0 1 0 0 20 24 24 63.4615384615385 -42.3076923076923 0 0 1.00000000000839
+16 0 1 0 0 24 24 24 63.4615384615385 0 0 0 1
+16 0 1 0 0 28 24 24 63.4615384615385 42.3076923076923 0 0 1.00000000000839
+16 0 1 0 0 32 24 24 63.4615384615385 84.6153846153846 0 0 1.00000000003523
+16 0 1 0 0 36 24 24 63.4615384615385 126.923076923077 0 0 1.00000000007231
+16 0 1 0 0 40 24 24 63.4615384615385 169.230769230769 0 0 1.00000000012181
+16 0 1 0 0 44 24 24 63.4615384615385 211.538461538462 0 0 1.00000000016306
+16 0 1 0 0 48 24 24 63.4615384615385 253.846153846154 0 0 1.00000000021205
+16 0 1 0 0 52 24 24 63.4615384615385 296.153846153846 0 0 1.00000000024879
+16 0 1 0 0 56 24 24 63.4615384615385 338.461538461538 0 0 1.00000000027848
+16 0 1 0 0 60 24 24 63.4615384615385 380.769230769231 0 0 1.00000000028573
+16 0 1 0 0 64 24 24 63.4615384615385 423.076923076923 0 0 1.00000000053502
+16 0 1 0 0 68 24 24 63.4615384615385 465.384615384615 0 0 1.00000000026662
+16 0 1 0 0 72 24 24 63.4615384615385 507.692307692308 0 0 1.00000000026074
+16 0 1 0 0 76 24 24 63.4615384615385 550 0 0 1.00000000024959
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+16 0 1 0 0 88 24 24 63.4615384615385 676.923076923077 0 0 1.0000000001963
+16 0 1 0 0 92 24 24 63.4615384615385 719.230769230769 0 0 1.00000000017813
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+16 0 1 0 0 100 24 24 63.4615384615385 803.846153846154 0 0 1.0000000001164
+16 0 1 0 0 104 24 24 63.4615384615385 846.153846153846 0 0 1.00000000054817
+16 0 1 0 0 108 24 24 63.4615384615385 888.461538461538 0 0 1.00000000033316
+16 0 1 0 0 112 24 24 63.4615384615385 930.769230769231 0 0 1.00000000009982
+16 0 1 0 0 116 24 24 63.4615384615385 973.076923076923 0 0 1.00000000009147
+16 0 1 0 0 120 24 24 63.4615384615385 1015.38461538462 0 0 1.00000000007867
+16 0 1 0 0 124 24 24 63.4615384615385 1057.69230769231 0 0 1.0000000000719
+16 0 1 0 0 128 24 24 63.4615384615385 1100 0 0 1.00000000006137
+16 0 1 0 0 132 24 24 63.4615384615385 1142.30769230769 0 0 1.00000000005611
+16 0 1 0 0 136 24 24 63.4615384615385 1184.61538461538 0 0 1.00000000004778
+16 0 1 0 0 140 24 24 63.4615384615385 1226.92307692308 0 0 1.00000000004369
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 18 24 24 63.4615384615385 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.00000000002055
+16 0 2 0 0 20 24 24 63.4615384615385 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.00000000000839
+16 0 2 0 0 22 24 24 63.4615384615385 -21.1538461538461 7.105427357601e-15 7.105427357601e-15 1.00000000000057
+16 0 2 0 0 24 24 24 63.4615384615385 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1
+16 0 2 0 0 26 24 24 63.4615384615385 21.1538461538462 7.105427357601e-15 7.105427357601e-15 1.00000000000057
+16 0 2 0 0 28 24 24 63.4615384615385 42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.00000000000839
+16 0 2 0 0 30 24 24 63.4615384615385 63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.00000000002055
+16 0 2 0 0 32 24 24 63.4615384615385 84.6153846153846 7.105427357601e-15 7.105427357601e-15 1.00000000003523
+16 0 2 0 0 34 24 24 63.4615384615385 105.769230769231 7.105427357601e-15 7.105427357601e-15 1.00000000005286
+16 0 2 0 0 36 24 24 63.4615384615385 126.923076923077 7.105427357601e-15 7.105427357601e-15 1.00000000007231
+16 0 2 0 0 38 24 24 63.4615384615385 148.076923076923 7.105427357601e-15 7.105427357601e-15 1.00000000009375
+16 0 2 0 0 40 24 24 63.4615384615385 169.230769230769 7.105427357601e-15 7.105427357601e-15 1.00000000012181
+16 0 2 0 0 42 24 24 63.4615384615385 190.384615384615 7.105427357601e-15 7.105427357601e-15 1.00000000014819
+16 0 2 0 0 44 24 24 63.4615384615385 211.538461538462 7.105427357601e-15 7.105427357601e-15 1.00000000016306
+16 0 2 0 0 46 24 24 63.4615384615385 232.692307692308 7.105427357601e-15 7.105427357601e-15 1.00000000019218
+16 0 2 0 0 48 24 24 63.4615384615385 253.846153846154 7.105427357601e-15 7.105427357601e-15 1.00000000021205
+16 0 2 0 0 50 24 24 63.4615384615385 275 7.105427357601e-15 7.105427357601e-15 1.00000000022975
+16 0 2 0 0 52 24 24 63.4615384615385 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.00000000024879
+16 0 2 0 0 54 24 24 63.4615384615385 317.307692307692 7.105427357601e-15 7.105427357601e-15 1.00000000025804
+16 0 2 0 0 56 24 24 63.4615384615385 338.461538461538 7.105427357601e-15 7.105427357601e-15 1.00000000027848
+16 0 2 0 0 58 24 24 63.4615384615385 359.615384615385 7.105427357601e-15 7.105427357601e-15 1.00000000027791
+16 0 2 0 0 60 24 24 63.4615384615385 380.769230769231 7.105427357601e-15 7.105427357601e-15 1.00000000028573
+16 0 2 0 0 62 24 24 63.4615384615385 401.923076923077 7.105427357601e-15 7.105427357601e-15 1.0000000002795
+16 0 2 0 0 64 24 24 63.4615384615385 423.076923076923 7.105427357601e-15 7.105427357601e-15 1.00000000053502
+16 0 2 0 0 66 24 24 63.4615384615385 444.230769230769 7.105427357601e-15 7.105427357601e-15 1.00000000040169
+16 0 2 0 0 68 24 24 63.4615384615385 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.00000000026662
+16 0 2 0 0 70 24 24 63.4615384615385 486.538461538462 7.105427357601e-15 7.105427357601e-15 1.00000000026397
+16 0 2 0 0 72 24 24 63.4615384615385 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.00000000026074
+16 0 2 0 0 74 24 24 63.4615384615385 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.0000000002557
+16 0 2 0 0 76 24 24 63.4615384615385 550 7.105427357601e-15 7.105427357601e-15 1.00000000024959
+16 0 2 0 0 78 24 24 63.4615384615385 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.0000000002429
+16 0 2 0 0 80 24 24 63.4615384615385 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.00000000023477
+16 0 2 0 0 82 24 24 63.4615384615385 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.00000000022639
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 12 24 24 79.3269230769231 -126.923076923077 0 0 1.00000000011493
+20 0 1 0 0 16 24 24 79.3269230769231 -84.6153846153846 0 0 1.0000000000561
+20 0 1 0 0 20 24 24 79.3269230769231 -42.3076923076923 0 0 1.00000000001339
+20 0 1 0 0 24 24 24 79.3269230769231 0 0 0 1
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+20 0 1 0 0 32 24 24 79.3269230769231 84.6153846153846 0 0 1.0000000000561
+20 0 1 0 0 36 24 24 79.3269230769231 126.923076923077 0 0 1.00000000011493
+20 0 1 0 0 40 24 24 79.3269230769231 169.230769230769 0 0 1.00000000019366
+20 0 1 0 0 44 24 24 79.3269230769231 211.538461538462 0 0 1.00000000025904
+20 0 1 0 0 48 24 24 79.3269230769231 253.846153846154 0 0 1.0000000003317
+20 0 1 0 0 52 24 24 79.3269230769231 296.153846153846 0 0 1.00000000038853
+20 0 1 0 0 56 24 24 79.3269230769231 338.461538461538 0 0 1.00000000043563
+20 0 1 0 0 60 24 24 79.3269230769231 380.769230769231 0 0 1.00000000044561
+20 0 1 0 0 64 24 24 79.3269230769231 423.076923076923 0 0 1.00000000082309
+20 0 1 0 0 68 24 24 79.3269230769231 465.384615384615 0 0 1.00000000041737
+20 0 1 0 0 72 24 24 79.3269230769231 507.692307692308 0 0 1.00000000040782
+20 0 1 0 0 76 24 24 79.3269230769231 550 0 0 1.00000000039029
+20 0 1 0 0 80 24 24 79.3269230769231 592.307692307692 0 0 1.00000000036709
+20 0 1 0 0 84 24 24 79.3269230769231 634.615384615385 0 0 1.00000000033808
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+20 0 1 0 0 124 24 24 79.3269230769231 1057.69230769231 0 0 1.00000000011246
+20 0 1 0 0 128 24 24 79.3269230769231 1100 0 0 1.000000000096
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+20 0 1 0 0 140 24 24 79.3269230769231 1226.92307692308 0 0 1.00000000006833
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 2 0 0 74 24 24 79.3269230769231 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.0000000003999
+20 0 2 0 0 76 24 24 79.3269230769231 550 7.105427357601e-15 7.105427357601e-15 1.00000000039029
+20 0 2 0 0 78 24 24 79.3269230769231 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.00000000037981
+20 0 2 0 0 80 24 24 79.3269230769231 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.00000000036709
+20 0 2 0 0 82 24 24 79.3269230769231 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.00000000035398
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 3 0 0 50 24 24 79.3269230769231 275 7.105427357601e-15 7.105427357601e-15 1.00000000035917
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+20 0 3 0 0 53 24 24 79.3269230769231 306.730769230769 7.105427357601e-15 7.105427357601e-15 1.00000000039604
+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 0 0 0 0 24 24 95.1923076923077 -253.846153846154 0 0 1.0000000004777
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+24 0 0 0 0 232 24 24 95.1923076923077 2200 0 0 1
+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 1 0 0 12 24 24 95.1923076923077 -126.923076923077 0 0 1.00000000016999
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+24 0 1 0 0 128 24 24 95.1923076923077 1100 0 0 1.00000000013834
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+24 0 1 0 0 140 24 24 95.1923076923077 1226.92307692308 0 0 1.00000000009846
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 2 0 0 18 24 24 95.1923076923077 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.00000000004885
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+24 0 2 0 0 68 24 24 95.1923076923077 465.384615384615 7.105427357601e-15 7.105427357601e-15 1.00000000060189
+24 0 2 0 0 70 24 24 95.1923076923077 486.538461538462 7.105427357601e-15 7.105427357601e-15 1.00000000059555
+24 0 2 0 0 72 24 24 95.1923076923077 507.692307692308 7.105427357601e-15 7.105427357601e-15 1.00000000058784
+24 0 2 0 0 74 24 24 95.1923076923077 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.00000000057633
+24 0 2 0 0 76 24 24 95.1923076923077 550 7.105427357601e-15 7.105427357601e-15 1.00000000056235
+24 0 2 0 0 78 24 24 95.1923076923077 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.00000000054723
+24 0 2 0 0 80 24 24 95.1923076923077 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.00000000052887
+24 0 2 0 0 82 24 24 95.1923076923077 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.00000000050994
+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 3 0 0 21 24 24 95.1923076923077 -31.7307692307692 7.105427357601e-15 7.105427357601e-15 1.00000000000726
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+24 0 3 0 0 36 24 24 95.1923076923077 126.923076923077 7.105427357601e-15 7.105427357601e-15 1.00000000016999
+24 0 3 0 0 37 24 24 95.1923076923077 137.5 7.105427357601e-15 7.105427357601e-15 1.00000000018524
+24 0 3 0 0 38 24 24 95.1923076923077 148.076923076923 7.105427357601e-15 7.105427357601e-15 1.00000000022028
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+24 0 3 0 0 46 24 24 95.1923076923077 232.692307692308 7.105427357601e-15 7.105427357601e-15 1.00000000043266
+24 0 3 0 0 47 24 24 95.1923076923077 243.269230769231 7.105427357601e-15 7.105427357601e-15 1.00000000045422
+24 0 3 0 0 48 24 24 95.1923076923077 253.846153846154 7.105427357601e-15 7.105427357601e-15 1.0000000004777
+24 0 3 0 0 49 24 24 95.1923076923077 264.423076923077 7.105427357601e-15 7.105427357601e-15 1.00000000049676
+24 0 3 0 0 50 24 24 95.1923076923077 275 7.105427357601e-15 7.105427357601e-15 1.0000000005175
+24 0 3 0 0 51 24 24 95.1923076923077 285.576923076923 7.105427357601e-15 7.105427357601e-15 1.00000000053795
+24 0 3 0 0 52 24 24 95.1923076923077 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.00000000056028
+24 0 3 0 0 53 24 24 95.1923076923077 306.730769230769 7.105427357601e-15 7.105427357601e-15 1.00000000057102
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+28 0 1 0 0 108 24 24 111.057692307692 888.461538461538 0 0 1.00000000089211
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+28 0 1 0 0 120 24 24 111.057692307692 1015.38461538462 0 0 1.00000000024162
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+28 0 1 0 0 128 24 24 111.057692307692 1100 0 0 1.0000000001885
+28 0 1 0 0 132 24 24 111.057692307692 1142.30769230769 0 0 1.00000000017234
+28 0 1 0 0 136 24 24 111.057692307692 1184.61538461538 0 0 1.00000000014672
+28 0 1 0 0 140 24 24 111.057692307692 1226.92307692308 0 0 1.00000000013416
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 18 24 24 111.057692307692 -63.4615384615385 7.105427357601e-15 7.105427357601e-15 1.00000000006788
+28 0 2 0 0 20 24 24 111.057692307692 -42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.00000000002791
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+28 0 2 0 0 28 24 24 111.057692307692 42.3076923076923 7.105427357601e-15 7.105427357601e-15 1.00000000002791
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+28 0 2 0 0 74 24 24 111.057692307692 528.846153846154 7.105427357601e-15 7.105427357601e-15 1.00000000078483
+28 0 2 0 0 76 24 24 111.057692307692 550 7.105427357601e-15 7.105427357601e-15 1.0000000007656
+28 0 2 0 0 78 24 24 111.057692307692 571.153846153846 7.105427357601e-15 7.105427357601e-15 1.00000000074505
+28 0 2 0 0 80 24 24 111.057692307692 592.307692307692 7.105427357601e-15 7.105427357601e-15 1.00000000072009
+28 0 2 0 0 82 24 24 111.057692307692 613.461538461538 7.105427357601e-15 7.105427357601e-15 1.00000000069434
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 21 24 24 111.057692307692 -31.7307692307692 7.105427357601e-15 7.105427357601e-15 1.00000000001
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+28 0 3 0 0 39 24 24 111.057692307692 158.653846153846 7.105427357601e-15 7.105427357601e-15 1.00000000032731
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+28 0 3 0 0 45 24 24 111.057692307692 222.115384615385 7.105427357601e-15 7.105427357601e-15 1.00000000055839
+28 0 3 0 0 46 24 24 111.057692307692 232.692307692308 7.105427357601e-15 7.105427357601e-15 1.00000000059003
+28 0 3 0 0 47 24 24 111.057692307692 243.269230769231 7.105427357601e-15 7.105427357601e-15 1.00000000061889
+28 0 3 0 0 48 24 24 111.057692307692 253.846153846154 7.105427357601e-15 7.105427357601e-15 1.00000000065031
+28 0 3 0 0 49 24 24 111.057692307692 264.423076923077 7.105427357601e-15 7.105427357601e-15 1.00000000067644
+28 0 3 0 0 50 24 24 111.057692307692 275 7.105427357601e-15 7.105427357601e-15 1.0000000007049
+28 0 3 0 0 51 24 24 111.057692307692 285.576923076923 7.105427357601e-15 7.105427357601e-15 1.00000000073255
+28 0 3 0 0 52 24 24 111.057692307692 296.153846153846 7.105427357601e-15 7.105427357601e-15 1.00000000076276
+28 0 3 0 0 53 24 24 111.057692307692 306.730769230769 7.105427357601e-15 7.105427357601e-15 1.00000000077744
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz.y.asc b/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz.y.asc
new file mode 100644
index 000000000..8f77ed1ac
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz.y.asc
@@ -0,0 +1,864 @@
+# WHISKY::w_lorentz y (w_lorentz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 0 24 0 0 -253.846153846154 0 1
+0 0 0 0 0 24 8 24 0 0 -169.230769230769 0 1
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+0 0 0 0 0 24 216 24 0 0 2030.76923076923 0 1
+0 0 0 0 0 24 224 24 0 0 2115.38461538462 0 1
+0 0 0 0 0 24 232 24 0 0 2200 0 1
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 12 24 0 0 -126.923076923077 0 1
+0 0 1 0 0 24 16 24 0 0 -84.6153846153846 0 1
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+0 0 1 0 0 24 24 24 0 0 0 0 1
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+0 0 1 0 0 24 108 24 0 0 888.461538461538 0 1
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+0 0 1 0 0 24 116 24 0 0 973.076923076923 0 1
+0 0 1 0 0 24 120 24 0 0 1015.38461538462 0 1
+0 0 1 0 0 24 124 24 0 0 1057.69230769231 0 1
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+0 0 1 0 0 24 136 24 0 0 1184.61538461538 0 1
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+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 18 24 0 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1
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+0 0 2 0 0 24 82 24 0 7.105427357601e-15 613.461538461538 7.105427357601e-15 1
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 12 24 15.8653846153846 0 -126.923076923077 0 1.00000000000449
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+4 0 1 0 0 24 140 24 15.8653846153846 0 1226.92307692308 0 1.00000000000273
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+4 0 2 0 0 24 70 24 15.8653846153846 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.00000000001648
+4 0 2 0 0 24 72 24 15.8653846153846 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.00000000001627
+4 0 2 0 0 24 74 24 15.8653846153846 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.00000000001595
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+4 0 2 0 0 24 78 24 15.8653846153846 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.00000000001512
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+4 0 2 0 0 24 82 24 15.8653846153846 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.00000000001409
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 0 24 31.7307692307692 0 -253.846153846154 0 1.00000000005299
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+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 12 24 31.7307692307692 0 -126.923076923077 0 1.00000000001788
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+8 0 1 0 0 24 140 24 31.7307692307692 0 1226.92307692308 0 1.00000000001091
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+8 0 2 0 0 24 28 24 31.7307692307692 7.105427357601e-15 42.3076923076923 7.105427357601e-15 1.00000000000227
+8 0 2 0 0 24 30 24 31.7307692307692 7.105427357601e-15 63.4615384615385 7.105427357601e-15 1.00000000000519
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+8 0 2 0 0 24 66 24 31.7307692307692 7.105427357601e-15 444.230769230769 7.105427357601e-15 1.00000000010255
+8 0 2 0 0 24 68 24 31.7307692307692 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.00000000006656
+8 0 2 0 0 24 70 24 31.7307692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.0000000000659
+8 0 2 0 0 24 72 24 31.7307692307692 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.00000000006509
+8 0 2 0 0 24 74 24 31.7307692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.00000000006383
+8 0 2 0 0 24 76 24 31.7307692307692 7.105427357601e-15 550 7.105427357601e-15 1.00000000006229
+8 0 2 0 0 24 78 24 31.7307692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.00000000006059
+8 0 2 0 0 24 80 24 31.7307692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.00000000005851
+8 0 2 0 0 24 82 24 31.7307692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.00000000005641
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 12 24 47.5961538461538 0 -126.923076923077 0 1.00000000004049
+12 0 1 0 0 24 16 24 47.5961538461538 0 -84.6153846153846 0 1.00000000001981
+12 0 1 0 0 24 20 24 47.5961538461538 0 -42.3076923076923 0 1.00000000000487
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+12 0 1 0 0 24 36 24 47.5961538461538 0 126.923076923077 0 1.00000000004049
+12 0 1 0 0 24 40 24 47.5961538461538 0 169.230769230769 0 1.00000000006853
+12 0 1 0 0 24 44 24 47.5961538461538 0 211.538461538462 0 1.0000000000917
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+12 0 1 0 0 24 108 24 47.5961538461538 0 888.461538461538 0 1.00000000013965
+12 0 1 0 0 24 112 24 47.5961538461538 0 930.769230769231 0 1.00000000005603
+12 0 1 0 0 24 116 24 47.5961538461538 0 973.076923076923 0 1.00000000005137
+12 0 1 0 0 24 120 24 47.5961538461538 0 1015.38461538462 0 1.00000000004423
+12 0 1 0 0 24 124 24 47.5961538461538 0 1057.69230769231 0 1.00000000004042
+12 0 1 0 0 24 128 24 47.5961538461538 0 1100 0 1.00000000003451
+12 0 1 0 0 24 132 24 47.5961538461538 0 1142.30769230769 0 1.00000000003155
+12 0 1 0 0 24 136 24 47.5961538461538 0 1184.61538461538 0 1.00000000002686
+12 0 1 0 0 24 140 24 47.5961538461538 0 1226.92307692308 0 1.00000000002457
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 18 24 47.5961538461538 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.00000000001153
+12 0 2 0 0 24 20 24 47.5961538461538 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 1.00000000000487
+12 0 2 0 0 24 22 24 47.5961538461538 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 1.00000000000026
+12 0 2 0 0 24 24 24 47.5961538461538 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1
+12 0 2 0 0 24 26 24 47.5961538461538 7.105427357601e-15 21.1538461538462 7.105427357601e-15 1.00000000000026
+12 0 2 0 0 24 28 24 47.5961538461538 7.105427357601e-15 42.3076923076923 7.105427357601e-15 1.00000000000487
+12 0 2 0 0 24 30 24 47.5961538461538 7.105427357601e-15 63.4615384615385 7.105427357601e-15 1.00000000001153
+12 0 2 0 0 24 32 24 47.5961538461538 7.105427357601e-15 84.6153846153846 7.105427357601e-15 1.00000000001981
+12 0 2 0 0 24 34 24 47.5961538461538 7.105427357601e-15 105.769230769231 7.105427357601e-15 1.00000000002982
+12 0 2 0 0 24 36 24 47.5961538461538 7.105427357601e-15 126.923076923077 7.105427357601e-15 1.00000000004049
+12 0 2 0 0 24 38 24 47.5961538461538 7.105427357601e-15 148.076923076923 7.105427357601e-15 1.00000000005246
+12 0 2 0 0 24 40 24 47.5961538461538 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.00000000006853
+12 0 2 0 0 24 42 24 47.5961538461538 7.105427357601e-15 190.384615384615 7.105427357601e-15 1.00000000008332
+12 0 2 0 0 24 44 24 47.5961538461538 7.105427357601e-15 211.538461538462 7.105427357601e-15 1.0000000000917
+12 0 2 0 0 24 46 24 47.5961538461538 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.00000000010801
+12 0 2 0 0 24 48 24 47.5961538461538 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.00000000011917
+12 0 2 0 0 24 50 24 47.5961538461538 7.105427357601e-15 275 7.105427357601e-15 1.00000000012908
+12 0 2 0 0 24 52 24 47.5961538461538 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.00000000013996
+12 0 2 0 0 24 54 24 47.5961538461538 7.105427357601e-15 317.307692307692 7.105427357601e-15 1.00000000014537
+12 0 2 0 0 24 56 24 47.5961538461538 7.105427357601e-15 338.461538461538 7.105427357601e-15 1.00000000015639
+12 0 2 0 0 24 58 24 47.5961538461538 7.105427357601e-15 359.615384615385 7.105427357601e-15 1.00000000015574
+12 0 2 0 0 24 60 24 47.5961538461538 7.105427357601e-15 380.769230769231 7.105427357601e-15 1.00000000016079
+12 0 2 0 0 24 62 24 47.5961538461538 7.105427357601e-15 401.923076923077 7.105427357601e-15 1.00000000015657
+12 0 2 0 0 24 64 24 47.5961538461538 7.105427357601e-15 423.076923076923 7.105427357601e-15 1.0000000003061
+12 0 2 0 0 24 66 24 47.5961538461538 7.105427357601e-15 444.230769230769 7.105427357601e-15 1.00000000022826
+12 0 2 0 0 24 68 24 47.5961538461538 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.00000000014976
+12 0 2 0 0 24 70 24 47.5961538461538 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.00000000014831
+12 0 2 0 0 24 72 24 47.5961538461538 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.00000000014654
+12 0 2 0 0 24 74 24 47.5961538461538 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.00000000014372
+12 0 2 0 0 24 76 24 47.5961538461538 7.105427357601e-15 550 7.105427357601e-15 1.00000000014028
+12 0 2 0 0 24 78 24 47.5961538461538 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.0000000001365
+12 0 2 0 0 24 80 24 47.5961538461538 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.0000000001319
+12 0 2 0 0 24 82 24 47.5961538461538 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.00000000012716
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 24 0 24 63.4615384615385 0 -253.846153846154 0 1.00000000021205
+16 0 0 0 0 24 8 24 63.4615384615385 0 -169.230769230769 0 1.00000000012181
+16 0 0 0 0 24 16 24 63.4615384615385 0 -84.6153846153846 0 1.00000000003523
+16 0 0 0 0 24 24 24 63.4615384615385 0 0 0 1
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+16 0 0 0 0 24 40 24 63.4615384615385 0 169.230769230769 0 1.00000000012181
+16 0 0 0 0 24 48 24 63.4615384615385 0 253.846153846154 0 1.00000000021205
+16 0 0 0 0 24 56 24 63.4615384615385 0 338.461538461539 0 1.00000000027848
+16 0 0 0 0 24 64 24 63.4615384615385 0 423.076923076923 0 1.00000000053502
+16 0 0 0 0 24 72 24 63.4615384615385 0 507.692307692308 0 1.00000000026074
+16 0 0 0 0 24 80 24 63.4615384615385 0 592.307692307692 0 1.00000000023477
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+16 0 0 0 0 24 96 24 63.4615384615385 0 761.538461538462 0 1.00000000016014
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+16 0 0 0 0 24 112 24 63.4615384615385 0 930.769230769231 0 1.00000000009982
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+16 0 0 0 0 24 144 24 63.4615384615385 0 1269.23076923077 0 1.00000000003704
+16 0 0 0 0 24 152 24 63.4615384615385 0 1353.84615384615 0 1.00000000002875
+16 0 0 0 0 24 160 24 63.4615384615385 0 1438.46153846154 0 1.0000000000223
+16 0 0 0 0 24 168 24 63.4615384615385 0 1523.07692307692 0 1.00000000001722
+16 0 0 0 0 24 176 24 63.4615384615385 0 1607.69230769231 0 1.00000000001312
+16 0 0 0 0 24 184 24 63.4615384615385 0 1692.30769230769 0 1.00000000000874
+16 0 0 0 0 24 192 24 63.4615384615385 0 1776.92307692308 0 1.00000000000264
+16 0 0 0 0 24 200 24 63.4615384615385 0 1861.53846153846 0 1.00000000025742
+16 0 0 0 0 24 208 24 63.4615384615385 0 1946.15384615385 0 1.00000000241257
+16 0 0 0 0 24 216 24 63.4615384615385 0 2030.76923076923 0 1
+16 0 0 0 0 24 224 24 63.4615384615385 0 2115.38461538462 0 1
+16 0 0 0 0 24 232 24 63.4615384615385 0 2200 0 1
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 12 24 63.4615384615385 0 -126.923076923077 0 1.00000000007231
+16 0 1 0 0 24 16 24 63.4615384615385 0 -84.6153846153846 0 1.00000000003523
+16 0 1 0 0 24 20 24 63.4615384615385 0 -42.3076923076923 0 1.00000000000839
+16 0 1 0 0 24 24 24 63.4615384615385 0 0 0 1
+16 0 1 0 0 24 28 24 63.4615384615385 0 42.3076923076923 0 1.00000000000839
+16 0 1 0 0 24 32 24 63.4615384615385 0 84.6153846153846 0 1.00000000003523
+16 0 1 0 0 24 36 24 63.4615384615385 0 126.923076923077 0 1.00000000007231
+16 0 1 0 0 24 40 24 63.4615384615385 0 169.230769230769 0 1.00000000012181
+16 0 1 0 0 24 44 24 63.4615384615385 0 211.538461538462 0 1.00000000016306
+16 0 1 0 0 24 48 24 63.4615384615385 0 253.846153846154 0 1.00000000021205
+16 0 1 0 0 24 52 24 63.4615384615385 0 296.153846153846 0 1.00000000024879
+16 0 1 0 0 24 56 24 63.4615384615385 0 338.461538461538 0 1.00000000027848
+16 0 1 0 0 24 60 24 63.4615384615385 0 380.769230769231 0 1.00000000028573
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+16 0 1 0 0 24 68 24 63.4615384615385 0 465.384615384615 0 1.00000000026662
+16 0 1 0 0 24 72 24 63.4615384615385 0 507.692307692308 0 1.00000000026074
+16 0 1 0 0 24 76 24 63.4615384615385 0 550 0 1.00000000024959
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+16 0 1 0 0 24 108 24 63.4615384615385 0 888.461538461538 0 1.00000000033316
+16 0 1 0 0 24 112 24 63.4615384615385 0 930.769230769231 0 1.00000000009982
+16 0 1 0 0 24 116 24 63.4615384615385 0 973.076923076923 0 1.00000000009147
+16 0 1 0 0 24 120 24 63.4615384615385 0 1015.38461538462 0 1.00000000007867
+16 0 1 0 0 24 124 24 63.4615384615385 0 1057.69230769231 0 1.0000000000719
+16 0 1 0 0 24 128 24 63.4615384615385 0 1100 0 1.00000000006137
+16 0 1 0 0 24 132 24 63.4615384615385 0 1142.30769230769 0 1.00000000005611
+16 0 1 0 0 24 136 24 63.4615384615385 0 1184.61538461538 0 1.00000000004778
+16 0 1 0 0 24 140 24 63.4615384615385 0 1226.92307692308 0 1.00000000004369
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 18 24 63.4615384615385 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.00000000002055
+16 0 2 0 0 24 20 24 63.4615384615385 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 1.00000000000839
+16 0 2 0 0 24 22 24 63.4615384615385 7.105427357601e-15 -21.1538461538461 7.105427357601e-15 1.00000000000057
+16 0 2 0 0 24 24 24 63.4615384615385 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1
+16 0 2 0 0 24 26 24 63.4615384615385 7.105427357601e-15 21.1538461538462 7.105427357601e-15 1.00000000000057
+16 0 2 0 0 24 28 24 63.4615384615385 7.105427357601e-15 42.3076923076923 7.105427357601e-15 1.00000000000839
+16 0 2 0 0 24 30 24 63.4615384615385 7.105427357601e-15 63.4615384615385 7.105427357601e-15 1.00000000002055
+16 0 2 0 0 24 32 24 63.4615384615385 7.105427357601e-15 84.6153846153846 7.105427357601e-15 1.00000000003523
+16 0 2 0 0 24 34 24 63.4615384615385 7.105427357601e-15 105.769230769231 7.105427357601e-15 1.00000000005286
+16 0 2 0 0 24 36 24 63.4615384615385 7.105427357601e-15 126.923076923077 7.105427357601e-15 1.00000000007231
+16 0 2 0 0 24 38 24 63.4615384615385 7.105427357601e-15 148.076923076923 7.105427357601e-15 1.00000000009375
+16 0 2 0 0 24 40 24 63.4615384615385 7.105427357601e-15 169.230769230769 7.105427357601e-15 1.00000000012181
+16 0 2 0 0 24 42 24 63.4615384615385 7.105427357601e-15 190.384615384615 7.105427357601e-15 1.00000000014819
+16 0 2 0 0 24 44 24 63.4615384615385 7.105427357601e-15 211.538461538462 7.105427357601e-15 1.00000000016306
+16 0 2 0 0 24 46 24 63.4615384615385 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.00000000019218
+16 0 2 0 0 24 48 24 63.4615384615385 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.00000000021205
+16 0 2 0 0 24 50 24 63.4615384615385 7.105427357601e-15 275 7.105427357601e-15 1.00000000022975
+16 0 2 0 0 24 52 24 63.4615384615385 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.00000000024879
+16 0 2 0 0 24 54 24 63.4615384615385 7.105427357601e-15 317.307692307692 7.105427357601e-15 1.00000000025804
+16 0 2 0 0 24 56 24 63.4615384615385 7.105427357601e-15 338.461538461538 7.105427357601e-15 1.00000000027848
+16 0 2 0 0 24 58 24 63.4615384615385 7.105427357601e-15 359.615384615385 7.105427357601e-15 1.00000000027791
+16 0 2 0 0 24 60 24 63.4615384615385 7.105427357601e-15 380.769230769231 7.105427357601e-15 1.00000000028573
+16 0 2 0 0 24 62 24 63.4615384615385 7.105427357601e-15 401.923076923077 7.105427357601e-15 1.0000000002795
+16 0 2 0 0 24 64 24 63.4615384615385 7.105427357601e-15 423.076923076923 7.105427357601e-15 1.00000000053502
+16 0 2 0 0 24 66 24 63.4615384615385 7.105427357601e-15 444.230769230769 7.105427357601e-15 1.00000000040169
+16 0 2 0 0 24 68 24 63.4615384615385 7.105427357601e-15 465.384615384615 7.105427357601e-15 1.00000000026662
+16 0 2 0 0 24 70 24 63.4615384615385 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.00000000026397
+16 0 2 0 0 24 72 24 63.4615384615385 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.00000000026074
+16 0 2 0 0 24 74 24 63.4615384615385 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.0000000002557
+16 0 2 0 0 24 76 24 63.4615384615385 7.105427357601e-15 550 7.105427357601e-15 1.00000000024959
+16 0 2 0 0 24 78 24 63.4615384615385 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.0000000002429
+16 0 2 0 0 24 80 24 63.4615384615385 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.00000000023477
+16 0 2 0 0 24 82 24 63.4615384615385 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.00000000022639
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 24 12 24 79.3269230769231 0 -126.923076923077 0 1.00000000011493
+20 0 1 0 0 24 16 24 79.3269230769231 0 -84.6153846153846 0 1.0000000000561
+20 0 1 0 0 24 20 24 79.3269230769231 0 -42.3076923076923 0 1.00000000001339
+20 0 1 0 0 24 24 24 79.3269230769231 0 0 0 1
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+20 0 1 0 0 24 32 24 79.3269230769231 0 84.6153846153846 0 1.0000000000561
+20 0 1 0 0 24 36 24 79.3269230769231 0 126.923076923077 0 1.00000000011493
+20 0 1 0 0 24 40 24 79.3269230769231 0 169.230769230769 0 1.00000000019366
+20 0 1 0 0 24 44 24 79.3269230769231 0 211.538461538462 0 1.00000000025904
+20 0 1 0 0 24 48 24 79.3269230769231 0 253.846153846154 0 1.0000000003317
+20 0 1 0 0 24 52 24 79.3269230769231 0 296.153846153846 0 1.00000000038853
+20 0 1 0 0 24 56 24 79.3269230769231 0 338.461538461538 0 1.00000000043563
+20 0 1 0 0 24 60 24 79.3269230769231 0 380.769230769231 0 1.00000000044561
+20 0 1 0 0 24 64 24 79.3269230769231 0 423.076923076923 0 1.00000000082309
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+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 2 0 0 24 80 24 95.1923076923077 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.00000000052887
+24 0 2 0 0 24 82 24 95.1923076923077 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.00000000050994
+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+24 0 3 0 0 24 21 24 95.1923076923077 7.105427357601e-15 -31.7307692307692 7.105427357601e-15 1.00000000000726
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+24 0 3 0 0 24 37 24 95.1923076923077 7.105427357601e-15 137.5 7.105427357601e-15 1.00000000018524
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+24 0 3 0 0 24 39 24 95.1923076923077 7.105427357601e-15 158.653846153846 7.105427357601e-15 1.00000000024056
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+24 0 3 0 0 24 41 24 95.1923076923077 7.105427357601e-15 179.807692307692 7.105427357601e-15 1.00000000030602
+24 0 3 0 0 24 42 24 95.1923076923077 7.105427357601e-15 190.384615384615 7.105427357601e-15 1.00000000034578
+24 0 3 0 0 24 43 24 95.1923076923077 7.105427357601e-15 200.961538461539 7.105427357601e-15 1.00000000034983
+24 0 3 0 0 24 44 24 95.1923076923077 7.105427357601e-15 211.538461538462 7.105427357601e-15 1.00000000038216
+24 0 3 0 0 24 45 24 95.1923076923077 7.105427357601e-15 222.115384615385 7.105427357601e-15 1.00000000040631
+24 0 3 0 0 24 46 24 95.1923076923077 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.00000000043266
+24 0 3 0 0 24 47 24 95.1923076923077 7.105427357601e-15 243.269230769231 7.105427357601e-15 1.00000000045422
+24 0 3 0 0 24 48 24 95.1923076923077 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.0000000004777
+24 0 3 0 0 24 49 24 95.1923076923077 7.105427357601e-15 264.423076923077 7.105427357601e-15 1.00000000049676
+24 0 3 0 0 24 50 24 95.1923076923077 7.105427357601e-15 275 7.105427357601e-15 1.0000000005175
+24 0 3 0 0 24 51 24 95.1923076923077 7.105427357601e-15 285.576923076923 7.105427357601e-15 1.00000000053795
+24 0 3 0 0 24 52 24 95.1923076923077 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.00000000056028
+24 0 3 0 0 24 53 24 95.1923076923077 7.105427357601e-15 306.730769230769 7.105427357601e-15 1.00000000057102
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 1 0 0 24 12 24 111.057692307692 0 -126.923076923077 0 1.00000000023631
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+28 0 1 0 0 24 120 24 111.057692307692 0 1015.38461538462 0 1.00000000024162
+28 0 1 0 0 24 124 24 111.057692307692 0 1057.69230769231 0 1.00000000022082
+28 0 1 0 0 24 128 24 111.057692307692 0 1100 0 1.0000000001885
+28 0 1 0 0 24 132 24 111.057692307692 0 1142.30769230769 0 1.00000000017234
+28 0 1 0 0 24 136 24 111.057692307692 0 1184.61538461538 0 1.00000000014672
+28 0 1 0 0 24 140 24 111.057692307692 0 1226.92307692308 0 1.00000000013416
+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 2 0 0 24 18 24 111.057692307692 7.105427357601e-15 -63.4615384615385 7.105427357601e-15 1.00000000006788
+28 0 2 0 0 24 20 24 111.057692307692 7.105427357601e-15 -42.3076923076923 7.105427357601e-15 1.00000000002791
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+28 0 2 0 0 24 28 24 111.057692307692 7.105427357601e-15 42.3076923076923 7.105427357601e-15 1.00000000002791
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+28 0 2 0 0 24 48 24 111.057692307692 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.00000000065031
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+28 0 2 0 0 24 70 24 111.057692307692 7.105427357601e-15 486.538461538462 7.105427357601e-15 1.00000000081137
+28 0 2 0 0 24 72 24 111.057692307692 7.105427357601e-15 507.692307692308 7.105427357601e-15 1.00000000080067
+28 0 2 0 0 24 74 24 111.057692307692 7.105427357601e-15 528.846153846154 7.105427357601e-15 1.00000000078483
+28 0 2 0 0 24 76 24 111.057692307692 7.105427357601e-15 550 7.105427357601e-15 1.0000000007656
+28 0 2 0 0 24 78 24 111.057692307692 7.105427357601e-15 571.153846153846 7.105427357601e-15 1.00000000074505
+28 0 2 0 0 24 80 24 111.057692307692 7.105427357601e-15 592.307692307692 7.105427357601e-15 1.00000000072009
+28 0 2 0 0 24 82 24 111.057692307692 7.105427357601e-15 613.461538461538 7.105427357601e-15 1.00000000069434
+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+28 0 3 0 0 24 21 24 111.057692307692 7.105427357601e-15 -31.7307692307692 7.105427357601e-15 1.00000000001
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+28 0 3 0 0 24 45 24 111.057692307692 7.105427357601e-15 222.115384615385 7.105427357601e-15 1.00000000055839
+28 0 3 0 0 24 46 24 111.057692307692 7.105427357601e-15 232.692307692308 7.105427357601e-15 1.00000000059003
+28 0 3 0 0 24 47 24 111.057692307692 7.105427357601e-15 243.269230769231 7.105427357601e-15 1.00000000061889
+28 0 3 0 0 24 48 24 111.057692307692 7.105427357601e-15 253.846153846154 7.105427357601e-15 1.00000000065031
+28 0 3 0 0 24 49 24 111.057692307692 7.105427357601e-15 264.423076923077 7.105427357601e-15 1.00000000067644
+28 0 3 0 0 24 50 24 111.057692307692 7.105427357601e-15 275 7.105427357601e-15 1.0000000007049
+28 0 3 0 0 24 51 24 111.057692307692 7.105427357601e-15 285.576923076923 7.105427357601e-15 1.00000000073255
+28 0 3 0 0 24 52 24 111.057692307692 7.105427357601e-15 296.153846153846 7.105427357601e-15 1.00000000076276
+28 0 3 0 0 24 53 24 111.057692307692 7.105427357601e-15 306.730769230769 7.105427357601e-15 1.00000000077744
+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz.z.asc b/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz.z.asc
new file mode 100644
index 000000000..319aeb81d
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz.z.asc
@@ -0,0 +1,864 @@
+# WHISKY::w_lorentz z (w_lorentz)
+#
+# iteration 0
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 0 0 0 24 24 0 0 0 0 -253.846153846154 1
+0 0 0 0 0 24 24 8 0 0 0 -169.230769230769 1
+0 0 0 0 0 24 24 16 0 0 0 -84.6153846153846 1
+0 0 0 0 0 24 24 24 0 0 0 0 1
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+0 0 0 0 0 24 24 40 0 0 0 169.230769230769 1
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+0 0 0 0 0 24 24 112 0 0 0 930.769230769231 1
+0 0 0 0 0 24 24 120 0 0 0 1015.38461538462 1
+0 0 0 0 0 24 24 128 0 0 0 1100 1
+0 0 0 0 0 24 24 136 0 0 0 1184.61538461538 1
+0 0 0 0 0 24 24 144 0 0 0 1269.23076923077 1
+0 0 0 0 0 24 24 152 0 0 0 1353.84615384615 1
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+0 0 0 0 0 24 24 168 0 0 0 1523.07692307692 1
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+0 0 0 0 0 24 24 200 0 0 0 1861.53846153846 1
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+0 0 0 0 0 24 24 216 0 0 0 2030.76923076923 1
+0 0 0 0 0 24 24 224 0 0 0 2115.38461538462 1
+0 0 0 0 0 24 24 232 0 0 0 2200 1
+
+
+# iteration 0
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 1 0 0 24 24 12 0 0 0 -126.923076923077 1
+0 0 1 0 0 24 24 16 0 0 0 -84.6153846153846 1
+0 0 1 0 0 24 24 20 0 0 0 -42.3076923076923 1
+0 0 1 0 0 24 24 24 0 0 0 0 1
+0 0 1 0 0 24 24 28 0 0 0 42.3076923076923 1
+0 0 1 0 0 24 24 32 0 0 0 84.6153846153846 1
+0 0 1 0 0 24 24 36 0 0 0 126.923076923077 1
+0 0 1 0 0 24 24 40 0 0 0 169.230769230769 1
+0 0 1 0 0 24 24 44 0 0 0 211.538461538462 1
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+0 0 1 0 0 24 24 52 0 0 0 296.153846153846 1
+0 0 1 0 0 24 24 56 0 0 0 338.461538461538 1
+0 0 1 0 0 24 24 60 0 0 0 380.769230769231 1
+0 0 1 0 0 24 24 64 0 0 0 423.076923076923 1
+0 0 1 0 0 24 24 68 0 0 0 465.384615384615 1
+0 0 1 0 0 24 24 72 0 0 0 507.692307692308 1
+0 0 1 0 0 24 24 76 0 0 0 550 1
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+0 0 1 0 0 24 24 84 0 0 0 634.615384615385 1
+0 0 1 0 0 24 24 88 0 0 0 676.923076923077 1
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+
+
+# iteration 0
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+0 0 2 0 0 24 24 18 0 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1
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+0 0 2 0 0 24 24 82 0 7.105427357601e-15 7.105427357601e-15 613.461538461538 1
+
+
+# iteration 4
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 1 0 0 24 24 12 15.8653846153846 0 0 -126.923076923077 1.00000000000449
+4 0 1 0 0 24 24 16 15.8653846153846 0 0 -84.6153846153846 1.00000000000216
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+4 0 1 0 0 24 24 140 15.8653846153846 0 0 1226.92307692308 1.00000000000273
+
+
+# iteration 4
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+4 0 2 0 0 24 24 18 15.8653846153846 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.00000000000127
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+4 0 2 0 0 24 24 70 15.8653846153846 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.00000000001648
+4 0 2 0 0 24 24 72 15.8653846153846 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.00000000001627
+4 0 2 0 0 24 24 74 15.8653846153846 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.00000000001595
+4 0 2 0 0 24 24 76 15.8653846153846 7.105427357601e-15 7.105427357601e-15 550 1.00000000001556
+4 0 2 0 0 24 24 78 15.8653846153846 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.00000000001512
+4 0 2 0 0 24 24 80 15.8653846153846 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.0000000000146
+4 0 2 0 0 24 24 82 15.8653846153846 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.00000000001409
+
+
+# iteration 8
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 0 0 0 24 24 0 31.7307692307692 0 0 -253.846153846154 1.00000000005299
+8 0 0 0 0 24 24 8 31.7307692307692 0 0 -169.230769230769 1.00000000003052
+8 0 0 0 0 24 24 16 31.7307692307692 0 0 -84.6153846153846 1.00000000000877
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+8 0 0 0 0 24 24 216 31.7307692307692 0 0 2030.76923076923 1
+8 0 0 0 0 24 24 224 31.7307692307692 0 0 2115.38461538462 1
+8 0 0 0 0 24 24 232 31.7307692307692 0 0 2200 1
+
+
+# iteration 8
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 1 0 0 24 24 12 31.7307692307692 0 0 -126.923076923077 1.00000000001788
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+8 0 1 0 0 24 24 40 31.7307692307692 0 0 169.230769230769 1.00000000003052
+8 0 1 0 0 24 24 44 31.7307692307692 0 0 211.538461538462 1.00000000004061
+8 0 1 0 0 24 24 48 31.7307692307692 0 0 253.846153846154 1.00000000005299
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+8 0 1 0 0 24 24 120 31.7307692307692 0 0 1015.38461538462 1.00000000001963
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+8 0 1 0 0 24 24 128 31.7307692307692 0 0 1100 1.00000000001533
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+8 0 1 0 0 24 24 140 31.7307692307692 0 0 1226.92307692308 1.00000000001091
+
+
+# iteration 8
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+8 0 2 0 0 24 24 18 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.00000000000519
+8 0 2 0 0 24 24 20 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.00000000000227
+8 0 2 0 0 24 24 22 31.7307692307692 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.00000000000009
+8 0 2 0 0 24 24 24 31.7307692307692 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1
+8 0 2 0 0 24 24 26 31.7307692307692 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.00000000000009
+8 0 2 0 0 24 24 28 31.7307692307692 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.00000000000227
+8 0 2 0 0 24 24 30 31.7307692307692 7.105427357601e-15 7.105427357601e-15 63.4615384615385 1.00000000000519
+8 0 2 0 0 24 24 32 31.7307692307692 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.00000000000877
+8 0 2 0 0 24 24 34 31.7307692307692 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.00000000001307
+8 0 2 0 0 24 24 36 31.7307692307692 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.00000000001788
+8 0 2 0 0 24 24 38 31.7307692307692 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.00000000002331
+8 0 2 0 0 24 24 40 31.7307692307692 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.00000000003052
+8 0 2 0 0 24 24 42 31.7307692307692 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.00000000003715
+8 0 2 0 0 24 24 44 31.7307692307692 7.105427357601e-15 7.105427357601e-15 211.538461538462 1.00000000004061
+8 0 2 0 0 24 24 46 31.7307692307692 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.00000000004794
+8 0 2 0 0 24 24 48 31.7307692307692 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.00000000005299
+8 0 2 0 0 24 24 50 31.7307692307692 7.105427357601e-15 7.105427357601e-15 275 1.00000000005741
+8 0 2 0 0 24 24 52 31.7307692307692 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.00000000006205
+8 0 2 0 0 24 24 54 31.7307692307692 7.105427357601e-15 7.105427357601e-15 317.307692307692 1.0000000000645
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+8 0 2 0 0 24 24 58 31.7307692307692 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.00000000006913
+8 0 2 0 0 24 24 60 31.7307692307692 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.00000000007112
+8 0 2 0 0 24 24 62 31.7307692307692 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.00000000006888
+8 0 2 0 0 24 24 64 31.7307692307692 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.00000000013837
+8 0 2 0 0 24 24 66 31.7307692307692 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.00000000010255
+8 0 2 0 0 24 24 68 31.7307692307692 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.00000000006656
+8 0 2 0 0 24 24 70 31.7307692307692 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.0000000000659
+8 0 2 0 0 24 24 72 31.7307692307692 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.00000000006509
+8 0 2 0 0 24 24 74 31.7307692307692 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.00000000006383
+8 0 2 0 0 24 24 76 31.7307692307692 7.105427357601e-15 7.105427357601e-15 550 1.00000000006229
+8 0 2 0 0 24 24 78 31.7307692307692 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.00000000006059
+8 0 2 0 0 24 24 80 31.7307692307692 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.00000000005851
+8 0 2 0 0 24 24 82 31.7307692307692 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.00000000005641
+
+
+# iteration 12
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 1 0 0 24 24 12 47.5961538461538 0 0 -126.923076923077 1.00000000004049
+12 0 1 0 0 24 24 16 47.5961538461538 0 0 -84.6153846153846 1.00000000001981
+12 0 1 0 0 24 24 20 47.5961538461538 0 0 -42.3076923076923 1.00000000000487
+12 0 1 0 0 24 24 24 47.5961538461538 0 0 0 1
+12 0 1 0 0 24 24 28 47.5961538461538 0 0 42.3076923076923 1.00000000000487
+12 0 1 0 0 24 24 32 47.5961538461538 0 0 84.6153846153846 1.00000000001981
+12 0 1 0 0 24 24 36 47.5961538461538 0 0 126.923076923077 1.00000000004049
+12 0 1 0 0 24 24 40 47.5961538461538 0 0 169.230769230769 1.00000000006853
+12 0 1 0 0 24 24 44 47.5961538461538 0 0 211.538461538462 1.0000000000917
+12 0 1 0 0 24 24 48 47.5961538461538 0 0 253.846153846154 1.00000000011917
+12 0 1 0 0 24 24 52 47.5961538461538 0 0 296.153846153846 1.00000000013996
+12 0 1 0 0 24 24 56 47.5961538461538 0 0 338.461538461538 1.00000000015639
+12 0 1 0 0 24 24 60 47.5961538461538 0 0 380.769230769231 1.00000000016079
+12 0 1 0 0 24 24 64 47.5961538461538 0 0 423.076923076923 1.0000000003061
+12 0 1 0 0 24 24 68 47.5961538461538 0 0 465.384615384615 1.00000000014976
+12 0 1 0 0 24 24 72 47.5961538461538 0 0 507.692307692308 1.00000000014654
+12 0 1 0 0 24 24 76 47.5961538461538 0 0 550 1.00000000014028
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+12 0 1 0 0 24 24 88 47.5961538461538 0 0 676.923076923077 1.00000000011039
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+12 0 1 0 0 24 24 96 47.5961538461538 0 0 761.538461538462 1.00000000009
+12 0 1 0 0 24 24 100 47.5961538461538 0 0 803.846153846154 1.000000000065
+12 0 1 0 0 24 24 104 47.5961538461538 0 0 846.153846153846 1.00000000031051
+12 0 1 0 0 24 24 108 47.5961538461538 0 0 888.461538461538 1.00000000013965
+12 0 1 0 0 24 24 112 47.5961538461538 0 0 930.769230769231 1.00000000005603
+12 0 1 0 0 24 24 116 47.5961538461538 0 0 973.076923076923 1.00000000005137
+12 0 1 0 0 24 24 120 47.5961538461538 0 0 1015.38461538462 1.00000000004423
+12 0 1 0 0 24 24 124 47.5961538461538 0 0 1057.69230769231 1.00000000004042
+12 0 1 0 0 24 24 128 47.5961538461538 0 0 1100 1.00000000003451
+12 0 1 0 0 24 24 132 47.5961538461538 0 0 1142.30769230769 1.00000000003155
+12 0 1 0 0 24 24 136 47.5961538461538 0 0 1184.61538461538 1.00000000002686
+12 0 1 0 0 24 24 140 47.5961538461538 0 0 1226.92307692308 1.00000000002457
+
+
+# iteration 12
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+12 0 2 0 0 24 24 18 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.00000000001153
+12 0 2 0 0 24 24 20 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.00000000000487
+12 0 2 0 0 24 24 22 47.5961538461538 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.00000000000026
+12 0 2 0 0 24 24 24 47.5961538461538 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1
+12 0 2 0 0 24 24 26 47.5961538461538 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.00000000000026
+12 0 2 0 0 24 24 28 47.5961538461538 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.00000000000487
+12 0 2 0 0 24 24 30 47.5961538461538 7.105427357601e-15 7.105427357601e-15 63.4615384615385 1.00000000001153
+12 0 2 0 0 24 24 32 47.5961538461538 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.00000000001981
+12 0 2 0 0 24 24 34 47.5961538461538 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.00000000002982
+12 0 2 0 0 24 24 36 47.5961538461538 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.00000000004049
+12 0 2 0 0 24 24 38 47.5961538461538 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.00000000005246
+12 0 2 0 0 24 24 40 47.5961538461538 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.00000000006853
+12 0 2 0 0 24 24 42 47.5961538461538 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.00000000008332
+12 0 2 0 0 24 24 44 47.5961538461538 7.105427357601e-15 7.105427357601e-15 211.538461538462 1.0000000000917
+12 0 2 0 0 24 24 46 47.5961538461538 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.00000000010801
+12 0 2 0 0 24 24 48 47.5961538461538 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.00000000011917
+12 0 2 0 0 24 24 50 47.5961538461538 7.105427357601e-15 7.105427357601e-15 275 1.00000000012908
+12 0 2 0 0 24 24 52 47.5961538461538 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.00000000013996
+12 0 2 0 0 24 24 54 47.5961538461538 7.105427357601e-15 7.105427357601e-15 317.307692307692 1.00000000014537
+12 0 2 0 0 24 24 56 47.5961538461538 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.00000000015639
+12 0 2 0 0 24 24 58 47.5961538461538 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.00000000015574
+12 0 2 0 0 24 24 60 47.5961538461538 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.00000000016079
+12 0 2 0 0 24 24 62 47.5961538461538 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.00000000015657
+12 0 2 0 0 24 24 64 47.5961538461538 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.0000000003061
+12 0 2 0 0 24 24 66 47.5961538461538 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.00000000022826
+12 0 2 0 0 24 24 68 47.5961538461538 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.00000000014976
+12 0 2 0 0 24 24 70 47.5961538461538 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.00000000014831
+12 0 2 0 0 24 24 72 47.5961538461538 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.00000000014654
+12 0 2 0 0 24 24 74 47.5961538461538 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.00000000014372
+12 0 2 0 0 24 24 76 47.5961538461538 7.105427357601e-15 7.105427357601e-15 550 1.00000000014028
+12 0 2 0 0 24 24 78 47.5961538461538 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.0000000001365
+12 0 2 0 0 24 24 80 47.5961538461538 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.0000000001319
+12 0 2 0 0 24 24 82 47.5961538461538 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.00000000012716
+
+
+# iteration 16
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 0 0 0 24 24 0 63.4615384615385 0 0 -253.846153846154 1.00000000021205
+16 0 0 0 0 24 24 8 63.4615384615385 0 0 -169.230769230769 1.00000000012181
+16 0 0 0 0 24 24 16 63.4615384615385 0 0 -84.6153846153846 1.00000000003523
+16 0 0 0 0 24 24 24 63.4615384615385 0 0 0 1
+16 0 0 0 0 24 24 32 63.4615384615385 0 0 84.6153846153846 1.00000000003523
+16 0 0 0 0 24 24 40 63.4615384615385 0 0 169.230769230769 1.00000000012181
+16 0 0 0 0 24 24 48 63.4615384615385 0 0 253.846153846154 1.00000000021205
+16 0 0 0 0 24 24 56 63.4615384615385 0 0 338.461538461539 1.00000000027848
+16 0 0 0 0 24 24 64 63.4615384615385 0 0 423.076923076923 1.00000000053502
+16 0 0 0 0 24 24 72 63.4615384615385 0 0 507.692307692308 1.00000000026074
+16 0 0 0 0 24 24 80 63.4615384615385 0 0 592.307692307692 1.00000000023477
+16 0 0 0 0 24 24 88 63.4615384615385 0 0 676.923076923077 1.0000000001963
+16 0 0 0 0 24 24 96 63.4615384615385 0 0 761.538461538462 1.00000000016014
+16 0 0 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 1.00000000054817
+16 0 0 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 1.00000000009982
+16 0 0 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 1.00000000007867
+16 0 0 0 0 24 24 128 63.4615384615385 0 0 1100 1.00000000006137
+16 0 0 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 1.00000000004778
+16 0 0 0 0 24 24 144 63.4615384615385 0 0 1269.23076923077 1.00000000003704
+16 0 0 0 0 24 24 152 63.4615384615385 0 0 1353.84615384615 1.00000000002875
+16 0 0 0 0 24 24 160 63.4615384615385 0 0 1438.46153846154 1.0000000000223
+16 0 0 0 0 24 24 168 63.4615384615385 0 0 1523.07692307692 1.00000000001722
+16 0 0 0 0 24 24 176 63.4615384615385 0 0 1607.69230769231 1.00000000001312
+16 0 0 0 0 24 24 184 63.4615384615385 0 0 1692.30769230769 1.00000000000874
+16 0 0 0 0 24 24 192 63.4615384615385 0 0 1776.92307692308 1.00000000000264
+16 0 0 0 0 24 24 200 63.4615384615385 0 0 1861.53846153846 1.00000000025742
+16 0 0 0 0 24 24 208 63.4615384615385 0 0 1946.15384615385 1.00000000241257
+16 0 0 0 0 24 24 216 63.4615384615385 0 0 2030.76923076923 1
+16 0 0 0 0 24 24 224 63.4615384615385 0 0 2115.38461538462 1
+16 0 0 0 0 24 24 232 63.4615384615385 0 0 2200 1
+
+
+# iteration 16
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 1 0 0 24 24 12 63.4615384615385 0 0 -126.923076923077 1.00000000007231
+16 0 1 0 0 24 24 16 63.4615384615385 0 0 -84.6153846153846 1.00000000003523
+16 0 1 0 0 24 24 20 63.4615384615385 0 0 -42.3076923076923 1.00000000000839
+16 0 1 0 0 24 24 24 63.4615384615385 0 0 0 1
+16 0 1 0 0 24 24 28 63.4615384615385 0 0 42.3076923076923 1.00000000000839
+16 0 1 0 0 24 24 32 63.4615384615385 0 0 84.6153846153846 1.00000000003523
+16 0 1 0 0 24 24 36 63.4615384615385 0 0 126.923076923077 1.00000000007231
+16 0 1 0 0 24 24 40 63.4615384615385 0 0 169.230769230769 1.00000000012181
+16 0 1 0 0 24 24 44 63.4615384615385 0 0 211.538461538462 1.00000000016306
+16 0 1 0 0 24 24 48 63.4615384615385 0 0 253.846153846154 1.00000000021205
+16 0 1 0 0 24 24 52 63.4615384615385 0 0 296.153846153846 1.00000000024879
+16 0 1 0 0 24 24 56 63.4615384615385 0 0 338.461538461538 1.00000000027848
+16 0 1 0 0 24 24 60 63.4615384615385 0 0 380.769230769231 1.00000000028573
+16 0 1 0 0 24 24 64 63.4615384615385 0 0 423.076923076923 1.00000000053502
+16 0 1 0 0 24 24 68 63.4615384615385 0 0 465.384615384615 1.00000000026662
+16 0 1 0 0 24 24 72 63.4615384615385 0 0 507.692307692308 1.00000000026074
+16 0 1 0 0 24 24 76 63.4615384615385 0 0 550 1.00000000024959
+16 0 1 0 0 24 24 80 63.4615384615385 0 0 592.307692307692 1.00000000023477
+16 0 1 0 0 24 24 84 63.4615384615385 0 0 634.615384615385 1.00000000021621
+16 0 1 0 0 24 24 88 63.4615384615385 0 0 676.923076923077 1.0000000001963
+16 0 1 0 0 24 24 92 63.4615384615385 0 0 719.230769230769 1.00000000017813
+16 0 1 0 0 24 24 96 63.4615384615385 0 0 761.538461538462 1.00000000016014
+16 0 1 0 0 24 24 100 63.4615384615385 0 0 803.846153846154 1.0000000001164
+16 0 1 0 0 24 24 104 63.4615384615385 0 0 846.153846153846 1.00000000054817
+16 0 1 0 0 24 24 108 63.4615384615385 0 0 888.461538461538 1.00000000033316
+16 0 1 0 0 24 24 112 63.4615384615385 0 0 930.769230769231 1.00000000009982
+16 0 1 0 0 24 24 116 63.4615384615385 0 0 973.076923076923 1.00000000009147
+16 0 1 0 0 24 24 120 63.4615384615385 0 0 1015.38461538462 1.00000000007867
+16 0 1 0 0 24 24 124 63.4615384615385 0 0 1057.69230769231 1.0000000000719
+16 0 1 0 0 24 24 128 63.4615384615385 0 0 1100 1.00000000006137
+16 0 1 0 0 24 24 132 63.4615384615385 0 0 1142.30769230769 1.00000000005611
+16 0 1 0 0 24 24 136 63.4615384615385 0 0 1184.61538461538 1.00000000004778
+16 0 1 0 0 24 24 140 63.4615384615385 0 0 1226.92307692308 1.00000000004369
+
+
+# iteration 16
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+16 0 2 0 0 24 24 18 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -63.4615384615385 1.00000000002055
+16 0 2 0 0 24 24 20 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -42.3076923076923 1.00000000000839
+16 0 2 0 0 24 24 22 63.4615384615385 7.105427357601e-15 7.105427357601e-15 -21.1538461538461 1.00000000000057
+16 0 2 0 0 24 24 24 63.4615384615385 7.105427357601e-15 7.105427357601e-15 7.105427357601e-15 1
+16 0 2 0 0 24 24 26 63.4615384615385 7.105427357601e-15 7.105427357601e-15 21.1538461538462 1.00000000000057
+16 0 2 0 0 24 24 28 63.4615384615385 7.105427357601e-15 7.105427357601e-15 42.3076923076923 1.00000000000839
+16 0 2 0 0 24 24 30 63.4615384615385 7.105427357601e-15 7.105427357601e-15 63.4615384615385 1.00000000002055
+16 0 2 0 0 24 24 32 63.4615384615385 7.105427357601e-15 7.105427357601e-15 84.6153846153846 1.00000000003523
+16 0 2 0 0 24 24 34 63.4615384615385 7.105427357601e-15 7.105427357601e-15 105.769230769231 1.00000000005286
+16 0 2 0 0 24 24 36 63.4615384615385 7.105427357601e-15 7.105427357601e-15 126.923076923077 1.00000000007231
+16 0 2 0 0 24 24 38 63.4615384615385 7.105427357601e-15 7.105427357601e-15 148.076923076923 1.00000000009375
+16 0 2 0 0 24 24 40 63.4615384615385 7.105427357601e-15 7.105427357601e-15 169.230769230769 1.00000000012181
+16 0 2 0 0 24 24 42 63.4615384615385 7.105427357601e-15 7.105427357601e-15 190.384615384615 1.00000000014819
+16 0 2 0 0 24 24 44 63.4615384615385 7.105427357601e-15 7.105427357601e-15 211.538461538462 1.00000000016306
+16 0 2 0 0 24 24 46 63.4615384615385 7.105427357601e-15 7.105427357601e-15 232.692307692308 1.00000000019218
+16 0 2 0 0 24 24 48 63.4615384615385 7.105427357601e-15 7.105427357601e-15 253.846153846154 1.00000000021205
+16 0 2 0 0 24 24 50 63.4615384615385 7.105427357601e-15 7.105427357601e-15 275 1.00000000022975
+16 0 2 0 0 24 24 52 63.4615384615385 7.105427357601e-15 7.105427357601e-15 296.153846153846 1.00000000024879
+16 0 2 0 0 24 24 54 63.4615384615385 7.105427357601e-15 7.105427357601e-15 317.307692307692 1.00000000025804
+16 0 2 0 0 24 24 56 63.4615384615385 7.105427357601e-15 7.105427357601e-15 338.461538461538 1.00000000027848
+16 0 2 0 0 24 24 58 63.4615384615385 7.105427357601e-15 7.105427357601e-15 359.615384615385 1.00000000027791
+16 0 2 0 0 24 24 60 63.4615384615385 7.105427357601e-15 7.105427357601e-15 380.769230769231 1.00000000028573
+16 0 2 0 0 24 24 62 63.4615384615385 7.105427357601e-15 7.105427357601e-15 401.923076923077 1.0000000002795
+16 0 2 0 0 24 24 64 63.4615384615385 7.105427357601e-15 7.105427357601e-15 423.076923076923 1.00000000053502
+16 0 2 0 0 24 24 66 63.4615384615385 7.105427357601e-15 7.105427357601e-15 444.230769230769 1.00000000040169
+16 0 2 0 0 24 24 68 63.4615384615385 7.105427357601e-15 7.105427357601e-15 465.384615384615 1.00000000026662
+16 0 2 0 0 24 24 70 63.4615384615385 7.105427357601e-15 7.105427357601e-15 486.538461538462 1.00000000026397
+16 0 2 0 0 24 24 72 63.4615384615385 7.105427357601e-15 7.105427357601e-15 507.692307692308 1.00000000026074
+16 0 2 0 0 24 24 74 63.4615384615385 7.105427357601e-15 7.105427357601e-15 528.846153846154 1.0000000002557
+16 0 2 0 0 24 24 76 63.4615384615385 7.105427357601e-15 7.105427357601e-15 550 1.00000000024959
+16 0 2 0 0 24 24 78 63.4615384615385 7.105427357601e-15 7.105427357601e-15 571.153846153846 1.0000000002429
+16 0 2 0 0 24 24 80 63.4615384615385 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.00000000023477
+16 0 2 0 0 24 24 82 63.4615384615385 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.00000000022639
+
+
+# iteration 20
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
+20 0 1 0 0 24 24 12 79.3269230769231 0 0 -126.923076923077 1.00000000011493
+20 0 1 0 0 24 24 16 79.3269230769231 0 0 -84.6153846153846 1.0000000000561
+20 0 1 0 0 24 24 20 79.3269230769231 0 0 -42.3076923076923 1.00000000001339
+20 0 1 0 0 24 24 24 79.3269230769231 0 0 0 1
+20 0 1 0 0 24 24 28 79.3269230769231 0 0 42.3076923076923 1.00000000001339
+20 0 1 0 0 24 24 32 79.3269230769231 0 0 84.6153846153846 1.0000000000561
+20 0 1 0 0 24 24 36 79.3269230769231 0 0 126.923076923077 1.00000000011493
+20 0 1 0 0 24 24 40 79.3269230769231 0 0 169.230769230769 1.00000000019366
+20 0 1 0 0 24 24 44 79.3269230769231 0 0 211.538461538462 1.00000000025904
+20 0 1 0 0 24 24 48 79.3269230769231 0 0 253.846153846154 1.0000000003317
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+20 0 1 0 0 24 24 140 79.3269230769231 0 0 1226.92307692308 1.00000000006833
+
+
+# iteration 20
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 2 0 0 24 24 80 79.3269230769231 7.105427357601e-15 7.105427357601e-15 592.307692307692 1.00000000036709
+20 0 2 0 0 24 24 82 79.3269230769231 7.105427357601e-15 7.105427357601e-15 613.461538461538 1.00000000035398
+
+
+# iteration 20
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+20 0 3 0 0 24 24 53 79.3269230769231 7.105427357601e-15 7.105427357601e-15 306.730769230769 1.00000000039604
+
+
+# iteration 24
+# refinement level 0 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+24 0 1 0 0 24 24 140 95.1923076923077 0 0 1226.92307692308 1.00000000009846
+
+
+# iteration 24
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 24
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
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+24 0 3 0 0 24 24 53 95.1923076923077 7.105427357601e-15 7.105427357601e-15 306.730769230769 1.00000000057102
+
+
+# iteration 28
+# refinement level 1 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 2 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
+# iteration 28
+# refinement level 3 multigrid level 0 map 0 component 0 time level 0
+# column format: it tl rl c ml ix iy iz time x y z data
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+
+
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz_maximum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz_maximum.xg
new file mode 100644
index 000000000..a7ee85201
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz_maximum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::w_lorentz
+"w_lorentz v time
+0.0000000000000e+00 1.0000000000000e+00
+7.9326923076923e+00 1.0000000000088e+00
+1.5865384615385e+01 1.0000000001412e+00
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+7.5360576923077e+01 1.0000000004179e+00
+7.9326923076923e+01 1.0000000034968e+00
+8.3293269230769e+01 1.0000000005104e+00
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+9.1225961538462e+01 1.0000000006119e+00
+9.5192307692308e+01 1.0000000061330e+00
+9.9158653846154e+01 1.0000000007226e+00
+1.0312500000000e+02 1.0000000013613e+00
+1.0709134615385e+02 1.0000000008426e+00
+1.1105769230769e+02 1.0000000068192e+00
+1.1502403846154e+02 1.0000000009755e+00
+1.1899038461538e+02 1.0000000017877e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz_minimum.xg b/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz_minimum.xg
new file mode 100644
index 000000000..139802707
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz_minimum.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::w_lorentz
+"w_lorentz v time
+0.0000000000000e+00 1.0000000000000e+00
+7.9326923076923e+00 1.0000000000000e+00
+1.5865384615385e+01 1.0000000000000e+00
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+7.1394230769231e+01 1.0000000000000e+00
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+7.9326923076923e+01 1.0000000000000e+00
+8.3293269230769e+01 1.0000000000000e+00
+8.7259615384615e+01 1.0000000000000e+00
+9.1225961538462e+01 1.0000000000000e+00
+9.5192307692308e+01 1.0000000000000e+00
+9.9158653846154e+01 1.0000000000000e+00
+1.0312500000000e+02 1.0000000000000e+00
+1.0709134615385e+02 1.0000000000000e+00
+1.1105769230769e+02 1.0000000000000e+00
+1.1502403846154e+02 1.0000000000000e+00
+1.1899038461538e+02 1.0000000000000e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz_norm1.xg b/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz_norm1.xg
new file mode 100644
index 000000000..7dfaaf96f
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz_norm1.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::w_lorentz
+"w_lorentz v time
+0.0000000000000e+00 1.0000000000000e+00
+7.9326923076923e+00 1.0000000000036e+00
+1.5865384615385e+01 1.0000000000068e+00
+2.3798076923077e+01 1.0000000000330e+00
+3.1730769230769e+01 1.0000000001403e+00
+3.9663461538462e+01 1.0000000000919e+00
+4.7596153846154e+01 1.0000000000634e+00
+5.5528846153846e+01 1.0000000001803e+00
+6.3461538461538e+01 1.0000000005608e+00
+7.1394230769231e+01 1.0000000002982e+00
+7.5360576923077e+01 1.0000000002743e+00
+7.9326923076923e+01 1.0000000001771e+00
+8.3293269230769e+01 1.0000000003364e+00
+8.7259615384615e+01 1.0000000004463e+00
+9.1225961538462e+01 1.0000000004049e+00
+9.5192307692308e+01 1.0000000012612e+00
+9.9158653846154e+01 1.0000000004797e+00
+1.0312500000000e+02 1.0000000006242e+00
+1.0709134615385e+02 1.0000000005608e+00
+1.1105769230769e+02 1.0000000003482e+00
+1.1502403846154e+02 1.0000000006481e+00
+1.1899038461538e+02 1.0000000008317e+00
diff --git a/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz_norm2.xg b/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz_norm2.xg
new file mode 100644
index 000000000..1e1045c6e
--- /dev/null
+++ b/CarpetExtra/CarpetRegridTest/test/regrid/w_lorentz_norm2.xg
@@ -0,0 +1,27 @@
+"Parameter file /home/eschnett/Calpha/Cactus/arrangements/CarpetExtra/CarpetRegridTest/test/regrid.par
+"Created Jun 04 2004 14:22:12
+"x-label time
+"y-label WHISKY::w_lorentz
+"w_lorentz v time
+0.0000000000000e+00 1.0000000000000e+00
+7.9326923076923e+00 1.0000000000036e+00
+1.5865384615385e+01 1.0000000000069e+00
+2.3798076923077e+01 1.0000000000330e+00
+3.1730769230769e+01 1.0000000001403e+00
+3.9663461538462e+01 1.0000000000919e+00
+4.7596153846154e+01 1.0000000000634e+00
+5.5528846153846e+01 1.0000000001803e+00
+6.3461538461538e+01 1.0000000005608e+00
+7.1394230769231e+01 1.0000000002982e+00
+7.5360576923077e+01 1.0000000002743e+00
+7.9326923076923e+01 1.0000000001771e+00
+8.3293269230769e+01 1.0000000003364e+00
+8.7259615384615e+01 1.0000000004463e+00
+9.1225961538462e+01 1.0000000004049e+00
+9.5192307692308e+01 1.0000000012612e+00
+9.9158653846154e+01 1.0000000004797e+00
+1.0312500000000e+02 1.0000000006242e+00
+1.0709134615385e+02 1.0000000005608e+00
+1.1105769230769e+02 1.0000000003482e+00
+1.1502403846154e+02 1.0000000006481e+00
+1.1899038461538e+02 1.0000000008318e+00
diff --git a/CarpetExtra/FOWaveToyF77/COPYRIGHT b/CarpetExtra/FOWaveToyF77/COPYRIGHT
new file mode 100644
index 000000000..57b2896b0
--- /dev/null
+++ b/CarpetExtra/FOWaveToyF77/COPYRIGHT
@@ -0,0 +1,352 @@
+
+
+This thorn is (c) Copyright the authors listed in the sources files. This
+thorn is distributed under the GNU GPL with the specific exception that
+the GNU GPL does not migrate to code linking to or using infrastructure
+from this thorn.
+
+- The Cactus Team <cactus@cactuscode.org>
+
+**************************************************************************
+
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 675 Mass Ave, Cambridge, MA 02139, USA
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
+
+ The licenses for most software are designed to take away your
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+software--to make sure the software is free for all its users. This
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+Foundation's software and to any other program whose authors commit to
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+ TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
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+ Appendix: How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
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+
+ This program is free software; you can redistribute it and/or modify
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+ (at your option) any later version.
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+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
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+ Gnomovision version 69, Copyright (C) 19yy name of author
+ Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+ This is free software, and you are welcome to redistribute it
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+
+The hypothetical commands `show w' and `show c' should show the appropriate
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+
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+ `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+ <signature of Ty Coon>, 1 April 1989
+ Ty Coon, President of Vice
+
+This General Public License does not permit incorporating your program into
+proprietary programs. If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library. If this is what you want to do, use the GNU Library General
+Public License instead of this License.
+
+
diff --git a/CarpetExtra/FOWaveToyF77/README b/CarpetExtra/FOWaveToyF77/README
new file mode 100644
index 000000000..bd23c686c
--- /dev/null
+++ b/CarpetExtra/FOWaveToyF77/README
@@ -0,0 +1,10 @@
+Cactus Code Thorn FOWaveToyF77
+Authors : Scott Hawley
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/FOWaveToyF77/README,v 1.1.1.1 2002/02/18 11:25:34 shawley Exp $
+--------------------------------------------------------------------------
+
+1. Purpose of the thorn
+
+This thorn solves the 3D wave equation, written as a first-order system
+
+
diff --git a/CarpetExtra/FOWaveToyF77/configuration.ccl b/CarpetExtra/FOWaveToyF77/configuration.ccl
new file mode 100644
index 000000000..25de6828f
--- /dev/null
+++ b/CarpetExtra/FOWaveToyF77/configuration.ccl
@@ -0,0 +1,4 @@
+# Configuration definition for thorn FOWaveToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/FOWaveToyF77/configuration.ccl,v 1.2 2004/04/18 14:10:30 schnetter Exp $
+
+REQUIRES CartGrid3D
diff --git a/CarpetExtra/FOWaveToyF77/interface.ccl b/CarpetExtra/FOWaveToyF77/interface.ccl
new file mode 100644
index 000000000..6439786d2
--- /dev/null
+++ b/CarpetExtra/FOWaveToyF77/interface.ccl
@@ -0,0 +1,27 @@
+# Interface definition for thorn WaveToyF77
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/FOWaveToyF77/interface.ccl,v 1.10 2004/05/21 17:43:57 schnetter Exp $
+
+implements: FOwavetoy
+inherits: grid idfoscalarwave
+
+USES INCLUDE: Symmetry.h
+
+public:
+
+CCTK_REAL scalarevolve type=GF timelevels=3
+{
+ phi
+} "The evolved scalar field phi"
+
+CCTK_REAL scalarevolve_derivs type=GF timelevels=3
+{
+ pi,
+ phix,
+ phiy,
+ phiz,
+} "Time and space derivatives of phi"
+
+CCTK_INT FUNCTION Boundary_SelectGroupForBC(CCTK_POINTER_TO_CONST IN GH, \
+ CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, \
+ CCTK_STRING IN group_name, CCTK_STRING IN bc_name)
+REQUIRES FUNCTION Boundary_SelectGroupForBC
diff --git a/CarpetExtra/FOWaveToyF77/par/fowavetoyf77_excision.par b/CarpetExtra/FOWaveToyF77/par/fowavetoyf77_excision.par
new file mode 100644
index 000000000..0a2128683
--- /dev/null
+++ b/CarpetExtra/FOWaveToyF77/par/fowavetoyf77_excision.par
@@ -0,0 +1,36 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/FOWaveToyF77/par/fowavetoyf77_excision.par,v 1.4 2004/03/23 12:02:09 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time CartGrid3D Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDFOScalarWave FOWaveToyF77"
+
+Cactus::terminate = time
+Cactus::cctk_final_time = 10.0
+
+Time::dtfac = 0.5
+
+driver::global_nx = 35
+driver::global_ny = 35
+driver::global_nz = 35
+
+Carpet::max_refinement_levels = 4
+
+grid::type = byspacing
+grid::dxyz = 0.0625
+grid::avoid_origin = no
+
+IO::out_dir = "fowavetoyf77_excision"
+
+IOBasic::outinfo_every = 8
+IOBasic::outinfo_vars = "fowavetoy::phi"
+
+IOBasic::outScalar_every = 8
+IOBasic::outScalar_vars = "fowavetoy::scalarevolve fowavetoy::scalarevolve_derivs"
+IOBasic::outScalar_style = gnuplot
+
+IOASCII::out1D_every = 8
+IOASCII::out1D_vars = "fowavetoy::scalarevolve fowavetoy::scalarevolve_derivs"
+
+FOWaveToyF77::bound = Radiation
+FOWaveToyF77::excision_bound = 1/r
+FOWaveToyF77::excision_radius = 0.25
+
+IDFOScalarWave::initial_data = 1/r
diff --git a/CarpetExtra/FOWaveToyF77/param.ccl b/CarpetExtra/FOWaveToyF77/param.ccl
new file mode 100644
index 000000000..9204f6329
--- /dev/null
+++ b/CarpetExtra/FOWaveToyF77/param.ccl
@@ -0,0 +1,25 @@
+# Parameter definitions for thorn WaveToyF77
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/FOWaveToyF77/param.ccl,v 1.5 2003/07/08 23:12:45 schnetter Exp $
+
+private:
+
+STRING bound "Type of boundary condition to use"
+{
+ ".*" :: "Must be a registered boundary condition"
+} "Zero"
+
+INT bound_width "Number of boundary points"
+{
+ 1:* :: ""
+} 1
+
+KEYWORD excision_bound "Type of excision boundary condition to use"
+{
+ "1/r" :: "use 1/r Dirichlet data"
+ "none" :: "no excision"
+} "none"
+
+REAL excision_radius "Radius of excision region"
+{
+ 0:* :: "must be nonnegative"
+} 1.0
diff --git a/CarpetExtra/FOWaveToyF77/schedule.ccl b/CarpetExtra/FOWaveToyF77/schedule.ccl
new file mode 100644
index 000000000..a3cd168c0
--- /dev/null
+++ b/CarpetExtra/FOWaveToyF77/schedule.ccl
@@ -0,0 +1,56 @@
+# Schedule definitions for thorn FOWaveToy77
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/FOWaveToyF77/schedule.ccl,v 1.10 2003/11/05 16:18:39 schnetter Exp $
+
+STORAGE: scalarevolve[3] scalarevolve_derivs[3]
+
+schedule FOWaveToyF77_Startup at STARTUP
+{
+ LANG: Fortran
+} "Register banner"
+
+schedule FOWaveToyF77_InitSymBound at BASEGRID
+{
+ LANG: Fortran
+ OPTIONS: GLOBAL
+} "Schedule symmetries"
+
+
+
+schedule FOWaveToyF77_Boundaries as FOWaveToy_Boundaries at INITIAL after FOWaveToy_InitialData
+{
+ LANG: Fortran
+ SYNC: scalarevolve scalarevolve_derivs
+} "Select boundary conditions of 3D wave equation"
+
+schedule group ApplyBCs as FOWaveToy_ApplyBCs at INITIAL after FOWaveToy_Boundaries
+{
+} "Apply boundary conditions of 3D wave equation"
+
+
+
+schedule FOWaveToyF77_Evolution as FOWaveToy_Evolution at EVOL
+{
+ LANG: Fortran
+} "Evolution of 3D wave equation"
+
+schedule FOWaveToyF77_Boundaries as FOWaveToy_Boundaries at EVOL after FOWaveToy_Evolution
+{
+ LANG: Fortran
+ SYNC: scalarevolve scalarevolve_derivs
+} "Select boundary conditions of 3D wave equation"
+
+schedule group ApplyBCs as FOWaveToy_ApplyBCs at EVOL after FOWaveToy_Boundaries
+{
+} "Apply boundary conditions of 3D wave equation"
+
+
+
+schedule FOWaveToyF77_Boundaries as FOWaveToy_Boundaries at POSTRESTRICT
+{
+ LANG: Fortran
+ SYNC: scalarevolve scalarevolve_derivs
+} "Select boundary conditions of 3D wave equation"
+
+schedule group ApplyBCs as FOWaveToy_ApplyBCs at POSTRESTRICT after FOWaveToy_Boundaries
+{
+} "Apply boundary conditions of 3D wave equation"
diff --git a/CarpetExtra/FOWaveToyF77/src/FOWaveToy.F77 b/CarpetExtra/FOWaveToyF77/src/FOWaveToy.F77
new file mode 100644
index 000000000..bc2a17549
--- /dev/null
+++ b/CarpetExtra/FOWaveToyF77/src/FOWaveToy.F77
@@ -0,0 +1,196 @@
+c -*-Fortran-*-
+
+ /*@@
+ @file FOWaveToy.F77
+ @date
+ @author Scott Hawley, based on WaveToy by Tom Goodale, Erik Schnetter
+ @desc
+ Evolution routines for the wave equation solver
+ written as a first order system.
+ The field phi itself does not enter into the evolution,
+ system but we carry it along using pi = partial phi / partial t.
+ @enddesc
+ @@*/
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+
+
+ /*@@
+ @routine FOWaveToyF77_Evolution
+ @date
+ @author Scott Hawley, using code of Tom Goodale, Erik Schnetter
+ @desc
+ Evolution for the wave equation as a 1st-order system
+ @enddesc
+ @calls CCTK_SyncGroup
+ @calledby
+ @history
+
+ @endhistory
+
+@@*/
+
+ subroutine FOWaveToyF77_Evolution (CCTK_ARGUMENTS)
+
+ implicit none
+
+c Declare variables in argument list
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ INTEGER i,j,k
+ INTEGER istart(3), iend(3)
+ INTEGER d
+ CCTK_REAL dx,dy,dz,dt
+ CCTK_REAL dxi,dyi,dzi
+
+c call CCTK_INFO ("WaveToyF77_Evolution")
+
+c Set up shorthands
+c -----------------
+ dx = 2*CCTK_DELTA_SPACE(1)
+ dy = 2*CCTK_DELTA_SPACE(2)
+ dz = 2*CCTK_DELTA_SPACE(3)
+ dt = 2*CCTK_DELTA_TIME
+
+ dxi = 1/dx
+ dyi = 1/dy
+ dzi = 1/dz
+
+ do d = 1, 3
+ if (cctk_bbox(2*d-1).eq.0) then
+ istart(d) = 1+cctk_nghostzones(d)
+ else
+ istart(d) = 1+bound_width
+ end if
+ if (cctk_bbox(2*d).eq.0) then
+ iend(d) = cctk_lsh(d)-cctk_nghostzones(d)
+ else
+ iend(d) = cctk_lsh(d)-bound_width
+ end if
+ end do
+
+c Do the evolution
+c ----------------
+ do k = istart(3), iend(3)
+ do j = istart(2), iend(2)
+ do i = istart(1), iend(1)
+
+ pi(i,j,k) = pi_p_p(i,j,k) + dt * (
+ $ (phix_p(i+1,j,k) - phix_p(i-1,j,k))*dxi
+ $ + (phiy_p(i,j+1,k) - phiy_p(i,j-1,k))*dyi
+ $ + (phiz_p(i,j,k+1) - phiz_p(i,j,k-1))*dzi
+ $ )
+
+ phix(i,j,k) = phix_p_p(i,j,k) + dt * dxi * (
+ $ pi_p(i+1,j,k) - pi_p(i-1,j,k) )
+
+ phiy(i,j,k) = phiy_p_p(i,j,k) + dt * dyi * (
+ $ pi_p(i,j+1,k) - pi_p(i,j-1,k) )
+
+ phiz(i,j,k) = phiz_p_p(i,j,k) + dt * dzi * (
+ $ pi_p(i,j,k+1) - pi_p(i,j,k-1) )
+
+ phi(i,j,k) = phi_p_p(i,j,k) + 2*dt * pi_p(i,j,i)
+
+ end do
+ end do
+ end do
+
+ end
+
+
+
+ /*@@
+ @routine FOWaveToyF77_Boundaries
+ @date
+ @author Scott Hawley stealing from Tom Goodale, Erik Schnetter
+ @desc
+ Boundary conditions for the wave equation
+ @enddesc
+ @history
+
+ @endhistory
+
+@@*/
+
+ subroutine FOWaveToyF77_Boundaries (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_PARAMETERS
+ DECLARE_CCTK_FUNCTIONS
+
+c Local declarations
+ integer table
+ data table /-1/
+
+ character fbound*100
+ CCTK_INT fboundlen
+
+ integer i,j,k
+ CCTK_REAL spher3d_r
+
+ integer ierr
+ CCTK_REAL ri3
+
+c call CCTK_INFO ("FOWaveToyF77_Boundaries")
+
+c Apply the excision boundary condition
+c -------------------------------------
+ if (CCTK_EQUALS(excision_bound, "none")) then
+c do nothing
+ else if (CCTK_EQUALS(excision_bound, "1/r")) then
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+ spher3d_r = sqrt(x(i,j,k)**2 + y(i,j,k)**2 + z(i,j,k)**2)
+ if (spher3d_r .le. excision_radius) then
+ pi(i,j,k) = 0.0
+ phi(i,j,k) = 1.0 / spher3d_r
+ ri3 = phi(i,j,k)**3
+ phix(i,j,k) = - x(i,j,k) * ri3
+ phiy(i,j,k) = - y(i,j,k) * ri3
+ phiz(i,j,k) = - z(i,j,k) * ri3
+ end if
+ end do
+ end do
+ end do
+ else
+ call CCTK_WARN (0, "internal error")
+ end if
+
+c Apply the symmetry boundary conditions on any coordinate axes
+c -------------------------------------------------------------
+ call CartSymGN(ierr,cctkGH,"fowavetoy::scalarevolve")
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ call CartSymGN(ierr,cctkGH,"fowavetoy::scalarevolve_derivs")
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+
+c Apply the outer boundary conditions
+c -----------------------------------
+
+ if (table.eq.-1) then
+
+ call Util_TableCreateFromString (table, "LIMIT=0.0 SPEED=1.0")
+ if (table.lt.0) call CCTK_WARN (0, "internal error")
+
+ end if
+
+ call CCTK_FortranString (fboundlen, bound, fbound)
+ if (fboundlen.lt.0) call CCTK_WARN (0, "internal error")
+
+ ierr = Boundary_SelectGroupForBC (cctkGH, CCTK_ALL_FACES, bound_width,
+ $ table, "fowavetoy::scalarevolve", fbound)
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ ierr = Boundary_SelectGroupForBC (cctkGH, CCTK_ALL_FACES, bound_width,
+ $ table, "fowavetoy::scalarevolve_derivs", fbound)
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+
+ end
diff --git a/CarpetExtra/FOWaveToyF77/src/InitSymBound.F77 b/CarpetExtra/FOWaveToyF77/src/InitSymBound.F77
new file mode 100644
index 000000000..a64c3463c
--- /dev/null
+++ b/CarpetExtra/FOWaveToyF77/src/InitSymBound.F77
@@ -0,0 +1,53 @@
+c -*-Fortran-*-
+
+ /*@@
+ @file InitSymBound.F77
+ @date
+ @author Gabrielle Allen, Erik Schnetter
+ @desc
+ Sets the symmetries for Wave Toy
+ @enddesc
+ @@*/
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ /*@@
+ @routine FOWaveToyF77_InitSymBound
+ @date
+ @author Erik Schnetter
+ @desc
+ Sets the symmetries for Wave Toy
+ @enddesc
+ @calls
+ @calledby
+ @history
+
+ @endhistory
+
+@@*/
+
+ subroutine FOWaveToyF77_InitSymBound (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ INTEGER sym(3), symx(3), symy(3), symz(3)
+ DATA sym /+1, +1, +1/
+ DATA symx /-1, +1, +1/
+ DATA symy /+1, -1, +1/
+ DATA symz /+1, +1, -1/
+ INTEGER ierr
+
+ call SetCartSymVN(ierr, cctkGH, sym ,'fowavetoy::pi')
+ call SetCartSymVN(ierr, cctkGH, sym ,'fowavetoy::phi')
+ call SetCartSymVN(ierr, cctkGH, symx,'fowavetoy::phix')
+ call SetCartSymVN(ierr, cctkGH, symy,'fowavetoy::phiy')
+ call SetCartSymVN(ierr, cctkGH, symz,'fowavetoy::phiz')
+
+ end
diff --git a/CarpetExtra/FOWaveToyF77/src/Startup.F77 b/CarpetExtra/FOWaveToyF77/src/Startup.F77
new file mode 100644
index 000000000..99a2f000e
--- /dev/null
+++ b/CarpetExtra/FOWaveToyF77/src/Startup.F77
@@ -0,0 +1,22 @@
+c -*-Fortran-*-
+
+ /*@@
+ @file Startup.F77
+ @date
+ @author Gabrielle Allen
+ @desc
+ Register banner
+ @enddesc
+ @version $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/FOWaveToyF77/src/Startup.F77,v 1.2 2003/06/27 15:54:58 schnetter Exp $
+ @@*/
+
+#include "cctk.h"
+
+ subroutine FOWaveToyF77_Startup
+
+ implicit none
+ integer ierr
+
+ call CCTK_RegisterBanner(ierr, "FOWaveToyF77: Evolutions of a Scalar Field")
+
+ end
diff --git a/CarpetExtra/FOWaveToyF77/src/make.code.defn b/CarpetExtra/FOWaveToyF77/src/make.code.defn
new file mode 100644
index 000000000..1a6a444c1
--- /dev/null
+++ b/CarpetExtra/FOWaveToyF77/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn WaveToyF77 -*-Makefile-*-
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/FOWaveToyF77/src/make.code.defn,v 1.1.1.1 2002/02/18 11:25:34 shawley Exp $
+
+# Source files in this directory
+SRCS = InitSymBound.F77 FOWaveToy.F77 Startup.F77
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/CarpetExtra/HydroToy/README b/CarpetExtra/HydroToy/README
new file mode 100644
index 000000000..6608aa07d
--- /dev/null
+++ b/CarpetExtra/HydroToy/README
@@ -0,0 +1,7 @@
+Cactus Code Thorn HydroToy
+Authors : Erik Schnetter <schnetter@uni-tuebingen.de>
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/README,v 1.1 2001/03/18 22:37:09 eschnett Exp $
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
diff --git a/CarpetExtra/HydroToy/configuration.ccl b/CarpetExtra/HydroToy/configuration.ccl
new file mode 100644
index 000000000..2f55074f1
--- /dev/null
+++ b/CarpetExtra/HydroToy/configuration.ccl
@@ -0,0 +1,4 @@
+# Configuration definition for thorn Carpet/HydroToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/configuration.ccl,v 1.2 2004/04/18 14:10:30 schnetter Exp $
+
+REQUIRES Boundary Cart3d
diff --git a/CarpetExtra/HydroToy/interface.ccl b/CarpetExtra/HydroToy/interface.ccl
new file mode 100644
index 000000000..09e8bf099
--- /dev/null
+++ b/CarpetExtra/HydroToy/interface.ccl
@@ -0,0 +1,21 @@
+# Interface definition for thorn HydroToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/interface.ccl,v 1.3 2001/12/07 18:27:08 schnetter Exp $
+
+implements: hydrotoy
+inherits: boundary grid
+
+
+
+public:
+
+CCTK_REAL hydroevolve type=GF timelevels=3
+{
+ u vx vy vz
+} "The evolve hydro fields"
+
+private:
+
+CCTK_REAL hydrotemps type=GF
+{
+ u_i vx_i vy_i vz_i
+} "Intermediate vales for the integrator"
diff --git a/CarpetExtra/HydroToy/par/convtest.gnuplot b/CarpetExtra/HydroToy/par/convtest.gnuplot
new file mode 100644
index 000000000..15eb3716b
--- /dev/null
+++ b/CarpetExtra/HydroToy/par/convtest.gnuplot
@@ -0,0 +1,25 @@
+# initialise
+kx=0.222222222222222
+ky=0.151515151515152
+kz=0.222222222222222
+omega=sqrt(kx**2 + ky**2 + kz**2)
+
+
+
+# without refinement
+
+# solutions
+p "hydrotoy_periodic/u.zl" u ($8-1):($1==time&&$3==0?$9:0/0) w lp, "hydrotoy_periodic_coarse/u.zl" u (2*($8-1)):(2*$1==time&&$3==0?$9:0/0) w lp, cos((kz*(0.3*x-9) + omega*(0.15*time))*pi) w l
+
+# errors
+p "hydrotoy_periodic/u.zl" u ($8-1):($1==time&&$3==0?$9-cos((kz*(0.3*($8-1)-9) + omega*(0.15*time))*pi):0/0) w lp, "hydrotoy_periodic_coarse/u.zl" u (2*($8-1)):(2*$1==time&&$3==0?$9-cos((kz*(0.3*(2*($8-1))-9) + omega*(0.15*time))*pi):0/0) w lp
+
+
+
+# with refinement
+
+# solutions
+p "hydrotoy_periodic_rl2/u.zl" u ($8-2):($1==time&&$3==0?$9:0/0) w lp, "hydrotoy_periodic_coarse_rl2/u.zl" u (2*($8-2)):(2*$1==time&&$3==0?$9:0/0) w lp, cos((kz*(0.15*x-9) + omega*(0.075*time))*pi) w l
+
+# errors
+p "hydrotoy_periodic_rl2/u.zl" u ($8-2):($1==time&&$3==0?$9-cos((kz*(0.15*($8-2)-9) + omega*(0.075*time))*pi):0/0) w lp, "hydrotoy_periodic_coarse_rl2/u.zl" u (2*($8-2)):(2*$1==time&&$3==0?$9-cos((kz*(0.15*(2*($8-2))-9) + omega*(0.075*time))*pi):0/0) w lp
diff --git a/CarpetExtra/HydroToy/par/hydrotoy_periodic.par b/CarpetExtra/HydroToy/par/hydrotoy_periodic.par
new file mode 100644
index 000000000..19da43136
--- /dev/null
+++ b/CarpetExtra/HydroToy/par/hydrotoy_periodic.par
@@ -0,0 +1,58 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/par/hydrotoy_periodic.par,v 1.8 2004/03/23 12:00:04 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 120
+
+Time::dtfac = 0.5
+
+driver::global_nx = 34
+driver::global_ny = 48
+driver::global_nz = 64
+
+driver::ghost_size = 2
+
+grid::type = byrange
+grid::xmin = -5.1
+grid::ymin = -6.9
+grid::zmin = -9.3
+grid::xmax = 4.8
+grid::ymax = 7.2
+grid::zmax = 9.6
+grid::mode = periodic
+
+IO::out_dir = "hydrotoy_periodic"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "hydrotoy::hydroevolve grid::coordinates"
+
+IOFlexIO::out3D_every = 24
+IOFlexIO::out3D_vars = "hydrotoy::hydroevolve"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse.par b/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse.par
new file mode 100644
index 000000000..7a27a685e
--- /dev/null
+++ b/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse.par
@@ -0,0 +1,58 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse.par,v 1.7 2004/03/23 12:00:04 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 60
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "hydrotoy_periodic_coarse"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "hydrotoy::hydroevolve grid::coordinates"
+
+IOFlexIO::out3D_every = 12
+IOFlexIO::out3D_vars = "hydrotoy::hydroevolve"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse_rl2.par b/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse_rl2.par
new file mode 100644
index 000000000..fe9ac250a
--- /dev/null
+++ b/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse_rl2.par
@@ -0,0 +1,64 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse_rl2.par,v 1.8 2004/03/23 12:00:04 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 120
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 2
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "hydrotoy_periodic_coarse_rl2"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "hydrotoy::hydroevolve grid::coordinates"
+
+IOFlexIO::out3D_every = 24
+IOFlexIO::out3D_vars = "hydrotoy::hydroevolve"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse_rl3.par b/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse_rl3.par
new file mode 100644
index 000000000..4229b977f
--- /dev/null
+++ b/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse_rl3.par
@@ -0,0 +1,64 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/par/hydrotoy_periodic_coarse_rl3.par,v 1.8 2004/03/23 12:00:04 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 240
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 3
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "hydrotoy_periodic_coarse_rl3"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "hydrotoy::hydroevolve grid::coordinates"
+
+IOFlexIO::out3D_every = 48
+IOFlexIO::out3D_vars = "hydrotoy::hydroevolve"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/HydroToy/par/hydrotoy_periodic_rl2.par b/CarpetExtra/HydroToy/par/hydrotoy_periodic_rl2.par
new file mode 100644
index 000000000..f9612d03c
--- /dev/null
+++ b/CarpetExtra/HydroToy/par/hydrotoy_periodic_rl2.par
@@ -0,0 +1,64 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/par/hydrotoy_periodic_rl2.par,v 1.8 2004/03/23 12:00:04 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduc CarpetRegrid CarpetSlab IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 240
+
+Time::dtfac = 0.5
+
+driver::global_nx = 34
+driver::global_ny = 48
+driver::global_nz = 64
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 2
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -5.1
+grid::ymin = -6.9
+grid::zmin = -9.3
+grid::xmax = 4.8
+grid::ymax = 7.2
+grid::zmax = 9.6
+grid::mode = periodic
+
+IO::out_dir = "hydrotoy_periodic_rl2"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "hydrotoy::hydroevolve grid::coordinates"
+
+IOFlexIO::out3D_every = 48
+IOFlexIO::out3D_vars = "hydrotoy::hydroevolve"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/HydroToy/par/hydrotoy_periodic_rl3.par b/CarpetExtra/HydroToy/par/hydrotoy_periodic_rl3.par
new file mode 100644
index 000000000..a05ac4719
--- /dev/null
+++ b/CarpetExtra/HydroToy/par/hydrotoy_periodic_rl3.par
@@ -0,0 +1,64 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/par/hydrotoy_periodic_rl3.par,v 1.8 2004/03/23 12:00:04 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 480
+
+Time::dtfac = 0.5
+
+driver::global_nx = 34
+driver::global_ny = 48
+driver::global_nz = 64
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -5.1
+grid::ymin = -6.9
+grid::zmin = -9.3
+grid::xmax = 4.8
+grid::ymax = 7.2
+grid::zmax = 9.6
+grid::mode = periodic
+
+IO::out_dir = "hydrotoy_periodic_rl3"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "hydrotoy::hydroevolve grid::coordinates"
+
+IOFlexIO::out3D_every = 96
+IOFlexIO::out3D_vars = "hydrotoy::hydroevolve"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/HydroToy/param.ccl b/CarpetExtra/HydroToy/param.ccl
new file mode 100644
index 000000000..d27dbef12
--- /dev/null
+++ b/CarpetExtra/HydroToy/param.ccl
@@ -0,0 +1,19 @@
+# Parameter definitions for thorn HydroToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/param.ccl,v 1.3 2001/08/26 13:59:38 schnetter Exp $
+
+restricted:
+
+BOOLEAN hydrotoy_active "Activate or deactivate the HydroToy thorn"
+{
+} "yes"
+
+private:
+
+KEYWORD bound "Type of boundary condition to use"
+{
+ "none" :: "No boundary condition"
+ "flat" :: "Flat boundary condition"
+ "radiation" :: "Radiation boundary condition"
+ "robin" :: "Robin boundary condition"
+ "zero" :: "Zero boundary condition"
+} "zero"
diff --git a/CarpetExtra/HydroToy/schedule.ccl b/CarpetExtra/HydroToy/schedule.ccl
new file mode 100644
index 000000000..2a1e5d536
--- /dev/null
+++ b/CarpetExtra/HydroToy/schedule.ccl
@@ -0,0 +1,45 @@
+# Schedule definitions for thorn HydroToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/schedule.ccl,v 1.4 2003/11/05 16:18:39 schnetter Exp $
+
+if (hydrotoy_active) {
+
+
+
+STORAGE: hydroevolve[3]
+
+
+
+# Startup
+
+schedule HydroToy_Startup at STARTUP
+{
+ LANG: Fortran
+} "Register banner"
+
+schedule HydroToy_InitSymBound at BASEGRID
+{
+ LANG: Fortran
+ OPTIONS: global
+} "Schedule symmetries"
+
+
+
+# Euler Predictor-Corrector integration
+
+schedule HydroToy_EulerPredictor at EVOL
+{
+ LANG: Fortran
+ STORAGE: hydrotemps
+ SYNC: hydroevolve
+} "Euler predictor step"
+
+schedule HydroToy_EulerCorrector at EVOL after HydroToy_EulerPredictor
+{
+ LANG: Fortran
+ STORAGE: hydrotemps
+ SYNC: hydroevolve
+} "Euler corrector step"
+
+
+
+}
diff --git a/CarpetExtra/HydroToy/src/HydroToy.F77 b/CarpetExtra/HydroToy/src/HydroToy.F77
new file mode 100644
index 000000000..559f66497
--- /dev/null
+++ b/CarpetExtra/HydroToy/src/HydroToy.F77
@@ -0,0 +1,186 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/src/HydroToy.F77,v 1.7 2003/11/05 16:18:39 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+
+
+ subroutine HydroToy_EulerPredictor (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ integer i,j,k
+
+c Copy
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ u_i(i,j,k) = u_p(i,j,k)
+ vx_i(i,j,k) = vx_p(i,j,k)
+ vy_i(i,j,k) = vy_p(i,j,k)
+ vz_i(i,j,k) = vz_p(i,j,k)
+
+ end do
+ end do
+ end do
+
+c Evolve
+ call HydroToy_Step (CCTK_PASS_FTOF)
+
+c Apply boundaries
+ call HydroToy_Boundaries (CCTK_PASS_FTOF)
+
+ end
+
+
+
+ subroutine HydroToy_EulerCorrector (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ CCTK_REAL two, half
+ parameter (two=2, half=1/two)
+
+ integer i,j,k
+
+c Copy
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ u_i(i,j,k) = u(i,j,k)
+ vx_i(i,j,k) = vx(i,j,k)
+ vy_i(i,j,k) = vy(i,j,k)
+ vz_i(i,j,k) = vz(i,j,k)
+
+ end do
+ end do
+ end do
+
+c Evolve
+ call HydroToy_Step (CCTK_PASS_FTOF)
+
+c Average
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ u(i,j,k) = half * (u_p(i,j,k) + u(i,j,k))
+ vx(i,j,k) = half * (vx_p(i,j,k) + vx(i,j,k))
+ vy(i,j,k) = half * (vy_p(i,j,k) + vy(i,j,k))
+ vz(i,j,k) = half * (vz_p(i,j,k) + vz(i,j,k))
+
+ end do
+ end do
+ end do
+
+c Apply boundaries
+ call HydroToy_Boundaries (CCTK_PASS_FTOF)
+
+ end
+
+
+
+ subroutine HydroToy_Step (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ CCTK_REAL dx,dy,dz,dt
+ integer i,j,k
+
+ dx = CCTK_DELTA_SPACE(1)
+ dy = CCTK_DELTA_SPACE(2)
+ dz = CCTK_DELTA_SPACE(3)
+ dt = CCTK_DELTA_TIME
+
+c Evolve
+ do k=1+cctk_nghostzones(3),cctk_lsh(3)-cctk_nghostzones(3)
+ do j=1+cctk_nghostzones(2),cctk_lsh(2)-cctk_nghostzones(2)
+ do i=1+cctk_nghostzones(1),cctk_lsh(1)-cctk_nghostzones(1)
+
+ u(i,j,k) = u_i(i,j,k)
+ $ + dt * (vx_i(i+1,j,k) - vx_i(i-1,j,k)) / (2*dx)
+ $ + dt * (vy_i(i,j+1,k) - vy_i(i,j-1,k)) / (2*dy)
+ $ + dt * (vz_i(i,j,k+1) - vz_i(i,j,k-1)) / (2*dz)
+
+ vx(i,j,k) = vx_i(i,j,k)
+ $ + dt * (u_i(i+1,j,k) - u_i(i-1,j,k)) / (2*dx)
+ vy(i,j,k) = vy_i(i,j,k)
+ $ + dt * (u_i(i,j+1,k) - u_i(i,j-1,k)) / (2*dy)
+ vz(i,j,k) = vz_i(i,j,k)
+ $ + dt * (u_i(i,j,k+1) - u_i(i,j,k-1)) / (2*dz)
+
+ end do
+ end do
+ end do
+
+ end
+
+
+
+ subroutine HydroToy_Boundaries (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ CCTK_REAL zero, one
+ parameter (zero=0, one=1)
+
+ CCTK_REAL finf
+ parameter (finf=1)
+ integer npow
+ parameter (npow=1)
+
+ integer sw(3)
+ integer ierr
+
+ sw(1) = cctk_nghostzones(1)
+ sw(2) = cctk_nghostzones(2)
+ sw(3) = cctk_nghostzones(3)
+
+c Apply boundary condition
+ if (CCTK_EQUALS(bound, "flat")) then
+ call BndFlatGN (ierr, cctkGH, sw, "hydrotoy::hydroevolve")
+ else if (CCTK_EQUALS(bound, "zero")) then
+ call BndScalarGN (ierr, cctkGH, sw, zero,
+ $ "hydrotoy::hydroevolve")
+ else if (CCTK_EQUALS(bound, "radiation")) then
+ call BndRadiativeGN (ierr, cctkGH, sw, zero, one,
+ $ "hydrotoy::hydroevolve", "hydrotoy::hydroevolve")
+ else if (CCTK_EQUALS(bound, "robin")) then
+ call BndRobinGN (ierr, cctkGH, sw, finf, npow,
+ $ "hydrotoy::hydroevolve")
+ else if (CCTK_EQUALS(bound, "none")) then
+ ierr = 0
+ else
+ call CCTK_WARN (0, "internal error")
+ end if
+ if (ierr .lt. 0) then
+ call CCTK_WARN (0, "Error while applying boundary condition")
+ end if
+
+ call Cart3dSymGN (ierr, cctkGH, "hydrotoy::hydroevolve")
+ if (ierr .lt. 0) then
+ call CCTK_WARN (0, "Error while applying boundary condition")
+ end if
+
+ end
diff --git a/CarpetExtra/HydroToy/src/InitSymBound.F77 b/CarpetExtra/HydroToy/src/InitSymBound.F77
new file mode 100644
index 000000000..20fb46456
--- /dev/null
+++ b/CarpetExtra/HydroToy/src/InitSymBound.F77
@@ -0,0 +1,22 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/src/InitSymBound.F77,v 1.3 2003/11/05 16:18:39 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine HydroToy_InitSymBound (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ integer ierr
+
+ call Cart3dSetTensorTypeVN (ierr, cctkGH, "HydroToy::u", "scalar")
+ call Cart3dSetTensorTypeVN (ierr, cctkGH, "HydroToy::vx HydroToy::vy HydroToy::vz", "vector")
+
+ end
diff --git a/CarpetExtra/HydroToy/src/Startup.F77 b/CarpetExtra/HydroToy/src/Startup.F77
new file mode 100644
index 000000000..59c520b21
--- /dev/null
+++ b/CarpetExtra/HydroToy/src/Startup.F77
@@ -0,0 +1,15 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/src/Startup.F77,v 1.1 2001/03/18 22:37:09 eschnett Exp $
+
+#include "cctk.h"
+
+ subroutine HydroToy_Startup
+
+ implicit none
+
+ integer ierr
+
+ call CCTK_RegisterBanner
+ $ (ierr, "HydroToy: Evolutions of a Scalar and a Vector Field")
+
+ end
diff --git a/CarpetExtra/HydroToy/src/make.code.defn b/CarpetExtra/HydroToy/src/make.code.defn
new file mode 100644
index 000000000..3a7f14213
--- /dev/null
+++ b/CarpetExtra/HydroToy/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn HydroToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/src/make.code.defn,v 1.1 2001/03/18 22:37:09 eschnett Exp $
+
+# Source files in this directory
+SRCS = HydroToy.F77 InitSymBound.F77 Startup.F77
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse.log b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse.log
new file mode 100644
index 000000000..3fcd86780
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse.log
@@ -0,0 +1,126 @@
+--------------------------------------------------------------------------------
+
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+
+Cactus version: 4.0.b11
+Compile date: Nov 30 2001 (15:23:02)
+Run date: Dec 3 2001 (11:14:20)
+Run host: lilypond.tat.physik.uni-tuebingen.de
+Parameter file: /home/eschnett/Calpha/Cactus/arrangements/Carpet/HydroToy/test/hydrotoy_periodic_coarse.par
+--------------------------------------------------------------------------------
+
+Activating thorn Cactus...Success -> active implementation Cactus
+Activation requested for
+--->Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetSlab IDHydroToy HydroToy<---
+Activating thorn Boundary...Success -> active implementation boundary
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetIOFlexIO...Success -> active implementation IOFlexIO
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn HydroToy...Success -> active implementation hydrotoy
+Activating thorn IDHydroToy...Success -> active implementation idhydrotoy
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Time...Success -> active implementation time
+--------------------------------------------------------------------------------
+ if (recover)
+ Recover parameters
+ endif
+
+ Startup routines
+ Carpet: Startup routine
+ IOUtil: Startup routine
+ CarpetIOFlexIO: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ HydroToy: Register banner
+ IDHydroToy: Register banner
+ IOBasic: Startup routine
+ CarpetIOASCII: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ HydroToy: Schedule symmetries
+ Time: Initialise Time variables
+ Time: Set timestep based on Courant condition
+ CarpetIOFlexIO: Read initial data from file
+ IDHydroToy: Initial data for 3D wave equation
+ if (recover)
+ endif
+ if (checkpoint initial data)
+ endif
+ if (analysis)
+ endif
+
+ do loop over timesteps
+ Rotate timelevels
+ iteration = iteration + 1
+ t = t+dt
+ HydroToy: Euler predictor step
+ HydroToy: Euler corrector step
+ if (checkpoint)
+ endif
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 3D FlexIO I/O provided by CarpetIOFlexIO
+--------------------------------------------------------------------------------
+HydroToy: Evolutions of a Scalar and a Vector Field
+--------------------------------------------------------------------------------
+IDHydroToy: Initial data for a Scalar and a Vector Field
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+INFO (Carpet): Carpet is running on 1 processors
+INFO (IOBasic): I/O Method 'Scalar' registered
+INFO (IOBasic): Scalar: Output of scalar quantities (grid scalars, reductions) to ASCII files
+INFO (IOBasic): I/O Method 'Info' registered
+INFO (IOBasic): Info: Output of scalar quantities (grid scalars, reductions) to screen
+INFO (Cart3d): Cartesian coordinates:
+INFO (Cart3d): Whole grid: lower bound [-5.4, -7.2, -9.6]
+INFO (Cart3d): Whole grid: upper bound [5.4, 7.8, 10.2]
+INFO (Cart3d): Whole grid: extent [11.4, 15.6, 20.4]
+INFO (Cart3d): Interior: lower bound [-4.2, -6, -8.4]
+INFO (Cart3d): Interior: upper bound [4.2, 6.6, 9]
+INFO (Cart3d): Interior: extent [9, 13.2, 18]
+INFO (Cart3d): Grid spacing: [0.6, 0.6, 0.6]
+INFO (IOBasic): Scalar: Output every -1 iterations
+INFO (IOBasic): Info: Output every 1 iterations
+------------------
+ it | |
+ | t |
+------------------
+ 0 | 0.000 |
+ 1 | 0.300 |
+ 2 | 0.600 |
+ 3 | 0.900 |
+ 4 | 1.200 |
+ 5 | 1.500 |
+ 6 | 1.800 |
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse.par b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse.par
new file mode 100644
index 000000000..15daebd2f
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse.par
@@ -0,0 +1,46 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse.par,v 1.4 2004/03/23 12:00:04 schnetter Exp $
+
+!DESC "HydroToy with periodic boundaries, no refinement"
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 6
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "hydrotoy_periodic_coarse"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "hydrotoy::hydroevolve grid::coordinates"
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.xl
new file mode 100644
index 000000000..4e6fc8f78
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.xl
@@ -0,0 +1,170 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -5.4
+0 0 0 0 0 1 12 16 -4.8
+0 0 0 0 0 2 12 16 -4.2
+0 0 0 0 0 3 12 16 -3.6
+0 0 0 0 0 4 12 16 -3
+0 0 0 0 0 5 12 16 -2.4
+0 0 0 0 0 6 12 16 -1.8
+0 0 0 0 0 7 12 16 -1.2
+0 0 0 0 0 8 12 16 -0.6
+0 0 0 0 0 9 12 16 4.44089209850063e-16
+0 0 0 0 0 10 12 16 0.600000000000001
+0 0 0 0 0 11 12 16 1.2
+0 0 0 0 0 12 12 16 1.8
+0 0 0 0 0 13 12 16 2.4
+0 0 0 0 0 14 12 16 3
+0 0 0 0 0 15 12 16 3.6
+0 0 0 0 0 16 12 16 4.2
+0 0 0 0 0 17 12 16 4.8
+0 0 0 0 0 18 12 16 5.4
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -5.4
+1 0 0 0 0 1 12 16 -4.8
+1 0 0 0 0 2 12 16 -4.2
+1 0 0 0 0 3 12 16 -3.6
+1 0 0 0 0 4 12 16 -3
+1 0 0 0 0 5 12 16 -2.4
+1 0 0 0 0 6 12 16 -1.8
+1 0 0 0 0 7 12 16 -1.2
+1 0 0 0 0 8 12 16 -0.6
+1 0 0 0 0 9 12 16 4.44089209850063e-16
+1 0 0 0 0 10 12 16 0.600000000000001
+1 0 0 0 0 11 12 16 1.2
+1 0 0 0 0 12 12 16 1.8
+1 0 0 0 0 13 12 16 2.4
+1 0 0 0 0 14 12 16 3
+1 0 0 0 0 15 12 16 3.6
+1 0 0 0 0 16 12 16 4.2
+1 0 0 0 0 17 12 16 4.8
+1 0 0 0 0 18 12 16 5.4
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -5.4
+2 0 0 0 0 1 12 16 -4.8
+2 0 0 0 0 2 12 16 -4.2
+2 0 0 0 0 3 12 16 -3.6
+2 0 0 0 0 4 12 16 -3
+2 0 0 0 0 5 12 16 -2.4
+2 0 0 0 0 6 12 16 -1.8
+2 0 0 0 0 7 12 16 -1.2
+2 0 0 0 0 8 12 16 -0.6
+2 0 0 0 0 9 12 16 4.44089209850063e-16
+2 0 0 0 0 10 12 16 0.600000000000001
+2 0 0 0 0 11 12 16 1.2
+2 0 0 0 0 12 12 16 1.8
+2 0 0 0 0 13 12 16 2.4
+2 0 0 0 0 14 12 16 3
+2 0 0 0 0 15 12 16 3.6
+2 0 0 0 0 16 12 16 4.2
+2 0 0 0 0 17 12 16 4.8
+2 0 0 0 0 18 12 16 5.4
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -5.4
+3 0 0 0 0 1 12 16 -4.8
+3 0 0 0 0 2 12 16 -4.2
+3 0 0 0 0 3 12 16 -3.6
+3 0 0 0 0 4 12 16 -3
+3 0 0 0 0 5 12 16 -2.4
+3 0 0 0 0 6 12 16 -1.8
+3 0 0 0 0 7 12 16 -1.2
+3 0 0 0 0 8 12 16 -0.6
+3 0 0 0 0 9 12 16 4.44089209850063e-16
+3 0 0 0 0 10 12 16 0.600000000000001
+3 0 0 0 0 11 12 16 1.2
+3 0 0 0 0 12 12 16 1.8
+3 0 0 0 0 13 12 16 2.4
+3 0 0 0 0 14 12 16 3
+3 0 0 0 0 15 12 16 3.6
+3 0 0 0 0 16 12 16 4.2
+3 0 0 0 0 17 12 16 4.8
+3 0 0 0 0 18 12 16 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -5.4
+4 0 0 0 0 1 12 16 -4.8
+4 0 0 0 0 2 12 16 -4.2
+4 0 0 0 0 3 12 16 -3.6
+4 0 0 0 0 4 12 16 -3
+4 0 0 0 0 5 12 16 -2.4
+4 0 0 0 0 6 12 16 -1.8
+4 0 0 0 0 7 12 16 -1.2
+4 0 0 0 0 8 12 16 -0.6
+4 0 0 0 0 9 12 16 4.44089209850063e-16
+4 0 0 0 0 10 12 16 0.600000000000001
+4 0 0 0 0 11 12 16 1.2
+4 0 0 0 0 12 12 16 1.8
+4 0 0 0 0 13 12 16 2.4
+4 0 0 0 0 14 12 16 3
+4 0 0 0 0 15 12 16 3.6
+4 0 0 0 0 16 12 16 4.2
+4 0 0 0 0 17 12 16 4.8
+4 0 0 0 0 18 12 16 5.4
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -5.4
+5 0 0 0 0 1 12 16 -4.8
+5 0 0 0 0 2 12 16 -4.2
+5 0 0 0 0 3 12 16 -3.6
+5 0 0 0 0 4 12 16 -3
+5 0 0 0 0 5 12 16 -2.4
+5 0 0 0 0 6 12 16 -1.8
+5 0 0 0 0 7 12 16 -1.2
+5 0 0 0 0 8 12 16 -0.6
+5 0 0 0 0 9 12 16 4.44089209850063e-16
+5 0 0 0 0 10 12 16 0.600000000000001
+5 0 0 0 0 11 12 16 1.2
+5 0 0 0 0 12 12 16 1.8
+5 0 0 0 0 13 12 16 2.4
+5 0 0 0 0 14 12 16 3
+5 0 0 0 0 15 12 16 3.6
+5 0 0 0 0 16 12 16 4.2
+5 0 0 0 0 17 12 16 4.8
+5 0 0 0 0 18 12 16 5.4
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -5.4
+6 0 0 0 0 1 12 16 -4.8
+6 0 0 0 0 2 12 16 -4.2
+6 0 0 0 0 3 12 16 -3.6
+6 0 0 0 0 4 12 16 -3
+6 0 0 0 0 5 12 16 -2.4
+6 0 0 0 0 6 12 16 -1.8
+6 0 0 0 0 7 12 16 -1.2
+6 0 0 0 0 8 12 16 -0.6
+6 0 0 0 0 9 12 16 4.44089209850063e-16
+6 0 0 0 0 10 12 16 0.600000000000001
+6 0 0 0 0 11 12 16 1.2
+6 0 0 0 0 12 12 16 1.8
+6 0 0 0 0 13 12 16 2.4
+6 0 0 0 0 14 12 16 3
+6 0 0 0 0 15 12 16 3.6
+6 0 0 0 0 16 12 16 4.2
+6 0 0 0 0 17 12 16 4.8
+6 0 0 0 0 18 12 16 5.4
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.yl
new file mode 100644
index 000000000..467676ecc
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.yl
@@ -0,0 +1,219 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 4.44089209850063e-16
+0 0 0 0 0 9 1 16 4.44089209850063e-16
+0 0 0 0 0 9 2 16 4.44089209850063e-16
+0 0 0 0 0 9 3 16 4.44089209850063e-16
+0 0 0 0 0 9 4 16 4.44089209850063e-16
+0 0 0 0 0 9 5 16 4.44089209850063e-16
+0 0 0 0 0 9 6 16 4.44089209850063e-16
+0 0 0 0 0 9 7 16 4.44089209850063e-16
+0 0 0 0 0 9 8 16 4.44089209850063e-16
+0 0 0 0 0 9 9 16 4.44089209850063e-16
+0 0 0 0 0 9 10 16 4.44089209850063e-16
+0 0 0 0 0 9 11 16 4.44089209850063e-16
+0 0 0 0 0 9 12 16 4.44089209850063e-16
+0 0 0 0 0 9 13 16 4.44089209850063e-16
+0 0 0 0 0 9 14 16 4.44089209850063e-16
+0 0 0 0 0 9 15 16 4.44089209850063e-16
+0 0 0 0 0 9 16 16 4.44089209850063e-16
+0 0 0 0 0 9 17 16 4.44089209850063e-16
+0 0 0 0 0 9 18 16 4.44089209850063e-16
+0 0 0 0 0 9 19 16 4.44089209850063e-16
+0 0 0 0 0 9 20 16 4.44089209850063e-16
+0 0 0 0 0 9 21 16 4.44089209850063e-16
+0 0 0 0 0 9 22 16 4.44089209850063e-16
+0 0 0 0 0 9 23 16 4.44089209850063e-16
+0 0 0 0 0 9 24 16 4.44089209850063e-16
+0 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 4.44089209850063e-16
+1 0 0 0 0 9 1 16 4.44089209850063e-16
+1 0 0 0 0 9 2 16 4.44089209850063e-16
+1 0 0 0 0 9 3 16 4.44089209850063e-16
+1 0 0 0 0 9 4 16 4.44089209850063e-16
+1 0 0 0 0 9 5 16 4.44089209850063e-16
+1 0 0 0 0 9 6 16 4.44089209850063e-16
+1 0 0 0 0 9 7 16 4.44089209850063e-16
+1 0 0 0 0 9 8 16 4.44089209850063e-16
+1 0 0 0 0 9 9 16 4.44089209850063e-16
+1 0 0 0 0 9 10 16 4.44089209850063e-16
+1 0 0 0 0 9 11 16 4.44089209850063e-16
+1 0 0 0 0 9 12 16 4.44089209850063e-16
+1 0 0 0 0 9 13 16 4.44089209850063e-16
+1 0 0 0 0 9 14 16 4.44089209850063e-16
+1 0 0 0 0 9 15 16 4.44089209850063e-16
+1 0 0 0 0 9 16 16 4.44089209850063e-16
+1 0 0 0 0 9 17 16 4.44089209850063e-16
+1 0 0 0 0 9 18 16 4.44089209850063e-16
+1 0 0 0 0 9 19 16 4.44089209850063e-16
+1 0 0 0 0 9 20 16 4.44089209850063e-16
+1 0 0 0 0 9 21 16 4.44089209850063e-16
+1 0 0 0 0 9 22 16 4.44089209850063e-16
+1 0 0 0 0 9 23 16 4.44089209850063e-16
+1 0 0 0 0 9 24 16 4.44089209850063e-16
+1 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 4.44089209850063e-16
+2 0 0 0 0 9 1 16 4.44089209850063e-16
+2 0 0 0 0 9 2 16 4.44089209850063e-16
+2 0 0 0 0 9 3 16 4.44089209850063e-16
+2 0 0 0 0 9 4 16 4.44089209850063e-16
+2 0 0 0 0 9 5 16 4.44089209850063e-16
+2 0 0 0 0 9 6 16 4.44089209850063e-16
+2 0 0 0 0 9 7 16 4.44089209850063e-16
+2 0 0 0 0 9 8 16 4.44089209850063e-16
+2 0 0 0 0 9 9 16 4.44089209850063e-16
+2 0 0 0 0 9 10 16 4.44089209850063e-16
+2 0 0 0 0 9 11 16 4.44089209850063e-16
+2 0 0 0 0 9 12 16 4.44089209850063e-16
+2 0 0 0 0 9 13 16 4.44089209850063e-16
+2 0 0 0 0 9 14 16 4.44089209850063e-16
+2 0 0 0 0 9 15 16 4.44089209850063e-16
+2 0 0 0 0 9 16 16 4.44089209850063e-16
+2 0 0 0 0 9 17 16 4.44089209850063e-16
+2 0 0 0 0 9 18 16 4.44089209850063e-16
+2 0 0 0 0 9 19 16 4.44089209850063e-16
+2 0 0 0 0 9 20 16 4.44089209850063e-16
+2 0 0 0 0 9 21 16 4.44089209850063e-16
+2 0 0 0 0 9 22 16 4.44089209850063e-16
+2 0 0 0 0 9 23 16 4.44089209850063e-16
+2 0 0 0 0 9 24 16 4.44089209850063e-16
+2 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 4.44089209850063e-16
+3 0 0 0 0 9 1 16 4.44089209850063e-16
+3 0 0 0 0 9 2 16 4.44089209850063e-16
+3 0 0 0 0 9 3 16 4.44089209850063e-16
+3 0 0 0 0 9 4 16 4.44089209850063e-16
+3 0 0 0 0 9 5 16 4.44089209850063e-16
+3 0 0 0 0 9 6 16 4.44089209850063e-16
+3 0 0 0 0 9 7 16 4.44089209850063e-16
+3 0 0 0 0 9 8 16 4.44089209850063e-16
+3 0 0 0 0 9 9 16 4.44089209850063e-16
+3 0 0 0 0 9 10 16 4.44089209850063e-16
+3 0 0 0 0 9 11 16 4.44089209850063e-16
+3 0 0 0 0 9 12 16 4.44089209850063e-16
+3 0 0 0 0 9 13 16 4.44089209850063e-16
+3 0 0 0 0 9 14 16 4.44089209850063e-16
+3 0 0 0 0 9 15 16 4.44089209850063e-16
+3 0 0 0 0 9 16 16 4.44089209850063e-16
+3 0 0 0 0 9 17 16 4.44089209850063e-16
+3 0 0 0 0 9 18 16 4.44089209850063e-16
+3 0 0 0 0 9 19 16 4.44089209850063e-16
+3 0 0 0 0 9 20 16 4.44089209850063e-16
+3 0 0 0 0 9 21 16 4.44089209850063e-16
+3 0 0 0 0 9 22 16 4.44089209850063e-16
+3 0 0 0 0 9 23 16 4.44089209850063e-16
+3 0 0 0 0 9 24 16 4.44089209850063e-16
+3 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 4.44089209850063e-16
+4 0 0 0 0 9 1 16 4.44089209850063e-16
+4 0 0 0 0 9 2 16 4.44089209850063e-16
+4 0 0 0 0 9 3 16 4.44089209850063e-16
+4 0 0 0 0 9 4 16 4.44089209850063e-16
+4 0 0 0 0 9 5 16 4.44089209850063e-16
+4 0 0 0 0 9 6 16 4.44089209850063e-16
+4 0 0 0 0 9 7 16 4.44089209850063e-16
+4 0 0 0 0 9 8 16 4.44089209850063e-16
+4 0 0 0 0 9 9 16 4.44089209850063e-16
+4 0 0 0 0 9 10 16 4.44089209850063e-16
+4 0 0 0 0 9 11 16 4.44089209850063e-16
+4 0 0 0 0 9 12 16 4.44089209850063e-16
+4 0 0 0 0 9 13 16 4.44089209850063e-16
+4 0 0 0 0 9 14 16 4.44089209850063e-16
+4 0 0 0 0 9 15 16 4.44089209850063e-16
+4 0 0 0 0 9 16 16 4.44089209850063e-16
+4 0 0 0 0 9 17 16 4.44089209850063e-16
+4 0 0 0 0 9 18 16 4.44089209850063e-16
+4 0 0 0 0 9 19 16 4.44089209850063e-16
+4 0 0 0 0 9 20 16 4.44089209850063e-16
+4 0 0 0 0 9 21 16 4.44089209850063e-16
+4 0 0 0 0 9 22 16 4.44089209850063e-16
+4 0 0 0 0 9 23 16 4.44089209850063e-16
+4 0 0 0 0 9 24 16 4.44089209850063e-16
+4 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 4.44089209850063e-16
+5 0 0 0 0 9 1 16 4.44089209850063e-16
+5 0 0 0 0 9 2 16 4.44089209850063e-16
+5 0 0 0 0 9 3 16 4.44089209850063e-16
+5 0 0 0 0 9 4 16 4.44089209850063e-16
+5 0 0 0 0 9 5 16 4.44089209850063e-16
+5 0 0 0 0 9 6 16 4.44089209850063e-16
+5 0 0 0 0 9 7 16 4.44089209850063e-16
+5 0 0 0 0 9 8 16 4.44089209850063e-16
+5 0 0 0 0 9 9 16 4.44089209850063e-16
+5 0 0 0 0 9 10 16 4.44089209850063e-16
+5 0 0 0 0 9 11 16 4.44089209850063e-16
+5 0 0 0 0 9 12 16 4.44089209850063e-16
+5 0 0 0 0 9 13 16 4.44089209850063e-16
+5 0 0 0 0 9 14 16 4.44089209850063e-16
+5 0 0 0 0 9 15 16 4.44089209850063e-16
+5 0 0 0 0 9 16 16 4.44089209850063e-16
+5 0 0 0 0 9 17 16 4.44089209850063e-16
+5 0 0 0 0 9 18 16 4.44089209850063e-16
+5 0 0 0 0 9 19 16 4.44089209850063e-16
+5 0 0 0 0 9 20 16 4.44089209850063e-16
+5 0 0 0 0 9 21 16 4.44089209850063e-16
+5 0 0 0 0 9 22 16 4.44089209850063e-16
+5 0 0 0 0 9 23 16 4.44089209850063e-16
+5 0 0 0 0 9 24 16 4.44089209850063e-16
+5 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 4.44089209850063e-16
+6 0 0 0 0 9 1 16 4.44089209850063e-16
+6 0 0 0 0 9 2 16 4.44089209850063e-16
+6 0 0 0 0 9 3 16 4.44089209850063e-16
+6 0 0 0 0 9 4 16 4.44089209850063e-16
+6 0 0 0 0 9 5 16 4.44089209850063e-16
+6 0 0 0 0 9 6 16 4.44089209850063e-16
+6 0 0 0 0 9 7 16 4.44089209850063e-16
+6 0 0 0 0 9 8 16 4.44089209850063e-16
+6 0 0 0 0 9 9 16 4.44089209850063e-16
+6 0 0 0 0 9 10 16 4.44089209850063e-16
+6 0 0 0 0 9 11 16 4.44089209850063e-16
+6 0 0 0 0 9 12 16 4.44089209850063e-16
+6 0 0 0 0 9 13 16 4.44089209850063e-16
+6 0 0 0 0 9 14 16 4.44089209850063e-16
+6 0 0 0 0 9 15 16 4.44089209850063e-16
+6 0 0 0 0 9 16 16 4.44089209850063e-16
+6 0 0 0 0 9 17 16 4.44089209850063e-16
+6 0 0 0 0 9 18 16 4.44089209850063e-16
+6 0 0 0 0 9 19 16 4.44089209850063e-16
+6 0 0 0 0 9 20 16 4.44089209850063e-16
+6 0 0 0 0 9 21 16 4.44089209850063e-16
+6 0 0 0 0 9 22 16 4.44089209850063e-16
+6 0 0 0 0 9 23 16 4.44089209850063e-16
+6 0 0 0 0 9 24 16 4.44089209850063e-16
+6 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.zl
new file mode 100644
index 000000000..a9d72ade1
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_x.zl
@@ -0,0 +1,275 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 4.44089209850063e-16
+0 0 0 0 0 9 12 1 4.44089209850063e-16
+0 0 0 0 0 9 12 2 4.44089209850063e-16
+0 0 0 0 0 9 12 3 4.44089209850063e-16
+0 0 0 0 0 9 12 4 4.44089209850063e-16
+0 0 0 0 0 9 12 5 4.44089209850063e-16
+0 0 0 0 0 9 12 6 4.44089209850063e-16
+0 0 0 0 0 9 12 7 4.44089209850063e-16
+0 0 0 0 0 9 12 8 4.44089209850063e-16
+0 0 0 0 0 9 12 9 4.44089209850063e-16
+0 0 0 0 0 9 12 10 4.44089209850063e-16
+0 0 0 0 0 9 12 11 4.44089209850063e-16
+0 0 0 0 0 9 12 12 4.44089209850063e-16
+0 0 0 0 0 9 12 13 4.44089209850063e-16
+0 0 0 0 0 9 12 14 4.44089209850063e-16
+0 0 0 0 0 9 12 15 4.44089209850063e-16
+0 0 0 0 0 9 12 16 4.44089209850063e-16
+0 0 0 0 0 9 12 17 4.44089209850063e-16
+0 0 0 0 0 9 12 18 4.44089209850063e-16
+0 0 0 0 0 9 12 19 4.44089209850063e-16
+0 0 0 0 0 9 12 20 4.44089209850063e-16
+0 0 0 0 0 9 12 21 4.44089209850063e-16
+0 0 0 0 0 9 12 22 4.44089209850063e-16
+0 0 0 0 0 9 12 23 4.44089209850063e-16
+0 0 0 0 0 9 12 24 4.44089209850063e-16
+0 0 0 0 0 9 12 25 4.44089209850063e-16
+0 0 0 0 0 9 12 26 4.44089209850063e-16
+0 0 0 0 0 9 12 27 4.44089209850063e-16
+0 0 0 0 0 9 12 28 4.44089209850063e-16
+0 0 0 0 0 9 12 29 4.44089209850063e-16
+0 0 0 0 0 9 12 30 4.44089209850063e-16
+0 0 0 0 0 9 12 31 4.44089209850063e-16
+0 0 0 0 0 9 12 32 4.44089209850063e-16
+0 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 4.44089209850063e-16
+1 0 0 0 0 9 12 1 4.44089209850063e-16
+1 0 0 0 0 9 12 2 4.44089209850063e-16
+1 0 0 0 0 9 12 3 4.44089209850063e-16
+1 0 0 0 0 9 12 4 4.44089209850063e-16
+1 0 0 0 0 9 12 5 4.44089209850063e-16
+1 0 0 0 0 9 12 6 4.44089209850063e-16
+1 0 0 0 0 9 12 7 4.44089209850063e-16
+1 0 0 0 0 9 12 8 4.44089209850063e-16
+1 0 0 0 0 9 12 9 4.44089209850063e-16
+1 0 0 0 0 9 12 10 4.44089209850063e-16
+1 0 0 0 0 9 12 11 4.44089209850063e-16
+1 0 0 0 0 9 12 12 4.44089209850063e-16
+1 0 0 0 0 9 12 13 4.44089209850063e-16
+1 0 0 0 0 9 12 14 4.44089209850063e-16
+1 0 0 0 0 9 12 15 4.44089209850063e-16
+1 0 0 0 0 9 12 16 4.44089209850063e-16
+1 0 0 0 0 9 12 17 4.44089209850063e-16
+1 0 0 0 0 9 12 18 4.44089209850063e-16
+1 0 0 0 0 9 12 19 4.44089209850063e-16
+1 0 0 0 0 9 12 20 4.44089209850063e-16
+1 0 0 0 0 9 12 21 4.44089209850063e-16
+1 0 0 0 0 9 12 22 4.44089209850063e-16
+1 0 0 0 0 9 12 23 4.44089209850063e-16
+1 0 0 0 0 9 12 24 4.44089209850063e-16
+1 0 0 0 0 9 12 25 4.44089209850063e-16
+1 0 0 0 0 9 12 26 4.44089209850063e-16
+1 0 0 0 0 9 12 27 4.44089209850063e-16
+1 0 0 0 0 9 12 28 4.44089209850063e-16
+1 0 0 0 0 9 12 29 4.44089209850063e-16
+1 0 0 0 0 9 12 30 4.44089209850063e-16
+1 0 0 0 0 9 12 31 4.44089209850063e-16
+1 0 0 0 0 9 12 32 4.44089209850063e-16
+1 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 4.44089209850063e-16
+2 0 0 0 0 9 12 1 4.44089209850063e-16
+2 0 0 0 0 9 12 2 4.44089209850063e-16
+2 0 0 0 0 9 12 3 4.44089209850063e-16
+2 0 0 0 0 9 12 4 4.44089209850063e-16
+2 0 0 0 0 9 12 5 4.44089209850063e-16
+2 0 0 0 0 9 12 6 4.44089209850063e-16
+2 0 0 0 0 9 12 7 4.44089209850063e-16
+2 0 0 0 0 9 12 8 4.44089209850063e-16
+2 0 0 0 0 9 12 9 4.44089209850063e-16
+2 0 0 0 0 9 12 10 4.44089209850063e-16
+2 0 0 0 0 9 12 11 4.44089209850063e-16
+2 0 0 0 0 9 12 12 4.44089209850063e-16
+2 0 0 0 0 9 12 13 4.44089209850063e-16
+2 0 0 0 0 9 12 14 4.44089209850063e-16
+2 0 0 0 0 9 12 15 4.44089209850063e-16
+2 0 0 0 0 9 12 16 4.44089209850063e-16
+2 0 0 0 0 9 12 17 4.44089209850063e-16
+2 0 0 0 0 9 12 18 4.44089209850063e-16
+2 0 0 0 0 9 12 19 4.44089209850063e-16
+2 0 0 0 0 9 12 20 4.44089209850063e-16
+2 0 0 0 0 9 12 21 4.44089209850063e-16
+2 0 0 0 0 9 12 22 4.44089209850063e-16
+2 0 0 0 0 9 12 23 4.44089209850063e-16
+2 0 0 0 0 9 12 24 4.44089209850063e-16
+2 0 0 0 0 9 12 25 4.44089209850063e-16
+2 0 0 0 0 9 12 26 4.44089209850063e-16
+2 0 0 0 0 9 12 27 4.44089209850063e-16
+2 0 0 0 0 9 12 28 4.44089209850063e-16
+2 0 0 0 0 9 12 29 4.44089209850063e-16
+2 0 0 0 0 9 12 30 4.44089209850063e-16
+2 0 0 0 0 9 12 31 4.44089209850063e-16
+2 0 0 0 0 9 12 32 4.44089209850063e-16
+2 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 4.44089209850063e-16
+3 0 0 0 0 9 12 1 4.44089209850063e-16
+3 0 0 0 0 9 12 2 4.44089209850063e-16
+3 0 0 0 0 9 12 3 4.44089209850063e-16
+3 0 0 0 0 9 12 4 4.44089209850063e-16
+3 0 0 0 0 9 12 5 4.44089209850063e-16
+3 0 0 0 0 9 12 6 4.44089209850063e-16
+3 0 0 0 0 9 12 7 4.44089209850063e-16
+3 0 0 0 0 9 12 8 4.44089209850063e-16
+3 0 0 0 0 9 12 9 4.44089209850063e-16
+3 0 0 0 0 9 12 10 4.44089209850063e-16
+3 0 0 0 0 9 12 11 4.44089209850063e-16
+3 0 0 0 0 9 12 12 4.44089209850063e-16
+3 0 0 0 0 9 12 13 4.44089209850063e-16
+3 0 0 0 0 9 12 14 4.44089209850063e-16
+3 0 0 0 0 9 12 15 4.44089209850063e-16
+3 0 0 0 0 9 12 16 4.44089209850063e-16
+3 0 0 0 0 9 12 17 4.44089209850063e-16
+3 0 0 0 0 9 12 18 4.44089209850063e-16
+3 0 0 0 0 9 12 19 4.44089209850063e-16
+3 0 0 0 0 9 12 20 4.44089209850063e-16
+3 0 0 0 0 9 12 21 4.44089209850063e-16
+3 0 0 0 0 9 12 22 4.44089209850063e-16
+3 0 0 0 0 9 12 23 4.44089209850063e-16
+3 0 0 0 0 9 12 24 4.44089209850063e-16
+3 0 0 0 0 9 12 25 4.44089209850063e-16
+3 0 0 0 0 9 12 26 4.44089209850063e-16
+3 0 0 0 0 9 12 27 4.44089209850063e-16
+3 0 0 0 0 9 12 28 4.44089209850063e-16
+3 0 0 0 0 9 12 29 4.44089209850063e-16
+3 0 0 0 0 9 12 30 4.44089209850063e-16
+3 0 0 0 0 9 12 31 4.44089209850063e-16
+3 0 0 0 0 9 12 32 4.44089209850063e-16
+3 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 4.44089209850063e-16
+4 0 0 0 0 9 12 1 4.44089209850063e-16
+4 0 0 0 0 9 12 2 4.44089209850063e-16
+4 0 0 0 0 9 12 3 4.44089209850063e-16
+4 0 0 0 0 9 12 4 4.44089209850063e-16
+4 0 0 0 0 9 12 5 4.44089209850063e-16
+4 0 0 0 0 9 12 6 4.44089209850063e-16
+4 0 0 0 0 9 12 7 4.44089209850063e-16
+4 0 0 0 0 9 12 8 4.44089209850063e-16
+4 0 0 0 0 9 12 9 4.44089209850063e-16
+4 0 0 0 0 9 12 10 4.44089209850063e-16
+4 0 0 0 0 9 12 11 4.44089209850063e-16
+4 0 0 0 0 9 12 12 4.44089209850063e-16
+4 0 0 0 0 9 12 13 4.44089209850063e-16
+4 0 0 0 0 9 12 14 4.44089209850063e-16
+4 0 0 0 0 9 12 15 4.44089209850063e-16
+4 0 0 0 0 9 12 16 4.44089209850063e-16
+4 0 0 0 0 9 12 17 4.44089209850063e-16
+4 0 0 0 0 9 12 18 4.44089209850063e-16
+4 0 0 0 0 9 12 19 4.44089209850063e-16
+4 0 0 0 0 9 12 20 4.44089209850063e-16
+4 0 0 0 0 9 12 21 4.44089209850063e-16
+4 0 0 0 0 9 12 22 4.44089209850063e-16
+4 0 0 0 0 9 12 23 4.44089209850063e-16
+4 0 0 0 0 9 12 24 4.44089209850063e-16
+4 0 0 0 0 9 12 25 4.44089209850063e-16
+4 0 0 0 0 9 12 26 4.44089209850063e-16
+4 0 0 0 0 9 12 27 4.44089209850063e-16
+4 0 0 0 0 9 12 28 4.44089209850063e-16
+4 0 0 0 0 9 12 29 4.44089209850063e-16
+4 0 0 0 0 9 12 30 4.44089209850063e-16
+4 0 0 0 0 9 12 31 4.44089209850063e-16
+4 0 0 0 0 9 12 32 4.44089209850063e-16
+4 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 4.44089209850063e-16
+5 0 0 0 0 9 12 1 4.44089209850063e-16
+5 0 0 0 0 9 12 2 4.44089209850063e-16
+5 0 0 0 0 9 12 3 4.44089209850063e-16
+5 0 0 0 0 9 12 4 4.44089209850063e-16
+5 0 0 0 0 9 12 5 4.44089209850063e-16
+5 0 0 0 0 9 12 6 4.44089209850063e-16
+5 0 0 0 0 9 12 7 4.44089209850063e-16
+5 0 0 0 0 9 12 8 4.44089209850063e-16
+5 0 0 0 0 9 12 9 4.44089209850063e-16
+5 0 0 0 0 9 12 10 4.44089209850063e-16
+5 0 0 0 0 9 12 11 4.44089209850063e-16
+5 0 0 0 0 9 12 12 4.44089209850063e-16
+5 0 0 0 0 9 12 13 4.44089209850063e-16
+5 0 0 0 0 9 12 14 4.44089209850063e-16
+5 0 0 0 0 9 12 15 4.44089209850063e-16
+5 0 0 0 0 9 12 16 4.44089209850063e-16
+5 0 0 0 0 9 12 17 4.44089209850063e-16
+5 0 0 0 0 9 12 18 4.44089209850063e-16
+5 0 0 0 0 9 12 19 4.44089209850063e-16
+5 0 0 0 0 9 12 20 4.44089209850063e-16
+5 0 0 0 0 9 12 21 4.44089209850063e-16
+5 0 0 0 0 9 12 22 4.44089209850063e-16
+5 0 0 0 0 9 12 23 4.44089209850063e-16
+5 0 0 0 0 9 12 24 4.44089209850063e-16
+5 0 0 0 0 9 12 25 4.44089209850063e-16
+5 0 0 0 0 9 12 26 4.44089209850063e-16
+5 0 0 0 0 9 12 27 4.44089209850063e-16
+5 0 0 0 0 9 12 28 4.44089209850063e-16
+5 0 0 0 0 9 12 29 4.44089209850063e-16
+5 0 0 0 0 9 12 30 4.44089209850063e-16
+5 0 0 0 0 9 12 31 4.44089209850063e-16
+5 0 0 0 0 9 12 32 4.44089209850063e-16
+5 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 4.44089209850063e-16
+6 0 0 0 0 9 12 1 4.44089209850063e-16
+6 0 0 0 0 9 12 2 4.44089209850063e-16
+6 0 0 0 0 9 12 3 4.44089209850063e-16
+6 0 0 0 0 9 12 4 4.44089209850063e-16
+6 0 0 0 0 9 12 5 4.44089209850063e-16
+6 0 0 0 0 9 12 6 4.44089209850063e-16
+6 0 0 0 0 9 12 7 4.44089209850063e-16
+6 0 0 0 0 9 12 8 4.44089209850063e-16
+6 0 0 0 0 9 12 9 4.44089209850063e-16
+6 0 0 0 0 9 12 10 4.44089209850063e-16
+6 0 0 0 0 9 12 11 4.44089209850063e-16
+6 0 0 0 0 9 12 12 4.44089209850063e-16
+6 0 0 0 0 9 12 13 4.44089209850063e-16
+6 0 0 0 0 9 12 14 4.44089209850063e-16
+6 0 0 0 0 9 12 15 4.44089209850063e-16
+6 0 0 0 0 9 12 16 4.44089209850063e-16
+6 0 0 0 0 9 12 17 4.44089209850063e-16
+6 0 0 0 0 9 12 18 4.44089209850063e-16
+6 0 0 0 0 9 12 19 4.44089209850063e-16
+6 0 0 0 0 9 12 20 4.44089209850063e-16
+6 0 0 0 0 9 12 21 4.44089209850063e-16
+6 0 0 0 0 9 12 22 4.44089209850063e-16
+6 0 0 0 0 9 12 23 4.44089209850063e-16
+6 0 0 0 0 9 12 24 4.44089209850063e-16
+6 0 0 0 0 9 12 25 4.44089209850063e-16
+6 0 0 0 0 9 12 26 4.44089209850063e-16
+6 0 0 0 0 9 12 27 4.44089209850063e-16
+6 0 0 0 0 9 12 28 4.44089209850063e-16
+6 0 0 0 0 9 12 29 4.44089209850063e-16
+6 0 0 0 0 9 12 30 4.44089209850063e-16
+6 0 0 0 0 9 12 31 4.44089209850063e-16
+6 0 0 0 0 9 12 32 4.44089209850063e-16
+6 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.xl
new file mode 100644
index 000000000..d4d13f446
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.xl
@@ -0,0 +1,170 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -4.44089209850063e-16
+0 0 0 0 0 1 12 16 -4.44089209850063e-16
+0 0 0 0 0 2 12 16 -4.44089209850063e-16
+0 0 0 0 0 3 12 16 -4.44089209850063e-16
+0 0 0 0 0 4 12 16 -4.44089209850063e-16
+0 0 0 0 0 5 12 16 -4.44089209850063e-16
+0 0 0 0 0 6 12 16 -4.44089209850063e-16
+0 0 0 0 0 7 12 16 -4.44089209850063e-16
+0 0 0 0 0 8 12 16 -4.44089209850063e-16
+0 0 0 0 0 9 12 16 -4.44089209850063e-16
+0 0 0 0 0 10 12 16 -4.44089209850063e-16
+0 0 0 0 0 11 12 16 -4.44089209850063e-16
+0 0 0 0 0 12 12 16 -4.44089209850063e-16
+0 0 0 0 0 13 12 16 -4.44089209850063e-16
+0 0 0 0 0 14 12 16 -4.44089209850063e-16
+0 0 0 0 0 15 12 16 -4.44089209850063e-16
+0 0 0 0 0 16 12 16 -4.44089209850063e-16
+0 0 0 0 0 17 12 16 -4.44089209850063e-16
+0 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -4.44089209850063e-16
+1 0 0 0 0 1 12 16 -4.44089209850063e-16
+1 0 0 0 0 2 12 16 -4.44089209850063e-16
+1 0 0 0 0 3 12 16 -4.44089209850063e-16
+1 0 0 0 0 4 12 16 -4.44089209850063e-16
+1 0 0 0 0 5 12 16 -4.44089209850063e-16
+1 0 0 0 0 6 12 16 -4.44089209850063e-16
+1 0 0 0 0 7 12 16 -4.44089209850063e-16
+1 0 0 0 0 8 12 16 -4.44089209850063e-16
+1 0 0 0 0 9 12 16 -4.44089209850063e-16
+1 0 0 0 0 10 12 16 -4.44089209850063e-16
+1 0 0 0 0 11 12 16 -4.44089209850063e-16
+1 0 0 0 0 12 12 16 -4.44089209850063e-16
+1 0 0 0 0 13 12 16 -4.44089209850063e-16
+1 0 0 0 0 14 12 16 -4.44089209850063e-16
+1 0 0 0 0 15 12 16 -4.44089209850063e-16
+1 0 0 0 0 16 12 16 -4.44089209850063e-16
+1 0 0 0 0 17 12 16 -4.44089209850063e-16
+1 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -4.44089209850063e-16
+2 0 0 0 0 1 12 16 -4.44089209850063e-16
+2 0 0 0 0 2 12 16 -4.44089209850063e-16
+2 0 0 0 0 3 12 16 -4.44089209850063e-16
+2 0 0 0 0 4 12 16 -4.44089209850063e-16
+2 0 0 0 0 5 12 16 -4.44089209850063e-16
+2 0 0 0 0 6 12 16 -4.44089209850063e-16
+2 0 0 0 0 7 12 16 -4.44089209850063e-16
+2 0 0 0 0 8 12 16 -4.44089209850063e-16
+2 0 0 0 0 9 12 16 -4.44089209850063e-16
+2 0 0 0 0 10 12 16 -4.44089209850063e-16
+2 0 0 0 0 11 12 16 -4.44089209850063e-16
+2 0 0 0 0 12 12 16 -4.44089209850063e-16
+2 0 0 0 0 13 12 16 -4.44089209850063e-16
+2 0 0 0 0 14 12 16 -4.44089209850063e-16
+2 0 0 0 0 15 12 16 -4.44089209850063e-16
+2 0 0 0 0 16 12 16 -4.44089209850063e-16
+2 0 0 0 0 17 12 16 -4.44089209850063e-16
+2 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -4.44089209850063e-16
+3 0 0 0 0 1 12 16 -4.44089209850063e-16
+3 0 0 0 0 2 12 16 -4.44089209850063e-16
+3 0 0 0 0 3 12 16 -4.44089209850063e-16
+3 0 0 0 0 4 12 16 -4.44089209850063e-16
+3 0 0 0 0 5 12 16 -4.44089209850063e-16
+3 0 0 0 0 6 12 16 -4.44089209850063e-16
+3 0 0 0 0 7 12 16 -4.44089209850063e-16
+3 0 0 0 0 8 12 16 -4.44089209850063e-16
+3 0 0 0 0 9 12 16 -4.44089209850063e-16
+3 0 0 0 0 10 12 16 -4.44089209850063e-16
+3 0 0 0 0 11 12 16 -4.44089209850063e-16
+3 0 0 0 0 12 12 16 -4.44089209850063e-16
+3 0 0 0 0 13 12 16 -4.44089209850063e-16
+3 0 0 0 0 14 12 16 -4.44089209850063e-16
+3 0 0 0 0 15 12 16 -4.44089209850063e-16
+3 0 0 0 0 16 12 16 -4.44089209850063e-16
+3 0 0 0 0 17 12 16 -4.44089209850063e-16
+3 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -4.44089209850063e-16
+4 0 0 0 0 1 12 16 -4.44089209850063e-16
+4 0 0 0 0 2 12 16 -4.44089209850063e-16
+4 0 0 0 0 3 12 16 -4.44089209850063e-16
+4 0 0 0 0 4 12 16 -4.44089209850063e-16
+4 0 0 0 0 5 12 16 -4.44089209850063e-16
+4 0 0 0 0 6 12 16 -4.44089209850063e-16
+4 0 0 0 0 7 12 16 -4.44089209850063e-16
+4 0 0 0 0 8 12 16 -4.44089209850063e-16
+4 0 0 0 0 9 12 16 -4.44089209850063e-16
+4 0 0 0 0 10 12 16 -4.44089209850063e-16
+4 0 0 0 0 11 12 16 -4.44089209850063e-16
+4 0 0 0 0 12 12 16 -4.44089209850063e-16
+4 0 0 0 0 13 12 16 -4.44089209850063e-16
+4 0 0 0 0 14 12 16 -4.44089209850063e-16
+4 0 0 0 0 15 12 16 -4.44089209850063e-16
+4 0 0 0 0 16 12 16 -4.44089209850063e-16
+4 0 0 0 0 17 12 16 -4.44089209850063e-16
+4 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -4.44089209850063e-16
+5 0 0 0 0 1 12 16 -4.44089209850063e-16
+5 0 0 0 0 2 12 16 -4.44089209850063e-16
+5 0 0 0 0 3 12 16 -4.44089209850063e-16
+5 0 0 0 0 4 12 16 -4.44089209850063e-16
+5 0 0 0 0 5 12 16 -4.44089209850063e-16
+5 0 0 0 0 6 12 16 -4.44089209850063e-16
+5 0 0 0 0 7 12 16 -4.44089209850063e-16
+5 0 0 0 0 8 12 16 -4.44089209850063e-16
+5 0 0 0 0 9 12 16 -4.44089209850063e-16
+5 0 0 0 0 10 12 16 -4.44089209850063e-16
+5 0 0 0 0 11 12 16 -4.44089209850063e-16
+5 0 0 0 0 12 12 16 -4.44089209850063e-16
+5 0 0 0 0 13 12 16 -4.44089209850063e-16
+5 0 0 0 0 14 12 16 -4.44089209850063e-16
+5 0 0 0 0 15 12 16 -4.44089209850063e-16
+5 0 0 0 0 16 12 16 -4.44089209850063e-16
+5 0 0 0 0 17 12 16 -4.44089209850063e-16
+5 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -4.44089209850063e-16
+6 0 0 0 0 1 12 16 -4.44089209850063e-16
+6 0 0 0 0 2 12 16 -4.44089209850063e-16
+6 0 0 0 0 3 12 16 -4.44089209850063e-16
+6 0 0 0 0 4 12 16 -4.44089209850063e-16
+6 0 0 0 0 5 12 16 -4.44089209850063e-16
+6 0 0 0 0 6 12 16 -4.44089209850063e-16
+6 0 0 0 0 7 12 16 -4.44089209850063e-16
+6 0 0 0 0 8 12 16 -4.44089209850063e-16
+6 0 0 0 0 9 12 16 -4.44089209850063e-16
+6 0 0 0 0 10 12 16 -4.44089209850063e-16
+6 0 0 0 0 11 12 16 -4.44089209850063e-16
+6 0 0 0 0 12 12 16 -4.44089209850063e-16
+6 0 0 0 0 13 12 16 -4.44089209850063e-16
+6 0 0 0 0 14 12 16 -4.44089209850063e-16
+6 0 0 0 0 15 12 16 -4.44089209850063e-16
+6 0 0 0 0 16 12 16 -4.44089209850063e-16
+6 0 0 0 0 17 12 16 -4.44089209850063e-16
+6 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.yl
new file mode 100644
index 000000000..f9b213254
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.yl
@@ -0,0 +1,219 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -7.2
+0 0 0 0 0 9 1 16 -6.6
+0 0 0 0 0 9 2 16 -6
+0 0 0 0 0 9 3 16 -5.4
+0 0 0 0 0 9 4 16 -4.8
+0 0 0 0 0 9 5 16 -4.2
+0 0 0 0 0 9 6 16 -3.6
+0 0 0 0 0 9 7 16 -3
+0 0 0 0 0 9 8 16 -2.4
+0 0 0 0 0 9 9 16 -1.8
+0 0 0 0 0 9 10 16 -1.2
+0 0 0 0 0 9 11 16 -0.6
+0 0 0 0 0 9 12 16 -4.44089209850063e-16
+0 0 0 0 0 9 13 16 0.6
+0 0 0 0 0 9 14 16 1.2
+0 0 0 0 0 9 15 16 1.8
+0 0 0 0 0 9 16 16 2.4
+0 0 0 0 0 9 17 16 3
+0 0 0 0 0 9 18 16 3.6
+0 0 0 0 0 9 19 16 4.2
+0 0 0 0 0 9 20 16 4.8
+0 0 0 0 0 9 21 16 5.4
+0 0 0 0 0 9 22 16 6
+0 0 0 0 0 9 23 16 6.6
+0 0 0 0 0 9 24 16 7.2
+0 0 0 0 0 9 25 16 7.8
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 -7.2
+1 0 0 0 0 9 1 16 -6.6
+1 0 0 0 0 9 2 16 -6
+1 0 0 0 0 9 3 16 -5.4
+1 0 0 0 0 9 4 16 -4.8
+1 0 0 0 0 9 5 16 -4.2
+1 0 0 0 0 9 6 16 -3.6
+1 0 0 0 0 9 7 16 -3
+1 0 0 0 0 9 8 16 -2.4
+1 0 0 0 0 9 9 16 -1.8
+1 0 0 0 0 9 10 16 -1.2
+1 0 0 0 0 9 11 16 -0.6
+1 0 0 0 0 9 12 16 -4.44089209850063e-16
+1 0 0 0 0 9 13 16 0.6
+1 0 0 0 0 9 14 16 1.2
+1 0 0 0 0 9 15 16 1.8
+1 0 0 0 0 9 16 16 2.4
+1 0 0 0 0 9 17 16 3
+1 0 0 0 0 9 18 16 3.6
+1 0 0 0 0 9 19 16 4.2
+1 0 0 0 0 9 20 16 4.8
+1 0 0 0 0 9 21 16 5.4
+1 0 0 0 0 9 22 16 6
+1 0 0 0 0 9 23 16 6.6
+1 0 0 0 0 9 24 16 7.2
+1 0 0 0 0 9 25 16 7.8
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 -7.2
+2 0 0 0 0 9 1 16 -6.6
+2 0 0 0 0 9 2 16 -6
+2 0 0 0 0 9 3 16 -5.4
+2 0 0 0 0 9 4 16 -4.8
+2 0 0 0 0 9 5 16 -4.2
+2 0 0 0 0 9 6 16 -3.6
+2 0 0 0 0 9 7 16 -3
+2 0 0 0 0 9 8 16 -2.4
+2 0 0 0 0 9 9 16 -1.8
+2 0 0 0 0 9 10 16 -1.2
+2 0 0 0 0 9 11 16 -0.6
+2 0 0 0 0 9 12 16 -4.44089209850063e-16
+2 0 0 0 0 9 13 16 0.6
+2 0 0 0 0 9 14 16 1.2
+2 0 0 0 0 9 15 16 1.8
+2 0 0 0 0 9 16 16 2.4
+2 0 0 0 0 9 17 16 3
+2 0 0 0 0 9 18 16 3.6
+2 0 0 0 0 9 19 16 4.2
+2 0 0 0 0 9 20 16 4.8
+2 0 0 0 0 9 21 16 5.4
+2 0 0 0 0 9 22 16 6
+2 0 0 0 0 9 23 16 6.6
+2 0 0 0 0 9 24 16 7.2
+2 0 0 0 0 9 25 16 7.8
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 -7.2
+3 0 0 0 0 9 1 16 -6.6
+3 0 0 0 0 9 2 16 -6
+3 0 0 0 0 9 3 16 -5.4
+3 0 0 0 0 9 4 16 -4.8
+3 0 0 0 0 9 5 16 -4.2
+3 0 0 0 0 9 6 16 -3.6
+3 0 0 0 0 9 7 16 -3
+3 0 0 0 0 9 8 16 -2.4
+3 0 0 0 0 9 9 16 -1.8
+3 0 0 0 0 9 10 16 -1.2
+3 0 0 0 0 9 11 16 -0.6
+3 0 0 0 0 9 12 16 -4.44089209850063e-16
+3 0 0 0 0 9 13 16 0.6
+3 0 0 0 0 9 14 16 1.2
+3 0 0 0 0 9 15 16 1.8
+3 0 0 0 0 9 16 16 2.4
+3 0 0 0 0 9 17 16 3
+3 0 0 0 0 9 18 16 3.6
+3 0 0 0 0 9 19 16 4.2
+3 0 0 0 0 9 20 16 4.8
+3 0 0 0 0 9 21 16 5.4
+3 0 0 0 0 9 22 16 6
+3 0 0 0 0 9 23 16 6.6
+3 0 0 0 0 9 24 16 7.2
+3 0 0 0 0 9 25 16 7.8
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 -7.2
+4 0 0 0 0 9 1 16 -6.6
+4 0 0 0 0 9 2 16 -6
+4 0 0 0 0 9 3 16 -5.4
+4 0 0 0 0 9 4 16 -4.8
+4 0 0 0 0 9 5 16 -4.2
+4 0 0 0 0 9 6 16 -3.6
+4 0 0 0 0 9 7 16 -3
+4 0 0 0 0 9 8 16 -2.4
+4 0 0 0 0 9 9 16 -1.8
+4 0 0 0 0 9 10 16 -1.2
+4 0 0 0 0 9 11 16 -0.6
+4 0 0 0 0 9 12 16 -4.44089209850063e-16
+4 0 0 0 0 9 13 16 0.6
+4 0 0 0 0 9 14 16 1.2
+4 0 0 0 0 9 15 16 1.8
+4 0 0 0 0 9 16 16 2.4
+4 0 0 0 0 9 17 16 3
+4 0 0 0 0 9 18 16 3.6
+4 0 0 0 0 9 19 16 4.2
+4 0 0 0 0 9 20 16 4.8
+4 0 0 0 0 9 21 16 5.4
+4 0 0 0 0 9 22 16 6
+4 0 0 0 0 9 23 16 6.6
+4 0 0 0 0 9 24 16 7.2
+4 0 0 0 0 9 25 16 7.8
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 -7.2
+5 0 0 0 0 9 1 16 -6.6
+5 0 0 0 0 9 2 16 -6
+5 0 0 0 0 9 3 16 -5.4
+5 0 0 0 0 9 4 16 -4.8
+5 0 0 0 0 9 5 16 -4.2
+5 0 0 0 0 9 6 16 -3.6
+5 0 0 0 0 9 7 16 -3
+5 0 0 0 0 9 8 16 -2.4
+5 0 0 0 0 9 9 16 -1.8
+5 0 0 0 0 9 10 16 -1.2
+5 0 0 0 0 9 11 16 -0.6
+5 0 0 0 0 9 12 16 -4.44089209850063e-16
+5 0 0 0 0 9 13 16 0.6
+5 0 0 0 0 9 14 16 1.2
+5 0 0 0 0 9 15 16 1.8
+5 0 0 0 0 9 16 16 2.4
+5 0 0 0 0 9 17 16 3
+5 0 0 0 0 9 18 16 3.6
+5 0 0 0 0 9 19 16 4.2
+5 0 0 0 0 9 20 16 4.8
+5 0 0 0 0 9 21 16 5.4
+5 0 0 0 0 9 22 16 6
+5 0 0 0 0 9 23 16 6.6
+5 0 0 0 0 9 24 16 7.2
+5 0 0 0 0 9 25 16 7.8
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 -7.2
+6 0 0 0 0 9 1 16 -6.6
+6 0 0 0 0 9 2 16 -6
+6 0 0 0 0 9 3 16 -5.4
+6 0 0 0 0 9 4 16 -4.8
+6 0 0 0 0 9 5 16 -4.2
+6 0 0 0 0 9 6 16 -3.6
+6 0 0 0 0 9 7 16 -3
+6 0 0 0 0 9 8 16 -2.4
+6 0 0 0 0 9 9 16 -1.8
+6 0 0 0 0 9 10 16 -1.2
+6 0 0 0 0 9 11 16 -0.6
+6 0 0 0 0 9 12 16 -4.44089209850063e-16
+6 0 0 0 0 9 13 16 0.6
+6 0 0 0 0 9 14 16 1.2
+6 0 0 0 0 9 15 16 1.8
+6 0 0 0 0 9 16 16 2.4
+6 0 0 0 0 9 17 16 3
+6 0 0 0 0 9 18 16 3.6
+6 0 0 0 0 9 19 16 4.2
+6 0 0 0 0 9 20 16 4.8
+6 0 0 0 0 9 21 16 5.4
+6 0 0 0 0 9 22 16 6
+6 0 0 0 0 9 23 16 6.6
+6 0 0 0 0 9 24 16 7.2
+6 0 0 0 0 9 25 16 7.8
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.zl
new file mode 100644
index 000000000..5eb528a02
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_y.zl
@@ -0,0 +1,275 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 -4.44089209850063e-16
+0 0 0 0 0 9 12 1 -4.44089209850063e-16
+0 0 0 0 0 9 12 2 -4.44089209850063e-16
+0 0 0 0 0 9 12 3 -4.44089209850063e-16
+0 0 0 0 0 9 12 4 -4.44089209850063e-16
+0 0 0 0 0 9 12 5 -4.44089209850063e-16
+0 0 0 0 0 9 12 6 -4.44089209850063e-16
+0 0 0 0 0 9 12 7 -4.44089209850063e-16
+0 0 0 0 0 9 12 8 -4.44089209850063e-16
+0 0 0 0 0 9 12 9 -4.44089209850063e-16
+0 0 0 0 0 9 12 10 -4.44089209850063e-16
+0 0 0 0 0 9 12 11 -4.44089209850063e-16
+0 0 0 0 0 9 12 12 -4.44089209850063e-16
+0 0 0 0 0 9 12 13 -4.44089209850063e-16
+0 0 0 0 0 9 12 14 -4.44089209850063e-16
+0 0 0 0 0 9 12 15 -4.44089209850063e-16
+0 0 0 0 0 9 12 16 -4.44089209850063e-16
+0 0 0 0 0 9 12 17 -4.44089209850063e-16
+0 0 0 0 0 9 12 18 -4.44089209850063e-16
+0 0 0 0 0 9 12 19 -4.44089209850063e-16
+0 0 0 0 0 9 12 20 -4.44089209850063e-16
+0 0 0 0 0 9 12 21 -4.44089209850063e-16
+0 0 0 0 0 9 12 22 -4.44089209850063e-16
+0 0 0 0 0 9 12 23 -4.44089209850063e-16
+0 0 0 0 0 9 12 24 -4.44089209850063e-16
+0 0 0 0 0 9 12 25 -4.44089209850063e-16
+0 0 0 0 0 9 12 26 -4.44089209850063e-16
+0 0 0 0 0 9 12 27 -4.44089209850063e-16
+0 0 0 0 0 9 12 28 -4.44089209850063e-16
+0 0 0 0 0 9 12 29 -4.44089209850063e-16
+0 0 0 0 0 9 12 30 -4.44089209850063e-16
+0 0 0 0 0 9 12 31 -4.44089209850063e-16
+0 0 0 0 0 9 12 32 -4.44089209850063e-16
+0 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 -4.44089209850063e-16
+1 0 0 0 0 9 12 1 -4.44089209850063e-16
+1 0 0 0 0 9 12 2 -4.44089209850063e-16
+1 0 0 0 0 9 12 3 -4.44089209850063e-16
+1 0 0 0 0 9 12 4 -4.44089209850063e-16
+1 0 0 0 0 9 12 5 -4.44089209850063e-16
+1 0 0 0 0 9 12 6 -4.44089209850063e-16
+1 0 0 0 0 9 12 7 -4.44089209850063e-16
+1 0 0 0 0 9 12 8 -4.44089209850063e-16
+1 0 0 0 0 9 12 9 -4.44089209850063e-16
+1 0 0 0 0 9 12 10 -4.44089209850063e-16
+1 0 0 0 0 9 12 11 -4.44089209850063e-16
+1 0 0 0 0 9 12 12 -4.44089209850063e-16
+1 0 0 0 0 9 12 13 -4.44089209850063e-16
+1 0 0 0 0 9 12 14 -4.44089209850063e-16
+1 0 0 0 0 9 12 15 -4.44089209850063e-16
+1 0 0 0 0 9 12 16 -4.44089209850063e-16
+1 0 0 0 0 9 12 17 -4.44089209850063e-16
+1 0 0 0 0 9 12 18 -4.44089209850063e-16
+1 0 0 0 0 9 12 19 -4.44089209850063e-16
+1 0 0 0 0 9 12 20 -4.44089209850063e-16
+1 0 0 0 0 9 12 21 -4.44089209850063e-16
+1 0 0 0 0 9 12 22 -4.44089209850063e-16
+1 0 0 0 0 9 12 23 -4.44089209850063e-16
+1 0 0 0 0 9 12 24 -4.44089209850063e-16
+1 0 0 0 0 9 12 25 -4.44089209850063e-16
+1 0 0 0 0 9 12 26 -4.44089209850063e-16
+1 0 0 0 0 9 12 27 -4.44089209850063e-16
+1 0 0 0 0 9 12 28 -4.44089209850063e-16
+1 0 0 0 0 9 12 29 -4.44089209850063e-16
+1 0 0 0 0 9 12 30 -4.44089209850063e-16
+1 0 0 0 0 9 12 31 -4.44089209850063e-16
+1 0 0 0 0 9 12 32 -4.44089209850063e-16
+1 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 -4.44089209850063e-16
+2 0 0 0 0 9 12 1 -4.44089209850063e-16
+2 0 0 0 0 9 12 2 -4.44089209850063e-16
+2 0 0 0 0 9 12 3 -4.44089209850063e-16
+2 0 0 0 0 9 12 4 -4.44089209850063e-16
+2 0 0 0 0 9 12 5 -4.44089209850063e-16
+2 0 0 0 0 9 12 6 -4.44089209850063e-16
+2 0 0 0 0 9 12 7 -4.44089209850063e-16
+2 0 0 0 0 9 12 8 -4.44089209850063e-16
+2 0 0 0 0 9 12 9 -4.44089209850063e-16
+2 0 0 0 0 9 12 10 -4.44089209850063e-16
+2 0 0 0 0 9 12 11 -4.44089209850063e-16
+2 0 0 0 0 9 12 12 -4.44089209850063e-16
+2 0 0 0 0 9 12 13 -4.44089209850063e-16
+2 0 0 0 0 9 12 14 -4.44089209850063e-16
+2 0 0 0 0 9 12 15 -4.44089209850063e-16
+2 0 0 0 0 9 12 16 -4.44089209850063e-16
+2 0 0 0 0 9 12 17 -4.44089209850063e-16
+2 0 0 0 0 9 12 18 -4.44089209850063e-16
+2 0 0 0 0 9 12 19 -4.44089209850063e-16
+2 0 0 0 0 9 12 20 -4.44089209850063e-16
+2 0 0 0 0 9 12 21 -4.44089209850063e-16
+2 0 0 0 0 9 12 22 -4.44089209850063e-16
+2 0 0 0 0 9 12 23 -4.44089209850063e-16
+2 0 0 0 0 9 12 24 -4.44089209850063e-16
+2 0 0 0 0 9 12 25 -4.44089209850063e-16
+2 0 0 0 0 9 12 26 -4.44089209850063e-16
+2 0 0 0 0 9 12 27 -4.44089209850063e-16
+2 0 0 0 0 9 12 28 -4.44089209850063e-16
+2 0 0 0 0 9 12 29 -4.44089209850063e-16
+2 0 0 0 0 9 12 30 -4.44089209850063e-16
+2 0 0 0 0 9 12 31 -4.44089209850063e-16
+2 0 0 0 0 9 12 32 -4.44089209850063e-16
+2 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 -4.44089209850063e-16
+3 0 0 0 0 9 12 1 -4.44089209850063e-16
+3 0 0 0 0 9 12 2 -4.44089209850063e-16
+3 0 0 0 0 9 12 3 -4.44089209850063e-16
+3 0 0 0 0 9 12 4 -4.44089209850063e-16
+3 0 0 0 0 9 12 5 -4.44089209850063e-16
+3 0 0 0 0 9 12 6 -4.44089209850063e-16
+3 0 0 0 0 9 12 7 -4.44089209850063e-16
+3 0 0 0 0 9 12 8 -4.44089209850063e-16
+3 0 0 0 0 9 12 9 -4.44089209850063e-16
+3 0 0 0 0 9 12 10 -4.44089209850063e-16
+3 0 0 0 0 9 12 11 -4.44089209850063e-16
+3 0 0 0 0 9 12 12 -4.44089209850063e-16
+3 0 0 0 0 9 12 13 -4.44089209850063e-16
+3 0 0 0 0 9 12 14 -4.44089209850063e-16
+3 0 0 0 0 9 12 15 -4.44089209850063e-16
+3 0 0 0 0 9 12 16 -4.44089209850063e-16
+3 0 0 0 0 9 12 17 -4.44089209850063e-16
+3 0 0 0 0 9 12 18 -4.44089209850063e-16
+3 0 0 0 0 9 12 19 -4.44089209850063e-16
+3 0 0 0 0 9 12 20 -4.44089209850063e-16
+3 0 0 0 0 9 12 21 -4.44089209850063e-16
+3 0 0 0 0 9 12 22 -4.44089209850063e-16
+3 0 0 0 0 9 12 23 -4.44089209850063e-16
+3 0 0 0 0 9 12 24 -4.44089209850063e-16
+3 0 0 0 0 9 12 25 -4.44089209850063e-16
+3 0 0 0 0 9 12 26 -4.44089209850063e-16
+3 0 0 0 0 9 12 27 -4.44089209850063e-16
+3 0 0 0 0 9 12 28 -4.44089209850063e-16
+3 0 0 0 0 9 12 29 -4.44089209850063e-16
+3 0 0 0 0 9 12 30 -4.44089209850063e-16
+3 0 0 0 0 9 12 31 -4.44089209850063e-16
+3 0 0 0 0 9 12 32 -4.44089209850063e-16
+3 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 -4.44089209850063e-16
+4 0 0 0 0 9 12 1 -4.44089209850063e-16
+4 0 0 0 0 9 12 2 -4.44089209850063e-16
+4 0 0 0 0 9 12 3 -4.44089209850063e-16
+4 0 0 0 0 9 12 4 -4.44089209850063e-16
+4 0 0 0 0 9 12 5 -4.44089209850063e-16
+4 0 0 0 0 9 12 6 -4.44089209850063e-16
+4 0 0 0 0 9 12 7 -4.44089209850063e-16
+4 0 0 0 0 9 12 8 -4.44089209850063e-16
+4 0 0 0 0 9 12 9 -4.44089209850063e-16
+4 0 0 0 0 9 12 10 -4.44089209850063e-16
+4 0 0 0 0 9 12 11 -4.44089209850063e-16
+4 0 0 0 0 9 12 12 -4.44089209850063e-16
+4 0 0 0 0 9 12 13 -4.44089209850063e-16
+4 0 0 0 0 9 12 14 -4.44089209850063e-16
+4 0 0 0 0 9 12 15 -4.44089209850063e-16
+4 0 0 0 0 9 12 16 -4.44089209850063e-16
+4 0 0 0 0 9 12 17 -4.44089209850063e-16
+4 0 0 0 0 9 12 18 -4.44089209850063e-16
+4 0 0 0 0 9 12 19 -4.44089209850063e-16
+4 0 0 0 0 9 12 20 -4.44089209850063e-16
+4 0 0 0 0 9 12 21 -4.44089209850063e-16
+4 0 0 0 0 9 12 22 -4.44089209850063e-16
+4 0 0 0 0 9 12 23 -4.44089209850063e-16
+4 0 0 0 0 9 12 24 -4.44089209850063e-16
+4 0 0 0 0 9 12 25 -4.44089209850063e-16
+4 0 0 0 0 9 12 26 -4.44089209850063e-16
+4 0 0 0 0 9 12 27 -4.44089209850063e-16
+4 0 0 0 0 9 12 28 -4.44089209850063e-16
+4 0 0 0 0 9 12 29 -4.44089209850063e-16
+4 0 0 0 0 9 12 30 -4.44089209850063e-16
+4 0 0 0 0 9 12 31 -4.44089209850063e-16
+4 0 0 0 0 9 12 32 -4.44089209850063e-16
+4 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 -4.44089209850063e-16
+5 0 0 0 0 9 12 1 -4.44089209850063e-16
+5 0 0 0 0 9 12 2 -4.44089209850063e-16
+5 0 0 0 0 9 12 3 -4.44089209850063e-16
+5 0 0 0 0 9 12 4 -4.44089209850063e-16
+5 0 0 0 0 9 12 5 -4.44089209850063e-16
+5 0 0 0 0 9 12 6 -4.44089209850063e-16
+5 0 0 0 0 9 12 7 -4.44089209850063e-16
+5 0 0 0 0 9 12 8 -4.44089209850063e-16
+5 0 0 0 0 9 12 9 -4.44089209850063e-16
+5 0 0 0 0 9 12 10 -4.44089209850063e-16
+5 0 0 0 0 9 12 11 -4.44089209850063e-16
+5 0 0 0 0 9 12 12 -4.44089209850063e-16
+5 0 0 0 0 9 12 13 -4.44089209850063e-16
+5 0 0 0 0 9 12 14 -4.44089209850063e-16
+5 0 0 0 0 9 12 15 -4.44089209850063e-16
+5 0 0 0 0 9 12 16 -4.44089209850063e-16
+5 0 0 0 0 9 12 17 -4.44089209850063e-16
+5 0 0 0 0 9 12 18 -4.44089209850063e-16
+5 0 0 0 0 9 12 19 -4.44089209850063e-16
+5 0 0 0 0 9 12 20 -4.44089209850063e-16
+5 0 0 0 0 9 12 21 -4.44089209850063e-16
+5 0 0 0 0 9 12 22 -4.44089209850063e-16
+5 0 0 0 0 9 12 23 -4.44089209850063e-16
+5 0 0 0 0 9 12 24 -4.44089209850063e-16
+5 0 0 0 0 9 12 25 -4.44089209850063e-16
+5 0 0 0 0 9 12 26 -4.44089209850063e-16
+5 0 0 0 0 9 12 27 -4.44089209850063e-16
+5 0 0 0 0 9 12 28 -4.44089209850063e-16
+5 0 0 0 0 9 12 29 -4.44089209850063e-16
+5 0 0 0 0 9 12 30 -4.44089209850063e-16
+5 0 0 0 0 9 12 31 -4.44089209850063e-16
+5 0 0 0 0 9 12 32 -4.44089209850063e-16
+5 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 -4.44089209850063e-16
+6 0 0 0 0 9 12 1 -4.44089209850063e-16
+6 0 0 0 0 9 12 2 -4.44089209850063e-16
+6 0 0 0 0 9 12 3 -4.44089209850063e-16
+6 0 0 0 0 9 12 4 -4.44089209850063e-16
+6 0 0 0 0 9 12 5 -4.44089209850063e-16
+6 0 0 0 0 9 12 6 -4.44089209850063e-16
+6 0 0 0 0 9 12 7 -4.44089209850063e-16
+6 0 0 0 0 9 12 8 -4.44089209850063e-16
+6 0 0 0 0 9 12 9 -4.44089209850063e-16
+6 0 0 0 0 9 12 10 -4.44089209850063e-16
+6 0 0 0 0 9 12 11 -4.44089209850063e-16
+6 0 0 0 0 9 12 12 -4.44089209850063e-16
+6 0 0 0 0 9 12 13 -4.44089209850063e-16
+6 0 0 0 0 9 12 14 -4.44089209850063e-16
+6 0 0 0 0 9 12 15 -4.44089209850063e-16
+6 0 0 0 0 9 12 16 -4.44089209850063e-16
+6 0 0 0 0 9 12 17 -4.44089209850063e-16
+6 0 0 0 0 9 12 18 -4.44089209850063e-16
+6 0 0 0 0 9 12 19 -4.44089209850063e-16
+6 0 0 0 0 9 12 20 -4.44089209850063e-16
+6 0 0 0 0 9 12 21 -4.44089209850063e-16
+6 0 0 0 0 9 12 22 -4.44089209850063e-16
+6 0 0 0 0 9 12 23 -4.44089209850063e-16
+6 0 0 0 0 9 12 24 -4.44089209850063e-16
+6 0 0 0 0 9 12 25 -4.44089209850063e-16
+6 0 0 0 0 9 12 26 -4.44089209850063e-16
+6 0 0 0 0 9 12 27 -4.44089209850063e-16
+6 0 0 0 0 9 12 28 -4.44089209850063e-16
+6 0 0 0 0 9 12 29 -4.44089209850063e-16
+6 0 0 0 0 9 12 30 -4.44089209850063e-16
+6 0 0 0 0 9 12 31 -4.44089209850063e-16
+6 0 0 0 0 9 12 32 -4.44089209850063e-16
+6 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.xl
new file mode 100644
index 000000000..ec487ca98
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.xl
@@ -0,0 +1,170 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 0
+0 0 0 0 0 1 12 16 0
+0 0 0 0 0 2 12 16 0
+0 0 0 0 0 3 12 16 0
+0 0 0 0 0 4 12 16 0
+0 0 0 0 0 5 12 16 0
+0 0 0 0 0 6 12 16 0
+0 0 0 0 0 7 12 16 0
+0 0 0 0 0 8 12 16 0
+0 0 0 0 0 9 12 16 0
+0 0 0 0 0 10 12 16 0
+0 0 0 0 0 11 12 16 0
+0 0 0 0 0 12 12 16 0
+0 0 0 0 0 13 12 16 0
+0 0 0 0 0 14 12 16 0
+0 0 0 0 0 15 12 16 0
+0 0 0 0 0 16 12 16 0
+0 0 0 0 0 17 12 16 0
+0 0 0 0 0 18 12 16 0
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 0
+1 0 0 0 0 1 12 16 0
+1 0 0 0 0 2 12 16 0
+1 0 0 0 0 3 12 16 0
+1 0 0 0 0 4 12 16 0
+1 0 0 0 0 5 12 16 0
+1 0 0 0 0 6 12 16 0
+1 0 0 0 0 7 12 16 0
+1 0 0 0 0 8 12 16 0
+1 0 0 0 0 9 12 16 0
+1 0 0 0 0 10 12 16 0
+1 0 0 0 0 11 12 16 0
+1 0 0 0 0 12 12 16 0
+1 0 0 0 0 13 12 16 0
+1 0 0 0 0 14 12 16 0
+1 0 0 0 0 15 12 16 0
+1 0 0 0 0 16 12 16 0
+1 0 0 0 0 17 12 16 0
+1 0 0 0 0 18 12 16 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 0
+2 0 0 0 0 1 12 16 0
+2 0 0 0 0 2 12 16 0
+2 0 0 0 0 3 12 16 0
+2 0 0 0 0 4 12 16 0
+2 0 0 0 0 5 12 16 0
+2 0 0 0 0 6 12 16 0
+2 0 0 0 0 7 12 16 0
+2 0 0 0 0 8 12 16 0
+2 0 0 0 0 9 12 16 0
+2 0 0 0 0 10 12 16 0
+2 0 0 0 0 11 12 16 0
+2 0 0 0 0 12 12 16 0
+2 0 0 0 0 13 12 16 0
+2 0 0 0 0 14 12 16 0
+2 0 0 0 0 15 12 16 0
+2 0 0 0 0 16 12 16 0
+2 0 0 0 0 17 12 16 0
+2 0 0 0 0 18 12 16 0
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 0
+3 0 0 0 0 1 12 16 0
+3 0 0 0 0 2 12 16 0
+3 0 0 0 0 3 12 16 0
+3 0 0 0 0 4 12 16 0
+3 0 0 0 0 5 12 16 0
+3 0 0 0 0 6 12 16 0
+3 0 0 0 0 7 12 16 0
+3 0 0 0 0 8 12 16 0
+3 0 0 0 0 9 12 16 0
+3 0 0 0 0 10 12 16 0
+3 0 0 0 0 11 12 16 0
+3 0 0 0 0 12 12 16 0
+3 0 0 0 0 13 12 16 0
+3 0 0 0 0 14 12 16 0
+3 0 0 0 0 15 12 16 0
+3 0 0 0 0 16 12 16 0
+3 0 0 0 0 17 12 16 0
+3 0 0 0 0 18 12 16 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 0
+4 0 0 0 0 1 12 16 0
+4 0 0 0 0 2 12 16 0
+4 0 0 0 0 3 12 16 0
+4 0 0 0 0 4 12 16 0
+4 0 0 0 0 5 12 16 0
+4 0 0 0 0 6 12 16 0
+4 0 0 0 0 7 12 16 0
+4 0 0 0 0 8 12 16 0
+4 0 0 0 0 9 12 16 0
+4 0 0 0 0 10 12 16 0
+4 0 0 0 0 11 12 16 0
+4 0 0 0 0 12 12 16 0
+4 0 0 0 0 13 12 16 0
+4 0 0 0 0 14 12 16 0
+4 0 0 0 0 15 12 16 0
+4 0 0 0 0 16 12 16 0
+4 0 0 0 0 17 12 16 0
+4 0 0 0 0 18 12 16 0
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 0
+5 0 0 0 0 1 12 16 0
+5 0 0 0 0 2 12 16 0
+5 0 0 0 0 3 12 16 0
+5 0 0 0 0 4 12 16 0
+5 0 0 0 0 5 12 16 0
+5 0 0 0 0 6 12 16 0
+5 0 0 0 0 7 12 16 0
+5 0 0 0 0 8 12 16 0
+5 0 0 0 0 9 12 16 0
+5 0 0 0 0 10 12 16 0
+5 0 0 0 0 11 12 16 0
+5 0 0 0 0 12 12 16 0
+5 0 0 0 0 13 12 16 0
+5 0 0 0 0 14 12 16 0
+5 0 0 0 0 15 12 16 0
+5 0 0 0 0 16 12 16 0
+5 0 0 0 0 17 12 16 0
+5 0 0 0 0 18 12 16 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 0
+6 0 0 0 0 1 12 16 0
+6 0 0 0 0 2 12 16 0
+6 0 0 0 0 3 12 16 0
+6 0 0 0 0 4 12 16 0
+6 0 0 0 0 5 12 16 0
+6 0 0 0 0 6 12 16 0
+6 0 0 0 0 7 12 16 0
+6 0 0 0 0 8 12 16 0
+6 0 0 0 0 9 12 16 0
+6 0 0 0 0 10 12 16 0
+6 0 0 0 0 11 12 16 0
+6 0 0 0 0 12 12 16 0
+6 0 0 0 0 13 12 16 0
+6 0 0 0 0 14 12 16 0
+6 0 0 0 0 15 12 16 0
+6 0 0 0 0 16 12 16 0
+6 0 0 0 0 17 12 16 0
+6 0 0 0 0 18 12 16 0
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.yl
new file mode 100644
index 000000000..c52bfeb8e
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.yl
@@ -0,0 +1,219 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 0
+0 0 0 0 0 9 1 16 0
+0 0 0 0 0 9 2 16 0
+0 0 0 0 0 9 3 16 0
+0 0 0 0 0 9 4 16 0
+0 0 0 0 0 9 5 16 0
+0 0 0 0 0 9 6 16 0
+0 0 0 0 0 9 7 16 0
+0 0 0 0 0 9 8 16 0
+0 0 0 0 0 9 9 16 0
+0 0 0 0 0 9 10 16 0
+0 0 0 0 0 9 11 16 0
+0 0 0 0 0 9 12 16 0
+0 0 0 0 0 9 13 16 0
+0 0 0 0 0 9 14 16 0
+0 0 0 0 0 9 15 16 0
+0 0 0 0 0 9 16 16 0
+0 0 0 0 0 9 17 16 0
+0 0 0 0 0 9 18 16 0
+0 0 0 0 0 9 19 16 0
+0 0 0 0 0 9 20 16 0
+0 0 0 0 0 9 21 16 0
+0 0 0 0 0 9 22 16 0
+0 0 0 0 0 9 23 16 0
+0 0 0 0 0 9 24 16 0
+0 0 0 0 0 9 25 16 0
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 0
+1 0 0 0 0 9 1 16 0
+1 0 0 0 0 9 2 16 0
+1 0 0 0 0 9 3 16 0
+1 0 0 0 0 9 4 16 0
+1 0 0 0 0 9 5 16 0
+1 0 0 0 0 9 6 16 0
+1 0 0 0 0 9 7 16 0
+1 0 0 0 0 9 8 16 0
+1 0 0 0 0 9 9 16 0
+1 0 0 0 0 9 10 16 0
+1 0 0 0 0 9 11 16 0
+1 0 0 0 0 9 12 16 0
+1 0 0 0 0 9 13 16 0
+1 0 0 0 0 9 14 16 0
+1 0 0 0 0 9 15 16 0
+1 0 0 0 0 9 16 16 0
+1 0 0 0 0 9 17 16 0
+1 0 0 0 0 9 18 16 0
+1 0 0 0 0 9 19 16 0
+1 0 0 0 0 9 20 16 0
+1 0 0 0 0 9 21 16 0
+1 0 0 0 0 9 22 16 0
+1 0 0 0 0 9 23 16 0
+1 0 0 0 0 9 24 16 0
+1 0 0 0 0 9 25 16 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 0
+2 0 0 0 0 9 1 16 0
+2 0 0 0 0 9 2 16 0
+2 0 0 0 0 9 3 16 0
+2 0 0 0 0 9 4 16 0
+2 0 0 0 0 9 5 16 0
+2 0 0 0 0 9 6 16 0
+2 0 0 0 0 9 7 16 0
+2 0 0 0 0 9 8 16 0
+2 0 0 0 0 9 9 16 0
+2 0 0 0 0 9 10 16 0
+2 0 0 0 0 9 11 16 0
+2 0 0 0 0 9 12 16 0
+2 0 0 0 0 9 13 16 0
+2 0 0 0 0 9 14 16 0
+2 0 0 0 0 9 15 16 0
+2 0 0 0 0 9 16 16 0
+2 0 0 0 0 9 17 16 0
+2 0 0 0 0 9 18 16 0
+2 0 0 0 0 9 19 16 0
+2 0 0 0 0 9 20 16 0
+2 0 0 0 0 9 21 16 0
+2 0 0 0 0 9 22 16 0
+2 0 0 0 0 9 23 16 0
+2 0 0 0 0 9 24 16 0
+2 0 0 0 0 9 25 16 0
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 0
+3 0 0 0 0 9 1 16 0
+3 0 0 0 0 9 2 16 0
+3 0 0 0 0 9 3 16 0
+3 0 0 0 0 9 4 16 0
+3 0 0 0 0 9 5 16 0
+3 0 0 0 0 9 6 16 0
+3 0 0 0 0 9 7 16 0
+3 0 0 0 0 9 8 16 0
+3 0 0 0 0 9 9 16 0
+3 0 0 0 0 9 10 16 0
+3 0 0 0 0 9 11 16 0
+3 0 0 0 0 9 12 16 0
+3 0 0 0 0 9 13 16 0
+3 0 0 0 0 9 14 16 0
+3 0 0 0 0 9 15 16 0
+3 0 0 0 0 9 16 16 0
+3 0 0 0 0 9 17 16 0
+3 0 0 0 0 9 18 16 0
+3 0 0 0 0 9 19 16 0
+3 0 0 0 0 9 20 16 0
+3 0 0 0 0 9 21 16 0
+3 0 0 0 0 9 22 16 0
+3 0 0 0 0 9 23 16 0
+3 0 0 0 0 9 24 16 0
+3 0 0 0 0 9 25 16 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 0
+4 0 0 0 0 9 1 16 0
+4 0 0 0 0 9 2 16 0
+4 0 0 0 0 9 3 16 0
+4 0 0 0 0 9 4 16 0
+4 0 0 0 0 9 5 16 0
+4 0 0 0 0 9 6 16 0
+4 0 0 0 0 9 7 16 0
+4 0 0 0 0 9 8 16 0
+4 0 0 0 0 9 9 16 0
+4 0 0 0 0 9 10 16 0
+4 0 0 0 0 9 11 16 0
+4 0 0 0 0 9 12 16 0
+4 0 0 0 0 9 13 16 0
+4 0 0 0 0 9 14 16 0
+4 0 0 0 0 9 15 16 0
+4 0 0 0 0 9 16 16 0
+4 0 0 0 0 9 17 16 0
+4 0 0 0 0 9 18 16 0
+4 0 0 0 0 9 19 16 0
+4 0 0 0 0 9 20 16 0
+4 0 0 0 0 9 21 16 0
+4 0 0 0 0 9 22 16 0
+4 0 0 0 0 9 23 16 0
+4 0 0 0 0 9 24 16 0
+4 0 0 0 0 9 25 16 0
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 0
+5 0 0 0 0 9 1 16 0
+5 0 0 0 0 9 2 16 0
+5 0 0 0 0 9 3 16 0
+5 0 0 0 0 9 4 16 0
+5 0 0 0 0 9 5 16 0
+5 0 0 0 0 9 6 16 0
+5 0 0 0 0 9 7 16 0
+5 0 0 0 0 9 8 16 0
+5 0 0 0 0 9 9 16 0
+5 0 0 0 0 9 10 16 0
+5 0 0 0 0 9 11 16 0
+5 0 0 0 0 9 12 16 0
+5 0 0 0 0 9 13 16 0
+5 0 0 0 0 9 14 16 0
+5 0 0 0 0 9 15 16 0
+5 0 0 0 0 9 16 16 0
+5 0 0 0 0 9 17 16 0
+5 0 0 0 0 9 18 16 0
+5 0 0 0 0 9 19 16 0
+5 0 0 0 0 9 20 16 0
+5 0 0 0 0 9 21 16 0
+5 0 0 0 0 9 22 16 0
+5 0 0 0 0 9 23 16 0
+5 0 0 0 0 9 24 16 0
+5 0 0 0 0 9 25 16 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 0
+6 0 0 0 0 9 1 16 0
+6 0 0 0 0 9 2 16 0
+6 0 0 0 0 9 3 16 0
+6 0 0 0 0 9 4 16 0
+6 0 0 0 0 9 5 16 0
+6 0 0 0 0 9 6 16 0
+6 0 0 0 0 9 7 16 0
+6 0 0 0 0 9 8 16 0
+6 0 0 0 0 9 9 16 0
+6 0 0 0 0 9 10 16 0
+6 0 0 0 0 9 11 16 0
+6 0 0 0 0 9 12 16 0
+6 0 0 0 0 9 13 16 0
+6 0 0 0 0 9 14 16 0
+6 0 0 0 0 9 15 16 0
+6 0 0 0 0 9 16 16 0
+6 0 0 0 0 9 17 16 0
+6 0 0 0 0 9 18 16 0
+6 0 0 0 0 9 19 16 0
+6 0 0 0 0 9 20 16 0
+6 0 0 0 0 9 21 16 0
+6 0 0 0 0 9 22 16 0
+6 0 0 0 0 9 23 16 0
+6 0 0 0 0 9 24 16 0
+6 0 0 0 0 9 25 16 0
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.zl
new file mode 100644
index 000000000..53d0c0b35
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/cart3d_z.zl
@@ -0,0 +1,275 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 -9.6
+0 0 0 0 0 9 12 1 -9
+0 0 0 0 0 9 12 2 -8.4
+0 0 0 0 0 9 12 3 -7.8
+0 0 0 0 0 9 12 4 -7.2
+0 0 0 0 0 9 12 5 -6.6
+0 0 0 0 0 9 12 6 -6
+0 0 0 0 0 9 12 7 -5.4
+0 0 0 0 0 9 12 8 -4.8
+0 0 0 0 0 9 12 9 -4.2
+0 0 0 0 0 9 12 10 -3.6
+0 0 0 0 0 9 12 11 -3
+0 0 0 0 0 9 12 12 -2.4
+0 0 0 0 0 9 12 13 -1.8
+0 0 0 0 0 9 12 14 -1.2
+0 0 0 0 0 9 12 15 -0.6
+0 0 0 0 0 9 12 16 0
+0 0 0 0 0 9 12 17 0.6
+0 0 0 0 0 9 12 18 1.2
+0 0 0 0 0 9 12 19 1.8
+0 0 0 0 0 9 12 20 2.4
+0 0 0 0 0 9 12 21 3
+0 0 0 0 0 9 12 22 3.6
+0 0 0 0 0 9 12 23 4.2
+0 0 0 0 0 9 12 24 4.8
+0 0 0 0 0 9 12 25 5.4
+0 0 0 0 0 9 12 26 6
+0 0 0 0 0 9 12 27 6.6
+0 0 0 0 0 9 12 28 7.2
+0 0 0 0 0 9 12 29 7.8
+0 0 0 0 0 9 12 30 8.4
+0 0 0 0 0 9 12 31 9
+0 0 0 0 0 9 12 32 9.6
+0 0 0 0 0 9 12 33 10.2
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 -9.6
+1 0 0 0 0 9 12 1 -9
+1 0 0 0 0 9 12 2 -8.4
+1 0 0 0 0 9 12 3 -7.8
+1 0 0 0 0 9 12 4 -7.2
+1 0 0 0 0 9 12 5 -6.6
+1 0 0 0 0 9 12 6 -6
+1 0 0 0 0 9 12 7 -5.4
+1 0 0 0 0 9 12 8 -4.8
+1 0 0 0 0 9 12 9 -4.2
+1 0 0 0 0 9 12 10 -3.6
+1 0 0 0 0 9 12 11 -3
+1 0 0 0 0 9 12 12 -2.4
+1 0 0 0 0 9 12 13 -1.8
+1 0 0 0 0 9 12 14 -1.2
+1 0 0 0 0 9 12 15 -0.6
+1 0 0 0 0 9 12 16 0
+1 0 0 0 0 9 12 17 0.6
+1 0 0 0 0 9 12 18 1.2
+1 0 0 0 0 9 12 19 1.8
+1 0 0 0 0 9 12 20 2.4
+1 0 0 0 0 9 12 21 3
+1 0 0 0 0 9 12 22 3.6
+1 0 0 0 0 9 12 23 4.2
+1 0 0 0 0 9 12 24 4.8
+1 0 0 0 0 9 12 25 5.4
+1 0 0 0 0 9 12 26 6
+1 0 0 0 0 9 12 27 6.6
+1 0 0 0 0 9 12 28 7.2
+1 0 0 0 0 9 12 29 7.8
+1 0 0 0 0 9 12 30 8.4
+1 0 0 0 0 9 12 31 9
+1 0 0 0 0 9 12 32 9.6
+1 0 0 0 0 9 12 33 10.2
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 -9.6
+2 0 0 0 0 9 12 1 -9
+2 0 0 0 0 9 12 2 -8.4
+2 0 0 0 0 9 12 3 -7.8
+2 0 0 0 0 9 12 4 -7.2
+2 0 0 0 0 9 12 5 -6.6
+2 0 0 0 0 9 12 6 -6
+2 0 0 0 0 9 12 7 -5.4
+2 0 0 0 0 9 12 8 -4.8
+2 0 0 0 0 9 12 9 -4.2
+2 0 0 0 0 9 12 10 -3.6
+2 0 0 0 0 9 12 11 -3
+2 0 0 0 0 9 12 12 -2.4
+2 0 0 0 0 9 12 13 -1.8
+2 0 0 0 0 9 12 14 -1.2
+2 0 0 0 0 9 12 15 -0.6
+2 0 0 0 0 9 12 16 0
+2 0 0 0 0 9 12 17 0.6
+2 0 0 0 0 9 12 18 1.2
+2 0 0 0 0 9 12 19 1.8
+2 0 0 0 0 9 12 20 2.4
+2 0 0 0 0 9 12 21 3
+2 0 0 0 0 9 12 22 3.6
+2 0 0 0 0 9 12 23 4.2
+2 0 0 0 0 9 12 24 4.8
+2 0 0 0 0 9 12 25 5.4
+2 0 0 0 0 9 12 26 6
+2 0 0 0 0 9 12 27 6.6
+2 0 0 0 0 9 12 28 7.2
+2 0 0 0 0 9 12 29 7.8
+2 0 0 0 0 9 12 30 8.4
+2 0 0 0 0 9 12 31 9
+2 0 0 0 0 9 12 32 9.6
+2 0 0 0 0 9 12 33 10.2
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 -9.6
+3 0 0 0 0 9 12 1 -9
+3 0 0 0 0 9 12 2 -8.4
+3 0 0 0 0 9 12 3 -7.8
+3 0 0 0 0 9 12 4 -7.2
+3 0 0 0 0 9 12 5 -6.6
+3 0 0 0 0 9 12 6 -6
+3 0 0 0 0 9 12 7 -5.4
+3 0 0 0 0 9 12 8 -4.8
+3 0 0 0 0 9 12 9 -4.2
+3 0 0 0 0 9 12 10 -3.6
+3 0 0 0 0 9 12 11 -3
+3 0 0 0 0 9 12 12 -2.4
+3 0 0 0 0 9 12 13 -1.8
+3 0 0 0 0 9 12 14 -1.2
+3 0 0 0 0 9 12 15 -0.6
+3 0 0 0 0 9 12 16 0
+3 0 0 0 0 9 12 17 0.6
+3 0 0 0 0 9 12 18 1.2
+3 0 0 0 0 9 12 19 1.8
+3 0 0 0 0 9 12 20 2.4
+3 0 0 0 0 9 12 21 3
+3 0 0 0 0 9 12 22 3.6
+3 0 0 0 0 9 12 23 4.2
+3 0 0 0 0 9 12 24 4.8
+3 0 0 0 0 9 12 25 5.4
+3 0 0 0 0 9 12 26 6
+3 0 0 0 0 9 12 27 6.6
+3 0 0 0 0 9 12 28 7.2
+3 0 0 0 0 9 12 29 7.8
+3 0 0 0 0 9 12 30 8.4
+3 0 0 0 0 9 12 31 9
+3 0 0 0 0 9 12 32 9.6
+3 0 0 0 0 9 12 33 10.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 -9.6
+4 0 0 0 0 9 12 1 -9
+4 0 0 0 0 9 12 2 -8.4
+4 0 0 0 0 9 12 3 -7.8
+4 0 0 0 0 9 12 4 -7.2
+4 0 0 0 0 9 12 5 -6.6
+4 0 0 0 0 9 12 6 -6
+4 0 0 0 0 9 12 7 -5.4
+4 0 0 0 0 9 12 8 -4.8
+4 0 0 0 0 9 12 9 -4.2
+4 0 0 0 0 9 12 10 -3.6
+4 0 0 0 0 9 12 11 -3
+4 0 0 0 0 9 12 12 -2.4
+4 0 0 0 0 9 12 13 -1.8
+4 0 0 0 0 9 12 14 -1.2
+4 0 0 0 0 9 12 15 -0.6
+4 0 0 0 0 9 12 16 0
+4 0 0 0 0 9 12 17 0.6
+4 0 0 0 0 9 12 18 1.2
+4 0 0 0 0 9 12 19 1.8
+4 0 0 0 0 9 12 20 2.4
+4 0 0 0 0 9 12 21 3
+4 0 0 0 0 9 12 22 3.6
+4 0 0 0 0 9 12 23 4.2
+4 0 0 0 0 9 12 24 4.8
+4 0 0 0 0 9 12 25 5.4
+4 0 0 0 0 9 12 26 6
+4 0 0 0 0 9 12 27 6.6
+4 0 0 0 0 9 12 28 7.2
+4 0 0 0 0 9 12 29 7.8
+4 0 0 0 0 9 12 30 8.4
+4 0 0 0 0 9 12 31 9
+4 0 0 0 0 9 12 32 9.6
+4 0 0 0 0 9 12 33 10.2
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 -9.6
+5 0 0 0 0 9 12 1 -9
+5 0 0 0 0 9 12 2 -8.4
+5 0 0 0 0 9 12 3 -7.8
+5 0 0 0 0 9 12 4 -7.2
+5 0 0 0 0 9 12 5 -6.6
+5 0 0 0 0 9 12 6 -6
+5 0 0 0 0 9 12 7 -5.4
+5 0 0 0 0 9 12 8 -4.8
+5 0 0 0 0 9 12 9 -4.2
+5 0 0 0 0 9 12 10 -3.6
+5 0 0 0 0 9 12 11 -3
+5 0 0 0 0 9 12 12 -2.4
+5 0 0 0 0 9 12 13 -1.8
+5 0 0 0 0 9 12 14 -1.2
+5 0 0 0 0 9 12 15 -0.6
+5 0 0 0 0 9 12 16 0
+5 0 0 0 0 9 12 17 0.6
+5 0 0 0 0 9 12 18 1.2
+5 0 0 0 0 9 12 19 1.8
+5 0 0 0 0 9 12 20 2.4
+5 0 0 0 0 9 12 21 3
+5 0 0 0 0 9 12 22 3.6
+5 0 0 0 0 9 12 23 4.2
+5 0 0 0 0 9 12 24 4.8
+5 0 0 0 0 9 12 25 5.4
+5 0 0 0 0 9 12 26 6
+5 0 0 0 0 9 12 27 6.6
+5 0 0 0 0 9 12 28 7.2
+5 0 0 0 0 9 12 29 7.8
+5 0 0 0 0 9 12 30 8.4
+5 0 0 0 0 9 12 31 9
+5 0 0 0 0 9 12 32 9.6
+5 0 0 0 0 9 12 33 10.2
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 -9.6
+6 0 0 0 0 9 12 1 -9
+6 0 0 0 0 9 12 2 -8.4
+6 0 0 0 0 9 12 3 -7.8
+6 0 0 0 0 9 12 4 -7.2
+6 0 0 0 0 9 12 5 -6.6
+6 0 0 0 0 9 12 6 -6
+6 0 0 0 0 9 12 7 -5.4
+6 0 0 0 0 9 12 8 -4.8
+6 0 0 0 0 9 12 9 -4.2
+6 0 0 0 0 9 12 10 -3.6
+6 0 0 0 0 9 12 11 -3
+6 0 0 0 0 9 12 12 -2.4
+6 0 0 0 0 9 12 13 -1.8
+6 0 0 0 0 9 12 14 -1.2
+6 0 0 0 0 9 12 15 -0.6
+6 0 0 0 0 9 12 16 0
+6 0 0 0 0 9 12 17 0.6
+6 0 0 0 0 9 12 18 1.2
+6 0 0 0 0 9 12 19 1.8
+6 0 0 0 0 9 12 20 2.4
+6 0 0 0 0 9 12 21 3
+6 0 0 0 0 9 12 22 3.6
+6 0 0 0 0 9 12 23 4.2
+6 0 0 0 0 9 12 24 4.8
+6 0 0 0 0 9 12 25 5.4
+6 0 0 0 0 9 12 26 6
+6 0 0 0 0 9 12 27 6.6
+6 0 0 0 0 9 12 28 7.2
+6 0 0 0 0 9 12 29 7.8
+6 0 0 0 0 9 12 30 8.4
+6 0 0 0 0 9 12 31 9
+6 0 0 0 0 9 12 32 9.6
+6 0 0 0 0 9 12 33 10.2
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.xl
new file mode 100644
index 000000000..5c26840e3
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.xl
@@ -0,0 +1,170 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 5.4
+0 0 0 0 0 1 12 16 4.8
+0 0 0 0 0 2 12 16 4.2
+0 0 0 0 0 3 12 16 3.6
+0 0 0 0 0 4 12 16 3
+0 0 0 0 0 5 12 16 2.4
+0 0 0 0 0 6 12 16 1.8
+0 0 0 0 0 7 12 16 1.2
+0 0 0 0 0 8 12 16 0.6
+0 0 0 0 0 9 12 16 6.2803698347351e-16
+0 0 0 0 0 10 12 16 0.600000000000001
+0 0 0 0 0 11 12 16 1.2
+0 0 0 0 0 12 12 16 1.8
+0 0 0 0 0 13 12 16 2.4
+0 0 0 0 0 14 12 16 3
+0 0 0 0 0 15 12 16 3.6
+0 0 0 0 0 16 12 16 4.2
+0 0 0 0 0 17 12 16 4.8
+0 0 0 0 0 18 12 16 5.4
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 5.4
+1 0 0 0 0 1 12 16 4.8
+1 0 0 0 0 2 12 16 4.2
+1 0 0 0 0 3 12 16 3.6
+1 0 0 0 0 4 12 16 3
+1 0 0 0 0 5 12 16 2.4
+1 0 0 0 0 6 12 16 1.8
+1 0 0 0 0 7 12 16 1.2
+1 0 0 0 0 8 12 16 0.6
+1 0 0 0 0 9 12 16 6.2803698347351e-16
+1 0 0 0 0 10 12 16 0.600000000000001
+1 0 0 0 0 11 12 16 1.2
+1 0 0 0 0 12 12 16 1.8
+1 0 0 0 0 13 12 16 2.4
+1 0 0 0 0 14 12 16 3
+1 0 0 0 0 15 12 16 3.6
+1 0 0 0 0 16 12 16 4.2
+1 0 0 0 0 17 12 16 4.8
+1 0 0 0 0 18 12 16 5.4
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 5.4
+2 0 0 0 0 1 12 16 4.8
+2 0 0 0 0 2 12 16 4.2
+2 0 0 0 0 3 12 16 3.6
+2 0 0 0 0 4 12 16 3
+2 0 0 0 0 5 12 16 2.4
+2 0 0 0 0 6 12 16 1.8
+2 0 0 0 0 7 12 16 1.2
+2 0 0 0 0 8 12 16 0.6
+2 0 0 0 0 9 12 16 6.2803698347351e-16
+2 0 0 0 0 10 12 16 0.600000000000001
+2 0 0 0 0 11 12 16 1.2
+2 0 0 0 0 12 12 16 1.8
+2 0 0 0 0 13 12 16 2.4
+2 0 0 0 0 14 12 16 3
+2 0 0 0 0 15 12 16 3.6
+2 0 0 0 0 16 12 16 4.2
+2 0 0 0 0 17 12 16 4.8
+2 0 0 0 0 18 12 16 5.4
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 5.4
+3 0 0 0 0 1 12 16 4.8
+3 0 0 0 0 2 12 16 4.2
+3 0 0 0 0 3 12 16 3.6
+3 0 0 0 0 4 12 16 3
+3 0 0 0 0 5 12 16 2.4
+3 0 0 0 0 6 12 16 1.8
+3 0 0 0 0 7 12 16 1.2
+3 0 0 0 0 8 12 16 0.6
+3 0 0 0 0 9 12 16 6.2803698347351e-16
+3 0 0 0 0 10 12 16 0.600000000000001
+3 0 0 0 0 11 12 16 1.2
+3 0 0 0 0 12 12 16 1.8
+3 0 0 0 0 13 12 16 2.4
+3 0 0 0 0 14 12 16 3
+3 0 0 0 0 15 12 16 3.6
+3 0 0 0 0 16 12 16 4.2
+3 0 0 0 0 17 12 16 4.8
+3 0 0 0 0 18 12 16 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 5.4
+4 0 0 0 0 1 12 16 4.8
+4 0 0 0 0 2 12 16 4.2
+4 0 0 0 0 3 12 16 3.6
+4 0 0 0 0 4 12 16 3
+4 0 0 0 0 5 12 16 2.4
+4 0 0 0 0 6 12 16 1.8
+4 0 0 0 0 7 12 16 1.2
+4 0 0 0 0 8 12 16 0.6
+4 0 0 0 0 9 12 16 6.2803698347351e-16
+4 0 0 0 0 10 12 16 0.600000000000001
+4 0 0 0 0 11 12 16 1.2
+4 0 0 0 0 12 12 16 1.8
+4 0 0 0 0 13 12 16 2.4
+4 0 0 0 0 14 12 16 3
+4 0 0 0 0 15 12 16 3.6
+4 0 0 0 0 16 12 16 4.2
+4 0 0 0 0 17 12 16 4.8
+4 0 0 0 0 18 12 16 5.4
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 5.4
+5 0 0 0 0 1 12 16 4.8
+5 0 0 0 0 2 12 16 4.2
+5 0 0 0 0 3 12 16 3.6
+5 0 0 0 0 4 12 16 3
+5 0 0 0 0 5 12 16 2.4
+5 0 0 0 0 6 12 16 1.8
+5 0 0 0 0 7 12 16 1.2
+5 0 0 0 0 8 12 16 0.6
+5 0 0 0 0 9 12 16 6.2803698347351e-16
+5 0 0 0 0 10 12 16 0.600000000000001
+5 0 0 0 0 11 12 16 1.2
+5 0 0 0 0 12 12 16 1.8
+5 0 0 0 0 13 12 16 2.4
+5 0 0 0 0 14 12 16 3
+5 0 0 0 0 15 12 16 3.6
+5 0 0 0 0 16 12 16 4.2
+5 0 0 0 0 17 12 16 4.8
+5 0 0 0 0 18 12 16 5.4
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 5.4
+6 0 0 0 0 1 12 16 4.8
+6 0 0 0 0 2 12 16 4.2
+6 0 0 0 0 3 12 16 3.6
+6 0 0 0 0 4 12 16 3
+6 0 0 0 0 5 12 16 2.4
+6 0 0 0 0 6 12 16 1.8
+6 0 0 0 0 7 12 16 1.2
+6 0 0 0 0 8 12 16 0.6
+6 0 0 0 0 9 12 16 6.2803698347351e-16
+6 0 0 0 0 10 12 16 0.600000000000001
+6 0 0 0 0 11 12 16 1.2
+6 0 0 0 0 12 12 16 1.8
+6 0 0 0 0 13 12 16 2.4
+6 0 0 0 0 14 12 16 3
+6 0 0 0 0 15 12 16 3.6
+6 0 0 0 0 16 12 16 4.2
+6 0 0 0 0 17 12 16 4.8
+6 0 0 0 0 18 12 16 5.4
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.yl
new file mode 100644
index 000000000..3dccc92e2
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.yl
@@ -0,0 +1,219 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 7.2
+0 0 0 0 0 9 1 16 6.6
+0 0 0 0 0 9 2 16 6
+0 0 0 0 0 9 3 16 5.4
+0 0 0 0 0 9 4 16 4.8
+0 0 0 0 0 9 5 16 4.2
+0 0 0 0 0 9 6 16 3.6
+0 0 0 0 0 9 7 16 3
+0 0 0 0 0 9 8 16 2.4
+0 0 0 0 0 9 9 16 1.8
+0 0 0 0 0 9 10 16 1.2
+0 0 0 0 0 9 11 16 0.6
+0 0 0 0 0 9 12 16 6.2803698347351e-16
+0 0 0 0 0 9 13 16 0.6
+0 0 0 0 0 9 14 16 1.2
+0 0 0 0 0 9 15 16 1.8
+0 0 0 0 0 9 16 16 2.4
+0 0 0 0 0 9 17 16 3
+0 0 0 0 0 9 18 16 3.6
+0 0 0 0 0 9 19 16 4.2
+0 0 0 0 0 9 20 16 4.8
+0 0 0 0 0 9 21 16 5.4
+0 0 0 0 0 9 22 16 6
+0 0 0 0 0 9 23 16 6.6
+0 0 0 0 0 9 24 16 7.2
+0 0 0 0 0 9 25 16 7.8
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 7.2
+1 0 0 0 0 9 1 16 6.6
+1 0 0 0 0 9 2 16 6
+1 0 0 0 0 9 3 16 5.4
+1 0 0 0 0 9 4 16 4.8
+1 0 0 0 0 9 5 16 4.2
+1 0 0 0 0 9 6 16 3.6
+1 0 0 0 0 9 7 16 3
+1 0 0 0 0 9 8 16 2.4
+1 0 0 0 0 9 9 16 1.8
+1 0 0 0 0 9 10 16 1.2
+1 0 0 0 0 9 11 16 0.6
+1 0 0 0 0 9 12 16 6.2803698347351e-16
+1 0 0 0 0 9 13 16 0.6
+1 0 0 0 0 9 14 16 1.2
+1 0 0 0 0 9 15 16 1.8
+1 0 0 0 0 9 16 16 2.4
+1 0 0 0 0 9 17 16 3
+1 0 0 0 0 9 18 16 3.6
+1 0 0 0 0 9 19 16 4.2
+1 0 0 0 0 9 20 16 4.8
+1 0 0 0 0 9 21 16 5.4
+1 0 0 0 0 9 22 16 6
+1 0 0 0 0 9 23 16 6.6
+1 0 0 0 0 9 24 16 7.2
+1 0 0 0 0 9 25 16 7.8
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 7.2
+2 0 0 0 0 9 1 16 6.6
+2 0 0 0 0 9 2 16 6
+2 0 0 0 0 9 3 16 5.4
+2 0 0 0 0 9 4 16 4.8
+2 0 0 0 0 9 5 16 4.2
+2 0 0 0 0 9 6 16 3.6
+2 0 0 0 0 9 7 16 3
+2 0 0 0 0 9 8 16 2.4
+2 0 0 0 0 9 9 16 1.8
+2 0 0 0 0 9 10 16 1.2
+2 0 0 0 0 9 11 16 0.6
+2 0 0 0 0 9 12 16 6.2803698347351e-16
+2 0 0 0 0 9 13 16 0.6
+2 0 0 0 0 9 14 16 1.2
+2 0 0 0 0 9 15 16 1.8
+2 0 0 0 0 9 16 16 2.4
+2 0 0 0 0 9 17 16 3
+2 0 0 0 0 9 18 16 3.6
+2 0 0 0 0 9 19 16 4.2
+2 0 0 0 0 9 20 16 4.8
+2 0 0 0 0 9 21 16 5.4
+2 0 0 0 0 9 22 16 6
+2 0 0 0 0 9 23 16 6.6
+2 0 0 0 0 9 24 16 7.2
+2 0 0 0 0 9 25 16 7.8
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 7.2
+3 0 0 0 0 9 1 16 6.6
+3 0 0 0 0 9 2 16 6
+3 0 0 0 0 9 3 16 5.4
+3 0 0 0 0 9 4 16 4.8
+3 0 0 0 0 9 5 16 4.2
+3 0 0 0 0 9 6 16 3.6
+3 0 0 0 0 9 7 16 3
+3 0 0 0 0 9 8 16 2.4
+3 0 0 0 0 9 9 16 1.8
+3 0 0 0 0 9 10 16 1.2
+3 0 0 0 0 9 11 16 0.6
+3 0 0 0 0 9 12 16 6.2803698347351e-16
+3 0 0 0 0 9 13 16 0.6
+3 0 0 0 0 9 14 16 1.2
+3 0 0 0 0 9 15 16 1.8
+3 0 0 0 0 9 16 16 2.4
+3 0 0 0 0 9 17 16 3
+3 0 0 0 0 9 18 16 3.6
+3 0 0 0 0 9 19 16 4.2
+3 0 0 0 0 9 20 16 4.8
+3 0 0 0 0 9 21 16 5.4
+3 0 0 0 0 9 22 16 6
+3 0 0 0 0 9 23 16 6.6
+3 0 0 0 0 9 24 16 7.2
+3 0 0 0 0 9 25 16 7.8
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 7.2
+4 0 0 0 0 9 1 16 6.6
+4 0 0 0 0 9 2 16 6
+4 0 0 0 0 9 3 16 5.4
+4 0 0 0 0 9 4 16 4.8
+4 0 0 0 0 9 5 16 4.2
+4 0 0 0 0 9 6 16 3.6
+4 0 0 0 0 9 7 16 3
+4 0 0 0 0 9 8 16 2.4
+4 0 0 0 0 9 9 16 1.8
+4 0 0 0 0 9 10 16 1.2
+4 0 0 0 0 9 11 16 0.6
+4 0 0 0 0 9 12 16 6.2803698347351e-16
+4 0 0 0 0 9 13 16 0.6
+4 0 0 0 0 9 14 16 1.2
+4 0 0 0 0 9 15 16 1.8
+4 0 0 0 0 9 16 16 2.4
+4 0 0 0 0 9 17 16 3
+4 0 0 0 0 9 18 16 3.6
+4 0 0 0 0 9 19 16 4.2
+4 0 0 0 0 9 20 16 4.8
+4 0 0 0 0 9 21 16 5.4
+4 0 0 0 0 9 22 16 6
+4 0 0 0 0 9 23 16 6.6
+4 0 0 0 0 9 24 16 7.2
+4 0 0 0 0 9 25 16 7.8
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 7.2
+5 0 0 0 0 9 1 16 6.6
+5 0 0 0 0 9 2 16 6
+5 0 0 0 0 9 3 16 5.4
+5 0 0 0 0 9 4 16 4.8
+5 0 0 0 0 9 5 16 4.2
+5 0 0 0 0 9 6 16 3.6
+5 0 0 0 0 9 7 16 3
+5 0 0 0 0 9 8 16 2.4
+5 0 0 0 0 9 9 16 1.8
+5 0 0 0 0 9 10 16 1.2
+5 0 0 0 0 9 11 16 0.6
+5 0 0 0 0 9 12 16 6.2803698347351e-16
+5 0 0 0 0 9 13 16 0.6
+5 0 0 0 0 9 14 16 1.2
+5 0 0 0 0 9 15 16 1.8
+5 0 0 0 0 9 16 16 2.4
+5 0 0 0 0 9 17 16 3
+5 0 0 0 0 9 18 16 3.6
+5 0 0 0 0 9 19 16 4.2
+5 0 0 0 0 9 20 16 4.8
+5 0 0 0 0 9 21 16 5.4
+5 0 0 0 0 9 22 16 6
+5 0 0 0 0 9 23 16 6.6
+5 0 0 0 0 9 24 16 7.2
+5 0 0 0 0 9 25 16 7.8
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 7.2
+6 0 0 0 0 9 1 16 6.6
+6 0 0 0 0 9 2 16 6
+6 0 0 0 0 9 3 16 5.4
+6 0 0 0 0 9 4 16 4.8
+6 0 0 0 0 9 5 16 4.2
+6 0 0 0 0 9 6 16 3.6
+6 0 0 0 0 9 7 16 3
+6 0 0 0 0 9 8 16 2.4
+6 0 0 0 0 9 9 16 1.8
+6 0 0 0 0 9 10 16 1.2
+6 0 0 0 0 9 11 16 0.6
+6 0 0 0 0 9 12 16 6.2803698347351e-16
+6 0 0 0 0 9 13 16 0.6
+6 0 0 0 0 9 14 16 1.2
+6 0 0 0 0 9 15 16 1.8
+6 0 0 0 0 9 16 16 2.4
+6 0 0 0 0 9 17 16 3
+6 0 0 0 0 9 18 16 3.6
+6 0 0 0 0 9 19 16 4.2
+6 0 0 0 0 9 20 16 4.8
+6 0 0 0 0 9 21 16 5.4
+6 0 0 0 0 9 22 16 6
+6 0 0 0 0 9 23 16 6.6
+6 0 0 0 0 9 24 16 7.2
+6 0 0 0 0 9 25 16 7.8
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.zl
new file mode 100644
index 000000000..0d3ac2541
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/spher3d_r.zl
@@ -0,0 +1,275 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 9.6
+0 0 0 0 0 9 12 1 9
+0 0 0 0 0 9 12 2 8.4
+0 0 0 0 0 9 12 3 7.8
+0 0 0 0 0 9 12 4 7.2
+0 0 0 0 0 9 12 5 6.6
+0 0 0 0 0 9 12 6 6
+0 0 0 0 0 9 12 7 5.4
+0 0 0 0 0 9 12 8 4.8
+0 0 0 0 0 9 12 9 4.2
+0 0 0 0 0 9 12 10 3.6
+0 0 0 0 0 9 12 11 3
+0 0 0 0 0 9 12 12 2.4
+0 0 0 0 0 9 12 13 1.8
+0 0 0 0 0 9 12 14 1.2
+0 0 0 0 0 9 12 15 0.6
+0 0 0 0 0 9 12 16 6.2803698347351e-16
+0 0 0 0 0 9 12 17 0.6
+0 0 0 0 0 9 12 18 1.2
+0 0 0 0 0 9 12 19 1.8
+0 0 0 0 0 9 12 20 2.4
+0 0 0 0 0 9 12 21 3
+0 0 0 0 0 9 12 22 3.6
+0 0 0 0 0 9 12 23 4.2
+0 0 0 0 0 9 12 24 4.8
+0 0 0 0 0 9 12 25 5.4
+0 0 0 0 0 9 12 26 6
+0 0 0 0 0 9 12 27 6.6
+0 0 0 0 0 9 12 28 7.2
+0 0 0 0 0 9 12 29 7.8
+0 0 0 0 0 9 12 30 8.4
+0 0 0 0 0 9 12 31 9
+0 0 0 0 0 9 12 32 9.6
+0 0 0 0 0 9 12 33 10.2
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 9.6
+1 0 0 0 0 9 12 1 9
+1 0 0 0 0 9 12 2 8.4
+1 0 0 0 0 9 12 3 7.8
+1 0 0 0 0 9 12 4 7.2
+1 0 0 0 0 9 12 5 6.6
+1 0 0 0 0 9 12 6 6
+1 0 0 0 0 9 12 7 5.4
+1 0 0 0 0 9 12 8 4.8
+1 0 0 0 0 9 12 9 4.2
+1 0 0 0 0 9 12 10 3.6
+1 0 0 0 0 9 12 11 3
+1 0 0 0 0 9 12 12 2.4
+1 0 0 0 0 9 12 13 1.8
+1 0 0 0 0 9 12 14 1.2
+1 0 0 0 0 9 12 15 0.6
+1 0 0 0 0 9 12 16 6.2803698347351e-16
+1 0 0 0 0 9 12 17 0.6
+1 0 0 0 0 9 12 18 1.2
+1 0 0 0 0 9 12 19 1.8
+1 0 0 0 0 9 12 20 2.4
+1 0 0 0 0 9 12 21 3
+1 0 0 0 0 9 12 22 3.6
+1 0 0 0 0 9 12 23 4.2
+1 0 0 0 0 9 12 24 4.8
+1 0 0 0 0 9 12 25 5.4
+1 0 0 0 0 9 12 26 6
+1 0 0 0 0 9 12 27 6.6
+1 0 0 0 0 9 12 28 7.2
+1 0 0 0 0 9 12 29 7.8
+1 0 0 0 0 9 12 30 8.4
+1 0 0 0 0 9 12 31 9
+1 0 0 0 0 9 12 32 9.6
+1 0 0 0 0 9 12 33 10.2
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 9.6
+2 0 0 0 0 9 12 1 9
+2 0 0 0 0 9 12 2 8.4
+2 0 0 0 0 9 12 3 7.8
+2 0 0 0 0 9 12 4 7.2
+2 0 0 0 0 9 12 5 6.6
+2 0 0 0 0 9 12 6 6
+2 0 0 0 0 9 12 7 5.4
+2 0 0 0 0 9 12 8 4.8
+2 0 0 0 0 9 12 9 4.2
+2 0 0 0 0 9 12 10 3.6
+2 0 0 0 0 9 12 11 3
+2 0 0 0 0 9 12 12 2.4
+2 0 0 0 0 9 12 13 1.8
+2 0 0 0 0 9 12 14 1.2
+2 0 0 0 0 9 12 15 0.6
+2 0 0 0 0 9 12 16 6.2803698347351e-16
+2 0 0 0 0 9 12 17 0.6
+2 0 0 0 0 9 12 18 1.2
+2 0 0 0 0 9 12 19 1.8
+2 0 0 0 0 9 12 20 2.4
+2 0 0 0 0 9 12 21 3
+2 0 0 0 0 9 12 22 3.6
+2 0 0 0 0 9 12 23 4.2
+2 0 0 0 0 9 12 24 4.8
+2 0 0 0 0 9 12 25 5.4
+2 0 0 0 0 9 12 26 6
+2 0 0 0 0 9 12 27 6.6
+2 0 0 0 0 9 12 28 7.2
+2 0 0 0 0 9 12 29 7.8
+2 0 0 0 0 9 12 30 8.4
+2 0 0 0 0 9 12 31 9
+2 0 0 0 0 9 12 32 9.6
+2 0 0 0 0 9 12 33 10.2
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 9.6
+3 0 0 0 0 9 12 1 9
+3 0 0 0 0 9 12 2 8.4
+3 0 0 0 0 9 12 3 7.8
+3 0 0 0 0 9 12 4 7.2
+3 0 0 0 0 9 12 5 6.6
+3 0 0 0 0 9 12 6 6
+3 0 0 0 0 9 12 7 5.4
+3 0 0 0 0 9 12 8 4.8
+3 0 0 0 0 9 12 9 4.2
+3 0 0 0 0 9 12 10 3.6
+3 0 0 0 0 9 12 11 3
+3 0 0 0 0 9 12 12 2.4
+3 0 0 0 0 9 12 13 1.8
+3 0 0 0 0 9 12 14 1.2
+3 0 0 0 0 9 12 15 0.6
+3 0 0 0 0 9 12 16 6.2803698347351e-16
+3 0 0 0 0 9 12 17 0.6
+3 0 0 0 0 9 12 18 1.2
+3 0 0 0 0 9 12 19 1.8
+3 0 0 0 0 9 12 20 2.4
+3 0 0 0 0 9 12 21 3
+3 0 0 0 0 9 12 22 3.6
+3 0 0 0 0 9 12 23 4.2
+3 0 0 0 0 9 12 24 4.8
+3 0 0 0 0 9 12 25 5.4
+3 0 0 0 0 9 12 26 6
+3 0 0 0 0 9 12 27 6.6
+3 0 0 0 0 9 12 28 7.2
+3 0 0 0 0 9 12 29 7.8
+3 0 0 0 0 9 12 30 8.4
+3 0 0 0 0 9 12 31 9
+3 0 0 0 0 9 12 32 9.6
+3 0 0 0 0 9 12 33 10.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 9.6
+4 0 0 0 0 9 12 1 9
+4 0 0 0 0 9 12 2 8.4
+4 0 0 0 0 9 12 3 7.8
+4 0 0 0 0 9 12 4 7.2
+4 0 0 0 0 9 12 5 6.6
+4 0 0 0 0 9 12 6 6
+4 0 0 0 0 9 12 7 5.4
+4 0 0 0 0 9 12 8 4.8
+4 0 0 0 0 9 12 9 4.2
+4 0 0 0 0 9 12 10 3.6
+4 0 0 0 0 9 12 11 3
+4 0 0 0 0 9 12 12 2.4
+4 0 0 0 0 9 12 13 1.8
+4 0 0 0 0 9 12 14 1.2
+4 0 0 0 0 9 12 15 0.6
+4 0 0 0 0 9 12 16 6.2803698347351e-16
+4 0 0 0 0 9 12 17 0.6
+4 0 0 0 0 9 12 18 1.2
+4 0 0 0 0 9 12 19 1.8
+4 0 0 0 0 9 12 20 2.4
+4 0 0 0 0 9 12 21 3
+4 0 0 0 0 9 12 22 3.6
+4 0 0 0 0 9 12 23 4.2
+4 0 0 0 0 9 12 24 4.8
+4 0 0 0 0 9 12 25 5.4
+4 0 0 0 0 9 12 26 6
+4 0 0 0 0 9 12 27 6.6
+4 0 0 0 0 9 12 28 7.2
+4 0 0 0 0 9 12 29 7.8
+4 0 0 0 0 9 12 30 8.4
+4 0 0 0 0 9 12 31 9
+4 0 0 0 0 9 12 32 9.6
+4 0 0 0 0 9 12 33 10.2
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 9.6
+5 0 0 0 0 9 12 1 9
+5 0 0 0 0 9 12 2 8.4
+5 0 0 0 0 9 12 3 7.8
+5 0 0 0 0 9 12 4 7.2
+5 0 0 0 0 9 12 5 6.6
+5 0 0 0 0 9 12 6 6
+5 0 0 0 0 9 12 7 5.4
+5 0 0 0 0 9 12 8 4.8
+5 0 0 0 0 9 12 9 4.2
+5 0 0 0 0 9 12 10 3.6
+5 0 0 0 0 9 12 11 3
+5 0 0 0 0 9 12 12 2.4
+5 0 0 0 0 9 12 13 1.8
+5 0 0 0 0 9 12 14 1.2
+5 0 0 0 0 9 12 15 0.6
+5 0 0 0 0 9 12 16 6.2803698347351e-16
+5 0 0 0 0 9 12 17 0.6
+5 0 0 0 0 9 12 18 1.2
+5 0 0 0 0 9 12 19 1.8
+5 0 0 0 0 9 12 20 2.4
+5 0 0 0 0 9 12 21 3
+5 0 0 0 0 9 12 22 3.6
+5 0 0 0 0 9 12 23 4.2
+5 0 0 0 0 9 12 24 4.8
+5 0 0 0 0 9 12 25 5.4
+5 0 0 0 0 9 12 26 6
+5 0 0 0 0 9 12 27 6.6
+5 0 0 0 0 9 12 28 7.2
+5 0 0 0 0 9 12 29 7.8
+5 0 0 0 0 9 12 30 8.4
+5 0 0 0 0 9 12 31 9
+5 0 0 0 0 9 12 32 9.6
+5 0 0 0 0 9 12 33 10.2
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 9.6
+6 0 0 0 0 9 12 1 9
+6 0 0 0 0 9 12 2 8.4
+6 0 0 0 0 9 12 3 7.8
+6 0 0 0 0 9 12 4 7.2
+6 0 0 0 0 9 12 5 6.6
+6 0 0 0 0 9 12 6 6
+6 0 0 0 0 9 12 7 5.4
+6 0 0 0 0 9 12 8 4.8
+6 0 0 0 0 9 12 9 4.2
+6 0 0 0 0 9 12 10 3.6
+6 0 0 0 0 9 12 11 3
+6 0 0 0 0 9 12 12 2.4
+6 0 0 0 0 9 12 13 1.8
+6 0 0 0 0 9 12 14 1.2
+6 0 0 0 0 9 12 15 0.6
+6 0 0 0 0 9 12 16 6.2803698347351e-16
+6 0 0 0 0 9 12 17 0.6
+6 0 0 0 0 9 12 18 1.2
+6 0 0 0 0 9 12 19 1.8
+6 0 0 0 0 9 12 20 2.4
+6 0 0 0 0 9 12 21 3
+6 0 0 0 0 9 12 22 3.6
+6 0 0 0 0 9 12 23 4.2
+6 0 0 0 0 9 12 24 4.8
+6 0 0 0 0 9 12 25 5.4
+6 0 0 0 0 9 12 26 6
+6 0 0 0 0 9 12 27 6.6
+6 0 0 0 0 9 12 28 7.2
+6 0 0 0 0 9 12 29 7.8
+6 0 0 0 0 9 12 30 8.4
+6 0 0 0 0 9 12 31 9
+6 0 0 0 0 9 12 32 9.6
+6 0 0 0 0 9 12 33 10.2
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.xl
new file mode 100644
index 000000000..9b6c76b91
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.xl
@@ -0,0 +1,170 @@
+# HYDROTOY::u x (u)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -0.80901699437495
+0 0 0 0 0 1 12 16 -0.978147600733806
+0 0 0 0 0 2 12 16 -0.978147600733805
+0 0 0 0 0 3 12 16 -0.809016994374946
+0 0 0 0 0 4 12 16 -0.499999999999998
+0 0 0 0 0 5 12 16 -0.104528463267652
+0 0 0 0 0 6 12 16 0.309016994374949
+0 0 0 0 0 7 12 16 0.669130606358859
+0 0 0 0 0 8 12 16 0.913545457642601
+0 0 0 0 0 9 12 16 1
+0 0 0 0 0 10 12 16 0.913545457642601
+0 0 0 0 0 11 12 16 0.669130606358859
+0 0 0 0 0 12 12 16 0.309016994374949
+0 0 0 0 0 13 12 16 -0.104528463267652
+0 0 0 0 0 14 12 16 -0.499999999999998
+0 0 0 0 0 15 12 16 -0.809016994374946
+0 0 0 0 0 16 12 16 -0.978147600733805
+0 0 0 0 0 17 12 16 -0.978147600733806
+0 0 0 0 0 18 12 16 -0.809016994374949
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -0.955765485796519
+1 0 0 0 0 1 12 16 -0.994570500607911
+1 0 0 0 0 2 12 16 -0.861405240474848
+1 0 0 0 0 3 12 16 -0.579295188642749
+1 0 0 0 0 4 12 16 -0.197019735962746
+1 0 0 0 0 5 12 16 0.219322218933327
+1 0 0 0 0 6 12 16 0.597741369696019
+1 0 0 0 0 7 12 16 0.872805607328403
+1 0 0 0 0 8 12 16 0.99695382626369
+1 0 0 0 0 9 12 16 0.948719671596806
+1 0 0 0 0 10 12 16 0.736443266863195
+1 0 0 0 0 11 12 16 0.396829130911893
+1 0 0 0 0 12 12 16 -0.0114003668535526
+1 0 0 0 0 13 12 16 -0.417658637620938
+1 0 0 0 0 14 12 16 -0.751699935634057
+1 0 0 0 0 15 12 16 -0.955765485796519
+1 0 0 0 0 16 12 16 -0.994570500607911
+1 0 0 0 0 17 12 16 -0.861405240474848
+1 0 0 0 0 18 12 16 -0.579295188642749
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -1.00236259183865
+2 0 0 0 0 1 12 16 -0.906417389262528
+2 0 0 0 0 2 12 16 -0.653744385539442
+2 0 0 0 0 3 12 16 -0.288033038475295
+2 0 0 0 0 4 12 16 0.127481837639237
+2 0 0 0 0 5 12 16 0.520953945889808
+2 0 0 0 0 6 12 16 0.824348384178011
+2 0 0 0 0 7 12 16 0.985205497871871
+2 0 0 0 0 8 12 16 0.975711630672718
+2 0 0 0 0 9 12 16 0.797508358468364
+2 0 0 0 0 10 12 16 0.481408645948843
+2 0 0 0 0 11 12 16 0.0820690050845183
+2 0 0 0 0 12 12 16 -0.331461112332425
+2 0 0 0 0 13 12 16 -0.68767859219742
+2 0 0 0 0 14 12 16 -0.924990196107598
+2 0 0 0 0 15 12 16 -1.00236259183865
+2 0 0 0 0 16 12 16 -0.906417389262528
+2 0 0 0 0 17 12 16 -0.653744385539442
+2 0 0 0 0 18 12 16 -0.288033038475295
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -0.94364338228954
+3 0 0 0 0 1 12 16 -0.722686120855475
+3 0 0 0 0 2 12 16 -0.376769863728199
+3 0 0 0 0 3 12 16 0.0342933256844357
+3 0 0 0 0 4 12 16 0.439426887541149
+3 0 0 0 0 5 12 16 0.768579548474049
+3 0 0 0 0 6 12 16 0.964837823149789
+3 0 0 0 0 7 12 16 0.994266872926481
+3 0 0 0 0 8 12 16 0.851778147743211
+3 0 0 0 0 9 12 16 0.562009242653596
+3 0 0 0 0 10 12 16 0.175063833815491
+3 0 0 0 0 11 12 16 -0.242151702294314
+3 0 0 0 0 12 12 16 -0.617497009198279
+3 0 0 0 0 13 12 16 -0.886071473427644
+3 0 0 0 0 14 12 16 -1.00143613019474
+3 0 0 0 0 15 12 16 -0.94364338228954
+3 0 0 0 0 16 12 16 -0.722686120855475
+3 0 0 0 0 17 12 16 -0.376769863728199
+3 0 0 0 0 18 12 16 0.0342933256844357
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -0.785507602738876
+4 0 0 0 0 1 12 16 -0.462452108726221
+4 0 0 0 0 2 12 16 -0.0594344438692843
+4 0 0 0 0 3 12 16 0.35385997627762
+4 0 0 0 0 4 12 16 0.705968791809162
+4 0 0 0 0 5 12 16 0.936009189711769
+4 0 0 0 0 6 12 16 1.00420509533667
+4 0 0 0 0 7 12 16 0.89876481706098
+4 0 0 0 0 8 12 16 0.637919936893408
+4 0 0 0 0 9 12 16 0.266772904316276
+4 0 0 0 0 10 12 16 -0.150501586972893
+4 0 0 0 0 11 12 16 -0.541752986610453
+4 0 0 0 0 12 12 16 -0.839330373191693
+4 0 0 0 0 13 12 16 -0.991779913171026
+4 0 0 0 0 14 12 16 -0.972741696125436
+4 0 0 0 0 15 12 16 -0.785507602738876
+4 0 0 0 0 16 12 16 -0.462452108726221
+4 0 0 0 0 17 12 16 -0.0594344438692843
+4 0 0 0 0 18 12 16 0.35385997627762
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -0.544328174867942
+5 0 0 0 0 1 12 16 -0.152888277069066
+5 0 0 0 0 2 12 16 0.264987392781447
+5 0 0 0 0 3 12 16 0.637044335085157
+5 0 0 0 0 4 12 16 0.898950524486546
+5 0 0 0 0 5 12 16 1.00542000149508
+5 0 0 0 0 6 12 16 0.938043226291145
+5 0 0 0 0 7 12 16 0.708470255406295
+5 0 0 0 0 8 12 16 0.356396341111483
+5 0 0 0 0 9 12 16 -0.0573017383206181
+5 0 0 0 0 10 12 16 -0.461091826627135
+5 0 0 0 0 11 12 16 -0.785154949222079
+5 0 0 0 0 12 12 16 -0.97345764818774
+5 0 0 0 0 13 12 16 -0.993440676196639
+5 0 0 0 0 14 12 16 -0.841648786165927
+5 0 0 0 0 15 12 16 -0.544328174867942
+5 0 0 0 0 16 12 16 -0.152888277069066
+5 0 0 0 0 17 12 16 0.264987392781447
+5 0 0 0 0 18 12 16 0.637044335085157
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -0.245256464451885
+6 0 0 0 0 1 12 16 0.173571974101471
+6 0 0 0 0 2 12 16 0.562388241480802
+6 0 0 0 0 3 12 16 0.853962472771321
+6 0 0 0 0 4 12 16 0.997878834514167
+6 0 0 0 0 5 12 16 0.969252880324897
+6 0 0 0 0 6 12 16 0.773034297741468
+6 0 0 0 0 7 12 16 0.443151062282416
+6 0 0 0 0 8 12 16 0.0366429822537203
+6 0 0 0 0 9 12 16 -0.376201002297687
+6 0 0 0 0 10 12 16 -0.723996415873011
+6 0 0 0 0 11 12 16 -0.946606271842939
+6 0 0 0 0 12 12 16 -1.00553930376322
+6 0 0 0 0 13 12 16 -0.890605455025042
+6 0 0 0 0 14 12 16 -0.621677832216481
+6 0 0 0 0 15 12 16 -0.245256464451885
+6 0 0 0 0 16 12 16 0.173571974101471
+6 0 0 0 0 17 12 16 0.562388241480802
+6 0 0 0 0 18 12 16 0.853962472771321
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.yl
new file mode 100644
index 000000000..50f79e875
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.yl
@@ -0,0 +1,219 @@
+# HYDROTOY::u y (u)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -0.959492973614494
+0 0 0 0 0 9 1 16 -1
+0 0 0 0 0 9 2 16 -0.9594929736145
+0 0 0 0 0 9 3 16 -0.841253532831185
+0 0 0 0 0 9 4 16 -0.65486073394529
+0 0 0 0 0 9 5 16 -0.415415013001892
+0 0 0 0 0 9 6 16 -0.14231483827329
+0 0 0 0 0 9 7 16 0.142314838273281
+0 0 0 0 0 9 8 16 0.415415013001883
+0 0 0 0 0 9 9 16 0.654860733945283
+0 0 0 0 0 9 10 16 0.84125353283118
+0 0 0 0 0 9 11 16 0.959492973614497
+0 0 0 0 0 9 12 16 1
+0 0 0 0 0 9 13 16 0.959492973614497
+0 0 0 0 0 9 14 16 0.84125353283118
+0 0 0 0 0 9 15 16 0.654860733945283
+0 0 0 0 0 9 16 16 0.415415013001883
+0 0 0 0 0 9 17 16 0.142314838273281
+0 0 0 0 0 9 18 16 -0.142314838273291
+0 0 0 0 0 9 19 16 -0.415415013001892
+0 0 0 0 0 9 20 16 -0.65486073394529
+0 0 0 0 0 9 21 16 -0.841253532831186
+0 0 0 0 0 9 22 16 -0.9594929736145
+0 0 0 0 0 9 23 16 -1
+0 0 0 0 0 9 24 16 -0.959492973614494
+0 0 0 0 0 9 25 16 -0.841253532831175
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 -1.00051323460778
+1 0 0 0 0 9 1 16 -0.948719671596804
+1 0 0 0 0 9 2 16 -0.820066483046201
+1 0 0 0 0 9 3 16 -0.624976385162354
+1 0 0 0 0 9 4 16 -0.379254417430333
+1 0 0 0 0 9 5 16 -0.102807512310972
+1 0 0 0 0 9 6 16 0.181968246036004
+1 0 0 0 0 9 7 16 0.452002019295973
+1 0 0 0 0 9 8 16 0.685417277112096
+1 0 0 0 0 9 9 16 0.863304103470101
+1 0 0 0 0 9 10 16 0.971251165632154
+1 0 0 0 0 9 11 16 1.00051323460778
+1 0 0 0 0 9 12 16 0.948719671596806
+1 0 0 0 0 9 13 16 0.820066483046195
+1 0 0 0 0 9 14 16 0.624976385162347
+1 0 0 0 0 9 15 16 0.379254417430324
+1 0 0 0 0 9 16 16 0.102807512310963
+1 0 0 0 0 9 17 16 -0.181968246036014
+1 0 0 0 0 9 18 16 -0.452002019295981
+1 0 0 0 0 9 19 16 -0.685417277112103
+1 0 0 0 0 9 20 16 -0.863304103470106
+1 0 0 0 0 9 21 16 -0.971251165632156
+1 0 0 0 0 9 22 16 -1.00051323460778
+1 0 0 0 0 9 23 16 -0.948719671596804
+1 0 0 0 0 9 24 16 -0.820066483046201
+1 0 0 0 0 9 25 16 -0.624976385162354
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 -0.936397049231443
+2 0 0 0 0 9 1 16 -0.79750835846836
+2 0 0 0 0 9 2 16 -0.594010283467016
+2 0 0 0 0 9 3 16 -0.342389028014344
+2 0 0 0 0 9 4 16 -0.0630294497779055
+2 0 0 0 0 9 5 16 0.221436399628968
+2 0 0 0 0 9 6 16 0.487962788870879
+2 0 0 0 0 9 7 16 0.714957334984917
+2 0 0 0 0 9 8 16 0.884030289833469
+2 0 0 0 0 9 9 16 0.981484368130286
+2 0 0 0 0 9 10 16 0.999424420033478
+2 0 0 0 0 9 11 16 0.936397049231446
+2 0 0 0 0 9 12 16 0.797508358468364
+2 0 0 0 0 9 13 16 0.594010283467008
+2 0 0 0 0 9 14 16 0.342389028014335
+2 0 0 0 0 9 15 16 0.0630294497778957
+2 0 0 0 0 9 16 16 -0.221436399628977
+2 0 0 0 0 9 17 16 -0.487962788870887
+2 0 0 0 0 9 18 16 -0.714957334984924
+2 0 0 0 0 9 19 16 -0.884030289833474
+2 0 0 0 0 9 20 16 -0.981484368130287
+2 0 0 0 0 9 21 16 -0.999424420033477
+2 0 0 0 0 9 22 16 -0.936397049231443
+2 0 0 0 0 9 23 16 -0.79750835846836
+2 0 0 0 0 9 24 16 -0.594010283467016
+2 0 0 0 0 9 25 16 -0.342389028014344
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 -0.773612345734507
+3 0 0 0 0 9 1 16 -0.562009242653593
+3 0 0 0 0 9 2 16 -0.30487549313056
+3 0 0 0 0 9 3 16 -0.0230425443184478
+3 0 0 0 0 9 4 16 0.260657174395054
+3 0 0 0 0 9 5 16 0.523239999026976
+3 0 0 0 0 9 6 16 0.743433030765824
+3 0 0 0 0 9 7 16 0.903397539718502
+3 0 0 0 0 9 8 16 0.990174152715228
+3 0 0 0 0 9 9 16 0.996732744651397
+3 0 0 0 0 9 10 16 0.922541977413788
+3 0 0 0 0 9 11 16 0.773612345734511
+3 0 0 0 0 9 12 16 0.562009242653596
+3 0 0 0 0 9 13 16 0.30487549313055
+3 0 0 0 0 9 14 16 0.0230425443184395
+3 0 0 0 0 9 15 16 -0.260657174395064
+3 0 0 0 0 9 16 16 -0.523239999026984
+3 0 0 0 0 9 17 16 -0.743433030765831
+3 0 0 0 0 9 18 16 -0.903397539718506
+3 0 0 0 0 9 19 16 -0.99017415271523
+3 0 0 0 0 9 20 16 -0.996732744651396
+3 0 0 0 0 9 21 16 -0.922541977413785
+3 0 0 0 0 9 22 16 -0.773612345734507
+3 0 0 0 0 9 23 16 -0.562009242653593
+3 0 0 0 0 9 24 16 -0.30487549313056
+3 0 0 0 0 9 25 16 -0.0230425443184478
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 -0.529023034768285
+4 0 0 0 0 9 1 16 -0.266772904316274
+4 0 0 0 0 9 2 16 0.0170895802838814
+4 0 0 0 0 9 3 16 0.299567568725097
+4 0 0 0 0 9 4 16 0.55777637434513
+4 0 0 0 0 9 5 16 0.77079745533955
+4 0 0 0 0 9 6 16 0.921373110611335
+4 0 0 0 0 9 7 16 0.997304596078268
+4 0 0 0 0 9 8 16 0.992440394369748
+4 0 0 0 0 9 9 16 0.907174574179681
+4 0 0 0 0 9 10 16 0.748414865164506
+4 0 0 0 0 9 11 16 0.529023034768289
+4 0 0 0 0 9 12 16 0.266772904316276
+4 0 0 0 0 9 13 16 -0.0170895802838905
+4 0 0 0 0 9 14 16 -0.299567568725103
+4 0 0 0 0 9 15 16 -0.557776374345138
+4 0 0 0 0 9 16 16 -0.770797455339557
+4 0 0 0 0 9 17 16 -0.921373110611339
+4 0 0 0 0 9 18 16 -0.997304596078268
+4 0 0 0 0 9 19 16 -0.992440394369747
+4 0 0 0 0 9 20 16 -0.907174574179677
+4 0 0 0 0 9 21 16 -0.7484148651645
+4 0 0 0 0 9 22 16 -0.529023034768285
+4 0 0 0 0 9 23 16 -0.266772904316274
+4 0 0 0 0 9 24 16 0.0170895802838814
+4 0 0 0 0 9 25 16 0.299567568725097
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 -0.228142427103317
+5 0 0 0 0 9 1 16 0.0573017383206182
+5 0 0 0 0 9 2 16 0.338103657692372
+5 0 0 0 0 9 3 16 0.591514429497776
+5 0 0 0 0 9 4 16 0.797004220097029
+5 0 0 0 0 9 5 16 0.937925468750632
+5 0 0 0 0 9 6 16 1.0028615739836
+5 0 0 0 0 9 7 16 0.986551798739849
+5 0 0 0 0 9 8 16 0.890317464011655
+5 0 0 0 0 9 9 16 0.721954903271074
+5 0 0 0 0 9 10 16 0.495103849898604
+5 0 0 0 0 9 11 16 0.22814242710332
+5 0 0 0 0 9 12 16 -0.0573017383206181
+5 0 0 0 0 9 13 16 -0.338103657692379
+5 0 0 0 0 9 14 16 -0.591514429497779
+5 0 0 0 0 9 15 16 -0.797004220097035
+5 0 0 0 0 9 16 16 -0.937925468750636
+5 0 0 0 0 9 17 16 -1.0028615739836
+5 0 0 0 0 9 18 16 -0.986551798739846
+5 0 0 0 0 9 19 16 -0.890317464011651
+5 0 0 0 0 9 20 16 -0.721954903271068
+5 0 0 0 0 9 21 16 -0.495103849898596
+5 0 0 0 0 9 22 16 -0.228142427103317
+5 0 0 0 0 9 23 16 0.0573017383206182
+5 0 0 0 0 9 24 16 0.338103657692372
+5 0 0 0 0 9 25 16 0.591514429497776
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 0.0975277748355794
+6 0 0 0 0 9 1 16 0.376201002297685
+6 0 0 0 0 9 2 16 0.624396661907141
+6 0 0 0 0 9 3 16 0.822007417398816
+6 0 0 0 0 9 4 16 0.953024020599179
+6 0 0 0 0 9 5 16 1.00683228550269
+6 0 0 0 0 9 6 16 0.979072986496933
+6 0 0 0 0 9 7 16 0.871995016896448
+6 0 0 0 0 9 8 16 0.69427319698106
+6 0 0 0 0 9 9 16 0.460305491647954
+6 0 0 0 0 9 10 16 0.189046572923696
+6 0 0 0 0 9 11 16 -0.0975277748355793
+6 0 0 0 0 9 12 16 -0.376201002297687
+6 0 0 0 0 9 13 16 -0.624396661907144
+6 0 0 0 0 9 14 16 -0.822007417398816
+6 0 0 0 0 9 15 16 -0.953024020599182
+6 0 0 0 0 9 16 16 -1.00683228550269
+6 0 0 0 0 9 17 16 -0.979072986496931
+6 0 0 0 0 9 18 16 -0.871995016896444
+6 0 0 0 0 9 19 16 -0.694273196981054
+6 0 0 0 0 9 20 16 -0.460305491647947
+6 0 0 0 0 9 21 16 -0.189046572923689
+6 0 0 0 0 9 22 16 0.0975277748355794
+6 0 0 0 0 9 23 16 0.376201002297685
+6 0 0 0 0 9 24 16 0.624396661907141
+6 0 0 0 0 9 25 16 0.822007417398816
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.zl
new file mode 100644
index 000000000..57a1edbb4
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/u.zl
@@ -0,0 +1,275 @@
+# HYDROTOY::u z (u)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 0.913545457642604
+0 0 0 0 0 9 12 1 1
+0 0 0 0 0 9 12 2 0.913545457642598
+0 0 0 0 0 9 12 3 0.669130606358854
+0 0 0 0 0 9 12 4 0.309016994374941
+0 0 0 0 0 9 12 5 -0.104528463267659
+0 0 0 0 0 9 12 6 -0.500000000000004
+0 0 0 0 0 9 12 7 -0.80901699437495
+0 0 0 0 0 9 12 8 -0.978147600733806
+0 0 0 0 0 9 12 9 -0.978147600733805
+0 0 0 0 0 9 12 10 -0.809016994374946
+0 0 0 0 0 9 12 11 -0.499999999999998
+0 0 0 0 0 9 12 12 -0.104528463267652
+0 0 0 0 0 9 12 13 0.309016994374949
+0 0 0 0 0 9 12 14 0.669130606358859
+0 0 0 0 0 9 12 15 0.913545457642601
+0 0 0 0 0 9 12 16 1
+0 0 0 0 0 9 12 17 0.913545457642601
+0 0 0 0 0 9 12 18 0.669130606358859
+0 0 0 0 0 9 12 19 0.309016994374949
+0 0 0 0 0 9 12 20 -0.104528463267652
+0 0 0 0 0 9 12 21 -0.499999999999998
+0 0 0 0 0 9 12 22 -0.809016994374946
+0 0 0 0 0 9 12 23 -0.978147600733805
+0 0 0 0 0 9 12 24 -0.978147600733806
+0 0 0 0 0 9 12 25 -0.80901699437495
+0 0 0 0 0 9 12 26 -0.500000000000004
+0 0 0 0 0 9 12 27 -0.104528463267659
+0 0 0 0 0 9 12 28 0.309016994374942
+0 0 0 0 0 9 12 29 0.669130606358854
+0 0 0 0 0 9 12 30 0.913545457642598
+0 0 0 0 0 9 12 31 1
+0 0 0 0 0 9 12 32 0.913545457642604
+0 0 0 0 0 9 12 33 0.669130606358864
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 0.996953826263689
+1 0 0 0 0 9 12 1 0.948719671596808
+1 0 0 0 0 9 12 2 0.73644326686319
+1 0 0 0 0 9 12 3 0.396829130911887
+1 0 0 0 0 9 12 4 -0.0114003668535601
+1 0 0 0 0 9 12 5 -0.417658637620944
+1 0 0 0 0 9 12 6 -0.751699935634062
+1 0 0 0 0 9 12 7 -0.955765485796521
+1 0 0 0 0 9 12 8 -0.99457050060791
+1 0 0 0 0 9 12 9 -0.861405240474847
+1 0 0 0 0 9 12 10 -0.579295188642748
+1 0 0 0 0 9 12 11 -0.197019735962745
+1 0 0 0 0 9 12 12 0.219322218933327
+1 0 0 0 0 9 12 13 0.597741369696019
+1 0 0 0 0 9 12 14 0.872805607328403
+1 0 0 0 0 9 12 15 0.99695382626369
+1 0 0 0 0 9 12 16 0.948719671596806
+1 0 0 0 0 9 12 17 0.736443266863195
+1 0 0 0 0 9 12 18 0.396829130911893
+1 0 0 0 0 9 12 19 -0.0114003668535524
+1 0 0 0 0 9 12 20 -0.417658637620938
+1 0 0 0 0 9 12 21 -0.751699935634057
+1 0 0 0 0 9 12 22 -0.955765485796519
+1 0 0 0 0 9 12 23 -0.994570500607911
+1 0 0 0 0 9 12 24 -0.861405240474851
+1 0 0 0 0 9 12 25 -0.579295188642754
+1 0 0 0 0 9 12 26 -0.197019735962752
+1 0 0 0 0 9 12 27 0.21932221893332
+1 0 0 0 0 9 12 28 0.597741369696014
+1 0 0 0 0 9 12 29 0.8728056073284
+1 0 0 0 0 9 12 30 0.996953826263689
+1 0 0 0 0 9 12 31 0.948719671596808
+1 0 0 0 0 9 12 32 0.73644326686319
+1 0 0 0 0 9 12 33 0.396829130911887
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 0.97571163067272
+2 0 0 0 0 9 12 1 0.797508358468365
+2 0 0 0 0 9 12 2 0.481408645948837
+2 0 0 0 0 9 12 3 0.0820690050845114
+2 0 0 0 0 9 12 4 -0.331461112332432
+2 0 0 0 0 9 12 5 -0.687678592197425
+2 0 0 0 0 9 12 6 -0.924990196107601
+2 0 0 0 0 9 12 7 -1.00236259183865
+2 0 0 0 0 9 12 8 -0.906417389262526
+2 0 0 0 0 9 12 9 -0.653744385539442
+2 0 0 0 0 9 12 10 -0.288033038475295
+2 0 0 0 0 9 12 11 0.127481837639237
+2 0 0 0 0 9 12 12 0.520953945889809
+2 0 0 0 0 9 12 13 0.824348384178011
+2 0 0 0 0 9 12 14 0.985205497871871
+2 0 0 0 0 9 12 15 0.975711630672718
+2 0 0 0 0 9 12 16 0.797508358468364
+2 0 0 0 0 9 12 17 0.481408645948843
+2 0 0 0 0 9 12 18 0.0820690050845184
+2 0 0 0 0 9 12 19 -0.331461112332425
+2 0 0 0 0 9 12 20 -0.68767859219742
+2 0 0 0 0 9 12 21 -0.924990196107598
+2 0 0 0 0 9 12 22 -1.00236259183865
+2 0 0 0 0 9 12 23 -0.906417389262529
+2 0 0 0 0 9 12 24 -0.653744385539447
+2 0 0 0 0 9 12 25 -0.288033038475302
+2 0 0 0 0 9 12 26 0.12748183763923
+2 0 0 0 0 9 12 27 0.520953945889802
+2 0 0 0 0 9 12 28 0.824348384178007
+2 0 0 0 0 9 12 29 0.985205497871869
+2 0 0 0 0 9 12 30 0.97571163067272
+2 0 0 0 0 9 12 31 0.797508358468365
+2 0 0 0 0 9 12 32 0.481408645948837
+2 0 0 0 0 9 12 33 0.0820690050845114
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 0.851778147743213
+3 0 0 0 0 9 12 1 0.562009242653597
+3 0 0 0 0 9 12 2 0.175063833815484
+3 0 0 0 0 9 12 3 -0.24215170229432
+3 0 0 0 0 9 12 4 -0.617497009198284
+3 0 0 0 0 9 12 5 -0.886071473427647
+3 0 0 0 0 9 12 6 -1.00143613019474
+3 0 0 0 0 9 12 7 -0.943643382289538
+3 0 0 0 0 9 12 8 -0.722686120855472
+3 0 0 0 0 9 12 9 -0.376769863728199
+3 0 0 0 0 9 12 10 0.0342933256844365
+3 0 0 0 0 9 12 11 0.439426887541149
+3 0 0 0 0 9 12 12 0.76857954847405
+3 0 0 0 0 9 12 13 0.964837823149789
+3 0 0 0 0 9 12 14 0.994266872926481
+3 0 0 0 0 9 12 15 0.851778147743211
+3 0 0 0 0 9 12 16 0.562009242653596
+3 0 0 0 0 9 12 17 0.175063833815491
+3 0 0 0 0 9 12 18 -0.242151702294313
+3 0 0 0 0 9 12 19 -0.617497009198278
+3 0 0 0 0 9 12 20 -0.886071473427644
+3 0 0 0 0 9 12 21 -1.00143613019474
+3 0 0 0 0 9 12 22 -0.94364338228954
+3 0 0 0 0 9 12 23 -0.722686120855477
+3 0 0 0 0 9 12 24 -0.376769863728206
+3 0 0 0 0 9 12 25 0.034293325684429
+3 0 0 0 0 9 12 26 0.439426887541143
+3 0 0 0 0 9 12 27 0.768579548474045
+3 0 0 0 0 9 12 28 0.964837823149787
+3 0 0 0 0 9 12 29 0.994266872926482
+3 0 0 0 0 9 12 30 0.851778147743213
+3 0 0 0 0 9 12 31 0.562009242653597
+3 0 0 0 0 9 12 32 0.175063833815484
+3 0 0 0 0 9 12 33 -0.24215170229432
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 0.63791993689341
+4 0 0 0 0 9 12 1 0.266772904316275
+4 0 0 0 0 9 12 2 -0.1505015869729
+4 0 0 0 0 9 12 3 -0.541752986610458
+4 0 0 0 0 9 12 4 -0.839330373191696
+4 0 0 0 0 9 12 5 -0.991779913171028
+4 0 0 0 0 9 12 6 -0.972741696125435
+4 0 0 0 0 9 12 7 -0.785507602738873
+4 0 0 0 0 9 12 8 -0.462452108726218
+4 0 0 0 0 9 12 9 -0.0594344438692841
+4 0 0 0 0 9 12 10 0.353859976277621
+4 0 0 0 0 9 12 11 0.705968791809162
+4 0 0 0 0 9 12 12 0.936009189711769
+4 0 0 0 0 9 12 13 1.00420509533667
+4 0 0 0 0 9 12 14 0.89876481706098
+4 0 0 0 0 9 12 15 0.637919936893408
+4 0 0 0 0 9 12 16 0.266772904316276
+4 0 0 0 0 9 12 17 -0.150501586972892
+4 0 0 0 0 9 12 18 -0.541752986610453
+4 0 0 0 0 9 12 19 -0.839330373191692
+4 0 0 0 0 9 12 20 -0.991779913171026
+4 0 0 0 0 9 12 21 -0.972741696125436
+4 0 0 0 0 9 12 22 -0.785507602738877
+4 0 0 0 0 9 12 23 -0.462452108726224
+4 0 0 0 0 9 12 24 -0.0594344438692912
+4 0 0 0 0 9 12 25 0.353859976277614
+4 0 0 0 0 9 12 26 0.705968791809157
+4 0 0 0 0 9 12 27 0.936009189711766
+4 0 0 0 0 9 12 28 1.00420509533667
+4 0 0 0 0 9 12 29 0.898764817060982
+4 0 0 0 0 9 12 30 0.63791993689341
+4 0 0 0 0 9 12 31 0.266772904316275
+4 0 0 0 0 9 12 32 -0.1505015869729
+4 0 0 0 0 9 12 33 -0.541752986610458
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 0.356396341111483
+5 0 0 0 0 9 12 1 -0.0573017383206205
+5 0 0 0 0 9 12 2 -0.461091826627141
+5 0 0 0 0 9 12 3 -0.785154949222081
+5 0 0 0 0 9 12 4 -0.973457648187742
+5 0 0 0 0 9 12 5 -0.993440676196638
+5 0 0 0 0 9 12 6 -0.841648786165924
+5 0 0 0 0 9 12 7 -0.544328174867939
+5 0 0 0 0 9 12 8 -0.152888277069062
+5 0 0 0 0 9 12 9 0.264987392781448
+5 0 0 0 0 9 12 10 0.637044335085158
+5 0 0 0 0 9 12 11 0.898950524486546
+5 0 0 0 0 9 12 12 1.00542000149508
+5 0 0 0 0 9 12 13 0.938043226291145
+5 0 0 0 0 9 12 14 0.708470255406295
+5 0 0 0 0 9 12 15 0.356396341111483
+5 0 0 0 0 9 12 16 -0.0573017383206181
+5 0 0 0 0 9 12 17 -0.461091826627135
+5 0 0 0 0 9 12 18 -0.785154949222079
+5 0 0 0 0 9 12 19 -0.97345764818774
+5 0 0 0 0 9 12 20 -0.993440676196639
+5 0 0 0 0 9 12 21 -0.841648786165928
+5 0 0 0 0 9 12 22 -0.544328174867945
+5 0 0 0 0 9 12 23 -0.15288827706907
+5 0 0 0 0 9 12 24 0.264987392781441
+5 0 0 0 0 9 12 25 0.637044335085152
+5 0 0 0 0 9 12 26 0.898950524486543
+5 0 0 0 0 9 12 27 1.00542000149508
+5 0 0 0 0 9 12 28 0.938043226291147
+5 0 0 0 0 9 12 29 0.708470255406299
+5 0 0 0 0 9 12 30 0.356396341111483
+5 0 0 0 0 9 12 31 -0.0573017383206205
+5 0 0 0 0 9 12 32 -0.461091826627141
+5 0 0 0 0 9 12 33 -0.785154949222081
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 0.036642982253719
+6 0 0 0 0 9 12 1 -0.37620100229769
+6 0 0 0 0 9 12 2 -0.723996415873014
+6 0 0 0 0 9 12 3 -0.946606271842938
+6 0 0 0 0 9 12 4 -1.00553930376322
+6 0 0 0 0 9 12 5 -0.890605455025039
+6 0 0 0 0 9 12 6 -0.621677832216476
+6 0 0 0 0 9 12 7 -0.245256464451882
+6 0 0 0 0 9 12 8 0.173571974101474
+6 0 0 0 0 9 12 9 0.562388241480803
+6 0 0 0 0 9 12 10 0.853962472771322
+6 0 0 0 0 9 12 11 0.997878834514167
+6 0 0 0 0 9 12 12 0.969252880324898
+6 0 0 0 0 9 12 13 0.773034297741468
+6 0 0 0 0 9 12 14 0.443151062282416
+6 0 0 0 0 9 12 15 0.0366429822537202
+6 0 0 0 0 9 12 16 -0.376201002297687
+6 0 0 0 0 9 12 17 -0.723996415873011
+6 0 0 0 0 9 12 18 -0.946606271842939
+6 0 0 0 0 9 12 19 -1.00553930376322
+6 0 0 0 0 9 12 20 -0.890605455025042
+6 0 0 0 0 9 12 21 -0.621677832216482
+6 0 0 0 0 9 12 22 -0.245256464451889
+6 0 0 0 0 9 12 23 0.173571974101467
+6 0 0 0 0 9 12 24 0.562388241480797
+6 0 0 0 0 9 12 25 0.853962472771319
+6 0 0 0 0 9 12 26 0.997878834514166
+6 0 0 0 0 9 12 27 0.969252880324899
+6 0 0 0 0 9 12 28 0.773034297741472
+6 0 0 0 0 9 12 29 0.44315106228242
+6 0 0 0 0 9 12 30 0.036642982253719
+6 0 0 0 0 9 12 31 -0.37620100229769
+6 0 0 0 0 9 12 32 -0.723996415873014
+6 0 0 0 0 9 12 33 -0.946606271842938
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.xl
new file mode 100644
index 000000000..dc98ae343
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.xl
@@ -0,0 +1,170 @@
+# HYDROTOY::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -0.515299953858482
+0 0 0 0 0 1 12 16 -0.62302697845592
+0 0 0 0 0 2 12 16 -0.62302697845592
+0 0 0 0 0 3 12 16 -0.51529995385848
+0 0 0 0 0 4 12 16 -0.318472885885792
+0 0 0 0 0 5 12 16 -0.0665789627081124
+0 0 0 0 0 6 12 16 0.196827067972688
+0 0 0 0 0 7 12 16 0.426199910483233
+0 0 0 0 0 8 12 16 0.581878916566594
+0 0 0 0 0 9 12 16 0.636945771771587
+0 0 0 0 0 10 12 16 0.581878916566594
+0 0 0 0 0 11 12 16 0.426199910483233
+0 0 0 0 0 12 12 16 0.196827067972688
+0 0 0 0 0 13 12 16 -0.0665789627081126
+0 0 0 0 0 14 12 16 -0.318472885885792
+0 0 0 0 0 15 12 16 -0.51529995385848
+0 0 0 0 0 16 12 16 -0.62302697845592
+0 0 0 0 0 17 12 16 -0.62302697845592
+0 0 0 0 0 18 12 16 -0.515299953858482
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -0.608492170320791
+1 0 0 0 0 1 12 16 -0.633457407715208
+1 0 0 0 0 2 12 16 -0.548892104535778
+1 0 0 0 0 3 12 16 -0.369418369953888
+1 0 0 0 0 4 12 16 -0.126068843146438
+1 0 0 0 0 5 12 16 0.139079131940516
+1 0 0 0 0 6 12 16 0.380179061620706
+1 0 0 0 0 7 12 16 0.555542577728329
+1 0 0 0 0 8 12 16 0.634847735200848
+1 0 0 0 0 9 12 16 0.604381951846525
+1 0 0 0 0 10 12 16 0.469413038380277
+1 0 0 0 0 11 12 16 0.253278346094503
+1 0 0 0 0 12 12 16 -0.00665047319254958
+1 0 0 0 0 13 12 16 -0.265429365246958
+1 0 0 0 0 14 12 16 -0.478313108700085
+1 0 0 0 0 15 12 16 -0.608492170320791
+1 0 0 0 0 16 12 16 -0.633457407715208
+1 0 0 0 0 17 12 16 -0.548892104535778
+1 0 0 0 0 18 12 16 -0.369418369953888
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -0.638086200378305
+2 0 0 0 0 1 12 16 -0.57748024821656
+2 0 0 0 0 2 12 16 -0.417022714894814
+2 0 0 0 0 3 12 16 -0.184458165635327
+2 0 0 0 0 4 12 16 0.0800008762123354
+2 0 0 0 0 5 12 16 0.330627039777741
+2 0 0 0 0 6 12 16 0.524084784513214
+2 0 0 0 0 7 12 16 0.626923508845556
+2 0 0 0 0 8 12 16 0.621361463077223
+2 0 0 0 0 9 12 16 0.508360375451159
+2 0 0 0 0 10 12 16 0.307459160600565
+2 0 0 0 0 11 12 16 0.0533954637033468
+2 0 0 0 0 12 12 16 -0.209900793950739
+2 0 0 0 0 13 12 16 -0.436903297441893
+2 0 0 0 0 14 12 16 -0.588361251663493
+2 0 0 0 0 15 12 16 -0.638086200378305
+2 0 0 0 0 16 12 16 -0.57748024821656
+2 0 0 0 0 17 12 16 -0.417022714894814
+2 0 0 0 0 18 12 16 -0.184458165635327
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -0.600801795900965
+3 0 0 0 0 1 12 16 -0.460809125595697
+3 0 0 0 0 2 12 16 -0.241138371155451
+3 0 0 0 0 3 12 16 0.0202273983308999
+3 0 0 0 0 4 12 16 0.278095666885694
+3 0 0 0 0 5 12 16 0.487878668216131
+3 0 0 0 0 6 12 16 0.613303015573443
+3 0 0 0 0 7 12 16 0.632681699855125
+3 0 0 0 0 8 12 16 0.542663970499055
+3 0 0 0 0 9 12 16 0.358814710696295
+3 0 0 0 0 10 12 16 0.112923127684834
+3 0 0 0 0 11 12 16 -0.152493889977744
+3 0 0 0 0 12 12 16 -0.391543328699671
+3 0 0 0 0 13 12 16 -0.562891368829953
+3 0 0 0 0 14 12 16 -0.636910377581988
+3 0 0 0 0 15 12 16 -0.600801795900965
+3 0 0 0 0 16 12 16 -0.460809125595697
+3 0 0 0 0 17 12 16 -0.241138371155451
+3 0 0 0 0 18 12 16 0.0202273983308999
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -0.50038504730599
+4 0 0 0 0 1 12 16 -0.295557108392468
+4 0 0 0 0 2 12 16 -0.0396246603858525
+4 0 0 0 0 3 12 16 0.223159251380213
+4 0 0 0 0 4 12 16 0.447356901244488
+4 0 0 0 0 5 12 16 0.594202478773731
+4 0 0 0 0 6 12 16 0.638305049562943
+4 0 0 0 0 7 12 16 0.572038878463393
+4 0 0 0 0 8 12 16 0.406861988467459
+4 0 0 0 0 9 12 16 0.171334964440373
+4 0 0 0 0 10 12 16 -0.0938174314677396
+4 0 0 0 0 11 12 16 -0.342747941170472
+4 0 0 0 0 12 12 16 -0.532414218077537
+4 0 0 0 0 13 12 16 -0.630021239847671
+4 0 0 0 0 14 12 16 -0.618691865684861
+4 0 0 0 0 15 12 16 -0.50038504730599
+4 0 0 0 0 16 12 16 -0.295557108392468
+4 0 0 0 0 17 12 16 -0.0396246603858525
+4 0 0 0 0 18 12 16 0.223159251380213
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -0.34723280804116
+5 0 0 0 0 1 12 16 -0.0989793588236481
+5 0 0 0 0 2 12 16 0.166388520733717
+5 0 0 0 0 3 12 16 0.402986313463963
+5 0 0 0 0 4 12 16 0.569904111580568
+5 0 0 0 0 5 12 16 0.638280311388575
+5 0 0 0 0 6 12 16 0.596292046762909
+5 0 0 0 0 7 12 16 0.451199470108754
+5 0 0 0 0 8 12 16 0.228090406054292
+5 0 0 0 0 9 12 16 -0.0344575613432429
+5 0 0 0 0 10 12 16 -0.291047503347414
+5 0 0 0 0 11 12 16 -0.497312687939257
+5 0 0 0 0 12 12 16 -0.617587990842467
+5 0 0 0 0 13 12 16 -0.631076719518255
+5 0 0 0 0 14 12 16 -0.535446550237324
+5 0 0 0 0 15 12 16 -0.34723280804116
+5 0 0 0 0 16 12 16 -0.0989793588236481
+5 0 0 0 0 17 12 16 0.166388520733717
+5 0 0 0 0 18 12 16 0.402986313463963
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -0.157316535477104
+6 0 0 0 0 1 12 16 0.108328421385471
+6 0 0 0 0 2 12 16 0.355242410057684
+6 0 0 0 0 3 12 16 0.540731758754941
+6 0 0 0 0 4 12 16 0.632723673969661
+6 0 0 0 0 5 12 16 0.615311917840902
+6 0 0 0 0 6 12 16 0.491507141184166
+6 0 0 0 0 7 12 16 0.282716314614489
+6 0 0 0 0 8 12 16 0.0250412688508799
+6 0 0 0 0 9 12 16 -0.236963639789832
+6 0 0 0 0 10 12 16 -0.457995382363797
+6 0 0 0 0 11 12 16 -0.599835562569634
+6 0 0 0 0 12 12 16 -0.637958724672169
+6 0 0 0 0 13 12 16 -0.56577302760582
+6 0 0 0 0 14 12 16 -0.395760034179828
+6 0 0 0 0 15 12 16 -0.157316535477104
+6 0 0 0 0 16 12 16 0.108328421385471
+6 0 0 0 0 17 12 16 0.355242410057684
+6 0 0 0 0 18 12 16 0.540731758754941
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.yl
new file mode 100644
index 000000000..8dd2b03f5
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.yl
@@ -0,0 +1,219 @@
+# HYDROTOY::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -0.611144992588299
+0 0 0 0 0 9 1 16 -0.636945771771587
+0 0 0 0 0 9 2 16 -0.611144992588303
+0 0 0 0 0 9 3 16 -0.535832880724733
+0 0 0 0 0 9 4 16 -0.417110775585691
+0 0 0 0 0 9 5 16 -0.264596836061994
+0 0 0 0 0 9 6 16 -0.0906468344985295
+0 0 0 0 0 9 7 16 0.0906468344985235
+0 0 0 0 0 9 8 16 0.264596836061988
+0 0 0 0 0 9 9 16 0.417110775585686
+0 0 0 0 0 9 10 16 0.53583288072473
+0 0 0 0 0 9 11 16 0.611144992588301
+0 0 0 0 0 9 12 16 0.636945771771587
+0 0 0 0 0 9 13 16 0.611144992588301
+0 0 0 0 0 9 14 16 0.53583288072473
+0 0 0 0 0 9 15 16 0.417110775585686
+0 0 0 0 0 9 16 16 0.264596836061988
+0 0 0 0 0 9 17 16 0.0906468344985234
+0 0 0 0 0 9 18 16 -0.0906468344985296
+0 0 0 0 0 9 19 16 -0.264596836061994
+0 0 0 0 0 9 20 16 -0.417110775585691
+0 0 0 0 0 9 21 16 -0.535832880724734
+0 0 0 0 0 9 22 16 -0.611144992588303
+0 0 0 0 0 9 23 16 -0.636945771771587
+0 0 0 0 0 9 24 16 -0.611144992588299
+0 0 0 0 0 9 25 16 -0.535832880724727
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 -0.637195713383579
+1 0 0 0 0 9 1 16 -0.604381951846523
+1 0 0 0 0 9 2 16 -0.522604758968737
+1 0 0 0 0 9 3 16 -0.398489236569475
+1 0 0 0 0 9 4 16 -0.242090486130096
+1 0 0 0 0 9 5 16 -0.0660790042720144
+1 0 0 0 0 9 6 16 0.115285805525215
+1 0 0 0 0 9 7 16 0.287310844989877
+1 0 0 0 0 9 8 16 0.436059668496847
+1 0 0 0 0 9 9 16 0.549481531008906
+1 0 0 0 0 9 10 16 0.618387667771117
+1 0 0 0 0 9 11 16 0.637195713383579
+1 0 0 0 0 9 12 16 0.604381951846525
+1 0 0 0 0 9 13 16 0.522604758968734
+1 0 0 0 0 9 14 16 0.39848923656947
+1 0 0 0 0 9 15 16 0.24209048613009
+1 0 0 0 0 9 16 16 0.0660790042720083
+1 0 0 0 0 9 17 16 -0.115285805525221
+1 0 0 0 0 9 18 16 -0.287310844989883
+1 0 0 0 0 9 19 16 -0.436059668496852
+1 0 0 0 0 9 20 16 -0.54948153100891
+1 0 0 0 0 9 21 16 -0.618387667771118
+1 0 0 0 0 9 22 16 -0.637195713383579
+1 0 0 0 0 9 23 16 -0.604381951846523
+1 0 0 0 0 9 24 16 -0.522604758968737
+1 0 0 0 0 9 25 16 -0.398489236569475
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 -0.59648290094983
+2 0 0 0 0 9 1 16 -0.508360375451156
+2 0 0 0 0 9 2 16 -0.379053515669004
+2 0 0 0 0 9 3 16 -0.2190379943654
+2 0 0 0 0 9 4 16 -0.0412773174274225
+2 0 0 0 0 9 5 16 0.139827402282866
+2 0 0 0 0 9 6 16 0.309604137445777
+2 0 0 0 0 9 7 16 0.454298586679535
+2 0 0 0 0 9 8 16 0.562188466238243
+2 0 0 0 0 9 9 16 0.624533179725876
+2 0 0 0 0 9 10 16 0.636281929233952
+2 0 0 0 0 9 11 16 0.596482900949832
+2 0 0 0 0 9 12 16 0.508360375451159
+2 0 0 0 0 9 13 16 0.379053515668998
+2 0 0 0 0 9 14 16 0.219037994365394
+2 0 0 0 0 9 15 16 0.0412773174274162
+2 0 0 0 0 9 16 16 -0.139827402282872
+2 0 0 0 0 9 17 16 -0.309604137445783
+2 0 0 0 0 9 18 16 -0.454298586679539
+2 0 0 0 0 9 19 16 -0.562188466238246
+2 0 0 0 0 9 20 16 -0.624533179725877
+2 0 0 0 0 9 21 16 -0.636281929233952
+2 0 0 0 0 9 22 16 -0.59648290094983
+2 0 0 0 0 9 23 16 -0.508360375451156
+2 0 0 0 0 9 24 16 -0.379053515669004
+2 0 0 0 0 9 25 16 -0.2190379943654
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 -0.493113583217527
+3 0 0 0 0 9 1 16 -0.358814710696291
+3 0 0 0 0 9 2 16 -0.195446804267703
+3 0 0 0 0 9 3 16 -0.0162449601242362
+3 0 0 0 0 9 4 16 0.164272954075997
+3 0 0 0 0 9 5 16 0.331482450505869
+3 0 0 0 0 9 6 16 0.471837210197796
+3 0 0 0 0 9 7 16 0.573966525243435
+3 0 0 0 0 9 8 16 0.629596485924211
+3 0 0 0 0 9 9 16 0.634220283669883
+3 0 0 0 0 9 10 16 0.587463325885882
+3 0 0 0 0 9 11 16 0.493113583217531
+3 0 0 0 0 9 12 16 0.358814710696295
+3 0 0 0 0 9 13 16 0.195446804267697
+3 0 0 0 0 9 14 16 0.0162449601242304
+3 0 0 0 0 9 15 16 -0.164272954076003
+3 0 0 0 0 9 16 16 -0.331482450505874
+3 0 0 0 0 9 17 16 -0.4718372101978
+3 0 0 0 0 9 18 16 -0.573966525243437
+3 0 0 0 0 9 19 16 -0.629596485924212
+3 0 0 0 0 9 20 16 -0.634220283669883
+3 0 0 0 0 9 21 16 -0.587463325885879
+3 0 0 0 0 9 22 16 -0.493113583217527
+3 0 0 0 0 9 23 16 -0.358814710696291
+3 0 0 0 0 9 24 16 -0.195446804267703
+3 0 0 0 0 9 25 16 -0.0162449601242362
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 -0.337796446653127
+4 0 0 0 0 9 1 16 -0.17133496444037
+4 0 0 0 0 9 2 16 0.00900705762306821
+4 0 0 0 0 9 3 16 0.188619381444931
+4 0 0 0 0 9 4 16 0.352950884744777
+4 0 0 0 0 9 5 16 0.488688406442338
+4 0 0 0 0 9 6 16 0.584835299791801
+4 0 0 0 0 9 7 16 0.633602315301583
+4 0 0 0 0 9 8 16 0.631038639403692
+4 0 0 0 0 9 9 16 0.577351965872606
+4 0 0 0 0 9 10 16 0.476891669710873
+4 0 0 0 0 9 11 16 0.337796446653131
+4 0 0 0 0 9 12 16 0.171334964440373
+4 0 0 0 0 9 13 16 -0.00900705762307509
+4 0 0 0 0 9 14 16 -0.188619381444936
+4 0 0 0 0 9 15 16 -0.352950884744783
+4 0 0 0 0 9 16 16 -0.488688406442342
+4 0 0 0 0 9 17 16 -0.584835299791803
+4 0 0 0 0 9 18 16 -0.633602315301584
+4 0 0 0 0 9 19 16 -0.631038639403691
+4 0 0 0 0 9 20 16 -0.577351965872604
+4 0 0 0 0 9 21 16 -0.476891669710869
+4 0 0 0 0 9 22 16 -0.337796446653127
+4 0 0 0 0 9 23 16 -0.17133496444037
+4 0 0 0 0 9 24 16 0.00900705762306821
+4 0 0 0 0 9 25 16 0.188619381444931
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 -0.146732746204847
+5 0 0 0 0 9 1 16 0.0344575613432452
+5 0 0 0 0 9 2 16 0.212856322198309
+5 0 0 0 0 9 3 16 0.374010729734168
+5 0 0 0 0 9 4 16 0.504865012274416
+5 0 0 0 0 9 5 16 0.594818134068033
+5 0 0 0 0 9 6 16 0.63658262815911
+5 0 0 0 0 9 7 16 0.6267749836194
+5 0 0 0 0 9 8 16 0.566189757481202
+5 0 0 0 0 9 9 16 0.459735204452018
+5 0 0 0 0 9 10 16 0.31603563930867
+5 0 0 0 0 9 11 16 0.146732746204851
+5 0 0 0 0 9 12 16 -0.0344575613432429
+5 0 0 0 0 9 13 16 -0.212856322198315
+5 0 0 0 0 9 14 16 -0.374010729734171
+5 0 0 0 0 9 15 16 -0.50486501227442
+5 0 0 0 0 9 16 16 -0.594818134068035
+5 0 0 0 0 9 17 16 -0.63658262815911
+5 0 0 0 0 9 18 16 -0.626774983619399
+5 0 0 0 0 9 19 16 -0.566189757481199
+5 0 0 0 0 9 20 16 -0.459735204452014
+5 0 0 0 0 9 21 16 -0.316035639308665
+5 0 0 0 0 9 22 16 -0.146732746204847
+5 0 0 0 0 9 23 16 0.0344575613432452
+5 0 0 0 0 9 24 16 0.212856322198309
+5 0 0 0 0 9 25 16 0.374010729734168
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 0.0600734663797312
+6 0 0 0 0 9 1 16 0.236963639789833
+6 0 0 0 0 9 2 16 0.394656428381187
+6 0 0 0 0 9 3 16 0.520376500257261
+6 0 0 0 0 9 4 16 0.603938762880696
+6 0 0 0 0 9 5 16 0.638573498697662
+6 0 0 0 0 9 6 16 0.621474807392969
+6 0 0 0 0 9 7 16 0.554027923246292
+6 0 0 0 0 9 8 16 0.441696991689129
+6 0 0 0 0 9 9 16 0.293582396738469
+6 0 0 0 0 9 10 16 0.121683502005799
+6 0 0 0 0 9 11 16 -0.0600734663797285
+6 0 0 0 0 9 12 16 -0.236963639789832
+6 0 0 0 0 9 13 16 -0.394656428381192
+6 0 0 0 0 9 14 16 -0.520376500257262
+6 0 0 0 0 9 15 16 -0.603938762880698
+6 0 0 0 0 9 16 16 -0.638573498697663
+6 0 0 0 0 9 17 16 -0.621474807392968
+6 0 0 0 0 9 18 16 -0.554027923246289
+6 0 0 0 0 9 19 16 -0.441696991689125
+6 0 0 0 0 9 20 16 -0.293582396738464
+6 0 0 0 0 9 21 16 -0.121683502005794
+6 0 0 0 0 9 22 16 0.0600734663797312
+6 0 0 0 0 9 23 16 0.236963639789833
+6 0 0 0 0 9 24 16 0.394656428381187
+6 0 0 0 0 9 25 16 0.520376500257261
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.zl
new file mode 100644
index 000000000..7f168ca87
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vx.zl
@@ -0,0 +1,275 @@
+# HYDROTOY::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 0.581878916566596
+0 0 0 0 0 9 12 1 0.636945771771587
+0 0 0 0 0 9 12 2 0.581878916566593
+0 0 0 0 0 9 12 3 0.42619991048323
+0 0 0 0 0 9 12 4 0.196827067972683
+0 0 0 0 0 9 12 5 -0.0665789627081168
+0 0 0 0 0 9 12 6 -0.318472885885796
+0 0 0 0 0 9 12 7 -0.515299953858482
+0 0 0 0 0 9 12 8 -0.62302697845592
+0 0 0 0 0 9 12 9 -0.62302697845592
+0 0 0 0 0 9 12 10 -0.515299953858479
+0 0 0 0 0 9 12 11 -0.318472885885792
+0 0 0 0 0 9 12 12 -0.0665789627081123
+0 0 0 0 0 9 12 13 0.196827067972688
+0 0 0 0 0 9 12 14 0.426199910483233
+0 0 0 0 0 9 12 15 0.581878916566594
+0 0 0 0 0 9 12 16 0.636945771771587
+0 0 0 0 0 9 12 17 0.581878916566594
+0 0 0 0 0 9 12 18 0.426199910483233
+0 0 0 0 0 9 12 19 0.196827067972688
+0 0 0 0 0 9 12 20 -0.0665789627081124
+0 0 0 0 0 9 12 21 -0.318472885885792
+0 0 0 0 0 9 12 22 -0.515299953858479
+0 0 0 0 0 9 12 23 -0.62302697845592
+0 0 0 0 0 9 12 24 -0.62302697845592
+0 0 0 0 0 9 12 25 -0.515299953858482
+0 0 0 0 0 9 12 26 -0.318472885885796
+0 0 0 0 0 9 12 27 -0.0665789627081168
+0 0 0 0 0 9 12 28 0.196827067972684
+0 0 0 0 0 9 12 29 0.42619991048323
+0 0 0 0 0 9 12 30 0.581878916566593
+0 0 0 0 0 9 12 31 0.636945771771587
+0 0 0 0 0 9 12 32 0.581878916566596
+0 0 0 0 0 9 12 33 0.426199910483237
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 0.634847735200847
+1 0 0 0 0 9 12 1 0.604381951846527
+1 0 0 0 0 9 12 2 0.469413038380274
+1 0 0 0 0 9 12 3 0.253278346094499
+1 0 0 0 0 9 12 4 -0.00665047319255442
+1 0 0 0 0 9 12 5 -0.265429365246962
+1 0 0 0 0 9 12 6 -0.478313108700088
+1 0 0 0 0 9 12 7 -0.608492170320792
+1 0 0 0 0 9 12 8 -0.633457407715207
+1 0 0 0 0 9 12 9 -0.548892104535778
+1 0 0 0 0 9 12 10 -0.369418369953887
+1 0 0 0 0 9 12 11 -0.126068843146438
+1 0 0 0 0 9 12 12 0.139079131940516
+1 0 0 0 0 9 12 13 0.380179061620706
+1 0 0 0 0 9 12 14 0.555542577728329
+1 0 0 0 0 9 12 15 0.634847735200848
+1 0 0 0 0 9 12 16 0.604381951846525
+1 0 0 0 0 9 12 17 0.469413038380277
+1 0 0 0 0 9 12 18 0.253278346094503
+1 0 0 0 0 9 12 19 -0.00665047319254941
+1 0 0 0 0 9 12 20 -0.265429365246958
+1 0 0 0 0 9 12 21 -0.478313108700085
+1 0 0 0 0 9 12 22 -0.608492170320791
+1 0 0 0 0 9 12 23 -0.633457407715208
+1 0 0 0 0 9 12 24 -0.54889210453578
+1 0 0 0 0 9 12 25 -0.369418369953891
+1 0 0 0 0 9 12 26 -0.126068843146442
+1 0 0 0 0 9 12 27 0.139079131940511
+1 0 0 0 0 9 12 28 0.380179061620702
+1 0 0 0 0 9 12 29 0.555542577728327
+1 0 0 0 0 9 12 30 0.634847735200847
+1 0 0 0 0 9 12 31 0.604381951846527
+1 0 0 0 0 9 12 32 0.469413038380274
+1 0 0 0 0 9 12 33 0.253278346094499
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 0.621361463077224
+2 0 0 0 0 9 12 1 0.508360375451162
+2 0 0 0 0 9 12 2 0.307459160600561
+2 0 0 0 0 9 12 3 0.0533954637033426
+2 0 0 0 0 9 12 4 -0.209900793950744
+2 0 0 0 0 9 12 5 -0.436903297441897
+2 0 0 0 0 9 12 6 -0.588361251663495
+2 0 0 0 0 9 12 7 -0.638086200378305
+2 0 0 0 0 9 12 8 -0.577480248216559
+2 0 0 0 0 9 12 9 -0.417022714894814
+2 0 0 0 0 9 12 10 -0.184458165635327
+2 0 0 0 0 9 12 11 0.0800008762123356
+2 0 0 0 0 9 12 12 0.330627039777741
+2 0 0 0 0 9 12 13 0.524084784513215
+2 0 0 0 0 9 12 14 0.626923508845556
+2 0 0 0 0 9 12 15 0.621361463077223
+2 0 0 0 0 9 12 16 0.508360375451159
+2 0 0 0 0 9 12 17 0.307459160600565
+2 0 0 0 0 9 12 18 0.0533954637033469
+2 0 0 0 0 9 12 19 -0.209900793950739
+2 0 0 0 0 9 12 20 -0.436903297441893
+2 0 0 0 0 9 12 21 -0.588361251663493
+2 0 0 0 0 9 12 22 -0.638086200378305
+2 0 0 0 0 9 12 23 -0.577480248216561
+2 0 0 0 0 9 12 24 -0.417022714894818
+2 0 0 0 0 9 12 25 -0.184458165635331
+2 0 0 0 0 9 12 26 0.080000876212331
+2 0 0 0 0 9 12 27 0.330627039777737
+2 0 0 0 0 9 12 28 0.524084784513212
+2 0 0 0 0 9 12 29 0.626923508845555
+2 0 0 0 0 9 12 30 0.621361463077224
+2 0 0 0 0 9 12 31 0.508360375451162
+2 0 0 0 0 9 12 32 0.307459160600561
+2 0 0 0 0 9 12 33 0.0533954637033426
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 0.542663970499057
+3 0 0 0 0 9 12 1 0.358814710696298
+3 0 0 0 0 9 12 2 0.112923127684829
+3 0 0 0 0 9 12 3 -0.152493889977748
+3 0 0 0 0 9 12 4 -0.391543328699675
+3 0 0 0 0 9 12 5 -0.562891368829955
+3 0 0 0 0 9 12 6 -0.636910377581988
+3 0 0 0 0 9 12 7 -0.600801795900964
+3 0 0 0 0 9 12 8 -0.460809125595696
+3 0 0 0 0 9 12 9 -0.241138371155451
+3 0 0 0 0 9 12 10 0.0202273983309004
+3 0 0 0 0 9 12 11 0.278095666885694
+3 0 0 0 0 9 12 12 0.487878668216131
+3 0 0 0 0 9 12 13 0.613303015573443
+3 0 0 0 0 9 12 14 0.632681699855125
+3 0 0 0 0 9 12 15 0.542663970499055
+3 0 0 0 0 9 12 16 0.358814710696295
+3 0 0 0 0 9 12 17 0.112923127684834
+3 0 0 0 0 9 12 18 -0.152493889977744
+3 0 0 0 0 9 12 19 -0.391543328699671
+3 0 0 0 0 9 12 20 -0.562891368829953
+3 0 0 0 0 9 12 21 -0.636910377581988
+3 0 0 0 0 9 12 22 -0.600801795900965
+3 0 0 0 0 9 12 23 -0.460809125595699
+3 0 0 0 0 9 12 24 -0.241138371155455
+3 0 0 0 0 9 12 25 0.0202273983308956
+3 0 0 0 0 9 12 26 0.27809566688569
+3 0 0 0 0 9 12 27 0.487878668216128
+3 0 0 0 0 9 12 28 0.613303015573441
+3 0 0 0 0 9 12 29 0.632681699855126
+3 0 0 0 0 9 12 30 0.542663970499057
+3 0 0 0 0 9 12 31 0.358814710696298
+3 0 0 0 0 9 12 32 0.112923127684829
+3 0 0 0 0 9 12 33 -0.152493889977748
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 0.406861988467461
+4 0 0 0 0 9 12 1 0.171334964440375
+4 0 0 0 0 9 12 2 -0.0938174314677452
+4 0 0 0 0 9 12 3 -0.342747941170475
+4 0 0 0 0 9 12 4 -0.53241421807754
+4 0 0 0 0 9 12 5 -0.630021239847671
+4 0 0 0 0 9 12 6 -0.61869186568486
+4 0 0 0 0 9 12 7 -0.500385047305989
+4 0 0 0 0 9 12 8 -0.295557108392468
+4 0 0 0 0 9 12 9 -0.0396246603858536
+4 0 0 0 0 9 12 10 0.223159251380214
+4 0 0 0 0 9 12 11 0.447356901244488
+4 0 0 0 0 9 12 12 0.594202478773731
+4 0 0 0 0 9 12 13 0.638305049562943
+4 0 0 0 0 9 12 14 0.572038878463393
+4 0 0 0 0 9 12 15 0.406861988467459
+4 0 0 0 0 9 12 16 0.171334964440373
+4 0 0 0 0 9 12 17 -0.0938174314677396
+4 0 0 0 0 9 12 18 -0.342747941170472
+4 0 0 0 0 9 12 19 -0.532414218077537
+4 0 0 0 0 9 12 20 -0.630021239847671
+4 0 0 0 0 9 12 21 -0.618691865684861
+4 0 0 0 0 9 12 22 -0.500385047305992
+4 0 0 0 0 9 12 23 -0.295557108392472
+4 0 0 0 0 9 12 24 -0.0396246603858582
+4 0 0 0 0 9 12 25 0.223159251380209
+4 0 0 0 0 9 12 26 0.447356901244485
+4 0 0 0 0 9 12 27 0.594202478773729
+4 0 0 0 0 9 12 28 0.638305049562943
+4 0 0 0 0 9 12 29 0.572038878463395
+4 0 0 0 0 9 12 30 0.406861988467461
+4 0 0 0 0 9 12 31 0.171334964440375
+4 0 0 0 0 9 12 32 -0.0938174314677452
+4 0 0 0 0 9 12 33 -0.342747941170475
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 0.228090406054295
+5 0 0 0 0 9 12 1 -0.0344575613432415
+5 0 0 0 0 9 12 2 -0.29104750334742
+5 0 0 0 0 9 12 3 -0.497312687939259
+5 0 0 0 0 9 12 4 -0.617587990842469
+5 0 0 0 0 9 12 5 -0.631076719518255
+5 0 0 0 0 9 12 6 -0.535446550237322
+5 0 0 0 0 9 12 7 -0.347232808041159
+5 0 0 0 0 9 12 8 -0.0989793588236489
+5 0 0 0 0 9 12 9 0.166388520733715
+5 0 0 0 0 9 12 10 0.402986313463964
+5 0 0 0 0 9 12 11 0.569904111580567
+5 0 0 0 0 9 12 12 0.638280311388576
+5 0 0 0 0 9 12 13 0.596292046762908
+5 0 0 0 0 9 12 14 0.451199470108754
+5 0 0 0 0 9 12 15 0.228090406054293
+5 0 0 0 0 9 12 16 -0.0344575613432429
+5 0 0 0 0 9 12 17 -0.291047503347414
+5 0 0 0 0 9 12 18 -0.497312687939257
+5 0 0 0 0 9 12 19 -0.617587990842467
+5 0 0 0 0 9 12 20 -0.631076719518255
+5 0 0 0 0 9 12 21 -0.535446550237325
+5 0 0 0 0 9 12 22 -0.347232808041163
+5 0 0 0 0 9 12 23 -0.0989793588236532
+5 0 0 0 0 9 12 24 0.166388520733711
+5 0 0 0 0 9 12 25 0.40298631346396
+5 0 0 0 0 9 12 26 0.569904111580566
+5 0 0 0 0 9 12 27 0.638280311388575
+5 0 0 0 0 9 12 28 0.59629204676291
+5 0 0 0 0 9 12 29 0.451199470108757
+5 0 0 0 0 9 12 30 0.228090406054295
+5 0 0 0 0 9 12 31 -0.0344575613432415
+5 0 0 0 0 9 12 32 -0.29104750334742
+5 0 0 0 0 9 12 33 -0.497312687939259
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 0.025041268850882
+6 0 0 0 0 9 12 1 -0.236963639789831
+6 0 0 0 0 9 12 2 -0.457995382363801
+6 0 0 0 0 9 12 3 -0.599835562569633
+6 0 0 0 0 9 12 4 -0.63795872467217
+6 0 0 0 0 9 12 5 -0.565773027605818
+6 0 0 0 0 9 12 6 -0.395760034179826
+6 0 0 0 0 9 12 7 -0.157316535477102
+6 0 0 0 0 9 12 8 0.10832842138547
+6 0 0 0 0 9 12 9 0.355242410057682
+6 0 0 0 0 9 12 10 0.540731758754941
+6 0 0 0 0 9 12 11 0.63272367396966
+6 0 0 0 0 9 12 12 0.615311917840902
+6 0 0 0 0 9 12 13 0.491507141184166
+6 0 0 0 0 9 12 14 0.282716314614489
+6 0 0 0 0 9 12 15 0.02504126885088
+6 0 0 0 0 9 12 16 -0.236963639789832
+6 0 0 0 0 9 12 17 -0.457995382363797
+6 0 0 0 0 9 12 18 -0.599835562569634
+6 0 0 0 0 9 12 19 -0.637958724672169
+6 0 0 0 0 9 12 20 -0.565773027605821
+6 0 0 0 0 9 12 21 -0.395760034179829
+6 0 0 0 0 9 12 22 -0.157316535477107
+6 0 0 0 0 9 12 23 0.108328421385466
+6 0 0 0 0 9 12 24 0.355242410057678
+6 0 0 0 0 9 12 25 0.540731758754938
+6 0 0 0 0 9 12 26 0.63272367396966
+6 0 0 0 0 9 12 27 0.615311917840903
+6 0 0 0 0 9 12 28 0.491507141184169
+6 0 0 0 0 9 12 29 0.282716314614493
+6 0 0 0 0 9 12 30 0.025041268850882
+6 0 0 0 0 9 12 31 -0.236963639789831
+6 0 0 0 0 9 12 32 -0.457995382363801
+6 0 0 0 0 9 12 33 -0.599835562569633
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.xl
new file mode 100644
index 000000000..b803ef4f4
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.xl
@@ -0,0 +1,170 @@
+# HYDROTOY::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -0.351340877630785
+0 0 0 0 0 1 12 16 -0.424791121674493
+0 0 0 0 0 2 12 16 -0.424791121674492
+0 0 0 0 0 3 12 16 -0.351340877630783
+0 0 0 0 0 4 12 16 -0.217140604013041
+0 0 0 0 0 5 12 16 -0.045394747300986
+0 0 0 0 0 6 12 16 0.134200273617742
+0 0 0 0 0 7 12 16 0.290590848056751
+0 0 0 0 0 8 12 16 0.39673562493177
+0 0 0 0 0 9 12 16 0.434281208026084
+0 0 0 0 0 10 12 16 0.39673562493177
+0 0 0 0 0 11 12 16 0.290590848056751
+0 0 0 0 0 12 12 16 0.134200273617742
+0 0 0 0 0 13 12 16 -0.045394747300986
+0 0 0 0 0 14 12 16 -0.217140604013041
+0 0 0 0 0 15 12 16 -0.351340877630783
+0 0 0 0 0 16 12 16 -0.424791121674492
+0 0 0 0 0 17 12 16 -0.424791121674493
+0 0 0 0 0 18 12 16 -0.351340877630785
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -0.415891937557671
+1 0 0 0 0 1 12 16 -0.432015923162627
+1 0 0 0 0 2 12 16 -0.373440430911314
+1 0 0 0 0 3 12 16 -0.250293695555626
+1 0 0 0 0 4 12 16 -0.0838689063915308
+1 0 0 0 0 5 12 16 0.0970575786127553
+1 0 0 0 0 6 12 16 0.261201926534475
+1 0 0 0 0 7 12 16 0.380182088413377
+1 0 0 0 0 8 12 16 0.433425313359762
+1 0 0 0 0 9 12 16 0.411725364080886
+1 0 0 0 0 10 12 16 0.318834358944916
+1 0 0 0 0 11 12 16 0.170813996628152
+1 0 0 0 0 12 12 16 -0.00674165750206195
+1 0 0 0 0 13 12 16 -0.183131617804134
+1 0 0 0 0 14 12 16 -0.327856457689353
+1 0 0 0 0 15 12 16 -0.415891937557671
+1 0 0 0 0 16 12 16 -0.432015923162627
+1 0 0 0 0 17 12 16 -0.373440430911314
+1 0 0 0 0 18 12 16 -0.250293695555626
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -0.436390709668035
+2 0 0 0 0 1 12 16 -0.393242459943245
+2 0 0 0 0 2 12 16 -0.282099016398671
+2 0 0 0 0 3 12 16 -0.122178090129659
+2 0 0 0 0 4 12 16 0.0588685378758739
+2 0 0 0 0 5 12 16 0.229736260878792
+2 0 0 0 0 6 12 16 0.360880497287357
+2 0 0 0 0 7 12 16 0.429625217218545
+2 0 0 0 0 8 12 16 0.424083834070078
+2 0 0 0 0 9 12 16 0.345214503330211
+2 0 0 0 0 10 12 16 0.206654448789244
+2 0 0 0 0 11 12 16 0.0323619626558881
+2 0 0 0 0 12 12 16 -0.147526200819872
+2 0 0 0 0 13 12 16 -0.301905743940417
+2 0 0 0 0 14 12 16 -0.404083041206084
+2 0 0 0 0 15 12 16 -0.436390709668035
+2 0 0 0 0 16 12 16 -0.393242459943245
+2 0 0 0 0 17 12 16 -0.282099016398671
+2 0 0 0 0 18 12 16 -0.122178090129659
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -0.410565078310416
+3 0 0 0 0 1 12 16 -0.31242836501202
+3 0 0 0 0 2 12 16 -0.160269949080453
+3 0 0 0 0 3 12 16 0.019600597053901
+3 0 0 0 0 4 12 16 0.196082021891802
+3 0 0 0 0 5 12 16 0.338659083795364
+3 0 0 0 0 6 12 16 0.422678913489517
+3 0 0 0 0 7 12 16 0.433613719123954
+3 0 0 0 0 8 12 16 0.369572773464887
+3 0 0 0 0 9 12 16 0.241629337810498
+3 0 0 0 0 10 12 16 0.0719059945150529
+3 0 0 0 0 11 12 16 -0.110250548477497
+3 0 0 0 0 12 12 16 -0.273343770043499
+3 0 0 0 0 13 12 16 -0.389173370518787
+3 0 0 0 0 14 12 16 -0.437711359702299
+3 0 0 0 0 15 12 16 -0.410565078310416
+3 0 0 0 0 16 12 16 -0.31242836501202
+3 0 0 0 0 17 12 16 -0.160269949080453
+3 0 0 0 0 18 12 16 0.019600597053901
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -0.341009832150574
+4 0 0 0 0 1 12 16 -0.197963946518029
+4 0 0 0 0 2 12 16 -0.02068829608652
+4 0 0 0 0 3 12 16 0.160164548685615
+4 0 0 0 0 4 12 16 0.313323487940762
+4 0 0 0 0 5 12 16 0.412305949676424
+4 0 0 0 0 6 12 16 0.43999696703107
+4 0 0 0 0 7 12 16 0.391608511539087
+4 0 0 0 0 8 12 16 0.275507386750355
+4 0 0 0 0 9 12 16 0.111768531886454
+4 0 0 0 0 10 12 16 -0.0712961175258505
+4 0 0 0 0 11 12 16 -0.242033020513042
+4 0 0 0 0 12 12 16 -0.370920215452565
+4 0 0 0 0 13 12 16 -0.43567193543597
+4 0 0 0 0 14 12 16 -0.425092019827216
+4 0 0 0 0 15 12 16 -0.341009832150574
+4 0 0 0 0 16 12 16 -0.197963946518029
+4 0 0 0 0 17 12 16 -0.02068829608652
+4 0 0 0 0 18 12 16 0.160164548685615
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -0.234926515860751
+5 0 0 0 0 1 12 16 -0.0618012649721795
+5 0 0 0 0 2 12 16 0.12200998607695
+5 0 0 0 0 3 12 16 0.284724602107445
+5 0 0 0 0 4 12 16 0.398207747791759
+5 0 0 0 0 5 12 16 0.442837156279058
+5 0 0 0 0 6 12 16 0.410895997396441
+5 0 0 0 0 7 12 16 0.307907187691032
+5 0 0 0 0 8 12 16 0.151678427984859
+5 0 0 0 0 9 12 16 -0.0307769098751558
+5 0 0 0 0 10 12 16 -0.207910640418307
+5 0 0 0 0 11 12 16 -0.349094732424262
+5 0 0 0 0 12 12 16 -0.42991717376798
+5 0 0 0 0 13 12 16 -0.436403030092304
+5 0 0 0 0 14 12 16 -0.367430837916603
+5 0 0 0 0 15 12 16 -0.234926515860751
+5 0 0 0 0 16 12 16 -0.0618012649721795
+5 0 0 0 0 17 12 16 0.12200998607695
+5 0 0 0 0 18 12 16 0.284724602107445
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -0.103378011524754
+6 0 0 0 0 1 12 16 0.0817937416880688
+6 0 0 0 0 2 12 16 0.25282261389021
+6 0 0 0 0 3 12 16 0.38013615932939
+6 0 0 0 0 4 12 16 0.441720709391928
+6 0 0 0 0 5 12 16 0.426927735893935
+6 0 0 0 0 6 12 16 0.338315078343162
+6 0 0 0 0 7 12 16 0.191204670250857
+6 0 0 0 0 8 12 16 0.011033237632282
+6 0 0 0 0 9 12 16 -0.171045942006732
+6 0 0 0 0 10 12 16 -0.323549724369182
+6 0 0 0 0 11 12 16 -0.420108820031231
+6 0 0 0 0 12 12 16 -0.444027284141066
+6 0 0 0 0 13 12 16 -0.391169396961672
+6 0 0 0 0 14 12 16 -0.270674767385196
+6 0 0 0 0 15 12 16 -0.103378011524754
+6 0 0 0 0 16 12 16 0.0817937416880688
+6 0 0 0 0 17 12 16 0.25282261389021
+6 0 0 0 0 18 12 16 0.38013615932939
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.yl
new file mode 100644
index 000000000..f963029e8
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.yl
@@ -0,0 +1,219 @@
+# HYDROTOY::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -0.416689767673842
+0 0 0 0 0 9 1 16 -0.434281208026084
+0 0 0 0 0 9 2 16 -0.416689767673844
+0 0 0 0 0 9 3 16 -0.365340600494138
+0 0 0 0 0 9 4 16 -0.284393710626609
+0 0 0 0 0 9 5 16 -0.180406933678633
+0 0 0 0 0 9 6 16 -0.0618046598853613
+0 0 0 0 0 9 7 16 0.0618046598853572
+0 0 0 0 0 9 8 16 0.180406933678629
+0 0 0 0 0 9 9 16 0.284393710626606
+0 0 0 0 0 9 10 16 0.365340600494136
+0 0 0 0 0 9 11 16 0.416689767673843
+0 0 0 0 0 9 12 16 0.434281208026084
+0 0 0 0 0 9 13 16 0.416689767673843
+0 0 0 0 0 9 14 16 0.365340600494136
+0 0 0 0 0 9 15 16 0.284393710626605
+0 0 0 0 0 9 16 16 0.180406933678629
+0 0 0 0 0 9 17 16 0.0618046598853571
+0 0 0 0 0 9 18 16 -0.0618046598853614
+0 0 0 0 0 9 19 16 -0.180406933678633
+0 0 0 0 0 9 20 16 -0.284393710626609
+0 0 0 0 0 9 21 16 -0.365340600494138
+0 0 0 0 0 9 22 16 -0.416689767673844
+0 0 0 0 0 9 23 16 -0.434281208026084
+0 0 0 0 0 9 24 16 -0.416689767673842
+0 0 0 0 0 9 25 16 -0.365340600494133
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 -0.434734210686685
+1 0 0 0 0 9 1 16 -0.411725364080886
+1 0 0 0 0 9 2 16 -0.355360977102279
+1 0 0 0 0 9 3 16 -0.270207357171949
+1 0 0 0 0 9 4 16 -0.163163144148577
+1 0 0 0 0 9 5 16 -0.0429004235548697
+1 0 0 0 0 9 6 16 0.0808378342166104
+1 0 0 0 0 9 7 16 0.198027091420972
+1 0 0 0 0 9 8 16 0.299173371390867
+1 0 0 0 0 9 9 16 0.376082404063222
+1 0 0 0 0 9 10 16 0.422523477006552
+1 0 0 0 0 9 11 16 0.434734210686685
+1 0 0 0 0 9 12 16 0.411725364080886
+1 0 0 0 0 9 13 16 0.355360977102275
+1 0 0 0 0 9 14 16 0.270207357171945
+1 0 0 0 0 9 15 16 0.163163144148573
+1 0 0 0 0 9 16 16 0.0429004235548656
+1 0 0 0 0 9 17 16 -0.0808378342166146
+1 0 0 0 0 9 18 16 -0.198027091420976
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+1 0 0 0 0 9 21 16 -0.422523477006553
+1 0 0 0 0 9 22 16 -0.434734210686685
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+1 0 0 0 0 9 24 16 -0.355360977102279
+1 0 0 0 0 9 25 16 -0.270207357171949
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 -0.406533838434933
+2 0 0 0 0 9 1 16 -0.345214503330214
+2 0 0 0 0 9 2 16 -0.255927942235384
+2 0 0 0 0 9 3 16 -0.145907621322717
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+2 0 0 0 0 9 5 16 0.0997238995207541
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+2 0 0 0 0 9 7 16 0.313693786881789
+2 0 0 0 0 9 8 16 0.386538474299475
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+2 0 0 0 0 9 10 16 0.43491821969949
+2 0 0 0 0 9 11 16 0.406533838434934
+2 0 0 0 0 9 12 16 0.345214503330211
+2 0 0 0 0 9 13 16 0.255927942235378
+2 0 0 0 0 9 14 16 0.145907621322713
+2 0 0 0 0 9 15 16 0.0240667326765182
+2 0 0 0 0 9 16 16 -0.099723899520758
+2 0 0 0 0 9 17 16 -0.215435494459729
+2 0 0 0 0 9 18 16 -0.313693786881792
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+2 0 0 0 0 9 22 16 -0.406533838434933
+2 0 0 0 0 9 23 16 -0.345214503330214
+2 0 0 0 0 9 24 16 -0.255927942235384
+2 0 0 0 0 9 25 16 -0.145907621322717
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 -0.334933448650902
+3 0 0 0 0 9 1 16 -0.241629337810503
+3 0 0 0 0 9 2 16 -0.128749855045699
+3 0 0 0 0 9 3 16 -0.00543982472995432
+3 0 0 0 0 9 4 16 0.118310907833522
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+3 0 0 0 0 9 7 16 0.396583673685688
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+3 0 0 0 0 9 10 16 0.40110324340753
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+3 0 0 0 0 9 12 16 0.241629337810498
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+3 0 0 0 0 9 14 16 0.00543982472995024
+3 0 0 0 0 9 15 16 -0.118310907833526
+3 0 0 0 0 9 16 16 -0.232476794266392
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+3 0 0 0 0 9 18 16 -0.396583673685689
+3 0 0 0 0 9 19 16 -0.433229703282761
+3 0 0 0 0 9 20 16 -0.434778038836117
+3 0 0 0 0 9 21 16 -0.401103243407529
+3 0 0 0 0 9 22 16 -0.334933448650902
+3 0 0 0 0 9 23 16 -0.241629337810503
+3 0 0 0 0 9 24 16 -0.128749855045699
+3 0 0 0 0 9 25 16 -0.00543982472995432
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 -0.227350582070024
+4 0 0 0 0 9 1 16 -0.111768531886463
+4 0 0 0 0 9 2 16 0.012868340037492
+4 0 0 0 0 9 3 16 0.136462695582585
+4 0 0 0 0 9 4 16 0.249001655106467
+4 0 0 0 0 9 5 16 0.341367981403489
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+4 0 0 0 0 9 7 16 0.437891345119682
+4 0 0 0 0 9 8 16 0.434228633657117
+4 0 0 0 0 9 9 16 0.395387300752772
+4 0 0 0 0 9 10 16 0.324514040200256
+4 0 0 0 0 9 11 16 0.227350582070025
+4 0 0 0 0 9 12 16 0.111768531886454
+4 0 0 0 0 9 13 16 -0.0128683400375039
+4 0 0 0 0 9 14 16 -0.136462695582588
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+4 0 0 0 0 9 23 16 -0.111768531886463
+4 0 0 0 0 9 24 16 0.012868340037492
+4 0 0 0 0 9 25 16 0.136462695582585
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 -0.0950072936959622
+5 0 0 0 0 9 1 16 0.030776909875144
+5 0 0 0 0 9 2 16 0.154067751245506
+5 0 0 0 0 9 3 16 0.264876939686164
+5 0 0 0 0 9 4 16 0.354227373757255
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+5 0 0 0 0 9 10 16 0.213094571361964
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+5 0 0 0 0 9 23 16 0.030776909875144
+5 0 0 0 0 9 24 16 0.154067751245506
+5 0 0 0 0 9 25 16 0.264876939686164
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 0.0482402942310665
+6 0 0 0 0 9 1 16 0.171045942006719
+6 0 0 0 0 9 2 16 0.279994464810382
+6 0 0 0 0 9 3 16 0.366259501266316
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+6 0 0 0 0 9 22 16 0.0482402942310665
+6 0 0 0 0 9 23 16 0.171045942006719
+6 0 0 0 0 9 24 16 0.279994464810382
+6 0 0 0 0 9 25 16 0.366259501266316
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.zl
new file mode 100644
index 000000000..b3578a6e9
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vy.zl
@@ -0,0 +1,275 @@
+# HYDROTOY::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 0.396735624931772
+0 0 0 0 0 9 12 1 0.434281208026084
+0 0 0 0 0 9 12 2 0.396735624931769
+0 0 0 0 0 9 12 3 0.290590848056749
+0 0 0 0 0 9 12 4 0.134200273617739
+0 0 0 0 0 9 12 5 -0.0453947473009889
+0 0 0 0 0 9 12 6 -0.217140604013044
+0 0 0 0 0 9 12 7 -0.351340877630785
+0 0 0 0 0 9 12 8 -0.424791121674493
+0 0 0 0 0 9 12 9 -0.424791121674492
+0 0 0 0 0 9 12 10 -0.351340877630783
+0 0 0 0 0 9 12 11 -0.217140604013041
+0 0 0 0 0 9 12 12 -0.0453947473009859
+0 0 0 0 0 9 12 13 0.134200273617742
+0 0 0 0 0 9 12 14 0.290590848056751
+0 0 0 0 0 9 12 15 0.39673562493177
+0 0 0 0 0 9 12 16 0.434281208026084
+0 0 0 0 0 9 12 17 0.39673562493177
+0 0 0 0 0 9 12 18 0.290590848056751
+0 0 0 0 0 9 12 19 0.134200273617742
+0 0 0 0 0 9 12 20 -0.045394747300986
+0 0 0 0 0 9 12 21 -0.217140604013041
+0 0 0 0 0 9 12 22 -0.351340877630783
+0 0 0 0 0 9 12 23 -0.424791121674492
+0 0 0 0 0 9 12 24 -0.424791121674493
+0 0 0 0 0 9 12 25 -0.351340877630785
+0 0 0 0 0 9 12 26 -0.217140604013044
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+0 0 0 0 0 9 12 28 0.134200273617739
+0 0 0 0 0 9 12 29 0.290590848056749
+0 0 0 0 0 9 12 30 0.396735624931769
+0 0 0 0 0 9 12 31 0.434281208026084
+0 0 0 0 0 9 12 32 0.396735624931772
+0 0 0 0 0 9 12 33 0.290590848056754
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 0.433425313359762
+1 0 0 0 0 9 12 1 0.411725364080886
+1 0 0 0 0 9 12 2 0.318834358944915
+1 0 0 0 0 9 12 3 0.17081399662815
+1 0 0 0 0 9 12 4 -0.00674165750206535
+1 0 0 0 0 9 12 5 -0.183131617804137
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+1 0 0 0 0 9 12 7 -0.415891937557671
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+1 0 0 0 0 9 12 19 -0.00674165750206186
+1 0 0 0 0 9 12 20 -0.183131617804134
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+1 0 0 0 0 9 12 25 -0.250293695555629
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+1 0 0 0 0 9 12 28 0.261201926534473
+1 0 0 0 0 9 12 29 0.380182088413376
+1 0 0 0 0 9 12 30 0.433425313359762
+1 0 0 0 0 9 12 31 0.411725364080886
+1 0 0 0 0 9 12 32 0.318834358944915
+1 0 0 0 0 9 12 33 0.17081399662815
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 0.424083834070079
+2 0 0 0 0 9 12 1 0.345214503330213
+2 0 0 0 0 9 12 2 0.206654448789242
+2 0 0 0 0 9 12 3 0.0323619626558851
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+2 0 0 0 0 9 12 11 0.058868537875874
+2 0 0 0 0 9 12 12 0.229736260878792
+2 0 0 0 0 9 12 13 0.360880497287357
+2 0 0 0 0 9 12 14 0.429625217218545
+2 0 0 0 0 9 12 15 0.424083834070078
+2 0 0 0 0 9 12 16 0.345214503330211
+2 0 0 0 0 9 12 17 0.206654448789244
+2 0 0 0 0 9 12 18 0.0323619626558882
+2 0 0 0 0 9 12 19 -0.147526200819872
+2 0 0 0 0 9 12 20 -0.301905743940417
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+2 0 0 0 0 9 12 24 -0.282099016398674
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+2 0 0 0 0 9 12 26 0.0588685378758712
+2 0 0 0 0 9 12 27 0.229736260878789
+2 0 0 0 0 9 12 28 0.360880497287356
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+2 0 0 0 0 9 12 30 0.424083834070079
+2 0 0 0 0 9 12 31 0.345214503330213
+2 0 0 0 0 9 12 32 0.206654448789242
+2 0 0 0 0 9 12 33 0.0323619626558851
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 0.369572773464889
+3 0 0 0 0 9 12 1 0.2416293378105
+3 0 0 0 0 9 12 2 0.0719059945150494
+3 0 0 0 0 9 12 3 -0.1102505484775
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+3 0 0 0 0 9 12 28 0.422678913489517
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+3 0 0 0 0 9 12 32 0.0719059945150494
+3 0 0 0 0 9 12 33 -0.1102505484775
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 0.275507386750357
+4 0 0 0 0 9 12 1 0.111768531886456
+4 0 0 0 0 9 12 2 -0.0712961175258543
+4 0 0 0 0 9 12 3 -0.242033020513044
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+4 0 0 0 0 9 12 28 0.439996967031071
+4 0 0 0 0 9 12 29 0.391608511539088
+4 0 0 0 0 9 12 30 0.275507386750357
+4 0 0 0 0 9 12 31 0.111768531886456
+4 0 0 0 0 9 12 32 -0.0712961175258543
+4 0 0 0 0 9 12 33 -0.242033020513044
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 0.15167842798486
+5 0 0 0 0 9 12 1 -0.0307769098751551
+5 0 0 0 0 9 12 2 -0.207910640418311
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+5 0 0 0 0 9 12 15 0.151678427984859
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+5 0 0 0 0 9 12 24 0.122009986076946
+5 0 0 0 0 9 12 25 0.284724602107443
+5 0 0 0 0 9 12 26 0.398207747791758
+5 0 0 0 0 9 12 27 0.442837156279058
+5 0 0 0 0 9 12 28 0.410895997396442
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+5 0 0 0 0 9 12 30 0.15167842798486
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+5 0 0 0 0 9 12 32 -0.207910640418311
+5 0 0 0 0 9 12 33 -0.349094732424263
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 0.0110332376322835
+6 0 0 0 0 9 12 1 -0.171045942006732
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+6 0 0 0 0 9 12 17 -0.323549724369182
+6 0 0 0 0 9 12 18 -0.420108820031231
+6 0 0 0 0 9 12 19 -0.444027284141066
+6 0 0 0 0 9 12 20 -0.391169396961673
+6 0 0 0 0 9 12 21 -0.270674767385196
+6 0 0 0 0 9 12 22 -0.103378011524755
+6 0 0 0 0 9 12 23 0.081793741688067
+6 0 0 0 0 9 12 24 0.252822613890207
+6 0 0 0 0 9 12 25 0.380136159329389
+6 0 0 0 0 9 12 26 0.441720709391927
+6 0 0 0 0 9 12 27 0.426927735893936
+6 0 0 0 0 9 12 28 0.338315078343164
+6 0 0 0 0 9 12 29 0.191204670250859
+6 0 0 0 0 9 12 30 0.0110332376322835
+6 0 0 0 0 9 12 31 -0.171045942006732
+6 0 0 0 0 9 12 32 -0.323549724369184
+6 0 0 0 0 9 12 33 -0.42010882003123
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.xl
new file mode 100644
index 000000000..0d957fb62
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.xl
@@ -0,0 +1,170 @@
+# HYDROTOY::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -0.515299953858482
+0 0 0 0 0 1 12 16 -0.62302697845592
+0 0 0 0 0 2 12 16 -0.62302697845592
+0 0 0 0 0 3 12 16 -0.51529995385848
+0 0 0 0 0 4 12 16 -0.318472885885792
+0 0 0 0 0 5 12 16 -0.0665789627081124
+0 0 0 0 0 6 12 16 0.196827067972688
+0 0 0 0 0 7 12 16 0.426199910483233
+0 0 0 0 0 8 12 16 0.581878916566594
+0 0 0 0 0 9 12 16 0.636945771771587
+0 0 0 0 0 10 12 16 0.581878916566594
+0 0 0 0 0 11 12 16 0.426199910483233
+0 0 0 0 0 12 12 16 0.196827067972688
+0 0 0 0 0 13 12 16 -0.0665789627081126
+0 0 0 0 0 14 12 16 -0.318472885885792
+0 0 0 0 0 15 12 16 -0.51529995385848
+0 0 0 0 0 16 12 16 -0.62302697845592
+0 0 0 0 0 17 12 16 -0.62302697845592
+0 0 0 0 0 18 12 16 -0.515299953858482
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -0.608492170320791
+1 0 0 0 0 1 12 16 -0.633457407715208
+1 0 0 0 0 2 12 16 -0.548892104535778
+1 0 0 0 0 3 12 16 -0.369418369953888
+1 0 0 0 0 4 12 16 -0.126068843146438
+1 0 0 0 0 5 12 16 0.139079131940516
+1 0 0 0 0 6 12 16 0.380179061620706
+1 0 0 0 0 7 12 16 0.555542577728329
+1 0 0 0 0 8 12 16 0.634847735200848
+1 0 0 0 0 9 12 16 0.604381951846525
+1 0 0 0 0 10 12 16 0.469413038380277
+1 0 0 0 0 11 12 16 0.253278346094503
+1 0 0 0 0 12 12 16 -0.00665047319254958
+1 0 0 0 0 13 12 16 -0.265429365246958
+1 0 0 0 0 14 12 16 -0.478313108700085
+1 0 0 0 0 15 12 16 -0.608492170320791
+1 0 0 0 0 16 12 16 -0.633457407715208
+1 0 0 0 0 17 12 16 -0.548892104535778
+1 0 0 0 0 18 12 16 -0.369418369953888
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -0.638086200378305
+2 0 0 0 0 1 12 16 -0.577480248216561
+2 0 0 0 0 2 12 16 -0.417022714894814
+2 0 0 0 0 3 12 16 -0.184458165635327
+2 0 0 0 0 4 12 16 0.0800008762123353
+2 0 0 0 0 5 12 16 0.330627039777741
+2 0 0 0 0 6 12 16 0.524084784513215
+2 0 0 0 0 7 12 16 0.626923508845556
+2 0 0 0 0 8 12 16 0.621361463077223
+2 0 0 0 0 9 12 16 0.508360375451159
+2 0 0 0 0 10 12 16 0.307459160600565
+2 0 0 0 0 11 12 16 0.0533954637033468
+2 0 0 0 0 12 12 16 -0.209900793950739
+2 0 0 0 0 13 12 16 -0.436903297441893
+2 0 0 0 0 14 12 16 -0.588361251663493
+2 0 0 0 0 15 12 16 -0.638086200378305
+2 0 0 0 0 16 12 16 -0.577480248216561
+2 0 0 0 0 17 12 16 -0.417022714894814
+2 0 0 0 0 18 12 16 -0.184458165635327
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -0.600801795900965
+3 0 0 0 0 1 12 16 -0.460809125595699
+3 0 0 0 0 2 12 16 -0.241138371155451
+3 0 0 0 0 3 12 16 0.0202273983308998
+3 0 0 0 0 4 12 16 0.278095666885694
+3 0 0 0 0 5 12 16 0.487878668216132
+3 0 0 0 0 6 12 16 0.613303015573443
+3 0 0 0 0 7 12 16 0.632681699855125
+3 0 0 0 0 8 12 16 0.542663970499055
+3 0 0 0 0 9 12 16 0.358814710696295
+3 0 0 0 0 10 12 16 0.112923127684834
+3 0 0 0 0 11 12 16 -0.152493889977744
+3 0 0 0 0 12 12 16 -0.391543328699671
+3 0 0 0 0 13 12 16 -0.562891368829953
+3 0 0 0 0 14 12 16 -0.636910377581988
+3 0 0 0 0 15 12 16 -0.600801795900965
+3 0 0 0 0 16 12 16 -0.460809125595699
+3 0 0 0 0 17 12 16 -0.241138371155451
+3 0 0 0 0 18 12 16 0.0202273983308998
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -0.500385047305991
+4 0 0 0 0 1 12 16 -0.295557108392471
+4 0 0 0 0 2 12 16 -0.0396246603858532
+4 0 0 0 0 3 12 16 0.223159251380213
+4 0 0 0 0 4 12 16 0.447356901244488
+4 0 0 0 0 5 12 16 0.594202478773731
+4 0 0 0 0 6 12 16 0.638305049562943
+4 0 0 0 0 7 12 16 0.572038878463393
+4 0 0 0 0 8 12 16 0.406861988467459
+4 0 0 0 0 9 12 16 0.171334964440373
+4 0 0 0 0 10 12 16 -0.0938174314677397
+4 0 0 0 0 11 12 16 -0.342747941170472
+4 0 0 0 0 12 12 16 -0.532414218077537
+4 0 0 0 0 13 12 16 -0.63002123984767
+4 0 0 0 0 14 12 16 -0.618691865684861
+4 0 0 0 0 15 12 16 -0.500385047305991
+4 0 0 0 0 16 12 16 -0.295557108392471
+4 0 0 0 0 17 12 16 -0.0396246603858532
+4 0 0 0 0 18 12 16 0.223159251380213
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -0.347232808041161
+5 0 0 0 0 1 12 16 -0.0989793588236514
+5 0 0 0 0 2 12 16 0.166388520733716
+5 0 0 0 0 3 12 16 0.402986313463963
+5 0 0 0 0 4 12 16 0.569904111580568
+5 0 0 0 0 5 12 16 0.638280311388576
+5 0 0 0 0 6 12 16 0.596292046762909
+5 0 0 0 0 7 12 16 0.451199470108754
+5 0 0 0 0 8 12 16 0.228090406054292
+5 0 0 0 0 9 12 16 -0.0344575613432431
+5 0 0 0 0 10 12 16 -0.291047503347414
+5 0 0 0 0 11 12 16 -0.497312687939257
+5 0 0 0 0 12 12 16 -0.617587990842467
+5 0 0 0 0 13 12 16 -0.631076719518255
+5 0 0 0 0 14 12 16 -0.535446550237325
+5 0 0 0 0 15 12 16 -0.347232808041161
+5 0 0 0 0 16 12 16 -0.0989793588236514
+5 0 0 0 0 17 12 16 0.166388520733716
+5 0 0 0 0 18 12 16 0.402986313463963
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -0.157316535477105
+6 0 0 0 0 1 12 16 0.108328421385468
+6 0 0 0 0 2 12 16 0.355242410057682
+6 0 0 0 0 3 12 16 0.54073175875494
+6 0 0 0 0 4 12 16 0.63272367396966
+6 0 0 0 0 5 12 16 0.615311917840902
+6 0 0 0 0 6 12 16 0.491507141184166
+6 0 0 0 0 7 12 16 0.282716314614489
+6 0 0 0 0 8 12 16 0.02504126885088
+6 0 0 0 0 9 12 16 -0.236963639789832
+6 0 0 0 0 10 12 16 -0.457995382363797
+6 0 0 0 0 11 12 16 -0.599835562569634
+6 0 0 0 0 12 12 16 -0.637958724672169
+6 0 0 0 0 13 12 16 -0.565773027605821
+6 0 0 0 0 14 12 16 -0.395760034179829
+6 0 0 0 0 15 12 16 -0.157316535477105
+6 0 0 0 0 16 12 16 0.108328421385468
+6 0 0 0 0 17 12 16 0.355242410057682
+6 0 0 0 0 18 12 16 0.54073175875494
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.yl
new file mode 100644
index 000000000..743e0cba1
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.yl
@@ -0,0 +1,219 @@
+# HYDROTOY::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -0.611144992588299
+0 0 0 0 0 9 1 16 -0.636945771771587
+0 0 0 0 0 9 2 16 -0.611144992588303
+0 0 0 0 0 9 3 16 -0.535832880724733
+0 0 0 0 0 9 4 16 -0.417110775585691
+0 0 0 0 0 9 5 16 -0.264596836061994
+0 0 0 0 0 9 6 16 -0.0906468344985295
+0 0 0 0 0 9 7 16 0.0906468344985235
+0 0 0 0 0 9 8 16 0.264596836061988
+0 0 0 0 0 9 9 16 0.417110775585686
+0 0 0 0 0 9 10 16 0.53583288072473
+0 0 0 0 0 9 11 16 0.611144992588301
+0 0 0 0 0 9 12 16 0.636945771771587
+0 0 0 0 0 9 13 16 0.611144992588301
+0 0 0 0 0 9 14 16 0.53583288072473
+0 0 0 0 0 9 15 16 0.417110775585686
+0 0 0 0 0 9 16 16 0.264596836061988
+0 0 0 0 0 9 17 16 0.0906468344985234
+0 0 0 0 0 9 18 16 -0.0906468344985296
+0 0 0 0 0 9 19 16 -0.264596836061994
+0 0 0 0 0 9 20 16 -0.417110775585691
+0 0 0 0 0 9 21 16 -0.535832880724734
+0 0 0 0 0 9 22 16 -0.611144992588303
+0 0 0 0 0 9 23 16 -0.636945771771587
+0 0 0 0 0 9 24 16 -0.611144992588299
+0 0 0 0 0 9 25 16 -0.535832880724727
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 -0.637195713383579
+1 0 0 0 0 9 1 16 -0.604381951846523
+1 0 0 0 0 9 2 16 -0.522604758968737
+1 0 0 0 0 9 3 16 -0.398489236569475
+1 0 0 0 0 9 4 16 -0.242090486130096
+1 0 0 0 0 9 5 16 -0.0660790042720144
+1 0 0 0 0 9 6 16 0.115285805525215
+1 0 0 0 0 9 7 16 0.287310844989877
+1 0 0 0 0 9 8 16 0.436059668496847
+1 0 0 0 0 9 9 16 0.549481531008906
+1 0 0 0 0 9 10 16 0.618387667771117
+1 0 0 0 0 9 11 16 0.637195713383579
+1 0 0 0 0 9 12 16 0.604381951846525
+1 0 0 0 0 9 13 16 0.522604758968734
+1 0 0 0 0 9 14 16 0.39848923656947
+1 0 0 0 0 9 15 16 0.24209048613009
+1 0 0 0 0 9 16 16 0.0660790042720084
+1 0 0 0 0 9 17 16 -0.115285805525221
+1 0 0 0 0 9 18 16 -0.287310844989883
+1 0 0 0 0 9 19 16 -0.436059668496852
+1 0 0 0 0 9 20 16 -0.54948153100891
+1 0 0 0 0 9 21 16 -0.618387667771118
+1 0 0 0 0 9 22 16 -0.637195713383579
+1 0 0 0 0 9 23 16 -0.604381951846523
+1 0 0 0 0 9 24 16 -0.522604758968737
+1 0 0 0 0 9 25 16 -0.398489236569475
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 -0.59648290094983
+2 0 0 0 0 9 1 16 -0.508360375451156
+2 0 0 0 0 9 2 16 -0.379053515669004
+2 0 0 0 0 9 3 16 -0.2190379943654
+2 0 0 0 0 9 4 16 -0.0412773174274224
+2 0 0 0 0 9 5 16 0.139827402282866
+2 0 0 0 0 9 6 16 0.309604137445777
+2 0 0 0 0 9 7 16 0.454298586679535
+2 0 0 0 0 9 8 16 0.562188466238243
+2 0 0 0 0 9 9 16 0.624533179725876
+2 0 0 0 0 9 10 16 0.636281929233952
+2 0 0 0 0 9 11 16 0.596482900949832
+2 0 0 0 0 9 12 16 0.508360375451159
+2 0 0 0 0 9 13 16 0.379053515668998
+2 0 0 0 0 9 14 16 0.219037994365394
+2 0 0 0 0 9 15 16 0.0412773174274162
+2 0 0 0 0 9 16 16 -0.139827402282872
+2 0 0 0 0 9 17 16 -0.309604137445783
+2 0 0 0 0 9 18 16 -0.454298586679539
+2 0 0 0 0 9 19 16 -0.562188466238246
+2 0 0 0 0 9 20 16 -0.624533179725877
+2 0 0 0 0 9 21 16 -0.636281929233952
+2 0 0 0 0 9 22 16 -0.59648290094983
+2 0 0 0 0 9 23 16 -0.508360375451156
+2 0 0 0 0 9 24 16 -0.379053515669004
+2 0 0 0 0 9 25 16 -0.2190379943654
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 -0.493113583217527
+3 0 0 0 0 9 1 16 -0.358814710696291
+3 0 0 0 0 9 2 16 -0.195446804267703
+3 0 0 0 0 9 3 16 -0.0162449601242363
+3 0 0 0 0 9 4 16 0.164272954075997
+3 0 0 0 0 9 5 16 0.331482450505869
+3 0 0 0 0 9 6 16 0.471837210197796
+3 0 0 0 0 9 7 16 0.573966525243434
+3 0 0 0 0 9 8 16 0.629596485924211
+3 0 0 0 0 9 9 16 0.634220283669883
+3 0 0 0 0 9 10 16 0.587463325885882
+3 0 0 0 0 9 11 16 0.493113583217531
+3 0 0 0 0 9 12 16 0.358814710696295
+3 0 0 0 0 9 13 16 0.195446804267697
+3 0 0 0 0 9 14 16 0.0162449601242305
+3 0 0 0 0 9 15 16 -0.164272954076003
+3 0 0 0 0 9 16 16 -0.331482450505874
+3 0 0 0 0 9 17 16 -0.4718372101978
+3 0 0 0 0 9 18 16 -0.573966525243437
+3 0 0 0 0 9 19 16 -0.629596485924212
+3 0 0 0 0 9 20 16 -0.634220283669883
+3 0 0 0 0 9 21 16 -0.587463325885879
+3 0 0 0 0 9 22 16 -0.493113583217527
+3 0 0 0 0 9 23 16 -0.358814710696291
+3 0 0 0 0 9 24 16 -0.195446804267703
+3 0 0 0 0 9 25 16 -0.0162449601242363
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 -0.337796446653127
+4 0 0 0 0 9 1 16 -0.17133496444037
+4 0 0 0 0 9 2 16 0.00900705762306818
+4 0 0 0 0 9 3 16 0.188619381444931
+4 0 0 0 0 9 4 16 0.352950884744777
+4 0 0 0 0 9 5 16 0.488688406442338
+4 0 0 0 0 9 6 16 0.5848352997918
+4 0 0 0 0 9 7 16 0.633602315301583
+4 0 0 0 0 9 8 16 0.631038639403692
+4 0 0 0 0 9 9 16 0.577351965872606
+4 0 0 0 0 9 10 16 0.476891669710873
+4 0 0 0 0 9 11 16 0.337796446653131
+4 0 0 0 0 9 12 16 0.171334964440373
+4 0 0 0 0 9 13 16 -0.00900705762307519
+4 0 0 0 0 9 14 16 -0.188619381444936
+4 0 0 0 0 9 15 16 -0.352950884744783
+4 0 0 0 0 9 16 16 -0.488688406442342
+4 0 0 0 0 9 17 16 -0.584835299791803
+4 0 0 0 0 9 18 16 -0.633602315301584
+4 0 0 0 0 9 19 16 -0.631038639403691
+4 0 0 0 0 9 20 16 -0.577351965872604
+4 0 0 0 0 9 21 16 -0.476891669710869
+4 0 0 0 0 9 22 16 -0.337796446653127
+4 0 0 0 0 9 23 16 -0.17133496444037
+4 0 0 0 0 9 24 16 0.00900705762306818
+4 0 0 0 0 9 25 16 0.188619381444931
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 -0.146732746204847
+5 0 0 0 0 9 1 16 0.0344575613432452
+5 0 0 0 0 9 2 16 0.212856322198309
+5 0 0 0 0 9 3 16 0.374010729734168
+5 0 0 0 0 9 4 16 0.504865012274416
+5 0 0 0 0 9 5 16 0.594818134068033
+5 0 0 0 0 9 6 16 0.63658262815911
+5 0 0 0 0 9 7 16 0.6267749836194
+5 0 0 0 0 9 8 16 0.566189757481202
+5 0 0 0 0 9 9 16 0.459735204452018
+5 0 0 0 0 9 10 16 0.31603563930867
+5 0 0 0 0 9 11 16 0.146732746204851
+5 0 0 0 0 9 12 16 -0.0344575613432431
+5 0 0 0 0 9 13 16 -0.212856322198315
+5 0 0 0 0 9 14 16 -0.374010729734171
+5 0 0 0 0 9 15 16 -0.50486501227442
+5 0 0 0 0 9 16 16 -0.594818134068035
+5 0 0 0 0 9 17 16 -0.63658262815911
+5 0 0 0 0 9 18 16 -0.626774983619399
+5 0 0 0 0 9 19 16 -0.566189757481199
+5 0 0 0 0 9 20 16 -0.459735204452014
+5 0 0 0 0 9 21 16 -0.316035639308665
+5 0 0 0 0 9 22 16 -0.146732746204847
+5 0 0 0 0 9 23 16 0.0344575613432452
+5 0 0 0 0 9 24 16 0.212856322198309
+5 0 0 0 0 9 25 16 0.374010729734168
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 0.0600734663797312
+6 0 0 0 0 9 1 16 0.236963639789833
+6 0 0 0 0 9 2 16 0.394656428381188
+6 0 0 0 0 9 3 16 0.520376500257262
+6 0 0 0 0 9 4 16 0.603938762880696
+6 0 0 0 0 9 5 16 0.638573498697662
+6 0 0 0 0 9 6 16 0.621474807392969
+6 0 0 0 0 9 7 16 0.554027923246292
+6 0 0 0 0 9 8 16 0.441696991689129
+6 0 0 0 0 9 9 16 0.293582396738469
+6 0 0 0 0 9 10 16 0.121683502005799
+6 0 0 0 0 9 11 16 -0.0600734663797284
+6 0 0 0 0 9 12 16 -0.236963639789832
+6 0 0 0 0 9 13 16 -0.394656428381192
+6 0 0 0 0 9 14 16 -0.520376500257262
+6 0 0 0 0 9 15 16 -0.603938762880698
+6 0 0 0 0 9 16 16 -0.638573498697662
+6 0 0 0 0 9 17 16 -0.621474807392968
+6 0 0 0 0 9 18 16 -0.554027923246289
+6 0 0 0 0 9 19 16 -0.441696991689125
+6 0 0 0 0 9 20 16 -0.293582396738463
+6 0 0 0 0 9 21 16 -0.121683502005794
+6 0 0 0 0 9 22 16 0.0600734663797312
+6 0 0 0 0 9 23 16 0.236963639789833
+6 0 0 0 0 9 24 16 0.394656428381188
+6 0 0 0 0 9 25 16 0.520376500257262
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.zl
new file mode 100644
index 000000000..fc23c9e27
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse/vz.zl
@@ -0,0 +1,275 @@
+# HYDROTOY::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 0.581878916566596
+0 0 0 0 0 9 12 1 0.636945771771587
+0 0 0 0 0 9 12 2 0.581878916566593
+0 0 0 0 0 9 12 3 0.42619991048323
+0 0 0 0 0 9 12 4 0.196827067972683
+0 0 0 0 0 9 12 5 -0.0665789627081168
+0 0 0 0 0 9 12 6 -0.318472885885796
+0 0 0 0 0 9 12 7 -0.515299953858482
+0 0 0 0 0 9 12 8 -0.62302697845592
+0 0 0 0 0 9 12 9 -0.62302697845592
+0 0 0 0 0 9 12 10 -0.515299953858479
+0 0 0 0 0 9 12 11 -0.318472885885792
+0 0 0 0 0 9 12 12 -0.0665789627081123
+0 0 0 0 0 9 12 13 0.196827067972688
+0 0 0 0 0 9 12 14 0.426199910483233
+0 0 0 0 0 9 12 15 0.581878916566594
+0 0 0 0 0 9 12 16 0.636945771771587
+0 0 0 0 0 9 12 17 0.581878916566594
+0 0 0 0 0 9 12 18 0.426199910483233
+0 0 0 0 0 9 12 19 0.196827067972688
+0 0 0 0 0 9 12 20 -0.0665789627081124
+0 0 0 0 0 9 12 21 -0.318472885885792
+0 0 0 0 0 9 12 22 -0.515299953858479
+0 0 0 0 0 9 12 23 -0.62302697845592
+0 0 0 0 0 9 12 24 -0.62302697845592
+0 0 0 0 0 9 12 25 -0.515299953858482
+0 0 0 0 0 9 12 26 -0.318472885885796
+0 0 0 0 0 9 12 27 -0.0665789627081168
+0 0 0 0 0 9 12 28 0.196827067972684
+0 0 0 0 0 9 12 29 0.42619991048323
+0 0 0 0 0 9 12 30 0.581878916566593
+0 0 0 0 0 9 12 31 0.636945771771587
+0 0 0 0 0 9 12 32 0.581878916566596
+0 0 0 0 0 9 12 33 0.426199910483237
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 0.634847735200847
+1 0 0 0 0 9 12 1 0.604381951846525
+1 0 0 0 0 9 12 2 0.469413038380274
+1 0 0 0 0 9 12 3 0.253278346094499
+1 0 0 0 0 9 12 4 -0.00665047319255438
+1 0 0 0 0 9 12 5 -0.265429365246962
+1 0 0 0 0 9 12 6 -0.478313108700088
+1 0 0 0 0 9 12 7 -0.608492170320792
+1 0 0 0 0 9 12 8 -0.633457407715207
+1 0 0 0 0 9 12 9 -0.548892104535778
+1 0 0 0 0 9 12 10 -0.369418369953887
+1 0 0 0 0 9 12 11 -0.126068843146438
+1 0 0 0 0 9 12 12 0.139079131940516
+1 0 0 0 0 9 12 13 0.380179061620706
+1 0 0 0 0 9 12 14 0.555542577728329
+1 0 0 0 0 9 12 15 0.634847735200848
+1 0 0 0 0 9 12 16 0.604381951846525
+1 0 0 0 0 9 12 17 0.469413038380277
+1 0 0 0 0 9 12 18 0.253278346094503
+1 0 0 0 0 9 12 19 -0.00665047319254942
+1 0 0 0 0 9 12 20 -0.265429365246958
+1 0 0 0 0 9 12 21 -0.478313108700085
+1 0 0 0 0 9 12 22 -0.608492170320791
+1 0 0 0 0 9 12 23 -0.633457407715208
+1 0 0 0 0 9 12 24 -0.54889210453578
+1 0 0 0 0 9 12 25 -0.369418369953891
+1 0 0 0 0 9 12 26 -0.126068843146442
+1 0 0 0 0 9 12 27 0.139079131940511
+1 0 0 0 0 9 12 28 0.380179061620702
+1 0 0 0 0 9 12 29 0.555542577728327
+1 0 0 0 0 9 12 30 0.634847735200847
+1 0 0 0 0 9 12 31 0.604381951846525
+1 0 0 0 0 9 12 32 0.469413038380274
+1 0 0 0 0 9 12 33 0.253278346094499
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 0.621361463077223
+2 0 0 0 0 9 12 1 0.508360375451158
+2 0 0 0 0 9 12 2 0.307459160600559
+2 0 0 0 0 9 12 3 0.0533954637033422
+2 0 0 0 0 9 12 4 -0.209900793950744
+2 0 0 0 0 9 12 5 -0.436903297441896
+2 0 0 0 0 9 12 6 -0.588361251663495
+2 0 0 0 0 9 12 7 -0.638086200378305
+2 0 0 0 0 9 12 8 -0.577480248216559
+2 0 0 0 0 9 12 9 -0.417022714894814
+2 0 0 0 0 9 12 10 -0.184458165635327
+2 0 0 0 0 9 12 11 0.0800008762123356
+2 0 0 0 0 9 12 12 0.330627039777741
+2 0 0 0 0 9 12 13 0.524084784513215
+2 0 0 0 0 9 12 14 0.626923508845556
+2 0 0 0 0 9 12 15 0.621361463077223
+2 0 0 0 0 9 12 16 0.508360375451159
+2 0 0 0 0 9 12 17 0.307459160600565
+2 0 0 0 0 9 12 18 0.0533954637033469
+2 0 0 0 0 9 12 19 -0.209900793950739
+2 0 0 0 0 9 12 20 -0.436903297441894
+2 0 0 0 0 9 12 21 -0.588361251663493
+2 0 0 0 0 9 12 22 -0.638086200378305
+2 0 0 0 0 9 12 23 -0.577480248216561
+2 0 0 0 0 9 12 24 -0.417022714894818
+2 0 0 0 0 9 12 25 -0.184458165635331
+2 0 0 0 0 9 12 26 0.0800008762123312
+2 0 0 0 0 9 12 27 0.330627039777737
+2 0 0 0 0 9 12 28 0.524084784513212
+2 0 0 0 0 9 12 29 0.626923508845555
+2 0 0 0 0 9 12 30 0.621361463077223
+2 0 0 0 0 9 12 31 0.508360375451158
+2 0 0 0 0 9 12 32 0.307459160600559
+2 0 0 0 0 9 12 33 0.0533954637033422
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 0.542663970499056
+3 0 0 0 0 9 12 1 0.358814710696292
+3 0 0 0 0 9 12 2 0.112923127684826
+3 0 0 0 0 9 12 3 -0.152493889977748
+3 0 0 0 0 9 12 4 -0.391543328699675
+3 0 0 0 0 9 12 5 -0.562891368829955
+3 0 0 0 0 9 12 6 -0.636910377581988
+3 0 0 0 0 9 12 7 -0.600801795900964
+3 0 0 0 0 9 12 8 -0.460809125595696
+3 0 0 0 0 9 12 9 -0.241138371155451
+3 0 0 0 0 9 12 10 0.0202273983309004
+3 0 0 0 0 9 12 11 0.278095666885694
+3 0 0 0 0 9 12 12 0.487878668216132
+3 0 0 0 0 9 12 13 0.613303015573443
+3 0 0 0 0 9 12 14 0.632681699855125
+3 0 0 0 0 9 12 15 0.542663970499055
+3 0 0 0 0 9 12 16 0.358814710696295
+3 0 0 0 0 9 12 17 0.112923127684834
+3 0 0 0 0 9 12 18 -0.152493889977744
+3 0 0 0 0 9 12 19 -0.391543328699671
+3 0 0 0 0 9 12 20 -0.562891368829953
+3 0 0 0 0 9 12 21 -0.636910377581988
+3 0 0 0 0 9 12 22 -0.600801795900965
+3 0 0 0 0 9 12 23 -0.4608091255957
+3 0 0 0 0 9 12 24 -0.241138371155455
+3 0 0 0 0 9 12 25 0.0202273983308957
+3 0 0 0 0 9 12 26 0.27809566688569
+3 0 0 0 0 9 12 27 0.487878668216129
+3 0 0 0 0 9 12 28 0.613303015573442
+3 0 0 0 0 9 12 29 0.632681699855125
+3 0 0 0 0 9 12 30 0.542663970499056
+3 0 0 0 0 9 12 31 0.358814710696292
+3 0 0 0 0 9 12 32 0.112923127684826
+3 0 0 0 0 9 12 33 -0.152493889977748
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 0.406861988467459
+4 0 0 0 0 9 12 1 0.171334964440367
+4 0 0 0 0 9 12 2 -0.0938174314677489
+4 0 0 0 0 9 12 3 -0.342747941170476
+4 0 0 0 0 9 12 4 -0.53241421807754
+4 0 0 0 0 9 12 5 -0.630021239847671
+4 0 0 0 0 9 12 6 -0.61869186568486
+4 0 0 0 0 9 12 7 -0.500385047305989
+4 0 0 0 0 9 12 8 -0.295557108392468
+4 0 0 0 0 9 12 9 -0.0396246603858534
+4 0 0 0 0 9 12 10 0.223159251380214
+4 0 0 0 0 9 12 11 0.447356901244488
+4 0 0 0 0 9 12 12 0.594202478773731
+4 0 0 0 0 9 12 13 0.638305049562943
+4 0 0 0 0 9 12 14 0.572038878463393
+4 0 0 0 0 9 12 15 0.406861988467459
+4 0 0 0 0 9 12 16 0.171334964440373
+4 0 0 0 0 9 12 17 -0.0938174314677396
+4 0 0 0 0 9 12 18 -0.342747941170472
+4 0 0 0 0 9 12 19 -0.532414218077537
+4 0 0 0 0 9 12 20 -0.630021239847671
+4 0 0 0 0 9 12 21 -0.618691865684861
+4 0 0 0 0 9 12 22 -0.500385047305991
+4 0 0 0 0 9 12 23 -0.295557108392472
+4 0 0 0 0 9 12 24 -0.0396246603858582
+4 0 0 0 0 9 12 25 0.223159251380209
+4 0 0 0 0 9 12 26 0.447356901244485
+4 0 0 0 0 9 12 27 0.594202478773729
+4 0 0 0 0 9 12 28 0.638305049562943
+4 0 0 0 0 9 12 29 0.572038878463394
+4 0 0 0 0 9 12 30 0.406861988467459
+4 0 0 0 0 9 12 31 0.171334964440367
+4 0 0 0 0 9 12 32 -0.0938174314677489
+4 0 0 0 0 9 12 33 -0.342747941170476
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 0.228090406054292
+5 0 0 0 0 9 12 1 -0.0344575613432509
+5 0 0 0 0 9 12 2 -0.291047503347424
+5 0 0 0 0 9 12 3 -0.49731268793926
+5 0 0 0 0 9 12 4 -0.61758799084247
+5 0 0 0 0 9 12 5 -0.631076719518254
+5 0 0 0 0 9 12 6 -0.535446550237322
+5 0 0 0 0 9 12 7 -0.347232808041159
+5 0 0 0 0 9 12 8 -0.0989793588236489
+5 0 0 0 0 9 12 9 0.166388520733715
+5 0 0 0 0 9 12 10 0.402986313463964
+5 0 0 0 0 9 12 11 0.569904111580567
+5 0 0 0 0 9 12 12 0.638280311388576
+5 0 0 0 0 9 12 13 0.596292046762908
+5 0 0 0 0 9 12 14 0.451199470108754
+5 0 0 0 0 9 12 15 0.228090406054293
+5 0 0 0 0 9 12 16 -0.0344575613432431
+5 0 0 0 0 9 12 17 -0.291047503347414
+5 0 0 0 0 9 12 18 -0.497312687939257
+5 0 0 0 0 9 12 19 -0.617587990842467
+5 0 0 0 0 9 12 20 -0.631076719518255
+5 0 0 0 0 9 12 21 -0.535446550237325
+5 0 0 0 0 9 12 22 -0.347232808041162
+5 0 0 0 0 9 12 23 -0.0989793588236535
+5 0 0 0 0 9 12 24 0.166388520733711
+5 0 0 0 0 9 12 25 0.40298631346396
+5 0 0 0 0 9 12 26 0.569904111580566
+5 0 0 0 0 9 12 27 0.638280311388575
+5 0 0 0 0 9 12 28 0.59629204676291
+5 0 0 0 0 9 12 29 0.451199470108755
+5 0 0 0 0 9 12 30 0.228090406054292
+5 0 0 0 0 9 12 31 -0.0344575613432509
+5 0 0 0 0 9 12 32 -0.291047503347424
+5 0 0 0 0 9 12 33 -0.49731268793926
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 0.0250412688508779
+6 0 0 0 0 9 12 1 -0.236963639789841
+6 0 0 0 0 9 12 2 -0.457995382363806
+6 0 0 0 0 9 12 3 -0.599835562569635
+6 0 0 0 0 9 12 4 -0.637958724672171
+6 0 0 0 0 9 12 5 -0.565773027605818
+6 0 0 0 0 9 12 6 -0.395760034179826
+6 0 0 0 0 9 12 7 -0.157316535477102
+6 0 0 0 0 9 12 8 0.10832842138547
+6 0 0 0 0 9 12 9 0.355242410057682
+6 0 0 0 0 9 12 10 0.540731758754941
+6 0 0 0 0 9 12 11 0.63272367396966
+6 0 0 0 0 9 12 12 0.615311917840902
+6 0 0 0 0 9 12 13 0.491507141184166
+6 0 0 0 0 9 12 14 0.282716314614489
+6 0 0 0 0 9 12 15 0.0250412688508801
+6 0 0 0 0 9 12 16 -0.236963639789832
+6 0 0 0 0 9 12 17 -0.457995382363797
+6 0 0 0 0 9 12 18 -0.599835562569634
+6 0 0 0 0 9 12 19 -0.637958724672169
+6 0 0 0 0 9 12 20 -0.565773027605821
+6 0 0 0 0 9 12 21 -0.39576003417983
+6 0 0 0 0 9 12 22 -0.157316535477107
+6 0 0 0 0 9 12 23 0.108328421385465
+6 0 0 0 0 9 12 24 0.355242410057678
+6 0 0 0 0 9 12 25 0.540731758754939
+6 0 0 0 0 9 12 26 0.63272367396966
+6 0 0 0 0 9 12 27 0.615311917840903
+6 0 0 0 0 9 12 28 0.491507141184168
+6 0 0 0 0 9 12 29 0.282716314614489
+6 0 0 0 0 9 12 30 0.0250412688508779
+6 0 0 0 0 9 12 31 -0.236963639789841
+6 0 0 0 0 9 12 32 -0.457995382363806
+6 0 0 0 0 9 12 33 -0.599835562569635
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2.log b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2.log
new file mode 100644
index 000000000..ca99abdda
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2.log
@@ -0,0 +1,139 @@
+--------------------------------------------------------------------------------
+
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+
+Cactus version: 4.0.b11
+Compile date: Nov 30 2001 (15:23:02)
+Run date: Dec 3 2001 (11:14:26)
+Run host: lilypond.tat.physik.uni-tuebingen.de
+Parameter file: /home/eschnett/Calpha/Cactus/arrangements/Carpet/HydroToy/test/hydrotoy_periodic_coarse_rl2.par
+--------------------------------------------------------------------------------
+
+Activating thorn Cactus...Success -> active implementation Cactus
+Activation requested for
+--->Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetSlab IDHydroToy HydroToy<---
+Activating thorn Boundary...Success -> active implementation boundary
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetIOFlexIO...Success -> active implementation IOFlexIO
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn HydroToy...Success -> active implementation hydrotoy
+Activating thorn IDHydroToy...Success -> active implementation idhydrotoy
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Time...Success -> active implementation time
+--------------------------------------------------------------------------------
+ if (recover)
+ Recover parameters
+ endif
+
+ Startup routines
+ Carpet: Startup routine
+ IOUtil: Startup routine
+ CarpetIOFlexIO: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ HydroToy: Register banner
+ IDHydroToy: Register banner
+ IOBasic: Startup routine
+ CarpetIOASCII: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ HydroToy: Schedule symmetries
+ Time: Initialise Time variables
+ Time: Set timestep based on Courant condition
+ CarpetIOFlexIO: Read initial data from file
+ IDHydroToy: Initial data for 3D wave equation
+ if (recover)
+ endif
+ if (checkpoint initial data)
+ endif
+ if (analysis)
+ endif
+
+ do loop over timesteps
+ Rotate timelevels
+ iteration = iteration + 1
+ t = t+dt
+ HydroToy: Euler predictor step
+ HydroToy: Euler corrector step
+ if (checkpoint)
+ endif
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 3D FlexIO I/O provided by CarpetIOFlexIO
+--------------------------------------------------------------------------------
+HydroToy: Evolutions of a Scalar and a Vector Field
+--------------------------------------------------------------------------------
+IDHydroToy: Initial data for a Scalar and a Vector Field
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+INFO (Carpet): Carpet is running on 1 processors
+INFO (IOBasic): I/O Method 'Scalar' registered
+INFO (IOBasic): Scalar: Output of scalar quantities (grid scalars, reductions) to ASCII files
+INFO (IOBasic): I/O Method 'Info' registered
+INFO (IOBasic): Info: Output of scalar quantities (grid scalars, reductions) to screen
+INFO (Cart3d): Cartesian coordinates:
+INFO (Cart3d): Whole grid: lower bound [-5.4, -7.2, -9.6]
+INFO (Cart3d): Whole grid: upper bound [5.4, 7.8, 10.2]
+INFO (Cart3d): Whole grid: extent [11.4, 15.6, 20.4]
+INFO (Cart3d): Interior: lower bound [-4.2, -6, -8.4]
+INFO (Cart3d): Interior: upper bound [4.2, 6.6, 9]
+INFO (Cart3d): Interior: extent [9, 13.2, 18]
+INFO (Cart3d): Grid spacing: [0.6, 0.6, 0.6]
+INFO (IOBasic): Scalar: Output every -1 iterations
+INFO (IOBasic): Info: Output every 1 iterations
+------------------
+ it | |
+ | t |
+------------------
+ 0 | 0.000 |
+ 0 | 0.000 |
+ 1 | 0.150 |
+ 2 | 0.300 |
+ 2 | 0.300 |
+ 3 | 0.450 |
+ 4 | 0.600 |
+ 4 | 0.600 |
+ 5 | 0.750 |
+ 6 | 0.900 |
+ 6 | 0.900 |
+ 7 | 1.050 |
+ 8 | 1.200 |
+ 8 | 1.200 |
+ 9 | 1.350 |
+ 10 | 1.500 |
+ 10 | 1.500 |
+ 11 | 1.650 |
+ 12 | 1.800 |
+ 12 | 1.800 |
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2.par b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2.par
new file mode 100644
index 000000000..e7626fe9e
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2.par
@@ -0,0 +1,52 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2.par,v 1.4 2004/03/23 12:00:04 schnetter Exp $
+
+!DESC "HydroToy with periodic boundaries, 1 refinement level"
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 12
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 2
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "hydrotoy_periodic_coarse_rl2"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "hydrotoy::hydroevolve grid::coordinates"
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.xl
new file mode 100644
index 000000000..11061d80c
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.xl
@@ -0,0 +1,482 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -2.7
+0 0 1 0 0 10 24 32 -2.4
+0 0 1 0 0 11 24 32 -2.1
+0 0 1 0 0 12 24 32 -1.8
+0 0 1 0 0 13 24 32 -1.5
+0 0 1 0 0 14 24 32 -1.2
+0 0 1 0 0 15 24 32 -0.9
+0 0 1 0 0 16 24 32 -0.6
+0 0 1 0 0 17 24 32 -0.3
+0 0 1 0 0 18 24 32 4.44089209850063e-16
+0 0 1 0 0 19 24 32 0.3
+0 0 1 0 0 20 24 32 0.600000000000001
+0 0 1 0 0 21 24 32 0.900000000000001
+0 0 1 0 0 22 24 32 1.2
+0 0 1 0 0 23 24 32 1.5
+0 0 1 0 0 24 24 32 1.8
+0 0 1 0 0 25 24 32 2.1
+0 0 1 0 0 26 24 32 2.4
+0 0 1 0 0 27 24 32 2.7
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -5.4
+0 0 0 0 0 2 24 32 -4.8
+0 0 0 0 0 4 24 32 -4.2
+0 0 0 0 0 6 24 32 -3.6
+0 0 0 0 0 8 24 32 -3
+0 0 0 0 0 10 24 32 -2.4
+0 0 0 0 0 12 24 32 -1.8
+0 0 0 0 0 14 24 32 -1.2
+0 0 0 0 0 16 24 32 -0.6
+0 0 0 0 0 18 24 32 4.44089209850063e-16
+0 0 0 0 0 20 24 32 0.600000000000001
+0 0 0 0 0 22 24 32 1.2
+0 0 0 0 0 24 24 32 1.8
+0 0 0 0 0 26 24 32 2.4
+0 0 0 0 0 28 24 32 3
+0 0 0 0 0 30 24 32 3.6
+0 0 0 0 0 32 24 32 4.2
+0 0 0 0 0 34 24 32 4.8
+0 0 0 0 0 36 24 32 5.4
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -2.7
+1 0 1 0 0 10 24 32 -2.4
+1 0 1 0 0 11 24 32 -2.1
+1 0 1 0 0 12 24 32 -1.8
+1 0 1 0 0 13 24 32 -1.5
+1 0 1 0 0 14 24 32 -1.2
+1 0 1 0 0 15 24 32 -0.9
+1 0 1 0 0 16 24 32 -0.6
+1 0 1 0 0 17 24 32 -0.3
+1 0 1 0 0 18 24 32 4.44089209850063e-16
+1 0 1 0 0 19 24 32 0.3
+1 0 1 0 0 20 24 32 0.600000000000001
+1 0 1 0 0 21 24 32 0.900000000000001
+1 0 1 0 0 22 24 32 1.2
+1 0 1 0 0 23 24 32 1.5
+1 0 1 0 0 24 24 32 1.8
+1 0 1 0 0 25 24 32 2.1
+1 0 1 0 0 26 24 32 2.4
+1 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 -2.7
+2 0 1 0 0 10 24 32 -2.4
+2 0 1 0 0 11 24 32 -2.1
+2 0 1 0 0 12 24 32 -1.8
+2 0 1 0 0 13 24 32 -1.5
+2 0 1 0 0 14 24 32 -1.2
+2 0 1 0 0 15 24 32 -0.9
+2 0 1 0 0 16 24 32 -0.6
+2 0 1 0 0 17 24 32 -0.3
+2 0 1 0 0 18 24 32 4.44089209850063e-16
+2 0 1 0 0 19 24 32 0.3
+2 0 1 0 0 20 24 32 0.600000000000001
+2 0 1 0 0 21 24 32 0.900000000000001
+2 0 1 0 0 22 24 32 1.2
+2 0 1 0 0 23 24 32 1.5
+2 0 1 0 0 24 24 32 1.8
+2 0 1 0 0 25 24 32 2.1
+2 0 1 0 0 26 24 32 2.4
+2 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -5.4
+2 0 0 0 0 2 24 32 -4.8
+2 0 0 0 0 4 24 32 -4.2
+2 0 0 0 0 6 24 32 -3.6
+2 0 0 0 0 8 24 32 -3
+2 0 0 0 0 10 24 32 -2.4
+2 0 0 0 0 12 24 32 -1.8
+2 0 0 0 0 14 24 32 -1.2
+2 0 0 0 0 16 24 32 -0.6
+2 0 0 0 0 18 24 32 4.44089209850063e-16
+2 0 0 0 0 20 24 32 0.600000000000001
+2 0 0 0 0 22 24 32 1.2
+2 0 0 0 0 24 24 32 1.8
+2 0 0 0 0 26 24 32 2.4
+2 0 0 0 0 28 24 32 3
+2 0 0 0 0 30 24 32 3.6
+2 0 0 0 0 32 24 32 4.2
+2 0 0 0 0 34 24 32 4.8
+2 0 0 0 0 36 24 32 5.4
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 -2.7
+3 0 1 0 0 10 24 32 -2.4
+3 0 1 0 0 11 24 32 -2.1
+3 0 1 0 0 12 24 32 -1.8
+3 0 1 0 0 13 24 32 -1.5
+3 0 1 0 0 14 24 32 -1.2
+3 0 1 0 0 15 24 32 -0.9
+3 0 1 0 0 16 24 32 -0.6
+3 0 1 0 0 17 24 32 -0.3
+3 0 1 0 0 18 24 32 4.44089209850063e-16
+3 0 1 0 0 19 24 32 0.3
+3 0 1 0 0 20 24 32 0.600000000000001
+3 0 1 0 0 21 24 32 0.900000000000001
+3 0 1 0 0 22 24 32 1.2
+3 0 1 0 0 23 24 32 1.5
+3 0 1 0 0 24 24 32 1.8
+3 0 1 0 0 25 24 32 2.1
+3 0 1 0 0 26 24 32 2.4
+3 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 -2.7
+4 0 1 0 0 10 24 32 -2.4
+4 0 1 0 0 11 24 32 -2.1
+4 0 1 0 0 12 24 32 -1.8
+4 0 1 0 0 13 24 32 -1.5
+4 0 1 0 0 14 24 32 -1.2
+4 0 1 0 0 15 24 32 -0.9
+4 0 1 0 0 16 24 32 -0.6
+4 0 1 0 0 17 24 32 -0.3
+4 0 1 0 0 18 24 32 4.44089209850063e-16
+4 0 1 0 0 19 24 32 0.3
+4 0 1 0 0 20 24 32 0.600000000000001
+4 0 1 0 0 21 24 32 0.900000000000001
+4 0 1 0 0 22 24 32 1.2
+4 0 1 0 0 23 24 32 1.5
+4 0 1 0 0 24 24 32 1.8
+4 0 1 0 0 25 24 32 2.1
+4 0 1 0 0 26 24 32 2.4
+4 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -5.4
+4 0 0 0 0 2 24 32 -4.8
+4 0 0 0 0 4 24 32 -4.2
+4 0 0 0 0 6 24 32 -3.6
+4 0 0 0 0 8 24 32 -3
+4 0 0 0 0 10 24 32 -2.4
+4 0 0 0 0 12 24 32 -1.8
+4 0 0 0 0 14 24 32 -1.2
+4 0 0 0 0 16 24 32 -0.6
+4 0 0 0 0 18 24 32 4.44089209850063e-16
+4 0 0 0 0 20 24 32 0.600000000000001
+4 0 0 0 0 22 24 32 1.2
+4 0 0 0 0 24 24 32 1.8
+4 0 0 0 0 26 24 32 2.4
+4 0 0 0 0 28 24 32 3
+4 0 0 0 0 30 24 32 3.6
+4 0 0 0 0 32 24 32 4.2
+4 0 0 0 0 34 24 32 4.8
+4 0 0 0 0 36 24 32 5.4
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 -2.7
+5 0 1 0 0 10 24 32 -2.4
+5 0 1 0 0 11 24 32 -2.1
+5 0 1 0 0 12 24 32 -1.8
+5 0 1 0 0 13 24 32 -1.5
+5 0 1 0 0 14 24 32 -1.2
+5 0 1 0 0 15 24 32 -0.9
+5 0 1 0 0 16 24 32 -0.6
+5 0 1 0 0 17 24 32 -0.3
+5 0 1 0 0 18 24 32 4.44089209850063e-16
+5 0 1 0 0 19 24 32 0.3
+5 0 1 0 0 20 24 32 0.600000000000001
+5 0 1 0 0 21 24 32 0.900000000000001
+5 0 1 0 0 22 24 32 1.2
+5 0 1 0 0 23 24 32 1.5
+5 0 1 0 0 24 24 32 1.8
+5 0 1 0 0 25 24 32 2.1
+5 0 1 0 0 26 24 32 2.4
+5 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 -2.7
+6 0 1 0 0 10 24 32 -2.4
+6 0 1 0 0 11 24 32 -2.1
+6 0 1 0 0 12 24 32 -1.8
+6 0 1 0 0 13 24 32 -1.5
+6 0 1 0 0 14 24 32 -1.2
+6 0 1 0 0 15 24 32 -0.9
+6 0 1 0 0 16 24 32 -0.6
+6 0 1 0 0 17 24 32 -0.3
+6 0 1 0 0 18 24 32 4.44089209850063e-16
+6 0 1 0 0 19 24 32 0.3
+6 0 1 0 0 20 24 32 0.600000000000001
+6 0 1 0 0 21 24 32 0.900000000000001
+6 0 1 0 0 22 24 32 1.2
+6 0 1 0 0 23 24 32 1.5
+6 0 1 0 0 24 24 32 1.8
+6 0 1 0 0 25 24 32 2.1
+6 0 1 0 0 26 24 32 2.4
+6 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -5.4
+6 0 0 0 0 2 24 32 -4.8
+6 0 0 0 0 4 24 32 -4.2
+6 0 0 0 0 6 24 32 -3.6
+6 0 0 0 0 8 24 32 -3
+6 0 0 0 0 10 24 32 -2.4
+6 0 0 0 0 12 24 32 -1.8
+6 0 0 0 0 14 24 32 -1.2
+6 0 0 0 0 16 24 32 -0.6
+6 0 0 0 0 18 24 32 4.44089209850063e-16
+6 0 0 0 0 20 24 32 0.600000000000001
+6 0 0 0 0 22 24 32 1.2
+6 0 0 0 0 24 24 32 1.8
+6 0 0 0 0 26 24 32 2.4
+6 0 0 0 0 28 24 32 3
+6 0 0 0 0 30 24 32 3.6
+6 0 0 0 0 32 24 32 4.2
+6 0 0 0 0 34 24 32 4.8
+6 0 0 0 0 36 24 32 5.4
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 -2.7
+7 0 1 0 0 10 24 32 -2.4
+7 0 1 0 0 11 24 32 -2.1
+7 0 1 0 0 12 24 32 -1.8
+7 0 1 0 0 13 24 32 -1.5
+7 0 1 0 0 14 24 32 -1.2
+7 0 1 0 0 15 24 32 -0.9
+7 0 1 0 0 16 24 32 -0.6
+7 0 1 0 0 17 24 32 -0.3
+7 0 1 0 0 18 24 32 4.44089209850063e-16
+7 0 1 0 0 19 24 32 0.3
+7 0 1 0 0 20 24 32 0.600000000000001
+7 0 1 0 0 21 24 32 0.900000000000001
+7 0 1 0 0 22 24 32 1.2
+7 0 1 0 0 23 24 32 1.5
+7 0 1 0 0 24 24 32 1.8
+7 0 1 0 0 25 24 32 2.1
+7 0 1 0 0 26 24 32 2.4
+7 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 -2.7
+8 0 1 0 0 10 24 32 -2.4
+8 0 1 0 0 11 24 32 -2.1
+8 0 1 0 0 12 24 32 -1.8
+8 0 1 0 0 13 24 32 -1.5
+8 0 1 0 0 14 24 32 -1.2
+8 0 1 0 0 15 24 32 -0.9
+8 0 1 0 0 16 24 32 -0.6
+8 0 1 0 0 17 24 32 -0.3
+8 0 1 0 0 18 24 32 4.44089209850063e-16
+8 0 1 0 0 19 24 32 0.3
+8 0 1 0 0 20 24 32 0.600000000000001
+8 0 1 0 0 21 24 32 0.900000000000001
+8 0 1 0 0 22 24 32 1.2
+8 0 1 0 0 23 24 32 1.5
+8 0 1 0 0 24 24 32 1.8
+8 0 1 0 0 25 24 32 2.1
+8 0 1 0 0 26 24 32 2.4
+8 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -5.4
+8 0 0 0 0 2 24 32 -4.8
+8 0 0 0 0 4 24 32 -4.2
+8 0 0 0 0 6 24 32 -3.6
+8 0 0 0 0 8 24 32 -3
+8 0 0 0 0 10 24 32 -2.4
+8 0 0 0 0 12 24 32 -1.8
+8 0 0 0 0 14 24 32 -1.2
+8 0 0 0 0 16 24 32 -0.6
+8 0 0 0 0 18 24 32 4.44089209850063e-16
+8 0 0 0 0 20 24 32 0.600000000000001
+8 0 0 0 0 22 24 32 1.2
+8 0 0 0 0 24 24 32 1.8
+8 0 0 0 0 26 24 32 2.4
+8 0 0 0 0 28 24 32 3
+8 0 0 0 0 30 24 32 3.6
+8 0 0 0 0 32 24 32 4.2
+8 0 0 0 0 34 24 32 4.8
+8 0 0 0 0 36 24 32 5.4
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 -2.7
+9 0 1 0 0 10 24 32 -2.4
+9 0 1 0 0 11 24 32 -2.1
+9 0 1 0 0 12 24 32 -1.8
+9 0 1 0 0 13 24 32 -1.5
+9 0 1 0 0 14 24 32 -1.2
+9 0 1 0 0 15 24 32 -0.9
+9 0 1 0 0 16 24 32 -0.6
+9 0 1 0 0 17 24 32 -0.3
+9 0 1 0 0 18 24 32 4.44089209850063e-16
+9 0 1 0 0 19 24 32 0.3
+9 0 1 0 0 20 24 32 0.600000000000001
+9 0 1 0 0 21 24 32 0.900000000000001
+9 0 1 0 0 22 24 32 1.2
+9 0 1 0 0 23 24 32 1.5
+9 0 1 0 0 24 24 32 1.8
+9 0 1 0 0 25 24 32 2.1
+9 0 1 0 0 26 24 32 2.4
+9 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 -2.7
+10 0 1 0 0 10 24 32 -2.4
+10 0 1 0 0 11 24 32 -2.1
+10 0 1 0 0 12 24 32 -1.8
+10 0 1 0 0 13 24 32 -1.5
+10 0 1 0 0 14 24 32 -1.2
+10 0 1 0 0 15 24 32 -0.9
+10 0 1 0 0 16 24 32 -0.6
+10 0 1 0 0 17 24 32 -0.3
+10 0 1 0 0 18 24 32 4.44089209850063e-16
+10 0 1 0 0 19 24 32 0.3
+10 0 1 0 0 20 24 32 0.600000000000001
+10 0 1 0 0 21 24 32 0.900000000000001
+10 0 1 0 0 22 24 32 1.2
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+10 0 1 0 0 24 24 32 1.8
+10 0 1 0 0 25 24 32 2.1
+10 0 1 0 0 26 24 32 2.4
+10 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -5.4
+10 0 0 0 0 2 24 32 -4.8
+10 0 0 0 0 4 24 32 -4.2
+10 0 0 0 0 6 24 32 -3.6
+10 0 0 0 0 8 24 32 -3
+10 0 0 0 0 10 24 32 -2.4
+10 0 0 0 0 12 24 32 -1.8
+10 0 0 0 0 14 24 32 -1.2
+10 0 0 0 0 16 24 32 -0.6
+10 0 0 0 0 18 24 32 4.44089209850063e-16
+10 0 0 0 0 20 24 32 0.600000000000001
+10 0 0 0 0 22 24 32 1.2
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+10 0 0 0 0 26 24 32 2.4
+10 0 0 0 0 28 24 32 3
+10 0 0 0 0 30 24 32 3.6
+10 0 0 0 0 32 24 32 4.2
+10 0 0 0 0 34 24 32 4.8
+10 0 0 0 0 36 24 32 5.4
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 -2.7
+11 0 1 0 0 10 24 32 -2.4
+11 0 1 0 0 11 24 32 -2.1
+11 0 1 0 0 12 24 32 -1.8
+11 0 1 0 0 13 24 32 -1.5
+11 0 1 0 0 14 24 32 -1.2
+11 0 1 0 0 15 24 32 -0.9
+11 0 1 0 0 16 24 32 -0.6
+11 0 1 0 0 17 24 32 -0.3
+11 0 1 0 0 18 24 32 4.44089209850063e-16
+11 0 1 0 0 19 24 32 0.3
+11 0 1 0 0 20 24 32 0.600000000000001
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+11 0 1 0 0 22 24 32 1.2
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+11 0 1 0 0 24 24 32 1.8
+11 0 1 0 0 25 24 32 2.1
+11 0 1 0 0 26 24 32 2.4
+11 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 -2.7
+12 0 1 0 0 10 24 32 -2.4
+12 0 1 0 0 11 24 32 -2.1
+12 0 1 0 0 12 24 32 -1.8
+12 0 1 0 0 13 24 32 -1.5
+12 0 1 0 0 14 24 32 -1.2
+12 0 1 0 0 15 24 32 -0.9
+12 0 1 0 0 16 24 32 -0.6
+12 0 1 0 0 17 24 32 -0.3
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+12 0 1 0 0 19 24 32 0.3
+12 0 1 0 0 20 24 32 0.600000000000001
+12 0 1 0 0 21 24 32 0.900000000000001
+12 0 1 0 0 22 24 32 1.2
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+12 0 1 0 0 24 24 32 1.8
+12 0 1 0 0 25 24 32 2.1
+12 0 1 0 0 26 24 32 2.4
+12 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -5.4
+12 0 0 0 0 2 24 32 -4.8
+12 0 0 0 0 4 24 32 -4.2
+12 0 0 0 0 6 24 32 -3.6
+12 0 0 0 0 8 24 32 -3
+12 0 0 0 0 10 24 32 -2.4
+12 0 0 0 0 12 24 32 -1.8
+12 0 0 0 0 14 24 32 -1.2
+12 0 0 0 0 16 24 32 -0.6
+12 0 0 0 0 18 24 32 4.44089209850063e-16
+12 0 0 0 0 20 24 32 0.600000000000001
+12 0 0 0 0 22 24 32 1.2
+12 0 0 0 0 24 24 32 1.8
+12 0 0 0 0 26 24 32 2.4
+12 0 0 0 0 28 24 32 3
+12 0 0 0 0 30 24 32 3.6
+12 0 0 0 0 32 24 32 4.2
+12 0 0 0 0 34 24 32 4.8
+12 0 0 0 0 36 24 32 5.4
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.yl
new file mode 100644
index 000000000..44fc64068
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.yl
@@ -0,0 +1,622 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 4.44089209850063e-16
+0 0 1 0 0 18 14 32 4.44089209850063e-16
+0 0 1 0 0 18 15 32 4.44089209850063e-16
+0 0 1 0 0 18 16 32 4.44089209850063e-16
+0 0 1 0 0 18 17 32 4.44089209850063e-16
+0 0 1 0 0 18 18 32 4.44089209850063e-16
+0 0 1 0 0 18 19 32 4.44089209850063e-16
+0 0 1 0 0 18 20 32 4.44089209850063e-16
+0 0 1 0 0 18 21 32 4.44089209850063e-16
+0 0 1 0 0 18 22 32 4.44089209850063e-16
+0 0 1 0 0 18 23 32 4.44089209850063e-16
+0 0 1 0 0 18 24 32 4.44089209850063e-16
+0 0 1 0 0 18 25 32 4.44089209850063e-16
+0 0 1 0 0 18 26 32 4.44089209850063e-16
+0 0 1 0 0 18 27 32 4.44089209850063e-16
+0 0 1 0 0 18 28 32 4.44089209850063e-16
+0 0 1 0 0 18 29 32 4.44089209850063e-16
+0 0 1 0 0 18 30 32 4.44089209850063e-16
+0 0 1 0 0 18 31 32 4.44089209850063e-16
+0 0 1 0 0 18 32 32 4.44089209850063e-16
+0 0 1 0 0 18 33 32 4.44089209850063e-16
+0 0 1 0 0 18 34 32 4.44089209850063e-16
+0 0 1 0 0 18 35 32 4.44089209850063e-16
+0 0 1 0 0 18 36 32 4.44089209850063e-16
+0 0 1 0 0 18 37 32 4.44089209850063e-16
+0 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 4.44089209850063e-16
+0 0 0 0 0 18 2 32 4.44089209850063e-16
+0 0 0 0 0 18 4 32 4.44089209850063e-16
+0 0 0 0 0 18 6 32 4.44089209850063e-16
+0 0 0 0 0 18 8 32 4.44089209850063e-16
+0 0 0 0 0 18 10 32 4.44089209850063e-16
+0 0 0 0 0 18 12 32 4.44089209850063e-16
+0 0 0 0 0 18 14 32 4.44089209850063e-16
+0 0 0 0 0 18 16 32 4.44089209850063e-16
+0 0 0 0 0 18 18 32 4.44089209850063e-16
+0 0 0 0 0 18 20 32 4.44089209850063e-16
+0 0 0 0 0 18 22 32 4.44089209850063e-16
+0 0 0 0 0 18 24 32 4.44089209850063e-16
+0 0 0 0 0 18 26 32 4.44089209850063e-16
+0 0 0 0 0 18 28 32 4.44089209850063e-16
+0 0 0 0 0 18 30 32 4.44089209850063e-16
+0 0 0 0 0 18 32 32 4.44089209850063e-16
+0 0 0 0 0 18 34 32 4.44089209850063e-16
+0 0 0 0 0 18 36 32 4.44089209850063e-16
+0 0 0 0 0 18 38 32 4.44089209850063e-16
+0 0 0 0 0 18 40 32 4.44089209850063e-16
+0 0 0 0 0 18 42 32 4.44089209850063e-16
+0 0 0 0 0 18 44 32 4.44089209850063e-16
+0 0 0 0 0 18 46 32 4.44089209850063e-16
+0 0 0 0 0 18 48 32 4.44089209850063e-16
+0 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 4.44089209850063e-16
+1 0 1 0 0 18 14 32 4.44089209850063e-16
+1 0 1 0 0 18 15 32 4.44089209850063e-16
+1 0 1 0 0 18 16 32 4.44089209850063e-16
+1 0 1 0 0 18 17 32 4.44089209850063e-16
+1 0 1 0 0 18 18 32 4.44089209850063e-16
+1 0 1 0 0 18 19 32 4.44089209850063e-16
+1 0 1 0 0 18 20 32 4.44089209850063e-16
+1 0 1 0 0 18 21 32 4.44089209850063e-16
+1 0 1 0 0 18 22 32 4.44089209850063e-16
+1 0 1 0 0 18 23 32 4.44089209850063e-16
+1 0 1 0 0 18 24 32 4.44089209850063e-16
+1 0 1 0 0 18 25 32 4.44089209850063e-16
+1 0 1 0 0 18 26 32 4.44089209850063e-16
+1 0 1 0 0 18 27 32 4.44089209850063e-16
+1 0 1 0 0 18 28 32 4.44089209850063e-16
+1 0 1 0 0 18 29 32 4.44089209850063e-16
+1 0 1 0 0 18 30 32 4.44089209850063e-16
+1 0 1 0 0 18 31 32 4.44089209850063e-16
+1 0 1 0 0 18 32 32 4.44089209850063e-16
+1 0 1 0 0 18 33 32 4.44089209850063e-16
+1 0 1 0 0 18 34 32 4.44089209850063e-16
+1 0 1 0 0 18 35 32 4.44089209850063e-16
+1 0 1 0 0 18 36 32 4.44089209850063e-16
+1 0 1 0 0 18 37 32 4.44089209850063e-16
+1 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 4.44089209850063e-16
+2 0 1 0 0 18 14 32 4.44089209850063e-16
+2 0 1 0 0 18 15 32 4.44089209850063e-16
+2 0 1 0 0 18 16 32 4.44089209850063e-16
+2 0 1 0 0 18 17 32 4.44089209850063e-16
+2 0 1 0 0 18 18 32 4.44089209850063e-16
+2 0 1 0 0 18 19 32 4.44089209850063e-16
+2 0 1 0 0 18 20 32 4.44089209850063e-16
+2 0 1 0 0 18 21 32 4.44089209850063e-16
+2 0 1 0 0 18 22 32 4.44089209850063e-16
+2 0 1 0 0 18 23 32 4.44089209850063e-16
+2 0 1 0 0 18 24 32 4.44089209850063e-16
+2 0 1 0 0 18 25 32 4.44089209850063e-16
+2 0 1 0 0 18 26 32 4.44089209850063e-16
+2 0 1 0 0 18 27 32 4.44089209850063e-16
+2 0 1 0 0 18 28 32 4.44089209850063e-16
+2 0 1 0 0 18 29 32 4.44089209850063e-16
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+2 0 1 0 0 18 31 32 4.44089209850063e-16
+2 0 1 0 0 18 32 32 4.44089209850063e-16
+2 0 1 0 0 18 33 32 4.44089209850063e-16
+2 0 1 0 0 18 34 32 4.44089209850063e-16
+2 0 1 0 0 18 35 32 4.44089209850063e-16
+2 0 1 0 0 18 36 32 4.44089209850063e-16
+2 0 1 0 0 18 37 32 4.44089209850063e-16
+2 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 4.44089209850063e-16
+2 0 0 0 0 18 2 32 4.44089209850063e-16
+2 0 0 0 0 18 4 32 4.44089209850063e-16
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+2 0 0 0 0 18 48 32 4.44089209850063e-16
+2 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 4.44089209850063e-16
+3 0 1 0 0 18 14 32 4.44089209850063e-16
+3 0 1 0 0 18 15 32 4.44089209850063e-16
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+3 0 1 0 0 18 27 32 4.44089209850063e-16
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+3 0 1 0 0 18 37 32 4.44089209850063e-16
+3 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 4.44089209850063e-16
+4 0 1 0 0 18 14 32 4.44089209850063e-16
+4 0 1 0 0 18 15 32 4.44089209850063e-16
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+4 0 1 0 0 18 37 32 4.44089209850063e-16
+4 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 4.44089209850063e-16
+4 0 0 0 0 18 2 32 4.44089209850063e-16
+4 0 0 0 0 18 4 32 4.44089209850063e-16
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+4 0 0 0 0 18 48 32 4.44089209850063e-16
+4 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 4.44089209850063e-16
+5 0 1 0 0 18 14 32 4.44089209850063e-16
+5 0 1 0 0 18 15 32 4.44089209850063e-16
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+5 0 1 0 0 18 37 32 4.44089209850063e-16
+5 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 4.44089209850063e-16
+6 0 1 0 0 18 14 32 4.44089209850063e-16
+6 0 1 0 0 18 15 32 4.44089209850063e-16
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+6 0 1 0 0 18 37 32 4.44089209850063e-16
+6 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 4.44089209850063e-16
+6 0 0 0 0 18 2 32 4.44089209850063e-16
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+6 0 0 0 0 18 48 32 4.44089209850063e-16
+6 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 4.44089209850063e-16
+7 0 1 0 0 18 14 32 4.44089209850063e-16
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+7 0 1 0 0 18 37 32 4.44089209850063e-16
+7 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 4.44089209850063e-16
+8 0 1 0 0 18 14 32 4.44089209850063e-16
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+8 0 1 0 0 18 37 32 4.44089209850063e-16
+8 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 4.44089209850063e-16
+8 0 0 0 0 18 2 32 4.44089209850063e-16
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+8 0 0 0 0 18 48 32 4.44089209850063e-16
+8 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 4.44089209850063e-16
+9 0 1 0 0 18 14 32 4.44089209850063e-16
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+9 0 1 0 0 18 37 32 4.44089209850063e-16
+9 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 4.44089209850063e-16
+10 0 1 0 0 18 14 32 4.44089209850063e-16
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+10 0 1 0 0 18 37 32 4.44089209850063e-16
+10 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 4.44089209850063e-16
+10 0 0 0 0 18 2 32 4.44089209850063e-16
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+10 0 0 0 0 18 34 32 4.44089209850063e-16
+10 0 0 0 0 18 36 32 4.44089209850063e-16
+10 0 0 0 0 18 38 32 4.44089209850063e-16
+10 0 0 0 0 18 40 32 4.44089209850063e-16
+10 0 0 0 0 18 42 32 4.44089209850063e-16
+10 0 0 0 0 18 44 32 4.44089209850063e-16
+10 0 0 0 0 18 46 32 4.44089209850063e-16
+10 0 0 0 0 18 48 32 4.44089209850063e-16
+10 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 4.44089209850063e-16
+11 0 1 0 0 18 14 32 4.44089209850063e-16
+11 0 1 0 0 18 15 32 4.44089209850063e-16
+11 0 1 0 0 18 16 32 4.44089209850063e-16
+11 0 1 0 0 18 17 32 4.44089209850063e-16
+11 0 1 0 0 18 18 32 4.44089209850063e-16
+11 0 1 0 0 18 19 32 4.44089209850063e-16
+11 0 1 0 0 18 20 32 4.44089209850063e-16
+11 0 1 0 0 18 21 32 4.44089209850063e-16
+11 0 1 0 0 18 22 32 4.44089209850063e-16
+11 0 1 0 0 18 23 32 4.44089209850063e-16
+11 0 1 0 0 18 24 32 4.44089209850063e-16
+11 0 1 0 0 18 25 32 4.44089209850063e-16
+11 0 1 0 0 18 26 32 4.44089209850063e-16
+11 0 1 0 0 18 27 32 4.44089209850063e-16
+11 0 1 0 0 18 28 32 4.44089209850063e-16
+11 0 1 0 0 18 29 32 4.44089209850063e-16
+11 0 1 0 0 18 30 32 4.44089209850063e-16
+11 0 1 0 0 18 31 32 4.44089209850063e-16
+11 0 1 0 0 18 32 32 4.44089209850063e-16
+11 0 1 0 0 18 33 32 4.44089209850063e-16
+11 0 1 0 0 18 34 32 4.44089209850063e-16
+11 0 1 0 0 18 35 32 4.44089209850063e-16
+11 0 1 0 0 18 36 32 4.44089209850063e-16
+11 0 1 0 0 18 37 32 4.44089209850063e-16
+11 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 4.44089209850063e-16
+12 0 1 0 0 18 14 32 4.44089209850063e-16
+12 0 1 0 0 18 15 32 4.44089209850063e-16
+12 0 1 0 0 18 16 32 4.44089209850063e-16
+12 0 1 0 0 18 17 32 4.44089209850063e-16
+12 0 1 0 0 18 18 32 4.44089209850063e-16
+12 0 1 0 0 18 19 32 4.44089209850063e-16
+12 0 1 0 0 18 20 32 4.44089209850063e-16
+12 0 1 0 0 18 21 32 4.44089209850063e-16
+12 0 1 0 0 18 22 32 4.44089209850063e-16
+12 0 1 0 0 18 23 32 4.44089209850063e-16
+12 0 1 0 0 18 24 32 4.44089209850063e-16
+12 0 1 0 0 18 25 32 4.44089209850063e-16
+12 0 1 0 0 18 26 32 4.44089209850063e-16
+12 0 1 0 0 18 27 32 4.44089209850063e-16
+12 0 1 0 0 18 28 32 4.44089209850063e-16
+12 0 1 0 0 18 29 32 4.44089209850063e-16
+12 0 1 0 0 18 30 32 4.44089209850063e-16
+12 0 1 0 0 18 31 32 4.44089209850063e-16
+12 0 1 0 0 18 32 32 4.44089209850063e-16
+12 0 1 0 0 18 33 32 4.44089209850063e-16
+12 0 1 0 0 18 34 32 4.44089209850063e-16
+12 0 1 0 0 18 35 32 4.44089209850063e-16
+12 0 1 0 0 18 36 32 4.44089209850063e-16
+12 0 1 0 0 18 37 32 4.44089209850063e-16
+12 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 4.44089209850063e-16
+12 0 0 0 0 18 2 32 4.44089209850063e-16
+12 0 0 0 0 18 4 32 4.44089209850063e-16
+12 0 0 0 0 18 6 32 4.44089209850063e-16
+12 0 0 0 0 18 8 32 4.44089209850063e-16
+12 0 0 0 0 18 10 32 4.44089209850063e-16
+12 0 0 0 0 18 12 32 4.44089209850063e-16
+12 0 0 0 0 18 14 32 4.44089209850063e-16
+12 0 0 0 0 18 16 32 4.44089209850063e-16
+12 0 0 0 0 18 18 32 4.44089209850063e-16
+12 0 0 0 0 18 20 32 4.44089209850063e-16
+12 0 0 0 0 18 22 32 4.44089209850063e-16
+12 0 0 0 0 18 24 32 4.44089209850063e-16
+12 0 0 0 0 18 26 32 4.44089209850063e-16
+12 0 0 0 0 18 28 32 4.44089209850063e-16
+12 0 0 0 0 18 30 32 4.44089209850063e-16
+12 0 0 0 0 18 32 32 4.44089209850063e-16
+12 0 0 0 0 18 34 32 4.44089209850063e-16
+12 0 0 0 0 18 36 32 4.44089209850063e-16
+12 0 0 0 0 18 38 32 4.44089209850063e-16
+12 0 0 0 0 18 40 32 4.44089209850063e-16
+12 0 0 0 0 18 42 32 4.44089209850063e-16
+12 0 0 0 0 18 44 32 4.44089209850063e-16
+12 0 0 0 0 18 46 32 4.44089209850063e-16
+12 0 0 0 0 18 48 32 4.44089209850063e-16
+12 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.zl
new file mode 100644
index 000000000..2a73fe1f2
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_x.zl
@@ -0,0 +1,782 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 4.44089209850063e-16
+0 0 1 0 0 18 24 18 4.44089209850063e-16
+0 0 1 0 0 18 24 19 4.44089209850063e-16
+0 0 1 0 0 18 24 20 4.44089209850063e-16
+0 0 1 0 0 18 24 21 4.44089209850063e-16
+0 0 1 0 0 18 24 22 4.44089209850063e-16
+0 0 1 0 0 18 24 23 4.44089209850063e-16
+0 0 1 0 0 18 24 24 4.44089209850063e-16
+0 0 1 0 0 18 24 25 4.44089209850063e-16
+0 0 1 0 0 18 24 26 4.44089209850063e-16
+0 0 1 0 0 18 24 27 4.44089209850063e-16
+0 0 1 0 0 18 24 28 4.44089209850063e-16
+0 0 1 0 0 18 24 29 4.44089209850063e-16
+0 0 1 0 0 18 24 30 4.44089209850063e-16
+0 0 1 0 0 18 24 31 4.44089209850063e-16
+0 0 1 0 0 18 24 32 4.44089209850063e-16
+0 0 1 0 0 18 24 33 4.44089209850063e-16
+0 0 1 0 0 18 24 34 4.44089209850063e-16
+0 0 1 0 0 18 24 35 4.44089209850063e-16
+0 0 1 0 0 18 24 36 4.44089209850063e-16
+0 0 1 0 0 18 24 37 4.44089209850063e-16
+0 0 1 0 0 18 24 38 4.44089209850063e-16
+0 0 1 0 0 18 24 39 4.44089209850063e-16
+0 0 1 0 0 18 24 40 4.44089209850063e-16
+0 0 1 0 0 18 24 41 4.44089209850063e-16
+0 0 1 0 0 18 24 42 4.44089209850063e-16
+0 0 1 0 0 18 24 43 4.44089209850063e-16
+0 0 1 0 0 18 24 44 4.44089209850063e-16
+0 0 1 0 0 18 24 45 4.44089209850063e-16
+0 0 1 0 0 18 24 46 4.44089209850063e-16
+0 0 1 0 0 18 24 47 4.44089209850063e-16
+0 0 1 0 0 18 24 48 4.44089209850063e-16
+0 0 1 0 0 18 24 49 4.44089209850063e-16
+0 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 4.44089209850063e-16
+0 0 0 0 0 18 24 2 4.44089209850063e-16
+0 0 0 0 0 18 24 4 4.44089209850063e-16
+0 0 0 0 0 18 24 6 4.44089209850063e-16
+0 0 0 0 0 18 24 8 4.44089209850063e-16
+0 0 0 0 0 18 24 10 4.44089209850063e-16
+0 0 0 0 0 18 24 12 4.44089209850063e-16
+0 0 0 0 0 18 24 14 4.44089209850063e-16
+0 0 0 0 0 18 24 16 4.44089209850063e-16
+0 0 0 0 0 18 24 18 4.44089209850063e-16
+0 0 0 0 0 18 24 20 4.44089209850063e-16
+0 0 0 0 0 18 24 22 4.44089209850063e-16
+0 0 0 0 0 18 24 24 4.44089209850063e-16
+0 0 0 0 0 18 24 26 4.44089209850063e-16
+0 0 0 0 0 18 24 28 4.44089209850063e-16
+0 0 0 0 0 18 24 30 4.44089209850063e-16
+0 0 0 0 0 18 24 32 4.44089209850063e-16
+0 0 0 0 0 18 24 34 4.44089209850063e-16
+0 0 0 0 0 18 24 36 4.44089209850063e-16
+0 0 0 0 0 18 24 38 4.44089209850063e-16
+0 0 0 0 0 18 24 40 4.44089209850063e-16
+0 0 0 0 0 18 24 42 4.44089209850063e-16
+0 0 0 0 0 18 24 44 4.44089209850063e-16
+0 0 0 0 0 18 24 46 4.44089209850063e-16
+0 0 0 0 0 18 24 48 4.44089209850063e-16
+0 0 0 0 0 18 24 50 4.44089209850063e-16
+0 0 0 0 0 18 24 52 4.44089209850063e-16
+0 0 0 0 0 18 24 54 4.44089209850063e-16
+0 0 0 0 0 18 24 56 4.44089209850063e-16
+0 0 0 0 0 18 24 58 4.44089209850063e-16
+0 0 0 0 0 18 24 60 4.44089209850063e-16
+0 0 0 0 0 18 24 62 4.44089209850063e-16
+0 0 0 0 0 18 24 64 4.44089209850063e-16
+0 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 4.44089209850063e-16
+1 0 1 0 0 18 24 18 4.44089209850063e-16
+1 0 1 0 0 18 24 19 4.44089209850063e-16
+1 0 1 0 0 18 24 20 4.44089209850063e-16
+1 0 1 0 0 18 24 21 4.44089209850063e-16
+1 0 1 0 0 18 24 22 4.44089209850063e-16
+1 0 1 0 0 18 24 23 4.44089209850063e-16
+1 0 1 0 0 18 24 24 4.44089209850063e-16
+1 0 1 0 0 18 24 25 4.44089209850063e-16
+1 0 1 0 0 18 24 26 4.44089209850063e-16
+1 0 1 0 0 18 24 27 4.44089209850063e-16
+1 0 1 0 0 18 24 28 4.44089209850063e-16
+1 0 1 0 0 18 24 29 4.44089209850063e-16
+1 0 1 0 0 18 24 30 4.44089209850063e-16
+1 0 1 0 0 18 24 31 4.44089209850063e-16
+1 0 1 0 0 18 24 32 4.44089209850063e-16
+1 0 1 0 0 18 24 33 4.44089209850063e-16
+1 0 1 0 0 18 24 34 4.44089209850063e-16
+1 0 1 0 0 18 24 35 4.44089209850063e-16
+1 0 1 0 0 18 24 36 4.44089209850063e-16
+1 0 1 0 0 18 24 37 4.44089209850063e-16
+1 0 1 0 0 18 24 38 4.44089209850063e-16
+1 0 1 0 0 18 24 39 4.44089209850063e-16
+1 0 1 0 0 18 24 40 4.44089209850063e-16
+1 0 1 0 0 18 24 41 4.44089209850063e-16
+1 0 1 0 0 18 24 42 4.44089209850063e-16
+1 0 1 0 0 18 24 43 4.44089209850063e-16
+1 0 1 0 0 18 24 44 4.44089209850063e-16
+1 0 1 0 0 18 24 45 4.44089209850063e-16
+1 0 1 0 0 18 24 46 4.44089209850063e-16
+1 0 1 0 0 18 24 47 4.44089209850063e-16
+1 0 1 0 0 18 24 48 4.44089209850063e-16
+1 0 1 0 0 18 24 49 4.44089209850063e-16
+1 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 4.44089209850063e-16
+2 0 1 0 0 18 24 18 4.44089209850063e-16
+2 0 1 0 0 18 24 19 4.44089209850063e-16
+2 0 1 0 0 18 24 20 4.44089209850063e-16
+2 0 1 0 0 18 24 21 4.44089209850063e-16
+2 0 1 0 0 18 24 22 4.44089209850063e-16
+2 0 1 0 0 18 24 23 4.44089209850063e-16
+2 0 1 0 0 18 24 24 4.44089209850063e-16
+2 0 1 0 0 18 24 25 4.44089209850063e-16
+2 0 1 0 0 18 24 26 4.44089209850063e-16
+2 0 1 0 0 18 24 27 4.44089209850063e-16
+2 0 1 0 0 18 24 28 4.44089209850063e-16
+2 0 1 0 0 18 24 29 4.44089209850063e-16
+2 0 1 0 0 18 24 30 4.44089209850063e-16
+2 0 1 0 0 18 24 31 4.44089209850063e-16
+2 0 1 0 0 18 24 32 4.44089209850063e-16
+2 0 1 0 0 18 24 33 4.44089209850063e-16
+2 0 1 0 0 18 24 34 4.44089209850063e-16
+2 0 1 0 0 18 24 35 4.44089209850063e-16
+2 0 1 0 0 18 24 36 4.44089209850063e-16
+2 0 1 0 0 18 24 37 4.44089209850063e-16
+2 0 1 0 0 18 24 38 4.44089209850063e-16
+2 0 1 0 0 18 24 39 4.44089209850063e-16
+2 0 1 0 0 18 24 40 4.44089209850063e-16
+2 0 1 0 0 18 24 41 4.44089209850063e-16
+2 0 1 0 0 18 24 42 4.44089209850063e-16
+2 0 1 0 0 18 24 43 4.44089209850063e-16
+2 0 1 0 0 18 24 44 4.44089209850063e-16
+2 0 1 0 0 18 24 45 4.44089209850063e-16
+2 0 1 0 0 18 24 46 4.44089209850063e-16
+2 0 1 0 0 18 24 47 4.44089209850063e-16
+2 0 1 0 0 18 24 48 4.44089209850063e-16
+2 0 1 0 0 18 24 49 4.44089209850063e-16
+2 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 4.44089209850063e-16
+2 0 0 0 0 18 24 2 4.44089209850063e-16
+2 0 0 0 0 18 24 4 4.44089209850063e-16
+2 0 0 0 0 18 24 6 4.44089209850063e-16
+2 0 0 0 0 18 24 8 4.44089209850063e-16
+2 0 0 0 0 18 24 10 4.44089209850063e-16
+2 0 0 0 0 18 24 12 4.44089209850063e-16
+2 0 0 0 0 18 24 14 4.44089209850063e-16
+2 0 0 0 0 18 24 16 4.44089209850063e-16
+2 0 0 0 0 18 24 18 4.44089209850063e-16
+2 0 0 0 0 18 24 20 4.44089209850063e-16
+2 0 0 0 0 18 24 22 4.44089209850063e-16
+2 0 0 0 0 18 24 24 4.44089209850063e-16
+2 0 0 0 0 18 24 26 4.44089209850063e-16
+2 0 0 0 0 18 24 28 4.44089209850063e-16
+2 0 0 0 0 18 24 30 4.44089209850063e-16
+2 0 0 0 0 18 24 32 4.44089209850063e-16
+2 0 0 0 0 18 24 34 4.44089209850063e-16
+2 0 0 0 0 18 24 36 4.44089209850063e-16
+2 0 0 0 0 18 24 38 4.44089209850063e-16
+2 0 0 0 0 18 24 40 4.44089209850063e-16
+2 0 0 0 0 18 24 42 4.44089209850063e-16
+2 0 0 0 0 18 24 44 4.44089209850063e-16
+2 0 0 0 0 18 24 46 4.44089209850063e-16
+2 0 0 0 0 18 24 48 4.44089209850063e-16
+2 0 0 0 0 18 24 50 4.44089209850063e-16
+2 0 0 0 0 18 24 52 4.44089209850063e-16
+2 0 0 0 0 18 24 54 4.44089209850063e-16
+2 0 0 0 0 18 24 56 4.44089209850063e-16
+2 0 0 0 0 18 24 58 4.44089209850063e-16
+2 0 0 0 0 18 24 60 4.44089209850063e-16
+2 0 0 0 0 18 24 62 4.44089209850063e-16
+2 0 0 0 0 18 24 64 4.44089209850063e-16
+2 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 4.44089209850063e-16
+3 0 1 0 0 18 24 18 4.44089209850063e-16
+3 0 1 0 0 18 24 19 4.44089209850063e-16
+3 0 1 0 0 18 24 20 4.44089209850063e-16
+3 0 1 0 0 18 24 21 4.44089209850063e-16
+3 0 1 0 0 18 24 22 4.44089209850063e-16
+3 0 1 0 0 18 24 23 4.44089209850063e-16
+3 0 1 0 0 18 24 24 4.44089209850063e-16
+3 0 1 0 0 18 24 25 4.44089209850063e-16
+3 0 1 0 0 18 24 26 4.44089209850063e-16
+3 0 1 0 0 18 24 27 4.44089209850063e-16
+3 0 1 0 0 18 24 28 4.44089209850063e-16
+3 0 1 0 0 18 24 29 4.44089209850063e-16
+3 0 1 0 0 18 24 30 4.44089209850063e-16
+3 0 1 0 0 18 24 31 4.44089209850063e-16
+3 0 1 0 0 18 24 32 4.44089209850063e-16
+3 0 1 0 0 18 24 33 4.44089209850063e-16
+3 0 1 0 0 18 24 34 4.44089209850063e-16
+3 0 1 0 0 18 24 35 4.44089209850063e-16
+3 0 1 0 0 18 24 36 4.44089209850063e-16
+3 0 1 0 0 18 24 37 4.44089209850063e-16
+3 0 1 0 0 18 24 38 4.44089209850063e-16
+3 0 1 0 0 18 24 39 4.44089209850063e-16
+3 0 1 0 0 18 24 40 4.44089209850063e-16
+3 0 1 0 0 18 24 41 4.44089209850063e-16
+3 0 1 0 0 18 24 42 4.44089209850063e-16
+3 0 1 0 0 18 24 43 4.44089209850063e-16
+3 0 1 0 0 18 24 44 4.44089209850063e-16
+3 0 1 0 0 18 24 45 4.44089209850063e-16
+3 0 1 0 0 18 24 46 4.44089209850063e-16
+3 0 1 0 0 18 24 47 4.44089209850063e-16
+3 0 1 0 0 18 24 48 4.44089209850063e-16
+3 0 1 0 0 18 24 49 4.44089209850063e-16
+3 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 4.44089209850063e-16
+4 0 1 0 0 18 24 18 4.44089209850063e-16
+4 0 1 0 0 18 24 19 4.44089209850063e-16
+4 0 1 0 0 18 24 20 4.44089209850063e-16
+4 0 1 0 0 18 24 21 4.44089209850063e-16
+4 0 1 0 0 18 24 22 4.44089209850063e-16
+4 0 1 0 0 18 24 23 4.44089209850063e-16
+4 0 1 0 0 18 24 24 4.44089209850063e-16
+4 0 1 0 0 18 24 25 4.44089209850063e-16
+4 0 1 0 0 18 24 26 4.44089209850063e-16
+4 0 1 0 0 18 24 27 4.44089209850063e-16
+4 0 1 0 0 18 24 28 4.44089209850063e-16
+4 0 1 0 0 18 24 29 4.44089209850063e-16
+4 0 1 0 0 18 24 30 4.44089209850063e-16
+4 0 1 0 0 18 24 31 4.44089209850063e-16
+4 0 1 0 0 18 24 32 4.44089209850063e-16
+4 0 1 0 0 18 24 33 4.44089209850063e-16
+4 0 1 0 0 18 24 34 4.44089209850063e-16
+4 0 1 0 0 18 24 35 4.44089209850063e-16
+4 0 1 0 0 18 24 36 4.44089209850063e-16
+4 0 1 0 0 18 24 37 4.44089209850063e-16
+4 0 1 0 0 18 24 38 4.44089209850063e-16
+4 0 1 0 0 18 24 39 4.44089209850063e-16
+4 0 1 0 0 18 24 40 4.44089209850063e-16
+4 0 1 0 0 18 24 41 4.44089209850063e-16
+4 0 1 0 0 18 24 42 4.44089209850063e-16
+4 0 1 0 0 18 24 43 4.44089209850063e-16
+4 0 1 0 0 18 24 44 4.44089209850063e-16
+4 0 1 0 0 18 24 45 4.44089209850063e-16
+4 0 1 0 0 18 24 46 4.44089209850063e-16
+4 0 1 0 0 18 24 47 4.44089209850063e-16
+4 0 1 0 0 18 24 48 4.44089209850063e-16
+4 0 1 0 0 18 24 49 4.44089209850063e-16
+4 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 4.44089209850063e-16
+4 0 0 0 0 18 24 2 4.44089209850063e-16
+4 0 0 0 0 18 24 4 4.44089209850063e-16
+4 0 0 0 0 18 24 6 4.44089209850063e-16
+4 0 0 0 0 18 24 8 4.44089209850063e-16
+4 0 0 0 0 18 24 10 4.44089209850063e-16
+4 0 0 0 0 18 24 12 4.44089209850063e-16
+4 0 0 0 0 18 24 14 4.44089209850063e-16
+4 0 0 0 0 18 24 16 4.44089209850063e-16
+4 0 0 0 0 18 24 18 4.44089209850063e-16
+4 0 0 0 0 18 24 20 4.44089209850063e-16
+4 0 0 0 0 18 24 22 4.44089209850063e-16
+4 0 0 0 0 18 24 24 4.44089209850063e-16
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+4 0 0 0 0 18 24 28 4.44089209850063e-16
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+4 0 0 0 0 18 24 64 4.44089209850063e-16
+4 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 4.44089209850063e-16
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+5 0 1 0 0 18 24 49 4.44089209850063e-16
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+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 4.44089209850063e-16
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+6 0 1 0 0 18 24 49 4.44089209850063e-16
+6 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 4.44089209850063e-16
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+6 0 0 0 0 18 24 64 4.44089209850063e-16
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+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 4.44089209850063e-16
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+7 0 1 0 0 18 24 49 4.44089209850063e-16
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+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 4.44089209850063e-16
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+8 0 1 0 0 18 24 49 4.44089209850063e-16
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+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 4.44089209850063e-16
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+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 4.44089209850063e-16
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+9 0 1 0 0 18 24 49 4.44089209850063e-16
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+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 4.44089209850063e-16
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+10 0 1 0 0 18 24 49 4.44089209850063e-16
+10 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 4.44089209850063e-16
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+10 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 4.44089209850063e-16
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+11 0 1 0 0 18 24 38 4.44089209850063e-16
+11 0 1 0 0 18 24 39 4.44089209850063e-16
+11 0 1 0 0 18 24 40 4.44089209850063e-16
+11 0 1 0 0 18 24 41 4.44089209850063e-16
+11 0 1 0 0 18 24 42 4.44089209850063e-16
+11 0 1 0 0 18 24 43 4.44089209850063e-16
+11 0 1 0 0 18 24 44 4.44089209850063e-16
+11 0 1 0 0 18 24 45 4.44089209850063e-16
+11 0 1 0 0 18 24 46 4.44089209850063e-16
+11 0 1 0 0 18 24 47 4.44089209850063e-16
+11 0 1 0 0 18 24 48 4.44089209850063e-16
+11 0 1 0 0 18 24 49 4.44089209850063e-16
+11 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 4.44089209850063e-16
+12 0 1 0 0 18 24 18 4.44089209850063e-16
+12 0 1 0 0 18 24 19 4.44089209850063e-16
+12 0 1 0 0 18 24 20 4.44089209850063e-16
+12 0 1 0 0 18 24 21 4.44089209850063e-16
+12 0 1 0 0 18 24 22 4.44089209850063e-16
+12 0 1 0 0 18 24 23 4.44089209850063e-16
+12 0 1 0 0 18 24 24 4.44089209850063e-16
+12 0 1 0 0 18 24 25 4.44089209850063e-16
+12 0 1 0 0 18 24 26 4.44089209850063e-16
+12 0 1 0 0 18 24 27 4.44089209850063e-16
+12 0 1 0 0 18 24 28 4.44089209850063e-16
+12 0 1 0 0 18 24 29 4.44089209850063e-16
+12 0 1 0 0 18 24 30 4.44089209850063e-16
+12 0 1 0 0 18 24 31 4.44089209850063e-16
+12 0 1 0 0 18 24 32 4.44089209850063e-16
+12 0 1 0 0 18 24 33 4.44089209850063e-16
+12 0 1 0 0 18 24 34 4.44089209850063e-16
+12 0 1 0 0 18 24 35 4.44089209850063e-16
+12 0 1 0 0 18 24 36 4.44089209850063e-16
+12 0 1 0 0 18 24 37 4.44089209850063e-16
+12 0 1 0 0 18 24 38 4.44089209850063e-16
+12 0 1 0 0 18 24 39 4.44089209850063e-16
+12 0 1 0 0 18 24 40 4.44089209850063e-16
+12 0 1 0 0 18 24 41 4.44089209850063e-16
+12 0 1 0 0 18 24 42 4.44089209850063e-16
+12 0 1 0 0 18 24 43 4.44089209850063e-16
+12 0 1 0 0 18 24 44 4.44089209850063e-16
+12 0 1 0 0 18 24 45 4.44089209850063e-16
+12 0 1 0 0 18 24 46 4.44089209850063e-16
+12 0 1 0 0 18 24 47 4.44089209850063e-16
+12 0 1 0 0 18 24 48 4.44089209850063e-16
+12 0 1 0 0 18 24 49 4.44089209850063e-16
+12 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 4.44089209850063e-16
+12 0 0 0 0 18 24 2 4.44089209850063e-16
+12 0 0 0 0 18 24 4 4.44089209850063e-16
+12 0 0 0 0 18 24 6 4.44089209850063e-16
+12 0 0 0 0 18 24 8 4.44089209850063e-16
+12 0 0 0 0 18 24 10 4.44089209850063e-16
+12 0 0 0 0 18 24 12 4.44089209850063e-16
+12 0 0 0 0 18 24 14 4.44089209850063e-16
+12 0 0 0 0 18 24 16 4.44089209850063e-16
+12 0 0 0 0 18 24 18 4.44089209850063e-16
+12 0 0 0 0 18 24 20 4.44089209850063e-16
+12 0 0 0 0 18 24 22 4.44089209850063e-16
+12 0 0 0 0 18 24 24 4.44089209850063e-16
+12 0 0 0 0 18 24 26 4.44089209850063e-16
+12 0 0 0 0 18 24 28 4.44089209850063e-16
+12 0 0 0 0 18 24 30 4.44089209850063e-16
+12 0 0 0 0 18 24 32 4.44089209850063e-16
+12 0 0 0 0 18 24 34 4.44089209850063e-16
+12 0 0 0 0 18 24 36 4.44089209850063e-16
+12 0 0 0 0 18 24 38 4.44089209850063e-16
+12 0 0 0 0 18 24 40 4.44089209850063e-16
+12 0 0 0 0 18 24 42 4.44089209850063e-16
+12 0 0 0 0 18 24 44 4.44089209850063e-16
+12 0 0 0 0 18 24 46 4.44089209850063e-16
+12 0 0 0 0 18 24 48 4.44089209850063e-16
+12 0 0 0 0 18 24 50 4.44089209850063e-16
+12 0 0 0 0 18 24 52 4.44089209850063e-16
+12 0 0 0 0 18 24 54 4.44089209850063e-16
+12 0 0 0 0 18 24 56 4.44089209850063e-16
+12 0 0 0 0 18 24 58 4.44089209850063e-16
+12 0 0 0 0 18 24 60 4.44089209850063e-16
+12 0 0 0 0 18 24 62 4.44089209850063e-16
+12 0 0 0 0 18 24 64 4.44089209850063e-16
+12 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.xl
new file mode 100644
index 000000000..463d316c5
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.xl
@@ -0,0 +1,482 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -4.44089209850063e-16
+0 0 1 0 0 10 24 32 -4.44089209850063e-16
+0 0 1 0 0 11 24 32 -4.44089209850063e-16
+0 0 1 0 0 12 24 32 -4.44089209850063e-16
+0 0 1 0 0 13 24 32 -4.44089209850063e-16
+0 0 1 0 0 14 24 32 -4.44089209850063e-16
+0 0 1 0 0 15 24 32 -4.44089209850063e-16
+0 0 1 0 0 16 24 32 -4.44089209850063e-16
+0 0 1 0 0 17 24 32 -4.44089209850063e-16
+0 0 1 0 0 18 24 32 -4.44089209850063e-16
+0 0 1 0 0 19 24 32 -4.44089209850063e-16
+0 0 1 0 0 20 24 32 -4.44089209850063e-16
+0 0 1 0 0 21 24 32 -4.44089209850063e-16
+0 0 1 0 0 22 24 32 -4.44089209850063e-16
+0 0 1 0 0 23 24 32 -4.44089209850063e-16
+0 0 1 0 0 24 24 32 -4.44089209850063e-16
+0 0 1 0 0 25 24 32 -4.44089209850063e-16
+0 0 1 0 0 26 24 32 -4.44089209850063e-16
+0 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -4.44089209850063e-16
+0 0 0 0 0 2 24 32 -4.44089209850063e-16
+0 0 0 0 0 4 24 32 -4.44089209850063e-16
+0 0 0 0 0 6 24 32 -4.44089209850063e-16
+0 0 0 0 0 8 24 32 -4.44089209850063e-16
+0 0 0 0 0 10 24 32 -4.44089209850063e-16
+0 0 0 0 0 12 24 32 -4.44089209850063e-16
+0 0 0 0 0 14 24 32 -4.44089209850063e-16
+0 0 0 0 0 16 24 32 -4.44089209850063e-16
+0 0 0 0 0 18 24 32 -4.44089209850063e-16
+0 0 0 0 0 20 24 32 -4.44089209850063e-16
+0 0 0 0 0 22 24 32 -4.44089209850063e-16
+0 0 0 0 0 24 24 32 -4.44089209850063e-16
+0 0 0 0 0 26 24 32 -4.44089209850063e-16
+0 0 0 0 0 28 24 32 -4.44089209850063e-16
+0 0 0 0 0 30 24 32 -4.44089209850063e-16
+0 0 0 0 0 32 24 32 -4.44089209850063e-16
+0 0 0 0 0 34 24 32 -4.44089209850063e-16
+0 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -4.44089209850063e-16
+1 0 1 0 0 10 24 32 -4.44089209850063e-16
+1 0 1 0 0 11 24 32 -4.44089209850063e-16
+1 0 1 0 0 12 24 32 -4.44089209850063e-16
+1 0 1 0 0 13 24 32 -4.44089209850063e-16
+1 0 1 0 0 14 24 32 -4.44089209850063e-16
+1 0 1 0 0 15 24 32 -4.44089209850063e-16
+1 0 1 0 0 16 24 32 -4.44089209850063e-16
+1 0 1 0 0 17 24 32 -4.44089209850063e-16
+1 0 1 0 0 18 24 32 -4.44089209850063e-16
+1 0 1 0 0 19 24 32 -4.44089209850063e-16
+1 0 1 0 0 20 24 32 -4.44089209850063e-16
+1 0 1 0 0 21 24 32 -4.44089209850063e-16
+1 0 1 0 0 22 24 32 -4.44089209850063e-16
+1 0 1 0 0 23 24 32 -4.44089209850063e-16
+1 0 1 0 0 24 24 32 -4.44089209850063e-16
+1 0 1 0 0 25 24 32 -4.44089209850063e-16
+1 0 1 0 0 26 24 32 -4.44089209850063e-16
+1 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 -4.44089209850063e-16
+2 0 1 0 0 10 24 32 -4.44089209850063e-16
+2 0 1 0 0 11 24 32 -4.44089209850063e-16
+2 0 1 0 0 12 24 32 -4.44089209850063e-16
+2 0 1 0 0 13 24 32 -4.44089209850063e-16
+2 0 1 0 0 14 24 32 -4.44089209850063e-16
+2 0 1 0 0 15 24 32 -4.44089209850063e-16
+2 0 1 0 0 16 24 32 -4.44089209850063e-16
+2 0 1 0 0 17 24 32 -4.44089209850063e-16
+2 0 1 0 0 18 24 32 -4.44089209850063e-16
+2 0 1 0 0 19 24 32 -4.44089209850063e-16
+2 0 1 0 0 20 24 32 -4.44089209850063e-16
+2 0 1 0 0 21 24 32 -4.44089209850063e-16
+2 0 1 0 0 22 24 32 -4.44089209850063e-16
+2 0 1 0 0 23 24 32 -4.44089209850063e-16
+2 0 1 0 0 24 24 32 -4.44089209850063e-16
+2 0 1 0 0 25 24 32 -4.44089209850063e-16
+2 0 1 0 0 26 24 32 -4.44089209850063e-16
+2 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -4.44089209850063e-16
+2 0 0 0 0 2 24 32 -4.44089209850063e-16
+2 0 0 0 0 4 24 32 -4.44089209850063e-16
+2 0 0 0 0 6 24 32 -4.44089209850063e-16
+2 0 0 0 0 8 24 32 -4.44089209850063e-16
+2 0 0 0 0 10 24 32 -4.44089209850063e-16
+2 0 0 0 0 12 24 32 -4.44089209850063e-16
+2 0 0 0 0 14 24 32 -4.44089209850063e-16
+2 0 0 0 0 16 24 32 -4.44089209850063e-16
+2 0 0 0 0 18 24 32 -4.44089209850063e-16
+2 0 0 0 0 20 24 32 -4.44089209850063e-16
+2 0 0 0 0 22 24 32 -4.44089209850063e-16
+2 0 0 0 0 24 24 32 -4.44089209850063e-16
+2 0 0 0 0 26 24 32 -4.44089209850063e-16
+2 0 0 0 0 28 24 32 -4.44089209850063e-16
+2 0 0 0 0 30 24 32 -4.44089209850063e-16
+2 0 0 0 0 32 24 32 -4.44089209850063e-16
+2 0 0 0 0 34 24 32 -4.44089209850063e-16
+2 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 -4.44089209850063e-16
+3 0 1 0 0 10 24 32 -4.44089209850063e-16
+3 0 1 0 0 11 24 32 -4.44089209850063e-16
+3 0 1 0 0 12 24 32 -4.44089209850063e-16
+3 0 1 0 0 13 24 32 -4.44089209850063e-16
+3 0 1 0 0 14 24 32 -4.44089209850063e-16
+3 0 1 0 0 15 24 32 -4.44089209850063e-16
+3 0 1 0 0 16 24 32 -4.44089209850063e-16
+3 0 1 0 0 17 24 32 -4.44089209850063e-16
+3 0 1 0 0 18 24 32 -4.44089209850063e-16
+3 0 1 0 0 19 24 32 -4.44089209850063e-16
+3 0 1 0 0 20 24 32 -4.44089209850063e-16
+3 0 1 0 0 21 24 32 -4.44089209850063e-16
+3 0 1 0 0 22 24 32 -4.44089209850063e-16
+3 0 1 0 0 23 24 32 -4.44089209850063e-16
+3 0 1 0 0 24 24 32 -4.44089209850063e-16
+3 0 1 0 0 25 24 32 -4.44089209850063e-16
+3 0 1 0 0 26 24 32 -4.44089209850063e-16
+3 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 -4.44089209850063e-16
+4 0 1 0 0 10 24 32 -4.44089209850063e-16
+4 0 1 0 0 11 24 32 -4.44089209850063e-16
+4 0 1 0 0 12 24 32 -4.44089209850063e-16
+4 0 1 0 0 13 24 32 -4.44089209850063e-16
+4 0 1 0 0 14 24 32 -4.44089209850063e-16
+4 0 1 0 0 15 24 32 -4.44089209850063e-16
+4 0 1 0 0 16 24 32 -4.44089209850063e-16
+4 0 1 0 0 17 24 32 -4.44089209850063e-16
+4 0 1 0 0 18 24 32 -4.44089209850063e-16
+4 0 1 0 0 19 24 32 -4.44089209850063e-16
+4 0 1 0 0 20 24 32 -4.44089209850063e-16
+4 0 1 0 0 21 24 32 -4.44089209850063e-16
+4 0 1 0 0 22 24 32 -4.44089209850063e-16
+4 0 1 0 0 23 24 32 -4.44089209850063e-16
+4 0 1 0 0 24 24 32 -4.44089209850063e-16
+4 0 1 0 0 25 24 32 -4.44089209850063e-16
+4 0 1 0 0 26 24 32 -4.44089209850063e-16
+4 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -4.44089209850063e-16
+4 0 0 0 0 2 24 32 -4.44089209850063e-16
+4 0 0 0 0 4 24 32 -4.44089209850063e-16
+4 0 0 0 0 6 24 32 -4.44089209850063e-16
+4 0 0 0 0 8 24 32 -4.44089209850063e-16
+4 0 0 0 0 10 24 32 -4.44089209850063e-16
+4 0 0 0 0 12 24 32 -4.44089209850063e-16
+4 0 0 0 0 14 24 32 -4.44089209850063e-16
+4 0 0 0 0 16 24 32 -4.44089209850063e-16
+4 0 0 0 0 18 24 32 -4.44089209850063e-16
+4 0 0 0 0 20 24 32 -4.44089209850063e-16
+4 0 0 0 0 22 24 32 -4.44089209850063e-16
+4 0 0 0 0 24 24 32 -4.44089209850063e-16
+4 0 0 0 0 26 24 32 -4.44089209850063e-16
+4 0 0 0 0 28 24 32 -4.44089209850063e-16
+4 0 0 0 0 30 24 32 -4.44089209850063e-16
+4 0 0 0 0 32 24 32 -4.44089209850063e-16
+4 0 0 0 0 34 24 32 -4.44089209850063e-16
+4 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 -4.44089209850063e-16
+5 0 1 0 0 10 24 32 -4.44089209850063e-16
+5 0 1 0 0 11 24 32 -4.44089209850063e-16
+5 0 1 0 0 12 24 32 -4.44089209850063e-16
+5 0 1 0 0 13 24 32 -4.44089209850063e-16
+5 0 1 0 0 14 24 32 -4.44089209850063e-16
+5 0 1 0 0 15 24 32 -4.44089209850063e-16
+5 0 1 0 0 16 24 32 -4.44089209850063e-16
+5 0 1 0 0 17 24 32 -4.44089209850063e-16
+5 0 1 0 0 18 24 32 -4.44089209850063e-16
+5 0 1 0 0 19 24 32 -4.44089209850063e-16
+5 0 1 0 0 20 24 32 -4.44089209850063e-16
+5 0 1 0 0 21 24 32 -4.44089209850063e-16
+5 0 1 0 0 22 24 32 -4.44089209850063e-16
+5 0 1 0 0 23 24 32 -4.44089209850063e-16
+5 0 1 0 0 24 24 32 -4.44089209850063e-16
+5 0 1 0 0 25 24 32 -4.44089209850063e-16
+5 0 1 0 0 26 24 32 -4.44089209850063e-16
+5 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 -4.44089209850063e-16
+6 0 1 0 0 10 24 32 -4.44089209850063e-16
+6 0 1 0 0 11 24 32 -4.44089209850063e-16
+6 0 1 0 0 12 24 32 -4.44089209850063e-16
+6 0 1 0 0 13 24 32 -4.44089209850063e-16
+6 0 1 0 0 14 24 32 -4.44089209850063e-16
+6 0 1 0 0 15 24 32 -4.44089209850063e-16
+6 0 1 0 0 16 24 32 -4.44089209850063e-16
+6 0 1 0 0 17 24 32 -4.44089209850063e-16
+6 0 1 0 0 18 24 32 -4.44089209850063e-16
+6 0 1 0 0 19 24 32 -4.44089209850063e-16
+6 0 1 0 0 20 24 32 -4.44089209850063e-16
+6 0 1 0 0 21 24 32 -4.44089209850063e-16
+6 0 1 0 0 22 24 32 -4.44089209850063e-16
+6 0 1 0 0 23 24 32 -4.44089209850063e-16
+6 0 1 0 0 24 24 32 -4.44089209850063e-16
+6 0 1 0 0 25 24 32 -4.44089209850063e-16
+6 0 1 0 0 26 24 32 -4.44089209850063e-16
+6 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -4.44089209850063e-16
+6 0 0 0 0 2 24 32 -4.44089209850063e-16
+6 0 0 0 0 4 24 32 -4.44089209850063e-16
+6 0 0 0 0 6 24 32 -4.44089209850063e-16
+6 0 0 0 0 8 24 32 -4.44089209850063e-16
+6 0 0 0 0 10 24 32 -4.44089209850063e-16
+6 0 0 0 0 12 24 32 -4.44089209850063e-16
+6 0 0 0 0 14 24 32 -4.44089209850063e-16
+6 0 0 0 0 16 24 32 -4.44089209850063e-16
+6 0 0 0 0 18 24 32 -4.44089209850063e-16
+6 0 0 0 0 20 24 32 -4.44089209850063e-16
+6 0 0 0 0 22 24 32 -4.44089209850063e-16
+6 0 0 0 0 24 24 32 -4.44089209850063e-16
+6 0 0 0 0 26 24 32 -4.44089209850063e-16
+6 0 0 0 0 28 24 32 -4.44089209850063e-16
+6 0 0 0 0 30 24 32 -4.44089209850063e-16
+6 0 0 0 0 32 24 32 -4.44089209850063e-16
+6 0 0 0 0 34 24 32 -4.44089209850063e-16
+6 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 -4.44089209850063e-16
+7 0 1 0 0 10 24 32 -4.44089209850063e-16
+7 0 1 0 0 11 24 32 -4.44089209850063e-16
+7 0 1 0 0 12 24 32 -4.44089209850063e-16
+7 0 1 0 0 13 24 32 -4.44089209850063e-16
+7 0 1 0 0 14 24 32 -4.44089209850063e-16
+7 0 1 0 0 15 24 32 -4.44089209850063e-16
+7 0 1 0 0 16 24 32 -4.44089209850063e-16
+7 0 1 0 0 17 24 32 -4.44089209850063e-16
+7 0 1 0 0 18 24 32 -4.44089209850063e-16
+7 0 1 0 0 19 24 32 -4.44089209850063e-16
+7 0 1 0 0 20 24 32 -4.44089209850063e-16
+7 0 1 0 0 21 24 32 -4.44089209850063e-16
+7 0 1 0 0 22 24 32 -4.44089209850063e-16
+7 0 1 0 0 23 24 32 -4.44089209850063e-16
+7 0 1 0 0 24 24 32 -4.44089209850063e-16
+7 0 1 0 0 25 24 32 -4.44089209850063e-16
+7 0 1 0 0 26 24 32 -4.44089209850063e-16
+7 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 -4.44089209850063e-16
+8 0 1 0 0 10 24 32 -4.44089209850063e-16
+8 0 1 0 0 11 24 32 -4.44089209850063e-16
+8 0 1 0 0 12 24 32 -4.44089209850063e-16
+8 0 1 0 0 13 24 32 -4.44089209850063e-16
+8 0 1 0 0 14 24 32 -4.44089209850063e-16
+8 0 1 0 0 15 24 32 -4.44089209850063e-16
+8 0 1 0 0 16 24 32 -4.44089209850063e-16
+8 0 1 0 0 17 24 32 -4.44089209850063e-16
+8 0 1 0 0 18 24 32 -4.44089209850063e-16
+8 0 1 0 0 19 24 32 -4.44089209850063e-16
+8 0 1 0 0 20 24 32 -4.44089209850063e-16
+8 0 1 0 0 21 24 32 -4.44089209850063e-16
+8 0 1 0 0 22 24 32 -4.44089209850063e-16
+8 0 1 0 0 23 24 32 -4.44089209850063e-16
+8 0 1 0 0 24 24 32 -4.44089209850063e-16
+8 0 1 0 0 25 24 32 -4.44089209850063e-16
+8 0 1 0 0 26 24 32 -4.44089209850063e-16
+8 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -4.44089209850063e-16
+8 0 0 0 0 2 24 32 -4.44089209850063e-16
+8 0 0 0 0 4 24 32 -4.44089209850063e-16
+8 0 0 0 0 6 24 32 -4.44089209850063e-16
+8 0 0 0 0 8 24 32 -4.44089209850063e-16
+8 0 0 0 0 10 24 32 -4.44089209850063e-16
+8 0 0 0 0 12 24 32 -4.44089209850063e-16
+8 0 0 0 0 14 24 32 -4.44089209850063e-16
+8 0 0 0 0 16 24 32 -4.44089209850063e-16
+8 0 0 0 0 18 24 32 -4.44089209850063e-16
+8 0 0 0 0 20 24 32 -4.44089209850063e-16
+8 0 0 0 0 22 24 32 -4.44089209850063e-16
+8 0 0 0 0 24 24 32 -4.44089209850063e-16
+8 0 0 0 0 26 24 32 -4.44089209850063e-16
+8 0 0 0 0 28 24 32 -4.44089209850063e-16
+8 0 0 0 0 30 24 32 -4.44089209850063e-16
+8 0 0 0 0 32 24 32 -4.44089209850063e-16
+8 0 0 0 0 34 24 32 -4.44089209850063e-16
+8 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 -4.44089209850063e-16
+9 0 1 0 0 10 24 32 -4.44089209850063e-16
+9 0 1 0 0 11 24 32 -4.44089209850063e-16
+9 0 1 0 0 12 24 32 -4.44089209850063e-16
+9 0 1 0 0 13 24 32 -4.44089209850063e-16
+9 0 1 0 0 14 24 32 -4.44089209850063e-16
+9 0 1 0 0 15 24 32 -4.44089209850063e-16
+9 0 1 0 0 16 24 32 -4.44089209850063e-16
+9 0 1 0 0 17 24 32 -4.44089209850063e-16
+9 0 1 0 0 18 24 32 -4.44089209850063e-16
+9 0 1 0 0 19 24 32 -4.44089209850063e-16
+9 0 1 0 0 20 24 32 -4.44089209850063e-16
+9 0 1 0 0 21 24 32 -4.44089209850063e-16
+9 0 1 0 0 22 24 32 -4.44089209850063e-16
+9 0 1 0 0 23 24 32 -4.44089209850063e-16
+9 0 1 0 0 24 24 32 -4.44089209850063e-16
+9 0 1 0 0 25 24 32 -4.44089209850063e-16
+9 0 1 0 0 26 24 32 -4.44089209850063e-16
+9 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 -4.44089209850063e-16
+10 0 1 0 0 10 24 32 -4.44089209850063e-16
+10 0 1 0 0 11 24 32 -4.44089209850063e-16
+10 0 1 0 0 12 24 32 -4.44089209850063e-16
+10 0 1 0 0 13 24 32 -4.44089209850063e-16
+10 0 1 0 0 14 24 32 -4.44089209850063e-16
+10 0 1 0 0 15 24 32 -4.44089209850063e-16
+10 0 1 0 0 16 24 32 -4.44089209850063e-16
+10 0 1 0 0 17 24 32 -4.44089209850063e-16
+10 0 1 0 0 18 24 32 -4.44089209850063e-16
+10 0 1 0 0 19 24 32 -4.44089209850063e-16
+10 0 1 0 0 20 24 32 -4.44089209850063e-16
+10 0 1 0 0 21 24 32 -4.44089209850063e-16
+10 0 1 0 0 22 24 32 -4.44089209850063e-16
+10 0 1 0 0 23 24 32 -4.44089209850063e-16
+10 0 1 0 0 24 24 32 -4.44089209850063e-16
+10 0 1 0 0 25 24 32 -4.44089209850063e-16
+10 0 1 0 0 26 24 32 -4.44089209850063e-16
+10 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -4.44089209850063e-16
+10 0 0 0 0 2 24 32 -4.44089209850063e-16
+10 0 0 0 0 4 24 32 -4.44089209850063e-16
+10 0 0 0 0 6 24 32 -4.44089209850063e-16
+10 0 0 0 0 8 24 32 -4.44089209850063e-16
+10 0 0 0 0 10 24 32 -4.44089209850063e-16
+10 0 0 0 0 12 24 32 -4.44089209850063e-16
+10 0 0 0 0 14 24 32 -4.44089209850063e-16
+10 0 0 0 0 16 24 32 -4.44089209850063e-16
+10 0 0 0 0 18 24 32 -4.44089209850063e-16
+10 0 0 0 0 20 24 32 -4.44089209850063e-16
+10 0 0 0 0 22 24 32 -4.44089209850063e-16
+10 0 0 0 0 24 24 32 -4.44089209850063e-16
+10 0 0 0 0 26 24 32 -4.44089209850063e-16
+10 0 0 0 0 28 24 32 -4.44089209850063e-16
+10 0 0 0 0 30 24 32 -4.44089209850063e-16
+10 0 0 0 0 32 24 32 -4.44089209850063e-16
+10 0 0 0 0 34 24 32 -4.44089209850063e-16
+10 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 -4.44089209850063e-16
+11 0 1 0 0 10 24 32 -4.44089209850063e-16
+11 0 1 0 0 11 24 32 -4.44089209850063e-16
+11 0 1 0 0 12 24 32 -4.44089209850063e-16
+11 0 1 0 0 13 24 32 -4.44089209850063e-16
+11 0 1 0 0 14 24 32 -4.44089209850063e-16
+11 0 1 0 0 15 24 32 -4.44089209850063e-16
+11 0 1 0 0 16 24 32 -4.44089209850063e-16
+11 0 1 0 0 17 24 32 -4.44089209850063e-16
+11 0 1 0 0 18 24 32 -4.44089209850063e-16
+11 0 1 0 0 19 24 32 -4.44089209850063e-16
+11 0 1 0 0 20 24 32 -4.44089209850063e-16
+11 0 1 0 0 21 24 32 -4.44089209850063e-16
+11 0 1 0 0 22 24 32 -4.44089209850063e-16
+11 0 1 0 0 23 24 32 -4.44089209850063e-16
+11 0 1 0 0 24 24 32 -4.44089209850063e-16
+11 0 1 0 0 25 24 32 -4.44089209850063e-16
+11 0 1 0 0 26 24 32 -4.44089209850063e-16
+11 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 -4.44089209850063e-16
+12 0 1 0 0 10 24 32 -4.44089209850063e-16
+12 0 1 0 0 11 24 32 -4.44089209850063e-16
+12 0 1 0 0 12 24 32 -4.44089209850063e-16
+12 0 1 0 0 13 24 32 -4.44089209850063e-16
+12 0 1 0 0 14 24 32 -4.44089209850063e-16
+12 0 1 0 0 15 24 32 -4.44089209850063e-16
+12 0 1 0 0 16 24 32 -4.44089209850063e-16
+12 0 1 0 0 17 24 32 -4.44089209850063e-16
+12 0 1 0 0 18 24 32 -4.44089209850063e-16
+12 0 1 0 0 19 24 32 -4.44089209850063e-16
+12 0 1 0 0 20 24 32 -4.44089209850063e-16
+12 0 1 0 0 21 24 32 -4.44089209850063e-16
+12 0 1 0 0 22 24 32 -4.44089209850063e-16
+12 0 1 0 0 23 24 32 -4.44089209850063e-16
+12 0 1 0 0 24 24 32 -4.44089209850063e-16
+12 0 1 0 0 25 24 32 -4.44089209850063e-16
+12 0 1 0 0 26 24 32 -4.44089209850063e-16
+12 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -4.44089209850063e-16
+12 0 0 0 0 2 24 32 -4.44089209850063e-16
+12 0 0 0 0 4 24 32 -4.44089209850063e-16
+12 0 0 0 0 6 24 32 -4.44089209850063e-16
+12 0 0 0 0 8 24 32 -4.44089209850063e-16
+12 0 0 0 0 10 24 32 -4.44089209850063e-16
+12 0 0 0 0 12 24 32 -4.44089209850063e-16
+12 0 0 0 0 14 24 32 -4.44089209850063e-16
+12 0 0 0 0 16 24 32 -4.44089209850063e-16
+12 0 0 0 0 18 24 32 -4.44089209850063e-16
+12 0 0 0 0 20 24 32 -4.44089209850063e-16
+12 0 0 0 0 22 24 32 -4.44089209850063e-16
+12 0 0 0 0 24 24 32 -4.44089209850063e-16
+12 0 0 0 0 26 24 32 -4.44089209850063e-16
+12 0 0 0 0 28 24 32 -4.44089209850063e-16
+12 0 0 0 0 30 24 32 -4.44089209850063e-16
+12 0 0 0 0 32 24 32 -4.44089209850063e-16
+12 0 0 0 0 34 24 32 -4.44089209850063e-16
+12 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.yl
new file mode 100644
index 000000000..6f89efa80
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.yl
@@ -0,0 +1,622 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -3.3
+0 0 1 0 0 18 14 32 -3
+0 0 1 0 0 18 15 32 -2.7
+0 0 1 0 0 18 16 32 -2.4
+0 0 1 0 0 18 17 32 -2.1
+0 0 1 0 0 18 18 32 -1.8
+0 0 1 0 0 18 19 32 -1.5
+0 0 1 0 0 18 20 32 -1.2
+0 0 1 0 0 18 21 32 -0.9
+0 0 1 0 0 18 22 32 -0.6
+0 0 1 0 0 18 23 32 -0.3
+0 0 1 0 0 18 24 32 -4.44089209850063e-16
+0 0 1 0 0 18 25 32 0.3
+0 0 1 0 0 18 26 32 0.6
+0 0 1 0 0 18 27 32 0.899999999999999
+0 0 1 0 0 18 28 32 1.2
+0 0 1 0 0 18 29 32 1.5
+0 0 1 0 0 18 30 32 1.8
+0 0 1 0 0 18 31 32 2.1
+0 0 1 0 0 18 32 32 2.4
+0 0 1 0 0 18 33 32 2.7
+0 0 1 0 0 18 34 32 3
+0 0 1 0 0 18 35 32 3.3
+0 0 1 0 0 18 36 32 3.6
+0 0 1 0 0 18 37 32 3.9
+0 0 1 0 0 18 38 32 4.2
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -7.2
+0 0 0 0 0 18 2 32 -6.6
+0 0 0 0 0 18 4 32 -6
+0 0 0 0 0 18 6 32 -5.4
+0 0 0 0 0 18 8 32 -4.8
+0 0 0 0 0 18 10 32 -4.2
+0 0 0 0 0 18 12 32 -3.6
+0 0 0 0 0 18 14 32 -3
+0 0 0 0 0 18 16 32 -2.4
+0 0 0 0 0 18 18 32 -1.8
+0 0 0 0 0 18 20 32 -1.2
+0 0 0 0 0 18 22 32 -0.6
+0 0 0 0 0 18 24 32 -4.44089209850063e-16
+0 0 0 0 0 18 26 32 0.6
+0 0 0 0 0 18 28 32 1.2
+0 0 0 0 0 18 30 32 1.8
+0 0 0 0 0 18 32 32 2.4
+0 0 0 0 0 18 34 32 3
+0 0 0 0 0 18 36 32 3.6
+0 0 0 0 0 18 38 32 4.2
+0 0 0 0 0 18 40 32 4.8
+0 0 0 0 0 18 42 32 5.4
+0 0 0 0 0 18 44 32 6
+0 0 0 0 0 18 46 32 6.6
+0 0 0 0 0 18 48 32 7.2
+0 0 0 0 0 18 50 32 7.8
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 -3.3
+1 0 1 0 0 18 14 32 -3
+1 0 1 0 0 18 15 32 -2.7
+1 0 1 0 0 18 16 32 -2.4
+1 0 1 0 0 18 17 32 -2.1
+1 0 1 0 0 18 18 32 -1.8
+1 0 1 0 0 18 19 32 -1.5
+1 0 1 0 0 18 20 32 -1.2
+1 0 1 0 0 18 21 32 -0.9
+1 0 1 0 0 18 22 32 -0.6
+1 0 1 0 0 18 23 32 -0.3
+1 0 1 0 0 18 24 32 -4.44089209850063e-16
+1 0 1 0 0 18 25 32 0.3
+1 0 1 0 0 18 26 32 0.6
+1 0 1 0 0 18 27 32 0.899999999999999
+1 0 1 0 0 18 28 32 1.2
+1 0 1 0 0 18 29 32 1.5
+1 0 1 0 0 18 30 32 1.8
+1 0 1 0 0 18 31 32 2.1
+1 0 1 0 0 18 32 32 2.4
+1 0 1 0 0 18 33 32 2.7
+1 0 1 0 0 18 34 32 3
+1 0 1 0 0 18 35 32 3.3
+1 0 1 0 0 18 36 32 3.6
+1 0 1 0 0 18 37 32 3.9
+1 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 -3.3
+2 0 1 0 0 18 14 32 -3
+2 0 1 0 0 18 15 32 -2.7
+2 0 1 0 0 18 16 32 -2.4
+2 0 1 0 0 18 17 32 -2.1
+2 0 1 0 0 18 18 32 -1.8
+2 0 1 0 0 18 19 32 -1.5
+2 0 1 0 0 18 20 32 -1.2
+2 0 1 0 0 18 21 32 -0.9
+2 0 1 0 0 18 22 32 -0.6
+2 0 1 0 0 18 23 32 -0.3
+2 0 1 0 0 18 24 32 -4.44089209850063e-16
+2 0 1 0 0 18 25 32 0.3
+2 0 1 0 0 18 26 32 0.6
+2 0 1 0 0 18 27 32 0.899999999999999
+2 0 1 0 0 18 28 32 1.2
+2 0 1 0 0 18 29 32 1.5
+2 0 1 0 0 18 30 32 1.8
+2 0 1 0 0 18 31 32 2.1
+2 0 1 0 0 18 32 32 2.4
+2 0 1 0 0 18 33 32 2.7
+2 0 1 0 0 18 34 32 3
+2 0 1 0 0 18 35 32 3.3
+2 0 1 0 0 18 36 32 3.6
+2 0 1 0 0 18 37 32 3.9
+2 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 -7.2
+2 0 0 0 0 18 2 32 -6.6
+2 0 0 0 0 18 4 32 -6
+2 0 0 0 0 18 6 32 -5.4
+2 0 0 0 0 18 8 32 -4.8
+2 0 0 0 0 18 10 32 -4.2
+2 0 0 0 0 18 12 32 -3.6
+2 0 0 0 0 18 14 32 -3
+2 0 0 0 0 18 16 32 -2.4
+2 0 0 0 0 18 18 32 -1.8
+2 0 0 0 0 18 20 32 -1.2
+2 0 0 0 0 18 22 32 -0.6
+2 0 0 0 0 18 24 32 -4.44089209850063e-16
+2 0 0 0 0 18 26 32 0.6
+2 0 0 0 0 18 28 32 1.2
+2 0 0 0 0 18 30 32 1.8
+2 0 0 0 0 18 32 32 2.4
+2 0 0 0 0 18 34 32 3
+2 0 0 0 0 18 36 32 3.6
+2 0 0 0 0 18 38 32 4.2
+2 0 0 0 0 18 40 32 4.8
+2 0 0 0 0 18 42 32 5.4
+2 0 0 0 0 18 44 32 6
+2 0 0 0 0 18 46 32 6.6
+2 0 0 0 0 18 48 32 7.2
+2 0 0 0 0 18 50 32 7.8
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 -3.3
+3 0 1 0 0 18 14 32 -3
+3 0 1 0 0 18 15 32 -2.7
+3 0 1 0 0 18 16 32 -2.4
+3 0 1 0 0 18 17 32 -2.1
+3 0 1 0 0 18 18 32 -1.8
+3 0 1 0 0 18 19 32 -1.5
+3 0 1 0 0 18 20 32 -1.2
+3 0 1 0 0 18 21 32 -0.9
+3 0 1 0 0 18 22 32 -0.6
+3 0 1 0 0 18 23 32 -0.3
+3 0 1 0 0 18 24 32 -4.44089209850063e-16
+3 0 1 0 0 18 25 32 0.3
+3 0 1 0 0 18 26 32 0.6
+3 0 1 0 0 18 27 32 0.899999999999999
+3 0 1 0 0 18 28 32 1.2
+3 0 1 0 0 18 29 32 1.5
+3 0 1 0 0 18 30 32 1.8
+3 0 1 0 0 18 31 32 2.1
+3 0 1 0 0 18 32 32 2.4
+3 0 1 0 0 18 33 32 2.7
+3 0 1 0 0 18 34 32 3
+3 0 1 0 0 18 35 32 3.3
+3 0 1 0 0 18 36 32 3.6
+3 0 1 0 0 18 37 32 3.9
+3 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 -3.3
+4 0 1 0 0 18 14 32 -3
+4 0 1 0 0 18 15 32 -2.7
+4 0 1 0 0 18 16 32 -2.4
+4 0 1 0 0 18 17 32 -2.1
+4 0 1 0 0 18 18 32 -1.8
+4 0 1 0 0 18 19 32 -1.5
+4 0 1 0 0 18 20 32 -1.2
+4 0 1 0 0 18 21 32 -0.9
+4 0 1 0 0 18 22 32 -0.6
+4 0 1 0 0 18 23 32 -0.3
+4 0 1 0 0 18 24 32 -4.44089209850063e-16
+4 0 1 0 0 18 25 32 0.3
+4 0 1 0 0 18 26 32 0.6
+4 0 1 0 0 18 27 32 0.899999999999999
+4 0 1 0 0 18 28 32 1.2
+4 0 1 0 0 18 29 32 1.5
+4 0 1 0 0 18 30 32 1.8
+4 0 1 0 0 18 31 32 2.1
+4 0 1 0 0 18 32 32 2.4
+4 0 1 0 0 18 33 32 2.7
+4 0 1 0 0 18 34 32 3
+4 0 1 0 0 18 35 32 3.3
+4 0 1 0 0 18 36 32 3.6
+4 0 1 0 0 18 37 32 3.9
+4 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 -7.2
+4 0 0 0 0 18 2 32 -6.6
+4 0 0 0 0 18 4 32 -6
+4 0 0 0 0 18 6 32 -5.4
+4 0 0 0 0 18 8 32 -4.8
+4 0 0 0 0 18 10 32 -4.2
+4 0 0 0 0 18 12 32 -3.6
+4 0 0 0 0 18 14 32 -3
+4 0 0 0 0 18 16 32 -2.4
+4 0 0 0 0 18 18 32 -1.8
+4 0 0 0 0 18 20 32 -1.2
+4 0 0 0 0 18 22 32 -0.6
+4 0 0 0 0 18 24 32 -4.44089209850063e-16
+4 0 0 0 0 18 26 32 0.6
+4 0 0 0 0 18 28 32 1.2
+4 0 0 0 0 18 30 32 1.8
+4 0 0 0 0 18 32 32 2.4
+4 0 0 0 0 18 34 32 3
+4 0 0 0 0 18 36 32 3.6
+4 0 0 0 0 18 38 32 4.2
+4 0 0 0 0 18 40 32 4.8
+4 0 0 0 0 18 42 32 5.4
+4 0 0 0 0 18 44 32 6
+4 0 0 0 0 18 46 32 6.6
+4 0 0 0 0 18 48 32 7.2
+4 0 0 0 0 18 50 32 7.8
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 -3.3
+5 0 1 0 0 18 14 32 -3
+5 0 1 0 0 18 15 32 -2.7
+5 0 1 0 0 18 16 32 -2.4
+5 0 1 0 0 18 17 32 -2.1
+5 0 1 0 0 18 18 32 -1.8
+5 0 1 0 0 18 19 32 -1.5
+5 0 1 0 0 18 20 32 -1.2
+5 0 1 0 0 18 21 32 -0.9
+5 0 1 0 0 18 22 32 -0.6
+5 0 1 0 0 18 23 32 -0.3
+5 0 1 0 0 18 24 32 -4.44089209850063e-16
+5 0 1 0 0 18 25 32 0.3
+5 0 1 0 0 18 26 32 0.6
+5 0 1 0 0 18 27 32 0.899999999999999
+5 0 1 0 0 18 28 32 1.2
+5 0 1 0 0 18 29 32 1.5
+5 0 1 0 0 18 30 32 1.8
+5 0 1 0 0 18 31 32 2.1
+5 0 1 0 0 18 32 32 2.4
+5 0 1 0 0 18 33 32 2.7
+5 0 1 0 0 18 34 32 3
+5 0 1 0 0 18 35 32 3.3
+5 0 1 0 0 18 36 32 3.6
+5 0 1 0 0 18 37 32 3.9
+5 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 -3.3
+6 0 1 0 0 18 14 32 -3
+6 0 1 0 0 18 15 32 -2.7
+6 0 1 0 0 18 16 32 -2.4
+6 0 1 0 0 18 17 32 -2.1
+6 0 1 0 0 18 18 32 -1.8
+6 0 1 0 0 18 19 32 -1.5
+6 0 1 0 0 18 20 32 -1.2
+6 0 1 0 0 18 21 32 -0.9
+6 0 1 0 0 18 22 32 -0.6
+6 0 1 0 0 18 23 32 -0.3
+6 0 1 0 0 18 24 32 -4.44089209850063e-16
+6 0 1 0 0 18 25 32 0.3
+6 0 1 0 0 18 26 32 0.6
+6 0 1 0 0 18 27 32 0.899999999999999
+6 0 1 0 0 18 28 32 1.2
+6 0 1 0 0 18 29 32 1.5
+6 0 1 0 0 18 30 32 1.8
+6 0 1 0 0 18 31 32 2.1
+6 0 1 0 0 18 32 32 2.4
+6 0 1 0 0 18 33 32 2.7
+6 0 1 0 0 18 34 32 3
+6 0 1 0 0 18 35 32 3.3
+6 0 1 0 0 18 36 32 3.6
+6 0 1 0 0 18 37 32 3.9
+6 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 -7.2
+6 0 0 0 0 18 2 32 -6.6
+6 0 0 0 0 18 4 32 -6
+6 0 0 0 0 18 6 32 -5.4
+6 0 0 0 0 18 8 32 -4.8
+6 0 0 0 0 18 10 32 -4.2
+6 0 0 0 0 18 12 32 -3.6
+6 0 0 0 0 18 14 32 -3
+6 0 0 0 0 18 16 32 -2.4
+6 0 0 0 0 18 18 32 -1.8
+6 0 0 0 0 18 20 32 -1.2
+6 0 0 0 0 18 22 32 -0.6
+6 0 0 0 0 18 24 32 -4.44089209850063e-16
+6 0 0 0 0 18 26 32 0.6
+6 0 0 0 0 18 28 32 1.2
+6 0 0 0 0 18 30 32 1.8
+6 0 0 0 0 18 32 32 2.4
+6 0 0 0 0 18 34 32 3
+6 0 0 0 0 18 36 32 3.6
+6 0 0 0 0 18 38 32 4.2
+6 0 0 0 0 18 40 32 4.8
+6 0 0 0 0 18 42 32 5.4
+6 0 0 0 0 18 44 32 6
+6 0 0 0 0 18 46 32 6.6
+6 0 0 0 0 18 48 32 7.2
+6 0 0 0 0 18 50 32 7.8
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 -3.3
+7 0 1 0 0 18 14 32 -3
+7 0 1 0 0 18 15 32 -2.7
+7 0 1 0 0 18 16 32 -2.4
+7 0 1 0 0 18 17 32 -2.1
+7 0 1 0 0 18 18 32 -1.8
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+7 0 1 0 0 18 22 32 -0.6
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+7 0 1 0 0 18 29 32 1.5
+7 0 1 0 0 18 30 32 1.8
+7 0 1 0 0 18 31 32 2.1
+7 0 1 0 0 18 32 32 2.4
+7 0 1 0 0 18 33 32 2.7
+7 0 1 0 0 18 34 32 3
+7 0 1 0 0 18 35 32 3.3
+7 0 1 0 0 18 36 32 3.6
+7 0 1 0 0 18 37 32 3.9
+7 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 -3.3
+8 0 1 0 0 18 14 32 -3
+8 0 1 0 0 18 15 32 -2.7
+8 0 1 0 0 18 16 32 -2.4
+8 0 1 0 0 18 17 32 -2.1
+8 0 1 0 0 18 18 32 -1.8
+8 0 1 0 0 18 19 32 -1.5
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+8 0 1 0 0 18 22 32 -0.6
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+8 0 1 0 0 18 25 32 0.3
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+8 0 1 0 0 18 27 32 0.899999999999999
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+8 0 1 0 0 18 29 32 1.5
+8 0 1 0 0 18 30 32 1.8
+8 0 1 0 0 18 31 32 2.1
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+8 0 1 0 0 18 33 32 2.7
+8 0 1 0 0 18 34 32 3
+8 0 1 0 0 18 35 32 3.3
+8 0 1 0 0 18 36 32 3.6
+8 0 1 0 0 18 37 32 3.9
+8 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -7.2
+8 0 0 0 0 18 2 32 -6.6
+8 0 0 0 0 18 4 32 -6
+8 0 0 0 0 18 6 32 -5.4
+8 0 0 0 0 18 8 32 -4.8
+8 0 0 0 0 18 10 32 -4.2
+8 0 0 0 0 18 12 32 -3.6
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+8 0 0 0 0 18 20 32 -1.2
+8 0 0 0 0 18 22 32 -0.6
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+8 0 0 0 0 18 26 32 0.6
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+8 0 0 0 0 18 30 32 1.8
+8 0 0 0 0 18 32 32 2.4
+8 0 0 0 0 18 34 32 3
+8 0 0 0 0 18 36 32 3.6
+8 0 0 0 0 18 38 32 4.2
+8 0 0 0 0 18 40 32 4.8
+8 0 0 0 0 18 42 32 5.4
+8 0 0 0 0 18 44 32 6
+8 0 0 0 0 18 46 32 6.6
+8 0 0 0 0 18 48 32 7.2
+8 0 0 0 0 18 50 32 7.8
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 -3.3
+9 0 1 0 0 18 14 32 -3
+9 0 1 0 0 18 15 32 -2.7
+9 0 1 0 0 18 16 32 -2.4
+9 0 1 0 0 18 17 32 -2.1
+9 0 1 0 0 18 18 32 -1.8
+9 0 1 0 0 18 19 32 -1.5
+9 0 1 0 0 18 20 32 -1.2
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+9 0 1 0 0 18 23 32 -0.3
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+9 0 1 0 0 18 25 32 0.3
+9 0 1 0 0 18 26 32 0.6
+9 0 1 0 0 18 27 32 0.899999999999999
+9 0 1 0 0 18 28 32 1.2
+9 0 1 0 0 18 29 32 1.5
+9 0 1 0 0 18 30 32 1.8
+9 0 1 0 0 18 31 32 2.1
+9 0 1 0 0 18 32 32 2.4
+9 0 1 0 0 18 33 32 2.7
+9 0 1 0 0 18 34 32 3
+9 0 1 0 0 18 35 32 3.3
+9 0 1 0 0 18 36 32 3.6
+9 0 1 0 0 18 37 32 3.9
+9 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 -3.3
+10 0 1 0 0 18 14 32 -3
+10 0 1 0 0 18 15 32 -2.7
+10 0 1 0 0 18 16 32 -2.4
+10 0 1 0 0 18 17 32 -2.1
+10 0 1 0 0 18 18 32 -1.8
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+10 0 1 0 0 18 20 32 -1.2
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+10 0 1 0 0 18 24 32 -4.44089209850063e-16
+10 0 1 0 0 18 25 32 0.3
+10 0 1 0 0 18 26 32 0.6
+10 0 1 0 0 18 27 32 0.899999999999999
+10 0 1 0 0 18 28 32 1.2
+10 0 1 0 0 18 29 32 1.5
+10 0 1 0 0 18 30 32 1.8
+10 0 1 0 0 18 31 32 2.1
+10 0 1 0 0 18 32 32 2.4
+10 0 1 0 0 18 33 32 2.7
+10 0 1 0 0 18 34 32 3
+10 0 1 0 0 18 35 32 3.3
+10 0 1 0 0 18 36 32 3.6
+10 0 1 0 0 18 37 32 3.9
+10 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -7.2
+10 0 0 0 0 18 2 32 -6.6
+10 0 0 0 0 18 4 32 -6
+10 0 0 0 0 18 6 32 -5.4
+10 0 0 0 0 18 8 32 -4.8
+10 0 0 0 0 18 10 32 -4.2
+10 0 0 0 0 18 12 32 -3.6
+10 0 0 0 0 18 14 32 -3
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+10 0 0 0 0 18 34 32 3
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+10 0 0 0 0 18 38 32 4.2
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+10 0 0 0 0 18 42 32 5.4
+10 0 0 0 0 18 44 32 6
+10 0 0 0 0 18 46 32 6.6
+10 0 0 0 0 18 48 32 7.2
+10 0 0 0 0 18 50 32 7.8
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 -3.3
+11 0 1 0 0 18 14 32 -3
+11 0 1 0 0 18 15 32 -2.7
+11 0 1 0 0 18 16 32 -2.4
+11 0 1 0 0 18 17 32 -2.1
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+11 0 1 0 0 18 25 32 0.3
+11 0 1 0 0 18 26 32 0.6
+11 0 1 0 0 18 27 32 0.899999999999999
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+11 0 1 0 0 18 29 32 1.5
+11 0 1 0 0 18 30 32 1.8
+11 0 1 0 0 18 31 32 2.1
+11 0 1 0 0 18 32 32 2.4
+11 0 1 0 0 18 33 32 2.7
+11 0 1 0 0 18 34 32 3
+11 0 1 0 0 18 35 32 3.3
+11 0 1 0 0 18 36 32 3.6
+11 0 1 0 0 18 37 32 3.9
+11 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 -3.3
+12 0 1 0 0 18 14 32 -3
+12 0 1 0 0 18 15 32 -2.7
+12 0 1 0 0 18 16 32 -2.4
+12 0 1 0 0 18 17 32 -2.1
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+12 0 1 0 0 18 25 32 0.3
+12 0 1 0 0 18 26 32 0.6
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+12 0 1 0 0 18 28 32 1.2
+12 0 1 0 0 18 29 32 1.5
+12 0 1 0 0 18 30 32 1.8
+12 0 1 0 0 18 31 32 2.1
+12 0 1 0 0 18 32 32 2.4
+12 0 1 0 0 18 33 32 2.7
+12 0 1 0 0 18 34 32 3
+12 0 1 0 0 18 35 32 3.3
+12 0 1 0 0 18 36 32 3.6
+12 0 1 0 0 18 37 32 3.9
+12 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 -7.2
+12 0 0 0 0 18 2 32 -6.6
+12 0 0 0 0 18 4 32 -6
+12 0 0 0 0 18 6 32 -5.4
+12 0 0 0 0 18 8 32 -4.8
+12 0 0 0 0 18 10 32 -4.2
+12 0 0 0 0 18 12 32 -3.6
+12 0 0 0 0 18 14 32 -3
+12 0 0 0 0 18 16 32 -2.4
+12 0 0 0 0 18 18 32 -1.8
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+12 0 0 0 0 18 22 32 -0.6
+12 0 0 0 0 18 24 32 -4.44089209850063e-16
+12 0 0 0 0 18 26 32 0.6
+12 0 0 0 0 18 28 32 1.2
+12 0 0 0 0 18 30 32 1.8
+12 0 0 0 0 18 32 32 2.4
+12 0 0 0 0 18 34 32 3
+12 0 0 0 0 18 36 32 3.6
+12 0 0 0 0 18 38 32 4.2
+12 0 0 0 0 18 40 32 4.8
+12 0 0 0 0 18 42 32 5.4
+12 0 0 0 0 18 44 32 6
+12 0 0 0 0 18 46 32 6.6
+12 0 0 0 0 18 48 32 7.2
+12 0 0 0 0 18 50 32 7.8
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.zl
new file mode 100644
index 000000000..ef19addd3
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_y.zl
@@ -0,0 +1,782 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -4.44089209850063e-16
+0 0 1 0 0 18 24 18 -4.44089209850063e-16
+0 0 1 0 0 18 24 19 -4.44089209850063e-16
+0 0 1 0 0 18 24 20 -4.44089209850063e-16
+0 0 1 0 0 18 24 21 -4.44089209850063e-16
+0 0 1 0 0 18 24 22 -4.44089209850063e-16
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+0 0 1 0 0 18 24 28 -4.44089209850063e-16
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+0 0 1 0 0 18 24 32 -4.44089209850063e-16
+0 0 1 0 0 18 24 33 -4.44089209850063e-16
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+0 0 1 0 0 18 24 35 -4.44089209850063e-16
+0 0 1 0 0 18 24 36 -4.44089209850063e-16
+0 0 1 0 0 18 24 37 -4.44089209850063e-16
+0 0 1 0 0 18 24 38 -4.44089209850063e-16
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+0 0 1 0 0 18 24 42 -4.44089209850063e-16
+0 0 1 0 0 18 24 43 -4.44089209850063e-16
+0 0 1 0 0 18 24 44 -4.44089209850063e-16
+0 0 1 0 0 18 24 45 -4.44089209850063e-16
+0 0 1 0 0 18 24 46 -4.44089209850063e-16
+0 0 1 0 0 18 24 47 -4.44089209850063e-16
+0 0 1 0 0 18 24 48 -4.44089209850063e-16
+0 0 1 0 0 18 24 49 -4.44089209850063e-16
+0 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 -4.44089209850063e-16
+0 0 0 0 0 18 24 2 -4.44089209850063e-16
+0 0 0 0 0 18 24 4 -4.44089209850063e-16
+0 0 0 0 0 18 24 6 -4.44089209850063e-16
+0 0 0 0 0 18 24 8 -4.44089209850063e-16
+0 0 0 0 0 18 24 10 -4.44089209850063e-16
+0 0 0 0 0 18 24 12 -4.44089209850063e-16
+0 0 0 0 0 18 24 14 -4.44089209850063e-16
+0 0 0 0 0 18 24 16 -4.44089209850063e-16
+0 0 0 0 0 18 24 18 -4.44089209850063e-16
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+0 0 0 0 0 18 24 22 -4.44089209850063e-16
+0 0 0 0 0 18 24 24 -4.44089209850063e-16
+0 0 0 0 0 18 24 26 -4.44089209850063e-16
+0 0 0 0 0 18 24 28 -4.44089209850063e-16
+0 0 0 0 0 18 24 30 -4.44089209850063e-16
+0 0 0 0 0 18 24 32 -4.44089209850063e-16
+0 0 0 0 0 18 24 34 -4.44089209850063e-16
+0 0 0 0 0 18 24 36 -4.44089209850063e-16
+0 0 0 0 0 18 24 38 -4.44089209850063e-16
+0 0 0 0 0 18 24 40 -4.44089209850063e-16
+0 0 0 0 0 18 24 42 -4.44089209850063e-16
+0 0 0 0 0 18 24 44 -4.44089209850063e-16
+0 0 0 0 0 18 24 46 -4.44089209850063e-16
+0 0 0 0 0 18 24 48 -4.44089209850063e-16
+0 0 0 0 0 18 24 50 -4.44089209850063e-16
+0 0 0 0 0 18 24 52 -4.44089209850063e-16
+0 0 0 0 0 18 24 54 -4.44089209850063e-16
+0 0 0 0 0 18 24 56 -4.44089209850063e-16
+0 0 0 0 0 18 24 58 -4.44089209850063e-16
+0 0 0 0 0 18 24 60 -4.44089209850063e-16
+0 0 0 0 0 18 24 62 -4.44089209850063e-16
+0 0 0 0 0 18 24 64 -4.44089209850063e-16
+0 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -4.44089209850063e-16
+1 0 1 0 0 18 24 18 -4.44089209850063e-16
+1 0 1 0 0 18 24 19 -4.44089209850063e-16
+1 0 1 0 0 18 24 20 -4.44089209850063e-16
+1 0 1 0 0 18 24 21 -4.44089209850063e-16
+1 0 1 0 0 18 24 22 -4.44089209850063e-16
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+1 0 1 0 0 18 24 25 -4.44089209850063e-16
+1 0 1 0 0 18 24 26 -4.44089209850063e-16
+1 0 1 0 0 18 24 27 -4.44089209850063e-16
+1 0 1 0 0 18 24 28 -4.44089209850063e-16
+1 0 1 0 0 18 24 29 -4.44089209850063e-16
+1 0 1 0 0 18 24 30 -4.44089209850063e-16
+1 0 1 0 0 18 24 31 -4.44089209850063e-16
+1 0 1 0 0 18 24 32 -4.44089209850063e-16
+1 0 1 0 0 18 24 33 -4.44089209850063e-16
+1 0 1 0 0 18 24 34 -4.44089209850063e-16
+1 0 1 0 0 18 24 35 -4.44089209850063e-16
+1 0 1 0 0 18 24 36 -4.44089209850063e-16
+1 0 1 0 0 18 24 37 -4.44089209850063e-16
+1 0 1 0 0 18 24 38 -4.44089209850063e-16
+1 0 1 0 0 18 24 39 -4.44089209850063e-16
+1 0 1 0 0 18 24 40 -4.44089209850063e-16
+1 0 1 0 0 18 24 41 -4.44089209850063e-16
+1 0 1 0 0 18 24 42 -4.44089209850063e-16
+1 0 1 0 0 18 24 43 -4.44089209850063e-16
+1 0 1 0 0 18 24 44 -4.44089209850063e-16
+1 0 1 0 0 18 24 45 -4.44089209850063e-16
+1 0 1 0 0 18 24 46 -4.44089209850063e-16
+1 0 1 0 0 18 24 47 -4.44089209850063e-16
+1 0 1 0 0 18 24 48 -4.44089209850063e-16
+1 0 1 0 0 18 24 49 -4.44089209850063e-16
+1 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -4.44089209850063e-16
+2 0 1 0 0 18 24 18 -4.44089209850063e-16
+2 0 1 0 0 18 24 19 -4.44089209850063e-16
+2 0 1 0 0 18 24 20 -4.44089209850063e-16
+2 0 1 0 0 18 24 21 -4.44089209850063e-16
+2 0 1 0 0 18 24 22 -4.44089209850063e-16
+2 0 1 0 0 18 24 23 -4.44089209850063e-16
+2 0 1 0 0 18 24 24 -4.44089209850063e-16
+2 0 1 0 0 18 24 25 -4.44089209850063e-16
+2 0 1 0 0 18 24 26 -4.44089209850063e-16
+2 0 1 0 0 18 24 27 -4.44089209850063e-16
+2 0 1 0 0 18 24 28 -4.44089209850063e-16
+2 0 1 0 0 18 24 29 -4.44089209850063e-16
+2 0 1 0 0 18 24 30 -4.44089209850063e-16
+2 0 1 0 0 18 24 31 -4.44089209850063e-16
+2 0 1 0 0 18 24 32 -4.44089209850063e-16
+2 0 1 0 0 18 24 33 -4.44089209850063e-16
+2 0 1 0 0 18 24 34 -4.44089209850063e-16
+2 0 1 0 0 18 24 35 -4.44089209850063e-16
+2 0 1 0 0 18 24 36 -4.44089209850063e-16
+2 0 1 0 0 18 24 37 -4.44089209850063e-16
+2 0 1 0 0 18 24 38 -4.44089209850063e-16
+2 0 1 0 0 18 24 39 -4.44089209850063e-16
+2 0 1 0 0 18 24 40 -4.44089209850063e-16
+2 0 1 0 0 18 24 41 -4.44089209850063e-16
+2 0 1 0 0 18 24 42 -4.44089209850063e-16
+2 0 1 0 0 18 24 43 -4.44089209850063e-16
+2 0 1 0 0 18 24 44 -4.44089209850063e-16
+2 0 1 0 0 18 24 45 -4.44089209850063e-16
+2 0 1 0 0 18 24 46 -4.44089209850063e-16
+2 0 1 0 0 18 24 47 -4.44089209850063e-16
+2 0 1 0 0 18 24 48 -4.44089209850063e-16
+2 0 1 0 0 18 24 49 -4.44089209850063e-16
+2 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 -4.44089209850063e-16
+2 0 0 0 0 18 24 2 -4.44089209850063e-16
+2 0 0 0 0 18 24 4 -4.44089209850063e-16
+2 0 0 0 0 18 24 6 -4.44089209850063e-16
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+2 0 0 0 0 18 24 14 -4.44089209850063e-16
+2 0 0 0 0 18 24 16 -4.44089209850063e-16
+2 0 0 0 0 18 24 18 -4.44089209850063e-16
+2 0 0 0 0 18 24 20 -4.44089209850063e-16
+2 0 0 0 0 18 24 22 -4.44089209850063e-16
+2 0 0 0 0 18 24 24 -4.44089209850063e-16
+2 0 0 0 0 18 24 26 -4.44089209850063e-16
+2 0 0 0 0 18 24 28 -4.44089209850063e-16
+2 0 0 0 0 18 24 30 -4.44089209850063e-16
+2 0 0 0 0 18 24 32 -4.44089209850063e-16
+2 0 0 0 0 18 24 34 -4.44089209850063e-16
+2 0 0 0 0 18 24 36 -4.44089209850063e-16
+2 0 0 0 0 18 24 38 -4.44089209850063e-16
+2 0 0 0 0 18 24 40 -4.44089209850063e-16
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+2 0 0 0 0 18 24 64 -4.44089209850063e-16
+2 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -4.44089209850063e-16
+3 0 1 0 0 18 24 18 -4.44089209850063e-16
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+3 0 1 0 0 18 24 49 -4.44089209850063e-16
+3 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -4.44089209850063e-16
+4 0 1 0 0 18 24 18 -4.44089209850063e-16
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+4 0 1 0 0 18 24 49 -4.44089209850063e-16
+4 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 -4.44089209850063e-16
+4 0 0 0 0 18 24 2 -4.44089209850063e-16
+4 0 0 0 0 18 24 4 -4.44089209850063e-16
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+4 0 0 0 0 18 24 64 -4.44089209850063e-16
+4 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -4.44089209850063e-16
+5 0 1 0 0 18 24 18 -4.44089209850063e-16
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+5 0 1 0 0 18 24 49 -4.44089209850063e-16
+5 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -4.44089209850063e-16
+6 0 1 0 0 18 24 18 -4.44089209850063e-16
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+6 0 1 0 0 18 24 49 -4.44089209850063e-16
+6 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 -4.44089209850063e-16
+6 0 0 0 0 18 24 2 -4.44089209850063e-16
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+6 0 0 0 0 18 24 64 -4.44089209850063e-16
+6 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -4.44089209850063e-16
+7 0 1 0 0 18 24 18 -4.44089209850063e-16
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+7 0 1 0 0 18 24 49 -4.44089209850063e-16
+7 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -4.44089209850063e-16
+8 0 1 0 0 18 24 18 -4.44089209850063e-16
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+8 0 1 0 0 18 24 49 -4.44089209850063e-16
+8 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 -4.44089209850063e-16
+8 0 0 0 0 18 24 2 -4.44089209850063e-16
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+8 0 0 0 0 18 24 64 -4.44089209850063e-16
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+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -4.44089209850063e-16
+9 0 1 0 0 18 24 18 -4.44089209850063e-16
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+9 0 1 0 0 18 24 30 -4.44089209850063e-16
+9 0 1 0 0 18 24 31 -4.44089209850063e-16
+9 0 1 0 0 18 24 32 -4.44089209850063e-16
+9 0 1 0 0 18 24 33 -4.44089209850063e-16
+9 0 1 0 0 18 24 34 -4.44089209850063e-16
+9 0 1 0 0 18 24 35 -4.44089209850063e-16
+9 0 1 0 0 18 24 36 -4.44089209850063e-16
+9 0 1 0 0 18 24 37 -4.44089209850063e-16
+9 0 1 0 0 18 24 38 -4.44089209850063e-16
+9 0 1 0 0 18 24 39 -4.44089209850063e-16
+9 0 1 0 0 18 24 40 -4.44089209850063e-16
+9 0 1 0 0 18 24 41 -4.44089209850063e-16
+9 0 1 0 0 18 24 42 -4.44089209850063e-16
+9 0 1 0 0 18 24 43 -4.44089209850063e-16
+9 0 1 0 0 18 24 44 -4.44089209850063e-16
+9 0 1 0 0 18 24 45 -4.44089209850063e-16
+9 0 1 0 0 18 24 46 -4.44089209850063e-16
+9 0 1 0 0 18 24 47 -4.44089209850063e-16
+9 0 1 0 0 18 24 48 -4.44089209850063e-16
+9 0 1 0 0 18 24 49 -4.44089209850063e-16
+9 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 -4.44089209850063e-16
+10 0 1 0 0 18 24 18 -4.44089209850063e-16
+10 0 1 0 0 18 24 19 -4.44089209850063e-16
+10 0 1 0 0 18 24 20 -4.44089209850063e-16
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+10 0 1 0 0 18 24 22 -4.44089209850063e-16
+10 0 1 0 0 18 24 23 -4.44089209850063e-16
+10 0 1 0 0 18 24 24 -4.44089209850063e-16
+10 0 1 0 0 18 24 25 -4.44089209850063e-16
+10 0 1 0 0 18 24 26 -4.44089209850063e-16
+10 0 1 0 0 18 24 27 -4.44089209850063e-16
+10 0 1 0 0 18 24 28 -4.44089209850063e-16
+10 0 1 0 0 18 24 29 -4.44089209850063e-16
+10 0 1 0 0 18 24 30 -4.44089209850063e-16
+10 0 1 0 0 18 24 31 -4.44089209850063e-16
+10 0 1 0 0 18 24 32 -4.44089209850063e-16
+10 0 1 0 0 18 24 33 -4.44089209850063e-16
+10 0 1 0 0 18 24 34 -4.44089209850063e-16
+10 0 1 0 0 18 24 35 -4.44089209850063e-16
+10 0 1 0 0 18 24 36 -4.44089209850063e-16
+10 0 1 0 0 18 24 37 -4.44089209850063e-16
+10 0 1 0 0 18 24 38 -4.44089209850063e-16
+10 0 1 0 0 18 24 39 -4.44089209850063e-16
+10 0 1 0 0 18 24 40 -4.44089209850063e-16
+10 0 1 0 0 18 24 41 -4.44089209850063e-16
+10 0 1 0 0 18 24 42 -4.44089209850063e-16
+10 0 1 0 0 18 24 43 -4.44089209850063e-16
+10 0 1 0 0 18 24 44 -4.44089209850063e-16
+10 0 1 0 0 18 24 45 -4.44089209850063e-16
+10 0 1 0 0 18 24 46 -4.44089209850063e-16
+10 0 1 0 0 18 24 47 -4.44089209850063e-16
+10 0 1 0 0 18 24 48 -4.44089209850063e-16
+10 0 1 0 0 18 24 49 -4.44089209850063e-16
+10 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 -4.44089209850063e-16
+10 0 0 0 0 18 24 2 -4.44089209850063e-16
+10 0 0 0 0 18 24 4 -4.44089209850063e-16
+10 0 0 0 0 18 24 6 -4.44089209850063e-16
+10 0 0 0 0 18 24 8 -4.44089209850063e-16
+10 0 0 0 0 18 24 10 -4.44089209850063e-16
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+10 0 0 0 0 18 24 16 -4.44089209850063e-16
+10 0 0 0 0 18 24 18 -4.44089209850063e-16
+10 0 0 0 0 18 24 20 -4.44089209850063e-16
+10 0 0 0 0 18 24 22 -4.44089209850063e-16
+10 0 0 0 0 18 24 24 -4.44089209850063e-16
+10 0 0 0 0 18 24 26 -4.44089209850063e-16
+10 0 0 0 0 18 24 28 -4.44089209850063e-16
+10 0 0 0 0 18 24 30 -4.44089209850063e-16
+10 0 0 0 0 18 24 32 -4.44089209850063e-16
+10 0 0 0 0 18 24 34 -4.44089209850063e-16
+10 0 0 0 0 18 24 36 -4.44089209850063e-16
+10 0 0 0 0 18 24 38 -4.44089209850063e-16
+10 0 0 0 0 18 24 40 -4.44089209850063e-16
+10 0 0 0 0 18 24 42 -4.44089209850063e-16
+10 0 0 0 0 18 24 44 -4.44089209850063e-16
+10 0 0 0 0 18 24 46 -4.44089209850063e-16
+10 0 0 0 0 18 24 48 -4.44089209850063e-16
+10 0 0 0 0 18 24 50 -4.44089209850063e-16
+10 0 0 0 0 18 24 52 -4.44089209850063e-16
+10 0 0 0 0 18 24 54 -4.44089209850063e-16
+10 0 0 0 0 18 24 56 -4.44089209850063e-16
+10 0 0 0 0 18 24 58 -4.44089209850063e-16
+10 0 0 0 0 18 24 60 -4.44089209850063e-16
+10 0 0 0 0 18 24 62 -4.44089209850063e-16
+10 0 0 0 0 18 24 64 -4.44089209850063e-16
+10 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 -4.44089209850063e-16
+11 0 1 0 0 18 24 18 -4.44089209850063e-16
+11 0 1 0 0 18 24 19 -4.44089209850063e-16
+11 0 1 0 0 18 24 20 -4.44089209850063e-16
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+11 0 1 0 0 18 24 23 -4.44089209850063e-16
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+11 0 1 0 0 18 24 25 -4.44089209850063e-16
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+11 0 1 0 0 18 24 27 -4.44089209850063e-16
+11 0 1 0 0 18 24 28 -4.44089209850063e-16
+11 0 1 0 0 18 24 29 -4.44089209850063e-16
+11 0 1 0 0 18 24 30 -4.44089209850063e-16
+11 0 1 0 0 18 24 31 -4.44089209850063e-16
+11 0 1 0 0 18 24 32 -4.44089209850063e-16
+11 0 1 0 0 18 24 33 -4.44089209850063e-16
+11 0 1 0 0 18 24 34 -4.44089209850063e-16
+11 0 1 0 0 18 24 35 -4.44089209850063e-16
+11 0 1 0 0 18 24 36 -4.44089209850063e-16
+11 0 1 0 0 18 24 37 -4.44089209850063e-16
+11 0 1 0 0 18 24 38 -4.44089209850063e-16
+11 0 1 0 0 18 24 39 -4.44089209850063e-16
+11 0 1 0 0 18 24 40 -4.44089209850063e-16
+11 0 1 0 0 18 24 41 -4.44089209850063e-16
+11 0 1 0 0 18 24 42 -4.44089209850063e-16
+11 0 1 0 0 18 24 43 -4.44089209850063e-16
+11 0 1 0 0 18 24 44 -4.44089209850063e-16
+11 0 1 0 0 18 24 45 -4.44089209850063e-16
+11 0 1 0 0 18 24 46 -4.44089209850063e-16
+11 0 1 0 0 18 24 47 -4.44089209850063e-16
+11 0 1 0 0 18 24 48 -4.44089209850063e-16
+11 0 1 0 0 18 24 49 -4.44089209850063e-16
+11 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 -4.44089209850063e-16
+12 0 1 0 0 18 24 18 -4.44089209850063e-16
+12 0 1 0 0 18 24 19 -4.44089209850063e-16
+12 0 1 0 0 18 24 20 -4.44089209850063e-16
+12 0 1 0 0 18 24 21 -4.44089209850063e-16
+12 0 1 0 0 18 24 22 -4.44089209850063e-16
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+12 0 1 0 0 18 24 25 -4.44089209850063e-16
+12 0 1 0 0 18 24 26 -4.44089209850063e-16
+12 0 1 0 0 18 24 27 -4.44089209850063e-16
+12 0 1 0 0 18 24 28 -4.44089209850063e-16
+12 0 1 0 0 18 24 29 -4.44089209850063e-16
+12 0 1 0 0 18 24 30 -4.44089209850063e-16
+12 0 1 0 0 18 24 31 -4.44089209850063e-16
+12 0 1 0 0 18 24 32 -4.44089209850063e-16
+12 0 1 0 0 18 24 33 -4.44089209850063e-16
+12 0 1 0 0 18 24 34 -4.44089209850063e-16
+12 0 1 0 0 18 24 35 -4.44089209850063e-16
+12 0 1 0 0 18 24 36 -4.44089209850063e-16
+12 0 1 0 0 18 24 37 -4.44089209850063e-16
+12 0 1 0 0 18 24 38 -4.44089209850063e-16
+12 0 1 0 0 18 24 39 -4.44089209850063e-16
+12 0 1 0 0 18 24 40 -4.44089209850063e-16
+12 0 1 0 0 18 24 41 -4.44089209850063e-16
+12 0 1 0 0 18 24 42 -4.44089209850063e-16
+12 0 1 0 0 18 24 43 -4.44089209850063e-16
+12 0 1 0 0 18 24 44 -4.44089209850063e-16
+12 0 1 0 0 18 24 45 -4.44089209850063e-16
+12 0 1 0 0 18 24 46 -4.44089209850063e-16
+12 0 1 0 0 18 24 47 -4.44089209850063e-16
+12 0 1 0 0 18 24 48 -4.44089209850063e-16
+12 0 1 0 0 18 24 49 -4.44089209850063e-16
+12 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 -4.44089209850063e-16
+12 0 0 0 0 18 24 2 -4.44089209850063e-16
+12 0 0 0 0 18 24 4 -4.44089209850063e-16
+12 0 0 0 0 18 24 6 -4.44089209850063e-16
+12 0 0 0 0 18 24 8 -4.44089209850063e-16
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+12 0 0 0 0 18 24 12 -4.44089209850063e-16
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+12 0 0 0 0 18 24 18 -4.44089209850063e-16
+12 0 0 0 0 18 24 20 -4.44089209850063e-16
+12 0 0 0 0 18 24 22 -4.44089209850063e-16
+12 0 0 0 0 18 24 24 -4.44089209850063e-16
+12 0 0 0 0 18 24 26 -4.44089209850063e-16
+12 0 0 0 0 18 24 28 -4.44089209850063e-16
+12 0 0 0 0 18 24 30 -4.44089209850063e-16
+12 0 0 0 0 18 24 32 -4.44089209850063e-16
+12 0 0 0 0 18 24 34 -4.44089209850063e-16
+12 0 0 0 0 18 24 36 -4.44089209850063e-16
+12 0 0 0 0 18 24 38 -4.44089209850063e-16
+12 0 0 0 0 18 24 40 -4.44089209850063e-16
+12 0 0 0 0 18 24 42 -4.44089209850063e-16
+12 0 0 0 0 18 24 44 -4.44089209850063e-16
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+12 0 0 0 0 18 24 48 -4.44089209850063e-16
+12 0 0 0 0 18 24 50 -4.44089209850063e-16
+12 0 0 0 0 18 24 52 -4.44089209850063e-16
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+12 0 0 0 0 18 24 56 -4.44089209850063e-16
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+12 0 0 0 0 18 24 60 -4.44089209850063e-16
+12 0 0 0 0 18 24 62 -4.44089209850063e-16
+12 0 0 0 0 18 24 64 -4.44089209850063e-16
+12 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.xl
new file mode 100644
index 000000000..fa9b8b7a7
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.xl
@@ -0,0 +1,482 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 0
+0 0 1 0 0 10 24 32 0
+0 0 1 0 0 11 24 32 0
+0 0 1 0 0 12 24 32 0
+0 0 1 0 0 13 24 32 0
+0 0 1 0 0 14 24 32 0
+0 0 1 0 0 15 24 32 0
+0 0 1 0 0 16 24 32 0
+0 0 1 0 0 17 24 32 0
+0 0 1 0 0 18 24 32 0
+0 0 1 0 0 19 24 32 0
+0 0 1 0 0 20 24 32 0
+0 0 1 0 0 21 24 32 0
+0 0 1 0 0 22 24 32 0
+0 0 1 0 0 23 24 32 0
+0 0 1 0 0 24 24 32 0
+0 0 1 0 0 25 24 32 0
+0 0 1 0 0 26 24 32 0
+0 0 1 0 0 27 24 32 0
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 0
+0 0 0 0 0 2 24 32 0
+0 0 0 0 0 4 24 32 0
+0 0 0 0 0 6 24 32 0
+0 0 0 0 0 8 24 32 0
+0 0 0 0 0 10 24 32 0
+0 0 0 0 0 12 24 32 0
+0 0 0 0 0 14 24 32 0
+0 0 0 0 0 16 24 32 0
+0 0 0 0 0 18 24 32 0
+0 0 0 0 0 20 24 32 0
+0 0 0 0 0 22 24 32 0
+0 0 0 0 0 24 24 32 0
+0 0 0 0 0 26 24 32 0
+0 0 0 0 0 28 24 32 0
+0 0 0 0 0 30 24 32 0
+0 0 0 0 0 32 24 32 0
+0 0 0 0 0 34 24 32 0
+0 0 0 0 0 36 24 32 0
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 0
+1 0 1 0 0 10 24 32 0
+1 0 1 0 0 11 24 32 0
+1 0 1 0 0 12 24 32 0
+1 0 1 0 0 13 24 32 0
+1 0 1 0 0 14 24 32 0
+1 0 1 0 0 15 24 32 0
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+1 0 1 0 0 24 24 32 0
+1 0 1 0 0 25 24 32 0
+1 0 1 0 0 26 24 32 0
+1 0 1 0 0 27 24 32 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0
+2 0 1 0 0 10 24 32 0
+2 0 1 0 0 11 24 32 0
+2 0 1 0 0 12 24 32 0
+2 0 1 0 0 13 24 32 0
+2 0 1 0 0 14 24 32 0
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+2 0 1 0 0 24 24 32 0
+2 0 1 0 0 25 24 32 0
+2 0 1 0 0 26 24 32 0
+2 0 1 0 0 27 24 32 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 0
+2 0 0 0 0 2 24 32 0
+2 0 0 0 0 4 24 32 0
+2 0 0 0 0 6 24 32 0
+2 0 0 0 0 8 24 32 0
+2 0 0 0 0 10 24 32 0
+2 0 0 0 0 12 24 32 0
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+2 0 0 0 0 28 24 32 0
+2 0 0 0 0 30 24 32 0
+2 0 0 0 0 32 24 32 0
+2 0 0 0 0 34 24 32 0
+2 0 0 0 0 36 24 32 0
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0
+3 0 1 0 0 10 24 32 0
+3 0 1 0 0 11 24 32 0
+3 0 1 0 0 12 24 32 0
+3 0 1 0 0 13 24 32 0
+3 0 1 0 0 14 24 32 0
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+3 0 1 0 0 24 24 32 0
+3 0 1 0 0 25 24 32 0
+3 0 1 0 0 26 24 32 0
+3 0 1 0 0 27 24 32 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0
+4 0 1 0 0 10 24 32 0
+4 0 1 0 0 11 24 32 0
+4 0 1 0 0 12 24 32 0
+4 0 1 0 0 13 24 32 0
+4 0 1 0 0 14 24 32 0
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+4 0 1 0 0 24 24 32 0
+4 0 1 0 0 25 24 32 0
+4 0 1 0 0 26 24 32 0
+4 0 1 0 0 27 24 32 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 0
+4 0 0 0 0 2 24 32 0
+4 0 0 0 0 4 24 32 0
+4 0 0 0 0 6 24 32 0
+4 0 0 0 0 8 24 32 0
+4 0 0 0 0 10 24 32 0
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+4 0 0 0 0 30 24 32 0
+4 0 0 0 0 32 24 32 0
+4 0 0 0 0 34 24 32 0
+4 0 0 0 0 36 24 32 0
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0
+5 0 1 0 0 10 24 32 0
+5 0 1 0 0 11 24 32 0
+5 0 1 0 0 12 24 32 0
+5 0 1 0 0 13 24 32 0
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+5 0 1 0 0 25 24 32 0
+5 0 1 0 0 26 24 32 0
+5 0 1 0 0 27 24 32 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0
+6 0 1 0 0 10 24 32 0
+6 0 1 0 0 11 24 32 0
+6 0 1 0 0 12 24 32 0
+6 0 1 0 0 13 24 32 0
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+6 0 1 0 0 24 24 32 0
+6 0 1 0 0 25 24 32 0
+6 0 1 0 0 26 24 32 0
+6 0 1 0 0 27 24 32 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 0
+6 0 0 0 0 2 24 32 0
+6 0 0 0 0 4 24 32 0
+6 0 0 0 0 6 24 32 0
+6 0 0 0 0 8 24 32 0
+6 0 0 0 0 10 24 32 0
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+6 0 0 0 0 32 24 32 0
+6 0 0 0 0 34 24 32 0
+6 0 0 0 0 36 24 32 0
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0
+7 0 1 0 0 10 24 32 0
+7 0 1 0 0 11 24 32 0
+7 0 1 0 0 12 24 32 0
+7 0 1 0 0 13 24 32 0
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+7 0 1 0 0 25 24 32 0
+7 0 1 0 0 26 24 32 0
+7 0 1 0 0 27 24 32 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0
+8 0 1 0 0 10 24 32 0
+8 0 1 0 0 11 24 32 0
+8 0 1 0 0 12 24 32 0
+8 0 1 0 0 13 24 32 0
+8 0 1 0 0 14 24 32 0
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+8 0 1 0 0 23 24 32 0
+8 0 1 0 0 24 24 32 0
+8 0 1 0 0 25 24 32 0
+8 0 1 0 0 26 24 32 0
+8 0 1 0 0 27 24 32 0
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 0
+8 0 0 0 0 2 24 32 0
+8 0 0 0 0 4 24 32 0
+8 0 0 0 0 6 24 32 0
+8 0 0 0 0 8 24 32 0
+8 0 0 0 0 10 24 32 0
+8 0 0 0 0 12 24 32 0
+8 0 0 0 0 14 24 32 0
+8 0 0 0 0 16 24 32 0
+8 0 0 0 0 18 24 32 0
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+8 0 0 0 0 24 24 32 0
+8 0 0 0 0 26 24 32 0
+8 0 0 0 0 28 24 32 0
+8 0 0 0 0 30 24 32 0
+8 0 0 0 0 32 24 32 0
+8 0 0 0 0 34 24 32 0
+8 0 0 0 0 36 24 32 0
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0
+9 0 1 0 0 10 24 32 0
+9 0 1 0 0 11 24 32 0
+9 0 1 0 0 12 24 32 0
+9 0 1 0 0 13 24 32 0
+9 0 1 0 0 14 24 32 0
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+9 0 1 0 0 24 24 32 0
+9 0 1 0 0 25 24 32 0
+9 0 1 0 0 26 24 32 0
+9 0 1 0 0 27 24 32 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0
+10 0 1 0 0 10 24 32 0
+10 0 1 0 0 11 24 32 0
+10 0 1 0 0 12 24 32 0
+10 0 1 0 0 13 24 32 0
+10 0 1 0 0 14 24 32 0
+10 0 1 0 0 15 24 32 0
+10 0 1 0 0 16 24 32 0
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+10 0 1 0 0 23 24 32 0
+10 0 1 0 0 24 24 32 0
+10 0 1 0 0 25 24 32 0
+10 0 1 0 0 26 24 32 0
+10 0 1 0 0 27 24 32 0
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 0
+10 0 0 0 0 2 24 32 0
+10 0 0 0 0 4 24 32 0
+10 0 0 0 0 6 24 32 0
+10 0 0 0 0 8 24 32 0
+10 0 0 0 0 10 24 32 0
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+10 0 0 0 0 30 24 32 0
+10 0 0 0 0 32 24 32 0
+10 0 0 0 0 34 24 32 0
+10 0 0 0 0 36 24 32 0
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0
+11 0 1 0 0 10 24 32 0
+11 0 1 0 0 11 24 32 0
+11 0 1 0 0 12 24 32 0
+11 0 1 0 0 13 24 32 0
+11 0 1 0 0 14 24 32 0
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+11 0 1 0 0 24 24 32 0
+11 0 1 0 0 25 24 32 0
+11 0 1 0 0 26 24 32 0
+11 0 1 0 0 27 24 32 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 0
+12 0 1 0 0 10 24 32 0
+12 0 1 0 0 11 24 32 0
+12 0 1 0 0 12 24 32 0
+12 0 1 0 0 13 24 32 0
+12 0 1 0 0 14 24 32 0
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+12 0 1 0 0 24 24 32 0
+12 0 1 0 0 25 24 32 0
+12 0 1 0 0 26 24 32 0
+12 0 1 0 0 27 24 32 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 0
+12 0 0 0 0 2 24 32 0
+12 0 0 0 0 4 24 32 0
+12 0 0 0 0 6 24 32 0
+12 0 0 0 0 8 24 32 0
+12 0 0 0 0 10 24 32 0
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+12 0 0 0 0 14 24 32 0
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+12 0 0 0 0 28 24 32 0
+12 0 0 0 0 30 24 32 0
+12 0 0 0 0 32 24 32 0
+12 0 0 0 0 34 24 32 0
+12 0 0 0 0 36 24 32 0
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.yl
new file mode 100644
index 000000000..f6a4a5589
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.yl
@@ -0,0 +1,622 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 0
+0 0 1 0 0 18 14 32 0
+0 0 1 0 0 18 15 32 0
+0 0 1 0 0 18 16 32 0
+0 0 1 0 0 18 17 32 0
+0 0 1 0 0 18 18 32 0
+0 0 1 0 0 18 19 32 0
+0 0 1 0 0 18 20 32 0
+0 0 1 0 0 18 21 32 0
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+0 0 1 0 0 18 25 32 0
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+0 0 1 0 0 18 32 32 0
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+0 0 1 0 0 18 34 32 0
+0 0 1 0 0 18 35 32 0
+0 0 1 0 0 18 36 32 0
+0 0 1 0 0 18 37 32 0
+0 0 1 0 0 18 38 32 0
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 0
+0 0 0 0 0 18 2 32 0
+0 0 0 0 0 18 4 32 0
+0 0 0 0 0 18 6 32 0
+0 0 0 0 0 18 8 32 0
+0 0 0 0 0 18 10 32 0
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+0 0 0 0 0 18 44 32 0
+0 0 0 0 0 18 46 32 0
+0 0 0 0 0 18 48 32 0
+0 0 0 0 0 18 50 32 0
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0
+1 0 1 0 0 18 14 32 0
+1 0 1 0 0 18 15 32 0
+1 0 1 0 0 18 16 32 0
+1 0 1 0 0 18 17 32 0
+1 0 1 0 0 18 18 32 0
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+1 0 1 0 0 18 35 32 0
+1 0 1 0 0 18 36 32 0
+1 0 1 0 0 18 37 32 0
+1 0 1 0 0 18 38 32 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0
+2 0 1 0 0 18 14 32 0
+2 0 1 0 0 18 15 32 0
+2 0 1 0 0 18 16 32 0
+2 0 1 0 0 18 17 32 0
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+2 0 1 0 0 18 35 32 0
+2 0 1 0 0 18 36 32 0
+2 0 1 0 0 18 37 32 0
+2 0 1 0 0 18 38 32 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 0
+2 0 0 0 0 18 2 32 0
+2 0 0 0 0 18 4 32 0
+2 0 0 0 0 18 6 32 0
+2 0 0 0 0 18 8 32 0
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+2 0 0 0 0 18 44 32 0
+2 0 0 0 0 18 46 32 0
+2 0 0 0 0 18 48 32 0
+2 0 0 0 0 18 50 32 0
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0
+3 0 1 0 0 18 14 32 0
+3 0 1 0 0 18 15 32 0
+3 0 1 0 0 18 16 32 0
+3 0 1 0 0 18 17 32 0
+3 0 1 0 0 18 18 32 0
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+3 0 1 0 0 18 35 32 0
+3 0 1 0 0 18 36 32 0
+3 0 1 0 0 18 37 32 0
+3 0 1 0 0 18 38 32 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0
+4 0 1 0 0 18 14 32 0
+4 0 1 0 0 18 15 32 0
+4 0 1 0 0 18 16 32 0
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+4 0 1 0 0 18 35 32 0
+4 0 1 0 0 18 36 32 0
+4 0 1 0 0 18 37 32 0
+4 0 1 0 0 18 38 32 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 0
+4 0 0 0 0 18 2 32 0
+4 0 0 0 0 18 4 32 0
+4 0 0 0 0 18 6 32 0
+4 0 0 0 0 18 8 32 0
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+4 0 0 0 0 18 44 32 0
+4 0 0 0 0 18 46 32 0
+4 0 0 0 0 18 48 32 0
+4 0 0 0 0 18 50 32 0
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0
+5 0 1 0 0 18 14 32 0
+5 0 1 0 0 18 15 32 0
+5 0 1 0 0 18 16 32 0
+5 0 1 0 0 18 17 32 0
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+5 0 1 0 0 18 35 32 0
+5 0 1 0 0 18 36 32 0
+5 0 1 0 0 18 37 32 0
+5 0 1 0 0 18 38 32 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0
+6 0 1 0 0 18 14 32 0
+6 0 1 0 0 18 15 32 0
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+6 0 1 0 0 18 35 32 0
+6 0 1 0 0 18 36 32 0
+6 0 1 0 0 18 37 32 0
+6 0 1 0 0 18 38 32 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 0
+6 0 0 0 0 18 2 32 0
+6 0 0 0 0 18 4 32 0
+6 0 0 0 0 18 6 32 0
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+6 0 0 0 0 18 44 32 0
+6 0 0 0 0 18 46 32 0
+6 0 0 0 0 18 48 32 0
+6 0 0 0 0 18 50 32 0
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0
+7 0 1 0 0 18 14 32 0
+7 0 1 0 0 18 15 32 0
+7 0 1 0 0 18 16 32 0
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+7 0 1 0 0 18 35 32 0
+7 0 1 0 0 18 36 32 0
+7 0 1 0 0 18 37 32 0
+7 0 1 0 0 18 38 32 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0
+8 0 1 0 0 18 14 32 0
+8 0 1 0 0 18 15 32 0
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+8 0 1 0 0 18 36 32 0
+8 0 1 0 0 18 37 32 0
+8 0 1 0 0 18 38 32 0
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 0
+8 0 0 0 0 18 2 32 0
+8 0 0 0 0 18 4 32 0
+8 0 0 0 0 18 6 32 0
+8 0 0 0 0 18 8 32 0
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+8 0 0 0 0 18 46 32 0
+8 0 0 0 0 18 48 32 0
+8 0 0 0 0 18 50 32 0
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0
+9 0 1 0 0 18 14 32 0
+9 0 1 0 0 18 15 32 0
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+9 0 1 0 0 18 35 32 0
+9 0 1 0 0 18 36 32 0
+9 0 1 0 0 18 37 32 0
+9 0 1 0 0 18 38 32 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 0
+10 0 1 0 0 18 14 32 0
+10 0 1 0 0 18 15 32 0
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+10 0 1 0 0 18 35 32 0
+10 0 1 0 0 18 36 32 0
+10 0 1 0 0 18 37 32 0
+10 0 1 0 0 18 38 32 0
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 0
+10 0 0 0 0 18 2 32 0
+10 0 0 0 0 18 4 32 0
+10 0 0 0 0 18 6 32 0
+10 0 0 0 0 18 8 32 0
+10 0 0 0 0 18 10 32 0
+10 0 0 0 0 18 12 32 0
+10 0 0 0 0 18 14 32 0
+10 0 0 0 0 18 16 32 0
+10 0 0 0 0 18 18 32 0
+10 0 0 0 0 18 20 32 0
+10 0 0 0 0 18 22 32 0
+10 0 0 0 0 18 24 32 0
+10 0 0 0 0 18 26 32 0
+10 0 0 0 0 18 28 32 0
+10 0 0 0 0 18 30 32 0
+10 0 0 0 0 18 32 32 0
+10 0 0 0 0 18 34 32 0
+10 0 0 0 0 18 36 32 0
+10 0 0 0 0 18 38 32 0
+10 0 0 0 0 18 40 32 0
+10 0 0 0 0 18 42 32 0
+10 0 0 0 0 18 44 32 0
+10 0 0 0 0 18 46 32 0
+10 0 0 0 0 18 48 32 0
+10 0 0 0 0 18 50 32 0
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0
+11 0 1 0 0 18 14 32 0
+11 0 1 0 0 18 15 32 0
+11 0 1 0 0 18 16 32 0
+11 0 1 0 0 18 17 32 0
+11 0 1 0 0 18 18 32 0
+11 0 1 0 0 18 19 32 0
+11 0 1 0 0 18 20 32 0
+11 0 1 0 0 18 21 32 0
+11 0 1 0 0 18 22 32 0
+11 0 1 0 0 18 23 32 0
+11 0 1 0 0 18 24 32 0
+11 0 1 0 0 18 25 32 0
+11 0 1 0 0 18 26 32 0
+11 0 1 0 0 18 27 32 0
+11 0 1 0 0 18 28 32 0
+11 0 1 0 0 18 29 32 0
+11 0 1 0 0 18 30 32 0
+11 0 1 0 0 18 31 32 0
+11 0 1 0 0 18 32 32 0
+11 0 1 0 0 18 33 32 0
+11 0 1 0 0 18 34 32 0
+11 0 1 0 0 18 35 32 0
+11 0 1 0 0 18 36 32 0
+11 0 1 0 0 18 37 32 0
+11 0 1 0 0 18 38 32 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0
+12 0 1 0 0 18 14 32 0
+12 0 1 0 0 18 15 32 0
+12 0 1 0 0 18 16 32 0
+12 0 1 0 0 18 17 32 0
+12 0 1 0 0 18 18 32 0
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+12 0 1 0 0 18 30 32 0
+12 0 1 0 0 18 31 32 0
+12 0 1 0 0 18 32 32 0
+12 0 1 0 0 18 33 32 0
+12 0 1 0 0 18 34 32 0
+12 0 1 0 0 18 35 32 0
+12 0 1 0 0 18 36 32 0
+12 0 1 0 0 18 37 32 0
+12 0 1 0 0 18 38 32 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0
+12 0 0 0 0 18 2 32 0
+12 0 0 0 0 18 4 32 0
+12 0 0 0 0 18 6 32 0
+12 0 0 0 0 18 8 32 0
+12 0 0 0 0 18 10 32 0
+12 0 0 0 0 18 12 32 0
+12 0 0 0 0 18 14 32 0
+12 0 0 0 0 18 16 32 0
+12 0 0 0 0 18 18 32 0
+12 0 0 0 0 18 20 32 0
+12 0 0 0 0 18 22 32 0
+12 0 0 0 0 18 24 32 0
+12 0 0 0 0 18 26 32 0
+12 0 0 0 0 18 28 32 0
+12 0 0 0 0 18 30 32 0
+12 0 0 0 0 18 32 32 0
+12 0 0 0 0 18 34 32 0
+12 0 0 0 0 18 36 32 0
+12 0 0 0 0 18 38 32 0
+12 0 0 0 0 18 40 32 0
+12 0 0 0 0 18 42 32 0
+12 0 0 0 0 18 44 32 0
+12 0 0 0 0 18 46 32 0
+12 0 0 0 0 18 48 32 0
+12 0 0 0 0 18 50 32 0
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.zl
new file mode 100644
index 000000000..a1ef57457
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/cart3d_z.zl
@@ -0,0 +1,782 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -4.5
+0 0 1 0 0 18 24 18 -4.2
+0 0 1 0 0 18 24 19 -3.9
+0 0 1 0 0 18 24 20 -3.6
+0 0 1 0 0 18 24 21 -3.3
+0 0 1 0 0 18 24 22 -3
+0 0 1 0 0 18 24 23 -2.7
+0 0 1 0 0 18 24 24 -2.4
+0 0 1 0 0 18 24 25 -2.1
+0 0 1 0 0 18 24 26 -1.8
+0 0 1 0 0 18 24 27 -1.5
+0 0 1 0 0 18 24 28 -1.2
+0 0 1 0 0 18 24 29 -0.9
+0 0 1 0 0 18 24 30 -0.6
+0 0 1 0 0 18 24 31 -0.3
+0 0 1 0 0 18 24 32 0
+0 0 1 0 0 18 24 33 0.3
+0 0 1 0 0 18 24 34 0.6
+0 0 1 0 0 18 24 35 0.9
+0 0 1 0 0 18 24 36 1.2
+0 0 1 0 0 18 24 37 1.5
+0 0 1 0 0 18 24 38 1.8
+0 0 1 0 0 18 24 39 2.1
+0 0 1 0 0 18 24 40 2.4
+0 0 1 0 0 18 24 41 2.7
+0 0 1 0 0 18 24 42 3
+0 0 1 0 0 18 24 43 3.3
+0 0 1 0 0 18 24 44 3.6
+0 0 1 0 0 18 24 45 3.9
+0 0 1 0 0 18 24 46 4.2
+0 0 1 0 0 18 24 47 4.5
+0 0 1 0 0 18 24 48 4.8
+0 0 1 0 0 18 24 49 5.1
+0 0 1 0 0 18 24 50 5.4
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 -9.6
+0 0 0 0 0 18 24 2 -9
+0 0 0 0 0 18 24 4 -8.4
+0 0 0 0 0 18 24 6 -7.8
+0 0 0 0 0 18 24 8 -7.2
+0 0 0 0 0 18 24 10 -6.6
+0 0 0 0 0 18 24 12 -6
+0 0 0 0 0 18 24 14 -5.4
+0 0 0 0 0 18 24 16 -4.8
+0 0 0 0 0 18 24 18 -4.2
+0 0 0 0 0 18 24 20 -3.6
+0 0 0 0 0 18 24 22 -3
+0 0 0 0 0 18 24 24 -2.4
+0 0 0 0 0 18 24 26 -1.8
+0 0 0 0 0 18 24 28 -1.2
+0 0 0 0 0 18 24 30 -0.6
+0 0 0 0 0 18 24 32 0
+0 0 0 0 0 18 24 34 0.6
+0 0 0 0 0 18 24 36 1.2
+0 0 0 0 0 18 24 38 1.8
+0 0 0 0 0 18 24 40 2.4
+0 0 0 0 0 18 24 42 3
+0 0 0 0 0 18 24 44 3.6
+0 0 0 0 0 18 24 46 4.2
+0 0 0 0 0 18 24 48 4.8
+0 0 0 0 0 18 24 50 5.4
+0 0 0 0 0 18 24 52 6
+0 0 0 0 0 18 24 54 6.6
+0 0 0 0 0 18 24 56 7.2
+0 0 0 0 0 18 24 58 7.8
+0 0 0 0 0 18 24 60 8.4
+0 0 0 0 0 18 24 62 9
+0 0 0 0 0 18 24 64 9.6
+0 0 0 0 0 18 24 66 10.2
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -4.5
+1 0 1 0 0 18 24 18 -4.2
+1 0 1 0 0 18 24 19 -3.9
+1 0 1 0 0 18 24 20 -3.6
+1 0 1 0 0 18 24 21 -3.3
+1 0 1 0 0 18 24 22 -3
+1 0 1 0 0 18 24 23 -2.7
+1 0 1 0 0 18 24 24 -2.4
+1 0 1 0 0 18 24 25 -2.1
+1 0 1 0 0 18 24 26 -1.8
+1 0 1 0 0 18 24 27 -1.5
+1 0 1 0 0 18 24 28 -1.2
+1 0 1 0 0 18 24 29 -0.9
+1 0 1 0 0 18 24 30 -0.6
+1 0 1 0 0 18 24 31 -0.3
+1 0 1 0 0 18 24 32 0
+1 0 1 0 0 18 24 33 0.3
+1 0 1 0 0 18 24 34 0.6
+1 0 1 0 0 18 24 35 0.9
+1 0 1 0 0 18 24 36 1.2
+1 0 1 0 0 18 24 37 1.5
+1 0 1 0 0 18 24 38 1.8
+1 0 1 0 0 18 24 39 2.1
+1 0 1 0 0 18 24 40 2.4
+1 0 1 0 0 18 24 41 2.7
+1 0 1 0 0 18 24 42 3
+1 0 1 0 0 18 24 43 3.3
+1 0 1 0 0 18 24 44 3.6
+1 0 1 0 0 18 24 45 3.9
+1 0 1 0 0 18 24 46 4.2
+1 0 1 0 0 18 24 47 4.5
+1 0 1 0 0 18 24 48 4.8
+1 0 1 0 0 18 24 49 5.1
+1 0 1 0 0 18 24 50 5.4
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -4.5
+2 0 1 0 0 18 24 18 -4.2
+2 0 1 0 0 18 24 19 -3.9
+2 0 1 0 0 18 24 20 -3.6
+2 0 1 0 0 18 24 21 -3.3
+2 0 1 0 0 18 24 22 -3
+2 0 1 0 0 18 24 23 -2.7
+2 0 1 0 0 18 24 24 -2.4
+2 0 1 0 0 18 24 25 -2.1
+2 0 1 0 0 18 24 26 -1.8
+2 0 1 0 0 18 24 27 -1.5
+2 0 1 0 0 18 24 28 -1.2
+2 0 1 0 0 18 24 29 -0.9
+2 0 1 0 0 18 24 30 -0.6
+2 0 1 0 0 18 24 31 -0.3
+2 0 1 0 0 18 24 32 0
+2 0 1 0 0 18 24 33 0.3
+2 0 1 0 0 18 24 34 0.6
+2 0 1 0 0 18 24 35 0.9
+2 0 1 0 0 18 24 36 1.2
+2 0 1 0 0 18 24 37 1.5
+2 0 1 0 0 18 24 38 1.8
+2 0 1 0 0 18 24 39 2.1
+2 0 1 0 0 18 24 40 2.4
+2 0 1 0 0 18 24 41 2.7
+2 0 1 0 0 18 24 42 3
+2 0 1 0 0 18 24 43 3.3
+2 0 1 0 0 18 24 44 3.6
+2 0 1 0 0 18 24 45 3.9
+2 0 1 0 0 18 24 46 4.2
+2 0 1 0 0 18 24 47 4.5
+2 0 1 0 0 18 24 48 4.8
+2 0 1 0 0 18 24 49 5.1
+2 0 1 0 0 18 24 50 5.4
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 -9.6
+2 0 0 0 0 18 24 2 -9
+2 0 0 0 0 18 24 4 -8.4
+2 0 0 0 0 18 24 6 -7.8
+2 0 0 0 0 18 24 8 -7.2
+2 0 0 0 0 18 24 10 -6.6
+2 0 0 0 0 18 24 12 -6
+2 0 0 0 0 18 24 14 -5.4
+2 0 0 0 0 18 24 16 -4.8
+2 0 0 0 0 18 24 18 -4.2
+2 0 0 0 0 18 24 20 -3.6
+2 0 0 0 0 18 24 22 -3
+2 0 0 0 0 18 24 24 -2.4
+2 0 0 0 0 18 24 26 -1.8
+2 0 0 0 0 18 24 28 -1.2
+2 0 0 0 0 18 24 30 -0.6
+2 0 0 0 0 18 24 32 0
+2 0 0 0 0 18 24 34 0.6
+2 0 0 0 0 18 24 36 1.2
+2 0 0 0 0 18 24 38 1.8
+2 0 0 0 0 18 24 40 2.4
+2 0 0 0 0 18 24 42 3
+2 0 0 0 0 18 24 44 3.6
+2 0 0 0 0 18 24 46 4.2
+2 0 0 0 0 18 24 48 4.8
+2 0 0 0 0 18 24 50 5.4
+2 0 0 0 0 18 24 52 6
+2 0 0 0 0 18 24 54 6.6
+2 0 0 0 0 18 24 56 7.2
+2 0 0 0 0 18 24 58 7.8
+2 0 0 0 0 18 24 60 8.4
+2 0 0 0 0 18 24 62 9
+2 0 0 0 0 18 24 64 9.6
+2 0 0 0 0 18 24 66 10.2
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -4.5
+3 0 1 0 0 18 24 18 -4.2
+3 0 1 0 0 18 24 19 -3.9
+3 0 1 0 0 18 24 20 -3.6
+3 0 1 0 0 18 24 21 -3.3
+3 0 1 0 0 18 24 22 -3
+3 0 1 0 0 18 24 23 -2.7
+3 0 1 0 0 18 24 24 -2.4
+3 0 1 0 0 18 24 25 -2.1
+3 0 1 0 0 18 24 26 -1.8
+3 0 1 0 0 18 24 27 -1.5
+3 0 1 0 0 18 24 28 -1.2
+3 0 1 0 0 18 24 29 -0.9
+3 0 1 0 0 18 24 30 -0.6
+3 0 1 0 0 18 24 31 -0.3
+3 0 1 0 0 18 24 32 0
+3 0 1 0 0 18 24 33 0.3
+3 0 1 0 0 18 24 34 0.6
+3 0 1 0 0 18 24 35 0.9
+3 0 1 0 0 18 24 36 1.2
+3 0 1 0 0 18 24 37 1.5
+3 0 1 0 0 18 24 38 1.8
+3 0 1 0 0 18 24 39 2.1
+3 0 1 0 0 18 24 40 2.4
+3 0 1 0 0 18 24 41 2.7
+3 0 1 0 0 18 24 42 3
+3 0 1 0 0 18 24 43 3.3
+3 0 1 0 0 18 24 44 3.6
+3 0 1 0 0 18 24 45 3.9
+3 0 1 0 0 18 24 46 4.2
+3 0 1 0 0 18 24 47 4.5
+3 0 1 0 0 18 24 48 4.8
+3 0 1 0 0 18 24 49 5.1
+3 0 1 0 0 18 24 50 5.4
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -4.5
+4 0 1 0 0 18 24 18 -4.2
+4 0 1 0 0 18 24 19 -3.9
+4 0 1 0 0 18 24 20 -3.6
+4 0 1 0 0 18 24 21 -3.3
+4 0 1 0 0 18 24 22 -3
+4 0 1 0 0 18 24 23 -2.7
+4 0 1 0 0 18 24 24 -2.4
+4 0 1 0 0 18 24 25 -2.1
+4 0 1 0 0 18 24 26 -1.8
+4 0 1 0 0 18 24 27 -1.5
+4 0 1 0 0 18 24 28 -1.2
+4 0 1 0 0 18 24 29 -0.9
+4 0 1 0 0 18 24 30 -0.6
+4 0 1 0 0 18 24 31 -0.3
+4 0 1 0 0 18 24 32 0
+4 0 1 0 0 18 24 33 0.3
+4 0 1 0 0 18 24 34 0.6
+4 0 1 0 0 18 24 35 0.9
+4 0 1 0 0 18 24 36 1.2
+4 0 1 0 0 18 24 37 1.5
+4 0 1 0 0 18 24 38 1.8
+4 0 1 0 0 18 24 39 2.1
+4 0 1 0 0 18 24 40 2.4
+4 0 1 0 0 18 24 41 2.7
+4 0 1 0 0 18 24 42 3
+4 0 1 0 0 18 24 43 3.3
+4 0 1 0 0 18 24 44 3.6
+4 0 1 0 0 18 24 45 3.9
+4 0 1 0 0 18 24 46 4.2
+4 0 1 0 0 18 24 47 4.5
+4 0 1 0 0 18 24 48 4.8
+4 0 1 0 0 18 24 49 5.1
+4 0 1 0 0 18 24 50 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 -9.6
+4 0 0 0 0 18 24 2 -9
+4 0 0 0 0 18 24 4 -8.4
+4 0 0 0 0 18 24 6 -7.8
+4 0 0 0 0 18 24 8 -7.2
+4 0 0 0 0 18 24 10 -6.6
+4 0 0 0 0 18 24 12 -6
+4 0 0 0 0 18 24 14 -5.4
+4 0 0 0 0 18 24 16 -4.8
+4 0 0 0 0 18 24 18 -4.2
+4 0 0 0 0 18 24 20 -3.6
+4 0 0 0 0 18 24 22 -3
+4 0 0 0 0 18 24 24 -2.4
+4 0 0 0 0 18 24 26 -1.8
+4 0 0 0 0 18 24 28 -1.2
+4 0 0 0 0 18 24 30 -0.6
+4 0 0 0 0 18 24 32 0
+4 0 0 0 0 18 24 34 0.6
+4 0 0 0 0 18 24 36 1.2
+4 0 0 0 0 18 24 38 1.8
+4 0 0 0 0 18 24 40 2.4
+4 0 0 0 0 18 24 42 3
+4 0 0 0 0 18 24 44 3.6
+4 0 0 0 0 18 24 46 4.2
+4 0 0 0 0 18 24 48 4.8
+4 0 0 0 0 18 24 50 5.4
+4 0 0 0 0 18 24 52 6
+4 0 0 0 0 18 24 54 6.6
+4 0 0 0 0 18 24 56 7.2
+4 0 0 0 0 18 24 58 7.8
+4 0 0 0 0 18 24 60 8.4
+4 0 0 0 0 18 24 62 9
+4 0 0 0 0 18 24 64 9.6
+4 0 0 0 0 18 24 66 10.2
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -4.5
+5 0 1 0 0 18 24 18 -4.2
+5 0 1 0 0 18 24 19 -3.9
+5 0 1 0 0 18 24 20 -3.6
+5 0 1 0 0 18 24 21 -3.3
+5 0 1 0 0 18 24 22 -3
+5 0 1 0 0 18 24 23 -2.7
+5 0 1 0 0 18 24 24 -2.4
+5 0 1 0 0 18 24 25 -2.1
+5 0 1 0 0 18 24 26 -1.8
+5 0 1 0 0 18 24 27 -1.5
+5 0 1 0 0 18 24 28 -1.2
+5 0 1 0 0 18 24 29 -0.9
+5 0 1 0 0 18 24 30 -0.6
+5 0 1 0 0 18 24 31 -0.3
+5 0 1 0 0 18 24 32 0
+5 0 1 0 0 18 24 33 0.3
+5 0 1 0 0 18 24 34 0.6
+5 0 1 0 0 18 24 35 0.9
+5 0 1 0 0 18 24 36 1.2
+5 0 1 0 0 18 24 37 1.5
+5 0 1 0 0 18 24 38 1.8
+5 0 1 0 0 18 24 39 2.1
+5 0 1 0 0 18 24 40 2.4
+5 0 1 0 0 18 24 41 2.7
+5 0 1 0 0 18 24 42 3
+5 0 1 0 0 18 24 43 3.3
+5 0 1 0 0 18 24 44 3.6
+5 0 1 0 0 18 24 45 3.9
+5 0 1 0 0 18 24 46 4.2
+5 0 1 0 0 18 24 47 4.5
+5 0 1 0 0 18 24 48 4.8
+5 0 1 0 0 18 24 49 5.1
+5 0 1 0 0 18 24 50 5.4
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -4.5
+6 0 1 0 0 18 24 18 -4.2
+6 0 1 0 0 18 24 19 -3.9
+6 0 1 0 0 18 24 20 -3.6
+6 0 1 0 0 18 24 21 -3.3
+6 0 1 0 0 18 24 22 -3
+6 0 1 0 0 18 24 23 -2.7
+6 0 1 0 0 18 24 24 -2.4
+6 0 1 0 0 18 24 25 -2.1
+6 0 1 0 0 18 24 26 -1.8
+6 0 1 0 0 18 24 27 -1.5
+6 0 1 0 0 18 24 28 -1.2
+6 0 1 0 0 18 24 29 -0.9
+6 0 1 0 0 18 24 30 -0.6
+6 0 1 0 0 18 24 31 -0.3
+6 0 1 0 0 18 24 32 0
+6 0 1 0 0 18 24 33 0.3
+6 0 1 0 0 18 24 34 0.6
+6 0 1 0 0 18 24 35 0.9
+6 0 1 0 0 18 24 36 1.2
+6 0 1 0 0 18 24 37 1.5
+6 0 1 0 0 18 24 38 1.8
+6 0 1 0 0 18 24 39 2.1
+6 0 1 0 0 18 24 40 2.4
+6 0 1 0 0 18 24 41 2.7
+6 0 1 0 0 18 24 42 3
+6 0 1 0 0 18 24 43 3.3
+6 0 1 0 0 18 24 44 3.6
+6 0 1 0 0 18 24 45 3.9
+6 0 1 0 0 18 24 46 4.2
+6 0 1 0 0 18 24 47 4.5
+6 0 1 0 0 18 24 48 4.8
+6 0 1 0 0 18 24 49 5.1
+6 0 1 0 0 18 24 50 5.4
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 -9.6
+6 0 0 0 0 18 24 2 -9
+6 0 0 0 0 18 24 4 -8.4
+6 0 0 0 0 18 24 6 -7.8
+6 0 0 0 0 18 24 8 -7.2
+6 0 0 0 0 18 24 10 -6.6
+6 0 0 0 0 18 24 12 -6
+6 0 0 0 0 18 24 14 -5.4
+6 0 0 0 0 18 24 16 -4.8
+6 0 0 0 0 18 24 18 -4.2
+6 0 0 0 0 18 24 20 -3.6
+6 0 0 0 0 18 24 22 -3
+6 0 0 0 0 18 24 24 -2.4
+6 0 0 0 0 18 24 26 -1.8
+6 0 0 0 0 18 24 28 -1.2
+6 0 0 0 0 18 24 30 -0.6
+6 0 0 0 0 18 24 32 0
+6 0 0 0 0 18 24 34 0.6
+6 0 0 0 0 18 24 36 1.2
+6 0 0 0 0 18 24 38 1.8
+6 0 0 0 0 18 24 40 2.4
+6 0 0 0 0 18 24 42 3
+6 0 0 0 0 18 24 44 3.6
+6 0 0 0 0 18 24 46 4.2
+6 0 0 0 0 18 24 48 4.8
+6 0 0 0 0 18 24 50 5.4
+6 0 0 0 0 18 24 52 6
+6 0 0 0 0 18 24 54 6.6
+6 0 0 0 0 18 24 56 7.2
+6 0 0 0 0 18 24 58 7.8
+6 0 0 0 0 18 24 60 8.4
+6 0 0 0 0 18 24 62 9
+6 0 0 0 0 18 24 64 9.6
+6 0 0 0 0 18 24 66 10.2
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -4.5
+7 0 1 0 0 18 24 18 -4.2
+7 0 1 0 0 18 24 19 -3.9
+7 0 1 0 0 18 24 20 -3.6
+7 0 1 0 0 18 24 21 -3.3
+7 0 1 0 0 18 24 22 -3
+7 0 1 0 0 18 24 23 -2.7
+7 0 1 0 0 18 24 24 -2.4
+7 0 1 0 0 18 24 25 -2.1
+7 0 1 0 0 18 24 26 -1.8
+7 0 1 0 0 18 24 27 -1.5
+7 0 1 0 0 18 24 28 -1.2
+7 0 1 0 0 18 24 29 -0.9
+7 0 1 0 0 18 24 30 -0.6
+7 0 1 0 0 18 24 31 -0.3
+7 0 1 0 0 18 24 32 0
+7 0 1 0 0 18 24 33 0.3
+7 0 1 0 0 18 24 34 0.6
+7 0 1 0 0 18 24 35 0.9
+7 0 1 0 0 18 24 36 1.2
+7 0 1 0 0 18 24 37 1.5
+7 0 1 0 0 18 24 38 1.8
+7 0 1 0 0 18 24 39 2.1
+7 0 1 0 0 18 24 40 2.4
+7 0 1 0 0 18 24 41 2.7
+7 0 1 0 0 18 24 42 3
+7 0 1 0 0 18 24 43 3.3
+7 0 1 0 0 18 24 44 3.6
+7 0 1 0 0 18 24 45 3.9
+7 0 1 0 0 18 24 46 4.2
+7 0 1 0 0 18 24 47 4.5
+7 0 1 0 0 18 24 48 4.8
+7 0 1 0 0 18 24 49 5.1
+7 0 1 0 0 18 24 50 5.4
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -4.5
+8 0 1 0 0 18 24 18 -4.2
+8 0 1 0 0 18 24 19 -3.9
+8 0 1 0 0 18 24 20 -3.6
+8 0 1 0 0 18 24 21 -3.3
+8 0 1 0 0 18 24 22 -3
+8 0 1 0 0 18 24 23 -2.7
+8 0 1 0 0 18 24 24 -2.4
+8 0 1 0 0 18 24 25 -2.1
+8 0 1 0 0 18 24 26 -1.8
+8 0 1 0 0 18 24 27 -1.5
+8 0 1 0 0 18 24 28 -1.2
+8 0 1 0 0 18 24 29 -0.9
+8 0 1 0 0 18 24 30 -0.6
+8 0 1 0 0 18 24 31 -0.3
+8 0 1 0 0 18 24 32 0
+8 0 1 0 0 18 24 33 0.3
+8 0 1 0 0 18 24 34 0.6
+8 0 1 0 0 18 24 35 0.9
+8 0 1 0 0 18 24 36 1.2
+8 0 1 0 0 18 24 37 1.5
+8 0 1 0 0 18 24 38 1.8
+8 0 1 0 0 18 24 39 2.1
+8 0 1 0 0 18 24 40 2.4
+8 0 1 0 0 18 24 41 2.7
+8 0 1 0 0 18 24 42 3
+8 0 1 0 0 18 24 43 3.3
+8 0 1 0 0 18 24 44 3.6
+8 0 1 0 0 18 24 45 3.9
+8 0 1 0 0 18 24 46 4.2
+8 0 1 0 0 18 24 47 4.5
+8 0 1 0 0 18 24 48 4.8
+8 0 1 0 0 18 24 49 5.1
+8 0 1 0 0 18 24 50 5.4
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 -9.6
+8 0 0 0 0 18 24 2 -9
+8 0 0 0 0 18 24 4 -8.4
+8 0 0 0 0 18 24 6 -7.8
+8 0 0 0 0 18 24 8 -7.2
+8 0 0 0 0 18 24 10 -6.6
+8 0 0 0 0 18 24 12 -6
+8 0 0 0 0 18 24 14 -5.4
+8 0 0 0 0 18 24 16 -4.8
+8 0 0 0 0 18 24 18 -4.2
+8 0 0 0 0 18 24 20 -3.6
+8 0 0 0 0 18 24 22 -3
+8 0 0 0 0 18 24 24 -2.4
+8 0 0 0 0 18 24 26 -1.8
+8 0 0 0 0 18 24 28 -1.2
+8 0 0 0 0 18 24 30 -0.6
+8 0 0 0 0 18 24 32 0
+8 0 0 0 0 18 24 34 0.6
+8 0 0 0 0 18 24 36 1.2
+8 0 0 0 0 18 24 38 1.8
+8 0 0 0 0 18 24 40 2.4
+8 0 0 0 0 18 24 42 3
+8 0 0 0 0 18 24 44 3.6
+8 0 0 0 0 18 24 46 4.2
+8 0 0 0 0 18 24 48 4.8
+8 0 0 0 0 18 24 50 5.4
+8 0 0 0 0 18 24 52 6
+8 0 0 0 0 18 24 54 6.6
+8 0 0 0 0 18 24 56 7.2
+8 0 0 0 0 18 24 58 7.8
+8 0 0 0 0 18 24 60 8.4
+8 0 0 0 0 18 24 62 9
+8 0 0 0 0 18 24 64 9.6
+8 0 0 0 0 18 24 66 10.2
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -4.5
+9 0 1 0 0 18 24 18 -4.2
+9 0 1 0 0 18 24 19 -3.9
+9 0 1 0 0 18 24 20 -3.6
+9 0 1 0 0 18 24 21 -3.3
+9 0 1 0 0 18 24 22 -3
+9 0 1 0 0 18 24 23 -2.7
+9 0 1 0 0 18 24 24 -2.4
+9 0 1 0 0 18 24 25 -2.1
+9 0 1 0 0 18 24 26 -1.8
+9 0 1 0 0 18 24 27 -1.5
+9 0 1 0 0 18 24 28 -1.2
+9 0 1 0 0 18 24 29 -0.9
+9 0 1 0 0 18 24 30 -0.6
+9 0 1 0 0 18 24 31 -0.3
+9 0 1 0 0 18 24 32 0
+9 0 1 0 0 18 24 33 0.3
+9 0 1 0 0 18 24 34 0.6
+9 0 1 0 0 18 24 35 0.9
+9 0 1 0 0 18 24 36 1.2
+9 0 1 0 0 18 24 37 1.5
+9 0 1 0 0 18 24 38 1.8
+9 0 1 0 0 18 24 39 2.1
+9 0 1 0 0 18 24 40 2.4
+9 0 1 0 0 18 24 41 2.7
+9 0 1 0 0 18 24 42 3
+9 0 1 0 0 18 24 43 3.3
+9 0 1 0 0 18 24 44 3.6
+9 0 1 0 0 18 24 45 3.9
+9 0 1 0 0 18 24 46 4.2
+9 0 1 0 0 18 24 47 4.5
+9 0 1 0 0 18 24 48 4.8
+9 0 1 0 0 18 24 49 5.1
+9 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 -4.5
+10 0 1 0 0 18 24 18 -4.2
+10 0 1 0 0 18 24 19 -3.9
+10 0 1 0 0 18 24 20 -3.6
+10 0 1 0 0 18 24 21 -3.3
+10 0 1 0 0 18 24 22 -3
+10 0 1 0 0 18 24 23 -2.7
+10 0 1 0 0 18 24 24 -2.4
+10 0 1 0 0 18 24 25 -2.1
+10 0 1 0 0 18 24 26 -1.8
+10 0 1 0 0 18 24 27 -1.5
+10 0 1 0 0 18 24 28 -1.2
+10 0 1 0 0 18 24 29 -0.9
+10 0 1 0 0 18 24 30 -0.6
+10 0 1 0 0 18 24 31 -0.3
+10 0 1 0 0 18 24 32 0
+10 0 1 0 0 18 24 33 0.3
+10 0 1 0 0 18 24 34 0.6
+10 0 1 0 0 18 24 35 0.9
+10 0 1 0 0 18 24 36 1.2
+10 0 1 0 0 18 24 37 1.5
+10 0 1 0 0 18 24 38 1.8
+10 0 1 0 0 18 24 39 2.1
+10 0 1 0 0 18 24 40 2.4
+10 0 1 0 0 18 24 41 2.7
+10 0 1 0 0 18 24 42 3
+10 0 1 0 0 18 24 43 3.3
+10 0 1 0 0 18 24 44 3.6
+10 0 1 0 0 18 24 45 3.9
+10 0 1 0 0 18 24 46 4.2
+10 0 1 0 0 18 24 47 4.5
+10 0 1 0 0 18 24 48 4.8
+10 0 1 0 0 18 24 49 5.1
+10 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 -9.6
+10 0 0 0 0 18 24 2 -9
+10 0 0 0 0 18 24 4 -8.4
+10 0 0 0 0 18 24 6 -7.8
+10 0 0 0 0 18 24 8 -7.2
+10 0 0 0 0 18 24 10 -6.6
+10 0 0 0 0 18 24 12 -6
+10 0 0 0 0 18 24 14 -5.4
+10 0 0 0 0 18 24 16 -4.8
+10 0 0 0 0 18 24 18 -4.2
+10 0 0 0 0 18 24 20 -3.6
+10 0 0 0 0 18 24 22 -3
+10 0 0 0 0 18 24 24 -2.4
+10 0 0 0 0 18 24 26 -1.8
+10 0 0 0 0 18 24 28 -1.2
+10 0 0 0 0 18 24 30 -0.6
+10 0 0 0 0 18 24 32 0
+10 0 0 0 0 18 24 34 0.6
+10 0 0 0 0 18 24 36 1.2
+10 0 0 0 0 18 24 38 1.8
+10 0 0 0 0 18 24 40 2.4
+10 0 0 0 0 18 24 42 3
+10 0 0 0 0 18 24 44 3.6
+10 0 0 0 0 18 24 46 4.2
+10 0 0 0 0 18 24 48 4.8
+10 0 0 0 0 18 24 50 5.4
+10 0 0 0 0 18 24 52 6
+10 0 0 0 0 18 24 54 6.6
+10 0 0 0 0 18 24 56 7.2
+10 0 0 0 0 18 24 58 7.8
+10 0 0 0 0 18 24 60 8.4
+10 0 0 0 0 18 24 62 9
+10 0 0 0 0 18 24 64 9.6
+10 0 0 0 0 18 24 66 10.2
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 -4.5
+11 0 1 0 0 18 24 18 -4.2
+11 0 1 0 0 18 24 19 -3.9
+11 0 1 0 0 18 24 20 -3.6
+11 0 1 0 0 18 24 21 -3.3
+11 0 1 0 0 18 24 22 -3
+11 0 1 0 0 18 24 23 -2.7
+11 0 1 0 0 18 24 24 -2.4
+11 0 1 0 0 18 24 25 -2.1
+11 0 1 0 0 18 24 26 -1.8
+11 0 1 0 0 18 24 27 -1.5
+11 0 1 0 0 18 24 28 -1.2
+11 0 1 0 0 18 24 29 -0.9
+11 0 1 0 0 18 24 30 -0.6
+11 0 1 0 0 18 24 31 -0.3
+11 0 1 0 0 18 24 32 0
+11 0 1 0 0 18 24 33 0.3
+11 0 1 0 0 18 24 34 0.6
+11 0 1 0 0 18 24 35 0.9
+11 0 1 0 0 18 24 36 1.2
+11 0 1 0 0 18 24 37 1.5
+11 0 1 0 0 18 24 38 1.8
+11 0 1 0 0 18 24 39 2.1
+11 0 1 0 0 18 24 40 2.4
+11 0 1 0 0 18 24 41 2.7
+11 0 1 0 0 18 24 42 3
+11 0 1 0 0 18 24 43 3.3
+11 0 1 0 0 18 24 44 3.6
+11 0 1 0 0 18 24 45 3.9
+11 0 1 0 0 18 24 46 4.2
+11 0 1 0 0 18 24 47 4.5
+11 0 1 0 0 18 24 48 4.8
+11 0 1 0 0 18 24 49 5.1
+11 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 -4.5
+12 0 1 0 0 18 24 18 -4.2
+12 0 1 0 0 18 24 19 -3.9
+12 0 1 0 0 18 24 20 -3.6
+12 0 1 0 0 18 24 21 -3.3
+12 0 1 0 0 18 24 22 -3
+12 0 1 0 0 18 24 23 -2.7
+12 0 1 0 0 18 24 24 -2.4
+12 0 1 0 0 18 24 25 -2.1
+12 0 1 0 0 18 24 26 -1.8
+12 0 1 0 0 18 24 27 -1.5
+12 0 1 0 0 18 24 28 -1.2
+12 0 1 0 0 18 24 29 -0.9
+12 0 1 0 0 18 24 30 -0.6
+12 0 1 0 0 18 24 31 -0.3
+12 0 1 0 0 18 24 32 0
+12 0 1 0 0 18 24 33 0.3
+12 0 1 0 0 18 24 34 0.6
+12 0 1 0 0 18 24 35 0.9
+12 0 1 0 0 18 24 36 1.2
+12 0 1 0 0 18 24 37 1.5
+12 0 1 0 0 18 24 38 1.8
+12 0 1 0 0 18 24 39 2.1
+12 0 1 0 0 18 24 40 2.4
+12 0 1 0 0 18 24 41 2.7
+12 0 1 0 0 18 24 42 3
+12 0 1 0 0 18 24 43 3.3
+12 0 1 0 0 18 24 44 3.6
+12 0 1 0 0 18 24 45 3.9
+12 0 1 0 0 18 24 46 4.2
+12 0 1 0 0 18 24 47 4.5
+12 0 1 0 0 18 24 48 4.8
+12 0 1 0 0 18 24 49 5.1
+12 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 -9.6
+12 0 0 0 0 18 24 2 -9
+12 0 0 0 0 18 24 4 -8.4
+12 0 0 0 0 18 24 6 -7.8
+12 0 0 0 0 18 24 8 -7.2
+12 0 0 0 0 18 24 10 -6.6
+12 0 0 0 0 18 24 12 -6
+12 0 0 0 0 18 24 14 -5.4
+12 0 0 0 0 18 24 16 -4.8
+12 0 0 0 0 18 24 18 -4.2
+12 0 0 0 0 18 24 20 -3.6
+12 0 0 0 0 18 24 22 -3
+12 0 0 0 0 18 24 24 -2.4
+12 0 0 0 0 18 24 26 -1.8
+12 0 0 0 0 18 24 28 -1.2
+12 0 0 0 0 18 24 30 -0.6
+12 0 0 0 0 18 24 32 0
+12 0 0 0 0 18 24 34 0.6
+12 0 0 0 0 18 24 36 1.2
+12 0 0 0 0 18 24 38 1.8
+12 0 0 0 0 18 24 40 2.4
+12 0 0 0 0 18 24 42 3
+12 0 0 0 0 18 24 44 3.6
+12 0 0 0 0 18 24 46 4.2
+12 0 0 0 0 18 24 48 4.8
+12 0 0 0 0 18 24 50 5.4
+12 0 0 0 0 18 24 52 6
+12 0 0 0 0 18 24 54 6.6
+12 0 0 0 0 18 24 56 7.2
+12 0 0 0 0 18 24 58 7.8
+12 0 0 0 0 18 24 60 8.4
+12 0 0 0 0 18 24 62 9
+12 0 0 0 0 18 24 64 9.6
+12 0 0 0 0 18 24 66 10.2
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.xl
new file mode 100644
index 000000000..c73d4d829
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.xl
@@ -0,0 +1,482 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 2.7
+0 0 1 0 0 10 24 32 2.4
+0 0 1 0 0 11 24 32 2.1
+0 0 1 0 0 12 24 32 1.8
+0 0 1 0 0 13 24 32 1.5
+0 0 1 0 0 14 24 32 1.2
+0 0 1 0 0 15 24 32 0.9
+0 0 1 0 0 16 24 32 0.6
+0 0 1 0 0 17 24 32 0.3
+0 0 1 0 0 18 24 32 6.2803698347351e-16
+0 0 1 0 0 19 24 32 0.3
+0 0 1 0 0 20 24 32 0.600000000000001
+0 0 1 0 0 21 24 32 0.900000000000001
+0 0 1 0 0 22 24 32 1.2
+0 0 1 0 0 23 24 32 1.5
+0 0 1 0 0 24 24 32 1.8
+0 0 1 0 0 25 24 32 2.1
+0 0 1 0 0 26 24 32 2.4
+0 0 1 0 0 27 24 32 2.7
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 5.4
+0 0 0 0 0 2 24 32 4.8
+0 0 0 0 0 4 24 32 4.2
+0 0 0 0 0 6 24 32 3.6
+0 0 0 0 0 8 24 32 3
+0 0 0 0 0 10 24 32 2.4
+0 0 0 0 0 12 24 32 1.8
+0 0 0 0 0 14 24 32 1.2
+0 0 0 0 0 16 24 32 0.6
+0 0 0 0 0 18 24 32 6.2803698347351e-16
+0 0 0 0 0 20 24 32 0.600000000000001
+0 0 0 0 0 22 24 32 1.2
+0 0 0 0 0 24 24 32 1.8
+0 0 0 0 0 26 24 32 2.4
+0 0 0 0 0 28 24 32 3
+0 0 0 0 0 30 24 32 3.6
+0 0 0 0 0 32 24 32 4.2
+0 0 0 0 0 34 24 32 4.8
+0 0 0 0 0 36 24 32 5.4
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 2.7
+1 0 1 0 0 10 24 32 2.4
+1 0 1 0 0 11 24 32 2.1
+1 0 1 0 0 12 24 32 1.8
+1 0 1 0 0 13 24 32 1.5
+1 0 1 0 0 14 24 32 1.2
+1 0 1 0 0 15 24 32 0.9
+1 0 1 0 0 16 24 32 0.6
+1 0 1 0 0 17 24 32 0.3
+1 0 1 0 0 18 24 32 6.2803698347351e-16
+1 0 1 0 0 19 24 32 0.3
+1 0 1 0 0 20 24 32 0.600000000000001
+1 0 1 0 0 21 24 32 0.900000000000001
+1 0 1 0 0 22 24 32 1.2
+1 0 1 0 0 23 24 32 1.5
+1 0 1 0 0 24 24 32 1.8
+1 0 1 0 0 25 24 32 2.1
+1 0 1 0 0 26 24 32 2.4
+1 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 2.7
+2 0 1 0 0 10 24 32 2.4
+2 0 1 0 0 11 24 32 2.1
+2 0 1 0 0 12 24 32 1.8
+2 0 1 0 0 13 24 32 1.5
+2 0 1 0 0 14 24 32 1.2
+2 0 1 0 0 15 24 32 0.9
+2 0 1 0 0 16 24 32 0.6
+2 0 1 0 0 17 24 32 0.3
+2 0 1 0 0 18 24 32 6.2803698347351e-16
+2 0 1 0 0 19 24 32 0.3
+2 0 1 0 0 20 24 32 0.600000000000001
+2 0 1 0 0 21 24 32 0.900000000000001
+2 0 1 0 0 22 24 32 1.2
+2 0 1 0 0 23 24 32 1.5
+2 0 1 0 0 24 24 32 1.8
+2 0 1 0 0 25 24 32 2.1
+2 0 1 0 0 26 24 32 2.4
+2 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 5.4
+2 0 0 0 0 2 24 32 4.8
+2 0 0 0 0 4 24 32 4.2
+2 0 0 0 0 6 24 32 3.6
+2 0 0 0 0 8 24 32 3
+2 0 0 0 0 10 24 32 2.4
+2 0 0 0 0 12 24 32 1.8
+2 0 0 0 0 14 24 32 1.2
+2 0 0 0 0 16 24 32 0.6
+2 0 0 0 0 18 24 32 6.2803698347351e-16
+2 0 0 0 0 20 24 32 0.600000000000001
+2 0 0 0 0 22 24 32 1.2
+2 0 0 0 0 24 24 32 1.8
+2 0 0 0 0 26 24 32 2.4
+2 0 0 0 0 28 24 32 3
+2 0 0 0 0 30 24 32 3.6
+2 0 0 0 0 32 24 32 4.2
+2 0 0 0 0 34 24 32 4.8
+2 0 0 0 0 36 24 32 5.4
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 2.7
+3 0 1 0 0 10 24 32 2.4
+3 0 1 0 0 11 24 32 2.1
+3 0 1 0 0 12 24 32 1.8
+3 0 1 0 0 13 24 32 1.5
+3 0 1 0 0 14 24 32 1.2
+3 0 1 0 0 15 24 32 0.9
+3 0 1 0 0 16 24 32 0.6
+3 0 1 0 0 17 24 32 0.3
+3 0 1 0 0 18 24 32 6.2803698347351e-16
+3 0 1 0 0 19 24 32 0.3
+3 0 1 0 0 20 24 32 0.600000000000001
+3 0 1 0 0 21 24 32 0.900000000000001
+3 0 1 0 0 22 24 32 1.2
+3 0 1 0 0 23 24 32 1.5
+3 0 1 0 0 24 24 32 1.8
+3 0 1 0 0 25 24 32 2.1
+3 0 1 0 0 26 24 32 2.4
+3 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 2.7
+4 0 1 0 0 10 24 32 2.4
+4 0 1 0 0 11 24 32 2.1
+4 0 1 0 0 12 24 32 1.8
+4 0 1 0 0 13 24 32 1.5
+4 0 1 0 0 14 24 32 1.2
+4 0 1 0 0 15 24 32 0.9
+4 0 1 0 0 16 24 32 0.6
+4 0 1 0 0 17 24 32 0.3
+4 0 1 0 0 18 24 32 6.2803698347351e-16
+4 0 1 0 0 19 24 32 0.3
+4 0 1 0 0 20 24 32 0.600000000000001
+4 0 1 0 0 21 24 32 0.900000000000001
+4 0 1 0 0 22 24 32 1.2
+4 0 1 0 0 23 24 32 1.5
+4 0 1 0 0 24 24 32 1.8
+4 0 1 0 0 25 24 32 2.1
+4 0 1 0 0 26 24 32 2.4
+4 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 5.4
+4 0 0 0 0 2 24 32 4.8
+4 0 0 0 0 4 24 32 4.2
+4 0 0 0 0 6 24 32 3.6
+4 0 0 0 0 8 24 32 3
+4 0 0 0 0 10 24 32 2.4
+4 0 0 0 0 12 24 32 1.8
+4 0 0 0 0 14 24 32 1.2
+4 0 0 0 0 16 24 32 0.6
+4 0 0 0 0 18 24 32 6.2803698347351e-16
+4 0 0 0 0 20 24 32 0.600000000000001
+4 0 0 0 0 22 24 32 1.2
+4 0 0 0 0 24 24 32 1.8
+4 0 0 0 0 26 24 32 2.4
+4 0 0 0 0 28 24 32 3
+4 0 0 0 0 30 24 32 3.6
+4 0 0 0 0 32 24 32 4.2
+4 0 0 0 0 34 24 32 4.8
+4 0 0 0 0 36 24 32 5.4
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 2.7
+5 0 1 0 0 10 24 32 2.4
+5 0 1 0 0 11 24 32 2.1
+5 0 1 0 0 12 24 32 1.8
+5 0 1 0 0 13 24 32 1.5
+5 0 1 0 0 14 24 32 1.2
+5 0 1 0 0 15 24 32 0.9
+5 0 1 0 0 16 24 32 0.6
+5 0 1 0 0 17 24 32 0.3
+5 0 1 0 0 18 24 32 6.2803698347351e-16
+5 0 1 0 0 19 24 32 0.3
+5 0 1 0 0 20 24 32 0.600000000000001
+5 0 1 0 0 21 24 32 0.900000000000001
+5 0 1 0 0 22 24 32 1.2
+5 0 1 0 0 23 24 32 1.5
+5 0 1 0 0 24 24 32 1.8
+5 0 1 0 0 25 24 32 2.1
+5 0 1 0 0 26 24 32 2.4
+5 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 2.7
+6 0 1 0 0 10 24 32 2.4
+6 0 1 0 0 11 24 32 2.1
+6 0 1 0 0 12 24 32 1.8
+6 0 1 0 0 13 24 32 1.5
+6 0 1 0 0 14 24 32 1.2
+6 0 1 0 0 15 24 32 0.9
+6 0 1 0 0 16 24 32 0.6
+6 0 1 0 0 17 24 32 0.3
+6 0 1 0 0 18 24 32 6.2803698347351e-16
+6 0 1 0 0 19 24 32 0.3
+6 0 1 0 0 20 24 32 0.600000000000001
+6 0 1 0 0 21 24 32 0.900000000000001
+6 0 1 0 0 22 24 32 1.2
+6 0 1 0 0 23 24 32 1.5
+6 0 1 0 0 24 24 32 1.8
+6 0 1 0 0 25 24 32 2.1
+6 0 1 0 0 26 24 32 2.4
+6 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 5.4
+6 0 0 0 0 2 24 32 4.8
+6 0 0 0 0 4 24 32 4.2
+6 0 0 0 0 6 24 32 3.6
+6 0 0 0 0 8 24 32 3
+6 0 0 0 0 10 24 32 2.4
+6 0 0 0 0 12 24 32 1.8
+6 0 0 0 0 14 24 32 1.2
+6 0 0 0 0 16 24 32 0.6
+6 0 0 0 0 18 24 32 6.2803698347351e-16
+6 0 0 0 0 20 24 32 0.600000000000001
+6 0 0 0 0 22 24 32 1.2
+6 0 0 0 0 24 24 32 1.8
+6 0 0 0 0 26 24 32 2.4
+6 0 0 0 0 28 24 32 3
+6 0 0 0 0 30 24 32 3.6
+6 0 0 0 0 32 24 32 4.2
+6 0 0 0 0 34 24 32 4.8
+6 0 0 0 0 36 24 32 5.4
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 2.7
+7 0 1 0 0 10 24 32 2.4
+7 0 1 0 0 11 24 32 2.1
+7 0 1 0 0 12 24 32 1.8
+7 0 1 0 0 13 24 32 1.5
+7 0 1 0 0 14 24 32 1.2
+7 0 1 0 0 15 24 32 0.9
+7 0 1 0 0 16 24 32 0.6
+7 0 1 0 0 17 24 32 0.3
+7 0 1 0 0 18 24 32 6.2803698347351e-16
+7 0 1 0 0 19 24 32 0.3
+7 0 1 0 0 20 24 32 0.600000000000001
+7 0 1 0 0 21 24 32 0.900000000000001
+7 0 1 0 0 22 24 32 1.2
+7 0 1 0 0 23 24 32 1.5
+7 0 1 0 0 24 24 32 1.8
+7 0 1 0 0 25 24 32 2.1
+7 0 1 0 0 26 24 32 2.4
+7 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 2.7
+8 0 1 0 0 10 24 32 2.4
+8 0 1 0 0 11 24 32 2.1
+8 0 1 0 0 12 24 32 1.8
+8 0 1 0 0 13 24 32 1.5
+8 0 1 0 0 14 24 32 1.2
+8 0 1 0 0 15 24 32 0.9
+8 0 1 0 0 16 24 32 0.6
+8 0 1 0 0 17 24 32 0.3
+8 0 1 0 0 18 24 32 6.2803698347351e-16
+8 0 1 0 0 19 24 32 0.3
+8 0 1 0 0 20 24 32 0.600000000000001
+8 0 1 0 0 21 24 32 0.900000000000001
+8 0 1 0 0 22 24 32 1.2
+8 0 1 0 0 23 24 32 1.5
+8 0 1 0 0 24 24 32 1.8
+8 0 1 0 0 25 24 32 2.1
+8 0 1 0 0 26 24 32 2.4
+8 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 5.4
+8 0 0 0 0 2 24 32 4.8
+8 0 0 0 0 4 24 32 4.2
+8 0 0 0 0 6 24 32 3.6
+8 0 0 0 0 8 24 32 3
+8 0 0 0 0 10 24 32 2.4
+8 0 0 0 0 12 24 32 1.8
+8 0 0 0 0 14 24 32 1.2
+8 0 0 0 0 16 24 32 0.6
+8 0 0 0 0 18 24 32 6.2803698347351e-16
+8 0 0 0 0 20 24 32 0.600000000000001
+8 0 0 0 0 22 24 32 1.2
+8 0 0 0 0 24 24 32 1.8
+8 0 0 0 0 26 24 32 2.4
+8 0 0 0 0 28 24 32 3
+8 0 0 0 0 30 24 32 3.6
+8 0 0 0 0 32 24 32 4.2
+8 0 0 0 0 34 24 32 4.8
+8 0 0 0 0 36 24 32 5.4
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 2.7
+9 0 1 0 0 10 24 32 2.4
+9 0 1 0 0 11 24 32 2.1
+9 0 1 0 0 12 24 32 1.8
+9 0 1 0 0 13 24 32 1.5
+9 0 1 0 0 14 24 32 1.2
+9 0 1 0 0 15 24 32 0.9
+9 0 1 0 0 16 24 32 0.6
+9 0 1 0 0 17 24 32 0.3
+9 0 1 0 0 18 24 32 6.2803698347351e-16
+9 0 1 0 0 19 24 32 0.3
+9 0 1 0 0 20 24 32 0.600000000000001
+9 0 1 0 0 21 24 32 0.900000000000001
+9 0 1 0 0 22 24 32 1.2
+9 0 1 0 0 23 24 32 1.5
+9 0 1 0 0 24 24 32 1.8
+9 0 1 0 0 25 24 32 2.1
+9 0 1 0 0 26 24 32 2.4
+9 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 2.7
+10 0 1 0 0 10 24 32 2.4
+10 0 1 0 0 11 24 32 2.1
+10 0 1 0 0 12 24 32 1.8
+10 0 1 0 0 13 24 32 1.5
+10 0 1 0 0 14 24 32 1.2
+10 0 1 0 0 15 24 32 0.9
+10 0 1 0 0 16 24 32 0.6
+10 0 1 0 0 17 24 32 0.3
+10 0 1 0 0 18 24 32 6.2803698347351e-16
+10 0 1 0 0 19 24 32 0.3
+10 0 1 0 0 20 24 32 0.600000000000001
+10 0 1 0 0 21 24 32 0.900000000000001
+10 0 1 0 0 22 24 32 1.2
+10 0 1 0 0 23 24 32 1.5
+10 0 1 0 0 24 24 32 1.8
+10 0 1 0 0 25 24 32 2.1
+10 0 1 0 0 26 24 32 2.4
+10 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 5.4
+10 0 0 0 0 2 24 32 4.8
+10 0 0 0 0 4 24 32 4.2
+10 0 0 0 0 6 24 32 3.6
+10 0 0 0 0 8 24 32 3
+10 0 0 0 0 10 24 32 2.4
+10 0 0 0 0 12 24 32 1.8
+10 0 0 0 0 14 24 32 1.2
+10 0 0 0 0 16 24 32 0.6
+10 0 0 0 0 18 24 32 6.2803698347351e-16
+10 0 0 0 0 20 24 32 0.600000000000001
+10 0 0 0 0 22 24 32 1.2
+10 0 0 0 0 24 24 32 1.8
+10 0 0 0 0 26 24 32 2.4
+10 0 0 0 0 28 24 32 3
+10 0 0 0 0 30 24 32 3.6
+10 0 0 0 0 32 24 32 4.2
+10 0 0 0 0 34 24 32 4.8
+10 0 0 0 0 36 24 32 5.4
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 2.7
+11 0 1 0 0 10 24 32 2.4
+11 0 1 0 0 11 24 32 2.1
+11 0 1 0 0 12 24 32 1.8
+11 0 1 0 0 13 24 32 1.5
+11 0 1 0 0 14 24 32 1.2
+11 0 1 0 0 15 24 32 0.9
+11 0 1 0 0 16 24 32 0.6
+11 0 1 0 0 17 24 32 0.3
+11 0 1 0 0 18 24 32 6.2803698347351e-16
+11 0 1 0 0 19 24 32 0.3
+11 0 1 0 0 20 24 32 0.600000000000001
+11 0 1 0 0 21 24 32 0.900000000000001
+11 0 1 0 0 22 24 32 1.2
+11 0 1 0 0 23 24 32 1.5
+11 0 1 0 0 24 24 32 1.8
+11 0 1 0 0 25 24 32 2.1
+11 0 1 0 0 26 24 32 2.4
+11 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 2.7
+12 0 1 0 0 10 24 32 2.4
+12 0 1 0 0 11 24 32 2.1
+12 0 1 0 0 12 24 32 1.8
+12 0 1 0 0 13 24 32 1.5
+12 0 1 0 0 14 24 32 1.2
+12 0 1 0 0 15 24 32 0.9
+12 0 1 0 0 16 24 32 0.6
+12 0 1 0 0 17 24 32 0.3
+12 0 1 0 0 18 24 32 6.2803698347351e-16
+12 0 1 0 0 19 24 32 0.3
+12 0 1 0 0 20 24 32 0.600000000000001
+12 0 1 0 0 21 24 32 0.900000000000001
+12 0 1 0 0 22 24 32 1.2
+12 0 1 0 0 23 24 32 1.5
+12 0 1 0 0 24 24 32 1.8
+12 0 1 0 0 25 24 32 2.1
+12 0 1 0 0 26 24 32 2.4
+12 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 5.4
+12 0 0 0 0 2 24 32 4.8
+12 0 0 0 0 4 24 32 4.2
+12 0 0 0 0 6 24 32 3.6
+12 0 0 0 0 8 24 32 3
+12 0 0 0 0 10 24 32 2.4
+12 0 0 0 0 12 24 32 1.8
+12 0 0 0 0 14 24 32 1.2
+12 0 0 0 0 16 24 32 0.6
+12 0 0 0 0 18 24 32 6.2803698347351e-16
+12 0 0 0 0 20 24 32 0.600000000000001
+12 0 0 0 0 22 24 32 1.2
+12 0 0 0 0 24 24 32 1.8
+12 0 0 0 0 26 24 32 2.4
+12 0 0 0 0 28 24 32 3
+12 0 0 0 0 30 24 32 3.6
+12 0 0 0 0 32 24 32 4.2
+12 0 0 0 0 34 24 32 4.8
+12 0 0 0 0 36 24 32 5.4
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.yl
new file mode 100644
index 000000000..68dfcb5aa
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.yl
@@ -0,0 +1,622 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 3.3
+0 0 1 0 0 18 14 32 3
+0 0 1 0 0 18 15 32 2.7
+0 0 1 0 0 18 16 32 2.4
+0 0 1 0 0 18 17 32 2.1
+0 0 1 0 0 18 18 32 1.8
+0 0 1 0 0 18 19 32 1.5
+0 0 1 0 0 18 20 32 1.2
+0 0 1 0 0 18 21 32 0.9
+0 0 1 0 0 18 22 32 0.6
+0 0 1 0 0 18 23 32 0.3
+0 0 1 0 0 18 24 32 6.2803698347351e-16
+0 0 1 0 0 18 25 32 0.3
+0 0 1 0 0 18 26 32 0.6
+0 0 1 0 0 18 27 32 0.899999999999999
+0 0 1 0 0 18 28 32 1.2
+0 0 1 0 0 18 29 32 1.5
+0 0 1 0 0 18 30 32 1.8
+0 0 1 0 0 18 31 32 2.1
+0 0 1 0 0 18 32 32 2.4
+0 0 1 0 0 18 33 32 2.7
+0 0 1 0 0 18 34 32 3
+0 0 1 0 0 18 35 32 3.3
+0 0 1 0 0 18 36 32 3.6
+0 0 1 0 0 18 37 32 3.9
+0 0 1 0 0 18 38 32 4.2
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 7.2
+0 0 0 0 0 18 2 32 6.6
+0 0 0 0 0 18 4 32 6
+0 0 0 0 0 18 6 32 5.4
+0 0 0 0 0 18 8 32 4.8
+0 0 0 0 0 18 10 32 4.2
+0 0 0 0 0 18 12 32 3.6
+0 0 0 0 0 18 14 32 3
+0 0 0 0 0 18 16 32 2.4
+0 0 0 0 0 18 18 32 1.8
+0 0 0 0 0 18 20 32 1.2
+0 0 0 0 0 18 22 32 0.6
+0 0 0 0 0 18 24 32 6.2803698347351e-16
+0 0 0 0 0 18 26 32 0.6
+0 0 0 0 0 18 28 32 1.2
+0 0 0 0 0 18 30 32 1.8
+0 0 0 0 0 18 32 32 2.4
+0 0 0 0 0 18 34 32 3
+0 0 0 0 0 18 36 32 3.6
+0 0 0 0 0 18 38 32 4.2
+0 0 0 0 0 18 40 32 4.8
+0 0 0 0 0 18 42 32 5.4
+0 0 0 0 0 18 44 32 6
+0 0 0 0 0 18 46 32 6.6
+0 0 0 0 0 18 48 32 7.2
+0 0 0 0 0 18 50 32 7.8
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 3.3
+1 0 1 0 0 18 14 32 3
+1 0 1 0 0 18 15 32 2.7
+1 0 1 0 0 18 16 32 2.4
+1 0 1 0 0 18 17 32 2.1
+1 0 1 0 0 18 18 32 1.8
+1 0 1 0 0 18 19 32 1.5
+1 0 1 0 0 18 20 32 1.2
+1 0 1 0 0 18 21 32 0.9
+1 0 1 0 0 18 22 32 0.6
+1 0 1 0 0 18 23 32 0.3
+1 0 1 0 0 18 24 32 6.2803698347351e-16
+1 0 1 0 0 18 25 32 0.3
+1 0 1 0 0 18 26 32 0.6
+1 0 1 0 0 18 27 32 0.899999999999999
+1 0 1 0 0 18 28 32 1.2
+1 0 1 0 0 18 29 32 1.5
+1 0 1 0 0 18 30 32 1.8
+1 0 1 0 0 18 31 32 2.1
+1 0 1 0 0 18 32 32 2.4
+1 0 1 0 0 18 33 32 2.7
+1 0 1 0 0 18 34 32 3
+1 0 1 0 0 18 35 32 3.3
+1 0 1 0 0 18 36 32 3.6
+1 0 1 0 0 18 37 32 3.9
+1 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 3.3
+2 0 1 0 0 18 14 32 3
+2 0 1 0 0 18 15 32 2.7
+2 0 1 0 0 18 16 32 2.4
+2 0 1 0 0 18 17 32 2.1
+2 0 1 0 0 18 18 32 1.8
+2 0 1 0 0 18 19 32 1.5
+2 0 1 0 0 18 20 32 1.2
+2 0 1 0 0 18 21 32 0.9
+2 0 1 0 0 18 22 32 0.6
+2 0 1 0 0 18 23 32 0.3
+2 0 1 0 0 18 24 32 6.2803698347351e-16
+2 0 1 0 0 18 25 32 0.3
+2 0 1 0 0 18 26 32 0.6
+2 0 1 0 0 18 27 32 0.899999999999999
+2 0 1 0 0 18 28 32 1.2
+2 0 1 0 0 18 29 32 1.5
+2 0 1 0 0 18 30 32 1.8
+2 0 1 0 0 18 31 32 2.1
+2 0 1 0 0 18 32 32 2.4
+2 0 1 0 0 18 33 32 2.7
+2 0 1 0 0 18 34 32 3
+2 0 1 0 0 18 35 32 3.3
+2 0 1 0 0 18 36 32 3.6
+2 0 1 0 0 18 37 32 3.9
+2 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 7.2
+2 0 0 0 0 18 2 32 6.6
+2 0 0 0 0 18 4 32 6
+2 0 0 0 0 18 6 32 5.4
+2 0 0 0 0 18 8 32 4.8
+2 0 0 0 0 18 10 32 4.2
+2 0 0 0 0 18 12 32 3.6
+2 0 0 0 0 18 14 32 3
+2 0 0 0 0 18 16 32 2.4
+2 0 0 0 0 18 18 32 1.8
+2 0 0 0 0 18 20 32 1.2
+2 0 0 0 0 18 22 32 0.6
+2 0 0 0 0 18 24 32 6.2803698347351e-16
+2 0 0 0 0 18 26 32 0.6
+2 0 0 0 0 18 28 32 1.2
+2 0 0 0 0 18 30 32 1.8
+2 0 0 0 0 18 32 32 2.4
+2 0 0 0 0 18 34 32 3
+2 0 0 0 0 18 36 32 3.6
+2 0 0 0 0 18 38 32 4.2
+2 0 0 0 0 18 40 32 4.8
+2 0 0 0 0 18 42 32 5.4
+2 0 0 0 0 18 44 32 6
+2 0 0 0 0 18 46 32 6.6
+2 0 0 0 0 18 48 32 7.2
+2 0 0 0 0 18 50 32 7.8
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 3.3
+3 0 1 0 0 18 14 32 3
+3 0 1 0 0 18 15 32 2.7
+3 0 1 0 0 18 16 32 2.4
+3 0 1 0 0 18 17 32 2.1
+3 0 1 0 0 18 18 32 1.8
+3 0 1 0 0 18 19 32 1.5
+3 0 1 0 0 18 20 32 1.2
+3 0 1 0 0 18 21 32 0.9
+3 0 1 0 0 18 22 32 0.6
+3 0 1 0 0 18 23 32 0.3
+3 0 1 0 0 18 24 32 6.2803698347351e-16
+3 0 1 0 0 18 25 32 0.3
+3 0 1 0 0 18 26 32 0.6
+3 0 1 0 0 18 27 32 0.899999999999999
+3 0 1 0 0 18 28 32 1.2
+3 0 1 0 0 18 29 32 1.5
+3 0 1 0 0 18 30 32 1.8
+3 0 1 0 0 18 31 32 2.1
+3 0 1 0 0 18 32 32 2.4
+3 0 1 0 0 18 33 32 2.7
+3 0 1 0 0 18 34 32 3
+3 0 1 0 0 18 35 32 3.3
+3 0 1 0 0 18 36 32 3.6
+3 0 1 0 0 18 37 32 3.9
+3 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 3.3
+4 0 1 0 0 18 14 32 3
+4 0 1 0 0 18 15 32 2.7
+4 0 1 0 0 18 16 32 2.4
+4 0 1 0 0 18 17 32 2.1
+4 0 1 0 0 18 18 32 1.8
+4 0 1 0 0 18 19 32 1.5
+4 0 1 0 0 18 20 32 1.2
+4 0 1 0 0 18 21 32 0.9
+4 0 1 0 0 18 22 32 0.6
+4 0 1 0 0 18 23 32 0.3
+4 0 1 0 0 18 24 32 6.2803698347351e-16
+4 0 1 0 0 18 25 32 0.3
+4 0 1 0 0 18 26 32 0.6
+4 0 1 0 0 18 27 32 0.899999999999999
+4 0 1 0 0 18 28 32 1.2
+4 0 1 0 0 18 29 32 1.5
+4 0 1 0 0 18 30 32 1.8
+4 0 1 0 0 18 31 32 2.1
+4 0 1 0 0 18 32 32 2.4
+4 0 1 0 0 18 33 32 2.7
+4 0 1 0 0 18 34 32 3
+4 0 1 0 0 18 35 32 3.3
+4 0 1 0 0 18 36 32 3.6
+4 0 1 0 0 18 37 32 3.9
+4 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 7.2
+4 0 0 0 0 18 2 32 6.6
+4 0 0 0 0 18 4 32 6
+4 0 0 0 0 18 6 32 5.4
+4 0 0 0 0 18 8 32 4.8
+4 0 0 0 0 18 10 32 4.2
+4 0 0 0 0 18 12 32 3.6
+4 0 0 0 0 18 14 32 3
+4 0 0 0 0 18 16 32 2.4
+4 0 0 0 0 18 18 32 1.8
+4 0 0 0 0 18 20 32 1.2
+4 0 0 0 0 18 22 32 0.6
+4 0 0 0 0 18 24 32 6.2803698347351e-16
+4 0 0 0 0 18 26 32 0.6
+4 0 0 0 0 18 28 32 1.2
+4 0 0 0 0 18 30 32 1.8
+4 0 0 0 0 18 32 32 2.4
+4 0 0 0 0 18 34 32 3
+4 0 0 0 0 18 36 32 3.6
+4 0 0 0 0 18 38 32 4.2
+4 0 0 0 0 18 40 32 4.8
+4 0 0 0 0 18 42 32 5.4
+4 0 0 0 0 18 44 32 6
+4 0 0 0 0 18 46 32 6.6
+4 0 0 0 0 18 48 32 7.2
+4 0 0 0 0 18 50 32 7.8
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 3.3
+5 0 1 0 0 18 14 32 3
+5 0 1 0 0 18 15 32 2.7
+5 0 1 0 0 18 16 32 2.4
+5 0 1 0 0 18 17 32 2.1
+5 0 1 0 0 18 18 32 1.8
+5 0 1 0 0 18 19 32 1.5
+5 0 1 0 0 18 20 32 1.2
+5 0 1 0 0 18 21 32 0.9
+5 0 1 0 0 18 22 32 0.6
+5 0 1 0 0 18 23 32 0.3
+5 0 1 0 0 18 24 32 6.2803698347351e-16
+5 0 1 0 0 18 25 32 0.3
+5 0 1 0 0 18 26 32 0.6
+5 0 1 0 0 18 27 32 0.899999999999999
+5 0 1 0 0 18 28 32 1.2
+5 0 1 0 0 18 29 32 1.5
+5 0 1 0 0 18 30 32 1.8
+5 0 1 0 0 18 31 32 2.1
+5 0 1 0 0 18 32 32 2.4
+5 0 1 0 0 18 33 32 2.7
+5 0 1 0 0 18 34 32 3
+5 0 1 0 0 18 35 32 3.3
+5 0 1 0 0 18 36 32 3.6
+5 0 1 0 0 18 37 32 3.9
+5 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 3.3
+6 0 1 0 0 18 14 32 3
+6 0 1 0 0 18 15 32 2.7
+6 0 1 0 0 18 16 32 2.4
+6 0 1 0 0 18 17 32 2.1
+6 0 1 0 0 18 18 32 1.8
+6 0 1 0 0 18 19 32 1.5
+6 0 1 0 0 18 20 32 1.2
+6 0 1 0 0 18 21 32 0.9
+6 0 1 0 0 18 22 32 0.6
+6 0 1 0 0 18 23 32 0.3
+6 0 1 0 0 18 24 32 6.2803698347351e-16
+6 0 1 0 0 18 25 32 0.3
+6 0 1 0 0 18 26 32 0.6
+6 0 1 0 0 18 27 32 0.899999999999999
+6 0 1 0 0 18 28 32 1.2
+6 0 1 0 0 18 29 32 1.5
+6 0 1 0 0 18 30 32 1.8
+6 0 1 0 0 18 31 32 2.1
+6 0 1 0 0 18 32 32 2.4
+6 0 1 0 0 18 33 32 2.7
+6 0 1 0 0 18 34 32 3
+6 0 1 0 0 18 35 32 3.3
+6 0 1 0 0 18 36 32 3.6
+6 0 1 0 0 18 37 32 3.9
+6 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 7.2
+6 0 0 0 0 18 2 32 6.6
+6 0 0 0 0 18 4 32 6
+6 0 0 0 0 18 6 32 5.4
+6 0 0 0 0 18 8 32 4.8
+6 0 0 0 0 18 10 32 4.2
+6 0 0 0 0 18 12 32 3.6
+6 0 0 0 0 18 14 32 3
+6 0 0 0 0 18 16 32 2.4
+6 0 0 0 0 18 18 32 1.8
+6 0 0 0 0 18 20 32 1.2
+6 0 0 0 0 18 22 32 0.6
+6 0 0 0 0 18 24 32 6.2803698347351e-16
+6 0 0 0 0 18 26 32 0.6
+6 0 0 0 0 18 28 32 1.2
+6 0 0 0 0 18 30 32 1.8
+6 0 0 0 0 18 32 32 2.4
+6 0 0 0 0 18 34 32 3
+6 0 0 0 0 18 36 32 3.6
+6 0 0 0 0 18 38 32 4.2
+6 0 0 0 0 18 40 32 4.8
+6 0 0 0 0 18 42 32 5.4
+6 0 0 0 0 18 44 32 6
+6 0 0 0 0 18 46 32 6.6
+6 0 0 0 0 18 48 32 7.2
+6 0 0 0 0 18 50 32 7.8
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 3.3
+7 0 1 0 0 18 14 32 3
+7 0 1 0 0 18 15 32 2.7
+7 0 1 0 0 18 16 32 2.4
+7 0 1 0 0 18 17 32 2.1
+7 0 1 0 0 18 18 32 1.8
+7 0 1 0 0 18 19 32 1.5
+7 0 1 0 0 18 20 32 1.2
+7 0 1 0 0 18 21 32 0.9
+7 0 1 0 0 18 22 32 0.6
+7 0 1 0 0 18 23 32 0.3
+7 0 1 0 0 18 24 32 6.2803698347351e-16
+7 0 1 0 0 18 25 32 0.3
+7 0 1 0 0 18 26 32 0.6
+7 0 1 0 0 18 27 32 0.899999999999999
+7 0 1 0 0 18 28 32 1.2
+7 0 1 0 0 18 29 32 1.5
+7 0 1 0 0 18 30 32 1.8
+7 0 1 0 0 18 31 32 2.1
+7 0 1 0 0 18 32 32 2.4
+7 0 1 0 0 18 33 32 2.7
+7 0 1 0 0 18 34 32 3
+7 0 1 0 0 18 35 32 3.3
+7 0 1 0 0 18 36 32 3.6
+7 0 1 0 0 18 37 32 3.9
+7 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 3.3
+8 0 1 0 0 18 14 32 3
+8 0 1 0 0 18 15 32 2.7
+8 0 1 0 0 18 16 32 2.4
+8 0 1 0 0 18 17 32 2.1
+8 0 1 0 0 18 18 32 1.8
+8 0 1 0 0 18 19 32 1.5
+8 0 1 0 0 18 20 32 1.2
+8 0 1 0 0 18 21 32 0.9
+8 0 1 0 0 18 22 32 0.6
+8 0 1 0 0 18 23 32 0.3
+8 0 1 0 0 18 24 32 6.2803698347351e-16
+8 0 1 0 0 18 25 32 0.3
+8 0 1 0 0 18 26 32 0.6
+8 0 1 0 0 18 27 32 0.899999999999999
+8 0 1 0 0 18 28 32 1.2
+8 0 1 0 0 18 29 32 1.5
+8 0 1 0 0 18 30 32 1.8
+8 0 1 0 0 18 31 32 2.1
+8 0 1 0 0 18 32 32 2.4
+8 0 1 0 0 18 33 32 2.7
+8 0 1 0 0 18 34 32 3
+8 0 1 0 0 18 35 32 3.3
+8 0 1 0 0 18 36 32 3.6
+8 0 1 0 0 18 37 32 3.9
+8 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 7.2
+8 0 0 0 0 18 2 32 6.6
+8 0 0 0 0 18 4 32 6
+8 0 0 0 0 18 6 32 5.4
+8 0 0 0 0 18 8 32 4.8
+8 0 0 0 0 18 10 32 4.2
+8 0 0 0 0 18 12 32 3.6
+8 0 0 0 0 18 14 32 3
+8 0 0 0 0 18 16 32 2.4
+8 0 0 0 0 18 18 32 1.8
+8 0 0 0 0 18 20 32 1.2
+8 0 0 0 0 18 22 32 0.6
+8 0 0 0 0 18 24 32 6.2803698347351e-16
+8 0 0 0 0 18 26 32 0.6
+8 0 0 0 0 18 28 32 1.2
+8 0 0 0 0 18 30 32 1.8
+8 0 0 0 0 18 32 32 2.4
+8 0 0 0 0 18 34 32 3
+8 0 0 0 0 18 36 32 3.6
+8 0 0 0 0 18 38 32 4.2
+8 0 0 0 0 18 40 32 4.8
+8 0 0 0 0 18 42 32 5.4
+8 0 0 0 0 18 44 32 6
+8 0 0 0 0 18 46 32 6.6
+8 0 0 0 0 18 48 32 7.2
+8 0 0 0 0 18 50 32 7.8
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 3.3
+9 0 1 0 0 18 14 32 3
+9 0 1 0 0 18 15 32 2.7
+9 0 1 0 0 18 16 32 2.4
+9 0 1 0 0 18 17 32 2.1
+9 0 1 0 0 18 18 32 1.8
+9 0 1 0 0 18 19 32 1.5
+9 0 1 0 0 18 20 32 1.2
+9 0 1 0 0 18 21 32 0.9
+9 0 1 0 0 18 22 32 0.6
+9 0 1 0 0 18 23 32 0.3
+9 0 1 0 0 18 24 32 6.2803698347351e-16
+9 0 1 0 0 18 25 32 0.3
+9 0 1 0 0 18 26 32 0.6
+9 0 1 0 0 18 27 32 0.899999999999999
+9 0 1 0 0 18 28 32 1.2
+9 0 1 0 0 18 29 32 1.5
+9 0 1 0 0 18 30 32 1.8
+9 0 1 0 0 18 31 32 2.1
+9 0 1 0 0 18 32 32 2.4
+9 0 1 0 0 18 33 32 2.7
+9 0 1 0 0 18 34 32 3
+9 0 1 0 0 18 35 32 3.3
+9 0 1 0 0 18 36 32 3.6
+9 0 1 0 0 18 37 32 3.9
+9 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 3.3
+10 0 1 0 0 18 14 32 3
+10 0 1 0 0 18 15 32 2.7
+10 0 1 0 0 18 16 32 2.4
+10 0 1 0 0 18 17 32 2.1
+10 0 1 0 0 18 18 32 1.8
+10 0 1 0 0 18 19 32 1.5
+10 0 1 0 0 18 20 32 1.2
+10 0 1 0 0 18 21 32 0.9
+10 0 1 0 0 18 22 32 0.6
+10 0 1 0 0 18 23 32 0.3
+10 0 1 0 0 18 24 32 6.2803698347351e-16
+10 0 1 0 0 18 25 32 0.3
+10 0 1 0 0 18 26 32 0.6
+10 0 1 0 0 18 27 32 0.899999999999999
+10 0 1 0 0 18 28 32 1.2
+10 0 1 0 0 18 29 32 1.5
+10 0 1 0 0 18 30 32 1.8
+10 0 1 0 0 18 31 32 2.1
+10 0 1 0 0 18 32 32 2.4
+10 0 1 0 0 18 33 32 2.7
+10 0 1 0 0 18 34 32 3
+10 0 1 0 0 18 35 32 3.3
+10 0 1 0 0 18 36 32 3.6
+10 0 1 0 0 18 37 32 3.9
+10 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 7.2
+10 0 0 0 0 18 2 32 6.6
+10 0 0 0 0 18 4 32 6
+10 0 0 0 0 18 6 32 5.4
+10 0 0 0 0 18 8 32 4.8
+10 0 0 0 0 18 10 32 4.2
+10 0 0 0 0 18 12 32 3.6
+10 0 0 0 0 18 14 32 3
+10 0 0 0 0 18 16 32 2.4
+10 0 0 0 0 18 18 32 1.8
+10 0 0 0 0 18 20 32 1.2
+10 0 0 0 0 18 22 32 0.6
+10 0 0 0 0 18 24 32 6.2803698347351e-16
+10 0 0 0 0 18 26 32 0.6
+10 0 0 0 0 18 28 32 1.2
+10 0 0 0 0 18 30 32 1.8
+10 0 0 0 0 18 32 32 2.4
+10 0 0 0 0 18 34 32 3
+10 0 0 0 0 18 36 32 3.6
+10 0 0 0 0 18 38 32 4.2
+10 0 0 0 0 18 40 32 4.8
+10 0 0 0 0 18 42 32 5.4
+10 0 0 0 0 18 44 32 6
+10 0 0 0 0 18 46 32 6.6
+10 0 0 0 0 18 48 32 7.2
+10 0 0 0 0 18 50 32 7.8
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 3.3
+11 0 1 0 0 18 14 32 3
+11 0 1 0 0 18 15 32 2.7
+11 0 1 0 0 18 16 32 2.4
+11 0 1 0 0 18 17 32 2.1
+11 0 1 0 0 18 18 32 1.8
+11 0 1 0 0 18 19 32 1.5
+11 0 1 0 0 18 20 32 1.2
+11 0 1 0 0 18 21 32 0.9
+11 0 1 0 0 18 22 32 0.6
+11 0 1 0 0 18 23 32 0.3
+11 0 1 0 0 18 24 32 6.2803698347351e-16
+11 0 1 0 0 18 25 32 0.3
+11 0 1 0 0 18 26 32 0.6
+11 0 1 0 0 18 27 32 0.899999999999999
+11 0 1 0 0 18 28 32 1.2
+11 0 1 0 0 18 29 32 1.5
+11 0 1 0 0 18 30 32 1.8
+11 0 1 0 0 18 31 32 2.1
+11 0 1 0 0 18 32 32 2.4
+11 0 1 0 0 18 33 32 2.7
+11 0 1 0 0 18 34 32 3
+11 0 1 0 0 18 35 32 3.3
+11 0 1 0 0 18 36 32 3.6
+11 0 1 0 0 18 37 32 3.9
+11 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 3.3
+12 0 1 0 0 18 14 32 3
+12 0 1 0 0 18 15 32 2.7
+12 0 1 0 0 18 16 32 2.4
+12 0 1 0 0 18 17 32 2.1
+12 0 1 0 0 18 18 32 1.8
+12 0 1 0 0 18 19 32 1.5
+12 0 1 0 0 18 20 32 1.2
+12 0 1 0 0 18 21 32 0.9
+12 0 1 0 0 18 22 32 0.6
+12 0 1 0 0 18 23 32 0.3
+12 0 1 0 0 18 24 32 6.2803698347351e-16
+12 0 1 0 0 18 25 32 0.3
+12 0 1 0 0 18 26 32 0.6
+12 0 1 0 0 18 27 32 0.899999999999999
+12 0 1 0 0 18 28 32 1.2
+12 0 1 0 0 18 29 32 1.5
+12 0 1 0 0 18 30 32 1.8
+12 0 1 0 0 18 31 32 2.1
+12 0 1 0 0 18 32 32 2.4
+12 0 1 0 0 18 33 32 2.7
+12 0 1 0 0 18 34 32 3
+12 0 1 0 0 18 35 32 3.3
+12 0 1 0 0 18 36 32 3.6
+12 0 1 0 0 18 37 32 3.9
+12 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 7.2
+12 0 0 0 0 18 2 32 6.6
+12 0 0 0 0 18 4 32 6
+12 0 0 0 0 18 6 32 5.4
+12 0 0 0 0 18 8 32 4.8
+12 0 0 0 0 18 10 32 4.2
+12 0 0 0 0 18 12 32 3.6
+12 0 0 0 0 18 14 32 3
+12 0 0 0 0 18 16 32 2.4
+12 0 0 0 0 18 18 32 1.8
+12 0 0 0 0 18 20 32 1.2
+12 0 0 0 0 18 22 32 0.6
+12 0 0 0 0 18 24 32 6.2803698347351e-16
+12 0 0 0 0 18 26 32 0.6
+12 0 0 0 0 18 28 32 1.2
+12 0 0 0 0 18 30 32 1.8
+12 0 0 0 0 18 32 32 2.4
+12 0 0 0 0 18 34 32 3
+12 0 0 0 0 18 36 32 3.6
+12 0 0 0 0 18 38 32 4.2
+12 0 0 0 0 18 40 32 4.8
+12 0 0 0 0 18 42 32 5.4
+12 0 0 0 0 18 44 32 6
+12 0 0 0 0 18 46 32 6.6
+12 0 0 0 0 18 48 32 7.2
+12 0 0 0 0 18 50 32 7.8
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.zl
new file mode 100644
index 000000000..28167d1c4
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/spher3d_r.zl
@@ -0,0 +1,782 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 4.5
+0 0 1 0 0 18 24 18 4.2
+0 0 1 0 0 18 24 19 3.9
+0 0 1 0 0 18 24 20 3.6
+0 0 1 0 0 18 24 21 3.3
+0 0 1 0 0 18 24 22 3
+0 0 1 0 0 18 24 23 2.7
+0 0 1 0 0 18 24 24 2.4
+0 0 1 0 0 18 24 25 2.1
+0 0 1 0 0 18 24 26 1.8
+0 0 1 0 0 18 24 27 1.5
+0 0 1 0 0 18 24 28 1.2
+0 0 1 0 0 18 24 29 0.9
+0 0 1 0 0 18 24 30 0.6
+0 0 1 0 0 18 24 31 0.3
+0 0 1 0 0 18 24 32 6.2803698347351e-16
+0 0 1 0 0 18 24 33 0.3
+0 0 1 0 0 18 24 34 0.6
+0 0 1 0 0 18 24 35 0.9
+0 0 1 0 0 18 24 36 1.2
+0 0 1 0 0 18 24 37 1.5
+0 0 1 0 0 18 24 38 1.8
+0 0 1 0 0 18 24 39 2.1
+0 0 1 0 0 18 24 40 2.4
+0 0 1 0 0 18 24 41 2.7
+0 0 1 0 0 18 24 42 3
+0 0 1 0 0 18 24 43 3.3
+0 0 1 0 0 18 24 44 3.6
+0 0 1 0 0 18 24 45 3.9
+0 0 1 0 0 18 24 46 4.2
+0 0 1 0 0 18 24 47 4.5
+0 0 1 0 0 18 24 48 4.8
+0 0 1 0 0 18 24 49 5.1
+0 0 1 0 0 18 24 50 5.4
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 9.6
+0 0 0 0 0 18 24 2 9
+0 0 0 0 0 18 24 4 8.4
+0 0 0 0 0 18 24 6 7.8
+0 0 0 0 0 18 24 8 7.2
+0 0 0 0 0 18 24 10 6.6
+0 0 0 0 0 18 24 12 6
+0 0 0 0 0 18 24 14 5.4
+0 0 0 0 0 18 24 16 4.8
+0 0 0 0 0 18 24 18 4.2
+0 0 0 0 0 18 24 20 3.6
+0 0 0 0 0 18 24 22 3
+0 0 0 0 0 18 24 24 2.4
+0 0 0 0 0 18 24 26 1.8
+0 0 0 0 0 18 24 28 1.2
+0 0 0 0 0 18 24 30 0.6
+0 0 0 0 0 18 24 32 6.2803698347351e-16
+0 0 0 0 0 18 24 34 0.6
+0 0 0 0 0 18 24 36 1.2
+0 0 0 0 0 18 24 38 1.8
+0 0 0 0 0 18 24 40 2.4
+0 0 0 0 0 18 24 42 3
+0 0 0 0 0 18 24 44 3.6
+0 0 0 0 0 18 24 46 4.2
+0 0 0 0 0 18 24 48 4.8
+0 0 0 0 0 18 24 50 5.4
+0 0 0 0 0 18 24 52 6
+0 0 0 0 0 18 24 54 6.6
+0 0 0 0 0 18 24 56 7.2
+0 0 0 0 0 18 24 58 7.8
+0 0 0 0 0 18 24 60 8.4
+0 0 0 0 0 18 24 62 9
+0 0 0 0 0 18 24 64 9.6
+0 0 0 0 0 18 24 66 10.2
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 4.5
+1 0 1 0 0 18 24 18 4.2
+1 0 1 0 0 18 24 19 3.9
+1 0 1 0 0 18 24 20 3.6
+1 0 1 0 0 18 24 21 3.3
+1 0 1 0 0 18 24 22 3
+1 0 1 0 0 18 24 23 2.7
+1 0 1 0 0 18 24 24 2.4
+1 0 1 0 0 18 24 25 2.1
+1 0 1 0 0 18 24 26 1.8
+1 0 1 0 0 18 24 27 1.5
+1 0 1 0 0 18 24 28 1.2
+1 0 1 0 0 18 24 29 0.9
+1 0 1 0 0 18 24 30 0.6
+1 0 1 0 0 18 24 31 0.3
+1 0 1 0 0 18 24 32 6.2803698347351e-16
+1 0 1 0 0 18 24 33 0.3
+1 0 1 0 0 18 24 34 0.6
+1 0 1 0 0 18 24 35 0.9
+1 0 1 0 0 18 24 36 1.2
+1 0 1 0 0 18 24 37 1.5
+1 0 1 0 0 18 24 38 1.8
+1 0 1 0 0 18 24 39 2.1
+1 0 1 0 0 18 24 40 2.4
+1 0 1 0 0 18 24 41 2.7
+1 0 1 0 0 18 24 42 3
+1 0 1 0 0 18 24 43 3.3
+1 0 1 0 0 18 24 44 3.6
+1 0 1 0 0 18 24 45 3.9
+1 0 1 0 0 18 24 46 4.2
+1 0 1 0 0 18 24 47 4.5
+1 0 1 0 0 18 24 48 4.8
+1 0 1 0 0 18 24 49 5.1
+1 0 1 0 0 18 24 50 5.4
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 4.5
+2 0 1 0 0 18 24 18 4.2
+2 0 1 0 0 18 24 19 3.9
+2 0 1 0 0 18 24 20 3.6
+2 0 1 0 0 18 24 21 3.3
+2 0 1 0 0 18 24 22 3
+2 0 1 0 0 18 24 23 2.7
+2 0 1 0 0 18 24 24 2.4
+2 0 1 0 0 18 24 25 2.1
+2 0 1 0 0 18 24 26 1.8
+2 0 1 0 0 18 24 27 1.5
+2 0 1 0 0 18 24 28 1.2
+2 0 1 0 0 18 24 29 0.9
+2 0 1 0 0 18 24 30 0.6
+2 0 1 0 0 18 24 31 0.3
+2 0 1 0 0 18 24 32 6.2803698347351e-16
+2 0 1 0 0 18 24 33 0.3
+2 0 1 0 0 18 24 34 0.6
+2 0 1 0 0 18 24 35 0.9
+2 0 1 0 0 18 24 36 1.2
+2 0 1 0 0 18 24 37 1.5
+2 0 1 0 0 18 24 38 1.8
+2 0 1 0 0 18 24 39 2.1
+2 0 1 0 0 18 24 40 2.4
+2 0 1 0 0 18 24 41 2.7
+2 0 1 0 0 18 24 42 3
+2 0 1 0 0 18 24 43 3.3
+2 0 1 0 0 18 24 44 3.6
+2 0 1 0 0 18 24 45 3.9
+2 0 1 0 0 18 24 46 4.2
+2 0 1 0 0 18 24 47 4.5
+2 0 1 0 0 18 24 48 4.8
+2 0 1 0 0 18 24 49 5.1
+2 0 1 0 0 18 24 50 5.4
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 9.6
+2 0 0 0 0 18 24 2 9
+2 0 0 0 0 18 24 4 8.4
+2 0 0 0 0 18 24 6 7.8
+2 0 0 0 0 18 24 8 7.2
+2 0 0 0 0 18 24 10 6.6
+2 0 0 0 0 18 24 12 6
+2 0 0 0 0 18 24 14 5.4
+2 0 0 0 0 18 24 16 4.8
+2 0 0 0 0 18 24 18 4.2
+2 0 0 0 0 18 24 20 3.6
+2 0 0 0 0 18 24 22 3
+2 0 0 0 0 18 24 24 2.4
+2 0 0 0 0 18 24 26 1.8
+2 0 0 0 0 18 24 28 1.2
+2 0 0 0 0 18 24 30 0.6
+2 0 0 0 0 18 24 32 6.2803698347351e-16
+2 0 0 0 0 18 24 34 0.6
+2 0 0 0 0 18 24 36 1.2
+2 0 0 0 0 18 24 38 1.8
+2 0 0 0 0 18 24 40 2.4
+2 0 0 0 0 18 24 42 3
+2 0 0 0 0 18 24 44 3.6
+2 0 0 0 0 18 24 46 4.2
+2 0 0 0 0 18 24 48 4.8
+2 0 0 0 0 18 24 50 5.4
+2 0 0 0 0 18 24 52 6
+2 0 0 0 0 18 24 54 6.6
+2 0 0 0 0 18 24 56 7.2
+2 0 0 0 0 18 24 58 7.8
+2 0 0 0 0 18 24 60 8.4
+2 0 0 0 0 18 24 62 9
+2 0 0 0 0 18 24 64 9.6
+2 0 0 0 0 18 24 66 10.2
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 4.5
+3 0 1 0 0 18 24 18 4.2
+3 0 1 0 0 18 24 19 3.9
+3 0 1 0 0 18 24 20 3.6
+3 0 1 0 0 18 24 21 3.3
+3 0 1 0 0 18 24 22 3
+3 0 1 0 0 18 24 23 2.7
+3 0 1 0 0 18 24 24 2.4
+3 0 1 0 0 18 24 25 2.1
+3 0 1 0 0 18 24 26 1.8
+3 0 1 0 0 18 24 27 1.5
+3 0 1 0 0 18 24 28 1.2
+3 0 1 0 0 18 24 29 0.9
+3 0 1 0 0 18 24 30 0.6
+3 0 1 0 0 18 24 31 0.3
+3 0 1 0 0 18 24 32 6.2803698347351e-16
+3 0 1 0 0 18 24 33 0.3
+3 0 1 0 0 18 24 34 0.6
+3 0 1 0 0 18 24 35 0.9
+3 0 1 0 0 18 24 36 1.2
+3 0 1 0 0 18 24 37 1.5
+3 0 1 0 0 18 24 38 1.8
+3 0 1 0 0 18 24 39 2.1
+3 0 1 0 0 18 24 40 2.4
+3 0 1 0 0 18 24 41 2.7
+3 0 1 0 0 18 24 42 3
+3 0 1 0 0 18 24 43 3.3
+3 0 1 0 0 18 24 44 3.6
+3 0 1 0 0 18 24 45 3.9
+3 0 1 0 0 18 24 46 4.2
+3 0 1 0 0 18 24 47 4.5
+3 0 1 0 0 18 24 48 4.8
+3 0 1 0 0 18 24 49 5.1
+3 0 1 0 0 18 24 50 5.4
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 4.5
+4 0 1 0 0 18 24 18 4.2
+4 0 1 0 0 18 24 19 3.9
+4 0 1 0 0 18 24 20 3.6
+4 0 1 0 0 18 24 21 3.3
+4 0 1 0 0 18 24 22 3
+4 0 1 0 0 18 24 23 2.7
+4 0 1 0 0 18 24 24 2.4
+4 0 1 0 0 18 24 25 2.1
+4 0 1 0 0 18 24 26 1.8
+4 0 1 0 0 18 24 27 1.5
+4 0 1 0 0 18 24 28 1.2
+4 0 1 0 0 18 24 29 0.9
+4 0 1 0 0 18 24 30 0.6
+4 0 1 0 0 18 24 31 0.3
+4 0 1 0 0 18 24 32 6.2803698347351e-16
+4 0 1 0 0 18 24 33 0.3
+4 0 1 0 0 18 24 34 0.6
+4 0 1 0 0 18 24 35 0.9
+4 0 1 0 0 18 24 36 1.2
+4 0 1 0 0 18 24 37 1.5
+4 0 1 0 0 18 24 38 1.8
+4 0 1 0 0 18 24 39 2.1
+4 0 1 0 0 18 24 40 2.4
+4 0 1 0 0 18 24 41 2.7
+4 0 1 0 0 18 24 42 3
+4 0 1 0 0 18 24 43 3.3
+4 0 1 0 0 18 24 44 3.6
+4 0 1 0 0 18 24 45 3.9
+4 0 1 0 0 18 24 46 4.2
+4 0 1 0 0 18 24 47 4.5
+4 0 1 0 0 18 24 48 4.8
+4 0 1 0 0 18 24 49 5.1
+4 0 1 0 0 18 24 50 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 9.6
+4 0 0 0 0 18 24 2 9
+4 0 0 0 0 18 24 4 8.4
+4 0 0 0 0 18 24 6 7.8
+4 0 0 0 0 18 24 8 7.2
+4 0 0 0 0 18 24 10 6.6
+4 0 0 0 0 18 24 12 6
+4 0 0 0 0 18 24 14 5.4
+4 0 0 0 0 18 24 16 4.8
+4 0 0 0 0 18 24 18 4.2
+4 0 0 0 0 18 24 20 3.6
+4 0 0 0 0 18 24 22 3
+4 0 0 0 0 18 24 24 2.4
+4 0 0 0 0 18 24 26 1.8
+4 0 0 0 0 18 24 28 1.2
+4 0 0 0 0 18 24 30 0.6
+4 0 0 0 0 18 24 32 6.2803698347351e-16
+4 0 0 0 0 18 24 34 0.6
+4 0 0 0 0 18 24 36 1.2
+4 0 0 0 0 18 24 38 1.8
+4 0 0 0 0 18 24 40 2.4
+4 0 0 0 0 18 24 42 3
+4 0 0 0 0 18 24 44 3.6
+4 0 0 0 0 18 24 46 4.2
+4 0 0 0 0 18 24 48 4.8
+4 0 0 0 0 18 24 50 5.4
+4 0 0 0 0 18 24 52 6
+4 0 0 0 0 18 24 54 6.6
+4 0 0 0 0 18 24 56 7.2
+4 0 0 0 0 18 24 58 7.8
+4 0 0 0 0 18 24 60 8.4
+4 0 0 0 0 18 24 62 9
+4 0 0 0 0 18 24 64 9.6
+4 0 0 0 0 18 24 66 10.2
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 4.5
+5 0 1 0 0 18 24 18 4.2
+5 0 1 0 0 18 24 19 3.9
+5 0 1 0 0 18 24 20 3.6
+5 0 1 0 0 18 24 21 3.3
+5 0 1 0 0 18 24 22 3
+5 0 1 0 0 18 24 23 2.7
+5 0 1 0 0 18 24 24 2.4
+5 0 1 0 0 18 24 25 2.1
+5 0 1 0 0 18 24 26 1.8
+5 0 1 0 0 18 24 27 1.5
+5 0 1 0 0 18 24 28 1.2
+5 0 1 0 0 18 24 29 0.9
+5 0 1 0 0 18 24 30 0.6
+5 0 1 0 0 18 24 31 0.3
+5 0 1 0 0 18 24 32 6.2803698347351e-16
+5 0 1 0 0 18 24 33 0.3
+5 0 1 0 0 18 24 34 0.6
+5 0 1 0 0 18 24 35 0.9
+5 0 1 0 0 18 24 36 1.2
+5 0 1 0 0 18 24 37 1.5
+5 0 1 0 0 18 24 38 1.8
+5 0 1 0 0 18 24 39 2.1
+5 0 1 0 0 18 24 40 2.4
+5 0 1 0 0 18 24 41 2.7
+5 0 1 0 0 18 24 42 3
+5 0 1 0 0 18 24 43 3.3
+5 0 1 0 0 18 24 44 3.6
+5 0 1 0 0 18 24 45 3.9
+5 0 1 0 0 18 24 46 4.2
+5 0 1 0 0 18 24 47 4.5
+5 0 1 0 0 18 24 48 4.8
+5 0 1 0 0 18 24 49 5.1
+5 0 1 0 0 18 24 50 5.4
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 4.5
+6 0 1 0 0 18 24 18 4.2
+6 0 1 0 0 18 24 19 3.9
+6 0 1 0 0 18 24 20 3.6
+6 0 1 0 0 18 24 21 3.3
+6 0 1 0 0 18 24 22 3
+6 0 1 0 0 18 24 23 2.7
+6 0 1 0 0 18 24 24 2.4
+6 0 1 0 0 18 24 25 2.1
+6 0 1 0 0 18 24 26 1.8
+6 0 1 0 0 18 24 27 1.5
+6 0 1 0 0 18 24 28 1.2
+6 0 1 0 0 18 24 29 0.9
+6 0 1 0 0 18 24 30 0.6
+6 0 1 0 0 18 24 31 0.3
+6 0 1 0 0 18 24 32 6.2803698347351e-16
+6 0 1 0 0 18 24 33 0.3
+6 0 1 0 0 18 24 34 0.6
+6 0 1 0 0 18 24 35 0.9
+6 0 1 0 0 18 24 36 1.2
+6 0 1 0 0 18 24 37 1.5
+6 0 1 0 0 18 24 38 1.8
+6 0 1 0 0 18 24 39 2.1
+6 0 1 0 0 18 24 40 2.4
+6 0 1 0 0 18 24 41 2.7
+6 0 1 0 0 18 24 42 3
+6 0 1 0 0 18 24 43 3.3
+6 0 1 0 0 18 24 44 3.6
+6 0 1 0 0 18 24 45 3.9
+6 0 1 0 0 18 24 46 4.2
+6 0 1 0 0 18 24 47 4.5
+6 0 1 0 0 18 24 48 4.8
+6 0 1 0 0 18 24 49 5.1
+6 0 1 0 0 18 24 50 5.4
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 9.6
+6 0 0 0 0 18 24 2 9
+6 0 0 0 0 18 24 4 8.4
+6 0 0 0 0 18 24 6 7.8
+6 0 0 0 0 18 24 8 7.2
+6 0 0 0 0 18 24 10 6.6
+6 0 0 0 0 18 24 12 6
+6 0 0 0 0 18 24 14 5.4
+6 0 0 0 0 18 24 16 4.8
+6 0 0 0 0 18 24 18 4.2
+6 0 0 0 0 18 24 20 3.6
+6 0 0 0 0 18 24 22 3
+6 0 0 0 0 18 24 24 2.4
+6 0 0 0 0 18 24 26 1.8
+6 0 0 0 0 18 24 28 1.2
+6 0 0 0 0 18 24 30 0.6
+6 0 0 0 0 18 24 32 6.2803698347351e-16
+6 0 0 0 0 18 24 34 0.6
+6 0 0 0 0 18 24 36 1.2
+6 0 0 0 0 18 24 38 1.8
+6 0 0 0 0 18 24 40 2.4
+6 0 0 0 0 18 24 42 3
+6 0 0 0 0 18 24 44 3.6
+6 0 0 0 0 18 24 46 4.2
+6 0 0 0 0 18 24 48 4.8
+6 0 0 0 0 18 24 50 5.4
+6 0 0 0 0 18 24 52 6
+6 0 0 0 0 18 24 54 6.6
+6 0 0 0 0 18 24 56 7.2
+6 0 0 0 0 18 24 58 7.8
+6 0 0 0 0 18 24 60 8.4
+6 0 0 0 0 18 24 62 9
+6 0 0 0 0 18 24 64 9.6
+6 0 0 0 0 18 24 66 10.2
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 4.5
+7 0 1 0 0 18 24 18 4.2
+7 0 1 0 0 18 24 19 3.9
+7 0 1 0 0 18 24 20 3.6
+7 0 1 0 0 18 24 21 3.3
+7 0 1 0 0 18 24 22 3
+7 0 1 0 0 18 24 23 2.7
+7 0 1 0 0 18 24 24 2.4
+7 0 1 0 0 18 24 25 2.1
+7 0 1 0 0 18 24 26 1.8
+7 0 1 0 0 18 24 27 1.5
+7 0 1 0 0 18 24 28 1.2
+7 0 1 0 0 18 24 29 0.9
+7 0 1 0 0 18 24 30 0.6
+7 0 1 0 0 18 24 31 0.3
+7 0 1 0 0 18 24 32 6.2803698347351e-16
+7 0 1 0 0 18 24 33 0.3
+7 0 1 0 0 18 24 34 0.6
+7 0 1 0 0 18 24 35 0.9
+7 0 1 0 0 18 24 36 1.2
+7 0 1 0 0 18 24 37 1.5
+7 0 1 0 0 18 24 38 1.8
+7 0 1 0 0 18 24 39 2.1
+7 0 1 0 0 18 24 40 2.4
+7 0 1 0 0 18 24 41 2.7
+7 0 1 0 0 18 24 42 3
+7 0 1 0 0 18 24 43 3.3
+7 0 1 0 0 18 24 44 3.6
+7 0 1 0 0 18 24 45 3.9
+7 0 1 0 0 18 24 46 4.2
+7 0 1 0 0 18 24 47 4.5
+7 0 1 0 0 18 24 48 4.8
+7 0 1 0 0 18 24 49 5.1
+7 0 1 0 0 18 24 50 5.4
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 4.5
+8 0 1 0 0 18 24 18 4.2
+8 0 1 0 0 18 24 19 3.9
+8 0 1 0 0 18 24 20 3.6
+8 0 1 0 0 18 24 21 3.3
+8 0 1 0 0 18 24 22 3
+8 0 1 0 0 18 24 23 2.7
+8 0 1 0 0 18 24 24 2.4
+8 0 1 0 0 18 24 25 2.1
+8 0 1 0 0 18 24 26 1.8
+8 0 1 0 0 18 24 27 1.5
+8 0 1 0 0 18 24 28 1.2
+8 0 1 0 0 18 24 29 0.9
+8 0 1 0 0 18 24 30 0.6
+8 0 1 0 0 18 24 31 0.3
+8 0 1 0 0 18 24 32 6.2803698347351e-16
+8 0 1 0 0 18 24 33 0.3
+8 0 1 0 0 18 24 34 0.6
+8 0 1 0 0 18 24 35 0.9
+8 0 1 0 0 18 24 36 1.2
+8 0 1 0 0 18 24 37 1.5
+8 0 1 0 0 18 24 38 1.8
+8 0 1 0 0 18 24 39 2.1
+8 0 1 0 0 18 24 40 2.4
+8 0 1 0 0 18 24 41 2.7
+8 0 1 0 0 18 24 42 3
+8 0 1 0 0 18 24 43 3.3
+8 0 1 0 0 18 24 44 3.6
+8 0 1 0 0 18 24 45 3.9
+8 0 1 0 0 18 24 46 4.2
+8 0 1 0 0 18 24 47 4.5
+8 0 1 0 0 18 24 48 4.8
+8 0 1 0 0 18 24 49 5.1
+8 0 1 0 0 18 24 50 5.4
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 9.6
+8 0 0 0 0 18 24 2 9
+8 0 0 0 0 18 24 4 8.4
+8 0 0 0 0 18 24 6 7.8
+8 0 0 0 0 18 24 8 7.2
+8 0 0 0 0 18 24 10 6.6
+8 0 0 0 0 18 24 12 6
+8 0 0 0 0 18 24 14 5.4
+8 0 0 0 0 18 24 16 4.8
+8 0 0 0 0 18 24 18 4.2
+8 0 0 0 0 18 24 20 3.6
+8 0 0 0 0 18 24 22 3
+8 0 0 0 0 18 24 24 2.4
+8 0 0 0 0 18 24 26 1.8
+8 0 0 0 0 18 24 28 1.2
+8 0 0 0 0 18 24 30 0.6
+8 0 0 0 0 18 24 32 6.2803698347351e-16
+8 0 0 0 0 18 24 34 0.6
+8 0 0 0 0 18 24 36 1.2
+8 0 0 0 0 18 24 38 1.8
+8 0 0 0 0 18 24 40 2.4
+8 0 0 0 0 18 24 42 3
+8 0 0 0 0 18 24 44 3.6
+8 0 0 0 0 18 24 46 4.2
+8 0 0 0 0 18 24 48 4.8
+8 0 0 0 0 18 24 50 5.4
+8 0 0 0 0 18 24 52 6
+8 0 0 0 0 18 24 54 6.6
+8 0 0 0 0 18 24 56 7.2
+8 0 0 0 0 18 24 58 7.8
+8 0 0 0 0 18 24 60 8.4
+8 0 0 0 0 18 24 62 9
+8 0 0 0 0 18 24 64 9.6
+8 0 0 0 0 18 24 66 10.2
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 4.5
+9 0 1 0 0 18 24 18 4.2
+9 0 1 0 0 18 24 19 3.9
+9 0 1 0 0 18 24 20 3.6
+9 0 1 0 0 18 24 21 3.3
+9 0 1 0 0 18 24 22 3
+9 0 1 0 0 18 24 23 2.7
+9 0 1 0 0 18 24 24 2.4
+9 0 1 0 0 18 24 25 2.1
+9 0 1 0 0 18 24 26 1.8
+9 0 1 0 0 18 24 27 1.5
+9 0 1 0 0 18 24 28 1.2
+9 0 1 0 0 18 24 29 0.9
+9 0 1 0 0 18 24 30 0.6
+9 0 1 0 0 18 24 31 0.3
+9 0 1 0 0 18 24 32 6.2803698347351e-16
+9 0 1 0 0 18 24 33 0.3
+9 0 1 0 0 18 24 34 0.6
+9 0 1 0 0 18 24 35 0.9
+9 0 1 0 0 18 24 36 1.2
+9 0 1 0 0 18 24 37 1.5
+9 0 1 0 0 18 24 38 1.8
+9 0 1 0 0 18 24 39 2.1
+9 0 1 0 0 18 24 40 2.4
+9 0 1 0 0 18 24 41 2.7
+9 0 1 0 0 18 24 42 3
+9 0 1 0 0 18 24 43 3.3
+9 0 1 0 0 18 24 44 3.6
+9 0 1 0 0 18 24 45 3.9
+9 0 1 0 0 18 24 46 4.2
+9 0 1 0 0 18 24 47 4.5
+9 0 1 0 0 18 24 48 4.8
+9 0 1 0 0 18 24 49 5.1
+9 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 4.5
+10 0 1 0 0 18 24 18 4.2
+10 0 1 0 0 18 24 19 3.9
+10 0 1 0 0 18 24 20 3.6
+10 0 1 0 0 18 24 21 3.3
+10 0 1 0 0 18 24 22 3
+10 0 1 0 0 18 24 23 2.7
+10 0 1 0 0 18 24 24 2.4
+10 0 1 0 0 18 24 25 2.1
+10 0 1 0 0 18 24 26 1.8
+10 0 1 0 0 18 24 27 1.5
+10 0 1 0 0 18 24 28 1.2
+10 0 1 0 0 18 24 29 0.9
+10 0 1 0 0 18 24 30 0.6
+10 0 1 0 0 18 24 31 0.3
+10 0 1 0 0 18 24 32 6.2803698347351e-16
+10 0 1 0 0 18 24 33 0.3
+10 0 1 0 0 18 24 34 0.6
+10 0 1 0 0 18 24 35 0.9
+10 0 1 0 0 18 24 36 1.2
+10 0 1 0 0 18 24 37 1.5
+10 0 1 0 0 18 24 38 1.8
+10 0 1 0 0 18 24 39 2.1
+10 0 1 0 0 18 24 40 2.4
+10 0 1 0 0 18 24 41 2.7
+10 0 1 0 0 18 24 42 3
+10 0 1 0 0 18 24 43 3.3
+10 0 1 0 0 18 24 44 3.6
+10 0 1 0 0 18 24 45 3.9
+10 0 1 0 0 18 24 46 4.2
+10 0 1 0 0 18 24 47 4.5
+10 0 1 0 0 18 24 48 4.8
+10 0 1 0 0 18 24 49 5.1
+10 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 9.6
+10 0 0 0 0 18 24 2 9
+10 0 0 0 0 18 24 4 8.4
+10 0 0 0 0 18 24 6 7.8
+10 0 0 0 0 18 24 8 7.2
+10 0 0 0 0 18 24 10 6.6
+10 0 0 0 0 18 24 12 6
+10 0 0 0 0 18 24 14 5.4
+10 0 0 0 0 18 24 16 4.8
+10 0 0 0 0 18 24 18 4.2
+10 0 0 0 0 18 24 20 3.6
+10 0 0 0 0 18 24 22 3
+10 0 0 0 0 18 24 24 2.4
+10 0 0 0 0 18 24 26 1.8
+10 0 0 0 0 18 24 28 1.2
+10 0 0 0 0 18 24 30 0.6
+10 0 0 0 0 18 24 32 6.2803698347351e-16
+10 0 0 0 0 18 24 34 0.6
+10 0 0 0 0 18 24 36 1.2
+10 0 0 0 0 18 24 38 1.8
+10 0 0 0 0 18 24 40 2.4
+10 0 0 0 0 18 24 42 3
+10 0 0 0 0 18 24 44 3.6
+10 0 0 0 0 18 24 46 4.2
+10 0 0 0 0 18 24 48 4.8
+10 0 0 0 0 18 24 50 5.4
+10 0 0 0 0 18 24 52 6
+10 0 0 0 0 18 24 54 6.6
+10 0 0 0 0 18 24 56 7.2
+10 0 0 0 0 18 24 58 7.8
+10 0 0 0 0 18 24 60 8.4
+10 0 0 0 0 18 24 62 9
+10 0 0 0 0 18 24 64 9.6
+10 0 0 0 0 18 24 66 10.2
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 4.5
+11 0 1 0 0 18 24 18 4.2
+11 0 1 0 0 18 24 19 3.9
+11 0 1 0 0 18 24 20 3.6
+11 0 1 0 0 18 24 21 3.3
+11 0 1 0 0 18 24 22 3
+11 0 1 0 0 18 24 23 2.7
+11 0 1 0 0 18 24 24 2.4
+11 0 1 0 0 18 24 25 2.1
+11 0 1 0 0 18 24 26 1.8
+11 0 1 0 0 18 24 27 1.5
+11 0 1 0 0 18 24 28 1.2
+11 0 1 0 0 18 24 29 0.9
+11 0 1 0 0 18 24 30 0.6
+11 0 1 0 0 18 24 31 0.3
+11 0 1 0 0 18 24 32 6.2803698347351e-16
+11 0 1 0 0 18 24 33 0.3
+11 0 1 0 0 18 24 34 0.6
+11 0 1 0 0 18 24 35 0.9
+11 0 1 0 0 18 24 36 1.2
+11 0 1 0 0 18 24 37 1.5
+11 0 1 0 0 18 24 38 1.8
+11 0 1 0 0 18 24 39 2.1
+11 0 1 0 0 18 24 40 2.4
+11 0 1 0 0 18 24 41 2.7
+11 0 1 0 0 18 24 42 3
+11 0 1 0 0 18 24 43 3.3
+11 0 1 0 0 18 24 44 3.6
+11 0 1 0 0 18 24 45 3.9
+11 0 1 0 0 18 24 46 4.2
+11 0 1 0 0 18 24 47 4.5
+11 0 1 0 0 18 24 48 4.8
+11 0 1 0 0 18 24 49 5.1
+11 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 4.5
+12 0 1 0 0 18 24 18 4.2
+12 0 1 0 0 18 24 19 3.9
+12 0 1 0 0 18 24 20 3.6
+12 0 1 0 0 18 24 21 3.3
+12 0 1 0 0 18 24 22 3
+12 0 1 0 0 18 24 23 2.7
+12 0 1 0 0 18 24 24 2.4
+12 0 1 0 0 18 24 25 2.1
+12 0 1 0 0 18 24 26 1.8
+12 0 1 0 0 18 24 27 1.5
+12 0 1 0 0 18 24 28 1.2
+12 0 1 0 0 18 24 29 0.9
+12 0 1 0 0 18 24 30 0.6
+12 0 1 0 0 18 24 31 0.3
+12 0 1 0 0 18 24 32 6.2803698347351e-16
+12 0 1 0 0 18 24 33 0.3
+12 0 1 0 0 18 24 34 0.6
+12 0 1 0 0 18 24 35 0.9
+12 0 1 0 0 18 24 36 1.2
+12 0 1 0 0 18 24 37 1.5
+12 0 1 0 0 18 24 38 1.8
+12 0 1 0 0 18 24 39 2.1
+12 0 1 0 0 18 24 40 2.4
+12 0 1 0 0 18 24 41 2.7
+12 0 1 0 0 18 24 42 3
+12 0 1 0 0 18 24 43 3.3
+12 0 1 0 0 18 24 44 3.6
+12 0 1 0 0 18 24 45 3.9
+12 0 1 0 0 18 24 46 4.2
+12 0 1 0 0 18 24 47 4.5
+12 0 1 0 0 18 24 48 4.8
+12 0 1 0 0 18 24 49 5.1
+12 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 9.6
+12 0 0 0 0 18 24 2 9
+12 0 0 0 0 18 24 4 8.4
+12 0 0 0 0 18 24 6 7.8
+12 0 0 0 0 18 24 8 7.2
+12 0 0 0 0 18 24 10 6.6
+12 0 0 0 0 18 24 12 6
+12 0 0 0 0 18 24 14 5.4
+12 0 0 0 0 18 24 16 4.8
+12 0 0 0 0 18 24 18 4.2
+12 0 0 0 0 18 24 20 3.6
+12 0 0 0 0 18 24 22 3
+12 0 0 0 0 18 24 24 2.4
+12 0 0 0 0 18 24 26 1.8
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+12 0 0 0 0 18 24 30 0.6
+12 0 0 0 0 18 24 32 6.2803698347351e-16
+12 0 0 0 0 18 24 34 0.6
+12 0 0 0 0 18 24 36 1.2
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+12 0 0 0 0 18 24 40 2.4
+12 0 0 0 0 18 24 42 3
+12 0 0 0 0 18 24 44 3.6
+12 0 0 0 0 18 24 46 4.2
+12 0 0 0 0 18 24 48 4.8
+12 0 0 0 0 18 24 50 5.4
+12 0 0 0 0 18 24 52 6
+12 0 0 0 0 18 24 54 6.6
+12 0 0 0 0 18 24 56 7.2
+12 0 0 0 0 18 24 58 7.8
+12 0 0 0 0 18 24 60 8.4
+12 0 0 0 0 18 24 62 9
+12 0 0 0 0 18 24 64 9.6
+12 0 0 0 0 18 24 66 10.2
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.xl
new file mode 100644
index 000000000..8cf8dd5ad
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.xl
@@ -0,0 +1,482 @@
+# HYDROTOY::u x (u)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -0.309016994374946
+0 0 1 0 0 10 24 32 -0.104528463267652
+0 0 1 0 0 11 24 32 0.104528463267655
+0 0 1 0 0 12 24 32 0.309016994374949
+0 0 1 0 0 13 24 32 0.500000000000001
+0 0 1 0 0 14 24 32 0.669130606358859
+0 0 1 0 0 15 24 32 0.809016994374948
+0 0 1 0 0 16 24 32 0.913545457642601
+0 0 1 0 0 17 24 32 0.978147600733806
+0 0 1 0 0 18 24 32 1
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+0 0 1 0 0 20 24 32 0.913545457642601
+0 0 1 0 0 21 24 32 0.809016994374948
+0 0 1 0 0 22 24 32 0.669130606358859
+0 0 1 0 0 23 24 32 0.500000000000001
+0 0 1 0 0 24 24 32 0.309016994374949
+0 0 1 0 0 25 24 32 0.104528463267655
+0 0 1 0 0 26 24 32 -0.104528463267652
+0 0 1 0 0 27 24 32 -0.309016994374946
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -0.80901699437495
+0 0 0 0 0 2 24 32 -0.978147600733806
+0 0 0 0 0 4 24 32 -0.978147600733805
+0 0 0 0 0 6 24 32 -0.809016994374946
+0 0 0 0 0 8 24 32 -0.499999999999998
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+0 0 0 0 0 12 24 32 0.309016994374949
+0 0 0 0 0 14 24 32 0.669130606358859
+0 0 0 0 0 16 24 32 0.913545457642601
+0 0 0 0 0 18 24 32 1
+0 0 0 0 0 20 24 32 0.913545457642601
+0 0 0 0 0 22 24 32 0.669130606358859
+0 0 0 0 0 24 24 32 0.309016994374949
+0 0 0 0 0 26 24 32 -0.104528463267652
+0 0 0 0 0 28 24 32 -0.499999999999998
+0 0 0 0 0 30 24 32 -0.809016994374946
+0 0 0 0 0 32 24 32 -0.978147600733805
+0 0 0 0 0 34 24 32 -0.978147600733806
+0 0 0 0 0 36 24 32 -0.809016994374949
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -0.152431492460527
+1 0 1 0 0 10 24 32 0.0563600193614062
+1 0 1 0 0 11 24 32 0.265712841995523
+1 0 1 0 0 12 24 32 0.460231992899264
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+1 0 1 0 0 14 24 32 0.781583843698094
+1 0 1 0 0 15 24 32 0.894229352421314
+1 0 1 0 0 16 24 32 0.967792747455213
+1 0 1 0 0 17 24 32 0.999058955440474
+1 0 1 0 0 18 24 32 0.986661493056231
+1 0 1 0 0 19 24 32 0.9311421888983
+1 0 1 0 0 20 24 32 0.834927502969561
+1 0 1 0 0 21 24 32 0.702222478734387
+1 0 1 0 0 22 24 32 0.538826962541212
+1 0 1 0 0 23 24 32 0.351882122506354
+1 0 1 0 0 24 24 32 0.149558345200208
+1 0 1 0 0 25 24 32 -0.0589516342688979
+1 0 1 0 0 26 24 32 -0.26279679501044
+1 0 1 0 0 27 24 32 -0.457422597155463
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0.0113922603551225
+2 0 1 0 0 10 24 32 0.219322218933327
+2 0 1 0 0 11 24 32 0.420199068973527
+2 0 1 0 0 12 24 32 0.598974103207183
+2 0 1 0 0 13 24 32 0.752540220547164
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+2 0 1 0 0 15 24 32 0.955442404735028
+2 0 1 0 0 16 24 32 0.996059682562471
+2 0 1 0 0 17 24 32 0.993144372637286
+2 0 1 0 0 18 24 32 0.946823887992414
+2 0 1 0 0 19 24 32 0.85912265607718
+2 0 1 0 0 20 24 32 0.733873641563482
+2 0 1 0 0 21 24 32 0.576550827397022
+2 0 1 0 0 22 24 32 0.394029975475493
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+2 0 1 0 0 24 24 32 -0.0137281404892237
+2 0 1 0 0 25 24 32 -0.220507844906553
+2 0 1 0 0 26 24 32 -0.417658637620938
+2 0 1 0 0 27 24 32 -0.597316331665305
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -0.955765485796519
+2 0 0 0 0 2 24 32 -0.994570500607911
+2 0 0 0 0 4 24 32 -0.861405240474848
+2 0 0 0 0 6 24 32 -0.579295188642749
+2 0 0 0 0 8 24 32 -0.197019735962746
+2 0 0 0 0 10 24 32 0.219322218933327
+2 0 0 0 0 12 24 32 0.598974103207183
+2 0 0 0 0 14 24 32 0.873067709099339
+2 0 0 0 0 16 24 32 0.996059682562471
+2 0 0 0 0 18 24 32 0.946823887992414
+2 0 0 0 0 20 24 32 0.733873641563482
+2 0 0 0 0 22 24 32 0.394029975475493
+2 0 0 0 0 24 24 32 -0.0137281404892237
+2 0 0 0 0 26 24 32 -0.417658637620938
+2 0 0 0 0 28 24 32 -0.751699935634057
+2 0 0 0 0 30 24 32 -0.955765485796519
+2 0 0 0 0 32 24 32 -0.994570500607911
+2 0 0 0 0 34 24 32 -0.861405240474848
+2 0 0 0 0 36 24 32 -0.579295188642749
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0.171349756747298
+3 0 1 0 0 10 24 32 0.37302994818531
+3 0 1 0 0 11 24 32 0.563783809688289
+3 0 1 0 0 12 24 32 0.721499908171139
+3 0 1 0 0 13 24 32 0.850154280683583
+3 0 1 0 0 14 24 32 0.941115783519556
+3 0 1 0 0 15 24 32 0.991008148479049
+3 0 1 0 0 16 24 32 0.99758253409576
+3 0 1 0 0 17 24 32 0.9605579152721
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+3 0 1 0 0 19 24 32 0.764018631351612
+3 0 1 0 0 20 24 32 0.613093676062228
+3 0 1 0 0 21 24 32 0.435373927186078
+3 0 1 0 0 22 24 32 0.238636428032212
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+3 0 1 0 0 25 24 32 -0.375858081945995
+3 0 1 0 0 26 24 32 -0.557909062861019
+3 0 1 0 0 27 24 32 -0.718088116175499
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0.331369835442095
+4 0 1 0 0 10 24 32 0.52125926953829
+4 0 1 0 0 11 24 32 0.692453188571697
+4 0 1 0 0 12 24 32 0.824318927940837
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+4 0 1 0 0 15 24 32 0.999969249572379
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+4 0 1 0 0 17 24 32 0.902169949369122
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+4 0 1 0 0 19 24 32 0.648380030208135
+4 0 1 0 0 20 24 32 0.475828100564657
+4 0 1 0 0 21 24 32 0.282483956955703
+4 0 1 0 0 22 24 32 0.0768443101603671
+4 0 1 0 0 23 24 32 -0.132015589095668
+4 0 1 0 0 24 24 32 -0.334121959032263
+4 0 1 0 0 25 24 32 -0.520934719419604
+4 0 1 0 0 26 24 32 -0.68728304681006
+4 0 1 0 0 27 24 32 -0.823492371704531
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -1.00236259183865
+4 0 0 0 0 2 24 32 -0.906417389262528
+4 0 0 0 0 4 24 32 -0.653744385539442
+4 0 0 0 0 6 24 32 -0.288033038475295
+4 0 0 0 0 8 24 32 0.127520360561461
+4 0 0 0 0 10 24 32 0.52125926953829
+4 0 0 0 0 12 24 32 0.824318927940837
+4 0 0 0 0 14 24 32 0.983877589389137
+4 0 0 0 0 16 24 32 0.972315416327738
+4 0 0 0 0 18 24 32 0.792595086557144
+4 0 0 0 0 20 24 32 0.475828100564657
+4 0 0 0 0 22 24 32 0.0768443101603671
+4 0 0 0 0 24 24 32 -0.334121959032263
+4 0 0 0 0 26 24 32 -0.68728304681006
+4 0 0 0 0 28 24 32 -0.925062939033713
+4 0 0 0 0 30 24 32 -1.00236259183865
+4 0 0 0 0 32 24 32 -0.906417389262528
+4 0 0 0 0 34 24 32 -0.653744385539442
+4 0 0 0 0 36 24 32 -0.288033038475295
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0.478674354469475
+5 0 1 0 0 10 24 32 0.651883975022567
+5 0 1 0 0 11 24 32 0.802603360438287
+5 0 1 0 0 12 24 32 0.904792854474189
+5 0 1 0 0 13 24 32 0.975228288527885
+5 0 1 0 0 14 24 32 1.00016547948089
+5 0 1 0 0 15 24 32 0.982087177231643
+5 0 1 0 0 16 24 32 0.920930488121484
+5 0 1 0 0 17 24 32 0.819544008373424
+5 0 1 0 0 18 24 32 0.682336964479598
+5 0 1 0 0 19 24 32 0.51530886832818
+5 0 1 0 0 20 24 32 0.325762837444828
+5 0 1 0 0 21 24 32 0.121994076566069
+5 0 1 0 0 22 24 32 -0.0869601777623123
+5 0 1 0 0 23 24 32 -0.291880650420994
+5 0 1 0 0 24 24 32 -0.482589582964527
+5 0 1 0 0 25 24 32 -0.65202139868977
+5 0 1 0 0 26 24 32 -0.795236164334502
+5 0 1 0 0 27 24 32 -0.904345314836598
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0.617395335743131
+6 0 1 0 0 10 24 32 0.768946133961375
+6 0 1 0 0 11 24 32 0.891215451308214
+6 0 1 0 0 12 24 32 0.960696031417079
+6 0 1 0 0 13 24 32 0.999404903274617
+6 0 1 0 0 14 24 32 0.989490889405043
+6 0 1 0 0 15 24 32 0.937851848781089
+6 0 1 0 0 16 24 32 0.844798195570854
+6 0 1 0 0 17 24 32 0.714895320641711
+6 0 1 0 0 18 24 32 0.553735196254365
+6 0 1 0 0 19 24 32 0.368376591744159
+6 0 1 0 0 20 24 32 0.166932568067746
+6 0 1 0 0 21 24 32 -0.0417691937199033
+6 0 1 0 0 22 24 32 -0.248326586803265
+6 0 1 0 0 23 24 32 -0.443749059121955
+6 0 1 0 0 24 24 32 -0.617867255427767
+6 0 1 0 0 25 24 32 -0.765704851816094
+6 0 1 0 0 26 24 32 -0.885283223812199
+6 0 1 0 0 27 24 32 -0.963815789619906
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -0.943615927152599
+6 0 0 0 0 2 24 32 -0.722688394071916
+6 0 0 0 0 4 24 32 -0.37676865988688
+6 0 0 0 0 6 24 32 0.0343121524537051
+6 0 0 0 0 8 24 32 0.439528384756691
+6 0 0 0 0 10 24 32 0.768946133961375
+6 0 0 0 0 12 24 32 0.960696031417079
+6 0 0 0 0 14 24 32 0.989490889405043
+6 0 0 0 0 16 24 32 0.844798195570854
+6 0 0 0 0 18 24 32 0.553735196254365
+6 0 0 0 0 20 24 32 0.166932568067746
+6 0 0 0 0 22 24 32 -0.248326586803265
+6 0 0 0 0 24 24 32 -0.617867255427767
+6 0 0 0 0 26 24 32 -0.885283223812199
+6 0 0 0 0 28 24 32 -1.00170639001759
+6 0 0 0 0 30 24 32 -0.943615927152599
+6 0 0 0 0 32 24 32 -0.722688394071916
+6 0 0 0 0 34 24 32 -0.37676865988688
+6 0 0 0 0 36 24 32 0.0343121524537051
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0.736330115911865
+7 0 1 0 0 10 24 32 0.862406152522103
+7 0 1 0 0 11 24 32 0.95579459295023
+7 0 1 0 0 12 24 32 0.990734178742021
+7 0 1 0 0 13 24 32 0.99693121242864
+7 0 1 0 0 14 24 32 0.952088786530713
+7 0 1 0 0 15 24 32 0.868468451342779
+7 0 1 0 0 16 24 32 0.745948107939823
+7 0 1 0 0 17 24 32 0.591032266688689
+7 0 1 0 0 18 24 32 0.410240353910859
+7 0 1 0 0 19 24 32 0.211529239202436
+7 0 1 0 0 20 24 32 0.00361499242052341
+7 0 1 0 0 21 24 32 -0.204382748665131
+7 0 1 0 0 22 24 32 -0.402873488140789
+7 0 1 0 0 23 24 32 -0.583532131041882
+7 0 1 0 0 24 24 32 -0.736542362549316
+7 0 1 0 0 25 24 32 -0.859139672652872
+7 0 1 0 0 26 24 32 -0.94970976345133
+7 0 1 0 0 27 24 32 -0.996264246909497
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0.838862723137504
+8 0 1 0 0 10 24 32 0.935610561982288
+8 0 1 0 0 11 24 32 0.994628423231998
+8 0 1 0 0 12 24 32 0.994132592113626
+8 0 1 0 0 13 24 32 0.967840014463343
+8 0 1 0 0 14 24 32 0.888923321558275
+8 0 1 0 0 15 24 32 0.775823555995315
+8 0 1 0 0 16 24 32 0.627012972050091
+8 0 1 0 0 17 24 32 0.451282321642457
+8 0 1 0 0 18 24 32 0.255703886221418
+8 0 1 0 0 19 24 32 0.0489828863328094
+8 0 1 0 0 20 24 32 -0.159782864896216
+8 0 1 0 0 21 24 32 -0.361448566164784
+8 0 1 0 0 22 24 32 -0.546419954874854
+8 0 1 0 0 23 24 32 -0.707521526932693
+8 0 1 0 0 24 24 32 -0.835533291450187
+8 0 1 0 0 25 24 32 -0.929904397185239
+8 0 1 0 0 26 24 32 -0.991087270515836
+8 0 1 0 0 27 24 32 -1.00349818489193
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -0.785401097599552
+8 0 0 0 0 2 24 32 -0.462470069409471
+8 0 0 0 0 4 24 32 -0.0594243341735509
+8 0 0 0 0 6 24 32 0.353920038195863
+8 0 0 0 0 8 24 32 0.705950106049266
+8 0 0 0 0 10 24 32 0.935610561982288
+8 0 0 0 0 12 24 32 0.994132592113626
+8 0 0 0 0 14 24 32 0.888923321558275
+8 0 0 0 0 16 24 32 0.627012972050091
+8 0 0 0 0 18 24 32 0.255703886221418
+8 0 0 0 0 20 24 32 -0.159782864896216
+8 0 0 0 0 22 24 32 -0.546419954874854
+8 0 0 0 0 24 24 32 -0.835533291450187
+8 0 0 0 0 26 24 32 -0.991087270515836
+8 0 0 0 0 28 24 32 -0.973203289593378
+8 0 0 0 0 30 24 32 -0.785401097599552
+8 0 0 0 0 32 24 32 -0.462470069409471
+8 0 0 0 0 34 24 32 -0.0594243341735509
+8 0 0 0 0 36 24 32 0.353920038195863
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0.91658986421557
+9 0 1 0 0 10 24 32 0.981763871486667
+9 0 1 0 0 11 24 32 1.0066169364839
+9 0 1 0 0 12 24 32 0.970999404785819
+9 0 1 0 0 13 24 32 0.912869387001779
+9 0 1 0 0 14 24 32 0.801676211746279
+9 0 1 0 0 15 24 32 0.662429192977763
+9 0 1 0 0 16 24 32 0.491158045683122
+9 0 1 0 0 17 24 32 0.299404205210832
+9 0 1 0 0 18 24 32 0.0942748397340916
+9 0 1 0 0 19 24 32 -0.114888196090703
+9 0 1 0 0 20 24 32 -0.318844020015812
+9 0 1 0 0 21 24 32 -0.508718900960069
+9 0 1 0 0 22 24 32 -0.675114009446393
+9 0 1 0 0 23 24 32 -0.81246368471118
+9 0 1 0 0 24 24 32 -0.912411266086651
+9 0 1 0 0 25 24 32 -0.97626237727215
+9 0 1 0 0 26 24 32 -1.00524856678344
+9 0 1 0 0 27 24 32 -0.983992407907269
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0.971850100257036
+10 0 1 0 0 10 24 32 1.00313124465366
+10 0 1 0 0 11 24 32 0.991528679071851
+10 0 1 0 0 12 24 32 0.922004453358295
+10 0 1 0 0 13 24 32 0.833420512202493
+10 0 1 0 0 14 24 32 0.692708921524164
+10 0 1 0 0 15 24 32 0.531349291579165
+10 0 1 0 0 16 24 32 0.341998960178511
+10 0 1 0 0 17 24 32 0.139488127048167
+10 0 1 0 0 18 24 32 -0.0697116262111016
+10 0 1 0 0 19 24 32 -0.275668248137387
+10 0 1 0 0 20 24 32 -0.469264688434764
+10 0 1 0 0 21 24 32 -0.642219424235716
+10 0 1 0 0 22 24 32 -0.785544911642833
+10 0 1 0 0 23 24 32 -0.895662854989526
+10 0 1 0 0 24 24 32 -0.965251381719683
+10 0 1 0 0 25 24 32 -0.99698070677122
+10 0 1 0 0 26 24 32 -0.993582711661571
+10 0 1 0 0 27 24 32 -0.938049325883729
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -0.544108296485016
+10 0 0 0 0 2 24 32 -0.152945112322822
+10 0 0 0 0 4 24 32 0.265014027342572
+10 0 0 0 0 6 24 32 0.637115259059445
+10 0 0 0 0 8 24 32 0.898298892039585
+10 0 0 0 0 10 24 32 1.00313124465366
+10 0 0 0 0 12 24 32 0.922004453358295
+10 0 0 0 0 14 24 32 0.692708921524164
+10 0 0 0 0 16 24 32 0.341998960178511
+10 0 0 0 0 18 24 32 -0.0697116262111016
+10 0 0 0 0 20 24 32 -0.469264688434764
+10 0 0 0 0 22 24 32 -0.785544911642833
+10 0 0 0 0 24 24 32 -0.965251381719683
+10 0 0 0 0 26 24 32 -0.993582711661571
+10 0 0 0 0 28 24 32 -0.842024566008794
+10 0 0 0 0 30 24 32 -0.544108296485016
+10 0 0 0 0 32 24 32 -0.152945112322822
+10 0 0 0 0 34 24 32 0.265014027342572
+10 0 0 0 0 36 24 32 0.637115259059445
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0.999879243019927
+11 0 1 0 0 10 24 32 0.996930335266479
+11 0 1 0 0 11 24 32 0.949748824123315
+11 0 1 0 0 12 24 32 0.84856275995336
+11 0 1 0 0 13 24 32 0.731558699883146
+11 0 1 0 0 14 24 32 0.565003142577215
+11 0 1 0 0 15 24 32 0.386110365388665
+11 0 1 0 0 16 24 32 0.183510041743399
+11 0 1 0 0 17 24 32 -0.024153810747761
+11 0 1 0 0 18 24 32 -0.231851085283206
+11 0 1 0 0 19 24 32 -0.429019157014972
+11 0 1 0 0 20 24 32 -0.60697770920531
+11 0 1 0 0 21 24 32 -0.758366326705795
+11 0 1 0 0 22 24 32 -0.874839427841538
+11 0 1 0 0 23 24 32 -0.955024598462772
+11 0 1 0 0 24 24 32 -0.99277028649328
+11 0 1 0 0 25 24 32 -0.991573504908253
+11 0 1 0 0 26 24 32 -0.955854008527544
+11 0 1 0 0 27 24 32 -0.868364061989262
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 1.00183390378326
+12 0 1 0 0 10 24 32 0.964088592064054
+12 0 1 0 0 11 24 32 0.88250694324697
+12 0 1 0 0 12 24 32 0.752655247401084
+12 0 1 0 0 13 24 32 0.609953579348451
+12 0 1 0 0 14 24 32 0.422073427905048
+12 0 1 0 0 15 24 32 0.230601918884888
+12 0 1 0 0 16 24 32 0.0199252809509673
+12 0 1 0 0 17 24 32 -0.18710465320856
+12 0 1 0 0 18 24 32 -0.387789018307074
+12 0 1 0 0 19 24 32 -0.57079938394335
+12 0 1 0 0 20 24 32 -0.728272314896891
+12 0 1 0 0 21 24 32 -0.85407117215388
+12 0 1 0 0 22 24 32 -0.940731725229683
+12 0 1 0 0 23 24 32 -0.989102266501113
+12 0 1 0 0 24 24 32 -0.994316517086919
+12 0 1 0 0 25 24 32 -0.96010196429352
+12 0 1 0 0 26 24 32 -0.892141022922255
+12 0 1 0 0 27 24 32 -0.7737842846164
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -0.244963853205913
+12 0 0 0 0 2 24 32 0.173462314035035
+12 0 0 0 0 4 24 32 0.562409029464656
+12 0 0 0 0 6 24 32 0.853891430432549
+12 0 0 0 0 8 24 32 0.995797150823057
+12 0 0 0 0 10 24 32 0.964088592064054
+12 0 0 0 0 12 24 32 0.752655247401084
+12 0 0 0 0 14 24 32 0.422073427905048
+12 0 0 0 0 16 24 32 0.0199252809509673
+12 0 0 0 0 18 24 32 -0.387789018307074
+12 0 0 0 0 20 24 32 -0.728272314896891
+12 0 0 0 0 22 24 32 -0.940731725229683
+12 0 0 0 0 24 24 32 -0.994316517086919
+12 0 0 0 0 26 24 32 -0.892141022922255
+12 0 0 0 0 28 24 32 -0.621426120391927
+12 0 0 0 0 30 24 32 -0.244963853205913
+12 0 0 0 0 32 24 32 0.173462314035035
+12 0 0 0 0 34 24 32 0.562409029464656
+12 0 0 0 0 36 24 32 0.853891430432549
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.yl
new file mode 100644
index 000000000..8b6c2e622
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.yl
@@ -0,0 +1,622 @@
+# HYDROTOY::u y (u)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -4.60170638573454e-15
+0 0 1 0 0 18 14 32 0.142314838273281
+0 0 1 0 0 18 15 32 0.281732556841426
+0 0 1 0 0 18 16 32 0.415415013001883
+0 0 1 0 0 18 17 32 0.540640817455595
+0 0 1 0 0 18 18 32 0.654860733945283
+0 0 1 0 0 18 19 32 0.755749574354257
+0 0 1 0 0 18 20 32 0.84125353283118
+0 0 1 0 0 18 21 32 0.909631995354518
+0 0 1 0 0 18 22 32 0.959492973614497
+0 0 1 0 0 18 23 32 0.989821441880933
+0 0 1 0 0 18 24 32 1
+0 0 1 0 0 18 25 32 0.989821441880933
+0 0 1 0 0 18 26 32 0.959492973614497
+0 0 1 0 0 18 27 32 0.909631995354518
+0 0 1 0 0 18 28 32 0.84125353283118
+0 0 1 0 0 18 29 32 0.755749574354257
+0 0 1 0 0 18 30 32 0.654860733945283
+0 0 1 0 0 18 31 32 0.540640817455595
+0 0 1 0 0 18 32 32 0.415415013001883
+0 0 1 0 0 18 33 32 0.281732556841426
+0 0 1 0 0 18 34 32 0.142314838273281
+0 0 1 0 0 18 35 32 -4.82375099065957e-15
+0 0 1 0 0 18 36 32 -0.142314838273291
+0 0 1 0 0 18 37 32 -0.281732556841435
+0 0 1 0 0 18 38 32 -0.415415013001892
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -0.959492973614494
+0 0 0 0 0 18 2 32 -1
+0 0 0 0 0 18 4 32 -0.9594929736145
+0 0 0 0 0 18 6 32 -0.841253532831185
+0 0 0 0 0 18 8 32 -0.65486073394529
+0 0 0 0 0 18 10 32 -0.415415013001892
+0 0 0 0 0 18 12 32 -0.14231483827329
+0 0 0 0 0 18 14 32 0.142314838273281
+0 0 0 0 0 18 16 32 0.415415013001883
+0 0 0 0 0 18 18 32 0.654860733945283
+0 0 0 0 0 18 20 32 0.84125353283118
+0 0 0 0 0 18 22 32 0.959492973614497
+0 0 0 0 0 18 24 32 1
+0 0 0 0 0 18 26 32 0.959492973614497
+0 0 0 0 0 18 28 32 0.84125353283118
+0 0 0 0 0 18 30 32 0.654860733945283
+0 0 0 0 0 18 32 32 0.415415013001883
+0 0 0 0 0 18 34 32 0.142314838273281
+0 0 0 0 0 18 36 32 -0.142314838273291
+0 0 0 0 0 18 38 32 -0.415415013001892
+0 0 0 0 0 18 40 32 -0.65486073394529
+0 0 0 0 0 18 42 32 -0.841253532831186
+0 0 0 0 0 18 44 32 -0.9594929736145
+0 0 0 0 0 18 46 32 -1
+0 0 0 0 0 18 48 32 -0.959492973614494
+0 0 0 0 0 18 50 32 -0.841253532831175
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0.160432558454101
+1 0 1 0 0 18 14 32 0.299355363480423
+1 0 1 0 0 18 15 32 0.434887450436028
+1 0 1 0 0 18 16 32 0.55844492057536
+1 0 1 0 0 18 17 32 0.670832090622102
+1 0 1 0 0 18 18 32 0.76956305382378
+1 0 1 0 0 18 19 32 0.852627932486192
+1 0 1 0 0 18 20 32 0.918335765219103
+1 0 1 0 0 18 21 32 0.965348930033812
+1 0 1 0 0 18 22 32 0.992710374469464
+1 0 1 0 0 18 23 32 0.999863098421239
+1 0 1 0 0 18 24 32 0.986661493056231
+1 0 1 0 0 18 25 32 0.953374304989386
+1 0 1 0 0 18 26 32 0.900679165377422
+1 0 1 0 0 18 27 32 0.829648795302602
+1 0 1 0 0 18 28 32 0.74172916826498
+1 0 1 0 0 18 29 32 0.638710074331772
+1 0 1 0 0 18 30 32 0.522688685172925
+1 0 1 0 0 18 31 32 0.396026861693655
+1 0 1 0 0 18 32 32 0.261303073357463
+1 0 1 0 0 18 33 32 0.121259907983552
+1 0 1 0 0 18 34 32 -0.0212517594322059
+1 0 1 0 0 18 35 32 -0.163330802310938
+1 0 1 0 0 18 36 32 -0.301789547539521
+1 0 1 0 0 18 37 32 -0.432092373697179
+1 0 1 0 0 18 38 32 -0.556165730036812
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0.320195163949167
+2 0 1 0 0 18 14 32 0.452002019295973
+2 0 1 0 0 18 15 32 0.576437219105059
+2 0 1 0 0 18 16 32 0.686273359409448
+2 0 1 0 0 18 17 32 0.783037566642035
+2 0 1 0 0 18 18 32 0.863619219378005
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+2 0 1 0 0 18 20 32 0.970769869376907
+2 0 1 0 0 18 21 32 0.995151400025689
+2 0 1 0 0 18 22 32 0.999274517949606
+2 0 1 0 0 18 23 32 0.983055288357816
+2 0 1 0 0 18 24 32 0.946823887992414
+2 0 1 0 0 18 25 32 0.891317883682107
+2 0 1 0 0 18 26 32 0.817667217608556
+2 0 1 0 0 18 27 32 0.727371204942035
+2 0 1 0 0 18 28 32 0.622268012108237
+2 0 1 0 0 18 29 32 0.504497237020678
+2 0 1 0 0 18 30 32 0.376456353037272
+2 0 1 0 0 18 31 32 0.240751903316502
+2 0 1 0 0 18 32 32 0.100146439115366
+2 0 1 0 0 18 33 32 -0.0424977177876775
+2 0 1 0 0 18 34 32 -0.184267513912292
+2 0 1 0 0 18 35 32 -0.322024676883886
+2 0 1 0 0 18 36 32 -0.453152121957099
+2 0 1 0 0 18 37 32 -0.574468832385415
+2 0 1 0 0 18 38 32 -0.685417277112103
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 -1.00051323460778
+2 0 0 0 0 18 2 32 -0.948719671596804
+2 0 0 0 0 18 4 32 -0.820066483046201
+2 0 0 0 0 18 6 32 -0.624976385162354
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+2 0 0 0 0 18 18 32 0.863619219378005
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+2 0 0 0 0 18 22 32 0.999274517949606
+2 0 0 0 0 18 24 32 0.946823887992414
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+2 0 0 0 0 18 48 32 -0.820066483046201
+2 0 0 0 0 18 50 32 -0.624976385162354
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0.467911489927742
+3 0 1 0 0 18 14 32 0.589255846106157
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+3 0 1 0 0 18 37 32 -0.69911439274983
+3 0 1 0 0 18 38 32 -0.793912736129098
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0.607480655529478
+4 0 1 0 0 18 14 32 0.714783163782234
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+4 0 1 0 0 18 37 32 -0.808257233173757
+4 0 1 0 0 18 38 32 -0.88473774645402
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 -0.936397049231443
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+4 0 0 0 0 18 48 32 -0.594010283467016
+4 0 0 0 0 18 50 32 -0.342389028014344
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0.727469292523459
+5 0 1 0 0 18 14 32 0.81809726426295
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+5 0 1 0 0 18 38 32 -0.950033372699939
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0.831564473183407
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+6 0 1 0 0 18 38 32 -0.992419259995831
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 -0.773613468881637
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+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0.911030351746214
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+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0.968485416194873
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+8 0 1 0 0 18 38 32 -0.996628345535797
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -0.529031092242213
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+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0.998806638098124
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+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 1.0033451662732
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+10 0 1 0 0 18 38 32 -0.896097622916442
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -0.228161074832807
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+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0.981065556855178
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+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0.932011382031437
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+12 0 1 0 0 18 30 32 -0.951236455941754
+12 0 1 0 0 18 31 32 -0.984674492732716
+12 0 1 0 0 18 32 32 -0.999548100773417
+12 0 1 0 0 18 33 32 -0.991083894554511
+12 0 1 0 0 18 34 32 -0.966747056839831
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+12 0 1 0 0 18 36 32 -0.860314671610149
+12 0 1 0 0 18 37 32 -0.790583182458473
+12 0 1 0 0 18 38 32 -0.700511173105496
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0.0975185648784567
+12 0 0 0 0 18 2 32 0.376139507675348
+12 0 0 0 0 18 4 32 0.624395009623803
+12 0 0 0 0 18 6 32 0.821987585681196
+12 0 0 0 0 18 8 32 0.952945637361202
+12 0 0 0 0 18 10 32 1.00634219231345
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+12 0 0 0 0 18 14 32 0.867670823017555
+12 0 0 0 0 18 16 32 0.674816105520949
+12 0 0 0 0 18 18 32 0.439201817831781
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+12 0 0 0 0 18 22 32 -0.112239621857484
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+12 0 0 0 0 18 26 32 -0.632087589022964
+12 0 0 0 0 18 28 32 -0.825172447256054
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+12 0 0 0 0 18 32 32 -0.999548100773417
+12 0 0 0 0 18 34 32 -0.966747056839831
+12 0 0 0 0 18 36 32 -0.860314671610149
+12 0 0 0 0 18 38 32 -0.700511173105496
+12 0 0 0 0 18 40 32 -0.459081789577619
+12 0 0 0 0 18 42 32 -0.190330625785958
+12 0 0 0 0 18 44 32 0.0975185648784567
+12 0 0 0 0 18 46 32 0.376139507675348
+12 0 0 0 0 18 48 32 0.624395009623803
+12 0 0 0 0 18 50 32 0.821987585681196
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.zl
new file mode 100644
index 000000000..3647703fa
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/u.zl
@@ -0,0 +1,782 @@
+# HYDROTOY::u z (u)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -1
+0 0 1 0 0 18 24 18 -0.978147600733805
+0 0 1 0 0 18 24 19 -0.9135454576426
+0 0 1 0 0 18 24 20 -0.809016994374946
+0 0 1 0 0 18 24 21 -0.669130606358856
+0 0 1 0 0 18 24 22 -0.499999999999998
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+0 0 1 0 0 18 24 24 -0.104528463267652
+0 0 1 0 0 18 24 25 0.104528463267655
+0 0 1 0 0 18 24 26 0.309016994374949
+0 0 1 0 0 18 24 27 0.500000000000001
+0 0 1 0 0 18 24 28 0.669130606358859
+0 0 1 0 0 18 24 29 0.809016994374948
+0 0 1 0 0 18 24 30 0.913545457642601
+0 0 1 0 0 18 24 31 0.978147600733806
+0 0 1 0 0 18 24 32 1
+0 0 1 0 0 18 24 33 0.978147600733806
+0 0 1 0 0 18 24 34 0.913545457642601
+0 0 1 0 0 18 24 35 0.809016994374948
+0 0 1 0 0 18 24 36 0.669130606358859
+0 0 1 0 0 18 24 37 0.500000000000001
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+0 0 1 0 0 18 24 39 0.104528463267655
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+0 0 1 0 0 18 24 42 -0.499999999999998
+0 0 1 0 0 18 24 43 -0.669130606358856
+0 0 1 0 0 18 24 44 -0.809016994374946
+0 0 1 0 0 18 24 45 -0.9135454576426
+0 0 1 0 0 18 24 46 -0.978147600733805
+0 0 1 0 0 18 24 47 -1
+0 0 1 0 0 18 24 48 -0.978147600733806
+0 0 1 0 0 18 24 49 -0.913545457642603
+0 0 1 0 0 18 24 50 -0.80901699437495
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 0.913545457642604
+0 0 0 0 0 18 24 2 1
+0 0 0 0 0 18 24 4 0.913545457642598
+0 0 0 0 0 18 24 6 0.669130606358854
+0 0 0 0 0 18 24 8 0.309016994374941
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+0 0 0 0 0 18 24 12 -0.500000000000004
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+0 0 0 0 0 18 24 22 -0.499999999999998
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+0 0 0 0 0 18 24 32 1
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+0 0 0 0 0 18 24 36 0.669130606358859
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+0 0 0 0 0 18 24 42 -0.499999999999998
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+0 0 0 0 0 18 24 46 -0.978147600733805
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+0 0 0 0 0 18 24 56 0.309016994374942
+0 0 0 0 0 18 24 58 0.669130606358854
+0 0 0 0 0 18 24 60 0.913545457642598
+0 0 0 0 0 18 24 62 1
+0 0 0 0 0 18 24 64 0.913545457642604
+0 0 0 0 0 18 24 66 0.669130606358864
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -0.986764645176802
+1 0 1 0 0 18 24 18 -0.932527316358608
+1 0 1 0 0 18 24 19 -0.835847519480548
+1 0 1 0 0 18 24 20 -0.702222478734384
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+1 0 1 0 0 18 24 24 0.0593018494517551
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+1 0 1 0 0 18 24 28 0.781583843698094
+1 0 1 0 0 18 24 29 0.894229352421314
+1 0 1 0 0 18 24 30 0.967792747455213
+1 0 1 0 0 18 24 31 0.999058955440474
+1 0 1 0 0 18 24 32 0.986661493056231
+1 0 1 0 0 18 24 33 0.9311421888983
+1 0 1 0 0 18 24 34 0.834927502969561
+1 0 1 0 0 18 24 35 0.702222478734387
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+1 0 1 0 0 18 24 37 0.351882122506355
+1 0 1 0 0 18 24 38 0.149558345200208
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+1 0 1 0 0 18 24 40 -0.265570268720824
+1 0 1 0 0 18 24 41 -0.460231992899261
+1 0 1 0 0 18 24 42 -0.634779370549876
+1 0 1 0 0 18 24 43 -0.781583843698092
+1 0 1 0 0 18 24 44 -0.894229352421313
+1 0 1 0 0 18 24 45 -0.967792747455212
+1 0 1 0 0 18 24 46 -0.999058955440474
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+1 0 1 0 0 18 24 48 -0.930288208406172
+1 0 1 0 0 18 24 49 -0.836236858633532
+1 0 1 0 0 18 24 50 -0.70456292892012
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -0.948045062206597
+2 0 1 0 0 18 24 18 -0.861405240474847
+2 0 1 0 0 18 24 19 -0.735425071804322
+2 0 1 0 0 18 24 20 -0.57622967822065
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+2 0 1 0 0 18 24 27 0.75253576513233
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+2 0 1 0 0 18 24 29 0.955442404735028
+2 0 1 0 0 18 24 30 0.996059682562471
+2 0 1 0 0 18 24 31 0.993144372637286
+2 0 1 0 0 18 24 32 0.946823887992414
+2 0 1 0 0 18 24 33 0.85912265607718
+2 0 1 0 0 18 24 34 0.733873641563482
+2 0 1 0 0 18 24 35 0.576550827397022
+2 0 1 0 0 18 24 36 0.394029975475493
+2 0 1 0 0 18 24 37 0.194288122860086
+2 0 1 0 0 18 24 38 -0.0139450530221575
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+2 0 1 0 0 18 24 40 -0.419508855165448
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+2 0 1 0 0 18 24 43 -0.873067709099337
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+2 0 1 0 0 18 24 45 -0.996059682562471
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+2 0 1 0 0 18 24 49 -0.735919601592987
+2 0 1 0 0 18 24 50 -0.579295188642754
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 0.996953826263689
+2 0 0 0 0 18 24 2 0.948719671596808
+2 0 0 0 0 18 24 4 0.73644326686319
+2 0 0 0 0 18 24 6 0.396829130911887
+2 0 0 0 0 18 24 8 -0.0114003668535601
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+2 0 0 0 0 18 24 24 0.221568763171547
+2 0 0 0 0 18 24 26 0.599114397161795
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+2 0 0 0 0 18 24 32 0.946823887992414
+2 0 0 0 0 18 24 34 0.733873641563482
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+2 0 0 0 0 18 24 64 0.73644326686319
+2 0 0 0 0 18 24 66 0.396829130911887
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -0.88504128396079
+3 0 1 0 0 18 24 18 -0.768694090603434
+3 0 1 0 0 18 24 19 -0.614841343239414
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+3 0 1 0 0 18 24 26 0.721932335802778
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+3 0 1 0 0 18 24 49 -0.61630696437209
+3 0 1 0 0 18 24 50 -0.441706291557492
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -0.796733086189038
+4 0 1 0 0 18 24 18 -0.65308962757073
+4 0 1 0 0 18 24 19 -0.477387998030878
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+4 0 1 0 0 18 24 29 0.999966491065561
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+4 0 1 0 0 18 24 49 -0.479901995598838
+4 0 1 0 0 18 24 50 -0.288965398326121
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 0.97571163067272
+4 0 0 0 0 18 24 2 0.797508358468365
+4 0 0 0 0 18 24 4 0.481408645948837
+4 0 0 0 0 18 24 6 0.0820690050845114
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+4 0 0 0 0 18 24 24 0.524139882115639
+4 0 0 0 0 18 24 26 0.825384683597902
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+4 0 0 0 0 18 24 30 0.972315647790124
+4 0 0 0 0 18 24 32 0.792595086557144
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+4 0 0 0 0 18 24 60 0.97571163067272
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+4 0 0 0 0 18 24 64 0.481408645948837
+4 0 0 0 0 18 24 66 0.0820690050845114
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -0.689419430971584
+5 0 1 0 0 18 24 18 -0.522687923006894
+5 0 1 0 0 18 24 19 -0.32675473916124
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+5 0 1 0 0 18 24 26 0.906689838509404
+5 0 1 0 0 18 24 27 0.97479194119371
+5 0 1 0 0 18 24 28 1.0002910024819
+5 0 1 0 0 18 24 29 0.982072547237071
+5 0 1 0 0 18 24 30 0.920932807932465
+5 0 1 0 0 18 24 31 0.819543887136743
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+5 0 1 0 0 18 24 33 0.515308643627994
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+5 0 1 0 0 18 24 37 -0.29245497689155
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+5 0 1 0 0 18 24 39 -0.656313685612398
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+5 0 1 0 0 18 24 43 -1.00028434661529
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+5 0 1 0 0 18 24 45 -0.920703925429241
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+5 0 1 0 0 18 24 48 -0.51439628850305
+5 0 1 0 0 18 24 49 -0.331848189189159
+5 0 1 0 0 18 24 50 -0.13229696414083
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -0.560635835560605
+6 0 1 0 0 18 24 18 -0.37479028636854
+6 0 1 0 0 18 24 19 -0.167099343892933
+6 0 1 0 0 18 24 20 0.0433063855857155
+6 0 1 0 0 18 24 21 0.248075716267435
+6 0 1 0 0 18 24 22 0.44529161114664
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+6 0 1 0 0 18 24 24 0.770913661103523
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+6 0 1 0 0 18 24 26 0.963660778433632
+6 0 1 0 0 18 24 27 0.998555105691453
+6 0 1 0 0 18 24 28 0.989808254976621
+6 0 1 0 0 18 24 29 0.937802023107061
+6 0 1 0 0 18 24 30 0.844809328655419
+6 0 1 0 0 18 24 31 0.714894429723987
+6 0 1 0 0 18 24 32 0.553735196254365
+6 0 1 0 0 18 24 33 0.368375094802212
+6 0 1 0 0 18 24 34 0.166915217894599
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+6 0 1 0 0 18 24 36 -0.248765918016292
+6 0 1 0 0 18 24 37 -0.444819922029468
+6 0 1 0 0 18 24 38 -0.6214331667093
+6 0 1 0 0 18 24 39 -0.770886796302747
+6 0 1 0 0 18 24 40 -0.886648955614287
+6 0 1 0 0 18 24 41 -0.963659934719013
+6 0 1 0 0 18 24 42 -0.998552818877105
+6 0 1 0 0 18 24 43 -0.989783358539405
+6 0 1 0 0 18 24 44 -0.9377264191068
+6 0 1 0 0 18 24 45 -0.844368072819784
+6 0 1 0 0 18 24 46 -0.714228474357431
+6 0 1 0 0 18 24 47 -0.552324089428665
+6 0 1 0 0 18 24 48 -0.368609812959771
+6 0 1 0 0 18 24 49 -0.17360369044051
+6 0 1 0 0 18 24 50 0.0320404960624437
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 0.851778147743213
+6 0 0 0 0 18 24 2 0.562009242653597
+6 0 0 0 0 18 24 4 0.175063833815484
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+6 0 0 0 0 18 24 64 0.175063833815484
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+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -0.420092473983329
+7 0 1 0 0 18 24 18 -0.220427467332234
+7 0 1 0 0 18 24 19 -0.00277898182124937
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+7 0 1 0 0 18 24 50 0.191676359841948
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -0.264346524141334
+8 0 1 0 0 18 24 18 -0.0559225493391202
+8 0 1 0 0 18 24 19 0.161684727900368
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+8 0 1 0 0 18 24 49 0.150781611667243
+8 0 1 0 0 18 24 50 0.3507341680116
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 0.637920049169408
+8 0 0 0 0 18 24 2 0.266772904316275
+8 0 0 0 0 18 24 4 -0.1505015869729
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+8 0 0 0 0 18 24 56 1.00423985390878
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+8 0 0 0 0 18 24 64 -0.1505015869729
+8 0 0 0 0 18 24 66 -0.541752986610458
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -0.105350213130218
+9 0 1 0 0 18 24 18 0.105969271429982
+9 0 1 0 0 18 24 19 0.321804486413214
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+9 0 1 0 0 18 24 49 0.307430971877061
+9 0 1 0 0 18 24 50 0.496884510316423
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 0.060835473967743
+10 0 1 0 0 18 24 18 0.269499727035345
+10 0 1 0 0 18 24 19 0.473244524864263
+10 0 1 0 0 18 24 20 0.640279008934002
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+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 0.356398201603107
+10 0 0 0 0 18 24 2 -0.0573018562906155
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+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 0.221369651697714
+11 0 1 0 0 18 24 18 0.421618819987773
+11 0 1 0 0 18 24 19 0.611912143524814
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+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 0.380270909574741
+12 0 1 0 0 18 24 18 0.566676549450331
+12 0 1 0 0 18 24 19 0.734140603864215
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+12 0 1 0 0 18 24 49 0.72068246618314
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+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 0.0366537871779
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+12 0 0 0 0 18 24 64 -0.723996248719062
+12 0 0 0 0 18 24 66 -0.946605480875195
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.xl
new file mode 100644
index 000000000..83e3a7c55
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.xl
@@ -0,0 +1,482 @@
+# HYDROTOY::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -0.196827067972686
+0 0 1 0 0 10 24 32 -0.0665789627081124
+0 0 1 0 0 11 24 32 0.0665789627081145
+0 0 1 0 0 12 24 32 0.196827067972688
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+0 0 1 0 0 26 24 32 -0.0665789627081126
+0 0 1 0 0 27 24 32 -0.196827067972686
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -0.515299953858482
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+0 0 0 0 0 32 24 32 -0.62302697845592
+0 0 0 0 0 34 24 32 -0.62302697845592
+0 0 0 0 0 36 24 32 -0.515299953858482
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -0.0973195350500494
+1 0 1 0 0 10 24 32 0.0356668155049764
+1 0 1 0 0 11 24 32 0.169271369771323
+1 0 1 0 0 12 24 32 0.293071522772708
+1 0 1 0 0 13 24 32 0.404256490972886
+1 0 1 0 0 14 24 32 0.497773510679683
+1 0 1 0 0 15 24 32 0.569535439387465
+1 0 1 0 0 16 24 32 0.616405936459762
+1 0 1 0 0 17 24 32 0.636336536264916
+1 0 1 0 0 18 24 32 0.628456175953815
+1 0 1 0 0 19 24 32 0.593109265086217
+1 0 1 0 0 20 24 32 0.531840633280333
+1 0 1 0 0 21 24 32 0.447328013745593
+1 0 1 0 0 22 24 32 0.343265013492209
+1 0 1 0 0 23 24 32 0.22419968498093
+1 0 1 0 0 24 24 32 0.0953357544065354
+1 0 1 0 0 25 24 32 -0.0371738401891932
+1 0 1 0 0 26 24 32 -0.167163605655932
+1 0 1 0 0 27 24 32 -0.291147369612687
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0.00664574421749244
+2 0 1 0 0 10 24 32 0.139079131940516
+2 0 1 0 0 11 24 32 0.267990694475707
+2 0 1 0 0 12 24 32 0.381367593493265
+2 0 1 0 0 13 24 32 0.479211475772128
+2 0 1 0 0 14 24 32 0.556000672787044
+2 0 1 0 0 15 24 32 0.608496017634465
+2 0 1 0 0 16 24 32 0.634397166623412
+2 0 1 0 0 17 24 32 0.632572115255564
+2 0 1 0 0 18 24 32 0.603100627033265
+2 0 1 0 0 19 24 32 0.54727074741172
+2 0 1 0 0 20 24 32 0.467522510031876
+2 0 1 0 0 21 24 32 0.367341295541731
+2 0 1 0 0 22 24 32 0.251105503737309
+2 0 1 0 0 23 24 32 0.12391147666661
+2 0 1 0 0 24 24 32 -0.00858254917153948
+2 0 1 0 0 25 24 32 -0.139448071603551
+2 0 1 0 0 26 24 32 -0.265429365246958
+2 0 1 0 0 27 24 32 -0.379908726375628
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -0.608492170320791
+2 0 0 0 0 2 24 32 -0.633457407715208
+2 0 0 0 0 4 24 32 -0.548892104535778
+2 0 0 0 0 6 24 32 -0.369418369953888
+2 0 0 0 0 8 24 32 -0.126068843146438
+2 0 0 0 0 10 24 32 0.139079131940516
+2 0 0 0 0 12 24 32 0.381367593493265
+2 0 0 0 0 14 24 32 0.556000672787044
+2 0 0 0 0 16 24 32 0.634397166623412
+2 0 0 0 0 18 24 32 0.603100627033265
+2 0 0 0 0 20 24 32 0.467522510031876
+2 0 0 0 0 22 24 32 0.251105503737309
+2 0 0 0 0 24 24 32 -0.00858254917153948
+2 0 0 0 0 26 24 32 -0.265429365246958
+2 0 0 0 0 28 24 32 -0.478313108700085
+2 0 0 0 0 30 24 32 -0.608492170320791
+2 0 0 0 0 32 24 32 -0.633457407715208
+2 0 0 0 0 34 24 32 -0.548892104535778
+2 0 0 0 0 36 24 32 -0.369418369953888
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0.108210098794584
+3 0 1 0 0 10 24 32 0.236718081195018
+3 0 1 0 0 11 24 32 0.360012376812624
+3 0 1 0 0 12 24 32 0.45931441127479
+3 0 1 0 0 13 24 32 0.541374934608528
+3 0 1 0 0 14 24 32 0.599311127754145
+3 0 1 0 0 15 24 32 0.63113287627763
+3 0 1 0 0 16 24 32 0.635366511859372
+3 0 1 0 0 17 24 32 0.611831770959215
+3 0 1 0 0 18 24 32 0.561557045773571
+3 0 1 0 0 19 24 32 0.48673958303795
+3 0 1 0 0 20 24 32 0.390649264887917
+3 0 1 0 0 21 24 32 0.27748620807491
+3 0 1 0 0 22 24 32 0.152202018728468
+3 0 1 0 0 23 24 32 0.0203690488063119
+3 0 1 0 0 24 24 32 -0.112125435319296
+3 0 1 0 0 25 24 32 -0.237591030872871
+3 0 1 0 0 26 24 32 -0.354406683323582
+3 0 1 0 0 27 24 32 -0.456530052035244
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0.209854971679238
+4 0 1 0 0 10 24 32 0.330896965069647
+4 0 1 0 0 11 24 32 0.442672561943264
+4 0 1 0 0 12 24 32 0.524683036040805
+4 0 1 0 0 13 24 32 0.589123550896575
+4 0 1 0 0 14 24 32 0.626525057575401
+4 0 1 0 0 15 24 32 0.636838472170445
+4 0 1 0 0 16 24 32 0.619284745694651
+4 0 1 0 0 17 24 32 0.574669469482085
+4 0 1 0 0 18 24 32 0.504938202020884
+4 0 1 0 0 19 24 32 0.413138733971208
+4 0 1 0 0 20 24 32 0.303283404610584
+4 0 1 0 0 21 24 32 0.180179377260964
+4 0 1 0 0 22 24 32 0.0492284300615583
+4 0 1 0 0 23 24 32 -0.0835917096252756
+4 0 1 0 0 24 24 32 -0.212391501213837
+4 0 1 0 0 25 24 32 -0.329109854319301
+4 0 1 0 0 26 24 32 -0.436418745938339
+4 0 1 0 0 27 24 32 -0.523399898662173
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -0.638086200378305
+4 0 0 0 0 2 24 32 -0.57748024821656
+4 0 0 0 0 4 24 32 -0.417022714894814
+4 0 0 0 0 6 24 32 -0.184458165635327
+4 0 0 0 0 8 24 32 0.0800380178333529
+4 0 0 0 0 10 24 32 0.330896965069647
+4 0 0 0 0 12 24 32 0.524683036040805
+4 0 0 0 0 14 24 32 0.626525057575401
+4 0 0 0 0 16 24 32 0.619284745694651
+4 0 0 0 0 18 24 32 0.504938202020884
+4 0 0 0 0 20 24 32 0.303283404610584
+4 0 0 0 0 22 24 32 0.0492284300615583
+4 0 0 0 0 24 24 32 -0.212391501213837
+4 0 0 0 0 26 24 32 -0.436418745938339
+4 0 0 0 0 28 24 32 -0.588421629037836
+4 0 0 0 0 30 24 32 -0.638086200378305
+4 0 0 0 0 32 24 32 -0.57748024821656
+4 0 0 0 0 34 24 32 -0.417022714894814
+4 0 0 0 0 36 24 32 -0.184458165635327
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0.303368518709485
+5 0 1 0 0 10 24 32 0.413783718767214
+5 0 1 0 0 11 24 32 0.51354681138373
+5 0 1 0 0 12 24 32 0.575793832687342
+5 0 1 0 0 13 24 32 0.621256115896745
+5 0 1 0 0 14 24 32 0.636882424518159
+5 0 1 0 0 15 24 32 0.625465785285577
+5 0 1 0 0 16 24 32 0.586579529997068
+5 0 1 0 0 17 24 32 0.522080446202038
+5 0 1 0 0 18 24 32 0.434761914942754
+5 0 1 0 0 19 24 32 0.328442718597702
+5 0 1 0 0 20 24 32 0.20777106148296
+5 0 1 0 0 21 24 32 0.0780459267880942
+5 0 1 0 0 22 24 32 -0.055019271700067
+5 0 1 0 0 23 24 32 -0.185096409177277
+5 0 1 0 0 24 24 32 -0.306759215123936
+5 0 1 0 0 25 24 32 -0.411778600159822
+5 0 1 0 0 26 24 32 -0.504887654532882
+5 0 1 0 0 27 24 32 -0.574676641303666
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0.391399456585256
+6 0 1 0 0 10 24 32 0.487989030553447
+6 0 1 0 0 11 24 32 0.570641986851277
+6 0 1 0 0 12 24 32 0.611229236444156
+6 0 1 0 0 13 24 32 0.636938335234609
+6 0 1 0 0 14 24 32 0.630066660312417
+6 0 1 0 0 15 24 32 0.597336665801499
+6 0 1 0 0 16 24 32 0.538122600934815
+6 0 1 0 0 17 24 32 0.455475090499822
+6 0 1 0 0 18 24 32 0.352910397571519
+6 0 1 0 0 19 24 32 0.234925412789135
+6 0 1 0 0 20 24 32 0.106680710314624
+6 0 1 0 0 21 24 32 -0.0261473226398542
+6 0 1 0 0 22 24 32 -0.157701823390915
+6 0 1 0 0 23 24 32 -0.281392467904433
+6 0 1 0 0 24 24 32 -0.392682928411136
+6 0 1 0 0 25 24 32 -0.483483592956596
+6 0 1 0 0 26 24 32 -0.562006041959994
+6 0 1 0 0 27 24 32 -0.612431324869577
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -0.60076846793495
+6 0 0 0 0 2 24 32 -0.460811012388645
+6 0 0 0 0 4 24 32 -0.241137210479794
+6 0 0 0 0 6 24 32 0.0202454642268279
+6 0 0 0 0 8 24 32 0.278224376857334
+6 0 0 0 0 10 24 32 0.487989030553447
+6 0 0 0 0 12 24 32 0.611229236444156
+6 0 0 0 0 14 24 32 0.630066660312417
+6 0 0 0 0 16 24 32 0.538122600934815
+6 0 0 0 0 18 24 32 0.352910397571519
+6 0 0 0 0 20 24 32 0.106680710314624
+6 0 0 0 0 22 24 32 -0.157701823390915
+6 0 0 0 0 24 24 32 -0.392682928411136
+6 0 0 0 0 26 24 32 -0.562006041959994
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+6 0 0 0 0 30 24 32 -0.60076846793495
+6 0 0 0 0 32 24 32 -0.460811012388645
+6 0 0 0 0 34 24 32 -0.241137210479794
+6 0 0 0 0 36 24 32 0.0202454642268279
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0.466782278043679
+7 0 1 0 0 10 24 32 0.547008653138462
+7 0 1 0 0 11 24 32 0.612241171230807
+7 0 1 0 0 12 24 32 0.630165797980614
+7 0 1 0 0 13 24 32 0.635776723010824
+7 0 1 0 0 14 24 32 0.606221056174996
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+7 0 1 0 0 16 24 32 0.475204547526585
+7 0 1 0 0 17 24 32 0.376642269373464
+7 0 1 0 0 18 24 32 0.261579849657015
+7 0 1 0 0 19 24 32 0.135100425501602
+7 0 1 0 0 20 24 32 0.00273622951808676
+7 0 1 0 0 21 24 32 -0.129567413114122
+7 0 1 0 0 22 24 32 -0.256022393751796
+7 0 1 0 0 23 24 32 -0.36988054024403
+7 0 1 0 0 24 24 32 -0.46800213689998
+7 0 1 0 0 25 24 32 -0.542544736795203
+7 0 1 0 0 26 24 32 -0.603004321403345
+7 0 1 0 0 27 24 32 -0.633088798646662
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0.531659286857421
+8 0 1 0 0 10 24 32 0.59301066895222
+8 0 1 0 0 11 24 32 0.637232358478579
+8 0 1 0 0 12 24 32 0.632104537521655
+8 0 1 0 0 13 24 32 0.617758600160912
+8 0 1 0 0 14 24 32 0.565953167545442
+8 0 1 0 0 15 24 32 0.494374049923271
+8 0 1 0 0 16 24 32 0.399498960611568
+8 0 1 0 0 17 24 32 0.287703084765766
+8 0 1 0 0 18 24 32 0.163221645576797
+8 0 1 0 0 19 24 32 0.0316555314786178
+8 0 1 0 0 20 24 32 -0.101255061993592
+8 0 1 0 0 21 24 32 -0.229395215398181
+8 0 1 0 0 22 24 32 -0.347312115527003
+8 0 1 0 0 23 24 32 -0.448245536354377
+8 0 1 0 0 24 24 32 -0.530782879899847
+8 0 1 0 0 25 24 32 -0.58743364315645
+8 0 1 0 0 26 24 32 -0.629472355135045
+8 0 1 0 0 27 24 32 -0.637816122036855
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -0.500260122819249
+8 0 0 0 0 2 24 32 -0.295572051448085
+8 0 0 0 0 4 24 32 -0.0396132690882706
+8 0 0 0 0 6 24 32 0.223204098527639
+8 0 0 0 0 8 24 32 0.447495798107447
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+8 0 0 0 0 16 24 32 0.399498960611568
+8 0 0 0 0 18 24 32 0.163221645576797
+8 0 0 0 0 20 24 32 -0.101255061993592
+8 0 0 0 0 22 24 32 -0.347312115527003
+8 0 0 0 0 24 24 32 -0.530782879899847
+8 0 0 0 0 26 24 32 -0.629472355135045
+8 0 0 0 0 28 24 32 -0.619127662102149
+8 0 0 0 0 30 24 32 -0.500260122819249
+8 0 0 0 0 32 24 32 -0.295572051448085
+8 0 0 0 0 34 24 32 -0.0396132690882706
+8 0 0 0 0 36 24 32 0.223204098527639
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0.580685298358815
+9 0 1 0 0 10 24 32 0.621626825713215
+9 0 1 0 0 11 24 32 0.644827677374528
+9 0 1 0 0 12 24 32 0.617104640249006
+9 0 1 0 0 13 24 32 0.583310235338105
+9 0 1 0 0 14 24 32 0.510327896750514
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+9 0 1 0 0 16 24 32 0.313017359350813
+9 0 1 0 0 17 24 32 0.191055996057573
+9 0 1 0 0 18 24 32 0.0604766672451975
+9 0 1 0 0 19 24 32 -0.0726175381988089
+9 0 1 0 0 20 24 32 -0.202478090233785
+9 0 1 0 0 21 24 32 -0.322910353759578
+9 0 1 0 0 22 24 32 -0.429114360527023
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+9 0 1 0 0 24 24 32 -0.579515412027335
+9 0 1 0 0 25 24 32 -0.61713211506881
+9 0 1 0 0 26 24 32 -0.638833396418837
+9 0 1 0 0 27 24 32 -0.625668500941253
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0.615347223979753
+10 0 1 0 0 10 24 32 0.634313207515283
+10 0 1 0 0 11 24 32 0.634923718002873
+10 0 1 0 0 12 24 32 0.585577389407132
+10 0 1 0 0 13 24 32 0.53324714402456
+10 0 1 0 0 14 24 32 0.440843312581992
+10 0 1 0 0 15 24 32 0.339200288587481
+10 0 1 0 0 16 24 32 0.218057035692635
+10 0 1 0 0 17 24 32 0.0893142044843637
+10 0 1 0 0 18 24 32 -0.0438955148072313
+10 0 1 0 0 19 24 32 -0.174896754323637
+10 0 1 0 0 20 24 32 -0.298188407095373
+10 0 1 0 0 21 24 32 -0.407575169699699
+10 0 1 0 0 22 24 32 -0.499258930103551
+10 0 1 0 0 23 24 32 -0.566934810194031
+10 0 1 0 0 24 24 32 -0.613018252323881
+10 0 1 0 0 25 24 32 -0.630808974152969
+10 0 1 0 0 26 24 32 -0.631946360833473
+10 0 1 0 0 27 24 32 -0.59679801832679
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -0.346991088724117
+10 0 0 0 0 2 24 32 -0.0990292266893935
+10 0 0 0 0 4 24 32 0.166426601530943
+10 0 0 0 0 6 24 32 0.402982080641666
+10 0 0 0 0 8 24 32 0.569721980277897
+10 0 0 0 0 10 24 32 0.634313207515283
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+10 0 0 0 0 14 24 32 0.440843312581992
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+10 0 0 0 0 18 24 32 -0.0438955148072313
+10 0 0 0 0 20 24 32 -0.298188407095373
+10 0 0 0 0 22 24 32 -0.499258930103551
+10 0 0 0 0 24 24 32 -0.613018252323881
+10 0 0 0 0 26 24 32 -0.631946360833473
+10 0 0 0 0 28 24 32 -0.535937783454686
+10 0 0 0 0 30 24 32 -0.346991088724117
+10 0 0 0 0 32 24 32 -0.0990292266893935
+10 0 0 0 0 34 24 32 0.166426601530943
+10 0 0 0 0 36 24 32 0.402982080641666
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0.63261746110972
+11 0 1 0 0 10 24 32 0.629359771320221
+11 0 1 0 0 11 24 32 0.607730154353028
+11 0 1 0 0 12 24 32 0.538405527874346
+11 0 1 0 0 13 24 32 0.468808356768689
+11 0 1 0 0 14 24 32 0.359392246396134
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+11 0 1 0 0 16 24 32 0.117143046858248
+11 0 1 0 0 17 24 32 -0.0147638174008543
+11 0 1 0 0 18 24 32 -0.147090794529019
+11 0 1 0 0 19 24 32 -0.27240576122327
+11 0 1 0 0 20 24 32 -0.385791191819795
+11 0 1 0 0 21 24 32 -0.481114813817196
+11 0 1 0 0 22 24 32 -0.555925441432385
+11 0 1 0 0 23 24 32 -0.604375594383203
+11 0 1 0 0 24 24 32 -0.630517847656859
+11 0 1 0 0 25 24 32 -0.628187310635159
+11 0 1 0 0 26 24 32 -0.60863913501185
+11 0 1 0 0 27 24 32 -0.552962261725833
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 0.633286276437354
+12 0 1 0 0 10 24 32 0.607336531474097
+12 0 1 0 0 11 24 32 0.564124714907532
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+12 0 1 0 0 14 24 32 0.268205916326188
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+12 0 1 0 0 17 24 32 -0.118349533671474
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+12 0 1 0 0 19 24 32 -0.362490814029399
+12 0 1 0 0 20 24 32 -0.462918474620023
+12 0 1 0 0 21 24 32 -0.541587285793128
+12 0 1 0 0 22 24 32 -0.59768879814306
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+12 0 1 0 0 24 24 32 -0.631634963619643
+12 0 1 0 0 25 24 32 -0.609211589482629
+12 0 1 0 0 26 24 32 -0.568969090076336
+12 0 1 0 0 27 24 32 -0.493329977251036
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -0.157043483246334
+12 0 0 0 0 2 24 32 0.108219403439306
+12 0 0 0 0 4 24 32 0.355310747169661
+12 0 0 0 0 6 24 32 0.540432865235801
+12 0 0 0 0 8 24 32 0.631634773110887
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+12 0 0 0 0 18 24 32 -0.246336127739087
+12 0 0 0 0 20 24 32 -0.462918474620023
+12 0 0 0 0 22 24 32 -0.59768879814306
+12 0 0 0 0 24 24 32 -0.631634963619643
+12 0 0 0 0 26 24 32 -0.568969090076336
+12 0 0 0 0 28 24 32 -0.39597367270725
+12 0 0 0 0 30 24 32 -0.157043483246334
+12 0 0 0 0 32 24 32 0.108219403439306
+12 0 0 0 0 34 24 32 0.355310747169661
+12 0 0 0 0 36 24 32 0.540432865235801
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.yl
new file mode 100644
index 000000000..382d64731
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.yl
@@ -0,0 +1,622 @@
+# HYDROTOY::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -2.93103742532793e-15
+0 0 1 0 0 18 14 32 0.0906468344985235
+0 0 1 0 0 18 15 32 0.179448360850545
+0 0 1 0 0 18 16 32 0.264596836061988
+0 0 1 0 0 18 17 32 0.344358882725476
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+0 0 1 0 0 18 25 32 0.630462582214916
+0 0 1 0 0 18 26 32 0.611144992588301
+0 0 1 0 0 18 27 32 0.579386253309212
+0 0 1 0 0 18 28 32 0.53583288072473
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+0 0 1 0 0 18 35 32 -3.07246779757962e-15
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+0 0 1 0 0 18 37 32 -0.17944836085055
+0 0 1 0 0 18 38 32 -0.264596836061994
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -0.611144992588299
+0 0 0 0 0 18 2 32 -0.636945771771587
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+0 0 0 0 0 18 18 32 0.417110775585686
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+0 0 0 0 0 18 22 32 0.611144992588301
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+0 0 0 0 0 18 26 32 0.611144992588301
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+0 0 0 0 0 18 48 32 -0.611144992588299
+0 0 0 0 0 18 50 32 -0.535832880724727
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0.101958040479921
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+1 0 1 0 0 18 37 32 -0.275010333503837
+1 0 1 0 0 18 38 32 -0.354054672129119
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0.203336824400688
+2 0 1 0 0 18 14 32 0.287310844989877
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+2 0 1 0 0 18 37 32 -0.365347955302905
+2 0 1 0 0 18 38 32 -0.436059668496852
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 -0.637195713383579
+2 0 0 0 0 18 2 32 -0.604381951846523
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+2 0 0 0 0 18 48 32 -0.522604758968737
+2 0 0 0 0 18 50 32 -0.398489236569475
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0.297122722560746
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+3 0 1 0 0 18 37 32 -0.444792713212239
+3 0 1 0 0 18 38 32 -0.504818975199184
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0.385785774294104
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+4 0 1 0 0 18 38 32 -0.562263542224784
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 -0.59648290094983
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+4 0 0 0 0 18 48 32 -0.379053515669004
+4 0 0 0 0 18 50 32 -0.2190379943654
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0.461982023582225
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+5 0 1 0 0 18 37 32 -0.567907470470853
+5 0 1 0 0 18 38 32 -0.603405776709597
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0.528170939056102
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+6 0 1 0 0 18 37 32 -0.608058940421168
+6 0 1 0 0 18 38 32 -0.629908209608308
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 -0.493113583217527
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+6 0 0 0 0 18 50 32 -0.0162449601242362
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0.578671104300322
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+7 0 1 0 0 18 38 32 -0.639028155964778
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0.615314473707338
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+8 0 1 0 0 18 37 32 -0.638237275477403
+8 0 1 0 0 18 38 32 -0.63167984409772
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -0.337794414256765
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+8 0 0 0 0 18 48 32 0.00900705762306821
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+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0.634684145500917
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+9 0 1 0 0 18 38 32 -0.60765616371159
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 0.637802949551435
+10 0 1 0 0 18 14 32 0.626242713945824
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+10 0 1 0 0 18 25 32 -0.133889237626754
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+10 0 1 0 0 18 29 32 -0.449331403403231
+10 0 1 0 0 18 30 32 -0.509010837900783
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+10 0 1 0 0 18 37 32 -0.601093102339305
+10 0 1 0 0 18 38 32 -0.567026151571569
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -0.146717302248781
+10 0 0 0 0 18 2 32 0.0344564120422083
+10 0 0 0 0 18 4 32 0.212856332547802
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+10 0 0 0 0 18 10 32 0.594792870615756
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+10 0 0 0 0 18 22 32 0.13691747524807
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+10 0 0 0 0 18 26 32 -0.221157957223252
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+10 0 0 0 0 18 32 32 -0.596167406445972
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+10 0 0 0 0 18 48 32 0.212856332547802
+10 0 0 0 0 18 50 32 0.374010450518071
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0.623890701044922
+11 0 1 0 0 18 14 32 0.597981119610756
+11 0 1 0 0 18 15 32 0.555255460639951
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+11 0 1 0 0 18 37 32 -0.558366056910157
+11 0 1 0 0 18 38 32 -0.512163545938501
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0.593055239247653
+12 0 1 0 0 18 14 32 0.553241833268086
+12 0 1 0 0 18 15 32 0.496607693835816
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+12 0 1 0 0 18 37 32 -0.500387561732002
+12 0 1 0 0 18 38 32 -0.442277100725438
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0.060135210290912
+12 0 0 0 0 18 2 32 0.236957458686899
+12 0 0 0 0 18 4 32 0.394656523170681
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+12 0 0 0 0 18 48 32 0.394656523170681
+12 0 0 0 0 18 50 32 0.520374610204579
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.zl
new file mode 100644
index 000000000..74154f4f6
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vx.zl
@@ -0,0 +1,782 @@
+# HYDROTOY::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -0.636945771771587
+0 0 1 0 0 18 24 18 -0.62302697845592
+0 0 1 0 0 18 24 19 -0.581878916566593
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+0 0 1 0 0 18 24 25 0.0665789627081145
+0 0 1 0 0 18 24 26 0.196827067972688
+0 0 1 0 0 18 24 27 0.318472885885794
+0 0 1 0 0 18 24 28 0.426199910483233
+0 0 1 0 0 18 24 29 0.515299953858481
+0 0 1 0 0 18 24 30 0.581878916566594
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+0 0 1 0 0 18 24 32 0.636945771771587
+0 0 1 0 0 18 24 33 0.62302697845592
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+0 0 1 0 0 18 24 35 0.515299953858481
+0 0 1 0 0 18 24 36 0.426199910483233
+0 0 1 0 0 18 24 37 0.318472885885794
+0 0 1 0 0 18 24 38 0.196827067972688
+0 0 1 0 0 18 24 39 0.0665789627081145
+0 0 1 0 0 18 24 40 -0.0665789627081124
+0 0 1 0 0 18 24 41 -0.196827067972686
+0 0 1 0 0 18 24 42 -0.318472885885792
+0 0 1 0 0 18 24 43 -0.426199910483232
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+0 0 1 0 0 18 24 47 -0.636945771771587
+0 0 1 0 0 18 24 48 -0.62302697845592
+0 0 1 0 0 18 24 49 -0.581878916566595
+0 0 1 0 0 18 24 50 -0.515299953858482
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 0.581878916566596
+0 0 0 0 0 18 24 2 0.636945771771587
+0 0 0 0 0 18 24 4 0.581878916566593
+0 0 0 0 0 18 24 6 0.42619991048323
+0 0 0 0 0 18 24 8 0.196827067972683
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+0 0 0 0 0 18 24 12 -0.318472885885796
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+0 0 0 0 0 18 24 28 0.426199910483233
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+0 0 0 0 0 18 24 32 0.636945771771587
+0 0 0 0 0 18 24 34 0.581878916566594
+0 0 0 0 0 18 24 36 0.426199910483233
+0 0 0 0 0 18 24 38 0.196827067972688
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+0 0 0 0 0 18 24 42 -0.318472885885792
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+0 0 0 0 0 18 24 48 -0.62302697845592
+0 0 0 0 0 18 24 50 -0.515299953858482
+0 0 0 0 0 18 24 52 -0.318472885885796
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+0 0 0 0 0 18 24 56 0.196827067972684
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+0 0 0 0 0 18 24 62 0.636945771771587
+0 0 0 0 0 18 24 64 0.581878916566596
+0 0 0 0 0 18 24 66 0.426199910483237
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -0.628552655248775
+1 0 1 0 0 18 24 18 -0.594053210778659
+1 0 1 0 0 18 24 19 -0.531840633280331
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+1 0 1 0 0 18 24 30 0.616405936459762
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+1 0 1 0 0 18 24 32 0.628456175953815
+1 0 1 0 0 18 24 33 0.593109265086217
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+1 0 1 0 0 18 24 35 0.447328013745593
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+1 0 1 0 0 18 24 37 0.224199684980931
+1 0 1 0 0 18 24 38 0.0953357544065354
+1 0 1 0 0 18 24 39 -0.0376948061071307
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+1 0 1 0 0 18 24 41 -0.293071522772706
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+1 0 1 0 0 18 24 49 -0.532764421039846
+1 0 1 0 0 18 24 50 -0.448932909375275
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -0.603952191874012
+2 0 1 0 0 18 24 18 -0.548892104535778
+2 0 1 0 0 18 24 19 -0.467447866874051
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+2 0 1 0 0 18 24 28 0.556000672787044
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+2 0 1 0 0 18 24 33 0.54727074741172
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+2 0 1 0 0 18 24 49 -0.469079251221587
+2 0 1 0 0 18 24 50 -0.369418369953891
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 0.634847735200847
+2 0 0 0 0 18 24 2 0.604381951846527
+2 0 0 0 0 18 24 4 0.469413038380274
+2 0 0 0 0 18 24 6 0.253278346094499
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+2 0 0 0 0 18 24 32 0.603100627033265
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+2 0 0 0 0 18 24 64 0.469413038380274
+2 0 0 0 0 18 24 66 0.253278346094499
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -0.56404500468142
+3 0 1 0 0 18 24 18 -0.490169365593426
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+3 0 1 0 0 18 24 49 -0.393462752993905
+3 0 1 0 0 18 24 50 -0.281813846197895
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -0.50812143198451
+4 0 1 0 0 18 24 18 -0.417009758662887
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+4 0 1 0 0 18 24 33 0.41313871807259
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+4 0 1 0 0 18 24 49 -0.306499131785603
+4 0 1 0 0 18 24 50 -0.184433501239431
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 0.621361463077224
+4 0 0 0 0 18 24 2 0.508360375451162
+4 0 0 0 0 18 24 4 0.307459160600561
+4 0 0 0 0 18 24 6 0.0533954637033426
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+4 0 0 0 0 18 24 64 0.307459160600561
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+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -0.440215712712109
+5 0 1 0 0 18 24 18 -0.334569609426121
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+5 0 1 0 0 18 24 50 -0.0844937466888049
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -0.358773166285318
+6 0 1 0 0 18 24 18 -0.241130142655809
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+6 0 1 0 0 18 24 49 -0.111470001901406
+6 0 1 0 0 18 24 50 0.0204108879907517
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 0.542663970499057
+6 0 0 0 0 18 24 2 0.358814710696298
+6 0 0 0 0 18 24 4 0.112923127684829
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+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -0.269958967633508
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+7 0 1 0 0 18 24 49 -0.00884339110407254
+7 0 1 0 0 18 24 50 0.122278662024737
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -0.17154155732614
+8 0 1 0 0 18 24 18 -0.0397825887896061
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+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 0.406861988467461
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+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -0.0711814641347157
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+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 0.0338094988824368
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+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 0.228090403271795
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+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 0.135071702071379
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+11 0 1 0 0 18 24 49 0.380812836636222
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+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 0.235487791423327
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+12 0 1 0 0 18 24 32 -0.246336127739087
+12 0 1 0 0 18 24 33 -0.363083699144163
+12 0 1 0 0 18 24 34 -0.463969240309915
+12 0 1 0 0 18 24 35 -0.544571523420107
+12 0 1 0 0 18 24 36 -0.60137786205009
+12 0 1 0 0 18 24 37 -0.631898039776831
+12 0 1 0 0 18 24 38 -0.634803020668496
+12 0 1 0 0 18 24 39 -0.609965484385961
+12 0 1 0 0 18 24 40 -0.558470763155202
+12 0 1 0 0 18 24 41 -0.482597558318053
+12 0 1 0 0 18 24 42 -0.38565203315338
+12 0 1 0 0 18 24 43 -0.272095269213778
+12 0 1 0 0 18 24 44 -0.146677077416346
+12 0 1 0 0 18 24 45 -0.0158575858464714
+12 0 1 0 0 18 24 46 0.116261708401453
+12 0 1 0 0 18 24 47 0.241604611797312
+12 0 1 0 0 18 24 48 0.359101177998356
+12 0 1 0 0 18 24 49 0.460064930903093
+12 0 1 0 0 18 24 50 0.543167313638826
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 0.0250411599882911
+12 0 0 0 0 18 24 2 -0.23696361719395
+12 0 0 0 0 18 24 4 -0.457995382209808
+12 0 0 0 0 18 24 6 -0.599835554460835
+12 0 0 0 0 18 24 8 -0.637958747633108
+12 0 0 0 0 18 24 10 -0.565772783988883
+12 0 0 0 0 18 24 12 -0.395772336909954
+12 0 0 0 0 18 24 14 -0.15736127996645
+12 0 0 0 0 18 24 16 0.107658821956922
+12 0 0 0 0 18 24 18 0.353466358779619
+12 0 0 0 0 18 24 20 0.540367352347855
+12 0 0 0 0 18 24 22 0.63026628846697
+12 0 0 0 0 18 24 24 0.609662012104963
+12 0 0 0 0 18 24 26 0.482530252390807
+12 0 0 0 0 18 24 28 0.271714305718887
+12 0 0 0 0 18 24 30 0.0138906979409765
+12 0 0 0 0 18 24 32 -0.246336127739087
+12 0 0 0 0 18 24 34 -0.463969240309915
+12 0 0 0 0 18 24 36 -0.60137786205009
+12 0 0 0 0 18 24 38 -0.634803020668496
+12 0 0 0 0 18 24 40 -0.558470763155202
+12 0 0 0 0 18 24 42 -0.38565203315338
+12 0 0 0 0 18 24 44 -0.146677077416346
+12 0 0 0 0 18 24 46 0.116261708401453
+12 0 0 0 0 18 24 48 0.359101177998356
+12 0 0 0 0 18 24 50 0.543167313638826
+12 0 0 0 0 18 24 52 0.632108078351736
+12 0 0 0 0 18 24 54 0.615477391083384
+12 0 0 0 0 18 24 56 0.491491244887441
+12 0 0 0 0 18 24 58 0.282719842833278
+12 0 0 0 0 18 24 60 0.0250411599882911
+12 0 0 0 0 18 24 62 -0.23696361719395
+12 0 0 0 0 18 24 64 -0.457995382209808
+12 0 0 0 0 18 24 66 -0.599835554460835
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.xl
new file mode 100644
index 000000000..1c41a0453
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.xl
@@ -0,0 +1,482 @@
+# HYDROTOY::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -0.134200273617741
+0 0 1 0 0 10 24 32 -0.045394747300986
+0 0 1 0 0 11 24 32 0.0453947473009874
+0 0 1 0 0 12 24 32 0.134200273617742
+0 0 1 0 0 13 24 32 0.217140604013042
+0 0 1 0 0 14 24 32 0.290590848056751
+0 0 1 0 0 15 24 32 0.351340877630784
+0 0 1 0 0 16 24 32 0.39673562493177
+0 0 1 0 0 17 24 32 0.424791121674493
+0 0 1 0 0 18 24 32 0.434281208026084
+0 0 1 0 0 19 24 32 0.424791121674493
+0 0 1 0 0 20 24 32 0.39673562493177
+0 0 1 0 0 21 24 32 0.351340877630784
+0 0 1 0 0 22 24 32 0.290590848056751
+0 0 1 0 0 23 24 32 0.217140604013042
+0 0 1 0 0 24 24 32 0.134200273617742
+0 0 1 0 0 25 24 32 0.0453947473009874
+0 0 1 0 0 26 24 32 -0.045394747300986
+0 0 1 0 0 27 24 32 -0.134200273617741
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -0.351340877630785
+0 0 0 0 0 2 24 32 -0.424791121674493
+0 0 0 0 0 4 24 32 -0.424791121674492
+0 0 0 0 0 6 24 32 -0.351340877630783
+0 0 0 0 0 8 24 32 -0.217140604013041
+0 0 0 0 0 10 24 32 -0.045394747300986
+0 0 0 0 0 12 24 32 0.134200273617742
+0 0 0 0 0 14 24 32 0.290590848056751
+0 0 0 0 0 16 24 32 0.39673562493177
+0 0 0 0 0 18 24 32 0.434281208026084
+0 0 0 0 0 20 24 32 0.39673562493177
+0 0 0 0 0 22 24 32 0.290590848056751
+0 0 0 0 0 24 24 32 0.134200273617742
+0 0 0 0 0 26 24 32 -0.045394747300986
+0 0 0 0 0 28 24 32 -0.217140604013041
+0 0 0 0 0 30 24 32 -0.351340877630783
+0 0 0 0 0 32 24 32 -0.424791121674492
+0 0 0 0 0 34 24 32 -0.424791121674493
+0 0 0 0 0 36 24 32 -0.351340877630785
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -0.0655271005248178
+1 0 1 0 0 10 24 32 0.0251548699529308
+1 0 1 0 0 11 24 32 0.115554933383201
+1 0 1 0 0 12 24 32 0.200079272368088
+1 0 1 0 0 13 24 32 0.275859187063621
+1 0 1 0 0 14 24 32 0.33958273156523
+1 0 1 0 0 15 24 32 0.388464881198702
+1 0 1 0 0 16 24 32 0.420369251462477
+1 0 1 0 0 17 24 32 0.433901468281873
+1 0 1 0 0 18 24 32 0.428470108847102
+1 0 1 0 0 19 24 32 0.404312549628018
+1 0 1 0 0 20 24 32 0.362484591883325
+1 0 1 0 0 21 24 32 0.304814318079277
+1 0 1 0 0 22 24 32 0.233822195913786
+1 0 1 0 0 23 24 32 0.152610921783482
+1 0 1 0 0 24 24 32 0.064729818062789
+1 0 1 0 0 25 24 32 -0.0259802893153761
+1 0 1 0 0 26 24 32 -0.114784079645862
+1 0 1 0 0 27 24 32 -0.199254888577804
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0.0067368636882607
+2 0 1 0 0 10 24 32 0.0970575786127553
+2 0 1 0 0 11 24 32 0.182691419617382
+2 0 1 0 0 12 24 32 0.260571042573595
+2 0 1 0 0 13 24 32 0.327161478786347
+2 0 1 0 0 14 24 32 0.379439024041274
+2 0 1 0 0 15 24 32 0.415133263195151
+2 0 1 0 0 16 24 32 0.432684186716991
+2 0 1 0 0 17 24 32 0.431324735030215
+2 0 1 0 0 18 24 32 0.411114322696907
+2 0 1 0 0 19 24 32 0.372936241716352
+2 0 1 0 0 20 24 32 0.318459057426157
+2 0 1 0 0 21 24 32 0.250063684190337
+2 0 1 0 0 22 24 32 0.170739328016712
+2 0 1 0 0 23 24 32 0.0839528439105613
+2 0 1 0 0 24 24 32 -0.00648909154336562
+2 0 1 0 0 25 24 32 -0.0966107184904965
+2 0 1 0 0 26 24 32 -0.183131617804134
+2 0 1 0 0 27 24 32 -0.261016192773853
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -0.415891937557671
+2 0 0 0 0 2 24 32 -0.432015923162627
+2 0 0 0 0 4 24 32 -0.373440430911314
+2 0 0 0 0 6 24 32 -0.250293695555626
+2 0 0 0 0 8 24 32 -0.0838689063915308
+2 0 0 0 0 10 24 32 0.0970575786127553
+2 0 0 0 0 12 24 32 0.260571042573595
+2 0 0 0 0 14 24 32 0.379439024041274
+2 0 0 0 0 16 24 32 0.432684186716991
+2 0 0 0 0 18 24 32 0.411114322696907
+2 0 0 0 0 20 24 32 0.318459057426157
+2 0 0 0 0 22 24 32 0.170739328016712
+2 0 0 0 0 24 24 32 -0.00648909154336562
+2 0 0 0 0 26 24 32 -0.183131617804134
+2 0 0 0 0 28 24 32 -0.327856457689353
+2 0 0 0 0 30 24 32 -0.415891937557671
+2 0 0 0 0 32 24 32 -0.432015923162627
+2 0 0 0 0 34 24 32 -0.373440430911314
+2 0 0 0 0 36 24 32 -0.250293695555626
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0.0771461186784727
+3 0 1 0 0 10 24 32 0.164605362121077
+3 0 1 0 0 11 24 32 0.244983780636046
+3 0 1 0 0 12 24 32 0.31402442445534
+3 0 1 0 0 13 24 32 0.369672937924205
+3 0 1 0 0 14 24 32 0.409087313299692
+3 0 1 0 0 15 24 32 0.430627985877667
+3 0 1 0 0 16 24 32 0.433347700201702
+3 0 1 0 0 17 24 32 0.417128040593949
+3 0 1 0 0 18 24 32 0.382677884009827
+3 0 1 0 0 19 24 32 0.331502867602255
+3 0 1 0 0 20 24 32 0.265839585153217
+3 0 1 0 0 21 24 32 0.188557837193124
+3 0 1 0 0 22 24 32 0.103035634783726
+3 0 1 0 0 23 24 32 0.0130135931201852
+3 0 1 0 0 24 24 32 -0.0775221502079092
+3 0 1 0 0 25 24 32 -0.164618184676369
+3 0 1 0 0 26 24 32 -0.244894892163837
+3 0 1 0 0 27 24 32 -0.314259775831049
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0.147468779483187
+4 0 1 0 0 10 24 32 0.229700892663699
+4 0 1 0 0 11 24 32 0.300732746082803
+4 0 1 0 0 12 24 32 0.358988649969257
+4 0 1 0 0 13 24 32 0.402257985720142
+4 0 1 0 0 14 24 32 0.427726588564424
+4 0 1 0 0 15 24 32 0.434531163436785
+4 0 1 0 0 16 24 32 0.422339886309233
+4 0 1 0 0 17 24 32 0.391690568829183
+4 0 1 0 0 18 24 32 0.343922479923642
+4 0 1 0 0 19 24 32 0.28112332832228
+4 0 1 0 0 20 24 32 0.206037751663742
+4 0 1 0 0 21 24 32 0.121947507760215
+4 0 1 0 0 22 24 32 0.032531203593674
+4 0 1 0 0 23 24 32 -0.058295554405356
+4 0 1 0 0 24 24 32 -0.146451470290289
+4 0 1 0 0 25 24 32 -0.228218134191667
+4 0 1 0 0 26 24 32 -0.301921392595625
+4 0 1 0 0 27 24 32 -0.360663728378029
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -0.436390709668035
+4 0 0 0 0 2 24 32 -0.393242459943245
+4 0 0 0 0 4 24 32 -0.282099016398671
+4 0 0 0 0 6 24 32 -0.122178090129659
+4 0 0 0 0 8 24 32 0.0588685378758739
+4 0 0 0 0 10 24 32 0.229700892663699
+4 0 0 0 0 12 24 32 0.358988649969257
+4 0 0 0 0 14 24 32 0.427726588564424
+4 0 0 0 0 16 24 32 0.422339886309233
+4 0 0 0 0 18 24 32 0.343922479923642
+4 0 0 0 0 20 24 32 0.206037751663742
+4 0 0 0 0 22 24 32 0.032531203593674
+4 0 0 0 0 24 24 32 -0.146451470290289
+4 0 0 0 0 26 24 32 -0.301921392595625
+4 0 0 0 0 28 24 32 -0.404083041206084
+4 0 0 0 0 30 24 32 -0.436390709668035
+4 0 0 0 0 32 24 32 -0.393242459943245
+4 0 0 0 0 34 24 32 -0.282099016398671
+4 0 0 0 0 36 24 32 -0.122178090129659
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0.212244141686261
+5 0 1 0 0 10 24 32 0.287063113150458
+5 0 1 0 0 11 24 32 0.348424006707114
+5 0 1 0 0 12 24 32 0.394254849626787
+5 0 1 0 0 13 24 32 0.424047717070896
+5 0 1 0 0 14 24 32 0.434848185984851
+5 0 1 0 0 15 24 32 0.426736820912669
+5 0 1 0 0 16 24 32 0.3999540926423
+5 0 1 0 0 17 24 32 0.355693450187518
+5 0 1 0 0 18 24 32 0.295887048161633
+5 0 1 0 0 19 24 32 0.223148979477436
+5 0 1 0 0 20 24 32 0.140658429076654
+5 0 1 0 0 21 24 32 0.0520214200343293
+5 0 1 0 0 22 24 32 -0.0388756285145791
+5 0 1 0 0 23 24 32 -0.128053943221017
+5 0 1 0 0 24 24 32 -0.211433673108132
+5 0 1 0 0 25 24 32 -0.285728321752411
+5 0 1 0 0 26 24 32 -0.349528760824923
+5 0 1 0 0 27 24 32 -0.39634969310768
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0.273203853098232
+6 0 1 0 0 10 24 32 0.338452375944743
+6 0 1 0 0 11 24 32 0.386742765207455
+6 0 1 0 0 12 24 32 0.418885595860807
+6 0 1 0 0 13 24 32 0.434460840132813
+6 0 1 0 0 14 24 32 0.430250335970447
+6 0 1 0 0 15 24 32 0.407454221406054
+6 0 1 0 0 16 24 32 0.366788741076218
+6 0 1 0 0 17 24 32 0.310101572877442
+6 0 1 0 0 18 24 32 0.239859924880352
+6 0 1 0 0 19 24 32 0.159135427636964
+6 0 1 0 0 20 24 32 0.0714570375060532
+6 0 1 0 0 21 24 32 -0.0193414086642659
+6 0 1 0 0 22 24 32 -0.109260477294765
+6 0 1 0 0 23 24 32 -0.194386280811355
+6 0 1 0 0 24 24 32 -0.270742368979911
+6 0 1 0 0 25 24 32 -0.335662236199065
+6 0 1 0 0 26 24 32 -0.389277782943257
+6 0 1 0 0 27 24 32 -0.422543458803771
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -0.410565567330891
+6 0 0 0 0 2 24 32 -0.31242836501202
+6 0 0 0 0 4 24 32 -0.160269949080453
+6 0 0 0 0 6 24 32 0.0195994917971793
+6 0 0 0 0 8 24 32 0.196055623535485
+6 0 0 0 0 10 24 32 0.338452375944743
+6 0 0 0 0 12 24 32 0.418885595860807
+6 0 0 0 0 14 24 32 0.430250335970447
+6 0 0 0 0 16 24 32 0.366788741076218
+6 0 0 0 0 18 24 32 0.239859924880352
+6 0 0 0 0 20 24 32 0.0714570375060532
+6 0 0 0 0 22 24 32 -0.109260477294765
+6 0 0 0 0 24 24 32 -0.270742368979911
+6 0 0 0 0 26 24 32 -0.389277782943257
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+6 0 0 0 0 30 24 32 -0.410565567330891
+6 0 0 0 0 32 24 32 -0.31242836501202
+6 0 0 0 0 34 24 32 -0.160269949080453
+6 0 0 0 0 36 24 32 0.0195994917971793
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0.325464368935162
+7 0 1 0 0 10 24 32 0.379512715255931
+7 0 1 0 0 11 24 32 0.414657266642639
+7 0 1 0 0 12 24 32 0.432244085101923
+7 0 1 0 0 13 24 32 0.433216952310621
+7 0 1 0 0 14 24 32 0.414045511677116
+7 0 1 0 0 15 24 32 0.377202429460594
+7 0 1 0 0 16 24 32 0.323730858209653
+7 0 1 0 0 17 24 32 0.256137836644431
+7 0 1 0 0 18 24 32 0.177344284653389
+7 0 1 0 0 19 24 32 0.0908008883239929
+7 0 1 0 0 20 24 32 0.000292795568621142
+7 0 1 0 0 21 24 32 -0.0902222128743593
+7 0 1 0 0 22 24 32 -0.176726769119859
+7 0 1 0 0 23 24 32 -0.255516149488442
+7 0 1 0 0 24 24 32 -0.322822638150437
+7 0 1 0 0 25 24 32 -0.376701962338033
+7 0 1 0 0 26 24 32 -0.417720222097029
+7 0 1 0 0 27 24 32 -0.43687830085631
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0.370567335265269
+8 0 1 0 0 10 24 32 0.411696119680897
+8 0 1 0 0 11 24 32 0.431387982039207
+8 0 1 0 0 12 24 32 0.433997713163954
+8 0 1 0 0 13 24 32 0.420343248558231
+8 0 1 0 0 14 24 32 0.386660413351344
+8 0 1 0 0 15 24 32 0.336796111603585
+8 0 1 0 0 16 24 32 0.271931946149666
+8 0 1 0 0 17 24 32 0.195250538118903
+8 0 1 0 0 18 24 32 0.110017789592695
+8 0 1 0 0 19 24 32 0.0199802048092162
+8 0 1 0 0 20 24 32 -0.070920989631559
+8 0 1 0 0 21 24 32 -0.158714671220646
+8 0 1 0 0 22 24 32 -0.239460041891297
+8 0 1 0 0 23 24 32 -0.30981554050892
+8 0 1 0 0 24 24 32 -0.366315463849669
+8 0 1 0 0 25 24 32 -0.407801613460115
+8 0 1 0 0 26 24 32 -0.436005490570773
+8 0 1 0 0 27 24 32 -0.440058865335931
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -0.341015490395521
+8 0 0 0 0 2 24 32 -0.197963326621379
+8 0 0 0 0 4 24 32 -0.0206895246249846
+8 0 0 0 0 6 24 32 0.160152282285711
+8 0 0 0 0 8 24 32 0.313180968320112
+8 0 0 0 0 10 24 32 0.411696119680897
+8 0 0 0 0 12 24 32 0.433997713163954
+8 0 0 0 0 14 24 32 0.386660413351344
+8 0 0 0 0 16 24 32 0.271931946149666
+8 0 0 0 0 18 24 32 0.110017789592695
+8 0 0 0 0 20 24 32 -0.070920989631559
+8 0 0 0 0 22 24 32 -0.239460041891297
+8 0 0 0 0 24 24 32 -0.366315463849669
+8 0 0 0 0 26 24 32 -0.436005490570773
+8 0 0 0 0 28 24 32 -0.42500328893717
+8 0 0 0 0 30 24 32 -0.341015490395521
+8 0 0 0 0 32 24 32 -0.197963326621379
+8 0 0 0 0 34 24 32 -0.0206895246249846
+8 0 0 0 0 36 24 32 0.160152282285711
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0.40472433295966
+9 0 1 0 0 10 24 32 0.432053209798574
+9 0 1 0 0 11 24 32 0.436501589035664
+9 0 1 0 0 12 24 32 0.424133990965851
+9 0 1 0 0 13 24 32 0.396173925804731
+9 0 1 0 0 14 24 32 0.348827223497969
+9 0 1 0 0 15 24 32 0.287322902859996
+9 0 1 0 0 16 24 32 0.212777082124188
+9 0 1 0 0 17 24 32 0.129074724110136
+9 0 1 0 0 18 24 32 0.0396875154614991
+9 0 1 0 0 19 24 32 -0.0514242987750253
+9 0 1 0 0 20 24 32 -0.140268517609755
+9 0 1 0 0 21 24 32 -0.222977453938369
+9 0 1 0 0 22 24 32 -0.295779632184713
+9 0 1 0 0 23 24 32 -0.355848998411944
+9 0 1 0 0 24 24 32 -0.4001030270749
+9 0 1 0 0 25 24 32 -0.428131406064973
+9 0 1 0 0 26 24 32 -0.442262507732612
+9 0 1 0 0 27 24 32 -0.431460728928029
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0.429132057232166
+10 0 1 0 0 10 24 32 0.441567112082651
+10 0 1 0 0 11 24 32 0.429837865282912
+10 0 1 0 0 12 24 32 0.402941073073906
+10 0 1 0 0 13 24 32 0.361342906811839
+10 0 1 0 0 14 24 32 0.301566427778743
+10 0 1 0 0 15 24 32 0.230113139101432
+10 0 1 0 0 16 24 32 0.147848271990149
+10 0 1 0 0 17 24 32 0.0593884728970499
+10 0 1 0 0 18 24 32 -0.0317586497379348
+10 0 1 0 0 19 24 32 -0.121493909724889
+10 0 1 0 0 20 24 32 -0.205883790527638
+10 0 1 0 0 21 24 32 -0.281285496586437
+10 0 1 0 0 22 24 32 -0.344186482124405
+10 0 1 0 0 23 24 32 -0.392410693377731
+10 0 1 0 0 24 24 32 -0.42331540809756
+10 0 1 0 0 25 24 32 -0.437182813324981
+10 0 1 0 0 26 24 32 -0.437114967126505
+10 0 1 0 0 27 24 32 -0.411207306620555
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -0.234954538137424
+10 0 0 0 0 2 24 32 -0.0617960598986781
+10 0 0 0 0 4 24 32 0.121999929781576
+10 0 0 0 0 6 24 32 0.284668741770483
+10 0 0 0 0 8 24 32 0.397780509173224
+10 0 0 0 0 10 24 32 0.441567112082651
+10 0 0 0 0 12 24 32 0.402941073073906
+10 0 0 0 0 14 24 32 0.301566427778743
+10 0 0 0 0 16 24 32 0.147848271990149
+10 0 0 0 0 18 24 32 -0.0317586497379348
+10 0 0 0 0 20 24 32 -0.205883790527638
+10 0 0 0 0 22 24 32 -0.344186482124405
+10 0 0 0 0 24 24 32 -0.42331540809756
+10 0 0 0 0 26 24 32 -0.437114967126505
+10 0 0 0 0 28 24 32 -0.367141877721348
+10 0 0 0 0 30 24 32 -0.234954538137424
+10 0 0 0 0 32 24 32 -0.0617960598986781
+10 0 0 0 0 34 24 32 0.121999929781576
+10 0 0 0 0 36 24 32 0.284668741770483
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0.441507949755574
+11 0 1 0 0 10 24 32 0.439022459161788
+11 0 1 0 0 11 24 32 0.411604017958423
+11 0 1 0 0 12 24 32 0.371012620781785
+11 0 1 0 0 13 24 32 0.316769233292228
+11 0 1 0 0 14 24 32 0.246160050947436
+11 0 1 0 0 15 24 32 0.166702973242801
+11 0 1 0 0 16 24 32 0.0788831235712899
+11 0 1 0 0 17 24 32 -0.0119348167579367
+11 0 1 0 0 18 24 32 -0.102402834773147
+11 0 1 0 0 19 24 32 -0.188345296614589
+11 0 1 0 0 20 24 32 -0.26600225795956
+11 0 1 0 0 21 24 32 -0.332078347314363
+11 0 1 0 0 22 24 32 -0.383403971474112
+11 0 1 0 0 23 24 32 -0.418553675621462
+11 0 1 0 0 24 24 32 -0.43536566363348
+11 0 1 0 0 25 24 32 -0.434691022888321
+11 0 1 0 0 26 24 32 -0.42045431587376
+11 0 1 0 0 27 24 32 -0.380479365877328
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 0.442576014719208
+12 0 1 0 0 10 24 32 0.424824373493099
+12 0 1 0 0 11 24 32 0.382269760325642
+12 0 1 0 0 12 24 32 0.329211022464841
+12 0 1 0 0 13 24 32 0.263635230516985
+12 0 1 0 0 14 24 32 0.184116735159756
+12 0 1 0 0 15 24 32 0.0987922789556663
+12 0 1 0 0 16 24 32 0.00772985229823211
+12 0 1 0 0 17 24 32 -0.0829769332431206
+12 0 1 0 0 18 24 32 -0.170348861978894
+12 0 1 0 0 19 24 32 -0.250181637234851
+12 0 1 0 0 20 24 32 -0.319010250383859
+12 0 1 0 0 21 24 32 -0.374003690058464
+12 0 1 0 0 22 24 32 -0.412411300033845
+12 0 1 0 0 23 24 32 -0.433610992882001
+12 0 1 0 0 24 24 32 -0.435941987996386
+12 0 1 0 0 25 24 32 -0.420733987916443
+12 0 1 0 0 26 24 32 -0.392316738267276
+12 0 1 0 0 27 24 32 -0.338809519776045
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -0.103466134186046
+12 0 0 0 0 2 24 32 0.0818160166257117
+12 0 0 0 0 4 24 32 0.252779621216233
+12 0 0 0 0 6 24 32 0.379970244898187
+12 0 0 0 0 8 24 32 0.440790029744001
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+12 0 0 0 0 12 24 32 0.329211022464841
+12 0 0 0 0 14 24 32 0.184116735159756
+12 0 0 0 0 16 24 32 0.00772985229823211
+12 0 0 0 0 18 24 32 -0.170348861978894
+12 0 0 0 0 20 24 32 -0.319010250383859
+12 0 0 0 0 22 24 32 -0.412411300033845
+12 0 0 0 0 24 24 32 -0.435941987996386
+12 0 0 0 0 26 24 32 -0.392316738267276
+12 0 0 0 0 28 24 32 -0.270010446022178
+12 0 0 0 0 30 24 32 -0.103466134186046
+12 0 0 0 0 32 24 32 0.0818160166257117
+12 0 0 0 0 34 24 32 0.252779621216233
+12 0 0 0 0 36 24 32 0.379970244898187
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.yl
new file mode 100644
index 000000000..8aabb04a9
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.yl
@@ -0,0 +1,622 @@
+# HYDROTOY::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -1.99843460817814e-15
+0 0 1 0 0 18 14 32 0.0618046598853572
+0 0 1 0 0 18 15 32 0.122351155125372
+0 0 1 0 0 18 16 32 0.180406933678629
+0 0 1 0 0 18 17 32 0.234790147312825
+0 0 1 0 0 18 18 32 0.284393710626606
+0 0 1 0 0 18 19 32 0.328207838115765
+0 0 1 0 0 18 20 32 0.365340600494136
+0 0 1 0 0 18 21 32 0.395036081801737
+0 0 1 0 0 18 22 32 0.416689767673843
+0 0 1 0 0 18 23 32 0.429860851510172
+0 0 1 0 0 18 24 32 0.434281208026084
+0 0 1 0 0 18 25 32 0.429860851510172
+0 0 1 0 0 18 26 32 0.416689767673843
+0 0 1 0 0 18 27 32 0.395036081801737
+0 0 1 0 0 18 28 32 0.365340600494136
+0 0 1 0 0 18 29 32 0.328207838115765
+0 0 1 0 0 18 30 32 0.284393710626605
+0 0 1 0 0 18 31 32 0.234790147312825
+0 0 1 0 0 18 32 32 0.180406933678629
+0 0 1 0 0 18 33 32 0.122351155125372
+0 0 1 0 0 18 34 32 0.0618046598853571
+0 0 1 0 0 18 35 32 -2.09486440744066e-15
+0 0 1 0 0 18 36 32 -0.0618046598853614
+0 0 1 0 0 18 37 32 -0.122351155125376
+0 0 1 0 0 18 38 32 -0.180406933678633
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -0.416689767673842
+0 0 0 0 0 18 2 32 -0.434281208026084
+0 0 0 0 0 18 4 32 -0.416689767673844
+0 0 0 0 0 18 6 32 -0.365340600494138
+0 0 0 0 0 18 8 32 -0.284393710626609
+0 0 0 0 0 18 10 32 -0.180406933678633
+0 0 0 0 0 18 12 32 -0.0618046598853613
+0 0 0 0 0 18 14 32 0.0618046598853572
+0 0 0 0 0 18 16 32 0.180406933678629
+0 0 0 0 0 18 18 32 0.284393710626606
+0 0 0 0 0 18 20 32 0.365340600494136
+0 0 0 0 0 18 22 32 0.416689767673843
+0 0 0 0 0 18 24 32 0.434281208026084
+0 0 0 0 0 18 26 32 0.416689767673843
+0 0 0 0 0 18 28 32 0.365340600494136
+0 0 0 0 0 18 30 32 0.284393710626605
+0 0 0 0 0 18 32 32 0.180406933678629
+0 0 0 0 0 18 34 32 0.0618046598853571
+0 0 0 0 0 18 36 32 -0.0618046598853614
+0 0 0 0 0 18 38 32 -0.180406933678633
+0 0 0 0 0 18 40 32 -0.284393710626609
+0 0 0 0 0 18 42 32 -0.365340600494138
+0 0 0 0 0 18 44 32 -0.416689767673844
+0 0 0 0 0 18 46 32 -0.434281208026084
+0 0 0 0 0 18 48 32 -0.416689767673842
+0 0 0 0 0 18 50 32 -0.365340600494133
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0.0703439898524511
+1 0 1 0 0 18 14 32 0.130653574550449
+1 0 1 0 0 18 15 32 0.189567498607748
+1 0 1 0 0 18 16 32 0.24271998099118
+1 0 1 0 0 18 17 32 0.291509860138235
+1 0 1 0 0 18 18 32 0.334365439177894
+1 0 1 0 0 18 19 32 0.370414302106194
+1 0 1 0 0 18 20 32 0.39892259803025
+1 0 1 0 0 18 21 32 0.419309980256186
+1 0 1 0 0 18 22 32 0.431161420474237
+1 0 1 0 0 18 23 32 0.434235657538295
+1 0 1 0 0 18 24 32 0.428470108847102
+1 0 1 0 0 18 25 32 0.413982144345543
+1 0 1 0 0 18 26 32 0.39106669721103
+1 0 1 0 0 18 27 32 0.360190259864528
+1 0 1 0 0 18 28 32 0.32198138753012
+1 0 1 0 0 18 29 32 0.277217902663245
+1 0 1 0 0 18 30 32 0.226811060728563
+1 0 1 0 0 18 31 32 0.171786999666535
+1 0 1 0 0 18 32 32 0.113265850684095
+1 0 1 0 0 18 33 32 0.0524389356134676
+1 0 1 0 0 18 34 32 -0.00945548496484734
+1 0 1 0 0 18 35 32 -0.0711574191366449
+1 0 1 0 0 18 36 32 -0.13061642591382
+1 0 1 0 0 18 37 32 -0.188263370629632
+1 0 1 0 0 18 38 32 -0.242098398209849
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0.14084446143139
+2 0 1 0 0 18 14 32 0.198027091420972
+2 0 1 0 0 18 15 32 0.252179375696328
+2 0 1 0 0 18 16 32 0.298437297091646
+2 0 1 0 0 18 17 32 0.340409197119966
+2 0 1 0 0 18 18 32 0.375342390722267
+2 0 1 0 0 18 19 32 0.402652773010971
+2 0 1 0 0 18 20 32 0.421766305995884
+2 0 1 0 0 18 21 32 0.43229389326431
+2 0 1 0 0 18 22 32 0.434021223498518
+2 0 1 0 0 18 23 32 0.42691313323615
+2 0 1 0 0 18 24 32 0.411114322696907
+2 0 1 0 0 18 25 32 0.386946410103362
+2 0 1 0 0 18 26 32 0.354901384461413
+2 0 1 0 0 18 27 32 0.315631590082908
+2 0 1 0 0 18 28 32 0.269936446736659
+2 0 1 0 0 18 29 32 0.218746175767282
+2 0 1 0 0 18 30 32 0.163102863471163
+2 0 1 0 0 18 31 32 0.104139247224589
+2 0 1 0 0 18 32 32 0.0430556562173124
+2 0 1 0 0 18 33 32 -0.0189044237882895
+2 0 1 0 0 18 34 32 -0.080454840255729
+2 0 1 0 0 18 35 32 -0.140320055798339
+2 0 1 0 0 18 36 32 -0.195484673423327
+2 0 1 0 0 18 37 32 -0.251117745439173
+2 0 1 0 0 18 38 32 -0.29917337139087
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 -0.434734210686685
+2 0 0 0 0 18 2 32 -0.411725364080886
+2 0 0 0 0 18 4 32 -0.355360977102279
+2 0 0 0 0 18 6 32 -0.270207357171949
+2 0 0 0 0 18 8 32 -0.163163144148577
+2 0 0 0 0 18 10 32 -0.0429004235548697
+2 0 0 0 0 18 12 32 0.0808378342166104
+2 0 0 0 0 18 14 32 0.198027091420972
+2 0 0 0 0 18 16 32 0.298437297091646
+2 0 0 0 0 18 18 32 0.375342390722267
+2 0 0 0 0 18 20 32 0.421766305995884
+2 0 0 0 0 18 22 32 0.434021223498518
+2 0 0 0 0 18 24 32 0.411114322696907
+2 0 0 0 0 18 26 32 0.354901384461413
+2 0 0 0 0 18 28 32 0.269936446736659
+2 0 0 0 0 18 30 32 0.163102863471163
+2 0 0 0 0 18 32 32 0.0430556562173124
+2 0 0 0 0 18 34 32 -0.080454840255729
+2 0 0 0 0 18 36 32 -0.195484673423327
+2 0 0 0 0 18 38 32 -0.29917337139087
+2 0 0 0 0 18 40 32 -0.376082404063224
+2 0 0 0 0 18 42 32 -0.422523477006553
+2 0 0 0 0 18 44 32 -0.434734210686685
+2 0 0 0 0 18 46 32 -0.411725364080886
+2 0 0 0 0 18 48 32 -0.355360977102279
+2 0 0 0 0 18 50 32 -0.270207357171949
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0.20591681313808
+3 0 1 0 0 18 14 32 0.258465400073283
+3 0 1 0 0 18 15 32 0.308390677347601
+3 0 1 0 0 18 16 32 0.346120033028418
+3 0 1 0 0 18 17 32 0.380244884370124
+3 0 1 0 0 18 18 32 0.406218698135714
+3 0 1 0 0 18 19 32 0.42405628041623
+3 0 1 0 0 18 20 32 0.433256347709528
+3 0 1 0 0 18 21 32 0.433637130089201
+3 0 1 0 0 18 22 32 0.425190311006477
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+3 0 1 0 0 18 24 32 0.382677884009827
+3 0 1 0 0 18 25 32 0.349477706513837
+3 0 1 0 0 18 26 32 0.309163170723708
+3 0 1 0 0 18 27 32 0.262554964330606
+3 0 1 0 0 18 28 32 0.210601896009727
+3 0 1 0 0 18 29 32 0.154361580411807
+3 0 1 0 0 18 30 32 0.0949789081787405
+3 0 1 0 0 18 31 32 0.0336627392717087
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+3 0 1 0 0 18 33 32 -0.0897579332605077
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+3 0 1 0 0 18 35 32 -0.205692983834552
+3 0 1 0 0 18 36 32 -0.254907497902016
+3 0 1 0 0 18 37 32 -0.303974128314889
+3 0 1 0 0 18 38 32 -0.346696931649922
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0.267330569551363
+4 0 1 0 0 18 14 32 0.313788437315263
+4 0 1 0 0 18 15 32 0.356530099036129
+4 0 1 0 0 18 16 32 0.384450359519543
+4 0 1 0 0 18 17 32 0.410001445589277
+4 0 1 0 0 18 18 32 0.426156887559206
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+4 0 1 0 0 18 20 32 0.433081970764409
+4 0 1 0 0 18 21 32 0.423301564794256
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+4 0 1 0 0 18 24 32 0.343922479923642
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+4 0 1 0 0 18 26 32 0.255078649340362
+4 0 1 0 0 18 27 32 0.202384236179853
+4 0 1 0 0 18 28 32 0.145569863598664
+4 0 1 0 0 18 29 32 0.0857921083834285
+4 0 1 0 0 18 30 32 0.0242678974876901
+4 0 1 0 0 18 31 32 -0.0377501473403739
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+4 0 1 0 0 18 33 32 -0.158209696473649
+4 0 1 0 0 18 34 32 -0.213801366144124
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+4 0 1 0 0 18 36 32 -0.307467375143102
+4 0 1 0 0 18 37 32 -0.351951932533074
+4 0 1 0 0 18 38 32 -0.386314052844263
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 -0.406533838434933
+4 0 0 0 0 18 2 32 -0.345214503330214
+4 0 0 0 0 18 4 32 -0.255927942235384
+4 0 0 0 0 18 6 32 -0.145907621322717
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+4 0 0 0 0 18 14 32 0.313788437315263
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+4 0 0 0 0 18 18 32 0.426156887559206
+4 0 0 0 0 18 20 32 0.433081970764409
+4 0 0 0 0 18 22 32 0.404903756569254
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+4 0 0 0 0 18 26 32 0.255078649340362
+4 0 0 0 0 18 28 32 0.145569863598664
+4 0 0 0 0 18 30 32 0.0242678974876901
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+4 0 0 0 0 18 48 32 -0.255927942235384
+4 0 0 0 0 18 50 32 -0.145907621322717
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0.320085964366158
+5 0 1 0 0 18 14 32 0.3591399188469
+5 0 1 0 0 18 15 32 0.395082623492032
+5 0 1 0 0 18 16 32 0.412478246731018
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+5 0 1 0 0 18 25 32 0.247512227344215
+5 0 1 0 0 18 26 32 0.194098771343741
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+5 0 1 0 0 18 30 32 -0.0471312827299673
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+5 0 1 0 0 18 35 32 -0.317894711386706
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+5 0 1 0 0 18 37 32 -0.387260637288678
+5 0 1 0 0 18 38 32 -0.414744227142273
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0.365696797080043
+6 0 1 0 0 18 14 32 0.396138606101531
+6 0 1 0 0 18 15 32 0.422943090894316
+6 0 1 0 0 18 16 32 0.429432240268094
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+6 0 1 0 0 18 18 32 0.431353636551423
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+6 0 1 0 0 18 20 32 0.398059506565544
+6 0 1 0 0 18 21 32 0.369004613430039
+6 0 1 0 0 18 22 32 0.33242782995934
+6 0 1 0 0 18 23 32 0.289086415796168
+6 0 1 0 0 18 24 32 0.239859924880352
+6 0 1 0 0 18 25 32 0.185750595367194
+6 0 1 0 0 18 26 32 0.127859919100818
+6 0 1 0 0 18 27 32 0.0673663839761382
+6 0 1 0 0 18 28 32 0.00550148513731612
+6 0 1 0 0 18 29 32 -0.0564753444893559
+6 0 1 0 0 18 30 32 -0.11729960525142
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+6 0 1 0 0 18 32 32 -0.230478944998014
+6 0 1 0 0 18 33 32 -0.280606048084516
+6 0 1 0 0 18 34 32 -0.323588759402206
+6 0 1 0 0 18 35 32 -0.361705611787978
+6 0 1 0 0 18 36 32 -0.387115021875076
+6 0 1 0 0 18 37 32 -0.415651870714699
+6 0 1 0 0 18 38 32 -0.433080957154493
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 -0.334930965820826
+6 0 0 0 0 18 2 32 -0.241629337810503
+6 0 0 0 0 18 4 32 -0.128749855045699
+6 0 0 0 0 18 6 32 -0.00543982472995432
+6 0 0 0 0 18 8 32 0.118310189010964
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+6 0 0 0 0 18 14 32 0.396138606101531
+6 0 0 0 0 18 16 32 0.429432240268094
+6 0 0 0 0 18 18 32 0.431353636551423
+6 0 0 0 0 18 20 32 0.398059506565544
+6 0 0 0 0 18 22 32 0.33242782995934
+6 0 0 0 0 18 24 32 0.239859924880352
+6 0 0 0 0 18 26 32 0.127859919100818
+6 0 0 0 0 18 28 32 0.00550148513731612
+6 0 0 0 0 18 30 32 -0.11729960525142
+6 0 0 0 0 18 32 32 -0.230478944998014
+6 0 0 0 0 18 34 32 -0.323588759402206
+6 0 0 0 0 18 36 32 -0.387115021875076
+6 0 0 0 0 18 38 32 -0.433080957154493
+6 0 0 0 0 18 40 32 -0.434335400381798
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+6 0 0 0 0 18 48 32 -0.128749855045699
+6 0 0 0 0 18 50 32 -0.00543982472995432
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0.400315364568352
+7 0 1 0 0 18 14 32 0.421256483041386
+7 0 1 0 0 18 15 32 0.439168587810135
+7 0 1 0 0 18 16 32 0.434911570047263
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+7 0 1 0 0 18 19 32 0.394662999027859
+7 0 1 0 0 18 20 32 0.364143406660115
+7 0 1 0 0 18 21 32 0.326502701653214
+7 0 1 0 0 18 22 32 0.28218079964104
+7 0 1 0 0 18 23 32 0.232125605621825
+7 0 1 0 0 18 24 32 0.177344284653389
+7 0 1 0 0 18 25 32 0.118952908674969
+7 0 1 0 0 18 26 32 0.0581399897113741
+7 0 1 0 0 18 27 32 -0.00385648692967544
+7 0 1 0 0 18 28 32 -0.0657742725394403
+7 0 1 0 0 18 29 32 -0.126352883952262
+7 0 1 0 0 18 30 32 -0.184347968678495
+7 0 1 0 0 18 31 32 -0.238592628090399
+7 0 1 0 0 18 32 32 -0.287720193736453
+7 0 1 0 0 18 33 32 -0.331223980383475
+7 0 1 0 0 18 34 32 -0.365862486984674
+7 0 1 0 0 18 35 32 -0.395783245658728
+7 0 1 0 0 18 36 32 -0.412277852514752
+7 0 1 0 0 18 37 32 -0.430385863933768
+7 0 1 0 0 18 38 32 -0.439607317966008
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0.425090445925606
+8 0 1 0 0 18 14 32 0.435669555012388
+8 0 1 0 0 18 15 32 0.443336228129676
+8 0 1 0 0 18 16 32 0.428737064647321
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+8 0 1 0 0 18 18 32 0.390354085525833
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+8 0 1 0 0 18 20 32 0.320402310311247
+8 0 1 0 0 18 21 32 0.275204898576193
+8 0 1 0 0 18 22 32 0.224310503006888
+8 0 1 0 0 18 23 32 0.168884709724328
+8 0 1 0 0 18 24 32 0.110017789592695
+8 0 1 0 0 18 25 32 0.0489121003650992
+8 0 1 0 0 18 26 32 -0.0131893344673971
+8 0 1 0 0 18 27 32 -0.0750222434806821
+8 0 1 0 0 18 28 32 -0.135326986584763
+8 0 1 0 0 18 29 32 -0.192876623763123
+8 0 1 0 0 18 30 32 -0.246466351417234
+8 0 1 0 0 18 31 32 -0.295057601082144
+8 0 1 0 0 18 32 32 -0.337139986913799
+8 0 1 0 0 18 33 32 -0.372884279674043
+8 0 1 0 0 18 34 32 -0.398233189311631
+8 0 1 0 0 18 35 32 -0.419203432106721
+8 0 1 0 0 18 36 32 -0.42673184640781
+8 0 1 0 0 18 37 32 -0.436429072866083
+8 0 1 0 0 18 38 32 -0.434895617881788
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -0.227324031986691
+8 0 0 0 0 18 2 32 -0.111767751151321
+8 0 0 0 0 18 4 32 0.0128683951627269
+8 0 0 0 0 18 6 32 0.136463206023583
+8 0 0 0 0 18 8 32 0.24899416852852
+8 0 0 0 0 18 10 32 0.341366184632937
+8 0 0 0 0 18 12 32 0.405670879799765
+8 0 0 0 0 18 14 32 0.435669555012388
+8 0 0 0 0 18 16 32 0.428737064647321
+8 0 0 0 0 18 18 32 0.390354085525833
+8 0 0 0 0 18 20 32 0.320402310311247
+8 0 0 0 0 18 22 32 0.224310503006888
+8 0 0 0 0 18 24 32 0.110017789592695
+8 0 0 0 0 18 26 32 -0.0131893344673971
+8 0 0 0 0 18 28 32 -0.135326986584763
+8 0 0 0 0 18 30 32 -0.246466351417234
+8 0 0 0 0 18 32 32 -0.337139986913799
+8 0 0 0 0 18 34 32 -0.398233189311631
+8 0 0 0 0 18 36 32 -0.42673184640781
+8 0 0 0 0 18 38 32 -0.434895617881788
+8 0 0 0 0 18 40 32 -0.394143849496128
+8 0 0 0 0 18 42 32 -0.324470937610271
+8 0 0 0 0 18 44 32 -0.227324031986691
+8 0 0 0 0 18 46 32 -0.111767751151321
+8 0 0 0 0 18 48 32 0.0128683951627269
+8 0 0 0 0 18 50 32 0.136463206023583
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0.437718669969378
+9 0 1 0 0 18 14 32 0.437665882921828
+9 0 1 0 0 18 15 32 0.435209660049868
+9 0 1 0 0 18 16 32 0.411070497006435
+9 0 1 0 0 18 17 32 0.391001771284541
+9 0 1 0 0 18 18 32 0.35373084040341
+9 0 1 0 0 18 19 32 0.3151679669379
+9 0 1 0 0 18 20 32 0.268006171502471
+9 0 1 0 0 18 21 32 0.21650082104702
+9 0 1 0 0 18 22 32 0.160368728057858
+9 0 1 0 0 18 23 32 0.101062021407294
+9 0 1 0 0 18 24 32 0.0396875154614991
+9 0 1 0 0 18 25 32 -0.0224915034671001
+9 0 1 0 0 18 26 32 -0.0842128421580136
+9 0 1 0 0 18 27 32 -0.144219734904869
+9 0 1 0 0 18 28 32 -0.201287307160511
+9 0 1 0 0 18 29 32 -0.254257964059169
+9 0 1 0 0 18 30 32 -0.301971439459077
+9 0 1 0 0 18 31 32 -0.343601428148075
+9 0 1 0 0 18 32 32 -0.377385685243571
+9 0 1 0 0 18 33 32 -0.404462534967002
+9 0 1 0 0 18 34 32 -0.419934247132362
+9 0 1 0 0 18 35 32 -0.431501950661958
+9 0 1 0 0 18 36 32 -0.430157548191606
+9 0 1 0 0 18 37 32 -0.429281157852681
+9 0 1 0 0 18 38 32 -0.418899016623652
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 0.438930604158999
+10 0 1 0 0 18 14 32 0.427816113133942
+10 0 1 0 0 18 15 32 0.415102629162932
+10 0 1 0 0 18 16 32 0.382333195066643
+10 0 1 0 0 18 17 32 0.353980122581242
+10 0 1 0 0 18 18 32 0.307591593319535
+10 0 1 0 0 18 19 32 0.262323789493016
+10 0 1 0 0 18 20 32 0.20835914460866
+10 0 1 0 0 18 21 32 0.151985185286709
+10 0 1 0 0 18 22 32 0.0920700241095905
+10 0 1 0 0 18 23 32 0.0304805129810755
+10 0 1 0 0 18 24 32 -0.0317586497379348
+10 0 1 0 0 18 25 32 -0.0933406546569724
+10 0 1 0 0 18 26 32 -0.153023211471979
+10 0 1 0 0 18 27 32 -0.209590304963046
+10 0 1 0 0 18 28 32 -0.261880617935109
+10 0 1 0 0 18 29 32 -0.308844899902218
+10 0 1 0 0 18 30 32 -0.34935224351093
+10 0 1 0 0 18 31 32 -0.382906723896929
+10 0 1 0 0 18 32 32 -0.407371128338891
+10 0 1 0 0 18 33 32 -0.425121728068288
+10 0 1 0 0 18 34 32 -0.430523399196168
+10 0 1 0 0 18 35 32 -0.43240369760093
+10 0 1 0 0 18 36 32 -0.42238642294478
+10 0 1 0 0 18 37 32 -0.412462646204866
+10 0 1 0 0 18 38 32 -0.39163312761766
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -0.0948908760352797
+10 0 0 0 0 18 2 32 0.0307809841557967
+10 0 0 0 0 18 4 32 0.154068747077625
+10 0 0 0 0 18 6 32 0.26487827266502
+10 0 0 0 0 18 8 32 0.354192063972392
+10 0 0 0 0 18 10 32 0.414738350037413
+10 0 0 0 0 18 12 32 0.440987359492691
+10 0 0 0 0 18 14 32 0.427816113133942
+10 0 0 0 0 18 16 32 0.382333195066643
+10 0 0 0 0 18 18 32 0.307591593319535
+10 0 0 0 0 18 20 32 0.20835914460866
+10 0 0 0 0 18 22 32 0.0920700241095905
+10 0 0 0 0 18 24 32 -0.0317586497379348
+10 0 0 0 0 18 26 32 -0.153023211471979
+10 0 0 0 0 18 28 32 -0.261880617935109
+10 0 0 0 0 18 30 32 -0.34935224351093
+10 0 0 0 0 18 32 32 -0.407371128338891
+10 0 0 0 0 18 34 32 -0.430523399196168
+10 0 0 0 0 18 36 32 -0.42238642294478
+10 0 0 0 0 18 38 32 -0.39163312761766
+10 0 0 0 0 18 40 32 -0.311461302709628
+10 0 0 0 0 18 42 32 -0.213069957022277
+10 0 0 0 0 18 44 32 -0.0948908760352797
+10 0 0 0 0 18 46 32 0.0307809841557967
+10 0 0 0 0 18 48 32 0.154068747077625
+10 0 0 0 0 18 50 32 0.26487827266502
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0.428158335932262
+11 0 1 0 0 18 14 32 0.406446263197578
+11 0 1 0 0 18 15 32 0.383498275440746
+11 0 1 0 0 18 16 32 0.343239421780191
+11 0 1 0 0 18 17 32 0.307262146800998
+11 0 1 0 0 18 18 32 0.253184834461429
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+11 0 1 0 0 18 22 32 0.0212457178326747
+11 0 1 0 0 18 23 32 -0.0409602895551381
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+11 0 1 0 0 18 25 32 -0.161732606824317
+11 0 1 0 0 18 26 32 -0.217772183483544
+11 0 1 0 0 18 27 32 -0.269377656199178
+11 0 1 0 0 18 28 32 -0.315473965892586
+11 0 1 0 0 18 29 32 -0.355166099652251
+11 0 1 0 0 18 30 32 -0.387313113614683
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+11 0 1 0 0 18 33 32 -0.434340736844266
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+11 0 1 0 0 18 36 32 -0.403667466905752
+11 0 1 0 0 18 37 32 -0.384024546738167
+11 0 1 0 0 18 38 32 -0.354721735543576
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0.405693112753016
+12 0 1 0 0 18 14 32 0.373447660596456
+12 0 1 0 0 18 15 32 0.34138362116385
+12 0 1 0 0 18 16 32 0.294792053218342
+12 0 1 0 0 18 17 32 0.251990353597329
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+12 0 1 0 0 18 26 32 -0.27672008817092
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+12 0 1 0 0 18 37 32 -0.346088845903062
+12 0 1 0 0 18 38 32 -0.307623578841477
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0.0485728822575301
+12 0 0 0 0 18 2 32 0.171055008248724
+12 0 0 0 0 18 4 32 0.280000570751382
+12 0 0 0 0 18 6 32 0.366254867833668
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+12 0 0 0 0 18 24 32 -0.170348861978894
+12 0 0 0 0 18 26 32 -0.27672008817092
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+12 0 0 0 0 18 34 32 -0.41797771271552
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+12 0 0 0 0 18 40 32 -0.194996641863038
+12 0 0 0 0 18 42 32 -0.0786186006879977
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+12 0 0 0 0 18 46 32 0.171055008248724
+12 0 0 0 0 18 48 32 0.280000570751382
+12 0 0 0 0 18 50 32 0.366254867833668
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.zl
new file mode 100644
index 000000000..1d289e733
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vy.zl
@@ -0,0 +1,782 @@
+# HYDROTOY::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -0.434281208026084
+0 0 1 0 0 18 24 18 -0.424791121674492
+0 0 1 0 0 18 24 19 -0.39673562493177
+0 0 1 0 0 18 24 20 -0.351340877630783
+0 0 1 0 0 18 24 21 -0.29059084805675
+0 0 1 0 0 18 24 22 -0.217140604013041
+0 0 1 0 0 18 24 23 -0.134200273617741
+0 0 1 0 0 18 24 24 -0.0453947473009859
+0 0 1 0 0 18 24 25 0.0453947473009874
+0 0 1 0 0 18 24 26 0.134200273617742
+0 0 1 0 0 18 24 27 0.217140604013042
+0 0 1 0 0 18 24 28 0.290590848056751
+0 0 1 0 0 18 24 29 0.351340877630784
+0 0 1 0 0 18 24 30 0.39673562493177
+0 0 1 0 0 18 24 31 0.424791121674493
+0 0 1 0 0 18 24 32 0.434281208026084
+0 0 1 0 0 18 24 33 0.424791121674493
+0 0 1 0 0 18 24 34 0.39673562493177
+0 0 1 0 0 18 24 35 0.351340877630784
+0 0 1 0 0 18 24 36 0.290590848056751
+0 0 1 0 0 18 24 37 0.217140604013042
+0 0 1 0 0 18 24 38 0.134200273617742
+0 0 1 0 0 18 24 39 0.0453947473009874
+0 0 1 0 0 18 24 40 -0.045394747300986
+0 0 1 0 0 18 24 41 -0.134200273617741
+0 0 1 0 0 18 24 42 -0.217140604013041
+0 0 1 0 0 18 24 43 -0.29059084805675
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+0 0 1 0 0 18 24 45 -0.39673562493177
+0 0 1 0 0 18 24 46 -0.424791121674492
+0 0 1 0 0 18 24 47 -0.434281208026084
+0 0 1 0 0 18 24 48 -0.424791121674493
+0 0 1 0 0 18 24 49 -0.396735624931771
+0 0 1 0 0 18 24 50 -0.351340877630785
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 0.396735624931772
+0 0 0 0 0 18 24 2 0.434281208026084
+0 0 0 0 0 18 24 4 0.396735624931769
+0 0 0 0 0 18 24 6 0.290590848056749
+0 0 0 0 0 18 24 8 0.134200273617739
+0 0 0 0 0 18 24 10 -0.0453947473009889
+0 0 0 0 0 18 24 12 -0.217140604013044
+0 0 0 0 0 18 24 14 -0.351340877630785
+0 0 0 0 0 18 24 16 -0.424791121674493
+0 0 0 0 0 18 24 18 -0.424791121674492
+0 0 0 0 0 18 24 20 -0.351340877630783
+0 0 0 0 0 18 24 22 -0.217140604013041
+0 0 0 0 0 18 24 24 -0.0453947473009859
+0 0 0 0 0 18 24 26 0.134200273617742
+0 0 0 0 0 18 24 28 0.290590848056751
+0 0 0 0 0 18 24 30 0.39673562493177
+0 0 0 0 0 18 24 32 0.434281208026084
+0 0 0 0 0 18 24 34 0.39673562493177
+0 0 0 0 0 18 24 36 0.290590848056751
+0 0 0 0 0 18 24 38 0.134200273617742
+0 0 0 0 0 18 24 40 -0.045394747300986
+0 0 0 0 0 18 24 42 -0.217140604013041
+0 0 0 0 0 18 24 44 -0.351340877630783
+0 0 0 0 0 18 24 46 -0.424791121674492
+0 0 0 0 0 18 24 48 -0.424791121674493
+0 0 0 0 0 18 24 50 -0.351340877630785
+0 0 0 0 0 18 24 52 -0.217140604013044
+0 0 0 0 0 18 24 54 -0.0453947473009889
+0 0 0 0 0 18 24 56 0.134200273617739
+0 0 0 0 0 18 24 58 0.290590848056749
+0 0 0 0 0 18 24 60 0.396735624931769
+0 0 0 0 0 18 24 62 0.434281208026084
+0 0 0 0 0 18 24 64 0.396735624931772
+0 0 0 0 0 18 24 66 0.290590848056754
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -0.428426257976849
+1 0 1 0 0 18 24 18 -0.40473471039475
+1 0 1 0 0 18 24 19 -0.362484591883325
+1 0 1 0 0 18 24 20 -0.304814318079276
+1 0 1 0 0 18 24 21 -0.233822195913784
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+1 0 1 0 0 18 24 24 0.0259802893153777
+1 0 1 0 0 18 24 25 0.115554933383201
+1 0 1 0 0 18 24 26 0.200079272368088
+1 0 1 0 0 18 24 27 0.275859187063621
+1 0 1 0 0 18 24 28 0.33958273156523
+1 0 1 0 0 18 24 29 0.388464881198702
+1 0 1 0 0 18 24 30 0.420369251462477
+1 0 1 0 0 18 24 31 0.433901468281873
+1 0 1 0 0 18 24 32 0.428470108847102
+1 0 1 0 0 18 24 33 0.404312549628018
+1 0 1 0 0 18 24 34 0.362484591883325
+1 0 1 0 0 18 24 35 0.304814318079277
+1 0 1 0 0 18 24 36 0.233822195913786
+1 0 1 0 0 18 24 37 0.152610921783482
+1 0 1 0 0 18 24 38 0.0647298180627892
+1 0 1 0 0 18 24 39 -0.0259802893153762
+1 0 1 0 0 18 24 40 -0.1155549333832
+1 0 1 0 0 18 24 41 -0.200079272368087
+1 0 1 0 0 18 24 42 -0.27585918706362
+1 0 1 0 0 18 24 43 -0.339582731565229
+1 0 1 0 0 18 24 44 -0.388464881198701
+1 0 1 0 0 18 24 45 -0.420369251462477
+1 0 1 0 0 18 24 46 -0.433901468281873
+1 0 1 0 0 18 24 47 -0.428470108847103
+1 0 1 0 0 18 24 48 -0.404312549628019
+1 0 1 0 0 18 24 49 -0.36279129967605
+1 0 1 0 0 18 24 50 -0.305497195362384
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -0.411432597097011
+2 0 1 0 0 18 24 18 -0.373440430911314
+2 0 1 0 0 18 24 19 -0.318410245310168
+2 0 1 0 0 18 24 20 -0.250069768711064
+2 0 1 0 0 18 24 21 -0.170739328016711
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+2 0 1 0 0 18 24 23 0.00650278232492314
+2 0 1 0 0 18 24 24 0.0966742057689954
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+2 0 1 0 0 18 24 27 0.327161478786347
+2 0 1 0 0 18 24 28 0.379439024041274
+2 0 1 0 0 18 24 29 0.415133263195151
+2 0 1 0 0 18 24 30 0.432684186716991
+2 0 1 0 0 18 24 31 0.431324735030215
+2 0 1 0 0 18 24 32 0.411114322696907
+2 0 1 0 0 18 24 33 0.372936241716352
+2 0 1 0 0 18 24 34 0.318459057426157
+2 0 1 0 0 18 24 35 0.250063684190337
+2 0 1 0 0 18 24 36 0.170739328016712
+2 0 1 0 0 18 24 37 0.0839528439105615
+2 0 1 0 0 18 24 38 -0.00650278232492144
+2 0 1 0 0 18 24 39 -0.0966742057689939
+2 0 1 0 0 18 24 40 -0.182620502526654
+2 0 1 0 0 18 24 41 -0.260585407013503
+2 0 1 0 0 18 24 42 -0.327161478786346
+2 0 1 0 0 18 24 43 -0.379439024041273
+2 0 1 0 0 18 24 44 -0.415133263195151
+2 0 1 0 0 18 24 45 -0.432684186716991
+2 0 1 0 0 18 24 46 -0.431324735030215
+2 0 1 0 0 18 24 47 -0.411123436804305
+2 0 1 0 0 18 24 48 -0.373000606906459
+2 0 1 0 0 18 24 49 -0.318607644290521
+2 0 1 0 0 18 24 50 -0.250293695555629
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 0.433425313359762
+2 0 0 0 0 18 24 2 0.411725364080886
+2 0 0 0 0 18 24 4 0.318834358944915
+2 0 0 0 0 18 24 6 0.17081399662815
+2 0 0 0 0 18 24 8 -0.00674165750206535
+2 0 0 0 0 18 24 10 -0.183131617804137
+2 0 0 0 0 18 24 12 -0.327856457689355
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+2 0 0 0 0 18 24 64 0.318834358944915
+2 0 0 0 0 18 24 66 0.17081399662815
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -0.38370528771977
+3 0 1 0 0 18 24 18 -0.332765198746708
+3 0 1 0 0 18 24 19 -0.265690626503576
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+3 0 1 0 0 18 24 50 -0.189613039192801
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -0.34497838292978
+4 0 1 0 0 18 24 18 -0.282090042060091
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+4 0 1 0 0 18 24 50 -0.122161005946473
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 0.424083834070079
+4 0 0 0 0 18 24 2 0.345214503330213
+4 0 0 0 0 18 24 4 0.206654448789242
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+4 0 0 0 0 18 24 64 0.206654448789242
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+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -0.297835430850524
+5 0 1 0 0 18 24 18 -0.224986563670818
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+5 0 1 0 0 18 24 50 -0.0529361647451661
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -0.241434864753629
+6 0 1 0 0 18 24 18 -0.16026422930577
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+6 0 1 0 0 18 24 50 0.0197276740539611
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 0.369572773464889
+6 0 0 0 0 18 24 2 0.2416293378105
+6 0 0 0 0 18 24 4 0.0719059945150494
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+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -0.179799555176589
+7 0 1 0 0 18 24 18 -0.0927358208148487
+7 0 1 0 0 18 24 19 0.000918013358135801
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+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -0.111642209575197
+8 0 1 0 0 18 24 18 -0.0207970775814205
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+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 0.275507386750357
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+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -0.0420118327899738
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+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 0.0306995628126665
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+10 0 1 0 0 18 24 35 -0.281376759109889
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+10 0 1 0 0 18 24 37 -0.3925957437071
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+10 0 1 0 0 18 24 39 -0.435931470229859
+10 0 1 0 0 18 24 40 -0.429292271113105
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+10 0 1 0 0 18 24 49 0.206776932684423
+10 0 1 0 0 18 24 50 0.28569639010704
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 0.151678426057518
+10 0 0 0 0 18 24 2 -0.0307769093537872
+10 0 0 0 0 18 24 4 -0.207910640418311
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+10 0 0 0 0 18 24 20 0.279394111704824
+10 0 0 0 0 18 24 22 0.392097948857059
+10 0 0 0 0 18 24 24 0.435875085718016
+10 0 0 0 0 18 24 26 0.403887215901777
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+10 0 0 0 0 18 24 30 0.147915188698889
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+10 0 0 0 0 18 24 38 -0.423518226609332
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+10 0 0 0 0 18 24 42 -0.360849703695886
+10 0 0 0 0 18 24 44 -0.230154190344366
+10 0 0 0 0 18 24 46 -0.0603693742608596
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+10 0 0 0 0 18 24 50 0.28569639010704
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+10 0 0 0 0 18 24 64 -0.207910640418311
+10 0 0 0 0 18 24 66 -0.349094732150387
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 0.100944489603337
+11 0 1 0 0 18 24 18 0.188103487855299
+11 0 1 0 0 18 24 19 0.268671171153744
+11 0 1 0 0 18 24 20 0.329838034097623
+11 0 1 0 0 18 24 21 0.384884520393959
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+11 0 1 0 0 18 24 23 0.435340342403575
+11 0 1 0 0 18 24 24 0.432504874748119
+11 0 1 0 0 18 24 25 0.411229558975377
+11 0 1 0 0 18 24 26 0.371818668815861
+11 0 1 0 0 18 24 27 0.316197974225357
+11 0 1 0 0 18 24 28 0.246746438904833
+11 0 1 0 0 18 24 29 0.16651332813153
+11 0 1 0 0 18 24 30 0.0790020370289667
+11 0 1 0 0 18 24 31 -0.0119618633059219
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+11 0 1 0 0 18 24 33 -0.188368707617125
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+11 0 1 0 0 18 24 37 -0.418599838877244
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+11 0 1 0 0 18 24 39 -0.432615472804281
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+11 0 1 0 0 18 24 41 -0.371837672276706
+11 0 1 0 0 18 24 42 -0.316225207189004
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+11 0 1 0 0 18 24 45 -0.0799136207880259
+11 0 1 0 0 18 24 46 0.0106342325966569
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+11 0 1 0 0 18 24 48 0.185725313899081
+11 0 1 0 0 18 24 49 0.266709104174895
+11 0 1 0 0 18 24 50 0.337392016313755
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 0.170491329557764
+12 0 1 0 0 18 24 18 0.251607463542072
+12 0 1 0 0 18 24 19 0.322007962905353
+12 0 1 0 0 18 24 20 0.37146886958297
+12 0 1 0 0 18 24 21 0.414200432262054
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+12 0 1 0 0 18 24 39 -0.417690191016704
+12 0 1 0 0 18 24 40 -0.382078893489807
+12 0 1 0 0 18 24 41 -0.329788679260115
+12 0 1 0 0 18 24 42 -0.263098473200439
+12 0 1 0 0 18 24 43 -0.185064559979213
+12 0 1 0 0 18 24 44 -0.0989683830179611
+12 0 1 0 0 18 24 45 -0.00918424672675068
+12 0 1 0 0 18 24 46 0.0813671416066964
+12 0 1 0 0 18 24 47 0.16734154911019
+12 0 1 0 0 18 24 48 0.247664114122293
+12 0 1 0 0 18 24 49 0.321740576796496
+12 0 1 0 0 18 24 50 0.38185012499154
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 0.0110331633664226
+12 0 0 0 0 18 24 2 -0.171045926354511
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+12 0 0 0 0 18 24 64 -0.323549724262519
+12 0 0 0 0 18 24 66 -0.420108814412136
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.xl
new file mode 100644
index 000000000..6921752ec
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.xl
@@ -0,0 +1,482 @@
+# HYDROTOY::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -0.196827067972686
+0 0 1 0 0 10 24 32 -0.0665789627081124
+0 0 1 0 0 11 24 32 0.0665789627081145
+0 0 1 0 0 12 24 32 0.196827067972688
+0 0 1 0 0 13 24 32 0.318472885885794
+0 0 1 0 0 14 24 32 0.426199910483233
+0 0 1 0 0 15 24 32 0.515299953858481
+0 0 1 0 0 16 24 32 0.581878916566594
+0 0 1 0 0 17 24 32 0.62302697845592
+0 0 1 0 0 18 24 32 0.636945771771587
+0 0 1 0 0 19 24 32 0.62302697845592
+0 0 1 0 0 20 24 32 0.581878916566594
+0 0 1 0 0 21 24 32 0.515299953858481
+0 0 1 0 0 22 24 32 0.426199910483233
+0 0 1 0 0 23 24 32 0.318472885885794
+0 0 1 0 0 24 24 32 0.196827067972688
+0 0 1 0 0 25 24 32 0.0665789627081145
+0 0 1 0 0 26 24 32 -0.0665789627081126
+0 0 1 0 0 27 24 32 -0.196827067972686
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -0.515299953858482
+0 0 0 0 0 2 24 32 -0.62302697845592
+0 0 0 0 0 4 24 32 -0.62302697845592
+0 0 0 0 0 6 24 32 -0.51529995385848
+0 0 0 0 0 8 24 32 -0.318472885885792
+0 0 0 0 0 10 24 32 -0.0665789627081124
+0 0 0 0 0 12 24 32 0.196827067972688
+0 0 0 0 0 14 24 32 0.426199910483233
+0 0 0 0 0 16 24 32 0.581878916566594
+0 0 0 0 0 18 24 32 0.636945771771587
+0 0 0 0 0 20 24 32 0.581878916566594
+0 0 0 0 0 22 24 32 0.426199910483233
+0 0 0 0 0 24 24 32 0.196827067972688
+0 0 0 0 0 26 24 32 -0.0665789627081126
+0 0 0 0 0 28 24 32 -0.318472885885792
+0 0 0 0 0 30 24 32 -0.51529995385848
+0 0 0 0 0 32 24 32 -0.62302697845592
+0 0 0 0 0 34 24 32 -0.62302697845592
+0 0 0 0 0 36 24 32 -0.515299953858482
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -0.0973195350500494
+1 0 1 0 0 10 24 32 0.0356668155049764
+1 0 1 0 0 11 24 32 0.169077922714169
+1 0 1 0 0 12 24 32 0.293071522772708
+1 0 1 0 0 13 24 32 0.404256490972886
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+1 0 1 0 0 16 24 32 0.616405936459762
+1 0 1 0 0 17 24 32 0.636336536264916
+1 0 1 0 0 18 24 32 0.628456175953815
+1 0 1 0 0 19 24 32 0.593109265086217
+1 0 1 0 0 20 24 32 0.531840633280333
+1 0 1 0 0 21 24 32 0.447328013745593
+1 0 1 0 0 22 24 32 0.343265013492209
+1 0 1 0 0 23 24 32 0.22419968498093
+1 0 1 0 0 24 24 32 0.0953357544065353
+1 0 1 0 0 25 24 32 -0.0376948061071308
+1 0 1 0 0 26 24 32 -0.167163605655932
+1 0 1 0 0 27 24 32 -0.291147369612687
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0.00664574421749242
+2 0 1 0 0 10 24 32 0.139079131940516
+2 0 1 0 0 11 24 32 0.267168672263801
+2 0 1 0 0 12 24 32 0.381444723732171
+2 0 1 0 0 13 24 32 0.479205430551592
+2 0 1 0 0 14 24 32 0.556000672787044
+2 0 1 0 0 15 24 32 0.608496017634465
+2 0 1 0 0 16 24 32 0.634397166623412
+2 0 1 0 0 17 24 32 0.632572115255564
+2 0 1 0 0 18 24 32 0.603100627033265
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+2 0 1 0 0 20 24 32 0.467522510031876
+2 0 1 0 0 21 24 32 0.367341295541732
+2 0 1 0 0 22 24 32 0.251105503737309
+2 0 1 0 0 23 24 32 0.123895196481674
+2 0 1 0 0 24 24 32 -0.00870905206088087
+2 0 1 0 0 25 24 32 -0.140871868994753
+2 0 1 0 0 26 24 32 -0.265429365246958
+2 0 1 0 0 27 24 32 -0.379908726375628
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -0.608492170320791
+2 0 0 0 0 2 24 32 -0.633457407715208
+2 0 0 0 0 4 24 32 -0.548892104535778
+2 0 0 0 0 6 24 32 -0.369418369953888
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+2 0 0 0 0 14 24 32 0.556000672787044
+2 0 0 0 0 16 24 32 0.634397166623412
+2 0 0 0 0 18 24 32 0.603100627033265
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+2 0 0 0 0 22 24 32 0.251105503737309
+2 0 0 0 0 24 24 32 -0.00870905206088087
+2 0 0 0 0 26 24 32 -0.265429365246958
+2 0 0 0 0 28 24 32 -0.478313108700085
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+2 0 0 0 0 34 24 32 -0.548892104535778
+2 0 0 0 0 36 24 32 -0.369418369953888
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0.108142390498424
+3 0 1 0 0 10 24 32 0.236597711331569
+3 0 1 0 0 11 24 32 0.358190960248211
+3 0 1 0 0 12 24 32 0.459530017170409
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+3 0 1 0 0 20 24 32 0.390649264887917
+3 0 1 0 0 21 24 32 0.277485699319131
+3 0 1 0 0 22 24 32 0.15219532945706
+3 0 1 0 0 23 24 32 0.0202584958936478
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+3 0 1 0 0 25 24 32 -0.240209113822161
+3 0 1 0 0 26 24 32 -0.354596862110213
+3 0 1 0 0 27 24 32 -0.456605982742896
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0.209684057502675
+4 0 1 0 0 10 24 32 0.330575978767116
+4 0 1 0 0 11 24 32 0.43966045342348
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+4 0 1 0 0 18 24 32 0.504938202020884
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+4 0 1 0 0 20 24 32 0.303283110069099
+4 0 1 0 0 21 24 32 0.180172840619504
+4 0 1 0 0 22 24 32 0.0491938283669557
+4 0 1 0 0 23 24 32 -0.083917154077511
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+4 0 1 0 0 25 24 32 -0.33310147099143
+4 0 1 0 0 26 24 32 -0.436925889369356
+4 0 1 0 0 27 24 32 -0.523618193410413
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -0.638086200378305
+4 0 0 0 0 2 24 32 -0.577480248216561
+4 0 0 0 0 4 24 32 -0.417022714894814
+4 0 0 0 0 6 24 32 -0.184458165635327
+4 0 0 0 0 8 24 32 0.0800008762123353
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+4 0 0 0 0 18 24 32 0.504938202020884
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+4 0 0 0 0 26 24 32 -0.436925889369356
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+4 0 0 0 0 34 24 32 -0.417022714894814
+4 0 0 0 0 36 24 32 -0.184458165635327
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0.303082309664818
+5 0 1 0 0 10 24 32 0.413389684295974
+5 0 1 0 0 11 24 32 0.509362344146697
+5 0 1 0 0 12 24 32 0.576702925630077
+5 0 1 0 0 13 24 32 0.620756348793825
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+5 0 1 0 0 17 24 32 0.522080276166261
+5 0 1 0 0 18 24 32 0.434761908683474
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+5 0 1 0 0 21 24 32 0.0780160153709451
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+5 0 1 0 0 26 24 32 -0.505656537173603
+5 0 1 0 0 27 24 32 -0.57496975103022
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0.391102792978988
+6 0 1 0 0 10 24 32 0.487580244568536
+6 0 1 0 0 11 24 32 0.565372932792225
+6 0 1 0 0 12 24 32 0.612653871445795
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+6 0 1 0 0 17 24 32 0.455473847574355
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+6 0 1 0 0 19 24 32 0.234923222872477
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+6 0 1 0 0 22 24 32 -0.157948266019095
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+6 0 1 0 0 26 24 32 -0.563042108806548
+6 0 1 0 0 27 24 32 -0.612804318655308
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -0.600802501898698
+6 0 0 0 0 2 24 32 -0.460809125595699
+6 0 0 0 0 4 24 32 -0.241138371155451
+6 0 0 0 0 6 24 32 0.0202258026743178
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+6 0 0 0 0 32 24 32 -0.460809125595699
+6 0 0 0 0 34 24 32 -0.241138371155451
+6 0 0 0 0 36 24 32 0.0202258026743178
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0.466482568395671
+7 0 1 0 0 10 24 32 0.546858922731238
+7 0 1 0 0 11 24 32 0.606181949952299
+7 0 1 0 0 12 24 32 0.632129566522523
+7 0 1 0 0 13 24 32 0.634174208081466
+7 0 1 0 0 14 24 32 0.606544264206907
+7 0 1 0 0 15 24 32 0.553083859680135
+7 0 1 0 0 16 24 32 0.475223644441572
+7 0 1 0 0 17 24 32 0.376636775120934
+7 0 1 0 0 18 24 32 0.261579505479243
+7 0 1 0 0 19 24 32 0.135091451268939
+7 0 1 0 0 20 24 32 0.00270517132817995
+7 0 1 0 0 21 24 32 -0.129789829150419
+7 0 1 0 0 22 24 32 -0.256504107970036
+7 0 1 0 0 23 24 32 -0.372016882167676
+7 0 1 0 0 24 24 32 -0.47074148576341
+7 0 1 0 0 25 24 32 -0.549950294132442
+7 0 1 0 0 26 24 32 -0.604104412882454
+7 0 1 0 0 27 24 32 -0.633352617747386
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0.531605213014809
+8 0 1 0 0 10 24 32 0.593321964401933
+8 0 1 0 0 11 24 32 0.630647867942192
+8 0 1 0 0 12 24 32 0.634647178434357
+8 0 1 0 0 13 24 32 0.61538482488865
+8 0 1 0 0 14 24 32 0.566523104221862
+8 0 1 0 0 15 24 32 0.494055997199531
+8 0 1 0 0 16 24 32 0.399547983291237
+8 0 1 0 0 17 24 32 0.287684996142527
+8 0 1 0 0 18 24 32 0.163220390236194
+8 0 1 0 0 19 24 32 0.0316277526597565
+8 0 1 0 0 20 24 32 -0.10133183289413
+8 0 1 0 0 21 24 32 -0.229849552269945
+8 0 1 0 0 22 24 32 -0.348140258182714
+8 0 1 0 0 23 24 32 -0.451327597204151
+8 0 1 0 0 24 24 32 -0.53424244760498
+8 0 1 0 0 25 24 32 -0.595366082536821
+8 0 1 0 0 26 24 32 -0.630502846529901
+8 0 1 0 0 27 24 32 -0.637960746208245
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -0.500393216101181
+8 0 0 0 0 2 24 32 -0.295556213449106
+8 0 0 0 0 4 24 32 -0.0396264340240035
+8 0 0 0 0 6 24 32 0.223141542406939
+8 0 0 0 0 8 24 32 0.447151139864875
+8 0 0 0 0 10 24 32 0.593321964401933
+8 0 0 0 0 12 24 32 0.634647178434357
+8 0 0 0 0 14 24 32 0.566523104221862
+8 0 0 0 0 16 24 32 0.399547983291237
+8 0 0 0 0 18 24 32 0.163220390236194
+8 0 0 0 0 20 24 32 -0.10133183289413
+8 0 0 0 0 22 24 32 -0.348140258182714
+8 0 0 0 0 24 24 32 -0.53424244760498
+8 0 0 0 0 26 24 32 -0.630502846529901
+8 0 0 0 0 28 24 32 -0.618563756831048
+8 0 0 0 0 30 24 32 -0.500393216101181
+8 0 0 0 0 32 24 32 -0.295556213449106
+8 0 0 0 0 34 24 32 -0.0396264340240035
+8 0 0 0 0 36 24 32 0.223141542406939
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0.580904793254439
+9 0 1 0 0 10 24 32 0.622710754030206
+9 0 1 0 0 11 24 32 0.638135278818578
+9 0 1 0 0 12 24 32 0.620192205514737
+9 0 1 0 0 13 24 32 0.580096956183032
+9 0 1 0 0 14 24 32 0.511231359810404
+9 0 1 0 0 15 24 32 0.421784210634129
+9 0 1 0 0 16 24 32 0.313124346438357
+9 0 1 0 0 17 24 32 0.191007364748957
+9 0 1 0 0 18 24 32 0.0604730478656601
+9 0 1 0 0 19 24 32 -0.072688449342991
+9 0 1 0 0 20 24 32 -0.202640847341122
+9 0 1 0 0 21 24 32 -0.323727646238973
+9 0 1 0 0 22 24 32 -0.430400363491228
+9 0 1 0 0 23 24 32 -0.518558914204221
+9 0 1 0 0 24 24 32 -0.583565649417711
+9 0 1 0 0 25 24 32 -0.625054546771263
+9 0 1 0 0 26 24 32 -0.639536480246274
+9 0 1 0 0 27 24 32 -0.625437314256492
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0.616142890811681
+10 0 1 0 0 10 24 32 0.636444830132863
+10 0 1 0 0 11 24 32 0.628408102604202
+10 0 1 0 0 12 24 32 0.589189311701501
+10 0 1 0 0 13 24 32 0.529234501037334
+10 0 1 0 0 14 24 32 0.442159324812253
+10 0 1 0 0 15 24 32 0.338212473416978
+10 0 1 0 0 16 24 32 0.218262912911995
+10 0 1 0 0 17 24 32 0.0892018078026405
+10 0 1 0 0 18 24 32 -0.0439043350060397
+10 0 1 0 0 19 24 32 -0.175053515494255
+10 0 1 0 0 20 24 32 -0.298494613742868
+10 0 1 0 0 21 24 32 -0.408902797813916
+10 0 1 0 0 22 24 32 -0.501093897650748
+10 0 1 0 0 23 24 32 -0.571950360605817
+10 0 1 0 0 24 24 32 -0.617443675536819
+10 0 1 0 0 25 24 32 -0.638273374272176
+10 0 1 0 0 26 24 32 -0.632105623865777
+10 0 1 0 0 27 24 32 -0.596210120325425
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -0.347273268709351
+10 0 0 0 0 2 24 32 -0.0989718437765133
+10 0 0 0 0 4 24 32 0.166374002117897
+10 0 0 0 0 6 24 32 0.4029056585467
+10 0 0 0 0 8 24 32 0.569287163761568
+10 0 0 0 0 10 24 32 0.636444830132863
+10 0 0 0 0 12 24 32 0.589189311701501
+10 0 0 0 0 14 24 32 0.442159324812253
+10 0 0 0 0 16 24 32 0.218262912911995
+10 0 0 0 0 18 24 32 -0.0439043350060397
+10 0 0 0 0 20 24 32 -0.298494613742868
+10 0 0 0 0 22 24 32 -0.501093897650748
+10 0 0 0 0 24 24 32 -0.617443675536819
+10 0 0 0 0 26 24 32 -0.632105623865777
+10 0 0 0 0 28 24 32 -0.535029309203674
+10 0 0 0 0 30 24 32 -0.347273268709351
+10 0 0 0 0 32 24 32 -0.0989718437765133
+10 0 0 0 0 34 24 32 0.166374002117897
+10 0 0 0 0 36 24 32 0.4029056585467
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0.634050914486693
+11 0 1 0 0 10 24 32 0.632766824918312
+11 0 1 0 0 11 24 32 0.601766991565833
+11 0 1 0 0 12 24 32 0.542508633056707
+11 0 1 0 0 13 24 32 0.464136672731424
+11 0 1 0 0 14 24 32 0.361180041079272
+11 0 1 0 0 15 24 32 0.245584849025748
+11 0 1 0 0 16 24 32 0.117500879347642
+11 0 1 0 0 17 24 32 -0.0149943956941395
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+11 0 1 0 0 19 24 32 -0.272715104462493
+11 0 1 0 0 20 24 32 -0.386313649383673
+11 0 1 0 0 21 24 32 -0.483093923207431
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+11 0 1 0 0 24 24 32 -0.635021560425915
+11 0 1 0 0 25 24 32 -0.634634824413432
+11 0 1 0 0 26 24 32 -0.608055347920242
+11 0 1 0 0 27 24 32 -0.551785467064353
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 0.635583925480137
+12 0 1 0 0 10 24 32 0.612262527650417
+12 0 1 0 0 11 24 32 0.55889552164607
+12 0 1 0 0 12 24 32 0.481411404512508
+12 0 1 0 0 13 24 32 0.386526055581626
+12 0 1 0 0 14 24 32 0.270498093765112
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+12 0 1 0 0 16 24 32 0.0135367498575325
+12 0 1 0 0 17 24 32 -0.118778508008737
+12 0 1 0 0 18 24 32 -0.246372589803212
+12 0 1 0 0 19 24 32 -0.363046805304548
+12 0 1 0 0 20 24 32 -0.463738538446569
+12 0 1 0 0 21 24 32 -0.544323712658958
+12 0 1 0 0 22 24 32 -0.600695090266839
+12 0 1 0 0 23 24 32 -0.632092366414694
+12 0 1 0 0 24 24 32 -0.635844838198097
+12 0 1 0 0 25 24 32 -0.61424978657806
+12 0 1 0 0 26 24 32 -0.567437295565724
+12 0 1 0 0 27 24 32 -0.49163580896888
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -0.157443899720067
+12 0 0 0 0 2 24 32 0.10836058822876
+12 0 0 0 0 4 24 32 0.355180324230772
+12 0 0 0 0 6 24 32 0.540491970102877
+12 0 0 0 0 8 24 32 0.631378746005083
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+12 0 0 0 0 12 24 32 0.481411404512508
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+12 0 0 0 0 16 24 32 0.0135367498575325
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+12 0 0 0 0 20 24 32 -0.463738538446569
+12 0 0 0 0 22 24 32 -0.600695090266839
+12 0 0 0 0 24 24 32 -0.635844838198097
+12 0 0 0 0 26 24 32 -0.567437295565724
+12 0 0 0 0 28 24 32 -0.394800740143835
+12 0 0 0 0 30 24 32 -0.157443899720067
+12 0 0 0 0 32 24 32 0.10836058822876
+12 0 0 0 0 34 24 32 0.355180324230772
+12 0 0 0 0 36 24 32 0.540491970102877
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.yl
new file mode 100644
index 000000000..3e16c209f
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.yl
@@ -0,0 +1,622 @@
+# HYDROTOY::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -2.93103742532793e-15
+0 0 1 0 0 18 14 32 0.0906468344985235
+0 0 1 0 0 18 15 32 0.179448360850545
+0 0 1 0 0 18 16 32 0.264596836061988
+0 0 1 0 0 18 17 32 0.344358882725476
+0 0 1 0 0 18 18 32 0.417110775585686
+0 0 1 0 0 18 19 32 0.481371495903121
+0 0 1 0 0 18 20 32 0.53583288072473
+0 0 1 0 0 18 21 32 0.579386253309212
+0 0 1 0 0 18 22 32 0.611144992588301
+0 0 1 0 0 18 23 32 0.630462582214916
+0 0 1 0 0 18 24 32 0.636945771771587
+0 0 1 0 0 18 25 32 0.630462582214916
+0 0 1 0 0 18 26 32 0.611144992588301
+0 0 1 0 0 18 27 32 0.579386253309212
+0 0 1 0 0 18 28 32 0.53583288072473
+0 0 1 0 0 18 29 32 0.48137149590312
+0 0 1 0 0 18 30 32 0.417110775585686
+0 0 1 0 0 18 31 32 0.344358882725476
+0 0 1 0 0 18 32 32 0.264596836061988
+0 0 1 0 0 18 33 32 0.179448360850545
+0 0 1 0 0 18 34 32 0.0906468344985234
+0 0 1 0 0 18 35 32 -3.07246779757962e-15
+0 0 1 0 0 18 36 32 -0.0906468344985296
+0 0 1 0 0 18 37 32 -0.17944836085055
+0 0 1 0 0 18 38 32 -0.264596836061994
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -0.611144992588299
+0 0 0 0 0 18 2 32 -0.636945771771587
+0 0 0 0 0 18 4 32 -0.611144992588303
+0 0 0 0 0 18 6 32 -0.535832880724733
+0 0 0 0 0 18 8 32 -0.417110775585691
+0 0 0 0 0 18 10 32 -0.264596836061994
+0 0 0 0 0 18 12 32 -0.0906468344985295
+0 0 0 0 0 18 14 32 0.0906468344985235
+0 0 0 0 0 18 16 32 0.264596836061988
+0 0 0 0 0 18 18 32 0.417110775585686
+0 0 0 0 0 18 20 32 0.53583288072473
+0 0 0 0 0 18 22 32 0.611144992588301
+0 0 0 0 0 18 24 32 0.636945771771587
+0 0 0 0 0 18 26 32 0.611144992588301
+0 0 0 0 0 18 28 32 0.53583288072473
+0 0 0 0 0 18 30 32 0.417110775585686
+0 0 0 0 0 18 32 32 0.264596836061988
+0 0 0 0 0 18 34 32 0.0906468344985234
+0 0 0 0 0 18 36 32 -0.0906468344985296
+0 0 0 0 0 18 38 32 -0.264596836061994
+0 0 0 0 0 18 40 32 -0.417110775585691
+0 0 0 0 0 18 42 32 -0.535832880724734
+0 0 0 0 0 18 44 32 -0.611144992588303
+0 0 0 0 0 18 46 32 -0.636945771771587
+0 0 0 0 0 18 48 32 -0.611144992588299
+0 0 0 0 0 18 50 32 -0.535832880724727
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0.101958040479921
+1 0 1 0 0 18 14 32 0.19045190926366
+1 0 1 0 0 18 15 32 0.276801468550229
+1 0 1 0 0 18 16 32 0.355631693593013
+1 0 1 0 0 18 17 32 0.42722228291136
+1 0 1 0 0 18 18 32 0.490115858556959
+1 0 1 0 0 18 19 32 0.543032088699761
+1 0 1 0 0 18 20 32 0.584893751491865
+1 0 1 0 0 18 21 32 0.614848664197891
+1 0 1 0 0 18 22 32 0.632287031177978
+1 0 1 0 0 18 23 32 0.63685385756851
+1 0 1 0 0 18 24 32 0.628456175953815
+1 0 1 0 0 18 25 32 0.607264938914655
+1 0 1 0 0 18 26 32 0.573711538926666
+1 0 1 0 0 18 27 32 0.528479026453587
+1 0 1 0 0 18 28 32 0.472488205009576
+1 0 1 0 0 18 29 32 0.406878886255038
+1 0 1 0 0 18 30 32 0.332986686718163
+1 0 1 0 0 18 31 32 0.252315838494016
+1 0 1 0 0 18 32 32 0.166508567416923
+1 0 1 0 0 18 33 32 0.0773116620782785
+1 0 1 0 0 18 34 32 -0.0134590857518569
+1 0 1 0 0 18 35 32 -0.103955845408883
+1 0 1 0 0 18 36 32 -0.192336363837286
+1 0 1 0 0 18 37 32 -0.275010333503837
+1 0 1 0 0 18 38 32 -0.354054672129119
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0.203336824400688
+2 0 1 0 0 18 14 32 0.287310844989877
+2 0 1 0 0 18 15 32 0.366814710346517
+2 0 1 0 0 18 16 32 0.437116971964769
+2 0 1 0 0 18 17 32 0.49863426960122
+2 0 1 0 0 18 18 32 0.54998022255102
+2 0 1 0 0 18 19 32 0.590130164181673
+2 0 1 0 0 18 20 32 0.618266757464451
+2 0 1 0 0 18 21 32 0.63381722249935
+2 0 1 0 0 18 22 32 0.636464996662099
+2 0 1 0 0 18 23 32 0.626156178906293
+2 0 1 0 0 18 24 32 0.603100627033265
+2 0 1 0 0 18 25 32 0.567767685592429
+2 0 1 0 0 18 26 32 0.520876631379732
+2 0 1 0 0 18 27 32 0.463382031036309
+2 0 1 0 0 18 28 32 0.396454308824417
+2 0 1 0 0 18 29 32 0.321455920164677
+2 0 1 0 0 18 30 32 0.239913615972709
+2 0 1 0 0 18 31 32 0.153487362413272
+2 0 1 0 0 18 32 32 0.0639365487761045
+2 0 1 0 0 18 33 32 -0.0269158286163637
+2 0 1 0 0 18 34 32 -0.117220277357043
+2 0 1 0 0 18 35 32 -0.205118972117534
+2 0 1 0 0 18 36 32 -0.288811734351734
+2 0 1 0 0 18 37 32 -0.365347955302905
+2 0 1 0 0 18 38 32 -0.436059668496852
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 -0.637195713383579
+2 0 0 0 0 18 2 32 -0.604381951846523
+2 0 0 0 0 18 4 32 -0.522604758968737
+2 0 0 0 0 18 6 32 -0.398489236569475
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+2 0 0 0 0 18 10 32 -0.0660790042720144
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+2 0 0 0 0 18 14 32 0.287310844989877
+2 0 0 0 0 18 16 32 0.437116971964769
+2 0 0 0 0 18 18 32 0.54998022255102
+2 0 0 0 0 18 20 32 0.618266757464451
+2 0 0 0 0 18 22 32 0.636464996662099
+2 0 0 0 0 18 24 32 0.603100627033265
+2 0 0 0 0 18 26 32 0.520876631379732
+2 0 0 0 0 18 28 32 0.396454308824417
+2 0 0 0 0 18 30 32 0.239913615972709
+2 0 0 0 0 18 32 32 0.0639365487761045
+2 0 0 0 0 18 34 32 -0.117220277357043
+2 0 0 0 0 18 36 32 -0.288811734351734
+2 0 0 0 0 18 38 32 -0.436059668496852
+2 0 0 0 0 18 40 32 -0.54948153100891
+2 0 0 0 0 18 42 32 -0.618387667771118
+2 0 0 0 0 18 44 32 -0.637195713383579
+2 0 0 0 0 18 46 32 -0.604381951846523
+2 0 0 0 0 18 48 32 -0.522604758968737
+2 0 0 0 0 18 50 32 -0.398489236569475
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0.297122722560746
+3 0 1 0 0 18 14 32 0.374509240180489
+3 0 1 0 0 18 15 32 0.447057640236956
+3 0 1 0 0 18 16 32 0.506827467675778
+3 0 1 0 0 18 17 32 0.556679618070835
+3 0 1 0 0 18 18 32 0.595093232939735
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+3 0 1 0 0 18 20 32 0.635052877796211
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+3 0 1 0 0 18 25 32 0.513028618250146
+3 0 1 0 0 18 26 32 0.454056407511513
+3 0 1 0 0 18 27 32 0.385840917706499
+3 0 1 0 0 18 28 32 0.309770819490304
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+3 0 1 0 0 18 30 32 0.14038944195199
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+3 0 1 0 0 18 32 32 -0.0403654532451152
+3 0 1 0 0 18 33 32 -0.130434852313489
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+3 0 1 0 0 18 36 32 -0.377490025456466
+3 0 1 0 0 18 37 32 -0.444792713212239
+3 0 1 0 0 18 38 32 -0.504818975199184
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0.385785774294104
+4 0 1 0 0 18 14 32 0.454285228667723
+4 0 1 0 0 18 15 32 0.515349180689513
+4 0 1 0 0 18 16 32 0.562872587609479
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+4 0 1 0 0 18 24 32 0.504938202020884
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+4 0 1 0 0 18 26 32 0.375042831525238
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+4 0 1 0 0 18 28 32 0.214763721285018
+4 0 1 0 0 18 29 32 0.127219638928892
+4 0 1 0 0 18 30 32 0.0370857315953171
+4 0 1 0 0 18 31 32 -0.0538031152566823
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+4 0 1 0 0 18 36 32 -0.455984939625854
+4 0 1 0 0 18 37 32 -0.513778155864505
+4 0 1 0 0 18 38 32 -0.562263542224784
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 -0.59648290094983
+4 0 0 0 0 18 2 32 -0.508360375451156
+4 0 0 0 0 18 4 32 -0.379053515669004
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+4 0 0 0 0 18 24 32 0.504938202020884
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+4 0 0 0 0 18 28 32 0.214763721285018
+4 0 0 0 0 18 30 32 0.0370857315953171
+4 0 0 0 0 18 32 32 -0.143596518225502
+4 0 0 0 0 18 34 32 -0.312625186671178
+4 0 0 0 0 18 36 32 -0.455984939625854
+4 0 0 0 0 18 38 32 -0.562263542224784
+4 0 0 0 0 18 40 32 -0.624533179725877
+4 0 0 0 0 18 42 32 -0.636281929233952
+4 0 0 0 0 18 44 32 -0.59648290094983
+4 0 0 0 0 18 46 32 -0.508360375451156
+4 0 0 0 0 18 48 32 -0.379053515669004
+4 0 0 0 0 18 50 32 -0.2190379943654
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0.461982018013797
+5 0 1 0 0 18 14 32 0.520003482806647
+5 0 1 0 0 18 15 32 0.569854930437845
+5 0 1 0 0 18 16 32 0.60375578115061
+5 0 1 0 0 18 17 32 0.626858886542579
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+5 0 1 0 0 18 22 32 0.548346354537858
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+5 0 1 0 0 18 24 32 0.434761908683474
+5 0 1 0 0 18 25 32 0.364064424236367
+5 0 1 0 0 18 26 32 0.285955637987861
+5 0 1 0 0 18 27 32 0.202025619576514
+5 0 1 0 0 18 28 32 0.113982942146133
+5 0 1 0 0 18 29 32 0.0236199013058961
+5 0 1 0 0 18 30 32 -0.0672239652138795
+5 0 1 0 0 18 31 32 -0.156699054251949
+5 0 1 0 0 18 32 32 -0.242983304103203
+5 0 1 0 0 18 33 32 -0.324300834751891
+5 0 1 0 0 18 34 32 -0.399002242338411
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+5 0 1 0 0 18 36 32 -0.522215219154659
+5 0 1 0 0 18 37 32 -0.567907562529154
+5 0 1 0 0 18 38 32 -0.603405789548755
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0.528170924206962
+6 0 1 0 0 18 14 32 0.573875778478906
+6 0 1 0 0 18 15 32 0.609087357711785
+6 0 1 0 0 18 16 32 0.628402607982646
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+6 0 1 0 0 18 18 32 0.631885974177864
+6 0 1 0 0 18 19 32 0.614052802194499
+6 0 1 0 0 18 20 32 0.583638284318148
+6 0 1 0 0 18 21 32 0.541352642615007
+6 0 1 0 0 18 22 32 0.488044488959784
+6 0 1 0 0 18 23 32 0.424801283348847
+6 0 1 0 0 18 24 32 0.352910332080566
+6 0 1 0 0 18 25 32 0.273835144531768
+6 0 1 0 0 18 26 32 0.189185463129498
+6 0 1 0 0 18 27 32 0.100684511234231
+6 0 1 0 0 18 28 32 0.0101339134005747
+6 0 1 0 0 18 29 32 -0.080622967557743
+6 0 1 0 0 18 30 32 -0.169738536004199
+6 0 1 0 0 18 31 32 -0.255397088665889
+6 0 1 0 0 18 32 32 -0.33585401956807
+6 0 1 0 0 18 33 32 -0.409421682673876
+6 0 1 0 0 18 34 32 -0.474646413680446
+6 0 1 0 0 18 35 32 -0.529756025928722
+6 0 1 0 0 18 36 32 -0.574438815829003
+6 0 1 0 0 18 37 32 -0.60805918748856
+6 0 1 0 0 18 38 32 -0.629908243846063
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 -0.493113583217527
+6 0 0 0 0 18 2 32 -0.358814710696291
+6 0 0 0 0 18 4 32 -0.195446804267703
+6 0 0 0 0 18 6 32 -0.0162449601242363
+6 0 0 0 0 18 8 32 0.164272954075997
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+6 0 0 0 0 18 20 32 0.583638284318148
+6 0 0 0 0 18 22 32 0.488044488959784
+6 0 0 0 0 18 24 32 0.352910332080566
+6 0 0 0 0 18 26 32 0.189185463129498
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+6 0 0 0 0 18 38 32 -0.629908243846063
+6 0 0 0 0 18 40 32 -0.634176468120291
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+6 0 0 0 0 18 44 32 -0.493113583217527
+6 0 0 0 0 18 46 32 -0.358814710696291
+6 0 0 0 0 18 48 32 -0.195446804267703
+6 0 0 0 0 18 50 32 -0.0162449601242363
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0.578670904321306
+7 0 1 0 0 18 14 32 0.611120822543567
+7 0 1 0 0 18 15 32 0.632013179995388
+7 0 1 0 0 18 16 32 0.636200564958022
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+7 0 1 0 0 18 18 32 0.610159887343057
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+7 0 1 0 0 18 24 32 0.261579505479243
+7 0 1 0 0 18 25 32 0.176248551169568
+7 0 1 0 0 18 26 32 0.0873296842165666
+7 0 1 0 0 18 27 32 -0.0033669630717236
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+7 0 1 0 0 18 30 32 -0.267704421884281
+7 0 1 0 0 18 31 32 -0.347243796592596
+7 0 1 0 0 18 32 32 -0.419709852177272
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+7 0 1 0 0 18 36 32 -0.611281724092102
+7 0 1 0 0 18 37 32 -0.631175009131491
+7 0 1 0 0 18 38 32 -0.639028958773139
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0.615313954557648
+8 0 1 0 0 18 14 32 0.633332379380941
+8 0 1 0 0 18 15 32 0.638001177606514
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+8 0 1 0 0 18 18 32 0.572014114246698
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+8 0 1 0 0 18 20 32 0.47020748332409
+8 0 1 0 0 18 21 32 0.404277860502086
+8 0 1 0 0 18 22 32 0.330094362896857
+8 0 1 0 0 18 23 32 0.249194155030252
+8 0 1 0 0 18 24 32 0.163220390236194
+8 0 1 0 0 18 25 32 0.0739239776031885
+8 0 1 0 0 18 26 32 -0.0168773199826613
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+8 0 1 0 0 18 28 32 -0.195607704667645
+8 0 1 0 0 18 29 32 -0.279897859729244
+8 0 1 0 0 18 30 32 -0.358489413228264
+8 0 1 0 0 18 31 32 -0.429767712952583
+8 0 1 0 0 18 32 32 -0.492292284383873
+8 0 1 0 0 18 33 32 -0.544616953642018
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+8 0 1 0 0 18 35 32 -0.61479306222931
+8 0 1 0 0 18 36 32 -0.63181613582605
+8 0 1 0 0 18 37 32 -0.63824323348834
+8 0 1 0 0 18 38 32 -0.631681916444505
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -0.337794414256765
+8 0 0 0 0 18 2 32 -0.171335037756763
+8 0 0 0 0 18 4 32 0.00900705762306818
+8 0 0 0 0 18 6 32 0.188619368399998
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+8 0 0 0 0 18 16 32 0.626988378392703
+8 0 0 0 0 18 18 32 0.572014114246698
+8 0 0 0 0 18 20 32 0.47020748332409
+8 0 0 0 0 18 22 32 0.330094362896857
+8 0 0 0 0 18 24 32 0.163220390236194
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+8 0 0 0 0 18 30 32 -0.358489413228264
+8 0 0 0 0 18 32 32 -0.492292284383873
+8 0 0 0 0 18 34 32 -0.585933268497504
+8 0 0 0 0 18 36 32 -0.63181613582605
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+8 0 0 0 0 18 40 32 -0.577134100234185
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+8 0 0 0 0 18 44 32 -0.337794414256765
+8 0 0 0 0 18 46 32 -0.171335037756763
+8 0 0 0 0 18 48 32 0.00900705762306818
+8 0 0 0 0 18 50 32 0.188619368399998
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0.63468295670025
+9 0 1 0 0 18 14 32 0.638103833218344
+9 0 1 0 0 18 15 32 0.626926753408967
+9 0 1 0 0 18 16 32 0.601073933798671
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+9 0 1 0 0 18 24 32 0.0604730478656601
+9 0 1 0 0 18 25 32 -0.0303916121695422
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+9 0 1 0 0 18 29 32 -0.369576464792647
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+9 0 1 0 0 18 33 32 -0.5910528806185
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+9 0 1 0 0 18 36 32 -0.635500488835326
+9 0 1 0 0 18 37 32 -0.627924931934169
+9 0 1 0 0 18 38 32 -0.607665083231773
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 0.637799722924
+10 0 1 0 0 18 14 32 0.626237389313338
+10 0 1 0 0 18 15 32 0.599074426470653
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+10 0 1 0 0 18 22 32 0.136907580818238
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+10 0 1 0 0 18 26 32 -0.221164988617415
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+10 0 1 0 0 18 28 32 -0.380507838785124
+10 0 1 0 0 18 29 32 -0.449334887774671
+10 0 1 0 0 18 30 32 -0.50901277475374
+10 0 1 0 0 18 31 32 -0.558264609999379
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+10 0 1 0 0 18 33 32 -0.621597991134857
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+10 0 1 0 0 18 35 32 -0.634637332213418
+10 0 1 0 0 18 36 32 -0.622293494676205
+10 0 1 0 0 18 37 32 -0.601129194429765
+10 0 1 0 0 18 38 32 -0.567045803677738
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -0.146717342024451
+10 0 0 0 0 18 2 32 0.0344564118207704
+10 0 0 0 0 18 4 32 0.212856332547802
+10 0 0 0 0 18 6 32 0.374010450467525
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+10 0 0 0 0 18 20 32 0.306551539775832
+10 0 0 0 0 18 22 32 0.136907580818238
+10 0 0 0 0 18 24 32 -0.0439043350060397
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+10 0 0 0 0 18 28 32 -0.380507838785124
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+10 0 0 0 0 18 32 32 -0.596166505580224
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+10 0 0 0 0 18 36 32 -0.622293494676205
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+10 0 0 0 0 18 40 32 -0.45912263335399
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+10 0 0 0 0 18 44 32 -0.146717342024451
+10 0 0 0 0 18 46 32 0.0344564118207704
+10 0 0 0 0 18 48 32 0.212856332547802
+10 0 0 0 0 18 50 32 0.374010450467525
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0.623885519379401
+11 0 1 0 0 18 14 32 0.597965427862751
+11 0 1 0 0 18 15 32 0.555228765239665
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+11 0 1 0 0 18 37 32 -0.558414107988997
+11 0 1 0 0 18 38 32 -0.512210762270426
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0.5930426294711
+12 0 1 0 0 18 14 32 0.553210488800972
+12 0 1 0 0 18 15 32 0.496546799197769
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+12 0 1 0 0 18 37 32 -0.500495251094579
+12 0 1 0 0 18 38 32 -0.44236439751383
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0.0601347312362356
+12 0 0 0 0 18 2 32 0.236957446841132
+12 0 0 0 0 18 4 32 0.394656522751025
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+12 0 0 0 0 18 46 32 0.236957446841132
+12 0 0 0 0 18 48 32 0.394656522751025
+12 0 0 0 0 18 50 32 0.520374608611478
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.zl
new file mode 100644
index 000000000..c22abf4d2
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl2/vz.zl
@@ -0,0 +1,782 @@
+# HYDROTOY::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -0.636945771771587
+0 0 1 0 0 18 24 18 -0.62302697845592
+0 0 1 0 0 18 24 19 -0.581878916566593
+0 0 1 0 0 18 24 20 -0.515299953858479
+0 0 1 0 0 18 24 21 -0.426199910483232
+0 0 1 0 0 18 24 22 -0.318472885885792
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+0 0 1 0 0 18 24 24 -0.0665789627081123
+0 0 1 0 0 18 24 25 0.0665789627081145
+0 0 1 0 0 18 24 26 0.196827067972688
+0 0 1 0 0 18 24 27 0.318472885885794
+0 0 1 0 0 18 24 28 0.426199910483233
+0 0 1 0 0 18 24 29 0.515299953858481
+0 0 1 0 0 18 24 30 0.581878916566594
+0 0 1 0 0 18 24 31 0.62302697845592
+0 0 1 0 0 18 24 32 0.636945771771587
+0 0 1 0 0 18 24 33 0.62302697845592
+0 0 1 0 0 18 24 34 0.581878916566594
+0 0 1 0 0 18 24 35 0.515299953858481
+0 0 1 0 0 18 24 36 0.426199910483233
+0 0 1 0 0 18 24 37 0.318472885885794
+0 0 1 0 0 18 24 38 0.196827067972688
+0 0 1 0 0 18 24 39 0.0665789627081145
+0 0 1 0 0 18 24 40 -0.0665789627081124
+0 0 1 0 0 18 24 41 -0.196827067972686
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+0 0 1 0 0 18 24 43 -0.426199910483232
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+0 0 1 0 0 18 24 47 -0.636945771771587
+0 0 1 0 0 18 24 48 -0.62302697845592
+0 0 1 0 0 18 24 49 -0.581878916566595
+0 0 1 0 0 18 24 50 -0.515299953858482
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 0.581878916566596
+0 0 0 0 0 18 24 2 0.636945771771587
+0 0 0 0 0 18 24 4 0.581878916566593
+0 0 0 0 0 18 24 6 0.42619991048323
+0 0 0 0 0 18 24 8 0.196827067972683
+0 0 0 0 0 18 24 10 -0.0665789627081168
+0 0 0 0 0 18 24 12 -0.318472885885796
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+0 0 0 0 0 18 24 26 0.196827067972688
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+0 0 0 0 0 18 24 64 0.581878916566596
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+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -0.628552655248775
+1 0 1 0 0 18 24 18 -0.594053210778659
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+1 0 1 0 0 18 24 49 -0.532764421039846
+1 0 1 0 0 18 24 50 -0.448932909375275
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -0.603952191874012
+2 0 1 0 0 18 24 18 -0.548892104535778
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+2 0 1 0 0 18 24 49 -0.469079251221587
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+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 0.634847735200847
+2 0 0 0 0 18 24 2 0.604381951846525
+2 0 0 0 0 18 24 4 0.469413038380274
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+2 0 0 0 0 18 24 64 0.469413038380274
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+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -0.563884077634816
+3 0 1 0 0 18 24 18 -0.48985993946387
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+3 0 1 0 0 18 24 50 -0.282166175168066
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -0.507666077925392
+4 0 1 0 0 18 24 18 -0.416184622317406
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+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 0.621361463077223
+4 0 0 0 0 18 24 2 0.508360375451158
+4 0 0 0 0 18 24 4 0.307459160600559
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+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -0.439317612840879
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+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -0.357269351548466
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+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 0.542663970499056
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+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -0.267726383981873
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+7 0 1 0 0 18 24 50 0.11869737061067
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+8 0 1 0 0 18 24 38 -0.535206629312114
+8 0 1 0 0 18 24 39 -0.595348483600876
+8 0 1 0 0 18 24 40 -0.629469774472582
+8 0 1 0 0 18 24 41 -0.636077875495608
+8 0 1 0 0 18 24 42 -0.614857381767379
+8 0 1 0 0 18 24 43 -0.566743572601221
+8 0 1 0 0 18 24 44 -0.493563506459582
+8 0 1 0 0 18 24 45 -0.39900984259854
+8 0 1 0 0 18 24 46 -0.28650620604291
+8 0 1 0 0 18 24 47 -0.163714605131354
+8 0 1 0 0 18 24 48 -0.0358075690514059
+8 0 1 0 0 18 24 49 0.0930123046370683
+8 0 1 0 0 18 24 50 0.219203019053916
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 0.406862107822967
+8 0 0 0 0 18 24 2 0.171334964440367
+8 0 0 0 0 18 24 4 -0.0938174314677489
+8 0 0 0 0 18 24 6 -0.342747941170476
+8 0 0 0 0 18 24 8 -0.532414148571308
+8 0 0 0 0 18 24 10 -0.630018924566627
+8 0 0 0 0 18 24 12 -0.618668197231999
+8 0 0 0 0 18 24 14 -0.500132671977512
+8 0 0 0 0 18 24 16 -0.294505439161729
+8 0 0 0 0 18 24 18 -0.0350646344834
+8 0 0 0 0 18 24 20 0.229909261793259
+8 0 0 0 0 18 24 22 0.452263385625963
+8 0 0 0 0 18 24 24 0.595442803155252
+8 0 0 0 0 18 24 26 0.636087282600408
+8 0 0 0 0 18 24 28 0.566831873141781
+8 0 0 0 0 18 24 30 0.399570792846948
+8 0 0 0 0 18 24 32 0.163220390236194
+8 0 0 0 0 18 24 34 -0.101352299915247
+8 0 0 0 0 18 24 36 -0.348400256592661
+8 0 0 0 0 18 24 38 -0.535206629312114
+8 0 0 0 0 18 24 40 -0.629469774472582
+8 0 0 0 0 18 24 42 -0.614857381767379
+8 0 0 0 0 18 24 44 -0.493563506459582
+8 0 0 0 0 18 24 46 -0.28650620604291
+8 0 0 0 0 18 24 48 -0.0358075690514059
+8 0 0 0 0 18 24 50 0.219203019053916
+8 0 0 0 0 18 24 52 0.448601536588747
+8 0 0 0 0 18 24 54 0.593937141526344
+8 0 0 0 0 18 24 56 0.638340468981473
+8 0 0 0 0 18 24 58 0.57203618861038
+8 0 0 0 0 18 24 60 0.406862107822967
+8 0 0 0 0 18 24 62 0.171334964440367
+8 0 0 0 0 18 24 64 -0.0938174314677489
+8 0 0 0 0 18 24 66 -0.342747941170476
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -0.0673104018561829
+9 0 1 0 0 18 24 18 0.0681059794807378
+9 0 1 0 0 18 24 19 0.207247669805296
+9 0 1 0 0 18 24 20 0.3231225367424
+9 0 1 0 0 18 24 21 0.429930207547708
+9 0 1 0 0 18 24 22 0.519613415122261
+9 0 1 0 0 18 24 23 0.583751095896297
+9 0 1 0 0 18 24 24 0.624525490710246
+9 0 1 0 0 18 24 25 0.636911291836498
+9 0 1 0 0 18 24 26 0.62181446801571
+9 0 1 0 0 18 24 27 0.579423490479057
+9 0 1 0 0 18 24 28 0.51173122563348
+9 0 1 0 0 18 24 29 0.421668526201587
+9 0 1 0 0 18 24 30 0.313177544889287
+9 0 1 0 0 18 24 31 0.190999084882931
+9 0 1 0 0 18 24 32 0.0604730478656601
+9 0 1 0 0 18 24 33 -0.0726959250412192
+9 0 1 0 0 18 24 34 -0.202687782338635
+9 0 1 0 0 18 24 35 -0.323821149913778
+9 0 1 0 0 18 24 36 -0.430802052798408
+9 0 1 0 0 18 24 37 -0.518954750463454
+9 0 1 0 0 18 24 38 -0.584426649558037
+9 0 1 0 0 18 24 39 -0.624355967782524
+9 0 1 0 0 18 24 40 -0.636994708234685
+9 0 1 0 0 18 24 41 -0.621788732358851
+9 0 1 0 0 18 24 42 -0.579346351849336
+9 0 1 0 0 18 24 43 -0.511571376702781
+9 0 1 0 0 18 24 44 -0.421036350318192
+9 0 1 0 0 18 24 45 -0.312582059809674
+9 0 1 0 0 18 24 46 -0.190343253101527
+9 0 1 0 0 18 24 47 -0.0623249205973711
+9 0 1 0 0 18 24 48 0.0659154289238202
+9 0 1 0 0 18 24 49 0.191567573611653
+9 0 1 0 0 18 24 50 0.311579686164898
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 0.0383821213740489
+10 0 1 0 0 18 24 18 0.1722193300997
+10 0 1 0 0 18 24 19 0.304713853391441
+10 0 1 0 0 18 24 20 0.407506885262113
+10 0 1 0 0 18 24 21 0.501571513927838
+10 0 1 0 0 18 24 22 0.57290708953729
+10 0 1 0 0 18 24 23 0.617097856793352
+10 0 1 0 0 18 24 24 0.636865655615
+10 0 1 0 0 18 24 25 0.627256856106354
+10 0 1 0 0 18 24 26 0.590853474991442
+10 0 1 0 0 18 24 27 0.528389403826346
+10 0 1 0 0 18 24 28 0.442887549383583
+10 0 1 0 0 18 24 29 0.338014000996221
+10 0 1 0 0 18 24 30 0.218369975653913
+10 0 1 0 0 18 24 31 0.0891816520752122
+10 0 1 0 0 18 24 32 -0.0439043350060397
+10 0 1 0 0 18 24 33 -0.175071398514669
+10 0 1 0 0 18 24 34 -0.298587154034695
+10 0 1 0 0 18 24 35 -0.409053019596751
+10 0 1 0 0 18 24 36 -0.501641535533039
+10 0 1 0 0 18 24 37 -0.572305626949493
+10 0 1 0 0 18 24 38 -0.617957182018054
+10 0 1 0 0 18 24 39 -0.636600084891583
+10 0 1 0 0 18 24 40 -0.627411947673815
+10 0 1 0 0 18 24 41 -0.590794789433834
+10 0 1 0 0 18 24 42 -0.528246281395612
+10 0 1 0 0 18 24 43 -0.442637527778285
+10 0 1 0 0 18 24 44 -0.337219204565761
+10 0 1 0 0 18 24 45 -0.217927097698857
+10 0 1 0 0 18 24 46 -0.0895242829425776
+10 0 1 0 0 18 24 47 0.0402427762176866
+10 0 1 0 0 18 24 48 0.165763826892466
+10 0 1 0 0 18 24 49 0.287779025753113
+10 0 1 0 0 18 24 50 0.39839517291877
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 0.228092326203458
+10 0 0 0 0 18 24 2 -0.0344576734701573
+10 0 0 0 0 18 24 4 -0.291047497445495
+10 0 0 0 0 18 24 6 -0.497312592198739
+10 0 0 0 0 18 24 8 -0.617586750290233
+10 0 0 0 0 18 24 10 -0.631058955556475
+10 0 0 0 0 18 24 12 -0.535344616539465
+10 0 0 0 0 18 24 14 -0.346529282144943
+10 0 0 0 0 18 24 16 -0.0969838053373678
+10 0 0 0 0 18 24 18 0.1722193300997
+10 0 0 0 0 18 24 20 0.407506885262113
+10 0 0 0 0 18 24 22 0.57290708953729
+10 0 0 0 0 18 24 24 0.636865655615
+10 0 0 0 0 18 24 26 0.590853474991442
+10 0 0 0 0 18 24 28 0.442887549383583
+10 0 0 0 0 18 24 30 0.218369975653913
+10 0 0 0 0 18 24 32 -0.0439043350060397
+10 0 0 0 0 18 24 34 -0.298587154034695
+10 0 0 0 0 18 24 36 -0.501641535533039
+10 0 0 0 0 18 24 38 -0.617957182018054
+10 0 0 0 0 18 24 40 -0.627411947673815
+10 0 0 0 0 18 24 42 -0.528246281395612
+10 0 0 0 0 18 24 44 -0.337219204565761
+10 0 0 0 0 18 24 46 -0.0895242829425776
+10 0 0 0 0 18 24 48 0.165763826892466
+10 0 0 0 0 18 24 50 0.39839517291877
+10 0 0 0 0 18 24 52 0.571870175569187
+10 0 0 0 0 18 24 54 0.637589711139281
+10 0 0 0 0 18 24 56 0.596427090457052
+10 0 0 0 0 18 24 58 0.451180077641788
+10 0 0 0 0 18 24 60 0.228092326203458
+10 0 0 0 0 18 24 62 -0.0344576734701573
+10 0 0 0 0 18 24 64 -0.291047497445495
+10 0 0 0 0 18 24 66 -0.497312592198739
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 0.140401432743851
+11 0 1 0 0 18 24 18 0.26880114551625
+11 0 1 0 0 18 24 19 0.393846627993039
+11 0 1 0 0 18 24 20 0.480954918512145
+11 0 1 0 0 18 24 21 0.560107914812061
+11 0 1 0 0 18 24 22 0.610668781759103
+11 0 1 0 0 18 24 23 0.633954881204441
+11 0 1 0 0 18 24 24 0.632116586972226
+11 0 1 0 0 18 24 25 0.600720747226409
+11 0 1 0 0 18 24 26 0.544037262547874
+11 0 1 0 0 18 24 27 0.46315417077551
+11 0 1 0 0 18 24 28 0.362147958854848
+11 0 1 0 0 18 24 29 0.245276502354383
+11 0 1 0 0 18 24 30 0.11769224127333
+11 0 1 0 0 18 24 31 -0.0150373439621161
+11 0 1 0 0 18 24 32 -0.147109688782648
+11 0 1 0 0 18 24 33 -0.272752362578289
+11 0 1 0 0 18 24 34 -0.386474883191521
+11 0 1 0 0 18 24 35 -0.483306048521102
+11 0 1 0 0 18 24 36 -0.559015028357842
+11 0 1 0 0 18 24 37 -0.610291605176143
+11 0 1 0 0 18 24 38 -0.634895220712324
+11 0 1 0 0 18 24 39 -0.631748630978904
+11 0 1 0 0 18 24 40 -0.600972360132099
+11 0 1 0 0 18 24 41 -0.543921534807812
+11 0 1 0 0 18 24 42 -0.462923407119285
+11 0 1 0 0 18 24 43 -0.361808322864076
+11 0 1 0 0 18 24 44 -0.244437971937093
+11 0 1 0 0 18 24 45 -0.117678240665223
+11 0 1 0 0 18 24 46 0.0131996512138911
+11 0 1 0 0 18 24 47 0.14141145462381
+11 0 1 0 0 18 24 48 0.2612124303864
+11 0 1 0 0 18 24 49 0.373582176770033
+11 0 1 0 0 18 24 50 0.472741065864329
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 0.241221321252669
+12 0 1 0 0 18 24 18 0.360676183016133
+12 0 1 0 0 18 24 19 0.472256602825277
+12 0 1 0 0 18 24 20 0.541467407803912
+12 0 1 0 0 18 24 21 0.603880373419682
+12 0 1 0 0 18 24 22 0.631859621511512
+12 0 1 0 0 18 24 23 0.633945254903931
+12 0 1 0 0 18 24 24 0.610379870791735
+12 0 1 0 0 18 24 25 0.558018408127678
+12 0 1 0 0 18 24 26 0.482623761535182
+12 0 1 0 0 18 24 27 0.385461609241215
+12 0 1 0 0 18 24 28 0.271679595125292
+12 0 1 0 0 18 24 29 0.145943255611249
+12 0 1 0 0 18 24 30 0.0138461040638361
+12 0 1 0 0 18 24 31 -0.118860736216739
+12 0 1 0 0 18 24 32 -0.246372589803212
+12 0 1 0 0 18 24 33 -0.363116106322063
+12 0 1 0 0 18 24 34 -0.463990787825967
+12 0 1 0 0 18 24 35 -0.544585513645884
+12 0 1 0 0 18 24 36 -0.601380639999238
+12 0 1 0 0 18 24 37 -0.631890738575358
+12 0 1 0 0 18 24 38 -0.63478307885622
+12 0 1 0 0 18 24 39 -0.609928004007712
+12 0 1 0 0 18 24 40 -0.558378421502418
+12 0 1 0 0 18 24 41 -0.482422084270974
+12 0 1 0 0 18 24 42 -0.385136121346867
+12 0 1 0 0 18 24 43 -0.271286228895899
+12 0 1 0 0 18 24 44 -0.145276681397525
+12 0 1 0 0 18 24 45 -0.0146052894672054
+12 0 1 0 0 18 24 46 0.11512425968356
+12 0 1 0 0 18 24 47 0.238511647698327
+12 0 1 0 0 18 24 48 0.349863059402887
+12 0 1 0 0 18 24 49 0.452843160666537
+12 0 1 0 0 18 24 50 0.536920169485308
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 0.0250520621808693
+12 0 0 0 0 18 24 2 -0.236964808005164
+12 0 0 0 0 18 24 4 -0.457995230719109
+12 0 0 0 0 18 24 6 -0.599834516037276
+12 0 0 0 0 18 24 8 -0.637951062980916
+12 0 0 0 0 18 24 10 -0.565702158395897
+12 0 0 0 0 18 24 12 -0.395474719604791
+12 0 0 0 0 18 24 14 -0.155905867969948
+12 0 0 0 0 18 24 16 0.111277787799026
+12 0 0 0 0 18 24 18 0.360676183016133
+12 0 0 0 0 18 24 20 0.541467407803912
+12 0 0 0 0 18 24 22 0.631859621511512
+12 0 0 0 0 18 24 24 0.610379870791735
+12 0 0 0 0 18 24 26 0.482623761535182
+12 0 0 0 0 18 24 28 0.271679595125292
+12 0 0 0 0 18 24 30 0.0138461040638361
+12 0 0 0 0 18 24 32 -0.246372589803212
+12 0 0 0 0 18 24 34 -0.463990787825967
+12 0 0 0 0 18 24 36 -0.601380639999238
+12 0 0 0 0 18 24 38 -0.63478307885622
+12 0 0 0 0 18 24 40 -0.558378421502418
+12 0 0 0 0 18 24 42 -0.385136121346867
+12 0 0 0 0 18 24 44 -0.145276681397525
+12 0 0 0 0 18 24 46 0.11512425968356
+12 0 0 0 0 18 24 48 0.349863059402887
+12 0 0 0 0 18 24 50 0.536920169485308
+12 0 0 0 0 18 24 52 0.635037291597837
+12 0 0 0 0 18 24 54 0.614007743732415
+12 0 0 0 0 18 24 56 0.491842829351883
+12 0 0 0 0 18 24 58 0.282643010794454
+12 0 0 0 0 18 24 60 0.0250520621808693
+12 0 0 0 0 18 24 62 -0.236964808005164
+12 0 0 0 0 18 24 64 -0.457995230719109
+12 0 0 0 0 18 24 66 -0.599834516037276
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3.log b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3.log
new file mode 100644
index 000000000..17abc8f69
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3.log
@@ -0,0 +1,164 @@
+--------------------------------------------------------------------------------
+
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+
+Cactus version: 4.0.b11
+Compile date: Nov 30 2001 (15:23:02)
+Run date: Dec 3 2001 (11:14:43)
+Run host: lilypond.tat.physik.uni-tuebingen.de
+Parameter file: /home/eschnett/Calpha/Cactus/arrangements/Carpet/HydroToy/test/hydrotoy_periodic_coarse_rl3.par
+--------------------------------------------------------------------------------
+
+Activating thorn Cactus...Success -> active implementation Cactus
+Activation requested for
+--->Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetSlab IDHydroToy HydroToy<---
+Activating thorn Boundary...Success -> active implementation boundary
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetIOFlexIO...Success -> active implementation IOFlexIO
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn HydroToy...Success -> active implementation hydrotoy
+Activating thorn IDHydroToy...Success -> active implementation idhydrotoy
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Time...Success -> active implementation time
+--------------------------------------------------------------------------------
+ if (recover)
+ Recover parameters
+ endif
+
+ Startup routines
+ Carpet: Startup routine
+ IOUtil: Startup routine
+ CarpetIOFlexIO: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ HydroToy: Register banner
+ IDHydroToy: Register banner
+ IOBasic: Startup routine
+ CarpetIOASCII: Startup routine
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ HydroToy: Schedule symmetries
+ Time: Initialise Time variables
+ Time: Set timestep based on Courant condition
+ CarpetIOFlexIO: Read initial data from file
+ IDHydroToy: Initial data for 3D wave equation
+ if (recover)
+ endif
+ if (checkpoint initial data)
+ endif
+ if (analysis)
+ endif
+
+ do loop over timesteps
+ Rotate timelevels
+ iteration = iteration + 1
+ t = t+dt
+ HydroToy: Euler predictor step
+ HydroToy: Euler corrector step
+ if (checkpoint)
+ endif
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 3D FlexIO I/O provided by CarpetIOFlexIO
+--------------------------------------------------------------------------------
+HydroToy: Evolutions of a Scalar and a Vector Field
+--------------------------------------------------------------------------------
+IDHydroToy: Initial data for a Scalar and a Vector Field
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+
+INFO (Carpet): Carpet is running on 1 processors
+INFO (IOBasic): I/O Method 'Scalar' registered
+INFO (IOBasic): Scalar: Output of scalar quantities (grid scalars, reductions) to ASCII files
+INFO (IOBasic): I/O Method 'Info' registered
+INFO (IOBasic): Info: Output of scalar quantities (grid scalars, reductions) to screen
+INFO (Cart3d): Cartesian coordinates:
+INFO (Cart3d): Whole grid: lower bound [-5.4, -7.2, -9.6]
+INFO (Cart3d): Whole grid: upper bound [5.4, 7.8, 10.2]
+INFO (Cart3d): Whole grid: extent [11.4, 15.6, 20.4]
+INFO (Cart3d): Interior: lower bound [-4.2, -6, -8.4]
+INFO (Cart3d): Interior: upper bound [4.2, 6.6, 9]
+INFO (Cart3d): Interior: extent [9, 13.2, 18]
+INFO (Cart3d): Grid spacing: [0.6, 0.6, 0.6]
+INFO (IOBasic): Scalar: Output every -1 iterations
+INFO (IOBasic): Info: Output every 1 iterations
+------------------
+ it | |
+ | t |
+------------------
+ 0 | 0.000 |
+ 0 | 0.000 |
+ 0 | 0.000 |
+ 1 | 0.075 |
+ 2 | 0.150 |
+ 2 | 0.150 |
+ 3 | 0.225 |
+ 4 | 0.300 |
+ 4 | 0.300 |
+ 4 | 0.300 |
+ 5 | 0.375 |
+ 6 | 0.450 |
+ 6 | 0.450 |
+ 7 | 0.525 |
+ 8 | 0.600 |
+ 8 | 0.600 |
+ 8 | 0.600 |
+ 9 | 0.675 |
+ 10 | 0.750 |
+ 10 | 0.750 |
+ 11 | 0.825 |
+ 12 | 0.900 |
+ 12 | 0.900 |
+ 12 | 0.900 |
+ 13 | 0.975 |
+ 14 | 1.050 |
+ 14 | 1.050 |
+ 15 | 1.125 |
+ 16 | 1.200 |
+ 16 | 1.200 |
+ 16 | 1.200 |
+ 17 | 1.275 |
+ 18 | 1.350 |
+ 18 | 1.350 |
+ 19 | 1.425 |
+ 20 | 1.500 |
+ 20 | 1.500 |
+ 20 | 1.500 |
+ 21 | 1.575 |
+ 22 | 1.650 |
+ 22 | 1.650 |
+ 23 | 1.725 |
+ 24 | 1.800 |
+ 24 | 1.800 |
+ 24 | 1.800 |
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3.par b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3.par
new file mode 100644
index 000000000..a13f4a4cc
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3.par
@@ -0,0 +1,52 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3.par,v 1.4 2004/03/23 12:00:04 schnetter Exp $
+
+!DESC "WaveToy with periodic boundaries, 2 refinement levels"
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 24
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 3
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "hydrotoy_periodic_coarse_rl3"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "hydrotoy::hydroevolve grid::coordinates"
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.xl
new file mode 100644
index 000000000..35dd3bbb1
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.xl
@@ -0,0 +1,1082 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 -1.35
+0 0 2 0 0 28 48 64 -1.2
+0 0 2 0 0 29 48 64 -1.05
+0 0 2 0 0 30 48 64 -0.9
+0 0 2 0 0 31 48 64 -0.75
+0 0 2 0 0 32 48 64 -0.6
+0 0 2 0 0 33 48 64 -0.45
+0 0 2 0 0 34 48 64 -0.3
+0 0 2 0 0 35 48 64 -0.15
+0 0 2 0 0 36 48 64 4.44089209850063e-16
+0 0 2 0 0 37 48 64 0.15
+0 0 2 0 0 38 48 64 0.3
+0 0 2 0 0 39 48 64 0.450000000000001
+0 0 2 0 0 40 48 64 0.600000000000001
+0 0 2 0 0 41 48 64 0.750000000000001
+0 0 2 0 0 42 48 64 0.900000000000001
+0 0 2 0 0 43 48 64 1.05
+0 0 2 0 0 44 48 64 1.2
+0 0 2 0 0 45 48 64 1.35
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -2.7
+0 0 1 0 0 20 48 64 -2.4
+0 0 1 0 0 22 48 64 -2.1
+0 0 1 0 0 24 48 64 -1.8
+0 0 1 0 0 26 48 64 -1.5
+0 0 1 0 0 28 48 64 -1.2
+0 0 1 0 0 30 48 64 -0.9
+0 0 1 0 0 32 48 64 -0.6
+0 0 1 0 0 34 48 64 -0.3
+0 0 1 0 0 36 48 64 4.44089209850063e-16
+0 0 1 0 0 38 48 64 0.3
+0 0 1 0 0 40 48 64 0.600000000000001
+0 0 1 0 0 42 48 64 0.900000000000001
+0 0 1 0 0 44 48 64 1.2
+0 0 1 0 0 46 48 64 1.5
+0 0 1 0 0 48 48 64 1.8
+0 0 1 0 0 50 48 64 2.1
+0 0 1 0 0 52 48 64 2.4
+0 0 1 0 0 54 48 64 2.7
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -5.4
+0 0 0 0 0 4 48 64 -4.8
+0 0 0 0 0 8 48 64 -4.2
+0 0 0 0 0 12 48 64 -3.6
+0 0 0 0 0 16 48 64 -3
+0 0 0 0 0 20 48 64 -2.4
+0 0 0 0 0 24 48 64 -1.8
+0 0 0 0 0 28 48 64 -1.2
+0 0 0 0 0 32 48 64 -0.6
+0 0 0 0 0 36 48 64 4.44089209850063e-16
+0 0 0 0 0 40 48 64 0.600000000000001
+0 0 0 0 0 44 48 64 1.2
+0 0 0 0 0 48 48 64 1.8
+0 0 0 0 0 52 48 64 2.4
+0 0 0 0 0 56 48 64 3
+0 0 0 0 0 60 48 64 3.6
+0 0 0 0 0 64 48 64 4.2
+0 0 0 0 0 68 48 64 4.8
+0 0 0 0 0 72 48 64 5.4
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 -1.35
+1 0 2 0 0 28 48 64 -1.2
+1 0 2 0 0 29 48 64 -1.05
+1 0 2 0 0 30 48 64 -0.9
+1 0 2 0 0 31 48 64 -0.75
+1 0 2 0 0 32 48 64 -0.6
+1 0 2 0 0 33 48 64 -0.45
+1 0 2 0 0 34 48 64 -0.3
+1 0 2 0 0 35 48 64 -0.15
+1 0 2 0 0 36 48 64 4.44089209850063e-16
+1 0 2 0 0 37 48 64 0.15
+1 0 2 0 0 38 48 64 0.3
+1 0 2 0 0 39 48 64 0.450000000000001
+1 0 2 0 0 40 48 64 0.600000000000001
+1 0 2 0 0 41 48 64 0.750000000000001
+1 0 2 0 0 42 48 64 0.900000000000001
+1 0 2 0 0 43 48 64 1.05
+1 0 2 0 0 44 48 64 1.2
+1 0 2 0 0 45 48 64 1.35
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 -1.35
+2 0 2 0 0 28 48 64 -1.2
+2 0 2 0 0 29 48 64 -1.05
+2 0 2 0 0 30 48 64 -0.9
+2 0 2 0 0 31 48 64 -0.75
+2 0 2 0 0 32 48 64 -0.6
+2 0 2 0 0 33 48 64 -0.45
+2 0 2 0 0 34 48 64 -0.3
+2 0 2 0 0 35 48 64 -0.15
+2 0 2 0 0 36 48 64 4.44089209850063e-16
+2 0 2 0 0 37 48 64 0.15
+2 0 2 0 0 38 48 64 0.3
+2 0 2 0 0 39 48 64 0.450000000000001
+2 0 2 0 0 40 48 64 0.600000000000001
+2 0 2 0 0 41 48 64 0.750000000000001
+2 0 2 0 0 42 48 64 0.900000000000001
+2 0 2 0 0 43 48 64 1.05
+2 0 2 0 0 44 48 64 1.2
+2 0 2 0 0 45 48 64 1.35
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -2.7
+2 0 1 0 0 20 48 64 -2.4
+2 0 1 0 0 22 48 64 -2.1
+2 0 1 0 0 24 48 64 -1.8
+2 0 1 0 0 26 48 64 -1.5
+2 0 1 0 0 28 48 64 -1.2
+2 0 1 0 0 30 48 64 -0.9
+2 0 1 0 0 32 48 64 -0.6
+2 0 1 0 0 34 48 64 -0.3
+2 0 1 0 0 36 48 64 4.44089209850063e-16
+2 0 1 0 0 38 48 64 0.3
+2 0 1 0 0 40 48 64 0.600000000000001
+2 0 1 0 0 42 48 64 0.900000000000001
+2 0 1 0 0 44 48 64 1.2
+2 0 1 0 0 46 48 64 1.5
+2 0 1 0 0 48 48 64 1.8
+2 0 1 0 0 50 48 64 2.1
+2 0 1 0 0 52 48 64 2.4
+2 0 1 0 0 54 48 64 2.7
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 -1.35
+3 0 2 0 0 28 48 64 -1.2
+3 0 2 0 0 29 48 64 -1.05
+3 0 2 0 0 30 48 64 -0.9
+3 0 2 0 0 31 48 64 -0.75
+3 0 2 0 0 32 48 64 -0.6
+3 0 2 0 0 33 48 64 -0.45
+3 0 2 0 0 34 48 64 -0.3
+3 0 2 0 0 35 48 64 -0.15
+3 0 2 0 0 36 48 64 4.44089209850063e-16
+3 0 2 0 0 37 48 64 0.15
+3 0 2 0 0 38 48 64 0.3
+3 0 2 0 0 39 48 64 0.450000000000001
+3 0 2 0 0 40 48 64 0.600000000000001
+3 0 2 0 0 41 48 64 0.750000000000001
+3 0 2 0 0 42 48 64 0.900000000000001
+3 0 2 0 0 43 48 64 1.05
+3 0 2 0 0 44 48 64 1.2
+3 0 2 0 0 45 48 64 1.35
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 -1.35
+4 0 2 0 0 28 48 64 -1.2
+4 0 2 0 0 29 48 64 -1.05
+4 0 2 0 0 30 48 64 -0.9
+4 0 2 0 0 31 48 64 -0.75
+4 0 2 0 0 32 48 64 -0.6
+4 0 2 0 0 33 48 64 -0.45
+4 0 2 0 0 34 48 64 -0.3
+4 0 2 0 0 35 48 64 -0.15
+4 0 2 0 0 36 48 64 4.44089209850063e-16
+4 0 2 0 0 37 48 64 0.15
+4 0 2 0 0 38 48 64 0.3
+4 0 2 0 0 39 48 64 0.450000000000001
+4 0 2 0 0 40 48 64 0.600000000000001
+4 0 2 0 0 41 48 64 0.750000000000001
+4 0 2 0 0 42 48 64 0.900000000000001
+4 0 2 0 0 43 48 64 1.05
+4 0 2 0 0 44 48 64 1.2
+4 0 2 0 0 45 48 64 1.35
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 -2.7
+4 0 1 0 0 20 48 64 -2.4
+4 0 1 0 0 22 48 64 -2.1
+4 0 1 0 0 24 48 64 -1.8
+4 0 1 0 0 26 48 64 -1.5
+4 0 1 0 0 28 48 64 -1.2
+4 0 1 0 0 30 48 64 -0.9
+4 0 1 0 0 32 48 64 -0.6
+4 0 1 0 0 34 48 64 -0.3
+4 0 1 0 0 36 48 64 4.44089209850063e-16
+4 0 1 0 0 38 48 64 0.3
+4 0 1 0 0 40 48 64 0.600000000000001
+4 0 1 0 0 42 48 64 0.900000000000001
+4 0 1 0 0 44 48 64 1.2
+4 0 1 0 0 46 48 64 1.5
+4 0 1 0 0 48 48 64 1.8
+4 0 1 0 0 50 48 64 2.1
+4 0 1 0 0 52 48 64 2.4
+4 0 1 0 0 54 48 64 2.7
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -5.4
+4 0 0 0 0 4 48 64 -4.8
+4 0 0 0 0 8 48 64 -4.2
+4 0 0 0 0 12 48 64 -3.6
+4 0 0 0 0 16 48 64 -3
+4 0 0 0 0 20 48 64 -2.4
+4 0 0 0 0 24 48 64 -1.8
+4 0 0 0 0 28 48 64 -1.2
+4 0 0 0 0 32 48 64 -0.6
+4 0 0 0 0 36 48 64 4.44089209850063e-16
+4 0 0 0 0 40 48 64 0.600000000000001
+4 0 0 0 0 44 48 64 1.2
+4 0 0 0 0 48 48 64 1.8
+4 0 0 0 0 52 48 64 2.4
+4 0 0 0 0 56 48 64 3
+4 0 0 0 0 60 48 64 3.6
+4 0 0 0 0 64 48 64 4.2
+4 0 0 0 0 68 48 64 4.8
+4 0 0 0 0 72 48 64 5.4
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 -1.35
+5 0 2 0 0 28 48 64 -1.2
+5 0 2 0 0 29 48 64 -1.05
+5 0 2 0 0 30 48 64 -0.9
+5 0 2 0 0 31 48 64 -0.75
+5 0 2 0 0 32 48 64 -0.6
+5 0 2 0 0 33 48 64 -0.45
+5 0 2 0 0 34 48 64 -0.3
+5 0 2 0 0 35 48 64 -0.15
+5 0 2 0 0 36 48 64 4.44089209850063e-16
+5 0 2 0 0 37 48 64 0.15
+5 0 2 0 0 38 48 64 0.3
+5 0 2 0 0 39 48 64 0.450000000000001
+5 0 2 0 0 40 48 64 0.600000000000001
+5 0 2 0 0 41 48 64 0.750000000000001
+5 0 2 0 0 42 48 64 0.900000000000001
+5 0 2 0 0 43 48 64 1.05
+5 0 2 0 0 44 48 64 1.2
+5 0 2 0 0 45 48 64 1.35
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 -1.35
+6 0 2 0 0 28 48 64 -1.2
+6 0 2 0 0 29 48 64 -1.05
+6 0 2 0 0 30 48 64 -0.9
+6 0 2 0 0 31 48 64 -0.75
+6 0 2 0 0 32 48 64 -0.6
+6 0 2 0 0 33 48 64 -0.45
+6 0 2 0 0 34 48 64 -0.3
+6 0 2 0 0 35 48 64 -0.15
+6 0 2 0 0 36 48 64 4.44089209850063e-16
+6 0 2 0 0 37 48 64 0.15
+6 0 2 0 0 38 48 64 0.3
+6 0 2 0 0 39 48 64 0.450000000000001
+6 0 2 0 0 40 48 64 0.600000000000001
+6 0 2 0 0 41 48 64 0.750000000000001
+6 0 2 0 0 42 48 64 0.900000000000001
+6 0 2 0 0 43 48 64 1.05
+6 0 2 0 0 44 48 64 1.2
+6 0 2 0 0 45 48 64 1.35
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 -2.7
+6 0 1 0 0 20 48 64 -2.4
+6 0 1 0 0 22 48 64 -2.1
+6 0 1 0 0 24 48 64 -1.8
+6 0 1 0 0 26 48 64 -1.5
+6 0 1 0 0 28 48 64 -1.2
+6 0 1 0 0 30 48 64 -0.9
+6 0 1 0 0 32 48 64 -0.6
+6 0 1 0 0 34 48 64 -0.3
+6 0 1 0 0 36 48 64 4.44089209850063e-16
+6 0 1 0 0 38 48 64 0.3
+6 0 1 0 0 40 48 64 0.600000000000001
+6 0 1 0 0 42 48 64 0.900000000000001
+6 0 1 0 0 44 48 64 1.2
+6 0 1 0 0 46 48 64 1.5
+6 0 1 0 0 48 48 64 1.8
+6 0 1 0 0 50 48 64 2.1
+6 0 1 0 0 52 48 64 2.4
+6 0 1 0 0 54 48 64 2.7
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 -1.35
+7 0 2 0 0 28 48 64 -1.2
+7 0 2 0 0 29 48 64 -1.05
+7 0 2 0 0 30 48 64 -0.9
+7 0 2 0 0 31 48 64 -0.75
+7 0 2 0 0 32 48 64 -0.6
+7 0 2 0 0 33 48 64 -0.45
+7 0 2 0 0 34 48 64 -0.3
+7 0 2 0 0 35 48 64 -0.15
+7 0 2 0 0 36 48 64 4.44089209850063e-16
+7 0 2 0 0 37 48 64 0.15
+7 0 2 0 0 38 48 64 0.3
+7 0 2 0 0 39 48 64 0.450000000000001
+7 0 2 0 0 40 48 64 0.600000000000001
+7 0 2 0 0 41 48 64 0.750000000000001
+7 0 2 0 0 42 48 64 0.900000000000001
+7 0 2 0 0 43 48 64 1.05
+7 0 2 0 0 44 48 64 1.2
+7 0 2 0 0 45 48 64 1.35
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 -1.35
+8 0 2 0 0 28 48 64 -1.2
+8 0 2 0 0 29 48 64 -1.05
+8 0 2 0 0 30 48 64 -0.9
+8 0 2 0 0 31 48 64 -0.75
+8 0 2 0 0 32 48 64 -0.6
+8 0 2 0 0 33 48 64 -0.45
+8 0 2 0 0 34 48 64 -0.3
+8 0 2 0 0 35 48 64 -0.15
+8 0 2 0 0 36 48 64 4.44089209850063e-16
+8 0 2 0 0 37 48 64 0.15
+8 0 2 0 0 38 48 64 0.3
+8 0 2 0 0 39 48 64 0.450000000000001
+8 0 2 0 0 40 48 64 0.600000000000001
+8 0 2 0 0 41 48 64 0.750000000000001
+8 0 2 0 0 42 48 64 0.900000000000001
+8 0 2 0 0 43 48 64 1.05
+8 0 2 0 0 44 48 64 1.2
+8 0 2 0 0 45 48 64 1.35
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 -2.7
+8 0 1 0 0 20 48 64 -2.4
+8 0 1 0 0 22 48 64 -2.1
+8 0 1 0 0 24 48 64 -1.8
+8 0 1 0 0 26 48 64 -1.5
+8 0 1 0 0 28 48 64 -1.2
+8 0 1 0 0 30 48 64 -0.9
+8 0 1 0 0 32 48 64 -0.6
+8 0 1 0 0 34 48 64 -0.3
+8 0 1 0 0 36 48 64 4.44089209850063e-16
+8 0 1 0 0 38 48 64 0.3
+8 0 1 0 0 40 48 64 0.600000000000001
+8 0 1 0 0 42 48 64 0.900000000000001
+8 0 1 0 0 44 48 64 1.2
+8 0 1 0 0 46 48 64 1.5
+8 0 1 0 0 48 48 64 1.8
+8 0 1 0 0 50 48 64 2.1
+8 0 1 0 0 52 48 64 2.4
+8 0 1 0 0 54 48 64 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -5.4
+8 0 0 0 0 4 48 64 -4.8
+8 0 0 0 0 8 48 64 -4.2
+8 0 0 0 0 12 48 64 -3.6
+8 0 0 0 0 16 48 64 -3
+8 0 0 0 0 20 48 64 -2.4
+8 0 0 0 0 24 48 64 -1.8
+8 0 0 0 0 28 48 64 -1.2
+8 0 0 0 0 32 48 64 -0.6
+8 0 0 0 0 36 48 64 4.44089209850063e-16
+8 0 0 0 0 40 48 64 0.600000000000001
+8 0 0 0 0 44 48 64 1.2
+8 0 0 0 0 48 48 64 1.8
+8 0 0 0 0 52 48 64 2.4
+8 0 0 0 0 56 48 64 3
+8 0 0 0 0 60 48 64 3.6
+8 0 0 0 0 64 48 64 4.2
+8 0 0 0 0 68 48 64 4.8
+8 0 0 0 0 72 48 64 5.4
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 -1.35
+9 0 2 0 0 28 48 64 -1.2
+9 0 2 0 0 29 48 64 -1.05
+9 0 2 0 0 30 48 64 -0.9
+9 0 2 0 0 31 48 64 -0.75
+9 0 2 0 0 32 48 64 -0.6
+9 0 2 0 0 33 48 64 -0.45
+9 0 2 0 0 34 48 64 -0.3
+9 0 2 0 0 35 48 64 -0.15
+9 0 2 0 0 36 48 64 4.44089209850063e-16
+9 0 2 0 0 37 48 64 0.15
+9 0 2 0 0 38 48 64 0.3
+9 0 2 0 0 39 48 64 0.450000000000001
+9 0 2 0 0 40 48 64 0.600000000000001
+9 0 2 0 0 41 48 64 0.750000000000001
+9 0 2 0 0 42 48 64 0.900000000000001
+9 0 2 0 0 43 48 64 1.05
+9 0 2 0 0 44 48 64 1.2
+9 0 2 0 0 45 48 64 1.35
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 -1.35
+10 0 2 0 0 28 48 64 -1.2
+10 0 2 0 0 29 48 64 -1.05
+10 0 2 0 0 30 48 64 -0.9
+10 0 2 0 0 31 48 64 -0.75
+10 0 2 0 0 32 48 64 -0.6
+10 0 2 0 0 33 48 64 -0.45
+10 0 2 0 0 34 48 64 -0.3
+10 0 2 0 0 35 48 64 -0.15
+10 0 2 0 0 36 48 64 4.44089209850063e-16
+10 0 2 0 0 37 48 64 0.15
+10 0 2 0 0 38 48 64 0.3
+10 0 2 0 0 39 48 64 0.450000000000001
+10 0 2 0 0 40 48 64 0.600000000000001
+10 0 2 0 0 41 48 64 0.750000000000001
+10 0 2 0 0 42 48 64 0.900000000000001
+10 0 2 0 0 43 48 64 1.05
+10 0 2 0 0 44 48 64 1.2
+10 0 2 0 0 45 48 64 1.35
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 -2.7
+10 0 1 0 0 20 48 64 -2.4
+10 0 1 0 0 22 48 64 -2.1
+10 0 1 0 0 24 48 64 -1.8
+10 0 1 0 0 26 48 64 -1.5
+10 0 1 0 0 28 48 64 -1.2
+10 0 1 0 0 30 48 64 -0.9
+10 0 1 0 0 32 48 64 -0.6
+10 0 1 0 0 34 48 64 -0.3
+10 0 1 0 0 36 48 64 4.44089209850063e-16
+10 0 1 0 0 38 48 64 0.3
+10 0 1 0 0 40 48 64 0.600000000000001
+10 0 1 0 0 42 48 64 0.900000000000001
+10 0 1 0 0 44 48 64 1.2
+10 0 1 0 0 46 48 64 1.5
+10 0 1 0 0 48 48 64 1.8
+10 0 1 0 0 50 48 64 2.1
+10 0 1 0 0 52 48 64 2.4
+10 0 1 0 0 54 48 64 2.7
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 -1.35
+11 0 2 0 0 28 48 64 -1.2
+11 0 2 0 0 29 48 64 -1.05
+11 0 2 0 0 30 48 64 -0.9
+11 0 2 0 0 31 48 64 -0.75
+11 0 2 0 0 32 48 64 -0.6
+11 0 2 0 0 33 48 64 -0.45
+11 0 2 0 0 34 48 64 -0.3
+11 0 2 0 0 35 48 64 -0.15
+11 0 2 0 0 36 48 64 4.44089209850063e-16
+11 0 2 0 0 37 48 64 0.15
+11 0 2 0 0 38 48 64 0.3
+11 0 2 0 0 39 48 64 0.450000000000001
+11 0 2 0 0 40 48 64 0.600000000000001
+11 0 2 0 0 41 48 64 0.750000000000001
+11 0 2 0 0 42 48 64 0.900000000000001
+11 0 2 0 0 43 48 64 1.05
+11 0 2 0 0 44 48 64 1.2
+11 0 2 0 0 45 48 64 1.35
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 -1.35
+12 0 2 0 0 28 48 64 -1.2
+12 0 2 0 0 29 48 64 -1.05
+12 0 2 0 0 30 48 64 -0.9
+12 0 2 0 0 31 48 64 -0.75
+12 0 2 0 0 32 48 64 -0.6
+12 0 2 0 0 33 48 64 -0.45
+12 0 2 0 0 34 48 64 -0.3
+12 0 2 0 0 35 48 64 -0.15
+12 0 2 0 0 36 48 64 4.44089209850063e-16
+12 0 2 0 0 37 48 64 0.15
+12 0 2 0 0 38 48 64 0.3
+12 0 2 0 0 39 48 64 0.450000000000001
+12 0 2 0 0 40 48 64 0.600000000000001
+12 0 2 0 0 41 48 64 0.750000000000001
+12 0 2 0 0 42 48 64 0.900000000000001
+12 0 2 0 0 43 48 64 1.05
+12 0 2 0 0 44 48 64 1.2
+12 0 2 0 0 45 48 64 1.35
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 -2.7
+12 0 1 0 0 20 48 64 -2.4
+12 0 1 0 0 22 48 64 -2.1
+12 0 1 0 0 24 48 64 -1.8
+12 0 1 0 0 26 48 64 -1.5
+12 0 1 0 0 28 48 64 -1.2
+12 0 1 0 0 30 48 64 -0.9
+12 0 1 0 0 32 48 64 -0.6
+12 0 1 0 0 34 48 64 -0.3
+12 0 1 0 0 36 48 64 4.44089209850063e-16
+12 0 1 0 0 38 48 64 0.3
+12 0 1 0 0 40 48 64 0.600000000000001
+12 0 1 0 0 42 48 64 0.900000000000001
+12 0 1 0 0 44 48 64 1.2
+12 0 1 0 0 46 48 64 1.5
+12 0 1 0 0 48 48 64 1.8
+12 0 1 0 0 50 48 64 2.1
+12 0 1 0 0 52 48 64 2.4
+12 0 1 0 0 54 48 64 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -5.4
+12 0 0 0 0 4 48 64 -4.8
+12 0 0 0 0 8 48 64 -4.2
+12 0 0 0 0 12 48 64 -3.6
+12 0 0 0 0 16 48 64 -3
+12 0 0 0 0 20 48 64 -2.4
+12 0 0 0 0 24 48 64 -1.8
+12 0 0 0 0 28 48 64 -1.2
+12 0 0 0 0 32 48 64 -0.6
+12 0 0 0 0 36 48 64 4.44089209850063e-16
+12 0 0 0 0 40 48 64 0.600000000000001
+12 0 0 0 0 44 48 64 1.2
+12 0 0 0 0 48 48 64 1.8
+12 0 0 0 0 52 48 64 2.4
+12 0 0 0 0 56 48 64 3
+12 0 0 0 0 60 48 64 3.6
+12 0 0 0 0 64 48 64 4.2
+12 0 0 0 0 68 48 64 4.8
+12 0 0 0 0 72 48 64 5.4
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 -1.35
+13 0 2 0 0 28 48 64 -1.2
+13 0 2 0 0 29 48 64 -1.05
+13 0 2 0 0 30 48 64 -0.9
+13 0 2 0 0 31 48 64 -0.75
+13 0 2 0 0 32 48 64 -0.6
+13 0 2 0 0 33 48 64 -0.45
+13 0 2 0 0 34 48 64 -0.3
+13 0 2 0 0 35 48 64 -0.15
+13 0 2 0 0 36 48 64 4.44089209850063e-16
+13 0 2 0 0 37 48 64 0.15
+13 0 2 0 0 38 48 64 0.3
+13 0 2 0 0 39 48 64 0.450000000000001
+13 0 2 0 0 40 48 64 0.600000000000001
+13 0 2 0 0 41 48 64 0.750000000000001
+13 0 2 0 0 42 48 64 0.900000000000001
+13 0 2 0 0 43 48 64 1.05
+13 0 2 0 0 44 48 64 1.2
+13 0 2 0 0 45 48 64 1.35
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 -1.35
+14 0 2 0 0 28 48 64 -1.2
+14 0 2 0 0 29 48 64 -1.05
+14 0 2 0 0 30 48 64 -0.9
+14 0 2 0 0 31 48 64 -0.75
+14 0 2 0 0 32 48 64 -0.6
+14 0 2 0 0 33 48 64 -0.45
+14 0 2 0 0 34 48 64 -0.3
+14 0 2 0 0 35 48 64 -0.15
+14 0 2 0 0 36 48 64 4.44089209850063e-16
+14 0 2 0 0 37 48 64 0.15
+14 0 2 0 0 38 48 64 0.3
+14 0 2 0 0 39 48 64 0.450000000000001
+14 0 2 0 0 40 48 64 0.600000000000001
+14 0 2 0 0 41 48 64 0.750000000000001
+14 0 2 0 0 42 48 64 0.900000000000001
+14 0 2 0 0 43 48 64 1.05
+14 0 2 0 0 44 48 64 1.2
+14 0 2 0 0 45 48 64 1.35
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 -2.7
+14 0 1 0 0 20 48 64 -2.4
+14 0 1 0 0 22 48 64 -2.1
+14 0 1 0 0 24 48 64 -1.8
+14 0 1 0 0 26 48 64 -1.5
+14 0 1 0 0 28 48 64 -1.2
+14 0 1 0 0 30 48 64 -0.9
+14 0 1 0 0 32 48 64 -0.6
+14 0 1 0 0 34 48 64 -0.3
+14 0 1 0 0 36 48 64 4.44089209850063e-16
+14 0 1 0 0 38 48 64 0.3
+14 0 1 0 0 40 48 64 0.600000000000001
+14 0 1 0 0 42 48 64 0.900000000000001
+14 0 1 0 0 44 48 64 1.2
+14 0 1 0 0 46 48 64 1.5
+14 0 1 0 0 48 48 64 1.8
+14 0 1 0 0 50 48 64 2.1
+14 0 1 0 0 52 48 64 2.4
+14 0 1 0 0 54 48 64 2.7
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 -1.35
+15 0 2 0 0 28 48 64 -1.2
+15 0 2 0 0 29 48 64 -1.05
+15 0 2 0 0 30 48 64 -0.9
+15 0 2 0 0 31 48 64 -0.75
+15 0 2 0 0 32 48 64 -0.6
+15 0 2 0 0 33 48 64 -0.45
+15 0 2 0 0 34 48 64 -0.3
+15 0 2 0 0 35 48 64 -0.15
+15 0 2 0 0 36 48 64 4.44089209850063e-16
+15 0 2 0 0 37 48 64 0.15
+15 0 2 0 0 38 48 64 0.3
+15 0 2 0 0 39 48 64 0.450000000000001
+15 0 2 0 0 40 48 64 0.600000000000001
+15 0 2 0 0 41 48 64 0.750000000000001
+15 0 2 0 0 42 48 64 0.900000000000001
+15 0 2 0 0 43 48 64 1.05
+15 0 2 0 0 44 48 64 1.2
+15 0 2 0 0 45 48 64 1.35
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 -1.35
+16 0 2 0 0 28 48 64 -1.2
+16 0 2 0 0 29 48 64 -1.05
+16 0 2 0 0 30 48 64 -0.9
+16 0 2 0 0 31 48 64 -0.75
+16 0 2 0 0 32 48 64 -0.6
+16 0 2 0 0 33 48 64 -0.45
+16 0 2 0 0 34 48 64 -0.3
+16 0 2 0 0 35 48 64 -0.15
+16 0 2 0 0 36 48 64 4.44089209850063e-16
+16 0 2 0 0 37 48 64 0.15
+16 0 2 0 0 38 48 64 0.3
+16 0 2 0 0 39 48 64 0.450000000000001
+16 0 2 0 0 40 48 64 0.600000000000001
+16 0 2 0 0 41 48 64 0.750000000000001
+16 0 2 0 0 42 48 64 0.900000000000001
+16 0 2 0 0 43 48 64 1.05
+16 0 2 0 0 44 48 64 1.2
+16 0 2 0 0 45 48 64 1.35
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 -2.7
+16 0 1 0 0 20 48 64 -2.4
+16 0 1 0 0 22 48 64 -2.1
+16 0 1 0 0 24 48 64 -1.8
+16 0 1 0 0 26 48 64 -1.5
+16 0 1 0 0 28 48 64 -1.2
+16 0 1 0 0 30 48 64 -0.9
+16 0 1 0 0 32 48 64 -0.6
+16 0 1 0 0 34 48 64 -0.3
+16 0 1 0 0 36 48 64 4.44089209850063e-16
+16 0 1 0 0 38 48 64 0.3
+16 0 1 0 0 40 48 64 0.600000000000001
+16 0 1 0 0 42 48 64 0.900000000000001
+16 0 1 0 0 44 48 64 1.2
+16 0 1 0 0 46 48 64 1.5
+16 0 1 0 0 48 48 64 1.8
+16 0 1 0 0 50 48 64 2.1
+16 0 1 0 0 52 48 64 2.4
+16 0 1 0 0 54 48 64 2.7
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -5.4
+16 0 0 0 0 4 48 64 -4.8
+16 0 0 0 0 8 48 64 -4.2
+16 0 0 0 0 12 48 64 -3.6
+16 0 0 0 0 16 48 64 -3
+16 0 0 0 0 20 48 64 -2.4
+16 0 0 0 0 24 48 64 -1.8
+16 0 0 0 0 28 48 64 -1.2
+16 0 0 0 0 32 48 64 -0.6
+16 0 0 0 0 36 48 64 4.44089209850063e-16
+16 0 0 0 0 40 48 64 0.600000000000001
+16 0 0 0 0 44 48 64 1.2
+16 0 0 0 0 48 48 64 1.8
+16 0 0 0 0 52 48 64 2.4
+16 0 0 0 0 56 48 64 3
+16 0 0 0 0 60 48 64 3.6
+16 0 0 0 0 64 48 64 4.2
+16 0 0 0 0 68 48 64 4.8
+16 0 0 0 0 72 48 64 5.4
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 -1.35
+17 0 2 0 0 28 48 64 -1.2
+17 0 2 0 0 29 48 64 -1.05
+17 0 2 0 0 30 48 64 -0.9
+17 0 2 0 0 31 48 64 -0.75
+17 0 2 0 0 32 48 64 -0.6
+17 0 2 0 0 33 48 64 -0.45
+17 0 2 0 0 34 48 64 -0.3
+17 0 2 0 0 35 48 64 -0.15
+17 0 2 0 0 36 48 64 4.44089209850063e-16
+17 0 2 0 0 37 48 64 0.15
+17 0 2 0 0 38 48 64 0.3
+17 0 2 0 0 39 48 64 0.450000000000001
+17 0 2 0 0 40 48 64 0.600000000000001
+17 0 2 0 0 41 48 64 0.750000000000001
+17 0 2 0 0 42 48 64 0.900000000000001
+17 0 2 0 0 43 48 64 1.05
+17 0 2 0 0 44 48 64 1.2
+17 0 2 0 0 45 48 64 1.35
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 -1.35
+18 0 2 0 0 28 48 64 -1.2
+18 0 2 0 0 29 48 64 -1.05
+18 0 2 0 0 30 48 64 -0.9
+18 0 2 0 0 31 48 64 -0.75
+18 0 2 0 0 32 48 64 -0.6
+18 0 2 0 0 33 48 64 -0.45
+18 0 2 0 0 34 48 64 -0.3
+18 0 2 0 0 35 48 64 -0.15
+18 0 2 0 0 36 48 64 4.44089209850063e-16
+18 0 2 0 0 37 48 64 0.15
+18 0 2 0 0 38 48 64 0.3
+18 0 2 0 0 39 48 64 0.450000000000001
+18 0 2 0 0 40 48 64 0.600000000000001
+18 0 2 0 0 41 48 64 0.750000000000001
+18 0 2 0 0 42 48 64 0.900000000000001
+18 0 2 0 0 43 48 64 1.05
+18 0 2 0 0 44 48 64 1.2
+18 0 2 0 0 45 48 64 1.35
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 -2.7
+18 0 1 0 0 20 48 64 -2.4
+18 0 1 0 0 22 48 64 -2.1
+18 0 1 0 0 24 48 64 -1.8
+18 0 1 0 0 26 48 64 -1.5
+18 0 1 0 0 28 48 64 -1.2
+18 0 1 0 0 30 48 64 -0.9
+18 0 1 0 0 32 48 64 -0.6
+18 0 1 0 0 34 48 64 -0.3
+18 0 1 0 0 36 48 64 4.44089209850063e-16
+18 0 1 0 0 38 48 64 0.3
+18 0 1 0 0 40 48 64 0.600000000000001
+18 0 1 0 0 42 48 64 0.900000000000001
+18 0 1 0 0 44 48 64 1.2
+18 0 1 0 0 46 48 64 1.5
+18 0 1 0 0 48 48 64 1.8
+18 0 1 0 0 50 48 64 2.1
+18 0 1 0 0 52 48 64 2.4
+18 0 1 0 0 54 48 64 2.7
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 -1.35
+19 0 2 0 0 28 48 64 -1.2
+19 0 2 0 0 29 48 64 -1.05
+19 0 2 0 0 30 48 64 -0.9
+19 0 2 0 0 31 48 64 -0.75
+19 0 2 0 0 32 48 64 -0.6
+19 0 2 0 0 33 48 64 -0.45
+19 0 2 0 0 34 48 64 -0.3
+19 0 2 0 0 35 48 64 -0.15
+19 0 2 0 0 36 48 64 4.44089209850063e-16
+19 0 2 0 0 37 48 64 0.15
+19 0 2 0 0 38 48 64 0.3
+19 0 2 0 0 39 48 64 0.450000000000001
+19 0 2 0 0 40 48 64 0.600000000000001
+19 0 2 0 0 41 48 64 0.750000000000001
+19 0 2 0 0 42 48 64 0.900000000000001
+19 0 2 0 0 43 48 64 1.05
+19 0 2 0 0 44 48 64 1.2
+19 0 2 0 0 45 48 64 1.35
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 -1.35
+20 0 2 0 0 28 48 64 -1.2
+20 0 2 0 0 29 48 64 -1.05
+20 0 2 0 0 30 48 64 -0.9
+20 0 2 0 0 31 48 64 -0.75
+20 0 2 0 0 32 48 64 -0.6
+20 0 2 0 0 33 48 64 -0.45
+20 0 2 0 0 34 48 64 -0.3
+20 0 2 0 0 35 48 64 -0.15
+20 0 2 0 0 36 48 64 4.44089209850063e-16
+20 0 2 0 0 37 48 64 0.15
+20 0 2 0 0 38 48 64 0.3
+20 0 2 0 0 39 48 64 0.450000000000001
+20 0 2 0 0 40 48 64 0.600000000000001
+20 0 2 0 0 41 48 64 0.750000000000001
+20 0 2 0 0 42 48 64 0.900000000000001
+20 0 2 0 0 43 48 64 1.05
+20 0 2 0 0 44 48 64 1.2
+20 0 2 0 0 45 48 64 1.35
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 -2.7
+20 0 1 0 0 20 48 64 -2.4
+20 0 1 0 0 22 48 64 -2.1
+20 0 1 0 0 24 48 64 -1.8
+20 0 1 0 0 26 48 64 -1.5
+20 0 1 0 0 28 48 64 -1.2
+20 0 1 0 0 30 48 64 -0.9
+20 0 1 0 0 32 48 64 -0.6
+20 0 1 0 0 34 48 64 -0.3
+20 0 1 0 0 36 48 64 4.44089209850063e-16
+20 0 1 0 0 38 48 64 0.3
+20 0 1 0 0 40 48 64 0.600000000000001
+20 0 1 0 0 42 48 64 0.900000000000001
+20 0 1 0 0 44 48 64 1.2
+20 0 1 0 0 46 48 64 1.5
+20 0 1 0 0 48 48 64 1.8
+20 0 1 0 0 50 48 64 2.1
+20 0 1 0 0 52 48 64 2.4
+20 0 1 0 0 54 48 64 2.7
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -5.4
+20 0 0 0 0 4 48 64 -4.8
+20 0 0 0 0 8 48 64 -4.2
+20 0 0 0 0 12 48 64 -3.6
+20 0 0 0 0 16 48 64 -3
+20 0 0 0 0 20 48 64 -2.4
+20 0 0 0 0 24 48 64 -1.8
+20 0 0 0 0 28 48 64 -1.2
+20 0 0 0 0 32 48 64 -0.6
+20 0 0 0 0 36 48 64 4.44089209850063e-16
+20 0 0 0 0 40 48 64 0.600000000000001
+20 0 0 0 0 44 48 64 1.2
+20 0 0 0 0 48 48 64 1.8
+20 0 0 0 0 52 48 64 2.4
+20 0 0 0 0 56 48 64 3
+20 0 0 0 0 60 48 64 3.6
+20 0 0 0 0 64 48 64 4.2
+20 0 0 0 0 68 48 64 4.8
+20 0 0 0 0 72 48 64 5.4
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 -1.35
+21 0 2 0 0 28 48 64 -1.2
+21 0 2 0 0 29 48 64 -1.05
+21 0 2 0 0 30 48 64 -0.9
+21 0 2 0 0 31 48 64 -0.75
+21 0 2 0 0 32 48 64 -0.6
+21 0 2 0 0 33 48 64 -0.45
+21 0 2 0 0 34 48 64 -0.3
+21 0 2 0 0 35 48 64 -0.15
+21 0 2 0 0 36 48 64 4.44089209850063e-16
+21 0 2 0 0 37 48 64 0.15
+21 0 2 0 0 38 48 64 0.3
+21 0 2 0 0 39 48 64 0.450000000000001
+21 0 2 0 0 40 48 64 0.600000000000001
+21 0 2 0 0 41 48 64 0.750000000000001
+21 0 2 0 0 42 48 64 0.900000000000001
+21 0 2 0 0 43 48 64 1.05
+21 0 2 0 0 44 48 64 1.2
+21 0 2 0 0 45 48 64 1.35
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 -1.35
+22 0 2 0 0 28 48 64 -1.2
+22 0 2 0 0 29 48 64 -1.05
+22 0 2 0 0 30 48 64 -0.9
+22 0 2 0 0 31 48 64 -0.75
+22 0 2 0 0 32 48 64 -0.6
+22 0 2 0 0 33 48 64 -0.45
+22 0 2 0 0 34 48 64 -0.3
+22 0 2 0 0 35 48 64 -0.15
+22 0 2 0 0 36 48 64 4.44089209850063e-16
+22 0 2 0 0 37 48 64 0.15
+22 0 2 0 0 38 48 64 0.3
+22 0 2 0 0 39 48 64 0.450000000000001
+22 0 2 0 0 40 48 64 0.600000000000001
+22 0 2 0 0 41 48 64 0.750000000000001
+22 0 2 0 0 42 48 64 0.900000000000001
+22 0 2 0 0 43 48 64 1.05
+22 0 2 0 0 44 48 64 1.2
+22 0 2 0 0 45 48 64 1.35
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 -2.7
+22 0 1 0 0 20 48 64 -2.4
+22 0 1 0 0 22 48 64 -2.1
+22 0 1 0 0 24 48 64 -1.8
+22 0 1 0 0 26 48 64 -1.5
+22 0 1 0 0 28 48 64 -1.2
+22 0 1 0 0 30 48 64 -0.9
+22 0 1 0 0 32 48 64 -0.6
+22 0 1 0 0 34 48 64 -0.3
+22 0 1 0 0 36 48 64 4.44089209850063e-16
+22 0 1 0 0 38 48 64 0.3
+22 0 1 0 0 40 48 64 0.600000000000001
+22 0 1 0 0 42 48 64 0.900000000000001
+22 0 1 0 0 44 48 64 1.2
+22 0 1 0 0 46 48 64 1.5
+22 0 1 0 0 48 48 64 1.8
+22 0 1 0 0 50 48 64 2.1
+22 0 1 0 0 52 48 64 2.4
+22 0 1 0 0 54 48 64 2.7
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 -1.35
+23 0 2 0 0 28 48 64 -1.2
+23 0 2 0 0 29 48 64 -1.05
+23 0 2 0 0 30 48 64 -0.9
+23 0 2 0 0 31 48 64 -0.75
+23 0 2 0 0 32 48 64 -0.6
+23 0 2 0 0 33 48 64 -0.45
+23 0 2 0 0 34 48 64 -0.3
+23 0 2 0 0 35 48 64 -0.15
+23 0 2 0 0 36 48 64 4.44089209850063e-16
+23 0 2 0 0 37 48 64 0.15
+23 0 2 0 0 38 48 64 0.3
+23 0 2 0 0 39 48 64 0.450000000000001
+23 0 2 0 0 40 48 64 0.600000000000001
+23 0 2 0 0 41 48 64 0.750000000000001
+23 0 2 0 0 42 48 64 0.900000000000001
+23 0 2 0 0 43 48 64 1.05
+23 0 2 0 0 44 48 64 1.2
+23 0 2 0 0 45 48 64 1.35
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 -1.35
+24 0 2 0 0 28 48 64 -1.2
+24 0 2 0 0 29 48 64 -1.05
+24 0 2 0 0 30 48 64 -0.9
+24 0 2 0 0 31 48 64 -0.75
+24 0 2 0 0 32 48 64 -0.6
+24 0 2 0 0 33 48 64 -0.45
+24 0 2 0 0 34 48 64 -0.3
+24 0 2 0 0 35 48 64 -0.15
+24 0 2 0 0 36 48 64 4.44089209850063e-16
+24 0 2 0 0 37 48 64 0.15
+24 0 2 0 0 38 48 64 0.3
+24 0 2 0 0 39 48 64 0.450000000000001
+24 0 2 0 0 40 48 64 0.600000000000001
+24 0 2 0 0 41 48 64 0.750000000000001
+24 0 2 0 0 42 48 64 0.900000000000001
+24 0 2 0 0 43 48 64 1.05
+24 0 2 0 0 44 48 64 1.2
+24 0 2 0 0 45 48 64 1.35
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 -2.7
+24 0 1 0 0 20 48 64 -2.4
+24 0 1 0 0 22 48 64 -2.1
+24 0 1 0 0 24 48 64 -1.8
+24 0 1 0 0 26 48 64 -1.5
+24 0 1 0 0 28 48 64 -1.2
+24 0 1 0 0 30 48 64 -0.9
+24 0 1 0 0 32 48 64 -0.6
+24 0 1 0 0 34 48 64 -0.3
+24 0 1 0 0 36 48 64 4.44089209850063e-16
+24 0 1 0 0 38 48 64 0.3
+24 0 1 0 0 40 48 64 0.600000000000001
+24 0 1 0 0 42 48 64 0.900000000000001
+24 0 1 0 0 44 48 64 1.2
+24 0 1 0 0 46 48 64 1.5
+24 0 1 0 0 48 48 64 1.8
+24 0 1 0 0 50 48 64 2.1
+24 0 1 0 0 52 48 64 2.4
+24 0 1 0 0 54 48 64 2.7
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -5.4
+24 0 0 0 0 4 48 64 -4.8
+24 0 0 0 0 8 48 64 -4.2
+24 0 0 0 0 12 48 64 -3.6
+24 0 0 0 0 16 48 64 -3
+24 0 0 0 0 20 48 64 -2.4
+24 0 0 0 0 24 48 64 -1.8
+24 0 0 0 0 28 48 64 -1.2
+24 0 0 0 0 32 48 64 -0.6
+24 0 0 0 0 36 48 64 4.44089209850063e-16
+24 0 0 0 0 40 48 64 0.600000000000001
+24 0 0 0 0 44 48 64 1.2
+24 0 0 0 0 48 48 64 1.8
+24 0 0 0 0 52 48 64 2.4
+24 0 0 0 0 56 48 64 3
+24 0 0 0 0 60 48 64 3.6
+24 0 0 0 0 64 48 64 4.2
+24 0 0 0 0 68 48 64 4.8
+24 0 0 0 0 72 48 64 5.4
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.yl
new file mode 100644
index 000000000..a918a2185
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.yl
@@ -0,0 +1,1397 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 4.44089209850063e-16
+0 0 2 0 0 36 40 64 4.44089209850063e-16
+0 0 2 0 0 36 41 64 4.44089209850063e-16
+0 0 2 0 0 36 42 64 4.44089209850063e-16
+0 0 2 0 0 36 43 64 4.44089209850063e-16
+0 0 2 0 0 36 44 64 4.44089209850063e-16
+0 0 2 0 0 36 45 64 4.44089209850063e-16
+0 0 2 0 0 36 46 64 4.44089209850063e-16
+0 0 2 0 0 36 47 64 4.44089209850063e-16
+0 0 2 0 0 36 48 64 4.44089209850063e-16
+0 0 2 0 0 36 49 64 4.44089209850063e-16
+0 0 2 0 0 36 50 64 4.44089209850063e-16
+0 0 2 0 0 36 51 64 4.44089209850063e-16
+0 0 2 0 0 36 52 64 4.44089209850063e-16
+0 0 2 0 0 36 53 64 4.44089209850063e-16
+0 0 2 0 0 36 54 64 4.44089209850063e-16
+0 0 2 0 0 36 55 64 4.44089209850063e-16
+0 0 2 0 0 36 56 64 4.44089209850063e-16
+0 0 2 0 0 36 57 64 4.44089209850063e-16
+0 0 2 0 0 36 58 64 4.44089209850063e-16
+0 0 2 0 0 36 59 64 4.44089209850063e-16
+0 0 2 0 0 36 60 64 4.44089209850063e-16
+0 0 2 0 0 36 61 64 4.44089209850063e-16
+0 0 2 0 0 36 62 64 4.44089209850063e-16
+0 0 2 0 0 36 63 64 4.44089209850063e-16
+0 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 4.44089209850063e-16
+0 0 1 0 0 36 28 64 4.44089209850063e-16
+0 0 1 0 0 36 30 64 4.44089209850063e-16
+0 0 1 0 0 36 32 64 4.44089209850063e-16
+0 0 1 0 0 36 34 64 4.44089209850063e-16
+0 0 1 0 0 36 36 64 4.44089209850063e-16
+0 0 1 0 0 36 38 64 4.44089209850063e-16
+0 0 1 0 0 36 40 64 4.44089209850063e-16
+0 0 1 0 0 36 42 64 4.44089209850063e-16
+0 0 1 0 0 36 44 64 4.44089209850063e-16
+0 0 1 0 0 36 46 64 4.44089209850063e-16
+0 0 1 0 0 36 48 64 4.44089209850063e-16
+0 0 1 0 0 36 50 64 4.44089209850063e-16
+0 0 1 0 0 36 52 64 4.44089209850063e-16
+0 0 1 0 0 36 54 64 4.44089209850063e-16
+0 0 1 0 0 36 56 64 4.44089209850063e-16
+0 0 1 0 0 36 58 64 4.44089209850063e-16
+0 0 1 0 0 36 60 64 4.44089209850063e-16
+0 0 1 0 0 36 62 64 4.44089209850063e-16
+0 0 1 0 0 36 64 64 4.44089209850063e-16
+0 0 1 0 0 36 66 64 4.44089209850063e-16
+0 0 1 0 0 36 68 64 4.44089209850063e-16
+0 0 1 0 0 36 70 64 4.44089209850063e-16
+0 0 1 0 0 36 72 64 4.44089209850063e-16
+0 0 1 0 0 36 74 64 4.44089209850063e-16
+0 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 4.44089209850063e-16
+0 0 0 0 0 36 4 64 4.44089209850063e-16
+0 0 0 0 0 36 8 64 4.44089209850063e-16
+0 0 0 0 0 36 12 64 4.44089209850063e-16
+0 0 0 0 0 36 16 64 4.44089209850063e-16
+0 0 0 0 0 36 20 64 4.44089209850063e-16
+0 0 0 0 0 36 24 64 4.44089209850063e-16
+0 0 0 0 0 36 28 64 4.44089209850063e-16
+0 0 0 0 0 36 32 64 4.44089209850063e-16
+0 0 0 0 0 36 36 64 4.44089209850063e-16
+0 0 0 0 0 36 40 64 4.44089209850063e-16
+0 0 0 0 0 36 44 64 4.44089209850063e-16
+0 0 0 0 0 36 48 64 4.44089209850063e-16
+0 0 0 0 0 36 52 64 4.44089209850063e-16
+0 0 0 0 0 36 56 64 4.44089209850063e-16
+0 0 0 0 0 36 60 64 4.44089209850063e-16
+0 0 0 0 0 36 64 64 4.44089209850063e-16
+0 0 0 0 0 36 68 64 4.44089209850063e-16
+0 0 0 0 0 36 72 64 4.44089209850063e-16
+0 0 0 0 0 36 76 64 4.44089209850063e-16
+0 0 0 0 0 36 80 64 4.44089209850063e-16
+0 0 0 0 0 36 84 64 4.44089209850063e-16
+0 0 0 0 0 36 88 64 4.44089209850063e-16
+0 0 0 0 0 36 92 64 4.44089209850063e-16
+0 0 0 0 0 36 96 64 4.44089209850063e-16
+0 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 4.44089209850063e-16
+1 0 2 0 0 36 40 64 4.44089209850063e-16
+1 0 2 0 0 36 41 64 4.44089209850063e-16
+1 0 2 0 0 36 42 64 4.44089209850063e-16
+1 0 2 0 0 36 43 64 4.44089209850063e-16
+1 0 2 0 0 36 44 64 4.44089209850063e-16
+1 0 2 0 0 36 45 64 4.44089209850063e-16
+1 0 2 0 0 36 46 64 4.44089209850063e-16
+1 0 2 0 0 36 47 64 4.44089209850063e-16
+1 0 2 0 0 36 48 64 4.44089209850063e-16
+1 0 2 0 0 36 49 64 4.44089209850063e-16
+1 0 2 0 0 36 50 64 4.44089209850063e-16
+1 0 2 0 0 36 51 64 4.44089209850063e-16
+1 0 2 0 0 36 52 64 4.44089209850063e-16
+1 0 2 0 0 36 53 64 4.44089209850063e-16
+1 0 2 0 0 36 54 64 4.44089209850063e-16
+1 0 2 0 0 36 55 64 4.44089209850063e-16
+1 0 2 0 0 36 56 64 4.44089209850063e-16
+1 0 2 0 0 36 57 64 4.44089209850063e-16
+1 0 2 0 0 36 58 64 4.44089209850063e-16
+1 0 2 0 0 36 59 64 4.44089209850063e-16
+1 0 2 0 0 36 60 64 4.44089209850063e-16
+1 0 2 0 0 36 61 64 4.44089209850063e-16
+1 0 2 0 0 36 62 64 4.44089209850063e-16
+1 0 2 0 0 36 63 64 4.44089209850063e-16
+1 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 4.44089209850063e-16
+2 0 2 0 0 36 40 64 4.44089209850063e-16
+2 0 2 0 0 36 41 64 4.44089209850063e-16
+2 0 2 0 0 36 42 64 4.44089209850063e-16
+2 0 2 0 0 36 43 64 4.44089209850063e-16
+2 0 2 0 0 36 44 64 4.44089209850063e-16
+2 0 2 0 0 36 45 64 4.44089209850063e-16
+2 0 2 0 0 36 46 64 4.44089209850063e-16
+2 0 2 0 0 36 47 64 4.44089209850063e-16
+2 0 2 0 0 36 48 64 4.44089209850063e-16
+2 0 2 0 0 36 49 64 4.44089209850063e-16
+2 0 2 0 0 36 50 64 4.44089209850063e-16
+2 0 2 0 0 36 51 64 4.44089209850063e-16
+2 0 2 0 0 36 52 64 4.44089209850063e-16
+2 0 2 0 0 36 53 64 4.44089209850063e-16
+2 0 2 0 0 36 54 64 4.44089209850063e-16
+2 0 2 0 0 36 55 64 4.44089209850063e-16
+2 0 2 0 0 36 56 64 4.44089209850063e-16
+2 0 2 0 0 36 57 64 4.44089209850063e-16
+2 0 2 0 0 36 58 64 4.44089209850063e-16
+2 0 2 0 0 36 59 64 4.44089209850063e-16
+2 0 2 0 0 36 60 64 4.44089209850063e-16
+2 0 2 0 0 36 61 64 4.44089209850063e-16
+2 0 2 0 0 36 62 64 4.44089209850063e-16
+2 0 2 0 0 36 63 64 4.44089209850063e-16
+2 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 4.44089209850063e-16
+2 0 1 0 0 36 28 64 4.44089209850063e-16
+2 0 1 0 0 36 30 64 4.44089209850063e-16
+2 0 1 0 0 36 32 64 4.44089209850063e-16
+2 0 1 0 0 36 34 64 4.44089209850063e-16
+2 0 1 0 0 36 36 64 4.44089209850063e-16
+2 0 1 0 0 36 38 64 4.44089209850063e-16
+2 0 1 0 0 36 40 64 4.44089209850063e-16
+2 0 1 0 0 36 42 64 4.44089209850063e-16
+2 0 1 0 0 36 44 64 4.44089209850063e-16
+2 0 1 0 0 36 46 64 4.44089209850063e-16
+2 0 1 0 0 36 48 64 4.44089209850063e-16
+2 0 1 0 0 36 50 64 4.44089209850063e-16
+2 0 1 0 0 36 52 64 4.44089209850063e-16
+2 0 1 0 0 36 54 64 4.44089209850063e-16
+2 0 1 0 0 36 56 64 4.44089209850063e-16
+2 0 1 0 0 36 58 64 4.44089209850063e-16
+2 0 1 0 0 36 60 64 4.44089209850063e-16
+2 0 1 0 0 36 62 64 4.44089209850063e-16
+2 0 1 0 0 36 64 64 4.44089209850063e-16
+2 0 1 0 0 36 66 64 4.44089209850063e-16
+2 0 1 0 0 36 68 64 4.44089209850063e-16
+2 0 1 0 0 36 70 64 4.44089209850063e-16
+2 0 1 0 0 36 72 64 4.44089209850063e-16
+2 0 1 0 0 36 74 64 4.44089209850063e-16
+2 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 4.44089209850063e-16
+3 0 2 0 0 36 40 64 4.44089209850063e-16
+3 0 2 0 0 36 41 64 4.44089209850063e-16
+3 0 2 0 0 36 42 64 4.44089209850063e-16
+3 0 2 0 0 36 43 64 4.44089209850063e-16
+3 0 2 0 0 36 44 64 4.44089209850063e-16
+3 0 2 0 0 36 45 64 4.44089209850063e-16
+3 0 2 0 0 36 46 64 4.44089209850063e-16
+3 0 2 0 0 36 47 64 4.44089209850063e-16
+3 0 2 0 0 36 48 64 4.44089209850063e-16
+3 0 2 0 0 36 49 64 4.44089209850063e-16
+3 0 2 0 0 36 50 64 4.44089209850063e-16
+3 0 2 0 0 36 51 64 4.44089209850063e-16
+3 0 2 0 0 36 52 64 4.44089209850063e-16
+3 0 2 0 0 36 53 64 4.44089209850063e-16
+3 0 2 0 0 36 54 64 4.44089209850063e-16
+3 0 2 0 0 36 55 64 4.44089209850063e-16
+3 0 2 0 0 36 56 64 4.44089209850063e-16
+3 0 2 0 0 36 57 64 4.44089209850063e-16
+3 0 2 0 0 36 58 64 4.44089209850063e-16
+3 0 2 0 0 36 59 64 4.44089209850063e-16
+3 0 2 0 0 36 60 64 4.44089209850063e-16
+3 0 2 0 0 36 61 64 4.44089209850063e-16
+3 0 2 0 0 36 62 64 4.44089209850063e-16
+3 0 2 0 0 36 63 64 4.44089209850063e-16
+3 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 4.44089209850063e-16
+4 0 2 0 0 36 40 64 4.44089209850063e-16
+4 0 2 0 0 36 41 64 4.44089209850063e-16
+4 0 2 0 0 36 42 64 4.44089209850063e-16
+4 0 2 0 0 36 43 64 4.44089209850063e-16
+4 0 2 0 0 36 44 64 4.44089209850063e-16
+4 0 2 0 0 36 45 64 4.44089209850063e-16
+4 0 2 0 0 36 46 64 4.44089209850063e-16
+4 0 2 0 0 36 47 64 4.44089209850063e-16
+4 0 2 0 0 36 48 64 4.44089209850063e-16
+4 0 2 0 0 36 49 64 4.44089209850063e-16
+4 0 2 0 0 36 50 64 4.44089209850063e-16
+4 0 2 0 0 36 51 64 4.44089209850063e-16
+4 0 2 0 0 36 52 64 4.44089209850063e-16
+4 0 2 0 0 36 53 64 4.44089209850063e-16
+4 0 2 0 0 36 54 64 4.44089209850063e-16
+4 0 2 0 0 36 55 64 4.44089209850063e-16
+4 0 2 0 0 36 56 64 4.44089209850063e-16
+4 0 2 0 0 36 57 64 4.44089209850063e-16
+4 0 2 0 0 36 58 64 4.44089209850063e-16
+4 0 2 0 0 36 59 64 4.44089209850063e-16
+4 0 2 0 0 36 60 64 4.44089209850063e-16
+4 0 2 0 0 36 61 64 4.44089209850063e-16
+4 0 2 0 0 36 62 64 4.44089209850063e-16
+4 0 2 0 0 36 63 64 4.44089209850063e-16
+4 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 4.44089209850063e-16
+4 0 1 0 0 36 28 64 4.44089209850063e-16
+4 0 1 0 0 36 30 64 4.44089209850063e-16
+4 0 1 0 0 36 32 64 4.44089209850063e-16
+4 0 1 0 0 36 34 64 4.44089209850063e-16
+4 0 1 0 0 36 36 64 4.44089209850063e-16
+4 0 1 0 0 36 38 64 4.44089209850063e-16
+4 0 1 0 0 36 40 64 4.44089209850063e-16
+4 0 1 0 0 36 42 64 4.44089209850063e-16
+4 0 1 0 0 36 44 64 4.44089209850063e-16
+4 0 1 0 0 36 46 64 4.44089209850063e-16
+4 0 1 0 0 36 48 64 4.44089209850063e-16
+4 0 1 0 0 36 50 64 4.44089209850063e-16
+4 0 1 0 0 36 52 64 4.44089209850063e-16
+4 0 1 0 0 36 54 64 4.44089209850063e-16
+4 0 1 0 0 36 56 64 4.44089209850063e-16
+4 0 1 0 0 36 58 64 4.44089209850063e-16
+4 0 1 0 0 36 60 64 4.44089209850063e-16
+4 0 1 0 0 36 62 64 4.44089209850063e-16
+4 0 1 0 0 36 64 64 4.44089209850063e-16
+4 0 1 0 0 36 66 64 4.44089209850063e-16
+4 0 1 0 0 36 68 64 4.44089209850063e-16
+4 0 1 0 0 36 70 64 4.44089209850063e-16
+4 0 1 0 0 36 72 64 4.44089209850063e-16
+4 0 1 0 0 36 74 64 4.44089209850063e-16
+4 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 4.44089209850063e-16
+4 0 0 0 0 36 4 64 4.44089209850063e-16
+4 0 0 0 0 36 8 64 4.44089209850063e-16
+4 0 0 0 0 36 12 64 4.44089209850063e-16
+4 0 0 0 0 36 16 64 4.44089209850063e-16
+4 0 0 0 0 36 20 64 4.44089209850063e-16
+4 0 0 0 0 36 24 64 4.44089209850063e-16
+4 0 0 0 0 36 28 64 4.44089209850063e-16
+4 0 0 0 0 36 32 64 4.44089209850063e-16
+4 0 0 0 0 36 36 64 4.44089209850063e-16
+4 0 0 0 0 36 40 64 4.44089209850063e-16
+4 0 0 0 0 36 44 64 4.44089209850063e-16
+4 0 0 0 0 36 48 64 4.44089209850063e-16
+4 0 0 0 0 36 52 64 4.44089209850063e-16
+4 0 0 0 0 36 56 64 4.44089209850063e-16
+4 0 0 0 0 36 60 64 4.44089209850063e-16
+4 0 0 0 0 36 64 64 4.44089209850063e-16
+4 0 0 0 0 36 68 64 4.44089209850063e-16
+4 0 0 0 0 36 72 64 4.44089209850063e-16
+4 0 0 0 0 36 76 64 4.44089209850063e-16
+4 0 0 0 0 36 80 64 4.44089209850063e-16
+4 0 0 0 0 36 84 64 4.44089209850063e-16
+4 0 0 0 0 36 88 64 4.44089209850063e-16
+4 0 0 0 0 36 92 64 4.44089209850063e-16
+4 0 0 0 0 36 96 64 4.44089209850063e-16
+4 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 4.44089209850063e-16
+5 0 2 0 0 36 40 64 4.44089209850063e-16
+5 0 2 0 0 36 41 64 4.44089209850063e-16
+5 0 2 0 0 36 42 64 4.44089209850063e-16
+5 0 2 0 0 36 43 64 4.44089209850063e-16
+5 0 2 0 0 36 44 64 4.44089209850063e-16
+5 0 2 0 0 36 45 64 4.44089209850063e-16
+5 0 2 0 0 36 46 64 4.44089209850063e-16
+5 0 2 0 0 36 47 64 4.44089209850063e-16
+5 0 2 0 0 36 48 64 4.44089209850063e-16
+5 0 2 0 0 36 49 64 4.44089209850063e-16
+5 0 2 0 0 36 50 64 4.44089209850063e-16
+5 0 2 0 0 36 51 64 4.44089209850063e-16
+5 0 2 0 0 36 52 64 4.44089209850063e-16
+5 0 2 0 0 36 53 64 4.44089209850063e-16
+5 0 2 0 0 36 54 64 4.44089209850063e-16
+5 0 2 0 0 36 55 64 4.44089209850063e-16
+5 0 2 0 0 36 56 64 4.44089209850063e-16
+5 0 2 0 0 36 57 64 4.44089209850063e-16
+5 0 2 0 0 36 58 64 4.44089209850063e-16
+5 0 2 0 0 36 59 64 4.44089209850063e-16
+5 0 2 0 0 36 60 64 4.44089209850063e-16
+5 0 2 0 0 36 61 64 4.44089209850063e-16
+5 0 2 0 0 36 62 64 4.44089209850063e-16
+5 0 2 0 0 36 63 64 4.44089209850063e-16
+5 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 4.44089209850063e-16
+6 0 2 0 0 36 40 64 4.44089209850063e-16
+6 0 2 0 0 36 41 64 4.44089209850063e-16
+6 0 2 0 0 36 42 64 4.44089209850063e-16
+6 0 2 0 0 36 43 64 4.44089209850063e-16
+6 0 2 0 0 36 44 64 4.44089209850063e-16
+6 0 2 0 0 36 45 64 4.44089209850063e-16
+6 0 2 0 0 36 46 64 4.44089209850063e-16
+6 0 2 0 0 36 47 64 4.44089209850063e-16
+6 0 2 0 0 36 48 64 4.44089209850063e-16
+6 0 2 0 0 36 49 64 4.44089209850063e-16
+6 0 2 0 0 36 50 64 4.44089209850063e-16
+6 0 2 0 0 36 51 64 4.44089209850063e-16
+6 0 2 0 0 36 52 64 4.44089209850063e-16
+6 0 2 0 0 36 53 64 4.44089209850063e-16
+6 0 2 0 0 36 54 64 4.44089209850063e-16
+6 0 2 0 0 36 55 64 4.44089209850063e-16
+6 0 2 0 0 36 56 64 4.44089209850063e-16
+6 0 2 0 0 36 57 64 4.44089209850063e-16
+6 0 2 0 0 36 58 64 4.44089209850063e-16
+6 0 2 0 0 36 59 64 4.44089209850063e-16
+6 0 2 0 0 36 60 64 4.44089209850063e-16
+6 0 2 0 0 36 61 64 4.44089209850063e-16
+6 0 2 0 0 36 62 64 4.44089209850063e-16
+6 0 2 0 0 36 63 64 4.44089209850063e-16
+6 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 4.44089209850063e-16
+6 0 1 0 0 36 28 64 4.44089209850063e-16
+6 0 1 0 0 36 30 64 4.44089209850063e-16
+6 0 1 0 0 36 32 64 4.44089209850063e-16
+6 0 1 0 0 36 34 64 4.44089209850063e-16
+6 0 1 0 0 36 36 64 4.44089209850063e-16
+6 0 1 0 0 36 38 64 4.44089209850063e-16
+6 0 1 0 0 36 40 64 4.44089209850063e-16
+6 0 1 0 0 36 42 64 4.44089209850063e-16
+6 0 1 0 0 36 44 64 4.44089209850063e-16
+6 0 1 0 0 36 46 64 4.44089209850063e-16
+6 0 1 0 0 36 48 64 4.44089209850063e-16
+6 0 1 0 0 36 50 64 4.44089209850063e-16
+6 0 1 0 0 36 52 64 4.44089209850063e-16
+6 0 1 0 0 36 54 64 4.44089209850063e-16
+6 0 1 0 0 36 56 64 4.44089209850063e-16
+6 0 1 0 0 36 58 64 4.44089209850063e-16
+6 0 1 0 0 36 60 64 4.44089209850063e-16
+6 0 1 0 0 36 62 64 4.44089209850063e-16
+6 0 1 0 0 36 64 64 4.44089209850063e-16
+6 0 1 0 0 36 66 64 4.44089209850063e-16
+6 0 1 0 0 36 68 64 4.44089209850063e-16
+6 0 1 0 0 36 70 64 4.44089209850063e-16
+6 0 1 0 0 36 72 64 4.44089209850063e-16
+6 0 1 0 0 36 74 64 4.44089209850063e-16
+6 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 4.44089209850063e-16
+7 0 2 0 0 36 40 64 4.44089209850063e-16
+7 0 2 0 0 36 41 64 4.44089209850063e-16
+7 0 2 0 0 36 42 64 4.44089209850063e-16
+7 0 2 0 0 36 43 64 4.44089209850063e-16
+7 0 2 0 0 36 44 64 4.44089209850063e-16
+7 0 2 0 0 36 45 64 4.44089209850063e-16
+7 0 2 0 0 36 46 64 4.44089209850063e-16
+7 0 2 0 0 36 47 64 4.44089209850063e-16
+7 0 2 0 0 36 48 64 4.44089209850063e-16
+7 0 2 0 0 36 49 64 4.44089209850063e-16
+7 0 2 0 0 36 50 64 4.44089209850063e-16
+7 0 2 0 0 36 51 64 4.44089209850063e-16
+7 0 2 0 0 36 52 64 4.44089209850063e-16
+7 0 2 0 0 36 53 64 4.44089209850063e-16
+7 0 2 0 0 36 54 64 4.44089209850063e-16
+7 0 2 0 0 36 55 64 4.44089209850063e-16
+7 0 2 0 0 36 56 64 4.44089209850063e-16
+7 0 2 0 0 36 57 64 4.44089209850063e-16
+7 0 2 0 0 36 58 64 4.44089209850063e-16
+7 0 2 0 0 36 59 64 4.44089209850063e-16
+7 0 2 0 0 36 60 64 4.44089209850063e-16
+7 0 2 0 0 36 61 64 4.44089209850063e-16
+7 0 2 0 0 36 62 64 4.44089209850063e-16
+7 0 2 0 0 36 63 64 4.44089209850063e-16
+7 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 4.44089209850063e-16
+8 0 2 0 0 36 40 64 4.44089209850063e-16
+8 0 2 0 0 36 41 64 4.44089209850063e-16
+8 0 2 0 0 36 42 64 4.44089209850063e-16
+8 0 2 0 0 36 43 64 4.44089209850063e-16
+8 0 2 0 0 36 44 64 4.44089209850063e-16
+8 0 2 0 0 36 45 64 4.44089209850063e-16
+8 0 2 0 0 36 46 64 4.44089209850063e-16
+8 0 2 0 0 36 47 64 4.44089209850063e-16
+8 0 2 0 0 36 48 64 4.44089209850063e-16
+8 0 2 0 0 36 49 64 4.44089209850063e-16
+8 0 2 0 0 36 50 64 4.44089209850063e-16
+8 0 2 0 0 36 51 64 4.44089209850063e-16
+8 0 2 0 0 36 52 64 4.44089209850063e-16
+8 0 2 0 0 36 53 64 4.44089209850063e-16
+8 0 2 0 0 36 54 64 4.44089209850063e-16
+8 0 2 0 0 36 55 64 4.44089209850063e-16
+8 0 2 0 0 36 56 64 4.44089209850063e-16
+8 0 2 0 0 36 57 64 4.44089209850063e-16
+8 0 2 0 0 36 58 64 4.44089209850063e-16
+8 0 2 0 0 36 59 64 4.44089209850063e-16
+8 0 2 0 0 36 60 64 4.44089209850063e-16
+8 0 2 0 0 36 61 64 4.44089209850063e-16
+8 0 2 0 0 36 62 64 4.44089209850063e-16
+8 0 2 0 0 36 63 64 4.44089209850063e-16
+8 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 4.44089209850063e-16
+8 0 1 0 0 36 28 64 4.44089209850063e-16
+8 0 1 0 0 36 30 64 4.44089209850063e-16
+8 0 1 0 0 36 32 64 4.44089209850063e-16
+8 0 1 0 0 36 34 64 4.44089209850063e-16
+8 0 1 0 0 36 36 64 4.44089209850063e-16
+8 0 1 0 0 36 38 64 4.44089209850063e-16
+8 0 1 0 0 36 40 64 4.44089209850063e-16
+8 0 1 0 0 36 42 64 4.44089209850063e-16
+8 0 1 0 0 36 44 64 4.44089209850063e-16
+8 0 1 0 0 36 46 64 4.44089209850063e-16
+8 0 1 0 0 36 48 64 4.44089209850063e-16
+8 0 1 0 0 36 50 64 4.44089209850063e-16
+8 0 1 0 0 36 52 64 4.44089209850063e-16
+8 0 1 0 0 36 54 64 4.44089209850063e-16
+8 0 1 0 0 36 56 64 4.44089209850063e-16
+8 0 1 0 0 36 58 64 4.44089209850063e-16
+8 0 1 0 0 36 60 64 4.44089209850063e-16
+8 0 1 0 0 36 62 64 4.44089209850063e-16
+8 0 1 0 0 36 64 64 4.44089209850063e-16
+8 0 1 0 0 36 66 64 4.44089209850063e-16
+8 0 1 0 0 36 68 64 4.44089209850063e-16
+8 0 1 0 0 36 70 64 4.44089209850063e-16
+8 0 1 0 0 36 72 64 4.44089209850063e-16
+8 0 1 0 0 36 74 64 4.44089209850063e-16
+8 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 4.44089209850063e-16
+8 0 0 0 0 36 4 64 4.44089209850063e-16
+8 0 0 0 0 36 8 64 4.44089209850063e-16
+8 0 0 0 0 36 12 64 4.44089209850063e-16
+8 0 0 0 0 36 16 64 4.44089209850063e-16
+8 0 0 0 0 36 20 64 4.44089209850063e-16
+8 0 0 0 0 36 24 64 4.44089209850063e-16
+8 0 0 0 0 36 28 64 4.44089209850063e-16
+8 0 0 0 0 36 32 64 4.44089209850063e-16
+8 0 0 0 0 36 36 64 4.44089209850063e-16
+8 0 0 0 0 36 40 64 4.44089209850063e-16
+8 0 0 0 0 36 44 64 4.44089209850063e-16
+8 0 0 0 0 36 48 64 4.44089209850063e-16
+8 0 0 0 0 36 52 64 4.44089209850063e-16
+8 0 0 0 0 36 56 64 4.44089209850063e-16
+8 0 0 0 0 36 60 64 4.44089209850063e-16
+8 0 0 0 0 36 64 64 4.44089209850063e-16
+8 0 0 0 0 36 68 64 4.44089209850063e-16
+8 0 0 0 0 36 72 64 4.44089209850063e-16
+8 0 0 0 0 36 76 64 4.44089209850063e-16
+8 0 0 0 0 36 80 64 4.44089209850063e-16
+8 0 0 0 0 36 84 64 4.44089209850063e-16
+8 0 0 0 0 36 88 64 4.44089209850063e-16
+8 0 0 0 0 36 92 64 4.44089209850063e-16
+8 0 0 0 0 36 96 64 4.44089209850063e-16
+8 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 4.44089209850063e-16
+9 0 2 0 0 36 40 64 4.44089209850063e-16
+9 0 2 0 0 36 41 64 4.44089209850063e-16
+9 0 2 0 0 36 42 64 4.44089209850063e-16
+9 0 2 0 0 36 43 64 4.44089209850063e-16
+9 0 2 0 0 36 44 64 4.44089209850063e-16
+9 0 2 0 0 36 45 64 4.44089209850063e-16
+9 0 2 0 0 36 46 64 4.44089209850063e-16
+9 0 2 0 0 36 47 64 4.44089209850063e-16
+9 0 2 0 0 36 48 64 4.44089209850063e-16
+9 0 2 0 0 36 49 64 4.44089209850063e-16
+9 0 2 0 0 36 50 64 4.44089209850063e-16
+9 0 2 0 0 36 51 64 4.44089209850063e-16
+9 0 2 0 0 36 52 64 4.44089209850063e-16
+9 0 2 0 0 36 53 64 4.44089209850063e-16
+9 0 2 0 0 36 54 64 4.44089209850063e-16
+9 0 2 0 0 36 55 64 4.44089209850063e-16
+9 0 2 0 0 36 56 64 4.44089209850063e-16
+9 0 2 0 0 36 57 64 4.44089209850063e-16
+9 0 2 0 0 36 58 64 4.44089209850063e-16
+9 0 2 0 0 36 59 64 4.44089209850063e-16
+9 0 2 0 0 36 60 64 4.44089209850063e-16
+9 0 2 0 0 36 61 64 4.44089209850063e-16
+9 0 2 0 0 36 62 64 4.44089209850063e-16
+9 0 2 0 0 36 63 64 4.44089209850063e-16
+9 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 4.44089209850063e-16
+10 0 2 0 0 36 40 64 4.44089209850063e-16
+10 0 2 0 0 36 41 64 4.44089209850063e-16
+10 0 2 0 0 36 42 64 4.44089209850063e-16
+10 0 2 0 0 36 43 64 4.44089209850063e-16
+10 0 2 0 0 36 44 64 4.44089209850063e-16
+10 0 2 0 0 36 45 64 4.44089209850063e-16
+10 0 2 0 0 36 46 64 4.44089209850063e-16
+10 0 2 0 0 36 47 64 4.44089209850063e-16
+10 0 2 0 0 36 48 64 4.44089209850063e-16
+10 0 2 0 0 36 49 64 4.44089209850063e-16
+10 0 2 0 0 36 50 64 4.44089209850063e-16
+10 0 2 0 0 36 51 64 4.44089209850063e-16
+10 0 2 0 0 36 52 64 4.44089209850063e-16
+10 0 2 0 0 36 53 64 4.44089209850063e-16
+10 0 2 0 0 36 54 64 4.44089209850063e-16
+10 0 2 0 0 36 55 64 4.44089209850063e-16
+10 0 2 0 0 36 56 64 4.44089209850063e-16
+10 0 2 0 0 36 57 64 4.44089209850063e-16
+10 0 2 0 0 36 58 64 4.44089209850063e-16
+10 0 2 0 0 36 59 64 4.44089209850063e-16
+10 0 2 0 0 36 60 64 4.44089209850063e-16
+10 0 2 0 0 36 61 64 4.44089209850063e-16
+10 0 2 0 0 36 62 64 4.44089209850063e-16
+10 0 2 0 0 36 63 64 4.44089209850063e-16
+10 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 4.44089209850063e-16
+10 0 1 0 0 36 28 64 4.44089209850063e-16
+10 0 1 0 0 36 30 64 4.44089209850063e-16
+10 0 1 0 0 36 32 64 4.44089209850063e-16
+10 0 1 0 0 36 34 64 4.44089209850063e-16
+10 0 1 0 0 36 36 64 4.44089209850063e-16
+10 0 1 0 0 36 38 64 4.44089209850063e-16
+10 0 1 0 0 36 40 64 4.44089209850063e-16
+10 0 1 0 0 36 42 64 4.44089209850063e-16
+10 0 1 0 0 36 44 64 4.44089209850063e-16
+10 0 1 0 0 36 46 64 4.44089209850063e-16
+10 0 1 0 0 36 48 64 4.44089209850063e-16
+10 0 1 0 0 36 50 64 4.44089209850063e-16
+10 0 1 0 0 36 52 64 4.44089209850063e-16
+10 0 1 0 0 36 54 64 4.44089209850063e-16
+10 0 1 0 0 36 56 64 4.44089209850063e-16
+10 0 1 0 0 36 58 64 4.44089209850063e-16
+10 0 1 0 0 36 60 64 4.44089209850063e-16
+10 0 1 0 0 36 62 64 4.44089209850063e-16
+10 0 1 0 0 36 64 64 4.44089209850063e-16
+10 0 1 0 0 36 66 64 4.44089209850063e-16
+10 0 1 0 0 36 68 64 4.44089209850063e-16
+10 0 1 0 0 36 70 64 4.44089209850063e-16
+10 0 1 0 0 36 72 64 4.44089209850063e-16
+10 0 1 0 0 36 74 64 4.44089209850063e-16
+10 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 4.44089209850063e-16
+11 0 2 0 0 36 40 64 4.44089209850063e-16
+11 0 2 0 0 36 41 64 4.44089209850063e-16
+11 0 2 0 0 36 42 64 4.44089209850063e-16
+11 0 2 0 0 36 43 64 4.44089209850063e-16
+11 0 2 0 0 36 44 64 4.44089209850063e-16
+11 0 2 0 0 36 45 64 4.44089209850063e-16
+11 0 2 0 0 36 46 64 4.44089209850063e-16
+11 0 2 0 0 36 47 64 4.44089209850063e-16
+11 0 2 0 0 36 48 64 4.44089209850063e-16
+11 0 2 0 0 36 49 64 4.44089209850063e-16
+11 0 2 0 0 36 50 64 4.44089209850063e-16
+11 0 2 0 0 36 51 64 4.44089209850063e-16
+11 0 2 0 0 36 52 64 4.44089209850063e-16
+11 0 2 0 0 36 53 64 4.44089209850063e-16
+11 0 2 0 0 36 54 64 4.44089209850063e-16
+11 0 2 0 0 36 55 64 4.44089209850063e-16
+11 0 2 0 0 36 56 64 4.44089209850063e-16
+11 0 2 0 0 36 57 64 4.44089209850063e-16
+11 0 2 0 0 36 58 64 4.44089209850063e-16
+11 0 2 0 0 36 59 64 4.44089209850063e-16
+11 0 2 0 0 36 60 64 4.44089209850063e-16
+11 0 2 0 0 36 61 64 4.44089209850063e-16
+11 0 2 0 0 36 62 64 4.44089209850063e-16
+11 0 2 0 0 36 63 64 4.44089209850063e-16
+11 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 4.44089209850063e-16
+12 0 2 0 0 36 40 64 4.44089209850063e-16
+12 0 2 0 0 36 41 64 4.44089209850063e-16
+12 0 2 0 0 36 42 64 4.44089209850063e-16
+12 0 2 0 0 36 43 64 4.44089209850063e-16
+12 0 2 0 0 36 44 64 4.44089209850063e-16
+12 0 2 0 0 36 45 64 4.44089209850063e-16
+12 0 2 0 0 36 46 64 4.44089209850063e-16
+12 0 2 0 0 36 47 64 4.44089209850063e-16
+12 0 2 0 0 36 48 64 4.44089209850063e-16
+12 0 2 0 0 36 49 64 4.44089209850063e-16
+12 0 2 0 0 36 50 64 4.44089209850063e-16
+12 0 2 0 0 36 51 64 4.44089209850063e-16
+12 0 2 0 0 36 52 64 4.44089209850063e-16
+12 0 2 0 0 36 53 64 4.44089209850063e-16
+12 0 2 0 0 36 54 64 4.44089209850063e-16
+12 0 2 0 0 36 55 64 4.44089209850063e-16
+12 0 2 0 0 36 56 64 4.44089209850063e-16
+12 0 2 0 0 36 57 64 4.44089209850063e-16
+12 0 2 0 0 36 58 64 4.44089209850063e-16
+12 0 2 0 0 36 59 64 4.44089209850063e-16
+12 0 2 0 0 36 60 64 4.44089209850063e-16
+12 0 2 0 0 36 61 64 4.44089209850063e-16
+12 0 2 0 0 36 62 64 4.44089209850063e-16
+12 0 2 0 0 36 63 64 4.44089209850063e-16
+12 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 4.44089209850063e-16
+12 0 1 0 0 36 28 64 4.44089209850063e-16
+12 0 1 0 0 36 30 64 4.44089209850063e-16
+12 0 1 0 0 36 32 64 4.44089209850063e-16
+12 0 1 0 0 36 34 64 4.44089209850063e-16
+12 0 1 0 0 36 36 64 4.44089209850063e-16
+12 0 1 0 0 36 38 64 4.44089209850063e-16
+12 0 1 0 0 36 40 64 4.44089209850063e-16
+12 0 1 0 0 36 42 64 4.44089209850063e-16
+12 0 1 0 0 36 44 64 4.44089209850063e-16
+12 0 1 0 0 36 46 64 4.44089209850063e-16
+12 0 1 0 0 36 48 64 4.44089209850063e-16
+12 0 1 0 0 36 50 64 4.44089209850063e-16
+12 0 1 0 0 36 52 64 4.44089209850063e-16
+12 0 1 0 0 36 54 64 4.44089209850063e-16
+12 0 1 0 0 36 56 64 4.44089209850063e-16
+12 0 1 0 0 36 58 64 4.44089209850063e-16
+12 0 1 0 0 36 60 64 4.44089209850063e-16
+12 0 1 0 0 36 62 64 4.44089209850063e-16
+12 0 1 0 0 36 64 64 4.44089209850063e-16
+12 0 1 0 0 36 66 64 4.44089209850063e-16
+12 0 1 0 0 36 68 64 4.44089209850063e-16
+12 0 1 0 0 36 70 64 4.44089209850063e-16
+12 0 1 0 0 36 72 64 4.44089209850063e-16
+12 0 1 0 0 36 74 64 4.44089209850063e-16
+12 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 4.44089209850063e-16
+12 0 0 0 0 36 4 64 4.44089209850063e-16
+12 0 0 0 0 36 8 64 4.44089209850063e-16
+12 0 0 0 0 36 12 64 4.44089209850063e-16
+12 0 0 0 0 36 16 64 4.44089209850063e-16
+12 0 0 0 0 36 20 64 4.44089209850063e-16
+12 0 0 0 0 36 24 64 4.44089209850063e-16
+12 0 0 0 0 36 28 64 4.44089209850063e-16
+12 0 0 0 0 36 32 64 4.44089209850063e-16
+12 0 0 0 0 36 36 64 4.44089209850063e-16
+12 0 0 0 0 36 40 64 4.44089209850063e-16
+12 0 0 0 0 36 44 64 4.44089209850063e-16
+12 0 0 0 0 36 48 64 4.44089209850063e-16
+12 0 0 0 0 36 52 64 4.44089209850063e-16
+12 0 0 0 0 36 56 64 4.44089209850063e-16
+12 0 0 0 0 36 60 64 4.44089209850063e-16
+12 0 0 0 0 36 64 64 4.44089209850063e-16
+12 0 0 0 0 36 68 64 4.44089209850063e-16
+12 0 0 0 0 36 72 64 4.44089209850063e-16
+12 0 0 0 0 36 76 64 4.44089209850063e-16
+12 0 0 0 0 36 80 64 4.44089209850063e-16
+12 0 0 0 0 36 84 64 4.44089209850063e-16
+12 0 0 0 0 36 88 64 4.44089209850063e-16
+12 0 0 0 0 36 92 64 4.44089209850063e-16
+12 0 0 0 0 36 96 64 4.44089209850063e-16
+12 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 4.44089209850063e-16
+13 0 2 0 0 36 40 64 4.44089209850063e-16
+13 0 2 0 0 36 41 64 4.44089209850063e-16
+13 0 2 0 0 36 42 64 4.44089209850063e-16
+13 0 2 0 0 36 43 64 4.44089209850063e-16
+13 0 2 0 0 36 44 64 4.44089209850063e-16
+13 0 2 0 0 36 45 64 4.44089209850063e-16
+13 0 2 0 0 36 46 64 4.44089209850063e-16
+13 0 2 0 0 36 47 64 4.44089209850063e-16
+13 0 2 0 0 36 48 64 4.44089209850063e-16
+13 0 2 0 0 36 49 64 4.44089209850063e-16
+13 0 2 0 0 36 50 64 4.44089209850063e-16
+13 0 2 0 0 36 51 64 4.44089209850063e-16
+13 0 2 0 0 36 52 64 4.44089209850063e-16
+13 0 2 0 0 36 53 64 4.44089209850063e-16
+13 0 2 0 0 36 54 64 4.44089209850063e-16
+13 0 2 0 0 36 55 64 4.44089209850063e-16
+13 0 2 0 0 36 56 64 4.44089209850063e-16
+13 0 2 0 0 36 57 64 4.44089209850063e-16
+13 0 2 0 0 36 58 64 4.44089209850063e-16
+13 0 2 0 0 36 59 64 4.44089209850063e-16
+13 0 2 0 0 36 60 64 4.44089209850063e-16
+13 0 2 0 0 36 61 64 4.44089209850063e-16
+13 0 2 0 0 36 62 64 4.44089209850063e-16
+13 0 2 0 0 36 63 64 4.44089209850063e-16
+13 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 4.44089209850063e-16
+14 0 2 0 0 36 40 64 4.44089209850063e-16
+14 0 2 0 0 36 41 64 4.44089209850063e-16
+14 0 2 0 0 36 42 64 4.44089209850063e-16
+14 0 2 0 0 36 43 64 4.44089209850063e-16
+14 0 2 0 0 36 44 64 4.44089209850063e-16
+14 0 2 0 0 36 45 64 4.44089209850063e-16
+14 0 2 0 0 36 46 64 4.44089209850063e-16
+14 0 2 0 0 36 47 64 4.44089209850063e-16
+14 0 2 0 0 36 48 64 4.44089209850063e-16
+14 0 2 0 0 36 49 64 4.44089209850063e-16
+14 0 2 0 0 36 50 64 4.44089209850063e-16
+14 0 2 0 0 36 51 64 4.44089209850063e-16
+14 0 2 0 0 36 52 64 4.44089209850063e-16
+14 0 2 0 0 36 53 64 4.44089209850063e-16
+14 0 2 0 0 36 54 64 4.44089209850063e-16
+14 0 2 0 0 36 55 64 4.44089209850063e-16
+14 0 2 0 0 36 56 64 4.44089209850063e-16
+14 0 2 0 0 36 57 64 4.44089209850063e-16
+14 0 2 0 0 36 58 64 4.44089209850063e-16
+14 0 2 0 0 36 59 64 4.44089209850063e-16
+14 0 2 0 0 36 60 64 4.44089209850063e-16
+14 0 2 0 0 36 61 64 4.44089209850063e-16
+14 0 2 0 0 36 62 64 4.44089209850063e-16
+14 0 2 0 0 36 63 64 4.44089209850063e-16
+14 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 4.44089209850063e-16
+14 0 1 0 0 36 28 64 4.44089209850063e-16
+14 0 1 0 0 36 30 64 4.44089209850063e-16
+14 0 1 0 0 36 32 64 4.44089209850063e-16
+14 0 1 0 0 36 34 64 4.44089209850063e-16
+14 0 1 0 0 36 36 64 4.44089209850063e-16
+14 0 1 0 0 36 38 64 4.44089209850063e-16
+14 0 1 0 0 36 40 64 4.44089209850063e-16
+14 0 1 0 0 36 42 64 4.44089209850063e-16
+14 0 1 0 0 36 44 64 4.44089209850063e-16
+14 0 1 0 0 36 46 64 4.44089209850063e-16
+14 0 1 0 0 36 48 64 4.44089209850063e-16
+14 0 1 0 0 36 50 64 4.44089209850063e-16
+14 0 1 0 0 36 52 64 4.44089209850063e-16
+14 0 1 0 0 36 54 64 4.44089209850063e-16
+14 0 1 0 0 36 56 64 4.44089209850063e-16
+14 0 1 0 0 36 58 64 4.44089209850063e-16
+14 0 1 0 0 36 60 64 4.44089209850063e-16
+14 0 1 0 0 36 62 64 4.44089209850063e-16
+14 0 1 0 0 36 64 64 4.44089209850063e-16
+14 0 1 0 0 36 66 64 4.44089209850063e-16
+14 0 1 0 0 36 68 64 4.44089209850063e-16
+14 0 1 0 0 36 70 64 4.44089209850063e-16
+14 0 1 0 0 36 72 64 4.44089209850063e-16
+14 0 1 0 0 36 74 64 4.44089209850063e-16
+14 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 4.44089209850063e-16
+15 0 2 0 0 36 40 64 4.44089209850063e-16
+15 0 2 0 0 36 41 64 4.44089209850063e-16
+15 0 2 0 0 36 42 64 4.44089209850063e-16
+15 0 2 0 0 36 43 64 4.44089209850063e-16
+15 0 2 0 0 36 44 64 4.44089209850063e-16
+15 0 2 0 0 36 45 64 4.44089209850063e-16
+15 0 2 0 0 36 46 64 4.44089209850063e-16
+15 0 2 0 0 36 47 64 4.44089209850063e-16
+15 0 2 0 0 36 48 64 4.44089209850063e-16
+15 0 2 0 0 36 49 64 4.44089209850063e-16
+15 0 2 0 0 36 50 64 4.44089209850063e-16
+15 0 2 0 0 36 51 64 4.44089209850063e-16
+15 0 2 0 0 36 52 64 4.44089209850063e-16
+15 0 2 0 0 36 53 64 4.44089209850063e-16
+15 0 2 0 0 36 54 64 4.44089209850063e-16
+15 0 2 0 0 36 55 64 4.44089209850063e-16
+15 0 2 0 0 36 56 64 4.44089209850063e-16
+15 0 2 0 0 36 57 64 4.44089209850063e-16
+15 0 2 0 0 36 58 64 4.44089209850063e-16
+15 0 2 0 0 36 59 64 4.44089209850063e-16
+15 0 2 0 0 36 60 64 4.44089209850063e-16
+15 0 2 0 0 36 61 64 4.44089209850063e-16
+15 0 2 0 0 36 62 64 4.44089209850063e-16
+15 0 2 0 0 36 63 64 4.44089209850063e-16
+15 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 4.44089209850063e-16
+16 0 2 0 0 36 40 64 4.44089209850063e-16
+16 0 2 0 0 36 41 64 4.44089209850063e-16
+16 0 2 0 0 36 42 64 4.44089209850063e-16
+16 0 2 0 0 36 43 64 4.44089209850063e-16
+16 0 2 0 0 36 44 64 4.44089209850063e-16
+16 0 2 0 0 36 45 64 4.44089209850063e-16
+16 0 2 0 0 36 46 64 4.44089209850063e-16
+16 0 2 0 0 36 47 64 4.44089209850063e-16
+16 0 2 0 0 36 48 64 4.44089209850063e-16
+16 0 2 0 0 36 49 64 4.44089209850063e-16
+16 0 2 0 0 36 50 64 4.44089209850063e-16
+16 0 2 0 0 36 51 64 4.44089209850063e-16
+16 0 2 0 0 36 52 64 4.44089209850063e-16
+16 0 2 0 0 36 53 64 4.44089209850063e-16
+16 0 2 0 0 36 54 64 4.44089209850063e-16
+16 0 2 0 0 36 55 64 4.44089209850063e-16
+16 0 2 0 0 36 56 64 4.44089209850063e-16
+16 0 2 0 0 36 57 64 4.44089209850063e-16
+16 0 2 0 0 36 58 64 4.44089209850063e-16
+16 0 2 0 0 36 59 64 4.44089209850063e-16
+16 0 2 0 0 36 60 64 4.44089209850063e-16
+16 0 2 0 0 36 61 64 4.44089209850063e-16
+16 0 2 0 0 36 62 64 4.44089209850063e-16
+16 0 2 0 0 36 63 64 4.44089209850063e-16
+16 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 4.44089209850063e-16
+16 0 1 0 0 36 28 64 4.44089209850063e-16
+16 0 1 0 0 36 30 64 4.44089209850063e-16
+16 0 1 0 0 36 32 64 4.44089209850063e-16
+16 0 1 0 0 36 34 64 4.44089209850063e-16
+16 0 1 0 0 36 36 64 4.44089209850063e-16
+16 0 1 0 0 36 38 64 4.44089209850063e-16
+16 0 1 0 0 36 40 64 4.44089209850063e-16
+16 0 1 0 0 36 42 64 4.44089209850063e-16
+16 0 1 0 0 36 44 64 4.44089209850063e-16
+16 0 1 0 0 36 46 64 4.44089209850063e-16
+16 0 1 0 0 36 48 64 4.44089209850063e-16
+16 0 1 0 0 36 50 64 4.44089209850063e-16
+16 0 1 0 0 36 52 64 4.44089209850063e-16
+16 0 1 0 0 36 54 64 4.44089209850063e-16
+16 0 1 0 0 36 56 64 4.44089209850063e-16
+16 0 1 0 0 36 58 64 4.44089209850063e-16
+16 0 1 0 0 36 60 64 4.44089209850063e-16
+16 0 1 0 0 36 62 64 4.44089209850063e-16
+16 0 1 0 0 36 64 64 4.44089209850063e-16
+16 0 1 0 0 36 66 64 4.44089209850063e-16
+16 0 1 0 0 36 68 64 4.44089209850063e-16
+16 0 1 0 0 36 70 64 4.44089209850063e-16
+16 0 1 0 0 36 72 64 4.44089209850063e-16
+16 0 1 0 0 36 74 64 4.44089209850063e-16
+16 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 4.44089209850063e-16
+16 0 0 0 0 36 4 64 4.44089209850063e-16
+16 0 0 0 0 36 8 64 4.44089209850063e-16
+16 0 0 0 0 36 12 64 4.44089209850063e-16
+16 0 0 0 0 36 16 64 4.44089209850063e-16
+16 0 0 0 0 36 20 64 4.44089209850063e-16
+16 0 0 0 0 36 24 64 4.44089209850063e-16
+16 0 0 0 0 36 28 64 4.44089209850063e-16
+16 0 0 0 0 36 32 64 4.44089209850063e-16
+16 0 0 0 0 36 36 64 4.44089209850063e-16
+16 0 0 0 0 36 40 64 4.44089209850063e-16
+16 0 0 0 0 36 44 64 4.44089209850063e-16
+16 0 0 0 0 36 48 64 4.44089209850063e-16
+16 0 0 0 0 36 52 64 4.44089209850063e-16
+16 0 0 0 0 36 56 64 4.44089209850063e-16
+16 0 0 0 0 36 60 64 4.44089209850063e-16
+16 0 0 0 0 36 64 64 4.44089209850063e-16
+16 0 0 0 0 36 68 64 4.44089209850063e-16
+16 0 0 0 0 36 72 64 4.44089209850063e-16
+16 0 0 0 0 36 76 64 4.44089209850063e-16
+16 0 0 0 0 36 80 64 4.44089209850063e-16
+16 0 0 0 0 36 84 64 4.44089209850063e-16
+16 0 0 0 0 36 88 64 4.44089209850063e-16
+16 0 0 0 0 36 92 64 4.44089209850063e-16
+16 0 0 0 0 36 96 64 4.44089209850063e-16
+16 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 4.44089209850063e-16
+17 0 2 0 0 36 40 64 4.44089209850063e-16
+17 0 2 0 0 36 41 64 4.44089209850063e-16
+17 0 2 0 0 36 42 64 4.44089209850063e-16
+17 0 2 0 0 36 43 64 4.44089209850063e-16
+17 0 2 0 0 36 44 64 4.44089209850063e-16
+17 0 2 0 0 36 45 64 4.44089209850063e-16
+17 0 2 0 0 36 46 64 4.44089209850063e-16
+17 0 2 0 0 36 47 64 4.44089209850063e-16
+17 0 2 0 0 36 48 64 4.44089209850063e-16
+17 0 2 0 0 36 49 64 4.44089209850063e-16
+17 0 2 0 0 36 50 64 4.44089209850063e-16
+17 0 2 0 0 36 51 64 4.44089209850063e-16
+17 0 2 0 0 36 52 64 4.44089209850063e-16
+17 0 2 0 0 36 53 64 4.44089209850063e-16
+17 0 2 0 0 36 54 64 4.44089209850063e-16
+17 0 2 0 0 36 55 64 4.44089209850063e-16
+17 0 2 0 0 36 56 64 4.44089209850063e-16
+17 0 2 0 0 36 57 64 4.44089209850063e-16
+17 0 2 0 0 36 58 64 4.44089209850063e-16
+17 0 2 0 0 36 59 64 4.44089209850063e-16
+17 0 2 0 0 36 60 64 4.44089209850063e-16
+17 0 2 0 0 36 61 64 4.44089209850063e-16
+17 0 2 0 0 36 62 64 4.44089209850063e-16
+17 0 2 0 0 36 63 64 4.44089209850063e-16
+17 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 4.44089209850063e-16
+18 0 2 0 0 36 40 64 4.44089209850063e-16
+18 0 2 0 0 36 41 64 4.44089209850063e-16
+18 0 2 0 0 36 42 64 4.44089209850063e-16
+18 0 2 0 0 36 43 64 4.44089209850063e-16
+18 0 2 0 0 36 44 64 4.44089209850063e-16
+18 0 2 0 0 36 45 64 4.44089209850063e-16
+18 0 2 0 0 36 46 64 4.44089209850063e-16
+18 0 2 0 0 36 47 64 4.44089209850063e-16
+18 0 2 0 0 36 48 64 4.44089209850063e-16
+18 0 2 0 0 36 49 64 4.44089209850063e-16
+18 0 2 0 0 36 50 64 4.44089209850063e-16
+18 0 2 0 0 36 51 64 4.44089209850063e-16
+18 0 2 0 0 36 52 64 4.44089209850063e-16
+18 0 2 0 0 36 53 64 4.44089209850063e-16
+18 0 2 0 0 36 54 64 4.44089209850063e-16
+18 0 2 0 0 36 55 64 4.44089209850063e-16
+18 0 2 0 0 36 56 64 4.44089209850063e-16
+18 0 2 0 0 36 57 64 4.44089209850063e-16
+18 0 2 0 0 36 58 64 4.44089209850063e-16
+18 0 2 0 0 36 59 64 4.44089209850063e-16
+18 0 2 0 0 36 60 64 4.44089209850063e-16
+18 0 2 0 0 36 61 64 4.44089209850063e-16
+18 0 2 0 0 36 62 64 4.44089209850063e-16
+18 0 2 0 0 36 63 64 4.44089209850063e-16
+18 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 4.44089209850063e-16
+18 0 1 0 0 36 28 64 4.44089209850063e-16
+18 0 1 0 0 36 30 64 4.44089209850063e-16
+18 0 1 0 0 36 32 64 4.44089209850063e-16
+18 0 1 0 0 36 34 64 4.44089209850063e-16
+18 0 1 0 0 36 36 64 4.44089209850063e-16
+18 0 1 0 0 36 38 64 4.44089209850063e-16
+18 0 1 0 0 36 40 64 4.44089209850063e-16
+18 0 1 0 0 36 42 64 4.44089209850063e-16
+18 0 1 0 0 36 44 64 4.44089209850063e-16
+18 0 1 0 0 36 46 64 4.44089209850063e-16
+18 0 1 0 0 36 48 64 4.44089209850063e-16
+18 0 1 0 0 36 50 64 4.44089209850063e-16
+18 0 1 0 0 36 52 64 4.44089209850063e-16
+18 0 1 0 0 36 54 64 4.44089209850063e-16
+18 0 1 0 0 36 56 64 4.44089209850063e-16
+18 0 1 0 0 36 58 64 4.44089209850063e-16
+18 0 1 0 0 36 60 64 4.44089209850063e-16
+18 0 1 0 0 36 62 64 4.44089209850063e-16
+18 0 1 0 0 36 64 64 4.44089209850063e-16
+18 0 1 0 0 36 66 64 4.44089209850063e-16
+18 0 1 0 0 36 68 64 4.44089209850063e-16
+18 0 1 0 0 36 70 64 4.44089209850063e-16
+18 0 1 0 0 36 72 64 4.44089209850063e-16
+18 0 1 0 0 36 74 64 4.44089209850063e-16
+18 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 4.44089209850063e-16
+19 0 2 0 0 36 40 64 4.44089209850063e-16
+19 0 2 0 0 36 41 64 4.44089209850063e-16
+19 0 2 0 0 36 42 64 4.44089209850063e-16
+19 0 2 0 0 36 43 64 4.44089209850063e-16
+19 0 2 0 0 36 44 64 4.44089209850063e-16
+19 0 2 0 0 36 45 64 4.44089209850063e-16
+19 0 2 0 0 36 46 64 4.44089209850063e-16
+19 0 2 0 0 36 47 64 4.44089209850063e-16
+19 0 2 0 0 36 48 64 4.44089209850063e-16
+19 0 2 0 0 36 49 64 4.44089209850063e-16
+19 0 2 0 0 36 50 64 4.44089209850063e-16
+19 0 2 0 0 36 51 64 4.44089209850063e-16
+19 0 2 0 0 36 52 64 4.44089209850063e-16
+19 0 2 0 0 36 53 64 4.44089209850063e-16
+19 0 2 0 0 36 54 64 4.44089209850063e-16
+19 0 2 0 0 36 55 64 4.44089209850063e-16
+19 0 2 0 0 36 56 64 4.44089209850063e-16
+19 0 2 0 0 36 57 64 4.44089209850063e-16
+19 0 2 0 0 36 58 64 4.44089209850063e-16
+19 0 2 0 0 36 59 64 4.44089209850063e-16
+19 0 2 0 0 36 60 64 4.44089209850063e-16
+19 0 2 0 0 36 61 64 4.44089209850063e-16
+19 0 2 0 0 36 62 64 4.44089209850063e-16
+19 0 2 0 0 36 63 64 4.44089209850063e-16
+19 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 4.44089209850063e-16
+20 0 2 0 0 36 40 64 4.44089209850063e-16
+20 0 2 0 0 36 41 64 4.44089209850063e-16
+20 0 2 0 0 36 42 64 4.44089209850063e-16
+20 0 2 0 0 36 43 64 4.44089209850063e-16
+20 0 2 0 0 36 44 64 4.44089209850063e-16
+20 0 2 0 0 36 45 64 4.44089209850063e-16
+20 0 2 0 0 36 46 64 4.44089209850063e-16
+20 0 2 0 0 36 47 64 4.44089209850063e-16
+20 0 2 0 0 36 48 64 4.44089209850063e-16
+20 0 2 0 0 36 49 64 4.44089209850063e-16
+20 0 2 0 0 36 50 64 4.44089209850063e-16
+20 0 2 0 0 36 51 64 4.44089209850063e-16
+20 0 2 0 0 36 52 64 4.44089209850063e-16
+20 0 2 0 0 36 53 64 4.44089209850063e-16
+20 0 2 0 0 36 54 64 4.44089209850063e-16
+20 0 2 0 0 36 55 64 4.44089209850063e-16
+20 0 2 0 0 36 56 64 4.44089209850063e-16
+20 0 2 0 0 36 57 64 4.44089209850063e-16
+20 0 2 0 0 36 58 64 4.44089209850063e-16
+20 0 2 0 0 36 59 64 4.44089209850063e-16
+20 0 2 0 0 36 60 64 4.44089209850063e-16
+20 0 2 0 0 36 61 64 4.44089209850063e-16
+20 0 2 0 0 36 62 64 4.44089209850063e-16
+20 0 2 0 0 36 63 64 4.44089209850063e-16
+20 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 4.44089209850063e-16
+20 0 1 0 0 36 28 64 4.44089209850063e-16
+20 0 1 0 0 36 30 64 4.44089209850063e-16
+20 0 1 0 0 36 32 64 4.44089209850063e-16
+20 0 1 0 0 36 34 64 4.44089209850063e-16
+20 0 1 0 0 36 36 64 4.44089209850063e-16
+20 0 1 0 0 36 38 64 4.44089209850063e-16
+20 0 1 0 0 36 40 64 4.44089209850063e-16
+20 0 1 0 0 36 42 64 4.44089209850063e-16
+20 0 1 0 0 36 44 64 4.44089209850063e-16
+20 0 1 0 0 36 46 64 4.44089209850063e-16
+20 0 1 0 0 36 48 64 4.44089209850063e-16
+20 0 1 0 0 36 50 64 4.44089209850063e-16
+20 0 1 0 0 36 52 64 4.44089209850063e-16
+20 0 1 0 0 36 54 64 4.44089209850063e-16
+20 0 1 0 0 36 56 64 4.44089209850063e-16
+20 0 1 0 0 36 58 64 4.44089209850063e-16
+20 0 1 0 0 36 60 64 4.44089209850063e-16
+20 0 1 0 0 36 62 64 4.44089209850063e-16
+20 0 1 0 0 36 64 64 4.44089209850063e-16
+20 0 1 0 0 36 66 64 4.44089209850063e-16
+20 0 1 0 0 36 68 64 4.44089209850063e-16
+20 0 1 0 0 36 70 64 4.44089209850063e-16
+20 0 1 0 0 36 72 64 4.44089209850063e-16
+20 0 1 0 0 36 74 64 4.44089209850063e-16
+20 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 4.44089209850063e-16
+20 0 0 0 0 36 4 64 4.44089209850063e-16
+20 0 0 0 0 36 8 64 4.44089209850063e-16
+20 0 0 0 0 36 12 64 4.44089209850063e-16
+20 0 0 0 0 36 16 64 4.44089209850063e-16
+20 0 0 0 0 36 20 64 4.44089209850063e-16
+20 0 0 0 0 36 24 64 4.44089209850063e-16
+20 0 0 0 0 36 28 64 4.44089209850063e-16
+20 0 0 0 0 36 32 64 4.44089209850063e-16
+20 0 0 0 0 36 36 64 4.44089209850063e-16
+20 0 0 0 0 36 40 64 4.44089209850063e-16
+20 0 0 0 0 36 44 64 4.44089209850063e-16
+20 0 0 0 0 36 48 64 4.44089209850063e-16
+20 0 0 0 0 36 52 64 4.44089209850063e-16
+20 0 0 0 0 36 56 64 4.44089209850063e-16
+20 0 0 0 0 36 60 64 4.44089209850063e-16
+20 0 0 0 0 36 64 64 4.44089209850063e-16
+20 0 0 0 0 36 68 64 4.44089209850063e-16
+20 0 0 0 0 36 72 64 4.44089209850063e-16
+20 0 0 0 0 36 76 64 4.44089209850063e-16
+20 0 0 0 0 36 80 64 4.44089209850063e-16
+20 0 0 0 0 36 84 64 4.44089209850063e-16
+20 0 0 0 0 36 88 64 4.44089209850063e-16
+20 0 0 0 0 36 92 64 4.44089209850063e-16
+20 0 0 0 0 36 96 64 4.44089209850063e-16
+20 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 4.44089209850063e-16
+21 0 2 0 0 36 40 64 4.44089209850063e-16
+21 0 2 0 0 36 41 64 4.44089209850063e-16
+21 0 2 0 0 36 42 64 4.44089209850063e-16
+21 0 2 0 0 36 43 64 4.44089209850063e-16
+21 0 2 0 0 36 44 64 4.44089209850063e-16
+21 0 2 0 0 36 45 64 4.44089209850063e-16
+21 0 2 0 0 36 46 64 4.44089209850063e-16
+21 0 2 0 0 36 47 64 4.44089209850063e-16
+21 0 2 0 0 36 48 64 4.44089209850063e-16
+21 0 2 0 0 36 49 64 4.44089209850063e-16
+21 0 2 0 0 36 50 64 4.44089209850063e-16
+21 0 2 0 0 36 51 64 4.44089209850063e-16
+21 0 2 0 0 36 52 64 4.44089209850063e-16
+21 0 2 0 0 36 53 64 4.44089209850063e-16
+21 0 2 0 0 36 54 64 4.44089209850063e-16
+21 0 2 0 0 36 55 64 4.44089209850063e-16
+21 0 2 0 0 36 56 64 4.44089209850063e-16
+21 0 2 0 0 36 57 64 4.44089209850063e-16
+21 0 2 0 0 36 58 64 4.44089209850063e-16
+21 0 2 0 0 36 59 64 4.44089209850063e-16
+21 0 2 0 0 36 60 64 4.44089209850063e-16
+21 0 2 0 0 36 61 64 4.44089209850063e-16
+21 0 2 0 0 36 62 64 4.44089209850063e-16
+21 0 2 0 0 36 63 64 4.44089209850063e-16
+21 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 4.44089209850063e-16
+22 0 2 0 0 36 40 64 4.44089209850063e-16
+22 0 2 0 0 36 41 64 4.44089209850063e-16
+22 0 2 0 0 36 42 64 4.44089209850063e-16
+22 0 2 0 0 36 43 64 4.44089209850063e-16
+22 0 2 0 0 36 44 64 4.44089209850063e-16
+22 0 2 0 0 36 45 64 4.44089209850063e-16
+22 0 2 0 0 36 46 64 4.44089209850063e-16
+22 0 2 0 0 36 47 64 4.44089209850063e-16
+22 0 2 0 0 36 48 64 4.44089209850063e-16
+22 0 2 0 0 36 49 64 4.44089209850063e-16
+22 0 2 0 0 36 50 64 4.44089209850063e-16
+22 0 2 0 0 36 51 64 4.44089209850063e-16
+22 0 2 0 0 36 52 64 4.44089209850063e-16
+22 0 2 0 0 36 53 64 4.44089209850063e-16
+22 0 2 0 0 36 54 64 4.44089209850063e-16
+22 0 2 0 0 36 55 64 4.44089209850063e-16
+22 0 2 0 0 36 56 64 4.44089209850063e-16
+22 0 2 0 0 36 57 64 4.44089209850063e-16
+22 0 2 0 0 36 58 64 4.44089209850063e-16
+22 0 2 0 0 36 59 64 4.44089209850063e-16
+22 0 2 0 0 36 60 64 4.44089209850063e-16
+22 0 2 0 0 36 61 64 4.44089209850063e-16
+22 0 2 0 0 36 62 64 4.44089209850063e-16
+22 0 2 0 0 36 63 64 4.44089209850063e-16
+22 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 4.44089209850063e-16
+22 0 1 0 0 36 28 64 4.44089209850063e-16
+22 0 1 0 0 36 30 64 4.44089209850063e-16
+22 0 1 0 0 36 32 64 4.44089209850063e-16
+22 0 1 0 0 36 34 64 4.44089209850063e-16
+22 0 1 0 0 36 36 64 4.44089209850063e-16
+22 0 1 0 0 36 38 64 4.44089209850063e-16
+22 0 1 0 0 36 40 64 4.44089209850063e-16
+22 0 1 0 0 36 42 64 4.44089209850063e-16
+22 0 1 0 0 36 44 64 4.44089209850063e-16
+22 0 1 0 0 36 46 64 4.44089209850063e-16
+22 0 1 0 0 36 48 64 4.44089209850063e-16
+22 0 1 0 0 36 50 64 4.44089209850063e-16
+22 0 1 0 0 36 52 64 4.44089209850063e-16
+22 0 1 0 0 36 54 64 4.44089209850063e-16
+22 0 1 0 0 36 56 64 4.44089209850063e-16
+22 0 1 0 0 36 58 64 4.44089209850063e-16
+22 0 1 0 0 36 60 64 4.44089209850063e-16
+22 0 1 0 0 36 62 64 4.44089209850063e-16
+22 0 1 0 0 36 64 64 4.44089209850063e-16
+22 0 1 0 0 36 66 64 4.44089209850063e-16
+22 0 1 0 0 36 68 64 4.44089209850063e-16
+22 0 1 0 0 36 70 64 4.44089209850063e-16
+22 0 1 0 0 36 72 64 4.44089209850063e-16
+22 0 1 0 0 36 74 64 4.44089209850063e-16
+22 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 4.44089209850063e-16
+23 0 2 0 0 36 40 64 4.44089209850063e-16
+23 0 2 0 0 36 41 64 4.44089209850063e-16
+23 0 2 0 0 36 42 64 4.44089209850063e-16
+23 0 2 0 0 36 43 64 4.44089209850063e-16
+23 0 2 0 0 36 44 64 4.44089209850063e-16
+23 0 2 0 0 36 45 64 4.44089209850063e-16
+23 0 2 0 0 36 46 64 4.44089209850063e-16
+23 0 2 0 0 36 47 64 4.44089209850063e-16
+23 0 2 0 0 36 48 64 4.44089209850063e-16
+23 0 2 0 0 36 49 64 4.44089209850063e-16
+23 0 2 0 0 36 50 64 4.44089209850063e-16
+23 0 2 0 0 36 51 64 4.44089209850063e-16
+23 0 2 0 0 36 52 64 4.44089209850063e-16
+23 0 2 0 0 36 53 64 4.44089209850063e-16
+23 0 2 0 0 36 54 64 4.44089209850063e-16
+23 0 2 0 0 36 55 64 4.44089209850063e-16
+23 0 2 0 0 36 56 64 4.44089209850063e-16
+23 0 2 0 0 36 57 64 4.44089209850063e-16
+23 0 2 0 0 36 58 64 4.44089209850063e-16
+23 0 2 0 0 36 59 64 4.44089209850063e-16
+23 0 2 0 0 36 60 64 4.44089209850063e-16
+23 0 2 0 0 36 61 64 4.44089209850063e-16
+23 0 2 0 0 36 62 64 4.44089209850063e-16
+23 0 2 0 0 36 63 64 4.44089209850063e-16
+23 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 4.44089209850063e-16
+24 0 2 0 0 36 40 64 4.44089209850063e-16
+24 0 2 0 0 36 41 64 4.44089209850063e-16
+24 0 2 0 0 36 42 64 4.44089209850063e-16
+24 0 2 0 0 36 43 64 4.44089209850063e-16
+24 0 2 0 0 36 44 64 4.44089209850063e-16
+24 0 2 0 0 36 45 64 4.44089209850063e-16
+24 0 2 0 0 36 46 64 4.44089209850063e-16
+24 0 2 0 0 36 47 64 4.44089209850063e-16
+24 0 2 0 0 36 48 64 4.44089209850063e-16
+24 0 2 0 0 36 49 64 4.44089209850063e-16
+24 0 2 0 0 36 50 64 4.44089209850063e-16
+24 0 2 0 0 36 51 64 4.44089209850063e-16
+24 0 2 0 0 36 52 64 4.44089209850063e-16
+24 0 2 0 0 36 53 64 4.44089209850063e-16
+24 0 2 0 0 36 54 64 4.44089209850063e-16
+24 0 2 0 0 36 55 64 4.44089209850063e-16
+24 0 2 0 0 36 56 64 4.44089209850063e-16
+24 0 2 0 0 36 57 64 4.44089209850063e-16
+24 0 2 0 0 36 58 64 4.44089209850063e-16
+24 0 2 0 0 36 59 64 4.44089209850063e-16
+24 0 2 0 0 36 60 64 4.44089209850063e-16
+24 0 2 0 0 36 61 64 4.44089209850063e-16
+24 0 2 0 0 36 62 64 4.44089209850063e-16
+24 0 2 0 0 36 63 64 4.44089209850063e-16
+24 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 4.44089209850063e-16
+24 0 1 0 0 36 28 64 4.44089209850063e-16
+24 0 1 0 0 36 30 64 4.44089209850063e-16
+24 0 1 0 0 36 32 64 4.44089209850063e-16
+24 0 1 0 0 36 34 64 4.44089209850063e-16
+24 0 1 0 0 36 36 64 4.44089209850063e-16
+24 0 1 0 0 36 38 64 4.44089209850063e-16
+24 0 1 0 0 36 40 64 4.44089209850063e-16
+24 0 1 0 0 36 42 64 4.44089209850063e-16
+24 0 1 0 0 36 44 64 4.44089209850063e-16
+24 0 1 0 0 36 46 64 4.44089209850063e-16
+24 0 1 0 0 36 48 64 4.44089209850063e-16
+24 0 1 0 0 36 50 64 4.44089209850063e-16
+24 0 1 0 0 36 52 64 4.44089209850063e-16
+24 0 1 0 0 36 54 64 4.44089209850063e-16
+24 0 1 0 0 36 56 64 4.44089209850063e-16
+24 0 1 0 0 36 58 64 4.44089209850063e-16
+24 0 1 0 0 36 60 64 4.44089209850063e-16
+24 0 1 0 0 36 62 64 4.44089209850063e-16
+24 0 1 0 0 36 64 64 4.44089209850063e-16
+24 0 1 0 0 36 66 64 4.44089209850063e-16
+24 0 1 0 0 36 68 64 4.44089209850063e-16
+24 0 1 0 0 36 70 64 4.44089209850063e-16
+24 0 1 0 0 36 72 64 4.44089209850063e-16
+24 0 1 0 0 36 74 64 4.44089209850063e-16
+24 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 4.44089209850063e-16
+24 0 0 0 0 36 4 64 4.44089209850063e-16
+24 0 0 0 0 36 8 64 4.44089209850063e-16
+24 0 0 0 0 36 12 64 4.44089209850063e-16
+24 0 0 0 0 36 16 64 4.44089209850063e-16
+24 0 0 0 0 36 20 64 4.44089209850063e-16
+24 0 0 0 0 36 24 64 4.44089209850063e-16
+24 0 0 0 0 36 28 64 4.44089209850063e-16
+24 0 0 0 0 36 32 64 4.44089209850063e-16
+24 0 0 0 0 36 36 64 4.44089209850063e-16
+24 0 0 0 0 36 40 64 4.44089209850063e-16
+24 0 0 0 0 36 44 64 4.44089209850063e-16
+24 0 0 0 0 36 48 64 4.44089209850063e-16
+24 0 0 0 0 36 52 64 4.44089209850063e-16
+24 0 0 0 0 36 56 64 4.44089209850063e-16
+24 0 0 0 0 36 60 64 4.44089209850063e-16
+24 0 0 0 0 36 64 64 4.44089209850063e-16
+24 0 0 0 0 36 68 64 4.44089209850063e-16
+24 0 0 0 0 36 72 64 4.44089209850063e-16
+24 0 0 0 0 36 76 64 4.44089209850063e-16
+24 0 0 0 0 36 80 64 4.44089209850063e-16
+24 0 0 0 0 36 84 64 4.44089209850063e-16
+24 0 0 0 0 36 88 64 4.44089209850063e-16
+24 0 0 0 0 36 92 64 4.44089209850063e-16
+24 0 0 0 0 36 96 64 4.44089209850063e-16
+24 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.zl
new file mode 100644
index 000000000..1224f01b3
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_x.zl
@@ -0,0 +1,1757 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 4.44089209850063e-16
+0 0 2 0 0 36 48 52 4.44089209850063e-16
+0 0 2 0 0 36 48 53 4.44089209850063e-16
+0 0 2 0 0 36 48 54 4.44089209850063e-16
+0 0 2 0 0 36 48 55 4.44089209850063e-16
+0 0 2 0 0 36 48 56 4.44089209850063e-16
+0 0 2 0 0 36 48 57 4.44089209850063e-16
+0 0 2 0 0 36 48 58 4.44089209850063e-16
+0 0 2 0 0 36 48 59 4.44089209850063e-16
+0 0 2 0 0 36 48 60 4.44089209850063e-16
+0 0 2 0 0 36 48 61 4.44089209850063e-16
+0 0 2 0 0 36 48 62 4.44089209850063e-16
+0 0 2 0 0 36 48 63 4.44089209850063e-16
+0 0 2 0 0 36 48 64 4.44089209850063e-16
+0 0 2 0 0 36 48 65 4.44089209850063e-16
+0 0 2 0 0 36 48 66 4.44089209850063e-16
+0 0 2 0 0 36 48 67 4.44089209850063e-16
+0 0 2 0 0 36 48 68 4.44089209850063e-16
+0 0 2 0 0 36 48 69 4.44089209850063e-16
+0 0 2 0 0 36 48 70 4.44089209850063e-16
+0 0 2 0 0 36 48 71 4.44089209850063e-16
+0 0 2 0 0 36 48 72 4.44089209850063e-16
+0 0 2 0 0 36 48 73 4.44089209850063e-16
+0 0 2 0 0 36 48 74 4.44089209850063e-16
+0 0 2 0 0 36 48 75 4.44089209850063e-16
+0 0 2 0 0 36 48 76 4.44089209850063e-16
+0 0 2 0 0 36 48 77 4.44089209850063e-16
+0 0 2 0 0 36 48 78 4.44089209850063e-16
+0 0 2 0 0 36 48 79 4.44089209850063e-16
+0 0 2 0 0 36 48 80 4.44089209850063e-16
+0 0 2 0 0 36 48 81 4.44089209850063e-16
+0 0 2 0 0 36 48 82 4.44089209850063e-16
+0 0 2 0 0 36 48 83 4.44089209850063e-16
+0 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 4.44089209850063e-16
+0 0 1 0 0 36 48 36 4.44089209850063e-16
+0 0 1 0 0 36 48 38 4.44089209850063e-16
+0 0 1 0 0 36 48 40 4.44089209850063e-16
+0 0 1 0 0 36 48 42 4.44089209850063e-16
+0 0 1 0 0 36 48 44 4.44089209850063e-16
+0 0 1 0 0 36 48 46 4.44089209850063e-16
+0 0 1 0 0 36 48 48 4.44089209850063e-16
+0 0 1 0 0 36 48 50 4.44089209850063e-16
+0 0 1 0 0 36 48 52 4.44089209850063e-16
+0 0 1 0 0 36 48 54 4.44089209850063e-16
+0 0 1 0 0 36 48 56 4.44089209850063e-16
+0 0 1 0 0 36 48 58 4.44089209850063e-16
+0 0 1 0 0 36 48 60 4.44089209850063e-16
+0 0 1 0 0 36 48 62 4.44089209850063e-16
+0 0 1 0 0 36 48 64 4.44089209850063e-16
+0 0 1 0 0 36 48 66 4.44089209850063e-16
+0 0 1 0 0 36 48 68 4.44089209850063e-16
+0 0 1 0 0 36 48 70 4.44089209850063e-16
+0 0 1 0 0 36 48 72 4.44089209850063e-16
+0 0 1 0 0 36 48 74 4.44089209850063e-16
+0 0 1 0 0 36 48 76 4.44089209850063e-16
+0 0 1 0 0 36 48 78 4.44089209850063e-16
+0 0 1 0 0 36 48 80 4.44089209850063e-16
+0 0 1 0 0 36 48 82 4.44089209850063e-16
+0 0 1 0 0 36 48 84 4.44089209850063e-16
+0 0 1 0 0 36 48 86 4.44089209850063e-16
+0 0 1 0 0 36 48 88 4.44089209850063e-16
+0 0 1 0 0 36 48 90 4.44089209850063e-16
+0 0 1 0 0 36 48 92 4.44089209850063e-16
+0 0 1 0 0 36 48 94 4.44089209850063e-16
+0 0 1 0 0 36 48 96 4.44089209850063e-16
+0 0 1 0 0 36 48 98 4.44089209850063e-16
+0 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 4.44089209850063e-16
+0 0 0 0 0 36 48 4 4.44089209850063e-16
+0 0 0 0 0 36 48 8 4.44089209850063e-16
+0 0 0 0 0 36 48 12 4.44089209850063e-16
+0 0 0 0 0 36 48 16 4.44089209850063e-16
+0 0 0 0 0 36 48 20 4.44089209850063e-16
+0 0 0 0 0 36 48 24 4.44089209850063e-16
+0 0 0 0 0 36 48 28 4.44089209850063e-16
+0 0 0 0 0 36 48 32 4.44089209850063e-16
+0 0 0 0 0 36 48 36 4.44089209850063e-16
+0 0 0 0 0 36 48 40 4.44089209850063e-16
+0 0 0 0 0 36 48 44 4.44089209850063e-16
+0 0 0 0 0 36 48 48 4.44089209850063e-16
+0 0 0 0 0 36 48 52 4.44089209850063e-16
+0 0 0 0 0 36 48 56 4.44089209850063e-16
+0 0 0 0 0 36 48 60 4.44089209850063e-16
+0 0 0 0 0 36 48 64 4.44089209850063e-16
+0 0 0 0 0 36 48 68 4.44089209850063e-16
+0 0 0 0 0 36 48 72 4.44089209850063e-16
+0 0 0 0 0 36 48 76 4.44089209850063e-16
+0 0 0 0 0 36 48 80 4.44089209850063e-16
+0 0 0 0 0 36 48 84 4.44089209850063e-16
+0 0 0 0 0 36 48 88 4.44089209850063e-16
+0 0 0 0 0 36 48 92 4.44089209850063e-16
+0 0 0 0 0 36 48 96 4.44089209850063e-16
+0 0 0 0 0 36 48 100 4.44089209850063e-16
+0 0 0 0 0 36 48 104 4.44089209850063e-16
+0 0 0 0 0 36 48 108 4.44089209850063e-16
+0 0 0 0 0 36 48 112 4.44089209850063e-16
+0 0 0 0 0 36 48 116 4.44089209850063e-16
+0 0 0 0 0 36 48 120 4.44089209850063e-16
+0 0 0 0 0 36 48 124 4.44089209850063e-16
+0 0 0 0 0 36 48 128 4.44089209850063e-16
+0 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 4.44089209850063e-16
+1 0 2 0 0 36 48 52 4.44089209850063e-16
+1 0 2 0 0 36 48 53 4.44089209850063e-16
+1 0 2 0 0 36 48 54 4.44089209850063e-16
+1 0 2 0 0 36 48 55 4.44089209850063e-16
+1 0 2 0 0 36 48 56 4.44089209850063e-16
+1 0 2 0 0 36 48 57 4.44089209850063e-16
+1 0 2 0 0 36 48 58 4.44089209850063e-16
+1 0 2 0 0 36 48 59 4.44089209850063e-16
+1 0 2 0 0 36 48 60 4.44089209850063e-16
+1 0 2 0 0 36 48 61 4.44089209850063e-16
+1 0 2 0 0 36 48 62 4.44089209850063e-16
+1 0 2 0 0 36 48 63 4.44089209850063e-16
+1 0 2 0 0 36 48 64 4.44089209850063e-16
+1 0 2 0 0 36 48 65 4.44089209850063e-16
+1 0 2 0 0 36 48 66 4.44089209850063e-16
+1 0 2 0 0 36 48 67 4.44089209850063e-16
+1 0 2 0 0 36 48 68 4.44089209850063e-16
+1 0 2 0 0 36 48 69 4.44089209850063e-16
+1 0 2 0 0 36 48 70 4.44089209850063e-16
+1 0 2 0 0 36 48 71 4.44089209850063e-16
+1 0 2 0 0 36 48 72 4.44089209850063e-16
+1 0 2 0 0 36 48 73 4.44089209850063e-16
+1 0 2 0 0 36 48 74 4.44089209850063e-16
+1 0 2 0 0 36 48 75 4.44089209850063e-16
+1 0 2 0 0 36 48 76 4.44089209850063e-16
+1 0 2 0 0 36 48 77 4.44089209850063e-16
+1 0 2 0 0 36 48 78 4.44089209850063e-16
+1 0 2 0 0 36 48 79 4.44089209850063e-16
+1 0 2 0 0 36 48 80 4.44089209850063e-16
+1 0 2 0 0 36 48 81 4.44089209850063e-16
+1 0 2 0 0 36 48 82 4.44089209850063e-16
+1 0 2 0 0 36 48 83 4.44089209850063e-16
+1 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 4.44089209850063e-16
+2 0 2 0 0 36 48 52 4.44089209850063e-16
+2 0 2 0 0 36 48 53 4.44089209850063e-16
+2 0 2 0 0 36 48 54 4.44089209850063e-16
+2 0 2 0 0 36 48 55 4.44089209850063e-16
+2 0 2 0 0 36 48 56 4.44089209850063e-16
+2 0 2 0 0 36 48 57 4.44089209850063e-16
+2 0 2 0 0 36 48 58 4.44089209850063e-16
+2 0 2 0 0 36 48 59 4.44089209850063e-16
+2 0 2 0 0 36 48 60 4.44089209850063e-16
+2 0 2 0 0 36 48 61 4.44089209850063e-16
+2 0 2 0 0 36 48 62 4.44089209850063e-16
+2 0 2 0 0 36 48 63 4.44089209850063e-16
+2 0 2 0 0 36 48 64 4.44089209850063e-16
+2 0 2 0 0 36 48 65 4.44089209850063e-16
+2 0 2 0 0 36 48 66 4.44089209850063e-16
+2 0 2 0 0 36 48 67 4.44089209850063e-16
+2 0 2 0 0 36 48 68 4.44089209850063e-16
+2 0 2 0 0 36 48 69 4.44089209850063e-16
+2 0 2 0 0 36 48 70 4.44089209850063e-16
+2 0 2 0 0 36 48 71 4.44089209850063e-16
+2 0 2 0 0 36 48 72 4.44089209850063e-16
+2 0 2 0 0 36 48 73 4.44089209850063e-16
+2 0 2 0 0 36 48 74 4.44089209850063e-16
+2 0 2 0 0 36 48 75 4.44089209850063e-16
+2 0 2 0 0 36 48 76 4.44089209850063e-16
+2 0 2 0 0 36 48 77 4.44089209850063e-16
+2 0 2 0 0 36 48 78 4.44089209850063e-16
+2 0 2 0 0 36 48 79 4.44089209850063e-16
+2 0 2 0 0 36 48 80 4.44089209850063e-16
+2 0 2 0 0 36 48 81 4.44089209850063e-16
+2 0 2 0 0 36 48 82 4.44089209850063e-16
+2 0 2 0 0 36 48 83 4.44089209850063e-16
+2 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 4.44089209850063e-16
+2 0 1 0 0 36 48 36 4.44089209850063e-16
+2 0 1 0 0 36 48 38 4.44089209850063e-16
+2 0 1 0 0 36 48 40 4.44089209850063e-16
+2 0 1 0 0 36 48 42 4.44089209850063e-16
+2 0 1 0 0 36 48 44 4.44089209850063e-16
+2 0 1 0 0 36 48 46 4.44089209850063e-16
+2 0 1 0 0 36 48 48 4.44089209850063e-16
+2 0 1 0 0 36 48 50 4.44089209850063e-16
+2 0 1 0 0 36 48 52 4.44089209850063e-16
+2 0 1 0 0 36 48 54 4.44089209850063e-16
+2 0 1 0 0 36 48 56 4.44089209850063e-16
+2 0 1 0 0 36 48 58 4.44089209850063e-16
+2 0 1 0 0 36 48 60 4.44089209850063e-16
+2 0 1 0 0 36 48 62 4.44089209850063e-16
+2 0 1 0 0 36 48 64 4.44089209850063e-16
+2 0 1 0 0 36 48 66 4.44089209850063e-16
+2 0 1 0 0 36 48 68 4.44089209850063e-16
+2 0 1 0 0 36 48 70 4.44089209850063e-16
+2 0 1 0 0 36 48 72 4.44089209850063e-16
+2 0 1 0 0 36 48 74 4.44089209850063e-16
+2 0 1 0 0 36 48 76 4.44089209850063e-16
+2 0 1 0 0 36 48 78 4.44089209850063e-16
+2 0 1 0 0 36 48 80 4.44089209850063e-16
+2 0 1 0 0 36 48 82 4.44089209850063e-16
+2 0 1 0 0 36 48 84 4.44089209850063e-16
+2 0 1 0 0 36 48 86 4.44089209850063e-16
+2 0 1 0 0 36 48 88 4.44089209850063e-16
+2 0 1 0 0 36 48 90 4.44089209850063e-16
+2 0 1 0 0 36 48 92 4.44089209850063e-16
+2 0 1 0 0 36 48 94 4.44089209850063e-16
+2 0 1 0 0 36 48 96 4.44089209850063e-16
+2 0 1 0 0 36 48 98 4.44089209850063e-16
+2 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 4.44089209850063e-16
+3 0 2 0 0 36 48 52 4.44089209850063e-16
+3 0 2 0 0 36 48 53 4.44089209850063e-16
+3 0 2 0 0 36 48 54 4.44089209850063e-16
+3 0 2 0 0 36 48 55 4.44089209850063e-16
+3 0 2 0 0 36 48 56 4.44089209850063e-16
+3 0 2 0 0 36 48 57 4.44089209850063e-16
+3 0 2 0 0 36 48 58 4.44089209850063e-16
+3 0 2 0 0 36 48 59 4.44089209850063e-16
+3 0 2 0 0 36 48 60 4.44089209850063e-16
+3 0 2 0 0 36 48 61 4.44089209850063e-16
+3 0 2 0 0 36 48 62 4.44089209850063e-16
+3 0 2 0 0 36 48 63 4.44089209850063e-16
+3 0 2 0 0 36 48 64 4.44089209850063e-16
+3 0 2 0 0 36 48 65 4.44089209850063e-16
+3 0 2 0 0 36 48 66 4.44089209850063e-16
+3 0 2 0 0 36 48 67 4.44089209850063e-16
+3 0 2 0 0 36 48 68 4.44089209850063e-16
+3 0 2 0 0 36 48 69 4.44089209850063e-16
+3 0 2 0 0 36 48 70 4.44089209850063e-16
+3 0 2 0 0 36 48 71 4.44089209850063e-16
+3 0 2 0 0 36 48 72 4.44089209850063e-16
+3 0 2 0 0 36 48 73 4.44089209850063e-16
+3 0 2 0 0 36 48 74 4.44089209850063e-16
+3 0 2 0 0 36 48 75 4.44089209850063e-16
+3 0 2 0 0 36 48 76 4.44089209850063e-16
+3 0 2 0 0 36 48 77 4.44089209850063e-16
+3 0 2 0 0 36 48 78 4.44089209850063e-16
+3 0 2 0 0 36 48 79 4.44089209850063e-16
+3 0 2 0 0 36 48 80 4.44089209850063e-16
+3 0 2 0 0 36 48 81 4.44089209850063e-16
+3 0 2 0 0 36 48 82 4.44089209850063e-16
+3 0 2 0 0 36 48 83 4.44089209850063e-16
+3 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 4.44089209850063e-16
+4 0 2 0 0 36 48 52 4.44089209850063e-16
+4 0 2 0 0 36 48 53 4.44089209850063e-16
+4 0 2 0 0 36 48 54 4.44089209850063e-16
+4 0 2 0 0 36 48 55 4.44089209850063e-16
+4 0 2 0 0 36 48 56 4.44089209850063e-16
+4 0 2 0 0 36 48 57 4.44089209850063e-16
+4 0 2 0 0 36 48 58 4.44089209850063e-16
+4 0 2 0 0 36 48 59 4.44089209850063e-16
+4 0 2 0 0 36 48 60 4.44089209850063e-16
+4 0 2 0 0 36 48 61 4.44089209850063e-16
+4 0 2 0 0 36 48 62 4.44089209850063e-16
+4 0 2 0 0 36 48 63 4.44089209850063e-16
+4 0 2 0 0 36 48 64 4.44089209850063e-16
+4 0 2 0 0 36 48 65 4.44089209850063e-16
+4 0 2 0 0 36 48 66 4.44089209850063e-16
+4 0 2 0 0 36 48 67 4.44089209850063e-16
+4 0 2 0 0 36 48 68 4.44089209850063e-16
+4 0 2 0 0 36 48 69 4.44089209850063e-16
+4 0 2 0 0 36 48 70 4.44089209850063e-16
+4 0 2 0 0 36 48 71 4.44089209850063e-16
+4 0 2 0 0 36 48 72 4.44089209850063e-16
+4 0 2 0 0 36 48 73 4.44089209850063e-16
+4 0 2 0 0 36 48 74 4.44089209850063e-16
+4 0 2 0 0 36 48 75 4.44089209850063e-16
+4 0 2 0 0 36 48 76 4.44089209850063e-16
+4 0 2 0 0 36 48 77 4.44089209850063e-16
+4 0 2 0 0 36 48 78 4.44089209850063e-16
+4 0 2 0 0 36 48 79 4.44089209850063e-16
+4 0 2 0 0 36 48 80 4.44089209850063e-16
+4 0 2 0 0 36 48 81 4.44089209850063e-16
+4 0 2 0 0 36 48 82 4.44089209850063e-16
+4 0 2 0 0 36 48 83 4.44089209850063e-16
+4 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 4.44089209850063e-16
+4 0 1 0 0 36 48 36 4.44089209850063e-16
+4 0 1 0 0 36 48 38 4.44089209850063e-16
+4 0 1 0 0 36 48 40 4.44089209850063e-16
+4 0 1 0 0 36 48 42 4.44089209850063e-16
+4 0 1 0 0 36 48 44 4.44089209850063e-16
+4 0 1 0 0 36 48 46 4.44089209850063e-16
+4 0 1 0 0 36 48 48 4.44089209850063e-16
+4 0 1 0 0 36 48 50 4.44089209850063e-16
+4 0 1 0 0 36 48 52 4.44089209850063e-16
+4 0 1 0 0 36 48 54 4.44089209850063e-16
+4 0 1 0 0 36 48 56 4.44089209850063e-16
+4 0 1 0 0 36 48 58 4.44089209850063e-16
+4 0 1 0 0 36 48 60 4.44089209850063e-16
+4 0 1 0 0 36 48 62 4.44089209850063e-16
+4 0 1 0 0 36 48 64 4.44089209850063e-16
+4 0 1 0 0 36 48 66 4.44089209850063e-16
+4 0 1 0 0 36 48 68 4.44089209850063e-16
+4 0 1 0 0 36 48 70 4.44089209850063e-16
+4 0 1 0 0 36 48 72 4.44089209850063e-16
+4 0 1 0 0 36 48 74 4.44089209850063e-16
+4 0 1 0 0 36 48 76 4.44089209850063e-16
+4 0 1 0 0 36 48 78 4.44089209850063e-16
+4 0 1 0 0 36 48 80 4.44089209850063e-16
+4 0 1 0 0 36 48 82 4.44089209850063e-16
+4 0 1 0 0 36 48 84 4.44089209850063e-16
+4 0 1 0 0 36 48 86 4.44089209850063e-16
+4 0 1 0 0 36 48 88 4.44089209850063e-16
+4 0 1 0 0 36 48 90 4.44089209850063e-16
+4 0 1 0 0 36 48 92 4.44089209850063e-16
+4 0 1 0 0 36 48 94 4.44089209850063e-16
+4 0 1 0 0 36 48 96 4.44089209850063e-16
+4 0 1 0 0 36 48 98 4.44089209850063e-16
+4 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 4.44089209850063e-16
+4 0 0 0 0 36 48 4 4.44089209850063e-16
+4 0 0 0 0 36 48 8 4.44089209850063e-16
+4 0 0 0 0 36 48 12 4.44089209850063e-16
+4 0 0 0 0 36 48 16 4.44089209850063e-16
+4 0 0 0 0 36 48 20 4.44089209850063e-16
+4 0 0 0 0 36 48 24 4.44089209850063e-16
+4 0 0 0 0 36 48 28 4.44089209850063e-16
+4 0 0 0 0 36 48 32 4.44089209850063e-16
+4 0 0 0 0 36 48 36 4.44089209850063e-16
+4 0 0 0 0 36 48 40 4.44089209850063e-16
+4 0 0 0 0 36 48 44 4.44089209850063e-16
+4 0 0 0 0 36 48 48 4.44089209850063e-16
+4 0 0 0 0 36 48 52 4.44089209850063e-16
+4 0 0 0 0 36 48 56 4.44089209850063e-16
+4 0 0 0 0 36 48 60 4.44089209850063e-16
+4 0 0 0 0 36 48 64 4.44089209850063e-16
+4 0 0 0 0 36 48 68 4.44089209850063e-16
+4 0 0 0 0 36 48 72 4.44089209850063e-16
+4 0 0 0 0 36 48 76 4.44089209850063e-16
+4 0 0 0 0 36 48 80 4.44089209850063e-16
+4 0 0 0 0 36 48 84 4.44089209850063e-16
+4 0 0 0 0 36 48 88 4.44089209850063e-16
+4 0 0 0 0 36 48 92 4.44089209850063e-16
+4 0 0 0 0 36 48 96 4.44089209850063e-16
+4 0 0 0 0 36 48 100 4.44089209850063e-16
+4 0 0 0 0 36 48 104 4.44089209850063e-16
+4 0 0 0 0 36 48 108 4.44089209850063e-16
+4 0 0 0 0 36 48 112 4.44089209850063e-16
+4 0 0 0 0 36 48 116 4.44089209850063e-16
+4 0 0 0 0 36 48 120 4.44089209850063e-16
+4 0 0 0 0 36 48 124 4.44089209850063e-16
+4 0 0 0 0 36 48 128 4.44089209850063e-16
+4 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 4.44089209850063e-16
+5 0 2 0 0 36 48 52 4.44089209850063e-16
+5 0 2 0 0 36 48 53 4.44089209850063e-16
+5 0 2 0 0 36 48 54 4.44089209850063e-16
+5 0 2 0 0 36 48 55 4.44089209850063e-16
+5 0 2 0 0 36 48 56 4.44089209850063e-16
+5 0 2 0 0 36 48 57 4.44089209850063e-16
+5 0 2 0 0 36 48 58 4.44089209850063e-16
+5 0 2 0 0 36 48 59 4.44089209850063e-16
+5 0 2 0 0 36 48 60 4.44089209850063e-16
+5 0 2 0 0 36 48 61 4.44089209850063e-16
+5 0 2 0 0 36 48 62 4.44089209850063e-16
+5 0 2 0 0 36 48 63 4.44089209850063e-16
+5 0 2 0 0 36 48 64 4.44089209850063e-16
+5 0 2 0 0 36 48 65 4.44089209850063e-16
+5 0 2 0 0 36 48 66 4.44089209850063e-16
+5 0 2 0 0 36 48 67 4.44089209850063e-16
+5 0 2 0 0 36 48 68 4.44089209850063e-16
+5 0 2 0 0 36 48 69 4.44089209850063e-16
+5 0 2 0 0 36 48 70 4.44089209850063e-16
+5 0 2 0 0 36 48 71 4.44089209850063e-16
+5 0 2 0 0 36 48 72 4.44089209850063e-16
+5 0 2 0 0 36 48 73 4.44089209850063e-16
+5 0 2 0 0 36 48 74 4.44089209850063e-16
+5 0 2 0 0 36 48 75 4.44089209850063e-16
+5 0 2 0 0 36 48 76 4.44089209850063e-16
+5 0 2 0 0 36 48 77 4.44089209850063e-16
+5 0 2 0 0 36 48 78 4.44089209850063e-16
+5 0 2 0 0 36 48 79 4.44089209850063e-16
+5 0 2 0 0 36 48 80 4.44089209850063e-16
+5 0 2 0 0 36 48 81 4.44089209850063e-16
+5 0 2 0 0 36 48 82 4.44089209850063e-16
+5 0 2 0 0 36 48 83 4.44089209850063e-16
+5 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 4.44089209850063e-16
+6 0 2 0 0 36 48 52 4.44089209850063e-16
+6 0 2 0 0 36 48 53 4.44089209850063e-16
+6 0 2 0 0 36 48 54 4.44089209850063e-16
+6 0 2 0 0 36 48 55 4.44089209850063e-16
+6 0 2 0 0 36 48 56 4.44089209850063e-16
+6 0 2 0 0 36 48 57 4.44089209850063e-16
+6 0 2 0 0 36 48 58 4.44089209850063e-16
+6 0 2 0 0 36 48 59 4.44089209850063e-16
+6 0 2 0 0 36 48 60 4.44089209850063e-16
+6 0 2 0 0 36 48 61 4.44089209850063e-16
+6 0 2 0 0 36 48 62 4.44089209850063e-16
+6 0 2 0 0 36 48 63 4.44089209850063e-16
+6 0 2 0 0 36 48 64 4.44089209850063e-16
+6 0 2 0 0 36 48 65 4.44089209850063e-16
+6 0 2 0 0 36 48 66 4.44089209850063e-16
+6 0 2 0 0 36 48 67 4.44089209850063e-16
+6 0 2 0 0 36 48 68 4.44089209850063e-16
+6 0 2 0 0 36 48 69 4.44089209850063e-16
+6 0 2 0 0 36 48 70 4.44089209850063e-16
+6 0 2 0 0 36 48 71 4.44089209850063e-16
+6 0 2 0 0 36 48 72 4.44089209850063e-16
+6 0 2 0 0 36 48 73 4.44089209850063e-16
+6 0 2 0 0 36 48 74 4.44089209850063e-16
+6 0 2 0 0 36 48 75 4.44089209850063e-16
+6 0 2 0 0 36 48 76 4.44089209850063e-16
+6 0 2 0 0 36 48 77 4.44089209850063e-16
+6 0 2 0 0 36 48 78 4.44089209850063e-16
+6 0 2 0 0 36 48 79 4.44089209850063e-16
+6 0 2 0 0 36 48 80 4.44089209850063e-16
+6 0 2 0 0 36 48 81 4.44089209850063e-16
+6 0 2 0 0 36 48 82 4.44089209850063e-16
+6 0 2 0 0 36 48 83 4.44089209850063e-16
+6 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 4.44089209850063e-16
+6 0 1 0 0 36 48 36 4.44089209850063e-16
+6 0 1 0 0 36 48 38 4.44089209850063e-16
+6 0 1 0 0 36 48 40 4.44089209850063e-16
+6 0 1 0 0 36 48 42 4.44089209850063e-16
+6 0 1 0 0 36 48 44 4.44089209850063e-16
+6 0 1 0 0 36 48 46 4.44089209850063e-16
+6 0 1 0 0 36 48 48 4.44089209850063e-16
+6 0 1 0 0 36 48 50 4.44089209850063e-16
+6 0 1 0 0 36 48 52 4.44089209850063e-16
+6 0 1 0 0 36 48 54 4.44089209850063e-16
+6 0 1 0 0 36 48 56 4.44089209850063e-16
+6 0 1 0 0 36 48 58 4.44089209850063e-16
+6 0 1 0 0 36 48 60 4.44089209850063e-16
+6 0 1 0 0 36 48 62 4.44089209850063e-16
+6 0 1 0 0 36 48 64 4.44089209850063e-16
+6 0 1 0 0 36 48 66 4.44089209850063e-16
+6 0 1 0 0 36 48 68 4.44089209850063e-16
+6 0 1 0 0 36 48 70 4.44089209850063e-16
+6 0 1 0 0 36 48 72 4.44089209850063e-16
+6 0 1 0 0 36 48 74 4.44089209850063e-16
+6 0 1 0 0 36 48 76 4.44089209850063e-16
+6 0 1 0 0 36 48 78 4.44089209850063e-16
+6 0 1 0 0 36 48 80 4.44089209850063e-16
+6 0 1 0 0 36 48 82 4.44089209850063e-16
+6 0 1 0 0 36 48 84 4.44089209850063e-16
+6 0 1 0 0 36 48 86 4.44089209850063e-16
+6 0 1 0 0 36 48 88 4.44089209850063e-16
+6 0 1 0 0 36 48 90 4.44089209850063e-16
+6 0 1 0 0 36 48 92 4.44089209850063e-16
+6 0 1 0 0 36 48 94 4.44089209850063e-16
+6 0 1 0 0 36 48 96 4.44089209850063e-16
+6 0 1 0 0 36 48 98 4.44089209850063e-16
+6 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 4.44089209850063e-16
+7 0 2 0 0 36 48 52 4.44089209850063e-16
+7 0 2 0 0 36 48 53 4.44089209850063e-16
+7 0 2 0 0 36 48 54 4.44089209850063e-16
+7 0 2 0 0 36 48 55 4.44089209850063e-16
+7 0 2 0 0 36 48 56 4.44089209850063e-16
+7 0 2 0 0 36 48 57 4.44089209850063e-16
+7 0 2 0 0 36 48 58 4.44089209850063e-16
+7 0 2 0 0 36 48 59 4.44089209850063e-16
+7 0 2 0 0 36 48 60 4.44089209850063e-16
+7 0 2 0 0 36 48 61 4.44089209850063e-16
+7 0 2 0 0 36 48 62 4.44089209850063e-16
+7 0 2 0 0 36 48 63 4.44089209850063e-16
+7 0 2 0 0 36 48 64 4.44089209850063e-16
+7 0 2 0 0 36 48 65 4.44089209850063e-16
+7 0 2 0 0 36 48 66 4.44089209850063e-16
+7 0 2 0 0 36 48 67 4.44089209850063e-16
+7 0 2 0 0 36 48 68 4.44089209850063e-16
+7 0 2 0 0 36 48 69 4.44089209850063e-16
+7 0 2 0 0 36 48 70 4.44089209850063e-16
+7 0 2 0 0 36 48 71 4.44089209850063e-16
+7 0 2 0 0 36 48 72 4.44089209850063e-16
+7 0 2 0 0 36 48 73 4.44089209850063e-16
+7 0 2 0 0 36 48 74 4.44089209850063e-16
+7 0 2 0 0 36 48 75 4.44089209850063e-16
+7 0 2 0 0 36 48 76 4.44089209850063e-16
+7 0 2 0 0 36 48 77 4.44089209850063e-16
+7 0 2 0 0 36 48 78 4.44089209850063e-16
+7 0 2 0 0 36 48 79 4.44089209850063e-16
+7 0 2 0 0 36 48 80 4.44089209850063e-16
+7 0 2 0 0 36 48 81 4.44089209850063e-16
+7 0 2 0 0 36 48 82 4.44089209850063e-16
+7 0 2 0 0 36 48 83 4.44089209850063e-16
+7 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 4.44089209850063e-16
+8 0 2 0 0 36 48 52 4.44089209850063e-16
+8 0 2 0 0 36 48 53 4.44089209850063e-16
+8 0 2 0 0 36 48 54 4.44089209850063e-16
+8 0 2 0 0 36 48 55 4.44089209850063e-16
+8 0 2 0 0 36 48 56 4.44089209850063e-16
+8 0 2 0 0 36 48 57 4.44089209850063e-16
+8 0 2 0 0 36 48 58 4.44089209850063e-16
+8 0 2 0 0 36 48 59 4.44089209850063e-16
+8 0 2 0 0 36 48 60 4.44089209850063e-16
+8 0 2 0 0 36 48 61 4.44089209850063e-16
+8 0 2 0 0 36 48 62 4.44089209850063e-16
+8 0 2 0 0 36 48 63 4.44089209850063e-16
+8 0 2 0 0 36 48 64 4.44089209850063e-16
+8 0 2 0 0 36 48 65 4.44089209850063e-16
+8 0 2 0 0 36 48 66 4.44089209850063e-16
+8 0 2 0 0 36 48 67 4.44089209850063e-16
+8 0 2 0 0 36 48 68 4.44089209850063e-16
+8 0 2 0 0 36 48 69 4.44089209850063e-16
+8 0 2 0 0 36 48 70 4.44089209850063e-16
+8 0 2 0 0 36 48 71 4.44089209850063e-16
+8 0 2 0 0 36 48 72 4.44089209850063e-16
+8 0 2 0 0 36 48 73 4.44089209850063e-16
+8 0 2 0 0 36 48 74 4.44089209850063e-16
+8 0 2 0 0 36 48 75 4.44089209850063e-16
+8 0 2 0 0 36 48 76 4.44089209850063e-16
+8 0 2 0 0 36 48 77 4.44089209850063e-16
+8 0 2 0 0 36 48 78 4.44089209850063e-16
+8 0 2 0 0 36 48 79 4.44089209850063e-16
+8 0 2 0 0 36 48 80 4.44089209850063e-16
+8 0 2 0 0 36 48 81 4.44089209850063e-16
+8 0 2 0 0 36 48 82 4.44089209850063e-16
+8 0 2 0 0 36 48 83 4.44089209850063e-16
+8 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 4.44089209850063e-16
+8 0 1 0 0 36 48 36 4.44089209850063e-16
+8 0 1 0 0 36 48 38 4.44089209850063e-16
+8 0 1 0 0 36 48 40 4.44089209850063e-16
+8 0 1 0 0 36 48 42 4.44089209850063e-16
+8 0 1 0 0 36 48 44 4.44089209850063e-16
+8 0 1 0 0 36 48 46 4.44089209850063e-16
+8 0 1 0 0 36 48 48 4.44089209850063e-16
+8 0 1 0 0 36 48 50 4.44089209850063e-16
+8 0 1 0 0 36 48 52 4.44089209850063e-16
+8 0 1 0 0 36 48 54 4.44089209850063e-16
+8 0 1 0 0 36 48 56 4.44089209850063e-16
+8 0 1 0 0 36 48 58 4.44089209850063e-16
+8 0 1 0 0 36 48 60 4.44089209850063e-16
+8 0 1 0 0 36 48 62 4.44089209850063e-16
+8 0 1 0 0 36 48 64 4.44089209850063e-16
+8 0 1 0 0 36 48 66 4.44089209850063e-16
+8 0 1 0 0 36 48 68 4.44089209850063e-16
+8 0 1 0 0 36 48 70 4.44089209850063e-16
+8 0 1 0 0 36 48 72 4.44089209850063e-16
+8 0 1 0 0 36 48 74 4.44089209850063e-16
+8 0 1 0 0 36 48 76 4.44089209850063e-16
+8 0 1 0 0 36 48 78 4.44089209850063e-16
+8 0 1 0 0 36 48 80 4.44089209850063e-16
+8 0 1 0 0 36 48 82 4.44089209850063e-16
+8 0 1 0 0 36 48 84 4.44089209850063e-16
+8 0 1 0 0 36 48 86 4.44089209850063e-16
+8 0 1 0 0 36 48 88 4.44089209850063e-16
+8 0 1 0 0 36 48 90 4.44089209850063e-16
+8 0 1 0 0 36 48 92 4.44089209850063e-16
+8 0 1 0 0 36 48 94 4.44089209850063e-16
+8 0 1 0 0 36 48 96 4.44089209850063e-16
+8 0 1 0 0 36 48 98 4.44089209850063e-16
+8 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 4.44089209850063e-16
+8 0 0 0 0 36 48 4 4.44089209850063e-16
+8 0 0 0 0 36 48 8 4.44089209850063e-16
+8 0 0 0 0 36 48 12 4.44089209850063e-16
+8 0 0 0 0 36 48 16 4.44089209850063e-16
+8 0 0 0 0 36 48 20 4.44089209850063e-16
+8 0 0 0 0 36 48 24 4.44089209850063e-16
+8 0 0 0 0 36 48 28 4.44089209850063e-16
+8 0 0 0 0 36 48 32 4.44089209850063e-16
+8 0 0 0 0 36 48 36 4.44089209850063e-16
+8 0 0 0 0 36 48 40 4.44089209850063e-16
+8 0 0 0 0 36 48 44 4.44089209850063e-16
+8 0 0 0 0 36 48 48 4.44089209850063e-16
+8 0 0 0 0 36 48 52 4.44089209850063e-16
+8 0 0 0 0 36 48 56 4.44089209850063e-16
+8 0 0 0 0 36 48 60 4.44089209850063e-16
+8 0 0 0 0 36 48 64 4.44089209850063e-16
+8 0 0 0 0 36 48 68 4.44089209850063e-16
+8 0 0 0 0 36 48 72 4.44089209850063e-16
+8 0 0 0 0 36 48 76 4.44089209850063e-16
+8 0 0 0 0 36 48 80 4.44089209850063e-16
+8 0 0 0 0 36 48 84 4.44089209850063e-16
+8 0 0 0 0 36 48 88 4.44089209850063e-16
+8 0 0 0 0 36 48 92 4.44089209850063e-16
+8 0 0 0 0 36 48 96 4.44089209850063e-16
+8 0 0 0 0 36 48 100 4.44089209850063e-16
+8 0 0 0 0 36 48 104 4.44089209850063e-16
+8 0 0 0 0 36 48 108 4.44089209850063e-16
+8 0 0 0 0 36 48 112 4.44089209850063e-16
+8 0 0 0 0 36 48 116 4.44089209850063e-16
+8 0 0 0 0 36 48 120 4.44089209850063e-16
+8 0 0 0 0 36 48 124 4.44089209850063e-16
+8 0 0 0 0 36 48 128 4.44089209850063e-16
+8 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 4.44089209850063e-16
+9 0 2 0 0 36 48 52 4.44089209850063e-16
+9 0 2 0 0 36 48 53 4.44089209850063e-16
+9 0 2 0 0 36 48 54 4.44089209850063e-16
+9 0 2 0 0 36 48 55 4.44089209850063e-16
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+9 0 2 0 0 36 48 65 4.44089209850063e-16
+9 0 2 0 0 36 48 66 4.44089209850063e-16
+9 0 2 0 0 36 48 67 4.44089209850063e-16
+9 0 2 0 0 36 48 68 4.44089209850063e-16
+9 0 2 0 0 36 48 69 4.44089209850063e-16
+9 0 2 0 0 36 48 70 4.44089209850063e-16
+9 0 2 0 0 36 48 71 4.44089209850063e-16
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+9 0 2 0 0 36 48 73 4.44089209850063e-16
+9 0 2 0 0 36 48 74 4.44089209850063e-16
+9 0 2 0 0 36 48 75 4.44089209850063e-16
+9 0 2 0 0 36 48 76 4.44089209850063e-16
+9 0 2 0 0 36 48 77 4.44089209850063e-16
+9 0 2 0 0 36 48 78 4.44089209850063e-16
+9 0 2 0 0 36 48 79 4.44089209850063e-16
+9 0 2 0 0 36 48 80 4.44089209850063e-16
+9 0 2 0 0 36 48 81 4.44089209850063e-16
+9 0 2 0 0 36 48 82 4.44089209850063e-16
+9 0 2 0 0 36 48 83 4.44089209850063e-16
+9 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 4.44089209850063e-16
+10 0 2 0 0 36 48 52 4.44089209850063e-16
+10 0 2 0 0 36 48 53 4.44089209850063e-16
+10 0 2 0 0 36 48 54 4.44089209850063e-16
+10 0 2 0 0 36 48 55 4.44089209850063e-16
+10 0 2 0 0 36 48 56 4.44089209850063e-16
+10 0 2 0 0 36 48 57 4.44089209850063e-16
+10 0 2 0 0 36 48 58 4.44089209850063e-16
+10 0 2 0 0 36 48 59 4.44089209850063e-16
+10 0 2 0 0 36 48 60 4.44089209850063e-16
+10 0 2 0 0 36 48 61 4.44089209850063e-16
+10 0 2 0 0 36 48 62 4.44089209850063e-16
+10 0 2 0 0 36 48 63 4.44089209850063e-16
+10 0 2 0 0 36 48 64 4.44089209850063e-16
+10 0 2 0 0 36 48 65 4.44089209850063e-16
+10 0 2 0 0 36 48 66 4.44089209850063e-16
+10 0 2 0 0 36 48 67 4.44089209850063e-16
+10 0 2 0 0 36 48 68 4.44089209850063e-16
+10 0 2 0 0 36 48 69 4.44089209850063e-16
+10 0 2 0 0 36 48 70 4.44089209850063e-16
+10 0 2 0 0 36 48 71 4.44089209850063e-16
+10 0 2 0 0 36 48 72 4.44089209850063e-16
+10 0 2 0 0 36 48 73 4.44089209850063e-16
+10 0 2 0 0 36 48 74 4.44089209850063e-16
+10 0 2 0 0 36 48 75 4.44089209850063e-16
+10 0 2 0 0 36 48 76 4.44089209850063e-16
+10 0 2 0 0 36 48 77 4.44089209850063e-16
+10 0 2 0 0 36 48 78 4.44089209850063e-16
+10 0 2 0 0 36 48 79 4.44089209850063e-16
+10 0 2 0 0 36 48 80 4.44089209850063e-16
+10 0 2 0 0 36 48 81 4.44089209850063e-16
+10 0 2 0 0 36 48 82 4.44089209850063e-16
+10 0 2 0 0 36 48 83 4.44089209850063e-16
+10 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 4.44089209850063e-16
+10 0 1 0 0 36 48 36 4.44089209850063e-16
+10 0 1 0 0 36 48 38 4.44089209850063e-16
+10 0 1 0 0 36 48 40 4.44089209850063e-16
+10 0 1 0 0 36 48 42 4.44089209850063e-16
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+10 0 1 0 0 36 48 48 4.44089209850063e-16
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+10 0 1 0 0 36 48 58 4.44089209850063e-16
+10 0 1 0 0 36 48 60 4.44089209850063e-16
+10 0 1 0 0 36 48 62 4.44089209850063e-16
+10 0 1 0 0 36 48 64 4.44089209850063e-16
+10 0 1 0 0 36 48 66 4.44089209850063e-16
+10 0 1 0 0 36 48 68 4.44089209850063e-16
+10 0 1 0 0 36 48 70 4.44089209850063e-16
+10 0 1 0 0 36 48 72 4.44089209850063e-16
+10 0 1 0 0 36 48 74 4.44089209850063e-16
+10 0 1 0 0 36 48 76 4.44089209850063e-16
+10 0 1 0 0 36 48 78 4.44089209850063e-16
+10 0 1 0 0 36 48 80 4.44089209850063e-16
+10 0 1 0 0 36 48 82 4.44089209850063e-16
+10 0 1 0 0 36 48 84 4.44089209850063e-16
+10 0 1 0 0 36 48 86 4.44089209850063e-16
+10 0 1 0 0 36 48 88 4.44089209850063e-16
+10 0 1 0 0 36 48 90 4.44089209850063e-16
+10 0 1 0 0 36 48 92 4.44089209850063e-16
+10 0 1 0 0 36 48 94 4.44089209850063e-16
+10 0 1 0 0 36 48 96 4.44089209850063e-16
+10 0 1 0 0 36 48 98 4.44089209850063e-16
+10 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 4.44089209850063e-16
+11 0 2 0 0 36 48 52 4.44089209850063e-16
+11 0 2 0 0 36 48 53 4.44089209850063e-16
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+11 0 2 0 0 36 48 67 4.44089209850063e-16
+11 0 2 0 0 36 48 68 4.44089209850063e-16
+11 0 2 0 0 36 48 69 4.44089209850063e-16
+11 0 2 0 0 36 48 70 4.44089209850063e-16
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+11 0 2 0 0 36 48 73 4.44089209850063e-16
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+11 0 2 0 0 36 48 77 4.44089209850063e-16
+11 0 2 0 0 36 48 78 4.44089209850063e-16
+11 0 2 0 0 36 48 79 4.44089209850063e-16
+11 0 2 0 0 36 48 80 4.44089209850063e-16
+11 0 2 0 0 36 48 81 4.44089209850063e-16
+11 0 2 0 0 36 48 82 4.44089209850063e-16
+11 0 2 0 0 36 48 83 4.44089209850063e-16
+11 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 4.44089209850063e-16
+12 0 2 0 0 36 48 52 4.44089209850063e-16
+12 0 2 0 0 36 48 53 4.44089209850063e-16
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+12 0 2 0 0 36 48 65 4.44089209850063e-16
+12 0 2 0 0 36 48 66 4.44089209850063e-16
+12 0 2 0 0 36 48 67 4.44089209850063e-16
+12 0 2 0 0 36 48 68 4.44089209850063e-16
+12 0 2 0 0 36 48 69 4.44089209850063e-16
+12 0 2 0 0 36 48 70 4.44089209850063e-16
+12 0 2 0 0 36 48 71 4.44089209850063e-16
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+12 0 2 0 0 36 48 73 4.44089209850063e-16
+12 0 2 0 0 36 48 74 4.44089209850063e-16
+12 0 2 0 0 36 48 75 4.44089209850063e-16
+12 0 2 0 0 36 48 76 4.44089209850063e-16
+12 0 2 0 0 36 48 77 4.44089209850063e-16
+12 0 2 0 0 36 48 78 4.44089209850063e-16
+12 0 2 0 0 36 48 79 4.44089209850063e-16
+12 0 2 0 0 36 48 80 4.44089209850063e-16
+12 0 2 0 0 36 48 81 4.44089209850063e-16
+12 0 2 0 0 36 48 82 4.44089209850063e-16
+12 0 2 0 0 36 48 83 4.44089209850063e-16
+12 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 4.44089209850063e-16
+12 0 1 0 0 36 48 36 4.44089209850063e-16
+12 0 1 0 0 36 48 38 4.44089209850063e-16
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+12 0 1 0 0 36 48 62 4.44089209850063e-16
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+12 0 1 0 0 36 48 66 4.44089209850063e-16
+12 0 1 0 0 36 48 68 4.44089209850063e-16
+12 0 1 0 0 36 48 70 4.44089209850063e-16
+12 0 1 0 0 36 48 72 4.44089209850063e-16
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+12 0 1 0 0 36 48 78 4.44089209850063e-16
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+12 0 1 0 0 36 48 82 4.44089209850063e-16
+12 0 1 0 0 36 48 84 4.44089209850063e-16
+12 0 1 0 0 36 48 86 4.44089209850063e-16
+12 0 1 0 0 36 48 88 4.44089209850063e-16
+12 0 1 0 0 36 48 90 4.44089209850063e-16
+12 0 1 0 0 36 48 92 4.44089209850063e-16
+12 0 1 0 0 36 48 94 4.44089209850063e-16
+12 0 1 0 0 36 48 96 4.44089209850063e-16
+12 0 1 0 0 36 48 98 4.44089209850063e-16
+12 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 4.44089209850063e-16
+12 0 0 0 0 36 48 4 4.44089209850063e-16
+12 0 0 0 0 36 48 8 4.44089209850063e-16
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+12 0 0 0 0 36 48 16 4.44089209850063e-16
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+12 0 0 0 0 36 48 60 4.44089209850063e-16
+12 0 0 0 0 36 48 64 4.44089209850063e-16
+12 0 0 0 0 36 48 68 4.44089209850063e-16
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+12 0 0 0 0 36 48 88 4.44089209850063e-16
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+12 0 0 0 0 36 48 96 4.44089209850063e-16
+12 0 0 0 0 36 48 100 4.44089209850063e-16
+12 0 0 0 0 36 48 104 4.44089209850063e-16
+12 0 0 0 0 36 48 108 4.44089209850063e-16
+12 0 0 0 0 36 48 112 4.44089209850063e-16
+12 0 0 0 0 36 48 116 4.44089209850063e-16
+12 0 0 0 0 36 48 120 4.44089209850063e-16
+12 0 0 0 0 36 48 124 4.44089209850063e-16
+12 0 0 0 0 36 48 128 4.44089209850063e-16
+12 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 4.44089209850063e-16
+13 0 2 0 0 36 48 52 4.44089209850063e-16
+13 0 2 0 0 36 48 53 4.44089209850063e-16
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+13 0 2 0 0 36 48 68 4.44089209850063e-16
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+13 0 2 0 0 36 48 71 4.44089209850063e-16
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+13 0 2 0 0 36 48 73 4.44089209850063e-16
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+13 0 2 0 0 36 48 75 4.44089209850063e-16
+13 0 2 0 0 36 48 76 4.44089209850063e-16
+13 0 2 0 0 36 48 77 4.44089209850063e-16
+13 0 2 0 0 36 48 78 4.44089209850063e-16
+13 0 2 0 0 36 48 79 4.44089209850063e-16
+13 0 2 0 0 36 48 80 4.44089209850063e-16
+13 0 2 0 0 36 48 81 4.44089209850063e-16
+13 0 2 0 0 36 48 82 4.44089209850063e-16
+13 0 2 0 0 36 48 83 4.44089209850063e-16
+13 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 4.44089209850063e-16
+14 0 2 0 0 36 48 52 4.44089209850063e-16
+14 0 2 0 0 36 48 53 4.44089209850063e-16
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+14 0 2 0 0 36 48 55 4.44089209850063e-16
+14 0 2 0 0 36 48 56 4.44089209850063e-16
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+14 0 2 0 0 36 48 66 4.44089209850063e-16
+14 0 2 0 0 36 48 67 4.44089209850063e-16
+14 0 2 0 0 36 48 68 4.44089209850063e-16
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+14 0 2 0 0 36 48 71 4.44089209850063e-16
+14 0 2 0 0 36 48 72 4.44089209850063e-16
+14 0 2 0 0 36 48 73 4.44089209850063e-16
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+14 0 2 0 0 36 48 75 4.44089209850063e-16
+14 0 2 0 0 36 48 76 4.44089209850063e-16
+14 0 2 0 0 36 48 77 4.44089209850063e-16
+14 0 2 0 0 36 48 78 4.44089209850063e-16
+14 0 2 0 0 36 48 79 4.44089209850063e-16
+14 0 2 0 0 36 48 80 4.44089209850063e-16
+14 0 2 0 0 36 48 81 4.44089209850063e-16
+14 0 2 0 0 36 48 82 4.44089209850063e-16
+14 0 2 0 0 36 48 83 4.44089209850063e-16
+14 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 4.44089209850063e-16
+14 0 1 0 0 36 48 36 4.44089209850063e-16
+14 0 1 0 0 36 48 38 4.44089209850063e-16
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+14 0 1 0 0 36 48 42 4.44089209850063e-16
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+14 0 1 0 0 36 48 62 4.44089209850063e-16
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+14 0 1 0 0 36 48 68 4.44089209850063e-16
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+14 0 1 0 0 36 48 78 4.44089209850063e-16
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+14 0 1 0 0 36 48 82 4.44089209850063e-16
+14 0 1 0 0 36 48 84 4.44089209850063e-16
+14 0 1 0 0 36 48 86 4.44089209850063e-16
+14 0 1 0 0 36 48 88 4.44089209850063e-16
+14 0 1 0 0 36 48 90 4.44089209850063e-16
+14 0 1 0 0 36 48 92 4.44089209850063e-16
+14 0 1 0 0 36 48 94 4.44089209850063e-16
+14 0 1 0 0 36 48 96 4.44089209850063e-16
+14 0 1 0 0 36 48 98 4.44089209850063e-16
+14 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 4.44089209850063e-16
+15 0 2 0 0 36 48 52 4.44089209850063e-16
+15 0 2 0 0 36 48 53 4.44089209850063e-16
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+15 0 2 0 0 36 48 55 4.44089209850063e-16
+15 0 2 0 0 36 48 56 4.44089209850063e-16
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+15 0 2 0 0 36 48 83 4.44089209850063e-16
+15 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 4.44089209850063e-16
+16 0 2 0 0 36 48 52 4.44089209850063e-16
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+16 0 2 0 0 36 48 79 4.44089209850063e-16
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+16 0 2 0 0 36 48 83 4.44089209850063e-16
+16 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 4.44089209850063e-16
+16 0 1 0 0 36 48 36 4.44089209850063e-16
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+16 0 1 0 0 36 48 98 4.44089209850063e-16
+16 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 4.44089209850063e-16
+16 0 0 0 0 36 48 4 4.44089209850063e-16
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+16 0 0 0 0 36 48 128 4.44089209850063e-16
+16 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 4.44089209850063e-16
+17 0 2 0 0 36 48 52 4.44089209850063e-16
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+17 0 2 0 0 36 48 83 4.44089209850063e-16
+17 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 4.44089209850063e-16
+18 0 2 0 0 36 48 52 4.44089209850063e-16
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+18 0 2 0 0 36 48 83 4.44089209850063e-16
+18 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 4.44089209850063e-16
+18 0 1 0 0 36 48 36 4.44089209850063e-16
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+18 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 4.44089209850063e-16
+19 0 2 0 0 36 48 52 4.44089209850063e-16
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+19 0 2 0 0 36 48 83 4.44089209850063e-16
+19 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 4.44089209850063e-16
+20 0 2 0 0 36 48 52 4.44089209850063e-16
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+20 0 2 0 0 36 48 79 4.44089209850063e-16
+20 0 2 0 0 36 48 80 4.44089209850063e-16
+20 0 2 0 0 36 48 81 4.44089209850063e-16
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+20 0 2 0 0 36 48 83 4.44089209850063e-16
+20 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 4.44089209850063e-16
+20 0 1 0 0 36 48 36 4.44089209850063e-16
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+20 0 1 0 0 36 48 98 4.44089209850063e-16
+20 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 4.44089209850063e-16
+20 0 0 0 0 36 48 4 4.44089209850063e-16
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+20 0 0 0 0 36 48 76 4.44089209850063e-16
+20 0 0 0 0 36 48 80 4.44089209850063e-16
+20 0 0 0 0 36 48 84 4.44089209850063e-16
+20 0 0 0 0 36 48 88 4.44089209850063e-16
+20 0 0 0 0 36 48 92 4.44089209850063e-16
+20 0 0 0 0 36 48 96 4.44089209850063e-16
+20 0 0 0 0 36 48 100 4.44089209850063e-16
+20 0 0 0 0 36 48 104 4.44089209850063e-16
+20 0 0 0 0 36 48 108 4.44089209850063e-16
+20 0 0 0 0 36 48 112 4.44089209850063e-16
+20 0 0 0 0 36 48 116 4.44089209850063e-16
+20 0 0 0 0 36 48 120 4.44089209850063e-16
+20 0 0 0 0 36 48 124 4.44089209850063e-16
+20 0 0 0 0 36 48 128 4.44089209850063e-16
+20 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 4.44089209850063e-16
+21 0 2 0 0 36 48 52 4.44089209850063e-16
+21 0 2 0 0 36 48 53 4.44089209850063e-16
+21 0 2 0 0 36 48 54 4.44089209850063e-16
+21 0 2 0 0 36 48 55 4.44089209850063e-16
+21 0 2 0 0 36 48 56 4.44089209850063e-16
+21 0 2 0 0 36 48 57 4.44089209850063e-16
+21 0 2 0 0 36 48 58 4.44089209850063e-16
+21 0 2 0 0 36 48 59 4.44089209850063e-16
+21 0 2 0 0 36 48 60 4.44089209850063e-16
+21 0 2 0 0 36 48 61 4.44089209850063e-16
+21 0 2 0 0 36 48 62 4.44089209850063e-16
+21 0 2 0 0 36 48 63 4.44089209850063e-16
+21 0 2 0 0 36 48 64 4.44089209850063e-16
+21 0 2 0 0 36 48 65 4.44089209850063e-16
+21 0 2 0 0 36 48 66 4.44089209850063e-16
+21 0 2 0 0 36 48 67 4.44089209850063e-16
+21 0 2 0 0 36 48 68 4.44089209850063e-16
+21 0 2 0 0 36 48 69 4.44089209850063e-16
+21 0 2 0 0 36 48 70 4.44089209850063e-16
+21 0 2 0 0 36 48 71 4.44089209850063e-16
+21 0 2 0 0 36 48 72 4.44089209850063e-16
+21 0 2 0 0 36 48 73 4.44089209850063e-16
+21 0 2 0 0 36 48 74 4.44089209850063e-16
+21 0 2 0 0 36 48 75 4.44089209850063e-16
+21 0 2 0 0 36 48 76 4.44089209850063e-16
+21 0 2 0 0 36 48 77 4.44089209850063e-16
+21 0 2 0 0 36 48 78 4.44089209850063e-16
+21 0 2 0 0 36 48 79 4.44089209850063e-16
+21 0 2 0 0 36 48 80 4.44089209850063e-16
+21 0 2 0 0 36 48 81 4.44089209850063e-16
+21 0 2 0 0 36 48 82 4.44089209850063e-16
+21 0 2 0 0 36 48 83 4.44089209850063e-16
+21 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 4.44089209850063e-16
+22 0 2 0 0 36 48 52 4.44089209850063e-16
+22 0 2 0 0 36 48 53 4.44089209850063e-16
+22 0 2 0 0 36 48 54 4.44089209850063e-16
+22 0 2 0 0 36 48 55 4.44089209850063e-16
+22 0 2 0 0 36 48 56 4.44089209850063e-16
+22 0 2 0 0 36 48 57 4.44089209850063e-16
+22 0 2 0 0 36 48 58 4.44089209850063e-16
+22 0 2 0 0 36 48 59 4.44089209850063e-16
+22 0 2 0 0 36 48 60 4.44089209850063e-16
+22 0 2 0 0 36 48 61 4.44089209850063e-16
+22 0 2 0 0 36 48 62 4.44089209850063e-16
+22 0 2 0 0 36 48 63 4.44089209850063e-16
+22 0 2 0 0 36 48 64 4.44089209850063e-16
+22 0 2 0 0 36 48 65 4.44089209850063e-16
+22 0 2 0 0 36 48 66 4.44089209850063e-16
+22 0 2 0 0 36 48 67 4.44089209850063e-16
+22 0 2 0 0 36 48 68 4.44089209850063e-16
+22 0 2 0 0 36 48 69 4.44089209850063e-16
+22 0 2 0 0 36 48 70 4.44089209850063e-16
+22 0 2 0 0 36 48 71 4.44089209850063e-16
+22 0 2 0 0 36 48 72 4.44089209850063e-16
+22 0 2 0 0 36 48 73 4.44089209850063e-16
+22 0 2 0 0 36 48 74 4.44089209850063e-16
+22 0 2 0 0 36 48 75 4.44089209850063e-16
+22 0 2 0 0 36 48 76 4.44089209850063e-16
+22 0 2 0 0 36 48 77 4.44089209850063e-16
+22 0 2 0 0 36 48 78 4.44089209850063e-16
+22 0 2 0 0 36 48 79 4.44089209850063e-16
+22 0 2 0 0 36 48 80 4.44089209850063e-16
+22 0 2 0 0 36 48 81 4.44089209850063e-16
+22 0 2 0 0 36 48 82 4.44089209850063e-16
+22 0 2 0 0 36 48 83 4.44089209850063e-16
+22 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 4.44089209850063e-16
+22 0 1 0 0 36 48 36 4.44089209850063e-16
+22 0 1 0 0 36 48 38 4.44089209850063e-16
+22 0 1 0 0 36 48 40 4.44089209850063e-16
+22 0 1 0 0 36 48 42 4.44089209850063e-16
+22 0 1 0 0 36 48 44 4.44089209850063e-16
+22 0 1 0 0 36 48 46 4.44089209850063e-16
+22 0 1 0 0 36 48 48 4.44089209850063e-16
+22 0 1 0 0 36 48 50 4.44089209850063e-16
+22 0 1 0 0 36 48 52 4.44089209850063e-16
+22 0 1 0 0 36 48 54 4.44089209850063e-16
+22 0 1 0 0 36 48 56 4.44089209850063e-16
+22 0 1 0 0 36 48 58 4.44089209850063e-16
+22 0 1 0 0 36 48 60 4.44089209850063e-16
+22 0 1 0 0 36 48 62 4.44089209850063e-16
+22 0 1 0 0 36 48 64 4.44089209850063e-16
+22 0 1 0 0 36 48 66 4.44089209850063e-16
+22 0 1 0 0 36 48 68 4.44089209850063e-16
+22 0 1 0 0 36 48 70 4.44089209850063e-16
+22 0 1 0 0 36 48 72 4.44089209850063e-16
+22 0 1 0 0 36 48 74 4.44089209850063e-16
+22 0 1 0 0 36 48 76 4.44089209850063e-16
+22 0 1 0 0 36 48 78 4.44089209850063e-16
+22 0 1 0 0 36 48 80 4.44089209850063e-16
+22 0 1 0 0 36 48 82 4.44089209850063e-16
+22 0 1 0 0 36 48 84 4.44089209850063e-16
+22 0 1 0 0 36 48 86 4.44089209850063e-16
+22 0 1 0 0 36 48 88 4.44089209850063e-16
+22 0 1 0 0 36 48 90 4.44089209850063e-16
+22 0 1 0 0 36 48 92 4.44089209850063e-16
+22 0 1 0 0 36 48 94 4.44089209850063e-16
+22 0 1 0 0 36 48 96 4.44089209850063e-16
+22 0 1 0 0 36 48 98 4.44089209850063e-16
+22 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 4.44089209850063e-16
+23 0 2 0 0 36 48 52 4.44089209850063e-16
+23 0 2 0 0 36 48 53 4.44089209850063e-16
+23 0 2 0 0 36 48 54 4.44089209850063e-16
+23 0 2 0 0 36 48 55 4.44089209850063e-16
+23 0 2 0 0 36 48 56 4.44089209850063e-16
+23 0 2 0 0 36 48 57 4.44089209850063e-16
+23 0 2 0 0 36 48 58 4.44089209850063e-16
+23 0 2 0 0 36 48 59 4.44089209850063e-16
+23 0 2 0 0 36 48 60 4.44089209850063e-16
+23 0 2 0 0 36 48 61 4.44089209850063e-16
+23 0 2 0 0 36 48 62 4.44089209850063e-16
+23 0 2 0 0 36 48 63 4.44089209850063e-16
+23 0 2 0 0 36 48 64 4.44089209850063e-16
+23 0 2 0 0 36 48 65 4.44089209850063e-16
+23 0 2 0 0 36 48 66 4.44089209850063e-16
+23 0 2 0 0 36 48 67 4.44089209850063e-16
+23 0 2 0 0 36 48 68 4.44089209850063e-16
+23 0 2 0 0 36 48 69 4.44089209850063e-16
+23 0 2 0 0 36 48 70 4.44089209850063e-16
+23 0 2 0 0 36 48 71 4.44089209850063e-16
+23 0 2 0 0 36 48 72 4.44089209850063e-16
+23 0 2 0 0 36 48 73 4.44089209850063e-16
+23 0 2 0 0 36 48 74 4.44089209850063e-16
+23 0 2 0 0 36 48 75 4.44089209850063e-16
+23 0 2 0 0 36 48 76 4.44089209850063e-16
+23 0 2 0 0 36 48 77 4.44089209850063e-16
+23 0 2 0 0 36 48 78 4.44089209850063e-16
+23 0 2 0 0 36 48 79 4.44089209850063e-16
+23 0 2 0 0 36 48 80 4.44089209850063e-16
+23 0 2 0 0 36 48 81 4.44089209850063e-16
+23 0 2 0 0 36 48 82 4.44089209850063e-16
+23 0 2 0 0 36 48 83 4.44089209850063e-16
+23 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 4.44089209850063e-16
+24 0 2 0 0 36 48 52 4.44089209850063e-16
+24 0 2 0 0 36 48 53 4.44089209850063e-16
+24 0 2 0 0 36 48 54 4.44089209850063e-16
+24 0 2 0 0 36 48 55 4.44089209850063e-16
+24 0 2 0 0 36 48 56 4.44089209850063e-16
+24 0 2 0 0 36 48 57 4.44089209850063e-16
+24 0 2 0 0 36 48 58 4.44089209850063e-16
+24 0 2 0 0 36 48 59 4.44089209850063e-16
+24 0 2 0 0 36 48 60 4.44089209850063e-16
+24 0 2 0 0 36 48 61 4.44089209850063e-16
+24 0 2 0 0 36 48 62 4.44089209850063e-16
+24 0 2 0 0 36 48 63 4.44089209850063e-16
+24 0 2 0 0 36 48 64 4.44089209850063e-16
+24 0 2 0 0 36 48 65 4.44089209850063e-16
+24 0 2 0 0 36 48 66 4.44089209850063e-16
+24 0 2 0 0 36 48 67 4.44089209850063e-16
+24 0 2 0 0 36 48 68 4.44089209850063e-16
+24 0 2 0 0 36 48 69 4.44089209850063e-16
+24 0 2 0 0 36 48 70 4.44089209850063e-16
+24 0 2 0 0 36 48 71 4.44089209850063e-16
+24 0 2 0 0 36 48 72 4.44089209850063e-16
+24 0 2 0 0 36 48 73 4.44089209850063e-16
+24 0 2 0 0 36 48 74 4.44089209850063e-16
+24 0 2 0 0 36 48 75 4.44089209850063e-16
+24 0 2 0 0 36 48 76 4.44089209850063e-16
+24 0 2 0 0 36 48 77 4.44089209850063e-16
+24 0 2 0 0 36 48 78 4.44089209850063e-16
+24 0 2 0 0 36 48 79 4.44089209850063e-16
+24 0 2 0 0 36 48 80 4.44089209850063e-16
+24 0 2 0 0 36 48 81 4.44089209850063e-16
+24 0 2 0 0 36 48 82 4.44089209850063e-16
+24 0 2 0 0 36 48 83 4.44089209850063e-16
+24 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 4.44089209850063e-16
+24 0 1 0 0 36 48 36 4.44089209850063e-16
+24 0 1 0 0 36 48 38 4.44089209850063e-16
+24 0 1 0 0 36 48 40 4.44089209850063e-16
+24 0 1 0 0 36 48 42 4.44089209850063e-16
+24 0 1 0 0 36 48 44 4.44089209850063e-16
+24 0 1 0 0 36 48 46 4.44089209850063e-16
+24 0 1 0 0 36 48 48 4.44089209850063e-16
+24 0 1 0 0 36 48 50 4.44089209850063e-16
+24 0 1 0 0 36 48 52 4.44089209850063e-16
+24 0 1 0 0 36 48 54 4.44089209850063e-16
+24 0 1 0 0 36 48 56 4.44089209850063e-16
+24 0 1 0 0 36 48 58 4.44089209850063e-16
+24 0 1 0 0 36 48 60 4.44089209850063e-16
+24 0 1 0 0 36 48 62 4.44089209850063e-16
+24 0 1 0 0 36 48 64 4.44089209850063e-16
+24 0 1 0 0 36 48 66 4.44089209850063e-16
+24 0 1 0 0 36 48 68 4.44089209850063e-16
+24 0 1 0 0 36 48 70 4.44089209850063e-16
+24 0 1 0 0 36 48 72 4.44089209850063e-16
+24 0 1 0 0 36 48 74 4.44089209850063e-16
+24 0 1 0 0 36 48 76 4.44089209850063e-16
+24 0 1 0 0 36 48 78 4.44089209850063e-16
+24 0 1 0 0 36 48 80 4.44089209850063e-16
+24 0 1 0 0 36 48 82 4.44089209850063e-16
+24 0 1 0 0 36 48 84 4.44089209850063e-16
+24 0 1 0 0 36 48 86 4.44089209850063e-16
+24 0 1 0 0 36 48 88 4.44089209850063e-16
+24 0 1 0 0 36 48 90 4.44089209850063e-16
+24 0 1 0 0 36 48 92 4.44089209850063e-16
+24 0 1 0 0 36 48 94 4.44089209850063e-16
+24 0 1 0 0 36 48 96 4.44089209850063e-16
+24 0 1 0 0 36 48 98 4.44089209850063e-16
+24 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 4.44089209850063e-16
+24 0 0 0 0 36 48 4 4.44089209850063e-16
+24 0 0 0 0 36 48 8 4.44089209850063e-16
+24 0 0 0 0 36 48 12 4.44089209850063e-16
+24 0 0 0 0 36 48 16 4.44089209850063e-16
+24 0 0 0 0 36 48 20 4.44089209850063e-16
+24 0 0 0 0 36 48 24 4.44089209850063e-16
+24 0 0 0 0 36 48 28 4.44089209850063e-16
+24 0 0 0 0 36 48 32 4.44089209850063e-16
+24 0 0 0 0 36 48 36 4.44089209850063e-16
+24 0 0 0 0 36 48 40 4.44089209850063e-16
+24 0 0 0 0 36 48 44 4.44089209850063e-16
+24 0 0 0 0 36 48 48 4.44089209850063e-16
+24 0 0 0 0 36 48 52 4.44089209850063e-16
+24 0 0 0 0 36 48 56 4.44089209850063e-16
+24 0 0 0 0 36 48 60 4.44089209850063e-16
+24 0 0 0 0 36 48 64 4.44089209850063e-16
+24 0 0 0 0 36 48 68 4.44089209850063e-16
+24 0 0 0 0 36 48 72 4.44089209850063e-16
+24 0 0 0 0 36 48 76 4.44089209850063e-16
+24 0 0 0 0 36 48 80 4.44089209850063e-16
+24 0 0 0 0 36 48 84 4.44089209850063e-16
+24 0 0 0 0 36 48 88 4.44089209850063e-16
+24 0 0 0 0 36 48 92 4.44089209850063e-16
+24 0 0 0 0 36 48 96 4.44089209850063e-16
+24 0 0 0 0 36 48 100 4.44089209850063e-16
+24 0 0 0 0 36 48 104 4.44089209850063e-16
+24 0 0 0 0 36 48 108 4.44089209850063e-16
+24 0 0 0 0 36 48 112 4.44089209850063e-16
+24 0 0 0 0 36 48 116 4.44089209850063e-16
+24 0 0 0 0 36 48 120 4.44089209850063e-16
+24 0 0 0 0 36 48 124 4.44089209850063e-16
+24 0 0 0 0 36 48 128 4.44089209850063e-16
+24 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.xl
new file mode 100644
index 000000000..4954a39ff
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.xl
@@ -0,0 +1,1082 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 -4.44089209850063e-16
+0 0 2 0 0 28 48 64 -4.44089209850063e-16
+0 0 2 0 0 29 48 64 -4.44089209850063e-16
+0 0 2 0 0 30 48 64 -4.44089209850063e-16
+0 0 2 0 0 31 48 64 -4.44089209850063e-16
+0 0 2 0 0 32 48 64 -4.44089209850063e-16
+0 0 2 0 0 33 48 64 -4.44089209850063e-16
+0 0 2 0 0 34 48 64 -4.44089209850063e-16
+0 0 2 0 0 35 48 64 -4.44089209850063e-16
+0 0 2 0 0 36 48 64 -4.44089209850063e-16
+0 0 2 0 0 37 48 64 -4.44089209850063e-16
+0 0 2 0 0 38 48 64 -4.44089209850063e-16
+0 0 2 0 0 39 48 64 -4.44089209850063e-16
+0 0 2 0 0 40 48 64 -4.44089209850063e-16
+0 0 2 0 0 41 48 64 -4.44089209850063e-16
+0 0 2 0 0 42 48 64 -4.44089209850063e-16
+0 0 2 0 0 43 48 64 -4.44089209850063e-16
+0 0 2 0 0 44 48 64 -4.44089209850063e-16
+0 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -4.44089209850063e-16
+0 0 1 0 0 20 48 64 -4.44089209850063e-16
+0 0 1 0 0 22 48 64 -4.44089209850063e-16
+0 0 1 0 0 24 48 64 -4.44089209850063e-16
+0 0 1 0 0 26 48 64 -4.44089209850063e-16
+0 0 1 0 0 28 48 64 -4.44089209850063e-16
+0 0 1 0 0 30 48 64 -4.44089209850063e-16
+0 0 1 0 0 32 48 64 -4.44089209850063e-16
+0 0 1 0 0 34 48 64 -4.44089209850063e-16
+0 0 1 0 0 36 48 64 -4.44089209850063e-16
+0 0 1 0 0 38 48 64 -4.44089209850063e-16
+0 0 1 0 0 40 48 64 -4.44089209850063e-16
+0 0 1 0 0 42 48 64 -4.44089209850063e-16
+0 0 1 0 0 44 48 64 -4.44089209850063e-16
+0 0 1 0 0 46 48 64 -4.44089209850063e-16
+0 0 1 0 0 48 48 64 -4.44089209850063e-16
+0 0 1 0 0 50 48 64 -4.44089209850063e-16
+0 0 1 0 0 52 48 64 -4.44089209850063e-16
+0 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -4.44089209850063e-16
+0 0 0 0 0 4 48 64 -4.44089209850063e-16
+0 0 0 0 0 8 48 64 -4.44089209850063e-16
+0 0 0 0 0 12 48 64 -4.44089209850063e-16
+0 0 0 0 0 16 48 64 -4.44089209850063e-16
+0 0 0 0 0 20 48 64 -4.44089209850063e-16
+0 0 0 0 0 24 48 64 -4.44089209850063e-16
+0 0 0 0 0 28 48 64 -4.44089209850063e-16
+0 0 0 0 0 32 48 64 -4.44089209850063e-16
+0 0 0 0 0 36 48 64 -4.44089209850063e-16
+0 0 0 0 0 40 48 64 -4.44089209850063e-16
+0 0 0 0 0 44 48 64 -4.44089209850063e-16
+0 0 0 0 0 48 48 64 -4.44089209850063e-16
+0 0 0 0 0 52 48 64 -4.44089209850063e-16
+0 0 0 0 0 56 48 64 -4.44089209850063e-16
+0 0 0 0 0 60 48 64 -4.44089209850063e-16
+0 0 0 0 0 64 48 64 -4.44089209850063e-16
+0 0 0 0 0 68 48 64 -4.44089209850063e-16
+0 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 -4.44089209850063e-16
+1 0 2 0 0 28 48 64 -4.44089209850063e-16
+1 0 2 0 0 29 48 64 -4.44089209850063e-16
+1 0 2 0 0 30 48 64 -4.44089209850063e-16
+1 0 2 0 0 31 48 64 -4.44089209850063e-16
+1 0 2 0 0 32 48 64 -4.44089209850063e-16
+1 0 2 0 0 33 48 64 -4.44089209850063e-16
+1 0 2 0 0 34 48 64 -4.44089209850063e-16
+1 0 2 0 0 35 48 64 -4.44089209850063e-16
+1 0 2 0 0 36 48 64 -4.44089209850063e-16
+1 0 2 0 0 37 48 64 -4.44089209850063e-16
+1 0 2 0 0 38 48 64 -4.44089209850063e-16
+1 0 2 0 0 39 48 64 -4.44089209850063e-16
+1 0 2 0 0 40 48 64 -4.44089209850063e-16
+1 0 2 0 0 41 48 64 -4.44089209850063e-16
+1 0 2 0 0 42 48 64 -4.44089209850063e-16
+1 0 2 0 0 43 48 64 -4.44089209850063e-16
+1 0 2 0 0 44 48 64 -4.44089209850063e-16
+1 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 -4.44089209850063e-16
+2 0 2 0 0 28 48 64 -4.44089209850063e-16
+2 0 2 0 0 29 48 64 -4.44089209850063e-16
+2 0 2 0 0 30 48 64 -4.44089209850063e-16
+2 0 2 0 0 31 48 64 -4.44089209850063e-16
+2 0 2 0 0 32 48 64 -4.44089209850063e-16
+2 0 2 0 0 33 48 64 -4.44089209850063e-16
+2 0 2 0 0 34 48 64 -4.44089209850063e-16
+2 0 2 0 0 35 48 64 -4.44089209850063e-16
+2 0 2 0 0 36 48 64 -4.44089209850063e-16
+2 0 2 0 0 37 48 64 -4.44089209850063e-16
+2 0 2 0 0 38 48 64 -4.44089209850063e-16
+2 0 2 0 0 39 48 64 -4.44089209850063e-16
+2 0 2 0 0 40 48 64 -4.44089209850063e-16
+2 0 2 0 0 41 48 64 -4.44089209850063e-16
+2 0 2 0 0 42 48 64 -4.44089209850063e-16
+2 0 2 0 0 43 48 64 -4.44089209850063e-16
+2 0 2 0 0 44 48 64 -4.44089209850063e-16
+2 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -4.44089209850063e-16
+2 0 1 0 0 20 48 64 -4.44089209850063e-16
+2 0 1 0 0 22 48 64 -4.44089209850063e-16
+2 0 1 0 0 24 48 64 -4.44089209850063e-16
+2 0 1 0 0 26 48 64 -4.44089209850063e-16
+2 0 1 0 0 28 48 64 -4.44089209850063e-16
+2 0 1 0 0 30 48 64 -4.44089209850063e-16
+2 0 1 0 0 32 48 64 -4.44089209850063e-16
+2 0 1 0 0 34 48 64 -4.44089209850063e-16
+2 0 1 0 0 36 48 64 -4.44089209850063e-16
+2 0 1 0 0 38 48 64 -4.44089209850063e-16
+2 0 1 0 0 40 48 64 -4.44089209850063e-16
+2 0 1 0 0 42 48 64 -4.44089209850063e-16
+2 0 1 0 0 44 48 64 -4.44089209850063e-16
+2 0 1 0 0 46 48 64 -4.44089209850063e-16
+2 0 1 0 0 48 48 64 -4.44089209850063e-16
+2 0 1 0 0 50 48 64 -4.44089209850063e-16
+2 0 1 0 0 52 48 64 -4.44089209850063e-16
+2 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 -4.44089209850063e-16
+3 0 2 0 0 28 48 64 -4.44089209850063e-16
+3 0 2 0 0 29 48 64 -4.44089209850063e-16
+3 0 2 0 0 30 48 64 -4.44089209850063e-16
+3 0 2 0 0 31 48 64 -4.44089209850063e-16
+3 0 2 0 0 32 48 64 -4.44089209850063e-16
+3 0 2 0 0 33 48 64 -4.44089209850063e-16
+3 0 2 0 0 34 48 64 -4.44089209850063e-16
+3 0 2 0 0 35 48 64 -4.44089209850063e-16
+3 0 2 0 0 36 48 64 -4.44089209850063e-16
+3 0 2 0 0 37 48 64 -4.44089209850063e-16
+3 0 2 0 0 38 48 64 -4.44089209850063e-16
+3 0 2 0 0 39 48 64 -4.44089209850063e-16
+3 0 2 0 0 40 48 64 -4.44089209850063e-16
+3 0 2 0 0 41 48 64 -4.44089209850063e-16
+3 0 2 0 0 42 48 64 -4.44089209850063e-16
+3 0 2 0 0 43 48 64 -4.44089209850063e-16
+3 0 2 0 0 44 48 64 -4.44089209850063e-16
+3 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 -4.44089209850063e-16
+4 0 2 0 0 28 48 64 -4.44089209850063e-16
+4 0 2 0 0 29 48 64 -4.44089209850063e-16
+4 0 2 0 0 30 48 64 -4.44089209850063e-16
+4 0 2 0 0 31 48 64 -4.44089209850063e-16
+4 0 2 0 0 32 48 64 -4.44089209850063e-16
+4 0 2 0 0 33 48 64 -4.44089209850063e-16
+4 0 2 0 0 34 48 64 -4.44089209850063e-16
+4 0 2 0 0 35 48 64 -4.44089209850063e-16
+4 0 2 0 0 36 48 64 -4.44089209850063e-16
+4 0 2 0 0 37 48 64 -4.44089209850063e-16
+4 0 2 0 0 38 48 64 -4.44089209850063e-16
+4 0 2 0 0 39 48 64 -4.44089209850063e-16
+4 0 2 0 0 40 48 64 -4.44089209850063e-16
+4 0 2 0 0 41 48 64 -4.44089209850063e-16
+4 0 2 0 0 42 48 64 -4.44089209850063e-16
+4 0 2 0 0 43 48 64 -4.44089209850063e-16
+4 0 2 0 0 44 48 64 -4.44089209850063e-16
+4 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 -4.44089209850063e-16
+4 0 1 0 0 20 48 64 -4.44089209850063e-16
+4 0 1 0 0 22 48 64 -4.44089209850063e-16
+4 0 1 0 0 24 48 64 -4.44089209850063e-16
+4 0 1 0 0 26 48 64 -4.44089209850063e-16
+4 0 1 0 0 28 48 64 -4.44089209850063e-16
+4 0 1 0 0 30 48 64 -4.44089209850063e-16
+4 0 1 0 0 32 48 64 -4.44089209850063e-16
+4 0 1 0 0 34 48 64 -4.44089209850063e-16
+4 0 1 0 0 36 48 64 -4.44089209850063e-16
+4 0 1 0 0 38 48 64 -4.44089209850063e-16
+4 0 1 0 0 40 48 64 -4.44089209850063e-16
+4 0 1 0 0 42 48 64 -4.44089209850063e-16
+4 0 1 0 0 44 48 64 -4.44089209850063e-16
+4 0 1 0 0 46 48 64 -4.44089209850063e-16
+4 0 1 0 0 48 48 64 -4.44089209850063e-16
+4 0 1 0 0 50 48 64 -4.44089209850063e-16
+4 0 1 0 0 52 48 64 -4.44089209850063e-16
+4 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -4.44089209850063e-16
+4 0 0 0 0 4 48 64 -4.44089209850063e-16
+4 0 0 0 0 8 48 64 -4.44089209850063e-16
+4 0 0 0 0 12 48 64 -4.44089209850063e-16
+4 0 0 0 0 16 48 64 -4.44089209850063e-16
+4 0 0 0 0 20 48 64 -4.44089209850063e-16
+4 0 0 0 0 24 48 64 -4.44089209850063e-16
+4 0 0 0 0 28 48 64 -4.44089209850063e-16
+4 0 0 0 0 32 48 64 -4.44089209850063e-16
+4 0 0 0 0 36 48 64 -4.44089209850063e-16
+4 0 0 0 0 40 48 64 -4.44089209850063e-16
+4 0 0 0 0 44 48 64 -4.44089209850063e-16
+4 0 0 0 0 48 48 64 -4.44089209850063e-16
+4 0 0 0 0 52 48 64 -4.44089209850063e-16
+4 0 0 0 0 56 48 64 -4.44089209850063e-16
+4 0 0 0 0 60 48 64 -4.44089209850063e-16
+4 0 0 0 0 64 48 64 -4.44089209850063e-16
+4 0 0 0 0 68 48 64 -4.44089209850063e-16
+4 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 -4.44089209850063e-16
+5 0 2 0 0 28 48 64 -4.44089209850063e-16
+5 0 2 0 0 29 48 64 -4.44089209850063e-16
+5 0 2 0 0 30 48 64 -4.44089209850063e-16
+5 0 2 0 0 31 48 64 -4.44089209850063e-16
+5 0 2 0 0 32 48 64 -4.44089209850063e-16
+5 0 2 0 0 33 48 64 -4.44089209850063e-16
+5 0 2 0 0 34 48 64 -4.44089209850063e-16
+5 0 2 0 0 35 48 64 -4.44089209850063e-16
+5 0 2 0 0 36 48 64 -4.44089209850063e-16
+5 0 2 0 0 37 48 64 -4.44089209850063e-16
+5 0 2 0 0 38 48 64 -4.44089209850063e-16
+5 0 2 0 0 39 48 64 -4.44089209850063e-16
+5 0 2 0 0 40 48 64 -4.44089209850063e-16
+5 0 2 0 0 41 48 64 -4.44089209850063e-16
+5 0 2 0 0 42 48 64 -4.44089209850063e-16
+5 0 2 0 0 43 48 64 -4.44089209850063e-16
+5 0 2 0 0 44 48 64 -4.44089209850063e-16
+5 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 -4.44089209850063e-16
+6 0 2 0 0 28 48 64 -4.44089209850063e-16
+6 0 2 0 0 29 48 64 -4.44089209850063e-16
+6 0 2 0 0 30 48 64 -4.44089209850063e-16
+6 0 2 0 0 31 48 64 -4.44089209850063e-16
+6 0 2 0 0 32 48 64 -4.44089209850063e-16
+6 0 2 0 0 33 48 64 -4.44089209850063e-16
+6 0 2 0 0 34 48 64 -4.44089209850063e-16
+6 0 2 0 0 35 48 64 -4.44089209850063e-16
+6 0 2 0 0 36 48 64 -4.44089209850063e-16
+6 0 2 0 0 37 48 64 -4.44089209850063e-16
+6 0 2 0 0 38 48 64 -4.44089209850063e-16
+6 0 2 0 0 39 48 64 -4.44089209850063e-16
+6 0 2 0 0 40 48 64 -4.44089209850063e-16
+6 0 2 0 0 41 48 64 -4.44089209850063e-16
+6 0 2 0 0 42 48 64 -4.44089209850063e-16
+6 0 2 0 0 43 48 64 -4.44089209850063e-16
+6 0 2 0 0 44 48 64 -4.44089209850063e-16
+6 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 -4.44089209850063e-16
+6 0 1 0 0 20 48 64 -4.44089209850063e-16
+6 0 1 0 0 22 48 64 -4.44089209850063e-16
+6 0 1 0 0 24 48 64 -4.44089209850063e-16
+6 0 1 0 0 26 48 64 -4.44089209850063e-16
+6 0 1 0 0 28 48 64 -4.44089209850063e-16
+6 0 1 0 0 30 48 64 -4.44089209850063e-16
+6 0 1 0 0 32 48 64 -4.44089209850063e-16
+6 0 1 0 0 34 48 64 -4.44089209850063e-16
+6 0 1 0 0 36 48 64 -4.44089209850063e-16
+6 0 1 0 0 38 48 64 -4.44089209850063e-16
+6 0 1 0 0 40 48 64 -4.44089209850063e-16
+6 0 1 0 0 42 48 64 -4.44089209850063e-16
+6 0 1 0 0 44 48 64 -4.44089209850063e-16
+6 0 1 0 0 46 48 64 -4.44089209850063e-16
+6 0 1 0 0 48 48 64 -4.44089209850063e-16
+6 0 1 0 0 50 48 64 -4.44089209850063e-16
+6 0 1 0 0 52 48 64 -4.44089209850063e-16
+6 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 -4.44089209850063e-16
+7 0 2 0 0 28 48 64 -4.44089209850063e-16
+7 0 2 0 0 29 48 64 -4.44089209850063e-16
+7 0 2 0 0 30 48 64 -4.44089209850063e-16
+7 0 2 0 0 31 48 64 -4.44089209850063e-16
+7 0 2 0 0 32 48 64 -4.44089209850063e-16
+7 0 2 0 0 33 48 64 -4.44089209850063e-16
+7 0 2 0 0 34 48 64 -4.44089209850063e-16
+7 0 2 0 0 35 48 64 -4.44089209850063e-16
+7 0 2 0 0 36 48 64 -4.44089209850063e-16
+7 0 2 0 0 37 48 64 -4.44089209850063e-16
+7 0 2 0 0 38 48 64 -4.44089209850063e-16
+7 0 2 0 0 39 48 64 -4.44089209850063e-16
+7 0 2 0 0 40 48 64 -4.44089209850063e-16
+7 0 2 0 0 41 48 64 -4.44089209850063e-16
+7 0 2 0 0 42 48 64 -4.44089209850063e-16
+7 0 2 0 0 43 48 64 -4.44089209850063e-16
+7 0 2 0 0 44 48 64 -4.44089209850063e-16
+7 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 -4.44089209850063e-16
+8 0 2 0 0 28 48 64 -4.44089209850063e-16
+8 0 2 0 0 29 48 64 -4.44089209850063e-16
+8 0 2 0 0 30 48 64 -4.44089209850063e-16
+8 0 2 0 0 31 48 64 -4.44089209850063e-16
+8 0 2 0 0 32 48 64 -4.44089209850063e-16
+8 0 2 0 0 33 48 64 -4.44089209850063e-16
+8 0 2 0 0 34 48 64 -4.44089209850063e-16
+8 0 2 0 0 35 48 64 -4.44089209850063e-16
+8 0 2 0 0 36 48 64 -4.44089209850063e-16
+8 0 2 0 0 37 48 64 -4.44089209850063e-16
+8 0 2 0 0 38 48 64 -4.44089209850063e-16
+8 0 2 0 0 39 48 64 -4.44089209850063e-16
+8 0 2 0 0 40 48 64 -4.44089209850063e-16
+8 0 2 0 0 41 48 64 -4.44089209850063e-16
+8 0 2 0 0 42 48 64 -4.44089209850063e-16
+8 0 2 0 0 43 48 64 -4.44089209850063e-16
+8 0 2 0 0 44 48 64 -4.44089209850063e-16
+8 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 -4.44089209850063e-16
+8 0 1 0 0 20 48 64 -4.44089209850063e-16
+8 0 1 0 0 22 48 64 -4.44089209850063e-16
+8 0 1 0 0 24 48 64 -4.44089209850063e-16
+8 0 1 0 0 26 48 64 -4.44089209850063e-16
+8 0 1 0 0 28 48 64 -4.44089209850063e-16
+8 0 1 0 0 30 48 64 -4.44089209850063e-16
+8 0 1 0 0 32 48 64 -4.44089209850063e-16
+8 0 1 0 0 34 48 64 -4.44089209850063e-16
+8 0 1 0 0 36 48 64 -4.44089209850063e-16
+8 0 1 0 0 38 48 64 -4.44089209850063e-16
+8 0 1 0 0 40 48 64 -4.44089209850063e-16
+8 0 1 0 0 42 48 64 -4.44089209850063e-16
+8 0 1 0 0 44 48 64 -4.44089209850063e-16
+8 0 1 0 0 46 48 64 -4.44089209850063e-16
+8 0 1 0 0 48 48 64 -4.44089209850063e-16
+8 0 1 0 0 50 48 64 -4.44089209850063e-16
+8 0 1 0 0 52 48 64 -4.44089209850063e-16
+8 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -4.44089209850063e-16
+8 0 0 0 0 4 48 64 -4.44089209850063e-16
+8 0 0 0 0 8 48 64 -4.44089209850063e-16
+8 0 0 0 0 12 48 64 -4.44089209850063e-16
+8 0 0 0 0 16 48 64 -4.44089209850063e-16
+8 0 0 0 0 20 48 64 -4.44089209850063e-16
+8 0 0 0 0 24 48 64 -4.44089209850063e-16
+8 0 0 0 0 28 48 64 -4.44089209850063e-16
+8 0 0 0 0 32 48 64 -4.44089209850063e-16
+8 0 0 0 0 36 48 64 -4.44089209850063e-16
+8 0 0 0 0 40 48 64 -4.44089209850063e-16
+8 0 0 0 0 44 48 64 -4.44089209850063e-16
+8 0 0 0 0 48 48 64 -4.44089209850063e-16
+8 0 0 0 0 52 48 64 -4.44089209850063e-16
+8 0 0 0 0 56 48 64 -4.44089209850063e-16
+8 0 0 0 0 60 48 64 -4.44089209850063e-16
+8 0 0 0 0 64 48 64 -4.44089209850063e-16
+8 0 0 0 0 68 48 64 -4.44089209850063e-16
+8 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 -4.44089209850063e-16
+9 0 2 0 0 28 48 64 -4.44089209850063e-16
+9 0 2 0 0 29 48 64 -4.44089209850063e-16
+9 0 2 0 0 30 48 64 -4.44089209850063e-16
+9 0 2 0 0 31 48 64 -4.44089209850063e-16
+9 0 2 0 0 32 48 64 -4.44089209850063e-16
+9 0 2 0 0 33 48 64 -4.44089209850063e-16
+9 0 2 0 0 34 48 64 -4.44089209850063e-16
+9 0 2 0 0 35 48 64 -4.44089209850063e-16
+9 0 2 0 0 36 48 64 -4.44089209850063e-16
+9 0 2 0 0 37 48 64 -4.44089209850063e-16
+9 0 2 0 0 38 48 64 -4.44089209850063e-16
+9 0 2 0 0 39 48 64 -4.44089209850063e-16
+9 0 2 0 0 40 48 64 -4.44089209850063e-16
+9 0 2 0 0 41 48 64 -4.44089209850063e-16
+9 0 2 0 0 42 48 64 -4.44089209850063e-16
+9 0 2 0 0 43 48 64 -4.44089209850063e-16
+9 0 2 0 0 44 48 64 -4.44089209850063e-16
+9 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 -4.44089209850063e-16
+10 0 2 0 0 28 48 64 -4.44089209850063e-16
+10 0 2 0 0 29 48 64 -4.44089209850063e-16
+10 0 2 0 0 30 48 64 -4.44089209850063e-16
+10 0 2 0 0 31 48 64 -4.44089209850063e-16
+10 0 2 0 0 32 48 64 -4.44089209850063e-16
+10 0 2 0 0 33 48 64 -4.44089209850063e-16
+10 0 2 0 0 34 48 64 -4.44089209850063e-16
+10 0 2 0 0 35 48 64 -4.44089209850063e-16
+10 0 2 0 0 36 48 64 -4.44089209850063e-16
+10 0 2 0 0 37 48 64 -4.44089209850063e-16
+10 0 2 0 0 38 48 64 -4.44089209850063e-16
+10 0 2 0 0 39 48 64 -4.44089209850063e-16
+10 0 2 0 0 40 48 64 -4.44089209850063e-16
+10 0 2 0 0 41 48 64 -4.44089209850063e-16
+10 0 2 0 0 42 48 64 -4.44089209850063e-16
+10 0 2 0 0 43 48 64 -4.44089209850063e-16
+10 0 2 0 0 44 48 64 -4.44089209850063e-16
+10 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 -4.44089209850063e-16
+10 0 1 0 0 20 48 64 -4.44089209850063e-16
+10 0 1 0 0 22 48 64 -4.44089209850063e-16
+10 0 1 0 0 24 48 64 -4.44089209850063e-16
+10 0 1 0 0 26 48 64 -4.44089209850063e-16
+10 0 1 0 0 28 48 64 -4.44089209850063e-16
+10 0 1 0 0 30 48 64 -4.44089209850063e-16
+10 0 1 0 0 32 48 64 -4.44089209850063e-16
+10 0 1 0 0 34 48 64 -4.44089209850063e-16
+10 0 1 0 0 36 48 64 -4.44089209850063e-16
+10 0 1 0 0 38 48 64 -4.44089209850063e-16
+10 0 1 0 0 40 48 64 -4.44089209850063e-16
+10 0 1 0 0 42 48 64 -4.44089209850063e-16
+10 0 1 0 0 44 48 64 -4.44089209850063e-16
+10 0 1 0 0 46 48 64 -4.44089209850063e-16
+10 0 1 0 0 48 48 64 -4.44089209850063e-16
+10 0 1 0 0 50 48 64 -4.44089209850063e-16
+10 0 1 0 0 52 48 64 -4.44089209850063e-16
+10 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 -4.44089209850063e-16
+11 0 2 0 0 28 48 64 -4.44089209850063e-16
+11 0 2 0 0 29 48 64 -4.44089209850063e-16
+11 0 2 0 0 30 48 64 -4.44089209850063e-16
+11 0 2 0 0 31 48 64 -4.44089209850063e-16
+11 0 2 0 0 32 48 64 -4.44089209850063e-16
+11 0 2 0 0 33 48 64 -4.44089209850063e-16
+11 0 2 0 0 34 48 64 -4.44089209850063e-16
+11 0 2 0 0 35 48 64 -4.44089209850063e-16
+11 0 2 0 0 36 48 64 -4.44089209850063e-16
+11 0 2 0 0 37 48 64 -4.44089209850063e-16
+11 0 2 0 0 38 48 64 -4.44089209850063e-16
+11 0 2 0 0 39 48 64 -4.44089209850063e-16
+11 0 2 0 0 40 48 64 -4.44089209850063e-16
+11 0 2 0 0 41 48 64 -4.44089209850063e-16
+11 0 2 0 0 42 48 64 -4.44089209850063e-16
+11 0 2 0 0 43 48 64 -4.44089209850063e-16
+11 0 2 0 0 44 48 64 -4.44089209850063e-16
+11 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 -4.44089209850063e-16
+12 0 2 0 0 28 48 64 -4.44089209850063e-16
+12 0 2 0 0 29 48 64 -4.44089209850063e-16
+12 0 2 0 0 30 48 64 -4.44089209850063e-16
+12 0 2 0 0 31 48 64 -4.44089209850063e-16
+12 0 2 0 0 32 48 64 -4.44089209850063e-16
+12 0 2 0 0 33 48 64 -4.44089209850063e-16
+12 0 2 0 0 34 48 64 -4.44089209850063e-16
+12 0 2 0 0 35 48 64 -4.44089209850063e-16
+12 0 2 0 0 36 48 64 -4.44089209850063e-16
+12 0 2 0 0 37 48 64 -4.44089209850063e-16
+12 0 2 0 0 38 48 64 -4.44089209850063e-16
+12 0 2 0 0 39 48 64 -4.44089209850063e-16
+12 0 2 0 0 40 48 64 -4.44089209850063e-16
+12 0 2 0 0 41 48 64 -4.44089209850063e-16
+12 0 2 0 0 42 48 64 -4.44089209850063e-16
+12 0 2 0 0 43 48 64 -4.44089209850063e-16
+12 0 2 0 0 44 48 64 -4.44089209850063e-16
+12 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 -4.44089209850063e-16
+12 0 1 0 0 20 48 64 -4.44089209850063e-16
+12 0 1 0 0 22 48 64 -4.44089209850063e-16
+12 0 1 0 0 24 48 64 -4.44089209850063e-16
+12 0 1 0 0 26 48 64 -4.44089209850063e-16
+12 0 1 0 0 28 48 64 -4.44089209850063e-16
+12 0 1 0 0 30 48 64 -4.44089209850063e-16
+12 0 1 0 0 32 48 64 -4.44089209850063e-16
+12 0 1 0 0 34 48 64 -4.44089209850063e-16
+12 0 1 0 0 36 48 64 -4.44089209850063e-16
+12 0 1 0 0 38 48 64 -4.44089209850063e-16
+12 0 1 0 0 40 48 64 -4.44089209850063e-16
+12 0 1 0 0 42 48 64 -4.44089209850063e-16
+12 0 1 0 0 44 48 64 -4.44089209850063e-16
+12 0 1 0 0 46 48 64 -4.44089209850063e-16
+12 0 1 0 0 48 48 64 -4.44089209850063e-16
+12 0 1 0 0 50 48 64 -4.44089209850063e-16
+12 0 1 0 0 52 48 64 -4.44089209850063e-16
+12 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -4.44089209850063e-16
+12 0 0 0 0 4 48 64 -4.44089209850063e-16
+12 0 0 0 0 8 48 64 -4.44089209850063e-16
+12 0 0 0 0 12 48 64 -4.44089209850063e-16
+12 0 0 0 0 16 48 64 -4.44089209850063e-16
+12 0 0 0 0 20 48 64 -4.44089209850063e-16
+12 0 0 0 0 24 48 64 -4.44089209850063e-16
+12 0 0 0 0 28 48 64 -4.44089209850063e-16
+12 0 0 0 0 32 48 64 -4.44089209850063e-16
+12 0 0 0 0 36 48 64 -4.44089209850063e-16
+12 0 0 0 0 40 48 64 -4.44089209850063e-16
+12 0 0 0 0 44 48 64 -4.44089209850063e-16
+12 0 0 0 0 48 48 64 -4.44089209850063e-16
+12 0 0 0 0 52 48 64 -4.44089209850063e-16
+12 0 0 0 0 56 48 64 -4.44089209850063e-16
+12 0 0 0 0 60 48 64 -4.44089209850063e-16
+12 0 0 0 0 64 48 64 -4.44089209850063e-16
+12 0 0 0 0 68 48 64 -4.44089209850063e-16
+12 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 -4.44089209850063e-16
+13 0 2 0 0 28 48 64 -4.44089209850063e-16
+13 0 2 0 0 29 48 64 -4.44089209850063e-16
+13 0 2 0 0 30 48 64 -4.44089209850063e-16
+13 0 2 0 0 31 48 64 -4.44089209850063e-16
+13 0 2 0 0 32 48 64 -4.44089209850063e-16
+13 0 2 0 0 33 48 64 -4.44089209850063e-16
+13 0 2 0 0 34 48 64 -4.44089209850063e-16
+13 0 2 0 0 35 48 64 -4.44089209850063e-16
+13 0 2 0 0 36 48 64 -4.44089209850063e-16
+13 0 2 0 0 37 48 64 -4.44089209850063e-16
+13 0 2 0 0 38 48 64 -4.44089209850063e-16
+13 0 2 0 0 39 48 64 -4.44089209850063e-16
+13 0 2 0 0 40 48 64 -4.44089209850063e-16
+13 0 2 0 0 41 48 64 -4.44089209850063e-16
+13 0 2 0 0 42 48 64 -4.44089209850063e-16
+13 0 2 0 0 43 48 64 -4.44089209850063e-16
+13 0 2 0 0 44 48 64 -4.44089209850063e-16
+13 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 -4.44089209850063e-16
+14 0 2 0 0 28 48 64 -4.44089209850063e-16
+14 0 2 0 0 29 48 64 -4.44089209850063e-16
+14 0 2 0 0 30 48 64 -4.44089209850063e-16
+14 0 2 0 0 31 48 64 -4.44089209850063e-16
+14 0 2 0 0 32 48 64 -4.44089209850063e-16
+14 0 2 0 0 33 48 64 -4.44089209850063e-16
+14 0 2 0 0 34 48 64 -4.44089209850063e-16
+14 0 2 0 0 35 48 64 -4.44089209850063e-16
+14 0 2 0 0 36 48 64 -4.44089209850063e-16
+14 0 2 0 0 37 48 64 -4.44089209850063e-16
+14 0 2 0 0 38 48 64 -4.44089209850063e-16
+14 0 2 0 0 39 48 64 -4.44089209850063e-16
+14 0 2 0 0 40 48 64 -4.44089209850063e-16
+14 0 2 0 0 41 48 64 -4.44089209850063e-16
+14 0 2 0 0 42 48 64 -4.44089209850063e-16
+14 0 2 0 0 43 48 64 -4.44089209850063e-16
+14 0 2 0 0 44 48 64 -4.44089209850063e-16
+14 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 -4.44089209850063e-16
+14 0 1 0 0 20 48 64 -4.44089209850063e-16
+14 0 1 0 0 22 48 64 -4.44089209850063e-16
+14 0 1 0 0 24 48 64 -4.44089209850063e-16
+14 0 1 0 0 26 48 64 -4.44089209850063e-16
+14 0 1 0 0 28 48 64 -4.44089209850063e-16
+14 0 1 0 0 30 48 64 -4.44089209850063e-16
+14 0 1 0 0 32 48 64 -4.44089209850063e-16
+14 0 1 0 0 34 48 64 -4.44089209850063e-16
+14 0 1 0 0 36 48 64 -4.44089209850063e-16
+14 0 1 0 0 38 48 64 -4.44089209850063e-16
+14 0 1 0 0 40 48 64 -4.44089209850063e-16
+14 0 1 0 0 42 48 64 -4.44089209850063e-16
+14 0 1 0 0 44 48 64 -4.44089209850063e-16
+14 0 1 0 0 46 48 64 -4.44089209850063e-16
+14 0 1 0 0 48 48 64 -4.44089209850063e-16
+14 0 1 0 0 50 48 64 -4.44089209850063e-16
+14 0 1 0 0 52 48 64 -4.44089209850063e-16
+14 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 -4.44089209850063e-16
+15 0 2 0 0 28 48 64 -4.44089209850063e-16
+15 0 2 0 0 29 48 64 -4.44089209850063e-16
+15 0 2 0 0 30 48 64 -4.44089209850063e-16
+15 0 2 0 0 31 48 64 -4.44089209850063e-16
+15 0 2 0 0 32 48 64 -4.44089209850063e-16
+15 0 2 0 0 33 48 64 -4.44089209850063e-16
+15 0 2 0 0 34 48 64 -4.44089209850063e-16
+15 0 2 0 0 35 48 64 -4.44089209850063e-16
+15 0 2 0 0 36 48 64 -4.44089209850063e-16
+15 0 2 0 0 37 48 64 -4.44089209850063e-16
+15 0 2 0 0 38 48 64 -4.44089209850063e-16
+15 0 2 0 0 39 48 64 -4.44089209850063e-16
+15 0 2 0 0 40 48 64 -4.44089209850063e-16
+15 0 2 0 0 41 48 64 -4.44089209850063e-16
+15 0 2 0 0 42 48 64 -4.44089209850063e-16
+15 0 2 0 0 43 48 64 -4.44089209850063e-16
+15 0 2 0 0 44 48 64 -4.44089209850063e-16
+15 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 -4.44089209850063e-16
+16 0 2 0 0 28 48 64 -4.44089209850063e-16
+16 0 2 0 0 29 48 64 -4.44089209850063e-16
+16 0 2 0 0 30 48 64 -4.44089209850063e-16
+16 0 2 0 0 31 48 64 -4.44089209850063e-16
+16 0 2 0 0 32 48 64 -4.44089209850063e-16
+16 0 2 0 0 33 48 64 -4.44089209850063e-16
+16 0 2 0 0 34 48 64 -4.44089209850063e-16
+16 0 2 0 0 35 48 64 -4.44089209850063e-16
+16 0 2 0 0 36 48 64 -4.44089209850063e-16
+16 0 2 0 0 37 48 64 -4.44089209850063e-16
+16 0 2 0 0 38 48 64 -4.44089209850063e-16
+16 0 2 0 0 39 48 64 -4.44089209850063e-16
+16 0 2 0 0 40 48 64 -4.44089209850063e-16
+16 0 2 0 0 41 48 64 -4.44089209850063e-16
+16 0 2 0 0 42 48 64 -4.44089209850063e-16
+16 0 2 0 0 43 48 64 -4.44089209850063e-16
+16 0 2 0 0 44 48 64 -4.44089209850063e-16
+16 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 -4.44089209850063e-16
+16 0 1 0 0 20 48 64 -4.44089209850063e-16
+16 0 1 0 0 22 48 64 -4.44089209850063e-16
+16 0 1 0 0 24 48 64 -4.44089209850063e-16
+16 0 1 0 0 26 48 64 -4.44089209850063e-16
+16 0 1 0 0 28 48 64 -4.44089209850063e-16
+16 0 1 0 0 30 48 64 -4.44089209850063e-16
+16 0 1 0 0 32 48 64 -4.44089209850063e-16
+16 0 1 0 0 34 48 64 -4.44089209850063e-16
+16 0 1 0 0 36 48 64 -4.44089209850063e-16
+16 0 1 0 0 38 48 64 -4.44089209850063e-16
+16 0 1 0 0 40 48 64 -4.44089209850063e-16
+16 0 1 0 0 42 48 64 -4.44089209850063e-16
+16 0 1 0 0 44 48 64 -4.44089209850063e-16
+16 0 1 0 0 46 48 64 -4.44089209850063e-16
+16 0 1 0 0 48 48 64 -4.44089209850063e-16
+16 0 1 0 0 50 48 64 -4.44089209850063e-16
+16 0 1 0 0 52 48 64 -4.44089209850063e-16
+16 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -4.44089209850063e-16
+16 0 0 0 0 4 48 64 -4.44089209850063e-16
+16 0 0 0 0 8 48 64 -4.44089209850063e-16
+16 0 0 0 0 12 48 64 -4.44089209850063e-16
+16 0 0 0 0 16 48 64 -4.44089209850063e-16
+16 0 0 0 0 20 48 64 -4.44089209850063e-16
+16 0 0 0 0 24 48 64 -4.44089209850063e-16
+16 0 0 0 0 28 48 64 -4.44089209850063e-16
+16 0 0 0 0 32 48 64 -4.44089209850063e-16
+16 0 0 0 0 36 48 64 -4.44089209850063e-16
+16 0 0 0 0 40 48 64 -4.44089209850063e-16
+16 0 0 0 0 44 48 64 -4.44089209850063e-16
+16 0 0 0 0 48 48 64 -4.44089209850063e-16
+16 0 0 0 0 52 48 64 -4.44089209850063e-16
+16 0 0 0 0 56 48 64 -4.44089209850063e-16
+16 0 0 0 0 60 48 64 -4.44089209850063e-16
+16 0 0 0 0 64 48 64 -4.44089209850063e-16
+16 0 0 0 0 68 48 64 -4.44089209850063e-16
+16 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 -4.44089209850063e-16
+17 0 2 0 0 28 48 64 -4.44089209850063e-16
+17 0 2 0 0 29 48 64 -4.44089209850063e-16
+17 0 2 0 0 30 48 64 -4.44089209850063e-16
+17 0 2 0 0 31 48 64 -4.44089209850063e-16
+17 0 2 0 0 32 48 64 -4.44089209850063e-16
+17 0 2 0 0 33 48 64 -4.44089209850063e-16
+17 0 2 0 0 34 48 64 -4.44089209850063e-16
+17 0 2 0 0 35 48 64 -4.44089209850063e-16
+17 0 2 0 0 36 48 64 -4.44089209850063e-16
+17 0 2 0 0 37 48 64 -4.44089209850063e-16
+17 0 2 0 0 38 48 64 -4.44089209850063e-16
+17 0 2 0 0 39 48 64 -4.44089209850063e-16
+17 0 2 0 0 40 48 64 -4.44089209850063e-16
+17 0 2 0 0 41 48 64 -4.44089209850063e-16
+17 0 2 0 0 42 48 64 -4.44089209850063e-16
+17 0 2 0 0 43 48 64 -4.44089209850063e-16
+17 0 2 0 0 44 48 64 -4.44089209850063e-16
+17 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 -4.44089209850063e-16
+18 0 2 0 0 28 48 64 -4.44089209850063e-16
+18 0 2 0 0 29 48 64 -4.44089209850063e-16
+18 0 2 0 0 30 48 64 -4.44089209850063e-16
+18 0 2 0 0 31 48 64 -4.44089209850063e-16
+18 0 2 0 0 32 48 64 -4.44089209850063e-16
+18 0 2 0 0 33 48 64 -4.44089209850063e-16
+18 0 2 0 0 34 48 64 -4.44089209850063e-16
+18 0 2 0 0 35 48 64 -4.44089209850063e-16
+18 0 2 0 0 36 48 64 -4.44089209850063e-16
+18 0 2 0 0 37 48 64 -4.44089209850063e-16
+18 0 2 0 0 38 48 64 -4.44089209850063e-16
+18 0 2 0 0 39 48 64 -4.44089209850063e-16
+18 0 2 0 0 40 48 64 -4.44089209850063e-16
+18 0 2 0 0 41 48 64 -4.44089209850063e-16
+18 0 2 0 0 42 48 64 -4.44089209850063e-16
+18 0 2 0 0 43 48 64 -4.44089209850063e-16
+18 0 2 0 0 44 48 64 -4.44089209850063e-16
+18 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 -4.44089209850063e-16
+18 0 1 0 0 20 48 64 -4.44089209850063e-16
+18 0 1 0 0 22 48 64 -4.44089209850063e-16
+18 0 1 0 0 24 48 64 -4.44089209850063e-16
+18 0 1 0 0 26 48 64 -4.44089209850063e-16
+18 0 1 0 0 28 48 64 -4.44089209850063e-16
+18 0 1 0 0 30 48 64 -4.44089209850063e-16
+18 0 1 0 0 32 48 64 -4.44089209850063e-16
+18 0 1 0 0 34 48 64 -4.44089209850063e-16
+18 0 1 0 0 36 48 64 -4.44089209850063e-16
+18 0 1 0 0 38 48 64 -4.44089209850063e-16
+18 0 1 0 0 40 48 64 -4.44089209850063e-16
+18 0 1 0 0 42 48 64 -4.44089209850063e-16
+18 0 1 0 0 44 48 64 -4.44089209850063e-16
+18 0 1 0 0 46 48 64 -4.44089209850063e-16
+18 0 1 0 0 48 48 64 -4.44089209850063e-16
+18 0 1 0 0 50 48 64 -4.44089209850063e-16
+18 0 1 0 0 52 48 64 -4.44089209850063e-16
+18 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 -4.44089209850063e-16
+19 0 2 0 0 28 48 64 -4.44089209850063e-16
+19 0 2 0 0 29 48 64 -4.44089209850063e-16
+19 0 2 0 0 30 48 64 -4.44089209850063e-16
+19 0 2 0 0 31 48 64 -4.44089209850063e-16
+19 0 2 0 0 32 48 64 -4.44089209850063e-16
+19 0 2 0 0 33 48 64 -4.44089209850063e-16
+19 0 2 0 0 34 48 64 -4.44089209850063e-16
+19 0 2 0 0 35 48 64 -4.44089209850063e-16
+19 0 2 0 0 36 48 64 -4.44089209850063e-16
+19 0 2 0 0 37 48 64 -4.44089209850063e-16
+19 0 2 0 0 38 48 64 -4.44089209850063e-16
+19 0 2 0 0 39 48 64 -4.44089209850063e-16
+19 0 2 0 0 40 48 64 -4.44089209850063e-16
+19 0 2 0 0 41 48 64 -4.44089209850063e-16
+19 0 2 0 0 42 48 64 -4.44089209850063e-16
+19 0 2 0 0 43 48 64 -4.44089209850063e-16
+19 0 2 0 0 44 48 64 -4.44089209850063e-16
+19 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 -4.44089209850063e-16
+20 0 2 0 0 28 48 64 -4.44089209850063e-16
+20 0 2 0 0 29 48 64 -4.44089209850063e-16
+20 0 2 0 0 30 48 64 -4.44089209850063e-16
+20 0 2 0 0 31 48 64 -4.44089209850063e-16
+20 0 2 0 0 32 48 64 -4.44089209850063e-16
+20 0 2 0 0 33 48 64 -4.44089209850063e-16
+20 0 2 0 0 34 48 64 -4.44089209850063e-16
+20 0 2 0 0 35 48 64 -4.44089209850063e-16
+20 0 2 0 0 36 48 64 -4.44089209850063e-16
+20 0 2 0 0 37 48 64 -4.44089209850063e-16
+20 0 2 0 0 38 48 64 -4.44089209850063e-16
+20 0 2 0 0 39 48 64 -4.44089209850063e-16
+20 0 2 0 0 40 48 64 -4.44089209850063e-16
+20 0 2 0 0 41 48 64 -4.44089209850063e-16
+20 0 2 0 0 42 48 64 -4.44089209850063e-16
+20 0 2 0 0 43 48 64 -4.44089209850063e-16
+20 0 2 0 0 44 48 64 -4.44089209850063e-16
+20 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 -4.44089209850063e-16
+20 0 1 0 0 20 48 64 -4.44089209850063e-16
+20 0 1 0 0 22 48 64 -4.44089209850063e-16
+20 0 1 0 0 24 48 64 -4.44089209850063e-16
+20 0 1 0 0 26 48 64 -4.44089209850063e-16
+20 0 1 0 0 28 48 64 -4.44089209850063e-16
+20 0 1 0 0 30 48 64 -4.44089209850063e-16
+20 0 1 0 0 32 48 64 -4.44089209850063e-16
+20 0 1 0 0 34 48 64 -4.44089209850063e-16
+20 0 1 0 0 36 48 64 -4.44089209850063e-16
+20 0 1 0 0 38 48 64 -4.44089209850063e-16
+20 0 1 0 0 40 48 64 -4.44089209850063e-16
+20 0 1 0 0 42 48 64 -4.44089209850063e-16
+20 0 1 0 0 44 48 64 -4.44089209850063e-16
+20 0 1 0 0 46 48 64 -4.44089209850063e-16
+20 0 1 0 0 48 48 64 -4.44089209850063e-16
+20 0 1 0 0 50 48 64 -4.44089209850063e-16
+20 0 1 0 0 52 48 64 -4.44089209850063e-16
+20 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -4.44089209850063e-16
+20 0 0 0 0 4 48 64 -4.44089209850063e-16
+20 0 0 0 0 8 48 64 -4.44089209850063e-16
+20 0 0 0 0 12 48 64 -4.44089209850063e-16
+20 0 0 0 0 16 48 64 -4.44089209850063e-16
+20 0 0 0 0 20 48 64 -4.44089209850063e-16
+20 0 0 0 0 24 48 64 -4.44089209850063e-16
+20 0 0 0 0 28 48 64 -4.44089209850063e-16
+20 0 0 0 0 32 48 64 -4.44089209850063e-16
+20 0 0 0 0 36 48 64 -4.44089209850063e-16
+20 0 0 0 0 40 48 64 -4.44089209850063e-16
+20 0 0 0 0 44 48 64 -4.44089209850063e-16
+20 0 0 0 0 48 48 64 -4.44089209850063e-16
+20 0 0 0 0 52 48 64 -4.44089209850063e-16
+20 0 0 0 0 56 48 64 -4.44089209850063e-16
+20 0 0 0 0 60 48 64 -4.44089209850063e-16
+20 0 0 0 0 64 48 64 -4.44089209850063e-16
+20 0 0 0 0 68 48 64 -4.44089209850063e-16
+20 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 -4.44089209850063e-16
+21 0 2 0 0 28 48 64 -4.44089209850063e-16
+21 0 2 0 0 29 48 64 -4.44089209850063e-16
+21 0 2 0 0 30 48 64 -4.44089209850063e-16
+21 0 2 0 0 31 48 64 -4.44089209850063e-16
+21 0 2 0 0 32 48 64 -4.44089209850063e-16
+21 0 2 0 0 33 48 64 -4.44089209850063e-16
+21 0 2 0 0 34 48 64 -4.44089209850063e-16
+21 0 2 0 0 35 48 64 -4.44089209850063e-16
+21 0 2 0 0 36 48 64 -4.44089209850063e-16
+21 0 2 0 0 37 48 64 -4.44089209850063e-16
+21 0 2 0 0 38 48 64 -4.44089209850063e-16
+21 0 2 0 0 39 48 64 -4.44089209850063e-16
+21 0 2 0 0 40 48 64 -4.44089209850063e-16
+21 0 2 0 0 41 48 64 -4.44089209850063e-16
+21 0 2 0 0 42 48 64 -4.44089209850063e-16
+21 0 2 0 0 43 48 64 -4.44089209850063e-16
+21 0 2 0 0 44 48 64 -4.44089209850063e-16
+21 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 -4.44089209850063e-16
+22 0 2 0 0 28 48 64 -4.44089209850063e-16
+22 0 2 0 0 29 48 64 -4.44089209850063e-16
+22 0 2 0 0 30 48 64 -4.44089209850063e-16
+22 0 2 0 0 31 48 64 -4.44089209850063e-16
+22 0 2 0 0 32 48 64 -4.44089209850063e-16
+22 0 2 0 0 33 48 64 -4.44089209850063e-16
+22 0 2 0 0 34 48 64 -4.44089209850063e-16
+22 0 2 0 0 35 48 64 -4.44089209850063e-16
+22 0 2 0 0 36 48 64 -4.44089209850063e-16
+22 0 2 0 0 37 48 64 -4.44089209850063e-16
+22 0 2 0 0 38 48 64 -4.44089209850063e-16
+22 0 2 0 0 39 48 64 -4.44089209850063e-16
+22 0 2 0 0 40 48 64 -4.44089209850063e-16
+22 0 2 0 0 41 48 64 -4.44089209850063e-16
+22 0 2 0 0 42 48 64 -4.44089209850063e-16
+22 0 2 0 0 43 48 64 -4.44089209850063e-16
+22 0 2 0 0 44 48 64 -4.44089209850063e-16
+22 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 -4.44089209850063e-16
+22 0 1 0 0 20 48 64 -4.44089209850063e-16
+22 0 1 0 0 22 48 64 -4.44089209850063e-16
+22 0 1 0 0 24 48 64 -4.44089209850063e-16
+22 0 1 0 0 26 48 64 -4.44089209850063e-16
+22 0 1 0 0 28 48 64 -4.44089209850063e-16
+22 0 1 0 0 30 48 64 -4.44089209850063e-16
+22 0 1 0 0 32 48 64 -4.44089209850063e-16
+22 0 1 0 0 34 48 64 -4.44089209850063e-16
+22 0 1 0 0 36 48 64 -4.44089209850063e-16
+22 0 1 0 0 38 48 64 -4.44089209850063e-16
+22 0 1 0 0 40 48 64 -4.44089209850063e-16
+22 0 1 0 0 42 48 64 -4.44089209850063e-16
+22 0 1 0 0 44 48 64 -4.44089209850063e-16
+22 0 1 0 0 46 48 64 -4.44089209850063e-16
+22 0 1 0 0 48 48 64 -4.44089209850063e-16
+22 0 1 0 0 50 48 64 -4.44089209850063e-16
+22 0 1 0 0 52 48 64 -4.44089209850063e-16
+22 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 -4.44089209850063e-16
+23 0 2 0 0 28 48 64 -4.44089209850063e-16
+23 0 2 0 0 29 48 64 -4.44089209850063e-16
+23 0 2 0 0 30 48 64 -4.44089209850063e-16
+23 0 2 0 0 31 48 64 -4.44089209850063e-16
+23 0 2 0 0 32 48 64 -4.44089209850063e-16
+23 0 2 0 0 33 48 64 -4.44089209850063e-16
+23 0 2 0 0 34 48 64 -4.44089209850063e-16
+23 0 2 0 0 35 48 64 -4.44089209850063e-16
+23 0 2 0 0 36 48 64 -4.44089209850063e-16
+23 0 2 0 0 37 48 64 -4.44089209850063e-16
+23 0 2 0 0 38 48 64 -4.44089209850063e-16
+23 0 2 0 0 39 48 64 -4.44089209850063e-16
+23 0 2 0 0 40 48 64 -4.44089209850063e-16
+23 0 2 0 0 41 48 64 -4.44089209850063e-16
+23 0 2 0 0 42 48 64 -4.44089209850063e-16
+23 0 2 0 0 43 48 64 -4.44089209850063e-16
+23 0 2 0 0 44 48 64 -4.44089209850063e-16
+23 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 -4.44089209850063e-16
+24 0 2 0 0 28 48 64 -4.44089209850063e-16
+24 0 2 0 0 29 48 64 -4.44089209850063e-16
+24 0 2 0 0 30 48 64 -4.44089209850063e-16
+24 0 2 0 0 31 48 64 -4.44089209850063e-16
+24 0 2 0 0 32 48 64 -4.44089209850063e-16
+24 0 2 0 0 33 48 64 -4.44089209850063e-16
+24 0 2 0 0 34 48 64 -4.44089209850063e-16
+24 0 2 0 0 35 48 64 -4.44089209850063e-16
+24 0 2 0 0 36 48 64 -4.44089209850063e-16
+24 0 2 0 0 37 48 64 -4.44089209850063e-16
+24 0 2 0 0 38 48 64 -4.44089209850063e-16
+24 0 2 0 0 39 48 64 -4.44089209850063e-16
+24 0 2 0 0 40 48 64 -4.44089209850063e-16
+24 0 2 0 0 41 48 64 -4.44089209850063e-16
+24 0 2 0 0 42 48 64 -4.44089209850063e-16
+24 0 2 0 0 43 48 64 -4.44089209850063e-16
+24 0 2 0 0 44 48 64 -4.44089209850063e-16
+24 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 -4.44089209850063e-16
+24 0 1 0 0 20 48 64 -4.44089209850063e-16
+24 0 1 0 0 22 48 64 -4.44089209850063e-16
+24 0 1 0 0 24 48 64 -4.44089209850063e-16
+24 0 1 0 0 26 48 64 -4.44089209850063e-16
+24 0 1 0 0 28 48 64 -4.44089209850063e-16
+24 0 1 0 0 30 48 64 -4.44089209850063e-16
+24 0 1 0 0 32 48 64 -4.44089209850063e-16
+24 0 1 0 0 34 48 64 -4.44089209850063e-16
+24 0 1 0 0 36 48 64 -4.44089209850063e-16
+24 0 1 0 0 38 48 64 -4.44089209850063e-16
+24 0 1 0 0 40 48 64 -4.44089209850063e-16
+24 0 1 0 0 42 48 64 -4.44089209850063e-16
+24 0 1 0 0 44 48 64 -4.44089209850063e-16
+24 0 1 0 0 46 48 64 -4.44089209850063e-16
+24 0 1 0 0 48 48 64 -4.44089209850063e-16
+24 0 1 0 0 50 48 64 -4.44089209850063e-16
+24 0 1 0 0 52 48 64 -4.44089209850063e-16
+24 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -4.44089209850063e-16
+24 0 0 0 0 4 48 64 -4.44089209850063e-16
+24 0 0 0 0 8 48 64 -4.44089209850063e-16
+24 0 0 0 0 12 48 64 -4.44089209850063e-16
+24 0 0 0 0 16 48 64 -4.44089209850063e-16
+24 0 0 0 0 20 48 64 -4.44089209850063e-16
+24 0 0 0 0 24 48 64 -4.44089209850063e-16
+24 0 0 0 0 28 48 64 -4.44089209850063e-16
+24 0 0 0 0 32 48 64 -4.44089209850063e-16
+24 0 0 0 0 36 48 64 -4.44089209850063e-16
+24 0 0 0 0 40 48 64 -4.44089209850063e-16
+24 0 0 0 0 44 48 64 -4.44089209850063e-16
+24 0 0 0 0 48 48 64 -4.44089209850063e-16
+24 0 0 0 0 52 48 64 -4.44089209850063e-16
+24 0 0 0 0 56 48 64 -4.44089209850063e-16
+24 0 0 0 0 60 48 64 -4.44089209850063e-16
+24 0 0 0 0 64 48 64 -4.44089209850063e-16
+24 0 0 0 0 68 48 64 -4.44089209850063e-16
+24 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.yl
new file mode 100644
index 000000000..97fdbd2a8
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.yl
@@ -0,0 +1,1397 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 -1.35
+0 0 2 0 0 36 40 64 -1.2
+0 0 2 0 0 36 41 64 -1.05
+0 0 2 0 0 36 42 64 -0.9
+0 0 2 0 0 36 43 64 -0.75
+0 0 2 0 0 36 44 64 -0.6
+0 0 2 0 0 36 45 64 -0.45
+0 0 2 0 0 36 46 64 -0.3
+0 0 2 0 0 36 47 64 -0.15
+0 0 2 0 0 36 48 64 -4.44089209850063e-16
+0 0 2 0 0 36 49 64 0.15
+0 0 2 0 0 36 50 64 0.3
+0 0 2 0 0 36 51 64 0.45
+0 0 2 0 0 36 52 64 0.6
+0 0 2 0 0 36 53 64 0.75
+0 0 2 0 0 36 54 64 0.899999999999999
+0 0 2 0 0 36 55 64 1.05
+0 0 2 0 0 36 56 64 1.2
+0 0 2 0 0 36 57 64 1.35
+0 0 2 0 0 36 58 64 1.5
+0 0 2 0 0 36 59 64 1.65
+0 0 2 0 0 36 60 64 1.8
+0 0 2 0 0 36 61 64 1.95
+0 0 2 0 0 36 62 64 2.1
+0 0 2 0 0 36 63 64 2.25
+0 0 2 0 0 36 64 64 2.4
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 -3.3
+0 0 1 0 0 36 28 64 -3
+0 0 1 0 0 36 30 64 -2.7
+0 0 1 0 0 36 32 64 -2.4
+0 0 1 0 0 36 34 64 -2.1
+0 0 1 0 0 36 36 64 -1.8
+0 0 1 0 0 36 38 64 -1.5
+0 0 1 0 0 36 40 64 -1.2
+0 0 1 0 0 36 42 64 -0.9
+0 0 1 0 0 36 44 64 -0.6
+0 0 1 0 0 36 46 64 -0.3
+0 0 1 0 0 36 48 64 -4.44089209850063e-16
+0 0 1 0 0 36 50 64 0.3
+0 0 1 0 0 36 52 64 0.6
+0 0 1 0 0 36 54 64 0.899999999999999
+0 0 1 0 0 36 56 64 1.2
+0 0 1 0 0 36 58 64 1.5
+0 0 1 0 0 36 60 64 1.8
+0 0 1 0 0 36 62 64 2.1
+0 0 1 0 0 36 64 64 2.4
+0 0 1 0 0 36 66 64 2.7
+0 0 1 0 0 36 68 64 3
+0 0 1 0 0 36 70 64 3.3
+0 0 1 0 0 36 72 64 3.6
+0 0 1 0 0 36 74 64 3.9
+0 0 1 0 0 36 76 64 4.2
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -7.2
+0 0 0 0 0 36 4 64 -6.6
+0 0 0 0 0 36 8 64 -6
+0 0 0 0 0 36 12 64 -5.4
+0 0 0 0 0 36 16 64 -4.8
+0 0 0 0 0 36 20 64 -4.2
+0 0 0 0 0 36 24 64 -3.6
+0 0 0 0 0 36 28 64 -3
+0 0 0 0 0 36 32 64 -2.4
+0 0 0 0 0 36 36 64 -1.8
+0 0 0 0 0 36 40 64 -1.2
+0 0 0 0 0 36 44 64 -0.6
+0 0 0 0 0 36 48 64 -4.44089209850063e-16
+0 0 0 0 0 36 52 64 0.6
+0 0 0 0 0 36 56 64 1.2
+0 0 0 0 0 36 60 64 1.8
+0 0 0 0 0 36 64 64 2.4
+0 0 0 0 0 36 68 64 3
+0 0 0 0 0 36 72 64 3.6
+0 0 0 0 0 36 76 64 4.2
+0 0 0 0 0 36 80 64 4.8
+0 0 0 0 0 36 84 64 5.4
+0 0 0 0 0 36 88 64 6
+0 0 0 0 0 36 92 64 6.6
+0 0 0 0 0 36 96 64 7.2
+0 0 0 0 0 36 100 64 7.8
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 -1.35
+1 0 2 0 0 36 40 64 -1.2
+1 0 2 0 0 36 41 64 -1.05
+1 0 2 0 0 36 42 64 -0.9
+1 0 2 0 0 36 43 64 -0.75
+1 0 2 0 0 36 44 64 -0.6
+1 0 2 0 0 36 45 64 -0.45
+1 0 2 0 0 36 46 64 -0.3
+1 0 2 0 0 36 47 64 -0.15
+1 0 2 0 0 36 48 64 -4.44089209850063e-16
+1 0 2 0 0 36 49 64 0.15
+1 0 2 0 0 36 50 64 0.3
+1 0 2 0 0 36 51 64 0.45
+1 0 2 0 0 36 52 64 0.6
+1 0 2 0 0 36 53 64 0.75
+1 0 2 0 0 36 54 64 0.899999999999999
+1 0 2 0 0 36 55 64 1.05
+1 0 2 0 0 36 56 64 1.2
+1 0 2 0 0 36 57 64 1.35
+1 0 2 0 0 36 58 64 1.5
+1 0 2 0 0 36 59 64 1.65
+1 0 2 0 0 36 60 64 1.8
+1 0 2 0 0 36 61 64 1.95
+1 0 2 0 0 36 62 64 2.1
+1 0 2 0 0 36 63 64 2.25
+1 0 2 0 0 36 64 64 2.4
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 -1.35
+2 0 2 0 0 36 40 64 -1.2
+2 0 2 0 0 36 41 64 -1.05
+2 0 2 0 0 36 42 64 -0.9
+2 0 2 0 0 36 43 64 -0.75
+2 0 2 0 0 36 44 64 -0.6
+2 0 2 0 0 36 45 64 -0.45
+2 0 2 0 0 36 46 64 -0.3
+2 0 2 0 0 36 47 64 -0.15
+2 0 2 0 0 36 48 64 -4.44089209850063e-16
+2 0 2 0 0 36 49 64 0.15
+2 0 2 0 0 36 50 64 0.3
+2 0 2 0 0 36 51 64 0.45
+2 0 2 0 0 36 52 64 0.6
+2 0 2 0 0 36 53 64 0.75
+2 0 2 0 0 36 54 64 0.899999999999999
+2 0 2 0 0 36 55 64 1.05
+2 0 2 0 0 36 56 64 1.2
+2 0 2 0 0 36 57 64 1.35
+2 0 2 0 0 36 58 64 1.5
+2 0 2 0 0 36 59 64 1.65
+2 0 2 0 0 36 60 64 1.8
+2 0 2 0 0 36 61 64 1.95
+2 0 2 0 0 36 62 64 2.1
+2 0 2 0 0 36 63 64 2.25
+2 0 2 0 0 36 64 64 2.4
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 -3.3
+2 0 1 0 0 36 28 64 -3
+2 0 1 0 0 36 30 64 -2.7
+2 0 1 0 0 36 32 64 -2.4
+2 0 1 0 0 36 34 64 -2.1
+2 0 1 0 0 36 36 64 -1.8
+2 0 1 0 0 36 38 64 -1.5
+2 0 1 0 0 36 40 64 -1.2
+2 0 1 0 0 36 42 64 -0.9
+2 0 1 0 0 36 44 64 -0.6
+2 0 1 0 0 36 46 64 -0.3
+2 0 1 0 0 36 48 64 -4.44089209850063e-16
+2 0 1 0 0 36 50 64 0.3
+2 0 1 0 0 36 52 64 0.6
+2 0 1 0 0 36 54 64 0.899999999999999
+2 0 1 0 0 36 56 64 1.2
+2 0 1 0 0 36 58 64 1.5
+2 0 1 0 0 36 60 64 1.8
+2 0 1 0 0 36 62 64 2.1
+2 0 1 0 0 36 64 64 2.4
+2 0 1 0 0 36 66 64 2.7
+2 0 1 0 0 36 68 64 3
+2 0 1 0 0 36 70 64 3.3
+2 0 1 0 0 36 72 64 3.6
+2 0 1 0 0 36 74 64 3.9
+2 0 1 0 0 36 76 64 4.2
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 -1.35
+3 0 2 0 0 36 40 64 -1.2
+3 0 2 0 0 36 41 64 -1.05
+3 0 2 0 0 36 42 64 -0.9
+3 0 2 0 0 36 43 64 -0.75
+3 0 2 0 0 36 44 64 -0.6
+3 0 2 0 0 36 45 64 -0.45
+3 0 2 0 0 36 46 64 -0.3
+3 0 2 0 0 36 47 64 -0.15
+3 0 2 0 0 36 48 64 -4.44089209850063e-16
+3 0 2 0 0 36 49 64 0.15
+3 0 2 0 0 36 50 64 0.3
+3 0 2 0 0 36 51 64 0.45
+3 0 2 0 0 36 52 64 0.6
+3 0 2 0 0 36 53 64 0.75
+3 0 2 0 0 36 54 64 0.899999999999999
+3 0 2 0 0 36 55 64 1.05
+3 0 2 0 0 36 56 64 1.2
+3 0 2 0 0 36 57 64 1.35
+3 0 2 0 0 36 58 64 1.5
+3 0 2 0 0 36 59 64 1.65
+3 0 2 0 0 36 60 64 1.8
+3 0 2 0 0 36 61 64 1.95
+3 0 2 0 0 36 62 64 2.1
+3 0 2 0 0 36 63 64 2.25
+3 0 2 0 0 36 64 64 2.4
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 -1.35
+4 0 2 0 0 36 40 64 -1.2
+4 0 2 0 0 36 41 64 -1.05
+4 0 2 0 0 36 42 64 -0.9
+4 0 2 0 0 36 43 64 -0.75
+4 0 2 0 0 36 44 64 -0.6
+4 0 2 0 0 36 45 64 -0.45
+4 0 2 0 0 36 46 64 -0.3
+4 0 2 0 0 36 47 64 -0.15
+4 0 2 0 0 36 48 64 -4.44089209850063e-16
+4 0 2 0 0 36 49 64 0.15
+4 0 2 0 0 36 50 64 0.3
+4 0 2 0 0 36 51 64 0.45
+4 0 2 0 0 36 52 64 0.6
+4 0 2 0 0 36 53 64 0.75
+4 0 2 0 0 36 54 64 0.899999999999999
+4 0 2 0 0 36 55 64 1.05
+4 0 2 0 0 36 56 64 1.2
+4 0 2 0 0 36 57 64 1.35
+4 0 2 0 0 36 58 64 1.5
+4 0 2 0 0 36 59 64 1.65
+4 0 2 0 0 36 60 64 1.8
+4 0 2 0 0 36 61 64 1.95
+4 0 2 0 0 36 62 64 2.1
+4 0 2 0 0 36 63 64 2.25
+4 0 2 0 0 36 64 64 2.4
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 -3.3
+4 0 1 0 0 36 28 64 -3
+4 0 1 0 0 36 30 64 -2.7
+4 0 1 0 0 36 32 64 -2.4
+4 0 1 0 0 36 34 64 -2.1
+4 0 1 0 0 36 36 64 -1.8
+4 0 1 0 0 36 38 64 -1.5
+4 0 1 0 0 36 40 64 -1.2
+4 0 1 0 0 36 42 64 -0.9
+4 0 1 0 0 36 44 64 -0.6
+4 0 1 0 0 36 46 64 -0.3
+4 0 1 0 0 36 48 64 -4.44089209850063e-16
+4 0 1 0 0 36 50 64 0.3
+4 0 1 0 0 36 52 64 0.6
+4 0 1 0 0 36 54 64 0.899999999999999
+4 0 1 0 0 36 56 64 1.2
+4 0 1 0 0 36 58 64 1.5
+4 0 1 0 0 36 60 64 1.8
+4 0 1 0 0 36 62 64 2.1
+4 0 1 0 0 36 64 64 2.4
+4 0 1 0 0 36 66 64 2.7
+4 0 1 0 0 36 68 64 3
+4 0 1 0 0 36 70 64 3.3
+4 0 1 0 0 36 72 64 3.6
+4 0 1 0 0 36 74 64 3.9
+4 0 1 0 0 36 76 64 4.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 -7.2
+4 0 0 0 0 36 4 64 -6.6
+4 0 0 0 0 36 8 64 -6
+4 0 0 0 0 36 12 64 -5.4
+4 0 0 0 0 36 16 64 -4.8
+4 0 0 0 0 36 20 64 -4.2
+4 0 0 0 0 36 24 64 -3.6
+4 0 0 0 0 36 28 64 -3
+4 0 0 0 0 36 32 64 -2.4
+4 0 0 0 0 36 36 64 -1.8
+4 0 0 0 0 36 40 64 -1.2
+4 0 0 0 0 36 44 64 -0.6
+4 0 0 0 0 36 48 64 -4.44089209850063e-16
+4 0 0 0 0 36 52 64 0.6
+4 0 0 0 0 36 56 64 1.2
+4 0 0 0 0 36 60 64 1.8
+4 0 0 0 0 36 64 64 2.4
+4 0 0 0 0 36 68 64 3
+4 0 0 0 0 36 72 64 3.6
+4 0 0 0 0 36 76 64 4.2
+4 0 0 0 0 36 80 64 4.8
+4 0 0 0 0 36 84 64 5.4
+4 0 0 0 0 36 88 64 6
+4 0 0 0 0 36 92 64 6.6
+4 0 0 0 0 36 96 64 7.2
+4 0 0 0 0 36 100 64 7.8
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 -1.35
+5 0 2 0 0 36 40 64 -1.2
+5 0 2 0 0 36 41 64 -1.05
+5 0 2 0 0 36 42 64 -0.9
+5 0 2 0 0 36 43 64 -0.75
+5 0 2 0 0 36 44 64 -0.6
+5 0 2 0 0 36 45 64 -0.45
+5 0 2 0 0 36 46 64 -0.3
+5 0 2 0 0 36 47 64 -0.15
+5 0 2 0 0 36 48 64 -4.44089209850063e-16
+5 0 2 0 0 36 49 64 0.15
+5 0 2 0 0 36 50 64 0.3
+5 0 2 0 0 36 51 64 0.45
+5 0 2 0 0 36 52 64 0.6
+5 0 2 0 0 36 53 64 0.75
+5 0 2 0 0 36 54 64 0.899999999999999
+5 0 2 0 0 36 55 64 1.05
+5 0 2 0 0 36 56 64 1.2
+5 0 2 0 0 36 57 64 1.35
+5 0 2 0 0 36 58 64 1.5
+5 0 2 0 0 36 59 64 1.65
+5 0 2 0 0 36 60 64 1.8
+5 0 2 0 0 36 61 64 1.95
+5 0 2 0 0 36 62 64 2.1
+5 0 2 0 0 36 63 64 2.25
+5 0 2 0 0 36 64 64 2.4
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 -1.35
+6 0 2 0 0 36 40 64 -1.2
+6 0 2 0 0 36 41 64 -1.05
+6 0 2 0 0 36 42 64 -0.9
+6 0 2 0 0 36 43 64 -0.75
+6 0 2 0 0 36 44 64 -0.6
+6 0 2 0 0 36 45 64 -0.45
+6 0 2 0 0 36 46 64 -0.3
+6 0 2 0 0 36 47 64 -0.15
+6 0 2 0 0 36 48 64 -4.44089209850063e-16
+6 0 2 0 0 36 49 64 0.15
+6 0 2 0 0 36 50 64 0.3
+6 0 2 0 0 36 51 64 0.45
+6 0 2 0 0 36 52 64 0.6
+6 0 2 0 0 36 53 64 0.75
+6 0 2 0 0 36 54 64 0.899999999999999
+6 0 2 0 0 36 55 64 1.05
+6 0 2 0 0 36 56 64 1.2
+6 0 2 0 0 36 57 64 1.35
+6 0 2 0 0 36 58 64 1.5
+6 0 2 0 0 36 59 64 1.65
+6 0 2 0 0 36 60 64 1.8
+6 0 2 0 0 36 61 64 1.95
+6 0 2 0 0 36 62 64 2.1
+6 0 2 0 0 36 63 64 2.25
+6 0 2 0 0 36 64 64 2.4
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 -3.3
+6 0 1 0 0 36 28 64 -3
+6 0 1 0 0 36 30 64 -2.7
+6 0 1 0 0 36 32 64 -2.4
+6 0 1 0 0 36 34 64 -2.1
+6 0 1 0 0 36 36 64 -1.8
+6 0 1 0 0 36 38 64 -1.5
+6 0 1 0 0 36 40 64 -1.2
+6 0 1 0 0 36 42 64 -0.9
+6 0 1 0 0 36 44 64 -0.6
+6 0 1 0 0 36 46 64 -0.3
+6 0 1 0 0 36 48 64 -4.44089209850063e-16
+6 0 1 0 0 36 50 64 0.3
+6 0 1 0 0 36 52 64 0.6
+6 0 1 0 0 36 54 64 0.899999999999999
+6 0 1 0 0 36 56 64 1.2
+6 0 1 0 0 36 58 64 1.5
+6 0 1 0 0 36 60 64 1.8
+6 0 1 0 0 36 62 64 2.1
+6 0 1 0 0 36 64 64 2.4
+6 0 1 0 0 36 66 64 2.7
+6 0 1 0 0 36 68 64 3
+6 0 1 0 0 36 70 64 3.3
+6 0 1 0 0 36 72 64 3.6
+6 0 1 0 0 36 74 64 3.9
+6 0 1 0 0 36 76 64 4.2
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 -1.35
+7 0 2 0 0 36 40 64 -1.2
+7 0 2 0 0 36 41 64 -1.05
+7 0 2 0 0 36 42 64 -0.9
+7 0 2 0 0 36 43 64 -0.75
+7 0 2 0 0 36 44 64 -0.6
+7 0 2 0 0 36 45 64 -0.45
+7 0 2 0 0 36 46 64 -0.3
+7 0 2 0 0 36 47 64 -0.15
+7 0 2 0 0 36 48 64 -4.44089209850063e-16
+7 0 2 0 0 36 49 64 0.15
+7 0 2 0 0 36 50 64 0.3
+7 0 2 0 0 36 51 64 0.45
+7 0 2 0 0 36 52 64 0.6
+7 0 2 0 0 36 53 64 0.75
+7 0 2 0 0 36 54 64 0.899999999999999
+7 0 2 0 0 36 55 64 1.05
+7 0 2 0 0 36 56 64 1.2
+7 0 2 0 0 36 57 64 1.35
+7 0 2 0 0 36 58 64 1.5
+7 0 2 0 0 36 59 64 1.65
+7 0 2 0 0 36 60 64 1.8
+7 0 2 0 0 36 61 64 1.95
+7 0 2 0 0 36 62 64 2.1
+7 0 2 0 0 36 63 64 2.25
+7 0 2 0 0 36 64 64 2.4
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 -1.35
+8 0 2 0 0 36 40 64 -1.2
+8 0 2 0 0 36 41 64 -1.05
+8 0 2 0 0 36 42 64 -0.9
+8 0 2 0 0 36 43 64 -0.75
+8 0 2 0 0 36 44 64 -0.6
+8 0 2 0 0 36 45 64 -0.45
+8 0 2 0 0 36 46 64 -0.3
+8 0 2 0 0 36 47 64 -0.15
+8 0 2 0 0 36 48 64 -4.44089209850063e-16
+8 0 2 0 0 36 49 64 0.15
+8 0 2 0 0 36 50 64 0.3
+8 0 2 0 0 36 51 64 0.45
+8 0 2 0 0 36 52 64 0.6
+8 0 2 0 0 36 53 64 0.75
+8 0 2 0 0 36 54 64 0.899999999999999
+8 0 2 0 0 36 55 64 1.05
+8 0 2 0 0 36 56 64 1.2
+8 0 2 0 0 36 57 64 1.35
+8 0 2 0 0 36 58 64 1.5
+8 0 2 0 0 36 59 64 1.65
+8 0 2 0 0 36 60 64 1.8
+8 0 2 0 0 36 61 64 1.95
+8 0 2 0 0 36 62 64 2.1
+8 0 2 0 0 36 63 64 2.25
+8 0 2 0 0 36 64 64 2.4
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 -3.3
+8 0 1 0 0 36 28 64 -3
+8 0 1 0 0 36 30 64 -2.7
+8 0 1 0 0 36 32 64 -2.4
+8 0 1 0 0 36 34 64 -2.1
+8 0 1 0 0 36 36 64 -1.8
+8 0 1 0 0 36 38 64 -1.5
+8 0 1 0 0 36 40 64 -1.2
+8 0 1 0 0 36 42 64 -0.9
+8 0 1 0 0 36 44 64 -0.6
+8 0 1 0 0 36 46 64 -0.3
+8 0 1 0 0 36 48 64 -4.44089209850063e-16
+8 0 1 0 0 36 50 64 0.3
+8 0 1 0 0 36 52 64 0.6
+8 0 1 0 0 36 54 64 0.899999999999999
+8 0 1 0 0 36 56 64 1.2
+8 0 1 0 0 36 58 64 1.5
+8 0 1 0 0 36 60 64 1.8
+8 0 1 0 0 36 62 64 2.1
+8 0 1 0 0 36 64 64 2.4
+8 0 1 0 0 36 66 64 2.7
+8 0 1 0 0 36 68 64 3
+8 0 1 0 0 36 70 64 3.3
+8 0 1 0 0 36 72 64 3.6
+8 0 1 0 0 36 74 64 3.9
+8 0 1 0 0 36 76 64 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 -7.2
+8 0 0 0 0 36 4 64 -6.6
+8 0 0 0 0 36 8 64 -6
+8 0 0 0 0 36 12 64 -5.4
+8 0 0 0 0 36 16 64 -4.8
+8 0 0 0 0 36 20 64 -4.2
+8 0 0 0 0 36 24 64 -3.6
+8 0 0 0 0 36 28 64 -3
+8 0 0 0 0 36 32 64 -2.4
+8 0 0 0 0 36 36 64 -1.8
+8 0 0 0 0 36 40 64 -1.2
+8 0 0 0 0 36 44 64 -0.6
+8 0 0 0 0 36 48 64 -4.44089209850063e-16
+8 0 0 0 0 36 52 64 0.6
+8 0 0 0 0 36 56 64 1.2
+8 0 0 0 0 36 60 64 1.8
+8 0 0 0 0 36 64 64 2.4
+8 0 0 0 0 36 68 64 3
+8 0 0 0 0 36 72 64 3.6
+8 0 0 0 0 36 76 64 4.2
+8 0 0 0 0 36 80 64 4.8
+8 0 0 0 0 36 84 64 5.4
+8 0 0 0 0 36 88 64 6
+8 0 0 0 0 36 92 64 6.6
+8 0 0 0 0 36 96 64 7.2
+8 0 0 0 0 36 100 64 7.8
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 -1.35
+9 0 2 0 0 36 40 64 -1.2
+9 0 2 0 0 36 41 64 -1.05
+9 0 2 0 0 36 42 64 -0.9
+9 0 2 0 0 36 43 64 -0.75
+9 0 2 0 0 36 44 64 -0.6
+9 0 2 0 0 36 45 64 -0.45
+9 0 2 0 0 36 46 64 -0.3
+9 0 2 0 0 36 47 64 -0.15
+9 0 2 0 0 36 48 64 -4.44089209850063e-16
+9 0 2 0 0 36 49 64 0.15
+9 0 2 0 0 36 50 64 0.3
+9 0 2 0 0 36 51 64 0.45
+9 0 2 0 0 36 52 64 0.6
+9 0 2 0 0 36 53 64 0.75
+9 0 2 0 0 36 54 64 0.899999999999999
+9 0 2 0 0 36 55 64 1.05
+9 0 2 0 0 36 56 64 1.2
+9 0 2 0 0 36 57 64 1.35
+9 0 2 0 0 36 58 64 1.5
+9 0 2 0 0 36 59 64 1.65
+9 0 2 0 0 36 60 64 1.8
+9 0 2 0 0 36 61 64 1.95
+9 0 2 0 0 36 62 64 2.1
+9 0 2 0 0 36 63 64 2.25
+9 0 2 0 0 36 64 64 2.4
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 -1.35
+10 0 2 0 0 36 40 64 -1.2
+10 0 2 0 0 36 41 64 -1.05
+10 0 2 0 0 36 42 64 -0.9
+10 0 2 0 0 36 43 64 -0.75
+10 0 2 0 0 36 44 64 -0.6
+10 0 2 0 0 36 45 64 -0.45
+10 0 2 0 0 36 46 64 -0.3
+10 0 2 0 0 36 47 64 -0.15
+10 0 2 0 0 36 48 64 -4.44089209850063e-16
+10 0 2 0 0 36 49 64 0.15
+10 0 2 0 0 36 50 64 0.3
+10 0 2 0 0 36 51 64 0.45
+10 0 2 0 0 36 52 64 0.6
+10 0 2 0 0 36 53 64 0.75
+10 0 2 0 0 36 54 64 0.899999999999999
+10 0 2 0 0 36 55 64 1.05
+10 0 2 0 0 36 56 64 1.2
+10 0 2 0 0 36 57 64 1.35
+10 0 2 0 0 36 58 64 1.5
+10 0 2 0 0 36 59 64 1.65
+10 0 2 0 0 36 60 64 1.8
+10 0 2 0 0 36 61 64 1.95
+10 0 2 0 0 36 62 64 2.1
+10 0 2 0 0 36 63 64 2.25
+10 0 2 0 0 36 64 64 2.4
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 -3.3
+10 0 1 0 0 36 28 64 -3
+10 0 1 0 0 36 30 64 -2.7
+10 0 1 0 0 36 32 64 -2.4
+10 0 1 0 0 36 34 64 -2.1
+10 0 1 0 0 36 36 64 -1.8
+10 0 1 0 0 36 38 64 -1.5
+10 0 1 0 0 36 40 64 -1.2
+10 0 1 0 0 36 42 64 -0.9
+10 0 1 0 0 36 44 64 -0.6
+10 0 1 0 0 36 46 64 -0.3
+10 0 1 0 0 36 48 64 -4.44089209850063e-16
+10 0 1 0 0 36 50 64 0.3
+10 0 1 0 0 36 52 64 0.6
+10 0 1 0 0 36 54 64 0.899999999999999
+10 0 1 0 0 36 56 64 1.2
+10 0 1 0 0 36 58 64 1.5
+10 0 1 0 0 36 60 64 1.8
+10 0 1 0 0 36 62 64 2.1
+10 0 1 0 0 36 64 64 2.4
+10 0 1 0 0 36 66 64 2.7
+10 0 1 0 0 36 68 64 3
+10 0 1 0 0 36 70 64 3.3
+10 0 1 0 0 36 72 64 3.6
+10 0 1 0 0 36 74 64 3.9
+10 0 1 0 0 36 76 64 4.2
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 -1.35
+11 0 2 0 0 36 40 64 -1.2
+11 0 2 0 0 36 41 64 -1.05
+11 0 2 0 0 36 42 64 -0.9
+11 0 2 0 0 36 43 64 -0.75
+11 0 2 0 0 36 44 64 -0.6
+11 0 2 0 0 36 45 64 -0.45
+11 0 2 0 0 36 46 64 -0.3
+11 0 2 0 0 36 47 64 -0.15
+11 0 2 0 0 36 48 64 -4.44089209850063e-16
+11 0 2 0 0 36 49 64 0.15
+11 0 2 0 0 36 50 64 0.3
+11 0 2 0 0 36 51 64 0.45
+11 0 2 0 0 36 52 64 0.6
+11 0 2 0 0 36 53 64 0.75
+11 0 2 0 0 36 54 64 0.899999999999999
+11 0 2 0 0 36 55 64 1.05
+11 0 2 0 0 36 56 64 1.2
+11 0 2 0 0 36 57 64 1.35
+11 0 2 0 0 36 58 64 1.5
+11 0 2 0 0 36 59 64 1.65
+11 0 2 0 0 36 60 64 1.8
+11 0 2 0 0 36 61 64 1.95
+11 0 2 0 0 36 62 64 2.1
+11 0 2 0 0 36 63 64 2.25
+11 0 2 0 0 36 64 64 2.4
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 -1.35
+12 0 2 0 0 36 40 64 -1.2
+12 0 2 0 0 36 41 64 -1.05
+12 0 2 0 0 36 42 64 -0.9
+12 0 2 0 0 36 43 64 -0.75
+12 0 2 0 0 36 44 64 -0.6
+12 0 2 0 0 36 45 64 -0.45
+12 0 2 0 0 36 46 64 -0.3
+12 0 2 0 0 36 47 64 -0.15
+12 0 2 0 0 36 48 64 -4.44089209850063e-16
+12 0 2 0 0 36 49 64 0.15
+12 0 2 0 0 36 50 64 0.3
+12 0 2 0 0 36 51 64 0.45
+12 0 2 0 0 36 52 64 0.6
+12 0 2 0 0 36 53 64 0.75
+12 0 2 0 0 36 54 64 0.899999999999999
+12 0 2 0 0 36 55 64 1.05
+12 0 2 0 0 36 56 64 1.2
+12 0 2 0 0 36 57 64 1.35
+12 0 2 0 0 36 58 64 1.5
+12 0 2 0 0 36 59 64 1.65
+12 0 2 0 0 36 60 64 1.8
+12 0 2 0 0 36 61 64 1.95
+12 0 2 0 0 36 62 64 2.1
+12 0 2 0 0 36 63 64 2.25
+12 0 2 0 0 36 64 64 2.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 -3.3
+12 0 1 0 0 36 28 64 -3
+12 0 1 0 0 36 30 64 -2.7
+12 0 1 0 0 36 32 64 -2.4
+12 0 1 0 0 36 34 64 -2.1
+12 0 1 0 0 36 36 64 -1.8
+12 0 1 0 0 36 38 64 -1.5
+12 0 1 0 0 36 40 64 -1.2
+12 0 1 0 0 36 42 64 -0.9
+12 0 1 0 0 36 44 64 -0.6
+12 0 1 0 0 36 46 64 -0.3
+12 0 1 0 0 36 48 64 -4.44089209850063e-16
+12 0 1 0 0 36 50 64 0.3
+12 0 1 0 0 36 52 64 0.6
+12 0 1 0 0 36 54 64 0.899999999999999
+12 0 1 0 0 36 56 64 1.2
+12 0 1 0 0 36 58 64 1.5
+12 0 1 0 0 36 60 64 1.8
+12 0 1 0 0 36 62 64 2.1
+12 0 1 0 0 36 64 64 2.4
+12 0 1 0 0 36 66 64 2.7
+12 0 1 0 0 36 68 64 3
+12 0 1 0 0 36 70 64 3.3
+12 0 1 0 0 36 72 64 3.6
+12 0 1 0 0 36 74 64 3.9
+12 0 1 0 0 36 76 64 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 -7.2
+12 0 0 0 0 36 4 64 -6.6
+12 0 0 0 0 36 8 64 -6
+12 0 0 0 0 36 12 64 -5.4
+12 0 0 0 0 36 16 64 -4.8
+12 0 0 0 0 36 20 64 -4.2
+12 0 0 0 0 36 24 64 -3.6
+12 0 0 0 0 36 28 64 -3
+12 0 0 0 0 36 32 64 -2.4
+12 0 0 0 0 36 36 64 -1.8
+12 0 0 0 0 36 40 64 -1.2
+12 0 0 0 0 36 44 64 -0.6
+12 0 0 0 0 36 48 64 -4.44089209850063e-16
+12 0 0 0 0 36 52 64 0.6
+12 0 0 0 0 36 56 64 1.2
+12 0 0 0 0 36 60 64 1.8
+12 0 0 0 0 36 64 64 2.4
+12 0 0 0 0 36 68 64 3
+12 0 0 0 0 36 72 64 3.6
+12 0 0 0 0 36 76 64 4.2
+12 0 0 0 0 36 80 64 4.8
+12 0 0 0 0 36 84 64 5.4
+12 0 0 0 0 36 88 64 6
+12 0 0 0 0 36 92 64 6.6
+12 0 0 0 0 36 96 64 7.2
+12 0 0 0 0 36 100 64 7.8
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 -1.35
+13 0 2 0 0 36 40 64 -1.2
+13 0 2 0 0 36 41 64 -1.05
+13 0 2 0 0 36 42 64 -0.9
+13 0 2 0 0 36 43 64 -0.75
+13 0 2 0 0 36 44 64 -0.6
+13 0 2 0 0 36 45 64 -0.45
+13 0 2 0 0 36 46 64 -0.3
+13 0 2 0 0 36 47 64 -0.15
+13 0 2 0 0 36 48 64 -4.44089209850063e-16
+13 0 2 0 0 36 49 64 0.15
+13 0 2 0 0 36 50 64 0.3
+13 0 2 0 0 36 51 64 0.45
+13 0 2 0 0 36 52 64 0.6
+13 0 2 0 0 36 53 64 0.75
+13 0 2 0 0 36 54 64 0.899999999999999
+13 0 2 0 0 36 55 64 1.05
+13 0 2 0 0 36 56 64 1.2
+13 0 2 0 0 36 57 64 1.35
+13 0 2 0 0 36 58 64 1.5
+13 0 2 0 0 36 59 64 1.65
+13 0 2 0 0 36 60 64 1.8
+13 0 2 0 0 36 61 64 1.95
+13 0 2 0 0 36 62 64 2.1
+13 0 2 0 0 36 63 64 2.25
+13 0 2 0 0 36 64 64 2.4
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 -1.35
+14 0 2 0 0 36 40 64 -1.2
+14 0 2 0 0 36 41 64 -1.05
+14 0 2 0 0 36 42 64 -0.9
+14 0 2 0 0 36 43 64 -0.75
+14 0 2 0 0 36 44 64 -0.6
+14 0 2 0 0 36 45 64 -0.45
+14 0 2 0 0 36 46 64 -0.3
+14 0 2 0 0 36 47 64 -0.15
+14 0 2 0 0 36 48 64 -4.44089209850063e-16
+14 0 2 0 0 36 49 64 0.15
+14 0 2 0 0 36 50 64 0.3
+14 0 2 0 0 36 51 64 0.45
+14 0 2 0 0 36 52 64 0.6
+14 0 2 0 0 36 53 64 0.75
+14 0 2 0 0 36 54 64 0.899999999999999
+14 0 2 0 0 36 55 64 1.05
+14 0 2 0 0 36 56 64 1.2
+14 0 2 0 0 36 57 64 1.35
+14 0 2 0 0 36 58 64 1.5
+14 0 2 0 0 36 59 64 1.65
+14 0 2 0 0 36 60 64 1.8
+14 0 2 0 0 36 61 64 1.95
+14 0 2 0 0 36 62 64 2.1
+14 0 2 0 0 36 63 64 2.25
+14 0 2 0 0 36 64 64 2.4
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 -3.3
+14 0 1 0 0 36 28 64 -3
+14 0 1 0 0 36 30 64 -2.7
+14 0 1 0 0 36 32 64 -2.4
+14 0 1 0 0 36 34 64 -2.1
+14 0 1 0 0 36 36 64 -1.8
+14 0 1 0 0 36 38 64 -1.5
+14 0 1 0 0 36 40 64 -1.2
+14 0 1 0 0 36 42 64 -0.9
+14 0 1 0 0 36 44 64 -0.6
+14 0 1 0 0 36 46 64 -0.3
+14 0 1 0 0 36 48 64 -4.44089209850063e-16
+14 0 1 0 0 36 50 64 0.3
+14 0 1 0 0 36 52 64 0.6
+14 0 1 0 0 36 54 64 0.899999999999999
+14 0 1 0 0 36 56 64 1.2
+14 0 1 0 0 36 58 64 1.5
+14 0 1 0 0 36 60 64 1.8
+14 0 1 0 0 36 62 64 2.1
+14 0 1 0 0 36 64 64 2.4
+14 0 1 0 0 36 66 64 2.7
+14 0 1 0 0 36 68 64 3
+14 0 1 0 0 36 70 64 3.3
+14 0 1 0 0 36 72 64 3.6
+14 0 1 0 0 36 74 64 3.9
+14 0 1 0 0 36 76 64 4.2
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 -1.35
+15 0 2 0 0 36 40 64 -1.2
+15 0 2 0 0 36 41 64 -1.05
+15 0 2 0 0 36 42 64 -0.9
+15 0 2 0 0 36 43 64 -0.75
+15 0 2 0 0 36 44 64 -0.6
+15 0 2 0 0 36 45 64 -0.45
+15 0 2 0 0 36 46 64 -0.3
+15 0 2 0 0 36 47 64 -0.15
+15 0 2 0 0 36 48 64 -4.44089209850063e-16
+15 0 2 0 0 36 49 64 0.15
+15 0 2 0 0 36 50 64 0.3
+15 0 2 0 0 36 51 64 0.45
+15 0 2 0 0 36 52 64 0.6
+15 0 2 0 0 36 53 64 0.75
+15 0 2 0 0 36 54 64 0.899999999999999
+15 0 2 0 0 36 55 64 1.05
+15 0 2 0 0 36 56 64 1.2
+15 0 2 0 0 36 57 64 1.35
+15 0 2 0 0 36 58 64 1.5
+15 0 2 0 0 36 59 64 1.65
+15 0 2 0 0 36 60 64 1.8
+15 0 2 0 0 36 61 64 1.95
+15 0 2 0 0 36 62 64 2.1
+15 0 2 0 0 36 63 64 2.25
+15 0 2 0 0 36 64 64 2.4
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 -1.35
+16 0 2 0 0 36 40 64 -1.2
+16 0 2 0 0 36 41 64 -1.05
+16 0 2 0 0 36 42 64 -0.9
+16 0 2 0 0 36 43 64 -0.75
+16 0 2 0 0 36 44 64 -0.6
+16 0 2 0 0 36 45 64 -0.45
+16 0 2 0 0 36 46 64 -0.3
+16 0 2 0 0 36 47 64 -0.15
+16 0 2 0 0 36 48 64 -4.44089209850063e-16
+16 0 2 0 0 36 49 64 0.15
+16 0 2 0 0 36 50 64 0.3
+16 0 2 0 0 36 51 64 0.45
+16 0 2 0 0 36 52 64 0.6
+16 0 2 0 0 36 53 64 0.75
+16 0 2 0 0 36 54 64 0.899999999999999
+16 0 2 0 0 36 55 64 1.05
+16 0 2 0 0 36 56 64 1.2
+16 0 2 0 0 36 57 64 1.35
+16 0 2 0 0 36 58 64 1.5
+16 0 2 0 0 36 59 64 1.65
+16 0 2 0 0 36 60 64 1.8
+16 0 2 0 0 36 61 64 1.95
+16 0 2 0 0 36 62 64 2.1
+16 0 2 0 0 36 63 64 2.25
+16 0 2 0 0 36 64 64 2.4
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 -3.3
+16 0 1 0 0 36 28 64 -3
+16 0 1 0 0 36 30 64 -2.7
+16 0 1 0 0 36 32 64 -2.4
+16 0 1 0 0 36 34 64 -2.1
+16 0 1 0 0 36 36 64 -1.8
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+16 0 1 0 0 36 40 64 -1.2
+16 0 1 0 0 36 42 64 -0.9
+16 0 1 0 0 36 44 64 -0.6
+16 0 1 0 0 36 46 64 -0.3
+16 0 1 0 0 36 48 64 -4.44089209850063e-16
+16 0 1 0 0 36 50 64 0.3
+16 0 1 0 0 36 52 64 0.6
+16 0 1 0 0 36 54 64 0.899999999999999
+16 0 1 0 0 36 56 64 1.2
+16 0 1 0 0 36 58 64 1.5
+16 0 1 0 0 36 60 64 1.8
+16 0 1 0 0 36 62 64 2.1
+16 0 1 0 0 36 64 64 2.4
+16 0 1 0 0 36 66 64 2.7
+16 0 1 0 0 36 68 64 3
+16 0 1 0 0 36 70 64 3.3
+16 0 1 0 0 36 72 64 3.6
+16 0 1 0 0 36 74 64 3.9
+16 0 1 0 0 36 76 64 4.2
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 -7.2
+16 0 0 0 0 36 4 64 -6.6
+16 0 0 0 0 36 8 64 -6
+16 0 0 0 0 36 12 64 -5.4
+16 0 0 0 0 36 16 64 -4.8
+16 0 0 0 0 36 20 64 -4.2
+16 0 0 0 0 36 24 64 -3.6
+16 0 0 0 0 36 28 64 -3
+16 0 0 0 0 36 32 64 -2.4
+16 0 0 0 0 36 36 64 -1.8
+16 0 0 0 0 36 40 64 -1.2
+16 0 0 0 0 36 44 64 -0.6
+16 0 0 0 0 36 48 64 -4.44089209850063e-16
+16 0 0 0 0 36 52 64 0.6
+16 0 0 0 0 36 56 64 1.2
+16 0 0 0 0 36 60 64 1.8
+16 0 0 0 0 36 64 64 2.4
+16 0 0 0 0 36 68 64 3
+16 0 0 0 0 36 72 64 3.6
+16 0 0 0 0 36 76 64 4.2
+16 0 0 0 0 36 80 64 4.8
+16 0 0 0 0 36 84 64 5.4
+16 0 0 0 0 36 88 64 6
+16 0 0 0 0 36 92 64 6.6
+16 0 0 0 0 36 96 64 7.2
+16 0 0 0 0 36 100 64 7.8
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 -1.35
+17 0 2 0 0 36 40 64 -1.2
+17 0 2 0 0 36 41 64 -1.05
+17 0 2 0 0 36 42 64 -0.9
+17 0 2 0 0 36 43 64 -0.75
+17 0 2 0 0 36 44 64 -0.6
+17 0 2 0 0 36 45 64 -0.45
+17 0 2 0 0 36 46 64 -0.3
+17 0 2 0 0 36 47 64 -0.15
+17 0 2 0 0 36 48 64 -4.44089209850063e-16
+17 0 2 0 0 36 49 64 0.15
+17 0 2 0 0 36 50 64 0.3
+17 0 2 0 0 36 51 64 0.45
+17 0 2 0 0 36 52 64 0.6
+17 0 2 0 0 36 53 64 0.75
+17 0 2 0 0 36 54 64 0.899999999999999
+17 0 2 0 0 36 55 64 1.05
+17 0 2 0 0 36 56 64 1.2
+17 0 2 0 0 36 57 64 1.35
+17 0 2 0 0 36 58 64 1.5
+17 0 2 0 0 36 59 64 1.65
+17 0 2 0 0 36 60 64 1.8
+17 0 2 0 0 36 61 64 1.95
+17 0 2 0 0 36 62 64 2.1
+17 0 2 0 0 36 63 64 2.25
+17 0 2 0 0 36 64 64 2.4
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 -1.35
+18 0 2 0 0 36 40 64 -1.2
+18 0 2 0 0 36 41 64 -1.05
+18 0 2 0 0 36 42 64 -0.9
+18 0 2 0 0 36 43 64 -0.75
+18 0 2 0 0 36 44 64 -0.6
+18 0 2 0 0 36 45 64 -0.45
+18 0 2 0 0 36 46 64 -0.3
+18 0 2 0 0 36 47 64 -0.15
+18 0 2 0 0 36 48 64 -4.44089209850063e-16
+18 0 2 0 0 36 49 64 0.15
+18 0 2 0 0 36 50 64 0.3
+18 0 2 0 0 36 51 64 0.45
+18 0 2 0 0 36 52 64 0.6
+18 0 2 0 0 36 53 64 0.75
+18 0 2 0 0 36 54 64 0.899999999999999
+18 0 2 0 0 36 55 64 1.05
+18 0 2 0 0 36 56 64 1.2
+18 0 2 0 0 36 57 64 1.35
+18 0 2 0 0 36 58 64 1.5
+18 0 2 0 0 36 59 64 1.65
+18 0 2 0 0 36 60 64 1.8
+18 0 2 0 0 36 61 64 1.95
+18 0 2 0 0 36 62 64 2.1
+18 0 2 0 0 36 63 64 2.25
+18 0 2 0 0 36 64 64 2.4
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 -3.3
+18 0 1 0 0 36 28 64 -3
+18 0 1 0 0 36 30 64 -2.7
+18 0 1 0 0 36 32 64 -2.4
+18 0 1 0 0 36 34 64 -2.1
+18 0 1 0 0 36 36 64 -1.8
+18 0 1 0 0 36 38 64 -1.5
+18 0 1 0 0 36 40 64 -1.2
+18 0 1 0 0 36 42 64 -0.9
+18 0 1 0 0 36 44 64 -0.6
+18 0 1 0 0 36 46 64 -0.3
+18 0 1 0 0 36 48 64 -4.44089209850063e-16
+18 0 1 0 0 36 50 64 0.3
+18 0 1 0 0 36 52 64 0.6
+18 0 1 0 0 36 54 64 0.899999999999999
+18 0 1 0 0 36 56 64 1.2
+18 0 1 0 0 36 58 64 1.5
+18 0 1 0 0 36 60 64 1.8
+18 0 1 0 0 36 62 64 2.1
+18 0 1 0 0 36 64 64 2.4
+18 0 1 0 0 36 66 64 2.7
+18 0 1 0 0 36 68 64 3
+18 0 1 0 0 36 70 64 3.3
+18 0 1 0 0 36 72 64 3.6
+18 0 1 0 0 36 74 64 3.9
+18 0 1 0 0 36 76 64 4.2
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 -1.35
+19 0 2 0 0 36 40 64 -1.2
+19 0 2 0 0 36 41 64 -1.05
+19 0 2 0 0 36 42 64 -0.9
+19 0 2 0 0 36 43 64 -0.75
+19 0 2 0 0 36 44 64 -0.6
+19 0 2 0 0 36 45 64 -0.45
+19 0 2 0 0 36 46 64 -0.3
+19 0 2 0 0 36 47 64 -0.15
+19 0 2 0 0 36 48 64 -4.44089209850063e-16
+19 0 2 0 0 36 49 64 0.15
+19 0 2 0 0 36 50 64 0.3
+19 0 2 0 0 36 51 64 0.45
+19 0 2 0 0 36 52 64 0.6
+19 0 2 0 0 36 53 64 0.75
+19 0 2 0 0 36 54 64 0.899999999999999
+19 0 2 0 0 36 55 64 1.05
+19 0 2 0 0 36 56 64 1.2
+19 0 2 0 0 36 57 64 1.35
+19 0 2 0 0 36 58 64 1.5
+19 0 2 0 0 36 59 64 1.65
+19 0 2 0 0 36 60 64 1.8
+19 0 2 0 0 36 61 64 1.95
+19 0 2 0 0 36 62 64 2.1
+19 0 2 0 0 36 63 64 2.25
+19 0 2 0 0 36 64 64 2.4
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 -1.35
+20 0 2 0 0 36 40 64 -1.2
+20 0 2 0 0 36 41 64 -1.05
+20 0 2 0 0 36 42 64 -0.9
+20 0 2 0 0 36 43 64 -0.75
+20 0 2 0 0 36 44 64 -0.6
+20 0 2 0 0 36 45 64 -0.45
+20 0 2 0 0 36 46 64 -0.3
+20 0 2 0 0 36 47 64 -0.15
+20 0 2 0 0 36 48 64 -4.44089209850063e-16
+20 0 2 0 0 36 49 64 0.15
+20 0 2 0 0 36 50 64 0.3
+20 0 2 0 0 36 51 64 0.45
+20 0 2 0 0 36 52 64 0.6
+20 0 2 0 0 36 53 64 0.75
+20 0 2 0 0 36 54 64 0.899999999999999
+20 0 2 0 0 36 55 64 1.05
+20 0 2 0 0 36 56 64 1.2
+20 0 2 0 0 36 57 64 1.35
+20 0 2 0 0 36 58 64 1.5
+20 0 2 0 0 36 59 64 1.65
+20 0 2 0 0 36 60 64 1.8
+20 0 2 0 0 36 61 64 1.95
+20 0 2 0 0 36 62 64 2.1
+20 0 2 0 0 36 63 64 2.25
+20 0 2 0 0 36 64 64 2.4
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 -3.3
+20 0 1 0 0 36 28 64 -3
+20 0 1 0 0 36 30 64 -2.7
+20 0 1 0 0 36 32 64 -2.4
+20 0 1 0 0 36 34 64 -2.1
+20 0 1 0 0 36 36 64 -1.8
+20 0 1 0 0 36 38 64 -1.5
+20 0 1 0 0 36 40 64 -1.2
+20 0 1 0 0 36 42 64 -0.9
+20 0 1 0 0 36 44 64 -0.6
+20 0 1 0 0 36 46 64 -0.3
+20 0 1 0 0 36 48 64 -4.44089209850063e-16
+20 0 1 0 0 36 50 64 0.3
+20 0 1 0 0 36 52 64 0.6
+20 0 1 0 0 36 54 64 0.899999999999999
+20 0 1 0 0 36 56 64 1.2
+20 0 1 0 0 36 58 64 1.5
+20 0 1 0 0 36 60 64 1.8
+20 0 1 0 0 36 62 64 2.1
+20 0 1 0 0 36 64 64 2.4
+20 0 1 0 0 36 66 64 2.7
+20 0 1 0 0 36 68 64 3
+20 0 1 0 0 36 70 64 3.3
+20 0 1 0 0 36 72 64 3.6
+20 0 1 0 0 36 74 64 3.9
+20 0 1 0 0 36 76 64 4.2
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 -7.2
+20 0 0 0 0 36 4 64 -6.6
+20 0 0 0 0 36 8 64 -6
+20 0 0 0 0 36 12 64 -5.4
+20 0 0 0 0 36 16 64 -4.8
+20 0 0 0 0 36 20 64 -4.2
+20 0 0 0 0 36 24 64 -3.6
+20 0 0 0 0 36 28 64 -3
+20 0 0 0 0 36 32 64 -2.4
+20 0 0 0 0 36 36 64 -1.8
+20 0 0 0 0 36 40 64 -1.2
+20 0 0 0 0 36 44 64 -0.6
+20 0 0 0 0 36 48 64 -4.44089209850063e-16
+20 0 0 0 0 36 52 64 0.6
+20 0 0 0 0 36 56 64 1.2
+20 0 0 0 0 36 60 64 1.8
+20 0 0 0 0 36 64 64 2.4
+20 0 0 0 0 36 68 64 3
+20 0 0 0 0 36 72 64 3.6
+20 0 0 0 0 36 76 64 4.2
+20 0 0 0 0 36 80 64 4.8
+20 0 0 0 0 36 84 64 5.4
+20 0 0 0 0 36 88 64 6
+20 0 0 0 0 36 92 64 6.6
+20 0 0 0 0 36 96 64 7.2
+20 0 0 0 0 36 100 64 7.8
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 -1.35
+21 0 2 0 0 36 40 64 -1.2
+21 0 2 0 0 36 41 64 -1.05
+21 0 2 0 0 36 42 64 -0.9
+21 0 2 0 0 36 43 64 -0.75
+21 0 2 0 0 36 44 64 -0.6
+21 0 2 0 0 36 45 64 -0.45
+21 0 2 0 0 36 46 64 -0.3
+21 0 2 0 0 36 47 64 -0.15
+21 0 2 0 0 36 48 64 -4.44089209850063e-16
+21 0 2 0 0 36 49 64 0.15
+21 0 2 0 0 36 50 64 0.3
+21 0 2 0 0 36 51 64 0.45
+21 0 2 0 0 36 52 64 0.6
+21 0 2 0 0 36 53 64 0.75
+21 0 2 0 0 36 54 64 0.899999999999999
+21 0 2 0 0 36 55 64 1.05
+21 0 2 0 0 36 56 64 1.2
+21 0 2 0 0 36 57 64 1.35
+21 0 2 0 0 36 58 64 1.5
+21 0 2 0 0 36 59 64 1.65
+21 0 2 0 0 36 60 64 1.8
+21 0 2 0 0 36 61 64 1.95
+21 0 2 0 0 36 62 64 2.1
+21 0 2 0 0 36 63 64 2.25
+21 0 2 0 0 36 64 64 2.4
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 -1.35
+22 0 2 0 0 36 40 64 -1.2
+22 0 2 0 0 36 41 64 -1.05
+22 0 2 0 0 36 42 64 -0.9
+22 0 2 0 0 36 43 64 -0.75
+22 0 2 0 0 36 44 64 -0.6
+22 0 2 0 0 36 45 64 -0.45
+22 0 2 0 0 36 46 64 -0.3
+22 0 2 0 0 36 47 64 -0.15
+22 0 2 0 0 36 48 64 -4.44089209850063e-16
+22 0 2 0 0 36 49 64 0.15
+22 0 2 0 0 36 50 64 0.3
+22 0 2 0 0 36 51 64 0.45
+22 0 2 0 0 36 52 64 0.6
+22 0 2 0 0 36 53 64 0.75
+22 0 2 0 0 36 54 64 0.899999999999999
+22 0 2 0 0 36 55 64 1.05
+22 0 2 0 0 36 56 64 1.2
+22 0 2 0 0 36 57 64 1.35
+22 0 2 0 0 36 58 64 1.5
+22 0 2 0 0 36 59 64 1.65
+22 0 2 0 0 36 60 64 1.8
+22 0 2 0 0 36 61 64 1.95
+22 0 2 0 0 36 62 64 2.1
+22 0 2 0 0 36 63 64 2.25
+22 0 2 0 0 36 64 64 2.4
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 -3.3
+22 0 1 0 0 36 28 64 -3
+22 0 1 0 0 36 30 64 -2.7
+22 0 1 0 0 36 32 64 -2.4
+22 0 1 0 0 36 34 64 -2.1
+22 0 1 0 0 36 36 64 -1.8
+22 0 1 0 0 36 38 64 -1.5
+22 0 1 0 0 36 40 64 -1.2
+22 0 1 0 0 36 42 64 -0.9
+22 0 1 0 0 36 44 64 -0.6
+22 0 1 0 0 36 46 64 -0.3
+22 0 1 0 0 36 48 64 -4.44089209850063e-16
+22 0 1 0 0 36 50 64 0.3
+22 0 1 0 0 36 52 64 0.6
+22 0 1 0 0 36 54 64 0.899999999999999
+22 0 1 0 0 36 56 64 1.2
+22 0 1 0 0 36 58 64 1.5
+22 0 1 0 0 36 60 64 1.8
+22 0 1 0 0 36 62 64 2.1
+22 0 1 0 0 36 64 64 2.4
+22 0 1 0 0 36 66 64 2.7
+22 0 1 0 0 36 68 64 3
+22 0 1 0 0 36 70 64 3.3
+22 0 1 0 0 36 72 64 3.6
+22 0 1 0 0 36 74 64 3.9
+22 0 1 0 0 36 76 64 4.2
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 -1.35
+23 0 2 0 0 36 40 64 -1.2
+23 0 2 0 0 36 41 64 -1.05
+23 0 2 0 0 36 42 64 -0.9
+23 0 2 0 0 36 43 64 -0.75
+23 0 2 0 0 36 44 64 -0.6
+23 0 2 0 0 36 45 64 -0.45
+23 0 2 0 0 36 46 64 -0.3
+23 0 2 0 0 36 47 64 -0.15
+23 0 2 0 0 36 48 64 -4.44089209850063e-16
+23 0 2 0 0 36 49 64 0.15
+23 0 2 0 0 36 50 64 0.3
+23 0 2 0 0 36 51 64 0.45
+23 0 2 0 0 36 52 64 0.6
+23 0 2 0 0 36 53 64 0.75
+23 0 2 0 0 36 54 64 0.899999999999999
+23 0 2 0 0 36 55 64 1.05
+23 0 2 0 0 36 56 64 1.2
+23 0 2 0 0 36 57 64 1.35
+23 0 2 0 0 36 58 64 1.5
+23 0 2 0 0 36 59 64 1.65
+23 0 2 0 0 36 60 64 1.8
+23 0 2 0 0 36 61 64 1.95
+23 0 2 0 0 36 62 64 2.1
+23 0 2 0 0 36 63 64 2.25
+23 0 2 0 0 36 64 64 2.4
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 -1.35
+24 0 2 0 0 36 40 64 -1.2
+24 0 2 0 0 36 41 64 -1.05
+24 0 2 0 0 36 42 64 -0.9
+24 0 2 0 0 36 43 64 -0.75
+24 0 2 0 0 36 44 64 -0.6
+24 0 2 0 0 36 45 64 -0.45
+24 0 2 0 0 36 46 64 -0.3
+24 0 2 0 0 36 47 64 -0.15
+24 0 2 0 0 36 48 64 -4.44089209850063e-16
+24 0 2 0 0 36 49 64 0.15
+24 0 2 0 0 36 50 64 0.3
+24 0 2 0 0 36 51 64 0.45
+24 0 2 0 0 36 52 64 0.6
+24 0 2 0 0 36 53 64 0.75
+24 0 2 0 0 36 54 64 0.899999999999999
+24 0 2 0 0 36 55 64 1.05
+24 0 2 0 0 36 56 64 1.2
+24 0 2 0 0 36 57 64 1.35
+24 0 2 0 0 36 58 64 1.5
+24 0 2 0 0 36 59 64 1.65
+24 0 2 0 0 36 60 64 1.8
+24 0 2 0 0 36 61 64 1.95
+24 0 2 0 0 36 62 64 2.1
+24 0 2 0 0 36 63 64 2.25
+24 0 2 0 0 36 64 64 2.4
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 -3.3
+24 0 1 0 0 36 28 64 -3
+24 0 1 0 0 36 30 64 -2.7
+24 0 1 0 0 36 32 64 -2.4
+24 0 1 0 0 36 34 64 -2.1
+24 0 1 0 0 36 36 64 -1.8
+24 0 1 0 0 36 38 64 -1.5
+24 0 1 0 0 36 40 64 -1.2
+24 0 1 0 0 36 42 64 -0.9
+24 0 1 0 0 36 44 64 -0.6
+24 0 1 0 0 36 46 64 -0.3
+24 0 1 0 0 36 48 64 -4.44089209850063e-16
+24 0 1 0 0 36 50 64 0.3
+24 0 1 0 0 36 52 64 0.6
+24 0 1 0 0 36 54 64 0.899999999999999
+24 0 1 0 0 36 56 64 1.2
+24 0 1 0 0 36 58 64 1.5
+24 0 1 0 0 36 60 64 1.8
+24 0 1 0 0 36 62 64 2.1
+24 0 1 0 0 36 64 64 2.4
+24 0 1 0 0 36 66 64 2.7
+24 0 1 0 0 36 68 64 3
+24 0 1 0 0 36 70 64 3.3
+24 0 1 0 0 36 72 64 3.6
+24 0 1 0 0 36 74 64 3.9
+24 0 1 0 0 36 76 64 4.2
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 -7.2
+24 0 0 0 0 36 4 64 -6.6
+24 0 0 0 0 36 8 64 -6
+24 0 0 0 0 36 12 64 -5.4
+24 0 0 0 0 36 16 64 -4.8
+24 0 0 0 0 36 20 64 -4.2
+24 0 0 0 0 36 24 64 -3.6
+24 0 0 0 0 36 28 64 -3
+24 0 0 0 0 36 32 64 -2.4
+24 0 0 0 0 36 36 64 -1.8
+24 0 0 0 0 36 40 64 -1.2
+24 0 0 0 0 36 44 64 -0.6
+24 0 0 0 0 36 48 64 -4.44089209850063e-16
+24 0 0 0 0 36 52 64 0.6
+24 0 0 0 0 36 56 64 1.2
+24 0 0 0 0 36 60 64 1.8
+24 0 0 0 0 36 64 64 2.4
+24 0 0 0 0 36 68 64 3
+24 0 0 0 0 36 72 64 3.6
+24 0 0 0 0 36 76 64 4.2
+24 0 0 0 0 36 80 64 4.8
+24 0 0 0 0 36 84 64 5.4
+24 0 0 0 0 36 88 64 6
+24 0 0 0 0 36 92 64 6.6
+24 0 0 0 0 36 96 64 7.2
+24 0 0 0 0 36 100 64 7.8
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.zl
new file mode 100644
index 000000000..a9be0a73d
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_y.zl
@@ -0,0 +1,1757 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 -4.44089209850063e-16
+0 0 2 0 0 36 48 52 -4.44089209850063e-16
+0 0 2 0 0 36 48 53 -4.44089209850063e-16
+0 0 2 0 0 36 48 54 -4.44089209850063e-16
+0 0 2 0 0 36 48 55 -4.44089209850063e-16
+0 0 2 0 0 36 48 56 -4.44089209850063e-16
+0 0 2 0 0 36 48 57 -4.44089209850063e-16
+0 0 2 0 0 36 48 58 -4.44089209850063e-16
+0 0 2 0 0 36 48 59 -4.44089209850063e-16
+0 0 2 0 0 36 48 60 -4.44089209850063e-16
+0 0 2 0 0 36 48 61 -4.44089209850063e-16
+0 0 2 0 0 36 48 62 -4.44089209850063e-16
+0 0 2 0 0 36 48 63 -4.44089209850063e-16
+0 0 2 0 0 36 48 64 -4.44089209850063e-16
+0 0 2 0 0 36 48 65 -4.44089209850063e-16
+0 0 2 0 0 36 48 66 -4.44089209850063e-16
+0 0 2 0 0 36 48 67 -4.44089209850063e-16
+0 0 2 0 0 36 48 68 -4.44089209850063e-16
+0 0 2 0 0 36 48 69 -4.44089209850063e-16
+0 0 2 0 0 36 48 70 -4.44089209850063e-16
+0 0 2 0 0 36 48 71 -4.44089209850063e-16
+0 0 2 0 0 36 48 72 -4.44089209850063e-16
+0 0 2 0 0 36 48 73 -4.44089209850063e-16
+0 0 2 0 0 36 48 74 -4.44089209850063e-16
+0 0 2 0 0 36 48 75 -4.44089209850063e-16
+0 0 2 0 0 36 48 76 -4.44089209850063e-16
+0 0 2 0 0 36 48 77 -4.44089209850063e-16
+0 0 2 0 0 36 48 78 -4.44089209850063e-16
+0 0 2 0 0 36 48 79 -4.44089209850063e-16
+0 0 2 0 0 36 48 80 -4.44089209850063e-16
+0 0 2 0 0 36 48 81 -4.44089209850063e-16
+0 0 2 0 0 36 48 82 -4.44089209850063e-16
+0 0 2 0 0 36 48 83 -4.44089209850063e-16
+0 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -4.44089209850063e-16
+0 0 1 0 0 36 48 36 -4.44089209850063e-16
+0 0 1 0 0 36 48 38 -4.44089209850063e-16
+0 0 1 0 0 36 48 40 -4.44089209850063e-16
+0 0 1 0 0 36 48 42 -4.44089209850063e-16
+0 0 1 0 0 36 48 44 -4.44089209850063e-16
+0 0 1 0 0 36 48 46 -4.44089209850063e-16
+0 0 1 0 0 36 48 48 -4.44089209850063e-16
+0 0 1 0 0 36 48 50 -4.44089209850063e-16
+0 0 1 0 0 36 48 52 -4.44089209850063e-16
+0 0 1 0 0 36 48 54 -4.44089209850063e-16
+0 0 1 0 0 36 48 56 -4.44089209850063e-16
+0 0 1 0 0 36 48 58 -4.44089209850063e-16
+0 0 1 0 0 36 48 60 -4.44089209850063e-16
+0 0 1 0 0 36 48 62 -4.44089209850063e-16
+0 0 1 0 0 36 48 64 -4.44089209850063e-16
+0 0 1 0 0 36 48 66 -4.44089209850063e-16
+0 0 1 0 0 36 48 68 -4.44089209850063e-16
+0 0 1 0 0 36 48 70 -4.44089209850063e-16
+0 0 1 0 0 36 48 72 -4.44089209850063e-16
+0 0 1 0 0 36 48 74 -4.44089209850063e-16
+0 0 1 0 0 36 48 76 -4.44089209850063e-16
+0 0 1 0 0 36 48 78 -4.44089209850063e-16
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+0 0 1 0 0 36 48 98 -4.44089209850063e-16
+0 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 -4.44089209850063e-16
+0 0 0 0 0 36 48 4 -4.44089209850063e-16
+0 0 0 0 0 36 48 8 -4.44089209850063e-16
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+0 0 0 0 0 36 48 100 -4.44089209850063e-16
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+0 0 0 0 0 36 48 128 -4.44089209850063e-16
+0 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 -4.44089209850063e-16
+1 0 2 0 0 36 48 52 -4.44089209850063e-16
+1 0 2 0 0 36 48 53 -4.44089209850063e-16
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+1 0 2 0 0 36 48 68 -4.44089209850063e-16
+1 0 2 0 0 36 48 69 -4.44089209850063e-16
+1 0 2 0 0 36 48 70 -4.44089209850063e-16
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+1 0 2 0 0 36 48 72 -4.44089209850063e-16
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+1 0 2 0 0 36 48 74 -4.44089209850063e-16
+1 0 2 0 0 36 48 75 -4.44089209850063e-16
+1 0 2 0 0 36 48 76 -4.44089209850063e-16
+1 0 2 0 0 36 48 77 -4.44089209850063e-16
+1 0 2 0 0 36 48 78 -4.44089209850063e-16
+1 0 2 0 0 36 48 79 -4.44089209850063e-16
+1 0 2 0 0 36 48 80 -4.44089209850063e-16
+1 0 2 0 0 36 48 81 -4.44089209850063e-16
+1 0 2 0 0 36 48 82 -4.44089209850063e-16
+1 0 2 0 0 36 48 83 -4.44089209850063e-16
+1 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 -4.44089209850063e-16
+2 0 2 0 0 36 48 52 -4.44089209850063e-16
+2 0 2 0 0 36 48 53 -4.44089209850063e-16
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+2 0 2 0 0 36 48 67 -4.44089209850063e-16
+2 0 2 0 0 36 48 68 -4.44089209850063e-16
+2 0 2 0 0 36 48 69 -4.44089209850063e-16
+2 0 2 0 0 36 48 70 -4.44089209850063e-16
+2 0 2 0 0 36 48 71 -4.44089209850063e-16
+2 0 2 0 0 36 48 72 -4.44089209850063e-16
+2 0 2 0 0 36 48 73 -4.44089209850063e-16
+2 0 2 0 0 36 48 74 -4.44089209850063e-16
+2 0 2 0 0 36 48 75 -4.44089209850063e-16
+2 0 2 0 0 36 48 76 -4.44089209850063e-16
+2 0 2 0 0 36 48 77 -4.44089209850063e-16
+2 0 2 0 0 36 48 78 -4.44089209850063e-16
+2 0 2 0 0 36 48 79 -4.44089209850063e-16
+2 0 2 0 0 36 48 80 -4.44089209850063e-16
+2 0 2 0 0 36 48 81 -4.44089209850063e-16
+2 0 2 0 0 36 48 82 -4.44089209850063e-16
+2 0 2 0 0 36 48 83 -4.44089209850063e-16
+2 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -4.44089209850063e-16
+2 0 1 0 0 36 48 36 -4.44089209850063e-16
+2 0 1 0 0 36 48 38 -4.44089209850063e-16
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+2 0 1 0 0 36 48 70 -4.44089209850063e-16
+2 0 1 0 0 36 48 72 -4.44089209850063e-16
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+2 0 1 0 0 36 48 80 -4.44089209850063e-16
+2 0 1 0 0 36 48 82 -4.44089209850063e-16
+2 0 1 0 0 36 48 84 -4.44089209850063e-16
+2 0 1 0 0 36 48 86 -4.44089209850063e-16
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+2 0 1 0 0 36 48 90 -4.44089209850063e-16
+2 0 1 0 0 36 48 92 -4.44089209850063e-16
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+2 0 1 0 0 36 48 96 -4.44089209850063e-16
+2 0 1 0 0 36 48 98 -4.44089209850063e-16
+2 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 -4.44089209850063e-16
+3 0 2 0 0 36 48 52 -4.44089209850063e-16
+3 0 2 0 0 36 48 53 -4.44089209850063e-16
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+3 0 2 0 0 36 48 64 -4.44089209850063e-16
+3 0 2 0 0 36 48 65 -4.44089209850063e-16
+3 0 2 0 0 36 48 66 -4.44089209850063e-16
+3 0 2 0 0 36 48 67 -4.44089209850063e-16
+3 0 2 0 0 36 48 68 -4.44089209850063e-16
+3 0 2 0 0 36 48 69 -4.44089209850063e-16
+3 0 2 0 0 36 48 70 -4.44089209850063e-16
+3 0 2 0 0 36 48 71 -4.44089209850063e-16
+3 0 2 0 0 36 48 72 -4.44089209850063e-16
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+3 0 2 0 0 36 48 76 -4.44089209850063e-16
+3 0 2 0 0 36 48 77 -4.44089209850063e-16
+3 0 2 0 0 36 48 78 -4.44089209850063e-16
+3 0 2 0 0 36 48 79 -4.44089209850063e-16
+3 0 2 0 0 36 48 80 -4.44089209850063e-16
+3 0 2 0 0 36 48 81 -4.44089209850063e-16
+3 0 2 0 0 36 48 82 -4.44089209850063e-16
+3 0 2 0 0 36 48 83 -4.44089209850063e-16
+3 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 -4.44089209850063e-16
+4 0 2 0 0 36 48 52 -4.44089209850063e-16
+4 0 2 0 0 36 48 53 -4.44089209850063e-16
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+4 0 2 0 0 36 48 68 -4.44089209850063e-16
+4 0 2 0 0 36 48 69 -4.44089209850063e-16
+4 0 2 0 0 36 48 70 -4.44089209850063e-16
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+4 0 2 0 0 36 48 78 -4.44089209850063e-16
+4 0 2 0 0 36 48 79 -4.44089209850063e-16
+4 0 2 0 0 36 48 80 -4.44089209850063e-16
+4 0 2 0 0 36 48 81 -4.44089209850063e-16
+4 0 2 0 0 36 48 82 -4.44089209850063e-16
+4 0 2 0 0 36 48 83 -4.44089209850063e-16
+4 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -4.44089209850063e-16
+4 0 1 0 0 36 48 36 -4.44089209850063e-16
+4 0 1 0 0 36 48 38 -4.44089209850063e-16
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+4 0 1 0 0 36 48 70 -4.44089209850063e-16
+4 0 1 0 0 36 48 72 -4.44089209850063e-16
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+4 0 1 0 0 36 48 84 -4.44089209850063e-16
+4 0 1 0 0 36 48 86 -4.44089209850063e-16
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+4 0 1 0 0 36 48 90 -4.44089209850063e-16
+4 0 1 0 0 36 48 92 -4.44089209850063e-16
+4 0 1 0 0 36 48 94 -4.44089209850063e-16
+4 0 1 0 0 36 48 96 -4.44089209850063e-16
+4 0 1 0 0 36 48 98 -4.44089209850063e-16
+4 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 -4.44089209850063e-16
+4 0 0 0 0 36 48 4 -4.44089209850063e-16
+4 0 0 0 0 36 48 8 -4.44089209850063e-16
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+4 0 0 0 0 36 48 48 -4.44089209850063e-16
+4 0 0 0 0 36 48 52 -4.44089209850063e-16
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+4 0 0 0 0 36 48 64 -4.44089209850063e-16
+4 0 0 0 0 36 48 68 -4.44089209850063e-16
+4 0 0 0 0 36 48 72 -4.44089209850063e-16
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+4 0 0 0 0 36 48 100 -4.44089209850063e-16
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+4 0 0 0 0 36 48 112 -4.44089209850063e-16
+4 0 0 0 0 36 48 116 -4.44089209850063e-16
+4 0 0 0 0 36 48 120 -4.44089209850063e-16
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+4 0 0 0 0 36 48 128 -4.44089209850063e-16
+4 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 -4.44089209850063e-16
+5 0 2 0 0 36 48 52 -4.44089209850063e-16
+5 0 2 0 0 36 48 53 -4.44089209850063e-16
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+5 0 2 0 0 36 48 66 -4.44089209850063e-16
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+5 0 2 0 0 36 48 69 -4.44089209850063e-16
+5 0 2 0 0 36 48 70 -4.44089209850063e-16
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+5 0 2 0 0 36 48 72 -4.44089209850063e-16
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+5 0 2 0 0 36 48 75 -4.44089209850063e-16
+5 0 2 0 0 36 48 76 -4.44089209850063e-16
+5 0 2 0 0 36 48 77 -4.44089209850063e-16
+5 0 2 0 0 36 48 78 -4.44089209850063e-16
+5 0 2 0 0 36 48 79 -4.44089209850063e-16
+5 0 2 0 0 36 48 80 -4.44089209850063e-16
+5 0 2 0 0 36 48 81 -4.44089209850063e-16
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+5 0 2 0 0 36 48 83 -4.44089209850063e-16
+5 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 -4.44089209850063e-16
+6 0 2 0 0 36 48 52 -4.44089209850063e-16
+6 0 2 0 0 36 48 53 -4.44089209850063e-16
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+6 0 2 0 0 36 48 63 -4.44089209850063e-16
+6 0 2 0 0 36 48 64 -4.44089209850063e-16
+6 0 2 0 0 36 48 65 -4.44089209850063e-16
+6 0 2 0 0 36 48 66 -4.44089209850063e-16
+6 0 2 0 0 36 48 67 -4.44089209850063e-16
+6 0 2 0 0 36 48 68 -4.44089209850063e-16
+6 0 2 0 0 36 48 69 -4.44089209850063e-16
+6 0 2 0 0 36 48 70 -4.44089209850063e-16
+6 0 2 0 0 36 48 71 -4.44089209850063e-16
+6 0 2 0 0 36 48 72 -4.44089209850063e-16
+6 0 2 0 0 36 48 73 -4.44089209850063e-16
+6 0 2 0 0 36 48 74 -4.44089209850063e-16
+6 0 2 0 0 36 48 75 -4.44089209850063e-16
+6 0 2 0 0 36 48 76 -4.44089209850063e-16
+6 0 2 0 0 36 48 77 -4.44089209850063e-16
+6 0 2 0 0 36 48 78 -4.44089209850063e-16
+6 0 2 0 0 36 48 79 -4.44089209850063e-16
+6 0 2 0 0 36 48 80 -4.44089209850063e-16
+6 0 2 0 0 36 48 81 -4.44089209850063e-16
+6 0 2 0 0 36 48 82 -4.44089209850063e-16
+6 0 2 0 0 36 48 83 -4.44089209850063e-16
+6 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -4.44089209850063e-16
+6 0 1 0 0 36 48 36 -4.44089209850063e-16
+6 0 1 0 0 36 48 38 -4.44089209850063e-16
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+6 0 1 0 0 36 48 68 -4.44089209850063e-16
+6 0 1 0 0 36 48 70 -4.44089209850063e-16
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+6 0 1 0 0 36 48 76 -4.44089209850063e-16
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+6 0 1 0 0 36 48 84 -4.44089209850063e-16
+6 0 1 0 0 36 48 86 -4.44089209850063e-16
+6 0 1 0 0 36 48 88 -4.44089209850063e-16
+6 0 1 0 0 36 48 90 -4.44089209850063e-16
+6 0 1 0 0 36 48 92 -4.44089209850063e-16
+6 0 1 0 0 36 48 94 -4.44089209850063e-16
+6 0 1 0 0 36 48 96 -4.44089209850063e-16
+6 0 1 0 0 36 48 98 -4.44089209850063e-16
+6 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 -4.44089209850063e-16
+7 0 2 0 0 36 48 52 -4.44089209850063e-16
+7 0 2 0 0 36 48 53 -4.44089209850063e-16
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+7 0 2 0 0 36 48 66 -4.44089209850063e-16
+7 0 2 0 0 36 48 67 -4.44089209850063e-16
+7 0 2 0 0 36 48 68 -4.44089209850063e-16
+7 0 2 0 0 36 48 69 -4.44089209850063e-16
+7 0 2 0 0 36 48 70 -4.44089209850063e-16
+7 0 2 0 0 36 48 71 -4.44089209850063e-16
+7 0 2 0 0 36 48 72 -4.44089209850063e-16
+7 0 2 0 0 36 48 73 -4.44089209850063e-16
+7 0 2 0 0 36 48 74 -4.44089209850063e-16
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+7 0 2 0 0 36 48 76 -4.44089209850063e-16
+7 0 2 0 0 36 48 77 -4.44089209850063e-16
+7 0 2 0 0 36 48 78 -4.44089209850063e-16
+7 0 2 0 0 36 48 79 -4.44089209850063e-16
+7 0 2 0 0 36 48 80 -4.44089209850063e-16
+7 0 2 0 0 36 48 81 -4.44089209850063e-16
+7 0 2 0 0 36 48 82 -4.44089209850063e-16
+7 0 2 0 0 36 48 83 -4.44089209850063e-16
+7 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 -4.44089209850063e-16
+8 0 2 0 0 36 48 52 -4.44089209850063e-16
+8 0 2 0 0 36 48 53 -4.44089209850063e-16
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+8 0 2 0 0 36 48 65 -4.44089209850063e-16
+8 0 2 0 0 36 48 66 -4.44089209850063e-16
+8 0 2 0 0 36 48 67 -4.44089209850063e-16
+8 0 2 0 0 36 48 68 -4.44089209850063e-16
+8 0 2 0 0 36 48 69 -4.44089209850063e-16
+8 0 2 0 0 36 48 70 -4.44089209850063e-16
+8 0 2 0 0 36 48 71 -4.44089209850063e-16
+8 0 2 0 0 36 48 72 -4.44089209850063e-16
+8 0 2 0 0 36 48 73 -4.44089209850063e-16
+8 0 2 0 0 36 48 74 -4.44089209850063e-16
+8 0 2 0 0 36 48 75 -4.44089209850063e-16
+8 0 2 0 0 36 48 76 -4.44089209850063e-16
+8 0 2 0 0 36 48 77 -4.44089209850063e-16
+8 0 2 0 0 36 48 78 -4.44089209850063e-16
+8 0 2 0 0 36 48 79 -4.44089209850063e-16
+8 0 2 0 0 36 48 80 -4.44089209850063e-16
+8 0 2 0 0 36 48 81 -4.44089209850063e-16
+8 0 2 0 0 36 48 82 -4.44089209850063e-16
+8 0 2 0 0 36 48 83 -4.44089209850063e-16
+8 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -4.44089209850063e-16
+8 0 1 0 0 36 48 36 -4.44089209850063e-16
+8 0 1 0 0 36 48 38 -4.44089209850063e-16
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+8 0 1 0 0 36 48 60 -4.44089209850063e-16
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+8 0 1 0 0 36 48 64 -4.44089209850063e-16
+8 0 1 0 0 36 48 66 -4.44089209850063e-16
+8 0 1 0 0 36 48 68 -4.44089209850063e-16
+8 0 1 0 0 36 48 70 -4.44089209850063e-16
+8 0 1 0 0 36 48 72 -4.44089209850063e-16
+8 0 1 0 0 36 48 74 -4.44089209850063e-16
+8 0 1 0 0 36 48 76 -4.44089209850063e-16
+8 0 1 0 0 36 48 78 -4.44089209850063e-16
+8 0 1 0 0 36 48 80 -4.44089209850063e-16
+8 0 1 0 0 36 48 82 -4.44089209850063e-16
+8 0 1 0 0 36 48 84 -4.44089209850063e-16
+8 0 1 0 0 36 48 86 -4.44089209850063e-16
+8 0 1 0 0 36 48 88 -4.44089209850063e-16
+8 0 1 0 0 36 48 90 -4.44089209850063e-16
+8 0 1 0 0 36 48 92 -4.44089209850063e-16
+8 0 1 0 0 36 48 94 -4.44089209850063e-16
+8 0 1 0 0 36 48 96 -4.44089209850063e-16
+8 0 1 0 0 36 48 98 -4.44089209850063e-16
+8 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 -4.44089209850063e-16
+8 0 0 0 0 36 48 4 -4.44089209850063e-16
+8 0 0 0 0 36 48 8 -4.44089209850063e-16
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+8 0 0 0 0 36 48 52 -4.44089209850063e-16
+8 0 0 0 0 36 48 56 -4.44089209850063e-16
+8 0 0 0 0 36 48 60 -4.44089209850063e-16
+8 0 0 0 0 36 48 64 -4.44089209850063e-16
+8 0 0 0 0 36 48 68 -4.44089209850063e-16
+8 0 0 0 0 36 48 72 -4.44089209850063e-16
+8 0 0 0 0 36 48 76 -4.44089209850063e-16
+8 0 0 0 0 36 48 80 -4.44089209850063e-16
+8 0 0 0 0 36 48 84 -4.44089209850063e-16
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+8 0 0 0 0 36 48 92 -4.44089209850063e-16
+8 0 0 0 0 36 48 96 -4.44089209850063e-16
+8 0 0 0 0 36 48 100 -4.44089209850063e-16
+8 0 0 0 0 36 48 104 -4.44089209850063e-16
+8 0 0 0 0 36 48 108 -4.44089209850063e-16
+8 0 0 0 0 36 48 112 -4.44089209850063e-16
+8 0 0 0 0 36 48 116 -4.44089209850063e-16
+8 0 0 0 0 36 48 120 -4.44089209850063e-16
+8 0 0 0 0 36 48 124 -4.44089209850063e-16
+8 0 0 0 0 36 48 128 -4.44089209850063e-16
+8 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 -4.44089209850063e-16
+9 0 2 0 0 36 48 52 -4.44089209850063e-16
+9 0 2 0 0 36 48 53 -4.44089209850063e-16
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+9 0 2 0 0 36 48 69 -4.44089209850063e-16
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+9 0 2 0 0 36 48 76 -4.44089209850063e-16
+9 0 2 0 0 36 48 77 -4.44089209850063e-16
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+9 0 2 0 0 36 48 79 -4.44089209850063e-16
+9 0 2 0 0 36 48 80 -4.44089209850063e-16
+9 0 2 0 0 36 48 81 -4.44089209850063e-16
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+9 0 2 0 0 36 48 83 -4.44089209850063e-16
+9 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 -4.44089209850063e-16
+10 0 2 0 0 36 48 52 -4.44089209850063e-16
+10 0 2 0 0 36 48 53 -4.44089209850063e-16
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+10 0 2 0 0 36 48 64 -4.44089209850063e-16
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+10 0 2 0 0 36 48 66 -4.44089209850063e-16
+10 0 2 0 0 36 48 67 -4.44089209850063e-16
+10 0 2 0 0 36 48 68 -4.44089209850063e-16
+10 0 2 0 0 36 48 69 -4.44089209850063e-16
+10 0 2 0 0 36 48 70 -4.44089209850063e-16
+10 0 2 0 0 36 48 71 -4.44089209850063e-16
+10 0 2 0 0 36 48 72 -4.44089209850063e-16
+10 0 2 0 0 36 48 73 -4.44089209850063e-16
+10 0 2 0 0 36 48 74 -4.44089209850063e-16
+10 0 2 0 0 36 48 75 -4.44089209850063e-16
+10 0 2 0 0 36 48 76 -4.44089209850063e-16
+10 0 2 0 0 36 48 77 -4.44089209850063e-16
+10 0 2 0 0 36 48 78 -4.44089209850063e-16
+10 0 2 0 0 36 48 79 -4.44089209850063e-16
+10 0 2 0 0 36 48 80 -4.44089209850063e-16
+10 0 2 0 0 36 48 81 -4.44089209850063e-16
+10 0 2 0 0 36 48 82 -4.44089209850063e-16
+10 0 2 0 0 36 48 83 -4.44089209850063e-16
+10 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -4.44089209850063e-16
+10 0 1 0 0 36 48 36 -4.44089209850063e-16
+10 0 1 0 0 36 48 38 -4.44089209850063e-16
+10 0 1 0 0 36 48 40 -4.44089209850063e-16
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+10 0 1 0 0 36 48 44 -4.44089209850063e-16
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+10 0 1 0 0 36 48 50 -4.44089209850063e-16
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+10 0 1 0 0 36 48 54 -4.44089209850063e-16
+10 0 1 0 0 36 48 56 -4.44089209850063e-16
+10 0 1 0 0 36 48 58 -4.44089209850063e-16
+10 0 1 0 0 36 48 60 -4.44089209850063e-16
+10 0 1 0 0 36 48 62 -4.44089209850063e-16
+10 0 1 0 0 36 48 64 -4.44089209850063e-16
+10 0 1 0 0 36 48 66 -4.44089209850063e-16
+10 0 1 0 0 36 48 68 -4.44089209850063e-16
+10 0 1 0 0 36 48 70 -4.44089209850063e-16
+10 0 1 0 0 36 48 72 -4.44089209850063e-16
+10 0 1 0 0 36 48 74 -4.44089209850063e-16
+10 0 1 0 0 36 48 76 -4.44089209850063e-16
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+10 0 1 0 0 36 48 80 -4.44089209850063e-16
+10 0 1 0 0 36 48 82 -4.44089209850063e-16
+10 0 1 0 0 36 48 84 -4.44089209850063e-16
+10 0 1 0 0 36 48 86 -4.44089209850063e-16
+10 0 1 0 0 36 48 88 -4.44089209850063e-16
+10 0 1 0 0 36 48 90 -4.44089209850063e-16
+10 0 1 0 0 36 48 92 -4.44089209850063e-16
+10 0 1 0 0 36 48 94 -4.44089209850063e-16
+10 0 1 0 0 36 48 96 -4.44089209850063e-16
+10 0 1 0 0 36 48 98 -4.44089209850063e-16
+10 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 -4.44089209850063e-16
+11 0 2 0 0 36 48 52 -4.44089209850063e-16
+11 0 2 0 0 36 48 53 -4.44089209850063e-16
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+11 0 2 0 0 36 48 63 -4.44089209850063e-16
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+11 0 2 0 0 36 48 65 -4.44089209850063e-16
+11 0 2 0 0 36 48 66 -4.44089209850063e-16
+11 0 2 0 0 36 48 67 -4.44089209850063e-16
+11 0 2 0 0 36 48 68 -4.44089209850063e-16
+11 0 2 0 0 36 48 69 -4.44089209850063e-16
+11 0 2 0 0 36 48 70 -4.44089209850063e-16
+11 0 2 0 0 36 48 71 -4.44089209850063e-16
+11 0 2 0 0 36 48 72 -4.44089209850063e-16
+11 0 2 0 0 36 48 73 -4.44089209850063e-16
+11 0 2 0 0 36 48 74 -4.44089209850063e-16
+11 0 2 0 0 36 48 75 -4.44089209850063e-16
+11 0 2 0 0 36 48 76 -4.44089209850063e-16
+11 0 2 0 0 36 48 77 -4.44089209850063e-16
+11 0 2 0 0 36 48 78 -4.44089209850063e-16
+11 0 2 0 0 36 48 79 -4.44089209850063e-16
+11 0 2 0 0 36 48 80 -4.44089209850063e-16
+11 0 2 0 0 36 48 81 -4.44089209850063e-16
+11 0 2 0 0 36 48 82 -4.44089209850063e-16
+11 0 2 0 0 36 48 83 -4.44089209850063e-16
+11 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 -4.44089209850063e-16
+12 0 2 0 0 36 48 52 -4.44089209850063e-16
+12 0 2 0 0 36 48 53 -4.44089209850063e-16
+12 0 2 0 0 36 48 54 -4.44089209850063e-16
+12 0 2 0 0 36 48 55 -4.44089209850063e-16
+12 0 2 0 0 36 48 56 -4.44089209850063e-16
+12 0 2 0 0 36 48 57 -4.44089209850063e-16
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+12 0 2 0 0 36 48 59 -4.44089209850063e-16
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+12 0 2 0 0 36 48 81 -4.44089209850063e-16
+12 0 2 0 0 36 48 82 -4.44089209850063e-16
+12 0 2 0 0 36 48 83 -4.44089209850063e-16
+12 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -4.44089209850063e-16
+12 0 1 0 0 36 48 36 -4.44089209850063e-16
+12 0 1 0 0 36 48 38 -4.44089209850063e-16
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+12 0 1 0 0 36 48 84 -4.44089209850063e-16
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+12 0 1 0 0 36 48 90 -4.44089209850063e-16
+12 0 1 0 0 36 48 92 -4.44089209850063e-16
+12 0 1 0 0 36 48 94 -4.44089209850063e-16
+12 0 1 0 0 36 48 96 -4.44089209850063e-16
+12 0 1 0 0 36 48 98 -4.44089209850063e-16
+12 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 -4.44089209850063e-16
+12 0 0 0 0 36 48 4 -4.44089209850063e-16
+12 0 0 0 0 36 48 8 -4.44089209850063e-16
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+12 0 0 0 0 36 48 76 -4.44089209850063e-16
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+12 0 0 0 0 36 48 100 -4.44089209850063e-16
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+12 0 0 0 0 36 48 108 -4.44089209850063e-16
+12 0 0 0 0 36 48 112 -4.44089209850063e-16
+12 0 0 0 0 36 48 116 -4.44089209850063e-16
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+12 0 0 0 0 36 48 124 -4.44089209850063e-16
+12 0 0 0 0 36 48 128 -4.44089209850063e-16
+12 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 -4.44089209850063e-16
+13 0 2 0 0 36 48 52 -4.44089209850063e-16
+13 0 2 0 0 36 48 53 -4.44089209850063e-16
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+13 0 2 0 0 36 48 68 -4.44089209850063e-16
+13 0 2 0 0 36 48 69 -4.44089209850063e-16
+13 0 2 0 0 36 48 70 -4.44089209850063e-16
+13 0 2 0 0 36 48 71 -4.44089209850063e-16
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+13 0 2 0 0 36 48 73 -4.44089209850063e-16
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+13 0 2 0 0 36 48 76 -4.44089209850063e-16
+13 0 2 0 0 36 48 77 -4.44089209850063e-16
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+13 0 2 0 0 36 48 79 -4.44089209850063e-16
+13 0 2 0 0 36 48 80 -4.44089209850063e-16
+13 0 2 0 0 36 48 81 -4.44089209850063e-16
+13 0 2 0 0 36 48 82 -4.44089209850063e-16
+13 0 2 0 0 36 48 83 -4.44089209850063e-16
+13 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 -4.44089209850063e-16
+14 0 2 0 0 36 48 52 -4.44089209850063e-16
+14 0 2 0 0 36 48 53 -4.44089209850063e-16
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+14 0 2 0 0 36 48 68 -4.44089209850063e-16
+14 0 2 0 0 36 48 69 -4.44089209850063e-16
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+14 0 2 0 0 36 48 71 -4.44089209850063e-16
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+14 0 2 0 0 36 48 77 -4.44089209850063e-16
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+14 0 2 0 0 36 48 79 -4.44089209850063e-16
+14 0 2 0 0 36 48 80 -4.44089209850063e-16
+14 0 2 0 0 36 48 81 -4.44089209850063e-16
+14 0 2 0 0 36 48 82 -4.44089209850063e-16
+14 0 2 0 0 36 48 83 -4.44089209850063e-16
+14 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 -4.44089209850063e-16
+14 0 1 0 0 36 48 36 -4.44089209850063e-16
+14 0 1 0 0 36 48 38 -4.44089209850063e-16
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+14 0 1 0 0 36 48 68 -4.44089209850063e-16
+14 0 1 0 0 36 48 70 -4.44089209850063e-16
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+14 0 1 0 0 36 48 84 -4.44089209850063e-16
+14 0 1 0 0 36 48 86 -4.44089209850063e-16
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+14 0 1 0 0 36 48 90 -4.44089209850063e-16
+14 0 1 0 0 36 48 92 -4.44089209850063e-16
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+14 0 1 0 0 36 48 96 -4.44089209850063e-16
+14 0 1 0 0 36 48 98 -4.44089209850063e-16
+14 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 -4.44089209850063e-16
+15 0 2 0 0 36 48 52 -4.44089209850063e-16
+15 0 2 0 0 36 48 53 -4.44089209850063e-16
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+15 0 2 0 0 36 48 79 -4.44089209850063e-16
+15 0 2 0 0 36 48 80 -4.44089209850063e-16
+15 0 2 0 0 36 48 81 -4.44089209850063e-16
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+15 0 2 0 0 36 48 83 -4.44089209850063e-16
+15 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 -4.44089209850063e-16
+16 0 2 0 0 36 48 52 -4.44089209850063e-16
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+16 0 2 0 0 36 48 69 -4.44089209850063e-16
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+16 0 2 0 0 36 48 76 -4.44089209850063e-16
+16 0 2 0 0 36 48 77 -4.44089209850063e-16
+16 0 2 0 0 36 48 78 -4.44089209850063e-16
+16 0 2 0 0 36 48 79 -4.44089209850063e-16
+16 0 2 0 0 36 48 80 -4.44089209850063e-16
+16 0 2 0 0 36 48 81 -4.44089209850063e-16
+16 0 2 0 0 36 48 82 -4.44089209850063e-16
+16 0 2 0 0 36 48 83 -4.44089209850063e-16
+16 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 -4.44089209850063e-16
+16 0 1 0 0 36 48 36 -4.44089209850063e-16
+16 0 1 0 0 36 48 38 -4.44089209850063e-16
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+16 0 1 0 0 36 48 84 -4.44089209850063e-16
+16 0 1 0 0 36 48 86 -4.44089209850063e-16
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+16 0 1 0 0 36 48 90 -4.44089209850063e-16
+16 0 1 0 0 36 48 92 -4.44089209850063e-16
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+16 0 1 0 0 36 48 96 -4.44089209850063e-16
+16 0 1 0 0 36 48 98 -4.44089209850063e-16
+16 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 -4.44089209850063e-16
+16 0 0 0 0 36 48 4 -4.44089209850063e-16
+16 0 0 0 0 36 48 8 -4.44089209850063e-16
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+16 0 0 0 0 36 48 72 -4.44089209850063e-16
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+16 0 0 0 0 36 48 96 -4.44089209850063e-16
+16 0 0 0 0 36 48 100 -4.44089209850063e-16
+16 0 0 0 0 36 48 104 -4.44089209850063e-16
+16 0 0 0 0 36 48 108 -4.44089209850063e-16
+16 0 0 0 0 36 48 112 -4.44089209850063e-16
+16 0 0 0 0 36 48 116 -4.44089209850063e-16
+16 0 0 0 0 36 48 120 -4.44089209850063e-16
+16 0 0 0 0 36 48 124 -4.44089209850063e-16
+16 0 0 0 0 36 48 128 -4.44089209850063e-16
+16 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 -4.44089209850063e-16
+17 0 2 0 0 36 48 52 -4.44089209850063e-16
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+17 0 2 0 0 36 48 83 -4.44089209850063e-16
+17 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 -4.44089209850063e-16
+18 0 2 0 0 36 48 52 -4.44089209850063e-16
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+18 0 2 0 0 36 48 83 -4.44089209850063e-16
+18 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 -4.44089209850063e-16
+18 0 1 0 0 36 48 36 -4.44089209850063e-16
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+18 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 -4.44089209850063e-16
+19 0 2 0 0 36 48 52 -4.44089209850063e-16
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+19 0 2 0 0 36 48 83 -4.44089209850063e-16
+19 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 -4.44089209850063e-16
+20 0 2 0 0 36 48 52 -4.44089209850063e-16
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+20 0 2 0 0 36 48 83 -4.44089209850063e-16
+20 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 -4.44089209850063e-16
+20 0 1 0 0 36 48 36 -4.44089209850063e-16
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+20 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 -4.44089209850063e-16
+20 0 0 0 0 36 48 4 -4.44089209850063e-16
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+20 0 0 0 0 36 48 128 -4.44089209850063e-16
+20 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 -4.44089209850063e-16
+21 0 2 0 0 36 48 52 -4.44089209850063e-16
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+21 0 2 0 0 36 48 83 -4.44089209850063e-16
+21 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 -4.44089209850063e-16
+22 0 2 0 0 36 48 52 -4.44089209850063e-16
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+22 0 2 0 0 36 48 83 -4.44089209850063e-16
+22 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 -4.44089209850063e-16
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+22 0 1 0 0 36 48 92 -4.44089209850063e-16
+22 0 1 0 0 36 48 94 -4.44089209850063e-16
+22 0 1 0 0 36 48 96 -4.44089209850063e-16
+22 0 1 0 0 36 48 98 -4.44089209850063e-16
+22 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 -4.44089209850063e-16
+23 0 2 0 0 36 48 52 -4.44089209850063e-16
+23 0 2 0 0 36 48 53 -4.44089209850063e-16
+23 0 2 0 0 36 48 54 -4.44089209850063e-16
+23 0 2 0 0 36 48 55 -4.44089209850063e-16
+23 0 2 0 0 36 48 56 -4.44089209850063e-16
+23 0 2 0 0 36 48 57 -4.44089209850063e-16
+23 0 2 0 0 36 48 58 -4.44089209850063e-16
+23 0 2 0 0 36 48 59 -4.44089209850063e-16
+23 0 2 0 0 36 48 60 -4.44089209850063e-16
+23 0 2 0 0 36 48 61 -4.44089209850063e-16
+23 0 2 0 0 36 48 62 -4.44089209850063e-16
+23 0 2 0 0 36 48 63 -4.44089209850063e-16
+23 0 2 0 0 36 48 64 -4.44089209850063e-16
+23 0 2 0 0 36 48 65 -4.44089209850063e-16
+23 0 2 0 0 36 48 66 -4.44089209850063e-16
+23 0 2 0 0 36 48 67 -4.44089209850063e-16
+23 0 2 0 0 36 48 68 -4.44089209850063e-16
+23 0 2 0 0 36 48 69 -4.44089209850063e-16
+23 0 2 0 0 36 48 70 -4.44089209850063e-16
+23 0 2 0 0 36 48 71 -4.44089209850063e-16
+23 0 2 0 0 36 48 72 -4.44089209850063e-16
+23 0 2 0 0 36 48 73 -4.44089209850063e-16
+23 0 2 0 0 36 48 74 -4.44089209850063e-16
+23 0 2 0 0 36 48 75 -4.44089209850063e-16
+23 0 2 0 0 36 48 76 -4.44089209850063e-16
+23 0 2 0 0 36 48 77 -4.44089209850063e-16
+23 0 2 0 0 36 48 78 -4.44089209850063e-16
+23 0 2 0 0 36 48 79 -4.44089209850063e-16
+23 0 2 0 0 36 48 80 -4.44089209850063e-16
+23 0 2 0 0 36 48 81 -4.44089209850063e-16
+23 0 2 0 0 36 48 82 -4.44089209850063e-16
+23 0 2 0 0 36 48 83 -4.44089209850063e-16
+23 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 -4.44089209850063e-16
+24 0 2 0 0 36 48 52 -4.44089209850063e-16
+24 0 2 0 0 36 48 53 -4.44089209850063e-16
+24 0 2 0 0 36 48 54 -4.44089209850063e-16
+24 0 2 0 0 36 48 55 -4.44089209850063e-16
+24 0 2 0 0 36 48 56 -4.44089209850063e-16
+24 0 2 0 0 36 48 57 -4.44089209850063e-16
+24 0 2 0 0 36 48 58 -4.44089209850063e-16
+24 0 2 0 0 36 48 59 -4.44089209850063e-16
+24 0 2 0 0 36 48 60 -4.44089209850063e-16
+24 0 2 0 0 36 48 61 -4.44089209850063e-16
+24 0 2 0 0 36 48 62 -4.44089209850063e-16
+24 0 2 0 0 36 48 63 -4.44089209850063e-16
+24 0 2 0 0 36 48 64 -4.44089209850063e-16
+24 0 2 0 0 36 48 65 -4.44089209850063e-16
+24 0 2 0 0 36 48 66 -4.44089209850063e-16
+24 0 2 0 0 36 48 67 -4.44089209850063e-16
+24 0 2 0 0 36 48 68 -4.44089209850063e-16
+24 0 2 0 0 36 48 69 -4.44089209850063e-16
+24 0 2 0 0 36 48 70 -4.44089209850063e-16
+24 0 2 0 0 36 48 71 -4.44089209850063e-16
+24 0 2 0 0 36 48 72 -4.44089209850063e-16
+24 0 2 0 0 36 48 73 -4.44089209850063e-16
+24 0 2 0 0 36 48 74 -4.44089209850063e-16
+24 0 2 0 0 36 48 75 -4.44089209850063e-16
+24 0 2 0 0 36 48 76 -4.44089209850063e-16
+24 0 2 0 0 36 48 77 -4.44089209850063e-16
+24 0 2 0 0 36 48 78 -4.44089209850063e-16
+24 0 2 0 0 36 48 79 -4.44089209850063e-16
+24 0 2 0 0 36 48 80 -4.44089209850063e-16
+24 0 2 0 0 36 48 81 -4.44089209850063e-16
+24 0 2 0 0 36 48 82 -4.44089209850063e-16
+24 0 2 0 0 36 48 83 -4.44089209850063e-16
+24 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 -4.44089209850063e-16
+24 0 1 0 0 36 48 36 -4.44089209850063e-16
+24 0 1 0 0 36 48 38 -4.44089209850063e-16
+24 0 1 0 0 36 48 40 -4.44089209850063e-16
+24 0 1 0 0 36 48 42 -4.44089209850063e-16
+24 0 1 0 0 36 48 44 -4.44089209850063e-16
+24 0 1 0 0 36 48 46 -4.44089209850063e-16
+24 0 1 0 0 36 48 48 -4.44089209850063e-16
+24 0 1 0 0 36 48 50 -4.44089209850063e-16
+24 0 1 0 0 36 48 52 -4.44089209850063e-16
+24 0 1 0 0 36 48 54 -4.44089209850063e-16
+24 0 1 0 0 36 48 56 -4.44089209850063e-16
+24 0 1 0 0 36 48 58 -4.44089209850063e-16
+24 0 1 0 0 36 48 60 -4.44089209850063e-16
+24 0 1 0 0 36 48 62 -4.44089209850063e-16
+24 0 1 0 0 36 48 64 -4.44089209850063e-16
+24 0 1 0 0 36 48 66 -4.44089209850063e-16
+24 0 1 0 0 36 48 68 -4.44089209850063e-16
+24 0 1 0 0 36 48 70 -4.44089209850063e-16
+24 0 1 0 0 36 48 72 -4.44089209850063e-16
+24 0 1 0 0 36 48 74 -4.44089209850063e-16
+24 0 1 0 0 36 48 76 -4.44089209850063e-16
+24 0 1 0 0 36 48 78 -4.44089209850063e-16
+24 0 1 0 0 36 48 80 -4.44089209850063e-16
+24 0 1 0 0 36 48 82 -4.44089209850063e-16
+24 0 1 0 0 36 48 84 -4.44089209850063e-16
+24 0 1 0 0 36 48 86 -4.44089209850063e-16
+24 0 1 0 0 36 48 88 -4.44089209850063e-16
+24 0 1 0 0 36 48 90 -4.44089209850063e-16
+24 0 1 0 0 36 48 92 -4.44089209850063e-16
+24 0 1 0 0 36 48 94 -4.44089209850063e-16
+24 0 1 0 0 36 48 96 -4.44089209850063e-16
+24 0 1 0 0 36 48 98 -4.44089209850063e-16
+24 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 -4.44089209850063e-16
+24 0 0 0 0 36 48 4 -4.44089209850063e-16
+24 0 0 0 0 36 48 8 -4.44089209850063e-16
+24 0 0 0 0 36 48 12 -4.44089209850063e-16
+24 0 0 0 0 36 48 16 -4.44089209850063e-16
+24 0 0 0 0 36 48 20 -4.44089209850063e-16
+24 0 0 0 0 36 48 24 -4.44089209850063e-16
+24 0 0 0 0 36 48 28 -4.44089209850063e-16
+24 0 0 0 0 36 48 32 -4.44089209850063e-16
+24 0 0 0 0 36 48 36 -4.44089209850063e-16
+24 0 0 0 0 36 48 40 -4.44089209850063e-16
+24 0 0 0 0 36 48 44 -4.44089209850063e-16
+24 0 0 0 0 36 48 48 -4.44089209850063e-16
+24 0 0 0 0 36 48 52 -4.44089209850063e-16
+24 0 0 0 0 36 48 56 -4.44089209850063e-16
+24 0 0 0 0 36 48 60 -4.44089209850063e-16
+24 0 0 0 0 36 48 64 -4.44089209850063e-16
+24 0 0 0 0 36 48 68 -4.44089209850063e-16
+24 0 0 0 0 36 48 72 -4.44089209850063e-16
+24 0 0 0 0 36 48 76 -4.44089209850063e-16
+24 0 0 0 0 36 48 80 -4.44089209850063e-16
+24 0 0 0 0 36 48 84 -4.44089209850063e-16
+24 0 0 0 0 36 48 88 -4.44089209850063e-16
+24 0 0 0 0 36 48 92 -4.44089209850063e-16
+24 0 0 0 0 36 48 96 -4.44089209850063e-16
+24 0 0 0 0 36 48 100 -4.44089209850063e-16
+24 0 0 0 0 36 48 104 -4.44089209850063e-16
+24 0 0 0 0 36 48 108 -4.44089209850063e-16
+24 0 0 0 0 36 48 112 -4.44089209850063e-16
+24 0 0 0 0 36 48 116 -4.44089209850063e-16
+24 0 0 0 0 36 48 120 -4.44089209850063e-16
+24 0 0 0 0 36 48 124 -4.44089209850063e-16
+24 0 0 0 0 36 48 128 -4.44089209850063e-16
+24 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.xl
new file mode 100644
index 000000000..53b7b5e1e
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.xl
@@ -0,0 +1,1082 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0
+0 0 2 0 0 28 48 64 0
+0 0 2 0 0 29 48 64 0
+0 0 2 0 0 30 48 64 0
+0 0 2 0 0 31 48 64 0
+0 0 2 0 0 32 48 64 0
+0 0 2 0 0 33 48 64 0
+0 0 2 0 0 34 48 64 0
+0 0 2 0 0 35 48 64 0
+0 0 2 0 0 36 48 64 0
+0 0 2 0 0 37 48 64 0
+0 0 2 0 0 38 48 64 0
+0 0 2 0 0 39 48 64 0
+0 0 2 0 0 40 48 64 0
+0 0 2 0 0 41 48 64 0
+0 0 2 0 0 42 48 64 0
+0 0 2 0 0 43 48 64 0
+0 0 2 0 0 44 48 64 0
+0 0 2 0 0 45 48 64 0
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 0
+0 0 1 0 0 20 48 64 0
+0 0 1 0 0 22 48 64 0
+0 0 1 0 0 24 48 64 0
+0 0 1 0 0 26 48 64 0
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+0 0 1 0 0 48 48 64 0
+0 0 1 0 0 50 48 64 0
+0 0 1 0 0 52 48 64 0
+0 0 1 0 0 54 48 64 0
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 0
+0 0 0 0 0 4 48 64 0
+0 0 0 0 0 8 48 64 0
+0 0 0 0 0 12 48 64 0
+0 0 0 0 0 16 48 64 0
+0 0 0 0 0 20 48 64 0
+0 0 0 0 0 24 48 64 0
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+0 0 0 0 0 60 48 64 0
+0 0 0 0 0 64 48 64 0
+0 0 0 0 0 68 48 64 0
+0 0 0 0 0 72 48 64 0
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0
+1 0 2 0 0 28 48 64 0
+1 0 2 0 0 29 48 64 0
+1 0 2 0 0 30 48 64 0
+1 0 2 0 0 31 48 64 0
+1 0 2 0 0 32 48 64 0
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+1 0 2 0 0 42 48 64 0
+1 0 2 0 0 43 48 64 0
+1 0 2 0 0 44 48 64 0
+1 0 2 0 0 45 48 64 0
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0
+2 0 2 0 0 28 48 64 0
+2 0 2 0 0 29 48 64 0
+2 0 2 0 0 30 48 64 0
+2 0 2 0 0 31 48 64 0
+2 0 2 0 0 32 48 64 0
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+2 0 2 0 0 37 48 64 0
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+2 0 2 0 0 39 48 64 0
+2 0 2 0 0 40 48 64 0
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+2 0 2 0 0 42 48 64 0
+2 0 2 0 0 43 48 64 0
+2 0 2 0 0 44 48 64 0
+2 0 2 0 0 45 48 64 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 0
+2 0 1 0 0 20 48 64 0
+2 0 1 0 0 22 48 64 0
+2 0 1 0 0 24 48 64 0
+2 0 1 0 0 26 48 64 0
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+2 0 1 0 0 48 48 64 0
+2 0 1 0 0 50 48 64 0
+2 0 1 0 0 52 48 64 0
+2 0 1 0 0 54 48 64 0
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0
+3 0 2 0 0 28 48 64 0
+3 0 2 0 0 29 48 64 0
+3 0 2 0 0 30 48 64 0
+3 0 2 0 0 31 48 64 0
+3 0 2 0 0 32 48 64 0
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+3 0 2 0 0 42 48 64 0
+3 0 2 0 0 43 48 64 0
+3 0 2 0 0 44 48 64 0
+3 0 2 0 0 45 48 64 0
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0
+4 0 2 0 0 28 48 64 0
+4 0 2 0 0 29 48 64 0
+4 0 2 0 0 30 48 64 0
+4 0 2 0 0 31 48 64 0
+4 0 2 0 0 32 48 64 0
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+4 0 2 0 0 42 48 64 0
+4 0 2 0 0 43 48 64 0
+4 0 2 0 0 44 48 64 0
+4 0 2 0 0 45 48 64 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 0
+4 0 1 0 0 20 48 64 0
+4 0 1 0 0 22 48 64 0
+4 0 1 0 0 24 48 64 0
+4 0 1 0 0 26 48 64 0
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+4 0 1 0 0 48 48 64 0
+4 0 1 0 0 50 48 64 0
+4 0 1 0 0 52 48 64 0
+4 0 1 0 0 54 48 64 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 0
+4 0 0 0 0 4 48 64 0
+4 0 0 0 0 8 48 64 0
+4 0 0 0 0 12 48 64 0
+4 0 0 0 0 16 48 64 0
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+4 0 0 0 0 60 48 64 0
+4 0 0 0 0 64 48 64 0
+4 0 0 0 0 68 48 64 0
+4 0 0 0 0 72 48 64 0
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0
+5 0 2 0 0 28 48 64 0
+5 0 2 0 0 29 48 64 0
+5 0 2 0 0 30 48 64 0
+5 0 2 0 0 31 48 64 0
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+5 0 2 0 0 43 48 64 0
+5 0 2 0 0 44 48 64 0
+5 0 2 0 0 45 48 64 0
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0
+6 0 2 0 0 28 48 64 0
+6 0 2 0 0 29 48 64 0
+6 0 2 0 0 30 48 64 0
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+6 0 2 0 0 43 48 64 0
+6 0 2 0 0 44 48 64 0
+6 0 2 0 0 45 48 64 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0
+6 0 1 0 0 20 48 64 0
+6 0 1 0 0 22 48 64 0
+6 0 1 0 0 24 48 64 0
+6 0 1 0 0 26 48 64 0
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+6 0 1 0 0 50 48 64 0
+6 0 1 0 0 52 48 64 0
+6 0 1 0 0 54 48 64 0
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0
+7 0 2 0 0 28 48 64 0
+7 0 2 0 0 29 48 64 0
+7 0 2 0 0 30 48 64 0
+7 0 2 0 0 31 48 64 0
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+7 0 2 0 0 43 48 64 0
+7 0 2 0 0 44 48 64 0
+7 0 2 0 0 45 48 64 0
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0
+8 0 2 0 0 28 48 64 0
+8 0 2 0 0 29 48 64 0
+8 0 2 0 0 30 48 64 0
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+8 0 2 0 0 43 48 64 0
+8 0 2 0 0 44 48 64 0
+8 0 2 0 0 45 48 64 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0
+8 0 1 0 0 20 48 64 0
+8 0 1 0 0 22 48 64 0
+8 0 1 0 0 24 48 64 0
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+8 0 1 0 0 50 48 64 0
+8 0 1 0 0 52 48 64 0
+8 0 1 0 0 54 48 64 0
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 0
+8 0 0 0 0 4 48 64 0
+8 0 0 0 0 8 48 64 0
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+8 0 0 0 0 68 48 64 0
+8 0 0 0 0 72 48 64 0
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0
+9 0 2 0 0 28 48 64 0
+9 0 2 0 0 29 48 64 0
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+9 0 2 0 0 45 48 64 0
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0
+10 0 2 0 0 28 48 64 0
+10 0 2 0 0 29 48 64 0
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+10 0 2 0 0 44 48 64 0
+10 0 2 0 0 45 48 64 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0
+10 0 1 0 0 20 48 64 0
+10 0 1 0 0 22 48 64 0
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+10 0 1 0 0 54 48 64 0
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 0
+11 0 2 0 0 28 48 64 0
+11 0 2 0 0 29 48 64 0
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+11 0 2 0 0 44 48 64 0
+11 0 2 0 0 45 48 64 0
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 0
+12 0 2 0 0 28 48 64 0
+12 0 2 0 0 29 48 64 0
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+12 0 2 0 0 43 48 64 0
+12 0 2 0 0 44 48 64 0
+12 0 2 0 0 45 48 64 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0
+12 0 1 0 0 20 48 64 0
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+12 0 1 0 0 50 48 64 0
+12 0 1 0 0 52 48 64 0
+12 0 1 0 0 54 48 64 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 0
+12 0 0 0 0 4 48 64 0
+12 0 0 0 0 8 48 64 0
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+12 0 0 0 0 64 48 64 0
+12 0 0 0 0 68 48 64 0
+12 0 0 0 0 72 48 64 0
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 0
+13 0 2 0 0 28 48 64 0
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+13 0 2 0 0 45 48 64 0
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 0
+14 0 2 0 0 28 48 64 0
+14 0 2 0 0 29 48 64 0
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+14 0 2 0 0 44 48 64 0
+14 0 2 0 0 45 48 64 0
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0
+14 0 1 0 0 20 48 64 0
+14 0 1 0 0 22 48 64 0
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+14 0 1 0 0 54 48 64 0
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 0
+15 0 2 0 0 28 48 64 0
+15 0 2 0 0 29 48 64 0
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+15 0 2 0 0 43 48 64 0
+15 0 2 0 0 44 48 64 0
+15 0 2 0 0 45 48 64 0
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 0
+16 0 2 0 0 28 48 64 0
+16 0 2 0 0 29 48 64 0
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+16 0 2 0 0 43 48 64 0
+16 0 2 0 0 44 48 64 0
+16 0 2 0 0 45 48 64 0
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0
+16 0 1 0 0 20 48 64 0
+16 0 1 0 0 22 48 64 0
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+16 0 1 0 0 50 48 64 0
+16 0 1 0 0 52 48 64 0
+16 0 1 0 0 54 48 64 0
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 0
+16 0 0 0 0 4 48 64 0
+16 0 0 0 0 8 48 64 0
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+16 0 0 0 0 64 48 64 0
+16 0 0 0 0 68 48 64 0
+16 0 0 0 0 72 48 64 0
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 0
+17 0 2 0 0 28 48 64 0
+17 0 2 0 0 29 48 64 0
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+17 0 2 0 0 43 48 64 0
+17 0 2 0 0 44 48 64 0
+17 0 2 0 0 45 48 64 0
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 0
+18 0 2 0 0 28 48 64 0
+18 0 2 0 0 29 48 64 0
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+18 0 2 0 0 44 48 64 0
+18 0 2 0 0 45 48 64 0
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0
+18 0 1 0 0 20 48 64 0
+18 0 1 0 0 22 48 64 0
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+18 0 1 0 0 52 48 64 0
+18 0 1 0 0 54 48 64 0
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 0
+19 0 2 0 0 28 48 64 0
+19 0 2 0 0 29 48 64 0
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+19 0 2 0 0 43 48 64 0
+19 0 2 0 0 44 48 64 0
+19 0 2 0 0 45 48 64 0
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 0
+20 0 2 0 0 28 48 64 0
+20 0 2 0 0 29 48 64 0
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+20 0 2 0 0 43 48 64 0
+20 0 2 0 0 44 48 64 0
+20 0 2 0 0 45 48 64 0
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0
+20 0 1 0 0 20 48 64 0
+20 0 1 0 0 22 48 64 0
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+20 0 1 0 0 50 48 64 0
+20 0 1 0 0 52 48 64 0
+20 0 1 0 0 54 48 64 0
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 0
+20 0 0 0 0 4 48 64 0
+20 0 0 0 0 8 48 64 0
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+20 0 0 0 0 60 48 64 0
+20 0 0 0 0 64 48 64 0
+20 0 0 0 0 68 48 64 0
+20 0 0 0 0 72 48 64 0
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 0
+21 0 2 0 0 28 48 64 0
+21 0 2 0 0 29 48 64 0
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+21 0 2 0 0 43 48 64 0
+21 0 2 0 0 44 48 64 0
+21 0 2 0 0 45 48 64 0
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 0
+22 0 2 0 0 28 48 64 0
+22 0 2 0 0 29 48 64 0
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+22 0 2 0 0 42 48 64 0
+22 0 2 0 0 43 48 64 0
+22 0 2 0 0 44 48 64 0
+22 0 2 0 0 45 48 64 0
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 0
+22 0 1 0 0 20 48 64 0
+22 0 1 0 0 22 48 64 0
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+22 0 1 0 0 48 48 64 0
+22 0 1 0 0 50 48 64 0
+22 0 1 0 0 52 48 64 0
+22 0 1 0 0 54 48 64 0
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 0
+23 0 2 0 0 28 48 64 0
+23 0 2 0 0 29 48 64 0
+23 0 2 0 0 30 48 64 0
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+23 0 2 0 0 42 48 64 0
+23 0 2 0 0 43 48 64 0
+23 0 2 0 0 44 48 64 0
+23 0 2 0 0 45 48 64 0
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 0
+24 0 2 0 0 28 48 64 0
+24 0 2 0 0 29 48 64 0
+24 0 2 0 0 30 48 64 0
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+24 0 2 0 0 42 48 64 0
+24 0 2 0 0 43 48 64 0
+24 0 2 0 0 44 48 64 0
+24 0 2 0 0 45 48 64 0
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 0
+24 0 1 0 0 20 48 64 0
+24 0 1 0 0 22 48 64 0
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+24 0 1 0 0 48 48 64 0
+24 0 1 0 0 50 48 64 0
+24 0 1 0 0 52 48 64 0
+24 0 1 0 0 54 48 64 0
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 0
+24 0 0 0 0 4 48 64 0
+24 0 0 0 0 8 48 64 0
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+24 0 0 0 0 60 48 64 0
+24 0 0 0 0 64 48 64 0
+24 0 0 0 0 68 48 64 0
+24 0 0 0 0 72 48 64 0
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.yl
new file mode 100644
index 000000000..436f68412
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.yl
@@ -0,0 +1,1397 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0
+0 0 2 0 0 36 40 64 0
+0 0 2 0 0 36 41 64 0
+0 0 2 0 0 36 42 64 0
+0 0 2 0 0 36 43 64 0
+0 0 2 0 0 36 44 64 0
+0 0 2 0 0 36 45 64 0
+0 0 2 0 0 36 46 64 0
+0 0 2 0 0 36 47 64 0
+0 0 2 0 0 36 48 64 0
+0 0 2 0 0 36 49 64 0
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+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0
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+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0
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+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0
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+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0
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+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0
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+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0
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+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 0
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+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 0
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+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0
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+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 0
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+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 0
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+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 0
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+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0
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+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 0
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+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 0
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+12 0 2 0 0 36 64 64 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0
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+12 0 1 0 0 36 76 64 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 0
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+12 0 0 0 0 36 20 64 0
+12 0 0 0 0 36 24 64 0
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+12 0 0 0 0 36 88 64 0
+12 0 0 0 0 36 92 64 0
+12 0 0 0 0 36 96 64 0
+12 0 0 0 0 36 100 64 0
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 0
+13 0 2 0 0 36 40 64 0
+13 0 2 0 0 36 41 64 0
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+13 0 2 0 0 36 61 64 0
+13 0 2 0 0 36 62 64 0
+13 0 2 0 0 36 63 64 0
+13 0 2 0 0 36 64 64 0
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 0
+14 0 2 0 0 36 40 64 0
+14 0 2 0 0 36 41 64 0
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+14 0 2 0 0 36 61 64 0
+14 0 2 0 0 36 62 64 0
+14 0 2 0 0 36 63 64 0
+14 0 2 0 0 36 64 64 0
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0
+14 0 1 0 0 36 28 64 0
+14 0 1 0 0 36 30 64 0
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+14 0 1 0 0 36 72 64 0
+14 0 1 0 0 36 74 64 0
+14 0 1 0 0 36 76 64 0
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 0
+15 0 2 0 0 36 40 64 0
+15 0 2 0 0 36 41 64 0
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+15 0 2 0 0 36 62 64 0
+15 0 2 0 0 36 63 64 0
+15 0 2 0 0 36 64 64 0
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 0
+16 0 2 0 0 36 40 64 0
+16 0 2 0 0 36 41 64 0
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+16 0 2 0 0 36 61 64 0
+16 0 2 0 0 36 62 64 0
+16 0 2 0 0 36 63 64 0
+16 0 2 0 0 36 64 64 0
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0
+16 0 1 0 0 36 28 64 0
+16 0 1 0 0 36 30 64 0
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+16 0 1 0 0 36 70 64 0
+16 0 1 0 0 36 72 64 0
+16 0 1 0 0 36 74 64 0
+16 0 1 0 0 36 76 64 0
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 0
+16 0 0 0 0 36 4 64 0
+16 0 0 0 0 36 8 64 0
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+16 0 0 0 0 36 88 64 0
+16 0 0 0 0 36 92 64 0
+16 0 0 0 0 36 96 64 0
+16 0 0 0 0 36 100 64 0
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 0
+17 0 2 0 0 36 40 64 0
+17 0 2 0 0 36 41 64 0
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+17 0 2 0 0 36 61 64 0
+17 0 2 0 0 36 62 64 0
+17 0 2 0 0 36 63 64 0
+17 0 2 0 0 36 64 64 0
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 0
+18 0 2 0 0 36 40 64 0
+18 0 2 0 0 36 41 64 0
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+18 0 2 0 0 36 61 64 0
+18 0 2 0 0 36 62 64 0
+18 0 2 0 0 36 63 64 0
+18 0 2 0 0 36 64 64 0
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 0
+18 0 1 0 0 36 28 64 0
+18 0 1 0 0 36 30 64 0
+18 0 1 0 0 36 32 64 0
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+18 0 1 0 0 36 70 64 0
+18 0 1 0 0 36 72 64 0
+18 0 1 0 0 36 74 64 0
+18 0 1 0 0 36 76 64 0
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 0
+19 0 2 0 0 36 40 64 0
+19 0 2 0 0 36 41 64 0
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+19 0 2 0 0 36 61 64 0
+19 0 2 0 0 36 62 64 0
+19 0 2 0 0 36 63 64 0
+19 0 2 0 0 36 64 64 0
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 0
+20 0 2 0 0 36 40 64 0
+20 0 2 0 0 36 41 64 0
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+20 0 2 0 0 36 61 64 0
+20 0 2 0 0 36 62 64 0
+20 0 2 0 0 36 63 64 0
+20 0 2 0 0 36 64 64 0
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 0
+20 0 1 0 0 36 28 64 0
+20 0 1 0 0 36 30 64 0
+20 0 1 0 0 36 32 64 0
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+20 0 1 0 0 36 70 64 0
+20 0 1 0 0 36 72 64 0
+20 0 1 0 0 36 74 64 0
+20 0 1 0 0 36 76 64 0
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 0
+20 0 0 0 0 36 4 64 0
+20 0 0 0 0 36 8 64 0
+20 0 0 0 0 36 12 64 0
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+20 0 0 0 0 36 88 64 0
+20 0 0 0 0 36 92 64 0
+20 0 0 0 0 36 96 64 0
+20 0 0 0 0 36 100 64 0
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 0
+21 0 2 0 0 36 40 64 0
+21 0 2 0 0 36 41 64 0
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+21 0 2 0 0 36 62 64 0
+21 0 2 0 0 36 63 64 0
+21 0 2 0 0 36 64 64 0
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 0
+22 0 2 0 0 36 40 64 0
+22 0 2 0 0 36 41 64 0
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+22 0 2 0 0 36 60 64 0
+22 0 2 0 0 36 61 64 0
+22 0 2 0 0 36 62 64 0
+22 0 2 0 0 36 63 64 0
+22 0 2 0 0 36 64 64 0
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 0
+22 0 1 0 0 36 28 64 0
+22 0 1 0 0 36 30 64 0
+22 0 1 0 0 36 32 64 0
+22 0 1 0 0 36 34 64 0
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+22 0 1 0 0 36 70 64 0
+22 0 1 0 0 36 72 64 0
+22 0 1 0 0 36 74 64 0
+22 0 1 0 0 36 76 64 0
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 0
+23 0 2 0 0 36 40 64 0
+23 0 2 0 0 36 41 64 0
+23 0 2 0 0 36 42 64 0
+23 0 2 0 0 36 43 64 0
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+23 0 2 0 0 36 61 64 0
+23 0 2 0 0 36 62 64 0
+23 0 2 0 0 36 63 64 0
+23 0 2 0 0 36 64 64 0
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 0
+24 0 2 0 0 36 40 64 0
+24 0 2 0 0 36 41 64 0
+24 0 2 0 0 36 42 64 0
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+24 0 2 0 0 36 60 64 0
+24 0 2 0 0 36 61 64 0
+24 0 2 0 0 36 62 64 0
+24 0 2 0 0 36 63 64 0
+24 0 2 0 0 36 64 64 0
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 0
+24 0 1 0 0 36 28 64 0
+24 0 1 0 0 36 30 64 0
+24 0 1 0 0 36 32 64 0
+24 0 1 0 0 36 34 64 0
+24 0 1 0 0 36 36 64 0
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+24 0 1 0 0 36 68 64 0
+24 0 1 0 0 36 70 64 0
+24 0 1 0 0 36 72 64 0
+24 0 1 0 0 36 74 64 0
+24 0 1 0 0 36 76 64 0
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 0
+24 0 0 0 0 36 4 64 0
+24 0 0 0 0 36 8 64 0
+24 0 0 0 0 36 12 64 0
+24 0 0 0 0 36 16 64 0
+24 0 0 0 0 36 20 64 0
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+24 0 0 0 0 36 48 64 0
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+24 0 0 0 0 36 56 64 0
+24 0 0 0 0 36 60 64 0
+24 0 0 0 0 36 64 64 0
+24 0 0 0 0 36 68 64 0
+24 0 0 0 0 36 72 64 0
+24 0 0 0 0 36 76 64 0
+24 0 0 0 0 36 80 64 0
+24 0 0 0 0 36 84 64 0
+24 0 0 0 0 36 88 64 0
+24 0 0 0 0 36 92 64 0
+24 0 0 0 0 36 96 64 0
+24 0 0 0 0 36 100 64 0
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.zl
new file mode 100644
index 000000000..e10c9f932
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/cart3d_z.zl
@@ -0,0 +1,1757 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 -1.95
+0 0 2 0 0 36 48 52 -1.8
+0 0 2 0 0 36 48 53 -1.65
+0 0 2 0 0 36 48 54 -1.5
+0 0 2 0 0 36 48 55 -1.35
+0 0 2 0 0 36 48 56 -1.2
+0 0 2 0 0 36 48 57 -1.05
+0 0 2 0 0 36 48 58 -0.9
+0 0 2 0 0 36 48 59 -0.75
+0 0 2 0 0 36 48 60 -0.6
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+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -4.5
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+0 0 1 0 0 36 48 100 5.4
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 -9.6
+0 0 0 0 0 36 48 4 -9
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+0 0 0 0 0 36 48 120 8.4
+0 0 0 0 0 36 48 124 9
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+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 -1.95
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+1 0 2 0 0 36 48 84 3
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 -1.95
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+2 0 2 0 0 36 48 84 3
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -4.5
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+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 -1.95
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+3 0 2 0 0 36 48 84 3
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 -1.95
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+4 0 2 0 0 36 48 84 3
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -4.5
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+4 0 1 0 0 36 48 100 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 -9.6
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+4 0 0 0 0 36 48 120 8.4
+4 0 0 0 0 36 48 124 9
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+4 0 0 0 0 36 48 132 10.2
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 -1.95
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+5 0 2 0 0 36 48 84 3
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 -1.95
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+6 0 2 0 0 36 48 83 2.85
+6 0 2 0 0 36 48 84 3
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -4.5
+6 0 1 0 0 36 48 36 -4.2
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+6 0 1 0 0 36 48 96 4.8
+6 0 1 0 0 36 48 98 5.1
+6 0 1 0 0 36 48 100 5.4
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 -1.95
+7 0 2 0 0 36 48 52 -1.8
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+7 0 2 0 0 36 48 82 2.7
+7 0 2 0 0 36 48 83 2.85
+7 0 2 0 0 36 48 84 3
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 -1.95
+8 0 2 0 0 36 48 52 -1.8
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+8 0 2 0 0 36 48 82 2.7
+8 0 2 0 0 36 48 83 2.85
+8 0 2 0 0 36 48 84 3
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -4.5
+8 0 1 0 0 36 48 36 -4.2
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+8 0 1 0 0 36 48 72 1.2
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+8 0 1 0 0 36 48 76 1.8
+8 0 1 0 0 36 48 78 2.1
+8 0 1 0 0 36 48 80 2.4
+8 0 1 0 0 36 48 82 2.7
+8 0 1 0 0 36 48 84 3
+8 0 1 0 0 36 48 86 3.3
+8 0 1 0 0 36 48 88 3.6
+8 0 1 0 0 36 48 90 3.9
+8 0 1 0 0 36 48 92 4.2
+8 0 1 0 0 36 48 94 4.5
+8 0 1 0 0 36 48 96 4.8
+8 0 1 0 0 36 48 98 5.1
+8 0 1 0 0 36 48 100 5.4
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 -9.6
+8 0 0 0 0 36 48 4 -9
+8 0 0 0 0 36 48 8 -8.4
+8 0 0 0 0 36 48 12 -7.8
+8 0 0 0 0 36 48 16 -7.2
+8 0 0 0 0 36 48 20 -6.6
+8 0 0 0 0 36 48 24 -6
+8 0 0 0 0 36 48 28 -5.4
+8 0 0 0 0 36 48 32 -4.8
+8 0 0 0 0 36 48 36 -4.2
+8 0 0 0 0 36 48 40 -3.6
+8 0 0 0 0 36 48 44 -3
+8 0 0 0 0 36 48 48 -2.4
+8 0 0 0 0 36 48 52 -1.8
+8 0 0 0 0 36 48 56 -1.2
+8 0 0 0 0 36 48 60 -0.6
+8 0 0 0 0 36 48 64 0
+8 0 0 0 0 36 48 68 0.6
+8 0 0 0 0 36 48 72 1.2
+8 0 0 0 0 36 48 76 1.8
+8 0 0 0 0 36 48 80 2.4
+8 0 0 0 0 36 48 84 3
+8 0 0 0 0 36 48 88 3.6
+8 0 0 0 0 36 48 92 4.2
+8 0 0 0 0 36 48 96 4.8
+8 0 0 0 0 36 48 100 5.4
+8 0 0 0 0 36 48 104 6
+8 0 0 0 0 36 48 108 6.6
+8 0 0 0 0 36 48 112 7.2
+8 0 0 0 0 36 48 116 7.8
+8 0 0 0 0 36 48 120 8.4
+8 0 0 0 0 36 48 124 9
+8 0 0 0 0 36 48 128 9.6
+8 0 0 0 0 36 48 132 10.2
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 -1.95
+9 0 2 0 0 36 48 52 -1.8
+9 0 2 0 0 36 48 53 -1.65
+9 0 2 0 0 36 48 54 -1.5
+9 0 2 0 0 36 48 55 -1.35
+9 0 2 0 0 36 48 56 -1.2
+9 0 2 0 0 36 48 57 -1.05
+9 0 2 0 0 36 48 58 -0.9
+9 0 2 0 0 36 48 59 -0.75
+9 0 2 0 0 36 48 60 -0.6
+9 0 2 0 0 36 48 61 -0.45
+9 0 2 0 0 36 48 62 -0.3
+9 0 2 0 0 36 48 63 -0.15
+9 0 2 0 0 36 48 64 0
+9 0 2 0 0 36 48 65 0.15
+9 0 2 0 0 36 48 66 0.3
+9 0 2 0 0 36 48 67 0.45
+9 0 2 0 0 36 48 68 0.6
+9 0 2 0 0 36 48 69 0.75
+9 0 2 0 0 36 48 70 0.9
+9 0 2 0 0 36 48 71 1.05
+9 0 2 0 0 36 48 72 1.2
+9 0 2 0 0 36 48 73 1.35
+9 0 2 0 0 36 48 74 1.5
+9 0 2 0 0 36 48 75 1.65
+9 0 2 0 0 36 48 76 1.8
+9 0 2 0 0 36 48 77 1.95
+9 0 2 0 0 36 48 78 2.1
+9 0 2 0 0 36 48 79 2.25
+9 0 2 0 0 36 48 80 2.4
+9 0 2 0 0 36 48 81 2.55
+9 0 2 0 0 36 48 82 2.7
+9 0 2 0 0 36 48 83 2.85
+9 0 2 0 0 36 48 84 3
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 -1.95
+10 0 2 0 0 36 48 52 -1.8
+10 0 2 0 0 36 48 53 -1.65
+10 0 2 0 0 36 48 54 -1.5
+10 0 2 0 0 36 48 55 -1.35
+10 0 2 0 0 36 48 56 -1.2
+10 0 2 0 0 36 48 57 -1.05
+10 0 2 0 0 36 48 58 -0.9
+10 0 2 0 0 36 48 59 -0.75
+10 0 2 0 0 36 48 60 -0.6
+10 0 2 0 0 36 48 61 -0.45
+10 0 2 0 0 36 48 62 -0.3
+10 0 2 0 0 36 48 63 -0.15
+10 0 2 0 0 36 48 64 0
+10 0 2 0 0 36 48 65 0.15
+10 0 2 0 0 36 48 66 0.3
+10 0 2 0 0 36 48 67 0.45
+10 0 2 0 0 36 48 68 0.6
+10 0 2 0 0 36 48 69 0.75
+10 0 2 0 0 36 48 70 0.9
+10 0 2 0 0 36 48 71 1.05
+10 0 2 0 0 36 48 72 1.2
+10 0 2 0 0 36 48 73 1.35
+10 0 2 0 0 36 48 74 1.5
+10 0 2 0 0 36 48 75 1.65
+10 0 2 0 0 36 48 76 1.8
+10 0 2 0 0 36 48 77 1.95
+10 0 2 0 0 36 48 78 2.1
+10 0 2 0 0 36 48 79 2.25
+10 0 2 0 0 36 48 80 2.4
+10 0 2 0 0 36 48 81 2.55
+10 0 2 0 0 36 48 82 2.7
+10 0 2 0 0 36 48 83 2.85
+10 0 2 0 0 36 48 84 3
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -4.5
+10 0 1 0 0 36 48 36 -4.2
+10 0 1 0 0 36 48 38 -3.9
+10 0 1 0 0 36 48 40 -3.6
+10 0 1 0 0 36 48 42 -3.3
+10 0 1 0 0 36 48 44 -3
+10 0 1 0 0 36 48 46 -2.7
+10 0 1 0 0 36 48 48 -2.4
+10 0 1 0 0 36 48 50 -2.1
+10 0 1 0 0 36 48 52 -1.8
+10 0 1 0 0 36 48 54 -1.5
+10 0 1 0 0 36 48 56 -1.2
+10 0 1 0 0 36 48 58 -0.9
+10 0 1 0 0 36 48 60 -0.6
+10 0 1 0 0 36 48 62 -0.3
+10 0 1 0 0 36 48 64 0
+10 0 1 0 0 36 48 66 0.3
+10 0 1 0 0 36 48 68 0.6
+10 0 1 0 0 36 48 70 0.9
+10 0 1 0 0 36 48 72 1.2
+10 0 1 0 0 36 48 74 1.5
+10 0 1 0 0 36 48 76 1.8
+10 0 1 0 0 36 48 78 2.1
+10 0 1 0 0 36 48 80 2.4
+10 0 1 0 0 36 48 82 2.7
+10 0 1 0 0 36 48 84 3
+10 0 1 0 0 36 48 86 3.3
+10 0 1 0 0 36 48 88 3.6
+10 0 1 0 0 36 48 90 3.9
+10 0 1 0 0 36 48 92 4.2
+10 0 1 0 0 36 48 94 4.5
+10 0 1 0 0 36 48 96 4.8
+10 0 1 0 0 36 48 98 5.1
+10 0 1 0 0 36 48 100 5.4
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 -1.95
+11 0 2 0 0 36 48 52 -1.8
+11 0 2 0 0 36 48 53 -1.65
+11 0 2 0 0 36 48 54 -1.5
+11 0 2 0 0 36 48 55 -1.35
+11 0 2 0 0 36 48 56 -1.2
+11 0 2 0 0 36 48 57 -1.05
+11 0 2 0 0 36 48 58 -0.9
+11 0 2 0 0 36 48 59 -0.75
+11 0 2 0 0 36 48 60 -0.6
+11 0 2 0 0 36 48 61 -0.45
+11 0 2 0 0 36 48 62 -0.3
+11 0 2 0 0 36 48 63 -0.15
+11 0 2 0 0 36 48 64 0
+11 0 2 0 0 36 48 65 0.15
+11 0 2 0 0 36 48 66 0.3
+11 0 2 0 0 36 48 67 0.45
+11 0 2 0 0 36 48 68 0.6
+11 0 2 0 0 36 48 69 0.75
+11 0 2 0 0 36 48 70 0.9
+11 0 2 0 0 36 48 71 1.05
+11 0 2 0 0 36 48 72 1.2
+11 0 2 0 0 36 48 73 1.35
+11 0 2 0 0 36 48 74 1.5
+11 0 2 0 0 36 48 75 1.65
+11 0 2 0 0 36 48 76 1.8
+11 0 2 0 0 36 48 77 1.95
+11 0 2 0 0 36 48 78 2.1
+11 0 2 0 0 36 48 79 2.25
+11 0 2 0 0 36 48 80 2.4
+11 0 2 0 0 36 48 81 2.55
+11 0 2 0 0 36 48 82 2.7
+11 0 2 0 0 36 48 83 2.85
+11 0 2 0 0 36 48 84 3
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 -1.95
+12 0 2 0 0 36 48 52 -1.8
+12 0 2 0 0 36 48 53 -1.65
+12 0 2 0 0 36 48 54 -1.5
+12 0 2 0 0 36 48 55 -1.35
+12 0 2 0 0 36 48 56 -1.2
+12 0 2 0 0 36 48 57 -1.05
+12 0 2 0 0 36 48 58 -0.9
+12 0 2 0 0 36 48 59 -0.75
+12 0 2 0 0 36 48 60 -0.6
+12 0 2 0 0 36 48 61 -0.45
+12 0 2 0 0 36 48 62 -0.3
+12 0 2 0 0 36 48 63 -0.15
+12 0 2 0 0 36 48 64 0
+12 0 2 0 0 36 48 65 0.15
+12 0 2 0 0 36 48 66 0.3
+12 0 2 0 0 36 48 67 0.45
+12 0 2 0 0 36 48 68 0.6
+12 0 2 0 0 36 48 69 0.75
+12 0 2 0 0 36 48 70 0.9
+12 0 2 0 0 36 48 71 1.05
+12 0 2 0 0 36 48 72 1.2
+12 0 2 0 0 36 48 73 1.35
+12 0 2 0 0 36 48 74 1.5
+12 0 2 0 0 36 48 75 1.65
+12 0 2 0 0 36 48 76 1.8
+12 0 2 0 0 36 48 77 1.95
+12 0 2 0 0 36 48 78 2.1
+12 0 2 0 0 36 48 79 2.25
+12 0 2 0 0 36 48 80 2.4
+12 0 2 0 0 36 48 81 2.55
+12 0 2 0 0 36 48 82 2.7
+12 0 2 0 0 36 48 83 2.85
+12 0 2 0 0 36 48 84 3
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -4.5
+12 0 1 0 0 36 48 36 -4.2
+12 0 1 0 0 36 48 38 -3.9
+12 0 1 0 0 36 48 40 -3.6
+12 0 1 0 0 36 48 42 -3.3
+12 0 1 0 0 36 48 44 -3
+12 0 1 0 0 36 48 46 -2.7
+12 0 1 0 0 36 48 48 -2.4
+12 0 1 0 0 36 48 50 -2.1
+12 0 1 0 0 36 48 52 -1.8
+12 0 1 0 0 36 48 54 -1.5
+12 0 1 0 0 36 48 56 -1.2
+12 0 1 0 0 36 48 58 -0.9
+12 0 1 0 0 36 48 60 -0.6
+12 0 1 0 0 36 48 62 -0.3
+12 0 1 0 0 36 48 64 0
+12 0 1 0 0 36 48 66 0.3
+12 0 1 0 0 36 48 68 0.6
+12 0 1 0 0 36 48 70 0.9
+12 0 1 0 0 36 48 72 1.2
+12 0 1 0 0 36 48 74 1.5
+12 0 1 0 0 36 48 76 1.8
+12 0 1 0 0 36 48 78 2.1
+12 0 1 0 0 36 48 80 2.4
+12 0 1 0 0 36 48 82 2.7
+12 0 1 0 0 36 48 84 3
+12 0 1 0 0 36 48 86 3.3
+12 0 1 0 0 36 48 88 3.6
+12 0 1 0 0 36 48 90 3.9
+12 0 1 0 0 36 48 92 4.2
+12 0 1 0 0 36 48 94 4.5
+12 0 1 0 0 36 48 96 4.8
+12 0 1 0 0 36 48 98 5.1
+12 0 1 0 0 36 48 100 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 -9.6
+12 0 0 0 0 36 48 4 -9
+12 0 0 0 0 36 48 8 -8.4
+12 0 0 0 0 36 48 12 -7.8
+12 0 0 0 0 36 48 16 -7.2
+12 0 0 0 0 36 48 20 -6.6
+12 0 0 0 0 36 48 24 -6
+12 0 0 0 0 36 48 28 -5.4
+12 0 0 0 0 36 48 32 -4.8
+12 0 0 0 0 36 48 36 -4.2
+12 0 0 0 0 36 48 40 -3.6
+12 0 0 0 0 36 48 44 -3
+12 0 0 0 0 36 48 48 -2.4
+12 0 0 0 0 36 48 52 -1.8
+12 0 0 0 0 36 48 56 -1.2
+12 0 0 0 0 36 48 60 -0.6
+12 0 0 0 0 36 48 64 0
+12 0 0 0 0 36 48 68 0.6
+12 0 0 0 0 36 48 72 1.2
+12 0 0 0 0 36 48 76 1.8
+12 0 0 0 0 36 48 80 2.4
+12 0 0 0 0 36 48 84 3
+12 0 0 0 0 36 48 88 3.6
+12 0 0 0 0 36 48 92 4.2
+12 0 0 0 0 36 48 96 4.8
+12 0 0 0 0 36 48 100 5.4
+12 0 0 0 0 36 48 104 6
+12 0 0 0 0 36 48 108 6.6
+12 0 0 0 0 36 48 112 7.2
+12 0 0 0 0 36 48 116 7.8
+12 0 0 0 0 36 48 120 8.4
+12 0 0 0 0 36 48 124 9
+12 0 0 0 0 36 48 128 9.6
+12 0 0 0 0 36 48 132 10.2
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 -1.95
+13 0 2 0 0 36 48 52 -1.8
+13 0 2 0 0 36 48 53 -1.65
+13 0 2 0 0 36 48 54 -1.5
+13 0 2 0 0 36 48 55 -1.35
+13 0 2 0 0 36 48 56 -1.2
+13 0 2 0 0 36 48 57 -1.05
+13 0 2 0 0 36 48 58 -0.9
+13 0 2 0 0 36 48 59 -0.75
+13 0 2 0 0 36 48 60 -0.6
+13 0 2 0 0 36 48 61 -0.45
+13 0 2 0 0 36 48 62 -0.3
+13 0 2 0 0 36 48 63 -0.15
+13 0 2 0 0 36 48 64 0
+13 0 2 0 0 36 48 65 0.15
+13 0 2 0 0 36 48 66 0.3
+13 0 2 0 0 36 48 67 0.45
+13 0 2 0 0 36 48 68 0.6
+13 0 2 0 0 36 48 69 0.75
+13 0 2 0 0 36 48 70 0.9
+13 0 2 0 0 36 48 71 1.05
+13 0 2 0 0 36 48 72 1.2
+13 0 2 0 0 36 48 73 1.35
+13 0 2 0 0 36 48 74 1.5
+13 0 2 0 0 36 48 75 1.65
+13 0 2 0 0 36 48 76 1.8
+13 0 2 0 0 36 48 77 1.95
+13 0 2 0 0 36 48 78 2.1
+13 0 2 0 0 36 48 79 2.25
+13 0 2 0 0 36 48 80 2.4
+13 0 2 0 0 36 48 81 2.55
+13 0 2 0 0 36 48 82 2.7
+13 0 2 0 0 36 48 83 2.85
+13 0 2 0 0 36 48 84 3
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 -1.95
+14 0 2 0 0 36 48 52 -1.8
+14 0 2 0 0 36 48 53 -1.65
+14 0 2 0 0 36 48 54 -1.5
+14 0 2 0 0 36 48 55 -1.35
+14 0 2 0 0 36 48 56 -1.2
+14 0 2 0 0 36 48 57 -1.05
+14 0 2 0 0 36 48 58 -0.9
+14 0 2 0 0 36 48 59 -0.75
+14 0 2 0 0 36 48 60 -0.6
+14 0 2 0 0 36 48 61 -0.45
+14 0 2 0 0 36 48 62 -0.3
+14 0 2 0 0 36 48 63 -0.15
+14 0 2 0 0 36 48 64 0
+14 0 2 0 0 36 48 65 0.15
+14 0 2 0 0 36 48 66 0.3
+14 0 2 0 0 36 48 67 0.45
+14 0 2 0 0 36 48 68 0.6
+14 0 2 0 0 36 48 69 0.75
+14 0 2 0 0 36 48 70 0.9
+14 0 2 0 0 36 48 71 1.05
+14 0 2 0 0 36 48 72 1.2
+14 0 2 0 0 36 48 73 1.35
+14 0 2 0 0 36 48 74 1.5
+14 0 2 0 0 36 48 75 1.65
+14 0 2 0 0 36 48 76 1.8
+14 0 2 0 0 36 48 77 1.95
+14 0 2 0 0 36 48 78 2.1
+14 0 2 0 0 36 48 79 2.25
+14 0 2 0 0 36 48 80 2.4
+14 0 2 0 0 36 48 81 2.55
+14 0 2 0 0 36 48 82 2.7
+14 0 2 0 0 36 48 83 2.85
+14 0 2 0 0 36 48 84 3
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 -4.5
+14 0 1 0 0 36 48 36 -4.2
+14 0 1 0 0 36 48 38 -3.9
+14 0 1 0 0 36 48 40 -3.6
+14 0 1 0 0 36 48 42 -3.3
+14 0 1 0 0 36 48 44 -3
+14 0 1 0 0 36 48 46 -2.7
+14 0 1 0 0 36 48 48 -2.4
+14 0 1 0 0 36 48 50 -2.1
+14 0 1 0 0 36 48 52 -1.8
+14 0 1 0 0 36 48 54 -1.5
+14 0 1 0 0 36 48 56 -1.2
+14 0 1 0 0 36 48 58 -0.9
+14 0 1 0 0 36 48 60 -0.6
+14 0 1 0 0 36 48 62 -0.3
+14 0 1 0 0 36 48 64 0
+14 0 1 0 0 36 48 66 0.3
+14 0 1 0 0 36 48 68 0.6
+14 0 1 0 0 36 48 70 0.9
+14 0 1 0 0 36 48 72 1.2
+14 0 1 0 0 36 48 74 1.5
+14 0 1 0 0 36 48 76 1.8
+14 0 1 0 0 36 48 78 2.1
+14 0 1 0 0 36 48 80 2.4
+14 0 1 0 0 36 48 82 2.7
+14 0 1 0 0 36 48 84 3
+14 0 1 0 0 36 48 86 3.3
+14 0 1 0 0 36 48 88 3.6
+14 0 1 0 0 36 48 90 3.9
+14 0 1 0 0 36 48 92 4.2
+14 0 1 0 0 36 48 94 4.5
+14 0 1 0 0 36 48 96 4.8
+14 0 1 0 0 36 48 98 5.1
+14 0 1 0 0 36 48 100 5.4
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 -1.95
+15 0 2 0 0 36 48 52 -1.8
+15 0 2 0 0 36 48 53 -1.65
+15 0 2 0 0 36 48 54 -1.5
+15 0 2 0 0 36 48 55 -1.35
+15 0 2 0 0 36 48 56 -1.2
+15 0 2 0 0 36 48 57 -1.05
+15 0 2 0 0 36 48 58 -0.9
+15 0 2 0 0 36 48 59 -0.75
+15 0 2 0 0 36 48 60 -0.6
+15 0 2 0 0 36 48 61 -0.45
+15 0 2 0 0 36 48 62 -0.3
+15 0 2 0 0 36 48 63 -0.15
+15 0 2 0 0 36 48 64 0
+15 0 2 0 0 36 48 65 0.15
+15 0 2 0 0 36 48 66 0.3
+15 0 2 0 0 36 48 67 0.45
+15 0 2 0 0 36 48 68 0.6
+15 0 2 0 0 36 48 69 0.75
+15 0 2 0 0 36 48 70 0.9
+15 0 2 0 0 36 48 71 1.05
+15 0 2 0 0 36 48 72 1.2
+15 0 2 0 0 36 48 73 1.35
+15 0 2 0 0 36 48 74 1.5
+15 0 2 0 0 36 48 75 1.65
+15 0 2 0 0 36 48 76 1.8
+15 0 2 0 0 36 48 77 1.95
+15 0 2 0 0 36 48 78 2.1
+15 0 2 0 0 36 48 79 2.25
+15 0 2 0 0 36 48 80 2.4
+15 0 2 0 0 36 48 81 2.55
+15 0 2 0 0 36 48 82 2.7
+15 0 2 0 0 36 48 83 2.85
+15 0 2 0 0 36 48 84 3
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 -1.95
+16 0 2 0 0 36 48 52 -1.8
+16 0 2 0 0 36 48 53 -1.65
+16 0 2 0 0 36 48 54 -1.5
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+16 0 2 0 0 36 48 56 -1.2
+16 0 2 0 0 36 48 57 -1.05
+16 0 2 0 0 36 48 58 -0.9
+16 0 2 0 0 36 48 59 -0.75
+16 0 2 0 0 36 48 60 -0.6
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+16 0 2 0 0 36 48 64 0
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+16 0 2 0 0 36 48 66 0.3
+16 0 2 0 0 36 48 67 0.45
+16 0 2 0 0 36 48 68 0.6
+16 0 2 0 0 36 48 69 0.75
+16 0 2 0 0 36 48 70 0.9
+16 0 2 0 0 36 48 71 1.05
+16 0 2 0 0 36 48 72 1.2
+16 0 2 0 0 36 48 73 1.35
+16 0 2 0 0 36 48 74 1.5
+16 0 2 0 0 36 48 75 1.65
+16 0 2 0 0 36 48 76 1.8
+16 0 2 0 0 36 48 77 1.95
+16 0 2 0 0 36 48 78 2.1
+16 0 2 0 0 36 48 79 2.25
+16 0 2 0 0 36 48 80 2.4
+16 0 2 0 0 36 48 81 2.55
+16 0 2 0 0 36 48 82 2.7
+16 0 2 0 0 36 48 83 2.85
+16 0 2 0 0 36 48 84 3
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 -4.5
+16 0 1 0 0 36 48 36 -4.2
+16 0 1 0 0 36 48 38 -3.9
+16 0 1 0 0 36 48 40 -3.6
+16 0 1 0 0 36 48 42 -3.3
+16 0 1 0 0 36 48 44 -3
+16 0 1 0 0 36 48 46 -2.7
+16 0 1 0 0 36 48 48 -2.4
+16 0 1 0 0 36 48 50 -2.1
+16 0 1 0 0 36 48 52 -1.8
+16 0 1 0 0 36 48 54 -1.5
+16 0 1 0 0 36 48 56 -1.2
+16 0 1 0 0 36 48 58 -0.9
+16 0 1 0 0 36 48 60 -0.6
+16 0 1 0 0 36 48 62 -0.3
+16 0 1 0 0 36 48 64 0
+16 0 1 0 0 36 48 66 0.3
+16 0 1 0 0 36 48 68 0.6
+16 0 1 0 0 36 48 70 0.9
+16 0 1 0 0 36 48 72 1.2
+16 0 1 0 0 36 48 74 1.5
+16 0 1 0 0 36 48 76 1.8
+16 0 1 0 0 36 48 78 2.1
+16 0 1 0 0 36 48 80 2.4
+16 0 1 0 0 36 48 82 2.7
+16 0 1 0 0 36 48 84 3
+16 0 1 0 0 36 48 86 3.3
+16 0 1 0 0 36 48 88 3.6
+16 0 1 0 0 36 48 90 3.9
+16 0 1 0 0 36 48 92 4.2
+16 0 1 0 0 36 48 94 4.5
+16 0 1 0 0 36 48 96 4.8
+16 0 1 0 0 36 48 98 5.1
+16 0 1 0 0 36 48 100 5.4
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 -9.6
+16 0 0 0 0 36 48 4 -9
+16 0 0 0 0 36 48 8 -8.4
+16 0 0 0 0 36 48 12 -7.8
+16 0 0 0 0 36 48 16 -7.2
+16 0 0 0 0 36 48 20 -6.6
+16 0 0 0 0 36 48 24 -6
+16 0 0 0 0 36 48 28 -5.4
+16 0 0 0 0 36 48 32 -4.8
+16 0 0 0 0 36 48 36 -4.2
+16 0 0 0 0 36 48 40 -3.6
+16 0 0 0 0 36 48 44 -3
+16 0 0 0 0 36 48 48 -2.4
+16 0 0 0 0 36 48 52 -1.8
+16 0 0 0 0 36 48 56 -1.2
+16 0 0 0 0 36 48 60 -0.6
+16 0 0 0 0 36 48 64 0
+16 0 0 0 0 36 48 68 0.6
+16 0 0 0 0 36 48 72 1.2
+16 0 0 0 0 36 48 76 1.8
+16 0 0 0 0 36 48 80 2.4
+16 0 0 0 0 36 48 84 3
+16 0 0 0 0 36 48 88 3.6
+16 0 0 0 0 36 48 92 4.2
+16 0 0 0 0 36 48 96 4.8
+16 0 0 0 0 36 48 100 5.4
+16 0 0 0 0 36 48 104 6
+16 0 0 0 0 36 48 108 6.6
+16 0 0 0 0 36 48 112 7.2
+16 0 0 0 0 36 48 116 7.8
+16 0 0 0 0 36 48 120 8.4
+16 0 0 0 0 36 48 124 9
+16 0 0 0 0 36 48 128 9.6
+16 0 0 0 0 36 48 132 10.2
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 -1.95
+17 0 2 0 0 36 48 52 -1.8
+17 0 2 0 0 36 48 53 -1.65
+17 0 2 0 0 36 48 54 -1.5
+17 0 2 0 0 36 48 55 -1.35
+17 0 2 0 0 36 48 56 -1.2
+17 0 2 0 0 36 48 57 -1.05
+17 0 2 0 0 36 48 58 -0.9
+17 0 2 0 0 36 48 59 -0.75
+17 0 2 0 0 36 48 60 -0.6
+17 0 2 0 0 36 48 61 -0.45
+17 0 2 0 0 36 48 62 -0.3
+17 0 2 0 0 36 48 63 -0.15
+17 0 2 0 0 36 48 64 0
+17 0 2 0 0 36 48 65 0.15
+17 0 2 0 0 36 48 66 0.3
+17 0 2 0 0 36 48 67 0.45
+17 0 2 0 0 36 48 68 0.6
+17 0 2 0 0 36 48 69 0.75
+17 0 2 0 0 36 48 70 0.9
+17 0 2 0 0 36 48 71 1.05
+17 0 2 0 0 36 48 72 1.2
+17 0 2 0 0 36 48 73 1.35
+17 0 2 0 0 36 48 74 1.5
+17 0 2 0 0 36 48 75 1.65
+17 0 2 0 0 36 48 76 1.8
+17 0 2 0 0 36 48 77 1.95
+17 0 2 0 0 36 48 78 2.1
+17 0 2 0 0 36 48 79 2.25
+17 0 2 0 0 36 48 80 2.4
+17 0 2 0 0 36 48 81 2.55
+17 0 2 0 0 36 48 82 2.7
+17 0 2 0 0 36 48 83 2.85
+17 0 2 0 0 36 48 84 3
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 -1.95
+18 0 2 0 0 36 48 52 -1.8
+18 0 2 0 0 36 48 53 -1.65
+18 0 2 0 0 36 48 54 -1.5
+18 0 2 0 0 36 48 55 -1.35
+18 0 2 0 0 36 48 56 -1.2
+18 0 2 0 0 36 48 57 -1.05
+18 0 2 0 0 36 48 58 -0.9
+18 0 2 0 0 36 48 59 -0.75
+18 0 2 0 0 36 48 60 -0.6
+18 0 2 0 0 36 48 61 -0.45
+18 0 2 0 0 36 48 62 -0.3
+18 0 2 0 0 36 48 63 -0.15
+18 0 2 0 0 36 48 64 0
+18 0 2 0 0 36 48 65 0.15
+18 0 2 0 0 36 48 66 0.3
+18 0 2 0 0 36 48 67 0.45
+18 0 2 0 0 36 48 68 0.6
+18 0 2 0 0 36 48 69 0.75
+18 0 2 0 0 36 48 70 0.9
+18 0 2 0 0 36 48 71 1.05
+18 0 2 0 0 36 48 72 1.2
+18 0 2 0 0 36 48 73 1.35
+18 0 2 0 0 36 48 74 1.5
+18 0 2 0 0 36 48 75 1.65
+18 0 2 0 0 36 48 76 1.8
+18 0 2 0 0 36 48 77 1.95
+18 0 2 0 0 36 48 78 2.1
+18 0 2 0 0 36 48 79 2.25
+18 0 2 0 0 36 48 80 2.4
+18 0 2 0 0 36 48 81 2.55
+18 0 2 0 0 36 48 82 2.7
+18 0 2 0 0 36 48 83 2.85
+18 0 2 0 0 36 48 84 3
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 -4.5
+18 0 1 0 0 36 48 36 -4.2
+18 0 1 0 0 36 48 38 -3.9
+18 0 1 0 0 36 48 40 -3.6
+18 0 1 0 0 36 48 42 -3.3
+18 0 1 0 0 36 48 44 -3
+18 0 1 0 0 36 48 46 -2.7
+18 0 1 0 0 36 48 48 -2.4
+18 0 1 0 0 36 48 50 -2.1
+18 0 1 0 0 36 48 52 -1.8
+18 0 1 0 0 36 48 54 -1.5
+18 0 1 0 0 36 48 56 -1.2
+18 0 1 0 0 36 48 58 -0.9
+18 0 1 0 0 36 48 60 -0.6
+18 0 1 0 0 36 48 62 -0.3
+18 0 1 0 0 36 48 64 0
+18 0 1 0 0 36 48 66 0.3
+18 0 1 0 0 36 48 68 0.6
+18 0 1 0 0 36 48 70 0.9
+18 0 1 0 0 36 48 72 1.2
+18 0 1 0 0 36 48 74 1.5
+18 0 1 0 0 36 48 76 1.8
+18 0 1 0 0 36 48 78 2.1
+18 0 1 0 0 36 48 80 2.4
+18 0 1 0 0 36 48 82 2.7
+18 0 1 0 0 36 48 84 3
+18 0 1 0 0 36 48 86 3.3
+18 0 1 0 0 36 48 88 3.6
+18 0 1 0 0 36 48 90 3.9
+18 0 1 0 0 36 48 92 4.2
+18 0 1 0 0 36 48 94 4.5
+18 0 1 0 0 36 48 96 4.8
+18 0 1 0 0 36 48 98 5.1
+18 0 1 0 0 36 48 100 5.4
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 -1.95
+19 0 2 0 0 36 48 52 -1.8
+19 0 2 0 0 36 48 53 -1.65
+19 0 2 0 0 36 48 54 -1.5
+19 0 2 0 0 36 48 55 -1.35
+19 0 2 0 0 36 48 56 -1.2
+19 0 2 0 0 36 48 57 -1.05
+19 0 2 0 0 36 48 58 -0.9
+19 0 2 0 0 36 48 59 -0.75
+19 0 2 0 0 36 48 60 -0.6
+19 0 2 0 0 36 48 61 -0.45
+19 0 2 0 0 36 48 62 -0.3
+19 0 2 0 0 36 48 63 -0.15
+19 0 2 0 0 36 48 64 0
+19 0 2 0 0 36 48 65 0.15
+19 0 2 0 0 36 48 66 0.3
+19 0 2 0 0 36 48 67 0.45
+19 0 2 0 0 36 48 68 0.6
+19 0 2 0 0 36 48 69 0.75
+19 0 2 0 0 36 48 70 0.9
+19 0 2 0 0 36 48 71 1.05
+19 0 2 0 0 36 48 72 1.2
+19 0 2 0 0 36 48 73 1.35
+19 0 2 0 0 36 48 74 1.5
+19 0 2 0 0 36 48 75 1.65
+19 0 2 0 0 36 48 76 1.8
+19 0 2 0 0 36 48 77 1.95
+19 0 2 0 0 36 48 78 2.1
+19 0 2 0 0 36 48 79 2.25
+19 0 2 0 0 36 48 80 2.4
+19 0 2 0 0 36 48 81 2.55
+19 0 2 0 0 36 48 82 2.7
+19 0 2 0 0 36 48 83 2.85
+19 0 2 0 0 36 48 84 3
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 -1.95
+20 0 2 0 0 36 48 52 -1.8
+20 0 2 0 0 36 48 53 -1.65
+20 0 2 0 0 36 48 54 -1.5
+20 0 2 0 0 36 48 55 -1.35
+20 0 2 0 0 36 48 56 -1.2
+20 0 2 0 0 36 48 57 -1.05
+20 0 2 0 0 36 48 58 -0.9
+20 0 2 0 0 36 48 59 -0.75
+20 0 2 0 0 36 48 60 -0.6
+20 0 2 0 0 36 48 61 -0.45
+20 0 2 0 0 36 48 62 -0.3
+20 0 2 0 0 36 48 63 -0.15
+20 0 2 0 0 36 48 64 0
+20 0 2 0 0 36 48 65 0.15
+20 0 2 0 0 36 48 66 0.3
+20 0 2 0 0 36 48 67 0.45
+20 0 2 0 0 36 48 68 0.6
+20 0 2 0 0 36 48 69 0.75
+20 0 2 0 0 36 48 70 0.9
+20 0 2 0 0 36 48 71 1.05
+20 0 2 0 0 36 48 72 1.2
+20 0 2 0 0 36 48 73 1.35
+20 0 2 0 0 36 48 74 1.5
+20 0 2 0 0 36 48 75 1.65
+20 0 2 0 0 36 48 76 1.8
+20 0 2 0 0 36 48 77 1.95
+20 0 2 0 0 36 48 78 2.1
+20 0 2 0 0 36 48 79 2.25
+20 0 2 0 0 36 48 80 2.4
+20 0 2 0 0 36 48 81 2.55
+20 0 2 0 0 36 48 82 2.7
+20 0 2 0 0 36 48 83 2.85
+20 0 2 0 0 36 48 84 3
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 -4.5
+20 0 1 0 0 36 48 36 -4.2
+20 0 1 0 0 36 48 38 -3.9
+20 0 1 0 0 36 48 40 -3.6
+20 0 1 0 0 36 48 42 -3.3
+20 0 1 0 0 36 48 44 -3
+20 0 1 0 0 36 48 46 -2.7
+20 0 1 0 0 36 48 48 -2.4
+20 0 1 0 0 36 48 50 -2.1
+20 0 1 0 0 36 48 52 -1.8
+20 0 1 0 0 36 48 54 -1.5
+20 0 1 0 0 36 48 56 -1.2
+20 0 1 0 0 36 48 58 -0.9
+20 0 1 0 0 36 48 60 -0.6
+20 0 1 0 0 36 48 62 -0.3
+20 0 1 0 0 36 48 64 0
+20 0 1 0 0 36 48 66 0.3
+20 0 1 0 0 36 48 68 0.6
+20 0 1 0 0 36 48 70 0.9
+20 0 1 0 0 36 48 72 1.2
+20 0 1 0 0 36 48 74 1.5
+20 0 1 0 0 36 48 76 1.8
+20 0 1 0 0 36 48 78 2.1
+20 0 1 0 0 36 48 80 2.4
+20 0 1 0 0 36 48 82 2.7
+20 0 1 0 0 36 48 84 3
+20 0 1 0 0 36 48 86 3.3
+20 0 1 0 0 36 48 88 3.6
+20 0 1 0 0 36 48 90 3.9
+20 0 1 0 0 36 48 92 4.2
+20 0 1 0 0 36 48 94 4.5
+20 0 1 0 0 36 48 96 4.8
+20 0 1 0 0 36 48 98 5.1
+20 0 1 0 0 36 48 100 5.4
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 -9.6
+20 0 0 0 0 36 48 4 -9
+20 0 0 0 0 36 48 8 -8.4
+20 0 0 0 0 36 48 12 -7.8
+20 0 0 0 0 36 48 16 -7.2
+20 0 0 0 0 36 48 20 -6.6
+20 0 0 0 0 36 48 24 -6
+20 0 0 0 0 36 48 28 -5.4
+20 0 0 0 0 36 48 32 -4.8
+20 0 0 0 0 36 48 36 -4.2
+20 0 0 0 0 36 48 40 -3.6
+20 0 0 0 0 36 48 44 -3
+20 0 0 0 0 36 48 48 -2.4
+20 0 0 0 0 36 48 52 -1.8
+20 0 0 0 0 36 48 56 -1.2
+20 0 0 0 0 36 48 60 -0.6
+20 0 0 0 0 36 48 64 0
+20 0 0 0 0 36 48 68 0.6
+20 0 0 0 0 36 48 72 1.2
+20 0 0 0 0 36 48 76 1.8
+20 0 0 0 0 36 48 80 2.4
+20 0 0 0 0 36 48 84 3
+20 0 0 0 0 36 48 88 3.6
+20 0 0 0 0 36 48 92 4.2
+20 0 0 0 0 36 48 96 4.8
+20 0 0 0 0 36 48 100 5.4
+20 0 0 0 0 36 48 104 6
+20 0 0 0 0 36 48 108 6.6
+20 0 0 0 0 36 48 112 7.2
+20 0 0 0 0 36 48 116 7.8
+20 0 0 0 0 36 48 120 8.4
+20 0 0 0 0 36 48 124 9
+20 0 0 0 0 36 48 128 9.6
+20 0 0 0 0 36 48 132 10.2
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 -1.95
+21 0 2 0 0 36 48 52 -1.8
+21 0 2 0 0 36 48 53 -1.65
+21 0 2 0 0 36 48 54 -1.5
+21 0 2 0 0 36 48 55 -1.35
+21 0 2 0 0 36 48 56 -1.2
+21 0 2 0 0 36 48 57 -1.05
+21 0 2 0 0 36 48 58 -0.9
+21 0 2 0 0 36 48 59 -0.75
+21 0 2 0 0 36 48 60 -0.6
+21 0 2 0 0 36 48 61 -0.45
+21 0 2 0 0 36 48 62 -0.3
+21 0 2 0 0 36 48 63 -0.15
+21 0 2 0 0 36 48 64 0
+21 0 2 0 0 36 48 65 0.15
+21 0 2 0 0 36 48 66 0.3
+21 0 2 0 0 36 48 67 0.45
+21 0 2 0 0 36 48 68 0.6
+21 0 2 0 0 36 48 69 0.75
+21 0 2 0 0 36 48 70 0.9
+21 0 2 0 0 36 48 71 1.05
+21 0 2 0 0 36 48 72 1.2
+21 0 2 0 0 36 48 73 1.35
+21 0 2 0 0 36 48 74 1.5
+21 0 2 0 0 36 48 75 1.65
+21 0 2 0 0 36 48 76 1.8
+21 0 2 0 0 36 48 77 1.95
+21 0 2 0 0 36 48 78 2.1
+21 0 2 0 0 36 48 79 2.25
+21 0 2 0 0 36 48 80 2.4
+21 0 2 0 0 36 48 81 2.55
+21 0 2 0 0 36 48 82 2.7
+21 0 2 0 0 36 48 83 2.85
+21 0 2 0 0 36 48 84 3
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 -1.95
+22 0 2 0 0 36 48 52 -1.8
+22 0 2 0 0 36 48 53 -1.65
+22 0 2 0 0 36 48 54 -1.5
+22 0 2 0 0 36 48 55 -1.35
+22 0 2 0 0 36 48 56 -1.2
+22 0 2 0 0 36 48 57 -1.05
+22 0 2 0 0 36 48 58 -0.9
+22 0 2 0 0 36 48 59 -0.75
+22 0 2 0 0 36 48 60 -0.6
+22 0 2 0 0 36 48 61 -0.45
+22 0 2 0 0 36 48 62 -0.3
+22 0 2 0 0 36 48 63 -0.15
+22 0 2 0 0 36 48 64 0
+22 0 2 0 0 36 48 65 0.15
+22 0 2 0 0 36 48 66 0.3
+22 0 2 0 0 36 48 67 0.45
+22 0 2 0 0 36 48 68 0.6
+22 0 2 0 0 36 48 69 0.75
+22 0 2 0 0 36 48 70 0.9
+22 0 2 0 0 36 48 71 1.05
+22 0 2 0 0 36 48 72 1.2
+22 0 2 0 0 36 48 73 1.35
+22 0 2 0 0 36 48 74 1.5
+22 0 2 0 0 36 48 75 1.65
+22 0 2 0 0 36 48 76 1.8
+22 0 2 0 0 36 48 77 1.95
+22 0 2 0 0 36 48 78 2.1
+22 0 2 0 0 36 48 79 2.25
+22 0 2 0 0 36 48 80 2.4
+22 0 2 0 0 36 48 81 2.55
+22 0 2 0 0 36 48 82 2.7
+22 0 2 0 0 36 48 83 2.85
+22 0 2 0 0 36 48 84 3
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 -4.5
+22 0 1 0 0 36 48 36 -4.2
+22 0 1 0 0 36 48 38 -3.9
+22 0 1 0 0 36 48 40 -3.6
+22 0 1 0 0 36 48 42 -3.3
+22 0 1 0 0 36 48 44 -3
+22 0 1 0 0 36 48 46 -2.7
+22 0 1 0 0 36 48 48 -2.4
+22 0 1 0 0 36 48 50 -2.1
+22 0 1 0 0 36 48 52 -1.8
+22 0 1 0 0 36 48 54 -1.5
+22 0 1 0 0 36 48 56 -1.2
+22 0 1 0 0 36 48 58 -0.9
+22 0 1 0 0 36 48 60 -0.6
+22 0 1 0 0 36 48 62 -0.3
+22 0 1 0 0 36 48 64 0
+22 0 1 0 0 36 48 66 0.3
+22 0 1 0 0 36 48 68 0.6
+22 0 1 0 0 36 48 70 0.9
+22 0 1 0 0 36 48 72 1.2
+22 0 1 0 0 36 48 74 1.5
+22 0 1 0 0 36 48 76 1.8
+22 0 1 0 0 36 48 78 2.1
+22 0 1 0 0 36 48 80 2.4
+22 0 1 0 0 36 48 82 2.7
+22 0 1 0 0 36 48 84 3
+22 0 1 0 0 36 48 86 3.3
+22 0 1 0 0 36 48 88 3.6
+22 0 1 0 0 36 48 90 3.9
+22 0 1 0 0 36 48 92 4.2
+22 0 1 0 0 36 48 94 4.5
+22 0 1 0 0 36 48 96 4.8
+22 0 1 0 0 36 48 98 5.1
+22 0 1 0 0 36 48 100 5.4
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 -1.95
+23 0 2 0 0 36 48 52 -1.8
+23 0 2 0 0 36 48 53 -1.65
+23 0 2 0 0 36 48 54 -1.5
+23 0 2 0 0 36 48 55 -1.35
+23 0 2 0 0 36 48 56 -1.2
+23 0 2 0 0 36 48 57 -1.05
+23 0 2 0 0 36 48 58 -0.9
+23 0 2 0 0 36 48 59 -0.75
+23 0 2 0 0 36 48 60 -0.6
+23 0 2 0 0 36 48 61 -0.45
+23 0 2 0 0 36 48 62 -0.3
+23 0 2 0 0 36 48 63 -0.15
+23 0 2 0 0 36 48 64 0
+23 0 2 0 0 36 48 65 0.15
+23 0 2 0 0 36 48 66 0.3
+23 0 2 0 0 36 48 67 0.45
+23 0 2 0 0 36 48 68 0.6
+23 0 2 0 0 36 48 69 0.75
+23 0 2 0 0 36 48 70 0.9
+23 0 2 0 0 36 48 71 1.05
+23 0 2 0 0 36 48 72 1.2
+23 0 2 0 0 36 48 73 1.35
+23 0 2 0 0 36 48 74 1.5
+23 0 2 0 0 36 48 75 1.65
+23 0 2 0 0 36 48 76 1.8
+23 0 2 0 0 36 48 77 1.95
+23 0 2 0 0 36 48 78 2.1
+23 0 2 0 0 36 48 79 2.25
+23 0 2 0 0 36 48 80 2.4
+23 0 2 0 0 36 48 81 2.55
+23 0 2 0 0 36 48 82 2.7
+23 0 2 0 0 36 48 83 2.85
+23 0 2 0 0 36 48 84 3
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 -1.95
+24 0 2 0 0 36 48 52 -1.8
+24 0 2 0 0 36 48 53 -1.65
+24 0 2 0 0 36 48 54 -1.5
+24 0 2 0 0 36 48 55 -1.35
+24 0 2 0 0 36 48 56 -1.2
+24 0 2 0 0 36 48 57 -1.05
+24 0 2 0 0 36 48 58 -0.9
+24 0 2 0 0 36 48 59 -0.75
+24 0 2 0 0 36 48 60 -0.6
+24 0 2 0 0 36 48 61 -0.45
+24 0 2 0 0 36 48 62 -0.3
+24 0 2 0 0 36 48 63 -0.15
+24 0 2 0 0 36 48 64 0
+24 0 2 0 0 36 48 65 0.15
+24 0 2 0 0 36 48 66 0.3
+24 0 2 0 0 36 48 67 0.45
+24 0 2 0 0 36 48 68 0.6
+24 0 2 0 0 36 48 69 0.75
+24 0 2 0 0 36 48 70 0.9
+24 0 2 0 0 36 48 71 1.05
+24 0 2 0 0 36 48 72 1.2
+24 0 2 0 0 36 48 73 1.35
+24 0 2 0 0 36 48 74 1.5
+24 0 2 0 0 36 48 75 1.65
+24 0 2 0 0 36 48 76 1.8
+24 0 2 0 0 36 48 77 1.95
+24 0 2 0 0 36 48 78 2.1
+24 0 2 0 0 36 48 79 2.25
+24 0 2 0 0 36 48 80 2.4
+24 0 2 0 0 36 48 81 2.55
+24 0 2 0 0 36 48 82 2.7
+24 0 2 0 0 36 48 83 2.85
+24 0 2 0 0 36 48 84 3
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 -4.5
+24 0 1 0 0 36 48 36 -4.2
+24 0 1 0 0 36 48 38 -3.9
+24 0 1 0 0 36 48 40 -3.6
+24 0 1 0 0 36 48 42 -3.3
+24 0 1 0 0 36 48 44 -3
+24 0 1 0 0 36 48 46 -2.7
+24 0 1 0 0 36 48 48 -2.4
+24 0 1 0 0 36 48 50 -2.1
+24 0 1 0 0 36 48 52 -1.8
+24 0 1 0 0 36 48 54 -1.5
+24 0 1 0 0 36 48 56 -1.2
+24 0 1 0 0 36 48 58 -0.9
+24 0 1 0 0 36 48 60 -0.6
+24 0 1 0 0 36 48 62 -0.3
+24 0 1 0 0 36 48 64 0
+24 0 1 0 0 36 48 66 0.3
+24 0 1 0 0 36 48 68 0.6
+24 0 1 0 0 36 48 70 0.9
+24 0 1 0 0 36 48 72 1.2
+24 0 1 0 0 36 48 74 1.5
+24 0 1 0 0 36 48 76 1.8
+24 0 1 0 0 36 48 78 2.1
+24 0 1 0 0 36 48 80 2.4
+24 0 1 0 0 36 48 82 2.7
+24 0 1 0 0 36 48 84 3
+24 0 1 0 0 36 48 86 3.3
+24 0 1 0 0 36 48 88 3.6
+24 0 1 0 0 36 48 90 3.9
+24 0 1 0 0 36 48 92 4.2
+24 0 1 0 0 36 48 94 4.5
+24 0 1 0 0 36 48 96 4.8
+24 0 1 0 0 36 48 98 5.1
+24 0 1 0 0 36 48 100 5.4
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 -9.6
+24 0 0 0 0 36 48 4 -9
+24 0 0 0 0 36 48 8 -8.4
+24 0 0 0 0 36 48 12 -7.8
+24 0 0 0 0 36 48 16 -7.2
+24 0 0 0 0 36 48 20 -6.6
+24 0 0 0 0 36 48 24 -6
+24 0 0 0 0 36 48 28 -5.4
+24 0 0 0 0 36 48 32 -4.8
+24 0 0 0 0 36 48 36 -4.2
+24 0 0 0 0 36 48 40 -3.6
+24 0 0 0 0 36 48 44 -3
+24 0 0 0 0 36 48 48 -2.4
+24 0 0 0 0 36 48 52 -1.8
+24 0 0 0 0 36 48 56 -1.2
+24 0 0 0 0 36 48 60 -0.6
+24 0 0 0 0 36 48 64 0
+24 0 0 0 0 36 48 68 0.6
+24 0 0 0 0 36 48 72 1.2
+24 0 0 0 0 36 48 76 1.8
+24 0 0 0 0 36 48 80 2.4
+24 0 0 0 0 36 48 84 3
+24 0 0 0 0 36 48 88 3.6
+24 0 0 0 0 36 48 92 4.2
+24 0 0 0 0 36 48 96 4.8
+24 0 0 0 0 36 48 100 5.4
+24 0 0 0 0 36 48 104 6
+24 0 0 0 0 36 48 108 6.6
+24 0 0 0 0 36 48 112 7.2
+24 0 0 0 0 36 48 116 7.8
+24 0 0 0 0 36 48 120 8.4
+24 0 0 0 0 36 48 124 9
+24 0 0 0 0 36 48 128 9.6
+24 0 0 0 0 36 48 132 10.2
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.xl
new file mode 100644
index 000000000..c3584db3f
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.xl
@@ -0,0 +1,1082 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 1.35
+0 0 2 0 0 28 48 64 1.2
+0 0 2 0 0 29 48 64 1.05
+0 0 2 0 0 30 48 64 0.9
+0 0 2 0 0 31 48 64 0.75
+0 0 2 0 0 32 48 64 0.6
+0 0 2 0 0 33 48 64 0.45
+0 0 2 0 0 34 48 64 0.3
+0 0 2 0 0 35 48 64 0.15
+0 0 2 0 0 36 48 64 6.2803698347351e-16
+0 0 2 0 0 37 48 64 0.15
+0 0 2 0 0 38 48 64 0.3
+0 0 2 0 0 39 48 64 0.450000000000001
+0 0 2 0 0 40 48 64 0.600000000000001
+0 0 2 0 0 41 48 64 0.750000000000001
+0 0 2 0 0 42 48 64 0.900000000000001
+0 0 2 0 0 43 48 64 1.05
+0 0 2 0 0 44 48 64 1.2
+0 0 2 0 0 45 48 64 1.35
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 2.7
+0 0 1 0 0 20 48 64 2.4
+0 0 1 0 0 22 48 64 2.1
+0 0 1 0 0 24 48 64 1.8
+0 0 1 0 0 26 48 64 1.5
+0 0 1 0 0 28 48 64 1.2
+0 0 1 0 0 30 48 64 0.9
+0 0 1 0 0 32 48 64 0.6
+0 0 1 0 0 34 48 64 0.3
+0 0 1 0 0 36 48 64 6.2803698347351e-16
+0 0 1 0 0 38 48 64 0.3
+0 0 1 0 0 40 48 64 0.600000000000001
+0 0 1 0 0 42 48 64 0.900000000000001
+0 0 1 0 0 44 48 64 1.2
+0 0 1 0 0 46 48 64 1.5
+0 0 1 0 0 48 48 64 1.8
+0 0 1 0 0 50 48 64 2.1
+0 0 1 0 0 52 48 64 2.4
+0 0 1 0 0 54 48 64 2.7
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 5.4
+0 0 0 0 0 4 48 64 4.8
+0 0 0 0 0 8 48 64 4.2
+0 0 0 0 0 12 48 64 3.6
+0 0 0 0 0 16 48 64 3
+0 0 0 0 0 20 48 64 2.4
+0 0 0 0 0 24 48 64 1.8
+0 0 0 0 0 28 48 64 1.2
+0 0 0 0 0 32 48 64 0.6
+0 0 0 0 0 36 48 64 6.2803698347351e-16
+0 0 0 0 0 40 48 64 0.600000000000001
+0 0 0 0 0 44 48 64 1.2
+0 0 0 0 0 48 48 64 1.8
+0 0 0 0 0 52 48 64 2.4
+0 0 0 0 0 56 48 64 3
+0 0 0 0 0 60 48 64 3.6
+0 0 0 0 0 64 48 64 4.2
+0 0 0 0 0 68 48 64 4.8
+0 0 0 0 0 72 48 64 5.4
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 1.35
+1 0 2 0 0 28 48 64 1.2
+1 0 2 0 0 29 48 64 1.05
+1 0 2 0 0 30 48 64 0.9
+1 0 2 0 0 31 48 64 0.75
+1 0 2 0 0 32 48 64 0.6
+1 0 2 0 0 33 48 64 0.45
+1 0 2 0 0 34 48 64 0.3
+1 0 2 0 0 35 48 64 0.15
+1 0 2 0 0 36 48 64 6.2803698347351e-16
+1 0 2 0 0 37 48 64 0.15
+1 0 2 0 0 38 48 64 0.3
+1 0 2 0 0 39 48 64 0.450000000000001
+1 0 2 0 0 40 48 64 0.600000000000001
+1 0 2 0 0 41 48 64 0.750000000000001
+1 0 2 0 0 42 48 64 0.900000000000001
+1 0 2 0 0 43 48 64 1.05
+1 0 2 0 0 44 48 64 1.2
+1 0 2 0 0 45 48 64 1.35
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 1.35
+2 0 2 0 0 28 48 64 1.2
+2 0 2 0 0 29 48 64 1.05
+2 0 2 0 0 30 48 64 0.9
+2 0 2 0 0 31 48 64 0.75
+2 0 2 0 0 32 48 64 0.6
+2 0 2 0 0 33 48 64 0.45
+2 0 2 0 0 34 48 64 0.3
+2 0 2 0 0 35 48 64 0.15
+2 0 2 0 0 36 48 64 6.2803698347351e-16
+2 0 2 0 0 37 48 64 0.15
+2 0 2 0 0 38 48 64 0.3
+2 0 2 0 0 39 48 64 0.450000000000001
+2 0 2 0 0 40 48 64 0.600000000000001
+2 0 2 0 0 41 48 64 0.750000000000001
+2 0 2 0 0 42 48 64 0.900000000000001
+2 0 2 0 0 43 48 64 1.05
+2 0 2 0 0 44 48 64 1.2
+2 0 2 0 0 45 48 64 1.35
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 2.7
+2 0 1 0 0 20 48 64 2.4
+2 0 1 0 0 22 48 64 2.1
+2 0 1 0 0 24 48 64 1.8
+2 0 1 0 0 26 48 64 1.5
+2 0 1 0 0 28 48 64 1.2
+2 0 1 0 0 30 48 64 0.9
+2 0 1 0 0 32 48 64 0.6
+2 0 1 0 0 34 48 64 0.3
+2 0 1 0 0 36 48 64 6.2803698347351e-16
+2 0 1 0 0 38 48 64 0.3
+2 0 1 0 0 40 48 64 0.600000000000001
+2 0 1 0 0 42 48 64 0.900000000000001
+2 0 1 0 0 44 48 64 1.2
+2 0 1 0 0 46 48 64 1.5
+2 0 1 0 0 48 48 64 1.8
+2 0 1 0 0 50 48 64 2.1
+2 0 1 0 0 52 48 64 2.4
+2 0 1 0 0 54 48 64 2.7
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 1.35
+3 0 2 0 0 28 48 64 1.2
+3 0 2 0 0 29 48 64 1.05
+3 0 2 0 0 30 48 64 0.9
+3 0 2 0 0 31 48 64 0.75
+3 0 2 0 0 32 48 64 0.6
+3 0 2 0 0 33 48 64 0.45
+3 0 2 0 0 34 48 64 0.3
+3 0 2 0 0 35 48 64 0.15
+3 0 2 0 0 36 48 64 6.2803698347351e-16
+3 0 2 0 0 37 48 64 0.15
+3 0 2 0 0 38 48 64 0.3
+3 0 2 0 0 39 48 64 0.450000000000001
+3 0 2 0 0 40 48 64 0.600000000000001
+3 0 2 0 0 41 48 64 0.750000000000001
+3 0 2 0 0 42 48 64 0.900000000000001
+3 0 2 0 0 43 48 64 1.05
+3 0 2 0 0 44 48 64 1.2
+3 0 2 0 0 45 48 64 1.35
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 1.35
+4 0 2 0 0 28 48 64 1.2
+4 0 2 0 0 29 48 64 1.05
+4 0 2 0 0 30 48 64 0.9
+4 0 2 0 0 31 48 64 0.75
+4 0 2 0 0 32 48 64 0.6
+4 0 2 0 0 33 48 64 0.45
+4 0 2 0 0 34 48 64 0.3
+4 0 2 0 0 35 48 64 0.15
+4 0 2 0 0 36 48 64 6.2803698347351e-16
+4 0 2 0 0 37 48 64 0.15
+4 0 2 0 0 38 48 64 0.3
+4 0 2 0 0 39 48 64 0.450000000000001
+4 0 2 0 0 40 48 64 0.600000000000001
+4 0 2 0 0 41 48 64 0.750000000000001
+4 0 2 0 0 42 48 64 0.900000000000001
+4 0 2 0 0 43 48 64 1.05
+4 0 2 0 0 44 48 64 1.2
+4 0 2 0 0 45 48 64 1.35
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 2.7
+4 0 1 0 0 20 48 64 2.4
+4 0 1 0 0 22 48 64 2.1
+4 0 1 0 0 24 48 64 1.8
+4 0 1 0 0 26 48 64 1.5
+4 0 1 0 0 28 48 64 1.2
+4 0 1 0 0 30 48 64 0.9
+4 0 1 0 0 32 48 64 0.6
+4 0 1 0 0 34 48 64 0.3
+4 0 1 0 0 36 48 64 6.2803698347351e-16
+4 0 1 0 0 38 48 64 0.3
+4 0 1 0 0 40 48 64 0.600000000000001
+4 0 1 0 0 42 48 64 0.900000000000001
+4 0 1 0 0 44 48 64 1.2
+4 0 1 0 0 46 48 64 1.5
+4 0 1 0 0 48 48 64 1.8
+4 0 1 0 0 50 48 64 2.1
+4 0 1 0 0 52 48 64 2.4
+4 0 1 0 0 54 48 64 2.7
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 5.4
+4 0 0 0 0 4 48 64 4.8
+4 0 0 0 0 8 48 64 4.2
+4 0 0 0 0 12 48 64 3.6
+4 0 0 0 0 16 48 64 3
+4 0 0 0 0 20 48 64 2.4
+4 0 0 0 0 24 48 64 1.8
+4 0 0 0 0 28 48 64 1.2
+4 0 0 0 0 32 48 64 0.6
+4 0 0 0 0 36 48 64 6.2803698347351e-16
+4 0 0 0 0 40 48 64 0.600000000000001
+4 0 0 0 0 44 48 64 1.2
+4 0 0 0 0 48 48 64 1.8
+4 0 0 0 0 52 48 64 2.4
+4 0 0 0 0 56 48 64 3
+4 0 0 0 0 60 48 64 3.6
+4 0 0 0 0 64 48 64 4.2
+4 0 0 0 0 68 48 64 4.8
+4 0 0 0 0 72 48 64 5.4
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 1.35
+5 0 2 0 0 28 48 64 1.2
+5 0 2 0 0 29 48 64 1.05
+5 0 2 0 0 30 48 64 0.9
+5 0 2 0 0 31 48 64 0.75
+5 0 2 0 0 32 48 64 0.6
+5 0 2 0 0 33 48 64 0.45
+5 0 2 0 0 34 48 64 0.3
+5 0 2 0 0 35 48 64 0.15
+5 0 2 0 0 36 48 64 6.2803698347351e-16
+5 0 2 0 0 37 48 64 0.15
+5 0 2 0 0 38 48 64 0.3
+5 0 2 0 0 39 48 64 0.450000000000001
+5 0 2 0 0 40 48 64 0.600000000000001
+5 0 2 0 0 41 48 64 0.750000000000001
+5 0 2 0 0 42 48 64 0.900000000000001
+5 0 2 0 0 43 48 64 1.05
+5 0 2 0 0 44 48 64 1.2
+5 0 2 0 0 45 48 64 1.35
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 1.35
+6 0 2 0 0 28 48 64 1.2
+6 0 2 0 0 29 48 64 1.05
+6 0 2 0 0 30 48 64 0.9
+6 0 2 0 0 31 48 64 0.75
+6 0 2 0 0 32 48 64 0.6
+6 0 2 0 0 33 48 64 0.45
+6 0 2 0 0 34 48 64 0.3
+6 0 2 0 0 35 48 64 0.15
+6 0 2 0 0 36 48 64 6.2803698347351e-16
+6 0 2 0 0 37 48 64 0.15
+6 0 2 0 0 38 48 64 0.3
+6 0 2 0 0 39 48 64 0.450000000000001
+6 0 2 0 0 40 48 64 0.600000000000001
+6 0 2 0 0 41 48 64 0.750000000000001
+6 0 2 0 0 42 48 64 0.900000000000001
+6 0 2 0 0 43 48 64 1.05
+6 0 2 0 0 44 48 64 1.2
+6 0 2 0 0 45 48 64 1.35
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 2.7
+6 0 1 0 0 20 48 64 2.4
+6 0 1 0 0 22 48 64 2.1
+6 0 1 0 0 24 48 64 1.8
+6 0 1 0 0 26 48 64 1.5
+6 0 1 0 0 28 48 64 1.2
+6 0 1 0 0 30 48 64 0.9
+6 0 1 0 0 32 48 64 0.6
+6 0 1 0 0 34 48 64 0.3
+6 0 1 0 0 36 48 64 6.2803698347351e-16
+6 0 1 0 0 38 48 64 0.3
+6 0 1 0 0 40 48 64 0.600000000000001
+6 0 1 0 0 42 48 64 0.900000000000001
+6 0 1 0 0 44 48 64 1.2
+6 0 1 0 0 46 48 64 1.5
+6 0 1 0 0 48 48 64 1.8
+6 0 1 0 0 50 48 64 2.1
+6 0 1 0 0 52 48 64 2.4
+6 0 1 0 0 54 48 64 2.7
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 1.35
+7 0 2 0 0 28 48 64 1.2
+7 0 2 0 0 29 48 64 1.05
+7 0 2 0 0 30 48 64 0.9
+7 0 2 0 0 31 48 64 0.75
+7 0 2 0 0 32 48 64 0.6
+7 0 2 0 0 33 48 64 0.45
+7 0 2 0 0 34 48 64 0.3
+7 0 2 0 0 35 48 64 0.15
+7 0 2 0 0 36 48 64 6.2803698347351e-16
+7 0 2 0 0 37 48 64 0.15
+7 0 2 0 0 38 48 64 0.3
+7 0 2 0 0 39 48 64 0.450000000000001
+7 0 2 0 0 40 48 64 0.600000000000001
+7 0 2 0 0 41 48 64 0.750000000000001
+7 0 2 0 0 42 48 64 0.900000000000001
+7 0 2 0 0 43 48 64 1.05
+7 0 2 0 0 44 48 64 1.2
+7 0 2 0 0 45 48 64 1.35
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 1.35
+8 0 2 0 0 28 48 64 1.2
+8 0 2 0 0 29 48 64 1.05
+8 0 2 0 0 30 48 64 0.9
+8 0 2 0 0 31 48 64 0.75
+8 0 2 0 0 32 48 64 0.6
+8 0 2 0 0 33 48 64 0.45
+8 0 2 0 0 34 48 64 0.3
+8 0 2 0 0 35 48 64 0.15
+8 0 2 0 0 36 48 64 6.2803698347351e-16
+8 0 2 0 0 37 48 64 0.15
+8 0 2 0 0 38 48 64 0.3
+8 0 2 0 0 39 48 64 0.450000000000001
+8 0 2 0 0 40 48 64 0.600000000000001
+8 0 2 0 0 41 48 64 0.750000000000001
+8 0 2 0 0 42 48 64 0.900000000000001
+8 0 2 0 0 43 48 64 1.05
+8 0 2 0 0 44 48 64 1.2
+8 0 2 0 0 45 48 64 1.35
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 2.7
+8 0 1 0 0 20 48 64 2.4
+8 0 1 0 0 22 48 64 2.1
+8 0 1 0 0 24 48 64 1.8
+8 0 1 0 0 26 48 64 1.5
+8 0 1 0 0 28 48 64 1.2
+8 0 1 0 0 30 48 64 0.9
+8 0 1 0 0 32 48 64 0.6
+8 0 1 0 0 34 48 64 0.3
+8 0 1 0 0 36 48 64 6.2803698347351e-16
+8 0 1 0 0 38 48 64 0.3
+8 0 1 0 0 40 48 64 0.600000000000001
+8 0 1 0 0 42 48 64 0.900000000000001
+8 0 1 0 0 44 48 64 1.2
+8 0 1 0 0 46 48 64 1.5
+8 0 1 0 0 48 48 64 1.8
+8 0 1 0 0 50 48 64 2.1
+8 0 1 0 0 52 48 64 2.4
+8 0 1 0 0 54 48 64 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 5.4
+8 0 0 0 0 4 48 64 4.8
+8 0 0 0 0 8 48 64 4.2
+8 0 0 0 0 12 48 64 3.6
+8 0 0 0 0 16 48 64 3
+8 0 0 0 0 20 48 64 2.4
+8 0 0 0 0 24 48 64 1.8
+8 0 0 0 0 28 48 64 1.2
+8 0 0 0 0 32 48 64 0.6
+8 0 0 0 0 36 48 64 6.2803698347351e-16
+8 0 0 0 0 40 48 64 0.600000000000001
+8 0 0 0 0 44 48 64 1.2
+8 0 0 0 0 48 48 64 1.8
+8 0 0 0 0 52 48 64 2.4
+8 0 0 0 0 56 48 64 3
+8 0 0 0 0 60 48 64 3.6
+8 0 0 0 0 64 48 64 4.2
+8 0 0 0 0 68 48 64 4.8
+8 0 0 0 0 72 48 64 5.4
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 1.35
+9 0 2 0 0 28 48 64 1.2
+9 0 2 0 0 29 48 64 1.05
+9 0 2 0 0 30 48 64 0.9
+9 0 2 0 0 31 48 64 0.75
+9 0 2 0 0 32 48 64 0.6
+9 0 2 0 0 33 48 64 0.45
+9 0 2 0 0 34 48 64 0.3
+9 0 2 0 0 35 48 64 0.15
+9 0 2 0 0 36 48 64 6.2803698347351e-16
+9 0 2 0 0 37 48 64 0.15
+9 0 2 0 0 38 48 64 0.3
+9 0 2 0 0 39 48 64 0.450000000000001
+9 0 2 0 0 40 48 64 0.600000000000001
+9 0 2 0 0 41 48 64 0.750000000000001
+9 0 2 0 0 42 48 64 0.900000000000001
+9 0 2 0 0 43 48 64 1.05
+9 0 2 0 0 44 48 64 1.2
+9 0 2 0 0 45 48 64 1.35
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 1.35
+10 0 2 0 0 28 48 64 1.2
+10 0 2 0 0 29 48 64 1.05
+10 0 2 0 0 30 48 64 0.9
+10 0 2 0 0 31 48 64 0.75
+10 0 2 0 0 32 48 64 0.6
+10 0 2 0 0 33 48 64 0.45
+10 0 2 0 0 34 48 64 0.3
+10 0 2 0 0 35 48 64 0.15
+10 0 2 0 0 36 48 64 6.2803698347351e-16
+10 0 2 0 0 37 48 64 0.15
+10 0 2 0 0 38 48 64 0.3
+10 0 2 0 0 39 48 64 0.450000000000001
+10 0 2 0 0 40 48 64 0.600000000000001
+10 0 2 0 0 41 48 64 0.750000000000001
+10 0 2 0 0 42 48 64 0.900000000000001
+10 0 2 0 0 43 48 64 1.05
+10 0 2 0 0 44 48 64 1.2
+10 0 2 0 0 45 48 64 1.35
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 2.7
+10 0 1 0 0 20 48 64 2.4
+10 0 1 0 0 22 48 64 2.1
+10 0 1 0 0 24 48 64 1.8
+10 0 1 0 0 26 48 64 1.5
+10 0 1 0 0 28 48 64 1.2
+10 0 1 0 0 30 48 64 0.9
+10 0 1 0 0 32 48 64 0.6
+10 0 1 0 0 34 48 64 0.3
+10 0 1 0 0 36 48 64 6.2803698347351e-16
+10 0 1 0 0 38 48 64 0.3
+10 0 1 0 0 40 48 64 0.600000000000001
+10 0 1 0 0 42 48 64 0.900000000000001
+10 0 1 0 0 44 48 64 1.2
+10 0 1 0 0 46 48 64 1.5
+10 0 1 0 0 48 48 64 1.8
+10 0 1 0 0 50 48 64 2.1
+10 0 1 0 0 52 48 64 2.4
+10 0 1 0 0 54 48 64 2.7
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 1.35
+11 0 2 0 0 28 48 64 1.2
+11 0 2 0 0 29 48 64 1.05
+11 0 2 0 0 30 48 64 0.9
+11 0 2 0 0 31 48 64 0.75
+11 0 2 0 0 32 48 64 0.6
+11 0 2 0 0 33 48 64 0.45
+11 0 2 0 0 34 48 64 0.3
+11 0 2 0 0 35 48 64 0.15
+11 0 2 0 0 36 48 64 6.2803698347351e-16
+11 0 2 0 0 37 48 64 0.15
+11 0 2 0 0 38 48 64 0.3
+11 0 2 0 0 39 48 64 0.450000000000001
+11 0 2 0 0 40 48 64 0.600000000000001
+11 0 2 0 0 41 48 64 0.750000000000001
+11 0 2 0 0 42 48 64 0.900000000000001
+11 0 2 0 0 43 48 64 1.05
+11 0 2 0 0 44 48 64 1.2
+11 0 2 0 0 45 48 64 1.35
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 1.35
+12 0 2 0 0 28 48 64 1.2
+12 0 2 0 0 29 48 64 1.05
+12 0 2 0 0 30 48 64 0.9
+12 0 2 0 0 31 48 64 0.75
+12 0 2 0 0 32 48 64 0.6
+12 0 2 0 0 33 48 64 0.45
+12 0 2 0 0 34 48 64 0.3
+12 0 2 0 0 35 48 64 0.15
+12 0 2 0 0 36 48 64 6.2803698347351e-16
+12 0 2 0 0 37 48 64 0.15
+12 0 2 0 0 38 48 64 0.3
+12 0 2 0 0 39 48 64 0.450000000000001
+12 0 2 0 0 40 48 64 0.600000000000001
+12 0 2 0 0 41 48 64 0.750000000000001
+12 0 2 0 0 42 48 64 0.900000000000001
+12 0 2 0 0 43 48 64 1.05
+12 0 2 0 0 44 48 64 1.2
+12 0 2 0 0 45 48 64 1.35
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 2.7
+12 0 1 0 0 20 48 64 2.4
+12 0 1 0 0 22 48 64 2.1
+12 0 1 0 0 24 48 64 1.8
+12 0 1 0 0 26 48 64 1.5
+12 0 1 0 0 28 48 64 1.2
+12 0 1 0 0 30 48 64 0.9
+12 0 1 0 0 32 48 64 0.6
+12 0 1 0 0 34 48 64 0.3
+12 0 1 0 0 36 48 64 6.2803698347351e-16
+12 0 1 0 0 38 48 64 0.3
+12 0 1 0 0 40 48 64 0.600000000000001
+12 0 1 0 0 42 48 64 0.900000000000001
+12 0 1 0 0 44 48 64 1.2
+12 0 1 0 0 46 48 64 1.5
+12 0 1 0 0 48 48 64 1.8
+12 0 1 0 0 50 48 64 2.1
+12 0 1 0 0 52 48 64 2.4
+12 0 1 0 0 54 48 64 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 5.4
+12 0 0 0 0 4 48 64 4.8
+12 0 0 0 0 8 48 64 4.2
+12 0 0 0 0 12 48 64 3.6
+12 0 0 0 0 16 48 64 3
+12 0 0 0 0 20 48 64 2.4
+12 0 0 0 0 24 48 64 1.8
+12 0 0 0 0 28 48 64 1.2
+12 0 0 0 0 32 48 64 0.6
+12 0 0 0 0 36 48 64 6.2803698347351e-16
+12 0 0 0 0 40 48 64 0.600000000000001
+12 0 0 0 0 44 48 64 1.2
+12 0 0 0 0 48 48 64 1.8
+12 0 0 0 0 52 48 64 2.4
+12 0 0 0 0 56 48 64 3
+12 0 0 0 0 60 48 64 3.6
+12 0 0 0 0 64 48 64 4.2
+12 0 0 0 0 68 48 64 4.8
+12 0 0 0 0 72 48 64 5.4
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 1.35
+13 0 2 0 0 28 48 64 1.2
+13 0 2 0 0 29 48 64 1.05
+13 0 2 0 0 30 48 64 0.9
+13 0 2 0 0 31 48 64 0.75
+13 0 2 0 0 32 48 64 0.6
+13 0 2 0 0 33 48 64 0.45
+13 0 2 0 0 34 48 64 0.3
+13 0 2 0 0 35 48 64 0.15
+13 0 2 0 0 36 48 64 6.2803698347351e-16
+13 0 2 0 0 37 48 64 0.15
+13 0 2 0 0 38 48 64 0.3
+13 0 2 0 0 39 48 64 0.450000000000001
+13 0 2 0 0 40 48 64 0.600000000000001
+13 0 2 0 0 41 48 64 0.750000000000001
+13 0 2 0 0 42 48 64 0.900000000000001
+13 0 2 0 0 43 48 64 1.05
+13 0 2 0 0 44 48 64 1.2
+13 0 2 0 0 45 48 64 1.35
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 1.35
+14 0 2 0 0 28 48 64 1.2
+14 0 2 0 0 29 48 64 1.05
+14 0 2 0 0 30 48 64 0.9
+14 0 2 0 0 31 48 64 0.75
+14 0 2 0 0 32 48 64 0.6
+14 0 2 0 0 33 48 64 0.45
+14 0 2 0 0 34 48 64 0.3
+14 0 2 0 0 35 48 64 0.15
+14 0 2 0 0 36 48 64 6.2803698347351e-16
+14 0 2 0 0 37 48 64 0.15
+14 0 2 0 0 38 48 64 0.3
+14 0 2 0 0 39 48 64 0.450000000000001
+14 0 2 0 0 40 48 64 0.600000000000001
+14 0 2 0 0 41 48 64 0.750000000000001
+14 0 2 0 0 42 48 64 0.900000000000001
+14 0 2 0 0 43 48 64 1.05
+14 0 2 0 0 44 48 64 1.2
+14 0 2 0 0 45 48 64 1.35
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 2.7
+14 0 1 0 0 20 48 64 2.4
+14 0 1 0 0 22 48 64 2.1
+14 0 1 0 0 24 48 64 1.8
+14 0 1 0 0 26 48 64 1.5
+14 0 1 0 0 28 48 64 1.2
+14 0 1 0 0 30 48 64 0.9
+14 0 1 0 0 32 48 64 0.6
+14 0 1 0 0 34 48 64 0.3
+14 0 1 0 0 36 48 64 6.2803698347351e-16
+14 0 1 0 0 38 48 64 0.3
+14 0 1 0 0 40 48 64 0.600000000000001
+14 0 1 0 0 42 48 64 0.900000000000001
+14 0 1 0 0 44 48 64 1.2
+14 0 1 0 0 46 48 64 1.5
+14 0 1 0 0 48 48 64 1.8
+14 0 1 0 0 50 48 64 2.1
+14 0 1 0 0 52 48 64 2.4
+14 0 1 0 0 54 48 64 2.7
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 1.35
+15 0 2 0 0 28 48 64 1.2
+15 0 2 0 0 29 48 64 1.05
+15 0 2 0 0 30 48 64 0.9
+15 0 2 0 0 31 48 64 0.75
+15 0 2 0 0 32 48 64 0.6
+15 0 2 0 0 33 48 64 0.45
+15 0 2 0 0 34 48 64 0.3
+15 0 2 0 0 35 48 64 0.15
+15 0 2 0 0 36 48 64 6.2803698347351e-16
+15 0 2 0 0 37 48 64 0.15
+15 0 2 0 0 38 48 64 0.3
+15 0 2 0 0 39 48 64 0.450000000000001
+15 0 2 0 0 40 48 64 0.600000000000001
+15 0 2 0 0 41 48 64 0.750000000000001
+15 0 2 0 0 42 48 64 0.900000000000001
+15 0 2 0 0 43 48 64 1.05
+15 0 2 0 0 44 48 64 1.2
+15 0 2 0 0 45 48 64 1.35
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 1.35
+16 0 2 0 0 28 48 64 1.2
+16 0 2 0 0 29 48 64 1.05
+16 0 2 0 0 30 48 64 0.9
+16 0 2 0 0 31 48 64 0.75
+16 0 2 0 0 32 48 64 0.6
+16 0 2 0 0 33 48 64 0.45
+16 0 2 0 0 34 48 64 0.3
+16 0 2 0 0 35 48 64 0.15
+16 0 2 0 0 36 48 64 6.2803698347351e-16
+16 0 2 0 0 37 48 64 0.15
+16 0 2 0 0 38 48 64 0.3
+16 0 2 0 0 39 48 64 0.450000000000001
+16 0 2 0 0 40 48 64 0.600000000000001
+16 0 2 0 0 41 48 64 0.750000000000001
+16 0 2 0 0 42 48 64 0.900000000000001
+16 0 2 0 0 43 48 64 1.05
+16 0 2 0 0 44 48 64 1.2
+16 0 2 0 0 45 48 64 1.35
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 2.7
+16 0 1 0 0 20 48 64 2.4
+16 0 1 0 0 22 48 64 2.1
+16 0 1 0 0 24 48 64 1.8
+16 0 1 0 0 26 48 64 1.5
+16 0 1 0 0 28 48 64 1.2
+16 0 1 0 0 30 48 64 0.9
+16 0 1 0 0 32 48 64 0.6
+16 0 1 0 0 34 48 64 0.3
+16 0 1 0 0 36 48 64 6.2803698347351e-16
+16 0 1 0 0 38 48 64 0.3
+16 0 1 0 0 40 48 64 0.600000000000001
+16 0 1 0 0 42 48 64 0.900000000000001
+16 0 1 0 0 44 48 64 1.2
+16 0 1 0 0 46 48 64 1.5
+16 0 1 0 0 48 48 64 1.8
+16 0 1 0 0 50 48 64 2.1
+16 0 1 0 0 52 48 64 2.4
+16 0 1 0 0 54 48 64 2.7
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 5.4
+16 0 0 0 0 4 48 64 4.8
+16 0 0 0 0 8 48 64 4.2
+16 0 0 0 0 12 48 64 3.6
+16 0 0 0 0 16 48 64 3
+16 0 0 0 0 20 48 64 2.4
+16 0 0 0 0 24 48 64 1.8
+16 0 0 0 0 28 48 64 1.2
+16 0 0 0 0 32 48 64 0.6
+16 0 0 0 0 36 48 64 6.2803698347351e-16
+16 0 0 0 0 40 48 64 0.600000000000001
+16 0 0 0 0 44 48 64 1.2
+16 0 0 0 0 48 48 64 1.8
+16 0 0 0 0 52 48 64 2.4
+16 0 0 0 0 56 48 64 3
+16 0 0 0 0 60 48 64 3.6
+16 0 0 0 0 64 48 64 4.2
+16 0 0 0 0 68 48 64 4.8
+16 0 0 0 0 72 48 64 5.4
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 1.35
+17 0 2 0 0 28 48 64 1.2
+17 0 2 0 0 29 48 64 1.05
+17 0 2 0 0 30 48 64 0.9
+17 0 2 0 0 31 48 64 0.75
+17 0 2 0 0 32 48 64 0.6
+17 0 2 0 0 33 48 64 0.45
+17 0 2 0 0 34 48 64 0.3
+17 0 2 0 0 35 48 64 0.15
+17 0 2 0 0 36 48 64 6.2803698347351e-16
+17 0 2 0 0 37 48 64 0.15
+17 0 2 0 0 38 48 64 0.3
+17 0 2 0 0 39 48 64 0.450000000000001
+17 0 2 0 0 40 48 64 0.600000000000001
+17 0 2 0 0 41 48 64 0.750000000000001
+17 0 2 0 0 42 48 64 0.900000000000001
+17 0 2 0 0 43 48 64 1.05
+17 0 2 0 0 44 48 64 1.2
+17 0 2 0 0 45 48 64 1.35
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 1.35
+18 0 2 0 0 28 48 64 1.2
+18 0 2 0 0 29 48 64 1.05
+18 0 2 0 0 30 48 64 0.9
+18 0 2 0 0 31 48 64 0.75
+18 0 2 0 0 32 48 64 0.6
+18 0 2 0 0 33 48 64 0.45
+18 0 2 0 0 34 48 64 0.3
+18 0 2 0 0 35 48 64 0.15
+18 0 2 0 0 36 48 64 6.2803698347351e-16
+18 0 2 0 0 37 48 64 0.15
+18 0 2 0 0 38 48 64 0.3
+18 0 2 0 0 39 48 64 0.450000000000001
+18 0 2 0 0 40 48 64 0.600000000000001
+18 0 2 0 0 41 48 64 0.750000000000001
+18 0 2 0 0 42 48 64 0.900000000000001
+18 0 2 0 0 43 48 64 1.05
+18 0 2 0 0 44 48 64 1.2
+18 0 2 0 0 45 48 64 1.35
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 2.7
+18 0 1 0 0 20 48 64 2.4
+18 0 1 0 0 22 48 64 2.1
+18 0 1 0 0 24 48 64 1.8
+18 0 1 0 0 26 48 64 1.5
+18 0 1 0 0 28 48 64 1.2
+18 0 1 0 0 30 48 64 0.9
+18 0 1 0 0 32 48 64 0.6
+18 0 1 0 0 34 48 64 0.3
+18 0 1 0 0 36 48 64 6.2803698347351e-16
+18 0 1 0 0 38 48 64 0.3
+18 0 1 0 0 40 48 64 0.600000000000001
+18 0 1 0 0 42 48 64 0.900000000000001
+18 0 1 0 0 44 48 64 1.2
+18 0 1 0 0 46 48 64 1.5
+18 0 1 0 0 48 48 64 1.8
+18 0 1 0 0 50 48 64 2.1
+18 0 1 0 0 52 48 64 2.4
+18 0 1 0 0 54 48 64 2.7
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 1.35
+19 0 2 0 0 28 48 64 1.2
+19 0 2 0 0 29 48 64 1.05
+19 0 2 0 0 30 48 64 0.9
+19 0 2 0 0 31 48 64 0.75
+19 0 2 0 0 32 48 64 0.6
+19 0 2 0 0 33 48 64 0.45
+19 0 2 0 0 34 48 64 0.3
+19 0 2 0 0 35 48 64 0.15
+19 0 2 0 0 36 48 64 6.2803698347351e-16
+19 0 2 0 0 37 48 64 0.15
+19 0 2 0 0 38 48 64 0.3
+19 0 2 0 0 39 48 64 0.450000000000001
+19 0 2 0 0 40 48 64 0.600000000000001
+19 0 2 0 0 41 48 64 0.750000000000001
+19 0 2 0 0 42 48 64 0.900000000000001
+19 0 2 0 0 43 48 64 1.05
+19 0 2 0 0 44 48 64 1.2
+19 0 2 0 0 45 48 64 1.35
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 1.35
+20 0 2 0 0 28 48 64 1.2
+20 0 2 0 0 29 48 64 1.05
+20 0 2 0 0 30 48 64 0.9
+20 0 2 0 0 31 48 64 0.75
+20 0 2 0 0 32 48 64 0.6
+20 0 2 0 0 33 48 64 0.45
+20 0 2 0 0 34 48 64 0.3
+20 0 2 0 0 35 48 64 0.15
+20 0 2 0 0 36 48 64 6.2803698347351e-16
+20 0 2 0 0 37 48 64 0.15
+20 0 2 0 0 38 48 64 0.3
+20 0 2 0 0 39 48 64 0.450000000000001
+20 0 2 0 0 40 48 64 0.600000000000001
+20 0 2 0 0 41 48 64 0.750000000000001
+20 0 2 0 0 42 48 64 0.900000000000001
+20 0 2 0 0 43 48 64 1.05
+20 0 2 0 0 44 48 64 1.2
+20 0 2 0 0 45 48 64 1.35
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 2.7
+20 0 1 0 0 20 48 64 2.4
+20 0 1 0 0 22 48 64 2.1
+20 0 1 0 0 24 48 64 1.8
+20 0 1 0 0 26 48 64 1.5
+20 0 1 0 0 28 48 64 1.2
+20 0 1 0 0 30 48 64 0.9
+20 0 1 0 0 32 48 64 0.6
+20 0 1 0 0 34 48 64 0.3
+20 0 1 0 0 36 48 64 6.2803698347351e-16
+20 0 1 0 0 38 48 64 0.3
+20 0 1 0 0 40 48 64 0.600000000000001
+20 0 1 0 0 42 48 64 0.900000000000001
+20 0 1 0 0 44 48 64 1.2
+20 0 1 0 0 46 48 64 1.5
+20 0 1 0 0 48 48 64 1.8
+20 0 1 0 0 50 48 64 2.1
+20 0 1 0 0 52 48 64 2.4
+20 0 1 0 0 54 48 64 2.7
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 5.4
+20 0 0 0 0 4 48 64 4.8
+20 0 0 0 0 8 48 64 4.2
+20 0 0 0 0 12 48 64 3.6
+20 0 0 0 0 16 48 64 3
+20 0 0 0 0 20 48 64 2.4
+20 0 0 0 0 24 48 64 1.8
+20 0 0 0 0 28 48 64 1.2
+20 0 0 0 0 32 48 64 0.6
+20 0 0 0 0 36 48 64 6.2803698347351e-16
+20 0 0 0 0 40 48 64 0.600000000000001
+20 0 0 0 0 44 48 64 1.2
+20 0 0 0 0 48 48 64 1.8
+20 0 0 0 0 52 48 64 2.4
+20 0 0 0 0 56 48 64 3
+20 0 0 0 0 60 48 64 3.6
+20 0 0 0 0 64 48 64 4.2
+20 0 0 0 0 68 48 64 4.8
+20 0 0 0 0 72 48 64 5.4
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 1.35
+21 0 2 0 0 28 48 64 1.2
+21 0 2 0 0 29 48 64 1.05
+21 0 2 0 0 30 48 64 0.9
+21 0 2 0 0 31 48 64 0.75
+21 0 2 0 0 32 48 64 0.6
+21 0 2 0 0 33 48 64 0.45
+21 0 2 0 0 34 48 64 0.3
+21 0 2 0 0 35 48 64 0.15
+21 0 2 0 0 36 48 64 6.2803698347351e-16
+21 0 2 0 0 37 48 64 0.15
+21 0 2 0 0 38 48 64 0.3
+21 0 2 0 0 39 48 64 0.450000000000001
+21 0 2 0 0 40 48 64 0.600000000000001
+21 0 2 0 0 41 48 64 0.750000000000001
+21 0 2 0 0 42 48 64 0.900000000000001
+21 0 2 0 0 43 48 64 1.05
+21 0 2 0 0 44 48 64 1.2
+21 0 2 0 0 45 48 64 1.35
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 1.35
+22 0 2 0 0 28 48 64 1.2
+22 0 2 0 0 29 48 64 1.05
+22 0 2 0 0 30 48 64 0.9
+22 0 2 0 0 31 48 64 0.75
+22 0 2 0 0 32 48 64 0.6
+22 0 2 0 0 33 48 64 0.45
+22 0 2 0 0 34 48 64 0.3
+22 0 2 0 0 35 48 64 0.15
+22 0 2 0 0 36 48 64 6.2803698347351e-16
+22 0 2 0 0 37 48 64 0.15
+22 0 2 0 0 38 48 64 0.3
+22 0 2 0 0 39 48 64 0.450000000000001
+22 0 2 0 0 40 48 64 0.600000000000001
+22 0 2 0 0 41 48 64 0.750000000000001
+22 0 2 0 0 42 48 64 0.900000000000001
+22 0 2 0 0 43 48 64 1.05
+22 0 2 0 0 44 48 64 1.2
+22 0 2 0 0 45 48 64 1.35
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 2.7
+22 0 1 0 0 20 48 64 2.4
+22 0 1 0 0 22 48 64 2.1
+22 0 1 0 0 24 48 64 1.8
+22 0 1 0 0 26 48 64 1.5
+22 0 1 0 0 28 48 64 1.2
+22 0 1 0 0 30 48 64 0.9
+22 0 1 0 0 32 48 64 0.6
+22 0 1 0 0 34 48 64 0.3
+22 0 1 0 0 36 48 64 6.2803698347351e-16
+22 0 1 0 0 38 48 64 0.3
+22 0 1 0 0 40 48 64 0.600000000000001
+22 0 1 0 0 42 48 64 0.900000000000001
+22 0 1 0 0 44 48 64 1.2
+22 0 1 0 0 46 48 64 1.5
+22 0 1 0 0 48 48 64 1.8
+22 0 1 0 0 50 48 64 2.1
+22 0 1 0 0 52 48 64 2.4
+22 0 1 0 0 54 48 64 2.7
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 1.35
+23 0 2 0 0 28 48 64 1.2
+23 0 2 0 0 29 48 64 1.05
+23 0 2 0 0 30 48 64 0.9
+23 0 2 0 0 31 48 64 0.75
+23 0 2 0 0 32 48 64 0.6
+23 0 2 0 0 33 48 64 0.45
+23 0 2 0 0 34 48 64 0.3
+23 0 2 0 0 35 48 64 0.15
+23 0 2 0 0 36 48 64 6.2803698347351e-16
+23 0 2 0 0 37 48 64 0.15
+23 0 2 0 0 38 48 64 0.3
+23 0 2 0 0 39 48 64 0.450000000000001
+23 0 2 0 0 40 48 64 0.600000000000001
+23 0 2 0 0 41 48 64 0.750000000000001
+23 0 2 0 0 42 48 64 0.900000000000001
+23 0 2 0 0 43 48 64 1.05
+23 0 2 0 0 44 48 64 1.2
+23 0 2 0 0 45 48 64 1.35
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 1.35
+24 0 2 0 0 28 48 64 1.2
+24 0 2 0 0 29 48 64 1.05
+24 0 2 0 0 30 48 64 0.9
+24 0 2 0 0 31 48 64 0.75
+24 0 2 0 0 32 48 64 0.6
+24 0 2 0 0 33 48 64 0.45
+24 0 2 0 0 34 48 64 0.3
+24 0 2 0 0 35 48 64 0.15
+24 0 2 0 0 36 48 64 6.2803698347351e-16
+24 0 2 0 0 37 48 64 0.15
+24 0 2 0 0 38 48 64 0.3
+24 0 2 0 0 39 48 64 0.450000000000001
+24 0 2 0 0 40 48 64 0.600000000000001
+24 0 2 0 0 41 48 64 0.750000000000001
+24 0 2 0 0 42 48 64 0.900000000000001
+24 0 2 0 0 43 48 64 1.05
+24 0 2 0 0 44 48 64 1.2
+24 0 2 0 0 45 48 64 1.35
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 2.7
+24 0 1 0 0 20 48 64 2.4
+24 0 1 0 0 22 48 64 2.1
+24 0 1 0 0 24 48 64 1.8
+24 0 1 0 0 26 48 64 1.5
+24 0 1 0 0 28 48 64 1.2
+24 0 1 0 0 30 48 64 0.9
+24 0 1 0 0 32 48 64 0.6
+24 0 1 0 0 34 48 64 0.3
+24 0 1 0 0 36 48 64 6.2803698347351e-16
+24 0 1 0 0 38 48 64 0.3
+24 0 1 0 0 40 48 64 0.600000000000001
+24 0 1 0 0 42 48 64 0.900000000000001
+24 0 1 0 0 44 48 64 1.2
+24 0 1 0 0 46 48 64 1.5
+24 0 1 0 0 48 48 64 1.8
+24 0 1 0 0 50 48 64 2.1
+24 0 1 0 0 52 48 64 2.4
+24 0 1 0 0 54 48 64 2.7
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 5.4
+24 0 0 0 0 4 48 64 4.8
+24 0 0 0 0 8 48 64 4.2
+24 0 0 0 0 12 48 64 3.6
+24 0 0 0 0 16 48 64 3
+24 0 0 0 0 20 48 64 2.4
+24 0 0 0 0 24 48 64 1.8
+24 0 0 0 0 28 48 64 1.2
+24 0 0 0 0 32 48 64 0.6
+24 0 0 0 0 36 48 64 6.2803698347351e-16
+24 0 0 0 0 40 48 64 0.600000000000001
+24 0 0 0 0 44 48 64 1.2
+24 0 0 0 0 48 48 64 1.8
+24 0 0 0 0 52 48 64 2.4
+24 0 0 0 0 56 48 64 3
+24 0 0 0 0 60 48 64 3.6
+24 0 0 0 0 64 48 64 4.2
+24 0 0 0 0 68 48 64 4.8
+24 0 0 0 0 72 48 64 5.4
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.yl
new file mode 100644
index 000000000..f281181d4
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.yl
@@ -0,0 +1,1397 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 1.35
+0 0 2 0 0 36 40 64 1.2
+0 0 2 0 0 36 41 64 1.05
+0 0 2 0 0 36 42 64 0.9
+0 0 2 0 0 36 43 64 0.75
+0 0 2 0 0 36 44 64 0.6
+0 0 2 0 0 36 45 64 0.45
+0 0 2 0 0 36 46 64 0.3
+0 0 2 0 0 36 47 64 0.15
+0 0 2 0 0 36 48 64 6.2803698347351e-16
+0 0 2 0 0 36 49 64 0.15
+0 0 2 0 0 36 50 64 0.3
+0 0 2 0 0 36 51 64 0.45
+0 0 2 0 0 36 52 64 0.6
+0 0 2 0 0 36 53 64 0.75
+0 0 2 0 0 36 54 64 0.899999999999999
+0 0 2 0 0 36 55 64 1.05
+0 0 2 0 0 36 56 64 1.2
+0 0 2 0 0 36 57 64 1.35
+0 0 2 0 0 36 58 64 1.5
+0 0 2 0 0 36 59 64 1.65
+0 0 2 0 0 36 60 64 1.8
+0 0 2 0 0 36 61 64 1.95
+0 0 2 0 0 36 62 64 2.1
+0 0 2 0 0 36 63 64 2.25
+0 0 2 0 0 36 64 64 2.4
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 3.3
+0 0 1 0 0 36 28 64 3
+0 0 1 0 0 36 30 64 2.7
+0 0 1 0 0 36 32 64 2.4
+0 0 1 0 0 36 34 64 2.1
+0 0 1 0 0 36 36 64 1.8
+0 0 1 0 0 36 38 64 1.5
+0 0 1 0 0 36 40 64 1.2
+0 0 1 0 0 36 42 64 0.9
+0 0 1 0 0 36 44 64 0.6
+0 0 1 0 0 36 46 64 0.3
+0 0 1 0 0 36 48 64 6.2803698347351e-16
+0 0 1 0 0 36 50 64 0.3
+0 0 1 0 0 36 52 64 0.6
+0 0 1 0 0 36 54 64 0.899999999999999
+0 0 1 0 0 36 56 64 1.2
+0 0 1 0 0 36 58 64 1.5
+0 0 1 0 0 36 60 64 1.8
+0 0 1 0 0 36 62 64 2.1
+0 0 1 0 0 36 64 64 2.4
+0 0 1 0 0 36 66 64 2.7
+0 0 1 0 0 36 68 64 3
+0 0 1 0 0 36 70 64 3.3
+0 0 1 0 0 36 72 64 3.6
+0 0 1 0 0 36 74 64 3.9
+0 0 1 0 0 36 76 64 4.2
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 7.2
+0 0 0 0 0 36 4 64 6.6
+0 0 0 0 0 36 8 64 6
+0 0 0 0 0 36 12 64 5.4
+0 0 0 0 0 36 16 64 4.8
+0 0 0 0 0 36 20 64 4.2
+0 0 0 0 0 36 24 64 3.6
+0 0 0 0 0 36 28 64 3
+0 0 0 0 0 36 32 64 2.4
+0 0 0 0 0 36 36 64 1.8
+0 0 0 0 0 36 40 64 1.2
+0 0 0 0 0 36 44 64 0.6
+0 0 0 0 0 36 48 64 6.2803698347351e-16
+0 0 0 0 0 36 52 64 0.6
+0 0 0 0 0 36 56 64 1.2
+0 0 0 0 0 36 60 64 1.8
+0 0 0 0 0 36 64 64 2.4
+0 0 0 0 0 36 68 64 3
+0 0 0 0 0 36 72 64 3.6
+0 0 0 0 0 36 76 64 4.2
+0 0 0 0 0 36 80 64 4.8
+0 0 0 0 0 36 84 64 5.4
+0 0 0 0 0 36 88 64 6
+0 0 0 0 0 36 92 64 6.6
+0 0 0 0 0 36 96 64 7.2
+0 0 0 0 0 36 100 64 7.8
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 1.35
+1 0 2 0 0 36 40 64 1.2
+1 0 2 0 0 36 41 64 1.05
+1 0 2 0 0 36 42 64 0.9
+1 0 2 0 0 36 43 64 0.75
+1 0 2 0 0 36 44 64 0.6
+1 0 2 0 0 36 45 64 0.45
+1 0 2 0 0 36 46 64 0.3
+1 0 2 0 0 36 47 64 0.15
+1 0 2 0 0 36 48 64 6.2803698347351e-16
+1 0 2 0 0 36 49 64 0.15
+1 0 2 0 0 36 50 64 0.3
+1 0 2 0 0 36 51 64 0.45
+1 0 2 0 0 36 52 64 0.6
+1 0 2 0 0 36 53 64 0.75
+1 0 2 0 0 36 54 64 0.899999999999999
+1 0 2 0 0 36 55 64 1.05
+1 0 2 0 0 36 56 64 1.2
+1 0 2 0 0 36 57 64 1.35
+1 0 2 0 0 36 58 64 1.5
+1 0 2 0 0 36 59 64 1.65
+1 0 2 0 0 36 60 64 1.8
+1 0 2 0 0 36 61 64 1.95
+1 0 2 0 0 36 62 64 2.1
+1 0 2 0 0 36 63 64 2.25
+1 0 2 0 0 36 64 64 2.4
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 1.35
+2 0 2 0 0 36 40 64 1.2
+2 0 2 0 0 36 41 64 1.05
+2 0 2 0 0 36 42 64 0.9
+2 0 2 0 0 36 43 64 0.75
+2 0 2 0 0 36 44 64 0.6
+2 0 2 0 0 36 45 64 0.45
+2 0 2 0 0 36 46 64 0.3
+2 0 2 0 0 36 47 64 0.15
+2 0 2 0 0 36 48 64 6.2803698347351e-16
+2 0 2 0 0 36 49 64 0.15
+2 0 2 0 0 36 50 64 0.3
+2 0 2 0 0 36 51 64 0.45
+2 0 2 0 0 36 52 64 0.6
+2 0 2 0 0 36 53 64 0.75
+2 0 2 0 0 36 54 64 0.899999999999999
+2 0 2 0 0 36 55 64 1.05
+2 0 2 0 0 36 56 64 1.2
+2 0 2 0 0 36 57 64 1.35
+2 0 2 0 0 36 58 64 1.5
+2 0 2 0 0 36 59 64 1.65
+2 0 2 0 0 36 60 64 1.8
+2 0 2 0 0 36 61 64 1.95
+2 0 2 0 0 36 62 64 2.1
+2 0 2 0 0 36 63 64 2.25
+2 0 2 0 0 36 64 64 2.4
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 3.3
+2 0 1 0 0 36 28 64 3
+2 0 1 0 0 36 30 64 2.7
+2 0 1 0 0 36 32 64 2.4
+2 0 1 0 0 36 34 64 2.1
+2 0 1 0 0 36 36 64 1.8
+2 0 1 0 0 36 38 64 1.5
+2 0 1 0 0 36 40 64 1.2
+2 0 1 0 0 36 42 64 0.9
+2 0 1 0 0 36 44 64 0.6
+2 0 1 0 0 36 46 64 0.3
+2 0 1 0 0 36 48 64 6.2803698347351e-16
+2 0 1 0 0 36 50 64 0.3
+2 0 1 0 0 36 52 64 0.6
+2 0 1 0 0 36 54 64 0.899999999999999
+2 0 1 0 0 36 56 64 1.2
+2 0 1 0 0 36 58 64 1.5
+2 0 1 0 0 36 60 64 1.8
+2 0 1 0 0 36 62 64 2.1
+2 0 1 0 0 36 64 64 2.4
+2 0 1 0 0 36 66 64 2.7
+2 0 1 0 0 36 68 64 3
+2 0 1 0 0 36 70 64 3.3
+2 0 1 0 0 36 72 64 3.6
+2 0 1 0 0 36 74 64 3.9
+2 0 1 0 0 36 76 64 4.2
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 1.35
+3 0 2 0 0 36 40 64 1.2
+3 0 2 0 0 36 41 64 1.05
+3 0 2 0 0 36 42 64 0.9
+3 0 2 0 0 36 43 64 0.75
+3 0 2 0 0 36 44 64 0.6
+3 0 2 0 0 36 45 64 0.45
+3 0 2 0 0 36 46 64 0.3
+3 0 2 0 0 36 47 64 0.15
+3 0 2 0 0 36 48 64 6.2803698347351e-16
+3 0 2 0 0 36 49 64 0.15
+3 0 2 0 0 36 50 64 0.3
+3 0 2 0 0 36 51 64 0.45
+3 0 2 0 0 36 52 64 0.6
+3 0 2 0 0 36 53 64 0.75
+3 0 2 0 0 36 54 64 0.899999999999999
+3 0 2 0 0 36 55 64 1.05
+3 0 2 0 0 36 56 64 1.2
+3 0 2 0 0 36 57 64 1.35
+3 0 2 0 0 36 58 64 1.5
+3 0 2 0 0 36 59 64 1.65
+3 0 2 0 0 36 60 64 1.8
+3 0 2 0 0 36 61 64 1.95
+3 0 2 0 0 36 62 64 2.1
+3 0 2 0 0 36 63 64 2.25
+3 0 2 0 0 36 64 64 2.4
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 1.35
+4 0 2 0 0 36 40 64 1.2
+4 0 2 0 0 36 41 64 1.05
+4 0 2 0 0 36 42 64 0.9
+4 0 2 0 0 36 43 64 0.75
+4 0 2 0 0 36 44 64 0.6
+4 0 2 0 0 36 45 64 0.45
+4 0 2 0 0 36 46 64 0.3
+4 0 2 0 0 36 47 64 0.15
+4 0 2 0 0 36 48 64 6.2803698347351e-16
+4 0 2 0 0 36 49 64 0.15
+4 0 2 0 0 36 50 64 0.3
+4 0 2 0 0 36 51 64 0.45
+4 0 2 0 0 36 52 64 0.6
+4 0 2 0 0 36 53 64 0.75
+4 0 2 0 0 36 54 64 0.899999999999999
+4 0 2 0 0 36 55 64 1.05
+4 0 2 0 0 36 56 64 1.2
+4 0 2 0 0 36 57 64 1.35
+4 0 2 0 0 36 58 64 1.5
+4 0 2 0 0 36 59 64 1.65
+4 0 2 0 0 36 60 64 1.8
+4 0 2 0 0 36 61 64 1.95
+4 0 2 0 0 36 62 64 2.1
+4 0 2 0 0 36 63 64 2.25
+4 0 2 0 0 36 64 64 2.4
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 3.3
+4 0 1 0 0 36 28 64 3
+4 0 1 0 0 36 30 64 2.7
+4 0 1 0 0 36 32 64 2.4
+4 0 1 0 0 36 34 64 2.1
+4 0 1 0 0 36 36 64 1.8
+4 0 1 0 0 36 38 64 1.5
+4 0 1 0 0 36 40 64 1.2
+4 0 1 0 0 36 42 64 0.9
+4 0 1 0 0 36 44 64 0.6
+4 0 1 0 0 36 46 64 0.3
+4 0 1 0 0 36 48 64 6.2803698347351e-16
+4 0 1 0 0 36 50 64 0.3
+4 0 1 0 0 36 52 64 0.6
+4 0 1 0 0 36 54 64 0.899999999999999
+4 0 1 0 0 36 56 64 1.2
+4 0 1 0 0 36 58 64 1.5
+4 0 1 0 0 36 60 64 1.8
+4 0 1 0 0 36 62 64 2.1
+4 0 1 0 0 36 64 64 2.4
+4 0 1 0 0 36 66 64 2.7
+4 0 1 0 0 36 68 64 3
+4 0 1 0 0 36 70 64 3.3
+4 0 1 0 0 36 72 64 3.6
+4 0 1 0 0 36 74 64 3.9
+4 0 1 0 0 36 76 64 4.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 7.2
+4 0 0 0 0 36 4 64 6.6
+4 0 0 0 0 36 8 64 6
+4 0 0 0 0 36 12 64 5.4
+4 0 0 0 0 36 16 64 4.8
+4 0 0 0 0 36 20 64 4.2
+4 0 0 0 0 36 24 64 3.6
+4 0 0 0 0 36 28 64 3
+4 0 0 0 0 36 32 64 2.4
+4 0 0 0 0 36 36 64 1.8
+4 0 0 0 0 36 40 64 1.2
+4 0 0 0 0 36 44 64 0.6
+4 0 0 0 0 36 48 64 6.2803698347351e-16
+4 0 0 0 0 36 52 64 0.6
+4 0 0 0 0 36 56 64 1.2
+4 0 0 0 0 36 60 64 1.8
+4 0 0 0 0 36 64 64 2.4
+4 0 0 0 0 36 68 64 3
+4 0 0 0 0 36 72 64 3.6
+4 0 0 0 0 36 76 64 4.2
+4 0 0 0 0 36 80 64 4.8
+4 0 0 0 0 36 84 64 5.4
+4 0 0 0 0 36 88 64 6
+4 0 0 0 0 36 92 64 6.6
+4 0 0 0 0 36 96 64 7.2
+4 0 0 0 0 36 100 64 7.8
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 1.35
+5 0 2 0 0 36 40 64 1.2
+5 0 2 0 0 36 41 64 1.05
+5 0 2 0 0 36 42 64 0.9
+5 0 2 0 0 36 43 64 0.75
+5 0 2 0 0 36 44 64 0.6
+5 0 2 0 0 36 45 64 0.45
+5 0 2 0 0 36 46 64 0.3
+5 0 2 0 0 36 47 64 0.15
+5 0 2 0 0 36 48 64 6.2803698347351e-16
+5 0 2 0 0 36 49 64 0.15
+5 0 2 0 0 36 50 64 0.3
+5 0 2 0 0 36 51 64 0.45
+5 0 2 0 0 36 52 64 0.6
+5 0 2 0 0 36 53 64 0.75
+5 0 2 0 0 36 54 64 0.899999999999999
+5 0 2 0 0 36 55 64 1.05
+5 0 2 0 0 36 56 64 1.2
+5 0 2 0 0 36 57 64 1.35
+5 0 2 0 0 36 58 64 1.5
+5 0 2 0 0 36 59 64 1.65
+5 0 2 0 0 36 60 64 1.8
+5 0 2 0 0 36 61 64 1.95
+5 0 2 0 0 36 62 64 2.1
+5 0 2 0 0 36 63 64 2.25
+5 0 2 0 0 36 64 64 2.4
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 1.35
+6 0 2 0 0 36 40 64 1.2
+6 0 2 0 0 36 41 64 1.05
+6 0 2 0 0 36 42 64 0.9
+6 0 2 0 0 36 43 64 0.75
+6 0 2 0 0 36 44 64 0.6
+6 0 2 0 0 36 45 64 0.45
+6 0 2 0 0 36 46 64 0.3
+6 0 2 0 0 36 47 64 0.15
+6 0 2 0 0 36 48 64 6.2803698347351e-16
+6 0 2 0 0 36 49 64 0.15
+6 0 2 0 0 36 50 64 0.3
+6 0 2 0 0 36 51 64 0.45
+6 0 2 0 0 36 52 64 0.6
+6 0 2 0 0 36 53 64 0.75
+6 0 2 0 0 36 54 64 0.899999999999999
+6 0 2 0 0 36 55 64 1.05
+6 0 2 0 0 36 56 64 1.2
+6 0 2 0 0 36 57 64 1.35
+6 0 2 0 0 36 58 64 1.5
+6 0 2 0 0 36 59 64 1.65
+6 0 2 0 0 36 60 64 1.8
+6 0 2 0 0 36 61 64 1.95
+6 0 2 0 0 36 62 64 2.1
+6 0 2 0 0 36 63 64 2.25
+6 0 2 0 0 36 64 64 2.4
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 3.3
+6 0 1 0 0 36 28 64 3
+6 0 1 0 0 36 30 64 2.7
+6 0 1 0 0 36 32 64 2.4
+6 0 1 0 0 36 34 64 2.1
+6 0 1 0 0 36 36 64 1.8
+6 0 1 0 0 36 38 64 1.5
+6 0 1 0 0 36 40 64 1.2
+6 0 1 0 0 36 42 64 0.9
+6 0 1 0 0 36 44 64 0.6
+6 0 1 0 0 36 46 64 0.3
+6 0 1 0 0 36 48 64 6.2803698347351e-16
+6 0 1 0 0 36 50 64 0.3
+6 0 1 0 0 36 52 64 0.6
+6 0 1 0 0 36 54 64 0.899999999999999
+6 0 1 0 0 36 56 64 1.2
+6 0 1 0 0 36 58 64 1.5
+6 0 1 0 0 36 60 64 1.8
+6 0 1 0 0 36 62 64 2.1
+6 0 1 0 0 36 64 64 2.4
+6 0 1 0 0 36 66 64 2.7
+6 0 1 0 0 36 68 64 3
+6 0 1 0 0 36 70 64 3.3
+6 0 1 0 0 36 72 64 3.6
+6 0 1 0 0 36 74 64 3.9
+6 0 1 0 0 36 76 64 4.2
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 1.35
+7 0 2 0 0 36 40 64 1.2
+7 0 2 0 0 36 41 64 1.05
+7 0 2 0 0 36 42 64 0.9
+7 0 2 0 0 36 43 64 0.75
+7 0 2 0 0 36 44 64 0.6
+7 0 2 0 0 36 45 64 0.45
+7 0 2 0 0 36 46 64 0.3
+7 0 2 0 0 36 47 64 0.15
+7 0 2 0 0 36 48 64 6.2803698347351e-16
+7 0 2 0 0 36 49 64 0.15
+7 0 2 0 0 36 50 64 0.3
+7 0 2 0 0 36 51 64 0.45
+7 0 2 0 0 36 52 64 0.6
+7 0 2 0 0 36 53 64 0.75
+7 0 2 0 0 36 54 64 0.899999999999999
+7 0 2 0 0 36 55 64 1.05
+7 0 2 0 0 36 56 64 1.2
+7 0 2 0 0 36 57 64 1.35
+7 0 2 0 0 36 58 64 1.5
+7 0 2 0 0 36 59 64 1.65
+7 0 2 0 0 36 60 64 1.8
+7 0 2 0 0 36 61 64 1.95
+7 0 2 0 0 36 62 64 2.1
+7 0 2 0 0 36 63 64 2.25
+7 0 2 0 0 36 64 64 2.4
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 1.35
+8 0 2 0 0 36 40 64 1.2
+8 0 2 0 0 36 41 64 1.05
+8 0 2 0 0 36 42 64 0.9
+8 0 2 0 0 36 43 64 0.75
+8 0 2 0 0 36 44 64 0.6
+8 0 2 0 0 36 45 64 0.45
+8 0 2 0 0 36 46 64 0.3
+8 0 2 0 0 36 47 64 0.15
+8 0 2 0 0 36 48 64 6.2803698347351e-16
+8 0 2 0 0 36 49 64 0.15
+8 0 2 0 0 36 50 64 0.3
+8 0 2 0 0 36 51 64 0.45
+8 0 2 0 0 36 52 64 0.6
+8 0 2 0 0 36 53 64 0.75
+8 0 2 0 0 36 54 64 0.899999999999999
+8 0 2 0 0 36 55 64 1.05
+8 0 2 0 0 36 56 64 1.2
+8 0 2 0 0 36 57 64 1.35
+8 0 2 0 0 36 58 64 1.5
+8 0 2 0 0 36 59 64 1.65
+8 0 2 0 0 36 60 64 1.8
+8 0 2 0 0 36 61 64 1.95
+8 0 2 0 0 36 62 64 2.1
+8 0 2 0 0 36 63 64 2.25
+8 0 2 0 0 36 64 64 2.4
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 3.3
+8 0 1 0 0 36 28 64 3
+8 0 1 0 0 36 30 64 2.7
+8 0 1 0 0 36 32 64 2.4
+8 0 1 0 0 36 34 64 2.1
+8 0 1 0 0 36 36 64 1.8
+8 0 1 0 0 36 38 64 1.5
+8 0 1 0 0 36 40 64 1.2
+8 0 1 0 0 36 42 64 0.9
+8 0 1 0 0 36 44 64 0.6
+8 0 1 0 0 36 46 64 0.3
+8 0 1 0 0 36 48 64 6.2803698347351e-16
+8 0 1 0 0 36 50 64 0.3
+8 0 1 0 0 36 52 64 0.6
+8 0 1 0 0 36 54 64 0.899999999999999
+8 0 1 0 0 36 56 64 1.2
+8 0 1 0 0 36 58 64 1.5
+8 0 1 0 0 36 60 64 1.8
+8 0 1 0 0 36 62 64 2.1
+8 0 1 0 0 36 64 64 2.4
+8 0 1 0 0 36 66 64 2.7
+8 0 1 0 0 36 68 64 3
+8 0 1 0 0 36 70 64 3.3
+8 0 1 0 0 36 72 64 3.6
+8 0 1 0 0 36 74 64 3.9
+8 0 1 0 0 36 76 64 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 7.2
+8 0 0 0 0 36 4 64 6.6
+8 0 0 0 0 36 8 64 6
+8 0 0 0 0 36 12 64 5.4
+8 0 0 0 0 36 16 64 4.8
+8 0 0 0 0 36 20 64 4.2
+8 0 0 0 0 36 24 64 3.6
+8 0 0 0 0 36 28 64 3
+8 0 0 0 0 36 32 64 2.4
+8 0 0 0 0 36 36 64 1.8
+8 0 0 0 0 36 40 64 1.2
+8 0 0 0 0 36 44 64 0.6
+8 0 0 0 0 36 48 64 6.2803698347351e-16
+8 0 0 0 0 36 52 64 0.6
+8 0 0 0 0 36 56 64 1.2
+8 0 0 0 0 36 60 64 1.8
+8 0 0 0 0 36 64 64 2.4
+8 0 0 0 0 36 68 64 3
+8 0 0 0 0 36 72 64 3.6
+8 0 0 0 0 36 76 64 4.2
+8 0 0 0 0 36 80 64 4.8
+8 0 0 0 0 36 84 64 5.4
+8 0 0 0 0 36 88 64 6
+8 0 0 0 0 36 92 64 6.6
+8 0 0 0 0 36 96 64 7.2
+8 0 0 0 0 36 100 64 7.8
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 1.35
+9 0 2 0 0 36 40 64 1.2
+9 0 2 0 0 36 41 64 1.05
+9 0 2 0 0 36 42 64 0.9
+9 0 2 0 0 36 43 64 0.75
+9 0 2 0 0 36 44 64 0.6
+9 0 2 0 0 36 45 64 0.45
+9 0 2 0 0 36 46 64 0.3
+9 0 2 0 0 36 47 64 0.15
+9 0 2 0 0 36 48 64 6.2803698347351e-16
+9 0 2 0 0 36 49 64 0.15
+9 0 2 0 0 36 50 64 0.3
+9 0 2 0 0 36 51 64 0.45
+9 0 2 0 0 36 52 64 0.6
+9 0 2 0 0 36 53 64 0.75
+9 0 2 0 0 36 54 64 0.899999999999999
+9 0 2 0 0 36 55 64 1.05
+9 0 2 0 0 36 56 64 1.2
+9 0 2 0 0 36 57 64 1.35
+9 0 2 0 0 36 58 64 1.5
+9 0 2 0 0 36 59 64 1.65
+9 0 2 0 0 36 60 64 1.8
+9 0 2 0 0 36 61 64 1.95
+9 0 2 0 0 36 62 64 2.1
+9 0 2 0 0 36 63 64 2.25
+9 0 2 0 0 36 64 64 2.4
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 1.35
+10 0 2 0 0 36 40 64 1.2
+10 0 2 0 0 36 41 64 1.05
+10 0 2 0 0 36 42 64 0.9
+10 0 2 0 0 36 43 64 0.75
+10 0 2 0 0 36 44 64 0.6
+10 0 2 0 0 36 45 64 0.45
+10 0 2 0 0 36 46 64 0.3
+10 0 2 0 0 36 47 64 0.15
+10 0 2 0 0 36 48 64 6.2803698347351e-16
+10 0 2 0 0 36 49 64 0.15
+10 0 2 0 0 36 50 64 0.3
+10 0 2 0 0 36 51 64 0.45
+10 0 2 0 0 36 52 64 0.6
+10 0 2 0 0 36 53 64 0.75
+10 0 2 0 0 36 54 64 0.899999999999999
+10 0 2 0 0 36 55 64 1.05
+10 0 2 0 0 36 56 64 1.2
+10 0 2 0 0 36 57 64 1.35
+10 0 2 0 0 36 58 64 1.5
+10 0 2 0 0 36 59 64 1.65
+10 0 2 0 0 36 60 64 1.8
+10 0 2 0 0 36 61 64 1.95
+10 0 2 0 0 36 62 64 2.1
+10 0 2 0 0 36 63 64 2.25
+10 0 2 0 0 36 64 64 2.4
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 3.3
+10 0 1 0 0 36 28 64 3
+10 0 1 0 0 36 30 64 2.7
+10 0 1 0 0 36 32 64 2.4
+10 0 1 0 0 36 34 64 2.1
+10 0 1 0 0 36 36 64 1.8
+10 0 1 0 0 36 38 64 1.5
+10 0 1 0 0 36 40 64 1.2
+10 0 1 0 0 36 42 64 0.9
+10 0 1 0 0 36 44 64 0.6
+10 0 1 0 0 36 46 64 0.3
+10 0 1 0 0 36 48 64 6.2803698347351e-16
+10 0 1 0 0 36 50 64 0.3
+10 0 1 0 0 36 52 64 0.6
+10 0 1 0 0 36 54 64 0.899999999999999
+10 0 1 0 0 36 56 64 1.2
+10 0 1 0 0 36 58 64 1.5
+10 0 1 0 0 36 60 64 1.8
+10 0 1 0 0 36 62 64 2.1
+10 0 1 0 0 36 64 64 2.4
+10 0 1 0 0 36 66 64 2.7
+10 0 1 0 0 36 68 64 3
+10 0 1 0 0 36 70 64 3.3
+10 0 1 0 0 36 72 64 3.6
+10 0 1 0 0 36 74 64 3.9
+10 0 1 0 0 36 76 64 4.2
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 1.35
+11 0 2 0 0 36 40 64 1.2
+11 0 2 0 0 36 41 64 1.05
+11 0 2 0 0 36 42 64 0.9
+11 0 2 0 0 36 43 64 0.75
+11 0 2 0 0 36 44 64 0.6
+11 0 2 0 0 36 45 64 0.45
+11 0 2 0 0 36 46 64 0.3
+11 0 2 0 0 36 47 64 0.15
+11 0 2 0 0 36 48 64 6.2803698347351e-16
+11 0 2 0 0 36 49 64 0.15
+11 0 2 0 0 36 50 64 0.3
+11 0 2 0 0 36 51 64 0.45
+11 0 2 0 0 36 52 64 0.6
+11 0 2 0 0 36 53 64 0.75
+11 0 2 0 0 36 54 64 0.899999999999999
+11 0 2 0 0 36 55 64 1.05
+11 0 2 0 0 36 56 64 1.2
+11 0 2 0 0 36 57 64 1.35
+11 0 2 0 0 36 58 64 1.5
+11 0 2 0 0 36 59 64 1.65
+11 0 2 0 0 36 60 64 1.8
+11 0 2 0 0 36 61 64 1.95
+11 0 2 0 0 36 62 64 2.1
+11 0 2 0 0 36 63 64 2.25
+11 0 2 0 0 36 64 64 2.4
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 1.35
+12 0 2 0 0 36 40 64 1.2
+12 0 2 0 0 36 41 64 1.05
+12 0 2 0 0 36 42 64 0.9
+12 0 2 0 0 36 43 64 0.75
+12 0 2 0 0 36 44 64 0.6
+12 0 2 0 0 36 45 64 0.45
+12 0 2 0 0 36 46 64 0.3
+12 0 2 0 0 36 47 64 0.15
+12 0 2 0 0 36 48 64 6.2803698347351e-16
+12 0 2 0 0 36 49 64 0.15
+12 0 2 0 0 36 50 64 0.3
+12 0 2 0 0 36 51 64 0.45
+12 0 2 0 0 36 52 64 0.6
+12 0 2 0 0 36 53 64 0.75
+12 0 2 0 0 36 54 64 0.899999999999999
+12 0 2 0 0 36 55 64 1.05
+12 0 2 0 0 36 56 64 1.2
+12 0 2 0 0 36 57 64 1.35
+12 0 2 0 0 36 58 64 1.5
+12 0 2 0 0 36 59 64 1.65
+12 0 2 0 0 36 60 64 1.8
+12 0 2 0 0 36 61 64 1.95
+12 0 2 0 0 36 62 64 2.1
+12 0 2 0 0 36 63 64 2.25
+12 0 2 0 0 36 64 64 2.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 3.3
+12 0 1 0 0 36 28 64 3
+12 0 1 0 0 36 30 64 2.7
+12 0 1 0 0 36 32 64 2.4
+12 0 1 0 0 36 34 64 2.1
+12 0 1 0 0 36 36 64 1.8
+12 0 1 0 0 36 38 64 1.5
+12 0 1 0 0 36 40 64 1.2
+12 0 1 0 0 36 42 64 0.9
+12 0 1 0 0 36 44 64 0.6
+12 0 1 0 0 36 46 64 0.3
+12 0 1 0 0 36 48 64 6.2803698347351e-16
+12 0 1 0 0 36 50 64 0.3
+12 0 1 0 0 36 52 64 0.6
+12 0 1 0 0 36 54 64 0.899999999999999
+12 0 1 0 0 36 56 64 1.2
+12 0 1 0 0 36 58 64 1.5
+12 0 1 0 0 36 60 64 1.8
+12 0 1 0 0 36 62 64 2.1
+12 0 1 0 0 36 64 64 2.4
+12 0 1 0 0 36 66 64 2.7
+12 0 1 0 0 36 68 64 3
+12 0 1 0 0 36 70 64 3.3
+12 0 1 0 0 36 72 64 3.6
+12 0 1 0 0 36 74 64 3.9
+12 0 1 0 0 36 76 64 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 7.2
+12 0 0 0 0 36 4 64 6.6
+12 0 0 0 0 36 8 64 6
+12 0 0 0 0 36 12 64 5.4
+12 0 0 0 0 36 16 64 4.8
+12 0 0 0 0 36 20 64 4.2
+12 0 0 0 0 36 24 64 3.6
+12 0 0 0 0 36 28 64 3
+12 0 0 0 0 36 32 64 2.4
+12 0 0 0 0 36 36 64 1.8
+12 0 0 0 0 36 40 64 1.2
+12 0 0 0 0 36 44 64 0.6
+12 0 0 0 0 36 48 64 6.2803698347351e-16
+12 0 0 0 0 36 52 64 0.6
+12 0 0 0 0 36 56 64 1.2
+12 0 0 0 0 36 60 64 1.8
+12 0 0 0 0 36 64 64 2.4
+12 0 0 0 0 36 68 64 3
+12 0 0 0 0 36 72 64 3.6
+12 0 0 0 0 36 76 64 4.2
+12 0 0 0 0 36 80 64 4.8
+12 0 0 0 0 36 84 64 5.4
+12 0 0 0 0 36 88 64 6
+12 0 0 0 0 36 92 64 6.6
+12 0 0 0 0 36 96 64 7.2
+12 0 0 0 0 36 100 64 7.8
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 1.35
+13 0 2 0 0 36 40 64 1.2
+13 0 2 0 0 36 41 64 1.05
+13 0 2 0 0 36 42 64 0.9
+13 0 2 0 0 36 43 64 0.75
+13 0 2 0 0 36 44 64 0.6
+13 0 2 0 0 36 45 64 0.45
+13 0 2 0 0 36 46 64 0.3
+13 0 2 0 0 36 47 64 0.15
+13 0 2 0 0 36 48 64 6.2803698347351e-16
+13 0 2 0 0 36 49 64 0.15
+13 0 2 0 0 36 50 64 0.3
+13 0 2 0 0 36 51 64 0.45
+13 0 2 0 0 36 52 64 0.6
+13 0 2 0 0 36 53 64 0.75
+13 0 2 0 0 36 54 64 0.899999999999999
+13 0 2 0 0 36 55 64 1.05
+13 0 2 0 0 36 56 64 1.2
+13 0 2 0 0 36 57 64 1.35
+13 0 2 0 0 36 58 64 1.5
+13 0 2 0 0 36 59 64 1.65
+13 0 2 0 0 36 60 64 1.8
+13 0 2 0 0 36 61 64 1.95
+13 0 2 0 0 36 62 64 2.1
+13 0 2 0 0 36 63 64 2.25
+13 0 2 0 0 36 64 64 2.4
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 1.35
+14 0 2 0 0 36 40 64 1.2
+14 0 2 0 0 36 41 64 1.05
+14 0 2 0 0 36 42 64 0.9
+14 0 2 0 0 36 43 64 0.75
+14 0 2 0 0 36 44 64 0.6
+14 0 2 0 0 36 45 64 0.45
+14 0 2 0 0 36 46 64 0.3
+14 0 2 0 0 36 47 64 0.15
+14 0 2 0 0 36 48 64 6.2803698347351e-16
+14 0 2 0 0 36 49 64 0.15
+14 0 2 0 0 36 50 64 0.3
+14 0 2 0 0 36 51 64 0.45
+14 0 2 0 0 36 52 64 0.6
+14 0 2 0 0 36 53 64 0.75
+14 0 2 0 0 36 54 64 0.899999999999999
+14 0 2 0 0 36 55 64 1.05
+14 0 2 0 0 36 56 64 1.2
+14 0 2 0 0 36 57 64 1.35
+14 0 2 0 0 36 58 64 1.5
+14 0 2 0 0 36 59 64 1.65
+14 0 2 0 0 36 60 64 1.8
+14 0 2 0 0 36 61 64 1.95
+14 0 2 0 0 36 62 64 2.1
+14 0 2 0 0 36 63 64 2.25
+14 0 2 0 0 36 64 64 2.4
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 3.3
+14 0 1 0 0 36 28 64 3
+14 0 1 0 0 36 30 64 2.7
+14 0 1 0 0 36 32 64 2.4
+14 0 1 0 0 36 34 64 2.1
+14 0 1 0 0 36 36 64 1.8
+14 0 1 0 0 36 38 64 1.5
+14 0 1 0 0 36 40 64 1.2
+14 0 1 0 0 36 42 64 0.9
+14 0 1 0 0 36 44 64 0.6
+14 0 1 0 0 36 46 64 0.3
+14 0 1 0 0 36 48 64 6.2803698347351e-16
+14 0 1 0 0 36 50 64 0.3
+14 0 1 0 0 36 52 64 0.6
+14 0 1 0 0 36 54 64 0.899999999999999
+14 0 1 0 0 36 56 64 1.2
+14 0 1 0 0 36 58 64 1.5
+14 0 1 0 0 36 60 64 1.8
+14 0 1 0 0 36 62 64 2.1
+14 0 1 0 0 36 64 64 2.4
+14 0 1 0 0 36 66 64 2.7
+14 0 1 0 0 36 68 64 3
+14 0 1 0 0 36 70 64 3.3
+14 0 1 0 0 36 72 64 3.6
+14 0 1 0 0 36 74 64 3.9
+14 0 1 0 0 36 76 64 4.2
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 1.35
+15 0 2 0 0 36 40 64 1.2
+15 0 2 0 0 36 41 64 1.05
+15 0 2 0 0 36 42 64 0.9
+15 0 2 0 0 36 43 64 0.75
+15 0 2 0 0 36 44 64 0.6
+15 0 2 0 0 36 45 64 0.45
+15 0 2 0 0 36 46 64 0.3
+15 0 2 0 0 36 47 64 0.15
+15 0 2 0 0 36 48 64 6.2803698347351e-16
+15 0 2 0 0 36 49 64 0.15
+15 0 2 0 0 36 50 64 0.3
+15 0 2 0 0 36 51 64 0.45
+15 0 2 0 0 36 52 64 0.6
+15 0 2 0 0 36 53 64 0.75
+15 0 2 0 0 36 54 64 0.899999999999999
+15 0 2 0 0 36 55 64 1.05
+15 0 2 0 0 36 56 64 1.2
+15 0 2 0 0 36 57 64 1.35
+15 0 2 0 0 36 58 64 1.5
+15 0 2 0 0 36 59 64 1.65
+15 0 2 0 0 36 60 64 1.8
+15 0 2 0 0 36 61 64 1.95
+15 0 2 0 0 36 62 64 2.1
+15 0 2 0 0 36 63 64 2.25
+15 0 2 0 0 36 64 64 2.4
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 1.35
+16 0 2 0 0 36 40 64 1.2
+16 0 2 0 0 36 41 64 1.05
+16 0 2 0 0 36 42 64 0.9
+16 0 2 0 0 36 43 64 0.75
+16 0 2 0 0 36 44 64 0.6
+16 0 2 0 0 36 45 64 0.45
+16 0 2 0 0 36 46 64 0.3
+16 0 2 0 0 36 47 64 0.15
+16 0 2 0 0 36 48 64 6.2803698347351e-16
+16 0 2 0 0 36 49 64 0.15
+16 0 2 0 0 36 50 64 0.3
+16 0 2 0 0 36 51 64 0.45
+16 0 2 0 0 36 52 64 0.6
+16 0 2 0 0 36 53 64 0.75
+16 0 2 0 0 36 54 64 0.899999999999999
+16 0 2 0 0 36 55 64 1.05
+16 0 2 0 0 36 56 64 1.2
+16 0 2 0 0 36 57 64 1.35
+16 0 2 0 0 36 58 64 1.5
+16 0 2 0 0 36 59 64 1.65
+16 0 2 0 0 36 60 64 1.8
+16 0 2 0 0 36 61 64 1.95
+16 0 2 0 0 36 62 64 2.1
+16 0 2 0 0 36 63 64 2.25
+16 0 2 0 0 36 64 64 2.4
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 3.3
+16 0 1 0 0 36 28 64 3
+16 0 1 0 0 36 30 64 2.7
+16 0 1 0 0 36 32 64 2.4
+16 0 1 0 0 36 34 64 2.1
+16 0 1 0 0 36 36 64 1.8
+16 0 1 0 0 36 38 64 1.5
+16 0 1 0 0 36 40 64 1.2
+16 0 1 0 0 36 42 64 0.9
+16 0 1 0 0 36 44 64 0.6
+16 0 1 0 0 36 46 64 0.3
+16 0 1 0 0 36 48 64 6.2803698347351e-16
+16 0 1 0 0 36 50 64 0.3
+16 0 1 0 0 36 52 64 0.6
+16 0 1 0 0 36 54 64 0.899999999999999
+16 0 1 0 0 36 56 64 1.2
+16 0 1 0 0 36 58 64 1.5
+16 0 1 0 0 36 60 64 1.8
+16 0 1 0 0 36 62 64 2.1
+16 0 1 0 0 36 64 64 2.4
+16 0 1 0 0 36 66 64 2.7
+16 0 1 0 0 36 68 64 3
+16 0 1 0 0 36 70 64 3.3
+16 0 1 0 0 36 72 64 3.6
+16 0 1 0 0 36 74 64 3.9
+16 0 1 0 0 36 76 64 4.2
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 7.2
+16 0 0 0 0 36 4 64 6.6
+16 0 0 0 0 36 8 64 6
+16 0 0 0 0 36 12 64 5.4
+16 0 0 0 0 36 16 64 4.8
+16 0 0 0 0 36 20 64 4.2
+16 0 0 0 0 36 24 64 3.6
+16 0 0 0 0 36 28 64 3
+16 0 0 0 0 36 32 64 2.4
+16 0 0 0 0 36 36 64 1.8
+16 0 0 0 0 36 40 64 1.2
+16 0 0 0 0 36 44 64 0.6
+16 0 0 0 0 36 48 64 6.2803698347351e-16
+16 0 0 0 0 36 52 64 0.6
+16 0 0 0 0 36 56 64 1.2
+16 0 0 0 0 36 60 64 1.8
+16 0 0 0 0 36 64 64 2.4
+16 0 0 0 0 36 68 64 3
+16 0 0 0 0 36 72 64 3.6
+16 0 0 0 0 36 76 64 4.2
+16 0 0 0 0 36 80 64 4.8
+16 0 0 0 0 36 84 64 5.4
+16 0 0 0 0 36 88 64 6
+16 0 0 0 0 36 92 64 6.6
+16 0 0 0 0 36 96 64 7.2
+16 0 0 0 0 36 100 64 7.8
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 1.35
+17 0 2 0 0 36 40 64 1.2
+17 0 2 0 0 36 41 64 1.05
+17 0 2 0 0 36 42 64 0.9
+17 0 2 0 0 36 43 64 0.75
+17 0 2 0 0 36 44 64 0.6
+17 0 2 0 0 36 45 64 0.45
+17 0 2 0 0 36 46 64 0.3
+17 0 2 0 0 36 47 64 0.15
+17 0 2 0 0 36 48 64 6.2803698347351e-16
+17 0 2 0 0 36 49 64 0.15
+17 0 2 0 0 36 50 64 0.3
+17 0 2 0 0 36 51 64 0.45
+17 0 2 0 0 36 52 64 0.6
+17 0 2 0 0 36 53 64 0.75
+17 0 2 0 0 36 54 64 0.899999999999999
+17 0 2 0 0 36 55 64 1.05
+17 0 2 0 0 36 56 64 1.2
+17 0 2 0 0 36 57 64 1.35
+17 0 2 0 0 36 58 64 1.5
+17 0 2 0 0 36 59 64 1.65
+17 0 2 0 0 36 60 64 1.8
+17 0 2 0 0 36 61 64 1.95
+17 0 2 0 0 36 62 64 2.1
+17 0 2 0 0 36 63 64 2.25
+17 0 2 0 0 36 64 64 2.4
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 1.35
+18 0 2 0 0 36 40 64 1.2
+18 0 2 0 0 36 41 64 1.05
+18 0 2 0 0 36 42 64 0.9
+18 0 2 0 0 36 43 64 0.75
+18 0 2 0 0 36 44 64 0.6
+18 0 2 0 0 36 45 64 0.45
+18 0 2 0 0 36 46 64 0.3
+18 0 2 0 0 36 47 64 0.15
+18 0 2 0 0 36 48 64 6.2803698347351e-16
+18 0 2 0 0 36 49 64 0.15
+18 0 2 0 0 36 50 64 0.3
+18 0 2 0 0 36 51 64 0.45
+18 0 2 0 0 36 52 64 0.6
+18 0 2 0 0 36 53 64 0.75
+18 0 2 0 0 36 54 64 0.899999999999999
+18 0 2 0 0 36 55 64 1.05
+18 0 2 0 0 36 56 64 1.2
+18 0 2 0 0 36 57 64 1.35
+18 0 2 0 0 36 58 64 1.5
+18 0 2 0 0 36 59 64 1.65
+18 0 2 0 0 36 60 64 1.8
+18 0 2 0 0 36 61 64 1.95
+18 0 2 0 0 36 62 64 2.1
+18 0 2 0 0 36 63 64 2.25
+18 0 2 0 0 36 64 64 2.4
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 3.3
+18 0 1 0 0 36 28 64 3
+18 0 1 0 0 36 30 64 2.7
+18 0 1 0 0 36 32 64 2.4
+18 0 1 0 0 36 34 64 2.1
+18 0 1 0 0 36 36 64 1.8
+18 0 1 0 0 36 38 64 1.5
+18 0 1 0 0 36 40 64 1.2
+18 0 1 0 0 36 42 64 0.9
+18 0 1 0 0 36 44 64 0.6
+18 0 1 0 0 36 46 64 0.3
+18 0 1 0 0 36 48 64 6.2803698347351e-16
+18 0 1 0 0 36 50 64 0.3
+18 0 1 0 0 36 52 64 0.6
+18 0 1 0 0 36 54 64 0.899999999999999
+18 0 1 0 0 36 56 64 1.2
+18 0 1 0 0 36 58 64 1.5
+18 0 1 0 0 36 60 64 1.8
+18 0 1 0 0 36 62 64 2.1
+18 0 1 0 0 36 64 64 2.4
+18 0 1 0 0 36 66 64 2.7
+18 0 1 0 0 36 68 64 3
+18 0 1 0 0 36 70 64 3.3
+18 0 1 0 0 36 72 64 3.6
+18 0 1 0 0 36 74 64 3.9
+18 0 1 0 0 36 76 64 4.2
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 1.35
+19 0 2 0 0 36 40 64 1.2
+19 0 2 0 0 36 41 64 1.05
+19 0 2 0 0 36 42 64 0.9
+19 0 2 0 0 36 43 64 0.75
+19 0 2 0 0 36 44 64 0.6
+19 0 2 0 0 36 45 64 0.45
+19 0 2 0 0 36 46 64 0.3
+19 0 2 0 0 36 47 64 0.15
+19 0 2 0 0 36 48 64 6.2803698347351e-16
+19 0 2 0 0 36 49 64 0.15
+19 0 2 0 0 36 50 64 0.3
+19 0 2 0 0 36 51 64 0.45
+19 0 2 0 0 36 52 64 0.6
+19 0 2 0 0 36 53 64 0.75
+19 0 2 0 0 36 54 64 0.899999999999999
+19 0 2 0 0 36 55 64 1.05
+19 0 2 0 0 36 56 64 1.2
+19 0 2 0 0 36 57 64 1.35
+19 0 2 0 0 36 58 64 1.5
+19 0 2 0 0 36 59 64 1.65
+19 0 2 0 0 36 60 64 1.8
+19 0 2 0 0 36 61 64 1.95
+19 0 2 0 0 36 62 64 2.1
+19 0 2 0 0 36 63 64 2.25
+19 0 2 0 0 36 64 64 2.4
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 1.35
+20 0 2 0 0 36 40 64 1.2
+20 0 2 0 0 36 41 64 1.05
+20 0 2 0 0 36 42 64 0.9
+20 0 2 0 0 36 43 64 0.75
+20 0 2 0 0 36 44 64 0.6
+20 0 2 0 0 36 45 64 0.45
+20 0 2 0 0 36 46 64 0.3
+20 0 2 0 0 36 47 64 0.15
+20 0 2 0 0 36 48 64 6.2803698347351e-16
+20 0 2 0 0 36 49 64 0.15
+20 0 2 0 0 36 50 64 0.3
+20 0 2 0 0 36 51 64 0.45
+20 0 2 0 0 36 52 64 0.6
+20 0 2 0 0 36 53 64 0.75
+20 0 2 0 0 36 54 64 0.899999999999999
+20 0 2 0 0 36 55 64 1.05
+20 0 2 0 0 36 56 64 1.2
+20 0 2 0 0 36 57 64 1.35
+20 0 2 0 0 36 58 64 1.5
+20 0 2 0 0 36 59 64 1.65
+20 0 2 0 0 36 60 64 1.8
+20 0 2 0 0 36 61 64 1.95
+20 0 2 0 0 36 62 64 2.1
+20 0 2 0 0 36 63 64 2.25
+20 0 2 0 0 36 64 64 2.4
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 3.3
+20 0 1 0 0 36 28 64 3
+20 0 1 0 0 36 30 64 2.7
+20 0 1 0 0 36 32 64 2.4
+20 0 1 0 0 36 34 64 2.1
+20 0 1 0 0 36 36 64 1.8
+20 0 1 0 0 36 38 64 1.5
+20 0 1 0 0 36 40 64 1.2
+20 0 1 0 0 36 42 64 0.9
+20 0 1 0 0 36 44 64 0.6
+20 0 1 0 0 36 46 64 0.3
+20 0 1 0 0 36 48 64 6.2803698347351e-16
+20 0 1 0 0 36 50 64 0.3
+20 0 1 0 0 36 52 64 0.6
+20 0 1 0 0 36 54 64 0.899999999999999
+20 0 1 0 0 36 56 64 1.2
+20 0 1 0 0 36 58 64 1.5
+20 0 1 0 0 36 60 64 1.8
+20 0 1 0 0 36 62 64 2.1
+20 0 1 0 0 36 64 64 2.4
+20 0 1 0 0 36 66 64 2.7
+20 0 1 0 0 36 68 64 3
+20 0 1 0 0 36 70 64 3.3
+20 0 1 0 0 36 72 64 3.6
+20 0 1 0 0 36 74 64 3.9
+20 0 1 0 0 36 76 64 4.2
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 7.2
+20 0 0 0 0 36 4 64 6.6
+20 0 0 0 0 36 8 64 6
+20 0 0 0 0 36 12 64 5.4
+20 0 0 0 0 36 16 64 4.8
+20 0 0 0 0 36 20 64 4.2
+20 0 0 0 0 36 24 64 3.6
+20 0 0 0 0 36 28 64 3
+20 0 0 0 0 36 32 64 2.4
+20 0 0 0 0 36 36 64 1.8
+20 0 0 0 0 36 40 64 1.2
+20 0 0 0 0 36 44 64 0.6
+20 0 0 0 0 36 48 64 6.2803698347351e-16
+20 0 0 0 0 36 52 64 0.6
+20 0 0 0 0 36 56 64 1.2
+20 0 0 0 0 36 60 64 1.8
+20 0 0 0 0 36 64 64 2.4
+20 0 0 0 0 36 68 64 3
+20 0 0 0 0 36 72 64 3.6
+20 0 0 0 0 36 76 64 4.2
+20 0 0 0 0 36 80 64 4.8
+20 0 0 0 0 36 84 64 5.4
+20 0 0 0 0 36 88 64 6
+20 0 0 0 0 36 92 64 6.6
+20 0 0 0 0 36 96 64 7.2
+20 0 0 0 0 36 100 64 7.8
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 1.35
+21 0 2 0 0 36 40 64 1.2
+21 0 2 0 0 36 41 64 1.05
+21 0 2 0 0 36 42 64 0.9
+21 0 2 0 0 36 43 64 0.75
+21 0 2 0 0 36 44 64 0.6
+21 0 2 0 0 36 45 64 0.45
+21 0 2 0 0 36 46 64 0.3
+21 0 2 0 0 36 47 64 0.15
+21 0 2 0 0 36 48 64 6.2803698347351e-16
+21 0 2 0 0 36 49 64 0.15
+21 0 2 0 0 36 50 64 0.3
+21 0 2 0 0 36 51 64 0.45
+21 0 2 0 0 36 52 64 0.6
+21 0 2 0 0 36 53 64 0.75
+21 0 2 0 0 36 54 64 0.899999999999999
+21 0 2 0 0 36 55 64 1.05
+21 0 2 0 0 36 56 64 1.2
+21 0 2 0 0 36 57 64 1.35
+21 0 2 0 0 36 58 64 1.5
+21 0 2 0 0 36 59 64 1.65
+21 0 2 0 0 36 60 64 1.8
+21 0 2 0 0 36 61 64 1.95
+21 0 2 0 0 36 62 64 2.1
+21 0 2 0 0 36 63 64 2.25
+21 0 2 0 0 36 64 64 2.4
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 1.35
+22 0 2 0 0 36 40 64 1.2
+22 0 2 0 0 36 41 64 1.05
+22 0 2 0 0 36 42 64 0.9
+22 0 2 0 0 36 43 64 0.75
+22 0 2 0 0 36 44 64 0.6
+22 0 2 0 0 36 45 64 0.45
+22 0 2 0 0 36 46 64 0.3
+22 0 2 0 0 36 47 64 0.15
+22 0 2 0 0 36 48 64 6.2803698347351e-16
+22 0 2 0 0 36 49 64 0.15
+22 0 2 0 0 36 50 64 0.3
+22 0 2 0 0 36 51 64 0.45
+22 0 2 0 0 36 52 64 0.6
+22 0 2 0 0 36 53 64 0.75
+22 0 2 0 0 36 54 64 0.899999999999999
+22 0 2 0 0 36 55 64 1.05
+22 0 2 0 0 36 56 64 1.2
+22 0 2 0 0 36 57 64 1.35
+22 0 2 0 0 36 58 64 1.5
+22 0 2 0 0 36 59 64 1.65
+22 0 2 0 0 36 60 64 1.8
+22 0 2 0 0 36 61 64 1.95
+22 0 2 0 0 36 62 64 2.1
+22 0 2 0 0 36 63 64 2.25
+22 0 2 0 0 36 64 64 2.4
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 3.3
+22 0 1 0 0 36 28 64 3
+22 0 1 0 0 36 30 64 2.7
+22 0 1 0 0 36 32 64 2.4
+22 0 1 0 0 36 34 64 2.1
+22 0 1 0 0 36 36 64 1.8
+22 0 1 0 0 36 38 64 1.5
+22 0 1 0 0 36 40 64 1.2
+22 0 1 0 0 36 42 64 0.9
+22 0 1 0 0 36 44 64 0.6
+22 0 1 0 0 36 46 64 0.3
+22 0 1 0 0 36 48 64 6.2803698347351e-16
+22 0 1 0 0 36 50 64 0.3
+22 0 1 0 0 36 52 64 0.6
+22 0 1 0 0 36 54 64 0.899999999999999
+22 0 1 0 0 36 56 64 1.2
+22 0 1 0 0 36 58 64 1.5
+22 0 1 0 0 36 60 64 1.8
+22 0 1 0 0 36 62 64 2.1
+22 0 1 0 0 36 64 64 2.4
+22 0 1 0 0 36 66 64 2.7
+22 0 1 0 0 36 68 64 3
+22 0 1 0 0 36 70 64 3.3
+22 0 1 0 0 36 72 64 3.6
+22 0 1 0 0 36 74 64 3.9
+22 0 1 0 0 36 76 64 4.2
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 1.35
+23 0 2 0 0 36 40 64 1.2
+23 0 2 0 0 36 41 64 1.05
+23 0 2 0 0 36 42 64 0.9
+23 0 2 0 0 36 43 64 0.75
+23 0 2 0 0 36 44 64 0.6
+23 0 2 0 0 36 45 64 0.45
+23 0 2 0 0 36 46 64 0.3
+23 0 2 0 0 36 47 64 0.15
+23 0 2 0 0 36 48 64 6.2803698347351e-16
+23 0 2 0 0 36 49 64 0.15
+23 0 2 0 0 36 50 64 0.3
+23 0 2 0 0 36 51 64 0.45
+23 0 2 0 0 36 52 64 0.6
+23 0 2 0 0 36 53 64 0.75
+23 0 2 0 0 36 54 64 0.899999999999999
+23 0 2 0 0 36 55 64 1.05
+23 0 2 0 0 36 56 64 1.2
+23 0 2 0 0 36 57 64 1.35
+23 0 2 0 0 36 58 64 1.5
+23 0 2 0 0 36 59 64 1.65
+23 0 2 0 0 36 60 64 1.8
+23 0 2 0 0 36 61 64 1.95
+23 0 2 0 0 36 62 64 2.1
+23 0 2 0 0 36 63 64 2.25
+23 0 2 0 0 36 64 64 2.4
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 1.35
+24 0 2 0 0 36 40 64 1.2
+24 0 2 0 0 36 41 64 1.05
+24 0 2 0 0 36 42 64 0.9
+24 0 2 0 0 36 43 64 0.75
+24 0 2 0 0 36 44 64 0.6
+24 0 2 0 0 36 45 64 0.45
+24 0 2 0 0 36 46 64 0.3
+24 0 2 0 0 36 47 64 0.15
+24 0 2 0 0 36 48 64 6.2803698347351e-16
+24 0 2 0 0 36 49 64 0.15
+24 0 2 0 0 36 50 64 0.3
+24 0 2 0 0 36 51 64 0.45
+24 0 2 0 0 36 52 64 0.6
+24 0 2 0 0 36 53 64 0.75
+24 0 2 0 0 36 54 64 0.899999999999999
+24 0 2 0 0 36 55 64 1.05
+24 0 2 0 0 36 56 64 1.2
+24 0 2 0 0 36 57 64 1.35
+24 0 2 0 0 36 58 64 1.5
+24 0 2 0 0 36 59 64 1.65
+24 0 2 0 0 36 60 64 1.8
+24 0 2 0 0 36 61 64 1.95
+24 0 2 0 0 36 62 64 2.1
+24 0 2 0 0 36 63 64 2.25
+24 0 2 0 0 36 64 64 2.4
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 3.3
+24 0 1 0 0 36 28 64 3
+24 0 1 0 0 36 30 64 2.7
+24 0 1 0 0 36 32 64 2.4
+24 0 1 0 0 36 34 64 2.1
+24 0 1 0 0 36 36 64 1.8
+24 0 1 0 0 36 38 64 1.5
+24 0 1 0 0 36 40 64 1.2
+24 0 1 0 0 36 42 64 0.9
+24 0 1 0 0 36 44 64 0.6
+24 0 1 0 0 36 46 64 0.3
+24 0 1 0 0 36 48 64 6.2803698347351e-16
+24 0 1 0 0 36 50 64 0.3
+24 0 1 0 0 36 52 64 0.6
+24 0 1 0 0 36 54 64 0.899999999999999
+24 0 1 0 0 36 56 64 1.2
+24 0 1 0 0 36 58 64 1.5
+24 0 1 0 0 36 60 64 1.8
+24 0 1 0 0 36 62 64 2.1
+24 0 1 0 0 36 64 64 2.4
+24 0 1 0 0 36 66 64 2.7
+24 0 1 0 0 36 68 64 3
+24 0 1 0 0 36 70 64 3.3
+24 0 1 0 0 36 72 64 3.6
+24 0 1 0 0 36 74 64 3.9
+24 0 1 0 0 36 76 64 4.2
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 7.2
+24 0 0 0 0 36 4 64 6.6
+24 0 0 0 0 36 8 64 6
+24 0 0 0 0 36 12 64 5.4
+24 0 0 0 0 36 16 64 4.8
+24 0 0 0 0 36 20 64 4.2
+24 0 0 0 0 36 24 64 3.6
+24 0 0 0 0 36 28 64 3
+24 0 0 0 0 36 32 64 2.4
+24 0 0 0 0 36 36 64 1.8
+24 0 0 0 0 36 40 64 1.2
+24 0 0 0 0 36 44 64 0.6
+24 0 0 0 0 36 48 64 6.2803698347351e-16
+24 0 0 0 0 36 52 64 0.6
+24 0 0 0 0 36 56 64 1.2
+24 0 0 0 0 36 60 64 1.8
+24 0 0 0 0 36 64 64 2.4
+24 0 0 0 0 36 68 64 3
+24 0 0 0 0 36 72 64 3.6
+24 0 0 0 0 36 76 64 4.2
+24 0 0 0 0 36 80 64 4.8
+24 0 0 0 0 36 84 64 5.4
+24 0 0 0 0 36 88 64 6
+24 0 0 0 0 36 92 64 6.6
+24 0 0 0 0 36 96 64 7.2
+24 0 0 0 0 36 100 64 7.8
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.zl
new file mode 100644
index 000000000..6577f6504
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/spher3d_r.zl
@@ -0,0 +1,1757 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 1.95
+0 0 2 0 0 36 48 52 1.8
+0 0 2 0 0 36 48 53 1.65
+0 0 2 0 0 36 48 54 1.5
+0 0 2 0 0 36 48 55 1.35
+0 0 2 0 0 36 48 56 1.2
+0 0 2 0 0 36 48 57 1.05
+0 0 2 0 0 36 48 58 0.9
+0 0 2 0 0 36 48 59 0.75
+0 0 2 0 0 36 48 60 0.6
+0 0 2 0 0 36 48 61 0.45
+0 0 2 0 0 36 48 62 0.3
+0 0 2 0 0 36 48 63 0.15
+0 0 2 0 0 36 48 64 6.2803698347351e-16
+0 0 2 0 0 36 48 65 0.15
+0 0 2 0 0 36 48 66 0.3
+0 0 2 0 0 36 48 67 0.45
+0 0 2 0 0 36 48 68 0.6
+0 0 2 0 0 36 48 69 0.75
+0 0 2 0 0 36 48 70 0.9
+0 0 2 0 0 36 48 71 1.05
+0 0 2 0 0 36 48 72 1.2
+0 0 2 0 0 36 48 73 1.35
+0 0 2 0 0 36 48 74 1.5
+0 0 2 0 0 36 48 75 1.65
+0 0 2 0 0 36 48 76 1.8
+0 0 2 0 0 36 48 77 1.95
+0 0 2 0 0 36 48 78 2.1
+0 0 2 0 0 36 48 79 2.25
+0 0 2 0 0 36 48 80 2.4
+0 0 2 0 0 36 48 81 2.55
+0 0 2 0 0 36 48 82 2.7
+0 0 2 0 0 36 48 83 2.85
+0 0 2 0 0 36 48 84 3
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 4.5
+0 0 1 0 0 36 48 36 4.2
+0 0 1 0 0 36 48 38 3.9
+0 0 1 0 0 36 48 40 3.6
+0 0 1 0 0 36 48 42 3.3
+0 0 1 0 0 36 48 44 3
+0 0 1 0 0 36 48 46 2.7
+0 0 1 0 0 36 48 48 2.4
+0 0 1 0 0 36 48 50 2.1
+0 0 1 0 0 36 48 52 1.8
+0 0 1 0 0 36 48 54 1.5
+0 0 1 0 0 36 48 56 1.2
+0 0 1 0 0 36 48 58 0.9
+0 0 1 0 0 36 48 60 0.6
+0 0 1 0 0 36 48 62 0.3
+0 0 1 0 0 36 48 64 6.2803698347351e-16
+0 0 1 0 0 36 48 66 0.3
+0 0 1 0 0 36 48 68 0.6
+0 0 1 0 0 36 48 70 0.9
+0 0 1 0 0 36 48 72 1.2
+0 0 1 0 0 36 48 74 1.5
+0 0 1 0 0 36 48 76 1.8
+0 0 1 0 0 36 48 78 2.1
+0 0 1 0 0 36 48 80 2.4
+0 0 1 0 0 36 48 82 2.7
+0 0 1 0 0 36 48 84 3
+0 0 1 0 0 36 48 86 3.3
+0 0 1 0 0 36 48 88 3.6
+0 0 1 0 0 36 48 90 3.9
+0 0 1 0 0 36 48 92 4.2
+0 0 1 0 0 36 48 94 4.5
+0 0 1 0 0 36 48 96 4.8
+0 0 1 0 0 36 48 98 5.1
+0 0 1 0 0 36 48 100 5.4
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 9.6
+0 0 0 0 0 36 48 4 9
+0 0 0 0 0 36 48 8 8.4
+0 0 0 0 0 36 48 12 7.8
+0 0 0 0 0 36 48 16 7.2
+0 0 0 0 0 36 48 20 6.6
+0 0 0 0 0 36 48 24 6
+0 0 0 0 0 36 48 28 5.4
+0 0 0 0 0 36 48 32 4.8
+0 0 0 0 0 36 48 36 4.2
+0 0 0 0 0 36 48 40 3.6
+0 0 0 0 0 36 48 44 3
+0 0 0 0 0 36 48 48 2.4
+0 0 0 0 0 36 48 52 1.8
+0 0 0 0 0 36 48 56 1.2
+0 0 0 0 0 36 48 60 0.6
+0 0 0 0 0 36 48 64 6.2803698347351e-16
+0 0 0 0 0 36 48 68 0.6
+0 0 0 0 0 36 48 72 1.2
+0 0 0 0 0 36 48 76 1.8
+0 0 0 0 0 36 48 80 2.4
+0 0 0 0 0 36 48 84 3
+0 0 0 0 0 36 48 88 3.6
+0 0 0 0 0 36 48 92 4.2
+0 0 0 0 0 36 48 96 4.8
+0 0 0 0 0 36 48 100 5.4
+0 0 0 0 0 36 48 104 6
+0 0 0 0 0 36 48 108 6.6
+0 0 0 0 0 36 48 112 7.2
+0 0 0 0 0 36 48 116 7.8
+0 0 0 0 0 36 48 120 8.4
+0 0 0 0 0 36 48 124 9
+0 0 0 0 0 36 48 128 9.6
+0 0 0 0 0 36 48 132 10.2
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 1.95
+1 0 2 0 0 36 48 52 1.8
+1 0 2 0 0 36 48 53 1.65
+1 0 2 0 0 36 48 54 1.5
+1 0 2 0 0 36 48 55 1.35
+1 0 2 0 0 36 48 56 1.2
+1 0 2 0 0 36 48 57 1.05
+1 0 2 0 0 36 48 58 0.9
+1 0 2 0 0 36 48 59 0.75
+1 0 2 0 0 36 48 60 0.6
+1 0 2 0 0 36 48 61 0.45
+1 0 2 0 0 36 48 62 0.3
+1 0 2 0 0 36 48 63 0.15
+1 0 2 0 0 36 48 64 6.2803698347351e-16
+1 0 2 0 0 36 48 65 0.15
+1 0 2 0 0 36 48 66 0.3
+1 0 2 0 0 36 48 67 0.45
+1 0 2 0 0 36 48 68 0.6
+1 0 2 0 0 36 48 69 0.75
+1 0 2 0 0 36 48 70 0.9
+1 0 2 0 0 36 48 71 1.05
+1 0 2 0 0 36 48 72 1.2
+1 0 2 0 0 36 48 73 1.35
+1 0 2 0 0 36 48 74 1.5
+1 0 2 0 0 36 48 75 1.65
+1 0 2 0 0 36 48 76 1.8
+1 0 2 0 0 36 48 77 1.95
+1 0 2 0 0 36 48 78 2.1
+1 0 2 0 0 36 48 79 2.25
+1 0 2 0 0 36 48 80 2.4
+1 0 2 0 0 36 48 81 2.55
+1 0 2 0 0 36 48 82 2.7
+1 0 2 0 0 36 48 83 2.85
+1 0 2 0 0 36 48 84 3
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 1.95
+2 0 2 0 0 36 48 52 1.8
+2 0 2 0 0 36 48 53 1.65
+2 0 2 0 0 36 48 54 1.5
+2 0 2 0 0 36 48 55 1.35
+2 0 2 0 0 36 48 56 1.2
+2 0 2 0 0 36 48 57 1.05
+2 0 2 0 0 36 48 58 0.9
+2 0 2 0 0 36 48 59 0.75
+2 0 2 0 0 36 48 60 0.6
+2 0 2 0 0 36 48 61 0.45
+2 0 2 0 0 36 48 62 0.3
+2 0 2 0 0 36 48 63 0.15
+2 0 2 0 0 36 48 64 6.2803698347351e-16
+2 0 2 0 0 36 48 65 0.15
+2 0 2 0 0 36 48 66 0.3
+2 0 2 0 0 36 48 67 0.45
+2 0 2 0 0 36 48 68 0.6
+2 0 2 0 0 36 48 69 0.75
+2 0 2 0 0 36 48 70 0.9
+2 0 2 0 0 36 48 71 1.05
+2 0 2 0 0 36 48 72 1.2
+2 0 2 0 0 36 48 73 1.35
+2 0 2 0 0 36 48 74 1.5
+2 0 2 0 0 36 48 75 1.65
+2 0 2 0 0 36 48 76 1.8
+2 0 2 0 0 36 48 77 1.95
+2 0 2 0 0 36 48 78 2.1
+2 0 2 0 0 36 48 79 2.25
+2 0 2 0 0 36 48 80 2.4
+2 0 2 0 0 36 48 81 2.55
+2 0 2 0 0 36 48 82 2.7
+2 0 2 0 0 36 48 83 2.85
+2 0 2 0 0 36 48 84 3
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 4.5
+2 0 1 0 0 36 48 36 4.2
+2 0 1 0 0 36 48 38 3.9
+2 0 1 0 0 36 48 40 3.6
+2 0 1 0 0 36 48 42 3.3
+2 0 1 0 0 36 48 44 3
+2 0 1 0 0 36 48 46 2.7
+2 0 1 0 0 36 48 48 2.4
+2 0 1 0 0 36 48 50 2.1
+2 0 1 0 0 36 48 52 1.8
+2 0 1 0 0 36 48 54 1.5
+2 0 1 0 0 36 48 56 1.2
+2 0 1 0 0 36 48 58 0.9
+2 0 1 0 0 36 48 60 0.6
+2 0 1 0 0 36 48 62 0.3
+2 0 1 0 0 36 48 64 6.2803698347351e-16
+2 0 1 0 0 36 48 66 0.3
+2 0 1 0 0 36 48 68 0.6
+2 0 1 0 0 36 48 70 0.9
+2 0 1 0 0 36 48 72 1.2
+2 0 1 0 0 36 48 74 1.5
+2 0 1 0 0 36 48 76 1.8
+2 0 1 0 0 36 48 78 2.1
+2 0 1 0 0 36 48 80 2.4
+2 0 1 0 0 36 48 82 2.7
+2 0 1 0 0 36 48 84 3
+2 0 1 0 0 36 48 86 3.3
+2 0 1 0 0 36 48 88 3.6
+2 0 1 0 0 36 48 90 3.9
+2 0 1 0 0 36 48 92 4.2
+2 0 1 0 0 36 48 94 4.5
+2 0 1 0 0 36 48 96 4.8
+2 0 1 0 0 36 48 98 5.1
+2 0 1 0 0 36 48 100 5.4
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 1.95
+3 0 2 0 0 36 48 52 1.8
+3 0 2 0 0 36 48 53 1.65
+3 0 2 0 0 36 48 54 1.5
+3 0 2 0 0 36 48 55 1.35
+3 0 2 0 0 36 48 56 1.2
+3 0 2 0 0 36 48 57 1.05
+3 0 2 0 0 36 48 58 0.9
+3 0 2 0 0 36 48 59 0.75
+3 0 2 0 0 36 48 60 0.6
+3 0 2 0 0 36 48 61 0.45
+3 0 2 0 0 36 48 62 0.3
+3 0 2 0 0 36 48 63 0.15
+3 0 2 0 0 36 48 64 6.2803698347351e-16
+3 0 2 0 0 36 48 65 0.15
+3 0 2 0 0 36 48 66 0.3
+3 0 2 0 0 36 48 67 0.45
+3 0 2 0 0 36 48 68 0.6
+3 0 2 0 0 36 48 69 0.75
+3 0 2 0 0 36 48 70 0.9
+3 0 2 0 0 36 48 71 1.05
+3 0 2 0 0 36 48 72 1.2
+3 0 2 0 0 36 48 73 1.35
+3 0 2 0 0 36 48 74 1.5
+3 0 2 0 0 36 48 75 1.65
+3 0 2 0 0 36 48 76 1.8
+3 0 2 0 0 36 48 77 1.95
+3 0 2 0 0 36 48 78 2.1
+3 0 2 0 0 36 48 79 2.25
+3 0 2 0 0 36 48 80 2.4
+3 0 2 0 0 36 48 81 2.55
+3 0 2 0 0 36 48 82 2.7
+3 0 2 0 0 36 48 83 2.85
+3 0 2 0 0 36 48 84 3
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 1.95
+4 0 2 0 0 36 48 52 1.8
+4 0 2 0 0 36 48 53 1.65
+4 0 2 0 0 36 48 54 1.5
+4 0 2 0 0 36 48 55 1.35
+4 0 2 0 0 36 48 56 1.2
+4 0 2 0 0 36 48 57 1.05
+4 0 2 0 0 36 48 58 0.9
+4 0 2 0 0 36 48 59 0.75
+4 0 2 0 0 36 48 60 0.6
+4 0 2 0 0 36 48 61 0.45
+4 0 2 0 0 36 48 62 0.3
+4 0 2 0 0 36 48 63 0.15
+4 0 2 0 0 36 48 64 6.2803698347351e-16
+4 0 2 0 0 36 48 65 0.15
+4 0 2 0 0 36 48 66 0.3
+4 0 2 0 0 36 48 67 0.45
+4 0 2 0 0 36 48 68 0.6
+4 0 2 0 0 36 48 69 0.75
+4 0 2 0 0 36 48 70 0.9
+4 0 2 0 0 36 48 71 1.05
+4 0 2 0 0 36 48 72 1.2
+4 0 2 0 0 36 48 73 1.35
+4 0 2 0 0 36 48 74 1.5
+4 0 2 0 0 36 48 75 1.65
+4 0 2 0 0 36 48 76 1.8
+4 0 2 0 0 36 48 77 1.95
+4 0 2 0 0 36 48 78 2.1
+4 0 2 0 0 36 48 79 2.25
+4 0 2 0 0 36 48 80 2.4
+4 0 2 0 0 36 48 81 2.55
+4 0 2 0 0 36 48 82 2.7
+4 0 2 0 0 36 48 83 2.85
+4 0 2 0 0 36 48 84 3
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 4.5
+4 0 1 0 0 36 48 36 4.2
+4 0 1 0 0 36 48 38 3.9
+4 0 1 0 0 36 48 40 3.6
+4 0 1 0 0 36 48 42 3.3
+4 0 1 0 0 36 48 44 3
+4 0 1 0 0 36 48 46 2.7
+4 0 1 0 0 36 48 48 2.4
+4 0 1 0 0 36 48 50 2.1
+4 0 1 0 0 36 48 52 1.8
+4 0 1 0 0 36 48 54 1.5
+4 0 1 0 0 36 48 56 1.2
+4 0 1 0 0 36 48 58 0.9
+4 0 1 0 0 36 48 60 0.6
+4 0 1 0 0 36 48 62 0.3
+4 0 1 0 0 36 48 64 6.2803698347351e-16
+4 0 1 0 0 36 48 66 0.3
+4 0 1 0 0 36 48 68 0.6
+4 0 1 0 0 36 48 70 0.9
+4 0 1 0 0 36 48 72 1.2
+4 0 1 0 0 36 48 74 1.5
+4 0 1 0 0 36 48 76 1.8
+4 0 1 0 0 36 48 78 2.1
+4 0 1 0 0 36 48 80 2.4
+4 0 1 0 0 36 48 82 2.7
+4 0 1 0 0 36 48 84 3
+4 0 1 0 0 36 48 86 3.3
+4 0 1 0 0 36 48 88 3.6
+4 0 1 0 0 36 48 90 3.9
+4 0 1 0 0 36 48 92 4.2
+4 0 1 0 0 36 48 94 4.5
+4 0 1 0 0 36 48 96 4.8
+4 0 1 0 0 36 48 98 5.1
+4 0 1 0 0 36 48 100 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 9.6
+4 0 0 0 0 36 48 4 9
+4 0 0 0 0 36 48 8 8.4
+4 0 0 0 0 36 48 12 7.8
+4 0 0 0 0 36 48 16 7.2
+4 0 0 0 0 36 48 20 6.6
+4 0 0 0 0 36 48 24 6
+4 0 0 0 0 36 48 28 5.4
+4 0 0 0 0 36 48 32 4.8
+4 0 0 0 0 36 48 36 4.2
+4 0 0 0 0 36 48 40 3.6
+4 0 0 0 0 36 48 44 3
+4 0 0 0 0 36 48 48 2.4
+4 0 0 0 0 36 48 52 1.8
+4 0 0 0 0 36 48 56 1.2
+4 0 0 0 0 36 48 60 0.6
+4 0 0 0 0 36 48 64 6.2803698347351e-16
+4 0 0 0 0 36 48 68 0.6
+4 0 0 0 0 36 48 72 1.2
+4 0 0 0 0 36 48 76 1.8
+4 0 0 0 0 36 48 80 2.4
+4 0 0 0 0 36 48 84 3
+4 0 0 0 0 36 48 88 3.6
+4 0 0 0 0 36 48 92 4.2
+4 0 0 0 0 36 48 96 4.8
+4 0 0 0 0 36 48 100 5.4
+4 0 0 0 0 36 48 104 6
+4 0 0 0 0 36 48 108 6.6
+4 0 0 0 0 36 48 112 7.2
+4 0 0 0 0 36 48 116 7.8
+4 0 0 0 0 36 48 120 8.4
+4 0 0 0 0 36 48 124 9
+4 0 0 0 0 36 48 128 9.6
+4 0 0 0 0 36 48 132 10.2
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 1.95
+5 0 2 0 0 36 48 52 1.8
+5 0 2 0 0 36 48 53 1.65
+5 0 2 0 0 36 48 54 1.5
+5 0 2 0 0 36 48 55 1.35
+5 0 2 0 0 36 48 56 1.2
+5 0 2 0 0 36 48 57 1.05
+5 0 2 0 0 36 48 58 0.9
+5 0 2 0 0 36 48 59 0.75
+5 0 2 0 0 36 48 60 0.6
+5 0 2 0 0 36 48 61 0.45
+5 0 2 0 0 36 48 62 0.3
+5 0 2 0 0 36 48 63 0.15
+5 0 2 0 0 36 48 64 6.2803698347351e-16
+5 0 2 0 0 36 48 65 0.15
+5 0 2 0 0 36 48 66 0.3
+5 0 2 0 0 36 48 67 0.45
+5 0 2 0 0 36 48 68 0.6
+5 0 2 0 0 36 48 69 0.75
+5 0 2 0 0 36 48 70 0.9
+5 0 2 0 0 36 48 71 1.05
+5 0 2 0 0 36 48 72 1.2
+5 0 2 0 0 36 48 73 1.35
+5 0 2 0 0 36 48 74 1.5
+5 0 2 0 0 36 48 75 1.65
+5 0 2 0 0 36 48 76 1.8
+5 0 2 0 0 36 48 77 1.95
+5 0 2 0 0 36 48 78 2.1
+5 0 2 0 0 36 48 79 2.25
+5 0 2 0 0 36 48 80 2.4
+5 0 2 0 0 36 48 81 2.55
+5 0 2 0 0 36 48 82 2.7
+5 0 2 0 0 36 48 83 2.85
+5 0 2 0 0 36 48 84 3
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 1.95
+6 0 2 0 0 36 48 52 1.8
+6 0 2 0 0 36 48 53 1.65
+6 0 2 0 0 36 48 54 1.5
+6 0 2 0 0 36 48 55 1.35
+6 0 2 0 0 36 48 56 1.2
+6 0 2 0 0 36 48 57 1.05
+6 0 2 0 0 36 48 58 0.9
+6 0 2 0 0 36 48 59 0.75
+6 0 2 0 0 36 48 60 0.6
+6 0 2 0 0 36 48 61 0.45
+6 0 2 0 0 36 48 62 0.3
+6 0 2 0 0 36 48 63 0.15
+6 0 2 0 0 36 48 64 6.2803698347351e-16
+6 0 2 0 0 36 48 65 0.15
+6 0 2 0 0 36 48 66 0.3
+6 0 2 0 0 36 48 67 0.45
+6 0 2 0 0 36 48 68 0.6
+6 0 2 0 0 36 48 69 0.75
+6 0 2 0 0 36 48 70 0.9
+6 0 2 0 0 36 48 71 1.05
+6 0 2 0 0 36 48 72 1.2
+6 0 2 0 0 36 48 73 1.35
+6 0 2 0 0 36 48 74 1.5
+6 0 2 0 0 36 48 75 1.65
+6 0 2 0 0 36 48 76 1.8
+6 0 2 0 0 36 48 77 1.95
+6 0 2 0 0 36 48 78 2.1
+6 0 2 0 0 36 48 79 2.25
+6 0 2 0 0 36 48 80 2.4
+6 0 2 0 0 36 48 81 2.55
+6 0 2 0 0 36 48 82 2.7
+6 0 2 0 0 36 48 83 2.85
+6 0 2 0 0 36 48 84 3
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 4.5
+6 0 1 0 0 36 48 36 4.2
+6 0 1 0 0 36 48 38 3.9
+6 0 1 0 0 36 48 40 3.6
+6 0 1 0 0 36 48 42 3.3
+6 0 1 0 0 36 48 44 3
+6 0 1 0 0 36 48 46 2.7
+6 0 1 0 0 36 48 48 2.4
+6 0 1 0 0 36 48 50 2.1
+6 0 1 0 0 36 48 52 1.8
+6 0 1 0 0 36 48 54 1.5
+6 0 1 0 0 36 48 56 1.2
+6 0 1 0 0 36 48 58 0.9
+6 0 1 0 0 36 48 60 0.6
+6 0 1 0 0 36 48 62 0.3
+6 0 1 0 0 36 48 64 6.2803698347351e-16
+6 0 1 0 0 36 48 66 0.3
+6 0 1 0 0 36 48 68 0.6
+6 0 1 0 0 36 48 70 0.9
+6 0 1 0 0 36 48 72 1.2
+6 0 1 0 0 36 48 74 1.5
+6 0 1 0 0 36 48 76 1.8
+6 0 1 0 0 36 48 78 2.1
+6 0 1 0 0 36 48 80 2.4
+6 0 1 0 0 36 48 82 2.7
+6 0 1 0 0 36 48 84 3
+6 0 1 0 0 36 48 86 3.3
+6 0 1 0 0 36 48 88 3.6
+6 0 1 0 0 36 48 90 3.9
+6 0 1 0 0 36 48 92 4.2
+6 0 1 0 0 36 48 94 4.5
+6 0 1 0 0 36 48 96 4.8
+6 0 1 0 0 36 48 98 5.1
+6 0 1 0 0 36 48 100 5.4
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 1.95
+7 0 2 0 0 36 48 52 1.8
+7 0 2 0 0 36 48 53 1.65
+7 0 2 0 0 36 48 54 1.5
+7 0 2 0 0 36 48 55 1.35
+7 0 2 0 0 36 48 56 1.2
+7 0 2 0 0 36 48 57 1.05
+7 0 2 0 0 36 48 58 0.9
+7 0 2 0 0 36 48 59 0.75
+7 0 2 0 0 36 48 60 0.6
+7 0 2 0 0 36 48 61 0.45
+7 0 2 0 0 36 48 62 0.3
+7 0 2 0 0 36 48 63 0.15
+7 0 2 0 0 36 48 64 6.2803698347351e-16
+7 0 2 0 0 36 48 65 0.15
+7 0 2 0 0 36 48 66 0.3
+7 0 2 0 0 36 48 67 0.45
+7 0 2 0 0 36 48 68 0.6
+7 0 2 0 0 36 48 69 0.75
+7 0 2 0 0 36 48 70 0.9
+7 0 2 0 0 36 48 71 1.05
+7 0 2 0 0 36 48 72 1.2
+7 0 2 0 0 36 48 73 1.35
+7 0 2 0 0 36 48 74 1.5
+7 0 2 0 0 36 48 75 1.65
+7 0 2 0 0 36 48 76 1.8
+7 0 2 0 0 36 48 77 1.95
+7 0 2 0 0 36 48 78 2.1
+7 0 2 0 0 36 48 79 2.25
+7 0 2 0 0 36 48 80 2.4
+7 0 2 0 0 36 48 81 2.55
+7 0 2 0 0 36 48 82 2.7
+7 0 2 0 0 36 48 83 2.85
+7 0 2 0 0 36 48 84 3
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 1.95
+8 0 2 0 0 36 48 52 1.8
+8 0 2 0 0 36 48 53 1.65
+8 0 2 0 0 36 48 54 1.5
+8 0 2 0 0 36 48 55 1.35
+8 0 2 0 0 36 48 56 1.2
+8 0 2 0 0 36 48 57 1.05
+8 0 2 0 0 36 48 58 0.9
+8 0 2 0 0 36 48 59 0.75
+8 0 2 0 0 36 48 60 0.6
+8 0 2 0 0 36 48 61 0.45
+8 0 2 0 0 36 48 62 0.3
+8 0 2 0 0 36 48 63 0.15
+8 0 2 0 0 36 48 64 6.2803698347351e-16
+8 0 2 0 0 36 48 65 0.15
+8 0 2 0 0 36 48 66 0.3
+8 0 2 0 0 36 48 67 0.45
+8 0 2 0 0 36 48 68 0.6
+8 0 2 0 0 36 48 69 0.75
+8 0 2 0 0 36 48 70 0.9
+8 0 2 0 0 36 48 71 1.05
+8 0 2 0 0 36 48 72 1.2
+8 0 2 0 0 36 48 73 1.35
+8 0 2 0 0 36 48 74 1.5
+8 0 2 0 0 36 48 75 1.65
+8 0 2 0 0 36 48 76 1.8
+8 0 2 0 0 36 48 77 1.95
+8 0 2 0 0 36 48 78 2.1
+8 0 2 0 0 36 48 79 2.25
+8 0 2 0 0 36 48 80 2.4
+8 0 2 0 0 36 48 81 2.55
+8 0 2 0 0 36 48 82 2.7
+8 0 2 0 0 36 48 83 2.85
+8 0 2 0 0 36 48 84 3
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 4.5
+8 0 1 0 0 36 48 36 4.2
+8 0 1 0 0 36 48 38 3.9
+8 0 1 0 0 36 48 40 3.6
+8 0 1 0 0 36 48 42 3.3
+8 0 1 0 0 36 48 44 3
+8 0 1 0 0 36 48 46 2.7
+8 0 1 0 0 36 48 48 2.4
+8 0 1 0 0 36 48 50 2.1
+8 0 1 0 0 36 48 52 1.8
+8 0 1 0 0 36 48 54 1.5
+8 0 1 0 0 36 48 56 1.2
+8 0 1 0 0 36 48 58 0.9
+8 0 1 0 0 36 48 60 0.6
+8 0 1 0 0 36 48 62 0.3
+8 0 1 0 0 36 48 64 6.2803698347351e-16
+8 0 1 0 0 36 48 66 0.3
+8 0 1 0 0 36 48 68 0.6
+8 0 1 0 0 36 48 70 0.9
+8 0 1 0 0 36 48 72 1.2
+8 0 1 0 0 36 48 74 1.5
+8 0 1 0 0 36 48 76 1.8
+8 0 1 0 0 36 48 78 2.1
+8 0 1 0 0 36 48 80 2.4
+8 0 1 0 0 36 48 82 2.7
+8 0 1 0 0 36 48 84 3
+8 0 1 0 0 36 48 86 3.3
+8 0 1 0 0 36 48 88 3.6
+8 0 1 0 0 36 48 90 3.9
+8 0 1 0 0 36 48 92 4.2
+8 0 1 0 0 36 48 94 4.5
+8 0 1 0 0 36 48 96 4.8
+8 0 1 0 0 36 48 98 5.1
+8 0 1 0 0 36 48 100 5.4
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 9.6
+8 0 0 0 0 36 48 4 9
+8 0 0 0 0 36 48 8 8.4
+8 0 0 0 0 36 48 12 7.8
+8 0 0 0 0 36 48 16 7.2
+8 0 0 0 0 36 48 20 6.6
+8 0 0 0 0 36 48 24 6
+8 0 0 0 0 36 48 28 5.4
+8 0 0 0 0 36 48 32 4.8
+8 0 0 0 0 36 48 36 4.2
+8 0 0 0 0 36 48 40 3.6
+8 0 0 0 0 36 48 44 3
+8 0 0 0 0 36 48 48 2.4
+8 0 0 0 0 36 48 52 1.8
+8 0 0 0 0 36 48 56 1.2
+8 0 0 0 0 36 48 60 0.6
+8 0 0 0 0 36 48 64 6.2803698347351e-16
+8 0 0 0 0 36 48 68 0.6
+8 0 0 0 0 36 48 72 1.2
+8 0 0 0 0 36 48 76 1.8
+8 0 0 0 0 36 48 80 2.4
+8 0 0 0 0 36 48 84 3
+8 0 0 0 0 36 48 88 3.6
+8 0 0 0 0 36 48 92 4.2
+8 0 0 0 0 36 48 96 4.8
+8 0 0 0 0 36 48 100 5.4
+8 0 0 0 0 36 48 104 6
+8 0 0 0 0 36 48 108 6.6
+8 0 0 0 0 36 48 112 7.2
+8 0 0 0 0 36 48 116 7.8
+8 0 0 0 0 36 48 120 8.4
+8 0 0 0 0 36 48 124 9
+8 0 0 0 0 36 48 128 9.6
+8 0 0 0 0 36 48 132 10.2
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 1.95
+9 0 2 0 0 36 48 52 1.8
+9 0 2 0 0 36 48 53 1.65
+9 0 2 0 0 36 48 54 1.5
+9 0 2 0 0 36 48 55 1.35
+9 0 2 0 0 36 48 56 1.2
+9 0 2 0 0 36 48 57 1.05
+9 0 2 0 0 36 48 58 0.9
+9 0 2 0 0 36 48 59 0.75
+9 0 2 0 0 36 48 60 0.6
+9 0 2 0 0 36 48 61 0.45
+9 0 2 0 0 36 48 62 0.3
+9 0 2 0 0 36 48 63 0.15
+9 0 2 0 0 36 48 64 6.2803698347351e-16
+9 0 2 0 0 36 48 65 0.15
+9 0 2 0 0 36 48 66 0.3
+9 0 2 0 0 36 48 67 0.45
+9 0 2 0 0 36 48 68 0.6
+9 0 2 0 0 36 48 69 0.75
+9 0 2 0 0 36 48 70 0.9
+9 0 2 0 0 36 48 71 1.05
+9 0 2 0 0 36 48 72 1.2
+9 0 2 0 0 36 48 73 1.35
+9 0 2 0 0 36 48 74 1.5
+9 0 2 0 0 36 48 75 1.65
+9 0 2 0 0 36 48 76 1.8
+9 0 2 0 0 36 48 77 1.95
+9 0 2 0 0 36 48 78 2.1
+9 0 2 0 0 36 48 79 2.25
+9 0 2 0 0 36 48 80 2.4
+9 0 2 0 0 36 48 81 2.55
+9 0 2 0 0 36 48 82 2.7
+9 0 2 0 0 36 48 83 2.85
+9 0 2 0 0 36 48 84 3
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 1.95
+10 0 2 0 0 36 48 52 1.8
+10 0 2 0 0 36 48 53 1.65
+10 0 2 0 0 36 48 54 1.5
+10 0 2 0 0 36 48 55 1.35
+10 0 2 0 0 36 48 56 1.2
+10 0 2 0 0 36 48 57 1.05
+10 0 2 0 0 36 48 58 0.9
+10 0 2 0 0 36 48 59 0.75
+10 0 2 0 0 36 48 60 0.6
+10 0 2 0 0 36 48 61 0.45
+10 0 2 0 0 36 48 62 0.3
+10 0 2 0 0 36 48 63 0.15
+10 0 2 0 0 36 48 64 6.2803698347351e-16
+10 0 2 0 0 36 48 65 0.15
+10 0 2 0 0 36 48 66 0.3
+10 0 2 0 0 36 48 67 0.45
+10 0 2 0 0 36 48 68 0.6
+10 0 2 0 0 36 48 69 0.75
+10 0 2 0 0 36 48 70 0.9
+10 0 2 0 0 36 48 71 1.05
+10 0 2 0 0 36 48 72 1.2
+10 0 2 0 0 36 48 73 1.35
+10 0 2 0 0 36 48 74 1.5
+10 0 2 0 0 36 48 75 1.65
+10 0 2 0 0 36 48 76 1.8
+10 0 2 0 0 36 48 77 1.95
+10 0 2 0 0 36 48 78 2.1
+10 0 2 0 0 36 48 79 2.25
+10 0 2 0 0 36 48 80 2.4
+10 0 2 0 0 36 48 81 2.55
+10 0 2 0 0 36 48 82 2.7
+10 0 2 0 0 36 48 83 2.85
+10 0 2 0 0 36 48 84 3
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 4.5
+10 0 1 0 0 36 48 36 4.2
+10 0 1 0 0 36 48 38 3.9
+10 0 1 0 0 36 48 40 3.6
+10 0 1 0 0 36 48 42 3.3
+10 0 1 0 0 36 48 44 3
+10 0 1 0 0 36 48 46 2.7
+10 0 1 0 0 36 48 48 2.4
+10 0 1 0 0 36 48 50 2.1
+10 0 1 0 0 36 48 52 1.8
+10 0 1 0 0 36 48 54 1.5
+10 0 1 0 0 36 48 56 1.2
+10 0 1 0 0 36 48 58 0.9
+10 0 1 0 0 36 48 60 0.6
+10 0 1 0 0 36 48 62 0.3
+10 0 1 0 0 36 48 64 6.2803698347351e-16
+10 0 1 0 0 36 48 66 0.3
+10 0 1 0 0 36 48 68 0.6
+10 0 1 0 0 36 48 70 0.9
+10 0 1 0 0 36 48 72 1.2
+10 0 1 0 0 36 48 74 1.5
+10 0 1 0 0 36 48 76 1.8
+10 0 1 0 0 36 48 78 2.1
+10 0 1 0 0 36 48 80 2.4
+10 0 1 0 0 36 48 82 2.7
+10 0 1 0 0 36 48 84 3
+10 0 1 0 0 36 48 86 3.3
+10 0 1 0 0 36 48 88 3.6
+10 0 1 0 0 36 48 90 3.9
+10 0 1 0 0 36 48 92 4.2
+10 0 1 0 0 36 48 94 4.5
+10 0 1 0 0 36 48 96 4.8
+10 0 1 0 0 36 48 98 5.1
+10 0 1 0 0 36 48 100 5.4
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 1.95
+11 0 2 0 0 36 48 52 1.8
+11 0 2 0 0 36 48 53 1.65
+11 0 2 0 0 36 48 54 1.5
+11 0 2 0 0 36 48 55 1.35
+11 0 2 0 0 36 48 56 1.2
+11 0 2 0 0 36 48 57 1.05
+11 0 2 0 0 36 48 58 0.9
+11 0 2 0 0 36 48 59 0.75
+11 0 2 0 0 36 48 60 0.6
+11 0 2 0 0 36 48 61 0.45
+11 0 2 0 0 36 48 62 0.3
+11 0 2 0 0 36 48 63 0.15
+11 0 2 0 0 36 48 64 6.2803698347351e-16
+11 0 2 0 0 36 48 65 0.15
+11 0 2 0 0 36 48 66 0.3
+11 0 2 0 0 36 48 67 0.45
+11 0 2 0 0 36 48 68 0.6
+11 0 2 0 0 36 48 69 0.75
+11 0 2 0 0 36 48 70 0.9
+11 0 2 0 0 36 48 71 1.05
+11 0 2 0 0 36 48 72 1.2
+11 0 2 0 0 36 48 73 1.35
+11 0 2 0 0 36 48 74 1.5
+11 0 2 0 0 36 48 75 1.65
+11 0 2 0 0 36 48 76 1.8
+11 0 2 0 0 36 48 77 1.95
+11 0 2 0 0 36 48 78 2.1
+11 0 2 0 0 36 48 79 2.25
+11 0 2 0 0 36 48 80 2.4
+11 0 2 0 0 36 48 81 2.55
+11 0 2 0 0 36 48 82 2.7
+11 0 2 0 0 36 48 83 2.85
+11 0 2 0 0 36 48 84 3
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 1.95
+12 0 2 0 0 36 48 52 1.8
+12 0 2 0 0 36 48 53 1.65
+12 0 2 0 0 36 48 54 1.5
+12 0 2 0 0 36 48 55 1.35
+12 0 2 0 0 36 48 56 1.2
+12 0 2 0 0 36 48 57 1.05
+12 0 2 0 0 36 48 58 0.9
+12 0 2 0 0 36 48 59 0.75
+12 0 2 0 0 36 48 60 0.6
+12 0 2 0 0 36 48 61 0.45
+12 0 2 0 0 36 48 62 0.3
+12 0 2 0 0 36 48 63 0.15
+12 0 2 0 0 36 48 64 6.2803698347351e-16
+12 0 2 0 0 36 48 65 0.15
+12 0 2 0 0 36 48 66 0.3
+12 0 2 0 0 36 48 67 0.45
+12 0 2 0 0 36 48 68 0.6
+12 0 2 0 0 36 48 69 0.75
+12 0 2 0 0 36 48 70 0.9
+12 0 2 0 0 36 48 71 1.05
+12 0 2 0 0 36 48 72 1.2
+12 0 2 0 0 36 48 73 1.35
+12 0 2 0 0 36 48 74 1.5
+12 0 2 0 0 36 48 75 1.65
+12 0 2 0 0 36 48 76 1.8
+12 0 2 0 0 36 48 77 1.95
+12 0 2 0 0 36 48 78 2.1
+12 0 2 0 0 36 48 79 2.25
+12 0 2 0 0 36 48 80 2.4
+12 0 2 0 0 36 48 81 2.55
+12 0 2 0 0 36 48 82 2.7
+12 0 2 0 0 36 48 83 2.85
+12 0 2 0 0 36 48 84 3
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 4.5
+12 0 1 0 0 36 48 36 4.2
+12 0 1 0 0 36 48 38 3.9
+12 0 1 0 0 36 48 40 3.6
+12 0 1 0 0 36 48 42 3.3
+12 0 1 0 0 36 48 44 3
+12 0 1 0 0 36 48 46 2.7
+12 0 1 0 0 36 48 48 2.4
+12 0 1 0 0 36 48 50 2.1
+12 0 1 0 0 36 48 52 1.8
+12 0 1 0 0 36 48 54 1.5
+12 0 1 0 0 36 48 56 1.2
+12 0 1 0 0 36 48 58 0.9
+12 0 1 0 0 36 48 60 0.6
+12 0 1 0 0 36 48 62 0.3
+12 0 1 0 0 36 48 64 6.2803698347351e-16
+12 0 1 0 0 36 48 66 0.3
+12 0 1 0 0 36 48 68 0.6
+12 0 1 0 0 36 48 70 0.9
+12 0 1 0 0 36 48 72 1.2
+12 0 1 0 0 36 48 74 1.5
+12 0 1 0 0 36 48 76 1.8
+12 0 1 0 0 36 48 78 2.1
+12 0 1 0 0 36 48 80 2.4
+12 0 1 0 0 36 48 82 2.7
+12 0 1 0 0 36 48 84 3
+12 0 1 0 0 36 48 86 3.3
+12 0 1 0 0 36 48 88 3.6
+12 0 1 0 0 36 48 90 3.9
+12 0 1 0 0 36 48 92 4.2
+12 0 1 0 0 36 48 94 4.5
+12 0 1 0 0 36 48 96 4.8
+12 0 1 0 0 36 48 98 5.1
+12 0 1 0 0 36 48 100 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 9.6
+12 0 0 0 0 36 48 4 9
+12 0 0 0 0 36 48 8 8.4
+12 0 0 0 0 36 48 12 7.8
+12 0 0 0 0 36 48 16 7.2
+12 0 0 0 0 36 48 20 6.6
+12 0 0 0 0 36 48 24 6
+12 0 0 0 0 36 48 28 5.4
+12 0 0 0 0 36 48 32 4.8
+12 0 0 0 0 36 48 36 4.2
+12 0 0 0 0 36 48 40 3.6
+12 0 0 0 0 36 48 44 3
+12 0 0 0 0 36 48 48 2.4
+12 0 0 0 0 36 48 52 1.8
+12 0 0 0 0 36 48 56 1.2
+12 0 0 0 0 36 48 60 0.6
+12 0 0 0 0 36 48 64 6.2803698347351e-16
+12 0 0 0 0 36 48 68 0.6
+12 0 0 0 0 36 48 72 1.2
+12 0 0 0 0 36 48 76 1.8
+12 0 0 0 0 36 48 80 2.4
+12 0 0 0 0 36 48 84 3
+12 0 0 0 0 36 48 88 3.6
+12 0 0 0 0 36 48 92 4.2
+12 0 0 0 0 36 48 96 4.8
+12 0 0 0 0 36 48 100 5.4
+12 0 0 0 0 36 48 104 6
+12 0 0 0 0 36 48 108 6.6
+12 0 0 0 0 36 48 112 7.2
+12 0 0 0 0 36 48 116 7.8
+12 0 0 0 0 36 48 120 8.4
+12 0 0 0 0 36 48 124 9
+12 0 0 0 0 36 48 128 9.6
+12 0 0 0 0 36 48 132 10.2
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 1.95
+13 0 2 0 0 36 48 52 1.8
+13 0 2 0 0 36 48 53 1.65
+13 0 2 0 0 36 48 54 1.5
+13 0 2 0 0 36 48 55 1.35
+13 0 2 0 0 36 48 56 1.2
+13 0 2 0 0 36 48 57 1.05
+13 0 2 0 0 36 48 58 0.9
+13 0 2 0 0 36 48 59 0.75
+13 0 2 0 0 36 48 60 0.6
+13 0 2 0 0 36 48 61 0.45
+13 0 2 0 0 36 48 62 0.3
+13 0 2 0 0 36 48 63 0.15
+13 0 2 0 0 36 48 64 6.2803698347351e-16
+13 0 2 0 0 36 48 65 0.15
+13 0 2 0 0 36 48 66 0.3
+13 0 2 0 0 36 48 67 0.45
+13 0 2 0 0 36 48 68 0.6
+13 0 2 0 0 36 48 69 0.75
+13 0 2 0 0 36 48 70 0.9
+13 0 2 0 0 36 48 71 1.05
+13 0 2 0 0 36 48 72 1.2
+13 0 2 0 0 36 48 73 1.35
+13 0 2 0 0 36 48 74 1.5
+13 0 2 0 0 36 48 75 1.65
+13 0 2 0 0 36 48 76 1.8
+13 0 2 0 0 36 48 77 1.95
+13 0 2 0 0 36 48 78 2.1
+13 0 2 0 0 36 48 79 2.25
+13 0 2 0 0 36 48 80 2.4
+13 0 2 0 0 36 48 81 2.55
+13 0 2 0 0 36 48 82 2.7
+13 0 2 0 0 36 48 83 2.85
+13 0 2 0 0 36 48 84 3
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 1.95
+14 0 2 0 0 36 48 52 1.8
+14 0 2 0 0 36 48 53 1.65
+14 0 2 0 0 36 48 54 1.5
+14 0 2 0 0 36 48 55 1.35
+14 0 2 0 0 36 48 56 1.2
+14 0 2 0 0 36 48 57 1.05
+14 0 2 0 0 36 48 58 0.9
+14 0 2 0 0 36 48 59 0.75
+14 0 2 0 0 36 48 60 0.6
+14 0 2 0 0 36 48 61 0.45
+14 0 2 0 0 36 48 62 0.3
+14 0 2 0 0 36 48 63 0.15
+14 0 2 0 0 36 48 64 6.2803698347351e-16
+14 0 2 0 0 36 48 65 0.15
+14 0 2 0 0 36 48 66 0.3
+14 0 2 0 0 36 48 67 0.45
+14 0 2 0 0 36 48 68 0.6
+14 0 2 0 0 36 48 69 0.75
+14 0 2 0 0 36 48 70 0.9
+14 0 2 0 0 36 48 71 1.05
+14 0 2 0 0 36 48 72 1.2
+14 0 2 0 0 36 48 73 1.35
+14 0 2 0 0 36 48 74 1.5
+14 0 2 0 0 36 48 75 1.65
+14 0 2 0 0 36 48 76 1.8
+14 0 2 0 0 36 48 77 1.95
+14 0 2 0 0 36 48 78 2.1
+14 0 2 0 0 36 48 79 2.25
+14 0 2 0 0 36 48 80 2.4
+14 0 2 0 0 36 48 81 2.55
+14 0 2 0 0 36 48 82 2.7
+14 0 2 0 0 36 48 83 2.85
+14 0 2 0 0 36 48 84 3
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 4.5
+14 0 1 0 0 36 48 36 4.2
+14 0 1 0 0 36 48 38 3.9
+14 0 1 0 0 36 48 40 3.6
+14 0 1 0 0 36 48 42 3.3
+14 0 1 0 0 36 48 44 3
+14 0 1 0 0 36 48 46 2.7
+14 0 1 0 0 36 48 48 2.4
+14 0 1 0 0 36 48 50 2.1
+14 0 1 0 0 36 48 52 1.8
+14 0 1 0 0 36 48 54 1.5
+14 0 1 0 0 36 48 56 1.2
+14 0 1 0 0 36 48 58 0.9
+14 0 1 0 0 36 48 60 0.6
+14 0 1 0 0 36 48 62 0.3
+14 0 1 0 0 36 48 64 6.2803698347351e-16
+14 0 1 0 0 36 48 66 0.3
+14 0 1 0 0 36 48 68 0.6
+14 0 1 0 0 36 48 70 0.9
+14 0 1 0 0 36 48 72 1.2
+14 0 1 0 0 36 48 74 1.5
+14 0 1 0 0 36 48 76 1.8
+14 0 1 0 0 36 48 78 2.1
+14 0 1 0 0 36 48 80 2.4
+14 0 1 0 0 36 48 82 2.7
+14 0 1 0 0 36 48 84 3
+14 0 1 0 0 36 48 86 3.3
+14 0 1 0 0 36 48 88 3.6
+14 0 1 0 0 36 48 90 3.9
+14 0 1 0 0 36 48 92 4.2
+14 0 1 0 0 36 48 94 4.5
+14 0 1 0 0 36 48 96 4.8
+14 0 1 0 0 36 48 98 5.1
+14 0 1 0 0 36 48 100 5.4
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 1.95
+15 0 2 0 0 36 48 52 1.8
+15 0 2 0 0 36 48 53 1.65
+15 0 2 0 0 36 48 54 1.5
+15 0 2 0 0 36 48 55 1.35
+15 0 2 0 0 36 48 56 1.2
+15 0 2 0 0 36 48 57 1.05
+15 0 2 0 0 36 48 58 0.9
+15 0 2 0 0 36 48 59 0.75
+15 0 2 0 0 36 48 60 0.6
+15 0 2 0 0 36 48 61 0.45
+15 0 2 0 0 36 48 62 0.3
+15 0 2 0 0 36 48 63 0.15
+15 0 2 0 0 36 48 64 6.2803698347351e-16
+15 0 2 0 0 36 48 65 0.15
+15 0 2 0 0 36 48 66 0.3
+15 0 2 0 0 36 48 67 0.45
+15 0 2 0 0 36 48 68 0.6
+15 0 2 0 0 36 48 69 0.75
+15 0 2 0 0 36 48 70 0.9
+15 0 2 0 0 36 48 71 1.05
+15 0 2 0 0 36 48 72 1.2
+15 0 2 0 0 36 48 73 1.35
+15 0 2 0 0 36 48 74 1.5
+15 0 2 0 0 36 48 75 1.65
+15 0 2 0 0 36 48 76 1.8
+15 0 2 0 0 36 48 77 1.95
+15 0 2 0 0 36 48 78 2.1
+15 0 2 0 0 36 48 79 2.25
+15 0 2 0 0 36 48 80 2.4
+15 0 2 0 0 36 48 81 2.55
+15 0 2 0 0 36 48 82 2.7
+15 0 2 0 0 36 48 83 2.85
+15 0 2 0 0 36 48 84 3
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 1.95
+16 0 2 0 0 36 48 52 1.8
+16 0 2 0 0 36 48 53 1.65
+16 0 2 0 0 36 48 54 1.5
+16 0 2 0 0 36 48 55 1.35
+16 0 2 0 0 36 48 56 1.2
+16 0 2 0 0 36 48 57 1.05
+16 0 2 0 0 36 48 58 0.9
+16 0 2 0 0 36 48 59 0.75
+16 0 2 0 0 36 48 60 0.6
+16 0 2 0 0 36 48 61 0.45
+16 0 2 0 0 36 48 62 0.3
+16 0 2 0 0 36 48 63 0.15
+16 0 2 0 0 36 48 64 6.2803698347351e-16
+16 0 2 0 0 36 48 65 0.15
+16 0 2 0 0 36 48 66 0.3
+16 0 2 0 0 36 48 67 0.45
+16 0 2 0 0 36 48 68 0.6
+16 0 2 0 0 36 48 69 0.75
+16 0 2 0 0 36 48 70 0.9
+16 0 2 0 0 36 48 71 1.05
+16 0 2 0 0 36 48 72 1.2
+16 0 2 0 0 36 48 73 1.35
+16 0 2 0 0 36 48 74 1.5
+16 0 2 0 0 36 48 75 1.65
+16 0 2 0 0 36 48 76 1.8
+16 0 2 0 0 36 48 77 1.95
+16 0 2 0 0 36 48 78 2.1
+16 0 2 0 0 36 48 79 2.25
+16 0 2 0 0 36 48 80 2.4
+16 0 2 0 0 36 48 81 2.55
+16 0 2 0 0 36 48 82 2.7
+16 0 2 0 0 36 48 83 2.85
+16 0 2 0 0 36 48 84 3
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 4.5
+16 0 1 0 0 36 48 36 4.2
+16 0 1 0 0 36 48 38 3.9
+16 0 1 0 0 36 48 40 3.6
+16 0 1 0 0 36 48 42 3.3
+16 0 1 0 0 36 48 44 3
+16 0 1 0 0 36 48 46 2.7
+16 0 1 0 0 36 48 48 2.4
+16 0 1 0 0 36 48 50 2.1
+16 0 1 0 0 36 48 52 1.8
+16 0 1 0 0 36 48 54 1.5
+16 0 1 0 0 36 48 56 1.2
+16 0 1 0 0 36 48 58 0.9
+16 0 1 0 0 36 48 60 0.6
+16 0 1 0 0 36 48 62 0.3
+16 0 1 0 0 36 48 64 6.2803698347351e-16
+16 0 1 0 0 36 48 66 0.3
+16 0 1 0 0 36 48 68 0.6
+16 0 1 0 0 36 48 70 0.9
+16 0 1 0 0 36 48 72 1.2
+16 0 1 0 0 36 48 74 1.5
+16 0 1 0 0 36 48 76 1.8
+16 0 1 0 0 36 48 78 2.1
+16 0 1 0 0 36 48 80 2.4
+16 0 1 0 0 36 48 82 2.7
+16 0 1 0 0 36 48 84 3
+16 0 1 0 0 36 48 86 3.3
+16 0 1 0 0 36 48 88 3.6
+16 0 1 0 0 36 48 90 3.9
+16 0 1 0 0 36 48 92 4.2
+16 0 1 0 0 36 48 94 4.5
+16 0 1 0 0 36 48 96 4.8
+16 0 1 0 0 36 48 98 5.1
+16 0 1 0 0 36 48 100 5.4
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 9.6
+16 0 0 0 0 36 48 4 9
+16 0 0 0 0 36 48 8 8.4
+16 0 0 0 0 36 48 12 7.8
+16 0 0 0 0 36 48 16 7.2
+16 0 0 0 0 36 48 20 6.6
+16 0 0 0 0 36 48 24 6
+16 0 0 0 0 36 48 28 5.4
+16 0 0 0 0 36 48 32 4.8
+16 0 0 0 0 36 48 36 4.2
+16 0 0 0 0 36 48 40 3.6
+16 0 0 0 0 36 48 44 3
+16 0 0 0 0 36 48 48 2.4
+16 0 0 0 0 36 48 52 1.8
+16 0 0 0 0 36 48 56 1.2
+16 0 0 0 0 36 48 60 0.6
+16 0 0 0 0 36 48 64 6.2803698347351e-16
+16 0 0 0 0 36 48 68 0.6
+16 0 0 0 0 36 48 72 1.2
+16 0 0 0 0 36 48 76 1.8
+16 0 0 0 0 36 48 80 2.4
+16 0 0 0 0 36 48 84 3
+16 0 0 0 0 36 48 88 3.6
+16 0 0 0 0 36 48 92 4.2
+16 0 0 0 0 36 48 96 4.8
+16 0 0 0 0 36 48 100 5.4
+16 0 0 0 0 36 48 104 6
+16 0 0 0 0 36 48 108 6.6
+16 0 0 0 0 36 48 112 7.2
+16 0 0 0 0 36 48 116 7.8
+16 0 0 0 0 36 48 120 8.4
+16 0 0 0 0 36 48 124 9
+16 0 0 0 0 36 48 128 9.6
+16 0 0 0 0 36 48 132 10.2
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 1.95
+17 0 2 0 0 36 48 52 1.8
+17 0 2 0 0 36 48 53 1.65
+17 0 2 0 0 36 48 54 1.5
+17 0 2 0 0 36 48 55 1.35
+17 0 2 0 0 36 48 56 1.2
+17 0 2 0 0 36 48 57 1.05
+17 0 2 0 0 36 48 58 0.9
+17 0 2 0 0 36 48 59 0.75
+17 0 2 0 0 36 48 60 0.6
+17 0 2 0 0 36 48 61 0.45
+17 0 2 0 0 36 48 62 0.3
+17 0 2 0 0 36 48 63 0.15
+17 0 2 0 0 36 48 64 6.2803698347351e-16
+17 0 2 0 0 36 48 65 0.15
+17 0 2 0 0 36 48 66 0.3
+17 0 2 0 0 36 48 67 0.45
+17 0 2 0 0 36 48 68 0.6
+17 0 2 0 0 36 48 69 0.75
+17 0 2 0 0 36 48 70 0.9
+17 0 2 0 0 36 48 71 1.05
+17 0 2 0 0 36 48 72 1.2
+17 0 2 0 0 36 48 73 1.35
+17 0 2 0 0 36 48 74 1.5
+17 0 2 0 0 36 48 75 1.65
+17 0 2 0 0 36 48 76 1.8
+17 0 2 0 0 36 48 77 1.95
+17 0 2 0 0 36 48 78 2.1
+17 0 2 0 0 36 48 79 2.25
+17 0 2 0 0 36 48 80 2.4
+17 0 2 0 0 36 48 81 2.55
+17 0 2 0 0 36 48 82 2.7
+17 0 2 0 0 36 48 83 2.85
+17 0 2 0 0 36 48 84 3
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 1.95
+18 0 2 0 0 36 48 52 1.8
+18 0 2 0 0 36 48 53 1.65
+18 0 2 0 0 36 48 54 1.5
+18 0 2 0 0 36 48 55 1.35
+18 0 2 0 0 36 48 56 1.2
+18 0 2 0 0 36 48 57 1.05
+18 0 2 0 0 36 48 58 0.9
+18 0 2 0 0 36 48 59 0.75
+18 0 2 0 0 36 48 60 0.6
+18 0 2 0 0 36 48 61 0.45
+18 0 2 0 0 36 48 62 0.3
+18 0 2 0 0 36 48 63 0.15
+18 0 2 0 0 36 48 64 6.2803698347351e-16
+18 0 2 0 0 36 48 65 0.15
+18 0 2 0 0 36 48 66 0.3
+18 0 2 0 0 36 48 67 0.45
+18 0 2 0 0 36 48 68 0.6
+18 0 2 0 0 36 48 69 0.75
+18 0 2 0 0 36 48 70 0.9
+18 0 2 0 0 36 48 71 1.05
+18 0 2 0 0 36 48 72 1.2
+18 0 2 0 0 36 48 73 1.35
+18 0 2 0 0 36 48 74 1.5
+18 0 2 0 0 36 48 75 1.65
+18 0 2 0 0 36 48 76 1.8
+18 0 2 0 0 36 48 77 1.95
+18 0 2 0 0 36 48 78 2.1
+18 0 2 0 0 36 48 79 2.25
+18 0 2 0 0 36 48 80 2.4
+18 0 2 0 0 36 48 81 2.55
+18 0 2 0 0 36 48 82 2.7
+18 0 2 0 0 36 48 83 2.85
+18 0 2 0 0 36 48 84 3
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 4.5
+18 0 1 0 0 36 48 36 4.2
+18 0 1 0 0 36 48 38 3.9
+18 0 1 0 0 36 48 40 3.6
+18 0 1 0 0 36 48 42 3.3
+18 0 1 0 0 36 48 44 3
+18 0 1 0 0 36 48 46 2.7
+18 0 1 0 0 36 48 48 2.4
+18 0 1 0 0 36 48 50 2.1
+18 0 1 0 0 36 48 52 1.8
+18 0 1 0 0 36 48 54 1.5
+18 0 1 0 0 36 48 56 1.2
+18 0 1 0 0 36 48 58 0.9
+18 0 1 0 0 36 48 60 0.6
+18 0 1 0 0 36 48 62 0.3
+18 0 1 0 0 36 48 64 6.2803698347351e-16
+18 0 1 0 0 36 48 66 0.3
+18 0 1 0 0 36 48 68 0.6
+18 0 1 0 0 36 48 70 0.9
+18 0 1 0 0 36 48 72 1.2
+18 0 1 0 0 36 48 74 1.5
+18 0 1 0 0 36 48 76 1.8
+18 0 1 0 0 36 48 78 2.1
+18 0 1 0 0 36 48 80 2.4
+18 0 1 0 0 36 48 82 2.7
+18 0 1 0 0 36 48 84 3
+18 0 1 0 0 36 48 86 3.3
+18 0 1 0 0 36 48 88 3.6
+18 0 1 0 0 36 48 90 3.9
+18 0 1 0 0 36 48 92 4.2
+18 0 1 0 0 36 48 94 4.5
+18 0 1 0 0 36 48 96 4.8
+18 0 1 0 0 36 48 98 5.1
+18 0 1 0 0 36 48 100 5.4
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 1.95
+19 0 2 0 0 36 48 52 1.8
+19 0 2 0 0 36 48 53 1.65
+19 0 2 0 0 36 48 54 1.5
+19 0 2 0 0 36 48 55 1.35
+19 0 2 0 0 36 48 56 1.2
+19 0 2 0 0 36 48 57 1.05
+19 0 2 0 0 36 48 58 0.9
+19 0 2 0 0 36 48 59 0.75
+19 0 2 0 0 36 48 60 0.6
+19 0 2 0 0 36 48 61 0.45
+19 0 2 0 0 36 48 62 0.3
+19 0 2 0 0 36 48 63 0.15
+19 0 2 0 0 36 48 64 6.2803698347351e-16
+19 0 2 0 0 36 48 65 0.15
+19 0 2 0 0 36 48 66 0.3
+19 0 2 0 0 36 48 67 0.45
+19 0 2 0 0 36 48 68 0.6
+19 0 2 0 0 36 48 69 0.75
+19 0 2 0 0 36 48 70 0.9
+19 0 2 0 0 36 48 71 1.05
+19 0 2 0 0 36 48 72 1.2
+19 0 2 0 0 36 48 73 1.35
+19 0 2 0 0 36 48 74 1.5
+19 0 2 0 0 36 48 75 1.65
+19 0 2 0 0 36 48 76 1.8
+19 0 2 0 0 36 48 77 1.95
+19 0 2 0 0 36 48 78 2.1
+19 0 2 0 0 36 48 79 2.25
+19 0 2 0 0 36 48 80 2.4
+19 0 2 0 0 36 48 81 2.55
+19 0 2 0 0 36 48 82 2.7
+19 0 2 0 0 36 48 83 2.85
+19 0 2 0 0 36 48 84 3
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 1.95
+20 0 2 0 0 36 48 52 1.8
+20 0 2 0 0 36 48 53 1.65
+20 0 2 0 0 36 48 54 1.5
+20 0 2 0 0 36 48 55 1.35
+20 0 2 0 0 36 48 56 1.2
+20 0 2 0 0 36 48 57 1.05
+20 0 2 0 0 36 48 58 0.9
+20 0 2 0 0 36 48 59 0.75
+20 0 2 0 0 36 48 60 0.6
+20 0 2 0 0 36 48 61 0.45
+20 0 2 0 0 36 48 62 0.3
+20 0 2 0 0 36 48 63 0.15
+20 0 2 0 0 36 48 64 6.2803698347351e-16
+20 0 2 0 0 36 48 65 0.15
+20 0 2 0 0 36 48 66 0.3
+20 0 2 0 0 36 48 67 0.45
+20 0 2 0 0 36 48 68 0.6
+20 0 2 0 0 36 48 69 0.75
+20 0 2 0 0 36 48 70 0.9
+20 0 2 0 0 36 48 71 1.05
+20 0 2 0 0 36 48 72 1.2
+20 0 2 0 0 36 48 73 1.35
+20 0 2 0 0 36 48 74 1.5
+20 0 2 0 0 36 48 75 1.65
+20 0 2 0 0 36 48 76 1.8
+20 0 2 0 0 36 48 77 1.95
+20 0 2 0 0 36 48 78 2.1
+20 0 2 0 0 36 48 79 2.25
+20 0 2 0 0 36 48 80 2.4
+20 0 2 0 0 36 48 81 2.55
+20 0 2 0 0 36 48 82 2.7
+20 0 2 0 0 36 48 83 2.85
+20 0 2 0 0 36 48 84 3
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 4.5
+20 0 1 0 0 36 48 36 4.2
+20 0 1 0 0 36 48 38 3.9
+20 0 1 0 0 36 48 40 3.6
+20 0 1 0 0 36 48 42 3.3
+20 0 1 0 0 36 48 44 3
+20 0 1 0 0 36 48 46 2.7
+20 0 1 0 0 36 48 48 2.4
+20 0 1 0 0 36 48 50 2.1
+20 0 1 0 0 36 48 52 1.8
+20 0 1 0 0 36 48 54 1.5
+20 0 1 0 0 36 48 56 1.2
+20 0 1 0 0 36 48 58 0.9
+20 0 1 0 0 36 48 60 0.6
+20 0 1 0 0 36 48 62 0.3
+20 0 1 0 0 36 48 64 6.2803698347351e-16
+20 0 1 0 0 36 48 66 0.3
+20 0 1 0 0 36 48 68 0.6
+20 0 1 0 0 36 48 70 0.9
+20 0 1 0 0 36 48 72 1.2
+20 0 1 0 0 36 48 74 1.5
+20 0 1 0 0 36 48 76 1.8
+20 0 1 0 0 36 48 78 2.1
+20 0 1 0 0 36 48 80 2.4
+20 0 1 0 0 36 48 82 2.7
+20 0 1 0 0 36 48 84 3
+20 0 1 0 0 36 48 86 3.3
+20 0 1 0 0 36 48 88 3.6
+20 0 1 0 0 36 48 90 3.9
+20 0 1 0 0 36 48 92 4.2
+20 0 1 0 0 36 48 94 4.5
+20 0 1 0 0 36 48 96 4.8
+20 0 1 0 0 36 48 98 5.1
+20 0 1 0 0 36 48 100 5.4
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 9.6
+20 0 0 0 0 36 48 4 9
+20 0 0 0 0 36 48 8 8.4
+20 0 0 0 0 36 48 12 7.8
+20 0 0 0 0 36 48 16 7.2
+20 0 0 0 0 36 48 20 6.6
+20 0 0 0 0 36 48 24 6
+20 0 0 0 0 36 48 28 5.4
+20 0 0 0 0 36 48 32 4.8
+20 0 0 0 0 36 48 36 4.2
+20 0 0 0 0 36 48 40 3.6
+20 0 0 0 0 36 48 44 3
+20 0 0 0 0 36 48 48 2.4
+20 0 0 0 0 36 48 52 1.8
+20 0 0 0 0 36 48 56 1.2
+20 0 0 0 0 36 48 60 0.6
+20 0 0 0 0 36 48 64 6.2803698347351e-16
+20 0 0 0 0 36 48 68 0.6
+20 0 0 0 0 36 48 72 1.2
+20 0 0 0 0 36 48 76 1.8
+20 0 0 0 0 36 48 80 2.4
+20 0 0 0 0 36 48 84 3
+20 0 0 0 0 36 48 88 3.6
+20 0 0 0 0 36 48 92 4.2
+20 0 0 0 0 36 48 96 4.8
+20 0 0 0 0 36 48 100 5.4
+20 0 0 0 0 36 48 104 6
+20 0 0 0 0 36 48 108 6.6
+20 0 0 0 0 36 48 112 7.2
+20 0 0 0 0 36 48 116 7.8
+20 0 0 0 0 36 48 120 8.4
+20 0 0 0 0 36 48 124 9
+20 0 0 0 0 36 48 128 9.6
+20 0 0 0 0 36 48 132 10.2
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 1.95
+21 0 2 0 0 36 48 52 1.8
+21 0 2 0 0 36 48 53 1.65
+21 0 2 0 0 36 48 54 1.5
+21 0 2 0 0 36 48 55 1.35
+21 0 2 0 0 36 48 56 1.2
+21 0 2 0 0 36 48 57 1.05
+21 0 2 0 0 36 48 58 0.9
+21 0 2 0 0 36 48 59 0.75
+21 0 2 0 0 36 48 60 0.6
+21 0 2 0 0 36 48 61 0.45
+21 0 2 0 0 36 48 62 0.3
+21 0 2 0 0 36 48 63 0.15
+21 0 2 0 0 36 48 64 6.2803698347351e-16
+21 0 2 0 0 36 48 65 0.15
+21 0 2 0 0 36 48 66 0.3
+21 0 2 0 0 36 48 67 0.45
+21 0 2 0 0 36 48 68 0.6
+21 0 2 0 0 36 48 69 0.75
+21 0 2 0 0 36 48 70 0.9
+21 0 2 0 0 36 48 71 1.05
+21 0 2 0 0 36 48 72 1.2
+21 0 2 0 0 36 48 73 1.35
+21 0 2 0 0 36 48 74 1.5
+21 0 2 0 0 36 48 75 1.65
+21 0 2 0 0 36 48 76 1.8
+21 0 2 0 0 36 48 77 1.95
+21 0 2 0 0 36 48 78 2.1
+21 0 2 0 0 36 48 79 2.25
+21 0 2 0 0 36 48 80 2.4
+21 0 2 0 0 36 48 81 2.55
+21 0 2 0 0 36 48 82 2.7
+21 0 2 0 0 36 48 83 2.85
+21 0 2 0 0 36 48 84 3
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 1.95
+22 0 2 0 0 36 48 52 1.8
+22 0 2 0 0 36 48 53 1.65
+22 0 2 0 0 36 48 54 1.5
+22 0 2 0 0 36 48 55 1.35
+22 0 2 0 0 36 48 56 1.2
+22 0 2 0 0 36 48 57 1.05
+22 0 2 0 0 36 48 58 0.9
+22 0 2 0 0 36 48 59 0.75
+22 0 2 0 0 36 48 60 0.6
+22 0 2 0 0 36 48 61 0.45
+22 0 2 0 0 36 48 62 0.3
+22 0 2 0 0 36 48 63 0.15
+22 0 2 0 0 36 48 64 6.2803698347351e-16
+22 0 2 0 0 36 48 65 0.15
+22 0 2 0 0 36 48 66 0.3
+22 0 2 0 0 36 48 67 0.45
+22 0 2 0 0 36 48 68 0.6
+22 0 2 0 0 36 48 69 0.75
+22 0 2 0 0 36 48 70 0.9
+22 0 2 0 0 36 48 71 1.05
+22 0 2 0 0 36 48 72 1.2
+22 0 2 0 0 36 48 73 1.35
+22 0 2 0 0 36 48 74 1.5
+22 0 2 0 0 36 48 75 1.65
+22 0 2 0 0 36 48 76 1.8
+22 0 2 0 0 36 48 77 1.95
+22 0 2 0 0 36 48 78 2.1
+22 0 2 0 0 36 48 79 2.25
+22 0 2 0 0 36 48 80 2.4
+22 0 2 0 0 36 48 81 2.55
+22 0 2 0 0 36 48 82 2.7
+22 0 2 0 0 36 48 83 2.85
+22 0 2 0 0 36 48 84 3
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 4.5
+22 0 1 0 0 36 48 36 4.2
+22 0 1 0 0 36 48 38 3.9
+22 0 1 0 0 36 48 40 3.6
+22 0 1 0 0 36 48 42 3.3
+22 0 1 0 0 36 48 44 3
+22 0 1 0 0 36 48 46 2.7
+22 0 1 0 0 36 48 48 2.4
+22 0 1 0 0 36 48 50 2.1
+22 0 1 0 0 36 48 52 1.8
+22 0 1 0 0 36 48 54 1.5
+22 0 1 0 0 36 48 56 1.2
+22 0 1 0 0 36 48 58 0.9
+22 0 1 0 0 36 48 60 0.6
+22 0 1 0 0 36 48 62 0.3
+22 0 1 0 0 36 48 64 6.2803698347351e-16
+22 0 1 0 0 36 48 66 0.3
+22 0 1 0 0 36 48 68 0.6
+22 0 1 0 0 36 48 70 0.9
+22 0 1 0 0 36 48 72 1.2
+22 0 1 0 0 36 48 74 1.5
+22 0 1 0 0 36 48 76 1.8
+22 0 1 0 0 36 48 78 2.1
+22 0 1 0 0 36 48 80 2.4
+22 0 1 0 0 36 48 82 2.7
+22 0 1 0 0 36 48 84 3
+22 0 1 0 0 36 48 86 3.3
+22 0 1 0 0 36 48 88 3.6
+22 0 1 0 0 36 48 90 3.9
+22 0 1 0 0 36 48 92 4.2
+22 0 1 0 0 36 48 94 4.5
+22 0 1 0 0 36 48 96 4.8
+22 0 1 0 0 36 48 98 5.1
+22 0 1 0 0 36 48 100 5.4
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 1.95
+23 0 2 0 0 36 48 52 1.8
+23 0 2 0 0 36 48 53 1.65
+23 0 2 0 0 36 48 54 1.5
+23 0 2 0 0 36 48 55 1.35
+23 0 2 0 0 36 48 56 1.2
+23 0 2 0 0 36 48 57 1.05
+23 0 2 0 0 36 48 58 0.9
+23 0 2 0 0 36 48 59 0.75
+23 0 2 0 0 36 48 60 0.6
+23 0 2 0 0 36 48 61 0.45
+23 0 2 0 0 36 48 62 0.3
+23 0 2 0 0 36 48 63 0.15
+23 0 2 0 0 36 48 64 6.2803698347351e-16
+23 0 2 0 0 36 48 65 0.15
+23 0 2 0 0 36 48 66 0.3
+23 0 2 0 0 36 48 67 0.45
+23 0 2 0 0 36 48 68 0.6
+23 0 2 0 0 36 48 69 0.75
+23 0 2 0 0 36 48 70 0.9
+23 0 2 0 0 36 48 71 1.05
+23 0 2 0 0 36 48 72 1.2
+23 0 2 0 0 36 48 73 1.35
+23 0 2 0 0 36 48 74 1.5
+23 0 2 0 0 36 48 75 1.65
+23 0 2 0 0 36 48 76 1.8
+23 0 2 0 0 36 48 77 1.95
+23 0 2 0 0 36 48 78 2.1
+23 0 2 0 0 36 48 79 2.25
+23 0 2 0 0 36 48 80 2.4
+23 0 2 0 0 36 48 81 2.55
+23 0 2 0 0 36 48 82 2.7
+23 0 2 0 0 36 48 83 2.85
+23 0 2 0 0 36 48 84 3
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 1.95
+24 0 2 0 0 36 48 52 1.8
+24 0 2 0 0 36 48 53 1.65
+24 0 2 0 0 36 48 54 1.5
+24 0 2 0 0 36 48 55 1.35
+24 0 2 0 0 36 48 56 1.2
+24 0 2 0 0 36 48 57 1.05
+24 0 2 0 0 36 48 58 0.9
+24 0 2 0 0 36 48 59 0.75
+24 0 2 0 0 36 48 60 0.6
+24 0 2 0 0 36 48 61 0.45
+24 0 2 0 0 36 48 62 0.3
+24 0 2 0 0 36 48 63 0.15
+24 0 2 0 0 36 48 64 6.2803698347351e-16
+24 0 2 0 0 36 48 65 0.15
+24 0 2 0 0 36 48 66 0.3
+24 0 2 0 0 36 48 67 0.45
+24 0 2 0 0 36 48 68 0.6
+24 0 2 0 0 36 48 69 0.75
+24 0 2 0 0 36 48 70 0.9
+24 0 2 0 0 36 48 71 1.05
+24 0 2 0 0 36 48 72 1.2
+24 0 2 0 0 36 48 73 1.35
+24 0 2 0 0 36 48 74 1.5
+24 0 2 0 0 36 48 75 1.65
+24 0 2 0 0 36 48 76 1.8
+24 0 2 0 0 36 48 77 1.95
+24 0 2 0 0 36 48 78 2.1
+24 0 2 0 0 36 48 79 2.25
+24 0 2 0 0 36 48 80 2.4
+24 0 2 0 0 36 48 81 2.55
+24 0 2 0 0 36 48 82 2.7
+24 0 2 0 0 36 48 83 2.85
+24 0 2 0 0 36 48 84 3
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 4.5
+24 0 1 0 0 36 48 36 4.2
+24 0 1 0 0 36 48 38 3.9
+24 0 1 0 0 36 48 40 3.6
+24 0 1 0 0 36 48 42 3.3
+24 0 1 0 0 36 48 44 3
+24 0 1 0 0 36 48 46 2.7
+24 0 1 0 0 36 48 48 2.4
+24 0 1 0 0 36 48 50 2.1
+24 0 1 0 0 36 48 52 1.8
+24 0 1 0 0 36 48 54 1.5
+24 0 1 0 0 36 48 56 1.2
+24 0 1 0 0 36 48 58 0.9
+24 0 1 0 0 36 48 60 0.6
+24 0 1 0 0 36 48 62 0.3
+24 0 1 0 0 36 48 64 6.2803698347351e-16
+24 0 1 0 0 36 48 66 0.3
+24 0 1 0 0 36 48 68 0.6
+24 0 1 0 0 36 48 70 0.9
+24 0 1 0 0 36 48 72 1.2
+24 0 1 0 0 36 48 74 1.5
+24 0 1 0 0 36 48 76 1.8
+24 0 1 0 0 36 48 78 2.1
+24 0 1 0 0 36 48 80 2.4
+24 0 1 0 0 36 48 82 2.7
+24 0 1 0 0 36 48 84 3
+24 0 1 0 0 36 48 86 3.3
+24 0 1 0 0 36 48 88 3.6
+24 0 1 0 0 36 48 90 3.9
+24 0 1 0 0 36 48 92 4.2
+24 0 1 0 0 36 48 94 4.5
+24 0 1 0 0 36 48 96 4.8
+24 0 1 0 0 36 48 98 5.1
+24 0 1 0 0 36 48 100 5.4
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 9.6
+24 0 0 0 0 36 48 4 9
+24 0 0 0 0 36 48 8 8.4
+24 0 0 0 0 36 48 12 7.8
+24 0 0 0 0 36 48 16 7.2
+24 0 0 0 0 36 48 20 6.6
+24 0 0 0 0 36 48 24 6
+24 0 0 0 0 36 48 28 5.4
+24 0 0 0 0 36 48 32 4.8
+24 0 0 0 0 36 48 36 4.2
+24 0 0 0 0 36 48 40 3.6
+24 0 0 0 0 36 48 44 3
+24 0 0 0 0 36 48 48 2.4
+24 0 0 0 0 36 48 52 1.8
+24 0 0 0 0 36 48 56 1.2
+24 0 0 0 0 36 48 60 0.6
+24 0 0 0 0 36 48 64 6.2803698347351e-16
+24 0 0 0 0 36 48 68 0.6
+24 0 0 0 0 36 48 72 1.2
+24 0 0 0 0 36 48 76 1.8
+24 0 0 0 0 36 48 80 2.4
+24 0 0 0 0 36 48 84 3
+24 0 0 0 0 36 48 88 3.6
+24 0 0 0 0 36 48 92 4.2
+24 0 0 0 0 36 48 96 4.8
+24 0 0 0 0 36 48 100 5.4
+24 0 0 0 0 36 48 104 6
+24 0 0 0 0 36 48 108 6.6
+24 0 0 0 0 36 48 112 7.2
+24 0 0 0 0 36 48 116 7.8
+24 0 0 0 0 36 48 120 8.4
+24 0 0 0 0 36 48 124 9
+24 0 0 0 0 36 48 128 9.6
+24 0 0 0 0 36 48 132 10.2
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.xl
new file mode 100644
index 000000000..c33fc0c78
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.xl
@@ -0,0 +1,1082 @@
+# HYDROTOY::u x (u)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0.587785252292474
+0 0 2 0 0 28 48 64 0.669130606358859
+0 0 2 0 0 29 48 64 0.743144825477395
+0 0 2 0 0 30 48 64 0.809016994374948
+0 0 2 0 0 31 48 64 0.866025403784439
+0 0 2 0 0 32 48 64 0.913545457642601
+0 0 2 0 0 33 48 64 0.951056516295154
+0 0 2 0 0 34 48 64 0.978147600733806
+0 0 2 0 0 35 48 64 0.994521895368273
+0 0 2 0 0 36 48 64 1
+0 0 2 0 0 37 48 64 0.994521895368273
+0 0 2 0 0 38 48 64 0.978147600733806
+0 0 2 0 0 39 48 64 0.951056516295154
+0 0 2 0 0 40 48 64 0.913545457642601
+0 0 2 0 0 41 48 64 0.866025403784439
+0 0 2 0 0 42 48 64 0.809016994374948
+0 0 2 0 0 43 48 64 0.743144825477395
+0 0 2 0 0 44 48 64 0.669130606358859
+0 0 2 0 0 45 48 64 0.587785252292474
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -0.309016994374946
+0 0 1 0 0 20 48 64 -0.104528463267652
+0 0 1 0 0 22 48 64 0.104528463267655
+0 0 1 0 0 24 48 64 0.309016994374949
+0 0 1 0 0 26 48 64 0.500000000000001
+0 0 1 0 0 28 48 64 0.669130606358859
+0 0 1 0 0 30 48 64 0.809016994374948
+0 0 1 0 0 32 48 64 0.913545457642601
+0 0 1 0 0 34 48 64 0.978147600733806
+0 0 1 0 0 36 48 64 1
+0 0 1 0 0 38 48 64 0.978147600733806
+0 0 1 0 0 40 48 64 0.913545457642601
+0 0 1 0 0 42 48 64 0.809016994374948
+0 0 1 0 0 44 48 64 0.669130606358859
+0 0 1 0 0 46 48 64 0.500000000000001
+0 0 1 0 0 48 48 64 0.309016994374949
+0 0 1 0 0 50 48 64 0.104528463267655
+0 0 1 0 0 52 48 64 -0.104528463267652
+0 0 1 0 0 54 48 64 -0.309016994374946
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -0.80901699437495
+0 0 0 0 0 4 48 64 -0.978147600733806
+0 0 0 0 0 8 48 64 -0.978147600733805
+0 0 0 0 0 12 48 64 -0.809016994374946
+0 0 0 0 0 16 48 64 -0.499999999999998
+0 0 0 0 0 20 48 64 -0.104528463267652
+0 0 0 0 0 24 48 64 0.309016994374949
+0 0 0 0 0 28 48 64 0.669130606358859
+0 0 0 0 0 32 48 64 0.913545457642601
+0 0 0 0 0 36 48 64 1
+0 0 0 0 0 40 48 64 0.913545457642601
+0 0 0 0 0 44 48 64 0.669130606358859
+0 0 0 0 0 48 48 64 0.309016994374949
+0 0 0 0 0 52 48 64 -0.104528463267652
+0 0 0 0 0 56 48 64 -0.499999999999998
+0 0 0 0 0 60 48 64 -0.809016994374946
+0 0 0 0 0 64 48 64 -0.978147600733805
+0 0 0 0 0 68 48 64 -0.978147600733806
+0 0 0 0 0 72 48 64 -0.809016994374949
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0.651909615077598
+1 0 2 0 0 28 48 64 0.727632226861757
+1 0 2 0 0 29 48 64 0.795757084641662
+1 0 2 0 0 30 48 64 0.85453175813475
+1 0 2 0 0 31 48 64 0.904143679572001
+1 0 2 0 0 32 48 64 0.943849613651632
+1 0 2 0 0 33 48 64 0.973214533850867
+1 0 2 0 0 34 48 64 0.991916711958997
+1 0 2 0 0 35 48 64 0.999751242998988
+1 0 2 0 0 36 48 64 0.996632290209284
+1 0 2 0 0 37 48 64 0.982594025489333
+1 0 2 0 0 38 48 64 0.957790255005101
+1 0 2 0 0 39 48 64 0.922492734056538
+1 0 2 0 0 40 48 64 0.877088189669635
+1 0 2 0 0 41 48 64 0.822074083534209
+1 0 2 0 0 42 48 64 0.758053161709521
+1 0 2 0 0 43 48 64 0.685573567098755
+1 0 2 0 0 44 48 64 0.60619085304572
+1 0 2 0 0 45 48 64 0.519709648987857
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0.712050473931948
+2 0 2 0 0 28 48 64 0.781583843698094
+2 0 2 0 0 29 48 64 0.843025259774963
+2 0 2 0 0 30 48 64 0.894196637999352
+2 0 2 0 0 31 48 64 0.936168586212415
+2 0 2 0 0 32 48 64 0.967786185543245
+2 0 2 0 0 33 48 64 0.988806756800127
+2 0 2 0 0 34 48 64 0.998993754308389
+2 0 2 0 0 35 48 64 0.998235567191566
+2 0 2 0 0 36 48 64 0.98654050230637
+2 0 2 0 0 37 48 64 0.964036693231034
+2 0 2 0 0 38 48 64 0.93097069640701
+2 0 2 0 0 39 48 64 0.887704789815009
+2 0 2 0 0 40 48 64 0.834713003781624
+2 0 2 0 0 41 48 64 0.772571137287833
+2 0 2 0 0 42 48 64 0.701922882566005
+2 0 2 0 0 43 48 64 0.623424606511313
+2 0 2 0 0 44 48 64 0.538826962541212
+2 0 2 0 0 45 48 64 0.447787558843344
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -0.152431492460527
+2 0 1 0 0 20 48 64 0.0563600193614062
+2 0 1 0 0 22 48 64 0.265712841995523
+2 0 1 0 0 24 48 64 0.460231992899264
+2 0 1 0 0 26 48 64 0.634779370549878
+2 0 1 0 0 28 48 64 0.781583843698094
+2 0 1 0 0 30 48 64 0.894196637999352
+2 0 1 0 0 32 48 64 0.967786185543245
+2 0 1 0 0 34 48 64 0.998993754308389
+2 0 1 0 0 36 48 64 0.98654050230637
+2 0 1 0 0 38 48 64 0.93097069640701
+2 0 1 0 0 40 48 64 0.834713003781624
+2 0 1 0 0 42 48 64 0.701922882566005
+2 0 1 0 0 44 48 64 0.538826962541212
+2 0 1 0 0 46 48 64 0.351882122506354
+2 0 1 0 0 48 48 64 0.149558345200208
+2 0 1 0 0 50 48 64 -0.0589516342688979
+2 0 1 0 0 52 48 64 -0.26279679501044
+2 0 1 0 0 54 48 64 -0.457422597155463
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0.767040935107942
+3 0 2 0 0 28 48 64 0.829947667915722
+3 0 2 0 0 29 48 64 0.884612806838293
+3 0 2 0 0 30 48 64 0.927755552365676
+3 0 2 0 0 31 48 64 0.961898089154164
+3 0 2 0 0 32 48 64 0.98518851840189
+3 0 2 0 0 33 48 64 0.997728108671474
+3 0 2 0 0 34 48 64 0.999330904770413
+3 0 2 0 0 35 48 64 0.989985017350036
+3 0 2 0 0 36 48 64 0.969792646911889
+3 0 2 0 0 37 48 64 0.938975025292017
+3 0 2 0 0 38 48 64 0.89786979680189
+3 0 2 0 0 39 48 64 0.84692716923554
+3 0 2 0 0 40 48 64 0.786702215384492
+3 0 2 0 0 41 48 64 0.717844357478858
+3 0 2 0 0 42 48 64 0.641016332962757
+3 0 2 0 0 43 48 64 0.557134770865079
+3 0 2 0 0 44 48 64 0.468258963521186
+3 0 2 0 0 45 48 64 0.373308857576257
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0.8172570703812
+4 0 2 0 0 28 48 64 0.873069629165358
+4 0 2 0 0 29 48 64 0.920222577097198
+4 0 2 0 0 30 48 64 0.954984230800394
+4 0 2 0 0 31 48 64 0.981168854858724
+4 0 2 0 0 32 48 64 0.995929410946638
+4 0 2 0 0 33 48 64 0.999919766215497
+4 0 2 0 0 34 48 64 0.992925577292746
+4 0 2 0 0 35 48 64 0.975055187672998
+4 0 2 0 0 36 48 64 0.946501642314714
+4 0 2 0 0 37 48 64 0.907578028310829
+4 0 2 0 0 38 48 64 0.858710639523405
+4 0 2 0 0 39 48 64 0.800434041884727
+4 0 2 0 0 40 48 64 0.733374241117431
+4 0 2 0 0 41 48 64 0.658260598145681
+4 0 2 0 0 42 48 64 0.575787440470886
+4 0 2 0 0 43 48 64 0.487155903121006
+4 0 2 0 0 44 48 64 0.394080179760359
+4 0 2 0 0 45 48 64 0.295797333588946
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 0.0113922603551225
+4 0 1 0 0 20 48 64 0.219322218933327
+4 0 1 0 0 22 48 64 0.420199068973527
+4 0 1 0 0 24 48 64 0.598974103207183
+4 0 1 0 0 26 48 64 0.752539198221478
+4 0 1 0 0 28 48 64 0.873069629165358
+4 0 1 0 0 30 48 64 0.954984230800394
+4 0 1 0 0 32 48 64 0.995929410946638
+4 0 1 0 0 34 48 64 0.992925577292746
+4 0 1 0 0 36 48 64 0.946501642314714
+4 0 1 0 0 38 48 64 0.858710639523405
+4 0 1 0 0 40 48 64 0.733374241117431
+4 0 1 0 0 42 48 64 0.575787440470886
+4 0 1 0 0 44 48 64 0.394080179760359
+4 0 1 0 0 46 48 64 0.194289704704288
+4 0 1 0 0 48 48 64 -0.0137281404892237
+4 0 1 0 0 50 48 64 -0.220507844906553
+4 0 1 0 0 52 48 64 -0.417658637620938
+4 0 1 0 0 54 48 64 -0.597316331665305
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -0.955765485796519
+4 0 0 0 0 4 48 64 -0.994570500607911
+4 0 0 0 0 8 48 64 -0.861405240474848
+4 0 0 0 0 12 48 64 -0.579295188642749
+4 0 0 0 0 16 48 64 -0.197019735962746
+4 0 0 0 0 20 48 64 0.219322218933327
+4 0 0 0 0 24 48 64 0.598974103207183
+4 0 0 0 0 28 48 64 0.873069629165358
+4 0 0 0 0 32 48 64 0.995929410946638
+4 0 0 0 0 36 48 64 0.946501642314714
+4 0 0 0 0 40 48 64 0.733374241117431
+4 0 0 0 0 44 48 64 0.394080179760359
+4 0 0 0 0 48 48 64 -0.0137281404892237
+4 0 0 0 0 52 48 64 -0.417658637620938
+4 0 0 0 0 56 48 64 -0.751699935634057
+4 0 0 0 0 60 48 64 -0.955765485796519
+4 0 0 0 0 64 48 64 -0.994570500607911
+4 0 0 0 0 68 48 64 -0.861405240474848
+4 0 0 0 0 72 48 64 -0.579295188642749
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0.861658331762277
+5 0 2 0 0 28 48 64 0.909998273199635
+5 0 2 0 0 29 48 64 0.949601042191555
+5 0 2 0 0 30 48 64 0.975731408642226
+5 0 2 0 0 31 48 64 0.993858181934711
+5 0 2 0 0 32 48 64 0.99992407886453
+5 0 2 0 0 33 48 64 0.99537007996143
+5 0 2 0 0 34 48 64 0.979819821685853
+5 0 2 0 0 35 48 64 0.953546807750284
+5 0 2 0 0 36 48 64 0.916824524749787
+5 0 2 0 0 37 48 64 0.870057388101803
+5 0 2 0 0 38 48 64 0.813756658981732
+5 0 2 0 0 39 48 64 0.748537326577747
+5 0 2 0 0 40 48 64 0.675084140622609
+5 0 2 0 0 41 48 64 0.594227982314214
+5 0 2 0 0 42 48 64 0.506691213415168
+5 0 2 0 0 43 48 64 0.413964673419675
+5 0 2 0 0 44 48 64 0.317758281790492
+5 0 2 0 0 45 48 64 0.216855205439183
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0.900541251834603
+6 0 2 0 0 28 48 64 0.941050751434342
+6 0 2 0 0 29 48 64 0.972551770952971
+6 0 2 0 0 30 48 64 0.989874876870108
+6 0 2 0 0 31 48 64 0.999879728730812
+6 0 2 0 0 32 48 64 0.997133631057299
+6 0 2 0 0 33 48 64 0.984114697608935
+6 0 2 0 0 34 48 64 0.960099314199465
+6 0 2 0 0 35 48 64 0.925605181205367
+6 0 2 0 0 36 48 64 0.880961227748025
+6 0 2 0 0 37 48 64 0.826665876324329
+6 0 2 0 0 38 48 64 0.763309525825212
+6 0 2 0 0 39 48 64 0.6915851057022
+6 0 2 0 0 40 48 64 0.61222371262752
+6 0 2 0 0 41 48 64 0.526187860248386
+6 0 2 0 0 42 48 64 0.434236809637141
+6 0 2 0 0 43 48 64 0.338054099405671
+6 0 2 0 0 44 48 64 0.238804046100998
+6 0 2 0 0 45 48 64 0.135890601514092
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0.171349925732333
+6 0 1 0 0 20 48 64 0.373029970686084
+6 0 1 0 0 22 48 64 0.563783792969253
+6 0 1 0 0 24 48 64 0.721500034583382
+6 0 1 0 0 26 48 64 0.850136413408487
+6 0 1 0 0 28 48 64 0.941050751434342
+6 0 1 0 0 30 48 64 0.989874876870108
+6 0 1 0 0 32 48 64 0.997133631057299
+6 0 1 0 0 34 48 64 0.960099314199465
+6 0 1 0 0 36 48 64 0.880961227748025
+6 0 1 0 0 38 48 64 0.763309525825212
+6 0 1 0 0 40 48 64 0.61222371262752
+6 0 1 0 0 42 48 64 0.434236809637141
+6 0 1 0 0 44 48 64 0.238804046100998
+6 0 1 0 0 46 48 64 0.0314784031143814
+6 0 1 0 0 48 48 64 -0.1764639913692
+6 0 1 0 0 50 48 64 -0.375858270808843
+6 0 1 0 0 52 48 64 -0.557908474529556
+6 0 1 0 0 54 48 64 -0.718087004621101
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0.933137943726491
+7 0 2 0 0 28 48 64 0.965516178555924
+7 0 2 0 0 29 48 64 0.988919288782494
+7 0 2 0 0 30 48 64 0.997353020655858
+7 0 2 0 0 31 48 64 0.999187577316258
+7 0 2 0 0 32 48 64 0.98756853001275
+7 0 2 0 0 33 48 64 0.966235531674265
+7 0 2 0 0 34 48 64 0.933892145473313
+7 0 2 0 0 35 48 64 0.89141931131326
+7 0 2 0 0 36 48 64 0.839152841904983
+7 0 2 0 0 37 48 64 0.777695386779001
+7 0 2 0 0 38 48 64 0.707707009052102
+7 0 2 0 0 39 48 64 0.629959953010167
+7 0 2 0 0 40 48 64 0.545220593623263
+7 0 2 0 0 41 48 64 0.454615185550141
+7 0 2 0 0 42 48 64 0.35891740960853
+7 0 2 0 0 43 48 64 0.259928645169979
+7 0 2 0 0 44 48 64 0.158778820620099
+7 0 2 0 0 45 48 64 0.0545929645868534
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0.959631676597353
+8 0 2 0 0 28 48 64 0.983631516335565
+8 0 2 0 0 29 48 64 0.998606063574724
+8 0 2 0 0 30 48 64 0.998129861445735
+8 0 2 0 0 31 48 64 0.99177465614636
+8 0 2 0 0 32 48 64 0.971290760850531
+8 0 2 0 0 33 48 64 0.941858854460701
+8 0 2 0 0 34 48 64 0.9013677138982
+8 0 2 0 0 35 48 64 0.851220626947235
+8 0 2 0 0 36 48 64 0.791679348020936
+8 0 2 0 0 37 48 64 0.723474691733677
+8 0 2 0 0 38 48 64 0.647320872908433
+8 0 2 0 0 39 48 64 0.564077261940211
+8 0 2 0 0 40 48 64 0.474535901291738
+8 0 2 0 0 41 48 64 0.380007285149932
+8 0 2 0 0 42 48 64 0.281268385646936
+8 0 2 0 0 43 48 64 0.180103631479668
+8 0 2 0 0 44 48 64 0.0771621560383866
+8 0 2 0 0 45 48 64 -0.0276551295980301
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0.331370286068853
+8 0 1 0 0 20 48 64 0.521259329540353
+8 0 1 0 0 22 48 64 0.692452524847431
+8 0 1 0 0 24 48 64 0.824315235529456
+8 0 1 0 0 26 48 64 0.924950709115942
+8 0 1 0 0 28 48 64 0.983631516335565
+8 0 1 0 0 30 48 64 0.998129861445735
+8 0 1 0 0 32 48 64 0.971290760850531
+8 0 1 0 0 34 48 64 0.9013677138982
+8 0 1 0 0 36 48 64 0.791679348020936
+8 0 1 0 0 38 48 64 0.647320872908433
+8 0 1 0 0 40 48 64 0.474535901291738
+8 0 1 0 0 42 48 64 0.281268385646936
+8 0 1 0 0 44 48 64 0.0771621560383866
+8 0 1 0 0 46 48 64 -0.132157376793459
+8 0 1 0 0 48 48 64 -0.334104514474491
+8 0 1 0 0 50 48 64 -0.52093722953661
+8 0 1 0 0 52 48 64 -0.687281477926158
+8 0 1 0 0 54 48 64 -0.823489407559468
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -1.00236259183865
+8 0 0 0 0 4 48 64 -0.906417389262528
+8 0 0 0 0 8 48 64 -0.653744385539442
+8 0 0 0 0 12 48 64 -0.288033038475295
+8 0 0 0 0 16 48 64 0.127520360561461
+8 0 0 0 0 20 48 64 0.521259329540353
+8 0 0 0 0 24 48 64 0.824315235529456
+8 0 0 0 0 28 48 64 0.983631516335565
+8 0 0 0 0 32 48 64 0.971290760850531
+8 0 0 0 0 36 48 64 0.791679348020936
+8 0 0 0 0 40 48 64 0.474535901291738
+8 0 0 0 0 44 48 64 0.0771621560383866
+8 0 0 0 0 48 48 64 -0.334104514474491
+8 0 0 0 0 52 48 64 -0.687281477926158
+8 0 0 0 0 56 48 64 -0.925062939033713
+8 0 0 0 0 60 48 64 -1.00236259183865
+8 0 0 0 0 64 48 64 -0.906417389262528
+8 0 0 0 0 68 48 64 -0.653744385539442
+8 0 0 0 0 72 48 64 -0.288033038475295
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0.979522394926427
+9 0 2 0 0 28 48 64 0.994949058957819
+9 0 2 0 0 29 48 64 1.00155306469829
+9 0 2 0 0 30 48 64 0.992216994579214
+9 0 2 0 0 31 48 64 0.977677520574414
+9 0 2 0 0 32 48 64 0.948414545015055
+9 0 2 0 0 33 48 64 0.911152651183213
+9 0 2 0 0 34 48 64 0.862735877450767
+9 0 2 0 0 35 48 64 0.805281240591704
+9 0 2 0 0 36 48 64 0.738856948924592
+9 0 2 0 0 37 48 64 0.66436706921524
+9 0 2 0 0 38 48 64 0.582554908456244
+9 0 2 0 0 39 48 64 0.494383006914857
+9 0 2 0 0 40 48 64 0.400660090715143
+9 0 2 0 0 41 48 64 0.302882590818387
+9 0 2 0 0 42 48 64 0.201796369353135
+9 0 2 0 0 43 48 64 0.0990996681789885
+9 0 2 0 0 44 48 64 -0.00442825670899079
+9 0 2 0 0 45 48 64 -0.109126883534929
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0.992904302712177
+10 0 2 0 0 28 48 64 0.9996180416945
+10 0 2 0 0 29 48 64 0.997755089593378
+10 0 2 0 0 30 48 64 0.979651844901972
+10 0 2 0 0 31 48 64 0.956976452768149
+10 0 2 0 0 32 48 64 0.919104812878963
+10 0 2 0 0 33 48 64 0.874323824069922
+10 0 2 0 0 34 48 64 0.818246477106666
+10 0 2 0 0 35 48 64 0.753911735704131
+10 0 2 0 0 36 48 64 0.681035265045959
+10 0 2 0 0 37 48 64 0.600767976552479
+10 0 2 0 0 38 48 64 0.51384297211578
+10 0 2 0 0 39 48 64 0.421351068910341
+10 0 2 0 0 40 48 64 0.324107406337792
+10 0 2 0 0 41 48 64 0.223768574727125
+10 0 2 0 0 42 48 64 0.121043340206438
+10 0 2 0 0 43 48 64 0.0174448294102601
+10 0 2 0 0 44 48 64 -0.0865316479337494
+10 0 2 0 0 45 48 64 -0.190432223333164
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0.478675681166316
+10 0 1 0 0 20 48 64 0.651880289281464
+10 0 1 0 0 22 48 64 0.802598547195325
+10 0 1 0 0 24 48 64 0.904770631644155
+10 0 1 0 0 26 48 64 0.974991013671792
+10 0 1 0 0 28 48 64 0.9996180416945
+10 0 1 0 0 30 48 64 0.979651844901972
+10 0 1 0 0 32 48 64 0.919104812878963
+10 0 1 0 0 34 48 64 0.818246477106666
+10 0 1 0 0 36 48 64 0.681035265045959
+10 0 1 0 0 38 48 64 0.51384297211578
+10 0 1 0 0 40 48 64 0.324107406337792
+10 0 1 0 0 42 48 64 0.121043340206438
+10 0 1 0 0 44 48 64 -0.0865316479337494
+10 0 1 0 0 46 48 64 -0.29216271855061
+10 0 1 0 0 48 48 64 -0.482538973279383
+10 0 1 0 0 50 48 64 -0.652033248997704
+10 0 1 0 0 52 48 64 -0.795233029341178
+10 0 1 0 0 54 48 64 -0.904340984014868
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 0.999535428486159
+11 0 2 0 0 28 48 64 0.99746273059071
+11 0 2 0 0 29 48 64 0.987241529667667
+11 0 2 0 0 30 48 64 0.960511736002182
+11 0 2 0 0 31 48 64 0.929798915717165
+11 0 2 0 0 32 48 64 0.883574041207677
+11 0 2 0 0 33 48 64 0.831615641441191
+11 0 2 0 0 34 48 64 0.768189126243368
+11 0 2 0 0 35 48 64 0.697458571236934
+11 0 2 0 0 36 48 64 0.618594748559011
+11 0 2 0 0 37 48 64 0.533102912358249
+11 0 2 0 0 38 48 64 0.441646964417054
+11 0 2 0 0 39 48 64 0.345479731407788
+11 0 2 0 0 40 48 64 0.245409311811909
+11 0 2 0 0 41 48 64 0.143201473159837
+11 0 2 0 0 42 48 64 0.0395176267061775
+11 0 2 0 0 43 48 64 -0.0643310341699245
+11 0 2 0 0 44 48 64 -0.167506965192302
+11 0 2 0 0 45 48 64 -0.26988295581939
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 0.999436992662785
+12 0 2 0 0 28 48 64 0.988541703631413
+12 0 2 0 0 29 48 64 0.970090714268273
+12 0 2 0 0 30 48 64 0.934906903001621
+12 0 2 0 0 31 48 64 0.896319326599637
+12 0 2 0 0 32 48 64 0.842077537695202
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+12 0 2 0 0 35 48 64 0.636301281456171
+12 0 2 0 0 36 48 64 0.551944666175462
+12 0 2 0 0 37 48 64 0.461825518383063
+12 0 2 0 0 38 48 64 0.366454505356591
+12 0 2 0 0 39 48 64 0.26728776070265
+12 0 2 0 0 40 48 64 0.165107946626902
+12 0 2 0 0 41 48 64 0.0617163140466486
+12 0 2 0 0 42 48 64 -0.0422376137522719
+12 0 2 0 0 43 48 64 -0.145692624164484
+12 0 2 0 0 44 48 64 -0.247901225965844
+12 0 2 0 0 45 48 64 -0.348054525231922
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0.617398344547631
+12 0 1 0 0 20 48 64 0.768936185314308
+12 0 1 0 0 22 48 64 0.891195300052413
+12 0 1 0 0 24 48 64 0.960623829901699
+12 0 1 0 0 26 48 64 0.998906711813427
+12 0 1 0 0 28 48 64 0.988541703631413
+12 0 1 0 0 30 48 64 0.934906903001621
+12 0 1 0 0 32 48 64 0.842077537695202
+12 0 1 0 0 34 48 64 0.712893079881278
+12 0 1 0 0 36 48 64 0.551944666175462
+12 0 1 0 0 38 48 64 0.366454505356591
+12 0 1 0 0 40 48 64 0.165107946626902
+12 0 1 0 0 42 48 64 -0.0422376137522719
+12 0 1 0 0 44 48 64 -0.247901225965844
+12 0 1 0 0 46 48 64 -0.444190208182154
+12 0 1 0 0 48 48 64 -0.617761157312865
+12 0 1 0 0 50 48 64 -0.765740694800315
+12 0 1 0 0 52 48 64 -0.885278001597805
+12 0 1 0 0 54 48 64 -0.963803825186627
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -0.943615878124977
+12 0 0 0 0 4 48 64 -0.722688394071916
+12 0 0 0 0 8 48 64 -0.37676865988688
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+12 0 0 0 0 24 48 64 0.960623829901699
+12 0 0 0 0 28 48 64 0.988541703631413
+12 0 0 0 0 32 48 64 0.842077537695202
+12 0 0 0 0 36 48 64 0.551944666175462
+12 0 0 0 0 40 48 64 0.165107946626902
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+12 0 0 0 0 48 48 64 -0.617761157312865
+12 0 0 0 0 52 48 64 -0.885278001597805
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+12 0 0 0 0 60 48 64 -0.943615878124977
+12 0 0 0 0 64 48 64 -0.722688394071916
+12 0 0 0 0 68 48 64 -0.37676865988688
+12 0 0 0 0 72 48 64 0.0343121543287696
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 0.992618037219795
+13 0 2 0 0 28 48 64 0.97295073382607
+13 0 2 0 0 29 48 64 0.946413901489816
+13 0 2 0 0 30 48 64 0.902986090763508
+13 0 2 0 0 31 48 64 0.856759457871654
+13 0 2 0 0 32 48 64 0.794908423328862
+13 0 2 0 0 33 48 64 0.729706221368073
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+13 0 2 0 0 38 48 64 0.288776218631638
+13 0 2 0 0 39 48 64 0.187309950861999
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+13 0 2 0 0 41 48 64 -0.020150143408944
+13 0 2 0 0 42 48 64 -0.123711738284042
+13 0 2 0 0 43 48 64 -0.226106076297873
+13 0 2 0 0 44 48 64 -0.326085347288115
+13 0 2 0 0 45 48 64 -0.423321837019524
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 0.979023703110058
+14 0 2 0 0 28 48 64 0.950657896838194
+14 0 2 0 0 29 48 64 0.916369327760328
+14 0 2 0 0 30 48 64 0.864942478490123
+14 0 2 0 0 31 48 64 0.811386863896716
+14 0 2 0 0 32 48 64 0.742392769572438
+14 0 2 0 0 33 48 64 0.671161727448693
+14 0 2 0 0 34 48 64 0.588097269560414
+14 0 2 0 0 35 48 64 0.50154140770362
+14 0 2 0 0 36 48 64 0.407790367582084
+14 0 2 0 0 37 48 64 0.310378494900831
+14 0 2 0 0 38 48 64 0.209142447318002
+14 0 2 0 0 39 48 64 0.106092744099612
+14 0 2 0 0 40 48 64 0.00188311909249167
+14 0 2 0 0 41 48 64 -0.101866117550044
+14 0 2 0 0 42 48 64 -0.204358085888387
+14 0 2 0 0 43 48 64 -0.305034606454932
+14 0 2 0 0 44 48 64 -0.402602356814535
+14 0 2 0 0 45 48 64 -0.496229249712174
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0.736324766009443
+14 0 1 0 0 20 48 64 0.862372428160186
+14 0 1 0 0 22 48 64 0.955735241570573
+14 0 1 0 0 24 48 64 0.990561419079397
+14 0 1 0 0 26 48 64 0.996062462499241
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+14 0 1 0 0 30 48 64 0.864942478490123
+14 0 1 0 0 32 48 64 0.742392769572438
+14 0 1 0 0 34 48 64 0.588097269560414
+14 0 1 0 0 36 48 64 0.407790367582084
+14 0 1 0 0 38 48 64 0.209142447318002
+14 0 1 0 0 40 48 64 0.00188311909249167
+14 0 1 0 0 42 48 64 -0.204358085888387
+14 0 1 0 0 44 48 64 -0.402602356814535
+14 0 1 0 0 46 48 64 -0.584101674265515
+14 0 1 0 0 48 48 64 -0.736366075521613
+14 0 1 0 0 50 48 64 -0.859223397121987
+14 0 1 0 0 52 48 64 -0.949713933987447
+14 0 1 0 0 54 48 64 -0.99626770991879
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 0.958927399240332
+15 0 2 0 0 28 48 64 0.922025459193271
+15 0 2 0 0 29 48 64 0.880149981028036
+15 0 2 0 0 30 48 64 0.821007997531328
+15 0 2 0 0 31 48 64 0.760512182976108
+15 0 2 0 0 32 48 64 0.684885977163543
+15 0 2 0 0 33 48 64 0.608051996146486
+15 0 2 0 0 34 48 64 0.519447618037372
+15 0 2 0 0 35 48 64 0.428839568407387
+15 0 2 0 0 36 48 64 0.33124132959367
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+15 0 2 0 0 38 48 64 0.128099443464029
+15 0 2 0 0 39 48 64 0.0241898388195493
+15 0 2 0 0 40 48 64 -0.0799490081055107
+15 0 2 0 0 41 48 64 -0.182899114370567
+15 0 2 0 0 42 48 64 -0.283661546088099
+15 0 2 0 0 43 48 64 -0.381948706254511
+15 0 2 0 0 44 48 64 -0.47587710032362
+15 0 2 0 0 45 48 64 -0.565262245816008
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 0.932173668542882
+16 0 2 0 0 28 48 64 0.886932665382805
+16 0 2 0 0 29 48 64 0.837996963975109
+16 0 2 0 0 30 48 64 0.771468628383565
+16 0 2 0 0 31 48 64 0.704486830599887
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+16 0 2 0 0 34 48 64 0.447254749195197
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+16 0 2 0 0 36 48 64 0.252393062663056
+16 0 2 0 0 37 48 64 0.150548134389386
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+16 0 2 0 0 39 48 64 -0.0578417448001501
+16 0 2 0 0 40 48 64 -0.161206617928903
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+16 0 2 0 0 43 48 64 -0.456321083548988
+16 0 2 0 0 44 48 64 -0.54643462922253
+16 0 2 0 0 45 48 64 -0.630931643559442
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0.838850933362769
+16 0 1 0 0 20 48 64 0.935540547645333
+16 0 1 0 0 22 48 64 0.994488866820748
+16 0 1 0 0 24 48 64 0.993790164123184
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+16 0 1 0 0 32 48 64 0.622770373351595
+16 0 1 0 0 34 48 64 0.447254749195197
+16 0 1 0 0 36 48 64 0.252393062663056
+16 0 1 0 0 38 48 64 0.0462049942665864
+16 0 1 0 0 40 48 64 -0.161206617928903
+16 0 1 0 0 42 48 64 -0.361074842815271
+16 0 1 0 0 44 48 64 -0.54643462922253
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+16 0 1 0 0 50 48 64 -0.930066233899338
+16 0 1 0 0 52 48 64 -0.991108313412968
+16 0 1 0 0 54 48 64 -1.00350008646033
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -0.785400983552274
+16 0 0 0 0 4 48 64 -0.462470086885686
+16 0 0 0 0 8 48 64 -0.0594243413235221
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+16 0 0 0 0 36 48 64 0.252393062663056
+16 0 0 0 0 40 48 64 -0.161206617928903
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+16 0 0 0 0 52 48 64 -0.991108313412968
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+16 0 0 0 0 60 48 64 -0.785400983552274
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+16 0 0 0 0 68 48 64 -0.0594243413235221
+16 0 0 0 0 72 48 64 0.353919660461266
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 0.899324307121523
+17 0 2 0 0 28 48 64 0.846003214645581
+17 0 2 0 0 29 48 64 0.790188721684464
+17 0 2 0 0 30 48 64 0.716644650041448
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+17 0 2 0 0 39 48 64 -0.139445497497659
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+17 0 2 0 0 44 48 64 -0.612804928497989
+17 0 2 0 0 45 48 64 -0.691858880950144
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 0.860092882486103
+18 0 2 0 0 28 48 64 0.799029207235338
+18 0 2 0 0 29 48 64 0.737052229006281
+18 0 2 0 0 30 48 64 0.656913092287482
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+18 0 2 0 0 35 48 64 0.195349675174987
+18 0 2 0 0 36 48 64 0.0900006603758642
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+18 0 2 0 0 39 48 64 -0.22006898926752
+18 0 2 0 0 40 48 64 -0.319870916984534
+18 0 2 0 0 41 48 64 -0.416624093619561
+18 0 2 0 0 42 48 64 -0.508164727742772
+18 0 2 0 0 43 48 64 -0.595412266996054
+18 0 2 0 0 44 48 64 -0.675478003154424
+18 0 2 0 0 45 48 64 -0.748516131962092
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0.916538031052666
+18 0 1 0 0 20 48 64 0.981617002960029
+18 0 1 0 0 22 48 64 1.00633759825742
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+18 0 1 0 0 36 48 64 0.0900006603758642
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+18 0 1 0 0 42 48 64 -0.508164727742772
+18 0 1 0 0 44 48 64 -0.675478003154424
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+18 0 1 0 0 50 48 64 -0.976532058482793
+18 0 1 0 0 52 48 64 -1.00530824702886
+18 0 1 0 0 54 48 64 -0.984035770728606
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 0.815350440001792
+19 0 2 0 0 28 48 64 0.746886467214306
+19 0 2 0 0 29 48 64 0.678950926931599
+19 0 2 0 0 30 48 64 0.592673535172691
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+19 0 2 0 0 34 48 64 0.214596499523822
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+19 0 2 0 0 36 48 64 0.00761195522317316
+19 0 2 0 0 37 48 64 -0.0951966033307777
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+19 0 2 0 0 40 48 64 -0.396233898084331
+19 0 2 0 0 41 48 64 -0.489664323791891
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+19 0 2 0 0 43 48 64 -0.659163628006995
+19 0 2 0 0 44 48 64 -0.733141485930393
+19 0 2 0 0 45 48 64 -0.799716353424731
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 0.764659415205309
+20 0 2 0 0 28 48 64 0.68928305322841
+20 0 2 0 0 29 48 64 0.616292153577239
+20 0 2 0 0 30 48 64 0.524378149893508
+20 0 2 0 0 31 48 64 0.437118042561305
+20 0 2 0 0 32 48 64 0.336769951560306
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+20 0 2 0 0 34 48 64 0.133507959147627
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+20 0 2 0 0 39 48 64 -0.376209049318906
+20 0 2 0 0 40 48 64 -0.469939630960516
+20 0 2 0 0 41 48 64 -0.55942056590355
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+20 0 2 0 0 43 48 64 -0.718448687753992
+20 0 2 0 0 44 48 64 -0.78623283257971
+20 0 2 0 0 45 48 64 -0.845865294455396
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0.971754160609055
+20 0 1 0 0 20 48 64 1.00287630770751
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+20 0 1 0 0 24 48 64 0.921059037677398
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+20 0 1 0 0 28 48 64 0.68928305322841
+20 0 1 0 0 30 48 64 0.524378149893508
+20 0 1 0 0 32 48 64 0.336769951560306
+20 0 1 0 0 34 48 64 0.133507959147627
+20 0 1 0 0 36 48 64 -0.0747771250552153
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+20 0 1 0 0 42 48 64 -0.641568233167656
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+20 0 1 0 0 50 48 64 -0.997378067034926
+20 0 1 0 0 52 48 64 -0.993698032450287
+20 0 1 0 0 54 48 64 -0.938112736618853
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -0.544109835381725
+20 0 0 0 0 4 48 64 -0.152945249728061
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+20 0 0 0 0 20 48 64 1.00287630770751
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+20 0 0 0 0 52 48 64 -0.993698032450287
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+20 0 0 0 0 64 48 64 -0.152945249728061
+20 0 0 0 0 68 48 64 0.265013709557117
+20 0 0 0 0 72 48 64 0.637111051807843
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 0.709203494041008
+21 0 2 0 0 28 48 64 0.627330757603175
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+21 0 2 0 0 41 48 64 -0.62540490230332
+21 0 2 0 0 42 48 64 -0.701964897675098
+21 0 2 0 0 43 48 64 -0.772863103225423
+21 0 2 0 0 44 48 64 -0.833644915998117
+21 0 2 0 0 45 48 64 -0.886011731494551
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 0.648391123493553
+22 0 2 0 0 28 48 64 0.56065898289676
+22 0 2 0 0 29 48 64 0.479083411508102
+22 0 2 0 0 30 48 64 0.377500286121423
+22 0 2 0 0 31 48 64 0.284039325741387
+22 0 2 0 0 32 48 64 0.177928041599695
+22 0 2 0 0 33 48 64 0.0773956073089265
+22 0 2 0 0 34 48 64 -0.0305932199269395
+22 0 2 0 0 35 48 64 -0.131723748711327
+22 0 2 0 0 36 48 64 -0.237161635947279
+22 0 2 0 0 37 48 64 -0.334498276862467
+22 0 2 0 0 38 48 64 -0.43162079257845
+22 0 2 0 0 39 48 64 -0.522074569828438
+22 0 2 0 0 40 48 64 -0.607437306927062
+22 0 2 0 0 41 48 64 -0.687156338965408
+22 0 2 0 0 42 48 64 -0.757586796906891
+22 0 2 0 0 43 48 64 -0.822032717413413
+22 0 2 0 0 44 48 64 -0.875746778553701
+22 0 2 0 0 45 48 64 -0.920466396288029
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 0.999688374688144
+22 0 1 0 0 20 48 64 0.996503878030569
+22 0 1 0 0 22 48 64 0.948945107646476
+22 0 1 0 0 24 48 64 0.847164689235263
+22 0 1 0 0 26 48 64 0.728359837769123
+22 0 1 0 0 28 48 64 0.56065898289676
+22 0 1 0 0 30 48 64 0.377500286121423
+22 0 1 0 0 32 48 64 0.177928041599695
+22 0 1 0 0 34 48 64 -0.0305932199269395
+22 0 1 0 0 36 48 64 -0.237161635947279
+22 0 1 0 0 38 48 64 -0.43162079257845
+22 0 1 0 0 40 48 64 -0.607437306927062
+22 0 1 0 0 42 48 64 -0.757586796906891
+22 0 1 0 0 44 48 64 -0.875746778553701
+22 0 1 0 0 46 48 64 -0.955141416195149
+22 0 1 0 0 48 48 64 -0.992694621011917
+22 0 1 0 0 50 48 64 -0.992095985435333
+22 0 1 0 0 52 48 64 -0.956028900094727
+22 0 1 0 0 54 48 64 -0.868466644121628
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 0.58369914321658
+23 0 2 0 0 28 48 64 0.490586722464473
+23 0 2 0 0 29 48 64 0.405492653058136
+23 0 2 0 0 30 48 64 0.299918530418444
+23 0 2 0 0 31 48 64 0.204444187419277
+23 0 2 0 0 32 48 64 0.0963691133605442
+23 0 2 0 0 33 48 64 -0.00472859299936251
+23 0 2 0 0 34 48 64 -0.112483627903193
+23 0 2 0 0 35 48 64 -0.212537346998359
+23 0 2 0 0 36 48 64 -0.315994455858404
+23 0 2 0 0 37 48 64 -0.410287074779038
+23 0 2 0 0 38 48 64 -0.503954114665762
+23 0 2 0 0 39 48 64 -0.589931315461796
+23 0 2 0 0 40 48 64 -0.670307460773245
+23 0 2 0 0 41 48 64 -0.744243274973077
+23 0 2 0 0 42 48 64 -0.808067023392194
+23 0 2 0 0 43 48 64 -0.8656345080958
+23 0 2 0 0 44 48 64 -0.911670686754033
+23 0 2 0 0 45 48 64 -0.948554466665273
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 0.514391907141441
+24 0 2 0 0 28 48 64 0.416674311854545
+24 0 2 0 0 29 48 64 0.329249127477285
+24 0 2 0 0 30 48 64 0.220278045107541
+24 0 2 0 0 31 48 64 0.123533660079348
+24 0 2 0 0 32 48 64 0.0141208557721461
+24 0 2 0 0 33 48 64 -0.0867245584335367
+24 0 2 0 0 34 48 64 -0.193536156657562
+24 0 2 0 0 35 48 64 -0.291836378113338
+24 0 2 0 0 36 48 64 -0.392525077038734
+24 0 2 0 0 37 48 64 -0.483253178769624
+24 0 2 0 0 38 48 64 -0.572867406785824
+24 0 2 0 0 39 48 64 -0.653802522298804
+24 0 2 0 0 40 48 64 -0.7286820695403
+24 0 2 0 0 41 48 64 -0.796272394753295
+24 0 2 0 0 42 48 64 -0.853063348150294
+24 0 2 0 0 43 48 64 -0.903381016592451
+24 0 2 0 0 44 48 64 -0.94170588509659
+24 0 2 0 0 45 48 64 -0.970470347564392
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 1.00152501754253
+24 0 1 0 0 20 48 64 0.963437908548268
+24 0 1 0 0 22 48 64 0.881297734535772
+24 0 1 0 0 24 48 64 0.75069641656794
+24 0 1 0 0 26 48 64 0.605984870431305
+24 0 1 0 0 28 48 64 0.416674311854545
+24 0 1 0 0 30 48 64 0.220278045107541
+24 0 1 0 0 32 48 64 0.0141208557721461
+24 0 1 0 0 34 48 64 -0.193536156657562
+24 0 1 0 0 36 48 64 -0.392525077038734
+24 0 1 0 0 38 48 64 -0.572867406785824
+24 0 1 0 0 40 48 64 -0.7286820695403
+24 0 1 0 0 42 48 64 -0.853063348150294
+24 0 1 0 0 44 48 64 -0.94170588509659
+24 0 1 0 0 46 48 64 -0.988907594669129
+24 0 1 0 0 48 48 64 -0.994481385639361
+24 0 1 0 0 50 48 64 -0.960715984679717
+24 0 1 0 0 52 48 64 -0.892383773156353
+24 0 1 0 0 54 48 64 -0.77391612695477
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -0.244974042026764
+24 0 0 0 0 4 48 64 0.173462004643304
+24 0 0 0 0 8 48 64 0.562406504720607
+24 0 0 0 0 12 48 64 0.853869709580458
+24 0 0 0 0 16 48 64 0.995679115573382
+24 0 0 0 0 20 48 64 0.963437908548268
+24 0 0 0 0 24 48 64 0.75069641656794
+24 0 0 0 0 28 48 64 0.416674311854545
+24 0 0 0 0 32 48 64 0.0141208557721461
+24 0 0 0 0 36 48 64 -0.392525077038734
+24 0 0 0 0 40 48 64 -0.7286820695403
+24 0 0 0 0 44 48 64 -0.94170588509659
+24 0 0 0 0 48 48 64 -0.994481385639361
+24 0 0 0 0 52 48 64 -0.892383773156353
+24 0 0 0 0 56 48 64 -0.621405683333826
+24 0 0 0 0 60 48 64 -0.244974042026764
+24 0 0 0 0 64 48 64 0.173462004643304
+24 0 0 0 0 68 48 64 0.562406504720607
+24 0 0 0 0 72 48 64 0.853869709580458
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.yl
new file mode 100644
index 000000000..52548611d
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.yl
@@ -0,0 +1,1397 @@
+# HYDROTOY::u y (u)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0.800541240924359
+0 0 2 0 0 36 40 64 0.84125353283118
+0 0 2 0 0 36 41 64 0.877678989567255
+0 0 2 0 0 36 42 64 0.909631995354518
+0 0 2 0 0 36 43 64 0.936949724999761
+0 0 2 0 0 36 44 64 0.959492973614497
+0 0 2 0 0 36 45 64 0.977146865971159
+0 0 2 0 0 36 46 64 0.989821441880933
+0 0 2 0 0 36 47 64 0.997452114610254
+0 0 2 0 0 36 48 64 1
+0 0 2 0 0 36 49 64 0.997452114610254
+0 0 2 0 0 36 50 64 0.989821441880933
+0 0 2 0 0 36 51 64 0.977146865971159
+0 0 2 0 0 36 52 64 0.959492973614497
+0 0 2 0 0 36 53 64 0.936949724999761
+0 0 2 0 0 36 54 64 0.909631995354518
+0 0 2 0 0 36 55 64 0.877678989567255
+0 0 2 0 0 36 56 64 0.84125353283118
+0 0 2 0 0 36 57 64 0.800541240924359
+0 0 2 0 0 36 58 64 0.755749574354257
+0 0 2 0 0 36 59 64 0.707106781186546
+0 0 2 0 0 36 60 64 0.654860733945283
+0 0 2 0 0 36 61 64 0.599277666511345
+0 0 2 0 0 36 62 64 0.540640817455595
+0 0 2 0 0 36 63 64 0.479248986720054
+0 0 2 0 0 36 64 64 0.415415013001883
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 -4.60170638573454e-15
+0 0 1 0 0 36 28 64 0.142314838273281
+0 0 1 0 0 36 30 64 0.281732556841426
+0 0 1 0 0 36 32 64 0.415415013001883
+0 0 1 0 0 36 34 64 0.540640817455595
+0 0 1 0 0 36 36 64 0.654860733945283
+0 0 1 0 0 36 38 64 0.755749574354257
+0 0 1 0 0 36 40 64 0.84125353283118
+0 0 1 0 0 36 42 64 0.909631995354518
+0 0 1 0 0 36 44 64 0.959492973614497
+0 0 1 0 0 36 46 64 0.989821441880933
+0 0 1 0 0 36 48 64 1
+0 0 1 0 0 36 50 64 0.989821441880933
+0 0 1 0 0 36 52 64 0.959492973614497
+0 0 1 0 0 36 54 64 0.909631995354518
+0 0 1 0 0 36 56 64 0.84125353283118
+0 0 1 0 0 36 58 64 0.755749574354257
+0 0 1 0 0 36 60 64 0.654860733945283
+0 0 1 0 0 36 62 64 0.540640817455595
+0 0 1 0 0 36 64 64 0.415415013001883
+0 0 1 0 0 36 66 64 0.281732556841426
+0 0 1 0 0 36 68 64 0.142314838273281
+0 0 1 0 0 36 70 64 -4.82375099065957e-15
+0 0 1 0 0 36 72 64 -0.142314838273291
+0 0 1 0 0 36 74 64 -0.281732556841435
+0 0 1 0 0 36 76 64 -0.415415013001892
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -0.959492973614494
+0 0 0 0 0 36 4 64 -1
+0 0 0 0 0 36 8 64 -0.9594929736145
+0 0 0 0 0 36 12 64 -0.841253532831185
+0 0 0 0 0 36 16 64 -0.65486073394529
+0 0 0 0 0 36 20 64 -0.415415013001892
+0 0 0 0 0 36 24 64 -0.14231483827329
+0 0 0 0 0 36 28 64 0.142314838273281
+0 0 0 0 0 36 32 64 0.415415013001883
+0 0 0 0 0 36 36 64 0.654860733945283
+0 0 0 0 0 36 40 64 0.84125353283118
+0 0 0 0 0 36 44 64 0.959492973614497
+0 0 0 0 0 36 48 64 1
+0 0 0 0 0 36 52 64 0.959492973614497
+0 0 0 0 0 36 56 64 0.84125353283118
+0 0 0 0 0 36 60 64 0.654860733945283
+0 0 0 0 0 36 64 64 0.415415013001883
+0 0 0 0 0 36 68 64 0.142314838273281
+0 0 0 0 0 36 72 64 -0.142314838273291
+0 0 0 0 0 36 76 64 -0.415415013001892
+0 0 0 0 0 36 80 64 -0.65486073394529
+0 0 0 0 0 36 84 64 -0.841253532831186
+0 0 0 0 0 36 88 64 -0.9594929736145
+0 0 0 0 0 36 92 64 -1
+0 0 0 0 0 36 96 64 -0.959492973614494
+0 0 0 0 0 36 100 64 -0.841253532831175
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 0.846843758495474
+1 0 2 0 0 36 40 64 0.882638189143393
+1 0 2 0 0 36 41 64 0.914213976110396
+1 0 2 0 0 36 42 64 0.940661561082913
+1 0 2 0 0 36 43 64 0.962474734286847
+1 0 2 0 0 36 44 64 0.979383356863803
+1 0 2 0 0 36 45 64 0.99130126634893
+1 0 2 0 0 36 46 64 0.998167731807322
+1 0 2 0 0 36 47 64 0.999947763304937
+1 0 2 0 0 36 48 64 0.996632290209284
+1 0 2 0 0 36 49 64 0.988238207411283
+1 0 2 0 0 36 50 64 0.974808289232777
+1 0 2 0 0 36 51 64 0.956410971458392
+1 0 2 0 0 36 52 64 0.933140002602462
+1 0 2 0 0 36 53 64 0.905113966188094
+1 0 2 0 0 36 54 64 0.872475676472715
+1 0 2 0 0 36 55 64 0.835391450699347
+1 0 2 0 0 36 56 64 0.794050261582068
+1 0 2 0 0 36 57 64 0.748662774344369
+1 0 2 0 0 36 58 64 0.699460273217473
+1 0 2 0 0 36 59 64 0.646693482868899
+1 0 2 0 0 36 60 64 0.590631290767033
+1 0 2 0 0 36 61 64 0.531559376992222
+1 0 2 0 0 36 62 64 0.469702903155495
+1 0 2 0 0 36 63 64 0.405942513358111
+1 0 2 0 0 36 64 64 0.339713376545664
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 0.887735080968129
+2 0 2 0 0 36 40 64 0.918335765219103
+2 0 2 0 0 36 41 64 0.944576634541874
+2 0 2 0 0 36 42 64 0.965246999431349
+2 0 2 0 0 36 43 64 0.981511414263247
+2 0 2 0 0 36 44 64 0.992666300213519
+2 0 2 0 0 36 45 64 0.998767754485118
+2 0 2 0 0 36 46 64 0.999779717217912
+2 0 2 0 0 36 47 64 0.995697031681777
+2 0 2 0 0 36 48 64 0.98654050230637
+2 0 2 0 0 36 49 64 0.972356788666525
+2 0 2 0 0 36 50 64 0.953218167715751
+2 0 2 0 0 36 51 64 0.929222165479449
+2 0 2 0 0 36 52 64 0.90049106008464
+2 0 2 0 0 36 53 64 0.867171258658657
+2 0 2 0 0 36 54 64 0.829432551271984
+2 0 2 0 0 36 55 64 0.78746724572698
+2 0 2 0 0 36 56 64 0.741489187601393
+2 0 2 0 0 36 57 64 0.691732670540316
+2 0 2 0 0 36 58 64 0.63845124234948
+2 0 2 0 0 36 59 64 0.581916412973748
+2 0 2 0 0 36 60 64 0.522413900465893
+2 0 2 0 0 36 61 64 0.460224719879587
+2 0 2 0 0 36 62 64 0.395606483106318
+2 0 2 0 0 36 63 64 0.329501301393974
+2 0 2 0 0 36 64 64 0.261303073357463
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 0.160432558454101
+2 0 1 0 0 36 28 64 0.299355363480423
+2 0 1 0 0 36 30 64 0.434887450436028
+2 0 1 0 0 36 32 64 0.55844492057536
+2 0 1 0 0 36 34 64 0.670832090622102
+2 0 1 0 0 36 36 64 0.76956305382378
+2 0 1 0 0 36 38 64 0.852627932486192
+2 0 1 0 0 36 40 64 0.918335765219103
+2 0 1 0 0 36 42 64 0.965246999431349
+2 0 1 0 0 36 44 64 0.992666300213519
+2 0 1 0 0 36 46 64 0.999779717217912
+2 0 1 0 0 36 48 64 0.98654050230637
+2 0 1 0 0 36 50 64 0.953218167715751
+2 0 1 0 0 36 52 64 0.90049106008464
+2 0 1 0 0 36 54 64 0.829432551271984
+2 0 1 0 0 36 56 64 0.741489187601393
+2 0 1 0 0 36 58 64 0.63845124234948
+2 0 1 0 0 36 60 64 0.522413900465893
+2 0 1 0 0 36 62 64 0.395606483106318
+2 0 1 0 0 36 64 64 0.261303073357463
+2 0 1 0 0 36 66 64 0.121259907983552
+2 0 1 0 0 36 68 64 -0.0212517594322059
+2 0 1 0 0 36 70 64 -0.163330802310938
+2 0 1 0 0 36 72 64 -0.301789547539521
+2 0 1 0 0 36 74 64 -0.432092373697179
+2 0 1 0 0 36 76 64 -0.556165730036812
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0.922403923088012
+3 0 2 0 0 36 40 64 0.947623889687703
+3 0 2 0 0 36 41 64 0.96854865179105
+3 0 2 0 0 36 42 64 0.983237066340403
+3 0 2 0 0 36 43 64 0.993941035760071
+3 0 2 0 0 36 44 64 0.999246131945411
+3 0 2 0 0 36 45 64 0.999496035175371
+3 0 2 0 0 36 46 64 0.994646446055412
+3 0 2 0 0 36 47 64 0.98472852189746
+3 0 2 0 0 36 48 64 0.969792646911889
+3 0 2 0 0 36 49 64 0.949914930894018
+3 0 2 0 0 36 50 64 0.925196666128293
+3 0 2 0 0 36 51 64 0.895763811226027
+3 0 2 0 0 36 52 64 0.861766349269188
+3 0 2 0 0 36 53 64 0.823377523530993
+3 0 2 0 0 36 54 64 0.780792954667897
+3 0 2 0 0 36 55 64 0.734229643881571
+3 0 2 0 0 36 56 64 0.683924867130515
+3 0 2 0 0 36 57 64 0.630134966026168
+3 0 2 0 0 36 58 64 0.573133967497345
+3 0 2 0 0 36 59 64 0.51321039612458
+3 0 2 0 0 36 60 64 0.45066526947718
+3 0 2 0 0 36 61 64 0.385763301048234
+3 0 2 0 0 36 62 64 0.318843048487129
+3 0 2 0 0 36 63 64 0.251068361548999
+3 0 2 0 0 36 64 64 0.181622729233937
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0.95110537570999
+4 0 2 0 0 36 40 64 0.970743353006063
+4 0 2 0 0 36 41 64 0.985965479541082
+4 0 2 0 0 36 42 64 0.994523194095754
+4 0 2 0 0 36 43 64 0.999685297051554
+4 0 2 0 0 36 44 64 0.999067312823913
+4 0 2 0 0 36 45 64 0.993482200155461
+4 0 2 0 0 36 46 64 0.982802196788913
+4 0 2 0 0 36 47 64 0.967116164528913
+4 0 2 0 0 36 48 64 0.946501642314714
+4 0 2 0 0 36 49 64 0.921063969540669
+4 0 2 0 0 36 50 64 0.890932765904596
+4 0 2 0 0 36 51 64 0.856261573113533
+4 0 2 0 0 36 52 64 0.817227067618596
+4 0 2 0 0 36 53 64 0.774028160312276
+4 0 2 0 0 36 54 64 0.726884982924133
+4 0 2 0 0 36 55 64 0.676037766279953
+4 0 2 0 0 36 56 64 0.621745613825609
+4 0 2 0 0 36 57 64 0.564285086385888
+4 0 2 0 0 36 58 64 0.503948628181959
+4 0 2 0 0 36 59 64 0.441036010021081
+4 0 2 0 0 36 60 64 0.37586556784684
+4 0 2 0 0 36 61 64 0.308702283180952
+4 0 2 0 0 36 62 64 0.239944774644492
+4 0 2 0 0 36 63 64 0.170699713817812
+4 0 2 0 0 36 64 64 0.100192802242866
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0.320195163949167
+4 0 1 0 0 36 28 64 0.452002019295973
+4 0 1 0 0 36 30 64 0.576437219105059
+4 0 1 0 0 36 32 64 0.686273359409448
+4 0 1 0 0 36 34 64 0.783037566642035
+4 0 1 0 0 36 36 64 0.863619219378005
+4 0 1 0 0 36 38 64 0.926623078325413
+4 0 1 0 0 36 40 64 0.970743353006063
+4 0 1 0 0 36 42 64 0.994523194095754
+4 0 1 0 0 36 44 64 0.999067312823913
+4 0 1 0 0 36 46 64 0.982802196788913
+4 0 1 0 0 36 48 64 0.946501642314714
+4 0 1 0 0 36 50 64 0.890932765904596
+4 0 1 0 0 36 52 64 0.817227067618596
+4 0 1 0 0 36 54 64 0.726884982924133
+4 0 1 0 0 36 56 64 0.621745613825609
+4 0 1 0 0 36 58 64 0.503948628181959
+4 0 1 0 0 36 60 64 0.37586556784684
+4 0 1 0 0 36 62 64 0.239944774644492
+4 0 1 0 0 36 64 64 0.100192802242866
+4 0 1 0 0 36 66 64 -0.0425108546185317
+4 0 1 0 0 36 68 64 -0.184267513912292
+4 0 1 0 0 36 70 64 -0.322024676883886
+4 0 1 0 0 36 72 64 -0.453152121957099
+4 0 1 0 0 36 74 64 -0.574468832385415
+4 0 1 0 0 36 76 64 -0.685417277112103
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 -1.00051323460778
+4 0 0 0 0 36 4 64 -0.948719671596804
+4 0 0 0 0 36 8 64 -0.820066483046201
+4 0 0 0 0 36 12 64 -0.624976385162354
+4 0 0 0 0 36 16 64 -0.379254417430333
+4 0 0 0 0 36 20 64 -0.102807512310972
+4 0 0 0 0 36 24 64 0.181968246036004
+4 0 0 0 0 36 28 64 0.452002019295973
+4 0 0 0 0 36 32 64 0.686273359409448
+4 0 0 0 0 36 36 64 0.863619219378005
+4 0 0 0 0 36 40 64 0.970743353006063
+4 0 0 0 0 36 44 64 0.999067312823913
+4 0 0 0 0 36 48 64 0.946501642314714
+4 0 0 0 0 36 52 64 0.817227067618596
+4 0 0 0 0 36 56 64 0.621745613825609
+4 0 0 0 0 36 60 64 0.37586556784684
+4 0 0 0 0 36 64 64 0.100192802242866
+4 0 0 0 0 36 68 64 -0.184267513912292
+4 0 0 0 0 36 72 64 -0.453152121957099
+4 0 0 0 0 36 76 64 -0.685417277112103
+4 0 0 0 0 36 80 64 -0.863304103470106
+4 0 0 0 0 36 84 64 -0.971251165632156
+4 0 0 0 0 36 88 64 -1.00051323460778
+4 0 0 0 0 36 92 64 -0.948719671596804
+4 0 0 0 0 36 96 64 -0.820066483046201
+4 0 0 0 0 36 100 64 -0.624976385162354
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0.973228802297975
+5 0 2 0 0 36 40 64 0.987151003241097
+5 0 2 0 0 36 41 64 0.996707485026946
+5 0 2 0 0 36 42 64 0.999064156677068
+5 0 2 0 0 36 43 64 0.998707772465216
+5 0 2 0 0 36 44 64 0.99211759371913
+5 0 2 0 0 36 45 64 0.980769001191977
+5 0 2 0 0 36 46 64 0.96432553625048
+5 0 2 0 0 36 47 64 0.942978761301711
+5 0 2 0 0 36 48 64 0.916824524749787
+5 0 2 0 0 36 49 64 0.885998465893542
+5 0 2 0 0 36 50 64 0.850657550229862
+5 0 2 0 0 36 51 64 0.810981878709236
+5 0 2 0 0 36 52 64 0.767173629546858
+5 0 2 0 0 36 53 64 0.719456039304644
+5 0 2 0 0 36 54 64 0.668072266039995
+5 0 2 0 0 36 55 64 0.613284145135827
+5 0 2 0 0 36 56 64 0.555370841525989
+5 0 2 0 0 36 57 64 0.494626846043916
+5 0 2 0 0 36 58 64 0.431360928885677
+5 0 2 0 0 36 59 64 0.365877828867326
+5 0 2 0 0 36 60 64 0.298518577417631
+5 0 2 0 0 36 61 64 0.229571055089493
+5 0 2 0 0 36 62 64 0.159465190271741
+5 0 2 0 0 36 63 64 0.0894514189251538
+5 0 2 0 0 36 64 64 0.0186097545022283
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0.988921189774504
+6 0 2 0 0 36 40 64 0.997027891037166
+6 0 2 0 0 36 41 64 1.00071187800735
+6 0 2 0 0 36 42 64 0.996857442814982
+6 0 2 0 0 36 43 64 0.9910121114486
+6 0 2 0 0 36 44 64 0.978431547898393
+6 0 2 0 0 36 45 64 0.961445343459516
+6 0 2 0 0 36 46 64 0.939337964980308
+6 0 2 0 0 36 47 64 0.912479219823803
+6 0 2 0 0 36 48 64 0.880961227748025
+6 0 2 0 0 36 49 64 0.844954804480292
+6 0 2 0 0 36 50 64 0.804642553902948
+6 0 2 0 0 36 51 64 0.760230032618729
+6 0 2 0 0 36 52 64 0.711943554387565
+6 0 2 0 0 36 53 64 0.660029173361655
+6 0 2 0 0 36 54 64 0.604751434975068
+6 0 2 0 0 36 55 64 0.546391979273503
+6 0 2 0 0 36 56 64 0.485248107455337
+6 0 2 0 0 36 57 64 0.421629260462816
+6 0 2 0 0 36 58 64 0.355858949998583
+6 0 2 0 0 36 59 64 0.288242553423156
+6 0 2 0 0 36 60 64 0.219148037400001
+6 0 2 0 0 36 61 64 0.148927242040753
+6 0 2 0 0 36 62 64 0.0779501376618205
+6 0 2 0 0 36 63 64 0.00731235311659914
+6 0 2 0 0 36 64 64 -0.0636585680273028
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0.467911509348912
+6 0 1 0 0 36 28 64 0.589255846106157
+6 0 1 0 0 36 30 64 0.702501806054214
+6 0 1 0 0 36 32 64 0.795479566795861
+6 0 1 0 0 36 34 64 0.87425996779985
+6 0 1 0 0 36 36 64 0.934486367144312
+6 0 1 0 0 36 38 64 0.975722588986564
+6 0 1 0 0 36 40 64 0.997027891037166
+6 0 1 0 0 36 42 64 0.996857442814982
+6 0 1 0 0 36 44 64 0.978431547898393
+6 0 1 0 0 36 46 64 0.939337964980308
+6 0 1 0 0 36 48 64 0.880961227748025
+6 0 1 0 0 36 50 64 0.804642553902948
+6 0 1 0 0 36 52 64 0.711943554387565
+6 0 1 0 0 36 54 64 0.604751434975068
+6 0 1 0 0 36 56 64 0.485248107455337
+6 0 1 0 0 36 58 64 0.355858949998583
+6 0 1 0 0 36 60 64 0.219148037400001
+6 0 1 0 0 36 62 64 0.0779501376618205
+6 0 1 0 0 36 64 64 -0.0636585680273028
+6 0 1 0 0 36 66 64 -0.205192341027414
+6 0 1 0 0 36 68 64 -0.342326808268247
+6 0 1 0 0 36 70 64 -0.471849963327002
+6 0 1 0 0 36 72 64 -0.592212577838032
+6 0 1 0 0 36 74 64 -0.699113028947863
+6 0 1 0 0 36 76 64 -0.793912736129098
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 0.997876882997989
+7 0 2 0 0 36 40 64 1.00010255933115
+7 0 2 0 0 36 41 64 0.997958341750875
+7 0 2 0 0 36 42 64 0.987951833905678
+7 0 2 0 0 36 43 64 0.976644277459009
+7 0 2 0 0 36 44 64 0.95809386944128
+7 0 2 0 0 36 45 64 0.935644858876132
+7 0 2 0 0 36 46 64 0.908002407075992
+7 0 2 0 0 36 47 64 0.875823404375184
+7 0 2 0 0 36 48 64 0.839152841904983
+7 0 2 0 0 36 49 64 0.798209388867865
+7 0 2 0 0 36 50 64 0.753197710472579
+7 0 2 0 0 36 51 64 0.704347945817723
+7 0 2 0 0 36 52 64 0.651908987178792
+7 0 2 0 0 36 53 64 0.596148039146837
+7 0 2 0 0 36 54 64 0.537349256265124
+7 0 2 0 0 36 55 64 0.475812058733377
+7 0 2 0 0 36 56 64 0.411849847673253
+7 0 2 0 0 36 57 64 0.345783304453782
+7 0 2 0 0 36 58 64 0.277950018731586
+7 0 2 0 0 36 59 64 0.208656492510936
+7 0 2 0 0 36 60 64 0.138296343395024
+7 0 2 0 0 36 61 64 0.0673157785608875
+7 0 2 0 0 36 62 64 -0.00404024110071891
+7 0 2 0 0 36 63 64 -0.0745317055590793
+7 0 2 0 0 36 64 64 -0.144985028983082
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 1.00012361314013
+8 0 2 0 0 36 40 64 0.996465493810756
+8 0 2 0 0 36 41 64 0.988479605630784
+8 0 2 0 0 36 42 64 0.972429476548153
+8 0 2 0 0 36 43 64 0.955692364465681
+8 0 2 0 0 36 44 64 0.931241073851453
+8 0 2 0 0 36 45 64 0.903543785435992
+8 0 2 0 0 36 46 64 0.87052187761938
+8 0 2 0 0 36 47 64 0.833258544121521
+8 0 2 0 0 36 48 64 0.791679348020936
+8 0 2 0 0 36 49 64 0.746076454448277
+8 0 2 0 0 36 50 64 0.696668899390138
+8 0 2 0 0 36 51 64 0.643711496251945
+8 0 2 0 0 36 52 64 0.587473870194757
+8 0 2 0 0 36 53 64 0.528242566704537
+8 0 2 0 0 36 54 64 0.466319453871886
+8 0 2 0 0 36 55 64 0.402019394782116
+8 0 2 0 0 36 56 64 0.335669865516839
+8 0 2 0 0 36 57 64 0.26759867800249
+8 0 2 0 0 36 58 64 0.198157758234811
+8 0 2 0 0 36 59 64 0.127662104910621
+8 0 2 0 0 36 60 64 0.0565169969397587
+8 0 2 0 0 36 61 64 -0.0146965980972927
+8 0 2 0 0 36 62 64 -0.0859595183429788
+8 0 2 0 0 36 63 64 -0.156253862809014
+8 0 2 0 0 36 64 64 -0.225912007152656
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0.607480707319265
+8 0 1 0 0 36 28 64 0.714783163782234
+8 0 1 0 0 36 30 64 0.809665280266265
+8 0 1 0 0 36 32 64 0.882977660552486
+8 0 1 0 0 36 34 64 0.942044115260511
+8 0 1 0 0 36 36 64 0.980223890750315
+8 0 1 0 0 36 38 64 0.998565812355346
+8 0 1 0 0 36 40 64 0.996465493810756
+8 0 1 0 0 36 42 64 0.972429476548153
+8 0 1 0 0 36 44 64 0.931241073851453
+8 0 1 0 0 36 46 64 0.87052187761938
+8 0 1 0 0 36 48 64 0.791679348020936
+8 0 1 0 0 36 50 64 0.696668899390138
+8 0 1 0 0 36 52 64 0.587473870194757
+8 0 1 0 0 36 54 64 0.466319453871886
+8 0 1 0 0 36 56 64 0.335669865516839
+8 0 1 0 0 36 58 64 0.198157758234811
+8 0 1 0 0 36 60 64 0.0565169969397587
+8 0 1 0 0 36 62 64 -0.0859595183429788
+8 0 1 0 0 36 64 64 -0.225912007152656
+8 0 1 0 0 36 66 64 -0.362395082717802
+8 0 1 0 0 36 68 64 -0.49117334425683
+8 0 1 0 0 36 70 64 -0.608714801652168
+8 0 1 0 0 36 72 64 -0.715255215606285
+8 0 1 0 0 36 74 64 -0.808253596368512
+8 0 1 0 0 36 76 64 -0.88473774645402
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 -0.936397049231443
+8 0 0 0 0 36 4 64 -0.79750835846836
+8 0 0 0 0 36 8 64 -0.594010283467016
+8 0 0 0 0 36 12 64 -0.342389028014344
+8 0 0 0 0 36 16 64 -0.0630294497779055
+8 0 0 0 0 36 20 64 0.221436399628968
+8 0 0 0 0 36 24 64 0.487989541442671
+8 0 0 0 0 36 28 64 0.714783163782234
+8 0 0 0 0 36 32 64 0.882977660552486
+8 0 0 0 0 36 36 64 0.980223890750315
+8 0 0 0 0 36 40 64 0.996465493810756
+8 0 0 0 0 36 44 64 0.931241073851453
+8 0 0 0 0 36 48 64 0.791679348020936
+8 0 0 0 0 36 52 64 0.587473870194757
+8 0 0 0 0 36 56 64 0.335669865516839
+8 0 0 0 0 36 60 64 0.0565169969397587
+8 0 0 0 0 36 64 64 -0.225912007152656
+8 0 0 0 0 36 68 64 -0.49117334425683
+8 0 0 0 0 36 72 64 -0.715255215606285
+8 0 0 0 0 36 76 64 -0.88473774645402
+8 0 0 0 0 36 80 64 -0.981520308838447
+8 0 0 0 0 36 84 64 -0.999424420033477
+8 0 0 0 0 36 88 64 -0.936397049231443
+8 0 0 0 0 36 92 64 -0.79750835846836
+8 0 0 0 0 36 96 64 -0.594010283467016
+8 0 0 0 0 36 100 64 -0.342389028014344
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 0.99564526118844
+9 0 2 0 0 36 40 64 0.986122783685051
+9 0 2 0 0 36 41 64 0.972345190814497
+9 0 2 0 0 36 42 64 0.950408467240474
+9 0 2 0 0 36 43 64 0.928288357137386
+9 0 2 0 0 36 44 64 0.898061426654031
+9 0 2 0 0 36 45 64 0.865358414248757
+9 0 2 0 0 36 46 64 0.827138540512787
+9 0 2 0 0 36 47 64 0.785071201342183
+9 0 2 0 0 36 48 64 0.738856948924592
+9 0 2 0 0 36 49 64 0.688905591835302
+9 0 2 0 0 36 50 64 0.635435165774977
+9 0 2 0 0 36 51 64 0.578727611423503
+9 0 2 0 0 36 52 64 0.519070852858996
+9 0 2 0 0 36 53 64 0.456768883924643
+9 0 2 0 0 36 54 64 0.392139304082019
+9 0 2 0 0 36 55 64 0.32550967094504
+9 0 2 0 0 36 56 64 0.257219711906155
+9 0 2 0 0 36 57 64 0.187600677025044
+9 0 2 0 0 36 58 64 0.117019050102702
+9 0 2 0 0 36 59 64 0.0458136956565921
+9 0 2 0 0 36 60 64 -0.0256266854169147
+9 0 2 0 0 36 61 64 -0.0965710059928109
+9 0 2 0 0 36 62 64 -0.167258880875404
+9 0 2 0 0 36 63 64 -0.23648348635284
+9 0 2 0 0 36 64 64 -0.304819907472975
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 0.984379866941581
+10 0 2 0 0 36 40 64 0.969072399217679
+10 0 2 0 0 36 41 64 0.949670724680464
+10 0 2 0 0 36 42 64 0.922039652287847
+10 0 2 0 0 36 43 64 0.894608239372265
+10 0 2 0 0 36 44 64 0.85879250380239
+10 0 2 0 0 36 45 64 0.821342566539966
+10 0 2 0 0 36 46 64 0.778133286402444
+10 0 2 0 0 36 47 64 0.731584896839627
+10 0 2 0 0 36 48 64 0.681035265045959
+10 0 2 0 0 36 49 64 0.627079145144834
+10 0 2 0 0 36 50 64 0.569905760549735
+10 0 2 0 0 36 51 64 0.509831239205338
+10 0 2 0 0 36 52 64 0.447158096152821
+10 0 2 0 0 36 53 64 0.382205971571669
+10 0 2 0 0 36 54 64 0.315306157207676
+10 0 2 0 0 36 55 64 0.24679570505839
+10 0 2 0 0 36 56 64 0.177025151534019
+10 0 2 0 0 36 57 64 0.106327159793763
+10 0 2 0 0 36 58 64 0.035081106932853
+10 0 2 0 0 36 59 64 -0.036327720076201
+10 0 2 0 0 36 60 64 -0.107572262197683
+10 0 2 0 0 36 61 64 -0.177747915864361
+10 0 2 0 0 36 62 64 -0.247404470866525
+10 0 2 0 0 36 63 64 -0.315612999181864
+10 0 2 0 0 36 64 64 -0.382248594965054
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0.727469521208016
+10 0 1 0 0 36 28 64 0.818097137883854
+10 0 1 0 0 36 30 64 0.894997844852756
+10 0 1 0 0 36 32 64 0.946563225649328
+10 0 1 0 0 36 34 64 0.984566141284841
+10 0 1 0 0 36 36 64 0.999547186670635
+10 0 1 0 0 36 38 64 0.994500807920236
+10 0 1 0 0 36 40 64 0.969072399217679
+10 0 1 0 0 36 42 64 0.922039652287847
+10 0 1 0 0 36 44 64 0.85879250380239
+10 0 1 0 0 36 46 64 0.778133286402444
+10 0 1 0 0 36 48 64 0.681035265045959
+10 0 1 0 0 36 50 64 0.569905760549735
+10 0 1 0 0 36 52 64 0.447158096152821
+10 0 1 0 0 36 54 64 0.315306157207676
+10 0 1 0 0 36 56 64 0.177025151534019
+10 0 1 0 0 36 58 64 0.035081106932853
+10 0 1 0 0 36 60 64 -0.107572262197683
+10 0 1 0 0 36 62 64 -0.247404470866525
+10 0 1 0 0 36 64 64 -0.382248594965054
+10 0 1 0 0 36 66 64 -0.509844044462548
+10 0 1 0 0 36 68 64 -0.626775167785522
+10 0 1 0 0 36 70 64 -0.729120636278362
+10 0 1 0 0 36 72 64 -0.819042573270245
+10 0 1 0 0 36 74 64 -0.893050665572054
+10 0 1 0 0 36 76 64 -0.950033346883877
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 0.966575388769545
+11 0 2 0 0 36 40 64 0.945591493027616
+11 0 2 0 0 36 41 64 0.920604143940765
+11 0 2 0 0 36 42 64 0.887501912374433
+11 0 2 0 0 36 43 64 0.854871826339012
+11 0 2 0 0 36 44 64 0.813717165249233
+11 0 2 0 0 36 45 64 0.771785520109452
+11 0 2 0 0 36 46 64 0.723825759912968
+11 0 2 0 0 36 47 64 0.673157575241775
+11 0 2 0 0 36 48 64 0.618594748559011
+11 0 2 0 0 36 49 64 0.56100968011875
+11 0 2 0 0 36 50 64 0.500517195956499
+11 0 2 0 0 36 51 64 0.437482411186147
+11 0 2 0 0 36 52 64 0.372216158335044
+11 0 2 0 0 36 53 64 0.305052419235552
+11 0 2 0 0 36 54 64 0.23633407380446
+11 0 2 0 0 36 55 64 0.16640413460913
+11 0 2 0 0 36 56 64 0.0956229109683331
+11 0 2 0 0 36 57 64 0.0243256282106452
+11 0 2 0 0 36 58 64 -0.0471017519047041
+11 0 2 0 0 36 59 64 -0.11819978394936
+11 0 2 0 0 36 60 64 -0.188758344856516
+11 0 2 0 0 36 61 64 -0.257707727745404
+11 0 2 0 0 36 62 64 -0.32586995701771
+11 0 2 0 0 36 63 64 -0.392098671973768
+11 0 2 0 0 36 64 64 -0.456623770243661
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 0.942100958312533
+12 0 2 0 0 36 40 64 0.915587680908537
+12 0 2 0 0 36 41 64 0.885334708294217
+12 0 2 0 0 36 42 64 0.847014469496933
+12 0 2 0 0 36 43 64 0.809342230353222
+12 0 2 0 0 36 44 64 0.763158343663227
+12 0 2 0 0 36 45 64 0.717010679093189
+12 0 2 0 0 36 46 64 0.664574615630126
+12 0 2 0 0 36 47 64 0.610179140762682
+12 0 2 0 0 36 48 64 0.551944666175462
+12 0 2 0 0 36 49 64 0.491137689845277
+12 0 2 0 0 36 50 64 0.427730512806188
+12 0 2 0 0 36 51 64 0.362163584336475
+12 0 2 0 0 36 52 64 0.294745126618399
+12 0 2 0 0 36 53 64 0.225823457972725
+12 0 2 0 0 36 54 64 0.155750748127458
+12 0 2 0 0 36 55 64 0.0848724981164916
+12 0 2 0 0 36 56 64 0.0135578391525371
+12 0 2 0 0 36 57 64 -0.0578496982298213
+12 0 2 0 0 36 58 64 -0.1289713486189
+12 0 2 0 0 36 59 64 -0.199244142897201
+12 0 2 0 0 36 60 64 -0.268636022243678
+12 0 2 0 0 36 61 64 -0.335908549676416
+12 0 2 0 0 36 62 64 -0.402141671948713
+12 0 2 0 0 36 63 64 -0.466517248778773
+12 0 2 0 0 36 64 64 -0.528470199770539
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0.831565073634567
+12 0 1 0 0 36 28 64 0.902693379891134
+12 0 1 0 0 36 30 64 0.956250421988218
+12 0 1 0 0 36 32 64 0.984520650643352
+12 0 1 0 0 36 34 64 1.0006502611233
+12 0 1 0 0 36 36 64 0.99187204443809
+12 0 1 0 0 36 38 64 0.963620165398048
+12 0 1 0 0 36 40 64 0.915587680908537
+12 0 1 0 0 36 42 64 0.847014469496933
+12 0 1 0 0 36 44 64 0.763158343663227
+12 0 1 0 0 36 46 64 0.664574615630126
+12 0 1 0 0 36 48 64 0.551944666175462
+12 0 1 0 0 36 50 64 0.427730512806188
+12 0 1 0 0 36 52 64 0.294745126618399
+12 0 1 0 0 36 54 64 0.155750748127458
+12 0 1 0 0 36 56 64 0.0135578391525371
+12 0 1 0 0 36 58 64 -0.1289713486189
+12 0 1 0 0 36 60 64 -0.268636022243678
+12 0 1 0 0 36 62 64 -0.402141671948713
+12 0 1 0 0 36 64 64 -0.528470199770539
+12 0 1 0 0 36 66 64 -0.643505567629453
+12 0 1 0 0 36 68 64 -0.745496136247591
+12 0 1 0 0 36 70 64 -0.829870761124515
+12 0 1 0 0 36 72 64 -0.900844894712798
+12 0 1 0 0 36 74 64 -0.957220419474552
+12 0 1 0 0 36 76 64 -0.992419191153
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 -0.773613468881637
+12 0 0 0 0 36 4 64 -0.562009242653593
+12 0 0 0 0 36 8 64 -0.30487549313056
+12 0 0 0 0 36 12 64 -0.0230425443184478
+12 0 0 0 0 36 16 64 0.260658010412923
+12 0 0 0 0 36 20 64 0.523228805596429
+12 0 0 0 0 36 24 64 0.743447772794316
+12 0 0 0 0 36 28 64 0.902693379891134
+12 0 0 0 0 36 32 64 0.984520650643352
+12 0 0 0 0 36 36 64 0.99187204443809
+12 0 0 0 0 36 40 64 0.915587680908537
+12 0 0 0 0 36 44 64 0.763158343663227
+12 0 0 0 0 36 48 64 0.551944666175462
+12 0 0 0 0 36 52 64 0.294745126618399
+12 0 0 0 0 36 56 64 0.0135578391525371
+12 0 0 0 0 36 60 64 -0.268636022243678
+12 0 0 0 0 36 64 64 -0.528470199770539
+12 0 0 0 0 36 68 64 -0.745496136247591
+12 0 0 0 0 36 72 64 -0.900844894712798
+12 0 0 0 0 36 76 64 -0.992419191153
+12 0 0 0 0 36 80 64 -0.996830366738477
+12 0 0 0 0 36 84 64 -0.922583948073783
+12 0 0 0 0 36 88 64 -0.773613468881637
+12 0 0 0 0 36 92 64 -0.562009242653593
+12 0 0 0 0 36 96 64 -0.30487549313056
+12 0 0 0 0 36 100 64 -0.0230425443184478
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 0.91145204455148
+13 0 2 0 0 36 40 64 0.879596050903145
+13 0 2 0 0 36 41 64 0.844084414663597
+13 0 2 0 0 36 42 64 0.800824222704196
+13 0 2 0 0 36 43 64 0.75832355490384
+13 0 2 0 0 36 44 64 0.707473969847541
+13 0 2 0 0 36 45 64 0.657375104102707
+13 0 2 0 0 36 46 64 0.600777635716768
+13 0 2 0 0 36 47 64 0.543069264164743
+13 0 2 0 0 36 48 64 0.481521872851975
+13 0 2 0 0 36 49 64 0.417929608584173
+13 0 2 0 0 36 50 64 0.352028892578069
+13 0 2 0 0 36 51 64 0.284377354671461
+13 0 2 0 0 36 52 64 0.215262070460869
+13 0 2 0 0 36 53 64 0.145048364409759
+13 0 2 0 0 36 54 64 0.0740948100312152
+13 0 2 0 0 36 55 64 0.00274676535632109
+13 0 2 0 0 36 56 64 -0.0686195219131816
+13 0 2 0 0 36 57 64 -0.139640885597512
+13 0 2 0 0 36 58 64 -0.209969376507041
+13 0 2 0 0 36 59 64 -0.278911245905794
+13 0 2 0 0 36 60 64 -0.346666588524817
+13 0 2 0 0 36 61 64 -0.411855626159897
+13 0 2 0 0 36 62 64 -0.475719739217014
+13 0 2 0 0 36 63 64 -0.537251971525801
+13 0 2 0 0 36 64 64 -0.5963006854668
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 0.874427689810973
+14 0 2 0 0 36 40 64 0.837438240330539
+14 0 2 0 0 36 41 64 0.797116899938817
+14 0 2 0 0 36 42 64 0.749230082273791
+14 0 2 0 0 36 43 64 0.702160004911102
+14 0 2 0 0 36 44 64 0.647052542014833
+14 0 2 0 0 36 45 64 0.593269647740114
+14 0 2 0 0 36 46 64 0.532871258309489
+14 0 2 0 0 36 47 64 0.472275555752007
+14 0 2 0 0 36 48 64 0.407790367582084
+14 0 2 0 0 36 49 64 0.34187605959363
+14 0 2 0 0 36 50 64 0.273915633344723
+14 0 2 0 0 36 51 64 0.20464449187104
+14 0 2 0 0 36 52 64 0.134298760497876
+14 0 2 0 0 36 53 64 0.0632682037084588
+14 0 2 0 0 36 54 64 -0.00808653193152906
+14 0 2 0 0 36 55 64 -0.0794207926528167
+14 0 2 0 0 36 56 64 -0.150355122555041
+14 0 2 0 0 36 57 64 -0.220489592909785
+14 0 2 0 0 36 58 64 -0.289541258282965
+14 0 2 0 0 36 59 64 -0.356664387198486
+14 0 2 0 0 36 60 64 -0.422331576814773
+14 0 2 0 0 36 61 64 -0.485032550599544
+14 0 2 0 0 36 62 64 -0.546116741210131
+14 0 2 0 0 36 63 64 -0.604948377240119
+14 0 2 0 0 36 64 64 -0.660610960025408
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0.911030998994562
+14 0 1 0 0 36 28 64 0.961039400009255
+14 0 1 0 0 36 30 64 0.991772711443212
+14 0 1 0 0 36 32 64 0.996040805687703
+14 0 1 0 0 36 34 64 0.989830811745744
+14 0 1 0 0 36 36 64 0.95734790294541
+14 0 1 0 0 36 38 64 0.90676362875294
+14 0 1 0 0 36 40 64 0.837438240330539
+14 0 1 0 0 36 42 64 0.749230082273791
+14 0 1 0 0 36 44 64 0.647052542014833
+14 0 1 0 0 36 46 64 0.532871258309489
+14 0 1 0 0 36 48 64 0.407790367582084
+14 0 1 0 0 36 50 64 0.273915633344723
+14 0 1 0 0 36 52 64 0.134298760497876
+14 0 1 0 0 36 54 64 -0.00808653193152906
+14 0 1 0 0 36 56 64 -0.150355122555041
+14 0 1 0 0 36 58 64 -0.289541258282965
+14 0 1 0 0 36 60 64 -0.422331576814773
+14 0 1 0 0 36 62 64 -0.546116741210131
+14 0 1 0 0 36 64 64 -0.660610960025408
+14 0 1 0 0 36 66 64 -0.759719839756493
+14 0 1 0 0 36 68 64 -0.844145865202899
+14 0 1 0 0 36 70 64 -0.90850575576593
+14 0 1 0 0 36 72 64 -0.958645824422787
+14 0 1 0 0 36 74 64 -0.993141946553099
+14 0 1 0 0 36 76 64 -1.0074586778693
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 0.83177058555084
+15 0 2 0 0 36 40 64 0.789892434463176
+15 0 2 0 0 36 41 64 0.744732886377291
+15 0 2 0 0 36 42 64 0.692558769823357
+15 0 2 0 0 36 43 64 0.641232339010255
+15 0 2 0 0 36 44 64 0.582310044136302
+15 0 2 0 0 36 45 64 0.525119308200204
+15 0 2 0 0 36 46 64 0.461329067538008
+15 0 2 0 0 36 47 64 0.39827202533234
+15 0 2 0 0 36 48 64 0.33124132959367
+15 0 2 0 0 36 49 64 0.263490099030802
+15 0 2 0 0 36 50 64 0.193912360021438
+15 0 2 0 0 36 51 64 0.123502072434889
+15 0 2 0 0 36 52 64 0.0523994485218639
+15 0 2 0 0 36 53 64 -0.0189662748526438
+15 0 2 0 0 36 54 64 -0.0902396981301373
+15 0 2 0 0 36 55 64 -0.1610736822119
+15 0 2 0 0 36 56 64 -0.231093672866556
+15 0 2 0 0 36 57 64 -0.299840794696942
+15 0 2 0 0 36 58 64 -0.36714057429429
+15 0 2 0 0 36 59 64 -0.431983127537628
+15 0 2 0 0 36 60 64 -0.495128021444162
+15 0 2 0 0 36 61 64 -0.554973040858944
+15 0 2 0 0 36 62 64 -0.612863106882389
+15 0 2 0 0 36 63 64 -0.668071174957014
+15 0 2 0 0 36 64 64 -0.720044315987105
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 0.783191375711233
+16 0 2 0 0 36 40 64 0.736699238210237
+16 0 2 0 0 36 41 64 0.687277464317392
+16 0 2 0 0 36 42 64 0.63119623285195
+16 0 2 0 0 36 43 64 0.575957220068435
+16 0 2 0 0 36 44 64 0.513687824134701
+16 0 2 0 0 36 45 64 0.453383070893106
+16 0 2 0 0 36 46 64 0.386658816045655
+16 0 2 0 0 36 47 64 0.321557564095214
+16 0 2 0 0 36 48 64 0.252393062663056
+16 0 2 0 0 36 49 64 0.18330509128069
+16 0 2 0 0 36 50 64 0.112557204165378
+16 0 2 0 0 36 51 64 0.0415013493406832
+16 0 2 0 0 36 52 64 -0.0298816058531054
+16 0 2 0 0 36 53 64 -0.10109690334767
+16 0 2 0 0 36 54 64 -0.171807116042869
+16 0 2 0 0 36 55 64 -0.24165362668591
+16 0 2 0 0 36 56 64 -0.310281409496596
+16 0 2 0 0 36 57 64 -0.377147153170629
+16 0 2 0 0 36 58 64 -0.442233636345672
+16 0 2 0 0 36 59 64 -0.504365980207776
+16 0 2 0 0 36 60 64 -0.564577166090972
+16 0 2 0 0 36 61 64 -0.621195922260606
+16 0 2 0 0 36 62 64 -0.675507190423302
+16 0 2 0 0 36 63 64 -0.727197672558467
+16 0 2 0 0 36 64 64 -0.775052989171644
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0.968487138553562
+16 0 1 0 0 36 28 64 0.995646028169825
+16 0 1 0 0 36 30 64 1.00070730210588
+16 0 1 0 0 36 32 64 0.980893937095706
+16 0 1 0 0 36 34 64 0.952349650779876
+16 0 1 0 0 36 36 64 0.896869441156949
+16 0 1 0 0 36 38 64 0.825488989764358
+16 0 1 0 0 36 40 64 0.736699238210237
+16 0 1 0 0 36 42 64 0.63119623285195
+16 0 1 0 0 36 44 64 0.513687824134701
+16 0 1 0 0 36 46 64 0.386658816045655
+16 0 1 0 0 36 48 64 0.252393062663056
+16 0 1 0 0 36 50 64 0.112557204165378
+16 0 1 0 0 36 52 64 -0.0298816058531054
+16 0 1 0 0 36 54 64 -0.171807116042869
+16 0 1 0 0 36 56 64 -0.310281409496596
+16 0 1 0 0 36 58 64 -0.442233636345672
+16 0 1 0 0 36 60 64 -0.564577166090972
+16 0 1 0 0 36 62 64 -0.675507190423302
+16 0 1 0 0 36 64 64 -0.775052989171644
+16 0 1 0 0 36 66 64 -0.855326177010438
+16 0 1 0 0 36 68 64 -0.920124501379095
+16 0 1 0 0 36 70 64 -0.962973388919305
+16 0 1 0 0 36 72 64 -0.990945372488538
+16 0 1 0 0 36 74 64 -1.00556480302932
+16 0 1 0 0 36 76 64 -0.996630674163465
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 -0.529031091543943
+16 0 0 0 0 36 4 64 -0.266774836606918
+16 0 0 0 0 36 8 64 0.017089571311092
+16 0 0 0 0 36 12 64 0.299567039224753
+16 0 0 0 0 36 16 64 0.55777999571593
+16 0 0 0 0 36 20 64 0.770733483919514
+16 0 0 0 0 36 24 64 0.921092547208896
+16 0 0 0 0 36 28 64 0.995646028169825
+16 0 0 0 0 36 32 64 0.980893937095706
+16 0 0 0 0 36 36 64 0.896869441156949
+16 0 0 0 0 36 40 64 0.736699238210237
+16 0 0 0 0 36 44 64 0.513687824134701
+16 0 0 0 0 36 48 64 0.252393062663056
+16 0 0 0 0 36 52 64 -0.0298816058531054
+16 0 0 0 0 36 56 64 -0.310281409496596
+16 0 0 0 0 36 60 64 -0.564577166090972
+16 0 0 0 0 36 64 64 -0.775052989171644
+16 0 0 0 0 36 68 64 -0.920124501379095
+16 0 0 0 0 36 72 64 -0.990945372488538
+16 0 0 0 0 36 76 64 -0.996630674163465
+16 0 0 0 0 36 80 64 -0.907210235408711
+16 0 0 0 0 36 84 64 -0.748631860263825
+16 0 0 0 0 36 88 64 -0.529031091543943
+16 0 0 0 0 36 92 64 -0.266774836606918
+16 0 0 0 0 36 96 64 0.017089571311092
+16 0 0 0 0 36 100 64 0.299567039224753
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 0.729684694849813
+17 0 2 0 0 36 40 64 0.678863683950643
+17 0 2 0 0 36 41 64 0.625135462424381
+17 0 2 0 0 36 42 64 0.565549179257903
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+17 0 2 0 0 36 46 64 0.309397690912566
+17 0 2 0 0 36 47 64 0.242654034696447
+17 0 2 0 0 36 48 64 0.171790094564383
+17 0 2 0 0 36 49 64 0.101871799927275
+17 0 2 0 0 36 50 64 0.0304025997236437
+17 0 2 0 0 36 51 64 -0.0407950710769353
+17 0 2 0 0 36 52 64 -0.111983213266695
+17 0 2 0 0 36 53 64 -0.182560903419483
+17 0 2 0 0 36 54 64 -0.252230154692951
+17 0 2 0 0 36 55 64 -0.320603820637825
+17 0 2 0 0 36 56 64 -0.387369774691674
+17 0 2 0 0 36 57 64 -0.451874050371163
+17 0 2 0 0 36 58 64 -0.514304583491303
+17 0 2 0 0 36 59 64 -0.573333100997025
+17 0 2 0 0 36 60 64 -0.630218778631179
+17 0 2 0 0 36 61 64 -0.683270642227876
+17 0 2 0 0 36 62 64 -0.73362027292085
+17 0 2 0 0 36 63 64 -0.781014070341721
+17 0 2 0 0 36 64 64 -0.824454202390865
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 0.67085644814028
+18 0 2 0 0 36 40 64 0.616050760891421
+18 0 2 0 0 36 41 64 0.558734852304547
+18 0 2 0 0 36 42 64 0.496081362396619
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+18 0 2 0 0 36 45 64 0.301149528044676
+18 0 2 0 0 36 46 64 0.230105643033947
+18 0 2 0 0 36 47 64 0.162103512276363
+18 0 2 0 0 36 48 64 0.0900006603758642
+18 0 2 0 0 36 49 64 0.0197543459067325
+18 0 2 0 0 36 50 64 -0.0519876573849883
+18 0 2 0 0 36 51 64 -0.122817122278124
+18 0 2 0 0 36 52 64 -0.193341214629303
+18 0 2 0 0 36 53 64 -0.262794584619954
+18 0 2 0 0 36 54 64 -0.330952960808579
+18 0 2 0 0 36 55 64 -0.397373358453665
+18 0 2 0 0 36 56 64 -0.461820285446147
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+18 0 2 0 0 36 59 64 -0.638428602930574
+18 0 2 0 0 36 60 64 -0.691620321557532
+18 0 2 0 0 36 61 64 -0.740764081558319
+18 0 2 0 0 36 62 64 -0.786801612924153
+18 0 2 0 0 36 63 64 -0.829947276224382
+18 0 2 0 0 36 64 64 -0.868642214707487
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 0.998805210966102
+18 0 1 0 0 36 28 64 1.00274617550723
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+18 0 1 0 0 36 36 64 0.812067916146587
+18 0 1 0 0 36 38 64 0.722018145321156
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+18 0 1 0 0 36 42 64 0.496081362396619
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+18 0 1 0 0 36 46 64 0.230105643033947
+18 0 1 0 0 36 48 64 0.0900006603758642
+18 0 1 0 0 36 50 64 -0.0519876573849883
+18 0 1 0 0 36 52 64 -0.193341214629303
+18 0 1 0 0 36 54 64 -0.330952960808579
+18 0 1 0 0 36 56 64 -0.461820285446147
+18 0 1 0 0 36 58 64 -0.58286044709149
+18 0 1 0 0 36 60 64 -0.691620321557532
+18 0 1 0 0 36 62 64 -0.786801612924153
+18 0 1 0 0 36 64 64 -0.868642214707487
+18 0 1 0 0 36 66 64 -0.927770208357986
+18 0 1 0 0 36 68 64 -0.971440760643792
+18 0 1 0 0 36 70 64 -0.992014085505431
+18 0 1 0 0 36 72 64 -0.997060910457042
+18 0 1 0 0 36 74 64 -0.988891701531029
+18 0 1 0 0 36 76 64 -0.959464532003943
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 0.607944785940564
+19 0 2 0 0 36 40 64 0.549471672949069
+19 0 2 0 0 36 41 64 0.488538834953271
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+19 0 2 0 0 36 47 64 0.080464303460526
+19 0 2 0 0 36 48 64 0.00761195522317316
+19 0 2 0 0 36 49 64 -0.0624751328951415
+19 0 2 0 0 36 50 64 -0.134042343340832
+19 0 2 0 0 36 51 64 -0.203992447511657
+19 0 2 0 0 36 52 64 -0.273393425166161
+19 0 2 0 0 36 53 64 -0.341238145397653
+19 0 2 0 0 36 54 64 -0.407427395734569
+19 0 2 0 0 36 55 64 -0.47142298940292
+19 0 2 0 0 36 56 64 -0.533110631984101
+19 0 2 0 0 36 57 64 -0.591549275011806
+19 0 2 0 0 36 58 64 -0.647436411018724
+19 0 2 0 0 36 59 64 -0.699223250091715
+19 0 2 0 0 36 60 64 -0.748371688253029
+19 0 2 0 0 36 61 64 -0.79329364697919
+19 0 2 0 0 36 62 64 -0.834680771008608
+19 0 2 0 0 36 63 64 -0.87296781205848
+19 0 2 0 0 36 64 64 -0.906647724617768
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 0.540452827373641
+20 0 2 0 0 36 40 64 0.478722685484755
+20 0 2 0 0 36 41 64 0.415044394718739
+20 0 2 0 0 36 42 64 0.347609167928502
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+20 0 2 0 0 36 44 64 0.210013305074373
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+20 0 2 0 0 36 46 64 0.0677299944788781
+20 0 2 0 0 36 47 64 -0.00169441069045509
+20 0 2 0 0 36 48 64 -0.0747771250552153
+20 0 2 0 0 36 49 64 -0.144243003292005
+20 0 2 0 0 36 50 64 -0.215187808189491
+20 0 2 0 0 36 51 64 -0.28375277786489
+20 0 2 0 0 36 52 64 -0.35158540942634
+20 0 2 0 0 36 53 64 -0.417341561997572
+20 0 2 0 0 36 54 64 -0.481119028681885
+20 0 2 0 0 36 55 64 -0.542232039244533
+20 0 2 0 0 36 56 64 -0.600741728071833
+20 0 2 0 0 36 57 64 -0.655544886068228
+20 0 2 0 0 36 58 64 -0.707600463717883
+20 0 2 0 0 36 59 64 -0.755316713709935
+20 0 2 0 0 36 60 64 -0.800095934232819
+20 0 2 0 0 36 61 64 -0.840488165439442
+20 0 2 0 0 36 62 64 -0.876925392191905
+20 0 2 0 0 36 63 64 -0.910362389669231
+20 0 2 0 0 36 64 64 -0.938793832622956
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 1.00334311202564
+20 0 1 0 0 36 28 64 0.98359553831002
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+20 0 1 0 0 36 34 64 0.802012335323821
+20 0 1 0 0 36 36 64 0.705273038766166
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+20 0 1 0 0 36 40 64 0.478722685484755
+20 0 1 0 0 36 42 64 0.347609167928502
+20 0 1 0 0 36 44 64 0.210013305074373
+20 0 1 0 0 36 46 64 0.0677299944788781
+20 0 1 0 0 36 48 64 -0.0747771250552153
+20 0 1 0 0 36 50 64 -0.215187808189491
+20 0 1 0 0 36 52 64 -0.35158540942634
+20 0 1 0 0 36 54 64 -0.481119028681885
+20 0 1 0 0 36 56 64 -0.600741728071833
+20 0 1 0 0 36 58 64 -0.707600463717883
+20 0 1 0 0 36 60 64 -0.800095934232819
+20 0 1 0 0 36 62 64 -0.876925392191905
+20 0 1 0 0 36 64 64 -0.938793832622956
+20 0 1 0 0 36 66 64 -0.975180320089048
+20 0 1 0 0 36 68 64 -0.996801732679076
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+20 0 1 0 0 36 72 64 -0.976834026002591
+20 0 1 0 0 36 74 64 -0.948126874318678
+20 0 1 0 0 36 76 64 -0.896117134067917
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 -0.228161080184811
+20 0 0 0 0 36 4 64 0.057286610735005
+20 0 0 0 0 36 8 64 0.338103443471547
+20 0 0 0 0 36 12 64 0.591510017486203
+20 0 0 0 0 36 16 64 0.79699794130943
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+20 0 0 0 0 36 24 64 1.0016928386688
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+20 0 0 0 0 36 36 64 0.705273038766166
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+20 0 0 0 0 36 64 64 -0.938793832622956
+20 0 0 0 0 36 68 64 -0.996801732679076
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+20 0 0 0 0 36 80 64 -0.721596576702223
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+20 0 0 0 0 36 88 64 -0.228161080184811
+20 0 0 0 0 36 92 64 0.057286610735005
+20 0 0 0 0 36 96 64 0.338103443471547
+20 0 0 0 0 36 100 64 0.591510017486203
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 0.469829736217281
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+21 0 2 0 0 36 56 64 -0.664245120196717
+21 0 2 0 0 36 57 64 -0.715066946780324
+21 0 2 0 0 36 58 64 -0.762957472440645
+21 0 2 0 0 36 59 64 -0.806339847904751
+21 0 2 0 0 36 60 64 -0.846443945082863
+21 0 2 0 0 36 61 64 -0.882027897594942
+21 0 2 0 0 36 62 64 -0.913241368161086
+21 0 2 0 0 36 63 64 -0.941367065939037
+21 0 2 0 0 36 64 64 -0.964358758957947
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 0.395497232459968
+22 0 2 0 0 36 40 64 0.328417215862977
+22 0 2 0 0 36 41 64 0.260259096446963
+22 0 2 0 0 36 42 64 0.189864182116941
+22 0 2 0 0 36 43 64 0.119940465733407
+22 0 2 0 0 36 44 64 0.047859652896361
+22 0 2 0 0 36 45 64 -0.0230542944320167
+22 0 2 0 0 36 46 64 -0.0958850154370283
+22 0 2 0 0 36 47 64 -0.165279573617279
+22 0 2 0 0 36 48 64 -0.237161635947279
+22 0 2 0 0 36 49 64 -0.304135573243567
+22 0 2 0 0 36 50 64 -0.372480462648226
+22 0 2 0 0 36 51 64 -0.436819202589213
+22 0 2 0 0 36 52 64 -0.500246636607088
+22 0 2 0 0 36 53 64 -0.560417243692501
+22 0 2 0 0 36 54 64 -0.618125186813188
+22 0 2 0 0 36 55 64 -0.672183983620824
+22 0 2 0 0 36 56 64 -0.723189909567979
+22 0 2 0 0 36 57 64 -0.769729951259001
+22 0 2 0 0 36 58 64 -0.813151674063614
+22 0 2 0 0 36 59 64 -0.851956198549985
+22 0 2 0 0 36 60 64 -0.887105879557308
+22 0 2 0 0 36 61 64 -0.91761667449276
+22 0 2 0 0 36 62 64 -0.943378917541593
+22 0 2 0 0 36 63 64 -0.966195994685308
+22 0 2 0 0 36 64 64 -0.983583096877776
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 0.98104764784377
+22 0 1 0 0 36 28 64 0.938582162359778
+22 0 1 0 0 36 30 64 0.869533889374024
+22 0 1 0 0 36 32 64 0.784350044815713
+22 0 1 0 0 36 34 64 0.693200172843325
+22 0 1 0 0 36 36 64 0.579451084535226
+22 0 1 0 0 36 38 64 0.460269797506582
+22 0 1 0 0 36 40 64 0.328417215862977
+22 0 1 0 0 36 42 64 0.189864182116941
+22 0 1 0 0 36 44 64 0.047859652896361
+22 0 1 0 0 36 46 64 -0.0958850154370283
+22 0 1 0 0 36 48 64 -0.237161635947279
+22 0 1 0 0 36 50 64 -0.372480462648226
+22 0 1 0 0 36 52 64 -0.500246636607088
+22 0 1 0 0 36 54 64 -0.618125186813188
+22 0 1 0 0 36 56 64 -0.723189909567979
+22 0 1 0 0 36 58 64 -0.813151674063614
+22 0 1 0 0 36 60 64 -0.887105879557308
+22 0 1 0 0 36 62 64 -0.943378917541593
+22 0 1 0 0 36 64 64 -0.983583096877776
+22 0 1 0 0 36 66 64 -0.996411802069847
+22 0 1 0 0 36 68 64 -0.995600433718993
+22 0 1 0 0 36 70 64 -0.971479329009369
+22 0 1 0 0 36 72 64 -0.930911227889686
+22 0 1 0 0 36 74 64 -0.880645554149957
+22 0 1 0 0 36 76 64 -0.810228200736522
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 0.319064432058653
+23 0 2 0 0 36 40 64 0.249924403256166
+23 0 2 0 0 36 41 64 0.180053424324629
+23 0 2 0 0 36 42 64 0.108836468779133
+23 0 2 0 0 36 43 64 0.0381119620962767
+23 0 2 0 0 36 44 64 -0.033937357178523
+23 0 2 0 0 36 45 64 -0.104907937764324
+23 0 2 0 0 36 46 64 -0.176784551291528
+23 0 2 0 0 36 47 64 -0.245575787971705
+23 0 2 0 0 36 48 64 -0.315994455858404
+23 0 2 0 0 36 49 64 -0.381170307966255
+23 0 2 0 0 36 50 64 -0.447523923671051
+23 0 2 0 0 36 51 64 -0.509074009520185
+23 0 2 0 0 36 52 64 -0.5696997506144
+23 0 2 0 0 36 53 64 -0.62639941395139
+23 0 2 0 0 36 54 64 -0.680499857390749
+23 0 2 0 0 36 55 64 -0.730445065990235
+23 0 2 0 0 36 56 64 -0.777188236205734
+23 0 2 0 0 36 57 64 -0.81918972836386
+23 0 2 0 0 36 58 64 -0.857867700228464
+23 0 2 0 0 36 59 64 -0.891863211508091
+23 0 2 0 0 36 60 64 -0.921804164359329
+23 0 2 0 0 36 61 64 -0.947011801587499
+23 0 2 0 0 36 62 64 -0.967132616727471
+23 0 2 0 0 36 63 64 -0.984308305112391
+23 0 2 0 0 36 64 64 -0.996017843255125
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 0.239899482791285
+24 0 2 0 0 36 40 64 0.16920487211874
+24 0 2 0 0 36 41 64 0.0987039997176098
+24 0 2 0 0 36 42 64 0.0270980607747371
+24 0 2 0 0 36 43 64 -0.0439305089058636
+24 0 2 0 0 36 44 64 -0.115503679973907
+24 0 2 0 0 36 45 64 -0.185969559999884
+24 0 2 0 0 36 46 64 -0.256396846624298
+24 0 2 0 0 36 47 64 -0.324145233563623
+24 0 2 0 0 36 48 64 -0.392525077038734
+24 0 2 0 0 36 49 64 -0.455574869010376
+24 0 2 0 0 36 50 64 -0.519463490944382
+24 0 2 0 0 36 51 64 -0.577823159697607
+24 0 2 0 0 36 52 64 -0.635269122336685
+24 0 2 0 0 36 53 64 -0.688073363767503
+24 0 2 0 0 36 54 64 -0.73822315357651
+24 0 2 0 0 36 55 64 -0.783712559761183
+24 0 2 0 0 36 56 64 -0.825898460305315
+24 0 2 0 0 36 57 64 -0.863142650973185
+24 0 2 0 0 36 58 64 -0.896829427009213
+24 0 2 0 0 36 59 64 -0.925792936740862
+24 0 2 0 0 36 60 64 -0.950304506740336
+24 0 2 0 0 36 61 64 -0.97000347175428
+24 0 2 0 0 36 62 64 -0.984342796227201
+24 0 2 0 0 36 63 64 -0.995892023635728
+24 0 2 0 0 36 64 64 -1.0018126657991
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 0.931980907044291
+24 0 1 0 0 36 28 64 0.867576699062644
+24 0 1 0 0 36 30 64 0.777199853129743
+24 0 1 0 0 36 32 64 0.674525979865385
+24 0 1 0 0 36 34 64 0.565723687046236
+24 0 1 0 0 36 36 64 0.43811387485623
+24 0 1 0 0 36 38 64 0.309074348145442
+24 0 1 0 0 36 40 64 0.16920487211874
+24 0 1 0 0 36 42 64 0.0270980607747371
+24 0 1 0 0 36 44 64 -0.115503679973907
+24 0 1 0 0 36 46 64 -0.256396846624298
+24 0 1 0 0 36 48 64 -0.392525077038734
+24 0 1 0 0 36 50 64 -0.519463490944382
+24 0 1 0 0 36 52 64 -0.635269122336685
+24 0 1 0 0 36 54 64 -0.73822315357651
+24 0 1 0 0 36 56 64 -0.825898460305315
+24 0 1 0 0 36 58 64 -0.896829427009213
+24 0 1 0 0 36 60 64 -0.950304506740336
+24 0 1 0 0 36 62 64 -0.984342796227201
+24 0 1 0 0 36 64 64 -1.0018126657991
+24 0 1 0 0 36 66 64 -0.99105479718569
+24 0 1 0 0 36 68 64 -0.96794661252943
+24 0 1 0 0 36 70 64 -0.922459335278033
+24 0 1 0 0 36 72 64 -0.860459695668713
+24 0 1 0 0 36 74 64 -0.790718913057396
+24 0 1 0 0 36 76 64 -0.700584491882711
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 0.0975184837032076
+24 0 0 0 0 36 4 64 0.376139498517471
+24 0 0 0 0 36 8 64 0.624395008878164
+24 0 0 0 0 36 12 64 0.821987576391212
+24 0 0 0 0 36 16 64 0.952945479737797
+24 0 0 0 0 36 20 64 1.00634054736431
+24 0 0 0 0 36 24 64 0.976240017051093
+24 0 0 0 0 36 28 64 0.867576699062644
+24 0 0 0 0 36 32 64 0.674525979865385
+24 0 0 0 0 36 36 64 0.43811387485623
+24 0 0 0 0 36 40 64 0.16920487211874
+24 0 0 0 0 36 44 64 -0.115503679973907
+24 0 0 0 0 36 48 64 -0.392525077038734
+24 0 0 0 0 36 52 64 -0.635269122336685
+24 0 0 0 0 36 56 64 -0.825898460305315
+24 0 0 0 0 36 60 64 -0.950304506740336
+24 0 0 0 0 36 64 64 -1.0018126657991
+24 0 0 0 0 36 68 64 -0.96794661252943
+24 0 0 0 0 36 72 64 -0.860459695668713
+24 0 0 0 0 36 76 64 -0.700584491882711
+24 0 0 0 0 36 80 64 -0.459086983436625
+24 0 0 0 0 36 84 64 -0.190332030021651
+24 0 0 0 0 36 88 64 0.0975184837032076
+24 0 0 0 0 36 92 64 0.376139498517471
+24 0 0 0 0 36 96 64 0.624395008878164
+24 0 0 0 0 36 100 64 0.821987576391212
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.zl
new file mode 100644
index 000000000..72fde0fca
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/u.zl
@@ -0,0 +1,1757 @@
+# HYDROTOY::u z (u)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 0.207911690817761
+0 0 2 0 0 36 48 52 0.309016994374949
+0 0 2 0 0 36 48 53 0.406736643075802
+0 0 2 0 0 36 48 54 0.500000000000001
+0 0 2 0 0 36 48 55 0.587785252292474
+0 0 2 0 0 36 48 56 0.669130606358859
+0 0 2 0 0 36 48 57 0.743144825477395
+0 0 2 0 0 36 48 58 0.809016994374948
+0 0 2 0 0 36 48 59 0.866025403784439
+0 0 2 0 0 36 48 60 0.913545457642601
+0 0 2 0 0 36 48 61 0.951056516295154
+0 0 2 0 0 36 48 62 0.978147600733806
+0 0 2 0 0 36 48 63 0.994521895368273
+0 0 2 0 0 36 48 64 1
+0 0 2 0 0 36 48 65 0.994521895368273
+0 0 2 0 0 36 48 66 0.978147600733806
+0 0 2 0 0 36 48 67 0.951056516295154
+0 0 2 0 0 36 48 68 0.913545457642601
+0 0 2 0 0 36 48 69 0.866025403784439
+0 0 2 0 0 36 48 70 0.809016994374948
+0 0 2 0 0 36 48 71 0.743144825477395
+0 0 2 0 0 36 48 72 0.669130606358859
+0 0 2 0 0 36 48 73 0.587785252292474
+0 0 2 0 0 36 48 74 0.500000000000001
+0 0 2 0 0 36 48 75 0.406736643075801
+0 0 2 0 0 36 48 76 0.309016994374949
+0 0 2 0 0 36 48 77 0.207911690817761
+0 0 2 0 0 36 48 78 0.104528463267655
+0 0 2 0 0 36 48 79 1.61554255216634e-15
+0 0 2 0 0 36 48 80 -0.104528463267652
+0 0 2 0 0 36 48 81 -0.207911690817757
+0 0 2 0 0 36 48 82 -0.309016994374945
+0 0 2 0 0 36 48 83 -0.406736643075798
+0 0 2 0 0 36 48 84 -0.499999999999998
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -1
+0 0 1 0 0 36 48 36 -0.978147600733805
+0 0 1 0 0 36 48 38 -0.9135454576426
+0 0 1 0 0 36 48 40 -0.809016994374946
+0 0 1 0 0 36 48 42 -0.669130606358856
+0 0 1 0 0 36 48 44 -0.499999999999998
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+0 0 1 0 0 36 48 48 -0.104528463267652
+0 0 1 0 0 36 48 50 0.104528463267655
+0 0 1 0 0 36 48 52 0.309016994374949
+0 0 1 0 0 36 48 54 0.500000000000001
+0 0 1 0 0 36 48 56 0.669130606358859
+0 0 1 0 0 36 48 58 0.809016994374948
+0 0 1 0 0 36 48 60 0.913545457642601
+0 0 1 0 0 36 48 62 0.978147600733806
+0 0 1 0 0 36 48 64 1
+0 0 1 0 0 36 48 66 0.978147600733806
+0 0 1 0 0 36 48 68 0.913545457642601
+0 0 1 0 0 36 48 70 0.809016994374948
+0 0 1 0 0 36 48 72 0.669130606358859
+0 0 1 0 0 36 48 74 0.500000000000001
+0 0 1 0 0 36 48 76 0.309016994374949
+0 0 1 0 0 36 48 78 0.104528463267655
+0 0 1 0 0 36 48 80 -0.104528463267652
+0 0 1 0 0 36 48 82 -0.309016994374945
+0 0 1 0 0 36 48 84 -0.499999999999998
+0 0 1 0 0 36 48 86 -0.669130606358856
+0 0 1 0 0 36 48 88 -0.809016994374946
+0 0 1 0 0 36 48 90 -0.9135454576426
+0 0 1 0 0 36 48 92 -0.978147600733805
+0 0 1 0 0 36 48 94 -1
+0 0 1 0 0 36 48 96 -0.978147600733806
+0 0 1 0 0 36 48 98 -0.913545457642603
+0 0 1 0 0 36 48 100 -0.80901699437495
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 0.913545457642604
+0 0 0 0 0 36 48 4 1
+0 0 0 0 0 36 48 8 0.913545457642598
+0 0 0 0 0 36 48 12 0.669130606358854
+0 0 0 0 0 36 48 16 0.309016994374941
+0 0 0 0 0 36 48 20 -0.104528463267659
+0 0 0 0 0 36 48 24 -0.500000000000004
+0 0 0 0 0 36 48 28 -0.80901699437495
+0 0 0 0 0 36 48 32 -0.978147600733806
+0 0 0 0 0 36 48 36 -0.978147600733805
+0 0 0 0 0 36 48 40 -0.809016994374946
+0 0 0 0 0 36 48 44 -0.499999999999998
+0 0 0 0 0 36 48 48 -0.104528463267652
+0 0 0 0 0 36 48 52 0.309016994374949
+0 0 0 0 0 36 48 56 0.669130606358859
+0 0 0 0 0 36 48 60 0.913545457642601
+0 0 0 0 0 36 48 64 1
+0 0 0 0 0 36 48 68 0.913545457642601
+0 0 0 0 0 36 48 72 0.669130606358859
+0 0 0 0 0 36 48 76 0.309016994374949
+0 0 0 0 0 36 48 80 -0.104528463267652
+0 0 0 0 0 36 48 84 -0.499999999999998
+0 0 0 0 0 36 48 88 -0.809016994374946
+0 0 0 0 0 36 48 92 -0.978147600733805
+0 0 0 0 0 36 48 96 -0.978147600733806
+0 0 0 0 0 36 48 100 -0.80901699437495
+0 0 0 0 0 36 48 104 -0.500000000000004
+0 0 0 0 0 36 48 108 -0.104528463267659
+0 0 0 0 0 36 48 112 0.309016994374942
+0 0 0 0 0 36 48 116 0.669130606358854
+0 0 0 0 0 36 48 120 0.913545457642598
+0 0 0 0 0 36 48 124 1
+0 0 0 0 0 36 48 128 0.913545457642604
+0 0 0 0 0 36 48 132 0.669130606358864
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 0.287131515784396
+1 0 2 0 0 36 48 52 0.385700870166775
+1 0 2 0 0 36 48 53 0.480452366870658
+1 0 2 0 0 36 48 54 0.569390500151697
+1 0 2 0 0 36 48 55 0.652201460059551
+1 0 2 0 0 36 48 56 0.727866764289061
+1 0 2 0 0 36 48 57 0.795557407933109
+1 0 2 0 0 36 48 58 0.854531758134751
+1 0 2 0 0 36 48 59 0.904143679572001
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+1 0 2 0 0 36 48 61 0.973214533850867
+1 0 2 0 0 36 48 62 0.991916711958997
+1 0 2 0 0 36 48 63 0.999751242998988
+1 0 2 0 0 36 48 64 0.996632290209284
+1 0 2 0 0 36 48 65 0.982594025489333
+1 0 2 0 0 36 48 66 0.957790255005101
+1 0 2 0 0 36 48 67 0.922492734056538
+1 0 2 0 0 36 48 68 0.877088189669636
+1 0 2 0 0 36 48 69 0.822074083534209
+1 0 2 0 0 36 48 70 0.758053161709521
+1 0 2 0 0 36 48 71 0.68572685081232
+1 0 2 0 0 36 48 72 0.605887573040051
+1 0 2 0 0 36 48 73 0.51941006422743
+1 0 2 0 0 36 48 74 0.427241790057588
+1 0 2 0 0 36 48 75 0.330392565429784
+1 0 2 0 0 36 48 76 0.229923490716042
+1 0 2 0 0 36 48 77 0.126935326123431
+1 0 2 0 0 36 48 78 0.0225564315348867
+1 0 2 0 0 36 48 79 -0.0820695960377903
+1 0 2 0 0 36 48 80 -0.18579645194211
+1 0 2 0 0 36 48 81 -0.287487683038545
+1 0 2 0 0 36 48 82 -0.385891631433328
+1 0 2 0 0 36 48 83 -0.480009934164087
+1 0 2 0 0 36 48 84 -0.569102810349535
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 0.3648836959112
+2 0 2 0 0 36 48 52 0.460231992899264
+2 0 2 0 0 36 48 53 0.550968192230083
+2 0 2 0 0 36 48 54 0.634887207611392
+2 0 2 0 0 36 48 55 0.712221625621245
+2 0 2 0 0 36 48 56 0.781692845238212
+2 0 2 0 0 36 48 57 0.842603149091102
+2 0 2 0 0 36 48 58 0.894281716516505
+2 0 2 0 0 36 48 59 0.936162346315273
+2 0 2 0 0 36 48 60 0.967786185543245
+2 0 2 0 0 36 48 61 0.988806756800127
+2 0 2 0 0 36 48 62 0.998993754308389
+2 0 2 0 0 36 48 63 0.998235567191566
+2 0 2 0 0 36 48 64 0.98654050230637
+2 0 2 0 0 36 48 65 0.964036693231034
+2 0 2 0 0 36 48 66 0.93097069640701
+2 0 2 0 0 36 48 67 0.887704789815009
+2 0 2 0 0 36 48 68 0.834713003781624
+2 0 2 0 0 36 48 69 0.772575927403883
+2 0 2 0 0 36 48 70 0.701974347493597
+2 0 2 0 0 36 48 71 0.623681789734596
+2 0 2 0 0 36 48 72 0.538556043773458
+2 0 2 0 0 36 48 73 0.44752976509664
+2 0 2 0 0 36 48 74 0.351600256661799
+2 0 2 0 0 36 48 75 0.251818542237888
+2 0 2 0 0 36 48 76 0.1492778511688
+2 0 2 0 0 36 48 77 0.0451016407239086
+2 0 2 0 0 36 48 78 -0.0595687127348792
+2 0 2 0 0 36 48 79 -0.163586418911389
+2 0 2 0 0 36 48 80 -0.265807540940721
+2 0 2 0 0 36 48 81 -0.36506145893459
+2 0 2 0 0 36 48 82 -0.460124534661428
+2 0 2 0 0 36 48 83 -0.550496759913957
+2 0 2 0 0 36 48 84 -0.634779370549876
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -0.986764645176802
+2 0 1 0 0 36 48 36 -0.932527316358608
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+2 0 1 0 0 36 48 56 0.781692845238212
+2 0 1 0 0 36 48 58 0.894281716516505
+2 0 1 0 0 36 48 60 0.967786185543245
+2 0 1 0 0 36 48 62 0.998993754308389
+2 0 1 0 0 36 48 64 0.98654050230637
+2 0 1 0 0 36 48 66 0.93097069640701
+2 0 1 0 0 36 48 68 0.834713003781624
+2 0 1 0 0 36 48 70 0.701974347493597
+2 0 1 0 0 36 48 72 0.538556043773458
+2 0 1 0 0 36 48 74 0.351600256661799
+2 0 1 0 0 36 48 76 0.1492778511688
+2 0 1 0 0 36 48 78 -0.0595687127348792
+2 0 1 0 0 36 48 80 -0.265807540940721
+2 0 1 0 0 36 48 82 -0.460124534661428
+2 0 1 0 0 36 48 84 -0.634779370549876
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+2 0 1 0 0 36 48 88 -0.894229352421313
+2 0 1 0 0 36 48 90 -0.967792747455212
+2 0 1 0 0 36 48 92 -0.999058955440474
+2 0 1 0 0 36 48 94 -0.986661493056232
+2 0 1 0 0 36 48 96 -0.930288208406172
+2 0 1 0 0 36 48 98 -0.836236858633532
+2 0 1 0 0 36 48 100 -0.70456292892012
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 0.439710115392275
+3 0 2 0 0 36 48 52 0.531226852602592
+3 0 2 0 0 36 48 53 0.617797117535352
+3 0 2 0 0 36 48 54 0.696053565389475
+3 0 2 0 0 36 48 55 0.767450528026307
+3 0 2 0 0 36 48 56 0.830242647510245
+3 0 2 0 0 36 48 57 0.883964690291593
+3 0 2 0 0 36 48 58 0.927998620667873
+3 0 2 0 0 36 48 59 0.961865312542048
+3 0 2 0 0 36 48 60 0.985193606768756
+3 0 2 0 0 36 48 61 0.997727913674688
+3 0 2 0 0 36 48 62 0.999330904770413
+3 0 2 0 0 36 48 63 0.989985017350036
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+3 0 2 0 0 36 48 69 0.71786482471605
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+3 0 2 0 0 36 48 72 0.467590241928664
+3 0 2 0 0 36 48 73 0.372629274349481
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+3 0 2 0 0 36 48 76 0.0676241549895258
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+3 0 2 0 0 36 48 83 -0.61677695687822
+3 0 2 0 0 36 48 84 -0.695815520319614
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 0.512107178482421
+4 0 2 0 0 36 48 52 0.599146619266701
+4 0 2 0 0 36 48 53 0.680470677423395
+4 0 2 0 0 36 48 54 0.752462363238624
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+4 0 2 0 0 36 48 60 0.995954359566485
+4 0 2 0 0 36 48 61 0.999917739901133
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+4 0 2 0 0 36 48 63 0.975055181579348
+4 0 2 0 0 36 48 64 0.946501642314714
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+4 0 2 0 0 36 48 67 0.800435369313813
+4 0 2 0 0 36 48 68 0.733390192409252
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+4 0 2 0 0 36 48 71 0.487413009966875
+4 0 2 0 0 36 48 72 0.393468915595497
+4 0 2 0 0 36 48 73 0.295213893446191
+4 0 2 0 0 36 48 74 0.19372444610281
+4 0 2 0 0 36 48 75 0.0901125131884797
+4 0 2 0 0 36 48 76 -0.0144867070812038
+4 0 2 0 0 36 48 77 -0.118927050461971
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+4 0 2 0 0 36 48 83 -0.679468370553804
+4 0 2 0 0 36 48 84 -0.752615979752553
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -0.948045062206597
+4 0 1 0 0 36 48 36 -0.861405240474847
+4 0 1 0 0 36 48 38 -0.735425071804322
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+4 0 1 0 0 36 48 60 0.995954359566485
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+4 0 1 0 0 36 48 98 -0.735919601592987
+4 0 1 0 0 36 48 100 -0.579295188642754
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 0.996953826263689
+4 0 0 0 0 36 48 4 0.948719671596808
+4 0 0 0 0 36 48 8 0.73644326686319
+4 0 0 0 0 36 48 12 0.396829130911887
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+4 0 0 0 0 36 48 52 0.599146619266701
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+4 0 0 0 0 36 48 60 0.995954359566485
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+4 0 0 0 0 36 48 112 0.597741369696014
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+4 0 0 0 0 36 48 124 0.948719671596808
+4 0 0 0 0 36 48 128 0.73644326686319
+4 0 0 0 0 36 48 132 0.396829130911887
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 0.580583049744437
+5 0 2 0 0 36 48 52 0.662570430575527
+5 0 2 0 0 36 48 53 0.738551479545431
+5 0 2 0 0 36 48 54 0.803757034785178
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+5 0 2 0 0 36 48 63 0.953546683772714
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+5 0 2 0 0 36 48 66 0.813757831646755
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+5 0 2 0 0 36 48 71 0.414108550228228
+5 0 2 0 0 36 48 72 0.316692086592302
+5 0 2 0 0 36 48 73 0.215805877437299
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+5 0 2 0 0 36 48 76 -0.0965007051978509
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+5 0 2 0 0 36 48 83 -0.736987804217344
+5 0 2 0 0 36 48 84 -0.804006297955056
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 0.645609808935192
+6 0 2 0 0 36 48 52 0.721971907301092
+6 0 2 0 0 36 48 53 0.791643841422777
+6 0 2 0 0 36 48 54 0.849592124887441
+6 0 2 0 0 36 48 55 0.900913659429769
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+6 0 2 0 0 36 48 58 0.990883285818922
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+6 0 2 0 0 36 48 61 0.984089228941505
+6 0 2 0 0 36 48 62 0.960106352355439
+6 0 2 0 0 36 48 63 0.925604341726627
+6 0 2 0 0 36 48 64 0.880961227748025
+6 0 2 0 0 36 48 65 0.826666106213437
+6 0 2 0 0 36 48 66 0.763313869953265
+6 0 2 0 0 36 48 67 0.691598595077947
+6 0 2 0 0 36 48 68 0.61230603325522
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+6 0 2 0 0 36 48 71 0.338009168367613
+6 0 2 0 0 36 48 72 0.237777562991005
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+6 0 2 0 0 36 48 74 0.0306256243836891
+6 0 2 0 0 36 48 75 -0.0740250380703809
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+6 0 2 0 0 36 48 83 -0.790192443804674
+6 0 2 0 0 36 48 84 -0.850377958558336
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -0.88504128396079
+6 0 1 0 0 36 48 36 -0.768694090603434
+6 0 1 0 0 36 48 38 -0.614841343239414
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+6 0 1 0 0 36 48 60 0.997290160024014
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+6 0 1 0 0 36 48 100 -0.441706291557492
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 0.705873049433289
+7 0 2 0 0 36 48 52 0.776093486808575
+7 0 2 0 0 36 48 53 0.83938284105889
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+7 0 2 0 0 36 48 63 0.891415791426648
+7 0 2 0 0 36 48 64 0.839152841904983
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+7 0 2 0 0 36 48 83 -0.837458382575393
+7 0 2 0 0 36 48 84 -0.890740129771738
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 0.761760613469106
+8 0 2 0 0 36 48 52 0.825354356642917
+8 0 2 0 0 36 48 53 0.881451072967609
+8 0 2 0 0 36 48 54 0.923781126629712
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+8 0 2 0 0 36 48 84 -0.925423088858812
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -0.796733086189038
+8 0 1 0 0 36 48 36 -0.65308962757073
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+8 0 1 0 0 36 48 98 -0.479901838929658
+8 0 1 0 0 36 48 100 -0.288965398326121
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 0.97571163067272
+8 0 0 0 0 36 48 4 0.797508358468365
+8 0 0 0 0 36 48 8 0.481408645948837
+8 0 0 0 0 36 48 12 0.0820690050845114
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+8 0 0 0 0 36 48 100 -0.288965398326121
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+8 0 0 0 0 36 48 128 0.481408645948837
+8 0 0 0 0 36 48 132 0.0820690050845114
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 0.812164882070232
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+9 0 2 0 0 36 48 67 0.494441861085935
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+9 0 2 0 0 36 48 83 -0.915546202250891
+9 0 2 0 0 36 48 84 -0.953649810402884
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 0.857395277796997
+10 0 2 0 0 36 48 52 0.906484130582639
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+10 0 2 0 0 36 48 84 -0.975679302876179
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -0.689419435292566
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+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 0.896564354410758
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+11 0 2 0 0 36 48 84 -0.990976586156896
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 0.929912371085209
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+12 0 2 0 0 36 48 84 -0.9997199869523
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -0.560635847083225
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+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 0.851778147743213
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+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 0.956782451444275
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+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 0.977344963657999
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+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 -0.2643464957027
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+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 0.637920049169408
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+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 0.998868098422963
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+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 0.992542089769031
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+18 0 2 0 0 36 48 84 -0.911090203005111
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 -0.105350040542027
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+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 0.979607004080386
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+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 0.959914570838227
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+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 0.0608359186189312
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+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+22 0 2 0 0 36 48 83 -0.794986552086982
+22 0 2 0 0 36 48 84 -0.727600185203726
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 0.221370160939068
+22 0 1 0 0 36 48 36 0.421618151123317
+22 0 1 0 0 36 48 38 0.61191088898594
+22 0 1 0 0 36 48 40 0.755366308304349
+22 0 1 0 0 36 48 42 0.879505018927281
+22 0 1 0 0 36 48 44 0.959706393256318
+22 0 1 0 0 36 48 46 0.996699731799141
+22 0 1 0 0 36 48 48 0.99241112692576
+22 0 1 0 0 36 48 50 0.941550513808279
+22 0 1 0 0 36 48 52 0.851580808400708
+22 0 1 0 0 36 48 54 0.72167670377762
+22 0 1 0 0 36 48 56 0.561898926515595
+22 0 1 0 0 36 48 58 0.377379804611472
+22 0 1 0 0 36 48 60 0.176992547525895
+22 0 1 0 0 36 48 62 -0.0306202723946261
+22 0 1 0 0 36 48 64 -0.237161635947279
+22 0 1 0 0 36 48 66 -0.433642956941847
+22 0 1 0 0 36 48 68 -0.611273355607658
+22 0 1 0 0 36 48 70 -0.762164828123351
+22 0 1 0 0 36 48 72 -0.879567439124035
+22 0 1 0 0 36 48 74 -0.958179945627247
+22 0 1 0 0 36 48 76 -0.99501484781864
+22 0 1 0 0 36 48 78 -0.989613165189054
+22 0 1 0 0 36 48 80 -0.941836499295117
+22 0 1 0 0 36 48 82 -0.852492243213174
+22 0 1 0 0 36 48 84 -0.727600185203726
+22 0 1 0 0 36 48 86 -0.566631538611873
+22 0 1 0 0 36 48 88 -0.385353253376411
+22 0 1 0 0 36 48 90 -0.183400167220833
+22 0 1 0 0 36 48 92 0.0220223133509799
+22 0 1 0 0 36 48 94 0.225467197431368
+22 0 1 0 0 36 48 96 0.41856841528826
+22 0 1 0 0 36 48 98 0.595931555544567
+22 0 1 0 0 36 48 100 0.751689551579416
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 0.863178313338743
+23 0 2 0 0 36 48 52 0.805996257746672
+23 0 2 0 0 36 48 53 0.738545239805454
+23 0 2 0 0 36 48 54 0.662814419841018
+23 0 2 0 0 36 48 55 0.582231905980771
+23 0 2 0 0 36 48 56 0.49249251446921
+23 0 2 0 0 36 48 57 0.40052278222341
+23 0 2 0 0 36 48 58 0.300430343298741
+23 0 2 0 0 36 48 59 0.201468651984398
+23 0 2 0 0 36 48 60 0.0956705261865824
+23 0 2 0 0 36 48 61 -0.00675337668655841
+23 0 2 0 0 36 48 62 -0.112562665375453
+23 0 2 0 0 36 48 63 -0.214755570924165
+23 0 2 0 0 36 48 64 -0.315994455858404
+23 0 2 0 0 36 48 65 -0.413107766908253
+23 0 2 0 0 36 48 66 -0.505947682000826
+23 0 2 0 0 36 48 67 -0.59322274251793
+23 0 2 0 0 36 48 68 -0.6739245796014
+23 0 2 0 0 36 48 69 -0.74731991401765
+23 0 2 0 0 36 48 70 -0.812414828958825
+23 0 2 0 0 36 48 71 -0.868574111649488
+23 0 2 0 0 36 48 72 -0.915176236620246
+23 0 2 0 0 36 48 73 -0.951488393730963
+23 0 2 0 0 36 48 74 -0.97762929481556
+23 0 2 0 0 36 48 75 -0.992780624838163
+23 0 2 0 0 36 48 76 -0.997743127317775
+23 0 2 0 0 36 48 77 -0.991890539526515
+23 0 2 0 0 36 48 78 -0.975649720944747
+23 0 2 0 0 36 48 79 -0.948746820429724
+23 0 2 0 0 36 48 80 -0.911434111276648
+23 0 2 0 0 36 48 81 -0.863862066375786
+23 0 2 0 0 36 48 82 -0.806859413847678
+23 0 2 0 0 36 48 83 -0.742267904933205
+23 0 2 0 0 36 48 84 -0.668790166484739
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 0.818788698958798
+24 0 2 0 0 36 48 52 0.754714518429059
+24 0 2 0 0 36 48 53 0.680465254625992
+24 0 2 0 0 36 48 54 0.599588224982294
+24 0 2 0 0 36 48 55 0.513481082494148
+24 0 2 0 0 36 48 56 0.419894640214535
+24 0 2 0 0 36 48 57 0.324019812535404
+24 0 2 0 0 36 48 58 0.221675016655828
+24 0 2 0 0 36 48 59 0.120611745410776
+24 0 2 0 0 36 48 60 0.0139474788050337
+24 0 2 0 0 36 48 61 -0.0883812368479551
+24 0 2 0 0 36 48 62 -0.193558271506239
+24 0 2 0 0 36 48 63 -0.293731763802725
+24 0 2 0 0 36 48 64 -0.392525077038734
+24 0 2 0 0 36 48 65 -0.486028882200957
+24 0 2 0 0 36 48 66 -0.574665024344734
+24 0 2 0 0 36 48 67 -0.656865823379861
+24 0 2 0 0 36 48 68 -0.731860912054079
+24 0 2 0 0 36 48 69 -0.798860355641502
+24 0 2 0 0 36 48 70 -0.8570273876731
+24 0 2 0 0 36 48 71 -0.905704098617557
+24 0 2 0 0 36 48 72 -0.94447954695528
+24 0 2 0 0 36 48 73 -0.972599254603057
+24 0 2 0 0 36 48 74 -0.990437872009896
+24 0 2 0 0 36 48 75 -0.997230854300112
+24 0 2 0 0 36 48 76 -0.993814110325832
+24 0 2 0 0 36 48 77 -0.979706832086416
+24 0 2 0 0 36 48 78 -0.95516233596095
+24 0 2 0 0 36 48 79 -0.920091161864515
+24 0 2 0 0 36 48 80 -0.874878027713492
+24 0 2 0 0 36 48 81 -0.819797745702844
+24 0 2 0 0 36 48 82 -0.755782455628652
+24 0 2 0 0 36 48 83 -0.684792263752992
+24 0 2 0 0 36 48 84 -0.605088732289122
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 0.380272199381859
+24 0 1 0 0 36 48 36 0.566674667764393
+24 0 1 0 0 36 48 38 0.734135960660039
+24 0 1 0 0 36 48 40 0.850165102399568
+24 0 1 0 0 36 48 42 0.946809089589225
+24 0 1 0 0 36 48 44 0.992807440780675
+24 0 1 0 0 36 48 46 0.996305790932355
+24 0 1 0 0 36 48 48 0.957900154946224
+24 0 1 0 0 36 48 50 0.874046270217942
+24 0 1 0 0 36 48 52 0.754714518429059
+24 0 1 0 0 36 48 54 0.599588224982294
+24 0 1 0 0 36 48 56 0.419894640214535
+24 0 1 0 0 36 48 58 0.221675016655828
+24 0 1 0 0 36 48 60 0.0139474788050337
+24 0 1 0 0 36 48 62 -0.193558271506239
+24 0 1 0 0 36 48 64 -0.392525077038734
+24 0 1 0 0 36 48 66 -0.574665024344734
+24 0 1 0 0 36 48 68 -0.731860912054079
+24 0 1 0 0 36 48 70 -0.8570273876731
+24 0 1 0 0 36 48 72 -0.94447954695528
+24 0 1 0 0 36 48 74 -0.990437872009896
+24 0 1 0 0 36 48 76 -0.993814110325832
+24 0 1 0 0 36 48 78 -0.95516233596095
+24 0 1 0 0 36 48 80 -0.874878027713492
+24 0 1 0 0 36 48 82 -0.755782455628652
+24 0 1 0 0 36 48 84 -0.605088732289122
+24 0 1 0 0 36 48 86 -0.424445214822042
+24 0 1 0 0 36 48 88 -0.229476850807541
+24 0 1 0 0 36 48 90 -0.0210421646096429
+24 0 1 0 0 36 48 92 0.183357686682359
+24 0 1 0 0 36 48 94 0.379173438218408
+24 0 1 0 0 36 48 96 0.558967039599973
+24 0 1 0 0 36 48 98 0.720674708047907
+24 0 1 0 0 36 48 100 0.852945626096245
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 0.0366537871850513
+24 0 0 0 0 36 48 4 -0.376202192315102
+24 0 0 0 0 36 48 8 -0.723996248719048
+24 0 0 0 0 36 48 12 -0.946605480875112
+24 0 0 0 0 36 48 16 -1.00552927590843
+24 0 0 0 0 36 48 20 -0.890551632610173
+24 0 0 0 0 36 48 24 -0.621312470557276
+24 0 0 0 0 36 48 28 -0.244181071425793
+24 0 0 0 0 36 48 32 0.177040547373138
+24 0 0 0 0 36 48 36 0.566674667764393
+24 0 0 0 0 36 48 40 0.850165102399568
+24 0 0 0 0 36 48 44 0.992807440780675
+24 0 0 0 0 36 48 48 0.957900154946224
+24 0 0 0 0 36 48 52 0.754714518429059
+24 0 0 0 0 36 48 56 0.419894640214535
+24 0 0 0 0 36 48 60 0.0139474788050337
+24 0 0 0 0 36 48 64 -0.392525077038734
+24 0 0 0 0 36 48 68 -0.731860912054079
+24 0 0 0 0 36 48 72 -0.94447954695528
+24 0 0 0 0 36 48 76 -0.993814110325832
+24 0 0 0 0 36 48 80 -0.874878027713492
+24 0 0 0 0 36 48 84 -0.605088732289122
+24 0 0 0 0 36 48 88 -0.229476850807541
+24 0 0 0 0 36 48 92 0.183357686682359
+24 0 0 0 0 36 48 96 0.558967039599973
+24 0 0 0 0 36 48 100 0.852945626096245
+24 0 0 0 0 36 48 104 1.00081194158219
+24 0 0 0 0 36 48 108 0.968171917919814
+24 0 0 0 0 36 48 112 0.773393940921524
+24 0 0 0 0 36 48 116 0.4430810419628
+24 0 0 0 0 36 48 120 0.0366537871850513
+24 0 0 0 0 36 48 124 -0.376202192315102
+24 0 0 0 0 36 48 128 -0.723996248719048
+24 0 0 0 0 36 48 132 -0.946605480875112
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.xl
new file mode 100644
index 000000000..7341851a8
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.xl
@@ -0,0 +1,1082 @@
+# HYDROTOY::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0.374387331157387
+0 0 2 0 0 28 48 64 0.426199910483233
+0 0 2 0 0 29 48 64 0.473342954401761
+0 0 2 0 0 30 48 64 0.515299953858481
+0 0 2 0 0 31 48 64 0.55161121918728
+0 0 2 0 0 32 48 64 0.581878916566594
+0 0 2 0 0 33 48 64 0.605771426770014
+0 0 2 0 0 34 48 64 0.62302697845592
+0 0 2 0 0 35 48 64 0.633456516189086
+0 0 2 0 0 36 48 64 0.636945771771587
+0 0 2 0 0 37 48 64 0.633456516189086
+0 0 2 0 0 38 48 64 0.62302697845592
+0 0 2 0 0 39 48 64 0.605771426770014
+0 0 2 0 0 40 48 64 0.581878916566594
+0 0 2 0 0 41 48 64 0.55161121918728
+0 0 2 0 0 42 48 64 0.515299953858481
+0 0 2 0 0 43 48 64 0.47334295440176
+0 0 2 0 0 44 48 64 0.426199910483233
+0 0 2 0 0 45 48 64 0.374387331157387
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -0.196827067972686
+0 0 1 0 0 20 48 64 -0.0665789627081124
+0 0 1 0 0 22 48 64 0.0665789627081145
+0 0 1 0 0 24 48 64 0.196827067972688
+0 0 1 0 0 26 48 64 0.318472885885794
+0 0 1 0 0 28 48 64 0.426199910483233
+0 0 1 0 0 30 48 64 0.515299953858481
+0 0 1 0 0 32 48 64 0.581878916566594
+0 0 1 0 0 34 48 64 0.62302697845592
+0 0 1 0 0 36 48 64 0.636945771771587
+0 0 1 0 0 38 48 64 0.62302697845592
+0 0 1 0 0 40 48 64 0.581878916566594
+0 0 1 0 0 42 48 64 0.515299953858481
+0 0 1 0 0 44 48 64 0.426199910483233
+0 0 1 0 0 46 48 64 0.318472885885794
+0 0 1 0 0 48 48 64 0.196827067972688
+0 0 1 0 0 50 48 64 0.0665789627081145
+0 0 1 0 0 52 48 64 -0.0665789627081126
+0 0 1 0 0 54 48 64 -0.196827067972686
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -0.515299953858482
+0 0 0 0 0 4 48 64 -0.62302697845592
+0 0 0 0 0 8 48 64 -0.62302697845592
+0 0 0 0 0 12 48 64 -0.51529995385848
+0 0 0 0 0 16 48 64 -0.318472885885792
+0 0 0 0 0 20 48 64 -0.0665789627081124
+0 0 0 0 0 24 48 64 0.196827067972688
+0 0 0 0 0 28 48 64 0.426199910483233
+0 0 0 0 0 32 48 64 0.581878916566594
+0 0 0 0 0 36 48 64 0.636945771771587
+0 0 0 0 0 40 48 64 0.581878916566594
+0 0 0 0 0 44 48 64 0.426199910483233
+0 0 0 0 0 48 48 64 0.196827067972688
+0 0 0 0 0 52 48 64 -0.0665789627081126
+0 0 0 0 0 56 48 64 -0.318472885885792
+0 0 0 0 0 60 48 64 -0.51529995385848
+0 0 0 0 0 64 48 64 -0.62302697845592
+0 0 0 0 0 68 48 64 -0.62302697845592
+0 0 0 0 0 72 48 64 -0.515299953858482
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0.415209098701788
+1 0 2 0 0 28 48 64 0.463442390111039
+1 0 2 0 0 29 48 64 0.507031761119497
+1 0 2 0 0 30 48 64 0.544285038367555
+1 0 2 0 0 31 48 64 0.575886011726491
+1 0 2 0 0 32 48 64 0.601177457429056
+1 0 2 0 0 33 48 64 0.619882277103558
+1 0 2 0 0 34 48 64 0.631795536831408
+1 0 2 0 0 35 48 64 0.636786712446016
+1 0 2 0 0 36 48 64 0.63480111958288
+1 0 2 0 0 37 48 64 0.625860512812919
+1 0 2 0 0 38 48 64 0.610062847294848
+1 0 2 0 0 39 48 64 0.587581205557956
+1 0 2 0 0 40 48 64 0.558661901173699
+1 0 2 0 0 41 48 64 0.523621780092664
+1 0 2 0 0 42 48 64 0.482844749214032
+1 0 2 0 0 43 48 64 0.436533800510173
+1 0 2 0 0 44 48 64 0.386133747478479
+1 0 2 0 0 45 48 64 0.331051619143378
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0.453478940794559
+2 0 2 0 0 28 48 64 0.497773510679683
+2 0 2 0 0 29 48 64 0.537331444849148
+2 0 2 0 0 30 48 64 0.569543939890536
+2 0 2 0 0 31 48 64 0.596286120524326
+2 0 2 0 0 32 48 64 0.616420941848547
+2 0 2 0 0 33 48 64 0.62981184499232
+2 0 2 0 0 34 48 64 0.636302397765754
+2 0 2 0 0 35 48 64 0.63582148831443
+2 0 2 0 0 36 48 64 0.628374385582933
+2 0 2 0 0 37 48 64 0.614042681587195
+2 0 2 0 0 38 48 64 0.592983397475296
+2 0 2 0 0 39 48 64 0.565427263170904
+2 0 2 0 0 40 48 64 0.53167618944795
+2 0 2 0 0 41 48 64 0.492092342329538
+2 0 2 0 0 42 48 64 0.447100384207639
+2 0 2 0 0 43 48 64 0.396846093729799
+2 0 2 0 0 44 48 64 0.343265013492209
+2 0 2 0 0 45 48 64 0.285282407381633
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -0.0973195350500494
+2 0 1 0 0 20 48 64 0.0356668155049764
+2 0 1 0 0 22 48 64 0.169271369771323
+2 0 1 0 0 24 48 64 0.293071522772708
+2 0 1 0 0 26 48 64 0.404256490972886
+2 0 1 0 0 28 48 64 0.497773510679683
+2 0 1 0 0 30 48 64 0.569543939890536
+2 0 1 0 0 32 48 64 0.616420941848547
+2 0 1 0 0 34 48 64 0.636302397765754
+2 0 1 0 0 36 48 64 0.628374385582933
+2 0 1 0 0 38 48 64 0.592983397475296
+2 0 1 0 0 40 48 64 0.53167618944795
+2 0 1 0 0 42 48 64 0.447100384207639
+2 0 1 0 0 44 48 64 0.343265013492209
+2 0 1 0 0 46 48 64 0.22419968498093
+2 0 1 0 0 48 48 64 0.0953357544065354
+2 0 1 0 0 50 48 64 -0.0371738401891932
+2 0 1 0 0 52 48 64 -0.167163605655932
+2 0 1 0 0 54 48 64 -0.291147369612687
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0.488475431137181
+3 0 2 0 0 28 48 64 0.528551497962156
+3 0 2 0 0 29 48 64 0.56401022967574
+3 0 2 0 0 30 48 64 0.590911982676096
+3 0 2 0 0 31 48 64 0.612695469953653
+3 0 2 0 0 32 48 64 0.627503201183333
+3 0 2 0 0 33 48 64 0.63549339430043
+3 0 2 0 0 34 48 64 0.636517106211236
+3 0 2 0 0 35 48 64 0.630567307214526
+3 0 2 0 0 36 48 64 0.617708880845281
+3 0 2 0 0 37 48 64 0.598082706713601
+3 0 2 0 0 38 48 64 0.571903813290315
+3 0 2 0 0 39 48 64 0.539458783953694
+3 0 2 0 0 40 48 64 0.501101613626932
+3 0 2 0 0 41 48 64 0.457225289456085
+3 0 2 0 0 42 48 64 0.408317144889896
+3 0 2 0 0 43 48 64 0.354570400036005
+3 0 2 0 0 44 48 64 0.29836488536318
+3 0 2 0 0 45 48 64 0.237890132355784
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0.520434500370626
+4 0 2 0 0 28 48 64 0.555990276700794
+4 0 2 0 0 29 48 64 0.586865418231431
+4 0 2 0 0 30 48 64 0.60824536703471
+4 0 2 0 0 31 48 64 0.625018499660168
+4 0 2 0 0 32 48 64 0.634343056557034
+4 0 2 0 0 33 48 64 0.636890776096436
+4 0 2 0 0 34 48 64 0.6324380136995
+4 0 2 0 0 35 48 64 0.6210595786985
+4 0 2 0 0 36 48 64 0.602876514907985
+4 0 2 0 0 37 48 64 0.578088211911727
+4 0 2 0 0 38 48 64 0.546966162393243
+4 0 2 0 0 39 48 64 0.509849505075659
+4 0 2 0 0 40 48 64 0.46714115406134
+4 0 2 0 0 41 48 64 0.41925065825002
+4 0 2 0 0 42 48 64 0.366786151089624
+4 0 2 0 0 43 48 64 0.30999616415485
+4 0 2 0 0 44 48 64 0.25117630414514
+4 0 2 0 0 45 48 64 0.188570587524289
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 0.00664574421749244
+4 0 1 0 0 20 48 64 0.139079131940516
+4 0 1 0 0 22 48 64 0.267990694475707
+4 0 1 0 0 24 48 64 0.381367593493265
+4 0 1 0 0 26 48 64 0.479211741412849
+4 0 1 0 0 28 48 64 0.555990276700794
+4 0 1 0 0 30 48 64 0.60824536703471
+4 0 1 0 0 32 48 64 0.634343056557034
+4 0 1 0 0 34 48 64 0.6324380136995
+4 0 1 0 0 36 48 64 0.602876514907985
+4 0 1 0 0 38 48 64 0.546966162393243
+4 0 1 0 0 40 48 64 0.46714115406134
+4 0 1 0 0 42 48 64 0.366786151089624
+4 0 1 0 0 44 48 64 0.25117630414514
+4 0 1 0 0 46 48 64 0.123904363243549
+4 0 1 0 0 48 48 64 -0.00858254917153948
+4 0 1 0 0 50 48 64 -0.139448071603551
+4 0 1 0 0 52 48 64 -0.265429365246958
+4 0 1 0 0 54 48 64 -0.379908726375628
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -0.608492170320791
+4 0 0 0 0 4 48 64 -0.633457407715208
+4 0 0 0 0 8 48 64 -0.548892104535778
+4 0 0 0 0 12 48 64 -0.369418369953888
+4 0 0 0 0 16 48 64 -0.126068843146438
+4 0 0 0 0 20 48 64 0.139079131940516
+4 0 0 0 0 24 48 64 0.381367593493265
+4 0 0 0 0 28 48 64 0.555990276700794
+4 0 0 0 0 32 48 64 0.634343056557034
+4 0 0 0 0 36 48 64 0.602876514907985
+4 0 0 0 0 40 48 64 0.46714115406134
+4 0 0 0 0 44 48 64 0.25117630414514
+4 0 0 0 0 48 48 64 -0.00858254917153948
+4 0 0 0 0 52 48 64 -0.265429365246958
+4 0 0 0 0 56 48 64 -0.478313108700085
+4 0 0 0 0 60 48 64 -0.608492170320791
+4 0 0 0 0 64 48 64 -0.633457407715208
+4 0 0 0 0 68 48 64 -0.548892104535778
+4 0 0 0 0 72 48 64 -0.369418369953888
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0.548686506758381
+5 0 2 0 0 28 48 64 0.579463692406803
+5 0 2 0 0 29 48 64 0.605720399782691
+5 0 2 0 0 30 48 64 0.621447170667601
+5 0 2 0 0 31 48 64 0.633182616389233
+5 0 2 0 0 32 48 64 0.636886147540174
+5 0 2 0 0 33 48 64 0.633999447161221
+5 0 2 0 0 34 48 64 0.624091892734295
+5 0 2 0 0 35 48 64 0.607362537961676
+5 0 2 0 0 36 48 64 0.583977300176662
+5 0 2 0 0 37 48 64 0.554193956030146
+5 0 2 0 0 38 48 64 0.518338229818814
+5 0 2 0 0 39 48 64 0.476796342527192
+5 0 2 0 0 40 48 64 0.43002140669958
+5 0 2 0 0 41 48 64 0.378431999844101
+5 0 2 0 0 42 48 64 0.322799302131819
+5 0 2 0 0 43 48 64 0.263427832280763
+5 0 2 0 0 44 48 64 0.202641291298467
+5 0 2 0 0 45 48 64 0.138363126149247
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0.573422837548203
+6 0 2 0 0 28 48 64 0.599180463243114
+6 0 2 0 0 29 48 64 0.620446498163252
+6 0 2 0 0 30 48 64 0.630438162711563
+6 0 2 0 0 31 48 64 0.637130867392252
+6 0 2 0 0 32 48 64 0.635107190001493
+6 0 2 0 0 33 48 64 0.62684660391392
+6 0 2 0 0 34 48 64 0.611533309659952
+6 0 2 0 0 35 48 64 0.589569092195076
+6 0 2 0 0 36 48 64 0.561138616584436
+6 0 2 0 0 37 48 64 0.526560765894301
+6 0 2 0 0 38 48 64 0.486212242678149
+6 0 2 0 0 39 48 64 0.440518864230281
+6 0 2 0 0 40 48 64 0.389992767818748
+6 0 2 0 0 41 48 64 0.335056520735826
+6 0 2 0 0 42 48 64 0.276683325782886
+6 0 2 0 0 43 48 64 0.215175082359304
+6 0 2 0 0 44 48 64 0.152445839669701
+6 0 2 0 0 45 48 64 0.0868769139013946
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0.108210058799784
+6 0 1 0 0 20 48 64 0.236717959365883
+6 0 1 0 0 22 48 64 0.3600123823013
+6 0 1 0 0 24 48 64 0.459313830815673
+6 0 1 0 0 26 48 64 0.541367828724082
+6 0 1 0 0 28 48 64 0.599180463243114
+6 0 1 0 0 30 48 64 0.630438162711563
+6 0 1 0 0 32 48 64 0.635107190001493
+6 0 1 0 0 34 48 64 0.611533309659952
+6 0 1 0 0 36 48 64 0.561138616584436
+6 0 1 0 0 38 48 64 0.486212242678149
+6 0 1 0 0 40 48 64 0.389992767818748
+6 0 1 0 0 42 48 64 0.276683325782886
+6 0 1 0 0 44 48 64 0.152445839669701
+6 0 1 0 0 46 48 64 0.0203325370825568
+6 0 1 0 0 48 48 64 -0.112120882211486
+6 0 1 0 0 50 48 64 -0.237591179625909
+6 0 1 0 0 52 48 64 -0.354405853631302
+6 0 1 0 0 54 48 64 -0.456529014462486
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0.594154195646264
+7 0 2 0 0 28 48 64 0.614677675028154
+7 0 2 0 0 29 48 64 0.63093920983079
+7 0 2 0 0 30 48 64 0.635177474641797
+7 0 2 0 0 31 48 64 0.636827627983999
+7 0 2 0 0 32 48 64 0.629012254088869
+7 0 2 0 0 33 48 64 0.615489951204166
+7 0 2 0 0 34 48 64 0.594843913206988
+7 0 2 0 0 35 48 64 0.567800593952105
+7 0 2 0 0 36 48 64 0.534514205498578
+7 0 2 0 0 37 48 64 0.495374292680557
+7 0 2 0 0 38 48 64 0.450803661538569
+7 0 2 0 0 39 48 64 0.401259008387553
+7 0 2 0 0 40 48 64 0.347329017218279
+7 0 2 0 0 41 48 64 0.289438782518521
+7 0 2 0 0 42 48 64 0.228754807211214
+7 0 2 0 0 43 48 64 0.165551820417876
+7 0 2 0 0 44 48 64 0.101577702436304
+7 0 2 0 0 45 48 64 0.0352004202873024
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0.610996800836489
+8 0 2 0 0 28 48 64 0.626109632489114
+8 0 2 0 0 29 48 64 0.63714332142111
+8 0 2 0 0 30 48 64 0.635639981337724
+8 0 2 0 0 31 48 64 0.632256118313554
+8 0 2 0 0 32 48 64 0.618640243284
+8 0 2 0 0 33 48 64 0.600015551552471
+8 0 2 0 0 34 48 64 0.574131846907294
+8 0 2 0 0 35 48 64 0.542206418816047
+8 0 2 0 0 36 48 64 0.504282895512788
+8 0 2 0 0 37 48 64 0.460843732862034
+8 0 2 0 0 38 48 64 0.412350078110963
+8 0 2 0 0 39 48 64 0.359281206261346
+8 0 2 0 0 40 48 64 0.302325998136408
+8 0 2 0 0 41 48 64 0.241906821171052
+8 0 2 0 0 42 48 64 0.179356720474397
+8 0 2 0 0 43 48 64 0.114877276798828
+8 0 2 0 0 44 48 64 0.0497076285391217
+8 0 2 0 0 45 48 64 -0.0170725308716397
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0.20985486502644
+8 0 1 0 0 20 48 64 0.330896640191952
+8 0 1 0 0 22 48 64 0.442672366425865
+8 0 1 0 0 24 48 64 0.524673947428263
+8 0 1 0 0 26 48 64 0.589078941048663
+8 0 1 0 0 28 48 64 0.626109632489114
+8 0 1 0 0 30 48 64 0.635639981337724
+8 0 1 0 0 32 48 64 0.618640243284
+8 0 1 0 0 34 48 64 0.574131846907294
+8 0 1 0 0 36 48 64 0.504282895512788
+8 0 1 0 0 38 48 64 0.412350078110963
+8 0 1 0 0 40 48 64 0.302325998136408
+8 0 1 0 0 42 48 64 0.179356720474397
+8 0 1 0 0 44 48 64 0.0497076285391217
+8 0 1 0 0 46 48 64 -0.0836918070834078
+8 0 1 0 0 48 48 64 -0.212367107318281
+8 0 1 0 0 50 48 64 -0.329111704809241
+8 0 1 0 0 52 48 64 -0.436416533425594
+8 0 1 0 0 54 48 64 -0.523397131801485
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -0.638086200378305
+8 0 0 0 0 4 48 64 -0.57748024821656
+8 0 0 0 0 8 48 64 -0.417022714894814
+8 0 0 0 0 12 48 64 -0.184458165635327
+8 0 0 0 0 16 48 64 0.0800380178333529
+8 0 0 0 0 20 48 64 0.330896640191952
+8 0 0 0 0 24 48 64 0.524673947428263
+8 0 0 0 0 28 48 64 0.626109632489114
+8 0 0 0 0 32 48 64 0.618640243284
+8 0 0 0 0 36 48 64 0.504282895512788
+8 0 0 0 0 40 48 64 0.302325998136408
+8 0 0 0 0 44 48 64 0.0497076285391217
+8 0 0 0 0 48 48 64 -0.212367107318281
+8 0 0 0 0 52 48 64 -0.436416533425594
+8 0 0 0 0 56 48 64 -0.588421629037836
+8 0 0 0 0 60 48 64 -0.638086200378305
+8 0 0 0 0 64 48 64 -0.57748024821656
+8 0 0 0 0 68 48 64 -0.417022714894814
+8 0 0 0 0 72 48 64 -0.184458165635327
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0.62364387953835
+9 0 2 0 0 28 48 64 0.633195382228976
+9 0 2 0 0 29 48 64 0.639025467998563
+9 0 2 0 0 30 48 64 0.63183082327273
+9 0 2 0 0 31 48 64 0.623426075194888
+9 0 2 0 0 32 48 64 0.604063470489263
+9 0 2 0 0 33 48 64 0.580534902401887
+9 0 2 0 0 34 48 64 0.549531363045302
+9 0 2 0 0 35 48 64 0.512963172831788
+9 0 2 0 0 36 48 64 0.470647115210927
+9 0 2 0 0 37 48 64 0.423200663520515
+9 0 2 0 0 38 48 64 0.371110246532723
+9 0 2 0 0 39 48 64 0.314871961422551
+9 0 2 0 0 40 48 64 0.255299102049644
+9 0 2 0 0 41 48 64 0.192804340017126
+9 0 2 0 0 42 48 64 0.128813391830755
+9 0 2 0 0 43 48 64 0.0634730293136266
+9 0 2 0 0 44 48 64 -0.00215037860468994
+9 0 2 0 0 45 48 64 -0.0688302673926655
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0.632152079513381
+10 0 2 0 0 28 48 64 0.63602857538008
+10 0 2 0 0 29 48 64 0.636597125522463
+10 0 2 0 0 30 48 64 0.623772178708004
+10 0 2 0 0 31 48 64 0.610374669884799
+10 0 2 0 0 32 48 64 0.585386784084873
+10 0 2 0 0 33 48 64 0.557182026404185
+10 0 2 0 0 34 48 64 0.521202660393054
+10 0 2 0 0 35 48 64 0.480273369405516
+10 0 2 0 0 36 48 64 0.433831303041527
+10 0 2 0 0 37 48 64 0.382698091138149
+10 0 2 0 0 38 48 64 0.327363087100221
+10 0 2 0 0 39 48 64 0.268338948070378
+10 0 2 0 0 40 48 64 0.206579724390037
+10 0 2 0 0 41 48 64 0.142475968616333
+10 0 2 0 0 42 48 64 0.0774703479636887
+10 0 2 0 0 43 48 64 0.0116685379972373
+10 0 2 0 0 44 48 64 -0.0543343201341828
+10 0 2 0 0 45 48 64 -0.120473915806961
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0.30336785861772
+10 0 1 0 0 20 48 64 0.413778146486712
+10 0 1 0 0 22 48 64 0.513544759174267
+10 0 1 0 0 24 48 64 0.575751422339111
+10 0 1 0 0 26 48 64 0.62111653907505
+10 0 1 0 0 28 48 64 0.63602857538008
+10 0 1 0 0 30 48 64 0.623772178708004
+10 0 1 0 0 32 48 64 0.585386784084873
+10 0 1 0 0 34 48 64 0.521202660393054
+10 0 1 0 0 36 48 64 0.433831303041527
+10 0 1 0 0 38 48 64 0.327363087100221
+10 0 1 0 0 40 48 64 0.206579724390037
+10 0 1 0 0 42 48 64 0.0774703479636887
+10 0 1 0 0 44 48 64 -0.0543343201341828
+10 0 1 0 0 46 48 64 -0.185290255741073
+10 0 1 0 0 48 48 64 -0.306686678659708
+10 0 1 0 0 50 48 64 -0.41178727631377
+10 0 1 0 0 52 48 64 -0.504881223259613
+10 0 1 0 0 54 48 64 -0.574672119963842
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 0.636374286550646
+11 0 2 0 0 28 48 64 0.634510981108849
+11 0 2 0 0 29 48 64 0.629886501255216
+11 0 2 0 0 30 48 64 0.611512362118719
+11 0 2 0 0 31 48 64 0.593173046494493
+11 0 2 0 0 32 48 64 0.562745613680561
+11 0 2 0 0 33 48 64 0.530111000349898
+11 0 2 0 0 34 48 64 0.489331804612862
+11 0 2 0 0 35 48 64 0.444363491529422
+11 0 2 0 0 36 48 64 0.394080357695485
+11 0 2 0 0 37 48 64 0.339609705596599
+11 0 2 0 0 38 48 64 0.281406509528054
+11 0 2 0 0 39 48 64 0.220008786956906
+11 0 2 0 0 40 48 64 0.156510820155268
+11 0 2 0 0 41 48 64 0.0912710311738245
+11 0 2 0 0 42 48 64 0.0256508186909056
+11 0 2 0 0 43 48 64 -0.0402047494937049
+11 0 2 0 0 44 48 64 -0.105814765113838
+11 0 2 0 0 45 48 64 -0.170922666701598
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 0.636324944526299
+12 0 2 0 0 28 48 64 0.628675343026474
+12 0 2 0 0 29 48 64 0.618960360684131
+12 0 2 0 0 30 48 64 0.595122249123747
+12 0 2 0 0 31 48 64 0.571927180083293
+12 0 2 0 0 32 48 64 0.536302930786077
+12 0 2 0 0 33 48 64 0.499494526516962
+12 0 2 0 0 34 48 64 0.454130538797766
+12 0 2 0 0 35 48 64 0.405481488220927
+12 0 2 0 0 36 48 64 0.351658267237628
+12 0 2 0 0 37 48 64 0.294229197326839
+12 0 2 0 0 38 48 64 0.233555787006129
+12 0 2 0 0 39 48 64 0.170223930310464
+12 0 2 0 0 40 48 64 0.105442160421705
+12 0 2 0 0 41 48 64 0.039531201328439
+12 0 2 0 0 42 48 64 -0.026301479926341
+12 0 2 0 0 43 48 64 -0.0918056487809362
+12 0 2 0 0 44 48 64 -0.156934857188829
+12 0 2 0 0 45 48 64 -0.220552488432741
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0.391396925751387
+12 0 1 0 0 20 48 64 0.487974820894167
+12 0 1 0 0 22 48 64 0.570631800016311
+12 0 1 0 0 24 48 64 0.611104769043014
+12 0 1 0 0 26 48 64 0.6366240759287
+12 0 1 0 0 28 48 64 0.628675343026474
+12 0 1 0 0 30 48 64 0.595122249123747
+12 0 1 0 0 32 48 64 0.536302930786077
+12 0 1 0 0 34 48 64 0.454130538797766
+12 0 1 0 0 36 48 64 0.351658267237628
+12 0 1 0 0 38 48 64 0.233555787006129
+12 0 1 0 0 40 48 64 0.105442160421705
+12 0 1 0 0 42 48 64 -0.026301479926341
+12 0 1 0 0 44 48 64 -0.156934857188829
+12 0 1 0 0 46 48 64 -0.281685036436353
+12 0 1 0 0 48 48 64 -0.392526319849238
+12 0 1 0 0 50 48 64 -0.483509581282904
+12 0 1 0 0 52 48 64 -0.561993316923433
+12 0 1 0 0 54 48 64 -0.612418707803274
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -0.600768398793927
+12 0 0 0 0 4 48 64 -0.460811012388645
+12 0 0 0 0 8 48 64 -0.241137210479794
+12 0 0 0 0 12 48 64 0.0202454540744
+12 0 0 0 0 16 48 64 0.278224107838708
+12 0 0 0 0 20 48 64 0.487974820894167
+12 0 0 0 0 24 48 64 0.611104769043014
+12 0 0 0 0 28 48 64 0.628675343026474
+12 0 0 0 0 32 48 64 0.536302930786077
+12 0 0 0 0 36 48 64 0.351658267237628
+12 0 0 0 0 40 48 64 0.105442160421705
+12 0 0 0 0 44 48 64 -0.156934857188829
+12 0 0 0 0 48 48 64 -0.392526319849238
+12 0 0 0 0 52 48 64 -0.561993316923433
+12 0 0 0 0 56 48 64 -0.637141484623479
+12 0 0 0 0 60 48 64 -0.600768398793927
+12 0 0 0 0 64 48 64 -0.460811012388645
+12 0 0 0 0 68 48 64 -0.241137210479794
+12 0 0 0 0 72 48 64 0.0202454540744
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 0.632010077454931
+13 0 2 0 0 28 48 64 0.618595039651473
+13 0 2 0 0 29 48 64 0.603898187142523
+13 0 2 0 0 30 48 64 0.574698276565232
+13 0 2 0 0 31 48 64 0.546779898569795
+13 0 2 0 0 32 48 64 0.506245901884982
+13 0 2 0 0 33 48 64 0.46552369214518
+13 0 2 0 0 34 48 64 0.415835726145361
+13 0 2 0 0 35 48 64 0.363893898140501
+13 0 2 0 0 36 48 64 0.306846999516293
+13 0 2 0 0 37 48 64 0.246869370974485
+13 0 2 0 0 38 48 64 0.184141342645286
+13 0 2 0 0 39 48 64 0.119338292191821
+13 0 2 0 0 40 48 64 0.0537256660721423
+13 0 2 0 0 41 48 64 -0.0124021770236127
+13 0 2 0 0 42 48 64 -0.0780646959265949
+13 0 2 0 0 43 48 64 -0.142793802789504
+13 0 2 0 0 44 48 64 -0.206662511365369
+13 0 2 0 0 45 48 64 -0.268319342742164
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 0.623401371431278
+14 0 2 0 0 28 48 64 0.604245611477673
+14 0 2 0 0 29 48 64 0.584813870278042
+14 0 2 0 0 30 48 64 0.550366429037226
+14 0 2 0 0 31 48 64 0.517909330179937
+14 0 2 0 0 32 48 64 0.472782517682753
+14 0 2 0 0 33 48 64 0.428408878498691
+14 0 2 0 0 34 48 64 0.374708220847661
+14 0 2 0 0 35 48 64 0.319882913562155
+14 0 2 0 0 36 48 64 0.259945639810918
+14 0 2 0 0 37 48 64 0.197860722301568
+14 0 2 0 0 38 48 64 0.133505822766152
+14 0 2 0 0 39 48 64 0.0677125511877773
+14 0 2 0 0 40 48 64 0.00171148802469069
+14 0 2 0 0 41 48 64 -0.0641971045540408
+14 0 2 0 0 42 48 64 -0.129295218791797
+14 0 2 0 0 43 48 64 -0.192820843948804
+14 0 2 0 0 44 48 64 -0.255341755974721
+14 0 2 0 0 45 48 64 -0.31457860970983
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0.466774302531391
+14 0 1 0 0 20 48 64 0.546970017442211
+14 0 1 0 0 22 48 64 0.612208958514015
+14 0 1 0 0 24 48 64 0.629886344943028
+14 0 1 0 0 26 48 64 0.635195272095683
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+14 0 1 0 0 30 48 64 0.550366429037226
+14 0 1 0 0 32 48 64 0.472782517682753
+14 0 1 0 0 34 48 64 0.374708220847661
+14 0 1 0 0 36 48 64 0.259945639810918
+14 0 1 0 0 38 48 64 0.133505822766152
+14 0 1 0 0 40 48 64 0.00171148802469069
+14 0 1 0 0 42 48 64 -0.129295218791797
+14 0 1 0 0 44 48 64 -0.255341755974721
+14 0 1 0 0 46 48 64 -0.37023673627477
+14 0 1 0 0 48 48 64 -0.467730752217817
+14 0 1 0 0 50 48 64 -0.54260518474101
+14 0 1 0 0 52 48 64 -0.602991317616119
+14 0 1 0 0 54 48 64 -0.633087948771736
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 0.610652050833014
+15 0 2 0 0 28 48 64 0.585859431894837
+15 0 2 0 0 29 48 64 0.561833518679241
+15 0 2 0 0 30 48 64 0.522277626070751
+15 0 2 0 0 31 48 64 0.485525489719229
+15 0 2 0 0 32 48 64 0.436138923534539
+15 0 2 0 0 33 48 64 0.388381451556427
+15 0 2 0 0 34 48 64 0.331031041806566
+15 0 2 0 0 35 48 64 0.273743743762132
+15 0 2 0 0 36 48 64 0.211269641245549
+15 0 2 0 0 37 48 64 0.147549161007142
+15 0 2 0 0 38 48 64 0.0820005669589072
+15 0 2 0 0 39 48 64 0.0157091126424057
+15 0 2 0 0 40 48 64 -0.0502549908832164
+15 0 2 0 0 41 48 64 -0.115521027649002
+15 0 2 0 0 42 48 64 -0.179670222654115
+15 0 2 0 0 43 48 64 -0.241546483858453
+15 0 2 0 0 44 48 64 -0.301962232207357
+15 0 2 0 0 45 48 64 -0.358360747329471
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 0.593679983124497
+16 0 2 0 0 28 48 64 0.563359043106377
+16 0 2 0 0 29 48 64 0.535116828347324
+16 0 2 0 0 30 48 64 0.490616796646616
+16 0 2 0 0 31 48 64 0.449866986271758
+16 0 2 0 0 32 48 64 0.396557533136505
+16 0 2 0 0 33 48 64 0.345695608829203
+16 0 2 0 0 34 48 64 0.285106857117024
+16 0 2 0 0 35 48 64 0.225782593515193
+16 0 2 0 0 36 48 64 0.161149945420153
+16 0 2 0 0 37 48 64 0.0962926759536991
+16 0 2 0 0 38 48 64 0.0299816390777281
+16 0 2 0 0 39 48 64 -0.0363122359411705
+16 0 2 0 0 40 48 64 -0.1018349077744
+16 0 2 0 0 41 48 64 -0.166048372853894
+16 0 2 0 0 42 48 64 -0.228846202057964
+16 0 2 0 0 43 48 64 -0.288627850028269
+16 0 2 0 0 44 48 64 -0.34686072633312
+16 0 2 0 0 45 48 64 -0.399996753033512
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0.531638876074628
+16 0 1 0 0 20 48 64 0.59293595145488
+16 0 1 0 0 22 48 64 0.637152972171547
+16 0 1 0 0 24 48 64 0.631578578547155
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+16 0 1 0 0 32 48 64 0.396557533136505
+16 0 1 0 0 34 48 64 0.285106857117024
+16 0 1 0 0 36 48 64 0.161149945420153
+16 0 1 0 0 38 48 64 0.0299816390777281
+16 0 1 0 0 40 48 64 -0.1018349077744
+16 0 1 0 0 42 48 64 -0.228846202057964
+16 0 1 0 0 44 48 64 -0.34686072633312
+16 0 1 0 0 46 48 64 -0.448590826956242
+16 0 1 0 0 48 48 64 -0.530387210762682
+16 0 1 0 0 50 48 64 -0.587549879878981
+16 0 1 0 0 52 48 64 -0.629462390937985
+16 0 1 0 0 54 48 64 -0.637809096366296
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -0.500259662214564
+16 0 0 0 0 4 48 64 -0.295572052456995
+16 0 0 0 0 8 48 64 -0.0396132748656795
+16 0 0 0 0 12 48 64 0.223203594768137
+16 0 0 0 0 16 48 64 0.447489157329628
+16 0 0 0 0 20 48 64 0.59293595145488
+16 0 0 0 0 24 48 64 0.631578578547155
+16 0 0 0 0 28 48 64 0.563359043106377
+16 0 0 0 0 32 48 64 0.396557533136505
+16 0 0 0 0 36 48 64 0.161149945420153
+16 0 0 0 0 40 48 64 -0.1018349077744
+16 0 0 0 0 44 48 64 -0.34686072633312
+16 0 0 0 0 48 48 64 -0.530387210762682
+16 0 0 0 0 52 48 64 -0.629462390937985
+16 0 0 0 0 56 48 64 -0.619123738384079
+16 0 0 0 0 60 48 64 -0.500259662214564
+16 0 0 0 0 64 48 64 -0.295572052456995
+16 0 0 0 0 68 48 64 -0.0396132748656795
+16 0 0 0 0 72 48 64 0.223203594768137
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 0.57280876980627
+17 0 2 0 0 28 48 64 0.537130678541673
+17 0 2 0 0 29 48 64 0.504837679738059
+17 0 2 0 0 30 48 64 0.455589695853013
+17 0 2 0 0 31 48 64 0.411194252368365
+17 0 2 0 0 32 48 64 0.354296179130201
+17 0 2 0 0 33 48 64 0.300629827436657
+17 0 2 0 0 34 48 64 0.23725491712634
+17 0 2 0 0 35 48 64 0.176315433342237
+17 0 2 0 0 36 48 64 0.109931662990679
+17 0 2 0 0 37 48 64 0.0444569241207062
+17 0 2 0 0 38 48 64 -0.022194215063768
+17 0 2 0 0 39 48 64 -0.08799812161367
+17 0 2 0 0 40 48 64 -0.152696746727093
+17 0 2 0 0 41 48 64 -0.215451016068538
+17 0 2 0 0 42 48 64 -0.276502067393265
+17 0 2 0 0 43 48 64 -0.333740674948586
+17 0 2 0 0 44 48 64 -0.389088159343108
+17 0 2 0 0 45 48 64 -0.438605425891383
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 0.547878700322903
+18 0 2 0 0 28 48 64 0.507045593724263
+18 0 2 0 0 29 48 64 0.471203699676383
+18 0 2 0 0 30 48 64 0.417436275059436
+18 0 2 0 0 31 48 64 0.369787330365473
+18 0 2 0 0 32 48 64 0.309627941754117
+18 0 2 0 0 33 48 64 0.253487212219433
+18 0 2 0 0 34 48 64 0.18780765847886
+18 0 2 0 0 35 48 64 0.125667538508018
+18 0 2 0 0 36 48 64 0.0579720073070356
+18 0 2 0 0 37 48 64 -0.00759005080479268
+18 0 2 0 0 38 48 64 -0.0741733685673566
+18 0 2 0 0 39 48 64 -0.139004157148443
+18 0 2 0 0 40 48 64 -0.202516308954455
+18 0 2 0 0 41 48 64 -0.263406741170151
+18 0 2 0 0 42 48 64 -0.322302305040265
+18 0 2 0 0 43 48 64 -0.376564946462355
+18 0 2 0 0 44 48 64 -0.428960890906954
+18 0 2 0 0 45 48 64 -0.474493574429816
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0.580642612839312
+18 0 1 0 0 20 48 64 0.621484669932099
+18 0 1 0 0 22 48 64 0.644663227554631
+18 0 1 0 0 24 48 64 0.616231375997801
+18 0 1 0 0 26 48 64 0.581896739484881
+18 0 1 0 0 28 48 64 0.507045593724263
+18 0 1 0 0 30 48 64 0.417436275059436
+18 0 1 0 0 32 48 64 0.309627941754117
+18 0 1 0 0 34 48 64 0.18780765847886
+18 0 1 0 0 36 48 64 0.0579720073070356
+18 0 1 0 0 38 48 64 -0.0741733685673566
+18 0 1 0 0 40 48 64 -0.202516308954455
+18 0 1 0 0 42 48 64 -0.322302305040265
+18 0 1 0 0 44 48 64 -0.428960890906954
+18 0 1 0 0 46 48 64 -0.514712829470309
+18 0 1 0 0 48 48 64 -0.579018909287172
+18 0 1 0 0 50 48 64 -0.617324064415187
+18 0 1 0 0 52 48 64 -0.638839998040339
+18 0 1 0 0 54 48 64 -0.625692177049446
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 0.519399841480367
+19 0 2 0 0 28 48 64 0.473643829538867
+19 0 2 0 0 29 48 64 0.434438285569518
+19 0 2 0 0 30 48 64 0.376409349641492
+19 0 2 0 0 31 48 64 0.32593868682846
+19 0 2 0 0 32 48 64 0.262841460771339
+19 0 2 0 0 33 48 64 0.204594547637326
+19 0 2 0 0 34 48 64 0.137107254663402
+19 0 2 0 0 35 48 64 0.074173553104729
+19 0 2 0 0 36 48 64 0.00563725261128618
+19 0 2 0 0 37 48 64 -0.0594835572367437
+19 0 2 0 0 38 48 64 -0.125608503350086
+19 0 2 0 0 39 48 64 -0.18899680237659
+19 0 2 0 0 40 48 64 -0.250976495279037
+19 0 2 0 0 41 48 64 -0.309592303793746
+19 0 2 0 0 42 48 64 -0.365938770211918
+19 0 2 0 0 43 48 64 -0.416809419991196
+19 0 2 0 0 44 48 64 -0.46563569906987
+19 0 2 0 0 45 48 64 -0.506909215123702
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 0.487117561920495
+20 0 2 0 0 28 48 64 0.436745372357245
+20 0 2 0 0 29 48 64 0.394796369153486
+20 0 2 0 0 30 48 64 0.332793264028232
+20 0 2 0 0 31 48 64 0.279954359482625
+20 0 2 0 0 32 48 64 0.214241148858735
+20 0 2 0 0 33 48 64 0.154299714900351
+20 0 2 0 0 34 48 64 0.0855023397672424
+20 0 2 0 0 35 48 64 0.0221776519975054
+20 0 2 0 0 36 48 64 -0.0467013601747625
+20 0 2 0 0 37 48 64 -0.110867880585332
+20 0 2 0 0 38 48 64 -0.176161013051275
+20 0 2 0 0 39 48 64 -0.237654203210091
+20 0 2 0 0 40 48 64 -0.297767017103527
+20 0 2 0 0 41 48 64 -0.35369342141193
+20 0 2 0 0 42 48 64 -0.407099375228689
+20 0 2 0 0 43 48 64 -0.45419258045396
+20 0 2 0 0 44 48 64 -0.499393657816785
+20 0 2 0 0 45 48 64 -0.536119926837706
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0.615258994675805
+20 0 1 0 0 20 48 64 0.634078823873893
+20 0 1 0 0 22 48 64 0.634622619715491
+20 0 1 0 0 24 48 64 0.584254397550866
+20 0 1 0 0 26 48 64 0.531259229203141
+20 0 1 0 0 28 48 64 0.436745372357245
+20 0 1 0 0 30 48 64 0.332793264028232
+20 0 1 0 0 32 48 64 0.214241148858735
+20 0 1 0 0 34 48 64 0.0855023397672424
+20 0 1 0 0 36 48 64 -0.0467013601747625
+20 0 1 0 0 38 48 64 -0.176161013051275
+20 0 1 0 0 40 48 64 -0.297767017103527
+20 0 1 0 0 42 48 64 -0.407099375228689
+20 0 1 0 0 44 48 64 -0.499393657816785
+20 0 1 0 0 46 48 64 -0.566978190577507
+20 0 1 0 0 48 48 64 -0.612480737340643
+20 0 1 0 0 50 48 64 -0.631087706658271
+20 0 1 0 0 52 48 64 -0.631979651872747
+20 0 1 0 0 54 48 64 -0.596828071085002
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -0.346990423109404
+20 0 0 0 0 4 48 64 -0.0990291511949936
+20 0 0 0 0 8 48 64 0.166426312108815
+20 0 0 0 0 12 48 64 0.402977776273659
+20 0 0 0 0 16 48 64 0.569682024116209
+20 0 0 0 0 20 48 64 0.634078823873893
+20 0 0 0 0 24 48 64 0.584254397550866
+20 0 0 0 0 28 48 64 0.436745372357245
+20 0 0 0 0 32 48 64 0.214241148858735
+20 0 0 0 0 36 48 64 -0.0467013601747625
+20 0 0 0 0 40 48 64 -0.297767017103527
+20 0 0 0 0 44 48 64 -0.499393657816785
+20 0 0 0 0 48 48 64 -0.612480737340643
+20 0 0 0 0 52 48 64 -0.631979651872747
+20 0 0 0 0 56 48 64 -0.535916682093567
+20 0 0 0 0 60 48 64 -0.346990423109404
+20 0 0 0 0 64 48 64 -0.0990291511949936
+20 0 0 0 0 68 48 64 0.166426312108815
+20 0 0 0 0 72 48 64 0.402977776273659
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 0.451748518579474
+21 0 2 0 0 28 48 64 0.397042144271505
+21 0 2 0 0 29 48 64 0.352547193513141
+21 0 2 0 0 30 48 64 0.286875807067109
+21 0 2 0 0 31 48 64 0.232147658179273
+21 0 2 0 0 32 48 64 0.164147034903423
+21 0 2 0 0 33 48 64 0.10296785614638
+21 0 2 0 0 34 48 64 0.0333450863995681
+21 0 2 0 0 35 48 64 -0.0299667329883256
+21 0 2 0 0 36 48 64 -0.0986726523738491
+21 0 2 0 0 37 48 64 -0.161401150157179
+21 0 2 0 0 38 48 64 -0.225502496907958
+21 0 2 0 0 39 48 64 -0.284666653125526
+21 0 2 0 0 40 48 64 -0.342584658596902
+21 0 2 0 0 41 48 64 -0.395400616019616
+21 0 2 0 0 42 48 64 -0.445505260085937
+21 0 2 0 0 43 48 64 -0.488468990601671
+21 0 2 0 0 44 48 64 -0.529535139649887
+21 0 2 0 0 45 48 64 -0.561523941538042
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 0.41293044190024
+22 0 2 0 0 28 48 64 0.354303504584276
+22 0 2 0 0 29 48 64 0.307985181304401
+22 0 2 0 0 30 48 64 0.23897353569758
+22 0 2 0 0 31 48 64 0.182843662713924
+22 0 2 0 0 32 48 64 0.112893813303211
+22 0 2 0 0 33 48 64 0.0509762900833298
+22 0 2 0 0 34 48 64 -0.0190113200144317
+22 0 2 0 0 35 48 64 -0.0818981519242918
+22 0 2 0 0 36 48 64 -0.149911142137151
+22 0 2 0 0 37 48 64 -0.210758816193874
+22 0 2 0 0 38 48 64 -0.27331545264464
+22 0 2 0 0 39 48 64 -0.329736447042306
+22 0 2 0 0 40 48 64 -0.385133946678812
+22 0 2 0 0 41 48 64 -0.434419719478681
+22 0 2 0 0 42 48 64 -0.480884895870209
+22 0 2 0 0 43 48 64 -0.519406113897492
+22 0 2 0 0 44 48 64 -0.556293353735113
+22 0 2 0 0 45 48 64 -0.583337659334616
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 0.632465561016379
+22 0 1 0 0 20 48 64 0.628979026143002
+22 0 1 0 0 22 48 64 0.607227503933747
+22 0 1 0 0 24 48 64 0.536534266260751
+22 0 1 0 0 26 48 64 0.466129493312181
+22 0 1 0 0 28 48 64 0.354303504584276
+22 0 1 0 0 30 48 64 0.23897353569758
+22 0 1 0 0 32 48 64 0.112893813303211
+22 0 1 0 0 34 48 64 -0.0190113200144317
+22 0 1 0 0 36 48 64 -0.149911142137151
+22 0 1 0 0 38 48 64 -0.27331545264464
+22 0 1 0 0 40 48 64 -0.385133946678812
+22 0 1 0 0 42 48 64 -0.480884895870209
+22 0 1 0 0 44 48 64 -0.556293353735113
+22 0 1 0 0 46 48 64 -0.60417367695848
+22 0 1 0 0 48 48 64 -0.630028505523031
+22 0 1 0 0 50 48 64 -0.628544900321218
+22 0 1 0 0 52 48 64 -0.608695333338602
+22 0 1 0 0 54 48 64 -0.553009903623264
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 0.371582659093864
+23 0 2 0 0 28 48 64 0.309359633756838
+23 0 2 0 0 29 48 64 0.261414794069652
+23 0 2 0 0 30 48 64 0.189398291838572
+23 0 2 0 0 31 48 64 0.132372924671357
+23 0 2 0 0 32 48 64 0.0608290445831618
+23 0 2 0 0 33 48 64 -0.00129108324319935
+23 0 2 0 0 34 48 64 -0.0712148259370554
+23 0 2 0 0 35 48 64 -0.133249749434109
+23 0 2 0 0 36 48 64 -0.200062770889001
+23 0 2 0 0 37 48 64 -0.258635219368492
+23 0 2 0 0 38 48 64 -0.319293322490498
+23 0 2 0 0 39 48 64 -0.372577676352137
+23 0 2 0 0 40 48 64 -0.425128637191649
+23 0 2 0 0 41 48 64 -0.470469859174163
+23 0 2 0 0 42 48 64 -0.513003755739642
+23 0 2 0 0 43 48 64 -0.546811141937519
+23 0 2 0 0 44 48 64 -0.579133509433772
+23 0 2 0 0 45 48 64 -0.601129209486232
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 0.327234146704591
+24 0 2 0 0 28 48 64 0.261933804968766
+24 0 2 0 0 29 48 64 0.213156557324983
+24 0 2 0 0 30 48 64 0.138489305407164
+24 0 2 0 0 31 48 64 0.0810776329660576
+24 0 2 0 0 32 48 64 0.00831040253642024
+24 0 2 0 0 33 48 64 -0.0534498436954148
+24 0 2 0 0 34 48 64 -0.122916418722234
+24 0 2 0 0 35 48 64 -0.183653430536456
+24 0 2 0 0 36 48 64 -0.248790078811333
+24 0 2 0 0 37 48 64 -0.304742945220641
+24 0 2 0 0 38 48 64 -0.36314021329459
+24 0 2 0 0 39 48 64 -0.412915818536878
+24 0 2 0 0 40 48 64 -0.462293674349265
+24 0 2 0 0 41 48 64 -0.503293481249763
+24 0 2 0 0 42 48 64 -0.541643668811888
+24 0 2 0 0 43 48 64 -0.570505382591704
+24 0 2 0 0 44 48 64 -0.598233870292096
+24 0 2 0 0 45 48 64 -0.615053460169217
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 0.633019643069239
+24 0 1 0 0 20 48 64 0.606765072451846
+24 0 1 0 0 22 48 64 0.563343513843962
+24 0 1 0 0 24 48 64 0.474322355625836
+24 0 1 0 0 26 48 64 0.388118304456474
+24 0 1 0 0 28 48 64 0.261933804968766
+24 0 1 0 0 30 48 64 0.138489305407164
+24 0 1 0 0 32 48 64 0.00831040253642024
+24 0 1 0 0 34 48 64 -0.122916418722234
+24 0 1 0 0 36 48 64 -0.248790078811333
+24 0 1 0 0 38 48 64 -0.36314021329459
+24 0 1 0 0 40 48 64 -0.462293674349265
+24 0 1 0 0 42 48 64 -0.541643668811888
+24 0 1 0 0 44 48 64 -0.598233870292096
+24 0 1 0 0 46 48 64 -0.625512998220374
+24 0 1 0 0 48 48 64 -0.631296572979177
+24 0 1 0 0 50 48 64 -0.609616072683049
+24 0 1 0 0 52 48 64 -0.569049048803441
+24 0 1 0 0 54 48 64 -0.493381685067051
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -0.157045364880277
+24 0 0 0 0 4 48 64 0.108220298915116
+24 0 0 0 0 8 48 64 0.355308232251184
+24 0 0 0 0 12 48 64 0.540412989478295
+24 0 0 0 0 16 48 64 0.631494341227216
+24 0 0 0 0 20 48 64 0.606765072451846
+24 0 0 0 0 24 48 64 0.474322355625836
+24 0 0 0 0 28 48 64 0.261933804968766
+24 0 0 0 0 32 48 64 0.00831040253642024
+24 0 0 0 0 36 48 64 -0.248790078811333
+24 0 0 0 0 40 48 64 -0.462293674349265
+24 0 0 0 0 44 48 64 -0.598233870292096
+24 0 0 0 0 48 48 64 -0.631296572979177
+24 0 0 0 0 52 48 64 -0.569049048803441
+24 0 0 0 0 56 48 64 -0.395909862016148
+24 0 0 0 0 60 48 64 -0.157045364880277
+24 0 0 0 0 64 48 64 0.108220298915116
+24 0 0 0 0 68 48 64 0.355308232251184
+24 0 0 0 0 72 48 64 0.540412989478295
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.yl
new file mode 100644
index 000000000..ad9c0d698
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.yl
@@ -0,0 +1,1397 @@
+# HYDROTOY::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0.50990135853555
+0 0 2 0 0 36 40 64 0.53583288072473
+0 0 2 0 0 36 41 64 0.559033921377622
+0 0 2 0 0 36 42 64 0.579386253309212
+0 0 2 0 0 36 43 64 0.596786165701149
+0 0 2 0 0 36 44 64 0.611144992588301
+0 0 2 0 0 36 45 64 0.622389564680188
+0 0 2 0 0 36 46 64 0.630462582214916
+0 0 2 0 0 36 47 64 0.635322906945629
+0 0 2 0 0 36 48 64 0.636945771771587
+0 0 2 0 0 36 49 64 0.635322906945629
+0 0 2 0 0 36 50 64 0.630462582214916
+0 0 2 0 0 36 51 64 0.622389564680188
+0 0 2 0 0 36 52 64 0.611144992588301
+0 0 2 0 0 36 53 64 0.596786165701149
+0 0 2 0 0 36 54 64 0.579386253309212
+0 0 2 0 0 36 55 64 0.559033921377622
+0 0 2 0 0 36 56 64 0.53583288072473
+0 0 2 0 0 36 57 64 0.50990135853555
+0 0 2 0 0 36 58 64 0.48137149590312
+0 0 2 0 0 36 59 64 0.450388674467787
+0 0 2 0 0 36 60 64 0.417110775585686
+0 0 2 0 0 36 61 64 0.381707375801544
+0 0 2 0 0 36 62 64 0.344358882725476
+0 0 2 0 0 36 63 64 0.305255615717156
+0 0 2 0 0 36 64 64 0.264596836061988
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 -2.93103742532793e-15
+0 0 1 0 0 36 28 64 0.0906468344985235
+0 0 1 0 0 36 30 64 0.179448360850545
+0 0 1 0 0 36 32 64 0.264596836061988
+0 0 1 0 0 36 34 64 0.344358882725476
+0 0 1 0 0 36 36 64 0.417110775585686
+0 0 1 0 0 36 38 64 0.481371495903121
+0 0 1 0 0 36 40 64 0.53583288072473
+0 0 1 0 0 36 42 64 0.579386253309212
+0 0 1 0 0 36 44 64 0.611144992588301
+0 0 1 0 0 36 46 64 0.630462582214916
+0 0 1 0 0 36 48 64 0.636945771771587
+0 0 1 0 0 36 50 64 0.630462582214916
+0 0 1 0 0 36 52 64 0.611144992588301
+0 0 1 0 0 36 54 64 0.579386253309212
+0 0 1 0 0 36 56 64 0.53583288072473
+0 0 1 0 0 36 58 64 0.48137149590312
+0 0 1 0 0 36 60 64 0.417110775585686
+0 0 1 0 0 36 62 64 0.344358882725476
+0 0 1 0 0 36 64 64 0.264596836061988
+0 0 1 0 0 36 66 64 0.179448360850545
+0 0 1 0 0 36 68 64 0.0906468344985234
+0 0 1 0 0 36 70 64 -3.07246779757962e-15
+0 0 1 0 0 36 72 64 -0.0906468344985296
+0 0 1 0 0 36 74 64 -0.17944836085055
+0 0 1 0 0 36 76 64 -0.264596836061994
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -0.611144992588299
+0 0 0 0 0 36 4 64 -0.636945771771587
+0 0 0 0 0 36 8 64 -0.611144992588303
+0 0 0 0 0 36 12 64 -0.535832880724733
+0 0 0 0 0 36 16 64 -0.417110775585691
+0 0 0 0 0 36 20 64 -0.264596836061994
+0 0 0 0 0 36 24 64 -0.0906468344985295
+0 0 0 0 0 36 28 64 0.0906468344985235
+0 0 0 0 0 36 32 64 0.264596836061988
+0 0 0 0 0 36 36 64 0.417110775585686
+0 0 0 0 0 36 40 64 0.53583288072473
+0 0 0 0 0 36 44 64 0.611144992588301
+0 0 0 0 0 36 48 64 0.636945771771587
+0 0 0 0 0 36 52 64 0.611144992588301
+0 0 0 0 0 36 56 64 0.53583288072473
+0 0 0 0 0 36 60 64 0.417110775585686
+0 0 0 0 0 36 64 64 0.264596836061988
+0 0 0 0 0 36 68 64 0.0906468344985234
+0 0 0 0 0 36 72 64 -0.0906468344985296
+0 0 0 0 0 36 76 64 -0.264596836061994
+0 0 0 0 0 36 80 64 -0.417110775585691
+0 0 0 0 0 36 84 64 -0.535832880724734
+0 0 0 0 0 36 88 64 -0.611144992588303
+0 0 0 0 0 36 92 64 -0.636945771771587
+0 0 0 0 0 36 96 64 -0.611144992588299
+0 0 0 0 0 36 100 64 -0.535832880724727
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 0.539378137384722
+1 0 2 0 0 36 40 64 0.562179038367364
+1 0 2 0 0 36 41 64 0.582199185263878
+1 0 2 0 0 36 42 64 0.599146755523157
+1 0 2 0 0 36 43 64 0.613041211253013
+1 0 2 0 0 36 44 64 0.62381174949194
+1 0 2 0 0 36 45 64 0.631403486045903
+1 0 2 0 0 36 46 64 0.635777735165602
+1 0 2 0 0 36 47 64 0.636912206680193
+1 0 2 0 0 36 48 64 0.63480111958288
+1 0 2 0 0 36 49 64 0.629455231489608
+1 0 2 0 0 36 50 64 0.620901783820711
+1 0 2 0 0 36 51 64 0.609184362984886
+1 0 2 0 0 36 52 64 0.594362678272839
+1 0 2 0 0 36 53 64 0.576512257592428
+1 0 2 0 0 36 54 64 0.555724062595757
+1 0 2 0 0 36 55 64 0.53210402515945
+1 0 2 0 0 36 56 64 0.505772507580086
+1 0 2 0 0 36 57 64 0.476863689235523
+1 0 2 0 0 36 58 64 0.445524882837553
+1 0 2 0 0 36 59 64 0.411915783760082
+1 0 2 0 0 36 60 64 0.376207656268115
+1 0 2 0 0 36 61 64 0.338582460794316
+1 0 2 0 0 36 62 64 0.299231926710351
+1 0 2 0 0 36 63 64 0.258589850269154
+1 0 2 0 0 36 64 64 0.216406253689122
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 0.565398002435612
+2 0 2 0 0 36 40 64 0.584893751491865
+2 0 2 0 0 36 41 64 0.60144151536923
+2 0 2 0 0 36 42 64 0.614864671252107
+2 0 2 0 0 36 43 64 0.625161142514521
+2 0 2 0 0 36 44 64 0.632270703059781
+2 0 2 0 0 36 45 64 0.636158357031659
+2 0 2 0 0 36 46 64 0.636804293836645
+2 0 2 0 0 36 47 64 0.634205221928842
+2 0 2 0 0 36 48 64 0.628374385582933
+2 0 2 0 0 36 49 64 0.619341497404389
+2 0 2 0 0 36 50 64 0.607152586920843
+2 0 2 0 0 36 51 64 0.591869766026173
+2 0 2 0 0 36 52 64 0.573570912472522
+2 0 2 0 0 36 53 64 0.552349273023126
+2 0 2 0 0 36 54 64 0.528312988288184
+2 0 2 0 0 36 55 64 0.501584541665097
+2 0 2 0 0 36 56 64 0.472300135191147
+2 0 2 0 0 36 57 64 0.44060899548914
+2 0 2 0 0 36 58 64 0.406672613342738
+2 0 2 0 0 36 59 64 0.370663920776444
+2 0 2 0 0 36 60 64 0.332766409833644
+2 0 2 0 0 36 61 64 0.293175756904635
+2 0 2 0 0 36 62 64 0.252095158941335
+2 0 2 0 0 36 63 64 0.209945081525125
+2 0 2 0 0 36 64 64 0.166508567416923
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 0.101958040479921
+2 0 1 0 0 36 28 64 0.19045190926366
+2 0 1 0 0 36 30 64 0.276801468550228
+2 0 1 0 0 36 32 64 0.355631693593013
+2 0 1 0 0 36 34 64 0.42722228291136
+2 0 1 0 0 36 36 64 0.490115858556959
+2 0 1 0 0 36 38 64 0.543032088699761
+2 0 1 0 0 36 40 64 0.584893751491865
+2 0 1 0 0 36 42 64 0.614864671252107
+2 0 1 0 0 36 44 64 0.632270703059781
+2 0 1 0 0 36 46 64 0.636804293836645
+2 0 1 0 0 36 48 64 0.628374385582933
+2 0 1 0 0 36 50 64 0.607152586920843
+2 0 1 0 0 36 52 64 0.573570912472522
+2 0 1 0 0 36 54 64 0.528312988288184
+2 0 1 0 0 36 56 64 0.472300135191147
+2 0 1 0 0 36 58 64 0.406672613342738
+2 0 1 0 0 36 60 64 0.332766409833644
+2 0 1 0 0 36 62 64 0.252095158941335
+2 0 1 0 0 36 64 64 0.166508567416923
+2 0 1 0 0 36 66 64 0.0773116620782785
+2 0 1 0 0 36 68 64 -0.0134590857518569
+2 0 1 0 0 36 70 64 -0.103955845408883
+2 0 1 0 0 36 72 64 -0.192336363837286
+2 0 1 0 0 36 74 64 -0.275010333503837
+2 0 1 0 0 36 76 64 -0.354054672129119
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0.587462116960227
+3 0 2 0 0 36 40 64 0.603541326410646
+3 0 2 0 0 36 41 64 0.616631672885353
+3 0 2 0 0 36 42 64 0.626432433484778
+3 0 2 0 0 36 43 64 0.633064413651825
+3 0 2 0 0 36 44 64 0.636464696504605
+3 0 2 0 0 36 45 64 0.636622049355199
+3 0 2 0 0 36 46 64 0.633535283643025
+3 0 2 0 0 36 47 64 0.627220167344685
+3 0 2 0 0 36 48 64 0.617708880845281
+3 0 2 0 0 36 49 64 0.605049891480632
+3 0 2 0 0 36 50 64 0.589307706558841
+3 0 2 0 0 36 51 64 0.570562544645838
+3 0 2 0 0 36 52 64 0.548909926789954
+3 0 2 0 0 36 53 64 0.524460189768562
+3 0 2 0 0 36 54 64 0.497337923837139
+3 0 2 0 0 36 55 64 0.467681337845893
+3 0 2 0 0 36 56 64 0.435641554959138
+3 0 2 0 0 36 57 64 0.40138184256629
+3 0 2 0 0 36 58 64 0.365076780308672
+3 0 2 0 0 36 59 64 0.326911450441731
+3 0 2 0 0 36 60 64 0.287080653705414
+3 0 2 0 0 36 61 64 0.245799002149099
+3 0 2 0 0 36 62 64 0.203265136979522
+3 0 2 0 0 36 63 64 0.160052956823864
+3 0 2 0 0 36 64 64 0.11577891465481
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0.605737107086903
+4 0 2 0 0 36 40 64 0.618266994352901
+4 0 2 0 0 36 41 64 0.627665055153521
+4 0 2 0 0 36 42 64 0.633771152144637
+4 0 2 0 0 36 43 64 0.63669815557565
+4 0 2 0 0 36 44 64 0.636365165213341
+4 0 2 0 0 36 45 64 0.632791398915848
+4 0 2 0 0 36 46 64 0.625992709893389
+4 0 2 0 0 36 47 64 0.616004120902327
+4 0 2 0 0 36 48 64 0.602876514907985
+4 0 2 0 0 36 49 64 0.586676788385331
+4 0 2 0 0 36 50 64 0.567487491427417
+4 0 2 0 0 36 51 64 0.545406408292959
+4 0 2 0 0 36 52 64 0.520546059120174
+4 0 2 0 0 36 53 64 0.493033126549944
+4 0 2 0 0 36 54 64 0.463007810180118
+4 0 2 0 0 36 55 64 0.4306231121405
+4 0 2 0 0 36 56 64 0.396044057429062
+4 0 2 0 0 36 57 64 0.359446855481761
+4 0 2 0 0 36 58 64 0.321018015768317
+4 0 2 0 0 36 59 64 0.280954104881963
+4 0 2 0 0 36 60 64 0.239459617669995
+4 0 2 0 0 36 61 64 0.196776087767296
+4 0 2 0 0 36 62 64 0.153077116399109
+4 0 2 0 0 36 63 64 0.108889333629815
+4 0 2 0 0 36 64 64 0.0639255829329775
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0.203336824400688
+4 0 1 0 0 36 28 64 0.287310844989877
+4 0 1 0 0 36 30 64 0.366814710346517
+4 0 1 0 0 36 32 64 0.437116971964769
+4 0 1 0 0 36 34 64 0.49863426960122
+4 0 1 0 0 36 36 64 0.54998022255102
+4 0 1 0 0 36 38 64 0.590130164181673
+4 0 1 0 0 36 40 64 0.618266994352901
+4 0 1 0 0 36 42 64 0.633771152144637
+4 0 1 0 0 36 44 64 0.636365165213341
+4 0 1 0 0 36 46 64 0.625992709893389
+4 0 1 0 0 36 48 64 0.602876514907985
+4 0 1 0 0 36 50 64 0.567487491427417
+4 0 1 0 0 36 52 64 0.520546059120174
+4 0 1 0 0 36 54 64 0.463007810180118
+4 0 1 0 0 36 56 64 0.396044057429062
+4 0 1 0 0 36 58 64 0.321018015768317
+4 0 1 0 0 36 60 64 0.239459617669995
+4 0 1 0 0 36 62 64 0.153077116399109
+4 0 1 0 0 36 64 64 0.0639255829329775
+4 0 1 0 0 36 66 64 -0.0269158286163637
+4 0 1 0 0 36 68 64 -0.117220277357043
+4 0 1 0 0 36 70 64 -0.205118972117534
+4 0 1 0 0 36 72 64 -0.288811734351734
+4 0 1 0 0 36 74 64 -0.365347955302905
+4 0 1 0 0 36 76 64 -0.436059668496852
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 -0.637195713383579
+4 0 0 0 0 36 4 64 -0.604381951846523
+4 0 0 0 0 36 8 64 -0.522604758968737
+4 0 0 0 0 36 12 64 -0.398489236569475
+4 0 0 0 0 36 16 64 -0.242090486130096
+4 0 0 0 0 36 20 64 -0.0660790042720144
+4 0 0 0 0 36 24 64 0.115285805525215
+4 0 0 0 0 36 28 64 0.287310844989877
+4 0 0 0 0 36 32 64 0.437116971964769
+4 0 0 0 0 36 36 64 0.54998022255102
+4 0 0 0 0 36 40 64 0.618266994352901
+4 0 0 0 0 36 44 64 0.636365165213341
+4 0 0 0 0 36 48 64 0.602876514907985
+4 0 0 0 0 36 52 64 0.520546059120174
+4 0 0 0 0 36 56 64 0.396044057429062
+4 0 0 0 0 36 60 64 0.239459617669995
+4 0 0 0 0 36 64 64 0.0639255829329775
+4 0 0 0 0 36 68 64 -0.117220277357043
+4 0 0 0 0 36 72 64 -0.288811734351734
+4 0 0 0 0 36 76 64 -0.436059668496852
+4 0 0 0 0 36 80 64 -0.54948153100891
+4 0 0 0 0 36 84 64 -0.618387667771118
+4 0 0 0 0 36 88 64 -0.637195713383579
+4 0 0 0 0 36 92 64 -0.604381951846523
+4 0 0 0 0 36 96 64 -0.522604758968737
+4 0 0 0 0 36 100 64 -0.398489236569475
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0.619815886877807
+5 0 2 0 0 36 40 64 0.628733178451717
+5 0 2 0 0 36 41 64 0.634468108110349
+5 0 2 0 0 36 42 64 0.636832586997563
+5 0 2 0 0 36 43 64 0.63603840841541
+5 0 2 0 0 36 44 64 0.631972289690598
+5 0 2 0 0 36 45 64 0.624692246671273
+5 0 2 0 0 36 46 64 0.614227386477732
+5 0 2 0 0 36 47 64 0.600632696295091
+5 0 2 0 0 36 48 64 0.583977300176662
+5 0 2 0 0 36 49 64 0.564346090139355
+5 0 2 0 0 36 50 64 0.541839101826738
+5 0 2 0 0 36 51 64 0.516571025574936
+5 0 2 0 0 36 52 64 0.488670621860938
+5 0 2 0 0 36 53 64 0.458280064597636
+5 0 2 0 0 36 54 64 0.425554217243752
+5 0 2 0 0 36 55 64 0.390659843153808
+5 0 2 0 0 36 56 64 0.353774757040274
+5 0 2 0 0 36 57 64 0.31508695672396
+5 0 2 0 0 36 58 64 0.274793655000646
+5 0 2 0 0 36 59 64 0.23310319538701
+5 0 2 0 0 36 60 64 0.190226123696334
+5 0 2 0 0 36 61 64 0.14644121790105
+5 0 2 0 0 36 62 64 0.101865930923136
+5 0 2 0 0 36 63 64 0.0571942942533359
+5 0 2 0 0 36 64 64 0.0119733841163162
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0.62983015082462
+6 0 2 0 0 36 40 64 0.635052404329397
+6 0 2 0 0 36 41 64 0.636993013804279
+6 0 2 0 0 36 42 64 0.635597608138749
+6 0 2 0 0 36 43 64 0.631090107030999
+6 0 2 0 0 36 44 64 0.623315071397883
+6 0 2 0 0 36 45 64 0.61237923790045
+6 0 2 0 0 36 46 64 0.598318506773418
+6 0 2 0 0 36 47 64 0.581209474837006
+6 0 2 0 0 36 48 64 0.561138616584436
+6 0 2 0 0 36 49 64 0.538208331099852
+6 0 2 0 0 36 50 64 0.51253545937864
+6 0 2 0 0 36 51 64 0.484250823489581
+6 0 2 0 0 36 52 64 0.45349855735856
+6 0 2 0 0 36 53 64 0.420435365601054
+6 0 2 0 0 36 54 64 0.385229732533422
+6 0 2 0 0 36 55 64 0.348061058150187
+6 0 2 0 0 36 56 64 0.30911875280769
+6 0 2 0 0 36 57 64 0.268601490505991
+6 0 2 0 0 36 58 64 0.226715774515568
+6 0 2 0 0 36 59 64 0.183683548543471
+6 0 2 0 0 36 60 64 0.139714220272255
+6 0 2 0 0 36 61 64 0.0951348641397391
+6 0 2 0 0 36 62 64 0.0499803034989445
+6 0 2 0 0 36 63 64 0.00490296041934368
+6 0 2 0 0 36 64 64 -0.0404192857501374
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0.297122722560746
+6 0 1 0 0 36 28 64 0.374509240180489
+6 0 1 0 0 36 30 64 0.447057640236956
+6 0 1 0 0 36 32 64 0.506827467675778
+6 0 1 0 0 36 34 64 0.556679618070835
+6 0 1 0 0 36 36 64 0.595093240342499
+6 0 1 0 0 36 38 64 0.621396256826992
+6 0 1 0 0 36 40 64 0.635052404329397
+6 0 1 0 0 36 42 64 0.635597608138749
+6 0 1 0 0 36 44 64 0.623315071397883
+6 0 1 0 0 36 46 64 0.598318506773418
+6 0 1 0 0 36 48 64 0.561138616584436
+6 0 1 0 0 36 50 64 0.51253545937864
+6 0 1 0 0 36 52 64 0.45349855735856
+6 0 1 0 0 36 54 64 0.385229732533422
+6 0 1 0 0 36 56 64 0.30911875280769
+6 0 1 0 0 36 58 64 0.226715774515568
+6 0 1 0 0 36 60 64 0.139714220272255
+6 0 1 0 0 36 62 64 0.0499803034989445
+6 0 1 0 0 36 64 64 -0.0404192857501374
+6 0 1 0 0 36 66 64 -0.130432939352435
+6 0 1 0 0 36 68 64 -0.217846161358475
+6 0 1 0 0 36 70 64 -0.300740709184171
+6 0 1 0 0 36 72 64 -0.377490025456466
+6 0 1 0 0 36 74 64 -0.4447927573626
+6 0 1 0 0 36 76 64 -0.504818975199184
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 0.635541814474585
+7 0 2 0 0 36 40 64 0.637053798547796
+7 0 2 0 0 36 41 64 0.635223978161289
+7 0 2 0 0 36 42 64 0.630077596779582
+7 0 2 0 0 36 43 64 0.621886805327677
+7 0 2 0 0 36 44 64 0.610451161735986
+7 0 2 0 0 36 45 64 0.59593532618713
+7 0 2 0 0 36 46 64 0.578372933786984
+7 0 2 0 0 36 47 64 0.557865167010414
+7 0 2 0 0 36 48 64 0.534514205498578
+7 0 2 0 0 36 49 64 0.50843952109643
+7 0 2 0 0 36 50 64 0.479773943603996
+7 0 2 0 0 36 51 64 0.448663542759907
+7 0 2 0 0 36 52 64 0.415266860888379
+7 0 2 0 0 36 53 64 0.379754068928494
+7 0 2 0 0 36 54 64 0.342306142992595
+7 0 2 0 0 36 55 64 0.303113914189935
+7 0 2 0 0 36 56 64 0.262377121022836
+7 0 2 0 0 36 57 64 0.220304222790979
+7 0 2 0 0 36 58 64 0.177109097416333
+7 0 2 0 0 36 59 64 0.133031046020747
+7 0 2 0 0 36 60 64 0.0882665547822213
+7 0 2 0 0 36 61 64 0.0432026363395562
+7 0 2 0 0 36 62 64 -0.0022353479909682
+7 0 2 0 0 36 63 64 -0.0472096268183642
+7 0 2 0 0 36 64 64 -0.0922066719540544
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 0.637022764443851
+8 0 2 0 0 36 40 64 0.634794318919629
+8 0 2 0 0 36 41 64 0.629170822834932
+8 0 2 0 0 36 42 64 0.620311944049419
+8 0 2 0 0 36 43 64 0.608490147074774
+8 0 2 0 0 36 44 64 0.593466497140219
+8 0 2 0 0 36 45 64 0.575470975692125
+8 0 2 0 0 36 46 64 0.554524225966198
+8 0 2 0 0 36 47 64 0.530756506050169
+8 0 2 0 0 36 48 64 0.504282895512788
+8 0 2 0 0 36 49 64 0.475239733596221
+8 0 2 0 0 36 50 64 0.443774844042711
+8 0 2 0 0 36 51 64 0.410048560301108
+8 0 2 0 0 36 52 64 0.374232784470004
+8 0 2 0 0 36 53 64 0.336509983863942
+8 0 2 0 0 36 54 64 0.297072428471587
+8 0 2 0 0 36 55 64 0.256121117456294
+8 0 2 0 0 36 56 64 0.213864765415619
+8 0 2 0 0 36 57 64 0.170521214655696
+8 0 2 0 0 36 58 64 0.126308742346096
+8 0 2 0 0 36 59 64 0.0814898989568597
+8 0 2 0 0 36 60 64 0.0362316531196102
+8 0 2 0 0 36 61 64 -0.00900841431808859
+8 0 2 0 0 36 62 64 -0.0544289428269975
+8 0 2 0 0 36 63 64 -0.0992283125152526
+8 0 2 0 0 36 64 64 -0.143737359399544
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0.385785774294104
+8 0 1 0 0 36 28 64 0.454285228667723
+8 0 1 0 0 36 30 64 0.515349182687446
+8 0 1 0 0 36 32 64 0.562872587840816
+8 0 1 0 0 36 34 64 0.599805067555074
+8 0 1 0 0 36 36 64 0.624236534857673
+8 0 1 0 0 36 38 64 0.635983763013118
+8 0 1 0 0 36 40 64 0.634794318919629
+8 0 1 0 0 36 42 64 0.620311944049419
+8 0 1 0 0 36 44 64 0.593466497140219
+8 0 1 0 0 36 46 64 0.554524225966198
+8 0 1 0 0 36 48 64 0.504282895512788
+8 0 1 0 0 36 50 64 0.443774844042711
+8 0 1 0 0 36 52 64 0.374232784470004
+8 0 1 0 0 36 54 64 0.297072428471587
+8 0 1 0 0 36 56 64 0.213864765415619
+8 0 1 0 0 36 58 64 0.126308742346096
+8 0 1 0 0 36 60 64 0.0362316531196102
+8 0 1 0 0 36 62 64 -0.0544289428269975
+8 0 1 0 0 36 64 64 -0.143737359399544
+8 0 1 0 0 36 66 64 -0.230450789159106
+8 0 1 0 0 36 68 64 -0.312628563905212
+8 0 1 0 0 36 70 64 -0.388236239019665
+8 0 1 0 0 36 72 64 -0.455985012315432
+8 0 1 0 0 36 74 64 -0.513778273598799
+8 0 1 0 0 36 76 64 -0.562263542224784
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 -0.59648290094983
+8 0 0 0 0 36 4 64 -0.508360375451156
+8 0 0 0 0 36 8 64 -0.379053515669004
+8 0 0 0 0 36 12 64 -0.2190379943654
+8 0 0 0 0 36 16 64 -0.0412773174274225
+8 0 0 0 0 36 20 64 0.139827402282866
+8 0 0 0 0 36 24 64 0.309604137445777
+8 0 0 0 0 36 28 64 0.454285228667723
+8 0 0 0 0 36 32 64 0.562872587840816
+8 0 0 0 0 36 36 64 0.624236534857673
+8 0 0 0 0 36 40 64 0.634794318919629
+8 0 0 0 0 36 44 64 0.593466497140219
+8 0 0 0 0 36 48 64 0.504282895512788
+8 0 0 0 0 36 52 64 0.374232784470004
+8 0 0 0 0 36 56 64 0.213864765415619
+8 0 0 0 0 36 60 64 0.0362316531196102
+8 0 0 0 0 36 64 64 -0.143737359399544
+8 0 0 0 0 36 68 64 -0.312628563905212
+8 0 0 0 0 36 72 64 -0.455985012315432
+8 0 0 0 0 36 76 64 -0.562263542224784
+8 0 0 0 0 36 80 64 -0.624533179725877
+8 0 0 0 0 36 84 64 -0.636281929233952
+8 0 0 0 0 36 88 64 -0.59648290094983
+8 0 0 0 0 36 92 64 -0.508360375451156
+8 0 0 0 0 36 96 64 -0.379053515669004
+8 0 0 0 0 36 100 64 -0.2190379943654
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 0.634209812828432
+9 0 2 0 0 36 40 64 0.628274918729509
+9 0 2 0 0 36 41 64 0.61887493262963
+9 0 2 0 0 36 42 64 0.606368956701179
+9 0 2 0 0 36 43 64 0.59098914383795
+9 0 2 0 0 36 44 64 0.572474620733552
+9 0 2 0 0 36 45 64 0.551123101534418
+9 0 2 0 0 36 46 64 0.526931468192858
+9 0 2 0 0 36 47 64 0.500064926280474
+9 0 2 0 0 36 48 64 0.470647115210927
+9 0 2 0 0 36 49 64 0.43883149642244
+9 0 2 0 0 36 50 64 0.404779625224306
+9 0 2 0 0 36 51 64 0.368665037535563
+9 0 2 0 0 36 52 64 0.3306718804883
+9 0 2 0 0 36 53 64 0.290993637198959
+9 0 2 0 0 36 54 64 0.249832627319507
+9 0 2 0 0 36 55 64 0.207398745216068
+9 0 2 0 0 36 56 64 0.163908182805421
+9 0 2 0 0 36 57 64 0.119588585038016
+9 0 2 0 0 36 58 64 0.074657858907391
+9 0 2 0 0 36 59 64 0.0294096955212991
+9 0 2 0 0 36 60 64 -0.0160389277239629
+9 0 2 0 0 36 61 64 -0.0611503732010811
+9 0 2 0 0 36 62 64 -0.106255188722756
+9 0 2 0 0 36 63 64 -0.150365657983652
+9 0 2 0 0 36 64 64 -0.193969842291678
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 0.627114116521662
+10 0 2 0 0 36 40 64 0.617495280215898
+10 0 2 0 0 36 41 64 0.6044021373935
+10 0 2 0 0 36 42 64 0.588343083867872
+10 0 2 0 0 36 43 64 0.569499345632583
+10 0 2 0 0 36 44 64 0.547615860102001
+10 0 2 0 0 36 45 64 0.523053863668176
+10 0 2 0 0 36 46 64 0.495778027533365
+10 0 2 0 0 36 47 64 0.465995130854847
+10 0 2 0 0 36 48 64 0.433831303041527
+10 0 2 0 0 36 49 64 0.39945809396702
+10 0 2 0 0 36 50 64 0.363049110752814
+10 0 2 0 0 36 51 64 0.32479000080591
+10 0 2 0 0 36 52 64 0.284875988971724
+10 0 2 0 0 36 53 64 0.24351017996565
+10 0 2 0 0 36 54 64 0.200903674654662
+10 0 2 0 0 36 55 64 0.157274067722605
+10 0 2 0 0 36 56 64 0.112843230668311
+10 0 2 0 0 36 57 64 0.0678502045955367
+10 0 2 0 0 36 58 64 0.02250519043084
+10 0 2 0 0 36 59 64 -0.0228575087096431
+10 0 2 0 0 36 60 64 -0.0681932870472046
+10 0 2 0 0 36 61 64 -0.112877327228559
+10 0 2 0 0 36 62 64 -0.157367969690047
+10 0 2 0 0 36 63 64 -0.200716059147744
+10 0 2 0 0 36 64 64 -0.243251289228765
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0.461982037492504
+10 0 1 0 0 36 28 64 0.520003487161111
+10 0 1 0 0 36 30 64 0.5698549298115
+10 0 1 0 0 36 32 64 0.603755785951431
+10 0 1 0 0 36 34 64 0.626858149242049
+10 0 1 0 0 36 36 64 0.636615967276566
+10 0 1 0 0 36 38 64 0.63349365000997
+10 0 1 0 0 36 40 64 0.617495280215898
+10 0 1 0 0 36 42 64 0.588343083867872
+10 0 1 0 0 36 44 64 0.547615860102001
+10 0 1 0 0 36 46 64 0.495778027533365
+10 0 1 0 0 36 48 64 0.433831303041527
+10 0 1 0 0 36 50 64 0.363049110752814
+10 0 1 0 0 36 52 64 0.284875988971724
+10 0 1 0 0 36 54 64 0.200903674654662
+10 0 1 0 0 36 56 64 0.112843230668311
+10 0 1 0 0 36 58 64 0.02250519043084
+10 0 1 0 0 36 60 64 -0.0681932870472046
+10 0 1 0 0 36 62 64 -0.157367969690047
+10 0 1 0 0 36 64 64 -0.243251289228765
+10 0 1 0 0 36 66 64 -0.324266855522901
+10 0 1 0 0 36 68 64 -0.399016282798785
+10 0 1 0 0 36 70 64 -0.465256872294347
+10 0 1 0 0 36 72 64 -0.522215657762104
+10 0 1 0 0 36 74 64 -0.567907294560717
+10 0 1 0 0 36 76 64 -0.603405764286277
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 0.615849546643938
+11 0 2 0 0 36 40 64 0.602628638793061
+11 0 2 0 0 36 41 64 0.585848400498483
+11 0 2 0 0 36 42 64 0.566356039852578
+11 0 2 0 0 36 43 64 0.544162040655804
+11 0 2 0 0 36 44 64 0.519056371659523
+11 0 2 0 0 36 45 64 0.491449458480274
+11 0 2 0 0 36 46 64 0.461270378135533
+11 0 2 0 0 36 47 64 0.428773684701065
+11 0 2 0 0 36 48 64 0.394080357695485
+11 0 2 0 0 36 49 64 0.357381917639525
+11 0 2 0 0 36 50 64 0.31886171816411
+11 0 2 0 0 36 51 64 0.278716483514466
+11 0 2 0 0 36 52 64 0.237151292814672
+11 0 2 0 0 36 53 64 0.194377375663291
+11 0 2 0 0 36 54 64 0.150613328574047
+11 0 2 0 0 36 55 64 0.106083472292893
+11 0 2 0 0 36 56 64 0.0610129850943412
+11 0 2 0 0 36 57 64 0.0156553768397236
+11 0 2 0 0 36 58 64 -0.0297973491570258
+11 0 2 0 0 36 59 64 -0.0749599192875811
+11 0 2 0 0 36 60 64 -0.119881814833069
+11 0 2 0 0 36 61 64 -0.16384554200693
+11 0 2 0 0 36 62 64 -0.207430100938029
+11 0 2 0 0 36 63 64 -0.249510956127024
+11 0 2 0 0 36 64 64 -0.290570727132891
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 0.600365589657947
+12 0 2 0 0 36 40 64 0.58361724932291
+12 0 2 0 0 36 41 64 0.563332660793948
+12 0 2 0 0 36 42 64 0.540554476893825
+12 0 2 0 0 36 43 64 0.515143570328633
+12 0 2 0 0 36 44 64 0.486987313516523
+12 0 2 0 0 36 45 64 0.456519066299318
+12 0 2 0 0 36 46 64 0.423637126413331
+12 0 2 0 0 36 47 64 0.388647762074525
+12 0 2 0 0 36 48 64 0.351658267237628
+12 0 2 0 0 36 49 64 0.312882991003019
+12 0 2 0 0 36 50 64 0.272511865172628
+12 0 2 0 0 36 51 64 0.230751846904073
+12 0 2 0 0 36 52 64 0.187816550685928
+12 0 2 0 0 36 53 64 0.143923776231565
+12 0 2 0 0 36 54 64 0.0992982808099042
+12 0 2 0 0 36 55 64 0.0541705637482062
+12 0 2 0 0 36 56 64 0.0087657515407526
+12 0 2 0 0 36 57 64 -0.036643435500451
+12 0 2 0 0 36 58 64 -0.0818970386343291
+12 0 2 0 0 36 59 64 -0.126548308225414
+12 0 2 0 0 36 60 64 -0.17075953632946
+12 0 2 0 0 36 61 64 -0.213715859869445
+12 0 2 0 0 36 62 64 -0.256110314666263
+12 0 2 0 0 36 63 64 -0.296833350876319
+12 0 2 0 0 36 64 64 -0.336265147030029
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0.528170976179098
+12 0 1 0 0 36 28 64 0.573875790090809
+12 0 1 0 0 36 30 64 0.609087287276532
+12 0 1 0 0 36 32 64 0.628402642711963
+12 0 1 0 0 36 34 64 0.637116109241284
+12 0 1 0 0 36 36 64 0.631884907893327
+12 0 1 0 0 36 38 64 0.61398839170146
+12 0 1 0 0 36 40 64 0.58361724932291
+12 0 1 0 0 36 42 64 0.540554476893825
+12 0 1 0 0 36 44 64 0.486987313516523
+12 0 1 0 0 36 46 64 0.423637126413331
+12 0 1 0 0 36 48 64 0.351658267237628
+12 0 1 0 0 36 50 64 0.272511865172628
+12 0 1 0 0 36 52 64 0.187816550685928
+12 0 1 0 0 36 54 64 0.0992982808099042
+12 0 1 0 0 36 56 64 0.0087657515407526
+12 0 1 0 0 36 58 64 -0.0818970386343291
+12 0 1 0 0 36 60 64 -0.17075953632946
+12 0 1 0 0 36 62 64 -0.256110314666263
+12 0 1 0 0 36 64 64 -0.336265147030029
+12 0 1 0 0 36 66 64 -0.40933948294002
+12 0 1 0 0 36 68 64 -0.47468527241232
+12 0 1 0 0 36 70 64 -0.529752353702159
+12 0 1 0 0 36 72 64 -0.574440164216586
+12 0 1 0 0 36 74 64 -0.608058813284539
+12 0 1 0 0 36 76 64 -0.629908176479455
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 -0.493113583217527
+12 0 0 0 0 36 4 64 -0.358814710696291
+12 0 0 0 0 36 8 64 -0.195446804267703
+12 0 0 0 0 36 12 64 -0.0162449601242362
+12 0 0 0 0 36 16 64 0.164272954075997
+12 0 0 0 0 36 20 64 0.331482033068
+12 0 0 0 0 36 24 64 0.471798630517263
+12 0 0 0 0 36 28 64 0.573875790090809
+12 0 0 0 0 36 32 64 0.628402642711963
+12 0 0 0 0 36 36 64 0.631884907893327
+12 0 0 0 0 36 40 64 0.58361724932291
+12 0 0 0 0 36 44 64 0.486987313516523
+12 0 0 0 0 36 48 64 0.351658267237628
+12 0 0 0 0 36 52 64 0.187816550685928
+12 0 0 0 0 36 56 64 0.0087657515407526
+12 0 0 0 0 36 60 64 -0.17075953632946
+12 0 0 0 0 36 64 64 -0.336265147030029
+12 0 0 0 0 36 68 64 -0.47468527241232
+12 0 0 0 0 36 72 64 -0.574440164216586
+12 0 0 0 0 36 76 64 -0.629908176479455
+12 0 0 0 0 36 80 64 -0.634176468120291
+12 0 0 0 0 36 84 64 -0.587465672010459
+12 0 0 0 0 36 88 64 -0.493113583217527
+12 0 0 0 0 36 92 64 -0.358814710696291
+12 0 0 0 0 36 96 64 -0.195446804267703
+12 0 0 0 0 36 100 64 -0.0162449601242362
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 0.580953045201843
+13 0 2 0 0 36 40 64 0.560802428381677
+13 0 2 0 0 36 41 64 0.537002593720358
+13 0 2 0 0 36 42 64 0.511111583972052
+13 0 2 0 0 36 43 64 0.48263482790769
+13 0 2 0 0 36 44 64 0.451624142138562
+13 0 2 0 0 36 45 64 0.418494043735675
+13 0 2 0 0 36 46 64 0.383128305709754
+13 0 2 0 0 36 47 64 0.345884123147333
+13 0 2 0 0 36 48 64 0.306846999516293
+13 0 2 0 0 36 49 64 0.266257736440141
+13 0 2 0 0 36 50 64 0.224308609795664
+13 0 2 0 0 36 51 64 0.181216337126694
+13 0 2 0 0 36 52 64 0.137201557979924
+13 0 2 0 0 36 53 64 0.0924871313922945
+13 0 2 0 0 36 54 64 0.0473024872422594
+13 0 2 0 0 36 55 64 0.00188444929115118
+13 0 2 0 0 36 56 64 -0.043546770919112
+13 0 2 0 0 36 57 64 -0.0886928049973438
+13 0 2 0 0 36 58 64 -0.13344262948099
+13 0 2 0 0 36 59 64 -0.177277904039775
+13 0 2 0 0 36 60 64 -0.220488347964984
+13 0 2 0 0 36 61 64 -0.262153788488394
+13 0 2 0 0 36 62 64 -0.303087957142435
+13 0 2 0 0 36 63 64 -0.341985198409177
+13 0 2 0 0 36 64 64 -0.379381845443558
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 0.5574971416694
+14 0 2 0 0 36 40 64 0.534070403777286
+14 0 2 0 0 36 41 64 0.507028017561941
+14 0 2 0 0 36 42 64 0.478225029465731
+14 0 2 0 0 36 43 64 0.446850871657929
+14 0 2 0 0 36 44 64 0.413206133200578
+14 0 2 0 0 36 45 64 0.377627357728318
+14 0 2 0 0 36 46 64 0.340014907998268
+14 0 2 0 0 36 47 64 0.300768298570231
+14 0 2 0 0 36 48 64 0.259945639810918
+14 0 2 0 0 36 49 64 0.217817953094562
+14 0 2 0 0 36 50 64 0.17457449430838
+14 0 2 0 0 36 51 64 0.130441843886416
+14 0 2 0 0 36 52 64 0.0856457963832284
+14 0 2 0 0 36 53 64 0.0404129868425929
+14 0 2 0 0 36 54 64 -0.00502433368010441
+14 0 2 0 0 36 55 64 -0.0504218685036027
+14 0 2 0 0 36 56 64 -0.0955712494437229
+14 0 2 0 0 36 57 64 -0.140140462027633
+14 0 2 0 0 36 58 64 -0.184086593731865
+14 0 2 0 0 36 59 64 -0.22680985613064
+14 0 2 0 0 36 60 64 -0.268738951445579
+14 0 2 0 0 36 61 64 -0.308832890630447
+14 0 2 0 0 36 62 64 -0.348052979592333
+14 0 2 0 0 36 63 64 -0.384990370168563
+14 0 2 0 0 36 64 64 -0.42023839019902
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0.578671141408102
+14 0 1 0 0 36 28 64 0.611120922399807
+14 0 1 0 0 36 30 64 0.632012915382089
+14 0 1 0 0 36 32 64 0.636200723451974
+14 0 1 0 0 36 34 64 0.630303783692811
+14 0 1 0 0 36 36 64 0.610157138657849
+14 0 1 0 0 36 38 64 0.57799423657427
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+14 0 1 0 0 36 42 64 0.478225029465731
+14 0 1 0 0 36 44 64 0.413206133200578
+14 0 1 0 0 36 46 64 0.340014907998268
+14 0 1 0 0 36 48 64 0.259945639810918
+14 0 1 0 0 36 50 64 0.17457449430838
+14 0 1 0 0 36 52 64 0.0856457963832284
+14 0 1 0 0 36 54 64 -0.00502433368010441
+14 0 1 0 0 36 56 64 -0.0955712494437229
+14 0 1 0 0 36 58 64 -0.184086593731865
+14 0 1 0 0 36 60 64 -0.268738951445579
+14 0 1 0 0 36 62 64 -0.348052979592333
+14 0 1 0 0 36 64 64 -0.42023839019902
+14 0 1 0 0 36 66 64 -0.483360644461239
+14 0 1 0 0 36 68 64 -0.537602528094023
+14 0 1 0 0 36 70 64 -0.580025497545688
+14 0 1 0 0 36 72 64 -0.611286050331741
+14 0 1 0 0 36 74 64 -0.631170582456802
+14 0 1 0 0 36 76 64 -0.639028110080958
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 0.530463812429352
+15 0 2 0 0 36 40 64 0.503921835127714
+15 0 2 0 0 36 41 64 0.47360683512477
+15 0 2 0 0 36 42 64 0.442118233521132
+15 0 2 0 0 36 43 64 0.408030533616459
+15 0 2 0 0 36 44 64 0.37199583569295
+15 0 2 0 0 36 45 64 0.334193107741609
+15 0 2 0 0 36 46 64 0.294588489791101
+15 0 2 0 0 36 47 64 0.253603841719069
+15 0 2 0 0 36 48 64 0.211269641245549
+15 0 2 0 0 36 49 64 0.167889858589419
+15 0 2 0 0 36 50 64 0.123644452664183
+15 0 2 0 0 36 51 64 0.0787707167900749
+15 0 2 0 0 36 52 64 0.0334971284255998
+15 0 2 0 0 36 53 64 -0.0119466770279073
+15 0 2 0 0 36 54 64 -0.0573281848714071
+15 0 2 0 0 36 55 64 -0.102393152474453
+15 0 2 0 0 36 56 64 -0.146954559620603
+15 0 2 0 0 36 57 64 -0.19063740702926
+15 0 2 0 0 36 58 64 -0.233487421552762
+15 0 2 0 0 36 59 64 -0.274812612442646
+15 0 2 0 0 36 60 64 -0.315192585072238
+15 0 2 0 0 36 61 64 -0.353435008334149
+15 0 2 0 0 36 62 64 -0.390706873443907
+15 0 2 0 0 36 63 64 -0.425303597116819
+15 0 2 0 0 36 64 64 -0.457969722054716
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 0.499670454273888
+16 0 2 0 0 36 40 64 0.470189835893635
+16 0 2 0 0 36 41 64 0.436959170255019
+16 0 2 0 0 36 42 64 0.403037561893438
+16 0 2 0 0 36 43 64 0.366435777111905
+16 0 2 0 0 36 44 64 0.328278218480088
+16 0 2 0 0 36 45 64 0.288485869409555
+16 0 2 0 0 36 46 64 0.247160562452306
+16 0 2 0 0 36 47 64 0.204711400290713
+16 0 2 0 0 36 48 64 0.161149945420153
+16 0 2 0 0 36 49 64 0.116812947371776
+16 0 2 0 0 36 50 64 0.0718645498378625
+16 0 2 0 0 36 51 64 0.0265544063829075
+16 0 2 0 0 36 52 64 -0.018889688925216
+16 0 2 0 0 36 53 64 -0.0642349950966005
+16 0 2 0 0 36 54 64 -0.109252480974133
+16 0 2 0 0 36 55 64 -0.153673859611725
+16 0 2 0 0 36 56 64 -0.197345915515742
+16 0 2 0 0 36 57 64 -0.239840122221483
+16 0 2 0 0 36 58 64 -0.281312051875033
+16 0 2 0 0 36 59 64 -0.320963369350937
+16 0 2 0 0 36 60 64 -0.359542400185396
+16 0 2 0 0 36 61 64 -0.395655569898129
+16 0 2 0 0 36 62 64 -0.43076317179995
+16 0 2 0 0 36 63 64 -0.462812586951206
+16 0 2 0 0 36 64 64 -0.492864194091212
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0.615314578062058
+16 0 1 0 0 36 28 64 0.63333262244044
+16 0 1 0 0 36 30 64 0.638000771104766
+16 0 1 0 0 36 32 64 0.626988968023521
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+16 0 1 0 0 36 36 64 0.572009396606785
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+16 0 1 0 0 36 40 64 0.470189835893635
+16 0 1 0 0 36 42 64 0.403037561893438
+16 0 1 0 0 36 44 64 0.328278218480088
+16 0 1 0 0 36 46 64 0.247160562452306
+16 0 1 0 0 36 48 64 0.161149945420153
+16 0 1 0 0 36 50 64 0.0718645498378625
+16 0 1 0 0 36 52 64 -0.018889688925216
+16 0 1 0 0 36 54 64 -0.109252480974133
+16 0 1 0 0 36 56 64 -0.197345915515742
+16 0 1 0 0 36 58 64 -0.281312051875033
+16 0 1 0 0 36 60 64 -0.359542400185396
+16 0 1 0 0 36 62 64 -0.43076317179995
+16 0 1 0 0 36 64 64 -0.492864194091212
+16 0 1 0 0 36 66 64 -0.544324864652718
+16 0 1 0 0 36 68 64 -0.58607954732067
+16 0 1 0 0 36 70 64 -0.614765785117694
+16 0 1 0 0 36 72 64 -0.631826650591296
+16 0 1 0 0 36 74 64 -0.638234788485644
+16 0 1 0 0 36 76 64 -0.631679787998572
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 -0.337794414256765
+16 0 0 0 0 36 4 64 -0.171335037756763
+16 0 0 0 0 36 8 64 0.00900705762306821
+16 0 0 0 0 36 12 64 0.188619368399998
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+16 0 0 0 0 36 28 64 0.63333262244044
+16 0 0 0 0 36 32 64 0.626988968023521
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+16 0 0 0 0 36 44 64 0.328278218480088
+16 0 0 0 0 36 48 64 0.161149945420153
+16 0 0 0 0 36 52 64 -0.018889688925216
+16 0 0 0 0 36 56 64 -0.197345915515742
+16 0 0 0 0 36 60 64 -0.359542400185396
+16 0 0 0 0 36 64 64 -0.492864194091212
+16 0 0 0 0 36 68 64 -0.58607954732067
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+16 0 0 0 0 36 76 64 -0.631679787998572
+16 0 0 0 0 36 80 64 -0.577133612149914
+16 0 0 0 0 36 84 64 -0.476912575527702
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+16 0 0 0 0 36 96 64 0.00900705762306821
+16 0 0 0 0 36 100 64 0.188619368399998
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 0.465752069015395
+17 0 2 0 0 36 40 64 0.433521306654
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+17 0 2 0 0 36 51 64 -0.0258483470298666
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+17 0 2 0 0 36 60 64 -0.401494478721862
+17 0 2 0 0 36 61 64 -0.435203752388479
+17 0 2 0 0 36 62 64 -0.467948754604053
+17 0 2 0 0 36 63 64 -0.497218049087666
+17 0 2 0 0 36 64 64 -0.52417409581236
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 0.428458050727856
+18 0 2 0 0 36 40 64 0.393700613882491
+18 0 2 0 0 36 41 64 0.354997471616255
+18 0 2 0 0 36 42 64 0.317049998714123
+18 0 2 0 0 36 43 64 0.276079210273221
+18 0 2 0 0 36 44 64 0.234561719555569
+18 0 2 0 0 36 45 64 0.191525105355172
+18 0 2 0 0 36 46 64 0.147637728437608
+18 0 2 0 0 36 47 64 0.10310128429322
+18 0 2 0 0 36 48 64 0.0579720073070356
+18 0 2 0 0 36 49 64 0.0126265217393255
+18 0 2 0 0 36 50 64 -0.0328158535458172
+18 0 2 0 0 36 51 64 -0.0780740225864195
+18 0 2 0 0 36 52 64 -0.122936522725971
+18 0 2 0 0 36 53 64 -0.167158401746077
+18 0 2 0 0 36 54 64 -0.210536686582854
+18 0 2 0 0 36 55 64 -0.252754956647743
+18 0 2 0 0 36 56 64 -0.29377761144696
+18 0 2 0 0 36 57 64 -0.333031193382851
+18 0 2 0 0 36 58 64 -0.370958258674203
+18 0 2 0 0 36 59 64 -0.406473689829667
+18 0 2 0 0 36 60 64 -0.440768613412204
+18 0 2 0 0 36 61 64 -0.471808534526938
+18 0 2 0 0 36 62 64 -0.502003142943992
+18 0 2 0 0 36 63 64 -0.528203309298804
+18 0 2 0 0 36 64 64 -0.552148664050208
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 0.634683844838822
+18 0 1 0 0 36 28 64 0.638105385802741
+18 0 1 0 0 36 30 64 0.626926984313934
+18 0 1 0 0 36 32 64 0.60107583830621
+18 0 1 0 0 36 34 64 0.566642029129093
+18 0 1 0 0 36 36 64 0.518470969827824
+18 0 1 0 0 36 38 64 0.460886935744533
+18 0 1 0 0 36 40 64 0.393700613882491
+18 0 1 0 0 36 42 64 0.317049998714123
+18 0 1 0 0 36 44 64 0.234561719555569
+18 0 1 0 0 36 46 64 0.147637728437608
+18 0 1 0 0 36 48 64 0.0579720073070356
+18 0 1 0 0 36 50 64 -0.0328158535458172
+18 0 1 0 0 36 52 64 -0.122936522725971
+18 0 1 0 0 36 54 64 -0.210536686582854
+18 0 1 0 0 36 56 64 -0.29377761144696
+18 0 1 0 0 36 58 64 -0.370958258674203
+18 0 1 0 0 36 60 64 -0.440768613412204
+18 0 1 0 0 36 62 64 -0.502003142943992
+18 0 1 0 0 36 64 64 -0.552148664050208
+18 0 1 0 0 36 66 64 -0.590590661676418
+18 0 1 0 0 36 68 64 -0.618816839765151
+18 0 1 0 0 36 70 64 -0.633086346706732
+18 0 1 0 0 36 72 64 -0.635525051359897
+18 0 1 0 0 36 74 64 -0.627907768288701
+18 0 1 0 0 36 76 64 -0.607655959009872
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 0.388576802839474
+19 0 2 0 0 36 40 64 0.35150354392877
+19 0 2 0 0 36 41 64 0.310248364482914
+19 0 2 0 0 36 42 64 0.270735958461872
+19 0 2 0 0 36 43 64 0.227943525658183
+19 0 2 0 0 36 44 64 0.18522385041631
+19 0 2 0 0 36 45 64 0.140947878962754
+19 0 2 0 0 36 46 64 0.0962493675233065
+19 0 2 0 0 36 47 64 0.0510933556081787
+19 0 2 0 0 36 48 64 0.00563725261128618
+19 0 2 0 0 36 49 64 -0.0397562238352576
+19 0 2 0 0 36 50 64 -0.0849875313762416
+19 0 2 0 0 36 51 64 -0.129757666221702
+19 0 2 0 0 36 52 64 -0.173873393061938
+19 0 2 0 0 36 53 64 -0.217076857875212
+19 0 2 0 0 36 54 64 -0.259193254987489
+19 0 2 0 0 36 55 64 -0.299867649372625
+19 0 2 0 0 36 56 64 -0.339154570456421
+19 0 2 0 0 36 57 64 -0.376383598724357
+19 0 2 0 0 36 58 64 -0.412179245708158
+19 0 2 0 0 36 59 64 -0.445251510794425
+19 0 2 0 0 36 60 64 -0.477098981850743
+19 0 2 0 0 36 61 64 -0.505218579291678
+19 0 2 0 0 36 62 64 -0.532684642911239
+19 0 2 0 0 36 63 64 -0.55576384792341
+19 0 2 0 0 36 64 64 -0.576184173677959
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 0.345798095010917
+20 0 2 0 0 36 40 64 0.306671501342951
+20 0 2 0 0 36 41 64 0.263399635887557
+20 0 2 0 0 36 42 64 0.222627439139806
+20 0 2 0 0 36 43 64 0.178279795648154
+20 0 2 0 0 36 44 64 0.134691407083801
+20 0 2 0 0 36 45 64 0.0894429574096636
+20 0 2 0 0 36 46 64 0.0442640627302038
+20 0 2 0 0 36 47 64 -0.00123056428660078
+20 0 2 0 0 36 48 64 -0.0467013601747625
+20 0 2 0 0 36 49 64 -0.0918418043018431
+20 0 2 0 0 36 50 64 -0.136558703578935
+20 0 2 0 0 36 51 64 -0.180537043585014
+20 0 2 0 0 36 52 64 -0.223609634823214
+20 0 2 0 0 36 53 64 -0.2654983758581
+20 0 2 0 0 36 54 64 -0.306071419927379
+20 0 2 0 0 36 55 64 -0.34492230037356
+20 0 2 0 0 36 56 64 -0.382220652384781
+20 0 2 0 0 36 57 64 -0.417176348781705
+20 0 2 0 0 36 58 64 -0.450627402502857
+20 0 2 0 0 36 59 64 -0.481019882722765
+20 0 2 0 0 36 60 64 -0.510235224934435
+20 0 2 0 0 36 61 64 -0.535206596622855
+20 0 2 0 0 36 62 64 -0.559768691496586
+20 0 2 0 0 36 63 64 -0.579385617400496
+20 0 2 0 0 36 64 64 -0.596481866404545
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 0.637802360310747
+20 0 1 0 0 36 28 64 0.626241047290031
+20 0 1 0 0 36 30 64 0.599078418668939
+20 0 1 0 0 36 32 64 0.559197234894141
+20 0 1 0 0 36 34 64 0.511498303814464
+20 0 1 0 0 36 36 64 0.451000620225603
+20 0 1 0 0 36 38 64 0.382978999656182
+20 0 1 0 0 36 40 64 0.306671501342951
+20 0 1 0 0 36 42 64 0.222627439139806
+20 0 1 0 0 36 44 64 0.134691407083801
+20 0 1 0 0 36 46 64 0.0442640627302038
+20 0 1 0 0 36 48 64 -0.0467013601747625
+20 0 1 0 0 36 50 64 -0.136558703578935
+20 0 1 0 0 36 52 64 -0.223609634823214
+20 0 1 0 0 36 54 64 -0.306071419927379
+20 0 1 0 0 36 56 64 -0.382220652384781
+20 0 1 0 0 36 58 64 -0.450627402502857
+20 0 1 0 0 36 60 64 -0.510235224934435
+20 0 1 0 0 36 62 64 -0.559768691496586
+20 0 1 0 0 36 64 64 -0.596481866404545
+20 0 1 0 0 36 66 64 -0.62093072533294
+20 0 1 0 0 36 68 64 -0.634938259581221
+20 0 1 0 0 36 70 64 -0.634527906156
+20 0 1 0 0 36 72 64 -0.622347630391839
+20 0 1 0 0 36 74 64 -0.601091644576168
+20 0 1 0 0 36 76 64 -0.567025706855666
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 -0.14671730263796
+20 0 0 0 0 36 4 64 0.0344564120745607
+20 0 0 0 0 36 8 64 0.212856332547802
+20 0 0 0 0 36 12 64 0.374010450512215
+20 0 0 0 0 36 16 64 0.504851038756511
+20 0 0 0 0 36 20 64 0.594792863110573
+20 0 0 0 0 36 24 64 0.636004215315861
+20 0 0 0 0 36 28 64 0.626241047290031
+20 0 0 0 0 36 32 64 0.559197234894141
+20 0 0 0 0 36 36 64 0.451000620225603
+20 0 0 0 0 36 40 64 0.306671501342951
+20 0 0 0 0 36 44 64 0.134691407083801
+20 0 0 0 0 36 48 64 -0.0467013601747625
+20 0 0 0 0 36 52 64 -0.223609634823214
+20 0 0 0 0 36 56 64 -0.382220652384781
+20 0 0 0 0 36 60 64 -0.510235224934435
+20 0 0 0 0 36 64 64 -0.596481866404545
+20 0 0 0 0 36 68 64 -0.634938259581221
+20 0 0 0 0 36 72 64 -0.622347630391839
+20 0 0 0 0 36 76 64 -0.567025706855666
+20 0 0 0 0 36 80 64 -0.459118066564387
+20 0 0 0 0 36 84 64 -0.316110453209494
+20 0 0 0 0 36 88 64 -0.14671730263796
+20 0 0 0 0 36 92 64 0.0344564120745607
+20 0 0 0 0 36 96 64 0.212856332547802
+20 0 0 0 0 36 100 64 0.374010450512215
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 0.301035368847648
+21 0 2 0 0 36 40 64 0.260087541303959
+21 0 2 0 0 36 41 64 0.214784508774168
+21 0 2 0 0 36 42 64 0.173052231181496
+21 0 2 0 0 36 43 64 0.127434741477095
+21 0 2 0 0 36 44 64 0.0833134611237447
+21 0 2 0 0 36 45 64 0.0373704417251504
+21 0 2 0 0 36 46 64 -0.00794862303432576
+21 0 2 0 0 36 47 64 -0.0535036888006757
+21 0 2 0 0 36 48 64 -0.0986726523738491
+21 0 2 0 0 36 49 64 -0.143265380497755
+21 0 2 0 0 36 50 64 -0.187168200674553
+21 0 2 0 0 36 51 64 -0.230057367831065
+21 0 2 0 0 36 52 64 -0.271799106771777
+21 0 2 0 0 36 53 64 -0.312085894975051
+21 0 2 0 0 36 54 64 -0.350847560640884
+21 0 2 0 0 36 55 64 -0.387610076636599
+21 0 2 0 0 36 56 64 -0.422686078084558
+21 0 2 0 0 36 57 64 -0.455136012042462
+21 0 2 0 0 36 58 64 -0.486048365467856
+21 0 2 0 0 36 59 64 -0.513537156281641
+21 0 2 0 0 36 60 64 -0.539944237010045
+21 0 2 0 0 36 61 64 -0.561569558556984
+21 0 2 0 0 36 62 64 -0.583058432451218
+21 0 2 0 0 36 63 64 -0.599310902678108
+21 0 2 0 0 36 64 64 -0.612601267499718
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 0.253936156100823
+22 0 2 0 0 36 40 64 0.211457312085487
+22 0 2 0 0 36 41 64 0.164747736164364
+22 0 2 0 0 36 42 64 0.122344435256662
+22 0 2 0 0 36 43 64 0.0757613209685022
+22 0 2 0 0 36 44 64 0.031437007742338
+22 0 2 0 0 36 45 64 -0.014909809933721
+22 0 2 0 0 36 46 64 -0.0600241466229041
+22 0 2 0 0 36 47 64 -0.105363836379122
+22 0 2 0 0 36 48 64 -0.149911142137151
+22 0 2 0 0 36 49 64 -0.193670549162033
+22 0 2 0 0 36 50 64 -0.236464565564238
+22 0 2 0 0 36 51 64 -0.277976188917312
+22 0 2 0 0 36 52 64 -0.318110133363028
+22 0 2 0 0 36 53 64 -0.356519241625998
+22 0 2 0 0 36 54 64 -0.393217492798618
+22 0 2 0 0 36 55 64 -0.427643781536489
+22 0 2 0 0 36 56 64 -0.460284204960203
+22 0 2 0 0 36 57 64 -0.490012373576831
+22 0 2 0 0 36 58 64 -0.518208196967455
+22 0 2 0 0 36 59 64 -0.542585715506797
+22 0 2 0 0 36 60 64 -0.566013033747162
+22 0 2 0 0 36 61 64 -0.584130006050456
+22 0 2 0 0 36 62 64 -0.602383952724383
+22 0 2 0 0 36 63 64 -0.614943085533337
+22 0 2 0 0 36 64 64 -0.624689201873562
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 0.623888581936971
+22 0 1 0 0 36 28 64 0.597977531134408
+22 0 1 0 0 36 30 64 0.555243925808794
+22 0 1 0 0 36 32 64 0.502517824091814
+22 0 1 0 0 36 34 64 0.442658439319717
+22 0 1 0 0 36 36 64 0.371448433940019
+22 0 1 0 0 36 38 64 0.294895163915066
+22 0 1 0 0 36 40 64 0.211457312085487
+22 0 1 0 0 36 42 64 0.122344435256662
+22 0 1 0 0 36 44 64 0.031437007742338
+22 0 1 0 0 36 46 64 -0.0600241466229041
+22 0 1 0 0 36 48 64 -0.149911142137151
+22 0 1 0 0 36 50 64 -0.236464565564238
+22 0 1 0 0 36 52 64 -0.318110133363028
+22 0 1 0 0 36 54 64 -0.393217492798618
+22 0 1 0 0 36 56 64 -0.460284204960203
+22 0 1 0 0 36 58 64 -0.518208196967455
+22 0 1 0 0 36 60 64 -0.566013033747162
+22 0 1 0 0 36 62 64 -0.602383952724383
+22 0 1 0 0 36 64 64 -0.624689201873562
+22 0 1 0 0 36 66 64 -0.634565225308887
+22 0 1 0 0 36 68 64 -0.634017627703373
+22 0 1 0 0 36 70 64 -0.619082282644098
+22 0 1 0 0 36 72 64 -0.592632670491392
+22 0 1 0 0 36 74 64 -0.558381869831187
+22 0 1 0 0 36 76 64 -0.51216106437629
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 0.20550147368881
+23 0 2 0 0 36 40 64 0.161745529865327
+23 0 2 0 0 36 41 64 0.113642738359054
+23 0 2 0 0 36 42 64 0.0708430211332968
+23 0 2 0 0 36 43 64 0.023614534702693
+23 0 2 0 0 36 44 64 -0.020596797438725
+23 0 2 0 0 36 45 64 -0.0670429803258274
+23 0 2 0 0 36 46 64 -0.111609469776253
+23 0 2 0 0 36 47 64 -0.15645862564141
+23 0 2 0 0 36 48 64 -0.200062770889001
+23 0 2 0 0 36 49 64 -0.242714254456166
+23 0 2 0 0 36 50 64 -0.284110588561725
+23 0 2 0 0 36 51 64 -0.323967920868768
+23 0 2 0 0 36 52 64 -0.362229760691359
+23 0 2 0 0 36 53 64 -0.398499389383101
+23 0 2 0 0 36 54 64 -0.432900378932911
+23 0 2 0 0 36 55 64 -0.464761174715851
+23 0 2 0 0 36 56 64 -0.494773475572979
+23 0 2 0 0 36 57 64 -0.521580243554704
+23 0 2 0 0 36 58 64 -0.546893699869221
+23 0 2 0 0 36 59 64 -0.567973073022963
+23 0 2 0 0 36 60 64 -0.588252719915169
+23 0 2 0 0 36 61 64 -0.602737733526661
+23 0 2 0 0 36 62 64 -0.617610521740755
+23 0 2 0 0 36 63 64 -0.626637235771335
+23 0 2 0 0 36 64 64 -0.6324775536859
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 0.155357054019681
+24 0 2 0 0 36 40 64 0.110630622584215
+24 0 2 0 0 36 41 64 0.061824096451542
+24 0 2 0 0 36 42 64 0.01888890225485
+24 0 2 0 0 36 43 64 -0.0286524300640415
+24 0 2 0 0 36 44 64 -0.0724543612904673
+24 0 2 0 0 36 45 64 -0.118683021333424
+24 0 2 0 0 36 46 64 -0.162368072299292
+24 0 2 0 0 36 47 64 -0.206449693169579
+24 0 2 0 0 36 48 64 -0.248790078811333
+24 0 2 0 0 36 49 64 -0.29007080399866
+24 0 2 0 0 36 50 64 -0.32978706828995
+24 0 2 0 0 36 51 64 -0.367727477514929
+24 0 2 0 0 36 52 64 -0.403867056010127
+24 0 2 0 0 36 53 64 -0.437751713651148
+24 0 2 0 0 36 54 64 -0.469641385416457
+24 0 2 0 0 36 55 64 -0.498726970210757
+24 0 2 0 0 36 56 64 -0.525937779421706
+24 0 2 0 0 36 57 64 -0.549639980438136
+24 0 2 0 0 36 58 64 -0.571912699977731
+24 0 2 0 0 36 59 64 -0.589532181973674
+24 0 2 0 0 36 60 64 -0.606503019086422
+24 0 2 0 0 36 61 64 -0.617268672707571
+24 0 2 0 0 36 62 64 -0.628640593754536
+24 0 2 0 0 36 63 64 -0.633878634492104
+24 0 2 0 0 36 64 64 -0.636055694883457
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 0.593051435158336
+24 0 1 0 0 36 28 64 0.553235529258506
+24 0 1 0 0 36 30 64 0.496587153503386
+24 0 1 0 0 36 32 64 0.432568128179715
+24 0 1 0 0 36 34 64 0.361989164300813
+24 0 1 0 0 36 36 64 0.282004295076648
+24 0 1 0 0 36 38 64 0.199026677654447
+24 0 1 0 0 36 40 64 0.110630622584215
+24 0 1 0 0 36 42 64 0.01888890225485
+24 0 1 0 0 36 44 64 -0.0724543612904673
+24 0 1 0 0 36 46 64 -0.162368072299292
+24 0 1 0 0 36 48 64 -0.248790078811333
+24 0 1 0 0 36 50 64 -0.32978706828995
+24 0 1 0 0 36 52 64 -0.403867056010127
+24 0 1 0 0 36 54 64 -0.469641385416457
+24 0 1 0 0 36 56 64 -0.525937779421706
+24 0 1 0 0 36 58 64 -0.571912699977731
+24 0 1 0 0 36 60 64 -0.606503019086422
+24 0 1 0 0 36 62 64 -0.628640593754536
+24 0 1 0 0 36 64 64 -0.636055694883457
+24 0 1 0 0 36 66 64 -0.631176827555007
+24 0 1 0 0 36 68 64 -0.616095580436379
+24 0 1 0 0 36 70 64 -0.587171213882843
+24 0 1 0 0 36 72 64 -0.547225423875211
+24 0 1 0 0 36 74 64 -0.500404205661221
+24 0 1 0 0 36 76 64 -0.442271353958298
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 0.0601352028871057
+24 0 0 0 0 36 4 64 0.236957458369474
+24 0 0 0 0 36 8 64 0.394656523128193
+24 0 0 0 0 36 12 64 0.520374609924172
+24 0 0 0 0 36 16 64 0.603881812260733
+24 0 0 0 0 36 20 64 0.638500078798993
+24 0 0 0 0 36 24 64 0.620271548205341
+24 0 0 0 0 36 28 64 0.553235529258506
+24 0 0 0 0 36 32 64 0.432568128179715
+24 0 0 0 0 36 36 64 0.282004295076648
+24 0 0 0 0 36 40 64 0.110630622584215
+24 0 0 0 0 36 44 64 -0.0724543612904673
+24 0 0 0 0 36 48 64 -0.248790078811333
+24 0 0 0 0 36 52 64 -0.403867056010127
+24 0 0 0 0 36 56 64 -0.525937779421706
+24 0 0 0 0 36 60 64 -0.606503019086422
+24 0 0 0 0 36 64 64 -0.636055694883457
+24 0 0 0 0 36 68 64 -0.616095580436379
+24 0 0 0 0 36 72 64 -0.547225423875211
+24 0 0 0 0 36 76 64 -0.442271353958298
+24 0 0 0 0 36 80 64 -0.292297261822056
+24 0 0 0 0 36 84 64 -0.121852628406663
+24 0 0 0 0 36 88 64 0.0601352028871057
+24 0 0 0 0 36 92 64 0.236957458369474
+24 0 0 0 0 36 96 64 0.394656523128193
+24 0 0 0 0 36 100 64 0.520374609924172
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.zl
new file mode 100644
index 000000000..98f566827
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vx.zl
@@ -0,0 +1,1757 @@
+# HYDROTOY::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 0.132428472368254
+0 0 2 0 0 36 48 52 0.196827067972688
+0 0 2 0 0 36 48 53 0.259069185031701
+0 0 2 0 0 36 48 54 0.318472885885794
+0 0 2 0 0 36 48 55 0.374387331157387
+0 0 2 0 0 36 48 56 0.426199910483233
+0 0 2 0 0 36 48 57 0.473342954401761
+0 0 2 0 0 36 48 58 0.515299953858481
+0 0 2 0 0 36 48 59 0.55161121918728
+0 0 2 0 0 36 48 60 0.581878916566594
+0 0 2 0 0 36 48 61 0.605771426770014
+0 0 2 0 0 36 48 62 0.62302697845592
+0 0 2 0 0 36 48 63 0.633456516189086
+0 0 2 0 0 36 48 64 0.636945771771587
+0 0 2 0 0 36 48 65 0.633456516189086
+0 0 2 0 0 36 48 66 0.62302697845592
+0 0 2 0 0 36 48 67 0.605771426770014
+0 0 2 0 0 36 48 68 0.581878916566594
+0 0 2 0 0 36 48 69 0.55161121918728
+0 0 2 0 0 36 48 70 0.515299953858481
+0 0 2 0 0 36 48 71 0.47334295440176
+0 0 2 0 0 36 48 72 0.426199910483233
+0 0 2 0 0 36 48 73 0.374387331157387
+0 0 2 0 0 36 48 74 0.318472885885794
+0 0 2 0 0 36 48 75 0.259069185031701
+0 0 2 0 0 36 48 76 0.196827067972688
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+0 0 2 0 0 36 48 79 1.02901299771943e-15
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+0 0 2 0 0 36 48 83 -0.259069185031699
+0 0 2 0 0 36 48 84 -0.318472885885792
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -0.636945771771587
+0 0 1 0 0 36 48 36 -0.62302697845592
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+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 0.581878916566596
+0 0 0 0 0 36 48 4 0.636945771771587
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+0 0 0 0 0 36 48 128 0.581878916566596
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+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 0.182859447316177
+1 0 2 0 0 36 48 52 0.245643801244416
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+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 0.232337107018868
+2 0 2 0 0 36 48 52 0.293071522772709
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+2 0 2 0 0 36 48 84 -0.404256490972884
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -0.628552655248775
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+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 0.279952111893795
+3 0 2 0 0 36 48 52 0.3382490782123
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+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 0.32602404527742
+4 0 2 0 0 36 48 52 0.381463519011613
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+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -0.603952191874012
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+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 0.634847735200847
+4 0 0 0 0 36 48 4 0.604381951846527
+4 0 0 0 0 36 48 8 0.469413038380274
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+4 0 0 0 0 36 48 128 0.469413038380274
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+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 0.369587443098607
+5 0 2 0 0 36 48 52 0.421820541790477
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+5 0 2 0 0 36 48 84 -0.511888431964945
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 0.410973619219158
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+6 0 2 0 0 36 48 83 -0.503288678849976
+6 0 2 0 0 36 48 84 -0.541355614251067
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -0.56404500468142
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+6 0 1 0 0 36 48 100 -0.281813846197895
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 0.449309745991977
+7 0 2 0 0 36 48 52 0.494064359033142
+7 0 2 0 0 36 48 53 0.534038169746167
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+7 0 2 0 0 36 48 84 -0.566994334380775
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 0.484892437889893
+8 0 2 0 0 36 48 52 0.525422968407688
+8 0 2 0 0 36 48 53 0.560773406238685
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+8 0 2 0 0 36 48 83 -0.560327936269043
+8 0 2 0 0 36 48 84 -0.589012391176558
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -0.50812143198451
+8 0 1 0 0 36 48 36 -0.417009758662887
+8 0 1 0 0 36 48 38 -0.302776609144337
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+8 0 1 0 0 36 48 98 -0.306499131785603
+8 0 1 0 0 36 48 100 -0.184433501239431
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 0.621361463077224
+8 0 0 0 0 36 48 4 0.508360375451162
+8 0 0 0 0 36 48 8 0.307459160600561
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+8 0 0 0 0 36 48 128 0.307459160600561
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+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 0.516964186045008
+9 0 2 0 0 36 48 52 0.55302708324319
+9 0 2 0 0 36 48 53 0.583723553491744
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+9 0 2 0 0 36 48 84 -0.606926190611094
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 0.545780821224189
+10 0 2 0 0 36 48 52 0.577099034391671
+10 0 2 0 0 36 48 53 0.60273034698985
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+10 0 2 0 0 36 48 84 -0.62089693069349
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -0.440215712565408
+10 0 1 0 0 36 48 36 -0.334569609426121
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+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 0.570720022387041
+11 0 2 0 0 36 48 52 0.597116654586575
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+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 0.591991082814849
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+12 0 2 0 0 36 48 84 -0.636124656228851
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -0.358773165894115
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+12 0 1 0 0 36 48 100 0.0204108858108276
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 0.542663970499057
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+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 0.609124634295348
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+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 0.622276125686859
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+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 0.631146479920528
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+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 0.635826989009683
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+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 -0.171541543883605
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+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 0.406861988467461
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+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+19 0 2 0 0 36 48 83 -0.585292533125338
+19 0 2 0 0 36 48 84 -0.555977987096761
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 0.611817290212917
+20 0 2 0 0 36 48 52 0.59016958811982
+20 0 2 0 0 36 48 53 0.560801614167177
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+20 0 2 0 0 36 48 83 -0.562568686464548
+20 0 2 0 0 36 48 84 -0.528388206617738
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 0.0338095630282553
+20 0 1 0 0 36 48 36 0.165695866849794
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+20 0 1 0 0 36 48 98 0.29296759525781
+20 0 1 0 0 36 48 100 0.404382643501672
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 0.228090403271795
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+20 0 0 0 0 36 48 96 0.171146825504394
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+20 0 0 0 0 36 48 108 0.638331560568855
+20 0 0 0 0 36 48 112 0.596289674117497
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+20 0 0 0 0 36 48 128 -0.29104750334742
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+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 0.595460632754114
+21 0 2 0 0 36 48 52 0.568740638750186
+21 0 2 0 0 36 48 53 0.533960408252442
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+21 0 2 0 0 36 48 83 -0.536188262811146
+21 0 2 0 0 36 48 84 -0.497418846386569
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 0.574981209208591
+22 0 2 0 0 36 48 52 0.543368345032831
+22 0 2 0 0 36 48 53 0.503507783567639
+22 0 2 0 0 36 48 54 0.461234405468379
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+22 0 2 0 0 36 48 83 -0.506050986031194
+22 0 2 0 0 36 48 84 -0.462891546778999
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 0.135071690480935
+22 0 1 0 0 36 48 36 0.261794221768533
+22 0 1 0 0 36 48 38 0.390431108100945
+22 0 1 0 0 36 48 40 0.479602223189791
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+22 0 1 0 0 36 48 98 0.380814034714774
+22 0 1 0 0 36 48 100 0.479002776273453
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 0.550836844418093
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+23 0 2 0 0 36 48 53 0.469673701873706
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+23 0 2 0 0 36 48 84 -0.425496358259186
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 0.522829890802017
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+24 0 2 0 0 36 48 84 -0.385003264005743
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 0.235487724822829
+24 0 1 0 0 36 48 36 0.353465326684183
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+24 0 1 0 0 36 48 98 0.460066733649372
+24 0 1 0 0 36 48 100 0.543167721423067
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 0.0250411599902423
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+24 0 0 0 0 36 48 128 -0.457995382209808
+24 0 0 0 0 36 48 132 -0.599835554460835
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.xl
new file mode 100644
index 000000000..efe727eca
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.xl
@@ -0,0 +1,1082 @@
+# HYDROTOY::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0.255264089425492
+0 0 2 0 0 28 48 64 0.290590848056751
+0 0 2 0 0 29 48 64 0.322733832546656
+0 0 2 0 0 30 48 64 0.351340877630784
+0 0 2 0 0 31 48 64 0.376098558536783
+0 0 2 0 0 32 48 64 0.39673562493177
+0 0 2 0 0 33 48 64 0.413025972797738
+0 0 2 0 0 34 48 64 0.424791121674493
+0 0 2 0 0 35 48 64 0.431902170128924
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+0 0 2 0 0 37 48 64 0.431902170128924
+0 0 2 0 0 38 48 64 0.424791121674493
+0 0 2 0 0 39 48 64 0.413025972797738
+0 0 2 0 0 40 48 64 0.39673562493177
+0 0 2 0 0 41 48 64 0.376098558536783
+0 0 2 0 0 42 48 64 0.351340877630784
+0 0 2 0 0 43 48 64 0.322733832546656
+0 0 2 0 0 44 48 64 0.290590848056751
+0 0 2 0 0 45 48 64 0.255264089425492
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -0.134200273617741
+0 0 1 0 0 20 48 64 -0.045394747300986
+0 0 1 0 0 22 48 64 0.0453947473009874
+0 0 1 0 0 24 48 64 0.134200273617742
+0 0 1 0 0 26 48 64 0.217140604013042
+0 0 1 0 0 28 48 64 0.290590848056751
+0 0 1 0 0 30 48 64 0.351340877630784
+0 0 1 0 0 32 48 64 0.39673562493177
+0 0 1 0 0 34 48 64 0.424791121674493
+0 0 1 0 0 36 48 64 0.434281208026084
+0 0 1 0 0 38 48 64 0.424791121674493
+0 0 1 0 0 40 48 64 0.39673562493177
+0 0 1 0 0 42 48 64 0.351340877630784
+0 0 1 0 0 44 48 64 0.290590848056751
+0 0 1 0 0 46 48 64 0.217140604013042
+0 0 1 0 0 48 48 64 0.134200273617742
+0 0 1 0 0 50 48 64 0.0453947473009874
+0 0 1 0 0 52 48 64 -0.045394747300986
+0 0 1 0 0 54 48 64 -0.134200273617741
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -0.351340877630785
+0 0 0 0 0 4 48 64 -0.424791121674493
+0 0 0 0 0 8 48 64 -0.424791121674492
+0 0 0 0 0 12 48 64 -0.351340877630783
+0 0 0 0 0 16 48 64 -0.217140604013041
+0 0 0 0 0 20 48 64 -0.045394747300986
+0 0 0 0 0 24 48 64 0.134200273617742
+0 0 0 0 0 28 48 64 0.290590848056751
+0 0 0 0 0 32 48 64 0.39673562493177
+0 0 0 0 0 36 48 64 0.434281208026084
+0 0 0 0 0 40 48 64 0.39673562493177
+0 0 0 0 0 44 48 64 0.290590848056751
+0 0 0 0 0 48 48 64 0.134200273617742
+0 0 0 0 0 52 48 64 -0.045394747300986
+0 0 0 0 0 56 48 64 -0.217140604013041
+0 0 0 0 0 60 48 64 -0.351340877630783
+0 0 0 0 0 64 48 64 -0.424791121674492
+0 0 0 0 0 68 48 64 -0.424791121674493
+0 0 0 0 0 72 48 64 -0.351340877630785
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0.283176568773253
+1 0 2 0 0 28 48 64 0.316055335886615
+1 0 2 0 0 29 48 64 0.345513711018404
+1 0 2 0 0 30 48 64 0.371122783814015
+1 0 2 0 0 31 48 64 0.392665757727724
+1 0 2 0 0 32 48 64 0.409906603429176
+1 0 2 0 0 33 48 64 0.422656426604986
+1 0 2 0 0 34 48 64 0.430775537524368
+1 0 2 0 0 35 48 64 0.434174981509057
+1 0 2 0 0 36 48 64 0.432817513539377
+1 0 2 0 0 37 48 64 0.426718006318472
+1 0 2 0 0 38 48 64 0.415943287323858
+1 0 2 0 0 39 48 64 0.400611406631595
+1 0 2 0 0 40 48 64 0.38089034353495
+1 0 2 0 0 41 48 64 0.356996166128108
+1 0 2 0 0 42 48 64 0.329190664018915
+1 0 2 0 0 43 48 64 0.297778480107156
+1 0 2 0 0 44 48 64 0.263189710344193
+1 0 2 0 0 45 48 64 0.225627533511119
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0.309402069630804
+2 0 2 0 0 28 48 64 0.33958273156523
+2 0 2 0 0 29 48 64 0.365966444549497
+2 0 2 0 0 30 48 64 0.388397912899832
+2 0 2 0 0 31 48 64 0.40658190776558
+2 0 2 0 0 32 48 64 0.420310063822659
+2 0 2 0 0 33 48 64 0.429433214864962
+2 0 2 0 0 34 48 64 0.433851405740526
+2 0 2 0 0 35 48 64 0.433516229825554
+2 0 2 0 0 36 48 64 0.42843135937751
+2 0 2 0 0 37 48 64 0.418652505301101
+2 0 2 0 0 38 48 64 0.404286806767943
+2 0 2 0 0 39 48 64 0.385491657377382
+2 0 2 0 0 40 48 64 0.36247298071928
+2 0 2 0 0 41 48 64 0.335482974232069
+2 0 2 0 0 42 48 64 0.304818858904521
+2 0 2 0 0 43 48 64 0.270820485587063
+2 0 2 0 0 44 48 64 0.233822195913786
+2 0 2 0 0 45 48 64 0.194272120195834
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -0.0655271005248178
+2 0 1 0 0 20 48 64 0.0251548699529308
+2 0 1 0 0 22 48 64 0.115554933383201
+2 0 1 0 0 24 48 64 0.200079272368088
+2 0 1 0 0 26 48 64 0.275859187063621
+2 0 1 0 0 28 48 64 0.33958273156523
+2 0 1 0 0 30 48 64 0.388397912899832
+2 0 1 0 0 32 48 64 0.420310063822659
+2 0 1 0 0 34 48 64 0.433851405740526
+2 0 1 0 0 36 48 64 0.42843135937751
+2 0 1 0 0 38 48 64 0.404286806767943
+2 0 1 0 0 40 48 64 0.36247298071928
+2 0 1 0 0 42 48 64 0.304818858904521
+2 0 1 0 0 44 48 64 0.233822195913786
+2 0 1 0 0 46 48 64 0.152610921783482
+2 0 1 0 0 48 48 64 0.064729818062789
+2 0 1 0 0 50 48 64 -0.0259802893153761
+2 0 1 0 0 52 48 64 -0.114784079645862
+2 0 1 0 0 54 48 64 -0.199254888577804
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0.333361526506141
+3 0 2 0 0 28 48 64 0.360651945132077
+3 0 2 0 0 29 48 64 0.383952973983891
+3 0 2 0 0 30 48 64 0.403047827196931
+3 0 2 0 0 31 48 64 0.417753454940828
+3 0 2 0 0 32 48 64 0.42787574623986
+3 0 2 0 0 33 48 64 0.433310583841825
+3 0 2 0 0 34 48 64 0.433997941187885
+3 0 2 0 0 35 48 64 0.429930326270383
+3 0 2 0 0 36 48 64 0.421152304729559
+3 0 2 0 0 37 48 64 0.407760050406331
+3 0 2 0 0 38 48 64 0.389900291641575
+3 0 2 0 0 39 48 64 0.367768703689713
+3 0 2 0 0 40 48 64 0.341607812135605
+3 0 2 0 0 41 48 64 0.311704605139283
+3 0 2 0 0 42 48 64 0.278393190232293
+3 0 2 0 0 43 48 64 0.242041242350928
+3 0 2 0 0 44 48 64 0.203070278267531
+3 0 2 0 0 45 48 64 0.161812701517813
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0.355235766996151
+4 0 2 0 0 28 48 64 0.379436673240662
+4 0 2 0 0 29 48 64 0.399348797331985
+4 0 2 0 0 30 48 64 0.414972413400282
+4 0 2 0 0 31 48 64 0.426105581045068
+4 0 2 0 0 32 48 64 0.432552334498561
+4 0 2 0 0 33 48 64 0.43426235850381
+4 0 2 0 0 34 48 64 0.431214120790632
+4 0 2 0 0 35 48 64 0.423441430879779
+4 0 2 0 0 36 48 64 0.411029426828164
+4 0 2 0 0 37 48 64 0.394114098362783
+4 0 2 0 0 38 48 64 0.372880774839434
+4 0 2 0 0 39 48 64 0.3475621119441
+4 0 2 0 0 40 48 64 0.318435926858005
+4 0 2 0 0 41 48 64 0.285822450403635
+4 0 2 0 0 42 48 64 0.250094542352784
+4 0 2 0 0 43 48 64 0.211635376807064
+4 0 2 0 0 44 48 64 0.170739966238095
+4 0 2 0 0 45 48 64 0.128041071204397
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 0.0067368636882607
+4 0 1 0 0 20 48 64 0.0970575786127553
+4 0 1 0 0 22 48 64 0.182691419617382
+4 0 1 0 0 24 48 64 0.260571042573595
+4 0 1 0 0 26 48 64 0.327161478786347
+4 0 1 0 0 28 48 64 0.379436673240662
+4 0 1 0 0 30 48 64 0.414972413400282
+4 0 1 0 0 32 48 64 0.432552334498561
+4 0 1 0 0 34 48 64 0.431214120790632
+4 0 1 0 0 36 48 64 0.411029426828164
+4 0 1 0 0 38 48 64 0.372880774839434
+4 0 1 0 0 40 48 64 0.318435926858005
+4 0 1 0 0 42 48 64 0.250094542352784
+4 0 1 0 0 44 48 64 0.170739966238095
+4 0 1 0 0 46 48 64 0.0839528439105613
+4 0 1 0 0 48 48 64 -0.00648909154336562
+4 0 1 0 0 50 48 64 -0.0966107184904965
+4 0 1 0 0 52 48 64 -0.183131617804134
+4 0 1 0 0 54 48 64 -0.261016192773853
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -0.415891937557671
+4 0 0 0 0 4 48 64 -0.432015923162627
+4 0 0 0 0 8 48 64 -0.373440430911314
+4 0 0 0 0 12 48 64 -0.250293695555626
+4 0 0 0 0 16 48 64 -0.0838689063915308
+4 0 0 0 0 20 48 64 0.0970575786127553
+4 0 0 0 0 24 48 64 0.260571042573595
+4 0 0 0 0 28 48 64 0.379436673240662
+4 0 0 0 0 32 48 64 0.432552334498561
+4 0 0 0 0 36 48 64 0.411029426828164
+4 0 0 0 0 40 48 64 0.318435926858005
+4 0 0 0 0 44 48 64 0.170739966238095
+4 0 0 0 0 48 48 64 -0.00648909154336562
+4 0 0 0 0 52 48 64 -0.183131617804134
+4 0 0 0 0 56 48 64 -0.327856457689353
+4 0 0 0 0 60 48 64 -0.415891937557671
+4 0 0 0 0 64 48 64 -0.432015923162627
+4 0 0 0 0 68 48 64 -0.373440430911314
+4 0 0 0 0 72 48 64 -0.250293695555626
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0.37457330761679
+5 0 2 0 0 28 48 64 0.395532448157436
+5 0 2 0 0 29 48 64 0.412049450282863
+5 0 2 0 0 30 48 64 0.424091414994913
+5 0 2 0 0 31 48 64 0.4315824828303
+5 0 2 0 0 32 48 64 0.434307743906934
+5 0 2 0 0 33 48 64 0.432282152192767
+5 0 2 0 0 34 48 64 0.42551867321535
+5 0 2 0 0 35 48 64 0.414093285823423
+5 0 2 0 0 36 48 64 0.398130985176334
+5 0 2 0 0 37 48 64 0.377806679667686
+5 0 2 0 0 38 48 64 0.353343069037434
+5 0 2 0 0 39 48 64 0.325008285579854
+5 0 2 0 0 40 48 64 0.293114403603077
+5 0 2 0 0 41 48 64 0.258012424736911
+5 0 2 0 0 42 48 64 0.220116031119362
+5 0 2 0 0 43 48 64 0.179806264318881
+5 0 2 0 0 44 48 64 0.137465698000383
+5 0 2 0 0 45 48 64 0.0936210045505963
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0.391517582994284
+6 0 2 0 0 28 48 64 0.409074092460248
+6 0 2 0 0 29 48 64 0.421966449917568
+6 0 2 0 0 30 48 64 0.430343946508604
+6 0 2 0 0 31 48 64 0.434147542998717
+6 0 2 0 0 32 48 64 0.433129393605063
+6 0 2 0 0 33 48 64 0.427383419617106
+6 0 2 0 0 34 48 64 0.416949899559964
+6 0 2 0 0 35 48 64 0.401948897546469
+6 0 2 0 0 36 48 64 0.382543933581744
+6 0 2 0 0 37 48 64 0.358947753809314
+6 0 2 0 0 38 48 64 0.331419006632753
+6 0 2 0 0 39 48 64 0.300259585685352
+6 0 2 0 0 40 48 64 0.265815268912427
+6 0 2 0 0 41 48 64 0.228463521083312
+6 0 2 0 0 42 48 64 0.188660698999873
+6 0 2 0 0 43 48 64 0.146767542523327
+6 0 2 0 0 44 48 64 0.10303599416276
+6 0 2 0 0 45 48 64 0.0583345608669474
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0.0771461572319428
+6 0 1 0 0 20 48 64 0.164605362121077
+6 0 1 0 0 22 48 64 0.244983780636046
+6 0 1 0 0 24 48 64 0.314024350992821
+6 0 1 0 0 26 48 64 0.36967136494162
+6 0 1 0 0 28 48 64 0.409074092460248
+6 0 1 0 0 30 48 64 0.430343946508604
+6 0 1 0 0 32 48 64 0.433129393605063
+6 0 1 0 0 34 48 64 0.416949899559964
+6 0 1 0 0 36 48 64 0.382543933581744
+6 0 1 0 0 38 48 64 0.331419006632753
+6 0 1 0 0 40 48 64 0.265815268912427
+6 0 1 0 0 42 48 64 0.188660698999873
+6 0 1 0 0 44 48 64 0.10303599416276
+6 0 1 0 0 46 48 64 0.0130134629970996
+6 0 1 0 0 48 48 64 -0.077522130263491
+6 0 1 0 0 50 48 64 -0.164618184676369
+6 0 1 0 0 52 48 64 -0.244894892163837
+6 0 1 0 0 54 48 64 -0.31425977339474
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0.405711722968518
+7 0 2 0 0 28 48 64 0.41975904041542
+7 0 2 0 0 29 48 64 0.429033323321321
+7 0 2 0 0 30 48 64 0.433689662183315
+7 0 2 0 0 31 48 64 0.433783395208933
+7 0 2 0 0 32 48 64 0.429024375375599
+7 0 2 0 0 33 48 64 0.419599318484141
+7 0 2 0 0 34 48 64 0.405565319864247
+7 0 2 0 0 35 48 64 0.387090056552763
+7 0 2 0 0 36 48 64 0.364373268176164
+7 0 2 0 0 37 48 64 0.337664410638778
+7 0 2 0 0 38 48 64 0.30725654622162
+7 0 2 0 0 39 48 64 0.273483289221316
+7 0 2 0 0 40 48 64 0.236724164009264
+7 0 2 0 0 41 48 64 0.197376169649969
+7 0 2 0 0 42 48 64 0.155940546586053
+7 0 2 0 0 43 48 64 0.112739316901096
+7 0 2 0 0 44 48 64 0.0681314450654611
+7 0 2 0 0 45 48 64 0.0228784735318221
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0.417268657032234
+8 0 2 0 0 28 48 64 0.427688147267513
+8 0 2 0 0 29 48 64 0.433200460796139
+8 0 2 0 0 30 48 64 0.434107556422177
+8 0 2 0 0 31 48 64 0.43049192038432
+8 0 2 0 0 32 48 64 0.422019543559196
+8 0 2 0 0 33 48 64 0.408982372488295
+8 0 2 0 0 34 48 64 0.391441159406557
+8 0 2 0 0 35 48 64 0.369616695178708
+8 0 2 0 0 36 48 64 0.343741214330307
+8 0 2 0 0 37 48 64 0.314099922724759
+8 0 2 0 0 38 48 64 0.281018734327645
+8 0 2 0 0 39 48 64 0.24486035896335
+8 0 2 0 0 40 48 64 0.206038766462716
+8 0 2 0 0 41 48 64 0.164960493436467
+8 0 2 0 0 42 48 64 0.12217454745716
+8 0 2 0 0 43 48 64 0.0779488163171648
+8 0 2 0 0 44 48 64 0.0325251872617414
+8 0 2 0 0 45 48 64 -0.0129742671169253
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0.147468882292441
+8 0 1 0 0 20 48 64 0.229700892663699
+8 0 1 0 0 22 48 64 0.300732694945574
+8 0 1 0 0 24 48 64 0.358987854011449
+8 0 1 0 0 26 48 64 0.402249531828664
+8 0 1 0 0 28 48 64 0.427688147267513
+8 0 1 0 0 30 48 64 0.434107556422177
+8 0 1 0 0 32 48 64 0.422019543559196
+8 0 1 0 0 34 48 64 0.391441159406557
+8 0 1 0 0 36 48 64 0.343741214330307
+8 0 1 0 0 38 48 64 0.281018734327645
+8 0 1 0 0 40 48 64 0.206038766462716
+8 0 1 0 0 42 48 64 0.12217454745716
+8 0 1 0 0 44 48 64 0.0325251872617414
+8 0 1 0 0 46 48 64 -0.0582942915334041
+8 0 1 0 0 48 48 64 -0.146451373479217
+8 0 1 0 0 50 48 64 -0.228218142555362
+8 0 1 0 0 52 48 64 -0.301921392595625
+8 0 1 0 0 54 48 64 -0.360663721881204
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -0.436390709668035
+8 0 0 0 0 4 48 64 -0.393242459943245
+8 0 0 0 0 8 48 64 -0.282099016398671
+8 0 0 0 0 12 48 64 -0.122178090129659
+8 0 0 0 0 16 48 64 0.0588685378758739
+8 0 0 0 0 20 48 64 0.229700892663699
+8 0 0 0 0 24 48 64 0.358987854011449
+8 0 0 0 0 28 48 64 0.427688147267513
+8 0 0 0 0 32 48 64 0.422019543559196
+8 0 0 0 0 36 48 64 0.343741214330307
+8 0 0 0 0 40 48 64 0.206038766462716
+8 0 0 0 0 44 48 64 0.0325251872617414
+8 0 0 0 0 48 48 64 -0.146451373479217
+8 0 0 0 0 52 48 64 -0.301921392595625
+8 0 0 0 0 56 48 64 -0.404083041206084
+8 0 0 0 0 60 48 64 -0.436390709668035
+8 0 0 0 0 64 48 64 -0.393242459943245
+8 0 0 0 0 68 48 64 -0.282099016398671
+8 0 0 0 0 72 48 64 -0.122178090129659
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0.425934883516877
+9 0 2 0 0 28 48 64 0.432669711612734
+9 0 2 0 0 29 48 64 0.434441189807956
+9 0 2 0 0 30 48 64 0.43159680365172
+9 0 2 0 0 31 48 64 0.424294191332907
+9 0 2 0 0 32 48 64 0.41216142147079
+9 0 2 0 0 33 48 64 0.395603947624351
+9 0 2 0 0 34 48 64 0.374671711622066
+9 0 2 0 0 35 48 64 0.349646103300171
+9 0 2 0 0 36 48 64 0.32078627833161
+9 0 2 0 0 37 48 64 0.288412673442137
+9 0 2 0 0 38 48 64 0.252882524808631
+9 0 2 0 0 39 48 64 0.214584036244235
+9 0 2 0 0 40 48 64 0.173967008140792
+9 0 2 0 0 41 48 64 0.131434509170246
+9 0 2 0 0 42 48 64 0.0875877416085126
+9 0 2 0 0 43 48 64 0.0426272774952725
+9 0 2 0 0 44 48 64 -0.00307270470850814
+9 0 2 0 0 45 48 64 -0.0485112621998974
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0.431790493764246
+10 0 2 0 0 28 48 64 0.434767633919014
+10 0 2 0 0 29 48 64 0.432745568959535
+10 0 2 0 0 30 48 64 0.426175191604891
+10 0 2 0 0 31 48 64 0.415230372525705
+10 0 2 0 0 32 48 64 0.399515972420748
+10 0 2 0 0 33 48 64 0.379553593855065
+10 0 2 0 0 34 48 64 0.355368630971205
+10 0 2 0 0 35 48 64 0.32731204073914
+10 0 2 0 0 36 48 64 0.295662211288235
+10 0 2 0 0 37 48 64 0.260775003851313
+10 0 2 0 0 38 48 64 0.223037478621929
+10 0 2 0 0 39 48 64 0.182858298715126
+10 0 2 0 0 40 48 64 0.140725233342433
+10 0 2 0 0 41 48 64 0.0970223996362531
+10 0 2 0 0 42 48 64 0.0524097270246472
+10 0 2 0 0 43 48 64 0.00700954086728865
+10 0 2 0 0 44 48 64 -0.0388989223585846
+10 0 2 0 0 45 48 64 -0.0839638404447307
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0.212244320883821
+10 0 1 0 0 20 48 64 0.287062795917972
+10 0 1 0 0 22 48 64 0.348423520218175
+10 0 1 0 0 24 48 64 0.394251255165844
+10 0 1 0 0 26 48 64 0.424022388841771
+10 0 1 0 0 28 48 64 0.434767633919014
+10 0 1 0 0 30 48 64 0.426175191604891
+10 0 1 0 0 32 48 64 0.399515972420748
+10 0 1 0 0 34 48 64 0.355368630971205
+10 0 1 0 0 36 48 64 0.295662211288235
+10 0 1 0 0 38 48 64 0.223037478621929
+10 0 1 0 0 40 48 64 0.140725233342433
+10 0 1 0 0 42 48 64 0.0524097270246472
+10 0 1 0 0 44 48 64 -0.0388989223585846
+10 0 1 0 0 46 48 64 -0.128045100755805
+10 0 1 0 0 48 48 64 -0.211433749093626
+10 0 1 0 0 50 48 64 -0.285728283735104
+10 0 1 0 0 52 48 64 -0.349528713853188
+10 0 1 0 0 54 48 64 -0.396349827924696
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 0.43469289935829
+11 0 2 0 0 28 48 64 0.433906970883044
+11 0 2 0 0 29 48 64 0.428126386298831
+11 0 2 0 0 30 48 64 0.417879967187048
+11 0 2 0 0 31 48 64 0.403359566675564
+11 0 2 0 0 32 48 64 0.384168162779348
+11 0 2 0 0 33 48 64 0.360938311915024
+11 0 2 0 0 34 48 64 0.33366021308767
+11 0 2 0 0 35 48 64 0.30276379711669
+11 0 2 0 0 36 48 64 0.26853694471596
+11 0 2 0 0 37 48 64 0.231372030055151
+11 0 2 0 0 38 48 64 0.191684385083409
+11 0 2 0 0 39 48 64 0.149896259434438
+11 0 2 0 0 40 48 64 0.106536429933995
+11 0 2 0 0 41 48 64 0.0619529033342201
+11 0 2 0 0 42 48 64 0.0168738817225296
+11 0 2 0 0 43 48 64 -0.0286682371224603
+11 0 2 0 0 44 48 64 -0.0742314704839083
+11 0 2 0 0 45 48 64 -0.118621478665806
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 0.434686088975731
+12 0 2 0 0 28 48 64 0.430112703605927
+12 0 2 0 0 29 48 64 0.420612272272028
+12 0 2 0 0 30 48 64 0.406766263928929
+12 0 2 0 0 31 48 64 0.388759574345379
+12 0 2 0 0 32 48 64 0.3662214116364
+12 0 2 0 0 33 48 64 0.339881815733634
+12 0 2 0 0 34 48 64 0.309690705507928
+12 0 2 0 0 35 48 64 0.276165246768692
+12 0 2 0 0 36 48 64 0.239591551821094
+12 0 2 0 0 37 48 64 0.200400475697186
+12 0 2 0 0 38 48 64 0.159033857048315
+12 0 2 0 0 39 48 64 0.11591859022218
+12 0 2 0 0 40 48 64 0.0716286855175668
+12 0 2 0 0 41 48 64 0.0264579146027253
+12 0 2 0 0 42 48 64 -0.018783713478881
+12 0 2 0 0 43 48 64 -0.0641699646928951
+12 0 2 0 0 44 48 64 -0.109311014152672
+12 0 2 0 0 45 48 64 -0.152715859705893
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0.273204231463666
+12 0 1 0 0 20 48 64 0.338451529991446
+12 0 1 0 0 22 48 64 0.386740685172405
+12 0 1 0 0 24 48 64 0.418874863572788
+12 0 1 0 0 26 48 64 0.434405690317224
+12 0 1 0 0 28 48 64 0.430112703605927
+12 0 1 0 0 30 48 64 0.406766263928929
+12 0 1 0 0 32 48 64 0.3662214116364
+12 0 1 0 0 34 48 64 0.309690705507928
+12 0 1 0 0 36 48 64 0.239591551821094
+12 0 1 0 0 38 48 64 0.159033857048315
+12 0 1 0 0 40 48 64 0.0716286855175668
+12 0 1 0 0 42 48 64 -0.018783713478881
+12 0 1 0 0 44 48 64 -0.109311014152672
+12 0 1 0 0 46 48 64 -0.194356045439442
+12 0 1 0 0 48 48 64 -0.270743823780805
+12 0 1 0 0 50 48 64 -0.33566176024742
+12 0 1 0 0 52 48 64 -0.389277657685296
+12 0 1 0 0 54 48 64 -0.422543806214431
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -0.410565567330891
+12 0 0 0 0 4 48 64 -0.31242836501202
+12 0 0 0 0 8 48 64 -0.160269949080453
+12 0 0 0 0 12 48 64 0.0195994917971793
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+12 0 0 0 0 32 48 64 0.3662214116364
+12 0 0 0 0 36 48 64 0.239591551821094
+12 0 0 0 0 40 48 64 0.0716286855175668
+12 0 0 0 0 44 48 64 -0.109311014152672
+12 0 0 0 0 48 48 64 -0.270743823780805
+12 0 0 0 0 52 48 64 -0.389277657685296
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+12 0 0 0 0 60 48 64 -0.410565567330891
+12 0 0 0 0 64 48 64 -0.31242836501202
+12 0 0 0 0 68 48 64 -0.160269949080453
+12 0 0 0 0 72 48 64 0.0195994917971793
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 0.431744712888967
+13 0 2 0 0 28 48 64 0.423428954257859
+13 0 2 0 0 29 48 64 0.410253746253536
+13 0 2 0 0 30 48 64 0.392908122775334
+13 0 2 0 0 31 48 64 0.37152654051524
+13 0 2 0 0 32 48 64 0.345796877844016
+13 0 2 0 0 33 48 64 0.316523823538165
+13 0 2 0 0 34 48 64 0.283619661008409
+13 0 2 0 0 35 48 64 0.247693926382508
+13 0 2 0 0 36 48 64 0.20901926388887
+13 0 2 0 0 37 48 64 0.168067539675316
+13 0 2 0 0 38 48 64 0.125304949164543
+13 0 2 0 0 39 48 64 0.0811520401929853
+13 0 2 0 0 40 48 64 0.036233948326642
+13 0 2 0 0 41 48 64 -0.00922871894071429
+13 0 2 0 0 42 48 64 -0.0543251544263952
+13 0 2 0 0 43 48 64 -0.0992606083259572
+13 0 2 0 0 44 48 64 -0.14342245574997
+13 0 2 0 0 45 48 64 -0.185555210448071
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 0.425872093771338
+14 0 2 0 0 28 48 64 0.413841015448775
+14 0 2 0 0 29 48 64 0.397116367921888
+14 0 2 0 0 30 48 64 0.376396973671367
+14 0 2 0 0 31 48 64 0.351774442969827
+14 0 2 0 0 32 48 64 0.323032680047163
+14 0 2 0 0 33 48 64 0.29101938021344
+14 0 2 0 0 34 48 64 0.255621302677836
+14 0 2 0 0 35 48 64 0.21754012775328
+14 0 2 0 0 36 48 64 0.177024531996661
+14 0 2 0 0 37 48 64 0.134589782277612
+14 0 2 0 0 38 48 64 0.0907238308169727
+14 0 2 0 0 39 48 64 0.045828082883039
+14 0 2 0 0 40 48 64 0.000587086508150376
+14 0 2 0 0 41 48 64 -0.0448721770746427
+14 0 2 0 0 42 48 64 -0.0895117334515002
+14 0 2 0 0 43 48 64 -0.133708182182963
+14 0 2 0 0 44 48 64 -0.176804161147436
+14 0 2 0 0 45 48 64 -0.217368398518699
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0.325463850480568
+14 0 1 0 0 20 48 64 0.379509377595187
+14 0 1 0 0 22 48 64 0.414651076841092
+14 0 1 0 0 24 48 64 0.432219254152459
+14 0 1 0 0 26 48 64 0.433120586120563
+14 0 1 0 0 28 48 64 0.413841015448775
+14 0 1 0 0 30 48 64 0.376396973671367
+14 0 1 0 0 32 48 64 0.323032680047163
+14 0 1 0 0 34 48 64 0.255621302677836
+14 0 1 0 0 36 48 64 0.177024531996661
+14 0 1 0 0 38 48 64 0.0907238308169727
+14 0 1 0 0 40 48 64 0.000587086508150376
+14 0 1 0 0 42 48 64 -0.0895117334515002
+14 0 1 0 0 44 48 64 -0.176804161147436
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+14 0 1 0 0 48 48 64 -0.322828064452536
+14 0 1 0 0 50 48 64 -0.376699475627783
+14 0 1 0 0 52 48 64 -0.417719557564131
+14 0 1 0 0 54 48 64 -0.436878282706566
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 0.417165312341414
+15 0 2 0 0 28 48 64 0.401510978360074
+15 0 2 0 0 29 48 64 0.381286949216041
+15 0 2 0 0 30 48 64 0.357342624381128
+15 0 2 0 0 31 48 64 0.329634433232424
+15 0 2 0 0 32 48 64 0.298082967889528
+15 0 2 0 0 33 48 64 0.263538151337431
+15 0 2 0 0 34 48 64 0.225883824850679
+15 0 2 0 0 35 48 64 0.185905956018735
+15 0 2 0 0 36 48 64 0.143822080275368
+15 0 2 0 0 37 48 64 0.100191972889086
+15 0 2 0 0 38 48 64 0.0555225130520526
+15 0 2 0 0 39 48 64 0.0101816802711077
+15 0 2 0 0 40 48 64 -0.0350748603746199
+15 0 2 0 0 41 48 64 -0.0802375018611138
+15 0 2 0 0 42 48 64 -0.1241054171134
+15 0 2 0 0 43 48 64 -0.167283229526431
+15 0 2 0 0 44 48 64 -0.20876881126166
+15 0 2 0 0 45 48 64 -0.247500765822712
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 0.405582401660548
+16 0 2 0 0 28 48 64 0.386384812597958
+16 0 2 0 0 29 48 64 0.362867326652729
+16 0 2 0 0 30 48 64 0.335871535108534
+16 0 2 0 0 31 48 64 0.305254020379797
+16 0 2 0 0 32 48 64 0.271116892297903
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+16 0 2 0 0 34 48 64 0.194608520287155
+16 0 2 0 0 35 48 64 0.153004266977856
+16 0 2 0 0 36 48 64 0.109635861952211
+16 0 2 0 0 37 48 64 0.0651058140589195
+16 0 2 0 0 38 48 64 0.0199375914911922
+16 0 2 0 0 39 48 64 -0.0255498856463214
+16 0 2 0 0 40 48 64 -0.070513448318202
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+16 0 2 0 0 43 48 64 -0.199761482881125
+16 0 2 0 0 44 48 64 -0.239545512453778
+16 0 2 0 0 45 48 64 -0.276173411569371
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0.370565637293802
+16 0 1 0 0 20 48 64 0.411688911158841
+16 0 1 0 0 22 48 64 0.431373571659464
+16 0 1 0 0 24 48 64 0.433949641908352
+16 0 1 0 0 26 48 64 0.420201152903132
+16 0 1 0 0 28 48 64 0.386384812597958
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+16 0 1 0 0 32 48 64 0.271116892297903
+16 0 1 0 0 34 48 64 0.194608520287155
+16 0 1 0 0 36 48 64 0.109635861952211
+16 0 1 0 0 38 48 64 0.0199375914911922
+16 0 1 0 0 40 48 64 -0.070513448318202
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+16 0 1 0 0 44 48 64 -0.239545512453778
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+16 0 1 0 0 50 48 64 -0.407793010675061
+16 0 1 0 0 52 48 64 -0.436003968998967
+16 0 1 0 0 54 48 64 -0.440059138064365
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -0.341015484805846
+16 0 0 0 0 4 48 64 -0.197963326722892
+16 0 0 0 0 8 48 64 -0.0206895262313792
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+16 0 0 0 0 28 48 64 0.386384812597958
+16 0 0 0 0 32 48 64 0.271116892297903
+16 0 0 0 0 36 48 64 0.109635861952211
+16 0 0 0 0 40 48 64 -0.070513448318202
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+16 0 0 0 0 48 48 64 -0.36632822189475
+16 0 0 0 0 52 48 64 -0.436003968998967
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+16 0 0 0 0 64 48 64 -0.197963326722892
+16 0 0 0 0 68 48 64 -0.0206895262313792
+16 0 0 0 0 72 48 64 0.160152245544902
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 0.39134304272441
+17 0 2 0 0 28 48 64 0.368738061312764
+17 0 2 0 0 29 48 64 0.341980371159684
+17 0 2 0 0 30 48 64 0.312127396603957
+17 0 2 0 0 31 48 64 0.278796165685139
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+17 0 2 0 0 34 48 64 0.162008612297351
+17 0 2 0 0 35 48 64 0.119057379644057
+17 0 2 0 0 36 48 64 0.0746978142392145
+17 0 2 0 0 37 48 64 0.0295684519114299
+17 0 2 0 0 38 48 64 -0.0157910669659711
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+17 0 2 0 0 41 48 64 -0.149197699335967
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+17 0 2 0 0 43 48 64 -0.230922381186913
+17 0 2 0 0 44 48 64 -0.268497054390684
+17 0 2 0 0 45 48 64 -0.302789223238481
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 0.374359012084731
+18 0 2 0 0 28 48 64 0.348478876787713
+18 0 2 0 0 29 48 64 0.318764230760094
+18 0 2 0 0 30 48 64 0.286268970692994
+18 0 2 0 0 31 48 64 0.250438285921286
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+18 0 2 0 0 34 48 64 0.128307691794098
+18 0 2 0 0 35 48 64 0.084295474438677
+18 0 2 0 0 36 48 64 0.0392463211286308
+18 0 2 0 0 37 48 64 -0.00617928811521711
+18 0 2 0 0 38 48 64 -0.0514217798749837
+18 0 2 0 0 39 48 64 -0.0963148730747388
+18 0 2 0 0 40 48 64 -0.139766160762042
+18 0 2 0 0 41 48 64 -0.182328950460255
+18 0 2 0 0 42 48 64 -0.221993404529099
+18 0 2 0 0 43 48 64 -0.260553247385862
+18 0 2 0 0 44 48 64 -0.295835840516749
+18 0 2 0 0 45 48 64 -0.327552806878809
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0.404719291942541
+18 0 1 0 0 20 48 64 0.432037777584612
+18 0 1 0 0 22 48 64 0.436473688812863
+18 0 1 0 0 24 48 64 0.424052444708008
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+18 0 1 0 0 32 48 64 0.211879588068709
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+18 0 1 0 0 36 48 64 0.0392463211286308
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+18 0 1 0 0 40 48 64 -0.139766160762042
+18 0 1 0 0 42 48 64 -0.221993404529099
+18 0 1 0 0 44 48 64 -0.295835840516749
+18 0 1 0 0 46 48 64 -0.355600155166712
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+18 0 1 0 0 50 48 64 -0.428108459216808
+18 0 1 0 0 52 48 64 -0.442257297660652
+18 0 1 0 0 54 48 64 -0.431457305400707
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 0.354966307839996
+19 0 2 0 0 28 48 64 0.325988824939209
+19 0 2 0 0 29 48 64 0.293377251719112
+19 0 2 0 0 30 48 64 0.258470110455077
+19 0 2 0 0 31 48 64 0.220371211714757
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+19 0 2 0 0 35 48 64 0.0489546386973851
+19 0 2 0 0 36 48 64 0.00352433304142839
+19 0 2 0 0 37 48 64 -0.0418949407460513
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+19 0 2 0 0 39 48 64 -0.130873047225217
+19 0 2 0 0 40 48 64 -0.17310758108868
+19 0 2 0 0 41 48 64 -0.21425709196197
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+19 0 2 0 0 43 48 64 -0.288447701840928
+19 0 2 0 0 44 48 64 -0.320996943265514
+19 0 2 0 0 45 48 64 -0.349947857088531
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 0.333035136935545
+20 0 2 0 0 28 48 64 0.301140717128451
+20 0 2 0 0 29 48 64 0.265991967270471
+20 0 2 0 0 30 48 64 0.228917270389827
+20 0 2 0 0 31 48 64 0.188798026696519
+20 0 2 0 0 32 48 64 0.146921833370521
+20 0 2 0 0 33 48 64 0.103319993073167
+20 0 2 0 0 34 48 64 0.0585366010503266
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+20 0 2 0 0 36 48 64 -0.0322228453468568
+20 0 2 0 0 37 48 64 -0.0773366340282938
+20 0 2 0 0 38 48 64 -0.121423816542102
+20 0 2 0 0 39 48 64 -0.164568717405545
+20 0 2 0 0 40 48 64 -0.205284530724741
+20 0 2 0 0 41 48 64 -0.244760579737884
+20 0 2 0 0 42 48 64 -0.280120392333995
+20 0 2 0 0 43 48 64 -0.314412017139013
+20 0 2 0 0 44 48 64 -0.344168671825799
+20 0 2 0 0 45 48 64 -0.37015040110848
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0.429121571856526
+20 0 1 0 0 20 48 64 0.441540094571765
+20 0 1 0 0 22 48 64 0.429791252849462
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+20 0 1 0 0 28 48 64 0.301140717128451
+20 0 1 0 0 30 48 64 0.228917270389827
+20 0 1 0 0 32 48 64 0.146921833370521
+20 0 1 0 0 34 48 64 0.0585366010503266
+20 0 1 0 0 36 48 64 -0.0322228453468568
+20 0 1 0 0 38 48 64 -0.121423816542102
+20 0 1 0 0 40 48 64 -0.205284530724741
+20 0 1 0 0 42 48 64 -0.280120392333995
+20 0 1 0 0 44 48 64 -0.344168671825799
+20 0 1 0 0 46 48 64 -0.392039937043213
+20 0 1 0 0 48 48 64 -0.423343710230766
+20 0 1 0 0 50 48 64 -0.437132154082352
+20 0 1 0 0 52 48 64 -0.437104074992237
+20 0 1 0 0 54 48 64 -0.411201648572005
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -0.234954485803384
+20 0 0 0 0 4 48 64 -0.0617960557254878
+20 0 0 0 0 8 48 64 0.121999896650796
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+20 0 0 0 0 20 48 64 0.441540094571765
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+20 0 0 0 0 28 48 64 0.301140717128451
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+20 0 0 0 0 36 48 64 -0.0322228453468568
+20 0 0 0 0 40 48 64 -0.205284530724741
+20 0 0 0 0 44 48 64 -0.344168671825799
+20 0 0 0 0 48 48 64 -0.423343710230766
+20 0 0 0 0 52 48 64 -0.437104074992237
+20 0 0 0 0 56 48 64 -0.367140549038673
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+20 0 0 0 0 64 48 64 -0.0617960557254878
+20 0 0 0 0 68 48 64 0.121999896650796
+20 0 0 0 0 72 48 64 0.284668319445805
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 0.309003036179233
+21 0 2 0 0 28 48 64 0.274411583057177
+21 0 2 0 0 29 48 64 0.236798238040089
+21 0 2 0 0 30 48 64 0.19780916016644
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+21 0 2 0 0 32 48 64 0.112838548637857
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+21 0 2 0 0 36 48 64 -0.0677500155041685
+21 0 2 0 0 37 48 64 -0.112265355406333
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+21 0 2 0 0 39 48 64 -0.197172429622631
+21 0 2 0 0 40 48 64 -0.236075356789777
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+21 0 2 0 0 42 48 64 -0.306432218906413
+21 0 2 0 0 43 48 64 -0.338263495433084
+21 0 2 0 0 44 48 64 -0.364876474386827
+21 0 2 0 0 45 48 64 -0.387744573082834
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 0.282708767327214
+22 0 2 0 0 28 48 64 0.245642412824808
+22 0 2 0 0 29 48 64 0.205996618821947
+22 0 2 0 0 30 48 64 0.165354262120644
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+22 0 2 0 0 39 48 64 -0.228461029873022
+22 0 2 0 0 40 48 64 -0.265268862208556
+22 0 2 0 0 41 48 64 -0.300649507103266
+22 0 2 0 0 42 48 64 -0.330669453645467
+22 0 2 0 0 43 48 64 -0.359838203100725
+22 0 2 0 0 44 48 64 -0.383278534885523
+22 0 2 0 0 45 48 64 -0.402867304914504
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 0.441489450239795
+22 0 1 0 0 20 48 64 0.438977531893734
+22 0 1 0 0 22 48 64 0.411534861160887
+22 0 1 0 0 24 48 64 0.370834190313155
+22 0 1 0 0 26 48 64 0.316537217292104
+22 0 1 0 0 28 48 64 0.245642412824808
+22 0 1 0 0 30 48 64 0.165354262120644
+22 0 1 0 0 32 48 64 0.0779870335068694
+22 0 1 0 0 34 48 64 -0.0127934755994524
+22 0 1 0 0 36 48 64 -0.102814638426952
+22 0 1 0 0 38 48 64 -0.188167562069166
+22 0 1 0 0 40 48 64 -0.265268862208556
+22 0 1 0 0 42 48 64 -0.330669453645467
+22 0 1 0 0 44 48 64 -0.383278534885523
+22 0 1 0 0 46 48 64 -0.418055603086187
+22 0 1 0 0 48 48 64 -0.435389770023678
+22 0 1 0 0 50 48 64 -0.434594788445937
+22 0 1 0 0 52 48 64 -0.420430740982592
+22 0 1 0 0 54 48 64 -0.380464024657473
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 0.254673107135569
+23 0 2 0 0 28 48 64 0.215392861039694
+23 0 2 0 0 29 48 64 0.17380001765135
+23 0 2 0 0 30 48 64 0.131770403998458
+23 0 2 0 0 31 48 64 0.0872270146809531
+23 0 2 0 0 32 48 64 0.042598850485338
+23 0 2 0 0 33 48 64 -0.0031493215648717
+23 0 2 0 0 34 48 64 -0.0484404569548616
+23 0 2 0 0 35 48 64 -0.0933986381127961
+23 0 2 0 0 36 48 64 -0.137179270829701
+23 0 2 0 0 37 48 64 -0.179654266927552
+23 0 2 0 0 38 48 64 -0.219747665895254
+23 0 2 0 0 39 48 64 -0.258219590745416
+23 0 2 0 0 40 48 64 -0.292666508058862
+23 0 2 0 0 41 48 64 -0.325642874054789
+23 0 2 0 0 42 48 64 -0.352673003086396
+23 0 2 0 0 43 48 64 -0.37898825404383
+23 0 2 0 0 44 48 64 -0.399001903274136
+23 0 2 0 0 45 48 64 -0.41521599983112
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 0.22471460798475
+24 0 2 0 0 28 48 64 0.183476376165719
+24 0 2 0 0 29 48 64 0.140427108501525
+24 0 2 0 0 30 48 64 0.0972825620515073
+24 0 2 0 0 31 48 64 0.0518537898277709
+24 0 2 0 0 32 48 64 0.00690875650120941
+24 0 2 0 0 33 48 64 -0.0389542765491126
+24 0 2 0 0 34 48 64 -0.0837588325941442
+24 0 2 0 0 35 48 64 -0.128046334784961
+24 0 2 0 0 36 48 64 -0.170613647350069
+24 0 2 0 0 37 48 64 -0.211667445614042
+24 0 2 0 0 38 48 64 -0.249846478510366
+24 0 2 0 0 39 48 64 -0.286243494024629
+24 0 2 0 0 40 48 64 -0.318084150236597
+24 0 2 0 0 41 48 64 -0.348433626203445
+24 0 2 0 0 42 48 64 -0.372300886393011
+24 0 2 0 0 43 48 64 -0.395588984743687
+24 0 2 0 0 44 48 64 -0.412170896235248
+24 0 2 0 0 45 48 64 -0.424882775982963
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 0.4425452500337
+24 0 1 0 0 20 48 64 0.424756199626041
+24 0 1 0 0 22 48 64 0.38217622547823
+24 0 1 0 0 24 48 64 0.328969239292402
+24 0 1 0 0 26 48 64 0.263377174349093
+24 0 1 0 0 28 48 64 0.183476376165719
+24 0 1 0 0 30 48 64 0.0972825620515073
+24 0 1 0 0 32 48 64 0.00690875650120941
+24 0 1 0 0 34 48 64 -0.0837588325941442
+24 0 1 0 0 36 48 64 -0.170613647350069
+24 0 1 0 0 38 48 64 -0.249846478510366
+24 0 1 0 0 40 48 64 -0.318084150236597
+24 0 1 0 0 42 48 64 -0.372300886393011
+24 0 1 0 0 44 48 64 -0.412170896235248
+24 0 1 0 0 46 48 64 -0.432995425743506
+24 0 1 0 0 48 48 64 -0.435943918990766
+24 0 1 0 0 50 48 64 -0.420572845312688
+24 0 1 0 0 52 48 64 -0.392275148968761
+24 0 1 0 0 54 48 64 -0.33878530207659
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -0.103465582184932
+24 0 0 0 0 4 48 64 0.0818160617264103
+24 0 0 0 0 8 48 64 0.252779366311182
+24 0 0 0 0 12 48 64 0.379968044853965
+24 0 0 0 0 16 48 64 0.44077700077253
+24 0 0 0 0 20 48 64 0.424756199626041
+24 0 0 0 0 24 48 64 0.328969239292402
+24 0 0 0 0 28 48 64 0.183476376165719
+24 0 0 0 0 32 48 64 0.00690875650120941
+24 0 0 0 0 36 48 64 -0.170613647350069
+24 0 0 0 0 40 48 64 -0.318084150236597
+24 0 0 0 0 44 48 64 -0.412170896235248
+24 0 0 0 0 48 48 64 -0.435943918990766
+24 0 0 0 0 52 48 64 -0.392275148968761
+24 0 0 0 0 56 48 64 -0.270005707332115
+24 0 0 0 0 60 48 64 -0.103465582184932
+24 0 0 0 0 64 48 64 0.0818160617264103
+24 0 0 0 0 68 48 64 0.252779366311182
+24 0 0 0 0 72 48 64 0.379968044853965
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.yl
new file mode 100644
index 000000000..a807badd8
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.yl
@@ -0,0 +1,1397 @@
+# HYDROTOY::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0.347660017183331
+0 0 2 0 0 36 40 64 0.365340600494136
+0 0 2 0 0 36 41 64 0.38115949184838
+0 0 2 0 0 36 42 64 0.395036081801737
+0 0 2 0 0 36 43 64 0.406899658432603
+0 0 2 0 0 36 44 64 0.416689767673843
+0 0 2 0 0 36 45 64 0.424356521372857
+0 0 2 0 0 36 46 64 0.429860851510172
+0 0 2 0 0 36 47 64 0.433174709281113
+0 0 2 0 0 36 48 64 0.434281208026084
+0 0 2 0 0 36 49 64 0.433174709281113
+0 0 2 0 0 36 50 64 0.429860851510172
+0 0 2 0 0 36 51 64 0.424356521372857
+0 0 2 0 0 36 52 64 0.416689767673843
+0 0 2 0 0 36 53 64 0.406899658432603
+0 0 2 0 0 36 54 64 0.395036081801737
+0 0 2 0 0 36 55 64 0.38115949184838
+0 0 2 0 0 36 56 64 0.365340600494136
+0 0 2 0 0 36 57 64 0.347660017183331
+0 0 2 0 0 36 58 64 0.328207838115765
+0 0 2 0 0 36 59 64 0.307083187137129
+0 0 2 0 0 36 60 64 0.284393710626605
+0 0 2 0 0 36 61 64 0.260255028955599
+0 0 2 0 0 36 62 64 0.234790147312825
+0 0 2 0 0 36 63 64 0.208128828898062
+0 0 2 0 0 36 64 64 0.180406933678629
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 -1.99843460817814e-15
+0 0 1 0 0 36 28 64 0.0618046598853572
+0 0 1 0 0 36 30 64 0.122351155125372
+0 0 1 0 0 36 32 64 0.180406933678629
+0 0 1 0 0 36 34 64 0.234790147312825
+0 0 1 0 0 36 36 64 0.284393710626606
+0 0 1 0 0 36 38 64 0.328207838115765
+0 0 1 0 0 36 40 64 0.365340600494136
+0 0 1 0 0 36 42 64 0.395036081801737
+0 0 1 0 0 36 44 64 0.416689767673843
+0 0 1 0 0 36 46 64 0.429860851510172
+0 0 1 0 0 36 48 64 0.434281208026084
+0 0 1 0 0 36 50 64 0.429860851510172
+0 0 1 0 0 36 52 64 0.416689767673843
+0 0 1 0 0 36 54 64 0.395036081801737
+0 0 1 0 0 36 56 64 0.365340600494136
+0 0 1 0 0 36 58 64 0.328207838115765
+0 0 1 0 0 36 60 64 0.284393710626605
+0 0 1 0 0 36 62 64 0.234790147312825
+0 0 1 0 0 36 64 64 0.180406933678629
+0 0 1 0 0 36 66 64 0.122351155125372
+0 0 1 0 0 36 68 64 0.0618046598853571
+0 0 1 0 0 36 70 64 -2.09486440744066e-15
+0 0 1 0 0 36 72 64 -0.0618046598853614
+0 0 1 0 0 36 74 64 -0.122351155125376
+0 0 1 0 0 36 76 64 -0.180406933678633
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -0.416689767673842
+0 0 0 0 0 36 4 64 -0.434281208026084
+0 0 0 0 0 36 8 64 -0.416689767673844
+0 0 0 0 0 36 12 64 -0.365340600494138
+0 0 0 0 0 36 16 64 -0.284393710626609
+0 0 0 0 0 36 20 64 -0.180406933678633
+0 0 0 0 0 36 24 64 -0.0618046598853613
+0 0 0 0 0 36 28 64 0.0618046598853572
+0 0 0 0 0 36 32 64 0.180406933678629
+0 0 0 0 0 36 36 64 0.284393710626606
+0 0 0 0 0 36 40 64 0.365340600494136
+0 0 0 0 0 36 44 64 0.416689767673843
+0 0 0 0 0 36 48 64 0.434281208026084
+0 0 0 0 0 36 52 64 0.416689767673843
+0 0 0 0 0 36 56 64 0.365340600494136
+0 0 0 0 0 36 60 64 0.284393710626605
+0 0 0 0 0 36 64 64 0.180406933678629
+0 0 0 0 0 36 68 64 0.0618046598853571
+0 0 0 0 0 36 72 64 -0.0618046598853614
+0 0 0 0 0 36 76 64 -0.180406933678633
+0 0 0 0 0 36 80 64 -0.284393710626609
+0 0 0 0 0 36 84 64 -0.365340600494138
+0 0 0 0 0 36 88 64 -0.416689767673844
+0 0 0 0 0 36 92 64 -0.434281208026084
+0 0 0 0 0 36 96 64 -0.416689767673842
+0 0 0 0 0 36 100 64 -0.365340600494133
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 0.367813566414569
+1 0 2 0 0 36 40 64 0.38335316623265
+1 0 2 0 0 36 41 64 0.397342643228325
+1 0 2 0 0 36 42 64 0.408522342323331
+1 0 2 0 0 36 43 64 0.417993494850795
+1 0 2 0 0 36 44 64 0.425334648341179
+1 0 2 0 0 36 45 64 0.430508393959041
+1 0 2 0 0 36 46 64 0.43348836748264
+1 0 2 0 0 36 47 64 0.434259383649971
+1 0 2 0 0 36 48 64 0.432817513539377
+1 0 2 0 0 36 49 64 0.429170104590437
+1 0 2 0 0 36 50 64 0.423335743163093
+1 0 2 0 0 36 51 64 0.415344159825823
+1 0 2 0 0 36 52 64 0.40523607785548
+1 0 2 0 0 36 53 64 0.393063005720805
+1 0 2 0 0 36 54 64 0.378886974607078
+1 0 2 0 0 36 55 64 0.362780222319418
+1 0 2 0 0 36 56 64 0.344824825175484
+1 0 2 0 0 36 57 64 0.325112279763378
+1 0 2 0 0 36 58 64 0.303743036695999
+1 0 2 0 0 36 59 64 0.28082598873775
+1 0 2 0 0 36 60 64 0.256477915911969
+1 0 2 0 0 36 61 64 0.230822890416698
+1 0 2 0 0 36 62 64 0.203832180226542
+1 0 2 0 0 36 63 64 0.176215535216047
+1 0 2 0 0 36 64 64 0.147451199170928
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 0.38564729261212
+2 0 2 0 0 36 40 64 0.39892259803025
+2 0 2 0 0 36 41 64 0.410856048779277
+2 0 2 0 0 36 42 64 0.419209424054804
+2 0 2 0 0 36 43 64 0.426276837004168
+2 0 2 0 0 36 44 64 0.431107763331924
+2 0 2 0 0 36 45 64 0.433753525492956
+2 0 2 0 0 36 46 64 0.43418897911328
+2 0 2 0 0 36 47 64 0.43241190522106
+2 0 2 0 0 36 48 64 0.42843135937751
+2 0 2 0 0 36 49 64 0.422267625531826
+2 0 2 0 0 36 50 64 0.413952112658831
+2 0 2 0 0 36 51 64 0.403527194706039
+2 0 2 0 0 36 52 64 0.391045994665734
+2 0 2 0 0 36 53 64 0.376572113872373
+2 0 2 0 0 36 54 64 0.360179307904769
+2 0 2 0 0 36 55 64 0.341951110744567
+2 0 2 0 0 36 56 64 0.321980409106217
+2 0 2 0 0 36 57 64 0.300368969107574
+2 0 2 0 0 36 58 64 0.277226917693087
+2 0 2 0 0 36 59 64 0.25267218145213
+2 0 2 0 0 36 60 64 0.226824902437306
+2 0 2 0 0 36 61 64 0.199815710233799
+2 0 2 0 0 36 62 64 0.171567199068153
+2 0 2 0 0 36 63 64 0.142889103550853
+2 0 2 0 0 36 64 64 0.113265850684095
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 0.0703439898524511
+2 0 1 0 0 36 28 64 0.130653574550449
+2 0 1 0 0 36 30 64 0.189567498607748
+2 0 1 0 0 36 32 64 0.24271998099118
+2 0 1 0 0 36 34 64 0.291509860138235
+2 0 1 0 0 36 36 64 0.334365439177894
+2 0 1 0 0 36 38 64 0.370414302106194
+2 0 1 0 0 36 40 64 0.39892259803025
+2 0 1 0 0 36 42 64 0.419209424054804
+2 0 1 0 0 36 44 64 0.431107763331924
+2 0 1 0 0 36 46 64 0.43418897911328
+2 0 1 0 0 36 48 64 0.42843135937751
+2 0 1 0 0 36 50 64 0.413952112658831
+2 0 1 0 0 36 52 64 0.391045994665734
+2 0 1 0 0 36 54 64 0.360179307904769
+2 0 1 0 0 36 56 64 0.321980409106217
+2 0 1 0 0 36 58 64 0.277226917693087
+2 0 1 0 0 36 60 64 0.226824902437306
+2 0 1 0 0 36 62 64 0.171567199068153
+2 0 1 0 0 36 64 64 0.113265850684095
+2 0 1 0 0 36 66 64 0.0524389356134676
+2 0 1 0 0 36 68 64 -0.00945548496484734
+2 0 1 0 0 36 70 64 -0.0711574191366449
+2 0 1 0 0 36 72 64 -0.13061642591382
+2 0 1 0 0 36 74 64 -0.188263370629632
+2 0 1 0 0 36 76 64 -0.242098398209849
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0.400750008105905
+3 0 2 0 0 36 40 64 0.411674290743992
+3 0 2 0 0 36 41 64 0.421577318046452
+3 0 2 0 0 36 42 64 0.427034830854303
+3 0 2 0 0 36 43 64 0.431717924444678
+3 0 2 0 0 36 44 64 0.433967606541536
+3 0 2 0 0 36 45 64 0.434070353323866
+3 0 2 0 0 36 46 64 0.431957926347435
+3 0 2 0 0 36 47 64 0.427644705234967
+3 0 2 0 0 36 48 64 0.421152304729559
+3 0 2 0 0 36 49 64 0.412513808615993
+3 0 2 0 0 36 50 64 0.401773236690344
+3 0 2 0 0 36 51 64 0.388985320445186
+3 0 2 0 0 36 52 64 0.374215224170453
+3 0 2 0 0 36 53 64 0.35753821289115
+3 0 2 0 0 36 54 64 0.339039268834044
+3 0 2 0 0 36 55 64 0.318812658377712
+3 0 2 0 0 36 56 64 0.296961451692688
+3 0 2 0 0 36 57 64 0.273596997519492
+3 0 2 0 0 36 58 64 0.248838200034265
+3 0 2 0 0 36 59 64 0.222810597954575
+3 0 2 0 0 36 60 64 0.195629894806635
+3 0 2 0 0 36 61 64 0.167440161568292
+3 0 2 0 0 36 62 64 0.138197483293815
+3 0 2 0 0 36 63 64 0.108721691823289
+3 0 2 0 0 36 64 64 0.0785844232104171
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0.413245078430099
+4 0 2 0 0 36 40 64 0.421733112754857
+4 0 2 0 0 36 41 64 0.429413743962827
+4 0 2 0 0 36 42 64 0.431952035799124
+4 0 2 0 0 36 43 64 0.434296463058281
+4 0 2 0 0 36 44 64 0.433890386108
+4 0 2 0 0 36 45 64 0.431459297243664
+4 0 2 0 0 36 46 64 0.426810110635343
+4 0 2 0 0 36 47 64 0.419989925125791
+4 0 2 0 0 36 48 64 0.411029426828164
+4 0 2 0 0 36 49 64 0.399974428176639
+4 0 2 0 0 36 50 64 0.386881251521467
+4 0 2 0 0 36 51 64 0.371816616689659
+4 0 2 0 0 36 52 64 0.354857289607193
+4 0 2 0 0 36 53 64 0.336089691117457
+4 0 2 0 0 36 54 64 0.315609456600436
+4 0 2 0 0 36 55 64 0.293520948636738
+4 0 2 0 0 36 56 64 0.269936720333349
+4 0 2 0 0 36 57 64 0.244976913416123
+4 0 2 0 0 36 58 64 0.218767557936851
+4 0 2 0 0 36 59 64 0.191440732789211
+4 0 2 0 0 36 60 64 0.16310098433278
+4 0 2 0 0 36 61 64 0.133921913112964
+4 0 2 0 0 36 62 64 0.103950266330042
+4 0 2 0 0 36 63 64 0.0737709116299035
+4 0 2 0 0 36 64 64 0.0431624050857985
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0.14084446143139
+4 0 1 0 0 36 28 64 0.198027091420972
+4 0 1 0 0 36 30 64 0.252179375696328
+4 0 1 0 0 36 32 64 0.298437297091646
+4 0 1 0 0 36 34 64 0.340409197119966
+4 0 1 0 0 36 36 64 0.375342390722267
+4 0 1 0 0 36 38 64 0.402649630629678
+4 0 1 0 0 36 40 64 0.421733112754857
+4 0 1 0 0 36 42 64 0.431952035799124
+4 0 1 0 0 36 44 64 0.433890386108
+4 0 1 0 0 36 46 64 0.426810110635343
+4 0 1 0 0 36 48 64 0.411029426828164
+4 0 1 0 0 36 50 64 0.386881251521467
+4 0 1 0 0 36 52 64 0.354857289607193
+4 0 1 0 0 36 54 64 0.315609456600436
+4 0 1 0 0 36 56 64 0.269936720333349
+4 0 1 0 0 36 58 64 0.218767557936851
+4 0 1 0 0 36 60 64 0.16310098433278
+4 0 1 0 0 36 62 64 0.103950266330042
+4 0 1 0 0 36 64 64 0.0431624050857985
+4 0 1 0 0 36 66 64 -0.018911292556989
+4 0 1 0 0 36 68 64 -0.080454840255729
+4 0 1 0 0 36 70 64 -0.140320055798339
+4 0 1 0 0 36 72 64 -0.195484673423327
+4 0 1 0 0 36 74 64 -0.251117745439173
+4 0 1 0 0 36 76 64 -0.29917337139087
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 -0.434734210686685
+4 0 0 0 0 36 4 64 -0.411725364080886
+4 0 0 0 0 36 8 64 -0.355360977102279
+4 0 0 0 0 36 12 64 -0.270207357171949
+4 0 0 0 0 36 16 64 -0.163163144148577
+4 0 0 0 0 36 20 64 -0.0429004235548697
+4 0 0 0 0 36 24 64 0.0808378342166104
+4 0 0 0 0 36 28 64 0.198027091420972
+4 0 0 0 0 36 32 64 0.298437297091646
+4 0 0 0 0 36 36 64 0.375342390722267
+4 0 0 0 0 36 40 64 0.421733112754857
+4 0 0 0 0 36 44 64 0.433890386108
+4 0 0 0 0 36 48 64 0.411029426828164
+4 0 0 0 0 36 52 64 0.354857289607193
+4 0 0 0 0 36 56 64 0.269936720333349
+4 0 0 0 0 36 60 64 0.16310098433278
+4 0 0 0 0 36 64 64 0.0431624050857985
+4 0 0 0 0 36 68 64 -0.080454840255729
+4 0 0 0 0 36 72 64 -0.195484673423327
+4 0 0 0 0 36 76 64 -0.29917337139087
+4 0 0 0 0 36 80 64 -0.376082404063224
+4 0 0 0 0 36 84 64 -0.422523477006553
+4 0 0 0 0 36 88 64 -0.434734210686685
+4 0 0 0 0 36 92 64 -0.411725364080886
+4 0 0 0 0 36 96 64 -0.355360977102279
+4 0 0 0 0 36 100 64 -0.270207357171949
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0.422855058898574
+5 0 2 0 0 36 40 64 0.428829635769532
+5 0 2 0 0 36 41 64 0.434290083068698
+5 0 2 0 0 36 42 64 0.433942267254891
+5 0 2 0 0 36 43 64 0.434003855671127
+5 0 2 0 0 36 44 64 0.430871472205293
+5 0 2 0 0 36 45 64 0.425943574307487
+5 0 2 0 0 36 46 64 0.418779711258063
+5 0 2 0 0 36 47 64 0.409499338216268
+5 0 2 0 0 36 48 64 0.398130985176334
+5 0 2 0 0 36 49 64 0.384734053194433
+5 0 2 0 0 36 50 64 0.369376599066006
+5 0 2 0 0 36 51 64 0.352136886813233
+5 0 2 0 0 36 52 64 0.333102765702384
+5 0 2 0 0 36 53 64 0.312371229251342
+5 0 2 0 0 36 54 64 0.290047920466038
+5 0 2 0 0 36 55 64 0.26624659204146
+5 0 2 0 0 36 56 64 0.241088464426799
+5 0 2 0 0 36 57 64 0.21470156609071
+5 0 2 0 0 36 58 64 0.187216292562911
+5 0 2 0 0 36 59 64 0.158771759137
+5 0 2 0 0 36 60 64 0.129462394101565
+5 0 2 0 0 36 61 64 0.099492948799418
+5 0 2 0 0 36 62 64 0.0690574414358041
+5 0 2 0 0 36 63 64 0.0385213455499006
+5 0 2 0 0 36 64 64 0.00769890270701742
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0.429645899862006
+6 0 2 0 0 36 40 64 0.433053669219121
+6 0 2 0 0 36 41 64 0.436172727245
+6 0 2 0 0 36 42 64 0.433000215464868
+6 0 2 0 0 36 43 64 0.430837684058897
+6 0 2 0 0 36 44 64 0.424926812744102
+6 0 2 0 0 36 45 64 0.417568940283446
+6 0 2 0 0 36 46 64 0.407919678872793
+6 0 2 0 0 36 47 64 0.396244326340379
+6 0 2 0 0 36 48 64 0.382543933581744
+6 0 2 0 0 36 49 64 0.366895484841289
+6 0 2 0 0 36 50 64 0.349377349716012
+6 0 2 0 0 36 51 64 0.330078877405021
+6 0 2 0 0 36 52 64 0.309098398582461
+6 0 2 0 0 36 53 64 0.286542825099867
+6 0 2 0 0 36 54 64 0.262527091714485
+6 0 2 0 0 36 55 64 0.237173564341173
+6 0 2 0 0 36 56 64 0.210611095919684
+6 0 2 0 0 36 57 64 0.182974666635288
+6 0 2 0 0 36 58 64 0.154395466905076
+6 0 2 0 0 36 59 64 0.125022001716644
+6 0 2 0 0 36 60 64 0.0949484625110372
+6 0 2 0 0 36 61 64 0.0644042373712699
+6 0 2 0 0 36 62 64 0.0337473408762937
+6 0 2 0 0 36 63 64 0.00283374446471012
+6 0 2 0 0 36 64 64 -0.0280391193915189
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0.205916837449536
+6 0 1 0 0 36 28 64 0.258465400073283
+6 0 1 0 0 36 30 64 0.308390677347601
+6 0 1 0 0 36 32 64 0.346120033028418
+6 0 1 0 0 36 34 64 0.380244786170709
+6 0 1 0 0 36 36 64 0.4062168645141
+6 0 1 0 0 36 38 64 0.424036056254411
+6 0 1 0 0 36 40 64 0.433053669219121
+6 0 1 0 0 36 42 64 0.433000215464868
+6 0 1 0 0 36 44 64 0.424926812744102
+6 0 1 0 0 36 46 64 0.407919678872793
+6 0 1 0 0 36 48 64 0.382543933581744
+6 0 1 0 0 36 50 64 0.349377349716012
+6 0 1 0 0 36 52 64 0.309098398582461
+6 0 1 0 0 36 54 64 0.262527091714485
+6 0 1 0 0 36 56 64 0.210611095919684
+6 0 1 0 0 36 58 64 0.154395466905076
+6 0 1 0 0 36 60 64 0.0949484625110372
+6 0 1 0 0 36 62 64 0.0337473408762937
+6 0 1 0 0 36 64 64 -0.0280391193915189
+6 0 1 0 0 36 66 64 -0.0897817949364614
+6 0 1 0 0 36 68 64 -0.149198102147098
+6 0 1 0 0 36 70 64 -0.205693198483574
+6 0 1 0 0 36 72 64 -0.254907327426771
+6 0 1 0 0 36 74 64 -0.303973155219985
+6 0 1 0 0 36 76 64 -0.346696931649922
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 0.433478818475239
+7 0 2 0 0 36 40 64 0.434273355127741
+7 0 2 0 0 36 41 64 0.435044303382679
+7 0 2 0 0 36 42 64 0.429140832239875
+7 0 2 0 0 36 43 64 0.424805336525447
+7 0 2 0 0 36 44 64 0.416094117740989
+7 0 2 0 0 36 45 64 0.406402053108739
+7 0 2 0 0 36 46 64 0.394301226618114
+7 0 2 0 0 36 47 64 0.38031586617016
+7 0 2 0 0 36 48 64 0.364373268176164
+7 0 2 0 0 36 49 64 0.346579098833632
+7 0 2 0 0 36 50 64 0.327018406462887
+7 0 2 0 0 36 51 64 0.305791386022378
+7 0 2 0 0 36 52 64 0.283006119033189
+7 0 2 0 0 36 53 64 0.258778717181862
+7 0 2 0 0 36 54 64 0.233232613736268
+7 0 2 0 0 36 55 64 0.206497940329559
+7 0 2 0 0 36 56 64 0.178709786144474
+7 0 2 0 0 36 57 64 0.150009343439902
+7 0 2 0 0 36 58 64 0.12052519895749
+7 0 2 0 0 36 59 64 0.0904186703963865
+7 0 2 0 0 36 60 64 0.0598047081974233
+7 0 2 0 0 36 61 64 0.0288983762951675
+7 0 2 0 0 36 62 64 -0.00174530686518302
+7 0 2 0 0 36 63 64 -0.0325740921387936
+7 0 2 0 0 36 64 64 -0.0633515268610455
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 0.434372840272355
+8 0 2 0 0 36 40 64 0.432532646154021
+8 0 2 0 0 36 41 64 0.430927570611667
+8 0 2 0 0 36 42 64 0.422391724630785
+8 0 2 0 0 36 43 64 0.41592422891748
+8 0 2 0 0 36 44 64 0.404433247055529
+8 0 2 0 0 36 45 64 0.392527854082446
+8 0 2 0 0 36 46 64 0.378013440941589
+8 0 2 0 0 36 47 64 0.361824387926251
+8 0 2 0 0 36 48 64 0.343741214330307
+8 0 2 0 0 36 49 64 0.323922125276627
+8 0 2 0 0 36 50 64 0.302450594342216
+8 0 2 0 0 36 51 64 0.279438267762097
+8 0 2 0 0 36 52 64 0.255001958231656
+8 0 2 0 0 36 53 64 0.229266216250783
+8 0 2 0 0 36 54 64 0.202362076426732
+8 0 2 0 0 36 55 64 0.174426533651767
+8 0 2 0 0 36 56 64 0.145599056062501
+8 0 2 0 0 36 57 64 0.116026780087761
+8 0 2 0 0 36 58 64 0.0858341736116989
+8 0 2 0 0 36 59 64 0.0551971706071003
+8 0 2 0 0 36 60 64 0.0242795178040284
+8 0 2 0 0 36 61 64 -0.00676388477716365
+8 0 2 0 0 36 62 64 -0.0371959087893544
+8 0 2 0 0 36 63 64 -0.0680604874485249
+8 0 2 0 0 36 64 64 -0.0984716978178172
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0.267330634381912
+8 0 1 0 0 36 28 64 0.313788437315263
+8 0 1 0 0 36 30 64 0.356530095967397
+8 0 1 0 0 36 32 64 0.384450277333466
+8 0 1 0 0 36 34 64 0.410000319025514
+8 0 1 0 0 36 36 64 0.426141158566491
+8 0 1 0 0 36 38 64 0.433986680467815
+8 0 1 0 0 36 40 64 0.432532646154021
+8 0 1 0 0 36 42 64 0.422391724630785
+8 0 1 0 0 36 44 64 0.404433247055529
+8 0 1 0 0 36 46 64 0.378013440941589
+8 0 1 0 0 36 48 64 0.343741214330307
+8 0 1 0 0 36 50 64 0.302450594342216
+8 0 1 0 0 36 52 64 0.255001958231656
+8 0 1 0 0 36 54 64 0.202362076426732
+8 0 1 0 0 36 56 64 0.145599056062501
+8 0 1 0 0 36 58 64 0.0858341736116989
+8 0 1 0 0 36 60 64 0.0242795178040284
+8 0 1 0 0 36 62 64 -0.0371959087893544
+8 0 1 0 0 36 64 64 -0.0984716978178172
+8 0 1 0 0 36 66 64 -0.158245723655572
+8 0 1 0 0 36 68 64 -0.213769972707794
+8 0 1 0 0 36 70 64 -0.26539076924557
+8 0 1 0 0 36 72 64 -0.307466275409382
+8 0 1 0 0 36 74 64 -0.351949337613331
+8 0 1 0 0 36 76 64 -0.386314052844263
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 -0.406533838434933
+8 0 0 0 0 36 4 64 -0.345214503330214
+8 0 0 0 0 36 8 64 -0.255927942235384
+8 0 0 0 0 36 12 64 -0.145907621322717
+8 0 0 0 0 36 16 64 -0.0240667326765224
+8 0 0 0 0 36 20 64 0.0997238995207541
+8 0 0 0 0 36 24 64 0.215412492137875
+8 0 0 0 0 36 28 64 0.313788437315263
+8 0 0 0 0 36 32 64 0.384450277333466
+8 0 0 0 0 36 36 64 0.426141158566491
+8 0 0 0 0 36 40 64 0.432532646154021
+8 0 0 0 0 36 44 64 0.404433247055529
+8 0 0 0 0 36 48 64 0.343741214330307
+8 0 0 0 0 36 52 64 0.255001958231656
+8 0 0 0 0 36 56 64 0.145599056062501
+8 0 0 0 0 36 60 64 0.0242795178040284
+8 0 0 0 0 36 64 64 -0.0984716978178172
+8 0 0 0 0 36 68 64 -0.213769972707794
+8 0 0 0 0 36 72 64 -0.307466275409382
+8 0 0 0 0 36 76 64 -0.386314052844263
+8 0 0 0 0 36 80 64 -0.427988662799813
+8 0 0 0 0 36 84 64 -0.434918219699489
+8 0 0 0 0 36 88 64 -0.406533838434933
+8 0 0 0 0 36 92 64 -0.345214503330214
+8 0 0 0 0 36 96 64 -0.255927942235384
+8 0 0 0 0 36 100 64 -0.145907621322717
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 0.432321501168764
+9 0 2 0 0 36 40 64 0.427846303559351
+9 0 2 0 0 36 41 64 0.423858044079535
+9 0 2 0 0 36 42 64 0.412795789556463
+9 0 2 0 0 36 43 64 0.404227572685189
+9 0 2 0 0 36 44 64 0.39002584029396
+9 0 2 0 0 36 45 64 0.376046363886879
+9 0 2 0 0 36 46 64 0.359163037697731
+9 0 2 0 0 36 47 64 0.340899306434881
+9 0 2 0 0 36 48 64 0.32078627833161
+9 0 2 0 0 36 49 64 0.299077894852464
+9 0 2 0 0 36 50 64 0.27583963839014
+9 0 2 0 0 36 51 64 0.251197355273185
+9 0 2 0 0 36 52 64 0.225274875124315
+9 0 2 0 0 36 53 64 0.198204453839694
+9 0 2 0 0 36 54 64 0.170123667184693
+9 0 2 0 0 36 55 64 0.141175464849902
+9 0 2 0 0 36 56 64 0.111501439649974
+9 0 2 0 0 36 57 64 0.0812550203033052
+9 0 2 0 0 36 58 64 0.0505588292519683
+9 0 2 0 0 36 59 64 0.0196000975915147
+9 0 2 0 0 36 60 64 -0.0113746633420454
+9 0 2 0 0 36 61 64 -0.0423443967608772
+9 0 2 0 0 36 62 64 -0.0723715630013384
+9 0 2 0 0 36 63 64 -0.102721353679706
+9 0 2 0 0 36 64 64 -0.13270896780609
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 0.427310338760191
+10 0 2 0 0 36 40 64 0.420209406923267
+10 0 2 0 0 36 41 64 0.413904553885241
+10 0 2 0 0 36 42 64 0.400411763773032
+10 0 2 0 0 36 43 64 0.389768133676166
+10 0 2 0 0 36 44 64 0.372973970404396
+10 0 2 0 0 36 45 64 0.357069633428413
+10 0 2 0 0 36 46 64 0.337874224602926
+10 0 2 0 0 36 47 64 0.317688028605201
+10 0 2 0 0 36 48 64 0.295662211288235
+10 0 2 0 0 36 49 64 0.27221505887446
+10 0 2 0 0 36 50 64 0.247365032885297
+10 0 2 0 0 36 51 64 0.221259310159764
+10 0 2 0 0 36 52 64 0.194025502714529
+10 0 2 0 0 36 53 64 0.165803056191313
+10 0 2 0 0 36 54 64 0.136734759104073
+10 0 2 0 0 36 55 64 0.106968693632465
+10 0 2 0 0 36 56 64 0.0766462727585709
+10 0 2 0 0 36 57 64 0.0459279211053281
+10 0 2 0 0 36 58 64 0.0149423012470356
+10 0 2 0 0 36 59 64 -0.0161245764654625
+10 0 2 0 0 36 60 64 -0.0469110007117029
+10 0 2 0 0 36 61 64 -0.0775883122520762
+10 0 2 0 0 36 62 64 -0.107051260485374
+10 0 2 0 0 36 63 64 -0.137080675490334
+10 0 2 0 0 36 64 64 -0.166293558311113
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0.320086323017277
+10 0 1 0 0 36 28 64 0.359139727516071
+10 0 1 0 0 36 30 64 0.395082582395981
+10 0 1 0 0 36 32 64 0.412477300873572
+10 0 1 0 0 36 34 64 0.428949740074707
+10 0 1 0 0 36 36 64 0.434551155052228
+10 0 1 0 0 36 38 64 0.432231255513113
+10 0 1 0 0 36 40 64 0.420209406923267
+10 0 1 0 0 36 42 64 0.400411763773032
+10 0 1 0 0 36 44 64 0.372973970404396
+10 0 1 0 0 36 46 64 0.337874224602926
+10 0 1 0 0 36 48 64 0.295662211288235
+10 0 1 0 0 36 50 64 0.247365032885297
+10 0 1 0 0 36 52 64 0.194025502714529
+10 0 1 0 0 36 54 64 0.136734759104073
+10 0 1 0 0 36 56 64 0.0766462727585709
+10 0 1 0 0 36 58 64 0.0149423012470356
+10 0 1 0 0 36 60 64 -0.0469110007117029
+10 0 1 0 0 36 62 64 -0.107051260485374
+10 0 1 0 0 36 64 64 -0.166293558311113
+10 0 1 0 0 36 66 64 -0.222421455094509
+10 0 1 0 0 36 68 64 -0.272367323567512
+10 0 1 0 0 36 70 64 -0.317899879344502
+10 0 1 0 0 36 72 64 -0.3518948567857
+10 0 1 0 0 36 74 64 -0.387259110709446
+10 0 1 0 0 36 76 64 -0.414743925264241
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 0.419447640256245
+11 0 2 0 0 36 40 64 0.40977194017754
+11 0 2 0 0 36 41 64 0.40114304408373
+11 0 2 0 0 36 42 64 0.385312683694803
+11 0 2 0 0 36 43 64 0.372622474844027
+11 0 2 0 0 36 44 64 0.353398244150541
+11 0 2 0 0 36 45 64 0.335719478524477
+11 0 2 0 0 36 46 64 0.314288536923753
+11 0 2 0 0 36 47 64 0.292354310559842
+11 0 2 0 0 36 48 64 0.26853694471596
+11 0 2 0 0 36 49 64 0.24351675468482
+11 0 2 0 0 36 50 64 0.21721880593939
+11 0 2 0 0 36 51 64 0.189826424335937
+11 0 2 0 0 36 52 64 0.161464817264576
+11 0 2 0 0 36 53 64 0.132280751554729
+11 0 2 0 0 36 54 64 0.102420465062505
+11 0 2 0 0 36 55 64 0.0720365577105562
+11 0 2 0 0 36 56 64 0.0412686087939055
+11 0 2 0 0 36 57 64 0.0102842219780608
+11 0 2 0 0 36 58 64 -0.0207674309053518
+11 0 2 0 0 36 59 64 -0.0517259432111482
+11 0 2 0 0 36 60 64 -0.0820845709151323
+11 0 2 0 0 36 61 64 -0.112273131966783
+11 0 2 0 0 36 62 64 -0.141008865566358
+11 0 2 0 0 36 63 64 -0.170119946092403
+11 0 2 0 0 36 64 64 -0.198551487521802
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 0.408696265637202
+12 0 2 0 0 36 40 64 0.396483908678247
+12 0 2 0 0 36 41 64 0.385675350422451
+12 0 2 0 0 36 42 64 0.367593246884816
+12 0 2 0 0 36 43 64 0.352894214486911
+12 0 2 0 0 36 44 64 0.331435499466935
+12 0 2 0 0 36 45 64 0.312126446779555
+12 0 2 0 0 36 46 64 0.288564477563604
+12 0 2 0 0 36 47 64 0.26507596973519
+12 0 2 0 0 36 48 64 0.239591551821094
+12 0 2 0 0 36 49 64 0.213179645671059
+12 0 2 0 0 36 50 64 0.185604186855542
+12 0 2 0 0 36 51 64 0.15711138528182
+12 0 2 0 0 36 52 64 0.127812730971522
+12 0 2 0 0 36 53 64 0.0978639197141443
+12 0 2 0 0 36 54 64 0.0674121894728842
+12 0 2 0 0 36 55 64 0.0366143584054066
+12 0 2 0 0 36 56 64 0.00560819727477353
+12 0 2 0 0 36 57 64 -0.0254334443803905
+12 0 2 0 0 36 58 64 -0.0563198087020092
+12 0 2 0 0 36 59 64 -0.0869532433913974
+12 0 2 0 0 36 60 64 -0.116662256590963
+12 0 2 0 0 36 61 64 -0.146159943168716
+12 0 2 0 0 36 62 64 -0.174026040732159
+12 0 2 0 0 36 63 64 -0.202453539026409
+12 0 2 0 0 36 64 64 -0.229707416041852
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0.365697743209768
+12 0 1 0 0 36 28 64 0.396138095885988
+12 0 1 0 0 36 30 64 0.422942766309484
+12 0 1 0 0 36 32 64 0.429427157960137
+12 0 1 0 0 36 34 64 0.436594385013843
+12 0 1 0 0 36 36 64 0.4311885311223
+12 0 1 0 0 36 38 64 0.418830848519607
+12 0 1 0 0 36 40 64 0.396483908678247
+12 0 1 0 0 36 42 64 0.367593246884816
+12 0 1 0 0 36 44 64 0.331435499466935
+12 0 1 0 0 36 46 64 0.288564477563604
+12 0 1 0 0 36 48 64 0.239591551821094
+12 0 1 0 0 36 50 64 0.185604186855542
+12 0 1 0 0 36 52 64 0.127812730971522
+12 0 1 0 0 36 54 64 0.0674121894728842
+12 0 1 0 0 36 56 64 0.00560819727477353
+12 0 1 0 0 36 58 64 -0.0563198087020092
+12 0 1 0 0 36 60 64 -0.116662256590963
+12 0 1 0 0 36 62 64 -0.174026040732159
+12 0 1 0 0 36 64 64 -0.229707416041852
+12 0 1 0 0 36 66 64 -0.28053248065553
+12 0 1 0 0 36 68 64 -0.323416253202879
+12 0 1 0 0 36 70 64 -0.36171501058819
+12 0 1 0 0 36 72 64 -0.387103685512915
+12 0 1 0 0 36 74 64 -0.415645112857639
+12 0 1 0 0 36 76 64 -0.433080152146407
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 -0.334930965820826
+12 0 0 0 0 36 4 64 -0.241629337810503
+12 0 0 0 0 36 8 64 -0.128749855045699
+12 0 0 0 0 36 12 64 -0.00543982472995432
+12 0 0 0 0 36 16 64 0.118310189010964
+12 0 0 0 0 36 20 64 0.232486440235383
+12 0 0 0 0 36 24 64 0.327679381133465
+12 0 0 0 0 36 28 64 0.396138095885988
+12 0 0 0 0 36 32 64 0.429427157960137
+12 0 0 0 0 36 36 64 0.4311885311223
+12 0 0 0 0 36 40 64 0.396483908678247
+12 0 0 0 0 36 44 64 0.331435499466935
+12 0 0 0 0 36 48 64 0.239591551821094
+12 0 0 0 0 36 52 64 0.127812730971522
+12 0 0 0 0 36 56 64 0.00560819727477353
+12 0 0 0 0 36 60 64 -0.116662256590963
+12 0 0 0 0 36 64 64 -0.229707416041852
+12 0 0 0 0 36 68 64 -0.323416253202879
+12 0 0 0 0 36 72 64 -0.387103685512915
+12 0 0 0 0 36 76 64 -0.433080152146407
+12 0 0 0 0 36 80 64 -0.434335366015119
+12 0 0 0 0 36 84 64 -0.401087245060013
+12 0 0 0 0 36 88 64 -0.334930965820826
+12 0 0 0 0 36 92 64 -0.241629337810503
+12 0 0 0 0 36 96 64 -0.128749855045699
+12 0 0 0 0 36 100 64 -0.00543982472995432
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 0.395260794628372
+13 0 2 0 0 36 40 64 0.380607874361732
+13 0 2 0 0 36 41 64 0.367607059638018
+13 0 2 0 0 36 42 64 0.347363135662677
+13 0 2 0 0 36 43 64 0.330713283110544
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+13 0 2 0 0 36 45 64 0.286430237498793
+13 0 2 0 0 36 46 64 0.260876793743097
+13 0 2 0 0 36 47 64 0.236042109875164
+13 0 2 0 0 36 48 64 0.20901926388887
+13 0 2 0 0 36 49 64 0.181412731390146
+13 0 2 0 0 36 50 64 0.152734189062767
+13 0 2 0 0 36 51 64 0.12333600809208
+13 0 2 0 0 36 52 64 0.0932966071476417
+13 0 2 0 0 36 53 64 0.0627850956101566
+13 0 2 0 0 36 54 64 0.0319462046381489
+13 0 2 0 0 36 55 64 0.000941014939286108
+13 0 2 0 0 36 56 64 -0.0300915950067624
+13 0 2 0 0 36 57 64 -0.0609797262544247
+13 0 2 0 0 36 58 64 -0.091464767513337
+13 0 2 0 0 36 59 64 -0.121559310673963
+13 0 2 0 0 36 60 64 -0.150415589953783
+13 0 2 0 0 36 61 64 -0.1790455478672
+13 0 2 0 0 36 62 64 -0.205888513055886
+13 0 2 0 0 36 63 64 -0.233017644464004
+13 0 2 0 0 36 64 64 -0.25911567452684
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 0.379084969476924
+14 0 2 0 0 36 40 64 0.362056316582548
+14 0 2 0 0 36 41 64 0.347065854692692
+14 0 2 0 0 36 42 64 0.324758299998051
+14 0 2 0 0 36 43 64 0.306236510292026
+14 0 2 0 0 36 44 64 0.280965013542393
+14 0 2 0 0 36 45 64 0.258781277352641
+14 0 2 0 0 36 46 64 0.231415272079719
+14 0 2 0 0 36 47 64 0.205450156734808
+14 0 2 0 0 36 48 64 0.177024531996661
+14 0 2 0 0 36 49 64 0.148435812574252
+14 0 2 0 0 36 50 64 0.118830127520427
+14 0 2 0 0 36 51 64 0.0887299200917209
+14 0 2 0 0 36 52 64 0.0581496990264546
+14 0 2 0 0 36 53 64 0.0272814434570535
+14 0 2 0 0 36 54 64 -0.00373773651374605
+14 0 2 0 0 36 55 64 -0.0347422180321576
+14 0 2 0 0 36 56 64 -0.0655850740248212
+14 0 2 0 0 36 57 64 -0.0961081334234368
+14 0 2 0 0 36 58 64 -0.125955882141733
+14 0 2 0 0 36 59 64 -0.15530396870236
+14 0 2 0 0 36 60 64 -0.183130263135407
+14 0 2 0 0 36 61 64 -0.210708788968009
+14 0 2 0 0 36 62 64 -0.236382550121585
+14 0 2 0 0 36 63 64 -0.262470649217438
+14 0 2 0 0 36 64 64 -0.286991486091575
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0.400315736112123
+14 0 1 0 0 36 28 64 0.4212536990514
+14 0 1 0 0 36 30 64 0.439167193825273
+14 0 1 0 0 36 32 64 0.434893473537729
+14 0 1 0 0 36 34 64 0.432722378952266
+14 0 1 0 0 36 36 64 0.416119249279426
+14 0 1 0 0 36 38 64 0.394174071546818
+14 0 1 0 0 36 40 64 0.362056316582548
+14 0 1 0 0 36 42 64 0.324758299998051
+14 0 1 0 0 36 44 64 0.280965013542393
+14 0 1 0 0 36 46 64 0.231415272079719
+14 0 1 0 0 36 48 64 0.177024531996661
+14 0 1 0 0 36 50 64 0.118830127520427
+14 0 1 0 0 36 52 64 0.0581496990264546
+14 0 1 0 0 36 54 64 -0.00373773651374605
+14 0 1 0 0 36 56 64 -0.0655850740248212
+14 0 1 0 0 36 58 64 -0.125955882141733
+14 0 1 0 0 36 60 64 -0.183130263135407
+14 0 1 0 0 36 62 64 -0.236382550121585
+14 0 1 0 0 36 64 64 -0.286991486091575
+14 0 1 0 0 36 66 64 -0.330969874587954
+14 0 1 0 0 36 68 64 -0.365577365668261
+14 0 1 0 0 36 70 64 -0.395791528830777
+14 0 1 0 0 36 72 64 -0.412250347962806
+14 0 1 0 0 36 74 64 -0.430388226258667
+14 0 1 0 0 36 76 64 -0.439604838704215
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 0.360459693037627
+15 0 2 0 0 36 40 64 0.341184608893554
+15 0 2 0 0 36 41 64 0.324184216702234
+15 0 2 0 0 36 42 64 0.299928312421784
+15 0 2 0 0 36 43 64 0.279641675871136
+15 0 2 0 0 36 44 64 0.252794998549324
+15 0 2 0 0 36 45 64 0.229343120987531
+15 0 2 0 0 36 46 64 0.200383033250021
+15 0 2 0 0 36 47 64 0.173503081864189
+15 0 2 0 0 36 48 64 0.143822080275368
+15 0 2 0 0 36 49 64 0.114477519342405
+15 0 2 0 0 36 50 64 0.0841200947581495
+15 0 2 0 0 36 51 64 0.0535291639608645
+15 0 2 0 0 36 52 64 0.0226095201608515
+15 0 2 0 0 36 53 64 -0.00840677771206672
+15 0 2 0 0 36 54 64 -0.0393977624161185
+15 0 2 0 0 36 55 64 -0.0701930114481979
+15 0 2 0 0 36 56 64 -0.100625868527498
+15 0 2 0 0 36 57 64 -0.130573087402919
+15 0 2 0 0 36 58 64 -0.159553850893852
+15 0 2 0 0 36 59 64 -0.187957139765419
+15 0 2 0 0 36 60 64 -0.21459676439251
+15 0 2 0 0 36 61 64 -0.240963815141926
+15 0 2 0 0 36 62 64 -0.265310687819751
+15 0 2 0 0 36 63 64 -0.289732392165219
+15 0 2 0 0 36 64 64 -0.312735995508233
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 0.33930658504727
+16 0 2 0 0 36 40 64 0.317874293443799
+16 0 2 0 0 36 41 64 0.299116853503872
+16 0 2 0 0 36 42 64 0.273049558779635
+16 0 2 0 0 36 43 64 0.251126813227492
+16 0 2 0 0 36 44 64 0.22291179194741
+16 0 2 0 0 36 45 64 0.198294852808321
+16 0 2 0 0 36 46 64 0.167994392439548
+16 0 2 0 0 36 47 64 0.140407195619687
+16 0 2 0 0 36 48 64 0.109635861952211
+16 0 2 0 0 36 49 64 0.0797728715726397
+16 0 2 0 0 36 50 64 0.0488374222728685
+16 0 2 0 0 36 51 64 0.0179746681612826
+16 0 2 0 0 36 52 64 -0.0130838346871138
+16 0 2 0 0 36 53 64 -0.0440377345521383
+16 0 2 0 0 36 54 64 -0.0747912575831165
+16 0 2 0 0 36 55 64 -0.105169272947961
+16 0 2 0 0 36 56 64 -0.13496904234174
+16 0 2 0 0 36 57 64 -0.164132521747891
+16 0 2 0 0 36 58 64 -0.192029457292777
+16 0 2 0 0 36 59 64 -0.219301205284766
+16 0 2 0 0 36 60 64 -0.244619362390793
+16 0 2 0 0 36 61 64 -0.269604460318403
+16 0 2 0 0 36 62 64 -0.292469918324434
+16 0 2 0 0 36 63 64 -0.315511571702025
+16 0 2 0 0 36 64 64 -0.33654882118609
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0.425091380014551
+16 0 1 0 0 36 28 64 0.435663151470178
+16 0 1 0 0 36 30 64 0.443331670888888
+16 0 1 0 0 36 32 64 0.428687573152581
+16 0 1 0 0 36 34 64 0.417359731799212
+16 0 1 0 0 36 36 64 0.389740085010318
+16 0 1 0 0 36 38 64 0.358959670136259
+16 0 1 0 0 36 40 64 0.317874293443799
+16 0 1 0 0 36 42 64 0.273049558779635
+16 0 1 0 0 36 44 64 0.22291179194741
+16 0 1 0 0 36 46 64 0.167994392439548
+16 0 1 0 0 36 48 64 0.109635861952211
+16 0 1 0 0 36 50 64 0.0488374222728685
+16 0 1 0 0 36 52 64 -0.0130838346871138
+16 0 1 0 0 36 54 64 -0.0747912575831165
+16 0 1 0 0 36 56 64 -0.13496904234174
+16 0 1 0 0 36 58 64 -0.192029457292777
+16 0 1 0 0 36 60 64 -0.244619362390793
+16 0 1 0 0 36 62 64 -0.292469918324434
+16 0 1 0 0 36 64 64 -0.33654882118609
+16 0 1 0 0 36 66 64 -0.372349775795953
+16 0 1 0 0 36 68 64 -0.397829513123985
+16 0 1 0 0 36 70 64 -0.419194602298196
+16 0 1 0 0 36 72 64 -0.426675932375059
+16 0 1 0 0 36 74 64 -0.436427911699775
+16 0 1 0 0 36 76 64 -0.43489061653318
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 -0.227324030912732
+16 0 0 0 0 36 4 64 -0.111767751151321
+16 0 0 0 0 36 8 64 0.0128683951627269
+16 0 0 0 0 36 12 64 0.136463206023583
+16 0 0 0 0 36 16 64 0.24899416844826
+16 0 0 0 0 36 20 64 0.341366168102806
+16 0 0 0 0 36 24 64 0.405670634539685
+16 0 0 0 0 36 28 64 0.435663151470178
+16 0 0 0 0 36 32 64 0.428687573152581
+16 0 0 0 0 36 36 64 0.389740085010318
+16 0 0 0 0 36 40 64 0.317874293443799
+16 0 0 0 0 36 44 64 0.22291179194741
+16 0 0 0 0 36 48 64 0.109635861952211
+16 0 0 0 0 36 52 64 -0.0130838346871138
+16 0 0 0 0 36 56 64 -0.13496904234174
+16 0 0 0 0 36 60 64 -0.244619362390793
+16 0 0 0 0 36 64 64 -0.33654882118609
+16 0 0 0 0 36 68 64 -0.397829513123985
+16 0 0 0 0 36 72 64 -0.426675932375059
+16 0 0 0 0 36 76 64 -0.43489061653318
+16 0 0 0 0 36 80 64 -0.394143483070937
+16 0 0 0 0 36 84 64 -0.324470918039926
+16 0 0 0 0 36 88 64 -0.227324030912732
+16 0 0 0 0 36 92 64 -0.111767751151321
+16 0 0 0 0 36 96 64 0.0128683951627269
+16 0 0 0 0 36 100 64 0.136463206023583
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 0.316000742776145
+17 0 2 0 0 36 40 64 0.29256462407521
+17 0 2 0 0 36 41 64 0.272026824015082
+17 0 2 0 0 36 42 64 0.244306961686711
+17 0 2 0 0 36 43 64 0.220901786951846
+17 0 2 0 0 36 44 64 0.191511225800787
+17 0 2 0 0 36 45 64 0.165833088528777
+17 0 2 0 0 36 46 64 0.134472457980416
+17 0 2 0 0 36 47 64 0.106370811318945
+17 0 2 0 0 36 48 64 0.0746978142392145
+17 0 2 0 0 36 49 64 0.0445604314746672
+17 0 2 0 0 36 50 64 0.0132191528373189
+17 0 2 0 0 36 51 64 -0.0176894740134847
+17 0 2 0 0 36 52 64 -0.048689386463374
+17 0 2 0 0 36 53 64 -0.0793695077748062
+17 0 2 0 0 36 54 64 -0.109676310783414
+17 0 2 0 0 36 55 64 -0.139430598869192
+17 0 2 0 0 36 56 64 -0.168373693322737
+17 0 2 0 0 36 57 64 -0.196550883920878
+17 0 2 0 0 36 58 64 -0.223166278527153
+17 0 2 0 0 36 59 64 -0.249132599423903
+17 0 2 0 0 36 60 64 -0.273006878612547
+17 0 2 0 0 36 61 64 -0.296460286809649
+17 0 2 0 0 36 62 64 -0.317683386810327
+17 0 2 0 0 36 63 64 -0.338699800624455
+17 0 2 0 0 36 64 64 -0.357903764597354
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 0.290437392680207
+18 0 2 0 0 36 40 64 0.26510918284048
+18 0 2 0 0 36 41 64 0.243099893468597
+18 0 2 0 0 36 42 64 0.21390917166487
+18 0 2 0 0 36 43 64 0.189189193885477
+18 0 2 0 0 36 44 64 0.158799924617818
+18 0 2 0 0 36 45 64 0.132172813089439
+18 0 2 0 0 36 46 64 0.100046665963641
+18 0 2 0 0 36 47 64 0.071603945384983
+18 0 2 0 0 36 48 64 0.0392463211286308
+18 0 2 0 0 36 49 64 0.00907921507461576
+18 0 2 0 0 36 50 64 -0.0224954560804742
+18 0 2 0 0 36 51 64 -0.0532179670224465
+18 0 2 0 0 36 52 64 -0.0839669441411925
+18 0 2 0 0 36 53 64 -0.114161542775436
+18 0 2 0 0 36 54 64 -0.14381330983234
+18 0 2 0 0 36 55 64 -0.172739952477655
+18 0 2 0 0 36 56 64 -0.200605959900457
+18 0 2 0 0 36 57 64 -0.227602391698592
+18 0 2 0 0 36 58 64 -0.252762417292916
+18 0 2 0 0 36 59 64 -0.277262444786662
+18 0 2 0 0 36 60 64 -0.299580825418749
+18 0 2 0 0 36 61 64 -0.32133901378108
+18 0 2 0 0 36 62 64 -0.340767865469091
+18 0 2 0 0 36 63 64 -0.360096740909948
+18 0 2 0 0 36 64 64 -0.376976225251287
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 0.437715543753259
+18 0 1 0 0 36 28 64 0.437649333871927
+18 0 1 0 0 36 30 64 0.435197842719645
+18 0 1 0 0 36 32 64 0.410958618708142
+18 0 1 0 0 36 34 64 0.390820333194428
+18 0 1 0 0 36 36 64 0.352771899242602
+18 0 1 0 0 36 38 64 0.31416702271844
+18 0 1 0 0 36 40 64 0.26510918284048
+18 0 1 0 0 36 42 64 0.21390917166487
+18 0 1 0 0 36 44 64 0.158799924617818
+18 0 1 0 0 36 46 64 0.100046665963641
+18 0 1 0 0 36 48 64 0.0392463211286308
+18 0 1 0 0 36 50 64 -0.0224954560804742
+18 0 1 0 0 36 52 64 -0.0839669441411925
+18 0 1 0 0 36 54 64 -0.14381330983234
+18 0 1 0 0 36 56 64 -0.200605959900457
+18 0 1 0 0 36 58 64 -0.252762417292916
+18 0 1 0 0 36 60 64 -0.299580825418749
+18 0 1 0 0 36 62 64 -0.340767865469091
+18 0 1 0 0 36 64 64 -0.376976225251287
+18 0 1 0 0 36 66 64 -0.403564016776812
+18 0 1 0 0 36 68 64 -0.419433033393477
+18 0 1 0 0 36 70 64 -0.431443982954578
+18 0 1 0 0 36 72 64 -0.430054545372575
+18 0 1 0 0 36 74 64 -0.429267530630403
+18 0 1 0 0 36 76 64 -0.418889568062777
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 0.263075076615305
+19 0 2 0 0 36 40 64 0.236029410526095
+19 0 2 0 0 36 41 64 0.212532232716649
+19 0 2 0 0 36 42 64 0.182065951720377
+19 0 2 0 0 36 43 64 0.156215956326248
+19 0 2 0 0 36 44 64 0.124995324743285
+19 0 2 0 0 36 45 64 0.097547057353612
+19 0 2 0 0 36 46 64 0.0649504857715557
+19 0 2 0 0 36 47 64 0.0363190468788562
+19 0 2 0 0 36 48 64 0.00352433304142839
+19 0 2 0 0 36 49 64 -0.0264343686997302
+19 0 2 0 0 36 50 64 -0.0580663864842809
+19 0 2 0 0 36 51 64 -0.0883665391494326
+19 0 2 0 0 36 52 64 -0.118678705960154
+19 0 2 0 0 36 53 64 -0.1481760779244
+19 0 2 0 0 36 54 64 -0.176966750953193
+19 0 2 0 0 36 55 64 -0.204865626939937
+19 0 2 0 0 36 56 64 -0.231442255428755
+19 0 2 0 0 36 57 64 -0.257074194143451
+19 0 2 0 0 36 58 64 -0.280631582033121
+19 0 2 0 0 36 59 64 -0.303516446259484
+19 0 2 0 0 36 60 64 -0.324168066858134
+19 0 2 0 0 36 61 64 -0.344088025967752
+19 0 2 0 0 36 62 64 -0.361570203584461
+19 0 2 0 0 36 63 64 -0.378540336971582
+19 0 2 0 0 36 64 64 -0.393339620173648
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 0.233781190842765
+20 0 2 0 0 36 40 64 0.20515149353656
+20 0 2 0 0 36 41 64 0.180539677695616
+20 0 2 0 0 36 42 64 0.149006554262357
+20 0 2 0 0 36 43 64 0.122217004066036
+20 0 2 0 0 36 44 64 0.0903252736294497
+20 0 2 0 0 36 45 64 0.0622049560906578
+20 0 2 0 0 36 46 64 0.0294194676246579
+20 0 2 0 0 36 47 64 0.000732573068101559
+20 0 2 0 0 36 48 64 -0.0322228453468568
+20 0 2 0 0 36 49 64 -0.0617492067936641
+20 0 2 0 0 36 50 64 -0.0932542718054037
+20 0 2 0 0 36 51 64 -0.122894405505454
+20 0 2 0 0 36 52 64 -0.152590749854791
+20 0 2 0 0 36 53 64 -0.181179592750863
+20 0 2 0 0 36 54 64 -0.208907305672015
+20 0 2 0 0 36 55 64 -0.235583499379836
+20 0 2 0 0 36 56 64 -0.26067245370704
+20 0 2 0 0 36 57 64 -0.284769162518272
+20 0 2 0 0 36 58 64 -0.306603054337883
+20 0 2 0 0 36 59 64 -0.327734128297852
+20 0 2 0 0 36 60 64 -0.346607681590669
+20 0 2 0 0 36 61 64 -0.364532754245465
+20 0 2 0 0 36 62 64 -0.379936076596113
+20 0 2 0 0 36 63 64 -0.394959391750905
+20 0 2 0 0 36 64 64 -0.407136143689183
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 0.438923568716591
+20 0 1 0 0 36 28 64 0.427784619346778
+20 0 1 0 0 36 30 64 0.415076348374685
+20 0 1 0 0 36 32 64 0.382114404962842
+20 0 1 0 0 36 34 64 0.353680279734636
+20 0 1 0 0 36 36 64 0.306236172242355
+20 0 1 0 0 36 38 64 0.261021009394695
+20 0 1 0 0 36 40 64 0.20515149353656
+20 0 1 0 0 36 42 64 0.149006554262357
+20 0 1 0 0 36 44 64 0.0903252736294497
+20 0 1 0 0 36 46 64 0.0294194676246579
+20 0 1 0 0 36 48 64 -0.0322228453468568
+20 0 1 0 0 36 50 64 -0.0932542718054037
+20 0 1 0 0 36 52 64 -0.152590749854791
+20 0 1 0 0 36 54 64 -0.208907305672015
+20 0 1 0 0 36 56 64 -0.26067245370704
+20 0 1 0 0 36 58 64 -0.306603054337883
+20 0 1 0 0 36 60 64 -0.346607681590669
+20 0 1 0 0 36 62 64 -0.379936076596113
+20 0 1 0 0 36 64 64 -0.407136143689183
+20 0 1 0 0 36 66 64 -0.423814522330388
+20 0 1 0 0 36 68 64 -0.429971956740233
+20 0 1 0 0 36 70 64 -0.432246689973577
+20 0 1 0 0 36 72 64 -0.422220627802645
+20 0 1 0 0 36 74 64 -0.412445649511087
+20 0 1 0 0 36 76 64 -0.391617665816516
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 -0.094890862056454
+20 0 0 0 0 36 4 64 0.0307809845928025
+20 0 0 0 0 36 8 64 0.154068747108678
+20 0 0 0 0 36 12 64 0.264878272130144
+20 0 0 0 0 36 16 64 0.354192053446309
+20 0 0 0 0 36 20 64 0.414738079320684
+20 0 0 0 0 36 24 64 0.440984554283522
+20 0 0 0 0 36 28 64 0.427784619346778
+20 0 0 0 0 36 32 64 0.382114404962842
+20 0 0 0 0 36 36 64 0.306236172242355
+20 0 0 0 0 36 40 64 0.20515149353656
+20 0 0 0 0 36 44 64 0.0903252736294497
+20 0 0 0 0 36 48 64 -0.0322228453468568
+20 0 0 0 0 36 52 64 -0.152590749854791
+20 0 0 0 0 36 56 64 -0.26067245370704
+20 0 0 0 0 36 60 64 -0.346607681590669
+20 0 0 0 0 36 64 64 -0.407136143689183
+20 0 0 0 0 36 68 64 -0.429971956740233
+20 0 0 0 0 36 72 64 -0.422220627802645
+20 0 0 0 0 36 76 64 -0.391617665816516
+20 0 0 0 0 36 80 64 -0.311458660209474
+20 0 0 0 0 36 84 64 -0.213069775344911
+20 0 0 0 0 36 88 64 -0.094890862056454
+20 0 0 0 0 36 92 64 0.0307809845928025
+20 0 0 0 0 36 96 64 0.154068747108678
+20 0 0 0 0 36 100 64 0.264878272130144
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 0.203091256356989
+21 0 2 0 0 36 40 64 0.173074196799605
+21 0 2 0 0 36 41 64 0.147346762844465
+21 0 2 0 0 36 42 64 0.114953970330314
+21 0 2 0 0 36 43 64 0.0874270699659643
+21 0 2 0 0 36 44 64 0.0550270431171146
+21 0 2 0 0 36 45 64 0.0264085759274269
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+21 0 2 0 0 36 47 64 -0.0349329434514331
+21 0 2 0 0 36 48 64 -0.0677500155041685
+21 0 2 0 0 36 49 64 -0.0966414259107335
+21 0 2 0 0 36 50 64 -0.127821779533446
+21 0 2 0 0 36 51 64 -0.156566877355865
+21 0 2 0 0 36 52 64 -0.185474393137036
+21 0 2 0 0 36 53 64 -0.212944344938184
+21 0 2 0 0 36 54 64 -0.239414141764173
+21 0 2 0 0 36 55 64 -0.264679519417985
+21 0 2 0 0 36 56 64 -0.288102689056526
+21 0 2 0 0 36 57 64 -0.310507922996571
+21 0 2 0 0 36 58 64 -0.330520940122539
+21 0 2 0 0 36 59 64 -0.349767731164821
+21 0 2 0 0 36 60 64 -0.366746090048961
+21 0 2 0 0 36 61 64 -0.382544973507294
+21 0 2 0 0 36 62 64 -0.395740443582679
+21 0 2 0 0 36 63 64 -0.408127434002801
+21 0 2 0 0 36 64 64 -0.418061135299103
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 0.170846391532457
+22 0 2 0 0 36 40 64 0.139597932005986
+22 0 2 0 0 36 41 64 0.113190353788429
+22 0 2 0 0 36 42 64 0.0801470932337271
+22 0 2 0 0 36 43 64 0.0520862950053709
+22 0 2 0 0 36 44 64 0.0193456224634833
+22 0 2 0 0 36 45 64 -0.00957177986647998
+22 0 2 0 0 36 46 64 -0.0420027311618533
+22 0 2 0 0 36 47 64 -0.0704468463532279
+22 0 2 0 0 36 48 64 -0.102814638426952
+22 0 2 0 0 36 49 64 -0.130895256980618
+22 0 2 0 0 36 50 64 -0.161534989710577
+22 0 2 0 0 36 51 64 -0.189157956709252
+22 0 2 0 0 36 52 64 -0.217107433372312
+22 0 2 0 0 36 53 64 -0.243250082763068
+22 0 2 0 0 36 54 64 -0.268277430943818
+22 0 2 0 0 36 55 64 -0.291952305478566
+22 0 2 0 0 36 56 64 -0.313557409545062
+22 0 2 0 0 36 57 64 -0.33412993096264
+22 0 2 0 0 36 58 64 -0.352242579913134
+22 0 2 0 0 36 59 64 -0.369480955874834
+22 0 2 0 0 36 60 64 -0.384442862348077
+22 0 2 0 0 36 61 64 -0.397975282185172
+22 0 2 0 0 36 62 64 -0.408864720155674
+22 0 2 0 0 36 63 64 -0.419114517807639
+22 0 2 0 0 36 64 64 -0.426216148503005
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 0.428141143987063
+22 0 1 0 0 36 28 64 0.406386966844606
+22 0 1 0 0 36 30 64 0.383446961096722
+22 0 1 0 0 36 32 64 0.342858885173416
+22 0 1 0 0 36 34 64 0.306807134995947
+22 0 1 0 0 36 36 64 0.251420157254741
+22 0 1 0 0 36 38 64 0.200952064821515
+22 0 1 0 0 36 40 64 0.139597932005986
+22 0 1 0 0 36 42 64 0.0801470932337271
+22 0 1 0 0 36 44 64 0.0193456224634833
+22 0 1 0 0 36 46 64 -0.0420027311618533
+22 0 1 0 0 36 48 64 -0.102814638426952
+22 0 1 0 0 36 50 64 -0.161534989710577
+22 0 1 0 0 36 52 64 -0.217107433372312
+22 0 1 0 0 36 54 64 -0.268277430943818
+22 0 1 0 0 36 56 64 -0.313557409545062
+22 0 1 0 0 36 58 64 -0.352242579913134
+22 0 1 0 0 36 60 64 -0.384442862348077
+22 0 1 0 0 36 62 64 -0.408864720155674
+22 0 1 0 0 36 64 64 -0.426216148503005
+22 0 1 0 0 36 66 64 -0.432634041462551
+22 0 1 0 0 36 68 64 -0.429292892018297
+22 0 1 0 0 36 70 64 -0.421700564683372
+22 0 1 0 0 36 72 64 -0.403422775289641
+22 0 1 0 0 36 74 64 -0.383931761486946
+22 0 1 0 0 36 76 64 -0.354696985428402
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 0.137646806596271
+23 0 2 0 0 36 40 64 0.105383960291136
+23 0 2 0 0 36 41 64 0.0783115665256184
+23 0 2 0 0 36 42 64 0.0448126401298092
+23 0 2 0 0 36 43 64 0.0164314665615862
+23 0 2 0 0 36 44 64 -0.0164687369059106
+23 0 2 0 0 36 45 64 -0.0454631311792923
+23 0 2 0 0 36 46 64 -0.0774229950647567
+23 0 2 0 0 36 47 64 -0.105568964667222
+23 0 2 0 0 36 48 64 -0.137179270829701
+23 0 2 0 0 36 49 64 -0.164302606728185
+23 0 2 0 0 36 50 64 -0.194164804059769
+23 0 2 0 0 36 51 64 -0.220452691772051
+23 0 2 0 0 36 52 64 -0.247275321125827
+23 0 2 0 0 36 53 64 -0.27188601764302
+23 0 2 0 0 36 54 64 -0.295300900720013
+23 0 2 0 0 36 55 64 -0.317215664131767
+23 0 2 0 0 36 56 64 -0.336880367621778
+23 0 2 0 0 36 57 64 -0.355493364882442
+23 0 2 0 0 36 58 64 -0.371636698895632
+23 0 2 0 0 36 59 64 -0.386747914158686
+23 0 2 0 0 36 60 64 -0.399568214505137
+23 0 2 0 0 36 61 64 -0.410727804588891
+23 0 2 0 0 36 62 64 -0.419218756035739
+23 0 2 0 0 36 63 64 -0.426642249401669
+23 0 2 0 0 36 64 64 -0.43143045349846
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 0.103308431634272
+24 0 2 0 0 36 40 64 0.0702118612765766
+24 0 2 0 0 36 41 64 0.0429545037457622
+24 0 2 0 0 36 42 64 0.00919079051279049
+24 0 2 0 0 36 43 64 -0.0192971829009936
+24 0 2 0 0 36 44 64 -0.0521636742785657
+24 0 2 0 0 36 45 64 -0.0809962992981119
+24 0 2 0 0 36 46 64 -0.112336843091001
+24 0 2 0 0 36 47 64 -0.140049584442482
+24 0 2 0 0 36 48 64 -0.170613647350069
+24 0 2 0 0 36 49 64 -0.196661333374275
+24 0 2 0 0 36 50 64 -0.22548842419816
+24 0 2 0 0 36 51 64 -0.250249030126683
+24 0 2 0 0 36 52 64 -0.275772351281318
+24 0 2 0 0 36 53 64 -0.298653109315406
+24 0 2 0 0 36 54 64 -0.320304214307567
+24 0 2 0 0 36 55 64 -0.340300805452524
+24 0 2 0 0 36 56 64 -0.357934348979451
+24 0 2 0 0 36 57 64 -0.374473914696896
+24 0 2 0 0 36 58 64 -0.388581555902285
+24 0 2 0 0 36 59 64 -0.401452487053308
+24 0 2 0 0 36 60 64 -0.41200852817173
+24 0 2 0 0 36 61 64 -0.420686736958015
+24 0 2 0 0 36 62 64 -0.426723517989053
+24 0 2 0 0 36 63 64 -0.431906879528236
+24 0 2 0 0 36 64 64 -0.433760960219611
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 0.405658256100884
+24 0 1 0 0 36 28 64 0.373350390048786
+24 0 1 0 0 36 30 64 0.341293225210835
+24 0 1 0 0 36 32 64 0.294192068074441
+24 0 1 0 0 36 34 64 0.251347692584009
+24 0 1 0 0 36 36 64 0.189830674569251
+24 0 1 0 0 36 38 64 0.135553108981697
+24 0 1 0 0 36 40 64 0.0702118612765766
+24 0 1 0 0 36 42 64 0.00919079051279049
+24 0 1 0 0 36 44 64 -0.0521636742785657
+24 0 1 0 0 36 46 64 -0.112336843091001
+24 0 1 0 0 36 48 64 -0.170613647350069
+24 0 1 0 0 36 50 64 -0.22548842419816
+24 0 1 0 0 36 52 64 -0.275772351281318
+24 0 1 0 0 36 54 64 -0.320304214307567
+24 0 1 0 0 36 56 64 -0.357934348979451
+24 0 1 0 0 36 58 64 -0.388581555902285
+24 0 1 0 0 36 60 64 -0.41200852817173
+24 0 1 0 0 36 62 64 -0.426723517989053
+24 0 1 0 0 36 64 64 -0.433760960219611
+24 0 1 0 0 36 66 64 -0.429887139060718
+24 0 1 0 0 36 68 64 -0.417521672201071
+24 0 1 0 0 36 70 64 -0.400131804572189
+24 0 1 0 0 36 72 64 -0.374031293845633
+24 0 1 0 0 36 74 64 -0.345973067928579
+24 0 1 0 0 36 76 64 -0.307586835020433
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 0.0485730189530789
+24 0 0 0 0 36 4 64 0.171055015627224
+24 0 0 0 0 36 8 64 0.280000570910959
+24 0 0 0 0 36 12 64 0.366254856111116
+24 0 0 0 0 36 16 64 0.422740833845206
+24 0 0 0 0 36 20 64 0.444602087603587
+24 0 0 0 0 36 24 64 0.429703975755115
+24 0 0 0 0 36 28 64 0.373350390048786
+24 0 0 0 0 36 32 64 0.294192068074441
+24 0 0 0 0 36 36 64 0.189830674569251
+24 0 0 0 0 36 40 64 0.0702118612765766
+24 0 0 0 0 36 44 64 -0.0521636742785657
+24 0 0 0 0 36 48 64 -0.170613647350069
+24 0 0 0 0 36 52 64 -0.275772351281318
+24 0 0 0 0 36 56 64 -0.357934348979451
+24 0 0 0 0 36 60 64 -0.41200852817173
+24 0 0 0 0 36 64 64 -0.433760960219611
+24 0 0 0 0 36 68 64 -0.417521672201071
+24 0 0 0 0 36 72 64 -0.374031293845633
+24 0 0 0 0 36 76 64 -0.307586835020433
+24 0 0 0 0 36 80 64 -0.194984338195384
+24 0 0 0 0 36 84 64 -0.0786177094875009
+24 0 0 0 0 36 88 64 0.0485730189530789
+24 0 0 0 0 36 92 64 0.171055015627224
+24 0 0 0 0 36 96 64 0.280000570910959
+24 0 0 0 0 36 100 64 0.366254856111116
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.zl
new file mode 100644
index 000000000..e017b8190
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vy.zl
@@ -0,0 +1,1757 @@
+# HYDROTOY::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 0.0902921402510829
+0 0 2 0 0 36 48 52 0.134200273617742
+0 0 2 0 0 36 48 53 0.176638080703433
+0 0 2 0 0 36 48 54 0.217140604013042
+0 0 2 0 0 36 48 55 0.255264089425492
+0 0 2 0 0 36 48 56 0.290590848056751
+0 0 2 0 0 36 48 57 0.322733832546656
+0 0 2 0 0 36 48 58 0.351340877630784
+0 0 2 0 0 36 48 59 0.376098558536783
+0 0 2 0 0 36 48 60 0.39673562493177
+0 0 2 0 0 36 48 61 0.413025972797738
+0 0 2 0 0 36 48 62 0.424791121674493
+0 0 2 0 0 36 48 63 0.431902170128924
+0 0 2 0 0 36 48 64 0.434281208026084
+0 0 2 0 0 36 48 65 0.431902170128924
+0 0 2 0 0 36 48 66 0.424791121674493
+0 0 2 0 0 36 48 67 0.413025972797738
+0 0 2 0 0 36 48 68 0.39673562493177
+0 0 2 0 0 36 48 69 0.376098558536783
+0 0 2 0 0 36 48 70 0.351340877630784
+0 0 2 0 0 36 48 71 0.322733832546656
+0 0 2 0 0 36 48 72 0.290590848056751
+0 0 2 0 0 36 48 73 0.255264089425492
+0 0 2 0 0 36 48 74 0.217140604013042
+0 0 2 0 0 36 48 75 0.176638080703433
+0 0 2 0 0 36 48 76 0.134200273617742
+0 0 2 0 0 36 48 77 0.0902921402510828
+0 0 2 0 0 36 48 78 0.0453947473009874
+0 0 2 0 0 36 48 79 7.0159977117234e-16
+0 0 2 0 0 36 48 80 -0.045394747300986
+0 0 2 0 0 36 48 81 -0.0902921402510813
+0 0 2 0 0 36 48 82 -0.134200273617741
+0 0 2 0 0 36 48 83 -0.176638080703432
+0 0 2 0 0 36 48 84 -0.217140604013041
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -0.434281208026084
+0 0 1 0 0 36 48 36 -0.424791121674492
+0 0 1 0 0 36 48 38 -0.39673562493177
+0 0 1 0 0 36 48 40 -0.351340877630783
+0 0 1 0 0 36 48 42 -0.29059084805675
+0 0 1 0 0 36 48 44 -0.217140604013041
+0 0 1 0 0 36 48 46 -0.134200273617741
+0 0 1 0 0 36 48 48 -0.0453947473009859
+0 0 1 0 0 36 48 50 0.0453947473009874
+0 0 1 0 0 36 48 52 0.134200273617742
+0 0 1 0 0 36 48 54 0.217140604013042
+0 0 1 0 0 36 48 56 0.290590848056751
+0 0 1 0 0 36 48 58 0.351340877630784
+0 0 1 0 0 36 48 60 0.39673562493177
+0 0 1 0 0 36 48 62 0.424791121674493
+0 0 1 0 0 36 48 64 0.434281208026084
+0 0 1 0 0 36 48 66 0.424791121674493
+0 0 1 0 0 36 48 68 0.39673562493177
+0 0 1 0 0 36 48 70 0.351340877630784
+0 0 1 0 0 36 48 72 0.290590848056751
+0 0 1 0 0 36 48 74 0.217140604013042
+0 0 1 0 0 36 48 76 0.134200273617742
+0 0 1 0 0 36 48 78 0.0453947473009874
+0 0 1 0 0 36 48 80 -0.045394747300986
+0 0 1 0 0 36 48 82 -0.134200273617741
+0 0 1 0 0 36 48 84 -0.217140604013041
+0 0 1 0 0 36 48 86 -0.29059084805675
+0 0 1 0 0 36 48 88 -0.351340877630783
+0 0 1 0 0 36 48 90 -0.39673562493177
+0 0 1 0 0 36 48 92 -0.424791121674492
+0 0 1 0 0 36 48 94 -0.434281208026084
+0 0 1 0 0 36 48 96 -0.424791121674493
+0 0 1 0 0 36 48 98 -0.396735624931771
+0 0 1 0 0 36 48 100 -0.351340877630785
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 0.396735624931772
+0 0 0 0 0 36 48 4 0.434281208026084
+0 0 0 0 0 36 48 8 0.396735624931769
+0 0 0 0 0 36 48 12 0.290590848056749
+0 0 0 0 0 36 48 16 0.134200273617739
+0 0 0 0 0 36 48 20 -0.0453947473009889
+0 0 0 0 0 36 48 24 -0.217140604013044
+0 0 0 0 0 36 48 28 -0.351340877630785
+0 0 0 0 0 36 48 32 -0.424791121674493
+0 0 0 0 0 36 48 36 -0.424791121674492
+0 0 0 0 0 36 48 40 -0.351340877630783
+0 0 0 0 0 36 48 44 -0.217140604013041
+0 0 0 0 0 36 48 48 -0.0453947473009859
+0 0 0 0 0 36 48 52 0.134200273617742
+0 0 0 0 0 36 48 56 0.290590848056751
+0 0 0 0 0 36 48 60 0.39673562493177
+0 0 0 0 0 36 48 64 0.434281208026084
+0 0 0 0 0 36 48 68 0.39673562493177
+0 0 0 0 0 36 48 72 0.290590848056751
+0 0 0 0 0 36 48 76 0.134200273617742
+0 0 0 0 0 36 48 80 -0.045394747300986
+0 0 0 0 0 36 48 84 -0.217140604013041
+0 0 0 0 0 36 48 88 -0.351340877630783
+0 0 0 0 0 36 48 92 -0.424791121674492
+0 0 0 0 0 36 48 96 -0.424791121674493
+0 0 0 0 0 36 48 100 -0.351340877630785
+0 0 0 0 0 36 48 104 -0.217140604013044
+0 0 0 0 0 36 48 108 -0.0453947473009889
+0 0 0 0 0 36 48 112 0.134200273617739
+0 0 0 0 0 36 48 116 0.290590848056749
+0 0 0 0 0 36 48 120 0.396735624931769
+0 0 0 0 0 36 48 124 0.434281208026084
+0 0 0 0 0 36 48 128 0.396735624931772
+0 0 0 0 0 36 48 132 0.290590848056754
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 0.124777249491736
+1 0 2 0 0 36 48 52 0.167581077277568
+1 0 2 0 0 36 48 53 0.208628535903218
+1 0 2 0 0 36 48 54 0.247299529237573
+1 0 2 0 0 36 48 55 0.283261057178848
+1 0 2 0 0 36 48 56 0.316119117701484
+1 0 2 0 0 36 48 57 0.345513711018404
+1 0 2 0 0 36 48 58 0.371122783814015
+1 0 2 0 0 36 48 59 0.392665757727724
+1 0 2 0 0 36 48 60 0.409906603429176
+1 0 2 0 0 36 48 61 0.422656426604986
+1 0 2 0 0 36 48 62 0.430775537524368
+1 0 2 0 0 36 48 63 0.434174981509057
+1 0 2 0 0 36 48 64 0.432817513539377
+1 0 2 0 0 36 48 65 0.426718006318472
+1 0 2 0 0 36 48 66 0.415943287323858
+1 0 2 0 0 36 48 67 0.400611406631595
+1 0 2 0 0 36 48 68 0.38089034353495
+1 0 2 0 0 36 48 69 0.356996166128108
+1 0 2 0 0 36 48 70 0.329190664018915
+1 0 2 0 0 36 48 71 0.297778480107156
+1 0 2 0 0 36 48 72 0.26310377285319
+1 0 2 0 0 36 48 73 0.225546445605841
+1 0 2 0 0 36 48 74 0.185517984301805
+1 0 2 0 0 36 48 75 0.143456949139625
+1 0 2 0 0 36 48 76 0.0998241696223751
+1 0 2 0 0 36 48 77 0.0550976956131916
+1 0 2 0 0 36 48 78 0.0097675597209359
+1 0 2 0 0 36 48 79 -0.0356695915996156
+1 0 2 0 0 36 48 80 -0.0807159394102598
+1 0 2 0 0 36 48 81 -0.124877946497829
+1 0 2 0 0 36 48 82 -0.167671764671178
+1 0 2 0 0 36 48 83 -0.208533874621243
+1 0 2 0 0 36 48 84 -0.247220569166329
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 0.158679273461413
+2 0 2 0 0 36 48 52 0.200079272368088
+2 0 2 0 0 36 48 53 0.239219003707111
+2 0 2 0 0 36 48 54 0.275787461769895
+2 0 2 0 0 36 48 55 0.309345880172263
+2 0 2 0 0 36 48 56 0.339513339835813
+2 0 2 0 0 36 48 57 0.365961020300389
+2 0 2 0 0 36 48 58 0.388399155244287
+2 0 2 0 0 36 48 59 0.40658190776558
+2 0 2 0 0 36 48 60 0.420310063822659
+2 0 2 0 0 36 48 61 0.429433214864962
+2 0 2 0 0 36 48 62 0.433851405740526
+2 0 2 0 0 36 48 63 0.433516229825554
+2 0 2 0 0 36 48 64 0.42843135937751
+2 0 2 0 0 36 48 65 0.418652505301101
+2 0 2 0 0 36 48 66 0.404286806767943
+2 0 2 0 0 36 48 67 0.385491657377382
+2 0 2 0 0 36 48 68 0.36247298071928
+2 0 2 0 0 36 48 69 0.335482974232069
+2 0 2 0 0 36 48 70 0.304817346074846
+2 0 2 0 0 36 48 71 0.270812075286897
+2 0 2 0 0 36 48 72 0.233839730731034
+2 0 2 0 0 36 48 73 0.194305389151172
+2 0 2 0 0 36 48 74 0.152642197066754
+2 0 2 0 0 36 48 75 0.109306625128839
+2 0 2 0 0 36 48 76 0.0647734669321304
+2 0 2 0 0 36 48 77 0.019530637076994
+2 0 2 0 0 36 48 78 -0.0259261745250065
+2 0 2 0 0 36 48 79 -0.0710989335335101
+2 0 2 0 0 36 48 80 -0.115492717747812
+2 0 2 0 0 36 48 81 -0.158619506354171
+2 0 2 0 0 36 48 82 -0.200003855279747
+2 0 2 0 0 36 48 83 -0.239269279371058
+2 0 2 0 0 36 48 84 -0.27585918706362
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -0.428426257976849
+2 0 1 0 0 36 48 36 -0.40473471039475
+2 0 1 0 0 36 48 38 -0.362484591883325
+2 0 1 0 0 36 48 40 -0.304814318079276
+2 0 1 0 0 36 48 42 -0.233822195913784
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+2 0 1 0 0 36 48 48 0.0259802893153777
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+2 0 1 0 0 36 48 54 0.275787461769895
+2 0 1 0 0 36 48 56 0.339513339835813
+2 0 1 0 0 36 48 58 0.388399155244287
+2 0 1 0 0 36 48 60 0.420310063822659
+2 0 1 0 0 36 48 62 0.433851405740526
+2 0 1 0 0 36 48 64 0.42843135937751
+2 0 1 0 0 36 48 66 0.404286806767943
+2 0 1 0 0 36 48 68 0.36247298071928
+2 0 1 0 0 36 48 70 0.304817346074846
+2 0 1 0 0 36 48 72 0.233839730731034
+2 0 1 0 0 36 48 74 0.152642197066754
+2 0 1 0 0 36 48 76 0.0647734669321304
+2 0 1 0 0 36 48 78 -0.0259261745250065
+2 0 1 0 0 36 48 80 -0.115492717747812
+2 0 1 0 0 36 48 82 -0.200003855279747
+2 0 1 0 0 36 48 84 -0.27585918706362
+2 0 1 0 0 36 48 86 -0.339582731565229
+2 0 1 0 0 36 48 88 -0.388464881198701
+2 0 1 0 0 36 48 90 -0.420369251462477
+2 0 1 0 0 36 48 92 -0.433901468281873
+2 0 1 0 0 36 48 94 -0.428470108847103
+2 0 1 0 0 36 48 96 -0.404312549628019
+2 0 1 0 0 36 48 98 -0.36279129967605
+2 0 1 0 0 36 48 100 -0.305497195362384
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 0.191283729113762
+3 0 2 0 0 36 48 52 0.231003153900096
+3 0 2 0 0 36 48 53 0.26820198398608
+3 0 2 0 0 36 48 54 0.302409204582229
+3 0 2 0 0 36 48 55 0.333343073392695
+3 0 2 0 0 36 48 56 0.360615601887897
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+3 0 2 0 0 36 48 61 0.433310583841825
+3 0 2 0 0 36 48 62 0.433997941187885
+3 0 2 0 0 36 48 63 0.429930326270383
+3 0 2 0 0 36 48 64 0.421152304729559
+3 0 2 0 0 36 48 65 0.407760050406331
+3 0 2 0 0 36 48 66 0.389900291641575
+3 0 2 0 0 36 48 67 0.367768703689713
+3 0 2 0 0 36 48 68 0.341607764859677
+3 0 2 0 0 36 48 69 0.311704099871819
+3 0 2 0 0 36 48 70 0.278385339537488
+3 0 2 0 0 36 48 71 0.242016531167307
+3 0 2 0 0 36 48 72 0.202996139036442
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+3 0 2 0 0 36 48 83 -0.2681272044006
+3 0 2 0 0 36 48 84 -0.302440129600304
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 0.222818459459584
+4 0 2 0 0 36 48 52 0.260583290203328
+4 0 2 0 0 36 48 53 0.29537941818447
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+4 0 2 0 0 36 48 63 0.423441430879779
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+4 0 2 0 0 36 48 67 0.347562088578067
+4 0 2 0 0 36 48 68 0.318435440819568
+4 0 2 0 0 36 48 69 0.285819947734551
+4 0 2 0 0 36 48 70 0.250072951490484
+4 0 2 0 0 36 48 71 0.211586103658758
+4 0 2 0 0 36 48 72 0.170781074198108
+4 0 2 0 0 36 48 73 0.128104931550306
+4 0 2 0 0 36 48 74 0.0840252444647585
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+4 0 2 0 0 36 48 76 -0.0064028916495577
+4 0 2 0 0 36 48 77 -0.051760589500809
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+4 0 2 0 0 36 48 82 -0.260388688551741
+4 0 2 0 0 36 48 83 -0.295421101581927
+4 0 2 0 0 36 48 84 -0.327168839477917
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -0.411432597097011
+4 0 1 0 0 36 48 36 -0.373440430911314
+4 0 1 0 0 36 48 38 -0.318410245310168
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+4 0 1 0 0 36 48 60 0.432552690853054
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+4 0 1 0 0 36 48 100 -0.250293695555629
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 0.433425313359762
+4 0 0 0 0 36 48 4 0.411725364080886
+4 0 0 0 0 36 48 8 0.318834358944915
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+4 0 0 0 0 36 48 64 0.411029426828164
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+4 0 0 0 0 36 48 128 0.318834358944915
+4 0 0 0 0 36 48 132 0.17081399662815
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 0.252648022955704
+5 0 2 0 0 36 48 52 0.288207534099786
+5 0 2 0 0 36 48 53 0.320566762548128
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+5 0 2 0 0 36 48 67 0.325008107572014
+5 0 2 0 0 36 48 68 0.293112315090821
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+5 0 2 0 0 36 48 73 0.0935921368169621
+5 0 2 0 0 36 48 74 0.0487469958778765
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+5 0 2 0 0 36 48 83 -0.320490555135097
+5 0 2 0 0 36 48 84 -0.349532881341967
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 0.280975527005354
+6 0 2 0 0 36 48 52 0.314079934648802
+6 0 2 0 0 36 48 53 0.343591484954116
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+6 0 2 0 0 36 48 62 0.416950012239033
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+6 0 2 0 0 36 48 68 0.265809171128159
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+6 0 2 0 0 36 48 70 0.188582356608245
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+6 0 2 0 0 36 48 72 0.103113588186005
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+6 0 2 0 0 36 48 83 -0.343622391577291
+6 0 2 0 0 36 48 84 -0.369703066977284
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -0.38370528771977
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+6 0 1 0 0 36 48 100 -0.189613039192801
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 0.307225125237869
+7 0 2 0 0 36 48 52 0.337658200448032
+7 0 2 0 0 36 48 53 0.364297968767006
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+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 0.331580281083648
+8 0 2 0 0 36 48 52 0.359123095298256
+8 0 2 0 0 36 48 53 0.382544631886032
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+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -0.34497838292978
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+8 0 1 0 0 36 48 100 -0.122161005946473
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 0.424083834070079
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+8 0 0 0 0 36 48 128 0.206654448789242
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+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+9 0 2 0 0 36 48 83 -0.398203170517988
+9 0 2 0 0 36 48 84 -0.414586785304429
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 0.373263848046011
+10 0 2 0 0 36 48 52 0.394495558210471
+10 0 2 0 0 36 48 53 0.411185012203604
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+10 0 2 0 0 36 48 83 -0.411292915435026
+10 0 2 0 0 36 48 84 -0.424150824141709
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -0.297835430749768
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+10 0 1 0 0 36 48 100 -0.0529361653114007
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 0.390339818072221
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+11 0 2 0 0 36 48 84 -0.430790981333082
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 0.404899343256152
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+12 0 2 0 0 36 48 83 -0.428961301886811
+12 0 2 0 0 36 48 84 -0.434582350659667
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -0.241434864484946
+12 0 1 0 0 36 48 36 -0.16026422930577
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+12 0 1 0 0 36 48 100 0.0197276725440023
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 0.369572773464889
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+12 0 0 0 0 36 48 132 -0.1102505484775
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 0.416632132872062
+13 0 2 0 0 36 48 52 0.427387101160899
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+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 0.425635612824738
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+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 -0.179799551785551
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+14 0 1 0 0 36 48 100 0.0902880973792855
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 0.431713139041122
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+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 0.434921587694608
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+16 0 2 0 0 36 48 84 -0.420375395001912
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 -0.111642200756471
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+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 0.275507386750357
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+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 0.432519504282882
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+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 -0.0420118149836822
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+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 0.42697082128212
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+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 0.418506683983778
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+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 0.0306996031603672
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+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 0.151678426057518
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+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 0.407296493016967
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+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 0.39326727169751
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+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+22 0 1 0 0 36 48 58 0.165034843455352
+22 0 1 0 0 36 48 60 0.0778288099720537
+22 0 1 0 0 36 48 62 -0.0127440200207876
+22 0 1 0 0 36 48 64 -0.102814638426952
+22 0 1 0 0 36 48 66 -0.18842812674113
+22 0 1 0 0 36 48 68 -0.265816062727086
+22 0 1 0 0 36 48 70 -0.331585392635019
+22 0 1 0 0 36 48 72 -0.382848883839993
+22 0 1 0 0 36 48 74 -0.417345491052016
+22 0 1 0 0 36 48 76 -0.433602657894125
+22 0 1 0 0 36 48 78 -0.431086471476573
+22 0 1 0 0 36 48 80 -0.409980891621379
+22 0 1 0 0 36 48 82 -0.371034394841295
+22 0 1 0 0 36 48 84 -0.316413978326993
+22 0 1 0 0 36 48 86 -0.246578548308661
+22 0 1 0 0 36 48 88 -0.167011998125666
+22 0 1 0 0 36 48 90 -0.0797989588613358
+22 0 1 0 0 36 48 92 0.0105814088377385
+22 0 1 0 0 36 48 94 0.0996933364592458
+22 0 1 0 0 36 48 96 0.185719709513542
+22 0 1 0 0 36 48 98 0.266710244959006
+22 0 1 0 0 36 48 100 0.337392090755035
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 0.376694559299912
+23 0 2 0 0 36 48 52 0.351509592278217
+23 0 2 0 0 36 48 53 0.320857702352458
+23 0 2 0 0 36 48 54 0.289065722585008
+23 0 2 0 0 36 48 55 0.25318822999335
+23 0 2 0 0 36 48 56 0.214953953275635
+23 0 2 0 0 36 48 57 0.174334279932815
+23 0 2 0 0 36 48 58 0.131496544728925
+23 0 2 0 0 36 48 59 0.0877389502166793
+23 0 2 0 0 36 48 60 0.0424336710094428
+23 0 2 0 0 36 48 61 -0.00280755748111565
+23 0 2 0 0 36 48 62 -0.0484092779844061
+23 0 2 0 0 36 48 63 -0.0932402873377071
+23 0 2 0 0 36 48 64 -0.137179270829701
+23 0 2 0 0 36 48 65 -0.179565293321718
+23 0 2 0 0 36 48 66 -0.219997148578099
+23 0 2 0 0 36 48 67 -0.258024913979395
+23 0 2 0 0 36 48 68 -0.293214001920945
+23 0 2 0 0 36 48 69 -0.325200707484704
+23 0 2 0 0 36 48 70 -0.353614315929667
+23 0 2 0 0 36 48 71 -0.378148593527786
+23 0 2 0 0 36 48 72 -0.398541514711867
+23 0 2 0 0 36 48 73 -0.414527763269682
+23 0 2 0 0 36 48 74 -0.426016707581266
+23 0 2 0 0 36 48 75 -0.432761456066681
+23 0 2 0 0 36 48 76 -0.434906542848868
+23 0 2 0 0 36 48 77 -0.432223261066811
+23 0 2 0 0 36 48 78 -0.425007045720398
+23 0 2 0 0 36 48 79 -0.413068517038077
+23 0 2 0 0 36 48 80 -0.396743637823233
+23 0 2 0 0 36 48 81 -0.375959334211588
+23 0 2 0 0 36 48 82 -0.351180691692659
+23 0 2 0 0 36 48 83 -0.322878809452937
+23 0 2 0 0 36 48 84 -0.290871806603353
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 0.357476583788319
+24 0 2 0 0 36 48 52 0.329215826954613
+24 0 2 0 0 36 48 53 0.295603708754411
+24 0 2 0 0 36 48 54 0.261536533418475
+24 0 2 0 0 36 48 55 0.223233946360149
+24 0 2 0 0 36 48 56 0.183293813708747
+24 0 2 0 0 36 48 57 0.140991210531024
+24 0 2 0 0 36 48 58 0.0970861351112604
+24 0 2 0 0 36 48 59 0.052473790729879
+24 0 2 0 0 36 48 60 0.00676252120268886
+24 0 2 0 0 36 48 61 -0.0384779819576885
+24 0 2 0 0 36 48 62 -0.0837447006849023
+24 0 2 0 0 36 48 63 -0.127787502161366
+24 0 2 0 0 36 48 64 -0.170613647350069
+24 0 2 0 0 36 48 65 -0.211483969379697
+24 0 2 0 0 36 48 66 -0.250073767322059
+24 0 2 0 0 36 48 67 -0.285915625191215
+24 0 2 0 0 36 48 68 -0.318623368834956
+24 0 2 0 0 36 48 69 -0.347840707925321
+24 0 2 0 0 36 48 70 -0.373245361727959
+24 0 2 0 0 36 48 71 -0.394542526435674
+24 0 2 0 0 36 48 72 -0.411531906922821
+24 0 2 0 0 36 48 73 -0.423955779812406
+24 0 2 0 0 36 48 74 -0.431805098001031
+24 0 2 0 0 36 48 75 -0.434840006686559
+24 0 2 0 0 36 48 76 -0.433280559296053
+24 0 2 0 0 36 48 77 -0.426914583769374
+24 0 2 0 0 36 48 78 -0.416062701209922
+24 0 2 0 0 36 48 79 -0.400582382431662
+24 0 2 0 0 36 48 80 -0.380815244751685
+24 0 2 0 0 36 48 81 -0.356801327387062
+24 0 2 0 0 36 48 82 -0.328945405766233
+24 0 2 0 0 36 48 83 -0.297782181203324
+24 0 2 0 0 36 48 84 -0.263202801753093
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 0.170491292048904
+24 0 1 0 0 36 48 36 0.251606755694081
+24 0 1 0 0 36 48 38 0.322006357236001
+24 0 1 0 0 36 48 40 0.371463274265607
+24 0 1 0 0 36 48 42 0.414176212528562
+24 0 1 0 0 36 48 44 0.432282275166426
+24 0 1 0 0 36 48 46 0.435249989171102
+24 0 1 0 0 36 48 48 0.417242546342549
+24 0 1 0 0 36 48 50 0.381718698956742
+24 0 1 0 0 36 48 52 0.329215826954613
+24 0 1 0 0 36 48 54 0.261536533418475
+24 0 1 0 0 36 48 56 0.183293813708747
+24 0 1 0 0 36 48 58 0.0970861351112604
+24 0 1 0 0 36 48 60 0.00676252120268886
+24 0 1 0 0 36 48 62 -0.0837447006849023
+24 0 1 0 0 36 48 64 -0.170613647350069
+24 0 1 0 0 36 48 66 -0.250073767322059
+24 0 1 0 0 36 48 68 -0.318623368834956
+24 0 1 0 0 36 48 70 -0.373245361727959
+24 0 1 0 0 36 48 72 -0.411531906922821
+24 0 1 0 0 36 48 74 -0.431805098001031
+24 0 1 0 0 36 48 76 -0.433280559296053
+24 0 1 0 0 36 48 78 -0.416062701209922
+24 0 1 0 0 36 48 80 -0.380815244751685
+24 0 1 0 0 36 48 82 -0.328945405766233
+24 0 1 0 0 36 48 84 -0.263202801753093
+24 0 1 0 0 36 48 86 -0.184772987239782
+24 0 1 0 0 36 48 88 -0.0992013366563129
+24 0 1 0 0 36 48 90 -0.00903059492619241
+24 0 1 0 0 36 48 92 0.0812869943280549
+24 0 1 0 0 36 48 94 0.167369510089434
+24 0 1 0 0 36 48 96 0.247652638073146
+24 0 1 0 0 36 48 98 0.321742510395809
+24 0 1 0 0 36 48 100 0.381850314951685
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 0.0110331633677701
+24 0 0 0 0 36 48 4 -0.171045926354557
+24 0 0 0 0 36 48 8 -0.323549724262519
+24 0 0 0 0 36 48 12 -0.420108814412136
+24 0 0 0 0 36 48 16 -0.444027298248502
+24 0 0 0 0 36 48 20 -0.391169224766565
+24 0 0 0 0 36 48 24 -0.270682860524524
+24 0 0 0 0 36 48 28 -0.103408478079912
+24 0 0 0 0 36 48 32 0.081352136695322
+24 0 0 0 0 36 48 36 0.251606755694081
+24 0 0 0 0 36 48 40 0.371463274265607
+24 0 0 0 0 36 48 44 0.432282275166426
+24 0 0 0 0 36 48 48 0.417242546342549
+24 0 0 0 0 36 48 52 0.329215826954613
+24 0 0 0 0 36 48 56 0.183293813708747
+24 0 0 0 0 36 48 60 0.00676252120268886
+24 0 0 0 0 36 48 64 -0.170613647350069
+24 0 0 0 0 36 48 68 -0.318623368834956
+24 0 0 0 0 36 48 72 -0.411531906922821
+24 0 0 0 0 36 48 76 -0.433280559296053
+24 0 0 0 0 36 48 80 -0.380815244751685
+24 0 0 0 0 36 48 84 -0.263202801753093
+24 0 0 0 0 36 48 88 -0.0992013366563129
+24 0 0 0 0 36 48 92 0.0812869943280549
+24 0 0 0 0 36 48 96 0.247652638073146
+24 0 0 0 0 36 48 100 0.381850314951685
+24 0 0 0 0 36 48 104 0.44130787554242
+24 0 0 0 0 36 48 108 0.427042825663722
+24 0 0 0 0 36 48 112 0.338304334795428
+24 0 0 0 0 36 48 116 0.1912071158588
+24 0 0 0 0 36 48 120 0.0110331633677701
+24 0 0 0 0 36 48 124 -0.171045926354557
+24 0 0 0 0 36 48 128 -0.323549724262519
+24 0 0 0 0 36 48 132 -0.420108814412136
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.xl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.xl
new file mode 100644
index 000000000..2eadc8466
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.xl
@@ -0,0 +1,1082 @@
+# HYDROTOY::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0.374387331157387
+0 0 2 0 0 28 48 64 0.426199910483233
+0 0 2 0 0 29 48 64 0.473342954401761
+0 0 2 0 0 30 48 64 0.515299953858481
+0 0 2 0 0 31 48 64 0.55161121918728
+0 0 2 0 0 32 48 64 0.581878916566594
+0 0 2 0 0 33 48 64 0.605771426770014
+0 0 2 0 0 34 48 64 0.62302697845592
+0 0 2 0 0 35 48 64 0.633456516189086
+0 0 2 0 0 36 48 64 0.636945771771587
+0 0 2 0 0 37 48 64 0.633456516189086
+0 0 2 0 0 38 48 64 0.62302697845592
+0 0 2 0 0 39 48 64 0.605771426770014
+0 0 2 0 0 40 48 64 0.581878916566594
+0 0 2 0 0 41 48 64 0.55161121918728
+0 0 2 0 0 42 48 64 0.515299953858481
+0 0 2 0 0 43 48 64 0.47334295440176
+0 0 2 0 0 44 48 64 0.426199910483233
+0 0 2 0 0 45 48 64 0.374387331157387
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -0.196827067972686
+0 0 1 0 0 20 48 64 -0.0665789627081124
+0 0 1 0 0 22 48 64 0.0665789627081145
+0 0 1 0 0 24 48 64 0.196827067972688
+0 0 1 0 0 26 48 64 0.318472885885794
+0 0 1 0 0 28 48 64 0.426199910483233
+0 0 1 0 0 30 48 64 0.515299953858481
+0 0 1 0 0 32 48 64 0.581878916566594
+0 0 1 0 0 34 48 64 0.62302697845592
+0 0 1 0 0 36 48 64 0.636945771771587
+0 0 1 0 0 38 48 64 0.62302697845592
+0 0 1 0 0 40 48 64 0.581878916566594
+0 0 1 0 0 42 48 64 0.515299953858481
+0 0 1 0 0 44 48 64 0.426199910483233
+0 0 1 0 0 46 48 64 0.318472885885794
+0 0 1 0 0 48 48 64 0.196827067972688
+0 0 1 0 0 50 48 64 0.0665789627081145
+0 0 1 0 0 52 48 64 -0.0665789627081126
+0 0 1 0 0 54 48 64 -0.196827067972686
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -0.515299953858482
+0 0 0 0 0 4 48 64 -0.62302697845592
+0 0 0 0 0 8 48 64 -0.62302697845592
+0 0 0 0 0 12 48 64 -0.51529995385848
+0 0 0 0 0 16 48 64 -0.318472885885792
+0 0 0 0 0 20 48 64 -0.0665789627081124
+0 0 0 0 0 24 48 64 0.196827067972688
+0 0 0 0 0 28 48 64 0.426199910483233
+0 0 0 0 0 32 48 64 0.581878916566594
+0 0 0 0 0 36 48 64 0.636945771771587
+0 0 0 0 0 40 48 64 0.581878916566594
+0 0 0 0 0 44 48 64 0.426199910483233
+0 0 0 0 0 48 48 64 0.196827067972688
+0 0 0 0 0 52 48 64 -0.0665789627081126
+0 0 0 0 0 56 48 64 -0.318472885885792
+0 0 0 0 0 60 48 64 -0.51529995385848
+0 0 0 0 0 64 48 64 -0.62302697845592
+0 0 0 0 0 68 48 64 -0.62302697845592
+0 0 0 0 0 72 48 64 -0.515299953858482
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0.415209098701788
+1 0 2 0 0 28 48 64 0.463442390111039
+1 0 2 0 0 29 48 64 0.506720764229297
+1 0 2 0 0 30 48 64 0.544285038367555
+1 0 2 0 0 31 48 64 0.575886011726491
+1 0 2 0 0 32 48 64 0.601177457429056
+1 0 2 0 0 33 48 64 0.619882277103558
+1 0 2 0 0 34 48 64 0.631795536831408
+1 0 2 0 0 35 48 64 0.636786712446016
+1 0 2 0 0 36 48 64 0.63480111958288
+1 0 2 0 0 37 48 64 0.625860512812919
+1 0 2 0 0 38 48 64 0.610062847294848
+1 0 2 0 0 39 48 64 0.587581205557956
+1 0 2 0 0 40 48 64 0.558661901173699
+1 0 2 0 0 41 48 64 0.523621780092664
+1 0 2 0 0 42 48 64 0.482844749214032
+1 0 2 0 0 43 48 64 0.436777570221252
+1 0 2 0 0 44 48 64 0.386133747478479
+1 0 2 0 0 45 48 64 0.331051619143378
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0.453478940794559
+2 0 2 0 0 28 48 64 0.497773510679683
+2 0 2 0 0 29 48 64 0.536688967511857
+2 0 2 0 0 30 48 64 0.569597092812548
+2 0 2 0 0 31 48 64 0.596276401871507
+2 0 2 0 0 32 48 64 0.616420941848547
+2 0 2 0 0 33 48 64 0.62981184499232
+2 0 2 0 0 34 48 64 0.636302397765754
+2 0 2 0 0 35 48 64 0.63582148831443
+2 0 2 0 0 36 48 64 0.628374385582933
+2 0 2 0 0 37 48 64 0.614042681587195
+2 0 2 0 0 38 48 64 0.592983397475296
+2 0 2 0 0 39 48 64 0.565427263170904
+2 0 2 0 0 40 48 64 0.53167618944795
+2 0 2 0 0 41 48 64 0.492099960133009
+2 0 2 0 0 42 48 64 0.447134420187562
+2 0 2 0 0 43 48 64 0.397278083529842
+2 0 2 0 0 44 48 64 0.343265013492209
+2 0 2 0 0 45 48 64 0.285282407381633
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -0.0973195350500494
+2 0 1 0 0 20 48 64 0.0356668155049764
+2 0 1 0 0 22 48 64 0.169077922714169
+2 0 1 0 0 24 48 64 0.293071522772708
+2 0 1 0 0 26 48 64 0.404256490972886
+2 0 1 0 0 28 48 64 0.497773510679683
+2 0 1 0 0 30 48 64 0.569597092812548
+2 0 1 0 0 32 48 64 0.616420941848547
+2 0 1 0 0 34 48 64 0.636302397765754
+2 0 1 0 0 36 48 64 0.628374385582933
+2 0 1 0 0 38 48 64 0.592983397475296
+2 0 1 0 0 40 48 64 0.53167618944795
+2 0 1 0 0 42 48 64 0.447134420187562
+2 0 1 0 0 44 48 64 0.343265013492209
+2 0 1 0 0 46 48 64 0.22419968498093
+2 0 1 0 0 48 48 64 0.0953357544065353
+2 0 1 0 0 50 48 64 -0.0376948061071308
+2 0 1 0 0 52 48 64 -0.167163605655932
+2 0 1 0 0 54 48 64 -0.291147369612687
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0.488470782327327
+3 0 2 0 0 28 48 64 0.528554108613341
+3 0 2 0 0 29 48 64 0.563043782114253
+3 0 2 0 0 30 48 64 0.591062482933432
+3 0 2 0 0 31 48 64 0.612645321142796
+3 0 2 0 0 32 48 64 0.627506422186431
+3 0 2 0 0 33 48 64 0.635493090592529
+3 0 2 0 0 34 48 64 0.636517106211236
+3 0 2 0 0 35 48 64 0.630567307214526
+3 0 2 0 0 36 48 64 0.617708880845281
+3 0 2 0 0 37 48 64 0.598082706713601
+3 0 2 0 0 38 48 64 0.571903813290315
+3 0 2 0 0 39 48 64 0.539459022010052
+3 0 2 0 0 40 48 64 0.501103874780317
+3 0 2 0 0 41 48 64 0.457259140689453
+3 0 2 0 0 42 48 64 0.40841484135673
+3 0 2 0 0 43 48 64 0.355110279896867
+3 0 2 0 0 44 48 64 0.298338684858483
+3 0 2 0 0 45 48 64 0.237875601223406
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0.520428747659601
+4 0 2 0 0 28 48 64 0.555997238437288
+4 0 2 0 0 29 48 64 0.585602740906243
+4 0 2 0 0 30 48 64 0.608534466478922
+4 0 2 0 0 31 48 64 0.624883166541849
+4 0 2 0 0 32 48 64 0.634358701063624
+4 0 2 0 0 33 48 64 0.636887661799231
+4 0 2 0 0 34 48 64 0.632438163105044
+4 0 2 0 0 35 48 64 0.621059569207628
+4 0 2 0 0 36 48 64 0.602876514907985
+4 0 2 0 0 37 48 64 0.578088219350988
+4 0 2 0 0 38 48 64 0.546966270477068
+4 0 2 0 0 39 48 64 0.509851675025422
+4 0 2 0 0 40 48 64 0.467151693939592
+4 0 2 0 0 41 48 64 0.419335826201633
+4 0 2 0 0 42 48 64 0.366951132038764
+4 0 2 0 0 43 48 64 0.31055931651234
+4 0 2 0 0 44 48 64 0.251106436132613
+4 0 2 0 0 45 48 64 0.188536092335439
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 0.00664574421749242
+4 0 1 0 0 20 48 64 0.139079131940516
+4 0 1 0 0 22 48 64 0.267168672263801
+4 0 1 0 0 24 48 64 0.381444723732171
+4 0 1 0 0 26 48 64 0.479205430551592
+4 0 1 0 0 28 48 64 0.555997238437288
+4 0 1 0 0 30 48 64 0.608534466478922
+4 0 1 0 0 32 48 64 0.634358701063624
+4 0 1 0 0 34 48 64 0.632438163105044
+4 0 1 0 0 36 48 64 0.602876514907985
+4 0 1 0 0 38 48 64 0.546966270477068
+4 0 1 0 0 40 48 64 0.467151693939592
+4 0 1 0 0 42 48 64 0.366951132038764
+4 0 1 0 0 44 48 64 0.251106436132613
+4 0 1 0 0 46 48 64 0.123895196481674
+4 0 1 0 0 48 48 64 -0.00870905206088087
+4 0 1 0 0 50 48 64 -0.140871868994753
+4 0 1 0 0 52 48 64 -0.265429365246958
+4 0 1 0 0 54 48 64 -0.379908726375628
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -0.608492170320791
+4 0 0 0 0 4 48 64 -0.633457407715208
+4 0 0 0 0 8 48 64 -0.548892104535778
+4 0 0 0 0 12 48 64 -0.369418369953888
+4 0 0 0 0 16 48 64 -0.126068843146438
+4 0 0 0 0 20 48 64 0.139079131940516
+4 0 0 0 0 24 48 64 0.381444723732171
+4 0 0 0 0 28 48 64 0.555997238437288
+4 0 0 0 0 32 48 64 0.634358701063624
+4 0 0 0 0 36 48 64 0.602876514907985
+4 0 0 0 0 40 48 64 0.467151693939592
+4 0 0 0 0 44 48 64 0.251106436132613
+4 0 0 0 0 48 48 64 -0.00870905206088087
+4 0 0 0 0 52 48 64 -0.265429365246958
+4 0 0 0 0 56 48 64 -0.478313108700085
+4 0 0 0 0 60 48 64 -0.608492170320791
+4 0 0 0 0 64 48 64 -0.633457407715208
+4 0 0 0 0 68 48 64 -0.548892104535778
+4 0 0 0 0 72 48 64 -0.369418369953888
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0.548671716637726
+5 0 2 0 0 28 48 64 0.579511990105486
+5 0 2 0 0 29 48 64 0.604212729667995
+5 0 2 0 0 30 48 64 0.621895429381323
+5 0 2 0 0 31 48 64 0.632908205148661
+5 0 2 0 0 32 48 64 0.636930754567794
+5 0 2 0 0 33 48 64 0.633986208601161
+5 0 2 0 0 34 48 64 0.624093016065301
+5 0 2 0 0 35 48 64 0.607362373541029
+5 0 2 0 0 36 48 64 0.58397731091608
+5 0 2 0 0 37 48 64 0.554194073175253
+5 0 2 0 0 38 48 64 0.518339004494465
+5 0 2 0 0 39 48 64 0.476805095685047
+5 0 2 0 0 40 48 64 0.43004983326259
+5 0 2 0 0 41 48 64 0.378587818452475
+5 0 2 0 0 42 48 64 0.323026317797251
+5 0 2 0 0 43 48 64 0.263923161260514
+5 0 2 0 0 44 48 64 0.202495145593503
+5 0 2 0 0 45 48 64 0.138267322671338
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0.573427336349663
+6 0 2 0 0 28 48 64 0.59929533363328
+6 0 2 0 0 29 48 64 0.618744058306444
+6 0 2 0 0 30 48 64 0.63105619572436
+6 0 2 0 0 31 48 64 0.636666841978703
+6 0 2 0 0 32 48 64 0.635204159619726
+6 0 2 0 0 33 48 64 0.626808494384442
+6 0 2 0 0 34 48 64 0.611537830338987
+6 0 2 0 0 35 48 64 0.589568091501506
+6 0 2 0 0 36 48 64 0.561138730770607
+6 0 2 0 0 37 48 64 0.526561442935419
+6 0 2 0 0 38 48 64 0.486215241910134
+6 0 2 0 0 39 48 64 0.440542597540113
+6 0 2 0 0 40 48 64 0.390050448904898
+6 0 2 0 0 41 48 64 0.335292139187568
+6 0 2 0 0 42 48 64 0.276937991261975
+6 0 2 0 0 43 48 64 0.215514844045134
+6 0 2 0 0 44 48 64 0.152195853814852
+6 0 2 0 0 45 48 64 0.0867144527560678
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0.108142445428163
+6 0 1 0 0 20 48 64 0.236597711331569
+6 0 1 0 0 22 48 64 0.358190960248211
+6 0 1 0 0 24 48 64 0.459529909846979
+6 0 1 0 0 26 48 64 0.541309732279853
+6 0 1 0 0 28 48 64 0.59929533363328
+6 0 1 0 0 30 48 64 0.63105619572436
+6 0 1 0 0 32 48 64 0.635204159619726
+6 0 1 0 0 34 48 64 0.611537830338987
+6 0 1 0 0 36 48 64 0.561138730770607
+6 0 1 0 0 38 48 64 0.486215241910134
+6 0 1 0 0 40 48 64 0.390050448904898
+6 0 1 0 0 42 48 64 0.276937991261975
+6 0 1 0 0 44 48 64 0.152195853814852
+6 0 1 0 0 46 48 64 0.0202583057932263
+6 0 1 0 0 48 48 64 -0.112477193494334
+6 0 1 0 0 50 48 64 -0.240209113822161
+6 0 1 0 0 52 48 64 -0.354596862110213
+6 0 1 0 0 54 48 64 -0.456605980688555
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0.594160091951463
+7 0 2 0 0 28 48 64 0.61490507221379
+7 0 2 0 0 29 48 64 0.629099330915044
+7 0 2 0 0 30 48 64 0.635957776881836
+7 0 2 0 0 31 48 64 0.636133762800463
+7 0 2 0 0 32 48 64 0.629189408707554
+7 0 2 0 0 33 48 64 0.615403268682931
+7 0 2 0 0 34 48 64 0.594857050277953
+7 0 2 0 0 35 48 64 0.567796753770568
+7 0 2 0 0 36 48 64 0.534514814654423
+7 0 2 0 0 37 48 64 0.495376757521015
+7 0 2 0 0 38 48 64 0.450811997724897
+7 0 2 0 0 39 48 64 0.401309520087472
+7 0 2 0 0 40 48 64 0.347425820508212
+7 0 2 0 0 41 48 64 0.289742729730598
+7 0 2 0 0 42 48 64 0.228996994068136
+7 0 2 0 0 43 48 64 0.16565701444677
+7 0 2 0 0 44 48 64 0.101202924513235
+7 0 2 0 0 45 48 64 0.0349342582130777
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0.611045409887396
+8 0 2 0 0 28 48 64 0.626488604782643
+8 0 2 0 0 29 48 64 0.635205954932862
+8 0 2 0 0 30 48 64 0.63656965963862
+8 0 2 0 0 31 48 64 0.631312006545569
+8 0 2 0 0 32 48 64 0.618926146155333
+8 0 2 0 0 33 48 64 0.5998478902699
+8 0 2 0 0 34 48 64 0.574162773087344
+8 0 2 0 0 35 48 64 0.542195254708906
+8 0 2 0 0 36 48 64 0.504285141633512
+8 0 2 0 0 37 48 64 0.460850478128889
+8 0 2 0 0 38 48 64 0.412368725545547
+8 0 2 0 0 39 48 64 0.359371606917715
+8 0 2 0 0 40 48 64 0.302466210339293
+8 0 2 0 0 41 48 64 0.242248071258209
+8 0 2 0 0 42 48 64 0.179524651499154
+8 0 2 0 0 43 48 64 0.114683077073106
+8 0 2 0 0 44 48 64 0.0491849031164616
+8 0 2 0 0 45 48 64 -0.017445878487619
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0.20968420398198
+8 0 1 0 0 20 48 64 0.330575978767116
+8 0 1 0 0 22 48 64 0.439660375301469
+8 0 1 0 0 24 48 64 0.525204060989606
+8 0 1 0 0 26 48 64 0.588905958761368
+8 0 1 0 0 28 48 64 0.626488604782643
+8 0 1 0 0 30 48 64 0.63656965963862
+8 0 1 0 0 32 48 64 0.618926146155333
+8 0 1 0 0 34 48 64 0.574162773087344
+8 0 1 0 0 36 48 64 0.504285141633512
+8 0 1 0 0 38 48 64 0.412368725545547
+8 0 1 0 0 40 48 64 0.302466210339293
+8 0 1 0 0 42 48 64 0.179524651499154
+8 0 1 0 0 44 48 64 0.0491849031164616
+8 0 1 0 0 46 48 64 -0.0839154065506538
+8 0 1 0 0 48 48 64 -0.213164280783148
+8 0 1 0 0 50 48 64 -0.333101480511354
+8 0 1 0 0 52 48 64 -0.436925889369356
+8 0 1 0 0 54 48 64 -0.52361818793217
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -0.638086200378305
+8 0 0 0 0 4 48 64 -0.577480248216561
+8 0 0 0 0 8 48 64 -0.417022714894814
+8 0 0 0 0 12 48 64 -0.184458165635327
+8 0 0 0 0 16 48 64 0.0800008762123353
+8 0 0 0 0 20 48 64 0.330575978767116
+8 0 0 0 0 24 48 64 0.525204060989606
+8 0 0 0 0 28 48 64 0.626488604782643
+8 0 0 0 0 32 48 64 0.618926146155333
+8 0 0 0 0 36 48 64 0.504285141633512
+8 0 0 0 0 40 48 64 0.302466210339293
+8 0 0 0 0 44 48 64 0.0491849031164616
+8 0 0 0 0 48 48 64 -0.213164280783148
+8 0 0 0 0 52 48 64 -0.436925889369356
+8 0 0 0 0 56 48 64 -0.588361251663493
+8 0 0 0 0 60 48 64 -0.638086200378305
+8 0 0 0 0 64 48 64 -0.577480248216561
+8 0 0 0 0 68 48 64 -0.417022714894814
+8 0 0 0 0 72 48 64 -0.184458165635327
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0.623706319738857
+9 0 2 0 0 28 48 64 0.63376527138927
+9 0 2 0 0 29 48 64 0.637025157945825
+9 0 2 0 0 30 48 64 0.632891063854723
+9 0 2 0 0 31 48 64 0.622232974196344
+9 0 2 0 0 32 48 64 0.604483147556828
+9 0 2 0 0 33 48 64 0.580247693053203
+9 0 2 0 0 34 48 64 0.549593963782722
+9 0 2 0 0 35 48 64 0.512936375305374
+9 0 2 0 0 36 48 64 0.470653621489612
+9 0 2 0 0 37 48 64 0.423215728697588
+9 0 2 0 0 38 48 64 0.37114579462717
+9 0 2 0 0 39 48 64 0.315013162267719
+9 0 2 0 0 40 48 64 0.255477456121705
+9 0 2 0 0 41 48 64 0.193128772789227
+9 0 2 0 0 42 48 64 0.128851579171497
+9 0 2 0 0 43 48 64 0.0629329399379178
+9 0 2 0 0 44 48 64 -0.00282097332470717
+9 0 2 0 0 45 48 64 -0.0693425258313226
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0.63226258972111
+10 0 2 0 0 28 48 64 0.636828625350526
+10 0 2 0 0 29 48 64 0.634543111298931
+10 0 2 0 0 30 48 64 0.624948639700647
+10 0 2 0 0 31 48 64 0.608956358353023
+10 0 2 0 0 32 48 64 0.58595806783613
+10 0 2 0 0 33 48 64 0.556735124905607
+10 0 2 0 0 34 48 64 0.521315540588543
+10 0 2 0 0 35 48 64 0.480217626748754
+10 0 2 0 0 36 48 64 0.433847130934919
+10 0 2 0 0 37 48 64 0.382726780761295
+10 0 2 0 0 38 48 64 0.327422764409982
+10 0 2 0 0 39 48 64 0.268534983861933
+10 0 2 0 0 40 48 64 0.206778434804553
+10 0 2 0 0 41 48 64 0.142715257625943
+10 0 2 0 0 42 48 64 0.0773155042236337
+10 0 2 0 0 43 48 64 0.0107528663652538
+10 0 2 0 0 44 48 64 -0.0551604504938584
+10 0 2 0 0 45 48 64 -0.121137651207538
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0.303082592512178
+10 0 1 0 0 20 48 64 0.413389223059417
+10 0 1 0 0 22 48 64 0.509361614154467
+10 0 1 0 0 24 48 64 0.576697664824444
+10 0 1 0 0 26 48 64 0.620718598327536
+10 0 1 0 0 28 48 64 0.636828625350526
+10 0 1 0 0 30 48 64 0.624948639700647
+10 0 1 0 0 32 48 64 0.58595806783613
+10 0 1 0 0 34 48 64 0.521315540588543
+10 0 1 0 0 36 48 64 0.433847130934919
+10 0 1 0 0 38 48 64 0.327422764409982
+10 0 1 0 0 40 48 64 0.206778434804553
+10 0 1 0 0 42 48 64 0.0773155042236337
+10 0 1 0 0 44 48 64 -0.0551604504938584
+10 0 1 0 0 46 48 64 -0.185812767644383
+10 0 1 0 0 48 48 64 -0.30807669592035
+10 0 1 0 0 50 48 64 -0.417093885521473
+10 0 1 0 0 52 48 64 -0.505656467894159
+10 0 1 0 0 54 48 64 -0.574969914684432
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 0.636505848718193
+11 0 2 0 0 28 48 64 0.635567916648392
+11 0 2 0 0 29 48 64 0.627779864399493
+11 0 2 0 0 30 48 64 0.612797626264639
+11 0 2 0 0 31 48 64 0.591569961709317
+11 0 2 0 0 32 48 64 0.563476798288332
+11 0 2 0 0 33 48 64 0.529468691615408
+11 0 2 0 0 34 48 64 0.489517352854757
+11 0 2 0 0 35 48 64 0.444259919171929
+11 0 2 0 0 36 48 64 0.394114008983325
+11 0 2 0 0 37 48 64 0.339657389339568
+11 0 2 0 0 38 48 64 0.281496433800044
+11 0 2 0 0 39 48 64 0.220252101357702
+11 0 2 0 0 40 48 64 0.156698490498616
+11 0 2 0 0 41 48 64 0.0913455520215617
+11 0 2 0 0 42 48 64 0.0252599806584213
+11 0 2 0 0 43 48 64 -0.0415076725744994
+11 0 2 0 0 44 48 64 -0.106779805947013
+11 0 2 0 0 45 48 64 -0.171749851824256
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 0.636496952827747
+12 0 2 0 0 28 48 64 0.630020061955539
+12 0 2 0 0 29 48 64 0.616779625275
+12 0 2 0 0 30 48 64 0.596519428010902
+12 0 2 0 0 31 48 64 0.570189344535722
+12 0 2 0 0 32 48 64 0.537192529623516
+12 0 2 0 0 33 48 64 0.498631767023083
+12 0 2 0 0 34 48 64 0.454413060445946
+12 0 2 0 0 35 48 64 0.405306063187321
+12 0 2 0 0 36 48 64 0.351722424682695
+12 0 2 0 0 37 48 64 0.294298972138641
+12 0 2 0 0 38 48 64 0.233678660582467
+12 0 2 0 0 39 48 64 0.170491367042271
+12 0 2 0 0 40 48 64 0.105574950270094
+12 0 2 0 0 41 48 64 0.0393632346682347
+12 0 2 0 0 42 48 64 -0.0269675243232683
+12 0 2 0 0 43 48 64 -0.0934977504090493
+12 0 2 0 0 44 48 64 -0.158030280498831
+12 0 2 0 0 45 48 64 -0.221561027205077
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0.391103401878387
+12 0 1 0 0 20 48 64 0.487579014604386
+12 0 1 0 0 22 48 64 0.565369798073024
+12 0 1 0 0 24 48 64 0.612638068689936
+12 0 1 0 0 26 48 64 0.635893019254917
+12 0 1 0 0 28 48 64 0.630020061955539
+12 0 1 0 0 30 48 64 0.596519428010902
+12 0 1 0 0 32 48 64 0.537192529623516
+12 0 1 0 0 34 48 64 0.454413060445946
+12 0 1 0 0 36 48 64 0.351722424682695
+12 0 1 0 0 38 48 64 0.233678660582467
+12 0 1 0 0 40 48 64 0.105574950270094
+12 0 1 0 0 42 48 64 -0.0269675243232683
+12 0 1 0 0 44 48 64 -0.158030280498831
+12 0 1 0 0 46 48 64 -0.282684492328197
+12 0 1 0 0 48 48 64 -0.394694398830679
+12 0 1 0 0 50 48 64 -0.490017090555419
+12 0 1 0 0 52 48 64 -0.563041924061363
+12 0 1 0 0 54 48 64 -0.61280473737383
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -0.600802501898698
+12 0 0 0 0 4 48 64 -0.460809125595699
+12 0 0 0 0 8 48 64 -0.241138371155451
+12 0 0 0 0 12 48 64 0.0202258026743178
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+12 0 0 0 0 20 48 64 0.487579014604386
+12 0 0 0 0 24 48 64 0.612638068689936
+12 0 0 0 0 28 48 64 0.630020061955539
+12 0 0 0 0 32 48 64 0.537192529623516
+12 0 0 0 0 36 48 64 0.351722424682695
+12 0 0 0 0 40 48 64 0.105574950270094
+12 0 0 0 0 44 48 64 -0.158030280498831
+12 0 0 0 0 48 48 64 -0.394694398830679
+12 0 0 0 0 52 48 64 -0.563041924061363
+12 0 0 0 0 56 48 64 -0.636889757172914
+12 0 0 0 0 60 48 64 -0.600802501898698
+12 0 0 0 0 64 48 64 -0.460809125595699
+12 0 0 0 0 68 48 64 -0.241138371155451
+12 0 0 0 0 72 48 64 0.0202258026743178
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 0.632202373404891
+13 0 2 0 0 28 48 64 0.620247722431662
+13 0 2 0 0 29 48 64 0.601619516716176
+13 0 2 0 0 30 48 64 0.576222943416679
+13 0 2 0 0 31 48 64 0.54495727656921
+13 0 2 0 0 32 48 64 0.507284443009357
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+13 0 2 0 0 34 48 64 0.416238907051783
+13 0 2 0 0 35 48 64 0.363619115476454
+13 0 2 0 0 36 48 64 0.30695862581087
+13 0 2 0 0 37 48 64 0.24695862303276
+13 0 2 0 0 38 48 64 0.184293970961242
+13 0 2 0 0 39 48 64 0.119588965476545
+13 0 2 0 0 40 48 64 0.0537507941011856
+13 0 2 0 0 41 48 64 -0.0128845331948327
+13 0 2 0 0 42 48 64 -0.0790174279502527
+13 0 2 0 0 43 48 64 -0.144866998951517
+13 0 2 0 0 44 48 64 -0.20786993130457
+13 0 2 0 0 45 48 64 -0.269521915437951
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 0.623621272900914
+14 0 2 0 0 28 48 64 0.606230011023529
+14 0 2 0 0 29 48 64 0.582399659901089
+14 0 2 0 0 30 48 64 0.55204222708419
+14 0 2 0 0 31 48 64 0.51604293839339
+14 0 2 0 0 32 48 64 0.473956212819899
+14 0 2 0 0 33 48 64 0.427096541106883
+14 0 2 0 0 34 48 64 0.37525236442905
+14 0 2 0 0 35 48 64 0.319480581300334
+14 0 2 0 0 36 48 64 0.260125069911505
+14 0 2 0 0 37 48 64 0.197956954046317
+14 0 2 0 0 38 48 64 0.133677006896174
+14 0 2 0 0 39 48 64 0.0678879098436288
+14 0 2 0 0 40 48 64 0.00157250430686549
+14 0 2 0 0 41 48 64 -0.0650489124107063
+14 0 2 0 0 42 48 64 -0.130540029272946
+14 0 2 0 0 43 48 64 -0.19526927389418
+14 0 2 0 0 44 48 64 -0.256646072645812
+14 0 2 0 0 45 48 64 -0.316003682372278
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0.466481964760648
+14 0 1 0 0 20 48 64 0.546853865475707
+14 0 1 0 0 22 48 64 0.606172368933851
+14 0 1 0 0 24 48 64 0.632092569284521
+14 0 1 0 0 26 48 64 0.634017082978433
+14 0 1 0 0 28 48 64 0.606230011023529
+14 0 1 0 0 30 48 64 0.55204222708419
+14 0 1 0 0 32 48 64 0.473956212819899
+14 0 1 0 0 34 48 64 0.37525236442905
+14 0 1 0 0 36 48 64 0.260125069911505
+14 0 1 0 0 38 48 64 0.133677006896174
+14 0 1 0 0 40 48 64 0.00157250430686549
+14 0 1 0 0 42 48 64 -0.130540029272946
+14 0 1 0 0 44 48 64 -0.256646072645812
+14 0 1 0 0 46 48 64 -0.371926539347738
+14 0 1 0 0 48 48 64 -0.470750486569909
+14 0 1 0 0 50 48 64 -0.549947205575274
+14 0 1 0 0 52 48 64 -0.604103608026255
+14 0 1 0 0 54 48 64 -0.633352363771786
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 0.610898162657094
+15 0 2 0 0 28 48 64 0.588202168451256
+15 0 2 0 0 29 48 64 0.559251661561707
+15 0 2 0 0 30 48 64 0.524137890277866
+15 0 2 0 0 31 48 64 0.483640894281557
+15 0 2 0 0 32 48 64 0.437434296877636
+15 0 2 0 0 33 48 64 0.386877566714143
+15 0 2 0 0 34 48 64 0.331730613198177
+15 0 2 0 0 35 48 64 0.27318848707141
+15 0 2 0 0 36 48 64 0.211538432062192
+15 0 2 0 0 37 48 64 0.14762576897733
+15 0 2 0 0 38 48 64 0.0821698821639728
+15 0 2 0 0 39 48 64 0.015735586188322
+15 0 2 0 0 40 48 64 -0.0506119154770919
+15 0 2 0 0 41 48 64 -0.116781358383583
+15 0 2 0 0 42 48 64 -0.181188098553843
+15 0 2 0 0 43 48 64 -0.244363345811633
+15 0 2 0 0 44 48 64 -0.303358673561193
+15 0 2 0 0 45 48 64 -0.360021035804323
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 0.593968557425158
+16 0 2 0 0 28 48 64 0.566085781141471
+16 0 2 0 0 29 48 64 0.532328892663735
+16 0 2 0 0 30 48 64 0.492694664368078
+16 0 2 0 0 31 48 64 0.447969808483244
+16 0 2 0 0 32 48 64 0.397966208876159
+16 0 2 0 0 33 48 64 0.344043975926546
+16 0 2 0 0 34 48 64 0.285968822014199
+16 0 2 0 0 35 48 64 0.225055334080205
+16 0 2 0 0 36 48 64 0.161527479661504
+16 0 2 0 0 37 48 64 0.0963055859731685
+16 0 2 0 0 38 48 64 0.0301195338258017
+16 0 2 0 0 39 48 64 -0.0365186116284733
+16 0 2 0 0 40 48 64 -0.102454829400577
+16 0 2 0 0 41 48 64 -0.167735686528294
+16 0 2 0 0 42 48 64 -0.230619013424466
+16 0 2 0 0 43 48 64 -0.291818537058967
+16 0 2 0 0 44 48 64 -0.348341077704501
+16 0 2 0 0 45 48 64 -0.401922617971836
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0.531603118307914
+16 0 1 0 0 20 48 64 0.593310938315484
+16 0 1 0 0 22 48 64 0.630624592034147
+16 0 1 0 0 24 48 64 0.634574273339818
+16 0 1 0 0 26 48 64 0.615131806016331
+16 0 1 0 0 28 48 64 0.566085781141471
+16 0 1 0 0 30 48 64 0.492694664368078
+16 0 1 0 0 32 48 64 0.397966208876159
+16 0 1 0 0 34 48 64 0.285968822014199
+16 0 1 0 0 36 48 64 0.161527479661504
+16 0 1 0 0 38 48 64 0.0301195338258017
+16 0 1 0 0 40 48 64 -0.102454829400577
+16 0 1 0 0 42 48 64 -0.230619013424466
+16 0 1 0 0 44 48 64 -0.348341077704501
+16 0 1 0 0 46 48 64 -0.451155527889091
+16 0 1 0 0 48 48 64 -0.534265783980402
+16 0 1 0 0 50 48 64 -0.595355927616416
+16 0 1 0 0 52 48 64 -0.630501069737072
+16 0 1 0 0 54 48 64 -0.637960561846835
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -0.500393207909176
+16 0 0 0 0 4 48 64 -0.295556213534704
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+16 0 0 0 0 12 48 64 0.223141489093588
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+16 0 0 0 0 24 48 64 0.634574273339818
+16 0 0 0 0 28 48 64 0.566085781141471
+16 0 0 0 0 32 48 64 0.397966208876159
+16 0 0 0 0 36 48 64 0.161527479661504
+16 0 0 0 0 40 48 64 -0.102454829400577
+16 0 0 0 0 44 48 64 -0.348341077704501
+16 0 0 0 0 48 48 64 -0.534265783980402
+16 0 0 0 0 52 48 64 -0.630501069737072
+16 0 0 0 0 56 48 64 -0.618563509284066
+16 0 0 0 0 60 48 64 -0.500393207909176
+16 0 0 0 0 64 48 64 -0.295556213534704
+16 0 0 0 0 68 48 64 -0.0396264363127427
+16 0 0 0 0 72 48 64 0.223141489093588
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 0.573152664278081
+17 0 2 0 0 28 48 64 0.540283459745804
+17 0 2 0 0 29 48 64 0.501814436937376
+17 0 2 0 0 30 48 64 0.457922471114267
+17 0 2 0 0 31 48 64 0.409270961111696
+17 0 2 0 0 32 48 64 0.355818714036642
+17 0 2 0 0 33 48 64 0.29888333569975
+17 0 2 0 0 34 48 64 0.238278190612704
+17 0 2 0 0 35 48 64 0.175405942988955
+17 0 2 0 0 36 48 64 0.110430806813117
+17 0 2 0 0 37 48 64 0.0443430446402389
+17 0 2 0 0 38 48 64 -0.022124840380498
+17 0 2 0 0 39 48 64 -0.0885255381027799
+17 0 2 0 0 40 48 64 -0.153610806864127
+17 0 2 0 0 41 48 64 -0.217570329262834
+17 0 2 0 0 42 48 64 -0.27849802709417
+17 0 2 0 0 43 48 64 -0.337313788332648
+17 0 2 0 0 44 48 64 -0.390665136447914
+17 0 2 0 0 45 48 64 -0.440816209803417
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 0.54832279160353
+18 0 2 0 0 28 48 64 0.510661000713712
+18 0 2 0 0 29 48 64 0.467911520545676
+18 0 2 0 0 30 48 64 0.420053554941212
+18 0 2 0 0 31 48 64 0.367806536191394
+18 0 2 0 0 32 48 64 0.311276072433398
+18 0 2 0 0 33 48 64 0.251699558111786
+18 0 2 0 0 34 48 64 0.188983734364185
+18 0 2 0 0 35 48 64 0.124575198545098
+18 0 2 0 0 36 48 64 0.0585944307861043
+18 0 2 0 0 37 48 64 -0.0079117475989604
+18 0 2 0 0 38 48 64 -0.0742141752410136
+18 0 2 0 0 39 48 64 -0.139938443625143
+18 0 2 0 0 40 48 64 -0.20373851197721
+18 0 2 0 0 41 48 64 -0.265950738778782
+18 0 2 0 0 42 48 64 -0.324500243176147
+18 0 2 0 0 43 48 64 -0.38054492704935
+18 0 2 0 0 44 48 64 -0.430640232667373
+18 0 2 0 0 45 48 64 -0.477017290193992
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0.580897038468168
+18 0 1 0 0 20 48 64 0.622686329213327
+18 0 1 0 0 22 48 64 0.638087199718044
+18 0 1 0 0 24 48 64 0.620065806580272
+18 0 1 0 0 26 48 64 0.579729882362324
+18 0 1 0 0 28 48 64 0.510661000713712
+18 0 1 0 0 30 48 64 0.420053554941212
+18 0 1 0 0 32 48 64 0.311276072433398
+18 0 1 0 0 34 48 64 0.188983734364185
+18 0 1 0 0 36 48 64 0.0585944307861043
+18 0 1 0 0 38 48 64 -0.0742141752410136
+18 0 1 0 0 40 48 64 -0.20373851197721
+18 0 1 0 0 42 48 64 -0.324500243176147
+18 0 1 0 0 44 48 64 -0.430640232667373
+18 0 1 0 0 46 48 64 -0.518274479953211
+18 0 1 0 0 48 48 64 -0.583612917574238
+18 0 1 0 0 50 48 64 -0.6250283578753
+18 0 1 0 0 52 48 64 -0.63953055083704
+18 0 1 0 0 54 48 64 -0.625432040746077
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 0.519968679719117
+19 0 2 0 0 28 48 64 0.477779253509716
+19 0 2 0 0 29 48 64 0.430850499258588
+19 0 2 0 0 30 48 64 0.379342883250796
+19 0 2 0 0 31 48 64 0.323857729564015
+19 0 2 0 0 32 48 64 0.264638202445534
+19 0 2 0 0 33 48 64 0.202811068231496
+19 0 2 0 0 34 48 64 0.138421806503409
+19 0 2 0 0 35 48 64 0.0729057082532856
+19 0 2 0 0 36 48 64 0.00636927050226258
+19 0 2 0 0 37 48 64 -0.0601078583628118
+19 0 2 0 0 38 48 64 -0.125801696832981
+19 0 2 0 0 39 48 64 -0.190415033656778
+19 0 2 0 0 40 48 64 -0.252502632374234
+19 0 2 0 0 41 48 64 -0.312551928035932
+19 0 2 0 0 42 48 64 -0.368314151561159
+19 0 2 0 0 43 48 64 -0.421221795620533
+19 0 2 0 0 44 48 64 -0.467438205861365
+19 0 2 0 0 45 48 64 -0.509752468902151
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 0.487901850703798
+20 0 2 0 0 28 48 64 0.441451268312309
+20 0 2 0 0 29 48 64 0.39087924492135
+20 0 2 0 0 30 48 64 0.33606474799889
+20 0 2 0 0 31 48 64 0.277722629586834
+20 0 2 0 0 32 48 64 0.216218835279807
+20 0 2 0 0 33 48 64 0.152548734478687
+20 0 2 0 0 34 48 64 0.0869373803926751
+20 0 2 0 0 35 48 64 0.0207453965184035
+20 0 2 0 0 36 48 64 -0.0458914513819466
+20 0 2 0 0 37 48 64 -0.111896080998752
+20 0 2 0 0 38 48 64 -0.176544809125482
+20 0 2 0 0 39 48 64 -0.239619457581095
+20 0 2 0 0 40 48 64 -0.299575914716971
+20 0 2 0 0 41 48 64 -0.357061011906351
+20 0 2 0 0 42 48 64 -0.409643043466137
+20 0 2 0 0 43 48 64 -0.459076465503556
+20 0 2 0 0 44 48 64 -0.501335109530394
+20 0 2 0 0 45 48 64 -0.539295524070909
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0.616126777780748
+20 0 1 0 0 20 48 64 0.6364013394727
+20 0 1 0 0 22 48 64 0.628320529980046
+20 0 1 0 0 24 48 64 0.588991128883217
+20 0 1 0 0 26 48 64 0.528743913921968
+20 0 1 0 0 28 48 64 0.441451268312309
+20 0 1 0 0 30 48 64 0.33606474799889
+20 0 1 0 0 32 48 64 0.216218835279807
+20 0 1 0 0 34 48 64 0.0869373803926751
+20 0 1 0 0 36 48 64 -0.0458914513819466
+20 0 1 0 0 38 48 64 -0.176544809125482
+20 0 1 0 0 40 48 64 -0.299575914716971
+20 0 1 0 0 42 48 64 -0.409643043466137
+20 0 1 0 0 44 48 64 -0.501335109530394
+20 0 1 0 0 46 48 64 -0.571525937015653
+20 0 1 0 0 48 48 64 -0.617523605188194
+20 0 1 0 0 50 48 64 -0.63821610397173
+20 0 1 0 0 52 48 64 -0.63209330411175
+20 0 1 0 0 54 48 64 -0.596201169376521
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -0.3472732148882
+20 0 0 0 0 4 48 64 -0.0989718385252873
+20 0 0 0 0 8 48 64 0.166373953494248
+20 0 0 0 0 12 48 64 0.402905024754028
+20 0 0 0 0 16 48 64 0.569281091630753
+20 0 0 0 0 20 48 64 0.6364013394727
+20 0 0 0 0 24 48 64 0.588991128883217
+20 0 0 0 0 28 48 64 0.441451268312309
+20 0 0 0 0 32 48 64 0.216218835279807
+20 0 0 0 0 36 48 64 -0.0458914513819466
+20 0 0 0 0 40 48 64 -0.299575914716971
+20 0 0 0 0 44 48 64 -0.501335109530394
+20 0 0 0 0 48 48 64 -0.617523605188194
+20 0 0 0 0 52 48 64 -0.63209330411175
+20 0 0 0 0 56 48 64 -0.535028050589058
+20 0 0 0 0 60 48 64 -0.3472732148882
+20 0 0 0 0 64 48 64 -0.0989718385252873
+20 0 0 0 0 68 48 64 0.166373953494248
+20 0 0 0 0 72 48 64 0.402905024754028
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 0.452769488176866
+21 0 2 0 0 28 48 64 0.402382274358224
+21 0 2 0 0 29 48 64 0.348268859065924
+21 0 2 0 0 30 48 64 0.290512488167699
+21 0 2 0 0 31 48 64 0.229713916424406
+21 0 2 0 0 32 48 64 0.166343533317261
+21 0 2 0 0 33 48 64 0.101253523729312
+21 0 2 0 0 34 48 64 0.0348811464504921
+21 0 2 0 0 35 48 64 -0.0315549334572121
+21 0 2 0 0 36 48 64 -0.0978348200593294
+21 0 2 0 0 37 48 64 -0.162931311722198
+21 0 2 0 0 38 48 64 -0.226106707337252
+21 0 2 0 0 39 48 64 -0.287224249305965
+21 0 2 0 0 40 48 64 -0.344641222895132
+21 0 2 0 0 41 48 64 -0.399179648344469
+21 0 2 0 0 42 48 64 -0.448208423113794
+21 0 2 0 0 43 48 64 -0.493858275984958
+21 0 2 0 0 44 48 64 -0.531626457484424
+21 0 2 0 0 45 48 64 -0.565010043836499
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 0.414326843613403
+22 0 2 0 0 28 48 64 0.360337195235215
+22 0 2 0 0 29 48 64 0.303304151475136
+22 0 2 0 0 30 48 64 0.242994797903992
+22 0 2 0 0 31 48 64 0.180156357362558
+22 0 2 0 0 32 48 64 0.115347670508941
+22 0 2 0 0 33 48 64 0.0492738898606018
+22 0 2 0 0 34 48 64 -0.0173934826581931
+22 0 2 0 0 35 48 64 -0.0836440289380431
+22 0 2 0 0 36 48 64 -0.149110776595062
+22 0 2 0 0 37 48 64 -0.212874685044461
+22 0 2 0 0 38 48 64 -0.274157761529144
+22 0 2 0 0 39 48 64 -0.332912219928396
+22 0 2 0 0 40 48 64 -0.387393670216936
+22 0 2 0 0 41 48 64 -0.438626223594166
+22 0 2 0 0 42 48 64 -0.483750668069979
+22 0 2 0 0 43 48 64 -0.525342283027327
+22 0 2 0 0 44 48 64 -0.558547078453468
+22 0 2 0 0 45 48 64 -0.587123088382212
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 0.634020152660697
+22 0 1 0 0 20 48 64 0.632693653886764
+22 0 1 0 0 22 48 64 0.60162293541873
+22 0 1 0 0 24 48 64 0.54222250661629
+22 0 1 0 0 26 48 64 0.463524483862377
+22 0 1 0 0 28 48 64 0.360337195235215
+22 0 1 0 0 30 48 64 0.242994797903992
+22 0 1 0 0 32 48 64 0.115347670508941
+22 0 1 0 0 34 48 64 -0.0173934826581931
+22 0 1 0 0 36 48 64 -0.149110776595062
+22 0 1 0 0 38 48 64 -0.274157761529144
+22 0 1 0 0 40 48 64 -0.387393670216936
+22 0 1 0 0 42 48 64 -0.483750668069979
+22 0 1 0 0 44 48 64 -0.558547078453468
+22 0 1 0 0 46 48 64 -0.609532189011429
+22 0 1 0 0 48 48 64 -0.635137561032824
+22 0 1 0 0 50 48 64 -0.634524295141995
+22 0 1 0 0 52 48 64 -0.608027171753909
+22 0 1 0 0 54 48 64 -0.55176282146569
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 0.373363992040111
+23 0 2 0 0 28 48 64 0.316147417162652
+23 0 2 0 0 29 48 64 0.256288117698077
+23 0 2 0 0 30 48 64 0.193835000238068
+23 0 2 0 0 31 48 64 0.12938420919191
+23 0 2 0 0 32 48 64 0.0635743128091647
+23 0 2 0 0 33 48 64 -0.00303707610246827
+23 0 2 0 0 34 48 64 -0.0695333258428789
+23 0 2 0 0 35 48 64 -0.135172563437523
+23 0 2 0 0 36 48 64 -0.199374522387455
+23 0 2 0 0 37 48 64 -0.261395425768384
+23 0 2 0 0 38 48 64 -0.320376765073853
+23 0 2 0 0 39 48 64 -0.376378303638681
+23 0 2 0 0 40 48 64 -0.427542722970876
+23 0 2 0 0 41 48 64 -0.475137692488209
+23 0 2 0 0 42 48 64 -0.516032164461388
+23 0 2 0 0 43 48 64 -0.553322431425868
+23 0 2 0 0 44 48 64 -0.581534989990583
+23 0 2 0 0 45 48 64 -0.60514882789463
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 0.329584685421092
+24 0 2 0 0 28 48 64 0.269535811400744
+24 0 2 0 0 29 48 64 0.207533182261098
+24 0 2 0 0 30 48 64 0.14336739936102
+24 0 2 0 0 31 48 64 0.0777385842886276
+24 0 2 0 0 32 48 64 0.0113721306899269
+24 0 2 0 0 33 48 64 -0.0553246470251094
+24 0 2 0 0 34 48 64 -0.121188182623471
+24 0 2 0 0 35 48 64 -0.185795420478696
+24 0 2 0 0 36 48 64 -0.248288712885692
+24 0 2 0 0 37 48 64 -0.308172415386301
+24 0 2 0 0 38 48 64 -0.364452193663696
+24 0 2 0 0 39 48 64 -0.41733133890793
+24 0 2 0 0 40 48 64 -0.464814357581596
+24 0 2 0 0 41 48 64 -0.508471025620041
+24 0 2 0 0 42 48 64 -0.54483728807451
+24 0 2 0 0 43 48 64 -0.577619906349684
+24 0 2 0 0 44 48 64 -0.600777519578084
+24 0 2 0 0 45 48 64 -0.61926420150594
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 0.635532053086669
+24 0 1 0 0 20 48 64 0.6121507108578
+24 0 1 0 0 22 48 64 0.558678131064373
+24 0 1 0 0 24 48 64 0.481026512418809
+24 0 1 0 0 26 48 64 0.385808504594957
+24 0 1 0 0 28 48 64 0.269535811400744
+24 0 1 0 0 30 48 64 0.14336739936102
+24 0 1 0 0 32 48 64 0.0113721306899269
+24 0 1 0 0 34 48 64 -0.121188182623471
+24 0 1 0 0 36 48 64 -0.248288712885692
+24 0 1 0 0 38 48 64 -0.364452193663696
+24 0 1 0 0 40 48 64 -0.464814357581596
+24 0 1 0 0 42 48 64 -0.54483728807451
+24 0 1 0 0 44 48 64 -0.600777519578084
+24 0 1 0 0 46 48 64 -0.631323567438717
+24 0 1 0 0 48 48 64 -0.635989862385625
+24 0 1 0 0 50 48 64 -0.614056511291853
+24 0 1 0 0 52 48 64 -0.567386206365948
+24 0 1 0 0 54 48 64 -0.491599815281745
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -0.157443342737434
+24 0 0 0 0 4 48 64 0.108360623927445
+24 0 0 0 0 8 48 64 0.355179936414683
+24 0 0 0 0 12 48 64 0.540488575380666
+24 0 0 0 0 16 48 64 0.631357735618882
+24 0 0 0 0 20 48 64 0.6121507108578
+24 0 0 0 0 24 48 64 0.481026512418809
+24 0 0 0 0 28 48 64 0.269535811400744
+24 0 0 0 0 32 48 64 0.0113721306899269
+24 0 0 0 0 36 48 64 -0.248288712885692
+24 0 0 0 0 40 48 64 -0.464814357581596
+24 0 0 0 0 44 48 64 -0.600777519578084
+24 0 0 0 0 48 48 64 -0.635989862385625
+24 0 0 0 0 52 48 64 -0.567386206365948
+24 0 0 0 0 56 48 64 -0.394798194117444
+24 0 0 0 0 60 48 64 -0.157443342737434
+24 0 0 0 0 64 48 64 0.108360623927445
+24 0 0 0 0 68 48 64 0.355179936414683
+24 0 0 0 0 72 48 64 0.540488575380666
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.yl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.yl
new file mode 100644
index 000000000..7c48330f2
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.yl
@@ -0,0 +1,1397 @@
+# HYDROTOY::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0.50990135853555
+0 0 2 0 0 36 40 64 0.53583288072473
+0 0 2 0 0 36 41 64 0.559033921377622
+0 0 2 0 0 36 42 64 0.579386253309212
+0 0 2 0 0 36 43 64 0.596786165701149
+0 0 2 0 0 36 44 64 0.611144992588301
+0 0 2 0 0 36 45 64 0.622389564680188
+0 0 2 0 0 36 46 64 0.630462582214916
+0 0 2 0 0 36 47 64 0.635322906945629
+0 0 2 0 0 36 48 64 0.636945771771587
+0 0 2 0 0 36 49 64 0.635322906945629
+0 0 2 0 0 36 50 64 0.630462582214916
+0 0 2 0 0 36 51 64 0.622389564680188
+0 0 2 0 0 36 52 64 0.611144992588301
+0 0 2 0 0 36 53 64 0.596786165701149
+0 0 2 0 0 36 54 64 0.579386253309212
+0 0 2 0 0 36 55 64 0.559033921377622
+0 0 2 0 0 36 56 64 0.53583288072473
+0 0 2 0 0 36 57 64 0.50990135853555
+0 0 2 0 0 36 58 64 0.48137149590312
+0 0 2 0 0 36 59 64 0.450388674467787
+0 0 2 0 0 36 60 64 0.417110775585686
+0 0 2 0 0 36 61 64 0.381707375801544
+0 0 2 0 0 36 62 64 0.344358882725476
+0 0 2 0 0 36 63 64 0.305255615717156
+0 0 2 0 0 36 64 64 0.264596836061988
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 -2.93103742532793e-15
+0 0 1 0 0 36 28 64 0.0906468344985235
+0 0 1 0 0 36 30 64 0.179448360850545
+0 0 1 0 0 36 32 64 0.264596836061988
+0 0 1 0 0 36 34 64 0.344358882725476
+0 0 1 0 0 36 36 64 0.417110775585686
+0 0 1 0 0 36 38 64 0.481371495903121
+0 0 1 0 0 36 40 64 0.53583288072473
+0 0 1 0 0 36 42 64 0.579386253309212
+0 0 1 0 0 36 44 64 0.611144992588301
+0 0 1 0 0 36 46 64 0.630462582214916
+0 0 1 0 0 36 48 64 0.636945771771587
+0 0 1 0 0 36 50 64 0.630462582214916
+0 0 1 0 0 36 52 64 0.611144992588301
+0 0 1 0 0 36 54 64 0.579386253309212
+0 0 1 0 0 36 56 64 0.53583288072473
+0 0 1 0 0 36 58 64 0.48137149590312
+0 0 1 0 0 36 60 64 0.417110775585686
+0 0 1 0 0 36 62 64 0.344358882725476
+0 0 1 0 0 36 64 64 0.264596836061988
+0 0 1 0 0 36 66 64 0.179448360850545
+0 0 1 0 0 36 68 64 0.0906468344985234
+0 0 1 0 0 36 70 64 -3.07246779757962e-15
+0 0 1 0 0 36 72 64 -0.0906468344985296
+0 0 1 0 0 36 74 64 -0.17944836085055
+0 0 1 0 0 36 76 64 -0.264596836061994
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -0.611144992588299
+0 0 0 0 0 36 4 64 -0.636945771771587
+0 0 0 0 0 36 8 64 -0.611144992588303
+0 0 0 0 0 36 12 64 -0.535832880724733
+0 0 0 0 0 36 16 64 -0.417110775585691
+0 0 0 0 0 36 20 64 -0.264596836061994
+0 0 0 0 0 36 24 64 -0.0906468344985295
+0 0 0 0 0 36 28 64 0.0906468344985235
+0 0 0 0 0 36 32 64 0.264596836061988
+0 0 0 0 0 36 36 64 0.417110775585686
+0 0 0 0 0 36 40 64 0.53583288072473
+0 0 0 0 0 36 44 64 0.611144992588301
+0 0 0 0 0 36 48 64 0.636945771771587
+0 0 0 0 0 36 52 64 0.611144992588301
+0 0 0 0 0 36 56 64 0.53583288072473
+0 0 0 0 0 36 60 64 0.417110775585686
+0 0 0 0 0 36 64 64 0.264596836061988
+0 0 0 0 0 36 68 64 0.0906468344985234
+0 0 0 0 0 36 72 64 -0.0906468344985296
+0 0 0 0 0 36 76 64 -0.264596836061994
+0 0 0 0 0 36 80 64 -0.417110775585691
+0 0 0 0 0 36 84 64 -0.535832880724734
+0 0 0 0 0 36 88 64 -0.611144992588303
+0 0 0 0 0 36 92 64 -0.636945771771587
+0 0 0 0 0 36 96 64 -0.611144992588299
+0 0 0 0 0 36 100 64 -0.535832880724727
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 0.539378137384722
+1 0 2 0 0 36 40 64 0.562179038367364
+1 0 2 0 0 36 41 64 0.582199185263878
+1 0 2 0 0 36 42 64 0.599146755523157
+1 0 2 0 0 36 43 64 0.613041211253013
+1 0 2 0 0 36 44 64 0.62381174949194
+1 0 2 0 0 36 45 64 0.631403486045903
+1 0 2 0 0 36 46 64 0.635777735165602
+1 0 2 0 0 36 47 64 0.636912206680193
+1 0 2 0 0 36 48 64 0.63480111958288
+1 0 2 0 0 36 49 64 0.629455231489608
+1 0 2 0 0 36 50 64 0.620901783820711
+1 0 2 0 0 36 51 64 0.609184362984886
+1 0 2 0 0 36 52 64 0.594362678272839
+1 0 2 0 0 36 53 64 0.576512257592428
+1 0 2 0 0 36 54 64 0.555724062595757
+1 0 2 0 0 36 55 64 0.53210402515945
+1 0 2 0 0 36 56 64 0.505772507580086
+1 0 2 0 0 36 57 64 0.476863689235523
+1 0 2 0 0 36 58 64 0.445524882837553
+1 0 2 0 0 36 59 64 0.411915783760082
+1 0 2 0 0 36 60 64 0.376207656268115
+1 0 2 0 0 36 61 64 0.338582460794316
+1 0 2 0 0 36 62 64 0.299231926710351
+1 0 2 0 0 36 63 64 0.258589850269154
+1 0 2 0 0 36 64 64 0.216406253689122
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 0.565398002435612
+2 0 2 0 0 36 40 64 0.584893751491865
+2 0 2 0 0 36 41 64 0.60144151536923
+2 0 2 0 0 36 42 64 0.614864671252107
+2 0 2 0 0 36 43 64 0.625161142514521
+2 0 2 0 0 36 44 64 0.632270703059781
+2 0 2 0 0 36 45 64 0.636158357031659
+2 0 2 0 0 36 46 64 0.636804293836645
+2 0 2 0 0 36 47 64 0.634205221928842
+2 0 2 0 0 36 48 64 0.628374385582933
+2 0 2 0 0 36 49 64 0.619341497404389
+2 0 2 0 0 36 50 64 0.607152586920843
+2 0 2 0 0 36 51 64 0.591869766026173
+2 0 2 0 0 36 52 64 0.573570912472521
+2 0 2 0 0 36 53 64 0.552349273023126
+2 0 2 0 0 36 54 64 0.528312988288184
+2 0 2 0 0 36 55 64 0.501584541665097
+2 0 2 0 0 36 56 64 0.472300135191147
+2 0 2 0 0 36 57 64 0.44060899548914
+2 0 2 0 0 36 58 64 0.406672613342738
+2 0 2 0 0 36 59 64 0.370663920776444
+2 0 2 0 0 36 60 64 0.332766409833644
+2 0 2 0 0 36 61 64 0.293175756904635
+2 0 2 0 0 36 62 64 0.252095158941335
+2 0 2 0 0 36 63 64 0.209945081525125
+2 0 2 0 0 36 64 64 0.166508567416923
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 0.101958040479921
+2 0 1 0 0 36 28 64 0.19045190926366
+2 0 1 0 0 36 30 64 0.276801468550229
+2 0 1 0 0 36 32 64 0.355631693593013
+2 0 1 0 0 36 34 64 0.42722228291136
+2 0 1 0 0 36 36 64 0.490115858556959
+2 0 1 0 0 36 38 64 0.543032088699761
+2 0 1 0 0 36 40 64 0.584893751491865
+2 0 1 0 0 36 42 64 0.614864671252107
+2 0 1 0 0 36 44 64 0.632270703059781
+2 0 1 0 0 36 46 64 0.636804293836645
+2 0 1 0 0 36 48 64 0.628374385582933
+2 0 1 0 0 36 50 64 0.607152586920843
+2 0 1 0 0 36 52 64 0.573570912472521
+2 0 1 0 0 36 54 64 0.528312988288184
+2 0 1 0 0 36 56 64 0.472300135191147
+2 0 1 0 0 36 58 64 0.406672613342738
+2 0 1 0 0 36 60 64 0.332766409833644
+2 0 1 0 0 36 62 64 0.252095158941335
+2 0 1 0 0 36 64 64 0.166508567416923
+2 0 1 0 0 36 66 64 0.0773116620782785
+2 0 1 0 0 36 68 64 -0.0134590857518569
+2 0 1 0 0 36 70 64 -0.103955845408883
+2 0 1 0 0 36 72 64 -0.192336363837286
+2 0 1 0 0 36 74 64 -0.275010333503837
+2 0 1 0 0 36 76 64 -0.354054672129119
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0.587462116960227
+3 0 2 0 0 36 40 64 0.603541326410646
+3 0 2 0 0 36 41 64 0.616631672885353
+3 0 2 0 0 36 42 64 0.626432433484778
+3 0 2 0 0 36 43 64 0.633064413651825
+3 0 2 0 0 36 44 64 0.636464696504605
+3 0 2 0 0 36 45 64 0.636622049355199
+3 0 2 0 0 36 46 64 0.633535283643025
+3 0 2 0 0 36 47 64 0.627220167344685
+3 0 2 0 0 36 48 64 0.617708880845281
+3 0 2 0 0 36 49 64 0.605049891480632
+3 0 2 0 0 36 50 64 0.589307706558841
+3 0 2 0 0 36 51 64 0.570562544645838
+3 0 2 0 0 36 52 64 0.548909926789954
+3 0 2 0 0 36 53 64 0.524460189768562
+3 0 2 0 0 36 54 64 0.497337923837139
+3 0 2 0 0 36 55 64 0.467681337845893
+3 0 2 0 0 36 56 64 0.435641554959138
+3 0 2 0 0 36 57 64 0.401381842566289
+3 0 2 0 0 36 58 64 0.365076780308672
+3 0 2 0 0 36 59 64 0.326911450441731
+3 0 2 0 0 36 60 64 0.287080653705414
+3 0 2 0 0 36 61 64 0.245799002149099
+3 0 2 0 0 36 62 64 0.203265136979522
+3 0 2 0 0 36 63 64 0.160052956823864
+3 0 2 0 0 36 64 64 0.11577891465481
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0.605737107086903
+4 0 2 0 0 36 40 64 0.618266994352902
+4 0 2 0 0 36 41 64 0.627665059164578
+4 0 2 0 0 36 42 64 0.633771152144637
+4 0 2 0 0 36 43 64 0.636698155575651
+4 0 2 0 0 36 44 64 0.636365165213341
+4 0 2 0 0 36 45 64 0.632791398915848
+4 0 2 0 0 36 46 64 0.625992709893389
+4 0 2 0 0 36 47 64 0.616004120902327
+4 0 2 0 0 36 48 64 0.602876514907985
+4 0 2 0 0 36 49 64 0.586676788385331
+4 0 2 0 0 36 50 64 0.567487491427417
+4 0 2 0 0 36 51 64 0.545406408292959
+4 0 2 0 0 36 52 64 0.520546059120174
+4 0 2 0 0 36 53 64 0.493033126549944
+4 0 2 0 0 36 54 64 0.463007810180118
+4 0 2 0 0 36 55 64 0.4306231121405
+4 0 2 0 0 36 56 64 0.396044057429062
+4 0 2 0 0 36 57 64 0.359446855481761
+4 0 2 0 0 36 58 64 0.321018015768317
+4 0 2 0 0 36 59 64 0.280954104881963
+4 0 2 0 0 36 60 64 0.239459617669995
+4 0 2 0 0 36 61 64 0.196776084762906
+4 0 2 0 0 36 62 64 0.153077118147342
+4 0 2 0 0 36 63 64 0.108889333629815
+4 0 2 0 0 36 64 64 0.0639255829329774
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0.203336824400688
+4 0 1 0 0 36 28 64 0.287310844989877
+4 0 1 0 0 36 30 64 0.366814710346517
+4 0 1 0 0 36 32 64 0.437116971964769
+4 0 1 0 0 36 34 64 0.49863426960122
+4 0 1 0 0 36 36 64 0.54998022255102
+4 0 1 0 0 36 38 64 0.590130164181673
+4 0 1 0 0 36 40 64 0.618266994352902
+4 0 1 0 0 36 42 64 0.633771152144637
+4 0 1 0 0 36 44 64 0.636365165213341
+4 0 1 0 0 36 46 64 0.625992709893389
+4 0 1 0 0 36 48 64 0.602876514907985
+4 0 1 0 0 36 50 64 0.567487491427417
+4 0 1 0 0 36 52 64 0.520546059120174
+4 0 1 0 0 36 54 64 0.463007810180118
+4 0 1 0 0 36 56 64 0.396044057429062
+4 0 1 0 0 36 58 64 0.321018015768317
+4 0 1 0 0 36 60 64 0.239459617669995
+4 0 1 0 0 36 62 64 0.153077118147342
+4 0 1 0 0 36 64 64 0.0639255829329774
+4 0 1 0 0 36 66 64 -0.0269158286163637
+4 0 1 0 0 36 68 64 -0.117220277357043
+4 0 1 0 0 36 70 64 -0.205118972117534
+4 0 1 0 0 36 72 64 -0.288811734351734
+4 0 1 0 0 36 74 64 -0.365347955302905
+4 0 1 0 0 36 76 64 -0.436059668496852
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 -0.637195713383579
+4 0 0 0 0 36 4 64 -0.604381951846523
+4 0 0 0 0 36 8 64 -0.522604758968737
+4 0 0 0 0 36 12 64 -0.398489236569475
+4 0 0 0 0 36 16 64 -0.242090486130096
+4 0 0 0 0 36 20 64 -0.0660790042720144
+4 0 0 0 0 36 24 64 0.115285805525215
+4 0 0 0 0 36 28 64 0.287310844989877
+4 0 0 0 0 36 32 64 0.437116971964769
+4 0 0 0 0 36 36 64 0.54998022255102
+4 0 0 0 0 36 40 64 0.618266994352902
+4 0 0 0 0 36 44 64 0.636365165213341
+4 0 0 0 0 36 48 64 0.602876514907985
+4 0 0 0 0 36 52 64 0.520546059120174
+4 0 0 0 0 36 56 64 0.396044057429062
+4 0 0 0 0 36 60 64 0.239459617669995
+4 0 0 0 0 36 64 64 0.0639255829329774
+4 0 0 0 0 36 68 64 -0.117220277357043
+4 0 0 0 0 36 72 64 -0.288811734351734
+4 0 0 0 0 36 76 64 -0.436059668496852
+4 0 0 0 0 36 80 64 -0.54948153100891
+4 0 0 0 0 36 84 64 -0.618387667771118
+4 0 0 0 0 36 88 64 -0.637195713383579
+4 0 0 0 0 36 92 64 -0.604381951846523
+4 0 0 0 0 36 96 64 -0.522604758968737
+4 0 0 0 0 36 100 64 -0.398489236569475
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0.619815866784387
+5 0 2 0 0 36 40 64 0.628733177458112
+5 0 2 0 0 36 41 64 0.634468135143382
+5 0 2 0 0 36 42 64 0.636832597382819
+5 0 2 0 0 36 43 64 0.636038419221386
+5 0 2 0 0 36 44 64 0.63197230041235
+5 0 2 0 0 36 45 64 0.624692257519311
+5 0 2 0 0 36 46 64 0.614227397318661
+5 0 2 0 0 36 47 64 0.600632707152374
+5 0 2 0 0 36 48 64 0.58397731091608
+5 0 2 0 0 36 49 64 0.56434610078486
+5 0 2 0 0 36 50 64 0.541839112246019
+5 0 2 0 0 36 51 64 0.516571035791953
+5 0 2 0 0 36 52 64 0.488670631747976
+5 0 2 0 0 36 53 64 0.458280074178175
+5 0 2 0 0 36 54 64 0.425554226397277
+5 0 2 0 0 36 55 64 0.390659851902836
+5 0 2 0 0 36 56 64 0.353774765273945
+5 0 2 0 0 36 57 64 0.315086964463373
+5 0 2 0 0 36 58 64 0.27479366214685
+5 0 2 0 0 36 59 64 0.233103201865368
+5 0 2 0 0 36 60 64 0.190226129691542
+5 0 2 0 0 36 61 64 0.146441195516311
+5 0 2 0 0 36 62 64 0.101865937283776
+5 0 2 0 0 36 63 64 0.0571943167828904
+5 0 2 0 0 36 64 64 0.011973383302189
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0.629830097242168
+6 0 2 0 0 36 40 64 0.635052401679783
+6 0 2 0 0 36 41 64 0.636993166349794
+6 0 2 0 0 36 42 64 0.635597717966417
+6 0 2 0 0 36 43 64 0.631090222023777
+6 0 2 0 0 36 44 64 0.623315186045125
+6 0 2 0 0 36 45 64 0.612379353818863
+6 0 2 0 0 36 46 64 0.598318622366667
+6 0 2 0 0 36 47 64 0.581209590522001
+6 0 2 0 0 36 48 64 0.561138730770607
+6 0 2 0 0 36 49 64 0.53820844420425
+6 0 2 0 0 36 50 64 0.512535569833231
+6 0 2 0 0 36 51 64 0.484250931710903
+6 0 2 0 0 36 52 64 0.453498661833035
+6 0 2 0 0 36 53 64 0.420435466736225
+6 0 2 0 0 36 54 64 0.38522982890098
+6 0 2 0 0 36 55 64 0.348061150140387
+6 0 2 0 0 36 56 64 0.309118839106567
+6 0 2 0 0 36 57 64 0.268601571475632
+6 0 2 0 0 36 58 64 0.226715848992383
+6 0 2 0 0 36 59 64 0.183683615371917
+6 0 2 0 0 36 60 64 0.139714281471845
+6 0 2 0 0 36 61 64 0.0951348262470591
+6 0 2 0 0 36 62 64 0.0499802810324689
+6 0 2 0 0 36 63 64 0.00490301853139381
+6 0 2 0 0 36 64 64 -0.0404192879211431
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0.297122722560746
+6 0 1 0 0 36 28 64 0.374509240180489
+6 0 1 0 0 36 30 64 0.447057640236956
+6 0 1 0 0 36 32 64 0.506827467675778
+6 0 1 0 0 36 34 64 0.556679618070835
+6 0 1 0 0 36 36 64 0.595093240342499
+6 0 1 0 0 36 38 64 0.621396256826992
+6 0 1 0 0 36 40 64 0.635052401679783
+6 0 1 0 0 36 42 64 0.635597717966417
+6 0 1 0 0 36 44 64 0.623315186045125
+6 0 1 0 0 36 46 64 0.598318622366667
+6 0 1 0 0 36 48 64 0.561138730770607
+6 0 1 0 0 36 50 64 0.512535569833231
+6 0 1 0 0 36 52 64 0.453498661833035
+6 0 1 0 0 36 54 64 0.38522982890098
+6 0 1 0 0 36 56 64 0.309118839106567
+6 0 1 0 0 36 58 64 0.226715848992383
+6 0 1 0 0 36 60 64 0.139714281471845
+6 0 1 0 0 36 62 64 0.0499802810324689
+6 0 1 0 0 36 64 64 -0.0404192879211431
+6 0 1 0 0 36 66 64 -0.130432939352435
+6 0 1 0 0 36 68 64 -0.217846161358475
+6 0 1 0 0 36 70 64 -0.300740709184171
+6 0 1 0 0 36 72 64 -0.377490025456466
+6 0 1 0 0 36 74 64 -0.444792758034398
+6 0 1 0 0 36 76 64 -0.504818975199184
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 0.635541681155819
+7 0 2 0 0 36 40 64 0.637053772412586
+7 0 2 0 0 36 41 64 0.635224637965066
+7 0 2 0 0 36 42 64 0.630078171977715
+7 0 2 0 0 36 43 64 0.6218874194724
+7 0 2 0 0 36 44 64 0.610451775565712
+7 0 2 0 0 36 45 64 0.595935946655088
+7 0 2 0 0 36 46 64 0.578373551639401
+7 0 2 0 0 36 47 64 0.557865785023267
+7 0 2 0 0 36 48 64 0.534514814654423
+7 0 2 0 0 36 49 64 0.508440124148401
+7 0 2 0 0 36 50 64 0.479774531662615
+7 0 2 0 0 36 51 64 0.448664118574827
+7 0 2 0 0 36 52 64 0.415267415878594
+7 0 2 0 0 36 53 64 0.379754605784431
+7 0 2 0 0 36 54 64 0.342306653616407
+7 0 2 0 0 36 55 64 0.303114401157909
+7 0 2 0 0 36 56 64 0.262377576885548
+7 0 2 0 0 36 57 64 0.2203046498839
+7 0 2 0 0 36 58 64 0.177109489243536
+7 0 2 0 0 36 59 64 0.133031397531304
+7 0 2 0 0 36 60 64 0.0882668692805401
+7 0 2 0 0 36 61 64 0.0432027240039613
+7 0 2 0 0 36 62 64 -0.00223538793525438
+7 0 2 0 0 36 63 64 -0.0472099610685687
+7 0 2 0 0 36 64 64 -0.0922067996660087
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 0.637022425636418
+8 0 2 0 0 36 40 64 0.634794254524964
+8 0 2 0 0 36 41 64 0.629173010314419
+8 0 2 0 0 36 42 64 0.620314007655792
+8 0 2 0 0 36 43 64 0.608492415386402
+8 0 2 0 0 36 44 64 0.593468766634332
+8 0 2 0 0 36 45 64 0.575473270544195
+8 0 2 0 0 36 46 64 0.554526508354797
+8 0 2 0 0 36 47 64 0.530758787621103
+8 0 2 0 0 36 48 64 0.504285141633512
+8 0 2 0 0 36 49 64 0.475241955776838
+8 0 2 0 0 36 50 64 0.443777008160821
+8 0 2 0 0 36 51 64 0.410050677857393
+8 0 2 0 0 36 52 64 0.374234822530294
+8 0 2 0 0 36 53 64 0.336511953688545
+8 0 2 0 0 36 54 64 0.297074298985034
+8 0 2 0 0 36 55 64 0.256122899444967
+8 0 2 0 0 36 56 64 0.213866430304459
+8 0 2 0 0 36 57 64 0.17052277202792
+8 0 2 0 0 36 58 64 0.126310167387866
+8 0 2 0 0 36 59 64 0.0814911815656163
+8 0 2 0 0 36 60 64 0.0362327753977346
+8 0 2 0 0 36 61 64 -0.0090077774966195
+8 0 2 0 0 36 62 64 -0.0544289615937023
+8 0 2 0 0 36 63 64 -0.0992291681542225
+8 0 2 0 0 36 64 64 -0.143737695622745
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0.385785774294104
+8 0 1 0 0 36 28 64 0.454285228667723
+8 0 1 0 0 36 30 64 0.515349180689513
+8 0 1 0 0 36 32 64 0.562872587840816
+8 0 1 0 0 36 34 64 0.599805067555074
+8 0 1 0 0 36 36 64 0.624236534694581
+8 0 1 0 0 36 38 64 0.635983815583996
+8 0 1 0 0 36 40 64 0.634794254524964
+8 0 1 0 0 36 42 64 0.620314007655792
+8 0 1 0 0 36 44 64 0.593468766634332
+8 0 1 0 0 36 46 64 0.554526508354797
+8 0 1 0 0 36 48 64 0.504285141633512
+8 0 1 0 0 36 50 64 0.443777008160821
+8 0 1 0 0 36 52 64 0.374234822530294
+8 0 1 0 0 36 54 64 0.297074298985034
+8 0 1 0 0 36 56 64 0.213866430304459
+8 0 1 0 0 36 58 64 0.126310167387866
+8 0 1 0 0 36 60 64 0.0362327753977346
+8 0 1 0 0 36 62 64 -0.0544289615937023
+8 0 1 0 0 36 64 64 -0.143737695622745
+8 0 1 0 0 36 66 64 -0.230450897726081
+8 0 1 0 0 36 68 64 -0.312628564483326
+8 0 1 0 0 36 70 64 -0.388236257599029
+8 0 1 0 0 36 72 64 -0.455985001401903
+8 0 1 0 0 36 74 64 -0.513778275390261
+8 0 1 0 0 36 76 64 -0.562263542224784
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 -0.59648290094983
+8 0 0 0 0 36 4 64 -0.508360375451156
+8 0 0 0 0 36 8 64 -0.379053515669004
+8 0 0 0 0 36 12 64 -0.2190379943654
+8 0 0 0 0 36 16 64 -0.0412773174274224
+8 0 0 0 0 36 20 64 0.139827402282866
+8 0 0 0 0 36 24 64 0.309604137445777
+8 0 0 0 0 36 28 64 0.454285228667723
+8 0 0 0 0 36 32 64 0.562872587840816
+8 0 0 0 0 36 36 64 0.624236534694581
+8 0 0 0 0 36 40 64 0.634794254524964
+8 0 0 0 0 36 44 64 0.593468766634332
+8 0 0 0 0 36 48 64 0.504285141633512
+8 0 0 0 0 36 52 64 0.374234822530294
+8 0 0 0 0 36 56 64 0.213866430304459
+8 0 0 0 0 36 60 64 0.0362327753977346
+8 0 0 0 0 36 64 64 -0.143737695622745
+8 0 0 0 0 36 68 64 -0.312628564483326
+8 0 0 0 0 36 72 64 -0.455985001401903
+8 0 0 0 0 36 76 64 -0.562263542224784
+8 0 0 0 0 36 80 64 -0.624533179725877
+8 0 0 0 0 36 84 64 -0.636281929233952
+8 0 0 0 0 36 88 64 -0.59648290094983
+8 0 0 0 0 36 92 64 -0.508360375451156
+8 0 0 0 0 36 96 64 -0.379053515669004
+8 0 0 0 0 36 100 64 -0.2190379943654
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 0.634209307316538
+9 0 2 0 0 36 40 64 0.628274633191864
+9 0 2 0 0 36 41 64 0.618880962323979
+9 0 2 0 0 36 42 64 0.606374725532842
+9 0 2 0 0 36 43 64 0.590995724118689
+9 0 2 0 0 36 44 64 0.572481204104115
+9 0 2 0 0 36 45 64 0.551129768960463
+9 0 2 0 0 36 46 64 0.526938091768676
+9 0 2 0 0 36 47 64 0.500071543002118
+9 0 2 0 0 36 48 64 0.470653621489612
+9 0 2 0 0 36 49 64 0.438837928604366
+9 0 2 0 0 36 50 64 0.404785881507996
+9 0 2 0 0 36 51 64 0.368671154257462
+9 0 2 0 0 36 52 64 0.330677759416677
+9 0 2 0 0 36 53 64 0.290999313941686
+9 0 2 0 0 36 54 64 0.249838009214385
+9 0 2 0 0 36 55 64 0.207403866377264
+9 0 2 0 0 36 56 64 0.163912958090276
+9 0 2 0 0 36 57 64 0.119593044521439
+9 0 2 0 0 36 58 64 0.0746619274111935
+9 0 2 0 0 36 59 64 0.0294133634599718
+9 0 2 0 0 36 60 64 -0.0160357731489081
+9 0 2 0 0 36 61 64 -0.0611481311090316
+9 0 2 0 0 36 62 64 -0.106254554573781
+9 0 2 0 0 36 63 64 -0.15036884426168
+9 0 2 0 0 36 64 64 -0.193971445946896
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 0.627113036937236
+10 0 2 0 0 36 40 64 0.617494646688305
+10 0 2 0 0 36 41 64 0.604416447098823
+10 0 2 0 0 36 42 64 0.588356522715237
+10 0 2 0 0 36 43 64 0.569515374275107
+10 0 2 0 0 36 44 64 0.547631867757324
+10 0 2 0 0 36 45 64 0.523070132217243
+10 0 2 0 0 36 46 64 0.495794170364243
+10 0 2 0 0 36 47 64 0.46601124628219
+10 0 2 0 0 36 48 64 0.433847130934919
+10 0 2 0 0 36 49 64 0.399473728774084
+10 0 2 0 0 36 50 64 0.363064298922632
+10 0 2 0 0 36 51 64 0.324804836791494
+10 0 2 0 0 36 52 64 0.284890228214365
+10 0 2 0 0 36 53 64 0.243523915108191
+10 0 2 0 0 36 54 64 0.200916675096805
+10 0 2 0 0 36 55 64 0.157286422205733
+10 0 2 0 0 36 56 64 0.112854727457975
+10 0 2 0 0 36 57 64 0.0678609220204759
+10 0 2 0 0 36 58 64 0.0225149358718501
+10 0 2 0 0 36 59 64 -0.0228487244282122
+10 0 2 0 0 36 60 64 -0.0681857976120786
+10 0 2 0 0 36 61 64 -0.112871820698518
+10 0 2 0 0 36 62 64 -0.15736464702915
+10 0 2 0 0 36 63 64 -0.200724035706136
+10 0 2 0 0 36 64 64 -0.243254893919947
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0.461982031523405
+10 0 1 0 0 36 28 64 0.520003480589231
+10 0 1 0 0 36 30 64 0.569854926403488
+10 0 1 0 0 36 32 64 0.603755781655311
+10 0 1 0 0 36 34 64 0.626858147119501
+10 0 1 0 0 36 36 64 0.636615957094457
+10 0 1 0 0 36 38 64 0.633494107099585
+10 0 1 0 0 36 40 64 0.617494646688305
+10 0 1 0 0 36 42 64 0.588356522715237
+10 0 1 0 0 36 44 64 0.547631867757324
+10 0 1 0 0 36 46 64 0.495794170364243
+10 0 1 0 0 36 48 64 0.433847130934919
+10 0 1 0 0 36 50 64 0.363064298922632
+10 0 1 0 0 36 52 64 0.284890228214365
+10 0 1 0 0 36 54 64 0.200916675096805
+10 0 1 0 0 36 56 64 0.112854727457975
+10 0 1 0 0 36 58 64 0.0225149358718501
+10 0 1 0 0 36 60 64 -0.0681857976120786
+10 0 1 0 0 36 62 64 -0.15736464702915
+10 0 1 0 0 36 64 64 -0.243254893919947
+10 0 1 0 0 36 66 64 -0.324268061042168
+10 0 1 0 0 36 68 64 -0.399016312565578
+10 0 1 0 0 36 70 64 -0.465257051318351
+10 0 1 0 0 36 72 64 -0.522215634847047
+10 0 1 0 0 36 74 64 -0.56790732346883
+10 0 1 0 0 36 76 64 -0.603405777278373
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 0.615847786831143
+11 0 2 0 0 36 40 64 0.602626895084993
+11 0 2 0 0 36 41 64 0.585878594353199
+11 0 2 0 0 36 42 64 0.566383187078877
+11 0 2 0 0 36 43 64 0.544196162269302
+11 0 2 0 0 36 44 64 0.519090297875085
+11 0 2 0 0 36 45 64 0.491484149958726
+11 0 2 0 0 36 46 64 0.461304757971872
+11 0 2 0 0 36 47 64 0.428807988281219
+11 0 2 0 0 36 48 64 0.394114008983325
+11 0 2 0 0 36 49 64 0.357415128886202
+11 0 2 0 0 36 50 64 0.318893939229023
+11 0 2 0 0 36 51 64 0.278747926496674
+11 0 2 0 0 36 52 64 0.237181427508182
+11 0 2 0 0 36 53 64 0.194406410268435
+11 0 2 0 0 36 54 64 0.150640763410713
+11 0 2 0 0 36 55 64 0.106109506694644
+11 0 2 0 0 36 56 64 0.0610371604457141
+11 0 2 0 0 36 57 64 0.0156778695296591
+11 0 2 0 0 36 58 64 -0.029776966558851
+11 0 2 0 0 36 59 64 -0.0749416166336611
+11 0 2 0 0 36 60 64 -0.119866118190805
+11 0 2 0 0 36 61 64 -0.163834553170467
+11 0 2 0 0 36 62 64 -0.207419473570138
+11 0 2 0 0 36 63 64 -0.249522369161557
+11 0 2 0 0 36 64 64 -0.290580047889965
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 0.600362728694348
+12 0 2 0 0 36 40 64 0.583613845025026
+12 0 2 0 0 36 41 64 0.563390524099401
+12 0 2 0 0 36 42 64 0.540603269836972
+12 0 2 0 0 36 43 64 0.515208726399884
+12 0 2 0 0 36 44 64 0.487051565280677
+12 0 2 0 0 36 45 64 0.45658540378857
+12 0 2 0 0 36 46 64 0.423702765989939
+12 0 2 0 0 36 47 64 0.388713244505759
+12 0 2 0 0 36 48 64 0.351722424682695
+12 0 2 0 0 36 49 64 0.312946249902045
+12 0 2 0 0 36 50 64 0.27257315615915
+12 0 2 0 0 36 51 64 0.230811594298089
+12 0 2 0 0 36 52 64 0.187873725758713
+12 0 2 0 0 36 53 64 0.143978795719796
+12 0 2 0 0 36 54 64 0.0993501758777369
+12 0 2 0 0 36 55 64 0.0542197329806349
+12 0 2 0 0 36 56 64 0.00881130618246116
+12 0 2 0 0 36 57 64 -0.0366011471462491
+12 0 2 0 0 36 58 64 -0.0818588302643655
+12 0 2 0 0 36 59 64 -0.126514316678739
+12 0 2 0 0 36 60 64 -0.170729650775611
+12 0 2 0 0 36 61 64 -0.213697209931898
+12 0 2 0 0 36 62 64 -0.256082906572
+12 0 2 0 0 36 63 64 -0.296862770541109
+12 0 2 0 0 36 64 64 -0.33628290507426
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0.528170960261501
+12 0 1 0 0 36 28 64 0.573875772565795
+12 0 1 0 0 36 30 64 0.609087321150422
+12 0 1 0 0 36 32 64 0.628402596995659
+12 0 1 0 0 36 34 64 0.637116089161789
+12 0 1 0 0 36 36 64 0.631884788134024
+12 0 1 0 0 36 38 64 0.613990069259635
+12 0 1 0 0 36 40 64 0.583613845025026
+12 0 1 0 0 36 42 64 0.540603269836972
+12 0 1 0 0 36 44 64 0.487051565280677
+12 0 1 0 0 36 46 64 0.423702765989939
+12 0 1 0 0 36 48 64 0.351722424682695
+12 0 1 0 0 36 50 64 0.27257315615915
+12 0 1 0 0 36 52 64 0.187873725758713
+12 0 1 0 0 36 54 64 0.0993501758777369
+12 0 1 0 0 36 56 64 0.00881130618246116
+12 0 1 0 0 36 58 64 -0.0818588302643655
+12 0 1 0 0 36 60 64 -0.170729650775611
+12 0 1 0 0 36 62 64 -0.256082906572
+12 0 1 0 0 36 64 64 -0.33628290507426
+12 0 1 0 0 36 66 64 -0.409345710324212
+12 0 1 0 0 36 68 64 -0.474685664477683
+12 0 1 0 0 36 70 64 -0.529753025156589
+12 0 1 0 0 36 72 64 -0.574440473484468
+12 0 1 0 0 36 74 64 -0.608058902722826
+12 0 1 0 0 36 76 64 -0.629908211125043
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 -0.493113583217527
+12 0 0 0 0 36 4 64 -0.358814710696291
+12 0 0 0 0 36 8 64 -0.195446804267703
+12 0 0 0 0 36 12 64 -0.0162449601242363
+12 0 0 0 0 36 16 64 0.164272954075997
+12 0 0 0 0 36 20 64 0.331482033068
+12 0 0 0 0 36 24 64 0.471798630517264
+12 0 0 0 0 36 28 64 0.573875772565795
+12 0 0 0 0 36 32 64 0.628402596995659
+12 0 0 0 0 36 36 64 0.631884788134024
+12 0 0 0 0 36 40 64 0.583613845025026
+12 0 0 0 0 36 44 64 0.487051565280677
+12 0 0 0 0 36 48 64 0.351722424682695
+12 0 0 0 0 36 52 64 0.187873725758713
+12 0 0 0 0 36 56 64 0.00881130618246116
+12 0 0 0 0 36 60 64 -0.170729650775611
+12 0 0 0 0 36 64 64 -0.33628290507426
+12 0 0 0 0 36 68 64 -0.474685664477683
+12 0 0 0 0 36 72 64 -0.574440473484468
+12 0 0 0 0 36 76 64 -0.629908211125043
+12 0 0 0 0 36 80 64 -0.634176468120291
+12 0 0 0 0 36 84 64 -0.587465672010459
+12 0 0 0 0 36 88 64 -0.493113583217527
+12 0 0 0 0 36 92 64 -0.358814710696291
+12 0 0 0 0 36 96 64 -0.195446804267703
+12 0 0 0 0 36 100 64 -0.0162449601242363
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 0.580947147813451
+13 0 2 0 0 36 40 64 0.56079531214378
+13 0 2 0 0 36 41 64 0.537104767620391
+13 0 2 0 0 36 42 64 0.511190968605429
+13 0 2 0 0 36 43 64 0.48274845834354
+13 0 2 0 0 36 44 64 0.451734699111499
+13 0 2 0 0 36 45 64 0.41860980863776
+13 0 2 0 0 36 46 64 0.383242607845066
+13 0 2 0 0 36 47 64 0.345998205767797
+13 0 2 0 0 36 48 64 0.30695862581087
+13 0 2 0 0 36 49 64 0.266367692841018
+13 0 2 0 0 36 50 64 0.224414996256527
+13 0 2 0 0 36 51 64 0.18131992587382
+13 0 2 0 0 36 52 64 0.137300529101955
+13 0 2 0 0 36 53 64 0.0925822432529072
+13 0 2 0 0 36 54 64 0.0473920275335564
+13 0 2 0 0 36 55 64 0.00196914161658804
+13 0 2 0 0 36 56 64 -0.0434684925537463
+13 0 2 0 0 36 57 64 -0.088620345921592
+13 0 2 0 0 36 58 64 -0.133377251253409
+13 0 2 0 0 36 59 64 -0.177220721322669
+13 0 2 0 0 36 60 64 -0.220435595192268
+13 0 2 0 0 36 61 64 -0.262126534871435
+13 0 2 0 0 36 62 64 -0.303029063309079
+13 0 2 0 0 36 63 64 -0.342006343397285
+13 0 2 0 0 36 64 64 -0.379416097684702
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 0.557489129184527
+14 0 2 0 0 36 40 64 0.534058024562797
+14 0 2 0 0 36 41 64 0.50719625820417
+14 0 2 0 0 36 42 64 0.478343344591957
+14 0 2 0 0 36 43 64 0.447034217408379
+14 0 2 0 0 36 44 64 0.413380931256607
+14 0 2 0 0 36 45 64 0.377814018066916
+14 0 2 0 0 36 46 64 0.340198619931579
+14 0 2 0 0 36 47 64 0.300951945611179
+14 0 2 0 0 36 48 64 0.260125069911505
+14 0 2 0 0 36 49 64 0.217994531969451
+14 0 2 0 0 36 50 64 0.174745085623992
+14 0 2 0 0 36 51 64 0.130607745568132
+14 0 2 0 0 36 52 64 0.085804033585775
+14 0 2 0 0 36 53 64 0.0405648323946591
+14 0 2 0 0 36 54 64 -0.00488167421308696
+14 0 2 0 0 36 55 64 -0.0502871882393677
+14 0 2 0 0 36 56 64 -0.0954470732799742
+14 0 2 0 0 36 57 64 -0.14002596573151
+14 0 2 0 0 36 58 64 -0.183983093904489
+14 0 2 0 0 36 59 64 -0.226721809581471
+14 0 2 0 0 36 60 64 -0.26865145061754
+14 0 2 0 0 36 61 64 -0.308797995009175
+14 0 2 0 0 36 62 64 -0.347940512889122
+14 0 2 0 0 36 63 64 -0.385054839634187
+14 0 2 0 0 36 64 64 -0.420295414983999
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0.57867094202159
+14 0 1 0 0 36 28 64 0.611120741329166
+14 0 1 0 0 36 30 64 0.632012973631142
+14 0 1 0 0 36 32 64 0.636200480162015
+14 0 1 0 0 36 34 64 0.630303657749717
+14 0 1 0 0 36 36 64 0.610156409607592
+14 0 1 0 0 36 38 64 0.577997236897269
+14 0 1 0 0 36 40 64 0.534058024562797
+14 0 1 0 0 36 42 64 0.478343344591957
+14 0 1 0 0 36 44 64 0.413380931256607
+14 0 1 0 0 36 46 64 0.340198619931579
+14 0 1 0 0 36 48 64 0.260125069911505
+14 0 1 0 0 36 50 64 0.174745085623992
+14 0 1 0 0 36 52 64 0.085804033585775
+14 0 1 0 0 36 54 64 -0.00488167421308696
+14 0 1 0 0 36 56 64 -0.0954470732799742
+14 0 1 0 0 36 58 64 -0.183983093904489
+14 0 1 0 0 36 60 64 -0.26865145061754
+14 0 1 0 0 36 62 64 -0.347940512889122
+14 0 1 0 0 36 64 64 -0.420295414983999
+14 0 1 0 0 36 66 64 -0.483381587196745
+14 0 1 0 0 36 68 64 -0.537604986637817
+14 0 1 0 0 36 70 64 -0.580027273312048
+14 0 1 0 0 36 72 64 -0.611287209230735
+14 0 1 0 0 36 74 64 -0.631172428377194
+14 0 1 0 0 36 76 64 -0.63902892090289
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 0.530446312754231
+15 0 2 0 0 36 40 64 0.503900046058434
+15 0 2 0 0 36 41 64 0.473867089247578
+15 0 2 0 0 36 42 64 0.442281055877767
+15 0 2 0 0 36 43 64 0.408306880460207
+15 0 2 0 0 36 44 64 0.372251709528866
+15 0 2 0 0 36 45 64 0.334473686557368
+15 0 2 0 0 36 46 64 0.294863259756657
+15 0 2 0 0 36 47 64 0.253879420194153
+15 0 2 0 0 36 48 64 0.211538432062192
+15 0 2 0 0 36 49 64 0.16815415926105
+15 0 2 0 0 36 50 64 0.123899381005909
+15 0 2 0 0 36 51 64 0.0790183117144422
+15 0 2 0 0 36 52 64 0.0337328522825777
+15 0 2 0 0 36 53 64 -0.0117208335957486
+15 0 2 0 0 36 54 64 -0.0571164701623981
+15 0 2 0 0 36 55 64 -0.102193709237545
+15 0 2 0 0 36 56 64 -0.146771092556874
+15 0 2 0 0 36 57 64 -0.190469206687892
+15 0 2 0 0 36 58 64 -0.233334234910199
+15 0 2 0 0 36 59 64 -0.274687681573746
+15 0 2 0 0 36 60 64 -0.315055002181317
+15 0 2 0 0 36 61 64 -0.353397281719323
+15 0 2 0 0 36 62 64 -0.390514155846708
+15 0 2 0 0 36 63 64 -0.425318409027177
+15 0 2 0 0 36 64 64 -0.458061578075606
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 0.499647700197632
+16 0 2 0 0 36 40 64 0.470155355371906
+16 0 2 0 0 36 41 64 0.437339836795794
+16 0 2 0 0 36 42 64 0.403245456927188
+16 0 2 0 0 36 43 64 0.366827693713193
+16 0 2 0 0 36 44 64 0.328626642935096
+16 0 2 0 0 36 45 64 0.288881589371665
+16 0 2 0 0 36 46 64 0.24754505104139
+16 0 2 0 0 36 47 64 0.205099300610908
+16 0 2 0 0 36 48 64 0.161527479661504
+16 0 2 0 0 36 49 64 0.117183974587489
+16 0 2 0 0 36 50 64 0.0722217885179424
+16 0 2 0 0 36 51 64 0.0269008830862164
+16 0 2 0 0 36 52 64 -0.0185604833253866
+16 0 2 0 0 36 53 64 -0.0639201385748697
+16 0 2 0 0 36 54 64 -0.108958021259893
+16 0 2 0 0 36 55 64 -0.153397174641942
+16 0 2 0 0 36 56 64 -0.197091827504335
+16 0 2 0 0 36 57 64 -0.23960919226023
+16 0 2 0 0 36 58 64 -0.281098278243746
+16 0 2 0 0 36 59 64 -0.320799465041073
+16 0 2 0 0 36 60 64 -0.359336304526752
+16 0 2 0 0 36 61 64 -0.395623092003998
+16 0 2 0 0 36 62 64 -0.43046038437708
+16 0 2 0 0 36 63 64 -0.462904821269424
+16 0 2 0 0 36 64 64 -0.493001013258371
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0.615314060365795
+16 0 1 0 0 36 28 64 0.633332174635427
+16 0 1 0 0 36 30 64 0.638000400470499
+16 0 1 0 0 36 32 64 0.626988031054254
+16 0 1 0 0 36 34 64 0.606600726019789
+16 0 1 0 0 36 36 64 0.572006368518583
+16 0 1 0 0 36 38 64 0.52649059553371
+16 0 1 0 0 36 40 64 0.470155355371906
+16 0 1 0 0 36 42 64 0.403245456927188
+16 0 1 0 0 36 44 64 0.328626642935096
+16 0 1 0 0 36 46 64 0.24754505104139
+16 0 1 0 0 36 48 64 0.161527479661504
+16 0 1 0 0 36 50 64 0.0722217885179424
+16 0 1 0 0 36 52 64 -0.0185604833253866
+16 0 1 0 0 36 54 64 -0.108958021259893
+16 0 1 0 0 36 56 64 -0.197091827504335
+16 0 1 0 0 36 58 64 -0.281098278243746
+16 0 1 0 0 36 60 64 -0.359336304526752
+16 0 1 0 0 36 62 64 -0.43046038437708
+16 0 1 0 0 36 64 64 -0.493001013258371
+16 0 1 0 0 36 66 64 -0.54437739286784
+16 0 1 0 0 36 68 64 -0.586089423388958
+16 0 1 0 0 36 70 64 -0.61477035987319
+16 0 1 0 0 36 72 64 -0.631829930915171
+16 0 1 0 0 36 74 64 -0.638239370987209
+16 0 1 0 0 36 76 64 -0.631681880899216
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 -0.337794414256765
+16 0 0 0 0 36 4 64 -0.171335037756763
+16 0 0 0 0 36 8 64 0.00900705762306818
+16 0 0 0 0 36 12 64 0.188619368399998
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+16 0 0 0 0 36 24 64 0.584635099353558
+16 0 0 0 0 36 28 64 0.633332174635427
+16 0 0 0 0 36 32 64 0.626988031054254
+16 0 0 0 0 36 36 64 0.572006368518583
+16 0 0 0 0 36 40 64 0.470155355371906
+16 0 0 0 0 36 44 64 0.328626642935096
+16 0 0 0 0 36 48 64 0.161527479661504
+16 0 0 0 0 36 52 64 -0.0185604833253866
+16 0 0 0 0 36 56 64 -0.197091827504335
+16 0 0 0 0 36 60 64 -0.359336304526752
+16 0 0 0 0 36 64 64 -0.493001013258371
+16 0 0 0 0 36 68 64 -0.586089423388958
+16 0 0 0 0 36 72 64 -0.631829930915171
+16 0 0 0 0 36 76 64 -0.631681880899216
+16 0 0 0 0 36 80 64 -0.57713410242229
+16 0 0 0 0 36 84 64 -0.476912579618416
+16 0 0 0 0 36 88 64 -0.337794414256765
+16 0 0 0 0 36 92 64 -0.171335037756763
+16 0 0 0 0 36 96 64 0.00900705762306818
+16 0 0 0 0 36 100 64 0.188619368399998
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 0.46570747841084
+17 0 2 0 0 36 40 64 0.433467278212548
+17 0 2 0 0 36 41 64 0.39786139037636
+17 0 2 0 0 36 42 64 0.361498870417935
+17 0 2 0 0 36 43 64 0.322876467886244
+17 0 2 0 0 36 44 64 0.282801324086693
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+17 0 2 0 0 36 46 64 0.198566265674094
+17 0 2 0 0 36 47 64 0.154941647975132
+17 0 2 0 0 36 48 64 0.110430806813117
+17 0 2 0 0 36 49 64 0.0654289290878617
+17 0 2 0 0 36 50 64 0.0200616683167988
+17 0 2 0 0 36 51 64 -0.02539182868863
+17 0 2 0 0 36 52 64 -0.0707221305584795
+17 0 2 0 0 36 53 64 -0.115679086352291
+17 0 2 0 0 36 54 64 -0.160054803402629
+17 0 2 0 0 36 55 64 -0.203549582840353
+17 0 2 0 0 36 56 64 -0.246068098414227
+17 0 2 0 0 36 57 64 -0.287115844421735
+17 0 2 0 0 36 58 64 -0.326955168220586
+17 0 2 0 0 36 59 64 -0.364751146723146
+17 0 2 0 0 36 60 64 -0.401199732131416
+17 0 2 0 0 36 61 64 -0.435189123790478
+17 0 2 0 0 36 62 64 -0.467508952818711
+17 0 2 0 0 36 63 64 -0.497188887267672
+17 0 2 0 0 36 64 64 -0.524368078729558
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 0.42839967581875
+18 0 2 0 0 36 40 64 0.393621372677248
+18 0 2 0 0 36 41 64 0.355696494790494
+18 0 2 0 0 36 42 64 0.317321371555609
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+18 0 2 0 0 36 46 64 0.148260362980632
+18 0 2 0 0 36 47 64 0.10374545686243
+18 0 2 0 0 36 48 64 0.0585944307861043
+18 0 2 0 0 36 49 64 0.0132389495453763
+18 0 2 0 0 36 50 64 -0.0322287363964737
+18 0 2 0 0 36 51 64 -0.0775062850273616
+18 0 2 0 0 36 52 64 -0.122399610030707
+18 0 2 0 0 36 53 64 -0.166647026592268
+18 0 2 0 0 36 54 64 -0.21006088687845
+18 0 2 0 0 36 55 64 -0.252311223263527
+18 0 2 0 0 36 56 64 -0.293369224079844
+18 0 2 0 0 36 57 64 -0.332672537881876
+18 0 2 0 0 36 58 64 -0.370599621972402
+18 0 2 0 0 36 59 64 -0.406251309073617
+18 0 2 0 0 36 60 64 -0.440366065284512
+18 0 2 0 0 36 61 64 -0.471826654009687
+18 0 2 0 0 36 62 64 -0.501408571855364
+18 0 2 0 0 36 63 64 -0.52828405406998
+18 0 2 0 0 36 64 64 -0.552411321756746
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 0.634682676817871
+18 0 1 0 0 36 28 64 0.638103006223593
+18 0 1 0 0 36 30 64 0.626924466571439
+18 0 1 0 0 36 32 64 0.601072903750926
+18 0 1 0 0 36 34 64 0.566638826986834
+18 0 1 0 0 36 36 64 0.518461283101347
+18 0 1 0 0 36 38 64 0.460867413024047
+18 0 1 0 0 36 40 64 0.393621372677248
+18 0 1 0 0 36 42 64 0.317321371555609
+18 0 1 0 0 36 44 64 0.23508515985357
+18 0 1 0 0 36 46 64 0.148260362980632
+18 0 1 0 0 36 48 64 0.0585944307861043
+18 0 1 0 0 36 50 64 -0.0322287363964737
+18 0 1 0 0 36 52 64 -0.122399610030707
+18 0 1 0 0 36 54 64 -0.21006088687845
+18 0 1 0 0 36 56 64 -0.293369224079844
+18 0 1 0 0 36 58 64 -0.370599621972402
+18 0 1 0 0 36 60 64 -0.440366065284512
+18 0 1 0 0 36 62 64 -0.501408571855364
+18 0 1 0 0 36 64 64 -0.552411321756746
+18 0 1 0 0 36 66 64 -0.590696181717163
+18 0 1 0 0 36 68 64 -0.618846063372348
+18 0 1 0 0 36 70 64 -0.633096782218086
+18 0 1 0 0 36 72 64 -0.635530689308149
+18 0 1 0 0 36 74 64 -0.627922301330068
+18 0 1 0 0 36 76 64 -0.607665079303543
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 0.388478390562911
+19 0 2 0 0 36 40 64 0.351389419314031
+19 0 2 0 0 36 41 64 0.311130420583761
+19 0 2 0 0 36 42 64 0.271010413780176
+19 0 2 0 0 36 43 64 0.22875785038973
+19 0 2 0 0 36 44 64 0.18579914357345
+19 0 2 0 0 36 45 64 0.141735507456792
+19 0 2 0 0 36 46 64 0.0969692416119346
+19 0 2 0 0 36 47 64 0.0518561119946674
+19 0 2 0 0 36 48 64 0.00636927050226258
+19 0 2 0 0 36 49 64 -0.0390337036581263
+19 0 2 0 0 36 50 64 -0.0842968863264894
+19 0 2 0 0 36 51 64 -0.129090766222099
+19 0 2 0 0 36 52 64 -0.173244480116455
+19 0 2 0 0 36 53 64 -0.216479415877318
+19 0 2 0 0 36 54 64 -0.258638728013065
+19 0 2 0 0 36 55 64 -0.299353694852427
+19 0 2 0 0 36 56 64 -0.338677877920421
+19 0 2 0 0 36 57 64 -0.375978386287746
+19 0 2 0 0 36 58 64 -0.411743285890963
+19 0 2 0 0 36 59 64 -0.44502475555374
+19 0 2 0 0 36 60 64 -0.476574569117391
+19 0 2 0 0 36 61 64 -0.505286294778445
+19 0 2 0 0 36 62 64 -0.53193162261327
+19 0 2 0 0 36 63 64 -0.55565501239411
+19 0 2 0 0 36 64 64 -0.576521402759017
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 0.345668692183943
+20 0 2 0 0 36 40 64 0.306514157940223
+20 0 2 0 0 36 41 64 0.264462643650939
+20 0 2 0 0 36 42 64 0.222877336313052
+20 0 2 0 0 36 43 64 0.179224211115552
+20 0 2 0 0 36 44 64 0.13527368443792
+20 0 2 0 0 36 45 64 0.0903322837164305
+20 0 2 0 0 36 46 64 0.0450403948938235
+20 0 2 0 0 36 47 64 -0.000377178281310113
+20 0 2 0 0 36 48 64 -0.0458914513819466
+20 0 2 0 0 36 49 64 -0.0910370690518435
+20 0 2 0 0 36 50 64 -0.135792472686177
+20 0 2 0 0 36 51 64 -0.179797960409389
+20 0 2 0 0 36 52 64 -0.222914923194685
+20 0 2 0 0 36 53 64 -0.26484052832611
+20 0 2 0 0 36 54 64 -0.305461869862906
+20 0 2 0 0 36 55 64 -0.34436272295636
+20 0 2 0 0 36 56 64 -0.381692683676471
+20 0 2 0 0 36 57 64 -0.416750019710524
+20 0 2 0 0 36 58 64 -0.450116527317603
+20 0 2 0 0 36 59 64 -0.480813949755293
+20 0 2 0 0 36 60 64 -0.509584894751634
+20 0 2 0 0 36 61 64 -0.535340418965597
+20 0 2 0 0 36 62 64 -0.558874538525418
+20 0 2 0 0 36 63 64 -0.579403743640139
+20 0 2 0 0 36 64 64 -0.596901434930012
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 0.637799184714721
+20 0 1 0 0 36 28 64 0.626235591513993
+20 0 1 0 0 36 30 64 0.599068849264139
+20 0 1 0 0 36 32 64 0.559189286964574
+20 0 1 0 0 36 34 64 0.511486797201851
+20 0 1 0 0 36 36 64 0.45097508648785
+20 0 1 0 0 36 38 64 0.382907440465782
+20 0 1 0 0 36 40 64 0.306514157940223
+20 0 1 0 0 36 42 64 0.222877336313052
+20 0 1 0 0 36 44 64 0.13527368443792
+20 0 1 0 0 36 46 64 0.0450403948938235
+20 0 1 0 0 36 48 64 -0.0458914513819466
+20 0 1 0 0 36 50 64 -0.135792472686177
+20 0 1 0 0 36 52 64 -0.222914923194685
+20 0 1 0 0 36 54 64 -0.305461869862906
+20 0 1 0 0 36 56 64 -0.381692683676471
+20 0 1 0 0 36 58 64 -0.450116527317603
+20 0 1 0 0 36 60 64 -0.509584894751634
+20 0 1 0 0 36 62 64 -0.558874538525418
+20 0 1 0 0 36 64 64 -0.596901434930012
+20 0 1 0 0 36 66 64 -0.621107882712815
+20 0 1 0 0 36 68 64 -0.635006670451623
+20 0 1 0 0 36 70 64 -0.634549833544072
+20 0 1 0 0 36 72 64 -0.62235201942325
+20 0 1 0 0 36 74 64 -0.601125706583894
+20 0 1 0 0 36 76 64 -0.567045853386031
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 -0.146717342441159
+20 0 0 0 0 36 4 64 0.0344564118527246
+20 0 0 0 0 36 8 64 0.212856332547802
+20 0 0 0 0 36 12 64 0.374010450461751
+20 0 0 0 0 36 16 64 0.504851071241502
+20 0 0 0 0 36 20 64 0.594792834110813
+20 0 0 0 0 36 24 64 0.636007674397615
+20 0 0 0 0 36 28 64 0.626235591513993
+20 0 0 0 0 36 32 64 0.559189286964574
+20 0 0 0 0 36 36 64 0.45097508648785
+20 0 0 0 0 36 40 64 0.306514157940223
+20 0 0 0 0 36 44 64 0.13527368443792
+20 0 0 0 0 36 48 64 -0.0458914513819466
+20 0 0 0 0 36 52 64 -0.222914923194685
+20 0 0 0 0 36 56 64 -0.381692683676471
+20 0 0 0 0 36 60 64 -0.509584894751634
+20 0 0 0 0 36 64 64 -0.596901434930012
+20 0 0 0 0 36 68 64 -0.635006670451623
+20 0 0 0 0 36 72 64 -0.62235201942325
+20 0 0 0 0 36 76 64 -0.567045853386031
+20 0 0 0 0 36 80 64 -0.459122770404238
+20 0 0 0 0 36 84 64 -0.316110640069499
+20 0 0 0 0 36 88 64 -0.146717342441159
+20 0 0 0 0 36 92 64 0.0344564118527246
+20 0 0 0 0 36 96 64 0.212856332547802
+20 0 0 0 0 36 100 64 0.374010450461751
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 0.300844196453243
+21 0 2 0 0 36 40 64 0.259875344698484
+21 0 2 0 0 36 41 64 0.216008367110848
+21 0 2 0 0 36 42 64 0.173246441710941
+21 0 2 0 0 36 43 64 0.128481352459957
+21 0 2 0 0 36 44 64 0.0838464497595055
+21 0 2 0 0 36 45 64 0.0383219706278334
+21 0 2 0 0 36 46 64 -0.00717591134871572
+21 0 2 0 0 36 47 64 -0.0526038946131178
+21 0 2 0 0 36 48 64 -0.0978348200593294
+21 0 2 0 0 36 49 64 -0.142422015828936
+21 0 2 0 0 36 50 64 -0.186369801516471
+21 0 2 0 0 36 51 64 -0.229287411008914
+21 0 2 0 0 36 52 64 -0.271078146932538
+21 0 2 0 0 36 53 64 -0.311406010816341
+21 0 2 0 0 36 54 64 -0.350217430361178
+21 0 2 0 0 36 55 64 -0.38704057772604
+21 0 2 0 0 36 56 64 -0.422130385289875
+21 0 2 0 0 36 57 64 -0.454722749444217
+21 0 2 0 0 36 58 64 -0.485469779039371
+21 0 2 0 0 36 59 64 -0.513380282706289
+21 0 2 0 0 36 60 64 -0.539178713839917
+21 0 2 0 0 36 61 64 -0.561783999941456
+21 0 2 0 0 36 62 64 -0.582059345539764
+21 0 2 0 0 36 63 64 -0.599130494636651
+21 0 2 0 0 36 64 64 -0.613097475856869
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 0.253687953865645
+22 0 2 0 0 36 40 64 0.211179727541262
+22 0 2 0 0 36 41 64 0.16609261546683
+22 0 2 0 0 36 42 64 0.122451505487294
+22 0 2 0 0 36 43 64 0.0768692684551277
+22 0 2 0 0 36 44 64 0.0318603392285052
+22 0 2 0 0 36 45 64 -0.0139470023211567
+22 0 2 0 0 36 46 64 -0.0593293031760204
+22 0 2 0 0 36 47 64 -0.104474586276313
+22 0 2 0 0 36 48 64 -0.149110776595062
+22 0 2 0 0 36 49 64 -0.192844583504653
+22 0 2 0 0 36 50 64 -0.235689964548914
+22 0 2 0 0 36 51 64 -0.277227745945389
+22 0 2 0 0 36 52 64 -0.317412513910549
+22 0 2 0 0 36 53 64 -0.355865173613349
+22 0 2 0 0 36 54 64 -0.392608258145645
+22 0 2 0 0 36 55 64 -0.427107908874333
+22 0 2 0 0 36 56 64 -0.459727453232636
+22 0 2 0 0 36 57 64 -0.489651093130384
+22 0 2 0 0 36 58 64 -0.517574392685524
+22 0 2 0 0 36 59 64 -0.542505131800701
+22 0 2 0 0 36 60 64 -0.5651608648499
+22 0 2 0 0 36 61 64 -0.584437200121733
+22 0 2 0 0 36 62 64 -0.601335538369798
+22 0 2 0 0 36 63 64 -0.614880712649836
+22 0 2 0 0 36 64 64 -0.625260839677209
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 0.623883274708678
+22 0 1 0 0 36 28 64 0.597961122071803
+22 0 1 0 0 36 30 64 0.55521704654599
+22 0 1 0 0 36 32 64 0.502498568836776
+22 0 1 0 0 36 34 64 0.44262489588619
+22 0 1 0 0 36 36 64 0.371390542974891
+22 0 1 0 0 36 38 64 0.294722271371602
+22 0 1 0 0 36 40 64 0.211179727541262
+22 0 1 0 0 36 42 64 0.122451505487294
+22 0 1 0 0 36 44 64 0.0318603392285052
+22 0 1 0 0 36 46 64 -0.0593293031760204
+22 0 1 0 0 36 48 64 -0.149110776595062
+22 0 1 0 0 36 50 64 -0.235689964548914
+22 0 1 0 0 36 52 64 -0.317412513910549
+22 0 1 0 0 36 54 64 -0.392608258145645
+22 0 1 0 0 36 56 64 -0.459727453232636
+22 0 1 0 0 36 58 64 -0.517574392685524
+22 0 1 0 0 36 60 64 -0.5651608648499
+22 0 1 0 0 36 62 64 -0.601335538369798
+22 0 1 0 0 36 64 64 -0.625260839677209
+22 0 1 0 0 36 66 64 -0.634821055180684
+22 0 1 0 0 36 68 64 -0.634149274609067
+22 0 1 0 0 36 70 64 -0.619123066356903
+22 0 1 0 0 36 72 64 -0.592624987274439
+22 0 1 0 0 36 74 64 -0.558431787723875
+22 0 1 0 0 36 76 64 -0.512209801064185
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 0.205170226940535
+23 0 2 0 0 36 40 64 0.161391187752208
+23 0 2 0 0 36 41 64 0.11505092599853
+23 0 2 0 0 36 42 64 0.0708345434502088
+23 0 2 0 0 36 43 64 0.0247328983483017
+23 0 2 0 0 36 44 64 -0.0203384384493421
+23 0 2 0 0 36 45 64 -0.0661253450796059
+23 0 2 0 0 36 46 64 -0.11107167454957
+23 0 2 0 0 36 47 64 -0.155643052161306
+23 0 2 0 0 36 48 64 -0.199374522387455
+23 0 2 0 0 36 49 64 -0.241968058145317
+23 0 2 0 0 36 50 64 -0.283422755117539
+23 0 2 0 0 36 51 64 -0.323298638231267
+23 0 2 0 0 36 52 64 -0.361609344577792
+23 0 2 0 0 36 53 64 -0.397922922764537
+23 0 2 0 0 36 54 64 -0.432354663206006
+23 0 2 0 0 36 55 64 -0.46430486701968
+23 0 2 0 0 36 56 64 -0.494241050863663
+23 0 2 0 0 36 57 64 -0.521308747205443
+23 0 2 0 0 36 58 64 -0.546223006271433
+23 0 2 0 0 36 59 64 -0.567990886532603
+23 0 2 0 0 36 60 64 -0.587360029804813
+23 0 2 0 0 36 61 64 -0.6031449783198
+23 0 2 0 0 36 62 64 -0.616577220689613
+23 0 2 0 0 36 63 64 -0.62645828814271
+23 0 2 0 0 36 64 64 -0.633107661820204
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 0.154939070015001
+24 0 2 0 0 36 40 64 0.110188431570105
+24 0 2 0 0 36 41 64 0.0632244711482506
+24 0 2 0 0 36 42 64 0.0187426072418991
+24 0 2 0 0 36 43 64 -0.0275800872513002
+24 0 2 0 0 36 44 64 -0.0724021157683745
+24 0 2 0 0 36 45 64 -0.117865120574471
+24 0 2 0 0 36 46 64 -0.162059174596412
+24 0 2 0 0 36 47 64 -0.205768288232116
+24 0 2 0 0 36 48 64 -0.248288712885692
+24 0 2 0 0 36 49 64 -0.289464755450447
+24 0 2 0 0 36 50 64 -0.329248334592206
+24 0 2 0 0 36 51 64 -0.367192490401635
+24 0 2 0 0 36 52 64 -0.403374390285728
+24 0 2 0 0 36 53 64 -0.437301277577492
+24 0 2 0 0 36 54 64 -0.469195681302733
+24 0 2 0 0 36 55 64 -0.498391483325395
+24 0 2 0 0 36 56 64 -0.525449373921503
+24 0 2 0 0 36 57 64 -0.549488233383552
+24 0 2 0 0 36 58 64 -0.571229505870372
+24 0 2 0 0 36 59 64 -0.589661964939013
+24 0 2 0 0 36 60 64 -0.605628866699573
+24 0 2 0 0 36 61 64 -0.617780107468496
+24 0 2 0 0 36 62 64 -0.627687061108842
+24 0 2 0 0 36 63 64 -0.633784145240549
+24 0 2 0 0 36 64 64 -0.636732563809461
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 0.59303854147112
+24 0 1 0 0 36 28 64 0.553202534041964
+24 0 1 0 0 36 30 64 0.496525056525497
+24 0 1 0 0 36 32 64 0.432525696152888
+24 0 1 0 0 36 34 64 0.361907136155071
+24 0 1 0 0 36 36 64 0.281888058920602
+24 0 1 0 0 36 38 64 0.198695778602944
+24 0 1 0 0 36 40 64 0.110188431570105
+24 0 1 0 0 36 42 64 0.0187426072418991
+24 0 1 0 0 36 44 64 -0.0724021157683745
+24 0 1 0 0 36 46 64 -0.162059174596412
+24 0 1 0 0 36 48 64 -0.248288712885692
+24 0 1 0 0 36 50 64 -0.329248334592206
+24 0 1 0 0 36 52 64 -0.403374390285728
+24 0 1 0 0 36 54 64 -0.469195681302733
+24 0 1 0 0 36 56 64 -0.525449373921503
+24 0 1 0 0 36 58 64 -0.571229505870372
+24 0 1 0 0 36 60 64 -0.605628866699573
+24 0 1 0 0 36 62 64 -0.627687061108842
+24 0 1 0 0 36 64 64 -0.636732563809461
+24 0 1 0 0 36 66 64 -0.631501718450348
+24 0 1 0 0 36 68 64 -0.616307728294757
+24 0 1 0 0 36 70 64 -0.587237163288633
+24 0 1 0 0 36 72 64 -0.547180593823657
+24 0 1 0 0 36 74 64 -0.50051964838767
+24 0 1 0 0 36 76 64 -0.44236172303217
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 0.0601347218407749
+24 0 0 0 0 36 4 64 0.236957446467389
+24 0 0 0 0 36 8 64 0.394656522707972
+24 0 0 0 0 36 12 64 0.520374608331503
+24 0 0 0 0 36 16 64 0.603882176524757
+24 0 0 0 0 36 20 64 0.638499578345995
+24 0 0 0 0 36 24 64 0.620283798923382
+24 0 0 0 0 36 28 64 0.553202534041964
+24 0 0 0 0 36 32 64 0.432525696152888
+24 0 0 0 0 36 36 64 0.281888058920602
+24 0 0 0 0 36 40 64 0.110188431570105
+24 0 0 0 0 36 44 64 -0.0724021157683745
+24 0 0 0 0 36 48 64 -0.248288712885692
+24 0 0 0 0 36 52 64 -0.403374390285728
+24 0 0 0 0 36 56 64 -0.525449373921503
+24 0 0 0 0 36 60 64 -0.605628866699573
+24 0 0 0 0 36 64 64 -0.636732563809461
+24 0 0 0 0 36 68 64 -0.616307728294757
+24 0 0 0 0 36 72 64 -0.547180593823657
+24 0 0 0 0 36 76 64 -0.44236172303217
+24 0 0 0 0 36 80 64 -0.2923178765557
+24 0 0 0 0 36 84 64 -0.1218548916094
+24 0 0 0 0 36 88 64 0.0601347218407749
+24 0 0 0 0 36 92 64 0.236957446467389
+24 0 0 0 0 36 96 64 0.394656522707972
+24 0 0 0 0 36 100 64 0.520374608331503
+
+
diff --git a/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.zl b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.zl
new file mode 100644
index 000000000..ba8864e92
--- /dev/null
+++ b/CarpetExtra/HydroToy/test/hydrotoy_periodic_coarse_rl3/vz.zl
@@ -0,0 +1,1757 @@
+# HYDROTOY::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 0.132428472368254
+0 0 2 0 0 36 48 52 0.196827067972688
+0 0 2 0 0 36 48 53 0.259069185031701
+0 0 2 0 0 36 48 54 0.318472885885794
+0 0 2 0 0 36 48 55 0.374387331157387
+0 0 2 0 0 36 48 56 0.426199910483233
+0 0 2 0 0 36 48 57 0.473342954401761
+0 0 2 0 0 36 48 58 0.515299953858481
+0 0 2 0 0 36 48 59 0.55161121918728
+0 0 2 0 0 36 48 60 0.581878916566594
+0 0 2 0 0 36 48 61 0.605771426770014
+0 0 2 0 0 36 48 62 0.62302697845592
+0 0 2 0 0 36 48 63 0.633456516189086
+0 0 2 0 0 36 48 64 0.636945771771587
+0 0 2 0 0 36 48 65 0.633456516189086
+0 0 2 0 0 36 48 66 0.62302697845592
+0 0 2 0 0 36 48 67 0.605771426770014
+0 0 2 0 0 36 48 68 0.581878916566594
+0 0 2 0 0 36 48 69 0.55161121918728
+0 0 2 0 0 36 48 70 0.515299953858481
+0 0 2 0 0 36 48 71 0.47334295440176
+0 0 2 0 0 36 48 72 0.426199910483233
+0 0 2 0 0 36 48 73 0.374387331157387
+0 0 2 0 0 36 48 74 0.318472885885794
+0 0 2 0 0 36 48 75 0.259069185031701
+0 0 2 0 0 36 48 76 0.196827067972688
+0 0 2 0 0 36 48 77 0.132428472368254
+0 0 2 0 0 36 48 78 0.0665789627081145
+0 0 2 0 0 36 48 79 1.02901299771943e-15
+0 0 2 0 0 36 48 80 -0.0665789627081124
+0 0 2 0 0 36 48 81 -0.132428472368252
+0 0 2 0 0 36 48 82 -0.196827067972686
+0 0 2 0 0 36 48 83 -0.259069185031699
+0 0 2 0 0 36 48 84 -0.318472885885792
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -0.636945771771587
+0 0 1 0 0 36 48 36 -0.62302697845592
+0 0 1 0 0 36 48 38 -0.581878916566593
+0 0 1 0 0 36 48 40 -0.515299953858479
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+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 0.581878916566596
+0 0 0 0 0 36 48 4 0.636945771771587
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+0 0 0 0 0 36 48 128 0.581878916566596
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+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 0.182859447316177
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+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 0.232337107018868
+2 0 2 0 0 36 48 52 0.293071522772709
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+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -0.628552655248775
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+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 0.279960389178979
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+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 0.326042072362713
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+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -0.603952191874012
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+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 0.634847735200847
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+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 0.369620235121816
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+5 0 2 0 0 36 48 84 -0.511945952741651
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 0.410999865169581
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+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+6 0 1 0 0 36 48 66 0.486215007826137
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+6 0 1 0 0 36 48 72 0.151502287224882
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+6 0 1 0 0 36 48 84 -0.541460227221178
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+6 0 1 0 0 36 48 98 -0.392282261430892
+6 0 1 0 0 36 48 100 -0.282166175168066
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 0.449338523302173
+7 0 2 0 0 36 48 52 0.494053465005524
+7 0 2 0 0 36 48 53 0.535484237532978
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+7 0 2 0 0 36 48 83 -0.532827533926599
+7 0 2 0 0 36 48 84 -0.567161837263021
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 0.484882968613644
+8 0 2 0 0 36 48 52 0.525353226659808
+8 0 2 0 0 36 48 53 0.562357142448502
+8 0 2 0 0 36 48 54 0.588255297238538
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+8 0 2 0 0 36 48 56 0.626369539025849
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+8 0 2 0 0 36 48 62 0.574164535082256
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+8 0 2 0 0 36 48 67 0.359363952492261
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+8 0 2 0 0 36 48 71 0.114395564521575
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+8 0 2 0 0 36 48 83 -0.559808023901149
+8 0 2 0 0 36 48 84 -0.589257968883621
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -0.507666077925392
+8 0 1 0 0 36 48 36 -0.416184622317406
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+8 0 1 0 0 36 48 98 -0.306033196666563
+8 0 1 0 0 36 48 100 -0.185373045159889
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 0.621361463077223
+8 0 0 0 0 36 48 4 0.508360375451158
+8 0 0 0 0 36 48 8 0.307459160600559
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+8 0 0 0 0 36 48 128 0.307459160600559
+8 0 0 0 0 36 48 132 0.0533954637033422
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 0.516929573510861
+9 0 2 0 0 36 48 52 0.552869862228206
+9 0 2 0 0 36 48 53 0.585413290631068
+9 0 2 0 0 36 48 54 0.605977891349284
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+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 0.545672719020585
+10 0 2 0 0 36 48 52 0.576827771121588
+10 0 2 0 0 36 48 53 0.604509598475081
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+10 0 2 0 0 36 48 84 -0.621322912730077
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -0.439317615563132
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+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 0.570552177819203
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+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 0.591719804895147
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+12 0 2 0 0 36 48 84 -0.636740252506873
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -0.357269358807808
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+12 0 1 0 0 36 48 100 0.0177661373646553
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+12 0 0 0 0 36 48 108 0.48782133557532
+12 0 0 0 0 36 48 112 0.613306834949673
+12 0 0 0 0 36 48 116 0.632681699855125
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+12 0 0 0 0 36 48 124 0.358814710696292
+12 0 0 0 0 36 48 128 0.112923127684826
+12 0 0 0 0 36 48 132 -0.152493889977748
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 0.608757845205151
+13 0 2 0 0 36 48 52 0.624411357882718
+13 0 2 0 0 36 48 53 0.636923781485751
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+13 0 2 0 0 36 48 83 -0.634471020655742
+13 0 2 0 0 36 48 84 -0.638030245815621
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 0.621781049783119
+14 0 2 0 0 36 48 52 0.631993502084969
+14 0 2 0 0 36 48 53 0.639204891995474
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+14 0 2 0 0 36 48 83 -0.637182472090474
+14 0 2 0 0 36 48 84 -0.635041121404602
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 -0.267726361009025
+14 0 1 0 0 36 48 36 -0.140059386547101
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+14 0 1 0 0 36 48 98 -0.0103497138675797
+14 0 1 0 0 36 48 100 0.118697321166837
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 0.630516821264642
+15 0 2 0 0 36 48 52 0.635244326721047
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+15 0 2 0 0 36 48 83 -0.63517919950803
+15 0 2 0 0 36 48 84 -0.627776984377206
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 0.635040635453942
+16 0 2 0 0 36 48 52 0.63422776308221
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+16 0 2 0 0 36 48 83 -0.629311496662681
+16 0 2 0 0 36 48 84 -0.616236466365636
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 -0.168533868880273
+16 0 1 0 0 36 48 36 -0.0350646050036611
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+16 0 1 0 0 36 48 98 0.0930106634534206
+16 0 1 0 0 36 48 100 0.219202899995626
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 0.406862107822967
+16 0 0 0 0 36 48 4 0.171334964440367
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+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 0.635234184706545
+17 0 2 0 0 36 48 52 0.628917845128608
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+17 0 2 0 0 36 48 84 -0.600606161380032
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 0.631127531557734
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+18 0 2 0 0 36 48 84 -0.580823871417012
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 -0.0673102314701235
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+18 0 1 0 0 36 48 100 0.311579385563463
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 0.622767262234658
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+19 0 2 0 0 36 48 83 -0.585687005514906
+19 0 2 0 0 36 48 84 -0.557251491172607
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 0.610134417697536
+20 0 2 0 0 36 48 52 0.587671432498607
+20 0 2 0 0 36 48 53 0.563435464633688
+20 0 2 0 0 36 48 54 0.524541327379099
+20 0 2 0 0 36 48 55 0.488272545462242
+20 0 2 0 0 36 48 56 0.439361898849658
+20 0 2 0 0 36 48 57 0.392370478110715
+20 0 2 0 0 36 48 58 0.33469016633508
+20 0 2 0 0 36 48 59 0.279046936687323
+20 0 2 0 0 36 48 60 0.215568254193834
+20 0 2 0 0 36 48 61 0.153155008604012
+20 0 2 0 0 36 48 62 0.0868940016849411
+20 0 2 0 0 36 48 63 0.0209060913134993
+20 0 2 0 0 36 48 64 -0.0458914513819466
+20 0 2 0 0 36 48 65 -0.111922214345762
+20 0 2 0 0 36 48 66 -0.176819470659897
+20 0 2 0 0 36 48 67 -0.239749012852596
+20 0 2 0 0 36 48 68 -0.30005105766688
+20 0 2 0 0 36 48 69 -0.35707268956153
+20 0 2 0 0 36 48 70 -0.410150717100283
+20 0 2 0 0 36 48 71 -0.458746019383925
+20 0 2 0 0 36 48 72 -0.502195762865941
+20 0 2 0 0 36 48 73 -0.540179106636919
+20 0 2 0 0 36 48 74 -0.571904071177374
+20 0 2 0 0 36 48 75 -0.597605285598692
+20 0 2 0 0 36 48 76 -0.616280374265599
+20 0 2 0 0 36 48 77 -0.628921812878796
+20 0 2 0 0 36 48 78 -0.634464267158499
+20 0 2 0 0 36 48 79 -0.633811743724316
+20 0 2 0 0 36 48 80 -0.625901146592781
+20 0 2 0 0 36 48 81 -0.611566190453591
+20 0 2 0 0 36 48 82 -0.589587403047405
+20 0 2 0 0 36 48 83 -0.56329963223701
+20 0 2 0 0 36 48 84 -0.529768389081474
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 0.0383825542772788
+20 0 1 0 0 36 48 36 0.172219159433572
+20 0 1 0 0 36 48 38 0.304714146689061
+20 0 1 0 0 36 48 40 0.407504265882273
+20 0 1 0 0 36 48 42 0.501566461194165
+20 0 1 0 0 36 48 44 0.572824637407473
+20 0 1 0 0 36 48 46 0.616930643806185
+20 0 1 0 0 36 48 48 0.636019490650043
+20 0 1 0 0 36 48 50 0.625958284706923
+20 0 1 0 0 36 48 52 0.587671432498607
+20 0 1 0 0 36 48 54 0.524541327379099
+20 0 1 0 0 36 48 56 0.439361898849658
+20 0 1 0 0 36 48 58 0.33469016633508
+20 0 1 0 0 36 48 60 0.215568254193834
+20 0 1 0 0 36 48 62 0.0868940016849411
+20 0 1 0 0 36 48 64 -0.0458914513819466
+20 0 1 0 0 36 48 66 -0.176819470659897
+20 0 1 0 0 36 48 68 -0.30005105766688
+20 0 1 0 0 36 48 70 -0.410150717100283
+20 0 1 0 0 36 48 72 -0.502195762865941
+20 0 1 0 0 36 48 74 -0.571904071177374
+20 0 1 0 0 36 48 76 -0.616280374265599
+20 0 1 0 0 36 48 78 -0.634464267158499
+20 0 1 0 0 36 48 80 -0.625901146592781
+20 0 1 0 0 36 48 82 -0.589587403047405
+20 0 1 0 0 36 48 84 -0.529768389081474
+20 0 1 0 0 36 48 86 -0.441332544921162
+20 0 1 0 0 36 48 88 -0.338045209123838
+20 0 1 0 0 36 48 90 -0.217425792275713
+20 0 1 0 0 36 48 92 -0.0896700651441433
+20 0 1 0 0 36 48 94 0.0403083852655453
+20 0 1 0 0 36 48 96 0.165750957460558
+20 0 1 0 0 36 48 98 0.287775509230891
+20 0 1 0 0 36 48 100 0.398394607299534
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 0.228092326204497
+20 0 0 0 0 36 48 4 -0.0344576734701573
+20 0 0 0 0 36 48 8 -0.291047497445495
+20 0 0 0 0 36 48 12 -0.497312592198739
+20 0 0 0 0 36 48 16 -0.617586750290233
+20 0 0 0 0 36 48 20 -0.631058955554034
+20 0 0 0 0 36 48 24 -0.535344616470354
+20 0 0 0 0 36 48 28 -0.34652928074628
+20 0 0 0 0 36 48 32 -0.0969837876567549
+20 0 0 0 0 36 48 36 0.172219159433572
+20 0 0 0 0 36 48 40 0.407504265882273
+20 0 0 0 0 36 48 44 0.572824637407473
+20 0 0 0 0 36 48 48 0.636019490650043
+20 0 0 0 0 36 48 52 0.587671432498607
+20 0 0 0 0 36 48 56 0.439361898849658
+20 0 0 0 0 36 48 60 0.215568254193834
+20 0 0 0 0 36 48 64 -0.0458914513819466
+20 0 0 0 0 36 48 68 -0.30005105766688
+20 0 0 0 0 36 48 72 -0.502195762865941
+20 0 0 0 0 36 48 76 -0.616280374265599
+20 0 0 0 0 36 48 80 -0.625901146592781
+20 0 0 0 0 36 48 84 -0.529768389081474
+20 0 0 0 0 36 48 88 -0.338045209123838
+20 0 0 0 0 36 48 92 -0.0896700651441433
+20 0 0 0 0 36 48 96 0.165750957460558
+20 0 0 0 0 36 48 100 0.398394607299534
+20 0 0 0 0 36 48 104 0.571870207110279
+20 0 0 0 0 36 48 108 0.637589707012251
+20 0 0 0 0 36 48 112 0.596427090924069
+20 0 0 0 0 36 48 116 0.451180077628269
+20 0 0 0 0 36 48 120 0.228092326204497
+20 0 0 0 0 36 48 124 -0.0344576734701573
+20 0 0 0 0 36 48 128 -0.291047497445495
+20 0 0 0 0 36 48 132 -0.497312592198739
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 0.593444564628293
+21 0 2 0 0 36 48 52 0.565890263067954
+21 0 2 0 0 36 48 53 0.536654723589431
+21 0 2 0 0 36 48 54 0.493283405987128
+21 0 2 0 0 36 48 55 0.452775376034818
+21 0 2 0 0 36 48 56 0.400091128957395
+21 0 2 0 0 36 48 57 0.349654177989762
+21 0 2 0 0 36 48 58 0.289059589699413
+21 0 2 0 0 36 48 59 0.231180010354654
+21 0 2 0 0 36 48 60 0.165535954866787
+21 0 2 0 0 36 48 61 0.102077575190831
+21 0 2 0 0 36 48 62 0.0347643433890207
+21 0 2 0 0 36 48 63 -0.0312840729793684
+21 0 2 0 0 36 48 64 -0.0978348200593294
+21 0 2 0 0 36 48 65 -0.162905255495573
+21 0 2 0 0 36 48 66 -0.226347360344336
+21 0 2 0 0 36 48 67 -0.287252773195074
+21 0 2 0 0 36 48 68 -0.345014752710334
+21 0 2 0 0 36 48 69 -0.399003548922905
+21 0 2 0 0 36 48 70 -0.448573673122044
+21 0 2 0 0 36 48 71 -0.493246109610397
+21 0 2 0 0 36 48 72 -0.532348395144224
+21 0 2 0 0 36 48 73 -0.565686958243669
+21 0 2 0 0 36 48 74 -0.592429448947675
+21 0 2 0 0 36 48 75 -0.613030060035554
+21 0 2 0 0 36 48 76 -0.626477457700879
+21 0 2 0 0 36 48 77 -0.633858739316996
+21 0 2 0 0 36 48 78 -0.634156820166694
+21 0 2 0 0 36 48 79 -0.628145737316601
+21 0 2 0 0 36 48 80 -0.61485424893076
+21 0 2 0 0 36 48 81 -0.595238533183068
+21 0 2 0 0 36 48 82 -0.568138366618819
+21 0 2 0 0 36 48 83 -0.53678569557811
+21 0 2 0 0 36 48 84 -0.498898717639375
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 0.572632280977383
+22 0 2 0 0 36 48 52 0.540138912586285
+22 0 2 0 0 36 48 53 0.506236282854564
+22 0 2 0 0 36 48 54 0.458712440672386
+22 0 2 0 0 36 48 55 0.414229869488081
+22 0 2 0 0 36 48 56 0.358123633804179
+22 0 2 0 0 36 48 57 0.304555492913987
+22 0 2 0 0 36 48 58 0.241514739046135
+22 0 2 0 0 36 48 59 0.181717896798819
+22 0 2 0 0 36 48 60 0.114405807810582
+22 0 2 0 0 36 48 61 0.0503366280774977
+22 0 2 0 0 36 48 62 -0.0176013671606118
+22 0 2 0 0 36 48 63 -0.08322230345057
+22 0 2 0 0 36 48 64 -0.149110776595062
+22 0 2 0 0 36 48 65 -0.212760395167666
+22 0 2 0 0 36 48 66 -0.274330845442075
+22 0 2 0 0 36 48 67 -0.33279598406938
+22 0 2 0 0 36 48 68 -0.387628475403808
+22 0 2 0 0 36 48 69 -0.438218424523497
+22 0 2 0 0 36 48 70 -0.483939358937563
+22 0 2 0 0 36 48 71 -0.524384638352729
+22 0 2 0 0 36 48 72 -0.558864712810082
+22 0 2 0 0 36 48 73 -0.587338838544456
+22 0 2 0 0 36 48 74 -0.608936671922588
+22 0 2 0 0 36 48 75 -0.624328868604751
+22 0 2 0 0 36 48 76 -0.632516275105416
+22 0 2 0 0 36 48 77 -0.63460385174604
+22 0 2 0 0 36 48 78 -0.62964024913634
+22 0 2 0 0 36 48 79 -0.618279588126474
+22 0 2 0 0 36 48 80 -0.599653788861365
+22 0 2 0 0 36 48 81 -0.574877971037241
+22 0 2 0 0 36 48 82 -0.542845549983312
+22 0 2 0 0 36 48 83 -0.506921184746363
+22 0 2 0 0 36 48 84 -0.464467759347723
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 0.140401812911275
+22 0 1 0 0 36 48 36 0.268799987190813
+22 0 1 0 0 36 48 38 0.393846849333374
+22 0 1 0 0 36 48 40 0.480945464145274
+22 0 1 0 0 36 48 42 0.560088110161919
+22 0 1 0 0 36 48 44 0.610492946536147
+22 0 1 0 0 36 48 46 0.633631889941942
+22 0 1 0 0 36 48 48 0.630826959975432
+22 0 1 0 0 36 48 50 0.598914340950434
+22 0 1 0 0 36 48 52 0.540138912586285
+22 0 1 0 0 36 48 54 0.458712440672386
+22 0 1 0 0 36 48 56 0.358123633804179
+22 0 1 0 0 36 48 58 0.241514739046135
+22 0 1 0 0 36 48 60 0.114405807810582
+22 0 1 0 0 36 48 62 -0.0176013671606118
+22 0 1 0 0 36 48 64 -0.149110776595062
+22 0 1 0 0 36 48 66 -0.274330845442075
+22 0 1 0 0 36 48 68 -0.387628475403808
+22 0 1 0 0 36 48 70 -0.483939358937563
+22 0 1 0 0 36 48 72 -0.558864712810082
+22 0 1 0 0 36 48 74 -0.608936671922588
+22 0 1 0 0 36 48 76 -0.632516275105416
+22 0 1 0 0 36 48 78 -0.62964024913634
+22 0 1 0 0 36 48 80 -0.599653788861365
+22 0 1 0 0 36 48 82 -0.542845549983312
+22 0 1 0 0 36 48 84 -0.464467759347723
+22 0 1 0 0 36 48 86 -0.360583606891788
+22 0 1 0 0 36 48 88 -0.245476932240864
+22 0 1 0 0 36 48 90 -0.116999061088643
+22 0 1 0 0 36 48 92 0.0129520517147428
+22 0 1 0 0 36 48 94 0.141532924814094
+22 0 1 0 0 36 48 96 0.261183451409546
+22 0 1 0 0 36 48 98 0.373584744127879
+22 0 1 0 0 36 48 100 0.472740492521142
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 0.548075038727774
+23 0 2 0 0 36 48 52 0.510916118044824
+23 0 2 0 0 36 48 53 0.472393335884057
+23 0 2 0 0 36 48 54 0.421066953500251
+23 0 2 0 0 36 48 55 0.372903443690869
+23 0 2 0 0 36 48 56 0.313748847227804
+23 0 2 0 0 36 48 57 0.257399832738286
+23 0 2 0 0 36 48 58 0.192380673491427
+23 0 2 0 0 36 48 59 0.130990261932086
+23 0 2 0 0 36 48 60 0.0625378704562425
+23 0 2 0 0 36 48 61 -0.001728638644038
+23 0 2 0 0 36 48 62 -0.0698436537818771
+23 0 2 0 0 36 48 63 -0.134555885130814
+23 0 2 0 0 36 48 64 -0.199374522387455
+23 0 2 0 0 36 48 65 -0.261148029137115
+23 0 2 0 0 36 48 66 -0.320448170367278
+23 0 2 0 0 36 48 67 -0.376071510235619
+23 0 2 0 0 36 48 68 -0.427606386856805
+23 0 2 0 0 36 48 69 -0.474454157224968
+23 0 2 0 0 36 48 70 -0.516010134794956
+23 0 2 0 0 36 48 71 -0.551953653140761
+23 0 2 0 0 36 48 72 -0.581572208123121
+23 0 2 0 0 36 48 73 -0.605001173350968
+23 0 2 0 0 36 48 74 -0.621341039843825
+23 0 2 0 0 36 48 75 -0.631455447712984
+23 0 2 0 0 36 48 76 -0.634381024581077
+23 0 2 0 0 36 48 77 -0.631163257807092
+23 0 2 0 0 36 48 78 -0.620932395968804
+23 0 2 0 0 36 48 79 -0.604264701500807
+23 0 2 0 0 36 48 80 -0.580395660925748
+23 0 2 0 0 36 48 81 -0.550628557504053
+23 0 2 0 0 36 48 82 -0.513883795946651
+23 0 2 0 0 36 48 83 -0.473414256591424
+23 0 2 0 0 36 48 84 -0.427146580959282
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 0.519668173059994
+24 0 2 0 0 36 48 52 0.478055633779831
+24 0 2 0 0 36 48 53 0.435371799835653
+24 0 2 0 0 36 48 54 0.3806155247014
+24 0 2 0 0 36 48 55 0.329083701019114
+24 0 2 0 0 36 48 56 0.267274359837235
+24 0 2 0 0 36 48 57 0.208528413753363
+24 0 2 0 0 36 48 58 0.141989474656236
+24 0 2 0 0 36 48 59 0.0793416305285769
+24 0 2 0 0 36 48 60 0.0102955850539682
+24 0 2 0 0 36 48 61 -0.053780169275945
+24 0 2 0 0 36 48 62 -0.121602324975398
+24 0 2 0 0 36 48 63 -0.184940213126934
+24 0 2 0 0 36 48 64 -0.248288712885692
+24 0 2 0 0 36 48 65 -0.307739825719714
+24 0 2 0 0 36 48 66 -0.364391870189663
+24 0 2 0 0 36 48 67 -0.416788463025286
+24 0 2 0 0 36 48 68 -0.464681816329975
+24 0 2 0 0 36 48 69 -0.507468817722969
+24 0 2 0 0 36 48 70 -0.544572451505614
+24 0 2 0 0 36 48 71 -0.575772006401054
+24 0 2 0 0 36 48 72 -0.600329581582246
+24 0 2 0 0 36 48 73 -0.618573536609401
+24 0 2 0 0 36 48 74 -0.629590832952461
+24 0 2 0 0 36 48 75 -0.634392965883705
+24 0 2 0 0 36 48 76 -0.632076286729469
+24 0 2 0 0 36 48 77 -0.623561906744428
+24 0 2 0 0 36 48 78 -0.608074044284385
+24 0 2 0 0 36 48 79 -0.586179429937699
+24 0 2 0 0 36 48 80 -0.557208232481244
+24 0 2 0 0 36 48 81 -0.52264906483788
+24 0 2 0 0 36 48 82 -0.48144981647905
+24 0 2 0 0 36 48 83 -0.436885394833153
+24 0 2 0 0 36 48 84 -0.386711493556463
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 0.241222183454859
+24 0 1 0 0 36 48 36 0.360673445307137
+24 0 1 0 0 36 48 38 0.472255834786998
+24 0 1 0 0 36 48 40 0.54144154214976
+24 0 1 0 0 36 48 42 0.603828330890589
+24 0 1 0 0 36 48 44 0.631531037200588
+24 0 1 0 0 36 48 46 0.633395511251026
+24 0 1 0 0 36 48 48 0.608563245214247
+24 0 1 0 0 36 48 50 0.555670738423713
+24 0 1 0 0 36 48 52 0.478055633779831
+24 0 1 0 0 36 48 54 0.3806155247014
+24 0 1 0 0 36 48 56 0.267274359837235
+24 0 1 0 0 36 48 58 0.141989474656236
+24 0 1 0 0 36 48 60 0.0102955850539682
+24 0 1 0 0 36 48 62 -0.121602324975398
+24 0 1 0 0 36 48 64 -0.248288712885692
+24 0 1 0 0 36 48 66 -0.364391870189663
+24 0 1 0 0 36 48 68 -0.464681816329975
+24 0 1 0 0 36 48 70 -0.544572451505614
+24 0 1 0 0 36 48 72 -0.600329581582246
+24 0 1 0 0 36 48 74 -0.629590832952461
+24 0 1 0 0 36 48 76 -0.632076286729469
+24 0 1 0 0 36 48 78 -0.608074044284385
+24 0 1 0 0 36 48 80 -0.557208232481244
+24 0 1 0 0 36 48 82 -0.48144981647905
+24 0 1 0 0 36 48 84 -0.386711493556463
+24 0 1 0 0 36 48 86 -0.27026651664749
+24 0 1 0 0 36 48 88 -0.146489296517055
+24 0 1 0 0 36 48 90 -0.0137710247283092
+24 0 1 0 0 36 48 92 0.114742474128937
+24 0 1 0 0 36 48 94 0.238713681213044
+24 0 1 0 0 36 48 96 0.349804989157085
+24 0 1 0 0 36 48 98 0.45284734267347
+24 0 1 0 0 36 48 100 0.53691973212252
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 0.0250520622042941
+24 0 0 0 0 36 48 4 -0.2369648080057
+24 0 0 0 0 36 48 8 -0.457995230719076
+24 0 0 0 0 36 48 12 -0.599834516037199
+24 0 0 0 0 36 48 16 -0.637951062978087
+24 0 0 0 0 36 48 20 -0.565702158332386
+24 0 0 0 0 36 48 24 -0.395474718475438
+24 0 0 0 0 36 48 28 -0.155905867316821
+24 0 0 0 0 36 48 32 0.111277732565578
+24 0 0 0 0 36 48 36 0.360673445307137
+24 0 0 0 0 36 48 40 0.54144154214976
+24 0 0 0 0 36 48 44 0.631531037200588
+24 0 0 0 0 36 48 48 0.608563245214247
+24 0 0 0 0 36 48 52 0.478055633779831
+24 0 0 0 0 36 48 56 0.267274359837235
+24 0 0 0 0 36 48 60 0.0102955850539682
+24 0 0 0 0 36 48 64 -0.248288712885692
+24 0 0 0 0 36 48 68 -0.464681816329975
+24 0 0 0 0 36 48 72 -0.600329581582246
+24 0 0 0 0 36 48 76 -0.632076286729469
+24 0 0 0 0 36 48 80 -0.557208232481244
+24 0 0 0 0 36 48 84 -0.386711493556463
+24 0 0 0 0 36 48 88 -0.146489296517055
+24 0 0 0 0 36 48 92 0.114742474128937
+24 0 0 0 0 36 48 96 0.349804989157085
+24 0 0 0 0 36 48 100 0.53691973212252
+24 0 0 0 0 36 48 104 0.635037318340126
+24 0 0 0 0 36 48 108 0.614007735090483
+24 0 0 0 0 36 48 112 0.491842833568975
+24 0 0 0 0 36 48 116 0.282643010626413
+24 0 0 0 0 36 48 120 0.0250520622042941
+24 0 0 0 0 36 48 124 -0.2369648080057
+24 0 0 0 0 36 48 128 -0.457995230719076
+24 0 0 0 0 36 48 132 -0.599834516037199
+
+
diff --git a/CarpetExtra/IDFOScalarWave/COPYRIGHT b/CarpetExtra/IDFOScalarWave/COPYRIGHT
new file mode 100644
index 000000000..57b2896b0
--- /dev/null
+++ b/CarpetExtra/IDFOScalarWave/COPYRIGHT
@@ -0,0 +1,352 @@
+
+
+This thorn is (c) Copyright the authors listed in the sources files. This
+thorn is distributed under the GNU GPL with the specific exception that
+the GNU GPL does not migrate to code linking to or using infrastructure
+from this thorn.
+
+- The Cactus Team <cactus@cactuscode.org>
+
+**************************************************************************
+
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 675 Mass Ave, Cambridge, MA 02139, USA
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
+
+ The licenses for most software are designed to take away your
+freedom to share and change it. By contrast, the GNU General Public
+License is intended to guarantee your freedom to share and change free
+software--to make sure the software is free for all its users. This
+General Public License applies to most of the Free Software
+Foundation's software and to any other program whose authors commit to
+using it. (Some other Free Software Foundation software is covered by
+the GNU Library General Public License instead.) You can apply it to
+your programs, too.
+
+ When we speak of free software, we are referring to freedom, not
+price. Our General Public Licenses are designed to make sure that you
+have the freedom to distribute copies of free software (and charge for
+this service if you wish), that you receive source code or can get it
+if you want it, that you can change the software or use pieces of it
+in new free programs; and that you know you can do these things.
+
+ To protect your rights, we need to make restrictions that forbid
+anyone to deny you these rights or to ask you to surrender the rights.
+These restrictions translate to certain responsibilities for you if you
+distribute copies of the software, or if you modify it.
+
+ For example, if you distribute copies of such a program, whether
+gratis or for a fee, you must give the recipients all the rights that
+you have. You must make sure that they, too, receive or can get the
+source code. And you must show them these terms so they know their
+rights.
+
+ We protect your rights with two steps: (1) copyright the software, and
+(2) offer you this license which gives you legal permission to copy,
+distribute and/or modify the software.
+
+ Also, for each author's protection and ours, we want to make certain
+that everyone understands that there is no warranty for this free
+software. If the software is modified by someone else and passed on, we
+want its recipients to know that what they have is not the original, so
+that any problems introduced by others will not reflect on the original
+authors' reputations.
+
+ Finally, any free program is threatened constantly by software
+patents. We wish to avoid the danger that redistributors of a free
+program will individually obtain patent licenses, in effect making the
+program proprietary. To prevent this, we have made it clear that any
+patent must be licensed for everyone's free use or not licensed at all.
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+ <signature of Ty Coon>, 1 April 1989
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+This General Public License does not permit incorporating your program into
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+
+
diff --git a/CarpetExtra/IDFOScalarWave/README b/CarpetExtra/IDFOScalarWave/README
new file mode 100644
index 000000000..e234804ca
--- /dev/null
+++ b/CarpetExtra/IDFOScalarWave/README
@@ -0,0 +1,7 @@
+Cactus Code Thorn IDScalarWave
+Authors : Tom Goodale, Gabrielle Allen
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDFOScalarWave/README,v 1.1.1.1 2002/02/18 11:26:34 shawley Exp $
+--------------------------------------------------------------------------
+
+This thorns sets initial data for the first-order scalar wave equation evolver
+
diff --git a/CarpetExtra/IDFOScalarWave/interface.ccl b/CarpetExtra/IDFOScalarWave/interface.ccl
new file mode 100644
index 000000000..30985311c
--- /dev/null
+++ b/CarpetExtra/IDFOScalarWave/interface.ccl
@@ -0,0 +1,6 @@
+# Interface definition for thorn IDScalarWave
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDFOScalarWave/interface.ccl,v 1.4 2003/06/27 15:54:58 schnetter Exp $
+
+implements: idfoscalarwave
+inherits: fowavetoy grid
+
diff --git a/CarpetExtra/IDFOScalarWave/param.ccl b/CarpetExtra/IDFOScalarWave/param.ccl
new file mode 100644
index 000000000..56aa9b719
--- /dev/null
+++ b/CarpetExtra/IDFOScalarWave/param.ccl
@@ -0,0 +1,40 @@
+# Parameter definitions for thorn IDScalarWave
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDFOScalarWave/param.ccl,v 1.5 2003/08/27 18:44:58 schnetter Exp $
+
+KEYWORD initial_data "Type of initial data"
+{
+ "1/r" :: "1/r data"
+ "gaussian" :: "time-symmetric gaussian"
+} "1/r"
+
+## Parameter for initial wavepulses
+
+REAL radius "The radius of the gaussian wave"
+{
+ 0:* :: "Positive"
+} 0.0
+
+REAL sigma "The sigma for the gaussian wave"
+{
+ 0:* :: "Positive"
+} 0.1
+
+REAL kx "The wave number in the x-direction"
+{
+ *:* :: "No restriction"
+} 4.0
+
+REAL ky "The wave number in the y-direction"
+{
+ *:* :: "No restriction"
+} 0.0
+
+REAL kz "The wave number in the z-direction"
+{
+ *:* :: "No restriction"
+} 0.0
+
+REAL amplitude "The amplitude of the waves"
+{
+ *:* :: "No restriction"
+} 1.0
diff --git a/CarpetExtra/IDFOScalarWave/schedule.ccl b/CarpetExtra/IDFOScalarWave/schedule.ccl
new file mode 100644
index 000000000..f74df1185
--- /dev/null
+++ b/CarpetExtra/IDFOScalarWave/schedule.ccl
@@ -0,0 +1,8 @@
+# Schedule definitions for thorn IDScalarWave
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDFOScalarWave/schedule.ccl,v 1.7 2003/11/05 16:18:40 schnetter Exp $
+
+schedule IDFOScalarWave_InitialData as FOWaveToy_InitialData at INITIAL
+{
+ STORAGE: FOwavetoy::scalarevolve[3] FOwavetoy::scalarevolve_derivs[3]
+ LANG: Fortran
+} "Initial data for 3D wave equation"
diff --git a/CarpetExtra/IDFOScalarWave/src/InitialData.F77 b/CarpetExtra/IDFOScalarWave/src/InitialData.F77
new file mode 100644
index 000000000..aa361f8a1
--- /dev/null
+++ b/CarpetExtra/IDFOScalarWave/src/InitialData.F77
@@ -0,0 +1,279 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDFOScalarWave/src/InitialData.F77,v 1.8 2003/11/05 16:18:40 schnetter Exp $
+
+ /*@@
+ @file InitialData.F77
+ @date
+ @author Scott Hawley, using code from Tom Goodale, Erik Schnetter
+ @desc
+ Initial data for the 3D Wave Equation
+ @enddesc
+ @@*/
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+
+ /*@@
+ @routine IDFOScalarWave_InitialData
+ @date
+ @author Scott Hawley, using code from Tom Goodale, Erik Schnetter
+ @desc
+ Set up initial data for the wave equation
+ @enddesc
+ @calls
+ @calledby
+ @history
+
+ @endhistory
+
+@@*/
+
+ subroutine IDFOScalarWave_InitialData (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_PARAMETERS
+ DECLARE_CCTK_FUNCTIONS
+
+ INTEGER i,j,k
+ CCTK_REAL dt,omega, cpi
+ CCTK_REAL ri3
+
+c call CCTK_INFO ("IDFOScalarWave_InitialData")
+
+ cpi = 4.d0*atan(1.d0)
+
+ dt = CCTK_DELTA_TIME
+
+ omega = sqrt(kx**2+ky**2+kz**2)
+
+ if (CCTK_EQUALS(initial_data,"plane")) then
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ phi(i,j,k) = amplitude
+ $ * cos((kx*x(i,j,k) + ky*y(i,j,k) + kz*z(i,j,k)
+ $ + omega*cctk_time) * cpi)
+
+ phi_p(i,j,k) = amplitude
+ $ * cos((kx*x(i,j,k) + ky*y(i,j,k) + kz*z(i,j,k)
+ $ + omega*(cctk_time - dt)) * cpi)
+
+ phi_p_p(i,j,k) = amplitude
+ $ * cos((kx*x(i,j,k) + ky*y(i,j,k) + kz*z(i,j,k)
+ $ + omega*(cctk_time - 2*dt)) * cpi)
+
+ end do
+ end do
+ end do
+
+ else if (CCTK_EQUALS(initial_data,"gaussian")) then
+
+ do k=1, cctk_lsh(3)
+ do j=1, cctk_lsh(2)
+ do i=1, cctk_lsh(1)
+
+ phi(i,j,k) = amplitude
+ $ * exp(- (x(i,j,k) - radius)**2 / sigma**2)
+ $ * exp(- (y(i,j,k) - radius)**2 / sigma**2)
+ $ * exp(- (z(i,j,k) - radius)**2 / sigma**2)
+
+ pi(i,j,k) = 0.0
+ phix(i,j,k) = phi(i,j,k)* (-2) * (x(i,j,k) - radius)
+ $ / sigma**2
+ phiy(i,j,k) = phi(i,j,k)* (-2) * (y(i,j,k) - radius)
+ $ / sigma**2
+ phiz(i,j,k) = phi(i,j,k)* (-2) * (z(i,j,k) - radius)
+ $ / sigma**2
+
+ pi_p(i,j,k) = amplitude *
+ & exp( -(x(i,j,k) - radius - dt)**2 / sigma**2 )*
+ & exp( -(y(i,j,k) - radius - dt)**2 / sigma**2 )*
+ & exp( -(z(i,j,k) - radius - dt)**2 / sigma**2 )*
+ & ((x(i,j,k)-radius-dt) + (y(i,j,k)-radius-dt)
+ $ + (z(i,j,k)-radius-dt))/sigma**2
+ & - amplitude *
+ & exp( -(x(i,j,k) - radius + dt)**2 / sigma**2 )*
+ & exp( -(y(i,j,k) - radius + dt)**2 / sigma**2 )*
+ & exp( -(z(i,j,k) - radius + dt)**2 / sigma**2 )*
+ & ((x(i,j,k)-radius+dt) + (y(i,j,k)-radius+dt)
+ & + (z(i,j,k)-radius+dt))/sigma**2
+
+ pi_p_p(i,j,k) = amplitude *
+ & exp( -(x(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
+ & exp( -(y(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
+ & exp( -(z(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
+ & ((x(i,j,k)-radius-2*dt) + (y(i,j,k)-radius-2*dt)
+ & + (z(i,j,k)-radius-2*dt))/sigma**2
+ & - amplitude *
+ & exp( -(x(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
+ & exp( -(y(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
+ & exp( -(z(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
+ & ((x(i,j,k)-radius+2*dt) + (y(i,j,k)-radius+2*dt)
+ & + (z(i,j,k)-radius+2*dt))/sigma**2
+
+ phix_p(i,j,k) = - amplitude * (x(i,j,k) - radius - dt)
+ & / sigma**2
+ & * exp( -(x(i,j,k) - radius - dt)**2 / sigma**2 )*
+ & exp( -(y(i,j,k) - radius - dt)**2 / sigma**2 )*
+ & exp( -(z(i,j,k) - radius - dt)**2 / sigma**2 )
+ & - amplitude * (x(i,j,k) - radius + dt)
+ & / sigma**2
+ & * exp( -(x(i,j,k) - radius + dt)**2 / sigma**2 )*
+ & exp( -(y(i,j,k) - radius + dt)**2 / sigma**2 )*
+ & exp( -(z(i,j,k) - radius + dt)**2 / sigma**2 )
+
+ phix_p_p(i,j,k) = - amplitude * (x(i,j,k) - radius - 2*dt)
+ & / sigma**2
+ & * exp( -(x(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
+ & exp( -(y(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
+ & exp( -(z(i,j,k) - radius - 2*dt)**2 / sigma**2 )
+ & - amplitude * (x(i,j,k) - radius + 2*dt)
+ & / sigma**2
+ & * exp( -(x(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
+ & exp( -(y(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
+ & exp( -(z(i,j,k) - radius + 2*dt)**2 / sigma**2 )
+
+ phiy_p(i,j,k) = - amplitude * (y(i,j,k) - radius - dt)
+ & / sigma**2
+ & * exp( -(x(i,j,k) - radius - dt)**2 / sigma**2 )*
+ & exp( -(y(i,j,k) - radius - dt)**2 / sigma**2 )*
+ & exp( -(z(i,j,k) - radius - dt)**2 / sigma**2 )
+ & - amplitude * (y(i,j,k) - radius + dt)
+ & / sigma**2
+ & * exp( -(x(i,j,k) - radius + dt)**2 / sigma**2 )*
+ & exp( -(y(i,j,k) - radius + dt)**2 / sigma**2 )*
+ & exp( -(z(i,j,k) - radius + dt)**2 / sigma**2 )
+
+ phiy_p_p(i,j,k) = - amplitude * (y(i,j,k) - radius - 2*dt)
+ & / sigma**2
+ & * exp( -(x(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
+ & exp( -(y(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
+ & exp( -(z(i,j,k) - radius - 2*dt)**2 / sigma**2 )
+ & - amplitude * (y(i,j,k) - radius + 2*dt)
+ & / sigma**2
+ & * exp( -(x(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
+ & exp( -(y(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
+ & exp( -(z(i,j,k) - radius + 2*dt)**2 / sigma**2 )
+
+ phiz_p(i,j,k) = - amplitude * (z(i,j,k) - radius - dt)
+ & / sigma**2
+ & * exp( -(x(i,j,k) - radius - dt)**2 / sigma**2 )*
+ & exp( -(y(i,j,k) - radius - dt)**2 / sigma**2 )*
+ & exp( -(z(i,j,k) - radius - dt)**2 / sigma**2 )
+ & - amplitude * (z(i,j,k) - radius + dt)
+ & / sigma**2
+ & * exp( -(x(i,j,k) - radius + dt)**2 / sigma**2 )*
+ & exp( -(y(i,j,k) - radius + dt)**2 / sigma**2 )*
+ & exp( -(z(i,j,k) - radius + dt)**2 / sigma**2 )
+
+ phiz_p_p(i,j,k) = - amplitude * (z(i,j,k) - radius - 2*dt)
+ & / sigma**2
+ & * exp( -(x(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
+ & exp( -(y(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
+ & exp( -(z(i,j,k) - radius - 2*dt)**2 / sigma**2 )
+ & - amplitude * (z(i,j,k) - radius + 2*dt)
+ & / sigma**2
+ & * exp( -(x(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
+ & exp( -(y(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
+ & exp( -(z(i,j,k) - radius + 2*dt)**2 / sigma**2 )
+
+ phi_p(i,j,k) = amplitude / 2 *
+ & exp( -(x(i,j,k) - radius - dt)**2 / sigma**2 )*
+ & exp( -(y(i,j,k) - radius - dt)**2 / sigma**2 )*
+ & exp( -(z(i,j,k) - radius - dt)**2 / sigma**2 )
+ & + amplitude / 2 *
+ & exp( -(x(i,j,k) - radius + dt)**2 / sigma**2 )*
+ & exp( -(y(i,j,k) - radius + dt)**2 / sigma**2 )*
+ & exp( -(z(i,j,k) - radius + dt)**2 / sigma**2 )
+
+ phi_p_p(i,j,k) = amplitude / 2 *
+ & exp( -(x(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
+ & exp( -(y(i,j,k) - radius - 2*dt)**2 / sigma**2 )*
+ & exp( -(z(i,j,k) - radius - 2*dt)**2 / sigma**2 )
+ & + amplitude / 2 *
+ & exp( -(x(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
+ & exp( -(y(i,j,k) - radius + 2*dt)**2 / sigma**2 )*
+ & exp( -(z(i,j,k) - radius + 2*dt)**2 / sigma**2 )
+
+ end do
+ end do
+ end do
+
+ else if (CCTK_EQUALS(initial_data, "box")) then
+
+c Use kx,ky,kz as number of modes in each direction.
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ phi(i,j,k) = amplitude
+ $ * sin(kx * (x(i,j,k) - 0.5d0) * cpi)
+ $ * sin(ky * (y(i,j,k) - 0.5d0) * cpi)
+ $ * sin(kz * (z(i,j,k) - 0.5d0) * cpi)
+
+ phi_p(i,j,k) = phi(i,j,k)
+ $ * cos(omega * (cctk_time - dt) * cpi)
+
+ phi_p_p(i,j,k) = phi(i,j,k)
+ $ * cos(omega * (cctk_time - 2*dt) * cpi)
+
+ phi(i,j,k) = phi(i,j,k) * cos(omega * cctk_time * cpi)
+
+ end do
+ end do
+ end do
+
+ else if (CCTK_EQUALS(initial_data, "1/r")) then
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ pi(i,j,k) = 0.0
+ phi(i,j,k) = 1 / sqrt(x(i,j,k)**2 + y(i,j,k)**2
+ & + z(i,j,k)**2)
+ ri3 = phi(i,j,k)**3
+ phix(i,j,k) = - x(i,j,k) * ri3
+ phiy(i,j,k) = - y(i,j,k) * ri3
+ phiz(i,j,k) = - z(i,j,k) * ri3
+
+ pi_p(i,j,k) = pi(i,j,k)
+ pi_p_p(i,j,k) = pi(i,j,k)
+ phix_p(i,j,k) = phix(i,j,k)
+ phix_p_p(i,j,k) = phix(i,j,k)
+ phiy_p(i,j,k) = phiy(i,j,k)
+ phiy_p_p(i,j,k) = phiy(i,j,k)
+ phiz_p(i,j,k) = phiz(i,j,k)
+ phiz_p_p(i,j,k) = phiz(i,j,k)
+ phi_p(i,j,k) = phi(i,j,k)
+ phi_p_p(i,j,k) = phi(i,j,k)
+
+ end do
+ end do
+ end do
+
+ else
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ phi(i,j,k) = 0.0d0
+ phi_p(i,j,k) = 0.0d0
+ phi_p_p(i,j,k) = 0.0d0
+
+ end do
+ end do
+ end do
+
+ end if
+
+ end
diff --git a/CarpetExtra/IDFOScalarWave/src/make.code.defn b/CarpetExtra/IDFOScalarWave/src/make.code.defn
new file mode 100644
index 000000000..3d9912022
--- /dev/null
+++ b/CarpetExtra/IDFOScalarWave/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn IDScalarWave -*-Makefile-*-
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDFOScalarWave/src/make.code.defn,v 1.2 2003/06/27 16:26:11 schnetter Exp $
+
+# Source files in this directory
+SRCS = InitialData.F77
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/CarpetExtra/IDHydroToy/README b/CarpetExtra/IDHydroToy/README
new file mode 100644
index 000000000..3ab11b194
--- /dev/null
+++ b/CarpetExtra/IDHydroToy/README
@@ -0,0 +1,7 @@
+Cactus Code Thorn IDHydroToy
+Authors : Erik Schnetter <schnetter@uni-tuebingen.de>
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDHydroToy/README,v 1.1 2001/03/18 22:37:10 eschnett Exp $
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
diff --git a/CarpetExtra/IDHydroToy/interface.ccl b/CarpetExtra/IDHydroToy/interface.ccl
new file mode 100644
index 000000000..2e39f2268
--- /dev/null
+++ b/CarpetExtra/IDHydroToy/interface.ccl
@@ -0,0 +1,5 @@
+# Interface definition for thorn IDHydroToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDHydroToy/interface.ccl,v 1.1 2001/03/18 22:37:10 eschnett Exp $
+
+implements: idhydrotoy
+inherits: hydrotoy grid
diff --git a/CarpetExtra/IDHydroToy/param.ccl b/CarpetExtra/IDHydroToy/param.ccl
new file mode 100644
index 000000000..a0fd93f5b
--- /dev/null
+++ b/CarpetExtra/IDHydroToy/param.ccl
@@ -0,0 +1,46 @@
+# Parameter definitions for thorn IDHydroToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDHydroToy/param.ccl,v 1.2 2002/03/23 20:20:59 schnetter Exp $
+
+restricted:
+
+KEYWORD initial_data "Type of initial data"
+{
+ "plane" :: "Plane wave"
+ "gaussian" :: "Gaussian wave"
+ "box" :: "Box wave"
+ "none" :: "No initial data, zero phi"
+} "gaussian"
+
+private:
+
+## Parameter for initial wavepulses
+
+REAL radius "The radius of the gaussian wave"
+{
+ 0:* :: "Positive"
+} 0.0
+
+REAL sigma "The sigma for the gaussian wave"
+{
+ 0:* :: "Positive"
+} 0.1
+
+REAL kx "The wave number in the x-direction"
+{
+ *:* :: "No restriction"
+} 4.0
+
+REAL ky "The wave number in the y-direction"
+{
+ *:* :: "No restriction"
+} 0.0
+
+REAL kz "The wave number in the z-direction"
+{
+ *:* :: "No restriction"
+} 0.0
+
+REAL amplitude "The amplitude of the waves"
+{
+ *:* :: "No restriction"
+} 1.0
diff --git a/CarpetExtra/IDHydroToy/schedule.ccl b/CarpetExtra/IDHydroToy/schedule.ccl
new file mode 100644
index 000000000..c47184aab
--- /dev/null
+++ b/CarpetExtra/IDHydroToy/schedule.ccl
@@ -0,0 +1,13 @@
+# Schedule definitions for thorn IDHydroToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDHydroToy/schedule.ccl,v 1.3 2003/11/05 16:18:40 schnetter Exp $
+
+schedule IDHydroToy_Startup at STARTUP
+{
+ LANG: Fortran
+} "Register banner"
+
+schedule IDHydroToy_InitialData as HydroToy_InitialData at INITIAL
+{
+ LANG: Fortran
+ STORAGE: hydrotoy::hydroevolve[3]
+} "Initial data for 3D wave equation"
diff --git a/CarpetExtra/IDHydroToy/src/InitialData.F77 b/CarpetExtra/IDHydroToy/src/InitialData.F77
new file mode 100644
index 000000000..65f6e4e3a
--- /dev/null
+++ b/CarpetExtra/IDHydroToy/src/InitialData.F77
@@ -0,0 +1,231 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDHydroToy/src/InitialData.F77,v 1.6 2003/11/05 16:18:40 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine IDHydroToy_InitialData (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_PARAMETERS
+ DECLARE_CCTK_FUNCTIONS
+
+ CCTK_REAL pi
+ CCTK_REAL omega
+ CCTK_REAL dt
+ CCTK_REAL x,y,z, r
+ integer i,j,k
+
+ CCTK_REAL vr
+
+ external erf
+ real*8 erf
+
+ pi = 4*atan(1.d0)
+
+ omega = sqrt(kx**2+ky**2+kz**2)
+
+ dt = CCTK_DELTA_TIME
+
+ if (CCTK_EQUALS(initial_data,"plane")) then
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ x = cart3d_x(i,j,k)
+ y = cart3d_y(i,j,k)
+ z = cart3d_z(i,j,k)
+
+ u(i,j,k) = amplitude
+ $ * cos((kx*x + ky*y + kz*z + omega*cctk_time) * pi)
+ vx(i,j,k) = u(i,j,k) * kx / omega
+ vy(i,j,k) = u(i,j,k) * ky / omega
+ vz(i,j,k) = u(i,j,k) * kz / omega
+
+ u_p(i,j,k) = amplitude
+ $ * cos((kx*x + ky*y + kz*z + omega*(cctk_time-dt)) * pi)
+ vx_p(i,j,k) = u_p(i,j,k) * kx / omega
+ vy_p(i,j,k) = u_p(i,j,k) * ky / omega
+ vz_p(i,j,k) = u_p(i,j,k) * kz / omega
+
+ u_p_p(i,j,k) = amplitude
+ $ * cos((kx*x + ky*y + kz*z + omega*(cctk_time-2*dt)) * pi)
+ vx_p_p(i,j,k) = u_p_p(i,j,k) * kx / omega
+ vy_p_p(i,j,k) = u_p_p(i,j,k) * ky / omega
+ vz_p_p(i,j,k) = u_p_p(i,j,k) * kz / omega
+
+ end do
+ end do
+ end do
+
+ else if (CCTK_EQUALS(initial_data,"gaussian")) then
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ x = cart3d_x(i,j,k)
+ y = cart3d_y(i,j,k)
+ z = cart3d_z(i,j,k)
+ r = spher3d_r(i,j,k)
+
+ u(i,j,k) = amplitude
+ $ * exp(- (r - radius)**2 / sigma**2)
+
+ vr = - 2*amplitude * (r - radius) / sigma**2
+ $ * exp(- (r - radius)**2 / sigma**2)
+ vx(i,j,k) = vr * x/r
+ vy(i,j,k) = vr * y/r
+ vz(i,j,k) = vr * z/r
+
+ u_p(i,j,k) = amplitude/2 * (r - dt) / r
+ $ * exp(- (r - radius - dt)**2 / sigma**2)
+ $ + amplitude/2 * (r + dt) / r
+ $ * exp(- (r - radius + dt)**2 / sigma**2)
+
+ vr = - amplitude/2 * (-dt / r**2 + (r - dt) * (r - radius - dt) / (r * sigma**2))
+ $ * exp(- (r - radius - dt)**2 / sigma**2)
+ $ - amplitude/2 * ( dt / r**2 + (r + dt) * (r - radius + dt) / (r * sigma**2))
+ $ * exp(- (r - radius - dt)**2 / sigma**2)
+ vx_p(i,j,k) = vr * x/r
+ vy_p(i,j,k) = vr * y/r
+ vz_p(i,j,k) = vr * z/r
+
+ u_p_p(i,j,k) = amplitude/2 * (r - 2*dt) / r
+ $ * exp(- (r - radius - 2*dt)**2 / sigma**2)
+ $ + amplitude/2 * (r + 2*dt) / r
+ $ * exp(- (r - radius + 2*dt)**2 / sigma**2)
+
+ vr = - amplitude/2 * (-2*dt / r**2 + (r - 2*dt) * (r - radius - 2*dt) / (r * sigma**2))
+ $ * exp(- (r - radius - 2*dt)**2 / sigma**2)
+ $ - amplitude/2 * ( 2*dt / r**2 + (r + 2*dt) * (r - radius + 2*dt) / (r * sigma**2))
+ $ * exp(- (r - radius - 2*dt)**2 / sigma**2)
+ vx_p_p(i,j,k) = vr * x/r
+ vy_p_p(i,j,k) = vr * y/r
+ vz_p_p(i,j,k) = vr * z/r
+
+ end do
+ end do
+ end do
+
+ else if (CCTK_EQUALS(initial_data, "box")) then
+
+c Use kx,ky,kz as number of modes in each direction.
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ x = cart3d_x(i,j,k)
+ y = cart3d_y(i,j,k)
+ z = cart3d_z(i,j,k)
+
+ u(i,j,k) = amplitude
+ $ * sin(kx * (x - 0.5d0) * pi)
+ $ * sin(ky * (y - 0.5d0) * pi)
+ $ * sin(kz * (z - 0.5d0) * pi)
+ $ * cos(omega * cctk_time * pi)
+ vx(i,j,k) = amplitude
+ $ * cos(kx * (x - 0.5d0) * pi)
+ $ * sin(ky * (y - 0.5d0) * pi)
+ $ * sin(kz * (z - 0.5d0) * pi)
+ $ * sin(omega * cctk_time * pi)
+ $ * kx / omega
+ vy(i,j,k) = amplitude
+ $ * sin(kx * (x - 0.5d0) * pi)
+ $ * cos(ky * (y - 0.5d0) * pi)
+ $ * sin(kz * (z - 0.5d0) * pi)
+ $ * sin(omega * cctk_time * pi)
+ $ * ky / omega
+ vz(i,j,k) = amplitude
+ $ * sin(kx * (x - 0.5d0) * pi)
+ $ * sin(ky * (y - 0.5d0) * pi)
+ $ * cos(kz * (z - 0.5d0) * pi)
+ $ * sin(omega * cctk_time * pi)
+ $ * kz / omega
+
+ u_p(i,j,k) = amplitude
+ $ * sin(kx * (x - 0.5d0) * pi)
+ $ * sin(ky * (y - 0.5d0) * pi)
+ $ * sin(kz * (z - 0.5d0) * pi)
+ $ * cos(omega * (cctk_time - dt) * pi)
+ vx_p(i,j,k) = amplitude
+ $ * cos(kx * (x - 0.5d0) * pi)
+ $ * sin(ky * (y - 0.5d0) * pi)
+ $ * sin(kz * (z - 0.5d0) * pi)
+ $ * sin(omega * (cctk_time - dt) * pi)
+ $ * kx / omega
+ vy_p(i,j,k) = amplitude
+ $ * sin(kx * (x - 0.5d0) * pi)
+ $ * cos(ky * (y - 0.5d0) * pi)
+ $ * sin(kz * (z - 0.5d0) * pi)
+ $ * sin(omega * (cctk_time - dt) * pi)
+ $ * ky / omega
+ vz_p(i,j,k) = amplitude
+ $ * sin(kx * (x - 0.5d0) * pi)
+ $ * sin(ky * (y - 0.5d0) * pi)
+ $ * cos(kz * (z - 0.5d0) * pi)
+ $ * sin(omega * (cctk_time - dt) * pi)
+ $ * kz / omega
+
+ u_p_p(i,j,k) = amplitude
+ $ * sin(kx * (x - 0.5d0) * pi)
+ $ * sin(ky * (y - 0.5d0) * pi)
+ $ * sin(kz * (z - 0.5d0) * pi)
+ $ * cos(omega * (cctk_time - 2*dt) * pi)
+ vx_p_p(i,j,k) = amplitude
+ $ * cos(kx * (x - 0.5d0) * pi)
+ $ * sin(ky * (y - 0.5d0) * pi)
+ $ * sin(kz * (z - 0.5d0) * pi)
+ $ * sin(omega * (cctk_time - 2*dt) * pi)
+ $ * kx / omega
+ vy_p_p(i,j,k) = amplitude
+ $ * sin(kx * (x - 0.5d0) * pi)
+ $ * cos(ky * (y - 0.5d0) * pi)
+ $ * sin(kz * (z - 0.5d0) * pi)
+ $ * sin(omega * (cctk_time - 2*dt) * pi)
+ $ * ky / omega
+ vz_p_p(i,j,k) = amplitude
+ $ * sin(kx * (x - 0.5d0) * pi)
+ $ * sin(ky * (y - 0.5d0) * pi)
+ $ * cos(kz * (z - 0.5d0) * pi)
+ $ * sin(omega * (cctk_time - 2*dt) * pi)
+ $ * kz / omega
+
+ end do
+ end do
+ end do
+
+ else
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ u(i,j,k) = 0
+ vx(i,j,k) = 0
+ vy(i,j,k) = 0
+ vz(i,j,k) = 0
+
+ u_p(i,j,k) = 0
+ vx_p(i,j,k) = 0
+ vy_p(i,j,k) = 0
+ vz_p(i,j,k) = 0
+
+ u_p_p(i,j,k) = 0
+ vx_p_p(i,j,k) = 0
+ vy_p_p(i,j,k) = 0
+ vz_p_p(i,j,k) = 0
+
+ end do
+ end do
+ end do
+
+ end if
+
+ end
diff --git a/CarpetExtra/IDHydroToy/src/Startup.F77 b/CarpetExtra/IDHydroToy/src/Startup.F77
new file mode 100644
index 000000000..d4e87f0af
--- /dev/null
+++ b/CarpetExtra/IDHydroToy/src/Startup.F77
@@ -0,0 +1,15 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDHydroToy/src/Startup.F77,v 1.1 2001/03/18 22:37:10 eschnett Exp $
+
+#include "cctk.h"
+
+ subroutine IDHydroToy_Startup
+
+ implicit none
+
+ integer ierr
+
+ call CCTK_RegisterBanner
+ $ (ierr, "IDHydroToy: Initial data for a Scalar and a Vector Field")
+
+ end
diff --git a/CarpetExtra/IDHydroToy/src/erf.f77 b/CarpetExtra/IDHydroToy/src/erf.f77
new file mode 100644
index 000000000..30bc84520
--- /dev/null
+++ b/CarpetExtra/IDHydroToy/src/erf.f77
@@ -0,0 +1,13 @@
+ FUNCTION erf(x)
+ implicit none
+ REAL*8 erf,x
+CU USES gammp
+ REAL*8 gammp
+ if(x.lt.0)then
+ erf=-gammp(.5d0,x**2)
+ else
+ erf=gammp(.5d0,x**2)
+ endif
+ return
+ END
+C (C) Copr. 1986-92 Numerical Recipes Software t4.
diff --git a/CarpetExtra/IDHydroToy/src/gammln.f77 b/CarpetExtra/IDHydroToy/src/gammln.f77
new file mode 100644
index 000000000..b99fb6aa2
--- /dev/null
+++ b/CarpetExtra/IDHydroToy/src/gammln.f77
@@ -0,0 +1,22 @@
+ FUNCTION gammln(xx)
+ implicit none
+ REAL*8 gammln,xx
+ INTEGER j
+ DOUBLE PRECISION ser,stp,tmp,x,y,cof(6)
+ SAVE cof,stp
+ DATA cof,stp/76.18009172947146d0,-86.50532032941677d0,
+ *24.01409824083091d0,-1.231739572450155d0,.1208650973866179d-2,
+ *-.5395239384953d-5,2.5066282746310005d0/
+ x=xx
+ y=x
+ tmp=x+5.5d0
+ tmp=(x+0.5d0)*log(tmp)-tmp
+ ser=1.000000000190015d0
+ do 11 j=1,6
+ y=y+1.d0
+ ser=ser+cof(j)/y
+11 continue
+ gammln=tmp+log(stp*ser/x)
+ return
+ END
+C (C) Copr. 1986-92 Numerical Recipes Software t4.
diff --git a/CarpetExtra/IDHydroToy/src/gammp.f77 b/CarpetExtra/IDHydroToy/src/gammp.f77
new file mode 100644
index 000000000..99a938857
--- /dev/null
+++ b/CarpetExtra/IDHydroToy/src/gammp.f77
@@ -0,0 +1,16 @@
+ FUNCTION gammp(a,x)
+ implicit none
+ REAL*8 a,gammp,x
+CU USES gcf,gser
+ REAL*8 gammcf,gamser,gln
+ if(x.lt.0.or.a.le.0)pause 'bad arguments in gammp'
+ if(x.lt.a+1)then
+ call gser(gamser,a,x,gln)
+ gammp=gamser
+ else
+ call gcf(gammcf,a,x,gln)
+ gammp=1-gammcf
+ endif
+ return
+ END
+C (C) Copr. 1986-92 Numerical Recipes Software t4.
diff --git a/CarpetExtra/IDHydroToy/src/gcf.f77 b/CarpetExtra/IDHydroToy/src/gcf.f77
new file mode 100644
index 000000000..09fd58aa0
--- /dev/null
+++ b/CarpetExtra/IDHydroToy/src/gcf.f77
@@ -0,0 +1,30 @@
+ SUBROUTINE gcf(gammcf,a,x,gln)
+ implicit none
+ INTEGER ITMAX
+ REAL*8 a,gammcf,gln,x,EPS,FPMIN
+ PARAMETER (ITMAX=100,EPS=3.d-7,FPMIN=1.d-30)
+CU USES gammln
+ INTEGER i
+ REAL*8 an,b,c,d,del,h,gammln
+ gln=gammln(a)
+ b=x+1-a
+ c=1/FPMIN
+ d=1/b
+ h=d
+ do 11 i=1,ITMAX
+ an=-i*(i-a)
+ b=b+2
+ d=an*d+b
+ if(abs(d).lt.FPMIN)d=FPMIN
+ c=b+an/c
+ if(abs(c).lt.FPMIN)c=FPMIN
+ d=1/d
+ del=d*c
+ h=h*del
+ if(abs(del-1).lt.EPS)goto 1
+11 continue
+ pause 'a too large, ITMAX too small in gcf'
+1 gammcf=exp(-x+a*log(x)-gln)*h
+ return
+ END
+C (C) Copr. 1986-92 Numerical Recipes Software t4.
diff --git a/CarpetExtra/IDHydroToy/src/gser.f77 b/CarpetExtra/IDHydroToy/src/gser.f77
new file mode 100644
index 000000000..fad2be01f
--- /dev/null
+++ b/CarpetExtra/IDHydroToy/src/gser.f77
@@ -0,0 +1,28 @@
+ SUBROUTINE gser(gamser,a,x,gln)
+ implicit none
+ INTEGER ITMAX
+ REAL*8 a,gamser,gln,x,EPS
+ PARAMETER (ITMAX=100,EPS=3.d-7)
+CU USES gammln
+ INTEGER n
+ REAL*8 ap,del,sum,gammln
+ gln=gammln(a)
+ if(x.le.0)then
+ if(x.lt.0)pause 'x < 0 in gser'
+ gamser=0
+ return
+ endif
+ ap=a
+ sum=1/a
+ del=sum
+ do 11 n=1,ITMAX
+ ap=ap+1
+ del=del*x/ap
+ sum=sum+del
+ if(abs(del).lt.abs(sum)*EPS)goto 1
+11 continue
+ pause 'a too large, ITMAX too small in gser'
+1 gamser=sum*exp(-x+a*log(x)-gln)
+ return
+ END
+C (C) Copr. 1986-92 Numerical Recipes Software t4.
diff --git a/CarpetExtra/IDHydroToy/src/make.code.defn b/CarpetExtra/IDHydroToy/src/make.code.defn
new file mode 100644
index 000000000..a63bda2f5
--- /dev/null
+++ b/CarpetExtra/IDHydroToy/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn IDHydroToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDHydroToy/src/make.code.defn,v 1.3 2003/09/20 13:47:27 schnetter Exp $
+
+# Source files in this directory
+SRCS = InitialData.F77 Startup.F77 erf.f77 gammln.f77 gammp.f77 gcf.f77 gser.f77
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/CarpetExtra/IDScalarWave/COPYRIGHT b/CarpetExtra/IDScalarWave/COPYRIGHT
new file mode 100644
index 000000000..57b2896b0
--- /dev/null
+++ b/CarpetExtra/IDScalarWave/COPYRIGHT
@@ -0,0 +1,352 @@
+
+
+This thorn is (c) Copyright the authors listed in the sources files. This
+thorn is distributed under the GNU GPL with the specific exception that
+the GNU GPL does not migrate to code linking to or using infrastructure
+from this thorn.
+
+- The Cactus Team <cactus@cactuscode.org>
+
+**************************************************************************
+
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 675 Mass Ave, Cambridge, MA 02139, USA
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+ Appendix: How to Apply These Terms to Your New Programs
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+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
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+ This program is distributed in the hope that it will be useful,
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+ Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+ This is free software, and you are welcome to redistribute it
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+
+The hypothetical commands `show w' and `show c' should show the appropriate
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+
+You should also get your employer (if you work as a programmer) or your
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+ `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+ <signature of Ty Coon>, 1 April 1989
+ Ty Coon, President of Vice
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+This General Public License does not permit incorporating your program into
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+
+
diff --git a/CarpetExtra/IDScalarWave/README b/CarpetExtra/IDScalarWave/README
new file mode 100644
index 000000000..8f6722ee6
--- /dev/null
+++ b/CarpetExtra/IDScalarWave/README
@@ -0,0 +1,7 @@
+Cactus Code Thorn IDScalarWave
+Authors : Tom Goodale, Gabrielle Allen
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWave/README,v 1.1 2001/03/01 13:40:10 eschnett Exp $
+--------------------------------------------------------------------------
+
+This thorns sets initial data for the scalar wave equation evolver
+
diff --git a/CarpetExtra/IDScalarWave/interface.ccl b/CarpetExtra/IDScalarWave/interface.ccl
new file mode 100644
index 000000000..6d3253269
--- /dev/null
+++ b/CarpetExtra/IDScalarWave/interface.ccl
@@ -0,0 +1,5 @@
+# Interface definition for thorn IDScalarWave
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWave/interface.ccl,v 1.1 2001/03/01 13:40:10 eschnett Exp $
+
+implements: idscalarwave
+inherits: wavetoy grid
diff --git a/CarpetExtra/IDScalarWave/param.ccl b/CarpetExtra/IDScalarWave/param.ccl
new file mode 100644
index 000000000..e44af902a
--- /dev/null
+++ b/CarpetExtra/IDScalarWave/param.ccl
@@ -0,0 +1,62 @@
+# Parameter definitions for thorn IDScalarWave
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWave/param.ccl,v 1.5 2002/03/23 20:21:00 schnetter Exp $
+
+restricted:
+
+KEYWORD initial_data "Type of initial data"
+{
+ "plane" :: "Plane wave"
+ "gaussian" :: "Gaussian wave"
+ "box" :: "Box wave"
+ "1/r" :: "1/r data"
+ "none" :: "No initial data, zero phi"
+} "gaussian"
+
+private:
+
+## Parameter for initial wavepulses
+
+REAL radius "The radius of the gaussian wave"
+{
+ *:* :: "No restriction"
+} 0.0
+
+REAL sigma "The sigma for the gaussian wave"
+{
+ 0:* :: "Positive"
+} 0.1
+
+REAL kx "The wave number in the x-direction"
+{
+ *:* :: "No restriction"
+} 4.0
+
+REAL ky "The wave number in the y-direction"
+{
+ *:* :: "No restriction"
+} 0.0
+
+REAL kz "The wave number in the z-direction"
+{
+ *:* :: "No restriction"
+} 0.0
+
+REAL amplitude "The amplitude of the waves"
+{
+ *:* :: "No restriction"
+} 1.0
+
+REAL cx "x-coordinate of center of 1/r initial data"
+{
+ *:* :: "No restriction"
+} 0.0
+
+REAL cy "y-coordinate of center of 1/r initial data"
+{
+ *:* :: "No restriction"
+} 0.0
+
+REAL cz "z-coordinate of center of 1/r initial data"
+{
+ *:* :: "No restriction"
+} 0.0
diff --git a/CarpetExtra/IDScalarWave/schedule.ccl b/CarpetExtra/IDScalarWave/schedule.ccl
new file mode 100644
index 000000000..19bbd7cd1
--- /dev/null
+++ b/CarpetExtra/IDScalarWave/schedule.ccl
@@ -0,0 +1,13 @@
+# Schedule definitions for thorn IDScalarWave
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWave/schedule.ccl,v 1.5 2003/11/05 16:18:40 schnetter Exp $
+
+schedule IDScalarWave_CheckParameters at PARAMCHECK
+{
+ LANG: Fortran
+} "Check parameters"
+
+schedule IDScalarWave_InitialData as WaveToy_InitialData at INITIAL
+{
+ STORAGE: wavetoy::scalarevolve[3]
+ LANG: Fortran
+} "Initial data for 3D wave equation"
diff --git a/CarpetExtra/IDScalarWave/src/CheckParameters.F77 b/CarpetExtra/IDScalarWave/src/CheckParameters.F77
new file mode 100644
index 000000000..56cf12d1f
--- /dev/null
+++ b/CarpetExtra/IDScalarWave/src/CheckParameters.F77
@@ -0,0 +1,51 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWave/src/CheckParameters.F77,v 1.5 2003/11/05 16:18:40 schnetter Exp $
+
+ /*@@
+ @file CheckParameters.F77
+ @date
+ @author Gabrielle Allen
+ @desc
+ Check parameters for the wave equation initial data
+ @enddesc
+ @@*/
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+
+ /*@@
+ @routine IDScalarWave_CheckParameters
+ @date
+ @author Gabrielle Allen
+ @desc
+ Check parameters for the wave equation initial data
+ @enddesc
+ @calls
+ @calledby
+ @history
+
+ @endhistory
+
+@@*/
+
+ subroutine IDScalarWave_CheckParameters(CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ if (CCTK_EQUALS(initial_data,"box")) then
+
+ if (kx.eq.0 .or. ky.eq.0 .or. kz.eq.0) then
+ call CCTK_PARAMWARN("Cannot have zero kx,ky,kz for box initial data")
+ end if
+
+ end if
+
+ return
+ end
diff --git a/CarpetExtra/IDScalarWave/src/InitialData.F77 b/CarpetExtra/IDScalarWave/src/InitialData.F77
new file mode 100644
index 000000000..0ee71e625
--- /dev/null
+++ b/CarpetExtra/IDScalarWave/src/InitialData.F77
@@ -0,0 +1,191 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWave/src/InitialData.F77,v 1.14 2003/11/05 16:18:40 schnetter Exp $
+
+ /*@@
+ @file InitialData.F77
+ @date
+ @author Tom Goodale, Erik Schnetter
+ @desc
+ Initial data for the 3D Wave Equation
+ @enddesc
+ @@*/
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+
+ /*@@
+ @routine IDScalarWave_InitialData
+ @date
+ @author Tom Goodale, Erik Schnetter
+ @desc
+ Set up initial data for the wave equation
+ @enddesc
+ @calls
+ @calledby
+ @history
+
+ @endhistory
+
+@@*/
+
+ subroutine IDScalarWave_InitialData (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_PARAMETERS
+ DECLARE_CCTK_FUNCTIONS
+
+ INTEGER i,j,k
+ CCTK_REAL dt,omega, pi
+ CCTK_REAL t
+ CCTK_REAL x,y,z, r
+
+c call CCTK_INFO ("IDScalarWave_InitialData")
+
+ pi = 4.d0*atan(1.d0)
+
+ t = cctk_time
+ dt = CCTK_DELTA_TIME
+
+ omega = sqrt(kx**2+ky**2+kz**2)
+
+ if (CCTK_EQUALS(initial_data,"plane")) then
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ x = cart3d_x(i,j,k)
+ y = cart3d_y(i,j,k)
+ z = cart3d_z(i,j,k)
+
+ phi(i,j,k) = amplitude
+ $ * cos((kx*x + ky*y + kz*z + omega*cctk_time) * pi)
+
+ phi_p(i,j,k) = amplitude
+ $ * cos((kx*x + ky*y + kz*z + omega*(cctk_time - dt)) * pi)
+
+ phi_p_p(i,j,k) = amplitude
+ $ * cos((kx*x + ky*y + kz*z + omega*(cctk_time - 2*dt)) * pi)
+
+ end do
+ end do
+ end do
+
+ else if (CCTK_EQUALS(initial_data,"gaussian")) then
+
+ do k=1, cctk_lsh(3)
+ do j=1, cctk_lsh(2)
+ do i=1, cctk_lsh(1)
+
+ r = spher3d_r(i,j,k)
+
+ if (r .ne. 0) then
+ phi(i,j,k) = amplitude/2 * (r - radius - t) / r
+ $ * exp(- (r - radius - t)**2 / sigma**2)
+ $ + amplitude/2 * (r + radius + t) / r
+ $ * exp(- (r + radius + t)**2 / sigma**2)
+
+ phi_p(i,j,k) = amplitude/2 * (r - radius - t + dt) / r
+ $ * exp(- (r - radius - t + dt)**2 / sigma**2)
+ $ + amplitude/2 * (r + radius + t - dt) / r
+ $ * exp(- (r + radius + t - dt)**2 / sigma**2)
+
+ phi_p_p(i,j,k) = amplitude/2 * (r - radius - t + 2*dt) / r
+ $ * exp(- (r - radius - t + 2*dt)**2 / sigma**2)
+ $ + amplitude/2 * (r + radius + t - 2*dt) / r
+ $ * exp(- (r + radius + t - 2*dt)**2 / sigma**2)
+
+ else
+
+ phi(i,j,k) = amplitude
+ $ * (1 - 2 * (radius + t)**2 / sigma**2)
+ $ * exp(- (radius + t)**2 / sigma**2)
+
+ phi_p(i,j,k) = amplitude
+ $ * (1 - 2 * (radius + t - dt)**2 / sigma**2)
+ $ * exp(- (radius + t - dt)**2 / sigma**2)
+
+ phi_p_p(i,j,k) = amplitude
+ $ * (1 - 2 * (radius + t - 2*dt)**2 / sigma**2)
+ $ * exp(- (radius + t - 2*dt)**2 / sigma**2)
+
+ end if
+
+ end do
+ end do
+ end do
+
+ else if (CCTK_EQUALS(initial_data, "box")) then
+
+c Use kx,ky,kz as number of modes in each direction.
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ x = cart3d_x(i,j,k)
+ y = cart3d_y(i,j,k)
+ z = cart3d_z(i,j,k)
+
+ phi(i,j,k) = amplitude
+ $ * sin(kx * (x - 0.5d0) * pi)
+ $ * sin(ky * (y - 0.5d0) * pi)
+ $ * sin(kz * (z - 0.5d0) * pi)
+ $ * cos(omega * cctk_time * pi)
+
+ phi_p(i,j,k) = amplitude
+ $ * sin(kx * (x - 0.5d0) * pi)
+ $ * sin(ky * (y - 0.5d0) * pi)
+ $ * sin(kz * (z - 0.5d0) * pi)
+ $ * cos(omega * (cctk_time - dt) * pi)
+
+ phi_p_p(i,j,k) = amplitude
+ $ * sin(kx * (x - 0.5d0) * pi)
+ $ * sin(ky * (y - 0.5d0) * pi)
+ $ * sin(kz * (z - 0.5d0) * pi)
+ $ * cos(omega * (cctk_time - 2*dt) * pi)
+
+ end do
+ end do
+ end do
+
+ else if (CCTK_EQUALS(initial_data, "1/r")) then
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ x = cart3d_x(i,j,k)
+ y = cart3d_y(i,j,k)
+ z = cart3d_z(i,j,k)
+
+ phi(i,j,k) = 1 / sqrt((x-cx)**2 + (y-cy)**2 + (z-cz)**2)
+ phi_p(i,j,k) = phi(i,j,k)
+ phi_p_p(i,j,k) = phi(i,j,k)
+
+ end do
+ end do
+ end do
+
+ else
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ phi(i,j,k) = 0.0d0
+ phi_p(i,j,k) = 0.0d0
+ phi_p_p(i,j,k) = 0.0d0
+
+ end do
+ end do
+ end do
+
+ end if
+
+ end
diff --git a/CarpetExtra/IDScalarWave/src/make.code.defn b/CarpetExtra/IDScalarWave/src/make.code.defn
new file mode 100644
index 000000000..cf47303ce
--- /dev/null
+++ b/CarpetExtra/IDScalarWave/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn IDScalarWave -*-Makefile-*-
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWave/src/make.code.defn,v 1.2 2001/03/17 16:04:59 eschnett Exp $
+
+# Source files in this directory
+SRCS = InitialData.F77 CheckParameters.F77
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/CarpetExtra/IDScalarWaveExpl/README b/CarpetExtra/IDScalarWaveExpl/README
new file mode 100644
index 000000000..cc18652e8
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveExpl/README
@@ -0,0 +1,10 @@
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveExpl/README,v 1.1 2003/06/18 18:24:29 schnetter Exp $
+
+Cactus Code Thorn IDScalarWaveExpl
+Thorn Author(s) : Erik Schnetter <schnetter@uni-tuebingen.de>
+Thorn Maintainer(s) : Erik Schnetter <schnetter@uni-tuebingen.de>
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+Create initial data for WaveToyExpl.
diff --git a/CarpetExtra/IDScalarWaveExpl/doc/documentation.tex b/CarpetExtra/IDScalarWaveExpl/doc/documentation.tex
new file mode 100644
index 000000000..40832d323
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveExpl/doc/documentation.tex
@@ -0,0 +1,144 @@
+% *======================================================================*
+% Cactus Thorn template for ThornGuide documentation
+% Author: Ian Kelley
+% Date: Sun Jun 02, 2002
+% $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveExpl/doc/documentation.tex,v 1.1 2003/06/18 18:24:29 schnetter Exp $
+%
+% Thorn documentation in the latex file doc/documentation.tex
+% will be included in ThornGuides built with the Cactus make system.
+% The scripts employed by the make system automatically include
+% pages about variables, parameters and scheduling parsed from the
+% relevent thorn CCL files.
+%
+% This template contains guidelines which help to assure that your
+% documentation will be correctly added to ThornGuides. More
+% information is available in the Cactus UsersGuide.
+%
+% Guidelines:
+% - Do not change anything before the line
+% % START CACTUS THORNGUIDE",
+% except for filling in the title, author, date etc. fields.
+% - Each of these fields should only be on ONE line.
+% - Author names should be sparated with a \\ or a comma
+% - You can define your own macros, but they must appear after
+% the START CACTUS THORNGUIDE line, and must not redefine standard
+% latex commands.
+% - To avoid name clashes with other thorns, 'labels', 'citations',
+% 'references', and 'image' names should conform to the following
+% convention:
+% ARRANGEMENT_THORN_LABEL
+% For example, an image wave.eps in the arrangement CactusWave and
+% thorn WaveToyC should be renamed to CactusWave_WaveToyC_wave.eps
+% - Graphics should only be included using the graphix package.
+% More specifically, with the "includegraphics" command. Do
+% not specify any graphic file extensions in your .tex file. This
+% will allow us (later) to create a PDF version of the ThornGuide
+% via pdflatex. |
+% - References should be included with the latex "bibitem" command.
+% - Use \begin{abstract}...\end{abstract} instead of \abstract{...}
+% - Do not use \appendix, instead include any appendices you need as
+% standard sections.
+% - For the benefit of our Perl scripts, and for future extensions,
+% please use simple latex.
+%
+% *======================================================================*
+%
+% Example of including a graphic image:
+% \begin{figure}[ht]
+% \begin{center}
+% \includegraphics[width=6cm]{MyArrangement_MyThorn_MyFigure}
+% \end{center}
+% \caption{Illustration of this and that}
+% \label{MyArrangement_MyThorn_MyLabel}
+% \end{figure}
+%
+% Example of using a label:
+% \label{MyArrangement_MyThorn_MyLabel}
+%
+% Example of a citation:
+% \cite{MyArrangement_MyThorn_Author99}
+%
+% Example of including a reference
+% \bibitem{MyArrangement_MyThorn_Author99}
+% {J. Author, {\em The Title of the Book, Journal, or periodical}, 1 (1999),
+% 1--16. {\tt http://www.nowhere.com/}}
+%
+% *======================================================================*
+
+% If you are using CVS use this line to give version information
+% $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveExpl/doc/documentation.tex,v 1.1 2003/06/18 18:24:29 schnetter Exp $
+
+\documentclass{article}
+
+% Use the Cactus ThornGuide style file
+% (Automatically used from Cactus distribution, if you have a
+% thorn without the Cactus Flesh download this from the Cactus
+% homepage at www.cactuscode.org)
+\usepackage{../../../../doc/latex/cactus}
+
+\begin{document}
+
+% The author of the documentation
+\author{Erik Schnetter \textless schnetter@uni-tuebingen.de\textgreater}
+
+% The title of the document (not necessarily the name of the Thorn)
+\title{}
+
+% the date your document was last changed, if your document is in CVS,
+% please use:
+% \date{$ $Date: 2003/06/18 18:24:29 $ $}
+\date{June 18 2003}
+
+\maketitle
+
+% Do not delete next line
+% START CACTUS THORNGUIDE
+
+% Add all definitions used in this documentation here
+% \def\mydef etc
+
+% Add an abstract for this thorn's documentation
+\begin{abstract}
+
+\end{abstract}
+
+% The following sections are suggestive only.
+% Remove them or add your own.
+
+\section{Introduction}
+
+\section{Physical System}
+
+\section{Numerical Implementation}
+
+\section{Using This Thorn}
+
+\subsection{Obtaining This Thorn}
+
+\subsection{Basic Usage}
+
+\subsection{Special Behaviour}
+
+\subsection{Interaction With Other Thorns}
+
+\subsection{Examples}
+
+\subsection{Support and Feedback}
+
+\section{History}
+
+\subsection{Thorn Source Code}
+
+\subsection{Thorn Documentation}
+
+\subsection{Acknowledgements}
+
+
+\begin{thebibliography}{9}
+
+\end{thebibliography}
+
+% Do not delete next line
+% END CACTUS THORNGUIDE
+
+\end{document}
diff --git a/CarpetExtra/IDScalarWaveExpl/interface.ccl b/CarpetExtra/IDScalarWaveExpl/interface.ccl
new file mode 100644
index 000000000..7ea6b1133
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveExpl/interface.ccl
@@ -0,0 +1,6 @@
+# Interface definition for thorn IDScalarWaveExpl
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveExpl/interface.ccl,v 1.1 2003/06/18 18:24:29 schnetter Exp $
+
+IMPLEMENTS: IDScalarWaveExpl
+
+INHERITS: Grid WaveToyExpl
diff --git a/CarpetExtra/IDScalarWaveExpl/param.ccl b/CarpetExtra/IDScalarWaveExpl/param.ccl
new file mode 100644
index 000000000..fad40e202
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveExpl/param.ccl
@@ -0,0 +1,22 @@
+# Parameter definitions for thorn IDScalarWaveExpl
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveExpl/param.ccl,v 1.1 2003/06/18 18:24:29 schnetter Exp $
+
+CCTK_REAL wave_number[3] "Wave number"
+{
+ *:* :: ""
+} 0.0
+
+CCTK_REAL phase_offset[3] "Phase offset"
+{
+ *:* :: ""
+} 0.0
+
+CCTK_REAL time_offset "Time offset"
+{
+ *:* :: ""
+} 0.0
+
+CCTK_REAL amplitude "Wave amplitude"
+{
+ *:* :: ""
+} 1.0
diff --git a/CarpetExtra/IDScalarWaveExpl/schedule.ccl b/CarpetExtra/IDScalarWaveExpl/schedule.ccl
new file mode 100644
index 000000000..f3cf87be0
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveExpl/schedule.ccl
@@ -0,0 +1,8 @@
+# Schedule definitions for thorn IDScalarWaveExpl
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveExpl/schedule.ccl,v 1.2 2003/11/05 16:18:40 schnetter Exp $
+
+SCHEDULE IDScalarWaveExpl_InitialData AT initial
+{
+ LANG: Fortran
+ STORAGE: WaveToyExpl::scalarevolve[1]
+} "Initial data for the scalar field"
diff --git a/CarpetExtra/IDScalarWaveExpl/src/initialdata.F77 b/CarpetExtra/IDScalarWaveExpl/src/initialdata.F77
new file mode 100644
index 000000000..33a19b6cb
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveExpl/src/initialdata.F77
@@ -0,0 +1,34 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveExpl/src/initialdata.F77,v 1.2 2003/11/05 16:18:40 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine IDScalarWaveExpl_InitialData (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ CCTK_REAL pi
+ parameter (pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117068d0)
+ CCTK_REAL omega
+ integer i, j, k
+ omega = sqrt(wave_number(1)**2 + wave_number(2)**2 + wave_number(3)**2)
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+ phi(i,j,k) = amplitude * cos (2*pi *
+ $ ( wave_number(1)*(x(i,j,k)-phase_offset(1))
+ $ + wave_number(2)*(y(i,j,k)-phase_offset(2))
+ $ + wave_number(3)*(z(i,j,k)-phase_offset(3))
+ $ + omega*(cctk_time-time_offset)))
+ psi(i,j,k) = - amplitude * 2*pi * omega * sin (2*pi *
+ $ ( wave_number(1)*(x(i,j,k)-phase_offset(1))
+ $ + wave_number(2)*(y(i,j,k)-phase_offset(2))
+ $ + wave_number(3)*(z(i,j,k)-phase_offset(3))
+ $ + omega*(cctk_time-time_offset)))
+ end do
+ end do
+ end do
+ end
diff --git a/CarpetExtra/IDScalarWaveExpl/src/make.code.defn b/CarpetExtra/IDScalarWaveExpl/src/make.code.defn
new file mode 100644
index 000000000..9b92a901f
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveExpl/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn IDScalarWaveExpl
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveExpl/src/make.code.defn,v 1.1 2003/06/18 18:24:29 schnetter Exp $
+
+# Source files in this directory
+SRCS = initialdata.F77
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/CarpetExtra/IDScalarWaveFO/README b/CarpetExtra/IDScalarWaveFO/README
new file mode 100644
index 000000000..6c4dd2d75
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveFO/README
@@ -0,0 +1,10 @@
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveFO/README,v 1.1 2003/06/18 18:24:29 schnetter Exp $
+
+Cactus Code Thorn IDScalarWaveFO
+Thorn Author(s) : Erik Schnetter <schnetter@uni-tuebingen.de>
+Thorn Maintainer(s) : Erik Schnetter <schnetter@uni-tuebingen.de>
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+Create initial data for WaveToyFO.
diff --git a/CarpetExtra/IDScalarWaveFO/doc/documentation.tex b/CarpetExtra/IDScalarWaveFO/doc/documentation.tex
new file mode 100644
index 000000000..96a39119b
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveFO/doc/documentation.tex
@@ -0,0 +1,144 @@
+% *======================================================================*
+% Cactus Thorn template for ThornGuide documentation
+% Author: Ian Kelley
+% Date: Sun Jun 02, 2002
+% $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveFO/doc/documentation.tex,v 1.1 2003/06/18 18:24:29 schnetter Exp $
+%
+% Thorn documentation in the latex file doc/documentation.tex
+% will be included in ThornGuides built with the Cactus make system.
+% The scripts employed by the make system automatically include
+% pages about variables, parameters and scheduling parsed from the
+% relevent thorn CCL files.
+%
+% This template contains guidelines which help to assure that your
+% documentation will be correctly added to ThornGuides. More
+% information is available in the Cactus UsersGuide.
+%
+% Guidelines:
+% - Do not change anything before the line
+% % START CACTUS THORNGUIDE",
+% except for filling in the title, author, date etc. fields.
+% - Each of these fields should only be on ONE line.
+% - Author names should be sparated with a \\ or a comma
+% - You can define your own macros, but they must appear after
+% the START CACTUS THORNGUIDE line, and must not redefine standard
+% latex commands.
+% - To avoid name clashes with other thorns, 'labels', 'citations',
+% 'references', and 'image' names should conform to the following
+% convention:
+% ARRANGEMENT_THORN_LABEL
+% For example, an image wave.eps in the arrangement CactusWave and
+% thorn WaveToyC should be renamed to CactusWave_WaveToyC_wave.eps
+% - Graphics should only be included using the graphix package.
+% More specifically, with the "includegraphics" command. Do
+% not specify any graphic file extensions in your .tex file. This
+% will allow us (later) to create a PDF version of the ThornGuide
+% via pdflatex. |
+% - References should be included with the latex "bibitem" command.
+% - Use \begin{abstract}...\end{abstract} instead of \abstract{...}
+% - Do not use \appendix, instead include any appendices you need as
+% standard sections.
+% - For the benefit of our Perl scripts, and for future extensions,
+% please use simple latex.
+%
+% *======================================================================*
+%
+% Example of including a graphic image:
+% \begin{figure}[ht]
+% \begin{center}
+% \includegraphics[width=6cm]{MyArrangement_MyThorn_MyFigure}
+% \end{center}
+% \caption{Illustration of this and that}
+% \label{MyArrangement_MyThorn_MyLabel}
+% \end{figure}
+%
+% Example of using a label:
+% \label{MyArrangement_MyThorn_MyLabel}
+%
+% Example of a citation:
+% \cite{MyArrangement_MyThorn_Author99}
+%
+% Example of including a reference
+% \bibitem{MyArrangement_MyThorn_Author99}
+% {J. Author, {\em The Title of the Book, Journal, or periodical}, 1 (1999),
+% 1--16. {\tt http://www.nowhere.com/}}
+%
+% *======================================================================*
+
+% If you are using CVS use this line to give version information
+% $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveFO/doc/documentation.tex,v 1.1 2003/06/18 18:24:29 schnetter Exp $
+
+\documentclass{article}
+
+% Use the Cactus ThornGuide style file
+% (Automatically used from Cactus distribution, if you have a
+% thorn without the Cactus Flesh download this from the Cactus
+% homepage at www.cactuscode.org)
+\usepackage{../../../../doc/latex/cactus}
+
+\begin{document}
+
+% The author of the documentation
+\author{Erik Schnetter \textless schnetter@uni-tuebingen.de\textgreater}
+
+% The title of the document (not necessarily the name of the Thorn)
+\title{}
+
+% the date your document was last changed, if your document is in CVS,
+% please use:
+% \date{$ $Date: 2003/06/18 18:24:29 $ $}
+\date{June 18 2003}
+
+\maketitle
+
+% Do not delete next line
+% START CACTUS THORNGUIDE
+
+% Add all definitions used in this documentation here
+% \def\mydef etc
+
+% Add an abstract for this thorn's documentation
+\begin{abstract}
+
+\end{abstract}
+
+% The following sections are suggestive only.
+% Remove them or add your own.
+
+\section{Introduction}
+
+\section{Physical System}
+
+\section{Numerical Implementation}
+
+\section{Using This Thorn}
+
+\subsection{Obtaining This Thorn}
+
+\subsection{Basic Usage}
+
+\subsection{Special Behaviour}
+
+\subsection{Interaction With Other Thorns}
+
+\subsection{Examples}
+
+\subsection{Support and Feedback}
+
+\section{History}
+
+\subsection{Thorn Source Code}
+
+\subsection{Thorn Documentation}
+
+\subsection{Acknowledgements}
+
+
+\begin{thebibliography}{9}
+
+\end{thebibliography}
+
+% Do not delete next line
+% END CACTUS THORNGUIDE
+
+\end{document}
diff --git a/CarpetExtra/IDScalarWaveFO/interface.ccl b/CarpetExtra/IDScalarWaveFO/interface.ccl
new file mode 100644
index 000000000..065f14ec1
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveFO/interface.ccl
@@ -0,0 +1,6 @@
+# Interface definition for thorn IDScalarWaveFO
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveFO/interface.ccl,v 1.1 2003/06/18 18:24:29 schnetter Exp $
+
+IMPLEMENTS: IDScalarWaveFO
+
+INHERITS: Grid WaveToyFO
diff --git a/CarpetExtra/IDScalarWaveFO/param.ccl b/CarpetExtra/IDScalarWaveFO/param.ccl
new file mode 100644
index 000000000..e6bc7b617
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveFO/param.ccl
@@ -0,0 +1,32 @@
+# Parameter definitions for thorn IDScalarWaveFO
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveFO/param.ccl,v 1.3 2004/05/07 22:51:08 schnetter Exp $
+
+RESTRICTED:
+
+KEYWORD initial_data "Type of initial data"
+{
+ "plane" :: "Plane wave"
+ "noise" :: "Noise"
+} "plane"
+
+PRIVATE:
+
+CCTK_REAL wave_number[3] "Wave number"
+{
+ *:* :: ""
+} 0.0
+
+CCTK_REAL phase_offset[3] "Phase offset"
+{
+ *:* :: ""
+} 0.0
+
+CCTK_REAL time_offset "Time offset"
+{
+ *:* :: ""
+} 0.0
+
+CCTK_REAL amplitude "Wave amplitude"
+{
+ *:* :: ""
+} 1.0
diff --git a/CarpetExtra/IDScalarWaveFO/schedule.ccl b/CarpetExtra/IDScalarWaveFO/schedule.ccl
new file mode 100644
index 000000000..8e615a685
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveFO/schedule.ccl
@@ -0,0 +1,7 @@
+# Schedule definitions for thorn IDScalarWaveFO
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveFO/schedule.ccl,v 1.3 2004/01/11 12:20:39 schnetter Exp $
+
+SCHEDULE IDScalarWaveFO_InitialData AT initial
+{
+ LANG: Fortran
+} "Initial data for the scalar field"
diff --git a/CarpetExtra/IDScalarWaveFO/src/initialdata.F77 b/CarpetExtra/IDScalarWaveFO/src/initialdata.F77
new file mode 100644
index 000000000..e2808d54f
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveFO/src/initialdata.F77
@@ -0,0 +1,61 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveFO/src/initialdata.F77,v 1.5 2004/05/07 22:51:08 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine IDScalarWaveFO_InitialData (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ CCTK_REAL pi
+ parameter (pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117068d0)
+ CCTK_REAL omega
+ integer i, j, k
+
+ if (CCTK_EQUALS(initial_data, "plane")) then
+ omega = sqrt(wave_number(1)**2 + wave_number(2)**2 + wave_number(3)**2)
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+ phi(i,j,k) = amplitude * cos (2*pi *
+ $ ( wave_number(1)*(x(i,j,k)-phase_offset(1))
+ $ + wave_number(2)*(y(i,j,k)-phase_offset(2))
+ $ + wave_number(3)*(z(i,j,k)-phase_offset(3))
+ $ + omega*(cctk_time-time_offset)))
+ psix(i,j,k) = amplitude * wave_number(1) / omega * cos (2*pi *
+ $ ( wave_number(1)*(x(i,j,k)-phase_offset(1))
+ $ + wave_number(2)*(y(i,j,k)-phase_offset(2))
+ $ + wave_number(3)*(z(i,j,k)-phase_offset(3))
+ $ + omega*(cctk_time-time_offset)))
+ psiy(i,j,k) = amplitude * wave_number(2) / omega * cos (2*pi *
+ $ ( wave_number(1)*(x(i,j,k)-phase_offset(1))
+ $ + wave_number(2)*(y(i,j,k)-phase_offset(2))
+ $ + wave_number(3)*(z(i,j,k)-phase_offset(3))
+ $ + omega*(cctk_time-time_offset)))
+ psiz(i,j,k) = amplitude * wave_number(3) / omega * cos (2*pi *
+ $ ( wave_number(1)*(x(i,j,k)-phase_offset(1))
+ $ + wave_number(2)*(y(i,j,k)-phase_offset(2))
+ $ + wave_number(3)*(z(i,j,k)-phase_offset(3))
+ $ + omega*(cctk_time-time_offset)))
+ end do
+ end do
+ end do
+
+ else if (CCTK_EQUALS(initial_data, "noise")) then
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+ call random_number (phi(i,j,k))
+ call random_number (psix(i,j,k))
+ call random_number (psiy(i,j,k))
+ call random_number (psiz(i,j,k))
+ end do
+ end do
+ end do
+
+ end if
+ end
diff --git a/CarpetExtra/IDScalarWaveFO/src/make.code.defn b/CarpetExtra/IDScalarWaveFO/src/make.code.defn
new file mode 100644
index 000000000..472cb8f8d
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveFO/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn IDScalarWaveFO
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveFO/src/make.code.defn,v 1.1 2003/06/18 18:24:29 schnetter Exp $
+
+# Source files in this directory
+SRCS = initialdata.F77
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/CarpetExtra/IDScalarWaveMoL/README b/CarpetExtra/IDScalarWaveMoL/README
new file mode 100644
index 000000000..c42d0163e
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveMoL/README
@@ -0,0 +1,10 @@
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveMoL/README,v 1.1 2003/06/18 18:24:29 schnetter Exp $
+
+Cactus Code Thorn IDScalarWaveMoL
+Thorn Author(s) : Erik Schnetter <schnetter@uni-tuebingen.de>
+Thorn Maintainer(s) : Erik Schnetter <schnetter@uni-tuebingen.de>
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+Create initial data for WaveToyMoL.
diff --git a/CarpetExtra/IDScalarWaveMoL/doc/documentation.tex b/CarpetExtra/IDScalarWaveMoL/doc/documentation.tex
new file mode 100644
index 000000000..22abf5155
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveMoL/doc/documentation.tex
@@ -0,0 +1,144 @@
+% *======================================================================*
+% Cactus Thorn template for ThornGuide documentation
+% Author: Ian Kelley
+% Date: Sun Jun 02, 2002
+% $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveMoL/doc/documentation.tex,v 1.1 2003/06/18 18:24:29 schnetter Exp $
+%
+% Thorn documentation in the latex file doc/documentation.tex
+% will be included in ThornGuides built with the Cactus make system.
+% The scripts employed by the make system automatically include
+% pages about variables, parameters and scheduling parsed from the
+% relevent thorn CCL files.
+%
+% This template contains guidelines which help to assure that your
+% documentation will be correctly added to ThornGuides. More
+% information is available in the Cactus UsersGuide.
+%
+% Guidelines:
+% - Do not change anything before the line
+% % START CACTUS THORNGUIDE",
+% except for filling in the title, author, date etc. fields.
+% - Each of these fields should only be on ONE line.
+% - Author names should be sparated with a \\ or a comma
+% - You can define your own macros, but they must appear after
+% the START CACTUS THORNGUIDE line, and must not redefine standard
+% latex commands.
+% - To avoid name clashes with other thorns, 'labels', 'citations',
+% 'references', and 'image' names should conform to the following
+% convention:
+% ARRANGEMENT_THORN_LABEL
+% For example, an image wave.eps in the arrangement CactusWave and
+% thorn WaveToyC should be renamed to CactusWave_WaveToyC_wave.eps
+% - Graphics should only be included using the graphix package.
+% More specifically, with the "includegraphics" command. Do
+% not specify any graphic file extensions in your .tex file. This
+% will allow us (later) to create a PDF version of the ThornGuide
+% via pdflatex. |
+% - References should be included with the latex "bibitem" command.
+% - Use \begin{abstract}...\end{abstract} instead of \abstract{...}
+% - Do not use \appendix, instead include any appendices you need as
+% standard sections.
+% - For the benefit of our Perl scripts, and for future extensions,
+% please use simple latex.
+%
+% *======================================================================*
+%
+% Example of including a graphic image:
+% \begin{figure}[ht]
+% \begin{center}
+% \includegraphics[width=6cm]{MyArrangement_MyThorn_MyFigure}
+% \end{center}
+% \caption{Illustration of this and that}
+% \label{MyArrangement_MyThorn_MyLabel}
+% \end{figure}
+%
+% Example of using a label:
+% \label{MyArrangement_MyThorn_MyLabel}
+%
+% Example of a citation:
+% \cite{MyArrangement_MyThorn_Author99}
+%
+% Example of including a reference
+% \bibitem{MyArrangement_MyThorn_Author99}
+% {J. Author, {\em The Title of the Book, Journal, or periodical}, 1 (1999),
+% 1--16. {\tt http://www.nowhere.com/}}
+%
+% *======================================================================*
+
+% If you are using CVS use this line to give version information
+% $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveMoL/doc/documentation.tex,v 1.1 2003/06/18 18:24:29 schnetter Exp $
+
+\documentclass{article}
+
+% Use the Cactus ThornGuide style file
+% (Automatically used from Cactus distribution, if you have a
+% thorn without the Cactus Flesh download this from the Cactus
+% homepage at www.cactuscode.org)
+\usepackage{../../../../doc/latex/cactus}
+
+\begin{document}
+
+% The author of the documentation
+\author{Erik Schnetter \textless schnetter@uni-tuebingen.de\textgreater}
+
+% The title of the document (not necessarily the name of the Thorn)
+\title{}
+
+% the date your document was last changed, if your document is in CVS,
+% please use:
+% \date{$ $Date: 2003/06/18 18:24:29 $ $}
+\date{June 07 2003}
+
+\maketitle
+
+% Do not delete next line
+% START CACTUS THORNGUIDE
+
+% Add all definitions used in this documentation here
+% \def\mydef etc
+
+% Add an abstract for this thorn's documentation
+\begin{abstract}
+
+\end{abstract}
+
+% The following sections are suggestive only.
+% Remove them or add your own.
+
+\section{Introduction}
+
+\section{Physical System}
+
+\section{Numerical Implementation}
+
+\section{Using This Thorn}
+
+\subsection{Obtaining This Thorn}
+
+\subsection{Basic Usage}
+
+\subsection{Special Behaviour}
+
+\subsection{Interaction With Other Thorns}
+
+\subsection{Examples}
+
+\subsection{Support and Feedback}
+
+\section{History}
+
+\subsection{Thorn Source Code}
+
+\subsection{Thorn Documentation}
+
+\subsection{Acknowledgements}
+
+
+\begin{thebibliography}{9}
+
+\end{thebibliography}
+
+% Do not delete next line
+% END CACTUS THORNGUIDE
+
+\end{document}
diff --git a/CarpetExtra/IDScalarWaveMoL/interface.ccl b/CarpetExtra/IDScalarWaveMoL/interface.ccl
new file mode 100644
index 000000000..1cef68090
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveMoL/interface.ccl
@@ -0,0 +1,13 @@
+# Interface definition for thorn IDScalarWaveMoL
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveMoL/interface.ccl,v 1.1 2003/06/18 18:24:29 schnetter Exp $
+
+IMPLEMENTS: IDScalarWaveMoL
+
+INHERITS: Grid WaveToyMoL
+
+
+
+CCTK_REAL scalarevolveerror TYPE=gf
+{
+ phierror psierror
+} "Errors of the scalar field"
diff --git a/CarpetExtra/IDScalarWaveMoL/param.ccl b/CarpetExtra/IDScalarWaveMoL/param.ccl
new file mode 100644
index 000000000..b7d933e69
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveMoL/param.ccl
@@ -0,0 +1,50 @@
+# Parameter definitions for thorn IDScalarWaveMoL
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveMoL/param.ccl,v 1.2 2003/08/14 17:22:09 schnetter Exp $
+
+KEYWORD initial_data "Initial data"
+{
+ "plane wave" :: "Plane wave"
+ "Gaussian pulse" :: "Gaussian pulse"
+} "plane wave"
+
+
+
+# Plane wave specification
+
+CCTK_REAL wave_number[3] "Wave number"
+{
+ *:* :: ""
+} 0.0
+
+CCTK_REAL phase_offset[3] "Phase offset"
+{
+ *:* :: ""
+} 0.0
+
+
+
+# Gaussian pulse specification
+
+CCTK_REAL pulse_direction[3] "Pulse width"
+{
+ *:* :: ""
+} 0.0
+
+CCTK_REAL pulse_offset[3] "Pulse offset"
+{
+ *:* :: ""
+} 0.0
+
+
+
+# Generic specifications
+
+CCTK_REAL time_offset "Time offset"
+{
+ *:* :: ""
+} 0.0
+
+CCTK_REAL amplitude "Amplitude"
+{
+ *:* :: ""
+} 1.0
diff --git a/CarpetExtra/IDScalarWaveMoL/schedule.ccl b/CarpetExtra/IDScalarWaveMoL/schedule.ccl
new file mode 100644
index 000000000..4cb14d4d9
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveMoL/schedule.ccl
@@ -0,0 +1,17 @@
+# Schedule definitions for thorn IDScalarWaveMoL
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveMoL/schedule.ccl,v 1.2 2003/11/05 16:18:40 schnetter Exp $
+
+SCHEDULE IDScalarWaveMoL_InitialData AT initial
+{
+ LANG: Fortran
+ STORAGE: WaveToyMoL::scalarevolve[1]
+} "Initial data for the scalar field"
+
+
+
+SCHEDULE IDScalarWaveMoL_Errors AT analysis
+{
+ LANG: Fortran
+ STORAGE: scalarevolveerror WaveToyMoL::scalarevolve[1]
+ TRIGGERS: scalarevolveerror
+} "Calculate errors of the scalar field"
diff --git a/CarpetExtra/IDScalarWaveMoL/src/errors.F77 b/CarpetExtra/IDScalarWaveMoL/src/errors.F77
new file mode 100644
index 000000000..a47394f84
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveMoL/src/errors.F77
@@ -0,0 +1,36 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveMoL/src/errors.F77,v 1.2 2003/11/05 16:18:40 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine IDScalarWaveMoL_Errors (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ CCTK_REAL tmp
+ integer i, j, k
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+ phierror(i,j,k) = phi(i,j,k)
+ psierror(i,j,k) = psi(i,j,k)
+ end do
+ end do
+ end do
+ call IDScalarWaveMol_InitialData (CCTK_PASS_FTOF)
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+ tmp = phi(i,j,k)
+ phi(i,j,k) = phierror(i,j,k)
+ phierror(i,j,k) = phi(i,j,k) - tmp
+ tmp = psi(i,j,k)
+ psi(i,j,k) = psierror(i,j,k)
+ psierror(i,j,k) = psi(i,j,k) - tmp
+ end do
+ end do
+ end do
+ end
diff --git a/CarpetExtra/IDScalarWaveMoL/src/initialdata.F77 b/CarpetExtra/IDScalarWaveMoL/src/initialdata.F77
new file mode 100644
index 000000000..f8385b48a
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveMoL/src/initialdata.F77
@@ -0,0 +1,49 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveMoL/src/initialdata.F77,v 1.3 2003/11/05 16:18:40 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine IDScalarWaveMoL_InitialData (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ CCTK_REAL pi
+ parameter (pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117068d0)
+ CCTK_REAL omega
+ CCTK_REAL tmp
+ integer i, j, k
+ if (CCTK_EQUALS(initial_data, "plane wave")) then
+ omega = sqrt(wave_number(1)**2 + wave_number(2)**2
+ $ + wave_number(3)**2)
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+ tmp = wave_number(1)*(x(i,j,k)-phase_offset(1))
+ $ + wave_number(2)*(y(i,j,k)-phase_offset(2))
+ $ + wave_number(3)*(z(i,j,k)-phase_offset(3))
+ $ + omega*(cctk_time-time_offset)
+ phi(i,j,k) = amplitude * cos (2*pi * tmp)
+ psi(i,j,k) = - amplitude * 2*pi * omega * sin (2*pi * tmp)
+ end do
+ end do
+ end do
+ else if (CCTK_EQUALS(initial_data, "Gaussian pulse")) then
+ omega = sqrt(pulse_direction(1)**2 + pulse_direction(2)**2
+ $ + pulse_direction(3)**2)
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+ tmp = pulse_direction(1)*(x(i,j,k)-pulse_offset(1))
+ $ + pulse_direction(2)*(y(i,j,k)-pulse_offset(2))
+ $ + pulse_direction(3)*(z(i,j,k)-pulse_offset(3))
+ $ + omega*(cctk_time-time_offset)
+ phi(i,j,k) = amplitude * exp (-0.5d0 * tmp**2)
+ psi(i,j,k) = - tmp * omega * phi(i,j,k)
+ end do
+ end do
+ end do
+ end if
+ end
diff --git a/CarpetExtra/IDScalarWaveMoL/src/make.code.defn b/CarpetExtra/IDScalarWaveMoL/src/make.code.defn
new file mode 100644
index 000000000..ae74370dd
--- /dev/null
+++ b/CarpetExtra/IDScalarWaveMoL/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn IDScalarWaveMoL
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDScalarWaveMoL/src/make.code.defn,v 1.1 2003/06/18 18:24:29 schnetter Exp $
+
+# Source files in this directory
+SRCS = errors.F77 initialdata.F77
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/CarpetExtra/IDSpaceTimeToy/README b/CarpetExtra/IDSpaceTimeToy/README
new file mode 100644
index 000000000..28838ffce
--- /dev/null
+++ b/CarpetExtra/IDSpaceTimeToy/README
@@ -0,0 +1,7 @@
+Cactus Code Thorn IDSpaceTimeToy
+Authors : Erik Schnetter <schnetter@uni-tuebingen.de>
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDSpaceTimeToy/README,v 1.2 2001/03/18 22:37:10 eschnett Exp $
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
diff --git a/CarpetExtra/IDSpaceTimeToy/interface.ccl b/CarpetExtra/IDSpaceTimeToy/interface.ccl
new file mode 100644
index 000000000..6e67bea74
--- /dev/null
+++ b/CarpetExtra/IDSpaceTimeToy/interface.ccl
@@ -0,0 +1,5 @@
+# Interface definition for thorn IDSpaceTimeToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDSpaceTimeToy/interface.ccl,v 1.2 2001/03/20 17:27:26 eschnett Exp $
+
+implements: idspacetimetoy
+inherits: spacetimetoy hydrotoy grid
diff --git a/CarpetExtra/IDSpaceTimeToy/param.ccl b/CarpetExtra/IDSpaceTimeToy/param.ccl
new file mode 100644
index 000000000..ac7cea505
--- /dev/null
+++ b/CarpetExtra/IDSpaceTimeToy/param.ccl
@@ -0,0 +1,50 @@
+# Parameter definitions for thorn IDSpaceTimeToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDSpaceTimeToy/param.ccl,v 1.3 2002/03/23 20:21:00 schnetter Exp $
+
+shares: hydrotoy
+
+USES BOOLEAN hydrotoy_active
+
+restricted:
+
+KEYWORD initial_data "Type of initial data"
+{
+ "plane" :: "Plane wave"
+ "gaussian" :: "Gaussian wave"
+ "box" :: "Box wave"
+ "none" :: "No initial data, zero phi"
+} "gaussian"
+
+private:
+
+## Parameter for initial wavepulses
+
+REAL radius "The radius of the gaussian wave"
+{
+ 0:* :: "Positive"
+} 0.0
+
+REAL sigma "The sigma for the gaussian wave"
+{
+ 0:* :: "Positive"
+} 0.1
+
+REAL kx "The wave number in the x-direction"
+{
+ *:* :: "No restriction"
+} 4.0
+
+REAL ky "The wave number in the y-direction"
+{
+ *:* :: "No restriction"
+} 0.0
+
+REAL kz "The wave number in the z-direction"
+{
+ *:* :: "No restriction"
+} 0.0
+
+REAL amplitude "The amplitude of the waves"
+{
+ *:* :: "No restriction"
+} 1.0
diff --git a/CarpetExtra/IDSpaceTimeToy/schedule.ccl b/CarpetExtra/IDSpaceTimeToy/schedule.ccl
new file mode 100644
index 000000000..8a6c9e306
--- /dev/null
+++ b/CarpetExtra/IDSpaceTimeToy/schedule.ccl
@@ -0,0 +1,14 @@
+# Schedule definitions for thorn IDSpaceTimeToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDSpaceTimeToy/schedule.ccl,v 1.5 2003/11/05 16:18:40 schnetter Exp $
+
+schedule IDSpaceTimeToy_Startup at STARTUP
+{
+ LANG: Fortran
+} "Register banner"
+
+schedule IDSpaceTimeToy_InitialData as SpaceTimeToy_InitialData at INITIAL \
+ after IDHydroToy_InitialData
+{
+ LANG: Fortran
+ STORAGE: spacetimetoy::spacetimeevolve[3]
+} "Initial data for 3D wave equation"
diff --git a/CarpetExtra/IDSpaceTimeToy/src/InitialData.F77 b/CarpetExtra/IDSpaceTimeToy/src/InitialData.F77
new file mode 100644
index 000000000..118f0d075
--- /dev/null
+++ b/CarpetExtra/IDSpaceTimeToy/src/InitialData.F77
@@ -0,0 +1,177 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDSpaceTimeToy/src/InitialData.F77,v 1.8 2003/11/05 16:18:40 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine IDSpaceTimeToy_InitialData (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_PARAMETERS
+ DECLARE_CCTK_FUNCTIONS
+
+ CCTK_REAL pi
+ CCTK_REAL omega
+ CCTK_REAL dt
+ CCTK_REAL x,y,z, r
+ integer i,j,k
+
+ pi = 4*atan(1.d0)
+
+ omega = sqrt(kx**2+ky**2+kz**2)
+
+ dt = CCTK_DELTA_TIME
+
+ if (CCTK_EQUALS(initial_data,"plane")) then
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ x = cart3d_x(i,j,k)
+ y = cart3d_y(i,j,k)
+ z = cart3d_z(i,j,k)
+
+ phi(i,j,k) = amplitude
+ $ * cos((kx*x + ky*y + kz*z + omega*cctk_time) * pi)
+ psi(i,j,k) = - amplitude
+ $ * sin((kx*x + ky*y + kz*z + omega*cctk_time) * pi)
+ $ * pi * omega
+
+ phi_p(i,j,k) = amplitude
+ $ * cos((kx*x + ky*y + kz*z + omega*(cctk_time - dt)) * pi)
+ psi_p(i,j,k) = - amplitude
+ $ * sin((kx*x + ky*y + kz*z + omega*(cctk_time - dt)) * pi)
+ $ * pi * omega
+
+ phi_p_p(i,j,k) = amplitude
+ $ * cos((kx*x + ky*y + kz*z + omega*(cctk_time - 2*dt)) * pi)
+ psi_p_p(i,j,k) = - amplitude
+ $ * sin((kx*x + ky*y + kz*z + omega*(cctk_time - 2*dt)) * pi)
+ $ * pi * omega
+
+ end do
+ end do
+ end do
+
+ else if (CCTK_EQUALS(initial_data,"gaussian")) then
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ r = spher3d_r(i,j,k)
+
+ phi(i,j,k) = amplitude / r
+ $ * exp(- (r - radius - cctk_time)**2 / sigma**2)
+ psi(i,j,k) = phi(i,j,k)
+ $ * 2 * (r - radius - cctk_time) / sigma**2
+
+ phi_p(i,j,k) = amplitude / r
+ $ * exp(- (r - radius - (cctk_time - dt))**2 / sigma**2)
+ psi_p(i,j,k) = phi(i,j,k)
+ $ * 2 * (r - radius - (cctk_time - dt)) / sigma**2
+
+ phi_p_p(i,j,k) = amplitude / r
+ $ * exp(- (r - radius - (cctk_time - 2*dt))**2 / sigma**2)
+ psi_p_p(i,j,k) = phi(i,j,k)
+ $ * 2 * (r - radius - (cctk_time - 2*dt)) / sigma**2
+
+ end do
+ end do
+ end do
+
+ else if (CCTK_EQUALS(initial_data, "box")) then
+
+c Use kx,ky,kz as number of modes in each direction.
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ x = cart3d_x(i,j,k)
+ y = cart3d_y(i,j,k)
+ z = cart3d_z(i,j,k)
+
+ phi(i,j,k) = amplitude
+ $ * sin(kx * (x - 0.5d0) * pi)
+ $ * sin(ky * (y - 0.5d0) * pi)
+ $ * sin(kz * (z - 0.5d0) * pi)
+ $ * cos(omega * cctk_time * pi)
+ psi(i,j,k) = - amplitude
+ $ * sin(kx * (x - 0.5d0) * pi)
+ $ * sin(ky * (y - 0.5d0) * pi)
+ $ * sin(kz * (z - 0.5d0) * pi)
+ $ * sin(omega * cctk_time * pi)
+ $ * omega * pi
+
+ phi_p(i,j,k) = amplitude
+ $ * sin(kx * (x - 0.5d0) * pi)
+ $ * sin(ky * (y - 0.5d0) * pi)
+ $ * sin(kz * (z - 0.5d0) * pi)
+ $ * cos(omega * (cctk_time - dt) * pi)
+ psi_p(i,j,k) = - amplitude
+ $ * sin(kx * (x - 0.5d0) * pi)
+ $ * sin(ky * (y - 0.5d0) * pi)
+ $ * sin(kz * (z - 0.5d0) * pi)
+ $ * sin(omega * (cctk_time - dt) * pi)
+ $ * omega * pi
+
+ phi_p_p(i,j,k) = amplitude
+ $ * sin(kx * (x - 0.5d0) * pi)
+ $ * sin(ky * (y - 0.5d0) * pi)
+ $ * sin(kz * (z - 0.5d0) * pi)
+ $ * cos(omega * (cctk_time - 2*dt) * pi)
+ psi_p_p(i,j,k) = - amplitude
+ $ * sin(kx * (x - 0.5d0) * pi)
+ $ * sin(ky * (y - 0.5d0) * pi)
+ $ * sin(kz * (z - 0.5d0) * pi)
+ $ * sin(omega * (cctk_time - 2*dt) * pi)
+ $ * omega * pi
+
+ end do
+ end do
+ end do
+
+ else
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ phi(i,j,k) = 0
+ psi(i,j,k) = 0
+
+ phi_p(i,j,k) = 0
+ psi_p(i,j,k) = 0
+
+ phi_p_p(i,j,k) = 0
+ psi_p_p(i,j,k) = 0
+
+ end do
+ end do
+ end do
+
+ end if
+
+ if (hydrotoy_active.eq.1) then
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ psi(i,j,k) = psi(i,j,k) - u(i,j,k)
+ psi_p(i,j,k) = psi_p(i,j,k) - u_p(i,j,k)
+ psi_p_p(i,j,k) = psi_p_p(i,j,k) - u_p_p(i,j,k)
+
+ end do
+ end do
+ end do
+
+ end if
+
+ end
diff --git a/CarpetExtra/IDSpaceTimeToy/src/Startup.F77 b/CarpetExtra/IDSpaceTimeToy/src/Startup.F77
new file mode 100644
index 000000000..0baf8e999
--- /dev/null
+++ b/CarpetExtra/IDSpaceTimeToy/src/Startup.F77
@@ -0,0 +1,15 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDSpaceTimeToy/src/Startup.F77,v 1.1 2001/03/17 16:05:56 eschnett Exp $
+
+#include "cctk.h"
+
+ subroutine IDSpaceTimeToy_Startup
+
+ implicit none
+
+ integer ierr
+
+ call CCTK_RegisterBanner
+ $ (ierr, "IDSpaceTimeToy: Initial data for two Scalar Fields")
+
+ end
diff --git a/CarpetExtra/IDSpaceTimeToy/src/make.code.defn b/CarpetExtra/IDSpaceTimeToy/src/make.code.defn
new file mode 100644
index 000000000..ca77c58cd
--- /dev/null
+++ b/CarpetExtra/IDSpaceTimeToy/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn IDSpaceTimeToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/IDSpaceTimeToy/src/make.code.defn,v 1.1 2001/03/17 16:05:56 eschnett Exp $
+
+# Source files in this directory
+SRCS = InitialData.F77 Startup.F77
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/CarpetExtra/SpaceTimeToy/README b/CarpetExtra/SpaceTimeToy/README
new file mode 100644
index 000000000..1e9d6b9c3
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/README
@@ -0,0 +1,7 @@
+Cactus Code Thorn SpaceTimeToy
+Authors : Erik Schnetter <schnetter@uni-tuebingen.de>
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/README,v 1.1 2001/03/17 16:05:56 eschnett Exp $
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
diff --git a/CarpetExtra/SpaceTimeToy/configuration.ccl b/CarpetExtra/SpaceTimeToy/configuration.ccl
new file mode 100644
index 000000000..f3fb03c5c
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/configuration.ccl
@@ -0,0 +1,4 @@
+# Configuration definition for thorn Carpet/SpaceTimeToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/configuration.ccl,v 1.2 2004/04/18 14:10:29 schnetter Exp $
+
+REQUIRES Boundary Cart3d
diff --git a/CarpetExtra/SpaceTimeToy/interface.ccl b/CarpetExtra/SpaceTimeToy/interface.ccl
new file mode 100644
index 000000000..1b0eaab8a
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/interface.ccl
@@ -0,0 +1,43 @@
+# Interface definition for thorn SpaceTimeToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/interface.ccl,v 1.8 2004/05/21 17:43:57 schnetter Exp $
+
+implements: spacetimetoy
+inherits: hydrotoy grid
+
+
+
+CCTK_INT FUNCTION Boundary_SelectGroupForBC(CCTK_POINTER_TO_CONST IN GH, \
+ CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, \
+ CCTK_STRING IN group_name, CCTK_STRING IN bc_name)
+REQUIRES FUNCTION Boundary_SelectGroupForBC
+
+
+
+public:
+
+CCTK_REAL spacetimeevolve type=GF timelevels=3
+{
+ phi psi
+} "The evolved spacetime fields"
+
+private:
+
+CCTK_REAL spacetimetemps type=GF
+{
+ phi_i psi_i
+} "Intermediate values for the integrator"
+
+CCTK_REAL hydrotemps type=GF
+{
+ u_i vx_i vy_i vz_i
+} "Intermediate vales for the integrator"
+
+
+
+private:
+
+CCTK_INT icn_state type=SCALAR
+{
+ icn_iteration
+ do_iterate
+} "Current iteration and termination flag for ICN integrator"
diff --git a/CarpetExtra/SpaceTimeToy/par/convtest.gnuplot b/CarpetExtra/SpaceTimeToy/par/convtest.gnuplot
new file mode 100644
index 000000000..a1042c939
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/convtest.gnuplot
@@ -0,0 +1,25 @@
+# initialise
+kx=0.222222222222222
+ky=0.151515151515152
+kz=0.222222222222222
+omega=sqrt(kx**2 + ky**2 + kz**2)
+
+
+
+# without refinement
+
+# solutions
+p "spacetimetoy_periodic/phi.zl" u ($8-1):($1==time&&$3==0?$9:0/0) w lp, "spacetimetoy_periodic_coarse/phi.zl" u (2*($8-1)):(2*$1==time&&$3==0?$9:0/0) w lp, cos((kz*(0.3*x-9) + omega*(0.15*time))*pi) w l
+
+# errors
+p "spacetimetoy_periodic/phi.zl" u ($8-1):($1==time&&$3==0?$9-cos((kz*(0.3*($8-1)-9) + omega*(0.15*time))*pi):0/0) w lp, "spacetimetoy_periodic_coarse/phi.zl" u (2*$8):(2*$1==time&&$3==0?$9-cos((kz*(0.3*(2*($8-1))-9) + omega*(0.15*time))*pi):0/0) w lp
+
+
+
+# with refinement
+
+# solutions
+p "spacetimetoy_periodic_rl2/phi.zl" u ($8-2):($1==time&&$3==0?$9:0/0) w lp, "spacetimetoy_periodic_coarse_rl2/phi.zl" u (2*($8-2)):(2*$1==time&&$3==0?$9:0/0) w lp, cos((kz*(0.15*x-9) + omega*(0.075*time))*pi) w l
+
+# errors
+p "spacetimetoy_periodic_rl2/phi.zl" u ($8-2):($1==time&&$3==0?$9-cos((kz*(0.15*($8-2)-9) + omega*(0.075*time))*pi):0/0) w lp, "spacetimetoy_periodic_coarse_rl2/phi.zl" u (2*($8-2)):(2*$1==time&&$3==0?$9-cos((kz*(0.15*(2*($8-2))-9) + omega*(0.075*time))*pi):0/0) w lp
diff --git a/CarpetExtra/SpaceTimeToy/par/convtest_double.gnuplot b/CarpetExtra/SpaceTimeToy/par/convtest_double.gnuplot
new file mode 100644
index 000000000..660430e24
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/convtest_double.gnuplot
@@ -0,0 +1,36 @@
+# initialise
+kx=0.222222222222222
+ky=0.151515151515152
+kz=0.222222222222222
+omega=sqrt(kx**2 + ky**2 + kz**2)
+
+
+
+# compare to uncoupled systems
+
+# coarse solutions
+p "spacetimetoy_periodic_coarse/phi.zl" u (2*($8-1)):(2*$1==time&&$3==0?$9:0/0) w lp, "hydrotoy_periodic_coarse/u.zl" u (2*($8-1)):(2*$1==time&&$3==0?$9:0/0) w lp, "doubletoy_periodic_coarse/phi.zl" u (2*($8-1)):(2*$1==time&&$3==0?$9:0/0) w lp, "doubletoy_periodic_coarse/u.zl" u (2*($8-1)):(2*$1==time&&$3==0?$9:0/0) w lp, cos((kz*(0.3*x-9) + omega*(0.15*time))*pi) w l
+
+# fine solutions
+p "spacetimetoy_periodic/phi.zl" u ($8-2):($1==time&&$3==0?$9:0/0) w lp, "hydrotoy_periodic/u.zl" u ($8-2):($1==time&&$3==0?$9:0/0) w lp, "doubletoy_periodic/phi.zl" u ($8-2):($1==time&&$3==0?$9:0/0) w lp, "doubletoy_periodic/u.zl" u ($8-2):($1==time&&$3==0?$9:0/0) w lp, cos((kz*(0.3*x-9) + omega*(0.15*time))*pi) w l
+
+
+
+# without refinement
+
+# solutions
+
+p "doubletoy_periodic/phi.zl" u ($8-1):($1==time&&$3==0?$9:0/0) w lp, "doubletoy_periodic_coarse/phi.zl" u (2*($8-1)):(2*$1==time&&$3==0?$9:0/0) w lp, cos((kz*(0.3*x-9) + omega*(0.15*time))*pi) w l
+
+# errors
+p "doubletoy_periodic/phi.zl" u ($8-1):($1==time&&$3==0?$9-cos((kz*(0.3*($8-1)-9) + omega*(0.15*time))*pi):0/0) w lp, "doubletoy_periodic_coarse/phi.zl" u (2*$8):(2*$1==time&&$3==0?$9-cos((kz*(0.3*(2*($8-1))-9) + omega*(0.15*time))*pi):0/0) w lp
+
+
+
+# with refinement
+
+# solutions
+p "doubletoy_periodic_rl2/phi.zl" u ($8-2):($1==time&&$3==0?$9:0/0) w lp, "doubletoy_periodic_coarse_rl2/phi.zl" u (2*($8-2)):(2*$1==time&&$3==0?$9:0/0) w lp, cos((kz*(0.15*x-9) + omega*(0.075*time))*pi) w l
+
+# errors
+p "doubletoy_periodic_rl2/phi.zl" u ($8-2):($1==time&&$3==0?$9-cos((kz*(0.15*($8-2)-9) + omega*(0.075*time))*pi):0/0) w lp, "doubletoy_periodic_coarse_rl2/phi.zl" u (2*($8-2)):(2*$1==time&&$3==0?$9-cos((kz*(0.15*(2*($8-2))-9) + omega*(0.075*time))*pi):0/0) w lp
diff --git a/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic.par b/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic.par
new file mode 100644
index 000000000..7210fc79a
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic.par
@@ -0,0 +1,66 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic.par,v 1.7 2004/03/23 12:00:15 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDSpaceTimeToy SpaceTimeToy IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 120
+
+Time::dtfac = 0.5
+
+driver::global_nx = 34
+driver::global_ny = 48
+driver::global_nz = 64
+
+driver::ghost_size = 2
+
+grid::type = byrange
+grid::xmin = -5.1
+grid::ymin = -6.9
+grid::zmin = -9.3
+grid::xmax = 4.8
+grid::ymax = 7.2
+grid::zmax = 9.6
+grid::mode = periodic
+
+IO::out_dir = "doubletoy_periodic"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve grid::coordinates"
+
+IOFlexIO::out3D_every = 24
+IOFlexIO::out3D_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+SpaceTimeToy::icn_iterations = 2
+SpaceTimeToy::bound = radiation
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDSpaceTimeToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDSpaceTimeToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic_coarse.par b/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic_coarse.par
new file mode 100644
index 000000000..2985234ef
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic_coarse.par
@@ -0,0 +1,66 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic_coarse.par,v 1.7 2004/03/23 12:00:15 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDSpaceTimeToy SpaceTimeToy IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 60
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "doubletoy_periodic_coarse"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve grid::coordinates"
+
+IOFlexIO::out3D_every = 12
+IOFlexIO::out3D_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+SpaceTimeToy::icn_iterations = 2
+SpaceTimeToy::bound = radiation
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDSpaceTimeToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDSpaceTimeToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic_coarse_rl2.par b/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic_coarse_rl2.par
new file mode 100644
index 000000000..55534b4a5
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic_coarse_rl2.par
@@ -0,0 +1,72 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic_coarse_rl2.par,v 1.8 2004/03/23 12:00:15 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDSpaceTimeToy SpaceTimeToy IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 120
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 2
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "doubletoy_periodic_coarse_rl2"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve grid::coordinates"
+
+IOFlexIO::out3D_every = 24
+IOFlexIO::out3D_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+SpaceTimeToy::icn_iterations = 2
+SpaceTimeToy::bound = radiation
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDSpaceTimeToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDSpaceTimeToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic_coarse_rl3.par b/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic_coarse_rl3.par
new file mode 100644
index 000000000..2b7442bce
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic_coarse_rl3.par
@@ -0,0 +1,72 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic_coarse_rl3.par,v 1.8 2004/03/23 12:00:15 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDSpaceTimeToy SpaceTimeToy IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 240
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 3
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "doubletoy_periodic_coarse_rl3"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve grid::coordinates"
+
+IOFlexIO::out3D_every = 48
+IOFlexIO::out3D_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+SpaceTimeToy::icn_iterations = 2
+SpaceTimeToy::bound = radiation
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDSpaceTimeToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDSpaceTimeToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic_rl2.par b/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic_rl2.par
new file mode 100644
index 000000000..2611c62c4
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic_rl2.par
@@ -0,0 +1,72 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic_rl2.par,v 1.8 2004/03/23 12:00:15 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDSpaceTimeToy SpaceTimeToy IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 240
+
+Time::dtfac = 0.5
+
+driver::global_nx = 34
+driver::global_ny = 48
+driver::global_nz = 64
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 2
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -5.1
+grid::ymin = -6.9
+grid::zmin = -9.3
+grid::xmax = 4.8
+grid::ymax = 7.2
+grid::zmax = 9.6
+grid::mode = periodic
+
+IO::out_dir = "doubletoy_periodic_rl2"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve grid::coordinates"
+
+IOFlexIO::out3D_every = 48
+IOFlexIO::out3D_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+SpaceTimeToy::icn_iterations = 2
+SpaceTimeToy::bound = radiation
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDSpaceTimeToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDSpaceTimeToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic_rl3.par b/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic_rl3.par
new file mode 100644
index 000000000..5cbcc1290
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic_rl3.par
@@ -0,0 +1,72 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/doubletoy_periodic_rl3.par,v 1.8 2004/03/23 12:00:15 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDSpaceTimeToy SpaceTimeToy IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 480
+
+Time::dtfac = 0.5
+
+driver::global_nx = 34
+driver::global_ny = 48
+driver::global_nz = 64
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 3
+
+grid::type = byrange
+grid::xmin = -5.1
+grid::ymin = -6.9
+grid::zmin = -9.3
+grid::xmax = 4.8
+grid::ymax = 7.2
+grid::zmax = 9.6
+grid::mode = periodic
+
+IO::out_dir = "doubletoy_periodic_rl3"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve grid::coordinates"
+
+IOFlexIO::out3D_every = 96
+IOFlexIO::out3D_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+SpaceTimeToy::icn_iterations = 2
+SpaceTimeToy::bound = radiation
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDSpaceTimeToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDSpaceTimeToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic.gnu b/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic.gnu
new file mode 100644
index 000000000..b78bdf751
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic.gnu
@@ -0,0 +1,30 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic.gnu,v 1.1 2003/06/18 18:24:29 schnetter Exp $
+
+set grid
+set style data linespoints
+
+kx=0.222222222222222
+ky=0.151515151515152
+kz=0.222222222222222
+omega=sqrt(kx**2+ky**2+kz**2)
+dt=0.3
+phi(x)=cos(pi*(kx*x+omega*dt*t))
+psi(x)=-pi*omega*sin(pi*(kx*x+omega*dt*t))
+
+t=0
+
+
+
+# unigrid function
+p [-4.5:4.5] "spacetimetoy_periodic_coarse/phi.xl" i t u 10:13, "spacetimetoy_periodic/phi.xl" i 2*t u 10:13, "spacetimetoy_periodic_fine/phi.xl" i 4*t u 10:13, phi(x)
+
+# unigrid error
+p [-4.5:4.5] "spacetimetoy_periodic_coarse/phi.xl" i t u 10:($13-phi($10)), "spacetimetoy_periodic/phi.xl" i 2*t u 10:(4*($13-phi($10))), "spacetimetoy_periodic_fine/phi.xl" i 4*t u 10:(16*($13-phi($10)))
+
+
+
+# refinement function
+p [-4.5:4.5] "spacetimetoy_periodic_coarse_rl2/phi.xl" i 3*t u 10:13, "spacetimetoy_periodic_rl2/phi.xl" i 6*t u 10:13, "spacetimetoy_periodic_fine_rl2/phi.xl" i 12*t u 10:13, phi(x)
+
+# refinement error
+p [-4.5:4.5] "spacetimetoy_periodic_coarse_rl2/phi.xl" i 3*t u 10:($13-phi($10)), "spacetimetoy_periodic_rl2/phi.xl" i 6*t u 10:(4*($13-phi($10))), "spacetimetoy_periodic_fine_rl2/phi.xl" i 12*t u 10:(16*($13-phi($10)))
diff --git a/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic.par b/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic.par
new file mode 100644
index 000000000..6f157a979
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic.par
@@ -0,0 +1,61 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic.par,v 1.9 2004/03/23 12:00:15 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDSpaceTimeToy SpaceTimeToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+#Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 120
+
+Time::dtfac = 0.5
+
+driver::global_nx = 34
+driver::global_ny = 48
+driver::global_nz = 64
+
+driver::ghost_size = 2
+
+grid::type = byrange
+grid::xmin = -5.1
+grid::ymin = -6.9
+grid::zmin = -9.3
+grid::xmax = 4.8
+grid::ymax = 7.2
+grid::zmax = 9.6
+grid::mode = periodic
+
+IO::out_dir = "spacetimetoy_periodic"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "spacetimetoy::spacetimeevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "spacetimetoy::spacetimeevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "spacetimetoy::spacetimeevolve grid::coordinates"
+
+#IOFlexIO::out3D_every = 24
+#IOFlexIO::out3D_vars = "spacetimetoy::spacetimeevolve"
+#IOFlexIO::out3D_format = IEEE
+#IOFlexIO::out3D_extension = ".vcamr"
+
+SpaceTimeToy::icn_iterations = 2
+SpaceTimeToy::bound = radiation
+
+HydroToy::hydrotoy_active = no
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDSpaceTimeToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDSpaceTimeToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_coarse.par b/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_coarse.par
new file mode 100644
index 000000000..ca078c0d4
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_coarse.par
@@ -0,0 +1,61 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_coarse.par,v 1.11 2004/03/23 12:00:15 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDSpaceTimeToy SpaceTimeToy Hydrotoy"
+
+Carpet::poison_new_timelevels = yes
+#Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 60
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "spacetimetoy_periodic_coarse"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "spacetimetoy::spacetimeevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "spacetimetoy::spacetimeevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "spacetimetoy::spacetimeevolve grid::coordinates"
+
+#IOFlexIO::out3D_every = 12
+#IOFlexIO::out3D_vars = "spacetimetoy::spacetimeevolve"
+#IOFlexIO::out3D_format = IEEE
+#IOFlexIO::out3D_extension = ".vcamr"
+
+SpaceTimeToy::icn_iterations = 2
+SpaceTimeToy::bound = radiation
+
+HydroToy::hydrotoy_active = no
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDSpaceTimeToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDSpaceTimeToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_coarse_rl2.par b/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_coarse_rl2.par
new file mode 100644
index 000000000..c76217944
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_coarse_rl2.par
@@ -0,0 +1,67 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_coarse_rl2.par,v 1.11 2004/03/23 12:00:15 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDSpaceTimeToy SpaceTimeToy Hydrotoy"
+
+Carpet::poison_new_timelevels = yes
+#Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 120
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 2
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "spacetimetoy_periodic_coarse_rl2"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "spacetimetoy::spacetimeevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "spacetimetoy::spacetimeevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "spacetimetoy::spacetimeevolve grid::coordinates"
+
+#IOFlexIO::out3D_every = 24
+#IOFlexIO::out3D_vars = "spacetimetoy::spacetimeevolve"
+#IOFlexIO::out3D_format = IEEE
+#IOFlexIO::out3D_extension = ".vcamr"
+
+SpaceTimeToy::icn_iterations = 2
+SpaceTimeToy::bound = radiation
+
+HydroToy::hydrotoy_active = no
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDSpaceTimeToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDSpaceTimeToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_coarse_rl3.par b/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_coarse_rl3.par
new file mode 100644
index 000000000..0b155bece
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_coarse_rl3.par
@@ -0,0 +1,67 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_coarse_rl3.par,v 1.12 2004/03/23 12:00:15 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDSpaceTimeToy SpaceTimeToy Hydrotoy"
+
+Carpet::poison_new_timelevels = yes
+#Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 240
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 3
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "spacetimetoy_periodic_coarse_rl3"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "spacetimetoy::spacetimeevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "spacetimetoy::spacetimeevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "spacetimetoy::spacetimeevolve grid::coordinates"
+
+#IOFlexIO::out3D_every = 48
+#IOFlexIO::out3D_vars = "spacetimetoy::spacetimeevolve"
+#IOFlexIO::out3D_format = IEEE
+#IOFlexIO::out3D_extension = ".vcamr"
+
+SpaceTimeToy::icn_iterations = 2
+SpaceTimeToy::bound = radiation
+
+HydroToy::hydrotoy_active = no
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDSpaceTimeToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDSpaceTimeToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_fine.par b/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_fine.par
new file mode 100644
index 000000000..9bd3fb198
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_fine.par
@@ -0,0 +1,61 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_fine.par,v 1.2 2004/03/23 12:00:15 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDSpaceTimeToy SpaceTimeToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+#Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 240
+
+Time::dtfac = 0.5
+
+driver::global_nx = 64
+driver::global_ny = 92
+driver::global_nz = 124
+
+driver::ghost_size = 2
+
+grid::type = byrange
+grid::xmin = -4.95
+grid::ymin = -6.75
+grid::zmin = -9.15
+grid::xmax = 4.5
+grid::ymax = 6.9
+grid::zmax = 9.3
+grid::mode = periodic
+
+IO::out_dir = "spacetimetoy_periodic_fine"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "spacetimetoy::spacetimeevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "spacetimetoy::spacetimeevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "spacetimetoy::spacetimeevolve grid::coordinates"
+
+#IOFlexIO::out3D_every = 48
+#IOFlexIO::out3D_vars = "spacetimetoy::spacetimeevolve"
+#IOFlexIO::out3D_format = IEEE
+#IOFlexIO::out3D_extension = ".vcamr"
+
+SpaceTimeToy::icn_iterations = 2
+SpaceTimeToy::bound = radiation
+
+HydroToy::hydrotoy_active = no
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDSpaceTimeToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDSpaceTimeToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_fine_rl2.par b/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_fine_rl2.par
new file mode 100644
index 000000000..ca19dbbcc
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_fine_rl2.par
@@ -0,0 +1,67 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_fine_rl2.par,v 1.2 2004/03/23 12:00:15 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDSpaceTimeToy SpaceTimeToy Hydrotoy"
+
+#Carpet::poison_new_timelevels = yes
+##Carpet::check_for_poison = yes
+#Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 480
+
+Time::dtfac = 0.5
+
+driver::global_nx = 64
+driver::global_ny = 92
+driver::global_nz = 124
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 2
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -4.95
+grid::ymin = -6.75
+grid::zmin = -9.15
+grid::xmax = 4.5
+grid::ymax = 6.9
+grid::zmax = 9.3
+grid::mode = periodic
+
+IO::out_dir = "spacetimetoy_periodic_fine_rl2"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "spacetimetoy::spacetimeevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "spacetimetoy::spacetimeevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "spacetimetoy::spacetimeevolve grid::coordinates"
+
+#IOFlexIO::out3D_every = 96
+#IOFlexIO::out3D_vars = "spacetimetoy::spacetimeevolve"
+#IOFlexIO::out3D_format = IEEE
+#IOFlexIO::out3D_extension = ".vcamr"
+
+SpaceTimeToy::icn_iterations = 2
+SpaceTimeToy::bound = radiation
+
+HydroToy::hydrotoy_active = no
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDSpaceTimeToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDSpaceTimeToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_rl2.par b/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_rl2.par
new file mode 100644
index 000000000..8e4c45437
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_rl2.par
@@ -0,0 +1,67 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_rl2.par,v 1.11 2004/03/23 12:00:15 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDSpaceTimeToy SpaceTimeToy Hydrotoy"
+
+Carpet::poison_new_timelevels = yes
+#Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 240
+
+Time::dtfac = 0.5
+
+driver::global_nx = 34
+driver::global_ny = 48
+driver::global_nz = 64
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 2
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -5.1
+grid::ymin = -6.9
+grid::zmin = -9.3
+grid::xmax = 4.8
+grid::ymax = 7.2
+grid::zmax = 9.6
+grid::mode = periodic
+
+IO::out_dir = "spacetimetoy_periodic_rl2"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "spacetimetoy::spacetimeevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "spacetimetoy::spacetimeevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "spacetimetoy::spacetimeevolve grid::coordinates"
+
+#IOFlexIO::out3D_every = 48
+#IOFlexIO::out3D_vars = "spacetimetoy::spacetimeevolve"
+#IOFlexIO::out3D_format = IEEE
+#IOFlexIO::out3D_extension = ".vcamr"
+
+SpaceTimeToy::icn_iterations = 2
+SpaceTimeToy::bound = radiation
+
+HydroToy::hydrotoy_active = no
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDSpaceTimeToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDSpaceTimeToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_rl3.par b/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_rl3.par
new file mode 100644
index 000000000..54c264ed8
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_rl3.par
@@ -0,0 +1,67 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/spacetimetoy_periodic_rl3.par,v 1.10 2004/03/23 12:00:15 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetIOFlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDSpaceTimeToy SpaceTimeToy Hydrotoy"
+
+Carpet::poison_new_timelevels = yes
+#Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 480
+
+Time::dtfac = 0.5
+
+driver::global_nx = 34
+driver::global_ny = 48
+driver::global_nz = 64
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 3
+
+grid::type = byrange
+grid::xmin = -5.1
+grid::ymin = -6.9
+grid::zmin = -9.3
+grid::xmax = 4.8
+grid::ymax = 7.2
+grid::zmax = 9.6
+grid::mode = periodic
+
+IO::out_dir = "spacetimetoy_periodic_rl3"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "spacetimetoy::spacetimeevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "spacetimetoy::spacetimeevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "spacetimetoy::spacetimeevolve grid::coordinates"
+
+#IOFlexIO::out3D_every = 96
+#IOFlexIO::out3D_vars = "spacetimetoy::spacetimeevolve"
+#IOFlexIO::out3D_format = IEEE
+#IOFlexIO::out3D_extension = ".vcamr"
+
+SpaceTimeToy::icn_iterations = 2
+SpaceTimeToy::bound = radiation
+
+HydroToy::hydrotoy_active = no
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDSpaceTimeToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDSpaceTimeToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/SpaceTimeToy/par/st1d.gnu b/CarpetExtra/SpaceTimeToy/par/st1d.gnu
new file mode 100644
index 000000000..1c7eee34b
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/st1d.gnu
@@ -0,0 +1,31 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/st1d.gnu,v 1.2 2003/06/30 17:28:51 schnetter Exp $
+
+set grid
+
+dt=0.05
+f(x)=cos(2*pi*(x+t*dt))
+
+t=200
+
+
+p [0:1] "st1d_1l_0020/phi.xl" i t u 10:13 w l, "st1d_1l_0040/phi.xl" i t u 10:13 w l, "st1d_1l_0080/phi.xl" i t u 10:13 w l, f(x)
+
+p [0:1] "st1d_1l_0020/phi.xl" i t u 10:($13-f($10)) w l, "st1d_1l_0040/phi.xl" i t u 10:(4*($13-f($10))) w l, "st1d_1l_0080/phi.xl" i t u 10:(16*($13-f($10))) w l
+
+
+
+p [0:1] "st1d_2l_0020/phi.xl" i 2*t u 10:13 w l, "st1d_2l_0040/phi.xl" i 2*t u 10:13 w l, "st1d_2l_0080/phi.xl" i 2*t u 10:13 w l, "st1d_2l_0160/phi.xl" i 2*t u 10:13 w l, "st1d_2l_0320/phi.xl" i 2*t u 10:13 w l, f(x)
+
+p [0:1] "st1d_2l_0020/phi.xl" i 2*t u 10:($13-f($10)) w l, "st1d_2l_0040/phi.xl" i 2*t u 10:(4*($13-f($10))) w l, "st1d_2l_0080/phi.xl" i 2*t u 10:(16*($13-f($10))) w l, "st1d_2l_0160/phi.xl" i 2*t u 10:(64*($13-f($10))) w l, "st1d_2l_0320/phi.xl" i 2*t u 10:(256*($13-f($10))) w l
+
+
+
+set grid
+
+dt=0.05
+
+p [0:1] "st1d_1l_0020/phi.xl" i t u 10:13 w l, "st1d_1l_0040/phi.xl" i t u 10:13 w l, "st1d_1l_0080/phi.xl" i t u 10:13 w l, cos (2*pi*(x+dt*t))
+p [0:1] "st1d_2l_0020/phi.xl" i 2*t u 10:13 w l, "st1d_2l_0040/phi.xl" i 2*t u 10:13 w l, "st1d_2l_0080/phi.xl" i 2*t u 10:13 w l, "st1d_2l_0160/phi.xl" i 2*t u 10:13 w l, "st1d_2l_0320/phi.xl" i 2*t u 10:13 w l, cos (2*pi*(x+dt*t))
+
+p [0:1] "st1d_1l_0020/phi.xl" i t u 10:($13-cos(2*pi*($10+dt*t))) w l, "st1d_1l_0040/phi.xl" i t u 10:(4*($13-cos(2*pi*($10+dt*t)))) w l, "st1d_1l_0080/phi.xl" i t u 10:(16*($13-cos(2*pi*($10+dt*t)))) w l
+p [0:1] "st1d_2l_0020/phi.xl" i 2*t u 10:($13-cos(2*pi*($10+dt*t))) w l, "st1d_2l_0040/phi.xl" i 2*t u 10:(4*($13-cos(2*pi*($10+dt*t)))) w l, "st1d_2l_0080/phi.xl" i 2*t u 10:(16*($13-cos(2*pi*($10+dt*t)))) w l, "st1d_2l_0160/phi.xl" i 2*t u 10:(64*($13-cos(2*pi*($10+dt*t)))) w l, "st1d_2l_0320/phi.xl" i 2*t u 10:(256*($13-cos(2*pi*($10+dt*t)))) w l
diff --git a/CarpetExtra/SpaceTimeToy/par/st1d_1l_0020.par b/CarpetExtra/SpaceTimeToy/par/st1d_1l_0020.par
new file mode 100644
index 000000000..96da55975
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/st1d_1l_0020.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/st1d_1l_0020.par,v 1.2 2004/03/23 12:00:15 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 3200
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 32
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 24
+driver::global_ny = 7
+driver::global_nz = 7
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 1
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([28,6,6]:[68,16,16]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary Cart3d"
+
+grid::mode = periodic
+grid::type = byrange
+grid::xmin = -0.1
+grid::ymin = -0.15
+grid::zmin = -0.15
+grid::xmax = +1.05
+grid::ymax = +0.15
+grid::zmax = +0.15
+
+
+
+ActiveThorns = "Time"
+
+Time::dtfac = 0.25
+
+
+
+ActiveThorns = "IDSpaceTimeToy SpaceTimeToy HydroToy"
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 2.0
+IDSpaceTimeToy::ky = 0.0
+IDSpaceTimeToy::kz = 0.0
+
+SpaceTimeToy::icn_iterations = 2
+
+HydroToy::hydrotoy_active = no
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "SpaceTimeToy::spacetimeevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "st1d_1l_0020"
+
+IOBasic::outInfo_every = 16
+IOBasic::outInfo_vars = "SpaceTimeToy::phi"
+
+IOBasic::outScalar_every = 16
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "SpacetimeToy::spacetimeevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 16
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "SpacetimeToy::spacetimeevolve"
+
+#IOASCII::out3D_every = 16
+#IOASCII::out3D_vars = "SpacetimeToy::spacetimeevolve"
diff --git a/CarpetExtra/SpaceTimeToy/par/st1d_1l_0040.par b/CarpetExtra/SpaceTimeToy/par/st1d_1l_0040.par
new file mode 100644
index 000000000..ca8d2fa85
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/st1d_1l_0040.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/st1d_1l_0040.par,v 1.2 2004/03/23 12:00:15 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 6400
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 64
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 44
+driver::global_ny = 7
+driver::global_nz = 7
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 1
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([48,6,6]:[128,16,16]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary Cart3d"
+
+grid::mode = periodic
+grid::type = byrange
+grid::xmin = -0.05
+grid::ymin = -0.075
+grid::zmin = -0.075
+grid::xmax = +1.025
+grid::ymax = +0.075
+grid::zmax = +0.075
+
+
+
+ActiveThorns = "Time"
+
+Time::dtfac = 0.25
+
+
+
+ActiveThorns = "IDSpaceTimeToy SpaceTimeToy HydroToy"
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 2.0
+IDSpaceTimeToy::ky = 0.0
+IDSpaceTimeToy::kz = 0.0
+
+SpaceTimeToy::icn_iterations = 2
+
+HydroToy::hydrotoy_active = no
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "SpaceTimeToy::spacetimeevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "st1d_1l_0040"
+
+IOBasic::outInfo_every = 32
+IOBasic::outInfo_vars = "SpaceTimeToy::phi"
+
+IOBasic::outScalar_every = 32
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "SpacetimeToy::spacetimeevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 32
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "SpacetimeToy::spacetimeevolve"
+
+#IOASCII::out3D_every = 32
+#IOASCII::out3D_vars = "SpacetimeToy::spacetimeevolve"
diff --git a/CarpetExtra/SpaceTimeToy/par/st1d_1l_0080.par b/CarpetExtra/SpaceTimeToy/par/st1d_1l_0080.par
new file mode 100644
index 000000000..a2535989b
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/st1d_1l_0080.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/st1d_1l_0080.par,v 1.2 2004/03/23 12:00:15 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 12800
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 128
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 84
+driver::global_ny = 7
+driver::global_nz = 7
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 1
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([88,6,6]:[248,16,16]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary Cart3d"
+
+grid::mode = periodic
+grid::type = byrange
+grid::xmin = -0.025
+grid::ymin = -0.0375
+grid::zmin = -0.0375
+grid::xmax = +1.0125
+grid::ymax = +0.0375
+grid::zmax = +0.0375
+
+
+
+ActiveThorns = "Time"
+
+Time::dtfac = 0.25
+
+
+
+ActiveThorns = "IDSpaceTimeToy SpaceTimeToy HydroToy"
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 2.0
+IDSpaceTimeToy::ky = 0.0
+IDSpaceTimeToy::kz = 0.0
+
+SpaceTimeToy::icn_iterations = 2
+
+HydroToy::hydrotoy_active = no
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "SpaceTimeToy::spacetimeevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "st1d_1l_0080"
+
+IOBasic::outInfo_every = 64
+IOBasic::outInfo_vars = "SpaceTimeToy::phi"
+
+IOBasic::outScalar_every = 64
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "SpacetimeToy::spacetimeevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 64
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "SpacetimeToy::spacetimeevolve"
+
+#IOASCII::out3D_every = 64
+#IOASCII::out3D_vars = "SpacetimeToy::spacetimeevolve"
diff --git a/CarpetExtra/SpaceTimeToy/par/st1d_2l_0020.par b/CarpetExtra/SpaceTimeToy/par/st1d_2l_0020.par
new file mode 100644
index 000000000..0d4263611
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/st1d_2l_0020.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/st1d_2l_0020.par,v 1.2 2004/03/23 12:00:15 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 3200
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 32
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 24
+driver::global_ny = 7
+driver::global_nz = 7
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([28,6,6]:[68,16,16]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary Cart3d"
+
+grid::mode = periodic
+grid::type = byrange
+grid::xmin = -0.1
+grid::ymin = -0.15
+grid::zmin = -0.15
+grid::xmax = +1.05
+grid::ymax = +0.15
+grid::zmax = +0.15
+
+
+
+ActiveThorns = "Time"
+
+Time::dtfac = 0.25
+
+
+
+ActiveThorns = "IDSpaceTimeToy SpaceTimeToy HydroToy"
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 2.0
+IDSpaceTimeToy::ky = 0.0
+IDSpaceTimeToy::kz = 0.0
+
+SpaceTimeToy::icn_iterations = 2
+
+HydroToy::hydrotoy_active = no
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "SpaceTimeToy::spacetimeevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "st1d_2l_0020"
+
+IOBasic::outInfo_every = 16
+IOBasic::outInfo_vars = "SpaceTimeToy::phi"
+
+IOBasic::outScalar_every = 16
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "SpacetimeToy::spacetimeevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 16
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "SpacetimeToy::spacetimeevolve"
+
+#IOASCII::out3D_every = 16
+#IOASCII::out3D_vars = "SpacetimeToy::spacetimeevolve"
diff --git a/CarpetExtra/SpaceTimeToy/par/st1d_2l_0040.par b/CarpetExtra/SpaceTimeToy/par/st1d_2l_0040.par
new file mode 100644
index 000000000..90261f6aa
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/st1d_2l_0040.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/st1d_2l_0040.par,v 1.2 2004/03/23 12:00:15 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 6400
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 64
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 44
+driver::global_ny = 7
+driver::global_nz = 7
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([48,6,6]:[128,16,16]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary Cart3d"
+
+grid::mode = periodic
+grid::type = byrange
+grid::xmin = -0.05
+grid::ymin = -0.075
+grid::zmin = -0.075
+grid::xmax = +1.025
+grid::ymax = +0.075
+grid::zmax = +0.075
+
+
+
+ActiveThorns = "Time"
+
+Time::dtfac = 0.25
+
+
+
+ActiveThorns = "IDSpaceTimeToy SpaceTimeToy HydroToy"
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 2.0
+IDSpaceTimeToy::ky = 0.0
+IDSpaceTimeToy::kz = 0.0
+
+SpaceTimeToy::icn_iterations = 2
+
+HydroToy::hydrotoy_active = no
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "SpaceTimeToy::spacetimeevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "st1d_2l_0040"
+
+IOBasic::outInfo_every = 32
+IOBasic::outInfo_vars = "SpaceTimeToy::phi"
+
+IOBasic::outScalar_every = 32
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "SpacetimeToy::spacetimeevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 32
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "SpacetimeToy::spacetimeevolve"
+
+#IOASCII::out3D_every = 32
+#IOASCII::out3D_vars = "SpacetimeToy::spacetimeevolve"
diff --git a/CarpetExtra/SpaceTimeToy/par/st1d_2l_0080.par b/CarpetExtra/SpaceTimeToy/par/st1d_2l_0080.par
new file mode 100644
index 000000000..ab4ff726c
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/st1d_2l_0080.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/st1d_2l_0080.par,v 1.2 2004/03/23 12:00:15 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 12800
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 128
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 84
+driver::global_ny = 7
+driver::global_nz = 7
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([88,6,6]:[248,16,16]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary Cart3d"
+
+grid::mode = periodic
+grid::type = byrange
+grid::xmin = -0.025
+grid::ymin = -0.0375
+grid::zmin = -0.0375
+grid::xmax = +1.0125
+grid::ymax = +0.0375
+grid::zmax = +0.0375
+
+
+
+ActiveThorns = "Time"
+
+Time::dtfac = 0.25
+
+
+
+ActiveThorns = "IDSpaceTimeToy SpaceTimeToy HydroToy"
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 2.0
+IDSpaceTimeToy::ky = 0.0
+IDSpaceTimeToy::kz = 0.0
+
+SpaceTimeToy::icn_iterations = 2
+
+HydroToy::hydrotoy_active = no
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "SpaceTimeToy::spacetimeevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "st1d_2l_0080"
+
+IOBasic::outInfo_every = 64
+IOBasic::outInfo_vars = "SpaceTimeToy::phi"
+
+IOBasic::outScalar_every = 64
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "SpacetimeToy::spacetimeevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 64
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "SpacetimeToy::spacetimeevolve"
+
+#IOASCII::out3D_every = 64
+#IOASCII::out3D_vars = "SpacetimeToy::spacetimeevolve"
diff --git a/CarpetExtra/SpaceTimeToy/par/st1d_2l_0160.par b/CarpetExtra/SpaceTimeToy/par/st1d_2l_0160.par
new file mode 100644
index 000000000..cb222029e
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/st1d_2l_0160.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/st1d_2l_0160.par,v 1.2 2004/03/23 12:00:15 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 25600
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 256
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 164
+driver::global_ny = 7
+driver::global_nz = 7
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([168,6,6]:[488,16,16]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary Cart3d"
+
+grid::mode = periodic
+grid::type = byrange
+grid::xmin = -0.0125
+grid::ymin = -0.01875
+grid::zmin = -0.01875
+grid::xmax = +1.00625
+grid::ymax = +0.01875
+grid::zmax = +0.01875
+
+
+
+ActiveThorns = "Time"
+
+Time::dtfac = 0.25
+
+
+
+ActiveThorns = "IDSpaceTimeToy SpaceTimeToy HydroToy"
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 2.0
+IDSpaceTimeToy::ky = 0.0
+IDSpaceTimeToy::kz = 0.0
+
+SpaceTimeToy::icn_iterations = 2
+
+HydroToy::hydrotoy_active = no
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "SpaceTimeToy::spacetimeevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "st1d_2l_0160"
+
+IOBasic::outInfo_every = 128
+IOBasic::outInfo_vars = "SpaceTimeToy::phi"
+
+IOBasic::outScalar_every = 128
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "SpacetimeToy::spacetimeevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 128
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "SpacetimeToy::spacetimeevolve"
+
+#IOASCII::out3D_every = 128
+#IOASCII::out3D_vars = "SpacetimeToy::spacetimeevolve"
diff --git a/CarpetExtra/SpaceTimeToy/par/st1d_2l_0320.par b/CarpetExtra/SpaceTimeToy/par/st1d_2l_0320.par
new file mode 100644
index 000000000..054046275
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/par/st1d_2l_0320.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/par/st1d_2l_0320.par,v 1.2 2004/03/23 12:00:15 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 51200
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 512
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 324
+driver::global_ny = 7
+driver::global_nz = 7
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([328,6,6]:[968,16,16]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary Cart3d"
+
+grid::mode = periodic
+grid::type = byrange
+grid::xmin = -0.00625
+grid::ymin = -0.009375
+grid::zmin = -0.009375
+grid::xmax = +1.003125
+grid::ymax = +0.009375
+grid::zmax = +0.009375
+
+
+
+ActiveThorns = "Time"
+
+Time::dtfac = 0.25
+
+
+
+ActiveThorns = "IDSpaceTimeToy SpaceTimeToy HydroToy"
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 2.0
+IDSpaceTimeToy::ky = 0.0
+IDSpaceTimeToy::kz = 0.0
+
+SpaceTimeToy::icn_iterations = 2
+
+HydroToy::hydrotoy_active = no
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "SpaceTimeToy::spacetimeevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "st1d_2l_0320"
+
+IOBasic::outInfo_every = 256
+IOBasic::outInfo_vars = "SpaceTimeToy::phi"
+
+IOBasic::outScalar_every = 256
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "SpacetimeToy::spacetimeevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 256
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "SpacetimeToy::spacetimeevolve"
+
+#IOASCII::out3D_every = 256
+#IOASCII::out3D_vars = "SpacetimeToy::spacetimeevolve"
diff --git a/CarpetExtra/SpaceTimeToy/param.ccl b/CarpetExtra/SpaceTimeToy/param.ccl
new file mode 100644
index 000000000..d129baa51
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/param.ccl
@@ -0,0 +1,18 @@
+# Parameter definitions for thorn SpaceTimeToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/param.ccl,v 1.4 2003/06/18 18:24:29 schnetter Exp $
+
+shares: hydrotoy
+
+USES BOOLEAN hydrotoy_active
+
+private:
+
+STRING bound "Type of boundary condition to use"
+{
+ ".*" :: "Must be a registered boundary condition"
+} "Static"
+
+CCTK_INT icn_iterations "Number of ICN iterations to take after the initial Euler step"
+{
+ 0:* :: "Must not be negative"
+} 1
diff --git a/CarpetExtra/SpaceTimeToy/schedule.ccl b/CarpetExtra/SpaceTimeToy/schedule.ccl
new file mode 100644
index 000000000..85afb3e27
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/schedule.ccl
@@ -0,0 +1,84 @@
+# Schedule definitions for thorn SpaceTimeToy
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/schedule.ccl,v 1.8 2003/11/05 16:18:40 schnetter Exp $
+
+STORAGE: spacetimeevolve[3]
+STORAGE: icn_state
+
+
+
+# Startup
+
+schedule SpaceTimeToy_Startup at STARTUP
+{
+ LANG: Fortran
+} "Register banner"
+
+schedule SpaceTimeToy_InitSymBound at BASEGRID
+{
+ LANG: Fortran
+ OPTIONS: global
+} "Schedule symmetries"
+
+
+
+# Iterative Crank-Nicholson integration
+
+schedule SpaceTimeToy_EulerStep at EVOL \
+ after HydroToy_EulerPredictor
+{
+ LANG: Fortran
+ STORAGE: spacetimetemps hydrotemps
+} "Initial Euler step"
+
+schedule SpaceTimeToy_Boundaries at EVOL \
+ after SpaceTimeToy_EulerStep
+{
+ LANG: Fortran
+ SYNC: spacetimeevolve
+} "Select boundary conditions after initial Euler step"
+
+schedule GROUP ApplyBCs at EVOL \
+ after SpaceTimeToy_Boundaries
+{
+} "Apply boundary conditions after initial Euler step"
+
+
+
+schedule GROUP SpaceTimeToy_ICNLoop at EVOL \
+ after SpaceTimeToy_EulerStep \
+ after HydroToy_EulerPredictor \
+ before HydroToy_EulerCorrector \
+ while SpaceTimeToy::do_iterate
+{
+} "All ICN steps"
+
+schedule SpaceTimeToy_ICNStep in SpaceTimeToy_ICNLoop
+{
+ LANG: Fortran
+ STORAGE: spacetimetemps hydrotemps
+} "One ICN step"
+
+schedule SpaceTimeToy_Boundaries in SpaceTimeToy_ICNLoop \
+ after SpaceTimeToy_ICNStep
+{
+ LANG: Fortran
+ SYNC: spacetimeevolve
+} "Select boundary conditions after ICN step"
+
+schedule GROUP ApplyBCs in SpaceTimeToy_ICNLoop \
+ after SpaceTimeToy_Boundaries
+{
+} "Apply boundary conditions after ICN step"
+
+
+
+schedule SpaceTimeToy_Boundaries at POSTRESTRICT
+{
+ LANG: Fortran
+ SYNC: spacetimeevolve
+} "Select boundary conditions after restricting"
+
+schedule GROUP ApplyBCs at POSTRESTRICT \
+ after SpaceTimeToy_Boundaries
+{
+} "Apply boundary conditions after restricting"
diff --git a/CarpetExtra/SpaceTimeToy/src/InitSymBound.F77 b/CarpetExtra/SpaceTimeToy/src/InitSymBound.F77
new file mode 100644
index 000000000..ab98da34a
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/src/InitSymBound.F77
@@ -0,0 +1,22 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/src/InitSymBound.F77,v 1.4 2003/11/05 16:18:40 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine SpaceTimeToy_InitSymBound (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ integer ierr
+
+ call Cart3dSetTensorTypeVN (ierr, cctkGH, "SpaceTimeToy::phi", "scalar")
+ call Cart3dSetTensorTypeVN (ierr, cctkGH, "SpaceTimeToy::psi", "scalar")
+
+ end
diff --git a/CarpetExtra/SpaceTimeToy/src/SpaceTimeToy.F77 b/CarpetExtra/SpaceTimeToy/src/SpaceTimeToy.F77
new file mode 100644
index 000000000..0fbc5963e
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/src/SpaceTimeToy.F77
@@ -0,0 +1,235 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/src/SpaceTimeToy.F77,v 1.12 2003/11/05 16:18:40 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+
+
+ subroutine SpaceTimeToy_EulerStep (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ integer i,j,k
+
+c Copy
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ phi_i(i,j,k) = phi_p(i,j,k)
+ psi_i(i,j,k) = psi_p(i,j,k)
+
+ end do
+ end do
+ end do
+
+ if (hydrotoy_active.eq.1) then
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ u_i(i,j,k) = u_p(i,j,k)
+ vx_i(i,j,k) = vx_p(i,j,k)
+ vy_i(i,j,k) = vy_p(i,j,k)
+ vz_i(i,j,k) = vz_p(i,j,k)
+
+ end do
+ end do
+ end do
+
+ else
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ u_i(i,j,k) = 0
+ vx_i(i,j,k) = 0
+ vy_i(i,j,k) = 0
+ vz_i(i,j,k) = 0
+
+ end do
+ end do
+ end do
+
+ end if
+
+c Evolve
+ call SpaceTimeToy_Step (CCTK_PASS_FTOF)
+
+c Initialise ICN iterations
+ icn_iteration = 0
+ do_iterate = 1
+ if (icn_iteration .eq. icn_iterations) then
+ do_iterate = 0
+ end if
+
+ end
+
+
+
+ subroutine SpaceTimeToy_ICNStep (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ CCTK_REAL two, half
+ parameter (two=2, half=1/two)
+
+ integer i,j,k
+
+c Average
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ phi_i(i,j,k) = half * (phi_p(i,j,k) + phi(i,j,k))
+ psi_i(i,j,k) = half * (psi_p(i,j,k) + psi(i,j,k))
+
+ end do
+ end do
+ end do
+
+ if (hydrotoy_active.eq.1) then
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ u_i(i,j,k) = half * (u_p(i,j,k) + u(i,j,k))
+ vx_i(i,j,k) = half * (vx_p(i,j,k) + vx(i,j,k))
+ vy_i(i,j,k) = half * (vy_p(i,j,k) + vy(i,j,k))
+ vz_i(i,j,k) = half * (vz_p(i,j,k) + vz(i,j,k))
+
+ end do
+ end do
+ end do
+
+ else
+
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+
+ u_i(i,j,k) = 0
+ vx_i(i,j,k) = 0
+ vy_i(i,j,k) = 0
+ vz_i(i,j,k) = 0
+
+ end do
+ end do
+ end do
+
+ end if
+
+c Evolve
+ call SpaceTimeToy_Step (CCTK_PASS_FTOF)
+
+c Step ICN iterations
+ icn_iteration = icn_iteration + 1
+ if (icn_iteration .eq. icn_iterations) then
+ do_iterate = 0
+ end if
+
+ end
+
+
+
+ subroutine SpaceTimeToy_Step (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ CCTK_REAL dx,dy,dz,dt
+ integer i,j,k
+
+ dx = CCTK_DELTA_SPACE(1)
+ dy = CCTK_DELTA_SPACE(2)
+ dz = CCTK_DELTA_SPACE(3)
+ dt = CCTK_DELTA_TIME
+
+c Evolve
+ do k=1+cctk_nghostzones(3),cctk_lsh(3)-cctk_nghostzones(3)
+ do j=1+cctk_nghostzones(2),cctk_lsh(2)-cctk_nghostzones(2)
+ do i=1+cctk_nghostzones(1),cctk_lsh(1)-cctk_nghostzones(1)
+
+ phi(i,j,k) = phi_p(i,j,k)
+ $ + dt * psi_i(i,j,k)
+ $ + dt * u_i(i,j,k)
+
+ psi(i,j,k) = psi_p(i,j,k)
+ $ + dt * (phi_i(i-1,j,k) - 2*phi_i(i,j,k) + phi_i(i+1,j,k)) / dx**2
+ $ + dt * (phi_i(i,j-1,k) - 2*phi_i(i,j,k) + phi_i(i,j+1,k)) / dy**2
+ $ + dt * (phi_i(i,j,k-1) - 2*phi_i(i,j,k) + phi_i(i,j,k+1)) / dz**2
+ $ - dt * (vx_i(i+1,j,k) - vx_i(i-1,j,k)) / (2*dx)
+ $ - dt * (vy_i(i,j+1,k) - vy_i(i,j-1,k)) / (2*dy)
+ $ - dt * (vz_i(i,j,k+1) - vz_i(i,j,k-1)) / (2*dz)
+
+ end do
+ end do
+ end do
+
+ end
+
+
+
+ subroutine SpaceTimeToy_Boundaries (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ character fbound*1000
+ CCTK_INT fboundlen
+
+ integer options
+
+ CCTK_INT boundary_width
+ CCTK_INT options1
+
+ integer d
+ integer ierr
+
+ boundary_width = cctk_nghostzones(1)
+ do d=1,3
+ if (cctk_nghostzones(d) .ne. boundary_width) then
+ call CCTK_WARN (0, "internal error")
+ end if
+ end do
+
+ call Util_TableCreateFromString (options, "")
+ if (options .lt. 0) call CCTK_WARN (0, "internal error")
+
+ call CCTK_FortranString (fboundlen, bound, fbound)
+
+ options1 = options
+ ierr = Boundary_SelectGroupForBC (cctkGH, CCTK_ALL_FACES, boundary_width, options1, "spacetimetoy::spacetimeevolve", fbound)
+ if (ierr .lt. 0) then
+ call CCTK_WARN (0, "Error while selecting boundary condition")
+ end if
+
+ call Util_TableDestroy (ierr, options)
+ if (ierr .lt. 0) call CCTK_WARN (0, "internal error")
+
+ call Cart3dSymGN (ierr, cctkGH, "spacetimetoy::spacetimeevolve")
+ if (ierr .lt. 0) then
+ call CCTK_WARN (0, "Error while applying symmetry condition")
+ end if
+
+ end
diff --git a/CarpetExtra/SpaceTimeToy/src/Startup.F77 b/CarpetExtra/SpaceTimeToy/src/Startup.F77
new file mode 100644
index 000000000..2d7e51c72
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/src/Startup.F77
@@ -0,0 +1,15 @@
+c -*-Fortran-*-
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/src/Startup.F77,v 1.1 2001/03/17 16:05:56 eschnett Exp $
+
+#include "cctk.h"
+
+ subroutine SpaceTimeToy_Startup
+
+ implicit none
+
+ integer ierr
+
+ call CCTK_RegisterBanner
+ $ (ierr, "SpaceTimeToy: Evolutions of two Scalar Fields")
+
+ end
diff --git a/CarpetExtra/SpaceTimeToy/src/make.code.defn b/CarpetExtra/SpaceTimeToy/src/make.code.defn
new file mode 100644
index 000000000..f628d87be
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn SpaceTimeToy -*-Makefile-*-
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/src/make.code.defn,v 1.1 2001/03/17 16:05:56 eschnett Exp $
+
+# Source files in this directory
+SRCS = InitSymBound.F77 SpaceTimeToy.F77 Startup.F77
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse.log b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse.log
new file mode 100644
index 000000000..053e3f58e
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse.log
@@ -0,0 +1,135 @@
+--------------------------------------------------------------------------------
+
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+
+Cactus version: 4.0.b11
+Compile date: Nov 30 2001 (15:23:02)
+Run date: Dec 3 2001 (11:31:30)
+Run host: lilypond.tat.physik.uni-tuebingen.de
+Parameter file: /home/eschnett/Calpha/Cactus/arrangements/Carpet/SpaceTimeToy/test/doubletoy_periodic_coarse.par
+--------------------------------------------------------------------------------
+
+Activating thorn Cactus...Success -> active implementation Cactus
+Activation requested for
+--->Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetSlab IDSpaceTimeToy SpaceTimeToy IDHydroToy HydroToy<---
+Activating thorn Boundary...Success -> active implementation boundary
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn HydroToy...Success -> active implementation hydrotoy
+Activating thorn IDHydroToy...Success -> active implementation idhydrotoy
+Activating thorn IDSpaceTimeToy...Success -> active implementation idspacetimetoy
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn SpaceTimeToy...Success -> active implementation spacetimetoy
+Activating thorn Time...Success -> active implementation time
+--------------------------------------------------------------------------------
+ if (recover)
+ Recover parameters
+ endif
+
+ Startup routines
+ Carpet: Startup routine
+ IOUtil: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ HydroToy: Register banner
+ IDHydroToy: Register banner
+ IDSpaceTimeToy: Register banner
+ IOBasic: Startup routine
+ CarpetIOASCII: Startup routine
+ SpaceTimeToy: Register banner
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ HydroToy: Schedule symmetries
+ SpaceTimeToy: Schedule symmetries
+ Time: Initialise Time variables
+ Time: Set timestep based on Courant condition
+ IDHydroToy: Initial data for 3D wave equation
+ IDSpaceTimeToy: Initial data for 3D wave equation
+ if (recover)
+ endif
+ if (checkpoint initial data)
+ endif
+ if (analysis)
+ endif
+
+ do loop over timesteps
+ Rotate timelevels
+ iteration = iteration + 1
+ t = t+dt
+ HydroToy: Euler predictor step
+ SpaceTimeToy: Initial Euler step
+ while (SpaceTimeToy::do_iterate)
+ SpaceTimeToy: One ICN step
+ end while
+ HydroToy: Euler corrector step
+ if (checkpoint)
+ endif
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+HydroToy: Evolutions of a Scalar and a Vector Field
+--------------------------------------------------------------------------------
+IDHydroToy: Initial data for a Scalar and a Vector Field
+--------------------------------------------------------------------------------
+IDSpaceTimeToy: Initial data for two Scalar Fields
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+SpaceTimeToy: Evolutions of two Scalar Fields
+--------------------------------------------------------------------------------
+
+INFO (Carpet): Carpet is running on 1 processors
+INFO (IOBasic): I/O Method 'Scalar' registered
+INFO (IOBasic): Scalar: Output of scalar quantities (grid scalars, reductions) to ASCII files
+INFO (IOBasic): I/O Method 'Info' registered
+INFO (IOBasic): Info: Output of scalar quantities (grid scalars, reductions) to screen
+INFO (Cart3d): Cartesian coordinates:
+INFO (Cart3d): Whole grid: lower bound [-5.4, -7.2, -9.6]
+INFO (Cart3d): Whole grid: upper bound [5.4, 7.8, 10.2]
+INFO (Cart3d): Whole grid: extent [11.4, 15.6, 20.4]
+INFO (Cart3d): Interior: lower bound [-4.2, -6, -8.4]
+INFO (Cart3d): Interior: upper bound [4.2, 6.6, 9]
+INFO (Cart3d): Interior: extent [9, 13.2, 18]
+INFO (Cart3d): Grid spacing: [0.6, 0.6, 0.6]
+INFO (IOBasic): Scalar: Output every -1 iterations
+INFO (IOBasic): Info: Output every 1 iterations
+------------------
+ it | |
+ | t |
+------------------
+ 0 | 0.000 |
+ 1 | 0.300 |
+ 2 | 0.600 |
+ 3 | 0.900 |
+ 4 | 1.200 |
+ 5 | 1.500 |
+ 6 | 1.800 |
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse.par b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse.par
new file mode 100644
index 000000000..94b18041c
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse.par
@@ -0,0 +1,54 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse.par,v 1.5 2004/03/23 12:00:15 schnetter Exp $
+
+!DESC "DoubleToy with periodic boundaries, no refinement"
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDSpaceTimeToy SpaceTimeToy IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 6
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "doubletoy_periodic_coarse"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve grid::coordinates"
+
+SpaceTimeToy::icn_iterations = 2
+SpaceTimeToy::bound = radiation
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDSpaceTimeToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDSpaceTimeToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_x.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_x.xl
new file mode 100644
index 000000000..4e6fc8f78
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_x.xl
@@ -0,0 +1,170 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -5.4
+0 0 0 0 0 1 12 16 -4.8
+0 0 0 0 0 2 12 16 -4.2
+0 0 0 0 0 3 12 16 -3.6
+0 0 0 0 0 4 12 16 -3
+0 0 0 0 0 5 12 16 -2.4
+0 0 0 0 0 6 12 16 -1.8
+0 0 0 0 0 7 12 16 -1.2
+0 0 0 0 0 8 12 16 -0.6
+0 0 0 0 0 9 12 16 4.44089209850063e-16
+0 0 0 0 0 10 12 16 0.600000000000001
+0 0 0 0 0 11 12 16 1.2
+0 0 0 0 0 12 12 16 1.8
+0 0 0 0 0 13 12 16 2.4
+0 0 0 0 0 14 12 16 3
+0 0 0 0 0 15 12 16 3.6
+0 0 0 0 0 16 12 16 4.2
+0 0 0 0 0 17 12 16 4.8
+0 0 0 0 0 18 12 16 5.4
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -5.4
+1 0 0 0 0 1 12 16 -4.8
+1 0 0 0 0 2 12 16 -4.2
+1 0 0 0 0 3 12 16 -3.6
+1 0 0 0 0 4 12 16 -3
+1 0 0 0 0 5 12 16 -2.4
+1 0 0 0 0 6 12 16 -1.8
+1 0 0 0 0 7 12 16 -1.2
+1 0 0 0 0 8 12 16 -0.6
+1 0 0 0 0 9 12 16 4.44089209850063e-16
+1 0 0 0 0 10 12 16 0.600000000000001
+1 0 0 0 0 11 12 16 1.2
+1 0 0 0 0 12 12 16 1.8
+1 0 0 0 0 13 12 16 2.4
+1 0 0 0 0 14 12 16 3
+1 0 0 0 0 15 12 16 3.6
+1 0 0 0 0 16 12 16 4.2
+1 0 0 0 0 17 12 16 4.8
+1 0 0 0 0 18 12 16 5.4
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -5.4
+2 0 0 0 0 1 12 16 -4.8
+2 0 0 0 0 2 12 16 -4.2
+2 0 0 0 0 3 12 16 -3.6
+2 0 0 0 0 4 12 16 -3
+2 0 0 0 0 5 12 16 -2.4
+2 0 0 0 0 6 12 16 -1.8
+2 0 0 0 0 7 12 16 -1.2
+2 0 0 0 0 8 12 16 -0.6
+2 0 0 0 0 9 12 16 4.44089209850063e-16
+2 0 0 0 0 10 12 16 0.600000000000001
+2 0 0 0 0 11 12 16 1.2
+2 0 0 0 0 12 12 16 1.8
+2 0 0 0 0 13 12 16 2.4
+2 0 0 0 0 14 12 16 3
+2 0 0 0 0 15 12 16 3.6
+2 0 0 0 0 16 12 16 4.2
+2 0 0 0 0 17 12 16 4.8
+2 0 0 0 0 18 12 16 5.4
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -5.4
+3 0 0 0 0 1 12 16 -4.8
+3 0 0 0 0 2 12 16 -4.2
+3 0 0 0 0 3 12 16 -3.6
+3 0 0 0 0 4 12 16 -3
+3 0 0 0 0 5 12 16 -2.4
+3 0 0 0 0 6 12 16 -1.8
+3 0 0 0 0 7 12 16 -1.2
+3 0 0 0 0 8 12 16 -0.6
+3 0 0 0 0 9 12 16 4.44089209850063e-16
+3 0 0 0 0 10 12 16 0.600000000000001
+3 0 0 0 0 11 12 16 1.2
+3 0 0 0 0 12 12 16 1.8
+3 0 0 0 0 13 12 16 2.4
+3 0 0 0 0 14 12 16 3
+3 0 0 0 0 15 12 16 3.6
+3 0 0 0 0 16 12 16 4.2
+3 0 0 0 0 17 12 16 4.8
+3 0 0 0 0 18 12 16 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -5.4
+4 0 0 0 0 1 12 16 -4.8
+4 0 0 0 0 2 12 16 -4.2
+4 0 0 0 0 3 12 16 -3.6
+4 0 0 0 0 4 12 16 -3
+4 0 0 0 0 5 12 16 -2.4
+4 0 0 0 0 6 12 16 -1.8
+4 0 0 0 0 7 12 16 -1.2
+4 0 0 0 0 8 12 16 -0.6
+4 0 0 0 0 9 12 16 4.44089209850063e-16
+4 0 0 0 0 10 12 16 0.600000000000001
+4 0 0 0 0 11 12 16 1.2
+4 0 0 0 0 12 12 16 1.8
+4 0 0 0 0 13 12 16 2.4
+4 0 0 0 0 14 12 16 3
+4 0 0 0 0 15 12 16 3.6
+4 0 0 0 0 16 12 16 4.2
+4 0 0 0 0 17 12 16 4.8
+4 0 0 0 0 18 12 16 5.4
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -5.4
+5 0 0 0 0 1 12 16 -4.8
+5 0 0 0 0 2 12 16 -4.2
+5 0 0 0 0 3 12 16 -3.6
+5 0 0 0 0 4 12 16 -3
+5 0 0 0 0 5 12 16 -2.4
+5 0 0 0 0 6 12 16 -1.8
+5 0 0 0 0 7 12 16 -1.2
+5 0 0 0 0 8 12 16 -0.6
+5 0 0 0 0 9 12 16 4.44089209850063e-16
+5 0 0 0 0 10 12 16 0.600000000000001
+5 0 0 0 0 11 12 16 1.2
+5 0 0 0 0 12 12 16 1.8
+5 0 0 0 0 13 12 16 2.4
+5 0 0 0 0 14 12 16 3
+5 0 0 0 0 15 12 16 3.6
+5 0 0 0 0 16 12 16 4.2
+5 0 0 0 0 17 12 16 4.8
+5 0 0 0 0 18 12 16 5.4
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -5.4
+6 0 0 0 0 1 12 16 -4.8
+6 0 0 0 0 2 12 16 -4.2
+6 0 0 0 0 3 12 16 -3.6
+6 0 0 0 0 4 12 16 -3
+6 0 0 0 0 5 12 16 -2.4
+6 0 0 0 0 6 12 16 -1.8
+6 0 0 0 0 7 12 16 -1.2
+6 0 0 0 0 8 12 16 -0.6
+6 0 0 0 0 9 12 16 4.44089209850063e-16
+6 0 0 0 0 10 12 16 0.600000000000001
+6 0 0 0 0 11 12 16 1.2
+6 0 0 0 0 12 12 16 1.8
+6 0 0 0 0 13 12 16 2.4
+6 0 0 0 0 14 12 16 3
+6 0 0 0 0 15 12 16 3.6
+6 0 0 0 0 16 12 16 4.2
+6 0 0 0 0 17 12 16 4.8
+6 0 0 0 0 18 12 16 5.4
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_x.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_x.yl
new file mode 100644
index 000000000..467676ecc
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_x.yl
@@ -0,0 +1,219 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 4.44089209850063e-16
+0 0 0 0 0 9 1 16 4.44089209850063e-16
+0 0 0 0 0 9 2 16 4.44089209850063e-16
+0 0 0 0 0 9 3 16 4.44089209850063e-16
+0 0 0 0 0 9 4 16 4.44089209850063e-16
+0 0 0 0 0 9 5 16 4.44089209850063e-16
+0 0 0 0 0 9 6 16 4.44089209850063e-16
+0 0 0 0 0 9 7 16 4.44089209850063e-16
+0 0 0 0 0 9 8 16 4.44089209850063e-16
+0 0 0 0 0 9 9 16 4.44089209850063e-16
+0 0 0 0 0 9 10 16 4.44089209850063e-16
+0 0 0 0 0 9 11 16 4.44089209850063e-16
+0 0 0 0 0 9 12 16 4.44089209850063e-16
+0 0 0 0 0 9 13 16 4.44089209850063e-16
+0 0 0 0 0 9 14 16 4.44089209850063e-16
+0 0 0 0 0 9 15 16 4.44089209850063e-16
+0 0 0 0 0 9 16 16 4.44089209850063e-16
+0 0 0 0 0 9 17 16 4.44089209850063e-16
+0 0 0 0 0 9 18 16 4.44089209850063e-16
+0 0 0 0 0 9 19 16 4.44089209850063e-16
+0 0 0 0 0 9 20 16 4.44089209850063e-16
+0 0 0 0 0 9 21 16 4.44089209850063e-16
+0 0 0 0 0 9 22 16 4.44089209850063e-16
+0 0 0 0 0 9 23 16 4.44089209850063e-16
+0 0 0 0 0 9 24 16 4.44089209850063e-16
+0 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 4.44089209850063e-16
+1 0 0 0 0 9 1 16 4.44089209850063e-16
+1 0 0 0 0 9 2 16 4.44089209850063e-16
+1 0 0 0 0 9 3 16 4.44089209850063e-16
+1 0 0 0 0 9 4 16 4.44089209850063e-16
+1 0 0 0 0 9 5 16 4.44089209850063e-16
+1 0 0 0 0 9 6 16 4.44089209850063e-16
+1 0 0 0 0 9 7 16 4.44089209850063e-16
+1 0 0 0 0 9 8 16 4.44089209850063e-16
+1 0 0 0 0 9 9 16 4.44089209850063e-16
+1 0 0 0 0 9 10 16 4.44089209850063e-16
+1 0 0 0 0 9 11 16 4.44089209850063e-16
+1 0 0 0 0 9 12 16 4.44089209850063e-16
+1 0 0 0 0 9 13 16 4.44089209850063e-16
+1 0 0 0 0 9 14 16 4.44089209850063e-16
+1 0 0 0 0 9 15 16 4.44089209850063e-16
+1 0 0 0 0 9 16 16 4.44089209850063e-16
+1 0 0 0 0 9 17 16 4.44089209850063e-16
+1 0 0 0 0 9 18 16 4.44089209850063e-16
+1 0 0 0 0 9 19 16 4.44089209850063e-16
+1 0 0 0 0 9 20 16 4.44089209850063e-16
+1 0 0 0 0 9 21 16 4.44089209850063e-16
+1 0 0 0 0 9 22 16 4.44089209850063e-16
+1 0 0 0 0 9 23 16 4.44089209850063e-16
+1 0 0 0 0 9 24 16 4.44089209850063e-16
+1 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 4.44089209850063e-16
+2 0 0 0 0 9 1 16 4.44089209850063e-16
+2 0 0 0 0 9 2 16 4.44089209850063e-16
+2 0 0 0 0 9 3 16 4.44089209850063e-16
+2 0 0 0 0 9 4 16 4.44089209850063e-16
+2 0 0 0 0 9 5 16 4.44089209850063e-16
+2 0 0 0 0 9 6 16 4.44089209850063e-16
+2 0 0 0 0 9 7 16 4.44089209850063e-16
+2 0 0 0 0 9 8 16 4.44089209850063e-16
+2 0 0 0 0 9 9 16 4.44089209850063e-16
+2 0 0 0 0 9 10 16 4.44089209850063e-16
+2 0 0 0 0 9 11 16 4.44089209850063e-16
+2 0 0 0 0 9 12 16 4.44089209850063e-16
+2 0 0 0 0 9 13 16 4.44089209850063e-16
+2 0 0 0 0 9 14 16 4.44089209850063e-16
+2 0 0 0 0 9 15 16 4.44089209850063e-16
+2 0 0 0 0 9 16 16 4.44089209850063e-16
+2 0 0 0 0 9 17 16 4.44089209850063e-16
+2 0 0 0 0 9 18 16 4.44089209850063e-16
+2 0 0 0 0 9 19 16 4.44089209850063e-16
+2 0 0 0 0 9 20 16 4.44089209850063e-16
+2 0 0 0 0 9 21 16 4.44089209850063e-16
+2 0 0 0 0 9 22 16 4.44089209850063e-16
+2 0 0 0 0 9 23 16 4.44089209850063e-16
+2 0 0 0 0 9 24 16 4.44089209850063e-16
+2 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 4.44089209850063e-16
+3 0 0 0 0 9 1 16 4.44089209850063e-16
+3 0 0 0 0 9 2 16 4.44089209850063e-16
+3 0 0 0 0 9 3 16 4.44089209850063e-16
+3 0 0 0 0 9 4 16 4.44089209850063e-16
+3 0 0 0 0 9 5 16 4.44089209850063e-16
+3 0 0 0 0 9 6 16 4.44089209850063e-16
+3 0 0 0 0 9 7 16 4.44089209850063e-16
+3 0 0 0 0 9 8 16 4.44089209850063e-16
+3 0 0 0 0 9 9 16 4.44089209850063e-16
+3 0 0 0 0 9 10 16 4.44089209850063e-16
+3 0 0 0 0 9 11 16 4.44089209850063e-16
+3 0 0 0 0 9 12 16 4.44089209850063e-16
+3 0 0 0 0 9 13 16 4.44089209850063e-16
+3 0 0 0 0 9 14 16 4.44089209850063e-16
+3 0 0 0 0 9 15 16 4.44089209850063e-16
+3 0 0 0 0 9 16 16 4.44089209850063e-16
+3 0 0 0 0 9 17 16 4.44089209850063e-16
+3 0 0 0 0 9 18 16 4.44089209850063e-16
+3 0 0 0 0 9 19 16 4.44089209850063e-16
+3 0 0 0 0 9 20 16 4.44089209850063e-16
+3 0 0 0 0 9 21 16 4.44089209850063e-16
+3 0 0 0 0 9 22 16 4.44089209850063e-16
+3 0 0 0 0 9 23 16 4.44089209850063e-16
+3 0 0 0 0 9 24 16 4.44089209850063e-16
+3 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 4.44089209850063e-16
+4 0 0 0 0 9 1 16 4.44089209850063e-16
+4 0 0 0 0 9 2 16 4.44089209850063e-16
+4 0 0 0 0 9 3 16 4.44089209850063e-16
+4 0 0 0 0 9 4 16 4.44089209850063e-16
+4 0 0 0 0 9 5 16 4.44089209850063e-16
+4 0 0 0 0 9 6 16 4.44089209850063e-16
+4 0 0 0 0 9 7 16 4.44089209850063e-16
+4 0 0 0 0 9 8 16 4.44089209850063e-16
+4 0 0 0 0 9 9 16 4.44089209850063e-16
+4 0 0 0 0 9 10 16 4.44089209850063e-16
+4 0 0 0 0 9 11 16 4.44089209850063e-16
+4 0 0 0 0 9 12 16 4.44089209850063e-16
+4 0 0 0 0 9 13 16 4.44089209850063e-16
+4 0 0 0 0 9 14 16 4.44089209850063e-16
+4 0 0 0 0 9 15 16 4.44089209850063e-16
+4 0 0 0 0 9 16 16 4.44089209850063e-16
+4 0 0 0 0 9 17 16 4.44089209850063e-16
+4 0 0 0 0 9 18 16 4.44089209850063e-16
+4 0 0 0 0 9 19 16 4.44089209850063e-16
+4 0 0 0 0 9 20 16 4.44089209850063e-16
+4 0 0 0 0 9 21 16 4.44089209850063e-16
+4 0 0 0 0 9 22 16 4.44089209850063e-16
+4 0 0 0 0 9 23 16 4.44089209850063e-16
+4 0 0 0 0 9 24 16 4.44089209850063e-16
+4 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 4.44089209850063e-16
+5 0 0 0 0 9 1 16 4.44089209850063e-16
+5 0 0 0 0 9 2 16 4.44089209850063e-16
+5 0 0 0 0 9 3 16 4.44089209850063e-16
+5 0 0 0 0 9 4 16 4.44089209850063e-16
+5 0 0 0 0 9 5 16 4.44089209850063e-16
+5 0 0 0 0 9 6 16 4.44089209850063e-16
+5 0 0 0 0 9 7 16 4.44089209850063e-16
+5 0 0 0 0 9 8 16 4.44089209850063e-16
+5 0 0 0 0 9 9 16 4.44089209850063e-16
+5 0 0 0 0 9 10 16 4.44089209850063e-16
+5 0 0 0 0 9 11 16 4.44089209850063e-16
+5 0 0 0 0 9 12 16 4.44089209850063e-16
+5 0 0 0 0 9 13 16 4.44089209850063e-16
+5 0 0 0 0 9 14 16 4.44089209850063e-16
+5 0 0 0 0 9 15 16 4.44089209850063e-16
+5 0 0 0 0 9 16 16 4.44089209850063e-16
+5 0 0 0 0 9 17 16 4.44089209850063e-16
+5 0 0 0 0 9 18 16 4.44089209850063e-16
+5 0 0 0 0 9 19 16 4.44089209850063e-16
+5 0 0 0 0 9 20 16 4.44089209850063e-16
+5 0 0 0 0 9 21 16 4.44089209850063e-16
+5 0 0 0 0 9 22 16 4.44089209850063e-16
+5 0 0 0 0 9 23 16 4.44089209850063e-16
+5 0 0 0 0 9 24 16 4.44089209850063e-16
+5 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 4.44089209850063e-16
+6 0 0 0 0 9 1 16 4.44089209850063e-16
+6 0 0 0 0 9 2 16 4.44089209850063e-16
+6 0 0 0 0 9 3 16 4.44089209850063e-16
+6 0 0 0 0 9 4 16 4.44089209850063e-16
+6 0 0 0 0 9 5 16 4.44089209850063e-16
+6 0 0 0 0 9 6 16 4.44089209850063e-16
+6 0 0 0 0 9 7 16 4.44089209850063e-16
+6 0 0 0 0 9 8 16 4.44089209850063e-16
+6 0 0 0 0 9 9 16 4.44089209850063e-16
+6 0 0 0 0 9 10 16 4.44089209850063e-16
+6 0 0 0 0 9 11 16 4.44089209850063e-16
+6 0 0 0 0 9 12 16 4.44089209850063e-16
+6 0 0 0 0 9 13 16 4.44089209850063e-16
+6 0 0 0 0 9 14 16 4.44089209850063e-16
+6 0 0 0 0 9 15 16 4.44089209850063e-16
+6 0 0 0 0 9 16 16 4.44089209850063e-16
+6 0 0 0 0 9 17 16 4.44089209850063e-16
+6 0 0 0 0 9 18 16 4.44089209850063e-16
+6 0 0 0 0 9 19 16 4.44089209850063e-16
+6 0 0 0 0 9 20 16 4.44089209850063e-16
+6 0 0 0 0 9 21 16 4.44089209850063e-16
+6 0 0 0 0 9 22 16 4.44089209850063e-16
+6 0 0 0 0 9 23 16 4.44089209850063e-16
+6 0 0 0 0 9 24 16 4.44089209850063e-16
+6 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_x.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_x.zl
new file mode 100644
index 000000000..a9d72ade1
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_x.zl
@@ -0,0 +1,275 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 4.44089209850063e-16
+0 0 0 0 0 9 12 1 4.44089209850063e-16
+0 0 0 0 0 9 12 2 4.44089209850063e-16
+0 0 0 0 0 9 12 3 4.44089209850063e-16
+0 0 0 0 0 9 12 4 4.44089209850063e-16
+0 0 0 0 0 9 12 5 4.44089209850063e-16
+0 0 0 0 0 9 12 6 4.44089209850063e-16
+0 0 0 0 0 9 12 7 4.44089209850063e-16
+0 0 0 0 0 9 12 8 4.44089209850063e-16
+0 0 0 0 0 9 12 9 4.44089209850063e-16
+0 0 0 0 0 9 12 10 4.44089209850063e-16
+0 0 0 0 0 9 12 11 4.44089209850063e-16
+0 0 0 0 0 9 12 12 4.44089209850063e-16
+0 0 0 0 0 9 12 13 4.44089209850063e-16
+0 0 0 0 0 9 12 14 4.44089209850063e-16
+0 0 0 0 0 9 12 15 4.44089209850063e-16
+0 0 0 0 0 9 12 16 4.44089209850063e-16
+0 0 0 0 0 9 12 17 4.44089209850063e-16
+0 0 0 0 0 9 12 18 4.44089209850063e-16
+0 0 0 0 0 9 12 19 4.44089209850063e-16
+0 0 0 0 0 9 12 20 4.44089209850063e-16
+0 0 0 0 0 9 12 21 4.44089209850063e-16
+0 0 0 0 0 9 12 22 4.44089209850063e-16
+0 0 0 0 0 9 12 23 4.44089209850063e-16
+0 0 0 0 0 9 12 24 4.44089209850063e-16
+0 0 0 0 0 9 12 25 4.44089209850063e-16
+0 0 0 0 0 9 12 26 4.44089209850063e-16
+0 0 0 0 0 9 12 27 4.44089209850063e-16
+0 0 0 0 0 9 12 28 4.44089209850063e-16
+0 0 0 0 0 9 12 29 4.44089209850063e-16
+0 0 0 0 0 9 12 30 4.44089209850063e-16
+0 0 0 0 0 9 12 31 4.44089209850063e-16
+0 0 0 0 0 9 12 32 4.44089209850063e-16
+0 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 4.44089209850063e-16
+1 0 0 0 0 9 12 1 4.44089209850063e-16
+1 0 0 0 0 9 12 2 4.44089209850063e-16
+1 0 0 0 0 9 12 3 4.44089209850063e-16
+1 0 0 0 0 9 12 4 4.44089209850063e-16
+1 0 0 0 0 9 12 5 4.44089209850063e-16
+1 0 0 0 0 9 12 6 4.44089209850063e-16
+1 0 0 0 0 9 12 7 4.44089209850063e-16
+1 0 0 0 0 9 12 8 4.44089209850063e-16
+1 0 0 0 0 9 12 9 4.44089209850063e-16
+1 0 0 0 0 9 12 10 4.44089209850063e-16
+1 0 0 0 0 9 12 11 4.44089209850063e-16
+1 0 0 0 0 9 12 12 4.44089209850063e-16
+1 0 0 0 0 9 12 13 4.44089209850063e-16
+1 0 0 0 0 9 12 14 4.44089209850063e-16
+1 0 0 0 0 9 12 15 4.44089209850063e-16
+1 0 0 0 0 9 12 16 4.44089209850063e-16
+1 0 0 0 0 9 12 17 4.44089209850063e-16
+1 0 0 0 0 9 12 18 4.44089209850063e-16
+1 0 0 0 0 9 12 19 4.44089209850063e-16
+1 0 0 0 0 9 12 20 4.44089209850063e-16
+1 0 0 0 0 9 12 21 4.44089209850063e-16
+1 0 0 0 0 9 12 22 4.44089209850063e-16
+1 0 0 0 0 9 12 23 4.44089209850063e-16
+1 0 0 0 0 9 12 24 4.44089209850063e-16
+1 0 0 0 0 9 12 25 4.44089209850063e-16
+1 0 0 0 0 9 12 26 4.44089209850063e-16
+1 0 0 0 0 9 12 27 4.44089209850063e-16
+1 0 0 0 0 9 12 28 4.44089209850063e-16
+1 0 0 0 0 9 12 29 4.44089209850063e-16
+1 0 0 0 0 9 12 30 4.44089209850063e-16
+1 0 0 0 0 9 12 31 4.44089209850063e-16
+1 0 0 0 0 9 12 32 4.44089209850063e-16
+1 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 4.44089209850063e-16
+2 0 0 0 0 9 12 1 4.44089209850063e-16
+2 0 0 0 0 9 12 2 4.44089209850063e-16
+2 0 0 0 0 9 12 3 4.44089209850063e-16
+2 0 0 0 0 9 12 4 4.44089209850063e-16
+2 0 0 0 0 9 12 5 4.44089209850063e-16
+2 0 0 0 0 9 12 6 4.44089209850063e-16
+2 0 0 0 0 9 12 7 4.44089209850063e-16
+2 0 0 0 0 9 12 8 4.44089209850063e-16
+2 0 0 0 0 9 12 9 4.44089209850063e-16
+2 0 0 0 0 9 12 10 4.44089209850063e-16
+2 0 0 0 0 9 12 11 4.44089209850063e-16
+2 0 0 0 0 9 12 12 4.44089209850063e-16
+2 0 0 0 0 9 12 13 4.44089209850063e-16
+2 0 0 0 0 9 12 14 4.44089209850063e-16
+2 0 0 0 0 9 12 15 4.44089209850063e-16
+2 0 0 0 0 9 12 16 4.44089209850063e-16
+2 0 0 0 0 9 12 17 4.44089209850063e-16
+2 0 0 0 0 9 12 18 4.44089209850063e-16
+2 0 0 0 0 9 12 19 4.44089209850063e-16
+2 0 0 0 0 9 12 20 4.44089209850063e-16
+2 0 0 0 0 9 12 21 4.44089209850063e-16
+2 0 0 0 0 9 12 22 4.44089209850063e-16
+2 0 0 0 0 9 12 23 4.44089209850063e-16
+2 0 0 0 0 9 12 24 4.44089209850063e-16
+2 0 0 0 0 9 12 25 4.44089209850063e-16
+2 0 0 0 0 9 12 26 4.44089209850063e-16
+2 0 0 0 0 9 12 27 4.44089209850063e-16
+2 0 0 0 0 9 12 28 4.44089209850063e-16
+2 0 0 0 0 9 12 29 4.44089209850063e-16
+2 0 0 0 0 9 12 30 4.44089209850063e-16
+2 0 0 0 0 9 12 31 4.44089209850063e-16
+2 0 0 0 0 9 12 32 4.44089209850063e-16
+2 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 4.44089209850063e-16
+3 0 0 0 0 9 12 1 4.44089209850063e-16
+3 0 0 0 0 9 12 2 4.44089209850063e-16
+3 0 0 0 0 9 12 3 4.44089209850063e-16
+3 0 0 0 0 9 12 4 4.44089209850063e-16
+3 0 0 0 0 9 12 5 4.44089209850063e-16
+3 0 0 0 0 9 12 6 4.44089209850063e-16
+3 0 0 0 0 9 12 7 4.44089209850063e-16
+3 0 0 0 0 9 12 8 4.44089209850063e-16
+3 0 0 0 0 9 12 9 4.44089209850063e-16
+3 0 0 0 0 9 12 10 4.44089209850063e-16
+3 0 0 0 0 9 12 11 4.44089209850063e-16
+3 0 0 0 0 9 12 12 4.44089209850063e-16
+3 0 0 0 0 9 12 13 4.44089209850063e-16
+3 0 0 0 0 9 12 14 4.44089209850063e-16
+3 0 0 0 0 9 12 15 4.44089209850063e-16
+3 0 0 0 0 9 12 16 4.44089209850063e-16
+3 0 0 0 0 9 12 17 4.44089209850063e-16
+3 0 0 0 0 9 12 18 4.44089209850063e-16
+3 0 0 0 0 9 12 19 4.44089209850063e-16
+3 0 0 0 0 9 12 20 4.44089209850063e-16
+3 0 0 0 0 9 12 21 4.44089209850063e-16
+3 0 0 0 0 9 12 22 4.44089209850063e-16
+3 0 0 0 0 9 12 23 4.44089209850063e-16
+3 0 0 0 0 9 12 24 4.44089209850063e-16
+3 0 0 0 0 9 12 25 4.44089209850063e-16
+3 0 0 0 0 9 12 26 4.44089209850063e-16
+3 0 0 0 0 9 12 27 4.44089209850063e-16
+3 0 0 0 0 9 12 28 4.44089209850063e-16
+3 0 0 0 0 9 12 29 4.44089209850063e-16
+3 0 0 0 0 9 12 30 4.44089209850063e-16
+3 0 0 0 0 9 12 31 4.44089209850063e-16
+3 0 0 0 0 9 12 32 4.44089209850063e-16
+3 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 4.44089209850063e-16
+4 0 0 0 0 9 12 1 4.44089209850063e-16
+4 0 0 0 0 9 12 2 4.44089209850063e-16
+4 0 0 0 0 9 12 3 4.44089209850063e-16
+4 0 0 0 0 9 12 4 4.44089209850063e-16
+4 0 0 0 0 9 12 5 4.44089209850063e-16
+4 0 0 0 0 9 12 6 4.44089209850063e-16
+4 0 0 0 0 9 12 7 4.44089209850063e-16
+4 0 0 0 0 9 12 8 4.44089209850063e-16
+4 0 0 0 0 9 12 9 4.44089209850063e-16
+4 0 0 0 0 9 12 10 4.44089209850063e-16
+4 0 0 0 0 9 12 11 4.44089209850063e-16
+4 0 0 0 0 9 12 12 4.44089209850063e-16
+4 0 0 0 0 9 12 13 4.44089209850063e-16
+4 0 0 0 0 9 12 14 4.44089209850063e-16
+4 0 0 0 0 9 12 15 4.44089209850063e-16
+4 0 0 0 0 9 12 16 4.44089209850063e-16
+4 0 0 0 0 9 12 17 4.44089209850063e-16
+4 0 0 0 0 9 12 18 4.44089209850063e-16
+4 0 0 0 0 9 12 19 4.44089209850063e-16
+4 0 0 0 0 9 12 20 4.44089209850063e-16
+4 0 0 0 0 9 12 21 4.44089209850063e-16
+4 0 0 0 0 9 12 22 4.44089209850063e-16
+4 0 0 0 0 9 12 23 4.44089209850063e-16
+4 0 0 0 0 9 12 24 4.44089209850063e-16
+4 0 0 0 0 9 12 25 4.44089209850063e-16
+4 0 0 0 0 9 12 26 4.44089209850063e-16
+4 0 0 0 0 9 12 27 4.44089209850063e-16
+4 0 0 0 0 9 12 28 4.44089209850063e-16
+4 0 0 0 0 9 12 29 4.44089209850063e-16
+4 0 0 0 0 9 12 30 4.44089209850063e-16
+4 0 0 0 0 9 12 31 4.44089209850063e-16
+4 0 0 0 0 9 12 32 4.44089209850063e-16
+4 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 4.44089209850063e-16
+5 0 0 0 0 9 12 1 4.44089209850063e-16
+5 0 0 0 0 9 12 2 4.44089209850063e-16
+5 0 0 0 0 9 12 3 4.44089209850063e-16
+5 0 0 0 0 9 12 4 4.44089209850063e-16
+5 0 0 0 0 9 12 5 4.44089209850063e-16
+5 0 0 0 0 9 12 6 4.44089209850063e-16
+5 0 0 0 0 9 12 7 4.44089209850063e-16
+5 0 0 0 0 9 12 8 4.44089209850063e-16
+5 0 0 0 0 9 12 9 4.44089209850063e-16
+5 0 0 0 0 9 12 10 4.44089209850063e-16
+5 0 0 0 0 9 12 11 4.44089209850063e-16
+5 0 0 0 0 9 12 12 4.44089209850063e-16
+5 0 0 0 0 9 12 13 4.44089209850063e-16
+5 0 0 0 0 9 12 14 4.44089209850063e-16
+5 0 0 0 0 9 12 15 4.44089209850063e-16
+5 0 0 0 0 9 12 16 4.44089209850063e-16
+5 0 0 0 0 9 12 17 4.44089209850063e-16
+5 0 0 0 0 9 12 18 4.44089209850063e-16
+5 0 0 0 0 9 12 19 4.44089209850063e-16
+5 0 0 0 0 9 12 20 4.44089209850063e-16
+5 0 0 0 0 9 12 21 4.44089209850063e-16
+5 0 0 0 0 9 12 22 4.44089209850063e-16
+5 0 0 0 0 9 12 23 4.44089209850063e-16
+5 0 0 0 0 9 12 24 4.44089209850063e-16
+5 0 0 0 0 9 12 25 4.44089209850063e-16
+5 0 0 0 0 9 12 26 4.44089209850063e-16
+5 0 0 0 0 9 12 27 4.44089209850063e-16
+5 0 0 0 0 9 12 28 4.44089209850063e-16
+5 0 0 0 0 9 12 29 4.44089209850063e-16
+5 0 0 0 0 9 12 30 4.44089209850063e-16
+5 0 0 0 0 9 12 31 4.44089209850063e-16
+5 0 0 0 0 9 12 32 4.44089209850063e-16
+5 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 4.44089209850063e-16
+6 0 0 0 0 9 12 1 4.44089209850063e-16
+6 0 0 0 0 9 12 2 4.44089209850063e-16
+6 0 0 0 0 9 12 3 4.44089209850063e-16
+6 0 0 0 0 9 12 4 4.44089209850063e-16
+6 0 0 0 0 9 12 5 4.44089209850063e-16
+6 0 0 0 0 9 12 6 4.44089209850063e-16
+6 0 0 0 0 9 12 7 4.44089209850063e-16
+6 0 0 0 0 9 12 8 4.44089209850063e-16
+6 0 0 0 0 9 12 9 4.44089209850063e-16
+6 0 0 0 0 9 12 10 4.44089209850063e-16
+6 0 0 0 0 9 12 11 4.44089209850063e-16
+6 0 0 0 0 9 12 12 4.44089209850063e-16
+6 0 0 0 0 9 12 13 4.44089209850063e-16
+6 0 0 0 0 9 12 14 4.44089209850063e-16
+6 0 0 0 0 9 12 15 4.44089209850063e-16
+6 0 0 0 0 9 12 16 4.44089209850063e-16
+6 0 0 0 0 9 12 17 4.44089209850063e-16
+6 0 0 0 0 9 12 18 4.44089209850063e-16
+6 0 0 0 0 9 12 19 4.44089209850063e-16
+6 0 0 0 0 9 12 20 4.44089209850063e-16
+6 0 0 0 0 9 12 21 4.44089209850063e-16
+6 0 0 0 0 9 12 22 4.44089209850063e-16
+6 0 0 0 0 9 12 23 4.44089209850063e-16
+6 0 0 0 0 9 12 24 4.44089209850063e-16
+6 0 0 0 0 9 12 25 4.44089209850063e-16
+6 0 0 0 0 9 12 26 4.44089209850063e-16
+6 0 0 0 0 9 12 27 4.44089209850063e-16
+6 0 0 0 0 9 12 28 4.44089209850063e-16
+6 0 0 0 0 9 12 29 4.44089209850063e-16
+6 0 0 0 0 9 12 30 4.44089209850063e-16
+6 0 0 0 0 9 12 31 4.44089209850063e-16
+6 0 0 0 0 9 12 32 4.44089209850063e-16
+6 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_y.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_y.xl
new file mode 100644
index 000000000..d4d13f446
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_y.xl
@@ -0,0 +1,170 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -4.44089209850063e-16
+0 0 0 0 0 1 12 16 -4.44089209850063e-16
+0 0 0 0 0 2 12 16 -4.44089209850063e-16
+0 0 0 0 0 3 12 16 -4.44089209850063e-16
+0 0 0 0 0 4 12 16 -4.44089209850063e-16
+0 0 0 0 0 5 12 16 -4.44089209850063e-16
+0 0 0 0 0 6 12 16 -4.44089209850063e-16
+0 0 0 0 0 7 12 16 -4.44089209850063e-16
+0 0 0 0 0 8 12 16 -4.44089209850063e-16
+0 0 0 0 0 9 12 16 -4.44089209850063e-16
+0 0 0 0 0 10 12 16 -4.44089209850063e-16
+0 0 0 0 0 11 12 16 -4.44089209850063e-16
+0 0 0 0 0 12 12 16 -4.44089209850063e-16
+0 0 0 0 0 13 12 16 -4.44089209850063e-16
+0 0 0 0 0 14 12 16 -4.44089209850063e-16
+0 0 0 0 0 15 12 16 -4.44089209850063e-16
+0 0 0 0 0 16 12 16 -4.44089209850063e-16
+0 0 0 0 0 17 12 16 -4.44089209850063e-16
+0 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -4.44089209850063e-16
+1 0 0 0 0 1 12 16 -4.44089209850063e-16
+1 0 0 0 0 2 12 16 -4.44089209850063e-16
+1 0 0 0 0 3 12 16 -4.44089209850063e-16
+1 0 0 0 0 4 12 16 -4.44089209850063e-16
+1 0 0 0 0 5 12 16 -4.44089209850063e-16
+1 0 0 0 0 6 12 16 -4.44089209850063e-16
+1 0 0 0 0 7 12 16 -4.44089209850063e-16
+1 0 0 0 0 8 12 16 -4.44089209850063e-16
+1 0 0 0 0 9 12 16 -4.44089209850063e-16
+1 0 0 0 0 10 12 16 -4.44089209850063e-16
+1 0 0 0 0 11 12 16 -4.44089209850063e-16
+1 0 0 0 0 12 12 16 -4.44089209850063e-16
+1 0 0 0 0 13 12 16 -4.44089209850063e-16
+1 0 0 0 0 14 12 16 -4.44089209850063e-16
+1 0 0 0 0 15 12 16 -4.44089209850063e-16
+1 0 0 0 0 16 12 16 -4.44089209850063e-16
+1 0 0 0 0 17 12 16 -4.44089209850063e-16
+1 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -4.44089209850063e-16
+2 0 0 0 0 1 12 16 -4.44089209850063e-16
+2 0 0 0 0 2 12 16 -4.44089209850063e-16
+2 0 0 0 0 3 12 16 -4.44089209850063e-16
+2 0 0 0 0 4 12 16 -4.44089209850063e-16
+2 0 0 0 0 5 12 16 -4.44089209850063e-16
+2 0 0 0 0 6 12 16 -4.44089209850063e-16
+2 0 0 0 0 7 12 16 -4.44089209850063e-16
+2 0 0 0 0 8 12 16 -4.44089209850063e-16
+2 0 0 0 0 9 12 16 -4.44089209850063e-16
+2 0 0 0 0 10 12 16 -4.44089209850063e-16
+2 0 0 0 0 11 12 16 -4.44089209850063e-16
+2 0 0 0 0 12 12 16 -4.44089209850063e-16
+2 0 0 0 0 13 12 16 -4.44089209850063e-16
+2 0 0 0 0 14 12 16 -4.44089209850063e-16
+2 0 0 0 0 15 12 16 -4.44089209850063e-16
+2 0 0 0 0 16 12 16 -4.44089209850063e-16
+2 0 0 0 0 17 12 16 -4.44089209850063e-16
+2 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -4.44089209850063e-16
+3 0 0 0 0 1 12 16 -4.44089209850063e-16
+3 0 0 0 0 2 12 16 -4.44089209850063e-16
+3 0 0 0 0 3 12 16 -4.44089209850063e-16
+3 0 0 0 0 4 12 16 -4.44089209850063e-16
+3 0 0 0 0 5 12 16 -4.44089209850063e-16
+3 0 0 0 0 6 12 16 -4.44089209850063e-16
+3 0 0 0 0 7 12 16 -4.44089209850063e-16
+3 0 0 0 0 8 12 16 -4.44089209850063e-16
+3 0 0 0 0 9 12 16 -4.44089209850063e-16
+3 0 0 0 0 10 12 16 -4.44089209850063e-16
+3 0 0 0 0 11 12 16 -4.44089209850063e-16
+3 0 0 0 0 12 12 16 -4.44089209850063e-16
+3 0 0 0 0 13 12 16 -4.44089209850063e-16
+3 0 0 0 0 14 12 16 -4.44089209850063e-16
+3 0 0 0 0 15 12 16 -4.44089209850063e-16
+3 0 0 0 0 16 12 16 -4.44089209850063e-16
+3 0 0 0 0 17 12 16 -4.44089209850063e-16
+3 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -4.44089209850063e-16
+4 0 0 0 0 1 12 16 -4.44089209850063e-16
+4 0 0 0 0 2 12 16 -4.44089209850063e-16
+4 0 0 0 0 3 12 16 -4.44089209850063e-16
+4 0 0 0 0 4 12 16 -4.44089209850063e-16
+4 0 0 0 0 5 12 16 -4.44089209850063e-16
+4 0 0 0 0 6 12 16 -4.44089209850063e-16
+4 0 0 0 0 7 12 16 -4.44089209850063e-16
+4 0 0 0 0 8 12 16 -4.44089209850063e-16
+4 0 0 0 0 9 12 16 -4.44089209850063e-16
+4 0 0 0 0 10 12 16 -4.44089209850063e-16
+4 0 0 0 0 11 12 16 -4.44089209850063e-16
+4 0 0 0 0 12 12 16 -4.44089209850063e-16
+4 0 0 0 0 13 12 16 -4.44089209850063e-16
+4 0 0 0 0 14 12 16 -4.44089209850063e-16
+4 0 0 0 0 15 12 16 -4.44089209850063e-16
+4 0 0 0 0 16 12 16 -4.44089209850063e-16
+4 0 0 0 0 17 12 16 -4.44089209850063e-16
+4 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -4.44089209850063e-16
+5 0 0 0 0 1 12 16 -4.44089209850063e-16
+5 0 0 0 0 2 12 16 -4.44089209850063e-16
+5 0 0 0 0 3 12 16 -4.44089209850063e-16
+5 0 0 0 0 4 12 16 -4.44089209850063e-16
+5 0 0 0 0 5 12 16 -4.44089209850063e-16
+5 0 0 0 0 6 12 16 -4.44089209850063e-16
+5 0 0 0 0 7 12 16 -4.44089209850063e-16
+5 0 0 0 0 8 12 16 -4.44089209850063e-16
+5 0 0 0 0 9 12 16 -4.44089209850063e-16
+5 0 0 0 0 10 12 16 -4.44089209850063e-16
+5 0 0 0 0 11 12 16 -4.44089209850063e-16
+5 0 0 0 0 12 12 16 -4.44089209850063e-16
+5 0 0 0 0 13 12 16 -4.44089209850063e-16
+5 0 0 0 0 14 12 16 -4.44089209850063e-16
+5 0 0 0 0 15 12 16 -4.44089209850063e-16
+5 0 0 0 0 16 12 16 -4.44089209850063e-16
+5 0 0 0 0 17 12 16 -4.44089209850063e-16
+5 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -4.44089209850063e-16
+6 0 0 0 0 1 12 16 -4.44089209850063e-16
+6 0 0 0 0 2 12 16 -4.44089209850063e-16
+6 0 0 0 0 3 12 16 -4.44089209850063e-16
+6 0 0 0 0 4 12 16 -4.44089209850063e-16
+6 0 0 0 0 5 12 16 -4.44089209850063e-16
+6 0 0 0 0 6 12 16 -4.44089209850063e-16
+6 0 0 0 0 7 12 16 -4.44089209850063e-16
+6 0 0 0 0 8 12 16 -4.44089209850063e-16
+6 0 0 0 0 9 12 16 -4.44089209850063e-16
+6 0 0 0 0 10 12 16 -4.44089209850063e-16
+6 0 0 0 0 11 12 16 -4.44089209850063e-16
+6 0 0 0 0 12 12 16 -4.44089209850063e-16
+6 0 0 0 0 13 12 16 -4.44089209850063e-16
+6 0 0 0 0 14 12 16 -4.44089209850063e-16
+6 0 0 0 0 15 12 16 -4.44089209850063e-16
+6 0 0 0 0 16 12 16 -4.44089209850063e-16
+6 0 0 0 0 17 12 16 -4.44089209850063e-16
+6 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_y.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_y.yl
new file mode 100644
index 000000000..f9b213254
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_y.yl
@@ -0,0 +1,219 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -7.2
+0 0 0 0 0 9 1 16 -6.6
+0 0 0 0 0 9 2 16 -6
+0 0 0 0 0 9 3 16 -5.4
+0 0 0 0 0 9 4 16 -4.8
+0 0 0 0 0 9 5 16 -4.2
+0 0 0 0 0 9 6 16 -3.6
+0 0 0 0 0 9 7 16 -3
+0 0 0 0 0 9 8 16 -2.4
+0 0 0 0 0 9 9 16 -1.8
+0 0 0 0 0 9 10 16 -1.2
+0 0 0 0 0 9 11 16 -0.6
+0 0 0 0 0 9 12 16 -4.44089209850063e-16
+0 0 0 0 0 9 13 16 0.6
+0 0 0 0 0 9 14 16 1.2
+0 0 0 0 0 9 15 16 1.8
+0 0 0 0 0 9 16 16 2.4
+0 0 0 0 0 9 17 16 3
+0 0 0 0 0 9 18 16 3.6
+0 0 0 0 0 9 19 16 4.2
+0 0 0 0 0 9 20 16 4.8
+0 0 0 0 0 9 21 16 5.4
+0 0 0 0 0 9 22 16 6
+0 0 0 0 0 9 23 16 6.6
+0 0 0 0 0 9 24 16 7.2
+0 0 0 0 0 9 25 16 7.8
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 -7.2
+1 0 0 0 0 9 1 16 -6.6
+1 0 0 0 0 9 2 16 -6
+1 0 0 0 0 9 3 16 -5.4
+1 0 0 0 0 9 4 16 -4.8
+1 0 0 0 0 9 5 16 -4.2
+1 0 0 0 0 9 6 16 -3.6
+1 0 0 0 0 9 7 16 -3
+1 0 0 0 0 9 8 16 -2.4
+1 0 0 0 0 9 9 16 -1.8
+1 0 0 0 0 9 10 16 -1.2
+1 0 0 0 0 9 11 16 -0.6
+1 0 0 0 0 9 12 16 -4.44089209850063e-16
+1 0 0 0 0 9 13 16 0.6
+1 0 0 0 0 9 14 16 1.2
+1 0 0 0 0 9 15 16 1.8
+1 0 0 0 0 9 16 16 2.4
+1 0 0 0 0 9 17 16 3
+1 0 0 0 0 9 18 16 3.6
+1 0 0 0 0 9 19 16 4.2
+1 0 0 0 0 9 20 16 4.8
+1 0 0 0 0 9 21 16 5.4
+1 0 0 0 0 9 22 16 6
+1 0 0 0 0 9 23 16 6.6
+1 0 0 0 0 9 24 16 7.2
+1 0 0 0 0 9 25 16 7.8
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 -7.2
+2 0 0 0 0 9 1 16 -6.6
+2 0 0 0 0 9 2 16 -6
+2 0 0 0 0 9 3 16 -5.4
+2 0 0 0 0 9 4 16 -4.8
+2 0 0 0 0 9 5 16 -4.2
+2 0 0 0 0 9 6 16 -3.6
+2 0 0 0 0 9 7 16 -3
+2 0 0 0 0 9 8 16 -2.4
+2 0 0 0 0 9 9 16 -1.8
+2 0 0 0 0 9 10 16 -1.2
+2 0 0 0 0 9 11 16 -0.6
+2 0 0 0 0 9 12 16 -4.44089209850063e-16
+2 0 0 0 0 9 13 16 0.6
+2 0 0 0 0 9 14 16 1.2
+2 0 0 0 0 9 15 16 1.8
+2 0 0 0 0 9 16 16 2.4
+2 0 0 0 0 9 17 16 3
+2 0 0 0 0 9 18 16 3.6
+2 0 0 0 0 9 19 16 4.2
+2 0 0 0 0 9 20 16 4.8
+2 0 0 0 0 9 21 16 5.4
+2 0 0 0 0 9 22 16 6
+2 0 0 0 0 9 23 16 6.6
+2 0 0 0 0 9 24 16 7.2
+2 0 0 0 0 9 25 16 7.8
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 -7.2
+3 0 0 0 0 9 1 16 -6.6
+3 0 0 0 0 9 2 16 -6
+3 0 0 0 0 9 3 16 -5.4
+3 0 0 0 0 9 4 16 -4.8
+3 0 0 0 0 9 5 16 -4.2
+3 0 0 0 0 9 6 16 -3.6
+3 0 0 0 0 9 7 16 -3
+3 0 0 0 0 9 8 16 -2.4
+3 0 0 0 0 9 9 16 -1.8
+3 0 0 0 0 9 10 16 -1.2
+3 0 0 0 0 9 11 16 -0.6
+3 0 0 0 0 9 12 16 -4.44089209850063e-16
+3 0 0 0 0 9 13 16 0.6
+3 0 0 0 0 9 14 16 1.2
+3 0 0 0 0 9 15 16 1.8
+3 0 0 0 0 9 16 16 2.4
+3 0 0 0 0 9 17 16 3
+3 0 0 0 0 9 18 16 3.6
+3 0 0 0 0 9 19 16 4.2
+3 0 0 0 0 9 20 16 4.8
+3 0 0 0 0 9 21 16 5.4
+3 0 0 0 0 9 22 16 6
+3 0 0 0 0 9 23 16 6.6
+3 0 0 0 0 9 24 16 7.2
+3 0 0 0 0 9 25 16 7.8
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 -7.2
+4 0 0 0 0 9 1 16 -6.6
+4 0 0 0 0 9 2 16 -6
+4 0 0 0 0 9 3 16 -5.4
+4 0 0 0 0 9 4 16 -4.8
+4 0 0 0 0 9 5 16 -4.2
+4 0 0 0 0 9 6 16 -3.6
+4 0 0 0 0 9 7 16 -3
+4 0 0 0 0 9 8 16 -2.4
+4 0 0 0 0 9 9 16 -1.8
+4 0 0 0 0 9 10 16 -1.2
+4 0 0 0 0 9 11 16 -0.6
+4 0 0 0 0 9 12 16 -4.44089209850063e-16
+4 0 0 0 0 9 13 16 0.6
+4 0 0 0 0 9 14 16 1.2
+4 0 0 0 0 9 15 16 1.8
+4 0 0 0 0 9 16 16 2.4
+4 0 0 0 0 9 17 16 3
+4 0 0 0 0 9 18 16 3.6
+4 0 0 0 0 9 19 16 4.2
+4 0 0 0 0 9 20 16 4.8
+4 0 0 0 0 9 21 16 5.4
+4 0 0 0 0 9 22 16 6
+4 0 0 0 0 9 23 16 6.6
+4 0 0 0 0 9 24 16 7.2
+4 0 0 0 0 9 25 16 7.8
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 -7.2
+5 0 0 0 0 9 1 16 -6.6
+5 0 0 0 0 9 2 16 -6
+5 0 0 0 0 9 3 16 -5.4
+5 0 0 0 0 9 4 16 -4.8
+5 0 0 0 0 9 5 16 -4.2
+5 0 0 0 0 9 6 16 -3.6
+5 0 0 0 0 9 7 16 -3
+5 0 0 0 0 9 8 16 -2.4
+5 0 0 0 0 9 9 16 -1.8
+5 0 0 0 0 9 10 16 -1.2
+5 0 0 0 0 9 11 16 -0.6
+5 0 0 0 0 9 12 16 -4.44089209850063e-16
+5 0 0 0 0 9 13 16 0.6
+5 0 0 0 0 9 14 16 1.2
+5 0 0 0 0 9 15 16 1.8
+5 0 0 0 0 9 16 16 2.4
+5 0 0 0 0 9 17 16 3
+5 0 0 0 0 9 18 16 3.6
+5 0 0 0 0 9 19 16 4.2
+5 0 0 0 0 9 20 16 4.8
+5 0 0 0 0 9 21 16 5.4
+5 0 0 0 0 9 22 16 6
+5 0 0 0 0 9 23 16 6.6
+5 0 0 0 0 9 24 16 7.2
+5 0 0 0 0 9 25 16 7.8
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 -7.2
+6 0 0 0 0 9 1 16 -6.6
+6 0 0 0 0 9 2 16 -6
+6 0 0 0 0 9 3 16 -5.4
+6 0 0 0 0 9 4 16 -4.8
+6 0 0 0 0 9 5 16 -4.2
+6 0 0 0 0 9 6 16 -3.6
+6 0 0 0 0 9 7 16 -3
+6 0 0 0 0 9 8 16 -2.4
+6 0 0 0 0 9 9 16 -1.8
+6 0 0 0 0 9 10 16 -1.2
+6 0 0 0 0 9 11 16 -0.6
+6 0 0 0 0 9 12 16 -4.44089209850063e-16
+6 0 0 0 0 9 13 16 0.6
+6 0 0 0 0 9 14 16 1.2
+6 0 0 0 0 9 15 16 1.8
+6 0 0 0 0 9 16 16 2.4
+6 0 0 0 0 9 17 16 3
+6 0 0 0 0 9 18 16 3.6
+6 0 0 0 0 9 19 16 4.2
+6 0 0 0 0 9 20 16 4.8
+6 0 0 0 0 9 21 16 5.4
+6 0 0 0 0 9 22 16 6
+6 0 0 0 0 9 23 16 6.6
+6 0 0 0 0 9 24 16 7.2
+6 0 0 0 0 9 25 16 7.8
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_y.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_y.zl
new file mode 100644
index 000000000..5eb528a02
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_y.zl
@@ -0,0 +1,275 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 -4.44089209850063e-16
+0 0 0 0 0 9 12 1 -4.44089209850063e-16
+0 0 0 0 0 9 12 2 -4.44089209850063e-16
+0 0 0 0 0 9 12 3 -4.44089209850063e-16
+0 0 0 0 0 9 12 4 -4.44089209850063e-16
+0 0 0 0 0 9 12 5 -4.44089209850063e-16
+0 0 0 0 0 9 12 6 -4.44089209850063e-16
+0 0 0 0 0 9 12 7 -4.44089209850063e-16
+0 0 0 0 0 9 12 8 -4.44089209850063e-16
+0 0 0 0 0 9 12 9 -4.44089209850063e-16
+0 0 0 0 0 9 12 10 -4.44089209850063e-16
+0 0 0 0 0 9 12 11 -4.44089209850063e-16
+0 0 0 0 0 9 12 12 -4.44089209850063e-16
+0 0 0 0 0 9 12 13 -4.44089209850063e-16
+0 0 0 0 0 9 12 14 -4.44089209850063e-16
+0 0 0 0 0 9 12 15 -4.44089209850063e-16
+0 0 0 0 0 9 12 16 -4.44089209850063e-16
+0 0 0 0 0 9 12 17 -4.44089209850063e-16
+0 0 0 0 0 9 12 18 -4.44089209850063e-16
+0 0 0 0 0 9 12 19 -4.44089209850063e-16
+0 0 0 0 0 9 12 20 -4.44089209850063e-16
+0 0 0 0 0 9 12 21 -4.44089209850063e-16
+0 0 0 0 0 9 12 22 -4.44089209850063e-16
+0 0 0 0 0 9 12 23 -4.44089209850063e-16
+0 0 0 0 0 9 12 24 -4.44089209850063e-16
+0 0 0 0 0 9 12 25 -4.44089209850063e-16
+0 0 0 0 0 9 12 26 -4.44089209850063e-16
+0 0 0 0 0 9 12 27 -4.44089209850063e-16
+0 0 0 0 0 9 12 28 -4.44089209850063e-16
+0 0 0 0 0 9 12 29 -4.44089209850063e-16
+0 0 0 0 0 9 12 30 -4.44089209850063e-16
+0 0 0 0 0 9 12 31 -4.44089209850063e-16
+0 0 0 0 0 9 12 32 -4.44089209850063e-16
+0 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 -4.44089209850063e-16
+1 0 0 0 0 9 12 1 -4.44089209850063e-16
+1 0 0 0 0 9 12 2 -4.44089209850063e-16
+1 0 0 0 0 9 12 3 -4.44089209850063e-16
+1 0 0 0 0 9 12 4 -4.44089209850063e-16
+1 0 0 0 0 9 12 5 -4.44089209850063e-16
+1 0 0 0 0 9 12 6 -4.44089209850063e-16
+1 0 0 0 0 9 12 7 -4.44089209850063e-16
+1 0 0 0 0 9 12 8 -4.44089209850063e-16
+1 0 0 0 0 9 12 9 -4.44089209850063e-16
+1 0 0 0 0 9 12 10 -4.44089209850063e-16
+1 0 0 0 0 9 12 11 -4.44089209850063e-16
+1 0 0 0 0 9 12 12 -4.44089209850063e-16
+1 0 0 0 0 9 12 13 -4.44089209850063e-16
+1 0 0 0 0 9 12 14 -4.44089209850063e-16
+1 0 0 0 0 9 12 15 -4.44089209850063e-16
+1 0 0 0 0 9 12 16 -4.44089209850063e-16
+1 0 0 0 0 9 12 17 -4.44089209850063e-16
+1 0 0 0 0 9 12 18 -4.44089209850063e-16
+1 0 0 0 0 9 12 19 -4.44089209850063e-16
+1 0 0 0 0 9 12 20 -4.44089209850063e-16
+1 0 0 0 0 9 12 21 -4.44089209850063e-16
+1 0 0 0 0 9 12 22 -4.44089209850063e-16
+1 0 0 0 0 9 12 23 -4.44089209850063e-16
+1 0 0 0 0 9 12 24 -4.44089209850063e-16
+1 0 0 0 0 9 12 25 -4.44089209850063e-16
+1 0 0 0 0 9 12 26 -4.44089209850063e-16
+1 0 0 0 0 9 12 27 -4.44089209850063e-16
+1 0 0 0 0 9 12 28 -4.44089209850063e-16
+1 0 0 0 0 9 12 29 -4.44089209850063e-16
+1 0 0 0 0 9 12 30 -4.44089209850063e-16
+1 0 0 0 0 9 12 31 -4.44089209850063e-16
+1 0 0 0 0 9 12 32 -4.44089209850063e-16
+1 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 -4.44089209850063e-16
+2 0 0 0 0 9 12 1 -4.44089209850063e-16
+2 0 0 0 0 9 12 2 -4.44089209850063e-16
+2 0 0 0 0 9 12 3 -4.44089209850063e-16
+2 0 0 0 0 9 12 4 -4.44089209850063e-16
+2 0 0 0 0 9 12 5 -4.44089209850063e-16
+2 0 0 0 0 9 12 6 -4.44089209850063e-16
+2 0 0 0 0 9 12 7 -4.44089209850063e-16
+2 0 0 0 0 9 12 8 -4.44089209850063e-16
+2 0 0 0 0 9 12 9 -4.44089209850063e-16
+2 0 0 0 0 9 12 10 -4.44089209850063e-16
+2 0 0 0 0 9 12 11 -4.44089209850063e-16
+2 0 0 0 0 9 12 12 -4.44089209850063e-16
+2 0 0 0 0 9 12 13 -4.44089209850063e-16
+2 0 0 0 0 9 12 14 -4.44089209850063e-16
+2 0 0 0 0 9 12 15 -4.44089209850063e-16
+2 0 0 0 0 9 12 16 -4.44089209850063e-16
+2 0 0 0 0 9 12 17 -4.44089209850063e-16
+2 0 0 0 0 9 12 18 -4.44089209850063e-16
+2 0 0 0 0 9 12 19 -4.44089209850063e-16
+2 0 0 0 0 9 12 20 -4.44089209850063e-16
+2 0 0 0 0 9 12 21 -4.44089209850063e-16
+2 0 0 0 0 9 12 22 -4.44089209850063e-16
+2 0 0 0 0 9 12 23 -4.44089209850063e-16
+2 0 0 0 0 9 12 24 -4.44089209850063e-16
+2 0 0 0 0 9 12 25 -4.44089209850063e-16
+2 0 0 0 0 9 12 26 -4.44089209850063e-16
+2 0 0 0 0 9 12 27 -4.44089209850063e-16
+2 0 0 0 0 9 12 28 -4.44089209850063e-16
+2 0 0 0 0 9 12 29 -4.44089209850063e-16
+2 0 0 0 0 9 12 30 -4.44089209850063e-16
+2 0 0 0 0 9 12 31 -4.44089209850063e-16
+2 0 0 0 0 9 12 32 -4.44089209850063e-16
+2 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 -4.44089209850063e-16
+3 0 0 0 0 9 12 1 -4.44089209850063e-16
+3 0 0 0 0 9 12 2 -4.44089209850063e-16
+3 0 0 0 0 9 12 3 -4.44089209850063e-16
+3 0 0 0 0 9 12 4 -4.44089209850063e-16
+3 0 0 0 0 9 12 5 -4.44089209850063e-16
+3 0 0 0 0 9 12 6 -4.44089209850063e-16
+3 0 0 0 0 9 12 7 -4.44089209850063e-16
+3 0 0 0 0 9 12 8 -4.44089209850063e-16
+3 0 0 0 0 9 12 9 -4.44089209850063e-16
+3 0 0 0 0 9 12 10 -4.44089209850063e-16
+3 0 0 0 0 9 12 11 -4.44089209850063e-16
+3 0 0 0 0 9 12 12 -4.44089209850063e-16
+3 0 0 0 0 9 12 13 -4.44089209850063e-16
+3 0 0 0 0 9 12 14 -4.44089209850063e-16
+3 0 0 0 0 9 12 15 -4.44089209850063e-16
+3 0 0 0 0 9 12 16 -4.44089209850063e-16
+3 0 0 0 0 9 12 17 -4.44089209850063e-16
+3 0 0 0 0 9 12 18 -4.44089209850063e-16
+3 0 0 0 0 9 12 19 -4.44089209850063e-16
+3 0 0 0 0 9 12 20 -4.44089209850063e-16
+3 0 0 0 0 9 12 21 -4.44089209850063e-16
+3 0 0 0 0 9 12 22 -4.44089209850063e-16
+3 0 0 0 0 9 12 23 -4.44089209850063e-16
+3 0 0 0 0 9 12 24 -4.44089209850063e-16
+3 0 0 0 0 9 12 25 -4.44089209850063e-16
+3 0 0 0 0 9 12 26 -4.44089209850063e-16
+3 0 0 0 0 9 12 27 -4.44089209850063e-16
+3 0 0 0 0 9 12 28 -4.44089209850063e-16
+3 0 0 0 0 9 12 29 -4.44089209850063e-16
+3 0 0 0 0 9 12 30 -4.44089209850063e-16
+3 0 0 0 0 9 12 31 -4.44089209850063e-16
+3 0 0 0 0 9 12 32 -4.44089209850063e-16
+3 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 -4.44089209850063e-16
+4 0 0 0 0 9 12 1 -4.44089209850063e-16
+4 0 0 0 0 9 12 2 -4.44089209850063e-16
+4 0 0 0 0 9 12 3 -4.44089209850063e-16
+4 0 0 0 0 9 12 4 -4.44089209850063e-16
+4 0 0 0 0 9 12 5 -4.44089209850063e-16
+4 0 0 0 0 9 12 6 -4.44089209850063e-16
+4 0 0 0 0 9 12 7 -4.44089209850063e-16
+4 0 0 0 0 9 12 8 -4.44089209850063e-16
+4 0 0 0 0 9 12 9 -4.44089209850063e-16
+4 0 0 0 0 9 12 10 -4.44089209850063e-16
+4 0 0 0 0 9 12 11 -4.44089209850063e-16
+4 0 0 0 0 9 12 12 -4.44089209850063e-16
+4 0 0 0 0 9 12 13 -4.44089209850063e-16
+4 0 0 0 0 9 12 14 -4.44089209850063e-16
+4 0 0 0 0 9 12 15 -4.44089209850063e-16
+4 0 0 0 0 9 12 16 -4.44089209850063e-16
+4 0 0 0 0 9 12 17 -4.44089209850063e-16
+4 0 0 0 0 9 12 18 -4.44089209850063e-16
+4 0 0 0 0 9 12 19 -4.44089209850063e-16
+4 0 0 0 0 9 12 20 -4.44089209850063e-16
+4 0 0 0 0 9 12 21 -4.44089209850063e-16
+4 0 0 0 0 9 12 22 -4.44089209850063e-16
+4 0 0 0 0 9 12 23 -4.44089209850063e-16
+4 0 0 0 0 9 12 24 -4.44089209850063e-16
+4 0 0 0 0 9 12 25 -4.44089209850063e-16
+4 0 0 0 0 9 12 26 -4.44089209850063e-16
+4 0 0 0 0 9 12 27 -4.44089209850063e-16
+4 0 0 0 0 9 12 28 -4.44089209850063e-16
+4 0 0 0 0 9 12 29 -4.44089209850063e-16
+4 0 0 0 0 9 12 30 -4.44089209850063e-16
+4 0 0 0 0 9 12 31 -4.44089209850063e-16
+4 0 0 0 0 9 12 32 -4.44089209850063e-16
+4 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 -4.44089209850063e-16
+5 0 0 0 0 9 12 1 -4.44089209850063e-16
+5 0 0 0 0 9 12 2 -4.44089209850063e-16
+5 0 0 0 0 9 12 3 -4.44089209850063e-16
+5 0 0 0 0 9 12 4 -4.44089209850063e-16
+5 0 0 0 0 9 12 5 -4.44089209850063e-16
+5 0 0 0 0 9 12 6 -4.44089209850063e-16
+5 0 0 0 0 9 12 7 -4.44089209850063e-16
+5 0 0 0 0 9 12 8 -4.44089209850063e-16
+5 0 0 0 0 9 12 9 -4.44089209850063e-16
+5 0 0 0 0 9 12 10 -4.44089209850063e-16
+5 0 0 0 0 9 12 11 -4.44089209850063e-16
+5 0 0 0 0 9 12 12 -4.44089209850063e-16
+5 0 0 0 0 9 12 13 -4.44089209850063e-16
+5 0 0 0 0 9 12 14 -4.44089209850063e-16
+5 0 0 0 0 9 12 15 -4.44089209850063e-16
+5 0 0 0 0 9 12 16 -4.44089209850063e-16
+5 0 0 0 0 9 12 17 -4.44089209850063e-16
+5 0 0 0 0 9 12 18 -4.44089209850063e-16
+5 0 0 0 0 9 12 19 -4.44089209850063e-16
+5 0 0 0 0 9 12 20 -4.44089209850063e-16
+5 0 0 0 0 9 12 21 -4.44089209850063e-16
+5 0 0 0 0 9 12 22 -4.44089209850063e-16
+5 0 0 0 0 9 12 23 -4.44089209850063e-16
+5 0 0 0 0 9 12 24 -4.44089209850063e-16
+5 0 0 0 0 9 12 25 -4.44089209850063e-16
+5 0 0 0 0 9 12 26 -4.44089209850063e-16
+5 0 0 0 0 9 12 27 -4.44089209850063e-16
+5 0 0 0 0 9 12 28 -4.44089209850063e-16
+5 0 0 0 0 9 12 29 -4.44089209850063e-16
+5 0 0 0 0 9 12 30 -4.44089209850063e-16
+5 0 0 0 0 9 12 31 -4.44089209850063e-16
+5 0 0 0 0 9 12 32 -4.44089209850063e-16
+5 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 -4.44089209850063e-16
+6 0 0 0 0 9 12 1 -4.44089209850063e-16
+6 0 0 0 0 9 12 2 -4.44089209850063e-16
+6 0 0 0 0 9 12 3 -4.44089209850063e-16
+6 0 0 0 0 9 12 4 -4.44089209850063e-16
+6 0 0 0 0 9 12 5 -4.44089209850063e-16
+6 0 0 0 0 9 12 6 -4.44089209850063e-16
+6 0 0 0 0 9 12 7 -4.44089209850063e-16
+6 0 0 0 0 9 12 8 -4.44089209850063e-16
+6 0 0 0 0 9 12 9 -4.44089209850063e-16
+6 0 0 0 0 9 12 10 -4.44089209850063e-16
+6 0 0 0 0 9 12 11 -4.44089209850063e-16
+6 0 0 0 0 9 12 12 -4.44089209850063e-16
+6 0 0 0 0 9 12 13 -4.44089209850063e-16
+6 0 0 0 0 9 12 14 -4.44089209850063e-16
+6 0 0 0 0 9 12 15 -4.44089209850063e-16
+6 0 0 0 0 9 12 16 -4.44089209850063e-16
+6 0 0 0 0 9 12 17 -4.44089209850063e-16
+6 0 0 0 0 9 12 18 -4.44089209850063e-16
+6 0 0 0 0 9 12 19 -4.44089209850063e-16
+6 0 0 0 0 9 12 20 -4.44089209850063e-16
+6 0 0 0 0 9 12 21 -4.44089209850063e-16
+6 0 0 0 0 9 12 22 -4.44089209850063e-16
+6 0 0 0 0 9 12 23 -4.44089209850063e-16
+6 0 0 0 0 9 12 24 -4.44089209850063e-16
+6 0 0 0 0 9 12 25 -4.44089209850063e-16
+6 0 0 0 0 9 12 26 -4.44089209850063e-16
+6 0 0 0 0 9 12 27 -4.44089209850063e-16
+6 0 0 0 0 9 12 28 -4.44089209850063e-16
+6 0 0 0 0 9 12 29 -4.44089209850063e-16
+6 0 0 0 0 9 12 30 -4.44089209850063e-16
+6 0 0 0 0 9 12 31 -4.44089209850063e-16
+6 0 0 0 0 9 12 32 -4.44089209850063e-16
+6 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_z.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_z.xl
new file mode 100644
index 000000000..ec487ca98
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_z.xl
@@ -0,0 +1,170 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 0
+0 0 0 0 0 1 12 16 0
+0 0 0 0 0 2 12 16 0
+0 0 0 0 0 3 12 16 0
+0 0 0 0 0 4 12 16 0
+0 0 0 0 0 5 12 16 0
+0 0 0 0 0 6 12 16 0
+0 0 0 0 0 7 12 16 0
+0 0 0 0 0 8 12 16 0
+0 0 0 0 0 9 12 16 0
+0 0 0 0 0 10 12 16 0
+0 0 0 0 0 11 12 16 0
+0 0 0 0 0 12 12 16 0
+0 0 0 0 0 13 12 16 0
+0 0 0 0 0 14 12 16 0
+0 0 0 0 0 15 12 16 0
+0 0 0 0 0 16 12 16 0
+0 0 0 0 0 17 12 16 0
+0 0 0 0 0 18 12 16 0
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 0
+1 0 0 0 0 1 12 16 0
+1 0 0 0 0 2 12 16 0
+1 0 0 0 0 3 12 16 0
+1 0 0 0 0 4 12 16 0
+1 0 0 0 0 5 12 16 0
+1 0 0 0 0 6 12 16 0
+1 0 0 0 0 7 12 16 0
+1 0 0 0 0 8 12 16 0
+1 0 0 0 0 9 12 16 0
+1 0 0 0 0 10 12 16 0
+1 0 0 0 0 11 12 16 0
+1 0 0 0 0 12 12 16 0
+1 0 0 0 0 13 12 16 0
+1 0 0 0 0 14 12 16 0
+1 0 0 0 0 15 12 16 0
+1 0 0 0 0 16 12 16 0
+1 0 0 0 0 17 12 16 0
+1 0 0 0 0 18 12 16 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 0
+2 0 0 0 0 1 12 16 0
+2 0 0 0 0 2 12 16 0
+2 0 0 0 0 3 12 16 0
+2 0 0 0 0 4 12 16 0
+2 0 0 0 0 5 12 16 0
+2 0 0 0 0 6 12 16 0
+2 0 0 0 0 7 12 16 0
+2 0 0 0 0 8 12 16 0
+2 0 0 0 0 9 12 16 0
+2 0 0 0 0 10 12 16 0
+2 0 0 0 0 11 12 16 0
+2 0 0 0 0 12 12 16 0
+2 0 0 0 0 13 12 16 0
+2 0 0 0 0 14 12 16 0
+2 0 0 0 0 15 12 16 0
+2 0 0 0 0 16 12 16 0
+2 0 0 0 0 17 12 16 0
+2 0 0 0 0 18 12 16 0
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 0
+3 0 0 0 0 1 12 16 0
+3 0 0 0 0 2 12 16 0
+3 0 0 0 0 3 12 16 0
+3 0 0 0 0 4 12 16 0
+3 0 0 0 0 5 12 16 0
+3 0 0 0 0 6 12 16 0
+3 0 0 0 0 7 12 16 0
+3 0 0 0 0 8 12 16 0
+3 0 0 0 0 9 12 16 0
+3 0 0 0 0 10 12 16 0
+3 0 0 0 0 11 12 16 0
+3 0 0 0 0 12 12 16 0
+3 0 0 0 0 13 12 16 0
+3 0 0 0 0 14 12 16 0
+3 0 0 0 0 15 12 16 0
+3 0 0 0 0 16 12 16 0
+3 0 0 0 0 17 12 16 0
+3 0 0 0 0 18 12 16 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 0
+4 0 0 0 0 1 12 16 0
+4 0 0 0 0 2 12 16 0
+4 0 0 0 0 3 12 16 0
+4 0 0 0 0 4 12 16 0
+4 0 0 0 0 5 12 16 0
+4 0 0 0 0 6 12 16 0
+4 0 0 0 0 7 12 16 0
+4 0 0 0 0 8 12 16 0
+4 0 0 0 0 9 12 16 0
+4 0 0 0 0 10 12 16 0
+4 0 0 0 0 11 12 16 0
+4 0 0 0 0 12 12 16 0
+4 0 0 0 0 13 12 16 0
+4 0 0 0 0 14 12 16 0
+4 0 0 0 0 15 12 16 0
+4 0 0 0 0 16 12 16 0
+4 0 0 0 0 17 12 16 0
+4 0 0 0 0 18 12 16 0
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 0
+5 0 0 0 0 1 12 16 0
+5 0 0 0 0 2 12 16 0
+5 0 0 0 0 3 12 16 0
+5 0 0 0 0 4 12 16 0
+5 0 0 0 0 5 12 16 0
+5 0 0 0 0 6 12 16 0
+5 0 0 0 0 7 12 16 0
+5 0 0 0 0 8 12 16 0
+5 0 0 0 0 9 12 16 0
+5 0 0 0 0 10 12 16 0
+5 0 0 0 0 11 12 16 0
+5 0 0 0 0 12 12 16 0
+5 0 0 0 0 13 12 16 0
+5 0 0 0 0 14 12 16 0
+5 0 0 0 0 15 12 16 0
+5 0 0 0 0 16 12 16 0
+5 0 0 0 0 17 12 16 0
+5 0 0 0 0 18 12 16 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 0
+6 0 0 0 0 1 12 16 0
+6 0 0 0 0 2 12 16 0
+6 0 0 0 0 3 12 16 0
+6 0 0 0 0 4 12 16 0
+6 0 0 0 0 5 12 16 0
+6 0 0 0 0 6 12 16 0
+6 0 0 0 0 7 12 16 0
+6 0 0 0 0 8 12 16 0
+6 0 0 0 0 9 12 16 0
+6 0 0 0 0 10 12 16 0
+6 0 0 0 0 11 12 16 0
+6 0 0 0 0 12 12 16 0
+6 0 0 0 0 13 12 16 0
+6 0 0 0 0 14 12 16 0
+6 0 0 0 0 15 12 16 0
+6 0 0 0 0 16 12 16 0
+6 0 0 0 0 17 12 16 0
+6 0 0 0 0 18 12 16 0
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_z.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_z.yl
new file mode 100644
index 000000000..c52bfeb8e
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_z.yl
@@ -0,0 +1,219 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 0
+0 0 0 0 0 9 1 16 0
+0 0 0 0 0 9 2 16 0
+0 0 0 0 0 9 3 16 0
+0 0 0 0 0 9 4 16 0
+0 0 0 0 0 9 5 16 0
+0 0 0 0 0 9 6 16 0
+0 0 0 0 0 9 7 16 0
+0 0 0 0 0 9 8 16 0
+0 0 0 0 0 9 9 16 0
+0 0 0 0 0 9 10 16 0
+0 0 0 0 0 9 11 16 0
+0 0 0 0 0 9 12 16 0
+0 0 0 0 0 9 13 16 0
+0 0 0 0 0 9 14 16 0
+0 0 0 0 0 9 15 16 0
+0 0 0 0 0 9 16 16 0
+0 0 0 0 0 9 17 16 0
+0 0 0 0 0 9 18 16 0
+0 0 0 0 0 9 19 16 0
+0 0 0 0 0 9 20 16 0
+0 0 0 0 0 9 21 16 0
+0 0 0 0 0 9 22 16 0
+0 0 0 0 0 9 23 16 0
+0 0 0 0 0 9 24 16 0
+0 0 0 0 0 9 25 16 0
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 0
+1 0 0 0 0 9 1 16 0
+1 0 0 0 0 9 2 16 0
+1 0 0 0 0 9 3 16 0
+1 0 0 0 0 9 4 16 0
+1 0 0 0 0 9 5 16 0
+1 0 0 0 0 9 6 16 0
+1 0 0 0 0 9 7 16 0
+1 0 0 0 0 9 8 16 0
+1 0 0 0 0 9 9 16 0
+1 0 0 0 0 9 10 16 0
+1 0 0 0 0 9 11 16 0
+1 0 0 0 0 9 12 16 0
+1 0 0 0 0 9 13 16 0
+1 0 0 0 0 9 14 16 0
+1 0 0 0 0 9 15 16 0
+1 0 0 0 0 9 16 16 0
+1 0 0 0 0 9 17 16 0
+1 0 0 0 0 9 18 16 0
+1 0 0 0 0 9 19 16 0
+1 0 0 0 0 9 20 16 0
+1 0 0 0 0 9 21 16 0
+1 0 0 0 0 9 22 16 0
+1 0 0 0 0 9 23 16 0
+1 0 0 0 0 9 24 16 0
+1 0 0 0 0 9 25 16 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 0
+2 0 0 0 0 9 1 16 0
+2 0 0 0 0 9 2 16 0
+2 0 0 0 0 9 3 16 0
+2 0 0 0 0 9 4 16 0
+2 0 0 0 0 9 5 16 0
+2 0 0 0 0 9 6 16 0
+2 0 0 0 0 9 7 16 0
+2 0 0 0 0 9 8 16 0
+2 0 0 0 0 9 9 16 0
+2 0 0 0 0 9 10 16 0
+2 0 0 0 0 9 11 16 0
+2 0 0 0 0 9 12 16 0
+2 0 0 0 0 9 13 16 0
+2 0 0 0 0 9 14 16 0
+2 0 0 0 0 9 15 16 0
+2 0 0 0 0 9 16 16 0
+2 0 0 0 0 9 17 16 0
+2 0 0 0 0 9 18 16 0
+2 0 0 0 0 9 19 16 0
+2 0 0 0 0 9 20 16 0
+2 0 0 0 0 9 21 16 0
+2 0 0 0 0 9 22 16 0
+2 0 0 0 0 9 23 16 0
+2 0 0 0 0 9 24 16 0
+2 0 0 0 0 9 25 16 0
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 0
+3 0 0 0 0 9 1 16 0
+3 0 0 0 0 9 2 16 0
+3 0 0 0 0 9 3 16 0
+3 0 0 0 0 9 4 16 0
+3 0 0 0 0 9 5 16 0
+3 0 0 0 0 9 6 16 0
+3 0 0 0 0 9 7 16 0
+3 0 0 0 0 9 8 16 0
+3 0 0 0 0 9 9 16 0
+3 0 0 0 0 9 10 16 0
+3 0 0 0 0 9 11 16 0
+3 0 0 0 0 9 12 16 0
+3 0 0 0 0 9 13 16 0
+3 0 0 0 0 9 14 16 0
+3 0 0 0 0 9 15 16 0
+3 0 0 0 0 9 16 16 0
+3 0 0 0 0 9 17 16 0
+3 0 0 0 0 9 18 16 0
+3 0 0 0 0 9 19 16 0
+3 0 0 0 0 9 20 16 0
+3 0 0 0 0 9 21 16 0
+3 0 0 0 0 9 22 16 0
+3 0 0 0 0 9 23 16 0
+3 0 0 0 0 9 24 16 0
+3 0 0 0 0 9 25 16 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 0
+4 0 0 0 0 9 1 16 0
+4 0 0 0 0 9 2 16 0
+4 0 0 0 0 9 3 16 0
+4 0 0 0 0 9 4 16 0
+4 0 0 0 0 9 5 16 0
+4 0 0 0 0 9 6 16 0
+4 0 0 0 0 9 7 16 0
+4 0 0 0 0 9 8 16 0
+4 0 0 0 0 9 9 16 0
+4 0 0 0 0 9 10 16 0
+4 0 0 0 0 9 11 16 0
+4 0 0 0 0 9 12 16 0
+4 0 0 0 0 9 13 16 0
+4 0 0 0 0 9 14 16 0
+4 0 0 0 0 9 15 16 0
+4 0 0 0 0 9 16 16 0
+4 0 0 0 0 9 17 16 0
+4 0 0 0 0 9 18 16 0
+4 0 0 0 0 9 19 16 0
+4 0 0 0 0 9 20 16 0
+4 0 0 0 0 9 21 16 0
+4 0 0 0 0 9 22 16 0
+4 0 0 0 0 9 23 16 0
+4 0 0 0 0 9 24 16 0
+4 0 0 0 0 9 25 16 0
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 0
+5 0 0 0 0 9 1 16 0
+5 0 0 0 0 9 2 16 0
+5 0 0 0 0 9 3 16 0
+5 0 0 0 0 9 4 16 0
+5 0 0 0 0 9 5 16 0
+5 0 0 0 0 9 6 16 0
+5 0 0 0 0 9 7 16 0
+5 0 0 0 0 9 8 16 0
+5 0 0 0 0 9 9 16 0
+5 0 0 0 0 9 10 16 0
+5 0 0 0 0 9 11 16 0
+5 0 0 0 0 9 12 16 0
+5 0 0 0 0 9 13 16 0
+5 0 0 0 0 9 14 16 0
+5 0 0 0 0 9 15 16 0
+5 0 0 0 0 9 16 16 0
+5 0 0 0 0 9 17 16 0
+5 0 0 0 0 9 18 16 0
+5 0 0 0 0 9 19 16 0
+5 0 0 0 0 9 20 16 0
+5 0 0 0 0 9 21 16 0
+5 0 0 0 0 9 22 16 0
+5 0 0 0 0 9 23 16 0
+5 0 0 0 0 9 24 16 0
+5 0 0 0 0 9 25 16 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 0
+6 0 0 0 0 9 1 16 0
+6 0 0 0 0 9 2 16 0
+6 0 0 0 0 9 3 16 0
+6 0 0 0 0 9 4 16 0
+6 0 0 0 0 9 5 16 0
+6 0 0 0 0 9 6 16 0
+6 0 0 0 0 9 7 16 0
+6 0 0 0 0 9 8 16 0
+6 0 0 0 0 9 9 16 0
+6 0 0 0 0 9 10 16 0
+6 0 0 0 0 9 11 16 0
+6 0 0 0 0 9 12 16 0
+6 0 0 0 0 9 13 16 0
+6 0 0 0 0 9 14 16 0
+6 0 0 0 0 9 15 16 0
+6 0 0 0 0 9 16 16 0
+6 0 0 0 0 9 17 16 0
+6 0 0 0 0 9 18 16 0
+6 0 0 0 0 9 19 16 0
+6 0 0 0 0 9 20 16 0
+6 0 0 0 0 9 21 16 0
+6 0 0 0 0 9 22 16 0
+6 0 0 0 0 9 23 16 0
+6 0 0 0 0 9 24 16 0
+6 0 0 0 0 9 25 16 0
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_z.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_z.zl
new file mode 100644
index 000000000..53d0c0b35
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/cart3d_z.zl
@@ -0,0 +1,275 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 -9.6
+0 0 0 0 0 9 12 1 -9
+0 0 0 0 0 9 12 2 -8.4
+0 0 0 0 0 9 12 3 -7.8
+0 0 0 0 0 9 12 4 -7.2
+0 0 0 0 0 9 12 5 -6.6
+0 0 0 0 0 9 12 6 -6
+0 0 0 0 0 9 12 7 -5.4
+0 0 0 0 0 9 12 8 -4.8
+0 0 0 0 0 9 12 9 -4.2
+0 0 0 0 0 9 12 10 -3.6
+0 0 0 0 0 9 12 11 -3
+0 0 0 0 0 9 12 12 -2.4
+0 0 0 0 0 9 12 13 -1.8
+0 0 0 0 0 9 12 14 -1.2
+0 0 0 0 0 9 12 15 -0.6
+0 0 0 0 0 9 12 16 0
+0 0 0 0 0 9 12 17 0.6
+0 0 0 0 0 9 12 18 1.2
+0 0 0 0 0 9 12 19 1.8
+0 0 0 0 0 9 12 20 2.4
+0 0 0 0 0 9 12 21 3
+0 0 0 0 0 9 12 22 3.6
+0 0 0 0 0 9 12 23 4.2
+0 0 0 0 0 9 12 24 4.8
+0 0 0 0 0 9 12 25 5.4
+0 0 0 0 0 9 12 26 6
+0 0 0 0 0 9 12 27 6.6
+0 0 0 0 0 9 12 28 7.2
+0 0 0 0 0 9 12 29 7.8
+0 0 0 0 0 9 12 30 8.4
+0 0 0 0 0 9 12 31 9
+0 0 0 0 0 9 12 32 9.6
+0 0 0 0 0 9 12 33 10.2
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 -9.6
+1 0 0 0 0 9 12 1 -9
+1 0 0 0 0 9 12 2 -8.4
+1 0 0 0 0 9 12 3 -7.8
+1 0 0 0 0 9 12 4 -7.2
+1 0 0 0 0 9 12 5 -6.6
+1 0 0 0 0 9 12 6 -6
+1 0 0 0 0 9 12 7 -5.4
+1 0 0 0 0 9 12 8 -4.8
+1 0 0 0 0 9 12 9 -4.2
+1 0 0 0 0 9 12 10 -3.6
+1 0 0 0 0 9 12 11 -3
+1 0 0 0 0 9 12 12 -2.4
+1 0 0 0 0 9 12 13 -1.8
+1 0 0 0 0 9 12 14 -1.2
+1 0 0 0 0 9 12 15 -0.6
+1 0 0 0 0 9 12 16 0
+1 0 0 0 0 9 12 17 0.6
+1 0 0 0 0 9 12 18 1.2
+1 0 0 0 0 9 12 19 1.8
+1 0 0 0 0 9 12 20 2.4
+1 0 0 0 0 9 12 21 3
+1 0 0 0 0 9 12 22 3.6
+1 0 0 0 0 9 12 23 4.2
+1 0 0 0 0 9 12 24 4.8
+1 0 0 0 0 9 12 25 5.4
+1 0 0 0 0 9 12 26 6
+1 0 0 0 0 9 12 27 6.6
+1 0 0 0 0 9 12 28 7.2
+1 0 0 0 0 9 12 29 7.8
+1 0 0 0 0 9 12 30 8.4
+1 0 0 0 0 9 12 31 9
+1 0 0 0 0 9 12 32 9.6
+1 0 0 0 0 9 12 33 10.2
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 -9.6
+2 0 0 0 0 9 12 1 -9
+2 0 0 0 0 9 12 2 -8.4
+2 0 0 0 0 9 12 3 -7.8
+2 0 0 0 0 9 12 4 -7.2
+2 0 0 0 0 9 12 5 -6.6
+2 0 0 0 0 9 12 6 -6
+2 0 0 0 0 9 12 7 -5.4
+2 0 0 0 0 9 12 8 -4.8
+2 0 0 0 0 9 12 9 -4.2
+2 0 0 0 0 9 12 10 -3.6
+2 0 0 0 0 9 12 11 -3
+2 0 0 0 0 9 12 12 -2.4
+2 0 0 0 0 9 12 13 -1.8
+2 0 0 0 0 9 12 14 -1.2
+2 0 0 0 0 9 12 15 -0.6
+2 0 0 0 0 9 12 16 0
+2 0 0 0 0 9 12 17 0.6
+2 0 0 0 0 9 12 18 1.2
+2 0 0 0 0 9 12 19 1.8
+2 0 0 0 0 9 12 20 2.4
+2 0 0 0 0 9 12 21 3
+2 0 0 0 0 9 12 22 3.6
+2 0 0 0 0 9 12 23 4.2
+2 0 0 0 0 9 12 24 4.8
+2 0 0 0 0 9 12 25 5.4
+2 0 0 0 0 9 12 26 6
+2 0 0 0 0 9 12 27 6.6
+2 0 0 0 0 9 12 28 7.2
+2 0 0 0 0 9 12 29 7.8
+2 0 0 0 0 9 12 30 8.4
+2 0 0 0 0 9 12 31 9
+2 0 0 0 0 9 12 32 9.6
+2 0 0 0 0 9 12 33 10.2
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 -9.6
+3 0 0 0 0 9 12 1 -9
+3 0 0 0 0 9 12 2 -8.4
+3 0 0 0 0 9 12 3 -7.8
+3 0 0 0 0 9 12 4 -7.2
+3 0 0 0 0 9 12 5 -6.6
+3 0 0 0 0 9 12 6 -6
+3 0 0 0 0 9 12 7 -5.4
+3 0 0 0 0 9 12 8 -4.8
+3 0 0 0 0 9 12 9 -4.2
+3 0 0 0 0 9 12 10 -3.6
+3 0 0 0 0 9 12 11 -3
+3 0 0 0 0 9 12 12 -2.4
+3 0 0 0 0 9 12 13 -1.8
+3 0 0 0 0 9 12 14 -1.2
+3 0 0 0 0 9 12 15 -0.6
+3 0 0 0 0 9 12 16 0
+3 0 0 0 0 9 12 17 0.6
+3 0 0 0 0 9 12 18 1.2
+3 0 0 0 0 9 12 19 1.8
+3 0 0 0 0 9 12 20 2.4
+3 0 0 0 0 9 12 21 3
+3 0 0 0 0 9 12 22 3.6
+3 0 0 0 0 9 12 23 4.2
+3 0 0 0 0 9 12 24 4.8
+3 0 0 0 0 9 12 25 5.4
+3 0 0 0 0 9 12 26 6
+3 0 0 0 0 9 12 27 6.6
+3 0 0 0 0 9 12 28 7.2
+3 0 0 0 0 9 12 29 7.8
+3 0 0 0 0 9 12 30 8.4
+3 0 0 0 0 9 12 31 9
+3 0 0 0 0 9 12 32 9.6
+3 0 0 0 0 9 12 33 10.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 -9.6
+4 0 0 0 0 9 12 1 -9
+4 0 0 0 0 9 12 2 -8.4
+4 0 0 0 0 9 12 3 -7.8
+4 0 0 0 0 9 12 4 -7.2
+4 0 0 0 0 9 12 5 -6.6
+4 0 0 0 0 9 12 6 -6
+4 0 0 0 0 9 12 7 -5.4
+4 0 0 0 0 9 12 8 -4.8
+4 0 0 0 0 9 12 9 -4.2
+4 0 0 0 0 9 12 10 -3.6
+4 0 0 0 0 9 12 11 -3
+4 0 0 0 0 9 12 12 -2.4
+4 0 0 0 0 9 12 13 -1.8
+4 0 0 0 0 9 12 14 -1.2
+4 0 0 0 0 9 12 15 -0.6
+4 0 0 0 0 9 12 16 0
+4 0 0 0 0 9 12 17 0.6
+4 0 0 0 0 9 12 18 1.2
+4 0 0 0 0 9 12 19 1.8
+4 0 0 0 0 9 12 20 2.4
+4 0 0 0 0 9 12 21 3
+4 0 0 0 0 9 12 22 3.6
+4 0 0 0 0 9 12 23 4.2
+4 0 0 0 0 9 12 24 4.8
+4 0 0 0 0 9 12 25 5.4
+4 0 0 0 0 9 12 26 6
+4 0 0 0 0 9 12 27 6.6
+4 0 0 0 0 9 12 28 7.2
+4 0 0 0 0 9 12 29 7.8
+4 0 0 0 0 9 12 30 8.4
+4 0 0 0 0 9 12 31 9
+4 0 0 0 0 9 12 32 9.6
+4 0 0 0 0 9 12 33 10.2
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 -9.6
+5 0 0 0 0 9 12 1 -9
+5 0 0 0 0 9 12 2 -8.4
+5 0 0 0 0 9 12 3 -7.8
+5 0 0 0 0 9 12 4 -7.2
+5 0 0 0 0 9 12 5 -6.6
+5 0 0 0 0 9 12 6 -6
+5 0 0 0 0 9 12 7 -5.4
+5 0 0 0 0 9 12 8 -4.8
+5 0 0 0 0 9 12 9 -4.2
+5 0 0 0 0 9 12 10 -3.6
+5 0 0 0 0 9 12 11 -3
+5 0 0 0 0 9 12 12 -2.4
+5 0 0 0 0 9 12 13 -1.8
+5 0 0 0 0 9 12 14 -1.2
+5 0 0 0 0 9 12 15 -0.6
+5 0 0 0 0 9 12 16 0
+5 0 0 0 0 9 12 17 0.6
+5 0 0 0 0 9 12 18 1.2
+5 0 0 0 0 9 12 19 1.8
+5 0 0 0 0 9 12 20 2.4
+5 0 0 0 0 9 12 21 3
+5 0 0 0 0 9 12 22 3.6
+5 0 0 0 0 9 12 23 4.2
+5 0 0 0 0 9 12 24 4.8
+5 0 0 0 0 9 12 25 5.4
+5 0 0 0 0 9 12 26 6
+5 0 0 0 0 9 12 27 6.6
+5 0 0 0 0 9 12 28 7.2
+5 0 0 0 0 9 12 29 7.8
+5 0 0 0 0 9 12 30 8.4
+5 0 0 0 0 9 12 31 9
+5 0 0 0 0 9 12 32 9.6
+5 0 0 0 0 9 12 33 10.2
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 -9.6
+6 0 0 0 0 9 12 1 -9
+6 0 0 0 0 9 12 2 -8.4
+6 0 0 0 0 9 12 3 -7.8
+6 0 0 0 0 9 12 4 -7.2
+6 0 0 0 0 9 12 5 -6.6
+6 0 0 0 0 9 12 6 -6
+6 0 0 0 0 9 12 7 -5.4
+6 0 0 0 0 9 12 8 -4.8
+6 0 0 0 0 9 12 9 -4.2
+6 0 0 0 0 9 12 10 -3.6
+6 0 0 0 0 9 12 11 -3
+6 0 0 0 0 9 12 12 -2.4
+6 0 0 0 0 9 12 13 -1.8
+6 0 0 0 0 9 12 14 -1.2
+6 0 0 0 0 9 12 15 -0.6
+6 0 0 0 0 9 12 16 0
+6 0 0 0 0 9 12 17 0.6
+6 0 0 0 0 9 12 18 1.2
+6 0 0 0 0 9 12 19 1.8
+6 0 0 0 0 9 12 20 2.4
+6 0 0 0 0 9 12 21 3
+6 0 0 0 0 9 12 22 3.6
+6 0 0 0 0 9 12 23 4.2
+6 0 0 0 0 9 12 24 4.8
+6 0 0 0 0 9 12 25 5.4
+6 0 0 0 0 9 12 26 6
+6 0 0 0 0 9 12 27 6.6
+6 0 0 0 0 9 12 28 7.2
+6 0 0 0 0 9 12 29 7.8
+6 0 0 0 0 9 12 30 8.4
+6 0 0 0 0 9 12 31 9
+6 0 0 0 0 9 12 32 9.6
+6 0 0 0 0 9 12 33 10.2
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/phi.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/phi.xl
new file mode 100644
index 000000000..ea4940920
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/phi.xl
@@ -0,0 +1,170 @@
+# SPACETIMETOY::phi x (phi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -0.80901699437495
+0 0 0 0 0 1 12 16 -0.978147600733806
+0 0 0 0 0 2 12 16 -0.978147600733805
+0 0 0 0 0 3 12 16 -0.809016994374946
+0 0 0 0 0 4 12 16 -0.499999999999998
+0 0 0 0 0 5 12 16 -0.104528463267652
+0 0 0 0 0 6 12 16 0.309016994374949
+0 0 0 0 0 7 12 16 0.669130606358859
+0 0 0 0 0 8 12 16 0.913545457642601
+0 0 0 0 0 9 12 16 1
+0 0 0 0 0 10 12 16 0.913545457642601
+0 0 0 0 0 11 12 16 0.669130606358859
+0 0 0 0 0 12 12 16 0.309016994374948
+0 0 0 0 0 13 12 16 -0.104528463267652
+0 0 0 0 0 14 12 16 -0.499999999999998
+0 0 0 0 0 15 12 16 -0.809016994374946
+0 0 0 0 0 16 12 16 -0.978147600733805
+0 0 0 0 0 17 12 16 -0.978147600733806
+0 0 0 0 0 18 12 16 -0.809016994374949
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -0.960194313182036
+1 0 0 0 0 1 12 16 -1.00002486298069
+1 0 0 0 0 2 12 16 -0.866942029029302
+1 0 0 0 0 3 12 16 -0.583957042337672
+1 0 0 0 0 4 12 16 -0.200000577942675
+1 0 0 0 0 5 12 16 0.218537803326821
+1 0 0 0 0 6 12 16 0.599289013047494
+1 0 0 0 0 7 12 16 0.87641770804249
+1 0 0 0 0 8 12 16 1.00200581931202
+1 0 0 0 0 9 12 16 0.954338021485404
+1 0 0 0 0 10 12 16 0.741656509855217
+1 0 0 0 0 11 12 16 0.400735849933194
+1 0 0 0 0 12 12 16 -0.00947567901318476
+1 0 0 0 0 13 12 16 -0.418048776974342
+1 0 0 0 0 14 12 16 -0.754337443542726
+1 0 0 0 0 15 12 16 -0.960194313182036
+1 0 0 0 0 16 12 16 -1.00002486298069
+1 0 0 0 0 17 12 16 -0.866942029029302
+1 0 0 0 0 18 12 16 -0.583957042337672
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -1.01261353571613
+2 0 0 0 0 1 12 16 -0.918429341288023
+2 0 0 0 0 2 12 16 -0.665440370082583
+2 0 0 0 0 3 12 16 -0.297390713553889
+2 0 0 0 0 4 12 16 0.122080499058089
+2 0 0 0 0 5 12 16 0.520442884316407
+2 0 0 0 0 6 12 16 0.828815966801245
+2 0 0 0 0 7 12 16 0.99387923906947
+2 0 0 0 0 8 12 16 0.987091761793153
+2 0 0 0 0 9 12 16 0.809627151455664
+2 0 0 0 0 10 12 16 0.492170651399728
+2 0 0 0 0 11 12 16 0.0896133744867786
+2 0 0 0 0 12 12 16 -0.328438868986884
+2 0 0 0 0 13 12 16 -0.689701048239261
+2 0 0 0 0 14 12 16 -0.931707650513751
+2 0 0 0 0 15 12 16 -1.01261353571613
+2 0 0 0 0 16 12 16 -0.918429341288023
+2 0 0 0 0 17 12 16 -0.665440370082583
+2 0 0 0 0 18 12 16 -0.297390713553889
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -0.960389833949881
+3 0 0 0 0 1 12 16 -0.741330886870471
+3 0 0 0 0 2 12 16 -0.394089094671478
+3 0 0 0 0 3 12 16 0.0212942821832435
+3 0 0 0 0 4 12 16 0.432995684196001
+3 0 0 0 0 5 12 16 0.76982819876897
+3 0 0 0 0 6 12 16 0.973550424105155
+3 0 0 0 0 7 12 16 1.00893693668561
+3 0 0 0 0 8 12 16 0.869869087008812
+3 0 0 0 0 9 12 16 0.580392969675619
+3 0 0 0 0 10 12 16 0.190561635180912
+3 0 0 0 0 11 12 16 -0.232219537234683
+3 0 0 0 0 12 12 16 -0.614847842014134
+3 0 0 0 0 13 12 16 -0.891163369192053
+3 0 0 0 0 14 12 16 -1.01338865387162
+3 0 0 0 0 15 12 16 -0.960389833949881
+3 0 0 0 0 16 12 16 -0.741330886870471
+3 0 0 0 0 17 12 16 -0.394089094671478
+3 0 0 0 0 18 12 16 0.0212942821832435
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -0.808450161375596
+4 0 0 0 0 1 12 16 -0.48662988365203
+4 0 0 0 0 2 12 16 -0.0806668781513223
+4 0 0 0 0 3 12 16 0.33924416341733
+4 0 0 0 0 4 12 16 0.700496807194654
+4 0 0 0 0 5 12 16 0.940627189194312
+4 0 0 0 0 6 12 16 1.01811458485253
+4 0 0 0 0 7 12 16 0.919560719509107
+4 0 0 0 0 8 12 16 0.662006451815686
+4 0 0 0 0 9 12 16 0.289985254463523
+4 0 0 0 0 10 12 16 -0.132177027818715
+4 0 0 0 0 11 12 16 -0.531484701200497
+4 0 0 0 0 12 12 16 -0.838893841357783
+4 0 0 0 0 13 12 16 -1.00125061523301
+4 0 0 0 0 14 12 16 -0.990482061658176
+4 0 0 0 0 15 12 16 -0.808450161375596
+4 0 0 0 0 16 12 16 -0.48662988365203
+4 0 0 0 0 17 12 16 -0.0806668781513223
+4 0 0 0 0 18 12 16 0.33924416341733
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -0.572074192548717
+5 0 0 0 0 1 12 16 -0.18035042508436
+5 0 0 0 0 2 12 16 0.242557569309257
+5 0 0 0 0 3 12 16 0.623525156402964
+5 0 0 0 0 4 12 16 0.896679579406383
+5 0 0 0 0 5 12 16 1.01478995705219
+5 0 0 0 0 6 12 16 0.957433932046341
+5 0 0 0 0 7 12 16 0.734528882175465
+5 0 0 0 0 8 12 16 0.384617115591046
+5 0 0 0 0 9 12 16 -0.0317984444158663
+5 0 0 0 0 10 12 16 -0.442715764503477
+5 0 0 0 0 11 12 16 -0.77708350696198
+5 0 0 0 0 12 12 16 -0.977086451484721
+5 0 0 0 0 13 12 16 -1.00814227199401
+5 0 0 0 0 14 12 16 -0.864881134990517
+5 0 0 0 0 15 12 16 -0.572074192548717
+5 0 0 0 0 16 12 16 -0.18035042508436
+5 0 0 0 0 17 12 16 0.242557569309257
+5 0 0 0 0 18 12 16 0.623525156402964
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -0.275360491348877
+6 0 0 0 0 1 12 16 0.146016954416063
+6 0 0 0 0 2 12 16 0.542146742240078
+6 0 0 0 0 3 12 16 0.844534433082251
+6 0 0 0 0 4 12 16 1.00089444809004
+6 0 0 0 0 5 12 16 0.98419072018246
+6 0 0 0 0 6 12 16 0.797311475663331
+6 0 0 0 0 7 12 16 0.472569833654651
+6 0 0 0 0 8 12 16 0.0661165742449202
+6 0 0 0 0 9 12 16 -0.351768841501977
+6 0 0 0 0 10 12 16 -0.708830228833583
+6 0 0 0 0 11 12 16 -0.943328430079393
+6 0 0 0 0 12 12 16 -1.01471657589473
+6 0 0 0 0 13 12 16 -0.910651007327172
+6 0 0 0 0 14 12 16 -0.649125606588065
+6 0 0 0 0 15 12 16 -0.275360491348877
+6 0 0 0 0 16 12 16 0.146016954416063
+6 0 0 0 0 17 12 16 0.542146742240078
+6 0 0 0 0 18 12 16 0.844534433082251
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/phi.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/phi.yl
new file mode 100644
index 000000000..e2869d90c
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/phi.yl
@@ -0,0 +1,219 @@
+# SPACETIMETOY::phi y (phi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -0.959492973614494
+0 0 0 0 0 9 1 16 -1
+0 0 0 0 0 9 2 16 -0.9594929736145
+0 0 0 0 0 9 3 16 -0.841253532831185
+0 0 0 0 0 9 4 16 -0.65486073394529
+0 0 0 0 0 9 5 16 -0.415415013001892
+0 0 0 0 0 9 6 16 -0.142314838273291
+0 0 0 0 0 9 7 16 0.142314838273281
+0 0 0 0 0 9 8 16 0.415415013001883
+0 0 0 0 0 9 9 16 0.654860733945283
+0 0 0 0 0 9 10 16 0.84125353283118
+0 0 0 0 0 9 11 16 0.959492973614497
+0 0 0 0 0 9 12 16 1
+0 0 0 0 0 9 13 16 0.959492973614497
+0 0 0 0 0 9 14 16 0.84125353283118
+0 0 0 0 0 9 15 16 0.654860733945283
+0 0 0 0 0 9 16 16 0.415415013001883
+0 0 0 0 0 9 17 16 0.142314838273281
+0 0 0 0 0 9 18 16 -0.142314838273291
+0 0 0 0 0 9 19 16 -0.415415013001892
+0 0 0 0 0 9 20 16 -0.65486073394529
+0 0 0 0 0 9 21 16 -0.841253532831186
+0 0 0 0 0 9 22 16 -0.9594929736145
+0 0 0 0 0 9 23 16 -1
+0 0 0 0 0 9 24 16 -0.959492973614494
+0 0 0 0 0 9 25 16 -0.841253532831175
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 -1.00584815568965
+1 0 0 0 0 9 1 16 -0.954338021485401
+1 0 0 0 0 9 2 16 -0.825513096447167
+1 0 0 0 0 9 3 16 -0.629810009850201
+1 0 0 0 0 9 4 16 -0.383083461879522
+1 0 0 0 0 9 5 16 -0.105321770112437
+1 0 0 0 0 9 6 16 0.180972465096474
+1 0 0 0 0 9 7 16 0.452605387467959
+1 0 0 0 0 9 8 16 0.687570913094674
+1 0 0 0 0 9 9 16 0.866833532484129
+1 0 0 0 0 9 10 16 0.975870454329236
+1 0 0 0 0 9 11 16 1.00584815568965
+1 0 0 0 0 9 12 16 0.954338021485404
+1 0 0 0 0 9 13 16 0.825513096447162
+1 0 0 0 0 9 14 16 0.629810009850193
+1 0 0 0 0 9 15 16 0.383083461879513
+1 0 0 0 0 9 16 16 0.105321770112427
+1 0 0 0 0 9 17 16 -0.180972465096484
+1 0 0 0 0 9 18 16 -0.452605387467968
+1 0 0 0 0 9 19 16 -0.687570913094681
+1 0 0 0 0 9 20 16 -0.866833532484134
+1 0 0 0 0 9 21 16 -0.975870454329239
+1 0 0 0 0 9 22 16 -1.00584815568965
+1 0 0 0 0 9 23 16 -0.954338021485401
+1 0 0 0 0 9 24 16 -0.825513096447167
+1 0 0 0 0 9 25 16 -0.629810009850201
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 -0.948239023203024
+2 0 0 0 0 9 1 16 -0.809627151455661
+2 0 0 0 0 9 2 16 -0.605424102935438
+2 0 0 0 0 9 3 16 -0.352173194191161
+2 0 0 0 0 9 4 16 -0.0703913077081443
+2 0 0 0 0 9 5 16 0.21709326389216
+2 0 0 0 0 9 6 16 0.486990230355275
+2 0 0 0 0 9 7 16 0.717434144597423
+2 0 0 0 0 9 8 16 0.889755811189435
+2 0 0 0 0 9 9 16 0.989994753540436
+2 0 0 0 0 9 10 16 1.01003020868509
+2 0 0 0 0 9 11 16 0.948239023203027
+2 0 0 0 0 9 12 16 0.809627151455664
+2 0 0 0 0 9 13 16 0.605424102935433
+2 0 0 0 0 9 14 16 0.352173194191151
+2 0 0 0 0 9 15 16 0.0703913077081344
+2 0 0 0 0 9 16 16 -0.21709326389217
+2 0 0 0 0 9 17 16 -0.486990230355283
+2 0 0 0 0 9 18 16 -0.71743414459743
+2 0 0 0 0 9 19 16 -0.889755811189439
+2 0 0 0 0 9 20 16 -0.989994753540438
+2 0 0 0 0 9 21 16 -1.01003020868509
+2 0 0 0 0 9 22 16 -0.948239023203024
+2 0 0 0 0 9 23 16 -0.809627151455661
+2 0 0 0 0 9 24 16 -0.605424102935438
+2 0 0 0 0 9 25 16 -0.352173194191161
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 -0.792149491592763
+3 0 0 0 0 9 1 16 -0.580392969675618
+3 0 0 0 0 9 2 16 -0.321616461085254
+3 0 0 0 0 9 3 16 -0.0367844995445034
+3 0 0 0 0 9 4 16 0.251027523383504
+3 0 0 0 0 9 5 16 0.518502789285146
+3 0 0 0 0 9 6 16 0.743972042853727
+3 0 0 0 0 9 7 16 0.909169106082404
+3 0 0 0 0 9 8 16 1.00071069537315
+3 0 0 0 0 9 9 16 1.01118065558043
+3 0 0 0 0 9 10 16 0.939730772795496
+3 0 0 0 0 9 11 16 0.792149491592768
+3 0 0 0 0 9 12 16 0.580392969675619
+3 0 0 0 0 9 13 16 0.321616461085249
+3 0 0 0 0 9 14 16 0.036784499544494
+3 0 0 0 0 9 15 16 -0.251027523383514
+3 0 0 0 0 9 16 16 -0.518502789285154
+3 0 0 0 0 9 17 16 -0.743972042853734
+3 0 0 0 0 9 18 16 -0.909169106082408
+3 0 0 0 0 9 19 16 -1.00071069537315
+3 0 0 0 0 9 20 16 -1.01118065558043
+3 0 0 0 0 9 21 16 -0.939730772795492
+3 0 0 0 0 9 22 16 -0.792149491592763
+3 0 0 0 0 9 23 16 -0.580392969675618
+3 0 0 0 0 9 24 16 -0.321616461085254
+3 0 0 0 0 9 25 16 -0.0367844995445034
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 -0.553290676448066
+4 0 0 0 0 9 1 16 -0.289985254463524
+4 0 0 0 0 9 2 16 -0.00318695177105769
+4 0 0 0 0 9 3 16 0.283869538800367
+4 0 0 0 0 9 4 16 0.54792860757534
+4 0 0 0 0 9 5 16 0.767597759221462
+4 0 0 0 0 9 6 16 0.925080705495111
+4 0 0 0 0 9 7 16 1.00761911467634
+4 0 0 0 0 9 8 16 1.00852621572811
+4 0 0 0 0 9 9 16 0.927728520717932
+4 0 0 0 0 9 10 16 0.771771778373149
+4 0 0 0 0 9 11 16 0.553290676448071
+4 0 0 0 0 9 12 16 0.289985254463523
+4 0 0 0 0 9 13 16 0.00318695177105363
+4 0 0 0 0 9 14 16 -0.283869538800374
+4 0 0 0 0 9 15 16 -0.547928607575348
+4 0 0 0 0 9 16 16 -0.767597759221468
+4 0 0 0 0 9 17 16 -0.925080705495115
+4 0 0 0 0 9 18 16 -1.00761911467634
+4 0 0 0 0 9 19 16 -1.0085262157281
+4 0 0 0 0 9 20 16 -0.927728520717928
+4 0 0 0 0 9 21 16 -0.771771778373143
+4 0 0 0 0 9 22 16 -0.553290676448066
+4 0 0 0 0 9 23 16 -0.289985254463524
+4 0 0 0 0 9 24 16 -0.00318695177105769
+4 0 0 0 0 9 25 16 0.283869538800367
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 -0.256022206123196
+5 0 0 0 0 9 1 16 0.0317984444158643
+5 0 0 0 0 9 2 16 0.317042974100987
+5 0 0 0 0 9 3 16 0.576602567551613
+5 0 0 0 0 9 4 16 0.789449250166717
+5 0 0 0 0 9 5 16 0.938339449568786
+5 0 0 0 0 9 6 16 1.01121096728637
+5 0 0 0 0 9 7 16 1.0021601863376
+5 0 0 0 0 9 8 16 0.911920347167876
+5 0 0 0 0 9 9 16 0.747802144869738
+5 0 0 0 0 9 10 16 0.523101460144851
+5 0 0 0 0 9 11 16 0.256022206123199
+5 0 0 0 0 9 12 16 -0.0317984444158663
+5 0 0 0 0 9 13 16 -0.317042974100989
+5 0 0 0 0 9 14 16 -0.576602567551618
+5 0 0 0 0 9 15 16 -0.789449250166723
+5 0 0 0 0 9 16 16 -0.93833944956879
+5 0 0 0 0 9 17 16 -1.01121096728637
+5 0 0 0 0 9 18 16 -1.0021601863376
+5 0 0 0 0 9 19 16 -0.911920347167872
+5 0 0 0 0 9 20 16 -0.747802144869731
+5 0 0 0 0 9 21 16 -0.523101460144844
+5 0 0 0 0 9 22 16 -0.256022206123196
+5 0 0 0 0 9 23 16 0.0317984444158643
+5 0 0 0 0 9 24 16 0.317042974100987
+5 0 0 0 0 9 25 16 0.576602567551613
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 0.0691301632688534
+6 0 0 0 0 9 1 16 0.351768841501975
+6 0 0 0 0 9 2 16 0.605909300246464
+6 0 0 0 0 9 3 16 0.810962590966342
+6 0 0 0 0 9 4 16 0.95031651554636
+6 0 0 0 0 9 5 16 1.01268144778675
+6 0 0 0 0 9 6 16 0.993004951775926
+6 0 0 0 0 9 7 16 0.892881100200057
+6 0 0 0 0 9 8 16 0.720421332054347
+6 0 0 0 0 9 9 16 0.489597312096229
+6 0 0 0 0 9 10 16 0.219109029659404
+6 0 0 0 0 9 11 16 -0.0691301632688521
+6 0 0 0 0 9 12 16 -0.351768841501977
+6 0 0 0 0 9 13 16 -0.605909300246465
+6 0 0 0 0 9 14 16 -0.810962590966343
+6 0 0 0 0 9 15 16 -0.950316515546362
+6 0 0 0 0 9 16 16 -1.01268144778675
+6 0 0 0 0 9 17 16 -0.993004951775924
+6 0 0 0 0 9 18 16 -0.892881100200053
+6 0 0 0 0 9 19 16 -0.720421332054341
+6 0 0 0 0 9 20 16 -0.489597312096221
+6 0 0 0 0 9 21 16 -0.219109029659397
+6 0 0 0 0 9 22 16 0.0691301632688534
+6 0 0 0 0 9 23 16 0.351768841501975
+6 0 0 0 0 9 24 16 0.605909300246464
+6 0 0 0 0 9 25 16 0.810962590966342
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/phi.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/phi.zl
new file mode 100644
index 000000000..ed49632d7
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/phi.zl
@@ -0,0 +1,275 @@
+# SPACETIMETOY::phi z (phi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 0.913545457642604
+0 0 0 0 0 9 12 1 1
+0 0 0 0 0 9 12 2 0.913545457642598
+0 0 0 0 0 9 12 3 0.669130606358854
+0 0 0 0 0 9 12 4 0.309016994374942
+0 0 0 0 0 9 12 5 -0.104528463267659
+0 0 0 0 0 9 12 6 -0.500000000000004
+0 0 0 0 0 9 12 7 -0.80901699437495
+0 0 0 0 0 9 12 8 -0.978147600733806
+0 0 0 0 0 9 12 9 -0.978147600733805
+0 0 0 0 0 9 12 10 -0.809016994374946
+0 0 0 0 0 9 12 11 -0.499999999999998
+0 0 0 0 0 9 12 12 -0.104528463267652
+0 0 0 0 0 9 12 13 0.309016994374949
+0 0 0 0 0 9 12 14 0.669130606358859
+0 0 0 0 0 9 12 15 0.913545457642601
+0 0 0 0 0 9 12 16 1
+0 0 0 0 0 9 12 17 0.913545457642601
+0 0 0 0 0 9 12 18 0.669130606358859
+0 0 0 0 0 9 12 19 0.309016994374949
+0 0 0 0 0 9 12 20 -0.104528463267652
+0 0 0 0 0 9 12 21 -0.499999999999998
+0 0 0 0 0 9 12 22 -0.809016994374946
+0 0 0 0 0 9 12 23 -0.978147600733805
+0 0 0 0 0 9 12 24 -0.978147600733806
+0 0 0 0 0 9 12 25 -0.80901699437495
+0 0 0 0 0 9 12 26 -0.500000000000003
+0 0 0 0 0 9 12 27 -0.104528463267659
+0 0 0 0 0 9 12 28 0.309016994374942
+0 0 0 0 0 9 12 29 0.669130606358854
+0 0 0 0 0 9 12 30 0.913545457642598
+0 0 0 0 0 9 12 31 1
+0 0 0 0 0 9 12 32 0.913545457642604
+0 0 0 0 0 9 12 33 0.669130606358864
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 1.00200581931202
+1 0 0 0 0 9 12 1 0.954338021485405
+1 0 0 0 0 9 12 2 0.741656509855213
+1 0 0 0 0 9 12 3 0.400735849933188
+1 0 0 0 0 9 12 4 -0.00947567901319146
+1 0 0 0 0 9 12 5 -0.418048776974349
+1 0 0 0 0 9 12 6 -0.75433744354273
+1 0 0 0 0 9 12 7 -0.960194313182038
+1 0 0 0 0 9 12 8 -1.00002486298069
+1 0 0 0 0 9 12 9 -0.866942029029302
+1 0 0 0 0 9 12 10 -0.583957042337672
+1 0 0 0 0 9 12 11 -0.200000577942674
+1 0 0 0 0 9 12 12 0.218537803326821
+1 0 0 0 0 9 12 13 0.599289013047494
+1 0 0 0 0 9 12 14 0.87641770804249
+1 0 0 0 0 9 12 15 1.00200581931202
+1 0 0 0 0 9 12 16 0.954338021485404
+1 0 0 0 0 9 12 17 0.741656509855218
+1 0 0 0 0 9 12 18 0.400735849933194
+1 0 0 0 0 9 12 19 -0.00947567901318444
+1 0 0 0 0 9 12 20 -0.418048776974342
+1 0 0 0 0 9 12 21 -0.754337443542726
+1 0 0 0 0 9 12 22 -0.960194313182036
+1 0 0 0 0 9 12 23 -1.00002486298069
+1 0 0 0 0 9 12 24 -0.866942029029305
+1 0 0 0 0 9 12 25 -0.583957042337678
+1 0 0 0 0 9 12 26 -0.200000577942681
+1 0 0 0 0 9 12 27 0.218537803326814
+1 0 0 0 0 9 12 28 0.599289013047488
+1 0 0 0 0 9 12 29 0.876417708042487
+1 0 0 0 0 9 12 30 1.00200581931202
+1 0 0 0 0 9 12 31 0.954338021485405
+1 0 0 0 0 9 12 32 0.741656509855213
+1 0 0 0 0 9 12 33 0.400735849933188
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 0.987091761793154
+2 0 0 0 0 9 12 1 0.809627151455666
+2 0 0 0 0 9 12 2 0.492170651399723
+2 0 0 0 0 9 12 3 0.089613374486772
+2 0 0 0 0 9 12 4 -0.32843886898689
+2 0 0 0 0 9 12 5 -0.689701048239266
+2 0 0 0 0 9 12 6 -0.931707650513753
+2 0 0 0 0 9 12 7 -1.01261353571613
+2 0 0 0 0 9 12 8 -0.918429341288021
+2 0 0 0 0 9 12 9 -0.665440370082582
+2 0 0 0 0 9 12 10 -0.297390713553888
+2 0 0 0 0 9 12 11 0.122080499058089
+2 0 0 0 0 9 12 12 0.520442884316407
+2 0 0 0 0 9 12 13 0.828815966801245
+2 0 0 0 0 9 12 14 0.99387923906947
+2 0 0 0 0 9 12 15 0.987091761793153
+2 0 0 0 0 9 12 16 0.809627151455664
+2 0 0 0 0 9 12 17 0.492170651399728
+2 0 0 0 0 9 12 18 0.0896133744867788
+2 0 0 0 0 9 12 19 -0.328438868986884
+2 0 0 0 0 9 12 20 -0.689701048239261
+2 0 0 0 0 9 12 21 -0.93170765051375
+2 0 0 0 0 9 12 22 -1.01261353571613
+2 0 0 0 0 9 12 23 -0.918429341288024
+2 0 0 0 0 9 12 24 -0.665440370082587
+2 0 0 0 0 9 12 25 -0.297390713553895
+2 0 0 0 0 9 12 26 0.122080499058082
+2 0 0 0 0 9 12 27 0.520442884316401
+2 0 0 0 0 9 12 28 0.828815966801241
+2 0 0 0 0 9 12 29 0.993879239069469
+2 0 0 0 0 9 12 30 0.987091761793154
+2 0 0 0 0 9 12 31 0.809627151455666
+2 0 0 0 0 9 12 32 0.492170651399723
+2 0 0 0 0 9 12 33 0.089613374486772
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 0.869869087008815
+3 0 0 0 0 9 12 1 0.58039296967562
+3 0 0 0 0 9 12 2 0.190561635180908
+3 0 0 0 0 9 12 3 -0.232219537234689
+3 0 0 0 0 9 12 4 -0.61484784201414
+3 0 0 0 0 9 12 5 -0.891163369192057
+3 0 0 0 0 9 12 6 -1.01338865387162
+3 0 0 0 0 9 12 7 -0.960389833949879
+3 0 0 0 0 9 12 8 -0.741330886870469
+3 0 0 0 0 9 12 9 -0.394089094671477
+3 0 0 0 0 9 12 10 0.021294282183244
+3 0 0 0 0 9 12 11 0.432995684196002
+3 0 0 0 0 9 12 12 0.769828198768971
+3 0 0 0 0 9 12 13 0.973550424105155
+3 0 0 0 0 9 12 14 1.00893693668561
+3 0 0 0 0 9 12 15 0.869869087008812
+3 0 0 0 0 9 12 16 0.580392969675619
+3 0 0 0 0 9 12 17 0.190561635180912
+3 0 0 0 0 9 12 18 -0.232219537234683
+3 0 0 0 0 9 12 19 -0.614847842014134
+3 0 0 0 0 9 12 20 -0.891163369192053
+3 0 0 0 0 9 12 21 -1.01338865387162
+3 0 0 0 0 9 12 22 -0.960389833949882
+3 0 0 0 0 9 12 23 -0.741330886870474
+3 0 0 0 0 9 12 24 -0.394089094671483
+3 0 0 0 0 9 12 25 0.0212942821832372
+3 0 0 0 0 9 12 26 0.432995684195995
+3 0 0 0 0 9 12 27 0.769828198768966
+3 0 0 0 0 9 12 28 0.973550424105154
+3 0 0 0 0 9 12 29 1.00893693668562
+3 0 0 0 0 9 12 30 0.869869087008815
+3 0 0 0 0 9 12 31 0.58039296967562
+3 0 0 0 0 9 12 32 0.190561635180908
+3 0 0 0 0 9 12 33 -0.232219537234689
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 0.662006451815688
+4 0 0 0 0 9 12 1 0.289985254463522
+4 0 0 0 0 9 12 2 -0.132177027818718
+4 0 0 0 0 9 12 3 -0.531484701200502
+4 0 0 0 0 9 12 4 -0.838893841357787
+4 0 0 0 0 9 12 5 -1.00125061523302
+4 0 0 0 0 9 12 6 -0.990482061658175
+4 0 0 0 0 9 12 7 -0.808450161375593
+4 0 0 0 0 9 12 8 -0.486629883652027
+4 0 0 0 0 9 12 9 -0.0806668781513208
+4 0 0 0 0 9 12 10 0.339244163417331
+4 0 0 0 0 9 12 11 0.700496807194654
+4 0 0 0 0 9 12 12 0.940627189194312
+4 0 0 0 0 9 12 13 1.01811458485253
+4 0 0 0 0 9 12 14 0.919560719509107
+4 0 0 0 0 9 12 15 0.662006451815686
+4 0 0 0 0 9 12 16 0.289985254463523
+4 0 0 0 0 9 12 17 -0.132177027818715
+4 0 0 0 0 9 12 18 -0.531484701200497
+4 0 0 0 0 9 12 19 -0.838893841357783
+4 0 0 0 0 9 12 20 -1.00125061523301
+4 0 0 0 0 9 12 21 -0.990482061658176
+4 0 0 0 0 9 12 22 -0.808450161375598
+4 0 0 0 0 9 12 23 -0.486629883652033
+4 0 0 0 0 9 12 24 -0.0806668781513277
+4 0 0 0 0 9 12 25 0.339244163417324
+4 0 0 0 0 9 12 26 0.700496807194649
+4 0 0 0 0 9 12 27 0.940627189194309
+4 0 0 0 0 9 12 28 1.01811458485253
+4 0 0 0 0 9 12 29 0.91956071950911
+4 0 0 0 0 9 12 30 0.662006451815688
+4 0 0 0 0 9 12 31 0.289985254463522
+4 0 0 0 0 9 12 32 -0.132177027818718
+4 0 0 0 0 9 12 33 -0.531484701200502
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 0.384617115591048
+5 0 0 0 0 9 12 1 -0.0317984444158688
+5 0 0 0 0 9 12 2 -0.442715764503479
+5 0 0 0 0 9 12 3 -0.777083506961982
+5 0 0 0 0 9 12 4 -0.977086451484722
+5 0 0 0 0 9 12 5 -1.00814227199401
+5 0 0 0 0 9 12 6 -0.864881134990513
+5 0 0 0 0 9 12 7 -0.572074192548713
+5 0 0 0 0 9 12 8 -0.180350425084358
+5 0 0 0 0 9 12 9 0.242557569309258
+5 0 0 0 0 9 12 10 0.623525156402965
+5 0 0 0 0 9 12 11 0.896679579406383
+5 0 0 0 0 9 12 12 1.01478995705219
+5 0 0 0 0 9 12 13 0.957433932046341
+5 0 0 0 0 9 12 14 0.734528882175465
+5 0 0 0 0 9 12 15 0.384617115591046
+5 0 0 0 0 9 12 16 -0.0317984444158663
+5 0 0 0 0 9 12 17 -0.442715764503477
+5 0 0 0 0 9 12 18 -0.77708350696198
+5 0 0 0 0 9 12 19 -0.977086451484721
+5 0 0 0 0 9 12 20 -1.00814227199401
+5 0 0 0 0 9 12 21 -0.864881134990517
+5 0 0 0 0 9 12 22 -0.572074192548719
+5 0 0 0 0 9 12 23 -0.180350425084365
+5 0 0 0 0 9 12 24 0.242557569309252
+5 0 0 0 0 9 12 25 0.623525156402959
+5 0 0 0 0 9 12 26 0.89667957940638
+5 0 0 0 0 9 12 27 1.01478995705219
+5 0 0 0 0 9 12 28 0.957433932046344
+5 0 0 0 0 9 12 29 0.734528882175469
+5 0 0 0 0 9 12 30 0.384617115591048
+5 0 0 0 0 9 12 31 -0.0317984444158688
+5 0 0 0 0 9 12 32 -0.442715764503479
+5 0 0 0 0 9 12 33 -0.777083506961982
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 0.0661165742449202
+6 0 0 0 0 9 12 1 -0.351768841501979
+6 0 0 0 0 9 12 2 -0.708830228833584
+6 0 0 0 0 9 12 3 -0.943328430079392
+6 0 0 0 0 9 12 4 -1.01471657589473
+6 0 0 0 0 9 12 5 -0.910651007327169
+6 0 0 0 0 9 12 6 -0.649125606588061
+6 0 0 0 0 9 12 7 -0.275360491348873
+6 0 0 0 0 9 12 8 0.146016954416065
+6 0 0 0 0 9 12 9 0.54214674224008
+6 0 0 0 0 9 12 10 0.844534433082252
+6 0 0 0 0 9 12 11 1.00089444809004
+6 0 0 0 0 9 12 12 0.98419072018246
+6 0 0 0 0 9 12 13 0.797311475663331
+6 0 0 0 0 9 12 14 0.47256983365465
+6 0 0 0 0 9 12 15 0.0661165742449203
+6 0 0 0 0 9 12 16 -0.351768841501977
+6 0 0 0 0 9 12 17 -0.708830228833583
+6 0 0 0 0 9 12 18 -0.943328430079393
+6 0 0 0 0 9 12 19 -1.01471657589473
+6 0 0 0 0 9 12 20 -0.910651007327172
+6 0 0 0 0 9 12 21 -0.649125606588066
+6 0 0 0 0 9 12 22 -0.27536049134888
+6 0 0 0 0 9 12 23 0.146016954416058
+6 0 0 0 0 9 12 24 0.542146742240074
+6 0 0 0 0 9 12 25 0.844534433082248
+6 0 0 0 0 9 12 26 1.00089444809004
+6 0 0 0 0 9 12 27 0.984190720182462
+6 0 0 0 0 9 12 28 0.797311475663335
+6 0 0 0 0 9 12 29 0.472569833654654
+6 0 0 0 0 9 12 30 0.0661165742449202
+6 0 0 0 0 9 12 31 -0.351768841501979
+6 0 0 0 0 9 12 32 -0.708830228833584
+6 0 0 0 0 9 12 33 -0.943328430079392
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/psi.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/psi.xl
new file mode 100644
index 000000000..82983ee4a
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/psi.xl
@@ -0,0 +1,170 @@
+# SPACETIMETOY::psi x (psi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 0.164768243424892
+0 0 0 0 0 1 12 16 0.750263613180806
+0 0 0 0 0 2 12 16 1.20603158828681
+0 0 0 0 0 3 12 16 1.45326574532501
+0 0 0 0 0 4 12 16 1.44921705249169
+0 0 0 0 0 5 12 16 1.19458556555896
+0 0 0 0 0 6 12 16 0.733399381871916
+0 0 0 0 0 7 12 16 0.145401782335003
+0 0 0 0 0 8 12 16 -0.467737106301357
+0 0 0 0 0 9 12 16 -1
+0 0 0 0 0 10 12 16 -1.35935380898385
+0 0 0 0 0 11 12 16 -1.48366299505272
+0 0 0 0 0 12 12 16 -1.35143337062181
+0 0 0 0 0 13 12 16 -0.985528639023654
+0 0 0 0 0 14 12 16 -0.449217052491695
+0 0 0 0 0 15 12 16 0.164768243424883
+0 0 0 0 0 16 12 16 0.750263613180799
+0 0 0 0 0 17 12 16 1.20603158828681
+0 0 0 0 0 18 12 16 1.45326574532501
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 0.625975468283116
+1 0 0 0 0 1 12 16 1.11748431638202
+1 0 0 0 0 2 12 16 1.41576997415218
+1 0 0 0 0 3 12 16 1.46925614152498
+1 0 0 0 0 4 12 16 1.2686945742551
+1 0 0 0 0 5 12 16 0.848764189368141
+1 0 0 0 0 6 12 16 0.282074765358841
+1 0 0 0 0 7 12 16 -0.333387948149798
+1 0 0 0 0 8 12 16 -0.891204856688912
+1 0 0 0 0 9 12 16 -1.29492434916456
+1 0 0 0 0 10 12 16 -1.47473965765126
+1 0 0 0 0 11 12 16 -1.39955908174087
+1 0 0 0 0 12 12 16 -1.08238202600238
+1 0 0 0 0 13 12 16 -0.57805128483607
+1 0 0 0 0 14 12 16 0.026229774909458
+1 0 0 0 0 15 12 16 0.625975468283116
+1 0 0 0 0 16 12 16 1.11748431638202
+1 0 0 0 0 17 12 16 1.41576997415218
+1 0 0 0 0 18 12 16 1.46925614152498
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 1.02259196267718
+2 0 0 0 0 1 12 16 1.36898654314386
+2 0 0 0 0 2 12 16 1.47867091344865
+2 0 0 0 0 3 12 16 1.33267964951465
+2 0 0 0 0 4 12 16 0.956255967165026
+2 0 0 0 0 5 12 16 0.414486940779835
+2 0 0 0 0 6 12 16 -0.198950643161833
+2 0 0 0 0 7 12 16 -0.777987853490969
+2 0 0 0 0 8 12 16 -1.22250389615375
+2 0 0 0 0 9 12 16 -1.45563790907231
+2 0 0 0 0 10 12 16 -1.43707890345702
+2 0 0 0 0 11 12 16 -1.17003589998203
+2 0 0 0 0 12 12 16 -0.700683059957689
+2 0 0 0 0 13 12 16 -0.110175753360902
+2 0 0 0 0 14 12 16 0.499381941907282
+2 0 0 0 0 15 12 16 1.02259196267718
+2 0 0 0 0 16 12 16 1.36898654314386
+2 0 0 0 0 17 12 16 1.47867091344865
+2 0 0 0 0 18 12 16 1.33267964951465
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 1.31336497734783
+3 0 0 0 0 1 12 16 1.47853988122212
+3 0 0 0 0 2 12 16 1.38806180751996
+3 0 0 0 0 3 12 16 1.05757523715195
+3 0 0 0 0 4 12 16 0.544224300510972
+3 0 0 0 0 5 12 16 -0.0632279618109131
+3 0 0 0 0 6 12 16 -0.659747535127691
+3 0 0 0 0 7 12 16 -1.1421907660027
+3 0 0 0 0 8 12 16 -1.42713883695848
+3 0 0 0 0 9 12 16 -1.46532163785483
+3 0 0 0 0 10 12 16 -1.25013701553692
+3 0 0 0 0 11 12 16 -0.818792346094426
+3 0 0 0 0 12 12 16 -0.245871041517264
+3 0 0 0 0 13 12 16 0.369563599806522
+3 0 0 0 0 14 12 16 0.921097337343857
+3 0 0 0 0 15 12 16 1.31336497734783
+3 0 0 0 0 16 12 16 1.47853988122212
+3 0 0 0 0 17 12 16 1.38806180751996
+3 0 0 0 0 18 12 16 1.05757523715195
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 1.46799451434735
+4 0 0 0 0 1 12 16 1.43463024722838
+4 0 0 0 0 2 12 16 1.15320537715697
+4 0 0 0 0 3 12 16 0.672380820833179
+4 0 0 0 0 4 12 16 0.0752955121993339
+4 0 0 0 0 5 12 16 -0.53480907453203
+4 0 0 0 0 6 12 16 -1.05244031368889
+4 0 0 0 0 7 12 16 -1.38809506148885
+4 0 0 0 0 8 12 16 -1.48373556270965
+4 0 0 0 0 9 12 16 -1.32282470582352
+4 0 0 0 0 10 12 16 -0.933185439815324
+4 0 0 0 0 11 12 16 -0.382189933539486
+4 0 0 0 0 12 12 16 0.234889684331874
+4 0 0 0 0 13 12 16 0.811354741876461
+4 0 0 0 0 14 12 16 1.24752919362418
+4 0 0 0 0 15 12 16 1.46799451434735
+4 0 0 0 0 16 12 16 1.43463024722838
+4 0 0 0 0 17 12 16 1.15320537715697
+4 0 0 0 0 18 12 16 0.672380820833179
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 1.47029088828697
+5 0 0 0 0 1 12 16 1.24167033813184
+5 0 0 0 0 2 12 16 0.798353706292816
+5 0 0 0 0 3 12 16 0.216994465820036
+5 0 0 0 0 4 12 16 -0.401885089125862
+5 0 0 0 0 5 12 16 -0.951275061150483
+5 0 0 0 0 6 12 16 -1.33618093303956
+5 0 0 0 0 7 12 16 -1.4900489827834
+5 0 0 0 0 8 12 16 -1.38627402673395
+5 0 0 0 0 9 12 16 -1.04279969755804
+5 0 0 0 0 10 12 16 -0.519015827136492
+5 0 0 0 0 11 12 16 0.0945105949077169
+5 0 0 0 0 12 12 16 0.691695276490581
+5 0 0 0 0 13 12 16 1.16927956091391
+5 0 0 0 0 14 12 16 1.4446847866839
+5 0 0 0 0 15 12 16 1.47029088828697
+5 0 0 0 0 16 12 16 1.24167033813184
+5 0 0 0 0 17 12 16 0.798353706292816
+5 0 0 0 0 18 12 16 0.216994465820036
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 1.31987009891664
+6 0 0 0 0 1 12 16 0.919557339399896
+6 0 0 0 0 2 12 16 0.360244761984744
+6 0 0 0 0 3 12 16 -0.261357407498489
+6 0 0 0 0 4 12 16 -0.837768506867725
+6 0 0 0 0 5 12 16 -1.26932182051158
+6 0 0 0 0 6 12 16 -1.48139785996226
+6 0 0 0 0 7 12 16 -1.4373267513484
+6 0 0 0 0 8 12 16 -1.1447287897228
+6 0 0 0 0 9 12 16 -0.654196820819547
+6 0 0 0 0 10 12 16 -0.0505482784050579
+6 0 0 0 0 11 12 16 0.561840520562358
+6 0 0 0 0 12 12 16 1.07708198936365
+6 0 0 0 0 13 12 16 1.40608619722128
+6 0 0 0 0 14 12 16 1.49196532768727
+6 0 0 0 0 15 12 16 1.31987009891664
+6 0 0 0 0 16 12 16 0.919557339399896
+6 0 0 0 0 17 12 16 0.360244761984744
+6 0 0 0 0 18 12 16 -0.261357407498489
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/psi.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/psi.yl
new file mode 100644
index 000000000..309884722
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/psi.yl
@@ -0,0 +1,219 @@
+# SPACETIMETOY::psi y (psi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 0.650696781231039
+0 0 0 0 0 9 1 16 0.999999999999989
+0 0 0 0 0 9 2 16 1.26828916599794
+0 0 0 0 0 9 3 16 1.43382908657283
+0 0 0 0 0 9 4 16 1.48320870186351
+0 0 0 0 0 9 5 16 1.41242756911101
+0 0 0 0 0 9 6 16 1.22721995473932
+0 0 0 0 0 9 7 16 0.942590278192748
+0 0 0 0 0 9 8 16 0.581597543107234
+0 0 0 0 0 9 9 16 0.173487233972944
+0 0 0 0 0 9 10 16 -0.248677979089527
+0 0 0 0 0 9 11 16 -0.650696781231051
+0 0 0 0 0 9 12 16 -1
+0 0 0 0 0 9 13 16 -1.26828916599794
+0 0 0 0 0 9 14 16 -1.43382908657283
+0 0 0 0 0 9 15 16 -1.48320870186351
+0 0 0 0 0 9 16 16 -1.412427569111
+0 0 0 0 0 9 17 16 -1.22721995473931
+0 0 0 0 0 9 18 16 -0.942590278192737
+0 0 0 0 0 9 19 16 -0.581597543107221
+0 0 0 0 0 9 20 16 -0.17348723397293
+0 0 0 0 0 9 21 16 0.248677979089541
+0 0 0 0 0 9 22 16 0.650696781231064
+0 0 0 0 0 9 23 16 1.00000000000001
+0 0 0 0 0 9 24 16 1.26828916599795
+0 0 0 0 0 9 25 16 1.43382908657284
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 1.04037351840835
+1 0 0 0 0 9 1 16 1.29492434916457
+1 0 0 0 0 9 2 16 1.44456811036311
+1 0 0 0 0 9 3 16 1.47718155443739
+1 0 0 0 0 9 4 16 1.39012253410813
+1 0 0 0 0 9 5 16 1.19044405344247
+1 0 0 0 0 9 6 16 0.894322875410286
+1 0 0 0 0 9 7 16 0.525748976755298
+1 0 0 0 0 9 8 16 0.114582022753155
+1 0 0 0 0 9 9 16 -0.305867685286922
+1 0 0 0 0 9 10 16 -0.701537812530218
+1 0 0 0 0 9 11 16 -1.04037351840834
+1 0 0 0 0 9 12 16 -1.29492434916456
+1 0 0 0 0 9 13 16 -1.44456811036311
+1 0 0 0 0 9 14 16 -1.47718155443739
+1 0 0 0 0 9 15 16 -1.39012253410812
+1 0 0 0 0 9 16 16 -1.19044405344246
+1 0 0 0 0 9 17 16 -0.894322875410274
+1 0 0 0 0 9 18 16 -0.525748976755285
+1 0 0 0 0 9 19 16 -0.11458202275314
+1 0 0 0 0 9 20 16 0.305867685286936
+1 0 0 0 0 9 21 16 0.701537812530231
+1 0 0 0 0 9 22 16 1.04037351840835
+1 0 0 0 0 9 23 16 1.29492434916457
+1 0 0 0 0 9 24 16 1.44456811036311
+1 0 0 0 0 9 25 16 1.47718155443739
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 1.32235996276565
+2 0 0 0 0 9 1 16 1.45563790907231
+2 0 0 0 0 9 2 16 1.47098872899794
+2 0 0 0 0 9 3 16 1.36716879040695
+2 0 0 0 0 9 4 16 1.15258896728308
+2 0 0 0 0 9 5 16 0.844633240740451
+2 0 0 0 0 9 6 16 0.468250352260333
+2 0 0 0 0 9 7 16 0.0539326050321532
+2 0 0 0 0 9 8 16 -0.364754441106179
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+2 0 0 0 0 9 10 16 -1.0819522766532
+2 0 0 0 0 9 11 16 -1.32235996276564
+2 0 0 0 0 9 12 16 -1.45563790907231
+2 0 0 0 0 9 13 16 -1.47098872899793
+2 0 0 0 0 9 14 16 -1.36716879040695
+2 0 0 0 0 9 15 16 -1.15258896728307
+2 0 0 0 0 9 16 16 -0.844633240740439
+2 0 0 0 0 9 17 16 -0.468250352260319
+2 0 0 0 0 9 18 16 -0.053932605032138
+2 0 0 0 0 9 19 16 0.364754441106193
+2 0 0 0 0 9 20 16 0.753891251704289
+2 0 0 0 0 9 21 16 1.08195227665321
+2 0 0 0 0 9 22 16 1.32235996276565
+2 0 0 0 0 9 23 16 1.45563790907231
+2 0 0 0 0 9 24 16 1.47098872899794
+2 0 0 0 0 9 25 16 1.36716879040695
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 1.46726736854502
+3 0 0 0 0 9 1 16 1.46532163785482
+3 0 0 0 0 9 2 16 1.34466426266899
+3 0 0 0 0 9 3 16 1.11507018594799
+3 0 0 0 0 9 4 16 0.795139754339221
+3 0 0 0 0 9 5 16 0.410791828712092
+3 0 0 0 0 9 6 16 -0.00683600780421506
+3 0 0 0 0 9 7 16 -0.423910031623529
+3 0 0 0 0 9 8 16 -0.806641385770735
+3 0 0 0 0 9 9 16 -1.12402345212383
+3 0 0 0 0 9 10 16 -1.35034382321072
+3 0 0 0 0 9 11 16 -1.46726736854502
+3 0 0 0 0 9 12 16 -1.46532163785483
+3 0 0 0 0 9 13 16 -1.34466426266898
+3 0 0 0 0 9 14 16 -1.11507018594798
+3 0 0 0 0 9 15 16 -0.795139754339209
+3 0 0 0 0 9 16 16 -0.410791828712078
+3 0 0 0 0 9 17 16 0.00683600780422958
+3 0 0 0 0 9 18 16 0.423910031623542
+3 0 0 0 0 9 19 16 0.806641385770747
+3 0 0 0 0 9 20 16 1.12402345212384
+3 0 0 0 0 9 21 16 1.35034382321073
+3 0 0 0 0 9 22 16 1.46726736854502
+3 0 0 0 0 9 23 16 1.46532163785482
+3 0 0 0 0 9 24 16 1.34466426266899
+3 0 0 0 0 9 25 16 1.11507018594799
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 1.45991462754778
+4 0 0 0 0 9 1 16 1.32282470582351
+4 0 0 0 0 9 2 16 1.07856739357489
+4 0 0 0 0 9 3 16 0.74693096558609
+4 0 0 0 0 9 4 16 0.354782632935
+4 0 0 0 0 9 5 16 -0.0661080786629228
+4 0 0 0 0 9 6 16 -0.481643106887457
+4 0 0 0 0 9 7 16 -0.858158275033818
+4 0 0 0 0 9 8 16 -1.16515056340072
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+4 0 0 0 0 9 10 16 -1.47873094859473
+4 0 0 0 0 9 11 16 -1.45991462754778
+4 0 0 0 0 9 12 16 -1.32282470582352
+4 0 0 0 0 9 13 16 -1.07856739357488
+4 0 0 0 0 9 14 16 -0.746930965586075
+4 0 0 0 0 9 15 16 -0.354782632934984
+4 0 0 0 0 9 16 16 0.066108078662937
+4 0 0 0 0 9 17 16 0.481643106887471
+4 0 0 0 0 9 18 16 0.85815827503383
+4 0 0 0 0 9 19 16 1.16515056340072
+4 0 0 0 0 9 20 16 1.3777492825381
+4 0 0 0 0 9 21 16 1.47873094859473
+4 0 0 0 0 9 22 16 1.45991462754778
+4 0 0 0 0 9 23 16 1.32282470582351
+4 0 0 0 0 9 24 16 1.07856739357489
+4 0 0 0 0 9 25 16 0.74693096558609
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 1.30091902422701
+5 0 0 0 0 9 1 16 1.04279969755803
+5 0 0 0 0 9 2 16 0.700198941161506
+5 0 0 0 0 9 3 16 0.300872230795509
+5 0 0 0 0 9 4 16 -0.122829358353487
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+5 0 0 0 0 9 6 16 -0.906860204462028
+5 0 0 0 0 9 7 16 -1.20367194508083
+5 0 0 0 0 9 8 16 -1.40296934322188
+5 0 0 0 0 9 9 16 -1.48860650895505
+5 0 0 0 0 9 10 16 -1.45364562841647
+5 0 0 0 0 9 11 16 -1.30091902422702
+5 0 0 0 0 9 12 16 -1.04279969755804
+5 0 0 0 0 9 13 16 -0.700198941161494
+5 0 0 0 0 9 14 16 -0.300872230795494
+5 0 0 0 0 9 15 16 0.122829358353504
+5 0 0 0 0 9 16 16 0.536580043383022
+5 0 0 0 0 9 17 16 0.906860204462039
+5 0 0 0 0 9 18 16 1.20367194508084
+5 0 0 0 0 9 19 16 1.40296934322189
+5 0 0 0 0 9 20 16 1.48860650895505
+5 0 0 0 0 9 21 16 1.45364562841647
+5 0 0 0 0 9 22 16 1.30091902422701
+5 0 0 0 0 9 23 16 1.04279969755803
+5 0 0 0 0 9 24 16 0.700198941161506
+5 0 0 0 0 9 25 16 0.300872230795509
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 1.00664795524979
+6 0 0 0 0 9 1 16 0.65419682081955
+6 0 0 0 0 9 2 16 0.2487465506248
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+6 0 0 0 0 9 15 16 0.58813012626445
+6 0 0 0 0 9 16 16 0.951757761694609
+6 0 0 0 0 9 17 16 1.23827964359363
+6 0 0 0 0 9 18 16 1.42448347310129
+6 0 0 0 0 9 19 16 1.49528412334769
+6 0 0 0 0 9 20 16 1.44494574671756
+6 0 0 0 0 9 21 16 1.27754645911161
+6 0 0 0 0 9 22 16 1.00664795524979
+6 0 0 0 0 9 23 16 0.65419682081955
+6 0 0 0 0 9 24 16 0.2487465506248
+6 0 0 0 0 9 25 16 -0.176855685748872
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/psi.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/psi.zl
new file mode 100644
index 000000000..e186337f9
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/psi.zl
@@ -0,0 +1,275 @@
+# SPACETIMETOY::psi z (psi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 -0.467737106301367
+0 0 0 0 0 9 12 1 -1.00000000000001
+0 0 0 0 0 9 12 2 -1.35935380898385
+0 0 0 0 0 9 12 3 -1.48366299505272
+0 0 0 0 0 9 12 4 -1.35143337062181
+0 0 0 0 0 9 12 5 -0.985528639023647
+0 0 0 0 0 9 12 6 -0.449217052491685
+0 0 0 0 0 9 12 7 0.164768243424893
+0 0 0 0 0 9 12 8 0.750263613180807
+0 0 0 0 0 9 12 9 1.20603158828681
+0 0 0 0 0 9 12 10 1.45326574532501
+0 0 0 0 0 9 12 11 1.44921705249169
+0 0 0 0 0 9 12 12 1.19458556555896
+0 0 0 0 0 9 12 13 0.733399381871916
+0 0 0 0 0 9 12 14 0.145401782335002
+0 0 0 0 0 9 12 15 -0.467737106301357
+0 0 0 0 0 9 12 16 -1
+0 0 0 0 0 9 12 17 -1.35935380898385
+0 0 0 0 0 9 12 18 -1.48366299505272
+0 0 0 0 0 9 12 19 -1.35143337062181
+0 0 0 0 0 9 12 20 -0.985528639023655
+0 0 0 0 0 9 12 21 -0.449217052491695
+0 0 0 0 0 9 12 22 0.164768243424882
+0 0 0 0 0 9 12 23 0.750263613180799
+0 0 0 0 0 9 12 24 1.20603158828681
+0 0 0 0 0 9 12 25 1.45326574532501
+0 0 0 0 0 9 12 26 1.44921705249169
+0 0 0 0 0 9 12 27 1.19458556555896
+0 0 0 0 0 9 12 28 0.733399381871925
+0 0 0 0 0 9 12 29 0.145401782335012
+0 0 0 0 0 9 12 30 -0.467737106301347
+0 0 0 0 0 9 12 31 -0.999999999999993
+0 0 0 0 0 9 12 32 -1.35935380898384
+0 0 0 0 0 9 12 33 -1.48366299505272
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 -0.891204856688904
+1 0 0 0 0 9 12 1 -1.29492434916456
+1 0 0 0 0 9 12 2 -1.47473965765126
+1 0 0 0 0 9 12 3 -1.39955908174087
+1 0 0 0 0 9 12 4 -1.08238202600237
+1 0 0 0 0 9 12 5 -0.57805128483606
+1 0 0 0 0 9 12 6 0.0262297749094682
+1 0 0 0 0 9 12 7 0.625975468283126
+1 0 0 0 0 9 12 8 1.11748431638203
+1 0 0 0 0 9 12 9 1.41576997415218
+1 0 0 0 0 9 12 10 1.46925614152498
+1 0 0 0 0 9 12 11 1.2686945742551
+1 0 0 0 0 9 12 12 0.848764189368141
+1 0 0 0 0 9 12 13 0.28207476535884
+1 0 0 0 0 9 12 14 -0.333387948149798
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+1 0 0 0 0 9 12 16 -1.29492434916456
+1 0 0 0 0 9 12 17 -1.47473965765126
+1 0 0 0 0 9 12 18 -1.39955908174087
+1 0 0 0 0 9 12 19 -1.08238202600238
+1 0 0 0 0 9 12 20 -0.57805128483607
+1 0 0 0 0 9 12 21 0.0262297749094584
+1 0 0 0 0 9 12 22 0.625975468283116
+1 0 0 0 0 9 12 23 1.11748431638202
+1 0 0 0 0 9 12 24 1.41576997415217
+1 0 0 0 0 9 12 25 1.46925614152498
+1 0 0 0 0 9 12 26 1.2686945742551
+1 0 0 0 0 9 12 27 0.84876418936815
+1 0 0 0 0 9 12 28 0.282074765358851
+1 0 0 0 0 9 12 29 -0.333387948149789
+1 0 0 0 0 9 12 30 -0.891204856688904
+1 0 0 0 0 9 12 31 -1.29492434916456
+1 0 0 0 0 9 12 32 -1.47473965765126
+1 0 0 0 0 9 12 33 -1.39955908174087
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 -1.22250389615375
+2 0 0 0 0 9 12 1 -1.45563790907232
+2 0 0 0 0 9 12 2 -1.43707890345701
+2 0 0 0 0 9 12 3 -1.17003589998202
+2 0 0 0 0 9 12 4 -0.700683059957679
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+2 0 0 0 0 9 12 6 0.499381941907292
+2 0 0 0 0 9 12 7 1.02259196267719
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+2 0 0 0 0 9 12 9 1.47867091344866
+2 0 0 0 0 9 12 10 1.33267964951465
+2 0 0 0 0 9 12 11 0.956255967165026
+2 0 0 0 0 9 12 12 0.414486940779835
+2 0 0 0 0 9 12 13 -0.198950643161834
+2 0 0 0 0 9 12 14 -0.777987853490969
+2 0 0 0 0 9 12 15 -1.22250389615375
+2 0 0 0 0 9 12 16 -1.45563790907231
+2 0 0 0 0 9 12 17 -1.43707890345702
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+2 0 0 0 0 9 12 19 -0.700683059957689
+2 0 0 0 0 9 12 20 -0.110175753360902
+2 0 0 0 0 9 12 21 0.499381941907282
+2 0 0 0 0 9 12 22 1.02259196267718
+2 0 0 0 0 9 12 23 1.36898654314386
+2 0 0 0 0 9 12 24 1.47867091344866
+2 0 0 0 0 9 12 25 1.33267964951465
+2 0 0 0 0 9 12 26 0.956255967165033
+2 0 0 0 0 9 12 27 0.414486940779846
+2 0 0 0 0 9 12 28 -0.198950643161823
+2 0 0 0 0 9 12 29 -0.777987853490961
+2 0 0 0 0 9 12 30 -1.22250389615375
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+2 0 0 0 0 9 12 32 -1.43707890345701
+2 0 0 0 0 9 12 33 -1.17003589998202
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 -1.42713883695848
+3 0 0 0 0 9 12 1 -1.46532163785484
+3 0 0 0 0 9 12 2 -1.25013701553691
+3 0 0 0 0 9 12 3 -0.818792346094417
+3 0 0 0 0 9 12 4 -0.245871041517253
+3 0 0 0 0 9 12 5 0.369563599806532
+3 0 0 0 0 9 12 6 0.921097337343864
+3 0 0 0 0 9 12 7 1.31336497734783
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+3 0 0 0 0 9 12 9 1.38806180751996
+3 0 0 0 0 9 12 10 1.05757523715195
+3 0 0 0 0 9 12 11 0.544224300510972
+3 0 0 0 0 9 12 12 -0.0632279618109142
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+3 0 0 0 0 9 12 16 -1.46532163785483
+3 0 0 0 0 9 12 17 -1.25013701553692
+3 0 0 0 0 9 12 18 -0.818792346094426
+3 0 0 0 0 9 12 19 -0.245871041517264
+3 0 0 0 0 9 12 20 0.369563599806523
+3 0 0 0 0 9 12 21 0.921097337343856
+3 0 0 0 0 9 12 22 1.31336497734783
+3 0 0 0 0 9 12 23 1.47853988122212
+3 0 0 0 0 9 12 24 1.38806180751996
+3 0 0 0 0 9 12 25 1.05757523715196
+3 0 0 0 0 9 12 26 0.544224300510981
+3 0 0 0 0 9 12 27 -0.0632279618109034
+3 0 0 0 0 9 12 28 -0.659747535127682
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+3 0 0 0 0 9 12 30 -1.42713883695848
+3 0 0 0 0 9 12 31 -1.46532163785484
+3 0 0 0 0 9 12 32 -1.25013701553691
+3 0 0 0 0 9 12 33 -0.818792346094417
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 -1.48373556270965
+4 0 0 0 0 9 12 1 -1.32282470582352
+4 0 0 0 0 9 12 2 -0.933185439815312
+4 0 0 0 0 9 12 3 -0.382189933539474
+4 0 0 0 0 9 12 4 0.234889684331885
+4 0 0 0 0 9 12 5 0.811354741876469
+4 0 0 0 0 9 12 6 1.24752919362418
+4 0 0 0 0 9 12 7 1.46799451434735
+4 0 0 0 0 9 12 8 1.43463024722837
+4 0 0 0 0 9 12 9 1.15320537715697
+4 0 0 0 0 9 12 10 0.672380820833179
+4 0 0 0 0 9 12 11 0.0752955121993341
+4 0 0 0 0 9 12 12 -0.53480907453203
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+4 0 0 0 0 9 12 19 0.234889684331873
+4 0 0 0 0 9 12 20 0.811354741876461
+4 0 0 0 0 9 12 21 1.24752919362418
+4 0 0 0 0 9 12 22 1.46799451434735
+4 0 0 0 0 9 12 23 1.43463024722838
+4 0 0 0 0 9 12 24 1.15320537715698
+4 0 0 0 0 9 12 25 0.672380820833188
+4 0 0 0 0 9 12 26 0.0752955121993443
+4 0 0 0 0 9 12 27 -0.53480907453202
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+4 0 0 0 0 9 12 29 -1.38809506148885
+4 0 0 0 0 9 12 30 -1.48373556270965
+4 0 0 0 0 9 12 31 -1.32282470582352
+4 0 0 0 0 9 12 32 -0.933185439815312
+4 0 0 0 0 9 12 33 -0.382189933539474
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 -1.38627402673396
+5 0 0 0 0 9 12 1 -1.04279969755804
+5 0 0 0 0 9 12 2 -0.519015827136482
+5 0 0 0 0 9 12 3 0.0945105949077293
+5 0 0 0 0 9 12 4 0.691695276490592
+5 0 0 0 0 9 12 5 1.16927956091392
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+5 0 0 0 0 9 12 16 -1.04279969755804
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+5 0 0 0 0 9 12 19 0.691695276490581
+5 0 0 0 0 9 12 20 1.16927956091391
+5 0 0 0 0 9 12 21 1.44468478668389
+5 0 0 0 0 9 12 22 1.47029088828697
+5 0 0 0 0 9 12 23 1.24167033813184
+5 0 0 0 0 9 12 24 0.798353706292825
+5 0 0 0 0 9 12 25 0.216994465820046
+5 0 0 0 0 9 12 26 -0.401885089125852
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+5 0 0 0 0 9 12 28 -1.33618093303956
+5 0 0 0 0 9 12 29 -1.4900489827834
+5 0 0 0 0 9 12 30 -1.38627402673396
+5 0 0 0 0 9 12 31 -1.04279969755804
+5 0 0 0 0 9 12 32 -0.519015827136482
+5 0 0 0 0 9 12 33 0.0945105949077293
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 -1.1447287897228
+6 0 0 0 0 9 12 1 -0.654196820819541
+6 0 0 0 0 9 12 2 -0.0505482784050511
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+6 0 0 0 0 9 12 20 1.40608619722128
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+6 0 0 0 0 9 12 24 0.360244761984753
+6 0 0 0 0 9 12 25 -0.261357407498479
+6 0 0 0 0 9 12 26 -0.837768506867716
+6 0 0 0 0 9 12 27 -1.26932182051157
+6 0 0 0 0 9 12 28 -1.48139785996226
+6 0 0 0 0 9 12 29 -1.4373267513484
+6 0 0 0 0 9 12 30 -1.1447287897228
+6 0 0 0 0 9 12 31 -0.654196820819541
+6 0 0 0 0 9 12 32 -0.0505482784050511
+6 0 0 0 0 9 12 33 0.561840520562367
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/spher3d_r.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/spher3d_r.xl
new file mode 100644
index 000000000..5c26840e3
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/spher3d_r.xl
@@ -0,0 +1,170 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 5.4
+0 0 0 0 0 1 12 16 4.8
+0 0 0 0 0 2 12 16 4.2
+0 0 0 0 0 3 12 16 3.6
+0 0 0 0 0 4 12 16 3
+0 0 0 0 0 5 12 16 2.4
+0 0 0 0 0 6 12 16 1.8
+0 0 0 0 0 7 12 16 1.2
+0 0 0 0 0 8 12 16 0.6
+0 0 0 0 0 9 12 16 6.2803698347351e-16
+0 0 0 0 0 10 12 16 0.600000000000001
+0 0 0 0 0 11 12 16 1.2
+0 0 0 0 0 12 12 16 1.8
+0 0 0 0 0 13 12 16 2.4
+0 0 0 0 0 14 12 16 3
+0 0 0 0 0 15 12 16 3.6
+0 0 0 0 0 16 12 16 4.2
+0 0 0 0 0 17 12 16 4.8
+0 0 0 0 0 18 12 16 5.4
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 5.4
+1 0 0 0 0 1 12 16 4.8
+1 0 0 0 0 2 12 16 4.2
+1 0 0 0 0 3 12 16 3.6
+1 0 0 0 0 4 12 16 3
+1 0 0 0 0 5 12 16 2.4
+1 0 0 0 0 6 12 16 1.8
+1 0 0 0 0 7 12 16 1.2
+1 0 0 0 0 8 12 16 0.6
+1 0 0 0 0 9 12 16 6.2803698347351e-16
+1 0 0 0 0 10 12 16 0.600000000000001
+1 0 0 0 0 11 12 16 1.2
+1 0 0 0 0 12 12 16 1.8
+1 0 0 0 0 13 12 16 2.4
+1 0 0 0 0 14 12 16 3
+1 0 0 0 0 15 12 16 3.6
+1 0 0 0 0 16 12 16 4.2
+1 0 0 0 0 17 12 16 4.8
+1 0 0 0 0 18 12 16 5.4
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 5.4
+2 0 0 0 0 1 12 16 4.8
+2 0 0 0 0 2 12 16 4.2
+2 0 0 0 0 3 12 16 3.6
+2 0 0 0 0 4 12 16 3
+2 0 0 0 0 5 12 16 2.4
+2 0 0 0 0 6 12 16 1.8
+2 0 0 0 0 7 12 16 1.2
+2 0 0 0 0 8 12 16 0.6
+2 0 0 0 0 9 12 16 6.2803698347351e-16
+2 0 0 0 0 10 12 16 0.600000000000001
+2 0 0 0 0 11 12 16 1.2
+2 0 0 0 0 12 12 16 1.8
+2 0 0 0 0 13 12 16 2.4
+2 0 0 0 0 14 12 16 3
+2 0 0 0 0 15 12 16 3.6
+2 0 0 0 0 16 12 16 4.2
+2 0 0 0 0 17 12 16 4.8
+2 0 0 0 0 18 12 16 5.4
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 5.4
+3 0 0 0 0 1 12 16 4.8
+3 0 0 0 0 2 12 16 4.2
+3 0 0 0 0 3 12 16 3.6
+3 0 0 0 0 4 12 16 3
+3 0 0 0 0 5 12 16 2.4
+3 0 0 0 0 6 12 16 1.8
+3 0 0 0 0 7 12 16 1.2
+3 0 0 0 0 8 12 16 0.6
+3 0 0 0 0 9 12 16 6.2803698347351e-16
+3 0 0 0 0 10 12 16 0.600000000000001
+3 0 0 0 0 11 12 16 1.2
+3 0 0 0 0 12 12 16 1.8
+3 0 0 0 0 13 12 16 2.4
+3 0 0 0 0 14 12 16 3
+3 0 0 0 0 15 12 16 3.6
+3 0 0 0 0 16 12 16 4.2
+3 0 0 0 0 17 12 16 4.8
+3 0 0 0 0 18 12 16 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 5.4
+4 0 0 0 0 1 12 16 4.8
+4 0 0 0 0 2 12 16 4.2
+4 0 0 0 0 3 12 16 3.6
+4 0 0 0 0 4 12 16 3
+4 0 0 0 0 5 12 16 2.4
+4 0 0 0 0 6 12 16 1.8
+4 0 0 0 0 7 12 16 1.2
+4 0 0 0 0 8 12 16 0.6
+4 0 0 0 0 9 12 16 6.2803698347351e-16
+4 0 0 0 0 10 12 16 0.600000000000001
+4 0 0 0 0 11 12 16 1.2
+4 0 0 0 0 12 12 16 1.8
+4 0 0 0 0 13 12 16 2.4
+4 0 0 0 0 14 12 16 3
+4 0 0 0 0 15 12 16 3.6
+4 0 0 0 0 16 12 16 4.2
+4 0 0 0 0 17 12 16 4.8
+4 0 0 0 0 18 12 16 5.4
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 5.4
+5 0 0 0 0 1 12 16 4.8
+5 0 0 0 0 2 12 16 4.2
+5 0 0 0 0 3 12 16 3.6
+5 0 0 0 0 4 12 16 3
+5 0 0 0 0 5 12 16 2.4
+5 0 0 0 0 6 12 16 1.8
+5 0 0 0 0 7 12 16 1.2
+5 0 0 0 0 8 12 16 0.6
+5 0 0 0 0 9 12 16 6.2803698347351e-16
+5 0 0 0 0 10 12 16 0.600000000000001
+5 0 0 0 0 11 12 16 1.2
+5 0 0 0 0 12 12 16 1.8
+5 0 0 0 0 13 12 16 2.4
+5 0 0 0 0 14 12 16 3
+5 0 0 0 0 15 12 16 3.6
+5 0 0 0 0 16 12 16 4.2
+5 0 0 0 0 17 12 16 4.8
+5 0 0 0 0 18 12 16 5.4
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 5.4
+6 0 0 0 0 1 12 16 4.8
+6 0 0 0 0 2 12 16 4.2
+6 0 0 0 0 3 12 16 3.6
+6 0 0 0 0 4 12 16 3
+6 0 0 0 0 5 12 16 2.4
+6 0 0 0 0 6 12 16 1.8
+6 0 0 0 0 7 12 16 1.2
+6 0 0 0 0 8 12 16 0.6
+6 0 0 0 0 9 12 16 6.2803698347351e-16
+6 0 0 0 0 10 12 16 0.600000000000001
+6 0 0 0 0 11 12 16 1.2
+6 0 0 0 0 12 12 16 1.8
+6 0 0 0 0 13 12 16 2.4
+6 0 0 0 0 14 12 16 3
+6 0 0 0 0 15 12 16 3.6
+6 0 0 0 0 16 12 16 4.2
+6 0 0 0 0 17 12 16 4.8
+6 0 0 0 0 18 12 16 5.4
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/spher3d_r.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/spher3d_r.yl
new file mode 100644
index 000000000..3dccc92e2
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/spher3d_r.yl
@@ -0,0 +1,219 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 7.2
+0 0 0 0 0 9 1 16 6.6
+0 0 0 0 0 9 2 16 6
+0 0 0 0 0 9 3 16 5.4
+0 0 0 0 0 9 4 16 4.8
+0 0 0 0 0 9 5 16 4.2
+0 0 0 0 0 9 6 16 3.6
+0 0 0 0 0 9 7 16 3
+0 0 0 0 0 9 8 16 2.4
+0 0 0 0 0 9 9 16 1.8
+0 0 0 0 0 9 10 16 1.2
+0 0 0 0 0 9 11 16 0.6
+0 0 0 0 0 9 12 16 6.2803698347351e-16
+0 0 0 0 0 9 13 16 0.6
+0 0 0 0 0 9 14 16 1.2
+0 0 0 0 0 9 15 16 1.8
+0 0 0 0 0 9 16 16 2.4
+0 0 0 0 0 9 17 16 3
+0 0 0 0 0 9 18 16 3.6
+0 0 0 0 0 9 19 16 4.2
+0 0 0 0 0 9 20 16 4.8
+0 0 0 0 0 9 21 16 5.4
+0 0 0 0 0 9 22 16 6
+0 0 0 0 0 9 23 16 6.6
+0 0 0 0 0 9 24 16 7.2
+0 0 0 0 0 9 25 16 7.8
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 7.2
+1 0 0 0 0 9 1 16 6.6
+1 0 0 0 0 9 2 16 6
+1 0 0 0 0 9 3 16 5.4
+1 0 0 0 0 9 4 16 4.8
+1 0 0 0 0 9 5 16 4.2
+1 0 0 0 0 9 6 16 3.6
+1 0 0 0 0 9 7 16 3
+1 0 0 0 0 9 8 16 2.4
+1 0 0 0 0 9 9 16 1.8
+1 0 0 0 0 9 10 16 1.2
+1 0 0 0 0 9 11 16 0.6
+1 0 0 0 0 9 12 16 6.2803698347351e-16
+1 0 0 0 0 9 13 16 0.6
+1 0 0 0 0 9 14 16 1.2
+1 0 0 0 0 9 15 16 1.8
+1 0 0 0 0 9 16 16 2.4
+1 0 0 0 0 9 17 16 3
+1 0 0 0 0 9 18 16 3.6
+1 0 0 0 0 9 19 16 4.2
+1 0 0 0 0 9 20 16 4.8
+1 0 0 0 0 9 21 16 5.4
+1 0 0 0 0 9 22 16 6
+1 0 0 0 0 9 23 16 6.6
+1 0 0 0 0 9 24 16 7.2
+1 0 0 0 0 9 25 16 7.8
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 7.2
+2 0 0 0 0 9 1 16 6.6
+2 0 0 0 0 9 2 16 6
+2 0 0 0 0 9 3 16 5.4
+2 0 0 0 0 9 4 16 4.8
+2 0 0 0 0 9 5 16 4.2
+2 0 0 0 0 9 6 16 3.6
+2 0 0 0 0 9 7 16 3
+2 0 0 0 0 9 8 16 2.4
+2 0 0 0 0 9 9 16 1.8
+2 0 0 0 0 9 10 16 1.2
+2 0 0 0 0 9 11 16 0.6
+2 0 0 0 0 9 12 16 6.2803698347351e-16
+2 0 0 0 0 9 13 16 0.6
+2 0 0 0 0 9 14 16 1.2
+2 0 0 0 0 9 15 16 1.8
+2 0 0 0 0 9 16 16 2.4
+2 0 0 0 0 9 17 16 3
+2 0 0 0 0 9 18 16 3.6
+2 0 0 0 0 9 19 16 4.2
+2 0 0 0 0 9 20 16 4.8
+2 0 0 0 0 9 21 16 5.4
+2 0 0 0 0 9 22 16 6
+2 0 0 0 0 9 23 16 6.6
+2 0 0 0 0 9 24 16 7.2
+2 0 0 0 0 9 25 16 7.8
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 7.2
+3 0 0 0 0 9 1 16 6.6
+3 0 0 0 0 9 2 16 6
+3 0 0 0 0 9 3 16 5.4
+3 0 0 0 0 9 4 16 4.8
+3 0 0 0 0 9 5 16 4.2
+3 0 0 0 0 9 6 16 3.6
+3 0 0 0 0 9 7 16 3
+3 0 0 0 0 9 8 16 2.4
+3 0 0 0 0 9 9 16 1.8
+3 0 0 0 0 9 10 16 1.2
+3 0 0 0 0 9 11 16 0.6
+3 0 0 0 0 9 12 16 6.2803698347351e-16
+3 0 0 0 0 9 13 16 0.6
+3 0 0 0 0 9 14 16 1.2
+3 0 0 0 0 9 15 16 1.8
+3 0 0 0 0 9 16 16 2.4
+3 0 0 0 0 9 17 16 3
+3 0 0 0 0 9 18 16 3.6
+3 0 0 0 0 9 19 16 4.2
+3 0 0 0 0 9 20 16 4.8
+3 0 0 0 0 9 21 16 5.4
+3 0 0 0 0 9 22 16 6
+3 0 0 0 0 9 23 16 6.6
+3 0 0 0 0 9 24 16 7.2
+3 0 0 0 0 9 25 16 7.8
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 7.2
+4 0 0 0 0 9 1 16 6.6
+4 0 0 0 0 9 2 16 6
+4 0 0 0 0 9 3 16 5.4
+4 0 0 0 0 9 4 16 4.8
+4 0 0 0 0 9 5 16 4.2
+4 0 0 0 0 9 6 16 3.6
+4 0 0 0 0 9 7 16 3
+4 0 0 0 0 9 8 16 2.4
+4 0 0 0 0 9 9 16 1.8
+4 0 0 0 0 9 10 16 1.2
+4 0 0 0 0 9 11 16 0.6
+4 0 0 0 0 9 12 16 6.2803698347351e-16
+4 0 0 0 0 9 13 16 0.6
+4 0 0 0 0 9 14 16 1.2
+4 0 0 0 0 9 15 16 1.8
+4 0 0 0 0 9 16 16 2.4
+4 0 0 0 0 9 17 16 3
+4 0 0 0 0 9 18 16 3.6
+4 0 0 0 0 9 19 16 4.2
+4 0 0 0 0 9 20 16 4.8
+4 0 0 0 0 9 21 16 5.4
+4 0 0 0 0 9 22 16 6
+4 0 0 0 0 9 23 16 6.6
+4 0 0 0 0 9 24 16 7.2
+4 0 0 0 0 9 25 16 7.8
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 7.2
+5 0 0 0 0 9 1 16 6.6
+5 0 0 0 0 9 2 16 6
+5 0 0 0 0 9 3 16 5.4
+5 0 0 0 0 9 4 16 4.8
+5 0 0 0 0 9 5 16 4.2
+5 0 0 0 0 9 6 16 3.6
+5 0 0 0 0 9 7 16 3
+5 0 0 0 0 9 8 16 2.4
+5 0 0 0 0 9 9 16 1.8
+5 0 0 0 0 9 10 16 1.2
+5 0 0 0 0 9 11 16 0.6
+5 0 0 0 0 9 12 16 6.2803698347351e-16
+5 0 0 0 0 9 13 16 0.6
+5 0 0 0 0 9 14 16 1.2
+5 0 0 0 0 9 15 16 1.8
+5 0 0 0 0 9 16 16 2.4
+5 0 0 0 0 9 17 16 3
+5 0 0 0 0 9 18 16 3.6
+5 0 0 0 0 9 19 16 4.2
+5 0 0 0 0 9 20 16 4.8
+5 0 0 0 0 9 21 16 5.4
+5 0 0 0 0 9 22 16 6
+5 0 0 0 0 9 23 16 6.6
+5 0 0 0 0 9 24 16 7.2
+5 0 0 0 0 9 25 16 7.8
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 7.2
+6 0 0 0 0 9 1 16 6.6
+6 0 0 0 0 9 2 16 6
+6 0 0 0 0 9 3 16 5.4
+6 0 0 0 0 9 4 16 4.8
+6 0 0 0 0 9 5 16 4.2
+6 0 0 0 0 9 6 16 3.6
+6 0 0 0 0 9 7 16 3
+6 0 0 0 0 9 8 16 2.4
+6 0 0 0 0 9 9 16 1.8
+6 0 0 0 0 9 10 16 1.2
+6 0 0 0 0 9 11 16 0.6
+6 0 0 0 0 9 12 16 6.2803698347351e-16
+6 0 0 0 0 9 13 16 0.6
+6 0 0 0 0 9 14 16 1.2
+6 0 0 0 0 9 15 16 1.8
+6 0 0 0 0 9 16 16 2.4
+6 0 0 0 0 9 17 16 3
+6 0 0 0 0 9 18 16 3.6
+6 0 0 0 0 9 19 16 4.2
+6 0 0 0 0 9 20 16 4.8
+6 0 0 0 0 9 21 16 5.4
+6 0 0 0 0 9 22 16 6
+6 0 0 0 0 9 23 16 6.6
+6 0 0 0 0 9 24 16 7.2
+6 0 0 0 0 9 25 16 7.8
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/spher3d_r.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/spher3d_r.zl
new file mode 100644
index 000000000..0d3ac2541
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/spher3d_r.zl
@@ -0,0 +1,275 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 9.6
+0 0 0 0 0 9 12 1 9
+0 0 0 0 0 9 12 2 8.4
+0 0 0 0 0 9 12 3 7.8
+0 0 0 0 0 9 12 4 7.2
+0 0 0 0 0 9 12 5 6.6
+0 0 0 0 0 9 12 6 6
+0 0 0 0 0 9 12 7 5.4
+0 0 0 0 0 9 12 8 4.8
+0 0 0 0 0 9 12 9 4.2
+0 0 0 0 0 9 12 10 3.6
+0 0 0 0 0 9 12 11 3
+0 0 0 0 0 9 12 12 2.4
+0 0 0 0 0 9 12 13 1.8
+0 0 0 0 0 9 12 14 1.2
+0 0 0 0 0 9 12 15 0.6
+0 0 0 0 0 9 12 16 6.2803698347351e-16
+0 0 0 0 0 9 12 17 0.6
+0 0 0 0 0 9 12 18 1.2
+0 0 0 0 0 9 12 19 1.8
+0 0 0 0 0 9 12 20 2.4
+0 0 0 0 0 9 12 21 3
+0 0 0 0 0 9 12 22 3.6
+0 0 0 0 0 9 12 23 4.2
+0 0 0 0 0 9 12 24 4.8
+0 0 0 0 0 9 12 25 5.4
+0 0 0 0 0 9 12 26 6
+0 0 0 0 0 9 12 27 6.6
+0 0 0 0 0 9 12 28 7.2
+0 0 0 0 0 9 12 29 7.8
+0 0 0 0 0 9 12 30 8.4
+0 0 0 0 0 9 12 31 9
+0 0 0 0 0 9 12 32 9.6
+0 0 0 0 0 9 12 33 10.2
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 9.6
+1 0 0 0 0 9 12 1 9
+1 0 0 0 0 9 12 2 8.4
+1 0 0 0 0 9 12 3 7.8
+1 0 0 0 0 9 12 4 7.2
+1 0 0 0 0 9 12 5 6.6
+1 0 0 0 0 9 12 6 6
+1 0 0 0 0 9 12 7 5.4
+1 0 0 0 0 9 12 8 4.8
+1 0 0 0 0 9 12 9 4.2
+1 0 0 0 0 9 12 10 3.6
+1 0 0 0 0 9 12 11 3
+1 0 0 0 0 9 12 12 2.4
+1 0 0 0 0 9 12 13 1.8
+1 0 0 0 0 9 12 14 1.2
+1 0 0 0 0 9 12 15 0.6
+1 0 0 0 0 9 12 16 6.2803698347351e-16
+1 0 0 0 0 9 12 17 0.6
+1 0 0 0 0 9 12 18 1.2
+1 0 0 0 0 9 12 19 1.8
+1 0 0 0 0 9 12 20 2.4
+1 0 0 0 0 9 12 21 3
+1 0 0 0 0 9 12 22 3.6
+1 0 0 0 0 9 12 23 4.2
+1 0 0 0 0 9 12 24 4.8
+1 0 0 0 0 9 12 25 5.4
+1 0 0 0 0 9 12 26 6
+1 0 0 0 0 9 12 27 6.6
+1 0 0 0 0 9 12 28 7.2
+1 0 0 0 0 9 12 29 7.8
+1 0 0 0 0 9 12 30 8.4
+1 0 0 0 0 9 12 31 9
+1 0 0 0 0 9 12 32 9.6
+1 0 0 0 0 9 12 33 10.2
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 9.6
+2 0 0 0 0 9 12 1 9
+2 0 0 0 0 9 12 2 8.4
+2 0 0 0 0 9 12 3 7.8
+2 0 0 0 0 9 12 4 7.2
+2 0 0 0 0 9 12 5 6.6
+2 0 0 0 0 9 12 6 6
+2 0 0 0 0 9 12 7 5.4
+2 0 0 0 0 9 12 8 4.8
+2 0 0 0 0 9 12 9 4.2
+2 0 0 0 0 9 12 10 3.6
+2 0 0 0 0 9 12 11 3
+2 0 0 0 0 9 12 12 2.4
+2 0 0 0 0 9 12 13 1.8
+2 0 0 0 0 9 12 14 1.2
+2 0 0 0 0 9 12 15 0.6
+2 0 0 0 0 9 12 16 6.2803698347351e-16
+2 0 0 0 0 9 12 17 0.6
+2 0 0 0 0 9 12 18 1.2
+2 0 0 0 0 9 12 19 1.8
+2 0 0 0 0 9 12 20 2.4
+2 0 0 0 0 9 12 21 3
+2 0 0 0 0 9 12 22 3.6
+2 0 0 0 0 9 12 23 4.2
+2 0 0 0 0 9 12 24 4.8
+2 0 0 0 0 9 12 25 5.4
+2 0 0 0 0 9 12 26 6
+2 0 0 0 0 9 12 27 6.6
+2 0 0 0 0 9 12 28 7.2
+2 0 0 0 0 9 12 29 7.8
+2 0 0 0 0 9 12 30 8.4
+2 0 0 0 0 9 12 31 9
+2 0 0 0 0 9 12 32 9.6
+2 0 0 0 0 9 12 33 10.2
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 9.6
+3 0 0 0 0 9 12 1 9
+3 0 0 0 0 9 12 2 8.4
+3 0 0 0 0 9 12 3 7.8
+3 0 0 0 0 9 12 4 7.2
+3 0 0 0 0 9 12 5 6.6
+3 0 0 0 0 9 12 6 6
+3 0 0 0 0 9 12 7 5.4
+3 0 0 0 0 9 12 8 4.8
+3 0 0 0 0 9 12 9 4.2
+3 0 0 0 0 9 12 10 3.6
+3 0 0 0 0 9 12 11 3
+3 0 0 0 0 9 12 12 2.4
+3 0 0 0 0 9 12 13 1.8
+3 0 0 0 0 9 12 14 1.2
+3 0 0 0 0 9 12 15 0.6
+3 0 0 0 0 9 12 16 6.2803698347351e-16
+3 0 0 0 0 9 12 17 0.6
+3 0 0 0 0 9 12 18 1.2
+3 0 0 0 0 9 12 19 1.8
+3 0 0 0 0 9 12 20 2.4
+3 0 0 0 0 9 12 21 3
+3 0 0 0 0 9 12 22 3.6
+3 0 0 0 0 9 12 23 4.2
+3 0 0 0 0 9 12 24 4.8
+3 0 0 0 0 9 12 25 5.4
+3 0 0 0 0 9 12 26 6
+3 0 0 0 0 9 12 27 6.6
+3 0 0 0 0 9 12 28 7.2
+3 0 0 0 0 9 12 29 7.8
+3 0 0 0 0 9 12 30 8.4
+3 0 0 0 0 9 12 31 9
+3 0 0 0 0 9 12 32 9.6
+3 0 0 0 0 9 12 33 10.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 9.6
+4 0 0 0 0 9 12 1 9
+4 0 0 0 0 9 12 2 8.4
+4 0 0 0 0 9 12 3 7.8
+4 0 0 0 0 9 12 4 7.2
+4 0 0 0 0 9 12 5 6.6
+4 0 0 0 0 9 12 6 6
+4 0 0 0 0 9 12 7 5.4
+4 0 0 0 0 9 12 8 4.8
+4 0 0 0 0 9 12 9 4.2
+4 0 0 0 0 9 12 10 3.6
+4 0 0 0 0 9 12 11 3
+4 0 0 0 0 9 12 12 2.4
+4 0 0 0 0 9 12 13 1.8
+4 0 0 0 0 9 12 14 1.2
+4 0 0 0 0 9 12 15 0.6
+4 0 0 0 0 9 12 16 6.2803698347351e-16
+4 0 0 0 0 9 12 17 0.6
+4 0 0 0 0 9 12 18 1.2
+4 0 0 0 0 9 12 19 1.8
+4 0 0 0 0 9 12 20 2.4
+4 0 0 0 0 9 12 21 3
+4 0 0 0 0 9 12 22 3.6
+4 0 0 0 0 9 12 23 4.2
+4 0 0 0 0 9 12 24 4.8
+4 0 0 0 0 9 12 25 5.4
+4 0 0 0 0 9 12 26 6
+4 0 0 0 0 9 12 27 6.6
+4 0 0 0 0 9 12 28 7.2
+4 0 0 0 0 9 12 29 7.8
+4 0 0 0 0 9 12 30 8.4
+4 0 0 0 0 9 12 31 9
+4 0 0 0 0 9 12 32 9.6
+4 0 0 0 0 9 12 33 10.2
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 9.6
+5 0 0 0 0 9 12 1 9
+5 0 0 0 0 9 12 2 8.4
+5 0 0 0 0 9 12 3 7.8
+5 0 0 0 0 9 12 4 7.2
+5 0 0 0 0 9 12 5 6.6
+5 0 0 0 0 9 12 6 6
+5 0 0 0 0 9 12 7 5.4
+5 0 0 0 0 9 12 8 4.8
+5 0 0 0 0 9 12 9 4.2
+5 0 0 0 0 9 12 10 3.6
+5 0 0 0 0 9 12 11 3
+5 0 0 0 0 9 12 12 2.4
+5 0 0 0 0 9 12 13 1.8
+5 0 0 0 0 9 12 14 1.2
+5 0 0 0 0 9 12 15 0.6
+5 0 0 0 0 9 12 16 6.2803698347351e-16
+5 0 0 0 0 9 12 17 0.6
+5 0 0 0 0 9 12 18 1.2
+5 0 0 0 0 9 12 19 1.8
+5 0 0 0 0 9 12 20 2.4
+5 0 0 0 0 9 12 21 3
+5 0 0 0 0 9 12 22 3.6
+5 0 0 0 0 9 12 23 4.2
+5 0 0 0 0 9 12 24 4.8
+5 0 0 0 0 9 12 25 5.4
+5 0 0 0 0 9 12 26 6
+5 0 0 0 0 9 12 27 6.6
+5 0 0 0 0 9 12 28 7.2
+5 0 0 0 0 9 12 29 7.8
+5 0 0 0 0 9 12 30 8.4
+5 0 0 0 0 9 12 31 9
+5 0 0 0 0 9 12 32 9.6
+5 0 0 0 0 9 12 33 10.2
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 9.6
+6 0 0 0 0 9 12 1 9
+6 0 0 0 0 9 12 2 8.4
+6 0 0 0 0 9 12 3 7.8
+6 0 0 0 0 9 12 4 7.2
+6 0 0 0 0 9 12 5 6.6
+6 0 0 0 0 9 12 6 6
+6 0 0 0 0 9 12 7 5.4
+6 0 0 0 0 9 12 8 4.8
+6 0 0 0 0 9 12 9 4.2
+6 0 0 0 0 9 12 10 3.6
+6 0 0 0 0 9 12 11 3
+6 0 0 0 0 9 12 12 2.4
+6 0 0 0 0 9 12 13 1.8
+6 0 0 0 0 9 12 14 1.2
+6 0 0 0 0 9 12 15 0.6
+6 0 0 0 0 9 12 16 6.2803698347351e-16
+6 0 0 0 0 9 12 17 0.6
+6 0 0 0 0 9 12 18 1.2
+6 0 0 0 0 9 12 19 1.8
+6 0 0 0 0 9 12 20 2.4
+6 0 0 0 0 9 12 21 3
+6 0 0 0 0 9 12 22 3.6
+6 0 0 0 0 9 12 23 4.2
+6 0 0 0 0 9 12 24 4.8
+6 0 0 0 0 9 12 25 5.4
+6 0 0 0 0 9 12 26 6
+6 0 0 0 0 9 12 27 6.6
+6 0 0 0 0 9 12 28 7.2
+6 0 0 0 0 9 12 29 7.8
+6 0 0 0 0 9 12 30 8.4
+6 0 0 0 0 9 12 31 9
+6 0 0 0 0 9 12 32 9.6
+6 0 0 0 0 9 12 33 10.2
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/u.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/u.xl
new file mode 100644
index 000000000..9b6c76b91
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/u.xl
@@ -0,0 +1,170 @@
+# HYDROTOY::u x (u)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -0.80901699437495
+0 0 0 0 0 1 12 16 -0.978147600733806
+0 0 0 0 0 2 12 16 -0.978147600733805
+0 0 0 0 0 3 12 16 -0.809016994374946
+0 0 0 0 0 4 12 16 -0.499999999999998
+0 0 0 0 0 5 12 16 -0.104528463267652
+0 0 0 0 0 6 12 16 0.309016994374949
+0 0 0 0 0 7 12 16 0.669130606358859
+0 0 0 0 0 8 12 16 0.913545457642601
+0 0 0 0 0 9 12 16 1
+0 0 0 0 0 10 12 16 0.913545457642601
+0 0 0 0 0 11 12 16 0.669130606358859
+0 0 0 0 0 12 12 16 0.309016994374949
+0 0 0 0 0 13 12 16 -0.104528463267652
+0 0 0 0 0 14 12 16 -0.499999999999998
+0 0 0 0 0 15 12 16 -0.809016994374946
+0 0 0 0 0 16 12 16 -0.978147600733805
+0 0 0 0 0 17 12 16 -0.978147600733806
+0 0 0 0 0 18 12 16 -0.809016994374949
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -0.955765485796519
+1 0 0 0 0 1 12 16 -0.994570500607911
+1 0 0 0 0 2 12 16 -0.861405240474848
+1 0 0 0 0 3 12 16 -0.579295188642749
+1 0 0 0 0 4 12 16 -0.197019735962746
+1 0 0 0 0 5 12 16 0.219322218933327
+1 0 0 0 0 6 12 16 0.597741369696019
+1 0 0 0 0 7 12 16 0.872805607328403
+1 0 0 0 0 8 12 16 0.99695382626369
+1 0 0 0 0 9 12 16 0.948719671596806
+1 0 0 0 0 10 12 16 0.736443266863195
+1 0 0 0 0 11 12 16 0.396829130911893
+1 0 0 0 0 12 12 16 -0.0114003668535526
+1 0 0 0 0 13 12 16 -0.417658637620938
+1 0 0 0 0 14 12 16 -0.751699935634057
+1 0 0 0 0 15 12 16 -0.955765485796519
+1 0 0 0 0 16 12 16 -0.994570500607911
+1 0 0 0 0 17 12 16 -0.861405240474848
+1 0 0 0 0 18 12 16 -0.579295188642749
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -1.00236259183865
+2 0 0 0 0 1 12 16 -0.906417389262528
+2 0 0 0 0 2 12 16 -0.653744385539442
+2 0 0 0 0 3 12 16 -0.288033038475295
+2 0 0 0 0 4 12 16 0.127481837639237
+2 0 0 0 0 5 12 16 0.520953945889808
+2 0 0 0 0 6 12 16 0.824348384178011
+2 0 0 0 0 7 12 16 0.985205497871871
+2 0 0 0 0 8 12 16 0.975711630672718
+2 0 0 0 0 9 12 16 0.797508358468364
+2 0 0 0 0 10 12 16 0.481408645948843
+2 0 0 0 0 11 12 16 0.0820690050845183
+2 0 0 0 0 12 12 16 -0.331461112332425
+2 0 0 0 0 13 12 16 -0.68767859219742
+2 0 0 0 0 14 12 16 -0.924990196107598
+2 0 0 0 0 15 12 16 -1.00236259183865
+2 0 0 0 0 16 12 16 -0.906417389262528
+2 0 0 0 0 17 12 16 -0.653744385539442
+2 0 0 0 0 18 12 16 -0.288033038475295
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -0.94364338228954
+3 0 0 0 0 1 12 16 -0.722686120855475
+3 0 0 0 0 2 12 16 -0.376769863728199
+3 0 0 0 0 3 12 16 0.0342933256844357
+3 0 0 0 0 4 12 16 0.439426887541149
+3 0 0 0 0 5 12 16 0.768579548474049
+3 0 0 0 0 6 12 16 0.964837823149789
+3 0 0 0 0 7 12 16 0.994266872926481
+3 0 0 0 0 8 12 16 0.851778147743211
+3 0 0 0 0 9 12 16 0.562009242653596
+3 0 0 0 0 10 12 16 0.175063833815491
+3 0 0 0 0 11 12 16 -0.242151702294314
+3 0 0 0 0 12 12 16 -0.617497009198279
+3 0 0 0 0 13 12 16 -0.886071473427644
+3 0 0 0 0 14 12 16 -1.00143613019474
+3 0 0 0 0 15 12 16 -0.94364338228954
+3 0 0 0 0 16 12 16 -0.722686120855475
+3 0 0 0 0 17 12 16 -0.376769863728199
+3 0 0 0 0 18 12 16 0.0342933256844357
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -0.785507602738876
+4 0 0 0 0 1 12 16 -0.462452108726221
+4 0 0 0 0 2 12 16 -0.0594344438692843
+4 0 0 0 0 3 12 16 0.35385997627762
+4 0 0 0 0 4 12 16 0.705968791809162
+4 0 0 0 0 5 12 16 0.936009189711769
+4 0 0 0 0 6 12 16 1.00420509533667
+4 0 0 0 0 7 12 16 0.89876481706098
+4 0 0 0 0 8 12 16 0.637919936893408
+4 0 0 0 0 9 12 16 0.266772904316276
+4 0 0 0 0 10 12 16 -0.150501586972893
+4 0 0 0 0 11 12 16 -0.541752986610453
+4 0 0 0 0 12 12 16 -0.839330373191693
+4 0 0 0 0 13 12 16 -0.991779913171026
+4 0 0 0 0 14 12 16 -0.972741696125436
+4 0 0 0 0 15 12 16 -0.785507602738876
+4 0 0 0 0 16 12 16 -0.462452108726221
+4 0 0 0 0 17 12 16 -0.0594344438692843
+4 0 0 0 0 18 12 16 0.35385997627762
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -0.544328174867942
+5 0 0 0 0 1 12 16 -0.152888277069066
+5 0 0 0 0 2 12 16 0.264987392781447
+5 0 0 0 0 3 12 16 0.637044335085157
+5 0 0 0 0 4 12 16 0.898950524486546
+5 0 0 0 0 5 12 16 1.00542000149508
+5 0 0 0 0 6 12 16 0.938043226291145
+5 0 0 0 0 7 12 16 0.708470255406295
+5 0 0 0 0 8 12 16 0.356396341111483
+5 0 0 0 0 9 12 16 -0.0573017383206181
+5 0 0 0 0 10 12 16 -0.461091826627135
+5 0 0 0 0 11 12 16 -0.785154949222079
+5 0 0 0 0 12 12 16 -0.97345764818774
+5 0 0 0 0 13 12 16 -0.993440676196639
+5 0 0 0 0 14 12 16 -0.841648786165927
+5 0 0 0 0 15 12 16 -0.544328174867942
+5 0 0 0 0 16 12 16 -0.152888277069066
+5 0 0 0 0 17 12 16 0.264987392781447
+5 0 0 0 0 18 12 16 0.637044335085157
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -0.245256464451885
+6 0 0 0 0 1 12 16 0.173571974101471
+6 0 0 0 0 2 12 16 0.562388241480802
+6 0 0 0 0 3 12 16 0.853962472771321
+6 0 0 0 0 4 12 16 0.997878834514167
+6 0 0 0 0 5 12 16 0.969252880324897
+6 0 0 0 0 6 12 16 0.773034297741468
+6 0 0 0 0 7 12 16 0.443151062282416
+6 0 0 0 0 8 12 16 0.0366429822537203
+6 0 0 0 0 9 12 16 -0.376201002297687
+6 0 0 0 0 10 12 16 -0.723996415873011
+6 0 0 0 0 11 12 16 -0.946606271842939
+6 0 0 0 0 12 12 16 -1.00553930376322
+6 0 0 0 0 13 12 16 -0.890605455025042
+6 0 0 0 0 14 12 16 -0.621677832216481
+6 0 0 0 0 15 12 16 -0.245256464451885
+6 0 0 0 0 16 12 16 0.173571974101471
+6 0 0 0 0 17 12 16 0.562388241480802
+6 0 0 0 0 18 12 16 0.853962472771321
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/u.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/u.yl
new file mode 100644
index 000000000..50f79e875
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/u.yl
@@ -0,0 +1,219 @@
+# HYDROTOY::u y (u)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -0.959492973614494
+0 0 0 0 0 9 1 16 -1
+0 0 0 0 0 9 2 16 -0.9594929736145
+0 0 0 0 0 9 3 16 -0.841253532831185
+0 0 0 0 0 9 4 16 -0.65486073394529
+0 0 0 0 0 9 5 16 -0.415415013001892
+0 0 0 0 0 9 6 16 -0.14231483827329
+0 0 0 0 0 9 7 16 0.142314838273281
+0 0 0 0 0 9 8 16 0.415415013001883
+0 0 0 0 0 9 9 16 0.654860733945283
+0 0 0 0 0 9 10 16 0.84125353283118
+0 0 0 0 0 9 11 16 0.959492973614497
+0 0 0 0 0 9 12 16 1
+0 0 0 0 0 9 13 16 0.959492973614497
+0 0 0 0 0 9 14 16 0.84125353283118
+0 0 0 0 0 9 15 16 0.654860733945283
+0 0 0 0 0 9 16 16 0.415415013001883
+0 0 0 0 0 9 17 16 0.142314838273281
+0 0 0 0 0 9 18 16 -0.142314838273291
+0 0 0 0 0 9 19 16 -0.415415013001892
+0 0 0 0 0 9 20 16 -0.65486073394529
+0 0 0 0 0 9 21 16 -0.841253532831186
+0 0 0 0 0 9 22 16 -0.9594929736145
+0 0 0 0 0 9 23 16 -1
+0 0 0 0 0 9 24 16 -0.959492973614494
+0 0 0 0 0 9 25 16 -0.841253532831175
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 -1.00051323460778
+1 0 0 0 0 9 1 16 -0.948719671596804
+1 0 0 0 0 9 2 16 -0.820066483046201
+1 0 0 0 0 9 3 16 -0.624976385162354
+1 0 0 0 0 9 4 16 -0.379254417430333
+1 0 0 0 0 9 5 16 -0.102807512310972
+1 0 0 0 0 9 6 16 0.181968246036004
+1 0 0 0 0 9 7 16 0.452002019295973
+1 0 0 0 0 9 8 16 0.685417277112096
+1 0 0 0 0 9 9 16 0.863304103470101
+1 0 0 0 0 9 10 16 0.971251165632154
+1 0 0 0 0 9 11 16 1.00051323460778
+1 0 0 0 0 9 12 16 0.948719671596806
+1 0 0 0 0 9 13 16 0.820066483046195
+1 0 0 0 0 9 14 16 0.624976385162347
+1 0 0 0 0 9 15 16 0.379254417430324
+1 0 0 0 0 9 16 16 0.102807512310963
+1 0 0 0 0 9 17 16 -0.181968246036014
+1 0 0 0 0 9 18 16 -0.452002019295981
+1 0 0 0 0 9 19 16 -0.685417277112103
+1 0 0 0 0 9 20 16 -0.863304103470106
+1 0 0 0 0 9 21 16 -0.971251165632156
+1 0 0 0 0 9 22 16 -1.00051323460778
+1 0 0 0 0 9 23 16 -0.948719671596804
+1 0 0 0 0 9 24 16 -0.820066483046201
+1 0 0 0 0 9 25 16 -0.624976385162354
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 -0.936397049231443
+2 0 0 0 0 9 1 16 -0.79750835846836
+2 0 0 0 0 9 2 16 -0.594010283467016
+2 0 0 0 0 9 3 16 -0.342389028014344
+2 0 0 0 0 9 4 16 -0.0630294497779055
+2 0 0 0 0 9 5 16 0.221436399628968
+2 0 0 0 0 9 6 16 0.487962788870879
+2 0 0 0 0 9 7 16 0.714957334984917
+2 0 0 0 0 9 8 16 0.884030289833469
+2 0 0 0 0 9 9 16 0.981484368130286
+2 0 0 0 0 9 10 16 0.999424420033478
+2 0 0 0 0 9 11 16 0.936397049231446
+2 0 0 0 0 9 12 16 0.797508358468364
+2 0 0 0 0 9 13 16 0.594010283467008
+2 0 0 0 0 9 14 16 0.342389028014335
+2 0 0 0 0 9 15 16 0.0630294497778957
+2 0 0 0 0 9 16 16 -0.221436399628977
+2 0 0 0 0 9 17 16 -0.487962788870887
+2 0 0 0 0 9 18 16 -0.714957334984924
+2 0 0 0 0 9 19 16 -0.884030289833474
+2 0 0 0 0 9 20 16 -0.981484368130287
+2 0 0 0 0 9 21 16 -0.999424420033477
+2 0 0 0 0 9 22 16 -0.936397049231443
+2 0 0 0 0 9 23 16 -0.79750835846836
+2 0 0 0 0 9 24 16 -0.594010283467016
+2 0 0 0 0 9 25 16 -0.342389028014344
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 -0.773612345734507
+3 0 0 0 0 9 1 16 -0.562009242653593
+3 0 0 0 0 9 2 16 -0.30487549313056
+3 0 0 0 0 9 3 16 -0.0230425443184478
+3 0 0 0 0 9 4 16 0.260657174395054
+3 0 0 0 0 9 5 16 0.523239999026976
+3 0 0 0 0 9 6 16 0.743433030765824
+3 0 0 0 0 9 7 16 0.903397539718502
+3 0 0 0 0 9 8 16 0.990174152715228
+3 0 0 0 0 9 9 16 0.996732744651397
+3 0 0 0 0 9 10 16 0.922541977413788
+3 0 0 0 0 9 11 16 0.773612345734511
+3 0 0 0 0 9 12 16 0.562009242653596
+3 0 0 0 0 9 13 16 0.30487549313055
+3 0 0 0 0 9 14 16 0.0230425443184395
+3 0 0 0 0 9 15 16 -0.260657174395064
+3 0 0 0 0 9 16 16 -0.523239999026984
+3 0 0 0 0 9 17 16 -0.743433030765831
+3 0 0 0 0 9 18 16 -0.903397539718506
+3 0 0 0 0 9 19 16 -0.99017415271523
+3 0 0 0 0 9 20 16 -0.996732744651396
+3 0 0 0 0 9 21 16 -0.922541977413785
+3 0 0 0 0 9 22 16 -0.773612345734507
+3 0 0 0 0 9 23 16 -0.562009242653593
+3 0 0 0 0 9 24 16 -0.30487549313056
+3 0 0 0 0 9 25 16 -0.0230425443184478
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 -0.529023034768285
+4 0 0 0 0 9 1 16 -0.266772904316274
+4 0 0 0 0 9 2 16 0.0170895802838814
+4 0 0 0 0 9 3 16 0.299567568725097
+4 0 0 0 0 9 4 16 0.55777637434513
+4 0 0 0 0 9 5 16 0.77079745533955
+4 0 0 0 0 9 6 16 0.921373110611335
+4 0 0 0 0 9 7 16 0.997304596078268
+4 0 0 0 0 9 8 16 0.992440394369748
+4 0 0 0 0 9 9 16 0.907174574179681
+4 0 0 0 0 9 10 16 0.748414865164506
+4 0 0 0 0 9 11 16 0.529023034768289
+4 0 0 0 0 9 12 16 0.266772904316276
+4 0 0 0 0 9 13 16 -0.0170895802838905
+4 0 0 0 0 9 14 16 -0.299567568725103
+4 0 0 0 0 9 15 16 -0.557776374345138
+4 0 0 0 0 9 16 16 -0.770797455339557
+4 0 0 0 0 9 17 16 -0.921373110611339
+4 0 0 0 0 9 18 16 -0.997304596078268
+4 0 0 0 0 9 19 16 -0.992440394369747
+4 0 0 0 0 9 20 16 -0.907174574179677
+4 0 0 0 0 9 21 16 -0.7484148651645
+4 0 0 0 0 9 22 16 -0.529023034768285
+4 0 0 0 0 9 23 16 -0.266772904316274
+4 0 0 0 0 9 24 16 0.0170895802838814
+4 0 0 0 0 9 25 16 0.299567568725097
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 -0.228142427103317
+5 0 0 0 0 9 1 16 0.0573017383206182
+5 0 0 0 0 9 2 16 0.338103657692372
+5 0 0 0 0 9 3 16 0.591514429497776
+5 0 0 0 0 9 4 16 0.797004220097029
+5 0 0 0 0 9 5 16 0.937925468750632
+5 0 0 0 0 9 6 16 1.0028615739836
+5 0 0 0 0 9 7 16 0.986551798739849
+5 0 0 0 0 9 8 16 0.890317464011655
+5 0 0 0 0 9 9 16 0.721954903271074
+5 0 0 0 0 9 10 16 0.495103849898604
+5 0 0 0 0 9 11 16 0.22814242710332
+5 0 0 0 0 9 12 16 -0.0573017383206181
+5 0 0 0 0 9 13 16 -0.338103657692379
+5 0 0 0 0 9 14 16 -0.591514429497779
+5 0 0 0 0 9 15 16 -0.797004220097035
+5 0 0 0 0 9 16 16 -0.937925468750636
+5 0 0 0 0 9 17 16 -1.0028615739836
+5 0 0 0 0 9 18 16 -0.986551798739846
+5 0 0 0 0 9 19 16 -0.890317464011651
+5 0 0 0 0 9 20 16 -0.721954903271068
+5 0 0 0 0 9 21 16 -0.495103849898596
+5 0 0 0 0 9 22 16 -0.228142427103317
+5 0 0 0 0 9 23 16 0.0573017383206182
+5 0 0 0 0 9 24 16 0.338103657692372
+5 0 0 0 0 9 25 16 0.591514429497776
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 0.0975277748355794
+6 0 0 0 0 9 1 16 0.376201002297685
+6 0 0 0 0 9 2 16 0.624396661907141
+6 0 0 0 0 9 3 16 0.822007417398816
+6 0 0 0 0 9 4 16 0.953024020599179
+6 0 0 0 0 9 5 16 1.00683228550269
+6 0 0 0 0 9 6 16 0.979072986496933
+6 0 0 0 0 9 7 16 0.871995016896448
+6 0 0 0 0 9 8 16 0.69427319698106
+6 0 0 0 0 9 9 16 0.460305491647954
+6 0 0 0 0 9 10 16 0.189046572923696
+6 0 0 0 0 9 11 16 -0.0975277748355793
+6 0 0 0 0 9 12 16 -0.376201002297687
+6 0 0 0 0 9 13 16 -0.624396661907144
+6 0 0 0 0 9 14 16 -0.822007417398816
+6 0 0 0 0 9 15 16 -0.953024020599182
+6 0 0 0 0 9 16 16 -1.00683228550269
+6 0 0 0 0 9 17 16 -0.979072986496931
+6 0 0 0 0 9 18 16 -0.871995016896444
+6 0 0 0 0 9 19 16 -0.694273196981054
+6 0 0 0 0 9 20 16 -0.460305491647947
+6 0 0 0 0 9 21 16 -0.189046572923689
+6 0 0 0 0 9 22 16 0.0975277748355794
+6 0 0 0 0 9 23 16 0.376201002297685
+6 0 0 0 0 9 24 16 0.624396661907141
+6 0 0 0 0 9 25 16 0.822007417398816
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/u.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/u.zl
new file mode 100644
index 000000000..57a1edbb4
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/u.zl
@@ -0,0 +1,275 @@
+# HYDROTOY::u z (u)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 0.913545457642604
+0 0 0 0 0 9 12 1 1
+0 0 0 0 0 9 12 2 0.913545457642598
+0 0 0 0 0 9 12 3 0.669130606358854
+0 0 0 0 0 9 12 4 0.309016994374941
+0 0 0 0 0 9 12 5 -0.104528463267659
+0 0 0 0 0 9 12 6 -0.500000000000004
+0 0 0 0 0 9 12 7 -0.80901699437495
+0 0 0 0 0 9 12 8 -0.978147600733806
+0 0 0 0 0 9 12 9 -0.978147600733805
+0 0 0 0 0 9 12 10 -0.809016994374946
+0 0 0 0 0 9 12 11 -0.499999999999998
+0 0 0 0 0 9 12 12 -0.104528463267652
+0 0 0 0 0 9 12 13 0.309016994374949
+0 0 0 0 0 9 12 14 0.669130606358859
+0 0 0 0 0 9 12 15 0.913545457642601
+0 0 0 0 0 9 12 16 1
+0 0 0 0 0 9 12 17 0.913545457642601
+0 0 0 0 0 9 12 18 0.669130606358859
+0 0 0 0 0 9 12 19 0.309016994374949
+0 0 0 0 0 9 12 20 -0.104528463267652
+0 0 0 0 0 9 12 21 -0.499999999999998
+0 0 0 0 0 9 12 22 -0.809016994374946
+0 0 0 0 0 9 12 23 -0.978147600733805
+0 0 0 0 0 9 12 24 -0.978147600733806
+0 0 0 0 0 9 12 25 -0.80901699437495
+0 0 0 0 0 9 12 26 -0.500000000000004
+0 0 0 0 0 9 12 27 -0.104528463267659
+0 0 0 0 0 9 12 28 0.309016994374942
+0 0 0 0 0 9 12 29 0.669130606358854
+0 0 0 0 0 9 12 30 0.913545457642598
+0 0 0 0 0 9 12 31 1
+0 0 0 0 0 9 12 32 0.913545457642604
+0 0 0 0 0 9 12 33 0.669130606358864
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 0.996953826263689
+1 0 0 0 0 9 12 1 0.948719671596808
+1 0 0 0 0 9 12 2 0.73644326686319
+1 0 0 0 0 9 12 3 0.396829130911887
+1 0 0 0 0 9 12 4 -0.0114003668535601
+1 0 0 0 0 9 12 5 -0.417658637620944
+1 0 0 0 0 9 12 6 -0.751699935634062
+1 0 0 0 0 9 12 7 -0.955765485796521
+1 0 0 0 0 9 12 8 -0.99457050060791
+1 0 0 0 0 9 12 9 -0.861405240474847
+1 0 0 0 0 9 12 10 -0.579295188642748
+1 0 0 0 0 9 12 11 -0.197019735962745
+1 0 0 0 0 9 12 12 0.219322218933327
+1 0 0 0 0 9 12 13 0.597741369696019
+1 0 0 0 0 9 12 14 0.872805607328403
+1 0 0 0 0 9 12 15 0.99695382626369
+1 0 0 0 0 9 12 16 0.948719671596806
+1 0 0 0 0 9 12 17 0.736443266863195
+1 0 0 0 0 9 12 18 0.396829130911893
+1 0 0 0 0 9 12 19 -0.0114003668535524
+1 0 0 0 0 9 12 20 -0.417658637620938
+1 0 0 0 0 9 12 21 -0.751699935634057
+1 0 0 0 0 9 12 22 -0.955765485796519
+1 0 0 0 0 9 12 23 -0.994570500607911
+1 0 0 0 0 9 12 24 -0.861405240474851
+1 0 0 0 0 9 12 25 -0.579295188642754
+1 0 0 0 0 9 12 26 -0.197019735962752
+1 0 0 0 0 9 12 27 0.21932221893332
+1 0 0 0 0 9 12 28 0.597741369696014
+1 0 0 0 0 9 12 29 0.8728056073284
+1 0 0 0 0 9 12 30 0.996953826263689
+1 0 0 0 0 9 12 31 0.948719671596808
+1 0 0 0 0 9 12 32 0.73644326686319
+1 0 0 0 0 9 12 33 0.396829130911887
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 0.97571163067272
+2 0 0 0 0 9 12 1 0.797508358468365
+2 0 0 0 0 9 12 2 0.481408645948837
+2 0 0 0 0 9 12 3 0.0820690050845114
+2 0 0 0 0 9 12 4 -0.331461112332432
+2 0 0 0 0 9 12 5 -0.687678592197425
+2 0 0 0 0 9 12 6 -0.924990196107601
+2 0 0 0 0 9 12 7 -1.00236259183865
+2 0 0 0 0 9 12 8 -0.906417389262526
+2 0 0 0 0 9 12 9 -0.653744385539442
+2 0 0 0 0 9 12 10 -0.288033038475295
+2 0 0 0 0 9 12 11 0.127481837639237
+2 0 0 0 0 9 12 12 0.520953945889809
+2 0 0 0 0 9 12 13 0.824348384178011
+2 0 0 0 0 9 12 14 0.985205497871871
+2 0 0 0 0 9 12 15 0.975711630672718
+2 0 0 0 0 9 12 16 0.797508358468364
+2 0 0 0 0 9 12 17 0.481408645948843
+2 0 0 0 0 9 12 18 0.0820690050845184
+2 0 0 0 0 9 12 19 -0.331461112332425
+2 0 0 0 0 9 12 20 -0.68767859219742
+2 0 0 0 0 9 12 21 -0.924990196107598
+2 0 0 0 0 9 12 22 -1.00236259183865
+2 0 0 0 0 9 12 23 -0.906417389262529
+2 0 0 0 0 9 12 24 -0.653744385539447
+2 0 0 0 0 9 12 25 -0.288033038475302
+2 0 0 0 0 9 12 26 0.12748183763923
+2 0 0 0 0 9 12 27 0.520953945889802
+2 0 0 0 0 9 12 28 0.824348384178007
+2 0 0 0 0 9 12 29 0.985205497871869
+2 0 0 0 0 9 12 30 0.97571163067272
+2 0 0 0 0 9 12 31 0.797508358468365
+2 0 0 0 0 9 12 32 0.481408645948837
+2 0 0 0 0 9 12 33 0.0820690050845114
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 0.851778147743213
+3 0 0 0 0 9 12 1 0.562009242653597
+3 0 0 0 0 9 12 2 0.175063833815484
+3 0 0 0 0 9 12 3 -0.24215170229432
+3 0 0 0 0 9 12 4 -0.617497009198284
+3 0 0 0 0 9 12 5 -0.886071473427647
+3 0 0 0 0 9 12 6 -1.00143613019474
+3 0 0 0 0 9 12 7 -0.943643382289538
+3 0 0 0 0 9 12 8 -0.722686120855472
+3 0 0 0 0 9 12 9 -0.376769863728199
+3 0 0 0 0 9 12 10 0.0342933256844365
+3 0 0 0 0 9 12 11 0.439426887541149
+3 0 0 0 0 9 12 12 0.76857954847405
+3 0 0 0 0 9 12 13 0.964837823149789
+3 0 0 0 0 9 12 14 0.994266872926481
+3 0 0 0 0 9 12 15 0.851778147743211
+3 0 0 0 0 9 12 16 0.562009242653596
+3 0 0 0 0 9 12 17 0.175063833815491
+3 0 0 0 0 9 12 18 -0.242151702294313
+3 0 0 0 0 9 12 19 -0.617497009198278
+3 0 0 0 0 9 12 20 -0.886071473427644
+3 0 0 0 0 9 12 21 -1.00143613019474
+3 0 0 0 0 9 12 22 -0.94364338228954
+3 0 0 0 0 9 12 23 -0.722686120855477
+3 0 0 0 0 9 12 24 -0.376769863728206
+3 0 0 0 0 9 12 25 0.034293325684429
+3 0 0 0 0 9 12 26 0.439426887541143
+3 0 0 0 0 9 12 27 0.768579548474045
+3 0 0 0 0 9 12 28 0.964837823149787
+3 0 0 0 0 9 12 29 0.994266872926482
+3 0 0 0 0 9 12 30 0.851778147743213
+3 0 0 0 0 9 12 31 0.562009242653597
+3 0 0 0 0 9 12 32 0.175063833815484
+3 0 0 0 0 9 12 33 -0.24215170229432
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 0.63791993689341
+4 0 0 0 0 9 12 1 0.266772904316275
+4 0 0 0 0 9 12 2 -0.1505015869729
+4 0 0 0 0 9 12 3 -0.541752986610458
+4 0 0 0 0 9 12 4 -0.839330373191696
+4 0 0 0 0 9 12 5 -0.991779913171028
+4 0 0 0 0 9 12 6 -0.972741696125435
+4 0 0 0 0 9 12 7 -0.785507602738873
+4 0 0 0 0 9 12 8 -0.462452108726218
+4 0 0 0 0 9 12 9 -0.0594344438692841
+4 0 0 0 0 9 12 10 0.353859976277621
+4 0 0 0 0 9 12 11 0.705968791809162
+4 0 0 0 0 9 12 12 0.936009189711769
+4 0 0 0 0 9 12 13 1.00420509533667
+4 0 0 0 0 9 12 14 0.89876481706098
+4 0 0 0 0 9 12 15 0.637919936893408
+4 0 0 0 0 9 12 16 0.266772904316276
+4 0 0 0 0 9 12 17 -0.150501586972892
+4 0 0 0 0 9 12 18 -0.541752986610453
+4 0 0 0 0 9 12 19 -0.839330373191692
+4 0 0 0 0 9 12 20 -0.991779913171026
+4 0 0 0 0 9 12 21 -0.972741696125436
+4 0 0 0 0 9 12 22 -0.785507602738877
+4 0 0 0 0 9 12 23 -0.462452108726224
+4 0 0 0 0 9 12 24 -0.0594344438692912
+4 0 0 0 0 9 12 25 0.353859976277614
+4 0 0 0 0 9 12 26 0.705968791809157
+4 0 0 0 0 9 12 27 0.936009189711766
+4 0 0 0 0 9 12 28 1.00420509533667
+4 0 0 0 0 9 12 29 0.898764817060982
+4 0 0 0 0 9 12 30 0.63791993689341
+4 0 0 0 0 9 12 31 0.266772904316275
+4 0 0 0 0 9 12 32 -0.1505015869729
+4 0 0 0 0 9 12 33 -0.541752986610458
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 0.356396341111483
+5 0 0 0 0 9 12 1 -0.0573017383206205
+5 0 0 0 0 9 12 2 -0.461091826627141
+5 0 0 0 0 9 12 3 -0.785154949222081
+5 0 0 0 0 9 12 4 -0.973457648187742
+5 0 0 0 0 9 12 5 -0.993440676196638
+5 0 0 0 0 9 12 6 -0.841648786165924
+5 0 0 0 0 9 12 7 -0.544328174867939
+5 0 0 0 0 9 12 8 -0.152888277069062
+5 0 0 0 0 9 12 9 0.264987392781448
+5 0 0 0 0 9 12 10 0.637044335085158
+5 0 0 0 0 9 12 11 0.898950524486546
+5 0 0 0 0 9 12 12 1.00542000149508
+5 0 0 0 0 9 12 13 0.938043226291145
+5 0 0 0 0 9 12 14 0.708470255406295
+5 0 0 0 0 9 12 15 0.356396341111483
+5 0 0 0 0 9 12 16 -0.0573017383206181
+5 0 0 0 0 9 12 17 -0.461091826627135
+5 0 0 0 0 9 12 18 -0.785154949222079
+5 0 0 0 0 9 12 19 -0.97345764818774
+5 0 0 0 0 9 12 20 -0.993440676196639
+5 0 0 0 0 9 12 21 -0.841648786165928
+5 0 0 0 0 9 12 22 -0.544328174867945
+5 0 0 0 0 9 12 23 -0.15288827706907
+5 0 0 0 0 9 12 24 0.264987392781441
+5 0 0 0 0 9 12 25 0.637044335085152
+5 0 0 0 0 9 12 26 0.898950524486543
+5 0 0 0 0 9 12 27 1.00542000149508
+5 0 0 0 0 9 12 28 0.938043226291147
+5 0 0 0 0 9 12 29 0.708470255406299
+5 0 0 0 0 9 12 30 0.356396341111483
+5 0 0 0 0 9 12 31 -0.0573017383206205
+5 0 0 0 0 9 12 32 -0.461091826627141
+5 0 0 0 0 9 12 33 -0.785154949222081
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 0.036642982253719
+6 0 0 0 0 9 12 1 -0.37620100229769
+6 0 0 0 0 9 12 2 -0.723996415873014
+6 0 0 0 0 9 12 3 -0.946606271842938
+6 0 0 0 0 9 12 4 -1.00553930376322
+6 0 0 0 0 9 12 5 -0.890605455025039
+6 0 0 0 0 9 12 6 -0.621677832216476
+6 0 0 0 0 9 12 7 -0.245256464451882
+6 0 0 0 0 9 12 8 0.173571974101474
+6 0 0 0 0 9 12 9 0.562388241480803
+6 0 0 0 0 9 12 10 0.853962472771322
+6 0 0 0 0 9 12 11 0.997878834514167
+6 0 0 0 0 9 12 12 0.969252880324898
+6 0 0 0 0 9 12 13 0.773034297741468
+6 0 0 0 0 9 12 14 0.443151062282416
+6 0 0 0 0 9 12 15 0.0366429822537202
+6 0 0 0 0 9 12 16 -0.376201002297687
+6 0 0 0 0 9 12 17 -0.723996415873011
+6 0 0 0 0 9 12 18 -0.946606271842939
+6 0 0 0 0 9 12 19 -1.00553930376322
+6 0 0 0 0 9 12 20 -0.890605455025042
+6 0 0 0 0 9 12 21 -0.621677832216482
+6 0 0 0 0 9 12 22 -0.245256464451889
+6 0 0 0 0 9 12 23 0.173571974101467
+6 0 0 0 0 9 12 24 0.562388241480797
+6 0 0 0 0 9 12 25 0.853962472771319
+6 0 0 0 0 9 12 26 0.997878834514166
+6 0 0 0 0 9 12 27 0.969252880324899
+6 0 0 0 0 9 12 28 0.773034297741472
+6 0 0 0 0 9 12 29 0.44315106228242
+6 0 0 0 0 9 12 30 0.036642982253719
+6 0 0 0 0 9 12 31 -0.37620100229769
+6 0 0 0 0 9 12 32 -0.723996415873014
+6 0 0 0 0 9 12 33 -0.946606271842938
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vx.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vx.xl
new file mode 100644
index 000000000..dc98ae343
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vx.xl
@@ -0,0 +1,170 @@
+# HYDROTOY::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -0.515299953858482
+0 0 0 0 0 1 12 16 -0.62302697845592
+0 0 0 0 0 2 12 16 -0.62302697845592
+0 0 0 0 0 3 12 16 -0.51529995385848
+0 0 0 0 0 4 12 16 -0.318472885885792
+0 0 0 0 0 5 12 16 -0.0665789627081124
+0 0 0 0 0 6 12 16 0.196827067972688
+0 0 0 0 0 7 12 16 0.426199910483233
+0 0 0 0 0 8 12 16 0.581878916566594
+0 0 0 0 0 9 12 16 0.636945771771587
+0 0 0 0 0 10 12 16 0.581878916566594
+0 0 0 0 0 11 12 16 0.426199910483233
+0 0 0 0 0 12 12 16 0.196827067972688
+0 0 0 0 0 13 12 16 -0.0665789627081126
+0 0 0 0 0 14 12 16 -0.318472885885792
+0 0 0 0 0 15 12 16 -0.51529995385848
+0 0 0 0 0 16 12 16 -0.62302697845592
+0 0 0 0 0 17 12 16 -0.62302697845592
+0 0 0 0 0 18 12 16 -0.515299953858482
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -0.608492170320791
+1 0 0 0 0 1 12 16 -0.633457407715208
+1 0 0 0 0 2 12 16 -0.548892104535778
+1 0 0 0 0 3 12 16 -0.369418369953888
+1 0 0 0 0 4 12 16 -0.126068843146438
+1 0 0 0 0 5 12 16 0.139079131940516
+1 0 0 0 0 6 12 16 0.380179061620706
+1 0 0 0 0 7 12 16 0.555542577728329
+1 0 0 0 0 8 12 16 0.634847735200848
+1 0 0 0 0 9 12 16 0.604381951846525
+1 0 0 0 0 10 12 16 0.469413038380277
+1 0 0 0 0 11 12 16 0.253278346094503
+1 0 0 0 0 12 12 16 -0.00665047319254958
+1 0 0 0 0 13 12 16 -0.265429365246958
+1 0 0 0 0 14 12 16 -0.478313108700085
+1 0 0 0 0 15 12 16 -0.608492170320791
+1 0 0 0 0 16 12 16 -0.633457407715208
+1 0 0 0 0 17 12 16 -0.548892104535778
+1 0 0 0 0 18 12 16 -0.369418369953888
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -0.638086200378305
+2 0 0 0 0 1 12 16 -0.57748024821656
+2 0 0 0 0 2 12 16 -0.417022714894814
+2 0 0 0 0 3 12 16 -0.184458165635327
+2 0 0 0 0 4 12 16 0.0800008762123354
+2 0 0 0 0 5 12 16 0.330627039777741
+2 0 0 0 0 6 12 16 0.524084784513214
+2 0 0 0 0 7 12 16 0.626923508845556
+2 0 0 0 0 8 12 16 0.621361463077223
+2 0 0 0 0 9 12 16 0.508360375451159
+2 0 0 0 0 10 12 16 0.307459160600565
+2 0 0 0 0 11 12 16 0.0533954637033468
+2 0 0 0 0 12 12 16 -0.209900793950739
+2 0 0 0 0 13 12 16 -0.436903297441893
+2 0 0 0 0 14 12 16 -0.588361251663493
+2 0 0 0 0 15 12 16 -0.638086200378305
+2 0 0 0 0 16 12 16 -0.57748024821656
+2 0 0 0 0 17 12 16 -0.417022714894814
+2 0 0 0 0 18 12 16 -0.184458165635327
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -0.600801795900965
+3 0 0 0 0 1 12 16 -0.460809125595697
+3 0 0 0 0 2 12 16 -0.241138371155451
+3 0 0 0 0 3 12 16 0.0202273983308999
+3 0 0 0 0 4 12 16 0.278095666885694
+3 0 0 0 0 5 12 16 0.487878668216131
+3 0 0 0 0 6 12 16 0.613303015573443
+3 0 0 0 0 7 12 16 0.632681699855125
+3 0 0 0 0 8 12 16 0.542663970499055
+3 0 0 0 0 9 12 16 0.358814710696295
+3 0 0 0 0 10 12 16 0.112923127684834
+3 0 0 0 0 11 12 16 -0.152493889977744
+3 0 0 0 0 12 12 16 -0.391543328699671
+3 0 0 0 0 13 12 16 -0.562891368829953
+3 0 0 0 0 14 12 16 -0.636910377581988
+3 0 0 0 0 15 12 16 -0.600801795900965
+3 0 0 0 0 16 12 16 -0.460809125595697
+3 0 0 0 0 17 12 16 -0.241138371155451
+3 0 0 0 0 18 12 16 0.0202273983308999
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -0.50038504730599
+4 0 0 0 0 1 12 16 -0.295557108392468
+4 0 0 0 0 2 12 16 -0.0396246603858525
+4 0 0 0 0 3 12 16 0.223159251380213
+4 0 0 0 0 4 12 16 0.447356901244488
+4 0 0 0 0 5 12 16 0.594202478773731
+4 0 0 0 0 6 12 16 0.638305049562943
+4 0 0 0 0 7 12 16 0.572038878463393
+4 0 0 0 0 8 12 16 0.406861988467459
+4 0 0 0 0 9 12 16 0.171334964440373
+4 0 0 0 0 10 12 16 -0.0938174314677396
+4 0 0 0 0 11 12 16 -0.342747941170472
+4 0 0 0 0 12 12 16 -0.532414218077537
+4 0 0 0 0 13 12 16 -0.630021239847671
+4 0 0 0 0 14 12 16 -0.618691865684861
+4 0 0 0 0 15 12 16 -0.50038504730599
+4 0 0 0 0 16 12 16 -0.295557108392468
+4 0 0 0 0 17 12 16 -0.0396246603858525
+4 0 0 0 0 18 12 16 0.223159251380213
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -0.34723280804116
+5 0 0 0 0 1 12 16 -0.0989793588236481
+5 0 0 0 0 2 12 16 0.166388520733717
+5 0 0 0 0 3 12 16 0.402986313463963
+5 0 0 0 0 4 12 16 0.569904111580568
+5 0 0 0 0 5 12 16 0.638280311388575
+5 0 0 0 0 6 12 16 0.596292046762909
+5 0 0 0 0 7 12 16 0.451199470108754
+5 0 0 0 0 8 12 16 0.228090406054292
+5 0 0 0 0 9 12 16 -0.0344575613432429
+5 0 0 0 0 10 12 16 -0.291047503347414
+5 0 0 0 0 11 12 16 -0.497312687939257
+5 0 0 0 0 12 12 16 -0.617587990842467
+5 0 0 0 0 13 12 16 -0.631076719518255
+5 0 0 0 0 14 12 16 -0.535446550237324
+5 0 0 0 0 15 12 16 -0.34723280804116
+5 0 0 0 0 16 12 16 -0.0989793588236481
+5 0 0 0 0 17 12 16 0.166388520733717
+5 0 0 0 0 18 12 16 0.402986313463963
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -0.157316535477104
+6 0 0 0 0 1 12 16 0.108328421385471
+6 0 0 0 0 2 12 16 0.355242410057684
+6 0 0 0 0 3 12 16 0.540731758754941
+6 0 0 0 0 4 12 16 0.632723673969661
+6 0 0 0 0 5 12 16 0.615311917840902
+6 0 0 0 0 6 12 16 0.491507141184166
+6 0 0 0 0 7 12 16 0.282716314614489
+6 0 0 0 0 8 12 16 0.0250412688508799
+6 0 0 0 0 9 12 16 -0.236963639789832
+6 0 0 0 0 10 12 16 -0.457995382363797
+6 0 0 0 0 11 12 16 -0.599835562569634
+6 0 0 0 0 12 12 16 -0.637958724672169
+6 0 0 0 0 13 12 16 -0.56577302760582
+6 0 0 0 0 14 12 16 -0.395760034179828
+6 0 0 0 0 15 12 16 -0.157316535477104
+6 0 0 0 0 16 12 16 0.108328421385471
+6 0 0 0 0 17 12 16 0.355242410057684
+6 0 0 0 0 18 12 16 0.540731758754941
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vx.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vx.yl
new file mode 100644
index 000000000..8dd2b03f5
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vx.yl
@@ -0,0 +1,219 @@
+# HYDROTOY::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -0.611144992588299
+0 0 0 0 0 9 1 16 -0.636945771771587
+0 0 0 0 0 9 2 16 -0.611144992588303
+0 0 0 0 0 9 3 16 -0.535832880724733
+0 0 0 0 0 9 4 16 -0.417110775585691
+0 0 0 0 0 9 5 16 -0.264596836061994
+0 0 0 0 0 9 6 16 -0.0906468344985295
+0 0 0 0 0 9 7 16 0.0906468344985235
+0 0 0 0 0 9 8 16 0.264596836061988
+0 0 0 0 0 9 9 16 0.417110775585686
+0 0 0 0 0 9 10 16 0.53583288072473
+0 0 0 0 0 9 11 16 0.611144992588301
+0 0 0 0 0 9 12 16 0.636945771771587
+0 0 0 0 0 9 13 16 0.611144992588301
+0 0 0 0 0 9 14 16 0.53583288072473
+0 0 0 0 0 9 15 16 0.417110775585686
+0 0 0 0 0 9 16 16 0.264596836061988
+0 0 0 0 0 9 17 16 0.0906468344985234
+0 0 0 0 0 9 18 16 -0.0906468344985296
+0 0 0 0 0 9 19 16 -0.264596836061994
+0 0 0 0 0 9 20 16 -0.417110775585691
+0 0 0 0 0 9 21 16 -0.535832880724734
+0 0 0 0 0 9 22 16 -0.611144992588303
+0 0 0 0 0 9 23 16 -0.636945771771587
+0 0 0 0 0 9 24 16 -0.611144992588299
+0 0 0 0 0 9 25 16 -0.535832880724727
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 -0.637195713383579
+1 0 0 0 0 9 1 16 -0.604381951846523
+1 0 0 0 0 9 2 16 -0.522604758968737
+1 0 0 0 0 9 3 16 -0.398489236569475
+1 0 0 0 0 9 4 16 -0.242090486130096
+1 0 0 0 0 9 5 16 -0.0660790042720144
+1 0 0 0 0 9 6 16 0.115285805525215
+1 0 0 0 0 9 7 16 0.287310844989877
+1 0 0 0 0 9 8 16 0.436059668496847
+1 0 0 0 0 9 9 16 0.549481531008906
+1 0 0 0 0 9 10 16 0.618387667771117
+1 0 0 0 0 9 11 16 0.637195713383579
+1 0 0 0 0 9 12 16 0.604381951846525
+1 0 0 0 0 9 13 16 0.522604758968734
+1 0 0 0 0 9 14 16 0.39848923656947
+1 0 0 0 0 9 15 16 0.24209048613009
+1 0 0 0 0 9 16 16 0.0660790042720083
+1 0 0 0 0 9 17 16 -0.115285805525221
+1 0 0 0 0 9 18 16 -0.287310844989883
+1 0 0 0 0 9 19 16 -0.436059668496852
+1 0 0 0 0 9 20 16 -0.54948153100891
+1 0 0 0 0 9 21 16 -0.618387667771118
+1 0 0 0 0 9 22 16 -0.637195713383579
+1 0 0 0 0 9 23 16 -0.604381951846523
+1 0 0 0 0 9 24 16 -0.522604758968737
+1 0 0 0 0 9 25 16 -0.398489236569475
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 -0.59648290094983
+2 0 0 0 0 9 1 16 -0.508360375451156
+2 0 0 0 0 9 2 16 -0.379053515669004
+2 0 0 0 0 9 3 16 -0.2190379943654
+2 0 0 0 0 9 4 16 -0.0412773174274225
+2 0 0 0 0 9 5 16 0.139827402282866
+2 0 0 0 0 9 6 16 0.309604137445777
+2 0 0 0 0 9 7 16 0.454298586679535
+2 0 0 0 0 9 8 16 0.562188466238243
+2 0 0 0 0 9 9 16 0.624533179725876
+2 0 0 0 0 9 10 16 0.636281929233952
+2 0 0 0 0 9 11 16 0.596482900949832
+2 0 0 0 0 9 12 16 0.508360375451159
+2 0 0 0 0 9 13 16 0.379053515668998
+2 0 0 0 0 9 14 16 0.219037994365394
+2 0 0 0 0 9 15 16 0.0412773174274162
+2 0 0 0 0 9 16 16 -0.139827402282872
+2 0 0 0 0 9 17 16 -0.309604137445783
+2 0 0 0 0 9 18 16 -0.454298586679539
+2 0 0 0 0 9 19 16 -0.562188466238246
+2 0 0 0 0 9 20 16 -0.624533179725877
+2 0 0 0 0 9 21 16 -0.636281929233952
+2 0 0 0 0 9 22 16 -0.59648290094983
+2 0 0 0 0 9 23 16 -0.508360375451156
+2 0 0 0 0 9 24 16 -0.379053515669004
+2 0 0 0 0 9 25 16 -0.2190379943654
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 -0.493113583217527
+3 0 0 0 0 9 1 16 -0.358814710696291
+3 0 0 0 0 9 2 16 -0.195446804267703
+3 0 0 0 0 9 3 16 -0.0162449601242362
+3 0 0 0 0 9 4 16 0.164272954075997
+3 0 0 0 0 9 5 16 0.331482450505869
+3 0 0 0 0 9 6 16 0.471837210197796
+3 0 0 0 0 9 7 16 0.573966525243435
+3 0 0 0 0 9 8 16 0.629596485924211
+3 0 0 0 0 9 9 16 0.634220283669883
+3 0 0 0 0 9 10 16 0.587463325885882
+3 0 0 0 0 9 11 16 0.493113583217531
+3 0 0 0 0 9 12 16 0.358814710696295
+3 0 0 0 0 9 13 16 0.195446804267697
+3 0 0 0 0 9 14 16 0.0162449601242304
+3 0 0 0 0 9 15 16 -0.164272954076003
+3 0 0 0 0 9 16 16 -0.331482450505874
+3 0 0 0 0 9 17 16 -0.4718372101978
+3 0 0 0 0 9 18 16 -0.573966525243437
+3 0 0 0 0 9 19 16 -0.629596485924212
+3 0 0 0 0 9 20 16 -0.634220283669883
+3 0 0 0 0 9 21 16 -0.587463325885879
+3 0 0 0 0 9 22 16 -0.493113583217527
+3 0 0 0 0 9 23 16 -0.358814710696291
+3 0 0 0 0 9 24 16 -0.195446804267703
+3 0 0 0 0 9 25 16 -0.0162449601242362
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 -0.337796446653127
+4 0 0 0 0 9 1 16 -0.17133496444037
+4 0 0 0 0 9 2 16 0.00900705762306821
+4 0 0 0 0 9 3 16 0.188619381444931
+4 0 0 0 0 9 4 16 0.352950884744777
+4 0 0 0 0 9 5 16 0.488688406442338
+4 0 0 0 0 9 6 16 0.584835299791801
+4 0 0 0 0 9 7 16 0.633602315301583
+4 0 0 0 0 9 8 16 0.631038639403692
+4 0 0 0 0 9 9 16 0.577351965872606
+4 0 0 0 0 9 10 16 0.476891669710873
+4 0 0 0 0 9 11 16 0.337796446653131
+4 0 0 0 0 9 12 16 0.171334964440373
+4 0 0 0 0 9 13 16 -0.00900705762307509
+4 0 0 0 0 9 14 16 -0.188619381444936
+4 0 0 0 0 9 15 16 -0.352950884744783
+4 0 0 0 0 9 16 16 -0.488688406442342
+4 0 0 0 0 9 17 16 -0.584835299791803
+4 0 0 0 0 9 18 16 -0.633602315301584
+4 0 0 0 0 9 19 16 -0.631038639403691
+4 0 0 0 0 9 20 16 -0.577351965872604
+4 0 0 0 0 9 21 16 -0.476891669710869
+4 0 0 0 0 9 22 16 -0.337796446653127
+4 0 0 0 0 9 23 16 -0.17133496444037
+4 0 0 0 0 9 24 16 0.00900705762306821
+4 0 0 0 0 9 25 16 0.188619381444931
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 -0.146732746204847
+5 0 0 0 0 9 1 16 0.0344575613432452
+5 0 0 0 0 9 2 16 0.212856322198309
+5 0 0 0 0 9 3 16 0.374010729734168
+5 0 0 0 0 9 4 16 0.504865012274416
+5 0 0 0 0 9 5 16 0.594818134068033
+5 0 0 0 0 9 6 16 0.63658262815911
+5 0 0 0 0 9 7 16 0.6267749836194
+5 0 0 0 0 9 8 16 0.566189757481202
+5 0 0 0 0 9 9 16 0.459735204452018
+5 0 0 0 0 9 10 16 0.31603563930867
+5 0 0 0 0 9 11 16 0.146732746204851
+5 0 0 0 0 9 12 16 -0.0344575613432429
+5 0 0 0 0 9 13 16 -0.212856322198315
+5 0 0 0 0 9 14 16 -0.374010729734171
+5 0 0 0 0 9 15 16 -0.50486501227442
+5 0 0 0 0 9 16 16 -0.594818134068035
+5 0 0 0 0 9 17 16 -0.63658262815911
+5 0 0 0 0 9 18 16 -0.626774983619399
+5 0 0 0 0 9 19 16 -0.566189757481199
+5 0 0 0 0 9 20 16 -0.459735204452014
+5 0 0 0 0 9 21 16 -0.316035639308665
+5 0 0 0 0 9 22 16 -0.146732746204847
+5 0 0 0 0 9 23 16 0.0344575613432452
+5 0 0 0 0 9 24 16 0.212856322198309
+5 0 0 0 0 9 25 16 0.374010729734168
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 0.0600734663797312
+6 0 0 0 0 9 1 16 0.236963639789833
+6 0 0 0 0 9 2 16 0.394656428381187
+6 0 0 0 0 9 3 16 0.520376500257261
+6 0 0 0 0 9 4 16 0.603938762880696
+6 0 0 0 0 9 5 16 0.638573498697662
+6 0 0 0 0 9 6 16 0.621474807392969
+6 0 0 0 0 9 7 16 0.554027923246292
+6 0 0 0 0 9 8 16 0.441696991689129
+6 0 0 0 0 9 9 16 0.293582396738469
+6 0 0 0 0 9 10 16 0.121683502005799
+6 0 0 0 0 9 11 16 -0.0600734663797285
+6 0 0 0 0 9 12 16 -0.236963639789832
+6 0 0 0 0 9 13 16 -0.394656428381192
+6 0 0 0 0 9 14 16 -0.520376500257262
+6 0 0 0 0 9 15 16 -0.603938762880698
+6 0 0 0 0 9 16 16 -0.638573498697663
+6 0 0 0 0 9 17 16 -0.621474807392968
+6 0 0 0 0 9 18 16 -0.554027923246289
+6 0 0 0 0 9 19 16 -0.441696991689125
+6 0 0 0 0 9 20 16 -0.293582396738464
+6 0 0 0 0 9 21 16 -0.121683502005794
+6 0 0 0 0 9 22 16 0.0600734663797312
+6 0 0 0 0 9 23 16 0.236963639789833
+6 0 0 0 0 9 24 16 0.394656428381187
+6 0 0 0 0 9 25 16 0.520376500257261
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vx.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vx.zl
new file mode 100644
index 000000000..7f168ca87
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vx.zl
@@ -0,0 +1,275 @@
+# HYDROTOY::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 0.581878916566596
+0 0 0 0 0 9 12 1 0.636945771771587
+0 0 0 0 0 9 12 2 0.581878916566593
+0 0 0 0 0 9 12 3 0.42619991048323
+0 0 0 0 0 9 12 4 0.196827067972683
+0 0 0 0 0 9 12 5 -0.0665789627081168
+0 0 0 0 0 9 12 6 -0.318472885885796
+0 0 0 0 0 9 12 7 -0.515299953858482
+0 0 0 0 0 9 12 8 -0.62302697845592
+0 0 0 0 0 9 12 9 -0.62302697845592
+0 0 0 0 0 9 12 10 -0.515299953858479
+0 0 0 0 0 9 12 11 -0.318472885885792
+0 0 0 0 0 9 12 12 -0.0665789627081123
+0 0 0 0 0 9 12 13 0.196827067972688
+0 0 0 0 0 9 12 14 0.426199910483233
+0 0 0 0 0 9 12 15 0.581878916566594
+0 0 0 0 0 9 12 16 0.636945771771587
+0 0 0 0 0 9 12 17 0.581878916566594
+0 0 0 0 0 9 12 18 0.426199910483233
+0 0 0 0 0 9 12 19 0.196827067972688
+0 0 0 0 0 9 12 20 -0.0665789627081124
+0 0 0 0 0 9 12 21 -0.318472885885792
+0 0 0 0 0 9 12 22 -0.515299953858479
+0 0 0 0 0 9 12 23 -0.62302697845592
+0 0 0 0 0 9 12 24 -0.62302697845592
+0 0 0 0 0 9 12 25 -0.515299953858482
+0 0 0 0 0 9 12 26 -0.318472885885796
+0 0 0 0 0 9 12 27 -0.0665789627081168
+0 0 0 0 0 9 12 28 0.196827067972684
+0 0 0 0 0 9 12 29 0.42619991048323
+0 0 0 0 0 9 12 30 0.581878916566593
+0 0 0 0 0 9 12 31 0.636945771771587
+0 0 0 0 0 9 12 32 0.581878916566596
+0 0 0 0 0 9 12 33 0.426199910483237
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 0.634847735200847
+1 0 0 0 0 9 12 1 0.604381951846527
+1 0 0 0 0 9 12 2 0.469413038380274
+1 0 0 0 0 9 12 3 0.253278346094499
+1 0 0 0 0 9 12 4 -0.00665047319255442
+1 0 0 0 0 9 12 5 -0.265429365246962
+1 0 0 0 0 9 12 6 -0.478313108700088
+1 0 0 0 0 9 12 7 -0.608492170320792
+1 0 0 0 0 9 12 8 -0.633457407715207
+1 0 0 0 0 9 12 9 -0.548892104535778
+1 0 0 0 0 9 12 10 -0.369418369953887
+1 0 0 0 0 9 12 11 -0.126068843146438
+1 0 0 0 0 9 12 12 0.139079131940516
+1 0 0 0 0 9 12 13 0.380179061620706
+1 0 0 0 0 9 12 14 0.555542577728329
+1 0 0 0 0 9 12 15 0.634847735200848
+1 0 0 0 0 9 12 16 0.604381951846525
+1 0 0 0 0 9 12 17 0.469413038380277
+1 0 0 0 0 9 12 18 0.253278346094503
+1 0 0 0 0 9 12 19 -0.00665047319254941
+1 0 0 0 0 9 12 20 -0.265429365246958
+1 0 0 0 0 9 12 21 -0.478313108700085
+1 0 0 0 0 9 12 22 -0.608492170320791
+1 0 0 0 0 9 12 23 -0.633457407715208
+1 0 0 0 0 9 12 24 -0.54889210453578
+1 0 0 0 0 9 12 25 -0.369418369953891
+1 0 0 0 0 9 12 26 -0.126068843146442
+1 0 0 0 0 9 12 27 0.139079131940511
+1 0 0 0 0 9 12 28 0.380179061620702
+1 0 0 0 0 9 12 29 0.555542577728327
+1 0 0 0 0 9 12 30 0.634847735200847
+1 0 0 0 0 9 12 31 0.604381951846527
+1 0 0 0 0 9 12 32 0.469413038380274
+1 0 0 0 0 9 12 33 0.253278346094499
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 0.621361463077224
+2 0 0 0 0 9 12 1 0.508360375451162
+2 0 0 0 0 9 12 2 0.307459160600561
+2 0 0 0 0 9 12 3 0.0533954637033426
+2 0 0 0 0 9 12 4 -0.209900793950744
+2 0 0 0 0 9 12 5 -0.436903297441897
+2 0 0 0 0 9 12 6 -0.588361251663495
+2 0 0 0 0 9 12 7 -0.638086200378305
+2 0 0 0 0 9 12 8 -0.577480248216559
+2 0 0 0 0 9 12 9 -0.417022714894814
+2 0 0 0 0 9 12 10 -0.184458165635327
+2 0 0 0 0 9 12 11 0.0800008762123356
+2 0 0 0 0 9 12 12 0.330627039777741
+2 0 0 0 0 9 12 13 0.524084784513215
+2 0 0 0 0 9 12 14 0.626923508845556
+2 0 0 0 0 9 12 15 0.621361463077223
+2 0 0 0 0 9 12 16 0.508360375451159
+2 0 0 0 0 9 12 17 0.307459160600565
+2 0 0 0 0 9 12 18 0.0533954637033469
+2 0 0 0 0 9 12 19 -0.209900793950739
+2 0 0 0 0 9 12 20 -0.436903297441893
+2 0 0 0 0 9 12 21 -0.588361251663493
+2 0 0 0 0 9 12 22 -0.638086200378305
+2 0 0 0 0 9 12 23 -0.577480248216561
+2 0 0 0 0 9 12 24 -0.417022714894818
+2 0 0 0 0 9 12 25 -0.184458165635331
+2 0 0 0 0 9 12 26 0.080000876212331
+2 0 0 0 0 9 12 27 0.330627039777737
+2 0 0 0 0 9 12 28 0.524084784513212
+2 0 0 0 0 9 12 29 0.626923508845555
+2 0 0 0 0 9 12 30 0.621361463077224
+2 0 0 0 0 9 12 31 0.508360375451162
+2 0 0 0 0 9 12 32 0.307459160600561
+2 0 0 0 0 9 12 33 0.0533954637033426
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 0.542663970499057
+3 0 0 0 0 9 12 1 0.358814710696298
+3 0 0 0 0 9 12 2 0.112923127684829
+3 0 0 0 0 9 12 3 -0.152493889977748
+3 0 0 0 0 9 12 4 -0.391543328699675
+3 0 0 0 0 9 12 5 -0.562891368829955
+3 0 0 0 0 9 12 6 -0.636910377581988
+3 0 0 0 0 9 12 7 -0.600801795900964
+3 0 0 0 0 9 12 8 -0.460809125595696
+3 0 0 0 0 9 12 9 -0.241138371155451
+3 0 0 0 0 9 12 10 0.0202273983309004
+3 0 0 0 0 9 12 11 0.278095666885694
+3 0 0 0 0 9 12 12 0.487878668216131
+3 0 0 0 0 9 12 13 0.613303015573443
+3 0 0 0 0 9 12 14 0.632681699855125
+3 0 0 0 0 9 12 15 0.542663970499055
+3 0 0 0 0 9 12 16 0.358814710696295
+3 0 0 0 0 9 12 17 0.112923127684834
+3 0 0 0 0 9 12 18 -0.152493889977744
+3 0 0 0 0 9 12 19 -0.391543328699671
+3 0 0 0 0 9 12 20 -0.562891368829953
+3 0 0 0 0 9 12 21 -0.636910377581988
+3 0 0 0 0 9 12 22 -0.600801795900965
+3 0 0 0 0 9 12 23 -0.460809125595699
+3 0 0 0 0 9 12 24 -0.241138371155455
+3 0 0 0 0 9 12 25 0.0202273983308956
+3 0 0 0 0 9 12 26 0.27809566688569
+3 0 0 0 0 9 12 27 0.487878668216128
+3 0 0 0 0 9 12 28 0.613303015573441
+3 0 0 0 0 9 12 29 0.632681699855126
+3 0 0 0 0 9 12 30 0.542663970499057
+3 0 0 0 0 9 12 31 0.358814710696298
+3 0 0 0 0 9 12 32 0.112923127684829
+3 0 0 0 0 9 12 33 -0.152493889977748
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 0.406861988467461
+4 0 0 0 0 9 12 1 0.171334964440375
+4 0 0 0 0 9 12 2 -0.0938174314677452
+4 0 0 0 0 9 12 3 -0.342747941170475
+4 0 0 0 0 9 12 4 -0.53241421807754
+4 0 0 0 0 9 12 5 -0.630021239847671
+4 0 0 0 0 9 12 6 -0.61869186568486
+4 0 0 0 0 9 12 7 -0.500385047305989
+4 0 0 0 0 9 12 8 -0.295557108392468
+4 0 0 0 0 9 12 9 -0.0396246603858536
+4 0 0 0 0 9 12 10 0.223159251380214
+4 0 0 0 0 9 12 11 0.447356901244488
+4 0 0 0 0 9 12 12 0.594202478773731
+4 0 0 0 0 9 12 13 0.638305049562943
+4 0 0 0 0 9 12 14 0.572038878463393
+4 0 0 0 0 9 12 15 0.406861988467459
+4 0 0 0 0 9 12 16 0.171334964440373
+4 0 0 0 0 9 12 17 -0.0938174314677396
+4 0 0 0 0 9 12 18 -0.342747941170472
+4 0 0 0 0 9 12 19 -0.532414218077537
+4 0 0 0 0 9 12 20 -0.630021239847671
+4 0 0 0 0 9 12 21 -0.618691865684861
+4 0 0 0 0 9 12 22 -0.500385047305992
+4 0 0 0 0 9 12 23 -0.295557108392472
+4 0 0 0 0 9 12 24 -0.0396246603858582
+4 0 0 0 0 9 12 25 0.223159251380209
+4 0 0 0 0 9 12 26 0.447356901244485
+4 0 0 0 0 9 12 27 0.594202478773729
+4 0 0 0 0 9 12 28 0.638305049562943
+4 0 0 0 0 9 12 29 0.572038878463395
+4 0 0 0 0 9 12 30 0.406861988467461
+4 0 0 0 0 9 12 31 0.171334964440375
+4 0 0 0 0 9 12 32 -0.0938174314677452
+4 0 0 0 0 9 12 33 -0.342747941170475
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 0.228090406054295
+5 0 0 0 0 9 12 1 -0.0344575613432415
+5 0 0 0 0 9 12 2 -0.29104750334742
+5 0 0 0 0 9 12 3 -0.497312687939259
+5 0 0 0 0 9 12 4 -0.617587990842469
+5 0 0 0 0 9 12 5 -0.631076719518255
+5 0 0 0 0 9 12 6 -0.535446550237322
+5 0 0 0 0 9 12 7 -0.347232808041159
+5 0 0 0 0 9 12 8 -0.0989793588236489
+5 0 0 0 0 9 12 9 0.166388520733715
+5 0 0 0 0 9 12 10 0.402986313463964
+5 0 0 0 0 9 12 11 0.569904111580567
+5 0 0 0 0 9 12 12 0.638280311388576
+5 0 0 0 0 9 12 13 0.596292046762908
+5 0 0 0 0 9 12 14 0.451199470108754
+5 0 0 0 0 9 12 15 0.228090406054293
+5 0 0 0 0 9 12 16 -0.0344575613432429
+5 0 0 0 0 9 12 17 -0.291047503347414
+5 0 0 0 0 9 12 18 -0.497312687939257
+5 0 0 0 0 9 12 19 -0.617587990842467
+5 0 0 0 0 9 12 20 -0.631076719518255
+5 0 0 0 0 9 12 21 -0.535446550237325
+5 0 0 0 0 9 12 22 -0.347232808041163
+5 0 0 0 0 9 12 23 -0.0989793588236532
+5 0 0 0 0 9 12 24 0.166388520733711
+5 0 0 0 0 9 12 25 0.40298631346396
+5 0 0 0 0 9 12 26 0.569904111580566
+5 0 0 0 0 9 12 27 0.638280311388575
+5 0 0 0 0 9 12 28 0.59629204676291
+5 0 0 0 0 9 12 29 0.451199470108757
+5 0 0 0 0 9 12 30 0.228090406054295
+5 0 0 0 0 9 12 31 -0.0344575613432415
+5 0 0 0 0 9 12 32 -0.29104750334742
+5 0 0 0 0 9 12 33 -0.497312687939259
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 0.025041268850882
+6 0 0 0 0 9 12 1 -0.236963639789831
+6 0 0 0 0 9 12 2 -0.457995382363801
+6 0 0 0 0 9 12 3 -0.599835562569633
+6 0 0 0 0 9 12 4 -0.63795872467217
+6 0 0 0 0 9 12 5 -0.565773027605818
+6 0 0 0 0 9 12 6 -0.395760034179826
+6 0 0 0 0 9 12 7 -0.157316535477102
+6 0 0 0 0 9 12 8 0.10832842138547
+6 0 0 0 0 9 12 9 0.355242410057682
+6 0 0 0 0 9 12 10 0.540731758754941
+6 0 0 0 0 9 12 11 0.63272367396966
+6 0 0 0 0 9 12 12 0.615311917840902
+6 0 0 0 0 9 12 13 0.491507141184166
+6 0 0 0 0 9 12 14 0.282716314614489
+6 0 0 0 0 9 12 15 0.02504126885088
+6 0 0 0 0 9 12 16 -0.236963639789832
+6 0 0 0 0 9 12 17 -0.457995382363797
+6 0 0 0 0 9 12 18 -0.599835562569634
+6 0 0 0 0 9 12 19 -0.637958724672169
+6 0 0 0 0 9 12 20 -0.565773027605821
+6 0 0 0 0 9 12 21 -0.395760034179829
+6 0 0 0 0 9 12 22 -0.157316535477107
+6 0 0 0 0 9 12 23 0.108328421385466
+6 0 0 0 0 9 12 24 0.355242410057678
+6 0 0 0 0 9 12 25 0.540731758754938
+6 0 0 0 0 9 12 26 0.63272367396966
+6 0 0 0 0 9 12 27 0.615311917840903
+6 0 0 0 0 9 12 28 0.491507141184169
+6 0 0 0 0 9 12 29 0.282716314614493
+6 0 0 0 0 9 12 30 0.025041268850882
+6 0 0 0 0 9 12 31 -0.236963639789831
+6 0 0 0 0 9 12 32 -0.457995382363801
+6 0 0 0 0 9 12 33 -0.599835562569633
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vy.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vy.xl
new file mode 100644
index 000000000..b803ef4f4
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vy.xl
@@ -0,0 +1,170 @@
+# HYDROTOY::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -0.351340877630785
+0 0 0 0 0 1 12 16 -0.424791121674493
+0 0 0 0 0 2 12 16 -0.424791121674492
+0 0 0 0 0 3 12 16 -0.351340877630783
+0 0 0 0 0 4 12 16 -0.217140604013041
+0 0 0 0 0 5 12 16 -0.045394747300986
+0 0 0 0 0 6 12 16 0.134200273617742
+0 0 0 0 0 7 12 16 0.290590848056751
+0 0 0 0 0 8 12 16 0.39673562493177
+0 0 0 0 0 9 12 16 0.434281208026084
+0 0 0 0 0 10 12 16 0.39673562493177
+0 0 0 0 0 11 12 16 0.290590848056751
+0 0 0 0 0 12 12 16 0.134200273617742
+0 0 0 0 0 13 12 16 -0.045394747300986
+0 0 0 0 0 14 12 16 -0.217140604013041
+0 0 0 0 0 15 12 16 -0.351340877630783
+0 0 0 0 0 16 12 16 -0.424791121674492
+0 0 0 0 0 17 12 16 -0.424791121674493
+0 0 0 0 0 18 12 16 -0.351340877630785
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -0.415891937557671
+1 0 0 0 0 1 12 16 -0.432015923162627
+1 0 0 0 0 2 12 16 -0.373440430911314
+1 0 0 0 0 3 12 16 -0.250293695555626
+1 0 0 0 0 4 12 16 -0.0838689063915308
+1 0 0 0 0 5 12 16 0.0970575786127553
+1 0 0 0 0 6 12 16 0.261201926534475
+1 0 0 0 0 7 12 16 0.380182088413377
+1 0 0 0 0 8 12 16 0.433425313359762
+1 0 0 0 0 9 12 16 0.411725364080886
+1 0 0 0 0 10 12 16 0.318834358944916
+1 0 0 0 0 11 12 16 0.170813996628152
+1 0 0 0 0 12 12 16 -0.00674165750206195
+1 0 0 0 0 13 12 16 -0.183131617804134
+1 0 0 0 0 14 12 16 -0.327856457689353
+1 0 0 0 0 15 12 16 -0.415891937557671
+1 0 0 0 0 16 12 16 -0.432015923162627
+1 0 0 0 0 17 12 16 -0.373440430911314
+1 0 0 0 0 18 12 16 -0.250293695555626
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -0.436390709668035
+2 0 0 0 0 1 12 16 -0.393242459943245
+2 0 0 0 0 2 12 16 -0.282099016398671
+2 0 0 0 0 3 12 16 -0.122178090129659
+2 0 0 0 0 4 12 16 0.0588685378758739
+2 0 0 0 0 5 12 16 0.229736260878792
+2 0 0 0 0 6 12 16 0.360880497287357
+2 0 0 0 0 7 12 16 0.429625217218545
+2 0 0 0 0 8 12 16 0.424083834070078
+2 0 0 0 0 9 12 16 0.345214503330211
+2 0 0 0 0 10 12 16 0.206654448789244
+2 0 0 0 0 11 12 16 0.0323619626558881
+2 0 0 0 0 12 12 16 -0.147526200819872
+2 0 0 0 0 13 12 16 -0.301905743940417
+2 0 0 0 0 14 12 16 -0.404083041206084
+2 0 0 0 0 15 12 16 -0.436390709668035
+2 0 0 0 0 16 12 16 -0.393242459943245
+2 0 0 0 0 17 12 16 -0.282099016398671
+2 0 0 0 0 18 12 16 -0.122178090129659
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -0.410565078310416
+3 0 0 0 0 1 12 16 -0.31242836501202
+3 0 0 0 0 2 12 16 -0.160269949080453
+3 0 0 0 0 3 12 16 0.019600597053901
+3 0 0 0 0 4 12 16 0.196082021891802
+3 0 0 0 0 5 12 16 0.338659083795364
+3 0 0 0 0 6 12 16 0.422678913489517
+3 0 0 0 0 7 12 16 0.433613719123954
+3 0 0 0 0 8 12 16 0.369572773464887
+3 0 0 0 0 9 12 16 0.241629337810498
+3 0 0 0 0 10 12 16 0.0719059945150529
+3 0 0 0 0 11 12 16 -0.110250548477497
+3 0 0 0 0 12 12 16 -0.273343770043499
+3 0 0 0 0 13 12 16 -0.389173370518787
+3 0 0 0 0 14 12 16 -0.437711359702299
+3 0 0 0 0 15 12 16 -0.410565078310416
+3 0 0 0 0 16 12 16 -0.31242836501202
+3 0 0 0 0 17 12 16 -0.160269949080453
+3 0 0 0 0 18 12 16 0.019600597053901
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -0.341009832150574
+4 0 0 0 0 1 12 16 -0.197963946518029
+4 0 0 0 0 2 12 16 -0.02068829608652
+4 0 0 0 0 3 12 16 0.160164548685615
+4 0 0 0 0 4 12 16 0.313323487940762
+4 0 0 0 0 5 12 16 0.412305949676424
+4 0 0 0 0 6 12 16 0.43999696703107
+4 0 0 0 0 7 12 16 0.391608511539087
+4 0 0 0 0 8 12 16 0.275507386750355
+4 0 0 0 0 9 12 16 0.111768531886454
+4 0 0 0 0 10 12 16 -0.0712961175258505
+4 0 0 0 0 11 12 16 -0.242033020513042
+4 0 0 0 0 12 12 16 -0.370920215452565
+4 0 0 0 0 13 12 16 -0.43567193543597
+4 0 0 0 0 14 12 16 -0.425092019827216
+4 0 0 0 0 15 12 16 -0.341009832150574
+4 0 0 0 0 16 12 16 -0.197963946518029
+4 0 0 0 0 17 12 16 -0.02068829608652
+4 0 0 0 0 18 12 16 0.160164548685615
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -0.234926515860751
+5 0 0 0 0 1 12 16 -0.0618012649721795
+5 0 0 0 0 2 12 16 0.12200998607695
+5 0 0 0 0 3 12 16 0.284724602107445
+5 0 0 0 0 4 12 16 0.398207747791759
+5 0 0 0 0 5 12 16 0.442837156279058
+5 0 0 0 0 6 12 16 0.410895997396441
+5 0 0 0 0 7 12 16 0.307907187691032
+5 0 0 0 0 8 12 16 0.151678427984859
+5 0 0 0 0 9 12 16 -0.0307769098751558
+5 0 0 0 0 10 12 16 -0.207910640418307
+5 0 0 0 0 11 12 16 -0.349094732424262
+5 0 0 0 0 12 12 16 -0.42991717376798
+5 0 0 0 0 13 12 16 -0.436403030092304
+5 0 0 0 0 14 12 16 -0.367430837916603
+5 0 0 0 0 15 12 16 -0.234926515860751
+5 0 0 0 0 16 12 16 -0.0618012649721795
+5 0 0 0 0 17 12 16 0.12200998607695
+5 0 0 0 0 18 12 16 0.284724602107445
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -0.103378011524754
+6 0 0 0 0 1 12 16 0.0817937416880688
+6 0 0 0 0 2 12 16 0.25282261389021
+6 0 0 0 0 3 12 16 0.38013615932939
+6 0 0 0 0 4 12 16 0.441720709391928
+6 0 0 0 0 5 12 16 0.426927735893935
+6 0 0 0 0 6 12 16 0.338315078343162
+6 0 0 0 0 7 12 16 0.191204670250857
+6 0 0 0 0 8 12 16 0.011033237632282
+6 0 0 0 0 9 12 16 -0.171045942006732
+6 0 0 0 0 10 12 16 -0.323549724369182
+6 0 0 0 0 11 12 16 -0.420108820031231
+6 0 0 0 0 12 12 16 -0.444027284141066
+6 0 0 0 0 13 12 16 -0.391169396961672
+6 0 0 0 0 14 12 16 -0.270674767385196
+6 0 0 0 0 15 12 16 -0.103378011524754
+6 0 0 0 0 16 12 16 0.0817937416880688
+6 0 0 0 0 17 12 16 0.25282261389021
+6 0 0 0 0 18 12 16 0.38013615932939
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vy.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vy.yl
new file mode 100644
index 000000000..f963029e8
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vy.yl
@@ -0,0 +1,219 @@
+# HYDROTOY::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -0.416689767673842
+0 0 0 0 0 9 1 16 -0.434281208026084
+0 0 0 0 0 9 2 16 -0.416689767673844
+0 0 0 0 0 9 3 16 -0.365340600494138
+0 0 0 0 0 9 4 16 -0.284393710626609
+0 0 0 0 0 9 5 16 -0.180406933678633
+0 0 0 0 0 9 6 16 -0.0618046598853613
+0 0 0 0 0 9 7 16 0.0618046598853572
+0 0 0 0 0 9 8 16 0.180406933678629
+0 0 0 0 0 9 9 16 0.284393710626606
+0 0 0 0 0 9 10 16 0.365340600494136
+0 0 0 0 0 9 11 16 0.416689767673843
+0 0 0 0 0 9 12 16 0.434281208026084
+0 0 0 0 0 9 13 16 0.416689767673843
+0 0 0 0 0 9 14 16 0.365340600494136
+0 0 0 0 0 9 15 16 0.284393710626605
+0 0 0 0 0 9 16 16 0.180406933678629
+0 0 0 0 0 9 17 16 0.0618046598853571
+0 0 0 0 0 9 18 16 -0.0618046598853614
+0 0 0 0 0 9 19 16 -0.180406933678633
+0 0 0 0 0 9 20 16 -0.284393710626609
+0 0 0 0 0 9 21 16 -0.365340600494138
+0 0 0 0 0 9 22 16 -0.416689767673844
+0 0 0 0 0 9 23 16 -0.434281208026084
+0 0 0 0 0 9 24 16 -0.416689767673842
+0 0 0 0 0 9 25 16 -0.365340600494133
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 -0.434734210686685
+1 0 0 0 0 9 1 16 -0.411725364080886
+1 0 0 0 0 9 2 16 -0.355360977102279
+1 0 0 0 0 9 3 16 -0.270207357171949
+1 0 0 0 0 9 4 16 -0.163163144148577
+1 0 0 0 0 9 5 16 -0.0429004235548697
+1 0 0 0 0 9 6 16 0.0808378342166104
+1 0 0 0 0 9 7 16 0.198027091420972
+1 0 0 0 0 9 8 16 0.299173371390867
+1 0 0 0 0 9 9 16 0.376082404063222
+1 0 0 0 0 9 10 16 0.422523477006552
+1 0 0 0 0 9 11 16 0.434734210686685
+1 0 0 0 0 9 12 16 0.411725364080886
+1 0 0 0 0 9 13 16 0.355360977102275
+1 0 0 0 0 9 14 16 0.270207357171945
+1 0 0 0 0 9 15 16 0.163163144148573
+1 0 0 0 0 9 16 16 0.0429004235548656
+1 0 0 0 0 9 17 16 -0.0808378342166146
+1 0 0 0 0 9 18 16 -0.198027091420976
+1 0 0 0 0 9 19 16 -0.29917337139087
+1 0 0 0 0 9 20 16 -0.376082404063224
+1 0 0 0 0 9 21 16 -0.422523477006553
+1 0 0 0 0 9 22 16 -0.434734210686685
+1 0 0 0 0 9 23 16 -0.411725364080886
+1 0 0 0 0 9 24 16 -0.355360977102279
+1 0 0 0 0 9 25 16 -0.270207357171949
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 -0.406533838434933
+2 0 0 0 0 9 1 16 -0.345214503330214
+2 0 0 0 0 9 2 16 -0.255927942235384
+2 0 0 0 0 9 3 16 -0.145907621322717
+2 0 0 0 0 9 4 16 -0.0240667326765224
+2 0 0 0 0 9 5 16 0.0997238995207541
+2 0 0 0 0 9 6 16 0.215435494459725
+2 0 0 0 0 9 7 16 0.313693786881789
+2 0 0 0 0 9 8 16 0.386538474299475
+2 0 0 0 0 9 9 16 0.428068113362239
+2 0 0 0 0 9 10 16 0.43491821969949
+2 0 0 0 0 9 11 16 0.406533838434934
+2 0 0 0 0 9 12 16 0.345214503330211
+2 0 0 0 0 9 13 16 0.255927942235378
+2 0 0 0 0 9 14 16 0.145907621322713
+2 0 0 0 0 9 15 16 0.0240667326765182
+2 0 0 0 0 9 16 16 -0.099723899520758
+2 0 0 0 0 9 17 16 -0.215435494459729
+2 0 0 0 0 9 18 16 -0.313693786881792
+2 0 0 0 0 9 19 16 -0.386538474299477
+2 0 0 0 0 9 20 16 -0.42806811336224
+2 0 0 0 0 9 21 16 -0.434918219699489
+2 0 0 0 0 9 22 16 -0.406533838434933
+2 0 0 0 0 9 23 16 -0.345214503330214
+2 0 0 0 0 9 24 16 -0.255927942235384
+2 0 0 0 0 9 25 16 -0.145907621322717
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 -0.334933448650902
+3 0 0 0 0 9 1 16 -0.241629337810503
+3 0 0 0 0 9 2 16 -0.128749855045699
+3 0 0 0 0 9 3 16 -0.00543982472995432
+3 0 0 0 0 9 4 16 0.118310907833522
+3 0 0 0 0 9 5 16 0.232476794266388
+3 0 0 0 0 9 6 16 0.327808793420523
+3 0 0 0 0 9 7 16 0.396583673685688
+3 0 0 0 0 9 8 16 0.433229703282761
+3 0 0 0 0 9 9 16 0.434778038836117
+3 0 0 0 0 9 10 16 0.40110324340753
+3 0 0 0 0 9 11 16 0.334933448650904
+3 0 0 0 0 9 12 16 0.241629337810498
+3 0 0 0 0 9 13 16 0.12874985504569
+3 0 0 0 0 9 14 16 0.00543982472995024
+3 0 0 0 0 9 15 16 -0.118310907833526
+3 0 0 0 0 9 16 16 -0.232476794266392
+3 0 0 0 0 9 17 16 -0.327808793420526
+3 0 0 0 0 9 18 16 -0.396583673685689
+3 0 0 0 0 9 19 16 -0.433229703282761
+3 0 0 0 0 9 20 16 -0.434778038836117
+3 0 0 0 0 9 21 16 -0.401103243407529
+3 0 0 0 0 9 22 16 -0.334933448650902
+3 0 0 0 0 9 23 16 -0.241629337810503
+3 0 0 0 0 9 24 16 -0.128749855045699
+3 0 0 0 0 9 25 16 -0.00543982472995432
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 -0.227350582070024
+4 0 0 0 0 9 1 16 -0.111768531886463
+4 0 0 0 0 9 2 16 0.012868340037492
+4 0 0 0 0 9 3 16 0.136462695582585
+4 0 0 0 0 9 4 16 0.249001655106467
+4 0 0 0 0 9 5 16 0.341367981403489
+4 0 0 0 0 9 6 16 0.406078704040755
+4 0 0 0 0 9 7 16 0.437891345119682
+4 0 0 0 0 9 8 16 0.434228633657117
+4 0 0 0 0 9 9 16 0.395387300752772
+4 0 0 0 0 9 10 16 0.324514040200256
+4 0 0 0 0 9 11 16 0.227350582070025
+4 0 0 0 0 9 12 16 0.111768531886454
+4 0 0 0 0 9 13 16 -0.0128683400375039
+4 0 0 0 0 9 14 16 -0.136462695582588
+4 0 0 0 0 9 15 16 -0.249001655106472
+4 0 0 0 0 9 16 16 -0.341367981403491
+4 0 0 0 0 9 17 16 -0.406078704040756
+4 0 0 0 0 9 18 16 -0.437891345119682
+4 0 0 0 0 9 19 16 -0.434228633657116
+4 0 0 0 0 9 20 16 -0.39538730075277
+4 0 0 0 0 9 21 16 -0.324514040200255
+4 0 0 0 0 9 22 16 -0.227350582070024
+4 0 0 0 0 9 23 16 -0.111768531886463
+4 0 0 0 0 9 24 16 0.012868340037492
+4 0 0 0 0 9 25 16 0.136462695582585
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 -0.0950072936959622
+5 0 0 0 0 9 1 16 0.030776909875144
+5 0 0 0 0 9 2 16 0.154067751245506
+5 0 0 0 0 9 3 16 0.264876939686164
+5 0 0 0 0 9 4 16 0.354227373757255
+5 0 0 0 0 9 5 16 0.414880412677843
+5 0 0 0 0 9 6 16 0.44192230795209
+5 0 0 0 0 9 7 16 0.433162286049222
+5 0 0 0 0 9 8 16 0.389310031845953
+5 0 0 0 0 9 9 16 0.313918194178434
+5 0 0 0 0 9 10 16 0.213094571361964
+5 0 0 0 0 9 11 16 0.0950072936959618
+5 0 0 0 0 9 12 16 -0.0307769098751558
+5 0 0 0 0 9 13 16 -0.154067751245519
+5 0 0 0 0 9 14 16 -0.264876939686168
+5 0 0 0 0 9 15 16 -0.354227373757259
+5 0 0 0 0 9 16 16 -0.414880412677845
+5 0 0 0 0 9 17 16 -0.44192230795209
+5 0 0 0 0 9 18 16 -0.433162286049221
+5 0 0 0 0 9 19 16 -0.389310031845951
+5 0 0 0 0 9 20 16 -0.313918194178431
+5 0 0 0 0 9 21 16 -0.213094571361964
+5 0 0 0 0 9 22 16 -0.0950072936959622
+5 0 0 0 0 9 23 16 0.030776909875144
+5 0 0 0 0 9 24 16 0.154067751245506
+5 0 0 0 0 9 25 16 0.264876939686164
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 0.0482402942310665
+6 0 0 0 0 9 1 16 0.171045942006719
+6 0 0 0 0 9 2 16 0.279994464810382
+6 0 0 0 0 9 3 16 0.366259501266316
+6 0 0 0 0 9 4 16 0.422852371158769
+6 0 0 0 0 9 5 16 0.445188256739823
+6 0 0 0 0 9 6 16 0.431457637396323
+6 0 0 0 0 9 7 16 0.382772886248344
+6 0 0 0 0 9 8 16 0.303078152294531
+6 0 0 0 0 9 9 16 0.198829828916991
+6 0 0 0 0 9 10 16 0.0784734952871189
+6 0 0 0 0 9 11 16 -0.0482402942310689
+6 0 0 0 0 9 12 16 -0.171045942006732
+6 0 0 0 0 9 13 16 -0.279994464810395
+6 0 0 0 0 9 14 16 -0.36625950126632
+6 0 0 0 0 9 15 16 -0.422852371158772
+6 0 0 0 0 9 16 16 -0.445188256739823
+6 0 0 0 0 9 17 16 -0.431457637396322
+6 0 0 0 0 9 18 16 -0.382772886248342
+6 0 0 0 0 9 19 16 -0.303078152294529
+6 0 0 0 0 9 20 16 -0.198829828916988
+6 0 0 0 0 9 21 16 -0.0784734952871194
+6 0 0 0 0 9 22 16 0.0482402942310665
+6 0 0 0 0 9 23 16 0.171045942006719
+6 0 0 0 0 9 24 16 0.279994464810382
+6 0 0 0 0 9 25 16 0.366259501266316
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vy.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vy.zl
new file mode 100644
index 000000000..b3578a6e9
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vy.zl
@@ -0,0 +1,275 @@
+# HYDROTOY::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 0.396735624931772
+0 0 0 0 0 9 12 1 0.434281208026084
+0 0 0 0 0 9 12 2 0.396735624931769
+0 0 0 0 0 9 12 3 0.290590848056749
+0 0 0 0 0 9 12 4 0.134200273617739
+0 0 0 0 0 9 12 5 -0.0453947473009889
+0 0 0 0 0 9 12 6 -0.217140604013044
+0 0 0 0 0 9 12 7 -0.351340877630785
+0 0 0 0 0 9 12 8 -0.424791121674493
+0 0 0 0 0 9 12 9 -0.424791121674492
+0 0 0 0 0 9 12 10 -0.351340877630783
+0 0 0 0 0 9 12 11 -0.217140604013041
+0 0 0 0 0 9 12 12 -0.0453947473009859
+0 0 0 0 0 9 12 13 0.134200273617742
+0 0 0 0 0 9 12 14 0.290590848056751
+0 0 0 0 0 9 12 15 0.39673562493177
+0 0 0 0 0 9 12 16 0.434281208026084
+0 0 0 0 0 9 12 17 0.39673562493177
+0 0 0 0 0 9 12 18 0.290590848056751
+0 0 0 0 0 9 12 19 0.134200273617742
+0 0 0 0 0 9 12 20 -0.045394747300986
+0 0 0 0 0 9 12 21 -0.217140604013041
+0 0 0 0 0 9 12 22 -0.351340877630783
+0 0 0 0 0 9 12 23 -0.424791121674492
+0 0 0 0 0 9 12 24 -0.424791121674493
+0 0 0 0 0 9 12 25 -0.351340877630785
+0 0 0 0 0 9 12 26 -0.217140604013044
+0 0 0 0 0 9 12 27 -0.0453947473009889
+0 0 0 0 0 9 12 28 0.134200273617739
+0 0 0 0 0 9 12 29 0.290590848056749
+0 0 0 0 0 9 12 30 0.396735624931769
+0 0 0 0 0 9 12 31 0.434281208026084
+0 0 0 0 0 9 12 32 0.396735624931772
+0 0 0 0 0 9 12 33 0.290590848056754
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 0.433425313359762
+1 0 0 0 0 9 12 1 0.411725364080886
+1 0 0 0 0 9 12 2 0.318834358944915
+1 0 0 0 0 9 12 3 0.17081399662815
+1 0 0 0 0 9 12 4 -0.00674165750206535
+1 0 0 0 0 9 12 5 -0.183131617804137
+1 0 0 0 0 9 12 6 -0.327856457689355
+1 0 0 0 0 9 12 7 -0.415891937557671
+1 0 0 0 0 9 12 8 -0.432015923162627
+1 0 0 0 0 9 12 9 -0.373440430911314
+1 0 0 0 0 9 12 10 -0.250293695555626
+1 0 0 0 0 9 12 11 -0.0838689063915307
+1 0 0 0 0 9 12 12 0.0970575786127554
+1 0 0 0 0 9 12 13 0.261201926534475
+1 0 0 0 0 9 12 14 0.380182088413377
+1 0 0 0 0 9 12 15 0.433425313359762
+1 0 0 0 0 9 12 16 0.411725364080886
+1 0 0 0 0 9 12 17 0.318834358944916
+1 0 0 0 0 9 12 18 0.170813996628152
+1 0 0 0 0 9 12 19 -0.00674165750206186
+1 0 0 0 0 9 12 20 -0.183131617804134
+1 0 0 0 0 9 12 21 -0.327856457689353
+1 0 0 0 0 9 12 22 -0.415891937557671
+1 0 0 0 0 9 12 23 -0.432015923162627
+1 0 0 0 0 9 12 24 -0.373440430911315
+1 0 0 0 0 9 12 25 -0.250293695555629
+1 0 0 0 0 9 12 26 -0.0838689063915337
+1 0 0 0 0 9 12 27 0.0970575786127523
+1 0 0 0 0 9 12 28 0.261201926534473
+1 0 0 0 0 9 12 29 0.380182088413376
+1 0 0 0 0 9 12 30 0.433425313359762
+1 0 0 0 0 9 12 31 0.411725364080886
+1 0 0 0 0 9 12 32 0.318834358944915
+1 0 0 0 0 9 12 33 0.17081399662815
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 0.424083834070079
+2 0 0 0 0 9 12 1 0.345214503330213
+2 0 0 0 0 9 12 2 0.206654448789242
+2 0 0 0 0 9 12 3 0.0323619626558851
+2 0 0 0 0 9 12 4 -0.147526200819875
+2 0 0 0 0 9 12 5 -0.301905743940419
+2 0 0 0 0 9 12 6 -0.404083041206085
+2 0 0 0 0 9 12 7 -0.436390709668035
+2 0 0 0 0 9 12 8 -0.393242459943244
+2 0 0 0 0 9 12 9 -0.282099016398671
+2 0 0 0 0 9 12 10 -0.122178090129659
+2 0 0 0 0 9 12 11 0.058868537875874
+2 0 0 0 0 9 12 12 0.229736260878792
+2 0 0 0 0 9 12 13 0.360880497287357
+2 0 0 0 0 9 12 14 0.429625217218545
+2 0 0 0 0 9 12 15 0.424083834070078
+2 0 0 0 0 9 12 16 0.345214503330211
+2 0 0 0 0 9 12 17 0.206654448789244
+2 0 0 0 0 9 12 18 0.0323619626558882
+2 0 0 0 0 9 12 19 -0.147526200819872
+2 0 0 0 0 9 12 20 -0.301905743940417
+2 0 0 0 0 9 12 21 -0.404083041206084
+2 0 0 0 0 9 12 22 -0.436390709668035
+2 0 0 0 0 9 12 23 -0.393242459943245
+2 0 0 0 0 9 12 24 -0.282099016398674
+2 0 0 0 0 9 12 25 -0.122178090129662
+2 0 0 0 0 9 12 26 0.0588685378758712
+2 0 0 0 0 9 12 27 0.229736260878789
+2 0 0 0 0 9 12 28 0.360880497287356
+2 0 0 0 0 9 12 29 0.429625217218544
+2 0 0 0 0 9 12 30 0.424083834070079
+2 0 0 0 0 9 12 31 0.345214503330213
+2 0 0 0 0 9 12 32 0.206654448789242
+2 0 0 0 0 9 12 33 0.0323619626558851
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 0.369572773464889
+3 0 0 0 0 9 12 1 0.2416293378105
+3 0 0 0 0 9 12 2 0.0719059945150494
+3 0 0 0 0 9 12 3 -0.1102505484775
+3 0 0 0 0 9 12 4 -0.273343770043502
+3 0 0 0 0 9 12 5 -0.389173370518788
+3 0 0 0 0 9 12 6 -0.437711359702299
+3 0 0 0 0 9 12 7 -0.410565078310415
+3 0 0 0 0 9 12 8 -0.312428365012018
+3 0 0 0 0 9 12 9 -0.160269949080453
+3 0 0 0 0 9 12 10 0.0196005970539014
+3 0 0 0 0 9 12 11 0.196082021891802
+3 0 0 0 0 9 12 12 0.338659083795364
+3 0 0 0 0 9 12 13 0.422678913489517
+3 0 0 0 0 9 12 14 0.433613719123953
+3 0 0 0 0 9 12 15 0.369572773464887
+3 0 0 0 0 9 12 16 0.241629337810498
+3 0 0 0 0 9 12 17 0.0719059945150529
+3 0 0 0 0 9 12 18 -0.110250548477497
+3 0 0 0 0 9 12 19 -0.273343770043499
+3 0 0 0 0 9 12 20 -0.389173370518787
+3 0 0 0 0 9 12 21 -0.437711359702299
+3 0 0 0 0 9 12 22 -0.410565078310416
+3 0 0 0 0 9 12 23 -0.312428365012021
+3 0 0 0 0 9 12 24 -0.160269949080456
+3 0 0 0 0 9 12 25 0.019600597053898
+3 0 0 0 0 9 12 26 0.196082021891799
+3 0 0 0 0 9 12 27 0.338659083795362
+3 0 0 0 0 9 12 28 0.422678913489517
+3 0 0 0 0 9 12 29 0.433613719123954
+3 0 0 0 0 9 12 30 0.369572773464889
+3 0 0 0 0 9 12 31 0.2416293378105
+3 0 0 0 0 9 12 32 0.0719059945150494
+3 0 0 0 0 9 12 33 -0.1102505484775
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 0.275507386750357
+4 0 0 0 0 9 12 1 0.111768531886456
+4 0 0 0 0 9 12 2 -0.0712961175258543
+4 0 0 0 0 9 12 3 -0.242033020513044
+4 0 0 0 0 9 12 4 -0.370920215452567
+4 0 0 0 0 9 12 5 -0.43567193543597
+4 0 0 0 0 9 12 6 -0.425092019827216
+4 0 0 0 0 9 12 7 -0.341009832150572
+4 0 0 0 0 9 12 8 -0.197963946518027
+4 0 0 0 0 9 12 9 -0.0206882960865204
+4 0 0 0 0 9 12 10 0.160164548685615
+4 0 0 0 0 9 12 11 0.313323487940762
+4 0 0 0 0 9 12 12 0.412305949676424
+4 0 0 0 0 9 12 13 0.43999696703107
+4 0 0 0 0 9 12 14 0.391608511539087
+4 0 0 0 0 9 12 15 0.275507386750355
+4 0 0 0 0 9 12 16 0.111768531886454
+4 0 0 0 0 9 12 17 -0.0712961175258505
+4 0 0 0 0 9 12 18 -0.242033020513042
+4 0 0 0 0 9 12 19 -0.370920215452565
+4 0 0 0 0 9 12 20 -0.43567193543597
+4 0 0 0 0 9 12 21 -0.425092019827216
+4 0 0 0 0 9 12 22 -0.341009832150574
+4 0 0 0 0 9 12 23 -0.19796394651803
+4 0 0 0 0 9 12 24 -0.0206882960865234
+4 0 0 0 0 9 12 25 0.160164548685612
+4 0 0 0 0 9 12 26 0.31332348794076
+4 0 0 0 0 9 12 27 0.412305949676423
+4 0 0 0 0 9 12 28 0.439996967031071
+4 0 0 0 0 9 12 29 0.391608511539088
+4 0 0 0 0 9 12 30 0.275507386750357
+4 0 0 0 0 9 12 31 0.111768531886456
+4 0 0 0 0 9 12 32 -0.0712961175258543
+4 0 0 0 0 9 12 33 -0.242033020513044
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 0.15167842798486
+5 0 0 0 0 9 12 1 -0.0307769098751551
+5 0 0 0 0 9 12 2 -0.207910640418311
+5 0 0 0 0 9 12 3 -0.349094732424263
+5 0 0 0 0 9 12 4 -0.429917173767981
+5 0 0 0 0 9 12 5 -0.436403030092303
+5 0 0 0 0 9 12 6 -0.367430837916602
+5 0 0 0 0 9 12 7 -0.234926515860749
+5 0 0 0 0 9 12 8 -0.0618012649721778
+5 0 0 0 0 9 12 9 0.122009986076949
+5 0 0 0 0 9 12 10 0.284724602107446
+5 0 0 0 0 9 12 11 0.398207747791759
+5 0 0 0 0 9 12 12 0.442837156279058
+5 0 0 0 0 9 12 13 0.410895997396441
+5 0 0 0 0 9 12 14 0.307907187691032
+5 0 0 0 0 9 12 15 0.151678427984859
+5 0 0 0 0 9 12 16 -0.0307769098751558
+5 0 0 0 0 9 12 17 -0.207910640418307
+5 0 0 0 0 9 12 18 -0.349094732424262
+5 0 0 0 0 9 12 19 -0.42991717376798
+5 0 0 0 0 9 12 20 -0.436403030092304
+5 0 0 0 0 9 12 21 -0.367430837916603
+5 0 0 0 0 9 12 22 -0.234926515860751
+5 0 0 0 0 9 12 23 -0.061801264972181
+5 0 0 0 0 9 12 24 0.122009986076946
+5 0 0 0 0 9 12 25 0.284724602107443
+5 0 0 0 0 9 12 26 0.398207747791758
+5 0 0 0 0 9 12 27 0.442837156279058
+5 0 0 0 0 9 12 28 0.410895997396442
+5 0 0 0 0 9 12 29 0.307907187691033
+5 0 0 0 0 9 12 30 0.15167842798486
+5 0 0 0 0 9 12 31 -0.0307769098751551
+5 0 0 0 0 9 12 32 -0.207910640418311
+5 0 0 0 0 9 12 33 -0.349094732424263
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 0.0110332376322835
+6 0 0 0 0 9 12 1 -0.171045942006732
+6 0 0 0 0 9 12 2 -0.323549724369184
+6 0 0 0 0 9 12 3 -0.42010882003123
+6 0 0 0 0 9 12 4 -0.444027284141066
+6 0 0 0 0 9 12 5 -0.391169396961671
+6 0 0 0 0 9 12 6 -0.270674767385194
+6 0 0 0 0 9 12 7 -0.103378011524753
+6 0 0 0 0 9 12 8 0.0817937416880701
+6 0 0 0 0 9 12 9 0.25282261389021
+6 0 0 0 0 9 12 10 0.380136159329391
+6 0 0 0 0 9 12 11 0.441720709391928
+6 0 0 0 0 9 12 12 0.426927735893936
+6 0 0 0 0 9 12 13 0.338315078343162
+6 0 0 0 0 9 12 14 0.191204670250857
+6 0 0 0 0 9 12 15 0.011033237632282
+6 0 0 0 0 9 12 16 -0.171045942006732
+6 0 0 0 0 9 12 17 -0.323549724369182
+6 0 0 0 0 9 12 18 -0.420108820031231
+6 0 0 0 0 9 12 19 -0.444027284141066
+6 0 0 0 0 9 12 20 -0.391169396961673
+6 0 0 0 0 9 12 21 -0.270674767385196
+6 0 0 0 0 9 12 22 -0.103378011524755
+6 0 0 0 0 9 12 23 0.081793741688067
+6 0 0 0 0 9 12 24 0.252822613890207
+6 0 0 0 0 9 12 25 0.380136159329389
+6 0 0 0 0 9 12 26 0.441720709391927
+6 0 0 0 0 9 12 27 0.426927735893936
+6 0 0 0 0 9 12 28 0.338315078343164
+6 0 0 0 0 9 12 29 0.191204670250859
+6 0 0 0 0 9 12 30 0.0110332376322835
+6 0 0 0 0 9 12 31 -0.171045942006732
+6 0 0 0 0 9 12 32 -0.323549724369184
+6 0 0 0 0 9 12 33 -0.42010882003123
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vz.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vz.xl
new file mode 100644
index 000000000..0d957fb62
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vz.xl
@@ -0,0 +1,170 @@
+# HYDROTOY::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -0.515299953858482
+0 0 0 0 0 1 12 16 -0.62302697845592
+0 0 0 0 0 2 12 16 -0.62302697845592
+0 0 0 0 0 3 12 16 -0.51529995385848
+0 0 0 0 0 4 12 16 -0.318472885885792
+0 0 0 0 0 5 12 16 -0.0665789627081124
+0 0 0 0 0 6 12 16 0.196827067972688
+0 0 0 0 0 7 12 16 0.426199910483233
+0 0 0 0 0 8 12 16 0.581878916566594
+0 0 0 0 0 9 12 16 0.636945771771587
+0 0 0 0 0 10 12 16 0.581878916566594
+0 0 0 0 0 11 12 16 0.426199910483233
+0 0 0 0 0 12 12 16 0.196827067972688
+0 0 0 0 0 13 12 16 -0.0665789627081126
+0 0 0 0 0 14 12 16 -0.318472885885792
+0 0 0 0 0 15 12 16 -0.51529995385848
+0 0 0 0 0 16 12 16 -0.62302697845592
+0 0 0 0 0 17 12 16 -0.62302697845592
+0 0 0 0 0 18 12 16 -0.515299953858482
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -0.608492170320791
+1 0 0 0 0 1 12 16 -0.633457407715208
+1 0 0 0 0 2 12 16 -0.548892104535778
+1 0 0 0 0 3 12 16 -0.369418369953888
+1 0 0 0 0 4 12 16 -0.126068843146438
+1 0 0 0 0 5 12 16 0.139079131940516
+1 0 0 0 0 6 12 16 0.380179061620706
+1 0 0 0 0 7 12 16 0.555542577728329
+1 0 0 0 0 8 12 16 0.634847735200848
+1 0 0 0 0 9 12 16 0.604381951846525
+1 0 0 0 0 10 12 16 0.469413038380277
+1 0 0 0 0 11 12 16 0.253278346094503
+1 0 0 0 0 12 12 16 -0.00665047319254958
+1 0 0 0 0 13 12 16 -0.265429365246958
+1 0 0 0 0 14 12 16 -0.478313108700085
+1 0 0 0 0 15 12 16 -0.608492170320791
+1 0 0 0 0 16 12 16 -0.633457407715208
+1 0 0 0 0 17 12 16 -0.548892104535778
+1 0 0 0 0 18 12 16 -0.369418369953888
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -0.638086200378305
+2 0 0 0 0 1 12 16 -0.577480248216561
+2 0 0 0 0 2 12 16 -0.417022714894814
+2 0 0 0 0 3 12 16 -0.184458165635327
+2 0 0 0 0 4 12 16 0.0800008762123353
+2 0 0 0 0 5 12 16 0.330627039777741
+2 0 0 0 0 6 12 16 0.524084784513215
+2 0 0 0 0 7 12 16 0.626923508845556
+2 0 0 0 0 8 12 16 0.621361463077223
+2 0 0 0 0 9 12 16 0.508360375451159
+2 0 0 0 0 10 12 16 0.307459160600565
+2 0 0 0 0 11 12 16 0.0533954637033468
+2 0 0 0 0 12 12 16 -0.209900793950739
+2 0 0 0 0 13 12 16 -0.436903297441893
+2 0 0 0 0 14 12 16 -0.588361251663493
+2 0 0 0 0 15 12 16 -0.638086200378305
+2 0 0 0 0 16 12 16 -0.577480248216561
+2 0 0 0 0 17 12 16 -0.417022714894814
+2 0 0 0 0 18 12 16 -0.184458165635327
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -0.600801795900965
+3 0 0 0 0 1 12 16 -0.460809125595699
+3 0 0 0 0 2 12 16 -0.241138371155451
+3 0 0 0 0 3 12 16 0.0202273983308998
+3 0 0 0 0 4 12 16 0.278095666885694
+3 0 0 0 0 5 12 16 0.487878668216132
+3 0 0 0 0 6 12 16 0.613303015573443
+3 0 0 0 0 7 12 16 0.632681699855125
+3 0 0 0 0 8 12 16 0.542663970499055
+3 0 0 0 0 9 12 16 0.358814710696295
+3 0 0 0 0 10 12 16 0.112923127684834
+3 0 0 0 0 11 12 16 -0.152493889977744
+3 0 0 0 0 12 12 16 -0.391543328699671
+3 0 0 0 0 13 12 16 -0.562891368829953
+3 0 0 0 0 14 12 16 -0.636910377581988
+3 0 0 0 0 15 12 16 -0.600801795900965
+3 0 0 0 0 16 12 16 -0.460809125595699
+3 0 0 0 0 17 12 16 -0.241138371155451
+3 0 0 0 0 18 12 16 0.0202273983308998
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -0.500385047305991
+4 0 0 0 0 1 12 16 -0.295557108392471
+4 0 0 0 0 2 12 16 -0.0396246603858532
+4 0 0 0 0 3 12 16 0.223159251380213
+4 0 0 0 0 4 12 16 0.447356901244488
+4 0 0 0 0 5 12 16 0.594202478773731
+4 0 0 0 0 6 12 16 0.638305049562943
+4 0 0 0 0 7 12 16 0.572038878463393
+4 0 0 0 0 8 12 16 0.406861988467459
+4 0 0 0 0 9 12 16 0.171334964440373
+4 0 0 0 0 10 12 16 -0.0938174314677397
+4 0 0 0 0 11 12 16 -0.342747941170472
+4 0 0 0 0 12 12 16 -0.532414218077537
+4 0 0 0 0 13 12 16 -0.63002123984767
+4 0 0 0 0 14 12 16 -0.618691865684861
+4 0 0 0 0 15 12 16 -0.500385047305991
+4 0 0 0 0 16 12 16 -0.295557108392471
+4 0 0 0 0 17 12 16 -0.0396246603858532
+4 0 0 0 0 18 12 16 0.223159251380213
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -0.347232808041161
+5 0 0 0 0 1 12 16 -0.0989793588236514
+5 0 0 0 0 2 12 16 0.166388520733716
+5 0 0 0 0 3 12 16 0.402986313463963
+5 0 0 0 0 4 12 16 0.569904111580568
+5 0 0 0 0 5 12 16 0.638280311388576
+5 0 0 0 0 6 12 16 0.596292046762909
+5 0 0 0 0 7 12 16 0.451199470108754
+5 0 0 0 0 8 12 16 0.228090406054292
+5 0 0 0 0 9 12 16 -0.0344575613432431
+5 0 0 0 0 10 12 16 -0.291047503347414
+5 0 0 0 0 11 12 16 -0.497312687939257
+5 0 0 0 0 12 12 16 -0.617587990842467
+5 0 0 0 0 13 12 16 -0.631076719518255
+5 0 0 0 0 14 12 16 -0.535446550237325
+5 0 0 0 0 15 12 16 -0.347232808041161
+5 0 0 0 0 16 12 16 -0.0989793588236514
+5 0 0 0 0 17 12 16 0.166388520733716
+5 0 0 0 0 18 12 16 0.402986313463963
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -0.157316535477105
+6 0 0 0 0 1 12 16 0.108328421385468
+6 0 0 0 0 2 12 16 0.355242410057682
+6 0 0 0 0 3 12 16 0.54073175875494
+6 0 0 0 0 4 12 16 0.63272367396966
+6 0 0 0 0 5 12 16 0.615311917840902
+6 0 0 0 0 6 12 16 0.491507141184166
+6 0 0 0 0 7 12 16 0.282716314614489
+6 0 0 0 0 8 12 16 0.02504126885088
+6 0 0 0 0 9 12 16 -0.236963639789832
+6 0 0 0 0 10 12 16 -0.457995382363797
+6 0 0 0 0 11 12 16 -0.599835562569634
+6 0 0 0 0 12 12 16 -0.637958724672169
+6 0 0 0 0 13 12 16 -0.565773027605821
+6 0 0 0 0 14 12 16 -0.395760034179829
+6 0 0 0 0 15 12 16 -0.157316535477105
+6 0 0 0 0 16 12 16 0.108328421385468
+6 0 0 0 0 17 12 16 0.355242410057682
+6 0 0 0 0 18 12 16 0.54073175875494
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vz.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vz.yl
new file mode 100644
index 000000000..743e0cba1
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vz.yl
@@ -0,0 +1,219 @@
+# HYDROTOY::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -0.611144992588299
+0 0 0 0 0 9 1 16 -0.636945771771587
+0 0 0 0 0 9 2 16 -0.611144992588303
+0 0 0 0 0 9 3 16 -0.535832880724733
+0 0 0 0 0 9 4 16 -0.417110775585691
+0 0 0 0 0 9 5 16 -0.264596836061994
+0 0 0 0 0 9 6 16 -0.0906468344985295
+0 0 0 0 0 9 7 16 0.0906468344985235
+0 0 0 0 0 9 8 16 0.264596836061988
+0 0 0 0 0 9 9 16 0.417110775585686
+0 0 0 0 0 9 10 16 0.53583288072473
+0 0 0 0 0 9 11 16 0.611144992588301
+0 0 0 0 0 9 12 16 0.636945771771587
+0 0 0 0 0 9 13 16 0.611144992588301
+0 0 0 0 0 9 14 16 0.53583288072473
+0 0 0 0 0 9 15 16 0.417110775585686
+0 0 0 0 0 9 16 16 0.264596836061988
+0 0 0 0 0 9 17 16 0.0906468344985234
+0 0 0 0 0 9 18 16 -0.0906468344985296
+0 0 0 0 0 9 19 16 -0.264596836061994
+0 0 0 0 0 9 20 16 -0.417110775585691
+0 0 0 0 0 9 21 16 -0.535832880724734
+0 0 0 0 0 9 22 16 -0.611144992588303
+0 0 0 0 0 9 23 16 -0.636945771771587
+0 0 0 0 0 9 24 16 -0.611144992588299
+0 0 0 0 0 9 25 16 -0.535832880724727
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 -0.637195713383579
+1 0 0 0 0 9 1 16 -0.604381951846523
+1 0 0 0 0 9 2 16 -0.522604758968737
+1 0 0 0 0 9 3 16 -0.398489236569475
+1 0 0 0 0 9 4 16 -0.242090486130096
+1 0 0 0 0 9 5 16 -0.0660790042720144
+1 0 0 0 0 9 6 16 0.115285805525215
+1 0 0 0 0 9 7 16 0.287310844989877
+1 0 0 0 0 9 8 16 0.436059668496847
+1 0 0 0 0 9 9 16 0.549481531008906
+1 0 0 0 0 9 10 16 0.618387667771117
+1 0 0 0 0 9 11 16 0.637195713383579
+1 0 0 0 0 9 12 16 0.604381951846525
+1 0 0 0 0 9 13 16 0.522604758968734
+1 0 0 0 0 9 14 16 0.39848923656947
+1 0 0 0 0 9 15 16 0.24209048613009
+1 0 0 0 0 9 16 16 0.0660790042720084
+1 0 0 0 0 9 17 16 -0.115285805525221
+1 0 0 0 0 9 18 16 -0.287310844989883
+1 0 0 0 0 9 19 16 -0.436059668496852
+1 0 0 0 0 9 20 16 -0.54948153100891
+1 0 0 0 0 9 21 16 -0.618387667771118
+1 0 0 0 0 9 22 16 -0.637195713383579
+1 0 0 0 0 9 23 16 -0.604381951846523
+1 0 0 0 0 9 24 16 -0.522604758968737
+1 0 0 0 0 9 25 16 -0.398489236569475
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 -0.59648290094983
+2 0 0 0 0 9 1 16 -0.508360375451156
+2 0 0 0 0 9 2 16 -0.379053515669004
+2 0 0 0 0 9 3 16 -0.2190379943654
+2 0 0 0 0 9 4 16 -0.0412773174274224
+2 0 0 0 0 9 5 16 0.139827402282866
+2 0 0 0 0 9 6 16 0.309604137445777
+2 0 0 0 0 9 7 16 0.454298586679535
+2 0 0 0 0 9 8 16 0.562188466238243
+2 0 0 0 0 9 9 16 0.624533179725876
+2 0 0 0 0 9 10 16 0.636281929233952
+2 0 0 0 0 9 11 16 0.596482900949832
+2 0 0 0 0 9 12 16 0.508360375451159
+2 0 0 0 0 9 13 16 0.379053515668998
+2 0 0 0 0 9 14 16 0.219037994365394
+2 0 0 0 0 9 15 16 0.0412773174274162
+2 0 0 0 0 9 16 16 -0.139827402282872
+2 0 0 0 0 9 17 16 -0.309604137445783
+2 0 0 0 0 9 18 16 -0.454298586679539
+2 0 0 0 0 9 19 16 -0.562188466238246
+2 0 0 0 0 9 20 16 -0.624533179725877
+2 0 0 0 0 9 21 16 -0.636281929233952
+2 0 0 0 0 9 22 16 -0.59648290094983
+2 0 0 0 0 9 23 16 -0.508360375451156
+2 0 0 0 0 9 24 16 -0.379053515669004
+2 0 0 0 0 9 25 16 -0.2190379943654
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 -0.493113583217527
+3 0 0 0 0 9 1 16 -0.358814710696291
+3 0 0 0 0 9 2 16 -0.195446804267703
+3 0 0 0 0 9 3 16 -0.0162449601242363
+3 0 0 0 0 9 4 16 0.164272954075997
+3 0 0 0 0 9 5 16 0.331482450505869
+3 0 0 0 0 9 6 16 0.471837210197796
+3 0 0 0 0 9 7 16 0.573966525243434
+3 0 0 0 0 9 8 16 0.629596485924211
+3 0 0 0 0 9 9 16 0.634220283669883
+3 0 0 0 0 9 10 16 0.587463325885882
+3 0 0 0 0 9 11 16 0.493113583217531
+3 0 0 0 0 9 12 16 0.358814710696295
+3 0 0 0 0 9 13 16 0.195446804267697
+3 0 0 0 0 9 14 16 0.0162449601242305
+3 0 0 0 0 9 15 16 -0.164272954076003
+3 0 0 0 0 9 16 16 -0.331482450505874
+3 0 0 0 0 9 17 16 -0.4718372101978
+3 0 0 0 0 9 18 16 -0.573966525243437
+3 0 0 0 0 9 19 16 -0.629596485924212
+3 0 0 0 0 9 20 16 -0.634220283669883
+3 0 0 0 0 9 21 16 -0.587463325885879
+3 0 0 0 0 9 22 16 -0.493113583217527
+3 0 0 0 0 9 23 16 -0.358814710696291
+3 0 0 0 0 9 24 16 -0.195446804267703
+3 0 0 0 0 9 25 16 -0.0162449601242363
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 -0.337796446653127
+4 0 0 0 0 9 1 16 -0.17133496444037
+4 0 0 0 0 9 2 16 0.00900705762306818
+4 0 0 0 0 9 3 16 0.188619381444931
+4 0 0 0 0 9 4 16 0.352950884744777
+4 0 0 0 0 9 5 16 0.488688406442338
+4 0 0 0 0 9 6 16 0.5848352997918
+4 0 0 0 0 9 7 16 0.633602315301583
+4 0 0 0 0 9 8 16 0.631038639403692
+4 0 0 0 0 9 9 16 0.577351965872606
+4 0 0 0 0 9 10 16 0.476891669710873
+4 0 0 0 0 9 11 16 0.337796446653131
+4 0 0 0 0 9 12 16 0.171334964440373
+4 0 0 0 0 9 13 16 -0.00900705762307519
+4 0 0 0 0 9 14 16 -0.188619381444936
+4 0 0 0 0 9 15 16 -0.352950884744783
+4 0 0 0 0 9 16 16 -0.488688406442342
+4 0 0 0 0 9 17 16 -0.584835299791803
+4 0 0 0 0 9 18 16 -0.633602315301584
+4 0 0 0 0 9 19 16 -0.631038639403691
+4 0 0 0 0 9 20 16 -0.577351965872604
+4 0 0 0 0 9 21 16 -0.476891669710869
+4 0 0 0 0 9 22 16 -0.337796446653127
+4 0 0 0 0 9 23 16 -0.17133496444037
+4 0 0 0 0 9 24 16 0.00900705762306818
+4 0 0 0 0 9 25 16 0.188619381444931
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 -0.146732746204847
+5 0 0 0 0 9 1 16 0.0344575613432452
+5 0 0 0 0 9 2 16 0.212856322198309
+5 0 0 0 0 9 3 16 0.374010729734168
+5 0 0 0 0 9 4 16 0.504865012274416
+5 0 0 0 0 9 5 16 0.594818134068033
+5 0 0 0 0 9 6 16 0.63658262815911
+5 0 0 0 0 9 7 16 0.6267749836194
+5 0 0 0 0 9 8 16 0.566189757481202
+5 0 0 0 0 9 9 16 0.459735204452018
+5 0 0 0 0 9 10 16 0.31603563930867
+5 0 0 0 0 9 11 16 0.146732746204851
+5 0 0 0 0 9 12 16 -0.0344575613432431
+5 0 0 0 0 9 13 16 -0.212856322198315
+5 0 0 0 0 9 14 16 -0.374010729734171
+5 0 0 0 0 9 15 16 -0.50486501227442
+5 0 0 0 0 9 16 16 -0.594818134068035
+5 0 0 0 0 9 17 16 -0.63658262815911
+5 0 0 0 0 9 18 16 -0.626774983619399
+5 0 0 0 0 9 19 16 -0.566189757481199
+5 0 0 0 0 9 20 16 -0.459735204452014
+5 0 0 0 0 9 21 16 -0.316035639308665
+5 0 0 0 0 9 22 16 -0.146732746204847
+5 0 0 0 0 9 23 16 0.0344575613432452
+5 0 0 0 0 9 24 16 0.212856322198309
+5 0 0 0 0 9 25 16 0.374010729734168
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 0.0600734663797312
+6 0 0 0 0 9 1 16 0.236963639789833
+6 0 0 0 0 9 2 16 0.394656428381188
+6 0 0 0 0 9 3 16 0.520376500257262
+6 0 0 0 0 9 4 16 0.603938762880696
+6 0 0 0 0 9 5 16 0.638573498697662
+6 0 0 0 0 9 6 16 0.621474807392969
+6 0 0 0 0 9 7 16 0.554027923246292
+6 0 0 0 0 9 8 16 0.441696991689129
+6 0 0 0 0 9 9 16 0.293582396738469
+6 0 0 0 0 9 10 16 0.121683502005799
+6 0 0 0 0 9 11 16 -0.0600734663797284
+6 0 0 0 0 9 12 16 -0.236963639789832
+6 0 0 0 0 9 13 16 -0.394656428381192
+6 0 0 0 0 9 14 16 -0.520376500257262
+6 0 0 0 0 9 15 16 -0.603938762880698
+6 0 0 0 0 9 16 16 -0.638573498697662
+6 0 0 0 0 9 17 16 -0.621474807392968
+6 0 0 0 0 9 18 16 -0.554027923246289
+6 0 0 0 0 9 19 16 -0.441696991689125
+6 0 0 0 0 9 20 16 -0.293582396738463
+6 0 0 0 0 9 21 16 -0.121683502005794
+6 0 0 0 0 9 22 16 0.0600734663797312
+6 0 0 0 0 9 23 16 0.236963639789833
+6 0 0 0 0 9 24 16 0.394656428381188
+6 0 0 0 0 9 25 16 0.520376500257262
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vz.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vz.zl
new file mode 100644
index 000000000..fc23c9e27
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse/vz.zl
@@ -0,0 +1,275 @@
+# HYDROTOY::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 0.581878916566596
+0 0 0 0 0 9 12 1 0.636945771771587
+0 0 0 0 0 9 12 2 0.581878916566593
+0 0 0 0 0 9 12 3 0.42619991048323
+0 0 0 0 0 9 12 4 0.196827067972683
+0 0 0 0 0 9 12 5 -0.0665789627081168
+0 0 0 0 0 9 12 6 -0.318472885885796
+0 0 0 0 0 9 12 7 -0.515299953858482
+0 0 0 0 0 9 12 8 -0.62302697845592
+0 0 0 0 0 9 12 9 -0.62302697845592
+0 0 0 0 0 9 12 10 -0.515299953858479
+0 0 0 0 0 9 12 11 -0.318472885885792
+0 0 0 0 0 9 12 12 -0.0665789627081123
+0 0 0 0 0 9 12 13 0.196827067972688
+0 0 0 0 0 9 12 14 0.426199910483233
+0 0 0 0 0 9 12 15 0.581878916566594
+0 0 0 0 0 9 12 16 0.636945771771587
+0 0 0 0 0 9 12 17 0.581878916566594
+0 0 0 0 0 9 12 18 0.426199910483233
+0 0 0 0 0 9 12 19 0.196827067972688
+0 0 0 0 0 9 12 20 -0.0665789627081124
+0 0 0 0 0 9 12 21 -0.318472885885792
+0 0 0 0 0 9 12 22 -0.515299953858479
+0 0 0 0 0 9 12 23 -0.62302697845592
+0 0 0 0 0 9 12 24 -0.62302697845592
+0 0 0 0 0 9 12 25 -0.515299953858482
+0 0 0 0 0 9 12 26 -0.318472885885796
+0 0 0 0 0 9 12 27 -0.0665789627081168
+0 0 0 0 0 9 12 28 0.196827067972684
+0 0 0 0 0 9 12 29 0.42619991048323
+0 0 0 0 0 9 12 30 0.581878916566593
+0 0 0 0 0 9 12 31 0.636945771771587
+0 0 0 0 0 9 12 32 0.581878916566596
+0 0 0 0 0 9 12 33 0.426199910483237
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 0.634847735200847
+1 0 0 0 0 9 12 1 0.604381951846525
+1 0 0 0 0 9 12 2 0.469413038380274
+1 0 0 0 0 9 12 3 0.253278346094499
+1 0 0 0 0 9 12 4 -0.00665047319255438
+1 0 0 0 0 9 12 5 -0.265429365246962
+1 0 0 0 0 9 12 6 -0.478313108700088
+1 0 0 0 0 9 12 7 -0.608492170320792
+1 0 0 0 0 9 12 8 -0.633457407715207
+1 0 0 0 0 9 12 9 -0.548892104535778
+1 0 0 0 0 9 12 10 -0.369418369953887
+1 0 0 0 0 9 12 11 -0.126068843146438
+1 0 0 0 0 9 12 12 0.139079131940516
+1 0 0 0 0 9 12 13 0.380179061620706
+1 0 0 0 0 9 12 14 0.555542577728329
+1 0 0 0 0 9 12 15 0.634847735200848
+1 0 0 0 0 9 12 16 0.604381951846525
+1 0 0 0 0 9 12 17 0.469413038380277
+1 0 0 0 0 9 12 18 0.253278346094503
+1 0 0 0 0 9 12 19 -0.00665047319254942
+1 0 0 0 0 9 12 20 -0.265429365246958
+1 0 0 0 0 9 12 21 -0.478313108700085
+1 0 0 0 0 9 12 22 -0.608492170320791
+1 0 0 0 0 9 12 23 -0.633457407715208
+1 0 0 0 0 9 12 24 -0.54889210453578
+1 0 0 0 0 9 12 25 -0.369418369953891
+1 0 0 0 0 9 12 26 -0.126068843146442
+1 0 0 0 0 9 12 27 0.139079131940511
+1 0 0 0 0 9 12 28 0.380179061620702
+1 0 0 0 0 9 12 29 0.555542577728327
+1 0 0 0 0 9 12 30 0.634847735200847
+1 0 0 0 0 9 12 31 0.604381951846525
+1 0 0 0 0 9 12 32 0.469413038380274
+1 0 0 0 0 9 12 33 0.253278346094499
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 0.621361463077223
+2 0 0 0 0 9 12 1 0.508360375451158
+2 0 0 0 0 9 12 2 0.307459160600559
+2 0 0 0 0 9 12 3 0.0533954637033422
+2 0 0 0 0 9 12 4 -0.209900793950744
+2 0 0 0 0 9 12 5 -0.436903297441896
+2 0 0 0 0 9 12 6 -0.588361251663495
+2 0 0 0 0 9 12 7 -0.638086200378305
+2 0 0 0 0 9 12 8 -0.577480248216559
+2 0 0 0 0 9 12 9 -0.417022714894814
+2 0 0 0 0 9 12 10 -0.184458165635327
+2 0 0 0 0 9 12 11 0.0800008762123356
+2 0 0 0 0 9 12 12 0.330627039777741
+2 0 0 0 0 9 12 13 0.524084784513215
+2 0 0 0 0 9 12 14 0.626923508845556
+2 0 0 0 0 9 12 15 0.621361463077223
+2 0 0 0 0 9 12 16 0.508360375451159
+2 0 0 0 0 9 12 17 0.307459160600565
+2 0 0 0 0 9 12 18 0.0533954637033469
+2 0 0 0 0 9 12 19 -0.209900793950739
+2 0 0 0 0 9 12 20 -0.436903297441894
+2 0 0 0 0 9 12 21 -0.588361251663493
+2 0 0 0 0 9 12 22 -0.638086200378305
+2 0 0 0 0 9 12 23 -0.577480248216561
+2 0 0 0 0 9 12 24 -0.417022714894818
+2 0 0 0 0 9 12 25 -0.184458165635331
+2 0 0 0 0 9 12 26 0.0800008762123312
+2 0 0 0 0 9 12 27 0.330627039777737
+2 0 0 0 0 9 12 28 0.524084784513212
+2 0 0 0 0 9 12 29 0.626923508845555
+2 0 0 0 0 9 12 30 0.621361463077223
+2 0 0 0 0 9 12 31 0.508360375451158
+2 0 0 0 0 9 12 32 0.307459160600559
+2 0 0 0 0 9 12 33 0.0533954637033422
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 0.542663970499056
+3 0 0 0 0 9 12 1 0.358814710696292
+3 0 0 0 0 9 12 2 0.112923127684826
+3 0 0 0 0 9 12 3 -0.152493889977748
+3 0 0 0 0 9 12 4 -0.391543328699675
+3 0 0 0 0 9 12 5 -0.562891368829955
+3 0 0 0 0 9 12 6 -0.636910377581988
+3 0 0 0 0 9 12 7 -0.600801795900964
+3 0 0 0 0 9 12 8 -0.460809125595696
+3 0 0 0 0 9 12 9 -0.241138371155451
+3 0 0 0 0 9 12 10 0.0202273983309004
+3 0 0 0 0 9 12 11 0.278095666885694
+3 0 0 0 0 9 12 12 0.487878668216132
+3 0 0 0 0 9 12 13 0.613303015573443
+3 0 0 0 0 9 12 14 0.632681699855125
+3 0 0 0 0 9 12 15 0.542663970499055
+3 0 0 0 0 9 12 16 0.358814710696295
+3 0 0 0 0 9 12 17 0.112923127684834
+3 0 0 0 0 9 12 18 -0.152493889977744
+3 0 0 0 0 9 12 19 -0.391543328699671
+3 0 0 0 0 9 12 20 -0.562891368829953
+3 0 0 0 0 9 12 21 -0.636910377581988
+3 0 0 0 0 9 12 22 -0.600801795900965
+3 0 0 0 0 9 12 23 -0.4608091255957
+3 0 0 0 0 9 12 24 -0.241138371155455
+3 0 0 0 0 9 12 25 0.0202273983308957
+3 0 0 0 0 9 12 26 0.27809566688569
+3 0 0 0 0 9 12 27 0.487878668216129
+3 0 0 0 0 9 12 28 0.613303015573442
+3 0 0 0 0 9 12 29 0.632681699855125
+3 0 0 0 0 9 12 30 0.542663970499056
+3 0 0 0 0 9 12 31 0.358814710696292
+3 0 0 0 0 9 12 32 0.112923127684826
+3 0 0 0 0 9 12 33 -0.152493889977748
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 0.406861988467459
+4 0 0 0 0 9 12 1 0.171334964440367
+4 0 0 0 0 9 12 2 -0.0938174314677489
+4 0 0 0 0 9 12 3 -0.342747941170476
+4 0 0 0 0 9 12 4 -0.53241421807754
+4 0 0 0 0 9 12 5 -0.630021239847671
+4 0 0 0 0 9 12 6 -0.61869186568486
+4 0 0 0 0 9 12 7 -0.500385047305989
+4 0 0 0 0 9 12 8 -0.295557108392468
+4 0 0 0 0 9 12 9 -0.0396246603858534
+4 0 0 0 0 9 12 10 0.223159251380214
+4 0 0 0 0 9 12 11 0.447356901244488
+4 0 0 0 0 9 12 12 0.594202478773731
+4 0 0 0 0 9 12 13 0.638305049562943
+4 0 0 0 0 9 12 14 0.572038878463393
+4 0 0 0 0 9 12 15 0.406861988467459
+4 0 0 0 0 9 12 16 0.171334964440373
+4 0 0 0 0 9 12 17 -0.0938174314677396
+4 0 0 0 0 9 12 18 -0.342747941170472
+4 0 0 0 0 9 12 19 -0.532414218077537
+4 0 0 0 0 9 12 20 -0.630021239847671
+4 0 0 0 0 9 12 21 -0.618691865684861
+4 0 0 0 0 9 12 22 -0.500385047305991
+4 0 0 0 0 9 12 23 -0.295557108392472
+4 0 0 0 0 9 12 24 -0.0396246603858582
+4 0 0 0 0 9 12 25 0.223159251380209
+4 0 0 0 0 9 12 26 0.447356901244485
+4 0 0 0 0 9 12 27 0.594202478773729
+4 0 0 0 0 9 12 28 0.638305049562943
+4 0 0 0 0 9 12 29 0.572038878463394
+4 0 0 0 0 9 12 30 0.406861988467459
+4 0 0 0 0 9 12 31 0.171334964440367
+4 0 0 0 0 9 12 32 -0.0938174314677489
+4 0 0 0 0 9 12 33 -0.342747941170476
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 0.228090406054292
+5 0 0 0 0 9 12 1 -0.0344575613432509
+5 0 0 0 0 9 12 2 -0.291047503347424
+5 0 0 0 0 9 12 3 -0.49731268793926
+5 0 0 0 0 9 12 4 -0.61758799084247
+5 0 0 0 0 9 12 5 -0.631076719518254
+5 0 0 0 0 9 12 6 -0.535446550237322
+5 0 0 0 0 9 12 7 -0.347232808041159
+5 0 0 0 0 9 12 8 -0.0989793588236489
+5 0 0 0 0 9 12 9 0.166388520733715
+5 0 0 0 0 9 12 10 0.402986313463964
+5 0 0 0 0 9 12 11 0.569904111580567
+5 0 0 0 0 9 12 12 0.638280311388576
+5 0 0 0 0 9 12 13 0.596292046762908
+5 0 0 0 0 9 12 14 0.451199470108754
+5 0 0 0 0 9 12 15 0.228090406054293
+5 0 0 0 0 9 12 16 -0.0344575613432431
+5 0 0 0 0 9 12 17 -0.291047503347414
+5 0 0 0 0 9 12 18 -0.497312687939257
+5 0 0 0 0 9 12 19 -0.617587990842467
+5 0 0 0 0 9 12 20 -0.631076719518255
+5 0 0 0 0 9 12 21 -0.535446550237325
+5 0 0 0 0 9 12 22 -0.347232808041162
+5 0 0 0 0 9 12 23 -0.0989793588236535
+5 0 0 0 0 9 12 24 0.166388520733711
+5 0 0 0 0 9 12 25 0.40298631346396
+5 0 0 0 0 9 12 26 0.569904111580566
+5 0 0 0 0 9 12 27 0.638280311388575
+5 0 0 0 0 9 12 28 0.59629204676291
+5 0 0 0 0 9 12 29 0.451199470108755
+5 0 0 0 0 9 12 30 0.228090406054292
+5 0 0 0 0 9 12 31 -0.0344575613432509
+5 0 0 0 0 9 12 32 -0.291047503347424
+5 0 0 0 0 9 12 33 -0.49731268793926
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 0.0250412688508779
+6 0 0 0 0 9 12 1 -0.236963639789841
+6 0 0 0 0 9 12 2 -0.457995382363806
+6 0 0 0 0 9 12 3 -0.599835562569635
+6 0 0 0 0 9 12 4 -0.637958724672171
+6 0 0 0 0 9 12 5 -0.565773027605818
+6 0 0 0 0 9 12 6 -0.395760034179826
+6 0 0 0 0 9 12 7 -0.157316535477102
+6 0 0 0 0 9 12 8 0.10832842138547
+6 0 0 0 0 9 12 9 0.355242410057682
+6 0 0 0 0 9 12 10 0.540731758754941
+6 0 0 0 0 9 12 11 0.63272367396966
+6 0 0 0 0 9 12 12 0.615311917840902
+6 0 0 0 0 9 12 13 0.491507141184166
+6 0 0 0 0 9 12 14 0.282716314614489
+6 0 0 0 0 9 12 15 0.0250412688508801
+6 0 0 0 0 9 12 16 -0.236963639789832
+6 0 0 0 0 9 12 17 -0.457995382363797
+6 0 0 0 0 9 12 18 -0.599835562569634
+6 0 0 0 0 9 12 19 -0.637958724672169
+6 0 0 0 0 9 12 20 -0.565773027605821
+6 0 0 0 0 9 12 21 -0.39576003417983
+6 0 0 0 0 9 12 22 -0.157316535477107
+6 0 0 0 0 9 12 23 0.108328421385465
+6 0 0 0 0 9 12 24 0.355242410057678
+6 0 0 0 0 9 12 25 0.540731758754939
+6 0 0 0 0 9 12 26 0.63272367396966
+6 0 0 0 0 9 12 27 0.615311917840903
+6 0 0 0 0 9 12 28 0.491507141184168
+6 0 0 0 0 9 12 29 0.282716314614489
+6 0 0 0 0 9 12 30 0.0250412688508779
+6 0 0 0 0 9 12 31 -0.236963639789841
+6 0 0 0 0 9 12 32 -0.457995382363806
+6 0 0 0 0 9 12 33 -0.599835562569635
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2.log b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2.log
new file mode 100644
index 000000000..e68249499
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2.log
@@ -0,0 +1,148 @@
+--------------------------------------------------------------------------------
+
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+
+Cactus version: 4.0.b11
+Compile date: Nov 30 2001 (15:23:02)
+Run date: Dec 3 2001 (11:31:38)
+Run host: lilypond.tat.physik.uni-tuebingen.de
+Parameter file: /home/eschnett/Calpha/Cactus/arrangements/Carpet/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2.par
+--------------------------------------------------------------------------------
+
+Activating thorn Cactus...Success -> active implementation Cactus
+Activation requested for
+--->Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetSlab IDSpaceTimeToy SpaceTimeToy IDHydroToy HydroToy<---
+Activating thorn Boundary...Success -> active implementation boundary
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn HydroToy...Success -> active implementation hydrotoy
+Activating thorn IDHydroToy...Success -> active implementation idhydrotoy
+Activating thorn IDSpaceTimeToy...Success -> active implementation idspacetimetoy
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn SpaceTimeToy...Success -> active implementation spacetimetoy
+Activating thorn Time...Success -> active implementation time
+--------------------------------------------------------------------------------
+ if (recover)
+ Recover parameters
+ endif
+
+ Startup routines
+ Carpet: Startup routine
+ IOUtil: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ HydroToy: Register banner
+ IDHydroToy: Register banner
+ IDSpaceTimeToy: Register banner
+ IOBasic: Startup routine
+ CarpetIOASCII: Startup routine
+ SpaceTimeToy: Register banner
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ HydroToy: Schedule symmetries
+ SpaceTimeToy: Schedule symmetries
+ Time: Initialise Time variables
+ Time: Set timestep based on Courant condition
+ IDHydroToy: Initial data for 3D wave equation
+ IDSpaceTimeToy: Initial data for 3D wave equation
+ if (recover)
+ endif
+ if (checkpoint initial data)
+ endif
+ if (analysis)
+ endif
+
+ do loop over timesteps
+ Rotate timelevels
+ iteration = iteration + 1
+ t = t+dt
+ HydroToy: Euler predictor step
+ SpaceTimeToy: Initial Euler step
+ while (SpaceTimeToy::do_iterate)
+ SpaceTimeToy: One ICN step
+ end while
+ HydroToy: Euler corrector step
+ if (checkpoint)
+ endif
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+HydroToy: Evolutions of a Scalar and a Vector Field
+--------------------------------------------------------------------------------
+IDHydroToy: Initial data for a Scalar and a Vector Field
+--------------------------------------------------------------------------------
+IDSpaceTimeToy: Initial data for two Scalar Fields
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+SpaceTimeToy: Evolutions of two Scalar Fields
+--------------------------------------------------------------------------------
+
+INFO (Carpet): Carpet is running on 1 processors
+INFO (IOBasic): I/O Method 'Scalar' registered
+INFO (IOBasic): Scalar: Output of scalar quantities (grid scalars, reductions) to ASCII files
+INFO (IOBasic): I/O Method 'Info' registered
+INFO (IOBasic): Info: Output of scalar quantities (grid scalars, reductions) to screen
+INFO (Cart3d): Cartesian coordinates:
+INFO (Cart3d): Whole grid: lower bound [-5.4, -7.2, -9.6]
+INFO (Cart3d): Whole grid: upper bound [5.4, 7.8, 10.2]
+INFO (Cart3d): Whole grid: extent [11.4, 15.6, 20.4]
+INFO (Cart3d): Interior: lower bound [-4.2, -6, -8.4]
+INFO (Cart3d): Interior: upper bound [4.2, 6.6, 9]
+INFO (Cart3d): Interior: extent [9, 13.2, 18]
+INFO (Cart3d): Grid spacing: [0.6, 0.6, 0.6]
+INFO (IOBasic): Scalar: Output every -1 iterations
+INFO (IOBasic): Info: Output every 1 iterations
+------------------
+ it | |
+ | t |
+------------------
+ 0 | 0.000 |
+ 0 | 0.000 |
+ 1 | 0.150 |
+ 2 | 0.300 |
+ 2 | 0.300 |
+ 3 | 0.450 |
+ 4 | 0.600 |
+ 4 | 0.600 |
+ 5 | 0.750 |
+ 6 | 0.900 |
+ 6 | 0.900 |
+ 7 | 1.050 |
+ 8 | 1.200 |
+ 8 | 1.200 |
+ 9 | 1.350 |
+ 10 | 1.500 |
+ 10 | 1.500 |
+ 11 | 1.650 |
+ 12 | 1.800 |
+ 12 | 1.800 |
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2.par b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2.par
new file mode 100644
index 000000000..1ab710e1b
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2.par
@@ -0,0 +1,60 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2.par,v 1.4 2004/03/23 12:00:15 schnetter Exp $
+
+!DESC "DoubleToy with periodic boundaries, 1 refinement level"
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDSpaceTimeToy SpaceTimeToy IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 12
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 2
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "doubletoy_periodic_coarse_rl2"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve grid::coordinates"
+
+SpaceTimeToy::icn_iterations = 2
+SpaceTimeToy::bound = radiation
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDSpaceTimeToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDSpaceTimeToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_x.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_x.xl
new file mode 100644
index 000000000..11061d80c
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_x.xl
@@ -0,0 +1,482 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -2.7
+0 0 1 0 0 10 24 32 -2.4
+0 0 1 0 0 11 24 32 -2.1
+0 0 1 0 0 12 24 32 -1.8
+0 0 1 0 0 13 24 32 -1.5
+0 0 1 0 0 14 24 32 -1.2
+0 0 1 0 0 15 24 32 -0.9
+0 0 1 0 0 16 24 32 -0.6
+0 0 1 0 0 17 24 32 -0.3
+0 0 1 0 0 18 24 32 4.44089209850063e-16
+0 0 1 0 0 19 24 32 0.3
+0 0 1 0 0 20 24 32 0.600000000000001
+0 0 1 0 0 21 24 32 0.900000000000001
+0 0 1 0 0 22 24 32 1.2
+0 0 1 0 0 23 24 32 1.5
+0 0 1 0 0 24 24 32 1.8
+0 0 1 0 0 25 24 32 2.1
+0 0 1 0 0 26 24 32 2.4
+0 0 1 0 0 27 24 32 2.7
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -5.4
+0 0 0 0 0 2 24 32 -4.8
+0 0 0 0 0 4 24 32 -4.2
+0 0 0 0 0 6 24 32 -3.6
+0 0 0 0 0 8 24 32 -3
+0 0 0 0 0 10 24 32 -2.4
+0 0 0 0 0 12 24 32 -1.8
+0 0 0 0 0 14 24 32 -1.2
+0 0 0 0 0 16 24 32 -0.6
+0 0 0 0 0 18 24 32 4.44089209850063e-16
+0 0 0 0 0 20 24 32 0.600000000000001
+0 0 0 0 0 22 24 32 1.2
+0 0 0 0 0 24 24 32 1.8
+0 0 0 0 0 26 24 32 2.4
+0 0 0 0 0 28 24 32 3
+0 0 0 0 0 30 24 32 3.6
+0 0 0 0 0 32 24 32 4.2
+0 0 0 0 0 34 24 32 4.8
+0 0 0 0 0 36 24 32 5.4
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -2.7
+1 0 1 0 0 10 24 32 -2.4
+1 0 1 0 0 11 24 32 -2.1
+1 0 1 0 0 12 24 32 -1.8
+1 0 1 0 0 13 24 32 -1.5
+1 0 1 0 0 14 24 32 -1.2
+1 0 1 0 0 15 24 32 -0.9
+1 0 1 0 0 16 24 32 -0.6
+1 0 1 0 0 17 24 32 -0.3
+1 0 1 0 0 18 24 32 4.44089209850063e-16
+1 0 1 0 0 19 24 32 0.3
+1 0 1 0 0 20 24 32 0.600000000000001
+1 0 1 0 0 21 24 32 0.900000000000001
+1 0 1 0 0 22 24 32 1.2
+1 0 1 0 0 23 24 32 1.5
+1 0 1 0 0 24 24 32 1.8
+1 0 1 0 0 25 24 32 2.1
+1 0 1 0 0 26 24 32 2.4
+1 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 -2.7
+2 0 1 0 0 10 24 32 -2.4
+2 0 1 0 0 11 24 32 -2.1
+2 0 1 0 0 12 24 32 -1.8
+2 0 1 0 0 13 24 32 -1.5
+2 0 1 0 0 14 24 32 -1.2
+2 0 1 0 0 15 24 32 -0.9
+2 0 1 0 0 16 24 32 -0.6
+2 0 1 0 0 17 24 32 -0.3
+2 0 1 0 0 18 24 32 4.44089209850063e-16
+2 0 1 0 0 19 24 32 0.3
+2 0 1 0 0 20 24 32 0.600000000000001
+2 0 1 0 0 21 24 32 0.900000000000001
+2 0 1 0 0 22 24 32 1.2
+2 0 1 0 0 23 24 32 1.5
+2 0 1 0 0 24 24 32 1.8
+2 0 1 0 0 25 24 32 2.1
+2 0 1 0 0 26 24 32 2.4
+2 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -5.4
+2 0 0 0 0 2 24 32 -4.8
+2 0 0 0 0 4 24 32 -4.2
+2 0 0 0 0 6 24 32 -3.6
+2 0 0 0 0 8 24 32 -3
+2 0 0 0 0 10 24 32 -2.4
+2 0 0 0 0 12 24 32 -1.8
+2 0 0 0 0 14 24 32 -1.2
+2 0 0 0 0 16 24 32 -0.6
+2 0 0 0 0 18 24 32 4.44089209850063e-16
+2 0 0 0 0 20 24 32 0.600000000000001
+2 0 0 0 0 22 24 32 1.2
+2 0 0 0 0 24 24 32 1.8
+2 0 0 0 0 26 24 32 2.4
+2 0 0 0 0 28 24 32 3
+2 0 0 0 0 30 24 32 3.6
+2 0 0 0 0 32 24 32 4.2
+2 0 0 0 0 34 24 32 4.8
+2 0 0 0 0 36 24 32 5.4
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 -2.7
+3 0 1 0 0 10 24 32 -2.4
+3 0 1 0 0 11 24 32 -2.1
+3 0 1 0 0 12 24 32 -1.8
+3 0 1 0 0 13 24 32 -1.5
+3 0 1 0 0 14 24 32 -1.2
+3 0 1 0 0 15 24 32 -0.9
+3 0 1 0 0 16 24 32 -0.6
+3 0 1 0 0 17 24 32 -0.3
+3 0 1 0 0 18 24 32 4.44089209850063e-16
+3 0 1 0 0 19 24 32 0.3
+3 0 1 0 0 20 24 32 0.600000000000001
+3 0 1 0 0 21 24 32 0.900000000000001
+3 0 1 0 0 22 24 32 1.2
+3 0 1 0 0 23 24 32 1.5
+3 0 1 0 0 24 24 32 1.8
+3 0 1 0 0 25 24 32 2.1
+3 0 1 0 0 26 24 32 2.4
+3 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 -2.7
+4 0 1 0 0 10 24 32 -2.4
+4 0 1 0 0 11 24 32 -2.1
+4 0 1 0 0 12 24 32 -1.8
+4 0 1 0 0 13 24 32 -1.5
+4 0 1 0 0 14 24 32 -1.2
+4 0 1 0 0 15 24 32 -0.9
+4 0 1 0 0 16 24 32 -0.6
+4 0 1 0 0 17 24 32 -0.3
+4 0 1 0 0 18 24 32 4.44089209850063e-16
+4 0 1 0 0 19 24 32 0.3
+4 0 1 0 0 20 24 32 0.600000000000001
+4 0 1 0 0 21 24 32 0.900000000000001
+4 0 1 0 0 22 24 32 1.2
+4 0 1 0 0 23 24 32 1.5
+4 0 1 0 0 24 24 32 1.8
+4 0 1 0 0 25 24 32 2.1
+4 0 1 0 0 26 24 32 2.4
+4 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -5.4
+4 0 0 0 0 2 24 32 -4.8
+4 0 0 0 0 4 24 32 -4.2
+4 0 0 0 0 6 24 32 -3.6
+4 0 0 0 0 8 24 32 -3
+4 0 0 0 0 10 24 32 -2.4
+4 0 0 0 0 12 24 32 -1.8
+4 0 0 0 0 14 24 32 -1.2
+4 0 0 0 0 16 24 32 -0.6
+4 0 0 0 0 18 24 32 4.44089209850063e-16
+4 0 0 0 0 20 24 32 0.600000000000001
+4 0 0 0 0 22 24 32 1.2
+4 0 0 0 0 24 24 32 1.8
+4 0 0 0 0 26 24 32 2.4
+4 0 0 0 0 28 24 32 3
+4 0 0 0 0 30 24 32 3.6
+4 0 0 0 0 32 24 32 4.2
+4 0 0 0 0 34 24 32 4.8
+4 0 0 0 0 36 24 32 5.4
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 -2.7
+5 0 1 0 0 10 24 32 -2.4
+5 0 1 0 0 11 24 32 -2.1
+5 0 1 0 0 12 24 32 -1.8
+5 0 1 0 0 13 24 32 -1.5
+5 0 1 0 0 14 24 32 -1.2
+5 0 1 0 0 15 24 32 -0.9
+5 0 1 0 0 16 24 32 -0.6
+5 0 1 0 0 17 24 32 -0.3
+5 0 1 0 0 18 24 32 4.44089209850063e-16
+5 0 1 0 0 19 24 32 0.3
+5 0 1 0 0 20 24 32 0.600000000000001
+5 0 1 0 0 21 24 32 0.900000000000001
+5 0 1 0 0 22 24 32 1.2
+5 0 1 0 0 23 24 32 1.5
+5 0 1 0 0 24 24 32 1.8
+5 0 1 0 0 25 24 32 2.1
+5 0 1 0 0 26 24 32 2.4
+5 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 -2.7
+6 0 1 0 0 10 24 32 -2.4
+6 0 1 0 0 11 24 32 -2.1
+6 0 1 0 0 12 24 32 -1.8
+6 0 1 0 0 13 24 32 -1.5
+6 0 1 0 0 14 24 32 -1.2
+6 0 1 0 0 15 24 32 -0.9
+6 0 1 0 0 16 24 32 -0.6
+6 0 1 0 0 17 24 32 -0.3
+6 0 1 0 0 18 24 32 4.44089209850063e-16
+6 0 1 0 0 19 24 32 0.3
+6 0 1 0 0 20 24 32 0.600000000000001
+6 0 1 0 0 21 24 32 0.900000000000001
+6 0 1 0 0 22 24 32 1.2
+6 0 1 0 0 23 24 32 1.5
+6 0 1 0 0 24 24 32 1.8
+6 0 1 0 0 25 24 32 2.1
+6 0 1 0 0 26 24 32 2.4
+6 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -5.4
+6 0 0 0 0 2 24 32 -4.8
+6 0 0 0 0 4 24 32 -4.2
+6 0 0 0 0 6 24 32 -3.6
+6 0 0 0 0 8 24 32 -3
+6 0 0 0 0 10 24 32 -2.4
+6 0 0 0 0 12 24 32 -1.8
+6 0 0 0 0 14 24 32 -1.2
+6 0 0 0 0 16 24 32 -0.6
+6 0 0 0 0 18 24 32 4.44089209850063e-16
+6 0 0 0 0 20 24 32 0.600000000000001
+6 0 0 0 0 22 24 32 1.2
+6 0 0 0 0 24 24 32 1.8
+6 0 0 0 0 26 24 32 2.4
+6 0 0 0 0 28 24 32 3
+6 0 0 0 0 30 24 32 3.6
+6 0 0 0 0 32 24 32 4.2
+6 0 0 0 0 34 24 32 4.8
+6 0 0 0 0 36 24 32 5.4
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 -2.7
+7 0 1 0 0 10 24 32 -2.4
+7 0 1 0 0 11 24 32 -2.1
+7 0 1 0 0 12 24 32 -1.8
+7 0 1 0 0 13 24 32 -1.5
+7 0 1 0 0 14 24 32 -1.2
+7 0 1 0 0 15 24 32 -0.9
+7 0 1 0 0 16 24 32 -0.6
+7 0 1 0 0 17 24 32 -0.3
+7 0 1 0 0 18 24 32 4.44089209850063e-16
+7 0 1 0 0 19 24 32 0.3
+7 0 1 0 0 20 24 32 0.600000000000001
+7 0 1 0 0 21 24 32 0.900000000000001
+7 0 1 0 0 22 24 32 1.2
+7 0 1 0 0 23 24 32 1.5
+7 0 1 0 0 24 24 32 1.8
+7 0 1 0 0 25 24 32 2.1
+7 0 1 0 0 26 24 32 2.4
+7 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 -2.7
+8 0 1 0 0 10 24 32 -2.4
+8 0 1 0 0 11 24 32 -2.1
+8 0 1 0 0 12 24 32 -1.8
+8 0 1 0 0 13 24 32 -1.5
+8 0 1 0 0 14 24 32 -1.2
+8 0 1 0 0 15 24 32 -0.9
+8 0 1 0 0 16 24 32 -0.6
+8 0 1 0 0 17 24 32 -0.3
+8 0 1 0 0 18 24 32 4.44089209850063e-16
+8 0 1 0 0 19 24 32 0.3
+8 0 1 0 0 20 24 32 0.600000000000001
+8 0 1 0 0 21 24 32 0.900000000000001
+8 0 1 0 0 22 24 32 1.2
+8 0 1 0 0 23 24 32 1.5
+8 0 1 0 0 24 24 32 1.8
+8 0 1 0 0 25 24 32 2.1
+8 0 1 0 0 26 24 32 2.4
+8 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -5.4
+8 0 0 0 0 2 24 32 -4.8
+8 0 0 0 0 4 24 32 -4.2
+8 0 0 0 0 6 24 32 -3.6
+8 0 0 0 0 8 24 32 -3
+8 0 0 0 0 10 24 32 -2.4
+8 0 0 0 0 12 24 32 -1.8
+8 0 0 0 0 14 24 32 -1.2
+8 0 0 0 0 16 24 32 -0.6
+8 0 0 0 0 18 24 32 4.44089209850063e-16
+8 0 0 0 0 20 24 32 0.600000000000001
+8 0 0 0 0 22 24 32 1.2
+8 0 0 0 0 24 24 32 1.8
+8 0 0 0 0 26 24 32 2.4
+8 0 0 0 0 28 24 32 3
+8 0 0 0 0 30 24 32 3.6
+8 0 0 0 0 32 24 32 4.2
+8 0 0 0 0 34 24 32 4.8
+8 0 0 0 0 36 24 32 5.4
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 -2.7
+9 0 1 0 0 10 24 32 -2.4
+9 0 1 0 0 11 24 32 -2.1
+9 0 1 0 0 12 24 32 -1.8
+9 0 1 0 0 13 24 32 -1.5
+9 0 1 0 0 14 24 32 -1.2
+9 0 1 0 0 15 24 32 -0.9
+9 0 1 0 0 16 24 32 -0.6
+9 0 1 0 0 17 24 32 -0.3
+9 0 1 0 0 18 24 32 4.44089209850063e-16
+9 0 1 0 0 19 24 32 0.3
+9 0 1 0 0 20 24 32 0.600000000000001
+9 0 1 0 0 21 24 32 0.900000000000001
+9 0 1 0 0 22 24 32 1.2
+9 0 1 0 0 23 24 32 1.5
+9 0 1 0 0 24 24 32 1.8
+9 0 1 0 0 25 24 32 2.1
+9 0 1 0 0 26 24 32 2.4
+9 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 -2.7
+10 0 1 0 0 10 24 32 -2.4
+10 0 1 0 0 11 24 32 -2.1
+10 0 1 0 0 12 24 32 -1.8
+10 0 1 0 0 13 24 32 -1.5
+10 0 1 0 0 14 24 32 -1.2
+10 0 1 0 0 15 24 32 -0.9
+10 0 1 0 0 16 24 32 -0.6
+10 0 1 0 0 17 24 32 -0.3
+10 0 1 0 0 18 24 32 4.44089209850063e-16
+10 0 1 0 0 19 24 32 0.3
+10 0 1 0 0 20 24 32 0.600000000000001
+10 0 1 0 0 21 24 32 0.900000000000001
+10 0 1 0 0 22 24 32 1.2
+10 0 1 0 0 23 24 32 1.5
+10 0 1 0 0 24 24 32 1.8
+10 0 1 0 0 25 24 32 2.1
+10 0 1 0 0 26 24 32 2.4
+10 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -5.4
+10 0 0 0 0 2 24 32 -4.8
+10 0 0 0 0 4 24 32 -4.2
+10 0 0 0 0 6 24 32 -3.6
+10 0 0 0 0 8 24 32 -3
+10 0 0 0 0 10 24 32 -2.4
+10 0 0 0 0 12 24 32 -1.8
+10 0 0 0 0 14 24 32 -1.2
+10 0 0 0 0 16 24 32 -0.6
+10 0 0 0 0 18 24 32 4.44089209850063e-16
+10 0 0 0 0 20 24 32 0.600000000000001
+10 0 0 0 0 22 24 32 1.2
+10 0 0 0 0 24 24 32 1.8
+10 0 0 0 0 26 24 32 2.4
+10 0 0 0 0 28 24 32 3
+10 0 0 0 0 30 24 32 3.6
+10 0 0 0 0 32 24 32 4.2
+10 0 0 0 0 34 24 32 4.8
+10 0 0 0 0 36 24 32 5.4
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 -2.7
+11 0 1 0 0 10 24 32 -2.4
+11 0 1 0 0 11 24 32 -2.1
+11 0 1 0 0 12 24 32 -1.8
+11 0 1 0 0 13 24 32 -1.5
+11 0 1 0 0 14 24 32 -1.2
+11 0 1 0 0 15 24 32 -0.9
+11 0 1 0 0 16 24 32 -0.6
+11 0 1 0 0 17 24 32 -0.3
+11 0 1 0 0 18 24 32 4.44089209850063e-16
+11 0 1 0 0 19 24 32 0.3
+11 0 1 0 0 20 24 32 0.600000000000001
+11 0 1 0 0 21 24 32 0.900000000000001
+11 0 1 0 0 22 24 32 1.2
+11 0 1 0 0 23 24 32 1.5
+11 0 1 0 0 24 24 32 1.8
+11 0 1 0 0 25 24 32 2.1
+11 0 1 0 0 26 24 32 2.4
+11 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 -2.7
+12 0 1 0 0 10 24 32 -2.4
+12 0 1 0 0 11 24 32 -2.1
+12 0 1 0 0 12 24 32 -1.8
+12 0 1 0 0 13 24 32 -1.5
+12 0 1 0 0 14 24 32 -1.2
+12 0 1 0 0 15 24 32 -0.9
+12 0 1 0 0 16 24 32 -0.6
+12 0 1 0 0 17 24 32 -0.3
+12 0 1 0 0 18 24 32 4.44089209850063e-16
+12 0 1 0 0 19 24 32 0.3
+12 0 1 0 0 20 24 32 0.600000000000001
+12 0 1 0 0 21 24 32 0.900000000000001
+12 0 1 0 0 22 24 32 1.2
+12 0 1 0 0 23 24 32 1.5
+12 0 1 0 0 24 24 32 1.8
+12 0 1 0 0 25 24 32 2.1
+12 0 1 0 0 26 24 32 2.4
+12 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -5.4
+12 0 0 0 0 2 24 32 -4.8
+12 0 0 0 0 4 24 32 -4.2
+12 0 0 0 0 6 24 32 -3.6
+12 0 0 0 0 8 24 32 -3
+12 0 0 0 0 10 24 32 -2.4
+12 0 0 0 0 12 24 32 -1.8
+12 0 0 0 0 14 24 32 -1.2
+12 0 0 0 0 16 24 32 -0.6
+12 0 0 0 0 18 24 32 4.44089209850063e-16
+12 0 0 0 0 20 24 32 0.600000000000001
+12 0 0 0 0 22 24 32 1.2
+12 0 0 0 0 24 24 32 1.8
+12 0 0 0 0 26 24 32 2.4
+12 0 0 0 0 28 24 32 3
+12 0 0 0 0 30 24 32 3.6
+12 0 0 0 0 32 24 32 4.2
+12 0 0 0 0 34 24 32 4.8
+12 0 0 0 0 36 24 32 5.4
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_x.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_x.yl
new file mode 100644
index 000000000..44fc64068
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_x.yl
@@ -0,0 +1,622 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 4.44089209850063e-16
+0 0 1 0 0 18 14 32 4.44089209850063e-16
+0 0 1 0 0 18 15 32 4.44089209850063e-16
+0 0 1 0 0 18 16 32 4.44089209850063e-16
+0 0 1 0 0 18 17 32 4.44089209850063e-16
+0 0 1 0 0 18 18 32 4.44089209850063e-16
+0 0 1 0 0 18 19 32 4.44089209850063e-16
+0 0 1 0 0 18 20 32 4.44089209850063e-16
+0 0 1 0 0 18 21 32 4.44089209850063e-16
+0 0 1 0 0 18 22 32 4.44089209850063e-16
+0 0 1 0 0 18 23 32 4.44089209850063e-16
+0 0 1 0 0 18 24 32 4.44089209850063e-16
+0 0 1 0 0 18 25 32 4.44089209850063e-16
+0 0 1 0 0 18 26 32 4.44089209850063e-16
+0 0 1 0 0 18 27 32 4.44089209850063e-16
+0 0 1 0 0 18 28 32 4.44089209850063e-16
+0 0 1 0 0 18 29 32 4.44089209850063e-16
+0 0 1 0 0 18 30 32 4.44089209850063e-16
+0 0 1 0 0 18 31 32 4.44089209850063e-16
+0 0 1 0 0 18 32 32 4.44089209850063e-16
+0 0 1 0 0 18 33 32 4.44089209850063e-16
+0 0 1 0 0 18 34 32 4.44089209850063e-16
+0 0 1 0 0 18 35 32 4.44089209850063e-16
+0 0 1 0 0 18 36 32 4.44089209850063e-16
+0 0 1 0 0 18 37 32 4.44089209850063e-16
+0 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 4.44089209850063e-16
+0 0 0 0 0 18 2 32 4.44089209850063e-16
+0 0 0 0 0 18 4 32 4.44089209850063e-16
+0 0 0 0 0 18 6 32 4.44089209850063e-16
+0 0 0 0 0 18 8 32 4.44089209850063e-16
+0 0 0 0 0 18 10 32 4.44089209850063e-16
+0 0 0 0 0 18 12 32 4.44089209850063e-16
+0 0 0 0 0 18 14 32 4.44089209850063e-16
+0 0 0 0 0 18 16 32 4.44089209850063e-16
+0 0 0 0 0 18 18 32 4.44089209850063e-16
+0 0 0 0 0 18 20 32 4.44089209850063e-16
+0 0 0 0 0 18 22 32 4.44089209850063e-16
+0 0 0 0 0 18 24 32 4.44089209850063e-16
+0 0 0 0 0 18 26 32 4.44089209850063e-16
+0 0 0 0 0 18 28 32 4.44089209850063e-16
+0 0 0 0 0 18 30 32 4.44089209850063e-16
+0 0 0 0 0 18 32 32 4.44089209850063e-16
+0 0 0 0 0 18 34 32 4.44089209850063e-16
+0 0 0 0 0 18 36 32 4.44089209850063e-16
+0 0 0 0 0 18 38 32 4.44089209850063e-16
+0 0 0 0 0 18 40 32 4.44089209850063e-16
+0 0 0 0 0 18 42 32 4.44089209850063e-16
+0 0 0 0 0 18 44 32 4.44089209850063e-16
+0 0 0 0 0 18 46 32 4.44089209850063e-16
+0 0 0 0 0 18 48 32 4.44089209850063e-16
+0 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 4.44089209850063e-16
+1 0 1 0 0 18 14 32 4.44089209850063e-16
+1 0 1 0 0 18 15 32 4.44089209850063e-16
+1 0 1 0 0 18 16 32 4.44089209850063e-16
+1 0 1 0 0 18 17 32 4.44089209850063e-16
+1 0 1 0 0 18 18 32 4.44089209850063e-16
+1 0 1 0 0 18 19 32 4.44089209850063e-16
+1 0 1 0 0 18 20 32 4.44089209850063e-16
+1 0 1 0 0 18 21 32 4.44089209850063e-16
+1 0 1 0 0 18 22 32 4.44089209850063e-16
+1 0 1 0 0 18 23 32 4.44089209850063e-16
+1 0 1 0 0 18 24 32 4.44089209850063e-16
+1 0 1 0 0 18 25 32 4.44089209850063e-16
+1 0 1 0 0 18 26 32 4.44089209850063e-16
+1 0 1 0 0 18 27 32 4.44089209850063e-16
+1 0 1 0 0 18 28 32 4.44089209850063e-16
+1 0 1 0 0 18 29 32 4.44089209850063e-16
+1 0 1 0 0 18 30 32 4.44089209850063e-16
+1 0 1 0 0 18 31 32 4.44089209850063e-16
+1 0 1 0 0 18 32 32 4.44089209850063e-16
+1 0 1 0 0 18 33 32 4.44089209850063e-16
+1 0 1 0 0 18 34 32 4.44089209850063e-16
+1 0 1 0 0 18 35 32 4.44089209850063e-16
+1 0 1 0 0 18 36 32 4.44089209850063e-16
+1 0 1 0 0 18 37 32 4.44089209850063e-16
+1 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 4.44089209850063e-16
+2 0 1 0 0 18 14 32 4.44089209850063e-16
+2 0 1 0 0 18 15 32 4.44089209850063e-16
+2 0 1 0 0 18 16 32 4.44089209850063e-16
+2 0 1 0 0 18 17 32 4.44089209850063e-16
+2 0 1 0 0 18 18 32 4.44089209850063e-16
+2 0 1 0 0 18 19 32 4.44089209850063e-16
+2 0 1 0 0 18 20 32 4.44089209850063e-16
+2 0 1 0 0 18 21 32 4.44089209850063e-16
+2 0 1 0 0 18 22 32 4.44089209850063e-16
+2 0 1 0 0 18 23 32 4.44089209850063e-16
+2 0 1 0 0 18 24 32 4.44089209850063e-16
+2 0 1 0 0 18 25 32 4.44089209850063e-16
+2 0 1 0 0 18 26 32 4.44089209850063e-16
+2 0 1 0 0 18 27 32 4.44089209850063e-16
+2 0 1 0 0 18 28 32 4.44089209850063e-16
+2 0 1 0 0 18 29 32 4.44089209850063e-16
+2 0 1 0 0 18 30 32 4.44089209850063e-16
+2 0 1 0 0 18 31 32 4.44089209850063e-16
+2 0 1 0 0 18 32 32 4.44089209850063e-16
+2 0 1 0 0 18 33 32 4.44089209850063e-16
+2 0 1 0 0 18 34 32 4.44089209850063e-16
+2 0 1 0 0 18 35 32 4.44089209850063e-16
+2 0 1 0 0 18 36 32 4.44089209850063e-16
+2 0 1 0 0 18 37 32 4.44089209850063e-16
+2 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 4.44089209850063e-16
+2 0 0 0 0 18 2 32 4.44089209850063e-16
+2 0 0 0 0 18 4 32 4.44089209850063e-16
+2 0 0 0 0 18 6 32 4.44089209850063e-16
+2 0 0 0 0 18 8 32 4.44089209850063e-16
+2 0 0 0 0 18 10 32 4.44089209850063e-16
+2 0 0 0 0 18 12 32 4.44089209850063e-16
+2 0 0 0 0 18 14 32 4.44089209850063e-16
+2 0 0 0 0 18 16 32 4.44089209850063e-16
+2 0 0 0 0 18 18 32 4.44089209850063e-16
+2 0 0 0 0 18 20 32 4.44089209850063e-16
+2 0 0 0 0 18 22 32 4.44089209850063e-16
+2 0 0 0 0 18 24 32 4.44089209850063e-16
+2 0 0 0 0 18 26 32 4.44089209850063e-16
+2 0 0 0 0 18 28 32 4.44089209850063e-16
+2 0 0 0 0 18 30 32 4.44089209850063e-16
+2 0 0 0 0 18 32 32 4.44089209850063e-16
+2 0 0 0 0 18 34 32 4.44089209850063e-16
+2 0 0 0 0 18 36 32 4.44089209850063e-16
+2 0 0 0 0 18 38 32 4.44089209850063e-16
+2 0 0 0 0 18 40 32 4.44089209850063e-16
+2 0 0 0 0 18 42 32 4.44089209850063e-16
+2 0 0 0 0 18 44 32 4.44089209850063e-16
+2 0 0 0 0 18 46 32 4.44089209850063e-16
+2 0 0 0 0 18 48 32 4.44089209850063e-16
+2 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 4.44089209850063e-16
+3 0 1 0 0 18 14 32 4.44089209850063e-16
+3 0 1 0 0 18 15 32 4.44089209850063e-16
+3 0 1 0 0 18 16 32 4.44089209850063e-16
+3 0 1 0 0 18 17 32 4.44089209850063e-16
+3 0 1 0 0 18 18 32 4.44089209850063e-16
+3 0 1 0 0 18 19 32 4.44089209850063e-16
+3 0 1 0 0 18 20 32 4.44089209850063e-16
+3 0 1 0 0 18 21 32 4.44089209850063e-16
+3 0 1 0 0 18 22 32 4.44089209850063e-16
+3 0 1 0 0 18 23 32 4.44089209850063e-16
+3 0 1 0 0 18 24 32 4.44089209850063e-16
+3 0 1 0 0 18 25 32 4.44089209850063e-16
+3 0 1 0 0 18 26 32 4.44089209850063e-16
+3 0 1 0 0 18 27 32 4.44089209850063e-16
+3 0 1 0 0 18 28 32 4.44089209850063e-16
+3 0 1 0 0 18 29 32 4.44089209850063e-16
+3 0 1 0 0 18 30 32 4.44089209850063e-16
+3 0 1 0 0 18 31 32 4.44089209850063e-16
+3 0 1 0 0 18 32 32 4.44089209850063e-16
+3 0 1 0 0 18 33 32 4.44089209850063e-16
+3 0 1 0 0 18 34 32 4.44089209850063e-16
+3 0 1 0 0 18 35 32 4.44089209850063e-16
+3 0 1 0 0 18 36 32 4.44089209850063e-16
+3 0 1 0 0 18 37 32 4.44089209850063e-16
+3 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 4.44089209850063e-16
+4 0 1 0 0 18 14 32 4.44089209850063e-16
+4 0 1 0 0 18 15 32 4.44089209850063e-16
+4 0 1 0 0 18 16 32 4.44089209850063e-16
+4 0 1 0 0 18 17 32 4.44089209850063e-16
+4 0 1 0 0 18 18 32 4.44089209850063e-16
+4 0 1 0 0 18 19 32 4.44089209850063e-16
+4 0 1 0 0 18 20 32 4.44089209850063e-16
+4 0 1 0 0 18 21 32 4.44089209850063e-16
+4 0 1 0 0 18 22 32 4.44089209850063e-16
+4 0 1 0 0 18 23 32 4.44089209850063e-16
+4 0 1 0 0 18 24 32 4.44089209850063e-16
+4 0 1 0 0 18 25 32 4.44089209850063e-16
+4 0 1 0 0 18 26 32 4.44089209850063e-16
+4 0 1 0 0 18 27 32 4.44089209850063e-16
+4 0 1 0 0 18 28 32 4.44089209850063e-16
+4 0 1 0 0 18 29 32 4.44089209850063e-16
+4 0 1 0 0 18 30 32 4.44089209850063e-16
+4 0 1 0 0 18 31 32 4.44089209850063e-16
+4 0 1 0 0 18 32 32 4.44089209850063e-16
+4 0 1 0 0 18 33 32 4.44089209850063e-16
+4 0 1 0 0 18 34 32 4.44089209850063e-16
+4 0 1 0 0 18 35 32 4.44089209850063e-16
+4 0 1 0 0 18 36 32 4.44089209850063e-16
+4 0 1 0 0 18 37 32 4.44089209850063e-16
+4 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 4.44089209850063e-16
+4 0 0 0 0 18 2 32 4.44089209850063e-16
+4 0 0 0 0 18 4 32 4.44089209850063e-16
+4 0 0 0 0 18 6 32 4.44089209850063e-16
+4 0 0 0 0 18 8 32 4.44089209850063e-16
+4 0 0 0 0 18 10 32 4.44089209850063e-16
+4 0 0 0 0 18 12 32 4.44089209850063e-16
+4 0 0 0 0 18 14 32 4.44089209850063e-16
+4 0 0 0 0 18 16 32 4.44089209850063e-16
+4 0 0 0 0 18 18 32 4.44089209850063e-16
+4 0 0 0 0 18 20 32 4.44089209850063e-16
+4 0 0 0 0 18 22 32 4.44089209850063e-16
+4 0 0 0 0 18 24 32 4.44089209850063e-16
+4 0 0 0 0 18 26 32 4.44089209850063e-16
+4 0 0 0 0 18 28 32 4.44089209850063e-16
+4 0 0 0 0 18 30 32 4.44089209850063e-16
+4 0 0 0 0 18 32 32 4.44089209850063e-16
+4 0 0 0 0 18 34 32 4.44089209850063e-16
+4 0 0 0 0 18 36 32 4.44089209850063e-16
+4 0 0 0 0 18 38 32 4.44089209850063e-16
+4 0 0 0 0 18 40 32 4.44089209850063e-16
+4 0 0 0 0 18 42 32 4.44089209850063e-16
+4 0 0 0 0 18 44 32 4.44089209850063e-16
+4 0 0 0 0 18 46 32 4.44089209850063e-16
+4 0 0 0 0 18 48 32 4.44089209850063e-16
+4 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 4.44089209850063e-16
+5 0 1 0 0 18 14 32 4.44089209850063e-16
+5 0 1 0 0 18 15 32 4.44089209850063e-16
+5 0 1 0 0 18 16 32 4.44089209850063e-16
+5 0 1 0 0 18 17 32 4.44089209850063e-16
+5 0 1 0 0 18 18 32 4.44089209850063e-16
+5 0 1 0 0 18 19 32 4.44089209850063e-16
+5 0 1 0 0 18 20 32 4.44089209850063e-16
+5 0 1 0 0 18 21 32 4.44089209850063e-16
+5 0 1 0 0 18 22 32 4.44089209850063e-16
+5 0 1 0 0 18 23 32 4.44089209850063e-16
+5 0 1 0 0 18 24 32 4.44089209850063e-16
+5 0 1 0 0 18 25 32 4.44089209850063e-16
+5 0 1 0 0 18 26 32 4.44089209850063e-16
+5 0 1 0 0 18 27 32 4.44089209850063e-16
+5 0 1 0 0 18 28 32 4.44089209850063e-16
+5 0 1 0 0 18 29 32 4.44089209850063e-16
+5 0 1 0 0 18 30 32 4.44089209850063e-16
+5 0 1 0 0 18 31 32 4.44089209850063e-16
+5 0 1 0 0 18 32 32 4.44089209850063e-16
+5 0 1 0 0 18 33 32 4.44089209850063e-16
+5 0 1 0 0 18 34 32 4.44089209850063e-16
+5 0 1 0 0 18 35 32 4.44089209850063e-16
+5 0 1 0 0 18 36 32 4.44089209850063e-16
+5 0 1 0 0 18 37 32 4.44089209850063e-16
+5 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 4.44089209850063e-16
+6 0 1 0 0 18 14 32 4.44089209850063e-16
+6 0 1 0 0 18 15 32 4.44089209850063e-16
+6 0 1 0 0 18 16 32 4.44089209850063e-16
+6 0 1 0 0 18 17 32 4.44089209850063e-16
+6 0 1 0 0 18 18 32 4.44089209850063e-16
+6 0 1 0 0 18 19 32 4.44089209850063e-16
+6 0 1 0 0 18 20 32 4.44089209850063e-16
+6 0 1 0 0 18 21 32 4.44089209850063e-16
+6 0 1 0 0 18 22 32 4.44089209850063e-16
+6 0 1 0 0 18 23 32 4.44089209850063e-16
+6 0 1 0 0 18 24 32 4.44089209850063e-16
+6 0 1 0 0 18 25 32 4.44089209850063e-16
+6 0 1 0 0 18 26 32 4.44089209850063e-16
+6 0 1 0 0 18 27 32 4.44089209850063e-16
+6 0 1 0 0 18 28 32 4.44089209850063e-16
+6 0 1 0 0 18 29 32 4.44089209850063e-16
+6 0 1 0 0 18 30 32 4.44089209850063e-16
+6 0 1 0 0 18 31 32 4.44089209850063e-16
+6 0 1 0 0 18 32 32 4.44089209850063e-16
+6 0 1 0 0 18 33 32 4.44089209850063e-16
+6 0 1 0 0 18 34 32 4.44089209850063e-16
+6 0 1 0 0 18 35 32 4.44089209850063e-16
+6 0 1 0 0 18 36 32 4.44089209850063e-16
+6 0 1 0 0 18 37 32 4.44089209850063e-16
+6 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 4.44089209850063e-16
+6 0 0 0 0 18 2 32 4.44089209850063e-16
+6 0 0 0 0 18 4 32 4.44089209850063e-16
+6 0 0 0 0 18 6 32 4.44089209850063e-16
+6 0 0 0 0 18 8 32 4.44089209850063e-16
+6 0 0 0 0 18 10 32 4.44089209850063e-16
+6 0 0 0 0 18 12 32 4.44089209850063e-16
+6 0 0 0 0 18 14 32 4.44089209850063e-16
+6 0 0 0 0 18 16 32 4.44089209850063e-16
+6 0 0 0 0 18 18 32 4.44089209850063e-16
+6 0 0 0 0 18 20 32 4.44089209850063e-16
+6 0 0 0 0 18 22 32 4.44089209850063e-16
+6 0 0 0 0 18 24 32 4.44089209850063e-16
+6 0 0 0 0 18 26 32 4.44089209850063e-16
+6 0 0 0 0 18 28 32 4.44089209850063e-16
+6 0 0 0 0 18 30 32 4.44089209850063e-16
+6 0 0 0 0 18 32 32 4.44089209850063e-16
+6 0 0 0 0 18 34 32 4.44089209850063e-16
+6 0 0 0 0 18 36 32 4.44089209850063e-16
+6 0 0 0 0 18 38 32 4.44089209850063e-16
+6 0 0 0 0 18 40 32 4.44089209850063e-16
+6 0 0 0 0 18 42 32 4.44089209850063e-16
+6 0 0 0 0 18 44 32 4.44089209850063e-16
+6 0 0 0 0 18 46 32 4.44089209850063e-16
+6 0 0 0 0 18 48 32 4.44089209850063e-16
+6 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 4.44089209850063e-16
+7 0 1 0 0 18 14 32 4.44089209850063e-16
+7 0 1 0 0 18 15 32 4.44089209850063e-16
+7 0 1 0 0 18 16 32 4.44089209850063e-16
+7 0 1 0 0 18 17 32 4.44089209850063e-16
+7 0 1 0 0 18 18 32 4.44089209850063e-16
+7 0 1 0 0 18 19 32 4.44089209850063e-16
+7 0 1 0 0 18 20 32 4.44089209850063e-16
+7 0 1 0 0 18 21 32 4.44089209850063e-16
+7 0 1 0 0 18 22 32 4.44089209850063e-16
+7 0 1 0 0 18 23 32 4.44089209850063e-16
+7 0 1 0 0 18 24 32 4.44089209850063e-16
+7 0 1 0 0 18 25 32 4.44089209850063e-16
+7 0 1 0 0 18 26 32 4.44089209850063e-16
+7 0 1 0 0 18 27 32 4.44089209850063e-16
+7 0 1 0 0 18 28 32 4.44089209850063e-16
+7 0 1 0 0 18 29 32 4.44089209850063e-16
+7 0 1 0 0 18 30 32 4.44089209850063e-16
+7 0 1 0 0 18 31 32 4.44089209850063e-16
+7 0 1 0 0 18 32 32 4.44089209850063e-16
+7 0 1 0 0 18 33 32 4.44089209850063e-16
+7 0 1 0 0 18 34 32 4.44089209850063e-16
+7 0 1 0 0 18 35 32 4.44089209850063e-16
+7 0 1 0 0 18 36 32 4.44089209850063e-16
+7 0 1 0 0 18 37 32 4.44089209850063e-16
+7 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 4.44089209850063e-16
+8 0 1 0 0 18 14 32 4.44089209850063e-16
+8 0 1 0 0 18 15 32 4.44089209850063e-16
+8 0 1 0 0 18 16 32 4.44089209850063e-16
+8 0 1 0 0 18 17 32 4.44089209850063e-16
+8 0 1 0 0 18 18 32 4.44089209850063e-16
+8 0 1 0 0 18 19 32 4.44089209850063e-16
+8 0 1 0 0 18 20 32 4.44089209850063e-16
+8 0 1 0 0 18 21 32 4.44089209850063e-16
+8 0 1 0 0 18 22 32 4.44089209850063e-16
+8 0 1 0 0 18 23 32 4.44089209850063e-16
+8 0 1 0 0 18 24 32 4.44089209850063e-16
+8 0 1 0 0 18 25 32 4.44089209850063e-16
+8 0 1 0 0 18 26 32 4.44089209850063e-16
+8 0 1 0 0 18 27 32 4.44089209850063e-16
+8 0 1 0 0 18 28 32 4.44089209850063e-16
+8 0 1 0 0 18 29 32 4.44089209850063e-16
+8 0 1 0 0 18 30 32 4.44089209850063e-16
+8 0 1 0 0 18 31 32 4.44089209850063e-16
+8 0 1 0 0 18 32 32 4.44089209850063e-16
+8 0 1 0 0 18 33 32 4.44089209850063e-16
+8 0 1 0 0 18 34 32 4.44089209850063e-16
+8 0 1 0 0 18 35 32 4.44089209850063e-16
+8 0 1 0 0 18 36 32 4.44089209850063e-16
+8 0 1 0 0 18 37 32 4.44089209850063e-16
+8 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 4.44089209850063e-16
+8 0 0 0 0 18 2 32 4.44089209850063e-16
+8 0 0 0 0 18 4 32 4.44089209850063e-16
+8 0 0 0 0 18 6 32 4.44089209850063e-16
+8 0 0 0 0 18 8 32 4.44089209850063e-16
+8 0 0 0 0 18 10 32 4.44089209850063e-16
+8 0 0 0 0 18 12 32 4.44089209850063e-16
+8 0 0 0 0 18 14 32 4.44089209850063e-16
+8 0 0 0 0 18 16 32 4.44089209850063e-16
+8 0 0 0 0 18 18 32 4.44089209850063e-16
+8 0 0 0 0 18 20 32 4.44089209850063e-16
+8 0 0 0 0 18 22 32 4.44089209850063e-16
+8 0 0 0 0 18 24 32 4.44089209850063e-16
+8 0 0 0 0 18 26 32 4.44089209850063e-16
+8 0 0 0 0 18 28 32 4.44089209850063e-16
+8 0 0 0 0 18 30 32 4.44089209850063e-16
+8 0 0 0 0 18 32 32 4.44089209850063e-16
+8 0 0 0 0 18 34 32 4.44089209850063e-16
+8 0 0 0 0 18 36 32 4.44089209850063e-16
+8 0 0 0 0 18 38 32 4.44089209850063e-16
+8 0 0 0 0 18 40 32 4.44089209850063e-16
+8 0 0 0 0 18 42 32 4.44089209850063e-16
+8 0 0 0 0 18 44 32 4.44089209850063e-16
+8 0 0 0 0 18 46 32 4.44089209850063e-16
+8 0 0 0 0 18 48 32 4.44089209850063e-16
+8 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 4.44089209850063e-16
+9 0 1 0 0 18 14 32 4.44089209850063e-16
+9 0 1 0 0 18 15 32 4.44089209850063e-16
+9 0 1 0 0 18 16 32 4.44089209850063e-16
+9 0 1 0 0 18 17 32 4.44089209850063e-16
+9 0 1 0 0 18 18 32 4.44089209850063e-16
+9 0 1 0 0 18 19 32 4.44089209850063e-16
+9 0 1 0 0 18 20 32 4.44089209850063e-16
+9 0 1 0 0 18 21 32 4.44089209850063e-16
+9 0 1 0 0 18 22 32 4.44089209850063e-16
+9 0 1 0 0 18 23 32 4.44089209850063e-16
+9 0 1 0 0 18 24 32 4.44089209850063e-16
+9 0 1 0 0 18 25 32 4.44089209850063e-16
+9 0 1 0 0 18 26 32 4.44089209850063e-16
+9 0 1 0 0 18 27 32 4.44089209850063e-16
+9 0 1 0 0 18 28 32 4.44089209850063e-16
+9 0 1 0 0 18 29 32 4.44089209850063e-16
+9 0 1 0 0 18 30 32 4.44089209850063e-16
+9 0 1 0 0 18 31 32 4.44089209850063e-16
+9 0 1 0 0 18 32 32 4.44089209850063e-16
+9 0 1 0 0 18 33 32 4.44089209850063e-16
+9 0 1 0 0 18 34 32 4.44089209850063e-16
+9 0 1 0 0 18 35 32 4.44089209850063e-16
+9 0 1 0 0 18 36 32 4.44089209850063e-16
+9 0 1 0 0 18 37 32 4.44089209850063e-16
+9 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 4.44089209850063e-16
+10 0 1 0 0 18 14 32 4.44089209850063e-16
+10 0 1 0 0 18 15 32 4.44089209850063e-16
+10 0 1 0 0 18 16 32 4.44089209850063e-16
+10 0 1 0 0 18 17 32 4.44089209850063e-16
+10 0 1 0 0 18 18 32 4.44089209850063e-16
+10 0 1 0 0 18 19 32 4.44089209850063e-16
+10 0 1 0 0 18 20 32 4.44089209850063e-16
+10 0 1 0 0 18 21 32 4.44089209850063e-16
+10 0 1 0 0 18 22 32 4.44089209850063e-16
+10 0 1 0 0 18 23 32 4.44089209850063e-16
+10 0 1 0 0 18 24 32 4.44089209850063e-16
+10 0 1 0 0 18 25 32 4.44089209850063e-16
+10 0 1 0 0 18 26 32 4.44089209850063e-16
+10 0 1 0 0 18 27 32 4.44089209850063e-16
+10 0 1 0 0 18 28 32 4.44089209850063e-16
+10 0 1 0 0 18 29 32 4.44089209850063e-16
+10 0 1 0 0 18 30 32 4.44089209850063e-16
+10 0 1 0 0 18 31 32 4.44089209850063e-16
+10 0 1 0 0 18 32 32 4.44089209850063e-16
+10 0 1 0 0 18 33 32 4.44089209850063e-16
+10 0 1 0 0 18 34 32 4.44089209850063e-16
+10 0 1 0 0 18 35 32 4.44089209850063e-16
+10 0 1 0 0 18 36 32 4.44089209850063e-16
+10 0 1 0 0 18 37 32 4.44089209850063e-16
+10 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 4.44089209850063e-16
+10 0 0 0 0 18 2 32 4.44089209850063e-16
+10 0 0 0 0 18 4 32 4.44089209850063e-16
+10 0 0 0 0 18 6 32 4.44089209850063e-16
+10 0 0 0 0 18 8 32 4.44089209850063e-16
+10 0 0 0 0 18 10 32 4.44089209850063e-16
+10 0 0 0 0 18 12 32 4.44089209850063e-16
+10 0 0 0 0 18 14 32 4.44089209850063e-16
+10 0 0 0 0 18 16 32 4.44089209850063e-16
+10 0 0 0 0 18 18 32 4.44089209850063e-16
+10 0 0 0 0 18 20 32 4.44089209850063e-16
+10 0 0 0 0 18 22 32 4.44089209850063e-16
+10 0 0 0 0 18 24 32 4.44089209850063e-16
+10 0 0 0 0 18 26 32 4.44089209850063e-16
+10 0 0 0 0 18 28 32 4.44089209850063e-16
+10 0 0 0 0 18 30 32 4.44089209850063e-16
+10 0 0 0 0 18 32 32 4.44089209850063e-16
+10 0 0 0 0 18 34 32 4.44089209850063e-16
+10 0 0 0 0 18 36 32 4.44089209850063e-16
+10 0 0 0 0 18 38 32 4.44089209850063e-16
+10 0 0 0 0 18 40 32 4.44089209850063e-16
+10 0 0 0 0 18 42 32 4.44089209850063e-16
+10 0 0 0 0 18 44 32 4.44089209850063e-16
+10 0 0 0 0 18 46 32 4.44089209850063e-16
+10 0 0 0 0 18 48 32 4.44089209850063e-16
+10 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 4.44089209850063e-16
+11 0 1 0 0 18 14 32 4.44089209850063e-16
+11 0 1 0 0 18 15 32 4.44089209850063e-16
+11 0 1 0 0 18 16 32 4.44089209850063e-16
+11 0 1 0 0 18 17 32 4.44089209850063e-16
+11 0 1 0 0 18 18 32 4.44089209850063e-16
+11 0 1 0 0 18 19 32 4.44089209850063e-16
+11 0 1 0 0 18 20 32 4.44089209850063e-16
+11 0 1 0 0 18 21 32 4.44089209850063e-16
+11 0 1 0 0 18 22 32 4.44089209850063e-16
+11 0 1 0 0 18 23 32 4.44089209850063e-16
+11 0 1 0 0 18 24 32 4.44089209850063e-16
+11 0 1 0 0 18 25 32 4.44089209850063e-16
+11 0 1 0 0 18 26 32 4.44089209850063e-16
+11 0 1 0 0 18 27 32 4.44089209850063e-16
+11 0 1 0 0 18 28 32 4.44089209850063e-16
+11 0 1 0 0 18 29 32 4.44089209850063e-16
+11 0 1 0 0 18 30 32 4.44089209850063e-16
+11 0 1 0 0 18 31 32 4.44089209850063e-16
+11 0 1 0 0 18 32 32 4.44089209850063e-16
+11 0 1 0 0 18 33 32 4.44089209850063e-16
+11 0 1 0 0 18 34 32 4.44089209850063e-16
+11 0 1 0 0 18 35 32 4.44089209850063e-16
+11 0 1 0 0 18 36 32 4.44089209850063e-16
+11 0 1 0 0 18 37 32 4.44089209850063e-16
+11 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 4.44089209850063e-16
+12 0 1 0 0 18 14 32 4.44089209850063e-16
+12 0 1 0 0 18 15 32 4.44089209850063e-16
+12 0 1 0 0 18 16 32 4.44089209850063e-16
+12 0 1 0 0 18 17 32 4.44089209850063e-16
+12 0 1 0 0 18 18 32 4.44089209850063e-16
+12 0 1 0 0 18 19 32 4.44089209850063e-16
+12 0 1 0 0 18 20 32 4.44089209850063e-16
+12 0 1 0 0 18 21 32 4.44089209850063e-16
+12 0 1 0 0 18 22 32 4.44089209850063e-16
+12 0 1 0 0 18 23 32 4.44089209850063e-16
+12 0 1 0 0 18 24 32 4.44089209850063e-16
+12 0 1 0 0 18 25 32 4.44089209850063e-16
+12 0 1 0 0 18 26 32 4.44089209850063e-16
+12 0 1 0 0 18 27 32 4.44089209850063e-16
+12 0 1 0 0 18 28 32 4.44089209850063e-16
+12 0 1 0 0 18 29 32 4.44089209850063e-16
+12 0 1 0 0 18 30 32 4.44089209850063e-16
+12 0 1 0 0 18 31 32 4.44089209850063e-16
+12 0 1 0 0 18 32 32 4.44089209850063e-16
+12 0 1 0 0 18 33 32 4.44089209850063e-16
+12 0 1 0 0 18 34 32 4.44089209850063e-16
+12 0 1 0 0 18 35 32 4.44089209850063e-16
+12 0 1 0 0 18 36 32 4.44089209850063e-16
+12 0 1 0 0 18 37 32 4.44089209850063e-16
+12 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 4.44089209850063e-16
+12 0 0 0 0 18 2 32 4.44089209850063e-16
+12 0 0 0 0 18 4 32 4.44089209850063e-16
+12 0 0 0 0 18 6 32 4.44089209850063e-16
+12 0 0 0 0 18 8 32 4.44089209850063e-16
+12 0 0 0 0 18 10 32 4.44089209850063e-16
+12 0 0 0 0 18 12 32 4.44089209850063e-16
+12 0 0 0 0 18 14 32 4.44089209850063e-16
+12 0 0 0 0 18 16 32 4.44089209850063e-16
+12 0 0 0 0 18 18 32 4.44089209850063e-16
+12 0 0 0 0 18 20 32 4.44089209850063e-16
+12 0 0 0 0 18 22 32 4.44089209850063e-16
+12 0 0 0 0 18 24 32 4.44089209850063e-16
+12 0 0 0 0 18 26 32 4.44089209850063e-16
+12 0 0 0 0 18 28 32 4.44089209850063e-16
+12 0 0 0 0 18 30 32 4.44089209850063e-16
+12 0 0 0 0 18 32 32 4.44089209850063e-16
+12 0 0 0 0 18 34 32 4.44089209850063e-16
+12 0 0 0 0 18 36 32 4.44089209850063e-16
+12 0 0 0 0 18 38 32 4.44089209850063e-16
+12 0 0 0 0 18 40 32 4.44089209850063e-16
+12 0 0 0 0 18 42 32 4.44089209850063e-16
+12 0 0 0 0 18 44 32 4.44089209850063e-16
+12 0 0 0 0 18 46 32 4.44089209850063e-16
+12 0 0 0 0 18 48 32 4.44089209850063e-16
+12 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_x.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_x.zl
new file mode 100644
index 000000000..2a73fe1f2
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_x.zl
@@ -0,0 +1,782 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 4.44089209850063e-16
+0 0 1 0 0 18 24 18 4.44089209850063e-16
+0 0 1 0 0 18 24 19 4.44089209850063e-16
+0 0 1 0 0 18 24 20 4.44089209850063e-16
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+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 4.44089209850063e-16
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+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 4.44089209850063e-16
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+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 4.44089209850063e-16
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+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 4.44089209850063e-16
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+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 4.44089209850063e-16
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+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 4.44089209850063e-16
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+5 0 1 0 0 18 24 49 4.44089209850063e-16
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+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 4.44089209850063e-16
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+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 4.44089209850063e-16
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+6 0 0 0 0 18 24 24 4.44089209850063e-16
+6 0 0 0 0 18 24 26 4.44089209850063e-16
+6 0 0 0 0 18 24 28 4.44089209850063e-16
+6 0 0 0 0 18 24 30 4.44089209850063e-16
+6 0 0 0 0 18 24 32 4.44089209850063e-16
+6 0 0 0 0 18 24 34 4.44089209850063e-16
+6 0 0 0 0 18 24 36 4.44089209850063e-16
+6 0 0 0 0 18 24 38 4.44089209850063e-16
+6 0 0 0 0 18 24 40 4.44089209850063e-16
+6 0 0 0 0 18 24 42 4.44089209850063e-16
+6 0 0 0 0 18 24 44 4.44089209850063e-16
+6 0 0 0 0 18 24 46 4.44089209850063e-16
+6 0 0 0 0 18 24 48 4.44089209850063e-16
+6 0 0 0 0 18 24 50 4.44089209850063e-16
+6 0 0 0 0 18 24 52 4.44089209850063e-16
+6 0 0 0 0 18 24 54 4.44089209850063e-16
+6 0 0 0 0 18 24 56 4.44089209850063e-16
+6 0 0 0 0 18 24 58 4.44089209850063e-16
+6 0 0 0 0 18 24 60 4.44089209850063e-16
+6 0 0 0 0 18 24 62 4.44089209850063e-16
+6 0 0 0 0 18 24 64 4.44089209850063e-16
+6 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 4.44089209850063e-16
+7 0 1 0 0 18 24 18 4.44089209850063e-16
+7 0 1 0 0 18 24 19 4.44089209850063e-16
+7 0 1 0 0 18 24 20 4.44089209850063e-16
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+7 0 1 0 0 18 24 22 4.44089209850063e-16
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+7 0 1 0 0 18 24 24 4.44089209850063e-16
+7 0 1 0 0 18 24 25 4.44089209850063e-16
+7 0 1 0 0 18 24 26 4.44089209850063e-16
+7 0 1 0 0 18 24 27 4.44089209850063e-16
+7 0 1 0 0 18 24 28 4.44089209850063e-16
+7 0 1 0 0 18 24 29 4.44089209850063e-16
+7 0 1 0 0 18 24 30 4.44089209850063e-16
+7 0 1 0 0 18 24 31 4.44089209850063e-16
+7 0 1 0 0 18 24 32 4.44089209850063e-16
+7 0 1 0 0 18 24 33 4.44089209850063e-16
+7 0 1 0 0 18 24 34 4.44089209850063e-16
+7 0 1 0 0 18 24 35 4.44089209850063e-16
+7 0 1 0 0 18 24 36 4.44089209850063e-16
+7 0 1 0 0 18 24 37 4.44089209850063e-16
+7 0 1 0 0 18 24 38 4.44089209850063e-16
+7 0 1 0 0 18 24 39 4.44089209850063e-16
+7 0 1 0 0 18 24 40 4.44089209850063e-16
+7 0 1 0 0 18 24 41 4.44089209850063e-16
+7 0 1 0 0 18 24 42 4.44089209850063e-16
+7 0 1 0 0 18 24 43 4.44089209850063e-16
+7 0 1 0 0 18 24 44 4.44089209850063e-16
+7 0 1 0 0 18 24 45 4.44089209850063e-16
+7 0 1 0 0 18 24 46 4.44089209850063e-16
+7 0 1 0 0 18 24 47 4.44089209850063e-16
+7 0 1 0 0 18 24 48 4.44089209850063e-16
+7 0 1 0 0 18 24 49 4.44089209850063e-16
+7 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 4.44089209850063e-16
+8 0 1 0 0 18 24 18 4.44089209850063e-16
+8 0 1 0 0 18 24 19 4.44089209850063e-16
+8 0 1 0 0 18 24 20 4.44089209850063e-16
+8 0 1 0 0 18 24 21 4.44089209850063e-16
+8 0 1 0 0 18 24 22 4.44089209850063e-16
+8 0 1 0 0 18 24 23 4.44089209850063e-16
+8 0 1 0 0 18 24 24 4.44089209850063e-16
+8 0 1 0 0 18 24 25 4.44089209850063e-16
+8 0 1 0 0 18 24 26 4.44089209850063e-16
+8 0 1 0 0 18 24 27 4.44089209850063e-16
+8 0 1 0 0 18 24 28 4.44089209850063e-16
+8 0 1 0 0 18 24 29 4.44089209850063e-16
+8 0 1 0 0 18 24 30 4.44089209850063e-16
+8 0 1 0 0 18 24 31 4.44089209850063e-16
+8 0 1 0 0 18 24 32 4.44089209850063e-16
+8 0 1 0 0 18 24 33 4.44089209850063e-16
+8 0 1 0 0 18 24 34 4.44089209850063e-16
+8 0 1 0 0 18 24 35 4.44089209850063e-16
+8 0 1 0 0 18 24 36 4.44089209850063e-16
+8 0 1 0 0 18 24 37 4.44089209850063e-16
+8 0 1 0 0 18 24 38 4.44089209850063e-16
+8 0 1 0 0 18 24 39 4.44089209850063e-16
+8 0 1 0 0 18 24 40 4.44089209850063e-16
+8 0 1 0 0 18 24 41 4.44089209850063e-16
+8 0 1 0 0 18 24 42 4.44089209850063e-16
+8 0 1 0 0 18 24 43 4.44089209850063e-16
+8 0 1 0 0 18 24 44 4.44089209850063e-16
+8 0 1 0 0 18 24 45 4.44089209850063e-16
+8 0 1 0 0 18 24 46 4.44089209850063e-16
+8 0 1 0 0 18 24 47 4.44089209850063e-16
+8 0 1 0 0 18 24 48 4.44089209850063e-16
+8 0 1 0 0 18 24 49 4.44089209850063e-16
+8 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 4.44089209850063e-16
+8 0 0 0 0 18 24 2 4.44089209850063e-16
+8 0 0 0 0 18 24 4 4.44089209850063e-16
+8 0 0 0 0 18 24 6 4.44089209850063e-16
+8 0 0 0 0 18 24 8 4.44089209850063e-16
+8 0 0 0 0 18 24 10 4.44089209850063e-16
+8 0 0 0 0 18 24 12 4.44089209850063e-16
+8 0 0 0 0 18 24 14 4.44089209850063e-16
+8 0 0 0 0 18 24 16 4.44089209850063e-16
+8 0 0 0 0 18 24 18 4.44089209850063e-16
+8 0 0 0 0 18 24 20 4.44089209850063e-16
+8 0 0 0 0 18 24 22 4.44089209850063e-16
+8 0 0 0 0 18 24 24 4.44089209850063e-16
+8 0 0 0 0 18 24 26 4.44089209850063e-16
+8 0 0 0 0 18 24 28 4.44089209850063e-16
+8 0 0 0 0 18 24 30 4.44089209850063e-16
+8 0 0 0 0 18 24 32 4.44089209850063e-16
+8 0 0 0 0 18 24 34 4.44089209850063e-16
+8 0 0 0 0 18 24 36 4.44089209850063e-16
+8 0 0 0 0 18 24 38 4.44089209850063e-16
+8 0 0 0 0 18 24 40 4.44089209850063e-16
+8 0 0 0 0 18 24 42 4.44089209850063e-16
+8 0 0 0 0 18 24 44 4.44089209850063e-16
+8 0 0 0 0 18 24 46 4.44089209850063e-16
+8 0 0 0 0 18 24 48 4.44089209850063e-16
+8 0 0 0 0 18 24 50 4.44089209850063e-16
+8 0 0 0 0 18 24 52 4.44089209850063e-16
+8 0 0 0 0 18 24 54 4.44089209850063e-16
+8 0 0 0 0 18 24 56 4.44089209850063e-16
+8 0 0 0 0 18 24 58 4.44089209850063e-16
+8 0 0 0 0 18 24 60 4.44089209850063e-16
+8 0 0 0 0 18 24 62 4.44089209850063e-16
+8 0 0 0 0 18 24 64 4.44089209850063e-16
+8 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 4.44089209850063e-16
+9 0 1 0 0 18 24 18 4.44089209850063e-16
+9 0 1 0 0 18 24 19 4.44089209850063e-16
+9 0 1 0 0 18 24 20 4.44089209850063e-16
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+9 0 1 0 0 18 24 22 4.44089209850063e-16
+9 0 1 0 0 18 24 23 4.44089209850063e-16
+9 0 1 0 0 18 24 24 4.44089209850063e-16
+9 0 1 0 0 18 24 25 4.44089209850063e-16
+9 0 1 0 0 18 24 26 4.44089209850063e-16
+9 0 1 0 0 18 24 27 4.44089209850063e-16
+9 0 1 0 0 18 24 28 4.44089209850063e-16
+9 0 1 0 0 18 24 29 4.44089209850063e-16
+9 0 1 0 0 18 24 30 4.44089209850063e-16
+9 0 1 0 0 18 24 31 4.44089209850063e-16
+9 0 1 0 0 18 24 32 4.44089209850063e-16
+9 0 1 0 0 18 24 33 4.44089209850063e-16
+9 0 1 0 0 18 24 34 4.44089209850063e-16
+9 0 1 0 0 18 24 35 4.44089209850063e-16
+9 0 1 0 0 18 24 36 4.44089209850063e-16
+9 0 1 0 0 18 24 37 4.44089209850063e-16
+9 0 1 0 0 18 24 38 4.44089209850063e-16
+9 0 1 0 0 18 24 39 4.44089209850063e-16
+9 0 1 0 0 18 24 40 4.44089209850063e-16
+9 0 1 0 0 18 24 41 4.44089209850063e-16
+9 0 1 0 0 18 24 42 4.44089209850063e-16
+9 0 1 0 0 18 24 43 4.44089209850063e-16
+9 0 1 0 0 18 24 44 4.44089209850063e-16
+9 0 1 0 0 18 24 45 4.44089209850063e-16
+9 0 1 0 0 18 24 46 4.44089209850063e-16
+9 0 1 0 0 18 24 47 4.44089209850063e-16
+9 0 1 0 0 18 24 48 4.44089209850063e-16
+9 0 1 0 0 18 24 49 4.44089209850063e-16
+9 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 4.44089209850063e-16
+10 0 1 0 0 18 24 18 4.44089209850063e-16
+10 0 1 0 0 18 24 19 4.44089209850063e-16
+10 0 1 0 0 18 24 20 4.44089209850063e-16
+10 0 1 0 0 18 24 21 4.44089209850063e-16
+10 0 1 0 0 18 24 22 4.44089209850063e-16
+10 0 1 0 0 18 24 23 4.44089209850063e-16
+10 0 1 0 0 18 24 24 4.44089209850063e-16
+10 0 1 0 0 18 24 25 4.44089209850063e-16
+10 0 1 0 0 18 24 26 4.44089209850063e-16
+10 0 1 0 0 18 24 27 4.44089209850063e-16
+10 0 1 0 0 18 24 28 4.44089209850063e-16
+10 0 1 0 0 18 24 29 4.44089209850063e-16
+10 0 1 0 0 18 24 30 4.44089209850063e-16
+10 0 1 0 0 18 24 31 4.44089209850063e-16
+10 0 1 0 0 18 24 32 4.44089209850063e-16
+10 0 1 0 0 18 24 33 4.44089209850063e-16
+10 0 1 0 0 18 24 34 4.44089209850063e-16
+10 0 1 0 0 18 24 35 4.44089209850063e-16
+10 0 1 0 0 18 24 36 4.44089209850063e-16
+10 0 1 0 0 18 24 37 4.44089209850063e-16
+10 0 1 0 0 18 24 38 4.44089209850063e-16
+10 0 1 0 0 18 24 39 4.44089209850063e-16
+10 0 1 0 0 18 24 40 4.44089209850063e-16
+10 0 1 0 0 18 24 41 4.44089209850063e-16
+10 0 1 0 0 18 24 42 4.44089209850063e-16
+10 0 1 0 0 18 24 43 4.44089209850063e-16
+10 0 1 0 0 18 24 44 4.44089209850063e-16
+10 0 1 0 0 18 24 45 4.44089209850063e-16
+10 0 1 0 0 18 24 46 4.44089209850063e-16
+10 0 1 0 0 18 24 47 4.44089209850063e-16
+10 0 1 0 0 18 24 48 4.44089209850063e-16
+10 0 1 0 0 18 24 49 4.44089209850063e-16
+10 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 4.44089209850063e-16
+10 0 0 0 0 18 24 2 4.44089209850063e-16
+10 0 0 0 0 18 24 4 4.44089209850063e-16
+10 0 0 0 0 18 24 6 4.44089209850063e-16
+10 0 0 0 0 18 24 8 4.44089209850063e-16
+10 0 0 0 0 18 24 10 4.44089209850063e-16
+10 0 0 0 0 18 24 12 4.44089209850063e-16
+10 0 0 0 0 18 24 14 4.44089209850063e-16
+10 0 0 0 0 18 24 16 4.44089209850063e-16
+10 0 0 0 0 18 24 18 4.44089209850063e-16
+10 0 0 0 0 18 24 20 4.44089209850063e-16
+10 0 0 0 0 18 24 22 4.44089209850063e-16
+10 0 0 0 0 18 24 24 4.44089209850063e-16
+10 0 0 0 0 18 24 26 4.44089209850063e-16
+10 0 0 0 0 18 24 28 4.44089209850063e-16
+10 0 0 0 0 18 24 30 4.44089209850063e-16
+10 0 0 0 0 18 24 32 4.44089209850063e-16
+10 0 0 0 0 18 24 34 4.44089209850063e-16
+10 0 0 0 0 18 24 36 4.44089209850063e-16
+10 0 0 0 0 18 24 38 4.44089209850063e-16
+10 0 0 0 0 18 24 40 4.44089209850063e-16
+10 0 0 0 0 18 24 42 4.44089209850063e-16
+10 0 0 0 0 18 24 44 4.44089209850063e-16
+10 0 0 0 0 18 24 46 4.44089209850063e-16
+10 0 0 0 0 18 24 48 4.44089209850063e-16
+10 0 0 0 0 18 24 50 4.44089209850063e-16
+10 0 0 0 0 18 24 52 4.44089209850063e-16
+10 0 0 0 0 18 24 54 4.44089209850063e-16
+10 0 0 0 0 18 24 56 4.44089209850063e-16
+10 0 0 0 0 18 24 58 4.44089209850063e-16
+10 0 0 0 0 18 24 60 4.44089209850063e-16
+10 0 0 0 0 18 24 62 4.44089209850063e-16
+10 0 0 0 0 18 24 64 4.44089209850063e-16
+10 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 4.44089209850063e-16
+11 0 1 0 0 18 24 18 4.44089209850063e-16
+11 0 1 0 0 18 24 19 4.44089209850063e-16
+11 0 1 0 0 18 24 20 4.44089209850063e-16
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+11 0 1 0 0 18 24 24 4.44089209850063e-16
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+11 0 1 0 0 18 24 26 4.44089209850063e-16
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+11 0 1 0 0 18 24 28 4.44089209850063e-16
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+11 0 1 0 0 18 24 31 4.44089209850063e-16
+11 0 1 0 0 18 24 32 4.44089209850063e-16
+11 0 1 0 0 18 24 33 4.44089209850063e-16
+11 0 1 0 0 18 24 34 4.44089209850063e-16
+11 0 1 0 0 18 24 35 4.44089209850063e-16
+11 0 1 0 0 18 24 36 4.44089209850063e-16
+11 0 1 0 0 18 24 37 4.44089209850063e-16
+11 0 1 0 0 18 24 38 4.44089209850063e-16
+11 0 1 0 0 18 24 39 4.44089209850063e-16
+11 0 1 0 0 18 24 40 4.44089209850063e-16
+11 0 1 0 0 18 24 41 4.44089209850063e-16
+11 0 1 0 0 18 24 42 4.44089209850063e-16
+11 0 1 0 0 18 24 43 4.44089209850063e-16
+11 0 1 0 0 18 24 44 4.44089209850063e-16
+11 0 1 0 0 18 24 45 4.44089209850063e-16
+11 0 1 0 0 18 24 46 4.44089209850063e-16
+11 0 1 0 0 18 24 47 4.44089209850063e-16
+11 0 1 0 0 18 24 48 4.44089209850063e-16
+11 0 1 0 0 18 24 49 4.44089209850063e-16
+11 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 4.44089209850063e-16
+12 0 1 0 0 18 24 18 4.44089209850063e-16
+12 0 1 0 0 18 24 19 4.44089209850063e-16
+12 0 1 0 0 18 24 20 4.44089209850063e-16
+12 0 1 0 0 18 24 21 4.44089209850063e-16
+12 0 1 0 0 18 24 22 4.44089209850063e-16
+12 0 1 0 0 18 24 23 4.44089209850063e-16
+12 0 1 0 0 18 24 24 4.44089209850063e-16
+12 0 1 0 0 18 24 25 4.44089209850063e-16
+12 0 1 0 0 18 24 26 4.44089209850063e-16
+12 0 1 0 0 18 24 27 4.44089209850063e-16
+12 0 1 0 0 18 24 28 4.44089209850063e-16
+12 0 1 0 0 18 24 29 4.44089209850063e-16
+12 0 1 0 0 18 24 30 4.44089209850063e-16
+12 0 1 0 0 18 24 31 4.44089209850063e-16
+12 0 1 0 0 18 24 32 4.44089209850063e-16
+12 0 1 0 0 18 24 33 4.44089209850063e-16
+12 0 1 0 0 18 24 34 4.44089209850063e-16
+12 0 1 0 0 18 24 35 4.44089209850063e-16
+12 0 1 0 0 18 24 36 4.44089209850063e-16
+12 0 1 0 0 18 24 37 4.44089209850063e-16
+12 0 1 0 0 18 24 38 4.44089209850063e-16
+12 0 1 0 0 18 24 39 4.44089209850063e-16
+12 0 1 0 0 18 24 40 4.44089209850063e-16
+12 0 1 0 0 18 24 41 4.44089209850063e-16
+12 0 1 0 0 18 24 42 4.44089209850063e-16
+12 0 1 0 0 18 24 43 4.44089209850063e-16
+12 0 1 0 0 18 24 44 4.44089209850063e-16
+12 0 1 0 0 18 24 45 4.44089209850063e-16
+12 0 1 0 0 18 24 46 4.44089209850063e-16
+12 0 1 0 0 18 24 47 4.44089209850063e-16
+12 0 1 0 0 18 24 48 4.44089209850063e-16
+12 0 1 0 0 18 24 49 4.44089209850063e-16
+12 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 4.44089209850063e-16
+12 0 0 0 0 18 24 2 4.44089209850063e-16
+12 0 0 0 0 18 24 4 4.44089209850063e-16
+12 0 0 0 0 18 24 6 4.44089209850063e-16
+12 0 0 0 0 18 24 8 4.44089209850063e-16
+12 0 0 0 0 18 24 10 4.44089209850063e-16
+12 0 0 0 0 18 24 12 4.44089209850063e-16
+12 0 0 0 0 18 24 14 4.44089209850063e-16
+12 0 0 0 0 18 24 16 4.44089209850063e-16
+12 0 0 0 0 18 24 18 4.44089209850063e-16
+12 0 0 0 0 18 24 20 4.44089209850063e-16
+12 0 0 0 0 18 24 22 4.44089209850063e-16
+12 0 0 0 0 18 24 24 4.44089209850063e-16
+12 0 0 0 0 18 24 26 4.44089209850063e-16
+12 0 0 0 0 18 24 28 4.44089209850063e-16
+12 0 0 0 0 18 24 30 4.44089209850063e-16
+12 0 0 0 0 18 24 32 4.44089209850063e-16
+12 0 0 0 0 18 24 34 4.44089209850063e-16
+12 0 0 0 0 18 24 36 4.44089209850063e-16
+12 0 0 0 0 18 24 38 4.44089209850063e-16
+12 0 0 0 0 18 24 40 4.44089209850063e-16
+12 0 0 0 0 18 24 42 4.44089209850063e-16
+12 0 0 0 0 18 24 44 4.44089209850063e-16
+12 0 0 0 0 18 24 46 4.44089209850063e-16
+12 0 0 0 0 18 24 48 4.44089209850063e-16
+12 0 0 0 0 18 24 50 4.44089209850063e-16
+12 0 0 0 0 18 24 52 4.44089209850063e-16
+12 0 0 0 0 18 24 54 4.44089209850063e-16
+12 0 0 0 0 18 24 56 4.44089209850063e-16
+12 0 0 0 0 18 24 58 4.44089209850063e-16
+12 0 0 0 0 18 24 60 4.44089209850063e-16
+12 0 0 0 0 18 24 62 4.44089209850063e-16
+12 0 0 0 0 18 24 64 4.44089209850063e-16
+12 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_y.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_y.xl
new file mode 100644
index 000000000..463d316c5
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_y.xl
@@ -0,0 +1,482 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -4.44089209850063e-16
+0 0 1 0 0 10 24 32 -4.44089209850063e-16
+0 0 1 0 0 11 24 32 -4.44089209850063e-16
+0 0 1 0 0 12 24 32 -4.44089209850063e-16
+0 0 1 0 0 13 24 32 -4.44089209850063e-16
+0 0 1 0 0 14 24 32 -4.44089209850063e-16
+0 0 1 0 0 15 24 32 -4.44089209850063e-16
+0 0 1 0 0 16 24 32 -4.44089209850063e-16
+0 0 1 0 0 17 24 32 -4.44089209850063e-16
+0 0 1 0 0 18 24 32 -4.44089209850063e-16
+0 0 1 0 0 19 24 32 -4.44089209850063e-16
+0 0 1 0 0 20 24 32 -4.44089209850063e-16
+0 0 1 0 0 21 24 32 -4.44089209850063e-16
+0 0 1 0 0 22 24 32 -4.44089209850063e-16
+0 0 1 0 0 23 24 32 -4.44089209850063e-16
+0 0 1 0 0 24 24 32 -4.44089209850063e-16
+0 0 1 0 0 25 24 32 -4.44089209850063e-16
+0 0 1 0 0 26 24 32 -4.44089209850063e-16
+0 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -4.44089209850063e-16
+0 0 0 0 0 2 24 32 -4.44089209850063e-16
+0 0 0 0 0 4 24 32 -4.44089209850063e-16
+0 0 0 0 0 6 24 32 -4.44089209850063e-16
+0 0 0 0 0 8 24 32 -4.44089209850063e-16
+0 0 0 0 0 10 24 32 -4.44089209850063e-16
+0 0 0 0 0 12 24 32 -4.44089209850063e-16
+0 0 0 0 0 14 24 32 -4.44089209850063e-16
+0 0 0 0 0 16 24 32 -4.44089209850063e-16
+0 0 0 0 0 18 24 32 -4.44089209850063e-16
+0 0 0 0 0 20 24 32 -4.44089209850063e-16
+0 0 0 0 0 22 24 32 -4.44089209850063e-16
+0 0 0 0 0 24 24 32 -4.44089209850063e-16
+0 0 0 0 0 26 24 32 -4.44089209850063e-16
+0 0 0 0 0 28 24 32 -4.44089209850063e-16
+0 0 0 0 0 30 24 32 -4.44089209850063e-16
+0 0 0 0 0 32 24 32 -4.44089209850063e-16
+0 0 0 0 0 34 24 32 -4.44089209850063e-16
+0 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -4.44089209850063e-16
+1 0 1 0 0 10 24 32 -4.44089209850063e-16
+1 0 1 0 0 11 24 32 -4.44089209850063e-16
+1 0 1 0 0 12 24 32 -4.44089209850063e-16
+1 0 1 0 0 13 24 32 -4.44089209850063e-16
+1 0 1 0 0 14 24 32 -4.44089209850063e-16
+1 0 1 0 0 15 24 32 -4.44089209850063e-16
+1 0 1 0 0 16 24 32 -4.44089209850063e-16
+1 0 1 0 0 17 24 32 -4.44089209850063e-16
+1 0 1 0 0 18 24 32 -4.44089209850063e-16
+1 0 1 0 0 19 24 32 -4.44089209850063e-16
+1 0 1 0 0 20 24 32 -4.44089209850063e-16
+1 0 1 0 0 21 24 32 -4.44089209850063e-16
+1 0 1 0 0 22 24 32 -4.44089209850063e-16
+1 0 1 0 0 23 24 32 -4.44089209850063e-16
+1 0 1 0 0 24 24 32 -4.44089209850063e-16
+1 0 1 0 0 25 24 32 -4.44089209850063e-16
+1 0 1 0 0 26 24 32 -4.44089209850063e-16
+1 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 -4.44089209850063e-16
+2 0 1 0 0 10 24 32 -4.44089209850063e-16
+2 0 1 0 0 11 24 32 -4.44089209850063e-16
+2 0 1 0 0 12 24 32 -4.44089209850063e-16
+2 0 1 0 0 13 24 32 -4.44089209850063e-16
+2 0 1 0 0 14 24 32 -4.44089209850063e-16
+2 0 1 0 0 15 24 32 -4.44089209850063e-16
+2 0 1 0 0 16 24 32 -4.44089209850063e-16
+2 0 1 0 0 17 24 32 -4.44089209850063e-16
+2 0 1 0 0 18 24 32 -4.44089209850063e-16
+2 0 1 0 0 19 24 32 -4.44089209850063e-16
+2 0 1 0 0 20 24 32 -4.44089209850063e-16
+2 0 1 0 0 21 24 32 -4.44089209850063e-16
+2 0 1 0 0 22 24 32 -4.44089209850063e-16
+2 0 1 0 0 23 24 32 -4.44089209850063e-16
+2 0 1 0 0 24 24 32 -4.44089209850063e-16
+2 0 1 0 0 25 24 32 -4.44089209850063e-16
+2 0 1 0 0 26 24 32 -4.44089209850063e-16
+2 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -4.44089209850063e-16
+2 0 0 0 0 2 24 32 -4.44089209850063e-16
+2 0 0 0 0 4 24 32 -4.44089209850063e-16
+2 0 0 0 0 6 24 32 -4.44089209850063e-16
+2 0 0 0 0 8 24 32 -4.44089209850063e-16
+2 0 0 0 0 10 24 32 -4.44089209850063e-16
+2 0 0 0 0 12 24 32 -4.44089209850063e-16
+2 0 0 0 0 14 24 32 -4.44089209850063e-16
+2 0 0 0 0 16 24 32 -4.44089209850063e-16
+2 0 0 0 0 18 24 32 -4.44089209850063e-16
+2 0 0 0 0 20 24 32 -4.44089209850063e-16
+2 0 0 0 0 22 24 32 -4.44089209850063e-16
+2 0 0 0 0 24 24 32 -4.44089209850063e-16
+2 0 0 0 0 26 24 32 -4.44089209850063e-16
+2 0 0 0 0 28 24 32 -4.44089209850063e-16
+2 0 0 0 0 30 24 32 -4.44089209850063e-16
+2 0 0 0 0 32 24 32 -4.44089209850063e-16
+2 0 0 0 0 34 24 32 -4.44089209850063e-16
+2 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 -4.44089209850063e-16
+3 0 1 0 0 10 24 32 -4.44089209850063e-16
+3 0 1 0 0 11 24 32 -4.44089209850063e-16
+3 0 1 0 0 12 24 32 -4.44089209850063e-16
+3 0 1 0 0 13 24 32 -4.44089209850063e-16
+3 0 1 0 0 14 24 32 -4.44089209850063e-16
+3 0 1 0 0 15 24 32 -4.44089209850063e-16
+3 0 1 0 0 16 24 32 -4.44089209850063e-16
+3 0 1 0 0 17 24 32 -4.44089209850063e-16
+3 0 1 0 0 18 24 32 -4.44089209850063e-16
+3 0 1 0 0 19 24 32 -4.44089209850063e-16
+3 0 1 0 0 20 24 32 -4.44089209850063e-16
+3 0 1 0 0 21 24 32 -4.44089209850063e-16
+3 0 1 0 0 22 24 32 -4.44089209850063e-16
+3 0 1 0 0 23 24 32 -4.44089209850063e-16
+3 0 1 0 0 24 24 32 -4.44089209850063e-16
+3 0 1 0 0 25 24 32 -4.44089209850063e-16
+3 0 1 0 0 26 24 32 -4.44089209850063e-16
+3 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 -4.44089209850063e-16
+4 0 1 0 0 10 24 32 -4.44089209850063e-16
+4 0 1 0 0 11 24 32 -4.44089209850063e-16
+4 0 1 0 0 12 24 32 -4.44089209850063e-16
+4 0 1 0 0 13 24 32 -4.44089209850063e-16
+4 0 1 0 0 14 24 32 -4.44089209850063e-16
+4 0 1 0 0 15 24 32 -4.44089209850063e-16
+4 0 1 0 0 16 24 32 -4.44089209850063e-16
+4 0 1 0 0 17 24 32 -4.44089209850063e-16
+4 0 1 0 0 18 24 32 -4.44089209850063e-16
+4 0 1 0 0 19 24 32 -4.44089209850063e-16
+4 0 1 0 0 20 24 32 -4.44089209850063e-16
+4 0 1 0 0 21 24 32 -4.44089209850063e-16
+4 0 1 0 0 22 24 32 -4.44089209850063e-16
+4 0 1 0 0 23 24 32 -4.44089209850063e-16
+4 0 1 0 0 24 24 32 -4.44089209850063e-16
+4 0 1 0 0 25 24 32 -4.44089209850063e-16
+4 0 1 0 0 26 24 32 -4.44089209850063e-16
+4 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -4.44089209850063e-16
+4 0 0 0 0 2 24 32 -4.44089209850063e-16
+4 0 0 0 0 4 24 32 -4.44089209850063e-16
+4 0 0 0 0 6 24 32 -4.44089209850063e-16
+4 0 0 0 0 8 24 32 -4.44089209850063e-16
+4 0 0 0 0 10 24 32 -4.44089209850063e-16
+4 0 0 0 0 12 24 32 -4.44089209850063e-16
+4 0 0 0 0 14 24 32 -4.44089209850063e-16
+4 0 0 0 0 16 24 32 -4.44089209850063e-16
+4 0 0 0 0 18 24 32 -4.44089209850063e-16
+4 0 0 0 0 20 24 32 -4.44089209850063e-16
+4 0 0 0 0 22 24 32 -4.44089209850063e-16
+4 0 0 0 0 24 24 32 -4.44089209850063e-16
+4 0 0 0 0 26 24 32 -4.44089209850063e-16
+4 0 0 0 0 28 24 32 -4.44089209850063e-16
+4 0 0 0 0 30 24 32 -4.44089209850063e-16
+4 0 0 0 0 32 24 32 -4.44089209850063e-16
+4 0 0 0 0 34 24 32 -4.44089209850063e-16
+4 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 -4.44089209850063e-16
+5 0 1 0 0 10 24 32 -4.44089209850063e-16
+5 0 1 0 0 11 24 32 -4.44089209850063e-16
+5 0 1 0 0 12 24 32 -4.44089209850063e-16
+5 0 1 0 0 13 24 32 -4.44089209850063e-16
+5 0 1 0 0 14 24 32 -4.44089209850063e-16
+5 0 1 0 0 15 24 32 -4.44089209850063e-16
+5 0 1 0 0 16 24 32 -4.44089209850063e-16
+5 0 1 0 0 17 24 32 -4.44089209850063e-16
+5 0 1 0 0 18 24 32 -4.44089209850063e-16
+5 0 1 0 0 19 24 32 -4.44089209850063e-16
+5 0 1 0 0 20 24 32 -4.44089209850063e-16
+5 0 1 0 0 21 24 32 -4.44089209850063e-16
+5 0 1 0 0 22 24 32 -4.44089209850063e-16
+5 0 1 0 0 23 24 32 -4.44089209850063e-16
+5 0 1 0 0 24 24 32 -4.44089209850063e-16
+5 0 1 0 0 25 24 32 -4.44089209850063e-16
+5 0 1 0 0 26 24 32 -4.44089209850063e-16
+5 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 -4.44089209850063e-16
+6 0 1 0 0 10 24 32 -4.44089209850063e-16
+6 0 1 0 0 11 24 32 -4.44089209850063e-16
+6 0 1 0 0 12 24 32 -4.44089209850063e-16
+6 0 1 0 0 13 24 32 -4.44089209850063e-16
+6 0 1 0 0 14 24 32 -4.44089209850063e-16
+6 0 1 0 0 15 24 32 -4.44089209850063e-16
+6 0 1 0 0 16 24 32 -4.44089209850063e-16
+6 0 1 0 0 17 24 32 -4.44089209850063e-16
+6 0 1 0 0 18 24 32 -4.44089209850063e-16
+6 0 1 0 0 19 24 32 -4.44089209850063e-16
+6 0 1 0 0 20 24 32 -4.44089209850063e-16
+6 0 1 0 0 21 24 32 -4.44089209850063e-16
+6 0 1 0 0 22 24 32 -4.44089209850063e-16
+6 0 1 0 0 23 24 32 -4.44089209850063e-16
+6 0 1 0 0 24 24 32 -4.44089209850063e-16
+6 0 1 0 0 25 24 32 -4.44089209850063e-16
+6 0 1 0 0 26 24 32 -4.44089209850063e-16
+6 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -4.44089209850063e-16
+6 0 0 0 0 2 24 32 -4.44089209850063e-16
+6 0 0 0 0 4 24 32 -4.44089209850063e-16
+6 0 0 0 0 6 24 32 -4.44089209850063e-16
+6 0 0 0 0 8 24 32 -4.44089209850063e-16
+6 0 0 0 0 10 24 32 -4.44089209850063e-16
+6 0 0 0 0 12 24 32 -4.44089209850063e-16
+6 0 0 0 0 14 24 32 -4.44089209850063e-16
+6 0 0 0 0 16 24 32 -4.44089209850063e-16
+6 0 0 0 0 18 24 32 -4.44089209850063e-16
+6 0 0 0 0 20 24 32 -4.44089209850063e-16
+6 0 0 0 0 22 24 32 -4.44089209850063e-16
+6 0 0 0 0 24 24 32 -4.44089209850063e-16
+6 0 0 0 0 26 24 32 -4.44089209850063e-16
+6 0 0 0 0 28 24 32 -4.44089209850063e-16
+6 0 0 0 0 30 24 32 -4.44089209850063e-16
+6 0 0 0 0 32 24 32 -4.44089209850063e-16
+6 0 0 0 0 34 24 32 -4.44089209850063e-16
+6 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 -4.44089209850063e-16
+7 0 1 0 0 10 24 32 -4.44089209850063e-16
+7 0 1 0 0 11 24 32 -4.44089209850063e-16
+7 0 1 0 0 12 24 32 -4.44089209850063e-16
+7 0 1 0 0 13 24 32 -4.44089209850063e-16
+7 0 1 0 0 14 24 32 -4.44089209850063e-16
+7 0 1 0 0 15 24 32 -4.44089209850063e-16
+7 0 1 0 0 16 24 32 -4.44089209850063e-16
+7 0 1 0 0 17 24 32 -4.44089209850063e-16
+7 0 1 0 0 18 24 32 -4.44089209850063e-16
+7 0 1 0 0 19 24 32 -4.44089209850063e-16
+7 0 1 0 0 20 24 32 -4.44089209850063e-16
+7 0 1 0 0 21 24 32 -4.44089209850063e-16
+7 0 1 0 0 22 24 32 -4.44089209850063e-16
+7 0 1 0 0 23 24 32 -4.44089209850063e-16
+7 0 1 0 0 24 24 32 -4.44089209850063e-16
+7 0 1 0 0 25 24 32 -4.44089209850063e-16
+7 0 1 0 0 26 24 32 -4.44089209850063e-16
+7 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 -4.44089209850063e-16
+8 0 1 0 0 10 24 32 -4.44089209850063e-16
+8 0 1 0 0 11 24 32 -4.44089209850063e-16
+8 0 1 0 0 12 24 32 -4.44089209850063e-16
+8 0 1 0 0 13 24 32 -4.44089209850063e-16
+8 0 1 0 0 14 24 32 -4.44089209850063e-16
+8 0 1 0 0 15 24 32 -4.44089209850063e-16
+8 0 1 0 0 16 24 32 -4.44089209850063e-16
+8 0 1 0 0 17 24 32 -4.44089209850063e-16
+8 0 1 0 0 18 24 32 -4.44089209850063e-16
+8 0 1 0 0 19 24 32 -4.44089209850063e-16
+8 0 1 0 0 20 24 32 -4.44089209850063e-16
+8 0 1 0 0 21 24 32 -4.44089209850063e-16
+8 0 1 0 0 22 24 32 -4.44089209850063e-16
+8 0 1 0 0 23 24 32 -4.44089209850063e-16
+8 0 1 0 0 24 24 32 -4.44089209850063e-16
+8 0 1 0 0 25 24 32 -4.44089209850063e-16
+8 0 1 0 0 26 24 32 -4.44089209850063e-16
+8 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -4.44089209850063e-16
+8 0 0 0 0 2 24 32 -4.44089209850063e-16
+8 0 0 0 0 4 24 32 -4.44089209850063e-16
+8 0 0 0 0 6 24 32 -4.44089209850063e-16
+8 0 0 0 0 8 24 32 -4.44089209850063e-16
+8 0 0 0 0 10 24 32 -4.44089209850063e-16
+8 0 0 0 0 12 24 32 -4.44089209850063e-16
+8 0 0 0 0 14 24 32 -4.44089209850063e-16
+8 0 0 0 0 16 24 32 -4.44089209850063e-16
+8 0 0 0 0 18 24 32 -4.44089209850063e-16
+8 0 0 0 0 20 24 32 -4.44089209850063e-16
+8 0 0 0 0 22 24 32 -4.44089209850063e-16
+8 0 0 0 0 24 24 32 -4.44089209850063e-16
+8 0 0 0 0 26 24 32 -4.44089209850063e-16
+8 0 0 0 0 28 24 32 -4.44089209850063e-16
+8 0 0 0 0 30 24 32 -4.44089209850063e-16
+8 0 0 0 0 32 24 32 -4.44089209850063e-16
+8 0 0 0 0 34 24 32 -4.44089209850063e-16
+8 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 -4.44089209850063e-16
+9 0 1 0 0 10 24 32 -4.44089209850063e-16
+9 0 1 0 0 11 24 32 -4.44089209850063e-16
+9 0 1 0 0 12 24 32 -4.44089209850063e-16
+9 0 1 0 0 13 24 32 -4.44089209850063e-16
+9 0 1 0 0 14 24 32 -4.44089209850063e-16
+9 0 1 0 0 15 24 32 -4.44089209850063e-16
+9 0 1 0 0 16 24 32 -4.44089209850063e-16
+9 0 1 0 0 17 24 32 -4.44089209850063e-16
+9 0 1 0 0 18 24 32 -4.44089209850063e-16
+9 0 1 0 0 19 24 32 -4.44089209850063e-16
+9 0 1 0 0 20 24 32 -4.44089209850063e-16
+9 0 1 0 0 21 24 32 -4.44089209850063e-16
+9 0 1 0 0 22 24 32 -4.44089209850063e-16
+9 0 1 0 0 23 24 32 -4.44089209850063e-16
+9 0 1 0 0 24 24 32 -4.44089209850063e-16
+9 0 1 0 0 25 24 32 -4.44089209850063e-16
+9 0 1 0 0 26 24 32 -4.44089209850063e-16
+9 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 -4.44089209850063e-16
+10 0 1 0 0 10 24 32 -4.44089209850063e-16
+10 0 1 0 0 11 24 32 -4.44089209850063e-16
+10 0 1 0 0 12 24 32 -4.44089209850063e-16
+10 0 1 0 0 13 24 32 -4.44089209850063e-16
+10 0 1 0 0 14 24 32 -4.44089209850063e-16
+10 0 1 0 0 15 24 32 -4.44089209850063e-16
+10 0 1 0 0 16 24 32 -4.44089209850063e-16
+10 0 1 0 0 17 24 32 -4.44089209850063e-16
+10 0 1 0 0 18 24 32 -4.44089209850063e-16
+10 0 1 0 0 19 24 32 -4.44089209850063e-16
+10 0 1 0 0 20 24 32 -4.44089209850063e-16
+10 0 1 0 0 21 24 32 -4.44089209850063e-16
+10 0 1 0 0 22 24 32 -4.44089209850063e-16
+10 0 1 0 0 23 24 32 -4.44089209850063e-16
+10 0 1 0 0 24 24 32 -4.44089209850063e-16
+10 0 1 0 0 25 24 32 -4.44089209850063e-16
+10 0 1 0 0 26 24 32 -4.44089209850063e-16
+10 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -4.44089209850063e-16
+10 0 0 0 0 2 24 32 -4.44089209850063e-16
+10 0 0 0 0 4 24 32 -4.44089209850063e-16
+10 0 0 0 0 6 24 32 -4.44089209850063e-16
+10 0 0 0 0 8 24 32 -4.44089209850063e-16
+10 0 0 0 0 10 24 32 -4.44089209850063e-16
+10 0 0 0 0 12 24 32 -4.44089209850063e-16
+10 0 0 0 0 14 24 32 -4.44089209850063e-16
+10 0 0 0 0 16 24 32 -4.44089209850063e-16
+10 0 0 0 0 18 24 32 -4.44089209850063e-16
+10 0 0 0 0 20 24 32 -4.44089209850063e-16
+10 0 0 0 0 22 24 32 -4.44089209850063e-16
+10 0 0 0 0 24 24 32 -4.44089209850063e-16
+10 0 0 0 0 26 24 32 -4.44089209850063e-16
+10 0 0 0 0 28 24 32 -4.44089209850063e-16
+10 0 0 0 0 30 24 32 -4.44089209850063e-16
+10 0 0 0 0 32 24 32 -4.44089209850063e-16
+10 0 0 0 0 34 24 32 -4.44089209850063e-16
+10 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 -4.44089209850063e-16
+11 0 1 0 0 10 24 32 -4.44089209850063e-16
+11 0 1 0 0 11 24 32 -4.44089209850063e-16
+11 0 1 0 0 12 24 32 -4.44089209850063e-16
+11 0 1 0 0 13 24 32 -4.44089209850063e-16
+11 0 1 0 0 14 24 32 -4.44089209850063e-16
+11 0 1 0 0 15 24 32 -4.44089209850063e-16
+11 0 1 0 0 16 24 32 -4.44089209850063e-16
+11 0 1 0 0 17 24 32 -4.44089209850063e-16
+11 0 1 0 0 18 24 32 -4.44089209850063e-16
+11 0 1 0 0 19 24 32 -4.44089209850063e-16
+11 0 1 0 0 20 24 32 -4.44089209850063e-16
+11 0 1 0 0 21 24 32 -4.44089209850063e-16
+11 0 1 0 0 22 24 32 -4.44089209850063e-16
+11 0 1 0 0 23 24 32 -4.44089209850063e-16
+11 0 1 0 0 24 24 32 -4.44089209850063e-16
+11 0 1 0 0 25 24 32 -4.44089209850063e-16
+11 0 1 0 0 26 24 32 -4.44089209850063e-16
+11 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 -4.44089209850063e-16
+12 0 1 0 0 10 24 32 -4.44089209850063e-16
+12 0 1 0 0 11 24 32 -4.44089209850063e-16
+12 0 1 0 0 12 24 32 -4.44089209850063e-16
+12 0 1 0 0 13 24 32 -4.44089209850063e-16
+12 0 1 0 0 14 24 32 -4.44089209850063e-16
+12 0 1 0 0 15 24 32 -4.44089209850063e-16
+12 0 1 0 0 16 24 32 -4.44089209850063e-16
+12 0 1 0 0 17 24 32 -4.44089209850063e-16
+12 0 1 0 0 18 24 32 -4.44089209850063e-16
+12 0 1 0 0 19 24 32 -4.44089209850063e-16
+12 0 1 0 0 20 24 32 -4.44089209850063e-16
+12 0 1 0 0 21 24 32 -4.44089209850063e-16
+12 0 1 0 0 22 24 32 -4.44089209850063e-16
+12 0 1 0 0 23 24 32 -4.44089209850063e-16
+12 0 1 0 0 24 24 32 -4.44089209850063e-16
+12 0 1 0 0 25 24 32 -4.44089209850063e-16
+12 0 1 0 0 26 24 32 -4.44089209850063e-16
+12 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -4.44089209850063e-16
+12 0 0 0 0 2 24 32 -4.44089209850063e-16
+12 0 0 0 0 4 24 32 -4.44089209850063e-16
+12 0 0 0 0 6 24 32 -4.44089209850063e-16
+12 0 0 0 0 8 24 32 -4.44089209850063e-16
+12 0 0 0 0 10 24 32 -4.44089209850063e-16
+12 0 0 0 0 12 24 32 -4.44089209850063e-16
+12 0 0 0 0 14 24 32 -4.44089209850063e-16
+12 0 0 0 0 16 24 32 -4.44089209850063e-16
+12 0 0 0 0 18 24 32 -4.44089209850063e-16
+12 0 0 0 0 20 24 32 -4.44089209850063e-16
+12 0 0 0 0 22 24 32 -4.44089209850063e-16
+12 0 0 0 0 24 24 32 -4.44089209850063e-16
+12 0 0 0 0 26 24 32 -4.44089209850063e-16
+12 0 0 0 0 28 24 32 -4.44089209850063e-16
+12 0 0 0 0 30 24 32 -4.44089209850063e-16
+12 0 0 0 0 32 24 32 -4.44089209850063e-16
+12 0 0 0 0 34 24 32 -4.44089209850063e-16
+12 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_y.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_y.yl
new file mode 100644
index 000000000..6f89efa80
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_y.yl
@@ -0,0 +1,622 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -3.3
+0 0 1 0 0 18 14 32 -3
+0 0 1 0 0 18 15 32 -2.7
+0 0 1 0 0 18 16 32 -2.4
+0 0 1 0 0 18 17 32 -2.1
+0 0 1 0 0 18 18 32 -1.8
+0 0 1 0 0 18 19 32 -1.5
+0 0 1 0 0 18 20 32 -1.2
+0 0 1 0 0 18 21 32 -0.9
+0 0 1 0 0 18 22 32 -0.6
+0 0 1 0 0 18 23 32 -0.3
+0 0 1 0 0 18 24 32 -4.44089209850063e-16
+0 0 1 0 0 18 25 32 0.3
+0 0 1 0 0 18 26 32 0.6
+0 0 1 0 0 18 27 32 0.899999999999999
+0 0 1 0 0 18 28 32 1.2
+0 0 1 0 0 18 29 32 1.5
+0 0 1 0 0 18 30 32 1.8
+0 0 1 0 0 18 31 32 2.1
+0 0 1 0 0 18 32 32 2.4
+0 0 1 0 0 18 33 32 2.7
+0 0 1 0 0 18 34 32 3
+0 0 1 0 0 18 35 32 3.3
+0 0 1 0 0 18 36 32 3.6
+0 0 1 0 0 18 37 32 3.9
+0 0 1 0 0 18 38 32 4.2
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -7.2
+0 0 0 0 0 18 2 32 -6.6
+0 0 0 0 0 18 4 32 -6
+0 0 0 0 0 18 6 32 -5.4
+0 0 0 0 0 18 8 32 -4.8
+0 0 0 0 0 18 10 32 -4.2
+0 0 0 0 0 18 12 32 -3.6
+0 0 0 0 0 18 14 32 -3
+0 0 0 0 0 18 16 32 -2.4
+0 0 0 0 0 18 18 32 -1.8
+0 0 0 0 0 18 20 32 -1.2
+0 0 0 0 0 18 22 32 -0.6
+0 0 0 0 0 18 24 32 -4.44089209850063e-16
+0 0 0 0 0 18 26 32 0.6
+0 0 0 0 0 18 28 32 1.2
+0 0 0 0 0 18 30 32 1.8
+0 0 0 0 0 18 32 32 2.4
+0 0 0 0 0 18 34 32 3
+0 0 0 0 0 18 36 32 3.6
+0 0 0 0 0 18 38 32 4.2
+0 0 0 0 0 18 40 32 4.8
+0 0 0 0 0 18 42 32 5.4
+0 0 0 0 0 18 44 32 6
+0 0 0 0 0 18 46 32 6.6
+0 0 0 0 0 18 48 32 7.2
+0 0 0 0 0 18 50 32 7.8
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 -3.3
+1 0 1 0 0 18 14 32 -3
+1 0 1 0 0 18 15 32 -2.7
+1 0 1 0 0 18 16 32 -2.4
+1 0 1 0 0 18 17 32 -2.1
+1 0 1 0 0 18 18 32 -1.8
+1 0 1 0 0 18 19 32 -1.5
+1 0 1 0 0 18 20 32 -1.2
+1 0 1 0 0 18 21 32 -0.9
+1 0 1 0 0 18 22 32 -0.6
+1 0 1 0 0 18 23 32 -0.3
+1 0 1 0 0 18 24 32 -4.44089209850063e-16
+1 0 1 0 0 18 25 32 0.3
+1 0 1 0 0 18 26 32 0.6
+1 0 1 0 0 18 27 32 0.899999999999999
+1 0 1 0 0 18 28 32 1.2
+1 0 1 0 0 18 29 32 1.5
+1 0 1 0 0 18 30 32 1.8
+1 0 1 0 0 18 31 32 2.1
+1 0 1 0 0 18 32 32 2.4
+1 0 1 0 0 18 33 32 2.7
+1 0 1 0 0 18 34 32 3
+1 0 1 0 0 18 35 32 3.3
+1 0 1 0 0 18 36 32 3.6
+1 0 1 0 0 18 37 32 3.9
+1 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 -3.3
+2 0 1 0 0 18 14 32 -3
+2 0 1 0 0 18 15 32 -2.7
+2 0 1 0 0 18 16 32 -2.4
+2 0 1 0 0 18 17 32 -2.1
+2 0 1 0 0 18 18 32 -1.8
+2 0 1 0 0 18 19 32 -1.5
+2 0 1 0 0 18 20 32 -1.2
+2 0 1 0 0 18 21 32 -0.9
+2 0 1 0 0 18 22 32 -0.6
+2 0 1 0 0 18 23 32 -0.3
+2 0 1 0 0 18 24 32 -4.44089209850063e-16
+2 0 1 0 0 18 25 32 0.3
+2 0 1 0 0 18 26 32 0.6
+2 0 1 0 0 18 27 32 0.899999999999999
+2 0 1 0 0 18 28 32 1.2
+2 0 1 0 0 18 29 32 1.5
+2 0 1 0 0 18 30 32 1.8
+2 0 1 0 0 18 31 32 2.1
+2 0 1 0 0 18 32 32 2.4
+2 0 1 0 0 18 33 32 2.7
+2 0 1 0 0 18 34 32 3
+2 0 1 0 0 18 35 32 3.3
+2 0 1 0 0 18 36 32 3.6
+2 0 1 0 0 18 37 32 3.9
+2 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 -7.2
+2 0 0 0 0 18 2 32 -6.6
+2 0 0 0 0 18 4 32 -6
+2 0 0 0 0 18 6 32 -5.4
+2 0 0 0 0 18 8 32 -4.8
+2 0 0 0 0 18 10 32 -4.2
+2 0 0 0 0 18 12 32 -3.6
+2 0 0 0 0 18 14 32 -3
+2 0 0 0 0 18 16 32 -2.4
+2 0 0 0 0 18 18 32 -1.8
+2 0 0 0 0 18 20 32 -1.2
+2 0 0 0 0 18 22 32 -0.6
+2 0 0 0 0 18 24 32 -4.44089209850063e-16
+2 0 0 0 0 18 26 32 0.6
+2 0 0 0 0 18 28 32 1.2
+2 0 0 0 0 18 30 32 1.8
+2 0 0 0 0 18 32 32 2.4
+2 0 0 0 0 18 34 32 3
+2 0 0 0 0 18 36 32 3.6
+2 0 0 0 0 18 38 32 4.2
+2 0 0 0 0 18 40 32 4.8
+2 0 0 0 0 18 42 32 5.4
+2 0 0 0 0 18 44 32 6
+2 0 0 0 0 18 46 32 6.6
+2 0 0 0 0 18 48 32 7.2
+2 0 0 0 0 18 50 32 7.8
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 -3.3
+3 0 1 0 0 18 14 32 -3
+3 0 1 0 0 18 15 32 -2.7
+3 0 1 0 0 18 16 32 -2.4
+3 0 1 0 0 18 17 32 -2.1
+3 0 1 0 0 18 18 32 -1.8
+3 0 1 0 0 18 19 32 -1.5
+3 0 1 0 0 18 20 32 -1.2
+3 0 1 0 0 18 21 32 -0.9
+3 0 1 0 0 18 22 32 -0.6
+3 0 1 0 0 18 23 32 -0.3
+3 0 1 0 0 18 24 32 -4.44089209850063e-16
+3 0 1 0 0 18 25 32 0.3
+3 0 1 0 0 18 26 32 0.6
+3 0 1 0 0 18 27 32 0.899999999999999
+3 0 1 0 0 18 28 32 1.2
+3 0 1 0 0 18 29 32 1.5
+3 0 1 0 0 18 30 32 1.8
+3 0 1 0 0 18 31 32 2.1
+3 0 1 0 0 18 32 32 2.4
+3 0 1 0 0 18 33 32 2.7
+3 0 1 0 0 18 34 32 3
+3 0 1 0 0 18 35 32 3.3
+3 0 1 0 0 18 36 32 3.6
+3 0 1 0 0 18 37 32 3.9
+3 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 -3.3
+4 0 1 0 0 18 14 32 -3
+4 0 1 0 0 18 15 32 -2.7
+4 0 1 0 0 18 16 32 -2.4
+4 0 1 0 0 18 17 32 -2.1
+4 0 1 0 0 18 18 32 -1.8
+4 0 1 0 0 18 19 32 -1.5
+4 0 1 0 0 18 20 32 -1.2
+4 0 1 0 0 18 21 32 -0.9
+4 0 1 0 0 18 22 32 -0.6
+4 0 1 0 0 18 23 32 -0.3
+4 0 1 0 0 18 24 32 -4.44089209850063e-16
+4 0 1 0 0 18 25 32 0.3
+4 0 1 0 0 18 26 32 0.6
+4 0 1 0 0 18 27 32 0.899999999999999
+4 0 1 0 0 18 28 32 1.2
+4 0 1 0 0 18 29 32 1.5
+4 0 1 0 0 18 30 32 1.8
+4 0 1 0 0 18 31 32 2.1
+4 0 1 0 0 18 32 32 2.4
+4 0 1 0 0 18 33 32 2.7
+4 0 1 0 0 18 34 32 3
+4 0 1 0 0 18 35 32 3.3
+4 0 1 0 0 18 36 32 3.6
+4 0 1 0 0 18 37 32 3.9
+4 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 -7.2
+4 0 0 0 0 18 2 32 -6.6
+4 0 0 0 0 18 4 32 -6
+4 0 0 0 0 18 6 32 -5.4
+4 0 0 0 0 18 8 32 -4.8
+4 0 0 0 0 18 10 32 -4.2
+4 0 0 0 0 18 12 32 -3.6
+4 0 0 0 0 18 14 32 -3
+4 0 0 0 0 18 16 32 -2.4
+4 0 0 0 0 18 18 32 -1.8
+4 0 0 0 0 18 20 32 -1.2
+4 0 0 0 0 18 22 32 -0.6
+4 0 0 0 0 18 24 32 -4.44089209850063e-16
+4 0 0 0 0 18 26 32 0.6
+4 0 0 0 0 18 28 32 1.2
+4 0 0 0 0 18 30 32 1.8
+4 0 0 0 0 18 32 32 2.4
+4 0 0 0 0 18 34 32 3
+4 0 0 0 0 18 36 32 3.6
+4 0 0 0 0 18 38 32 4.2
+4 0 0 0 0 18 40 32 4.8
+4 0 0 0 0 18 42 32 5.4
+4 0 0 0 0 18 44 32 6
+4 0 0 0 0 18 46 32 6.6
+4 0 0 0 0 18 48 32 7.2
+4 0 0 0 0 18 50 32 7.8
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 -3.3
+5 0 1 0 0 18 14 32 -3
+5 0 1 0 0 18 15 32 -2.7
+5 0 1 0 0 18 16 32 -2.4
+5 0 1 0 0 18 17 32 -2.1
+5 0 1 0 0 18 18 32 -1.8
+5 0 1 0 0 18 19 32 -1.5
+5 0 1 0 0 18 20 32 -1.2
+5 0 1 0 0 18 21 32 -0.9
+5 0 1 0 0 18 22 32 -0.6
+5 0 1 0 0 18 23 32 -0.3
+5 0 1 0 0 18 24 32 -4.44089209850063e-16
+5 0 1 0 0 18 25 32 0.3
+5 0 1 0 0 18 26 32 0.6
+5 0 1 0 0 18 27 32 0.899999999999999
+5 0 1 0 0 18 28 32 1.2
+5 0 1 0 0 18 29 32 1.5
+5 0 1 0 0 18 30 32 1.8
+5 0 1 0 0 18 31 32 2.1
+5 0 1 0 0 18 32 32 2.4
+5 0 1 0 0 18 33 32 2.7
+5 0 1 0 0 18 34 32 3
+5 0 1 0 0 18 35 32 3.3
+5 0 1 0 0 18 36 32 3.6
+5 0 1 0 0 18 37 32 3.9
+5 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 -3.3
+6 0 1 0 0 18 14 32 -3
+6 0 1 0 0 18 15 32 -2.7
+6 0 1 0 0 18 16 32 -2.4
+6 0 1 0 0 18 17 32 -2.1
+6 0 1 0 0 18 18 32 -1.8
+6 0 1 0 0 18 19 32 -1.5
+6 0 1 0 0 18 20 32 -1.2
+6 0 1 0 0 18 21 32 -0.9
+6 0 1 0 0 18 22 32 -0.6
+6 0 1 0 0 18 23 32 -0.3
+6 0 1 0 0 18 24 32 -4.44089209850063e-16
+6 0 1 0 0 18 25 32 0.3
+6 0 1 0 0 18 26 32 0.6
+6 0 1 0 0 18 27 32 0.899999999999999
+6 0 1 0 0 18 28 32 1.2
+6 0 1 0 0 18 29 32 1.5
+6 0 1 0 0 18 30 32 1.8
+6 0 1 0 0 18 31 32 2.1
+6 0 1 0 0 18 32 32 2.4
+6 0 1 0 0 18 33 32 2.7
+6 0 1 0 0 18 34 32 3
+6 0 1 0 0 18 35 32 3.3
+6 0 1 0 0 18 36 32 3.6
+6 0 1 0 0 18 37 32 3.9
+6 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 -7.2
+6 0 0 0 0 18 2 32 -6.6
+6 0 0 0 0 18 4 32 -6
+6 0 0 0 0 18 6 32 -5.4
+6 0 0 0 0 18 8 32 -4.8
+6 0 0 0 0 18 10 32 -4.2
+6 0 0 0 0 18 12 32 -3.6
+6 0 0 0 0 18 14 32 -3
+6 0 0 0 0 18 16 32 -2.4
+6 0 0 0 0 18 18 32 -1.8
+6 0 0 0 0 18 20 32 -1.2
+6 0 0 0 0 18 22 32 -0.6
+6 0 0 0 0 18 24 32 -4.44089209850063e-16
+6 0 0 0 0 18 26 32 0.6
+6 0 0 0 0 18 28 32 1.2
+6 0 0 0 0 18 30 32 1.8
+6 0 0 0 0 18 32 32 2.4
+6 0 0 0 0 18 34 32 3
+6 0 0 0 0 18 36 32 3.6
+6 0 0 0 0 18 38 32 4.2
+6 0 0 0 0 18 40 32 4.8
+6 0 0 0 0 18 42 32 5.4
+6 0 0 0 0 18 44 32 6
+6 0 0 0 0 18 46 32 6.6
+6 0 0 0 0 18 48 32 7.2
+6 0 0 0 0 18 50 32 7.8
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 -3.3
+7 0 1 0 0 18 14 32 -3
+7 0 1 0 0 18 15 32 -2.7
+7 0 1 0 0 18 16 32 -2.4
+7 0 1 0 0 18 17 32 -2.1
+7 0 1 0 0 18 18 32 -1.8
+7 0 1 0 0 18 19 32 -1.5
+7 0 1 0 0 18 20 32 -1.2
+7 0 1 0 0 18 21 32 -0.9
+7 0 1 0 0 18 22 32 -0.6
+7 0 1 0 0 18 23 32 -0.3
+7 0 1 0 0 18 24 32 -4.44089209850063e-16
+7 0 1 0 0 18 25 32 0.3
+7 0 1 0 0 18 26 32 0.6
+7 0 1 0 0 18 27 32 0.899999999999999
+7 0 1 0 0 18 28 32 1.2
+7 0 1 0 0 18 29 32 1.5
+7 0 1 0 0 18 30 32 1.8
+7 0 1 0 0 18 31 32 2.1
+7 0 1 0 0 18 32 32 2.4
+7 0 1 0 0 18 33 32 2.7
+7 0 1 0 0 18 34 32 3
+7 0 1 0 0 18 35 32 3.3
+7 0 1 0 0 18 36 32 3.6
+7 0 1 0 0 18 37 32 3.9
+7 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 -3.3
+8 0 1 0 0 18 14 32 -3
+8 0 1 0 0 18 15 32 -2.7
+8 0 1 0 0 18 16 32 -2.4
+8 0 1 0 0 18 17 32 -2.1
+8 0 1 0 0 18 18 32 -1.8
+8 0 1 0 0 18 19 32 -1.5
+8 0 1 0 0 18 20 32 -1.2
+8 0 1 0 0 18 21 32 -0.9
+8 0 1 0 0 18 22 32 -0.6
+8 0 1 0 0 18 23 32 -0.3
+8 0 1 0 0 18 24 32 -4.44089209850063e-16
+8 0 1 0 0 18 25 32 0.3
+8 0 1 0 0 18 26 32 0.6
+8 0 1 0 0 18 27 32 0.899999999999999
+8 0 1 0 0 18 28 32 1.2
+8 0 1 0 0 18 29 32 1.5
+8 0 1 0 0 18 30 32 1.8
+8 0 1 0 0 18 31 32 2.1
+8 0 1 0 0 18 32 32 2.4
+8 0 1 0 0 18 33 32 2.7
+8 0 1 0 0 18 34 32 3
+8 0 1 0 0 18 35 32 3.3
+8 0 1 0 0 18 36 32 3.6
+8 0 1 0 0 18 37 32 3.9
+8 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -7.2
+8 0 0 0 0 18 2 32 -6.6
+8 0 0 0 0 18 4 32 -6
+8 0 0 0 0 18 6 32 -5.4
+8 0 0 0 0 18 8 32 -4.8
+8 0 0 0 0 18 10 32 -4.2
+8 0 0 0 0 18 12 32 -3.6
+8 0 0 0 0 18 14 32 -3
+8 0 0 0 0 18 16 32 -2.4
+8 0 0 0 0 18 18 32 -1.8
+8 0 0 0 0 18 20 32 -1.2
+8 0 0 0 0 18 22 32 -0.6
+8 0 0 0 0 18 24 32 -4.44089209850063e-16
+8 0 0 0 0 18 26 32 0.6
+8 0 0 0 0 18 28 32 1.2
+8 0 0 0 0 18 30 32 1.8
+8 0 0 0 0 18 32 32 2.4
+8 0 0 0 0 18 34 32 3
+8 0 0 0 0 18 36 32 3.6
+8 0 0 0 0 18 38 32 4.2
+8 0 0 0 0 18 40 32 4.8
+8 0 0 0 0 18 42 32 5.4
+8 0 0 0 0 18 44 32 6
+8 0 0 0 0 18 46 32 6.6
+8 0 0 0 0 18 48 32 7.2
+8 0 0 0 0 18 50 32 7.8
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 -3.3
+9 0 1 0 0 18 14 32 -3
+9 0 1 0 0 18 15 32 -2.7
+9 0 1 0 0 18 16 32 -2.4
+9 0 1 0 0 18 17 32 -2.1
+9 0 1 0 0 18 18 32 -1.8
+9 0 1 0 0 18 19 32 -1.5
+9 0 1 0 0 18 20 32 -1.2
+9 0 1 0 0 18 21 32 -0.9
+9 0 1 0 0 18 22 32 -0.6
+9 0 1 0 0 18 23 32 -0.3
+9 0 1 0 0 18 24 32 -4.44089209850063e-16
+9 0 1 0 0 18 25 32 0.3
+9 0 1 0 0 18 26 32 0.6
+9 0 1 0 0 18 27 32 0.899999999999999
+9 0 1 0 0 18 28 32 1.2
+9 0 1 0 0 18 29 32 1.5
+9 0 1 0 0 18 30 32 1.8
+9 0 1 0 0 18 31 32 2.1
+9 0 1 0 0 18 32 32 2.4
+9 0 1 0 0 18 33 32 2.7
+9 0 1 0 0 18 34 32 3
+9 0 1 0 0 18 35 32 3.3
+9 0 1 0 0 18 36 32 3.6
+9 0 1 0 0 18 37 32 3.9
+9 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 -3.3
+10 0 1 0 0 18 14 32 -3
+10 0 1 0 0 18 15 32 -2.7
+10 0 1 0 0 18 16 32 -2.4
+10 0 1 0 0 18 17 32 -2.1
+10 0 1 0 0 18 18 32 -1.8
+10 0 1 0 0 18 19 32 -1.5
+10 0 1 0 0 18 20 32 -1.2
+10 0 1 0 0 18 21 32 -0.9
+10 0 1 0 0 18 22 32 -0.6
+10 0 1 0 0 18 23 32 -0.3
+10 0 1 0 0 18 24 32 -4.44089209850063e-16
+10 0 1 0 0 18 25 32 0.3
+10 0 1 0 0 18 26 32 0.6
+10 0 1 0 0 18 27 32 0.899999999999999
+10 0 1 0 0 18 28 32 1.2
+10 0 1 0 0 18 29 32 1.5
+10 0 1 0 0 18 30 32 1.8
+10 0 1 0 0 18 31 32 2.1
+10 0 1 0 0 18 32 32 2.4
+10 0 1 0 0 18 33 32 2.7
+10 0 1 0 0 18 34 32 3
+10 0 1 0 0 18 35 32 3.3
+10 0 1 0 0 18 36 32 3.6
+10 0 1 0 0 18 37 32 3.9
+10 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -7.2
+10 0 0 0 0 18 2 32 -6.6
+10 0 0 0 0 18 4 32 -6
+10 0 0 0 0 18 6 32 -5.4
+10 0 0 0 0 18 8 32 -4.8
+10 0 0 0 0 18 10 32 -4.2
+10 0 0 0 0 18 12 32 -3.6
+10 0 0 0 0 18 14 32 -3
+10 0 0 0 0 18 16 32 -2.4
+10 0 0 0 0 18 18 32 -1.8
+10 0 0 0 0 18 20 32 -1.2
+10 0 0 0 0 18 22 32 -0.6
+10 0 0 0 0 18 24 32 -4.44089209850063e-16
+10 0 0 0 0 18 26 32 0.6
+10 0 0 0 0 18 28 32 1.2
+10 0 0 0 0 18 30 32 1.8
+10 0 0 0 0 18 32 32 2.4
+10 0 0 0 0 18 34 32 3
+10 0 0 0 0 18 36 32 3.6
+10 0 0 0 0 18 38 32 4.2
+10 0 0 0 0 18 40 32 4.8
+10 0 0 0 0 18 42 32 5.4
+10 0 0 0 0 18 44 32 6
+10 0 0 0 0 18 46 32 6.6
+10 0 0 0 0 18 48 32 7.2
+10 0 0 0 0 18 50 32 7.8
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 -3.3
+11 0 1 0 0 18 14 32 -3
+11 0 1 0 0 18 15 32 -2.7
+11 0 1 0 0 18 16 32 -2.4
+11 0 1 0 0 18 17 32 -2.1
+11 0 1 0 0 18 18 32 -1.8
+11 0 1 0 0 18 19 32 -1.5
+11 0 1 0 0 18 20 32 -1.2
+11 0 1 0 0 18 21 32 -0.9
+11 0 1 0 0 18 22 32 -0.6
+11 0 1 0 0 18 23 32 -0.3
+11 0 1 0 0 18 24 32 -4.44089209850063e-16
+11 0 1 0 0 18 25 32 0.3
+11 0 1 0 0 18 26 32 0.6
+11 0 1 0 0 18 27 32 0.899999999999999
+11 0 1 0 0 18 28 32 1.2
+11 0 1 0 0 18 29 32 1.5
+11 0 1 0 0 18 30 32 1.8
+11 0 1 0 0 18 31 32 2.1
+11 0 1 0 0 18 32 32 2.4
+11 0 1 0 0 18 33 32 2.7
+11 0 1 0 0 18 34 32 3
+11 0 1 0 0 18 35 32 3.3
+11 0 1 0 0 18 36 32 3.6
+11 0 1 0 0 18 37 32 3.9
+11 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 -3.3
+12 0 1 0 0 18 14 32 -3
+12 0 1 0 0 18 15 32 -2.7
+12 0 1 0 0 18 16 32 -2.4
+12 0 1 0 0 18 17 32 -2.1
+12 0 1 0 0 18 18 32 -1.8
+12 0 1 0 0 18 19 32 -1.5
+12 0 1 0 0 18 20 32 -1.2
+12 0 1 0 0 18 21 32 -0.9
+12 0 1 0 0 18 22 32 -0.6
+12 0 1 0 0 18 23 32 -0.3
+12 0 1 0 0 18 24 32 -4.44089209850063e-16
+12 0 1 0 0 18 25 32 0.3
+12 0 1 0 0 18 26 32 0.6
+12 0 1 0 0 18 27 32 0.899999999999999
+12 0 1 0 0 18 28 32 1.2
+12 0 1 0 0 18 29 32 1.5
+12 0 1 0 0 18 30 32 1.8
+12 0 1 0 0 18 31 32 2.1
+12 0 1 0 0 18 32 32 2.4
+12 0 1 0 0 18 33 32 2.7
+12 0 1 0 0 18 34 32 3
+12 0 1 0 0 18 35 32 3.3
+12 0 1 0 0 18 36 32 3.6
+12 0 1 0 0 18 37 32 3.9
+12 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 -7.2
+12 0 0 0 0 18 2 32 -6.6
+12 0 0 0 0 18 4 32 -6
+12 0 0 0 0 18 6 32 -5.4
+12 0 0 0 0 18 8 32 -4.8
+12 0 0 0 0 18 10 32 -4.2
+12 0 0 0 0 18 12 32 -3.6
+12 0 0 0 0 18 14 32 -3
+12 0 0 0 0 18 16 32 -2.4
+12 0 0 0 0 18 18 32 -1.8
+12 0 0 0 0 18 20 32 -1.2
+12 0 0 0 0 18 22 32 -0.6
+12 0 0 0 0 18 24 32 -4.44089209850063e-16
+12 0 0 0 0 18 26 32 0.6
+12 0 0 0 0 18 28 32 1.2
+12 0 0 0 0 18 30 32 1.8
+12 0 0 0 0 18 32 32 2.4
+12 0 0 0 0 18 34 32 3
+12 0 0 0 0 18 36 32 3.6
+12 0 0 0 0 18 38 32 4.2
+12 0 0 0 0 18 40 32 4.8
+12 0 0 0 0 18 42 32 5.4
+12 0 0 0 0 18 44 32 6
+12 0 0 0 0 18 46 32 6.6
+12 0 0 0 0 18 48 32 7.2
+12 0 0 0 0 18 50 32 7.8
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_y.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_y.zl
new file mode 100644
index 000000000..ef19addd3
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_y.zl
@@ -0,0 +1,782 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -4.44089209850063e-16
+0 0 1 0 0 18 24 18 -4.44089209850063e-16
+0 0 1 0 0 18 24 19 -4.44089209850063e-16
+0 0 1 0 0 18 24 20 -4.44089209850063e-16
+0 0 1 0 0 18 24 21 -4.44089209850063e-16
+0 0 1 0 0 18 24 22 -4.44089209850063e-16
+0 0 1 0 0 18 24 23 -4.44089209850063e-16
+0 0 1 0 0 18 24 24 -4.44089209850063e-16
+0 0 1 0 0 18 24 25 -4.44089209850063e-16
+0 0 1 0 0 18 24 26 -4.44089209850063e-16
+0 0 1 0 0 18 24 27 -4.44089209850063e-16
+0 0 1 0 0 18 24 28 -4.44089209850063e-16
+0 0 1 0 0 18 24 29 -4.44089209850063e-16
+0 0 1 0 0 18 24 30 -4.44089209850063e-16
+0 0 1 0 0 18 24 31 -4.44089209850063e-16
+0 0 1 0 0 18 24 32 -4.44089209850063e-16
+0 0 1 0 0 18 24 33 -4.44089209850063e-16
+0 0 1 0 0 18 24 34 -4.44089209850063e-16
+0 0 1 0 0 18 24 35 -4.44089209850063e-16
+0 0 1 0 0 18 24 36 -4.44089209850063e-16
+0 0 1 0 0 18 24 37 -4.44089209850063e-16
+0 0 1 0 0 18 24 38 -4.44089209850063e-16
+0 0 1 0 0 18 24 39 -4.44089209850063e-16
+0 0 1 0 0 18 24 40 -4.44089209850063e-16
+0 0 1 0 0 18 24 41 -4.44089209850063e-16
+0 0 1 0 0 18 24 42 -4.44089209850063e-16
+0 0 1 0 0 18 24 43 -4.44089209850063e-16
+0 0 1 0 0 18 24 44 -4.44089209850063e-16
+0 0 1 0 0 18 24 45 -4.44089209850063e-16
+0 0 1 0 0 18 24 46 -4.44089209850063e-16
+0 0 1 0 0 18 24 47 -4.44089209850063e-16
+0 0 1 0 0 18 24 48 -4.44089209850063e-16
+0 0 1 0 0 18 24 49 -4.44089209850063e-16
+0 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 -4.44089209850063e-16
+0 0 0 0 0 18 24 2 -4.44089209850063e-16
+0 0 0 0 0 18 24 4 -4.44089209850063e-16
+0 0 0 0 0 18 24 6 -4.44089209850063e-16
+0 0 0 0 0 18 24 8 -4.44089209850063e-16
+0 0 0 0 0 18 24 10 -4.44089209850063e-16
+0 0 0 0 0 18 24 12 -4.44089209850063e-16
+0 0 0 0 0 18 24 14 -4.44089209850063e-16
+0 0 0 0 0 18 24 16 -4.44089209850063e-16
+0 0 0 0 0 18 24 18 -4.44089209850063e-16
+0 0 0 0 0 18 24 20 -4.44089209850063e-16
+0 0 0 0 0 18 24 22 -4.44089209850063e-16
+0 0 0 0 0 18 24 24 -4.44089209850063e-16
+0 0 0 0 0 18 24 26 -4.44089209850063e-16
+0 0 0 0 0 18 24 28 -4.44089209850063e-16
+0 0 0 0 0 18 24 30 -4.44089209850063e-16
+0 0 0 0 0 18 24 32 -4.44089209850063e-16
+0 0 0 0 0 18 24 34 -4.44089209850063e-16
+0 0 0 0 0 18 24 36 -4.44089209850063e-16
+0 0 0 0 0 18 24 38 -4.44089209850063e-16
+0 0 0 0 0 18 24 40 -4.44089209850063e-16
+0 0 0 0 0 18 24 42 -4.44089209850063e-16
+0 0 0 0 0 18 24 44 -4.44089209850063e-16
+0 0 0 0 0 18 24 46 -4.44089209850063e-16
+0 0 0 0 0 18 24 48 -4.44089209850063e-16
+0 0 0 0 0 18 24 50 -4.44089209850063e-16
+0 0 0 0 0 18 24 52 -4.44089209850063e-16
+0 0 0 0 0 18 24 54 -4.44089209850063e-16
+0 0 0 0 0 18 24 56 -4.44089209850063e-16
+0 0 0 0 0 18 24 58 -4.44089209850063e-16
+0 0 0 0 0 18 24 60 -4.44089209850063e-16
+0 0 0 0 0 18 24 62 -4.44089209850063e-16
+0 0 0 0 0 18 24 64 -4.44089209850063e-16
+0 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -4.44089209850063e-16
+1 0 1 0 0 18 24 18 -4.44089209850063e-16
+1 0 1 0 0 18 24 19 -4.44089209850063e-16
+1 0 1 0 0 18 24 20 -4.44089209850063e-16
+1 0 1 0 0 18 24 21 -4.44089209850063e-16
+1 0 1 0 0 18 24 22 -4.44089209850063e-16
+1 0 1 0 0 18 24 23 -4.44089209850063e-16
+1 0 1 0 0 18 24 24 -4.44089209850063e-16
+1 0 1 0 0 18 24 25 -4.44089209850063e-16
+1 0 1 0 0 18 24 26 -4.44089209850063e-16
+1 0 1 0 0 18 24 27 -4.44089209850063e-16
+1 0 1 0 0 18 24 28 -4.44089209850063e-16
+1 0 1 0 0 18 24 29 -4.44089209850063e-16
+1 0 1 0 0 18 24 30 -4.44089209850063e-16
+1 0 1 0 0 18 24 31 -4.44089209850063e-16
+1 0 1 0 0 18 24 32 -4.44089209850063e-16
+1 0 1 0 0 18 24 33 -4.44089209850063e-16
+1 0 1 0 0 18 24 34 -4.44089209850063e-16
+1 0 1 0 0 18 24 35 -4.44089209850063e-16
+1 0 1 0 0 18 24 36 -4.44089209850063e-16
+1 0 1 0 0 18 24 37 -4.44089209850063e-16
+1 0 1 0 0 18 24 38 -4.44089209850063e-16
+1 0 1 0 0 18 24 39 -4.44089209850063e-16
+1 0 1 0 0 18 24 40 -4.44089209850063e-16
+1 0 1 0 0 18 24 41 -4.44089209850063e-16
+1 0 1 0 0 18 24 42 -4.44089209850063e-16
+1 0 1 0 0 18 24 43 -4.44089209850063e-16
+1 0 1 0 0 18 24 44 -4.44089209850063e-16
+1 0 1 0 0 18 24 45 -4.44089209850063e-16
+1 0 1 0 0 18 24 46 -4.44089209850063e-16
+1 0 1 0 0 18 24 47 -4.44089209850063e-16
+1 0 1 0 0 18 24 48 -4.44089209850063e-16
+1 0 1 0 0 18 24 49 -4.44089209850063e-16
+1 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -4.44089209850063e-16
+2 0 1 0 0 18 24 18 -4.44089209850063e-16
+2 0 1 0 0 18 24 19 -4.44089209850063e-16
+2 0 1 0 0 18 24 20 -4.44089209850063e-16
+2 0 1 0 0 18 24 21 -4.44089209850063e-16
+2 0 1 0 0 18 24 22 -4.44089209850063e-16
+2 0 1 0 0 18 24 23 -4.44089209850063e-16
+2 0 1 0 0 18 24 24 -4.44089209850063e-16
+2 0 1 0 0 18 24 25 -4.44089209850063e-16
+2 0 1 0 0 18 24 26 -4.44089209850063e-16
+2 0 1 0 0 18 24 27 -4.44089209850063e-16
+2 0 1 0 0 18 24 28 -4.44089209850063e-16
+2 0 1 0 0 18 24 29 -4.44089209850063e-16
+2 0 1 0 0 18 24 30 -4.44089209850063e-16
+2 0 1 0 0 18 24 31 -4.44089209850063e-16
+2 0 1 0 0 18 24 32 -4.44089209850063e-16
+2 0 1 0 0 18 24 33 -4.44089209850063e-16
+2 0 1 0 0 18 24 34 -4.44089209850063e-16
+2 0 1 0 0 18 24 35 -4.44089209850063e-16
+2 0 1 0 0 18 24 36 -4.44089209850063e-16
+2 0 1 0 0 18 24 37 -4.44089209850063e-16
+2 0 1 0 0 18 24 38 -4.44089209850063e-16
+2 0 1 0 0 18 24 39 -4.44089209850063e-16
+2 0 1 0 0 18 24 40 -4.44089209850063e-16
+2 0 1 0 0 18 24 41 -4.44089209850063e-16
+2 0 1 0 0 18 24 42 -4.44089209850063e-16
+2 0 1 0 0 18 24 43 -4.44089209850063e-16
+2 0 1 0 0 18 24 44 -4.44089209850063e-16
+2 0 1 0 0 18 24 45 -4.44089209850063e-16
+2 0 1 0 0 18 24 46 -4.44089209850063e-16
+2 0 1 0 0 18 24 47 -4.44089209850063e-16
+2 0 1 0 0 18 24 48 -4.44089209850063e-16
+2 0 1 0 0 18 24 49 -4.44089209850063e-16
+2 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 -4.44089209850063e-16
+2 0 0 0 0 18 24 2 -4.44089209850063e-16
+2 0 0 0 0 18 24 4 -4.44089209850063e-16
+2 0 0 0 0 18 24 6 -4.44089209850063e-16
+2 0 0 0 0 18 24 8 -4.44089209850063e-16
+2 0 0 0 0 18 24 10 -4.44089209850063e-16
+2 0 0 0 0 18 24 12 -4.44089209850063e-16
+2 0 0 0 0 18 24 14 -4.44089209850063e-16
+2 0 0 0 0 18 24 16 -4.44089209850063e-16
+2 0 0 0 0 18 24 18 -4.44089209850063e-16
+2 0 0 0 0 18 24 20 -4.44089209850063e-16
+2 0 0 0 0 18 24 22 -4.44089209850063e-16
+2 0 0 0 0 18 24 24 -4.44089209850063e-16
+2 0 0 0 0 18 24 26 -4.44089209850063e-16
+2 0 0 0 0 18 24 28 -4.44089209850063e-16
+2 0 0 0 0 18 24 30 -4.44089209850063e-16
+2 0 0 0 0 18 24 32 -4.44089209850063e-16
+2 0 0 0 0 18 24 34 -4.44089209850063e-16
+2 0 0 0 0 18 24 36 -4.44089209850063e-16
+2 0 0 0 0 18 24 38 -4.44089209850063e-16
+2 0 0 0 0 18 24 40 -4.44089209850063e-16
+2 0 0 0 0 18 24 42 -4.44089209850063e-16
+2 0 0 0 0 18 24 44 -4.44089209850063e-16
+2 0 0 0 0 18 24 46 -4.44089209850063e-16
+2 0 0 0 0 18 24 48 -4.44089209850063e-16
+2 0 0 0 0 18 24 50 -4.44089209850063e-16
+2 0 0 0 0 18 24 52 -4.44089209850063e-16
+2 0 0 0 0 18 24 54 -4.44089209850063e-16
+2 0 0 0 0 18 24 56 -4.44089209850063e-16
+2 0 0 0 0 18 24 58 -4.44089209850063e-16
+2 0 0 0 0 18 24 60 -4.44089209850063e-16
+2 0 0 0 0 18 24 62 -4.44089209850063e-16
+2 0 0 0 0 18 24 64 -4.44089209850063e-16
+2 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -4.44089209850063e-16
+3 0 1 0 0 18 24 18 -4.44089209850063e-16
+3 0 1 0 0 18 24 19 -4.44089209850063e-16
+3 0 1 0 0 18 24 20 -4.44089209850063e-16
+3 0 1 0 0 18 24 21 -4.44089209850063e-16
+3 0 1 0 0 18 24 22 -4.44089209850063e-16
+3 0 1 0 0 18 24 23 -4.44089209850063e-16
+3 0 1 0 0 18 24 24 -4.44089209850063e-16
+3 0 1 0 0 18 24 25 -4.44089209850063e-16
+3 0 1 0 0 18 24 26 -4.44089209850063e-16
+3 0 1 0 0 18 24 27 -4.44089209850063e-16
+3 0 1 0 0 18 24 28 -4.44089209850063e-16
+3 0 1 0 0 18 24 29 -4.44089209850063e-16
+3 0 1 0 0 18 24 30 -4.44089209850063e-16
+3 0 1 0 0 18 24 31 -4.44089209850063e-16
+3 0 1 0 0 18 24 32 -4.44089209850063e-16
+3 0 1 0 0 18 24 33 -4.44089209850063e-16
+3 0 1 0 0 18 24 34 -4.44089209850063e-16
+3 0 1 0 0 18 24 35 -4.44089209850063e-16
+3 0 1 0 0 18 24 36 -4.44089209850063e-16
+3 0 1 0 0 18 24 37 -4.44089209850063e-16
+3 0 1 0 0 18 24 38 -4.44089209850063e-16
+3 0 1 0 0 18 24 39 -4.44089209850063e-16
+3 0 1 0 0 18 24 40 -4.44089209850063e-16
+3 0 1 0 0 18 24 41 -4.44089209850063e-16
+3 0 1 0 0 18 24 42 -4.44089209850063e-16
+3 0 1 0 0 18 24 43 -4.44089209850063e-16
+3 0 1 0 0 18 24 44 -4.44089209850063e-16
+3 0 1 0 0 18 24 45 -4.44089209850063e-16
+3 0 1 0 0 18 24 46 -4.44089209850063e-16
+3 0 1 0 0 18 24 47 -4.44089209850063e-16
+3 0 1 0 0 18 24 48 -4.44089209850063e-16
+3 0 1 0 0 18 24 49 -4.44089209850063e-16
+3 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -4.44089209850063e-16
+4 0 1 0 0 18 24 18 -4.44089209850063e-16
+4 0 1 0 0 18 24 19 -4.44089209850063e-16
+4 0 1 0 0 18 24 20 -4.44089209850063e-16
+4 0 1 0 0 18 24 21 -4.44089209850063e-16
+4 0 1 0 0 18 24 22 -4.44089209850063e-16
+4 0 1 0 0 18 24 23 -4.44089209850063e-16
+4 0 1 0 0 18 24 24 -4.44089209850063e-16
+4 0 1 0 0 18 24 25 -4.44089209850063e-16
+4 0 1 0 0 18 24 26 -4.44089209850063e-16
+4 0 1 0 0 18 24 27 -4.44089209850063e-16
+4 0 1 0 0 18 24 28 -4.44089209850063e-16
+4 0 1 0 0 18 24 29 -4.44089209850063e-16
+4 0 1 0 0 18 24 30 -4.44089209850063e-16
+4 0 1 0 0 18 24 31 -4.44089209850063e-16
+4 0 1 0 0 18 24 32 -4.44089209850063e-16
+4 0 1 0 0 18 24 33 -4.44089209850063e-16
+4 0 1 0 0 18 24 34 -4.44089209850063e-16
+4 0 1 0 0 18 24 35 -4.44089209850063e-16
+4 0 1 0 0 18 24 36 -4.44089209850063e-16
+4 0 1 0 0 18 24 37 -4.44089209850063e-16
+4 0 1 0 0 18 24 38 -4.44089209850063e-16
+4 0 1 0 0 18 24 39 -4.44089209850063e-16
+4 0 1 0 0 18 24 40 -4.44089209850063e-16
+4 0 1 0 0 18 24 41 -4.44089209850063e-16
+4 0 1 0 0 18 24 42 -4.44089209850063e-16
+4 0 1 0 0 18 24 43 -4.44089209850063e-16
+4 0 1 0 0 18 24 44 -4.44089209850063e-16
+4 0 1 0 0 18 24 45 -4.44089209850063e-16
+4 0 1 0 0 18 24 46 -4.44089209850063e-16
+4 0 1 0 0 18 24 47 -4.44089209850063e-16
+4 0 1 0 0 18 24 48 -4.44089209850063e-16
+4 0 1 0 0 18 24 49 -4.44089209850063e-16
+4 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 -4.44089209850063e-16
+4 0 0 0 0 18 24 2 -4.44089209850063e-16
+4 0 0 0 0 18 24 4 -4.44089209850063e-16
+4 0 0 0 0 18 24 6 -4.44089209850063e-16
+4 0 0 0 0 18 24 8 -4.44089209850063e-16
+4 0 0 0 0 18 24 10 -4.44089209850063e-16
+4 0 0 0 0 18 24 12 -4.44089209850063e-16
+4 0 0 0 0 18 24 14 -4.44089209850063e-16
+4 0 0 0 0 18 24 16 -4.44089209850063e-16
+4 0 0 0 0 18 24 18 -4.44089209850063e-16
+4 0 0 0 0 18 24 20 -4.44089209850063e-16
+4 0 0 0 0 18 24 22 -4.44089209850063e-16
+4 0 0 0 0 18 24 24 -4.44089209850063e-16
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+4 0 0 0 0 18 24 64 -4.44089209850063e-16
+4 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -4.44089209850063e-16
+5 0 1 0 0 18 24 18 -4.44089209850063e-16
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+5 0 1 0 0 18 24 49 -4.44089209850063e-16
+5 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -4.44089209850063e-16
+6 0 1 0 0 18 24 18 -4.44089209850063e-16
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+6 0 1 0 0 18 24 49 -4.44089209850063e-16
+6 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 -4.44089209850063e-16
+6 0 0 0 0 18 24 2 -4.44089209850063e-16
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+6 0 0 0 0 18 24 64 -4.44089209850063e-16
+6 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -4.44089209850063e-16
+7 0 1 0 0 18 24 18 -4.44089209850063e-16
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+7 0 1 0 0 18 24 49 -4.44089209850063e-16
+7 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -4.44089209850063e-16
+8 0 1 0 0 18 24 18 -4.44089209850063e-16
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+8 0 1 0 0 18 24 49 -4.44089209850063e-16
+8 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 -4.44089209850063e-16
+8 0 0 0 0 18 24 2 -4.44089209850063e-16
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+8 0 0 0 0 18 24 64 -4.44089209850063e-16
+8 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -4.44089209850063e-16
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+9 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 -4.44089209850063e-16
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+10 0 1 0 0 18 24 49 -4.44089209850063e-16
+10 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 -4.44089209850063e-16
+10 0 0 0 0 18 24 2 -4.44089209850063e-16
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+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 -4.44089209850063e-16
+11 0 1 0 0 18 24 18 -4.44089209850063e-16
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+11 0 1 0 0 18 24 21 -4.44089209850063e-16
+11 0 1 0 0 18 24 22 -4.44089209850063e-16
+11 0 1 0 0 18 24 23 -4.44089209850063e-16
+11 0 1 0 0 18 24 24 -4.44089209850063e-16
+11 0 1 0 0 18 24 25 -4.44089209850063e-16
+11 0 1 0 0 18 24 26 -4.44089209850063e-16
+11 0 1 0 0 18 24 27 -4.44089209850063e-16
+11 0 1 0 0 18 24 28 -4.44089209850063e-16
+11 0 1 0 0 18 24 29 -4.44089209850063e-16
+11 0 1 0 0 18 24 30 -4.44089209850063e-16
+11 0 1 0 0 18 24 31 -4.44089209850063e-16
+11 0 1 0 0 18 24 32 -4.44089209850063e-16
+11 0 1 0 0 18 24 33 -4.44089209850063e-16
+11 0 1 0 0 18 24 34 -4.44089209850063e-16
+11 0 1 0 0 18 24 35 -4.44089209850063e-16
+11 0 1 0 0 18 24 36 -4.44089209850063e-16
+11 0 1 0 0 18 24 37 -4.44089209850063e-16
+11 0 1 0 0 18 24 38 -4.44089209850063e-16
+11 0 1 0 0 18 24 39 -4.44089209850063e-16
+11 0 1 0 0 18 24 40 -4.44089209850063e-16
+11 0 1 0 0 18 24 41 -4.44089209850063e-16
+11 0 1 0 0 18 24 42 -4.44089209850063e-16
+11 0 1 0 0 18 24 43 -4.44089209850063e-16
+11 0 1 0 0 18 24 44 -4.44089209850063e-16
+11 0 1 0 0 18 24 45 -4.44089209850063e-16
+11 0 1 0 0 18 24 46 -4.44089209850063e-16
+11 0 1 0 0 18 24 47 -4.44089209850063e-16
+11 0 1 0 0 18 24 48 -4.44089209850063e-16
+11 0 1 0 0 18 24 49 -4.44089209850063e-16
+11 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 -4.44089209850063e-16
+12 0 1 0 0 18 24 18 -4.44089209850063e-16
+12 0 1 0 0 18 24 19 -4.44089209850063e-16
+12 0 1 0 0 18 24 20 -4.44089209850063e-16
+12 0 1 0 0 18 24 21 -4.44089209850063e-16
+12 0 1 0 0 18 24 22 -4.44089209850063e-16
+12 0 1 0 0 18 24 23 -4.44089209850063e-16
+12 0 1 0 0 18 24 24 -4.44089209850063e-16
+12 0 1 0 0 18 24 25 -4.44089209850063e-16
+12 0 1 0 0 18 24 26 -4.44089209850063e-16
+12 0 1 0 0 18 24 27 -4.44089209850063e-16
+12 0 1 0 0 18 24 28 -4.44089209850063e-16
+12 0 1 0 0 18 24 29 -4.44089209850063e-16
+12 0 1 0 0 18 24 30 -4.44089209850063e-16
+12 0 1 0 0 18 24 31 -4.44089209850063e-16
+12 0 1 0 0 18 24 32 -4.44089209850063e-16
+12 0 1 0 0 18 24 33 -4.44089209850063e-16
+12 0 1 0 0 18 24 34 -4.44089209850063e-16
+12 0 1 0 0 18 24 35 -4.44089209850063e-16
+12 0 1 0 0 18 24 36 -4.44089209850063e-16
+12 0 1 0 0 18 24 37 -4.44089209850063e-16
+12 0 1 0 0 18 24 38 -4.44089209850063e-16
+12 0 1 0 0 18 24 39 -4.44089209850063e-16
+12 0 1 0 0 18 24 40 -4.44089209850063e-16
+12 0 1 0 0 18 24 41 -4.44089209850063e-16
+12 0 1 0 0 18 24 42 -4.44089209850063e-16
+12 0 1 0 0 18 24 43 -4.44089209850063e-16
+12 0 1 0 0 18 24 44 -4.44089209850063e-16
+12 0 1 0 0 18 24 45 -4.44089209850063e-16
+12 0 1 0 0 18 24 46 -4.44089209850063e-16
+12 0 1 0 0 18 24 47 -4.44089209850063e-16
+12 0 1 0 0 18 24 48 -4.44089209850063e-16
+12 0 1 0 0 18 24 49 -4.44089209850063e-16
+12 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 -4.44089209850063e-16
+12 0 0 0 0 18 24 2 -4.44089209850063e-16
+12 0 0 0 0 18 24 4 -4.44089209850063e-16
+12 0 0 0 0 18 24 6 -4.44089209850063e-16
+12 0 0 0 0 18 24 8 -4.44089209850063e-16
+12 0 0 0 0 18 24 10 -4.44089209850063e-16
+12 0 0 0 0 18 24 12 -4.44089209850063e-16
+12 0 0 0 0 18 24 14 -4.44089209850063e-16
+12 0 0 0 0 18 24 16 -4.44089209850063e-16
+12 0 0 0 0 18 24 18 -4.44089209850063e-16
+12 0 0 0 0 18 24 20 -4.44089209850063e-16
+12 0 0 0 0 18 24 22 -4.44089209850063e-16
+12 0 0 0 0 18 24 24 -4.44089209850063e-16
+12 0 0 0 0 18 24 26 -4.44089209850063e-16
+12 0 0 0 0 18 24 28 -4.44089209850063e-16
+12 0 0 0 0 18 24 30 -4.44089209850063e-16
+12 0 0 0 0 18 24 32 -4.44089209850063e-16
+12 0 0 0 0 18 24 34 -4.44089209850063e-16
+12 0 0 0 0 18 24 36 -4.44089209850063e-16
+12 0 0 0 0 18 24 38 -4.44089209850063e-16
+12 0 0 0 0 18 24 40 -4.44089209850063e-16
+12 0 0 0 0 18 24 42 -4.44089209850063e-16
+12 0 0 0 0 18 24 44 -4.44089209850063e-16
+12 0 0 0 0 18 24 46 -4.44089209850063e-16
+12 0 0 0 0 18 24 48 -4.44089209850063e-16
+12 0 0 0 0 18 24 50 -4.44089209850063e-16
+12 0 0 0 0 18 24 52 -4.44089209850063e-16
+12 0 0 0 0 18 24 54 -4.44089209850063e-16
+12 0 0 0 0 18 24 56 -4.44089209850063e-16
+12 0 0 0 0 18 24 58 -4.44089209850063e-16
+12 0 0 0 0 18 24 60 -4.44089209850063e-16
+12 0 0 0 0 18 24 62 -4.44089209850063e-16
+12 0 0 0 0 18 24 64 -4.44089209850063e-16
+12 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_z.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_z.xl
new file mode 100644
index 000000000..fa9b8b7a7
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_z.xl
@@ -0,0 +1,482 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 0
+0 0 1 0 0 10 24 32 0
+0 0 1 0 0 11 24 32 0
+0 0 1 0 0 12 24 32 0
+0 0 1 0 0 13 24 32 0
+0 0 1 0 0 14 24 32 0
+0 0 1 0 0 15 24 32 0
+0 0 1 0 0 16 24 32 0
+0 0 1 0 0 17 24 32 0
+0 0 1 0 0 18 24 32 0
+0 0 1 0 0 19 24 32 0
+0 0 1 0 0 20 24 32 0
+0 0 1 0 0 21 24 32 0
+0 0 1 0 0 22 24 32 0
+0 0 1 0 0 23 24 32 0
+0 0 1 0 0 24 24 32 0
+0 0 1 0 0 25 24 32 0
+0 0 1 0 0 26 24 32 0
+0 0 1 0 0 27 24 32 0
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 0
+0 0 0 0 0 2 24 32 0
+0 0 0 0 0 4 24 32 0
+0 0 0 0 0 6 24 32 0
+0 0 0 0 0 8 24 32 0
+0 0 0 0 0 10 24 32 0
+0 0 0 0 0 12 24 32 0
+0 0 0 0 0 14 24 32 0
+0 0 0 0 0 16 24 32 0
+0 0 0 0 0 18 24 32 0
+0 0 0 0 0 20 24 32 0
+0 0 0 0 0 22 24 32 0
+0 0 0 0 0 24 24 32 0
+0 0 0 0 0 26 24 32 0
+0 0 0 0 0 28 24 32 0
+0 0 0 0 0 30 24 32 0
+0 0 0 0 0 32 24 32 0
+0 0 0 0 0 34 24 32 0
+0 0 0 0 0 36 24 32 0
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 0
+1 0 1 0 0 10 24 32 0
+1 0 1 0 0 11 24 32 0
+1 0 1 0 0 12 24 32 0
+1 0 1 0 0 13 24 32 0
+1 0 1 0 0 14 24 32 0
+1 0 1 0 0 15 24 32 0
+1 0 1 0 0 16 24 32 0
+1 0 1 0 0 17 24 32 0
+1 0 1 0 0 18 24 32 0
+1 0 1 0 0 19 24 32 0
+1 0 1 0 0 20 24 32 0
+1 0 1 0 0 21 24 32 0
+1 0 1 0 0 22 24 32 0
+1 0 1 0 0 23 24 32 0
+1 0 1 0 0 24 24 32 0
+1 0 1 0 0 25 24 32 0
+1 0 1 0 0 26 24 32 0
+1 0 1 0 0 27 24 32 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0
+2 0 1 0 0 10 24 32 0
+2 0 1 0 0 11 24 32 0
+2 0 1 0 0 12 24 32 0
+2 0 1 0 0 13 24 32 0
+2 0 1 0 0 14 24 32 0
+2 0 1 0 0 15 24 32 0
+2 0 1 0 0 16 24 32 0
+2 0 1 0 0 17 24 32 0
+2 0 1 0 0 18 24 32 0
+2 0 1 0 0 19 24 32 0
+2 0 1 0 0 20 24 32 0
+2 0 1 0 0 21 24 32 0
+2 0 1 0 0 22 24 32 0
+2 0 1 0 0 23 24 32 0
+2 0 1 0 0 24 24 32 0
+2 0 1 0 0 25 24 32 0
+2 0 1 0 0 26 24 32 0
+2 0 1 0 0 27 24 32 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 0
+2 0 0 0 0 2 24 32 0
+2 0 0 0 0 4 24 32 0
+2 0 0 0 0 6 24 32 0
+2 0 0 0 0 8 24 32 0
+2 0 0 0 0 10 24 32 0
+2 0 0 0 0 12 24 32 0
+2 0 0 0 0 14 24 32 0
+2 0 0 0 0 16 24 32 0
+2 0 0 0 0 18 24 32 0
+2 0 0 0 0 20 24 32 0
+2 0 0 0 0 22 24 32 0
+2 0 0 0 0 24 24 32 0
+2 0 0 0 0 26 24 32 0
+2 0 0 0 0 28 24 32 0
+2 0 0 0 0 30 24 32 0
+2 0 0 0 0 32 24 32 0
+2 0 0 0 0 34 24 32 0
+2 0 0 0 0 36 24 32 0
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0
+3 0 1 0 0 10 24 32 0
+3 0 1 0 0 11 24 32 0
+3 0 1 0 0 12 24 32 0
+3 0 1 0 0 13 24 32 0
+3 0 1 0 0 14 24 32 0
+3 0 1 0 0 15 24 32 0
+3 0 1 0 0 16 24 32 0
+3 0 1 0 0 17 24 32 0
+3 0 1 0 0 18 24 32 0
+3 0 1 0 0 19 24 32 0
+3 0 1 0 0 20 24 32 0
+3 0 1 0 0 21 24 32 0
+3 0 1 0 0 22 24 32 0
+3 0 1 0 0 23 24 32 0
+3 0 1 0 0 24 24 32 0
+3 0 1 0 0 25 24 32 0
+3 0 1 0 0 26 24 32 0
+3 0 1 0 0 27 24 32 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0
+4 0 1 0 0 10 24 32 0
+4 0 1 0 0 11 24 32 0
+4 0 1 0 0 12 24 32 0
+4 0 1 0 0 13 24 32 0
+4 0 1 0 0 14 24 32 0
+4 0 1 0 0 15 24 32 0
+4 0 1 0 0 16 24 32 0
+4 0 1 0 0 17 24 32 0
+4 0 1 0 0 18 24 32 0
+4 0 1 0 0 19 24 32 0
+4 0 1 0 0 20 24 32 0
+4 0 1 0 0 21 24 32 0
+4 0 1 0 0 22 24 32 0
+4 0 1 0 0 23 24 32 0
+4 0 1 0 0 24 24 32 0
+4 0 1 0 0 25 24 32 0
+4 0 1 0 0 26 24 32 0
+4 0 1 0 0 27 24 32 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 0
+4 0 0 0 0 2 24 32 0
+4 0 0 0 0 4 24 32 0
+4 0 0 0 0 6 24 32 0
+4 0 0 0 0 8 24 32 0
+4 0 0 0 0 10 24 32 0
+4 0 0 0 0 12 24 32 0
+4 0 0 0 0 14 24 32 0
+4 0 0 0 0 16 24 32 0
+4 0 0 0 0 18 24 32 0
+4 0 0 0 0 20 24 32 0
+4 0 0 0 0 22 24 32 0
+4 0 0 0 0 24 24 32 0
+4 0 0 0 0 26 24 32 0
+4 0 0 0 0 28 24 32 0
+4 0 0 0 0 30 24 32 0
+4 0 0 0 0 32 24 32 0
+4 0 0 0 0 34 24 32 0
+4 0 0 0 0 36 24 32 0
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0
+5 0 1 0 0 10 24 32 0
+5 0 1 0 0 11 24 32 0
+5 0 1 0 0 12 24 32 0
+5 0 1 0 0 13 24 32 0
+5 0 1 0 0 14 24 32 0
+5 0 1 0 0 15 24 32 0
+5 0 1 0 0 16 24 32 0
+5 0 1 0 0 17 24 32 0
+5 0 1 0 0 18 24 32 0
+5 0 1 0 0 19 24 32 0
+5 0 1 0 0 20 24 32 0
+5 0 1 0 0 21 24 32 0
+5 0 1 0 0 22 24 32 0
+5 0 1 0 0 23 24 32 0
+5 0 1 0 0 24 24 32 0
+5 0 1 0 0 25 24 32 0
+5 0 1 0 0 26 24 32 0
+5 0 1 0 0 27 24 32 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0
+6 0 1 0 0 10 24 32 0
+6 0 1 0 0 11 24 32 0
+6 0 1 0 0 12 24 32 0
+6 0 1 0 0 13 24 32 0
+6 0 1 0 0 14 24 32 0
+6 0 1 0 0 15 24 32 0
+6 0 1 0 0 16 24 32 0
+6 0 1 0 0 17 24 32 0
+6 0 1 0 0 18 24 32 0
+6 0 1 0 0 19 24 32 0
+6 0 1 0 0 20 24 32 0
+6 0 1 0 0 21 24 32 0
+6 0 1 0 0 22 24 32 0
+6 0 1 0 0 23 24 32 0
+6 0 1 0 0 24 24 32 0
+6 0 1 0 0 25 24 32 0
+6 0 1 0 0 26 24 32 0
+6 0 1 0 0 27 24 32 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 0
+6 0 0 0 0 2 24 32 0
+6 0 0 0 0 4 24 32 0
+6 0 0 0 0 6 24 32 0
+6 0 0 0 0 8 24 32 0
+6 0 0 0 0 10 24 32 0
+6 0 0 0 0 12 24 32 0
+6 0 0 0 0 14 24 32 0
+6 0 0 0 0 16 24 32 0
+6 0 0 0 0 18 24 32 0
+6 0 0 0 0 20 24 32 0
+6 0 0 0 0 22 24 32 0
+6 0 0 0 0 24 24 32 0
+6 0 0 0 0 26 24 32 0
+6 0 0 0 0 28 24 32 0
+6 0 0 0 0 30 24 32 0
+6 0 0 0 0 32 24 32 0
+6 0 0 0 0 34 24 32 0
+6 0 0 0 0 36 24 32 0
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0
+7 0 1 0 0 10 24 32 0
+7 0 1 0 0 11 24 32 0
+7 0 1 0 0 12 24 32 0
+7 0 1 0 0 13 24 32 0
+7 0 1 0 0 14 24 32 0
+7 0 1 0 0 15 24 32 0
+7 0 1 0 0 16 24 32 0
+7 0 1 0 0 17 24 32 0
+7 0 1 0 0 18 24 32 0
+7 0 1 0 0 19 24 32 0
+7 0 1 0 0 20 24 32 0
+7 0 1 0 0 21 24 32 0
+7 0 1 0 0 22 24 32 0
+7 0 1 0 0 23 24 32 0
+7 0 1 0 0 24 24 32 0
+7 0 1 0 0 25 24 32 0
+7 0 1 0 0 26 24 32 0
+7 0 1 0 0 27 24 32 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0
+8 0 1 0 0 10 24 32 0
+8 0 1 0 0 11 24 32 0
+8 0 1 0 0 12 24 32 0
+8 0 1 0 0 13 24 32 0
+8 0 1 0 0 14 24 32 0
+8 0 1 0 0 15 24 32 0
+8 0 1 0 0 16 24 32 0
+8 0 1 0 0 17 24 32 0
+8 0 1 0 0 18 24 32 0
+8 0 1 0 0 19 24 32 0
+8 0 1 0 0 20 24 32 0
+8 0 1 0 0 21 24 32 0
+8 0 1 0 0 22 24 32 0
+8 0 1 0 0 23 24 32 0
+8 0 1 0 0 24 24 32 0
+8 0 1 0 0 25 24 32 0
+8 0 1 0 0 26 24 32 0
+8 0 1 0 0 27 24 32 0
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 0
+8 0 0 0 0 2 24 32 0
+8 0 0 0 0 4 24 32 0
+8 0 0 0 0 6 24 32 0
+8 0 0 0 0 8 24 32 0
+8 0 0 0 0 10 24 32 0
+8 0 0 0 0 12 24 32 0
+8 0 0 0 0 14 24 32 0
+8 0 0 0 0 16 24 32 0
+8 0 0 0 0 18 24 32 0
+8 0 0 0 0 20 24 32 0
+8 0 0 0 0 22 24 32 0
+8 0 0 0 0 24 24 32 0
+8 0 0 0 0 26 24 32 0
+8 0 0 0 0 28 24 32 0
+8 0 0 0 0 30 24 32 0
+8 0 0 0 0 32 24 32 0
+8 0 0 0 0 34 24 32 0
+8 0 0 0 0 36 24 32 0
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0
+9 0 1 0 0 10 24 32 0
+9 0 1 0 0 11 24 32 0
+9 0 1 0 0 12 24 32 0
+9 0 1 0 0 13 24 32 0
+9 0 1 0 0 14 24 32 0
+9 0 1 0 0 15 24 32 0
+9 0 1 0 0 16 24 32 0
+9 0 1 0 0 17 24 32 0
+9 0 1 0 0 18 24 32 0
+9 0 1 0 0 19 24 32 0
+9 0 1 0 0 20 24 32 0
+9 0 1 0 0 21 24 32 0
+9 0 1 0 0 22 24 32 0
+9 0 1 0 0 23 24 32 0
+9 0 1 0 0 24 24 32 0
+9 0 1 0 0 25 24 32 0
+9 0 1 0 0 26 24 32 0
+9 0 1 0 0 27 24 32 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0
+10 0 1 0 0 10 24 32 0
+10 0 1 0 0 11 24 32 0
+10 0 1 0 0 12 24 32 0
+10 0 1 0 0 13 24 32 0
+10 0 1 0 0 14 24 32 0
+10 0 1 0 0 15 24 32 0
+10 0 1 0 0 16 24 32 0
+10 0 1 0 0 17 24 32 0
+10 0 1 0 0 18 24 32 0
+10 0 1 0 0 19 24 32 0
+10 0 1 0 0 20 24 32 0
+10 0 1 0 0 21 24 32 0
+10 0 1 0 0 22 24 32 0
+10 0 1 0 0 23 24 32 0
+10 0 1 0 0 24 24 32 0
+10 0 1 0 0 25 24 32 0
+10 0 1 0 0 26 24 32 0
+10 0 1 0 0 27 24 32 0
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 0
+10 0 0 0 0 2 24 32 0
+10 0 0 0 0 4 24 32 0
+10 0 0 0 0 6 24 32 0
+10 0 0 0 0 8 24 32 0
+10 0 0 0 0 10 24 32 0
+10 0 0 0 0 12 24 32 0
+10 0 0 0 0 14 24 32 0
+10 0 0 0 0 16 24 32 0
+10 0 0 0 0 18 24 32 0
+10 0 0 0 0 20 24 32 0
+10 0 0 0 0 22 24 32 0
+10 0 0 0 0 24 24 32 0
+10 0 0 0 0 26 24 32 0
+10 0 0 0 0 28 24 32 0
+10 0 0 0 0 30 24 32 0
+10 0 0 0 0 32 24 32 0
+10 0 0 0 0 34 24 32 0
+10 0 0 0 0 36 24 32 0
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0
+11 0 1 0 0 10 24 32 0
+11 0 1 0 0 11 24 32 0
+11 0 1 0 0 12 24 32 0
+11 0 1 0 0 13 24 32 0
+11 0 1 0 0 14 24 32 0
+11 0 1 0 0 15 24 32 0
+11 0 1 0 0 16 24 32 0
+11 0 1 0 0 17 24 32 0
+11 0 1 0 0 18 24 32 0
+11 0 1 0 0 19 24 32 0
+11 0 1 0 0 20 24 32 0
+11 0 1 0 0 21 24 32 0
+11 0 1 0 0 22 24 32 0
+11 0 1 0 0 23 24 32 0
+11 0 1 0 0 24 24 32 0
+11 0 1 0 0 25 24 32 0
+11 0 1 0 0 26 24 32 0
+11 0 1 0 0 27 24 32 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 0
+12 0 1 0 0 10 24 32 0
+12 0 1 0 0 11 24 32 0
+12 0 1 0 0 12 24 32 0
+12 0 1 0 0 13 24 32 0
+12 0 1 0 0 14 24 32 0
+12 0 1 0 0 15 24 32 0
+12 0 1 0 0 16 24 32 0
+12 0 1 0 0 17 24 32 0
+12 0 1 0 0 18 24 32 0
+12 0 1 0 0 19 24 32 0
+12 0 1 0 0 20 24 32 0
+12 0 1 0 0 21 24 32 0
+12 0 1 0 0 22 24 32 0
+12 0 1 0 0 23 24 32 0
+12 0 1 0 0 24 24 32 0
+12 0 1 0 0 25 24 32 0
+12 0 1 0 0 26 24 32 0
+12 0 1 0 0 27 24 32 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 0
+12 0 0 0 0 2 24 32 0
+12 0 0 0 0 4 24 32 0
+12 0 0 0 0 6 24 32 0
+12 0 0 0 0 8 24 32 0
+12 0 0 0 0 10 24 32 0
+12 0 0 0 0 12 24 32 0
+12 0 0 0 0 14 24 32 0
+12 0 0 0 0 16 24 32 0
+12 0 0 0 0 18 24 32 0
+12 0 0 0 0 20 24 32 0
+12 0 0 0 0 22 24 32 0
+12 0 0 0 0 24 24 32 0
+12 0 0 0 0 26 24 32 0
+12 0 0 0 0 28 24 32 0
+12 0 0 0 0 30 24 32 0
+12 0 0 0 0 32 24 32 0
+12 0 0 0 0 34 24 32 0
+12 0 0 0 0 36 24 32 0
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_z.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_z.yl
new file mode 100644
index 000000000..f6a4a5589
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_z.yl
@@ -0,0 +1,622 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 0
+0 0 1 0 0 18 14 32 0
+0 0 1 0 0 18 15 32 0
+0 0 1 0 0 18 16 32 0
+0 0 1 0 0 18 17 32 0
+0 0 1 0 0 18 18 32 0
+0 0 1 0 0 18 19 32 0
+0 0 1 0 0 18 20 32 0
+0 0 1 0 0 18 21 32 0
+0 0 1 0 0 18 22 32 0
+0 0 1 0 0 18 23 32 0
+0 0 1 0 0 18 24 32 0
+0 0 1 0 0 18 25 32 0
+0 0 1 0 0 18 26 32 0
+0 0 1 0 0 18 27 32 0
+0 0 1 0 0 18 28 32 0
+0 0 1 0 0 18 29 32 0
+0 0 1 0 0 18 30 32 0
+0 0 1 0 0 18 31 32 0
+0 0 1 0 0 18 32 32 0
+0 0 1 0 0 18 33 32 0
+0 0 1 0 0 18 34 32 0
+0 0 1 0 0 18 35 32 0
+0 0 1 0 0 18 36 32 0
+0 0 1 0 0 18 37 32 0
+0 0 1 0 0 18 38 32 0
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 0
+0 0 0 0 0 18 2 32 0
+0 0 0 0 0 18 4 32 0
+0 0 0 0 0 18 6 32 0
+0 0 0 0 0 18 8 32 0
+0 0 0 0 0 18 10 32 0
+0 0 0 0 0 18 12 32 0
+0 0 0 0 0 18 14 32 0
+0 0 0 0 0 18 16 32 0
+0 0 0 0 0 18 18 32 0
+0 0 0 0 0 18 20 32 0
+0 0 0 0 0 18 22 32 0
+0 0 0 0 0 18 24 32 0
+0 0 0 0 0 18 26 32 0
+0 0 0 0 0 18 28 32 0
+0 0 0 0 0 18 30 32 0
+0 0 0 0 0 18 32 32 0
+0 0 0 0 0 18 34 32 0
+0 0 0 0 0 18 36 32 0
+0 0 0 0 0 18 38 32 0
+0 0 0 0 0 18 40 32 0
+0 0 0 0 0 18 42 32 0
+0 0 0 0 0 18 44 32 0
+0 0 0 0 0 18 46 32 0
+0 0 0 0 0 18 48 32 0
+0 0 0 0 0 18 50 32 0
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0
+1 0 1 0 0 18 14 32 0
+1 0 1 0 0 18 15 32 0
+1 0 1 0 0 18 16 32 0
+1 0 1 0 0 18 17 32 0
+1 0 1 0 0 18 18 32 0
+1 0 1 0 0 18 19 32 0
+1 0 1 0 0 18 20 32 0
+1 0 1 0 0 18 21 32 0
+1 0 1 0 0 18 22 32 0
+1 0 1 0 0 18 23 32 0
+1 0 1 0 0 18 24 32 0
+1 0 1 0 0 18 25 32 0
+1 0 1 0 0 18 26 32 0
+1 0 1 0 0 18 27 32 0
+1 0 1 0 0 18 28 32 0
+1 0 1 0 0 18 29 32 0
+1 0 1 0 0 18 30 32 0
+1 0 1 0 0 18 31 32 0
+1 0 1 0 0 18 32 32 0
+1 0 1 0 0 18 33 32 0
+1 0 1 0 0 18 34 32 0
+1 0 1 0 0 18 35 32 0
+1 0 1 0 0 18 36 32 0
+1 0 1 0 0 18 37 32 0
+1 0 1 0 0 18 38 32 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0
+2 0 1 0 0 18 14 32 0
+2 0 1 0 0 18 15 32 0
+2 0 1 0 0 18 16 32 0
+2 0 1 0 0 18 17 32 0
+2 0 1 0 0 18 18 32 0
+2 0 1 0 0 18 19 32 0
+2 0 1 0 0 18 20 32 0
+2 0 1 0 0 18 21 32 0
+2 0 1 0 0 18 22 32 0
+2 0 1 0 0 18 23 32 0
+2 0 1 0 0 18 24 32 0
+2 0 1 0 0 18 25 32 0
+2 0 1 0 0 18 26 32 0
+2 0 1 0 0 18 27 32 0
+2 0 1 0 0 18 28 32 0
+2 0 1 0 0 18 29 32 0
+2 0 1 0 0 18 30 32 0
+2 0 1 0 0 18 31 32 0
+2 0 1 0 0 18 32 32 0
+2 0 1 0 0 18 33 32 0
+2 0 1 0 0 18 34 32 0
+2 0 1 0 0 18 35 32 0
+2 0 1 0 0 18 36 32 0
+2 0 1 0 0 18 37 32 0
+2 0 1 0 0 18 38 32 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 0
+2 0 0 0 0 18 2 32 0
+2 0 0 0 0 18 4 32 0
+2 0 0 0 0 18 6 32 0
+2 0 0 0 0 18 8 32 0
+2 0 0 0 0 18 10 32 0
+2 0 0 0 0 18 12 32 0
+2 0 0 0 0 18 14 32 0
+2 0 0 0 0 18 16 32 0
+2 0 0 0 0 18 18 32 0
+2 0 0 0 0 18 20 32 0
+2 0 0 0 0 18 22 32 0
+2 0 0 0 0 18 24 32 0
+2 0 0 0 0 18 26 32 0
+2 0 0 0 0 18 28 32 0
+2 0 0 0 0 18 30 32 0
+2 0 0 0 0 18 32 32 0
+2 0 0 0 0 18 34 32 0
+2 0 0 0 0 18 36 32 0
+2 0 0 0 0 18 38 32 0
+2 0 0 0 0 18 40 32 0
+2 0 0 0 0 18 42 32 0
+2 0 0 0 0 18 44 32 0
+2 0 0 0 0 18 46 32 0
+2 0 0 0 0 18 48 32 0
+2 0 0 0 0 18 50 32 0
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0
+3 0 1 0 0 18 14 32 0
+3 0 1 0 0 18 15 32 0
+3 0 1 0 0 18 16 32 0
+3 0 1 0 0 18 17 32 0
+3 0 1 0 0 18 18 32 0
+3 0 1 0 0 18 19 32 0
+3 0 1 0 0 18 20 32 0
+3 0 1 0 0 18 21 32 0
+3 0 1 0 0 18 22 32 0
+3 0 1 0 0 18 23 32 0
+3 0 1 0 0 18 24 32 0
+3 0 1 0 0 18 25 32 0
+3 0 1 0 0 18 26 32 0
+3 0 1 0 0 18 27 32 0
+3 0 1 0 0 18 28 32 0
+3 0 1 0 0 18 29 32 0
+3 0 1 0 0 18 30 32 0
+3 0 1 0 0 18 31 32 0
+3 0 1 0 0 18 32 32 0
+3 0 1 0 0 18 33 32 0
+3 0 1 0 0 18 34 32 0
+3 0 1 0 0 18 35 32 0
+3 0 1 0 0 18 36 32 0
+3 0 1 0 0 18 37 32 0
+3 0 1 0 0 18 38 32 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0
+4 0 1 0 0 18 14 32 0
+4 0 1 0 0 18 15 32 0
+4 0 1 0 0 18 16 32 0
+4 0 1 0 0 18 17 32 0
+4 0 1 0 0 18 18 32 0
+4 0 1 0 0 18 19 32 0
+4 0 1 0 0 18 20 32 0
+4 0 1 0 0 18 21 32 0
+4 0 1 0 0 18 22 32 0
+4 0 1 0 0 18 23 32 0
+4 0 1 0 0 18 24 32 0
+4 0 1 0 0 18 25 32 0
+4 0 1 0 0 18 26 32 0
+4 0 1 0 0 18 27 32 0
+4 0 1 0 0 18 28 32 0
+4 0 1 0 0 18 29 32 0
+4 0 1 0 0 18 30 32 0
+4 0 1 0 0 18 31 32 0
+4 0 1 0 0 18 32 32 0
+4 0 1 0 0 18 33 32 0
+4 0 1 0 0 18 34 32 0
+4 0 1 0 0 18 35 32 0
+4 0 1 0 0 18 36 32 0
+4 0 1 0 0 18 37 32 0
+4 0 1 0 0 18 38 32 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 0
+4 0 0 0 0 18 2 32 0
+4 0 0 0 0 18 4 32 0
+4 0 0 0 0 18 6 32 0
+4 0 0 0 0 18 8 32 0
+4 0 0 0 0 18 10 32 0
+4 0 0 0 0 18 12 32 0
+4 0 0 0 0 18 14 32 0
+4 0 0 0 0 18 16 32 0
+4 0 0 0 0 18 18 32 0
+4 0 0 0 0 18 20 32 0
+4 0 0 0 0 18 22 32 0
+4 0 0 0 0 18 24 32 0
+4 0 0 0 0 18 26 32 0
+4 0 0 0 0 18 28 32 0
+4 0 0 0 0 18 30 32 0
+4 0 0 0 0 18 32 32 0
+4 0 0 0 0 18 34 32 0
+4 0 0 0 0 18 36 32 0
+4 0 0 0 0 18 38 32 0
+4 0 0 0 0 18 40 32 0
+4 0 0 0 0 18 42 32 0
+4 0 0 0 0 18 44 32 0
+4 0 0 0 0 18 46 32 0
+4 0 0 0 0 18 48 32 0
+4 0 0 0 0 18 50 32 0
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0
+5 0 1 0 0 18 14 32 0
+5 0 1 0 0 18 15 32 0
+5 0 1 0 0 18 16 32 0
+5 0 1 0 0 18 17 32 0
+5 0 1 0 0 18 18 32 0
+5 0 1 0 0 18 19 32 0
+5 0 1 0 0 18 20 32 0
+5 0 1 0 0 18 21 32 0
+5 0 1 0 0 18 22 32 0
+5 0 1 0 0 18 23 32 0
+5 0 1 0 0 18 24 32 0
+5 0 1 0 0 18 25 32 0
+5 0 1 0 0 18 26 32 0
+5 0 1 0 0 18 27 32 0
+5 0 1 0 0 18 28 32 0
+5 0 1 0 0 18 29 32 0
+5 0 1 0 0 18 30 32 0
+5 0 1 0 0 18 31 32 0
+5 0 1 0 0 18 32 32 0
+5 0 1 0 0 18 33 32 0
+5 0 1 0 0 18 34 32 0
+5 0 1 0 0 18 35 32 0
+5 0 1 0 0 18 36 32 0
+5 0 1 0 0 18 37 32 0
+5 0 1 0 0 18 38 32 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0
+6 0 1 0 0 18 14 32 0
+6 0 1 0 0 18 15 32 0
+6 0 1 0 0 18 16 32 0
+6 0 1 0 0 18 17 32 0
+6 0 1 0 0 18 18 32 0
+6 0 1 0 0 18 19 32 0
+6 0 1 0 0 18 20 32 0
+6 0 1 0 0 18 21 32 0
+6 0 1 0 0 18 22 32 0
+6 0 1 0 0 18 23 32 0
+6 0 1 0 0 18 24 32 0
+6 0 1 0 0 18 25 32 0
+6 0 1 0 0 18 26 32 0
+6 0 1 0 0 18 27 32 0
+6 0 1 0 0 18 28 32 0
+6 0 1 0 0 18 29 32 0
+6 0 1 0 0 18 30 32 0
+6 0 1 0 0 18 31 32 0
+6 0 1 0 0 18 32 32 0
+6 0 1 0 0 18 33 32 0
+6 0 1 0 0 18 34 32 0
+6 0 1 0 0 18 35 32 0
+6 0 1 0 0 18 36 32 0
+6 0 1 0 0 18 37 32 0
+6 0 1 0 0 18 38 32 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 0
+6 0 0 0 0 18 2 32 0
+6 0 0 0 0 18 4 32 0
+6 0 0 0 0 18 6 32 0
+6 0 0 0 0 18 8 32 0
+6 0 0 0 0 18 10 32 0
+6 0 0 0 0 18 12 32 0
+6 0 0 0 0 18 14 32 0
+6 0 0 0 0 18 16 32 0
+6 0 0 0 0 18 18 32 0
+6 0 0 0 0 18 20 32 0
+6 0 0 0 0 18 22 32 0
+6 0 0 0 0 18 24 32 0
+6 0 0 0 0 18 26 32 0
+6 0 0 0 0 18 28 32 0
+6 0 0 0 0 18 30 32 0
+6 0 0 0 0 18 32 32 0
+6 0 0 0 0 18 34 32 0
+6 0 0 0 0 18 36 32 0
+6 0 0 0 0 18 38 32 0
+6 0 0 0 0 18 40 32 0
+6 0 0 0 0 18 42 32 0
+6 0 0 0 0 18 44 32 0
+6 0 0 0 0 18 46 32 0
+6 0 0 0 0 18 48 32 0
+6 0 0 0 0 18 50 32 0
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0
+7 0 1 0 0 18 14 32 0
+7 0 1 0 0 18 15 32 0
+7 0 1 0 0 18 16 32 0
+7 0 1 0 0 18 17 32 0
+7 0 1 0 0 18 18 32 0
+7 0 1 0 0 18 19 32 0
+7 0 1 0 0 18 20 32 0
+7 0 1 0 0 18 21 32 0
+7 0 1 0 0 18 22 32 0
+7 0 1 0 0 18 23 32 0
+7 0 1 0 0 18 24 32 0
+7 0 1 0 0 18 25 32 0
+7 0 1 0 0 18 26 32 0
+7 0 1 0 0 18 27 32 0
+7 0 1 0 0 18 28 32 0
+7 0 1 0 0 18 29 32 0
+7 0 1 0 0 18 30 32 0
+7 0 1 0 0 18 31 32 0
+7 0 1 0 0 18 32 32 0
+7 0 1 0 0 18 33 32 0
+7 0 1 0 0 18 34 32 0
+7 0 1 0 0 18 35 32 0
+7 0 1 0 0 18 36 32 0
+7 0 1 0 0 18 37 32 0
+7 0 1 0 0 18 38 32 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0
+8 0 1 0 0 18 14 32 0
+8 0 1 0 0 18 15 32 0
+8 0 1 0 0 18 16 32 0
+8 0 1 0 0 18 17 32 0
+8 0 1 0 0 18 18 32 0
+8 0 1 0 0 18 19 32 0
+8 0 1 0 0 18 20 32 0
+8 0 1 0 0 18 21 32 0
+8 0 1 0 0 18 22 32 0
+8 0 1 0 0 18 23 32 0
+8 0 1 0 0 18 24 32 0
+8 0 1 0 0 18 25 32 0
+8 0 1 0 0 18 26 32 0
+8 0 1 0 0 18 27 32 0
+8 0 1 0 0 18 28 32 0
+8 0 1 0 0 18 29 32 0
+8 0 1 0 0 18 30 32 0
+8 0 1 0 0 18 31 32 0
+8 0 1 0 0 18 32 32 0
+8 0 1 0 0 18 33 32 0
+8 0 1 0 0 18 34 32 0
+8 0 1 0 0 18 35 32 0
+8 0 1 0 0 18 36 32 0
+8 0 1 0 0 18 37 32 0
+8 0 1 0 0 18 38 32 0
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 0
+8 0 0 0 0 18 2 32 0
+8 0 0 0 0 18 4 32 0
+8 0 0 0 0 18 6 32 0
+8 0 0 0 0 18 8 32 0
+8 0 0 0 0 18 10 32 0
+8 0 0 0 0 18 12 32 0
+8 0 0 0 0 18 14 32 0
+8 0 0 0 0 18 16 32 0
+8 0 0 0 0 18 18 32 0
+8 0 0 0 0 18 20 32 0
+8 0 0 0 0 18 22 32 0
+8 0 0 0 0 18 24 32 0
+8 0 0 0 0 18 26 32 0
+8 0 0 0 0 18 28 32 0
+8 0 0 0 0 18 30 32 0
+8 0 0 0 0 18 32 32 0
+8 0 0 0 0 18 34 32 0
+8 0 0 0 0 18 36 32 0
+8 0 0 0 0 18 38 32 0
+8 0 0 0 0 18 40 32 0
+8 0 0 0 0 18 42 32 0
+8 0 0 0 0 18 44 32 0
+8 0 0 0 0 18 46 32 0
+8 0 0 0 0 18 48 32 0
+8 0 0 0 0 18 50 32 0
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0
+9 0 1 0 0 18 14 32 0
+9 0 1 0 0 18 15 32 0
+9 0 1 0 0 18 16 32 0
+9 0 1 0 0 18 17 32 0
+9 0 1 0 0 18 18 32 0
+9 0 1 0 0 18 19 32 0
+9 0 1 0 0 18 20 32 0
+9 0 1 0 0 18 21 32 0
+9 0 1 0 0 18 22 32 0
+9 0 1 0 0 18 23 32 0
+9 0 1 0 0 18 24 32 0
+9 0 1 0 0 18 25 32 0
+9 0 1 0 0 18 26 32 0
+9 0 1 0 0 18 27 32 0
+9 0 1 0 0 18 28 32 0
+9 0 1 0 0 18 29 32 0
+9 0 1 0 0 18 30 32 0
+9 0 1 0 0 18 31 32 0
+9 0 1 0 0 18 32 32 0
+9 0 1 0 0 18 33 32 0
+9 0 1 0 0 18 34 32 0
+9 0 1 0 0 18 35 32 0
+9 0 1 0 0 18 36 32 0
+9 0 1 0 0 18 37 32 0
+9 0 1 0 0 18 38 32 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 0
+10 0 1 0 0 18 14 32 0
+10 0 1 0 0 18 15 32 0
+10 0 1 0 0 18 16 32 0
+10 0 1 0 0 18 17 32 0
+10 0 1 0 0 18 18 32 0
+10 0 1 0 0 18 19 32 0
+10 0 1 0 0 18 20 32 0
+10 0 1 0 0 18 21 32 0
+10 0 1 0 0 18 22 32 0
+10 0 1 0 0 18 23 32 0
+10 0 1 0 0 18 24 32 0
+10 0 1 0 0 18 25 32 0
+10 0 1 0 0 18 26 32 0
+10 0 1 0 0 18 27 32 0
+10 0 1 0 0 18 28 32 0
+10 0 1 0 0 18 29 32 0
+10 0 1 0 0 18 30 32 0
+10 0 1 0 0 18 31 32 0
+10 0 1 0 0 18 32 32 0
+10 0 1 0 0 18 33 32 0
+10 0 1 0 0 18 34 32 0
+10 0 1 0 0 18 35 32 0
+10 0 1 0 0 18 36 32 0
+10 0 1 0 0 18 37 32 0
+10 0 1 0 0 18 38 32 0
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 0
+10 0 0 0 0 18 2 32 0
+10 0 0 0 0 18 4 32 0
+10 0 0 0 0 18 6 32 0
+10 0 0 0 0 18 8 32 0
+10 0 0 0 0 18 10 32 0
+10 0 0 0 0 18 12 32 0
+10 0 0 0 0 18 14 32 0
+10 0 0 0 0 18 16 32 0
+10 0 0 0 0 18 18 32 0
+10 0 0 0 0 18 20 32 0
+10 0 0 0 0 18 22 32 0
+10 0 0 0 0 18 24 32 0
+10 0 0 0 0 18 26 32 0
+10 0 0 0 0 18 28 32 0
+10 0 0 0 0 18 30 32 0
+10 0 0 0 0 18 32 32 0
+10 0 0 0 0 18 34 32 0
+10 0 0 0 0 18 36 32 0
+10 0 0 0 0 18 38 32 0
+10 0 0 0 0 18 40 32 0
+10 0 0 0 0 18 42 32 0
+10 0 0 0 0 18 44 32 0
+10 0 0 0 0 18 46 32 0
+10 0 0 0 0 18 48 32 0
+10 0 0 0 0 18 50 32 0
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0
+11 0 1 0 0 18 14 32 0
+11 0 1 0 0 18 15 32 0
+11 0 1 0 0 18 16 32 0
+11 0 1 0 0 18 17 32 0
+11 0 1 0 0 18 18 32 0
+11 0 1 0 0 18 19 32 0
+11 0 1 0 0 18 20 32 0
+11 0 1 0 0 18 21 32 0
+11 0 1 0 0 18 22 32 0
+11 0 1 0 0 18 23 32 0
+11 0 1 0 0 18 24 32 0
+11 0 1 0 0 18 25 32 0
+11 0 1 0 0 18 26 32 0
+11 0 1 0 0 18 27 32 0
+11 0 1 0 0 18 28 32 0
+11 0 1 0 0 18 29 32 0
+11 0 1 0 0 18 30 32 0
+11 0 1 0 0 18 31 32 0
+11 0 1 0 0 18 32 32 0
+11 0 1 0 0 18 33 32 0
+11 0 1 0 0 18 34 32 0
+11 0 1 0 0 18 35 32 0
+11 0 1 0 0 18 36 32 0
+11 0 1 0 0 18 37 32 0
+11 0 1 0 0 18 38 32 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0
+12 0 1 0 0 18 14 32 0
+12 0 1 0 0 18 15 32 0
+12 0 1 0 0 18 16 32 0
+12 0 1 0 0 18 17 32 0
+12 0 1 0 0 18 18 32 0
+12 0 1 0 0 18 19 32 0
+12 0 1 0 0 18 20 32 0
+12 0 1 0 0 18 21 32 0
+12 0 1 0 0 18 22 32 0
+12 0 1 0 0 18 23 32 0
+12 0 1 0 0 18 24 32 0
+12 0 1 0 0 18 25 32 0
+12 0 1 0 0 18 26 32 0
+12 0 1 0 0 18 27 32 0
+12 0 1 0 0 18 28 32 0
+12 0 1 0 0 18 29 32 0
+12 0 1 0 0 18 30 32 0
+12 0 1 0 0 18 31 32 0
+12 0 1 0 0 18 32 32 0
+12 0 1 0 0 18 33 32 0
+12 0 1 0 0 18 34 32 0
+12 0 1 0 0 18 35 32 0
+12 0 1 0 0 18 36 32 0
+12 0 1 0 0 18 37 32 0
+12 0 1 0 0 18 38 32 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0
+12 0 0 0 0 18 2 32 0
+12 0 0 0 0 18 4 32 0
+12 0 0 0 0 18 6 32 0
+12 0 0 0 0 18 8 32 0
+12 0 0 0 0 18 10 32 0
+12 0 0 0 0 18 12 32 0
+12 0 0 0 0 18 14 32 0
+12 0 0 0 0 18 16 32 0
+12 0 0 0 0 18 18 32 0
+12 0 0 0 0 18 20 32 0
+12 0 0 0 0 18 22 32 0
+12 0 0 0 0 18 24 32 0
+12 0 0 0 0 18 26 32 0
+12 0 0 0 0 18 28 32 0
+12 0 0 0 0 18 30 32 0
+12 0 0 0 0 18 32 32 0
+12 0 0 0 0 18 34 32 0
+12 0 0 0 0 18 36 32 0
+12 0 0 0 0 18 38 32 0
+12 0 0 0 0 18 40 32 0
+12 0 0 0 0 18 42 32 0
+12 0 0 0 0 18 44 32 0
+12 0 0 0 0 18 46 32 0
+12 0 0 0 0 18 48 32 0
+12 0 0 0 0 18 50 32 0
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_z.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_z.zl
new file mode 100644
index 000000000..a1ef57457
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/cart3d_z.zl
@@ -0,0 +1,782 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -4.5
+0 0 1 0 0 18 24 18 -4.2
+0 0 1 0 0 18 24 19 -3.9
+0 0 1 0 0 18 24 20 -3.6
+0 0 1 0 0 18 24 21 -3.3
+0 0 1 0 0 18 24 22 -3
+0 0 1 0 0 18 24 23 -2.7
+0 0 1 0 0 18 24 24 -2.4
+0 0 1 0 0 18 24 25 -2.1
+0 0 1 0 0 18 24 26 -1.8
+0 0 1 0 0 18 24 27 -1.5
+0 0 1 0 0 18 24 28 -1.2
+0 0 1 0 0 18 24 29 -0.9
+0 0 1 0 0 18 24 30 -0.6
+0 0 1 0 0 18 24 31 -0.3
+0 0 1 0 0 18 24 32 0
+0 0 1 0 0 18 24 33 0.3
+0 0 1 0 0 18 24 34 0.6
+0 0 1 0 0 18 24 35 0.9
+0 0 1 0 0 18 24 36 1.2
+0 0 1 0 0 18 24 37 1.5
+0 0 1 0 0 18 24 38 1.8
+0 0 1 0 0 18 24 39 2.1
+0 0 1 0 0 18 24 40 2.4
+0 0 1 0 0 18 24 41 2.7
+0 0 1 0 0 18 24 42 3
+0 0 1 0 0 18 24 43 3.3
+0 0 1 0 0 18 24 44 3.6
+0 0 1 0 0 18 24 45 3.9
+0 0 1 0 0 18 24 46 4.2
+0 0 1 0 0 18 24 47 4.5
+0 0 1 0 0 18 24 48 4.8
+0 0 1 0 0 18 24 49 5.1
+0 0 1 0 0 18 24 50 5.4
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 -9.6
+0 0 0 0 0 18 24 2 -9
+0 0 0 0 0 18 24 4 -8.4
+0 0 0 0 0 18 24 6 -7.8
+0 0 0 0 0 18 24 8 -7.2
+0 0 0 0 0 18 24 10 -6.6
+0 0 0 0 0 18 24 12 -6
+0 0 0 0 0 18 24 14 -5.4
+0 0 0 0 0 18 24 16 -4.8
+0 0 0 0 0 18 24 18 -4.2
+0 0 0 0 0 18 24 20 -3.6
+0 0 0 0 0 18 24 22 -3
+0 0 0 0 0 18 24 24 -2.4
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+# iteration 1
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+
+# iteration 2
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+
+# iteration 2
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+
+# iteration 3
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+# column format: it tl rl c ml x y z data
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+
+# iteration 4
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+
+# iteration 4
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+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+10 0 0 0 0 18 24 52 6
+10 0 0 0 0 18 24 54 6.6
+10 0 0 0 0 18 24 56 7.2
+10 0 0 0 0 18 24 58 7.8
+10 0 0 0 0 18 24 60 8.4
+10 0 0 0 0 18 24 62 9
+10 0 0 0 0 18 24 64 9.6
+10 0 0 0 0 18 24 66 10.2
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 -4.5
+11 0 1 0 0 18 24 18 -4.2
+11 0 1 0 0 18 24 19 -3.9
+11 0 1 0 0 18 24 20 -3.6
+11 0 1 0 0 18 24 21 -3.3
+11 0 1 0 0 18 24 22 -3
+11 0 1 0 0 18 24 23 -2.7
+11 0 1 0 0 18 24 24 -2.4
+11 0 1 0 0 18 24 25 -2.1
+11 0 1 0 0 18 24 26 -1.8
+11 0 1 0 0 18 24 27 -1.5
+11 0 1 0 0 18 24 28 -1.2
+11 0 1 0 0 18 24 29 -0.9
+11 0 1 0 0 18 24 30 -0.6
+11 0 1 0 0 18 24 31 -0.3
+11 0 1 0 0 18 24 32 0
+11 0 1 0 0 18 24 33 0.3
+11 0 1 0 0 18 24 34 0.6
+11 0 1 0 0 18 24 35 0.9
+11 0 1 0 0 18 24 36 1.2
+11 0 1 0 0 18 24 37 1.5
+11 0 1 0 0 18 24 38 1.8
+11 0 1 0 0 18 24 39 2.1
+11 0 1 0 0 18 24 40 2.4
+11 0 1 0 0 18 24 41 2.7
+11 0 1 0 0 18 24 42 3
+11 0 1 0 0 18 24 43 3.3
+11 0 1 0 0 18 24 44 3.6
+11 0 1 0 0 18 24 45 3.9
+11 0 1 0 0 18 24 46 4.2
+11 0 1 0 0 18 24 47 4.5
+11 0 1 0 0 18 24 48 4.8
+11 0 1 0 0 18 24 49 5.1
+11 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 -4.5
+12 0 1 0 0 18 24 18 -4.2
+12 0 1 0 0 18 24 19 -3.9
+12 0 1 0 0 18 24 20 -3.6
+12 0 1 0 0 18 24 21 -3.3
+12 0 1 0 0 18 24 22 -3
+12 0 1 0 0 18 24 23 -2.7
+12 0 1 0 0 18 24 24 -2.4
+12 0 1 0 0 18 24 25 -2.1
+12 0 1 0 0 18 24 26 -1.8
+12 0 1 0 0 18 24 27 -1.5
+12 0 1 0 0 18 24 28 -1.2
+12 0 1 0 0 18 24 29 -0.9
+12 0 1 0 0 18 24 30 -0.6
+12 0 1 0 0 18 24 31 -0.3
+12 0 1 0 0 18 24 32 0
+12 0 1 0 0 18 24 33 0.3
+12 0 1 0 0 18 24 34 0.6
+12 0 1 0 0 18 24 35 0.9
+12 0 1 0 0 18 24 36 1.2
+12 0 1 0 0 18 24 37 1.5
+12 0 1 0 0 18 24 38 1.8
+12 0 1 0 0 18 24 39 2.1
+12 0 1 0 0 18 24 40 2.4
+12 0 1 0 0 18 24 41 2.7
+12 0 1 0 0 18 24 42 3
+12 0 1 0 0 18 24 43 3.3
+12 0 1 0 0 18 24 44 3.6
+12 0 1 0 0 18 24 45 3.9
+12 0 1 0 0 18 24 46 4.2
+12 0 1 0 0 18 24 47 4.5
+12 0 1 0 0 18 24 48 4.8
+12 0 1 0 0 18 24 49 5.1
+12 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 -9.6
+12 0 0 0 0 18 24 2 -9
+12 0 0 0 0 18 24 4 -8.4
+12 0 0 0 0 18 24 6 -7.8
+12 0 0 0 0 18 24 8 -7.2
+12 0 0 0 0 18 24 10 -6.6
+12 0 0 0 0 18 24 12 -6
+12 0 0 0 0 18 24 14 -5.4
+12 0 0 0 0 18 24 16 -4.8
+12 0 0 0 0 18 24 18 -4.2
+12 0 0 0 0 18 24 20 -3.6
+12 0 0 0 0 18 24 22 -3
+12 0 0 0 0 18 24 24 -2.4
+12 0 0 0 0 18 24 26 -1.8
+12 0 0 0 0 18 24 28 -1.2
+12 0 0 0 0 18 24 30 -0.6
+12 0 0 0 0 18 24 32 0
+12 0 0 0 0 18 24 34 0.6
+12 0 0 0 0 18 24 36 1.2
+12 0 0 0 0 18 24 38 1.8
+12 0 0 0 0 18 24 40 2.4
+12 0 0 0 0 18 24 42 3
+12 0 0 0 0 18 24 44 3.6
+12 0 0 0 0 18 24 46 4.2
+12 0 0 0 0 18 24 48 4.8
+12 0 0 0 0 18 24 50 5.4
+12 0 0 0 0 18 24 52 6
+12 0 0 0 0 18 24 54 6.6
+12 0 0 0 0 18 24 56 7.2
+12 0 0 0 0 18 24 58 7.8
+12 0 0 0 0 18 24 60 8.4
+12 0 0 0 0 18 24 62 9
+12 0 0 0 0 18 24 64 9.6
+12 0 0 0 0 18 24 66 10.2
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/phi.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/phi.xl
new file mode 100644
index 000000000..d6722a584
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/phi.xl
@@ -0,0 +1,482 @@
+# SPACETIMETOY::phi x (phi)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -0.309016994374946
+0 0 1 0 0 10 24 32 -0.104528463267652
+0 0 1 0 0 11 24 32 0.104528463267655
+0 0 1 0 0 12 24 32 0.309016994374949
+0 0 1 0 0 13 24 32 0.500000000000001
+0 0 1 0 0 14 24 32 0.669130606358859
+0 0 1 0 0 15 24 32 0.809016994374948
+0 0 1 0 0 16 24 32 0.913545457642601
+0 0 1 0 0 17 24 32 0.978147600733806
+0 0 1 0 0 18 24 32 1
+0 0 1 0 0 19 24 32 0.978147600733806
+0 0 1 0 0 20 24 32 0.913545457642601
+0 0 1 0 0 21 24 32 0.809016994374948
+0 0 1 0 0 22 24 32 0.669130606358859
+0 0 1 0 0 23 24 32 0.500000000000001
+0 0 1 0 0 24 24 32 0.309016994374948
+0 0 1 0 0 25 24 32 0.104528463267655
+0 0 1 0 0 26 24 32 -0.104528463267652
+0 0 1 0 0 27 24 32 -0.309016994374946
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -0.80901699437495
+0 0 0 0 0 2 24 32 -0.978147600733806
+0 0 0 0 0 4 24 32 -0.978147600733805
+0 0 0 0 0 6 24 32 -0.809016994374946
+0 0 0 0 0 8 24 32 -0.499999999999998
+0 0 0 0 0 10 24 32 -0.104528463267652
+0 0 0 0 0 12 24 32 0.309016994374949
+0 0 0 0 0 14 24 32 0.669130606358859
+0 0 0 0 0 16 24 32 0.913545457642601
+0 0 0 0 0 18 24 32 1
+0 0 0 0 0 20 24 32 0.913545457642601
+0 0 0 0 0 22 24 32 0.669130606358859
+0 0 0 0 0 24 24 32 0.309016994374948
+0 0 0 0 0 26 24 32 -0.104528463267652
+0 0 0 0 0 28 24 32 -0.499999999999998
+0 0 0 0 0 30 24 32 -0.809016994374946
+0 0 0 0 0 32 24 32 -0.978147600733805
+0 0 0 0 0 34 24 32 -0.978147600733806
+0 0 0 0 0 36 24 32 -0.809016994374949
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -0.153152737177741
+1 0 1 0 0 10 24 32 0.0560658635089665
+1 0 1 0 0 11 24 32 0.265439379818423
+1 0 1 0 0 12 24 32 0.460472702730666
+1 0 1 0 0 13 24 32 0.635188326034357
+1 0 1 0 0 14 24 32 0.782143171518591
+1 0 1 0 0 15 24 32 0.894914607268121
+1 0 1 0 0 16 24 32 0.968573980403307
+1 0 1 0 0 17 24 32 0.999902022861252
+1 0 1 0 0 18 24 32 0.987529548857919
+1 0 1 0 0 19 24 32 0.931997294876969
+1 0 1 0 0 20 24 32 0.83573228689069
+1 0 1 0 0 21 24 32 0.702941767678842
+1 0 1 0 0 22 24 32 0.539429320130588
+1 0 1 0 0 23 24 32 0.352341222823564
+1 0 1 0 0 24 24 32 0.14985412335838
+1 0 1 0 0 25 24 32 -0.0588902158071822
+1 0 1 0 0 26 24 32 -0.262943097267967
+1 0 1 0 0 27 24 32 -0.458002550729217
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0.00946894110921837
+2 0 1 0 0 10 24 32 0.218537803326821
+2 0 1 0 0 11 24 32 0.418650950792539
+2 0 1 0 0 12 24 32 0.599682661914628
+2 0 1 0 0 13 24 32 0.75349496869458
+2 0 1 0 0 14 24 32 0.874325606019993
+2 0 1 0 0 15 24 32 0.956943684726482
+2 0 1 0 0 16 24 32 0.997738732485158
+2 0 1 0 0 17 24 32 0.994927809952609
+2 0 1 0 0 18 24 32 0.948633767931811
+2 0 1 0 0 19 24 32 0.860879878202532
+2 0 1 0 0 20 24 32 0.735501406835825
+2 0 1 0 0 21 24 32 0.577977994663069
+2 0 1 0 0 22 24 32 0.39519417067741
+2 0 1 0 0 23 24 32 0.195137644264285
+2 0 1 0 0 24 24 32 -0.0133869194093531
+2 0 1 0 0 25 24 32 -0.220286178759485
+2 0 1 0 0 26 24 32 -0.418048776974342
+2 0 1 0 0 27 24 32 -0.59886287452865
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -0.960194313182036
+2 0 0 0 0 2 24 32 -1.00002486298069
+2 0 0 0 0 4 24 32 -0.866942029029302
+2 0 0 0 0 6 24 32 -0.583957042337672
+2 0 0 0 0 8 24 32 -0.200000577942675
+2 0 0 0 0 10 24 32 0.218537803326821
+2 0 0 0 0 12 24 32 0.599682661914628
+2 0 0 0 0 14 24 32 0.874325606019993
+2 0 0 0 0 16 24 32 0.997738732485158
+2 0 0 0 0 18 24 32 0.948633767931811
+2 0 0 0 0 20 24 32 0.735501406835825
+2 0 0 0 0 22 24 32 0.39519417067741
+2 0 0 0 0 24 24 32 -0.0133869194093531
+2 0 0 0 0 26 24 32 -0.418048776974342
+2 0 0 0 0 28 24 32 -0.754337443542726
+2 0 0 0 0 30 24 32 -0.960194313182036
+2 0 0 0 0 32 24 32 -1.00002486298069
+2 0 0 0 0 34 24 32 -0.866942029029302
+2 0 0 0 0 36 24 32 -0.583957042337672
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0.168775494722168
+3 0 1 0 0 10 24 32 0.372133478469651
+3 0 1 0 0 11 24 32 0.560161182315511
+3 0 1 0 0 12 24 32 0.722690685365133
+3 0 1 0 0 13 24 32 0.851722335202326
+3 0 1 0 0 14 24 32 0.9431953665441
+3 0 1 0 0 15 24 32 0.993425670860593
+3 0 1 0 0 16 24 32 1.00023862553465
+3 0 1 0 0 17 24 32 0.963336342153031
+3 0 1 0 0 18 24 32 0.884331638018682
+3 0 1 0 0 19 24 32 0.766677397808908
+3 0 1 0 0 20 24 32 0.615515676388561
+3 0 1 0 0 21 24 32 0.437452940687598
+3 0 1 0 0 22 24 32 0.240271136794
+3 0 1 0 0 23 24 32 0.0326069071424755
+3 0 1 0 0 24 24 32 -0.176146676711518
+3 0 1 0 0 25 24 32 -0.375654409614812
+3 0 1 0 0 26 24 32 -0.5592926642617
+3 0 1 0 0 27 24 32 -0.720961152952452
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0.328246889619719
+4 0 1 0 0 10 24 32 0.520437514842877
+4 0 1 0 0 11 24 32 0.686558389328484
+4 0 1 0 0 12 24 32 0.826037069173864
+4 0 1 0 0 13 24 32 0.927148776317282
+4 0 1 0 0 14 24 32 0.986885534359826
+4 0 1 0 0 15 24 32 1.00336386367873
+4 0 1 0 0 16 24 32 0.975985203581694
+4 0 1 0 0 17 24 32 0.905951087811899
+4 0 1 0 0 18 24 32 0.79632257509341
+4 0 1 0 0 19 24 32 0.651890943535766
+4 0 1 0 0 20 24 32 0.478968521759715
+4 0 1 0 0 21 24 32 0.285112760005862
+4 0 1 0 0 22 24 32 0.0788015098749015
+4 0 1 0 0 23 24 32 -0.13083501889152
+4 0 1 0 0 24 24 32 -0.334006064101262
+4 0 1 0 0 25 24 32 -0.521176786813341
+4 0 1 0 0 26 24 32 -0.690192371838399
+4 0 1 0 0 27 24 32 -0.828258650728113
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -1.01261353571613
+4 0 0 0 0 2 24 32 -0.918429341288023
+4 0 0 0 0 4 24 32 -0.665440370082583
+4 0 0 0 0 6 24 32 -0.297390713553889
+4 0 0 0 0 8 24 32 0.122074720619755
+4 0 0 0 0 10 24 32 0.520437514842877
+4 0 0 0 0 12 24 32 0.826037069173864
+4 0 0 0 0 14 24 32 0.986885534359826
+4 0 0 0 0 16 24 32 0.975985203581694
+4 0 0 0 0 18 24 32 0.79632257509341
+4 0 0 0 0 20 24 32 0.478968521759715
+4 0 0 0 0 22 24 32 0.0788015098749015
+4 0 0 0 0 24 24 32 -0.334006064101262
+4 0 0 0 0 26 24 32 -0.690192371838399
+4 0 0 0 0 28 24 32 -0.931696739074834
+4 0 0 0 0 30 24 32 -1.01261353571613
+4 0 0 0 0 32 24 32 -0.918429341288023
+4 0 0 0 0 34 24 32 -0.665440370082583
+4 0 0 0 0 36 24 32 -0.297390713553889
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0.475513693058987
+5 0 1 0 0 10 24 32 0.651462150641204
+5 0 1 0 0 11 24 32 0.794976581366891
+5 0 1 0 0 12 24 32 0.906870661829958
+5 0 1 0 0 13 24 32 0.977603485909909
+5 0 1 0 0 14 24 32 1.00417796305839
+5 0 1 0 0 15 24 32 0.986468826888606
+5 0 1 0 0 16 24 32 0.925605568805206
+5 0 1 0 0 17 24 32 0.82428615281685
+5 0 1 0 0 18 24 32 0.686941525962099
+5 0 1 0 0 19 24 32 0.519574237906154
+5 0 1 0 0 20 24 32 0.329498927423106
+5 0 1 0 0 21 24 32 0.125024562073891
+5 0 1 0 0 22 24 32 -0.0848731635837398
+5 0 1 0 0 23 24 32 -0.290713651913031
+5 0 1 0 0 24 24 32 -0.482787348513168
+5 0 1 0 0 25 24 32 -0.653557210620063
+5 0 1 0 0 26 24 32 -0.800187819057899
+5 0 1 0 0 27 24 32 -0.911380784170363
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0.614439157066009
+6 0 1 0 0 10 24 32 0.769203306466397
+6 0 1 0 0 11 24 32 0.882826807377174
+6 0 1 0 0 12 24 32 0.963271550017567
+6 0 1 0 0 13 24 32 1.00158540239154
+6 0 1 0 0 14 24 32 0.994518524549506
+6 0 1 0 0 15 24 32 0.943159787969351
+6 0 1 0 0 16 24 32 0.850425584120471
+6 0 1 0 0 17 24 32 0.720506319350464
+6 0 1 0 0 18 24 32 0.559097022756457
+6 0 1 0 0 19 24 32 0.373252387032199
+6 0 1 0 0 20 24 32 0.171095037486866
+6 0 1 0 0 21 24 32 -0.038525603219239
+6 0 1 0 0 22 24 32 -0.246317111828456
+6 0 1 0 0 23 24 32 -0.442686116524806
+6 0 1 0 0 24 24 32 -0.618856563193422
+6 0 1 0 0 25 24 32 -0.769471078122875
+6 0 1 0 0 26 24 32 -0.892799032802381
+6 0 1 0 0 27 24 32 -0.97359043198872
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -0.960394143709719
+6 0 0 0 0 2 24 32 -0.741330545888005
+6 0 0 0 0 4 24 32 -0.394089275247676
+6 0 0 0 0 6 24 32 0.0212925130965714
+6 0 0 0 0 8 24 32 0.432992529355839
+6 0 0 0 0 10 24 32 0.769203306466397
+6 0 0 0 0 12 24 32 0.963271550017567
+6 0 0 0 0 14 24 32 0.994518524549506
+6 0 0 0 0 16 24 32 0.850425584120471
+6 0 0 0 0 18 24 32 0.559097022756457
+6 0 0 0 0 20 24 32 0.171095037486866
+6 0 0 0 0 22 24 32 -0.246317111828456
+6 0 0 0 0 24 24 32 -0.618856563193422
+6 0 0 0 0 26 24 32 -0.892799032802381
+6 0 0 0 0 28 24 32 -1.01353452867359
+6 0 0 0 0 30 24 32 -0.960394143709719
+6 0 0 0 0 32 24 32 -0.741330545888005
+6 0 0 0 0 34 24 32 -0.394089275247676
+6 0 0 0 0 36 24 32 0.0212925130965714
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0.734007524637474
+7 0 1 0 0 10 24 32 0.863454547318619
+7 0 1 0 0 11 24 32 0.947853450601777
+7 0 1 0 0 12 24 32 0.994056094065728
+7 0 1 0 0 13 24 32 0.998409312383396
+7 0 1 0 0 14 24 32 0.95803768277199
+7 0 1 0 0 15 24 32 0.874541989226871
+7 0 1 0 0 16 24 32 0.752432267833976
+7 0 1 0 0 17 24 32 0.59736945074431
+7 0 1 0 0 18 24 32 0.416193834802808
+7 0 1 0 0 19 24 32 0.216828137063443
+7 0 1 0 0 20 24 32 0.00799032939460007
+7 0 1 0 0 21 24 32 -0.201137668902723
+7 0 1 0 0 22 24 32 -0.401136013189419
+7 0 1 0 0 23 24 32 -0.582753209719398
+7 0 1 0 0 24 24 32 -0.738954621445043
+7 0 1 0 0 25 24 32 -0.865983972665617
+7 0 1 0 0 26 24 32 -0.959806929156074
+7 0 1 0 0 27 24 32 -1.00885296391085
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0.837411170029675
+8 0 1 0 0 10 24 32 0.937618018197816
+8 0 1 0 0 11 24 32 0.988129324085734
+8 0 1 0 0 12 24 32 0.998789899733392
+8 0 1 0 0 13 24 32 0.968290002722119
+8 0 1 0 0 14 24 32 0.895592804004182
+8 0 1 0 0 15 24 32 0.782368309431253
+8 0 1 0 0 16 24 32 0.63421484799924
+8 0 1 0 0 17 24 32 0.45815217528184
+8 0 1 0 0 18 24 32 0.262042272320862
+8 0 1 0 0 19 24 32 0.0544787366164644
+8 0 1 0 0 20 24 32 -0.155444018035805
+8 0 1 0 0 21 24 32 -0.358412206518363
+8 0 1 0 0 22 24 32 -0.545146532818707
+8 0 1 0 0 23 24 32 -0.707397951880253
+8 0 1 0 0 24 24 32 -0.84025087795899
+8 0 1 0 0 25 24 32 -0.94032718672566
+8 0 1 0 0 26 24 32 -1.00395120275757
+8 0 1 0 0 27 24 32 -1.01910528543138
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -0.8085066394976
+8 0 0 0 0 2 24 32 -0.486629747149949
+8 0 0 0 0 4 24 32 -0.0806678629718418
+8 0 0 0 0 6 24 32 0.339237851347302
+8 0 0 0 0 8 24 32 0.700328479747652
+8 0 0 0 0 10 24 32 0.937618018197816
+8 0 0 0 0 12 24 32 0.998789899733392
+8 0 0 0 0 14 24 32 0.895592804004182
+8 0 0 0 0 16 24 32 0.63421484799924
+8 0 0 0 0 18 24 32 0.262042272320862
+8 0 0 0 0 20 24 32 -0.155444018035805
+8 0 0 0 0 22 24 32 -0.545146532818707
+8 0 0 0 0 24 24 32 -0.84025087795899
+8 0 0 0 0 26 24 32 -1.00395120275757
+8 0 0 0 0 28 24 32 -0.991160282126949
+8 0 0 0 0 30 24 32 -0.8085066394976
+8 0 0 0 0 32 24 32 -0.486629747149949
+8 0 0 0 0 34 24 32 -0.0806678629718418
+8 0 0 0 0 36 24 32 0.339237851347302
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0.916264451032182
+9 0 1 0 0 10 24 32 0.98473491208664
+9 0 1 0 0 11 24 32 1.00234698629464
+9 0 1 0 0 12 24 32 0.977485064066745
+9 0 1 0 0 13 24 32 0.912314149773892
+9 0 1 0 0 14 24 32 0.808816505475619
+9 0 1 0 0 15 24 32 0.669000784972291
+9 0 1 0 0 16 24 32 0.498887266683285
+9 0 1 0 0 17 24 32 0.30655978601306
+9 0 1 0 0 18 24 32 0.100756549426802
+9 0 1 0 0 19 24 32 -0.109453031983445
+9 0 1 0 0 20 24 32 -0.314810073433634
+9 0 1 0 0 21 24 32 -0.506083981397203
+9 0 1 0 0 22 24 32 -0.674550734966743
+9 0 1 0 0 23 24 32 -0.813628195635974
+9 0 1 0 0 24 24 32 -0.920170396486228
+9 0 1 0 0 25 24 32 -0.990385985340258
+9 0 1 0 0 26 24 32 -1.02054422205392
+9 0 1 0 0 27 24 32 -1.00237407110785
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0.972835496017379
+10 0 1 0 0 10 24 32 1.00712483132421
+10 0 1 0 0 11 24 32 0.989888493259871
+10 0 1 0 0 12 24 32 0.930671892628557
+10 0 1 0 0 13 24 32 0.832291829794555
+10 0 1 0 0 14 24 32 0.7001279503601
+10 0 1 0 0 15 24 32 0.53738199033601
+10 0 1 0 0 16 24 32 0.350000456095482
+10 0 1 0 0 17 24 32 0.146622260733039
+10 0 1 0 0 18 24 32 -0.0633551654643206
+10 0 1 0 0 19 24 32 -0.270570844530548
+10 0 1 0 0 20 24 32 -0.465801101162555
+10 0 1 0 0 21 24 32 -0.64017419181324
+10 0 1 0 0 22 24 32 -0.786070670270571
+10 0 1 0 0 23 24 32 -0.898931692391917
+10 0 1 0 0 24 24 32 -0.976540508577688
+10 0 1 0 0 25 24 32 -1.01461587908286
+10 0 1 0 0 26 24 32 -1.01114853089612
+10 0 1 0 0 27 24 32 -0.959128278524199
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -0.572331237670604
+10 0 0 0 0 2 24 32 -0.180366306587196
+10 0 0 0 0 4 24 32 0.242554219596502
+10 0 0 0 0 6 24 32 0.62346117580123
+10 0 0 0 0 8 24 32 0.89564163498311
+10 0 0 0 0 10 24 32 1.00712483132421
+10 0 0 0 0 12 24 32 0.930671892628557
+10 0 0 0 0 14 24 32 0.7001279503601
+10 0 0 0 0 16 24 32 0.350000456095482
+10 0 0 0 0 18 24 32 -0.0633551654643206
+10 0 0 0 0 20 24 32 -0.465801101162555
+10 0 0 0 0 22 24 32 -0.786070670270571
+10 0 0 0 0 24 24 32 -0.976540508577688
+10 0 0 0 0 26 24 32 -1.01114853089612
+10 0 0 0 0 28 24 32 -0.866402255715228
+10 0 0 0 0 30 24 32 -0.572331237670604
+10 0 0 0 0 32 24 32 -0.180366306587196
+10 0 0 0 0 34 24 32 0.242554219596502
+10 0 0 0 0 36 24 32 0.62346117580123
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 1.00243826516336
+11 0 1 0 0 10 24 32 1.00204877162343
+11 0 1 0 0 11 24 32 0.951001673949086
+11 0 1 0 0 12 24 32 0.859352448445633
+11 0 1 0 0 13 24 32 0.73056783527921
+11 0 1 0 0 14 24 32 0.572662108454845
+11 0 1 0 0 15 24 32 0.391008853821031
+11 0 1 0 0 16 24 32 0.191456148119327
+11 0 1 0 0 17 24 32 -0.017419025387685
+11 0 1 0 0 18 24 32 -0.225906363046108
+11 0 1 0 0 19 24 32 -0.424539425828107
+11 0 1 0 0 20 24 32 -0.604331062565083
+11 0 1 0 0 21 24 32 -0.757143752323149
+11 0 1 0 0 22 24 32 -0.877007957018409
+11 0 1 0 0 23 24 32 -0.961224315041564
+11 0 1 0 0 24 24 32 -1.00765333215931
+11 0 1 0 0 25 24 32 -1.01228462612842
+11 0 1 0 0 26 24 32 -0.975311334985965
+11 0 1 0 0 27 24 32 -0.891813333946268
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 1.00606245627754
+12 0 1 0 0 10 24 32 0.970419734413349
+12 0 1 0 0 11 24 32 0.886714370520184
+12 0 1 0 0 12 24 32 0.765185230315774
+12 0 1 0 0 13 24 32 0.609871671017348
+12 0 1 0 0 14 24 32 0.430108878083889
+12 0 1 0 0 15 24 32 0.233882023670298
+12 0 1 0 0 16 24 32 0.0274302056579764
+12 0 1 0 0 17 24 32 -0.181225785694131
+12 0 1 0 0 18 24 32 -0.382550922995875
+12 0 1 0 0 19 24 32 -0.567204067693505
+12 0 1 0 0 20 24 32 -0.726674463518231
+12 0 1 0 0 21 24 32 -0.854016782226061
+12 0 1 0 0 22 24 32 -0.945230323639739
+12 0 1 0 0 23 24 32 -0.998844869883566
+12 0 1 0 0 24 24 32 -1.01246121426532
+12 0 1 0 0 25 24 32 -0.983400176183279
+12 0 1 0 0 26 24 32 -0.913183565756195
+12 0 1 0 0 27 24 32 -0.799267512335489
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -0.276044676099917
+12 0 0 0 0 2 24 32 0.145922688920947
+12 0 0 0 0 4 24 32 0.542119596588092
+12 0 0 0 0 6 24 32 0.844154962138886
+12 0 0 0 0 8 24 32 0.997612705021853
+12 0 0 0 0 10 24 32 0.970419734413349
+12 0 0 0 0 12 24 32 0.765185230315774
+12 0 0 0 0 14 24 32 0.430108878083889
+12 0 0 0 0 16 24 32 0.0274302056579764
+12 0 0 0 0 18 24 32 -0.382550922995875
+12 0 0 0 0 20 24 32 -0.726674463518231
+12 0 0 0 0 22 24 32 -0.945230323639739
+12 0 0 0 0 24 24 32 -1.01246121426532
+12 0 0 0 0 26 24 32 -0.913183565756195
+12 0 0 0 0 28 24 32 -0.651416939849578
+12 0 0 0 0 30 24 32 -0.276044676099917
+12 0 0 0 0 32 24 32 0.145922688920947
+12 0 0 0 0 34 24 32 0.542119596588092
+12 0 0 0 0 36 24 32 0.844154962138886
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/phi.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/phi.yl
new file mode 100644
index 000000000..0f4a48c59
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/phi.yl
@@ -0,0 +1,622 @@
+# SPACETIMETOY::phi y (phi)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -4.82375099065957e-15
+0 0 1 0 0 18 14 32 0.142314838273281
+0 0 1 0 0 18 15 32 0.281732556841426
+0 0 1 0 0 18 16 32 0.415415013001883
+0 0 1 0 0 18 17 32 0.540640817455595
+0 0 1 0 0 18 18 32 0.654860733945283
+0 0 1 0 0 18 19 32 0.755749574354257
+0 0 1 0 0 18 20 32 0.84125353283118
+0 0 1 0 0 18 21 32 0.909631995354518
+0 0 1 0 0 18 22 32 0.959492973614497
+0 0 1 0 0 18 23 32 0.989821441880933
+0 0 1 0 0 18 24 32 1
+0 0 1 0 0 18 25 32 0.989821441880933
+0 0 1 0 0 18 26 32 0.959492973614497
+0 0 1 0 0 18 27 32 0.909631995354518
+0 0 1 0 0 18 28 32 0.84125353283118
+0 0 1 0 0 18 29 32 0.755749574354257
+0 0 1 0 0 18 30 32 0.654860733945283
+0 0 1 0 0 18 31 32 0.540640817455595
+0 0 1 0 0 18 32 32 0.415415013001883
+0 0 1 0 0 18 33 32 0.281732556841426
+0 0 1 0 0 18 34 32 0.142314838273281
+0 0 1 0 0 18 35 32 -5.0457955955846e-15
+0 0 1 0 0 18 36 32 -0.142314838273291
+0 0 1 0 0 18 37 32 -0.281732556841435
+0 0 1 0 0 18 38 32 -0.415415013001892
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -0.959492973614494
+0 0 0 0 0 18 2 32 -1
+0 0 0 0 0 18 4 32 -0.9594929736145
+0 0 0 0 0 18 6 32 -0.841253532831185
+0 0 0 0 0 18 8 32 -0.65486073394529
+0 0 0 0 0 18 10 32 -0.415415013001892
+0 0 0 0 0 18 12 32 -0.142314838273291
+0 0 0 0 0 18 14 32 0.142314838273281
+0 0 0 0 0 18 16 32 0.415415013001883
+0 0 0 0 0 18 18 32 0.654860733945283
+0 0 0 0 0 18 20 32 0.84125353283118
+0 0 0 0 0 18 22 32 0.959492973614497
+0 0 0 0 0 18 24 32 1
+0 0 0 0 0 18 26 32 0.959492973614497
+0 0 0 0 0 18 28 32 0.84125353283118
+0 0 0 0 0 18 30 32 0.654860733945283
+0 0 0 0 0 18 32 32 0.415415013001883
+0 0 0 0 0 18 34 32 0.142314838273281
+0 0 0 0 0 18 36 32 -0.142314838273291
+0 0 0 0 0 18 38 32 -0.415415013001892
+0 0 0 0 0 18 40 32 -0.65486073394529
+0 0 0 0 0 18 42 32 -0.841253532831186
+0 0 0 0 0 18 44 32 -0.9594929736145
+0 0 0 0 0 18 46 32 -1
+0 0 0 0 0 18 48 32 -0.959492973614494
+0 0 0 0 0 18 50 32 -0.841253532831175
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0.160358235959828
+1 0 1 0 0 18 14 32 0.299581626544918
+1 0 1 0 0 18 15 32 0.434549540234976
+1 0 1 0 0 18 16 32 0.558779189110921
+1 0 1 0 0 18 17 32 0.671277041777681
+1 0 1 0 0 18 18 32 0.770109629676982
+1 0 1 0 0 18 19 32 0.853265006328841
+1 0 1 0 0 18 20 32 0.919050368064931
+1 0 1 0 0 18 21 32 0.966126514629624
+1 0 1 0 0 18 22 32 0.993535111435256
+1 0 1 0 0 18 23 32 1.00071819849073
+1 0 1 0 0 18 24 32 0.987529548857919
+1 0 1 0 0 18 25 32 0.95423764541041
+1 0 1 0 0 18 26 32 0.901520215296478
+1 0 1 0 0 18 27 32 0.830450433368727
+1 0 1 0 0 18 28 32 0.74247507543888
+1 0 1 0 0 18 29 32 0.639385066094406
+1 0 1 0 0 18 30 32 0.52327902063852
+1 0 1 0 0 18 31 32 0.396520523334519
+1 0 1 0 0 18 32 32 0.261690011646191
+1 0 1 0 0 18 33 32 0.121532245972423
+1 0 1 0 0 18 34 32 -0.0210995657592878
+1 0 1 0 0 18 35 32 -0.163301851178262
+1 0 1 0 0 18 36 32 -0.301772714736952
+1 0 1 0 0 18 37 32 -0.432614546884287
+1 0 1 0 0 18 38 32 -0.556973343530279
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0.319996970631104
+2 0 1 0 0 18 14 32 0.452605387467959
+2 0 1 0 0 18 15 32 0.57534674906452
+2 0 1 0 0 18 16 32 0.687246539936373
+2 0 1 0 0 18 17 32 0.784062445136151
+2 0 1 0 0 18 18 32 0.864852084197256
+2 0 1 0 0 18 19 32 0.92803536472328
+2 0 1 0 0 18 20 32 0.972326521456532
+2 0 1 0 0 18 21 32 0.996823914171073
+2 0 1 0 0 18 22 32 1.00102884659588
+2 0 1 0 0 18 23 32 0.98485571843281
+2 0 1 0 0 18 24 32 0.948633767931811
+2 0 1 0 0 18 25 32 0.893100369549605
+2 0 1 0 0 18 26 32 0.819386023132156
+2 0 1 0 0 18 27 32 0.728991340197903
+2 0 1 0 0 18 28 32 0.623756495814648
+2 0 1 0 0 18 29 32 0.505823767941802
+2 0 1 0 0 18 30 32 0.377593926828954
+2 0 1 0 0 18 31 32 0.241677362256836
+2 0 1 0 0 18 32 32 0.100840943529129
+2 0 1 0 0 18 33 32 -0.042048306007564
+2 0 1 0 0 18 34 32 -0.184082265526062
+2 0 1 0 0 18 35 32 -0.322298671506764
+2 0 1 0 0 18 36 32 -0.452859702635545
+2 0 1 0 0 18 37 32 -0.575861294217702
+2 0 1 0 0 18 38 32 -0.687570913094681
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 -1.00584815568965
+2 0 0 0 0 18 2 32 -0.954338021485401
+2 0 0 0 0 18 4 32 -0.825513096447167
+2 0 0 0 0 18 6 32 -0.629810009850201
+2 0 0 0 0 18 8 32 -0.383083461879522
+2 0 0 0 0 18 10 32 -0.105321770112437
+2 0 0 0 0 18 12 32 0.180972465096474
+2 0 0 0 0 18 14 32 0.452605387467959
+2 0 0 0 0 18 16 32 0.687246539936373
+2 0 0 0 0 18 18 32 0.864852084197256
+2 0 0 0 0 18 20 32 0.972326521456532
+2 0 0 0 0 18 22 32 1.00102884659588
+2 0 0 0 0 18 24 32 0.948633767931811
+2 0 0 0 0 18 26 32 0.819386023132156
+2 0 0 0 0 18 28 32 0.623756495814648
+2 0 0 0 0 18 30 32 0.377593926828954
+2 0 0 0 0 18 32 32 0.100840943529129
+2 0 0 0 0 18 34 32 -0.184082265526062
+2 0 0 0 0 18 36 32 -0.452859702635545
+2 0 0 0 0 18 38 32 -0.687570913094681
+2 0 0 0 0 18 40 32 -0.866833532484134
+2 0 0 0 0 18 42 32 -0.975870454329239
+2 0 0 0 0 18 44 32 -1.00584815568965
+2 0 0 0 0 18 46 32 -0.954338021485401
+2 0 0 0 0 18 48 32 -0.825513096447167
+2 0 0 0 0 18 50 32 -0.629810009850201
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0.46813951623463
+3 0 1 0 0 18 14 32 0.590661715018447
+3 0 1 0 0 18 15 32 0.700594684399588
+3 0 1 0 0 18 16 32 0.797174611091504
+3 0 1 0 0 18 17 32 0.875942358838678
+3 0 1 0 0 18 18 32 0.936537373498937
+3 0 1 0 0 18 19 32 0.978042189029456
+3 0 1 0 0 18 20 32 0.999637047292684
+3 0 1 0 0 18 21 32 1.00088216348422
+3 0 1 0 0 18 22 32 0.981752205133032
+3 0 1 0 0 18 23 32 0.942636603024906
+3 0 1 0 0 18 24 32 0.884331638018682
+3 0 1 0 0 18 25 32 0.808024231064251
+3 0 1 0 0 18 26 32 0.715267780914816
+3 0 1 0 0 18 27 32 0.607950541407905
+3 0 1 0 0 18 28 32 0.488257182062517
+3 0 1 0 0 18 29 32 0.358624314507778
+3 0 1 0 0 18 30 32 0.221690890096783
+3 0 1 0 0 18 31 32 0.080244478467152
+3 0 1 0 0 18 32 32 -0.0628355009704413
+3 0 1 0 0 18 33 32 -0.204636632652744
+3 0 1 0 0 18 34 32 -0.342248946700516
+3 0 1 0 0 18 35 32 -0.472558243030585
+3 0 1 0 0 18 36 32 -0.591914764980281
+3 0 1 0 0 18 37 32 -0.700854745124278
+3 0 1 0 0 18 38 32 -0.797387258475241
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0.608337555385349
+4 0 1 0 0 18 14 32 0.717325411204366
+4 0 1 0 0 18 15 32 0.807320413995893
+4 0 1 0 0 18 16 32 0.885549376525864
+4 0 1 0 0 18 17 32 0.944368207049884
+4 0 1 0 0 18 18 32 0.983222348236532
+4 0 1 0 0 18 19 32 1.00192764578764
+4 0 1 0 0 18 20 32 1.00023041776448
+4 0 1 0 0 18 21 32 0.978171130840535
+4 0 1 0 0 18 22 32 0.936199126568136
+4 0 1 0 0 18 23 32 0.875168807400897
+4 0 1 0 0 18 24 32 0.79632257509341
+4 0 1 0 0 18 25 32 0.701265511561695
+4 0 1 0 0 18 26 32 0.591932704497323
+4 0 1 0 0 18 27 32 0.470549854562346
+4 0 1 0 0 18 28 32 0.339587966542206
+4 0 1 0 0 18 29 32 0.201713046814095
+4 0 1 0 0 18 30 32 0.0597318304692302
+4 0 1 0 0 18 31 32 -0.0834653907681874
+4 0 1 0 0 18 32 32 -0.224963502948646
+4 0 1 0 0 18 33 32 -0.36187602218172
+4 0 1 0 0 18 34 32 -0.491294488856639
+4 0 1 0 0 18 35 32 -0.610046040472676
+4 0 1 0 0 18 36 32 -0.715479661836213
+4 0 1 0 0 18 37 32 -0.811222326673775
+4 0 1 0 0 18 38 32 -0.88969586741191
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 -0.948239023203024
+4 0 0 0 0 18 2 32 -0.809627151455661
+4 0 0 0 0 18 4 32 -0.605424102935438
+4 0 0 0 0 18 6 32 -0.352173194191161
+4 0 0 0 0 18 8 32 -0.0703913077081443
+4 0 0 0 0 18 10 32 0.21709326389216
+4 0 0 0 0 18 12 32 0.486986217469506
+4 0 0 0 0 18 14 32 0.717325411204366
+4 0 0 0 0 18 16 32 0.885549376525864
+4 0 0 0 0 18 18 32 0.983222348236532
+4 0 0 0 0 18 20 32 1.00023041776448
+4 0 0 0 0 18 22 32 0.936199126568136
+4 0 0 0 0 18 24 32 0.79632257509341
+4 0 0 0 0 18 26 32 0.591932704497323
+4 0 0 0 0 18 28 32 0.339587966542206
+4 0 0 0 0 18 30 32 0.0597318304692302
+4 0 0 0 0 18 32 32 -0.224963502948646
+4 0 0 0 0 18 34 32 -0.491294488856639
+4 0 0 0 0 18 36 32 -0.715479661836213
+4 0 0 0 0 18 38 32 -0.88969586741191
+4 0 0 0 0 18 40 32 -0.989989362434214
+4 0 0 0 0 18 42 32 -1.01003020868509
+4 0 0 0 0 18 44 32 -0.948239023203024
+4 0 0 0 0 18 46 32 -0.809627151455661
+4 0 0 0 0 18 48 32 -0.605424102935438
+4 0 0 0 0 18 50 32 -0.352173194191161
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0.729428012049965
+5 0 1 0 0 18 14 32 0.821979987245674
+5 0 1 0 0 18 15 32 0.893107088497236
+5 0 1 0 0 18 16 32 0.950045697665872
+5 0 1 0 0 18 17 32 0.98738915140879
+5 0 1 0 0 18 18 32 1.00360848636382
+5 0 1 0 0 18 19 32 0.99902934683416
+5 0 1 0 0 18 20 32 0.974069165665178
+5 0 1 0 0 18 21 32 0.929276643223
+5 0 1 0 0 18 22 32 0.865566835350495
+5 0 1 0 0 18 23 32 0.784236577659036
+5 0 1 0 0 18 24 32 0.686941525962099
+5 0 1 0 0 18 25 32 0.575662325737298
+5 0 1 0 0 18 26 32 0.452664300656245
+5 0 1 0 0 18 27 32 0.320451335765835
+5 0 1 0 0 18 28 32 0.181714905788351
+5 0 1 0 0 18 29 32 0.0392792827130951
+5 0 1 0 0 18 30 32 -0.103955963811062
+5 0 1 0 0 18 31 32 -0.245075137412052
+5 0 1 0 0 18 32 32 -0.381202930350569
+5 0 1 0 0 18 33 32 -0.509527595780882
+5 0 1 0 0 18 34 32 -0.627142248477283
+5 0 1 0 0 18 35 32 -0.731184956869906
+5 0 1 0 0 18 36 32 -0.820679988376309
+5 0 1 0 0 18 37 32 -0.897050646693696
+5 0 1 0 0 18 38 32 -0.956447705394319
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0.834793527911887
+6 0 1 0 0 18 14 32 0.908164272735719
+6 0 1 0 0 18 15 32 0.955808095167599
+6 0 1 0 0 18 16 32 0.989256648419681
+6 0 1 0 0 18 17 32 1.00377842251518
+6 0 1 0 0 18 18 32 0.997068655378468
+6 0 1 0 0 18 19 32 0.969391930787083
+6 0 1 0 0 18 20 32 0.92183077296331
+6 0 1 0 0 18 21 32 0.855485382706401
+6 0 1 0 0 18 22 32 0.771724390708785
+6 0 1 0 0 18 23 32 0.672253270102132
+6 0 1 0 0 18 24 32 0.559097022756457
+6 0 1 0 0 18 25 32 0.434559171878328
+6 0 1 0 0 18 26 32 0.301174949725517
+6 0 1 0 0 18 27 32 0.161659673766484
+6 0 1 0 0 18 28 32 0.0188534727962077
+6 0 1 0 0 18 29 32 -0.1243365462794
+6 0 1 0 0 18 30 32 -0.264995464729543
+6 0 1 0 0 18 31 32 -0.400259638588016
+6 0 1 0 0 18 32 32 -0.5273590632849
+6 0 1 0 0 18 33 32 -0.643579880978188
+6 0 1 0 0 18 34 32 -0.746128068787305
+6 0 1 0 0 18 35 32 -0.833069979161024
+6 0 1 0 0 18 36 32 -0.904715524722623
+6 0 1 0 0 18 37 32 -0.96340973018128
+6 0 1 0 0 18 38 32 -1.00032578392592
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 -0.792149323120694
+6 0 0 0 0 18 2 32 -0.580392969675618
+6 0 0 0 0 18 4 32 -0.321616461085254
+6 0 0 0 0 18 6 32 -0.0367844995445034
+6 0 0 0 0 18 8 32 0.251027397980824
+6 0 0 0 0 18 10 32 0.518502787331275
+6 0 0 0 0 18 12 32 0.743942784487113
+6 0 0 0 0 18 14 32 0.908164272735719
+6 0 0 0 0 18 16 32 0.989256648419681
+6 0 0 0 0 18 18 32 0.997068655378468
+6 0 0 0 0 18 20 32 0.92183077296331
+6 0 0 0 0 18 22 32 0.771724390708785
+6 0 0 0 0 18 24 32 0.559097022756457
+6 0 0 0 0 18 26 32 0.301174949725517
+6 0 0 0 0 18 28 32 0.0188534727962077
+6 0 0 0 0 18 30 32 -0.264995464729543
+6 0 0 0 0 18 32 32 -0.5273590632849
+6 0 0 0 0 18 34 32 -0.746128068787305
+6 0 0 0 0 18 36 32 -0.904715524722623
+6 0 0 0 0 18 38 32 -1.00032578392592
+6 0 0 0 0 18 40 32 -1.01116762962688
+6 0 0 0 0 18 42 32 -0.939727031058961
+6 0 0 0 0 18 44 32 -0.792149323120694
+6 0 0 0 0 18 46 32 -0.580392969675618
+6 0 0 0 0 18 48 32 -0.321616461085254
+6 0 0 0 0 18 50 32 -0.0367844995445034
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0.915800091639793
+7 0 1 0 0 18 14 32 0.967969557328174
+7 0 1 0 0 18 15 32 0.9937180058364
+7 0 1 0 0 18 16 32 1.00244309294703
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+7 0 1 0 0 18 18 32 0.963684332126832
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+7 0 1 0 0 18 21 32 0.75875081065031
+7 0 1 0 0 18 22 32 0.657163232858742
+7 0 1 0 0 18 23 32 0.542197297316205
+7 0 1 0 0 18 24 32 0.416193834802808
+7 0 1 0 0 18 25 32 0.281717863613557
+7 0 1 0 0 18 26 32 0.141506930882713
+7 0 1 0 0 18 27 32 -0.00158467706983469
+7 0 1 0 0 18 28 32 -0.144644028294892
+7 0 1 0 0 18 29 32 -0.284758912542192
+7 0 1 0 0 18 30 32 -0.419076769285249
+7 0 1 0 0 18 31 32 -0.544858850337675
+7 0 1 0 0 18 32 32 -0.659487365855313
+7 0 1 0 0 18 33 32 -0.760382125424962
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+7 0 1 0 0 18 35 32 -0.913253104868527
+7 0 1 0 0 18 36 32 -0.965457618487479
+7 0 1 0 0 18 37 32 -1.00131582520198
+7 0 1 0 0 18 38 32 -1.01684917115256
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0.974819776500273
+8 0 1 0 0 18 14 32 1.00403207780515
+8 0 1 0 0 18 15 32 1.005573363856
+8 0 1 0 0 18 16 32 0.989514540095062
+8 0 1 0 0 18 17 32 0.955997740032038
+8 0 1 0 0 18 18 32 0.904295778103886
+8 0 1 0 0 18 19 32 0.833544698849492
+8 0 1 0 0 18 20 32 0.745264380238262
+8 0 1 0 0 18 21 32 0.641640425744825
+8 0 1 0 0 18 22 32 0.524930969378088
+8 0 1 0 0 18 23 32 0.397532901027534
+8 0 1 0 0 18 24 32 0.262042272320862
+8 0 1 0 0 18 25 32 0.121217207915981
+8 0 1 0 0 18 26 32 -0.0220754824774091
+8 0 1 0 0 18 27 32 -0.164918788823528
+8 0 1 0 0 18 28 32 -0.304404836960364
+8 0 1 0 0 18 29 32 -0.437694213963794
+8 0 1 0 0 18 30 32 -0.562071502149825
+8 0 1 0 0 18 31 32 -0.67498443109665
+8 0 1 0 0 18 32 32 -0.774001324611492
+8 0 1 0 0 18 33 32 -0.856794070583389
+8 0 1 0 0 18 34 32 -0.921843542691794
+8 0 1 0 0 18 35 32 -0.969829480090522
+8 0 1 0 0 18 36 32 -1.00110849831126
+8 0 1 0 0 18 37 32 -1.0167763554429
+8 0 1 0 0 18 38 32 -1.00751151102563
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -0.553289490532418
+8 0 0 0 0 18 2 32 -0.289985031402294
+8 0 0 0 0 18 4 32 -0.00318695042513925
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+8 0 0 0 0 18 8 32 0.54792821900447
+8 0 0 0 0 18 10 32 0.767587463312596
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+8 0 0 0 0 18 14 32 1.00403207780515
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+8 0 0 0 0 18 20 32 0.745264380238262
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+8 0 0 0 0 18 24 32 0.262042272320862
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+8 0 0 0 0 18 28 32 -0.304404836960364
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+8 0 0 0 0 18 32 32 -0.774001324611492
+8 0 0 0 0 18 34 32 -0.921843542691794
+8 0 0 0 0 18 36 32 -1.00110849831126
+8 0 0 0 0 18 38 32 -1.00751151102563
+8 0 0 0 0 18 40 32 -0.92762318288427
+8 0 0 0 0 18 42 32 -0.771753649559605
+8 0 0 0 0 18 44 32 -0.553289490532418
+8 0 0 0 0 18 46 32 -0.289985031402294
+8 0 0 0 0 18 48 32 -0.00318695042513925
+8 0 0 0 0 18 50 32 0.283869571675403
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 1.00680012508695
+9 0 1 0 0 18 14 32 1.01235133439578
+9 0 1 0 0 18 15 32 0.990852831019204
+9 0 1 0 0 18 16 32 0.950817176180507
+9 0 1 0 0 18 17 32 0.893580674103498
+9 0 1 0 0 18 18 32 0.820534253506978
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+9 0 1 0 0 18 20 32 0.625581395716628
+9 0 1 0 0 18 21 32 0.507265014914495
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+9 0 1 0 0 18 23 32 0.242117837015033
+9 0 1 0 0 18 24 32 0.100756549426802
+9 0 1 0 0 18 25 32 -0.0426559129416909
+9 0 1 0 0 18 26 32 -0.185200003128889
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+9 0 1 0 0 18 30 32 -0.690141126456156
+9 0 1 0 0 18 31 32 -0.787120485001722
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+9 0 1 0 0 18 33 32 -0.930313702258018
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+9 0 1 0 0 18 35 32 -1.00129548818552
+9 0 1 0 0 18 36 32 -1.01075192066796
+9 0 1 0 0 18 37 32 -1.00225811276899
+9 0 1 0 0 18 38 32 -0.971892329024561
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 1.01288663046795
+10 0 1 0 0 18 14 32 0.994260827023683
+10 0 1 0 0 18 15 32 0.949779006897009
+10 0 1 0 0 18 16 32 0.887238304700375
+10 0 1 0 0 18 17 32 0.807795574391698
+10 0 1 0 0 18 18 32 0.714796603414685
+10 0 1 0 0 18 19 32 0.60832340276572
+10 0 1 0 0 18 20 32 0.48898436909799
+10 0 1 0 0 18 21 32 0.359191942195671
+10 0 1 0 0 18 22 32 0.221922056058956
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+10 0 1 0 0 18 24 32 -0.0633551654643206
+10 0 1 0 0 18 25 32 -0.205521235049372
+10 0 1 0 0 18 26 32 -0.343503437586168
+10 0 1 0 0 18 27 32 -0.474492978742105
+10 0 1 0 0 18 28 32 -0.595823063888566
+10 0 1 0 0 18 29 32 -0.705021285856587
+10 0 1 0 0 18 30 32 -0.799836894310712
+10 0 1 0 0 18 31 32 -0.87822219530489
+10 0 1 0 0 18 32 32 -0.93833303449363
+10 0 1 0 0 18 33 32 -0.979147843779692
+10 0 1 0 0 18 34 32 -1.0015201077444
+10 0 1 0 0 18 35 32 -1.0067796718605
+10 0 1 0 0 18 36 32 -0.993973463526416
+10 0 1 0 0 18 37 32 -0.964759049231625
+10 0 1 0 0 18 38 32 -0.91013178332288
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -0.256017336781036
+10 0 0 0 0 18 2 32 0.0317998880159133
+10 0 0 0 0 18 4 32 0.317043032568678
+10 0 0 0 0 18 6 32 0.576602765975818
+10 0 0 0 0 18 8 32 0.789446025387801
+10 0 0 0 0 18 10 32 0.938231631670066
+10 0 0 0 0 18 12 32 1.00987790417303
+10 0 0 0 0 18 14 32 0.994260827023683
+10 0 0 0 0 18 16 32 0.887238304700375
+10 0 0 0 0 18 18 32 0.714796603414685
+10 0 0 0 0 18 20 32 0.48898436909799
+10 0 0 0 0 18 22 32 0.221922056058956
+10 0 0 0 0 18 24 32 -0.0633551654643206
+10 0 0 0 0 18 26 32 -0.343503437586168
+10 0 0 0 0 18 28 32 -0.595823063888566
+10 0 0 0 0 18 30 32 -0.799836894310712
+10 0 0 0 0 18 32 32 -0.93833303449363
+10 0 0 0 0 18 34 32 -1.0015201077444
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+10 0 0 0 0 18 38 32 -0.91013178332288
+10 0 0 0 0 18 40 32 -0.747410019216883
+10 0 0 0 0 18 42 32 -0.523034684964416
+10 0 0 0 0 18 44 32 -0.256017336781036
+10 0 0 0 0 18 46 32 0.0317998880159133
+10 0 0 0 0 18 48 32 0.317043032568678
+10 0 0 0 0 18 50 32 0.576602765975818
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0.992284402526612
+11 0 1 0 0 18 14 32 0.9501828996889
+11 0 1 0 0 18 15 32 0.883417055351147
+11 0 1 0 0 18 16 32 0.800227026803123
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+11 0 1 0 0 18 18 32 0.590140166051141
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+11 0 1 0 0 18 21 32 0.201346970893204
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+11 0 1 0 0 18 24 32 -0.225906363046108
+11 0 1 0 0 18 25 32 -0.363022769151646
+11 0 1 0 0 18 26 32 -0.492749035748168
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+11 0 1 0 0 18 28 32 -0.719671155632367
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+11 0 1 0 0 18 30 32 -0.888191592576007
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+11 0 1 0 0 18 32 32 -0.983808662191774
+11 0 1 0 0 18 33 32 -1.00221583824443
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+11 0 1 0 0 18 36 32 -0.951243182411701
+11 0 1 0 0 18 37 32 -0.89911113622225
+11 0 1 0 0 18 38 32 -0.82585377431424
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0.944664763090144
+12 0 1 0 0 18 14 32 0.879976771058083
+12 0 1 0 0 18 15 32 0.793558194669847
+12 0 1 0 0 18 16 32 0.691903484725089
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+12 0 1 0 0 18 28 32 -0.824373834591265
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+12 0 1 0 0 18 37 32 -0.8122132547252
+12 0 1 0 0 18 38 32 -0.717850335200756
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0.0691497794320822
+12 0 0 0 0 18 2 32 0.351774096765351
+12 0 0 0 0 18 4 32 0.605909730493229
+12 0 0 0 0 18 6 32 0.810962271492352
+12 0 0 0 0 18 8 32 0.950283314341387
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+12 0 0 0 0 18 34 32 -0.977807825075328
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+12 0 0 0 0 18 42 32 -0.218912594103011
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+12 0 0 0 0 18 46 32 0.351774096765351
+12 0 0 0 0 18 48 32 0.605909730493229
+12 0 0 0 0 18 50 32 0.810962271492352
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/phi.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/phi.zl
new file mode 100644
index 000000000..ece25362e
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/phi.zl
@@ -0,0 +1,782 @@
+# SPACETIMETOY::phi z (phi)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -1
+0 0 1 0 0 18 24 18 -0.978147600733805
+0 0 1 0 0 18 24 19 -0.9135454576426
+0 0 1 0 0 18 24 20 -0.809016994374946
+0 0 1 0 0 18 24 21 -0.669130606358856
+0 0 1 0 0 18 24 22 -0.499999999999998
+0 0 1 0 0 18 24 23 -0.309016994374945
+0 0 1 0 0 18 24 24 -0.104528463267652
+0 0 1 0 0 18 24 25 0.104528463267655
+0 0 1 0 0 18 24 26 0.309016994374949
+0 0 1 0 0 18 24 27 0.500000000000001
+0 0 1 0 0 18 24 28 0.669130606358859
+0 0 1 0 0 18 24 29 0.809016994374948
+0 0 1 0 0 18 24 30 0.913545457642601
+0 0 1 0 0 18 24 31 0.978147600733806
+0 0 1 0 0 18 24 32 1
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+0 0 1 0 0 18 24 34 0.913545457642601
+0 0 1 0 0 18 24 35 0.809016994374948
+0 0 1 0 0 18 24 36 0.669130606358859
+0 0 1 0 0 18 24 37 0.500000000000001
+0 0 1 0 0 18 24 38 0.309016994374949
+0 0 1 0 0 18 24 39 0.104528463267655
+0 0 1 0 0 18 24 40 -0.104528463267652
+0 0 1 0 0 18 24 41 -0.309016994374945
+0 0 1 0 0 18 24 42 -0.499999999999998
+0 0 1 0 0 18 24 43 -0.669130606358856
+0 0 1 0 0 18 24 44 -0.809016994374946
+0 0 1 0 0 18 24 45 -0.9135454576426
+0 0 1 0 0 18 24 46 -0.978147600733805
+0 0 1 0 0 18 24 47 -1
+0 0 1 0 0 18 24 48 -0.978147600733806
+0 0 1 0 0 18 24 49 -0.913545457642603
+0 0 1 0 0 18 24 50 -0.80901699437495
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 0.913545457642604
+0 0 0 0 0 18 24 2 1
+0 0 0 0 0 18 24 4 0.913545457642598
+0 0 0 0 0 18 24 6 0.669130606358854
+0 0 0 0 0 18 24 8 0.309016994374942
+0 0 0 0 0 18 24 10 -0.104528463267659
+0 0 0 0 0 18 24 12 -0.500000000000004
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+0 0 0 0 0 18 24 22 -0.499999999999998
+0 0 0 0 0 18 24 24 -0.104528463267652
+0 0 0 0 0 18 24 26 0.309016994374949
+0 0 0 0 0 18 24 28 0.669130606358859
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+0 0 0 0 0 18 24 32 1
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+0 0 0 0 0 18 24 36 0.669130606358859
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+0 0 0 0 0 18 24 40 -0.104528463267652
+0 0 0 0 0 18 24 42 -0.499999999999998
+0 0 0 0 0 18 24 44 -0.809016994374946
+0 0 0 0 0 18 24 46 -0.978147600733805
+0 0 0 0 0 18 24 48 -0.978147600733806
+0 0 0 0 0 18 24 50 -0.80901699437495
+0 0 0 0 0 18 24 52 -0.500000000000003
+0 0 0 0 0 18 24 54 -0.104528463267659
+0 0 0 0 0 18 24 56 0.309016994374942
+0 0 0 0 0 18 24 58 0.669130606358854
+0 0 0 0 0 18 24 60 0.913545457642598
+0 0 0 0 0 18 24 62 1
+0 0 0 0 0 18 24 64 0.913545457642604
+0 0 0 0 0 18 24 66 0.669130606358864
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -0.988870028237692
+1 0 1 0 0 18 24 18 -0.934603612066528
+1 0 1 0 0 18 24 19 -0.835078198743969
+1 0 1 0 0 18 24 20 -0.702941767678839
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+1 0 1 0 0 18 24 24 0.0591823203774327
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+1 0 1 0 0 18 24 27 0.635188326034357
+1 0 1 0 0 18 24 28 0.782143171518591
+1 0 1 0 0 18 24 29 0.894914607268121
+1 0 1 0 0 18 24 30 0.968573980403307
+1 0 1 0 0 18 24 31 0.999902022861252
+1 0 1 0 0 18 24 32 0.987529548857919
+1 0 1 0 0 18 24 33 0.931997294876969
+1 0 1 0 0 18 24 34 0.83573228689069
+1 0 1 0 0 18 24 35 0.702941767678842
+1 0 1 0 0 18 24 36 0.539429320130588
+1 0 1 0 0 18 24 37 0.352341222823564
+1 0 1 0 0 18 24 38 0.14985412335838
+1 0 1 0 0 18 24 39 -0.0591823203774294
+1 0 1 0 0 18 24 40 -0.265632212724464
+1 0 1 0 0 18 24 41 -0.460472702730663
+1 0 1 0 0 18 24 42 -0.635188326034354
+1 0 1 0 0 18 24 43 -0.782143171518589
+1 0 1 0 0 18 24 44 -0.89491460726812
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+1 0 1 0 0 18 24 46 -0.999902022861252
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+1 0 1 0 0 18 24 48 -0.931531107769479
+1 0 1 0 0 18 24 49 -0.838190434630994
+1 0 1 0 0 18 24 50 -0.706311124055716
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -0.953659417035636
+2 0 1 0 0 18 24 18 -0.866942029029302
+2 0 1 0 0 18 24 19 -0.735180953877213
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+2 0 1 0 0 18 24 29 0.956943684726482
+2 0 1 0 0 18 24 30 0.997738732485158
+2 0 1 0 0 18 24 31 0.994927809952609
+2 0 1 0 0 18 24 32 0.948633767931811
+2 0 1 0 0 18 24 33 0.860879878202533
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+2 0 1 0 0 18 24 35 0.577977994663069
+2 0 1 0 0 18 24 36 0.39519417067741
+2 0 1 0 0 18 24 37 0.195138465081121
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+2 0 1 0 0 18 24 41 -0.599733639275198
+2 0 1 0 0 18 24 42 -0.75349530285069
+2 0 1 0 0 18 24 43 -0.874325606019992
+2 0 1 0 0 18 24 44 -0.956943684726481
+2 0 1 0 0 18 24 45 -0.997738732485157
+2 0 1 0 0 18 24 46 -0.994929811469388
+2 0 1 0 0 18 24 47 -0.948602288659925
+2 0 1 0 0 18 24 48 -0.860878979886561
+2 0 1 0 0 18 24 49 -0.741129137586217
+2 0 1 0 0 18 24 50 -0.583957042337678
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 1.00200581931202
+2 0 0 0 0 18 24 2 0.954338021485405
+2 0 0 0 0 18 24 4 0.741656509855213
+2 0 0 0 0 18 24 6 0.400735849933188
+2 0 0 0 0 18 24 8 -0.00947567901319146
+2 0 0 0 0 18 24 10 -0.418048776974349
+2 0 0 0 0 18 24 12 -0.75433744354273
+2 0 0 0 0 18 24 14 -0.960194313182038
+2 0 0 0 0 18 24 16 -1.00002486298069
+2 0 0 0 0 18 24 18 -0.866942029029302
+2 0 0 0 0 18 24 20 -0.577922792552809
+2 0 0 0 0 18 24 22 -0.195138465081117
+2 0 0 0 0 18 24 24 0.221442277890659
+2 0 0 0 0 18 24 26 0.599733639275201
+2 0 0 0 0 18 24 28 0.874325606019993
+2 0 0 0 0 18 24 30 0.997738732485158
+2 0 0 0 0 18 24 32 0.948633767931811
+2 0 0 0 0 18 24 34 0.735501406835825
+2 0 0 0 0 18 24 36 0.39519417067741
+2 0 0 0 0 18 24 38 -0.0134457278174593
+2 0 0 0 0 18 24 40 -0.419760737822087
+2 0 0 0 0 18 24 42 -0.75349530285069
+2 0 0 0 0 18 24 44 -0.956943684726481
+2 0 0 0 0 18 24 46 -0.994929811469388
+2 0 0 0 0 18 24 48 -0.860878979886561
+2 0 0 0 0 18 24 50 -0.583957042337678
+2 0 0 0 0 18 24 52 -0.200000577942681
+2 0 0 0 0 18 24 54 0.218537803326814
+2 0 0 0 0 18 24 56 0.599289013047488
+2 0 0 0 0 18 24 58 0.876417708042487
+2 0 0 0 0 18 24 60 1.00200581931202
+2 0 0 0 0 18 24 62 0.954338021485405
+2 0 0 0 0 18 24 64 0.741656509855213
+2 0 0 0 0 18 24 66 0.400735849933188
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -0.893985552941931
+3 0 1 0 0 18 24 18 -0.777164989569858
+3 0 1 0 0 18 24 19 -0.617080427917447
+3 0 1 0 0 18 24 20 -0.437445246984023
+3 0 1 0 0 18 24 21 -0.240248908818112
+3 0 1 0 0 18 24 22 -0.0325887872513774
+3 0 1 0 0 18 24 23 0.176517937388158
+3 0 1 0 0 18 24 24 0.377910004914413
+3 0 1 0 0 18 24 25 0.562785659196532
+3 0 1 0 0 18 24 26 0.723064879626549
+3 0 1 0 0 18 24 27 0.851742695166642
+3 0 1 0 0 18 24 28 0.943195267813043
+3 0 1 0 0 18 24 29 0.993425681302972
+3 0 1 0 0 18 24 30 1.00023862553465
+3 0 1 0 0 18 24 31 0.963336342153031
+3 0 1 0 0 18 24 32 0.884331638018682
+3 0 1 0 0 18 24 33 0.766677397808908
+3 0 1 0 0 18 24 34 0.615515676388561
+3 0 1 0 0 18 24 35 0.437452966338124
+3 0 1 0 0 18 24 36 0.240271462526484
+3 0 1 0 0 18 24 37 0.0325889428520417
+3 0 1 0 0 18 24 38 -0.176517870004133
+3 0 1 0 0 18 24 39 -0.37791000491441
+3 0 1 0 0 18 24 40 -0.562785659196529
+3 0 1 0 0 18 24 41 -0.723064879626547
+3 0 1 0 0 18 24 42 -0.85174269516664
+3 0 1 0 0 18 24 43 -0.943195267813042
+3 0 1 0 0 18 24 44 -0.993425743850371
+3 0 1 0 0 18 24 45 -1.00023912114366
+3 0 1 0 0 18 24 46 -0.963331205888917
+3 0 1 0 0 18 24 47 -0.884405119523794
+3 0 1 0 0 18 24 48 -0.768380260829214
+3 0 1 0 0 18 24 49 -0.623039060167588
+3 0 1 0 0 18 24 50 -0.448115110576738
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -0.808984668060322
+4 0 1 0 0 18 24 18 -0.664605114372286
+4 0 1 0 0 18 24 19 -0.483882950839065
+4 0 1 0 0 18 24 20 -0.285684140192612
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+4 0 1 0 0 18 24 22 0.130968649203781
+4 0 1 0 0 18 24 23 0.33500070579311
+4 0 1 0 0 18 24 24 0.524395467613931
+4 0 1 0 0 18 24 25 0.690872259484279
+4 0 1 0 0 18 24 26 0.827154574637892
+4 0 1 0 0 18 24 27 0.927286267857563
+4 0 1 0 0 18 24 28 0.986891101558669
+4 0 1 0 0 18 24 29 1.00336405849275
+4 0 1 0 0 18 24 30 0.975985191395758
+4 0 1 0 0 18 24 31 0.905951088138224
+4 0 1 0 0 18 24 32 0.79632257509341
+4 0 1 0 0 18 24 33 0.651890944337345
+4 0 1 0 0 18 24 34 0.478968551193929
+4 0 1 0 0 18 24 35 0.285112934017232
+4 0 1 0 0 18 24 36 0.0787965135003331
+4 0 1 0 0 18 24 37 -0.130963692764152
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+4 0 1 0 0 18 24 39 -0.524395507298816
+4 0 1 0 0 18 24 40 -0.690872257378526
+4 0 1 0 0 18 24 41 -0.82715457463789
+4 0 1 0 0 18 24 42 -0.927286269812168
+4 0 1 0 0 18 24 43 -0.986891158121093
+4 0 1 0 0 18 24 44 -1.00336439565696
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+4 0 1 0 0 18 24 46 -0.905966374046641
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+4 0 1 0 0 18 24 48 -0.656296286035414
+4 0 1 0 0 18 24 49 -0.489661887355412
+4 0 1 0 0 18 24 50 -0.296731874987596
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 0.987091761793154
+4 0 0 0 0 18 24 2 0.809627151455666
+4 0 0 0 0 18 24 4 0.492170651399723
+4 0 0 0 0 18 24 6 0.089613374486772
+4 0 0 0 0 18 24 8 -0.32843886898689
+4 0 0 0 0 18 24 10 -0.689701048239266
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+4 0 0 0 0 18 24 20 -0.285684140192612
+4 0 0 0 0 18 24 22 0.130968649203781
+4 0 0 0 0 18 24 24 0.524395467613931
+4 0 0 0 0 18 24 26 0.827154574637892
+4 0 0 0 0 18 24 28 0.986891101558669
+4 0 0 0 0 18 24 30 0.975985191395758
+4 0 0 0 0 18 24 32 0.79632257509341
+4 0 0 0 0 18 24 34 0.478968551193929
+4 0 0 0 0 18 24 36 0.0787965135003331
+4 0 0 0 0 18 24 38 -0.335000157221322
+4 0 0 0 0 18 24 40 -0.690872257378526
+4 0 0 0 0 18 24 42 -0.927286269812168
+4 0 0 0 0 18 24 44 -1.00336439565696
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+4 0 0 0 0 18 24 50 -0.296731874987596
+4 0 0 0 0 18 24 52 0.122063253464683
+4 0 0 0 0 18 24 54 0.520442884316401
+4 0 0 0 0 18 24 56 0.828815966801241
+4 0 0 0 0 18 24 58 0.993879239069469
+4 0 0 0 0 18 24 60 0.987091761793154
+4 0 0 0 0 18 24 62 0.809627151455666
+4 0 0 0 0 18 24 64 0.492170651399723
+4 0 0 0 0 18 24 66 0.089613374486772
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -0.704732372960808
+5 0 1 0 0 18 24 18 -0.536671015599151
+5 0 1 0 0 18 24 19 -0.338589004979513
+5 0 1 0 0 18 24 20 -0.1271990369282
+5 0 1 0 0 18 24 21 0.0847806705807276
+5 0 1 0 0 18 24 22 0.291157169378327
+5 0 1 0 0 18 24 23 0.484652584680026
+5 0 1 0 0 18 24 24 0.656972283481054
+5 0 1 0 0 18 24 25 0.800582306064033
+5 0 1 0 0 18 24 26 0.909202882816512
+5 0 1 0 0 18 24 27 0.978086952556276
+5 0 1 0 0 18 24 28 1.00422392687597
+5 0 1 0 0 18 24 29 0.986471496840433
+5 0 1 0 0 18 24 30 0.925605528816329
+5 0 1 0 0 18 24 31 0.824286157574478
+5 0 1 0 0 18 24 32 0.686941525962099
+5 0 1 0 0 18 24 33 0.519574253259243
+5 0 1 0 0 18 24 34 0.329499092601176
+5 0 1 0 0 18 24 35 0.125023240371577
+5 0 1 0 0 18 24 36 -0.0849167272757722
+5 0 1 0 0 18 24 37 -0.291145426576816
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+5 0 1 0 0 18 24 39 -0.656972404296912
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+5 0 1 0 0 18 24 42 -0.978086980730989
+5 0 1 0 0 18 24 43 -1.0042242292894
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+5 0 1 0 0 18 24 49 -0.343350748886303
+5 0 1 0 0 18 24 50 -0.140762289927094
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -0.578655794871017
+6 0 1 0 0 18 24 18 -0.390893155862932
+6 0 1 0 0 18 24 19 -0.184324292814369
+6 0 1 0 0 18 24 20 0.0335731180590735
+6 0 1 0 0 18 24 21 0.245690896876329
+6 0 1 0 0 18 24 22 0.443637803530655
+6 0 1 0 0 18 24 23 0.62146368314812
+6 0 1 0 0 18 24 24 0.772083361350395
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+6 0 1 0 0 18 24 26 0.966997279341114
+6 0 1 0 0 18 24 27 1.00276588723827
+6 0 1 0 0 18 24 28 0.994708796020637
+6 0 1 0 0 18 24 29 0.943178158445414
+6 0 1 0 0 18 24 30 0.850426109543344
+6 0 1 0 0 18 24 31 0.720506358391929
+6 0 1 0 0 18 24 32 0.559097022756457
+6 0 1 0 0 18 24 33 0.37325246337976
+6 0 1 0 0 18 24 34 0.171094981497982
+6 0 1 0 0 18 24 35 -0.0385401734429475
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+6 0 1 0 0 18 24 39 -0.772083177745896
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+6 0 1 0 0 18 24 41 -0.966997318835917
+6 0 1 0 0 18 24 42 -1.00276603091954
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+6 0 1 0 0 18 24 44 -0.943181094673828
+6 0 1 0 0 18 24 45 -0.850495572913758
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+6 0 1 0 0 18 24 48 -0.384398648517992
+6 0 1 0 0 18 24 49 -0.187445577006294
+6 0 1 0 0 18 24 50 0.0234452960570468
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 0.869869087008815
+6 0 0 0 0 18 24 2 0.58039296967562
+6 0 0 0 0 18 24 4 0.190561635180908
+6 0 0 0 0 18 24 6 -0.232219537234689
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+6 0 0 0 0 18 24 12 -1.013389102921
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+6 0 0 0 0 18 24 20 0.0335731180590735
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+6 0 0 0 0 18 24 24 0.772083361350395
+6 0 0 0 0 18 24 26 0.966997279341114
+6 0 0 0 0 18 24 28 0.994708796020637
+6 0 0 0 0 18 24 30 0.850426109543344
+6 0 0 0 0 18 24 32 0.559097022756457
+6 0 0 0 0 18 24 34 0.171094981497982
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+6 0 0 0 0 18 24 40 -0.888966283667988
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+6 0 0 0 0 18 24 50 0.0234452960570468
+6 0 0 0 0 18 24 52 0.433177684597774
+6 0 0 0 0 18 24 54 0.76983633445302
+6 0 0 0 0 18 24 56 0.97354988518036
+6 0 0 0 0 18 24 58 1.00893693668562
+6 0 0 0 0 18 24 60 0.869869087008815
+6 0 0 0 0 18 24 62 0.58039296967562
+6 0 0 0 0 18 24 64 0.190561635180908
+6 0 0 0 0 18 24 66 -0.232219537234689
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -0.440249026236034
+7 0 1 0 0 18 24 18 -0.238113422178414
+7 0 1 0 0 18 24 19 -0.0246119022157033
+7 0 1 0 0 18 24 20 0.192531580256115
+7 0 1 0 0 18 24 21 0.399286407414527
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+7 0 1 0 0 18 24 24 0.86663609000566
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+7 0 1 0 0 18 24 27 1.00064185118672
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+7 0 1 0 0 18 24 29 0.8746207667527
+7 0 1 0 0 18 24 30 0.752437862021131
+7 0 1 0 0 18 24 31 0.597369810462565
+7 0 1 0 0 18 24 32 0.416193834802808
+7 0 1 0 0 18 24 33 0.216828187049082
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+7 0 1 0 0 18 24 37 -0.584448014164912
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+7 0 1 0 0 18 24 49 -0.0267989174891922
+7 0 1 0 0 18 24 50 0.183346284369072
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -0.28612815677996
+8 0 1 0 0 18 24 18 -0.0747178522073342
+8 0 1 0 0 18 24 19 0.136472503590183
+8 0 1 0 0 18 24 20 0.346056820049388
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+8 0 1 0 0 18 24 24 0.938080621575119
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+8 0 1 0 0 18 24 26 1.00425173278162
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+8 0 1 0 0 18 24 28 0.896778187711806
+8 0 1 0 0 18 24 29 0.782612794456684
+8 0 1 0 0 18 24 30 0.634243460882459
+8 0 1 0 0 18 24 31 0.458154640807093
+8 0 1 0 0 18 24 32 0.262042272320862
+8 0 1 0 0 18 24 33 0.0544773878342683
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+8 0 1 0 0 18 24 40 -0.992863003601512
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+8 0 1 0 0 18 24 42 -0.971751355024226
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+8 0 1 0 0 18 24 48 -0.0712602475539812
+8 0 1 0 0 18 24 49 0.136228094167313
+8 0 1 0 0 18 24 50 0.343122207874234
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 0.662006434974289
+8 0 0 0 0 18 24 2 0.289985254463522
+8 0 0 0 0 18 24 4 -0.132177027818718
+8 0 0 0 0 18 24 6 -0.531484701200502
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+8 0 0 0 0 18 24 20 0.346056820049388
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+8 0 0 0 0 18 24 24 0.938080621575119
+8 0 0 0 0 18 24 26 1.00425173278162
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+8 0 0 0 0 18 24 32 0.262042272320862
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+8 0 0 0 0 18 24 50 0.343122207874234
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+8 0 0 0 0 18 24 54 0.94071053359689
+8 0 0 0 0 18 24 56 1.01811364830634
+8 0 0 0 0 18 24 58 0.919560915104869
+8 0 0 0 0 18 24 60 0.662006434974289
+8 0 0 0 0 18 24 62 0.289985254463522
+8 0 0 0 0 18 24 64 -0.132177027818718
+8 0 0 0 0 18 24 66 -0.531484701200502
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -0.128289356196222
+9 0 1 0 0 18 24 18 0.0863538548533454
+9 0 1 0 0 18 24 19 0.294493070967235
+9 0 1 0 0 18 24 20 0.490643142814206
+9 0 1 0 0 18 24 21 0.667908704152439
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+9 0 1 0 0 18 24 30 0.49898823564763
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+9 0 1 0 0 18 24 42 -0.916846808768016
+9 0 1 0 0 18 24 43 -0.810989104970499
+9 0 1 0 0 18 24 44 -0.670009751282567
+9 0 1 0 0 18 24 45 -0.501181238769893
+9 0 1 0 0 18 24 46 -0.313548976767126
+9 0 1 0 0 18 24 47 -0.11435958317462
+9 0 1 0 0 18 24 48 0.0909655285922612
+9 0 1 0 0 18 24 49 0.294620077323985
+9 0 1 0 0 18 24 50 0.490225330410856
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 0.037330979427938
+10 0 1 0 0 18 24 18 0.249414932069279
+10 0 1 0 0 18 24 19 0.444887364909108
+10 0 1 0 0 18 24 20 0.622849502300821
+10 0 1 0 0 18 24 21 0.776319807818289
+10 0 1 0 0 18 24 22 0.895997525324407
+10 0 1 0 0 18 24 23 0.972821680110668
+10 0 1 0 0 18 24 24 1.00445929480201
+10 0 1 0 0 18 24 25 0.991358260603489
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+10 0 1 0 0 18 24 27 0.837366538167785
+10 0 1 0 0 18 24 28 0.703342121606898
+10 0 1 0 0 18 24 29 0.538578558249337
+10 0 1 0 0 18 24 30 0.350276495517132
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+10 0 1 0 0 18 24 33 -0.270607091775774
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+10 0 1 0 0 18 24 39 -1.00461084010972
+10 0 1 0 0 18 24 40 -0.991366360730773
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+10 0 1 0 0 18 24 42 -0.837386220481858
+10 0 1 0 0 18 24 43 -0.703516578304781
+10 0 1 0 0 18 24 44 -0.539642327887459
+10 0 1 0 0 18 24 45 -0.354395825688844
+10 0 1 0 0 18 24 46 -0.156676953760979
+10 0 1 0 0 18 24 47 0.0474248193027585
+10 0 1 0 0 18 24 48 0.251246761993718
+10 0 1 0 0 18 24 49 0.448007151145583
+10 0 1 0 0 18 24 50 0.628838230699496
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 0.384616959138271
+10 0 0 0 0 18 24 2 -0.0317984338276698
+10 0 0 0 0 18 24 4 -0.442715765468297
+10 0 0 0 0 18 24 6 -0.777083517364817
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+10 0 0 0 0 18 24 10 -1.008143166506
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+10 0 0 0 0 18 24 18 0.249414932069279
+10 0 0 0 0 18 24 20 0.622849502300821
+10 0 0 0 0 18 24 22 0.895997525324407
+10 0 0 0 0 18 24 24 1.00445929480201
+10 0 0 0 0 18 24 26 0.934793498182724
+10 0 0 0 0 18 24 28 0.703342121606898
+10 0 0 0 0 18 24 30 0.350276495517132
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+10 0 0 0 0 18 24 36 -0.788127932399224
+10 0 0 0 0 18 24 38 -0.9739492574858
+10 0 0 0 0 18 24 40 -0.991366360730773
+10 0 0 0 0 18 24 42 -0.837386220481858
+10 0 0 0 0 18 24 44 -0.539642327887459
+10 0 0 0 0 18 24 46 -0.156676953760979
+10 0 0 0 0 18 24 48 0.251246761993718
+10 0 0 0 0 18 24 50 0.628838230699496
+10 0 0 0 0 18 24 52 0.898767882442793
+10 0 0 0 0 18 24 54 1.01514761628396
+10 0 0 0 0 18 24 56 0.957452045058122
+10 0 0 0 0 18 24 58 0.734530495287201
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+10 0 0 0 0 18 24 64 -0.442715765468297
+10 0 0 0 0 18 24 66 -0.777083517364817
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 0.19770117493606
+11 0 1 0 0 18 24 18 0.401450815594976
+11 0 1 0 0 18 24 19 0.583387523789913
+11 0 1 0 0 18 24 20 0.739094798866122
+11 0 1 0 0 18 24 21 0.864145415528984
+11 0 1 0 0 18 24 22 0.953583131940421
+11 0 1 0 0 18 24 23 0.998985451663703
+11 0 1 0 0 18 24 24 0.997383157874553
+11 0 1 0 0 18 24 25 0.950593856380919
+11 0 1 0 0 18 24 26 0.861870408443761
+11 0 1 0 0 18 24 27 0.735430724269685
+11 0 1 0 0 18 24 28 0.57684523327606
+11 0 1 0 0 18 24 29 0.393049336055301
+11 0 1 0 0 18 24 30 0.192075253101953
+11 0 1 0 0 18 24 31 -0.0172934967678688
+11 0 1 0 0 18 24 32 -0.225906363046108
+11 0 1 0 0 18 24 33 -0.424646116851612
+11 0 1 0 0 18 24 34 -0.604826723033298
+11 0 1 0 0 18 24 35 -0.75857356543497
+11 0 1 0 0 18 24 36 -0.879167049412912
+11 0 1 0 0 18 24 37 -0.961336764420504
+11 0 1 0 0 18 24 38 -1.00149146180685
+11 0 1 0 0 18 24 39 -0.997876406455632
+11 0 1 0 0 18 24 40 -0.950650136613388
+11 0 1 0 0 18 24 41 -0.8618826322421
+11 0 1 0 0 18 24 42 -0.735503469665822
+11 0 1 0 0 18 24 43 -0.577337015827387
+11 0 1 0 0 18 24 44 -0.395288823301001
+11 0 1 0 0 18 24 45 -0.198712311647301
+11 0 1 0 0 18 24 46 0.00444452676192031
+11 0 1 0 0 18 24 47 0.208504716500525
+11 0 1 0 0 18 24 48 0.405448419579354
+11 0 1 0 0 18 24 49 0.58731112087803
+11 0 1 0 0 18 24 50 0.747770452441265
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 0.357155214561391
+12 0 1 0 0 18 24 18 0.546799693378934
+12 0 1 0 0 18 24 19 0.706148059220439
+12 0 1 0 0 18 24 20 0.836043459504233
+12 0 1 0 0 18 24 21 0.929461718593576
+12 0 1 0 0 18 24 22 0.985213899652279
+12 0 1 0 0 18 24 23 0.997642450325463
+12 0 1 0 0 18 24 24 0.963221388741687
+12 0 1 0 0 18 24 25 0.884270990948836
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+12 0 1 0 0 18 24 28 0.43481900591363
+12 0 1 0 0 18 24 29 0.236889835984931
+12 0 1 0 0 18 24 30 0.0286073377702091
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+12 0 1 0 0 18 24 32 -0.382550922995875
+12 0 1 0 0 18 24 33 -0.567457143478022
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+12 0 1 0 0 18 24 37 -0.996295729590678
+12 0 1 0 0 18 24 38 -1.00227642570918
+12 0 1 0 0 18 24 39 -0.964453345379771
+12 0 1 0 0 18 24 40 -0.884481790288207
+12 0 1 0 0 18 24 41 -0.76587832203121
+12 0 1 0 0 18 24 42 -0.613965488467182
+12 0 1 0 0 18 24 43 -0.435960569171135
+12 0 1 0 0 18 24 44 -0.240911130722976
+12 0 1 0 0 18 24 45 -0.0380502699655833
+12 0 1 0 0 18 24 46 0.165857031111604
+12 0 1 0 0 18 24 47 0.364649737888489
+12 0 1 0 0 18 24 48 0.549410617858529
+12 0 1 0 0 18 24 49 0.714823876952109
+12 0 1 0 0 18 24 50 0.850752147735793
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 0.0661161781518089
+12 0 0 0 0 18 24 2 -0.351768763968264
+12 0 0 0 0 18 24 4 -0.708830246750823
+12 0 0 0 0 18 24 6 -0.94332853509216
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+12 0 0 0 0 18 24 20 0.836043459504233
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+12 0 0 0 0 18 24 26 0.765825834818103
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+12 0 0 0 0 18 24 54 0.985152099376247
+12 0 0 0 0 18 24 56 0.797429331912402
+12 0 0 0 0 18 24 58 0.472580681405503
+12 0 0 0 0 18 24 60 0.0661161781518089
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+12 0 0 0 0 18 24 64 -0.708830246750823
+12 0 0 0 0 18 24 66 -0.94332853509216
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/psi.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/psi.xl
new file mode 100644
index 000000000..64d02af59
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/psi.xl
@@ -0,0 +1,482 @@
+# SPACETIMETOY::psi x (psi)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 1.35143337062181
+0 0 1 0 0 10 24 32 1.19458556555896
+0 0 1 0 0 11 24 32 0.985528639023651
+0 0 1 0 0 12 24 32 0.733399381871916
+0 0 1 0 0 13 24 32 0.449217052491691
+0 0 1 0 0 14 24 32 0.145401782335003
+0 0 1 0 0 15 24 32 -0.164768243424887
+0 0 1 0 0 16 24 32 -0.467737106301357
+0 0 1 0 0 17 24 32 -0.750263613180803
+0 0 1 0 0 18 24 32 -1
+0 0 1 0 0 19 24 32 -1.20603158828681
+0 0 1 0 0 20 24 32 -1.35935380898385
+0 0 1 0 0 21 24 32 -1.45326574532501
+0 0 1 0 0 22 24 32 -1.48366299505272
+0 0 1 0 0 23 24 32 -1.44921705249169
+0 0 1 0 0 24 24 32 -1.35143337062181
+0 0 1 0 0 25 24 32 -1.19458556555896
+0 0 1 0 0 26 24 32 -0.985528639023654
+0 0 1 0 0 27 24 32 -0.73339938187192
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 0.164768243424892
+0 0 0 0 0 2 24 32 0.750263613180806
+0 0 0 0 0 4 24 32 1.20603158828681
+0 0 0 0 0 6 24 32 1.45326574532501
+0 0 0 0 0 8 24 32 1.44921705249169
+0 0 0 0 0 10 24 32 1.19458556555896
+0 0 0 0 0 12 24 32 0.733399381871916
+0 0 0 0 0 14 24 32 0.145401782335003
+0 0 0 0 0 16 24 32 -0.467737106301357
+0 0 0 0 0 18 24 32 -1
+0 0 0 0 0 20 24 32 -1.35935380898385
+0 0 0 0 0 22 24 32 -1.48366299505272
+0 0 0 0 0 24 24 32 -1.35143337062181
+0 0 0 0 0 26 24 32 -0.985528639023654
+0 0 0 0 0 28 24 32 -0.449217052491695
+0 0 0 0 0 30 24 32 0.164768243424883
+0 0 0 0 0 32 24 32 0.750263613180799
+0 0 0 0 0 34 24 32 1.20603158828681
+0 0 0 0 0 36 24 32 1.45326574532501
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 1.23399339880012
+1 0 1 0 0 10 24 32 1.03738278264386
+1 0 1 0 0 11 24 32 0.787410311611829
+1 0 1 0 0 12 24 32 0.513013085656585
+1 0 1 0 0 13 24 32 0.21245021563713
+1 0 1 0 0 14 24 32 -0.0973977482549096
+1 0 1 0 0 15 24 32 -0.402988963181958
+1 0 1 0 0 16 24 32 -0.690967626662363
+1 0 1 0 0 17 24 32 -0.948747689227088
+1 0 1 0 0 18 24 32 -1.16506292517607
+1 0 1 0 0 19 24 32 -1.33045932070268
+1 0 1 0 0 20 24 32 -1.43770825966244
+1 0 1 0 0 21 24 32 -1.4821224487853
+1 0 1 0 0 22 24 32 -1.46176077488367
+1 0 1 0 0 23 24 32 -1.3775131408132
+1 0 1 0 0 24 24 32 -1.23306157244778
+1 0 1 0 0 25 24 32 -1.03199797397437
+1 0 1 0 0 26 24 32 -0.794555476619004
+1 0 1 0 0 27 24 32 -0.516634656957241
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 1.08161237285783
+2 0 1 0 0 10 24 32 0.848764189368141
+2 0 1 0 0 11 24 32 0.567542713325785
+2 0 1 0 0 12 24 32 0.277996859587937
+2 0 1 0 0 13 24 32 -0.0300621216410823
+2 0 1 0 0 14 24 32 -0.337633636427009
+2 0 1 0 0 15 24 32 -0.630473483331017
+2 0 1 0 0 16 24 32 -0.895758613666028
+2 0 1 0 0 17 24 32 -1.12189479425711
+2 0 1 0 0 18 24 32 -1.29899878889066
+2 0 1 0 0 19 24 32 -1.41933030316192
+2 0 1 0 0 20 24 32 -1.47763027248257
+2 0 1 0 0 21 24 32 -1.47135070843902
+2 0 1 0 0 22 24 32 -1.40076605811265
+2 0 1 0 0 23 24 32 -1.26894172609052
+2 0 1 0 0 24 24 32 -1.08088303053869
+2 0 1 0 0 25 24 32 -0.842911882562314
+2 0 1 0 0 26 24 32 -0.57805128483607
+2 0 1 0 0 27 24 32 -0.281874189476265
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 0.625975468283116
+2 0 0 0 0 2 24 32 1.11748431638202
+2 0 0 0 0 4 24 32 1.41576997415218
+2 0 0 0 0 6 24 32 1.46925614152498
+2 0 0 0 0 8 24 32 1.2686945742551
+2 0 0 0 0 10 24 32 0.848764189368141
+2 0 0 0 0 12 24 32 0.277996859587937
+2 0 0 0 0 14 24 32 -0.337633636427009
+2 0 0 0 0 16 24 32 -0.895758613666028
+2 0 0 0 0 18 24 32 -1.29899878889066
+2 0 0 0 0 20 24 32 -1.47763027248257
+2 0 0 0 0 22 24 32 -1.40076605811265
+2 0 0 0 0 24 24 32 -1.08088303053869
+2 0 0 0 0 26 24 32 -0.57805128483607
+2 0 0 0 0 28 24 32 0.026229774909458
+2 0 0 0 0 30 24 32 0.625975468283116
+2 0 0 0 0 32 24 32 1.11748431638202
+2 0 0 0 0 34 24 32 1.41576997415218
+2 0 0 0 0 36 24 32 1.46925614152498
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0.905170607212473
+3 0 1 0 0 10 24 32 0.642482180838481
+3 0 1 0 0 11 24 32 0.33315036275792
+3 0 1 0 0 12 24 32 0.0344444125248395
+3 0 1 0 0 13 24 32 -0.272133224473534
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+3 0 1 0 0 16 24 32 -1.07663062352307
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+3 0 1 0 0 18 24 32 -1.3982207384901
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+3 0 1 0 0 20 24 32 -1.47804578533556
+3 0 1 0 0 21 24 32 -1.42123229043101
+3 0 1 0 0 22 24 32 -1.30230523990153
+3 0 1 0 0 23 24 32 -1.12618971948756
+3 0 1 0 0 24 24 32 -0.899100772647686
+3 0 1 0 0 25 24 32 -0.633467147597699
+3 0 1 0 0 26 24 32 -0.352836607552289
+3 0 1 0 0 27 24 32 -0.0460608799901398
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0.700211269364124
+4 0 1 0 0 10 24 32 0.413952625352652
+4 0 1 0 0 11 24 32 0.0935166155399704
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+4 0 1 0 0 20 24 32 -1.43893753413062
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+4 0 1 0 0 22 24 32 -1.16894587746215
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+4 0 1 0 0 24 24 32 -0.693219436949501
+4 0 1 0 0 25 24 32 -0.411079452470757
+4 0 1 0 0 26 24 32 -0.113304596808515
+4 0 1 0 0 27 24 32 0.19681411306926
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 1.02259196267718
+4 0 0 0 0 2 24 32 1.36898654314386
+4 0 0 0 0 4 24 32 1.47867091344865
+4 0 0 0 0 6 24 32 1.33267964951465
+4 0 0 0 0 8 24 32 0.956237946787966
+4 0 0 0 0 10 24 32 0.413952625352652
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+4 0 0 0 0 14 24 32 -0.785029659823483
+4 0 0 0 0 16 24 32 -1.22874267200881
+4 0 0 0 0 18 24 32 -1.46006959210509
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+4 0 0 0 0 24 24 32 -0.693219436949501
+4 0 0 0 0 26 24 32 -0.113304596808515
+4 0 0 0 0 28 24 32 0.499250974396097
+4 0 0 0 0 30 24 32 1.02259196267718
+4 0 0 0 0 32 24 32 1.36898654314386
+4 0 0 0 0 34 24 32 1.47867091344865
+4 0 0 0 0 36 24 32 1.33267964951465
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0.481673570490417
+5 0 1 0 0 10 24 32 0.179139669152373
+5 0 1 0 0 11 24 32 -0.145867686178262
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+5 0 1 0 0 13 24 32 -0.730977317169612
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+5 0 1 0 0 17 24 32 -1.4470762318869
+5 0 1 0 0 18 24 32 -1.48288511982603
+5 0 1 0 0 19 24 32 -1.45388522319519
+5 0 1 0 0 20 24 32 -1.36134633586337
+5 0 1 0 0 21 24 32 -1.20929002448939
+5 0 1 0 0 22 24 32 -1.00410317941301
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+5 0 1 0 0 24 24 32 -0.470481854198148
+5 0 1 0 0 25 24 32 -0.180550554852499
+5 0 1 0 0 26 24 32 0.123867904578411
+5 0 1 0 0 27 24 32 0.428462900366367
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0.243841990104748
+6 0 1 0 0 10 24 32 -0.0672780698429291
+6 0 1 0 0 11 24 32 -0.37940765227901
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+6 0 1 0 0 19 24 32 -1.38700226091835
+6 0 1 0 0 20 24 32 -1.24733803801699
+6 0 1 0 0 21 24 32 -1.0530355085467
+6 0 1 0 0 22 24 32 -0.812037042845029
+6 0 1 0 0 23 24 32 -0.533851078540532
+6 0 1 0 0 24 24 32 -0.237867329992346
+6 0 1 0 0 25 24 32 0.0532503731836787
+6 0 1 0 0 26 24 32 0.364239844214103
+6 0 1 0 0 27 24 32 0.655560333009328
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 1.31329299967364
+6 0 0 0 0 2 24 32 1.47854272274267
+6 0 0 0 0 4 24 32 1.38806030271831
+6 0 0 0 0 6 24 32 1.05755523485837
+6 0 0 0 0 8 24 32 0.543969679938152
+6 0 0 0 0 10 24 32 -0.0672780698429291
+6 0 0 0 0 12 24 32 -0.674285384157407
+6 0 0 0 0 14 24 32 -1.15022205887698
+6 0 0 0 0 16 24 32 -1.43127813656857
+6 0 0 0 0 18 24 32 -1.46605069461828
+6 0 0 0 0 20 24 32 -1.24733803801699
+6 0 0 0 0 22 24 32 -0.812037042845029
+6 0 0 0 0 24 24 32 -0.237867329992346
+6 0 0 0 0 26 24 32 0.364239844214103
+6 0 0 0 0 28 24 32 0.920279107340704
+6 0 0 0 0 30 24 32 1.31329299967364
+6 0 0 0 0 32 24 32 1.47854272274267
+6 0 0 0 0 34 24 32 1.38806030271831
+6 0 0 0 0 36 24 32 1.05755523485837
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0.00510278289547676
+7 0 1 0 0 10 24 32 -0.30671725840681
+7 0 1 0 0 11 24 32 -0.603126141714102
+7 0 1 0 0 12 24 32 -0.877843487268539
+7 0 1 0 0 13 24 32 -1.11492155061507
+7 0 1 0 0 14 24 32 -1.28983645819224
+7 0 1 0 0 15 24 32 -1.4134094642609
+7 0 1 0 0 16 24 32 -1.47630685220124
+7 0 1 0 0 17 24 32 -1.47538831068682
+7 0 1 0 0 18 24 32 -1.41001013653018
+7 0 1 0 0 19 24 32 -1.28301871045423
+7 0 1 0 0 20 24 32 -1.09993385951111
+7 0 1 0 0 21 24 32 -0.868396046772753
+7 0 1 0 0 22 24 32 -0.597958780148178
+7 0 1 0 0 23 24 32 -0.301222634202204
+7 0 1 0 0 24 24 32 -0.00189844105682647
+7 0 1 0 0 25 24 32 0.286049300248937
+7 0 1 0 0 26 24 32 0.590144355985391
+7 0 1 0 0 27 24 32 0.860149550115023
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 -0.241221362543923
+8 0 1 0 0 10 24 32 -0.545372340948084
+8 0 1 0 0 11 24 32 -0.812011209390606
+8 0 1 0 0 12 24 32 -1.05593998739885
+8 0 1 0 0 13 24 32 -1.26316141313072
+8 0 1 0 0 14 24 32 -1.39527542977603
+8 0 1 0 0 15 24 32 -1.47040252792029
+8 0 1 0 0 16 24 32 -1.48197047731316
+8 0 1 0 0 17 24 32 -1.4303194940236
+8 0 1 0 0 18 24 32 -1.31625625478743
+8 0 1 0 0 19 24 32 -1.1447009737041
+8 0 1 0 0 20 24 32 -0.923015158678337
+8 0 1 0 0 21 24 32 -0.660221519774161
+8 0 1 0 0 22 24 32 -0.368063900589912
+8 0 1 0 0 23 24 32 -0.0627125565936013
+8 0 1 0 0 24 24 32 0.232319043362925
+8 0 1 0 0 25 24 32 0.512720278294965
+8 0 1 0 0 26 24 32 0.807470395263331
+8 0 1 0 0 27 24 32 1.04857954002941
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 1.46755423646702
+8 0 0 0 0 2 24 32 1.43463212097269
+8 0 0 0 0 4 24 32 1.15319400440017
+8 0 0 0 0 6 24 32 0.672268881871467
+8 0 0 0 0 8 24 32 0.0738379331295328
+8 0 0 0 0 10 24 32 -0.545372340948084
+8 0 0 0 0 12 24 32 -1.05593998739885
+8 0 0 0 0 14 24 32 -1.39527542977603
+8 0 0 0 0 16 24 32 -1.48197047731316
+8 0 0 0 0 18 24 32 -1.31625625478743
+8 0 0 0 0 20 24 32 -0.923015158678337
+8 0 0 0 0 22 24 32 -0.368063900589912
+8 0 0 0 0 24 24 32 0.232319043362925
+8 0 0 0 0 26 24 32 0.807470395263331
+8 0 0 0 0 28 24 32 1.24566629273709
+8 0 0 0 0 30 24 32 1.46755423646702
+8 0 0 0 0 32 24 32 1.43463212097269
+8 0 0 0 0 34 24 32 1.15319400440017
+8 0 0 0 0 36 24 32 0.672268881871467
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 -0.47515222638903
+9 0 1 0 0 10 24 32 -0.763287561236375
+9 0 1 0 0 11 24 32 -1.00069207899426
+9 0 1 0 0 12 24 32 -1.20527987790282
+9 0 1 0 0 13 24 32 -1.37548024376757
+9 0 1 0 0 14 24 32 -1.46295959308401
+9 0 1 0 0 15 24 32 -1.48876559845021
+9 0 1 0 0 16 24 32 -1.44823130598634
+9 0 1 0 0 17 24 32 -1.34707027277011
+9 0 1 0 0 18 24 32 -1.18729147290435
+9 0 1 0 0 19 24 32 -0.975716018124107
+9 0 1 0 0 20 24 32 -0.721232322222219
+9 0 1 0 0 21 24 32 -0.434166569380411
+9 0 1 0 0 22 24 32 -0.129313611850068
+9 0 1 0 0 23 24 32 0.174927384375009
+9 0 1 0 0 24 24 32 0.460092636060202
+9 0 1 0 0 25 24 32 0.727321286310479
+9 0 1 0 0 26 24 32 0.998498753659623
+9 0 1 0 0 27 24 32 1.20507607755103
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 -0.703160394762549
+10 0 1 0 0 10 24 32 -0.967114838015141
+10 0 1 0 0 11 24 32 -1.1637924458615
+10 0 1 0 0 12 24 32 -1.32364356396314
+10 0 1 0 0 13 24 32 -1.44901529240519
+10 0 1 0 0 14 24 32 -1.49013341220886
+10 0 1 0 0 15 24 32 -1.46779891798448
+10 0 1 0 0 16 24 32 -1.37610197625543
+10 0 1 0 0 17 24 32 -1.22795522849366
+10 0 1 0 0 18 24 32 -1.02656230643439
+10 0 1 0 0 19 24 32 -0.780529183683336
+10 0 1 0 0 20 24 32 -0.499942096776432
+10 0 1 0 0 21 24 32 -0.196656949591408
+10 0 1 0 0 22 24 32 0.111079184498894
+10 0 1 0 0 23 24 32 0.405929304429607
+10 0 1 0 0 24 24 32 0.676853595477019
+10 0 1 0 0 25 24 32 0.924185779568047
+10 0 1 0 0 26 24 32 1.16913583397037
+10 0 1 0 0 27 24 32 1.33468419474583
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 1.46907738500863
+10 0 0 0 0 2 24 32 1.2416034862944
+10 0 0 0 0 4 24 32 0.798303750491894
+10 0 0 0 0 6 24 32 0.216453054770803
+10 0 0 0 0 8 24 32 -0.406227883195405
+10 0 0 0 0 10 24 32 -0.967114838015141
+10 0 0 0 0 12 24 32 -1.32364356396314
+10 0 0 0 0 14 24 32 -1.49013341220886
+10 0 0 0 0 16 24 32 -1.37610197625543
+10 0 0 0 0 18 24 32 -1.02656230643439
+10 0 0 0 0 20 24 32 -0.499942096776432
+10 0 0 0 0 22 24 32 0.111079184498894
+10 0 0 0 0 24 24 32 0.676853595477019
+10 0 0 0 0 26 24 32 1.16913583397037
+10 0 0 0 0 28 24 32 1.44225319931961
+10 0 0 0 0 30 24 32 1.46907738500863
+10 0 0 0 0 32 24 32 1.2416034862944
+10 0 0 0 0 34 24 32 0.798303750491894
+10 0 0 0 0 36 24 32 0.216453054770803
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 -0.906535917383655
+11 0 1 0 0 10 24 32 -1.13908142722891
+11 0 1 0 0 11 24 32 -1.29573134691123
+11 0 1 0 0 12 24 32 -1.40862540421424
+11 0 1 0 0 13 24 32 -1.48282009317025
+11 0 1 0 0 14 24 32 -1.4754234058434
+11 0 1 0 0 15 24 32 -1.40748590743074
+11 0 1 0 0 16 24 32 -1.26751018567576
+11 0 1 0 0 17 24 32 -1.07628514970974
+11 0 1 0 0 18 24 32 -0.838370958163056
+11 0 1 0 0 19 24 32 -0.5643056289734
+11 0 1 0 0 20 24 32 -0.265165176501508
+11 0 1 0 0 21 24 32 0.0453058036671544
+11 0 1 0 0 22 24 32 0.346288449081364
+11 0 1 0 0 23 24 32 0.625409595428345
+11 0 1 0 0 24 24 32 0.877551574415597
+11 0 1 0 0 25 24 32 1.09710471749309
+11 0 1 0 0 26 24 32 1.30456021431986
+11 0 1 0 0 27 24 32 1.42600929324765
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 -1.09123691874441
+12 0 1 0 0 10 24 32 -1.28511157689616
+12 0 1 0 0 11 24 32 -1.39300129742016
+12 0 1 0 0 12 24 32 -1.45779280421033
+12 0 1 0 0 13 24 32 -1.47733217594492
+12 0 1 0 0 14 24 32 -1.41929793155836
+12 0 1 0 0 15 24 32 -1.30865134679842
+12 0 1 0 0 16 24 32 -1.12513091076365
+12 0 1 0 0 17 24 32 -0.896227066407197
+12 0 1 0 0 18 24 32 -0.627767648907542
+12 0 1 0 0 19 24 32 -0.332832388952451
+12 0 1 0 0 20 24 32 -0.0235093794675183
+12 0 1 0 0 21 24 32 0.284547621899633
+12 0 1 0 0 22 24 32 0.570364445760106
+12 0 1 0 0 23 24 32 0.828966569850795
+12 0 1 0 0 24 24 32 1.05673522995586
+12 0 1 0 0 25 24 32 1.24179370419385
+12 0 1 0 0 26 24 32 1.40971236866666
+12 0 1 0 0 27 24 32 1.48266926110684
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 1.31780875229207
+12 0 0 0 0 2 24 32 0.919236604068319
+12 0 0 0 0 4 24 32 0.360022760196323
+12 0 0 0 0 6 24 32 -0.26317823993155
+12 0 0 0 0 8 24 32 -0.846053041875915
+12 0 0 0 0 10 24 32 -1.28511157689616
+12 0 0 0 0 12 24 32 -1.45779280421033
+12 0 0 0 0 14 24 32 -1.41929793155836
+12 0 0 0 0 16 24 32 -1.12513091076365
+12 0 0 0 0 18 24 32 -0.627767648907542
+12 0 0 0 0 20 24 32 -0.0235093794675183
+12 0 0 0 0 22 24 32 0.570364445760106
+12 0 0 0 0 24 24 32 1.05673522995586
+12 0 0 0 0 26 24 32 1.40971236866666
+12 0 0 0 0 28 24 32 1.48990828879347
+12 0 0 0 0 30 24 32 1.31780875229207
+12 0 0 0 0 32 24 32 0.919236604068319
+12 0 0 0 0 34 24 32 0.360022760196323
+12 0 0 0 0 36 24 32 -0.26317823993155
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/psi.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/psi.yl
new file mode 100644
index 000000000..e5a4cc8ee
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/psi.yl
@@ -0,0 +1,622 @@
+# SPACETIMETOY::psi y (psi)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 1.09606144155093
+0 0 1 0 0 18 14 32 0.942590278192748
+0 0 1 0 0 18 15 32 0.769930694976463
+0 0 1 0 0 18 16 32 0.581597543107234
+0 0 1 0 0 18 17 32 0.381424742449158
+0 0 1 0 0 18 18 32 0.173487233972944
+0 0 1 0 0 18 19 32 -0.0379819742910904
+0 0 1 0 0 18 20 32 -0.248677979089527
+0 0 1 0 0 18 21 32 -0.454311617361774
+0 0 1 0 0 18 22 32 -0.650696781231051
+0 0 1 0 0 18 23 32 -0.833835635089029
+0 0 1 0 0 18 24 32 -1
+0 0 1 0 0 18 25 32 -1.14580724867284
+0 0 1 0 0 18 26 32 -1.26828916599794
+0 0 1 0 0 18 27 32 -1.36495237334726
+0 0 1 0 0 18 28 32 -1.43382908657283
+0 0 1 0 0 18 29 32 -1.47351717441742
+0 0 1 0 0 18 30 32 -1.48320870186351
+0 0 1 0 0 18 31 32 -1.46270637736035
+0 0 1 0 0 18 32 32 -1.412427569111
+0 0 1 0 0 18 33 32 -1.33339580865932
+0 0 1 0 0 18 34 32 -1.22721995473931
+0 0 1 0 0 18 35 32 -1.09606144155092
+0 0 1 0 0 18 36 32 -0.942590278192737
+0 0 1 0 0 18 37 32 -0.769930694976451
+0 0 1 0 0 18 38 32 -0.581597543107221
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 0.650696781231039
+0 0 0 0 0 18 2 32 0.999999999999989
+0 0 0 0 0 18 4 32 1.26828916599794
+0 0 0 0 0 18 6 32 1.43382908657283
+0 0 0 0 0 18 8 32 1.48320870186351
+0 0 0 0 0 18 10 32 1.41242756911101
+0 0 0 0 0 18 12 32 1.22721995473932
+0 0 0 0 0 18 14 32 0.942590278192748
+0 0 0 0 0 18 16 32 0.581597543107234
+0 0 0 0 0 18 18 32 0.173487233972944
+0 0 0 0 0 18 20 32 -0.248677979089527
+0 0 0 0 0 18 22 32 -0.650696781231051
+0 0 0 0 0 18 24 32 -1
+0 0 0 0 0 18 26 32 -1.26828916599794
+0 0 0 0 0 18 28 32 -1.43382908657283
+0 0 0 0 0 18 30 32 -1.48320870186351
+0 0 0 0 0 18 32 32 -1.412427569111
+0 0 0 0 0 18 34 32 -1.22721995473931
+0 0 0 0 0 18 36 32 -0.942590278192737
+0 0 0 0 0 18 38 32 -0.581597543107221
+0 0 0 0 0 18 40 32 -0.17348723397293
+0 0 0 0 0 18 42 32 0.248677979089541
+0 0 0 0 0 18 44 32 0.650696781231064
+0 0 0 0 0 18 46 32 1.00000000000001
+0 0 0 0 0 18 48 32 1.26828916599795
+0 0 0 0 0 18 50 32 1.43382908657284
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0.920871899420207
+1 0 1 0 0 18 14 32 0.746336026832586
+1 0 1 0 0 18 15 32 0.549387624163334
+1 0 1 0 0 18 16 32 0.351026406503438
+1 0 1 0 0 18 17 32 0.142361376331037
+1 0 1 0 0 18 18 32 -0.0692017209271537
+1 0 1 0 0 18 19 32 -0.279356070708552
+1 0 1 0 0 18 20 32 -0.483823536486707
+1 0 1 0 0 18 21 32 -0.678441750293858
+1 0 1 0 0 18 22 32 -0.859248846529472
+1 0 1 0 0 18 23 32 -1.0225641141188
+1 0 1 0 0 18 24 32 -1.16506292517607
+1 0 1 0 0 18 25 32 -1.28384441484079
+1 0 1 0 0 18 26 32 -1.37649053452092
+1 0 1 0 0 18 27 32 -1.44111527638911
+1 0 1 0 0 18 28 32 -1.47640306706329
+1 0 1 0 0 18 29 32 -1.48163554888693
+1 0 1 0 0 18 30 32 -1.45670620361933
+1 0 1 0 0 18 31 32 -1.40212252083983
+1 0 1 0 0 18 32 32 -1.3189956669235
+1 0 1 0 0 18 33 32 -1.209017864898
+1 0 1 0 0 18 34 32 -1.0744279456628
+1 0 1 0 0 18 35 32 -0.917965771848235
+1 0 1 0 0 18 36 32 -0.7405515458277
+1 0 1 0 0 18 37 32 -0.556378077061154
+1 0 1 0 0 18 38 32 -0.355264487019512
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0.717226287080915
+2 0 1 0 0 18 14 32 0.525748976755298
+2 0 1 0 0 18 15 32 0.315079811017129
+2 0 1 0 0 18 16 32 0.110168092858416
+2 0 1 0 0 18 17 32 -0.100592436120425
+2 0 1 0 0 18 18 32 -0.310081002176374
+2 0 1 0 0 18 19 32 -0.513300554032513
+2 0 1 0 0 18 20 32 -0.706070786845115
+2 0 1 0 0 18 21 32 -0.884467454577559
+2 0 1 0 0 18 22 32 -1.04485891552832
+2 0 1 0 0 18 23 32 -1.18398006208322
+2 0 1 0 0 18 24 32 -1.29899878889066
+2 0 1 0 0 18 25 32 -1.38757364635945
+2 0 1 0 0 18 26 32 -1.44790150582034
+2 0 1 0 0 18 27 32 -1.47875426602587
+2 0 1 0 0 18 28 32 -1.47950385375027
+2 0 1 0 0 18 29 32 -1.45013500954911
+2 0 1 0 0 18 30 32 -1.39124559839757
+2 0 1 0 0 18 31 32 -1.30403443888365
+2 0 1 0 0 18 32 32 -1.19027689871886
+2 0 1 0 0 18 33 32 -1.05228875337127
+2 0 1 0 0 18 34 32 -0.892845870530513
+2 0 1 0 0 18 35 32 -0.714497823120434
+2 0 1 0 0 18 36 32 -0.520281255144489
+2 0 1 0 0 18 37 32 -0.32340773784078
+2 0 1 0 0 18 38 32 -0.11458202275314
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 1.04037351840835
+2 0 0 0 0 18 2 32 1.29492434916457
+2 0 0 0 0 18 4 32 1.44456811036311
+2 0 0 0 0 18 6 32 1.47718155443739
+2 0 0 0 0 18 8 32 1.39012253410813
+2 0 0 0 0 18 10 32 1.19044405344247
+2 0 0 0 0 18 12 32 0.894322875410286
+2 0 0 0 0 18 14 32 0.525748976755298
+2 0 0 0 0 18 16 32 0.110168092858416
+2 0 0 0 0 18 18 32 -0.310081002176374
+2 0 0 0 0 18 20 32 -0.706070786845115
+2 0 0 0 0 18 22 32 -1.04485891552832
+2 0 0 0 0 18 24 32 -1.29899878889066
+2 0 0 0 0 18 26 32 -1.44790150582034
+2 0 0 0 0 18 28 32 -1.47950385375027
+2 0 0 0 0 18 30 32 -1.39124559839757
+2 0 0 0 0 18 32 32 -1.19027689871886
+2 0 0 0 0 18 34 32 -0.892845870530513
+2 0 0 0 0 18 36 32 -0.520281255144489
+2 0 0 0 0 18 38 32 -0.11458202275314
+2 0 0 0 0 18 40 32 0.305867685286936
+2 0 0 0 0 18 42 32 0.701537812530231
+2 0 0 0 0 18 44 32 1.04037351840835
+2 0 0 0 0 18 46 32 1.29492434916457
+2 0 0 0 0 18 48 32 1.44456811036311
+2 0 0 0 0 18 50 32 1.47718155443739
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0.499998009340362
+3 0 1 0 0 18 14 32 0.29650087145551
+3 0 1 0 0 18 15 32 0.0741339936112615
+3 0 1 0 0 18 16 32 -0.134277737471978
+3 0 1 0 0 18 17 32 -0.341223811624963
+3 0 1 0 0 18 18 32 -0.542709344998461
+3 0 1 0 0 18 19 32 -0.733558491560141
+3 0 1 0 0 18 20 32 -0.909474425986759
+3 0 1 0 0 18 21 32 -1.06687632554143
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+3 0 1 0 0 18 23 32 -1.31376242631866
+3 0 1 0 0 18 24 32 -1.3982207384901
+3 0 1 0 0 18 25 32 -1.45421530856154
+3 0 1 0 0 18 26 32 -1.48060624856131
+3 0 1 0 0 18 27 32 -1.47685631505621
+3 0 1 0 0 18 28 32 -1.44304184587849
+3 0 1 0 0 18 29 32 -1.37985120610772
+3 0 1 0 0 18 30 32 -1.2885707749429
+3 0 1 0 0 18 31 32 -1.17105875873149
+3 0 1 0 0 18 32 32 -1.02970772378587
+3 0 1 0 0 18 33 32 -0.867397461183033
+3 0 1 0 0 18 34 32 -0.687090575889081
+3 0 1 0 0 18 35 32 -0.491521690764966
+3 0 1 0 0 18 36 32 -0.288317998732737
+3 0 1 0 0 18 37 32 -0.0846873896360736
+3 0 1 0 0 18 38 32 0.123896867874397
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0.263620938345841
+4 0 1 0 0 18 14 32 0.0533677964350139
+4 0 1 0 0 18 15 32 -0.165224108793199
+4 0 1 0 0 18 16 32 -0.37518550759505
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+4 0 1 0 0 18 18 32 -0.760928935342604
+4 0 1 0 0 18 19 32 -0.934243146599123
+4 0 1 0 0 18 20 32 -1.08859153885835
+4 0 1 0 0 18 21 32 -1.22078656482592
+4 0 1 0 0 18 22 32 -1.32812938564522
+4 0 1 0 0 18 23 32 -1.40843532973582
+4 0 1 0 0 18 24 32 -1.46006959210509
+4 0 1 0 0 18 25 32 -1.48198104807212
+4 0 1 0 0 18 26 32 -1.47372364358082
+4 0 1 0 0 18 27 32 -1.43546547557427
+4 0 1 0 0 18 28 32 -1.36798537002562
+4 0 1 0 0 18 29 32 -1.27265702728729
+4 0 1 0 0 18 30 32 -1.15142106878004
+4 0 1 0 0 18 31 32 -1.00674620906178
+4 0 1 0 0 18 32 32 -0.841575356295395
+4 0 1 0 0 18 33 32 -0.659225062255792
+4 0 1 0 0 18 34 32 -0.462409843297603
+4 0 1 0 0 18 35 32 -0.255741354195222
+4 0 1 0 0 18 36 32 -0.0517475574397591
+4 0 1 0 0 18 37 32 0.158412058720953
+4 0 1 0 0 18 38 32 0.365689845468934
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 1.32235996276565
+4 0 0 0 0 18 2 32 1.45563790907231
+4 0 0 0 0 18 4 32 1.47098872899794
+4 0 0 0 0 18 6 32 1.36716879040695
+4 0 0 0 0 18 8 32 1.15258896728308
+4 0 0 0 0 18 10 32 0.844633240740451
+4 0 0 0 0 18 12 32 0.468206705253212
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+4 0 0 0 0 18 16 32 -0.37518550759505
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+4 0 0 0 0 18 20 32 -1.08859153885835
+4 0 0 0 0 18 22 32 -1.32812938564522
+4 0 0 0 0 18 24 32 -1.46006959210509
+4 0 0 0 0 18 26 32 -1.47372364358082
+4 0 0 0 0 18 28 32 -1.36798537002562
+4 0 0 0 0 18 30 32 -1.15142106878004
+4 0 0 0 0 18 32 32 -0.841575356295395
+4 0 0 0 0 18 34 32 -0.462409843297603
+4 0 0 0 0 18 36 32 -0.0517475574397591
+4 0 0 0 0 18 38 32 0.365689845468934
+4 0 0 0 0 18 40 32 0.753913946830804
+4 0 0 0 0 18 42 32 1.08195227665321
+4 0 0 0 0 18 44 32 1.32235996276565
+4 0 0 0 0 18 46 32 1.45563790907231
+4 0 0 0 0 18 48 32 1.47098872899794
+4 0 0 0 0 18 50 32 1.36716879040695
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0.0259485694875108
+5 0 1 0 0 18 14 32 -0.186128493476826
+5 0 1 0 0 18 15 32 -0.397987065228842
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+5 0 1 0 0 18 19 32 -1.11001831573392
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+5 0 1 0 0 18 23 32 -1.46546117642721
+5 0 1 0 0 18 24 32 -1.48288511982603
+5 0 1 0 0 18 25 32 -1.47012179907989
+5 0 1 0 0 18 26 32 -1.42743103760532
+5 0 1 0 0 18 27 32 -1.35568189695817
+5 0 1 0 0 18 28 32 -1.25633498232917
+5 0 1 0 0 18 29 32 -1.13141274196163
+5 0 1 0 0 18 30 32 -0.983458373181042
+5 0 1 0 0 18 31 32 -0.815487590347788
+5 0 1 0 0 18 32 32 -0.630880424435513
+5 0 1 0 0 18 33 32 -0.433206365921833
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+5 0 1 0 0 18 35 32 -0.014968968030531
+5 0 1 0 0 18 36 32 0.184820666996583
+5 0 1 0 0 18 37 32 0.391464037829715
+5 0 1 0 0 18 38 32 0.592384438528367
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 -0.219726776556272
+6 0 1 0 0 18 14 32 -0.427828583223132
+6 0 1 0 0 18 15 32 -0.619305478564517
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+6 0 1 0 0 18 18 32 -1.1318998776256
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+6 0 1 0 0 18 20 32 -1.35556744121781
+6 0 1 0 0 18 21 32 -1.42750163228532
+6 0 1 0 0 18 22 32 -1.47037065509613
+6 0 1 0 0 18 23 32 -1.48330875163945
+6 0 1 0 0 18 24 32 -1.46605069461828
+6 0 1 0 0 18 25 32 -1.41894808343617
+6 0 1 0 0 18 26 32 -1.34295977596129
+6 0 1 0 0 18 27 32 -1.23963268580335
+6 0 1 0 0 18 28 32 -1.11107025441541
+6 0 1 0 0 18 29 32 -0.959889975912547
+6 0 1 0 0 18 30 32 -0.789169369416505
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+6 0 1 0 0 18 32 32 -0.403179318274197
+6 0 1 0 0 18 33 32 -0.195300881853109
+6 0 1 0 0 18 34 32 0.0182433918386082
+6 0 1 0 0 18 35 32 0.22396511058327
+6 0 1 0 0 18 36 32 0.415563083748461
+6 0 1 0 0 18 37 32 0.620348887374837
+6 0 1 0 0 18 38 32 0.810118137553398
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 1.46726877247893
+6 0 0 0 0 18 2 32 1.46532163785482
+6 0 0 0 0 18 4 32 1.34466426266899
+6 0 0 0 0 18 6 32 1.11507018594799
+6 0 0 0 0 18 8 32 0.795138709316885
+6 0 0 0 0 18 10 32 0.410792883642146
+6 0 0 0 0 18 12 32 -0.00723191536182559
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+6 0 0 0 0 18 16 32 -0.814985796828178
+6 0 0 0 0 18 18 32 -1.1318998776256
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+6 0 0 0 0 18 22 32 -1.47037065509613
+6 0 0 0 0 18 24 32 -1.46605069461828
+6 0 0 0 0 18 26 32 -1.34295977596129
+6 0 0 0 0 18 28 32 -1.11107025441541
+6 0 0 0 0 18 30 32 -0.789169369416505
+6 0 0 0 0 18 32 32 -0.403179318274197
+6 0 0 0 0 18 34 32 0.0182433918386082
+6 0 0 0 0 18 36 32 0.415563083748461
+6 0 0 0 0 18 38 32 0.810118137553398
+6 0 0 0 0 18 40 32 1.12426889781623
+6 0 0 0 0 18 42 32 1.35039043548382
+6 0 0 0 0 18 44 32 1.46726877247893
+6 0 0 0 0 18 46 32 1.46532163785482
+6 0 0 0 0 18 48 32 1.34466426266899
+6 0 0 0 0 18 50 32 1.11507018594799
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 -0.453786140322642
+7 0 1 0 0 18 14 32 -0.652852702014252
+7 0 1 0 0 18 15 32 -0.82499320521202
+7 0 1 0 0 18 16 32 -1.00138703327693
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+7 0 1 0 0 18 22 32 -1.48322572303912
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+7 0 1 0 0 18 24 32 -1.41001013653018
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+7 0 1 0 0 18 26 32 -1.22256266990279
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+7 0 1 0 0 18 28 32 -0.93607053350002
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+7 0 1 0 0 18 30 32 -0.573743523755916
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+7 0 1 0 0 18 33 32 0.0479555887971642
+7 0 1 0 0 18 34 32 0.25969754017339
+7 0 1 0 0 18 35 32 0.454881147534809
+7 0 1 0 0 18 36 32 0.635891284865354
+7 0 1 0 0 18 37 32 0.825070495431015
+7 0 1 0 0 18 38 32 1.00115937186882
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 -0.683162369474542
+8 0 1 0 0 18 14 32 -0.867494106780072
+8 0 1 0 0 18 15 32 -1.01032687693124
+8 0 1 0 0 18 16 32 -1.1600689272395
+8 0 1 0 0 18 17 32 -1.29306779030655
+8 0 1 0 0 18 18 32 -1.38331296630817
+8 0 1 0 0 18 19 32 -1.4459641778898
+8 0 1 0 0 18 20 32 -1.4787272625362
+8 0 1 0 0 18 21 32 -1.48263725575213
+8 0 1 0 0 18 22 32 -1.45641941083171
+8 0 1 0 0 18 23 32 -1.40059606231954
+8 0 1 0 0 18 24 32 -1.31625625478743
+8 0 1 0 0 18 25 32 -1.20512175755976
+8 0 1 0 0 18 26 32 -1.06945428084695
+8 0 1 0 0 18 27 32 -0.912016001434643
+8 0 1 0 0 18 28 32 -0.73601181730404
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+8 0 1 0 0 18 30 32 -0.342927853648762
+8 0 1 0 0 18 31 32 -0.133789911085008
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+8 0 1 0 0 18 33 32 0.289552929520669
+8 0 1 0 0 18 34 32 0.492319171957556
+8 0 1 0 0 18 35 32 0.672993476157275
+8 0 1 0 0 18 36 32 0.839520776373042
+8 0 1 0 0 18 37 32 1.01690182690683
+8 0 1 0 0 18 38 32 1.17141866503304
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 1.4599260824058
+8 0 0 0 0 18 2 32 1.32282696732083
+8 0 0 0 0 18 4 32 1.07856740479088
+8 0 0 0 0 18 6 32 0.746931394999782
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+8 0 0 0 0 18 24 32 -1.31625625478743
+8 0 0 0 0 18 26 32 -1.06945428084695
+8 0 0 0 0 18 28 32 -0.73601181730404
+8 0 0 0 0 18 30 32 -0.342927853648762
+8 0 0 0 0 18 32 32 0.0789498159203038
+8 0 0 0 0 18 34 32 0.492319171957556
+8 0 0 0 0 18 36 32 0.839520776373042
+8 0 0 0 0 18 38 32 1.17141866503304
+8 0 0 0 0 18 40 32 1.37848440959642
+8 0 0 0 0 18 42 32 1.47899169517518
+8 0 0 0 0 18 44 32 1.4599260824058
+8 0 0 0 0 18 46 32 1.32282696732083
+8 0 0 0 0 18 48 32 1.07856740479088
+8 0 0 0 0 18 50 32 0.746931394999782
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 -0.888740665191267
+9 0 1 0 0 18 14 32 -1.05334573563975
+9 0 1 0 0 18 15 32 -1.16986573864575
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+9 0 1 0 0 18 24 32 -1.18729147290435
+9 0 1 0 0 18 25 32 -1.04817791084068
+9 0 1 0 0 18 26 32 -0.887725777584008
+9 0 1 0 0 18 27 32 -0.709202905965088
+9 0 1 0 0 18 28 32 -0.516242446416127
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+9 0 1 0 0 18 31 32 0.1092810945892
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+9 0 1 0 0 18 33 32 0.522361271540188
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+9 0 1 0 0 18 36 32 1.02176995358108
+9 0 1 0 0 18 37 32 1.17443307230384
+9 0 1 0 0 18 38 32 1.30651595976118
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 -1.07670398363087
+10 0 1 0 0 18 14 32 -1.21654327588691
+10 0 1 0 0 18 15 32 -1.2991868348905
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+10 0 1 0 0 18 17 32 -1.45416887930688
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+10 0 1 0 0 18 20 32 -1.44536530814786
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+10 0 1 0 0 18 22 32 -1.287725228541
+10 0 1 0 0 18 23 32 -1.16904928457431
+10 0 1 0 0 18 24 32 -1.02656230643439
+10 0 1 0 0 18 25 32 -0.863186883978341
+10 0 1 0 0 18 26 32 -0.682237283229679
+10 0 1 0 0 18 27 32 -0.487401797447213
+10 0 1 0 0 18 28 32 -0.282640824570742
+10 0 1 0 0 18 29 32 -0.0721373548808597
+10 0 1 0 0 18 30 32 0.140068406318764
+10 0 1 0 0 18 31 32 0.349568132646443
+10 0 1 0 0 18 32 32 0.55294644008676
+10 0 1 0 0 18 33 32 0.739653741038707
+10 0 1 0 0 18 34 32 0.907382184653722
+10 0 1 0 0 18 35 32 1.05153082235759
+10 0 1 0 0 18 36 32 1.17721867449443
+10 0 1 0 0 18 37 32 1.30937799188226
+10 0 1 0 0 18 38 32 1.41124460848152
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 1.30096002440059
+10 0 0 0 0 18 2 32 1.04281677865456
+10 0 0 0 0 18 4 32 0.7001993757912
+10 0 0 0 0 18 6 32 0.300875424811597
+10 0 0 0 0 18 8 32 -0.122861873339397
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+10 0 0 0 0 18 14 32 -1.21654327588691
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+10 0 0 0 0 18 18 32 -1.48409156151931
+10 0 0 0 0 18 20 32 -1.44536530814786
+10 0 0 0 0 18 22 32 -1.287725228541
+10 0 0 0 0 18 24 32 -1.02656230643439
+10 0 0 0 0 18 26 32 -0.682237283229679
+10 0 0 0 0 18 28 32 -0.282640824570742
+10 0 0 0 0 18 30 32 0.140068406318764
+10 0 0 0 0 18 32 32 0.55294644008676
+10 0 0 0 0 18 34 32 0.907382184653722
+10 0 0 0 0 18 36 32 1.17721867449443
+10 0 0 0 0 18 38 32 1.41124460848152
+10 0 0 0 0 18 40 32 1.4897894214871
+10 0 0 0 0 18 42 32 1.45447252839878
+10 0 0 0 0 18 44 32 1.30096002440059
+10 0 0 0 0 18 46 32 1.04281677865456
+10 0 0 0 0 18 48 32 0.7001993757912
+10 0 0 0 0 18 50 32 0.300875424811597
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 -1.2310999045731
+11 0 1 0 0 18 14 32 -1.34261320602349
+11 0 1 0 0 18 15 32 -1.39353961211087
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+11 0 1 0 0 18 27 32 -0.252553813350439
+11 0 1 0 0 18 28 32 -0.0414588585811369
+11 0 1 0 0 18 29 32 0.170478428281339
+11 0 1 0 0 18 30 32 0.379407673456022
+11 0 1 0 0 18 31 32 0.580489094717499
+11 0 1 0 0 18 32 32 0.769901823411806
+11 0 1 0 0 18 33 32 0.935564290563597
+11 0 1 0 0 18 34 32 1.08036589407118
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+11 0 1 0 0 18 36 32 1.30217238332232
+11 0 1 0 0 18 37 32 1.40278848791043
+11 0 1 0 0 18 38 32 1.47605498428137
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 -1.35716202784073
+12 0 1 0 0 18 14 32 -1.4363800332155
+12 0 1 0 0 18 15 32 -1.45089048810903
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+12 0 1 0 0 18 25 32 -0.429507804926476
+12 0 1 0 0 18 26 32 -0.222492366629622
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+12 0 1 0 0 18 28 32 0.200844754454079
+12 0 1 0 0 18 29 32 0.408582356687951
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+12 0 1 0 0 18 33 32 1.10533820832565
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+12 0 1 0 0 18 35 32 1.32286475104631
+12 0 1 0 0 18 36 32 1.39322106608684
+12 0 1 0 0 18 37 32 1.46647062916207
+12 0 1 0 0 18 38 32 1.50413029613163
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 1.00675196572964
+12 0 0 0 0 18 2 32 0.654266652975802
+12 0 0 0 0 18 4 32 0.24874941201377
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+12 0 0 0 0 18 32 32 0.964925436289477
+12 0 0 0 0 18 34 32 1.22511217953641
+12 0 0 0 0 18 36 32 1.39322106608684
+12 0 0 0 0 18 38 32 1.50413029613163
+12 0 0 0 0 18 40 32 1.44605246184516
+12 0 0 0 0 18 42 32 1.27939423961842
+12 0 0 0 0 18 44 32 1.00675196572964
+12 0 0 0 0 18 46 32 0.654266652975802
+12 0 0 0 0 18 48 32 0.24874941201377
+12 0 0 0 0 18 50 32 -0.176849253179295
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/psi.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/psi.zl
new file mode 100644
index 000000000..873fe5c36
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/psi.zl
@@ -0,0 +1,782 @@
+# SPACETIMETOY::psi z (psi)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 1
+0 0 1 0 0 18 24 18 1.20603158828681
+0 0 1 0 0 18 24 19 1.35935380898385
+0 0 1 0 0 18 24 20 1.45326574532501
+0 0 1 0 0 18 24 21 1.48366299505272
+0 0 1 0 0 18 24 22 1.44921705249169
+0 0 1 0 0 18 24 23 1.35143337062181
+0 0 1 0 0 18 24 24 1.19458556555896
+0 0 1 0 0 18 24 25 0.985528639023651
+0 0 1 0 0 18 24 26 0.733399381871916
+0 0 1 0 0 18 24 27 0.449217052491691
+0 0 1 0 0 18 24 28 0.145401782335002
+0 0 1 0 0 18 24 29 -0.164768243424887
+0 0 1 0 0 18 24 30 -0.467737106301357
+0 0 1 0 0 18 24 31 -0.750263613180803
+0 0 1 0 0 18 24 32 -1
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+0 0 1 0 0 18 24 34 -1.35935380898385
+0 0 1 0 0 18 24 35 -1.45326574532501
+0 0 1 0 0 18 24 36 -1.48366299505272
+0 0 1 0 0 18 24 37 -1.44921705249169
+0 0 1 0 0 18 24 38 -1.35143337062181
+0 0 1 0 0 18 24 39 -1.19458556555896
+0 0 1 0 0 18 24 40 -0.985528639023655
+0 0 1 0 0 18 24 41 -0.73339938187192
+0 0 1 0 0 18 24 42 -0.449217052491695
+0 0 1 0 0 18 24 43 -0.145401782335008
+0 0 1 0 0 18 24 44 0.164768243424882
+0 0 1 0 0 18 24 45 0.467737106301352
+0 0 1 0 0 18 24 46 0.750263613180799
+0 0 1 0 0 18 24 47 0.999999999999996
+0 0 1 0 0 18 24 48 1.20603158828681
+0 0 1 0 0 18 24 49 1.35935380898384
+0 0 1 0 0 18 24 50 1.45326574532501
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 -0.467737106301367
+0 0 0 0 0 18 24 2 -1.00000000000001
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+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 1.16071082642865
+1 0 1 0 0 18 24 18 1.32764409031157
+1 0 1 0 0 18 24 19 1.43544904411285
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+1 0 1 0 0 18 24 49 1.43470609134467
+1 0 1 0 0 18 24 50 1.48106174791272
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 1.29400356281249
+2 0 1 0 0 18 24 18 1.41576997415218
+2 0 1 0 0 18 24 19 1.46757572610861
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+2 0 1 0 0 18 24 42 0.030037579465198
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+2 0 1 0 0 18 24 48 1.40717184719316
+2 0 1 0 0 18 24 49 1.47369100940358
+2 0 1 0 0 18 24 50 1.46925614152498
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 -0.891204856688904
+2 0 0 0 0 18 24 2 -1.29492434916456
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+2 0 0 0 0 18 24 50 1.46925614152498
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+2 0 0 0 0 18 24 64 -1.47473965765126
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+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 1.39196100497481
+3 0 1 0 0 18 24 18 1.46701342517283
+3 0 1 0 0 18 24 19 1.45726200573186
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+3 0 1 0 0 18 24 45 1.07661747889698
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+3 0 1 0 0 18 24 49 1.46851202298108
+3 0 1 0 0 18 24 50 1.42161821147885
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 1.45722720050537
+4 0 1 0 0 18 24 18 1.48250638158547
+4 0 1 0 0 18 24 19 1.41023953773215
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+4 0 1 0 0 18 24 44 1.02933603562599
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+4 0 1 0 0 18 24 49 1.43167271550637
+4 0 1 0 0 18 24 50 1.33689152933532
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 -1.22250389615375
+4 0 0 0 0 18 24 2 -1.45563790907232
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+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 1.48267009190255
+5 0 1 0 0 18 24 18 1.45820123593154
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+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 1.47035807721907
+6 0 1 0 0 18 24 18 1.39544719069721
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+6 0 1 0 0 18 24 49 1.24286469678636
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+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 -1.42713883695848
+6 0 0 0 0 18 24 2 -1.46532163785484
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+6 0 0 0 0 18 24 66 -0.818792346094417
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 1.41910970989631
+7 0 1 0 0 18 24 18 1.29532693161457
+7 0 1 0 0 18 24 19 1.07713354931579
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+7 0 1 0 0 18 24 49 1.10027378359036
+7 0 1 0 0 18 24 50 0.887505264734151
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 1.32810895064521
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+8 0 1 0 0 18 24 30 -1.48179304423827
+8 0 1 0 0 18 24 31 -1.43027987620326
+8 0 1 0 0 18 24 32 -1.31625625478743
+8 0 1 0 0 18 24 33 -1.14470626785685
+8 0 1 0 0 18 24 34 -0.923126802305464
+8 0 1 0 0 18 24 35 -0.661202546431117
+8 0 1 0 0 18 24 36 -0.370380339415158
+8 0 1 0 0 18 24 37 -0.0633708992500851
+8 0 1 0 0 18 24 38 0.246408236429148
+8 0 1 0 0 18 24 39 0.545417974422024
+8 0 1 0 0 18 24 40 0.820589651581064
+8 0 1 0 0 18 24 41 1.05989117644915
+8 0 1 0 0 18 24 42 1.25285596207874
+8 0 1 0 0 18 24 43 1.39086742527827
+8 0 1 0 0 18 24 44 1.46718323843006
+8 0 1 0 0 18 24 45 1.47493024086167
+8 0 1 0 0 18 24 46 1.41322404981162
+8 0 1 0 0 18 24 47 1.29491312303943
+8 0 1 0 0 18 24 48 1.13432566663396
+8 0 1 0 0 18 24 49 0.929579658367478
+8 0 1 0 0 18 24 50 0.681363972772035
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 -1.48373570305465
+8 0 0 0 0 18 24 2 -1.32282470582352
+8 0 0 0 0 18 24 4 -0.933185439815312
+8 0 0 0 0 18 24 6 -0.382189933539474
+8 0 0 0 0 18 24 8 0.234889567391943
+8 0 0 0 0 18 24 10 0.811352681547195
+8 0 0 0 0 18 24 12 1.24751991760261
+8 0 0 0 0 18 24 14 1.46839674708766
+8 0 0 0 0 18 24 16 1.43803620685193
+8 0 0 0 0 18 24 18 1.15747956343959
+8 0 0 0 0 18 24 20 0.635786710004068
+8 0 0 0 0 18 24 22 0.055652734416359
+8 0 0 0 0 18 24 24 -0.545621226408132
+8 0 0 0 0 18 24 26 -1.05990595077336
+8 0 0 0 0 18 24 28 -1.39111451017438
+8 0 0 0 0 18 24 30 -1.48179304423827
+8 0 0 0 0 18 24 32 -1.31625625478743
+8 0 0 0 0 18 24 34 -0.923126802305464
+8 0 0 0 0 18 24 36 -0.370380339415158
+8 0 0 0 0 18 24 38 0.246408236429148
+8 0 0 0 0 18 24 40 0.820589651581064
+8 0 0 0 0 18 24 42 1.25285596207874
+8 0 0 0 0 18 24 44 1.46718323843006
+8 0 0 0 0 18 24 46 1.41322404981162
+8 0 0 0 0 18 24 48 1.13432566663396
+8 0 0 0 0 18 24 50 0.681363972772035
+8 0 0 0 0 18 24 52 0.0772927131658831
+8 0 0 0 0 18 24 54 -0.534104655365601
+8 0 0 0 0 18 24 56 -1.0524526219537
+8 0 0 0 0 18 24 58 -1.38809225240878
+8 0 0 0 0 18 24 60 -1.48373570305465
+8 0 0 0 0 18 24 62 -1.32282470582352
+8 0 0 0 0 18 24 64 -0.933185439815312
+8 0 0 0 0 18 24 66 -0.382189933539474
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 1.20356403112358
+9 0 1 0 0 18 24 18 0.990940409116134
+9 0 1 0 0 18 24 19 0.711886939139288
+9 0 1 0 0 18 24 20 0.417582450424448
+9 0 1 0 0 18 24 21 0.107577341333927
+9 0 1 0 0 18 24 22 -0.192765293393994
+9 0 1 0 0 18 24 23 -0.484746291366392
+9 0 1 0 0 18 24 24 -0.764254901187374
+9 0 1 0 0 18 24 25 -1.01177349016009
+9 0 1 0 0 18 24 26 -1.21581866080318
+9 0 1 0 0 18 24 27 -1.36665232792461
+9 0 1 0 0 18 24 28 -1.45778018840288
+9 0 1 0 0 18 24 29 -1.48519295478261
+9 0 1 0 0 18 24 30 -1.44769533898703
+9 0 1 0 0 18 24 31 -1.34692755065905
+9 0 1 0 0 18 24 32 -1.18729147290435
+9 0 1 0 0 18 24 33 -0.975766086131721
+9 0 1 0 0 18 24 34 -0.721594135048863
+9 0 1 0 0 18 24 35 -0.435885800344431
+9 0 1 0 0 18 24 36 -0.131126616501997
+9 0 1 0 0 18 24 37 0.179363088900192
+9 0 1 0 0 18 24 38 0.482013811861696
+9 0 1 0 0 18 24 39 0.763597703987333
+9 0 1 0 0 18 24 40 1.01180659745135
+9 0 1 0 0 18 24 41 1.21577727287452
+9 0 1 0 0 18 24 42 1.36656387613512
+9 0 1 0 0 18 24 43 1.45708223913125
+9 0 1 0 0 18 24 44 1.48194061748867
+9 0 1 0 0 18 24 45 1.43626317762876
+9 0 1 0 0 18 24 46 1.32682958313836
+9 0 1 0 0 18 24 47 1.1709070419519
+9 0 1 0 0 18 24 48 0.974037477552103
+9 0 1 0 0 18 24 49 0.736359320095139
+9 0 1 0 0 18 24 50 0.462006609740559
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 1.04290023677484
+10 0 1 0 0 18 24 18 0.792697694329588
+10 0 1 0 0 18 24 19 0.495238371325937
+10 0 1 0 0 18 24 20 0.18980491742541
+10 0 1 0 0 18 24 21 -0.13549413448755
+10 0 1 0 0 18 24 22 -0.436361956616439
+10 0 1 0 0 18 24 23 -0.710969101565934
+10 0 1 0 0 18 24 24 -0.963153958869685
+10 0 1 0 0 18 24 25 -1.17604096412791
+10 0 1 0 0 18 24 26 -1.33926181372921
+10 0 1 0 0 18 24 27 -1.44388870901714
+10 0 1 0 0 18 24 28 -1.48547539907352
+10 0 1 0 0 18 24 29 -1.46213018846436
+10 0 1 0 0 18 24 30 -1.37488264272064
+10 0 1 0 0 18 24 31 -1.22754873096008
+10 0 1 0 0 18 24 32 -1.02656230643439
+10 0 1 0 0 18 24 33 -0.780712731502429
+10 0 1 0 0 18 24 34 -0.500740075096434
+10 0 1 0 0 18 24 35 -0.198884405551231
+10 0 1 0 0 18 24 36 0.111664658794927
+10 0 1 0 0 18 24 37 0.417332780053082
+10 0 1 0 0 18 24 38 0.70476125528043
+10 0 1 0 0 18 24 39 0.961386819421461
+10 0 1 0 0 18 24 40 1.17598976910023
+10 0 1 0 0 18 24 41 1.33915083887994
+10 0 1 0 0 18 24 42 1.4436236973089
+10 0 1 0 0 18 24 43 1.48376783571772
+10 0 1 0 0 18 24 44 1.45582795191701
+10 0 1 0 0 18 24 45 1.35901343023668
+10 0 1 0 0 18 24 46 1.20783078040583
+10 0 1 0 0 18 24 47 1.01766165505583
+10 0 1 0 0 18 24 48 0.78866201377433
+10 0 1 0 0 18 24 49 0.520581526778768
+10 0 1 0 0 18 24 50 0.22444755425811
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 -1.38627581505827
+10 0 0 0 0 18 24 2 -1.0427995829898
+10 0 0 0 0 18 24 4 -0.519015835176637
+10 0 0 0 0 18 24 6 0.0945104984796852
+10 0 0 0 0 18 24 8 0.691693383931638
+10 0 0 0 0 18 24 10 1.16927209919639
+10 0 0 0 0 18 24 12 1.44475167918368
+10 0 0 0 0 18 24 14 1.47169423989169
+10 0 0 0 0 18 24 16 1.24579726428391
+10 0 0 0 0 18 24 18 0.792697694329588
+10 0 0 0 0 18 24 20 0.18980491742541
+10 0 0 0 0 18 24 22 -0.436361956616439
+10 0 0 0 0 18 24 24 -0.963153958869685
+10 0 0 0 0 18 24 26 -1.33926181372921
+10 0 0 0 0 18 24 28 -1.48547539907352
+10 0 0 0 0 18 24 30 -1.37488264272064
+10 0 0 0 0 18 24 32 -1.02656230643439
+10 0 0 0 0 18 24 34 -0.500740075096434
+10 0 0 0 0 18 24 36 0.111664658794927
+10 0 0 0 0 18 24 38 0.70476125528043
+10 0 0 0 0 18 24 40 1.17598976910023
+10 0 0 0 0 18 24 42 1.4436236973089
+10 0 0 0 0 18 24 44 1.45582795191701
+10 0 0 0 0 18 24 46 1.20783078040583
+10 0 0 0 0 18 24 48 0.78866201377433
+10 0 0 0 0 18 24 50 0.22444755425811
+10 0 0 0 0 18 24 52 -0.399430479531666
+10 0 0 0 0 18 24 54 -0.949311120182564
+10 0 0 0 0 18 24 56 -1.33615067330498
+10 0 0 0 0 18 24 58 -1.49002326868537
+10 0 0 0 0 18 24 60 -1.38627581505827
+10 0 0 0 0 18 24 62 -1.0427995829898
+10 0 0 0 0 18 24 64 -0.519015835176637
+10 0 0 0 0 18 24 66 0.0945104984796852
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 0.858358852357387
+11 0 1 0 0 18 24 18 0.578855567567436
+11 0 1 0 0 18 24 19 0.263510166208144
+11 0 1 0 0 18 24 20 -0.0437130764412292
+11 0 1 0 0 18 24 21 -0.371412975421004
+11 0 1 0 0 18 24 22 -0.666646690774108
+11 0 1 0 0 18 24 23 -0.919668102213522
+11 0 1 0 0 18 24 24 -1.13740620524139
+11 0 1 0 0 18 24 25 -1.30915052518266
+11 0 1 0 0 18 24 26 -1.42696554747441
+11 0 1 0 0 18 24 27 -1.48252198471067
+11 0 1 0 0 18 24 28 -1.47345612165485
+11 0 1 0 0 18 24 29 -1.39997101098122
+11 0 1 0 0 18 24 30 -1.26530178979101
+11 0 1 0 0 18 24 31 -1.07533794148018
+11 0 1 0 0 18 24 32 -0.838370958163056
+11 0 1 0 0 18 24 33 -0.564768441413579
+11 0 1 0 0 18 24 34 -0.266478385450786
+11 0 1 0 0 18 24 35 0.0434546652225484
+11 0 1 0 0 18 24 36 0.351490692344654
+11 0 1 0 0 18 24 37 0.644163821197755
+11 0 1 0 0 18 24 38 0.90868285261616
+11 0 1 0 0 18 24 39 1.13348431589396
+11 0 1 0 0 18 24 40 1.30873350255989
+11 0 1 0 0 18 24 41 1.42666681730862
+11 0 1 0 0 18 24 42 1.48180798160576
+11 0 1 0 0 18 24 43 1.46989573796788
+11 0 1 0 0 18 24 44 1.38976831782102
+11 0 1 0 0 18 24 45 1.2466863159901
+11 0 1 0 0 18 24 46 1.05965686550286
+11 0 1 0 0 18 24 47 0.838216734843519
+11 0 1 0 0 18 24 48 0.582108056217312
+11 0 1 0 0 18 24 49 0.29426170634266
+11 0 1 0 0 18 24 50 -0.0134464222694098
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 0.64615955741774
+12 0 1 0 0 18 24 18 0.344045979333849
+12 0 1 0 0 18 24 19 0.0248565950932966
+12 0 1 0 0 18 24 20 -0.278538144083404
+12 0 1 0 0 18 24 21 -0.595346632679025
+12 0 1 0 0 18 24 22 -0.875808521143609
+12 0 1 0 0 18 24 23 -1.10433302585448
+12 0 1 0 0 18 24 24 -1.28257809382502
+12 0 1 0 0 18 24 25 -1.40784340353397
+12 0 1 0 0 18 24 26 -1.47667447808039
+12 0 1 0 0 18 24 27 -1.48152782794269
+12 0 1 0 0 18 24 28 -1.42205028078704
+12 0 1 0 0 18 24 29 -1.30038527722761
+12 0 1 0 0 18 24 30 -1.12189495247435
+12 0 1 0 0 18 24 31 -0.894380714924829
+12 0 1 0 0 18 24 32 -0.627767648907542
+12 0 1 0 0 18 24 33 -0.333727538642714
+12 0 1 0 0 18 24 34 -0.0250943021378606
+12 0 1 0 0 18 24 35 0.284630205616629
+12 0 1 0 0 18 24 36 0.581917962416093
+12 0 1 0 0 18 24 37 0.853772010787543
+12 0 1 0 0 18 24 38 1.08830863475766
+12 0 1 0 0 18 24 39 1.27527196010643
+12 0 1 0 0 18 24 40 1.40646308926706
+12 0 1 0 0 18 24 41 1.47589699519949
+12 0 1 0 0 18 24 42 1.47985680361298
+12 0 1 0 0 18 24 43 1.41568690207735
+12 0 1 0 0 18 24 44 1.28632274957675
+12 0 1 0 0 18 24 45 1.10351663968668
+12 0 1 0 0 18 24 46 0.885600997071612
+12 0 1 0 0 18 24 47 0.636497054154828
+12 0 1 0 0 18 24 48 0.360680694268079
+12 0 1 0 0 18 24 49 0.055389031979795
+12 0 1 0 0 18 24 50 -0.257630910310635
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 -1.14473660807725
+12 0 0 0 0 18 24 2 -0.654195651154796
+12 0 0 0 0 18 24 4 -0.0505484670752178
+12 0 0 0 0 18 24 6 0.561839530757919
+12 0 0 0 0 18 24 8 1.07707329056795
+12 0 0 0 0 18 24 10 1.40609696931535
+12 0 0 0 0 18 24 12 1.49237145553721
+12 0 0 0 0 18 24 14 1.32253984926165
+12 0 0 0 0 18 24 16 0.920779477058582
+12 0 0 0 0 18 24 18 0.344045979333849
+12 0 0 0 0 18 24 20 -0.278538144083404
+12 0 0 0 0 18 24 22 -0.875808521143609
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+12 0 0 0 0 18 24 26 -1.47667447808039
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+12 0 0 0 0 18 24 30 -1.12189495247435
+12 0 0 0 0 18 24 32 -0.627767648907542
+12 0 0 0 0 18 24 34 -0.0250943021378606
+12 0 0 0 0 18 24 36 0.581917962416093
+12 0 0 0 0 18 24 38 1.08830863475766
+12 0 0 0 0 18 24 40 1.40646308926706
+12 0 0 0 0 18 24 42 1.47985680361298
+12 0 0 0 0 18 24 44 1.28632274957675
+12 0 0 0 0 18 24 46 0.885600997071612
+12 0 0 0 0 18 24 48 0.360680694268079
+12 0 0 0 0 18 24 50 -0.257630910310635
+12 0 0 0 0 18 24 52 -0.83585554423664
+12 0 0 0 0 18 24 54 -1.26566970695399
+12 0 0 0 0 18 24 56 -1.48117188027729
+12 0 0 0 0 18 24 58 -1.43720419202099
+12 0 0 0 0 18 24 60 -1.14473660807725
+12 0 0 0 0 18 24 62 -0.654195651154796
+12 0 0 0 0 18 24 64 -0.0505484670752178
+12 0 0 0 0 18 24 66 0.561839530757919
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/spher3d_r.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/spher3d_r.xl
new file mode 100644
index 000000000..c73d4d829
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/spher3d_r.xl
@@ -0,0 +1,482 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 2.7
+0 0 1 0 0 10 24 32 2.4
+0 0 1 0 0 11 24 32 2.1
+0 0 1 0 0 12 24 32 1.8
+0 0 1 0 0 13 24 32 1.5
+0 0 1 0 0 14 24 32 1.2
+0 0 1 0 0 15 24 32 0.9
+0 0 1 0 0 16 24 32 0.6
+0 0 1 0 0 17 24 32 0.3
+0 0 1 0 0 18 24 32 6.2803698347351e-16
+0 0 1 0 0 19 24 32 0.3
+0 0 1 0 0 20 24 32 0.600000000000001
+0 0 1 0 0 21 24 32 0.900000000000001
+0 0 1 0 0 22 24 32 1.2
+0 0 1 0 0 23 24 32 1.5
+0 0 1 0 0 24 24 32 1.8
+0 0 1 0 0 25 24 32 2.1
+0 0 1 0 0 26 24 32 2.4
+0 0 1 0 0 27 24 32 2.7
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 5.4
+0 0 0 0 0 2 24 32 4.8
+0 0 0 0 0 4 24 32 4.2
+0 0 0 0 0 6 24 32 3.6
+0 0 0 0 0 8 24 32 3
+0 0 0 0 0 10 24 32 2.4
+0 0 0 0 0 12 24 32 1.8
+0 0 0 0 0 14 24 32 1.2
+0 0 0 0 0 16 24 32 0.6
+0 0 0 0 0 18 24 32 6.2803698347351e-16
+0 0 0 0 0 20 24 32 0.600000000000001
+0 0 0 0 0 22 24 32 1.2
+0 0 0 0 0 24 24 32 1.8
+0 0 0 0 0 26 24 32 2.4
+0 0 0 0 0 28 24 32 3
+0 0 0 0 0 30 24 32 3.6
+0 0 0 0 0 32 24 32 4.2
+0 0 0 0 0 34 24 32 4.8
+0 0 0 0 0 36 24 32 5.4
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 2.7
+1 0 1 0 0 10 24 32 2.4
+1 0 1 0 0 11 24 32 2.1
+1 0 1 0 0 12 24 32 1.8
+1 0 1 0 0 13 24 32 1.5
+1 0 1 0 0 14 24 32 1.2
+1 0 1 0 0 15 24 32 0.9
+1 0 1 0 0 16 24 32 0.6
+1 0 1 0 0 17 24 32 0.3
+1 0 1 0 0 18 24 32 6.2803698347351e-16
+1 0 1 0 0 19 24 32 0.3
+1 0 1 0 0 20 24 32 0.600000000000001
+1 0 1 0 0 21 24 32 0.900000000000001
+1 0 1 0 0 22 24 32 1.2
+1 0 1 0 0 23 24 32 1.5
+1 0 1 0 0 24 24 32 1.8
+1 0 1 0 0 25 24 32 2.1
+1 0 1 0 0 26 24 32 2.4
+1 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 2.7
+2 0 1 0 0 10 24 32 2.4
+2 0 1 0 0 11 24 32 2.1
+2 0 1 0 0 12 24 32 1.8
+2 0 1 0 0 13 24 32 1.5
+2 0 1 0 0 14 24 32 1.2
+2 0 1 0 0 15 24 32 0.9
+2 0 1 0 0 16 24 32 0.6
+2 0 1 0 0 17 24 32 0.3
+2 0 1 0 0 18 24 32 6.2803698347351e-16
+2 0 1 0 0 19 24 32 0.3
+2 0 1 0 0 20 24 32 0.600000000000001
+2 0 1 0 0 21 24 32 0.900000000000001
+2 0 1 0 0 22 24 32 1.2
+2 0 1 0 0 23 24 32 1.5
+2 0 1 0 0 24 24 32 1.8
+2 0 1 0 0 25 24 32 2.1
+2 0 1 0 0 26 24 32 2.4
+2 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 5.4
+2 0 0 0 0 2 24 32 4.8
+2 0 0 0 0 4 24 32 4.2
+2 0 0 0 0 6 24 32 3.6
+2 0 0 0 0 8 24 32 3
+2 0 0 0 0 10 24 32 2.4
+2 0 0 0 0 12 24 32 1.8
+2 0 0 0 0 14 24 32 1.2
+2 0 0 0 0 16 24 32 0.6
+2 0 0 0 0 18 24 32 6.2803698347351e-16
+2 0 0 0 0 20 24 32 0.600000000000001
+2 0 0 0 0 22 24 32 1.2
+2 0 0 0 0 24 24 32 1.8
+2 0 0 0 0 26 24 32 2.4
+2 0 0 0 0 28 24 32 3
+2 0 0 0 0 30 24 32 3.6
+2 0 0 0 0 32 24 32 4.2
+2 0 0 0 0 34 24 32 4.8
+2 0 0 0 0 36 24 32 5.4
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 2.7
+3 0 1 0 0 10 24 32 2.4
+3 0 1 0 0 11 24 32 2.1
+3 0 1 0 0 12 24 32 1.8
+3 0 1 0 0 13 24 32 1.5
+3 0 1 0 0 14 24 32 1.2
+3 0 1 0 0 15 24 32 0.9
+3 0 1 0 0 16 24 32 0.6
+3 0 1 0 0 17 24 32 0.3
+3 0 1 0 0 18 24 32 6.2803698347351e-16
+3 0 1 0 0 19 24 32 0.3
+3 0 1 0 0 20 24 32 0.600000000000001
+3 0 1 0 0 21 24 32 0.900000000000001
+3 0 1 0 0 22 24 32 1.2
+3 0 1 0 0 23 24 32 1.5
+3 0 1 0 0 24 24 32 1.8
+3 0 1 0 0 25 24 32 2.1
+3 0 1 0 0 26 24 32 2.4
+3 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 2.7
+4 0 1 0 0 10 24 32 2.4
+4 0 1 0 0 11 24 32 2.1
+4 0 1 0 0 12 24 32 1.8
+4 0 1 0 0 13 24 32 1.5
+4 0 1 0 0 14 24 32 1.2
+4 0 1 0 0 15 24 32 0.9
+4 0 1 0 0 16 24 32 0.6
+4 0 1 0 0 17 24 32 0.3
+4 0 1 0 0 18 24 32 6.2803698347351e-16
+4 0 1 0 0 19 24 32 0.3
+4 0 1 0 0 20 24 32 0.600000000000001
+4 0 1 0 0 21 24 32 0.900000000000001
+4 0 1 0 0 22 24 32 1.2
+4 0 1 0 0 23 24 32 1.5
+4 0 1 0 0 24 24 32 1.8
+4 0 1 0 0 25 24 32 2.1
+4 0 1 0 0 26 24 32 2.4
+4 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 5.4
+4 0 0 0 0 2 24 32 4.8
+4 0 0 0 0 4 24 32 4.2
+4 0 0 0 0 6 24 32 3.6
+4 0 0 0 0 8 24 32 3
+4 0 0 0 0 10 24 32 2.4
+4 0 0 0 0 12 24 32 1.8
+4 0 0 0 0 14 24 32 1.2
+4 0 0 0 0 16 24 32 0.6
+4 0 0 0 0 18 24 32 6.2803698347351e-16
+4 0 0 0 0 20 24 32 0.600000000000001
+4 0 0 0 0 22 24 32 1.2
+4 0 0 0 0 24 24 32 1.8
+4 0 0 0 0 26 24 32 2.4
+4 0 0 0 0 28 24 32 3
+4 0 0 0 0 30 24 32 3.6
+4 0 0 0 0 32 24 32 4.2
+4 0 0 0 0 34 24 32 4.8
+4 0 0 0 0 36 24 32 5.4
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 2.7
+5 0 1 0 0 10 24 32 2.4
+5 0 1 0 0 11 24 32 2.1
+5 0 1 0 0 12 24 32 1.8
+5 0 1 0 0 13 24 32 1.5
+5 0 1 0 0 14 24 32 1.2
+5 0 1 0 0 15 24 32 0.9
+5 0 1 0 0 16 24 32 0.6
+5 0 1 0 0 17 24 32 0.3
+5 0 1 0 0 18 24 32 6.2803698347351e-16
+5 0 1 0 0 19 24 32 0.3
+5 0 1 0 0 20 24 32 0.600000000000001
+5 0 1 0 0 21 24 32 0.900000000000001
+5 0 1 0 0 22 24 32 1.2
+5 0 1 0 0 23 24 32 1.5
+5 0 1 0 0 24 24 32 1.8
+5 0 1 0 0 25 24 32 2.1
+5 0 1 0 0 26 24 32 2.4
+5 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 2.7
+6 0 1 0 0 10 24 32 2.4
+6 0 1 0 0 11 24 32 2.1
+6 0 1 0 0 12 24 32 1.8
+6 0 1 0 0 13 24 32 1.5
+6 0 1 0 0 14 24 32 1.2
+6 0 1 0 0 15 24 32 0.9
+6 0 1 0 0 16 24 32 0.6
+6 0 1 0 0 17 24 32 0.3
+6 0 1 0 0 18 24 32 6.2803698347351e-16
+6 0 1 0 0 19 24 32 0.3
+6 0 1 0 0 20 24 32 0.600000000000001
+6 0 1 0 0 21 24 32 0.900000000000001
+6 0 1 0 0 22 24 32 1.2
+6 0 1 0 0 23 24 32 1.5
+6 0 1 0 0 24 24 32 1.8
+6 0 1 0 0 25 24 32 2.1
+6 0 1 0 0 26 24 32 2.4
+6 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 5.4
+6 0 0 0 0 2 24 32 4.8
+6 0 0 0 0 4 24 32 4.2
+6 0 0 0 0 6 24 32 3.6
+6 0 0 0 0 8 24 32 3
+6 0 0 0 0 10 24 32 2.4
+6 0 0 0 0 12 24 32 1.8
+6 0 0 0 0 14 24 32 1.2
+6 0 0 0 0 16 24 32 0.6
+6 0 0 0 0 18 24 32 6.2803698347351e-16
+6 0 0 0 0 20 24 32 0.600000000000001
+6 0 0 0 0 22 24 32 1.2
+6 0 0 0 0 24 24 32 1.8
+6 0 0 0 0 26 24 32 2.4
+6 0 0 0 0 28 24 32 3
+6 0 0 0 0 30 24 32 3.6
+6 0 0 0 0 32 24 32 4.2
+6 0 0 0 0 34 24 32 4.8
+6 0 0 0 0 36 24 32 5.4
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 2.7
+7 0 1 0 0 10 24 32 2.4
+7 0 1 0 0 11 24 32 2.1
+7 0 1 0 0 12 24 32 1.8
+7 0 1 0 0 13 24 32 1.5
+7 0 1 0 0 14 24 32 1.2
+7 0 1 0 0 15 24 32 0.9
+7 0 1 0 0 16 24 32 0.6
+7 0 1 0 0 17 24 32 0.3
+7 0 1 0 0 18 24 32 6.2803698347351e-16
+7 0 1 0 0 19 24 32 0.3
+7 0 1 0 0 20 24 32 0.600000000000001
+7 0 1 0 0 21 24 32 0.900000000000001
+7 0 1 0 0 22 24 32 1.2
+7 0 1 0 0 23 24 32 1.5
+7 0 1 0 0 24 24 32 1.8
+7 0 1 0 0 25 24 32 2.1
+7 0 1 0 0 26 24 32 2.4
+7 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 2.7
+8 0 1 0 0 10 24 32 2.4
+8 0 1 0 0 11 24 32 2.1
+8 0 1 0 0 12 24 32 1.8
+8 0 1 0 0 13 24 32 1.5
+8 0 1 0 0 14 24 32 1.2
+8 0 1 0 0 15 24 32 0.9
+8 0 1 0 0 16 24 32 0.6
+8 0 1 0 0 17 24 32 0.3
+8 0 1 0 0 18 24 32 6.2803698347351e-16
+8 0 1 0 0 19 24 32 0.3
+8 0 1 0 0 20 24 32 0.600000000000001
+8 0 1 0 0 21 24 32 0.900000000000001
+8 0 1 0 0 22 24 32 1.2
+8 0 1 0 0 23 24 32 1.5
+8 0 1 0 0 24 24 32 1.8
+8 0 1 0 0 25 24 32 2.1
+8 0 1 0 0 26 24 32 2.4
+8 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 5.4
+8 0 0 0 0 2 24 32 4.8
+8 0 0 0 0 4 24 32 4.2
+8 0 0 0 0 6 24 32 3.6
+8 0 0 0 0 8 24 32 3
+8 0 0 0 0 10 24 32 2.4
+8 0 0 0 0 12 24 32 1.8
+8 0 0 0 0 14 24 32 1.2
+8 0 0 0 0 16 24 32 0.6
+8 0 0 0 0 18 24 32 6.2803698347351e-16
+8 0 0 0 0 20 24 32 0.600000000000001
+8 0 0 0 0 22 24 32 1.2
+8 0 0 0 0 24 24 32 1.8
+8 0 0 0 0 26 24 32 2.4
+8 0 0 0 0 28 24 32 3
+8 0 0 0 0 30 24 32 3.6
+8 0 0 0 0 32 24 32 4.2
+8 0 0 0 0 34 24 32 4.8
+8 0 0 0 0 36 24 32 5.4
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 2.7
+9 0 1 0 0 10 24 32 2.4
+9 0 1 0 0 11 24 32 2.1
+9 0 1 0 0 12 24 32 1.8
+9 0 1 0 0 13 24 32 1.5
+9 0 1 0 0 14 24 32 1.2
+9 0 1 0 0 15 24 32 0.9
+9 0 1 0 0 16 24 32 0.6
+9 0 1 0 0 17 24 32 0.3
+9 0 1 0 0 18 24 32 6.2803698347351e-16
+9 0 1 0 0 19 24 32 0.3
+9 0 1 0 0 20 24 32 0.600000000000001
+9 0 1 0 0 21 24 32 0.900000000000001
+9 0 1 0 0 22 24 32 1.2
+9 0 1 0 0 23 24 32 1.5
+9 0 1 0 0 24 24 32 1.8
+9 0 1 0 0 25 24 32 2.1
+9 0 1 0 0 26 24 32 2.4
+9 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 2.7
+10 0 1 0 0 10 24 32 2.4
+10 0 1 0 0 11 24 32 2.1
+10 0 1 0 0 12 24 32 1.8
+10 0 1 0 0 13 24 32 1.5
+10 0 1 0 0 14 24 32 1.2
+10 0 1 0 0 15 24 32 0.9
+10 0 1 0 0 16 24 32 0.6
+10 0 1 0 0 17 24 32 0.3
+10 0 1 0 0 18 24 32 6.2803698347351e-16
+10 0 1 0 0 19 24 32 0.3
+10 0 1 0 0 20 24 32 0.600000000000001
+10 0 1 0 0 21 24 32 0.900000000000001
+10 0 1 0 0 22 24 32 1.2
+10 0 1 0 0 23 24 32 1.5
+10 0 1 0 0 24 24 32 1.8
+10 0 1 0 0 25 24 32 2.1
+10 0 1 0 0 26 24 32 2.4
+10 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 5.4
+10 0 0 0 0 2 24 32 4.8
+10 0 0 0 0 4 24 32 4.2
+10 0 0 0 0 6 24 32 3.6
+10 0 0 0 0 8 24 32 3
+10 0 0 0 0 10 24 32 2.4
+10 0 0 0 0 12 24 32 1.8
+10 0 0 0 0 14 24 32 1.2
+10 0 0 0 0 16 24 32 0.6
+10 0 0 0 0 18 24 32 6.2803698347351e-16
+10 0 0 0 0 20 24 32 0.600000000000001
+10 0 0 0 0 22 24 32 1.2
+10 0 0 0 0 24 24 32 1.8
+10 0 0 0 0 26 24 32 2.4
+10 0 0 0 0 28 24 32 3
+10 0 0 0 0 30 24 32 3.6
+10 0 0 0 0 32 24 32 4.2
+10 0 0 0 0 34 24 32 4.8
+10 0 0 0 0 36 24 32 5.4
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 2.7
+11 0 1 0 0 10 24 32 2.4
+11 0 1 0 0 11 24 32 2.1
+11 0 1 0 0 12 24 32 1.8
+11 0 1 0 0 13 24 32 1.5
+11 0 1 0 0 14 24 32 1.2
+11 0 1 0 0 15 24 32 0.9
+11 0 1 0 0 16 24 32 0.6
+11 0 1 0 0 17 24 32 0.3
+11 0 1 0 0 18 24 32 6.2803698347351e-16
+11 0 1 0 0 19 24 32 0.3
+11 0 1 0 0 20 24 32 0.600000000000001
+11 0 1 0 0 21 24 32 0.900000000000001
+11 0 1 0 0 22 24 32 1.2
+11 0 1 0 0 23 24 32 1.5
+11 0 1 0 0 24 24 32 1.8
+11 0 1 0 0 25 24 32 2.1
+11 0 1 0 0 26 24 32 2.4
+11 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 2.7
+12 0 1 0 0 10 24 32 2.4
+12 0 1 0 0 11 24 32 2.1
+12 0 1 0 0 12 24 32 1.8
+12 0 1 0 0 13 24 32 1.5
+12 0 1 0 0 14 24 32 1.2
+12 0 1 0 0 15 24 32 0.9
+12 0 1 0 0 16 24 32 0.6
+12 0 1 0 0 17 24 32 0.3
+12 0 1 0 0 18 24 32 6.2803698347351e-16
+12 0 1 0 0 19 24 32 0.3
+12 0 1 0 0 20 24 32 0.600000000000001
+12 0 1 0 0 21 24 32 0.900000000000001
+12 0 1 0 0 22 24 32 1.2
+12 0 1 0 0 23 24 32 1.5
+12 0 1 0 0 24 24 32 1.8
+12 0 1 0 0 25 24 32 2.1
+12 0 1 0 0 26 24 32 2.4
+12 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 5.4
+12 0 0 0 0 2 24 32 4.8
+12 0 0 0 0 4 24 32 4.2
+12 0 0 0 0 6 24 32 3.6
+12 0 0 0 0 8 24 32 3
+12 0 0 0 0 10 24 32 2.4
+12 0 0 0 0 12 24 32 1.8
+12 0 0 0 0 14 24 32 1.2
+12 0 0 0 0 16 24 32 0.6
+12 0 0 0 0 18 24 32 6.2803698347351e-16
+12 0 0 0 0 20 24 32 0.600000000000001
+12 0 0 0 0 22 24 32 1.2
+12 0 0 0 0 24 24 32 1.8
+12 0 0 0 0 26 24 32 2.4
+12 0 0 0 0 28 24 32 3
+12 0 0 0 0 30 24 32 3.6
+12 0 0 0 0 32 24 32 4.2
+12 0 0 0 0 34 24 32 4.8
+12 0 0 0 0 36 24 32 5.4
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/spher3d_r.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/spher3d_r.yl
new file mode 100644
index 000000000..68dfcb5aa
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/spher3d_r.yl
@@ -0,0 +1,622 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 3.3
+0 0 1 0 0 18 14 32 3
+0 0 1 0 0 18 15 32 2.7
+0 0 1 0 0 18 16 32 2.4
+0 0 1 0 0 18 17 32 2.1
+0 0 1 0 0 18 18 32 1.8
+0 0 1 0 0 18 19 32 1.5
+0 0 1 0 0 18 20 32 1.2
+0 0 1 0 0 18 21 32 0.9
+0 0 1 0 0 18 22 32 0.6
+0 0 1 0 0 18 23 32 0.3
+0 0 1 0 0 18 24 32 6.2803698347351e-16
+0 0 1 0 0 18 25 32 0.3
+0 0 1 0 0 18 26 32 0.6
+0 0 1 0 0 18 27 32 0.899999999999999
+0 0 1 0 0 18 28 32 1.2
+0 0 1 0 0 18 29 32 1.5
+0 0 1 0 0 18 30 32 1.8
+0 0 1 0 0 18 31 32 2.1
+0 0 1 0 0 18 32 32 2.4
+0 0 1 0 0 18 33 32 2.7
+0 0 1 0 0 18 34 32 3
+0 0 1 0 0 18 35 32 3.3
+0 0 1 0 0 18 36 32 3.6
+0 0 1 0 0 18 37 32 3.9
+0 0 1 0 0 18 38 32 4.2
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 7.2
+0 0 0 0 0 18 2 32 6.6
+0 0 0 0 0 18 4 32 6
+0 0 0 0 0 18 6 32 5.4
+0 0 0 0 0 18 8 32 4.8
+0 0 0 0 0 18 10 32 4.2
+0 0 0 0 0 18 12 32 3.6
+0 0 0 0 0 18 14 32 3
+0 0 0 0 0 18 16 32 2.4
+0 0 0 0 0 18 18 32 1.8
+0 0 0 0 0 18 20 32 1.2
+0 0 0 0 0 18 22 32 0.6
+0 0 0 0 0 18 24 32 6.2803698347351e-16
+0 0 0 0 0 18 26 32 0.6
+0 0 0 0 0 18 28 32 1.2
+0 0 0 0 0 18 30 32 1.8
+0 0 0 0 0 18 32 32 2.4
+0 0 0 0 0 18 34 32 3
+0 0 0 0 0 18 36 32 3.6
+0 0 0 0 0 18 38 32 4.2
+0 0 0 0 0 18 40 32 4.8
+0 0 0 0 0 18 42 32 5.4
+0 0 0 0 0 18 44 32 6
+0 0 0 0 0 18 46 32 6.6
+0 0 0 0 0 18 48 32 7.2
+0 0 0 0 0 18 50 32 7.8
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 3.3
+1 0 1 0 0 18 14 32 3
+1 0 1 0 0 18 15 32 2.7
+1 0 1 0 0 18 16 32 2.4
+1 0 1 0 0 18 17 32 2.1
+1 0 1 0 0 18 18 32 1.8
+1 0 1 0 0 18 19 32 1.5
+1 0 1 0 0 18 20 32 1.2
+1 0 1 0 0 18 21 32 0.9
+1 0 1 0 0 18 22 32 0.6
+1 0 1 0 0 18 23 32 0.3
+1 0 1 0 0 18 24 32 6.2803698347351e-16
+1 0 1 0 0 18 25 32 0.3
+1 0 1 0 0 18 26 32 0.6
+1 0 1 0 0 18 27 32 0.899999999999999
+1 0 1 0 0 18 28 32 1.2
+1 0 1 0 0 18 29 32 1.5
+1 0 1 0 0 18 30 32 1.8
+1 0 1 0 0 18 31 32 2.1
+1 0 1 0 0 18 32 32 2.4
+1 0 1 0 0 18 33 32 2.7
+1 0 1 0 0 18 34 32 3
+1 0 1 0 0 18 35 32 3.3
+1 0 1 0 0 18 36 32 3.6
+1 0 1 0 0 18 37 32 3.9
+1 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 3.3
+2 0 1 0 0 18 14 32 3
+2 0 1 0 0 18 15 32 2.7
+2 0 1 0 0 18 16 32 2.4
+2 0 1 0 0 18 17 32 2.1
+2 0 1 0 0 18 18 32 1.8
+2 0 1 0 0 18 19 32 1.5
+2 0 1 0 0 18 20 32 1.2
+2 0 1 0 0 18 21 32 0.9
+2 0 1 0 0 18 22 32 0.6
+2 0 1 0 0 18 23 32 0.3
+2 0 1 0 0 18 24 32 6.2803698347351e-16
+2 0 1 0 0 18 25 32 0.3
+2 0 1 0 0 18 26 32 0.6
+2 0 1 0 0 18 27 32 0.899999999999999
+2 0 1 0 0 18 28 32 1.2
+2 0 1 0 0 18 29 32 1.5
+2 0 1 0 0 18 30 32 1.8
+2 0 1 0 0 18 31 32 2.1
+2 0 1 0 0 18 32 32 2.4
+2 0 1 0 0 18 33 32 2.7
+2 0 1 0 0 18 34 32 3
+2 0 1 0 0 18 35 32 3.3
+2 0 1 0 0 18 36 32 3.6
+2 0 1 0 0 18 37 32 3.9
+2 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 7.2
+2 0 0 0 0 18 2 32 6.6
+2 0 0 0 0 18 4 32 6
+2 0 0 0 0 18 6 32 5.4
+2 0 0 0 0 18 8 32 4.8
+2 0 0 0 0 18 10 32 4.2
+2 0 0 0 0 18 12 32 3.6
+2 0 0 0 0 18 14 32 3
+2 0 0 0 0 18 16 32 2.4
+2 0 0 0 0 18 18 32 1.8
+2 0 0 0 0 18 20 32 1.2
+2 0 0 0 0 18 22 32 0.6
+2 0 0 0 0 18 24 32 6.2803698347351e-16
+2 0 0 0 0 18 26 32 0.6
+2 0 0 0 0 18 28 32 1.2
+2 0 0 0 0 18 30 32 1.8
+2 0 0 0 0 18 32 32 2.4
+2 0 0 0 0 18 34 32 3
+2 0 0 0 0 18 36 32 3.6
+2 0 0 0 0 18 38 32 4.2
+2 0 0 0 0 18 40 32 4.8
+2 0 0 0 0 18 42 32 5.4
+2 0 0 0 0 18 44 32 6
+2 0 0 0 0 18 46 32 6.6
+2 0 0 0 0 18 48 32 7.2
+2 0 0 0 0 18 50 32 7.8
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 3.3
+3 0 1 0 0 18 14 32 3
+3 0 1 0 0 18 15 32 2.7
+3 0 1 0 0 18 16 32 2.4
+3 0 1 0 0 18 17 32 2.1
+3 0 1 0 0 18 18 32 1.8
+3 0 1 0 0 18 19 32 1.5
+3 0 1 0 0 18 20 32 1.2
+3 0 1 0 0 18 21 32 0.9
+3 0 1 0 0 18 22 32 0.6
+3 0 1 0 0 18 23 32 0.3
+3 0 1 0 0 18 24 32 6.2803698347351e-16
+3 0 1 0 0 18 25 32 0.3
+3 0 1 0 0 18 26 32 0.6
+3 0 1 0 0 18 27 32 0.899999999999999
+3 0 1 0 0 18 28 32 1.2
+3 0 1 0 0 18 29 32 1.5
+3 0 1 0 0 18 30 32 1.8
+3 0 1 0 0 18 31 32 2.1
+3 0 1 0 0 18 32 32 2.4
+3 0 1 0 0 18 33 32 2.7
+3 0 1 0 0 18 34 32 3
+3 0 1 0 0 18 35 32 3.3
+3 0 1 0 0 18 36 32 3.6
+3 0 1 0 0 18 37 32 3.9
+3 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 3.3
+4 0 1 0 0 18 14 32 3
+4 0 1 0 0 18 15 32 2.7
+4 0 1 0 0 18 16 32 2.4
+4 0 1 0 0 18 17 32 2.1
+4 0 1 0 0 18 18 32 1.8
+4 0 1 0 0 18 19 32 1.5
+4 0 1 0 0 18 20 32 1.2
+4 0 1 0 0 18 21 32 0.9
+4 0 1 0 0 18 22 32 0.6
+4 0 1 0 0 18 23 32 0.3
+4 0 1 0 0 18 24 32 6.2803698347351e-16
+4 0 1 0 0 18 25 32 0.3
+4 0 1 0 0 18 26 32 0.6
+4 0 1 0 0 18 27 32 0.899999999999999
+4 0 1 0 0 18 28 32 1.2
+4 0 1 0 0 18 29 32 1.5
+4 0 1 0 0 18 30 32 1.8
+4 0 1 0 0 18 31 32 2.1
+4 0 1 0 0 18 32 32 2.4
+4 0 1 0 0 18 33 32 2.7
+4 0 1 0 0 18 34 32 3
+4 0 1 0 0 18 35 32 3.3
+4 0 1 0 0 18 36 32 3.6
+4 0 1 0 0 18 37 32 3.9
+4 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 7.2
+4 0 0 0 0 18 2 32 6.6
+4 0 0 0 0 18 4 32 6
+4 0 0 0 0 18 6 32 5.4
+4 0 0 0 0 18 8 32 4.8
+4 0 0 0 0 18 10 32 4.2
+4 0 0 0 0 18 12 32 3.6
+4 0 0 0 0 18 14 32 3
+4 0 0 0 0 18 16 32 2.4
+4 0 0 0 0 18 18 32 1.8
+4 0 0 0 0 18 20 32 1.2
+4 0 0 0 0 18 22 32 0.6
+4 0 0 0 0 18 24 32 6.2803698347351e-16
+4 0 0 0 0 18 26 32 0.6
+4 0 0 0 0 18 28 32 1.2
+4 0 0 0 0 18 30 32 1.8
+4 0 0 0 0 18 32 32 2.4
+4 0 0 0 0 18 34 32 3
+4 0 0 0 0 18 36 32 3.6
+4 0 0 0 0 18 38 32 4.2
+4 0 0 0 0 18 40 32 4.8
+4 0 0 0 0 18 42 32 5.4
+4 0 0 0 0 18 44 32 6
+4 0 0 0 0 18 46 32 6.6
+4 0 0 0 0 18 48 32 7.2
+4 0 0 0 0 18 50 32 7.8
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 3.3
+5 0 1 0 0 18 14 32 3
+5 0 1 0 0 18 15 32 2.7
+5 0 1 0 0 18 16 32 2.4
+5 0 1 0 0 18 17 32 2.1
+5 0 1 0 0 18 18 32 1.8
+5 0 1 0 0 18 19 32 1.5
+5 0 1 0 0 18 20 32 1.2
+5 0 1 0 0 18 21 32 0.9
+5 0 1 0 0 18 22 32 0.6
+5 0 1 0 0 18 23 32 0.3
+5 0 1 0 0 18 24 32 6.2803698347351e-16
+5 0 1 0 0 18 25 32 0.3
+5 0 1 0 0 18 26 32 0.6
+5 0 1 0 0 18 27 32 0.899999999999999
+5 0 1 0 0 18 28 32 1.2
+5 0 1 0 0 18 29 32 1.5
+5 0 1 0 0 18 30 32 1.8
+5 0 1 0 0 18 31 32 2.1
+5 0 1 0 0 18 32 32 2.4
+5 0 1 0 0 18 33 32 2.7
+5 0 1 0 0 18 34 32 3
+5 0 1 0 0 18 35 32 3.3
+5 0 1 0 0 18 36 32 3.6
+5 0 1 0 0 18 37 32 3.9
+5 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 3.3
+6 0 1 0 0 18 14 32 3
+6 0 1 0 0 18 15 32 2.7
+6 0 1 0 0 18 16 32 2.4
+6 0 1 0 0 18 17 32 2.1
+6 0 1 0 0 18 18 32 1.8
+6 0 1 0 0 18 19 32 1.5
+6 0 1 0 0 18 20 32 1.2
+6 0 1 0 0 18 21 32 0.9
+6 0 1 0 0 18 22 32 0.6
+6 0 1 0 0 18 23 32 0.3
+6 0 1 0 0 18 24 32 6.2803698347351e-16
+6 0 1 0 0 18 25 32 0.3
+6 0 1 0 0 18 26 32 0.6
+6 0 1 0 0 18 27 32 0.899999999999999
+6 0 1 0 0 18 28 32 1.2
+6 0 1 0 0 18 29 32 1.5
+6 0 1 0 0 18 30 32 1.8
+6 0 1 0 0 18 31 32 2.1
+6 0 1 0 0 18 32 32 2.4
+6 0 1 0 0 18 33 32 2.7
+6 0 1 0 0 18 34 32 3
+6 0 1 0 0 18 35 32 3.3
+6 0 1 0 0 18 36 32 3.6
+6 0 1 0 0 18 37 32 3.9
+6 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 7.2
+6 0 0 0 0 18 2 32 6.6
+6 0 0 0 0 18 4 32 6
+6 0 0 0 0 18 6 32 5.4
+6 0 0 0 0 18 8 32 4.8
+6 0 0 0 0 18 10 32 4.2
+6 0 0 0 0 18 12 32 3.6
+6 0 0 0 0 18 14 32 3
+6 0 0 0 0 18 16 32 2.4
+6 0 0 0 0 18 18 32 1.8
+6 0 0 0 0 18 20 32 1.2
+6 0 0 0 0 18 22 32 0.6
+6 0 0 0 0 18 24 32 6.2803698347351e-16
+6 0 0 0 0 18 26 32 0.6
+6 0 0 0 0 18 28 32 1.2
+6 0 0 0 0 18 30 32 1.8
+6 0 0 0 0 18 32 32 2.4
+6 0 0 0 0 18 34 32 3
+6 0 0 0 0 18 36 32 3.6
+6 0 0 0 0 18 38 32 4.2
+6 0 0 0 0 18 40 32 4.8
+6 0 0 0 0 18 42 32 5.4
+6 0 0 0 0 18 44 32 6
+6 0 0 0 0 18 46 32 6.6
+6 0 0 0 0 18 48 32 7.2
+6 0 0 0 0 18 50 32 7.8
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 3.3
+7 0 1 0 0 18 14 32 3
+7 0 1 0 0 18 15 32 2.7
+7 0 1 0 0 18 16 32 2.4
+7 0 1 0 0 18 17 32 2.1
+7 0 1 0 0 18 18 32 1.8
+7 0 1 0 0 18 19 32 1.5
+7 0 1 0 0 18 20 32 1.2
+7 0 1 0 0 18 21 32 0.9
+7 0 1 0 0 18 22 32 0.6
+7 0 1 0 0 18 23 32 0.3
+7 0 1 0 0 18 24 32 6.2803698347351e-16
+7 0 1 0 0 18 25 32 0.3
+7 0 1 0 0 18 26 32 0.6
+7 0 1 0 0 18 27 32 0.899999999999999
+7 0 1 0 0 18 28 32 1.2
+7 0 1 0 0 18 29 32 1.5
+7 0 1 0 0 18 30 32 1.8
+7 0 1 0 0 18 31 32 2.1
+7 0 1 0 0 18 32 32 2.4
+7 0 1 0 0 18 33 32 2.7
+7 0 1 0 0 18 34 32 3
+7 0 1 0 0 18 35 32 3.3
+7 0 1 0 0 18 36 32 3.6
+7 0 1 0 0 18 37 32 3.9
+7 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 3.3
+8 0 1 0 0 18 14 32 3
+8 0 1 0 0 18 15 32 2.7
+8 0 1 0 0 18 16 32 2.4
+8 0 1 0 0 18 17 32 2.1
+8 0 1 0 0 18 18 32 1.8
+8 0 1 0 0 18 19 32 1.5
+8 0 1 0 0 18 20 32 1.2
+8 0 1 0 0 18 21 32 0.9
+8 0 1 0 0 18 22 32 0.6
+8 0 1 0 0 18 23 32 0.3
+8 0 1 0 0 18 24 32 6.2803698347351e-16
+8 0 1 0 0 18 25 32 0.3
+8 0 1 0 0 18 26 32 0.6
+8 0 1 0 0 18 27 32 0.899999999999999
+8 0 1 0 0 18 28 32 1.2
+8 0 1 0 0 18 29 32 1.5
+8 0 1 0 0 18 30 32 1.8
+8 0 1 0 0 18 31 32 2.1
+8 0 1 0 0 18 32 32 2.4
+8 0 1 0 0 18 33 32 2.7
+8 0 1 0 0 18 34 32 3
+8 0 1 0 0 18 35 32 3.3
+8 0 1 0 0 18 36 32 3.6
+8 0 1 0 0 18 37 32 3.9
+8 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 7.2
+8 0 0 0 0 18 2 32 6.6
+8 0 0 0 0 18 4 32 6
+8 0 0 0 0 18 6 32 5.4
+8 0 0 0 0 18 8 32 4.8
+8 0 0 0 0 18 10 32 4.2
+8 0 0 0 0 18 12 32 3.6
+8 0 0 0 0 18 14 32 3
+8 0 0 0 0 18 16 32 2.4
+8 0 0 0 0 18 18 32 1.8
+8 0 0 0 0 18 20 32 1.2
+8 0 0 0 0 18 22 32 0.6
+8 0 0 0 0 18 24 32 6.2803698347351e-16
+8 0 0 0 0 18 26 32 0.6
+8 0 0 0 0 18 28 32 1.2
+8 0 0 0 0 18 30 32 1.8
+8 0 0 0 0 18 32 32 2.4
+8 0 0 0 0 18 34 32 3
+8 0 0 0 0 18 36 32 3.6
+8 0 0 0 0 18 38 32 4.2
+8 0 0 0 0 18 40 32 4.8
+8 0 0 0 0 18 42 32 5.4
+8 0 0 0 0 18 44 32 6
+8 0 0 0 0 18 46 32 6.6
+8 0 0 0 0 18 48 32 7.2
+8 0 0 0 0 18 50 32 7.8
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 3.3
+9 0 1 0 0 18 14 32 3
+9 0 1 0 0 18 15 32 2.7
+9 0 1 0 0 18 16 32 2.4
+9 0 1 0 0 18 17 32 2.1
+9 0 1 0 0 18 18 32 1.8
+9 0 1 0 0 18 19 32 1.5
+9 0 1 0 0 18 20 32 1.2
+9 0 1 0 0 18 21 32 0.9
+9 0 1 0 0 18 22 32 0.6
+9 0 1 0 0 18 23 32 0.3
+9 0 1 0 0 18 24 32 6.2803698347351e-16
+9 0 1 0 0 18 25 32 0.3
+9 0 1 0 0 18 26 32 0.6
+9 0 1 0 0 18 27 32 0.899999999999999
+9 0 1 0 0 18 28 32 1.2
+9 0 1 0 0 18 29 32 1.5
+9 0 1 0 0 18 30 32 1.8
+9 0 1 0 0 18 31 32 2.1
+9 0 1 0 0 18 32 32 2.4
+9 0 1 0 0 18 33 32 2.7
+9 0 1 0 0 18 34 32 3
+9 0 1 0 0 18 35 32 3.3
+9 0 1 0 0 18 36 32 3.6
+9 0 1 0 0 18 37 32 3.9
+9 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 3.3
+10 0 1 0 0 18 14 32 3
+10 0 1 0 0 18 15 32 2.7
+10 0 1 0 0 18 16 32 2.4
+10 0 1 0 0 18 17 32 2.1
+10 0 1 0 0 18 18 32 1.8
+10 0 1 0 0 18 19 32 1.5
+10 0 1 0 0 18 20 32 1.2
+10 0 1 0 0 18 21 32 0.9
+10 0 1 0 0 18 22 32 0.6
+10 0 1 0 0 18 23 32 0.3
+10 0 1 0 0 18 24 32 6.2803698347351e-16
+10 0 1 0 0 18 25 32 0.3
+10 0 1 0 0 18 26 32 0.6
+10 0 1 0 0 18 27 32 0.899999999999999
+10 0 1 0 0 18 28 32 1.2
+10 0 1 0 0 18 29 32 1.5
+10 0 1 0 0 18 30 32 1.8
+10 0 1 0 0 18 31 32 2.1
+10 0 1 0 0 18 32 32 2.4
+10 0 1 0 0 18 33 32 2.7
+10 0 1 0 0 18 34 32 3
+10 0 1 0 0 18 35 32 3.3
+10 0 1 0 0 18 36 32 3.6
+10 0 1 0 0 18 37 32 3.9
+10 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 7.2
+10 0 0 0 0 18 2 32 6.6
+10 0 0 0 0 18 4 32 6
+10 0 0 0 0 18 6 32 5.4
+10 0 0 0 0 18 8 32 4.8
+10 0 0 0 0 18 10 32 4.2
+10 0 0 0 0 18 12 32 3.6
+10 0 0 0 0 18 14 32 3
+10 0 0 0 0 18 16 32 2.4
+10 0 0 0 0 18 18 32 1.8
+10 0 0 0 0 18 20 32 1.2
+10 0 0 0 0 18 22 32 0.6
+10 0 0 0 0 18 24 32 6.2803698347351e-16
+10 0 0 0 0 18 26 32 0.6
+10 0 0 0 0 18 28 32 1.2
+10 0 0 0 0 18 30 32 1.8
+10 0 0 0 0 18 32 32 2.4
+10 0 0 0 0 18 34 32 3
+10 0 0 0 0 18 36 32 3.6
+10 0 0 0 0 18 38 32 4.2
+10 0 0 0 0 18 40 32 4.8
+10 0 0 0 0 18 42 32 5.4
+10 0 0 0 0 18 44 32 6
+10 0 0 0 0 18 46 32 6.6
+10 0 0 0 0 18 48 32 7.2
+10 0 0 0 0 18 50 32 7.8
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 3.3
+11 0 1 0 0 18 14 32 3
+11 0 1 0 0 18 15 32 2.7
+11 0 1 0 0 18 16 32 2.4
+11 0 1 0 0 18 17 32 2.1
+11 0 1 0 0 18 18 32 1.8
+11 0 1 0 0 18 19 32 1.5
+11 0 1 0 0 18 20 32 1.2
+11 0 1 0 0 18 21 32 0.9
+11 0 1 0 0 18 22 32 0.6
+11 0 1 0 0 18 23 32 0.3
+11 0 1 0 0 18 24 32 6.2803698347351e-16
+11 0 1 0 0 18 25 32 0.3
+11 0 1 0 0 18 26 32 0.6
+11 0 1 0 0 18 27 32 0.899999999999999
+11 0 1 0 0 18 28 32 1.2
+11 0 1 0 0 18 29 32 1.5
+11 0 1 0 0 18 30 32 1.8
+11 0 1 0 0 18 31 32 2.1
+11 0 1 0 0 18 32 32 2.4
+11 0 1 0 0 18 33 32 2.7
+11 0 1 0 0 18 34 32 3
+11 0 1 0 0 18 35 32 3.3
+11 0 1 0 0 18 36 32 3.6
+11 0 1 0 0 18 37 32 3.9
+11 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 3.3
+12 0 1 0 0 18 14 32 3
+12 0 1 0 0 18 15 32 2.7
+12 0 1 0 0 18 16 32 2.4
+12 0 1 0 0 18 17 32 2.1
+12 0 1 0 0 18 18 32 1.8
+12 0 1 0 0 18 19 32 1.5
+12 0 1 0 0 18 20 32 1.2
+12 0 1 0 0 18 21 32 0.9
+12 0 1 0 0 18 22 32 0.6
+12 0 1 0 0 18 23 32 0.3
+12 0 1 0 0 18 24 32 6.2803698347351e-16
+12 0 1 0 0 18 25 32 0.3
+12 0 1 0 0 18 26 32 0.6
+12 0 1 0 0 18 27 32 0.899999999999999
+12 0 1 0 0 18 28 32 1.2
+12 0 1 0 0 18 29 32 1.5
+12 0 1 0 0 18 30 32 1.8
+12 0 1 0 0 18 31 32 2.1
+12 0 1 0 0 18 32 32 2.4
+12 0 1 0 0 18 33 32 2.7
+12 0 1 0 0 18 34 32 3
+12 0 1 0 0 18 35 32 3.3
+12 0 1 0 0 18 36 32 3.6
+12 0 1 0 0 18 37 32 3.9
+12 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 7.2
+12 0 0 0 0 18 2 32 6.6
+12 0 0 0 0 18 4 32 6
+12 0 0 0 0 18 6 32 5.4
+12 0 0 0 0 18 8 32 4.8
+12 0 0 0 0 18 10 32 4.2
+12 0 0 0 0 18 12 32 3.6
+12 0 0 0 0 18 14 32 3
+12 0 0 0 0 18 16 32 2.4
+12 0 0 0 0 18 18 32 1.8
+12 0 0 0 0 18 20 32 1.2
+12 0 0 0 0 18 22 32 0.6
+12 0 0 0 0 18 24 32 6.2803698347351e-16
+12 0 0 0 0 18 26 32 0.6
+12 0 0 0 0 18 28 32 1.2
+12 0 0 0 0 18 30 32 1.8
+12 0 0 0 0 18 32 32 2.4
+12 0 0 0 0 18 34 32 3
+12 0 0 0 0 18 36 32 3.6
+12 0 0 0 0 18 38 32 4.2
+12 0 0 0 0 18 40 32 4.8
+12 0 0 0 0 18 42 32 5.4
+12 0 0 0 0 18 44 32 6
+12 0 0 0 0 18 46 32 6.6
+12 0 0 0 0 18 48 32 7.2
+12 0 0 0 0 18 50 32 7.8
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/spher3d_r.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/spher3d_r.zl
new file mode 100644
index 000000000..28167d1c4
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/spher3d_r.zl
@@ -0,0 +1,782 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 4.5
+0 0 1 0 0 18 24 18 4.2
+0 0 1 0 0 18 24 19 3.9
+0 0 1 0 0 18 24 20 3.6
+0 0 1 0 0 18 24 21 3.3
+0 0 1 0 0 18 24 22 3
+0 0 1 0 0 18 24 23 2.7
+0 0 1 0 0 18 24 24 2.4
+0 0 1 0 0 18 24 25 2.1
+0 0 1 0 0 18 24 26 1.8
+0 0 1 0 0 18 24 27 1.5
+0 0 1 0 0 18 24 28 1.2
+0 0 1 0 0 18 24 29 0.9
+0 0 1 0 0 18 24 30 0.6
+0 0 1 0 0 18 24 31 0.3
+0 0 1 0 0 18 24 32 6.2803698347351e-16
+0 0 1 0 0 18 24 33 0.3
+0 0 1 0 0 18 24 34 0.6
+0 0 1 0 0 18 24 35 0.9
+0 0 1 0 0 18 24 36 1.2
+0 0 1 0 0 18 24 37 1.5
+0 0 1 0 0 18 24 38 1.8
+0 0 1 0 0 18 24 39 2.1
+0 0 1 0 0 18 24 40 2.4
+0 0 1 0 0 18 24 41 2.7
+0 0 1 0 0 18 24 42 3
+0 0 1 0 0 18 24 43 3.3
+0 0 1 0 0 18 24 44 3.6
+0 0 1 0 0 18 24 45 3.9
+0 0 1 0 0 18 24 46 4.2
+0 0 1 0 0 18 24 47 4.5
+0 0 1 0 0 18 24 48 4.8
+0 0 1 0 0 18 24 49 5.1
+0 0 1 0 0 18 24 50 5.4
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 9.6
+0 0 0 0 0 18 24 2 9
+0 0 0 0 0 18 24 4 8.4
+0 0 0 0 0 18 24 6 7.8
+0 0 0 0 0 18 24 8 7.2
+0 0 0 0 0 18 24 10 6.6
+0 0 0 0 0 18 24 12 6
+0 0 0 0 0 18 24 14 5.4
+0 0 0 0 0 18 24 16 4.8
+0 0 0 0 0 18 24 18 4.2
+0 0 0 0 0 18 24 20 3.6
+0 0 0 0 0 18 24 22 3
+0 0 0 0 0 18 24 24 2.4
+0 0 0 0 0 18 24 26 1.8
+0 0 0 0 0 18 24 28 1.2
+0 0 0 0 0 18 24 30 0.6
+0 0 0 0 0 18 24 32 6.2803698347351e-16
+0 0 0 0 0 18 24 34 0.6
+0 0 0 0 0 18 24 36 1.2
+0 0 0 0 0 18 24 38 1.8
+0 0 0 0 0 18 24 40 2.4
+0 0 0 0 0 18 24 42 3
+0 0 0 0 0 18 24 44 3.6
+0 0 0 0 0 18 24 46 4.2
+0 0 0 0 0 18 24 48 4.8
+0 0 0 0 0 18 24 50 5.4
+0 0 0 0 0 18 24 52 6
+0 0 0 0 0 18 24 54 6.6
+0 0 0 0 0 18 24 56 7.2
+0 0 0 0 0 18 24 58 7.8
+0 0 0 0 0 18 24 60 8.4
+0 0 0 0 0 18 24 62 9
+0 0 0 0 0 18 24 64 9.6
+0 0 0 0 0 18 24 66 10.2
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 4.5
+1 0 1 0 0 18 24 18 4.2
+1 0 1 0 0 18 24 19 3.9
+1 0 1 0 0 18 24 20 3.6
+1 0 1 0 0 18 24 21 3.3
+1 0 1 0 0 18 24 22 3
+1 0 1 0 0 18 24 23 2.7
+1 0 1 0 0 18 24 24 2.4
+1 0 1 0 0 18 24 25 2.1
+1 0 1 0 0 18 24 26 1.8
+1 0 1 0 0 18 24 27 1.5
+1 0 1 0 0 18 24 28 1.2
+1 0 1 0 0 18 24 29 0.9
+1 0 1 0 0 18 24 30 0.6
+1 0 1 0 0 18 24 31 0.3
+1 0 1 0 0 18 24 32 6.2803698347351e-16
+1 0 1 0 0 18 24 33 0.3
+1 0 1 0 0 18 24 34 0.6
+1 0 1 0 0 18 24 35 0.9
+1 0 1 0 0 18 24 36 1.2
+1 0 1 0 0 18 24 37 1.5
+1 0 1 0 0 18 24 38 1.8
+1 0 1 0 0 18 24 39 2.1
+1 0 1 0 0 18 24 40 2.4
+1 0 1 0 0 18 24 41 2.7
+1 0 1 0 0 18 24 42 3
+1 0 1 0 0 18 24 43 3.3
+1 0 1 0 0 18 24 44 3.6
+1 0 1 0 0 18 24 45 3.9
+1 0 1 0 0 18 24 46 4.2
+1 0 1 0 0 18 24 47 4.5
+1 0 1 0 0 18 24 48 4.8
+1 0 1 0 0 18 24 49 5.1
+1 0 1 0 0 18 24 50 5.4
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 4.5
+2 0 1 0 0 18 24 18 4.2
+2 0 1 0 0 18 24 19 3.9
+2 0 1 0 0 18 24 20 3.6
+2 0 1 0 0 18 24 21 3.3
+2 0 1 0 0 18 24 22 3
+2 0 1 0 0 18 24 23 2.7
+2 0 1 0 0 18 24 24 2.4
+2 0 1 0 0 18 24 25 2.1
+2 0 1 0 0 18 24 26 1.8
+2 0 1 0 0 18 24 27 1.5
+2 0 1 0 0 18 24 28 1.2
+2 0 1 0 0 18 24 29 0.9
+2 0 1 0 0 18 24 30 0.6
+2 0 1 0 0 18 24 31 0.3
+2 0 1 0 0 18 24 32 6.2803698347351e-16
+2 0 1 0 0 18 24 33 0.3
+2 0 1 0 0 18 24 34 0.6
+2 0 1 0 0 18 24 35 0.9
+2 0 1 0 0 18 24 36 1.2
+2 0 1 0 0 18 24 37 1.5
+2 0 1 0 0 18 24 38 1.8
+2 0 1 0 0 18 24 39 2.1
+2 0 1 0 0 18 24 40 2.4
+2 0 1 0 0 18 24 41 2.7
+2 0 1 0 0 18 24 42 3
+2 0 1 0 0 18 24 43 3.3
+2 0 1 0 0 18 24 44 3.6
+2 0 1 0 0 18 24 45 3.9
+2 0 1 0 0 18 24 46 4.2
+2 0 1 0 0 18 24 47 4.5
+2 0 1 0 0 18 24 48 4.8
+2 0 1 0 0 18 24 49 5.1
+2 0 1 0 0 18 24 50 5.4
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 9.6
+2 0 0 0 0 18 24 2 9
+2 0 0 0 0 18 24 4 8.4
+2 0 0 0 0 18 24 6 7.8
+2 0 0 0 0 18 24 8 7.2
+2 0 0 0 0 18 24 10 6.6
+2 0 0 0 0 18 24 12 6
+2 0 0 0 0 18 24 14 5.4
+2 0 0 0 0 18 24 16 4.8
+2 0 0 0 0 18 24 18 4.2
+2 0 0 0 0 18 24 20 3.6
+2 0 0 0 0 18 24 22 3
+2 0 0 0 0 18 24 24 2.4
+2 0 0 0 0 18 24 26 1.8
+2 0 0 0 0 18 24 28 1.2
+2 0 0 0 0 18 24 30 0.6
+2 0 0 0 0 18 24 32 6.2803698347351e-16
+2 0 0 0 0 18 24 34 0.6
+2 0 0 0 0 18 24 36 1.2
+2 0 0 0 0 18 24 38 1.8
+2 0 0 0 0 18 24 40 2.4
+2 0 0 0 0 18 24 42 3
+2 0 0 0 0 18 24 44 3.6
+2 0 0 0 0 18 24 46 4.2
+2 0 0 0 0 18 24 48 4.8
+2 0 0 0 0 18 24 50 5.4
+2 0 0 0 0 18 24 52 6
+2 0 0 0 0 18 24 54 6.6
+2 0 0 0 0 18 24 56 7.2
+2 0 0 0 0 18 24 58 7.8
+2 0 0 0 0 18 24 60 8.4
+2 0 0 0 0 18 24 62 9
+2 0 0 0 0 18 24 64 9.6
+2 0 0 0 0 18 24 66 10.2
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 4.5
+3 0 1 0 0 18 24 18 4.2
+3 0 1 0 0 18 24 19 3.9
+3 0 1 0 0 18 24 20 3.6
+3 0 1 0 0 18 24 21 3.3
+3 0 1 0 0 18 24 22 3
+3 0 1 0 0 18 24 23 2.7
+3 0 1 0 0 18 24 24 2.4
+3 0 1 0 0 18 24 25 2.1
+3 0 1 0 0 18 24 26 1.8
+3 0 1 0 0 18 24 27 1.5
+3 0 1 0 0 18 24 28 1.2
+3 0 1 0 0 18 24 29 0.9
+3 0 1 0 0 18 24 30 0.6
+3 0 1 0 0 18 24 31 0.3
+3 0 1 0 0 18 24 32 6.2803698347351e-16
+3 0 1 0 0 18 24 33 0.3
+3 0 1 0 0 18 24 34 0.6
+3 0 1 0 0 18 24 35 0.9
+3 0 1 0 0 18 24 36 1.2
+3 0 1 0 0 18 24 37 1.5
+3 0 1 0 0 18 24 38 1.8
+3 0 1 0 0 18 24 39 2.1
+3 0 1 0 0 18 24 40 2.4
+3 0 1 0 0 18 24 41 2.7
+3 0 1 0 0 18 24 42 3
+3 0 1 0 0 18 24 43 3.3
+3 0 1 0 0 18 24 44 3.6
+3 0 1 0 0 18 24 45 3.9
+3 0 1 0 0 18 24 46 4.2
+3 0 1 0 0 18 24 47 4.5
+3 0 1 0 0 18 24 48 4.8
+3 0 1 0 0 18 24 49 5.1
+3 0 1 0 0 18 24 50 5.4
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 4.5
+4 0 1 0 0 18 24 18 4.2
+4 0 1 0 0 18 24 19 3.9
+4 0 1 0 0 18 24 20 3.6
+4 0 1 0 0 18 24 21 3.3
+4 0 1 0 0 18 24 22 3
+4 0 1 0 0 18 24 23 2.7
+4 0 1 0 0 18 24 24 2.4
+4 0 1 0 0 18 24 25 2.1
+4 0 1 0 0 18 24 26 1.8
+4 0 1 0 0 18 24 27 1.5
+4 0 1 0 0 18 24 28 1.2
+4 0 1 0 0 18 24 29 0.9
+4 0 1 0 0 18 24 30 0.6
+4 0 1 0 0 18 24 31 0.3
+4 0 1 0 0 18 24 32 6.2803698347351e-16
+4 0 1 0 0 18 24 33 0.3
+4 0 1 0 0 18 24 34 0.6
+4 0 1 0 0 18 24 35 0.9
+4 0 1 0 0 18 24 36 1.2
+4 0 1 0 0 18 24 37 1.5
+4 0 1 0 0 18 24 38 1.8
+4 0 1 0 0 18 24 39 2.1
+4 0 1 0 0 18 24 40 2.4
+4 0 1 0 0 18 24 41 2.7
+4 0 1 0 0 18 24 42 3
+4 0 1 0 0 18 24 43 3.3
+4 0 1 0 0 18 24 44 3.6
+4 0 1 0 0 18 24 45 3.9
+4 0 1 0 0 18 24 46 4.2
+4 0 1 0 0 18 24 47 4.5
+4 0 1 0 0 18 24 48 4.8
+4 0 1 0 0 18 24 49 5.1
+4 0 1 0 0 18 24 50 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 9.6
+4 0 0 0 0 18 24 2 9
+4 0 0 0 0 18 24 4 8.4
+4 0 0 0 0 18 24 6 7.8
+4 0 0 0 0 18 24 8 7.2
+4 0 0 0 0 18 24 10 6.6
+4 0 0 0 0 18 24 12 6
+4 0 0 0 0 18 24 14 5.4
+4 0 0 0 0 18 24 16 4.8
+4 0 0 0 0 18 24 18 4.2
+4 0 0 0 0 18 24 20 3.6
+4 0 0 0 0 18 24 22 3
+4 0 0 0 0 18 24 24 2.4
+4 0 0 0 0 18 24 26 1.8
+4 0 0 0 0 18 24 28 1.2
+4 0 0 0 0 18 24 30 0.6
+4 0 0 0 0 18 24 32 6.2803698347351e-16
+4 0 0 0 0 18 24 34 0.6
+4 0 0 0 0 18 24 36 1.2
+4 0 0 0 0 18 24 38 1.8
+4 0 0 0 0 18 24 40 2.4
+4 0 0 0 0 18 24 42 3
+4 0 0 0 0 18 24 44 3.6
+4 0 0 0 0 18 24 46 4.2
+4 0 0 0 0 18 24 48 4.8
+4 0 0 0 0 18 24 50 5.4
+4 0 0 0 0 18 24 52 6
+4 0 0 0 0 18 24 54 6.6
+4 0 0 0 0 18 24 56 7.2
+4 0 0 0 0 18 24 58 7.8
+4 0 0 0 0 18 24 60 8.4
+4 0 0 0 0 18 24 62 9
+4 0 0 0 0 18 24 64 9.6
+4 0 0 0 0 18 24 66 10.2
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 4.5
+5 0 1 0 0 18 24 18 4.2
+5 0 1 0 0 18 24 19 3.9
+5 0 1 0 0 18 24 20 3.6
+5 0 1 0 0 18 24 21 3.3
+5 0 1 0 0 18 24 22 3
+5 0 1 0 0 18 24 23 2.7
+5 0 1 0 0 18 24 24 2.4
+5 0 1 0 0 18 24 25 2.1
+5 0 1 0 0 18 24 26 1.8
+5 0 1 0 0 18 24 27 1.5
+5 0 1 0 0 18 24 28 1.2
+5 0 1 0 0 18 24 29 0.9
+5 0 1 0 0 18 24 30 0.6
+5 0 1 0 0 18 24 31 0.3
+5 0 1 0 0 18 24 32 6.2803698347351e-16
+5 0 1 0 0 18 24 33 0.3
+5 0 1 0 0 18 24 34 0.6
+5 0 1 0 0 18 24 35 0.9
+5 0 1 0 0 18 24 36 1.2
+5 0 1 0 0 18 24 37 1.5
+5 0 1 0 0 18 24 38 1.8
+5 0 1 0 0 18 24 39 2.1
+5 0 1 0 0 18 24 40 2.4
+5 0 1 0 0 18 24 41 2.7
+5 0 1 0 0 18 24 42 3
+5 0 1 0 0 18 24 43 3.3
+5 0 1 0 0 18 24 44 3.6
+5 0 1 0 0 18 24 45 3.9
+5 0 1 0 0 18 24 46 4.2
+5 0 1 0 0 18 24 47 4.5
+5 0 1 0 0 18 24 48 4.8
+5 0 1 0 0 18 24 49 5.1
+5 0 1 0 0 18 24 50 5.4
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 4.5
+6 0 1 0 0 18 24 18 4.2
+6 0 1 0 0 18 24 19 3.9
+6 0 1 0 0 18 24 20 3.6
+6 0 1 0 0 18 24 21 3.3
+6 0 1 0 0 18 24 22 3
+6 0 1 0 0 18 24 23 2.7
+6 0 1 0 0 18 24 24 2.4
+6 0 1 0 0 18 24 25 2.1
+6 0 1 0 0 18 24 26 1.8
+6 0 1 0 0 18 24 27 1.5
+6 0 1 0 0 18 24 28 1.2
+6 0 1 0 0 18 24 29 0.9
+6 0 1 0 0 18 24 30 0.6
+6 0 1 0 0 18 24 31 0.3
+6 0 1 0 0 18 24 32 6.2803698347351e-16
+6 0 1 0 0 18 24 33 0.3
+6 0 1 0 0 18 24 34 0.6
+6 0 1 0 0 18 24 35 0.9
+6 0 1 0 0 18 24 36 1.2
+6 0 1 0 0 18 24 37 1.5
+6 0 1 0 0 18 24 38 1.8
+6 0 1 0 0 18 24 39 2.1
+6 0 1 0 0 18 24 40 2.4
+6 0 1 0 0 18 24 41 2.7
+6 0 1 0 0 18 24 42 3
+6 0 1 0 0 18 24 43 3.3
+6 0 1 0 0 18 24 44 3.6
+6 0 1 0 0 18 24 45 3.9
+6 0 1 0 0 18 24 46 4.2
+6 0 1 0 0 18 24 47 4.5
+6 0 1 0 0 18 24 48 4.8
+6 0 1 0 0 18 24 49 5.1
+6 0 1 0 0 18 24 50 5.4
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 9.6
+6 0 0 0 0 18 24 2 9
+6 0 0 0 0 18 24 4 8.4
+6 0 0 0 0 18 24 6 7.8
+6 0 0 0 0 18 24 8 7.2
+6 0 0 0 0 18 24 10 6.6
+6 0 0 0 0 18 24 12 6
+6 0 0 0 0 18 24 14 5.4
+6 0 0 0 0 18 24 16 4.8
+6 0 0 0 0 18 24 18 4.2
+6 0 0 0 0 18 24 20 3.6
+6 0 0 0 0 18 24 22 3
+6 0 0 0 0 18 24 24 2.4
+6 0 0 0 0 18 24 26 1.8
+6 0 0 0 0 18 24 28 1.2
+6 0 0 0 0 18 24 30 0.6
+6 0 0 0 0 18 24 32 6.2803698347351e-16
+6 0 0 0 0 18 24 34 0.6
+6 0 0 0 0 18 24 36 1.2
+6 0 0 0 0 18 24 38 1.8
+6 0 0 0 0 18 24 40 2.4
+6 0 0 0 0 18 24 42 3
+6 0 0 0 0 18 24 44 3.6
+6 0 0 0 0 18 24 46 4.2
+6 0 0 0 0 18 24 48 4.8
+6 0 0 0 0 18 24 50 5.4
+6 0 0 0 0 18 24 52 6
+6 0 0 0 0 18 24 54 6.6
+6 0 0 0 0 18 24 56 7.2
+6 0 0 0 0 18 24 58 7.8
+6 0 0 0 0 18 24 60 8.4
+6 0 0 0 0 18 24 62 9
+6 0 0 0 0 18 24 64 9.6
+6 0 0 0 0 18 24 66 10.2
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 4.5
+7 0 1 0 0 18 24 18 4.2
+7 0 1 0 0 18 24 19 3.9
+7 0 1 0 0 18 24 20 3.6
+7 0 1 0 0 18 24 21 3.3
+7 0 1 0 0 18 24 22 3
+7 0 1 0 0 18 24 23 2.7
+7 0 1 0 0 18 24 24 2.4
+7 0 1 0 0 18 24 25 2.1
+7 0 1 0 0 18 24 26 1.8
+7 0 1 0 0 18 24 27 1.5
+7 0 1 0 0 18 24 28 1.2
+7 0 1 0 0 18 24 29 0.9
+7 0 1 0 0 18 24 30 0.6
+7 0 1 0 0 18 24 31 0.3
+7 0 1 0 0 18 24 32 6.2803698347351e-16
+7 0 1 0 0 18 24 33 0.3
+7 0 1 0 0 18 24 34 0.6
+7 0 1 0 0 18 24 35 0.9
+7 0 1 0 0 18 24 36 1.2
+7 0 1 0 0 18 24 37 1.5
+7 0 1 0 0 18 24 38 1.8
+7 0 1 0 0 18 24 39 2.1
+7 0 1 0 0 18 24 40 2.4
+7 0 1 0 0 18 24 41 2.7
+7 0 1 0 0 18 24 42 3
+7 0 1 0 0 18 24 43 3.3
+7 0 1 0 0 18 24 44 3.6
+7 0 1 0 0 18 24 45 3.9
+7 0 1 0 0 18 24 46 4.2
+7 0 1 0 0 18 24 47 4.5
+7 0 1 0 0 18 24 48 4.8
+7 0 1 0 0 18 24 49 5.1
+7 0 1 0 0 18 24 50 5.4
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 4.5
+8 0 1 0 0 18 24 18 4.2
+8 0 1 0 0 18 24 19 3.9
+8 0 1 0 0 18 24 20 3.6
+8 0 1 0 0 18 24 21 3.3
+8 0 1 0 0 18 24 22 3
+8 0 1 0 0 18 24 23 2.7
+8 0 1 0 0 18 24 24 2.4
+8 0 1 0 0 18 24 25 2.1
+8 0 1 0 0 18 24 26 1.8
+8 0 1 0 0 18 24 27 1.5
+8 0 1 0 0 18 24 28 1.2
+8 0 1 0 0 18 24 29 0.9
+8 0 1 0 0 18 24 30 0.6
+8 0 1 0 0 18 24 31 0.3
+8 0 1 0 0 18 24 32 6.2803698347351e-16
+8 0 1 0 0 18 24 33 0.3
+8 0 1 0 0 18 24 34 0.6
+8 0 1 0 0 18 24 35 0.9
+8 0 1 0 0 18 24 36 1.2
+8 0 1 0 0 18 24 37 1.5
+8 0 1 0 0 18 24 38 1.8
+8 0 1 0 0 18 24 39 2.1
+8 0 1 0 0 18 24 40 2.4
+8 0 1 0 0 18 24 41 2.7
+8 0 1 0 0 18 24 42 3
+8 0 1 0 0 18 24 43 3.3
+8 0 1 0 0 18 24 44 3.6
+8 0 1 0 0 18 24 45 3.9
+8 0 1 0 0 18 24 46 4.2
+8 0 1 0 0 18 24 47 4.5
+8 0 1 0 0 18 24 48 4.8
+8 0 1 0 0 18 24 49 5.1
+8 0 1 0 0 18 24 50 5.4
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 9.6
+8 0 0 0 0 18 24 2 9
+8 0 0 0 0 18 24 4 8.4
+8 0 0 0 0 18 24 6 7.8
+8 0 0 0 0 18 24 8 7.2
+8 0 0 0 0 18 24 10 6.6
+8 0 0 0 0 18 24 12 6
+8 0 0 0 0 18 24 14 5.4
+8 0 0 0 0 18 24 16 4.8
+8 0 0 0 0 18 24 18 4.2
+8 0 0 0 0 18 24 20 3.6
+8 0 0 0 0 18 24 22 3
+8 0 0 0 0 18 24 24 2.4
+8 0 0 0 0 18 24 26 1.8
+8 0 0 0 0 18 24 28 1.2
+8 0 0 0 0 18 24 30 0.6
+8 0 0 0 0 18 24 32 6.2803698347351e-16
+8 0 0 0 0 18 24 34 0.6
+8 0 0 0 0 18 24 36 1.2
+8 0 0 0 0 18 24 38 1.8
+8 0 0 0 0 18 24 40 2.4
+8 0 0 0 0 18 24 42 3
+8 0 0 0 0 18 24 44 3.6
+8 0 0 0 0 18 24 46 4.2
+8 0 0 0 0 18 24 48 4.8
+8 0 0 0 0 18 24 50 5.4
+8 0 0 0 0 18 24 52 6
+8 0 0 0 0 18 24 54 6.6
+8 0 0 0 0 18 24 56 7.2
+8 0 0 0 0 18 24 58 7.8
+8 0 0 0 0 18 24 60 8.4
+8 0 0 0 0 18 24 62 9
+8 0 0 0 0 18 24 64 9.6
+8 0 0 0 0 18 24 66 10.2
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 4.5
+9 0 1 0 0 18 24 18 4.2
+9 0 1 0 0 18 24 19 3.9
+9 0 1 0 0 18 24 20 3.6
+9 0 1 0 0 18 24 21 3.3
+9 0 1 0 0 18 24 22 3
+9 0 1 0 0 18 24 23 2.7
+9 0 1 0 0 18 24 24 2.4
+9 0 1 0 0 18 24 25 2.1
+9 0 1 0 0 18 24 26 1.8
+9 0 1 0 0 18 24 27 1.5
+9 0 1 0 0 18 24 28 1.2
+9 0 1 0 0 18 24 29 0.9
+9 0 1 0 0 18 24 30 0.6
+9 0 1 0 0 18 24 31 0.3
+9 0 1 0 0 18 24 32 6.2803698347351e-16
+9 0 1 0 0 18 24 33 0.3
+9 0 1 0 0 18 24 34 0.6
+9 0 1 0 0 18 24 35 0.9
+9 0 1 0 0 18 24 36 1.2
+9 0 1 0 0 18 24 37 1.5
+9 0 1 0 0 18 24 38 1.8
+9 0 1 0 0 18 24 39 2.1
+9 0 1 0 0 18 24 40 2.4
+9 0 1 0 0 18 24 41 2.7
+9 0 1 0 0 18 24 42 3
+9 0 1 0 0 18 24 43 3.3
+9 0 1 0 0 18 24 44 3.6
+9 0 1 0 0 18 24 45 3.9
+9 0 1 0 0 18 24 46 4.2
+9 0 1 0 0 18 24 47 4.5
+9 0 1 0 0 18 24 48 4.8
+9 0 1 0 0 18 24 49 5.1
+9 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 4.5
+10 0 1 0 0 18 24 18 4.2
+10 0 1 0 0 18 24 19 3.9
+10 0 1 0 0 18 24 20 3.6
+10 0 1 0 0 18 24 21 3.3
+10 0 1 0 0 18 24 22 3
+10 0 1 0 0 18 24 23 2.7
+10 0 1 0 0 18 24 24 2.4
+10 0 1 0 0 18 24 25 2.1
+10 0 1 0 0 18 24 26 1.8
+10 0 1 0 0 18 24 27 1.5
+10 0 1 0 0 18 24 28 1.2
+10 0 1 0 0 18 24 29 0.9
+10 0 1 0 0 18 24 30 0.6
+10 0 1 0 0 18 24 31 0.3
+10 0 1 0 0 18 24 32 6.2803698347351e-16
+10 0 1 0 0 18 24 33 0.3
+10 0 1 0 0 18 24 34 0.6
+10 0 1 0 0 18 24 35 0.9
+10 0 1 0 0 18 24 36 1.2
+10 0 1 0 0 18 24 37 1.5
+10 0 1 0 0 18 24 38 1.8
+10 0 1 0 0 18 24 39 2.1
+10 0 1 0 0 18 24 40 2.4
+10 0 1 0 0 18 24 41 2.7
+10 0 1 0 0 18 24 42 3
+10 0 1 0 0 18 24 43 3.3
+10 0 1 0 0 18 24 44 3.6
+10 0 1 0 0 18 24 45 3.9
+10 0 1 0 0 18 24 46 4.2
+10 0 1 0 0 18 24 47 4.5
+10 0 1 0 0 18 24 48 4.8
+10 0 1 0 0 18 24 49 5.1
+10 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 9.6
+10 0 0 0 0 18 24 2 9
+10 0 0 0 0 18 24 4 8.4
+10 0 0 0 0 18 24 6 7.8
+10 0 0 0 0 18 24 8 7.2
+10 0 0 0 0 18 24 10 6.6
+10 0 0 0 0 18 24 12 6
+10 0 0 0 0 18 24 14 5.4
+10 0 0 0 0 18 24 16 4.8
+10 0 0 0 0 18 24 18 4.2
+10 0 0 0 0 18 24 20 3.6
+10 0 0 0 0 18 24 22 3
+10 0 0 0 0 18 24 24 2.4
+10 0 0 0 0 18 24 26 1.8
+10 0 0 0 0 18 24 28 1.2
+10 0 0 0 0 18 24 30 0.6
+10 0 0 0 0 18 24 32 6.2803698347351e-16
+10 0 0 0 0 18 24 34 0.6
+10 0 0 0 0 18 24 36 1.2
+10 0 0 0 0 18 24 38 1.8
+10 0 0 0 0 18 24 40 2.4
+10 0 0 0 0 18 24 42 3
+10 0 0 0 0 18 24 44 3.6
+10 0 0 0 0 18 24 46 4.2
+10 0 0 0 0 18 24 48 4.8
+10 0 0 0 0 18 24 50 5.4
+10 0 0 0 0 18 24 52 6
+10 0 0 0 0 18 24 54 6.6
+10 0 0 0 0 18 24 56 7.2
+10 0 0 0 0 18 24 58 7.8
+10 0 0 0 0 18 24 60 8.4
+10 0 0 0 0 18 24 62 9
+10 0 0 0 0 18 24 64 9.6
+10 0 0 0 0 18 24 66 10.2
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 4.5
+11 0 1 0 0 18 24 18 4.2
+11 0 1 0 0 18 24 19 3.9
+11 0 1 0 0 18 24 20 3.6
+11 0 1 0 0 18 24 21 3.3
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+11 0 1 0 0 18 24 23 2.7
+11 0 1 0 0 18 24 24 2.4
+11 0 1 0 0 18 24 25 2.1
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+11 0 1 0 0 18 24 30 0.6
+11 0 1 0 0 18 24 31 0.3
+11 0 1 0 0 18 24 32 6.2803698347351e-16
+11 0 1 0 0 18 24 33 0.3
+11 0 1 0 0 18 24 34 0.6
+11 0 1 0 0 18 24 35 0.9
+11 0 1 0 0 18 24 36 1.2
+11 0 1 0 0 18 24 37 1.5
+11 0 1 0 0 18 24 38 1.8
+11 0 1 0 0 18 24 39 2.1
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+11 0 1 0 0 18 24 41 2.7
+11 0 1 0 0 18 24 42 3
+11 0 1 0 0 18 24 43 3.3
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+11 0 1 0 0 18 24 45 3.9
+11 0 1 0 0 18 24 46 4.2
+11 0 1 0 0 18 24 47 4.5
+11 0 1 0 0 18 24 48 4.8
+11 0 1 0 0 18 24 49 5.1
+11 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 4.5
+12 0 1 0 0 18 24 18 4.2
+12 0 1 0 0 18 24 19 3.9
+12 0 1 0 0 18 24 20 3.6
+12 0 1 0 0 18 24 21 3.3
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+12 0 1 0 0 18 24 23 2.7
+12 0 1 0 0 18 24 24 2.4
+12 0 1 0 0 18 24 25 2.1
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+12 0 1 0 0 18 24 28 1.2
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+12 0 1 0 0 18 24 30 0.6
+12 0 1 0 0 18 24 31 0.3
+12 0 1 0 0 18 24 32 6.2803698347351e-16
+12 0 1 0 0 18 24 33 0.3
+12 0 1 0 0 18 24 34 0.6
+12 0 1 0 0 18 24 35 0.9
+12 0 1 0 0 18 24 36 1.2
+12 0 1 0 0 18 24 37 1.5
+12 0 1 0 0 18 24 38 1.8
+12 0 1 0 0 18 24 39 2.1
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+12 0 1 0 0 18 24 41 2.7
+12 0 1 0 0 18 24 42 3
+12 0 1 0 0 18 24 43 3.3
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+12 0 1 0 0 18 24 45 3.9
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+12 0 1 0 0 18 24 47 4.5
+12 0 1 0 0 18 24 48 4.8
+12 0 1 0 0 18 24 49 5.1
+12 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 9.6
+12 0 0 0 0 18 24 2 9
+12 0 0 0 0 18 24 4 8.4
+12 0 0 0 0 18 24 6 7.8
+12 0 0 0 0 18 24 8 7.2
+12 0 0 0 0 18 24 10 6.6
+12 0 0 0 0 18 24 12 6
+12 0 0 0 0 18 24 14 5.4
+12 0 0 0 0 18 24 16 4.8
+12 0 0 0 0 18 24 18 4.2
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+12 0 0 0 0 18 24 30 0.6
+12 0 0 0 0 18 24 32 6.2803698347351e-16
+12 0 0 0 0 18 24 34 0.6
+12 0 0 0 0 18 24 36 1.2
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+12 0 0 0 0 18 24 40 2.4
+12 0 0 0 0 18 24 42 3
+12 0 0 0 0 18 24 44 3.6
+12 0 0 0 0 18 24 46 4.2
+12 0 0 0 0 18 24 48 4.8
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+12 0 0 0 0 18 24 52 6
+12 0 0 0 0 18 24 54 6.6
+12 0 0 0 0 18 24 56 7.2
+12 0 0 0 0 18 24 58 7.8
+12 0 0 0 0 18 24 60 8.4
+12 0 0 0 0 18 24 62 9
+12 0 0 0 0 18 24 64 9.6
+12 0 0 0 0 18 24 66 10.2
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/u.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/u.xl
new file mode 100644
index 000000000..8cf8dd5ad
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/u.xl
@@ -0,0 +1,482 @@
+# HYDROTOY::u x (u)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -0.309016994374946
+0 0 1 0 0 10 24 32 -0.104528463267652
+0 0 1 0 0 11 24 32 0.104528463267655
+0 0 1 0 0 12 24 32 0.309016994374949
+0 0 1 0 0 13 24 32 0.500000000000001
+0 0 1 0 0 14 24 32 0.669130606358859
+0 0 1 0 0 15 24 32 0.809016994374948
+0 0 1 0 0 16 24 32 0.913545457642601
+0 0 1 0 0 17 24 32 0.978147600733806
+0 0 1 0 0 18 24 32 1
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+0 0 1 0 0 20 24 32 0.913545457642601
+0 0 1 0 0 21 24 32 0.809016994374948
+0 0 1 0 0 22 24 32 0.669130606358859
+0 0 1 0 0 23 24 32 0.500000000000001
+0 0 1 0 0 24 24 32 0.309016994374949
+0 0 1 0 0 25 24 32 0.104528463267655
+0 0 1 0 0 26 24 32 -0.104528463267652
+0 0 1 0 0 27 24 32 -0.309016994374946
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -0.80901699437495
+0 0 0 0 0 2 24 32 -0.978147600733806
+0 0 0 0 0 4 24 32 -0.978147600733805
+0 0 0 0 0 6 24 32 -0.809016994374946
+0 0 0 0 0 8 24 32 -0.499999999999998
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+0 0 0 0 0 12 24 32 0.309016994374949
+0 0 0 0 0 14 24 32 0.669130606358859
+0 0 0 0 0 16 24 32 0.913545457642601
+0 0 0 0 0 18 24 32 1
+0 0 0 0 0 20 24 32 0.913545457642601
+0 0 0 0 0 22 24 32 0.669130606358859
+0 0 0 0 0 24 24 32 0.309016994374949
+0 0 0 0 0 26 24 32 -0.104528463267652
+0 0 0 0 0 28 24 32 -0.499999999999998
+0 0 0 0 0 30 24 32 -0.809016994374946
+0 0 0 0 0 32 24 32 -0.978147600733805
+0 0 0 0 0 34 24 32 -0.978147600733806
+0 0 0 0 0 36 24 32 -0.809016994374949
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -0.152431492460527
+1 0 1 0 0 10 24 32 0.0563600193614062
+1 0 1 0 0 11 24 32 0.265712841995523
+1 0 1 0 0 12 24 32 0.460231992899264
+1 0 1 0 0 13 24 32 0.634779370549878
+1 0 1 0 0 14 24 32 0.781583843698094
+1 0 1 0 0 15 24 32 0.894229352421314
+1 0 1 0 0 16 24 32 0.967792747455213
+1 0 1 0 0 17 24 32 0.999058955440474
+1 0 1 0 0 18 24 32 0.986661493056231
+1 0 1 0 0 19 24 32 0.9311421888983
+1 0 1 0 0 20 24 32 0.834927502969561
+1 0 1 0 0 21 24 32 0.702222478734387
+1 0 1 0 0 22 24 32 0.538826962541212
+1 0 1 0 0 23 24 32 0.351882122506354
+1 0 1 0 0 24 24 32 0.149558345200208
+1 0 1 0 0 25 24 32 -0.0589516342688979
+1 0 1 0 0 26 24 32 -0.26279679501044
+1 0 1 0 0 27 24 32 -0.457422597155463
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0.0113922603551225
+2 0 1 0 0 10 24 32 0.219322218933327
+2 0 1 0 0 11 24 32 0.420199068973527
+2 0 1 0 0 12 24 32 0.598974103207183
+2 0 1 0 0 13 24 32 0.752540220547164
+2 0 1 0 0 14 24 32 0.873067709099339
+2 0 1 0 0 15 24 32 0.955442404735028
+2 0 1 0 0 16 24 32 0.996059682562471
+2 0 1 0 0 17 24 32 0.993144372637286
+2 0 1 0 0 18 24 32 0.946823887992414
+2 0 1 0 0 19 24 32 0.85912265607718
+2 0 1 0 0 20 24 32 0.733873641563482
+2 0 1 0 0 21 24 32 0.576550827397022
+2 0 1 0 0 22 24 32 0.394029975475493
+2 0 1 0 0 23 24 32 0.19429906708455
+2 0 1 0 0 24 24 32 -0.0137281404892237
+2 0 1 0 0 25 24 32 -0.220507844906553
+2 0 1 0 0 26 24 32 -0.417658637620938
+2 0 1 0 0 27 24 32 -0.597316331665305
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -0.955765485796519
+2 0 0 0 0 2 24 32 -0.994570500607911
+2 0 0 0 0 4 24 32 -0.861405240474848
+2 0 0 0 0 6 24 32 -0.579295188642749
+2 0 0 0 0 8 24 32 -0.197019735962746
+2 0 0 0 0 10 24 32 0.219322218933327
+2 0 0 0 0 12 24 32 0.598974103207183
+2 0 0 0 0 14 24 32 0.873067709099339
+2 0 0 0 0 16 24 32 0.996059682562471
+2 0 0 0 0 18 24 32 0.946823887992414
+2 0 0 0 0 20 24 32 0.733873641563482
+2 0 0 0 0 22 24 32 0.394029975475493
+2 0 0 0 0 24 24 32 -0.0137281404892237
+2 0 0 0 0 26 24 32 -0.417658637620938
+2 0 0 0 0 28 24 32 -0.751699935634057
+2 0 0 0 0 30 24 32 -0.955765485796519
+2 0 0 0 0 32 24 32 -0.994570500607911
+2 0 0 0 0 34 24 32 -0.861405240474848
+2 0 0 0 0 36 24 32 -0.579295188642749
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0.171349756747298
+3 0 1 0 0 10 24 32 0.37302994818531
+3 0 1 0 0 11 24 32 0.563783809688289
+3 0 1 0 0 12 24 32 0.721499908171139
+3 0 1 0 0 13 24 32 0.850154280683583
+3 0 1 0 0 14 24 32 0.941115783519556
+3 0 1 0 0 15 24 32 0.991008148479049
+3 0 1 0 0 16 24 32 0.99758253409576
+3 0 1 0 0 17 24 32 0.9605579152721
+3 0 1 0 0 18 24 32 0.881552306282781
+3 0 1 0 0 19 24 32 0.764018631351612
+3 0 1 0 0 20 24 32 0.613093676062228
+3 0 1 0 0 21 24 32 0.435373927186078
+3 0 1 0 0 22 24 32 0.238636428032212
+3 0 1 0 0 23 24 32 0.0315286619978711
+3 0 1 0 0 24 24 32 -0.176467338608868
+3 0 1 0 0 25 24 32 -0.375858081945995
+3 0 1 0 0 26 24 32 -0.557909062861019
+3 0 1 0 0 27 24 32 -0.718088116175499
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0.331369835442095
+4 0 1 0 0 10 24 32 0.52125926953829
+4 0 1 0 0 11 24 32 0.692453188571697
+4 0 1 0 0 12 24 32 0.824318927940837
+4 0 1 0 0 13 24 32 0.925035227355309
+4 0 1 0 0 14 24 32 0.983877589389137
+4 0 1 0 0 15 24 32 0.999969249572379
+4 0 1 0 0 16 24 32 0.972315416327738
+4 0 1 0 0 17 24 32 0.902169949369122
+4 0 1 0 0 18 24 32 0.792595086557144
+4 0 1 0 0 19 24 32 0.648380030208135
+4 0 1 0 0 20 24 32 0.475828100564657
+4 0 1 0 0 21 24 32 0.282483956955703
+4 0 1 0 0 22 24 32 0.0768443101603671
+4 0 1 0 0 23 24 32 -0.132015589095668
+4 0 1 0 0 24 24 32 -0.334121959032263
+4 0 1 0 0 25 24 32 -0.520934719419604
+4 0 1 0 0 26 24 32 -0.68728304681006
+4 0 1 0 0 27 24 32 -0.823492371704531
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -1.00236259183865
+4 0 0 0 0 2 24 32 -0.906417389262528
+4 0 0 0 0 4 24 32 -0.653744385539442
+4 0 0 0 0 6 24 32 -0.288033038475295
+4 0 0 0 0 8 24 32 0.127520360561461
+4 0 0 0 0 10 24 32 0.52125926953829
+4 0 0 0 0 12 24 32 0.824318927940837
+4 0 0 0 0 14 24 32 0.983877589389137
+4 0 0 0 0 16 24 32 0.972315416327738
+4 0 0 0 0 18 24 32 0.792595086557144
+4 0 0 0 0 20 24 32 0.475828100564657
+4 0 0 0 0 22 24 32 0.0768443101603671
+4 0 0 0 0 24 24 32 -0.334121959032263
+4 0 0 0 0 26 24 32 -0.68728304681006
+4 0 0 0 0 28 24 32 -0.925062939033713
+4 0 0 0 0 30 24 32 -1.00236259183865
+4 0 0 0 0 32 24 32 -0.906417389262528
+4 0 0 0 0 34 24 32 -0.653744385539442
+4 0 0 0 0 36 24 32 -0.288033038475295
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0.478674354469475
+5 0 1 0 0 10 24 32 0.651883975022567
+5 0 1 0 0 11 24 32 0.802603360438287
+5 0 1 0 0 12 24 32 0.904792854474189
+5 0 1 0 0 13 24 32 0.975228288527885
+5 0 1 0 0 14 24 32 1.00016547948089
+5 0 1 0 0 15 24 32 0.982087177231643
+5 0 1 0 0 16 24 32 0.920930488121484
+5 0 1 0 0 17 24 32 0.819544008373424
+5 0 1 0 0 18 24 32 0.682336964479598
+5 0 1 0 0 19 24 32 0.51530886832818
+5 0 1 0 0 20 24 32 0.325762837444828
+5 0 1 0 0 21 24 32 0.121994076566069
+5 0 1 0 0 22 24 32 -0.0869601777623123
+5 0 1 0 0 23 24 32 -0.291880650420994
+5 0 1 0 0 24 24 32 -0.482589582964527
+5 0 1 0 0 25 24 32 -0.65202139868977
+5 0 1 0 0 26 24 32 -0.795236164334502
+5 0 1 0 0 27 24 32 -0.904345314836598
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0.617395335743131
+6 0 1 0 0 10 24 32 0.768946133961375
+6 0 1 0 0 11 24 32 0.891215451308214
+6 0 1 0 0 12 24 32 0.960696031417079
+6 0 1 0 0 13 24 32 0.999404903274617
+6 0 1 0 0 14 24 32 0.989490889405043
+6 0 1 0 0 15 24 32 0.937851848781089
+6 0 1 0 0 16 24 32 0.844798195570854
+6 0 1 0 0 17 24 32 0.714895320641711
+6 0 1 0 0 18 24 32 0.553735196254365
+6 0 1 0 0 19 24 32 0.368376591744159
+6 0 1 0 0 20 24 32 0.166932568067746
+6 0 1 0 0 21 24 32 -0.0417691937199033
+6 0 1 0 0 22 24 32 -0.248326586803265
+6 0 1 0 0 23 24 32 -0.443749059121955
+6 0 1 0 0 24 24 32 -0.617867255427767
+6 0 1 0 0 25 24 32 -0.765704851816094
+6 0 1 0 0 26 24 32 -0.885283223812199
+6 0 1 0 0 27 24 32 -0.963815789619906
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -0.943615927152599
+6 0 0 0 0 2 24 32 -0.722688394071916
+6 0 0 0 0 4 24 32 -0.37676865988688
+6 0 0 0 0 6 24 32 0.0343121524537051
+6 0 0 0 0 8 24 32 0.439528384756691
+6 0 0 0 0 10 24 32 0.768946133961375
+6 0 0 0 0 12 24 32 0.960696031417079
+6 0 0 0 0 14 24 32 0.989490889405043
+6 0 0 0 0 16 24 32 0.844798195570854
+6 0 0 0 0 18 24 32 0.553735196254365
+6 0 0 0 0 20 24 32 0.166932568067746
+6 0 0 0 0 22 24 32 -0.248326586803265
+6 0 0 0 0 24 24 32 -0.617867255427767
+6 0 0 0 0 26 24 32 -0.885283223812199
+6 0 0 0 0 28 24 32 -1.00170639001759
+6 0 0 0 0 30 24 32 -0.943615927152599
+6 0 0 0 0 32 24 32 -0.722688394071916
+6 0 0 0 0 34 24 32 -0.37676865988688
+6 0 0 0 0 36 24 32 0.0343121524537051
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0.736330115911865
+7 0 1 0 0 10 24 32 0.862406152522103
+7 0 1 0 0 11 24 32 0.95579459295023
+7 0 1 0 0 12 24 32 0.990734178742021
+7 0 1 0 0 13 24 32 0.99693121242864
+7 0 1 0 0 14 24 32 0.952088786530713
+7 0 1 0 0 15 24 32 0.868468451342779
+7 0 1 0 0 16 24 32 0.745948107939823
+7 0 1 0 0 17 24 32 0.591032266688689
+7 0 1 0 0 18 24 32 0.410240353910859
+7 0 1 0 0 19 24 32 0.211529239202436
+7 0 1 0 0 20 24 32 0.00361499242052341
+7 0 1 0 0 21 24 32 -0.204382748665131
+7 0 1 0 0 22 24 32 -0.402873488140789
+7 0 1 0 0 23 24 32 -0.583532131041882
+7 0 1 0 0 24 24 32 -0.736542362549316
+7 0 1 0 0 25 24 32 -0.859139672652872
+7 0 1 0 0 26 24 32 -0.94970976345133
+7 0 1 0 0 27 24 32 -0.996264246909497
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0.838862723137504
+8 0 1 0 0 10 24 32 0.935610561982288
+8 0 1 0 0 11 24 32 0.994628423231998
+8 0 1 0 0 12 24 32 0.994132592113626
+8 0 1 0 0 13 24 32 0.967840014463343
+8 0 1 0 0 14 24 32 0.888923321558275
+8 0 1 0 0 15 24 32 0.775823555995315
+8 0 1 0 0 16 24 32 0.627012972050091
+8 0 1 0 0 17 24 32 0.451282321642457
+8 0 1 0 0 18 24 32 0.255703886221418
+8 0 1 0 0 19 24 32 0.0489828863328094
+8 0 1 0 0 20 24 32 -0.159782864896216
+8 0 1 0 0 21 24 32 -0.361448566164784
+8 0 1 0 0 22 24 32 -0.546419954874854
+8 0 1 0 0 23 24 32 -0.707521526932693
+8 0 1 0 0 24 24 32 -0.835533291450187
+8 0 1 0 0 25 24 32 -0.929904397185239
+8 0 1 0 0 26 24 32 -0.991087270515836
+8 0 1 0 0 27 24 32 -1.00349818489193
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -0.785401097599552
+8 0 0 0 0 2 24 32 -0.462470069409471
+8 0 0 0 0 4 24 32 -0.0594243341735509
+8 0 0 0 0 6 24 32 0.353920038195863
+8 0 0 0 0 8 24 32 0.705950106049266
+8 0 0 0 0 10 24 32 0.935610561982288
+8 0 0 0 0 12 24 32 0.994132592113626
+8 0 0 0 0 14 24 32 0.888923321558275
+8 0 0 0 0 16 24 32 0.627012972050091
+8 0 0 0 0 18 24 32 0.255703886221418
+8 0 0 0 0 20 24 32 -0.159782864896216
+8 0 0 0 0 22 24 32 -0.546419954874854
+8 0 0 0 0 24 24 32 -0.835533291450187
+8 0 0 0 0 26 24 32 -0.991087270515836
+8 0 0 0 0 28 24 32 -0.973203289593378
+8 0 0 0 0 30 24 32 -0.785401097599552
+8 0 0 0 0 32 24 32 -0.462470069409471
+8 0 0 0 0 34 24 32 -0.0594243341735509
+8 0 0 0 0 36 24 32 0.353920038195863
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0.91658986421557
+9 0 1 0 0 10 24 32 0.981763871486667
+9 0 1 0 0 11 24 32 1.0066169364839
+9 0 1 0 0 12 24 32 0.970999404785819
+9 0 1 0 0 13 24 32 0.912869387001779
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+9 0 1 0 0 17 24 32 0.299404205210832
+9 0 1 0 0 18 24 32 0.0942748397340916
+9 0 1 0 0 19 24 32 -0.114888196090703
+9 0 1 0 0 20 24 32 -0.318844020015812
+9 0 1 0 0 21 24 32 -0.508718900960069
+9 0 1 0 0 22 24 32 -0.675114009446393
+9 0 1 0 0 23 24 32 -0.81246368471118
+9 0 1 0 0 24 24 32 -0.912411266086651
+9 0 1 0 0 25 24 32 -0.97626237727215
+9 0 1 0 0 26 24 32 -1.00524856678344
+9 0 1 0 0 27 24 32 -0.983992407907269
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0.971850100257036
+10 0 1 0 0 10 24 32 1.00313124465366
+10 0 1 0 0 11 24 32 0.991528679071851
+10 0 1 0 0 12 24 32 0.922004453358295
+10 0 1 0 0 13 24 32 0.833420512202493
+10 0 1 0 0 14 24 32 0.692708921524164
+10 0 1 0 0 15 24 32 0.531349291579165
+10 0 1 0 0 16 24 32 0.341998960178511
+10 0 1 0 0 17 24 32 0.139488127048167
+10 0 1 0 0 18 24 32 -0.0697116262111016
+10 0 1 0 0 19 24 32 -0.275668248137387
+10 0 1 0 0 20 24 32 -0.469264688434764
+10 0 1 0 0 21 24 32 -0.642219424235716
+10 0 1 0 0 22 24 32 -0.785544911642833
+10 0 1 0 0 23 24 32 -0.895662854989526
+10 0 1 0 0 24 24 32 -0.965251381719683
+10 0 1 0 0 25 24 32 -0.99698070677122
+10 0 1 0 0 26 24 32 -0.993582711661571
+10 0 1 0 0 27 24 32 -0.938049325883729
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -0.544108296485016
+10 0 0 0 0 2 24 32 -0.152945112322822
+10 0 0 0 0 4 24 32 0.265014027342572
+10 0 0 0 0 6 24 32 0.637115259059445
+10 0 0 0 0 8 24 32 0.898298892039585
+10 0 0 0 0 10 24 32 1.00313124465366
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+10 0 0 0 0 16 24 32 0.341998960178511
+10 0 0 0 0 18 24 32 -0.0697116262111016
+10 0 0 0 0 20 24 32 -0.469264688434764
+10 0 0 0 0 22 24 32 -0.785544911642833
+10 0 0 0 0 24 24 32 -0.965251381719683
+10 0 0 0 0 26 24 32 -0.993582711661571
+10 0 0 0 0 28 24 32 -0.842024566008794
+10 0 0 0 0 30 24 32 -0.544108296485016
+10 0 0 0 0 32 24 32 -0.152945112322822
+10 0 0 0 0 34 24 32 0.265014027342572
+10 0 0 0 0 36 24 32 0.637115259059445
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0.999879243019927
+11 0 1 0 0 10 24 32 0.996930335266479
+11 0 1 0 0 11 24 32 0.949748824123315
+11 0 1 0 0 12 24 32 0.84856275995336
+11 0 1 0 0 13 24 32 0.731558699883146
+11 0 1 0 0 14 24 32 0.565003142577215
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+11 0 1 0 0 16 24 32 0.183510041743399
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+11 0 1 0 0 19 24 32 -0.429019157014972
+11 0 1 0 0 20 24 32 -0.60697770920531
+11 0 1 0 0 21 24 32 -0.758366326705795
+11 0 1 0 0 22 24 32 -0.874839427841538
+11 0 1 0 0 23 24 32 -0.955024598462772
+11 0 1 0 0 24 24 32 -0.99277028649328
+11 0 1 0 0 25 24 32 -0.991573504908253
+11 0 1 0 0 26 24 32 -0.955854008527544
+11 0 1 0 0 27 24 32 -0.868364061989262
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 1.00183390378326
+12 0 1 0 0 10 24 32 0.964088592064054
+12 0 1 0 0 11 24 32 0.88250694324697
+12 0 1 0 0 12 24 32 0.752655247401084
+12 0 1 0 0 13 24 32 0.609953579348451
+12 0 1 0 0 14 24 32 0.422073427905048
+12 0 1 0 0 15 24 32 0.230601918884888
+12 0 1 0 0 16 24 32 0.0199252809509673
+12 0 1 0 0 17 24 32 -0.18710465320856
+12 0 1 0 0 18 24 32 -0.387789018307074
+12 0 1 0 0 19 24 32 -0.57079938394335
+12 0 1 0 0 20 24 32 -0.728272314896891
+12 0 1 0 0 21 24 32 -0.85407117215388
+12 0 1 0 0 22 24 32 -0.940731725229683
+12 0 1 0 0 23 24 32 -0.989102266501113
+12 0 1 0 0 24 24 32 -0.994316517086919
+12 0 1 0 0 25 24 32 -0.96010196429352
+12 0 1 0 0 26 24 32 -0.892141022922255
+12 0 1 0 0 27 24 32 -0.7737842846164
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -0.244963853205913
+12 0 0 0 0 2 24 32 0.173462314035035
+12 0 0 0 0 4 24 32 0.562409029464656
+12 0 0 0 0 6 24 32 0.853891430432549
+12 0 0 0 0 8 24 32 0.995797150823057
+12 0 0 0 0 10 24 32 0.964088592064054
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+12 0 0 0 0 14 24 32 0.422073427905048
+12 0 0 0 0 16 24 32 0.0199252809509673
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+12 0 0 0 0 20 24 32 -0.728272314896891
+12 0 0 0 0 22 24 32 -0.940731725229683
+12 0 0 0 0 24 24 32 -0.994316517086919
+12 0 0 0 0 26 24 32 -0.892141022922255
+12 0 0 0 0 28 24 32 -0.621426120391927
+12 0 0 0 0 30 24 32 -0.244963853205913
+12 0 0 0 0 32 24 32 0.173462314035035
+12 0 0 0 0 34 24 32 0.562409029464656
+12 0 0 0 0 36 24 32 0.853891430432549
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/u.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/u.yl
new file mode 100644
index 000000000..8b6c2e622
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/u.yl
@@ -0,0 +1,622 @@
+# HYDROTOY::u y (u)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -4.60170638573454e-15
+0 0 1 0 0 18 14 32 0.142314838273281
+0 0 1 0 0 18 15 32 0.281732556841426
+0 0 1 0 0 18 16 32 0.415415013001883
+0 0 1 0 0 18 17 32 0.540640817455595
+0 0 1 0 0 18 18 32 0.654860733945283
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+0 0 1 0 0 18 20 32 0.84125353283118
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+0 0 1 0 0 18 24 32 1
+0 0 1 0 0 18 25 32 0.989821441880933
+0 0 1 0 0 18 26 32 0.959492973614497
+0 0 1 0 0 18 27 32 0.909631995354518
+0 0 1 0 0 18 28 32 0.84125353283118
+0 0 1 0 0 18 29 32 0.755749574354257
+0 0 1 0 0 18 30 32 0.654860733945283
+0 0 1 0 0 18 31 32 0.540640817455595
+0 0 1 0 0 18 32 32 0.415415013001883
+0 0 1 0 0 18 33 32 0.281732556841426
+0 0 1 0 0 18 34 32 0.142314838273281
+0 0 1 0 0 18 35 32 -4.82375099065957e-15
+0 0 1 0 0 18 36 32 -0.142314838273291
+0 0 1 0 0 18 37 32 -0.281732556841435
+0 0 1 0 0 18 38 32 -0.415415013001892
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -0.959492973614494
+0 0 0 0 0 18 2 32 -1
+0 0 0 0 0 18 4 32 -0.9594929736145
+0 0 0 0 0 18 6 32 -0.841253532831185
+0 0 0 0 0 18 8 32 -0.65486073394529
+0 0 0 0 0 18 10 32 -0.415415013001892
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+0 0 0 0 0 18 20 32 0.84125353283118
+0 0 0 0 0 18 22 32 0.959492973614497
+0 0 0 0 0 18 24 32 1
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+0 0 0 0 0 18 28 32 0.84125353283118
+0 0 0 0 0 18 30 32 0.654860733945283
+0 0 0 0 0 18 32 32 0.415415013001883
+0 0 0 0 0 18 34 32 0.142314838273281
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+0 0 0 0 0 18 38 32 -0.415415013001892
+0 0 0 0 0 18 40 32 -0.65486073394529
+0 0 0 0 0 18 42 32 -0.841253532831186
+0 0 0 0 0 18 44 32 -0.9594929736145
+0 0 0 0 0 18 46 32 -1
+0 0 0 0 0 18 48 32 -0.959492973614494
+0 0 0 0 0 18 50 32 -0.841253532831175
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0.160432558454101
+1 0 1 0 0 18 14 32 0.299355363480423
+1 0 1 0 0 18 15 32 0.434887450436028
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+1 0 1 0 0 18 24 32 0.986661493056231
+1 0 1 0 0 18 25 32 0.953374304989386
+1 0 1 0 0 18 26 32 0.900679165377422
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+1 0 1 0 0 18 29 32 0.638710074331772
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+1 0 1 0 0 18 36 32 -0.301789547539521
+1 0 1 0 0 18 37 32 -0.432092373697179
+1 0 1 0 0 18 38 32 -0.556165730036812
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0.320195163949167
+2 0 1 0 0 18 14 32 0.452002019295973
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+2 0 1 0 0 18 24 32 0.946823887992414
+2 0 1 0 0 18 25 32 0.891317883682107
+2 0 1 0 0 18 26 32 0.817667217608556
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+2 0 1 0 0 18 36 32 -0.453152121957099
+2 0 1 0 0 18 37 32 -0.574468832385415
+2 0 1 0 0 18 38 32 -0.685417277112103
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 -1.00051323460778
+2 0 0 0 0 18 2 32 -0.948719671596804
+2 0 0 0 0 18 4 32 -0.820066483046201
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+2 0 0 0 0 18 14 32 0.452002019295973
+2 0 0 0 0 18 16 32 0.686273359409448
+2 0 0 0 0 18 18 32 0.863619219378005
+2 0 0 0 0 18 20 32 0.970769869376907
+2 0 0 0 0 18 22 32 0.999274517949606
+2 0 0 0 0 18 24 32 0.946823887992414
+2 0 0 0 0 18 26 32 0.817667217608556
+2 0 0 0 0 18 28 32 0.622268012108237
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+2 0 0 0 0 18 40 32 -0.863304103470106
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+2 0 0 0 0 18 48 32 -0.820066483046201
+2 0 0 0 0 18 50 32 -0.624976385162354
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0.467911489927742
+3 0 1 0 0 18 14 32 0.589255846106157
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+3 0 1 0 0 18 37 32 -0.69911439274983
+3 0 1 0 0 18 38 32 -0.793912736129098
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0.607480655529478
+4 0 1 0 0 18 14 32 0.714783163782234
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+4 0 1 0 0 18 37 32 -0.808257233173757
+4 0 1 0 0 18 38 32 -0.88473774645402
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 -0.936397049231443
+4 0 0 0 0 18 2 32 -0.79750835846836
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+4 0 0 0 0 18 48 32 -0.594010283467016
+4 0 0 0 0 18 50 32 -0.342389028014344
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0.727469292523459
+5 0 1 0 0 18 14 32 0.81809726426295
+5 0 1 0 0 18 15 32 0.894997891828366
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+5 0 1 0 0 18 38 32 -0.950033372699939
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0.831564473183407
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+6 0 1 0 0 18 37 32 -0.957226471201861
+6 0 1 0 0 18 38 32 -0.992419259995831
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 -0.773613468881637
+6 0 0 0 0 18 2 32 -0.562009242653593
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+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0.911030351746214
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+7 0 1 0 0 18 38 32 -1.00745785626604
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0.968485416194873
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+8 0 1 0 0 18 37 32 -1.00554673476181
+8 0 1 0 0 18 38 32 -0.996628345535797
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -0.529031092242213
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+8 0 0 0 0 18 48 32 0.017089571311092
+8 0 0 0 0 18 50 32 0.299567039224753
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0.998806638098124
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+9 0 1 0 0 18 38 32 -0.959455460246035
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 1.0033451662732
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+10 0 1 0 0 18 37 32 -0.948055603411022
+10 0 1 0 0 18 38 32 -0.896097622916442
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -0.228161074832807
+10 0 0 0 0 18 2 32 0.057286611204755
+10 0 0 0 0 18 4 32 0.338103443452015
+10 0 0 0 0 18 6 32 0.591510017855445
+10 0 0 0 0 18 8 32 0.796997952576385
+10 0 0 0 0 18 10 32 0.937718827873646
+10 0 0 0 0 18 12 32 1.00169542619054
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+10 0 0 0 0 18 16 32 0.87364486199063
+10 0 0 0 0 18 18 32 0.705929704163289
+10 0 0 0 0 18 20 32 0.480623600534341
+10 0 0 0 0 18 22 32 0.214370477853116
+10 0 0 0 0 18 24 32 -0.0697116262111016
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+10 0 0 0 0 18 28 32 -0.59845137737009
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+10 0 0 0 0 18 32 32 -0.936661561951006
+10 0 0 0 0 18 34 32 -0.99625851177639
+10 0 0 0 0 18 36 32 -0.976815113117083
+10 0 0 0 0 18 38 32 -0.896097622916442
+10 0 0 0 0 18 40 32 -0.721595567697389
+10 0 0 0 0 18 42 32 -0.495724693319997
+10 0 0 0 0 18 44 32 -0.228161074832807
+10 0 0 0 0 18 46 32 0.057286611204755
+10 0 0 0 0 18 48 32 0.338103443452015
+10 0 0 0 0 18 50 32 0.591510017855445
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0.981065556855178
+11 0 1 0 0 18 14 32 0.938635665442232
+11 0 1 0 0 18 15 32 0.869647422832467
+11 0 1 0 0 18 16 32 0.784534275970654
+11 0 1 0 0 18 17 32 0.694080386025548
+11 0 1 0 0 18 18 32 0.580323852063602
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+11 0 1 0 0 18 20 32 0.330511864339962
+11 0 1 0 0 18 21 32 0.193685659393491
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+11 0 1 0 0 18 24 32 -0.231851085283206
+11 0 1 0 0 18 25 32 -0.368067018962624
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+11 0 1 0 0 18 30 32 -0.887634583587259
+11 0 1 0 0 18 31 32 -0.94358817330515
+11 0 1 0 0 18 32 32 -0.98129827448421
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+11 0 1 0 0 18 35 32 -0.97108296517584
+11 0 1 0 0 18 36 32 -0.930847817356979
+11 0 1 0 0 18 37 32 -0.880602593623421
+11 0 1 0 0 18 38 32 -0.810186363909918
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0.932011382031437
+12 0 1 0 0 18 14 32 0.867670823017555
+12 0 1 0 0 18 15 32 0.777407737636328
+12 0 1 0 0 18 16 32 0.674816105520949
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+12 0 1 0 0 18 18 32 0.439201817831781
+12 0 1 0 0 18 19 32 0.311627466800555
+12 0 1 0 0 18 20 32 0.171373625422456
+12 0 1 0 0 18 21 32 0.0307631853194615
+12 0 1 0 0 18 22 32 -0.112239621857484
+12 0 1 0 0 18 23 32 -0.25246813583184
+12 0 1 0 0 18 24 32 -0.387789018307074
+12 0 1 0 0 18 25 32 -0.515172909417275
+12 0 1 0 0 18 26 32 -0.632087589022964
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+12 0 1 0 0 18 29 32 -0.897242853194097
+12 0 1 0 0 18 30 32 -0.951236455941754
+12 0 1 0 0 18 31 32 -0.984674492732716
+12 0 1 0 0 18 32 32 -0.999548100773417
+12 0 1 0 0 18 33 32 -0.991083894554511
+12 0 1 0 0 18 34 32 -0.966747056839831
+12 0 1 0 0 18 35 32 -0.922052842123667
+12 0 1 0 0 18 36 32 -0.860314671610149
+12 0 1 0 0 18 37 32 -0.790583182458473
+12 0 1 0 0 18 38 32 -0.700511173105496
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0.0975185648784567
+12 0 0 0 0 18 2 32 0.376139507675348
+12 0 0 0 0 18 4 32 0.624395009623803
+12 0 0 0 0 18 6 32 0.821987585681196
+12 0 0 0 0 18 8 32 0.952945637361202
+12 0 0 0 0 18 10 32 1.00634219231345
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+12 0 0 0 0 18 18 32 0.439201817831781
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+12 0 0 0 0 18 22 32 -0.112239621857484
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+12 0 0 0 0 18 26 32 -0.632087589022964
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+12 0 0 0 0 18 32 32 -0.999548100773417
+12 0 0 0 0 18 34 32 -0.966747056839831
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+12 0 0 0 0 18 38 32 -0.700511173105496
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+12 0 0 0 0 18 42 32 -0.190330625785958
+12 0 0 0 0 18 44 32 0.0975185648784567
+12 0 0 0 0 18 46 32 0.376139507675348
+12 0 0 0 0 18 48 32 0.624395009623803
+12 0 0 0 0 18 50 32 0.821987585681196
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/u.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/u.zl
new file mode 100644
index 000000000..3647703fa
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/u.zl
@@ -0,0 +1,782 @@
+# HYDROTOY::u z (u)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -1
+0 0 1 0 0 18 24 18 -0.978147600733805
+0 0 1 0 0 18 24 19 -0.9135454576426
+0 0 1 0 0 18 24 20 -0.809016994374946
+0 0 1 0 0 18 24 21 -0.669130606358856
+0 0 1 0 0 18 24 22 -0.499999999999998
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+0 0 1 0 0 18 24 24 -0.104528463267652
+0 0 1 0 0 18 24 25 0.104528463267655
+0 0 1 0 0 18 24 26 0.309016994374949
+0 0 1 0 0 18 24 27 0.500000000000001
+0 0 1 0 0 18 24 28 0.669130606358859
+0 0 1 0 0 18 24 29 0.809016994374948
+0 0 1 0 0 18 24 30 0.913545457642601
+0 0 1 0 0 18 24 31 0.978147600733806
+0 0 1 0 0 18 24 32 1
+0 0 1 0 0 18 24 33 0.978147600733806
+0 0 1 0 0 18 24 34 0.913545457642601
+0 0 1 0 0 18 24 35 0.809016994374948
+0 0 1 0 0 18 24 36 0.669130606358859
+0 0 1 0 0 18 24 37 0.500000000000001
+0 0 1 0 0 18 24 38 0.309016994374949
+0 0 1 0 0 18 24 39 0.104528463267655
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+0 0 1 0 0 18 24 41 -0.309016994374945
+0 0 1 0 0 18 24 42 -0.499999999999998
+0 0 1 0 0 18 24 43 -0.669130606358856
+0 0 1 0 0 18 24 44 -0.809016994374946
+0 0 1 0 0 18 24 45 -0.9135454576426
+0 0 1 0 0 18 24 46 -0.978147600733805
+0 0 1 0 0 18 24 47 -1
+0 0 1 0 0 18 24 48 -0.978147600733806
+0 0 1 0 0 18 24 49 -0.913545457642603
+0 0 1 0 0 18 24 50 -0.80901699437495
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 0.913545457642604
+0 0 0 0 0 18 24 2 1
+0 0 0 0 0 18 24 4 0.913545457642598
+0 0 0 0 0 18 24 6 0.669130606358854
+0 0 0 0 0 18 24 8 0.309016994374941
+0 0 0 0 0 18 24 10 -0.104528463267659
+0 0 0 0 0 18 24 12 -0.500000000000004
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+0 0 0 0 0 18 24 22 -0.499999999999998
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+0 0 0 0 0 18 24 26 0.309016994374949
+0 0 0 0 0 18 24 28 0.669130606358859
+0 0 0 0 0 18 24 30 0.913545457642601
+0 0 0 0 0 18 24 32 1
+0 0 0 0 0 18 24 34 0.913545457642601
+0 0 0 0 0 18 24 36 0.669130606358859
+0 0 0 0 0 18 24 38 0.309016994374949
+0 0 0 0 0 18 24 40 -0.104528463267652
+0 0 0 0 0 18 24 42 -0.499999999999998
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+0 0 0 0 0 18 24 46 -0.978147600733805
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+0 0 0 0 0 18 24 50 -0.80901699437495
+0 0 0 0 0 18 24 52 -0.500000000000004
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+0 0 0 0 0 18 24 56 0.309016994374942
+0 0 0 0 0 18 24 58 0.669130606358854
+0 0 0 0 0 18 24 60 0.913545457642598
+0 0 0 0 0 18 24 62 1
+0 0 0 0 0 18 24 64 0.913545457642604
+0 0 0 0 0 18 24 66 0.669130606358864
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -0.986764645176802
+1 0 1 0 0 18 24 18 -0.932527316358608
+1 0 1 0 0 18 24 19 -0.835847519480548
+1 0 1 0 0 18 24 20 -0.702222478734384
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+1 0 1 0 0 18 24 24 0.0593018494517551
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+1 0 1 0 0 18 24 28 0.781583843698094
+1 0 1 0 0 18 24 29 0.894229352421314
+1 0 1 0 0 18 24 30 0.967792747455213
+1 0 1 0 0 18 24 31 0.999058955440474
+1 0 1 0 0 18 24 32 0.986661493056231
+1 0 1 0 0 18 24 33 0.9311421888983
+1 0 1 0 0 18 24 34 0.834927502969561
+1 0 1 0 0 18 24 35 0.702222478734387
+1 0 1 0 0 18 24 36 0.538826962541212
+1 0 1 0 0 18 24 37 0.351882122506355
+1 0 1 0 0 18 24 38 0.149558345200208
+1 0 1 0 0 18 24 39 -0.0593018494517517
+1 0 1 0 0 18 24 40 -0.265570268720824
+1 0 1 0 0 18 24 41 -0.460231992899261
+1 0 1 0 0 18 24 42 -0.634779370549876
+1 0 1 0 0 18 24 43 -0.781583843698092
+1 0 1 0 0 18 24 44 -0.894229352421313
+1 0 1 0 0 18 24 45 -0.967792747455212
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+1 0 1 0 0 18 24 48 -0.930288208406172
+1 0 1 0 0 18 24 49 -0.836236858633532
+1 0 1 0 0 18 24 50 -0.70456292892012
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -0.948045062206597
+2 0 1 0 0 18 24 18 -0.861405240474847
+2 0 1 0 0 18 24 19 -0.735425071804322
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+2 0 1 0 0 18 24 25 0.419508855165451
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+2 0 1 0 0 18 24 27 0.75253576513233
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+2 0 1 0 0 18 24 29 0.955442404735028
+2 0 1 0 0 18 24 30 0.996059682562471
+2 0 1 0 0 18 24 31 0.993144372637286
+2 0 1 0 0 18 24 32 0.946823887992414
+2 0 1 0 0 18 24 33 0.85912265607718
+2 0 1 0 0 18 24 34 0.733873641563482
+2 0 1 0 0 18 24 35 0.576550827397022
+2 0 1 0 0 18 24 36 0.394029975475493
+2 0 1 0 0 18 24 37 0.194288122860086
+2 0 1 0 0 18 24 38 -0.0139450530221575
+2 0 1 0 0 18 24 39 -0.221568763171544
+2 0 1 0 0 18 24 40 -0.419508855165448
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+2 0 1 0 0 18 24 43 -0.873067709099337
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+2 0 1 0 0 18 24 45 -0.996059682562471
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+2 0 1 0 0 18 24 49 -0.735919601592987
+2 0 1 0 0 18 24 50 -0.579295188642754
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 0.996953826263689
+2 0 0 0 0 18 24 2 0.948719671596808
+2 0 0 0 0 18 24 4 0.73644326686319
+2 0 0 0 0 18 24 6 0.396829130911887
+2 0 0 0 0 18 24 8 -0.0114003668535601
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+2 0 0 0 0 18 24 28 0.873067709099339
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+2 0 0 0 0 18 24 32 0.946823887992414
+2 0 0 0 0 18 24 34 0.733873641563482
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+2 0 0 0 0 18 24 56 0.597741369696014
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+2 0 0 0 0 18 24 60 0.996953826263689
+2 0 0 0 0 18 24 62 0.948719671596808
+2 0 0 0 0 18 24 64 0.73644326686319
+2 0 0 0 0 18 24 66 0.396829130911887
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -0.88504128396079
+3 0 1 0 0 18 24 18 -0.768694090603434
+3 0 1 0 0 18 24 19 -0.614841343239414
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+3 0 1 0 0 18 24 26 0.721932335802778
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+3 0 1 0 0 18 24 28 0.941121679010772
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+3 0 1 0 0 18 24 30 0.99758253409576
+3 0 1 0 0 18 24 31 0.9605579152721
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+3 0 1 0 0 18 24 33 0.764018631351612
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+3 0 1 0 0 18 24 37 0.0314484908842035
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+3 0 1 0 0 18 24 43 -0.941121679010771
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+3 0 1 0 0 18 24 49 -0.61630696437209
+3 0 1 0 0 18 24 50 -0.441706291557492
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -0.796733086189038
+4 0 1 0 0 18 24 18 -0.65308962757073
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+4 0 1 0 0 18 24 29 0.999966491065561
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+4 0 1 0 0 18 24 33 0.648380019520416
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+4 0 1 0 0 18 24 49 -0.479901995598838
+4 0 1 0 0 18 24 50 -0.288965398326121
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 0.97571163067272
+4 0 0 0 0 18 24 2 0.797508358468365
+4 0 0 0 0 18 24 4 0.481408645948837
+4 0 0 0 0 18 24 6 0.0820690050845114
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+4 0 0 0 0 18 24 22 0.132360600723315
+4 0 0 0 0 18 24 24 0.524139882115639
+4 0 0 0 0 18 24 26 0.825384683597902
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+4 0 0 0 0 18 24 30 0.972315647790124
+4 0 0 0 0 18 24 32 0.792595086557144
+4 0 0 0 0 18 24 34 0.475827634358122
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+4 0 0 0 0 18 24 38 -0.335533980789421
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+4 0 0 0 0 18 24 50 -0.288965398326121
+4 0 0 0 0 18 24 52 0.127596808261895
+4 0 0 0 0 18 24 54 0.520953945889802
+4 0 0 0 0 18 24 56 0.824348384178007
+4 0 0 0 0 18 24 58 0.985205497871869
+4 0 0 0 0 18 24 60 0.97571163067272
+4 0 0 0 0 18 24 62 0.797508358468365
+4 0 0 0 0 18 24 64 0.481408645948837
+4 0 0 0 0 18 24 66 0.0820690050845114
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -0.560635835560605
+6 0 1 0 0 18 24 18 -0.37479028636854
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+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 0.851778147743213
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+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -0.420092473983329
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+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -0.264346524141334
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+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 0.637920049169408
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+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -0.105350213130218
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+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 0.060835473967743
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+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 0.356398201603107
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+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+12 0 0 0 0 18 24 64 -0.723996248719062
+12 0 0 0 0 18 24 66 -0.946605480875195
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vx.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vx.xl
new file mode 100644
index 000000000..83e3a7c55
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vx.xl
@@ -0,0 +1,482 @@
+# HYDROTOY::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -0.196827067972686
+0 0 1 0 0 10 24 32 -0.0665789627081124
+0 0 1 0 0 11 24 32 0.0665789627081145
+0 0 1 0 0 12 24 32 0.196827067972688
+0 0 1 0 0 13 24 32 0.318472885885794
+0 0 1 0 0 14 24 32 0.426199910483233
+0 0 1 0 0 15 24 32 0.515299953858481
+0 0 1 0 0 16 24 32 0.581878916566594
+0 0 1 0 0 17 24 32 0.62302697845592
+0 0 1 0 0 18 24 32 0.636945771771587
+0 0 1 0 0 19 24 32 0.62302697845592
+0 0 1 0 0 20 24 32 0.581878916566594
+0 0 1 0 0 21 24 32 0.515299953858481
+0 0 1 0 0 22 24 32 0.426199910483233
+0 0 1 0 0 23 24 32 0.318472885885794
+0 0 1 0 0 24 24 32 0.196827067972688
+0 0 1 0 0 25 24 32 0.0665789627081145
+0 0 1 0 0 26 24 32 -0.0665789627081126
+0 0 1 0 0 27 24 32 -0.196827067972686
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -0.515299953858482
+0 0 0 0 0 2 24 32 -0.62302697845592
+0 0 0 0 0 4 24 32 -0.62302697845592
+0 0 0 0 0 6 24 32 -0.51529995385848
+0 0 0 0 0 8 24 32 -0.318472885885792
+0 0 0 0 0 10 24 32 -0.0665789627081124
+0 0 0 0 0 12 24 32 0.196827067972688
+0 0 0 0 0 14 24 32 0.426199910483233
+0 0 0 0 0 16 24 32 0.581878916566594
+0 0 0 0 0 18 24 32 0.636945771771587
+0 0 0 0 0 20 24 32 0.581878916566594
+0 0 0 0 0 22 24 32 0.426199910483233
+0 0 0 0 0 24 24 32 0.196827067972688
+0 0 0 0 0 26 24 32 -0.0665789627081126
+0 0 0 0 0 28 24 32 -0.318472885885792
+0 0 0 0 0 30 24 32 -0.51529995385848
+0 0 0 0 0 32 24 32 -0.62302697845592
+0 0 0 0 0 34 24 32 -0.62302697845592
+0 0 0 0 0 36 24 32 -0.515299953858482
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -0.0973195350500494
+1 0 1 0 0 10 24 32 0.0356668155049764
+1 0 1 0 0 11 24 32 0.169271369771323
+1 0 1 0 0 12 24 32 0.293071522772708
+1 0 1 0 0 13 24 32 0.404256490972886
+1 0 1 0 0 14 24 32 0.497773510679683
+1 0 1 0 0 15 24 32 0.569535439387465
+1 0 1 0 0 16 24 32 0.616405936459762
+1 0 1 0 0 17 24 32 0.636336536264916
+1 0 1 0 0 18 24 32 0.628456175953815
+1 0 1 0 0 19 24 32 0.593109265086217
+1 0 1 0 0 20 24 32 0.531840633280333
+1 0 1 0 0 21 24 32 0.447328013745593
+1 0 1 0 0 22 24 32 0.343265013492209
+1 0 1 0 0 23 24 32 0.22419968498093
+1 0 1 0 0 24 24 32 0.0953357544065354
+1 0 1 0 0 25 24 32 -0.0371738401891932
+1 0 1 0 0 26 24 32 -0.167163605655932
+1 0 1 0 0 27 24 32 -0.291147369612687
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0.00664574421749244
+2 0 1 0 0 10 24 32 0.139079131940516
+2 0 1 0 0 11 24 32 0.267990694475707
+2 0 1 0 0 12 24 32 0.381367593493265
+2 0 1 0 0 13 24 32 0.479211475772128
+2 0 1 0 0 14 24 32 0.556000672787044
+2 0 1 0 0 15 24 32 0.608496017634465
+2 0 1 0 0 16 24 32 0.634397166623412
+2 0 1 0 0 17 24 32 0.632572115255564
+2 0 1 0 0 18 24 32 0.603100627033265
+2 0 1 0 0 19 24 32 0.54727074741172
+2 0 1 0 0 20 24 32 0.467522510031876
+2 0 1 0 0 21 24 32 0.367341295541731
+2 0 1 0 0 22 24 32 0.251105503737309
+2 0 1 0 0 23 24 32 0.12391147666661
+2 0 1 0 0 24 24 32 -0.00858254917153948
+2 0 1 0 0 25 24 32 -0.139448071603551
+2 0 1 0 0 26 24 32 -0.265429365246958
+2 0 1 0 0 27 24 32 -0.379908726375628
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -0.608492170320791
+2 0 0 0 0 2 24 32 -0.633457407715208
+2 0 0 0 0 4 24 32 -0.548892104535778
+2 0 0 0 0 6 24 32 -0.369418369953888
+2 0 0 0 0 8 24 32 -0.126068843146438
+2 0 0 0 0 10 24 32 0.139079131940516
+2 0 0 0 0 12 24 32 0.381367593493265
+2 0 0 0 0 14 24 32 0.556000672787044
+2 0 0 0 0 16 24 32 0.634397166623412
+2 0 0 0 0 18 24 32 0.603100627033265
+2 0 0 0 0 20 24 32 0.467522510031876
+2 0 0 0 0 22 24 32 0.251105503737309
+2 0 0 0 0 24 24 32 -0.00858254917153948
+2 0 0 0 0 26 24 32 -0.265429365246958
+2 0 0 0 0 28 24 32 -0.478313108700085
+2 0 0 0 0 30 24 32 -0.608492170320791
+2 0 0 0 0 32 24 32 -0.633457407715208
+2 0 0 0 0 34 24 32 -0.548892104535778
+2 0 0 0 0 36 24 32 -0.369418369953888
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0.108210098794584
+3 0 1 0 0 10 24 32 0.236718081195018
+3 0 1 0 0 11 24 32 0.360012376812624
+3 0 1 0 0 12 24 32 0.45931441127479
+3 0 1 0 0 13 24 32 0.541374934608528
+3 0 1 0 0 14 24 32 0.599311127754145
+3 0 1 0 0 15 24 32 0.63113287627763
+3 0 1 0 0 16 24 32 0.635366511859372
+3 0 1 0 0 17 24 32 0.611831770959215
+3 0 1 0 0 18 24 32 0.561557045773571
+3 0 1 0 0 19 24 32 0.48673958303795
+3 0 1 0 0 20 24 32 0.390649264887917
+3 0 1 0 0 21 24 32 0.27748620807491
+3 0 1 0 0 22 24 32 0.152202018728468
+3 0 1 0 0 23 24 32 0.0203690488063119
+3 0 1 0 0 24 24 32 -0.112125435319296
+3 0 1 0 0 25 24 32 -0.237591030872871
+3 0 1 0 0 26 24 32 -0.354406683323582
+3 0 1 0 0 27 24 32 -0.456530052035244
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0.209854971679238
+4 0 1 0 0 10 24 32 0.330896965069647
+4 0 1 0 0 11 24 32 0.442672561943264
+4 0 1 0 0 12 24 32 0.524683036040805
+4 0 1 0 0 13 24 32 0.589123550896575
+4 0 1 0 0 14 24 32 0.626525057575401
+4 0 1 0 0 15 24 32 0.636838472170445
+4 0 1 0 0 16 24 32 0.619284745694651
+4 0 1 0 0 17 24 32 0.574669469482085
+4 0 1 0 0 18 24 32 0.504938202020884
+4 0 1 0 0 19 24 32 0.413138733971208
+4 0 1 0 0 20 24 32 0.303283404610584
+4 0 1 0 0 21 24 32 0.180179377260964
+4 0 1 0 0 22 24 32 0.0492284300615583
+4 0 1 0 0 23 24 32 -0.0835917096252756
+4 0 1 0 0 24 24 32 -0.212391501213837
+4 0 1 0 0 25 24 32 -0.329109854319301
+4 0 1 0 0 26 24 32 -0.436418745938339
+4 0 1 0 0 27 24 32 -0.523399898662173
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -0.638086200378305
+4 0 0 0 0 2 24 32 -0.57748024821656
+4 0 0 0 0 4 24 32 -0.417022714894814
+4 0 0 0 0 6 24 32 -0.184458165635327
+4 0 0 0 0 8 24 32 0.0800380178333529
+4 0 0 0 0 10 24 32 0.330896965069647
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+4 0 0 0 0 18 24 32 0.504938202020884
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+4 0 0 0 0 22 24 32 0.0492284300615583
+4 0 0 0 0 24 24 32 -0.212391501213837
+4 0 0 0 0 26 24 32 -0.436418745938339
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+4 0 0 0 0 30 24 32 -0.638086200378305
+4 0 0 0 0 32 24 32 -0.57748024821656
+4 0 0 0 0 34 24 32 -0.417022714894814
+4 0 0 0 0 36 24 32 -0.184458165635327
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0.303368518709485
+5 0 1 0 0 10 24 32 0.413783718767214
+5 0 1 0 0 11 24 32 0.51354681138373
+5 0 1 0 0 12 24 32 0.575793832687342
+5 0 1 0 0 13 24 32 0.621256115896745
+5 0 1 0 0 14 24 32 0.636882424518159
+5 0 1 0 0 15 24 32 0.625465785285577
+5 0 1 0 0 16 24 32 0.586579529997068
+5 0 1 0 0 17 24 32 0.522080446202038
+5 0 1 0 0 18 24 32 0.434761914942754
+5 0 1 0 0 19 24 32 0.328442718597702
+5 0 1 0 0 20 24 32 0.20777106148296
+5 0 1 0 0 21 24 32 0.0780459267880942
+5 0 1 0 0 22 24 32 -0.055019271700067
+5 0 1 0 0 23 24 32 -0.185096409177277
+5 0 1 0 0 24 24 32 -0.306759215123936
+5 0 1 0 0 25 24 32 -0.411778600159822
+5 0 1 0 0 26 24 32 -0.504887654532882
+5 0 1 0 0 27 24 32 -0.574676641303666
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0.391399456585256
+6 0 1 0 0 10 24 32 0.487989030553447
+6 0 1 0 0 11 24 32 0.570641986851277
+6 0 1 0 0 12 24 32 0.611229236444156
+6 0 1 0 0 13 24 32 0.636938335234609
+6 0 1 0 0 14 24 32 0.630066660312417
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+6 0 1 0 0 16 24 32 0.538122600934815
+6 0 1 0 0 17 24 32 0.455475090499822
+6 0 1 0 0 18 24 32 0.352910397571519
+6 0 1 0 0 19 24 32 0.234925412789135
+6 0 1 0 0 20 24 32 0.106680710314624
+6 0 1 0 0 21 24 32 -0.0261473226398542
+6 0 1 0 0 22 24 32 -0.157701823390915
+6 0 1 0 0 23 24 32 -0.281392467904433
+6 0 1 0 0 24 24 32 -0.392682928411136
+6 0 1 0 0 25 24 32 -0.483483592956596
+6 0 1 0 0 26 24 32 -0.562006041959994
+6 0 1 0 0 27 24 32 -0.612431324869577
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -0.60076846793495
+6 0 0 0 0 2 24 32 -0.460811012388645
+6 0 0 0 0 4 24 32 -0.241137210479794
+6 0 0 0 0 6 24 32 0.0202454642268279
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+6 0 0 0 0 34 24 32 -0.241137210479794
+6 0 0 0 0 36 24 32 0.0202454642268279
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0.466782278043679
+7 0 1 0 0 10 24 32 0.547008653138462
+7 0 1 0 0 11 24 32 0.612241171230807
+7 0 1 0 0 12 24 32 0.630165797980614
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+7 0 1 0 0 18 24 32 0.261579849657015
+7 0 1 0 0 19 24 32 0.135100425501602
+7 0 1 0 0 20 24 32 0.00273622951808676
+7 0 1 0 0 21 24 32 -0.129567413114122
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+7 0 1 0 0 25 24 32 -0.542544736795203
+7 0 1 0 0 26 24 32 -0.603004321403345
+7 0 1 0 0 27 24 32 -0.633088798646662
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0.531659286857421
+8 0 1 0 0 10 24 32 0.59301066895222
+8 0 1 0 0 11 24 32 0.637232358478579
+8 0 1 0 0 12 24 32 0.632104537521655
+8 0 1 0 0 13 24 32 0.617758600160912
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+8 0 1 0 0 16 24 32 0.399498960611568
+8 0 1 0 0 17 24 32 0.287703084765766
+8 0 1 0 0 18 24 32 0.163221645576797
+8 0 1 0 0 19 24 32 0.0316555314786178
+8 0 1 0 0 20 24 32 -0.101255061993592
+8 0 1 0 0 21 24 32 -0.229395215398181
+8 0 1 0 0 22 24 32 -0.347312115527003
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+8 0 1 0 0 24 24 32 -0.530782879899847
+8 0 1 0 0 25 24 32 -0.58743364315645
+8 0 1 0 0 26 24 32 -0.629472355135045
+8 0 1 0 0 27 24 32 -0.637816122036855
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -0.500260122819249
+8 0 0 0 0 2 24 32 -0.295572051448085
+8 0 0 0 0 4 24 32 -0.0396132690882706
+8 0 0 0 0 6 24 32 0.223204098527639
+8 0 0 0 0 8 24 32 0.447495798107447
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+8 0 0 0 0 20 24 32 -0.101255061993592
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+8 0 0 0 0 24 24 32 -0.530782879899847
+8 0 0 0 0 26 24 32 -0.629472355135045
+8 0 0 0 0 28 24 32 -0.619127662102149
+8 0 0 0 0 30 24 32 -0.500260122819249
+8 0 0 0 0 32 24 32 -0.295572051448085
+8 0 0 0 0 34 24 32 -0.0396132690882706
+8 0 0 0 0 36 24 32 0.223204098527639
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0.580685298358815
+9 0 1 0 0 10 24 32 0.621626825713215
+9 0 1 0 0 11 24 32 0.644827677374528
+9 0 1 0 0 12 24 32 0.617104640249006
+9 0 1 0 0 13 24 32 0.583310235338105
+9 0 1 0 0 14 24 32 0.510327896750514
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+9 0 1 0 0 16 24 32 0.313017359350813
+9 0 1 0 0 17 24 32 0.191055996057573
+9 0 1 0 0 18 24 32 0.0604766672451975
+9 0 1 0 0 19 24 32 -0.0726175381988089
+9 0 1 0 0 20 24 32 -0.202478090233785
+9 0 1 0 0 21 24 32 -0.322910353759578
+9 0 1 0 0 22 24 32 -0.429114360527023
+9 0 1 0 0 23 24 32 -0.514474396261956
+9 0 1 0 0 24 24 32 -0.579515412027335
+9 0 1 0 0 25 24 32 -0.61713211506881
+9 0 1 0 0 26 24 32 -0.638833396418837
+9 0 1 0 0 27 24 32 -0.625668500941253
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0.615347223979753
+10 0 1 0 0 10 24 32 0.634313207515283
+10 0 1 0 0 11 24 32 0.634923718002873
+10 0 1 0 0 12 24 32 0.585577389407132
+10 0 1 0 0 13 24 32 0.53324714402456
+10 0 1 0 0 14 24 32 0.440843312581992
+10 0 1 0 0 15 24 32 0.339200288587481
+10 0 1 0 0 16 24 32 0.218057035692635
+10 0 1 0 0 17 24 32 0.0893142044843637
+10 0 1 0 0 18 24 32 -0.0438955148072313
+10 0 1 0 0 19 24 32 -0.174896754323637
+10 0 1 0 0 20 24 32 -0.298188407095373
+10 0 1 0 0 21 24 32 -0.407575169699699
+10 0 1 0 0 22 24 32 -0.499258930103551
+10 0 1 0 0 23 24 32 -0.566934810194031
+10 0 1 0 0 24 24 32 -0.613018252323881
+10 0 1 0 0 25 24 32 -0.630808974152969
+10 0 1 0 0 26 24 32 -0.631946360833473
+10 0 1 0 0 27 24 32 -0.59679801832679
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -0.346991088724117
+10 0 0 0 0 2 24 32 -0.0990292266893935
+10 0 0 0 0 4 24 32 0.166426601530943
+10 0 0 0 0 6 24 32 0.402982080641666
+10 0 0 0 0 8 24 32 0.569721980277897
+10 0 0 0 0 10 24 32 0.634313207515283
+10 0 0 0 0 12 24 32 0.585577389407132
+10 0 0 0 0 14 24 32 0.440843312581992
+10 0 0 0 0 16 24 32 0.218057035692635
+10 0 0 0 0 18 24 32 -0.0438955148072313
+10 0 0 0 0 20 24 32 -0.298188407095373
+10 0 0 0 0 22 24 32 -0.499258930103551
+10 0 0 0 0 24 24 32 -0.613018252323881
+10 0 0 0 0 26 24 32 -0.631946360833473
+10 0 0 0 0 28 24 32 -0.535937783454686
+10 0 0 0 0 30 24 32 -0.346991088724117
+10 0 0 0 0 32 24 32 -0.0990292266893935
+10 0 0 0 0 34 24 32 0.166426601530943
+10 0 0 0 0 36 24 32 0.402982080641666
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0.63261746110972
+11 0 1 0 0 10 24 32 0.629359771320221
+11 0 1 0 0 11 24 32 0.607730154353028
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+11 0 1 0 0 20 24 32 -0.385791191819795
+11 0 1 0 0 21 24 32 -0.481114813817196
+11 0 1 0 0 22 24 32 -0.555925441432385
+11 0 1 0 0 23 24 32 -0.604375594383203
+11 0 1 0 0 24 24 32 -0.630517847656859
+11 0 1 0 0 25 24 32 -0.628187310635159
+11 0 1 0 0 26 24 32 -0.60863913501185
+11 0 1 0 0 27 24 32 -0.552962261725833
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 0.633286276437354
+12 0 1 0 0 10 24 32 0.607336531474097
+12 0 1 0 0 11 24 32 0.564124714907532
+12 0 1 0 0 12 24 32 0.476835293486911
+12 0 1 0 0 13 24 32 0.391613960329026
+12 0 1 0 0 14 24 32 0.268205916326188
+12 0 1 0 0 15 24 32 0.148507520481042
+12 0 1 0 0 16 24 32 0.0129657003306459
+12 0 1 0 0 17 24 32 -0.118349533671474
+12 0 1 0 0 18 24 32 -0.246336127739087
+12 0 1 0 0 19 24 32 -0.362490814029399
+12 0 1 0 0 20 24 32 -0.462918474620023
+12 0 1 0 0 21 24 32 -0.541587285793128
+12 0 1 0 0 22 24 32 -0.59768879814306
+12 0 1 0 0 23 24 32 -0.625951358373227
+12 0 1 0 0 24 24 32 -0.631634963619643
+12 0 1 0 0 25 24 32 -0.609211589482629
+12 0 1 0 0 26 24 32 -0.568969090076336
+12 0 1 0 0 27 24 32 -0.493329977251036
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -0.157043483246334
+12 0 0 0 0 2 24 32 0.108219403439306
+12 0 0 0 0 4 24 32 0.355310747169661
+12 0 0 0 0 6 24 32 0.540432865235801
+12 0 0 0 0 8 24 32 0.631634773110887
+12 0 0 0 0 10 24 32 0.607336531474097
+12 0 0 0 0 12 24 32 0.476835293486911
+12 0 0 0 0 14 24 32 0.268205916326188
+12 0 0 0 0 16 24 32 0.0129657003306459
+12 0 0 0 0 18 24 32 -0.246336127739087
+12 0 0 0 0 20 24 32 -0.462918474620023
+12 0 0 0 0 22 24 32 -0.59768879814306
+12 0 0 0 0 24 24 32 -0.631634963619643
+12 0 0 0 0 26 24 32 -0.568969090076336
+12 0 0 0 0 28 24 32 -0.39597367270725
+12 0 0 0 0 30 24 32 -0.157043483246334
+12 0 0 0 0 32 24 32 0.108219403439306
+12 0 0 0 0 34 24 32 0.355310747169661
+12 0 0 0 0 36 24 32 0.540432865235801
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vx.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vx.yl
new file mode 100644
index 000000000..382d64731
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vx.yl
@@ -0,0 +1,622 @@
+# HYDROTOY::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -2.93103742532793e-15
+0 0 1 0 0 18 14 32 0.0906468344985235
+0 0 1 0 0 18 15 32 0.179448360850545
+0 0 1 0 0 18 16 32 0.264596836061988
+0 0 1 0 0 18 17 32 0.344358882725476
+0 0 1 0 0 18 18 32 0.417110775585686
+0 0 1 0 0 18 19 32 0.481371495903121
+0 0 1 0 0 18 20 32 0.53583288072473
+0 0 1 0 0 18 21 32 0.579386253309212
+0 0 1 0 0 18 22 32 0.611144992588301
+0 0 1 0 0 18 23 32 0.630462582214916
+0 0 1 0 0 18 24 32 0.636945771771587
+0 0 1 0 0 18 25 32 0.630462582214916
+0 0 1 0 0 18 26 32 0.611144992588301
+0 0 1 0 0 18 27 32 0.579386253309212
+0 0 1 0 0 18 28 32 0.53583288072473
+0 0 1 0 0 18 29 32 0.48137149590312
+0 0 1 0 0 18 30 32 0.417110775585686
+0 0 1 0 0 18 31 32 0.344358882725476
+0 0 1 0 0 18 32 32 0.264596836061988
+0 0 1 0 0 18 33 32 0.179448360850545
+0 0 1 0 0 18 34 32 0.0906468344985234
+0 0 1 0 0 18 35 32 -3.07246779757962e-15
+0 0 1 0 0 18 36 32 -0.0906468344985296
+0 0 1 0 0 18 37 32 -0.17944836085055
+0 0 1 0 0 18 38 32 -0.264596836061994
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -0.611144992588299
+0 0 0 0 0 18 2 32 -0.636945771771587
+0 0 0 0 0 18 4 32 -0.611144992588303
+0 0 0 0 0 18 6 32 -0.535832880724733
+0 0 0 0 0 18 8 32 -0.417110775585691
+0 0 0 0 0 18 10 32 -0.264596836061994
+0 0 0 0 0 18 12 32 -0.0906468344985295
+0 0 0 0 0 18 14 32 0.0906468344985235
+0 0 0 0 0 18 16 32 0.264596836061988
+0 0 0 0 0 18 18 32 0.417110775585686
+0 0 0 0 0 18 20 32 0.53583288072473
+0 0 0 0 0 18 22 32 0.611144992588301
+0 0 0 0 0 18 24 32 0.636945771771587
+0 0 0 0 0 18 26 32 0.611144992588301
+0 0 0 0 0 18 28 32 0.53583288072473
+0 0 0 0 0 18 30 32 0.417110775585686
+0 0 0 0 0 18 32 32 0.264596836061988
+0 0 0 0 0 18 34 32 0.0906468344985234
+0 0 0 0 0 18 36 32 -0.0906468344985296
+0 0 0 0 0 18 38 32 -0.264596836061994
+0 0 0 0 0 18 40 32 -0.417110775585691
+0 0 0 0 0 18 42 32 -0.535832880724734
+0 0 0 0 0 18 44 32 -0.611144992588303
+0 0 0 0 0 18 46 32 -0.636945771771587
+0 0 0 0 0 18 48 32 -0.611144992588299
+0 0 0 0 0 18 50 32 -0.535832880724727
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0.101958040479921
+1 0 1 0 0 18 14 32 0.19045190926366
+1 0 1 0 0 18 15 32 0.276801468550228
+1 0 1 0 0 18 16 32 0.355631693593013
+1 0 1 0 0 18 17 32 0.42722228291136
+1 0 1 0 0 18 18 32 0.490115858556959
+1 0 1 0 0 18 19 32 0.543032088699761
+1 0 1 0 0 18 20 32 0.584893751491865
+1 0 1 0 0 18 21 32 0.614848664197891
+1 0 1 0 0 18 22 32 0.632287031177978
+1 0 1 0 0 18 23 32 0.63685385756851
+1 0 1 0 0 18 24 32 0.628456175953815
+1 0 1 0 0 18 25 32 0.607264938914655
+1 0 1 0 0 18 26 32 0.573711538926666
+1 0 1 0 0 18 27 32 0.528479026453587
+1 0 1 0 0 18 28 32 0.472488205009576
+1 0 1 0 0 18 29 32 0.406878886255038
+1 0 1 0 0 18 30 32 0.332986686718163
+1 0 1 0 0 18 31 32 0.252315838494016
+1 0 1 0 0 18 32 32 0.166508567416923
+1 0 1 0 0 18 33 32 0.0773116620782785
+1 0 1 0 0 18 34 32 -0.0134590857518569
+1 0 1 0 0 18 35 32 -0.103955845408883
+1 0 1 0 0 18 36 32 -0.192336363837286
+1 0 1 0 0 18 37 32 -0.275010333503837
+1 0 1 0 0 18 38 32 -0.354054672129119
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0.203336824400688
+2 0 1 0 0 18 14 32 0.287310844989877
+2 0 1 0 0 18 15 32 0.366814710346517
+2 0 1 0 0 18 16 32 0.437116971964769
+2 0 1 0 0 18 17 32 0.49863426960122
+2 0 1 0 0 18 18 32 0.54998022255102
+2 0 1 0 0 18 19 32 0.590130164181673
+2 0 1 0 0 18 20 32 0.618266757464451
+2 0 1 0 0 18 21 32 0.63381722249935
+2 0 1 0 0 18 22 32 0.636464996662099
+2 0 1 0 0 18 23 32 0.626156178906293
+2 0 1 0 0 18 24 32 0.603100627033265
+2 0 1 0 0 18 25 32 0.567767685592429
+2 0 1 0 0 18 26 32 0.520876631379732
+2 0 1 0 0 18 27 32 0.463382031036309
+2 0 1 0 0 18 28 32 0.396454308824417
+2 0 1 0 0 18 29 32 0.321455920164677
+2 0 1 0 0 18 30 32 0.239913615972709
+2 0 1 0 0 18 31 32 0.153487362413272
+2 0 1 0 0 18 32 32 0.0639365487761045
+2 0 1 0 0 18 33 32 -0.0269158286163637
+2 0 1 0 0 18 34 32 -0.117220277357043
+2 0 1 0 0 18 35 32 -0.205118972117534
+2 0 1 0 0 18 36 32 -0.288811734351734
+2 0 1 0 0 18 37 32 -0.365347955302905
+2 0 1 0 0 18 38 32 -0.436059668496852
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 -0.637195713383579
+2 0 0 0 0 18 2 32 -0.604381951846523
+2 0 0 0 0 18 4 32 -0.522604758968737
+2 0 0 0 0 18 6 32 -0.398489236569475
+2 0 0 0 0 18 8 32 -0.242090486130096
+2 0 0 0 0 18 10 32 -0.0660790042720144
+2 0 0 0 0 18 12 32 0.115285805525215
+2 0 0 0 0 18 14 32 0.287310844989877
+2 0 0 0 0 18 16 32 0.437116971964769
+2 0 0 0 0 18 18 32 0.54998022255102
+2 0 0 0 0 18 20 32 0.618266757464451
+2 0 0 0 0 18 22 32 0.636464996662099
+2 0 0 0 0 18 24 32 0.603100627033265
+2 0 0 0 0 18 26 32 0.520876631379732
+2 0 0 0 0 18 28 32 0.396454308824417
+2 0 0 0 0 18 30 32 0.239913615972709
+2 0 0 0 0 18 32 32 0.0639365487761045
+2 0 0 0 0 18 34 32 -0.117220277357043
+2 0 0 0 0 18 36 32 -0.288811734351734
+2 0 0 0 0 18 38 32 -0.436059668496852
+2 0 0 0 0 18 40 32 -0.54948153100891
+2 0 0 0 0 18 42 32 -0.618387667771118
+2 0 0 0 0 18 44 32 -0.637195713383579
+2 0 0 0 0 18 46 32 -0.604381951846523
+2 0 0 0 0 18 48 32 -0.522604758968737
+2 0 0 0 0 18 50 32 -0.398489236569475
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0.297122722560746
+3 0 1 0 0 18 14 32 0.374509240180489
+3 0 1 0 0 18 15 32 0.447057640236956
+3 0 1 0 0 18 16 32 0.506827467675778
+3 0 1 0 0 18 17 32 0.556679618070835
+3 0 1 0 0 18 18 32 0.595093232939735
+3 0 1 0 0 18 19 32 0.621398315943458
+3 0 1 0 0 18 20 32 0.635052877796211
+3 0 1 0 0 18 21 32 0.635779594398306
+3 0 1 0 0 18 22 32 0.6235636718954
+3 0 1 0 0 18 23 32 0.598653791241841
+3 0 1 0 0 18 24 32 0.561557045773571
+3 0 1 0 0 18 25 32 0.513028618250146
+3 0 1 0 0 18 26 32 0.454056407511513
+3 0 1 0 0 18 27 32 0.385840917706499
+3 0 1 0 0 18 28 32 0.309770819490304
+3 0 1 0 0 18 29 32 0.227394680694563
+3 0 1 0 0 18 30 32 0.14038944195199
+3 0 1 0 0 18 31 32 0.0505262790209927
+3 0 1 0 0 18 32 32 -0.0403654532451151
+3 0 1 0 0 18 33 32 -0.130434852313489
+3 0 1 0 0 18 34 32 -0.217845818675877
+3 0 1 0 0 18 35 32 -0.300740709184171
+3 0 1 0 0 18 36 32 -0.377490025456466
+3 0 1 0 0 18 37 32 -0.444792713212239
+3 0 1 0 0 18 38 32 -0.504818975199184
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0.385785774294104
+4 0 1 0 0 18 14 32 0.454285228667723
+4 0 1 0 0 18 15 32 0.515349182687446
+4 0 1 0 0 18 16 32 0.562872587609479
+4 0 1 0 0 18 17 32 0.599805164278482
+4 0 1 0 0 18 18 32 0.624236541461447
+4 0 1 0 0 18 19 32 0.635994238595929
+4 0 1 0 0 18 20 32 0.63479835123162
+4 0 1 0 0 18 21 32 0.620680054866748
+4 0 1 0 0 18 22 32 0.593926482371914
+4 0 1 0 0 18 23 32 0.555082279438528
+4 0 1 0 0 18 24 32 0.504938202020884
+4 0 1 0 0 18 25 32 0.444515038931626
+4 0 1 0 0 18 26 32 0.375042831525238
+4 0 1 0 0 18 27 32 0.297935833603211
+4 0 1 0 0 18 28 32 0.214763721285018
+4 0 1 0 0 18 29 32 0.127219638928892
+4 0 1 0 0 18 30 32 0.0370857315953171
+4 0 1 0 0 18 31 32 -0.0538031152566822
+4 0 1 0 0 18 32 32 -0.143596518225502
+4 0 1 0 0 18 33 32 -0.23046138528641
+4 0 1 0 0 18 34 32 -0.312625186671178
+4 0 1 0 0 18 35 32 -0.38823632432856
+4 0 1 0 0 18 36 32 -0.455984941029043
+4 0 1 0 0 18 37 32 -0.513778155864505
+4 0 1 0 0 18 38 32 -0.562263542224784
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 -0.59648290094983
+4 0 0 0 0 18 2 32 -0.508360375451156
+4 0 0 0 0 18 4 32 -0.379053515669004
+4 0 0 0 0 18 6 32 -0.2190379943654
+4 0 0 0 0 18 8 32 -0.0412773174274225
+4 0 0 0 0 18 10 32 0.139827402282866
+4 0 0 0 0 18 12 32 0.309604137445777
+4 0 0 0 0 18 14 32 0.454285228667723
+4 0 0 0 0 18 16 32 0.562872587609479
+4 0 0 0 0 18 18 32 0.624236541461447
+4 0 0 0 0 18 20 32 0.63479835123162
+4 0 0 0 0 18 22 32 0.593926482371914
+4 0 0 0 0 18 24 32 0.504938202020884
+4 0 0 0 0 18 26 32 0.375042831525238
+4 0 0 0 0 18 28 32 0.214763721285018
+4 0 0 0 0 18 30 32 0.0370857315953171
+4 0 0 0 0 18 32 32 -0.143596518225502
+4 0 0 0 0 18 34 32 -0.312625186671178
+4 0 0 0 0 18 36 32 -0.455984941029043
+4 0 0 0 0 18 38 32 -0.562263542224784
+4 0 0 0 0 18 40 32 -0.624533179725877
+4 0 0 0 0 18 42 32 -0.636281929233952
+4 0 0 0 0 18 44 32 -0.59648290094983
+4 0 0 0 0 18 46 32 -0.508360375451156
+4 0 0 0 0 18 48 32 -0.379053515669004
+4 0 0 0 0 18 50 32 -0.2190379943654
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0.461982023582225
+5 0 1 0 0 18 14 32 0.520003489409864
+5 0 1 0 0 18 15 32 0.569854933845858
+5 0 1 0 0 18 16 32 0.603755785439125
+5 0 1 0 0 18 17 32 0.626858891631565
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+5 0 1 0 0 18 23 32 0.496608900974717
+5 0 1 0 0 18 24 32 0.434761914942754
+5 0 1 0 0 18 25 32 0.364064430264635
+5 0 1 0 0 18 26 32 0.285955643475593
+5 0 1 0 0 18 27 32 0.202025624589048
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+5 0 1 0 0 18 29 32 0.0236199048966097
+5 0 1 0 0 18 30 32 -0.0672239625044689
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+5 0 1 0 0 18 33 32 -0.324300834136323
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+5 0 1 0 0 18 36 32 -0.522215203987438
+5 0 1 0 0 18 37 32 -0.567907470470853
+5 0 1 0 0 18 38 32 -0.603405776709597
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0.528170939056102
+6 0 1 0 0 18 14 32 0.573875796087483
+6 0 1 0 0 18 15 32 0.609087322014563
+6 0 1 0 0 18 16 32 0.628402653438365
+6 0 1 0 0 18 17 32 0.637119138677272
+6 0 1 0 0 18 18 32 0.631886034000754
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+6 0 1 0 0 18 20 32 0.583638351527045
+6 0 1 0 0 18 21 32 0.541352712685987
+6 0 1 0 0 18 22 32 0.488044558110811
+6 0 1 0 0 18 23 32 0.42480135260734
+6 0 1 0 0 18 24 32 0.352910397571519
+6 0 1 0 0 18 25 32 0.273835207366862
+6 0 1 0 0 18 26 32 0.18918551965469
+6 0 1 0 0 18 27 32 0.100684562555401
+6 0 1 0 0 18 28 32 0.0101339563806704
+6 0 1 0 0 18 29 32 -0.0806229319082321
+6 0 1 0 0 18 30 32 -0.169738510051192
+6 0 1 0 0 18 31 32 -0.255397071557323
+6 0 1 0 0 18 32 32 -0.335854012747449
+6 0 1 0 0 18 33 32 -0.409421675989771
+6 0 1 0 0 18 34 32 -0.474646424983613
+6 0 1 0 0 18 35 32 -0.529755456715264
+6 0 1 0 0 18 36 32 -0.574438460952919
+6 0 1 0 0 18 37 32 -0.608058940421168
+6 0 1 0 0 18 38 32 -0.629908209608308
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 -0.493113583217527
+6 0 0 0 0 18 2 32 -0.358814710696291
+6 0 0 0 0 18 4 32 -0.195446804267703
+6 0 0 0 0 18 6 32 -0.0162449601242362
+6 0 0 0 0 18 8 32 0.164272954075997
+6 0 0 0 0 18 10 32 0.331482033068
+6 0 0 0 0 18 12 32 0.471798630517263
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+6 0 0 0 0 18 16 32 0.628402653438365
+6 0 0 0 0 18 18 32 0.631886034000754
+6 0 0 0 0 18 20 32 0.583638351527045
+6 0 0 0 0 18 22 32 0.488044558110811
+6 0 0 0 0 18 24 32 0.352910397571519
+6 0 0 0 0 18 26 32 0.18918551965469
+6 0 0 0 0 18 28 32 0.0101339563806704
+6 0 0 0 0 18 30 32 -0.169738510051192
+6 0 0 0 0 18 32 32 -0.335854012747449
+6 0 0 0 0 18 34 32 -0.474646424983613
+6 0 0 0 0 18 36 32 -0.574438460952919
+6 0 0 0 0 18 38 32 -0.629908209608308
+6 0 0 0 0 18 40 32 -0.634176468120291
+6 0 0 0 0 18 42 32 -0.587465672010459
+6 0 0 0 0 18 44 32 -0.493113583217527
+6 0 0 0 0 18 46 32 -0.358814710696291
+6 0 0 0 0 18 48 32 -0.195446804267703
+6 0 0 0 0 18 50 32 -0.0162449601242362
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0.578671104300322
+7 0 1 0 0 18 14 32 0.611121003454581
+7 0 1 0 0 18 15 32 0.632013115889689
+7 0 1 0 0 18 16 32 0.636200804009816
+7 0 1 0 0 18 17 32 0.630312542650457
+7 0 1 0 0 18 18 32 0.610160212322149
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+7 0 1 0 0 18 20 32 0.534097689118348
+7 0 1 0 0 18 21 32 0.479250014910029
+7 0 1 0 0 18 22 32 0.414637952981375
+7 0 1 0 0 18 23 32 0.341585828409913
+7 0 1 0 0 18 24 32 0.261579849657015
+7 0 1 0 0 18 25 32 0.176248880089474
+7 0 1 0 0 18 26 32 0.0873299772915073
+7 0 1 0 0 18 27 32 -0.00336669858961961
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+7 0 1 0 0 18 29 32 -0.182709410653042
+7 0 1 0 0 18 30 32 -0.267704296181097
+7 0 1 0 0 18 31 32 -0.347243717836349
+7 0 1 0 0 18 32 32 -0.41970982909781
+7 0 1 0 0 18 33 32 -0.483526326570885
+7 0 1 0 0 18 34 32 -0.537519539808811
+7 0 1 0 0 18 35 32 -0.580035484126775
+7 0 1 0 0 18 36 32 -0.611280570634159
+7 0 1 0 0 18 37 32 -0.631172610091491
+7 0 1 0 0 18 38 32 -0.639028155964778
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0.615314473707338
+8 0 1 0 0 18 14 32 0.633332826593157
+8 0 1 0 0 18 15 32 0.638001537889407
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+8 0 1 0 0 18 23 32 0.249195503353823
+8 0 1 0 0 18 24 32 0.163221645576797
+8 0 1 0 0 18 25 32 0.073925170044136
+8 0 1 0 0 18 26 32 -0.0168762688853687
+8 0 1 0 0 18 27 32 -0.107334099779155
+8 0 1 0 0 18 28 32 -0.195606942967318
+8 0 1 0 0 18 29 32 -0.279897248384803
+8 0 1 0 0 18 30 32 -0.358489002629628
+8 0 1 0 0 18 31 32 -0.429767476506033
+8 0 1 0 0 18 32 32 -0.492292256259366
+8 0 1 0 0 18 33 32 -0.544616994755697
+8 0 1 0 0 18 34 32 -0.585933469112767
+8 0 1 0 0 18 35 32 -0.614791616842848
+8 0 1 0 0 18 36 32 -0.631813216232031
+8 0 1 0 0 18 37 32 -0.638237275477403
+8 0 1 0 0 18 38 32 -0.63167984409772
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -0.337794414256765
+8 0 0 0 0 18 2 32 -0.171335037756763
+8 0 0 0 0 18 4 32 0.00900705762306821
+8 0 0 0 0 18 6 32 0.188619368399998
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+8 0 0 0 0 18 16 32 0.626989279825657
+8 0 0 0 0 18 18 32 0.572015345905322
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+8 0 0 0 0 18 40 32 -0.577133610586342
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+8 0 0 0 0 18 46 32 -0.171335037756763
+8 0 0 0 0 18 48 32 0.00900705762306821
+8 0 0 0 0 18 50 32 0.188619368399998
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0.634684145500917
+9 0 1 0 0 18 14 32 0.638106163163616
+9 0 1 0 0 18 15 32 0.626929264822066
+9 0 1 0 0 18 16 32 0.601076676021811
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+9 0 1 0 0 18 18 32 0.518479139002867
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+9 0 1 0 0 18 35 32 -0.633143385188576
+9 0 1 0 0 18 36 32 -0.63549641025942
+9 0 1 0 0 18 37 32 -0.627909332421495
+9 0 1 0 0 18 38 32 -0.60765616371159
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 0.637802949551435
+10 0 1 0 0 18 14 32 0.626242713945824
+10 0 1 0 0 18 15 32 0.599083996747907
+10 0 1 0 0 18 16 32 0.559198918317538
+10 0 1 0 0 18 17 32 0.511557886489331
+10 0 1 0 0 18 18 32 0.451006372427035
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+10 0 1 0 0 18 20 32 0.306561705371689
+10 0 1 0 0 18 21 32 0.224079923140547
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+10 0 1 0 0 18 24 32 -0.0438955148072313
+10 0 1 0 0 18 25 32 -0.133889237626754
+10 0 1 0 0 18 26 32 -0.221157957223252
+10 0 1 0 0 18 27 32 -0.303924005836677
+10 0 1 0 0 18 28 32 -0.380503165832816
+10 0 1 0 0 18 29 32 -0.449331403403231
+10 0 1 0 0 18 30 32 -0.509010837900783
+10 0 1 0 0 18 31 32 -0.558263990830032
+10 0 1 0 0 18 32 32 -0.596167406445972
+10 0 1 0 0 18 33 32 -0.621599985044273
+10 0 1 0 0 18 34 32 -0.63465881719728
+10 0 1 0 0 18 35 32 -0.634638239940374
+10 0 1 0 0 18 36 32 -0.622293913936357
+10 0 1 0 0 18 37 32 -0.601093102339305
+10 0 1 0 0 18 38 32 -0.567026151571569
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -0.146717302248781
+10 0 0 0 0 18 2 32 0.0344564120422083
+10 0 0 0 0 18 4 32 0.212856332547802
+10 0 0 0 0 18 6 32 0.374010450518071
+10 0 0 0 0 18 8 32 0.504851039387571
+10 0 0 0 0 18 10 32 0.594792870615756
+10 0 0 0 0 18 12 32 0.636004409817631
+10 0 0 0 0 18 14 32 0.626242713945824
+10 0 0 0 0 18 16 32 0.559198918317538
+10 0 0 0 0 18 18 32 0.451006372427035
+10 0 0 0 0 18 20 32 0.306561705371689
+10 0 0 0 0 18 22 32 0.13691747524807
+10 0 0 0 0 18 24 32 -0.0438955148072313
+10 0 0 0 0 18 26 32 -0.221157957223252
+10 0 0 0 0 18 28 32 -0.380503165832816
+10 0 0 0 0 18 30 32 -0.509010837900783
+10 0 0 0 0 18 32 32 -0.596167406445972
+10 0 0 0 0 18 34 32 -0.63465881719728
+10 0 0 0 0 18 36 32 -0.622293913936357
+10 0 0 0 0 18 38 32 -0.567026151571569
+10 0 0 0 0 18 40 32 -0.459117974935283
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+10 0 0 0 0 18 44 32 -0.146717302248781
+10 0 0 0 0 18 46 32 0.0344564120422083
+10 0 0 0 0 18 48 32 0.212856332547802
+10 0 0 0 0 18 50 32 0.374010450518071
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0.623890701044922
+11 0 1 0 0 18 14 32 0.597981119610756
+11 0 1 0 0 18 15 32 0.555255460639951
+11 0 1 0 0 18 16 32 0.502520311488975
+11 0 1 0 0 18 17 32 0.442736976927187
+11 0 1 0 0 18 18 32 0.37144017641271
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+11 0 1 0 0 18 31 32 -0.600772718896677
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+11 0 1 0 0 18 33 32 -0.635460856803793
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+11 0 1 0 0 18 35 32 -0.619272893967401
+11 0 1 0 0 18 36 32 -0.59254383399494
+11 0 1 0 0 18 37 32 -0.558366056910157
+11 0 1 0 0 18 38 32 -0.512163545938501
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0.593055239247653
+12 0 1 0 0 18 14 32 0.553241833268086
+12 0 1 0 0 18 15 32 0.496607693835816
+12 0 1 0 0 18 16 32 0.432570205273845
+12 0 1 0 0 18 17 32 0.362070415133382
+12 0 1 0 0 18 18 32 0.28196086045698
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+12 0 1 0 0 18 24 32 -0.246336127739087
+12 0 1 0 0 18 25 32 -0.327426377941907
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+12 0 1 0 0 18 29 32 -0.570825180140896
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+12 0 1 0 0 18 36 32 -0.547092257461848
+12 0 1 0 0 18 37 32 -0.500387561732002
+12 0 1 0 0 18 38 32 -0.442277100725438
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0.060135210290912
+12 0 0 0 0 18 2 32 0.236957458686899
+12 0 0 0 0 18 4 32 0.394656523170681
+12 0 0 0 0 18 6 32 0.520374610204579
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+12 0 0 0 0 18 18 32 0.28196086045698
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+12 0 0 0 0 18 22 32 -0.0708868541085894
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+12 0 0 0 0 18 38 32 -0.442277100725438
+12 0 0 0 0 18 40 32 -0.292296600410237
+12 0 0 0 0 18 42 32 -0.121852593477315
+12 0 0 0 0 18 44 32 0.060135210290912
+12 0 0 0 0 18 46 32 0.236957458686899
+12 0 0 0 0 18 48 32 0.394656523170681
+12 0 0 0 0 18 50 32 0.520374610204579
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vx.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vx.zl
new file mode 100644
index 000000000..74154f4f6
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vx.zl
@@ -0,0 +1,782 @@
+# HYDROTOY::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -0.636945771771587
+0 0 1 0 0 18 24 18 -0.62302697845592
+0 0 1 0 0 18 24 19 -0.581878916566593
+0 0 1 0 0 18 24 20 -0.515299953858479
+0 0 1 0 0 18 24 21 -0.426199910483232
+0 0 1 0 0 18 24 22 -0.318472885885792
+0 0 1 0 0 18 24 23 -0.196827067972686
+0 0 1 0 0 18 24 24 -0.0665789627081123
+0 0 1 0 0 18 24 25 0.0665789627081145
+0 0 1 0 0 18 24 26 0.196827067972688
+0 0 1 0 0 18 24 27 0.318472885885794
+0 0 1 0 0 18 24 28 0.426199910483233
+0 0 1 0 0 18 24 29 0.515299953858481
+0 0 1 0 0 18 24 30 0.581878916566594
+0 0 1 0 0 18 24 31 0.62302697845592
+0 0 1 0 0 18 24 32 0.636945771771587
+0 0 1 0 0 18 24 33 0.62302697845592
+0 0 1 0 0 18 24 34 0.581878916566594
+0 0 1 0 0 18 24 35 0.515299953858481
+0 0 1 0 0 18 24 36 0.426199910483233
+0 0 1 0 0 18 24 37 0.318472885885794
+0 0 1 0 0 18 24 38 0.196827067972688
+0 0 1 0 0 18 24 39 0.0665789627081145
+0 0 1 0 0 18 24 40 -0.0665789627081124
+0 0 1 0 0 18 24 41 -0.196827067972686
+0 0 1 0 0 18 24 42 -0.318472885885792
+0 0 1 0 0 18 24 43 -0.426199910483232
+0 0 1 0 0 18 24 44 -0.515299953858479
+0 0 1 0 0 18 24 45 -0.581878916566593
+0 0 1 0 0 18 24 46 -0.62302697845592
+0 0 1 0 0 18 24 47 -0.636945771771587
+0 0 1 0 0 18 24 48 -0.62302697845592
+0 0 1 0 0 18 24 49 -0.581878916566595
+0 0 1 0 0 18 24 50 -0.515299953858482
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 0.581878916566596
+0 0 0 0 0 18 24 2 0.636945771771587
+0 0 0 0 0 18 24 4 0.581878916566593
+0 0 0 0 0 18 24 6 0.42619991048323
+0 0 0 0 0 18 24 8 0.196827067972683
+0 0 0 0 0 18 24 10 -0.0665789627081168
+0 0 0 0 0 18 24 12 -0.318472885885796
+0 0 0 0 0 18 24 14 -0.515299953858482
+0 0 0 0 0 18 24 16 -0.62302697845592
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+0 0 0 0 0 18 24 20 -0.515299953858479
+0 0 0 0 0 18 24 22 -0.318472885885792
+0 0 0 0 0 18 24 24 -0.0665789627081123
+0 0 0 0 0 18 24 26 0.196827067972688
+0 0 0 0 0 18 24 28 0.426199910483233
+0 0 0 0 0 18 24 30 0.581878916566594
+0 0 0 0 0 18 24 32 0.636945771771587
+0 0 0 0 0 18 24 34 0.581878916566594
+0 0 0 0 0 18 24 36 0.426199910483233
+0 0 0 0 0 18 24 38 0.196827067972688
+0 0 0 0 0 18 24 40 -0.0665789627081124
+0 0 0 0 0 18 24 42 -0.318472885885792
+0 0 0 0 0 18 24 44 -0.515299953858479
+0 0 0 0 0 18 24 46 -0.62302697845592
+0 0 0 0 0 18 24 48 -0.62302697845592
+0 0 0 0 0 18 24 50 -0.515299953858482
+0 0 0 0 0 18 24 52 -0.318472885885796
+0 0 0 0 0 18 24 54 -0.0665789627081168
+0 0 0 0 0 18 24 56 0.196827067972684
+0 0 0 0 0 18 24 58 0.42619991048323
+0 0 0 0 0 18 24 60 0.581878916566593
+0 0 0 0 0 18 24 62 0.636945771771587
+0 0 0 0 0 18 24 64 0.581878916566596
+0 0 0 0 0 18 24 66 0.426199910483237
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -0.628552655248775
+1 0 1 0 0 18 24 18 -0.594053210778659
+1 0 1 0 0 18 24 19 -0.531840633280331
+1 0 1 0 0 18 24 20 -0.447328013745592
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+1 0 1 0 0 18 24 24 0.037694806107133
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+1 0 1 0 0 18 24 27 0.404256490972886
+1 0 1 0 0 18 24 28 0.497773510679683
+1 0 1 0 0 18 24 29 0.569535439387465
+1 0 1 0 0 18 24 30 0.616405936459762
+1 0 1 0 0 18 24 31 0.636336536264916
+1 0 1 0 0 18 24 32 0.628456175953815
+1 0 1 0 0 18 24 33 0.593109265086217
+1 0 1 0 0 18 24 34 0.531840633280333
+1 0 1 0 0 18 24 35 0.447328013745593
+1 0 1 0 0 18 24 36 0.343265013492209
+1 0 1 0 0 18 24 37 0.224199684980931
+1 0 1 0 0 18 24 38 0.0953357544065354
+1 0 1 0 0 18 24 39 -0.0376948061071307
+1 0 1 0 0 18 24 40 -0.169077922714167
+1 0 1 0 0 18 24 41 -0.293071522772706
+1 0 1 0 0 18 24 42 -0.404256490972884
+1 0 1 0 0 18 24 43 -0.497773510679681
+1 0 1 0 0 18 24 44 -0.569535439387463
+1 0 1 0 0 18 24 45 -0.616405936459761
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+1 0 1 0 0 18 24 47 -0.628456175953816
+1 0 1 0 0 18 24 48 -0.593109265086218
+1 0 1 0 0 18 24 49 -0.532764421039846
+1 0 1 0 0 18 24 50 -0.448932909375275
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -0.603952191874012
+2 0 1 0 0 18 24 18 -0.548892104535778
+2 0 1 0 0 18 24 19 -0.467447866874051
+2 0 1 0 0 18 24 20 -0.367350511862264
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+2 0 1 0 0 18 24 24 0.140973507602591
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+2 0 1 0 0 18 24 26 0.381466611518256
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+2 0 1 0 0 18 24 28 0.556000672787044
+2 0 1 0 0 18 24 29 0.608496017634465
+2 0 1 0 0 18 24 30 0.634397166623412
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+2 0 1 0 0 18 24 33 0.54727074741172
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+2 0 1 0 0 18 24 44 -0.608496017634465
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+2 0 1 0 0 18 24 47 -0.603114437017972
+2 0 1 0 0 18 24 48 -0.547369821424088
+2 0 1 0 0 18 24 49 -0.469079251221587
+2 0 1 0 0 18 24 50 -0.369418369953891
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 0.634847735200847
+2 0 0 0 0 18 24 2 0.604381951846527
+2 0 0 0 0 18 24 4 0.469413038380274
+2 0 0 0 0 18 24 6 0.253278346094499
+2 0 0 0 0 18 24 8 -0.00665047319255442
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+2 0 0 0 0 18 24 24 0.140973507602591
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+2 0 0 0 0 18 24 32 0.603100627033265
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+2 0 0 0 0 18 24 54 0.139079131940511
+2 0 0 0 0 18 24 56 0.380179061620702
+2 0 0 0 0 18 24 58 0.555542577728327
+2 0 0 0 0 18 24 60 0.634847735200847
+2 0 0 0 0 18 24 62 0.604381951846527
+2 0 0 0 0 18 24 64 0.469413038380274
+2 0 0 0 0 18 24 66 0.253278346094499
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -0.56404500468142
+3 0 1 0 0 18 24 18 -0.490169365593426
+3 0 1 0 0 18 24 19 -0.390420486732474
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+3 0 1 0 0 18 24 49 -0.393462752993905
+3 0 1 0 0 18 24 50 -0.281813846197895
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -0.50812143198451
+4 0 1 0 0 18 24 18 -0.417009758662887
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+4 0 1 0 0 18 24 49 -0.306499131785603
+4 0 1 0 0 18 24 50 -0.184433501239431
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 0.621361463077224
+4 0 0 0 0 18 24 2 0.508360375451162
+4 0 0 0 0 18 24 4 0.307459160600561
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+4 0 0 0 0 18 24 64 0.307459160600561
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+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -0.440215712712109
+5 0 1 0 0 18 24 18 -0.334569609426121
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+5 0 1 0 0 18 24 50 -0.0844937466888049
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -0.358773166285318
+6 0 1 0 0 18 24 18 -0.241130142655809
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+6 0 1 0 0 18 24 49 -0.111470001901406
+6 0 1 0 0 18 24 50 0.0204108879907517
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 0.542663970499057
+6 0 0 0 0 18 24 2 0.358814710696298
+6 0 0 0 0 18 24 4 0.112923127684829
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+6 0 0 0 0 18 24 64 0.112923127684829
+6 0 0 0 0 18 24 66 -0.152493889977748
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -0.269958967633508
+7 0 1 0 0 18 24 18 -0.143639857955098
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+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -0.17154155732614
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+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 0.406861988467461
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+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -0.0711814641347157
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+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 0.0338094988824368
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+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 0.228090403271795
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+10 0 0 0 0 18 24 28 0.442895619825624
+10 0 0 0 0 18 24 30 0.218380064767562
+10 0 0 0 0 18 24 32 -0.0438955148072313
+10 0 0 0 0 18 24 34 -0.298581162863654
+10 0 0 0 0 18 24 36 -0.501639415491453
+10 0 0 0 0 18 24 38 -0.617959670968275
+10 0 0 0 0 18 24 40 -0.627429830395076
+10 0 0 0 0 18 24 42 -0.528429993829278
+10 0 0 0 0 18 24 44 -0.33827697278585
+10 0 0 0 0 18 24 46 -0.0907192858194223
+10 0 0 0 0 18 24 48 0.171150045887553
+10 0 0 0 0 18 24 50 0.404382623841118
+10 0 0 0 0 18 24 52 0.569690389706497
+10 0 0 0 0 18 24 54 0.6383315612417
+10 0 0 0 0 18 24 56 0.596289674067959
+10 0 0 0 0 18 24 58 0.451199963447692
+10 0 0 0 0 18 24 60 0.228090403271795
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+10 0 0 0 0 18 24 64 -0.29104750334742
+10 0 0 0 0 18 24 66 -0.497312687543866
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 0.135071702071379
+11 0 1 0 0 18 24 18 0.261794697721272
+11 0 1 0 0 18 24 19 0.390432160534538
+11 0 1 0 0 18 24 20 0.4796059465156
+11 0 1 0 0 18 24 21 0.5606947295105
+11 0 1 0 0 18 24 22 0.609133367144669
+11 0 1 0 0 18 24 23 0.635247055196379
+11 0 1 0 0 18 24 24 0.631594556108915
+11 0 1 0 0 18 24 25 0.601048421493697
+11 0 1 0 0 18 24 26 0.543983251353138
+11 0 1 0 0 18 24 27 0.46320612789243
+11 0 1 0 0 18 24 28 0.362165489036842
+11 0 1 0 0 18 24 29 0.245302599322502
+11 0 1 0 0 18 24 30 0.117714533542418
+11 0 1 0 0 18 24 31 -0.0150142608822151
+11 0 1 0 0 18 24 32 -0.147090794529019
+11 0 1 0 0 18 24 33 -0.272734969650569
+11 0 1 0 0 18 24 34 -0.386462797656264
+11 0 1 0 0 18 24 35 -0.48329732385145
+11 0 1 0 0 18 24 36 -0.559011873276338
+11 0 1 0 0 18 24 37 -0.610293193436477
+11 0 1 0 0 18 24 38 -0.634902783264357
+11 0 1 0 0 18 24 39 -0.631764442714586
+11 0 1 0 0 18 24 40 -0.601015475340685
+11 0 1 0 0 18 24 41 -0.544012871882568
+11 0 1 0 0 18 24 42 -0.463247194381164
+11 0 1 0 0 18 24 43 -0.362381623537131
+11 0 1 0 0 18 24 44 -0.245733294577368
+11 0 1 0 0 18 24 45 -0.119130982032221
+11 0 1 0 0 18 24 46 0.0129736720064981
+11 0 1 0 0 18 24 47 0.14282607771679
+11 0 1 0 0 18 24 48 0.268636046854758
+11 0 1 0 0 18 24 49 0.380812836636222
+11 0 1 0 0 18 24 50 0.47900260770315
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 0.235487791423327
+12 0 1 0 0 18 24 18 0.353466358779619
+12 0 1 0 0 18 24 19 0.468384747450212
+12 0 1 0 0 18 24 20 0.540367352347855
+12 0 1 0 0 18 24 21 0.603542212025001
+12 0 1 0 0 18 24 22 0.63026628846697
+12 0 1 0 0 18 24 23 0.635351815369474
+12 0 1 0 0 18 24 24 0.609662012104963
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+12 0 1 0 0 18 24 28 0.271714305718887
+12 0 1 0 0 18 24 29 0.145997334264288
+12 0 1 0 0 18 24 30 0.0138906979409765
+12 0 1 0 0 18 24 31 -0.118815401848351
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+12 0 1 0 0 18 24 33 -0.363083699144163
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+12 0 1 0 0 18 24 35 -0.544571523420107
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+12 0 1 0 0 18 24 37 -0.631898039776831
+12 0 1 0 0 18 24 38 -0.634803020668496
+12 0 1 0 0 18 24 39 -0.609965484385961
+12 0 1 0 0 18 24 40 -0.558470763155202
+12 0 1 0 0 18 24 41 -0.482597558318053
+12 0 1 0 0 18 24 42 -0.38565203315338
+12 0 1 0 0 18 24 43 -0.272095269213778
+12 0 1 0 0 18 24 44 -0.146677077416346
+12 0 1 0 0 18 24 45 -0.0158575858464714
+12 0 1 0 0 18 24 46 0.116261708401453
+12 0 1 0 0 18 24 47 0.241604611797312
+12 0 1 0 0 18 24 48 0.359101177998356
+12 0 1 0 0 18 24 49 0.460064930903093
+12 0 1 0 0 18 24 50 0.543167313638826
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 0.0250411599882911
+12 0 0 0 0 18 24 2 -0.23696361719395
+12 0 0 0 0 18 24 4 -0.457995382209808
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+12 0 0 0 0 18 24 58 0.282719842833278
+12 0 0 0 0 18 24 60 0.0250411599882911
+12 0 0 0 0 18 24 62 -0.23696361719395
+12 0 0 0 0 18 24 64 -0.457995382209808
+12 0 0 0 0 18 24 66 -0.599835554460835
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vy.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vy.xl
new file mode 100644
index 000000000..1c41a0453
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vy.xl
@@ -0,0 +1,482 @@
+# HYDROTOY::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -0.134200273617741
+0 0 1 0 0 10 24 32 -0.045394747300986
+0 0 1 0 0 11 24 32 0.0453947473009874
+0 0 1 0 0 12 24 32 0.134200273617742
+0 0 1 0 0 13 24 32 0.217140604013042
+0 0 1 0 0 14 24 32 0.290590848056751
+0 0 1 0 0 15 24 32 0.351340877630784
+0 0 1 0 0 16 24 32 0.39673562493177
+0 0 1 0 0 17 24 32 0.424791121674493
+0 0 1 0 0 18 24 32 0.434281208026084
+0 0 1 0 0 19 24 32 0.424791121674493
+0 0 1 0 0 20 24 32 0.39673562493177
+0 0 1 0 0 21 24 32 0.351340877630784
+0 0 1 0 0 22 24 32 0.290590848056751
+0 0 1 0 0 23 24 32 0.217140604013042
+0 0 1 0 0 24 24 32 0.134200273617742
+0 0 1 0 0 25 24 32 0.0453947473009874
+0 0 1 0 0 26 24 32 -0.045394747300986
+0 0 1 0 0 27 24 32 -0.134200273617741
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -0.351340877630785
+0 0 0 0 0 2 24 32 -0.424791121674493
+0 0 0 0 0 4 24 32 -0.424791121674492
+0 0 0 0 0 6 24 32 -0.351340877630783
+0 0 0 0 0 8 24 32 -0.217140604013041
+0 0 0 0 0 10 24 32 -0.045394747300986
+0 0 0 0 0 12 24 32 0.134200273617742
+0 0 0 0 0 14 24 32 0.290590848056751
+0 0 0 0 0 16 24 32 0.39673562493177
+0 0 0 0 0 18 24 32 0.434281208026084
+0 0 0 0 0 20 24 32 0.39673562493177
+0 0 0 0 0 22 24 32 0.290590848056751
+0 0 0 0 0 24 24 32 0.134200273617742
+0 0 0 0 0 26 24 32 -0.045394747300986
+0 0 0 0 0 28 24 32 -0.217140604013041
+0 0 0 0 0 30 24 32 -0.351340877630783
+0 0 0 0 0 32 24 32 -0.424791121674492
+0 0 0 0 0 34 24 32 -0.424791121674493
+0 0 0 0 0 36 24 32 -0.351340877630785
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -0.0655271005248178
+1 0 1 0 0 10 24 32 0.0251548699529308
+1 0 1 0 0 11 24 32 0.115554933383201
+1 0 1 0 0 12 24 32 0.200079272368088
+1 0 1 0 0 13 24 32 0.275859187063621
+1 0 1 0 0 14 24 32 0.33958273156523
+1 0 1 0 0 15 24 32 0.388464881198702
+1 0 1 0 0 16 24 32 0.420369251462477
+1 0 1 0 0 17 24 32 0.433901468281873
+1 0 1 0 0 18 24 32 0.428470108847102
+1 0 1 0 0 19 24 32 0.404312549628018
+1 0 1 0 0 20 24 32 0.362484591883325
+1 0 1 0 0 21 24 32 0.304814318079277
+1 0 1 0 0 22 24 32 0.233822195913786
+1 0 1 0 0 23 24 32 0.152610921783482
+1 0 1 0 0 24 24 32 0.064729818062789
+1 0 1 0 0 25 24 32 -0.0259802893153761
+1 0 1 0 0 26 24 32 -0.114784079645862
+1 0 1 0 0 27 24 32 -0.199254888577804
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0.0067368636882607
+2 0 1 0 0 10 24 32 0.0970575786127553
+2 0 1 0 0 11 24 32 0.182691419617382
+2 0 1 0 0 12 24 32 0.260571042573595
+2 0 1 0 0 13 24 32 0.327161478786347
+2 0 1 0 0 14 24 32 0.379439024041274
+2 0 1 0 0 15 24 32 0.415133263195151
+2 0 1 0 0 16 24 32 0.432684186716991
+2 0 1 0 0 17 24 32 0.431324735030215
+2 0 1 0 0 18 24 32 0.411114322696907
+2 0 1 0 0 19 24 32 0.372936241716352
+2 0 1 0 0 20 24 32 0.318459057426157
+2 0 1 0 0 21 24 32 0.250063684190337
+2 0 1 0 0 22 24 32 0.170739328016712
+2 0 1 0 0 23 24 32 0.0839528439105613
+2 0 1 0 0 24 24 32 -0.00648909154336562
+2 0 1 0 0 25 24 32 -0.0966107184904965
+2 0 1 0 0 26 24 32 -0.183131617804134
+2 0 1 0 0 27 24 32 -0.261016192773853
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -0.415891937557671
+2 0 0 0 0 2 24 32 -0.432015923162627
+2 0 0 0 0 4 24 32 -0.373440430911314
+2 0 0 0 0 6 24 32 -0.250293695555626
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+2 0 0 0 0 14 24 32 0.379439024041274
+2 0 0 0 0 16 24 32 0.432684186716991
+2 0 0 0 0 18 24 32 0.411114322696907
+2 0 0 0 0 20 24 32 0.318459057426157
+2 0 0 0 0 22 24 32 0.170739328016712
+2 0 0 0 0 24 24 32 -0.00648909154336562
+2 0 0 0 0 26 24 32 -0.183131617804134
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+2 0 0 0 0 30 24 32 -0.415891937557671
+2 0 0 0 0 32 24 32 -0.432015923162627
+2 0 0 0 0 34 24 32 -0.373440430911314
+2 0 0 0 0 36 24 32 -0.250293695555626
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0.0771461186784727
+3 0 1 0 0 10 24 32 0.164605362121077
+3 0 1 0 0 11 24 32 0.244983780636046
+3 0 1 0 0 12 24 32 0.31402442445534
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+3 0 1 0 0 14 24 32 0.409087313299692
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+3 0 1 0 0 17 24 32 0.417128040593949
+3 0 1 0 0 18 24 32 0.382677884009827
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+3 0 1 0 0 21 24 32 0.188557837193124
+3 0 1 0 0 22 24 32 0.103035634783726
+3 0 1 0 0 23 24 32 0.0130135931201852
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+3 0 1 0 0 25 24 32 -0.164618184676369
+3 0 1 0 0 26 24 32 -0.244894892163837
+3 0 1 0 0 27 24 32 -0.314259775831049
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0.147468779483187
+4 0 1 0 0 10 24 32 0.229700892663699
+4 0 1 0 0 11 24 32 0.300732746082803
+4 0 1 0 0 12 24 32 0.358988649969257
+4 0 1 0 0 13 24 32 0.402257985720142
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+4 0 1 0 0 17 24 32 0.391690568829183
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+4 0 1 0 0 20 24 32 0.206037751663742
+4 0 1 0 0 21 24 32 0.121947507760215
+4 0 1 0 0 22 24 32 0.032531203593674
+4 0 1 0 0 23 24 32 -0.058295554405356
+4 0 1 0 0 24 24 32 -0.146451470290289
+4 0 1 0 0 25 24 32 -0.228218134191667
+4 0 1 0 0 26 24 32 -0.301921392595625
+4 0 1 0 0 27 24 32 -0.360663728378029
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -0.436390709668035
+4 0 0 0 0 2 24 32 -0.393242459943245
+4 0 0 0 0 4 24 32 -0.282099016398671
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+4 0 0 0 0 16 24 32 0.422339886309233
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+4 0 0 0 0 24 24 32 -0.146451470290289
+4 0 0 0 0 26 24 32 -0.301921392595625
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+4 0 0 0 0 32 24 32 -0.393242459943245
+4 0 0 0 0 34 24 32 -0.282099016398671
+4 0 0 0 0 36 24 32 -0.122178090129659
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0.212244141686261
+5 0 1 0 0 10 24 32 0.287063113150458
+5 0 1 0 0 11 24 32 0.348424006707114
+5 0 1 0 0 12 24 32 0.394254849626787
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+5 0 1 0 0 19 24 32 0.223148979477436
+5 0 1 0 0 20 24 32 0.140658429076654
+5 0 1 0 0 21 24 32 0.0520214200343293
+5 0 1 0 0 22 24 32 -0.0388756285145791
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+5 0 1 0 0 25 24 32 -0.285728321752411
+5 0 1 0 0 26 24 32 -0.349528760824923
+5 0 1 0 0 27 24 32 -0.39634969310768
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0.273203853098232
+6 0 1 0 0 10 24 32 0.338452375944743
+6 0 1 0 0 11 24 32 0.386742765207455
+6 0 1 0 0 12 24 32 0.418885595860807
+6 0 1 0 0 13 24 32 0.434460840132813
+6 0 1 0 0 14 24 32 0.430250335970447
+6 0 1 0 0 15 24 32 0.407454221406054
+6 0 1 0 0 16 24 32 0.366788741076218
+6 0 1 0 0 17 24 32 0.310101572877442
+6 0 1 0 0 18 24 32 0.239859924880352
+6 0 1 0 0 19 24 32 0.159135427636964
+6 0 1 0 0 20 24 32 0.0714570375060532
+6 0 1 0 0 21 24 32 -0.0193414086642659
+6 0 1 0 0 22 24 32 -0.109260477294765
+6 0 1 0 0 23 24 32 -0.194386280811355
+6 0 1 0 0 24 24 32 -0.270742368979911
+6 0 1 0 0 25 24 32 -0.335662236199065
+6 0 1 0 0 26 24 32 -0.389277782943257
+6 0 1 0 0 27 24 32 -0.422543458803771
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -0.410565567330891
+6 0 0 0 0 2 24 32 -0.31242836501202
+6 0 0 0 0 4 24 32 -0.160269949080453
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+6 0 0 0 0 24 24 32 -0.270742368979911
+6 0 0 0 0 26 24 32 -0.389277782943257
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+6 0 0 0 0 32 24 32 -0.31242836501202
+6 0 0 0 0 34 24 32 -0.160269949080453
+6 0 0 0 0 36 24 32 0.0195994917971793
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0.325464368935162
+7 0 1 0 0 10 24 32 0.379512715255931
+7 0 1 0 0 11 24 32 0.414657266642639
+7 0 1 0 0 12 24 32 0.432244085101923
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+7 0 1 0 0 21 24 32 -0.0902222128743593
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+7 0 1 0 0 25 24 32 -0.376701962338033
+7 0 1 0 0 26 24 32 -0.417720222097029
+7 0 1 0 0 27 24 32 -0.43687830085631
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0.370567335265269
+8 0 1 0 0 10 24 32 0.411696119680897
+8 0 1 0 0 11 24 32 0.431387982039207
+8 0 1 0 0 12 24 32 0.433997713163954
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+8 0 1 0 0 22 24 32 -0.239460041891297
+8 0 1 0 0 23 24 32 -0.30981554050892
+8 0 1 0 0 24 24 32 -0.366315463849669
+8 0 1 0 0 25 24 32 -0.407801613460115
+8 0 1 0 0 26 24 32 -0.436005490570773
+8 0 1 0 0 27 24 32 -0.440058865335931
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -0.341015490395521
+8 0 0 0 0 2 24 32 -0.197963326621379
+8 0 0 0 0 4 24 32 -0.0206895246249846
+8 0 0 0 0 6 24 32 0.160152282285711
+8 0 0 0 0 8 24 32 0.313180968320112
+8 0 0 0 0 10 24 32 0.411696119680897
+8 0 0 0 0 12 24 32 0.433997713163954
+8 0 0 0 0 14 24 32 0.386660413351344
+8 0 0 0 0 16 24 32 0.271931946149666
+8 0 0 0 0 18 24 32 0.110017789592695
+8 0 0 0 0 20 24 32 -0.070920989631559
+8 0 0 0 0 22 24 32 -0.239460041891297
+8 0 0 0 0 24 24 32 -0.366315463849669
+8 0 0 0 0 26 24 32 -0.436005490570773
+8 0 0 0 0 28 24 32 -0.42500328893717
+8 0 0 0 0 30 24 32 -0.341015490395521
+8 0 0 0 0 32 24 32 -0.197963326621379
+8 0 0 0 0 34 24 32 -0.0206895246249846
+8 0 0 0 0 36 24 32 0.160152282285711
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0.40472433295966
+9 0 1 0 0 10 24 32 0.432053209798574
+9 0 1 0 0 11 24 32 0.436501589035664
+9 0 1 0 0 12 24 32 0.424133990965851
+9 0 1 0 0 13 24 32 0.396173925804731
+9 0 1 0 0 14 24 32 0.348827223497969
+9 0 1 0 0 15 24 32 0.287322902859996
+9 0 1 0 0 16 24 32 0.212777082124188
+9 0 1 0 0 17 24 32 0.129074724110136
+9 0 1 0 0 18 24 32 0.0396875154614991
+9 0 1 0 0 19 24 32 -0.0514242987750253
+9 0 1 0 0 20 24 32 -0.140268517609755
+9 0 1 0 0 21 24 32 -0.222977453938369
+9 0 1 0 0 22 24 32 -0.295779632184713
+9 0 1 0 0 23 24 32 -0.355848998411944
+9 0 1 0 0 24 24 32 -0.4001030270749
+9 0 1 0 0 25 24 32 -0.428131406064973
+9 0 1 0 0 26 24 32 -0.442262507732612
+9 0 1 0 0 27 24 32 -0.431460728928029
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0.429132057232166
+10 0 1 0 0 10 24 32 0.441567112082651
+10 0 1 0 0 11 24 32 0.429837865282912
+10 0 1 0 0 12 24 32 0.402941073073906
+10 0 1 0 0 13 24 32 0.361342906811839
+10 0 1 0 0 14 24 32 0.301566427778743
+10 0 1 0 0 15 24 32 0.230113139101432
+10 0 1 0 0 16 24 32 0.147848271990149
+10 0 1 0 0 17 24 32 0.0593884728970499
+10 0 1 0 0 18 24 32 -0.0317586497379348
+10 0 1 0 0 19 24 32 -0.121493909724889
+10 0 1 0 0 20 24 32 -0.205883790527638
+10 0 1 0 0 21 24 32 -0.281285496586437
+10 0 1 0 0 22 24 32 -0.344186482124405
+10 0 1 0 0 23 24 32 -0.392410693377731
+10 0 1 0 0 24 24 32 -0.42331540809756
+10 0 1 0 0 25 24 32 -0.437182813324981
+10 0 1 0 0 26 24 32 -0.437114967126505
+10 0 1 0 0 27 24 32 -0.411207306620555
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -0.234954538137424
+10 0 0 0 0 2 24 32 -0.0617960598986781
+10 0 0 0 0 4 24 32 0.121999929781576
+10 0 0 0 0 6 24 32 0.284668741770483
+10 0 0 0 0 8 24 32 0.397780509173224
+10 0 0 0 0 10 24 32 0.441567112082651
+10 0 0 0 0 12 24 32 0.402941073073906
+10 0 0 0 0 14 24 32 0.301566427778743
+10 0 0 0 0 16 24 32 0.147848271990149
+10 0 0 0 0 18 24 32 -0.0317586497379348
+10 0 0 0 0 20 24 32 -0.205883790527638
+10 0 0 0 0 22 24 32 -0.344186482124405
+10 0 0 0 0 24 24 32 -0.42331540809756
+10 0 0 0 0 26 24 32 -0.437114967126505
+10 0 0 0 0 28 24 32 -0.367141877721348
+10 0 0 0 0 30 24 32 -0.234954538137424
+10 0 0 0 0 32 24 32 -0.0617960598986781
+10 0 0 0 0 34 24 32 0.121999929781576
+10 0 0 0 0 36 24 32 0.284668741770483
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0.441507949755574
+11 0 1 0 0 10 24 32 0.439022459161788
+11 0 1 0 0 11 24 32 0.411604017958423
+11 0 1 0 0 12 24 32 0.371012620781785
+11 0 1 0 0 13 24 32 0.316769233292228
+11 0 1 0 0 14 24 32 0.246160050947436
+11 0 1 0 0 15 24 32 0.166702973242801
+11 0 1 0 0 16 24 32 0.0788831235712899
+11 0 1 0 0 17 24 32 -0.0119348167579367
+11 0 1 0 0 18 24 32 -0.102402834773147
+11 0 1 0 0 19 24 32 -0.188345296614589
+11 0 1 0 0 20 24 32 -0.26600225795956
+11 0 1 0 0 21 24 32 -0.332078347314363
+11 0 1 0 0 22 24 32 -0.383403971474112
+11 0 1 0 0 23 24 32 -0.418553675621462
+11 0 1 0 0 24 24 32 -0.43536566363348
+11 0 1 0 0 25 24 32 -0.434691022888321
+11 0 1 0 0 26 24 32 -0.42045431587376
+11 0 1 0 0 27 24 32 -0.380479365877328
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 0.442576014719208
+12 0 1 0 0 10 24 32 0.424824373493099
+12 0 1 0 0 11 24 32 0.382269760325642
+12 0 1 0 0 12 24 32 0.329211022464841
+12 0 1 0 0 13 24 32 0.263635230516985
+12 0 1 0 0 14 24 32 0.184116735159756
+12 0 1 0 0 15 24 32 0.0987922789556663
+12 0 1 0 0 16 24 32 0.00772985229823211
+12 0 1 0 0 17 24 32 -0.0829769332431206
+12 0 1 0 0 18 24 32 -0.170348861978894
+12 0 1 0 0 19 24 32 -0.250181637234851
+12 0 1 0 0 20 24 32 -0.319010250383859
+12 0 1 0 0 21 24 32 -0.374003690058464
+12 0 1 0 0 22 24 32 -0.412411300033845
+12 0 1 0 0 23 24 32 -0.433610992882001
+12 0 1 0 0 24 24 32 -0.435941987996386
+12 0 1 0 0 25 24 32 -0.420733987916443
+12 0 1 0 0 26 24 32 -0.392316738267276
+12 0 1 0 0 27 24 32 -0.338809519776045
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -0.103466134186046
+12 0 0 0 0 2 24 32 0.0818160166257117
+12 0 0 0 0 4 24 32 0.252779621216233
+12 0 0 0 0 6 24 32 0.379970244898187
+12 0 0 0 0 8 24 32 0.440790029744001
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+12 0 0 0 0 12 24 32 0.329211022464841
+12 0 0 0 0 14 24 32 0.184116735159756
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+12 0 0 0 0 18 24 32 -0.170348861978894
+12 0 0 0 0 20 24 32 -0.319010250383859
+12 0 0 0 0 22 24 32 -0.412411300033845
+12 0 0 0 0 24 24 32 -0.435941987996386
+12 0 0 0 0 26 24 32 -0.392316738267276
+12 0 0 0 0 28 24 32 -0.270010446022178
+12 0 0 0 0 30 24 32 -0.103466134186046
+12 0 0 0 0 32 24 32 0.0818160166257117
+12 0 0 0 0 34 24 32 0.252779621216233
+12 0 0 0 0 36 24 32 0.379970244898187
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vy.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vy.yl
new file mode 100644
index 000000000..8aabb04a9
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vy.yl
@@ -0,0 +1,622 @@
+# HYDROTOY::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -1.99843460817814e-15
+0 0 1 0 0 18 14 32 0.0618046598853572
+0 0 1 0 0 18 15 32 0.122351155125372
+0 0 1 0 0 18 16 32 0.180406933678629
+0 0 1 0 0 18 17 32 0.234790147312825
+0 0 1 0 0 18 18 32 0.284393710626606
+0 0 1 0 0 18 19 32 0.328207838115765
+0 0 1 0 0 18 20 32 0.365340600494136
+0 0 1 0 0 18 21 32 0.395036081801737
+0 0 1 0 0 18 22 32 0.416689767673843
+0 0 1 0 0 18 23 32 0.429860851510172
+0 0 1 0 0 18 24 32 0.434281208026084
+0 0 1 0 0 18 25 32 0.429860851510172
+0 0 1 0 0 18 26 32 0.416689767673843
+0 0 1 0 0 18 27 32 0.395036081801737
+0 0 1 0 0 18 28 32 0.365340600494136
+0 0 1 0 0 18 29 32 0.328207838115765
+0 0 1 0 0 18 30 32 0.284393710626605
+0 0 1 0 0 18 31 32 0.234790147312825
+0 0 1 0 0 18 32 32 0.180406933678629
+0 0 1 0 0 18 33 32 0.122351155125372
+0 0 1 0 0 18 34 32 0.0618046598853571
+0 0 1 0 0 18 35 32 -2.09486440744066e-15
+0 0 1 0 0 18 36 32 -0.0618046598853614
+0 0 1 0 0 18 37 32 -0.122351155125376
+0 0 1 0 0 18 38 32 -0.180406933678633
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -0.416689767673842
+0 0 0 0 0 18 2 32 -0.434281208026084
+0 0 0 0 0 18 4 32 -0.416689767673844
+0 0 0 0 0 18 6 32 -0.365340600494138
+0 0 0 0 0 18 8 32 -0.284393710626609
+0 0 0 0 0 18 10 32 -0.180406933678633
+0 0 0 0 0 18 12 32 -0.0618046598853613
+0 0 0 0 0 18 14 32 0.0618046598853572
+0 0 0 0 0 18 16 32 0.180406933678629
+0 0 0 0 0 18 18 32 0.284393710626606
+0 0 0 0 0 18 20 32 0.365340600494136
+0 0 0 0 0 18 22 32 0.416689767673843
+0 0 0 0 0 18 24 32 0.434281208026084
+0 0 0 0 0 18 26 32 0.416689767673843
+0 0 0 0 0 18 28 32 0.365340600494136
+0 0 0 0 0 18 30 32 0.284393710626605
+0 0 0 0 0 18 32 32 0.180406933678629
+0 0 0 0 0 18 34 32 0.0618046598853571
+0 0 0 0 0 18 36 32 -0.0618046598853614
+0 0 0 0 0 18 38 32 -0.180406933678633
+0 0 0 0 0 18 40 32 -0.284393710626609
+0 0 0 0 0 18 42 32 -0.365340600494138
+0 0 0 0 0 18 44 32 -0.416689767673844
+0 0 0 0 0 18 46 32 -0.434281208026084
+0 0 0 0 0 18 48 32 -0.416689767673842
+0 0 0 0 0 18 50 32 -0.365340600494133
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0.0703439898524511
+1 0 1 0 0 18 14 32 0.130653574550449
+1 0 1 0 0 18 15 32 0.189567498607748
+1 0 1 0 0 18 16 32 0.24271998099118
+1 0 1 0 0 18 17 32 0.291509860138235
+1 0 1 0 0 18 18 32 0.334365439177894
+1 0 1 0 0 18 19 32 0.370414302106194
+1 0 1 0 0 18 20 32 0.39892259803025
+1 0 1 0 0 18 21 32 0.419309980256186
+1 0 1 0 0 18 22 32 0.431161420474237
+1 0 1 0 0 18 23 32 0.434235657538295
+1 0 1 0 0 18 24 32 0.428470108847102
+1 0 1 0 0 18 25 32 0.413982144345543
+1 0 1 0 0 18 26 32 0.39106669721103
+1 0 1 0 0 18 27 32 0.360190259864528
+1 0 1 0 0 18 28 32 0.32198138753012
+1 0 1 0 0 18 29 32 0.277217902663245
+1 0 1 0 0 18 30 32 0.226811060728563
+1 0 1 0 0 18 31 32 0.171786999666535
+1 0 1 0 0 18 32 32 0.113265850684095
+1 0 1 0 0 18 33 32 0.0524389356134676
+1 0 1 0 0 18 34 32 -0.00945548496484734
+1 0 1 0 0 18 35 32 -0.0711574191366449
+1 0 1 0 0 18 36 32 -0.13061642591382
+1 0 1 0 0 18 37 32 -0.188263370629632
+1 0 1 0 0 18 38 32 -0.242098398209849
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0.14084446143139
+2 0 1 0 0 18 14 32 0.198027091420972
+2 0 1 0 0 18 15 32 0.252179375696328
+2 0 1 0 0 18 16 32 0.298437297091646
+2 0 1 0 0 18 17 32 0.340409197119966
+2 0 1 0 0 18 18 32 0.375342390722267
+2 0 1 0 0 18 19 32 0.402652773010971
+2 0 1 0 0 18 20 32 0.421766305995884
+2 0 1 0 0 18 21 32 0.43229389326431
+2 0 1 0 0 18 22 32 0.434021223498518
+2 0 1 0 0 18 23 32 0.42691313323615
+2 0 1 0 0 18 24 32 0.411114322696907
+2 0 1 0 0 18 25 32 0.386946410103362
+2 0 1 0 0 18 26 32 0.354901384461413
+2 0 1 0 0 18 27 32 0.315631590082908
+2 0 1 0 0 18 28 32 0.269936446736659
+2 0 1 0 0 18 29 32 0.218746175767282
+2 0 1 0 0 18 30 32 0.163102863471163
+2 0 1 0 0 18 31 32 0.104139247224589
+2 0 1 0 0 18 32 32 0.0430556562173124
+2 0 1 0 0 18 33 32 -0.0189044237882895
+2 0 1 0 0 18 34 32 -0.080454840255729
+2 0 1 0 0 18 35 32 -0.140320055798339
+2 0 1 0 0 18 36 32 -0.195484673423327
+2 0 1 0 0 18 37 32 -0.251117745439173
+2 0 1 0 0 18 38 32 -0.29917337139087
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 -0.434734210686685
+2 0 0 0 0 18 2 32 -0.411725364080886
+2 0 0 0 0 18 4 32 -0.355360977102279
+2 0 0 0 0 18 6 32 -0.270207357171949
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+2 0 0 0 0 18 12 32 0.0808378342166104
+2 0 0 0 0 18 14 32 0.198027091420972
+2 0 0 0 0 18 16 32 0.298437297091646
+2 0 0 0 0 18 18 32 0.375342390722267
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+2 0 0 0 0 18 22 32 0.434021223498518
+2 0 0 0 0 18 24 32 0.411114322696907
+2 0 0 0 0 18 26 32 0.354901384461413
+2 0 0 0 0 18 28 32 0.269936446736659
+2 0 0 0 0 18 30 32 0.163102863471163
+2 0 0 0 0 18 32 32 0.0430556562173124
+2 0 0 0 0 18 34 32 -0.080454840255729
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+2 0 0 0 0 18 40 32 -0.376082404063224
+2 0 0 0 0 18 42 32 -0.422523477006553
+2 0 0 0 0 18 44 32 -0.434734210686685
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+2 0 0 0 0 18 48 32 -0.355360977102279
+2 0 0 0 0 18 50 32 -0.270207357171949
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0.20591681313808
+3 0 1 0 0 18 14 32 0.258465400073283
+3 0 1 0 0 18 15 32 0.308390677347601
+3 0 1 0 0 18 16 32 0.346120033028418
+3 0 1 0 0 18 17 32 0.380244884370124
+3 0 1 0 0 18 18 32 0.406218698135714
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+3 0 1 0 0 18 25 32 0.349477706513837
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+3 0 1 0 0 18 30 32 0.0949789081787405
+3 0 1 0 0 18 31 32 0.0336627392717087
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+3 0 1 0 0 18 37 32 -0.303974128314889
+3 0 1 0 0 18 38 32 -0.346696931649922
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0.267330569551363
+4 0 1 0 0 18 14 32 0.313788437315263
+4 0 1 0 0 18 15 32 0.356530099036129
+4 0 1 0 0 18 16 32 0.384450359519543
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+4 0 1 0 0 18 29 32 0.0857921083834285
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+4 0 1 0 0 18 33 32 -0.158209696473649
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+4 0 1 0 0 18 37 32 -0.351951932533074
+4 0 1 0 0 18 38 32 -0.386314052844263
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 -0.406533838434933
+4 0 0 0 0 18 2 32 -0.345214503330214
+4 0 0 0 0 18 4 32 -0.255927942235384
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+4 0 0 0 0 18 48 32 -0.255927942235384
+4 0 0 0 0 18 50 32 -0.145907621322717
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0.320085964366158
+5 0 1 0 0 18 14 32 0.3591399188469
+5 0 1 0 0 18 15 32 0.395082623492032
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+5 0 1 0 0 18 31 32 -0.108180698369748
+5 0 1 0 0 18 32 32 -0.166989135567871
+5 0 1 0 0 18 33 32 -0.222406844227
+5 0 1 0 0 18 34 32 -0.272452685874746
+5 0 1 0 0 18 35 32 -0.317894711386706
+5 0 1 0 0 18 36 32 -0.35189859955527
+5 0 1 0 0 18 37 32 -0.387260637288678
+5 0 1 0 0 18 38 32 -0.414744227142273
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0.365696797080043
+6 0 1 0 0 18 14 32 0.396138606101531
+6 0 1 0 0 18 15 32 0.422943090894316
+6 0 1 0 0 18 16 32 0.429432240268094
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+6 0 1 0 0 18 18 32 0.431353636551423
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+6 0 1 0 0 18 20 32 0.398059506565544
+6 0 1 0 0 18 21 32 0.369004613430039
+6 0 1 0 0 18 22 32 0.33242782995934
+6 0 1 0 0 18 23 32 0.289086415796168
+6 0 1 0 0 18 24 32 0.239859924880352
+6 0 1 0 0 18 25 32 0.185750595367194
+6 0 1 0 0 18 26 32 0.127859919100818
+6 0 1 0 0 18 27 32 0.0673663839761382
+6 0 1 0 0 18 28 32 0.00550148513731612
+6 0 1 0 0 18 29 32 -0.0564753444893559
+6 0 1 0 0 18 30 32 -0.11729960525142
+6 0 1 0 0 18 31 32 -0.175734748071065
+6 0 1 0 0 18 32 32 -0.230478944998014
+6 0 1 0 0 18 33 32 -0.280606048084516
+6 0 1 0 0 18 34 32 -0.323588759402206
+6 0 1 0 0 18 35 32 -0.361705611787978
+6 0 1 0 0 18 36 32 -0.387115021875076
+6 0 1 0 0 18 37 32 -0.415651870714699
+6 0 1 0 0 18 38 32 -0.433080957154493
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 -0.334930965820826
+6 0 0 0 0 18 2 32 -0.241629337810503
+6 0 0 0 0 18 4 32 -0.128749855045699
+6 0 0 0 0 18 6 32 -0.00543982472995432
+6 0 0 0 0 18 8 32 0.118310189010964
+6 0 0 0 0 18 10 32 0.232486440235383
+6 0 0 0 0 18 12 32 0.32767938370178
+6 0 0 0 0 18 14 32 0.396138606101531
+6 0 0 0 0 18 16 32 0.429432240268094
+6 0 0 0 0 18 18 32 0.431353636551423
+6 0 0 0 0 18 20 32 0.398059506565544
+6 0 0 0 0 18 22 32 0.33242782995934
+6 0 0 0 0 18 24 32 0.239859924880352
+6 0 0 0 0 18 26 32 0.127859919100818
+6 0 0 0 0 18 28 32 0.00550148513731612
+6 0 0 0 0 18 30 32 -0.11729960525142
+6 0 0 0 0 18 32 32 -0.230478944998014
+6 0 0 0 0 18 34 32 -0.323588759402206
+6 0 0 0 0 18 36 32 -0.387115021875076
+6 0 0 0 0 18 38 32 -0.433080957154493
+6 0 0 0 0 18 40 32 -0.434335400381798
+6 0 0 0 0 18 42 32 -0.401087245060013
+6 0 0 0 0 18 44 32 -0.334930965820826
+6 0 0 0 0 18 46 32 -0.241629337810503
+6 0 0 0 0 18 48 32 -0.128749855045699
+6 0 0 0 0 18 50 32 -0.00543982472995432
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0.400315364568352
+7 0 1 0 0 18 14 32 0.421256483041386
+7 0 1 0 0 18 15 32 0.439168587810135
+7 0 1 0 0 18 16 32 0.434911570047263
+7 0 1 0 0 18 17 32 0.432769362216331
+7 0 1 0 0 18 18 32 0.416465670865799
+7 0 1 0 0 18 19 32 0.394662999027859
+7 0 1 0 0 18 20 32 0.364143406660115
+7 0 1 0 0 18 21 32 0.326502701653214
+7 0 1 0 0 18 22 32 0.28218079964104
+7 0 1 0 0 18 23 32 0.232125605621825
+7 0 1 0 0 18 24 32 0.177344284653389
+7 0 1 0 0 18 25 32 0.118952908674969
+7 0 1 0 0 18 26 32 0.0581399897113741
+7 0 1 0 0 18 27 32 -0.00385648692967544
+7 0 1 0 0 18 28 32 -0.0657742725394403
+7 0 1 0 0 18 29 32 -0.126352883952262
+7 0 1 0 0 18 30 32 -0.184347968678495
+7 0 1 0 0 18 31 32 -0.238592628090399
+7 0 1 0 0 18 32 32 -0.287720193736453
+7 0 1 0 0 18 33 32 -0.331223980383475
+7 0 1 0 0 18 34 32 -0.365862486984674
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+7 0 1 0 0 18 36 32 -0.412277852514752
+7 0 1 0 0 18 37 32 -0.430385863933768
+7 0 1 0 0 18 38 32 -0.439607317966008
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0.425090445925606
+8 0 1 0 0 18 14 32 0.435669555012388
+8 0 1 0 0 18 15 32 0.443336228129676
+8 0 1 0 0 18 16 32 0.428737064647321
+8 0 1 0 0 18 17 32 0.41745854278512
+8 0 1 0 0 18 18 32 0.390354085525833
+8 0 1 0 0 18 19 32 0.359685413071112
+8 0 1 0 0 18 20 32 0.320402310311247
+8 0 1 0 0 18 21 32 0.275204898576193
+8 0 1 0 0 18 22 32 0.224310503006888
+8 0 1 0 0 18 23 32 0.168884709724328
+8 0 1 0 0 18 24 32 0.110017789592695
+8 0 1 0 0 18 25 32 0.0489121003650992
+8 0 1 0 0 18 26 32 -0.0131893344673971
+8 0 1 0 0 18 27 32 -0.0750222434806821
+8 0 1 0 0 18 28 32 -0.135326986584763
+8 0 1 0 0 18 29 32 -0.192876623763123
+8 0 1 0 0 18 30 32 -0.246466351417234
+8 0 1 0 0 18 31 32 -0.295057601082144
+8 0 1 0 0 18 32 32 -0.337139986913799
+8 0 1 0 0 18 33 32 -0.372884279674043
+8 0 1 0 0 18 34 32 -0.398233189311631
+8 0 1 0 0 18 35 32 -0.419203432106721
+8 0 1 0 0 18 36 32 -0.42673184640781
+8 0 1 0 0 18 37 32 -0.436429072866083
+8 0 1 0 0 18 38 32 -0.434895617881788
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -0.227324031986691
+8 0 0 0 0 18 2 32 -0.111767751151321
+8 0 0 0 0 18 4 32 0.0128683951627269
+8 0 0 0 0 18 6 32 0.136463206023583
+8 0 0 0 0 18 8 32 0.24899416852852
+8 0 0 0 0 18 10 32 0.341366184632937
+8 0 0 0 0 18 12 32 0.405670879799765
+8 0 0 0 0 18 14 32 0.435669555012388
+8 0 0 0 0 18 16 32 0.428737064647321
+8 0 0 0 0 18 18 32 0.390354085525833
+8 0 0 0 0 18 20 32 0.320402310311247
+8 0 0 0 0 18 22 32 0.224310503006888
+8 0 0 0 0 18 24 32 0.110017789592695
+8 0 0 0 0 18 26 32 -0.0131893344673971
+8 0 0 0 0 18 28 32 -0.135326986584763
+8 0 0 0 0 18 30 32 -0.246466351417234
+8 0 0 0 0 18 32 32 -0.337139986913799
+8 0 0 0 0 18 34 32 -0.398233189311631
+8 0 0 0 0 18 36 32 -0.42673184640781
+8 0 0 0 0 18 38 32 -0.434895617881788
+8 0 0 0 0 18 40 32 -0.394143849496128
+8 0 0 0 0 18 42 32 -0.324470937610271
+8 0 0 0 0 18 44 32 -0.227324031986691
+8 0 0 0 0 18 46 32 -0.111767751151321
+8 0 0 0 0 18 48 32 0.0128683951627269
+8 0 0 0 0 18 50 32 0.136463206023583
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0.437718669969378
+9 0 1 0 0 18 14 32 0.437665882921828
+9 0 1 0 0 18 15 32 0.435209660049868
+9 0 1 0 0 18 16 32 0.411070497006435
+9 0 1 0 0 18 17 32 0.391001771284541
+9 0 1 0 0 18 18 32 0.35373084040341
+9 0 1 0 0 18 19 32 0.3151679669379
+9 0 1 0 0 18 20 32 0.268006171502471
+9 0 1 0 0 18 21 32 0.21650082104702
+9 0 1 0 0 18 22 32 0.160368728057858
+9 0 1 0 0 18 23 32 0.101062021407294
+9 0 1 0 0 18 24 32 0.0396875154614991
+9 0 1 0 0 18 25 32 -0.0224915034671001
+9 0 1 0 0 18 26 32 -0.0842128421580136
+9 0 1 0 0 18 27 32 -0.144219734904869
+9 0 1 0 0 18 28 32 -0.201287307160511
+9 0 1 0 0 18 29 32 -0.254257964059169
+9 0 1 0 0 18 30 32 -0.301971439459077
+9 0 1 0 0 18 31 32 -0.343601428148075
+9 0 1 0 0 18 32 32 -0.377385685243571
+9 0 1 0 0 18 33 32 -0.404462534967002
+9 0 1 0 0 18 34 32 -0.419934247132362
+9 0 1 0 0 18 35 32 -0.431501950661958
+9 0 1 0 0 18 36 32 -0.430157548191606
+9 0 1 0 0 18 37 32 -0.429281157852681
+9 0 1 0 0 18 38 32 -0.418899016623652
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 0.438930604158999
+10 0 1 0 0 18 14 32 0.427816113133942
+10 0 1 0 0 18 15 32 0.415102629162932
+10 0 1 0 0 18 16 32 0.382333195066643
+10 0 1 0 0 18 17 32 0.353980122581242
+10 0 1 0 0 18 18 32 0.307591593319535
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+10 0 1 0 0 18 20 32 0.20835914460866
+10 0 1 0 0 18 21 32 0.151985185286709
+10 0 1 0 0 18 22 32 0.0920700241095905
+10 0 1 0 0 18 23 32 0.0304805129810755
+10 0 1 0 0 18 24 32 -0.0317586497379348
+10 0 1 0 0 18 25 32 -0.0933406546569724
+10 0 1 0 0 18 26 32 -0.153023211471979
+10 0 1 0 0 18 27 32 -0.209590304963046
+10 0 1 0 0 18 28 32 -0.261880617935109
+10 0 1 0 0 18 29 32 -0.308844899902218
+10 0 1 0 0 18 30 32 -0.34935224351093
+10 0 1 0 0 18 31 32 -0.382906723896929
+10 0 1 0 0 18 32 32 -0.407371128338891
+10 0 1 0 0 18 33 32 -0.425121728068288
+10 0 1 0 0 18 34 32 -0.430523399196168
+10 0 1 0 0 18 35 32 -0.43240369760093
+10 0 1 0 0 18 36 32 -0.42238642294478
+10 0 1 0 0 18 37 32 -0.412462646204866
+10 0 1 0 0 18 38 32 -0.39163312761766
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -0.0948908760352797
+10 0 0 0 0 18 2 32 0.0307809841557967
+10 0 0 0 0 18 4 32 0.154068747077625
+10 0 0 0 0 18 6 32 0.26487827266502
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+10 0 0 0 0 18 16 32 0.382333195066643
+10 0 0 0 0 18 18 32 0.307591593319535
+10 0 0 0 0 18 20 32 0.20835914460866
+10 0 0 0 0 18 22 32 0.0920700241095905
+10 0 0 0 0 18 24 32 -0.0317586497379348
+10 0 0 0 0 18 26 32 -0.153023211471979
+10 0 0 0 0 18 28 32 -0.261880617935109
+10 0 0 0 0 18 30 32 -0.34935224351093
+10 0 0 0 0 18 32 32 -0.407371128338891
+10 0 0 0 0 18 34 32 -0.430523399196168
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+10 0 0 0 0 18 38 32 -0.39163312761766
+10 0 0 0 0 18 40 32 -0.311461302709628
+10 0 0 0 0 18 42 32 -0.213069957022277
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+10 0 0 0 0 18 46 32 0.0307809841557967
+10 0 0 0 0 18 48 32 0.154068747077625
+10 0 0 0 0 18 50 32 0.26487827266502
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0.428158335932262
+11 0 1 0 0 18 14 32 0.406446263197578
+11 0 1 0 0 18 15 32 0.383498275440746
+11 0 1 0 0 18 16 32 0.343239421780191
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+11 0 1 0 0 18 29 32 -0.355166099652251
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+11 0 1 0 0 18 37 32 -0.384024546738167
+11 0 1 0 0 18 38 32 -0.354721735543576
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0.405693112753016
+12 0 1 0 0 18 14 32 0.373447660596456
+12 0 1 0 0 18 15 32 0.34138362116385
+12 0 1 0 0 18 16 32 0.294792053218342
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+12 0 1 0 0 18 37 32 -0.346088845903062
+12 0 1 0 0 18 38 32 -0.307623578841477
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0.0485728822575301
+12 0 0 0 0 18 2 32 0.171055008248724
+12 0 0 0 0 18 4 32 0.280000570751382
+12 0 0 0 0 18 6 32 0.366254867833668
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+12 0 0 0 0 18 42 32 -0.0786186006879977
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+12 0 0 0 0 18 46 32 0.171055008248724
+12 0 0 0 0 18 48 32 0.280000570751382
+12 0 0 0 0 18 50 32 0.366254867833668
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vy.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vy.zl
new file mode 100644
index 000000000..1d289e733
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vy.zl
@@ -0,0 +1,782 @@
+# HYDROTOY::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -0.434281208026084
+0 0 1 0 0 18 24 18 -0.424791121674492
+0 0 1 0 0 18 24 19 -0.39673562493177
+0 0 1 0 0 18 24 20 -0.351340877630783
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+0 0 1 0 0 18 24 23 -0.134200273617741
+0 0 1 0 0 18 24 24 -0.0453947473009859
+0 0 1 0 0 18 24 25 0.0453947473009874
+0 0 1 0 0 18 24 26 0.134200273617742
+0 0 1 0 0 18 24 27 0.217140604013042
+0 0 1 0 0 18 24 28 0.290590848056751
+0 0 1 0 0 18 24 29 0.351340877630784
+0 0 1 0 0 18 24 30 0.39673562493177
+0 0 1 0 0 18 24 31 0.424791121674493
+0 0 1 0 0 18 24 32 0.434281208026084
+0 0 1 0 0 18 24 33 0.424791121674493
+0 0 1 0 0 18 24 34 0.39673562493177
+0 0 1 0 0 18 24 35 0.351340877630784
+0 0 1 0 0 18 24 36 0.290590848056751
+0 0 1 0 0 18 24 37 0.217140604013042
+0 0 1 0 0 18 24 38 0.134200273617742
+0 0 1 0 0 18 24 39 0.0453947473009874
+0 0 1 0 0 18 24 40 -0.045394747300986
+0 0 1 0 0 18 24 41 -0.134200273617741
+0 0 1 0 0 18 24 42 -0.217140604013041
+0 0 1 0 0 18 24 43 -0.29059084805675
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+0 0 1 0 0 18 24 45 -0.39673562493177
+0 0 1 0 0 18 24 46 -0.424791121674492
+0 0 1 0 0 18 24 47 -0.434281208026084
+0 0 1 0 0 18 24 48 -0.424791121674493
+0 0 1 0 0 18 24 49 -0.396735624931771
+0 0 1 0 0 18 24 50 -0.351340877630785
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 0.396735624931772
+0 0 0 0 0 18 24 2 0.434281208026084
+0 0 0 0 0 18 24 4 0.396735624931769
+0 0 0 0 0 18 24 6 0.290590848056749
+0 0 0 0 0 18 24 8 0.134200273617739
+0 0 0 0 0 18 24 10 -0.0453947473009889
+0 0 0 0 0 18 24 12 -0.217140604013044
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+0 0 0 0 0 18 24 26 0.134200273617742
+0 0 0 0 0 18 24 28 0.290590848056751
+0 0 0 0 0 18 24 30 0.39673562493177
+0 0 0 0 0 18 24 32 0.434281208026084
+0 0 0 0 0 18 24 34 0.39673562493177
+0 0 0 0 0 18 24 36 0.290590848056751
+0 0 0 0 0 18 24 38 0.134200273617742
+0 0 0 0 0 18 24 40 -0.045394747300986
+0 0 0 0 0 18 24 42 -0.217140604013041
+0 0 0 0 0 18 24 44 -0.351340877630783
+0 0 0 0 0 18 24 46 -0.424791121674492
+0 0 0 0 0 18 24 48 -0.424791121674493
+0 0 0 0 0 18 24 50 -0.351340877630785
+0 0 0 0 0 18 24 52 -0.217140604013044
+0 0 0 0 0 18 24 54 -0.0453947473009889
+0 0 0 0 0 18 24 56 0.134200273617739
+0 0 0 0 0 18 24 58 0.290590848056749
+0 0 0 0 0 18 24 60 0.396735624931769
+0 0 0 0 0 18 24 62 0.434281208026084
+0 0 0 0 0 18 24 64 0.396735624931772
+0 0 0 0 0 18 24 66 0.290590848056754
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -0.428426257976849
+1 0 1 0 0 18 24 18 -0.40473471039475
+1 0 1 0 0 18 24 19 -0.362484591883325
+1 0 1 0 0 18 24 20 -0.304814318079276
+1 0 1 0 0 18 24 21 -0.233822195913784
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+1 0 1 0 0 18 24 23 -0.0647298180627875
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+1 0 1 0 0 18 24 49 -0.36279129967605
+1 0 1 0 0 18 24 50 -0.305497195362384
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -0.411432597097011
+2 0 1 0 0 18 24 18 -0.373440430911314
+2 0 1 0 0 18 24 19 -0.318410245310168
+2 0 1 0 0 18 24 20 -0.250069768711064
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+2 0 1 0 0 18 24 49 -0.318607644290521
+2 0 1 0 0 18 24 50 -0.250293695555629
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 0.433425313359762
+2 0 0 0 0 18 24 2 0.411725364080886
+2 0 0 0 0 18 24 4 0.318834358944915
+2 0 0 0 0 18 24 6 0.17081399662815
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+2 0 0 0 0 18 24 60 0.433425313359762
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+2 0 0 0 0 18 24 64 0.318834358944915
+2 0 0 0 0 18 24 66 0.17081399662815
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -0.38370528771977
+3 0 1 0 0 18 24 18 -0.332765198746708
+3 0 1 0 0 18 24 19 -0.265690626503576
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+3 0 1 0 0 18 24 49 -0.266625098298104
+3 0 1 0 0 18 24 50 -0.189613039192801
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -0.34497838292978
+4 0 1 0 0 18 24 18 -0.282090042060091
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+4 0 1 0 0 18 24 50 -0.122161005946473
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 0.424083834070079
+4 0 0 0 0 18 24 2 0.345214503330213
+4 0 0 0 0 18 24 4 0.206654448789242
+4 0 0 0 0 18 24 6 0.0323619626558851
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+4 0 0 0 0 18 24 64 0.206654448789242
+4 0 0 0 0 18 24 66 0.0323619626558851
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -0.297835430850524
+5 0 1 0 0 18 24 18 -0.224986563670818
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+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -0.241434864753629
+6 0 1 0 0 18 24 18 -0.16026422930577
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+6 0 1 0 0 18 24 50 0.0197276740539611
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 0.369572773464889
+6 0 0 0 0 18 24 2 0.2416293378105
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+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -0.179799555176589
+7 0 1 0 0 18 24 18 -0.0927358208148487
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+7 0 1 0 0 18 24 50 0.0902881006988386
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -0.111642209575197
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+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 0.275507386750357
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+8 0 0 0 0 18 24 34 -0.0709338454013397
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+8 0 0 0 0 18 24 38 -0.366874363441274
+8 0 0 0 0 18 24 40 -0.430692470070729
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+8 0 0 0 0 18 24 44 -0.336799556304739
+8 0 0 0 0 18 24 46 -0.195692579334925
+8 0 0 0 0 18 24 48 -0.0218849999994975
+8 0 0 0 0 18 24 50 0.160592585106823
+8 0 0 0 0 18 24 52 0.313291665462407
+8 0 0 0 0 18 24 54 0.41231286905587
+8 0 0 0 0 18 24 56 0.439996905933629
+8 0 0 0 0 18 24 58 0.39160852822286
+8 0 0 0 0 18 24 60 0.275507386750357
+8 0 0 0 0 18 24 62 0.111768531886456
+8 0 0 0 0 18 24 64 -0.0712961175258543
+8 0 0 0 0 18 24 66 -0.242033020513044
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -0.0420118327899738
+9 0 1 0 0 18 24 18 0.0500107476418282
+9 0 1 0 0 18 24 19 0.14221596998044
+9 0 1 0 0 18 24 20 0.221465917233935
+9 0 1 0 0 18 24 21 0.296580424993266
+9 0 1 0 0 18 24 22 0.355772003962023
+9 0 1 0 0 18 24 23 0.400634068357481
+9 0 1 0 0 18 24 24 0.427522930656009
+9 0 1 0 0 18 24 25 0.43584933701892
+9 0 1 0 0 18 24 26 0.425092851458639
+9 0 1 0 0 18 24 27 0.395763772801896
+9 0 1 0 0 18 24 28 0.349136607999056
+9 0 1 0 0 18 24 29 0.287250706918956
+9 0 1 0 0 18 24 30 0.212810505678842
+9 0 1 0 0 18 24 31 0.129069483854513
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+9 0 1 0 0 18 24 33 -0.0514290242958469
+9 0 1 0 0 18 24 34 -0.140297806875557
+9 0 1 0 0 18 24 35 -0.22303498692197
+9 0 1 0 0 18 24 36 -0.296024363847168
+9 0 1 0 0 18 24 37 -0.356076174306751
+9 0 1 0 0 18 24 38 -0.400565620694746
+9 0 1 0 0 18 24 39 -0.427548581263153
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+9 0 1 0 0 18 24 41 -0.425095250242392
+9 0 1 0 0 18 24 42 -0.395768615677229
+9 0 1 0 0 18 24 43 -0.349169856508878
+9 0 1 0 0 18 24 44 -0.287337683514729
+9 0 1 0 0 18 24 45 -0.213190394964483
+9 0 1 0 0 18 24 46 -0.129761549092544
+9 0 1 0 0 18 24 47 -0.0415589470062024
+9 0 1 0 0 18 24 48 0.0491632409965276
+9 0 1 0 0 18 24 49 0.139532869770345
+9 0 1 0 0 18 24 50 0.225114625863512
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 0.0306995628126665
+10 0 1 0 0 18 24 18 0.121534739105793
+10 0 1 0 0 18 24 19 0.208197951876162
+10 0 1 0 0 18 24 20 0.279394111704824
+10 0 1 0 0 18 24 21 0.345321368122217
+10 0 1 0 0 18 24 22 0.392097948857059
+10 0 1 0 0 18 24 23 0.423648504185538
+10 0 1 0 0 18 24 24 0.435875085718016
+10 0 1 0 0 18 24 25 0.429301935108364
+10 0 1 0 0 18 24 26 0.403887215901777
+10 0 1 0 0 18 24 27 0.360837407369965
+10 0 1 0 0 18 24 28 0.302013064100949
+10 0 1 0 0 18 24 29 0.229990082330567
+10 0 1 0 0 18 24 30 0.147915188698889
+10 0 1 0 0 18 24 31 0.0593757518464853
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+10 0 1 0 0 18 24 33 -0.121505178239672
+10 0 1 0 0 18 24 34 -0.205941130274904
+10 0 1 0 0 18 24 35 -0.281376759109889
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+10 0 1 0 0 18 24 37 -0.3925957437071
+10 0 1 0 0 18 24 38 -0.423518226609332
+10 0 1 0 0 18 24 39 -0.435931470229859
+10 0 1 0 0 18 24 40 -0.429292271113105
+10 0 1 0 0 18 24 41 -0.403894537076408
+10 0 1 0 0 18 24 42 -0.360849703695886
+10 0 1 0 0 18 24 43 -0.302084972208883
+10 0 1 0 0 18 24 44 -0.230154190344366
+10 0 1 0 0 18 24 45 -0.148528099693551
+10 0 1 0 0 18 24 46 -0.0603693742608596
+10 0 1 0 0 18 24 47 0.0294308509333334
+10 0 1 0 0 18 24 48 0.11897295800233
+10 0 1 0 0 18 24 49 0.206776932684423
+10 0 1 0 0 18 24 50 0.28569639010704
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 0.151678426057518
+10 0 0 0 0 18 24 2 -0.0307769093537872
+10 0 0 0 0 18 24 4 -0.207910640418311
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+10 0 0 0 0 18 24 10 -0.436402926231978
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+10 0 0 0 0 18 24 18 0.121534739105793
+10 0 0 0 0 18 24 20 0.279394111704824
+10 0 0 0 0 18 24 22 0.392097948857059
+10 0 0 0 0 18 24 24 0.435875085718016
+10 0 0 0 0 18 24 26 0.403887215901777
+10 0 0 0 0 18 24 28 0.302013064100949
+10 0 0 0 0 18 24 30 0.147915188698889
+10 0 0 0 0 18 24 32 -0.0317586497379348
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+10 0 0 0 0 18 24 42 -0.360849703695886
+10 0 0 0 0 18 24 44 -0.230154190344366
+10 0 0 0 0 18 24 46 -0.0603693742608596
+10 0 0 0 0 18 24 48 0.11897295800233
+10 0 0 0 0 18 24 50 0.28569639010704
+10 0 0 0 0 18 24 52 0.398062369246313
+10 0 0 0 0 18 24 54 0.442872682975489
+10 0 0 0 0 18 24 56 0.410894373537642
+10 0 0 0 0 18 24 58 0.307907529421161
+10 0 0 0 0 18 24 60 0.151678426057518
+10 0 0 0 0 18 24 62 -0.0307769093537872
+10 0 0 0 0 18 24 64 -0.207910640418311
+10 0 0 0 0 18 24 66 -0.349094732150387
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 0.100944489603337
+11 0 1 0 0 18 24 18 0.188103487855299
+11 0 1 0 0 18 24 19 0.268671171153744
+11 0 1 0 0 18 24 20 0.329838034097623
+11 0 1 0 0 18 24 21 0.384884520393959
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+11 0 1 0 0 18 24 24 0.432504874748119
+11 0 1 0 0 18 24 25 0.411229558975377
+11 0 1 0 0 18 24 26 0.371818668815861
+11 0 1 0 0 18 24 27 0.316197974225357
+11 0 1 0 0 18 24 28 0.246746438904833
+11 0 1 0 0 18 24 29 0.16651332813153
+11 0 1 0 0 18 24 30 0.0790020370289667
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+11 0 1 0 0 18 24 33 -0.188368707617125
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+11 0 1 0 0 18 24 37 -0.418599838877244
+11 0 1 0 0 18 24 38 -0.435115179463815
+11 0 1 0 0 18 24 39 -0.432615472804281
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+11 0 1 0 0 18 24 41 -0.371837672276706
+11 0 1 0 0 18 24 42 -0.316225207189004
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+11 0 1 0 0 18 24 45 -0.0799136207880259
+11 0 1 0 0 18 24 46 0.0106342325966569
+11 0 1 0 0 18 24 47 0.0996778648733073
+11 0 1 0 0 18 24 48 0.185725313899081
+11 0 1 0 0 18 24 49 0.266709104174895
+11 0 1 0 0 18 24 50 0.337392016313755
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 0.170491329557764
+12 0 1 0 0 18 24 18 0.251607463542072
+12 0 1 0 0 18 24 19 0.322007962905353
+12 0 1 0 0 18 24 20 0.37146886958297
+12 0 1 0 0 18 24 21 0.414200432262054
+12 0 1 0 0 18 24 22 0.432336043099699
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+12 0 1 0 0 18 24 28 0.184819903455776
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+12 0 1 0 0 18 24 30 0.00792075877299325
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+12 0 1 0 0 18 24 39 -0.417690191016704
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+12 0 1 0 0 18 24 41 -0.329788679260115
+12 0 1 0 0 18 24 42 -0.263098473200439
+12 0 1 0 0 18 24 43 -0.185064559979213
+12 0 1 0 0 18 24 44 -0.0989683830179611
+12 0 1 0 0 18 24 45 -0.00918424672675068
+12 0 1 0 0 18 24 46 0.0813671416066964
+12 0 1 0 0 18 24 47 0.16734154911019
+12 0 1 0 0 18 24 48 0.247664114122293
+12 0 1 0 0 18 24 49 0.321740576796496
+12 0 1 0 0 18 24 50 0.38185012499154
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 0.0110331633664226
+12 0 0 0 0 18 24 2 -0.171045926354511
+12 0 0 0 0 18 24 4 -0.323549724262519
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+12 0 0 0 0 18 24 64 -0.323549724262519
+12 0 0 0 0 18 24 66 -0.420108814412136
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vz.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vz.xl
new file mode 100644
index 000000000..6921752ec
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vz.xl
@@ -0,0 +1,482 @@
+# HYDROTOY::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -0.196827067972686
+0 0 1 0 0 10 24 32 -0.0665789627081124
+0 0 1 0 0 11 24 32 0.0665789627081145
+0 0 1 0 0 12 24 32 0.196827067972688
+0 0 1 0 0 13 24 32 0.318472885885794
+0 0 1 0 0 14 24 32 0.426199910483233
+0 0 1 0 0 15 24 32 0.515299953858481
+0 0 1 0 0 16 24 32 0.581878916566594
+0 0 1 0 0 17 24 32 0.62302697845592
+0 0 1 0 0 18 24 32 0.636945771771587
+0 0 1 0 0 19 24 32 0.62302697845592
+0 0 1 0 0 20 24 32 0.581878916566594
+0 0 1 0 0 21 24 32 0.515299953858481
+0 0 1 0 0 22 24 32 0.426199910483233
+0 0 1 0 0 23 24 32 0.318472885885794
+0 0 1 0 0 24 24 32 0.196827067972688
+0 0 1 0 0 25 24 32 0.0665789627081145
+0 0 1 0 0 26 24 32 -0.0665789627081126
+0 0 1 0 0 27 24 32 -0.196827067972686
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -0.515299953858482
+0 0 0 0 0 2 24 32 -0.62302697845592
+0 0 0 0 0 4 24 32 -0.62302697845592
+0 0 0 0 0 6 24 32 -0.51529995385848
+0 0 0 0 0 8 24 32 -0.318472885885792
+0 0 0 0 0 10 24 32 -0.0665789627081124
+0 0 0 0 0 12 24 32 0.196827067972688
+0 0 0 0 0 14 24 32 0.426199910483233
+0 0 0 0 0 16 24 32 0.581878916566594
+0 0 0 0 0 18 24 32 0.636945771771587
+0 0 0 0 0 20 24 32 0.581878916566594
+0 0 0 0 0 22 24 32 0.426199910483233
+0 0 0 0 0 24 24 32 0.196827067972688
+0 0 0 0 0 26 24 32 -0.0665789627081126
+0 0 0 0 0 28 24 32 -0.318472885885792
+0 0 0 0 0 30 24 32 -0.51529995385848
+0 0 0 0 0 32 24 32 -0.62302697845592
+0 0 0 0 0 34 24 32 -0.62302697845592
+0 0 0 0 0 36 24 32 -0.515299953858482
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -0.0973195350500494
+1 0 1 0 0 10 24 32 0.0356668155049764
+1 0 1 0 0 11 24 32 0.169077922714169
+1 0 1 0 0 12 24 32 0.293071522772708
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+1 0 1 0 0 16 24 32 0.616405936459762
+1 0 1 0 0 17 24 32 0.636336536264916
+1 0 1 0 0 18 24 32 0.628456175953815
+1 0 1 0 0 19 24 32 0.593109265086217
+1 0 1 0 0 20 24 32 0.531840633280333
+1 0 1 0 0 21 24 32 0.447328013745593
+1 0 1 0 0 22 24 32 0.343265013492209
+1 0 1 0 0 23 24 32 0.22419968498093
+1 0 1 0 0 24 24 32 0.0953357544065353
+1 0 1 0 0 25 24 32 -0.0376948061071308
+1 0 1 0 0 26 24 32 -0.167163605655932
+1 0 1 0 0 27 24 32 -0.291147369612687
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0.00664574421749242
+2 0 1 0 0 10 24 32 0.139079131940516
+2 0 1 0 0 11 24 32 0.267168672263801
+2 0 1 0 0 12 24 32 0.381444723732171
+2 0 1 0 0 13 24 32 0.479205430551592
+2 0 1 0 0 14 24 32 0.556000672787044
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+2 0 1 0 0 18 24 32 0.603100627033265
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+2 0 1 0 0 21 24 32 0.367341295541732
+2 0 1 0 0 22 24 32 0.251105503737309
+2 0 1 0 0 23 24 32 0.123895196481674
+2 0 1 0 0 24 24 32 -0.00870905206088087
+2 0 1 0 0 25 24 32 -0.140871868994753
+2 0 1 0 0 26 24 32 -0.265429365246958
+2 0 1 0 0 27 24 32 -0.379908726375628
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -0.608492170320791
+2 0 0 0 0 2 24 32 -0.633457407715208
+2 0 0 0 0 4 24 32 -0.548892104535778
+2 0 0 0 0 6 24 32 -0.369418369953888
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+2 0 0 0 0 14 24 32 0.556000672787044
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+2 0 0 0 0 18 24 32 0.603100627033265
+2 0 0 0 0 20 24 32 0.467522510031876
+2 0 0 0 0 22 24 32 0.251105503737309
+2 0 0 0 0 24 24 32 -0.00870905206088087
+2 0 0 0 0 26 24 32 -0.265429365246958
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+2 0 0 0 0 34 24 32 -0.548892104535778
+2 0 0 0 0 36 24 32 -0.369418369953888
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0.108142390498424
+3 0 1 0 0 10 24 32 0.236597711331569
+3 0 1 0 0 11 24 32 0.358190960248211
+3 0 1 0 0 12 24 32 0.459530017170409
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+3 0 1 0 0 20 24 32 0.390649264887917
+3 0 1 0 0 21 24 32 0.277485699319131
+3 0 1 0 0 22 24 32 0.15219532945706
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+3 0 1 0 0 25 24 32 -0.240209113822161
+3 0 1 0 0 26 24 32 -0.354596862110213
+3 0 1 0 0 27 24 32 -0.456605982742896
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0.209684057502675
+4 0 1 0 0 10 24 32 0.330575978767116
+4 0 1 0 0 11 24 32 0.43966045342348
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+4 0 1 0 0 18 24 32 0.504938202020884
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+4 0 1 0 0 25 24 32 -0.33310147099143
+4 0 1 0 0 26 24 32 -0.436925889369356
+4 0 1 0 0 27 24 32 -0.523618193410413
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -0.638086200378305
+4 0 0 0 0 2 24 32 -0.577480248216561
+4 0 0 0 0 4 24 32 -0.417022714894814
+4 0 0 0 0 6 24 32 -0.184458165635327
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+4 0 0 0 0 24 24 32 -0.213164422324827
+4 0 0 0 0 26 24 32 -0.436925889369356
+4 0 0 0 0 28 24 32 -0.588361251663493
+4 0 0 0 0 30 24 32 -0.638086200378305
+4 0 0 0 0 32 24 32 -0.577480248216561
+4 0 0 0 0 34 24 32 -0.417022714894814
+4 0 0 0 0 36 24 32 -0.184458165635327
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0.303082309664818
+5 0 1 0 0 10 24 32 0.413389684295974
+5 0 1 0 0 11 24 32 0.509362344146697
+5 0 1 0 0 12 24 32 0.576702925630077
+5 0 1 0 0 13 24 32 0.620756348793825
+5 0 1 0 0 14 24 32 0.63694747149022
+5 0 1 0 0 15 24 32 0.625448133863364
+5 0 1 0 0 16 24 32 0.586580844285547
+5 0 1 0 0 17 24 32 0.522080276166261
+5 0 1 0 0 18 24 32 0.434761908683474
+5 0 1 0 0 19 24 32 0.328442386037718
+5 0 1 0 0 20 24 32 0.207768665381023
+5 0 1 0 0 21 24 32 0.0780160153709451
+5 0 1 0 0 22 24 32 -0.055124895137974
+5 0 1 0 0 23 24 32 -0.185824599168025
+5 0 1 0 0 24 24 32 -0.308076575103733
+5 0 1 0 0 25 24 32 -0.417093942832209
+5 0 1 0 0 26 24 32 -0.505656537173603
+5 0 1 0 0 27 24 32 -0.57496975103022
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0.391102792978988
+6 0 1 0 0 10 24 32 0.487580244568536
+6 0 1 0 0 11 24 32 0.565372932792225
+6 0 1 0 0 12 24 32 0.612653871445795
+6 0 1 0 0 13 24 32 0.635977938179441
+6 0 1 0 0 14 24 32 0.630226338628326
+6 0 1 0 0 15 24 32 0.597278172529115
+6 0 1 0 0 16 24 32 0.538128541140548
+6 0 1 0 0 17 24 32 0.455473847574355
+6 0 1 0 0 18 24 32 0.352910332080566
+6 0 1 0 0 19 24 32 0.234923222872477
+6 0 1 0 0 20 24 32 0.10667055271291
+6 0 1 0 0 21 24 32 -0.0262394173409586
+6 0 1 0 0 22 24 32 -0.157948266019095
+6 0 1 0 0 23 24 32 -0.282723110589259
+6 0 1 0 0 24 24 32 -0.394692117220674
+6 0 1 0 0 25 24 32 -0.490017729548046
+6 0 1 0 0 26 24 32 -0.563042108806548
+6 0 1 0 0 27 24 32 -0.612804318655308
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -0.600802501898698
+6 0 0 0 0 2 24 32 -0.460809125595699
+6 0 0 0 0 4 24 32 -0.241138371155451
+6 0 0 0 0 6 24 32 0.0202258026743178
+6 0 0 0 0 8 24 32 0.278057555639513
+6 0 0 0 0 10 24 32 0.487580244568536
+6 0 0 0 0 12 24 32 0.612653871445795
+6 0 0 0 0 14 24 32 0.630226338628326
+6 0 0 0 0 16 24 32 0.538128541140548
+6 0 0 0 0 18 24 32 0.352910332080566
+6 0 0 0 0 20 24 32 0.10667055271291
+6 0 0 0 0 22 24 32 -0.157948266019095
+6 0 0 0 0 24 24 32 -0.394692117220674
+6 0 0 0 0 26 24 32 -0.563042108806548
+6 0 0 0 0 28 24 32 -0.636889754433792
+6 0 0 0 0 30 24 32 -0.600802501898698
+6 0 0 0 0 32 24 32 -0.460809125595699
+6 0 0 0 0 34 24 32 -0.241138371155451
+6 0 0 0 0 36 24 32 0.0202258026743178
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0.466482568395671
+7 0 1 0 0 10 24 32 0.546858922731238
+7 0 1 0 0 11 24 32 0.606181949952299
+7 0 1 0 0 12 24 32 0.632129566522523
+7 0 1 0 0 13 24 32 0.634174208081466
+7 0 1 0 0 14 24 32 0.606544264206907
+7 0 1 0 0 15 24 32 0.553083859680135
+7 0 1 0 0 16 24 32 0.475223644441572
+7 0 1 0 0 17 24 32 0.376636775120934
+7 0 1 0 0 18 24 32 0.261579505479243
+7 0 1 0 0 19 24 32 0.135091451268939
+7 0 1 0 0 20 24 32 0.00270517132817995
+7 0 1 0 0 21 24 32 -0.129789829150419
+7 0 1 0 0 22 24 32 -0.256504107970036
+7 0 1 0 0 23 24 32 -0.372016882167676
+7 0 1 0 0 24 24 32 -0.47074148576341
+7 0 1 0 0 25 24 32 -0.549950294132442
+7 0 1 0 0 26 24 32 -0.604104412882454
+7 0 1 0 0 27 24 32 -0.633352617747386
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0.531605213014809
+8 0 1 0 0 10 24 32 0.593321964401933
+8 0 1 0 0 11 24 32 0.630647867942192
+8 0 1 0 0 12 24 32 0.634647178434357
+8 0 1 0 0 13 24 32 0.61538482488865
+8 0 1 0 0 14 24 32 0.566523104221862
+8 0 1 0 0 15 24 32 0.494055997199531
+8 0 1 0 0 16 24 32 0.399547983291237
+8 0 1 0 0 17 24 32 0.287684996142527
+8 0 1 0 0 18 24 32 0.163220390236194
+8 0 1 0 0 19 24 32 0.0316277526597565
+8 0 1 0 0 20 24 32 -0.10133183289413
+8 0 1 0 0 21 24 32 -0.229849552269945
+8 0 1 0 0 22 24 32 -0.348140258182714
+8 0 1 0 0 23 24 32 -0.451327597204151
+8 0 1 0 0 24 24 32 -0.53424244760498
+8 0 1 0 0 25 24 32 -0.595366082536821
+8 0 1 0 0 26 24 32 -0.630502846529901
+8 0 1 0 0 27 24 32 -0.637960746208245
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -0.500393216101181
+8 0 0 0 0 2 24 32 -0.295556213449106
+8 0 0 0 0 4 24 32 -0.0396264340240035
+8 0 0 0 0 6 24 32 0.223141542406939
+8 0 0 0 0 8 24 32 0.447151139864875
+8 0 0 0 0 10 24 32 0.593321964401933
+8 0 0 0 0 12 24 32 0.634647178434357
+8 0 0 0 0 14 24 32 0.566523104221862
+8 0 0 0 0 16 24 32 0.399547983291237
+8 0 0 0 0 18 24 32 0.163220390236194
+8 0 0 0 0 20 24 32 -0.10133183289413
+8 0 0 0 0 22 24 32 -0.348140258182714
+8 0 0 0 0 24 24 32 -0.53424244760498
+8 0 0 0 0 26 24 32 -0.630502846529901
+8 0 0 0 0 28 24 32 -0.618563756831048
+8 0 0 0 0 30 24 32 -0.500393216101181
+8 0 0 0 0 32 24 32 -0.295556213449106
+8 0 0 0 0 34 24 32 -0.0396264340240035
+8 0 0 0 0 36 24 32 0.223141542406939
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0.580904793254439
+9 0 1 0 0 10 24 32 0.622710754030206
+9 0 1 0 0 11 24 32 0.638135278818578
+9 0 1 0 0 12 24 32 0.620192205514737
+9 0 1 0 0 13 24 32 0.580096956183032
+9 0 1 0 0 14 24 32 0.511231359810404
+9 0 1 0 0 15 24 32 0.421784210634129
+9 0 1 0 0 16 24 32 0.313124346438357
+9 0 1 0 0 17 24 32 0.191007364748957
+9 0 1 0 0 18 24 32 0.0604730478656601
+9 0 1 0 0 19 24 32 -0.072688449342991
+9 0 1 0 0 20 24 32 -0.202640847341122
+9 0 1 0 0 21 24 32 -0.323727646238973
+9 0 1 0 0 22 24 32 -0.430400363491228
+9 0 1 0 0 23 24 32 -0.518558914204221
+9 0 1 0 0 24 24 32 -0.583565649417711
+9 0 1 0 0 25 24 32 -0.625054546771263
+9 0 1 0 0 26 24 32 -0.639536480246274
+9 0 1 0 0 27 24 32 -0.625437314256492
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0.616142890811681
+10 0 1 0 0 10 24 32 0.636444830132863
+10 0 1 0 0 11 24 32 0.628408102604202
+10 0 1 0 0 12 24 32 0.589189311701501
+10 0 1 0 0 13 24 32 0.529234501037334
+10 0 1 0 0 14 24 32 0.442159324812253
+10 0 1 0 0 15 24 32 0.338212473416978
+10 0 1 0 0 16 24 32 0.218262912911995
+10 0 1 0 0 17 24 32 0.0892018078026405
+10 0 1 0 0 18 24 32 -0.0439043350060397
+10 0 1 0 0 19 24 32 -0.175053515494255
+10 0 1 0 0 20 24 32 -0.298494613742868
+10 0 1 0 0 21 24 32 -0.408902797813916
+10 0 1 0 0 22 24 32 -0.501093897650748
+10 0 1 0 0 23 24 32 -0.571950360605817
+10 0 1 0 0 24 24 32 -0.617443675536819
+10 0 1 0 0 25 24 32 -0.638273374272176
+10 0 1 0 0 26 24 32 -0.632105623865777
+10 0 1 0 0 27 24 32 -0.596210120325425
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -0.347273268709351
+10 0 0 0 0 2 24 32 -0.0989718437765133
+10 0 0 0 0 4 24 32 0.166374002117897
+10 0 0 0 0 6 24 32 0.4029056585467
+10 0 0 0 0 8 24 32 0.569287163761568
+10 0 0 0 0 10 24 32 0.636444830132863
+10 0 0 0 0 12 24 32 0.589189311701501
+10 0 0 0 0 14 24 32 0.442159324812253
+10 0 0 0 0 16 24 32 0.218262912911995
+10 0 0 0 0 18 24 32 -0.0439043350060397
+10 0 0 0 0 20 24 32 -0.298494613742868
+10 0 0 0 0 22 24 32 -0.501093897650748
+10 0 0 0 0 24 24 32 -0.617443675536819
+10 0 0 0 0 26 24 32 -0.632105623865777
+10 0 0 0 0 28 24 32 -0.535029309203674
+10 0 0 0 0 30 24 32 -0.347273268709351
+10 0 0 0 0 32 24 32 -0.0989718437765133
+10 0 0 0 0 34 24 32 0.166374002117897
+10 0 0 0 0 36 24 32 0.4029056585467
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0.634050914486693
+11 0 1 0 0 10 24 32 0.632766824918312
+11 0 1 0 0 11 24 32 0.601766991565833
+11 0 1 0 0 12 24 32 0.542508633056707
+11 0 1 0 0 13 24 32 0.464136672731424
+11 0 1 0 0 14 24 32 0.361180041079272
+11 0 1 0 0 15 24 32 0.245584849025748
+11 0 1 0 0 16 24 32 0.117500879347642
+11 0 1 0 0 17 24 32 -0.0149943956941395
+11 0 1 0 0 18 24 32 -0.147109688782648
+11 0 1 0 0 19 24 32 -0.272715104462493
+11 0 1 0 0 20 24 32 -0.386313649383673
+11 0 1 0 0 21 24 32 -0.483093923207431
+11 0 1 0 0 22 24 32 -0.55835580605858
+11 0 1 0 0 23 24 32 -0.610119553861644
+11 0 1 0 0 24 24 32 -0.635021560425915
+11 0 1 0 0 25 24 32 -0.634634824413432
+11 0 1 0 0 26 24 32 -0.608055347920242
+11 0 1 0 0 27 24 32 -0.551785467064353
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 0.635583925480137
+12 0 1 0 0 10 24 32 0.612262527650417
+12 0 1 0 0 11 24 32 0.55889552164607
+12 0 1 0 0 12 24 32 0.481411404512508
+12 0 1 0 0 13 24 32 0.386526055581626
+12 0 1 0 0 14 24 32 0.270498093765112
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+12 0 1 0 0 16 24 32 0.0135367498575325
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+12 0 1 0 0 18 24 32 -0.246372589803212
+12 0 1 0 0 19 24 32 -0.363046805304548
+12 0 1 0 0 20 24 32 -0.463738538446569
+12 0 1 0 0 21 24 32 -0.544323712658958
+12 0 1 0 0 22 24 32 -0.600695090266839
+12 0 1 0 0 23 24 32 -0.632092366414694
+12 0 1 0 0 24 24 32 -0.635844838198097
+12 0 1 0 0 25 24 32 -0.61424978657806
+12 0 1 0 0 26 24 32 -0.567437295565724
+12 0 1 0 0 27 24 32 -0.49163580896888
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -0.157443899720067
+12 0 0 0 0 2 24 32 0.10836058822876
+12 0 0 0 0 4 24 32 0.355180324230772
+12 0 0 0 0 6 24 32 0.540491970102877
+12 0 0 0 0 8 24 32 0.631378746005083
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+12 0 0 0 0 12 24 32 0.481411404512508
+12 0 0 0 0 14 24 32 0.270498093765112
+12 0 0 0 0 16 24 32 0.0135367498575325
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+12 0 0 0 0 20 24 32 -0.463738538446569
+12 0 0 0 0 22 24 32 -0.600695090266839
+12 0 0 0 0 24 24 32 -0.635844838198097
+12 0 0 0 0 26 24 32 -0.567437295565724
+12 0 0 0 0 28 24 32 -0.394800740143835
+12 0 0 0 0 30 24 32 -0.157443899720067
+12 0 0 0 0 32 24 32 0.10836058822876
+12 0 0 0 0 34 24 32 0.355180324230772
+12 0 0 0 0 36 24 32 0.540491970102877
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vz.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vz.yl
new file mode 100644
index 000000000..3e16c209f
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vz.yl
@@ -0,0 +1,622 @@
+# HYDROTOY::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -2.93103742532793e-15
+0 0 1 0 0 18 14 32 0.0906468344985235
+0 0 1 0 0 18 15 32 0.179448360850545
+0 0 1 0 0 18 16 32 0.264596836061988
+0 0 1 0 0 18 17 32 0.344358882725476
+0 0 1 0 0 18 18 32 0.417110775585686
+0 0 1 0 0 18 19 32 0.481371495903121
+0 0 1 0 0 18 20 32 0.53583288072473
+0 0 1 0 0 18 21 32 0.579386253309212
+0 0 1 0 0 18 22 32 0.611144992588301
+0 0 1 0 0 18 23 32 0.630462582214916
+0 0 1 0 0 18 24 32 0.636945771771587
+0 0 1 0 0 18 25 32 0.630462582214916
+0 0 1 0 0 18 26 32 0.611144992588301
+0 0 1 0 0 18 27 32 0.579386253309212
+0 0 1 0 0 18 28 32 0.53583288072473
+0 0 1 0 0 18 29 32 0.48137149590312
+0 0 1 0 0 18 30 32 0.417110775585686
+0 0 1 0 0 18 31 32 0.344358882725476
+0 0 1 0 0 18 32 32 0.264596836061988
+0 0 1 0 0 18 33 32 0.179448360850545
+0 0 1 0 0 18 34 32 0.0906468344985234
+0 0 1 0 0 18 35 32 -3.07246779757962e-15
+0 0 1 0 0 18 36 32 -0.0906468344985296
+0 0 1 0 0 18 37 32 -0.17944836085055
+0 0 1 0 0 18 38 32 -0.264596836061994
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -0.611144992588299
+0 0 0 0 0 18 2 32 -0.636945771771587
+0 0 0 0 0 18 4 32 -0.611144992588303
+0 0 0 0 0 18 6 32 -0.535832880724733
+0 0 0 0 0 18 8 32 -0.417110775585691
+0 0 0 0 0 18 10 32 -0.264596836061994
+0 0 0 0 0 18 12 32 -0.0906468344985295
+0 0 0 0 0 18 14 32 0.0906468344985235
+0 0 0 0 0 18 16 32 0.264596836061988
+0 0 0 0 0 18 18 32 0.417110775585686
+0 0 0 0 0 18 20 32 0.53583288072473
+0 0 0 0 0 18 22 32 0.611144992588301
+0 0 0 0 0 18 24 32 0.636945771771587
+0 0 0 0 0 18 26 32 0.611144992588301
+0 0 0 0 0 18 28 32 0.53583288072473
+0 0 0 0 0 18 30 32 0.417110775585686
+0 0 0 0 0 18 32 32 0.264596836061988
+0 0 0 0 0 18 34 32 0.0906468344985234
+0 0 0 0 0 18 36 32 -0.0906468344985296
+0 0 0 0 0 18 38 32 -0.264596836061994
+0 0 0 0 0 18 40 32 -0.417110775585691
+0 0 0 0 0 18 42 32 -0.535832880724734
+0 0 0 0 0 18 44 32 -0.611144992588303
+0 0 0 0 0 18 46 32 -0.636945771771587
+0 0 0 0 0 18 48 32 -0.611144992588299
+0 0 0 0 0 18 50 32 -0.535832880724727
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0.101958040479921
+1 0 1 0 0 18 14 32 0.19045190926366
+1 0 1 0 0 18 15 32 0.276801468550229
+1 0 1 0 0 18 16 32 0.355631693593013
+1 0 1 0 0 18 17 32 0.42722228291136
+1 0 1 0 0 18 18 32 0.490115858556959
+1 0 1 0 0 18 19 32 0.543032088699761
+1 0 1 0 0 18 20 32 0.584893751491865
+1 0 1 0 0 18 21 32 0.614848664197891
+1 0 1 0 0 18 22 32 0.632287031177978
+1 0 1 0 0 18 23 32 0.63685385756851
+1 0 1 0 0 18 24 32 0.628456175953815
+1 0 1 0 0 18 25 32 0.607264938914655
+1 0 1 0 0 18 26 32 0.573711538926666
+1 0 1 0 0 18 27 32 0.528479026453587
+1 0 1 0 0 18 28 32 0.472488205009576
+1 0 1 0 0 18 29 32 0.406878886255038
+1 0 1 0 0 18 30 32 0.332986686718163
+1 0 1 0 0 18 31 32 0.252315838494016
+1 0 1 0 0 18 32 32 0.166508567416923
+1 0 1 0 0 18 33 32 0.0773116620782785
+1 0 1 0 0 18 34 32 -0.0134590857518569
+1 0 1 0 0 18 35 32 -0.103955845408883
+1 0 1 0 0 18 36 32 -0.192336363837286
+1 0 1 0 0 18 37 32 -0.275010333503837
+1 0 1 0 0 18 38 32 -0.354054672129119
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0.203336824400688
+2 0 1 0 0 18 14 32 0.287310844989877
+2 0 1 0 0 18 15 32 0.366814710346517
+2 0 1 0 0 18 16 32 0.437116971964769
+2 0 1 0 0 18 17 32 0.49863426960122
+2 0 1 0 0 18 18 32 0.54998022255102
+2 0 1 0 0 18 19 32 0.590130164181673
+2 0 1 0 0 18 20 32 0.618266757464451
+2 0 1 0 0 18 21 32 0.63381722249935
+2 0 1 0 0 18 22 32 0.636464996662099
+2 0 1 0 0 18 23 32 0.626156178906293
+2 0 1 0 0 18 24 32 0.603100627033265
+2 0 1 0 0 18 25 32 0.567767685592429
+2 0 1 0 0 18 26 32 0.520876631379732
+2 0 1 0 0 18 27 32 0.463382031036309
+2 0 1 0 0 18 28 32 0.396454308824417
+2 0 1 0 0 18 29 32 0.321455920164677
+2 0 1 0 0 18 30 32 0.239913615972709
+2 0 1 0 0 18 31 32 0.153487362413272
+2 0 1 0 0 18 32 32 0.0639365487761045
+2 0 1 0 0 18 33 32 -0.0269158286163637
+2 0 1 0 0 18 34 32 -0.117220277357043
+2 0 1 0 0 18 35 32 -0.205118972117534
+2 0 1 0 0 18 36 32 -0.288811734351734
+2 0 1 0 0 18 37 32 -0.365347955302905
+2 0 1 0 0 18 38 32 -0.436059668496852
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 -0.637195713383579
+2 0 0 0 0 18 2 32 -0.604381951846523
+2 0 0 0 0 18 4 32 -0.522604758968737
+2 0 0 0 0 18 6 32 -0.398489236569475
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+2 0 0 0 0 18 14 32 0.287310844989877
+2 0 0 0 0 18 16 32 0.437116971964769
+2 0 0 0 0 18 18 32 0.54998022255102
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+2 0 0 0 0 18 22 32 0.636464996662099
+2 0 0 0 0 18 24 32 0.603100627033265
+2 0 0 0 0 18 26 32 0.520876631379732
+2 0 0 0 0 18 28 32 0.396454308824417
+2 0 0 0 0 18 30 32 0.239913615972709
+2 0 0 0 0 18 32 32 0.0639365487761045
+2 0 0 0 0 18 34 32 -0.117220277357043
+2 0 0 0 0 18 36 32 -0.288811734351734
+2 0 0 0 0 18 38 32 -0.436059668496852
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+2 0 0 0 0 18 42 32 -0.618387667771118
+2 0 0 0 0 18 44 32 -0.637195713383579
+2 0 0 0 0 18 46 32 -0.604381951846523
+2 0 0 0 0 18 48 32 -0.522604758968737
+2 0 0 0 0 18 50 32 -0.398489236569475
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0.297122722560746
+3 0 1 0 0 18 14 32 0.374509240180489
+3 0 1 0 0 18 15 32 0.447057640236956
+3 0 1 0 0 18 16 32 0.506827467675778
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+3 0 1 0 0 18 33 32 -0.130434852313489
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+3 0 1 0 0 18 37 32 -0.444792713212239
+3 0 1 0 0 18 38 32 -0.504818975199184
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0.385785774294104
+4 0 1 0 0 18 14 32 0.454285228667723
+4 0 1 0 0 18 15 32 0.515349180689513
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+4 0 1 0 0 18 24 32 0.504938202020884
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+4 0 1 0 0 18 26 32 0.375042831525238
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+4 0 1 0 0 18 36 32 -0.455984939625854
+4 0 1 0 0 18 37 32 -0.513778155864505
+4 0 1 0 0 18 38 32 -0.562263542224784
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 -0.59648290094983
+4 0 0 0 0 18 2 32 -0.508360375451156
+4 0 0 0 0 18 4 32 -0.379053515669004
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+4 0 0 0 0 18 32 32 -0.143596518225502
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+4 0 0 0 0 18 48 32 -0.379053515669004
+4 0 0 0 0 18 50 32 -0.2190379943654
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0.461982018013797
+5 0 1 0 0 18 14 32 0.520003482806647
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+5 0 1 0 0 18 37 32 -0.567907562529154
+5 0 1 0 0 18 38 32 -0.603405789548755
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0.528170924206962
+6 0 1 0 0 18 14 32 0.573875778478906
+6 0 1 0 0 18 15 32 0.609087357711785
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+6 0 1 0 0 18 37 32 -0.60805918748856
+6 0 1 0 0 18 38 32 -0.629908243846063
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 -0.493113583217527
+6 0 0 0 0 18 2 32 -0.358814710696291
+6 0 0 0 0 18 4 32 -0.195446804267703
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+6 0 0 0 0 18 48 32 -0.195446804267703
+6 0 0 0 0 18 50 32 -0.0162449601242363
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0.578670904321306
+7 0 1 0 0 18 14 32 0.611120822543567
+7 0 1 0 0 18 15 32 0.632013179995388
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+7 0 1 0 0 18 37 32 -0.631175009131491
+7 0 1 0 0 18 38 32 -0.639028958773139
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0.615313954557648
+8 0 1 0 0 18 14 32 0.633332379380941
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+8 0 1 0 0 18 37 32 -0.63824323348834
+8 0 1 0 0 18 38 32 -0.631681916444505
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -0.337794414256765
+8 0 0 0 0 18 2 32 -0.171335037756763
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+8 0 0 0 0 18 48 32 0.00900705762306818
+8 0 0 0 0 18 50 32 0.188619368399998
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0.63468295670025
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+9 0 1 0 0 18 38 32 -0.607665083231773
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 0.637799722924
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+10 0 1 0 0 18 37 32 -0.601129194429765
+10 0 1 0 0 18 38 32 -0.567045803677738
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -0.146717342024451
+10 0 0 0 0 18 2 32 0.0344564118207704
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+10 0 0 0 0 18 48 32 0.212856332547802
+10 0 0 0 0 18 50 32 0.374010450467525
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0.623885519379401
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+11 0 1 0 0 18 37 32 -0.558414107988997
+11 0 1 0 0 18 38 32 -0.512210762270426
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0.5930426294711
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+12 0 1 0 0 18 37 32 -0.500495251094579
+12 0 1 0 0 18 38 32 -0.44236439751383
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0.0601347312362356
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+12 0 0 0 0 18 46 32 0.236957446841132
+12 0 0 0 0 18 48 32 0.394656522751025
+12 0 0 0 0 18 50 32 0.520374608611478
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vz.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vz.zl
new file mode 100644
index 000000000..c22abf4d2
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl2/vz.zl
@@ -0,0 +1,782 @@
+# HYDROTOY::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -0.636945771771587
+0 0 1 0 0 18 24 18 -0.62302697845592
+0 0 1 0 0 18 24 19 -0.581878916566593
+0 0 1 0 0 18 24 20 -0.515299953858479
+0 0 1 0 0 18 24 21 -0.426199910483232
+0 0 1 0 0 18 24 22 -0.318472885885792
+0 0 1 0 0 18 24 23 -0.196827067972686
+0 0 1 0 0 18 24 24 -0.0665789627081123
+0 0 1 0 0 18 24 25 0.0665789627081145
+0 0 1 0 0 18 24 26 0.196827067972688
+0 0 1 0 0 18 24 27 0.318472885885794
+0 0 1 0 0 18 24 28 0.426199910483233
+0 0 1 0 0 18 24 29 0.515299953858481
+0 0 1 0 0 18 24 30 0.581878916566594
+0 0 1 0 0 18 24 31 0.62302697845592
+0 0 1 0 0 18 24 32 0.636945771771587
+0 0 1 0 0 18 24 33 0.62302697845592
+0 0 1 0 0 18 24 34 0.581878916566594
+0 0 1 0 0 18 24 35 0.515299953858481
+0 0 1 0 0 18 24 36 0.426199910483233
+0 0 1 0 0 18 24 37 0.318472885885794
+0 0 1 0 0 18 24 38 0.196827067972688
+0 0 1 0 0 18 24 39 0.0665789627081145
+0 0 1 0 0 18 24 40 -0.0665789627081124
+0 0 1 0 0 18 24 41 -0.196827067972686
+0 0 1 0 0 18 24 42 -0.318472885885792
+0 0 1 0 0 18 24 43 -0.426199910483232
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+0 0 1 0 0 18 24 45 -0.581878916566593
+0 0 1 0 0 18 24 46 -0.62302697845592
+0 0 1 0 0 18 24 47 -0.636945771771587
+0 0 1 0 0 18 24 48 -0.62302697845592
+0 0 1 0 0 18 24 49 -0.581878916566595
+0 0 1 0 0 18 24 50 -0.515299953858482
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 0.581878916566596
+0 0 0 0 0 18 24 2 0.636945771771587
+0 0 0 0 0 18 24 4 0.581878916566593
+0 0 0 0 0 18 24 6 0.42619991048323
+0 0 0 0 0 18 24 8 0.196827067972683
+0 0 0 0 0 18 24 10 -0.0665789627081168
+0 0 0 0 0 18 24 12 -0.318472885885796
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+0 0 0 0 0 18 24 32 0.636945771771587
+0 0 0 0 0 18 24 34 0.581878916566594
+0 0 0 0 0 18 24 36 0.426199910483233
+0 0 0 0 0 18 24 38 0.196827067972688
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+0 0 0 0 0 18 24 42 -0.318472885885792
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+0 0 0 0 0 18 24 48 -0.62302697845592
+0 0 0 0 0 18 24 50 -0.515299953858482
+0 0 0 0 0 18 24 52 -0.318472885885796
+0 0 0 0 0 18 24 54 -0.0665789627081168
+0 0 0 0 0 18 24 56 0.196827067972684
+0 0 0 0 0 18 24 58 0.42619991048323
+0 0 0 0 0 18 24 60 0.581878916566593
+0 0 0 0 0 18 24 62 0.636945771771587
+0 0 0 0 0 18 24 64 0.581878916566596
+0 0 0 0 0 18 24 66 0.426199910483237
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -0.628552655248775
+1 0 1 0 0 18 24 18 -0.594053210778659
+1 0 1 0 0 18 24 19 -0.533298370918345
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+1 0 1 0 0 18 24 28 0.497773510679683
+1 0 1 0 0 18 24 29 0.569535439387465
+1 0 1 0 0 18 24 30 0.616405936459762
+1 0 1 0 0 18 24 31 0.636336536264916
+1 0 1 0 0 18 24 32 0.628456175953815
+1 0 1 0 0 18 24 33 0.593109265086217
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+1 0 1 0 0 18 24 35 0.447328013745593
+1 0 1 0 0 18 24 36 0.343265013492209
+1 0 1 0 0 18 24 37 0.224199684980931
+1 0 1 0 0 18 24 38 0.0953357544065354
+1 0 1 0 0 18 24 39 -0.0376948061071308
+1 0 1 0 0 18 24 40 -0.169077922714167
+1 0 1 0 0 18 24 41 -0.293071522772706
+1 0 1 0 0 18 24 42 -0.404256490972884
+1 0 1 0 0 18 24 43 -0.497773510679681
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+1 0 1 0 0 18 24 45 -0.616405936459761
+1 0 1 0 0 18 24 46 -0.636336536264916
+1 0 1 0 0 18 24 47 -0.628456175953816
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+1 0 1 0 0 18 24 49 -0.532764421039846
+1 0 1 0 0 18 24 50 -0.448932909375275
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -0.603952191874012
+2 0 1 0 0 18 24 18 -0.548892104535778
+2 0 1 0 0 18 24 19 -0.470028735205484
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+2 0 1 0 0 18 24 26 0.381466611518256
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+2 0 1 0 0 18 24 28 0.556000672787044
+2 0 1 0 0 18 24 29 0.608496017634465
+2 0 1 0 0 18 24 30 0.634397166623412
+2 0 1 0 0 18 24 31 0.632572115255564
+2 0 1 0 0 18 24 32 0.603100627033265
+2 0 1 0 0 18 24 33 0.54727074741172
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+2 0 1 0 0 18 24 36 0.251105503737309
+2 0 1 0 0 18 24 37 0.123895196481675
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+2 0 1 0 0 18 24 40 -0.26705587108168
+2 0 1 0 0 18 24 41 -0.381466611518254
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+2 0 1 0 0 18 24 43 -0.556000672787042
+2 0 1 0 0 18 24 44 -0.608496017634465
+2 0 1 0 0 18 24 45 -0.634397166623412
+2 0 1 0 0 18 24 46 -0.632529630971321
+2 0 1 0 0 18 24 47 -0.602916000277718
+2 0 1 0 0 18 24 48 -0.544981063274879
+2 0 1 0 0 18 24 49 -0.469079251221587
+2 0 1 0 0 18 24 50 -0.369418369953891
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 0.634847735200847
+2 0 0 0 0 18 24 2 0.604381951846525
+2 0 0 0 0 18 24 4 0.469413038380274
+2 0 0 0 0 18 24 6 0.253278346094499
+2 0 0 0 0 18 24 8 -0.00665047319255438
+2 0 0 0 0 18 24 10 -0.265429365246962
+2 0 0 0 0 18 24 12 -0.478313108700088
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+2 0 0 0 0 18 24 20 -0.367140789716871
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+2 0 0 0 0 18 24 24 0.140973507602591
+2 0 0 0 0 18 24 26 0.381466611518256
+2 0 0 0 0 18 24 28 0.556000672787044
+2 0 0 0 0 18 24 30 0.634397166623412
+2 0 0 0 0 18 24 32 0.603100627033265
+2 0 0 0 0 18 24 34 0.467522510031876
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+2 0 0 0 0 18 24 64 0.469413038380274
+2 0 0 0 0 18 24 66 0.253278346094499
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -0.563884077634816
+3 0 1 0 0 18 24 18 -0.48985993946387
+3 0 1 0 0 18 24 19 -0.393561339513534
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+3 0 1 0 0 18 24 50 -0.282166175168066
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -0.507666077925392
+4 0 1 0 0 18 24 18 -0.416184622317406
+4 0 1 0 0 18 24 19 -0.306002904149347
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+4 0 1 0 0 18 24 50 -0.185373045159889
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 0.621361463077223
+4 0 0 0 0 18 24 2 0.508360375451158
+4 0 0 0 0 18 24 4 0.307459160600559
+4 0 0 0 0 18 24 6 0.0533954637033422
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+4 0 0 0 0 18 24 22 0.0840068680671894
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+4 0 0 0 0 18 24 64 0.307459160600559
+4 0 0 0 0 18 24 66 0.0533954637033422
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -0.439317612840879
+5 0 1 0 0 18 24 18 -0.332993573338783
+5 0 1 0 0 18 24 19 -0.209667135318351
+5 0 1 0 0 18 24 20 -0.0770580790292543
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+5 0 1 0 0 18 24 24 0.417681890187222
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+5 0 1 0 0 18 24 27 0.62066595014538
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+5 0 1 0 0 18 24 33 0.32844237320489
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+5 0 1 0 0 18 24 42 -0.620665298072825
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+5 0 1 0 0 18 24 49 -0.211853188368446
+5 0 1 0 0 18 24 50 -0.0861901837154472
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -0.357269351548466
+6 0 1 0 0 18 24 18 -0.238577652447203
+6 0 1 0 0 18 24 19 -0.107278021317545
+6 0 1 0 0 18 24 20 0.0271221443266218
+6 0 1 0 0 18 24 21 0.15684384137294
+6 0 1 0 0 18 24 22 0.283169544925552
+6 0 1 0 0 18 24 23 0.395247095267045
+6 0 1 0 0 18 24 24 0.490616901732259
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+6 0 1 0 0 18 24 28 0.630303356074972
+6 0 1 0 0 18 24 29 0.597268775963895
+6 0 1 0 0 18 24 30 0.538130685704519
+6 0 1 0 0 18 24 31 0.45547370207571
+6 0 1 0 0 18 24 32 0.352910332080566
+6 0 1 0 0 18 24 33 0.234923087206509
+6 0 1 0 0 18 24 34 0.106668575950166
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+6 0 1 0 0 18 24 39 -0.490600198924641
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+6 0 1 0 0 18 24 41 -0.613490594194548
+6 0 1 0 0 18 24 42 -0.635786920549027
+6 0 1 0 0 18 24 43 -0.630288014301242
+6 0 1 0 0 18 24 44 -0.59714501924612
+6 0 1 0 0 18 24 45 -0.537858189082929
+6 0 1 0 0 18 24 46 -0.454368449652254
+6 0 1 0 0 18 24 47 -0.352038543333567
+6 0 1 0 0 18 24 48 -0.234677432863885
+6 0 1 0 0 18 24 49 -0.111895223874864
+6 0 1 0 0 18 24 50 0.0177661437606209
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 0.542663970499056
+6 0 0 0 0 18 24 2 0.358814710696292
+6 0 0 0 0 18 24 4 0.112923127684826
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+6 0 0 0 0 18 24 26 0.61349112365354
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+6 0 0 0 0 18 24 40 -0.564378517851554
+6 0 0 0 0 18 24 42 -0.635786920549027
+6 0 0 0 0 18 24 44 -0.59714501924612
+6 0 0 0 0 18 24 46 -0.454368449652254
+6 0 0 0 0 18 24 48 -0.234677432863885
+6 0 0 0 0 18 24 50 0.0177661437606209
+6 0 0 0 0 18 24 52 0.27864071700456
+6 0 0 0 0 18 24 54 0.48782133557532
+6 0 0 0 0 18 24 56 0.613306834949673
+6 0 0 0 0 18 24 58 0.632681699855125
+6 0 0 0 0 18 24 60 0.542663970499056
+6 0 0 0 0 18 24 62 0.358814710696292
+6 0 0 0 0 18 24 64 0.112923127684826
+6 0 0 0 0 18 24 66 -0.152493889977748
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -0.267726383981873
+7 0 1 0 0 18 24 18 -0.140059399477001
+7 0 1 0 0 18 24 19 -0.00166784328619148
+7 0 1 0 0 18 24 20 0.130393957688691
+7 0 1 0 0 18 24 21 0.255287659583189
+7 0 1 0 0 18 24 22 0.372719620764566
+7 0 1 0 0 18 24 23 0.471349476980884
+7 0 1 0 0 18 24 24 0.550403994328651
+7 0 1 0 0 18 24 25 0.605030127341663
+7 0 1 0 0 18 24 26 0.633287693943847
+7 0 1 0 0 18 24 27 0.633850028702509
+7 0 1 0 0 18 24 28 0.606712016254446
+7 0 1 0 0 18 24 29 0.55305747691863
+7 0 1 0 0 18 24 30 0.475231691865088
+7 0 1 0 0 18 24 31 0.376635998857035
+7 0 1 0 0 18 24 32 0.261579505479243
+7 0 1 0 0 18 24 33 0.135090733436578
+7 0 1 0 0 18 24 34 0.00269784626108129
+7 0 1 0 0 18 24 35 -0.129812947057206
+7 0 1 0 0 18 24 36 -0.256650295083519
+7 0 1 0 0 18 24 37 -0.372270789653883
+7 0 1 0 0 18 24 38 -0.471621267392501
+7 0 1 0 0 18 24 39 -0.5503596170299
+7 0 1 0 0 18 24 40 -0.605044392837627
+7 0 1 0 0 18 24 41 -0.633285006025658
+7 0 1 0 0 18 24 42 -0.633836836323696
+7 0 1 0 0 18 24 43 -0.606670893034676
+7 0 1 0 0 18 24 44 -0.552803692959306
+7 0 1 0 0 18 24 45 -0.474803077612877
+7 0 1 0 0 18 24 46 -0.375354589967676
+7 0 1 0 0 18 24 47 -0.261149101701213
+7 0 1 0 0 18 24 48 -0.136879259303408
+7 0 1 0 0 18 24 49 -0.0103493252194742
+7 0 1 0 0 18 24 50 0.11869737061067
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -0.1685339306907
+8 0 1 0 0 18 24 18 -0.0350646344834
+8 0 1 0 0 18 24 19 0.104163179663646
+8 0 1 0 0 18 24 20 0.229909261793259
+8 0 1 0 0 18 24 21 0.34710300352094
+8 0 1 0 0 18 24 22 0.452263385625963
+8 0 1 0 0 18 24 23 0.534744773401102
+8 0 1 0 0 18 24 24 0.595442803155252
+8 0 1 0 0 18 24 25 0.629431560131176
+8 0 1 0 0 18 24 26 0.636087282600408
+8 0 1 0 0 18 24 27 0.614892726736121
+8 0 1 0 0 18 24 28 0.566831873141781
+8 0 1 0 0 18 24 29 0.493996266809602
+8 0 1 0 0 18 24 30 0.399570792846948
+8 0 1 0 0 18 24 31 0.287682136451791
+8 0 1 0 0 18 24 32 0.163220390236194
+8 0 1 0 0 18 24 33 0.0316251356101399
+8 0 1 0 0 18 24 34 -0.101352299915247
+8 0 1 0 0 18 24 35 -0.229900138547391
+8 0 1 0 0 18 24 36 -0.348400256592661
+8 0 1 0 0 18 24 37 -0.451673589487941
+8 0 1 0 0 18 24 38 -0.535206629312114
+8 0 1 0 0 18 24 39 -0.595348483600876
+8 0 1 0 0 18 24 40 -0.629469774472582
+8 0 1 0 0 18 24 41 -0.636077875495608
+8 0 1 0 0 18 24 42 -0.614857381767379
+8 0 1 0 0 18 24 43 -0.566743572601221
+8 0 1 0 0 18 24 44 -0.493563506459582
+8 0 1 0 0 18 24 45 -0.39900984259854
+8 0 1 0 0 18 24 46 -0.28650620604291
+8 0 1 0 0 18 24 47 -0.163714605131354
+8 0 1 0 0 18 24 48 -0.0358075690514059
+8 0 1 0 0 18 24 49 0.0930123046370683
+8 0 1 0 0 18 24 50 0.219203019053916
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 0.406862107822967
+8 0 0 0 0 18 24 2 0.171334964440367
+8 0 0 0 0 18 24 4 -0.0938174314677489
+8 0 0 0 0 18 24 6 -0.342747941170476
+8 0 0 0 0 18 24 8 -0.532414148571308
+8 0 0 0 0 18 24 10 -0.630018924566627
+8 0 0 0 0 18 24 12 -0.618668197231999
+8 0 0 0 0 18 24 14 -0.500132671977512
+8 0 0 0 0 18 24 16 -0.294505439161729
+8 0 0 0 0 18 24 18 -0.0350646344834
+8 0 0 0 0 18 24 20 0.229909261793259
+8 0 0 0 0 18 24 22 0.452263385625963
+8 0 0 0 0 18 24 24 0.595442803155252
+8 0 0 0 0 18 24 26 0.636087282600408
+8 0 0 0 0 18 24 28 0.566831873141781
+8 0 0 0 0 18 24 30 0.399570792846948
+8 0 0 0 0 18 24 32 0.163220390236194
+8 0 0 0 0 18 24 34 -0.101352299915247
+8 0 0 0 0 18 24 36 -0.348400256592661
+8 0 0 0 0 18 24 38 -0.535206629312114
+8 0 0 0 0 18 24 40 -0.629469774472582
+8 0 0 0 0 18 24 42 -0.614857381767379
+8 0 0 0 0 18 24 44 -0.493563506459582
+8 0 0 0 0 18 24 46 -0.28650620604291
+8 0 0 0 0 18 24 48 -0.0358075690514059
+8 0 0 0 0 18 24 50 0.219203019053916
+8 0 0 0 0 18 24 52 0.448601536588747
+8 0 0 0 0 18 24 54 0.593937141526344
+8 0 0 0 0 18 24 56 0.638340468981473
+8 0 0 0 0 18 24 58 0.57203618861038
+8 0 0 0 0 18 24 60 0.406862107822967
+8 0 0 0 0 18 24 62 0.171334964440367
+8 0 0 0 0 18 24 64 -0.0938174314677489
+8 0 0 0 0 18 24 66 -0.342747941170476
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -0.0673104018561829
+9 0 1 0 0 18 24 18 0.0681059794807378
+9 0 1 0 0 18 24 19 0.207247669805296
+9 0 1 0 0 18 24 20 0.3231225367424
+9 0 1 0 0 18 24 21 0.429930207547708
+9 0 1 0 0 18 24 22 0.519613415122261
+9 0 1 0 0 18 24 23 0.583751095896297
+9 0 1 0 0 18 24 24 0.624525490710246
+9 0 1 0 0 18 24 25 0.636911291836498
+9 0 1 0 0 18 24 26 0.62181446801571
+9 0 1 0 0 18 24 27 0.579423490479057
+9 0 1 0 0 18 24 28 0.51173122563348
+9 0 1 0 0 18 24 29 0.421668526201587
+9 0 1 0 0 18 24 30 0.313177544889287
+9 0 1 0 0 18 24 31 0.190999084882931
+9 0 1 0 0 18 24 32 0.0604730478656601
+9 0 1 0 0 18 24 33 -0.0726959250412192
+9 0 1 0 0 18 24 34 -0.202687782338635
+9 0 1 0 0 18 24 35 -0.323821149913778
+9 0 1 0 0 18 24 36 -0.430802052798408
+9 0 1 0 0 18 24 37 -0.518954750463454
+9 0 1 0 0 18 24 38 -0.584426649558037
+9 0 1 0 0 18 24 39 -0.624355967782524
+9 0 1 0 0 18 24 40 -0.636994708234685
+9 0 1 0 0 18 24 41 -0.621788732358851
+9 0 1 0 0 18 24 42 -0.579346351849336
+9 0 1 0 0 18 24 43 -0.511571376702781
+9 0 1 0 0 18 24 44 -0.421036350318192
+9 0 1 0 0 18 24 45 -0.312582059809674
+9 0 1 0 0 18 24 46 -0.190343253101527
+9 0 1 0 0 18 24 47 -0.0623249205973711
+9 0 1 0 0 18 24 48 0.0659154289238202
+9 0 1 0 0 18 24 49 0.191567573611653
+9 0 1 0 0 18 24 50 0.311579686164898
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 0.0383821213740489
+10 0 1 0 0 18 24 18 0.1722193300997
+10 0 1 0 0 18 24 19 0.304713853391441
+10 0 1 0 0 18 24 20 0.407506885262113
+10 0 1 0 0 18 24 21 0.501571513927838
+10 0 1 0 0 18 24 22 0.57290708953729
+10 0 1 0 0 18 24 23 0.617097856793352
+10 0 1 0 0 18 24 24 0.636865655615
+10 0 1 0 0 18 24 25 0.627256856106354
+10 0 1 0 0 18 24 26 0.590853474991442
+10 0 1 0 0 18 24 27 0.528389403826346
+10 0 1 0 0 18 24 28 0.442887549383583
+10 0 1 0 0 18 24 29 0.338014000996221
+10 0 1 0 0 18 24 30 0.218369975653913
+10 0 1 0 0 18 24 31 0.0891816520752122
+10 0 1 0 0 18 24 32 -0.0439043350060397
+10 0 1 0 0 18 24 33 -0.175071398514669
+10 0 1 0 0 18 24 34 -0.298587154034695
+10 0 1 0 0 18 24 35 -0.409053019596751
+10 0 1 0 0 18 24 36 -0.501641535533039
+10 0 1 0 0 18 24 37 -0.572305626949493
+10 0 1 0 0 18 24 38 -0.617957182018054
+10 0 1 0 0 18 24 39 -0.636600084891583
+10 0 1 0 0 18 24 40 -0.627411947673815
+10 0 1 0 0 18 24 41 -0.590794789433834
+10 0 1 0 0 18 24 42 -0.528246281395612
+10 0 1 0 0 18 24 43 -0.442637527778285
+10 0 1 0 0 18 24 44 -0.337219204565761
+10 0 1 0 0 18 24 45 -0.217927097698857
+10 0 1 0 0 18 24 46 -0.0895242829425776
+10 0 1 0 0 18 24 47 0.0402427762176866
+10 0 1 0 0 18 24 48 0.165763826892466
+10 0 1 0 0 18 24 49 0.287779025753113
+10 0 1 0 0 18 24 50 0.39839517291877
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 0.228092326203458
+10 0 0 0 0 18 24 2 -0.0344576734701573
+10 0 0 0 0 18 24 4 -0.291047497445495
+10 0 0 0 0 18 24 6 -0.497312592198739
+10 0 0 0 0 18 24 8 -0.617586750290233
+10 0 0 0 0 18 24 10 -0.631058955556475
+10 0 0 0 0 18 24 12 -0.535344616539465
+10 0 0 0 0 18 24 14 -0.346529282144943
+10 0 0 0 0 18 24 16 -0.0969838053373678
+10 0 0 0 0 18 24 18 0.1722193300997
+10 0 0 0 0 18 24 20 0.407506885262113
+10 0 0 0 0 18 24 22 0.57290708953729
+10 0 0 0 0 18 24 24 0.636865655615
+10 0 0 0 0 18 24 26 0.590853474991442
+10 0 0 0 0 18 24 28 0.442887549383583
+10 0 0 0 0 18 24 30 0.218369975653913
+10 0 0 0 0 18 24 32 -0.0439043350060397
+10 0 0 0 0 18 24 34 -0.298587154034695
+10 0 0 0 0 18 24 36 -0.501641535533039
+10 0 0 0 0 18 24 38 -0.617957182018054
+10 0 0 0 0 18 24 40 -0.627411947673815
+10 0 0 0 0 18 24 42 -0.528246281395612
+10 0 0 0 0 18 24 44 -0.337219204565761
+10 0 0 0 0 18 24 46 -0.0895242829425776
+10 0 0 0 0 18 24 48 0.165763826892466
+10 0 0 0 0 18 24 50 0.39839517291877
+10 0 0 0 0 18 24 52 0.571870175569187
+10 0 0 0 0 18 24 54 0.637589711139281
+10 0 0 0 0 18 24 56 0.596427090457052
+10 0 0 0 0 18 24 58 0.451180077641788
+10 0 0 0 0 18 24 60 0.228092326203458
+10 0 0 0 0 18 24 62 -0.0344576734701573
+10 0 0 0 0 18 24 64 -0.291047497445495
+10 0 0 0 0 18 24 66 -0.497312592198739
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 0.140401432743851
+11 0 1 0 0 18 24 18 0.26880114551625
+11 0 1 0 0 18 24 19 0.393846627993039
+11 0 1 0 0 18 24 20 0.480954918512145
+11 0 1 0 0 18 24 21 0.560107914812061
+11 0 1 0 0 18 24 22 0.610668781759103
+11 0 1 0 0 18 24 23 0.633954881204441
+11 0 1 0 0 18 24 24 0.632116586972226
+11 0 1 0 0 18 24 25 0.600720747226409
+11 0 1 0 0 18 24 26 0.544037262547874
+11 0 1 0 0 18 24 27 0.46315417077551
+11 0 1 0 0 18 24 28 0.362147958854848
+11 0 1 0 0 18 24 29 0.245276502354383
+11 0 1 0 0 18 24 30 0.11769224127333
+11 0 1 0 0 18 24 31 -0.0150373439621161
+11 0 1 0 0 18 24 32 -0.147109688782648
+11 0 1 0 0 18 24 33 -0.272752362578289
+11 0 1 0 0 18 24 34 -0.386474883191521
+11 0 1 0 0 18 24 35 -0.483306048521102
+11 0 1 0 0 18 24 36 -0.559015028357842
+11 0 1 0 0 18 24 37 -0.610291605176143
+11 0 1 0 0 18 24 38 -0.634895220712324
+11 0 1 0 0 18 24 39 -0.631748630978904
+11 0 1 0 0 18 24 40 -0.600972360132099
+11 0 1 0 0 18 24 41 -0.543921534807812
+11 0 1 0 0 18 24 42 -0.462923407119285
+11 0 1 0 0 18 24 43 -0.361808322864076
+11 0 1 0 0 18 24 44 -0.244437971937093
+11 0 1 0 0 18 24 45 -0.117678240665223
+11 0 1 0 0 18 24 46 0.0131996512138911
+11 0 1 0 0 18 24 47 0.14141145462381
+11 0 1 0 0 18 24 48 0.2612124303864
+11 0 1 0 0 18 24 49 0.373582176770033
+11 0 1 0 0 18 24 50 0.472741065864329
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 0.241221321252669
+12 0 1 0 0 18 24 18 0.360676183016133
+12 0 1 0 0 18 24 19 0.472256602825277
+12 0 1 0 0 18 24 20 0.541467407803912
+12 0 1 0 0 18 24 21 0.603880373419682
+12 0 1 0 0 18 24 22 0.631859621511512
+12 0 1 0 0 18 24 23 0.633945254903931
+12 0 1 0 0 18 24 24 0.610379870791735
+12 0 1 0 0 18 24 25 0.558018408127678
+12 0 1 0 0 18 24 26 0.482623761535182
+12 0 1 0 0 18 24 27 0.385461609241215
+12 0 1 0 0 18 24 28 0.271679595125292
+12 0 1 0 0 18 24 29 0.145943255611249
+12 0 1 0 0 18 24 30 0.0138461040638361
+12 0 1 0 0 18 24 31 -0.118860736216739
+12 0 1 0 0 18 24 32 -0.246372589803212
+12 0 1 0 0 18 24 33 -0.363116106322063
+12 0 1 0 0 18 24 34 -0.463990787825967
+12 0 1 0 0 18 24 35 -0.544585513645884
+12 0 1 0 0 18 24 36 -0.601380639999238
+12 0 1 0 0 18 24 37 -0.631890738575358
+12 0 1 0 0 18 24 38 -0.63478307885622
+12 0 1 0 0 18 24 39 -0.609928004007712
+12 0 1 0 0 18 24 40 -0.558378421502418
+12 0 1 0 0 18 24 41 -0.482422084270974
+12 0 1 0 0 18 24 42 -0.385136121346867
+12 0 1 0 0 18 24 43 -0.271286228895899
+12 0 1 0 0 18 24 44 -0.145276681397525
+12 0 1 0 0 18 24 45 -0.0146052894672054
+12 0 1 0 0 18 24 46 0.11512425968356
+12 0 1 0 0 18 24 47 0.238511647698327
+12 0 1 0 0 18 24 48 0.349863059402887
+12 0 1 0 0 18 24 49 0.452843160666537
+12 0 1 0 0 18 24 50 0.536920169485308
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 0.0250520621808693
+12 0 0 0 0 18 24 2 -0.236964808005164
+12 0 0 0 0 18 24 4 -0.457995230719109
+12 0 0 0 0 18 24 6 -0.599834516037276
+12 0 0 0 0 18 24 8 -0.637951062980916
+12 0 0 0 0 18 24 10 -0.565702158395897
+12 0 0 0 0 18 24 12 -0.395474719604791
+12 0 0 0 0 18 24 14 -0.155905867969948
+12 0 0 0 0 18 24 16 0.111277787799026
+12 0 0 0 0 18 24 18 0.360676183016133
+12 0 0 0 0 18 24 20 0.541467407803912
+12 0 0 0 0 18 24 22 0.631859621511512
+12 0 0 0 0 18 24 24 0.610379870791735
+12 0 0 0 0 18 24 26 0.482623761535182
+12 0 0 0 0 18 24 28 0.271679595125292
+12 0 0 0 0 18 24 30 0.0138461040638361
+12 0 0 0 0 18 24 32 -0.246372589803212
+12 0 0 0 0 18 24 34 -0.463990787825967
+12 0 0 0 0 18 24 36 -0.601380639999238
+12 0 0 0 0 18 24 38 -0.63478307885622
+12 0 0 0 0 18 24 40 -0.558378421502418
+12 0 0 0 0 18 24 42 -0.385136121346867
+12 0 0 0 0 18 24 44 -0.145276681397525
+12 0 0 0 0 18 24 46 0.11512425968356
+12 0 0 0 0 18 24 48 0.349863059402887
+12 0 0 0 0 18 24 50 0.536920169485308
+12 0 0 0 0 18 24 52 0.635037291597837
+12 0 0 0 0 18 24 54 0.614007743732415
+12 0 0 0 0 18 24 56 0.491842829351883
+12 0 0 0 0 18 24 58 0.282643010794454
+12 0 0 0 0 18 24 60 0.0250520621808693
+12 0 0 0 0 18 24 62 -0.236964808005164
+12 0 0 0 0 18 24 64 -0.457995230719109
+12 0 0 0 0 18 24 66 -0.599834516037276
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3.log b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3.log
new file mode 100644
index 000000000..d35e6e0f9
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3.log
@@ -0,0 +1,173 @@
+--------------------------------------------------------------------------------
+
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+
+Cactus version: 4.0.b11
+Compile date: Nov 30 2001 (15:23:02)
+Run date: Dec 3 2001 (11:32:02)
+Run host: lilypond.tat.physik.uni-tuebingen.de
+Parameter file: /home/eschnett/Calpha/Cactus/arrangements/Carpet/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3.par
+--------------------------------------------------------------------------------
+
+Activating thorn Cactus...Success -> active implementation Cactus
+Activation requested for
+--->Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetSlab IDSpaceTimeToy SpaceTimeToy IDHydroToy HydroToy<---
+Activating thorn Boundary...Success -> active implementation boundary
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn HydroToy...Success -> active implementation hydrotoy
+Activating thorn IDHydroToy...Success -> active implementation idhydrotoy
+Activating thorn IDSpaceTimeToy...Success -> active implementation idspacetimetoy
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn SpaceTimeToy...Success -> active implementation spacetimetoy
+Activating thorn Time...Success -> active implementation time
+--------------------------------------------------------------------------------
+ if (recover)
+ Recover parameters
+ endif
+
+ Startup routines
+ Carpet: Startup routine
+ IOUtil: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ HydroToy: Register banner
+ IDHydroToy: Register banner
+ IDSpaceTimeToy: Register banner
+ IOBasic: Startup routine
+ CarpetIOASCII: Startup routine
+ SpaceTimeToy: Register banner
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ HydroToy: Schedule symmetries
+ SpaceTimeToy: Schedule symmetries
+ Time: Initialise Time variables
+ Time: Set timestep based on Courant condition
+ IDHydroToy: Initial data for 3D wave equation
+ IDSpaceTimeToy: Initial data for 3D wave equation
+ if (recover)
+ endif
+ if (checkpoint initial data)
+ endif
+ if (analysis)
+ endif
+
+ do loop over timesteps
+ Rotate timelevels
+ iteration = iteration + 1
+ t = t+dt
+ HydroToy: Euler predictor step
+ SpaceTimeToy: Initial Euler step
+ while (SpaceTimeToy::do_iterate)
+ SpaceTimeToy: One ICN step
+ end while
+ HydroToy: Euler corrector step
+ if (checkpoint)
+ endif
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+HydroToy: Evolutions of a Scalar and a Vector Field
+--------------------------------------------------------------------------------
+IDHydroToy: Initial data for a Scalar and a Vector Field
+--------------------------------------------------------------------------------
+IDSpaceTimeToy: Initial data for two Scalar Fields
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+SpaceTimeToy: Evolutions of two Scalar Fields
+--------------------------------------------------------------------------------
+
+INFO (Carpet): Carpet is running on 1 processors
+INFO (IOBasic): I/O Method 'Scalar' registered
+INFO (IOBasic): Scalar: Output of scalar quantities (grid scalars, reductions) to ASCII files
+INFO (IOBasic): I/O Method 'Info' registered
+INFO (IOBasic): Info: Output of scalar quantities (grid scalars, reductions) to screen
+INFO (Cart3d): Cartesian coordinates:
+INFO (Cart3d): Whole grid: lower bound [-5.4, -7.2, -9.6]
+INFO (Cart3d): Whole grid: upper bound [5.4, 7.8, 10.2]
+INFO (Cart3d): Whole grid: extent [11.4, 15.6, 20.4]
+INFO (Cart3d): Interior: lower bound [-4.2, -6, -8.4]
+INFO (Cart3d): Interior: upper bound [4.2, 6.6, 9]
+INFO (Cart3d): Interior: extent [9, 13.2, 18]
+INFO (Cart3d): Grid spacing: [0.6, 0.6, 0.6]
+INFO (IOBasic): Scalar: Output every -1 iterations
+INFO (IOBasic): Info: Output every 1 iterations
+------------------
+ it | |
+ | t |
+------------------
+ 0 | 0.000 |
+ 0 | 0.000 |
+ 0 | 0.000 |
+ 1 | 0.075 |
+ 2 | 0.150 |
+ 2 | 0.150 |
+ 3 | 0.225 |
+ 4 | 0.300 |
+ 4 | 0.300 |
+ 4 | 0.300 |
+ 5 | 0.375 |
+ 6 | 0.450 |
+ 6 | 0.450 |
+ 7 | 0.525 |
+ 8 | 0.600 |
+ 8 | 0.600 |
+ 8 | 0.600 |
+ 9 | 0.675 |
+ 10 | 0.750 |
+ 10 | 0.750 |
+ 11 | 0.825 |
+ 12 | 0.900 |
+ 12 | 0.900 |
+ 12 | 0.900 |
+ 13 | 0.975 |
+ 14 | 1.050 |
+ 14 | 1.050 |
+ 15 | 1.125 |
+ 16 | 1.200 |
+ 16 | 1.200 |
+ 16 | 1.200 |
+ 17 | 1.275 |
+ 18 | 1.350 |
+ 18 | 1.350 |
+ 19 | 1.425 |
+ 20 | 1.500 |
+ 20 | 1.500 |
+ 20 | 1.500 |
+ 21 | 1.575 |
+ 22 | 1.650 |
+ 22 | 1.650 |
+ 23 | 1.725 |
+ 24 | 1.800 |
+ 24 | 1.800 |
+ 24 | 1.800 |
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3.par b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3.par
new file mode 100644
index 000000000..eac7cfa2e
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3.par
@@ -0,0 +1,60 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3.par,v 1.4 2004/03/23 12:00:15 schnetter Exp $
+
+!DESC "DoubleToy with periodic boundaries, 2 refinement levels"
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDSpaceTimeToy SpaceTimeToy IDHydroToy HydroToy"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 24
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "doubletoy_periodic_coarse_rl3"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "spacetimetoy::spacetimeevolve hydrotoy::hydroevolve grid::coordinates"
+
+SpaceTimeToy::icn_iterations = 2
+SpaceTimeToy::bound = radiation
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDSpaceTimeToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDSpaceTimeToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
+
+HydroToy::bound = radiation
+
+IDHydroToy::initial_data = plane
+IDHydroToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDHydroToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDHydroToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_x.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_x.xl
new file mode 100644
index 000000000..35dd3bbb1
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_x.xl
@@ -0,0 +1,1082 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 -1.35
+0 0 2 0 0 28 48 64 -1.2
+0 0 2 0 0 29 48 64 -1.05
+0 0 2 0 0 30 48 64 -0.9
+0 0 2 0 0 31 48 64 -0.75
+0 0 2 0 0 32 48 64 -0.6
+0 0 2 0 0 33 48 64 -0.45
+0 0 2 0 0 34 48 64 -0.3
+0 0 2 0 0 35 48 64 -0.15
+0 0 2 0 0 36 48 64 4.44089209850063e-16
+0 0 2 0 0 37 48 64 0.15
+0 0 2 0 0 38 48 64 0.3
+0 0 2 0 0 39 48 64 0.450000000000001
+0 0 2 0 0 40 48 64 0.600000000000001
+0 0 2 0 0 41 48 64 0.750000000000001
+0 0 2 0 0 42 48 64 0.900000000000001
+0 0 2 0 0 43 48 64 1.05
+0 0 2 0 0 44 48 64 1.2
+0 0 2 0 0 45 48 64 1.35
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -2.7
+0 0 1 0 0 20 48 64 -2.4
+0 0 1 0 0 22 48 64 -2.1
+0 0 1 0 0 24 48 64 -1.8
+0 0 1 0 0 26 48 64 -1.5
+0 0 1 0 0 28 48 64 -1.2
+0 0 1 0 0 30 48 64 -0.9
+0 0 1 0 0 32 48 64 -0.6
+0 0 1 0 0 34 48 64 -0.3
+0 0 1 0 0 36 48 64 4.44089209850063e-16
+0 0 1 0 0 38 48 64 0.3
+0 0 1 0 0 40 48 64 0.600000000000001
+0 0 1 0 0 42 48 64 0.900000000000001
+0 0 1 0 0 44 48 64 1.2
+0 0 1 0 0 46 48 64 1.5
+0 0 1 0 0 48 48 64 1.8
+0 0 1 0 0 50 48 64 2.1
+0 0 1 0 0 52 48 64 2.4
+0 0 1 0 0 54 48 64 2.7
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -5.4
+0 0 0 0 0 4 48 64 -4.8
+0 0 0 0 0 8 48 64 -4.2
+0 0 0 0 0 12 48 64 -3.6
+0 0 0 0 0 16 48 64 -3
+0 0 0 0 0 20 48 64 -2.4
+0 0 0 0 0 24 48 64 -1.8
+0 0 0 0 0 28 48 64 -1.2
+0 0 0 0 0 32 48 64 -0.6
+0 0 0 0 0 36 48 64 4.44089209850063e-16
+0 0 0 0 0 40 48 64 0.600000000000001
+0 0 0 0 0 44 48 64 1.2
+0 0 0 0 0 48 48 64 1.8
+0 0 0 0 0 52 48 64 2.4
+0 0 0 0 0 56 48 64 3
+0 0 0 0 0 60 48 64 3.6
+0 0 0 0 0 64 48 64 4.2
+0 0 0 0 0 68 48 64 4.8
+0 0 0 0 0 72 48 64 5.4
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 -1.35
+1 0 2 0 0 28 48 64 -1.2
+1 0 2 0 0 29 48 64 -1.05
+1 0 2 0 0 30 48 64 -0.9
+1 0 2 0 0 31 48 64 -0.75
+1 0 2 0 0 32 48 64 -0.6
+1 0 2 0 0 33 48 64 -0.45
+1 0 2 0 0 34 48 64 -0.3
+1 0 2 0 0 35 48 64 -0.15
+1 0 2 0 0 36 48 64 4.44089209850063e-16
+1 0 2 0 0 37 48 64 0.15
+1 0 2 0 0 38 48 64 0.3
+1 0 2 0 0 39 48 64 0.450000000000001
+1 0 2 0 0 40 48 64 0.600000000000001
+1 0 2 0 0 41 48 64 0.750000000000001
+1 0 2 0 0 42 48 64 0.900000000000001
+1 0 2 0 0 43 48 64 1.05
+1 0 2 0 0 44 48 64 1.2
+1 0 2 0 0 45 48 64 1.35
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 -1.35
+2 0 2 0 0 28 48 64 -1.2
+2 0 2 0 0 29 48 64 -1.05
+2 0 2 0 0 30 48 64 -0.9
+2 0 2 0 0 31 48 64 -0.75
+2 0 2 0 0 32 48 64 -0.6
+2 0 2 0 0 33 48 64 -0.45
+2 0 2 0 0 34 48 64 -0.3
+2 0 2 0 0 35 48 64 -0.15
+2 0 2 0 0 36 48 64 4.44089209850063e-16
+2 0 2 0 0 37 48 64 0.15
+2 0 2 0 0 38 48 64 0.3
+2 0 2 0 0 39 48 64 0.450000000000001
+2 0 2 0 0 40 48 64 0.600000000000001
+2 0 2 0 0 41 48 64 0.750000000000001
+2 0 2 0 0 42 48 64 0.900000000000001
+2 0 2 0 0 43 48 64 1.05
+2 0 2 0 0 44 48 64 1.2
+2 0 2 0 0 45 48 64 1.35
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -2.7
+2 0 1 0 0 20 48 64 -2.4
+2 0 1 0 0 22 48 64 -2.1
+2 0 1 0 0 24 48 64 -1.8
+2 0 1 0 0 26 48 64 -1.5
+2 0 1 0 0 28 48 64 -1.2
+2 0 1 0 0 30 48 64 -0.9
+2 0 1 0 0 32 48 64 -0.6
+2 0 1 0 0 34 48 64 -0.3
+2 0 1 0 0 36 48 64 4.44089209850063e-16
+2 0 1 0 0 38 48 64 0.3
+2 0 1 0 0 40 48 64 0.600000000000001
+2 0 1 0 0 42 48 64 0.900000000000001
+2 0 1 0 0 44 48 64 1.2
+2 0 1 0 0 46 48 64 1.5
+2 0 1 0 0 48 48 64 1.8
+2 0 1 0 0 50 48 64 2.1
+2 0 1 0 0 52 48 64 2.4
+2 0 1 0 0 54 48 64 2.7
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 -1.35
+3 0 2 0 0 28 48 64 -1.2
+3 0 2 0 0 29 48 64 -1.05
+3 0 2 0 0 30 48 64 -0.9
+3 0 2 0 0 31 48 64 -0.75
+3 0 2 0 0 32 48 64 -0.6
+3 0 2 0 0 33 48 64 -0.45
+3 0 2 0 0 34 48 64 -0.3
+3 0 2 0 0 35 48 64 -0.15
+3 0 2 0 0 36 48 64 4.44089209850063e-16
+3 0 2 0 0 37 48 64 0.15
+3 0 2 0 0 38 48 64 0.3
+3 0 2 0 0 39 48 64 0.450000000000001
+3 0 2 0 0 40 48 64 0.600000000000001
+3 0 2 0 0 41 48 64 0.750000000000001
+3 0 2 0 0 42 48 64 0.900000000000001
+3 0 2 0 0 43 48 64 1.05
+3 0 2 0 0 44 48 64 1.2
+3 0 2 0 0 45 48 64 1.35
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 -1.35
+4 0 2 0 0 28 48 64 -1.2
+4 0 2 0 0 29 48 64 -1.05
+4 0 2 0 0 30 48 64 -0.9
+4 0 2 0 0 31 48 64 -0.75
+4 0 2 0 0 32 48 64 -0.6
+4 0 2 0 0 33 48 64 -0.45
+4 0 2 0 0 34 48 64 -0.3
+4 0 2 0 0 35 48 64 -0.15
+4 0 2 0 0 36 48 64 4.44089209850063e-16
+4 0 2 0 0 37 48 64 0.15
+4 0 2 0 0 38 48 64 0.3
+4 0 2 0 0 39 48 64 0.450000000000001
+4 0 2 0 0 40 48 64 0.600000000000001
+4 0 2 0 0 41 48 64 0.750000000000001
+4 0 2 0 0 42 48 64 0.900000000000001
+4 0 2 0 0 43 48 64 1.05
+4 0 2 0 0 44 48 64 1.2
+4 0 2 0 0 45 48 64 1.35
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 -2.7
+4 0 1 0 0 20 48 64 -2.4
+4 0 1 0 0 22 48 64 -2.1
+4 0 1 0 0 24 48 64 -1.8
+4 0 1 0 0 26 48 64 -1.5
+4 0 1 0 0 28 48 64 -1.2
+4 0 1 0 0 30 48 64 -0.9
+4 0 1 0 0 32 48 64 -0.6
+4 0 1 0 0 34 48 64 -0.3
+4 0 1 0 0 36 48 64 4.44089209850063e-16
+4 0 1 0 0 38 48 64 0.3
+4 0 1 0 0 40 48 64 0.600000000000001
+4 0 1 0 0 42 48 64 0.900000000000001
+4 0 1 0 0 44 48 64 1.2
+4 0 1 0 0 46 48 64 1.5
+4 0 1 0 0 48 48 64 1.8
+4 0 1 0 0 50 48 64 2.1
+4 0 1 0 0 52 48 64 2.4
+4 0 1 0 0 54 48 64 2.7
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -5.4
+4 0 0 0 0 4 48 64 -4.8
+4 0 0 0 0 8 48 64 -4.2
+4 0 0 0 0 12 48 64 -3.6
+4 0 0 0 0 16 48 64 -3
+4 0 0 0 0 20 48 64 -2.4
+4 0 0 0 0 24 48 64 -1.8
+4 0 0 0 0 28 48 64 -1.2
+4 0 0 0 0 32 48 64 -0.6
+4 0 0 0 0 36 48 64 4.44089209850063e-16
+4 0 0 0 0 40 48 64 0.600000000000001
+4 0 0 0 0 44 48 64 1.2
+4 0 0 0 0 48 48 64 1.8
+4 0 0 0 0 52 48 64 2.4
+4 0 0 0 0 56 48 64 3
+4 0 0 0 0 60 48 64 3.6
+4 0 0 0 0 64 48 64 4.2
+4 0 0 0 0 68 48 64 4.8
+4 0 0 0 0 72 48 64 5.4
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 -1.35
+5 0 2 0 0 28 48 64 -1.2
+5 0 2 0 0 29 48 64 -1.05
+5 0 2 0 0 30 48 64 -0.9
+5 0 2 0 0 31 48 64 -0.75
+5 0 2 0 0 32 48 64 -0.6
+5 0 2 0 0 33 48 64 -0.45
+5 0 2 0 0 34 48 64 -0.3
+5 0 2 0 0 35 48 64 -0.15
+5 0 2 0 0 36 48 64 4.44089209850063e-16
+5 0 2 0 0 37 48 64 0.15
+5 0 2 0 0 38 48 64 0.3
+5 0 2 0 0 39 48 64 0.450000000000001
+5 0 2 0 0 40 48 64 0.600000000000001
+5 0 2 0 0 41 48 64 0.750000000000001
+5 0 2 0 0 42 48 64 0.900000000000001
+5 0 2 0 0 43 48 64 1.05
+5 0 2 0 0 44 48 64 1.2
+5 0 2 0 0 45 48 64 1.35
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 -1.35
+6 0 2 0 0 28 48 64 -1.2
+6 0 2 0 0 29 48 64 -1.05
+6 0 2 0 0 30 48 64 -0.9
+6 0 2 0 0 31 48 64 -0.75
+6 0 2 0 0 32 48 64 -0.6
+6 0 2 0 0 33 48 64 -0.45
+6 0 2 0 0 34 48 64 -0.3
+6 0 2 0 0 35 48 64 -0.15
+6 0 2 0 0 36 48 64 4.44089209850063e-16
+6 0 2 0 0 37 48 64 0.15
+6 0 2 0 0 38 48 64 0.3
+6 0 2 0 0 39 48 64 0.450000000000001
+6 0 2 0 0 40 48 64 0.600000000000001
+6 0 2 0 0 41 48 64 0.750000000000001
+6 0 2 0 0 42 48 64 0.900000000000001
+6 0 2 0 0 43 48 64 1.05
+6 0 2 0 0 44 48 64 1.2
+6 0 2 0 0 45 48 64 1.35
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 -2.7
+6 0 1 0 0 20 48 64 -2.4
+6 0 1 0 0 22 48 64 -2.1
+6 0 1 0 0 24 48 64 -1.8
+6 0 1 0 0 26 48 64 -1.5
+6 0 1 0 0 28 48 64 -1.2
+6 0 1 0 0 30 48 64 -0.9
+6 0 1 0 0 32 48 64 -0.6
+6 0 1 0 0 34 48 64 -0.3
+6 0 1 0 0 36 48 64 4.44089209850063e-16
+6 0 1 0 0 38 48 64 0.3
+6 0 1 0 0 40 48 64 0.600000000000001
+6 0 1 0 0 42 48 64 0.900000000000001
+6 0 1 0 0 44 48 64 1.2
+6 0 1 0 0 46 48 64 1.5
+6 0 1 0 0 48 48 64 1.8
+6 0 1 0 0 50 48 64 2.1
+6 0 1 0 0 52 48 64 2.4
+6 0 1 0 0 54 48 64 2.7
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 -1.35
+7 0 2 0 0 28 48 64 -1.2
+7 0 2 0 0 29 48 64 -1.05
+7 0 2 0 0 30 48 64 -0.9
+7 0 2 0 0 31 48 64 -0.75
+7 0 2 0 0 32 48 64 -0.6
+7 0 2 0 0 33 48 64 -0.45
+7 0 2 0 0 34 48 64 -0.3
+7 0 2 0 0 35 48 64 -0.15
+7 0 2 0 0 36 48 64 4.44089209850063e-16
+7 0 2 0 0 37 48 64 0.15
+7 0 2 0 0 38 48 64 0.3
+7 0 2 0 0 39 48 64 0.450000000000001
+7 0 2 0 0 40 48 64 0.600000000000001
+7 0 2 0 0 41 48 64 0.750000000000001
+7 0 2 0 0 42 48 64 0.900000000000001
+7 0 2 0 0 43 48 64 1.05
+7 0 2 0 0 44 48 64 1.2
+7 0 2 0 0 45 48 64 1.35
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 -1.35
+8 0 2 0 0 28 48 64 -1.2
+8 0 2 0 0 29 48 64 -1.05
+8 0 2 0 0 30 48 64 -0.9
+8 0 2 0 0 31 48 64 -0.75
+8 0 2 0 0 32 48 64 -0.6
+8 0 2 0 0 33 48 64 -0.45
+8 0 2 0 0 34 48 64 -0.3
+8 0 2 0 0 35 48 64 -0.15
+8 0 2 0 0 36 48 64 4.44089209850063e-16
+8 0 2 0 0 37 48 64 0.15
+8 0 2 0 0 38 48 64 0.3
+8 0 2 0 0 39 48 64 0.450000000000001
+8 0 2 0 0 40 48 64 0.600000000000001
+8 0 2 0 0 41 48 64 0.750000000000001
+8 0 2 0 0 42 48 64 0.900000000000001
+8 0 2 0 0 43 48 64 1.05
+8 0 2 0 0 44 48 64 1.2
+8 0 2 0 0 45 48 64 1.35
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 -2.7
+8 0 1 0 0 20 48 64 -2.4
+8 0 1 0 0 22 48 64 -2.1
+8 0 1 0 0 24 48 64 -1.8
+8 0 1 0 0 26 48 64 -1.5
+8 0 1 0 0 28 48 64 -1.2
+8 0 1 0 0 30 48 64 -0.9
+8 0 1 0 0 32 48 64 -0.6
+8 0 1 0 0 34 48 64 -0.3
+8 0 1 0 0 36 48 64 4.44089209850063e-16
+8 0 1 0 0 38 48 64 0.3
+8 0 1 0 0 40 48 64 0.600000000000001
+8 0 1 0 0 42 48 64 0.900000000000001
+8 0 1 0 0 44 48 64 1.2
+8 0 1 0 0 46 48 64 1.5
+8 0 1 0 0 48 48 64 1.8
+8 0 1 0 0 50 48 64 2.1
+8 0 1 0 0 52 48 64 2.4
+8 0 1 0 0 54 48 64 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -5.4
+8 0 0 0 0 4 48 64 -4.8
+8 0 0 0 0 8 48 64 -4.2
+8 0 0 0 0 12 48 64 -3.6
+8 0 0 0 0 16 48 64 -3
+8 0 0 0 0 20 48 64 -2.4
+8 0 0 0 0 24 48 64 -1.8
+8 0 0 0 0 28 48 64 -1.2
+8 0 0 0 0 32 48 64 -0.6
+8 0 0 0 0 36 48 64 4.44089209850063e-16
+8 0 0 0 0 40 48 64 0.600000000000001
+8 0 0 0 0 44 48 64 1.2
+8 0 0 0 0 48 48 64 1.8
+8 0 0 0 0 52 48 64 2.4
+8 0 0 0 0 56 48 64 3
+8 0 0 0 0 60 48 64 3.6
+8 0 0 0 0 64 48 64 4.2
+8 0 0 0 0 68 48 64 4.8
+8 0 0 0 0 72 48 64 5.4
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 -1.35
+9 0 2 0 0 28 48 64 -1.2
+9 0 2 0 0 29 48 64 -1.05
+9 0 2 0 0 30 48 64 -0.9
+9 0 2 0 0 31 48 64 -0.75
+9 0 2 0 0 32 48 64 -0.6
+9 0 2 0 0 33 48 64 -0.45
+9 0 2 0 0 34 48 64 -0.3
+9 0 2 0 0 35 48 64 -0.15
+9 0 2 0 0 36 48 64 4.44089209850063e-16
+9 0 2 0 0 37 48 64 0.15
+9 0 2 0 0 38 48 64 0.3
+9 0 2 0 0 39 48 64 0.450000000000001
+9 0 2 0 0 40 48 64 0.600000000000001
+9 0 2 0 0 41 48 64 0.750000000000001
+9 0 2 0 0 42 48 64 0.900000000000001
+9 0 2 0 0 43 48 64 1.05
+9 0 2 0 0 44 48 64 1.2
+9 0 2 0 0 45 48 64 1.35
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 -1.35
+10 0 2 0 0 28 48 64 -1.2
+10 0 2 0 0 29 48 64 -1.05
+10 0 2 0 0 30 48 64 -0.9
+10 0 2 0 0 31 48 64 -0.75
+10 0 2 0 0 32 48 64 -0.6
+10 0 2 0 0 33 48 64 -0.45
+10 0 2 0 0 34 48 64 -0.3
+10 0 2 0 0 35 48 64 -0.15
+10 0 2 0 0 36 48 64 4.44089209850063e-16
+10 0 2 0 0 37 48 64 0.15
+10 0 2 0 0 38 48 64 0.3
+10 0 2 0 0 39 48 64 0.450000000000001
+10 0 2 0 0 40 48 64 0.600000000000001
+10 0 2 0 0 41 48 64 0.750000000000001
+10 0 2 0 0 42 48 64 0.900000000000001
+10 0 2 0 0 43 48 64 1.05
+10 0 2 0 0 44 48 64 1.2
+10 0 2 0 0 45 48 64 1.35
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 -2.7
+10 0 1 0 0 20 48 64 -2.4
+10 0 1 0 0 22 48 64 -2.1
+10 0 1 0 0 24 48 64 -1.8
+10 0 1 0 0 26 48 64 -1.5
+10 0 1 0 0 28 48 64 -1.2
+10 0 1 0 0 30 48 64 -0.9
+10 0 1 0 0 32 48 64 -0.6
+10 0 1 0 0 34 48 64 -0.3
+10 0 1 0 0 36 48 64 4.44089209850063e-16
+10 0 1 0 0 38 48 64 0.3
+10 0 1 0 0 40 48 64 0.600000000000001
+10 0 1 0 0 42 48 64 0.900000000000001
+10 0 1 0 0 44 48 64 1.2
+10 0 1 0 0 46 48 64 1.5
+10 0 1 0 0 48 48 64 1.8
+10 0 1 0 0 50 48 64 2.1
+10 0 1 0 0 52 48 64 2.4
+10 0 1 0 0 54 48 64 2.7
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 -1.35
+11 0 2 0 0 28 48 64 -1.2
+11 0 2 0 0 29 48 64 -1.05
+11 0 2 0 0 30 48 64 -0.9
+11 0 2 0 0 31 48 64 -0.75
+11 0 2 0 0 32 48 64 -0.6
+11 0 2 0 0 33 48 64 -0.45
+11 0 2 0 0 34 48 64 -0.3
+11 0 2 0 0 35 48 64 -0.15
+11 0 2 0 0 36 48 64 4.44089209850063e-16
+11 0 2 0 0 37 48 64 0.15
+11 0 2 0 0 38 48 64 0.3
+11 0 2 0 0 39 48 64 0.450000000000001
+11 0 2 0 0 40 48 64 0.600000000000001
+11 0 2 0 0 41 48 64 0.750000000000001
+11 0 2 0 0 42 48 64 0.900000000000001
+11 0 2 0 0 43 48 64 1.05
+11 0 2 0 0 44 48 64 1.2
+11 0 2 0 0 45 48 64 1.35
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 -1.35
+12 0 2 0 0 28 48 64 -1.2
+12 0 2 0 0 29 48 64 -1.05
+12 0 2 0 0 30 48 64 -0.9
+12 0 2 0 0 31 48 64 -0.75
+12 0 2 0 0 32 48 64 -0.6
+12 0 2 0 0 33 48 64 -0.45
+12 0 2 0 0 34 48 64 -0.3
+12 0 2 0 0 35 48 64 -0.15
+12 0 2 0 0 36 48 64 4.44089209850063e-16
+12 0 2 0 0 37 48 64 0.15
+12 0 2 0 0 38 48 64 0.3
+12 0 2 0 0 39 48 64 0.450000000000001
+12 0 2 0 0 40 48 64 0.600000000000001
+12 0 2 0 0 41 48 64 0.750000000000001
+12 0 2 0 0 42 48 64 0.900000000000001
+12 0 2 0 0 43 48 64 1.05
+12 0 2 0 0 44 48 64 1.2
+12 0 2 0 0 45 48 64 1.35
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 -2.7
+12 0 1 0 0 20 48 64 -2.4
+12 0 1 0 0 22 48 64 -2.1
+12 0 1 0 0 24 48 64 -1.8
+12 0 1 0 0 26 48 64 -1.5
+12 0 1 0 0 28 48 64 -1.2
+12 0 1 0 0 30 48 64 -0.9
+12 0 1 0 0 32 48 64 -0.6
+12 0 1 0 0 34 48 64 -0.3
+12 0 1 0 0 36 48 64 4.44089209850063e-16
+12 0 1 0 0 38 48 64 0.3
+12 0 1 0 0 40 48 64 0.600000000000001
+12 0 1 0 0 42 48 64 0.900000000000001
+12 0 1 0 0 44 48 64 1.2
+12 0 1 0 0 46 48 64 1.5
+12 0 1 0 0 48 48 64 1.8
+12 0 1 0 0 50 48 64 2.1
+12 0 1 0 0 52 48 64 2.4
+12 0 1 0 0 54 48 64 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -5.4
+12 0 0 0 0 4 48 64 -4.8
+12 0 0 0 0 8 48 64 -4.2
+12 0 0 0 0 12 48 64 -3.6
+12 0 0 0 0 16 48 64 -3
+12 0 0 0 0 20 48 64 -2.4
+12 0 0 0 0 24 48 64 -1.8
+12 0 0 0 0 28 48 64 -1.2
+12 0 0 0 0 32 48 64 -0.6
+12 0 0 0 0 36 48 64 4.44089209850063e-16
+12 0 0 0 0 40 48 64 0.600000000000001
+12 0 0 0 0 44 48 64 1.2
+12 0 0 0 0 48 48 64 1.8
+12 0 0 0 0 52 48 64 2.4
+12 0 0 0 0 56 48 64 3
+12 0 0 0 0 60 48 64 3.6
+12 0 0 0 0 64 48 64 4.2
+12 0 0 0 0 68 48 64 4.8
+12 0 0 0 0 72 48 64 5.4
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 -1.35
+13 0 2 0 0 28 48 64 -1.2
+13 0 2 0 0 29 48 64 -1.05
+13 0 2 0 0 30 48 64 -0.9
+13 0 2 0 0 31 48 64 -0.75
+13 0 2 0 0 32 48 64 -0.6
+13 0 2 0 0 33 48 64 -0.45
+13 0 2 0 0 34 48 64 -0.3
+13 0 2 0 0 35 48 64 -0.15
+13 0 2 0 0 36 48 64 4.44089209850063e-16
+13 0 2 0 0 37 48 64 0.15
+13 0 2 0 0 38 48 64 0.3
+13 0 2 0 0 39 48 64 0.450000000000001
+13 0 2 0 0 40 48 64 0.600000000000001
+13 0 2 0 0 41 48 64 0.750000000000001
+13 0 2 0 0 42 48 64 0.900000000000001
+13 0 2 0 0 43 48 64 1.05
+13 0 2 0 0 44 48 64 1.2
+13 0 2 0 0 45 48 64 1.35
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 -1.35
+14 0 2 0 0 28 48 64 -1.2
+14 0 2 0 0 29 48 64 -1.05
+14 0 2 0 0 30 48 64 -0.9
+14 0 2 0 0 31 48 64 -0.75
+14 0 2 0 0 32 48 64 -0.6
+14 0 2 0 0 33 48 64 -0.45
+14 0 2 0 0 34 48 64 -0.3
+14 0 2 0 0 35 48 64 -0.15
+14 0 2 0 0 36 48 64 4.44089209850063e-16
+14 0 2 0 0 37 48 64 0.15
+14 0 2 0 0 38 48 64 0.3
+14 0 2 0 0 39 48 64 0.450000000000001
+14 0 2 0 0 40 48 64 0.600000000000001
+14 0 2 0 0 41 48 64 0.750000000000001
+14 0 2 0 0 42 48 64 0.900000000000001
+14 0 2 0 0 43 48 64 1.05
+14 0 2 0 0 44 48 64 1.2
+14 0 2 0 0 45 48 64 1.35
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 -2.7
+14 0 1 0 0 20 48 64 -2.4
+14 0 1 0 0 22 48 64 -2.1
+14 0 1 0 0 24 48 64 -1.8
+14 0 1 0 0 26 48 64 -1.5
+14 0 1 0 0 28 48 64 -1.2
+14 0 1 0 0 30 48 64 -0.9
+14 0 1 0 0 32 48 64 -0.6
+14 0 1 0 0 34 48 64 -0.3
+14 0 1 0 0 36 48 64 4.44089209850063e-16
+14 0 1 0 0 38 48 64 0.3
+14 0 1 0 0 40 48 64 0.600000000000001
+14 0 1 0 0 42 48 64 0.900000000000001
+14 0 1 0 0 44 48 64 1.2
+14 0 1 0 0 46 48 64 1.5
+14 0 1 0 0 48 48 64 1.8
+14 0 1 0 0 50 48 64 2.1
+14 0 1 0 0 52 48 64 2.4
+14 0 1 0 0 54 48 64 2.7
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 -1.35
+15 0 2 0 0 28 48 64 -1.2
+15 0 2 0 0 29 48 64 -1.05
+15 0 2 0 0 30 48 64 -0.9
+15 0 2 0 0 31 48 64 -0.75
+15 0 2 0 0 32 48 64 -0.6
+15 0 2 0 0 33 48 64 -0.45
+15 0 2 0 0 34 48 64 -0.3
+15 0 2 0 0 35 48 64 -0.15
+15 0 2 0 0 36 48 64 4.44089209850063e-16
+15 0 2 0 0 37 48 64 0.15
+15 0 2 0 0 38 48 64 0.3
+15 0 2 0 0 39 48 64 0.450000000000001
+15 0 2 0 0 40 48 64 0.600000000000001
+15 0 2 0 0 41 48 64 0.750000000000001
+15 0 2 0 0 42 48 64 0.900000000000001
+15 0 2 0 0 43 48 64 1.05
+15 0 2 0 0 44 48 64 1.2
+15 0 2 0 0 45 48 64 1.35
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 -1.35
+16 0 2 0 0 28 48 64 -1.2
+16 0 2 0 0 29 48 64 -1.05
+16 0 2 0 0 30 48 64 -0.9
+16 0 2 0 0 31 48 64 -0.75
+16 0 2 0 0 32 48 64 -0.6
+16 0 2 0 0 33 48 64 -0.45
+16 0 2 0 0 34 48 64 -0.3
+16 0 2 0 0 35 48 64 -0.15
+16 0 2 0 0 36 48 64 4.44089209850063e-16
+16 0 2 0 0 37 48 64 0.15
+16 0 2 0 0 38 48 64 0.3
+16 0 2 0 0 39 48 64 0.450000000000001
+16 0 2 0 0 40 48 64 0.600000000000001
+16 0 2 0 0 41 48 64 0.750000000000001
+16 0 2 0 0 42 48 64 0.900000000000001
+16 0 2 0 0 43 48 64 1.05
+16 0 2 0 0 44 48 64 1.2
+16 0 2 0 0 45 48 64 1.35
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 -2.7
+16 0 1 0 0 20 48 64 -2.4
+16 0 1 0 0 22 48 64 -2.1
+16 0 1 0 0 24 48 64 -1.8
+16 0 1 0 0 26 48 64 -1.5
+16 0 1 0 0 28 48 64 -1.2
+16 0 1 0 0 30 48 64 -0.9
+16 0 1 0 0 32 48 64 -0.6
+16 0 1 0 0 34 48 64 -0.3
+16 0 1 0 0 36 48 64 4.44089209850063e-16
+16 0 1 0 0 38 48 64 0.3
+16 0 1 0 0 40 48 64 0.600000000000001
+16 0 1 0 0 42 48 64 0.900000000000001
+16 0 1 0 0 44 48 64 1.2
+16 0 1 0 0 46 48 64 1.5
+16 0 1 0 0 48 48 64 1.8
+16 0 1 0 0 50 48 64 2.1
+16 0 1 0 0 52 48 64 2.4
+16 0 1 0 0 54 48 64 2.7
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -5.4
+16 0 0 0 0 4 48 64 -4.8
+16 0 0 0 0 8 48 64 -4.2
+16 0 0 0 0 12 48 64 -3.6
+16 0 0 0 0 16 48 64 -3
+16 0 0 0 0 20 48 64 -2.4
+16 0 0 0 0 24 48 64 -1.8
+16 0 0 0 0 28 48 64 -1.2
+16 0 0 0 0 32 48 64 -0.6
+16 0 0 0 0 36 48 64 4.44089209850063e-16
+16 0 0 0 0 40 48 64 0.600000000000001
+16 0 0 0 0 44 48 64 1.2
+16 0 0 0 0 48 48 64 1.8
+16 0 0 0 0 52 48 64 2.4
+16 0 0 0 0 56 48 64 3
+16 0 0 0 0 60 48 64 3.6
+16 0 0 0 0 64 48 64 4.2
+16 0 0 0 0 68 48 64 4.8
+16 0 0 0 0 72 48 64 5.4
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 -1.35
+17 0 2 0 0 28 48 64 -1.2
+17 0 2 0 0 29 48 64 -1.05
+17 0 2 0 0 30 48 64 -0.9
+17 0 2 0 0 31 48 64 -0.75
+17 0 2 0 0 32 48 64 -0.6
+17 0 2 0 0 33 48 64 -0.45
+17 0 2 0 0 34 48 64 -0.3
+17 0 2 0 0 35 48 64 -0.15
+17 0 2 0 0 36 48 64 4.44089209850063e-16
+17 0 2 0 0 37 48 64 0.15
+17 0 2 0 0 38 48 64 0.3
+17 0 2 0 0 39 48 64 0.450000000000001
+17 0 2 0 0 40 48 64 0.600000000000001
+17 0 2 0 0 41 48 64 0.750000000000001
+17 0 2 0 0 42 48 64 0.900000000000001
+17 0 2 0 0 43 48 64 1.05
+17 0 2 0 0 44 48 64 1.2
+17 0 2 0 0 45 48 64 1.35
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 -1.35
+18 0 2 0 0 28 48 64 -1.2
+18 0 2 0 0 29 48 64 -1.05
+18 0 2 0 0 30 48 64 -0.9
+18 0 2 0 0 31 48 64 -0.75
+18 0 2 0 0 32 48 64 -0.6
+18 0 2 0 0 33 48 64 -0.45
+18 0 2 0 0 34 48 64 -0.3
+18 0 2 0 0 35 48 64 -0.15
+18 0 2 0 0 36 48 64 4.44089209850063e-16
+18 0 2 0 0 37 48 64 0.15
+18 0 2 0 0 38 48 64 0.3
+18 0 2 0 0 39 48 64 0.450000000000001
+18 0 2 0 0 40 48 64 0.600000000000001
+18 0 2 0 0 41 48 64 0.750000000000001
+18 0 2 0 0 42 48 64 0.900000000000001
+18 0 2 0 0 43 48 64 1.05
+18 0 2 0 0 44 48 64 1.2
+18 0 2 0 0 45 48 64 1.35
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 -2.7
+18 0 1 0 0 20 48 64 -2.4
+18 0 1 0 0 22 48 64 -2.1
+18 0 1 0 0 24 48 64 -1.8
+18 0 1 0 0 26 48 64 -1.5
+18 0 1 0 0 28 48 64 -1.2
+18 0 1 0 0 30 48 64 -0.9
+18 0 1 0 0 32 48 64 -0.6
+18 0 1 0 0 34 48 64 -0.3
+18 0 1 0 0 36 48 64 4.44089209850063e-16
+18 0 1 0 0 38 48 64 0.3
+18 0 1 0 0 40 48 64 0.600000000000001
+18 0 1 0 0 42 48 64 0.900000000000001
+18 0 1 0 0 44 48 64 1.2
+18 0 1 0 0 46 48 64 1.5
+18 0 1 0 0 48 48 64 1.8
+18 0 1 0 0 50 48 64 2.1
+18 0 1 0 0 52 48 64 2.4
+18 0 1 0 0 54 48 64 2.7
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 -1.35
+19 0 2 0 0 28 48 64 -1.2
+19 0 2 0 0 29 48 64 -1.05
+19 0 2 0 0 30 48 64 -0.9
+19 0 2 0 0 31 48 64 -0.75
+19 0 2 0 0 32 48 64 -0.6
+19 0 2 0 0 33 48 64 -0.45
+19 0 2 0 0 34 48 64 -0.3
+19 0 2 0 0 35 48 64 -0.15
+19 0 2 0 0 36 48 64 4.44089209850063e-16
+19 0 2 0 0 37 48 64 0.15
+19 0 2 0 0 38 48 64 0.3
+19 0 2 0 0 39 48 64 0.450000000000001
+19 0 2 0 0 40 48 64 0.600000000000001
+19 0 2 0 0 41 48 64 0.750000000000001
+19 0 2 0 0 42 48 64 0.900000000000001
+19 0 2 0 0 43 48 64 1.05
+19 0 2 0 0 44 48 64 1.2
+19 0 2 0 0 45 48 64 1.35
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 -1.35
+20 0 2 0 0 28 48 64 -1.2
+20 0 2 0 0 29 48 64 -1.05
+20 0 2 0 0 30 48 64 -0.9
+20 0 2 0 0 31 48 64 -0.75
+20 0 2 0 0 32 48 64 -0.6
+20 0 2 0 0 33 48 64 -0.45
+20 0 2 0 0 34 48 64 -0.3
+20 0 2 0 0 35 48 64 -0.15
+20 0 2 0 0 36 48 64 4.44089209850063e-16
+20 0 2 0 0 37 48 64 0.15
+20 0 2 0 0 38 48 64 0.3
+20 0 2 0 0 39 48 64 0.450000000000001
+20 0 2 0 0 40 48 64 0.600000000000001
+20 0 2 0 0 41 48 64 0.750000000000001
+20 0 2 0 0 42 48 64 0.900000000000001
+20 0 2 0 0 43 48 64 1.05
+20 0 2 0 0 44 48 64 1.2
+20 0 2 0 0 45 48 64 1.35
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 -2.7
+20 0 1 0 0 20 48 64 -2.4
+20 0 1 0 0 22 48 64 -2.1
+20 0 1 0 0 24 48 64 -1.8
+20 0 1 0 0 26 48 64 -1.5
+20 0 1 0 0 28 48 64 -1.2
+20 0 1 0 0 30 48 64 -0.9
+20 0 1 0 0 32 48 64 -0.6
+20 0 1 0 0 34 48 64 -0.3
+20 0 1 0 0 36 48 64 4.44089209850063e-16
+20 0 1 0 0 38 48 64 0.3
+20 0 1 0 0 40 48 64 0.600000000000001
+20 0 1 0 0 42 48 64 0.900000000000001
+20 0 1 0 0 44 48 64 1.2
+20 0 1 0 0 46 48 64 1.5
+20 0 1 0 0 48 48 64 1.8
+20 0 1 0 0 50 48 64 2.1
+20 0 1 0 0 52 48 64 2.4
+20 0 1 0 0 54 48 64 2.7
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -5.4
+20 0 0 0 0 4 48 64 -4.8
+20 0 0 0 0 8 48 64 -4.2
+20 0 0 0 0 12 48 64 -3.6
+20 0 0 0 0 16 48 64 -3
+20 0 0 0 0 20 48 64 -2.4
+20 0 0 0 0 24 48 64 -1.8
+20 0 0 0 0 28 48 64 -1.2
+20 0 0 0 0 32 48 64 -0.6
+20 0 0 0 0 36 48 64 4.44089209850063e-16
+20 0 0 0 0 40 48 64 0.600000000000001
+20 0 0 0 0 44 48 64 1.2
+20 0 0 0 0 48 48 64 1.8
+20 0 0 0 0 52 48 64 2.4
+20 0 0 0 0 56 48 64 3
+20 0 0 0 0 60 48 64 3.6
+20 0 0 0 0 64 48 64 4.2
+20 0 0 0 0 68 48 64 4.8
+20 0 0 0 0 72 48 64 5.4
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 -1.35
+21 0 2 0 0 28 48 64 -1.2
+21 0 2 0 0 29 48 64 -1.05
+21 0 2 0 0 30 48 64 -0.9
+21 0 2 0 0 31 48 64 -0.75
+21 0 2 0 0 32 48 64 -0.6
+21 0 2 0 0 33 48 64 -0.45
+21 0 2 0 0 34 48 64 -0.3
+21 0 2 0 0 35 48 64 -0.15
+21 0 2 0 0 36 48 64 4.44089209850063e-16
+21 0 2 0 0 37 48 64 0.15
+21 0 2 0 0 38 48 64 0.3
+21 0 2 0 0 39 48 64 0.450000000000001
+21 0 2 0 0 40 48 64 0.600000000000001
+21 0 2 0 0 41 48 64 0.750000000000001
+21 0 2 0 0 42 48 64 0.900000000000001
+21 0 2 0 0 43 48 64 1.05
+21 0 2 0 0 44 48 64 1.2
+21 0 2 0 0 45 48 64 1.35
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 -1.35
+22 0 2 0 0 28 48 64 -1.2
+22 0 2 0 0 29 48 64 -1.05
+22 0 2 0 0 30 48 64 -0.9
+22 0 2 0 0 31 48 64 -0.75
+22 0 2 0 0 32 48 64 -0.6
+22 0 2 0 0 33 48 64 -0.45
+22 0 2 0 0 34 48 64 -0.3
+22 0 2 0 0 35 48 64 -0.15
+22 0 2 0 0 36 48 64 4.44089209850063e-16
+22 0 2 0 0 37 48 64 0.15
+22 0 2 0 0 38 48 64 0.3
+22 0 2 0 0 39 48 64 0.450000000000001
+22 0 2 0 0 40 48 64 0.600000000000001
+22 0 2 0 0 41 48 64 0.750000000000001
+22 0 2 0 0 42 48 64 0.900000000000001
+22 0 2 0 0 43 48 64 1.05
+22 0 2 0 0 44 48 64 1.2
+22 0 2 0 0 45 48 64 1.35
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 -2.7
+22 0 1 0 0 20 48 64 -2.4
+22 0 1 0 0 22 48 64 -2.1
+22 0 1 0 0 24 48 64 -1.8
+22 0 1 0 0 26 48 64 -1.5
+22 0 1 0 0 28 48 64 -1.2
+22 0 1 0 0 30 48 64 -0.9
+22 0 1 0 0 32 48 64 -0.6
+22 0 1 0 0 34 48 64 -0.3
+22 0 1 0 0 36 48 64 4.44089209850063e-16
+22 0 1 0 0 38 48 64 0.3
+22 0 1 0 0 40 48 64 0.600000000000001
+22 0 1 0 0 42 48 64 0.900000000000001
+22 0 1 0 0 44 48 64 1.2
+22 0 1 0 0 46 48 64 1.5
+22 0 1 0 0 48 48 64 1.8
+22 0 1 0 0 50 48 64 2.1
+22 0 1 0 0 52 48 64 2.4
+22 0 1 0 0 54 48 64 2.7
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 -1.35
+23 0 2 0 0 28 48 64 -1.2
+23 0 2 0 0 29 48 64 -1.05
+23 0 2 0 0 30 48 64 -0.9
+23 0 2 0 0 31 48 64 -0.75
+23 0 2 0 0 32 48 64 -0.6
+23 0 2 0 0 33 48 64 -0.45
+23 0 2 0 0 34 48 64 -0.3
+23 0 2 0 0 35 48 64 -0.15
+23 0 2 0 0 36 48 64 4.44089209850063e-16
+23 0 2 0 0 37 48 64 0.15
+23 0 2 0 0 38 48 64 0.3
+23 0 2 0 0 39 48 64 0.450000000000001
+23 0 2 0 0 40 48 64 0.600000000000001
+23 0 2 0 0 41 48 64 0.750000000000001
+23 0 2 0 0 42 48 64 0.900000000000001
+23 0 2 0 0 43 48 64 1.05
+23 0 2 0 0 44 48 64 1.2
+23 0 2 0 0 45 48 64 1.35
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 -1.35
+24 0 2 0 0 28 48 64 -1.2
+24 0 2 0 0 29 48 64 -1.05
+24 0 2 0 0 30 48 64 -0.9
+24 0 2 0 0 31 48 64 -0.75
+24 0 2 0 0 32 48 64 -0.6
+24 0 2 0 0 33 48 64 -0.45
+24 0 2 0 0 34 48 64 -0.3
+24 0 2 0 0 35 48 64 -0.15
+24 0 2 0 0 36 48 64 4.44089209850063e-16
+24 0 2 0 0 37 48 64 0.15
+24 0 2 0 0 38 48 64 0.3
+24 0 2 0 0 39 48 64 0.450000000000001
+24 0 2 0 0 40 48 64 0.600000000000001
+24 0 2 0 0 41 48 64 0.750000000000001
+24 0 2 0 0 42 48 64 0.900000000000001
+24 0 2 0 0 43 48 64 1.05
+24 0 2 0 0 44 48 64 1.2
+24 0 2 0 0 45 48 64 1.35
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 -2.7
+24 0 1 0 0 20 48 64 -2.4
+24 0 1 0 0 22 48 64 -2.1
+24 0 1 0 0 24 48 64 -1.8
+24 0 1 0 0 26 48 64 -1.5
+24 0 1 0 0 28 48 64 -1.2
+24 0 1 0 0 30 48 64 -0.9
+24 0 1 0 0 32 48 64 -0.6
+24 0 1 0 0 34 48 64 -0.3
+24 0 1 0 0 36 48 64 4.44089209850063e-16
+24 0 1 0 0 38 48 64 0.3
+24 0 1 0 0 40 48 64 0.600000000000001
+24 0 1 0 0 42 48 64 0.900000000000001
+24 0 1 0 0 44 48 64 1.2
+24 0 1 0 0 46 48 64 1.5
+24 0 1 0 0 48 48 64 1.8
+24 0 1 0 0 50 48 64 2.1
+24 0 1 0 0 52 48 64 2.4
+24 0 1 0 0 54 48 64 2.7
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -5.4
+24 0 0 0 0 4 48 64 -4.8
+24 0 0 0 0 8 48 64 -4.2
+24 0 0 0 0 12 48 64 -3.6
+24 0 0 0 0 16 48 64 -3
+24 0 0 0 0 20 48 64 -2.4
+24 0 0 0 0 24 48 64 -1.8
+24 0 0 0 0 28 48 64 -1.2
+24 0 0 0 0 32 48 64 -0.6
+24 0 0 0 0 36 48 64 4.44089209850063e-16
+24 0 0 0 0 40 48 64 0.600000000000001
+24 0 0 0 0 44 48 64 1.2
+24 0 0 0 0 48 48 64 1.8
+24 0 0 0 0 52 48 64 2.4
+24 0 0 0 0 56 48 64 3
+24 0 0 0 0 60 48 64 3.6
+24 0 0 0 0 64 48 64 4.2
+24 0 0 0 0 68 48 64 4.8
+24 0 0 0 0 72 48 64 5.4
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_x.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_x.yl
new file mode 100644
index 000000000..a918a2185
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_x.yl
@@ -0,0 +1,1397 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 4.44089209850063e-16
+0 0 2 0 0 36 40 64 4.44089209850063e-16
+0 0 2 0 0 36 41 64 4.44089209850063e-16
+0 0 2 0 0 36 42 64 4.44089209850063e-16
+0 0 2 0 0 36 43 64 4.44089209850063e-16
+0 0 2 0 0 36 44 64 4.44089209850063e-16
+0 0 2 0 0 36 45 64 4.44089209850063e-16
+0 0 2 0 0 36 46 64 4.44089209850063e-16
+0 0 2 0 0 36 47 64 4.44089209850063e-16
+0 0 2 0 0 36 48 64 4.44089209850063e-16
+0 0 2 0 0 36 49 64 4.44089209850063e-16
+0 0 2 0 0 36 50 64 4.44089209850063e-16
+0 0 2 0 0 36 51 64 4.44089209850063e-16
+0 0 2 0 0 36 52 64 4.44089209850063e-16
+0 0 2 0 0 36 53 64 4.44089209850063e-16
+0 0 2 0 0 36 54 64 4.44089209850063e-16
+0 0 2 0 0 36 55 64 4.44089209850063e-16
+0 0 2 0 0 36 56 64 4.44089209850063e-16
+0 0 2 0 0 36 57 64 4.44089209850063e-16
+0 0 2 0 0 36 58 64 4.44089209850063e-16
+0 0 2 0 0 36 59 64 4.44089209850063e-16
+0 0 2 0 0 36 60 64 4.44089209850063e-16
+0 0 2 0 0 36 61 64 4.44089209850063e-16
+0 0 2 0 0 36 62 64 4.44089209850063e-16
+0 0 2 0 0 36 63 64 4.44089209850063e-16
+0 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 4.44089209850063e-16
+0 0 1 0 0 36 28 64 4.44089209850063e-16
+0 0 1 0 0 36 30 64 4.44089209850063e-16
+0 0 1 0 0 36 32 64 4.44089209850063e-16
+0 0 1 0 0 36 34 64 4.44089209850063e-16
+0 0 1 0 0 36 36 64 4.44089209850063e-16
+0 0 1 0 0 36 38 64 4.44089209850063e-16
+0 0 1 0 0 36 40 64 4.44089209850063e-16
+0 0 1 0 0 36 42 64 4.44089209850063e-16
+0 0 1 0 0 36 44 64 4.44089209850063e-16
+0 0 1 0 0 36 46 64 4.44089209850063e-16
+0 0 1 0 0 36 48 64 4.44089209850063e-16
+0 0 1 0 0 36 50 64 4.44089209850063e-16
+0 0 1 0 0 36 52 64 4.44089209850063e-16
+0 0 1 0 0 36 54 64 4.44089209850063e-16
+0 0 1 0 0 36 56 64 4.44089209850063e-16
+0 0 1 0 0 36 58 64 4.44089209850063e-16
+0 0 1 0 0 36 60 64 4.44089209850063e-16
+0 0 1 0 0 36 62 64 4.44089209850063e-16
+0 0 1 0 0 36 64 64 4.44089209850063e-16
+0 0 1 0 0 36 66 64 4.44089209850063e-16
+0 0 1 0 0 36 68 64 4.44089209850063e-16
+0 0 1 0 0 36 70 64 4.44089209850063e-16
+0 0 1 0 0 36 72 64 4.44089209850063e-16
+0 0 1 0 0 36 74 64 4.44089209850063e-16
+0 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 4.44089209850063e-16
+0 0 0 0 0 36 4 64 4.44089209850063e-16
+0 0 0 0 0 36 8 64 4.44089209850063e-16
+0 0 0 0 0 36 12 64 4.44089209850063e-16
+0 0 0 0 0 36 16 64 4.44089209850063e-16
+0 0 0 0 0 36 20 64 4.44089209850063e-16
+0 0 0 0 0 36 24 64 4.44089209850063e-16
+0 0 0 0 0 36 28 64 4.44089209850063e-16
+0 0 0 0 0 36 32 64 4.44089209850063e-16
+0 0 0 0 0 36 36 64 4.44089209850063e-16
+0 0 0 0 0 36 40 64 4.44089209850063e-16
+0 0 0 0 0 36 44 64 4.44089209850063e-16
+0 0 0 0 0 36 48 64 4.44089209850063e-16
+0 0 0 0 0 36 52 64 4.44089209850063e-16
+0 0 0 0 0 36 56 64 4.44089209850063e-16
+0 0 0 0 0 36 60 64 4.44089209850063e-16
+0 0 0 0 0 36 64 64 4.44089209850063e-16
+0 0 0 0 0 36 68 64 4.44089209850063e-16
+0 0 0 0 0 36 72 64 4.44089209850063e-16
+0 0 0 0 0 36 76 64 4.44089209850063e-16
+0 0 0 0 0 36 80 64 4.44089209850063e-16
+0 0 0 0 0 36 84 64 4.44089209850063e-16
+0 0 0 0 0 36 88 64 4.44089209850063e-16
+0 0 0 0 0 36 92 64 4.44089209850063e-16
+0 0 0 0 0 36 96 64 4.44089209850063e-16
+0 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 4.44089209850063e-16
+1 0 2 0 0 36 40 64 4.44089209850063e-16
+1 0 2 0 0 36 41 64 4.44089209850063e-16
+1 0 2 0 0 36 42 64 4.44089209850063e-16
+1 0 2 0 0 36 43 64 4.44089209850063e-16
+1 0 2 0 0 36 44 64 4.44089209850063e-16
+1 0 2 0 0 36 45 64 4.44089209850063e-16
+1 0 2 0 0 36 46 64 4.44089209850063e-16
+1 0 2 0 0 36 47 64 4.44089209850063e-16
+1 0 2 0 0 36 48 64 4.44089209850063e-16
+1 0 2 0 0 36 49 64 4.44089209850063e-16
+1 0 2 0 0 36 50 64 4.44089209850063e-16
+1 0 2 0 0 36 51 64 4.44089209850063e-16
+1 0 2 0 0 36 52 64 4.44089209850063e-16
+1 0 2 0 0 36 53 64 4.44089209850063e-16
+1 0 2 0 0 36 54 64 4.44089209850063e-16
+1 0 2 0 0 36 55 64 4.44089209850063e-16
+1 0 2 0 0 36 56 64 4.44089209850063e-16
+1 0 2 0 0 36 57 64 4.44089209850063e-16
+1 0 2 0 0 36 58 64 4.44089209850063e-16
+1 0 2 0 0 36 59 64 4.44089209850063e-16
+1 0 2 0 0 36 60 64 4.44089209850063e-16
+1 0 2 0 0 36 61 64 4.44089209850063e-16
+1 0 2 0 0 36 62 64 4.44089209850063e-16
+1 0 2 0 0 36 63 64 4.44089209850063e-16
+1 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 4.44089209850063e-16
+2 0 2 0 0 36 40 64 4.44089209850063e-16
+2 0 2 0 0 36 41 64 4.44089209850063e-16
+2 0 2 0 0 36 42 64 4.44089209850063e-16
+2 0 2 0 0 36 43 64 4.44089209850063e-16
+2 0 2 0 0 36 44 64 4.44089209850063e-16
+2 0 2 0 0 36 45 64 4.44089209850063e-16
+2 0 2 0 0 36 46 64 4.44089209850063e-16
+2 0 2 0 0 36 47 64 4.44089209850063e-16
+2 0 2 0 0 36 48 64 4.44089209850063e-16
+2 0 2 0 0 36 49 64 4.44089209850063e-16
+2 0 2 0 0 36 50 64 4.44089209850063e-16
+2 0 2 0 0 36 51 64 4.44089209850063e-16
+2 0 2 0 0 36 52 64 4.44089209850063e-16
+2 0 2 0 0 36 53 64 4.44089209850063e-16
+2 0 2 0 0 36 54 64 4.44089209850063e-16
+2 0 2 0 0 36 55 64 4.44089209850063e-16
+2 0 2 0 0 36 56 64 4.44089209850063e-16
+2 0 2 0 0 36 57 64 4.44089209850063e-16
+2 0 2 0 0 36 58 64 4.44089209850063e-16
+2 0 2 0 0 36 59 64 4.44089209850063e-16
+2 0 2 0 0 36 60 64 4.44089209850063e-16
+2 0 2 0 0 36 61 64 4.44089209850063e-16
+2 0 2 0 0 36 62 64 4.44089209850063e-16
+2 0 2 0 0 36 63 64 4.44089209850063e-16
+2 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 4.44089209850063e-16
+2 0 1 0 0 36 28 64 4.44089209850063e-16
+2 0 1 0 0 36 30 64 4.44089209850063e-16
+2 0 1 0 0 36 32 64 4.44089209850063e-16
+2 0 1 0 0 36 34 64 4.44089209850063e-16
+2 0 1 0 0 36 36 64 4.44089209850063e-16
+2 0 1 0 0 36 38 64 4.44089209850063e-16
+2 0 1 0 0 36 40 64 4.44089209850063e-16
+2 0 1 0 0 36 42 64 4.44089209850063e-16
+2 0 1 0 0 36 44 64 4.44089209850063e-16
+2 0 1 0 0 36 46 64 4.44089209850063e-16
+2 0 1 0 0 36 48 64 4.44089209850063e-16
+2 0 1 0 0 36 50 64 4.44089209850063e-16
+2 0 1 0 0 36 52 64 4.44089209850063e-16
+2 0 1 0 0 36 54 64 4.44089209850063e-16
+2 0 1 0 0 36 56 64 4.44089209850063e-16
+2 0 1 0 0 36 58 64 4.44089209850063e-16
+2 0 1 0 0 36 60 64 4.44089209850063e-16
+2 0 1 0 0 36 62 64 4.44089209850063e-16
+2 0 1 0 0 36 64 64 4.44089209850063e-16
+2 0 1 0 0 36 66 64 4.44089209850063e-16
+2 0 1 0 0 36 68 64 4.44089209850063e-16
+2 0 1 0 0 36 70 64 4.44089209850063e-16
+2 0 1 0 0 36 72 64 4.44089209850063e-16
+2 0 1 0 0 36 74 64 4.44089209850063e-16
+2 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 4.44089209850063e-16
+3 0 2 0 0 36 40 64 4.44089209850063e-16
+3 0 2 0 0 36 41 64 4.44089209850063e-16
+3 0 2 0 0 36 42 64 4.44089209850063e-16
+3 0 2 0 0 36 43 64 4.44089209850063e-16
+3 0 2 0 0 36 44 64 4.44089209850063e-16
+3 0 2 0 0 36 45 64 4.44089209850063e-16
+3 0 2 0 0 36 46 64 4.44089209850063e-16
+3 0 2 0 0 36 47 64 4.44089209850063e-16
+3 0 2 0 0 36 48 64 4.44089209850063e-16
+3 0 2 0 0 36 49 64 4.44089209850063e-16
+3 0 2 0 0 36 50 64 4.44089209850063e-16
+3 0 2 0 0 36 51 64 4.44089209850063e-16
+3 0 2 0 0 36 52 64 4.44089209850063e-16
+3 0 2 0 0 36 53 64 4.44089209850063e-16
+3 0 2 0 0 36 54 64 4.44089209850063e-16
+3 0 2 0 0 36 55 64 4.44089209850063e-16
+3 0 2 0 0 36 56 64 4.44089209850063e-16
+3 0 2 0 0 36 57 64 4.44089209850063e-16
+3 0 2 0 0 36 58 64 4.44089209850063e-16
+3 0 2 0 0 36 59 64 4.44089209850063e-16
+3 0 2 0 0 36 60 64 4.44089209850063e-16
+3 0 2 0 0 36 61 64 4.44089209850063e-16
+3 0 2 0 0 36 62 64 4.44089209850063e-16
+3 0 2 0 0 36 63 64 4.44089209850063e-16
+3 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 4.44089209850063e-16
+4 0 2 0 0 36 40 64 4.44089209850063e-16
+4 0 2 0 0 36 41 64 4.44089209850063e-16
+4 0 2 0 0 36 42 64 4.44089209850063e-16
+4 0 2 0 0 36 43 64 4.44089209850063e-16
+4 0 2 0 0 36 44 64 4.44089209850063e-16
+4 0 2 0 0 36 45 64 4.44089209850063e-16
+4 0 2 0 0 36 46 64 4.44089209850063e-16
+4 0 2 0 0 36 47 64 4.44089209850063e-16
+4 0 2 0 0 36 48 64 4.44089209850063e-16
+4 0 2 0 0 36 49 64 4.44089209850063e-16
+4 0 2 0 0 36 50 64 4.44089209850063e-16
+4 0 2 0 0 36 51 64 4.44089209850063e-16
+4 0 2 0 0 36 52 64 4.44089209850063e-16
+4 0 2 0 0 36 53 64 4.44089209850063e-16
+4 0 2 0 0 36 54 64 4.44089209850063e-16
+4 0 2 0 0 36 55 64 4.44089209850063e-16
+4 0 2 0 0 36 56 64 4.44089209850063e-16
+4 0 2 0 0 36 57 64 4.44089209850063e-16
+4 0 2 0 0 36 58 64 4.44089209850063e-16
+4 0 2 0 0 36 59 64 4.44089209850063e-16
+4 0 2 0 0 36 60 64 4.44089209850063e-16
+4 0 2 0 0 36 61 64 4.44089209850063e-16
+4 0 2 0 0 36 62 64 4.44089209850063e-16
+4 0 2 0 0 36 63 64 4.44089209850063e-16
+4 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 4.44089209850063e-16
+4 0 1 0 0 36 28 64 4.44089209850063e-16
+4 0 1 0 0 36 30 64 4.44089209850063e-16
+4 0 1 0 0 36 32 64 4.44089209850063e-16
+4 0 1 0 0 36 34 64 4.44089209850063e-16
+4 0 1 0 0 36 36 64 4.44089209850063e-16
+4 0 1 0 0 36 38 64 4.44089209850063e-16
+4 0 1 0 0 36 40 64 4.44089209850063e-16
+4 0 1 0 0 36 42 64 4.44089209850063e-16
+4 0 1 0 0 36 44 64 4.44089209850063e-16
+4 0 1 0 0 36 46 64 4.44089209850063e-16
+4 0 1 0 0 36 48 64 4.44089209850063e-16
+4 0 1 0 0 36 50 64 4.44089209850063e-16
+4 0 1 0 0 36 52 64 4.44089209850063e-16
+4 0 1 0 0 36 54 64 4.44089209850063e-16
+4 0 1 0 0 36 56 64 4.44089209850063e-16
+4 0 1 0 0 36 58 64 4.44089209850063e-16
+4 0 1 0 0 36 60 64 4.44089209850063e-16
+4 0 1 0 0 36 62 64 4.44089209850063e-16
+4 0 1 0 0 36 64 64 4.44089209850063e-16
+4 0 1 0 0 36 66 64 4.44089209850063e-16
+4 0 1 0 0 36 68 64 4.44089209850063e-16
+4 0 1 0 0 36 70 64 4.44089209850063e-16
+4 0 1 0 0 36 72 64 4.44089209850063e-16
+4 0 1 0 0 36 74 64 4.44089209850063e-16
+4 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 4.44089209850063e-16
+4 0 0 0 0 36 4 64 4.44089209850063e-16
+4 0 0 0 0 36 8 64 4.44089209850063e-16
+4 0 0 0 0 36 12 64 4.44089209850063e-16
+4 0 0 0 0 36 16 64 4.44089209850063e-16
+4 0 0 0 0 36 20 64 4.44089209850063e-16
+4 0 0 0 0 36 24 64 4.44089209850063e-16
+4 0 0 0 0 36 28 64 4.44089209850063e-16
+4 0 0 0 0 36 32 64 4.44089209850063e-16
+4 0 0 0 0 36 36 64 4.44089209850063e-16
+4 0 0 0 0 36 40 64 4.44089209850063e-16
+4 0 0 0 0 36 44 64 4.44089209850063e-16
+4 0 0 0 0 36 48 64 4.44089209850063e-16
+4 0 0 0 0 36 52 64 4.44089209850063e-16
+4 0 0 0 0 36 56 64 4.44089209850063e-16
+4 0 0 0 0 36 60 64 4.44089209850063e-16
+4 0 0 0 0 36 64 64 4.44089209850063e-16
+4 0 0 0 0 36 68 64 4.44089209850063e-16
+4 0 0 0 0 36 72 64 4.44089209850063e-16
+4 0 0 0 0 36 76 64 4.44089209850063e-16
+4 0 0 0 0 36 80 64 4.44089209850063e-16
+4 0 0 0 0 36 84 64 4.44089209850063e-16
+4 0 0 0 0 36 88 64 4.44089209850063e-16
+4 0 0 0 0 36 92 64 4.44089209850063e-16
+4 0 0 0 0 36 96 64 4.44089209850063e-16
+4 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 4.44089209850063e-16
+5 0 2 0 0 36 40 64 4.44089209850063e-16
+5 0 2 0 0 36 41 64 4.44089209850063e-16
+5 0 2 0 0 36 42 64 4.44089209850063e-16
+5 0 2 0 0 36 43 64 4.44089209850063e-16
+5 0 2 0 0 36 44 64 4.44089209850063e-16
+5 0 2 0 0 36 45 64 4.44089209850063e-16
+5 0 2 0 0 36 46 64 4.44089209850063e-16
+5 0 2 0 0 36 47 64 4.44089209850063e-16
+5 0 2 0 0 36 48 64 4.44089209850063e-16
+5 0 2 0 0 36 49 64 4.44089209850063e-16
+5 0 2 0 0 36 50 64 4.44089209850063e-16
+5 0 2 0 0 36 51 64 4.44089209850063e-16
+5 0 2 0 0 36 52 64 4.44089209850063e-16
+5 0 2 0 0 36 53 64 4.44089209850063e-16
+5 0 2 0 0 36 54 64 4.44089209850063e-16
+5 0 2 0 0 36 55 64 4.44089209850063e-16
+5 0 2 0 0 36 56 64 4.44089209850063e-16
+5 0 2 0 0 36 57 64 4.44089209850063e-16
+5 0 2 0 0 36 58 64 4.44089209850063e-16
+5 0 2 0 0 36 59 64 4.44089209850063e-16
+5 0 2 0 0 36 60 64 4.44089209850063e-16
+5 0 2 0 0 36 61 64 4.44089209850063e-16
+5 0 2 0 0 36 62 64 4.44089209850063e-16
+5 0 2 0 0 36 63 64 4.44089209850063e-16
+5 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 4.44089209850063e-16
+6 0 2 0 0 36 40 64 4.44089209850063e-16
+6 0 2 0 0 36 41 64 4.44089209850063e-16
+6 0 2 0 0 36 42 64 4.44089209850063e-16
+6 0 2 0 0 36 43 64 4.44089209850063e-16
+6 0 2 0 0 36 44 64 4.44089209850063e-16
+6 0 2 0 0 36 45 64 4.44089209850063e-16
+6 0 2 0 0 36 46 64 4.44089209850063e-16
+6 0 2 0 0 36 47 64 4.44089209850063e-16
+6 0 2 0 0 36 48 64 4.44089209850063e-16
+6 0 2 0 0 36 49 64 4.44089209850063e-16
+6 0 2 0 0 36 50 64 4.44089209850063e-16
+6 0 2 0 0 36 51 64 4.44089209850063e-16
+6 0 2 0 0 36 52 64 4.44089209850063e-16
+6 0 2 0 0 36 53 64 4.44089209850063e-16
+6 0 2 0 0 36 54 64 4.44089209850063e-16
+6 0 2 0 0 36 55 64 4.44089209850063e-16
+6 0 2 0 0 36 56 64 4.44089209850063e-16
+6 0 2 0 0 36 57 64 4.44089209850063e-16
+6 0 2 0 0 36 58 64 4.44089209850063e-16
+6 0 2 0 0 36 59 64 4.44089209850063e-16
+6 0 2 0 0 36 60 64 4.44089209850063e-16
+6 0 2 0 0 36 61 64 4.44089209850063e-16
+6 0 2 0 0 36 62 64 4.44089209850063e-16
+6 0 2 0 0 36 63 64 4.44089209850063e-16
+6 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 4.44089209850063e-16
+6 0 1 0 0 36 28 64 4.44089209850063e-16
+6 0 1 0 0 36 30 64 4.44089209850063e-16
+6 0 1 0 0 36 32 64 4.44089209850063e-16
+6 0 1 0 0 36 34 64 4.44089209850063e-16
+6 0 1 0 0 36 36 64 4.44089209850063e-16
+6 0 1 0 0 36 38 64 4.44089209850063e-16
+6 0 1 0 0 36 40 64 4.44089209850063e-16
+6 0 1 0 0 36 42 64 4.44089209850063e-16
+6 0 1 0 0 36 44 64 4.44089209850063e-16
+6 0 1 0 0 36 46 64 4.44089209850063e-16
+6 0 1 0 0 36 48 64 4.44089209850063e-16
+6 0 1 0 0 36 50 64 4.44089209850063e-16
+6 0 1 0 0 36 52 64 4.44089209850063e-16
+6 0 1 0 0 36 54 64 4.44089209850063e-16
+6 0 1 0 0 36 56 64 4.44089209850063e-16
+6 0 1 0 0 36 58 64 4.44089209850063e-16
+6 0 1 0 0 36 60 64 4.44089209850063e-16
+6 0 1 0 0 36 62 64 4.44089209850063e-16
+6 0 1 0 0 36 64 64 4.44089209850063e-16
+6 0 1 0 0 36 66 64 4.44089209850063e-16
+6 0 1 0 0 36 68 64 4.44089209850063e-16
+6 0 1 0 0 36 70 64 4.44089209850063e-16
+6 0 1 0 0 36 72 64 4.44089209850063e-16
+6 0 1 0 0 36 74 64 4.44089209850063e-16
+6 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 4.44089209850063e-16
+7 0 2 0 0 36 40 64 4.44089209850063e-16
+7 0 2 0 0 36 41 64 4.44089209850063e-16
+7 0 2 0 0 36 42 64 4.44089209850063e-16
+7 0 2 0 0 36 43 64 4.44089209850063e-16
+7 0 2 0 0 36 44 64 4.44089209850063e-16
+7 0 2 0 0 36 45 64 4.44089209850063e-16
+7 0 2 0 0 36 46 64 4.44089209850063e-16
+7 0 2 0 0 36 47 64 4.44089209850063e-16
+7 0 2 0 0 36 48 64 4.44089209850063e-16
+7 0 2 0 0 36 49 64 4.44089209850063e-16
+7 0 2 0 0 36 50 64 4.44089209850063e-16
+7 0 2 0 0 36 51 64 4.44089209850063e-16
+7 0 2 0 0 36 52 64 4.44089209850063e-16
+7 0 2 0 0 36 53 64 4.44089209850063e-16
+7 0 2 0 0 36 54 64 4.44089209850063e-16
+7 0 2 0 0 36 55 64 4.44089209850063e-16
+7 0 2 0 0 36 56 64 4.44089209850063e-16
+7 0 2 0 0 36 57 64 4.44089209850063e-16
+7 0 2 0 0 36 58 64 4.44089209850063e-16
+7 0 2 0 0 36 59 64 4.44089209850063e-16
+7 0 2 0 0 36 60 64 4.44089209850063e-16
+7 0 2 0 0 36 61 64 4.44089209850063e-16
+7 0 2 0 0 36 62 64 4.44089209850063e-16
+7 0 2 0 0 36 63 64 4.44089209850063e-16
+7 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 4.44089209850063e-16
+8 0 2 0 0 36 40 64 4.44089209850063e-16
+8 0 2 0 0 36 41 64 4.44089209850063e-16
+8 0 2 0 0 36 42 64 4.44089209850063e-16
+8 0 2 0 0 36 43 64 4.44089209850063e-16
+8 0 2 0 0 36 44 64 4.44089209850063e-16
+8 0 2 0 0 36 45 64 4.44089209850063e-16
+8 0 2 0 0 36 46 64 4.44089209850063e-16
+8 0 2 0 0 36 47 64 4.44089209850063e-16
+8 0 2 0 0 36 48 64 4.44089209850063e-16
+8 0 2 0 0 36 49 64 4.44089209850063e-16
+8 0 2 0 0 36 50 64 4.44089209850063e-16
+8 0 2 0 0 36 51 64 4.44089209850063e-16
+8 0 2 0 0 36 52 64 4.44089209850063e-16
+8 0 2 0 0 36 53 64 4.44089209850063e-16
+8 0 2 0 0 36 54 64 4.44089209850063e-16
+8 0 2 0 0 36 55 64 4.44089209850063e-16
+8 0 2 0 0 36 56 64 4.44089209850063e-16
+8 0 2 0 0 36 57 64 4.44089209850063e-16
+8 0 2 0 0 36 58 64 4.44089209850063e-16
+8 0 2 0 0 36 59 64 4.44089209850063e-16
+8 0 2 0 0 36 60 64 4.44089209850063e-16
+8 0 2 0 0 36 61 64 4.44089209850063e-16
+8 0 2 0 0 36 62 64 4.44089209850063e-16
+8 0 2 0 0 36 63 64 4.44089209850063e-16
+8 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 4.44089209850063e-16
+8 0 1 0 0 36 28 64 4.44089209850063e-16
+8 0 1 0 0 36 30 64 4.44089209850063e-16
+8 0 1 0 0 36 32 64 4.44089209850063e-16
+8 0 1 0 0 36 34 64 4.44089209850063e-16
+8 0 1 0 0 36 36 64 4.44089209850063e-16
+8 0 1 0 0 36 38 64 4.44089209850063e-16
+8 0 1 0 0 36 40 64 4.44089209850063e-16
+8 0 1 0 0 36 42 64 4.44089209850063e-16
+8 0 1 0 0 36 44 64 4.44089209850063e-16
+8 0 1 0 0 36 46 64 4.44089209850063e-16
+8 0 1 0 0 36 48 64 4.44089209850063e-16
+8 0 1 0 0 36 50 64 4.44089209850063e-16
+8 0 1 0 0 36 52 64 4.44089209850063e-16
+8 0 1 0 0 36 54 64 4.44089209850063e-16
+8 0 1 0 0 36 56 64 4.44089209850063e-16
+8 0 1 0 0 36 58 64 4.44089209850063e-16
+8 0 1 0 0 36 60 64 4.44089209850063e-16
+8 0 1 0 0 36 62 64 4.44089209850063e-16
+8 0 1 0 0 36 64 64 4.44089209850063e-16
+8 0 1 0 0 36 66 64 4.44089209850063e-16
+8 0 1 0 0 36 68 64 4.44089209850063e-16
+8 0 1 0 0 36 70 64 4.44089209850063e-16
+8 0 1 0 0 36 72 64 4.44089209850063e-16
+8 0 1 0 0 36 74 64 4.44089209850063e-16
+8 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 4.44089209850063e-16
+8 0 0 0 0 36 4 64 4.44089209850063e-16
+8 0 0 0 0 36 8 64 4.44089209850063e-16
+8 0 0 0 0 36 12 64 4.44089209850063e-16
+8 0 0 0 0 36 16 64 4.44089209850063e-16
+8 0 0 0 0 36 20 64 4.44089209850063e-16
+8 0 0 0 0 36 24 64 4.44089209850063e-16
+8 0 0 0 0 36 28 64 4.44089209850063e-16
+8 0 0 0 0 36 32 64 4.44089209850063e-16
+8 0 0 0 0 36 36 64 4.44089209850063e-16
+8 0 0 0 0 36 40 64 4.44089209850063e-16
+8 0 0 0 0 36 44 64 4.44089209850063e-16
+8 0 0 0 0 36 48 64 4.44089209850063e-16
+8 0 0 0 0 36 52 64 4.44089209850063e-16
+8 0 0 0 0 36 56 64 4.44089209850063e-16
+8 0 0 0 0 36 60 64 4.44089209850063e-16
+8 0 0 0 0 36 64 64 4.44089209850063e-16
+8 0 0 0 0 36 68 64 4.44089209850063e-16
+8 0 0 0 0 36 72 64 4.44089209850063e-16
+8 0 0 0 0 36 76 64 4.44089209850063e-16
+8 0 0 0 0 36 80 64 4.44089209850063e-16
+8 0 0 0 0 36 84 64 4.44089209850063e-16
+8 0 0 0 0 36 88 64 4.44089209850063e-16
+8 0 0 0 0 36 92 64 4.44089209850063e-16
+8 0 0 0 0 36 96 64 4.44089209850063e-16
+8 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 4.44089209850063e-16
+9 0 2 0 0 36 40 64 4.44089209850063e-16
+9 0 2 0 0 36 41 64 4.44089209850063e-16
+9 0 2 0 0 36 42 64 4.44089209850063e-16
+9 0 2 0 0 36 43 64 4.44089209850063e-16
+9 0 2 0 0 36 44 64 4.44089209850063e-16
+9 0 2 0 0 36 45 64 4.44089209850063e-16
+9 0 2 0 0 36 46 64 4.44089209850063e-16
+9 0 2 0 0 36 47 64 4.44089209850063e-16
+9 0 2 0 0 36 48 64 4.44089209850063e-16
+9 0 2 0 0 36 49 64 4.44089209850063e-16
+9 0 2 0 0 36 50 64 4.44089209850063e-16
+9 0 2 0 0 36 51 64 4.44089209850063e-16
+9 0 2 0 0 36 52 64 4.44089209850063e-16
+9 0 2 0 0 36 53 64 4.44089209850063e-16
+9 0 2 0 0 36 54 64 4.44089209850063e-16
+9 0 2 0 0 36 55 64 4.44089209850063e-16
+9 0 2 0 0 36 56 64 4.44089209850063e-16
+9 0 2 0 0 36 57 64 4.44089209850063e-16
+9 0 2 0 0 36 58 64 4.44089209850063e-16
+9 0 2 0 0 36 59 64 4.44089209850063e-16
+9 0 2 0 0 36 60 64 4.44089209850063e-16
+9 0 2 0 0 36 61 64 4.44089209850063e-16
+9 0 2 0 0 36 62 64 4.44089209850063e-16
+9 0 2 0 0 36 63 64 4.44089209850063e-16
+9 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 4.44089209850063e-16
+10 0 2 0 0 36 40 64 4.44089209850063e-16
+10 0 2 0 0 36 41 64 4.44089209850063e-16
+10 0 2 0 0 36 42 64 4.44089209850063e-16
+10 0 2 0 0 36 43 64 4.44089209850063e-16
+10 0 2 0 0 36 44 64 4.44089209850063e-16
+10 0 2 0 0 36 45 64 4.44089209850063e-16
+10 0 2 0 0 36 46 64 4.44089209850063e-16
+10 0 2 0 0 36 47 64 4.44089209850063e-16
+10 0 2 0 0 36 48 64 4.44089209850063e-16
+10 0 2 0 0 36 49 64 4.44089209850063e-16
+10 0 2 0 0 36 50 64 4.44089209850063e-16
+10 0 2 0 0 36 51 64 4.44089209850063e-16
+10 0 2 0 0 36 52 64 4.44089209850063e-16
+10 0 2 0 0 36 53 64 4.44089209850063e-16
+10 0 2 0 0 36 54 64 4.44089209850063e-16
+10 0 2 0 0 36 55 64 4.44089209850063e-16
+10 0 2 0 0 36 56 64 4.44089209850063e-16
+10 0 2 0 0 36 57 64 4.44089209850063e-16
+10 0 2 0 0 36 58 64 4.44089209850063e-16
+10 0 2 0 0 36 59 64 4.44089209850063e-16
+10 0 2 0 0 36 60 64 4.44089209850063e-16
+10 0 2 0 0 36 61 64 4.44089209850063e-16
+10 0 2 0 0 36 62 64 4.44089209850063e-16
+10 0 2 0 0 36 63 64 4.44089209850063e-16
+10 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 4.44089209850063e-16
+10 0 1 0 0 36 28 64 4.44089209850063e-16
+10 0 1 0 0 36 30 64 4.44089209850063e-16
+10 0 1 0 0 36 32 64 4.44089209850063e-16
+10 0 1 0 0 36 34 64 4.44089209850063e-16
+10 0 1 0 0 36 36 64 4.44089209850063e-16
+10 0 1 0 0 36 38 64 4.44089209850063e-16
+10 0 1 0 0 36 40 64 4.44089209850063e-16
+10 0 1 0 0 36 42 64 4.44089209850063e-16
+10 0 1 0 0 36 44 64 4.44089209850063e-16
+10 0 1 0 0 36 46 64 4.44089209850063e-16
+10 0 1 0 0 36 48 64 4.44089209850063e-16
+10 0 1 0 0 36 50 64 4.44089209850063e-16
+10 0 1 0 0 36 52 64 4.44089209850063e-16
+10 0 1 0 0 36 54 64 4.44089209850063e-16
+10 0 1 0 0 36 56 64 4.44089209850063e-16
+10 0 1 0 0 36 58 64 4.44089209850063e-16
+10 0 1 0 0 36 60 64 4.44089209850063e-16
+10 0 1 0 0 36 62 64 4.44089209850063e-16
+10 0 1 0 0 36 64 64 4.44089209850063e-16
+10 0 1 0 0 36 66 64 4.44089209850063e-16
+10 0 1 0 0 36 68 64 4.44089209850063e-16
+10 0 1 0 0 36 70 64 4.44089209850063e-16
+10 0 1 0 0 36 72 64 4.44089209850063e-16
+10 0 1 0 0 36 74 64 4.44089209850063e-16
+10 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 4.44089209850063e-16
+11 0 2 0 0 36 40 64 4.44089209850063e-16
+11 0 2 0 0 36 41 64 4.44089209850063e-16
+11 0 2 0 0 36 42 64 4.44089209850063e-16
+11 0 2 0 0 36 43 64 4.44089209850063e-16
+11 0 2 0 0 36 44 64 4.44089209850063e-16
+11 0 2 0 0 36 45 64 4.44089209850063e-16
+11 0 2 0 0 36 46 64 4.44089209850063e-16
+11 0 2 0 0 36 47 64 4.44089209850063e-16
+11 0 2 0 0 36 48 64 4.44089209850063e-16
+11 0 2 0 0 36 49 64 4.44089209850063e-16
+11 0 2 0 0 36 50 64 4.44089209850063e-16
+11 0 2 0 0 36 51 64 4.44089209850063e-16
+11 0 2 0 0 36 52 64 4.44089209850063e-16
+11 0 2 0 0 36 53 64 4.44089209850063e-16
+11 0 2 0 0 36 54 64 4.44089209850063e-16
+11 0 2 0 0 36 55 64 4.44089209850063e-16
+11 0 2 0 0 36 56 64 4.44089209850063e-16
+11 0 2 0 0 36 57 64 4.44089209850063e-16
+11 0 2 0 0 36 58 64 4.44089209850063e-16
+11 0 2 0 0 36 59 64 4.44089209850063e-16
+11 0 2 0 0 36 60 64 4.44089209850063e-16
+11 0 2 0 0 36 61 64 4.44089209850063e-16
+11 0 2 0 0 36 62 64 4.44089209850063e-16
+11 0 2 0 0 36 63 64 4.44089209850063e-16
+11 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 4.44089209850063e-16
+12 0 2 0 0 36 40 64 4.44089209850063e-16
+12 0 2 0 0 36 41 64 4.44089209850063e-16
+12 0 2 0 0 36 42 64 4.44089209850063e-16
+12 0 2 0 0 36 43 64 4.44089209850063e-16
+12 0 2 0 0 36 44 64 4.44089209850063e-16
+12 0 2 0 0 36 45 64 4.44089209850063e-16
+12 0 2 0 0 36 46 64 4.44089209850063e-16
+12 0 2 0 0 36 47 64 4.44089209850063e-16
+12 0 2 0 0 36 48 64 4.44089209850063e-16
+12 0 2 0 0 36 49 64 4.44089209850063e-16
+12 0 2 0 0 36 50 64 4.44089209850063e-16
+12 0 2 0 0 36 51 64 4.44089209850063e-16
+12 0 2 0 0 36 52 64 4.44089209850063e-16
+12 0 2 0 0 36 53 64 4.44089209850063e-16
+12 0 2 0 0 36 54 64 4.44089209850063e-16
+12 0 2 0 0 36 55 64 4.44089209850063e-16
+12 0 2 0 0 36 56 64 4.44089209850063e-16
+12 0 2 0 0 36 57 64 4.44089209850063e-16
+12 0 2 0 0 36 58 64 4.44089209850063e-16
+12 0 2 0 0 36 59 64 4.44089209850063e-16
+12 0 2 0 0 36 60 64 4.44089209850063e-16
+12 0 2 0 0 36 61 64 4.44089209850063e-16
+12 0 2 0 0 36 62 64 4.44089209850063e-16
+12 0 2 0 0 36 63 64 4.44089209850063e-16
+12 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 4.44089209850063e-16
+12 0 1 0 0 36 28 64 4.44089209850063e-16
+12 0 1 0 0 36 30 64 4.44089209850063e-16
+12 0 1 0 0 36 32 64 4.44089209850063e-16
+12 0 1 0 0 36 34 64 4.44089209850063e-16
+12 0 1 0 0 36 36 64 4.44089209850063e-16
+12 0 1 0 0 36 38 64 4.44089209850063e-16
+12 0 1 0 0 36 40 64 4.44089209850063e-16
+12 0 1 0 0 36 42 64 4.44089209850063e-16
+12 0 1 0 0 36 44 64 4.44089209850063e-16
+12 0 1 0 0 36 46 64 4.44089209850063e-16
+12 0 1 0 0 36 48 64 4.44089209850063e-16
+12 0 1 0 0 36 50 64 4.44089209850063e-16
+12 0 1 0 0 36 52 64 4.44089209850063e-16
+12 0 1 0 0 36 54 64 4.44089209850063e-16
+12 0 1 0 0 36 56 64 4.44089209850063e-16
+12 0 1 0 0 36 58 64 4.44089209850063e-16
+12 0 1 0 0 36 60 64 4.44089209850063e-16
+12 0 1 0 0 36 62 64 4.44089209850063e-16
+12 0 1 0 0 36 64 64 4.44089209850063e-16
+12 0 1 0 0 36 66 64 4.44089209850063e-16
+12 0 1 0 0 36 68 64 4.44089209850063e-16
+12 0 1 0 0 36 70 64 4.44089209850063e-16
+12 0 1 0 0 36 72 64 4.44089209850063e-16
+12 0 1 0 0 36 74 64 4.44089209850063e-16
+12 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 4.44089209850063e-16
+12 0 0 0 0 36 4 64 4.44089209850063e-16
+12 0 0 0 0 36 8 64 4.44089209850063e-16
+12 0 0 0 0 36 12 64 4.44089209850063e-16
+12 0 0 0 0 36 16 64 4.44089209850063e-16
+12 0 0 0 0 36 20 64 4.44089209850063e-16
+12 0 0 0 0 36 24 64 4.44089209850063e-16
+12 0 0 0 0 36 28 64 4.44089209850063e-16
+12 0 0 0 0 36 32 64 4.44089209850063e-16
+12 0 0 0 0 36 36 64 4.44089209850063e-16
+12 0 0 0 0 36 40 64 4.44089209850063e-16
+12 0 0 0 0 36 44 64 4.44089209850063e-16
+12 0 0 0 0 36 48 64 4.44089209850063e-16
+12 0 0 0 0 36 52 64 4.44089209850063e-16
+12 0 0 0 0 36 56 64 4.44089209850063e-16
+12 0 0 0 0 36 60 64 4.44089209850063e-16
+12 0 0 0 0 36 64 64 4.44089209850063e-16
+12 0 0 0 0 36 68 64 4.44089209850063e-16
+12 0 0 0 0 36 72 64 4.44089209850063e-16
+12 0 0 0 0 36 76 64 4.44089209850063e-16
+12 0 0 0 0 36 80 64 4.44089209850063e-16
+12 0 0 0 0 36 84 64 4.44089209850063e-16
+12 0 0 0 0 36 88 64 4.44089209850063e-16
+12 0 0 0 0 36 92 64 4.44089209850063e-16
+12 0 0 0 0 36 96 64 4.44089209850063e-16
+12 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 4.44089209850063e-16
+13 0 2 0 0 36 40 64 4.44089209850063e-16
+13 0 2 0 0 36 41 64 4.44089209850063e-16
+13 0 2 0 0 36 42 64 4.44089209850063e-16
+13 0 2 0 0 36 43 64 4.44089209850063e-16
+13 0 2 0 0 36 44 64 4.44089209850063e-16
+13 0 2 0 0 36 45 64 4.44089209850063e-16
+13 0 2 0 0 36 46 64 4.44089209850063e-16
+13 0 2 0 0 36 47 64 4.44089209850063e-16
+13 0 2 0 0 36 48 64 4.44089209850063e-16
+13 0 2 0 0 36 49 64 4.44089209850063e-16
+13 0 2 0 0 36 50 64 4.44089209850063e-16
+13 0 2 0 0 36 51 64 4.44089209850063e-16
+13 0 2 0 0 36 52 64 4.44089209850063e-16
+13 0 2 0 0 36 53 64 4.44089209850063e-16
+13 0 2 0 0 36 54 64 4.44089209850063e-16
+13 0 2 0 0 36 55 64 4.44089209850063e-16
+13 0 2 0 0 36 56 64 4.44089209850063e-16
+13 0 2 0 0 36 57 64 4.44089209850063e-16
+13 0 2 0 0 36 58 64 4.44089209850063e-16
+13 0 2 0 0 36 59 64 4.44089209850063e-16
+13 0 2 0 0 36 60 64 4.44089209850063e-16
+13 0 2 0 0 36 61 64 4.44089209850063e-16
+13 0 2 0 0 36 62 64 4.44089209850063e-16
+13 0 2 0 0 36 63 64 4.44089209850063e-16
+13 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 4.44089209850063e-16
+14 0 2 0 0 36 40 64 4.44089209850063e-16
+14 0 2 0 0 36 41 64 4.44089209850063e-16
+14 0 2 0 0 36 42 64 4.44089209850063e-16
+14 0 2 0 0 36 43 64 4.44089209850063e-16
+14 0 2 0 0 36 44 64 4.44089209850063e-16
+14 0 2 0 0 36 45 64 4.44089209850063e-16
+14 0 2 0 0 36 46 64 4.44089209850063e-16
+14 0 2 0 0 36 47 64 4.44089209850063e-16
+14 0 2 0 0 36 48 64 4.44089209850063e-16
+14 0 2 0 0 36 49 64 4.44089209850063e-16
+14 0 2 0 0 36 50 64 4.44089209850063e-16
+14 0 2 0 0 36 51 64 4.44089209850063e-16
+14 0 2 0 0 36 52 64 4.44089209850063e-16
+14 0 2 0 0 36 53 64 4.44089209850063e-16
+14 0 2 0 0 36 54 64 4.44089209850063e-16
+14 0 2 0 0 36 55 64 4.44089209850063e-16
+14 0 2 0 0 36 56 64 4.44089209850063e-16
+14 0 2 0 0 36 57 64 4.44089209850063e-16
+14 0 2 0 0 36 58 64 4.44089209850063e-16
+14 0 2 0 0 36 59 64 4.44089209850063e-16
+14 0 2 0 0 36 60 64 4.44089209850063e-16
+14 0 2 0 0 36 61 64 4.44089209850063e-16
+14 0 2 0 0 36 62 64 4.44089209850063e-16
+14 0 2 0 0 36 63 64 4.44089209850063e-16
+14 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 4.44089209850063e-16
+14 0 1 0 0 36 28 64 4.44089209850063e-16
+14 0 1 0 0 36 30 64 4.44089209850063e-16
+14 0 1 0 0 36 32 64 4.44089209850063e-16
+14 0 1 0 0 36 34 64 4.44089209850063e-16
+14 0 1 0 0 36 36 64 4.44089209850063e-16
+14 0 1 0 0 36 38 64 4.44089209850063e-16
+14 0 1 0 0 36 40 64 4.44089209850063e-16
+14 0 1 0 0 36 42 64 4.44089209850063e-16
+14 0 1 0 0 36 44 64 4.44089209850063e-16
+14 0 1 0 0 36 46 64 4.44089209850063e-16
+14 0 1 0 0 36 48 64 4.44089209850063e-16
+14 0 1 0 0 36 50 64 4.44089209850063e-16
+14 0 1 0 0 36 52 64 4.44089209850063e-16
+14 0 1 0 0 36 54 64 4.44089209850063e-16
+14 0 1 0 0 36 56 64 4.44089209850063e-16
+14 0 1 0 0 36 58 64 4.44089209850063e-16
+14 0 1 0 0 36 60 64 4.44089209850063e-16
+14 0 1 0 0 36 62 64 4.44089209850063e-16
+14 0 1 0 0 36 64 64 4.44089209850063e-16
+14 0 1 0 0 36 66 64 4.44089209850063e-16
+14 0 1 0 0 36 68 64 4.44089209850063e-16
+14 0 1 0 0 36 70 64 4.44089209850063e-16
+14 0 1 0 0 36 72 64 4.44089209850063e-16
+14 0 1 0 0 36 74 64 4.44089209850063e-16
+14 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 4.44089209850063e-16
+15 0 2 0 0 36 40 64 4.44089209850063e-16
+15 0 2 0 0 36 41 64 4.44089209850063e-16
+15 0 2 0 0 36 42 64 4.44089209850063e-16
+15 0 2 0 0 36 43 64 4.44089209850063e-16
+15 0 2 0 0 36 44 64 4.44089209850063e-16
+15 0 2 0 0 36 45 64 4.44089209850063e-16
+15 0 2 0 0 36 46 64 4.44089209850063e-16
+15 0 2 0 0 36 47 64 4.44089209850063e-16
+15 0 2 0 0 36 48 64 4.44089209850063e-16
+15 0 2 0 0 36 49 64 4.44089209850063e-16
+15 0 2 0 0 36 50 64 4.44089209850063e-16
+15 0 2 0 0 36 51 64 4.44089209850063e-16
+15 0 2 0 0 36 52 64 4.44089209850063e-16
+15 0 2 0 0 36 53 64 4.44089209850063e-16
+15 0 2 0 0 36 54 64 4.44089209850063e-16
+15 0 2 0 0 36 55 64 4.44089209850063e-16
+15 0 2 0 0 36 56 64 4.44089209850063e-16
+15 0 2 0 0 36 57 64 4.44089209850063e-16
+15 0 2 0 0 36 58 64 4.44089209850063e-16
+15 0 2 0 0 36 59 64 4.44089209850063e-16
+15 0 2 0 0 36 60 64 4.44089209850063e-16
+15 0 2 0 0 36 61 64 4.44089209850063e-16
+15 0 2 0 0 36 62 64 4.44089209850063e-16
+15 0 2 0 0 36 63 64 4.44089209850063e-16
+15 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 4.44089209850063e-16
+16 0 2 0 0 36 40 64 4.44089209850063e-16
+16 0 2 0 0 36 41 64 4.44089209850063e-16
+16 0 2 0 0 36 42 64 4.44089209850063e-16
+16 0 2 0 0 36 43 64 4.44089209850063e-16
+16 0 2 0 0 36 44 64 4.44089209850063e-16
+16 0 2 0 0 36 45 64 4.44089209850063e-16
+16 0 2 0 0 36 46 64 4.44089209850063e-16
+16 0 2 0 0 36 47 64 4.44089209850063e-16
+16 0 2 0 0 36 48 64 4.44089209850063e-16
+16 0 2 0 0 36 49 64 4.44089209850063e-16
+16 0 2 0 0 36 50 64 4.44089209850063e-16
+16 0 2 0 0 36 51 64 4.44089209850063e-16
+16 0 2 0 0 36 52 64 4.44089209850063e-16
+16 0 2 0 0 36 53 64 4.44089209850063e-16
+16 0 2 0 0 36 54 64 4.44089209850063e-16
+16 0 2 0 0 36 55 64 4.44089209850063e-16
+16 0 2 0 0 36 56 64 4.44089209850063e-16
+16 0 2 0 0 36 57 64 4.44089209850063e-16
+16 0 2 0 0 36 58 64 4.44089209850063e-16
+16 0 2 0 0 36 59 64 4.44089209850063e-16
+16 0 2 0 0 36 60 64 4.44089209850063e-16
+16 0 2 0 0 36 61 64 4.44089209850063e-16
+16 0 2 0 0 36 62 64 4.44089209850063e-16
+16 0 2 0 0 36 63 64 4.44089209850063e-16
+16 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 4.44089209850063e-16
+16 0 1 0 0 36 28 64 4.44089209850063e-16
+16 0 1 0 0 36 30 64 4.44089209850063e-16
+16 0 1 0 0 36 32 64 4.44089209850063e-16
+16 0 1 0 0 36 34 64 4.44089209850063e-16
+16 0 1 0 0 36 36 64 4.44089209850063e-16
+16 0 1 0 0 36 38 64 4.44089209850063e-16
+16 0 1 0 0 36 40 64 4.44089209850063e-16
+16 0 1 0 0 36 42 64 4.44089209850063e-16
+16 0 1 0 0 36 44 64 4.44089209850063e-16
+16 0 1 0 0 36 46 64 4.44089209850063e-16
+16 0 1 0 0 36 48 64 4.44089209850063e-16
+16 0 1 0 0 36 50 64 4.44089209850063e-16
+16 0 1 0 0 36 52 64 4.44089209850063e-16
+16 0 1 0 0 36 54 64 4.44089209850063e-16
+16 0 1 0 0 36 56 64 4.44089209850063e-16
+16 0 1 0 0 36 58 64 4.44089209850063e-16
+16 0 1 0 0 36 60 64 4.44089209850063e-16
+16 0 1 0 0 36 62 64 4.44089209850063e-16
+16 0 1 0 0 36 64 64 4.44089209850063e-16
+16 0 1 0 0 36 66 64 4.44089209850063e-16
+16 0 1 0 0 36 68 64 4.44089209850063e-16
+16 0 1 0 0 36 70 64 4.44089209850063e-16
+16 0 1 0 0 36 72 64 4.44089209850063e-16
+16 0 1 0 0 36 74 64 4.44089209850063e-16
+16 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 4.44089209850063e-16
+16 0 0 0 0 36 4 64 4.44089209850063e-16
+16 0 0 0 0 36 8 64 4.44089209850063e-16
+16 0 0 0 0 36 12 64 4.44089209850063e-16
+16 0 0 0 0 36 16 64 4.44089209850063e-16
+16 0 0 0 0 36 20 64 4.44089209850063e-16
+16 0 0 0 0 36 24 64 4.44089209850063e-16
+16 0 0 0 0 36 28 64 4.44089209850063e-16
+16 0 0 0 0 36 32 64 4.44089209850063e-16
+16 0 0 0 0 36 36 64 4.44089209850063e-16
+16 0 0 0 0 36 40 64 4.44089209850063e-16
+16 0 0 0 0 36 44 64 4.44089209850063e-16
+16 0 0 0 0 36 48 64 4.44089209850063e-16
+16 0 0 0 0 36 52 64 4.44089209850063e-16
+16 0 0 0 0 36 56 64 4.44089209850063e-16
+16 0 0 0 0 36 60 64 4.44089209850063e-16
+16 0 0 0 0 36 64 64 4.44089209850063e-16
+16 0 0 0 0 36 68 64 4.44089209850063e-16
+16 0 0 0 0 36 72 64 4.44089209850063e-16
+16 0 0 0 0 36 76 64 4.44089209850063e-16
+16 0 0 0 0 36 80 64 4.44089209850063e-16
+16 0 0 0 0 36 84 64 4.44089209850063e-16
+16 0 0 0 0 36 88 64 4.44089209850063e-16
+16 0 0 0 0 36 92 64 4.44089209850063e-16
+16 0 0 0 0 36 96 64 4.44089209850063e-16
+16 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 4.44089209850063e-16
+17 0 2 0 0 36 40 64 4.44089209850063e-16
+17 0 2 0 0 36 41 64 4.44089209850063e-16
+17 0 2 0 0 36 42 64 4.44089209850063e-16
+17 0 2 0 0 36 43 64 4.44089209850063e-16
+17 0 2 0 0 36 44 64 4.44089209850063e-16
+17 0 2 0 0 36 45 64 4.44089209850063e-16
+17 0 2 0 0 36 46 64 4.44089209850063e-16
+17 0 2 0 0 36 47 64 4.44089209850063e-16
+17 0 2 0 0 36 48 64 4.44089209850063e-16
+17 0 2 0 0 36 49 64 4.44089209850063e-16
+17 0 2 0 0 36 50 64 4.44089209850063e-16
+17 0 2 0 0 36 51 64 4.44089209850063e-16
+17 0 2 0 0 36 52 64 4.44089209850063e-16
+17 0 2 0 0 36 53 64 4.44089209850063e-16
+17 0 2 0 0 36 54 64 4.44089209850063e-16
+17 0 2 0 0 36 55 64 4.44089209850063e-16
+17 0 2 0 0 36 56 64 4.44089209850063e-16
+17 0 2 0 0 36 57 64 4.44089209850063e-16
+17 0 2 0 0 36 58 64 4.44089209850063e-16
+17 0 2 0 0 36 59 64 4.44089209850063e-16
+17 0 2 0 0 36 60 64 4.44089209850063e-16
+17 0 2 0 0 36 61 64 4.44089209850063e-16
+17 0 2 0 0 36 62 64 4.44089209850063e-16
+17 0 2 0 0 36 63 64 4.44089209850063e-16
+17 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 4.44089209850063e-16
+18 0 2 0 0 36 40 64 4.44089209850063e-16
+18 0 2 0 0 36 41 64 4.44089209850063e-16
+18 0 2 0 0 36 42 64 4.44089209850063e-16
+18 0 2 0 0 36 43 64 4.44089209850063e-16
+18 0 2 0 0 36 44 64 4.44089209850063e-16
+18 0 2 0 0 36 45 64 4.44089209850063e-16
+18 0 2 0 0 36 46 64 4.44089209850063e-16
+18 0 2 0 0 36 47 64 4.44089209850063e-16
+18 0 2 0 0 36 48 64 4.44089209850063e-16
+18 0 2 0 0 36 49 64 4.44089209850063e-16
+18 0 2 0 0 36 50 64 4.44089209850063e-16
+18 0 2 0 0 36 51 64 4.44089209850063e-16
+18 0 2 0 0 36 52 64 4.44089209850063e-16
+18 0 2 0 0 36 53 64 4.44089209850063e-16
+18 0 2 0 0 36 54 64 4.44089209850063e-16
+18 0 2 0 0 36 55 64 4.44089209850063e-16
+18 0 2 0 0 36 56 64 4.44089209850063e-16
+18 0 2 0 0 36 57 64 4.44089209850063e-16
+18 0 2 0 0 36 58 64 4.44089209850063e-16
+18 0 2 0 0 36 59 64 4.44089209850063e-16
+18 0 2 0 0 36 60 64 4.44089209850063e-16
+18 0 2 0 0 36 61 64 4.44089209850063e-16
+18 0 2 0 0 36 62 64 4.44089209850063e-16
+18 0 2 0 0 36 63 64 4.44089209850063e-16
+18 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 4.44089209850063e-16
+18 0 1 0 0 36 28 64 4.44089209850063e-16
+18 0 1 0 0 36 30 64 4.44089209850063e-16
+18 0 1 0 0 36 32 64 4.44089209850063e-16
+18 0 1 0 0 36 34 64 4.44089209850063e-16
+18 0 1 0 0 36 36 64 4.44089209850063e-16
+18 0 1 0 0 36 38 64 4.44089209850063e-16
+18 0 1 0 0 36 40 64 4.44089209850063e-16
+18 0 1 0 0 36 42 64 4.44089209850063e-16
+18 0 1 0 0 36 44 64 4.44089209850063e-16
+18 0 1 0 0 36 46 64 4.44089209850063e-16
+18 0 1 0 0 36 48 64 4.44089209850063e-16
+18 0 1 0 0 36 50 64 4.44089209850063e-16
+18 0 1 0 0 36 52 64 4.44089209850063e-16
+18 0 1 0 0 36 54 64 4.44089209850063e-16
+18 0 1 0 0 36 56 64 4.44089209850063e-16
+18 0 1 0 0 36 58 64 4.44089209850063e-16
+18 0 1 0 0 36 60 64 4.44089209850063e-16
+18 0 1 0 0 36 62 64 4.44089209850063e-16
+18 0 1 0 0 36 64 64 4.44089209850063e-16
+18 0 1 0 0 36 66 64 4.44089209850063e-16
+18 0 1 0 0 36 68 64 4.44089209850063e-16
+18 0 1 0 0 36 70 64 4.44089209850063e-16
+18 0 1 0 0 36 72 64 4.44089209850063e-16
+18 0 1 0 0 36 74 64 4.44089209850063e-16
+18 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 4.44089209850063e-16
+19 0 2 0 0 36 40 64 4.44089209850063e-16
+19 0 2 0 0 36 41 64 4.44089209850063e-16
+19 0 2 0 0 36 42 64 4.44089209850063e-16
+19 0 2 0 0 36 43 64 4.44089209850063e-16
+19 0 2 0 0 36 44 64 4.44089209850063e-16
+19 0 2 0 0 36 45 64 4.44089209850063e-16
+19 0 2 0 0 36 46 64 4.44089209850063e-16
+19 0 2 0 0 36 47 64 4.44089209850063e-16
+19 0 2 0 0 36 48 64 4.44089209850063e-16
+19 0 2 0 0 36 49 64 4.44089209850063e-16
+19 0 2 0 0 36 50 64 4.44089209850063e-16
+19 0 2 0 0 36 51 64 4.44089209850063e-16
+19 0 2 0 0 36 52 64 4.44089209850063e-16
+19 0 2 0 0 36 53 64 4.44089209850063e-16
+19 0 2 0 0 36 54 64 4.44089209850063e-16
+19 0 2 0 0 36 55 64 4.44089209850063e-16
+19 0 2 0 0 36 56 64 4.44089209850063e-16
+19 0 2 0 0 36 57 64 4.44089209850063e-16
+19 0 2 0 0 36 58 64 4.44089209850063e-16
+19 0 2 0 0 36 59 64 4.44089209850063e-16
+19 0 2 0 0 36 60 64 4.44089209850063e-16
+19 0 2 0 0 36 61 64 4.44089209850063e-16
+19 0 2 0 0 36 62 64 4.44089209850063e-16
+19 0 2 0 0 36 63 64 4.44089209850063e-16
+19 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 4.44089209850063e-16
+20 0 2 0 0 36 40 64 4.44089209850063e-16
+20 0 2 0 0 36 41 64 4.44089209850063e-16
+20 0 2 0 0 36 42 64 4.44089209850063e-16
+20 0 2 0 0 36 43 64 4.44089209850063e-16
+20 0 2 0 0 36 44 64 4.44089209850063e-16
+20 0 2 0 0 36 45 64 4.44089209850063e-16
+20 0 2 0 0 36 46 64 4.44089209850063e-16
+20 0 2 0 0 36 47 64 4.44089209850063e-16
+20 0 2 0 0 36 48 64 4.44089209850063e-16
+20 0 2 0 0 36 49 64 4.44089209850063e-16
+20 0 2 0 0 36 50 64 4.44089209850063e-16
+20 0 2 0 0 36 51 64 4.44089209850063e-16
+20 0 2 0 0 36 52 64 4.44089209850063e-16
+20 0 2 0 0 36 53 64 4.44089209850063e-16
+20 0 2 0 0 36 54 64 4.44089209850063e-16
+20 0 2 0 0 36 55 64 4.44089209850063e-16
+20 0 2 0 0 36 56 64 4.44089209850063e-16
+20 0 2 0 0 36 57 64 4.44089209850063e-16
+20 0 2 0 0 36 58 64 4.44089209850063e-16
+20 0 2 0 0 36 59 64 4.44089209850063e-16
+20 0 2 0 0 36 60 64 4.44089209850063e-16
+20 0 2 0 0 36 61 64 4.44089209850063e-16
+20 0 2 0 0 36 62 64 4.44089209850063e-16
+20 0 2 0 0 36 63 64 4.44089209850063e-16
+20 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 4.44089209850063e-16
+20 0 1 0 0 36 28 64 4.44089209850063e-16
+20 0 1 0 0 36 30 64 4.44089209850063e-16
+20 0 1 0 0 36 32 64 4.44089209850063e-16
+20 0 1 0 0 36 34 64 4.44089209850063e-16
+20 0 1 0 0 36 36 64 4.44089209850063e-16
+20 0 1 0 0 36 38 64 4.44089209850063e-16
+20 0 1 0 0 36 40 64 4.44089209850063e-16
+20 0 1 0 0 36 42 64 4.44089209850063e-16
+20 0 1 0 0 36 44 64 4.44089209850063e-16
+20 0 1 0 0 36 46 64 4.44089209850063e-16
+20 0 1 0 0 36 48 64 4.44089209850063e-16
+20 0 1 0 0 36 50 64 4.44089209850063e-16
+20 0 1 0 0 36 52 64 4.44089209850063e-16
+20 0 1 0 0 36 54 64 4.44089209850063e-16
+20 0 1 0 0 36 56 64 4.44089209850063e-16
+20 0 1 0 0 36 58 64 4.44089209850063e-16
+20 0 1 0 0 36 60 64 4.44089209850063e-16
+20 0 1 0 0 36 62 64 4.44089209850063e-16
+20 0 1 0 0 36 64 64 4.44089209850063e-16
+20 0 1 0 0 36 66 64 4.44089209850063e-16
+20 0 1 0 0 36 68 64 4.44089209850063e-16
+20 0 1 0 0 36 70 64 4.44089209850063e-16
+20 0 1 0 0 36 72 64 4.44089209850063e-16
+20 0 1 0 0 36 74 64 4.44089209850063e-16
+20 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 4.44089209850063e-16
+20 0 0 0 0 36 4 64 4.44089209850063e-16
+20 0 0 0 0 36 8 64 4.44089209850063e-16
+20 0 0 0 0 36 12 64 4.44089209850063e-16
+20 0 0 0 0 36 16 64 4.44089209850063e-16
+20 0 0 0 0 36 20 64 4.44089209850063e-16
+20 0 0 0 0 36 24 64 4.44089209850063e-16
+20 0 0 0 0 36 28 64 4.44089209850063e-16
+20 0 0 0 0 36 32 64 4.44089209850063e-16
+20 0 0 0 0 36 36 64 4.44089209850063e-16
+20 0 0 0 0 36 40 64 4.44089209850063e-16
+20 0 0 0 0 36 44 64 4.44089209850063e-16
+20 0 0 0 0 36 48 64 4.44089209850063e-16
+20 0 0 0 0 36 52 64 4.44089209850063e-16
+20 0 0 0 0 36 56 64 4.44089209850063e-16
+20 0 0 0 0 36 60 64 4.44089209850063e-16
+20 0 0 0 0 36 64 64 4.44089209850063e-16
+20 0 0 0 0 36 68 64 4.44089209850063e-16
+20 0 0 0 0 36 72 64 4.44089209850063e-16
+20 0 0 0 0 36 76 64 4.44089209850063e-16
+20 0 0 0 0 36 80 64 4.44089209850063e-16
+20 0 0 0 0 36 84 64 4.44089209850063e-16
+20 0 0 0 0 36 88 64 4.44089209850063e-16
+20 0 0 0 0 36 92 64 4.44089209850063e-16
+20 0 0 0 0 36 96 64 4.44089209850063e-16
+20 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 4.44089209850063e-16
+21 0 2 0 0 36 40 64 4.44089209850063e-16
+21 0 2 0 0 36 41 64 4.44089209850063e-16
+21 0 2 0 0 36 42 64 4.44089209850063e-16
+21 0 2 0 0 36 43 64 4.44089209850063e-16
+21 0 2 0 0 36 44 64 4.44089209850063e-16
+21 0 2 0 0 36 45 64 4.44089209850063e-16
+21 0 2 0 0 36 46 64 4.44089209850063e-16
+21 0 2 0 0 36 47 64 4.44089209850063e-16
+21 0 2 0 0 36 48 64 4.44089209850063e-16
+21 0 2 0 0 36 49 64 4.44089209850063e-16
+21 0 2 0 0 36 50 64 4.44089209850063e-16
+21 0 2 0 0 36 51 64 4.44089209850063e-16
+21 0 2 0 0 36 52 64 4.44089209850063e-16
+21 0 2 0 0 36 53 64 4.44089209850063e-16
+21 0 2 0 0 36 54 64 4.44089209850063e-16
+21 0 2 0 0 36 55 64 4.44089209850063e-16
+21 0 2 0 0 36 56 64 4.44089209850063e-16
+21 0 2 0 0 36 57 64 4.44089209850063e-16
+21 0 2 0 0 36 58 64 4.44089209850063e-16
+21 0 2 0 0 36 59 64 4.44089209850063e-16
+21 0 2 0 0 36 60 64 4.44089209850063e-16
+21 0 2 0 0 36 61 64 4.44089209850063e-16
+21 0 2 0 0 36 62 64 4.44089209850063e-16
+21 0 2 0 0 36 63 64 4.44089209850063e-16
+21 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 4.44089209850063e-16
+22 0 2 0 0 36 40 64 4.44089209850063e-16
+22 0 2 0 0 36 41 64 4.44089209850063e-16
+22 0 2 0 0 36 42 64 4.44089209850063e-16
+22 0 2 0 0 36 43 64 4.44089209850063e-16
+22 0 2 0 0 36 44 64 4.44089209850063e-16
+22 0 2 0 0 36 45 64 4.44089209850063e-16
+22 0 2 0 0 36 46 64 4.44089209850063e-16
+22 0 2 0 0 36 47 64 4.44089209850063e-16
+22 0 2 0 0 36 48 64 4.44089209850063e-16
+22 0 2 0 0 36 49 64 4.44089209850063e-16
+22 0 2 0 0 36 50 64 4.44089209850063e-16
+22 0 2 0 0 36 51 64 4.44089209850063e-16
+22 0 2 0 0 36 52 64 4.44089209850063e-16
+22 0 2 0 0 36 53 64 4.44089209850063e-16
+22 0 2 0 0 36 54 64 4.44089209850063e-16
+22 0 2 0 0 36 55 64 4.44089209850063e-16
+22 0 2 0 0 36 56 64 4.44089209850063e-16
+22 0 2 0 0 36 57 64 4.44089209850063e-16
+22 0 2 0 0 36 58 64 4.44089209850063e-16
+22 0 2 0 0 36 59 64 4.44089209850063e-16
+22 0 2 0 0 36 60 64 4.44089209850063e-16
+22 0 2 0 0 36 61 64 4.44089209850063e-16
+22 0 2 0 0 36 62 64 4.44089209850063e-16
+22 0 2 0 0 36 63 64 4.44089209850063e-16
+22 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 4.44089209850063e-16
+22 0 1 0 0 36 28 64 4.44089209850063e-16
+22 0 1 0 0 36 30 64 4.44089209850063e-16
+22 0 1 0 0 36 32 64 4.44089209850063e-16
+22 0 1 0 0 36 34 64 4.44089209850063e-16
+22 0 1 0 0 36 36 64 4.44089209850063e-16
+22 0 1 0 0 36 38 64 4.44089209850063e-16
+22 0 1 0 0 36 40 64 4.44089209850063e-16
+22 0 1 0 0 36 42 64 4.44089209850063e-16
+22 0 1 0 0 36 44 64 4.44089209850063e-16
+22 0 1 0 0 36 46 64 4.44089209850063e-16
+22 0 1 0 0 36 48 64 4.44089209850063e-16
+22 0 1 0 0 36 50 64 4.44089209850063e-16
+22 0 1 0 0 36 52 64 4.44089209850063e-16
+22 0 1 0 0 36 54 64 4.44089209850063e-16
+22 0 1 0 0 36 56 64 4.44089209850063e-16
+22 0 1 0 0 36 58 64 4.44089209850063e-16
+22 0 1 0 0 36 60 64 4.44089209850063e-16
+22 0 1 0 0 36 62 64 4.44089209850063e-16
+22 0 1 0 0 36 64 64 4.44089209850063e-16
+22 0 1 0 0 36 66 64 4.44089209850063e-16
+22 0 1 0 0 36 68 64 4.44089209850063e-16
+22 0 1 0 0 36 70 64 4.44089209850063e-16
+22 0 1 0 0 36 72 64 4.44089209850063e-16
+22 0 1 0 0 36 74 64 4.44089209850063e-16
+22 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 4.44089209850063e-16
+23 0 2 0 0 36 40 64 4.44089209850063e-16
+23 0 2 0 0 36 41 64 4.44089209850063e-16
+23 0 2 0 0 36 42 64 4.44089209850063e-16
+23 0 2 0 0 36 43 64 4.44089209850063e-16
+23 0 2 0 0 36 44 64 4.44089209850063e-16
+23 0 2 0 0 36 45 64 4.44089209850063e-16
+23 0 2 0 0 36 46 64 4.44089209850063e-16
+23 0 2 0 0 36 47 64 4.44089209850063e-16
+23 0 2 0 0 36 48 64 4.44089209850063e-16
+23 0 2 0 0 36 49 64 4.44089209850063e-16
+23 0 2 0 0 36 50 64 4.44089209850063e-16
+23 0 2 0 0 36 51 64 4.44089209850063e-16
+23 0 2 0 0 36 52 64 4.44089209850063e-16
+23 0 2 0 0 36 53 64 4.44089209850063e-16
+23 0 2 0 0 36 54 64 4.44089209850063e-16
+23 0 2 0 0 36 55 64 4.44089209850063e-16
+23 0 2 0 0 36 56 64 4.44089209850063e-16
+23 0 2 0 0 36 57 64 4.44089209850063e-16
+23 0 2 0 0 36 58 64 4.44089209850063e-16
+23 0 2 0 0 36 59 64 4.44089209850063e-16
+23 0 2 0 0 36 60 64 4.44089209850063e-16
+23 0 2 0 0 36 61 64 4.44089209850063e-16
+23 0 2 0 0 36 62 64 4.44089209850063e-16
+23 0 2 0 0 36 63 64 4.44089209850063e-16
+23 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 4.44089209850063e-16
+24 0 2 0 0 36 40 64 4.44089209850063e-16
+24 0 2 0 0 36 41 64 4.44089209850063e-16
+24 0 2 0 0 36 42 64 4.44089209850063e-16
+24 0 2 0 0 36 43 64 4.44089209850063e-16
+24 0 2 0 0 36 44 64 4.44089209850063e-16
+24 0 2 0 0 36 45 64 4.44089209850063e-16
+24 0 2 0 0 36 46 64 4.44089209850063e-16
+24 0 2 0 0 36 47 64 4.44089209850063e-16
+24 0 2 0 0 36 48 64 4.44089209850063e-16
+24 0 2 0 0 36 49 64 4.44089209850063e-16
+24 0 2 0 0 36 50 64 4.44089209850063e-16
+24 0 2 0 0 36 51 64 4.44089209850063e-16
+24 0 2 0 0 36 52 64 4.44089209850063e-16
+24 0 2 0 0 36 53 64 4.44089209850063e-16
+24 0 2 0 0 36 54 64 4.44089209850063e-16
+24 0 2 0 0 36 55 64 4.44089209850063e-16
+24 0 2 0 0 36 56 64 4.44089209850063e-16
+24 0 2 0 0 36 57 64 4.44089209850063e-16
+24 0 2 0 0 36 58 64 4.44089209850063e-16
+24 0 2 0 0 36 59 64 4.44089209850063e-16
+24 0 2 0 0 36 60 64 4.44089209850063e-16
+24 0 2 0 0 36 61 64 4.44089209850063e-16
+24 0 2 0 0 36 62 64 4.44089209850063e-16
+24 0 2 0 0 36 63 64 4.44089209850063e-16
+24 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 4.44089209850063e-16
+24 0 1 0 0 36 28 64 4.44089209850063e-16
+24 0 1 0 0 36 30 64 4.44089209850063e-16
+24 0 1 0 0 36 32 64 4.44089209850063e-16
+24 0 1 0 0 36 34 64 4.44089209850063e-16
+24 0 1 0 0 36 36 64 4.44089209850063e-16
+24 0 1 0 0 36 38 64 4.44089209850063e-16
+24 0 1 0 0 36 40 64 4.44089209850063e-16
+24 0 1 0 0 36 42 64 4.44089209850063e-16
+24 0 1 0 0 36 44 64 4.44089209850063e-16
+24 0 1 0 0 36 46 64 4.44089209850063e-16
+24 0 1 0 0 36 48 64 4.44089209850063e-16
+24 0 1 0 0 36 50 64 4.44089209850063e-16
+24 0 1 0 0 36 52 64 4.44089209850063e-16
+24 0 1 0 0 36 54 64 4.44089209850063e-16
+24 0 1 0 0 36 56 64 4.44089209850063e-16
+24 0 1 0 0 36 58 64 4.44089209850063e-16
+24 0 1 0 0 36 60 64 4.44089209850063e-16
+24 0 1 0 0 36 62 64 4.44089209850063e-16
+24 0 1 0 0 36 64 64 4.44089209850063e-16
+24 0 1 0 0 36 66 64 4.44089209850063e-16
+24 0 1 0 0 36 68 64 4.44089209850063e-16
+24 0 1 0 0 36 70 64 4.44089209850063e-16
+24 0 1 0 0 36 72 64 4.44089209850063e-16
+24 0 1 0 0 36 74 64 4.44089209850063e-16
+24 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 4.44089209850063e-16
+24 0 0 0 0 36 4 64 4.44089209850063e-16
+24 0 0 0 0 36 8 64 4.44089209850063e-16
+24 0 0 0 0 36 12 64 4.44089209850063e-16
+24 0 0 0 0 36 16 64 4.44089209850063e-16
+24 0 0 0 0 36 20 64 4.44089209850063e-16
+24 0 0 0 0 36 24 64 4.44089209850063e-16
+24 0 0 0 0 36 28 64 4.44089209850063e-16
+24 0 0 0 0 36 32 64 4.44089209850063e-16
+24 0 0 0 0 36 36 64 4.44089209850063e-16
+24 0 0 0 0 36 40 64 4.44089209850063e-16
+24 0 0 0 0 36 44 64 4.44089209850063e-16
+24 0 0 0 0 36 48 64 4.44089209850063e-16
+24 0 0 0 0 36 52 64 4.44089209850063e-16
+24 0 0 0 0 36 56 64 4.44089209850063e-16
+24 0 0 0 0 36 60 64 4.44089209850063e-16
+24 0 0 0 0 36 64 64 4.44089209850063e-16
+24 0 0 0 0 36 68 64 4.44089209850063e-16
+24 0 0 0 0 36 72 64 4.44089209850063e-16
+24 0 0 0 0 36 76 64 4.44089209850063e-16
+24 0 0 0 0 36 80 64 4.44089209850063e-16
+24 0 0 0 0 36 84 64 4.44089209850063e-16
+24 0 0 0 0 36 88 64 4.44089209850063e-16
+24 0 0 0 0 36 92 64 4.44089209850063e-16
+24 0 0 0 0 36 96 64 4.44089209850063e-16
+24 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_x.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_x.zl
new file mode 100644
index 000000000..1224f01b3
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_x.zl
@@ -0,0 +1,1757 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 4.44089209850063e-16
+0 0 2 0 0 36 48 52 4.44089209850063e-16
+0 0 2 0 0 36 48 53 4.44089209850063e-16
+0 0 2 0 0 36 48 54 4.44089209850063e-16
+0 0 2 0 0 36 48 55 4.44089209850063e-16
+0 0 2 0 0 36 48 56 4.44089209850063e-16
+0 0 2 0 0 36 48 57 4.44089209850063e-16
+0 0 2 0 0 36 48 58 4.44089209850063e-16
+0 0 2 0 0 36 48 59 4.44089209850063e-16
+0 0 2 0 0 36 48 60 4.44089209850063e-16
+0 0 2 0 0 36 48 61 4.44089209850063e-16
+0 0 2 0 0 36 48 62 4.44089209850063e-16
+0 0 2 0 0 36 48 63 4.44089209850063e-16
+0 0 2 0 0 36 48 64 4.44089209850063e-16
+0 0 2 0 0 36 48 65 4.44089209850063e-16
+0 0 2 0 0 36 48 66 4.44089209850063e-16
+0 0 2 0 0 36 48 67 4.44089209850063e-16
+0 0 2 0 0 36 48 68 4.44089209850063e-16
+0 0 2 0 0 36 48 69 4.44089209850063e-16
+0 0 2 0 0 36 48 70 4.44089209850063e-16
+0 0 2 0 0 36 48 71 4.44089209850063e-16
+0 0 2 0 0 36 48 72 4.44089209850063e-16
+0 0 2 0 0 36 48 73 4.44089209850063e-16
+0 0 2 0 0 36 48 74 4.44089209850063e-16
+0 0 2 0 0 36 48 75 4.44089209850063e-16
+0 0 2 0 0 36 48 76 4.44089209850063e-16
+0 0 2 0 0 36 48 77 4.44089209850063e-16
+0 0 2 0 0 36 48 78 4.44089209850063e-16
+0 0 2 0 0 36 48 79 4.44089209850063e-16
+0 0 2 0 0 36 48 80 4.44089209850063e-16
+0 0 2 0 0 36 48 81 4.44089209850063e-16
+0 0 2 0 0 36 48 82 4.44089209850063e-16
+0 0 2 0 0 36 48 83 4.44089209850063e-16
+0 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 4.44089209850063e-16
+0 0 1 0 0 36 48 36 4.44089209850063e-16
+0 0 1 0 0 36 48 38 4.44089209850063e-16
+0 0 1 0 0 36 48 40 4.44089209850063e-16
+0 0 1 0 0 36 48 42 4.44089209850063e-16
+0 0 1 0 0 36 48 44 4.44089209850063e-16
+0 0 1 0 0 36 48 46 4.44089209850063e-16
+0 0 1 0 0 36 48 48 4.44089209850063e-16
+0 0 1 0 0 36 48 50 4.44089209850063e-16
+0 0 1 0 0 36 48 52 4.44089209850063e-16
+0 0 1 0 0 36 48 54 4.44089209850063e-16
+0 0 1 0 0 36 48 56 4.44089209850063e-16
+0 0 1 0 0 36 48 58 4.44089209850063e-16
+0 0 1 0 0 36 48 60 4.44089209850063e-16
+0 0 1 0 0 36 48 62 4.44089209850063e-16
+0 0 1 0 0 36 48 64 4.44089209850063e-16
+0 0 1 0 0 36 48 66 4.44089209850063e-16
+0 0 1 0 0 36 48 68 4.44089209850063e-16
+0 0 1 0 0 36 48 70 4.44089209850063e-16
+0 0 1 0 0 36 48 72 4.44089209850063e-16
+0 0 1 0 0 36 48 74 4.44089209850063e-16
+0 0 1 0 0 36 48 76 4.44089209850063e-16
+0 0 1 0 0 36 48 78 4.44089209850063e-16
+0 0 1 0 0 36 48 80 4.44089209850063e-16
+0 0 1 0 0 36 48 82 4.44089209850063e-16
+0 0 1 0 0 36 48 84 4.44089209850063e-16
+0 0 1 0 0 36 48 86 4.44089209850063e-16
+0 0 1 0 0 36 48 88 4.44089209850063e-16
+0 0 1 0 0 36 48 90 4.44089209850063e-16
+0 0 1 0 0 36 48 92 4.44089209850063e-16
+0 0 1 0 0 36 48 94 4.44089209850063e-16
+0 0 1 0 0 36 48 96 4.44089209850063e-16
+0 0 1 0 0 36 48 98 4.44089209850063e-16
+0 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 4.44089209850063e-16
+0 0 0 0 0 36 48 4 4.44089209850063e-16
+0 0 0 0 0 36 48 8 4.44089209850063e-16
+0 0 0 0 0 36 48 12 4.44089209850063e-16
+0 0 0 0 0 36 48 16 4.44089209850063e-16
+0 0 0 0 0 36 48 20 4.44089209850063e-16
+0 0 0 0 0 36 48 24 4.44089209850063e-16
+0 0 0 0 0 36 48 28 4.44089209850063e-16
+0 0 0 0 0 36 48 32 4.44089209850063e-16
+0 0 0 0 0 36 48 36 4.44089209850063e-16
+0 0 0 0 0 36 48 40 4.44089209850063e-16
+0 0 0 0 0 36 48 44 4.44089209850063e-16
+0 0 0 0 0 36 48 48 4.44089209850063e-16
+0 0 0 0 0 36 48 52 4.44089209850063e-16
+0 0 0 0 0 36 48 56 4.44089209850063e-16
+0 0 0 0 0 36 48 60 4.44089209850063e-16
+0 0 0 0 0 36 48 64 4.44089209850063e-16
+0 0 0 0 0 36 48 68 4.44089209850063e-16
+0 0 0 0 0 36 48 72 4.44089209850063e-16
+0 0 0 0 0 36 48 76 4.44089209850063e-16
+0 0 0 0 0 36 48 80 4.44089209850063e-16
+0 0 0 0 0 36 48 84 4.44089209850063e-16
+0 0 0 0 0 36 48 88 4.44089209850063e-16
+0 0 0 0 0 36 48 92 4.44089209850063e-16
+0 0 0 0 0 36 48 96 4.44089209850063e-16
+0 0 0 0 0 36 48 100 4.44089209850063e-16
+0 0 0 0 0 36 48 104 4.44089209850063e-16
+0 0 0 0 0 36 48 108 4.44089209850063e-16
+0 0 0 0 0 36 48 112 4.44089209850063e-16
+0 0 0 0 0 36 48 116 4.44089209850063e-16
+0 0 0 0 0 36 48 120 4.44089209850063e-16
+0 0 0 0 0 36 48 124 4.44089209850063e-16
+0 0 0 0 0 36 48 128 4.44089209850063e-16
+0 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 4.44089209850063e-16
+1 0 2 0 0 36 48 52 4.44089209850063e-16
+1 0 2 0 0 36 48 53 4.44089209850063e-16
+1 0 2 0 0 36 48 54 4.44089209850063e-16
+1 0 2 0 0 36 48 55 4.44089209850063e-16
+1 0 2 0 0 36 48 56 4.44089209850063e-16
+1 0 2 0 0 36 48 57 4.44089209850063e-16
+1 0 2 0 0 36 48 58 4.44089209850063e-16
+1 0 2 0 0 36 48 59 4.44089209850063e-16
+1 0 2 0 0 36 48 60 4.44089209850063e-16
+1 0 2 0 0 36 48 61 4.44089209850063e-16
+1 0 2 0 0 36 48 62 4.44089209850063e-16
+1 0 2 0 0 36 48 63 4.44089209850063e-16
+1 0 2 0 0 36 48 64 4.44089209850063e-16
+1 0 2 0 0 36 48 65 4.44089209850063e-16
+1 0 2 0 0 36 48 66 4.44089209850063e-16
+1 0 2 0 0 36 48 67 4.44089209850063e-16
+1 0 2 0 0 36 48 68 4.44089209850063e-16
+1 0 2 0 0 36 48 69 4.44089209850063e-16
+1 0 2 0 0 36 48 70 4.44089209850063e-16
+1 0 2 0 0 36 48 71 4.44089209850063e-16
+1 0 2 0 0 36 48 72 4.44089209850063e-16
+1 0 2 0 0 36 48 73 4.44089209850063e-16
+1 0 2 0 0 36 48 74 4.44089209850063e-16
+1 0 2 0 0 36 48 75 4.44089209850063e-16
+1 0 2 0 0 36 48 76 4.44089209850063e-16
+1 0 2 0 0 36 48 77 4.44089209850063e-16
+1 0 2 0 0 36 48 78 4.44089209850063e-16
+1 0 2 0 0 36 48 79 4.44089209850063e-16
+1 0 2 0 0 36 48 80 4.44089209850063e-16
+1 0 2 0 0 36 48 81 4.44089209850063e-16
+1 0 2 0 0 36 48 82 4.44089209850063e-16
+1 0 2 0 0 36 48 83 4.44089209850063e-16
+1 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 4.44089209850063e-16
+2 0 2 0 0 36 48 52 4.44089209850063e-16
+2 0 2 0 0 36 48 53 4.44089209850063e-16
+2 0 2 0 0 36 48 54 4.44089209850063e-16
+2 0 2 0 0 36 48 55 4.44089209850063e-16
+2 0 2 0 0 36 48 56 4.44089209850063e-16
+2 0 2 0 0 36 48 57 4.44089209850063e-16
+2 0 2 0 0 36 48 58 4.44089209850063e-16
+2 0 2 0 0 36 48 59 4.44089209850063e-16
+2 0 2 0 0 36 48 60 4.44089209850063e-16
+2 0 2 0 0 36 48 61 4.44089209850063e-16
+2 0 2 0 0 36 48 62 4.44089209850063e-16
+2 0 2 0 0 36 48 63 4.44089209850063e-16
+2 0 2 0 0 36 48 64 4.44089209850063e-16
+2 0 2 0 0 36 48 65 4.44089209850063e-16
+2 0 2 0 0 36 48 66 4.44089209850063e-16
+2 0 2 0 0 36 48 67 4.44089209850063e-16
+2 0 2 0 0 36 48 68 4.44089209850063e-16
+2 0 2 0 0 36 48 69 4.44089209850063e-16
+2 0 2 0 0 36 48 70 4.44089209850063e-16
+2 0 2 0 0 36 48 71 4.44089209850063e-16
+2 0 2 0 0 36 48 72 4.44089209850063e-16
+2 0 2 0 0 36 48 73 4.44089209850063e-16
+2 0 2 0 0 36 48 74 4.44089209850063e-16
+2 0 2 0 0 36 48 75 4.44089209850063e-16
+2 0 2 0 0 36 48 76 4.44089209850063e-16
+2 0 2 0 0 36 48 77 4.44089209850063e-16
+2 0 2 0 0 36 48 78 4.44089209850063e-16
+2 0 2 0 0 36 48 79 4.44089209850063e-16
+2 0 2 0 0 36 48 80 4.44089209850063e-16
+2 0 2 0 0 36 48 81 4.44089209850063e-16
+2 0 2 0 0 36 48 82 4.44089209850063e-16
+2 0 2 0 0 36 48 83 4.44089209850063e-16
+2 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 4.44089209850063e-16
+2 0 1 0 0 36 48 36 4.44089209850063e-16
+2 0 1 0 0 36 48 38 4.44089209850063e-16
+2 0 1 0 0 36 48 40 4.44089209850063e-16
+2 0 1 0 0 36 48 42 4.44089209850063e-16
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+2 0 1 0 0 36 48 46 4.44089209850063e-16
+2 0 1 0 0 36 48 48 4.44089209850063e-16
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+2 0 1 0 0 36 48 52 4.44089209850063e-16
+2 0 1 0 0 36 48 54 4.44089209850063e-16
+2 0 1 0 0 36 48 56 4.44089209850063e-16
+2 0 1 0 0 36 48 58 4.44089209850063e-16
+2 0 1 0 0 36 48 60 4.44089209850063e-16
+2 0 1 0 0 36 48 62 4.44089209850063e-16
+2 0 1 0 0 36 48 64 4.44089209850063e-16
+2 0 1 0 0 36 48 66 4.44089209850063e-16
+2 0 1 0 0 36 48 68 4.44089209850063e-16
+2 0 1 0 0 36 48 70 4.44089209850063e-16
+2 0 1 0 0 36 48 72 4.44089209850063e-16
+2 0 1 0 0 36 48 74 4.44089209850063e-16
+2 0 1 0 0 36 48 76 4.44089209850063e-16
+2 0 1 0 0 36 48 78 4.44089209850063e-16
+2 0 1 0 0 36 48 80 4.44089209850063e-16
+2 0 1 0 0 36 48 82 4.44089209850063e-16
+2 0 1 0 0 36 48 84 4.44089209850063e-16
+2 0 1 0 0 36 48 86 4.44089209850063e-16
+2 0 1 0 0 36 48 88 4.44089209850063e-16
+2 0 1 0 0 36 48 90 4.44089209850063e-16
+2 0 1 0 0 36 48 92 4.44089209850063e-16
+2 0 1 0 0 36 48 94 4.44089209850063e-16
+2 0 1 0 0 36 48 96 4.44089209850063e-16
+2 0 1 0 0 36 48 98 4.44089209850063e-16
+2 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 4.44089209850063e-16
+3 0 2 0 0 36 48 52 4.44089209850063e-16
+3 0 2 0 0 36 48 53 4.44089209850063e-16
+3 0 2 0 0 36 48 54 4.44089209850063e-16
+3 0 2 0 0 36 48 55 4.44089209850063e-16
+3 0 2 0 0 36 48 56 4.44089209850063e-16
+3 0 2 0 0 36 48 57 4.44089209850063e-16
+3 0 2 0 0 36 48 58 4.44089209850063e-16
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+3 0 2 0 0 36 48 60 4.44089209850063e-16
+3 0 2 0 0 36 48 61 4.44089209850063e-16
+3 0 2 0 0 36 48 62 4.44089209850063e-16
+3 0 2 0 0 36 48 63 4.44089209850063e-16
+3 0 2 0 0 36 48 64 4.44089209850063e-16
+3 0 2 0 0 36 48 65 4.44089209850063e-16
+3 0 2 0 0 36 48 66 4.44089209850063e-16
+3 0 2 0 0 36 48 67 4.44089209850063e-16
+3 0 2 0 0 36 48 68 4.44089209850063e-16
+3 0 2 0 0 36 48 69 4.44089209850063e-16
+3 0 2 0 0 36 48 70 4.44089209850063e-16
+3 0 2 0 0 36 48 71 4.44089209850063e-16
+3 0 2 0 0 36 48 72 4.44089209850063e-16
+3 0 2 0 0 36 48 73 4.44089209850063e-16
+3 0 2 0 0 36 48 74 4.44089209850063e-16
+3 0 2 0 0 36 48 75 4.44089209850063e-16
+3 0 2 0 0 36 48 76 4.44089209850063e-16
+3 0 2 0 0 36 48 77 4.44089209850063e-16
+3 0 2 0 0 36 48 78 4.44089209850063e-16
+3 0 2 0 0 36 48 79 4.44089209850063e-16
+3 0 2 0 0 36 48 80 4.44089209850063e-16
+3 0 2 0 0 36 48 81 4.44089209850063e-16
+3 0 2 0 0 36 48 82 4.44089209850063e-16
+3 0 2 0 0 36 48 83 4.44089209850063e-16
+3 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 4.44089209850063e-16
+4 0 2 0 0 36 48 52 4.44089209850063e-16
+4 0 2 0 0 36 48 53 4.44089209850063e-16
+4 0 2 0 0 36 48 54 4.44089209850063e-16
+4 0 2 0 0 36 48 55 4.44089209850063e-16
+4 0 2 0 0 36 48 56 4.44089209850063e-16
+4 0 2 0 0 36 48 57 4.44089209850063e-16
+4 0 2 0 0 36 48 58 4.44089209850063e-16
+4 0 2 0 0 36 48 59 4.44089209850063e-16
+4 0 2 0 0 36 48 60 4.44089209850063e-16
+4 0 2 0 0 36 48 61 4.44089209850063e-16
+4 0 2 0 0 36 48 62 4.44089209850063e-16
+4 0 2 0 0 36 48 63 4.44089209850063e-16
+4 0 2 0 0 36 48 64 4.44089209850063e-16
+4 0 2 0 0 36 48 65 4.44089209850063e-16
+4 0 2 0 0 36 48 66 4.44089209850063e-16
+4 0 2 0 0 36 48 67 4.44089209850063e-16
+4 0 2 0 0 36 48 68 4.44089209850063e-16
+4 0 2 0 0 36 48 69 4.44089209850063e-16
+4 0 2 0 0 36 48 70 4.44089209850063e-16
+4 0 2 0 0 36 48 71 4.44089209850063e-16
+4 0 2 0 0 36 48 72 4.44089209850063e-16
+4 0 2 0 0 36 48 73 4.44089209850063e-16
+4 0 2 0 0 36 48 74 4.44089209850063e-16
+4 0 2 0 0 36 48 75 4.44089209850063e-16
+4 0 2 0 0 36 48 76 4.44089209850063e-16
+4 0 2 0 0 36 48 77 4.44089209850063e-16
+4 0 2 0 0 36 48 78 4.44089209850063e-16
+4 0 2 0 0 36 48 79 4.44089209850063e-16
+4 0 2 0 0 36 48 80 4.44089209850063e-16
+4 0 2 0 0 36 48 81 4.44089209850063e-16
+4 0 2 0 0 36 48 82 4.44089209850063e-16
+4 0 2 0 0 36 48 83 4.44089209850063e-16
+4 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 4.44089209850063e-16
+4 0 1 0 0 36 48 36 4.44089209850063e-16
+4 0 1 0 0 36 48 38 4.44089209850063e-16
+4 0 1 0 0 36 48 40 4.44089209850063e-16
+4 0 1 0 0 36 48 42 4.44089209850063e-16
+4 0 1 0 0 36 48 44 4.44089209850063e-16
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+4 0 1 0 0 36 48 48 4.44089209850063e-16
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+4 0 1 0 0 36 48 52 4.44089209850063e-16
+4 0 1 0 0 36 48 54 4.44089209850063e-16
+4 0 1 0 0 36 48 56 4.44089209850063e-16
+4 0 1 0 0 36 48 58 4.44089209850063e-16
+4 0 1 0 0 36 48 60 4.44089209850063e-16
+4 0 1 0 0 36 48 62 4.44089209850063e-16
+4 0 1 0 0 36 48 64 4.44089209850063e-16
+4 0 1 0 0 36 48 66 4.44089209850063e-16
+4 0 1 0 0 36 48 68 4.44089209850063e-16
+4 0 1 0 0 36 48 70 4.44089209850063e-16
+4 0 1 0 0 36 48 72 4.44089209850063e-16
+4 0 1 0 0 36 48 74 4.44089209850063e-16
+4 0 1 0 0 36 48 76 4.44089209850063e-16
+4 0 1 0 0 36 48 78 4.44089209850063e-16
+4 0 1 0 0 36 48 80 4.44089209850063e-16
+4 0 1 0 0 36 48 82 4.44089209850063e-16
+4 0 1 0 0 36 48 84 4.44089209850063e-16
+4 0 1 0 0 36 48 86 4.44089209850063e-16
+4 0 1 0 0 36 48 88 4.44089209850063e-16
+4 0 1 0 0 36 48 90 4.44089209850063e-16
+4 0 1 0 0 36 48 92 4.44089209850063e-16
+4 0 1 0 0 36 48 94 4.44089209850063e-16
+4 0 1 0 0 36 48 96 4.44089209850063e-16
+4 0 1 0 0 36 48 98 4.44089209850063e-16
+4 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 4.44089209850063e-16
+4 0 0 0 0 36 48 4 4.44089209850063e-16
+4 0 0 0 0 36 48 8 4.44089209850063e-16
+4 0 0 0 0 36 48 12 4.44089209850063e-16
+4 0 0 0 0 36 48 16 4.44089209850063e-16
+4 0 0 0 0 36 48 20 4.44089209850063e-16
+4 0 0 0 0 36 48 24 4.44089209850063e-16
+4 0 0 0 0 36 48 28 4.44089209850063e-16
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+4 0 0 0 0 36 48 36 4.44089209850063e-16
+4 0 0 0 0 36 48 40 4.44089209850063e-16
+4 0 0 0 0 36 48 44 4.44089209850063e-16
+4 0 0 0 0 36 48 48 4.44089209850063e-16
+4 0 0 0 0 36 48 52 4.44089209850063e-16
+4 0 0 0 0 36 48 56 4.44089209850063e-16
+4 0 0 0 0 36 48 60 4.44089209850063e-16
+4 0 0 0 0 36 48 64 4.44089209850063e-16
+4 0 0 0 0 36 48 68 4.44089209850063e-16
+4 0 0 0 0 36 48 72 4.44089209850063e-16
+4 0 0 0 0 36 48 76 4.44089209850063e-16
+4 0 0 0 0 36 48 80 4.44089209850063e-16
+4 0 0 0 0 36 48 84 4.44089209850063e-16
+4 0 0 0 0 36 48 88 4.44089209850063e-16
+4 0 0 0 0 36 48 92 4.44089209850063e-16
+4 0 0 0 0 36 48 96 4.44089209850063e-16
+4 0 0 0 0 36 48 100 4.44089209850063e-16
+4 0 0 0 0 36 48 104 4.44089209850063e-16
+4 0 0 0 0 36 48 108 4.44089209850063e-16
+4 0 0 0 0 36 48 112 4.44089209850063e-16
+4 0 0 0 0 36 48 116 4.44089209850063e-16
+4 0 0 0 0 36 48 120 4.44089209850063e-16
+4 0 0 0 0 36 48 124 4.44089209850063e-16
+4 0 0 0 0 36 48 128 4.44089209850063e-16
+4 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 4.44089209850063e-16
+5 0 2 0 0 36 48 52 4.44089209850063e-16
+5 0 2 0 0 36 48 53 4.44089209850063e-16
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+5 0 2 0 0 36 48 56 4.44089209850063e-16
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+5 0 2 0 0 36 48 60 4.44089209850063e-16
+5 0 2 0 0 36 48 61 4.44089209850063e-16
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+5 0 2 0 0 36 48 65 4.44089209850063e-16
+5 0 2 0 0 36 48 66 4.44089209850063e-16
+5 0 2 0 0 36 48 67 4.44089209850063e-16
+5 0 2 0 0 36 48 68 4.44089209850063e-16
+5 0 2 0 0 36 48 69 4.44089209850063e-16
+5 0 2 0 0 36 48 70 4.44089209850063e-16
+5 0 2 0 0 36 48 71 4.44089209850063e-16
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+5 0 2 0 0 36 48 73 4.44089209850063e-16
+5 0 2 0 0 36 48 74 4.44089209850063e-16
+5 0 2 0 0 36 48 75 4.44089209850063e-16
+5 0 2 0 0 36 48 76 4.44089209850063e-16
+5 0 2 0 0 36 48 77 4.44089209850063e-16
+5 0 2 0 0 36 48 78 4.44089209850063e-16
+5 0 2 0 0 36 48 79 4.44089209850063e-16
+5 0 2 0 0 36 48 80 4.44089209850063e-16
+5 0 2 0 0 36 48 81 4.44089209850063e-16
+5 0 2 0 0 36 48 82 4.44089209850063e-16
+5 0 2 0 0 36 48 83 4.44089209850063e-16
+5 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 4.44089209850063e-16
+6 0 2 0 0 36 48 52 4.44089209850063e-16
+6 0 2 0 0 36 48 53 4.44089209850063e-16
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+6 0 2 0 0 36 48 55 4.44089209850063e-16
+6 0 2 0 0 36 48 56 4.44089209850063e-16
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+6 0 2 0 0 36 48 60 4.44089209850063e-16
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+6 0 2 0 0 36 48 65 4.44089209850063e-16
+6 0 2 0 0 36 48 66 4.44089209850063e-16
+6 0 2 0 0 36 48 67 4.44089209850063e-16
+6 0 2 0 0 36 48 68 4.44089209850063e-16
+6 0 2 0 0 36 48 69 4.44089209850063e-16
+6 0 2 0 0 36 48 70 4.44089209850063e-16
+6 0 2 0 0 36 48 71 4.44089209850063e-16
+6 0 2 0 0 36 48 72 4.44089209850063e-16
+6 0 2 0 0 36 48 73 4.44089209850063e-16
+6 0 2 0 0 36 48 74 4.44089209850063e-16
+6 0 2 0 0 36 48 75 4.44089209850063e-16
+6 0 2 0 0 36 48 76 4.44089209850063e-16
+6 0 2 0 0 36 48 77 4.44089209850063e-16
+6 0 2 0 0 36 48 78 4.44089209850063e-16
+6 0 2 0 0 36 48 79 4.44089209850063e-16
+6 0 2 0 0 36 48 80 4.44089209850063e-16
+6 0 2 0 0 36 48 81 4.44089209850063e-16
+6 0 2 0 0 36 48 82 4.44089209850063e-16
+6 0 2 0 0 36 48 83 4.44089209850063e-16
+6 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 4.44089209850063e-16
+6 0 1 0 0 36 48 36 4.44089209850063e-16
+6 0 1 0 0 36 48 38 4.44089209850063e-16
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+6 0 1 0 0 36 48 68 4.44089209850063e-16
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+6 0 1 0 0 36 48 78 4.44089209850063e-16
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+6 0 1 0 0 36 48 82 4.44089209850063e-16
+6 0 1 0 0 36 48 84 4.44089209850063e-16
+6 0 1 0 0 36 48 86 4.44089209850063e-16
+6 0 1 0 0 36 48 88 4.44089209850063e-16
+6 0 1 0 0 36 48 90 4.44089209850063e-16
+6 0 1 0 0 36 48 92 4.44089209850063e-16
+6 0 1 0 0 36 48 94 4.44089209850063e-16
+6 0 1 0 0 36 48 96 4.44089209850063e-16
+6 0 1 0 0 36 48 98 4.44089209850063e-16
+6 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 4.44089209850063e-16
+7 0 2 0 0 36 48 52 4.44089209850063e-16
+7 0 2 0 0 36 48 53 4.44089209850063e-16
+7 0 2 0 0 36 48 54 4.44089209850063e-16
+7 0 2 0 0 36 48 55 4.44089209850063e-16
+7 0 2 0 0 36 48 56 4.44089209850063e-16
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+7 0 2 0 0 36 48 68 4.44089209850063e-16
+7 0 2 0 0 36 48 69 4.44089209850063e-16
+7 0 2 0 0 36 48 70 4.44089209850063e-16
+7 0 2 0 0 36 48 71 4.44089209850063e-16
+7 0 2 0 0 36 48 72 4.44089209850063e-16
+7 0 2 0 0 36 48 73 4.44089209850063e-16
+7 0 2 0 0 36 48 74 4.44089209850063e-16
+7 0 2 0 0 36 48 75 4.44089209850063e-16
+7 0 2 0 0 36 48 76 4.44089209850063e-16
+7 0 2 0 0 36 48 77 4.44089209850063e-16
+7 0 2 0 0 36 48 78 4.44089209850063e-16
+7 0 2 0 0 36 48 79 4.44089209850063e-16
+7 0 2 0 0 36 48 80 4.44089209850063e-16
+7 0 2 0 0 36 48 81 4.44089209850063e-16
+7 0 2 0 0 36 48 82 4.44089209850063e-16
+7 0 2 0 0 36 48 83 4.44089209850063e-16
+7 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 4.44089209850063e-16
+8 0 2 0 0 36 48 52 4.44089209850063e-16
+8 0 2 0 0 36 48 53 4.44089209850063e-16
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+8 0 2 0 0 36 48 80 4.44089209850063e-16
+8 0 2 0 0 36 48 81 4.44089209850063e-16
+8 0 2 0 0 36 48 82 4.44089209850063e-16
+8 0 2 0 0 36 48 83 4.44089209850063e-16
+8 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 4.44089209850063e-16
+8 0 1 0 0 36 48 36 4.44089209850063e-16
+8 0 1 0 0 36 48 38 4.44089209850063e-16
+8 0 1 0 0 36 48 40 4.44089209850063e-16
+8 0 1 0 0 36 48 42 4.44089209850063e-16
+8 0 1 0 0 36 48 44 4.44089209850063e-16
+8 0 1 0 0 36 48 46 4.44089209850063e-16
+8 0 1 0 0 36 48 48 4.44089209850063e-16
+8 0 1 0 0 36 48 50 4.44089209850063e-16
+8 0 1 0 0 36 48 52 4.44089209850063e-16
+8 0 1 0 0 36 48 54 4.44089209850063e-16
+8 0 1 0 0 36 48 56 4.44089209850063e-16
+8 0 1 0 0 36 48 58 4.44089209850063e-16
+8 0 1 0 0 36 48 60 4.44089209850063e-16
+8 0 1 0 0 36 48 62 4.44089209850063e-16
+8 0 1 0 0 36 48 64 4.44089209850063e-16
+8 0 1 0 0 36 48 66 4.44089209850063e-16
+8 0 1 0 0 36 48 68 4.44089209850063e-16
+8 0 1 0 0 36 48 70 4.44089209850063e-16
+8 0 1 0 0 36 48 72 4.44089209850063e-16
+8 0 1 0 0 36 48 74 4.44089209850063e-16
+8 0 1 0 0 36 48 76 4.44089209850063e-16
+8 0 1 0 0 36 48 78 4.44089209850063e-16
+8 0 1 0 0 36 48 80 4.44089209850063e-16
+8 0 1 0 0 36 48 82 4.44089209850063e-16
+8 0 1 0 0 36 48 84 4.44089209850063e-16
+8 0 1 0 0 36 48 86 4.44089209850063e-16
+8 0 1 0 0 36 48 88 4.44089209850063e-16
+8 0 1 0 0 36 48 90 4.44089209850063e-16
+8 0 1 0 0 36 48 92 4.44089209850063e-16
+8 0 1 0 0 36 48 94 4.44089209850063e-16
+8 0 1 0 0 36 48 96 4.44089209850063e-16
+8 0 1 0 0 36 48 98 4.44089209850063e-16
+8 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 4.44089209850063e-16
+8 0 0 0 0 36 48 4 4.44089209850063e-16
+8 0 0 0 0 36 48 8 4.44089209850063e-16
+8 0 0 0 0 36 48 12 4.44089209850063e-16
+8 0 0 0 0 36 48 16 4.44089209850063e-16
+8 0 0 0 0 36 48 20 4.44089209850063e-16
+8 0 0 0 0 36 48 24 4.44089209850063e-16
+8 0 0 0 0 36 48 28 4.44089209850063e-16
+8 0 0 0 0 36 48 32 4.44089209850063e-16
+8 0 0 0 0 36 48 36 4.44089209850063e-16
+8 0 0 0 0 36 48 40 4.44089209850063e-16
+8 0 0 0 0 36 48 44 4.44089209850063e-16
+8 0 0 0 0 36 48 48 4.44089209850063e-16
+8 0 0 0 0 36 48 52 4.44089209850063e-16
+8 0 0 0 0 36 48 56 4.44089209850063e-16
+8 0 0 0 0 36 48 60 4.44089209850063e-16
+8 0 0 0 0 36 48 64 4.44089209850063e-16
+8 0 0 0 0 36 48 68 4.44089209850063e-16
+8 0 0 0 0 36 48 72 4.44089209850063e-16
+8 0 0 0 0 36 48 76 4.44089209850063e-16
+8 0 0 0 0 36 48 80 4.44089209850063e-16
+8 0 0 0 0 36 48 84 4.44089209850063e-16
+8 0 0 0 0 36 48 88 4.44089209850063e-16
+8 0 0 0 0 36 48 92 4.44089209850063e-16
+8 0 0 0 0 36 48 96 4.44089209850063e-16
+8 0 0 0 0 36 48 100 4.44089209850063e-16
+8 0 0 0 0 36 48 104 4.44089209850063e-16
+8 0 0 0 0 36 48 108 4.44089209850063e-16
+8 0 0 0 0 36 48 112 4.44089209850063e-16
+8 0 0 0 0 36 48 116 4.44089209850063e-16
+8 0 0 0 0 36 48 120 4.44089209850063e-16
+8 0 0 0 0 36 48 124 4.44089209850063e-16
+8 0 0 0 0 36 48 128 4.44089209850063e-16
+8 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 4.44089209850063e-16
+9 0 2 0 0 36 48 52 4.44089209850063e-16
+9 0 2 0 0 36 48 53 4.44089209850063e-16
+9 0 2 0 0 36 48 54 4.44089209850063e-16
+9 0 2 0 0 36 48 55 4.44089209850063e-16
+9 0 2 0 0 36 48 56 4.44089209850063e-16
+9 0 2 0 0 36 48 57 4.44089209850063e-16
+9 0 2 0 0 36 48 58 4.44089209850063e-16
+9 0 2 0 0 36 48 59 4.44089209850063e-16
+9 0 2 0 0 36 48 60 4.44089209850063e-16
+9 0 2 0 0 36 48 61 4.44089209850063e-16
+9 0 2 0 0 36 48 62 4.44089209850063e-16
+9 0 2 0 0 36 48 63 4.44089209850063e-16
+9 0 2 0 0 36 48 64 4.44089209850063e-16
+9 0 2 0 0 36 48 65 4.44089209850063e-16
+9 0 2 0 0 36 48 66 4.44089209850063e-16
+9 0 2 0 0 36 48 67 4.44089209850063e-16
+9 0 2 0 0 36 48 68 4.44089209850063e-16
+9 0 2 0 0 36 48 69 4.44089209850063e-16
+9 0 2 0 0 36 48 70 4.44089209850063e-16
+9 0 2 0 0 36 48 71 4.44089209850063e-16
+9 0 2 0 0 36 48 72 4.44089209850063e-16
+9 0 2 0 0 36 48 73 4.44089209850063e-16
+9 0 2 0 0 36 48 74 4.44089209850063e-16
+9 0 2 0 0 36 48 75 4.44089209850063e-16
+9 0 2 0 0 36 48 76 4.44089209850063e-16
+9 0 2 0 0 36 48 77 4.44089209850063e-16
+9 0 2 0 0 36 48 78 4.44089209850063e-16
+9 0 2 0 0 36 48 79 4.44089209850063e-16
+9 0 2 0 0 36 48 80 4.44089209850063e-16
+9 0 2 0 0 36 48 81 4.44089209850063e-16
+9 0 2 0 0 36 48 82 4.44089209850063e-16
+9 0 2 0 0 36 48 83 4.44089209850063e-16
+9 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 4.44089209850063e-16
+10 0 2 0 0 36 48 52 4.44089209850063e-16
+10 0 2 0 0 36 48 53 4.44089209850063e-16
+10 0 2 0 0 36 48 54 4.44089209850063e-16
+10 0 2 0 0 36 48 55 4.44089209850063e-16
+10 0 2 0 0 36 48 56 4.44089209850063e-16
+10 0 2 0 0 36 48 57 4.44089209850063e-16
+10 0 2 0 0 36 48 58 4.44089209850063e-16
+10 0 2 0 0 36 48 59 4.44089209850063e-16
+10 0 2 0 0 36 48 60 4.44089209850063e-16
+10 0 2 0 0 36 48 61 4.44089209850063e-16
+10 0 2 0 0 36 48 62 4.44089209850063e-16
+10 0 2 0 0 36 48 63 4.44089209850063e-16
+10 0 2 0 0 36 48 64 4.44089209850063e-16
+10 0 2 0 0 36 48 65 4.44089209850063e-16
+10 0 2 0 0 36 48 66 4.44089209850063e-16
+10 0 2 0 0 36 48 67 4.44089209850063e-16
+10 0 2 0 0 36 48 68 4.44089209850063e-16
+10 0 2 0 0 36 48 69 4.44089209850063e-16
+10 0 2 0 0 36 48 70 4.44089209850063e-16
+10 0 2 0 0 36 48 71 4.44089209850063e-16
+10 0 2 0 0 36 48 72 4.44089209850063e-16
+10 0 2 0 0 36 48 73 4.44089209850063e-16
+10 0 2 0 0 36 48 74 4.44089209850063e-16
+10 0 2 0 0 36 48 75 4.44089209850063e-16
+10 0 2 0 0 36 48 76 4.44089209850063e-16
+10 0 2 0 0 36 48 77 4.44089209850063e-16
+10 0 2 0 0 36 48 78 4.44089209850063e-16
+10 0 2 0 0 36 48 79 4.44089209850063e-16
+10 0 2 0 0 36 48 80 4.44089209850063e-16
+10 0 2 0 0 36 48 81 4.44089209850063e-16
+10 0 2 0 0 36 48 82 4.44089209850063e-16
+10 0 2 0 0 36 48 83 4.44089209850063e-16
+10 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 4.44089209850063e-16
+10 0 1 0 0 36 48 36 4.44089209850063e-16
+10 0 1 0 0 36 48 38 4.44089209850063e-16
+10 0 1 0 0 36 48 40 4.44089209850063e-16
+10 0 1 0 0 36 48 42 4.44089209850063e-16
+10 0 1 0 0 36 48 44 4.44089209850063e-16
+10 0 1 0 0 36 48 46 4.44089209850063e-16
+10 0 1 0 0 36 48 48 4.44089209850063e-16
+10 0 1 0 0 36 48 50 4.44089209850063e-16
+10 0 1 0 0 36 48 52 4.44089209850063e-16
+10 0 1 0 0 36 48 54 4.44089209850063e-16
+10 0 1 0 0 36 48 56 4.44089209850063e-16
+10 0 1 0 0 36 48 58 4.44089209850063e-16
+10 0 1 0 0 36 48 60 4.44089209850063e-16
+10 0 1 0 0 36 48 62 4.44089209850063e-16
+10 0 1 0 0 36 48 64 4.44089209850063e-16
+10 0 1 0 0 36 48 66 4.44089209850063e-16
+10 0 1 0 0 36 48 68 4.44089209850063e-16
+10 0 1 0 0 36 48 70 4.44089209850063e-16
+10 0 1 0 0 36 48 72 4.44089209850063e-16
+10 0 1 0 0 36 48 74 4.44089209850063e-16
+10 0 1 0 0 36 48 76 4.44089209850063e-16
+10 0 1 0 0 36 48 78 4.44089209850063e-16
+10 0 1 0 0 36 48 80 4.44089209850063e-16
+10 0 1 0 0 36 48 82 4.44089209850063e-16
+10 0 1 0 0 36 48 84 4.44089209850063e-16
+10 0 1 0 0 36 48 86 4.44089209850063e-16
+10 0 1 0 0 36 48 88 4.44089209850063e-16
+10 0 1 0 0 36 48 90 4.44089209850063e-16
+10 0 1 0 0 36 48 92 4.44089209850063e-16
+10 0 1 0 0 36 48 94 4.44089209850063e-16
+10 0 1 0 0 36 48 96 4.44089209850063e-16
+10 0 1 0 0 36 48 98 4.44089209850063e-16
+10 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 4.44089209850063e-16
+11 0 2 0 0 36 48 52 4.44089209850063e-16
+11 0 2 0 0 36 48 53 4.44089209850063e-16
+11 0 2 0 0 36 48 54 4.44089209850063e-16
+11 0 2 0 0 36 48 55 4.44089209850063e-16
+11 0 2 0 0 36 48 56 4.44089209850063e-16
+11 0 2 0 0 36 48 57 4.44089209850063e-16
+11 0 2 0 0 36 48 58 4.44089209850063e-16
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+11 0 2 0 0 36 48 60 4.44089209850063e-16
+11 0 2 0 0 36 48 61 4.44089209850063e-16
+11 0 2 0 0 36 48 62 4.44089209850063e-16
+11 0 2 0 0 36 48 63 4.44089209850063e-16
+11 0 2 0 0 36 48 64 4.44089209850063e-16
+11 0 2 0 0 36 48 65 4.44089209850063e-16
+11 0 2 0 0 36 48 66 4.44089209850063e-16
+11 0 2 0 0 36 48 67 4.44089209850063e-16
+11 0 2 0 0 36 48 68 4.44089209850063e-16
+11 0 2 0 0 36 48 69 4.44089209850063e-16
+11 0 2 0 0 36 48 70 4.44089209850063e-16
+11 0 2 0 0 36 48 71 4.44089209850063e-16
+11 0 2 0 0 36 48 72 4.44089209850063e-16
+11 0 2 0 0 36 48 73 4.44089209850063e-16
+11 0 2 0 0 36 48 74 4.44089209850063e-16
+11 0 2 0 0 36 48 75 4.44089209850063e-16
+11 0 2 0 0 36 48 76 4.44089209850063e-16
+11 0 2 0 0 36 48 77 4.44089209850063e-16
+11 0 2 0 0 36 48 78 4.44089209850063e-16
+11 0 2 0 0 36 48 79 4.44089209850063e-16
+11 0 2 0 0 36 48 80 4.44089209850063e-16
+11 0 2 0 0 36 48 81 4.44089209850063e-16
+11 0 2 0 0 36 48 82 4.44089209850063e-16
+11 0 2 0 0 36 48 83 4.44089209850063e-16
+11 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 4.44089209850063e-16
+12 0 2 0 0 36 48 52 4.44089209850063e-16
+12 0 2 0 0 36 48 53 4.44089209850063e-16
+12 0 2 0 0 36 48 54 4.44089209850063e-16
+12 0 2 0 0 36 48 55 4.44089209850063e-16
+12 0 2 0 0 36 48 56 4.44089209850063e-16
+12 0 2 0 0 36 48 57 4.44089209850063e-16
+12 0 2 0 0 36 48 58 4.44089209850063e-16
+12 0 2 0 0 36 48 59 4.44089209850063e-16
+12 0 2 0 0 36 48 60 4.44089209850063e-16
+12 0 2 0 0 36 48 61 4.44089209850063e-16
+12 0 2 0 0 36 48 62 4.44089209850063e-16
+12 0 2 0 0 36 48 63 4.44089209850063e-16
+12 0 2 0 0 36 48 64 4.44089209850063e-16
+12 0 2 0 0 36 48 65 4.44089209850063e-16
+12 0 2 0 0 36 48 66 4.44089209850063e-16
+12 0 2 0 0 36 48 67 4.44089209850063e-16
+12 0 2 0 0 36 48 68 4.44089209850063e-16
+12 0 2 0 0 36 48 69 4.44089209850063e-16
+12 0 2 0 0 36 48 70 4.44089209850063e-16
+12 0 2 0 0 36 48 71 4.44089209850063e-16
+12 0 2 0 0 36 48 72 4.44089209850063e-16
+12 0 2 0 0 36 48 73 4.44089209850063e-16
+12 0 2 0 0 36 48 74 4.44089209850063e-16
+12 0 2 0 0 36 48 75 4.44089209850063e-16
+12 0 2 0 0 36 48 76 4.44089209850063e-16
+12 0 2 0 0 36 48 77 4.44089209850063e-16
+12 0 2 0 0 36 48 78 4.44089209850063e-16
+12 0 2 0 0 36 48 79 4.44089209850063e-16
+12 0 2 0 0 36 48 80 4.44089209850063e-16
+12 0 2 0 0 36 48 81 4.44089209850063e-16
+12 0 2 0 0 36 48 82 4.44089209850063e-16
+12 0 2 0 0 36 48 83 4.44089209850063e-16
+12 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 4.44089209850063e-16
+12 0 1 0 0 36 48 36 4.44089209850063e-16
+12 0 1 0 0 36 48 38 4.44089209850063e-16
+12 0 1 0 0 36 48 40 4.44089209850063e-16
+12 0 1 0 0 36 48 42 4.44089209850063e-16
+12 0 1 0 0 36 48 44 4.44089209850063e-16
+12 0 1 0 0 36 48 46 4.44089209850063e-16
+12 0 1 0 0 36 48 48 4.44089209850063e-16
+12 0 1 0 0 36 48 50 4.44089209850063e-16
+12 0 1 0 0 36 48 52 4.44089209850063e-16
+12 0 1 0 0 36 48 54 4.44089209850063e-16
+12 0 1 0 0 36 48 56 4.44089209850063e-16
+12 0 1 0 0 36 48 58 4.44089209850063e-16
+12 0 1 0 0 36 48 60 4.44089209850063e-16
+12 0 1 0 0 36 48 62 4.44089209850063e-16
+12 0 1 0 0 36 48 64 4.44089209850063e-16
+12 0 1 0 0 36 48 66 4.44089209850063e-16
+12 0 1 0 0 36 48 68 4.44089209850063e-16
+12 0 1 0 0 36 48 70 4.44089209850063e-16
+12 0 1 0 0 36 48 72 4.44089209850063e-16
+12 0 1 0 0 36 48 74 4.44089209850063e-16
+12 0 1 0 0 36 48 76 4.44089209850063e-16
+12 0 1 0 0 36 48 78 4.44089209850063e-16
+12 0 1 0 0 36 48 80 4.44089209850063e-16
+12 0 1 0 0 36 48 82 4.44089209850063e-16
+12 0 1 0 0 36 48 84 4.44089209850063e-16
+12 0 1 0 0 36 48 86 4.44089209850063e-16
+12 0 1 0 0 36 48 88 4.44089209850063e-16
+12 0 1 0 0 36 48 90 4.44089209850063e-16
+12 0 1 0 0 36 48 92 4.44089209850063e-16
+12 0 1 0 0 36 48 94 4.44089209850063e-16
+12 0 1 0 0 36 48 96 4.44089209850063e-16
+12 0 1 0 0 36 48 98 4.44089209850063e-16
+12 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 4.44089209850063e-16
+12 0 0 0 0 36 48 4 4.44089209850063e-16
+12 0 0 0 0 36 48 8 4.44089209850063e-16
+12 0 0 0 0 36 48 12 4.44089209850063e-16
+12 0 0 0 0 36 48 16 4.44089209850063e-16
+12 0 0 0 0 36 48 20 4.44089209850063e-16
+12 0 0 0 0 36 48 24 4.44089209850063e-16
+12 0 0 0 0 36 48 28 4.44089209850063e-16
+12 0 0 0 0 36 48 32 4.44089209850063e-16
+12 0 0 0 0 36 48 36 4.44089209850063e-16
+12 0 0 0 0 36 48 40 4.44089209850063e-16
+12 0 0 0 0 36 48 44 4.44089209850063e-16
+12 0 0 0 0 36 48 48 4.44089209850063e-16
+12 0 0 0 0 36 48 52 4.44089209850063e-16
+12 0 0 0 0 36 48 56 4.44089209850063e-16
+12 0 0 0 0 36 48 60 4.44089209850063e-16
+12 0 0 0 0 36 48 64 4.44089209850063e-16
+12 0 0 0 0 36 48 68 4.44089209850063e-16
+12 0 0 0 0 36 48 72 4.44089209850063e-16
+12 0 0 0 0 36 48 76 4.44089209850063e-16
+12 0 0 0 0 36 48 80 4.44089209850063e-16
+12 0 0 0 0 36 48 84 4.44089209850063e-16
+12 0 0 0 0 36 48 88 4.44089209850063e-16
+12 0 0 0 0 36 48 92 4.44089209850063e-16
+12 0 0 0 0 36 48 96 4.44089209850063e-16
+12 0 0 0 0 36 48 100 4.44089209850063e-16
+12 0 0 0 0 36 48 104 4.44089209850063e-16
+12 0 0 0 0 36 48 108 4.44089209850063e-16
+12 0 0 0 0 36 48 112 4.44089209850063e-16
+12 0 0 0 0 36 48 116 4.44089209850063e-16
+12 0 0 0 0 36 48 120 4.44089209850063e-16
+12 0 0 0 0 36 48 124 4.44089209850063e-16
+12 0 0 0 0 36 48 128 4.44089209850063e-16
+12 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 4.44089209850063e-16
+13 0 2 0 0 36 48 52 4.44089209850063e-16
+13 0 2 0 0 36 48 53 4.44089209850063e-16
+13 0 2 0 0 36 48 54 4.44089209850063e-16
+13 0 2 0 0 36 48 55 4.44089209850063e-16
+13 0 2 0 0 36 48 56 4.44089209850063e-16
+13 0 2 0 0 36 48 57 4.44089209850063e-16
+13 0 2 0 0 36 48 58 4.44089209850063e-16
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+13 0 2 0 0 36 48 60 4.44089209850063e-16
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+13 0 2 0 0 36 48 63 4.44089209850063e-16
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+13 0 2 0 0 36 48 65 4.44089209850063e-16
+13 0 2 0 0 36 48 66 4.44089209850063e-16
+13 0 2 0 0 36 48 67 4.44089209850063e-16
+13 0 2 0 0 36 48 68 4.44089209850063e-16
+13 0 2 0 0 36 48 69 4.44089209850063e-16
+13 0 2 0 0 36 48 70 4.44089209850063e-16
+13 0 2 0 0 36 48 71 4.44089209850063e-16
+13 0 2 0 0 36 48 72 4.44089209850063e-16
+13 0 2 0 0 36 48 73 4.44089209850063e-16
+13 0 2 0 0 36 48 74 4.44089209850063e-16
+13 0 2 0 0 36 48 75 4.44089209850063e-16
+13 0 2 0 0 36 48 76 4.44089209850063e-16
+13 0 2 0 0 36 48 77 4.44089209850063e-16
+13 0 2 0 0 36 48 78 4.44089209850063e-16
+13 0 2 0 0 36 48 79 4.44089209850063e-16
+13 0 2 0 0 36 48 80 4.44089209850063e-16
+13 0 2 0 0 36 48 81 4.44089209850063e-16
+13 0 2 0 0 36 48 82 4.44089209850063e-16
+13 0 2 0 0 36 48 83 4.44089209850063e-16
+13 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 4.44089209850063e-16
+14 0 2 0 0 36 48 52 4.44089209850063e-16
+14 0 2 0 0 36 48 53 4.44089209850063e-16
+14 0 2 0 0 36 48 54 4.44089209850063e-16
+14 0 2 0 0 36 48 55 4.44089209850063e-16
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+14 0 2 0 0 36 48 83 4.44089209850063e-16
+14 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 4.44089209850063e-16
+14 0 1 0 0 36 48 36 4.44089209850063e-16
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+14 0 1 0 0 36 48 98 4.44089209850063e-16
+14 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 4.44089209850063e-16
+15 0 2 0 0 36 48 52 4.44089209850063e-16
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+15 0 2 0 0 36 48 83 4.44089209850063e-16
+15 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 4.44089209850063e-16
+16 0 2 0 0 36 48 52 4.44089209850063e-16
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+16 0 2 0 0 36 48 79 4.44089209850063e-16
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+16 0 2 0 0 36 48 83 4.44089209850063e-16
+16 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 4.44089209850063e-16
+16 0 1 0 0 36 48 36 4.44089209850063e-16
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+16 0 1 0 0 36 48 98 4.44089209850063e-16
+16 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 4.44089209850063e-16
+16 0 0 0 0 36 48 4 4.44089209850063e-16
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+16 0 0 0 0 36 48 128 4.44089209850063e-16
+16 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 4.44089209850063e-16
+17 0 2 0 0 36 48 52 4.44089209850063e-16
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+17 0 2 0 0 36 48 83 4.44089209850063e-16
+17 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 4.44089209850063e-16
+18 0 2 0 0 36 48 52 4.44089209850063e-16
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+18 0 2 0 0 36 48 79 4.44089209850063e-16
+18 0 2 0 0 36 48 80 4.44089209850063e-16
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+18 0 2 0 0 36 48 83 4.44089209850063e-16
+18 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 4.44089209850063e-16
+18 0 1 0 0 36 48 36 4.44089209850063e-16
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+18 0 1 0 0 36 48 98 4.44089209850063e-16
+18 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 4.44089209850063e-16
+19 0 2 0 0 36 48 52 4.44089209850063e-16
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+19 0 2 0 0 36 48 80 4.44089209850063e-16
+19 0 2 0 0 36 48 81 4.44089209850063e-16
+19 0 2 0 0 36 48 82 4.44089209850063e-16
+19 0 2 0 0 36 48 83 4.44089209850063e-16
+19 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 4.44089209850063e-16
+20 0 2 0 0 36 48 52 4.44089209850063e-16
+20 0 2 0 0 36 48 53 4.44089209850063e-16
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+20 0 2 0 0 36 48 62 4.44089209850063e-16
+20 0 2 0 0 36 48 63 4.44089209850063e-16
+20 0 2 0 0 36 48 64 4.44089209850063e-16
+20 0 2 0 0 36 48 65 4.44089209850063e-16
+20 0 2 0 0 36 48 66 4.44089209850063e-16
+20 0 2 0 0 36 48 67 4.44089209850063e-16
+20 0 2 0 0 36 48 68 4.44089209850063e-16
+20 0 2 0 0 36 48 69 4.44089209850063e-16
+20 0 2 0 0 36 48 70 4.44089209850063e-16
+20 0 2 0 0 36 48 71 4.44089209850063e-16
+20 0 2 0 0 36 48 72 4.44089209850063e-16
+20 0 2 0 0 36 48 73 4.44089209850063e-16
+20 0 2 0 0 36 48 74 4.44089209850063e-16
+20 0 2 0 0 36 48 75 4.44089209850063e-16
+20 0 2 0 0 36 48 76 4.44089209850063e-16
+20 0 2 0 0 36 48 77 4.44089209850063e-16
+20 0 2 0 0 36 48 78 4.44089209850063e-16
+20 0 2 0 0 36 48 79 4.44089209850063e-16
+20 0 2 0 0 36 48 80 4.44089209850063e-16
+20 0 2 0 0 36 48 81 4.44089209850063e-16
+20 0 2 0 0 36 48 82 4.44089209850063e-16
+20 0 2 0 0 36 48 83 4.44089209850063e-16
+20 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 4.44089209850063e-16
+20 0 1 0 0 36 48 36 4.44089209850063e-16
+20 0 1 0 0 36 48 38 4.44089209850063e-16
+20 0 1 0 0 36 48 40 4.44089209850063e-16
+20 0 1 0 0 36 48 42 4.44089209850063e-16
+20 0 1 0 0 36 48 44 4.44089209850063e-16
+20 0 1 0 0 36 48 46 4.44089209850063e-16
+20 0 1 0 0 36 48 48 4.44089209850063e-16
+20 0 1 0 0 36 48 50 4.44089209850063e-16
+20 0 1 0 0 36 48 52 4.44089209850063e-16
+20 0 1 0 0 36 48 54 4.44089209850063e-16
+20 0 1 0 0 36 48 56 4.44089209850063e-16
+20 0 1 0 0 36 48 58 4.44089209850063e-16
+20 0 1 0 0 36 48 60 4.44089209850063e-16
+20 0 1 0 0 36 48 62 4.44089209850063e-16
+20 0 1 0 0 36 48 64 4.44089209850063e-16
+20 0 1 0 0 36 48 66 4.44089209850063e-16
+20 0 1 0 0 36 48 68 4.44089209850063e-16
+20 0 1 0 0 36 48 70 4.44089209850063e-16
+20 0 1 0 0 36 48 72 4.44089209850063e-16
+20 0 1 0 0 36 48 74 4.44089209850063e-16
+20 0 1 0 0 36 48 76 4.44089209850063e-16
+20 0 1 0 0 36 48 78 4.44089209850063e-16
+20 0 1 0 0 36 48 80 4.44089209850063e-16
+20 0 1 0 0 36 48 82 4.44089209850063e-16
+20 0 1 0 0 36 48 84 4.44089209850063e-16
+20 0 1 0 0 36 48 86 4.44089209850063e-16
+20 0 1 0 0 36 48 88 4.44089209850063e-16
+20 0 1 0 0 36 48 90 4.44089209850063e-16
+20 0 1 0 0 36 48 92 4.44089209850063e-16
+20 0 1 0 0 36 48 94 4.44089209850063e-16
+20 0 1 0 0 36 48 96 4.44089209850063e-16
+20 0 1 0 0 36 48 98 4.44089209850063e-16
+20 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 4.44089209850063e-16
+20 0 0 0 0 36 48 4 4.44089209850063e-16
+20 0 0 0 0 36 48 8 4.44089209850063e-16
+20 0 0 0 0 36 48 12 4.44089209850063e-16
+20 0 0 0 0 36 48 16 4.44089209850063e-16
+20 0 0 0 0 36 48 20 4.44089209850063e-16
+20 0 0 0 0 36 48 24 4.44089209850063e-16
+20 0 0 0 0 36 48 28 4.44089209850063e-16
+20 0 0 0 0 36 48 32 4.44089209850063e-16
+20 0 0 0 0 36 48 36 4.44089209850063e-16
+20 0 0 0 0 36 48 40 4.44089209850063e-16
+20 0 0 0 0 36 48 44 4.44089209850063e-16
+20 0 0 0 0 36 48 48 4.44089209850063e-16
+20 0 0 0 0 36 48 52 4.44089209850063e-16
+20 0 0 0 0 36 48 56 4.44089209850063e-16
+20 0 0 0 0 36 48 60 4.44089209850063e-16
+20 0 0 0 0 36 48 64 4.44089209850063e-16
+20 0 0 0 0 36 48 68 4.44089209850063e-16
+20 0 0 0 0 36 48 72 4.44089209850063e-16
+20 0 0 0 0 36 48 76 4.44089209850063e-16
+20 0 0 0 0 36 48 80 4.44089209850063e-16
+20 0 0 0 0 36 48 84 4.44089209850063e-16
+20 0 0 0 0 36 48 88 4.44089209850063e-16
+20 0 0 0 0 36 48 92 4.44089209850063e-16
+20 0 0 0 0 36 48 96 4.44089209850063e-16
+20 0 0 0 0 36 48 100 4.44089209850063e-16
+20 0 0 0 0 36 48 104 4.44089209850063e-16
+20 0 0 0 0 36 48 108 4.44089209850063e-16
+20 0 0 0 0 36 48 112 4.44089209850063e-16
+20 0 0 0 0 36 48 116 4.44089209850063e-16
+20 0 0 0 0 36 48 120 4.44089209850063e-16
+20 0 0 0 0 36 48 124 4.44089209850063e-16
+20 0 0 0 0 36 48 128 4.44089209850063e-16
+20 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 4.44089209850063e-16
+21 0 2 0 0 36 48 52 4.44089209850063e-16
+21 0 2 0 0 36 48 53 4.44089209850063e-16
+21 0 2 0 0 36 48 54 4.44089209850063e-16
+21 0 2 0 0 36 48 55 4.44089209850063e-16
+21 0 2 0 0 36 48 56 4.44089209850063e-16
+21 0 2 0 0 36 48 57 4.44089209850063e-16
+21 0 2 0 0 36 48 58 4.44089209850063e-16
+21 0 2 0 0 36 48 59 4.44089209850063e-16
+21 0 2 0 0 36 48 60 4.44089209850063e-16
+21 0 2 0 0 36 48 61 4.44089209850063e-16
+21 0 2 0 0 36 48 62 4.44089209850063e-16
+21 0 2 0 0 36 48 63 4.44089209850063e-16
+21 0 2 0 0 36 48 64 4.44089209850063e-16
+21 0 2 0 0 36 48 65 4.44089209850063e-16
+21 0 2 0 0 36 48 66 4.44089209850063e-16
+21 0 2 0 0 36 48 67 4.44089209850063e-16
+21 0 2 0 0 36 48 68 4.44089209850063e-16
+21 0 2 0 0 36 48 69 4.44089209850063e-16
+21 0 2 0 0 36 48 70 4.44089209850063e-16
+21 0 2 0 0 36 48 71 4.44089209850063e-16
+21 0 2 0 0 36 48 72 4.44089209850063e-16
+21 0 2 0 0 36 48 73 4.44089209850063e-16
+21 0 2 0 0 36 48 74 4.44089209850063e-16
+21 0 2 0 0 36 48 75 4.44089209850063e-16
+21 0 2 0 0 36 48 76 4.44089209850063e-16
+21 0 2 0 0 36 48 77 4.44089209850063e-16
+21 0 2 0 0 36 48 78 4.44089209850063e-16
+21 0 2 0 0 36 48 79 4.44089209850063e-16
+21 0 2 0 0 36 48 80 4.44089209850063e-16
+21 0 2 0 0 36 48 81 4.44089209850063e-16
+21 0 2 0 0 36 48 82 4.44089209850063e-16
+21 0 2 0 0 36 48 83 4.44089209850063e-16
+21 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 4.44089209850063e-16
+22 0 2 0 0 36 48 52 4.44089209850063e-16
+22 0 2 0 0 36 48 53 4.44089209850063e-16
+22 0 2 0 0 36 48 54 4.44089209850063e-16
+22 0 2 0 0 36 48 55 4.44089209850063e-16
+22 0 2 0 0 36 48 56 4.44089209850063e-16
+22 0 2 0 0 36 48 57 4.44089209850063e-16
+22 0 2 0 0 36 48 58 4.44089209850063e-16
+22 0 2 0 0 36 48 59 4.44089209850063e-16
+22 0 2 0 0 36 48 60 4.44089209850063e-16
+22 0 2 0 0 36 48 61 4.44089209850063e-16
+22 0 2 0 0 36 48 62 4.44089209850063e-16
+22 0 2 0 0 36 48 63 4.44089209850063e-16
+22 0 2 0 0 36 48 64 4.44089209850063e-16
+22 0 2 0 0 36 48 65 4.44089209850063e-16
+22 0 2 0 0 36 48 66 4.44089209850063e-16
+22 0 2 0 0 36 48 67 4.44089209850063e-16
+22 0 2 0 0 36 48 68 4.44089209850063e-16
+22 0 2 0 0 36 48 69 4.44089209850063e-16
+22 0 2 0 0 36 48 70 4.44089209850063e-16
+22 0 2 0 0 36 48 71 4.44089209850063e-16
+22 0 2 0 0 36 48 72 4.44089209850063e-16
+22 0 2 0 0 36 48 73 4.44089209850063e-16
+22 0 2 0 0 36 48 74 4.44089209850063e-16
+22 0 2 0 0 36 48 75 4.44089209850063e-16
+22 0 2 0 0 36 48 76 4.44089209850063e-16
+22 0 2 0 0 36 48 77 4.44089209850063e-16
+22 0 2 0 0 36 48 78 4.44089209850063e-16
+22 0 2 0 0 36 48 79 4.44089209850063e-16
+22 0 2 0 0 36 48 80 4.44089209850063e-16
+22 0 2 0 0 36 48 81 4.44089209850063e-16
+22 0 2 0 0 36 48 82 4.44089209850063e-16
+22 0 2 0 0 36 48 83 4.44089209850063e-16
+22 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 4.44089209850063e-16
+22 0 1 0 0 36 48 36 4.44089209850063e-16
+22 0 1 0 0 36 48 38 4.44089209850063e-16
+22 0 1 0 0 36 48 40 4.44089209850063e-16
+22 0 1 0 0 36 48 42 4.44089209850063e-16
+22 0 1 0 0 36 48 44 4.44089209850063e-16
+22 0 1 0 0 36 48 46 4.44089209850063e-16
+22 0 1 0 0 36 48 48 4.44089209850063e-16
+22 0 1 0 0 36 48 50 4.44089209850063e-16
+22 0 1 0 0 36 48 52 4.44089209850063e-16
+22 0 1 0 0 36 48 54 4.44089209850063e-16
+22 0 1 0 0 36 48 56 4.44089209850063e-16
+22 0 1 0 0 36 48 58 4.44089209850063e-16
+22 0 1 0 0 36 48 60 4.44089209850063e-16
+22 0 1 0 0 36 48 62 4.44089209850063e-16
+22 0 1 0 0 36 48 64 4.44089209850063e-16
+22 0 1 0 0 36 48 66 4.44089209850063e-16
+22 0 1 0 0 36 48 68 4.44089209850063e-16
+22 0 1 0 0 36 48 70 4.44089209850063e-16
+22 0 1 0 0 36 48 72 4.44089209850063e-16
+22 0 1 0 0 36 48 74 4.44089209850063e-16
+22 0 1 0 0 36 48 76 4.44089209850063e-16
+22 0 1 0 0 36 48 78 4.44089209850063e-16
+22 0 1 0 0 36 48 80 4.44089209850063e-16
+22 0 1 0 0 36 48 82 4.44089209850063e-16
+22 0 1 0 0 36 48 84 4.44089209850063e-16
+22 0 1 0 0 36 48 86 4.44089209850063e-16
+22 0 1 0 0 36 48 88 4.44089209850063e-16
+22 0 1 0 0 36 48 90 4.44089209850063e-16
+22 0 1 0 0 36 48 92 4.44089209850063e-16
+22 0 1 0 0 36 48 94 4.44089209850063e-16
+22 0 1 0 0 36 48 96 4.44089209850063e-16
+22 0 1 0 0 36 48 98 4.44089209850063e-16
+22 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 4.44089209850063e-16
+23 0 2 0 0 36 48 52 4.44089209850063e-16
+23 0 2 0 0 36 48 53 4.44089209850063e-16
+23 0 2 0 0 36 48 54 4.44089209850063e-16
+23 0 2 0 0 36 48 55 4.44089209850063e-16
+23 0 2 0 0 36 48 56 4.44089209850063e-16
+23 0 2 0 0 36 48 57 4.44089209850063e-16
+23 0 2 0 0 36 48 58 4.44089209850063e-16
+23 0 2 0 0 36 48 59 4.44089209850063e-16
+23 0 2 0 0 36 48 60 4.44089209850063e-16
+23 0 2 0 0 36 48 61 4.44089209850063e-16
+23 0 2 0 0 36 48 62 4.44089209850063e-16
+23 0 2 0 0 36 48 63 4.44089209850063e-16
+23 0 2 0 0 36 48 64 4.44089209850063e-16
+23 0 2 0 0 36 48 65 4.44089209850063e-16
+23 0 2 0 0 36 48 66 4.44089209850063e-16
+23 0 2 0 0 36 48 67 4.44089209850063e-16
+23 0 2 0 0 36 48 68 4.44089209850063e-16
+23 0 2 0 0 36 48 69 4.44089209850063e-16
+23 0 2 0 0 36 48 70 4.44089209850063e-16
+23 0 2 0 0 36 48 71 4.44089209850063e-16
+23 0 2 0 0 36 48 72 4.44089209850063e-16
+23 0 2 0 0 36 48 73 4.44089209850063e-16
+23 0 2 0 0 36 48 74 4.44089209850063e-16
+23 0 2 0 0 36 48 75 4.44089209850063e-16
+23 0 2 0 0 36 48 76 4.44089209850063e-16
+23 0 2 0 0 36 48 77 4.44089209850063e-16
+23 0 2 0 0 36 48 78 4.44089209850063e-16
+23 0 2 0 0 36 48 79 4.44089209850063e-16
+23 0 2 0 0 36 48 80 4.44089209850063e-16
+23 0 2 0 0 36 48 81 4.44089209850063e-16
+23 0 2 0 0 36 48 82 4.44089209850063e-16
+23 0 2 0 0 36 48 83 4.44089209850063e-16
+23 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 4.44089209850063e-16
+24 0 2 0 0 36 48 52 4.44089209850063e-16
+24 0 2 0 0 36 48 53 4.44089209850063e-16
+24 0 2 0 0 36 48 54 4.44089209850063e-16
+24 0 2 0 0 36 48 55 4.44089209850063e-16
+24 0 2 0 0 36 48 56 4.44089209850063e-16
+24 0 2 0 0 36 48 57 4.44089209850063e-16
+24 0 2 0 0 36 48 58 4.44089209850063e-16
+24 0 2 0 0 36 48 59 4.44089209850063e-16
+24 0 2 0 0 36 48 60 4.44089209850063e-16
+24 0 2 0 0 36 48 61 4.44089209850063e-16
+24 0 2 0 0 36 48 62 4.44089209850063e-16
+24 0 2 0 0 36 48 63 4.44089209850063e-16
+24 0 2 0 0 36 48 64 4.44089209850063e-16
+24 0 2 0 0 36 48 65 4.44089209850063e-16
+24 0 2 0 0 36 48 66 4.44089209850063e-16
+24 0 2 0 0 36 48 67 4.44089209850063e-16
+24 0 2 0 0 36 48 68 4.44089209850063e-16
+24 0 2 0 0 36 48 69 4.44089209850063e-16
+24 0 2 0 0 36 48 70 4.44089209850063e-16
+24 0 2 0 0 36 48 71 4.44089209850063e-16
+24 0 2 0 0 36 48 72 4.44089209850063e-16
+24 0 2 0 0 36 48 73 4.44089209850063e-16
+24 0 2 0 0 36 48 74 4.44089209850063e-16
+24 0 2 0 0 36 48 75 4.44089209850063e-16
+24 0 2 0 0 36 48 76 4.44089209850063e-16
+24 0 2 0 0 36 48 77 4.44089209850063e-16
+24 0 2 0 0 36 48 78 4.44089209850063e-16
+24 0 2 0 0 36 48 79 4.44089209850063e-16
+24 0 2 0 0 36 48 80 4.44089209850063e-16
+24 0 2 0 0 36 48 81 4.44089209850063e-16
+24 0 2 0 0 36 48 82 4.44089209850063e-16
+24 0 2 0 0 36 48 83 4.44089209850063e-16
+24 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 4.44089209850063e-16
+24 0 1 0 0 36 48 36 4.44089209850063e-16
+24 0 1 0 0 36 48 38 4.44089209850063e-16
+24 0 1 0 0 36 48 40 4.44089209850063e-16
+24 0 1 0 0 36 48 42 4.44089209850063e-16
+24 0 1 0 0 36 48 44 4.44089209850063e-16
+24 0 1 0 0 36 48 46 4.44089209850063e-16
+24 0 1 0 0 36 48 48 4.44089209850063e-16
+24 0 1 0 0 36 48 50 4.44089209850063e-16
+24 0 1 0 0 36 48 52 4.44089209850063e-16
+24 0 1 0 0 36 48 54 4.44089209850063e-16
+24 0 1 0 0 36 48 56 4.44089209850063e-16
+24 0 1 0 0 36 48 58 4.44089209850063e-16
+24 0 1 0 0 36 48 60 4.44089209850063e-16
+24 0 1 0 0 36 48 62 4.44089209850063e-16
+24 0 1 0 0 36 48 64 4.44089209850063e-16
+24 0 1 0 0 36 48 66 4.44089209850063e-16
+24 0 1 0 0 36 48 68 4.44089209850063e-16
+24 0 1 0 0 36 48 70 4.44089209850063e-16
+24 0 1 0 0 36 48 72 4.44089209850063e-16
+24 0 1 0 0 36 48 74 4.44089209850063e-16
+24 0 1 0 0 36 48 76 4.44089209850063e-16
+24 0 1 0 0 36 48 78 4.44089209850063e-16
+24 0 1 0 0 36 48 80 4.44089209850063e-16
+24 0 1 0 0 36 48 82 4.44089209850063e-16
+24 0 1 0 0 36 48 84 4.44089209850063e-16
+24 0 1 0 0 36 48 86 4.44089209850063e-16
+24 0 1 0 0 36 48 88 4.44089209850063e-16
+24 0 1 0 0 36 48 90 4.44089209850063e-16
+24 0 1 0 0 36 48 92 4.44089209850063e-16
+24 0 1 0 0 36 48 94 4.44089209850063e-16
+24 0 1 0 0 36 48 96 4.44089209850063e-16
+24 0 1 0 0 36 48 98 4.44089209850063e-16
+24 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 4.44089209850063e-16
+24 0 0 0 0 36 48 4 4.44089209850063e-16
+24 0 0 0 0 36 48 8 4.44089209850063e-16
+24 0 0 0 0 36 48 12 4.44089209850063e-16
+24 0 0 0 0 36 48 16 4.44089209850063e-16
+24 0 0 0 0 36 48 20 4.44089209850063e-16
+24 0 0 0 0 36 48 24 4.44089209850063e-16
+24 0 0 0 0 36 48 28 4.44089209850063e-16
+24 0 0 0 0 36 48 32 4.44089209850063e-16
+24 0 0 0 0 36 48 36 4.44089209850063e-16
+24 0 0 0 0 36 48 40 4.44089209850063e-16
+24 0 0 0 0 36 48 44 4.44089209850063e-16
+24 0 0 0 0 36 48 48 4.44089209850063e-16
+24 0 0 0 0 36 48 52 4.44089209850063e-16
+24 0 0 0 0 36 48 56 4.44089209850063e-16
+24 0 0 0 0 36 48 60 4.44089209850063e-16
+24 0 0 0 0 36 48 64 4.44089209850063e-16
+24 0 0 0 0 36 48 68 4.44089209850063e-16
+24 0 0 0 0 36 48 72 4.44089209850063e-16
+24 0 0 0 0 36 48 76 4.44089209850063e-16
+24 0 0 0 0 36 48 80 4.44089209850063e-16
+24 0 0 0 0 36 48 84 4.44089209850063e-16
+24 0 0 0 0 36 48 88 4.44089209850063e-16
+24 0 0 0 0 36 48 92 4.44089209850063e-16
+24 0 0 0 0 36 48 96 4.44089209850063e-16
+24 0 0 0 0 36 48 100 4.44089209850063e-16
+24 0 0 0 0 36 48 104 4.44089209850063e-16
+24 0 0 0 0 36 48 108 4.44089209850063e-16
+24 0 0 0 0 36 48 112 4.44089209850063e-16
+24 0 0 0 0 36 48 116 4.44089209850063e-16
+24 0 0 0 0 36 48 120 4.44089209850063e-16
+24 0 0 0 0 36 48 124 4.44089209850063e-16
+24 0 0 0 0 36 48 128 4.44089209850063e-16
+24 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_y.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_y.xl
new file mode 100644
index 000000000..4954a39ff
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_y.xl
@@ -0,0 +1,1082 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 -4.44089209850063e-16
+0 0 2 0 0 28 48 64 -4.44089209850063e-16
+0 0 2 0 0 29 48 64 -4.44089209850063e-16
+0 0 2 0 0 30 48 64 -4.44089209850063e-16
+0 0 2 0 0 31 48 64 -4.44089209850063e-16
+0 0 2 0 0 32 48 64 -4.44089209850063e-16
+0 0 2 0 0 33 48 64 -4.44089209850063e-16
+0 0 2 0 0 34 48 64 -4.44089209850063e-16
+0 0 2 0 0 35 48 64 -4.44089209850063e-16
+0 0 2 0 0 36 48 64 -4.44089209850063e-16
+0 0 2 0 0 37 48 64 -4.44089209850063e-16
+0 0 2 0 0 38 48 64 -4.44089209850063e-16
+0 0 2 0 0 39 48 64 -4.44089209850063e-16
+0 0 2 0 0 40 48 64 -4.44089209850063e-16
+0 0 2 0 0 41 48 64 -4.44089209850063e-16
+0 0 2 0 0 42 48 64 -4.44089209850063e-16
+0 0 2 0 0 43 48 64 -4.44089209850063e-16
+0 0 2 0 0 44 48 64 -4.44089209850063e-16
+0 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -4.44089209850063e-16
+0 0 1 0 0 20 48 64 -4.44089209850063e-16
+0 0 1 0 0 22 48 64 -4.44089209850063e-16
+0 0 1 0 0 24 48 64 -4.44089209850063e-16
+0 0 1 0 0 26 48 64 -4.44089209850063e-16
+0 0 1 0 0 28 48 64 -4.44089209850063e-16
+0 0 1 0 0 30 48 64 -4.44089209850063e-16
+0 0 1 0 0 32 48 64 -4.44089209850063e-16
+0 0 1 0 0 34 48 64 -4.44089209850063e-16
+0 0 1 0 0 36 48 64 -4.44089209850063e-16
+0 0 1 0 0 38 48 64 -4.44089209850063e-16
+0 0 1 0 0 40 48 64 -4.44089209850063e-16
+0 0 1 0 0 42 48 64 -4.44089209850063e-16
+0 0 1 0 0 44 48 64 -4.44089209850063e-16
+0 0 1 0 0 46 48 64 -4.44089209850063e-16
+0 0 1 0 0 48 48 64 -4.44089209850063e-16
+0 0 1 0 0 50 48 64 -4.44089209850063e-16
+0 0 1 0 0 52 48 64 -4.44089209850063e-16
+0 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -4.44089209850063e-16
+0 0 0 0 0 4 48 64 -4.44089209850063e-16
+0 0 0 0 0 8 48 64 -4.44089209850063e-16
+0 0 0 0 0 12 48 64 -4.44089209850063e-16
+0 0 0 0 0 16 48 64 -4.44089209850063e-16
+0 0 0 0 0 20 48 64 -4.44089209850063e-16
+0 0 0 0 0 24 48 64 -4.44089209850063e-16
+0 0 0 0 0 28 48 64 -4.44089209850063e-16
+0 0 0 0 0 32 48 64 -4.44089209850063e-16
+0 0 0 0 0 36 48 64 -4.44089209850063e-16
+0 0 0 0 0 40 48 64 -4.44089209850063e-16
+0 0 0 0 0 44 48 64 -4.44089209850063e-16
+0 0 0 0 0 48 48 64 -4.44089209850063e-16
+0 0 0 0 0 52 48 64 -4.44089209850063e-16
+0 0 0 0 0 56 48 64 -4.44089209850063e-16
+0 0 0 0 0 60 48 64 -4.44089209850063e-16
+0 0 0 0 0 64 48 64 -4.44089209850063e-16
+0 0 0 0 0 68 48 64 -4.44089209850063e-16
+0 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 -4.44089209850063e-16
+1 0 2 0 0 28 48 64 -4.44089209850063e-16
+1 0 2 0 0 29 48 64 -4.44089209850063e-16
+1 0 2 0 0 30 48 64 -4.44089209850063e-16
+1 0 2 0 0 31 48 64 -4.44089209850063e-16
+1 0 2 0 0 32 48 64 -4.44089209850063e-16
+1 0 2 0 0 33 48 64 -4.44089209850063e-16
+1 0 2 0 0 34 48 64 -4.44089209850063e-16
+1 0 2 0 0 35 48 64 -4.44089209850063e-16
+1 0 2 0 0 36 48 64 -4.44089209850063e-16
+1 0 2 0 0 37 48 64 -4.44089209850063e-16
+1 0 2 0 0 38 48 64 -4.44089209850063e-16
+1 0 2 0 0 39 48 64 -4.44089209850063e-16
+1 0 2 0 0 40 48 64 -4.44089209850063e-16
+1 0 2 0 0 41 48 64 -4.44089209850063e-16
+1 0 2 0 0 42 48 64 -4.44089209850063e-16
+1 0 2 0 0 43 48 64 -4.44089209850063e-16
+1 0 2 0 0 44 48 64 -4.44089209850063e-16
+1 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 -4.44089209850063e-16
+2 0 2 0 0 28 48 64 -4.44089209850063e-16
+2 0 2 0 0 29 48 64 -4.44089209850063e-16
+2 0 2 0 0 30 48 64 -4.44089209850063e-16
+2 0 2 0 0 31 48 64 -4.44089209850063e-16
+2 0 2 0 0 32 48 64 -4.44089209850063e-16
+2 0 2 0 0 33 48 64 -4.44089209850063e-16
+2 0 2 0 0 34 48 64 -4.44089209850063e-16
+2 0 2 0 0 35 48 64 -4.44089209850063e-16
+2 0 2 0 0 36 48 64 -4.44089209850063e-16
+2 0 2 0 0 37 48 64 -4.44089209850063e-16
+2 0 2 0 0 38 48 64 -4.44089209850063e-16
+2 0 2 0 0 39 48 64 -4.44089209850063e-16
+2 0 2 0 0 40 48 64 -4.44089209850063e-16
+2 0 2 0 0 41 48 64 -4.44089209850063e-16
+2 0 2 0 0 42 48 64 -4.44089209850063e-16
+2 0 2 0 0 43 48 64 -4.44089209850063e-16
+2 0 2 0 0 44 48 64 -4.44089209850063e-16
+2 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -4.44089209850063e-16
+2 0 1 0 0 20 48 64 -4.44089209850063e-16
+2 0 1 0 0 22 48 64 -4.44089209850063e-16
+2 0 1 0 0 24 48 64 -4.44089209850063e-16
+2 0 1 0 0 26 48 64 -4.44089209850063e-16
+2 0 1 0 0 28 48 64 -4.44089209850063e-16
+2 0 1 0 0 30 48 64 -4.44089209850063e-16
+2 0 1 0 0 32 48 64 -4.44089209850063e-16
+2 0 1 0 0 34 48 64 -4.44089209850063e-16
+2 0 1 0 0 36 48 64 -4.44089209850063e-16
+2 0 1 0 0 38 48 64 -4.44089209850063e-16
+2 0 1 0 0 40 48 64 -4.44089209850063e-16
+2 0 1 0 0 42 48 64 -4.44089209850063e-16
+2 0 1 0 0 44 48 64 -4.44089209850063e-16
+2 0 1 0 0 46 48 64 -4.44089209850063e-16
+2 0 1 0 0 48 48 64 -4.44089209850063e-16
+2 0 1 0 0 50 48 64 -4.44089209850063e-16
+2 0 1 0 0 52 48 64 -4.44089209850063e-16
+2 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 -4.44089209850063e-16
+3 0 2 0 0 28 48 64 -4.44089209850063e-16
+3 0 2 0 0 29 48 64 -4.44089209850063e-16
+3 0 2 0 0 30 48 64 -4.44089209850063e-16
+3 0 2 0 0 31 48 64 -4.44089209850063e-16
+3 0 2 0 0 32 48 64 -4.44089209850063e-16
+3 0 2 0 0 33 48 64 -4.44089209850063e-16
+3 0 2 0 0 34 48 64 -4.44089209850063e-16
+3 0 2 0 0 35 48 64 -4.44089209850063e-16
+3 0 2 0 0 36 48 64 -4.44089209850063e-16
+3 0 2 0 0 37 48 64 -4.44089209850063e-16
+3 0 2 0 0 38 48 64 -4.44089209850063e-16
+3 0 2 0 0 39 48 64 -4.44089209850063e-16
+3 0 2 0 0 40 48 64 -4.44089209850063e-16
+3 0 2 0 0 41 48 64 -4.44089209850063e-16
+3 0 2 0 0 42 48 64 -4.44089209850063e-16
+3 0 2 0 0 43 48 64 -4.44089209850063e-16
+3 0 2 0 0 44 48 64 -4.44089209850063e-16
+3 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 -4.44089209850063e-16
+4 0 2 0 0 28 48 64 -4.44089209850063e-16
+4 0 2 0 0 29 48 64 -4.44089209850063e-16
+4 0 2 0 0 30 48 64 -4.44089209850063e-16
+4 0 2 0 0 31 48 64 -4.44089209850063e-16
+4 0 2 0 0 32 48 64 -4.44089209850063e-16
+4 0 2 0 0 33 48 64 -4.44089209850063e-16
+4 0 2 0 0 34 48 64 -4.44089209850063e-16
+4 0 2 0 0 35 48 64 -4.44089209850063e-16
+4 0 2 0 0 36 48 64 -4.44089209850063e-16
+4 0 2 0 0 37 48 64 -4.44089209850063e-16
+4 0 2 0 0 38 48 64 -4.44089209850063e-16
+4 0 2 0 0 39 48 64 -4.44089209850063e-16
+4 0 2 0 0 40 48 64 -4.44089209850063e-16
+4 0 2 0 0 41 48 64 -4.44089209850063e-16
+4 0 2 0 0 42 48 64 -4.44089209850063e-16
+4 0 2 0 0 43 48 64 -4.44089209850063e-16
+4 0 2 0 0 44 48 64 -4.44089209850063e-16
+4 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 -4.44089209850063e-16
+4 0 1 0 0 20 48 64 -4.44089209850063e-16
+4 0 1 0 0 22 48 64 -4.44089209850063e-16
+4 0 1 0 0 24 48 64 -4.44089209850063e-16
+4 0 1 0 0 26 48 64 -4.44089209850063e-16
+4 0 1 0 0 28 48 64 -4.44089209850063e-16
+4 0 1 0 0 30 48 64 -4.44089209850063e-16
+4 0 1 0 0 32 48 64 -4.44089209850063e-16
+4 0 1 0 0 34 48 64 -4.44089209850063e-16
+4 0 1 0 0 36 48 64 -4.44089209850063e-16
+4 0 1 0 0 38 48 64 -4.44089209850063e-16
+4 0 1 0 0 40 48 64 -4.44089209850063e-16
+4 0 1 0 0 42 48 64 -4.44089209850063e-16
+4 0 1 0 0 44 48 64 -4.44089209850063e-16
+4 0 1 0 0 46 48 64 -4.44089209850063e-16
+4 0 1 0 0 48 48 64 -4.44089209850063e-16
+4 0 1 0 0 50 48 64 -4.44089209850063e-16
+4 0 1 0 0 52 48 64 -4.44089209850063e-16
+4 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -4.44089209850063e-16
+4 0 0 0 0 4 48 64 -4.44089209850063e-16
+4 0 0 0 0 8 48 64 -4.44089209850063e-16
+4 0 0 0 0 12 48 64 -4.44089209850063e-16
+4 0 0 0 0 16 48 64 -4.44089209850063e-16
+4 0 0 0 0 20 48 64 -4.44089209850063e-16
+4 0 0 0 0 24 48 64 -4.44089209850063e-16
+4 0 0 0 0 28 48 64 -4.44089209850063e-16
+4 0 0 0 0 32 48 64 -4.44089209850063e-16
+4 0 0 0 0 36 48 64 -4.44089209850063e-16
+4 0 0 0 0 40 48 64 -4.44089209850063e-16
+4 0 0 0 0 44 48 64 -4.44089209850063e-16
+4 0 0 0 0 48 48 64 -4.44089209850063e-16
+4 0 0 0 0 52 48 64 -4.44089209850063e-16
+4 0 0 0 0 56 48 64 -4.44089209850063e-16
+4 0 0 0 0 60 48 64 -4.44089209850063e-16
+4 0 0 0 0 64 48 64 -4.44089209850063e-16
+4 0 0 0 0 68 48 64 -4.44089209850063e-16
+4 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 -4.44089209850063e-16
+5 0 2 0 0 28 48 64 -4.44089209850063e-16
+5 0 2 0 0 29 48 64 -4.44089209850063e-16
+5 0 2 0 0 30 48 64 -4.44089209850063e-16
+5 0 2 0 0 31 48 64 -4.44089209850063e-16
+5 0 2 0 0 32 48 64 -4.44089209850063e-16
+5 0 2 0 0 33 48 64 -4.44089209850063e-16
+5 0 2 0 0 34 48 64 -4.44089209850063e-16
+5 0 2 0 0 35 48 64 -4.44089209850063e-16
+5 0 2 0 0 36 48 64 -4.44089209850063e-16
+5 0 2 0 0 37 48 64 -4.44089209850063e-16
+5 0 2 0 0 38 48 64 -4.44089209850063e-16
+5 0 2 0 0 39 48 64 -4.44089209850063e-16
+5 0 2 0 0 40 48 64 -4.44089209850063e-16
+5 0 2 0 0 41 48 64 -4.44089209850063e-16
+5 0 2 0 0 42 48 64 -4.44089209850063e-16
+5 0 2 0 0 43 48 64 -4.44089209850063e-16
+5 0 2 0 0 44 48 64 -4.44089209850063e-16
+5 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 -4.44089209850063e-16
+6 0 2 0 0 28 48 64 -4.44089209850063e-16
+6 0 2 0 0 29 48 64 -4.44089209850063e-16
+6 0 2 0 0 30 48 64 -4.44089209850063e-16
+6 0 2 0 0 31 48 64 -4.44089209850063e-16
+6 0 2 0 0 32 48 64 -4.44089209850063e-16
+6 0 2 0 0 33 48 64 -4.44089209850063e-16
+6 0 2 0 0 34 48 64 -4.44089209850063e-16
+6 0 2 0 0 35 48 64 -4.44089209850063e-16
+6 0 2 0 0 36 48 64 -4.44089209850063e-16
+6 0 2 0 0 37 48 64 -4.44089209850063e-16
+6 0 2 0 0 38 48 64 -4.44089209850063e-16
+6 0 2 0 0 39 48 64 -4.44089209850063e-16
+6 0 2 0 0 40 48 64 -4.44089209850063e-16
+6 0 2 0 0 41 48 64 -4.44089209850063e-16
+6 0 2 0 0 42 48 64 -4.44089209850063e-16
+6 0 2 0 0 43 48 64 -4.44089209850063e-16
+6 0 2 0 0 44 48 64 -4.44089209850063e-16
+6 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 -4.44089209850063e-16
+6 0 1 0 0 20 48 64 -4.44089209850063e-16
+6 0 1 0 0 22 48 64 -4.44089209850063e-16
+6 0 1 0 0 24 48 64 -4.44089209850063e-16
+6 0 1 0 0 26 48 64 -4.44089209850063e-16
+6 0 1 0 0 28 48 64 -4.44089209850063e-16
+6 0 1 0 0 30 48 64 -4.44089209850063e-16
+6 0 1 0 0 32 48 64 -4.44089209850063e-16
+6 0 1 0 0 34 48 64 -4.44089209850063e-16
+6 0 1 0 0 36 48 64 -4.44089209850063e-16
+6 0 1 0 0 38 48 64 -4.44089209850063e-16
+6 0 1 0 0 40 48 64 -4.44089209850063e-16
+6 0 1 0 0 42 48 64 -4.44089209850063e-16
+6 0 1 0 0 44 48 64 -4.44089209850063e-16
+6 0 1 0 0 46 48 64 -4.44089209850063e-16
+6 0 1 0 0 48 48 64 -4.44089209850063e-16
+6 0 1 0 0 50 48 64 -4.44089209850063e-16
+6 0 1 0 0 52 48 64 -4.44089209850063e-16
+6 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 -4.44089209850063e-16
+7 0 2 0 0 28 48 64 -4.44089209850063e-16
+7 0 2 0 0 29 48 64 -4.44089209850063e-16
+7 0 2 0 0 30 48 64 -4.44089209850063e-16
+7 0 2 0 0 31 48 64 -4.44089209850063e-16
+7 0 2 0 0 32 48 64 -4.44089209850063e-16
+7 0 2 0 0 33 48 64 -4.44089209850063e-16
+7 0 2 0 0 34 48 64 -4.44089209850063e-16
+7 0 2 0 0 35 48 64 -4.44089209850063e-16
+7 0 2 0 0 36 48 64 -4.44089209850063e-16
+7 0 2 0 0 37 48 64 -4.44089209850063e-16
+7 0 2 0 0 38 48 64 -4.44089209850063e-16
+7 0 2 0 0 39 48 64 -4.44089209850063e-16
+7 0 2 0 0 40 48 64 -4.44089209850063e-16
+7 0 2 0 0 41 48 64 -4.44089209850063e-16
+7 0 2 0 0 42 48 64 -4.44089209850063e-16
+7 0 2 0 0 43 48 64 -4.44089209850063e-16
+7 0 2 0 0 44 48 64 -4.44089209850063e-16
+7 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 -4.44089209850063e-16
+8 0 2 0 0 28 48 64 -4.44089209850063e-16
+8 0 2 0 0 29 48 64 -4.44089209850063e-16
+8 0 2 0 0 30 48 64 -4.44089209850063e-16
+8 0 2 0 0 31 48 64 -4.44089209850063e-16
+8 0 2 0 0 32 48 64 -4.44089209850063e-16
+8 0 2 0 0 33 48 64 -4.44089209850063e-16
+8 0 2 0 0 34 48 64 -4.44089209850063e-16
+8 0 2 0 0 35 48 64 -4.44089209850063e-16
+8 0 2 0 0 36 48 64 -4.44089209850063e-16
+8 0 2 0 0 37 48 64 -4.44089209850063e-16
+8 0 2 0 0 38 48 64 -4.44089209850063e-16
+8 0 2 0 0 39 48 64 -4.44089209850063e-16
+8 0 2 0 0 40 48 64 -4.44089209850063e-16
+8 0 2 0 0 41 48 64 -4.44089209850063e-16
+8 0 2 0 0 42 48 64 -4.44089209850063e-16
+8 0 2 0 0 43 48 64 -4.44089209850063e-16
+8 0 2 0 0 44 48 64 -4.44089209850063e-16
+8 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 -4.44089209850063e-16
+8 0 1 0 0 20 48 64 -4.44089209850063e-16
+8 0 1 0 0 22 48 64 -4.44089209850063e-16
+8 0 1 0 0 24 48 64 -4.44089209850063e-16
+8 0 1 0 0 26 48 64 -4.44089209850063e-16
+8 0 1 0 0 28 48 64 -4.44089209850063e-16
+8 0 1 0 0 30 48 64 -4.44089209850063e-16
+8 0 1 0 0 32 48 64 -4.44089209850063e-16
+8 0 1 0 0 34 48 64 -4.44089209850063e-16
+8 0 1 0 0 36 48 64 -4.44089209850063e-16
+8 0 1 0 0 38 48 64 -4.44089209850063e-16
+8 0 1 0 0 40 48 64 -4.44089209850063e-16
+8 0 1 0 0 42 48 64 -4.44089209850063e-16
+8 0 1 0 0 44 48 64 -4.44089209850063e-16
+8 0 1 0 0 46 48 64 -4.44089209850063e-16
+8 0 1 0 0 48 48 64 -4.44089209850063e-16
+8 0 1 0 0 50 48 64 -4.44089209850063e-16
+8 0 1 0 0 52 48 64 -4.44089209850063e-16
+8 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -4.44089209850063e-16
+8 0 0 0 0 4 48 64 -4.44089209850063e-16
+8 0 0 0 0 8 48 64 -4.44089209850063e-16
+8 0 0 0 0 12 48 64 -4.44089209850063e-16
+8 0 0 0 0 16 48 64 -4.44089209850063e-16
+8 0 0 0 0 20 48 64 -4.44089209850063e-16
+8 0 0 0 0 24 48 64 -4.44089209850063e-16
+8 0 0 0 0 28 48 64 -4.44089209850063e-16
+8 0 0 0 0 32 48 64 -4.44089209850063e-16
+8 0 0 0 0 36 48 64 -4.44089209850063e-16
+8 0 0 0 0 40 48 64 -4.44089209850063e-16
+8 0 0 0 0 44 48 64 -4.44089209850063e-16
+8 0 0 0 0 48 48 64 -4.44089209850063e-16
+8 0 0 0 0 52 48 64 -4.44089209850063e-16
+8 0 0 0 0 56 48 64 -4.44089209850063e-16
+8 0 0 0 0 60 48 64 -4.44089209850063e-16
+8 0 0 0 0 64 48 64 -4.44089209850063e-16
+8 0 0 0 0 68 48 64 -4.44089209850063e-16
+8 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 -4.44089209850063e-16
+9 0 2 0 0 28 48 64 -4.44089209850063e-16
+9 0 2 0 0 29 48 64 -4.44089209850063e-16
+9 0 2 0 0 30 48 64 -4.44089209850063e-16
+9 0 2 0 0 31 48 64 -4.44089209850063e-16
+9 0 2 0 0 32 48 64 -4.44089209850063e-16
+9 0 2 0 0 33 48 64 -4.44089209850063e-16
+9 0 2 0 0 34 48 64 -4.44089209850063e-16
+9 0 2 0 0 35 48 64 -4.44089209850063e-16
+9 0 2 0 0 36 48 64 -4.44089209850063e-16
+9 0 2 0 0 37 48 64 -4.44089209850063e-16
+9 0 2 0 0 38 48 64 -4.44089209850063e-16
+9 0 2 0 0 39 48 64 -4.44089209850063e-16
+9 0 2 0 0 40 48 64 -4.44089209850063e-16
+9 0 2 0 0 41 48 64 -4.44089209850063e-16
+9 0 2 0 0 42 48 64 -4.44089209850063e-16
+9 0 2 0 0 43 48 64 -4.44089209850063e-16
+9 0 2 0 0 44 48 64 -4.44089209850063e-16
+9 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 -4.44089209850063e-16
+10 0 2 0 0 28 48 64 -4.44089209850063e-16
+10 0 2 0 0 29 48 64 -4.44089209850063e-16
+10 0 2 0 0 30 48 64 -4.44089209850063e-16
+10 0 2 0 0 31 48 64 -4.44089209850063e-16
+10 0 2 0 0 32 48 64 -4.44089209850063e-16
+10 0 2 0 0 33 48 64 -4.44089209850063e-16
+10 0 2 0 0 34 48 64 -4.44089209850063e-16
+10 0 2 0 0 35 48 64 -4.44089209850063e-16
+10 0 2 0 0 36 48 64 -4.44089209850063e-16
+10 0 2 0 0 37 48 64 -4.44089209850063e-16
+10 0 2 0 0 38 48 64 -4.44089209850063e-16
+10 0 2 0 0 39 48 64 -4.44089209850063e-16
+10 0 2 0 0 40 48 64 -4.44089209850063e-16
+10 0 2 0 0 41 48 64 -4.44089209850063e-16
+10 0 2 0 0 42 48 64 -4.44089209850063e-16
+10 0 2 0 0 43 48 64 -4.44089209850063e-16
+10 0 2 0 0 44 48 64 -4.44089209850063e-16
+10 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 -4.44089209850063e-16
+10 0 1 0 0 20 48 64 -4.44089209850063e-16
+10 0 1 0 0 22 48 64 -4.44089209850063e-16
+10 0 1 0 0 24 48 64 -4.44089209850063e-16
+10 0 1 0 0 26 48 64 -4.44089209850063e-16
+10 0 1 0 0 28 48 64 -4.44089209850063e-16
+10 0 1 0 0 30 48 64 -4.44089209850063e-16
+10 0 1 0 0 32 48 64 -4.44089209850063e-16
+10 0 1 0 0 34 48 64 -4.44089209850063e-16
+10 0 1 0 0 36 48 64 -4.44089209850063e-16
+10 0 1 0 0 38 48 64 -4.44089209850063e-16
+10 0 1 0 0 40 48 64 -4.44089209850063e-16
+10 0 1 0 0 42 48 64 -4.44089209850063e-16
+10 0 1 0 0 44 48 64 -4.44089209850063e-16
+10 0 1 0 0 46 48 64 -4.44089209850063e-16
+10 0 1 0 0 48 48 64 -4.44089209850063e-16
+10 0 1 0 0 50 48 64 -4.44089209850063e-16
+10 0 1 0 0 52 48 64 -4.44089209850063e-16
+10 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 -4.44089209850063e-16
+11 0 2 0 0 28 48 64 -4.44089209850063e-16
+11 0 2 0 0 29 48 64 -4.44089209850063e-16
+11 0 2 0 0 30 48 64 -4.44089209850063e-16
+11 0 2 0 0 31 48 64 -4.44089209850063e-16
+11 0 2 0 0 32 48 64 -4.44089209850063e-16
+11 0 2 0 0 33 48 64 -4.44089209850063e-16
+11 0 2 0 0 34 48 64 -4.44089209850063e-16
+11 0 2 0 0 35 48 64 -4.44089209850063e-16
+11 0 2 0 0 36 48 64 -4.44089209850063e-16
+11 0 2 0 0 37 48 64 -4.44089209850063e-16
+11 0 2 0 0 38 48 64 -4.44089209850063e-16
+11 0 2 0 0 39 48 64 -4.44089209850063e-16
+11 0 2 0 0 40 48 64 -4.44089209850063e-16
+11 0 2 0 0 41 48 64 -4.44089209850063e-16
+11 0 2 0 0 42 48 64 -4.44089209850063e-16
+11 0 2 0 0 43 48 64 -4.44089209850063e-16
+11 0 2 0 0 44 48 64 -4.44089209850063e-16
+11 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 -4.44089209850063e-16
+12 0 2 0 0 28 48 64 -4.44089209850063e-16
+12 0 2 0 0 29 48 64 -4.44089209850063e-16
+12 0 2 0 0 30 48 64 -4.44089209850063e-16
+12 0 2 0 0 31 48 64 -4.44089209850063e-16
+12 0 2 0 0 32 48 64 -4.44089209850063e-16
+12 0 2 0 0 33 48 64 -4.44089209850063e-16
+12 0 2 0 0 34 48 64 -4.44089209850063e-16
+12 0 2 0 0 35 48 64 -4.44089209850063e-16
+12 0 2 0 0 36 48 64 -4.44089209850063e-16
+12 0 2 0 0 37 48 64 -4.44089209850063e-16
+12 0 2 0 0 38 48 64 -4.44089209850063e-16
+12 0 2 0 0 39 48 64 -4.44089209850063e-16
+12 0 2 0 0 40 48 64 -4.44089209850063e-16
+12 0 2 0 0 41 48 64 -4.44089209850063e-16
+12 0 2 0 0 42 48 64 -4.44089209850063e-16
+12 0 2 0 0 43 48 64 -4.44089209850063e-16
+12 0 2 0 0 44 48 64 -4.44089209850063e-16
+12 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 -4.44089209850063e-16
+12 0 1 0 0 20 48 64 -4.44089209850063e-16
+12 0 1 0 0 22 48 64 -4.44089209850063e-16
+12 0 1 0 0 24 48 64 -4.44089209850063e-16
+12 0 1 0 0 26 48 64 -4.44089209850063e-16
+12 0 1 0 0 28 48 64 -4.44089209850063e-16
+12 0 1 0 0 30 48 64 -4.44089209850063e-16
+12 0 1 0 0 32 48 64 -4.44089209850063e-16
+12 0 1 0 0 34 48 64 -4.44089209850063e-16
+12 0 1 0 0 36 48 64 -4.44089209850063e-16
+12 0 1 0 0 38 48 64 -4.44089209850063e-16
+12 0 1 0 0 40 48 64 -4.44089209850063e-16
+12 0 1 0 0 42 48 64 -4.44089209850063e-16
+12 0 1 0 0 44 48 64 -4.44089209850063e-16
+12 0 1 0 0 46 48 64 -4.44089209850063e-16
+12 0 1 0 0 48 48 64 -4.44089209850063e-16
+12 0 1 0 0 50 48 64 -4.44089209850063e-16
+12 0 1 0 0 52 48 64 -4.44089209850063e-16
+12 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -4.44089209850063e-16
+12 0 0 0 0 4 48 64 -4.44089209850063e-16
+12 0 0 0 0 8 48 64 -4.44089209850063e-16
+12 0 0 0 0 12 48 64 -4.44089209850063e-16
+12 0 0 0 0 16 48 64 -4.44089209850063e-16
+12 0 0 0 0 20 48 64 -4.44089209850063e-16
+12 0 0 0 0 24 48 64 -4.44089209850063e-16
+12 0 0 0 0 28 48 64 -4.44089209850063e-16
+12 0 0 0 0 32 48 64 -4.44089209850063e-16
+12 0 0 0 0 36 48 64 -4.44089209850063e-16
+12 0 0 0 0 40 48 64 -4.44089209850063e-16
+12 0 0 0 0 44 48 64 -4.44089209850063e-16
+12 0 0 0 0 48 48 64 -4.44089209850063e-16
+12 0 0 0 0 52 48 64 -4.44089209850063e-16
+12 0 0 0 0 56 48 64 -4.44089209850063e-16
+12 0 0 0 0 60 48 64 -4.44089209850063e-16
+12 0 0 0 0 64 48 64 -4.44089209850063e-16
+12 0 0 0 0 68 48 64 -4.44089209850063e-16
+12 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 -4.44089209850063e-16
+13 0 2 0 0 28 48 64 -4.44089209850063e-16
+13 0 2 0 0 29 48 64 -4.44089209850063e-16
+13 0 2 0 0 30 48 64 -4.44089209850063e-16
+13 0 2 0 0 31 48 64 -4.44089209850063e-16
+13 0 2 0 0 32 48 64 -4.44089209850063e-16
+13 0 2 0 0 33 48 64 -4.44089209850063e-16
+13 0 2 0 0 34 48 64 -4.44089209850063e-16
+13 0 2 0 0 35 48 64 -4.44089209850063e-16
+13 0 2 0 0 36 48 64 -4.44089209850063e-16
+13 0 2 0 0 37 48 64 -4.44089209850063e-16
+13 0 2 0 0 38 48 64 -4.44089209850063e-16
+13 0 2 0 0 39 48 64 -4.44089209850063e-16
+13 0 2 0 0 40 48 64 -4.44089209850063e-16
+13 0 2 0 0 41 48 64 -4.44089209850063e-16
+13 0 2 0 0 42 48 64 -4.44089209850063e-16
+13 0 2 0 0 43 48 64 -4.44089209850063e-16
+13 0 2 0 0 44 48 64 -4.44089209850063e-16
+13 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 -4.44089209850063e-16
+14 0 2 0 0 28 48 64 -4.44089209850063e-16
+14 0 2 0 0 29 48 64 -4.44089209850063e-16
+14 0 2 0 0 30 48 64 -4.44089209850063e-16
+14 0 2 0 0 31 48 64 -4.44089209850063e-16
+14 0 2 0 0 32 48 64 -4.44089209850063e-16
+14 0 2 0 0 33 48 64 -4.44089209850063e-16
+14 0 2 0 0 34 48 64 -4.44089209850063e-16
+14 0 2 0 0 35 48 64 -4.44089209850063e-16
+14 0 2 0 0 36 48 64 -4.44089209850063e-16
+14 0 2 0 0 37 48 64 -4.44089209850063e-16
+14 0 2 0 0 38 48 64 -4.44089209850063e-16
+14 0 2 0 0 39 48 64 -4.44089209850063e-16
+14 0 2 0 0 40 48 64 -4.44089209850063e-16
+14 0 2 0 0 41 48 64 -4.44089209850063e-16
+14 0 2 0 0 42 48 64 -4.44089209850063e-16
+14 0 2 0 0 43 48 64 -4.44089209850063e-16
+14 0 2 0 0 44 48 64 -4.44089209850063e-16
+14 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 -4.44089209850063e-16
+14 0 1 0 0 20 48 64 -4.44089209850063e-16
+14 0 1 0 0 22 48 64 -4.44089209850063e-16
+14 0 1 0 0 24 48 64 -4.44089209850063e-16
+14 0 1 0 0 26 48 64 -4.44089209850063e-16
+14 0 1 0 0 28 48 64 -4.44089209850063e-16
+14 0 1 0 0 30 48 64 -4.44089209850063e-16
+14 0 1 0 0 32 48 64 -4.44089209850063e-16
+14 0 1 0 0 34 48 64 -4.44089209850063e-16
+14 0 1 0 0 36 48 64 -4.44089209850063e-16
+14 0 1 0 0 38 48 64 -4.44089209850063e-16
+14 0 1 0 0 40 48 64 -4.44089209850063e-16
+14 0 1 0 0 42 48 64 -4.44089209850063e-16
+14 0 1 0 0 44 48 64 -4.44089209850063e-16
+14 0 1 0 0 46 48 64 -4.44089209850063e-16
+14 0 1 0 0 48 48 64 -4.44089209850063e-16
+14 0 1 0 0 50 48 64 -4.44089209850063e-16
+14 0 1 0 0 52 48 64 -4.44089209850063e-16
+14 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 -4.44089209850063e-16
+15 0 2 0 0 28 48 64 -4.44089209850063e-16
+15 0 2 0 0 29 48 64 -4.44089209850063e-16
+15 0 2 0 0 30 48 64 -4.44089209850063e-16
+15 0 2 0 0 31 48 64 -4.44089209850063e-16
+15 0 2 0 0 32 48 64 -4.44089209850063e-16
+15 0 2 0 0 33 48 64 -4.44089209850063e-16
+15 0 2 0 0 34 48 64 -4.44089209850063e-16
+15 0 2 0 0 35 48 64 -4.44089209850063e-16
+15 0 2 0 0 36 48 64 -4.44089209850063e-16
+15 0 2 0 0 37 48 64 -4.44089209850063e-16
+15 0 2 0 0 38 48 64 -4.44089209850063e-16
+15 0 2 0 0 39 48 64 -4.44089209850063e-16
+15 0 2 0 0 40 48 64 -4.44089209850063e-16
+15 0 2 0 0 41 48 64 -4.44089209850063e-16
+15 0 2 0 0 42 48 64 -4.44089209850063e-16
+15 0 2 0 0 43 48 64 -4.44089209850063e-16
+15 0 2 0 0 44 48 64 -4.44089209850063e-16
+15 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 -4.44089209850063e-16
+16 0 2 0 0 28 48 64 -4.44089209850063e-16
+16 0 2 0 0 29 48 64 -4.44089209850063e-16
+16 0 2 0 0 30 48 64 -4.44089209850063e-16
+16 0 2 0 0 31 48 64 -4.44089209850063e-16
+16 0 2 0 0 32 48 64 -4.44089209850063e-16
+16 0 2 0 0 33 48 64 -4.44089209850063e-16
+16 0 2 0 0 34 48 64 -4.44089209850063e-16
+16 0 2 0 0 35 48 64 -4.44089209850063e-16
+16 0 2 0 0 36 48 64 -4.44089209850063e-16
+16 0 2 0 0 37 48 64 -4.44089209850063e-16
+16 0 2 0 0 38 48 64 -4.44089209850063e-16
+16 0 2 0 0 39 48 64 -4.44089209850063e-16
+16 0 2 0 0 40 48 64 -4.44089209850063e-16
+16 0 2 0 0 41 48 64 -4.44089209850063e-16
+16 0 2 0 0 42 48 64 -4.44089209850063e-16
+16 0 2 0 0 43 48 64 -4.44089209850063e-16
+16 0 2 0 0 44 48 64 -4.44089209850063e-16
+16 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 -4.44089209850063e-16
+16 0 1 0 0 20 48 64 -4.44089209850063e-16
+16 0 1 0 0 22 48 64 -4.44089209850063e-16
+16 0 1 0 0 24 48 64 -4.44089209850063e-16
+16 0 1 0 0 26 48 64 -4.44089209850063e-16
+16 0 1 0 0 28 48 64 -4.44089209850063e-16
+16 0 1 0 0 30 48 64 -4.44089209850063e-16
+16 0 1 0 0 32 48 64 -4.44089209850063e-16
+16 0 1 0 0 34 48 64 -4.44089209850063e-16
+16 0 1 0 0 36 48 64 -4.44089209850063e-16
+16 0 1 0 0 38 48 64 -4.44089209850063e-16
+16 0 1 0 0 40 48 64 -4.44089209850063e-16
+16 0 1 0 0 42 48 64 -4.44089209850063e-16
+16 0 1 0 0 44 48 64 -4.44089209850063e-16
+16 0 1 0 0 46 48 64 -4.44089209850063e-16
+16 0 1 0 0 48 48 64 -4.44089209850063e-16
+16 0 1 0 0 50 48 64 -4.44089209850063e-16
+16 0 1 0 0 52 48 64 -4.44089209850063e-16
+16 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -4.44089209850063e-16
+16 0 0 0 0 4 48 64 -4.44089209850063e-16
+16 0 0 0 0 8 48 64 -4.44089209850063e-16
+16 0 0 0 0 12 48 64 -4.44089209850063e-16
+16 0 0 0 0 16 48 64 -4.44089209850063e-16
+16 0 0 0 0 20 48 64 -4.44089209850063e-16
+16 0 0 0 0 24 48 64 -4.44089209850063e-16
+16 0 0 0 0 28 48 64 -4.44089209850063e-16
+16 0 0 0 0 32 48 64 -4.44089209850063e-16
+16 0 0 0 0 36 48 64 -4.44089209850063e-16
+16 0 0 0 0 40 48 64 -4.44089209850063e-16
+16 0 0 0 0 44 48 64 -4.44089209850063e-16
+16 0 0 0 0 48 48 64 -4.44089209850063e-16
+16 0 0 0 0 52 48 64 -4.44089209850063e-16
+16 0 0 0 0 56 48 64 -4.44089209850063e-16
+16 0 0 0 0 60 48 64 -4.44089209850063e-16
+16 0 0 0 0 64 48 64 -4.44089209850063e-16
+16 0 0 0 0 68 48 64 -4.44089209850063e-16
+16 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 -4.44089209850063e-16
+17 0 2 0 0 28 48 64 -4.44089209850063e-16
+17 0 2 0 0 29 48 64 -4.44089209850063e-16
+17 0 2 0 0 30 48 64 -4.44089209850063e-16
+17 0 2 0 0 31 48 64 -4.44089209850063e-16
+17 0 2 0 0 32 48 64 -4.44089209850063e-16
+17 0 2 0 0 33 48 64 -4.44089209850063e-16
+17 0 2 0 0 34 48 64 -4.44089209850063e-16
+17 0 2 0 0 35 48 64 -4.44089209850063e-16
+17 0 2 0 0 36 48 64 -4.44089209850063e-16
+17 0 2 0 0 37 48 64 -4.44089209850063e-16
+17 0 2 0 0 38 48 64 -4.44089209850063e-16
+17 0 2 0 0 39 48 64 -4.44089209850063e-16
+17 0 2 0 0 40 48 64 -4.44089209850063e-16
+17 0 2 0 0 41 48 64 -4.44089209850063e-16
+17 0 2 0 0 42 48 64 -4.44089209850063e-16
+17 0 2 0 0 43 48 64 -4.44089209850063e-16
+17 0 2 0 0 44 48 64 -4.44089209850063e-16
+17 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 -4.44089209850063e-16
+18 0 2 0 0 28 48 64 -4.44089209850063e-16
+18 0 2 0 0 29 48 64 -4.44089209850063e-16
+18 0 2 0 0 30 48 64 -4.44089209850063e-16
+18 0 2 0 0 31 48 64 -4.44089209850063e-16
+18 0 2 0 0 32 48 64 -4.44089209850063e-16
+18 0 2 0 0 33 48 64 -4.44089209850063e-16
+18 0 2 0 0 34 48 64 -4.44089209850063e-16
+18 0 2 0 0 35 48 64 -4.44089209850063e-16
+18 0 2 0 0 36 48 64 -4.44089209850063e-16
+18 0 2 0 0 37 48 64 -4.44089209850063e-16
+18 0 2 0 0 38 48 64 -4.44089209850063e-16
+18 0 2 0 0 39 48 64 -4.44089209850063e-16
+18 0 2 0 0 40 48 64 -4.44089209850063e-16
+18 0 2 0 0 41 48 64 -4.44089209850063e-16
+18 0 2 0 0 42 48 64 -4.44089209850063e-16
+18 0 2 0 0 43 48 64 -4.44089209850063e-16
+18 0 2 0 0 44 48 64 -4.44089209850063e-16
+18 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 -4.44089209850063e-16
+18 0 1 0 0 20 48 64 -4.44089209850063e-16
+18 0 1 0 0 22 48 64 -4.44089209850063e-16
+18 0 1 0 0 24 48 64 -4.44089209850063e-16
+18 0 1 0 0 26 48 64 -4.44089209850063e-16
+18 0 1 0 0 28 48 64 -4.44089209850063e-16
+18 0 1 0 0 30 48 64 -4.44089209850063e-16
+18 0 1 0 0 32 48 64 -4.44089209850063e-16
+18 0 1 0 0 34 48 64 -4.44089209850063e-16
+18 0 1 0 0 36 48 64 -4.44089209850063e-16
+18 0 1 0 0 38 48 64 -4.44089209850063e-16
+18 0 1 0 0 40 48 64 -4.44089209850063e-16
+18 0 1 0 0 42 48 64 -4.44089209850063e-16
+18 0 1 0 0 44 48 64 -4.44089209850063e-16
+18 0 1 0 0 46 48 64 -4.44089209850063e-16
+18 0 1 0 0 48 48 64 -4.44089209850063e-16
+18 0 1 0 0 50 48 64 -4.44089209850063e-16
+18 0 1 0 0 52 48 64 -4.44089209850063e-16
+18 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 -4.44089209850063e-16
+19 0 2 0 0 28 48 64 -4.44089209850063e-16
+19 0 2 0 0 29 48 64 -4.44089209850063e-16
+19 0 2 0 0 30 48 64 -4.44089209850063e-16
+19 0 2 0 0 31 48 64 -4.44089209850063e-16
+19 0 2 0 0 32 48 64 -4.44089209850063e-16
+19 0 2 0 0 33 48 64 -4.44089209850063e-16
+19 0 2 0 0 34 48 64 -4.44089209850063e-16
+19 0 2 0 0 35 48 64 -4.44089209850063e-16
+19 0 2 0 0 36 48 64 -4.44089209850063e-16
+19 0 2 0 0 37 48 64 -4.44089209850063e-16
+19 0 2 0 0 38 48 64 -4.44089209850063e-16
+19 0 2 0 0 39 48 64 -4.44089209850063e-16
+19 0 2 0 0 40 48 64 -4.44089209850063e-16
+19 0 2 0 0 41 48 64 -4.44089209850063e-16
+19 0 2 0 0 42 48 64 -4.44089209850063e-16
+19 0 2 0 0 43 48 64 -4.44089209850063e-16
+19 0 2 0 0 44 48 64 -4.44089209850063e-16
+19 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 -4.44089209850063e-16
+20 0 2 0 0 28 48 64 -4.44089209850063e-16
+20 0 2 0 0 29 48 64 -4.44089209850063e-16
+20 0 2 0 0 30 48 64 -4.44089209850063e-16
+20 0 2 0 0 31 48 64 -4.44089209850063e-16
+20 0 2 0 0 32 48 64 -4.44089209850063e-16
+20 0 2 0 0 33 48 64 -4.44089209850063e-16
+20 0 2 0 0 34 48 64 -4.44089209850063e-16
+20 0 2 0 0 35 48 64 -4.44089209850063e-16
+20 0 2 0 0 36 48 64 -4.44089209850063e-16
+20 0 2 0 0 37 48 64 -4.44089209850063e-16
+20 0 2 0 0 38 48 64 -4.44089209850063e-16
+20 0 2 0 0 39 48 64 -4.44089209850063e-16
+20 0 2 0 0 40 48 64 -4.44089209850063e-16
+20 0 2 0 0 41 48 64 -4.44089209850063e-16
+20 0 2 0 0 42 48 64 -4.44089209850063e-16
+20 0 2 0 0 43 48 64 -4.44089209850063e-16
+20 0 2 0 0 44 48 64 -4.44089209850063e-16
+20 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 -4.44089209850063e-16
+20 0 1 0 0 20 48 64 -4.44089209850063e-16
+20 0 1 0 0 22 48 64 -4.44089209850063e-16
+20 0 1 0 0 24 48 64 -4.44089209850063e-16
+20 0 1 0 0 26 48 64 -4.44089209850063e-16
+20 0 1 0 0 28 48 64 -4.44089209850063e-16
+20 0 1 0 0 30 48 64 -4.44089209850063e-16
+20 0 1 0 0 32 48 64 -4.44089209850063e-16
+20 0 1 0 0 34 48 64 -4.44089209850063e-16
+20 0 1 0 0 36 48 64 -4.44089209850063e-16
+20 0 1 0 0 38 48 64 -4.44089209850063e-16
+20 0 1 0 0 40 48 64 -4.44089209850063e-16
+20 0 1 0 0 42 48 64 -4.44089209850063e-16
+20 0 1 0 0 44 48 64 -4.44089209850063e-16
+20 0 1 0 0 46 48 64 -4.44089209850063e-16
+20 0 1 0 0 48 48 64 -4.44089209850063e-16
+20 0 1 0 0 50 48 64 -4.44089209850063e-16
+20 0 1 0 0 52 48 64 -4.44089209850063e-16
+20 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -4.44089209850063e-16
+20 0 0 0 0 4 48 64 -4.44089209850063e-16
+20 0 0 0 0 8 48 64 -4.44089209850063e-16
+20 0 0 0 0 12 48 64 -4.44089209850063e-16
+20 0 0 0 0 16 48 64 -4.44089209850063e-16
+20 0 0 0 0 20 48 64 -4.44089209850063e-16
+20 0 0 0 0 24 48 64 -4.44089209850063e-16
+20 0 0 0 0 28 48 64 -4.44089209850063e-16
+20 0 0 0 0 32 48 64 -4.44089209850063e-16
+20 0 0 0 0 36 48 64 -4.44089209850063e-16
+20 0 0 0 0 40 48 64 -4.44089209850063e-16
+20 0 0 0 0 44 48 64 -4.44089209850063e-16
+20 0 0 0 0 48 48 64 -4.44089209850063e-16
+20 0 0 0 0 52 48 64 -4.44089209850063e-16
+20 0 0 0 0 56 48 64 -4.44089209850063e-16
+20 0 0 0 0 60 48 64 -4.44089209850063e-16
+20 0 0 0 0 64 48 64 -4.44089209850063e-16
+20 0 0 0 0 68 48 64 -4.44089209850063e-16
+20 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 -4.44089209850063e-16
+21 0 2 0 0 28 48 64 -4.44089209850063e-16
+21 0 2 0 0 29 48 64 -4.44089209850063e-16
+21 0 2 0 0 30 48 64 -4.44089209850063e-16
+21 0 2 0 0 31 48 64 -4.44089209850063e-16
+21 0 2 0 0 32 48 64 -4.44089209850063e-16
+21 0 2 0 0 33 48 64 -4.44089209850063e-16
+21 0 2 0 0 34 48 64 -4.44089209850063e-16
+21 0 2 0 0 35 48 64 -4.44089209850063e-16
+21 0 2 0 0 36 48 64 -4.44089209850063e-16
+21 0 2 0 0 37 48 64 -4.44089209850063e-16
+21 0 2 0 0 38 48 64 -4.44089209850063e-16
+21 0 2 0 0 39 48 64 -4.44089209850063e-16
+21 0 2 0 0 40 48 64 -4.44089209850063e-16
+21 0 2 0 0 41 48 64 -4.44089209850063e-16
+21 0 2 0 0 42 48 64 -4.44089209850063e-16
+21 0 2 0 0 43 48 64 -4.44089209850063e-16
+21 0 2 0 0 44 48 64 -4.44089209850063e-16
+21 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 -4.44089209850063e-16
+22 0 2 0 0 28 48 64 -4.44089209850063e-16
+22 0 2 0 0 29 48 64 -4.44089209850063e-16
+22 0 2 0 0 30 48 64 -4.44089209850063e-16
+22 0 2 0 0 31 48 64 -4.44089209850063e-16
+22 0 2 0 0 32 48 64 -4.44089209850063e-16
+22 0 2 0 0 33 48 64 -4.44089209850063e-16
+22 0 2 0 0 34 48 64 -4.44089209850063e-16
+22 0 2 0 0 35 48 64 -4.44089209850063e-16
+22 0 2 0 0 36 48 64 -4.44089209850063e-16
+22 0 2 0 0 37 48 64 -4.44089209850063e-16
+22 0 2 0 0 38 48 64 -4.44089209850063e-16
+22 0 2 0 0 39 48 64 -4.44089209850063e-16
+22 0 2 0 0 40 48 64 -4.44089209850063e-16
+22 0 2 0 0 41 48 64 -4.44089209850063e-16
+22 0 2 0 0 42 48 64 -4.44089209850063e-16
+22 0 2 0 0 43 48 64 -4.44089209850063e-16
+22 0 2 0 0 44 48 64 -4.44089209850063e-16
+22 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 -4.44089209850063e-16
+22 0 1 0 0 20 48 64 -4.44089209850063e-16
+22 0 1 0 0 22 48 64 -4.44089209850063e-16
+22 0 1 0 0 24 48 64 -4.44089209850063e-16
+22 0 1 0 0 26 48 64 -4.44089209850063e-16
+22 0 1 0 0 28 48 64 -4.44089209850063e-16
+22 0 1 0 0 30 48 64 -4.44089209850063e-16
+22 0 1 0 0 32 48 64 -4.44089209850063e-16
+22 0 1 0 0 34 48 64 -4.44089209850063e-16
+22 0 1 0 0 36 48 64 -4.44089209850063e-16
+22 0 1 0 0 38 48 64 -4.44089209850063e-16
+22 0 1 0 0 40 48 64 -4.44089209850063e-16
+22 0 1 0 0 42 48 64 -4.44089209850063e-16
+22 0 1 0 0 44 48 64 -4.44089209850063e-16
+22 0 1 0 0 46 48 64 -4.44089209850063e-16
+22 0 1 0 0 48 48 64 -4.44089209850063e-16
+22 0 1 0 0 50 48 64 -4.44089209850063e-16
+22 0 1 0 0 52 48 64 -4.44089209850063e-16
+22 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 -4.44089209850063e-16
+23 0 2 0 0 28 48 64 -4.44089209850063e-16
+23 0 2 0 0 29 48 64 -4.44089209850063e-16
+23 0 2 0 0 30 48 64 -4.44089209850063e-16
+23 0 2 0 0 31 48 64 -4.44089209850063e-16
+23 0 2 0 0 32 48 64 -4.44089209850063e-16
+23 0 2 0 0 33 48 64 -4.44089209850063e-16
+23 0 2 0 0 34 48 64 -4.44089209850063e-16
+23 0 2 0 0 35 48 64 -4.44089209850063e-16
+23 0 2 0 0 36 48 64 -4.44089209850063e-16
+23 0 2 0 0 37 48 64 -4.44089209850063e-16
+23 0 2 0 0 38 48 64 -4.44089209850063e-16
+23 0 2 0 0 39 48 64 -4.44089209850063e-16
+23 0 2 0 0 40 48 64 -4.44089209850063e-16
+23 0 2 0 0 41 48 64 -4.44089209850063e-16
+23 0 2 0 0 42 48 64 -4.44089209850063e-16
+23 0 2 0 0 43 48 64 -4.44089209850063e-16
+23 0 2 0 0 44 48 64 -4.44089209850063e-16
+23 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 -4.44089209850063e-16
+24 0 2 0 0 28 48 64 -4.44089209850063e-16
+24 0 2 0 0 29 48 64 -4.44089209850063e-16
+24 0 2 0 0 30 48 64 -4.44089209850063e-16
+24 0 2 0 0 31 48 64 -4.44089209850063e-16
+24 0 2 0 0 32 48 64 -4.44089209850063e-16
+24 0 2 0 0 33 48 64 -4.44089209850063e-16
+24 0 2 0 0 34 48 64 -4.44089209850063e-16
+24 0 2 0 0 35 48 64 -4.44089209850063e-16
+24 0 2 0 0 36 48 64 -4.44089209850063e-16
+24 0 2 0 0 37 48 64 -4.44089209850063e-16
+24 0 2 0 0 38 48 64 -4.44089209850063e-16
+24 0 2 0 0 39 48 64 -4.44089209850063e-16
+24 0 2 0 0 40 48 64 -4.44089209850063e-16
+24 0 2 0 0 41 48 64 -4.44089209850063e-16
+24 0 2 0 0 42 48 64 -4.44089209850063e-16
+24 0 2 0 0 43 48 64 -4.44089209850063e-16
+24 0 2 0 0 44 48 64 -4.44089209850063e-16
+24 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 -4.44089209850063e-16
+24 0 1 0 0 20 48 64 -4.44089209850063e-16
+24 0 1 0 0 22 48 64 -4.44089209850063e-16
+24 0 1 0 0 24 48 64 -4.44089209850063e-16
+24 0 1 0 0 26 48 64 -4.44089209850063e-16
+24 0 1 0 0 28 48 64 -4.44089209850063e-16
+24 0 1 0 0 30 48 64 -4.44089209850063e-16
+24 0 1 0 0 32 48 64 -4.44089209850063e-16
+24 0 1 0 0 34 48 64 -4.44089209850063e-16
+24 0 1 0 0 36 48 64 -4.44089209850063e-16
+24 0 1 0 0 38 48 64 -4.44089209850063e-16
+24 0 1 0 0 40 48 64 -4.44089209850063e-16
+24 0 1 0 0 42 48 64 -4.44089209850063e-16
+24 0 1 0 0 44 48 64 -4.44089209850063e-16
+24 0 1 0 0 46 48 64 -4.44089209850063e-16
+24 0 1 0 0 48 48 64 -4.44089209850063e-16
+24 0 1 0 0 50 48 64 -4.44089209850063e-16
+24 0 1 0 0 52 48 64 -4.44089209850063e-16
+24 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -4.44089209850063e-16
+24 0 0 0 0 4 48 64 -4.44089209850063e-16
+24 0 0 0 0 8 48 64 -4.44089209850063e-16
+24 0 0 0 0 12 48 64 -4.44089209850063e-16
+24 0 0 0 0 16 48 64 -4.44089209850063e-16
+24 0 0 0 0 20 48 64 -4.44089209850063e-16
+24 0 0 0 0 24 48 64 -4.44089209850063e-16
+24 0 0 0 0 28 48 64 -4.44089209850063e-16
+24 0 0 0 0 32 48 64 -4.44089209850063e-16
+24 0 0 0 0 36 48 64 -4.44089209850063e-16
+24 0 0 0 0 40 48 64 -4.44089209850063e-16
+24 0 0 0 0 44 48 64 -4.44089209850063e-16
+24 0 0 0 0 48 48 64 -4.44089209850063e-16
+24 0 0 0 0 52 48 64 -4.44089209850063e-16
+24 0 0 0 0 56 48 64 -4.44089209850063e-16
+24 0 0 0 0 60 48 64 -4.44089209850063e-16
+24 0 0 0 0 64 48 64 -4.44089209850063e-16
+24 0 0 0 0 68 48 64 -4.44089209850063e-16
+24 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_y.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_y.yl
new file mode 100644
index 000000000..97fdbd2a8
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_y.yl
@@ -0,0 +1,1397 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 -1.35
+0 0 2 0 0 36 40 64 -1.2
+0 0 2 0 0 36 41 64 -1.05
+0 0 2 0 0 36 42 64 -0.9
+0 0 2 0 0 36 43 64 -0.75
+0 0 2 0 0 36 44 64 -0.6
+0 0 2 0 0 36 45 64 -0.45
+0 0 2 0 0 36 46 64 -0.3
+0 0 2 0 0 36 47 64 -0.15
+0 0 2 0 0 36 48 64 -4.44089209850063e-16
+0 0 2 0 0 36 49 64 0.15
+0 0 2 0 0 36 50 64 0.3
+0 0 2 0 0 36 51 64 0.45
+0 0 2 0 0 36 52 64 0.6
+0 0 2 0 0 36 53 64 0.75
+0 0 2 0 0 36 54 64 0.899999999999999
+0 0 2 0 0 36 55 64 1.05
+0 0 2 0 0 36 56 64 1.2
+0 0 2 0 0 36 57 64 1.35
+0 0 2 0 0 36 58 64 1.5
+0 0 2 0 0 36 59 64 1.65
+0 0 2 0 0 36 60 64 1.8
+0 0 2 0 0 36 61 64 1.95
+0 0 2 0 0 36 62 64 2.1
+0 0 2 0 0 36 63 64 2.25
+0 0 2 0 0 36 64 64 2.4
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 -3.3
+0 0 1 0 0 36 28 64 -3
+0 0 1 0 0 36 30 64 -2.7
+0 0 1 0 0 36 32 64 -2.4
+0 0 1 0 0 36 34 64 -2.1
+0 0 1 0 0 36 36 64 -1.8
+0 0 1 0 0 36 38 64 -1.5
+0 0 1 0 0 36 40 64 -1.2
+0 0 1 0 0 36 42 64 -0.9
+0 0 1 0 0 36 44 64 -0.6
+0 0 1 0 0 36 46 64 -0.3
+0 0 1 0 0 36 48 64 -4.44089209850063e-16
+0 0 1 0 0 36 50 64 0.3
+0 0 1 0 0 36 52 64 0.6
+0 0 1 0 0 36 54 64 0.899999999999999
+0 0 1 0 0 36 56 64 1.2
+0 0 1 0 0 36 58 64 1.5
+0 0 1 0 0 36 60 64 1.8
+0 0 1 0 0 36 62 64 2.1
+0 0 1 0 0 36 64 64 2.4
+0 0 1 0 0 36 66 64 2.7
+0 0 1 0 0 36 68 64 3
+0 0 1 0 0 36 70 64 3.3
+0 0 1 0 0 36 72 64 3.6
+0 0 1 0 0 36 74 64 3.9
+0 0 1 0 0 36 76 64 4.2
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -7.2
+0 0 0 0 0 36 4 64 -6.6
+0 0 0 0 0 36 8 64 -6
+0 0 0 0 0 36 12 64 -5.4
+0 0 0 0 0 36 16 64 -4.8
+0 0 0 0 0 36 20 64 -4.2
+0 0 0 0 0 36 24 64 -3.6
+0 0 0 0 0 36 28 64 -3
+0 0 0 0 0 36 32 64 -2.4
+0 0 0 0 0 36 36 64 -1.8
+0 0 0 0 0 36 40 64 -1.2
+0 0 0 0 0 36 44 64 -0.6
+0 0 0 0 0 36 48 64 -4.44089209850063e-16
+0 0 0 0 0 36 52 64 0.6
+0 0 0 0 0 36 56 64 1.2
+0 0 0 0 0 36 60 64 1.8
+0 0 0 0 0 36 64 64 2.4
+0 0 0 0 0 36 68 64 3
+0 0 0 0 0 36 72 64 3.6
+0 0 0 0 0 36 76 64 4.2
+0 0 0 0 0 36 80 64 4.8
+0 0 0 0 0 36 84 64 5.4
+0 0 0 0 0 36 88 64 6
+0 0 0 0 0 36 92 64 6.6
+0 0 0 0 0 36 96 64 7.2
+0 0 0 0 0 36 100 64 7.8
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 -1.35
+1 0 2 0 0 36 40 64 -1.2
+1 0 2 0 0 36 41 64 -1.05
+1 0 2 0 0 36 42 64 -0.9
+1 0 2 0 0 36 43 64 -0.75
+1 0 2 0 0 36 44 64 -0.6
+1 0 2 0 0 36 45 64 -0.45
+1 0 2 0 0 36 46 64 -0.3
+1 0 2 0 0 36 47 64 -0.15
+1 0 2 0 0 36 48 64 -4.44089209850063e-16
+1 0 2 0 0 36 49 64 0.15
+1 0 2 0 0 36 50 64 0.3
+1 0 2 0 0 36 51 64 0.45
+1 0 2 0 0 36 52 64 0.6
+1 0 2 0 0 36 53 64 0.75
+1 0 2 0 0 36 54 64 0.899999999999999
+1 0 2 0 0 36 55 64 1.05
+1 0 2 0 0 36 56 64 1.2
+1 0 2 0 0 36 57 64 1.35
+1 0 2 0 0 36 58 64 1.5
+1 0 2 0 0 36 59 64 1.65
+1 0 2 0 0 36 60 64 1.8
+1 0 2 0 0 36 61 64 1.95
+1 0 2 0 0 36 62 64 2.1
+1 0 2 0 0 36 63 64 2.25
+1 0 2 0 0 36 64 64 2.4
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 -1.35
+2 0 2 0 0 36 40 64 -1.2
+2 0 2 0 0 36 41 64 -1.05
+2 0 2 0 0 36 42 64 -0.9
+2 0 2 0 0 36 43 64 -0.75
+2 0 2 0 0 36 44 64 -0.6
+2 0 2 0 0 36 45 64 -0.45
+2 0 2 0 0 36 46 64 -0.3
+2 0 2 0 0 36 47 64 -0.15
+2 0 2 0 0 36 48 64 -4.44089209850063e-16
+2 0 2 0 0 36 49 64 0.15
+2 0 2 0 0 36 50 64 0.3
+2 0 2 0 0 36 51 64 0.45
+2 0 2 0 0 36 52 64 0.6
+2 0 2 0 0 36 53 64 0.75
+2 0 2 0 0 36 54 64 0.899999999999999
+2 0 2 0 0 36 55 64 1.05
+2 0 2 0 0 36 56 64 1.2
+2 0 2 0 0 36 57 64 1.35
+2 0 2 0 0 36 58 64 1.5
+2 0 2 0 0 36 59 64 1.65
+2 0 2 0 0 36 60 64 1.8
+2 0 2 0 0 36 61 64 1.95
+2 0 2 0 0 36 62 64 2.1
+2 0 2 0 0 36 63 64 2.25
+2 0 2 0 0 36 64 64 2.4
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 -3.3
+2 0 1 0 0 36 28 64 -3
+2 0 1 0 0 36 30 64 -2.7
+2 0 1 0 0 36 32 64 -2.4
+2 0 1 0 0 36 34 64 -2.1
+2 0 1 0 0 36 36 64 -1.8
+2 0 1 0 0 36 38 64 -1.5
+2 0 1 0 0 36 40 64 -1.2
+2 0 1 0 0 36 42 64 -0.9
+2 0 1 0 0 36 44 64 -0.6
+2 0 1 0 0 36 46 64 -0.3
+2 0 1 0 0 36 48 64 -4.44089209850063e-16
+2 0 1 0 0 36 50 64 0.3
+2 0 1 0 0 36 52 64 0.6
+2 0 1 0 0 36 54 64 0.899999999999999
+2 0 1 0 0 36 56 64 1.2
+2 0 1 0 0 36 58 64 1.5
+2 0 1 0 0 36 60 64 1.8
+2 0 1 0 0 36 62 64 2.1
+2 0 1 0 0 36 64 64 2.4
+2 0 1 0 0 36 66 64 2.7
+2 0 1 0 0 36 68 64 3
+2 0 1 0 0 36 70 64 3.3
+2 0 1 0 0 36 72 64 3.6
+2 0 1 0 0 36 74 64 3.9
+2 0 1 0 0 36 76 64 4.2
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 -1.35
+3 0 2 0 0 36 40 64 -1.2
+3 0 2 0 0 36 41 64 -1.05
+3 0 2 0 0 36 42 64 -0.9
+3 0 2 0 0 36 43 64 -0.75
+3 0 2 0 0 36 44 64 -0.6
+3 0 2 0 0 36 45 64 -0.45
+3 0 2 0 0 36 46 64 -0.3
+3 0 2 0 0 36 47 64 -0.15
+3 0 2 0 0 36 48 64 -4.44089209850063e-16
+3 0 2 0 0 36 49 64 0.15
+3 0 2 0 0 36 50 64 0.3
+3 0 2 0 0 36 51 64 0.45
+3 0 2 0 0 36 52 64 0.6
+3 0 2 0 0 36 53 64 0.75
+3 0 2 0 0 36 54 64 0.899999999999999
+3 0 2 0 0 36 55 64 1.05
+3 0 2 0 0 36 56 64 1.2
+3 0 2 0 0 36 57 64 1.35
+3 0 2 0 0 36 58 64 1.5
+3 0 2 0 0 36 59 64 1.65
+3 0 2 0 0 36 60 64 1.8
+3 0 2 0 0 36 61 64 1.95
+3 0 2 0 0 36 62 64 2.1
+3 0 2 0 0 36 63 64 2.25
+3 0 2 0 0 36 64 64 2.4
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 -1.35
+4 0 2 0 0 36 40 64 -1.2
+4 0 2 0 0 36 41 64 -1.05
+4 0 2 0 0 36 42 64 -0.9
+4 0 2 0 0 36 43 64 -0.75
+4 0 2 0 0 36 44 64 -0.6
+4 0 2 0 0 36 45 64 -0.45
+4 0 2 0 0 36 46 64 -0.3
+4 0 2 0 0 36 47 64 -0.15
+4 0 2 0 0 36 48 64 -4.44089209850063e-16
+4 0 2 0 0 36 49 64 0.15
+4 0 2 0 0 36 50 64 0.3
+4 0 2 0 0 36 51 64 0.45
+4 0 2 0 0 36 52 64 0.6
+4 0 2 0 0 36 53 64 0.75
+4 0 2 0 0 36 54 64 0.899999999999999
+4 0 2 0 0 36 55 64 1.05
+4 0 2 0 0 36 56 64 1.2
+4 0 2 0 0 36 57 64 1.35
+4 0 2 0 0 36 58 64 1.5
+4 0 2 0 0 36 59 64 1.65
+4 0 2 0 0 36 60 64 1.8
+4 0 2 0 0 36 61 64 1.95
+4 0 2 0 0 36 62 64 2.1
+4 0 2 0 0 36 63 64 2.25
+4 0 2 0 0 36 64 64 2.4
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 -3.3
+4 0 1 0 0 36 28 64 -3
+4 0 1 0 0 36 30 64 -2.7
+4 0 1 0 0 36 32 64 -2.4
+4 0 1 0 0 36 34 64 -2.1
+4 0 1 0 0 36 36 64 -1.8
+4 0 1 0 0 36 38 64 -1.5
+4 0 1 0 0 36 40 64 -1.2
+4 0 1 0 0 36 42 64 -0.9
+4 0 1 0 0 36 44 64 -0.6
+4 0 1 0 0 36 46 64 -0.3
+4 0 1 0 0 36 48 64 -4.44089209850063e-16
+4 0 1 0 0 36 50 64 0.3
+4 0 1 0 0 36 52 64 0.6
+4 0 1 0 0 36 54 64 0.899999999999999
+4 0 1 0 0 36 56 64 1.2
+4 0 1 0 0 36 58 64 1.5
+4 0 1 0 0 36 60 64 1.8
+4 0 1 0 0 36 62 64 2.1
+4 0 1 0 0 36 64 64 2.4
+4 0 1 0 0 36 66 64 2.7
+4 0 1 0 0 36 68 64 3
+4 0 1 0 0 36 70 64 3.3
+4 0 1 0 0 36 72 64 3.6
+4 0 1 0 0 36 74 64 3.9
+4 0 1 0 0 36 76 64 4.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 -7.2
+4 0 0 0 0 36 4 64 -6.6
+4 0 0 0 0 36 8 64 -6
+4 0 0 0 0 36 12 64 -5.4
+4 0 0 0 0 36 16 64 -4.8
+4 0 0 0 0 36 20 64 -4.2
+4 0 0 0 0 36 24 64 -3.6
+4 0 0 0 0 36 28 64 -3
+4 0 0 0 0 36 32 64 -2.4
+4 0 0 0 0 36 36 64 -1.8
+4 0 0 0 0 36 40 64 -1.2
+4 0 0 0 0 36 44 64 -0.6
+4 0 0 0 0 36 48 64 -4.44089209850063e-16
+4 0 0 0 0 36 52 64 0.6
+4 0 0 0 0 36 56 64 1.2
+4 0 0 0 0 36 60 64 1.8
+4 0 0 0 0 36 64 64 2.4
+4 0 0 0 0 36 68 64 3
+4 0 0 0 0 36 72 64 3.6
+4 0 0 0 0 36 76 64 4.2
+4 0 0 0 0 36 80 64 4.8
+4 0 0 0 0 36 84 64 5.4
+4 0 0 0 0 36 88 64 6
+4 0 0 0 0 36 92 64 6.6
+4 0 0 0 0 36 96 64 7.2
+4 0 0 0 0 36 100 64 7.8
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 -1.35
+5 0 2 0 0 36 40 64 -1.2
+5 0 2 0 0 36 41 64 -1.05
+5 0 2 0 0 36 42 64 -0.9
+5 0 2 0 0 36 43 64 -0.75
+5 0 2 0 0 36 44 64 -0.6
+5 0 2 0 0 36 45 64 -0.45
+5 0 2 0 0 36 46 64 -0.3
+5 0 2 0 0 36 47 64 -0.15
+5 0 2 0 0 36 48 64 -4.44089209850063e-16
+5 0 2 0 0 36 49 64 0.15
+5 0 2 0 0 36 50 64 0.3
+5 0 2 0 0 36 51 64 0.45
+5 0 2 0 0 36 52 64 0.6
+5 0 2 0 0 36 53 64 0.75
+5 0 2 0 0 36 54 64 0.899999999999999
+5 0 2 0 0 36 55 64 1.05
+5 0 2 0 0 36 56 64 1.2
+5 0 2 0 0 36 57 64 1.35
+5 0 2 0 0 36 58 64 1.5
+5 0 2 0 0 36 59 64 1.65
+5 0 2 0 0 36 60 64 1.8
+5 0 2 0 0 36 61 64 1.95
+5 0 2 0 0 36 62 64 2.1
+5 0 2 0 0 36 63 64 2.25
+5 0 2 0 0 36 64 64 2.4
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 -1.35
+6 0 2 0 0 36 40 64 -1.2
+6 0 2 0 0 36 41 64 -1.05
+6 0 2 0 0 36 42 64 -0.9
+6 0 2 0 0 36 43 64 -0.75
+6 0 2 0 0 36 44 64 -0.6
+6 0 2 0 0 36 45 64 -0.45
+6 0 2 0 0 36 46 64 -0.3
+6 0 2 0 0 36 47 64 -0.15
+6 0 2 0 0 36 48 64 -4.44089209850063e-16
+6 0 2 0 0 36 49 64 0.15
+6 0 2 0 0 36 50 64 0.3
+6 0 2 0 0 36 51 64 0.45
+6 0 2 0 0 36 52 64 0.6
+6 0 2 0 0 36 53 64 0.75
+6 0 2 0 0 36 54 64 0.899999999999999
+6 0 2 0 0 36 55 64 1.05
+6 0 2 0 0 36 56 64 1.2
+6 0 2 0 0 36 57 64 1.35
+6 0 2 0 0 36 58 64 1.5
+6 0 2 0 0 36 59 64 1.65
+6 0 2 0 0 36 60 64 1.8
+6 0 2 0 0 36 61 64 1.95
+6 0 2 0 0 36 62 64 2.1
+6 0 2 0 0 36 63 64 2.25
+6 0 2 0 0 36 64 64 2.4
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 -3.3
+6 0 1 0 0 36 28 64 -3
+6 0 1 0 0 36 30 64 -2.7
+6 0 1 0 0 36 32 64 -2.4
+6 0 1 0 0 36 34 64 -2.1
+6 0 1 0 0 36 36 64 -1.8
+6 0 1 0 0 36 38 64 -1.5
+6 0 1 0 0 36 40 64 -1.2
+6 0 1 0 0 36 42 64 -0.9
+6 0 1 0 0 36 44 64 -0.6
+6 0 1 0 0 36 46 64 -0.3
+6 0 1 0 0 36 48 64 -4.44089209850063e-16
+6 0 1 0 0 36 50 64 0.3
+6 0 1 0 0 36 52 64 0.6
+6 0 1 0 0 36 54 64 0.899999999999999
+6 0 1 0 0 36 56 64 1.2
+6 0 1 0 0 36 58 64 1.5
+6 0 1 0 0 36 60 64 1.8
+6 0 1 0 0 36 62 64 2.1
+6 0 1 0 0 36 64 64 2.4
+6 0 1 0 0 36 66 64 2.7
+6 0 1 0 0 36 68 64 3
+6 0 1 0 0 36 70 64 3.3
+6 0 1 0 0 36 72 64 3.6
+6 0 1 0 0 36 74 64 3.9
+6 0 1 0 0 36 76 64 4.2
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 -1.35
+7 0 2 0 0 36 40 64 -1.2
+7 0 2 0 0 36 41 64 -1.05
+7 0 2 0 0 36 42 64 -0.9
+7 0 2 0 0 36 43 64 -0.75
+7 0 2 0 0 36 44 64 -0.6
+7 0 2 0 0 36 45 64 -0.45
+7 0 2 0 0 36 46 64 -0.3
+7 0 2 0 0 36 47 64 -0.15
+7 0 2 0 0 36 48 64 -4.44089209850063e-16
+7 0 2 0 0 36 49 64 0.15
+7 0 2 0 0 36 50 64 0.3
+7 0 2 0 0 36 51 64 0.45
+7 0 2 0 0 36 52 64 0.6
+7 0 2 0 0 36 53 64 0.75
+7 0 2 0 0 36 54 64 0.899999999999999
+7 0 2 0 0 36 55 64 1.05
+7 0 2 0 0 36 56 64 1.2
+7 0 2 0 0 36 57 64 1.35
+7 0 2 0 0 36 58 64 1.5
+7 0 2 0 0 36 59 64 1.65
+7 0 2 0 0 36 60 64 1.8
+7 0 2 0 0 36 61 64 1.95
+7 0 2 0 0 36 62 64 2.1
+7 0 2 0 0 36 63 64 2.25
+7 0 2 0 0 36 64 64 2.4
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 -1.35
+8 0 2 0 0 36 40 64 -1.2
+8 0 2 0 0 36 41 64 -1.05
+8 0 2 0 0 36 42 64 -0.9
+8 0 2 0 0 36 43 64 -0.75
+8 0 2 0 0 36 44 64 -0.6
+8 0 2 0 0 36 45 64 -0.45
+8 0 2 0 0 36 46 64 -0.3
+8 0 2 0 0 36 47 64 -0.15
+8 0 2 0 0 36 48 64 -4.44089209850063e-16
+8 0 2 0 0 36 49 64 0.15
+8 0 2 0 0 36 50 64 0.3
+8 0 2 0 0 36 51 64 0.45
+8 0 2 0 0 36 52 64 0.6
+8 0 2 0 0 36 53 64 0.75
+8 0 2 0 0 36 54 64 0.899999999999999
+8 0 2 0 0 36 55 64 1.05
+8 0 2 0 0 36 56 64 1.2
+8 0 2 0 0 36 57 64 1.35
+8 0 2 0 0 36 58 64 1.5
+8 0 2 0 0 36 59 64 1.65
+8 0 2 0 0 36 60 64 1.8
+8 0 2 0 0 36 61 64 1.95
+8 0 2 0 0 36 62 64 2.1
+8 0 2 0 0 36 63 64 2.25
+8 0 2 0 0 36 64 64 2.4
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 -3.3
+8 0 1 0 0 36 28 64 -3
+8 0 1 0 0 36 30 64 -2.7
+8 0 1 0 0 36 32 64 -2.4
+8 0 1 0 0 36 34 64 -2.1
+8 0 1 0 0 36 36 64 -1.8
+8 0 1 0 0 36 38 64 -1.5
+8 0 1 0 0 36 40 64 -1.2
+8 0 1 0 0 36 42 64 -0.9
+8 0 1 0 0 36 44 64 -0.6
+8 0 1 0 0 36 46 64 -0.3
+8 0 1 0 0 36 48 64 -4.44089209850063e-16
+8 0 1 0 0 36 50 64 0.3
+8 0 1 0 0 36 52 64 0.6
+8 0 1 0 0 36 54 64 0.899999999999999
+8 0 1 0 0 36 56 64 1.2
+8 0 1 0 0 36 58 64 1.5
+8 0 1 0 0 36 60 64 1.8
+8 0 1 0 0 36 62 64 2.1
+8 0 1 0 0 36 64 64 2.4
+8 0 1 0 0 36 66 64 2.7
+8 0 1 0 0 36 68 64 3
+8 0 1 0 0 36 70 64 3.3
+8 0 1 0 0 36 72 64 3.6
+8 0 1 0 0 36 74 64 3.9
+8 0 1 0 0 36 76 64 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 -7.2
+8 0 0 0 0 36 4 64 -6.6
+8 0 0 0 0 36 8 64 -6
+8 0 0 0 0 36 12 64 -5.4
+8 0 0 0 0 36 16 64 -4.8
+8 0 0 0 0 36 20 64 -4.2
+8 0 0 0 0 36 24 64 -3.6
+8 0 0 0 0 36 28 64 -3
+8 0 0 0 0 36 32 64 -2.4
+8 0 0 0 0 36 36 64 -1.8
+8 0 0 0 0 36 40 64 -1.2
+8 0 0 0 0 36 44 64 -0.6
+8 0 0 0 0 36 48 64 -4.44089209850063e-16
+8 0 0 0 0 36 52 64 0.6
+8 0 0 0 0 36 56 64 1.2
+8 0 0 0 0 36 60 64 1.8
+8 0 0 0 0 36 64 64 2.4
+8 0 0 0 0 36 68 64 3
+8 0 0 0 0 36 72 64 3.6
+8 0 0 0 0 36 76 64 4.2
+8 0 0 0 0 36 80 64 4.8
+8 0 0 0 0 36 84 64 5.4
+8 0 0 0 0 36 88 64 6
+8 0 0 0 0 36 92 64 6.6
+8 0 0 0 0 36 96 64 7.2
+8 0 0 0 0 36 100 64 7.8
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 -1.35
+9 0 2 0 0 36 40 64 -1.2
+9 0 2 0 0 36 41 64 -1.05
+9 0 2 0 0 36 42 64 -0.9
+9 0 2 0 0 36 43 64 -0.75
+9 0 2 0 0 36 44 64 -0.6
+9 0 2 0 0 36 45 64 -0.45
+9 0 2 0 0 36 46 64 -0.3
+9 0 2 0 0 36 47 64 -0.15
+9 0 2 0 0 36 48 64 -4.44089209850063e-16
+9 0 2 0 0 36 49 64 0.15
+9 0 2 0 0 36 50 64 0.3
+9 0 2 0 0 36 51 64 0.45
+9 0 2 0 0 36 52 64 0.6
+9 0 2 0 0 36 53 64 0.75
+9 0 2 0 0 36 54 64 0.899999999999999
+9 0 2 0 0 36 55 64 1.05
+9 0 2 0 0 36 56 64 1.2
+9 0 2 0 0 36 57 64 1.35
+9 0 2 0 0 36 58 64 1.5
+9 0 2 0 0 36 59 64 1.65
+9 0 2 0 0 36 60 64 1.8
+9 0 2 0 0 36 61 64 1.95
+9 0 2 0 0 36 62 64 2.1
+9 0 2 0 0 36 63 64 2.25
+9 0 2 0 0 36 64 64 2.4
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 -1.35
+10 0 2 0 0 36 40 64 -1.2
+10 0 2 0 0 36 41 64 -1.05
+10 0 2 0 0 36 42 64 -0.9
+10 0 2 0 0 36 43 64 -0.75
+10 0 2 0 0 36 44 64 -0.6
+10 0 2 0 0 36 45 64 -0.45
+10 0 2 0 0 36 46 64 -0.3
+10 0 2 0 0 36 47 64 -0.15
+10 0 2 0 0 36 48 64 -4.44089209850063e-16
+10 0 2 0 0 36 49 64 0.15
+10 0 2 0 0 36 50 64 0.3
+10 0 2 0 0 36 51 64 0.45
+10 0 2 0 0 36 52 64 0.6
+10 0 2 0 0 36 53 64 0.75
+10 0 2 0 0 36 54 64 0.899999999999999
+10 0 2 0 0 36 55 64 1.05
+10 0 2 0 0 36 56 64 1.2
+10 0 2 0 0 36 57 64 1.35
+10 0 2 0 0 36 58 64 1.5
+10 0 2 0 0 36 59 64 1.65
+10 0 2 0 0 36 60 64 1.8
+10 0 2 0 0 36 61 64 1.95
+10 0 2 0 0 36 62 64 2.1
+10 0 2 0 0 36 63 64 2.25
+10 0 2 0 0 36 64 64 2.4
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 -3.3
+10 0 1 0 0 36 28 64 -3
+10 0 1 0 0 36 30 64 -2.7
+10 0 1 0 0 36 32 64 -2.4
+10 0 1 0 0 36 34 64 -2.1
+10 0 1 0 0 36 36 64 -1.8
+10 0 1 0 0 36 38 64 -1.5
+10 0 1 0 0 36 40 64 -1.2
+10 0 1 0 0 36 42 64 -0.9
+10 0 1 0 0 36 44 64 -0.6
+10 0 1 0 0 36 46 64 -0.3
+10 0 1 0 0 36 48 64 -4.44089209850063e-16
+10 0 1 0 0 36 50 64 0.3
+10 0 1 0 0 36 52 64 0.6
+10 0 1 0 0 36 54 64 0.899999999999999
+10 0 1 0 0 36 56 64 1.2
+10 0 1 0 0 36 58 64 1.5
+10 0 1 0 0 36 60 64 1.8
+10 0 1 0 0 36 62 64 2.1
+10 0 1 0 0 36 64 64 2.4
+10 0 1 0 0 36 66 64 2.7
+10 0 1 0 0 36 68 64 3
+10 0 1 0 0 36 70 64 3.3
+10 0 1 0 0 36 72 64 3.6
+10 0 1 0 0 36 74 64 3.9
+10 0 1 0 0 36 76 64 4.2
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 -1.35
+11 0 2 0 0 36 40 64 -1.2
+11 0 2 0 0 36 41 64 -1.05
+11 0 2 0 0 36 42 64 -0.9
+11 0 2 0 0 36 43 64 -0.75
+11 0 2 0 0 36 44 64 -0.6
+11 0 2 0 0 36 45 64 -0.45
+11 0 2 0 0 36 46 64 -0.3
+11 0 2 0 0 36 47 64 -0.15
+11 0 2 0 0 36 48 64 -4.44089209850063e-16
+11 0 2 0 0 36 49 64 0.15
+11 0 2 0 0 36 50 64 0.3
+11 0 2 0 0 36 51 64 0.45
+11 0 2 0 0 36 52 64 0.6
+11 0 2 0 0 36 53 64 0.75
+11 0 2 0 0 36 54 64 0.899999999999999
+11 0 2 0 0 36 55 64 1.05
+11 0 2 0 0 36 56 64 1.2
+11 0 2 0 0 36 57 64 1.35
+11 0 2 0 0 36 58 64 1.5
+11 0 2 0 0 36 59 64 1.65
+11 0 2 0 0 36 60 64 1.8
+11 0 2 0 0 36 61 64 1.95
+11 0 2 0 0 36 62 64 2.1
+11 0 2 0 0 36 63 64 2.25
+11 0 2 0 0 36 64 64 2.4
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 -1.35
+12 0 2 0 0 36 40 64 -1.2
+12 0 2 0 0 36 41 64 -1.05
+12 0 2 0 0 36 42 64 -0.9
+12 0 2 0 0 36 43 64 -0.75
+12 0 2 0 0 36 44 64 -0.6
+12 0 2 0 0 36 45 64 -0.45
+12 0 2 0 0 36 46 64 -0.3
+12 0 2 0 0 36 47 64 -0.15
+12 0 2 0 0 36 48 64 -4.44089209850063e-16
+12 0 2 0 0 36 49 64 0.15
+12 0 2 0 0 36 50 64 0.3
+12 0 2 0 0 36 51 64 0.45
+12 0 2 0 0 36 52 64 0.6
+12 0 2 0 0 36 53 64 0.75
+12 0 2 0 0 36 54 64 0.899999999999999
+12 0 2 0 0 36 55 64 1.05
+12 0 2 0 0 36 56 64 1.2
+12 0 2 0 0 36 57 64 1.35
+12 0 2 0 0 36 58 64 1.5
+12 0 2 0 0 36 59 64 1.65
+12 0 2 0 0 36 60 64 1.8
+12 0 2 0 0 36 61 64 1.95
+12 0 2 0 0 36 62 64 2.1
+12 0 2 0 0 36 63 64 2.25
+12 0 2 0 0 36 64 64 2.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 -3.3
+12 0 1 0 0 36 28 64 -3
+12 0 1 0 0 36 30 64 -2.7
+12 0 1 0 0 36 32 64 -2.4
+12 0 1 0 0 36 34 64 -2.1
+12 0 1 0 0 36 36 64 -1.8
+12 0 1 0 0 36 38 64 -1.5
+12 0 1 0 0 36 40 64 -1.2
+12 0 1 0 0 36 42 64 -0.9
+12 0 1 0 0 36 44 64 -0.6
+12 0 1 0 0 36 46 64 -0.3
+12 0 1 0 0 36 48 64 -4.44089209850063e-16
+12 0 1 0 0 36 50 64 0.3
+12 0 1 0 0 36 52 64 0.6
+12 0 1 0 0 36 54 64 0.899999999999999
+12 0 1 0 0 36 56 64 1.2
+12 0 1 0 0 36 58 64 1.5
+12 0 1 0 0 36 60 64 1.8
+12 0 1 0 0 36 62 64 2.1
+12 0 1 0 0 36 64 64 2.4
+12 0 1 0 0 36 66 64 2.7
+12 0 1 0 0 36 68 64 3
+12 0 1 0 0 36 70 64 3.3
+12 0 1 0 0 36 72 64 3.6
+12 0 1 0 0 36 74 64 3.9
+12 0 1 0 0 36 76 64 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 -7.2
+12 0 0 0 0 36 4 64 -6.6
+12 0 0 0 0 36 8 64 -6
+12 0 0 0 0 36 12 64 -5.4
+12 0 0 0 0 36 16 64 -4.8
+12 0 0 0 0 36 20 64 -4.2
+12 0 0 0 0 36 24 64 -3.6
+12 0 0 0 0 36 28 64 -3
+12 0 0 0 0 36 32 64 -2.4
+12 0 0 0 0 36 36 64 -1.8
+12 0 0 0 0 36 40 64 -1.2
+12 0 0 0 0 36 44 64 -0.6
+12 0 0 0 0 36 48 64 -4.44089209850063e-16
+12 0 0 0 0 36 52 64 0.6
+12 0 0 0 0 36 56 64 1.2
+12 0 0 0 0 36 60 64 1.8
+12 0 0 0 0 36 64 64 2.4
+12 0 0 0 0 36 68 64 3
+12 0 0 0 0 36 72 64 3.6
+12 0 0 0 0 36 76 64 4.2
+12 0 0 0 0 36 80 64 4.8
+12 0 0 0 0 36 84 64 5.4
+12 0 0 0 0 36 88 64 6
+12 0 0 0 0 36 92 64 6.6
+12 0 0 0 0 36 96 64 7.2
+12 0 0 0 0 36 100 64 7.8
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 -1.35
+13 0 2 0 0 36 40 64 -1.2
+13 0 2 0 0 36 41 64 -1.05
+13 0 2 0 0 36 42 64 -0.9
+13 0 2 0 0 36 43 64 -0.75
+13 0 2 0 0 36 44 64 -0.6
+13 0 2 0 0 36 45 64 -0.45
+13 0 2 0 0 36 46 64 -0.3
+13 0 2 0 0 36 47 64 -0.15
+13 0 2 0 0 36 48 64 -4.44089209850063e-16
+13 0 2 0 0 36 49 64 0.15
+13 0 2 0 0 36 50 64 0.3
+13 0 2 0 0 36 51 64 0.45
+13 0 2 0 0 36 52 64 0.6
+13 0 2 0 0 36 53 64 0.75
+13 0 2 0 0 36 54 64 0.899999999999999
+13 0 2 0 0 36 55 64 1.05
+13 0 2 0 0 36 56 64 1.2
+13 0 2 0 0 36 57 64 1.35
+13 0 2 0 0 36 58 64 1.5
+13 0 2 0 0 36 59 64 1.65
+13 0 2 0 0 36 60 64 1.8
+13 0 2 0 0 36 61 64 1.95
+13 0 2 0 0 36 62 64 2.1
+13 0 2 0 0 36 63 64 2.25
+13 0 2 0 0 36 64 64 2.4
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 -1.35
+14 0 2 0 0 36 40 64 -1.2
+14 0 2 0 0 36 41 64 -1.05
+14 0 2 0 0 36 42 64 -0.9
+14 0 2 0 0 36 43 64 -0.75
+14 0 2 0 0 36 44 64 -0.6
+14 0 2 0 0 36 45 64 -0.45
+14 0 2 0 0 36 46 64 -0.3
+14 0 2 0 0 36 47 64 -0.15
+14 0 2 0 0 36 48 64 -4.44089209850063e-16
+14 0 2 0 0 36 49 64 0.15
+14 0 2 0 0 36 50 64 0.3
+14 0 2 0 0 36 51 64 0.45
+14 0 2 0 0 36 52 64 0.6
+14 0 2 0 0 36 53 64 0.75
+14 0 2 0 0 36 54 64 0.899999999999999
+14 0 2 0 0 36 55 64 1.05
+14 0 2 0 0 36 56 64 1.2
+14 0 2 0 0 36 57 64 1.35
+14 0 2 0 0 36 58 64 1.5
+14 0 2 0 0 36 59 64 1.65
+14 0 2 0 0 36 60 64 1.8
+14 0 2 0 0 36 61 64 1.95
+14 0 2 0 0 36 62 64 2.1
+14 0 2 0 0 36 63 64 2.25
+14 0 2 0 0 36 64 64 2.4
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 -3.3
+14 0 1 0 0 36 28 64 -3
+14 0 1 0 0 36 30 64 -2.7
+14 0 1 0 0 36 32 64 -2.4
+14 0 1 0 0 36 34 64 -2.1
+14 0 1 0 0 36 36 64 -1.8
+14 0 1 0 0 36 38 64 -1.5
+14 0 1 0 0 36 40 64 -1.2
+14 0 1 0 0 36 42 64 -0.9
+14 0 1 0 0 36 44 64 -0.6
+14 0 1 0 0 36 46 64 -0.3
+14 0 1 0 0 36 48 64 -4.44089209850063e-16
+14 0 1 0 0 36 50 64 0.3
+14 0 1 0 0 36 52 64 0.6
+14 0 1 0 0 36 54 64 0.899999999999999
+14 0 1 0 0 36 56 64 1.2
+14 0 1 0 0 36 58 64 1.5
+14 0 1 0 0 36 60 64 1.8
+14 0 1 0 0 36 62 64 2.1
+14 0 1 0 0 36 64 64 2.4
+14 0 1 0 0 36 66 64 2.7
+14 0 1 0 0 36 68 64 3
+14 0 1 0 0 36 70 64 3.3
+14 0 1 0 0 36 72 64 3.6
+14 0 1 0 0 36 74 64 3.9
+14 0 1 0 0 36 76 64 4.2
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 -1.35
+15 0 2 0 0 36 40 64 -1.2
+15 0 2 0 0 36 41 64 -1.05
+15 0 2 0 0 36 42 64 -0.9
+15 0 2 0 0 36 43 64 -0.75
+15 0 2 0 0 36 44 64 -0.6
+15 0 2 0 0 36 45 64 -0.45
+15 0 2 0 0 36 46 64 -0.3
+15 0 2 0 0 36 47 64 -0.15
+15 0 2 0 0 36 48 64 -4.44089209850063e-16
+15 0 2 0 0 36 49 64 0.15
+15 0 2 0 0 36 50 64 0.3
+15 0 2 0 0 36 51 64 0.45
+15 0 2 0 0 36 52 64 0.6
+15 0 2 0 0 36 53 64 0.75
+15 0 2 0 0 36 54 64 0.899999999999999
+15 0 2 0 0 36 55 64 1.05
+15 0 2 0 0 36 56 64 1.2
+15 0 2 0 0 36 57 64 1.35
+15 0 2 0 0 36 58 64 1.5
+15 0 2 0 0 36 59 64 1.65
+15 0 2 0 0 36 60 64 1.8
+15 0 2 0 0 36 61 64 1.95
+15 0 2 0 0 36 62 64 2.1
+15 0 2 0 0 36 63 64 2.25
+15 0 2 0 0 36 64 64 2.4
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 -1.35
+16 0 2 0 0 36 40 64 -1.2
+16 0 2 0 0 36 41 64 -1.05
+16 0 2 0 0 36 42 64 -0.9
+16 0 2 0 0 36 43 64 -0.75
+16 0 2 0 0 36 44 64 -0.6
+16 0 2 0 0 36 45 64 -0.45
+16 0 2 0 0 36 46 64 -0.3
+16 0 2 0 0 36 47 64 -0.15
+16 0 2 0 0 36 48 64 -4.44089209850063e-16
+16 0 2 0 0 36 49 64 0.15
+16 0 2 0 0 36 50 64 0.3
+16 0 2 0 0 36 51 64 0.45
+16 0 2 0 0 36 52 64 0.6
+16 0 2 0 0 36 53 64 0.75
+16 0 2 0 0 36 54 64 0.899999999999999
+16 0 2 0 0 36 55 64 1.05
+16 0 2 0 0 36 56 64 1.2
+16 0 2 0 0 36 57 64 1.35
+16 0 2 0 0 36 58 64 1.5
+16 0 2 0 0 36 59 64 1.65
+16 0 2 0 0 36 60 64 1.8
+16 0 2 0 0 36 61 64 1.95
+16 0 2 0 0 36 62 64 2.1
+16 0 2 0 0 36 63 64 2.25
+16 0 2 0 0 36 64 64 2.4
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 -3.3
+16 0 1 0 0 36 28 64 -3
+16 0 1 0 0 36 30 64 -2.7
+16 0 1 0 0 36 32 64 -2.4
+16 0 1 0 0 36 34 64 -2.1
+16 0 1 0 0 36 36 64 -1.8
+16 0 1 0 0 36 38 64 -1.5
+16 0 1 0 0 36 40 64 -1.2
+16 0 1 0 0 36 42 64 -0.9
+16 0 1 0 0 36 44 64 -0.6
+16 0 1 0 0 36 46 64 -0.3
+16 0 1 0 0 36 48 64 -4.44089209850063e-16
+16 0 1 0 0 36 50 64 0.3
+16 0 1 0 0 36 52 64 0.6
+16 0 1 0 0 36 54 64 0.899999999999999
+16 0 1 0 0 36 56 64 1.2
+16 0 1 0 0 36 58 64 1.5
+16 0 1 0 0 36 60 64 1.8
+16 0 1 0 0 36 62 64 2.1
+16 0 1 0 0 36 64 64 2.4
+16 0 1 0 0 36 66 64 2.7
+16 0 1 0 0 36 68 64 3
+16 0 1 0 0 36 70 64 3.3
+16 0 1 0 0 36 72 64 3.6
+16 0 1 0 0 36 74 64 3.9
+16 0 1 0 0 36 76 64 4.2
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 -7.2
+16 0 0 0 0 36 4 64 -6.6
+16 0 0 0 0 36 8 64 -6
+16 0 0 0 0 36 12 64 -5.4
+16 0 0 0 0 36 16 64 -4.8
+16 0 0 0 0 36 20 64 -4.2
+16 0 0 0 0 36 24 64 -3.6
+16 0 0 0 0 36 28 64 -3
+16 0 0 0 0 36 32 64 -2.4
+16 0 0 0 0 36 36 64 -1.8
+16 0 0 0 0 36 40 64 -1.2
+16 0 0 0 0 36 44 64 -0.6
+16 0 0 0 0 36 48 64 -4.44089209850063e-16
+16 0 0 0 0 36 52 64 0.6
+16 0 0 0 0 36 56 64 1.2
+16 0 0 0 0 36 60 64 1.8
+16 0 0 0 0 36 64 64 2.4
+16 0 0 0 0 36 68 64 3
+16 0 0 0 0 36 72 64 3.6
+16 0 0 0 0 36 76 64 4.2
+16 0 0 0 0 36 80 64 4.8
+16 0 0 0 0 36 84 64 5.4
+16 0 0 0 0 36 88 64 6
+16 0 0 0 0 36 92 64 6.6
+16 0 0 0 0 36 96 64 7.2
+16 0 0 0 0 36 100 64 7.8
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 -1.35
+17 0 2 0 0 36 40 64 -1.2
+17 0 2 0 0 36 41 64 -1.05
+17 0 2 0 0 36 42 64 -0.9
+17 0 2 0 0 36 43 64 -0.75
+17 0 2 0 0 36 44 64 -0.6
+17 0 2 0 0 36 45 64 -0.45
+17 0 2 0 0 36 46 64 -0.3
+17 0 2 0 0 36 47 64 -0.15
+17 0 2 0 0 36 48 64 -4.44089209850063e-16
+17 0 2 0 0 36 49 64 0.15
+17 0 2 0 0 36 50 64 0.3
+17 0 2 0 0 36 51 64 0.45
+17 0 2 0 0 36 52 64 0.6
+17 0 2 0 0 36 53 64 0.75
+17 0 2 0 0 36 54 64 0.899999999999999
+17 0 2 0 0 36 55 64 1.05
+17 0 2 0 0 36 56 64 1.2
+17 0 2 0 0 36 57 64 1.35
+17 0 2 0 0 36 58 64 1.5
+17 0 2 0 0 36 59 64 1.65
+17 0 2 0 0 36 60 64 1.8
+17 0 2 0 0 36 61 64 1.95
+17 0 2 0 0 36 62 64 2.1
+17 0 2 0 0 36 63 64 2.25
+17 0 2 0 0 36 64 64 2.4
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 -1.35
+18 0 2 0 0 36 40 64 -1.2
+18 0 2 0 0 36 41 64 -1.05
+18 0 2 0 0 36 42 64 -0.9
+18 0 2 0 0 36 43 64 -0.75
+18 0 2 0 0 36 44 64 -0.6
+18 0 2 0 0 36 45 64 -0.45
+18 0 2 0 0 36 46 64 -0.3
+18 0 2 0 0 36 47 64 -0.15
+18 0 2 0 0 36 48 64 -4.44089209850063e-16
+18 0 2 0 0 36 49 64 0.15
+18 0 2 0 0 36 50 64 0.3
+18 0 2 0 0 36 51 64 0.45
+18 0 2 0 0 36 52 64 0.6
+18 0 2 0 0 36 53 64 0.75
+18 0 2 0 0 36 54 64 0.899999999999999
+18 0 2 0 0 36 55 64 1.05
+18 0 2 0 0 36 56 64 1.2
+18 0 2 0 0 36 57 64 1.35
+18 0 2 0 0 36 58 64 1.5
+18 0 2 0 0 36 59 64 1.65
+18 0 2 0 0 36 60 64 1.8
+18 0 2 0 0 36 61 64 1.95
+18 0 2 0 0 36 62 64 2.1
+18 0 2 0 0 36 63 64 2.25
+18 0 2 0 0 36 64 64 2.4
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 -3.3
+18 0 1 0 0 36 28 64 -3
+18 0 1 0 0 36 30 64 -2.7
+18 0 1 0 0 36 32 64 -2.4
+18 0 1 0 0 36 34 64 -2.1
+18 0 1 0 0 36 36 64 -1.8
+18 0 1 0 0 36 38 64 -1.5
+18 0 1 0 0 36 40 64 -1.2
+18 0 1 0 0 36 42 64 -0.9
+18 0 1 0 0 36 44 64 -0.6
+18 0 1 0 0 36 46 64 -0.3
+18 0 1 0 0 36 48 64 -4.44089209850063e-16
+18 0 1 0 0 36 50 64 0.3
+18 0 1 0 0 36 52 64 0.6
+18 0 1 0 0 36 54 64 0.899999999999999
+18 0 1 0 0 36 56 64 1.2
+18 0 1 0 0 36 58 64 1.5
+18 0 1 0 0 36 60 64 1.8
+18 0 1 0 0 36 62 64 2.1
+18 0 1 0 0 36 64 64 2.4
+18 0 1 0 0 36 66 64 2.7
+18 0 1 0 0 36 68 64 3
+18 0 1 0 0 36 70 64 3.3
+18 0 1 0 0 36 72 64 3.6
+18 0 1 0 0 36 74 64 3.9
+18 0 1 0 0 36 76 64 4.2
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 -1.35
+19 0 2 0 0 36 40 64 -1.2
+19 0 2 0 0 36 41 64 -1.05
+19 0 2 0 0 36 42 64 -0.9
+19 0 2 0 0 36 43 64 -0.75
+19 0 2 0 0 36 44 64 -0.6
+19 0 2 0 0 36 45 64 -0.45
+19 0 2 0 0 36 46 64 -0.3
+19 0 2 0 0 36 47 64 -0.15
+19 0 2 0 0 36 48 64 -4.44089209850063e-16
+19 0 2 0 0 36 49 64 0.15
+19 0 2 0 0 36 50 64 0.3
+19 0 2 0 0 36 51 64 0.45
+19 0 2 0 0 36 52 64 0.6
+19 0 2 0 0 36 53 64 0.75
+19 0 2 0 0 36 54 64 0.899999999999999
+19 0 2 0 0 36 55 64 1.05
+19 0 2 0 0 36 56 64 1.2
+19 0 2 0 0 36 57 64 1.35
+19 0 2 0 0 36 58 64 1.5
+19 0 2 0 0 36 59 64 1.65
+19 0 2 0 0 36 60 64 1.8
+19 0 2 0 0 36 61 64 1.95
+19 0 2 0 0 36 62 64 2.1
+19 0 2 0 0 36 63 64 2.25
+19 0 2 0 0 36 64 64 2.4
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 -1.35
+20 0 2 0 0 36 40 64 -1.2
+20 0 2 0 0 36 41 64 -1.05
+20 0 2 0 0 36 42 64 -0.9
+20 0 2 0 0 36 43 64 -0.75
+20 0 2 0 0 36 44 64 -0.6
+20 0 2 0 0 36 45 64 -0.45
+20 0 2 0 0 36 46 64 -0.3
+20 0 2 0 0 36 47 64 -0.15
+20 0 2 0 0 36 48 64 -4.44089209850063e-16
+20 0 2 0 0 36 49 64 0.15
+20 0 2 0 0 36 50 64 0.3
+20 0 2 0 0 36 51 64 0.45
+20 0 2 0 0 36 52 64 0.6
+20 0 2 0 0 36 53 64 0.75
+20 0 2 0 0 36 54 64 0.899999999999999
+20 0 2 0 0 36 55 64 1.05
+20 0 2 0 0 36 56 64 1.2
+20 0 2 0 0 36 57 64 1.35
+20 0 2 0 0 36 58 64 1.5
+20 0 2 0 0 36 59 64 1.65
+20 0 2 0 0 36 60 64 1.8
+20 0 2 0 0 36 61 64 1.95
+20 0 2 0 0 36 62 64 2.1
+20 0 2 0 0 36 63 64 2.25
+20 0 2 0 0 36 64 64 2.4
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 -3.3
+20 0 1 0 0 36 28 64 -3
+20 0 1 0 0 36 30 64 -2.7
+20 0 1 0 0 36 32 64 -2.4
+20 0 1 0 0 36 34 64 -2.1
+20 0 1 0 0 36 36 64 -1.8
+20 0 1 0 0 36 38 64 -1.5
+20 0 1 0 0 36 40 64 -1.2
+20 0 1 0 0 36 42 64 -0.9
+20 0 1 0 0 36 44 64 -0.6
+20 0 1 0 0 36 46 64 -0.3
+20 0 1 0 0 36 48 64 -4.44089209850063e-16
+20 0 1 0 0 36 50 64 0.3
+20 0 1 0 0 36 52 64 0.6
+20 0 1 0 0 36 54 64 0.899999999999999
+20 0 1 0 0 36 56 64 1.2
+20 0 1 0 0 36 58 64 1.5
+20 0 1 0 0 36 60 64 1.8
+20 0 1 0 0 36 62 64 2.1
+20 0 1 0 0 36 64 64 2.4
+20 0 1 0 0 36 66 64 2.7
+20 0 1 0 0 36 68 64 3
+20 0 1 0 0 36 70 64 3.3
+20 0 1 0 0 36 72 64 3.6
+20 0 1 0 0 36 74 64 3.9
+20 0 1 0 0 36 76 64 4.2
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 -7.2
+20 0 0 0 0 36 4 64 -6.6
+20 0 0 0 0 36 8 64 -6
+20 0 0 0 0 36 12 64 -5.4
+20 0 0 0 0 36 16 64 -4.8
+20 0 0 0 0 36 20 64 -4.2
+20 0 0 0 0 36 24 64 -3.6
+20 0 0 0 0 36 28 64 -3
+20 0 0 0 0 36 32 64 -2.4
+20 0 0 0 0 36 36 64 -1.8
+20 0 0 0 0 36 40 64 -1.2
+20 0 0 0 0 36 44 64 -0.6
+20 0 0 0 0 36 48 64 -4.44089209850063e-16
+20 0 0 0 0 36 52 64 0.6
+20 0 0 0 0 36 56 64 1.2
+20 0 0 0 0 36 60 64 1.8
+20 0 0 0 0 36 64 64 2.4
+20 0 0 0 0 36 68 64 3
+20 0 0 0 0 36 72 64 3.6
+20 0 0 0 0 36 76 64 4.2
+20 0 0 0 0 36 80 64 4.8
+20 0 0 0 0 36 84 64 5.4
+20 0 0 0 0 36 88 64 6
+20 0 0 0 0 36 92 64 6.6
+20 0 0 0 0 36 96 64 7.2
+20 0 0 0 0 36 100 64 7.8
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 -1.35
+21 0 2 0 0 36 40 64 -1.2
+21 0 2 0 0 36 41 64 -1.05
+21 0 2 0 0 36 42 64 -0.9
+21 0 2 0 0 36 43 64 -0.75
+21 0 2 0 0 36 44 64 -0.6
+21 0 2 0 0 36 45 64 -0.45
+21 0 2 0 0 36 46 64 -0.3
+21 0 2 0 0 36 47 64 -0.15
+21 0 2 0 0 36 48 64 -4.44089209850063e-16
+21 0 2 0 0 36 49 64 0.15
+21 0 2 0 0 36 50 64 0.3
+21 0 2 0 0 36 51 64 0.45
+21 0 2 0 0 36 52 64 0.6
+21 0 2 0 0 36 53 64 0.75
+21 0 2 0 0 36 54 64 0.899999999999999
+21 0 2 0 0 36 55 64 1.05
+21 0 2 0 0 36 56 64 1.2
+21 0 2 0 0 36 57 64 1.35
+21 0 2 0 0 36 58 64 1.5
+21 0 2 0 0 36 59 64 1.65
+21 0 2 0 0 36 60 64 1.8
+21 0 2 0 0 36 61 64 1.95
+21 0 2 0 0 36 62 64 2.1
+21 0 2 0 0 36 63 64 2.25
+21 0 2 0 0 36 64 64 2.4
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 -1.35
+22 0 2 0 0 36 40 64 -1.2
+22 0 2 0 0 36 41 64 -1.05
+22 0 2 0 0 36 42 64 -0.9
+22 0 2 0 0 36 43 64 -0.75
+22 0 2 0 0 36 44 64 -0.6
+22 0 2 0 0 36 45 64 -0.45
+22 0 2 0 0 36 46 64 -0.3
+22 0 2 0 0 36 47 64 -0.15
+22 0 2 0 0 36 48 64 -4.44089209850063e-16
+22 0 2 0 0 36 49 64 0.15
+22 0 2 0 0 36 50 64 0.3
+22 0 2 0 0 36 51 64 0.45
+22 0 2 0 0 36 52 64 0.6
+22 0 2 0 0 36 53 64 0.75
+22 0 2 0 0 36 54 64 0.899999999999999
+22 0 2 0 0 36 55 64 1.05
+22 0 2 0 0 36 56 64 1.2
+22 0 2 0 0 36 57 64 1.35
+22 0 2 0 0 36 58 64 1.5
+22 0 2 0 0 36 59 64 1.65
+22 0 2 0 0 36 60 64 1.8
+22 0 2 0 0 36 61 64 1.95
+22 0 2 0 0 36 62 64 2.1
+22 0 2 0 0 36 63 64 2.25
+22 0 2 0 0 36 64 64 2.4
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 -3.3
+22 0 1 0 0 36 28 64 -3
+22 0 1 0 0 36 30 64 -2.7
+22 0 1 0 0 36 32 64 -2.4
+22 0 1 0 0 36 34 64 -2.1
+22 0 1 0 0 36 36 64 -1.8
+22 0 1 0 0 36 38 64 -1.5
+22 0 1 0 0 36 40 64 -1.2
+22 0 1 0 0 36 42 64 -0.9
+22 0 1 0 0 36 44 64 -0.6
+22 0 1 0 0 36 46 64 -0.3
+22 0 1 0 0 36 48 64 -4.44089209850063e-16
+22 0 1 0 0 36 50 64 0.3
+22 0 1 0 0 36 52 64 0.6
+22 0 1 0 0 36 54 64 0.899999999999999
+22 0 1 0 0 36 56 64 1.2
+22 0 1 0 0 36 58 64 1.5
+22 0 1 0 0 36 60 64 1.8
+22 0 1 0 0 36 62 64 2.1
+22 0 1 0 0 36 64 64 2.4
+22 0 1 0 0 36 66 64 2.7
+22 0 1 0 0 36 68 64 3
+22 0 1 0 0 36 70 64 3.3
+22 0 1 0 0 36 72 64 3.6
+22 0 1 0 0 36 74 64 3.9
+22 0 1 0 0 36 76 64 4.2
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 -1.35
+23 0 2 0 0 36 40 64 -1.2
+23 0 2 0 0 36 41 64 -1.05
+23 0 2 0 0 36 42 64 -0.9
+23 0 2 0 0 36 43 64 -0.75
+23 0 2 0 0 36 44 64 -0.6
+23 0 2 0 0 36 45 64 -0.45
+23 0 2 0 0 36 46 64 -0.3
+23 0 2 0 0 36 47 64 -0.15
+23 0 2 0 0 36 48 64 -4.44089209850063e-16
+23 0 2 0 0 36 49 64 0.15
+23 0 2 0 0 36 50 64 0.3
+23 0 2 0 0 36 51 64 0.45
+23 0 2 0 0 36 52 64 0.6
+23 0 2 0 0 36 53 64 0.75
+23 0 2 0 0 36 54 64 0.899999999999999
+23 0 2 0 0 36 55 64 1.05
+23 0 2 0 0 36 56 64 1.2
+23 0 2 0 0 36 57 64 1.35
+23 0 2 0 0 36 58 64 1.5
+23 0 2 0 0 36 59 64 1.65
+23 0 2 0 0 36 60 64 1.8
+23 0 2 0 0 36 61 64 1.95
+23 0 2 0 0 36 62 64 2.1
+23 0 2 0 0 36 63 64 2.25
+23 0 2 0 0 36 64 64 2.4
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 -1.35
+24 0 2 0 0 36 40 64 -1.2
+24 0 2 0 0 36 41 64 -1.05
+24 0 2 0 0 36 42 64 -0.9
+24 0 2 0 0 36 43 64 -0.75
+24 0 2 0 0 36 44 64 -0.6
+24 0 2 0 0 36 45 64 -0.45
+24 0 2 0 0 36 46 64 -0.3
+24 0 2 0 0 36 47 64 -0.15
+24 0 2 0 0 36 48 64 -4.44089209850063e-16
+24 0 2 0 0 36 49 64 0.15
+24 0 2 0 0 36 50 64 0.3
+24 0 2 0 0 36 51 64 0.45
+24 0 2 0 0 36 52 64 0.6
+24 0 2 0 0 36 53 64 0.75
+24 0 2 0 0 36 54 64 0.899999999999999
+24 0 2 0 0 36 55 64 1.05
+24 0 2 0 0 36 56 64 1.2
+24 0 2 0 0 36 57 64 1.35
+24 0 2 0 0 36 58 64 1.5
+24 0 2 0 0 36 59 64 1.65
+24 0 2 0 0 36 60 64 1.8
+24 0 2 0 0 36 61 64 1.95
+24 0 2 0 0 36 62 64 2.1
+24 0 2 0 0 36 63 64 2.25
+24 0 2 0 0 36 64 64 2.4
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 -3.3
+24 0 1 0 0 36 28 64 -3
+24 0 1 0 0 36 30 64 -2.7
+24 0 1 0 0 36 32 64 -2.4
+24 0 1 0 0 36 34 64 -2.1
+24 0 1 0 0 36 36 64 -1.8
+24 0 1 0 0 36 38 64 -1.5
+24 0 1 0 0 36 40 64 -1.2
+24 0 1 0 0 36 42 64 -0.9
+24 0 1 0 0 36 44 64 -0.6
+24 0 1 0 0 36 46 64 -0.3
+24 0 1 0 0 36 48 64 -4.44089209850063e-16
+24 0 1 0 0 36 50 64 0.3
+24 0 1 0 0 36 52 64 0.6
+24 0 1 0 0 36 54 64 0.899999999999999
+24 0 1 0 0 36 56 64 1.2
+24 0 1 0 0 36 58 64 1.5
+24 0 1 0 0 36 60 64 1.8
+24 0 1 0 0 36 62 64 2.1
+24 0 1 0 0 36 64 64 2.4
+24 0 1 0 0 36 66 64 2.7
+24 0 1 0 0 36 68 64 3
+24 0 1 0 0 36 70 64 3.3
+24 0 1 0 0 36 72 64 3.6
+24 0 1 0 0 36 74 64 3.9
+24 0 1 0 0 36 76 64 4.2
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 -7.2
+24 0 0 0 0 36 4 64 -6.6
+24 0 0 0 0 36 8 64 -6
+24 0 0 0 0 36 12 64 -5.4
+24 0 0 0 0 36 16 64 -4.8
+24 0 0 0 0 36 20 64 -4.2
+24 0 0 0 0 36 24 64 -3.6
+24 0 0 0 0 36 28 64 -3
+24 0 0 0 0 36 32 64 -2.4
+24 0 0 0 0 36 36 64 -1.8
+24 0 0 0 0 36 40 64 -1.2
+24 0 0 0 0 36 44 64 -0.6
+24 0 0 0 0 36 48 64 -4.44089209850063e-16
+24 0 0 0 0 36 52 64 0.6
+24 0 0 0 0 36 56 64 1.2
+24 0 0 0 0 36 60 64 1.8
+24 0 0 0 0 36 64 64 2.4
+24 0 0 0 0 36 68 64 3
+24 0 0 0 0 36 72 64 3.6
+24 0 0 0 0 36 76 64 4.2
+24 0 0 0 0 36 80 64 4.8
+24 0 0 0 0 36 84 64 5.4
+24 0 0 0 0 36 88 64 6
+24 0 0 0 0 36 92 64 6.6
+24 0 0 0 0 36 96 64 7.2
+24 0 0 0 0 36 100 64 7.8
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_y.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_y.zl
new file mode 100644
index 000000000..a9be0a73d
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_y.zl
@@ -0,0 +1,1757 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 -4.44089209850063e-16
+0 0 2 0 0 36 48 52 -4.44089209850063e-16
+0 0 2 0 0 36 48 53 -4.44089209850063e-16
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+0 0 2 0 0 36 48 56 -4.44089209850063e-16
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+0 0 2 0 0 36 48 61 -4.44089209850063e-16
+0 0 2 0 0 36 48 62 -4.44089209850063e-16
+0 0 2 0 0 36 48 63 -4.44089209850063e-16
+0 0 2 0 0 36 48 64 -4.44089209850063e-16
+0 0 2 0 0 36 48 65 -4.44089209850063e-16
+0 0 2 0 0 36 48 66 -4.44089209850063e-16
+0 0 2 0 0 36 48 67 -4.44089209850063e-16
+0 0 2 0 0 36 48 68 -4.44089209850063e-16
+0 0 2 0 0 36 48 69 -4.44089209850063e-16
+0 0 2 0 0 36 48 70 -4.44089209850063e-16
+0 0 2 0 0 36 48 71 -4.44089209850063e-16
+0 0 2 0 0 36 48 72 -4.44089209850063e-16
+0 0 2 0 0 36 48 73 -4.44089209850063e-16
+0 0 2 0 0 36 48 74 -4.44089209850063e-16
+0 0 2 0 0 36 48 75 -4.44089209850063e-16
+0 0 2 0 0 36 48 76 -4.44089209850063e-16
+0 0 2 0 0 36 48 77 -4.44089209850063e-16
+0 0 2 0 0 36 48 78 -4.44089209850063e-16
+0 0 2 0 0 36 48 79 -4.44089209850063e-16
+0 0 2 0 0 36 48 80 -4.44089209850063e-16
+0 0 2 0 0 36 48 81 -4.44089209850063e-16
+0 0 2 0 0 36 48 82 -4.44089209850063e-16
+0 0 2 0 0 36 48 83 -4.44089209850063e-16
+0 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -4.44089209850063e-16
+0 0 1 0 0 36 48 36 -4.44089209850063e-16
+0 0 1 0 0 36 48 38 -4.44089209850063e-16
+0 0 1 0 0 36 48 40 -4.44089209850063e-16
+0 0 1 0 0 36 48 42 -4.44089209850063e-16
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+0 0 1 0 0 36 48 48 -4.44089209850063e-16
+0 0 1 0 0 36 48 50 -4.44089209850063e-16
+0 0 1 0 0 36 48 52 -4.44089209850063e-16
+0 0 1 0 0 36 48 54 -4.44089209850063e-16
+0 0 1 0 0 36 48 56 -4.44089209850063e-16
+0 0 1 0 0 36 48 58 -4.44089209850063e-16
+0 0 1 0 0 36 48 60 -4.44089209850063e-16
+0 0 1 0 0 36 48 62 -4.44089209850063e-16
+0 0 1 0 0 36 48 64 -4.44089209850063e-16
+0 0 1 0 0 36 48 66 -4.44089209850063e-16
+0 0 1 0 0 36 48 68 -4.44089209850063e-16
+0 0 1 0 0 36 48 70 -4.44089209850063e-16
+0 0 1 0 0 36 48 72 -4.44089209850063e-16
+0 0 1 0 0 36 48 74 -4.44089209850063e-16
+0 0 1 0 0 36 48 76 -4.44089209850063e-16
+0 0 1 0 0 36 48 78 -4.44089209850063e-16
+0 0 1 0 0 36 48 80 -4.44089209850063e-16
+0 0 1 0 0 36 48 82 -4.44089209850063e-16
+0 0 1 0 0 36 48 84 -4.44089209850063e-16
+0 0 1 0 0 36 48 86 -4.44089209850063e-16
+0 0 1 0 0 36 48 88 -4.44089209850063e-16
+0 0 1 0 0 36 48 90 -4.44089209850063e-16
+0 0 1 0 0 36 48 92 -4.44089209850063e-16
+0 0 1 0 0 36 48 94 -4.44089209850063e-16
+0 0 1 0 0 36 48 96 -4.44089209850063e-16
+0 0 1 0 0 36 48 98 -4.44089209850063e-16
+0 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 -4.44089209850063e-16
+0 0 0 0 0 36 48 4 -4.44089209850063e-16
+0 0 0 0 0 36 48 8 -4.44089209850063e-16
+0 0 0 0 0 36 48 12 -4.44089209850063e-16
+0 0 0 0 0 36 48 16 -4.44089209850063e-16
+0 0 0 0 0 36 48 20 -4.44089209850063e-16
+0 0 0 0 0 36 48 24 -4.44089209850063e-16
+0 0 0 0 0 36 48 28 -4.44089209850063e-16
+0 0 0 0 0 36 48 32 -4.44089209850063e-16
+0 0 0 0 0 36 48 36 -4.44089209850063e-16
+0 0 0 0 0 36 48 40 -4.44089209850063e-16
+0 0 0 0 0 36 48 44 -4.44089209850063e-16
+0 0 0 0 0 36 48 48 -4.44089209850063e-16
+0 0 0 0 0 36 48 52 -4.44089209850063e-16
+0 0 0 0 0 36 48 56 -4.44089209850063e-16
+0 0 0 0 0 36 48 60 -4.44089209850063e-16
+0 0 0 0 0 36 48 64 -4.44089209850063e-16
+0 0 0 0 0 36 48 68 -4.44089209850063e-16
+0 0 0 0 0 36 48 72 -4.44089209850063e-16
+0 0 0 0 0 36 48 76 -4.44089209850063e-16
+0 0 0 0 0 36 48 80 -4.44089209850063e-16
+0 0 0 0 0 36 48 84 -4.44089209850063e-16
+0 0 0 0 0 36 48 88 -4.44089209850063e-16
+0 0 0 0 0 36 48 92 -4.44089209850063e-16
+0 0 0 0 0 36 48 96 -4.44089209850063e-16
+0 0 0 0 0 36 48 100 -4.44089209850063e-16
+0 0 0 0 0 36 48 104 -4.44089209850063e-16
+0 0 0 0 0 36 48 108 -4.44089209850063e-16
+0 0 0 0 0 36 48 112 -4.44089209850063e-16
+0 0 0 0 0 36 48 116 -4.44089209850063e-16
+0 0 0 0 0 36 48 120 -4.44089209850063e-16
+0 0 0 0 0 36 48 124 -4.44089209850063e-16
+0 0 0 0 0 36 48 128 -4.44089209850063e-16
+0 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 -4.44089209850063e-16
+1 0 2 0 0 36 48 52 -4.44089209850063e-16
+1 0 2 0 0 36 48 53 -4.44089209850063e-16
+1 0 2 0 0 36 48 54 -4.44089209850063e-16
+1 0 2 0 0 36 48 55 -4.44089209850063e-16
+1 0 2 0 0 36 48 56 -4.44089209850063e-16
+1 0 2 0 0 36 48 57 -4.44089209850063e-16
+1 0 2 0 0 36 48 58 -4.44089209850063e-16
+1 0 2 0 0 36 48 59 -4.44089209850063e-16
+1 0 2 0 0 36 48 60 -4.44089209850063e-16
+1 0 2 0 0 36 48 61 -4.44089209850063e-16
+1 0 2 0 0 36 48 62 -4.44089209850063e-16
+1 0 2 0 0 36 48 63 -4.44089209850063e-16
+1 0 2 0 0 36 48 64 -4.44089209850063e-16
+1 0 2 0 0 36 48 65 -4.44089209850063e-16
+1 0 2 0 0 36 48 66 -4.44089209850063e-16
+1 0 2 0 0 36 48 67 -4.44089209850063e-16
+1 0 2 0 0 36 48 68 -4.44089209850063e-16
+1 0 2 0 0 36 48 69 -4.44089209850063e-16
+1 0 2 0 0 36 48 70 -4.44089209850063e-16
+1 0 2 0 0 36 48 71 -4.44089209850063e-16
+1 0 2 0 0 36 48 72 -4.44089209850063e-16
+1 0 2 0 0 36 48 73 -4.44089209850063e-16
+1 0 2 0 0 36 48 74 -4.44089209850063e-16
+1 0 2 0 0 36 48 75 -4.44089209850063e-16
+1 0 2 0 0 36 48 76 -4.44089209850063e-16
+1 0 2 0 0 36 48 77 -4.44089209850063e-16
+1 0 2 0 0 36 48 78 -4.44089209850063e-16
+1 0 2 0 0 36 48 79 -4.44089209850063e-16
+1 0 2 0 0 36 48 80 -4.44089209850063e-16
+1 0 2 0 0 36 48 81 -4.44089209850063e-16
+1 0 2 0 0 36 48 82 -4.44089209850063e-16
+1 0 2 0 0 36 48 83 -4.44089209850063e-16
+1 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 -4.44089209850063e-16
+2 0 2 0 0 36 48 52 -4.44089209850063e-16
+2 0 2 0 0 36 48 53 -4.44089209850063e-16
+2 0 2 0 0 36 48 54 -4.44089209850063e-16
+2 0 2 0 0 36 48 55 -4.44089209850063e-16
+2 0 2 0 0 36 48 56 -4.44089209850063e-16
+2 0 2 0 0 36 48 57 -4.44089209850063e-16
+2 0 2 0 0 36 48 58 -4.44089209850063e-16
+2 0 2 0 0 36 48 59 -4.44089209850063e-16
+2 0 2 0 0 36 48 60 -4.44089209850063e-16
+2 0 2 0 0 36 48 61 -4.44089209850063e-16
+2 0 2 0 0 36 48 62 -4.44089209850063e-16
+2 0 2 0 0 36 48 63 -4.44089209850063e-16
+2 0 2 0 0 36 48 64 -4.44089209850063e-16
+2 0 2 0 0 36 48 65 -4.44089209850063e-16
+2 0 2 0 0 36 48 66 -4.44089209850063e-16
+2 0 2 0 0 36 48 67 -4.44089209850063e-16
+2 0 2 0 0 36 48 68 -4.44089209850063e-16
+2 0 2 0 0 36 48 69 -4.44089209850063e-16
+2 0 2 0 0 36 48 70 -4.44089209850063e-16
+2 0 2 0 0 36 48 71 -4.44089209850063e-16
+2 0 2 0 0 36 48 72 -4.44089209850063e-16
+2 0 2 0 0 36 48 73 -4.44089209850063e-16
+2 0 2 0 0 36 48 74 -4.44089209850063e-16
+2 0 2 0 0 36 48 75 -4.44089209850063e-16
+2 0 2 0 0 36 48 76 -4.44089209850063e-16
+2 0 2 0 0 36 48 77 -4.44089209850063e-16
+2 0 2 0 0 36 48 78 -4.44089209850063e-16
+2 0 2 0 0 36 48 79 -4.44089209850063e-16
+2 0 2 0 0 36 48 80 -4.44089209850063e-16
+2 0 2 0 0 36 48 81 -4.44089209850063e-16
+2 0 2 0 0 36 48 82 -4.44089209850063e-16
+2 0 2 0 0 36 48 83 -4.44089209850063e-16
+2 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -4.44089209850063e-16
+2 0 1 0 0 36 48 36 -4.44089209850063e-16
+2 0 1 0 0 36 48 38 -4.44089209850063e-16
+2 0 1 0 0 36 48 40 -4.44089209850063e-16
+2 0 1 0 0 36 48 42 -4.44089209850063e-16
+2 0 1 0 0 36 48 44 -4.44089209850063e-16
+2 0 1 0 0 36 48 46 -4.44089209850063e-16
+2 0 1 0 0 36 48 48 -4.44089209850063e-16
+2 0 1 0 0 36 48 50 -4.44089209850063e-16
+2 0 1 0 0 36 48 52 -4.44089209850063e-16
+2 0 1 0 0 36 48 54 -4.44089209850063e-16
+2 0 1 0 0 36 48 56 -4.44089209850063e-16
+2 0 1 0 0 36 48 58 -4.44089209850063e-16
+2 0 1 0 0 36 48 60 -4.44089209850063e-16
+2 0 1 0 0 36 48 62 -4.44089209850063e-16
+2 0 1 0 0 36 48 64 -4.44089209850063e-16
+2 0 1 0 0 36 48 66 -4.44089209850063e-16
+2 0 1 0 0 36 48 68 -4.44089209850063e-16
+2 0 1 0 0 36 48 70 -4.44089209850063e-16
+2 0 1 0 0 36 48 72 -4.44089209850063e-16
+2 0 1 0 0 36 48 74 -4.44089209850063e-16
+2 0 1 0 0 36 48 76 -4.44089209850063e-16
+2 0 1 0 0 36 48 78 -4.44089209850063e-16
+2 0 1 0 0 36 48 80 -4.44089209850063e-16
+2 0 1 0 0 36 48 82 -4.44089209850063e-16
+2 0 1 0 0 36 48 84 -4.44089209850063e-16
+2 0 1 0 0 36 48 86 -4.44089209850063e-16
+2 0 1 0 0 36 48 88 -4.44089209850063e-16
+2 0 1 0 0 36 48 90 -4.44089209850063e-16
+2 0 1 0 0 36 48 92 -4.44089209850063e-16
+2 0 1 0 0 36 48 94 -4.44089209850063e-16
+2 0 1 0 0 36 48 96 -4.44089209850063e-16
+2 0 1 0 0 36 48 98 -4.44089209850063e-16
+2 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 -4.44089209850063e-16
+3 0 2 0 0 36 48 52 -4.44089209850063e-16
+3 0 2 0 0 36 48 53 -4.44089209850063e-16
+3 0 2 0 0 36 48 54 -4.44089209850063e-16
+3 0 2 0 0 36 48 55 -4.44089209850063e-16
+3 0 2 0 0 36 48 56 -4.44089209850063e-16
+3 0 2 0 0 36 48 57 -4.44089209850063e-16
+3 0 2 0 0 36 48 58 -4.44089209850063e-16
+3 0 2 0 0 36 48 59 -4.44089209850063e-16
+3 0 2 0 0 36 48 60 -4.44089209850063e-16
+3 0 2 0 0 36 48 61 -4.44089209850063e-16
+3 0 2 0 0 36 48 62 -4.44089209850063e-16
+3 0 2 0 0 36 48 63 -4.44089209850063e-16
+3 0 2 0 0 36 48 64 -4.44089209850063e-16
+3 0 2 0 0 36 48 65 -4.44089209850063e-16
+3 0 2 0 0 36 48 66 -4.44089209850063e-16
+3 0 2 0 0 36 48 67 -4.44089209850063e-16
+3 0 2 0 0 36 48 68 -4.44089209850063e-16
+3 0 2 0 0 36 48 69 -4.44089209850063e-16
+3 0 2 0 0 36 48 70 -4.44089209850063e-16
+3 0 2 0 0 36 48 71 -4.44089209850063e-16
+3 0 2 0 0 36 48 72 -4.44089209850063e-16
+3 0 2 0 0 36 48 73 -4.44089209850063e-16
+3 0 2 0 0 36 48 74 -4.44089209850063e-16
+3 0 2 0 0 36 48 75 -4.44089209850063e-16
+3 0 2 0 0 36 48 76 -4.44089209850063e-16
+3 0 2 0 0 36 48 77 -4.44089209850063e-16
+3 0 2 0 0 36 48 78 -4.44089209850063e-16
+3 0 2 0 0 36 48 79 -4.44089209850063e-16
+3 0 2 0 0 36 48 80 -4.44089209850063e-16
+3 0 2 0 0 36 48 81 -4.44089209850063e-16
+3 0 2 0 0 36 48 82 -4.44089209850063e-16
+3 0 2 0 0 36 48 83 -4.44089209850063e-16
+3 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 -4.44089209850063e-16
+4 0 2 0 0 36 48 52 -4.44089209850063e-16
+4 0 2 0 0 36 48 53 -4.44089209850063e-16
+4 0 2 0 0 36 48 54 -4.44089209850063e-16
+4 0 2 0 0 36 48 55 -4.44089209850063e-16
+4 0 2 0 0 36 48 56 -4.44089209850063e-16
+4 0 2 0 0 36 48 57 -4.44089209850063e-16
+4 0 2 0 0 36 48 58 -4.44089209850063e-16
+4 0 2 0 0 36 48 59 -4.44089209850063e-16
+4 0 2 0 0 36 48 60 -4.44089209850063e-16
+4 0 2 0 0 36 48 61 -4.44089209850063e-16
+4 0 2 0 0 36 48 62 -4.44089209850063e-16
+4 0 2 0 0 36 48 63 -4.44089209850063e-16
+4 0 2 0 0 36 48 64 -4.44089209850063e-16
+4 0 2 0 0 36 48 65 -4.44089209850063e-16
+4 0 2 0 0 36 48 66 -4.44089209850063e-16
+4 0 2 0 0 36 48 67 -4.44089209850063e-16
+4 0 2 0 0 36 48 68 -4.44089209850063e-16
+4 0 2 0 0 36 48 69 -4.44089209850063e-16
+4 0 2 0 0 36 48 70 -4.44089209850063e-16
+4 0 2 0 0 36 48 71 -4.44089209850063e-16
+4 0 2 0 0 36 48 72 -4.44089209850063e-16
+4 0 2 0 0 36 48 73 -4.44089209850063e-16
+4 0 2 0 0 36 48 74 -4.44089209850063e-16
+4 0 2 0 0 36 48 75 -4.44089209850063e-16
+4 0 2 0 0 36 48 76 -4.44089209850063e-16
+4 0 2 0 0 36 48 77 -4.44089209850063e-16
+4 0 2 0 0 36 48 78 -4.44089209850063e-16
+4 0 2 0 0 36 48 79 -4.44089209850063e-16
+4 0 2 0 0 36 48 80 -4.44089209850063e-16
+4 0 2 0 0 36 48 81 -4.44089209850063e-16
+4 0 2 0 0 36 48 82 -4.44089209850063e-16
+4 0 2 0 0 36 48 83 -4.44089209850063e-16
+4 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -4.44089209850063e-16
+4 0 1 0 0 36 48 36 -4.44089209850063e-16
+4 0 1 0 0 36 48 38 -4.44089209850063e-16
+4 0 1 0 0 36 48 40 -4.44089209850063e-16
+4 0 1 0 0 36 48 42 -4.44089209850063e-16
+4 0 1 0 0 36 48 44 -4.44089209850063e-16
+4 0 1 0 0 36 48 46 -4.44089209850063e-16
+4 0 1 0 0 36 48 48 -4.44089209850063e-16
+4 0 1 0 0 36 48 50 -4.44089209850063e-16
+4 0 1 0 0 36 48 52 -4.44089209850063e-16
+4 0 1 0 0 36 48 54 -4.44089209850063e-16
+4 0 1 0 0 36 48 56 -4.44089209850063e-16
+4 0 1 0 0 36 48 58 -4.44089209850063e-16
+4 0 1 0 0 36 48 60 -4.44089209850063e-16
+4 0 1 0 0 36 48 62 -4.44089209850063e-16
+4 0 1 0 0 36 48 64 -4.44089209850063e-16
+4 0 1 0 0 36 48 66 -4.44089209850063e-16
+4 0 1 0 0 36 48 68 -4.44089209850063e-16
+4 0 1 0 0 36 48 70 -4.44089209850063e-16
+4 0 1 0 0 36 48 72 -4.44089209850063e-16
+4 0 1 0 0 36 48 74 -4.44089209850063e-16
+4 0 1 0 0 36 48 76 -4.44089209850063e-16
+4 0 1 0 0 36 48 78 -4.44089209850063e-16
+4 0 1 0 0 36 48 80 -4.44089209850063e-16
+4 0 1 0 0 36 48 82 -4.44089209850063e-16
+4 0 1 0 0 36 48 84 -4.44089209850063e-16
+4 0 1 0 0 36 48 86 -4.44089209850063e-16
+4 0 1 0 0 36 48 88 -4.44089209850063e-16
+4 0 1 0 0 36 48 90 -4.44089209850063e-16
+4 0 1 0 0 36 48 92 -4.44089209850063e-16
+4 0 1 0 0 36 48 94 -4.44089209850063e-16
+4 0 1 0 0 36 48 96 -4.44089209850063e-16
+4 0 1 0 0 36 48 98 -4.44089209850063e-16
+4 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 -4.44089209850063e-16
+4 0 0 0 0 36 48 4 -4.44089209850063e-16
+4 0 0 0 0 36 48 8 -4.44089209850063e-16
+4 0 0 0 0 36 48 12 -4.44089209850063e-16
+4 0 0 0 0 36 48 16 -4.44089209850063e-16
+4 0 0 0 0 36 48 20 -4.44089209850063e-16
+4 0 0 0 0 36 48 24 -4.44089209850063e-16
+4 0 0 0 0 36 48 28 -4.44089209850063e-16
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+4 0 0 0 0 36 48 80 -4.44089209850063e-16
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+4 0 0 0 0 36 48 92 -4.44089209850063e-16
+4 0 0 0 0 36 48 96 -4.44089209850063e-16
+4 0 0 0 0 36 48 100 -4.44089209850063e-16
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+4 0 0 0 0 36 48 112 -4.44089209850063e-16
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+4 0 0 0 0 36 48 120 -4.44089209850063e-16
+4 0 0 0 0 36 48 124 -4.44089209850063e-16
+4 0 0 0 0 36 48 128 -4.44089209850063e-16
+4 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 -4.44089209850063e-16
+5 0 2 0 0 36 48 52 -4.44089209850063e-16
+5 0 2 0 0 36 48 53 -4.44089209850063e-16
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+5 0 2 0 0 36 48 65 -4.44089209850063e-16
+5 0 2 0 0 36 48 66 -4.44089209850063e-16
+5 0 2 0 0 36 48 67 -4.44089209850063e-16
+5 0 2 0 0 36 48 68 -4.44089209850063e-16
+5 0 2 0 0 36 48 69 -4.44089209850063e-16
+5 0 2 0 0 36 48 70 -4.44089209850063e-16
+5 0 2 0 0 36 48 71 -4.44089209850063e-16
+5 0 2 0 0 36 48 72 -4.44089209850063e-16
+5 0 2 0 0 36 48 73 -4.44089209850063e-16
+5 0 2 0 0 36 48 74 -4.44089209850063e-16
+5 0 2 0 0 36 48 75 -4.44089209850063e-16
+5 0 2 0 0 36 48 76 -4.44089209850063e-16
+5 0 2 0 0 36 48 77 -4.44089209850063e-16
+5 0 2 0 0 36 48 78 -4.44089209850063e-16
+5 0 2 0 0 36 48 79 -4.44089209850063e-16
+5 0 2 0 0 36 48 80 -4.44089209850063e-16
+5 0 2 0 0 36 48 81 -4.44089209850063e-16
+5 0 2 0 0 36 48 82 -4.44089209850063e-16
+5 0 2 0 0 36 48 83 -4.44089209850063e-16
+5 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 -4.44089209850063e-16
+6 0 2 0 0 36 48 52 -4.44089209850063e-16
+6 0 2 0 0 36 48 53 -4.44089209850063e-16
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+6 0 2 0 0 36 48 66 -4.44089209850063e-16
+6 0 2 0 0 36 48 67 -4.44089209850063e-16
+6 0 2 0 0 36 48 68 -4.44089209850063e-16
+6 0 2 0 0 36 48 69 -4.44089209850063e-16
+6 0 2 0 0 36 48 70 -4.44089209850063e-16
+6 0 2 0 0 36 48 71 -4.44089209850063e-16
+6 0 2 0 0 36 48 72 -4.44089209850063e-16
+6 0 2 0 0 36 48 73 -4.44089209850063e-16
+6 0 2 0 0 36 48 74 -4.44089209850063e-16
+6 0 2 0 0 36 48 75 -4.44089209850063e-16
+6 0 2 0 0 36 48 76 -4.44089209850063e-16
+6 0 2 0 0 36 48 77 -4.44089209850063e-16
+6 0 2 0 0 36 48 78 -4.44089209850063e-16
+6 0 2 0 0 36 48 79 -4.44089209850063e-16
+6 0 2 0 0 36 48 80 -4.44089209850063e-16
+6 0 2 0 0 36 48 81 -4.44089209850063e-16
+6 0 2 0 0 36 48 82 -4.44089209850063e-16
+6 0 2 0 0 36 48 83 -4.44089209850063e-16
+6 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -4.44089209850063e-16
+6 0 1 0 0 36 48 36 -4.44089209850063e-16
+6 0 1 0 0 36 48 38 -4.44089209850063e-16
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+6 0 1 0 0 36 48 54 -4.44089209850063e-16
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+6 0 1 0 0 36 48 58 -4.44089209850063e-16
+6 0 1 0 0 36 48 60 -4.44089209850063e-16
+6 0 1 0 0 36 48 62 -4.44089209850063e-16
+6 0 1 0 0 36 48 64 -4.44089209850063e-16
+6 0 1 0 0 36 48 66 -4.44089209850063e-16
+6 0 1 0 0 36 48 68 -4.44089209850063e-16
+6 0 1 0 0 36 48 70 -4.44089209850063e-16
+6 0 1 0 0 36 48 72 -4.44089209850063e-16
+6 0 1 0 0 36 48 74 -4.44089209850063e-16
+6 0 1 0 0 36 48 76 -4.44089209850063e-16
+6 0 1 0 0 36 48 78 -4.44089209850063e-16
+6 0 1 0 0 36 48 80 -4.44089209850063e-16
+6 0 1 0 0 36 48 82 -4.44089209850063e-16
+6 0 1 0 0 36 48 84 -4.44089209850063e-16
+6 0 1 0 0 36 48 86 -4.44089209850063e-16
+6 0 1 0 0 36 48 88 -4.44089209850063e-16
+6 0 1 0 0 36 48 90 -4.44089209850063e-16
+6 0 1 0 0 36 48 92 -4.44089209850063e-16
+6 0 1 0 0 36 48 94 -4.44089209850063e-16
+6 0 1 0 0 36 48 96 -4.44089209850063e-16
+6 0 1 0 0 36 48 98 -4.44089209850063e-16
+6 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 -4.44089209850063e-16
+7 0 2 0 0 36 48 52 -4.44089209850063e-16
+7 0 2 0 0 36 48 53 -4.44089209850063e-16
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+7 0 2 0 0 36 48 64 -4.44089209850063e-16
+7 0 2 0 0 36 48 65 -4.44089209850063e-16
+7 0 2 0 0 36 48 66 -4.44089209850063e-16
+7 0 2 0 0 36 48 67 -4.44089209850063e-16
+7 0 2 0 0 36 48 68 -4.44089209850063e-16
+7 0 2 0 0 36 48 69 -4.44089209850063e-16
+7 0 2 0 0 36 48 70 -4.44089209850063e-16
+7 0 2 0 0 36 48 71 -4.44089209850063e-16
+7 0 2 0 0 36 48 72 -4.44089209850063e-16
+7 0 2 0 0 36 48 73 -4.44089209850063e-16
+7 0 2 0 0 36 48 74 -4.44089209850063e-16
+7 0 2 0 0 36 48 75 -4.44089209850063e-16
+7 0 2 0 0 36 48 76 -4.44089209850063e-16
+7 0 2 0 0 36 48 77 -4.44089209850063e-16
+7 0 2 0 0 36 48 78 -4.44089209850063e-16
+7 0 2 0 0 36 48 79 -4.44089209850063e-16
+7 0 2 0 0 36 48 80 -4.44089209850063e-16
+7 0 2 0 0 36 48 81 -4.44089209850063e-16
+7 0 2 0 0 36 48 82 -4.44089209850063e-16
+7 0 2 0 0 36 48 83 -4.44089209850063e-16
+7 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 -4.44089209850063e-16
+8 0 2 0 0 36 48 52 -4.44089209850063e-16
+8 0 2 0 0 36 48 53 -4.44089209850063e-16
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+8 0 2 0 0 36 48 66 -4.44089209850063e-16
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+8 0 2 0 0 36 48 68 -4.44089209850063e-16
+8 0 2 0 0 36 48 69 -4.44089209850063e-16
+8 0 2 0 0 36 48 70 -4.44089209850063e-16
+8 0 2 0 0 36 48 71 -4.44089209850063e-16
+8 0 2 0 0 36 48 72 -4.44089209850063e-16
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+8 0 2 0 0 36 48 77 -4.44089209850063e-16
+8 0 2 0 0 36 48 78 -4.44089209850063e-16
+8 0 2 0 0 36 48 79 -4.44089209850063e-16
+8 0 2 0 0 36 48 80 -4.44089209850063e-16
+8 0 2 0 0 36 48 81 -4.44089209850063e-16
+8 0 2 0 0 36 48 82 -4.44089209850063e-16
+8 0 2 0 0 36 48 83 -4.44089209850063e-16
+8 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -4.44089209850063e-16
+8 0 1 0 0 36 48 36 -4.44089209850063e-16
+8 0 1 0 0 36 48 38 -4.44089209850063e-16
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+8 0 1 0 0 36 48 70 -4.44089209850063e-16
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+8 0 1 0 0 36 48 84 -4.44089209850063e-16
+8 0 1 0 0 36 48 86 -4.44089209850063e-16
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+8 0 1 0 0 36 48 90 -4.44089209850063e-16
+8 0 1 0 0 36 48 92 -4.44089209850063e-16
+8 0 1 0 0 36 48 94 -4.44089209850063e-16
+8 0 1 0 0 36 48 96 -4.44089209850063e-16
+8 0 1 0 0 36 48 98 -4.44089209850063e-16
+8 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 -4.44089209850063e-16
+8 0 0 0 0 36 48 4 -4.44089209850063e-16
+8 0 0 0 0 36 48 8 -4.44089209850063e-16
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+8 0 0 0 0 36 48 60 -4.44089209850063e-16
+8 0 0 0 0 36 48 64 -4.44089209850063e-16
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+8 0 0 0 0 36 48 72 -4.44089209850063e-16
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+8 0 0 0 0 36 48 80 -4.44089209850063e-16
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+8 0 0 0 0 36 48 100 -4.44089209850063e-16
+8 0 0 0 0 36 48 104 -4.44089209850063e-16
+8 0 0 0 0 36 48 108 -4.44089209850063e-16
+8 0 0 0 0 36 48 112 -4.44089209850063e-16
+8 0 0 0 0 36 48 116 -4.44089209850063e-16
+8 0 0 0 0 36 48 120 -4.44089209850063e-16
+8 0 0 0 0 36 48 124 -4.44089209850063e-16
+8 0 0 0 0 36 48 128 -4.44089209850063e-16
+8 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 -4.44089209850063e-16
+9 0 2 0 0 36 48 52 -4.44089209850063e-16
+9 0 2 0 0 36 48 53 -4.44089209850063e-16
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+9 0 2 0 0 36 48 56 -4.44089209850063e-16
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+9 0 2 0 0 36 48 61 -4.44089209850063e-16
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+9 0 2 0 0 36 48 67 -4.44089209850063e-16
+9 0 2 0 0 36 48 68 -4.44089209850063e-16
+9 0 2 0 0 36 48 69 -4.44089209850063e-16
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+9 0 2 0 0 36 48 72 -4.44089209850063e-16
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+9 0 2 0 0 36 48 77 -4.44089209850063e-16
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+9 0 2 0 0 36 48 79 -4.44089209850063e-16
+9 0 2 0 0 36 48 80 -4.44089209850063e-16
+9 0 2 0 0 36 48 81 -4.44089209850063e-16
+9 0 2 0 0 36 48 82 -4.44089209850063e-16
+9 0 2 0 0 36 48 83 -4.44089209850063e-16
+9 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 -4.44089209850063e-16
+10 0 2 0 0 36 48 52 -4.44089209850063e-16
+10 0 2 0 0 36 48 53 -4.44089209850063e-16
+10 0 2 0 0 36 48 54 -4.44089209850063e-16
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+10 0 2 0 0 36 48 56 -4.44089209850063e-16
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+10 0 2 0 0 36 48 58 -4.44089209850063e-16
+10 0 2 0 0 36 48 59 -4.44089209850063e-16
+10 0 2 0 0 36 48 60 -4.44089209850063e-16
+10 0 2 0 0 36 48 61 -4.44089209850063e-16
+10 0 2 0 0 36 48 62 -4.44089209850063e-16
+10 0 2 0 0 36 48 63 -4.44089209850063e-16
+10 0 2 0 0 36 48 64 -4.44089209850063e-16
+10 0 2 0 0 36 48 65 -4.44089209850063e-16
+10 0 2 0 0 36 48 66 -4.44089209850063e-16
+10 0 2 0 0 36 48 67 -4.44089209850063e-16
+10 0 2 0 0 36 48 68 -4.44089209850063e-16
+10 0 2 0 0 36 48 69 -4.44089209850063e-16
+10 0 2 0 0 36 48 70 -4.44089209850063e-16
+10 0 2 0 0 36 48 71 -4.44089209850063e-16
+10 0 2 0 0 36 48 72 -4.44089209850063e-16
+10 0 2 0 0 36 48 73 -4.44089209850063e-16
+10 0 2 0 0 36 48 74 -4.44089209850063e-16
+10 0 2 0 0 36 48 75 -4.44089209850063e-16
+10 0 2 0 0 36 48 76 -4.44089209850063e-16
+10 0 2 0 0 36 48 77 -4.44089209850063e-16
+10 0 2 0 0 36 48 78 -4.44089209850063e-16
+10 0 2 0 0 36 48 79 -4.44089209850063e-16
+10 0 2 0 0 36 48 80 -4.44089209850063e-16
+10 0 2 0 0 36 48 81 -4.44089209850063e-16
+10 0 2 0 0 36 48 82 -4.44089209850063e-16
+10 0 2 0 0 36 48 83 -4.44089209850063e-16
+10 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -4.44089209850063e-16
+10 0 1 0 0 36 48 36 -4.44089209850063e-16
+10 0 1 0 0 36 48 38 -4.44089209850063e-16
+10 0 1 0 0 36 48 40 -4.44089209850063e-16
+10 0 1 0 0 36 48 42 -4.44089209850063e-16
+10 0 1 0 0 36 48 44 -4.44089209850063e-16
+10 0 1 0 0 36 48 46 -4.44089209850063e-16
+10 0 1 0 0 36 48 48 -4.44089209850063e-16
+10 0 1 0 0 36 48 50 -4.44089209850063e-16
+10 0 1 0 0 36 48 52 -4.44089209850063e-16
+10 0 1 0 0 36 48 54 -4.44089209850063e-16
+10 0 1 0 0 36 48 56 -4.44089209850063e-16
+10 0 1 0 0 36 48 58 -4.44089209850063e-16
+10 0 1 0 0 36 48 60 -4.44089209850063e-16
+10 0 1 0 0 36 48 62 -4.44089209850063e-16
+10 0 1 0 0 36 48 64 -4.44089209850063e-16
+10 0 1 0 0 36 48 66 -4.44089209850063e-16
+10 0 1 0 0 36 48 68 -4.44089209850063e-16
+10 0 1 0 0 36 48 70 -4.44089209850063e-16
+10 0 1 0 0 36 48 72 -4.44089209850063e-16
+10 0 1 0 0 36 48 74 -4.44089209850063e-16
+10 0 1 0 0 36 48 76 -4.44089209850063e-16
+10 0 1 0 0 36 48 78 -4.44089209850063e-16
+10 0 1 0 0 36 48 80 -4.44089209850063e-16
+10 0 1 0 0 36 48 82 -4.44089209850063e-16
+10 0 1 0 0 36 48 84 -4.44089209850063e-16
+10 0 1 0 0 36 48 86 -4.44089209850063e-16
+10 0 1 0 0 36 48 88 -4.44089209850063e-16
+10 0 1 0 0 36 48 90 -4.44089209850063e-16
+10 0 1 0 0 36 48 92 -4.44089209850063e-16
+10 0 1 0 0 36 48 94 -4.44089209850063e-16
+10 0 1 0 0 36 48 96 -4.44089209850063e-16
+10 0 1 0 0 36 48 98 -4.44089209850063e-16
+10 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 -4.44089209850063e-16
+11 0 2 0 0 36 48 52 -4.44089209850063e-16
+11 0 2 0 0 36 48 53 -4.44089209850063e-16
+11 0 2 0 0 36 48 54 -4.44089209850063e-16
+11 0 2 0 0 36 48 55 -4.44089209850063e-16
+11 0 2 0 0 36 48 56 -4.44089209850063e-16
+11 0 2 0 0 36 48 57 -4.44089209850063e-16
+11 0 2 0 0 36 48 58 -4.44089209850063e-16
+11 0 2 0 0 36 48 59 -4.44089209850063e-16
+11 0 2 0 0 36 48 60 -4.44089209850063e-16
+11 0 2 0 0 36 48 61 -4.44089209850063e-16
+11 0 2 0 0 36 48 62 -4.44089209850063e-16
+11 0 2 0 0 36 48 63 -4.44089209850063e-16
+11 0 2 0 0 36 48 64 -4.44089209850063e-16
+11 0 2 0 0 36 48 65 -4.44089209850063e-16
+11 0 2 0 0 36 48 66 -4.44089209850063e-16
+11 0 2 0 0 36 48 67 -4.44089209850063e-16
+11 0 2 0 0 36 48 68 -4.44089209850063e-16
+11 0 2 0 0 36 48 69 -4.44089209850063e-16
+11 0 2 0 0 36 48 70 -4.44089209850063e-16
+11 0 2 0 0 36 48 71 -4.44089209850063e-16
+11 0 2 0 0 36 48 72 -4.44089209850063e-16
+11 0 2 0 0 36 48 73 -4.44089209850063e-16
+11 0 2 0 0 36 48 74 -4.44089209850063e-16
+11 0 2 0 0 36 48 75 -4.44089209850063e-16
+11 0 2 0 0 36 48 76 -4.44089209850063e-16
+11 0 2 0 0 36 48 77 -4.44089209850063e-16
+11 0 2 0 0 36 48 78 -4.44089209850063e-16
+11 0 2 0 0 36 48 79 -4.44089209850063e-16
+11 0 2 0 0 36 48 80 -4.44089209850063e-16
+11 0 2 0 0 36 48 81 -4.44089209850063e-16
+11 0 2 0 0 36 48 82 -4.44089209850063e-16
+11 0 2 0 0 36 48 83 -4.44089209850063e-16
+11 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 -4.44089209850063e-16
+12 0 2 0 0 36 48 52 -4.44089209850063e-16
+12 0 2 0 0 36 48 53 -4.44089209850063e-16
+12 0 2 0 0 36 48 54 -4.44089209850063e-16
+12 0 2 0 0 36 48 55 -4.44089209850063e-16
+12 0 2 0 0 36 48 56 -4.44089209850063e-16
+12 0 2 0 0 36 48 57 -4.44089209850063e-16
+12 0 2 0 0 36 48 58 -4.44089209850063e-16
+12 0 2 0 0 36 48 59 -4.44089209850063e-16
+12 0 2 0 0 36 48 60 -4.44089209850063e-16
+12 0 2 0 0 36 48 61 -4.44089209850063e-16
+12 0 2 0 0 36 48 62 -4.44089209850063e-16
+12 0 2 0 0 36 48 63 -4.44089209850063e-16
+12 0 2 0 0 36 48 64 -4.44089209850063e-16
+12 0 2 0 0 36 48 65 -4.44089209850063e-16
+12 0 2 0 0 36 48 66 -4.44089209850063e-16
+12 0 2 0 0 36 48 67 -4.44089209850063e-16
+12 0 2 0 0 36 48 68 -4.44089209850063e-16
+12 0 2 0 0 36 48 69 -4.44089209850063e-16
+12 0 2 0 0 36 48 70 -4.44089209850063e-16
+12 0 2 0 0 36 48 71 -4.44089209850063e-16
+12 0 2 0 0 36 48 72 -4.44089209850063e-16
+12 0 2 0 0 36 48 73 -4.44089209850063e-16
+12 0 2 0 0 36 48 74 -4.44089209850063e-16
+12 0 2 0 0 36 48 75 -4.44089209850063e-16
+12 0 2 0 0 36 48 76 -4.44089209850063e-16
+12 0 2 0 0 36 48 77 -4.44089209850063e-16
+12 0 2 0 0 36 48 78 -4.44089209850063e-16
+12 0 2 0 0 36 48 79 -4.44089209850063e-16
+12 0 2 0 0 36 48 80 -4.44089209850063e-16
+12 0 2 0 0 36 48 81 -4.44089209850063e-16
+12 0 2 0 0 36 48 82 -4.44089209850063e-16
+12 0 2 0 0 36 48 83 -4.44089209850063e-16
+12 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -4.44089209850063e-16
+12 0 1 0 0 36 48 36 -4.44089209850063e-16
+12 0 1 0 0 36 48 38 -4.44089209850063e-16
+12 0 1 0 0 36 48 40 -4.44089209850063e-16
+12 0 1 0 0 36 48 42 -4.44089209850063e-16
+12 0 1 0 0 36 48 44 -4.44089209850063e-16
+12 0 1 0 0 36 48 46 -4.44089209850063e-16
+12 0 1 0 0 36 48 48 -4.44089209850063e-16
+12 0 1 0 0 36 48 50 -4.44089209850063e-16
+12 0 1 0 0 36 48 52 -4.44089209850063e-16
+12 0 1 0 0 36 48 54 -4.44089209850063e-16
+12 0 1 0 0 36 48 56 -4.44089209850063e-16
+12 0 1 0 0 36 48 58 -4.44089209850063e-16
+12 0 1 0 0 36 48 60 -4.44089209850063e-16
+12 0 1 0 0 36 48 62 -4.44089209850063e-16
+12 0 1 0 0 36 48 64 -4.44089209850063e-16
+12 0 1 0 0 36 48 66 -4.44089209850063e-16
+12 0 1 0 0 36 48 68 -4.44089209850063e-16
+12 0 1 0 0 36 48 70 -4.44089209850063e-16
+12 0 1 0 0 36 48 72 -4.44089209850063e-16
+12 0 1 0 0 36 48 74 -4.44089209850063e-16
+12 0 1 0 0 36 48 76 -4.44089209850063e-16
+12 0 1 0 0 36 48 78 -4.44089209850063e-16
+12 0 1 0 0 36 48 80 -4.44089209850063e-16
+12 0 1 0 0 36 48 82 -4.44089209850063e-16
+12 0 1 0 0 36 48 84 -4.44089209850063e-16
+12 0 1 0 0 36 48 86 -4.44089209850063e-16
+12 0 1 0 0 36 48 88 -4.44089209850063e-16
+12 0 1 0 0 36 48 90 -4.44089209850063e-16
+12 0 1 0 0 36 48 92 -4.44089209850063e-16
+12 0 1 0 0 36 48 94 -4.44089209850063e-16
+12 0 1 0 0 36 48 96 -4.44089209850063e-16
+12 0 1 0 0 36 48 98 -4.44089209850063e-16
+12 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 -4.44089209850063e-16
+12 0 0 0 0 36 48 4 -4.44089209850063e-16
+12 0 0 0 0 36 48 8 -4.44089209850063e-16
+12 0 0 0 0 36 48 12 -4.44089209850063e-16
+12 0 0 0 0 36 48 16 -4.44089209850063e-16
+12 0 0 0 0 36 48 20 -4.44089209850063e-16
+12 0 0 0 0 36 48 24 -4.44089209850063e-16
+12 0 0 0 0 36 48 28 -4.44089209850063e-16
+12 0 0 0 0 36 48 32 -4.44089209850063e-16
+12 0 0 0 0 36 48 36 -4.44089209850063e-16
+12 0 0 0 0 36 48 40 -4.44089209850063e-16
+12 0 0 0 0 36 48 44 -4.44089209850063e-16
+12 0 0 0 0 36 48 48 -4.44089209850063e-16
+12 0 0 0 0 36 48 52 -4.44089209850063e-16
+12 0 0 0 0 36 48 56 -4.44089209850063e-16
+12 0 0 0 0 36 48 60 -4.44089209850063e-16
+12 0 0 0 0 36 48 64 -4.44089209850063e-16
+12 0 0 0 0 36 48 68 -4.44089209850063e-16
+12 0 0 0 0 36 48 72 -4.44089209850063e-16
+12 0 0 0 0 36 48 76 -4.44089209850063e-16
+12 0 0 0 0 36 48 80 -4.44089209850063e-16
+12 0 0 0 0 36 48 84 -4.44089209850063e-16
+12 0 0 0 0 36 48 88 -4.44089209850063e-16
+12 0 0 0 0 36 48 92 -4.44089209850063e-16
+12 0 0 0 0 36 48 96 -4.44089209850063e-16
+12 0 0 0 0 36 48 100 -4.44089209850063e-16
+12 0 0 0 0 36 48 104 -4.44089209850063e-16
+12 0 0 0 0 36 48 108 -4.44089209850063e-16
+12 0 0 0 0 36 48 112 -4.44089209850063e-16
+12 0 0 0 0 36 48 116 -4.44089209850063e-16
+12 0 0 0 0 36 48 120 -4.44089209850063e-16
+12 0 0 0 0 36 48 124 -4.44089209850063e-16
+12 0 0 0 0 36 48 128 -4.44089209850063e-16
+12 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 -4.44089209850063e-16
+13 0 2 0 0 36 48 52 -4.44089209850063e-16
+13 0 2 0 0 36 48 53 -4.44089209850063e-16
+13 0 2 0 0 36 48 54 -4.44089209850063e-16
+13 0 2 0 0 36 48 55 -4.44089209850063e-16
+13 0 2 0 0 36 48 56 -4.44089209850063e-16
+13 0 2 0 0 36 48 57 -4.44089209850063e-16
+13 0 2 0 0 36 48 58 -4.44089209850063e-16
+13 0 2 0 0 36 48 59 -4.44089209850063e-16
+13 0 2 0 0 36 48 60 -4.44089209850063e-16
+13 0 2 0 0 36 48 61 -4.44089209850063e-16
+13 0 2 0 0 36 48 62 -4.44089209850063e-16
+13 0 2 0 0 36 48 63 -4.44089209850063e-16
+13 0 2 0 0 36 48 64 -4.44089209850063e-16
+13 0 2 0 0 36 48 65 -4.44089209850063e-16
+13 0 2 0 0 36 48 66 -4.44089209850063e-16
+13 0 2 0 0 36 48 67 -4.44089209850063e-16
+13 0 2 0 0 36 48 68 -4.44089209850063e-16
+13 0 2 0 0 36 48 69 -4.44089209850063e-16
+13 0 2 0 0 36 48 70 -4.44089209850063e-16
+13 0 2 0 0 36 48 71 -4.44089209850063e-16
+13 0 2 0 0 36 48 72 -4.44089209850063e-16
+13 0 2 0 0 36 48 73 -4.44089209850063e-16
+13 0 2 0 0 36 48 74 -4.44089209850063e-16
+13 0 2 0 0 36 48 75 -4.44089209850063e-16
+13 0 2 0 0 36 48 76 -4.44089209850063e-16
+13 0 2 0 0 36 48 77 -4.44089209850063e-16
+13 0 2 0 0 36 48 78 -4.44089209850063e-16
+13 0 2 0 0 36 48 79 -4.44089209850063e-16
+13 0 2 0 0 36 48 80 -4.44089209850063e-16
+13 0 2 0 0 36 48 81 -4.44089209850063e-16
+13 0 2 0 0 36 48 82 -4.44089209850063e-16
+13 0 2 0 0 36 48 83 -4.44089209850063e-16
+13 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 -4.44089209850063e-16
+14 0 2 0 0 36 48 52 -4.44089209850063e-16
+14 0 2 0 0 36 48 53 -4.44089209850063e-16
+14 0 2 0 0 36 48 54 -4.44089209850063e-16
+14 0 2 0 0 36 48 55 -4.44089209850063e-16
+14 0 2 0 0 36 48 56 -4.44089209850063e-16
+14 0 2 0 0 36 48 57 -4.44089209850063e-16
+14 0 2 0 0 36 48 58 -4.44089209850063e-16
+14 0 2 0 0 36 48 59 -4.44089209850063e-16
+14 0 2 0 0 36 48 60 -4.44089209850063e-16
+14 0 2 0 0 36 48 61 -4.44089209850063e-16
+14 0 2 0 0 36 48 62 -4.44089209850063e-16
+14 0 2 0 0 36 48 63 -4.44089209850063e-16
+14 0 2 0 0 36 48 64 -4.44089209850063e-16
+14 0 2 0 0 36 48 65 -4.44089209850063e-16
+14 0 2 0 0 36 48 66 -4.44089209850063e-16
+14 0 2 0 0 36 48 67 -4.44089209850063e-16
+14 0 2 0 0 36 48 68 -4.44089209850063e-16
+14 0 2 0 0 36 48 69 -4.44089209850063e-16
+14 0 2 0 0 36 48 70 -4.44089209850063e-16
+14 0 2 0 0 36 48 71 -4.44089209850063e-16
+14 0 2 0 0 36 48 72 -4.44089209850063e-16
+14 0 2 0 0 36 48 73 -4.44089209850063e-16
+14 0 2 0 0 36 48 74 -4.44089209850063e-16
+14 0 2 0 0 36 48 75 -4.44089209850063e-16
+14 0 2 0 0 36 48 76 -4.44089209850063e-16
+14 0 2 0 0 36 48 77 -4.44089209850063e-16
+14 0 2 0 0 36 48 78 -4.44089209850063e-16
+14 0 2 0 0 36 48 79 -4.44089209850063e-16
+14 0 2 0 0 36 48 80 -4.44089209850063e-16
+14 0 2 0 0 36 48 81 -4.44089209850063e-16
+14 0 2 0 0 36 48 82 -4.44089209850063e-16
+14 0 2 0 0 36 48 83 -4.44089209850063e-16
+14 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 -4.44089209850063e-16
+14 0 1 0 0 36 48 36 -4.44089209850063e-16
+14 0 1 0 0 36 48 38 -4.44089209850063e-16
+14 0 1 0 0 36 48 40 -4.44089209850063e-16
+14 0 1 0 0 36 48 42 -4.44089209850063e-16
+14 0 1 0 0 36 48 44 -4.44089209850063e-16
+14 0 1 0 0 36 48 46 -4.44089209850063e-16
+14 0 1 0 0 36 48 48 -4.44089209850063e-16
+14 0 1 0 0 36 48 50 -4.44089209850063e-16
+14 0 1 0 0 36 48 52 -4.44089209850063e-16
+14 0 1 0 0 36 48 54 -4.44089209850063e-16
+14 0 1 0 0 36 48 56 -4.44089209850063e-16
+14 0 1 0 0 36 48 58 -4.44089209850063e-16
+14 0 1 0 0 36 48 60 -4.44089209850063e-16
+14 0 1 0 0 36 48 62 -4.44089209850063e-16
+14 0 1 0 0 36 48 64 -4.44089209850063e-16
+14 0 1 0 0 36 48 66 -4.44089209850063e-16
+14 0 1 0 0 36 48 68 -4.44089209850063e-16
+14 0 1 0 0 36 48 70 -4.44089209850063e-16
+14 0 1 0 0 36 48 72 -4.44089209850063e-16
+14 0 1 0 0 36 48 74 -4.44089209850063e-16
+14 0 1 0 0 36 48 76 -4.44089209850063e-16
+14 0 1 0 0 36 48 78 -4.44089209850063e-16
+14 0 1 0 0 36 48 80 -4.44089209850063e-16
+14 0 1 0 0 36 48 82 -4.44089209850063e-16
+14 0 1 0 0 36 48 84 -4.44089209850063e-16
+14 0 1 0 0 36 48 86 -4.44089209850063e-16
+14 0 1 0 0 36 48 88 -4.44089209850063e-16
+14 0 1 0 0 36 48 90 -4.44089209850063e-16
+14 0 1 0 0 36 48 92 -4.44089209850063e-16
+14 0 1 0 0 36 48 94 -4.44089209850063e-16
+14 0 1 0 0 36 48 96 -4.44089209850063e-16
+14 0 1 0 0 36 48 98 -4.44089209850063e-16
+14 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 -4.44089209850063e-16
+15 0 2 0 0 36 48 52 -4.44089209850063e-16
+15 0 2 0 0 36 48 53 -4.44089209850063e-16
+15 0 2 0 0 36 48 54 -4.44089209850063e-16
+15 0 2 0 0 36 48 55 -4.44089209850063e-16
+15 0 2 0 0 36 48 56 -4.44089209850063e-16
+15 0 2 0 0 36 48 57 -4.44089209850063e-16
+15 0 2 0 0 36 48 58 -4.44089209850063e-16
+15 0 2 0 0 36 48 59 -4.44089209850063e-16
+15 0 2 0 0 36 48 60 -4.44089209850063e-16
+15 0 2 0 0 36 48 61 -4.44089209850063e-16
+15 0 2 0 0 36 48 62 -4.44089209850063e-16
+15 0 2 0 0 36 48 63 -4.44089209850063e-16
+15 0 2 0 0 36 48 64 -4.44089209850063e-16
+15 0 2 0 0 36 48 65 -4.44089209850063e-16
+15 0 2 0 0 36 48 66 -4.44089209850063e-16
+15 0 2 0 0 36 48 67 -4.44089209850063e-16
+15 0 2 0 0 36 48 68 -4.44089209850063e-16
+15 0 2 0 0 36 48 69 -4.44089209850063e-16
+15 0 2 0 0 36 48 70 -4.44089209850063e-16
+15 0 2 0 0 36 48 71 -4.44089209850063e-16
+15 0 2 0 0 36 48 72 -4.44089209850063e-16
+15 0 2 0 0 36 48 73 -4.44089209850063e-16
+15 0 2 0 0 36 48 74 -4.44089209850063e-16
+15 0 2 0 0 36 48 75 -4.44089209850063e-16
+15 0 2 0 0 36 48 76 -4.44089209850063e-16
+15 0 2 0 0 36 48 77 -4.44089209850063e-16
+15 0 2 0 0 36 48 78 -4.44089209850063e-16
+15 0 2 0 0 36 48 79 -4.44089209850063e-16
+15 0 2 0 0 36 48 80 -4.44089209850063e-16
+15 0 2 0 0 36 48 81 -4.44089209850063e-16
+15 0 2 0 0 36 48 82 -4.44089209850063e-16
+15 0 2 0 0 36 48 83 -4.44089209850063e-16
+15 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 -4.44089209850063e-16
+16 0 2 0 0 36 48 52 -4.44089209850063e-16
+16 0 2 0 0 36 48 53 -4.44089209850063e-16
+16 0 2 0 0 36 48 54 -4.44089209850063e-16
+16 0 2 0 0 36 48 55 -4.44089209850063e-16
+16 0 2 0 0 36 48 56 -4.44089209850063e-16
+16 0 2 0 0 36 48 57 -4.44089209850063e-16
+16 0 2 0 0 36 48 58 -4.44089209850063e-16
+16 0 2 0 0 36 48 59 -4.44089209850063e-16
+16 0 2 0 0 36 48 60 -4.44089209850063e-16
+16 0 2 0 0 36 48 61 -4.44089209850063e-16
+16 0 2 0 0 36 48 62 -4.44089209850063e-16
+16 0 2 0 0 36 48 63 -4.44089209850063e-16
+16 0 2 0 0 36 48 64 -4.44089209850063e-16
+16 0 2 0 0 36 48 65 -4.44089209850063e-16
+16 0 2 0 0 36 48 66 -4.44089209850063e-16
+16 0 2 0 0 36 48 67 -4.44089209850063e-16
+16 0 2 0 0 36 48 68 -4.44089209850063e-16
+16 0 2 0 0 36 48 69 -4.44089209850063e-16
+16 0 2 0 0 36 48 70 -4.44089209850063e-16
+16 0 2 0 0 36 48 71 -4.44089209850063e-16
+16 0 2 0 0 36 48 72 -4.44089209850063e-16
+16 0 2 0 0 36 48 73 -4.44089209850063e-16
+16 0 2 0 0 36 48 74 -4.44089209850063e-16
+16 0 2 0 0 36 48 75 -4.44089209850063e-16
+16 0 2 0 0 36 48 76 -4.44089209850063e-16
+16 0 2 0 0 36 48 77 -4.44089209850063e-16
+16 0 2 0 0 36 48 78 -4.44089209850063e-16
+16 0 2 0 0 36 48 79 -4.44089209850063e-16
+16 0 2 0 0 36 48 80 -4.44089209850063e-16
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+16 0 2 0 0 36 48 83 -4.44089209850063e-16
+16 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 -4.44089209850063e-16
+16 0 1 0 0 36 48 36 -4.44089209850063e-16
+16 0 1 0 0 36 48 38 -4.44089209850063e-16
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+16 0 1 0 0 36 48 98 -4.44089209850063e-16
+16 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 -4.44089209850063e-16
+16 0 0 0 0 36 48 4 -4.44089209850063e-16
+16 0 0 0 0 36 48 8 -4.44089209850063e-16
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+16 0 0 0 0 36 48 128 -4.44089209850063e-16
+16 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 -4.44089209850063e-16
+17 0 2 0 0 36 48 52 -4.44089209850063e-16
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+17 0 2 0 0 36 48 83 -4.44089209850063e-16
+17 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 -4.44089209850063e-16
+18 0 2 0 0 36 48 52 -4.44089209850063e-16
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+18 0 2 0 0 36 48 83 -4.44089209850063e-16
+18 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 -4.44089209850063e-16
+18 0 1 0 0 36 48 36 -4.44089209850063e-16
+18 0 1 0 0 36 48 38 -4.44089209850063e-16
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+18 0 1 0 0 36 48 98 -4.44089209850063e-16
+18 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 -4.44089209850063e-16
+19 0 2 0 0 36 48 52 -4.44089209850063e-16
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+19 0 2 0 0 36 48 83 -4.44089209850063e-16
+19 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 -4.44089209850063e-16
+20 0 2 0 0 36 48 52 -4.44089209850063e-16
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+20 0 2 0 0 36 48 83 -4.44089209850063e-16
+20 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 -4.44089209850063e-16
+20 0 1 0 0 36 48 36 -4.44089209850063e-16
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+20 0 1 0 0 36 48 98 -4.44089209850063e-16
+20 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 -4.44089209850063e-16
+20 0 0 0 0 36 48 4 -4.44089209850063e-16
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+20 0 0 0 0 36 48 128 -4.44089209850063e-16
+20 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 -4.44089209850063e-16
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+21 0 2 0 0 36 48 72 -4.44089209850063e-16
+21 0 2 0 0 36 48 73 -4.44089209850063e-16
+21 0 2 0 0 36 48 74 -4.44089209850063e-16
+21 0 2 0 0 36 48 75 -4.44089209850063e-16
+21 0 2 0 0 36 48 76 -4.44089209850063e-16
+21 0 2 0 0 36 48 77 -4.44089209850063e-16
+21 0 2 0 0 36 48 78 -4.44089209850063e-16
+21 0 2 0 0 36 48 79 -4.44089209850063e-16
+21 0 2 0 0 36 48 80 -4.44089209850063e-16
+21 0 2 0 0 36 48 81 -4.44089209850063e-16
+21 0 2 0 0 36 48 82 -4.44089209850063e-16
+21 0 2 0 0 36 48 83 -4.44089209850063e-16
+21 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 -4.44089209850063e-16
+22 0 2 0 0 36 48 52 -4.44089209850063e-16
+22 0 2 0 0 36 48 53 -4.44089209850063e-16
+22 0 2 0 0 36 48 54 -4.44089209850063e-16
+22 0 2 0 0 36 48 55 -4.44089209850063e-16
+22 0 2 0 0 36 48 56 -4.44089209850063e-16
+22 0 2 0 0 36 48 57 -4.44089209850063e-16
+22 0 2 0 0 36 48 58 -4.44089209850063e-16
+22 0 2 0 0 36 48 59 -4.44089209850063e-16
+22 0 2 0 0 36 48 60 -4.44089209850063e-16
+22 0 2 0 0 36 48 61 -4.44089209850063e-16
+22 0 2 0 0 36 48 62 -4.44089209850063e-16
+22 0 2 0 0 36 48 63 -4.44089209850063e-16
+22 0 2 0 0 36 48 64 -4.44089209850063e-16
+22 0 2 0 0 36 48 65 -4.44089209850063e-16
+22 0 2 0 0 36 48 66 -4.44089209850063e-16
+22 0 2 0 0 36 48 67 -4.44089209850063e-16
+22 0 2 0 0 36 48 68 -4.44089209850063e-16
+22 0 2 0 0 36 48 69 -4.44089209850063e-16
+22 0 2 0 0 36 48 70 -4.44089209850063e-16
+22 0 2 0 0 36 48 71 -4.44089209850063e-16
+22 0 2 0 0 36 48 72 -4.44089209850063e-16
+22 0 2 0 0 36 48 73 -4.44089209850063e-16
+22 0 2 0 0 36 48 74 -4.44089209850063e-16
+22 0 2 0 0 36 48 75 -4.44089209850063e-16
+22 0 2 0 0 36 48 76 -4.44089209850063e-16
+22 0 2 0 0 36 48 77 -4.44089209850063e-16
+22 0 2 0 0 36 48 78 -4.44089209850063e-16
+22 0 2 0 0 36 48 79 -4.44089209850063e-16
+22 0 2 0 0 36 48 80 -4.44089209850063e-16
+22 0 2 0 0 36 48 81 -4.44089209850063e-16
+22 0 2 0 0 36 48 82 -4.44089209850063e-16
+22 0 2 0 0 36 48 83 -4.44089209850063e-16
+22 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 -4.44089209850063e-16
+22 0 1 0 0 36 48 36 -4.44089209850063e-16
+22 0 1 0 0 36 48 38 -4.44089209850063e-16
+22 0 1 0 0 36 48 40 -4.44089209850063e-16
+22 0 1 0 0 36 48 42 -4.44089209850063e-16
+22 0 1 0 0 36 48 44 -4.44089209850063e-16
+22 0 1 0 0 36 48 46 -4.44089209850063e-16
+22 0 1 0 0 36 48 48 -4.44089209850063e-16
+22 0 1 0 0 36 48 50 -4.44089209850063e-16
+22 0 1 0 0 36 48 52 -4.44089209850063e-16
+22 0 1 0 0 36 48 54 -4.44089209850063e-16
+22 0 1 0 0 36 48 56 -4.44089209850063e-16
+22 0 1 0 0 36 48 58 -4.44089209850063e-16
+22 0 1 0 0 36 48 60 -4.44089209850063e-16
+22 0 1 0 0 36 48 62 -4.44089209850063e-16
+22 0 1 0 0 36 48 64 -4.44089209850063e-16
+22 0 1 0 0 36 48 66 -4.44089209850063e-16
+22 0 1 0 0 36 48 68 -4.44089209850063e-16
+22 0 1 0 0 36 48 70 -4.44089209850063e-16
+22 0 1 0 0 36 48 72 -4.44089209850063e-16
+22 0 1 0 0 36 48 74 -4.44089209850063e-16
+22 0 1 0 0 36 48 76 -4.44089209850063e-16
+22 0 1 0 0 36 48 78 -4.44089209850063e-16
+22 0 1 0 0 36 48 80 -4.44089209850063e-16
+22 0 1 0 0 36 48 82 -4.44089209850063e-16
+22 0 1 0 0 36 48 84 -4.44089209850063e-16
+22 0 1 0 0 36 48 86 -4.44089209850063e-16
+22 0 1 0 0 36 48 88 -4.44089209850063e-16
+22 0 1 0 0 36 48 90 -4.44089209850063e-16
+22 0 1 0 0 36 48 92 -4.44089209850063e-16
+22 0 1 0 0 36 48 94 -4.44089209850063e-16
+22 0 1 0 0 36 48 96 -4.44089209850063e-16
+22 0 1 0 0 36 48 98 -4.44089209850063e-16
+22 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 -4.44089209850063e-16
+23 0 2 0 0 36 48 52 -4.44089209850063e-16
+23 0 2 0 0 36 48 53 -4.44089209850063e-16
+23 0 2 0 0 36 48 54 -4.44089209850063e-16
+23 0 2 0 0 36 48 55 -4.44089209850063e-16
+23 0 2 0 0 36 48 56 -4.44089209850063e-16
+23 0 2 0 0 36 48 57 -4.44089209850063e-16
+23 0 2 0 0 36 48 58 -4.44089209850063e-16
+23 0 2 0 0 36 48 59 -4.44089209850063e-16
+23 0 2 0 0 36 48 60 -4.44089209850063e-16
+23 0 2 0 0 36 48 61 -4.44089209850063e-16
+23 0 2 0 0 36 48 62 -4.44089209850063e-16
+23 0 2 0 0 36 48 63 -4.44089209850063e-16
+23 0 2 0 0 36 48 64 -4.44089209850063e-16
+23 0 2 0 0 36 48 65 -4.44089209850063e-16
+23 0 2 0 0 36 48 66 -4.44089209850063e-16
+23 0 2 0 0 36 48 67 -4.44089209850063e-16
+23 0 2 0 0 36 48 68 -4.44089209850063e-16
+23 0 2 0 0 36 48 69 -4.44089209850063e-16
+23 0 2 0 0 36 48 70 -4.44089209850063e-16
+23 0 2 0 0 36 48 71 -4.44089209850063e-16
+23 0 2 0 0 36 48 72 -4.44089209850063e-16
+23 0 2 0 0 36 48 73 -4.44089209850063e-16
+23 0 2 0 0 36 48 74 -4.44089209850063e-16
+23 0 2 0 0 36 48 75 -4.44089209850063e-16
+23 0 2 0 0 36 48 76 -4.44089209850063e-16
+23 0 2 0 0 36 48 77 -4.44089209850063e-16
+23 0 2 0 0 36 48 78 -4.44089209850063e-16
+23 0 2 0 0 36 48 79 -4.44089209850063e-16
+23 0 2 0 0 36 48 80 -4.44089209850063e-16
+23 0 2 0 0 36 48 81 -4.44089209850063e-16
+23 0 2 0 0 36 48 82 -4.44089209850063e-16
+23 0 2 0 0 36 48 83 -4.44089209850063e-16
+23 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 -4.44089209850063e-16
+24 0 2 0 0 36 48 52 -4.44089209850063e-16
+24 0 2 0 0 36 48 53 -4.44089209850063e-16
+24 0 2 0 0 36 48 54 -4.44089209850063e-16
+24 0 2 0 0 36 48 55 -4.44089209850063e-16
+24 0 2 0 0 36 48 56 -4.44089209850063e-16
+24 0 2 0 0 36 48 57 -4.44089209850063e-16
+24 0 2 0 0 36 48 58 -4.44089209850063e-16
+24 0 2 0 0 36 48 59 -4.44089209850063e-16
+24 0 2 0 0 36 48 60 -4.44089209850063e-16
+24 0 2 0 0 36 48 61 -4.44089209850063e-16
+24 0 2 0 0 36 48 62 -4.44089209850063e-16
+24 0 2 0 0 36 48 63 -4.44089209850063e-16
+24 0 2 0 0 36 48 64 -4.44089209850063e-16
+24 0 2 0 0 36 48 65 -4.44089209850063e-16
+24 0 2 0 0 36 48 66 -4.44089209850063e-16
+24 0 2 0 0 36 48 67 -4.44089209850063e-16
+24 0 2 0 0 36 48 68 -4.44089209850063e-16
+24 0 2 0 0 36 48 69 -4.44089209850063e-16
+24 0 2 0 0 36 48 70 -4.44089209850063e-16
+24 0 2 0 0 36 48 71 -4.44089209850063e-16
+24 0 2 0 0 36 48 72 -4.44089209850063e-16
+24 0 2 0 0 36 48 73 -4.44089209850063e-16
+24 0 2 0 0 36 48 74 -4.44089209850063e-16
+24 0 2 0 0 36 48 75 -4.44089209850063e-16
+24 0 2 0 0 36 48 76 -4.44089209850063e-16
+24 0 2 0 0 36 48 77 -4.44089209850063e-16
+24 0 2 0 0 36 48 78 -4.44089209850063e-16
+24 0 2 0 0 36 48 79 -4.44089209850063e-16
+24 0 2 0 0 36 48 80 -4.44089209850063e-16
+24 0 2 0 0 36 48 81 -4.44089209850063e-16
+24 0 2 0 0 36 48 82 -4.44089209850063e-16
+24 0 2 0 0 36 48 83 -4.44089209850063e-16
+24 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 -4.44089209850063e-16
+24 0 1 0 0 36 48 36 -4.44089209850063e-16
+24 0 1 0 0 36 48 38 -4.44089209850063e-16
+24 0 1 0 0 36 48 40 -4.44089209850063e-16
+24 0 1 0 0 36 48 42 -4.44089209850063e-16
+24 0 1 0 0 36 48 44 -4.44089209850063e-16
+24 0 1 0 0 36 48 46 -4.44089209850063e-16
+24 0 1 0 0 36 48 48 -4.44089209850063e-16
+24 0 1 0 0 36 48 50 -4.44089209850063e-16
+24 0 1 0 0 36 48 52 -4.44089209850063e-16
+24 0 1 0 0 36 48 54 -4.44089209850063e-16
+24 0 1 0 0 36 48 56 -4.44089209850063e-16
+24 0 1 0 0 36 48 58 -4.44089209850063e-16
+24 0 1 0 0 36 48 60 -4.44089209850063e-16
+24 0 1 0 0 36 48 62 -4.44089209850063e-16
+24 0 1 0 0 36 48 64 -4.44089209850063e-16
+24 0 1 0 0 36 48 66 -4.44089209850063e-16
+24 0 1 0 0 36 48 68 -4.44089209850063e-16
+24 0 1 0 0 36 48 70 -4.44089209850063e-16
+24 0 1 0 0 36 48 72 -4.44089209850063e-16
+24 0 1 0 0 36 48 74 -4.44089209850063e-16
+24 0 1 0 0 36 48 76 -4.44089209850063e-16
+24 0 1 0 0 36 48 78 -4.44089209850063e-16
+24 0 1 0 0 36 48 80 -4.44089209850063e-16
+24 0 1 0 0 36 48 82 -4.44089209850063e-16
+24 0 1 0 0 36 48 84 -4.44089209850063e-16
+24 0 1 0 0 36 48 86 -4.44089209850063e-16
+24 0 1 0 0 36 48 88 -4.44089209850063e-16
+24 0 1 0 0 36 48 90 -4.44089209850063e-16
+24 0 1 0 0 36 48 92 -4.44089209850063e-16
+24 0 1 0 0 36 48 94 -4.44089209850063e-16
+24 0 1 0 0 36 48 96 -4.44089209850063e-16
+24 0 1 0 0 36 48 98 -4.44089209850063e-16
+24 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 -4.44089209850063e-16
+24 0 0 0 0 36 48 4 -4.44089209850063e-16
+24 0 0 0 0 36 48 8 -4.44089209850063e-16
+24 0 0 0 0 36 48 12 -4.44089209850063e-16
+24 0 0 0 0 36 48 16 -4.44089209850063e-16
+24 0 0 0 0 36 48 20 -4.44089209850063e-16
+24 0 0 0 0 36 48 24 -4.44089209850063e-16
+24 0 0 0 0 36 48 28 -4.44089209850063e-16
+24 0 0 0 0 36 48 32 -4.44089209850063e-16
+24 0 0 0 0 36 48 36 -4.44089209850063e-16
+24 0 0 0 0 36 48 40 -4.44089209850063e-16
+24 0 0 0 0 36 48 44 -4.44089209850063e-16
+24 0 0 0 0 36 48 48 -4.44089209850063e-16
+24 0 0 0 0 36 48 52 -4.44089209850063e-16
+24 0 0 0 0 36 48 56 -4.44089209850063e-16
+24 0 0 0 0 36 48 60 -4.44089209850063e-16
+24 0 0 0 0 36 48 64 -4.44089209850063e-16
+24 0 0 0 0 36 48 68 -4.44089209850063e-16
+24 0 0 0 0 36 48 72 -4.44089209850063e-16
+24 0 0 0 0 36 48 76 -4.44089209850063e-16
+24 0 0 0 0 36 48 80 -4.44089209850063e-16
+24 0 0 0 0 36 48 84 -4.44089209850063e-16
+24 0 0 0 0 36 48 88 -4.44089209850063e-16
+24 0 0 0 0 36 48 92 -4.44089209850063e-16
+24 0 0 0 0 36 48 96 -4.44089209850063e-16
+24 0 0 0 0 36 48 100 -4.44089209850063e-16
+24 0 0 0 0 36 48 104 -4.44089209850063e-16
+24 0 0 0 0 36 48 108 -4.44089209850063e-16
+24 0 0 0 0 36 48 112 -4.44089209850063e-16
+24 0 0 0 0 36 48 116 -4.44089209850063e-16
+24 0 0 0 0 36 48 120 -4.44089209850063e-16
+24 0 0 0 0 36 48 124 -4.44089209850063e-16
+24 0 0 0 0 36 48 128 -4.44089209850063e-16
+24 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_z.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_z.xl
new file mode 100644
index 000000000..53b7b5e1e
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_z.xl
@@ -0,0 +1,1082 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0
+0 0 2 0 0 28 48 64 0
+0 0 2 0 0 29 48 64 0
+0 0 2 0 0 30 48 64 0
+0 0 2 0 0 31 48 64 0
+0 0 2 0 0 32 48 64 0
+0 0 2 0 0 33 48 64 0
+0 0 2 0 0 34 48 64 0
+0 0 2 0 0 35 48 64 0
+0 0 2 0 0 36 48 64 0
+0 0 2 0 0 37 48 64 0
+0 0 2 0 0 38 48 64 0
+0 0 2 0 0 39 48 64 0
+0 0 2 0 0 40 48 64 0
+0 0 2 0 0 41 48 64 0
+0 0 2 0 0 42 48 64 0
+0 0 2 0 0 43 48 64 0
+0 0 2 0 0 44 48 64 0
+0 0 2 0 0 45 48 64 0
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 0
+0 0 1 0 0 20 48 64 0
+0 0 1 0 0 22 48 64 0
+0 0 1 0 0 24 48 64 0
+0 0 1 0 0 26 48 64 0
+0 0 1 0 0 28 48 64 0
+0 0 1 0 0 30 48 64 0
+0 0 1 0 0 32 48 64 0
+0 0 1 0 0 34 48 64 0
+0 0 1 0 0 36 48 64 0
+0 0 1 0 0 38 48 64 0
+0 0 1 0 0 40 48 64 0
+0 0 1 0 0 42 48 64 0
+0 0 1 0 0 44 48 64 0
+0 0 1 0 0 46 48 64 0
+0 0 1 0 0 48 48 64 0
+0 0 1 0 0 50 48 64 0
+0 0 1 0 0 52 48 64 0
+0 0 1 0 0 54 48 64 0
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 0
+0 0 0 0 0 4 48 64 0
+0 0 0 0 0 8 48 64 0
+0 0 0 0 0 12 48 64 0
+0 0 0 0 0 16 48 64 0
+0 0 0 0 0 20 48 64 0
+0 0 0 0 0 24 48 64 0
+0 0 0 0 0 28 48 64 0
+0 0 0 0 0 32 48 64 0
+0 0 0 0 0 36 48 64 0
+0 0 0 0 0 40 48 64 0
+0 0 0 0 0 44 48 64 0
+0 0 0 0 0 48 48 64 0
+0 0 0 0 0 52 48 64 0
+0 0 0 0 0 56 48 64 0
+0 0 0 0 0 60 48 64 0
+0 0 0 0 0 64 48 64 0
+0 0 0 0 0 68 48 64 0
+0 0 0 0 0 72 48 64 0
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0
+1 0 2 0 0 28 48 64 0
+1 0 2 0 0 29 48 64 0
+1 0 2 0 0 30 48 64 0
+1 0 2 0 0 31 48 64 0
+1 0 2 0 0 32 48 64 0
+1 0 2 0 0 33 48 64 0
+1 0 2 0 0 34 48 64 0
+1 0 2 0 0 35 48 64 0
+1 0 2 0 0 36 48 64 0
+1 0 2 0 0 37 48 64 0
+1 0 2 0 0 38 48 64 0
+1 0 2 0 0 39 48 64 0
+1 0 2 0 0 40 48 64 0
+1 0 2 0 0 41 48 64 0
+1 0 2 0 0 42 48 64 0
+1 0 2 0 0 43 48 64 0
+1 0 2 0 0 44 48 64 0
+1 0 2 0 0 45 48 64 0
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0
+2 0 2 0 0 28 48 64 0
+2 0 2 0 0 29 48 64 0
+2 0 2 0 0 30 48 64 0
+2 0 2 0 0 31 48 64 0
+2 0 2 0 0 32 48 64 0
+2 0 2 0 0 33 48 64 0
+2 0 2 0 0 34 48 64 0
+2 0 2 0 0 35 48 64 0
+2 0 2 0 0 36 48 64 0
+2 0 2 0 0 37 48 64 0
+2 0 2 0 0 38 48 64 0
+2 0 2 0 0 39 48 64 0
+2 0 2 0 0 40 48 64 0
+2 0 2 0 0 41 48 64 0
+2 0 2 0 0 42 48 64 0
+2 0 2 0 0 43 48 64 0
+2 0 2 0 0 44 48 64 0
+2 0 2 0 0 45 48 64 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 0
+2 0 1 0 0 20 48 64 0
+2 0 1 0 0 22 48 64 0
+2 0 1 0 0 24 48 64 0
+2 0 1 0 0 26 48 64 0
+2 0 1 0 0 28 48 64 0
+2 0 1 0 0 30 48 64 0
+2 0 1 0 0 32 48 64 0
+2 0 1 0 0 34 48 64 0
+2 0 1 0 0 36 48 64 0
+2 0 1 0 0 38 48 64 0
+2 0 1 0 0 40 48 64 0
+2 0 1 0 0 42 48 64 0
+2 0 1 0 0 44 48 64 0
+2 0 1 0 0 46 48 64 0
+2 0 1 0 0 48 48 64 0
+2 0 1 0 0 50 48 64 0
+2 0 1 0 0 52 48 64 0
+2 0 1 0 0 54 48 64 0
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0
+3 0 2 0 0 28 48 64 0
+3 0 2 0 0 29 48 64 0
+3 0 2 0 0 30 48 64 0
+3 0 2 0 0 31 48 64 0
+3 0 2 0 0 32 48 64 0
+3 0 2 0 0 33 48 64 0
+3 0 2 0 0 34 48 64 0
+3 0 2 0 0 35 48 64 0
+3 0 2 0 0 36 48 64 0
+3 0 2 0 0 37 48 64 0
+3 0 2 0 0 38 48 64 0
+3 0 2 0 0 39 48 64 0
+3 0 2 0 0 40 48 64 0
+3 0 2 0 0 41 48 64 0
+3 0 2 0 0 42 48 64 0
+3 0 2 0 0 43 48 64 0
+3 0 2 0 0 44 48 64 0
+3 0 2 0 0 45 48 64 0
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0
+4 0 2 0 0 28 48 64 0
+4 0 2 0 0 29 48 64 0
+4 0 2 0 0 30 48 64 0
+4 0 2 0 0 31 48 64 0
+4 0 2 0 0 32 48 64 0
+4 0 2 0 0 33 48 64 0
+4 0 2 0 0 34 48 64 0
+4 0 2 0 0 35 48 64 0
+4 0 2 0 0 36 48 64 0
+4 0 2 0 0 37 48 64 0
+4 0 2 0 0 38 48 64 0
+4 0 2 0 0 39 48 64 0
+4 0 2 0 0 40 48 64 0
+4 0 2 0 0 41 48 64 0
+4 0 2 0 0 42 48 64 0
+4 0 2 0 0 43 48 64 0
+4 0 2 0 0 44 48 64 0
+4 0 2 0 0 45 48 64 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 0
+4 0 1 0 0 20 48 64 0
+4 0 1 0 0 22 48 64 0
+4 0 1 0 0 24 48 64 0
+4 0 1 0 0 26 48 64 0
+4 0 1 0 0 28 48 64 0
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+4 0 1 0 0 32 48 64 0
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+4 0 1 0 0 40 48 64 0
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+4 0 1 0 0 46 48 64 0
+4 0 1 0 0 48 48 64 0
+4 0 1 0 0 50 48 64 0
+4 0 1 0 0 52 48 64 0
+4 0 1 0 0 54 48 64 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 0
+4 0 0 0 0 4 48 64 0
+4 0 0 0 0 8 48 64 0
+4 0 0 0 0 12 48 64 0
+4 0 0 0 0 16 48 64 0
+4 0 0 0 0 20 48 64 0
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+4 0 0 0 0 64 48 64 0
+4 0 0 0 0 68 48 64 0
+4 0 0 0 0 72 48 64 0
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0
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+5 0 2 0 0 45 48 64 0
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0
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+6 0 2 0 0 45 48 64 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0
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+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0
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+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0
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+8 0 2 0 0 45 48 64 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0
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+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 0
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+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0
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+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0
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+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0
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+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 0
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+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 0
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+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0
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+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 0
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+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 0
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+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 0
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+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0
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+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 0
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+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 0
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+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0
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+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 0
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+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 0
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+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 0
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+18 0 2 0 0 45 48 64 0
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0
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+18 0 1 0 0 54 48 64 0
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 0
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+19 0 2 0 0 45 48 64 0
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 0
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+20 0 2 0 0 45 48 64 0
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0
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+20 0 1 0 0 54 48 64 0
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 0
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+20 0 0 0 0 72 48 64 0
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 0
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+21 0 2 0 0 45 48 64 0
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 0
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+22 0 2 0 0 38 48 64 0
+22 0 2 0 0 39 48 64 0
+22 0 2 0 0 40 48 64 0
+22 0 2 0 0 41 48 64 0
+22 0 2 0 0 42 48 64 0
+22 0 2 0 0 43 48 64 0
+22 0 2 0 0 44 48 64 0
+22 0 2 0 0 45 48 64 0
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 0
+22 0 1 0 0 20 48 64 0
+22 0 1 0 0 22 48 64 0
+22 0 1 0 0 24 48 64 0
+22 0 1 0 0 26 48 64 0
+22 0 1 0 0 28 48 64 0
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+22 0 1 0 0 46 48 64 0
+22 0 1 0 0 48 48 64 0
+22 0 1 0 0 50 48 64 0
+22 0 1 0 0 52 48 64 0
+22 0 1 0 0 54 48 64 0
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 0
+23 0 2 0 0 28 48 64 0
+23 0 2 0 0 29 48 64 0
+23 0 2 0 0 30 48 64 0
+23 0 2 0 0 31 48 64 0
+23 0 2 0 0 32 48 64 0
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+23 0 2 0 0 42 48 64 0
+23 0 2 0 0 43 48 64 0
+23 0 2 0 0 44 48 64 0
+23 0 2 0 0 45 48 64 0
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 0
+24 0 2 0 0 28 48 64 0
+24 0 2 0 0 29 48 64 0
+24 0 2 0 0 30 48 64 0
+24 0 2 0 0 31 48 64 0
+24 0 2 0 0 32 48 64 0
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+24 0 2 0 0 42 48 64 0
+24 0 2 0 0 43 48 64 0
+24 0 2 0 0 44 48 64 0
+24 0 2 0 0 45 48 64 0
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 0
+24 0 1 0 0 20 48 64 0
+24 0 1 0 0 22 48 64 0
+24 0 1 0 0 24 48 64 0
+24 0 1 0 0 26 48 64 0
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+24 0 1 0 0 48 48 64 0
+24 0 1 0 0 50 48 64 0
+24 0 1 0 0 52 48 64 0
+24 0 1 0 0 54 48 64 0
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 0
+24 0 0 0 0 4 48 64 0
+24 0 0 0 0 8 48 64 0
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+24 0 0 0 0 64 48 64 0
+24 0 0 0 0 68 48 64 0
+24 0 0 0 0 72 48 64 0
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_z.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_z.yl
new file mode 100644
index 000000000..436f68412
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_z.yl
@@ -0,0 +1,1397 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0
+0 0 2 0 0 36 40 64 0
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+0 0 2 0 0 36 61 64 0
+0 0 2 0 0 36 62 64 0
+0 0 2 0 0 36 63 64 0
+0 0 2 0 0 36 64 64 0
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 0
+0 0 1 0 0 36 28 64 0
+0 0 1 0 0 36 30 64 0
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+0 0 1 0 0 36 72 64 0
+0 0 1 0 0 36 74 64 0
+0 0 1 0 0 36 76 64 0
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 0
+0 0 0 0 0 36 4 64 0
+0 0 0 0 0 36 8 64 0
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+0 0 0 0 0 36 96 64 0
+0 0 0 0 0 36 100 64 0
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 0
+1 0 2 0 0 36 40 64 0
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+1 0 2 0 0 36 61 64 0
+1 0 2 0 0 36 62 64 0
+1 0 2 0 0 36 63 64 0
+1 0 2 0 0 36 64 64 0
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 0
+2 0 2 0 0 36 40 64 0
+2 0 2 0 0 36 41 64 0
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+2 0 2 0 0 36 61 64 0
+2 0 2 0 0 36 62 64 0
+2 0 2 0 0 36 63 64 0
+2 0 2 0 0 36 64 64 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 0
+2 0 1 0 0 36 28 64 0
+2 0 1 0 0 36 30 64 0
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+2 0 1 0 0 36 74 64 0
+2 0 1 0 0 36 76 64 0
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0
+3 0 2 0 0 36 40 64 0
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+3 0 2 0 0 36 61 64 0
+3 0 2 0 0 36 62 64 0
+3 0 2 0 0 36 63 64 0
+3 0 2 0 0 36 64 64 0
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0
+4 0 2 0 0 36 40 64 0
+4 0 2 0 0 36 41 64 0
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+4 0 2 0 0 36 61 64 0
+4 0 2 0 0 36 62 64 0
+4 0 2 0 0 36 63 64 0
+4 0 2 0 0 36 64 64 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0
+4 0 1 0 0 36 28 64 0
+4 0 1 0 0 36 30 64 0
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+4 0 1 0 0 36 72 64 0
+4 0 1 0 0 36 74 64 0
+4 0 1 0 0 36 76 64 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 0
+4 0 0 0 0 36 4 64 0
+4 0 0 0 0 36 8 64 0
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+4 0 0 0 0 36 92 64 0
+4 0 0 0 0 36 96 64 0
+4 0 0 0 0 36 100 64 0
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0
+5 0 2 0 0 36 40 64 0
+5 0 2 0 0 36 41 64 0
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+5 0 2 0 0 36 63 64 0
+5 0 2 0 0 36 64 64 0
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0
+6 0 2 0 0 36 40 64 0
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+6 0 2 0 0 36 62 64 0
+6 0 2 0 0 36 63 64 0
+6 0 2 0 0 36 64 64 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0
+6 0 1 0 0 36 28 64 0
+6 0 1 0 0 36 30 64 0
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+6 0 1 0 0 36 74 64 0
+6 0 1 0 0 36 76 64 0
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 0
+7 0 2 0 0 36 40 64 0
+7 0 2 0 0 36 41 64 0
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+7 0 2 0 0 36 62 64 0
+7 0 2 0 0 36 63 64 0
+7 0 2 0 0 36 64 64 0
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 0
+8 0 2 0 0 36 40 64 0
+8 0 2 0 0 36 41 64 0
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+8 0 2 0 0 36 61 64 0
+8 0 2 0 0 36 62 64 0
+8 0 2 0 0 36 63 64 0
+8 0 2 0 0 36 64 64 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0
+8 0 1 0 0 36 28 64 0
+8 0 1 0 0 36 30 64 0
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+8 0 1 0 0 36 70 64 0
+8 0 1 0 0 36 72 64 0
+8 0 1 0 0 36 74 64 0
+8 0 1 0 0 36 76 64 0
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 0
+8 0 0 0 0 36 4 64 0
+8 0 0 0 0 36 8 64 0
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+8 0 0 0 0 36 88 64 0
+8 0 0 0 0 36 92 64 0
+8 0 0 0 0 36 96 64 0
+8 0 0 0 0 36 100 64 0
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 0
+9 0 2 0 0 36 40 64 0
+9 0 2 0 0 36 41 64 0
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+9 0 2 0 0 36 61 64 0
+9 0 2 0 0 36 62 64 0
+9 0 2 0 0 36 63 64 0
+9 0 2 0 0 36 64 64 0
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 0
+10 0 2 0 0 36 40 64 0
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+10 0 2 0 0 36 63 64 0
+10 0 2 0 0 36 64 64 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0
+10 0 1 0 0 36 28 64 0
+10 0 1 0 0 36 30 64 0
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+10 0 1 0 0 36 76 64 0
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 0
+11 0 2 0 0 36 40 64 0
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+11 0 2 0 0 36 64 64 0
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 0
+12 0 2 0 0 36 40 64 0
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+12 0 2 0 0 36 64 64 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0
+12 0 1 0 0 36 28 64 0
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+12 0 1 0 0 36 76 64 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 0
+12 0 0 0 0 36 4 64 0
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+12 0 0 0 0 36 100 64 0
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 0
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+13 0 2 0 0 36 64 64 0
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 0
+14 0 2 0 0 36 40 64 0
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+14 0 2 0 0 36 64 64 0
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0
+14 0 1 0 0 36 28 64 0
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+14 0 1 0 0 36 76 64 0
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 0
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+15 0 2 0 0 36 64 64 0
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 0
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+16 0 2 0 0 36 64 64 0
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0
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+16 0 1 0 0 36 76 64 0
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 0
+16 0 0 0 0 36 4 64 0
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+16 0 0 0 0 36 100 64 0
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 0
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+17 0 2 0 0 36 64 64 0
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 0
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+18 0 2 0 0 36 64 64 0
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 0
+18 0 1 0 0 36 28 64 0
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+18 0 1 0 0 36 76 64 0
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 0
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+19 0 2 0 0 36 64 64 0
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 0
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+20 0 2 0 0 36 64 64 0
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 0
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+20 0 1 0 0 36 76 64 0
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 0
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+20 0 0 0 0 36 100 64 0
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 0
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+21 0 2 0 0 36 64 64 0
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 0
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+22 0 2 0 0 36 64 64 0
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 0
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+22 0 1 0 0 36 66 64 0
+22 0 1 0 0 36 68 64 0
+22 0 1 0 0 36 70 64 0
+22 0 1 0 0 36 72 64 0
+22 0 1 0 0 36 74 64 0
+22 0 1 0 0 36 76 64 0
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 0
+23 0 2 0 0 36 40 64 0
+23 0 2 0 0 36 41 64 0
+23 0 2 0 0 36 42 64 0
+23 0 2 0 0 36 43 64 0
+23 0 2 0 0 36 44 64 0
+23 0 2 0 0 36 45 64 0
+23 0 2 0 0 36 46 64 0
+23 0 2 0 0 36 47 64 0
+23 0 2 0 0 36 48 64 0
+23 0 2 0 0 36 49 64 0
+23 0 2 0 0 36 50 64 0
+23 0 2 0 0 36 51 64 0
+23 0 2 0 0 36 52 64 0
+23 0 2 0 0 36 53 64 0
+23 0 2 0 0 36 54 64 0
+23 0 2 0 0 36 55 64 0
+23 0 2 0 0 36 56 64 0
+23 0 2 0 0 36 57 64 0
+23 0 2 0 0 36 58 64 0
+23 0 2 0 0 36 59 64 0
+23 0 2 0 0 36 60 64 0
+23 0 2 0 0 36 61 64 0
+23 0 2 0 0 36 62 64 0
+23 0 2 0 0 36 63 64 0
+23 0 2 0 0 36 64 64 0
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 0
+24 0 2 0 0 36 40 64 0
+24 0 2 0 0 36 41 64 0
+24 0 2 0 0 36 42 64 0
+24 0 2 0 0 36 43 64 0
+24 0 2 0 0 36 44 64 0
+24 0 2 0 0 36 45 64 0
+24 0 2 0 0 36 46 64 0
+24 0 2 0 0 36 47 64 0
+24 0 2 0 0 36 48 64 0
+24 0 2 0 0 36 49 64 0
+24 0 2 0 0 36 50 64 0
+24 0 2 0 0 36 51 64 0
+24 0 2 0 0 36 52 64 0
+24 0 2 0 0 36 53 64 0
+24 0 2 0 0 36 54 64 0
+24 0 2 0 0 36 55 64 0
+24 0 2 0 0 36 56 64 0
+24 0 2 0 0 36 57 64 0
+24 0 2 0 0 36 58 64 0
+24 0 2 0 0 36 59 64 0
+24 0 2 0 0 36 60 64 0
+24 0 2 0 0 36 61 64 0
+24 0 2 0 0 36 62 64 0
+24 0 2 0 0 36 63 64 0
+24 0 2 0 0 36 64 64 0
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 0
+24 0 1 0 0 36 28 64 0
+24 0 1 0 0 36 30 64 0
+24 0 1 0 0 36 32 64 0
+24 0 1 0 0 36 34 64 0
+24 0 1 0 0 36 36 64 0
+24 0 1 0 0 36 38 64 0
+24 0 1 0 0 36 40 64 0
+24 0 1 0 0 36 42 64 0
+24 0 1 0 0 36 44 64 0
+24 0 1 0 0 36 46 64 0
+24 0 1 0 0 36 48 64 0
+24 0 1 0 0 36 50 64 0
+24 0 1 0 0 36 52 64 0
+24 0 1 0 0 36 54 64 0
+24 0 1 0 0 36 56 64 0
+24 0 1 0 0 36 58 64 0
+24 0 1 0 0 36 60 64 0
+24 0 1 0 0 36 62 64 0
+24 0 1 0 0 36 64 64 0
+24 0 1 0 0 36 66 64 0
+24 0 1 0 0 36 68 64 0
+24 0 1 0 0 36 70 64 0
+24 0 1 0 0 36 72 64 0
+24 0 1 0 0 36 74 64 0
+24 0 1 0 0 36 76 64 0
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 0
+24 0 0 0 0 36 4 64 0
+24 0 0 0 0 36 8 64 0
+24 0 0 0 0 36 12 64 0
+24 0 0 0 0 36 16 64 0
+24 0 0 0 0 36 20 64 0
+24 0 0 0 0 36 24 64 0
+24 0 0 0 0 36 28 64 0
+24 0 0 0 0 36 32 64 0
+24 0 0 0 0 36 36 64 0
+24 0 0 0 0 36 40 64 0
+24 0 0 0 0 36 44 64 0
+24 0 0 0 0 36 48 64 0
+24 0 0 0 0 36 52 64 0
+24 0 0 0 0 36 56 64 0
+24 0 0 0 0 36 60 64 0
+24 0 0 0 0 36 64 64 0
+24 0 0 0 0 36 68 64 0
+24 0 0 0 0 36 72 64 0
+24 0 0 0 0 36 76 64 0
+24 0 0 0 0 36 80 64 0
+24 0 0 0 0 36 84 64 0
+24 0 0 0 0 36 88 64 0
+24 0 0 0 0 36 92 64 0
+24 0 0 0 0 36 96 64 0
+24 0 0 0 0 36 100 64 0
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_z.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_z.zl
new file mode 100644
index 000000000..e10c9f932
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/cart3d_z.zl
@@ -0,0 +1,1757 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 -1.95
+0 0 2 0 0 36 48 52 -1.8
+0 0 2 0 0 36 48 53 -1.65
+0 0 2 0 0 36 48 54 -1.5
+0 0 2 0 0 36 48 55 -1.35
+0 0 2 0 0 36 48 56 -1.2
+0 0 2 0 0 36 48 57 -1.05
+0 0 2 0 0 36 48 58 -0.9
+0 0 2 0 0 36 48 59 -0.75
+0 0 2 0 0 36 48 60 -0.6
+0 0 2 0 0 36 48 61 -0.45
+0 0 2 0 0 36 48 62 -0.3
+0 0 2 0 0 36 48 63 -0.15
+0 0 2 0 0 36 48 64 0
+0 0 2 0 0 36 48 65 0.15
+0 0 2 0 0 36 48 66 0.3
+0 0 2 0 0 36 48 67 0.45
+0 0 2 0 0 36 48 68 0.6
+0 0 2 0 0 36 48 69 0.75
+0 0 2 0 0 36 48 70 0.9
+0 0 2 0 0 36 48 71 1.05
+0 0 2 0 0 36 48 72 1.2
+0 0 2 0 0 36 48 73 1.35
+0 0 2 0 0 36 48 74 1.5
+0 0 2 0 0 36 48 75 1.65
+0 0 2 0 0 36 48 76 1.8
+0 0 2 0 0 36 48 77 1.95
+0 0 2 0 0 36 48 78 2.1
+0 0 2 0 0 36 48 79 2.25
+0 0 2 0 0 36 48 80 2.4
+0 0 2 0 0 36 48 81 2.55
+0 0 2 0 0 36 48 82 2.7
+0 0 2 0 0 36 48 83 2.85
+0 0 2 0 0 36 48 84 3
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -4.5
+0 0 1 0 0 36 48 36 -4.2
+0 0 1 0 0 36 48 38 -3.9
+0 0 1 0 0 36 48 40 -3.6
+0 0 1 0 0 36 48 42 -3.3
+0 0 1 0 0 36 48 44 -3
+0 0 1 0 0 36 48 46 -2.7
+0 0 1 0 0 36 48 48 -2.4
+0 0 1 0 0 36 48 50 -2.1
+0 0 1 0 0 36 48 52 -1.8
+0 0 1 0 0 36 48 54 -1.5
+0 0 1 0 0 36 48 56 -1.2
+0 0 1 0 0 36 48 58 -0.9
+0 0 1 0 0 36 48 60 -0.6
+0 0 1 0 0 36 48 62 -0.3
+0 0 1 0 0 36 48 64 0
+0 0 1 0 0 36 48 66 0.3
+0 0 1 0 0 36 48 68 0.6
+0 0 1 0 0 36 48 70 0.9
+0 0 1 0 0 36 48 72 1.2
+0 0 1 0 0 36 48 74 1.5
+0 0 1 0 0 36 48 76 1.8
+0 0 1 0 0 36 48 78 2.1
+0 0 1 0 0 36 48 80 2.4
+0 0 1 0 0 36 48 82 2.7
+0 0 1 0 0 36 48 84 3
+0 0 1 0 0 36 48 86 3.3
+0 0 1 0 0 36 48 88 3.6
+0 0 1 0 0 36 48 90 3.9
+0 0 1 0 0 36 48 92 4.2
+0 0 1 0 0 36 48 94 4.5
+0 0 1 0 0 36 48 96 4.8
+0 0 1 0 0 36 48 98 5.1
+0 0 1 0 0 36 48 100 5.4
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 -9.6
+0 0 0 0 0 36 48 4 -9
+0 0 0 0 0 36 48 8 -8.4
+0 0 0 0 0 36 48 12 -7.8
+0 0 0 0 0 36 48 16 -7.2
+0 0 0 0 0 36 48 20 -6.6
+0 0 0 0 0 36 48 24 -6
+0 0 0 0 0 36 48 28 -5.4
+0 0 0 0 0 36 48 32 -4.8
+0 0 0 0 0 36 48 36 -4.2
+0 0 0 0 0 36 48 40 -3.6
+0 0 0 0 0 36 48 44 -3
+0 0 0 0 0 36 48 48 -2.4
+0 0 0 0 0 36 48 52 -1.8
+0 0 0 0 0 36 48 56 -1.2
+0 0 0 0 0 36 48 60 -0.6
+0 0 0 0 0 36 48 64 0
+0 0 0 0 0 36 48 68 0.6
+0 0 0 0 0 36 48 72 1.2
+0 0 0 0 0 36 48 76 1.8
+0 0 0 0 0 36 48 80 2.4
+0 0 0 0 0 36 48 84 3
+0 0 0 0 0 36 48 88 3.6
+0 0 0 0 0 36 48 92 4.2
+0 0 0 0 0 36 48 96 4.8
+0 0 0 0 0 36 48 100 5.4
+0 0 0 0 0 36 48 104 6
+0 0 0 0 0 36 48 108 6.6
+0 0 0 0 0 36 48 112 7.2
+0 0 0 0 0 36 48 116 7.8
+0 0 0 0 0 36 48 120 8.4
+0 0 0 0 0 36 48 124 9
+0 0 0 0 0 36 48 128 9.6
+0 0 0 0 0 36 48 132 10.2
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 -1.95
+1 0 2 0 0 36 48 52 -1.8
+1 0 2 0 0 36 48 53 -1.65
+1 0 2 0 0 36 48 54 -1.5
+1 0 2 0 0 36 48 55 -1.35
+1 0 2 0 0 36 48 56 -1.2
+1 0 2 0 0 36 48 57 -1.05
+1 0 2 0 0 36 48 58 -0.9
+1 0 2 0 0 36 48 59 -0.75
+1 0 2 0 0 36 48 60 -0.6
+1 0 2 0 0 36 48 61 -0.45
+1 0 2 0 0 36 48 62 -0.3
+1 0 2 0 0 36 48 63 -0.15
+1 0 2 0 0 36 48 64 0
+1 0 2 0 0 36 48 65 0.15
+1 0 2 0 0 36 48 66 0.3
+1 0 2 0 0 36 48 67 0.45
+1 0 2 0 0 36 48 68 0.6
+1 0 2 0 0 36 48 69 0.75
+1 0 2 0 0 36 48 70 0.9
+1 0 2 0 0 36 48 71 1.05
+1 0 2 0 0 36 48 72 1.2
+1 0 2 0 0 36 48 73 1.35
+1 0 2 0 0 36 48 74 1.5
+1 0 2 0 0 36 48 75 1.65
+1 0 2 0 0 36 48 76 1.8
+1 0 2 0 0 36 48 77 1.95
+1 0 2 0 0 36 48 78 2.1
+1 0 2 0 0 36 48 79 2.25
+1 0 2 0 0 36 48 80 2.4
+1 0 2 0 0 36 48 81 2.55
+1 0 2 0 0 36 48 82 2.7
+1 0 2 0 0 36 48 83 2.85
+1 0 2 0 0 36 48 84 3
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 -1.95
+2 0 2 0 0 36 48 52 -1.8
+2 0 2 0 0 36 48 53 -1.65
+2 0 2 0 0 36 48 54 -1.5
+2 0 2 0 0 36 48 55 -1.35
+2 0 2 0 0 36 48 56 -1.2
+2 0 2 0 0 36 48 57 -1.05
+2 0 2 0 0 36 48 58 -0.9
+2 0 2 0 0 36 48 59 -0.75
+2 0 2 0 0 36 48 60 -0.6
+2 0 2 0 0 36 48 61 -0.45
+2 0 2 0 0 36 48 62 -0.3
+2 0 2 0 0 36 48 63 -0.15
+2 0 2 0 0 36 48 64 0
+2 0 2 0 0 36 48 65 0.15
+2 0 2 0 0 36 48 66 0.3
+2 0 2 0 0 36 48 67 0.45
+2 0 2 0 0 36 48 68 0.6
+2 0 2 0 0 36 48 69 0.75
+2 0 2 0 0 36 48 70 0.9
+2 0 2 0 0 36 48 71 1.05
+2 0 2 0 0 36 48 72 1.2
+2 0 2 0 0 36 48 73 1.35
+2 0 2 0 0 36 48 74 1.5
+2 0 2 0 0 36 48 75 1.65
+2 0 2 0 0 36 48 76 1.8
+2 0 2 0 0 36 48 77 1.95
+2 0 2 0 0 36 48 78 2.1
+2 0 2 0 0 36 48 79 2.25
+2 0 2 0 0 36 48 80 2.4
+2 0 2 0 0 36 48 81 2.55
+2 0 2 0 0 36 48 82 2.7
+2 0 2 0 0 36 48 83 2.85
+2 0 2 0 0 36 48 84 3
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -4.5
+2 0 1 0 0 36 48 36 -4.2
+2 0 1 0 0 36 48 38 -3.9
+2 0 1 0 0 36 48 40 -3.6
+2 0 1 0 0 36 48 42 -3.3
+2 0 1 0 0 36 48 44 -3
+2 0 1 0 0 36 48 46 -2.7
+2 0 1 0 0 36 48 48 -2.4
+2 0 1 0 0 36 48 50 -2.1
+2 0 1 0 0 36 48 52 -1.8
+2 0 1 0 0 36 48 54 -1.5
+2 0 1 0 0 36 48 56 -1.2
+2 0 1 0 0 36 48 58 -0.9
+2 0 1 0 0 36 48 60 -0.6
+2 0 1 0 0 36 48 62 -0.3
+2 0 1 0 0 36 48 64 0
+2 0 1 0 0 36 48 66 0.3
+2 0 1 0 0 36 48 68 0.6
+2 0 1 0 0 36 48 70 0.9
+2 0 1 0 0 36 48 72 1.2
+2 0 1 0 0 36 48 74 1.5
+2 0 1 0 0 36 48 76 1.8
+2 0 1 0 0 36 48 78 2.1
+2 0 1 0 0 36 48 80 2.4
+2 0 1 0 0 36 48 82 2.7
+2 0 1 0 0 36 48 84 3
+2 0 1 0 0 36 48 86 3.3
+2 0 1 0 0 36 48 88 3.6
+2 0 1 0 0 36 48 90 3.9
+2 0 1 0 0 36 48 92 4.2
+2 0 1 0 0 36 48 94 4.5
+2 0 1 0 0 36 48 96 4.8
+2 0 1 0 0 36 48 98 5.1
+2 0 1 0 0 36 48 100 5.4
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 -1.95
+3 0 2 0 0 36 48 52 -1.8
+3 0 2 0 0 36 48 53 -1.65
+3 0 2 0 0 36 48 54 -1.5
+3 0 2 0 0 36 48 55 -1.35
+3 0 2 0 0 36 48 56 -1.2
+3 0 2 0 0 36 48 57 -1.05
+3 0 2 0 0 36 48 58 -0.9
+3 0 2 0 0 36 48 59 -0.75
+3 0 2 0 0 36 48 60 -0.6
+3 0 2 0 0 36 48 61 -0.45
+3 0 2 0 0 36 48 62 -0.3
+3 0 2 0 0 36 48 63 -0.15
+3 0 2 0 0 36 48 64 0
+3 0 2 0 0 36 48 65 0.15
+3 0 2 0 0 36 48 66 0.3
+3 0 2 0 0 36 48 67 0.45
+3 0 2 0 0 36 48 68 0.6
+3 0 2 0 0 36 48 69 0.75
+3 0 2 0 0 36 48 70 0.9
+3 0 2 0 0 36 48 71 1.05
+3 0 2 0 0 36 48 72 1.2
+3 0 2 0 0 36 48 73 1.35
+3 0 2 0 0 36 48 74 1.5
+3 0 2 0 0 36 48 75 1.65
+3 0 2 0 0 36 48 76 1.8
+3 0 2 0 0 36 48 77 1.95
+3 0 2 0 0 36 48 78 2.1
+3 0 2 0 0 36 48 79 2.25
+3 0 2 0 0 36 48 80 2.4
+3 0 2 0 0 36 48 81 2.55
+3 0 2 0 0 36 48 82 2.7
+3 0 2 0 0 36 48 83 2.85
+3 0 2 0 0 36 48 84 3
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 -1.95
+4 0 2 0 0 36 48 52 -1.8
+4 0 2 0 0 36 48 53 -1.65
+4 0 2 0 0 36 48 54 -1.5
+4 0 2 0 0 36 48 55 -1.35
+4 0 2 0 0 36 48 56 -1.2
+4 0 2 0 0 36 48 57 -1.05
+4 0 2 0 0 36 48 58 -0.9
+4 0 2 0 0 36 48 59 -0.75
+4 0 2 0 0 36 48 60 -0.6
+4 0 2 0 0 36 48 61 -0.45
+4 0 2 0 0 36 48 62 -0.3
+4 0 2 0 0 36 48 63 -0.15
+4 0 2 0 0 36 48 64 0
+4 0 2 0 0 36 48 65 0.15
+4 0 2 0 0 36 48 66 0.3
+4 0 2 0 0 36 48 67 0.45
+4 0 2 0 0 36 48 68 0.6
+4 0 2 0 0 36 48 69 0.75
+4 0 2 0 0 36 48 70 0.9
+4 0 2 0 0 36 48 71 1.05
+4 0 2 0 0 36 48 72 1.2
+4 0 2 0 0 36 48 73 1.35
+4 0 2 0 0 36 48 74 1.5
+4 0 2 0 0 36 48 75 1.65
+4 0 2 0 0 36 48 76 1.8
+4 0 2 0 0 36 48 77 1.95
+4 0 2 0 0 36 48 78 2.1
+4 0 2 0 0 36 48 79 2.25
+4 0 2 0 0 36 48 80 2.4
+4 0 2 0 0 36 48 81 2.55
+4 0 2 0 0 36 48 82 2.7
+4 0 2 0 0 36 48 83 2.85
+4 0 2 0 0 36 48 84 3
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -4.5
+4 0 1 0 0 36 48 36 -4.2
+4 0 1 0 0 36 48 38 -3.9
+4 0 1 0 0 36 48 40 -3.6
+4 0 1 0 0 36 48 42 -3.3
+4 0 1 0 0 36 48 44 -3
+4 0 1 0 0 36 48 46 -2.7
+4 0 1 0 0 36 48 48 -2.4
+4 0 1 0 0 36 48 50 -2.1
+4 0 1 0 0 36 48 52 -1.8
+4 0 1 0 0 36 48 54 -1.5
+4 0 1 0 0 36 48 56 -1.2
+4 0 1 0 0 36 48 58 -0.9
+4 0 1 0 0 36 48 60 -0.6
+4 0 1 0 0 36 48 62 -0.3
+4 0 1 0 0 36 48 64 0
+4 0 1 0 0 36 48 66 0.3
+4 0 1 0 0 36 48 68 0.6
+4 0 1 0 0 36 48 70 0.9
+4 0 1 0 0 36 48 72 1.2
+4 0 1 0 0 36 48 74 1.5
+4 0 1 0 0 36 48 76 1.8
+4 0 1 0 0 36 48 78 2.1
+4 0 1 0 0 36 48 80 2.4
+4 0 1 0 0 36 48 82 2.7
+4 0 1 0 0 36 48 84 3
+4 0 1 0 0 36 48 86 3.3
+4 0 1 0 0 36 48 88 3.6
+4 0 1 0 0 36 48 90 3.9
+4 0 1 0 0 36 48 92 4.2
+4 0 1 0 0 36 48 94 4.5
+4 0 1 0 0 36 48 96 4.8
+4 0 1 0 0 36 48 98 5.1
+4 0 1 0 0 36 48 100 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 -9.6
+4 0 0 0 0 36 48 4 -9
+4 0 0 0 0 36 48 8 -8.4
+4 0 0 0 0 36 48 12 -7.8
+4 0 0 0 0 36 48 16 -7.2
+4 0 0 0 0 36 48 20 -6.6
+4 0 0 0 0 36 48 24 -6
+4 0 0 0 0 36 48 28 -5.4
+4 0 0 0 0 36 48 32 -4.8
+4 0 0 0 0 36 48 36 -4.2
+4 0 0 0 0 36 48 40 -3.6
+4 0 0 0 0 36 48 44 -3
+4 0 0 0 0 36 48 48 -2.4
+4 0 0 0 0 36 48 52 -1.8
+4 0 0 0 0 36 48 56 -1.2
+4 0 0 0 0 36 48 60 -0.6
+4 0 0 0 0 36 48 64 0
+4 0 0 0 0 36 48 68 0.6
+4 0 0 0 0 36 48 72 1.2
+4 0 0 0 0 36 48 76 1.8
+4 0 0 0 0 36 48 80 2.4
+4 0 0 0 0 36 48 84 3
+4 0 0 0 0 36 48 88 3.6
+4 0 0 0 0 36 48 92 4.2
+4 0 0 0 0 36 48 96 4.8
+4 0 0 0 0 36 48 100 5.4
+4 0 0 0 0 36 48 104 6
+4 0 0 0 0 36 48 108 6.6
+4 0 0 0 0 36 48 112 7.2
+4 0 0 0 0 36 48 116 7.8
+4 0 0 0 0 36 48 120 8.4
+4 0 0 0 0 36 48 124 9
+4 0 0 0 0 36 48 128 9.6
+4 0 0 0 0 36 48 132 10.2
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 -1.95
+5 0 2 0 0 36 48 52 -1.8
+5 0 2 0 0 36 48 53 -1.65
+5 0 2 0 0 36 48 54 -1.5
+5 0 2 0 0 36 48 55 -1.35
+5 0 2 0 0 36 48 56 -1.2
+5 0 2 0 0 36 48 57 -1.05
+5 0 2 0 0 36 48 58 -0.9
+5 0 2 0 0 36 48 59 -0.75
+5 0 2 0 0 36 48 60 -0.6
+5 0 2 0 0 36 48 61 -0.45
+5 0 2 0 0 36 48 62 -0.3
+5 0 2 0 0 36 48 63 -0.15
+5 0 2 0 0 36 48 64 0
+5 0 2 0 0 36 48 65 0.15
+5 0 2 0 0 36 48 66 0.3
+5 0 2 0 0 36 48 67 0.45
+5 0 2 0 0 36 48 68 0.6
+5 0 2 0 0 36 48 69 0.75
+5 0 2 0 0 36 48 70 0.9
+5 0 2 0 0 36 48 71 1.05
+5 0 2 0 0 36 48 72 1.2
+5 0 2 0 0 36 48 73 1.35
+5 0 2 0 0 36 48 74 1.5
+5 0 2 0 0 36 48 75 1.65
+5 0 2 0 0 36 48 76 1.8
+5 0 2 0 0 36 48 77 1.95
+5 0 2 0 0 36 48 78 2.1
+5 0 2 0 0 36 48 79 2.25
+5 0 2 0 0 36 48 80 2.4
+5 0 2 0 0 36 48 81 2.55
+5 0 2 0 0 36 48 82 2.7
+5 0 2 0 0 36 48 83 2.85
+5 0 2 0 0 36 48 84 3
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 -1.95
+6 0 2 0 0 36 48 52 -1.8
+6 0 2 0 0 36 48 53 -1.65
+6 0 2 0 0 36 48 54 -1.5
+6 0 2 0 0 36 48 55 -1.35
+6 0 2 0 0 36 48 56 -1.2
+6 0 2 0 0 36 48 57 -1.05
+6 0 2 0 0 36 48 58 -0.9
+6 0 2 0 0 36 48 59 -0.75
+6 0 2 0 0 36 48 60 -0.6
+6 0 2 0 0 36 48 61 -0.45
+6 0 2 0 0 36 48 62 -0.3
+6 0 2 0 0 36 48 63 -0.15
+6 0 2 0 0 36 48 64 0
+6 0 2 0 0 36 48 65 0.15
+6 0 2 0 0 36 48 66 0.3
+6 0 2 0 0 36 48 67 0.45
+6 0 2 0 0 36 48 68 0.6
+6 0 2 0 0 36 48 69 0.75
+6 0 2 0 0 36 48 70 0.9
+6 0 2 0 0 36 48 71 1.05
+6 0 2 0 0 36 48 72 1.2
+6 0 2 0 0 36 48 73 1.35
+6 0 2 0 0 36 48 74 1.5
+6 0 2 0 0 36 48 75 1.65
+6 0 2 0 0 36 48 76 1.8
+6 0 2 0 0 36 48 77 1.95
+6 0 2 0 0 36 48 78 2.1
+6 0 2 0 0 36 48 79 2.25
+6 0 2 0 0 36 48 80 2.4
+6 0 2 0 0 36 48 81 2.55
+6 0 2 0 0 36 48 82 2.7
+6 0 2 0 0 36 48 83 2.85
+6 0 2 0 0 36 48 84 3
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -4.5
+6 0 1 0 0 36 48 36 -4.2
+6 0 1 0 0 36 48 38 -3.9
+6 0 1 0 0 36 48 40 -3.6
+6 0 1 0 0 36 48 42 -3.3
+6 0 1 0 0 36 48 44 -3
+6 0 1 0 0 36 48 46 -2.7
+6 0 1 0 0 36 48 48 -2.4
+6 0 1 0 0 36 48 50 -2.1
+6 0 1 0 0 36 48 52 -1.8
+6 0 1 0 0 36 48 54 -1.5
+6 0 1 0 0 36 48 56 -1.2
+6 0 1 0 0 36 48 58 -0.9
+6 0 1 0 0 36 48 60 -0.6
+6 0 1 0 0 36 48 62 -0.3
+6 0 1 0 0 36 48 64 0
+6 0 1 0 0 36 48 66 0.3
+6 0 1 0 0 36 48 68 0.6
+6 0 1 0 0 36 48 70 0.9
+6 0 1 0 0 36 48 72 1.2
+6 0 1 0 0 36 48 74 1.5
+6 0 1 0 0 36 48 76 1.8
+6 0 1 0 0 36 48 78 2.1
+6 0 1 0 0 36 48 80 2.4
+6 0 1 0 0 36 48 82 2.7
+6 0 1 0 0 36 48 84 3
+6 0 1 0 0 36 48 86 3.3
+6 0 1 0 0 36 48 88 3.6
+6 0 1 0 0 36 48 90 3.9
+6 0 1 0 0 36 48 92 4.2
+6 0 1 0 0 36 48 94 4.5
+6 0 1 0 0 36 48 96 4.8
+6 0 1 0 0 36 48 98 5.1
+6 0 1 0 0 36 48 100 5.4
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 -1.95
+7 0 2 0 0 36 48 52 -1.8
+7 0 2 0 0 36 48 53 -1.65
+7 0 2 0 0 36 48 54 -1.5
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+7 0 2 0 0 36 48 56 -1.2
+7 0 2 0 0 36 48 57 -1.05
+7 0 2 0 0 36 48 58 -0.9
+7 0 2 0 0 36 48 59 -0.75
+7 0 2 0 0 36 48 60 -0.6
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+7 0 2 0 0 36 48 62 -0.3
+7 0 2 0 0 36 48 63 -0.15
+7 0 2 0 0 36 48 64 0
+7 0 2 0 0 36 48 65 0.15
+7 0 2 0 0 36 48 66 0.3
+7 0 2 0 0 36 48 67 0.45
+7 0 2 0 0 36 48 68 0.6
+7 0 2 0 0 36 48 69 0.75
+7 0 2 0 0 36 48 70 0.9
+7 0 2 0 0 36 48 71 1.05
+7 0 2 0 0 36 48 72 1.2
+7 0 2 0 0 36 48 73 1.35
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+7 0 2 0 0 36 48 75 1.65
+7 0 2 0 0 36 48 76 1.8
+7 0 2 0 0 36 48 77 1.95
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+7 0 2 0 0 36 48 80 2.4
+7 0 2 0 0 36 48 81 2.55
+7 0 2 0 0 36 48 82 2.7
+7 0 2 0 0 36 48 83 2.85
+7 0 2 0 0 36 48 84 3
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 -1.95
+8 0 2 0 0 36 48 52 -1.8
+8 0 2 0 0 36 48 53 -1.65
+8 0 2 0 0 36 48 54 -1.5
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+8 0 2 0 0 36 48 56 -1.2
+8 0 2 0 0 36 48 57 -1.05
+8 0 2 0 0 36 48 58 -0.9
+8 0 2 0 0 36 48 59 -0.75
+8 0 2 0 0 36 48 60 -0.6
+8 0 2 0 0 36 48 61 -0.45
+8 0 2 0 0 36 48 62 -0.3
+8 0 2 0 0 36 48 63 -0.15
+8 0 2 0 0 36 48 64 0
+8 0 2 0 0 36 48 65 0.15
+8 0 2 0 0 36 48 66 0.3
+8 0 2 0 0 36 48 67 0.45
+8 0 2 0 0 36 48 68 0.6
+8 0 2 0 0 36 48 69 0.75
+8 0 2 0 0 36 48 70 0.9
+8 0 2 0 0 36 48 71 1.05
+8 0 2 0 0 36 48 72 1.2
+8 0 2 0 0 36 48 73 1.35
+8 0 2 0 0 36 48 74 1.5
+8 0 2 0 0 36 48 75 1.65
+8 0 2 0 0 36 48 76 1.8
+8 0 2 0 0 36 48 77 1.95
+8 0 2 0 0 36 48 78 2.1
+8 0 2 0 0 36 48 79 2.25
+8 0 2 0 0 36 48 80 2.4
+8 0 2 0 0 36 48 81 2.55
+8 0 2 0 0 36 48 82 2.7
+8 0 2 0 0 36 48 83 2.85
+8 0 2 0 0 36 48 84 3
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -4.5
+8 0 1 0 0 36 48 36 -4.2
+8 0 1 0 0 36 48 38 -3.9
+8 0 1 0 0 36 48 40 -3.6
+8 0 1 0 0 36 48 42 -3.3
+8 0 1 0 0 36 48 44 -3
+8 0 1 0 0 36 48 46 -2.7
+8 0 1 0 0 36 48 48 -2.4
+8 0 1 0 0 36 48 50 -2.1
+8 0 1 0 0 36 48 52 -1.8
+8 0 1 0 0 36 48 54 -1.5
+8 0 1 0 0 36 48 56 -1.2
+8 0 1 0 0 36 48 58 -0.9
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+8 0 1 0 0 36 48 62 -0.3
+8 0 1 0 0 36 48 64 0
+8 0 1 0 0 36 48 66 0.3
+8 0 1 0 0 36 48 68 0.6
+8 0 1 0 0 36 48 70 0.9
+8 0 1 0 0 36 48 72 1.2
+8 0 1 0 0 36 48 74 1.5
+8 0 1 0 0 36 48 76 1.8
+8 0 1 0 0 36 48 78 2.1
+8 0 1 0 0 36 48 80 2.4
+8 0 1 0 0 36 48 82 2.7
+8 0 1 0 0 36 48 84 3
+8 0 1 0 0 36 48 86 3.3
+8 0 1 0 0 36 48 88 3.6
+8 0 1 0 0 36 48 90 3.9
+8 0 1 0 0 36 48 92 4.2
+8 0 1 0 0 36 48 94 4.5
+8 0 1 0 0 36 48 96 4.8
+8 0 1 0 0 36 48 98 5.1
+8 0 1 0 0 36 48 100 5.4
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 -9.6
+8 0 0 0 0 36 48 4 -9
+8 0 0 0 0 36 48 8 -8.4
+8 0 0 0 0 36 48 12 -7.8
+8 0 0 0 0 36 48 16 -7.2
+8 0 0 0 0 36 48 20 -6.6
+8 0 0 0 0 36 48 24 -6
+8 0 0 0 0 36 48 28 -5.4
+8 0 0 0 0 36 48 32 -4.8
+8 0 0 0 0 36 48 36 -4.2
+8 0 0 0 0 36 48 40 -3.6
+8 0 0 0 0 36 48 44 -3
+8 0 0 0 0 36 48 48 -2.4
+8 0 0 0 0 36 48 52 -1.8
+8 0 0 0 0 36 48 56 -1.2
+8 0 0 0 0 36 48 60 -0.6
+8 0 0 0 0 36 48 64 0
+8 0 0 0 0 36 48 68 0.6
+8 0 0 0 0 36 48 72 1.2
+8 0 0 0 0 36 48 76 1.8
+8 0 0 0 0 36 48 80 2.4
+8 0 0 0 0 36 48 84 3
+8 0 0 0 0 36 48 88 3.6
+8 0 0 0 0 36 48 92 4.2
+8 0 0 0 0 36 48 96 4.8
+8 0 0 0 0 36 48 100 5.4
+8 0 0 0 0 36 48 104 6
+8 0 0 0 0 36 48 108 6.6
+8 0 0 0 0 36 48 112 7.2
+8 0 0 0 0 36 48 116 7.8
+8 0 0 0 0 36 48 120 8.4
+8 0 0 0 0 36 48 124 9
+8 0 0 0 0 36 48 128 9.6
+8 0 0 0 0 36 48 132 10.2
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 -1.95
+9 0 2 0 0 36 48 52 -1.8
+9 0 2 0 0 36 48 53 -1.65
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+9 0 2 0 0 36 48 57 -1.05
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+9 0 2 0 0 36 48 64 0
+9 0 2 0 0 36 48 65 0.15
+9 0 2 0 0 36 48 66 0.3
+9 0 2 0 0 36 48 67 0.45
+9 0 2 0 0 36 48 68 0.6
+9 0 2 0 0 36 48 69 0.75
+9 0 2 0 0 36 48 70 0.9
+9 0 2 0 0 36 48 71 1.05
+9 0 2 0 0 36 48 72 1.2
+9 0 2 0 0 36 48 73 1.35
+9 0 2 0 0 36 48 74 1.5
+9 0 2 0 0 36 48 75 1.65
+9 0 2 0 0 36 48 76 1.8
+9 0 2 0 0 36 48 77 1.95
+9 0 2 0 0 36 48 78 2.1
+9 0 2 0 0 36 48 79 2.25
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+9 0 2 0 0 36 48 81 2.55
+9 0 2 0 0 36 48 82 2.7
+9 0 2 0 0 36 48 83 2.85
+9 0 2 0 0 36 48 84 3
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 -1.95
+10 0 2 0 0 36 48 52 -1.8
+10 0 2 0 0 36 48 53 -1.65
+10 0 2 0 0 36 48 54 -1.5
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+10 0 2 0 0 36 48 62 -0.3
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+10 0 2 0 0 36 48 64 0
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+10 0 2 0 0 36 48 66 0.3
+10 0 2 0 0 36 48 67 0.45
+10 0 2 0 0 36 48 68 0.6
+10 0 2 0 0 36 48 69 0.75
+10 0 2 0 0 36 48 70 0.9
+10 0 2 0 0 36 48 71 1.05
+10 0 2 0 0 36 48 72 1.2
+10 0 2 0 0 36 48 73 1.35
+10 0 2 0 0 36 48 74 1.5
+10 0 2 0 0 36 48 75 1.65
+10 0 2 0 0 36 48 76 1.8
+10 0 2 0 0 36 48 77 1.95
+10 0 2 0 0 36 48 78 2.1
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+10 0 2 0 0 36 48 80 2.4
+10 0 2 0 0 36 48 81 2.55
+10 0 2 0 0 36 48 82 2.7
+10 0 2 0 0 36 48 83 2.85
+10 0 2 0 0 36 48 84 3
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -4.5
+10 0 1 0 0 36 48 36 -4.2
+10 0 1 0 0 36 48 38 -3.9
+10 0 1 0 0 36 48 40 -3.6
+10 0 1 0 0 36 48 42 -3.3
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+10 0 1 0 0 36 48 46 -2.7
+10 0 1 0 0 36 48 48 -2.4
+10 0 1 0 0 36 48 50 -2.1
+10 0 1 0 0 36 48 52 -1.8
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+10 0 1 0 0 36 48 56 -1.2
+10 0 1 0 0 36 48 58 -0.9
+10 0 1 0 0 36 48 60 -0.6
+10 0 1 0 0 36 48 62 -0.3
+10 0 1 0 0 36 48 64 0
+10 0 1 0 0 36 48 66 0.3
+10 0 1 0 0 36 48 68 0.6
+10 0 1 0 0 36 48 70 0.9
+10 0 1 0 0 36 48 72 1.2
+10 0 1 0 0 36 48 74 1.5
+10 0 1 0 0 36 48 76 1.8
+10 0 1 0 0 36 48 78 2.1
+10 0 1 0 0 36 48 80 2.4
+10 0 1 0 0 36 48 82 2.7
+10 0 1 0 0 36 48 84 3
+10 0 1 0 0 36 48 86 3.3
+10 0 1 0 0 36 48 88 3.6
+10 0 1 0 0 36 48 90 3.9
+10 0 1 0 0 36 48 92 4.2
+10 0 1 0 0 36 48 94 4.5
+10 0 1 0 0 36 48 96 4.8
+10 0 1 0 0 36 48 98 5.1
+10 0 1 0 0 36 48 100 5.4
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 -1.95
+11 0 2 0 0 36 48 52 -1.8
+11 0 2 0 0 36 48 53 -1.65
+11 0 2 0 0 36 48 54 -1.5
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+11 0 2 0 0 36 48 57 -1.05
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+11 0 2 0 0 36 48 66 0.3
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+11 0 2 0 0 36 48 68 0.6
+11 0 2 0 0 36 48 69 0.75
+11 0 2 0 0 36 48 70 0.9
+11 0 2 0 0 36 48 71 1.05
+11 0 2 0 0 36 48 72 1.2
+11 0 2 0 0 36 48 73 1.35
+11 0 2 0 0 36 48 74 1.5
+11 0 2 0 0 36 48 75 1.65
+11 0 2 0 0 36 48 76 1.8
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+11 0 2 0 0 36 48 78 2.1
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+11 0 2 0 0 36 48 81 2.55
+11 0 2 0 0 36 48 82 2.7
+11 0 2 0 0 36 48 83 2.85
+11 0 2 0 0 36 48 84 3
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 -1.95
+12 0 2 0 0 36 48 52 -1.8
+12 0 2 0 0 36 48 53 -1.65
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+12 0 2 0 0 36 48 68 0.6
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+12 0 2 0 0 36 48 70 0.9
+12 0 2 0 0 36 48 71 1.05
+12 0 2 0 0 36 48 72 1.2
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+12 0 2 0 0 36 48 74 1.5
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+12 0 2 0 0 36 48 76 1.8
+12 0 2 0 0 36 48 77 1.95
+12 0 2 0 0 36 48 78 2.1
+12 0 2 0 0 36 48 79 2.25
+12 0 2 0 0 36 48 80 2.4
+12 0 2 0 0 36 48 81 2.55
+12 0 2 0 0 36 48 82 2.7
+12 0 2 0 0 36 48 83 2.85
+12 0 2 0 0 36 48 84 3
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -4.5
+12 0 1 0 0 36 48 36 -4.2
+12 0 1 0 0 36 48 38 -3.9
+12 0 1 0 0 36 48 40 -3.6
+12 0 1 0 0 36 48 42 -3.3
+12 0 1 0 0 36 48 44 -3
+12 0 1 0 0 36 48 46 -2.7
+12 0 1 0 0 36 48 48 -2.4
+12 0 1 0 0 36 48 50 -2.1
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+12 0 1 0 0 36 48 56 -1.2
+12 0 1 0 0 36 48 58 -0.9
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+12 0 1 0 0 36 48 62 -0.3
+12 0 1 0 0 36 48 64 0
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+12 0 1 0 0 36 48 68 0.6
+12 0 1 0 0 36 48 70 0.9
+12 0 1 0 0 36 48 72 1.2
+12 0 1 0 0 36 48 74 1.5
+12 0 1 0 0 36 48 76 1.8
+12 0 1 0 0 36 48 78 2.1
+12 0 1 0 0 36 48 80 2.4
+12 0 1 0 0 36 48 82 2.7
+12 0 1 0 0 36 48 84 3
+12 0 1 0 0 36 48 86 3.3
+12 0 1 0 0 36 48 88 3.6
+12 0 1 0 0 36 48 90 3.9
+12 0 1 0 0 36 48 92 4.2
+12 0 1 0 0 36 48 94 4.5
+12 0 1 0 0 36 48 96 4.8
+12 0 1 0 0 36 48 98 5.1
+12 0 1 0 0 36 48 100 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 -9.6
+12 0 0 0 0 36 48 4 -9
+12 0 0 0 0 36 48 8 -8.4
+12 0 0 0 0 36 48 12 -7.8
+12 0 0 0 0 36 48 16 -7.2
+12 0 0 0 0 36 48 20 -6.6
+12 0 0 0 0 36 48 24 -6
+12 0 0 0 0 36 48 28 -5.4
+12 0 0 0 0 36 48 32 -4.8
+12 0 0 0 0 36 48 36 -4.2
+12 0 0 0 0 36 48 40 -3.6
+12 0 0 0 0 36 48 44 -3
+12 0 0 0 0 36 48 48 -2.4
+12 0 0 0 0 36 48 52 -1.8
+12 0 0 0 0 36 48 56 -1.2
+12 0 0 0 0 36 48 60 -0.6
+12 0 0 0 0 36 48 64 0
+12 0 0 0 0 36 48 68 0.6
+12 0 0 0 0 36 48 72 1.2
+12 0 0 0 0 36 48 76 1.8
+12 0 0 0 0 36 48 80 2.4
+12 0 0 0 0 36 48 84 3
+12 0 0 0 0 36 48 88 3.6
+12 0 0 0 0 36 48 92 4.2
+12 0 0 0 0 36 48 96 4.8
+12 0 0 0 0 36 48 100 5.4
+12 0 0 0 0 36 48 104 6
+12 0 0 0 0 36 48 108 6.6
+12 0 0 0 0 36 48 112 7.2
+12 0 0 0 0 36 48 116 7.8
+12 0 0 0 0 36 48 120 8.4
+12 0 0 0 0 36 48 124 9
+12 0 0 0 0 36 48 128 9.6
+12 0 0 0 0 36 48 132 10.2
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 -1.95
+13 0 2 0 0 36 48 52 -1.8
+13 0 2 0 0 36 48 53 -1.65
+13 0 2 0 0 36 48 54 -1.5
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+13 0 2 0 0 36 48 58 -0.9
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+13 0 2 0 0 36 48 64 0
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+13 0 2 0 0 36 48 66 0.3
+13 0 2 0 0 36 48 67 0.45
+13 0 2 0 0 36 48 68 0.6
+13 0 2 0 0 36 48 69 0.75
+13 0 2 0 0 36 48 70 0.9
+13 0 2 0 0 36 48 71 1.05
+13 0 2 0 0 36 48 72 1.2
+13 0 2 0 0 36 48 73 1.35
+13 0 2 0 0 36 48 74 1.5
+13 0 2 0 0 36 48 75 1.65
+13 0 2 0 0 36 48 76 1.8
+13 0 2 0 0 36 48 77 1.95
+13 0 2 0 0 36 48 78 2.1
+13 0 2 0 0 36 48 79 2.25
+13 0 2 0 0 36 48 80 2.4
+13 0 2 0 0 36 48 81 2.55
+13 0 2 0 0 36 48 82 2.7
+13 0 2 0 0 36 48 83 2.85
+13 0 2 0 0 36 48 84 3
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 -1.95
+14 0 2 0 0 36 48 52 -1.8
+14 0 2 0 0 36 48 53 -1.65
+14 0 2 0 0 36 48 54 -1.5
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+14 0 2 0 0 36 48 56 -1.2
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+14 0 2 0 0 36 48 58 -0.9
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+14 0 2 0 0 36 48 64 0
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+14 0 2 0 0 36 48 66 0.3
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+14 0 2 0 0 36 48 68 0.6
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+14 0 2 0 0 36 48 70 0.9
+14 0 2 0 0 36 48 71 1.05
+14 0 2 0 0 36 48 72 1.2
+14 0 2 0 0 36 48 73 1.35
+14 0 2 0 0 36 48 74 1.5
+14 0 2 0 0 36 48 75 1.65
+14 0 2 0 0 36 48 76 1.8
+14 0 2 0 0 36 48 77 1.95
+14 0 2 0 0 36 48 78 2.1
+14 0 2 0 0 36 48 79 2.25
+14 0 2 0 0 36 48 80 2.4
+14 0 2 0 0 36 48 81 2.55
+14 0 2 0 0 36 48 82 2.7
+14 0 2 0 0 36 48 83 2.85
+14 0 2 0 0 36 48 84 3
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 -4.5
+14 0 1 0 0 36 48 36 -4.2
+14 0 1 0 0 36 48 38 -3.9
+14 0 1 0 0 36 48 40 -3.6
+14 0 1 0 0 36 48 42 -3.3
+14 0 1 0 0 36 48 44 -3
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+14 0 1 0 0 36 48 48 -2.4
+14 0 1 0 0 36 48 50 -2.1
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+14 0 1 0 0 36 48 62 -0.3
+14 0 1 0 0 36 48 64 0
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+14 0 1 0 0 36 48 68 0.6
+14 0 1 0 0 36 48 70 0.9
+14 0 1 0 0 36 48 72 1.2
+14 0 1 0 0 36 48 74 1.5
+14 0 1 0 0 36 48 76 1.8
+14 0 1 0 0 36 48 78 2.1
+14 0 1 0 0 36 48 80 2.4
+14 0 1 0 0 36 48 82 2.7
+14 0 1 0 0 36 48 84 3
+14 0 1 0 0 36 48 86 3.3
+14 0 1 0 0 36 48 88 3.6
+14 0 1 0 0 36 48 90 3.9
+14 0 1 0 0 36 48 92 4.2
+14 0 1 0 0 36 48 94 4.5
+14 0 1 0 0 36 48 96 4.8
+14 0 1 0 0 36 48 98 5.1
+14 0 1 0 0 36 48 100 5.4
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 -1.95
+15 0 2 0 0 36 48 52 -1.8
+15 0 2 0 0 36 48 53 -1.65
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+15 0 2 0 0 36 48 58 -0.9
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+15 0 2 0 0 36 48 61 -0.45
+15 0 2 0 0 36 48 62 -0.3
+15 0 2 0 0 36 48 63 -0.15
+15 0 2 0 0 36 48 64 0
+15 0 2 0 0 36 48 65 0.15
+15 0 2 0 0 36 48 66 0.3
+15 0 2 0 0 36 48 67 0.45
+15 0 2 0 0 36 48 68 0.6
+15 0 2 0 0 36 48 69 0.75
+15 0 2 0 0 36 48 70 0.9
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+15 0 2 0 0 36 48 72 1.2
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+15 0 2 0 0 36 48 81 2.55
+15 0 2 0 0 36 48 82 2.7
+15 0 2 0 0 36 48 83 2.85
+15 0 2 0 0 36 48 84 3
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 -1.95
+16 0 2 0 0 36 48 52 -1.8
+16 0 2 0 0 36 48 53 -1.65
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+16 0 2 0 0 36 48 64 0
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+16 0 2 0 0 36 48 68 0.6
+16 0 2 0 0 36 48 69 0.75
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+16 0 2 0 0 36 48 71 1.05
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+16 0 2 0 0 36 48 81 2.55
+16 0 2 0 0 36 48 82 2.7
+16 0 2 0 0 36 48 83 2.85
+16 0 2 0 0 36 48 84 3
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 -4.5
+16 0 1 0 0 36 48 36 -4.2
+16 0 1 0 0 36 48 38 -3.9
+16 0 1 0 0 36 48 40 -3.6
+16 0 1 0 0 36 48 42 -3.3
+16 0 1 0 0 36 48 44 -3
+16 0 1 0 0 36 48 46 -2.7
+16 0 1 0 0 36 48 48 -2.4
+16 0 1 0 0 36 48 50 -2.1
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+16 0 1 0 0 36 48 56 -1.2
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+16 0 1 0 0 36 48 64 0
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+16 0 1 0 0 36 48 70 0.9
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+16 0 1 0 0 36 48 78 2.1
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+16 0 1 0 0 36 48 82 2.7
+16 0 1 0 0 36 48 84 3
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+16 0 1 0 0 36 48 90 3.9
+16 0 1 0 0 36 48 92 4.2
+16 0 1 0 0 36 48 94 4.5
+16 0 1 0 0 36 48 96 4.8
+16 0 1 0 0 36 48 98 5.1
+16 0 1 0 0 36 48 100 5.4
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 -9.6
+16 0 0 0 0 36 48 4 -9
+16 0 0 0 0 36 48 8 -8.4
+16 0 0 0 0 36 48 12 -7.8
+16 0 0 0 0 36 48 16 -7.2
+16 0 0 0 0 36 48 20 -6.6
+16 0 0 0 0 36 48 24 -6
+16 0 0 0 0 36 48 28 -5.4
+16 0 0 0 0 36 48 32 -4.8
+16 0 0 0 0 36 48 36 -4.2
+16 0 0 0 0 36 48 40 -3.6
+16 0 0 0 0 36 48 44 -3
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+16 0 0 0 0 36 48 56 -1.2
+16 0 0 0 0 36 48 60 -0.6
+16 0 0 0 0 36 48 64 0
+16 0 0 0 0 36 48 68 0.6
+16 0 0 0 0 36 48 72 1.2
+16 0 0 0 0 36 48 76 1.8
+16 0 0 0 0 36 48 80 2.4
+16 0 0 0 0 36 48 84 3
+16 0 0 0 0 36 48 88 3.6
+16 0 0 0 0 36 48 92 4.2
+16 0 0 0 0 36 48 96 4.8
+16 0 0 0 0 36 48 100 5.4
+16 0 0 0 0 36 48 104 6
+16 0 0 0 0 36 48 108 6.6
+16 0 0 0 0 36 48 112 7.2
+16 0 0 0 0 36 48 116 7.8
+16 0 0 0 0 36 48 120 8.4
+16 0 0 0 0 36 48 124 9
+16 0 0 0 0 36 48 128 9.6
+16 0 0 0 0 36 48 132 10.2
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 -1.95
+17 0 2 0 0 36 48 52 -1.8
+17 0 2 0 0 36 48 53 -1.65
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+17 0 2 0 0 36 48 64 0
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+17 0 2 0 0 36 48 66 0.3
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+17 0 2 0 0 36 48 68 0.6
+17 0 2 0 0 36 48 69 0.75
+17 0 2 0 0 36 48 70 0.9
+17 0 2 0 0 36 48 71 1.05
+17 0 2 0 0 36 48 72 1.2
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+17 0 2 0 0 36 48 81 2.55
+17 0 2 0 0 36 48 82 2.7
+17 0 2 0 0 36 48 83 2.85
+17 0 2 0 0 36 48 84 3
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 -1.95
+18 0 2 0 0 36 48 52 -1.8
+18 0 2 0 0 36 48 53 -1.65
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+18 0 2 0 0 36 48 81 2.55
+18 0 2 0 0 36 48 82 2.7
+18 0 2 0 0 36 48 83 2.85
+18 0 2 0 0 36 48 84 3
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 -4.5
+18 0 1 0 0 36 48 36 -4.2
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+18 0 1 0 0 36 48 64 0
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+18 0 1 0 0 36 48 70 0.9
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+18 0 1 0 0 36 48 76 1.8
+18 0 1 0 0 36 48 78 2.1
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+18 0 1 0 0 36 48 84 3
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+18 0 1 0 0 36 48 94 4.5
+18 0 1 0 0 36 48 96 4.8
+18 0 1 0 0 36 48 98 5.1
+18 0 1 0 0 36 48 100 5.4
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 -1.95
+19 0 2 0 0 36 48 52 -1.8
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+19 0 2 0 0 36 48 81 2.55
+19 0 2 0 0 36 48 82 2.7
+19 0 2 0 0 36 48 83 2.85
+19 0 2 0 0 36 48 84 3
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 -1.95
+20 0 2 0 0 36 48 52 -1.8
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+20 0 2 0 0 36 48 81 2.55
+20 0 2 0 0 36 48 82 2.7
+20 0 2 0 0 36 48 83 2.85
+20 0 2 0 0 36 48 84 3
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 -4.5
+20 0 1 0 0 36 48 36 -4.2
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+20 0 1 0 0 36 48 40 -3.6
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+20 0 1 0 0 36 48 76 1.8
+20 0 1 0 0 36 48 78 2.1
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+20 0 1 0 0 36 48 82 2.7
+20 0 1 0 0 36 48 84 3
+20 0 1 0 0 36 48 86 3.3
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+20 0 1 0 0 36 48 90 3.9
+20 0 1 0 0 36 48 92 4.2
+20 0 1 0 0 36 48 94 4.5
+20 0 1 0 0 36 48 96 4.8
+20 0 1 0 0 36 48 98 5.1
+20 0 1 0 0 36 48 100 5.4
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 -9.6
+20 0 0 0 0 36 48 4 -9
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+20 0 0 0 0 36 48 12 -7.8
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+20 0 0 0 0 36 48 20 -6.6
+20 0 0 0 0 36 48 24 -6
+20 0 0 0 0 36 48 28 -5.4
+20 0 0 0 0 36 48 32 -4.8
+20 0 0 0 0 36 48 36 -4.2
+20 0 0 0 0 36 48 40 -3.6
+20 0 0 0 0 36 48 44 -3
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+20 0 0 0 0 36 48 60 -0.6
+20 0 0 0 0 36 48 64 0
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+20 0 0 0 0 36 48 72 1.2
+20 0 0 0 0 36 48 76 1.8
+20 0 0 0 0 36 48 80 2.4
+20 0 0 0 0 36 48 84 3
+20 0 0 0 0 36 48 88 3.6
+20 0 0 0 0 36 48 92 4.2
+20 0 0 0 0 36 48 96 4.8
+20 0 0 0 0 36 48 100 5.4
+20 0 0 0 0 36 48 104 6
+20 0 0 0 0 36 48 108 6.6
+20 0 0 0 0 36 48 112 7.2
+20 0 0 0 0 36 48 116 7.8
+20 0 0 0 0 36 48 120 8.4
+20 0 0 0 0 36 48 124 9
+20 0 0 0 0 36 48 128 9.6
+20 0 0 0 0 36 48 132 10.2
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 -1.95
+21 0 2 0 0 36 48 52 -1.8
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+21 0 2 0 0 36 48 71 1.05
+21 0 2 0 0 36 48 72 1.2
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+21 0 2 0 0 36 48 76 1.8
+21 0 2 0 0 36 48 77 1.95
+21 0 2 0 0 36 48 78 2.1
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+21 0 2 0 0 36 48 81 2.55
+21 0 2 0 0 36 48 82 2.7
+21 0 2 0 0 36 48 83 2.85
+21 0 2 0 0 36 48 84 3
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 -1.95
+22 0 2 0 0 36 48 52 -1.8
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+22 0 2 0 0 36 48 70 0.9
+22 0 2 0 0 36 48 71 1.05
+22 0 2 0 0 36 48 72 1.2
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+22 0 2 0 0 36 48 77 1.95
+22 0 2 0 0 36 48 78 2.1
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+22 0 2 0 0 36 48 81 2.55
+22 0 2 0 0 36 48 82 2.7
+22 0 2 0 0 36 48 83 2.85
+22 0 2 0 0 36 48 84 3
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 -4.5
+22 0 1 0 0 36 48 36 -4.2
+22 0 1 0 0 36 48 38 -3.9
+22 0 1 0 0 36 48 40 -3.6
+22 0 1 0 0 36 48 42 -3.3
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+22 0 1 0 0 36 48 48 -2.4
+22 0 1 0 0 36 48 50 -2.1
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+22 0 1 0 0 36 48 72 1.2
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+22 0 1 0 0 36 48 76 1.8
+22 0 1 0 0 36 48 78 2.1
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+22 0 1 0 0 36 48 82 2.7
+22 0 1 0 0 36 48 84 3
+22 0 1 0 0 36 48 86 3.3
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+22 0 1 0 0 36 48 90 3.9
+22 0 1 0 0 36 48 92 4.2
+22 0 1 0 0 36 48 94 4.5
+22 0 1 0 0 36 48 96 4.8
+22 0 1 0 0 36 48 98 5.1
+22 0 1 0 0 36 48 100 5.4
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 -1.95
+23 0 2 0 0 36 48 52 -1.8
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+23 0 2 0 0 36 48 70 0.9
+23 0 2 0 0 36 48 71 1.05
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+23 0 2 0 0 36 48 76 1.8
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+23 0 2 0 0 36 48 78 2.1
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+23 0 2 0 0 36 48 81 2.55
+23 0 2 0 0 36 48 82 2.7
+23 0 2 0 0 36 48 83 2.85
+23 0 2 0 0 36 48 84 3
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 -1.95
+24 0 2 0 0 36 48 52 -1.8
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+24 0 2 0 0 36 48 75 1.65
+24 0 2 0 0 36 48 76 1.8
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+24 0 2 0 0 36 48 78 2.1
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+24 0 2 0 0 36 48 80 2.4
+24 0 2 0 0 36 48 81 2.55
+24 0 2 0 0 36 48 82 2.7
+24 0 2 0 0 36 48 83 2.85
+24 0 2 0 0 36 48 84 3
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 -4.5
+24 0 1 0 0 36 48 36 -4.2
+24 0 1 0 0 36 48 38 -3.9
+24 0 1 0 0 36 48 40 -3.6
+24 0 1 0 0 36 48 42 -3.3
+24 0 1 0 0 36 48 44 -3
+24 0 1 0 0 36 48 46 -2.7
+24 0 1 0 0 36 48 48 -2.4
+24 0 1 0 0 36 48 50 -2.1
+24 0 1 0 0 36 48 52 -1.8
+24 0 1 0 0 36 48 54 -1.5
+24 0 1 0 0 36 48 56 -1.2
+24 0 1 0 0 36 48 58 -0.9
+24 0 1 0 0 36 48 60 -0.6
+24 0 1 0 0 36 48 62 -0.3
+24 0 1 0 0 36 48 64 0
+24 0 1 0 0 36 48 66 0.3
+24 0 1 0 0 36 48 68 0.6
+24 0 1 0 0 36 48 70 0.9
+24 0 1 0 0 36 48 72 1.2
+24 0 1 0 0 36 48 74 1.5
+24 0 1 0 0 36 48 76 1.8
+24 0 1 0 0 36 48 78 2.1
+24 0 1 0 0 36 48 80 2.4
+24 0 1 0 0 36 48 82 2.7
+24 0 1 0 0 36 48 84 3
+24 0 1 0 0 36 48 86 3.3
+24 0 1 0 0 36 48 88 3.6
+24 0 1 0 0 36 48 90 3.9
+24 0 1 0 0 36 48 92 4.2
+24 0 1 0 0 36 48 94 4.5
+24 0 1 0 0 36 48 96 4.8
+24 0 1 0 0 36 48 98 5.1
+24 0 1 0 0 36 48 100 5.4
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 -9.6
+24 0 0 0 0 36 48 4 -9
+24 0 0 0 0 36 48 8 -8.4
+24 0 0 0 0 36 48 12 -7.8
+24 0 0 0 0 36 48 16 -7.2
+24 0 0 0 0 36 48 20 -6.6
+24 0 0 0 0 36 48 24 -6
+24 0 0 0 0 36 48 28 -5.4
+24 0 0 0 0 36 48 32 -4.8
+24 0 0 0 0 36 48 36 -4.2
+24 0 0 0 0 36 48 40 -3.6
+24 0 0 0 0 36 48 44 -3
+24 0 0 0 0 36 48 48 -2.4
+24 0 0 0 0 36 48 52 -1.8
+24 0 0 0 0 36 48 56 -1.2
+24 0 0 0 0 36 48 60 -0.6
+24 0 0 0 0 36 48 64 0
+24 0 0 0 0 36 48 68 0.6
+24 0 0 0 0 36 48 72 1.2
+24 0 0 0 0 36 48 76 1.8
+24 0 0 0 0 36 48 80 2.4
+24 0 0 0 0 36 48 84 3
+24 0 0 0 0 36 48 88 3.6
+24 0 0 0 0 36 48 92 4.2
+24 0 0 0 0 36 48 96 4.8
+24 0 0 0 0 36 48 100 5.4
+24 0 0 0 0 36 48 104 6
+24 0 0 0 0 36 48 108 6.6
+24 0 0 0 0 36 48 112 7.2
+24 0 0 0 0 36 48 116 7.8
+24 0 0 0 0 36 48 120 8.4
+24 0 0 0 0 36 48 124 9
+24 0 0 0 0 36 48 128 9.6
+24 0 0 0 0 36 48 132 10.2
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/phi.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/phi.xl
new file mode 100644
index 000000000..275e6bf77
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/phi.xl
@@ -0,0 +1,1082 @@
+# SPACETIMETOY::phi x (phi)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0.587785252292474
+0 0 2 0 0 28 48 64 0.669130606358859
+0 0 2 0 0 29 48 64 0.743144825477395
+0 0 2 0 0 30 48 64 0.809016994374948
+0 0 2 0 0 31 48 64 0.866025403784439
+0 0 2 0 0 32 48 64 0.913545457642601
+0 0 2 0 0 33 48 64 0.951056516295154
+0 0 2 0 0 34 48 64 0.978147600733806
+0 0 2 0 0 35 48 64 0.994521895368273
+0 0 2 0 0 36 48 64 1
+0 0 2 0 0 37 48 64 0.994521895368273
+0 0 2 0 0 38 48 64 0.978147600733806
+0 0 2 0 0 39 48 64 0.951056516295154
+0 0 2 0 0 40 48 64 0.913545457642601
+0 0 2 0 0 41 48 64 0.866025403784439
+0 0 2 0 0 42 48 64 0.809016994374948
+0 0 2 0 0 43 48 64 0.743144825477395
+0 0 2 0 0 44 48 64 0.669130606358859
+0 0 2 0 0 45 48 64 0.587785252292474
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -0.309016994374946
+0 0 1 0 0 20 48 64 -0.104528463267652
+0 0 1 0 0 22 48 64 0.104528463267655
+0 0 1 0 0 24 48 64 0.309016994374949
+0 0 1 0 0 26 48 64 0.500000000000001
+0 0 1 0 0 28 48 64 0.669130606358859
+0 0 1 0 0 30 48 64 0.809016994374948
+0 0 1 0 0 32 48 64 0.913545457642601
+0 0 1 0 0 34 48 64 0.978147600733806
+0 0 1 0 0 36 48 64 1
+0 0 1 0 0 38 48 64 0.978147600733806
+0 0 1 0 0 40 48 64 0.913545457642601
+0 0 1 0 0 42 48 64 0.809016994374948
+0 0 1 0 0 44 48 64 0.669130606358859
+0 0 1 0 0 46 48 64 0.500000000000001
+0 0 1 0 0 48 48 64 0.309016994374948
+0 0 1 0 0 50 48 64 0.104528463267655
+0 0 1 0 0 52 48 64 -0.104528463267652
+0 0 1 0 0 54 48 64 -0.309016994374946
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -0.80901699437495
+0 0 0 0 0 4 48 64 -0.978147600733806
+0 0 0 0 0 8 48 64 -0.978147600733805
+0 0 0 0 0 12 48 64 -0.809016994374946
+0 0 0 0 0 16 48 64 -0.499999999999998
+0 0 0 0 0 20 48 64 -0.104528463267652
+0 0 0 0 0 24 48 64 0.309016994374949
+0 0 0 0 0 28 48 64 0.669130606358859
+0 0 0 0 0 32 48 64 0.913545457642601
+0 0 0 0 0 36 48 64 1
+0 0 0 0 0 40 48 64 0.913545457642601
+0 0 0 0 0 44 48 64 0.669130606358859
+0 0 0 0 0 48 48 64 0.309016994374948
+0 0 0 0 0 52 48 64 -0.104528463267652
+0 0 0 0 0 56 48 64 -0.499999999999998
+0 0 0 0 0 60 48 64 -0.809016994374946
+0 0 0 0 0 64 48 64 -0.978147600733805
+0 0 0 0 0 68 48 64 -0.978147600733806
+0 0 0 0 0 72 48 64 -0.809016994374949
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0.652092160040096
+1 0 2 0 0 28 48 64 0.727841974794444
+1 0 2 0 0 29 48 64 0.795486423282123
+1 0 2 0 0 30 48 64 0.854624997757601
+1 0 2 0 0 31 48 64 0.90424397399452
+1 0 2 0 0 32 48 64 0.943955864027138
+1 0 2 0 0 33 48 64 0.973325576078011
+1 0 2 0 0 34 48 64 0.992031329435902
+1 0 2 0 0 35 48 64 0.999868179952591
+1 0 2 0 0 36 48 64 0.996750265453852
+1 0 2 0 0 37 48 64 0.982711746463398
+1 0 2 0 0 38 48 64 0.957906431933036
+1 0 2 0 0 39 48 64 0.922606094079609
+1 0 2 0 0 40 48 64 0.877197490791708
+1 0 2 0 0 41 48 64 0.822178128229317
+1 0 2 0 0 42 48 64 0.758150810042212
+1 0 2 0 0 43 48 64 0.685721284812218
+1 0 2 0 0 44 48 64 0.606416737141736
+1 0 2 0 0 45 48 64 0.51990975962981
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0.712537260498609
+2 0 2 0 0 28 48 64 0.782143171518591
+2 0 2 0 0 29 48 64 0.842503421849285
+2 0 2 0 0 30 48 64 0.894457653188255
+2 0 2 0 0 31 48 64 0.936371849152861
+2 0 2 0 0 32 48 64 0.968007246914543
+2 0 2 0 0 33 48 64 0.989036720714347
+2 0 2 0 0 34 48 64 0.999230101232764
+2 0 2 0 0 35 48 64 0.998475707659735
+2 0 2 0 0 36 48 64 0.98678180528911
+2 0 2 0 0 37 48 64 0.96427651496237
+2 0 2 0 0 38 48 64 0.931206409349868
+2 0 2 0 0 39 48 64 0.88793381144906
+2 0 2 0 0 40 48 64 0.834932824897921
+2 0 2 0 0 41 48 64 0.772784319225626
+2 0 2 0 0 42 48 64 0.702161307036811
+2 0 2 0 0 43 48 64 0.623819046137707
+2 0 2 0 0 44 48 64 0.539429320130588
+2 0 2 0 0 45 48 64 0.448321187221884
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -0.153152737177741
+2 0 1 0 0 20 48 64 0.0560658635089665
+2 0 1 0 0 22 48 64 0.265439379818423
+2 0 1 0 0 24 48 64 0.460472702730666
+2 0 1 0 0 26 48 64 0.635188326034357
+2 0 1 0 0 28 48 64 0.782143171518591
+2 0 1 0 0 30 48 64 0.894457653188255
+2 0 1 0 0 32 48 64 0.968007246914543
+2 0 1 0 0 34 48 64 0.999230101232764
+2 0 1 0 0 36 48 64 0.98678180528911
+2 0 1 0 0 38 48 64 0.931206409349868
+2 0 1 0 0 40 48 64 0.834932824897921
+2 0 1 0 0 42 48 64 0.702161307036811
+2 0 1 0 0 44 48 64 0.539429320130588
+2 0 1 0 0 46 48 64 0.352341222823564
+2 0 1 0 0 48 48 64 0.14985412335838
+2 0 1 0 0 50 48 64 -0.0588902158071822
+2 0 1 0 0 52 48 64 -0.262943097267967
+2 0 1 0 0 54 48 64 -0.458002550729217
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0.767838346957013
+3 0 2 0 0 28 48 64 0.830813061628381
+3 0 2 0 0 29 48 64 0.883965660203441
+3 0 2 0 0 30 48 64 0.928231745259096
+3 0 2 0 0 31 48 64 0.962185115927681
+3 0 2 0 0 32 48 64 0.985536682975331
+3 0 2 0 0 33 48 64 0.998083294142387
+3 0 2 0 0 34 48 64 0.999694628384771
+3 0 2 0 0 35 48 64 0.990353091766641
+3 0 2 0 0 36 48 64 0.970161039430408
+3 0 2 0 0 37 48 64 0.939339699726926
+3 0 2 0 0 38 48 64 0.898226757703766
+3 0 2 0 0 39 48 64 0.847272660970588
+3 0 2 0 0 40 48 64 0.787035645755393
+3 0 2 0 0 41 48 64 0.71817385392246
+3 0 2 0 0 42 48 64 0.641450675100124
+3 0 2 0 0 43 48 64 0.557902494773757
+3 0 2 0 0 44 48 64 0.46908988469054
+3 0 2 0 0 45 48 64 0.374094580664227
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0.818356898888164
+4 0 2 0 0 28 48 64 0.874258690091453
+4 0 2 0 0 29 48 64 0.919616605374787
+4 0 2 0 0 30 48 64 0.955753169232589
+4 0 2 0 0 31 48 64 0.98149901906253
+4 0 2 0 0 32 48 64 0.996423347754506
+4 0 2 0 0 33 48 64 1.00040347987962
+4 0 2 0 0 34 48 64 0.993421012955073
+4 0 2 0 0 35 48 64 0.975554309300249
+4 0 2 0 0 36 48 64 0.946999233759759
+4 0 2 0 0 37 48 64 0.908068636388775
+4 0 2 0 0 38 48 64 0.859189053656596
+4 0 2 0 0 39 48 64 0.800896018294507
+4 0 2 0 0 40 48 64 0.733827648884403
+4 0 2 0 0 41 48 64 0.658718896906553
+4 0 2 0 0 42 48 64 0.576481834532159
+4 0 2 0 0 43 48 64 0.488385047698986
+4 0 2 0 0 44 48 64 0.395091254366549
+4 0 2 0 0 45 48 64 0.296765230340581
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 0.00946894110921837
+4 0 1 0 0 20 48 64 0.218537803326821
+4 0 1 0 0 22 48 64 0.418650950792539
+4 0 1 0 0 24 48 64 0.599682661914628
+4 0 1 0 0 26 48 64 0.753495045369006
+4 0 1 0 0 28 48 64 0.874258690091453
+4 0 1 0 0 30 48 64 0.955753169232589
+4 0 1 0 0 32 48 64 0.996423347754506
+4 0 1 0 0 34 48 64 0.993421012955073
+4 0 1 0 0 36 48 64 0.946999233759759
+4 0 1 0 0 38 48 64 0.859189053656596
+4 0 1 0 0 40 48 64 0.733827648884403
+4 0 1 0 0 42 48 64 0.576481834532159
+4 0 1 0 0 44 48 64 0.395091254366549
+4 0 1 0 0 46 48 64 0.195138346442805
+4 0 1 0 0 48 48 64 -0.0133869194093531
+4 0 1 0 0 50 48 64 -0.220286178759485
+4 0 1 0 0 52 48 64 -0.418048776974342
+4 0 1 0 0 54 48 64 -0.59886287452865
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -0.960194313182036
+4 0 0 0 0 4 48 64 -1.00002486298069
+4 0 0 0 0 8 48 64 -0.866942029029302
+4 0 0 0 0 12 48 64 -0.583957042337672
+4 0 0 0 0 16 48 64 -0.200000577942675
+4 0 0 0 0 20 48 64 0.218537803326821
+4 0 0 0 0 24 48 64 0.599682661914628
+4 0 0 0 0 28 48 64 0.874258690091453
+4 0 0 0 0 32 48 64 0.996423347754506
+4 0 0 0 0 36 48 64 0.946999233759759
+4 0 0 0 0 40 48 64 0.733827648884403
+4 0 0 0 0 44 48 64 0.395091254366549
+4 0 0 0 0 48 48 64 -0.0133869194093531
+4 0 0 0 0 52 48 64 -0.418048776974342
+4 0 0 0 0 56 48 64 -0.754337443542726
+4 0 0 0 0 60 48 64 -0.960194313182036
+4 0 0 0 0 64 48 64 -1.00002486298069
+4 0 0 0 0 68 48 64 -0.866942029029302
+4 0 0 0 0 72 48 64 -0.583957042337672
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0.863080857864445
+5 0 2 0 0 28 48 64 0.911507059728406
+5 0 2 0 0 29 48 64 0.949188318977757
+5 0 2 0 0 30 48 64 0.976888733509116
+5 0 2 0 0 31 48 64 0.994182448285316
+5 0 2 0 0 32 48 64 1.00058799688864
+5 0 2 0 0 33 48 64 0.995980210853877
+5 0 2 0 0 34 48 64 0.980450758399459
+5 0 2 0 0 35 48 64 0.954178341632349
+5 0 2 0 0 36 48 64 0.917451756062889
+5 0 2 0 0 37 48 64 0.870673376378918
+5 0 2 0 0 38 48 64 0.81435573319733
+5 0 2 0 0 39 48 64 0.749115682481537
+5 0 2 0 0 40 48 64 0.675667634771045
+5 0 2 0 0 41 48 64 0.594842133694864
+5 0 2 0 0 42 48 64 0.507749025934065
+5 0 2 0 0 43 48 64 0.415622446206177
+5 0 2 0 0 44 48 64 0.318840791704607
+5 0 2 0 0 45 48 64 0.21793537814662
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0.902277420848438
+6 0 2 0 0 28 48 64 0.942882502932373
+6 0 2 0 0 29 48 64 0.972412123689114
+6 0 2 0 0 30 48 64 0.991546123083707
+6 0 2 0 0 31 48 64 1.00017001541656
+6 0 2 0 0 32 48 64 0.997996518161901
+6 0 2 0 0 33 48 64 0.98484036551818
+6 0 2 0 0 34 48 64 0.960870316368436
+6 0 2 0 0 35 48 64 0.926368505167029
+6 0 2 0 0 36 48 64 0.881717036481362
+6 0 2 0 0 37 48 64 0.827405277050024
+6 0 2 0 0 38 48 64 0.764028291077291
+6 0 2 0 0 39 48 64 0.692280154690188
+6 0 2 0 0 40 48 64 0.612954556812298
+6 0 2 0 0 41 48 64 0.527013907634871
+6 0 2 0 0 42 48 64 0.435718353368949
+6 0 2 0 0 43 48 64 0.340008554948521
+6 0 2 0 0 44 48 64 0.239869375856049
+6 0 2 0 0 45 48 64 0.13699622720815
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0.168776006322144
+6 0 1 0 0 20 48 64 0.372133475094535
+6 0 1 0 0 22 48 64 0.560161183358494
+6 0 1 0 0 24 48 64 0.722690244205063
+6 0 1 0 0 26 48 64 0.851701799503094
+6 0 1 0 0 28 48 64 0.942882502932373
+6 0 1 0 0 30 48 64 0.991546123083707
+6 0 1 0 0 32 48 64 0.997996518161901
+6 0 1 0 0 34 48 64 0.960870316368436
+6 0 1 0 0 36 48 64 0.881717036481362
+6 0 1 0 0 38 48 64 0.764028291077291
+6 0 1 0 0 40 48 64 0.612954556812298
+6 0 1 0 0 42 48 64 0.435718353368949
+6 0 1 0 0 44 48 64 0.239869375856049
+6 0 1 0 0 46 48 64 0.032575120031703
+6 0 1 0 0 48 48 64 -0.176147468774092
+6 0 1 0 0 50 48 64 -0.375654400965706
+6 0 1 0 0 52 48 64 -0.559292752511419
+6 0 1 0 0 54 48 64 -0.720960460862686
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0.935157066970544
+7 0 2 0 0 28 48 64 0.967678508591512
+7 0 2 0 0 29 48 64 0.989073313311007
+7 0 2 0 0 30 48 64 0.999631326766317
+7 0 2 0 0 31 48 64 0.999460126630504
+7 0 2 0 0 32 48 64 0.988667752179015
+7 0 2 0 0 33 48 64 0.967054580657518
+7 0 2 0 0 34 48 64 0.934810046347357
+7 0 2 0 0 35 48 64 0.892311428887473
+7 0 2 0 0 36 48 64 0.840035232841803
+7 0 2 0 0 37 48 64 0.77855530029622
+7 0 2 0 0 38 48 64 0.708545326065141
+7 0 2 0 0 39 48 64 0.630774331113888
+7 0 2 0 0 40 48 64 0.546130641432821
+7 0 2 0 0 41 48 64 0.455730373973979
+7 0 2 0 0 42 48 64 0.360828550803743
+7 0 2 0 0 43 48 64 0.261977116580495
+7 0 2 0 0 44 48 64 0.159764323137717
+7 0 2 0 0 45 48 64 0.0556629861513258
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0.96192329650925
+8 0 2 0 0 28 48 64 0.986130580409771
+8 0 2 0 0 29 48 64 0.999026374192475
+8 0 2 0 0 30 48 64 1.00105573248454
+8 0 2 0 0 31 48 64 0.992095824475747
+8 0 2 0 0 32 48 64 0.97268039635013
+8 0 2 0 0 33 48 64 0.942739338245173
+8 0 2 0 0 34 48 64 0.90244286716942
+8 0 2 0 0 35 48 64 0.8522355863469
+8 0 2 0 0 36 48 64 0.792686572127978
+8 0 2 0 0 37 48 64 0.724452046902699
+8 0 2 0 0 38 48 64 0.648280932863034
+8 0 2 0 0 39 48 64 0.565020767311049
+8 0 2 0 0 40 48 64 0.475677377259886
+8 0 2 0 0 41 48 64 0.381483721522068
+8 0 2 0 0 42 48 64 0.283492014979283
+8 0 2 0 0 43 48 64 0.182060482493347
+8 0 2 0 0 44 48 64 0.0779965281106643
+8 0 2 0 0 45 48 64 -0.0266821614757993
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0.328248253886322
+8 0 1 0 0 20 48 64 0.520437505842568
+8 0 1 0 0 22 48 64 0.686558254517527
+8 0 1 0 0 24 48 64 0.826029496202072
+8 0 1 0 0 26 48 64 0.927032234396808
+8 0 1 0 0 28 48 64 0.986130580409771
+8 0 1 0 0 30 48 64 1.00105573248454
+8 0 1 0 0 32 48 64 0.97268039635013
+8 0 1 0 0 34 48 64 0.90244286716942
+8 0 1 0 0 36 48 64 0.792686572127978
+8 0 1 0 0 38 48 64 0.648280932863034
+8 0 1 0 0 40 48 64 0.475677377259886
+8 0 1 0 0 42 48 64 0.283492014979283
+8 0 1 0 0 44 48 64 0.0779965281106643
+8 0 1 0 0 46 48 64 -0.130993442648111
+8 0 1 0 0 48 48 64 -0.334018173897133
+8 0 1 0 0 50 48 64 -0.521176983130942
+8 0 1 0 0 52 48 64 -0.690192607170984
+8 0 1 0 0 54 48 64 -0.828256805155403
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -1.01261353571613
+8 0 0 0 0 4 48 64 -0.918429341288023
+8 0 0 0 0 8 48 64 -0.665440370082583
+8 0 0 0 0 12 48 64 -0.297390713553889
+8 0 0 0 0 16 48 64 0.122074720619755
+8 0 0 0 0 20 48 64 0.520437505842568
+8 0 0 0 0 24 48 64 0.826029496202072
+8 0 0 0 0 28 48 64 0.986130580409771
+8 0 0 0 0 32 48 64 0.97268039635013
+8 0 0 0 0 36 48 64 0.792686572127978
+8 0 0 0 0 40 48 64 0.475677377259886
+8 0 0 0 0 44 48 64 0.0779965281106643
+8 0 0 0 0 48 48 64 -0.334018173897133
+8 0 0 0 0 52 48 64 -0.690192607170984
+8 0 0 0 0 56 48 64 -0.931696739074834
+8 0 0 0 0 60 48 64 -1.01261353571613
+8 0 0 0 0 64 48 64 -0.918429341288023
+8 0 0 0 0 68 48 64 -0.665440370082583
+8 0 0 0 0 72 48 64 -0.297390713553889
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0.982041790020546
+9 0 2 0 0 28 48 64 0.997821627013927
+9 0 2 0 0 29 48 64 1.00221113892464
+9 0 2 0 0 30 48 64 0.995749974599125
+9 0 2 0 0 31 48 64 0.978141590354985
+9 0 2 0 0 32 48 64 0.950171427964781
+9 0 2 0 0 33 48 64 0.912061173907253
+9 0 2 0 0 34 48 64 0.86398344111805
+9 0 2 0 0 35 48 64 0.806409357806599
+9 0 2 0 0 36 48 64 0.739989306160126
+9 0 2 0 0 37 48 64 0.665459683763108
+9 0 2 0 0 38 48 64 0.583643992493707
+9 0 2 0 0 39 48 64 0.495480094073371
+9 0 2 0 0 40 48 64 0.402100259879894
+9 0 2 0 0 41 48 64 0.304741946263263
+9 0 2 0 0 42 48 64 0.204155963106931
+9 0 2 0 0 43 48 64 0.100822910163676
+9 0 2 0 0 44 48 64 -0.00374196613584453
+9 0 2 0 0 45 48 64 -0.108255978175149
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0.995626892704682
+10 0 2 0 0 28 48 64 1.00289067886172
+10 0 2 0 0 29 48 64 0.998629361807419
+10 0 2 0 0 30 48 64 0.983703688756079
+10 0 2 0 0 31 48 64 0.957671710875212
+10 0 2 0 0 32 48 64 0.921323607599019
+10 0 2 0 0 33 48 64 0.875239868109855
+10 0 2 0 0 34 48 64 0.819688724802438
+10 0 2 0 0 35 48 64 0.755138900795626
+10 0 2 0 0 36 48 64 0.682297302925288
+10 0 2 0 0 37 48 64 0.601976112186807
+10 0 2 0 0 38 48 64 0.515078117366447
+10 0 2 0 0 39 48 64 0.422646392229639
+10 0 2 0 0 40 48 64 0.325906491155959
+10 0 2 0 0 41 48 64 0.225954172827383
+10 0 2 0 0 42 48 64 0.123314203561963
+10 0 2 0 0 43 48 64 0.0188757316297579
+10 0 2 0 0 44 48 64 -0.0860151739648977
+10 0 2 0 0 45 48 64 -0.189701233260608
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0.475517805060977
+10 0 1 0 0 20 48 64 0.651461122954854
+10 0 1 0 0 22 48 64 0.794974039443221
+10 0 1 0 0 24 48 64 0.906826956671412
+10 0 1 0 0 26 48 64 0.977255907664103
+10 0 1 0 0 28 48 64 1.00289067886172
+10 0 1 0 0 30 48 64 0.983703688756079
+10 0 1 0 0 32 48 64 0.921323607599019
+10 0 1 0 0 34 48 64 0.819688724802438
+10 0 1 0 0 36 48 64 0.682297302925288
+10 0 1 0 0 38 48 64 0.515078117366447
+10 0 1 0 0 40 48 64 0.325906491155959
+10 0 1 0 0 42 48 64 0.123314203561963
+10 0 1 0 0 44 48 64 -0.0860151739648977
+10 0 1 0 0 46 48 64 -0.291123030062641
+10 0 1 0 0 48 48 64 -0.482848915424869
+10 0 1 0 0 50 48 64 -0.653561157380738
+10 0 1 0 0 52 48 64 -0.80019078007694
+10 0 1 0 0 54 48 64 -0.911377386311673
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 1.0024098470452
+11 0 2 0 0 28 48 64 1.00116316821695
+11 0 2 0 0 29 48 64 0.988330225025783
+11 0 2 0 0 30 48 64 0.964980082990926
+11 0 2 0 0 31 48 64 0.930778532668518
+11 0 2 0 0 32 48 64 0.886347535654418
+11 0 2 0 0 33 48 64 0.83254633686221
+11 0 2 0 0 34 48 64 0.769859698202626
+11 0 2 0 0 35 48 64 0.698766531486278
+11 0 2 0 0 36 48 64 0.619997631692982
+11 0 2 0 0 37 48 64 0.534431749831776
+11 0 2 0 0 38 48 64 0.443060625289589
+11 0 2 0 0 39 48 64 0.347035118918999
+11 0 2 0 0 40 48 64 0.247587644694163
+11 0 2 0 0 41 48 64 0.145576423566375
+11 0 2 0 0 42 48 64 0.0415333230700713
+11 0 2 0 0 43 48 64 -0.0632033662365208
+11 0 2 0 0 44 48 64 -0.167143345146131
+11 0 2 0 0 45 48 64 -0.269250498670448
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 1.00239809846934
+12 0 2 0 0 28 48 64 0.992697284325003
+12 0 2 0 0 29 48 64 0.971390702838927
+12 0 2 0 0 30 48 64 0.939718596829898
+12 0 2 0 0 31 48 64 0.897594192172283
+12 0 2 0 0 32 48 64 0.845468744204569
+12 0 2 0 0 33 48 64 0.784293295679688
+12 0 2 0 0 34 48 64 0.714842588697112
+12 0 2 0 0 35 48 64 0.637670477359112
+12 0 2 0 0 36 48 64 0.553508979812572
+12 0 2 0 0 37 48 64 0.463288908237392
+12 0 2 0 0 38 48 64 0.368098180022498
+12 0 2 0 0 39 48 64 0.269166321254674
+12 0 2 0 0 40 48 64 0.167618269760124
+12 0 2 0 0 41 48 64 0.0641028596382389
+12 0 2 0 0 42 48 64 -0.0405917178060505
+12 0 2 0 0 43 48 64 -0.144833388838647
+12 0 2 0 0 44 48 64 -0.247686396422999
+12 0 2 0 0 45 48 64 -0.347546982404728
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0.614449185908522
+12 0 1 0 0 20 48 64 0.769200583970082
+12 0 1 0 0 22 48 64 0.882810744167387
+12 0 1 0 0 24 48 64 0.963122648374049
+12 0 1 0 0 26 48 64 1.0008577016737
+12 0 1 0 0 28 48 64 0.992697284325003
+12 0 1 0 0 30 48 64 0.939718596829898
+12 0 1 0 0 32 48 64 0.845468744204569
+12 0 1 0 0 34 48 64 0.714842588697112
+12 0 1 0 0 36 48 64 0.553508979812572
+12 0 1 0 0 38 48 64 0.368098180022498
+12 0 1 0 0 40 48 64 0.167618269760124
+12 0 1 0 0 42 48 64 -0.0405917178060505
+12 0 1 0 0 44 48 64 -0.247686396422999
+12 0 1 0 0 46 48 64 -0.443428129799051
+12 0 1 0 0 48 48 64 -0.619042140638918
+12 0 1 0 0 50 48 64 -0.76949424761098
+12 0 1 0 0 52 48 64 -0.892806458187986
+12 0 1 0 0 54 48 64 -0.973582620007537
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -0.960394151063863
+12 0 0 0 0 4 48 64 -0.741330545888005
+12 0 0 0 0 8 48 64 -0.394089275247676
+12 0 0 0 0 12 48 64 0.0212925128153117
+12 0 0 0 0 16 48 64 0.432992480191392
+12 0 0 0 0 20 48 64 0.769200583970082
+12 0 0 0 0 24 48 64 0.963122648374049
+12 0 0 0 0 28 48 64 0.992697284325003
+12 0 0 0 0 32 48 64 0.845468744204569
+12 0 0 0 0 36 48 64 0.553508979812572
+12 0 0 0 0 40 48 64 0.167618269760124
+12 0 0 0 0 44 48 64 -0.247686396422999
+12 0 0 0 0 48 48 64 -0.619042140638918
+12 0 0 0 0 52 48 64 -0.892806458187986
+12 0 0 0 0 56 48 64 -1.01353474036574
+12 0 0 0 0 60 48 64 -0.960394151063863
+12 0 0 0 0 64 48 64 -0.741330545888005
+12 0 0 0 0 68 48 64 -0.394089275247676
+12 0 0 0 0 72 48 64 0.0212925128153117
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 0.99560294218215
+13 0 2 0 0 28 48 64 0.977540767749167
+13 0 2 0 0 29 48 64 0.947916649506654
+13 0 2 0 0 30 48 64 0.908114813712805
+13 0 2 0 0 31 48 64 0.858312306342724
+13 0 2 0 0 32 48 64 0.798928015543527
+13 0 2 0 0 33 48 64 0.730821576655587
+13 0 2 0 0 34 48 64 0.655027160586663
+13 0 2 0 0 35 48 64 0.572266331095453
+13 0 2 0 0 36 48 64 0.483281863637528
+13 0 2 0 0 37 48 64 0.389040969660256
+13 0 2 0 0 38 48 64 0.290717816893885
+13 0 2 0 0 39 48 64 0.189550810627976
+13 0 2 0 0 40 48 64 0.0864729087152018
+13 0 2 0 0 41 48 64 -0.0179187442377169
+13 0 2 0 0 42 48 64 -0.122449276804505
+13 0 2 0 0 43 48 64 -0.225477919008779
+13 0 2 0 0 44 48 64 -0.326022985890077
+13 0 2 0 0 45 48 64 -0.422935967424904
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 0.981938405414873
+14 0 2 0 0 28 48 64 0.955677704968347
+14 0 2 0 0 29 48 64 0.918045216209884
+14 0 2 0 0 30 48 64 0.870401256411996
+14 0 2 0 0 31 48 64 0.813197067992273
+14 0 2 0 0 32 48 64 0.746995537174318
+14 0 2 0 0 33 48 64 0.672488915549894
+14 0 2 0 0 34 48 64 0.590840589492819
+14 0 2 0 0 35 48 64 0.50300923744158
+14 0 2 0 0 36 48 64 0.409800751689934
+14 0 2 0 0 37 48 64 0.31220983458981
+14 0 2 0 0 38 48 64 0.211454832424503
+14 0 2 0 0 39 48 64 0.108687467676567
+14 0 2 0 0 40 48 64 0.00465214587273507
+14 0 2 0 0 41 48 64 -0.0998938317889886
+14 0 2 0 0 42 48 64 -0.203457474729843
+14 0 2 0 0 43 48 64 -0.304587743427412
+14 0 2 0 0 44 48 64 -0.402693560849173
+14 0 2 0 0 45 48 64 -0.496002743530245
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0.73401758257233
+14 0 1 0 0 20 48 64 0.86343347833903
+14 0 1 0 0 22 48 64 0.947791058684445
+14 0 1 0 0 24 48 64 0.993691924156228
+14 0 1 0 0 26 48 64 0.997191816847884
+14 0 1 0 0 28 48 64 0.955677704968347
+14 0 1 0 0 30 48 64 0.870401256411996
+14 0 1 0 0 32 48 64 0.746995537174318
+14 0 1 0 0 34 48 64 0.590840589492819
+14 0 1 0 0 36 48 64 0.409800751689934
+14 0 1 0 0 38 48 64 0.211454832424503
+14 0 1 0 0 40 48 64 0.00465214587273507
+14 0 1 0 0 42 48 64 -0.203457474729843
+14 0 1 0 0 44 48 64 -0.402693560849173
+14 0 1 0 0 46 48 64 -0.583826710164907
+14 0 1 0 0 48 48 64 -0.73935674588387
+14 0 1 0 0 50 48 64 -0.866065439805535
+14 0 1 0 0 52 48 64 -0.959838599341511
+14 0 1 0 0 54 48 64 -1.00884880896578
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 0.961721203250184
+15 0 2 0 0 28 48 64 0.927424223762713
+15 0 2 0 0 29 48 64 0.881955467177016
+15 0 2 0 0 30 48 64 0.826835902820055
+15 0 2 0 0 31 48 64 0.762576139280204
+15 0 2 0 0 32 48 64 0.689990820496061
+15 0 2 0 0 33 48 64 0.609667917953255
+15 0 2 0 0 34 48 64 0.522737898953427
+15 0 2 0 0 35 48 64 0.430394329529824
+15 0 2 0 0 36 48 64 0.333586288568291
+15 0 2 0 0 37 48 64 0.23334006550494
+15 0 2 0 0 38 48 64 0.130841775364149
+15 0 2 0 0 39 48 64 0.0270743117287397
+15 0 2 0 0 40 48 64 -0.077297875846536
+15 0 2 0 0 41 48 64 -0.181207601383019
+15 0 2 0 0 42 48 64 -0.283051904339701
+15 0 2 0 0 43 48 64 -0.38164353352449
+15 0 2 0 0 44 48 64 -0.476138689292722
+15 0 2 0 0 45 48 64 -0.565248090962559
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 0.934772344794599
+16 0 2 0 0 28 48 64 0.892674948205542
+16 0 2 0 0 29 48 64 0.839873930317591
+16 0 2 0 0 30 48 64 0.777700602875452
+16 0 2 0 0 31 48 64 0.70682269185621
+16 0 2 0 0 32 48 64 0.628296192203243
+16 0 2 0 0 33 48 64 0.542754821192038
+16 0 2 0 0 34 48 64 0.451192387393211
+16 0 2 0 0 35 48 64 0.354952282846577
+16 0 2 0 0 36 48 64 0.255193715754225
+16 0 2 0 0 37 48 64 0.152989208829656
+16 0 2 0 0 38 48 64 0.0494032736306348
+16 0 2 0 0 39 48 64 -0.0547729666077681
+16 0 2 0 0 40 48 64 -0.15878601917345
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+16 0 2 0 0 42 48 64 -0.360701827876374
+16 0 2 0 0 43 48 64 -0.456109819162745
+16 0 2 0 0 44 48 64 -0.546878181889912
+16 0 2 0 0 45 48 64 -0.631186316868396
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0.837422652649741
+16 0 1 0 0 20 48 64 0.937567276244771
+16 0 1 0 0 22 48 64 0.987954072432176
+16 0 1 0 0 24 48 64 0.998082503394626
+16 0 1 0 0 26 48 64 0.966530474865694
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+16 0 1 0 0 30 48 64 0.777700602875452
+16 0 1 0 0 32 48 64 0.628296192203243
+16 0 1 0 0 34 48 64 0.451192387393211
+16 0 1 0 0 36 48 64 0.255193715754225
+16 0 1 0 0 38 48 64 0.0494032736306348
+16 0 1 0 0 40 48 64 -0.15878601917345
+16 0 1 0 0 42 48 64 -0.360701827876374
+16 0 1 0 0 44 48 64 -0.546878181889912
+16 0 1 0 0 46 48 64 -0.708736095379762
+16 0 1 0 0 48 48 64 -0.840940531275371
+16 0 1 0 0 50 48 64 -0.940534147636428
+16 0 1 0 0 52 48 64 -1.00402088425839
+16 0 1 0 0 54 48 64 -1.01910860380281
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -0.808506725061733
+16 0 0 0 0 4 48 64 -0.48662974827039
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+16 0 0 0 0 12 48 64 0.339237876067223
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+16 0 0 0 0 28 48 64 0.892674948205542
+16 0 0 0 0 32 48 64 0.628296192203243
+16 0 0 0 0 36 48 64 0.255193715754225
+16 0 0 0 0 40 48 64 -0.15878601917345
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+16 0 0 0 0 48 48 64 -0.840940531275371
+16 0 0 0 0 52 48 64 -1.00402088425839
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+16 0 0 0 0 60 48 64 -0.808506725061733
+16 0 0 0 0 64 48 64 -0.48662974827039
+16 0 0 0 0 68 48 64 -0.080667862324009
+16 0 0 0 0 72 48 64 0.339237876067223
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 0.90174022789449
+17 0 2 0 0 28 48 64 0.852059809395127
+17 0 2 0 0 29 48 64 0.792074593142078
+17 0 2 0 0 30 48 64 0.723311830606229
+17 0 2 0 0 31 48 64 0.646336488551725
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+17 0 2 0 0 36 48 64 0.175203161298201
+17 0 2 0 0 37 48 64 0.0717156581343025
+17 0 2 0 0 38 48 64 -0.0323414115454555
+17 0 2 0 0 39 48 64 -0.136307747377063
+17 0 2 0 0 40 48 64 -0.239199358264664
+17 0 2 0 0 41 48 64 -0.339467529035111
+17 0 2 0 0 42 48 64 -0.435883424103128
+17 0 2 0 0 43 48 64 -0.52749067445602
+17 0 2 0 0 44 48 64 -0.613463075183283
+17 0 2 0 0 45 48 64 -0.692502664456651
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 0.862335155792632
+18 0 2 0 0 28 48 64 0.805368830298702
+18 0 2 0 0 29 48 64 0.738881349833186
+18 0 2 0 0 30 48 64 0.664021568930523
+18 0 2 0 0 31 48 64 0.581531906741246
+18 0 2 0 0 32 48 64 0.492651577385906
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+18 0 2 0 0 34 48 64 0.299728470203777
+18 0 2 0 0 35 48 64 0.197813576927249
+18 0 2 0 0 36 48 64 0.0942002439033824
+18 0 2 0 0 37 48 64 -0.00993289553755677
+18 0 2 0 0 38 48 64 -0.113870975903143
+18 0 2 0 0 39 48 64 -0.216955745558269
+18 0 2 0 0 40 48 64 -0.317939259950435
+18 0 2 0 0 41 48 64 -0.415315734559774
+18 0 2 0 0 42 48 64 -0.50809911566015
+18 0 2 0 0 43 48 64 -0.595294206514623
+18 0 2 0 0 44 48 64 -0.67637635699199
+18 0 2 0 0 45 48 64 -0.749643592735675
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0.916254933910178
+18 0 1 0 0 20 48 64 0.984600466315942
+18 0 1 0 0 22 48 64 1.0019574432366
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+18 0 1 0 0 32 48 64 0.492651577385906
+18 0 1 0 0 34 48 64 0.299728470203777
+18 0 1 0 0 36 48 64 0.0942002439033824
+18 0 1 0 0 38 48 64 -0.113870975903143
+18 0 1 0 0 40 48 64 -0.317939259950435
+18 0 1 0 0 42 48 64 -0.50809911566015
+18 0 1 0 0 44 48 64 -0.67637635699199
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+18 0 1 0 0 48 48 64 -0.921161200086322
+18 0 1 0 0 50 48 64 -0.990799287972525
+18 0 1 0 0 52 48 64 -1.02069556005803
+18 0 1 0 0 54 48 64 -1.0024061169553
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 0.817505989485368
+19 0 2 0 0 28 48 64 0.753543213089395
+19 0 2 0 0 29 48 64 0.680657253380708
+19 0 2 0 0 30 48 64 0.600224906721968
+19 0 2 0 0 31 48 64 0.512834517417482
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+19 0 2 0 0 37 48 64 -0.0914270217833792
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+19 0 2 0 0 39 48 64 -0.296136177240982
+19 0 2 0 0 40 48 64 -0.394452934088763
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+19 0 2 0 0 42 48 64 -0.576865875786502
+19 0 2 0 0 43 48 64 -0.659085911630735
+19 0 2 0 0 44 48 64 -0.734360673280981
+19 0 2 0 0 45 48 64 -0.801505230793962
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 0.766863731888126
+20 0 2 0 0 28 48 64 0.696269223709497
+20 0 2 0 0 29 48 64 0.617810423444884
+20 0 2 0 0 30 48 64 0.532345335477203
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+20 0 2 0 0 36 48 64 -0.0686198966170856
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+20 0 2 0 0 41 48 64 -0.558005307493884
+20 0 2 0 0 42 48 64 -0.641742317718813
+20 0 2 0 0 43 48 64 -0.718451464242687
+20 0 2 0 0 44 48 64 -0.787835142061939
+20 0 2 0 0 45 48 64 -0.848451602433392
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0.972782908905843
+20 0 1 0 0 20 48 64 1.00686688567633
+20 0 1 0 0 22 48 64 0.989164888625441
+20 0 1 0 0 24 48 64 0.928990790009522
+20 0 1 0 0 26 48 64 0.829484160109913
+20 0 1 0 0 28 48 64 0.696269223709497
+20 0 1 0 0 30 48 64 0.532345335477203
+20 0 1 0 0 32 48 64 0.343963988319003
+20 0 1 0 0 34 48 64 0.140493942577944
+20 0 1 0 0 36 48 64 -0.0686198966170856
+20 0 1 0 0 38 48 64 -0.274158811599153
+20 0 1 0 0 40 48 64 -0.468246207229631
+20 0 1 0 0 42 48 64 -0.641742317718813
+20 0 1 0 0 44 48 64 -0.787835142061939
+20 0 1 0 0 46 48 64 -0.900488954322047
+20 0 1 0 0 48 48 64 -0.977775461117985
+20 0 1 0 0 50 48 64 -1.01529779359541
+20 0 1 0 0 52 48 64 -1.01141521103396
+20 0 1 0 0 54 48 64 -0.959215413357919
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -0.572332234155114
+20 0 0 0 0 4 48 64 -0.180366334741459
+20 0 0 0 0 8 48 64 0.242554244435876
+20 0 0 0 0 12 48 64 0.623460950770192
+20 0 0 0 0 16 48 64 0.895624794782882
+20 0 0 0 0 20 48 64 1.00686688567633
+20 0 0 0 0 24 48 64 0.928990790009522
+20 0 0 0 0 28 48 64 0.696269223709497
+20 0 0 0 0 32 48 64 0.343963988319003
+20 0 0 0 0 36 48 64 -0.0686198966170856
+20 0 0 0 0 40 48 64 -0.468246207229631
+20 0 0 0 0 44 48 64 -0.787835142061939
+20 0 0 0 0 48 48 64 -0.977775461117985
+20 0 0 0 0 52 48 64 -1.01141521103396
+20 0 0 0 0 56 48 64 -0.866427303840707
+20 0 0 0 0 60 48 64 -0.572332234155114
+20 0 0 0 0 64 48 64 -0.180366334741459
+20 0 0 0 0 68 48 64 0.242554244435876
+20 0 0 0 0 72 48 64 0.623460950770192
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 0.711587885009048
+21 0 2 0 0 28 48 64 0.634751910688755
+21 0 2 0 0 29 48 64 0.550777408390727
+21 0 2 0 0 30 48 64 0.460839679781548
+21 0 2 0 0 31 48 64 0.365536420068411
+21 0 2 0 0 32 48 64 0.265962076756949
+21 0 2 0 0 33 48 64 0.163417184769877
+21 0 2 0 0 34 48 64 0.0592856197155497
+21 0 2 0 0 35 48 64 -0.0453512371004205
+21 0 2 0 0 36 48 64 -0.149436229380878
+21 0 2 0 0 37 48 64 -0.251927936981575
+21 0 2 0 0 38 48 64 -0.351840954083993
+21 0 2 0 0 39 48 64 -0.447899679137607
+21 0 2 0 0 40 48 64 -0.538873605799782
+21 0 2 0 0 41 48 64 -0.623961138592089
+21 0 2 0 0 42 48 64 -0.7023168445837
+21 0 2 0 0 43 48 64 -0.773035815404877
+21 0 2 0 0 44 48 64 -0.835784872814775
+21 0 2 0 0 45 48 64 -0.889608486226098
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 0.651221781499481
+22 0 2 0 0 28 48 64 0.568589591183921
+22 0 2 0 0 29 48 64 0.480034767658814
+22 0 2 0 0 30 48 64 0.386182165696113
+22 0 2 0 0 31 48 64 0.287871986611181
+22 0 2 0 0 32 48 64 0.186164187426243
+22 0 2 0 0 33 48 64 0.0822915494007708
+22 0 2 0 0 34 48 64 -0.0222680070528811
+22 0 2 0 0 35 48 64 -0.126383091997569
+22 0 2 0 0 36 48 64 -0.229258325294379
+22 0 2 0 0 37 48 64 -0.32995101116659
+22 0 2 0 0 38 48 64 -0.427171435543466
+22 0 2 0 0 39 48 64 -0.51948762640656
+22 0 2 0 0 40 48 64 -0.605914161160702
+22 0 2 0 0 41 48 64 -0.68576798659225
+22 0 2 0 0 42 48 64 -0.758220532951533
+22 0 2 0 0 43 48 64 -0.822505945120262
+22 0 2 0 0 44 48 64 -0.878548162379518
+22 0 2 0 0 45 48 64 -0.925245934001584
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 1.00228765174137
+22 0 1 0 0 20 48 64 1.00158625096505
+22 0 1 0 0 22 48 64 0.949839213518876
+22 0 1 0 0 24 48 64 0.857149285106018
+22 0 1 0 0 26 48 64 0.727346271739271
+22 0 1 0 0 28 48 64 0.568589591183921
+22 0 1 0 0 30 48 64 0.386182165696113
+22 0 1 0 0 32 48 64 0.186164187426243
+22 0 1 0 0 34 48 64 -0.0222680070528811
+22 0 1 0 0 36 48 64 -0.229258325294379
+22 0 1 0 0 38 48 64 -0.427171435543466
+22 0 1 0 0 40 48 64 -0.605914161160702
+22 0 1 0 0 42 48 64 -0.758220532951533
+22 0 1 0 0 44 48 64 -0.878548162379518
+22 0 1 0 0 46 48 64 -0.962724645450066
+22 0 1 0 0 48 48 64 -1.00902063582232
+22 0 1 0 0 50 48 64 -1.01323961794376
+22 0 1 0 0 52 48 64 -0.975724755484069
+22 0 1 0 0 54 48 64 -0.891992033819425
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 0.587091983047543
+23 0 2 0 0 28 48 64 0.499174325628247
+23 0 2 0 0 29 48 64 0.406078763302986
+23 0 2 0 0 30 48 64 0.308881225704923
+23 0 2 0 0 31 48 64 0.208195793367106
+23 0 2 0 0 32 48 64 0.105063782408282
+23 0 2 0 0 33 48 64 0.000640835144430994
+23 0 2 0 0 34 48 64 -0.103642415563897
+23 0 2 0 0 35 48 64 -0.206623607997699
+23 0 2 0 0 36 48 64 -0.307653804663775
+23 0 2 0 0 37 48 64 -0.40583311398007
+23 0 2 0 0 38 48 64 -0.49963305309917
+23 0 2 0 0 39 48 64 -0.587599448384858
+23 0 2 0 0 40 48 64 -0.668947403816014
+23 0 2 0 0 41 48 64 -0.74302807433224
+23 0 2 0 0 42 48 64 -0.809107493501509
+23 0 2 0 0 43 48 64 -0.866577763097941
+23 0 2 0 0 44 48 64 -0.915348931968992
+23 0 2 0 0 45 48 64 -0.954708331464462
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 0.518701463873624
+24 0 2 0 0 28 48 64 0.426042093877317
+24 0 2 0 0 29 48 64 0.329441102568435
+24 0 2 0 0 30 48 64 0.22946791883034
+24 0 2 0 0 31 48 64 0.12704476351235
+24 0 2 0 0 32 48 64 0.0231829263246411
+24 0 2 0 0 33 48 64 -0.0810290222758227
+24 0 2 0 0 34 48 64 -0.18433009061385
+24 0 2 0 0 35 48 64 -0.285600061689527
+24 0 2 0 0 36 48 64 -0.384163760838534
+24 0 2 0 0 37 48 64 -0.479069872365065
+24 0 2 0 0 38 48 64 -0.568724194061393
+24 0 2 0 0 39 48 64 -0.651782590255417
+24 0 2 0 0 40 48 64 -0.727542779053214
+24 0 2 0 0 41 48 64 -0.79535879883248
+24 0 2 0 0 42 48 64 -0.854662299685602
+24 0 2 0 0 43 48 64 -0.904986748717067
+24 0 2 0 0 44 48 64 -0.946445874512255
+24 0 2 0 0 45 48 64 -0.978182935539912
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 1.00576475370118
+24 0 1 0 0 20 48 64 0.969685323302402
+24 0 1 0 0 22 48 64 0.885059416398537
+24 0 1 0 0 24 48 64 0.762519750258225
+24 0 1 0 0 26 48 64 0.606368594152007
+24 0 1 0 0 28 48 64 0.426042093877317
+24 0 1 0 0 30 48 64 0.22946791883034
+24 0 1 0 0 32 48 64 0.0231829263246411
+24 0 1 0 0 34 48 64 -0.18433009061385
+24 0 1 0 0 36 48 64 -0.384163760838534
+24 0 1 0 0 38 48 64 -0.568724194061393
+24 0 1 0 0 40 48 64 -0.727542779053214
+24 0 1 0 0 42 48 64 -0.854662299685602
+24 0 1 0 0 44 48 64 -0.946445874512255
+24 0 1 0 0 46 48 64 -1.00019571850314
+24 0 1 0 0 48 48 64 -1.01383148617189
+24 0 1 0 0 50 48 64 -0.984554814528573
+24 0 1 0 0 52 48 64 -0.913775887309053
+24 0 1 0 0 54 48 64 -0.799569659056028
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -0.276052789602827
+24 0 0 0 0 4 48 64 0.145922288636694
+24 0 0 0 0 8 48 64 0.5421196084283
+24 0 0 0 0 12 48 64 0.84415006067416
+24 0 0 0 0 16 48 64 0.997520493119868
+24 0 0 0 0 20 48 64 0.969685323302402
+24 0 0 0 0 24 48 64 0.762519750258225
+24 0 0 0 0 28 48 64 0.426042093877317
+24 0 0 0 0 32 48 64 0.0231829263246411
+24 0 0 0 0 36 48 64 -0.384163760838534
+24 0 0 0 0 40 48 64 -0.727542779053214
+24 0 0 0 0 44 48 64 -0.946445874512255
+24 0 0 0 0 48 48 64 -1.01383148617189
+24 0 0 0 0 52 48 64 -0.913775887309053
+24 0 0 0 0 56 48 64 -0.651519730844525
+24 0 0 0 0 60 48 64 -0.276052789602827
+24 0 0 0 0 64 48 64 0.145922288636694
+24 0 0 0 0 68 48 64 0.5421196084283
+24 0 0 0 0 72 48 64 0.84415006067416
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/phi.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/phi.yl
new file mode 100644
index 000000000..5b9c5097b
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/phi.yl
@@ -0,0 +1,1397 @@
+# SPACETIMETOY::phi y (phi)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0.800541240924359
+0 0 2 0 0 36 40 64 0.84125353283118
+0 0 2 0 0 36 41 64 0.877678989567255
+0 0 2 0 0 36 42 64 0.909631995354518
+0 0 2 0 0 36 43 64 0.936949724999761
+0 0 2 0 0 36 44 64 0.959492973614497
+0 0 2 0 0 36 45 64 0.977146865971159
+0 0 2 0 0 36 46 64 0.989821441880933
+0 0 2 0 0 36 47 64 0.997452114610254
+0 0 2 0 0 36 48 64 1
+0 0 2 0 0 36 49 64 0.997452114610254
+0 0 2 0 0 36 50 64 0.989821441880933
+0 0 2 0 0 36 51 64 0.977146865971159
+0 0 2 0 0 36 52 64 0.959492973614497
+0 0 2 0 0 36 53 64 0.936949724999761
+0 0 2 0 0 36 54 64 0.909631995354518
+0 0 2 0 0 36 55 64 0.877678989567255
+0 0 2 0 0 36 56 64 0.84125353283118
+0 0 2 0 0 36 57 64 0.800541240924359
+0 0 2 0 0 36 58 64 0.755749574354257
+0 0 2 0 0 36 59 64 0.707106781186546
+0 0 2 0 0 36 60 64 0.654860733945283
+0 0 2 0 0 36 61 64 0.599277666511345
+0 0 2 0 0 36 62 64 0.540640817455595
+0 0 2 0 0 36 63 64 0.479248986720054
+0 0 2 0 0 36 64 64 0.415415013001883
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 -4.82375099065957e-15
+0 0 1 0 0 36 28 64 0.142314838273281
+0 0 1 0 0 36 30 64 0.281732556841426
+0 0 1 0 0 36 32 64 0.415415013001883
+0 0 1 0 0 36 34 64 0.540640817455595
+0 0 1 0 0 36 36 64 0.654860733945283
+0 0 1 0 0 36 38 64 0.755749574354257
+0 0 1 0 0 36 40 64 0.84125353283118
+0 0 1 0 0 36 42 64 0.909631995354518
+0 0 1 0 0 36 44 64 0.959492973614497
+0 0 1 0 0 36 46 64 0.989821441880933
+0 0 1 0 0 36 48 64 1
+0 0 1 0 0 36 50 64 0.989821441880933
+0 0 1 0 0 36 52 64 0.959492973614497
+0 0 1 0 0 36 54 64 0.909631995354518
+0 0 1 0 0 36 56 64 0.84125353283118
+0 0 1 0 0 36 58 64 0.755749574354257
+0 0 1 0 0 36 60 64 0.654860733945283
+0 0 1 0 0 36 62 64 0.540640817455595
+0 0 1 0 0 36 64 64 0.415415013001883
+0 0 1 0 0 36 66 64 0.281732556841426
+0 0 1 0 0 36 68 64 0.142314838273281
+0 0 1 0 0 36 70 64 -5.0457955955846e-15
+0 0 1 0 0 36 72 64 -0.142314838273291
+0 0 1 0 0 36 74 64 -0.281732556841435
+0 0 1 0 0 36 76 64 -0.415415013001892
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -0.959492973614494
+0 0 0 0 0 36 4 64 -1
+0 0 0 0 0 36 8 64 -0.9594929736145
+0 0 0 0 0 36 12 64 -0.841253532831185
+0 0 0 0 0 36 16 64 -0.65486073394529
+0 0 0 0 0 36 20 64 -0.415415013001892
+0 0 0 0 0 36 24 64 -0.142314838273291
+0 0 0 0 0 36 28 64 0.142314838273281
+0 0 0 0 0 36 32 64 0.415415013001883
+0 0 0 0 0 36 36 64 0.654860733945283
+0 0 0 0 0 36 40 64 0.84125353283118
+0 0 0 0 0 36 44 64 0.959492973614497
+0 0 0 0 0 36 48 64 1
+0 0 0 0 0 36 52 64 0.959492973614497
+0 0 0 0 0 36 56 64 0.84125353283118
+0 0 0 0 0 36 60 64 0.654860733945283
+0 0 0 0 0 36 64 64 0.415415013001883
+0 0 0 0 0 36 68 64 0.142314838273281
+0 0 0 0 0 36 72 64 -0.142314838273291
+0 0 0 0 0 36 76 64 -0.415415013001892
+0 0 0 0 0 36 80 64 -0.65486073394529
+0 0 0 0 0 36 84 64 -0.841253532831186
+0 0 0 0 0 36 88 64 -0.9594929736145
+0 0 0 0 0 36 92 64 -1
+0 0 0 0 0 36 96 64 -0.959492973614494
+0 0 0 0 0 36 100 64 -0.841253532831175
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 0.847097842786426
+1 0 2 0 0 36 40 64 0.882906165210578
+1 0 2 0 0 36 41 64 0.913976368979985
+1 0 2 0 0 36 42 64 0.940767317220495
+1 0 2 0 0 36 43 64 0.962583960573868
+1 0 2 0 0 36 44 64 0.979495496708141
+1 0 2 0 0 36 45 64 0.991415748311643
+1 0 2 0 0 36 46 64 0.998283972514569
+1 0 2 0 0 36 47 64 1.00006517042072
+1 0 2 0 0 36 48 64 0.996750265453852
+1 0 2 0 0 36 49 64 0.988356149609832
+1 0 2 0 0 36 50 64 0.974925597378899
+1 0 2 0 0 36 51 64 0.956527047776662
+1 0 2 0 0 36 52 64 0.933254255594571
+1 0 2 0 0 36 53 64 0.905225813646983
+1 0 2 0 0 36 54 64 0.87258454844937
+1 0 2 0 0 36 55 64 0.835496792407132
+1 0 2 0 0 36 56 64 0.794151536223785
+1 0 2 0 0 36 57 64 0.74875946584766
+1 0 2 0 0 36 58 64 0.6995518888646
+1 0 2 0 0 36 59 64 0.646779555807524
+1 0 2 0 0 36 60 64 0.590711382389191
+1 0 2 0 0 36 61 64 0.531633079169365
+1 0 2 0 0 36 62 64 0.469786560005456
+1 0 2 0 0 36 63 64 0.40610804599667
+1 0 2 0 0 36 64 64 0.339858478403936
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 0.888412639077334
+2 0 2 0 0 36 40 64 0.919050368064931
+2 0 2 0 0 36 41 64 0.944187169621826
+2 0 2 0 0 36 42 64 0.965543209723259
+2 0 2 0 0 36 43 64 0.981732881277068
+2 0 2 0 0 36 44 64 0.992898258271072
+2 0 2 0 0 36 45 64 0.999003867024279
+2 0 2 0 0 36 46 64 1.0000187810633
+2 0 2 0 0 36 47 64 0.99593782861884
+2 0 2 0 0 36 48 64 0.98678180528911
+2 0 2 0 0 36 49 64 0.972597368070252
+2 0 2 0 0 36 50 64 0.95345679760297
+2 0 2 0 0 36 51 64 0.929457629846954
+2 0 2 0 0 36 52 64 0.900722159059987
+2 0 2 0 0 36 53 64 0.867396814614441
+2 0 2 0 0 36 54 64 0.829651414826757
+2 0 2 0 0 36 55 64 0.787678301602234
+2 0 2 0 0 36 56 64 0.741691360304765
+2 0 2 0 0 36 57 64 0.691924929846053
+2 0 2 0 0 36 58 64 0.638632608548229
+2 0 2 0 0 36 59 64 0.582085961864933
+2 0 2 0 0 36 60 64 0.522573227438968
+2 0 2 0 0 36 61 64 0.460394506701481
+2 0 2 0 0 36 62 64 0.395893132452622
+2 0 2 0 0 36 63 64 0.329942721763465
+2 0 2 0 0 36 64 64 0.261690011646191
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 0.160358235959828
+2 0 1 0 0 36 28 64 0.299581626544918
+2 0 1 0 0 36 30 64 0.434549540234976
+2 0 1 0 0 36 32 64 0.558779189110921
+2 0 1 0 0 36 34 64 0.671277041777681
+2 0 1 0 0 36 36 64 0.770109629676982
+2 0 1 0 0 36 38 64 0.853265006328841
+2 0 1 0 0 36 40 64 0.919050368064931
+2 0 1 0 0 36 42 64 0.965543209723259
+2 0 1 0 0 36 44 64 0.992898258271072
+2 0 1 0 0 36 46 64 1.0000187810633
+2 0 1 0 0 36 48 64 0.98678180528911
+2 0 1 0 0 36 50 64 0.95345679760297
+2 0 1 0 0 36 52 64 0.900722159059987
+2 0 1 0 0 36 54 64 0.829651414826757
+2 0 1 0 0 36 56 64 0.741691360304765
+2 0 1 0 0 36 58 64 0.638632608548229
+2 0 1 0 0 36 60 64 0.522573227438968
+2 0 1 0 0 36 62 64 0.395893132452622
+2 0 1 0 0 36 64 64 0.261690011646191
+2 0 1 0 0 36 66 64 0.121532245972423
+2 0 1 0 0 36 68 64 -0.0210995657592878
+2 0 1 0 0 36 70 64 -0.163301851178262
+2 0 1 0 0 36 72 64 -0.301772714736952
+2 0 1 0 0 36 74 64 -0.432614546884287
+2 0 1 0 0 36 76 64 -0.556973343530279
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0.923492737543403
+3 0 2 0 0 36 40 64 0.948722272698984
+3 0 2 0 0 36 41 64 0.968205740994024
+3 0 2 0 0 36 42 64 0.983784143007877
+3 0 2 0 0 36 43 64 0.99425945954301
+3 0 2 0 0 36 44 64 0.999610079333321
+3 0 2 0 0 36 45 64 0.999859304730077
+3 0 2 0 0 36 46 64 0.995013403396004
+3 0 2 0 0 36 47 64 0.985097136013536
+3 0 2 0 0 36 48 64 0.970161039430408
+3 0 2 0 0 36 49 64 0.950281224571148
+3 0 2 0 0 36 50 64 0.925558994415417
+3 0 2 0 0 36 51 64 0.896120327781248
+3 0 2 0 0 36 52 64 0.862115237365861
+3 0 2 0 0 36 53 64 0.82371700531535
+3 0 2 0 0 36 54 64 0.781121300218582
+3 0 2 0 0 36 55 64 0.73454518002492
+3 0 2 0 0 36 56 64 0.684225985966669
+3 0 2 0 0 36 57 64 0.63042013312256
+3 0 2 0 0 36 58 64 0.573401806563186
+3 0 2 0 0 36 59 64 0.513461537983968
+3 0 2 0 0 36 60 64 0.450904212261146
+3 0 2 0 0 36 61 64 0.386068279028593
+3 0 2 0 0 36 62 64 0.319468436459112
+3 0 2 0 0 36 63 64 0.251663319219561
+3 0 2 0 0 36 64 64 0.182135713199561
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0.952593592917966
+4 0 2 0 0 36 40 64 0.972243168677822
+4 0 2 0 0 36 41 64 0.985885012967484
+4 0 2 0 0 36 42 64 0.995413695674286
+4 0 2 0 0 36 43 64 1.00006956550258
+4 0 2 0 0 36 44 64 0.999582911269611
+4 0 2 0 0 36 45 64 0.993975449747237
+4 0 2 0 0 36 46 64 0.983300810731539
+4 0 2 0 0 36 47 64 0.967615392135675
+4 0 2 0 0 36 48 64 0.946999233759759
+4 0 2 0 0 36 49 64 0.921557384178306
+4 0 2 0 0 36 50 64 0.89141948940693
+4 0 2 0 0 36 51 64 0.856739125249165
+4 0 2 0 0 36 52 64 0.817693014891306
+4 0 2 0 0 36 53 64 0.774480128361569
+4 0 2 0 0 36 54 64 0.727320668624429
+4 0 2 0 0 36 55 64 0.676454949476791
+4 0 2 0 0 36 56 64 0.622142171050776
+4 0 2 0 0 36 57 64 0.564659101522471
+4 0 2 0 0 36 58 64 0.504298657815613
+4 0 2 0 0 36 59 64 0.441368271885593
+4 0 2 0 0 36 60 64 0.376193465165951
+4 0 2 0 0 36 61 64 0.309194955013432
+4 0 2 0 0 36 62 64 0.240983204341631
+4 0 2 0 0 36 63 64 0.171582439636808
+4 0 2 0 0 36 64 64 0.100786882907076
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0.319996970631104
+4 0 1 0 0 36 28 64 0.452605387467959
+4 0 1 0 0 36 30 64 0.57534674906452
+4 0 1 0 0 36 32 64 0.687246539936373
+4 0 1 0 0 36 34 64 0.784062445136151
+4 0 1 0 0 36 36 64 0.864852084197256
+4 0 1 0 0 36 38 64 0.928035603623129
+4 0 1 0 0 36 40 64 0.972243168677822
+4 0 1 0 0 36 42 64 0.995413695674286
+4 0 1 0 0 36 44 64 0.999582911269611
+4 0 1 0 0 36 46 64 0.983300810731539
+4 0 1 0 0 36 48 64 0.946999233759759
+4 0 1 0 0 36 50 64 0.89141948940693
+4 0 1 0 0 36 52 64 0.817693014891306
+4 0 1 0 0 36 54 64 0.727320668624429
+4 0 1 0 0 36 56 64 0.622142171050776
+4 0 1 0 0 36 58 64 0.504298657815613
+4 0 1 0 0 36 60 64 0.376193465165951
+4 0 1 0 0 36 62 64 0.240983204341631
+4 0 1 0 0 36 64 64 0.100786882907076
+4 0 1 0 0 36 66 64 -0.04204732074525
+4 0 1 0 0 36 68 64 -0.184082265526062
+4 0 1 0 0 36 70 64 -0.322298671506764
+4 0 1 0 0 36 72 64 -0.452859702635545
+4 0 1 0 0 36 74 64 -0.575861294217702
+4 0 1 0 0 36 76 64 -0.687570913094681
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 -1.00584815568965
+4 0 0 0 0 36 4 64 -0.954338021485401
+4 0 0 0 0 36 8 64 -0.825513096447167
+4 0 0 0 0 36 12 64 -0.629810009850201
+4 0 0 0 0 36 16 64 -0.383083461879522
+4 0 0 0 0 36 20 64 -0.105321770112437
+4 0 0 0 0 36 24 64 0.180972465096474
+4 0 0 0 0 36 28 64 0.452605387467959
+4 0 0 0 0 36 32 64 0.687246539936373
+4 0 0 0 0 36 36 64 0.864852084197256
+4 0 0 0 0 36 40 64 0.972243168677822
+4 0 0 0 0 36 44 64 0.999582911269611
+4 0 0 0 0 36 48 64 0.946999233759759
+4 0 0 0 0 36 52 64 0.817693014891306
+4 0 0 0 0 36 56 64 0.622142171050776
+4 0 0 0 0 36 60 64 0.376193465165951
+4 0 0 0 0 36 64 64 0.100786882907076
+4 0 0 0 0 36 68 64 -0.184082265526062
+4 0 0 0 0 36 72 64 -0.452859702635545
+4 0 0 0 0 36 76 64 -0.687570913094681
+4 0 0 0 0 36 80 64 -0.866833532484134
+4 0 0 0 0 36 84 64 -0.975870454329239
+4 0 0 0 0 36 88 64 -1.00584815568965
+4 0 0 0 0 36 92 64 -0.954338021485401
+4 0 0 0 0 36 96 64 -0.825513096447167
+4 0 0 0 0 36 100 64 -0.629810009850201
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0.975132342957044
+5 0 2 0 0 36 40 64 0.989025784809179
+5 0 2 0 0 36 41 64 0.997054099352267
+5 0 2 0 0 36 42 64 1.00042064904098
+5 0 2 0 0 36 43 64 0.999128442105026
+5 0 2 0 0 36 44 64 0.992811225210087
+5 0 2 0 0 36 45 64 0.981390504980229
+5 0 2 0 0 36 46 64 0.964959172335606
+5 0 2 0 0 36 47 64 0.943609667067614
+5 0 2 0 0 36 48 64 0.917451756062889
+5 0 2 0 0 36 49 64 0.88661871918393
+5 0 2 0 0 36 50 64 0.851267676848268
+5 0 2 0 0 36 51 64 0.811578769557241
+5 0 2 0 0 36 52 64 0.767754242883613
+5 0 2 0 0 36 53 64 0.720017416576587
+5 0 2 0 0 36 54 64 0.668611546556968
+5 0 2 0 0 36 55 64 0.613798585491539
+5 0 2 0 0 36 56 64 0.555857848542902
+5 0 2 0 0 36 57 64 0.495084597199934
+5 0 2 0 0 36 58 64 0.431788477023993
+5 0 2 0 0 36 59 64 0.366293416107929
+5 0 2 0 0 36 60 64 0.298963916409585
+5 0 2 0 0 36 61 64 0.230324378492324
+5 0 2 0 0 36 62 64 0.160901704234675
+5 0 2 0 0 36 63 64 0.0905693461460138
+5 0 2 0 0 36 64 64 0.0192590610721603
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0.991222216742151
+6 0 2 0 0 36 40 64 0.999265878157142
+6 0 2 0 0 36 41 64 1.00154404158505
+6 0 2 0 0 36 42 64 0.998823986135486
+6 0 2 0 0 36 43 64 0.991472700716226
+6 0 2 0 0 36 44 64 0.9793363954637
+6 0 2 0 0 36 45 64 0.962186392351257
+6 0 2 0 0 36 46 64 0.940111147385231
+6 0 2 0 0 36 47 64 0.913241011420647
+6 0 2 0 0 36 48 64 0.881717036481362
+6 0 2 0 0 36 49 64 0.845700015582231
+6 0 2 0 0 36 50 64 0.805373503821476
+6 0 2 0 0 36 51 64 0.760942993238298
+6 0 2 0 0 36 52 64 0.71263489156665
+6 0 2 0 0 36 53 64 0.660695365873955
+6 0 2 0 0 36 54 64 0.605389088068546
+6 0 2 0 0 36 55 64 0.546997887336456
+6 0 2 0 0 36 56 64 0.485819314383167
+6 0 2 0 0 36 57 64 0.422165137345336
+6 0 2 0 0 36 58 64 0.356360124859758
+6 0 2 0 0 36 59 64 0.288750305384143
+6 0 2 0 0 36 60 64 0.219765465088101
+6 0 2 0 0 36 61 64 0.1499861375902
+6 0 2 0 0 36 62 64 0.0797187789457183
+6 0 2 0 0 36 63 64 0.00867315177628528
+6 0 2 0 0 36 64 64 -0.0629862657396617
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0.468139513321454
+6 0 1 0 0 36 28 64 0.590661715018447
+6 0 1 0 0 36 30 64 0.700594684399588
+6 0 1 0 0 36 32 64 0.797174611091504
+6 0 1 0 0 36 34 64 0.875942366304298
+6 0 1 0 0 36 36 64 0.936536895875465
+6 0 1 0 0 36 38 64 0.978016800442141
+6 0 1 0 0 36 40 64 0.999265878157142
+6 0 1 0 0 36 42 64 0.998823986135486
+6 0 1 0 0 36 44 64 0.9793363954637
+6 0 1 0 0 36 46 64 0.940111147385231
+6 0 1 0 0 36 48 64 0.881717036481362
+6 0 1 0 0 36 50 64 0.805373503821476
+6 0 1 0 0 36 52 64 0.71263489156665
+6 0 1 0 0 36 54 64 0.605389088068546
+6 0 1 0 0 36 56 64 0.485819314383167
+6 0 1 0 0 36 58 64 0.356360124859758
+6 0 1 0 0 36 60 64 0.219765465088101
+6 0 1 0 0 36 62 64 0.0797187789457183
+6 0 1 0 0 36 64 64 -0.0629862657396617
+6 0 1 0 0 36 66 64 -0.204654336099883
+6 0 1 0 0 36 68 64 -0.342249544892715
+6 0 1 0 0 36 70 64 -0.472558212241137
+6 0 1 0 0 36 72 64 -0.591914756566987
+6 0 1 0 0 36 74 64 -0.700854464547349
+6 0 1 0 0 36 76 64 -0.797387258475241
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 1.00055754122993
+7 0 2 0 0 36 40 64 1.00268700929597
+7 0 2 0 0 36 41 64 0.999249647446881
+7 0 2 0 0 36 42 64 0.990629259741236
+7 0 2 0 0 36 43 64 0.977203465373009
+7 0 2 0 0 36 44 64 0.959255651872016
+7 0 2 0 0 36 45 64 0.936488682755773
+7 0 2 0 0 36 46 64 0.908922615986518
+7 0 2 0 0 36 47 64 0.876713312891065
+7 0 2 0 0 36 48 64 0.840035232841803
+7 0 2 0 0 36 49 64 0.799076394357193
+7 0 2 0 0 36 50 64 0.754045654334054
+7 0 2 0 0 36 51 64 0.705172470018333
+7 0 2 0 0 36 52 64 0.652705888486612
+7 0 2 0 0 36 53 64 0.596913267525673
+7 0 2 0 0 36 54 64 0.538078913674234
+7 0 2 0 0 36 55 64 0.47650263733134
+7 0 2 0 0 36 56 64 0.41249822214115
+7 0 2 0 0 36 57 64 0.346391996847691
+7 0 2 0 0 36 58 64 0.278524505421569
+7 0 2 0 0 36 59 64 0.209278088334534
+7 0 2 0 0 36 60 64 0.139157467747155
+7 0 2 0 0 36 61 64 0.0686910499992688
+7 0 2 0 0 36 62 64 -0.00205433837739401
+7 0 2 0 0 36 63 64 -0.0730835631656968
+7 0 2 0 0 36 64 64 -0.144285001915238
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 1.00317727283275
+8 0 2 0 0 36 40 64 0.999381324700922
+8 0 2 0 0 36 41 64 0.990153985048371
+8 0 2 0 0 36 42 64 0.975834850941461
+8 0 2 0 0 36 43 64 0.956459315055831
+8 0 2 0 0 36 44 64 0.932728437262991
+8 0 2 0 0 36 45 64 0.904469331028955
+8 0 2 0 0 36 46 64 0.871601253724181
+8 0 2 0 0 36 47 64 0.834271711308168
+8 0 2 0 0 36 48 64 0.792686572127978
+8 0 2 0 0 36 49 64 0.747061437983058
+8 0 2 0 0 36 50 64 0.697629451086894
+8 0 2 0 0 36 51 64 0.644642501129711
+8 0 2 0 0 36 52 64 0.588370601535577
+8 0 2 0 0 36 53 64 0.529100500727753
+8 0 2 0 0 36 54 64 0.467134226526097
+8 0 2 0 0 36 55 64 0.402787555550044
+8 0 2 0 0 36 56 64 0.336388440873682
+8 0 2 0 0 36 57 64 0.268276586667162
+8 0 2 0 0 36 58 64 0.198813893726309
+8 0 2 0 0 36 59 64 0.128435875369598
+8 0 2 0 0 36 60 64 0.0576889338946878
+8 0 2 0 0 36 61 64 -0.0130658221730891
+8 0 2 0 0 36 62 64 -0.0838701772145112
+8 0 2 0 0 36 63 64 -0.15470417465811
+8 0 2 0 0 36 64 64 -0.225191845992286
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0.608337547616881
+8 0 1 0 0 36 28 64 0.717325411204366
+8 0 1 0 0 36 30 64 0.807320414229194
+8 0 1 0 0 36 32 64 0.885549381475724
+8 0 1 0 0 36 34 64 0.944368078097222
+8 0 1 0 0 36 36 64 0.983213148312177
+8 0 1 0 0 36 38 64 1.00178822918132
+8 0 1 0 0 36 40 64 0.999381324700922
+8 0 1 0 0 36 42 64 0.975834850941461
+8 0 1 0 0 36 44 64 0.932728437262991
+8 0 1 0 0 36 46 64 0.871601253724181
+8 0 1 0 0 36 48 64 0.792686572127978
+8 0 1 0 0 36 50 64 0.697629451086894
+8 0 1 0 0 36 52 64 0.588370601535577
+8 0 1 0 0 36 54 64 0.467134226526097
+8 0 1 0 0 36 56 64 0.336388440873682
+8 0 1 0 0 36 58 64 0.198813893726309
+8 0 1 0 0 36 60 64 0.0576889338946878
+8 0 1 0 0 36 62 64 -0.0838701772145112
+8 0 1 0 0 36 64 64 -0.225191845992286
+8 0 1 0 0 36 66 64 -0.361945696034879
+8 0 1 0 0 36 68 64 -0.491301328617657
+8 0 1 0 0 36 70 64 -0.6100460491197
+8 0 1 0 0 36 72 64 -0.71547957807175
+8 0 1 0 0 36 74 64 -0.811221578468631
+8 0 1 0 0 36 76 64 -0.88969586741191
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 -0.948239023203024
+8 0 0 0 0 36 4 64 -0.809627151455661
+8 0 0 0 0 36 8 64 -0.605424102935438
+8 0 0 0 0 36 12 64 -0.352173194191161
+8 0 0 0 0 36 16 64 -0.0703913077081443
+8 0 0 0 0 36 20 64 0.21709326389216
+8 0 0 0 0 36 24 64 0.486986217469506
+8 0 0 0 0 36 28 64 0.717325411204366
+8 0 0 0 0 36 32 64 0.885549381475724
+8 0 0 0 0 36 36 64 0.983213148312177
+8 0 0 0 0 36 40 64 0.999381324700922
+8 0 0 0 0 36 44 64 0.932728437262991
+8 0 0 0 0 36 48 64 0.792686572127978
+8 0 0 0 0 36 52 64 0.588370601535577
+8 0 0 0 0 36 56 64 0.336388440873682
+8 0 0 0 0 36 60 64 0.0576889338946878
+8 0 0 0 0 36 64 64 -0.225191845992286
+8 0 0 0 0 36 68 64 -0.491301328617657
+8 0 0 0 0 36 72 64 -0.71547957807175
+8 0 0 0 0 36 76 64 -0.88969586741191
+8 0 0 0 0 36 80 64 -0.989989362434214
+8 0 0 0 0 36 84 64 -1.01003020868509
+8 0 0 0 0 36 88 64 -0.948239023203024
+8 0 0 0 0 36 92 64 -0.809627151455661
+8 0 0 0 0 36 96 64 -0.605424102935438
+8 0 0 0 0 36 100 64 -0.352173194191161
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 0.999076507879812
+9 0 2 0 0 36 40 64 0.989391300149161
+9 0 2 0 0 36 41 64 0.974335276709998
+9 0 2 0 0 36 42 64 0.954462461942369
+9 0 2 0 0 36 43 64 0.929387526357414
+9 0 2 0 0 36 44 64 0.899971180477557
+9 0 2 0 0 36 45 64 0.866351440371643
+9 0 2 0 0 36 46 64 0.828395961469259
+9 0 2 0 0 36 47 64 0.786200600200534
+9 0 2 0 0 36 48 64 0.739989306160126
+9 0 2 0 0 36 49 64 0.690004998488413
+9 0 2 0 0 36 50 64 0.636504461341454
+9 0 2 0 0 36 51 64 0.579760423576921
+9 0 2 0 0 36 52 64 0.520062062864739
+9 0 2 0 0 36 53 64 0.457713586646073
+9 0 2 0 0 36 54 64 0.393032711800141
+9 0 2 0 0 36 55 64 0.326349075709386
+9 0 2 0 0 36 56 64 0.258002954755809
+9 0 2 0 0 36 57 64 0.188348526139069
+9 0 2 0 0 36 58 64 0.117780116138105
+9 0 2 0 0 36 59 64 0.0467897996241034
+9 0 2 0 0 36 60 64 -0.0241129034851259
+9 0 2 0 0 36 61 64 -0.0947758406197838
+9 0 2 0 0 36 62 64 -0.165181217953878
+9 0 2 0 0 36 63 64 -0.23498718415331
+9 0 2 0 0 36 64 64 -0.304073234577801
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 0.988189756664149
+10 0 2 0 0 36 40 64 0.972702777048301
+10 0 2 0 0 36 41 64 0.951940906631607
+10 0 2 0 0 36 42 64 0.9266009107529
+10 0 2 0 0 36 43 64 0.89613417963788
+10 0 2 0 0 36 44 64 0.861239257364127
+10 0 2 0 0 36 45 64 0.822411778189992
+10 0 2 0 0 36 46 64 0.779597978132303
+10 0 2 0 0 36 47 64 0.732821638980415
+10 0 2 0 0 36 48 64 0.682297302925288
+10 0 2 0 0 36 49 64 0.628290719181002
+10 0 2 0 0 36 50 64 0.571081861830626
+10 0 2 0 0 36 51 64 0.510962804995394
+10 0 2 0 0 36 52 64 0.448240005566255
+10 0 2 0 0 36 53 64 0.383233082695019
+10 0 2 0 0 36 54 64 0.31627330918782
+10 0 2 0 0 36 55 64 0.247702097995214
+10 0 2 0 0 36 56 64 0.177871153179281
+10 0 2 0 0 36 57 64 0.107154098792433
+10 0 2 0 0 36 58 64 0.0359889518207953
+10 0 2 0 0 36 59 64 -0.035102807295488
+10 0 2 0 0 36 60 64 -0.105738699504201
+10 0 2 0 0 36 61 64 -0.175915557430077
+10 0 2 0 0 36 62 64 -0.24542446174731
+10 0 2 0 0 36 63 64 -0.31414727919649
+10 0 2 0 0 36 64 64 -0.381473688802784
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0.729428076450736
+10 0 1 0 0 36 28 64 0.821980005015531
+10 0 1 0 0 36 30 64 0.89310709189827
+10 0 1 0 0 36 32 64 0.950045654615554
+10 0 1 0 0 36 34 64 0.987386265890162
+10 0 1 0 0 36 36 64 1.00355616890134
+10 0 1 0 0 36 38 64 0.998630418781351
+10 0 1 0 0 36 40 64 0.972702777048301
+10 0 1 0 0 36 42 64 0.9266009107529
+10 0 1 0 0 36 44 64 0.861239257364127
+10 0 1 0 0 36 46 64 0.779597978132303
+10 0 1 0 0 36 48 64 0.682297302925288
+10 0 1 0 0 36 50 64 0.571081861830626
+10 0 1 0 0 36 52 64 0.448240005566255
+10 0 1 0 0 36 54 64 0.31627330918782
+10 0 1 0 0 36 56 64 0.177871153179281
+10 0 1 0 0 36 58 64 0.0359889518207953
+10 0 1 0 0 36 60 64 -0.105738699504201
+10 0 1 0 0 36 62 64 -0.24542446174731
+10 0 1 0 0 36 64 64 -0.381473688802784
+10 0 1 0 0 36 66 64 -0.509672775986546
+10 0 1 0 0 36 68 64 -0.627170420973262
+10 0 1 0 0 36 70 64 -0.731186701796104
+10 0 1 0 0 36 72 64 -0.820679732517403
+10 0 1 0 0 36 74 64 -0.897049413705051
+10 0 1 0 0 36 76 64 -0.956447714219144
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 0.970797263052447
+11 0 2 0 0 36 40 64 0.949606178947061
+11 0 2 0 0 36 41 64 0.923158876254044
+11 0 2 0 0 36 42 64 0.892428275866507
+11 0 2 0 0 36 43 64 0.856860151433313
+11 0 2 0 0 36 44 64 0.816805228550498
+11 0 2 0 0 36 45 64 0.772976236947544
+11 0 2 0 0 36 46 64 0.725543151012851
+11 0 2 0 0 36 47 64 0.67449266894416
+11 0 2 0 0 36 48 64 0.619997631692982
+11 0 2 0 0 36 49 64 0.562333507003626
+11 0 2 0 0 36 50 64 0.501801823218902
+11 0 2 0 0 36 51 64 0.438712698099727
+11 0 2 0 0 36 52 64 0.373387992878031
+11 0 2 0 0 36 53 64 0.306160601180835
+11 0 2 0 0 36 54 64 0.237373168600885
+11 0 2 0 0 36 55 64 0.167377144443808
+11 0 2 0 0 36 56 64 0.0965368942892614
+11 0 2 0 0 36 57 64 0.025253960020451
+11 0 2 0 0 36 58 64 -0.0459899621268111
+11 0 2 0 0 36 59 64 -0.116704246156758
+11 0 2 0 0 36 60 64 -0.186683081887267
+11 0 2 0 0 36 61 64 -0.255935931129144
+11 0 2 0 0 36 62 64 -0.324065234376645
+11 0 2 0 0 36 63 64 -0.390756160459298
+11 0 2 0 0 36 64 64 -0.455826224052902
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 0.946718282490084
+12 0 2 0 0 36 40 64 0.920004697995868
+12 0 2 0 0 36 41 64 0.88820248465677
+12 0 2 0 0 36 42 64 0.852203343510234
+12 0 2 0 0 36 43 64 0.811771986414188
+12 0 2 0 0 36 44 64 0.766946871909847
+12 0 2 0 0 36 45 64 0.718407316248667
+12 0 2 0 0 36 46 64 0.666613191874101
+12 0 2 0 0 36 47 64 0.611608423867112
+12 0 2 0 0 36 48 64 0.553508979812572
+12 0 2 0 0 36 49 64 0.492577488715941
+12 0 2 0 0 36 50 64 0.429131419695598
+12 0 2 0 0 36 51 64 0.36349746771229
+12 0 2 0 0 36 52 64 0.296011150255575
+12 0 2 0 0 36 53 64 0.227016462531228
+12 0 2 0 0 36 54 64 0.156865345516414
+12 0 2 0 0 36 55 64 0.0859185523120847
+12 0 2 0 0 36 56 64 0.0145573930762611
+12 0 2 0 0 36 57 64 -0.0567812130662858
+12 0 2 0 0 36 58 64 -0.127594966602965
+12 0 2 0 0 36 59 64 -0.19749664180972
+12 0 2 0 0 36 60 64 -0.266430071320629
+12 0 2 0 0 36 61 64 -0.334290110137629
+12 0 2 0 0 36 62 64 -0.400559312605231
+12 0 2 0 0 36 63 64 -0.465292889765635
+12 0 2 0 0 36 64 64 -0.527653168532932
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0.834793700266009
+12 0 1 0 0 36 28 64 0.908164320122005
+12 0 1 0 0 36 30 64 0.955808097958556
+12 0 1 0 0 36 32 64 0.98925566773154
+12 0 1 0 0 36 34 64 1.00375988425956
+12 0 1 0 0 36 36 64 0.996895879903515
+12 0 1 0 0 36 38 64 0.968594018509893
+12 0 1 0 0 36 40 64 0.920004697995868
+12 0 1 0 0 36 42 64 0.852203343510234
+12 0 1 0 0 36 44 64 0.766946871909847
+12 0 1 0 0 36 46 64 0.666613191874101
+12 0 1 0 0 36 48 64 0.553508979812572
+12 0 1 0 0 36 50 64 0.429131419695598
+12 0 1 0 0 36 52 64 0.296011150255575
+12 0 1 0 0 36 54 64 0.156865345516414
+12 0 1 0 0 36 56 64 0.0145573930762611
+12 0 1 0 0 36 58 64 -0.127594966602965
+12 0 1 0 0 36 60 64 -0.266430071320629
+12 0 1 0 0 36 62 64 -0.400559312605231
+12 0 1 0 0 36 64 64 -0.527653168532932
+12 0 1 0 0 36 66 64 -0.643800151665235
+12 0 1 0 0 36 68 64 -0.746198960673649
+12 0 1 0 0 36 70 64 -0.833079722837627
+12 0 1 0 0 36 72 64 -0.904715587050396
+12 0 1 0 0 36 74 64 -0.963407391416707
+12 0 1 0 0 36 76 64 -1.00032580745879
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 -0.792149323120694
+12 0 0 0 0 36 4 64 -0.580392969675618
+12 0 0 0 0 36 8 64 -0.321616461085254
+12 0 0 0 0 36 12 64 -0.0367844995445034
+12 0 0 0 0 36 16 64 0.251027397980824
+12 0 0 0 0 36 20 64 0.518502787331275
+12 0 0 0 0 36 24 64 0.74394278483865
+12 0 0 0 0 36 28 64 0.908164320122005
+12 0 0 0 0 36 32 64 0.98925566773154
+12 0 0 0 0 36 36 64 0.996895879903515
+12 0 0 0 0 36 40 64 0.920004697995868
+12 0 0 0 0 36 44 64 0.766946871909847
+12 0 0 0 0 36 48 64 0.553508979812572
+12 0 0 0 0 36 52 64 0.296011150255575
+12 0 0 0 0 36 56 64 0.0145573930762611
+12 0 0 0 0 36 60 64 -0.266430071320629
+12 0 0 0 0 36 64 64 -0.527653168532932
+12 0 0 0 0 36 68 64 -0.746198960673649
+12 0 0 0 0 36 72 64 -0.904715587050396
+12 0 0 0 0 36 76 64 -1.00032580745879
+12 0 0 0 0 36 80 64 -1.01116763297858
+12 0 0 0 0 36 84 64 -0.939727031058961
+12 0 0 0 0 36 88 64 -0.792149323120694
+12 0 0 0 0 36 92 64 -0.580392969675618
+12 0 0 0 0 36 96 64 -0.321616461085254
+12 0 0 0 0 36 100 64 -0.0367844995445034
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 0.916482173410588
+13 0 2 0 0 36 40 64 0.884405531662283
+13 0 2 0 0 36 41 64 0.847305731912832
+13 0 2 0 0 36 42 64 0.806243859401886
+13 0 2 0 0 36 43 64 0.761148690026005
+13 0 2 0 0 36 44 64 0.711953537724228
+13 0 2 0 0 36 45 64 0.659088561024448
+13 0 2 0 0 36 46 64 0.603233193011737
+13 0 2 0 0 36 47 64 0.544602969425614
+13 0 2 0 0 36 48 64 0.483281863637528
+13 0 2 0 0 36 49 64 0.41949508061286
+13 0 2 0 0 36 50 64 0.353563546111801
+13 0 2 0 0 36 51 64 0.285827654644534
+13 0 2 0 0 36 52 64 0.216634946275596
+13 0 2 0 0 36 53 64 0.14633843116227
+13 0 2 0 0 36 54 64 0.0752977344048983
+13 0 2 0 0 36 55 64 0.00388406682078889
+13 0 2 0 0 36 56 64 -0.0674977694306813
+13 0 2 0 0 36 57 64 -0.138377566431166
+13 0 2 0 0 36 58 64 -0.208280921659102
+13 0 2 0 0 36 59 64 -0.276971989924276
+13 0 2 0 0 36 60 64 -0.344448013416498
+13 0 2 0 0 36 61 64 -0.410429451849162
+13 0 2 0 0 36 62 64 -0.474400317544173
+13 0 2 0 0 36 63 64 -0.536176972088522
+13 0 2 0 0 36 64 64 -0.595478436784412
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 0.879829677677901
+14 0 2 0 0 36 40 64 0.842639614123784
+14 0 2 0 0 36 41 64 0.800736126960792
+14 0 2 0 0 36 42 64 0.754896436600683
+14 0 2 0 0 36 43 64 0.705350176506335
+14 0 2 0 0 36 44 64 0.652148505896853
+14 0 2 0 0 36 45 64 0.595414438982247
+14 0 2 0 0 36 46 64 0.535863954144025
+14 0 2 0 0 36 47 64 0.473951980877998
+14 0 2 0 0 36 48 64 0.409800751689934
+14 0 2 0 0 36 49 64 0.343587311662348
+14 0 2 0 0 36 50 64 0.275616716345661
+14 0 2 0 0 36 51 64 0.206236673353614
+14 0 2 0 0 36 52 64 0.135804795644416
+14 0 2 0 0 36 53 64 0.064681322853765
+14 0 2 0 0 36 54 64 -0.00676697076335852
+14 0 2 0 0 36 55 64 -0.0781548762542092
+14 0 2 0 0 36 56 64 -0.149049127367106
+14 0 2 0 0 36 57 64 -0.218966474837411
+14 0 2 0 0 36 58 64 -0.28752056728806
+14 0 2 0 0 36 59 64 -0.354618842323777
+14 0 2 0 0 36 60 64 -0.420194615922529
+14 0 2 0 0 36 61 64 -0.483832126875986
+14 0 2 0 0 36 62 64 -0.545070548705061
+14 0 2 0 0 36 63 64 -0.604067326317611
+14 0 2 0 0 36 64 64 -0.659794057293497
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0.915801170366533
+14 0 1 0 0 36 28 64 0.967969547645549
+14 0 1 0 0 36 30 64 0.993717723518313
+14 0 1 0 0 36 32 64 1.00243634396536
+14 0 1 0 0 36 34 64 0.993082954268429
+14 0 1 0 0 36 36 64 0.963277366083827
+14 0 1 0 0 36 38 64 0.912487694946701
+14 0 1 0 0 36 40 64 0.842639614123784
+14 0 1 0 0 36 42 64 0.754896436600683
+14 0 1 0 0 36 44 64 0.652148505896853
+14 0 1 0 0 36 46 64 0.535863954144025
+14 0 1 0 0 36 48 64 0.409800751689934
+14 0 1 0 0 36 50 64 0.275616716345661
+14 0 1 0 0 36 52 64 0.135804795644416
+14 0 1 0 0 36 54 64 -0.00676697076335852
+14 0 1 0 0 36 56 64 -0.149049127367106
+14 0 1 0 0 36 58 64 -0.28752056728806
+14 0 1 0 0 36 60 64 -0.420194615922529
+14 0 1 0 0 36 62 64 -0.545070548705061
+14 0 1 0 0 36 64 64 -0.659794057293497
+14 0 1 0 0 36 66 64 -0.760654705712629
+14 0 1 0 0 36 68 64 -0.845302029066405
+14 0 1 0 0 36 70 64 -0.913283600988506
+14 0 1 0 0 36 72 64 -0.965460067886117
+14 0 1 0 0 36 74 64 -1.00131173404081
+14 0 1 0 0 36 76 64 -1.01684928213915
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 0.837532206774458
+15 0 2 0 0 36 40 64 0.795463929142859
+15 0 2 0 0 36 41 64 0.748798045360606
+15 0 2 0 0 36 42 64 0.698529334531538
+15 0 2 0 0 36 43 64 0.644803957623591
+15 0 2 0 0 36 44 64 0.5879145452387
+15 0 2 0 0 36 45 64 0.5277921162059
+15 0 2 0 0 36 46 64 0.464990302386675
+15 0 2 0 0 36 47 64 0.400171231236084
+15 0 2 0 0 36 48 64 0.333586288568291
+15 0 2 0 0 36 49 64 0.26538435034925
+15 0 2 0 0 36 50 64 0.195834465745251
+15 0 2 0 0 36 51 64 0.125279917638074
+15 0 2 0 0 36 52 64 0.0540850509392931
+15 0 2 0 0 36 53 64 -0.0173839161563554
+15 0 2 0 0 36 54 64 -0.0887518264701814
+15 0 2 0 0 36 55 64 -0.15961447644312
+15 0 2 0 0 36 56 64 -0.229513401172011
+15 0 2 0 0 36 57 64 -0.297992766428669
+15 0 2 0 0 36 58 64 -0.364799143229046
+15 0 2 0 0 36 59 64 -0.42991460738027
+15 0 2 0 0 36 60 64 -0.493131051475422
+15 0 2 0 0 36 61 64 -0.553986013676921
+15 0 2 0 0 36 62 64 -0.612097070917221
+15 0 2 0 0 36 63 64 -0.667310903955717
+15 0 2 0 0 36 64 64 -0.719248667375393
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 0.789262079553533
+16 0 2 0 0 36 40 64 0.74262614879868
+16 0 2 0 0 36 41 64 0.691843895890655
+16 0 2 0 0 36 42 64 0.637525051900859
+16 0 2 0 0 36 43 64 0.579978308368387
+16 0 2 0 0 36 44 64 0.519706027526158
+16 0 2 0 0 36 45 64 0.456654018809817
+16 0 2 0 0 36 46 64 0.391108946860947
+16 0 2 0 0 36 47 64 0.32380757181784
+16 0 2 0 0 36 48 64 0.255193715754225
+16 0 2 0 0 36 49 64 0.185443799675893
+16 0 2 0 0 36 50 64 0.114782036609716
+16 0 2 0 0 36 51 64 0.0435307946809341
+16 0 2 0 0 36 52 64 -0.0279450823857725
+16 0 2 0 0 36 53 64 -0.0992740949550518
+16 0 2 0 0 36 54 64 -0.170069477125446
+16 0 2 0 0 36 55 64 -0.239904846958976
+16 0 2 0 0 36 56 64 -0.30831465774241
+16 0 2 0 0 36 57 64 -0.374921467540665
+16 0 2 0 0 36 58 64 -0.43960776292377
+16 0 2 0 0 36 59 64 -0.502330404285326
+16 0 2 0 0 36 60 64 -0.562737668991793
+16 0 2 0 0 36 61 64 -0.620413178375548
+16 0 2 0 0 36 62 64 -0.675003377358677
+16 0 2 0 0 36 63 64 -0.726705937905796
+16 0 2 0 0 36 64 64 -0.774292721258366
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0.974822476710723
+16 0 1 0 0 36 28 64 1.00403195721224
+16 0 1 0 0 36 30 64 1.00557105982401
+16 0 1 0 0 36 32 64 0.989486423718769
+16 0 1 0 0 36 34 64 0.955807856334513
+16 0 1 0 0 36 36 64 0.903539480892102
+16 0 1 0 0 36 38 64 0.831810651379517
+16 0 1 0 0 36 40 64 0.74262614879868
+16 0 1 0 0 36 42 64 0.637525051900859
+16 0 1 0 0 36 44 64 0.519706027526158
+16 0 1 0 0 36 46 64 0.391108946860947
+16 0 1 0 0 36 48 64 0.255193715754225
+16 0 1 0 0 36 50 64 0.114782036609716
+16 0 1 0 0 36 52 64 -0.0279450823857725
+16 0 1 0 0 36 54 64 -0.170069477125446
+16 0 1 0 0 36 56 64 -0.30831465774241
+16 0 1 0 0 36 58 64 -0.43960776292377
+16 0 1 0 0 36 60 64 -0.562737668991793
+16 0 1 0 0 36 62 64 -0.675003377358677
+16 0 1 0 0 36 64 64 -0.774292721258366
+16 0 1 0 0 36 66 64 -0.857081366871246
+16 0 1 0 0 36 68 64 -0.922036196461464
+16 0 1 0 0 36 70 64 -0.969897572525767
+16 0 1 0 0 36 72 64 -1.00111946768987
+16 0 1 0 0 36 74 64 -1.01677405279046
+16 0 1 0 0 36 76 64 -1.00751175992413
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 -0.553289490637159
+16 0 0 0 0 36 4 64 -0.289985031402294
+16 0 0 0 0 36 8 64 -0.00318695042513925
+16 0 0 0 0 36 12 64 0.283869571675403
+16 0 0 0 0 36 16 64 0.547928219015456
+16 0 0 0 0 36 20 64 0.76758746494111
+16 0 0 0 0 36 24 64 0.924776708845265
+16 0 0 0 0 36 28 64 1.00403195721224
+16 0 0 0 0 36 32 64 0.989486423718769
+16 0 0 0 0 36 36 64 0.903539480892102
+16 0 0 0 0 36 40 64 0.74262614879868
+16 0 0 0 0 36 44 64 0.519706027526158
+16 0 0 0 0 36 48 64 0.255193715754225
+16 0 0 0 0 36 52 64 -0.0279450823857725
+16 0 0 0 0 36 56 64 -0.30831465774241
+16 0 0 0 0 36 60 64 -0.562737668991793
+16 0 0 0 0 36 64 64 -0.774292721258366
+16 0 0 0 0 36 68 64 -0.922036196461464
+16 0 0 0 0 36 72 64 -1.00111946768987
+16 0 0 0 0 36 76 64 -1.00751175992413
+16 0 0 0 0 36 80 64 -0.927623212398591
+16 0 0 0 0 36 84 64 -0.771753650219466
+16 0 0 0 0 36 88 64 -0.553289490637159
+16 0 0 0 0 36 92 64 -0.289985031402294
+16 0 0 0 0 36 96 64 -0.00318695042513925
+16 0 0 0 0 36 100 64 0.283869571675403
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 0.73603553527384
+17 0 2 0 0 36 40 64 0.685139785848877
+17 0 2 0 0 36 41 64 0.630258977744784
+17 0 2 0 0 36 42 64 0.572294955901976
+17 0 2 0 0 36 43 64 0.511354271462666
+17 0 2 0 0 36 44 64 0.448037224474307
+17 0 2 0 0 36 45 64 0.382471390770529
+17 0 2 0 0 36 46 64 0.314719628461935
+17 0 2 0 0 36 47 64 0.245421325559695
+17 0 2 0 0 36 48 64 0.175203161298201
+17 0 2 0 0 36 49 64 0.104343825822809
+17 0 2 0 0 36 50 64 0.0330381364722756
+17 0 2 0 0 36 51 64 -0.0384285362923914
+17 0 2 0 0 36 52 64 -0.109700918124499
+17 0 2 0 0 36 53 64 -0.180402889429072
+17 0 2 0 0 36 54 64 -0.250132016921686
+17 0 2 0 0 36 55 64 -0.31844371604896
+17 0 2 0 0 36 56 64 -0.384900065660627
+17 0 2 0 0 36 57 64 -0.449243152802161
+17 0 2 0 0 36 58 64 -0.511443142804897
+17 0 2 0 0 36 59 64 -0.571348680876357
+17 0 2 0 0 36 60 64 -0.62852902402678
+17 0 2 0 0 36 61 64 -0.682652288026427
+17 0 2 0 0 36 62 64 -0.733371901531907
+17 0 2 0 0 36 63 64 -0.780561180564322
+17 0 2 0 0 36 64 64 -0.823744741256507
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 0.677444176690343
+18 0 2 0 0 36 40 64 0.622667002707574
+18 0 2 0 0 36 41 64 0.564466033807374
+18 0 2 0 0 36 42 64 0.503270168045586
+18 0 2 0 0 36 43 64 0.43940742801043
+18 0 2 0 0 36 44 64 0.37344989076364
+18 0 2 0 0 36 45 64 0.305756228306364
+18 0 2 0 0 36 46 64 0.236320989494019
+18 0 2 0 0 36 47 64 0.16556369240492
+18 0 2 0 0 36 48 64 0.0942002439033824
+18 0 2 0 0 36 49 64 0.0226696026091303
+18 0 2 0 0 36 50 64 -0.0488184934192335
+18 0 2 0 0 36 51 64 -0.120021670412873
+18 0 2 0 0 36 52 64 -0.190606919310082
+18 0 2 0 0 36 53 64 -0.260195385448624
+18 0 2 0 0 36 54 64 -0.328367418472121
+18 0 2 0 0 36 55 64 -0.394676644240939
+18 0 2 0 0 36 56 64 -0.458756913725556
+18 0 2 0 0 36 57 64 -0.520479004353041
+18 0 2 0 0 36 58 64 -0.579817983864765
+18 0 2 0 0 36 59 64 -0.63648697174265
+18 0 2 0 0 36 60 64 -0.690063176350882
+18 0 2 0 0 36 61 64 -0.740289197421025
+18 0 2 0 0 36 62 64 -0.786791995413
+18 0 2 0 0 36 63 64 -0.82982683613423
+18 0 2 0 0 36 64 64 -0.867998553265119
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 1.00680439437577
+18 0 1 0 0 36 28 64 1.01234759570307
+18 0 1 0 0 36 30 64 0.990841858451347
+18 0 1 0 0 36 32 64 0.950732271134903
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+18 0 1 0 0 36 36 64 0.819358371045911
+18 0 1 0 0 36 38 64 0.728706826354557
+18 0 1 0 0 36 40 64 0.622667002707574
+18 0 1 0 0 36 42 64 0.503270168045586
+18 0 1 0 0 36 44 64 0.37344989076364
+18 0 1 0 0 36 46 64 0.236320989494019
+18 0 1 0 0 36 48 64 0.0942002439033824
+18 0 1 0 0 36 50 64 -0.0488184934192335
+18 0 1 0 0 36 52 64 -0.190606919310082
+18 0 1 0 0 36 54 64 -0.328367418472121
+18 0 1 0 0 36 56 64 -0.458756913725556
+18 0 1 0 0 36 58 64 -0.579817983864765
+18 0 1 0 0 36 60 64 -0.690063176350882
+18 0 1 0 0 36 62 64 -0.786791995413
+18 0 1 0 0 36 64 64 -0.867998553265119
+18 0 1 0 0 36 66 64 -0.930567313802873
+18 0 1 0 0 36 68 64 -0.974592737258797
+18 0 1 0 0 36 70 64 -1.00141456555385
+18 0 1 0 0 36 72 64 -1.01078251725504
+18 0 1 0 0 36 74 64 -1.00226077728701
+18 0 1 0 0 36 76 64 -0.971893941661091
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 0.614721149741081
+19 0 2 0 0 36 40 64 0.556427794849183
+19 0 2 0 0 36 41 64 0.494900101742817
+19 0 2 0 0 36 42 64 0.430908577685857
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+19 0 2 0 0 36 44 64 0.296475876985386
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+19 0 2 0 0 36 46 64 0.156409670777022
+19 0 2 0 0 36 47 64 0.0847569187948339
+19 0 2 0 0 36 48 64 0.0127509577783597
+19 0 2 0 0 36 49 64 -0.0590051035321118
+19 0 2 0 0 36 50 64 -0.130224720330744
+19 0 2 0 0 36 51 64 -0.200694027314715
+19 0 2 0 0 36 52 64 -0.270112974626331
+19 0 2 0 0 36 53 64 -0.338104885208451
+19 0 2 0 0 36 54 64 -0.404239169055694
+19 0 2 0 0 36 55 64 -0.468098173403886
+19 0 2 0 0 36 56 64 -0.52942528874999
+19 0 2 0 0 36 57 64 -0.588185939596561
+19 0 2 0 0 36 58 64 -0.644278679771899
+19 0 2 0 0 36 59 64 -0.697316604436143
+19 0 2 0 0 36 60 64 -0.746946323478183
+19 0 2 0 0 36 61 64 -0.792940263393696
+19 0 2 0 0 36 62 64 -0.834924929197679
+19 0 2 0 0 36 63 64 -0.8728182592042
+19 0 2 0 0 36 64 64 -0.906098907222421
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 0.547390797934647
+20 0 2 0 0 36 40 64 0.486015497115566
+20 0 2 0 0 36 41 64 0.422021268402188
+20 0 2 0 0 36 42 64 0.355672477598329
+20 0 2 0 0 36 43 64 0.287396182467046
+20 0 2 0 0 36 44 64 0.217613576273549
+20 0 2 0 0 36 45 64 0.146876183435097
+20 0 2 0 0 36 46 64 0.0754804360941887
+20 0 2 0 0 36 47 64 0.00348578507218801
+20 0 2 0 0 36 48 64 -0.0686198966170856
+20 0 2 0 0 36 49 64 -0.140135651607501
+20 0 2 0 0 36 50 64 -0.210645238188613
+20 0 2 0 0 36 51 64 -0.279923966828119
+20 0 2 0 0 36 52 64 -0.347705890546379
+20 0 2 0 0 36 53 64 -0.413626000664477
+20 0 2 0 0 36 54 64 -0.477262203434636
+20 0 2 0 0 36 55 64 -0.538265157092453
+20 0 2 0 0 36 56 64 -0.596500646888943
+20 0 2 0 0 36 57 64 -0.651959720166794
+20 0 2 0 0 36 58 64 -0.704420212465949
+20 0 2 0 0 36 59 64 -0.753467535891081
+20 0 2 0 0 36 60 64 -0.798829856310789
+20 0 2 0 0 36 61 64 -0.840278568362858
+20 0 2 0 0 36 62 64 -0.877441621879469
+20 0 2 0 0 36 63 64 -0.91061825712775
+20 0 2 0 0 36 64 64 -0.938364219815673
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 1.01289465280282
+20 0 1 0 0 36 28 64 0.994251114157714
+20 0 1 0 0 36 30 64 0.949741859778263
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+20 0 1 0 0 36 34 64 0.80708198097823
+20 0 1 0 0 36 36 64 0.713210922402009
+20 0 1 0 0 36 38 64 0.605945814598069
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+20 0 1 0 0 36 42 64 0.355672477598329
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+20 0 1 0 0 36 46 64 0.0754804360941887
+20 0 1 0 0 36 48 64 -0.0686198966170856
+20 0 1 0 0 36 50 64 -0.210645238188613
+20 0 1 0 0 36 52 64 -0.347705890546379
+20 0 1 0 0 36 54 64 -0.477262203434636
+20 0 1 0 0 36 56 64 -0.596500646888943
+20 0 1 0 0 36 58 64 -0.704420212465949
+20 0 1 0 0 36 60 64 -0.798829856310789
+20 0 1 0 0 36 62 64 -0.877441621879469
+20 0 1 0 0 36 64 64 -0.938364219815673
+20 0 1 0 0 36 66 64 -0.979310059262749
+20 0 1 0 0 36 68 64 -1.00175050824948
+20 0 1 0 0 36 70 64 -1.00694923038073
+20 0 1 0 0 36 72 64 -0.994037412468008
+20 0 1 0 0 36 74 64 -0.964776158576498
+20 0 1 0 0 36 76 64 -0.910135593734247
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 -0.256017336857747
+20 0 0 0 0 36 4 64 0.0317998880297366
+20 0 0 0 0 36 8 64 0.317043032565748
+20 0 0 0 0 36 12 64 0.576602766029911
+20 0 0 0 0 36 16 64 0.789446026713757
+20 0 0 0 0 36 20 64 0.938231652887203
+20 0 0 0 0 36 24 64 1.00987776760898
+20 0 0 0 0 36 28 64 0.994251114157714
+20 0 0 0 0 36 32 64 0.887036038382421
+20 0 0 0 0 36 36 64 0.713210922402009
+20 0 0 0 0 36 40 64 0.486015497115566
+20 0 0 0 0 36 44 64 0.217613576273549
+20 0 0 0 0 36 48 64 -0.0686198966170856
+20 0 0 0 0 36 52 64 -0.347705890546379
+20 0 0 0 0 36 56 64 -0.596500646888943
+20 0 0 0 0 36 60 64 -0.798829856310789
+20 0 0 0 0 36 64 64 -0.938364219815673
+20 0 0 0 0 36 68 64 -1.00175050824948
+20 0 0 0 0 36 72 64 -0.994037412468008
+20 0 0 0 0 36 76 64 -0.910135593734247
+20 0 0 0 0 36 80 64 -0.747410204056334
+20 0 0 0 0 36 84 64 -0.523034679614172
+20 0 0 0 0 36 88 64 -0.256017336857747
+20 0 0 0 0 36 92 64 0.0317998880297366
+20 0 0 0 0 36 96 64 0.317043032565748
+20 0 0 0 0 36 100 64 0.576602766029911
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 0.476854384878213
+21 0 2 0 0 36 40 64 0.412792280846994
+21 0 2 0 0 36 41 64 0.346293115176419
+21 0 2 0 0 36 42 64 0.278039286061942
+21 0 2 0 0 36 43 64 0.208251467897186
+21 0 2 0 0 36 44 64 0.137329164280742
+21 0 2 0 0 36 45 64 0.0657616935077378
+21 0 2 0 0 36 46 64 -0.00597276535757763
+21 0 2 0 0 36 47 64 -0.077794621518939
+21 0 2 0 0 36 48 64 -0.149436229380878
+21 0 2 0 0 36 49 64 -0.220216324336542
+21 0 2 0 0 36 50 64 -0.289575809414064
+21 0 2 0 0 36 51 64 -0.357222851979341
+21 0 2 0 0 36 52 64 -0.422910012534177
+21 0 2 0 0 36 53 64 -0.486298006650694
+21 0 2 0 0 36 54 64 -0.547007639945785
+21 0 2 0 0 36 55 64 -0.604794587145786
+21 0 2 0 0 36 56 64 -0.659623199981732
+21 0 2 0 0 36 57 64 -0.711432023770121
+21 0 2 0 0 36 58 64 -0.759887701024172
+21 0 2 0 0 36 59 64 -0.804616911624754
+21 0 2 0 0 36 60 64 -0.845402815355899
+21 0 2 0 0 36 61 64 -0.882005013170885
+21 0 2 0 0 36 62 64 -0.914087444423175
+21 0 2 0 0 36 63 64 -0.941619564012606
+21 0 2 0 0 36 64 64 -0.964118489738785
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 0.402593474048847
+22 0 2 0 0 36 40 64 0.336304088930043
+22 0 2 0 0 36 41 64 0.268205921447321
+22 0 2 0 0 36 42 64 0.198488690819551
+22 0 2 0 0 36 43 64 0.127645796157796
+22 0 2 0 0 36 44 64 0.0560796542940413
+22 0 2 0 0 36 45 64 -0.0158077261192276
+22 0 2 0 0 36 46 64 -0.0874525966599248
+22 0 2 0 0 36 47 64 -0.15863646056142
+22 0 2 0 0 36 48 64 -0.229258325294379
+22 0 2 0 0 36 49 64 -0.298777122046943
+22 0 2 0 0 36 50 64 -0.366535601173705
+22 0 2 0 0 36 51 64 -0.43212256193263
+22 0 2 0 0 36 52 64 -0.495275284240777
+22 0 2 0 0 36 53 64 -0.55569602961829
+22 0 2 0 0 36 54 64 -0.613092531788047
+22 0 2 0 0 36 55 64 -0.667344088789814
+22 0 2 0 0 36 56 64 -0.718456028816509
+22 0 2 0 0 36 57 64 -0.766258915851574
+22 0 2 0 0 36 58 64 -0.810361549847068
+22 0 2 0 0 36 59 64 -0.850467830196086
+22 0 2 0 0 36 60 64 -0.88637950978209
+22 0 2 0 0 36 61 64 -0.917864112729393
+22 0 2 0 0 36 62 64 -0.944611800643194
+22 0 2 0 0 36 63 64 -0.966981514238885
+22 0 2 0 0 36 64 64 -0.983587050760456
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 0.992288501058459
+22 0 1 0 0 36 28 64 0.9501485140219
+22 0 1 0 0 36 30 64 0.883318249912057
+22 0 1 0 0 36 32 64 0.799828207622344
+22 0 1 0 0 36 34 64 0.699935891908118
+22 0 1 0 0 36 36 64 0.588240479799553
+22 0 1 0 0 36 38 64 0.466880359358366
+22 0 1 0 0 36 40 64 0.336304088930043
+22 0 1 0 0 36 42 64 0.198488690819551
+22 0 1 0 0 36 44 64 0.0560796542940413
+22 0 1 0 0 36 46 64 -0.0874525966599248
+22 0 1 0 0 36 48 64 -0.229258325294379
+22 0 1 0 0 36 50 64 -0.366535601173705
+22 0 1 0 0 36 52 64 -0.495275284240777
+22 0 1 0 0 36 54 64 -0.613092531788047
+22 0 1 0 0 36 56 64 -0.718456028816509
+22 0 1 0 0 36 58 64 -0.810361549847068
+22 0 1 0 0 36 60 64 -0.88637950978209
+22 0 1 0 0 36 62 64 -0.944611800643194
+22 0 1 0 0 36 64 64 -0.983587050760456
+22 0 1 0 0 36 66 64 -1.00222881198145
+22 0 1 0 0 36 68 64 -1.00286103279205
+22 0 1 0 0 36 70 64 -0.986187658348816
+22 0 1 0 0 36 72 64 -0.951351551201618
+22 0 1 0 0 36 74 64 -0.899158267496018
+22 0 1 0 0 36 76 64 -0.82586444712112
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 0.326139866482094
+23 0 2 0 0 36 40 64 0.258016260879356
+23 0 2 0 0 36 41 64 0.18825815011224
+23 0 2 0 0 36 42 64 0.117528755250118
+23 0 2 0 0 36 43 64 0.0460836503580148
+23 0 2 0 0 36 44 64 -0.0256559658734615
+23 0 2 0 0 36 45 64 -0.0973475648995841
+23 0 2 0 0 36 46 64 -0.168449623600838
+23 0 2 0 0 36 47 64 -0.238570355237848
+23 0 2 0 0 36 48 64 -0.307653804663775
+23 0 2 0 0 36 49 64 -0.375367950041858
+23 0 2 0 0 36 50 64 -0.441052355292779
+23 0 2 0 0 36 51 64 -0.504155964482794
+23 0 2 0 0 36 52 64 -0.564357796931769
+23 0 2 0 0 36 53 64 -0.621413524811536
+23 0 2 0 0 36 54 64 -0.67515757464824
+23 0 2 0 0 36 55 64 -0.725581511423646
+23 0 2 0 0 36 56 64 -0.772659406269431
+23 0 2 0 0 36 57 64 -0.81610355286907
+23 0 2 0 0 36 58 64 -0.855533935597002
+23 0 2 0 0 36 59 64 -0.890729211934757
+23 0 2 0 0 36 60 64 -0.921489909604448
+23 0 2 0 0 36 61 64 -0.947612083314747
+23 0 2 0 0 36 62 64 -0.968833736057359
+23 0 2 0 0 36 63 64 -0.985231043778208
+23 0 2 0 0 36 64 64 -0.996392813864426
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 0.246939294401478
+24 0 2 0 0 36 40 64 0.177440350190052
+24 0 2 0 0 36 41 64 0.106980882271007
+24 0 2 0 0 36 42 64 0.0356861517431867
+24 0 2 0 0 36 43 64 -0.0358973315173749
+24 0 2 0 0 36 44 64 -0.107354344701252
+24 0 2 0 0 36 45 64 -0.178351301726879
+24 0 2 0 0 36 46 64 -0.248432019776251
+24 0 2 0 0 36 47 64 -0.317082551444918
+24 0 2 0 0 36 48 64 -0.384163760838534
+24 0 2 0 0 36 49 64 -0.449536718588972
+24 0 2 0 0 36 50 64 -0.512648637360594
+24 0 2 0 0 36 51 64 -0.572841370292609
+24 0 2 0 0 36 52 64 -0.629703281572905
+24 0 2 0 0 36 53 64 -0.683044488549248
+24 0 2 0 0 36 54 64 -0.732842056148138
+24 0 2 0 0 36 55 64 -0.779156508504886
+24 0 2 0 0 36 56 64 -0.821872458487967
+24 0 2 0 0 36 57 64 -0.860622054588418
+24 0 2 0 0 36 58 64 -0.895091199502361
+24 0 2 0 0 36 59 64 -0.925107976781626
+24 0 2 0 0 36 60 64 -0.950476008464395
+24 0 2 0 0 36 61 64 -0.971039739184779
+24 0 2 0 0 36 62 64 -0.986574240928036
+24 0 2 0 0 36 63 64 -0.997554129543281
+24 0 2 0 0 36 64 64 -1.00266147538945
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 0.944662057782436
+24 0 1 0 0 36 28 64 0.879904461480388
+24 0 1 0 0 36 30 64 0.793341456372752
+24 0 1 0 0 36 32 64 0.691232813167929
+24 0 1 0 0 36 34 64 0.574568490687822
+24 0 1 0 0 36 36 64 0.448049545757206
+24 0 1 0 0 36 38 64 0.315353969450552
+24 0 1 0 0 36 40 64 0.177440350190052
+24 0 1 0 0 36 42 64 0.0356861517431867
+24 0 1 0 0 36 44 64 -0.107354344701252
+24 0 1 0 0 36 46 64 -0.248432019776251
+24 0 1 0 0 36 48 64 -0.384163760838534
+24 0 1 0 0 36 50 64 -0.512648637360594
+24 0 1 0 0 36 52 64 -0.629703281572905
+24 0 1 0 0 36 54 64 -0.732842056148138
+24 0 1 0 0 36 56 64 -0.821872458487967
+24 0 1 0 0 36 58 64 -0.895091199502361
+24 0 1 0 0 36 60 64 -0.950476008464395
+24 0 1 0 0 36 62 64 -0.986574240928036
+24 0 1 0 0 36 64 64 -1.00266147538945
+24 0 1 0 0 36 66 64 -0.998932573693175
+24 0 1 0 0 36 68 64 -0.977864190813084
+24 0 1 0 0 36 70 64 -0.939587431907027
+24 0 1 0 0 36 72 64 -0.883703794112077
+24 0 1 0 0 36 74 64 -0.812289621209779
+24 0 1 0 0 36 76 64 -0.717871258162536
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 0.0691497834753681
+24 0 0 0 0 36 4 64 0.351774097477971
+24 0 0 0 0 36 8 64 0.605909730576291
+24 0 0 0 0 36 12 64 0.810962272697769
+24 0 0 0 0 36 16 64 0.950283330096302
+24 0 0 0 0 36 20 64 1.01217033796265
+24 0 0 0 0 36 24 64 0.989419300299912
+24 0 0 0 0 36 28 64 0.879904461480388
+24 0 0 0 0 36 32 64 0.691232813167929
+24 0 0 0 0 36 36 64 0.448049545757206
+24 0 0 0 0 36 40 64 0.177440350190052
+24 0 0 0 0 36 44 64 -0.107354344701252
+24 0 0 0 0 36 48 64 -0.384163760838534
+24 0 0 0 0 36 52 64 -0.629703281572905
+24 0 0 0 0 36 56 64 -0.821872458487967
+24 0 0 0 0 36 60 64 -0.950476008464395
+24 0 0 0 0 36 64 64 -1.00266147538945
+24 0 0 0 0 36 68 64 -0.977864190813084
+24 0 0 0 0 36 72 64 -0.883703794112077
+24 0 0 0 0 36 76 64 -0.717871258162536
+24 0 0 0 0 36 80 64 -0.48868436733559
+24 0 0 0 0 36 84 64 -0.218912557530361
+24 0 0 0 0 36 88 64 0.0691497834753681
+24 0 0 0 0 36 92 64 0.351774097477971
+24 0 0 0 0 36 96 64 0.605909730576291
+24 0 0 0 0 36 100 64 0.810962272697769
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/phi.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/phi.zl
new file mode 100644
index 000000000..2cdf41238
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/phi.zl
@@ -0,0 +1,1757 @@
+# SPACETIMETOY::phi z (phi)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 0.207911690817761
+0 0 2 0 0 36 48 52 0.309016994374949
+0 0 2 0 0 36 48 53 0.406736643075801
+0 0 2 0 0 36 48 54 0.500000000000001
+0 0 2 0 0 36 48 55 0.587785252292474
+0 0 2 0 0 36 48 56 0.669130606358859
+0 0 2 0 0 36 48 57 0.743144825477395
+0 0 2 0 0 36 48 58 0.809016994374948
+0 0 2 0 0 36 48 59 0.866025403784439
+0 0 2 0 0 36 48 60 0.913545457642601
+0 0 2 0 0 36 48 61 0.951056516295154
+0 0 2 0 0 36 48 62 0.978147600733806
+0 0 2 0 0 36 48 63 0.994521895368273
+0 0 2 0 0 36 48 64 1
+0 0 2 0 0 36 48 65 0.994521895368273
+0 0 2 0 0 36 48 66 0.978147600733806
+0 0 2 0 0 36 48 67 0.951056516295154
+0 0 2 0 0 36 48 68 0.913545457642601
+0 0 2 0 0 36 48 69 0.866025403784439
+0 0 2 0 0 36 48 70 0.809016994374948
+0 0 2 0 0 36 48 71 0.743144825477395
+0 0 2 0 0 36 48 72 0.669130606358859
+0 0 2 0 0 36 48 73 0.587785252292474
+0 0 2 0 0 36 48 74 0.500000000000001
+0 0 2 0 0 36 48 75 0.406736643075801
+0 0 2 0 0 36 48 76 0.309016994374949
+0 0 2 0 0 36 48 77 0.207911690817761
+0 0 2 0 0 36 48 78 0.104528463267655
+0 0 2 0 0 36 48 79 1.61554255216634e-15
+0 0 2 0 0 36 48 80 -0.104528463267652
+0 0 2 0 0 36 48 81 -0.207911690817757
+0 0 2 0 0 36 48 82 -0.309016994374945
+0 0 2 0 0 36 48 83 -0.406736643075798
+0 0 2 0 0 36 48 84 -0.499999999999998
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -1
+0 0 1 0 0 36 48 36 -0.978147600733805
+0 0 1 0 0 36 48 38 -0.9135454576426
+0 0 1 0 0 36 48 40 -0.809016994374946
+0 0 1 0 0 36 48 42 -0.669130606358856
+0 0 1 0 0 36 48 44 -0.499999999999998
+0 0 1 0 0 36 48 46 -0.309016994374945
+0 0 1 0 0 36 48 48 -0.104528463267652
+0 0 1 0 0 36 48 50 0.104528463267655
+0 0 1 0 0 36 48 52 0.309016994374949
+0 0 1 0 0 36 48 54 0.500000000000001
+0 0 1 0 0 36 48 56 0.669130606358859
+0 0 1 0 0 36 48 58 0.809016994374948
+0 0 1 0 0 36 48 60 0.913545457642601
+0 0 1 0 0 36 48 62 0.978147600733806
+0 0 1 0 0 36 48 64 1
+0 0 1 0 0 36 48 66 0.978147600733806
+0 0 1 0 0 36 48 68 0.913545457642601
+0 0 1 0 0 36 48 70 0.809016994374948
+0 0 1 0 0 36 48 72 0.669130606358859
+0 0 1 0 0 36 48 74 0.500000000000001
+0 0 1 0 0 36 48 76 0.309016994374949
+0 0 1 0 0 36 48 78 0.104528463267655
+0 0 1 0 0 36 48 80 -0.104528463267652
+0 0 1 0 0 36 48 82 -0.309016994374945
+0 0 1 0 0 36 48 84 -0.499999999999998
+0 0 1 0 0 36 48 86 -0.669130606358856
+0 0 1 0 0 36 48 88 -0.809016994374946
+0 0 1 0 0 36 48 90 -0.9135454576426
+0 0 1 0 0 36 48 92 -0.978147600733805
+0 0 1 0 0 36 48 94 -1
+0 0 1 0 0 36 48 96 -0.978147600733806
+0 0 1 0 0 36 48 98 -0.913545457642603
+0 0 1 0 0 36 48 100 -0.80901699437495
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 0.913545457642604
+0 0 0 0 0 36 48 4 1
+0 0 0 0 0 36 48 8 0.913545457642598
+0 0 0 0 0 36 48 12 0.669130606358854
+0 0 0 0 0 36 48 16 0.309016994374942
+0 0 0 0 0 36 48 20 -0.104528463267659
+0 0 0 0 0 36 48 24 -0.500000000000004
+0 0 0 0 0 36 48 28 -0.80901699437495
+0 0 0 0 0 36 48 32 -0.978147600733806
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+0 0 0 0 0 36 48 44 -0.499999999999998
+0 0 0 0 0 36 48 48 -0.104528463267652
+0 0 0 0 0 36 48 52 0.309016994374949
+0 0 0 0 0 36 48 56 0.669130606358859
+0 0 0 0 0 36 48 60 0.913545457642601
+0 0 0 0 0 36 48 64 1
+0 0 0 0 0 36 48 68 0.913545457642601
+0 0 0 0 0 36 48 72 0.669130606358859
+0 0 0 0 0 36 48 76 0.309016994374949
+0 0 0 0 0 36 48 80 -0.104528463267652
+0 0 0 0 0 36 48 84 -0.499999999999998
+0 0 0 0 0 36 48 88 -0.809016994374946
+0 0 0 0 0 36 48 92 -0.978147600733805
+0 0 0 0 0 36 48 96 -0.978147600733806
+0 0 0 0 0 36 48 100 -0.80901699437495
+0 0 0 0 0 36 48 104 -0.500000000000003
+0 0 0 0 0 36 48 108 -0.104528463267659
+0 0 0 0 0 36 48 112 0.309016994374942
+0 0 0 0 0 36 48 116 0.669130606358854
+0 0 0 0 0 36 48 120 0.913545457642598
+0 0 0 0 0 36 48 124 1
+0 0 0 0 0 36 48 128 0.913545457642604
+0 0 0 0 0 36 48 132 0.669130606358864
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 0.287188573396237
+1 0 2 0 0 36 48 52 0.38579113635355
+1 0 2 0 0 36 48 53 0.480293625138302
+1 0 2 0 0 36 48 54 0.569446239942648
+1 0 2 0 0 36 48 55 0.652267770134185
+1 0 2 0 0 36 48 56 0.727942918140326
+1 0 2 0 0 36 48 57 0.795642571203472
+1 0 2 0 0 36 48 58 0.854624997757602
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+1 0 2 0 0 36 48 61 0.973325576078011
+1 0 2 0 0 36 48 62 0.992031329435902
+1 0 2 0 0 36 48 63 0.999868179952591
+1 0 2 0 0 36 48 64 0.996750265453852
+1 0 2 0 0 36 48 65 0.982711746463398
+1 0 2 0 0 36 48 66 0.957906431933036
+1 0 2 0 0 36 48 67 0.922606094079609
+1 0 2 0 0 36 48 68 0.877197490791708
+1 0 2 0 0 36 48 69 0.822178128229317
+1 0 2 0 0 36 48 70 0.758150810042212
+1 0 2 0 0 36 48 71 0.685817032927027
+1 0 2 0 0 36 48 72 0.605969300882653
+1 0 2 0 0 36 48 73 0.51948244237058
+1 0 2 0 0 36 48 74 0.427304025511206
+1 0 2 0 0 36 48 75 0.330443976329214
+1 0 2 0 0 36 48 76 0.229963513792713
+1 0 2 0 0 36 48 77 0.126963522876139
+1 0 2 0 0 36 48 78 0.0225724930341084
+1 0 2 0 0 36 48 79 -0.0820658457652012
+1 0 2 0 0 36 48 80 -0.185805053984925
+1 0 2 0 0 36 48 81 -0.287508543150983
+1 0 2 0 0 36 48 82 -0.385960817738054
+1 0 2 0 0 36 48 83 -0.480132411883278
+1 0 2 0 0 36 48 84 -0.569256168656214
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 0.365035849542776
+2 0 2 0 0 36 48 52 0.460472702730666
+2 0 2 0 0 36 48 53 0.550586569509256
+2 0 2 0 0 36 48 54 0.63504824566766
+2 0 2 0 0 36 48 55 0.712361088489937
+2 0 2 0 0 36 48 56 0.781855441478691
+2 0 2 0 0 36 48 57 0.842783492338281
+2 0 2 0 0 36 48 58 0.894477830892029
+2 0 2 0 0 36 48 59 0.936372083149004
+2 0 2 0 0 36 48 60 0.968007246914543
+2 0 2 0 0 36 48 61 0.989036720714347
+2 0 2 0 0 36 48 62 0.999230101232765
+2 0 2 0 0 36 48 63 0.998475707659735
+2 0 2 0 0 36 48 64 0.98678180528911
+2 0 2 0 0 36 48 65 0.96427651496237
+2 0 2 0 0 36 48 66 0.931206409349868
+2 0 2 0 0 36 48 67 0.88793381144906
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+2 0 2 0 0 36 48 69 0.772784139596274
+2 0 2 0 0 36 48 70 0.702168669545732
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+2 0 2 0 0 36 48 76 0.149350967871179
+2 0 2 0 0 36 48 77 0.0451503191107811
+2 0 2 0 0 36 48 78 -0.0595450059941062
+2 0 2 0 0 36 48 79 -0.163587943552729
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+2 0 2 0 0 36 48 83 -0.550823367165131
+2 0 2 0 0 36 48 84 -0.635188326034354
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -0.988870028237692
+2 0 1 0 0 36 48 36 -0.934603612066528
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+2 0 1 0 0 36 48 84 -0.635188326034354
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+2 0 1 0 0 36 48 100 -0.706311124055716
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 0.439995535439657
+3 0 2 0 0 36 48 52 0.531618257213409
+3 0 2 0 0 36 48 53 0.617194625603937
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+3 0 2 0 0 36 48 63 0.990353091766641
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+3 0 2 0 0 36 48 83 -0.617258532315254
+3 0 2 0 0 36 48 84 -0.696441319772915
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 0.512533001667095
+4 0 2 0 0 36 48 52 0.59970894523274
+4 0 2 0 0 36 48 53 0.679703348070417
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+4 0 2 0 0 36 48 76 -0.0143717285012531
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+4 0 2 0 0 36 48 83 -0.68018479771781
+4 0 2 0 0 36 48 84 -0.753466867325731
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -0.953659417035636
+4 0 1 0 0 36 48 36 -0.866942029029302
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+4 0 1 0 0 36 48 98 -0.741129137586217
+4 0 1 0 0 36 48 100 -0.583957042337678
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 1.00200581931202
+4 0 0 0 0 36 48 4 0.954338021485405
+4 0 0 0 0 36 48 8 0.741656509855213
+4 0 0 0 0 36 48 12 0.400735849933188
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+4 0 0 0 0 36 48 128 0.741656509855213
+4 0 0 0 0 36 48 132 0.400735849933188
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 0.581184951999992
+5 0 2 0 0 36 48 52 0.663316491405593
+5 0 2 0 0 36 48 53 0.737711564244189
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+5 0 2 0 0 36 48 60 1.00059935129565
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+5 0 2 0 0 36 48 63 0.954178344336717
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+5 0 2 0 0 36 48 84 -0.805066787870593
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 0.646400016391095
+6 0 2 0 0 36 48 52 0.722916987526322
+6 0 2 0 0 36 48 53 0.790809926992064
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+6 0 2 0 0 36 48 84 -0.851640475014905
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -0.893985552941931
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+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+8 0 2 0 0 36 48 84 -0.92709375139457
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+8 0 1 0 0 36 48 98 -0.489661910855789
+8 0 1 0 0 36 48 100 -0.296731874987596
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 0.987091761793154
+8 0 0 0 0 36 48 4 0.809627151455666
+8 0 0 0 0 36 48 8 0.492170651399723
+8 0 0 0 0 36 48 12 0.089613374486772
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+8 0 0 0 0 36 48 128 0.492170651399723
+8 0 0 0 0 36 48 132 0.089613374486772
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 0.813602597892534
+9 0 2 0 0 36 48 52 0.870302071821364
+9 0 2 0 0 36 48 53 0.917010459427789
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+9 0 2 0 0 36 48 84 -0.955548290159488
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 0.859084564023176
+10 0 2 0 0 36 48 52 0.908335999669084
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+10 0 2 0 0 36 48 83 -0.948625885916752
+10 0 2 0 0 36 48 84 -0.977821429307796
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -0.704732372349356
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+10 0 1 0 0 36 48 100 -0.140762289924713
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 0.89853036246844
+11 0 2 0 0 36 48 52 0.94001378025327
+11 0 2 0 0 36 48 53 0.970729989988871
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+11 0 2 0 0 36 48 84 -0.993399247897173
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 0.932172876642111
+12 0 2 0 0 36 48 52 0.96560505706444
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+12 0 2 0 0 36 48 84 -1.00245305290839
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -0.578655793240479
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+12 0 1 0 0 36 48 100 0.0234452960633959
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 0.869869087008815
+12 0 0 0 0 36 48 4 0.58039296967562
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+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 0.959370174823551
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+13 0 2 0 0 36 48 53 0.998384132245256
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+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 0.980264029760164
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+14 0 2 0 0 36 48 84 -1.00029295251873
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 -0.440249024534601
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+14 0 1 0 0 36 48 100 0.183346294237491
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 0.994469581165326
+15 0 2 0 0 36 48 52 1.00264065806117
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+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 1.0020409151829
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+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 0.996926496821898
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+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 -0.128289292614412
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+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 0.98438916892229
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+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 0.965117854030767
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+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 0.0373311491792793
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+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+21 0 2 0 0 36 48 61 0.162941024624358
+21 0 2 0 0 36 48 62 0.0590703877657067
+21 0 2 0 0 36 48 63 -0.0454184326445197
+21 0 2 0 0 36 48 64 -0.149436229380878
+21 0 2 0 0 36 48 65 -0.251844721768652
+21 0 2 0 0 36 48 66 -0.351506146158069
+21 0 2 0 0 36 48 67 -0.447320799773522
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+21 0 2 0 0 36 48 69 -0.623252044226477
+21 0 2 0 0 36 48 70 -0.701436753276386
+21 0 2 0 0 36 48 71 -0.771924937141806
+21 0 2 0 0 36 48 72 -0.833931262598805
+21 0 2 0 0 36 48 73 -0.88678107115482
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+21 0 2 0 0 36 48 75 -0.96316037016853
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+21 0 2 0 0 36 48 77 -0.998501327111518
+21 0 2 0 0 36 48 78 -1.00009922302036
+21 0 2 0 0 36 48 79 -0.990887130619371
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+21 0 2 0 0 36 48 81 -0.94045164423769
+21 0 2 0 0 36 48 82 -0.899626107622355
+21 0 2 0 0 36 48 83 -0.848988672968935
+21 0 2 0 0 36 48 84 -0.788499102761555
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 0.907552341261264
+22 0 2 0 0 36 48 52 0.857699816104863
+22 0 2 0 0 36 48 53 0.798194162400258
+22 0 2 0 0 36 48 54 0.73005504692868
+22 0 2 0 0 36 48 55 0.653882671680102
+22 0 2 0 0 36 48 56 0.570616911465253
+22 0 2 0 0 36 48 57 0.481194160511569
+22 0 2 0 0 36 48 58 0.386611309534065
+22 0 2 0 0 36 48 59 0.287817044215167
+22 0 2 0 0 36 48 60 0.185902688105803
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+22 0 2 0 0 36 48 62 -0.0223465861244122
+22 0 2 0 0 36 48 63 -0.126492484599142
+22 0 2 0 0 36 48 64 -0.229258325294379
+22 0 2 0 0 36 48 65 -0.329543069030937
+22 0 2 0 0 36 48 66 -0.426235915975817
+22 0 2 0 0 36 48 67 -0.518266697728393
+22 0 2 0 0 36 48 68 -0.604620847625137
+22 0 2 0 0 36 48 69 -0.684349422142383
+22 0 2 0 0 36 48 70 -0.756573302116507
+22 0 2 0 0 36 48 71 -0.820490706161337
+22 0 2 0 0 36 48 72 -0.875393393929484
+22 0 2 0 0 36 48 73 -0.92071113566064
+22 0 2 0 0 36 48 74 -0.956059835707536
+22 0 2 0 0 36 48 75 -0.981200911456763
+22 0 2 0 0 36 48 76 -0.995892426854003
+22 0 2 0 0 36 48 77 -0.99986078567448
+22 0 2 0 0 36 48 78 -0.992996150010186
+22 0 2 0 0 36 48 79 -0.975378792453563
+22 0 2 0 0 36 48 80 -0.947157534642602
+22 0 2 0 0 36 48 81 -0.908619734750858
+22 0 2 0 0 36 48 82 -0.860073694845728
+22 0 2 0 0 36 48 83 -0.802285575842314
+22 0 2 0 0 36 48 84 -0.734668001507003
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 0.197701779898775
+22 0 1 0 0 36 48 36 0.401450578107875
+22 0 1 0 0 36 48 38 0.583386836591406
+22 0 1 0 0 36 48 40 0.739088026970532
+22 0 1 0 0 36 48 42 0.864097455299371
+22 0 1 0 0 36 48 44 0.953344629967111
+22 0 1 0 0 36 48 46 0.998182741503783
+22 0 1 0 0 36 48 48 0.99554090816956
+22 0 1 0 0 36 48 50 0.947534843321036
+22 0 1 0 0 36 48 52 0.857699816104863
+22 0 1 0 0 36 48 54 0.73005504692868
+22 0 1 0 0 36 48 56 0.570616911465253
+22 0 1 0 0 36 48 58 0.386611309534065
+22 0 1 0 0 36 48 60 0.185902688105803
+22 0 1 0 0 36 48 62 -0.0223465861244122
+22 0 1 0 0 36 48 64 -0.229258325294379
+22 0 1 0 0 36 48 66 -0.426235915975817
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+22 0 1 0 0 36 48 72 -0.875393393929484
+22 0 1 0 0 36 48 74 -0.956059835707536
+22 0 1 0 0 36 48 76 -0.995892426854003
+22 0 1 0 0 36 48 78 -0.992996150010186
+22 0 1 0 0 36 48 80 -0.947157534642602
+22 0 1 0 0 36 48 82 -0.860073694845728
+22 0 1 0 0 36 48 84 -0.734668001507003
+22 0 1 0 0 36 48 86 -0.576742072185976
+22 0 1 0 0 36 48 88 -0.394873112036038
+22 0 1 0 0 36 48 90 -0.198465885154071
+22 0 1 0 0 36 48 92 0.0045437215407481
+22 0 1 0 0 36 48 94 0.208529632345207
+22 0 1 0 0 36 48 96 0.405452664204317
+22 0 1 0 0 36 48 98 0.587309900421356
+22 0 1 0 0 36 48 100 0.74777121772988
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 0.869729156987881
+23 0 2 0 0 36 48 52 0.812551743167661
+23 0 2 0 0 36 48 53 0.746123309540851
+23 0 2 0 0 36 48 54 0.67175982744315
+23 0 2 0 0 36 48 55 0.58999982012558
+23 0 2 0 0 36 48 56 0.501842965458888
+23 0 2 0 0 36 48 57 0.408253190558711
+23 0 2 0 0 36 48 58 0.310297386611611
+23 0 2 0 0 36 48 59 0.208994944011195
+23 0 2 0 0 36 48 60 0.105399254637756
+23 0 2 0 0 36 48 61 0.000768364303164885
+23 0 2 0 0 36 48 62 -0.103660536469716
+23 0 2 0 0 36 48 63 -0.206806522753918
+23 0 2 0 0 36 48 64 -0.307653804663775
+23 0 2 0 0 36 48 65 -0.405154586492326
+23 0 2 0 0 36 48 66 -0.498240663181513
+23 0 2 0 0 36 48 67 -0.585880730881298
+23 0 2 0 0 36 48 68 -0.667104892950987
+23 0 2 0 0 36 48 69 -0.741017625742017
+23 0 2 0 0 36 48 70 -0.806800397584513
+23 0 2 0 0 36 48 71 -0.86372183748105
+23 0 2 0 0 36 48 72 -0.911164561786678
+23 0 2 0 0 36 48 73 -0.948676931685235
+23 0 2 0 0 36 48 74 -0.975990334287853
+23 0 2 0 0 36 48 75 -0.992916157554313
+23 0 2 0 0 36 48 76 -0.999219818295391
+23 0 2 0 0 36 48 77 -0.994707485943375
+23 0 2 0 0 36 48 78 -0.979399116189972
+23 0 2 0 0 36 48 79 -0.953452412605792
+23 0 2 0 0 36 48 80 -0.917104929113486
+23 0 2 0 0 36 48 81 -0.870748087344894
+23 0 2 0 0 36 48 82 -0.814789255865428
+23 0 2 0 0 36 48 83 -0.74991918073661
+23 0 2 0 0 36 48 84 -0.676293858048117
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 0.825809410055322
+24 0 2 0 0 36 48 52 0.761709249493908
+24 0 2 0 0 36 48 53 0.689070887188291
+24 0 2 0 0 36 48 54 0.608959593137288
+24 0 2 0 0 36 48 55 0.52214559092795
+24 0 2 0 0 36 48 56 0.429676403634301
+24 0 2 0 0 36 48 57 0.332548322406461
+24 0 2 0 0 36 48 58 0.231860018908666
+24 0 2 0 0 36 48 59 0.128706777831417
+24 0 2 0 0 36 48 60 0.024132099672116
+24 0 2 0 0 36 48 61 -0.0806563494626825
+24 0 2 0 0 36 48 62 -0.184375866446076
+24 0 2 0 0 36 48 63 -0.285879171005395
+24 0 2 0 0 36 48 64 -0.384163760838534
+24 0 2 0 0 36 48 65 -0.478242807260888
+24 0 2 0 0 36 48 66 -0.567107636819909
+24 0 2 0 0 36 48 67 -0.649777648229142
+24 0 2 0 0 36 48 68 -0.725333756206425
+24 0 2 0 0 36 48 69 -0.792938790340535
+24 0 2 0 0 36 48 70 -0.851840149711203
+24 0 2 0 0 36 48 71 -0.901387276707882
+24 0 2 0 0 36 48 72 -0.941068671423815
+24 0 2 0 0 36 48 73 -0.970556924318297
+24 0 2 0 0 36 48 74 -0.989673964880075
+24 0 2 0 0 36 48 75 -0.998250283778953
+24 0 2 0 0 36 48 76 -0.996077498105497
+24 0 2 0 0 36 48 77 -0.983078536611057
+24 0 2 0 0 36 48 78 -0.959389667225393
+24 0 2 0 0 36 48 79 -0.925242718995976
+24 0 2 0 0 36 48 80 -0.880980078758948
+24 0 2 0 0 36 48 81 -0.827089506656694
+24 0 2 0 0 36 48 82 -0.764072692738768
+24 0 2 0 0 36 48 83 -0.692805049897283
+24 0 2 0 0 36 48 84 -0.61302142342582
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 0.357156644570087
+24 0 1 0 0 36 48 36 0.546799120288983
+24 0 1 0 0 36 48 38 0.706145300012201
+24 0 1 0 0 36 48 40 0.836022265750906
+24 0 1 0 0 36 48 42 0.929344230002949
+24 0 1 0 0 36 48 44 0.984754343342359
+24 0 1 0 0 36 48 46 0.996404496748103
+24 0 1 0 0 36 48 48 0.960881422800186
+24 0 1 0 0 36 48 50 0.880896957314851
+24 0 1 0 0 36 48 52 0.761709249493908
+24 0 1 0 0 36 48 54 0.608959593137288
+24 0 1 0 0 36 48 56 0.429676403634301
+24 0 1 0 0 36 48 58 0.231860018908666
+24 0 1 0 0 36 48 60 0.024132099672116
+24 0 1 0 0 36 48 62 -0.184375866446076
+24 0 1 0 0 36 48 64 -0.384163760838534
+24 0 1 0 0 36 48 66 -0.567107636819909
+24 0 1 0 0 36 48 68 -0.725333756206425
+24 0 1 0 0 36 48 70 -0.851840149711203
+24 0 1 0 0 36 48 72 -0.941068671423815
+24 0 1 0 0 36 48 74 -0.989673964880075
+24 0 1 0 0 36 48 76 -0.996077498105497
+24 0 1 0 0 36 48 78 -0.959389667225393
+24 0 1 0 0 36 48 80 -0.880980078758948
+24 0 1 0 0 36 48 82 -0.764072692738768
+24 0 1 0 0 36 48 84 -0.61302142342582
+24 0 1 0 0 36 48 86 -0.435266482102221
+24 0 1 0 0 36 48 88 -0.24041737995126
+24 0 1 0 0 36 48 90 -0.0377171971374865
+24 0 1 0 0 36 48 92 0.16601965505421
+24 0 1 0 0 36 48 94 0.364702468852252
+24 0 1 0 0 36 48 96 0.549422545758007
+24 0 1 0 0 36 48 98 0.714825429630517
+24 0 1 0 0 36 48 100 0.850753670606814
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 0.0661161781516523
+24 0 0 0 0 36 48 4 -0.351768763968126
+24 0 0 0 0 36 48 8 -0.708830246750826
+24 0 0 0 0 36 48 12 -0.943328535092172
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+24 0 0 0 0 36 48 36 0.546799120288983
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+24 0 0 0 0 36 48 44 0.984754343342359
+24 0 0 0 0 36 48 48 0.960881422800186
+24 0 0 0 0 36 48 52 0.761709249493908
+24 0 0 0 0 36 48 56 0.429676403634301
+24 0 0 0 0 36 48 60 0.024132099672116
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+24 0 0 0 0 36 48 68 -0.725333756206425
+24 0 0 0 0 36 48 72 -0.941068671423815
+24 0 0 0 0 36 48 76 -0.996077498105497
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+24 0 0 0 0 36 48 84 -0.61302142342582
+24 0 0 0 0 36 48 88 -0.24041737995126
+24 0 0 0 0 36 48 92 0.16601965505421
+24 0 0 0 0 36 48 96 0.549422545758007
+24 0 0 0 0 36 48 100 0.850753670606814
+24 0 0 0 0 36 48 104 1.00445602617874
+24 0 0 0 0 36 48 108 0.985152109890395
+24 0 0 0 0 36 48 112 0.79742933233668
+24 0 0 0 0 36 48 116 0.472580681461375
+24 0 0 0 0 36 48 120 0.0661161781516523
+24 0 0 0 0 36 48 124 -0.351768763968126
+24 0 0 0 0 36 48 128 -0.708830246750826
+24 0 0 0 0 36 48 132 -0.943328535092172
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/psi.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/psi.xl
new file mode 100644
index 000000000..24c6a31f8
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/psi.xl
@@ -0,0 +1,1082 @@
+# SPACETIMETOY::psi x (psi)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0.298947080801325
+0 0 2 0 0 28 48 64 0.145401782335003
+0 0 2 0 0 29 48 64 -0.0097365684858618
+0 0 2 0 0 30 48 64 -0.164768243424887
+0 0 2 0 0 31 48 64 -0.317994683008978
+0 0 2 0 0 32 48 64 -0.467737106301357
+0 0 2 0 0 33 48 64 -0.612354903976816
+0 0 2 0 0 34 48 64 -0.750263613180803
+0 0 2 0 0 35 48 64 -0.879952277236027
+0 0 2 0 0 36 48 64 -1
+0 0 2 0 0 37 48 64 -1.10909151350052
+0 0 2 0 0 38 48 64 -1.20603158828681
+0 0 2 0 0 39 48 64 -1.28975812861349
+0 0 2 0 0 40 48 64 -1.35935380898385
+0 0 2 0 0 41 48 64 -1.4140561245599
+0 0 2 0 0 42 48 64 -1.45326574532501
+0 0 2 0 0 43 48 64 -1.47655308246893
+0 0 2 0 0 44 48 64 -1.48366299505272
+0 0 2 0 0 45 48 64 -1.47451758538627
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 1.35143337062181
+0 0 1 0 0 20 48 64 1.19458556555896
+0 0 1 0 0 22 48 64 0.985528639023651
+0 0 1 0 0 24 48 64 0.733399381871916
+0 0 1 0 0 26 48 64 0.449217052491691
+0 0 1 0 0 28 48 64 0.145401782335003
+0 0 1 0 0 30 48 64 -0.164768243424887
+0 0 1 0 0 32 48 64 -0.467737106301357
+0 0 1 0 0 34 48 64 -0.750263613180803
+0 0 1 0 0 36 48 64 -1
+0 0 1 0 0 38 48 64 -1.20603158828681
+0 0 1 0 0 40 48 64 -1.35935380898385
+0 0 1 0 0 42 48 64 -1.45326574532501
+0 0 1 0 0 44 48 64 -1.48366299505272
+0 0 1 0 0 46 48 64 -1.44921705249169
+0 0 1 0 0 48 48 64 -1.35143337062181
+0 0 1 0 0 50 48 64 -1.19458556555896
+0 0 1 0 0 52 48 64 -0.985528639023654
+0 0 1 0 0 54 48 64 -0.73339938187192
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 0.164768243424892
+0 0 0 0 0 4 48 64 0.750263613180806
+0 0 0 0 0 8 48 64 1.20603158828681
+0 0 0 0 0 12 48 64 1.45326574532501
+0 0 0 0 0 16 48 64 1.44921705249169
+0 0 0 0 0 20 48 64 1.19458556555896
+0 0 0 0 0 24 48 64 0.733399381871916
+0 0 0 0 0 28 48 64 0.145401782335003
+0 0 0 0 0 32 48 64 -0.467737106301357
+0 0 0 0 0 36 48 64 -1
+0 0 0 0 0 40 48 64 -1.35935380898385
+0 0 0 0 0 44 48 64 -1.48366299505272
+0 0 0 0 0 48 48 64 -1.35143337062181
+0 0 0 0 0 52 48 64 -0.985528639023654
+0 0 0 0 0 56 48 64 -0.449217052491695
+0 0 0 0 0 60 48 64 0.164768243424883
+0 0 0 0 0 64 48 64 0.750263613180799
+0 0 0 0 0 68 48 64 1.20603158828681
+0 0 0 0 0 72 48 64 1.45326574532501
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0.179297020001389
+1 0 2 0 0 28 48 64 0.0243887013112618
+1 0 2 0 0 29 48 64 -0.13181448470526
+1 0 2 0 0 30 48 64 -0.285168675998377
+1 0 2 0 0 31 48 64 -0.435797442903007
+1 0 2 0 0 32 48 64 -0.581651521826713
+1 0 2 0 0 33 48 64 -0.721132904958879
+1 0 2 0 0 34 48 64 -0.852713405077554
+1 0 2 0 0 35 48 64 -0.974951398688447
+1 0 2 0 0 36 48 64 -1.08650762075361
+1 0 2 0 0 37 48 64 -1.18615983795947
+1 0 2 0 0 38 48 64 -1.27281623976073
+1 0 2 0 0 39 48 64 -1.34552740048526
+1 0 2 0 0 40 48 64 -1.40349668144036
+1 0 2 0 0 41 48 64 -1.44608895905303
+1 0 2 0 0 42 48 64 -1.47283758341675
+1 0 2 0 0 43 48 64 -1.48223777279887
+1 0 2 0 0 44 48 64 -1.477751323511
+1 0 2 0 0 45 48 64 -1.45591883851124
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0.0578405052478347
+2 0 2 0 0 28 48 64 -0.0973977482549096
+2 0 2 0 0 29 48 64 -0.251591955870133
+2 0 2 0 0 30 48 64 -0.404002867217376
+2 0 2 0 0 31 48 64 -0.550705254393456
+2 0 2 0 0 32 48 64 -0.691649228345827
+2 0 2 0 0 33 48 64 -0.825054119329621
+2 0 2 0 0 34 48 64 -0.949419544728369
+2 0 2 0 0 35 48 64 -1.06338293091626
+2 0 2 0 0 36 48 64 -1.16569567118585
+2 0 2 0 0 37 48 64 -1.25523680574442
+2 0 2 0 0 38 48 64 -1.33102530318407
+2 0 2 0 0 39 48 64 -1.39223080886709
+2 0 2 0 0 40 48 64 -1.43818274246512
+2 0 2 0 0 41 48 64 -1.4683928023855
+2 0 2 0 0 42 48 64 -1.48244807534532
+2 0 2 0 0 43 48 64 -1.47673449810672
+2 0 2 0 0 44 48 64 -1.46176077488367
+2 0 2 0 0 45 48 64 -1.42739257625243
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 1.23399339880012
+2 0 1 0 0 20 48 64 1.03738278264386
+2 0 1 0 0 22 48 64 0.787410311611829
+2 0 1 0 0 24 48 64 0.513013085656585
+2 0 1 0 0 26 48 64 0.21245021563713
+2 0 1 0 0 28 48 64 -0.0973977482549096
+2 0 1 0 0 30 48 64 -0.404002867217376
+2 0 1 0 0 32 48 64 -0.691649228345827
+2 0 1 0 0 34 48 64 -0.949419544728369
+2 0 1 0 0 36 48 64 -1.16569567118585
+2 0 1 0 0 38 48 64 -1.33102530318407
+2 0 1 0 0 40 48 64 -1.43818274246512
+2 0 1 0 0 42 48 64 -1.48244807534532
+2 0 1 0 0 44 48 64 -1.46176077488367
+2 0 1 0 0 46 48 64 -1.3775131408132
+2 0 1 0 0 48 48 64 -1.23306157244778
+2 0 1 0 0 50 48 64 -1.03199797397437
+2 0 1 0 0 52 48 64 -0.794555476619004
+2 0 1 0 0 54 48 64 -0.516634656957241
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 -0.0634006831079289
+3 0 2 0 0 28 48 64 -0.218119976179247
+3 0 2 0 0 29 48 64 -0.36887129179902
+3 0 2 0 0 30 48 64 -0.519916068594373
+3 0 2 0 0 31 48 64 -0.662047447892636
+3 0 2 0 0 32 48 64 -0.796992633934767
+3 0 2 0 0 33 48 64 -0.923418354923877
+3 0 2 0 0 34 48 64 -1.03973019453316
+3 0 2 0 0 35 48 64 -1.1446507762996
+3 0 2 0 0 36 48 64 -1.23703032462732
+3 0 2 0 0 37 48 64 -1.31585670985318
+3 0 2 0 0 38 48 64 -1.38026629360518
+3 0 2 0 0 39 48 64 -1.42955320389124
+3 0 2 0 0 40 48 64 -1.46317806643095
+3 0 2 0 0 41 48 64 -1.48079640587427
+3 0 2 0 0 42 48 64 -1.48151758391231
+3 0 2 0 0 43 48 64 -1.46099916406641
+3 0 2 0 0 44 48 64 -1.4365912763273
+3 0 2 0 0 45 48 64 -1.38982855161513
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 -0.185231687308882
+4 0 2 0 0 28 48 64 -0.338390512523172
+4 0 2 0 0 29 48 64 -0.483601658238406
+4 0 2 0 0 30 48 64 -0.631683822885752
+4 0 2 0 0 31 48 64 -0.769064114280805
+4 0 2 0 0 32 48 64 -0.896999169049285
+4 0 2 0 0 33 48 64 -1.01556674532816
+4 0 2 0 0 34 48 64 -1.1230364047795
+4 0 2 0 0 35 48 64 -1.21820710436198
+4 0 2 0 0 36 48 64 -1.30003066340649
+4 0 2 0 0 37 48 64 -1.36761081622356
+4 0 2 0 0 38 48 64 -1.4202069645743
+4 0 2 0 0 39 48 64 -1.45724293073577
+4 0 2 0 0 40 48 64 -1.47831018928145
+4 0 2 0 0 41 48 64 -1.48305261709804
+4 0 2 0 0 42 48 64 -1.46972874082158
+4 0 2 0 0 43 48 64 -1.43666259787377
+4 0 2 0 0 44 48 64 -1.40194285212303
+4 0 2 0 0 45 48 64 -1.34294879912117
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 1.08161237285783
+4 0 1 0 0 20 48 64 0.848764189368141
+4 0 1 0 0 22 48 64 0.567542713325785
+4 0 1 0 0 24 48 64 0.277996859587937
+4 0 1 0 0 26 48 64 -0.0301086986987153
+4 0 1 0 0 28 48 64 -0.338390512523172
+4 0 1 0 0 30 48 64 -0.631683822885752
+4 0 1 0 0 32 48 64 -0.896999169049285
+4 0 1 0 0 34 48 64 -1.1230364047795
+4 0 1 0 0 36 48 64 -1.30003066340649
+4 0 1 0 0 38 48 64 -1.4202069645743
+4 0 1 0 0 40 48 64 -1.47831018928145
+4 0 1 0 0 42 48 64 -1.46972874082158
+4 0 1 0 0 44 48 64 -1.40194285212303
+4 0 1 0 0 46 48 64 -1.2690136616938
+4 0 1 0 0 48 48 64 -1.08088303053869
+4 0 1 0 0 50 48 64 -0.842911882562314
+4 0 1 0 0 52 48 64 -0.57805128483607
+4 0 1 0 0 54 48 64 -0.281874189476265
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 0.625975468283116
+4 0 0 0 0 4 48 64 1.11748431638202
+4 0 0 0 0 8 48 64 1.41576997415218
+4 0 0 0 0 12 48 64 1.46925614152498
+4 0 0 0 0 16 48 64 1.2686945742551
+4 0 0 0 0 20 48 64 0.848764189368141
+4 0 0 0 0 24 48 64 0.277996859587937
+4 0 0 0 0 28 48 64 -0.338390512523172
+4 0 0 0 0 32 48 64 -0.896999169049285
+4 0 0 0 0 36 48 64 -1.30003066340649
+4 0 0 0 0 40 48 64 -1.47831018928145
+4 0 0 0 0 44 48 64 -1.40194285212303
+4 0 0 0 0 48 48 64 -1.08088303053869
+4 0 0 0 0 52 48 64 -0.57805128483607
+4 0 0 0 0 56 48 64 0.026229774909458
+4 0 0 0 0 60 48 64 0.625975468283116
+4 0 0 0 0 64 48 64 1.11748431638202
+4 0 0 0 0 68 48 64 1.41576997415218
+4 0 0 0 0 72 48 64 1.46925614152498
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 -0.305141506889904
+5 0 2 0 0 28 48 64 -0.455749131187236
+5 0 2 0 0 29 48 64 -0.595794139793092
+5 0 2 0 0 30 48 64 -0.73833206878797
+5 0 2 0 0 31 48 64 -0.870832030814745
+5 0 2 0 0 32 48 64 -0.991016224667018
+5 0 2 0 0 33 48 64 -1.10089455636821
+5 0 2 0 0 34 48 64 -1.1987765036027
+5 0 2 0 0 35 48 64 -1.28355611511935
+5 0 2 0 0 36 48 64 -1.3542718901311
+5 0 2 0 0 37 48 64 -1.41015004669027
+5 0 2 0 0 38 48 64 -1.45057747665273
+5 0 2 0 0 39 48 64 -1.47511266043501
+5 0 2 0 0 40 48 64 -1.48342815252264
+5 0 2 0 0 41 48 64 -1.47488100534945
+5 0 2 0 0 42 48 64 -1.4475842388841
+5 0 2 0 0 43 48 64 -1.40415801701124
+5 0 2 0 0 44 48 64 -1.35809269286951
+5 0 2 0 0 45 48 64 -1.28741991582851
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 -0.424058651410665
+6 0 2 0 0 28 48 64 -0.571015907537923
+6 0 2 0 0 29 48 64 -0.704881494097896
+6 0 2 0 0 30 48 64 -0.839552526324601
+6 0 2 0 0 31 48 64 -0.966361152263651
+6 0 2 0 0 32 48 64 -1.07836129697141
+6 0 2 0 0 33 48 64 -1.17885514504532
+6 0 2 0 0 34 48 64 -1.26644228430172
+6 0 2 0 0 35 48 64 -1.34025777333769
+6 0 2 0 0 36 48 64 -1.399388041422
+6 0 2 0 0 37 48 64 -1.44318724548742
+6 0 2 0 0 38 48 64 -1.4711719238104
+6 0 2 0 0 39 48 64 -1.48302787676652
+6 0 2 0 0 40 48 64 -1.47836498802322
+6 0 2 0 0 41 48 64 -1.45618716615436
+6 0 2 0 0 42 48 64 -1.41593523337749
+6 0 2 0 0 43 48 64 -1.36369318339856
+6 0 2 0 0 44 48 64 -1.30494840170052
+6 0 2 0 0 45 48 64 -1.22291091044959
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0.905174459277223
+6 0 1 0 0 20 48 64 0.642480851385978
+6 0 1 0 0 22 48 64 0.333150384651278
+6 0 1 0 0 24 48 64 0.0344314606001779
+6 0 1 0 0 26 48 64 -0.272452022709022
+6 0 1 0 0 28 48 64 -0.571015907537923
+6 0 1 0 0 30 48 64 -0.839552526324601
+6 0 1 0 0 32 48 64 -1.07836129697141
+6 0 1 0 0 34 48 64 -1.26644228430172
+6 0 1 0 0 36 48 64 -1.399388041422
+6 0 1 0 0 38 48 64 -1.4711719238104
+6 0 1 0 0 40 48 64 -1.47836498802322
+6 0 1 0 0 42 48 64 -1.41593523337749
+6 0 1 0 0 44 48 64 -1.30494840170052
+6 0 1 0 0 46 48 64 -1.12662568631352
+6 0 1 0 0 48 48 64 -0.899124134232632
+6 0 1 0 0 50 48 64 -0.633466959132688
+6 0 1 0 0 52 48 64 -0.352839205967949
+6 0 1 0 0 54 48 64 -0.0460563347372142
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 -0.539496710715153
+7 0 2 0 0 28 48 64 -0.68150479941542
+7 0 2 0 0 29 48 64 -0.809901625990103
+7 0 2 0 0 30 48 64 -0.935268794554797
+7 0 2 0 0 31 48 64 -1.05483744411175
+7 0 2 0 0 32 48 64 -1.15828731304289
+7 0 2 0 0 33 48 64 -1.24893999255251
+7 0 2 0 0 34 48 64 -1.32558495509048
+7 0 2 0 0 35 48 64 -1.38793216963004
+7 0 2 0 0 36 48 64 -1.4350742889929
+7 0 2 0 0 37 48 64 -1.46649903979094
+7 0 2 0 0 38 48 64 -1.48184582146447
+7 0 2 0 0 39 48 64 -1.48088168832358
+7 0 2 0 0 40 48 64 -1.46297732769968
+7 0 2 0 0 41 48 64 -1.42727626735642
+7 0 2 0 0 42 48 64 -1.37584518092759
+7 0 2 0 0 43 48 64 -1.3145099539569
+7 0 2 0 0 44 48 64 -1.24295826380646
+7 0 2 0 0 45 48 64 -1.15045964347995
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 -0.652121730630214
+8 0 2 0 0 28 48 64 -0.788111154206332
+8 0 2 0 0 29 48 64 -0.909648084751205
+8 0 2 0 0 30 48 64 -1.02540778784351
+8 0 2 0 0 31 48 64 -1.13579904785483
+8 0 2 0 0 32 48 64 -1.2300441562706
+8 0 2 0 0 33 48 64 -1.31064188611214
+8 0 2 0 0 34 48 64 -1.37581392769822
+8 0 2 0 0 35 48 64 -1.42626466259357
+8 0 2 0 0 36 48 64 -1.46108932970593
+8 0 2 0 0 37 48 64 -1.47992647060941
+8 0 2 0 0 38 48 64 -1.48250550088031
+8 0 2 0 0 39 48 64 -1.46858133533951
+8 0 2 0 0 40 48 64 -1.43727257072477
+8 0 2 0 0 41 48 64 -1.38886579172482
+8 0 2 0 0 42 48 64 -1.32774959354925
+8 0 2 0 0 43 48 64 -1.25640304368382
+8 0 2 0 0 44 48 64 -1.17197285079052
+8 0 2 0 0 45 48 64 -1.06942055565267
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0.700221541536792
+8 0 1 0 0 20 48 64 0.413949080145977
+8 0 1 0 0 22 48 64 0.0935129817034399
+8 0 1 0 0 24 48 64 -0.211015388670535
+8 0 1 0 0 26 48 64 -0.5087282950145
+8 0 1 0 0 28 48 64 -0.788111154206332
+8 0 1 0 0 30 48 64 -1.02540778784351
+8 0 1 0 0 32 48 64 -1.2300441562706
+8 0 1 0 0 34 48 64 -1.37581392769822
+8 0 1 0 0 36 48 64 -1.46108932970593
+8 0 1 0 0 38 48 64 -1.48250550088031
+8 0 1 0 0 40 48 64 -1.43727257072477
+8 0 1 0 0 42 48 64 -1.32774959354925
+8 0 1 0 0 44 48 64 -1.17197285079052
+8 0 1 0 0 46 48 64 -0.953899294877485
+8 0 1 0 0 48 48 64 -0.693391458679546
+8 0 1 0 0 50 48 64 -0.411084012013287
+8 0 1 0 0 52 48 64 -0.113311525916941
+8 0 1 0 0 54 48 64 0.196826233743728
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 1.02259196267718
+8 0 0 0 0 4 48 64 1.36898654314386
+8 0 0 0 0 8 48 64 1.47867091344865
+8 0 0 0 0 12 48 64 1.33267964951465
+8 0 0 0 0 16 48 64 0.956237946787966
+8 0 0 0 0 20 48 64 0.413949080145977
+8 0 0 0 0 24 48 64 -0.211015388670535
+8 0 0 0 0 28 48 64 -0.788111154206332
+8 0 0 0 0 32 48 64 -1.2300441562706
+8 0 0 0 0 36 48 64 -1.46108932970593
+8 0 0 0 0 40 48 64 -1.43727257072477
+8 0 0 0 0 44 48 64 -1.17197285079052
+8 0 0 0 0 48 48 64 -0.693391458679546
+8 0 0 0 0 52 48 64 -0.113311525916941
+8 0 0 0 0 56 48 64 0.499250974396097
+8 0 0 0 0 60 48 64 1.02259196267718
+8 0 0 0 0 64 48 64 1.36898654314386
+8 0 0 0 0 68 48 64 1.47867091344865
+8 0 0 0 0 72 48 64 1.33267964951465
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 -0.759810602586425
+9 0 2 0 0 28 48 64 -0.888520681370685
+9 0 2 0 0 29 48 64 -1.00301206588572
+9 0 2 0 0 30 48 64 -1.10945534963881
+9 0 2 0 0 31 48 64 -1.20910448634699
+9 0 2 0 0 32 48 64 -1.29302110059271
+9 0 2 0 0 33 48 64 -1.36343697465518
+9 0 2 0 0 34 48 64 -1.41678295628786
+9 0 2 0 0 35 48 64 -1.45500950893972
+9 0 2 0 0 36 48 64 -1.47725802596441
+9 0 2 0 0 37 48 64 -1.48337221071134
+9 0 2 0 0 38 48 64 -1.47309327066473
+9 0 2 0 0 39 48 64 -1.44608096627255
+9 0 2 0 0 40 48 64 -1.40155237076672
+9 0 2 0 0 41 48 64 -1.34182926785633
+9 0 2 0 0 42 48 64 -1.27171419247344
+9 0 2 0 0 43 48 64 -1.1890615358388
+9 0 2 0 0 44 48 64 -1.09329210536154
+9 0 2 0 0 45 48 64 -0.981491752778978
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 -0.86314700497333
+10 0 2 0 0 28 48 64 -0.983504811088469
+10 0 2 0 0 29 48 64 -1.08924775650758
+10 0 2 0 0 30 48 64 -1.18656715736769
+10 0 2 0 0 31 48 64 -1.27470256234598
+10 0 2 0 0 32 48 64 -1.34687701404116
+10 0 2 0 0 33 48 64 -1.40682111453119
+10 0 2 0 0 34 48 64 -1.44816966102308
+10 0 2 0 0 35 48 64 -1.47398671564601
+10 0 2 0 0 36 48 64 -1.48347207931877
+10 0 2 0 0 37 48 64 -1.47679245210989
+10 0 2 0 0 38 48 64 -1.45358370597017
+10 0 2 0 0 39 48 64 -1.41346806567359
+10 0 2 0 0 40 48 64 -1.35643890340736
+10 0 2 0 0 41 48 64 -1.28684064244851
+10 0 2 0 0 42 48 64 -1.20729484290771
+10 0 2 0 0 43 48 64 -1.11315317491297
+10 0 2 0 0 44 48 64 -1.00648271328324
+10 0 2 0 0 45 48 64 -0.886037546406784
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0.481689031172525
+10 0 1 0 0 20 48 64 0.179118287196152
+10 0 1 0 0 22 48 64 -0.145901585436775
+10 0 1 0 0 24 48 64 -0.450076667668099
+10 0 1 0 0 26 48 64 -0.732809014316042
+10 0 1 0 0 28 48 64 -0.983504811088469
+10 0 1 0 0 30 48 64 -1.18656715736769
+10 0 1 0 0 32 48 64 -1.34687701404116
+10 0 1 0 0 34 48 64 -1.44816966102308
+10 0 1 0 0 36 48 64 -1.48347207931877
+10 0 1 0 0 38 48 64 -1.45358370597017
+10 0 1 0 0 40 48 64 -1.35643890340736
+10 0 1 0 0 42 48 64 -1.20729484290771
+10 0 1 0 0 44 48 64 -1.00648271328324
+10 0 1 0 0 46 48 64 -0.755108505843476
+10 0 1 0 0 48 48 64 -0.471052128901074
+10 0 1 0 0 50 48 64 -0.180596797445022
+10 0 1 0 0 52 48 64 0.123833755798049
+10 0 1 0 0 54 48 64 0.428473468094301
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 -0.960181223261837
+11 0 2 0 0 28 48 64 -1.07140961755127
+11 0 2 0 0 29 48 64 -1.16786343526082
+11 0 2 0 0 30 48 64 -1.25574387354311
+11 0 2 0 0 31 48 64 -1.33237666762481
+11 0 2 0 0 32 48 64 -1.39155343038037
+11 0 2 0 0 33 48 64 -1.44039749238485
+11 0 2 0 0 34 48 64 -1.46966667373871
+11 0 2 0 0 35 48 64 -1.48306719057633
+11 0 2 0 0 36 48 64 -1.47968320543293
+11 0 2 0 0 37 48 64 -1.46018541563708
+11 0 2 0 0 38 48 64 -1.42400859590337
+11 0 2 0 0 39 48 64 -1.37105544706376
+11 0 2 0 0 40 48 64 -1.30272977717663
+11 0 2 0 0 41 48 64 -1.2241531314515
+11 0 2 0 0 42 48 64 -1.13435980038103
+11 0 2 0 0 43 48 64 -1.02923180312755
+11 0 2 0 0 44 48 64 -0.913551728358094
+11 0 2 0 0 45 48 64 -0.785202167308049
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 -1.05160926713249
+12 0 2 0 0 28 48 64 -1.1527864093619
+12 0 2 0 0 29 48 64 -1.23863764730976
+12 0 2 0 0 30 48 64 -1.3161714689979
+12 0 2 0 0 31 48 64 -1.38163084090498
+12 0 2 0 0 32 48 64 -1.42714368444391
+12 0 2 0 0 33 48 64 -1.46396543764723
+12 0 2 0 0 34 48 64 -1.4810024831557
+12 0 2 0 0 35 48 64 -1.48214767033732
+12 0 2 0 0 36 48 64 -1.46588365877104
+12 0 2 0 0 37 48 64 -1.43358449894107
+12 0 2 0 0 38 48 64 -1.38451098062704
+12 0 2 0 0 39 48 64 -1.31940298459796
+12 0 2 0 0 40 48 64 -1.24113588684379
+12 0 2 0 0 41 48 64 -1.15365509813204
+12 0 2 0 0 42 48 64 -1.05299734282807
+12 0 2 0 0 43 48 64 -0.938368072998234
+12 0 2 0 0 44 48 64 -0.813830132651939
+12 0 2 0 0 45 48 64 -0.67836961817132
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0.243874124421067
+12 0 1 0 0 20 48 64 -0.0673279979795025
+12 0 1 0 0 22 48 64 -0.37955381187076
+12 0 1 0 0 24 48 64 -0.675229546418966
+12 0 1 0 0 26 48 64 -0.938017023528217
+12 0 1 0 0 28 48 64 -1.1527864093619
+12 0 1 0 0 30 48 64 -1.3161714689979
+12 0 1 0 0 32 48 64 -1.42714368444391
+12 0 1 0 0 34 48 64 -1.4810024831557
+12 0 1 0 0 36 48 64 -1.46588365877104
+12 0 1 0 0 38 48 64 -1.38451098062704
+12 0 1 0 0 40 48 64 -1.24113588684379
+12 0 1 0 0 42 48 64 -1.05299734282807
+12 0 1 0 0 44 48 64 -0.813830132651939
+12 0 1 0 0 46 48 64 -0.53574954762434
+12 0 1 0 0 48 48 64 -0.239078935004428
+12 0 1 0 0 50 48 64 0.0530627450490333
+12 0 1 0 0 52 48 64 0.364162639016657
+12 0 1 0 0 54 48 64 0.655574806147875
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 1.31329293838911
+12 0 0 0 0 4 48 64 1.47854272274267
+12 0 0 0 0 8 48 64 1.38806030271831
+12 0 0 0 0 12 48 64 1.05755523251454
+12 0 0 0 0 16 48 64 0.543969041082109
+12 0 0 0 0 20 48 64 -0.0673279979795025
+12 0 0 0 0 24 48 64 -0.675229546418966
+12 0 0 0 0 28 48 64 -1.1527864093619
+12 0 0 0 0 32 48 64 -1.42714368444391
+12 0 0 0 0 36 48 64 -1.46588365877104
+12 0 0 0 0 40 48 64 -1.24113588684379
+12 0 0 0 0 44 48 64 -0.813830132651939
+12 0 0 0 0 48 48 64 -0.239078935004428
+12 0 0 0 0 52 48 64 0.364162639016657
+12 0 0 0 0 56 48 64 0.920277673721617
+12 0 0 0 0 60 48 64 1.31329293838911
+12 0 0 0 0 64 48 64 1.47854272274267
+12 0 0 0 0 68 48 64 1.38806030271831
+12 0 0 0 0 72 48 64 1.05755523251454
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 -1.1354396715469
+13 0 2 0 0 28 48 64 -1.22615970128303
+13 0 2 0 0 29 48 64 -1.30124538386813
+13 0 2 0 0 30 48 64 -1.36736025628728
+13 0 2 0 0 31 48 64 -1.42177341826558
+13 0 2 0 0 32 48 64 -1.45368574061677
+13 0 2 0 0 33 48 64 -1.47754347785284
+13 0 2 0 0 34 48 64 -1.48199293969935
+13 0 2 0 0 35 48 64 -1.47112769704297
+13 0 2 0 0 36 48 64 -1.44207745709672
+13 0 2 0 0 37 48 64 -1.39706732689668
+13 0 2 0 0 38 48 64 -1.33540217489745
+13 0 2 0 0 39 48 64 -1.2592204627879
+13 0 2 0 0 40 48 64 -1.17206139449697
+13 0 2 0 0 41 48 64 -1.07514519408444
+13 0 2 0 0 42 48 64 -0.963931075218306
+13 0 2 0 0 43 48 64 -0.841128427379833
+13 0 2 0 0 44 48 64 -0.709375257073802
+13 0 2 0 0 45 48 64 -0.567899646856195
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 -1.21232248495922
+14 0 2 0 0 28 48 64 -1.29202132172709
+14 0 2 0 0 29 48 64 -1.355463593194
+14 0 2 0 0 30 48 64 -1.4090984465629
+14 0 2 0 0 31 48 64 -1.45213128088637
+14 0 2 0 0 32 48 64 -1.47100096069623
+14 0 2 0 0 33 48 64 -1.48129163200519
+14 0 2 0 0 34 48 64 -1.472599847645
+14 0 2 0 0 35 48 64 -1.44990933948067
+14 0 2 0 0 36 48 64 -1.40826066756361
+14 0 2 0 0 37 48 64 -1.35078753393361
+14 0 2 0 0 38 48 64 -1.27717996181463
+14 0 2 0 0 39 48 64 -1.19118142242436
+14 0 2 0 0 40 48 64 -1.09555948655356
+14 0 2 0 0 41 48 64 -0.988650617262537
+14 0 2 0 0 42 48 64 -0.867957318713819
+14 0 2 0 0 43 48 64 -0.738364909409772
+14 0 2 0 0 44 48 64 -0.599501324654009
+14 0 2 0 0 45 48 64 -0.452964244375012
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0.00510604697498961
+14 0 1 0 0 20 48 64 -0.306859390098093
+14 0 1 0 0 22 48 64 -0.603550045317166
+14 0 1 0 0 24 48 64 -0.879517760651005
+14 0 1 0 0 26 48 64 -1.11762884197066
+14 0 1 0 0 28 48 64 -1.29202132172709
+14 0 1 0 0 30 48 64 -1.4090984465629
+14 0 1 0 0 32 48 64 -1.47100096069623
+14 0 1 0 0 34 48 64 -1.472599847645
+14 0 1 0 0 36 48 64 -1.40826066756361
+14 0 1 0 0 38 48 64 -1.27717996181463
+14 0 1 0 0 40 48 64 -1.09555948655356
+14 0 1 0 0 42 48 64 -0.867957318713819
+14 0 1 0 0 44 48 64 -0.599501324654009
+14 0 1 0 0 46 48 64 -0.302741229763654
+14 0 1 0 0 48 48 64 -0.00378453807096049
+14 0 1 0 0 50 48 64 0.285558352432403
+14 0 1 0 0 52 48 64 0.589960299201214
+14 0 1 0 0 54 48 64 0.860130504329144
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 -1.28031983161333
+15 0 2 0 0 28 48 64 -1.34876931598979
+15 0 2 0 0 29 48 64 -1.40076946704694
+15 0 2 0 0 30 48 64 -1.44134058115267
+15 0 2 0 0 31 48 64 -1.47225249519746
+15 0 2 0 0 32 48 64 -1.47868118057695
+15 0 2 0 0 33 48 64 -1.4753643920743
+15 0 2 0 0 34 48 64 -1.45295922382274
+15 0 2 0 0 35 48 64 -1.41843743080741
+15 0 2 0 0 36 48 64 -1.36444019166037
+15 0 2 0 0 37 48 64 -1.29502335740011
+15 0 2 0 0 38 48 64 -1.21047993792809
+15 0 2 0 0 39 48 64 -1.11575115074703
+15 0 2 0 0 40 48 64 -1.01151378444154
+15 0 2 0 0 41 48 64 -0.89461415064888
+15 0 2 0 0 42 48 64 -0.766081211687536
+15 0 2 0 0 43 48 64 -0.630483867156775
+15 0 2 0 0 44 48 64 -0.486304832454346
+15 0 2 0 0 45 48 64 -0.336167643161572
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 -1.33994493188971
+16 0 2 0 0 28 48 64 -1.39693766897258
+16 0 2 0 0 29 48 64 -1.4369058272441
+16 0 2 0 0 30 48 64 -1.46397743248669
+16 0 2 0 0 31 48 64 -1.4820015673046
+16 0 2 0 0 32 48 64 -1.47624045999339
+16 0 2 0 0 33 48 64 -1.45978453467933
+16 0 2 0 0 34 48 64 -1.42335405185967
+16 0 2 0 0 35 48 64 -1.3767795327517
+16 0 2 0 0 36 48 64 -1.31071263594263
+16 0 2 0 0 37 48 64 -1.2302221967033
+16 0 2 0 0 38 48 64 -1.13597251220315
+16 0 2 0 0 39 48 64 -1.03314932009164
+16 0 2 0 0 40 48 64 -0.919949633907641
+16 0 2 0 0 41 48 64 -0.793879430182903
+16 0 2 0 0 42 48 64 -0.65902941405322
+16 0 2 0 0 43 48 64 -0.51832866200988
+16 0 2 0 0 44 48 64 -0.369086948120885
+16 0 2 0 0 45 48 64 -0.21651984107271
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 -0.241272275345984
+16 0 1 0 0 20 48 64 -0.545652684253916
+16 0 1 0 0 22 48 64 -0.812913986648949
+16 0 1 0 0 24 48 64 -1.0582969553619
+16 0 1 0 0 26 48 64 -1.26558639376208
+16 0 1 0 0 28 48 64 -1.39693766897258
+16 0 1 0 0 30 48 64 -1.46397743248669
+16 0 1 0 0 32 48 64 -1.47624045999339
+16 0 1 0 0 34 48 64 -1.42335405185967
+16 0 1 0 0 36 48 64 -1.31071263594263
+16 0 1 0 0 38 48 64 -1.13597251220315
+16 0 1 0 0 40 48 64 -0.919949633907641
+16 0 1 0 0 42 48 64 -0.65902941405322
+16 0 1 0 0 44 48 64 -0.369086948120885
+16 0 1 0 0 46 48 64 -0.0635801983036387
+16 0 1 0 0 48 48 64 0.230027269137171
+16 0 1 0 0 50 48 64 0.511793068460403
+16 0 1 0 0 52 48 64 0.807131677864277
+16 0 1 0 0 54 48 64 1.0484680462268
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 1.46755343146574
+16 0 0 0 0 4 48 64 1.43463212147469
+16 0 0 0 0 8 48 64 1.15319400837952
+16 0 0 0 0 12 48 64 0.672268984485357
+16 0 0 0 0 16 48 64 0.073826568644053
+16 0 0 0 0 20 48 64 -0.545652684253916
+16 0 0 0 0 24 48 64 -1.0582969553619
+16 0 0 0 0 28 48 64 -1.39693766897258
+16 0 0 0 0 32 48 64 -1.47624045999339
+16 0 0 0 0 36 48 64 -1.31071263594263
+16 0 0 0 0 40 48 64 -0.919949633907641
+16 0 0 0 0 44 48 64 -0.369086948120885
+16 0 0 0 0 48 48 64 0.230027269137171
+16 0 0 0 0 52 48 64 0.807131677864277
+16 0 0 0 0 56 48 64 1.24564232390255
+16 0 0 0 0 60 48 64 1.46755343146574
+16 0 0 0 0 64 48 64 1.43463212147469
+16 0 0 0 0 68 48 64 1.15319400837952
+16 0 0 0 0 72 48 64 0.672268984485357
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 -1.38965453771658
+17 0 2 0 0 28 48 64 -1.43501892061653
+17 0 2 0 0 29 48 64 -1.46331836934851
+17 0 2 0 0 30 48 64 -1.47690468447681
+17 0 2 0 0 31 48 64 -1.48150771467945
+17 0 2 0 0 32 48 64 -1.46335116323339
+17 0 2 0 0 33 48 64 -1.4344307742131
+17 0 2 0 0 34 48 64 -1.38414238398157
+17 0 2 0 0 35 48 64 -1.32521785163804
+17 0 2 0 0 36 48 64 -1.24739103373454
+17 0 2 0 0 37 48 64 -1.15701406196611
+17 0 2 0 0 38 48 64 -1.05426060526164
+17 0 2 0 0 39 48 64 -0.943495149799142
+17 0 2 0 0 40 48 64 -0.821309688396739
+17 0 2 0 0 41 48 64 -0.687526942495018
+17 0 2 0 0 42 48 64 -0.54762422414397
+17 0 2 0 0 43 48 64 -0.402522043349832
+17 0 2 0 0 44 48 64 -0.250329315192342
+17 0 2 0 0 45 48 64 -0.0967666958398461
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 -1.42982006319183
+18 0 2 0 0 28 48 64 -1.46351555760796
+18 0 2 0 0 29 48 64 -1.47992603175979
+18 0 2 0 0 30 48 64 -1.4799086680017
+18 0 2 0 0 31 48 64 -1.47104919330855
+18 0 2 0 0 32 48 64 -1.44002817160615
+18 0 2 0 0 33 48 64 -1.39916537176845
+18 0 2 0 0 34 48 64 -1.33568688201514
+18 0 2 0 0 35 48 64 -1.2643071258119
+18 0 2 0 0 36 48 64 -1.17512168083832
+18 0 2 0 0 37 48 64 -1.07617694661597
+18 0 2 0 0 38 48 64 -0.965841080612323
+18 0 2 0 0 39 48 64 -0.847061415776427
+18 0 2 0 0 40 48 64 -0.716529930716204
+18 0 2 0 0 41 48 64 -0.576675838265633
+18 0 2 0 0 42 48 64 -0.432554349021542
+18 0 2 0 0 43 48 64 -0.284119010516547
+18 0 2 0 0 44 48 64 -0.129204719155812
+18 0 2 0 0 45 48 64 0.0240715591031977
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 -0.475308608731309
+18 0 1 0 0 20 48 64 -0.763804964325566
+18 0 1 0 0 22 48 64 -1.00222059274703
+18 0 1 0 0 24 48 64 -1.20802011422537
+18 0 1 0 0 26 48 64 -1.37722404220969
+18 0 1 0 0 28 48 64 -1.46351555760796
+18 0 1 0 0 30 48 64 -1.4799086680017
+18 0 1 0 0 32 48 64 -1.44002817160615
+18 0 1 0 0 34 48 64 -1.33568688201514
+18 0 1 0 0 36 48 64 -1.17512168083832
+18 0 1 0 0 38 48 64 -0.965841080612323
+18 0 1 0 0 40 48 64 -0.716529930716204
+18 0 1 0 0 42 48 64 -0.432554349021542
+18 0 1 0 0 44 48 64 -0.129204719155812
+18 0 1 0 0 46 48 64 0.174744373319802
+18 0 1 0 0 48 48 64 0.457889072330636
+18 0 1 0 0 50 48 64 0.725977631022504
+18 0 1 0 0 52 48 64 0.997963883512736
+18 0 1 0 0 54 48 64 1.2048715916562
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 -1.45952077792913
+19 0 2 0 0 28 48 64 -1.48133690893089
+19 0 2 0 0 29 48 64 -1.48631324048507
+19 0 2 0 0 30 48 64 -1.4729613998761
+19 0 2 0 0 31 48 64 -1.45092998013874
+19 0 2 0 0 32 48 64 -1.40666249699315
+19 0 2 0 0 33 48 64 -1.35403128228519
+19 0 2 0 0 34 48 64 -1.27833619096778
+19 0 2 0 0 35 48 64 -1.19485830652754
+19 0 2 0 0 36 48 64 -1.09490963378038
+19 0 2 0 0 37 48 64 -0.988559269200841
+19 0 2 0 0 38 48 64 -0.871152562258357
+19 0 2 0 0 39 48 64 -0.744472615208746
+19 0 2 0 0 40 48 64 -0.606878604669054
+19 0 2 0 0 41 48 64 -0.462351541517961
+19 0 2 0 0 42 48 64 -0.314764885363928
+19 0 2 0 0 43 48 64 -0.163992802167723
+19 0 2 0 0 44 48 64 -0.00852648306103718
+19 0 2 0 0 45 48 64 0.143332655544577
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 -1.47889033447712
+20 0 2 0 0 28 48 64 -1.48884653159066
+20 0 2 0 0 29 48 64 -1.48262461520729
+20 0 2 0 0 30 48 64 -1.45602425982299
+20 0 2 0 0 31 48 64 -1.42143089127425
+20 0 2 0 0 32 48 64 -1.36388884337669
+20 0 2 0 0 33 48 64 -1.29939369733086
+20 0 2 0 0 34 48 64 -1.21247286497523
+20 0 2 0 0 35 48 64 -1.11783828822353
+20 0 2 0 0 36 48 64 -1.00799795919863
+20 0 2 0 0 37 48 64 -0.894984079994291
+20 0 2 0 0 38 48 64 -0.770669081105202
+20 0 2 0 0 39 48 64 -0.636705464558171
+20 0 2 0 0 40 48 64 -0.493645592254368
+20 0 2 0 0 41 48 64 -0.345440379313319
+20 0 2 0 0 42 48 64 -0.195152397344446
+20 0 2 0 0 43 48 64 -0.0432370757024735
+20 0 2 0 0 44 48 64 0.112643167441897
+20 0 2 0 0 45 48 64 0.26196759899584
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 -0.703533662460547
+20 0 1 0 0 20 48 64 -0.967950535686844
+20 0 1 0 0 22 48 64 -1.16590297925599
+20 0 1 0 0 24 48 64 -1.32629174263357
+20 0 1 0 0 26 48 64 -1.44969934666542
+20 0 1 0 0 28 48 64 -1.48884653159066
+20 0 1 0 0 30 48 64 -1.45602425982299
+20 0 1 0 0 32 48 64 -1.36388884337669
+20 0 1 0 0 34 48 64 -1.21247286497523
+20 0 1 0 0 36 48 64 -1.00799795919863
+20 0 1 0 0 38 48 64 -0.770669081105202
+20 0 1 0 0 40 48 64 -0.493645592254368
+20 0 1 0 0 42 48 64 -0.195152397344446
+20 0 1 0 0 44 48 64 0.112643167441897
+20 0 1 0 0 46 48 64 0.406348257676019
+20 0 1 0 0 48 48 64 0.675272266879847
+20 0 1 0 0 50 48 64 0.922692334461689
+20 0 1 0 0 52 48 64 1.16836121331096
+20 0 1 0 0 54 48 64 1.33427084690546
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 1.46907000459734
+20 0 0 0 0 4 48 64 1.24160330559301
+20 0 0 0 0 8 48 64 0.798303967372976
+20 0 0 0 0 12 48 64 0.216451401705563
+20 0 0 0 0 16 48 64 -0.406314539428156
+20 0 0 0 0 20 48 64 -0.967950535686844
+20 0 0 0 0 24 48 64 -1.32629174263357
+20 0 0 0 0 28 48 64 -1.48884653159066
+20 0 0 0 0 32 48 64 -1.36388884337669
+20 0 0 0 0 36 48 64 -1.00799795919863
+20 0 0 0 0 40 48 64 -0.493645592254368
+20 0 0 0 0 44 48 64 0.112643167441897
+20 0 0 0 0 48 48 64 0.675272266879847
+20 0 0 0 0 52 48 64 1.16836121331096
+20 0 0 0 0 56 48 64 1.44211396017506
+20 0 0 0 0 60 48 64 1.46907000459734
+20 0 0 0 0 64 48 64 1.24160330559301
+20 0 0 0 0 68 48 64 0.798303967372976
+20 0 0 0 0 72 48 64 0.216451401705563
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 -1.48783434881335
+21 0 2 0 0 28 48 64 -1.48560285810085
+21 0 2 0 0 29 48 64 -1.46860199686749
+21 0 2 0 0 30 48 64 -1.4293120961932
+21 0 2 0 0 31 48 64 -1.38278752242299
+21 0 2 0 0 32 48 64 -1.31237108296899
+21 0 2 0 0 33 48 64 -1.23593106765531
+21 0 2 0 0 34 48 64 -1.13859120873322
+21 0 2 0 0 35 48 64 -1.03421519404243
+21 0 2 0 0 36 48 64 -0.915618350819177
+21 0 2 0 0 37 48 64 -0.796165241553576
+21 0 2 0 0 38 48 64 -0.664966056193421
+21 0 2 0 0 39 48 64 -0.524877774591052
+21 0 2 0 0 40 48 64 -0.377857997371288
+21 0 2 0 0 41 48 64 -0.226706561741475
+21 0 2 0 0 42 48 64 -0.0747312786565671
+21 0 2 0 0 43 48 64 0.0772726195502883
+21 0 2 0 0 44 48 64 0.23152517422578
+21 0 2 0 0 45 48 64 0.377546936166757
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 -1.48612380944066
+22 0 2 0 0 28 48 64 -1.47175307762361
+22 0 2 0 0 29 48 64 -1.44456214456762
+22 0 2 0 0 30 48 64 -1.39290637323109
+22 0 2 0 0 31 48 64 -1.3352015173243
+22 0 2 0 0 32 48 64 -1.2526135929925
+22 0 2 0 0 33 48 64 -1.16447752629577
+22 0 2 0 0 34 48 64 -1.05734049408832
+22 0 2 0 0 35 48 64 -0.944805118763483
+22 0 2 0 0 36 48 64 -0.818709281410396
+22 0 2 0 0 37 48 64 -0.692659528594928
+22 0 2 0 0 38 48 64 -0.554712655512406
+22 0 2 0 0 39 48 64 -0.409960475455092
+22 0 2 0 0 40 48 64 -0.260159539697445
+22 0 2 0 0 41 48 64 -0.106821570116237
+22 0 2 0 0 42 48 64 0.0456868077729694
+22 0 2 0 0 43 48 64 0.1966158613765
+22 0 2 0 0 44 48 64 0.349045889999682
+22 0 2 0 0 45 48 64 0.49095233863243
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 -0.907137553016549
+22 0 1 0 0 20 48 64 -1.14019994370496
+22 0 1 0 0 22 48 64 -1.2981185036779
+22 0 1 0 0 24 48 64 -1.41063584171716
+22 0 1 0 0 26 48 64 -1.48205829093131
+22 0 1 0 0 28 48 64 -1.47175307762361
+22 0 1 0 0 30 48 64 -1.39290637323109
+22 0 1 0 0 32 48 64 -1.2526135929925
+22 0 1 0 0 34 48 64 -1.05734049408832
+22 0 1 0 0 36 48 64 -0.818709281410396
+22 0 1 0 0 38 48 64 -0.554712655512406
+22 0 1 0 0 40 48 64 -0.260159539697445
+22 0 1 0 0 42 48 64 0.0456868077729694
+22 0 1 0 0 44 48 64 0.349045889999682
+22 0 1 0 0 46 48 64 0.62626950469667
+22 0 1 0 0 48 48 64 0.876967951097675
+22 0 1 0 0 50 48 64 1.09594351311917
+22 0 1 0 0 52 48 64 1.30368075220436
+22 0 1 0 0 54 48 64 1.4254335280131
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 -1.47448497866135
+23 0 2 0 0 28 48 64 -1.44762502585183
+23 0 2 0 0 29 48 64 -1.41038000509541
+23 0 2 0 0 30 48 64 -1.3470337694635
+23 0 2 0 0 31 48 64 -1.27881896780892
+23 0 2 0 0 32 48 64 -1.18488977324946
+23 0 2 0 0 33 48 64 -1.08581252088655
+23 0 2 0 0 34 48 64 -0.96948772768731
+23 0 2 0 0 35 48 64 -0.850176340831308
+23 0 2 0 0 36 48 64 -0.717733467942162
+23 0 2 0 0 37 48 64 -0.584870338599861
+23 0 2 0 0 38 48 64 -0.440611399700152
+23 0 2 0 0 39 48 64 -0.292603415790932
+23 0 2 0 0 40 48 64 -0.140900538522413
+23 0 2 0 0 41 48 64 0.0135945162641238
+23 0 2 0 0 42 48 64 0.165322986232864
+23 0 2 0 0 43 48 64 0.314065452614477
+23 0 2 0 0 44 48 64 0.462829298339711
+23 0 2 0 0 45 48 64 0.600130193932874
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 -1.45237736579634
+24 0 2 0 0 28 48 64 -1.41310942422121
+24 0 2 0 0 29 48 64 -1.36648396122399
+24 0 2 0 0 30 48 64 -1.29168847341203
+24 0 2 0 0 31 48 64 -1.21374014765977
+24 0 2 0 0 32 48 64 -1.10929984873262
+24 0 2 0 0 33 48 64 -1.00052141064819
+24 0 2 0 0 34 48 64 -0.87580678272817
+24 0 2 0 0 35 48 64 -0.750643350944163
+24 0 2 0 0 36 48 64 -0.612694178706123
+24 0 2 0 0 37 48 64 -0.473111119068473
+24 0 2 0 0 38 48 64 -0.32335276043312
+24 0 2 0 0 39 48 64 -0.173192392359223
+24 0 2 0 0 40 48 64 -0.0203706303468995
+24 0 2 0 0 41 48 64 0.133922796557946
+24 0 2 0 0 42 48 64 0.28355292065805
+24 0 2 0 0 43 48 64 0.428891928166084
+24 0 2 0 0 44 48 64 0.573667404720499
+24 0 2 0 0 45 48 64 0.705757604574054
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 -1.09214045510601
+24 0 1 0 0 20 48 64 -1.28651633992419
+24 0 1 0 0 22 48 64 -1.39513186456808
+24 0 1 0 0 24 48 64 -1.45866335099262
+24 0 1 0 0 26 48 64 -1.47481002262259
+24 0 1 0 0 28 48 64 -1.41310942422121
+24 0 1 0 0 30 48 64 -1.29168847341203
+24 0 1 0 0 32 48 64 -1.10929984873262
+24 0 1 0 0 34 48 64 -0.87580678272817
+24 0 1 0 0 36 48 64 -0.612694178706123
+24 0 1 0 0 38 48 64 -0.32335276043312
+24 0 1 0 0 40 48 64 -0.0203706303468995
+24 0 1 0 0 42 48 64 0.28355292065805
+24 0 1 0 0 44 48 64 0.573667404720499
+24 0 1 0 0 46 48 64 0.830050767161835
+24 0 1 0 0 48 48 64 1.05724708294513
+24 0 1 0 0 50 48 64 1.24144086384679
+24 0 1 0 0 52 48 64 1.40880347187779
+24 0 1 0 0 54 48 64 1.48194314919986
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 1.3177689523324
+24 0 0 0 0 4 48 64 0.919233721312635
+24 0 0 0 0 8 48 64 0.360023333058717
+24 0 0 0 0 12 48 64 -0.263199016552858
+24 0 0 0 0 16 48 64 -0.846375300592087
+24 0 0 0 0 20 48 64 -1.28651633992419
+24 0 0 0 0 24 48 64 -1.45866335099262
+24 0 0 0 0 28 48 64 -1.41310942422121
+24 0 0 0 0 32 48 64 -1.10929984873262
+24 0 0 0 0 36 48 64 -0.612694178706123
+24 0 0 0 0 40 48 64 -0.0203706303468995
+24 0 0 0 0 44 48 64 0.573667404720499
+24 0 0 0 0 48 48 64 1.05724708294513
+24 0 0 0 0 52 48 64 1.40880347187779
+24 0 0 0 0 56 48 64 1.48950454796032
+24 0 0 0 0 60 48 64 1.3177689523324
+24 0 0 0 0 64 48 64 0.919233721312635
+24 0 0 0 0 68 48 64 0.360023333058717
+24 0 0 0 0 72 48 64 -0.263199016552858
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/psi.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/psi.yl
new file mode 100644
index 000000000..82ed8714d
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/psi.yl
@@ -0,0 +1,1397 @@
+# SPACETIMETOY::psi y (psi)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 -0.143696097878657
+0 0 2 0 0 36 40 64 -0.248677979089527
+0 0 2 0 0 36 41 64 -0.352392654321049
+0 0 2 0 0 36 42 64 -0.454311617361774
+0 0 2 0 0 36 43 64 -0.553915512537962
+0 0 2 0 0 36 44 64 -0.650696781231051
+0 0 2 0 0 36 45 64 -0.744162248280034
+0 0 2 0 0 36 46 64 -0.833835635089029
+0 0 2 0 0 36 47 64 -0.919259986633837
+0 0 2 0 0 36 48 64 -1
+0 0 2 0 0 36 49 64 -1.07564424258667
+0 0 2 0 0 36 50 64 -1.14580724867284
+0 0 2 0 0 36 51 64 -1.21013148366229
+0 0 2 0 0 36 52 64 -1.26828916599794
+0 0 2 0 0 36 53 64 -1.31998393746156
+0 0 2 0 0 36 54 64 -1.36495237334726
+0 0 2 0 0 36 55 64 -1.40296532481346
+0 0 2 0 0 36 56 64 -1.43382908657283
+0 0 2 0 0 36 57 64 -1.45738638397006
+0 0 2 0 0 36 58 64 -1.47351717441742
+0 0 2 0 0 36 59 64 -1.48213925910431
+0 0 2 0 0 36 60 64 -1.48320870186351
+0 0 2 0 0 36 61 64 -1.47672005305987
+0 0 2 0 0 36 62 64 -1.46270637736035
+0 0 2 0 0 36 63 64 -1.4412390852441
+0 0 2 0 0 36 64 64 -1.412427569111
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 1.09606144155093
+0 0 1 0 0 36 28 64 0.942590278192748
+0 0 1 0 0 36 30 64 0.769930694976463
+0 0 1 0 0 36 32 64 0.581597543107234
+0 0 1 0 0 36 34 64 0.381424742449158
+0 0 1 0 0 36 36 64 0.173487233972944
+0 0 1 0 0 36 38 64 -0.0379819742910904
+0 0 1 0 0 36 40 64 -0.248677979089527
+0 0 1 0 0 36 42 64 -0.454311617361774
+0 0 1 0 0 36 44 64 -0.650696781231051
+0 0 1 0 0 36 46 64 -0.833835635089029
+0 0 1 0 0 36 48 64 -1
+0 0 1 0 0 36 50 64 -1.14580724867284
+0 0 1 0 0 36 52 64 -1.26828916599794
+0 0 1 0 0 36 54 64 -1.36495237334726
+0 0 1 0 0 36 56 64 -1.43382908657283
+0 0 1 0 0 36 58 64 -1.47351717441742
+0 0 1 0 0 36 60 64 -1.48320870186351
+0 0 1 0 0 36 62 64 -1.46270637736035
+0 0 1 0 0 36 64 64 -1.412427569111
+0 0 1 0 0 36 66 64 -1.33339580865932
+0 0 1 0 0 36 68 64 -1.22721995473931
+0 0 1 0 0 36 70 64 -1.09606144155092
+0 0 1 0 0 36 72 64 -0.942590278192737
+0 0 1 0 0 36 74 64 -0.769930694976451
+0 0 1 0 0 36 76 64 -0.581597543107221
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 0.650696781231039
+0 0 0 0 0 36 4 64 0.999999999999989
+0 0 0 0 0 36 8 64 1.26828916599794
+0 0 0 0 0 36 12 64 1.43382908657283
+0 0 0 0 0 36 16 64 1.48320870186351
+0 0 0 0 0 36 20 64 1.41242756911101
+0 0 0 0 0 36 24 64 1.22721995473932
+0 0 0 0 0 36 28 64 0.942590278192748
+0 0 0 0 0 36 32 64 0.581597543107234
+0 0 0 0 0 36 36 64 0.173487233972944
+0 0 0 0 0 36 40 64 -0.248677979089527
+0 0 0 0 0 36 44 64 -0.650696781231051
+0 0 0 0 0 36 48 64 -1
+0 0 0 0 0 36 52 64 -1.26828916599794
+0 0 0 0 0 36 56 64 -1.43382908657283
+0 0 0 0 0 36 60 64 -1.48320870186351
+0 0 0 0 0 36 64 64 -1.412427569111
+0 0 0 0 0 36 68 64 -1.22721995473931
+0 0 0 0 0 36 72 64 -0.942590278192737
+0 0 0 0 0 36 76 64 -0.581597543107221
+0 0 0 0 0 36 80 64 -0.17348723397293
+0 0 0 0 0 36 84 64 0.248677979089541
+0 0 0 0 0 36 88 64 0.650696781231064
+0 0 0 0 0 36 92 64 1.00000000000001
+0 0 0 0 0 36 96 64 1.26828916599795
+0 0 0 0 0 36 100 64 1.43382908657284
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 -0.263723171311546
+1 0 2 0 0 36 40 64 -0.367201794500675
+1 0 2 0 0 36 41 64 -0.469500113123747
+1 0 2 0 0 36 42 64 -0.568631831716838
+1 0 2 0 0 36 43 64 -0.664942320627945
+1 0 2 0 0 36 44 64 -0.757864415891546
+1 0 2 0 0 36 45 64 -0.846924607809828
+1 0 2 0 0 36 46 64 -0.931669066059201
+1 0 2 0 0 36 47 64 -1.01166595230559
+1 0 2 0 0 36 48 64 -1.08650762075361
+1 0 2 0 0 36 49 64 -1.1558126954161
+1 0 2 0 0 36 50 64 -1.21922801351873
+1 0 2 0 0 36 51 64 -1.27643042513652
+1 0 2 0 0 36 52 64 -1.32712843989185
+1 0 2 0 0 36 53 64 -1.37106371232254
+1 0 2 0 0 36 54 64 -1.40801235835116
+1 0 2 0 0 36 55 64 -1.43778609614692
+1 0 2 0 0 36 56 64 -1.46023320556678
+1 0 2 0 0 36 57 64 -1.47523930128647
+1 0 2 0 0 36 58 64 -1.4827279156819
+1 0 2 0 0 36 59 64 -1.48266088849066
+1 0 2 0 0 36 60 64 -1.47503856126796
+1 0 2 0 0 36 61 64 -1.45989977564612
+1 0 2 0 0 36 62 64 -1.43620203244264
+1 0 2 0 0 36 63 64 -1.40749352654014
+1 0 2 0 0 36 64 64 -1.37047676821174
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 -0.38256081209602
+2 0 2 0 0 36 40 64 -0.483823536486707
+2 0 2 0 0 36 41 64 -0.581712504893521
+2 0 2 0 0 36 42 64 -0.679464402566227
+2 0 2 0 0 36 43 64 -0.77153360584873
+2 0 2 0 0 36 44 64 -0.859927693961178
+2 0 2 0 0 36 45 64 -0.943982333048035
+2 0 2 0 0 36 46 64 -1.02322665454579
+2 0 2 0 0 36 47 64 -1.09725684755651
+2 0 2 0 0 36 48 64 -1.16569567118585
+2 0 2 0 0 36 49 64 -1.22819437687618
+2 0 2 0 0 36 50 64 -1.28443448554929
+2 0 2 0 0 36 51 64 -1.33412941050276
+2 0 2 0 0 36 52 64 -1.37702591779013
+2 0 2 0 0 36 53 64 -1.41290541664303
+2 0 2 0 0 36 54 64 -1.4415850733596
+2 0 2 0 0 36 55 64 -1.4629187429832
+2 0 2 0 0 36 56 64 -1.47679771402353
+2 0 2 0 0 36 57 64 -1.48315126242552
+2 0 2 0 0 36 58 64 -1.48194701196287
+2 0 2 0 0 36 59 64 -1.4731910992199
+2 0 2 0 0 36 60 64 -1.45693809176585
+2 0 2 0 0 36 61 64 -1.4331378810071
+2 0 2 0 0 36 62 64 -1.39917209302287
+2 0 2 0 0 36 63 64 -1.36402122633454
+2 0 2 0 0 36 64 64 -1.3189956669235
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 0.920871899420207
+2 0 1 0 0 36 28 64 0.746336026832586
+2 0 1 0 0 36 30 64 0.549387624163334
+2 0 1 0 0 36 32 64 0.351026406503438
+2 0 1 0 0 36 34 64 0.142361376331037
+2 0 1 0 0 36 36 64 -0.0692017209271537
+2 0 1 0 0 36 38 64 -0.279356070708552
+2 0 1 0 0 36 40 64 -0.483823536486707
+2 0 1 0 0 36 42 64 -0.679464402566227
+2 0 1 0 0 36 44 64 -0.859927693961178
+2 0 1 0 0 36 46 64 -1.02322665454579
+2 0 1 0 0 36 48 64 -1.16569567118585
+2 0 1 0 0 36 50 64 -1.28443448554929
+2 0 1 0 0 36 52 64 -1.37702591779013
+2 0 1 0 0 36 54 64 -1.4415850733596
+2 0 1 0 0 36 56 64 -1.47679771402353
+2 0 1 0 0 36 58 64 -1.48194701196287
+2 0 1 0 0 36 60 64 -1.45693809176585
+2 0 1 0 0 36 62 64 -1.39917209302287
+2 0 1 0 0 36 64 64 -1.3189956669235
+2 0 1 0 0 36 66 64 -1.209017864898
+2 0 1 0 0 36 68 64 -1.0744279456628
+2 0 1 0 0 36 70 64 -0.917965771848235
+2 0 1 0 0 36 72 64 -0.7405515458277
+2 0 1 0 0 36 74 64 -0.556378077061154
+2 0 1 0 0 36 76 64 -0.355264487019512
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 -0.49832704317615
+3 0 2 0 0 36 40 64 -0.596896539164374
+3 0 2 0 0 36 41 64 -0.689090633490979
+3 0 2 0 0 36 42 64 -0.785389208480418
+3 0 2 0 0 36 43 64 -0.873066617697972
+3 0 2 0 0 36 44 64 -0.956202458195715
+3 0 2 0 0 36 45 64 -1.03468141219577
+3 0 2 0 0 36 46 64 -1.10789124446664
+3 0 2 0 0 36 47 64 -1.17545571097928
+3 0 2 0 0 36 48 64 -1.23703032462732
+3 0 2 0 0 36 49 64 -1.29230131529378
+3 0 2 0 0 36 50 64 -1.34098703467946
+3 0 2 0 0 36 51 64 -1.38283939151815
+3 0 2 0 0 36 52 64 -1.4176451157928
+3 0 2 0 0 36 53 64 -1.44522684551071
+3 0 2 0 0 36 54 64 -1.46544403049953
+3 0 2 0 0 36 55 64 -1.47819364861874
+3 0 2 0 0 36 56 64 -1.48341073073689
+3 0 2 0 0 36 57 64 -1.48106869179936
+3 0 2 0 0 36 58 64 -1.47117937370292
+3 0 2 0 0 36 59 64 -1.4537932060637
+3 0 2 0 0 36 60 64 -1.42899319637955
+3 0 2 0 0 36 61 64 -1.39624904520523
+3 0 2 0 0 36 62 64 -1.35296682416631
+3 0 2 0 0 36 63 64 -1.30997013631355
+3 0 2 0 0 36 64 64 -1.25926330633747
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 -0.611776555750005
+4 0 2 0 0 36 40 64 -0.706969691161426
+4 0 2 0 0 36 41 64 -0.792025105295275
+4 0 2 0 0 36 42 64 -0.885160308023528
+4 0 2 0 0 36 43 64 -0.968805580157037
+4 0 2 0 0 36 44 64 -1.04606628302188
+4 0 2 0 0 36 45 64 -1.1184144836952
+4 0 2 0 0 36 46 64 -1.18509187369964
+4 0 2 0 0 36 47 64 -1.24573538603759
+4 0 2 0 0 36 48 64 -1.30003066340649
+4 0 2 0 0 36 49 64 -1.3477012885731
+4 0 2 0 0 36 50 64 -1.38850433689392
+4 0 2 0 0 36 51 64 -1.4222318853876
+4 0 2 0 0 36 52 64 -1.44871206619806
+4 0 2 0 0 36 53 64 -1.46780994239369
+4 0 2 0 0 36 54 64 -1.47942819557501
+4 0 2 0 0 36 55 64 -1.48350762178697
+4 0 2 0 0 36 56 64 -1.48002743031502
+4 0 2 0 0 36 57 64 -1.46900525088081
+4 0 2 0 0 36 58 64 -1.45049730337948
+4 0 2 0 0 36 59 64 -1.42458886996694
+4 0 2 0 0 36 60 64 -1.39124611879146
+4 0 2 0 0 36 61 64 -1.3493878284942
+4 0 2 0 0 36 62 64 -1.29853952009306
+4 0 2 0 0 36 63 64 -1.24896781580695
+4 0 2 0 0 36 64 64 -1.19085333942327
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0.717226287080915
+4 0 1 0 0 36 28 64 0.525748976755298
+4 0 1 0 0 36 30 64 0.315079811017129
+4 0 1 0 0 36 32 64 0.110168092858416
+4 0 1 0 0 36 34 64 -0.100592436120425
+4 0 1 0 0 36 36 64 -0.310081002176374
+4 0 1 0 0 36 38 64 -0.513358129628933
+4 0 1 0 0 36 40 64 -0.706969691161426
+4 0 1 0 0 36 42 64 -0.885160308023528
+4 0 1 0 0 36 44 64 -1.04606628302188
+4 0 1 0 0 36 46 64 -1.18509187369964
+4 0 1 0 0 36 48 64 -1.30003066340649
+4 0 1 0 0 36 50 64 -1.38850433689392
+4 0 1 0 0 36 52 64 -1.44871206619806
+4 0 1 0 0 36 54 64 -1.47942819557501
+4 0 1 0 0 36 56 64 -1.48002743031502
+4 0 1 0 0 36 58 64 -1.45049730337948
+4 0 1 0 0 36 60 64 -1.39124611879146
+4 0 1 0 0 36 62 64 -1.29853952009306
+4 0 1 0 0 36 64 64 -1.19085333942327
+4 0 1 0 0 36 66 64 -1.05234096975728
+4 0 1 0 0 36 68 64 -0.892845870530513
+4 0 1 0 0 36 70 64 -0.714497823120434
+4 0 1 0 0 36 72 64 -0.520281255144489
+4 0 1 0 0 36 74 64 -0.32340773784078
+4 0 1 0 0 36 76 64 -0.11458202275314
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 1.04037351840835
+4 0 0 0 0 36 4 64 1.29492434916457
+4 0 0 0 0 36 8 64 1.44456811036311
+4 0 0 0 0 36 12 64 1.47718155443739
+4 0 0 0 0 36 16 64 1.39012253410813
+4 0 0 0 0 36 20 64 1.19044405344247
+4 0 0 0 0 36 24 64 0.894322875410286
+4 0 0 0 0 36 28 64 0.525748976755298
+4 0 0 0 0 36 32 64 0.110168092858416
+4 0 0 0 0 36 36 64 -0.310081002176374
+4 0 0 0 0 36 40 64 -0.706969691161426
+4 0 0 0 0 36 44 64 -1.04606628302188
+4 0 0 0 0 36 48 64 -1.30003066340649
+4 0 0 0 0 36 52 64 -1.44871206619806
+4 0 0 0 0 36 56 64 -1.48002743031502
+4 0 0 0 0 36 60 64 -1.39124611879146
+4 0 0 0 0 36 64 64 -1.19085333942327
+4 0 0 0 0 36 68 64 -0.892845870530513
+4 0 0 0 0 36 72 64 -0.520281255144489
+4 0 0 0 0 36 76 64 -0.11458202275314
+4 0 0 0 0 36 80 64 0.305867685286936
+4 0 0 0 0 36 84 64 0.701537812530231
+4 0 0 0 0 36 88 64 1.04037351840835
+4 0 0 0 0 36 92 64 1.29492434916457
+4 0 0 0 0 36 96 64 1.44456811036311
+4 0 0 0 0 36 100 64 1.47718155443739
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 -0.720456049732055
+5 0 2 0 0 36 40 64 -0.811699931015273
+5 0 2 0 0 36 41 64 -0.890668363476592
+5 0 2 0 0 36 42 64 -0.977975001111856
+5 0 2 0 0 36 43 64 -1.05783022004377
+5 0 2 0 0 36 44 64 -1.12892365942777
+5 0 2 0 0 36 45 64 -1.19463289072523
+5 0 2 0 0 36 46 64 -1.25430787496222
+5 0 2 0 0 36 47 64 -1.30762211598439
+5 0 2 0 0 36 48 64 -1.3542718901311
+5 0 2 0 0 36 49 64 -1.39402072009137
+5 0 2 0 0 36 50 64 -1.42666592756606
+5 0 2 0 0 36 51 64 -1.45204117254721
+5 0 2 0 0 36 52 64 -1.47001714868485
+5 0 2 0 0 36 53 64 -1.48050225426048
+5 0 2 0 0 36 54 64 -1.48344305974537
+5 0 2 0 0 36 55 64 -1.47882457404054
+5 0 2 0 0 36 56 64 -1.46667030245444
+5 0 2 0 0 36 57 64 -1.44704166129123
+5 0 2 0 0 36 58 64 -1.42003743695973
+5 0 2 0 0 36 59 64 -1.3857256032689
+5 0 2 0 0 36 60 64 -1.34377042444706
+5 0 2 0 0 36 61 64 -1.29319739720623
+5 0 2 0 0 36 62 64 -1.23612713226745
+5 0 2 0 0 36 63 64 -1.17840085972231
+5 0 2 0 0 36 64 64 -1.1146800096718
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 -0.825251463447646
+6 0 2 0 0 36 40 64 -0.911868279213445
+6 0 2 0 0 36 41 64 -0.98457646389108
+6 0 2 0 0 36 42 64 -1.0637785658956
+6 0 2 0 0 36 43 64 -1.13918546207921
+6 0 2 0 0 36 44 64 -1.20413444869373
+6 0 2 0 0 36 45 64 -1.26284693778928
+6 0 2 0 0 36 46 64 -1.31507471058861
+6 0 2 0 0 36 47 64 -1.36069906079511
+6 0 2 0 0 36 48 64 -1.399388041422
+6 0 2 0 0 36 49 64 -1.43094711180397
+6 0 2 0 0 36 50 64 -1.45521427715225
+6 0 2 0 0 36 51 64 -1.47206600696713
+6 0 2 0 0 36 52 64 -1.48141642682495
+6 0 2 0 0 36 53 64 -1.48321788648585
+6 0 2 0 0 36 54 64 -1.47746120712204
+6 0 2 0 0 36 55 64 -1.46417567600276
+6 0 2 0 0 36 56 64 -1.44342890648663
+6 0 2 0 0 36 57 64 -1.41532437556751
+6 0 2 0 0 36 58 64 -1.37998787988774
+6 0 2 0 0 36 59 64 -1.33736001008198
+6 0 2 0 0 36 60 64 -1.28682040865219
+6 0 2 0 0 36 61 64 -1.22850571985774
+6 0 2 0 0 36 62 64 -1.16606857231875
+6 0 2 0 0 36 63 64 -1.10139941759832
+6 0 2 0 0 36 64 64 -1.03043856925277
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0.499998091668189
+6 0 1 0 0 36 28 64 0.29650087145551
+6 0 1 0 0 36 30 64 0.0741339936112615
+6 0 1 0 0 36 32 64 -0.134277737471978
+6 0 1 0 0 36 34 64 -0.341223687197958
+6 0 1 0 0 36 36 64 -0.542723714189267
+6 0 1 0 0 36 38 64 -0.733938438170029
+6 0 1 0 0 36 40 64 -0.911868279213445
+6 0 1 0 0 36 42 64 -1.0637785658956
+6 0 1 0 0 36 44 64 -1.20413444869373
+6 0 1 0 0 36 46 64 -1.31507471058861
+6 0 1 0 0 36 48 64 -1.399388041422
+6 0 1 0 0 36 50 64 -1.45521427715225
+6 0 1 0 0 36 52 64 -1.48141642682495
+6 0 1 0 0 36 54 64 -1.47746120712204
+6 0 1 0 0 36 56 64 -1.44342890648663
+6 0 1 0 0 36 58 64 -1.37998787988774
+6 0 1 0 0 36 60 64 -1.28682040865219
+6 0 1 0 0 36 62 64 -1.16606857231875
+6 0 1 0 0 36 64 64 -1.03043856925277
+6 0 1 0 0 36 66 64 -0.867589612648953
+6 0 1 0 0 36 68 64 -0.687106328759957
+6 0 1 0 0 36 70 64 -0.491521177607511
+6 0 1 0 0 36 72 64 -0.288317886555492
+6 0 1 0 0 36 74 64 -0.0846853385949951
+6 0 1 0 0 36 76 64 0.123896867874397
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 -0.923798459371931
+7 0 2 0 0 36 40 64 -1.00494687221589
+7 0 2 0 0 36 41 64 -1.07263745432679
+7 0 2 0 0 36 42 64 -1.14282769759011
+7 0 2 0 0 36 43 64 -1.21218389413878
+7 0 2 0 0 36 44 64 -1.27098563200349
+7 0 2 0 0 36 45 64 -1.32259841315731
+7 0 2 0 0 36 46 64 -1.36698869825637
+7 0 2 0 0 36 47 64 -1.4046103924158
+7 0 2 0 0 36 48 64 -1.4350742889929
+7 0 2 0 0 36 49 64 -1.45823106085585
+7 0 2 0 0 36 50 64 -1.47395642424405
+7 0 2 0 0 36 51 64 -1.48217087833957
+7 0 2 0 0 36 52 64 -1.48283252950853
+7 0 2 0 0 36 53 64 -1.4759379961031
+7 0 2 0 0 36 54 64 -1.46152241434492
+7 0 2 0 0 36 55 64 -1.43965903174
+7 0 2 0 0 36 56 64 -1.41045895383193
+7 0 2 0 0 36 57 64 -1.37406045416417
+7 0 2 0 0 36 58 64 -1.33056910010278
+7 0 2 0 0 36 59 64 -1.27969756748045
+7 0 2 0 0 36 60 64 -1.22093685416331
+7 0 2 0 0 36 61 64 -1.15619381892945
+7 0 2 0 0 36 62 64 -1.08841085306723
+7 0 2 0 0 36 63 64 -1.01680934218171
+7 0 2 0 0 36 64 64 -0.939741959084538
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 -1.01665339204838
+8 0 2 0 0 36 40 64 -1.09177833120261
+8 0 2 0 0 36 41 64 -1.15363126088142
+8 0 2 0 0 36 42 64 -1.21521121779194
+8 0 2 0 0 36 43 64 -1.27659983610386
+8 0 2 0 0 36 44 64 -1.32878581883653
+8 0 2 0 0 36 45 64 -1.3734185815842
+8 0 2 0 0 36 46 64 -1.40970244330892
+8 0 2 0 0 36 47 64 -1.43906587293171
+8 0 2 0 0 36 48 64 -1.46108932970593
+8 0 2 0 0 36 49 64 -1.475688128961
+8 0 2 0 0 36 50 64 -1.48276537459717
+8 0 2 0 0 36 51 64 -1.48228702686054
+8 0 2 0 0 36 52 64 -1.47425526169019
+8 0 2 0 0 36 53 64 -1.45871098690434
+8 0 2 0 0 36 54 64 -1.43573342822125
+8 0 2 0 0 36 55 64 -1.40543894981878
+8 0 2 0 0 36 56 64 -1.36797980455602
+8 0 2 0 0 36 57 64 -1.32350675372445
+8 0 2 0 0 36 58 64 -1.27202852161867
+8 0 2 0 0 36 59 64 -1.2130814496207
+8 0 2 0 0 36 60 64 -1.14691354902337
+8 0 2 0 0 36 61 64 -1.07681682605936
+8 0 2 0 0 36 62 64 -1.00359303537539
+8 0 2 0 0 36 63 64 -0.925575394360468
+8 0 2 0 0 36 64 64 -0.842052532194325
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0.263621157886714
+8 0 1 0 0 36 28 64 0.0533677964350139
+8 0 1 0 0 36 30 64 -0.165224104904855
+8 0 1 0 0 36 32 64 -0.375185470046145
+8 0 1 0 0 36 34 64 -0.573422549562268
+8 0 1 0 0 36 36 64 -0.76105055182942
+8 0 1 0 0 36 38 64 -0.935341351931626
+8 0 1 0 0 36 40 64 -1.09177833120261
+8 0 1 0 0 36 42 64 -1.21521121779194
+8 0 1 0 0 36 44 64 -1.32878581883653
+8 0 1 0 0 36 46 64 -1.40970244330892
+8 0 1 0 0 36 48 64 -1.46108932970593
+8 0 1 0 0 36 50 64 -1.48276537459717
+8 0 1 0 0 36 52 64 -1.47425526169019
+8 0 1 0 0 36 54 64 -1.43573342822125
+8 0 1 0 0 36 56 64 -1.36797980455602
+8 0 1 0 0 36 58 64 -1.27202852161867
+8 0 1 0 0 36 60 64 -1.14691354902337
+8 0 1 0 0 36 62 64 -1.00359303537539
+8 0 1 0 0 36 64 64 -0.842052532194325
+8 0 1 0 0 36 66 64 -0.659525892577908
+8 0 1 0 0 36 68 64 -0.462497950338257
+8 0 1 0 0 36 70 64 -0.255741497644332
+8 0 1 0 0 36 72 64 -0.0517473357738276
+8 0 1 0 0 36 74 64 0.158417528163829
+8 0 1 0 0 36 76 64 0.365689845468934
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 1.32235996276565
+8 0 0 0 0 36 4 64 1.45563790907231
+8 0 0 0 0 36 8 64 1.47098872899794
+8 0 0 0 0 36 12 64 1.36716879040695
+8 0 0 0 0 36 16 64 1.15258896728308
+8 0 0 0 0 36 20 64 0.844633240740451
+8 0 0 0 0 36 24 64 0.468206705253212
+8 0 0 0 0 36 28 64 0.0533677964350139
+8 0 0 0 0 36 32 64 -0.375185470046145
+8 0 0 0 0 36 36 64 -0.76105055182942
+8 0 0 0 0 36 40 64 -1.09177833120261
+8 0 0 0 0 36 44 64 -1.32878581883653
+8 0 0 0 0 36 48 64 -1.46108932970593
+8 0 0 0 0 36 52 64 -1.47425526169019
+8 0 0 0 0 36 56 64 -1.36797980455602
+8 0 0 0 0 36 60 64 -1.14691354902337
+8 0 0 0 0 36 64 64 -0.842052532194325
+8 0 0 0 0 36 68 64 -0.462497950338257
+8 0 0 0 0 36 72 64 -0.0517473357738276
+8 0 0 0 0 36 76 64 0.365689845468934
+8 0 0 0 0 36 80 64 0.753913946830804
+8 0 0 0 0 36 84 64 1.08195227665321
+8 0 0 0 0 36 88 64 1.32235996276565
+8 0 0 0 0 36 92 64 1.45563790907231
+8 0 0 0 0 36 96 64 1.47098872899794
+8 0 0 0 0 36 100 64 1.36716879040695
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 -1.10197354662862
+9 0 2 0 0 36 40 64 -1.17038536647727
+9 0 2 0 0 36 41 64 -1.2263750447784
+9 0 2 0 0 36 42 64 -1.28047230899121
+9 0 2 0 0 36 43 64 -1.3325646126195
+9 0 2 0 0 36 44 64 -1.37704809253979
+9 0 2 0 0 36 45 64 -1.41481801946604
+9 0 2 0 0 36 46 64 -1.44290603977633
+9 0 2 0 0 36 47 64 -1.46384272132814
+9 0 2 0 0 36 48 64 -1.47725802596441
+9 0 2 0 0 36 49 64 -1.48320059468999
+9 0 2 0 0 36 50 64 -1.48158113856207
+9 0 2 0 0 36 51 64 -1.47241304985829
+9 0 2 0 0 36 52 64 -1.45574174653676
+9 0 2 0 0 36 53 64 -1.43165216996351
+9 0 2 0 0 36 54 64 -1.40026713601872
+9 0 2 0 0 36 55 64 -1.3617441619874
+9 0 2 0 0 36 56 64 -1.31626840586099
+9 0 2 0 0 36 57 64 -1.26395770762087
+9 0 2 0 0 36 58 64 -1.20466904600595
+9 0 2 0 0 36 59 64 -1.1380714781473
+9 0 2 0 0 36 60 64 -1.06562002220476
+9 0 2 0 0 36 61 64 -0.990770856834894
+9 0 2 0 0 36 62 64 -0.911840109962254
+9 0 2 0 0 36 63 64 -0.828204733846617
+9 0 2 0 0 36 64 64 -0.739353575109542
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 -1.18023916402727
+10 0 2 0 0 36 40 64 -1.24142707460531
+10 0 2 0 0 36 41 64 -1.29031136882336
+10 0 2 0 0 36 42 64 -1.33766687173017
+10 0 2 0 0 36 43 64 -1.38023669514835
+10 0 2 0 0 36 44 64 -1.41562558149561
+10 0 2 0 0 36 45 64 -1.44634514860254
+10 0 2 0 0 36 46 64 -1.46630378826829
+10 0 2 0 0 36 47 64 -1.47877838134964
+10 0 2 0 0 36 48 64 -1.48347207931877
+10 0 2 0 0 36 49 64 -1.48071770784656
+10 0 2 0 0 36 50 64 -1.47040985209532
+10 0 2 0 0 36 51 64 -1.45261350661888
+10 0 2 0 0 36 52 64 -1.4274144684613
+10 0 2 0 0 36 53 64 -1.39494125389364
+10 0 2 0 0 36 54 64 -1.35535936021327
+10 0 2 0 0 36 55 64 -1.3088625205059
+10 0 2 0 0 36 56 64 -1.25564795522419
+10 0 2 0 0 36 57 64 -1.1957425016407
+10 0 2 0 0 36 58 64 -1.12890704916396
+10 0 2 0 0 36 59 64 -1.05543327648802
+10 0 2 0 0 36 60 64 -0.977799458284367
+10 0 2 0 0 36 61 64 -0.898235193342429
+10 0 2 0 0 36 62 64 -0.814020098749878
+10 0 2 0 0 36 63 64 -0.724961170542757
+10 0 2 0 0 36 64 64 -0.63098399232105
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0.0259497914952036
+10 0 1 0 0 36 28 64 -0.186128547445761
+10 0 1 0 0 36 30 64 -0.397987015567822
+10 0 1 0 0 36 32 64 -0.60437469107401
+10 0 1 0 0 36 34 64 -0.791024912547747
+10 0 1 0 0 36 36 64 -0.959499187669398
+10 0 1 0 0 36 38 64 -1.11196721676479
+10 0 1 0 0 36 40 64 -1.24142707460531
+10 0 1 0 0 36 42 64 -1.33766687173017
+10 0 1 0 0 36 44 64 -1.41562558149561
+10 0 1 0 0 36 46 64 -1.46630378826829
+10 0 1 0 0 36 48 64 -1.48347207931877
+10 0 1 0 0 36 50 64 -1.47040985209532
+10 0 1 0 0 36 52 64 -1.4274144684613
+10 0 1 0 0 36 54 64 -1.35535936021327
+10 0 1 0 0 36 56 64 -1.25564795522419
+10 0 1 0 0 36 58 64 -1.12890704916396
+10 0 1 0 0 36 60 64 -0.977799458284367
+10 0 1 0 0 36 62 64 -0.814020098749878
+10 0 1 0 0 36 64 64 -0.63098399232105
+10 0 1 0 0 36 66 64 -0.433450877649411
+10 0 1 0 0 36 68 64 -0.225177133609544
+10 0 1 0 0 36 70 64 -0.0149807694780649
+10 0 1 0 0 36 72 64 0.184819424731916
+10 0 1 0 0 36 74 64 0.391468646142204
+10 0 1 0 0 36 76 64 0.592384341486406
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 -1.25003340514265
+11 0 2 0 0 36 40 64 -1.30372897422885
+11 0 2 0 0 36 41 64 -1.34507251502796
+11 0 2 0 0 36 42 64 -1.38577670001809
+11 0 2 0 0 36 43 64 -1.41947944150697
+11 0 2 0 0 36 44 64 -1.44467999811729
+11 0 2 0 0 36 45 64 -1.4676950927169
+11 0 2 0 0 36 46 64 -1.47960874212258
+11 0 2 0 0 36 47 64 -1.48374971542912
+11 0 2 0 0 36 48 64 -1.47968320543293
+11 0 2 0 0 36 49 64 -1.46825106121931
+11 0 2 0 0 36 50 64 -1.44931781788264
+11 0 2 0 0 36 51 64 -1.42301236349333
+11 0 2 0 0 36 52 64 -1.38945409271992
+11 0 2 0 0 36 53 64 -1.34881459979943
+11 0 2 0 0 36 54 64 -1.301299959883
+11 0 2 0 0 36 55 64 -1.24712852650723
+11 0 2 0 0 36 56 64 -1.18647284842102
+11 0 2 0 0 36 57 64 -1.11924053698613
+11 0 2 0 0 36 58 64 -1.04532028386923
+11 0 2 0 0 36 59 64 -0.966024752622206
+11 0 2 0 0 36 60 64 -0.88397261594982
+11 0 2 0 0 36 61 64 -0.799626635584155
+11 0 2 0 0 36 62 64 -0.710532974172635
+11 0 2 0 0 36 63 64 -0.616935069185133
+11 0 2 0 0 36 64 64 -0.5190549065991
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 -1.31191241373455
+12 0 2 0 0 36 40 64 -1.35768255913385
+12 0 2 0 0 36 41 64 -1.3906978205958
+12 0 2 0 0 36 42 64 -1.42400426266284
+12 0 2 0 0 36 43 64 -1.44976482215036
+12 0 2 0 0 36 44 64 -1.46447653474731
+12 0 2 0 0 36 45 64 -1.47879824313617
+12 0 2 0 0 36 46 64 -1.48257318165925
+12 0 2 0 0 36 47 64 -1.47864394543485
+12 0 2 0 0 36 48 64 -1.46588365877104
+12 0 2 0 0 36 49 64 -1.44586175346004
+12 0 2 0 0 36 50 64 -1.41841828581384
+12 0 2 0 0 36 51 64 -1.38377925203336
+12 0 2 0 0 36 52 64 -1.34208519347157
+12 0 2 0 0 36 53 64 -1.29355042030096
+12 0 2 0 0 36 54 64 -1.23841618229032
+12 0 2 0 0 36 55 64 -1.17690308109059
+12 0 2 0 0 36 56 64 -1.10911718620013
+12 0 2 0 0 36 57 64 -1.03491132153172
+12 0 2 0 0 36 58 64 -0.954640720679126
+12 0 2 0 0 36 59 64 -0.87063344663456
+12 0 2 0 0 36 60 64 -0.784494152553865
+12 0 2 0 0 36 61 64 -0.695383512559679
+12 0 2 0 0 36 62 64 -0.602360167198989
+12 0 2 0 0 36 63 64 -0.50436126291658
+12 0 2 0 0 36 64 64 -0.402862610353608
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 -0.219723513175478
+12 0 1 0 0 36 28 64 -0.427828727140292
+12 0 1 0 0 36 30 64 -0.619305537636079
+12 0 1 0 0 36 32 64 -0.814998642610056
+12 0 1 0 0 36 34 64 -0.987658720314813
+12 0 1 0 0 36 36 64 -1.13295140853369
+12 0 1 0 0 36 38 64 -1.25870810578918
+12 0 1 0 0 36 40 64 -1.35768255913385
+12 0 1 0 0 36 42 64 -1.42400426266284
+12 0 1 0 0 36 44 64 -1.46447653474731
+12 0 1 0 0 36 46 64 -1.48257318165925
+12 0 1 0 0 36 48 64 -1.46588365877104
+12 0 1 0 0 36 50 64 -1.41841828581384
+12 0 1 0 0 36 52 64 -1.34208519347157
+12 0 1 0 0 36 54 64 -1.23841618229032
+12 0 1 0 0 36 56 64 -1.10911718620013
+12 0 1 0 0 36 58 64 -0.954640720679126
+12 0 1 0 0 36 60 64 -0.784494152553865
+12 0 1 0 0 36 62 64 -0.602360167198989
+12 0 1 0 0 36 64 64 -0.402862610353608
+12 0 1 0 0 36 66 64 -0.19530767489704
+12 0 1 0 0 36 68 64 0.0178764912550505
+12 0 1 0 0 36 70 64 0.223918895444559
+12 0 1 0 0 36 72 64 0.415552217192391
+12 0 1 0 0 36 74 64 0.620349913453887
+12 0 1 0 0 36 76 64 0.810117878774835
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 1.46726877247893
+12 0 0 0 0 36 4 64 1.46532163785482
+12 0 0 0 0 36 8 64 1.34466426266899
+12 0 0 0 0 36 12 64 1.11507018594799
+12 0 0 0 0 36 16 64 0.795138709316885
+12 0 0 0 0 36 20 64 0.410792883642146
+12 0 0 0 0 36 24 64 -0.00723191276043914
+12 0 0 0 0 36 28 64 -0.427828727140292
+12 0 0 0 0 36 32 64 -0.814998642610056
+12 0 0 0 0 36 36 64 -1.13295140853369
+12 0 0 0 0 36 40 64 -1.35768255913385
+12 0 0 0 0 36 44 64 -1.46447653474731
+12 0 0 0 0 36 48 64 -1.46588365877104
+12 0 0 0 0 36 52 64 -1.34208519347157
+12 0 0 0 0 36 56 64 -1.10911718620013
+12 0 0 0 0 36 60 64 -0.784494152553865
+12 0 0 0 0 36 64 64 -0.402862610353608
+12 0 0 0 0 36 68 64 0.0178764912550505
+12 0 0 0 0 36 72 64 0.415552217192391
+12 0 0 0 0 36 76 64 0.810117878774835
+12 0 0 0 0 36 80 64 1.12426887983433
+12 0 0 0 0 36 84 64 1.35039043548382
+12 0 0 0 0 36 88 64 1.46726877247893
+12 0 0 0 0 36 92 64 1.46532163785482
+12 0 0 0 0 36 96 64 1.34466426266899
+12 0 0 0 0 36 100 64 1.11507018594799
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 -1.36463969991204
+13 0 2 0 0 36 40 64 -1.40232025572341
+13 0 2 0 0 36 41 64 -1.42695341845574
+13 0 2 0 0 36 42 64 -1.45203133784967
+13 0 2 0 0 36 43 64 -1.47032355257193
+13 0 2 0 0 36 44 64 -1.47511950410959
+13 0 2 0 0 36 45 64 -1.4798141708478
+13 0 2 0 0 36 46 64 -1.4750520139549
+13 0 2 0 0 36 47 64 -1.46334046455771
+13 0 2 0 0 36 48 64 -1.44207745709672
+13 0 2 0 0 36 49 64 -1.41364096925597
+13 0 2 0 0 36 50 64 -1.377854482485
+13 0 2 0 0 36 51 64 -1.33511254528648
+13 0 2 0 0 36 52 64 -1.28555906087599
+13 0 2 0 0 36 53 64 -1.22945101842324
+13 0 2 0 0 36 54 64 -1.16705254774283
+13 0 2 0 0 36 55 64 -1.09855371104932
+13 0 2 0 0 36 56 64 -1.02397875744159
+13 0 2 0 0 36 57 64 -0.943322366869572
+13 0 2 0 0 36 58 64 -0.857677797744209
+13 0 2 0 0 36 59 64 -0.769865282176581
+13 0 2 0 0 36 60 64 -0.679693287576428
+13 0 2 0 0 36 61 64 -0.586283626089608
+13 0 2 0 0 36 62 64 -0.489909406989196
+13 0 2 0 0 36 63 64 -0.388762805723372
+13 0 2 0 0 36 64 64 -0.284623360177852
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 -1.408622964021
+14 0 2 0 0 36 40 64 -1.43796458852983
+14 0 2 0 0 36 41 64 -1.45379626427697
+14 0 2 0 0 36 42 64 -1.46980634554307
+14 0 2 0 0 36 43 64 -1.4804458489
+14 0 2 0 0 36 44 64 -1.47638718691242
+14 0 2 0 0 36 45 64 -1.47101067304015
+14 0 2 0 0 36 46 64 -1.45707135736406
+14 0 2 0 0 36 47 64 -1.43773032795494
+14 0 2 0 0 36 48 64 -1.40826066756361
+14 0 2 0 0 36 49 64 -1.37169489286173
+14 0 2 0 0 36 50 64 -1.32779089850811
+14 0 2 0 0 36 51 64 -1.27723214089916
+14 0 2 0 0 36 52 64 -1.22014641786081
+14 0 2 0 0 36 53 64 -1.15683468884109
+14 0 2 0 0 36 54 64 -1.08756105057891
+14 0 2 0 0 36 55 64 -1.01245388492798
+14 0 2 0 0 36 56 64 -0.931509409065258
+14 0 2 0 0 36 57 64 -0.845157448578677
+14 0 2 0 0 36 58 64 -0.755209535047839
+14 0 2 0 0 36 59 64 -0.664144728833868
+14 0 2 0 0 36 60 64 -0.570016054458374
+14 0 2 0 0 36 61 64 -0.472987313172477
+14 0 2 0 0 36 62 64 -0.374157515063308
+14 0 2 0 0 36 63 64 -0.26983763735753
+14 0 2 0 0 36 64 64 -0.163598403874073
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 -0.453780634249616
+14 0 1 0 0 36 28 64 -0.652855726256995
+14 0 1 0 0 36 30 64 -0.824996364004391
+14 0 1 0 0 36 32 64 -1.00145094780999
+14 0 1 0 0 36 34 64 -1.15710389308265
+14 0 1 0 0 36 36 64 -1.27653505904154
+14 0 1 0 0 36 38 64 -1.37151923069154
+14 0 1 0 0 36 40 64 -1.43796458852983
+14 0 1 0 0 36 42 64 -1.46980634554307
+14 0 1 0 0 36 44 64 -1.47638718691242
+14 0 1 0 0 36 46 64 -1.45707135736406
+14 0 1 0 0 36 48 64 -1.40826066756361
+14 0 1 0 0 36 50 64 -1.32779089850811
+14 0 1 0 0 36 52 64 -1.22014641786081
+14 0 1 0 0 36 54 64 -1.08756105057891
+14 0 1 0 0 36 56 64 -0.931509409065258
+14 0 1 0 0 36 58 64 -0.755209535047839
+14 0 1 0 0 36 60 64 -0.570016054458374
+14 0 1 0 0 36 62 64 -0.374157515063308
+14 0 1 0 0 36 64 64 -0.163598403874073
+14 0 1 0 0 36 66 64 0.0482852497054504
+14 0 1 0 0 36 68 64 0.259284179336091
+14 0 1 0 0 36 70 64 0.454781139785923
+14 0 1 0 0 36 72 64 0.635853202466409
+14 0 1 0 0 36 74 64 0.825074458131585
+14 0 1 0 0 36 76 64 1.00115832447559
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 -1.44291141753394
+15 0 2 0 0 36 40 64 -1.46365148065584
+15 0 2 0 0 36 41 64 -1.47077334183969
+15 0 2 0 0 36 42 64 -1.47750627970601
+15 0 2 0 0 36 43 64 -1.47974268579575
+15 0 2 0 0 36 44 64 -1.46778481691624
+15 0 2 0 0 36 45 64 -1.45259110567904
+15 0 2 0 0 36 46 64 -1.42886384269895
+15 0 2 0 0 36 47 64 -1.40179013283566
+15 0 2 0 0 36 48 64 -1.36444019166037
+15 0 2 0 0 36 49 64 -1.32015248634615
+15 0 2 0 0 36 50 64 -1.26842933963799
+15 0 2 0 0 36 51 64 -1.21039913741074
+15 0 2 0 0 36 52 64 -1.14615695151289
+15 0 2 0 0 36 53 64 -1.07605402624617
+15 0 2 0 0 36 54 64 -1.00032078507625
+15 0 2 0 0 36 55 64 -0.91902191061235
+15 0 2 0 0 36 56 64 -0.832272731200327
+15 0 2 0 0 36 57 64 -0.741200789416289
+15 0 2 0 0 36 58 64 -0.647909983441495
+15 0 2 0 0 36 59 64 -0.553840468021571
+15 0 2 0 0 36 60 64 -0.456102599375114
+15 0 2 0 0 36 61 64 -0.356380100125661
+15 0 2 0 0 36 62 64 -0.255565301029991
+15 0 2 0 0 36 63 64 -0.149741549265148
+15 0 2 0 0 36 64 64 -0.0421290589780357
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 -1.46769049889602
+16 0 2 0 0 36 40 64 -1.4797022910672
+16 0 2 0 0 36 41 64 -1.47786079408716
+16 0 2 0 0 36 42 64 -1.47518996533724
+16 0 2 0 0 36 43 64 -1.46826666983473
+16 0 2 0 0 36 44 64 -1.44880705095513
+16 0 2 0 0 36 45 64 -1.42459096294553
+16 0 2 0 0 36 46 64 -1.39084765982891
+16 0 2 0 0 36 47 64 -1.35569598655919
+16 0 2 0 0 36 48 64 -1.31071263594263
+16 0 2 0 0 36 49 64 -1.25921153890509
+16 0 2 0 0 36 50 64 -1.20005874117622
+16 0 2 0 0 36 51 64 -1.13497066262814
+16 0 2 0 0 36 52 64 -1.06399375398671
+16 0 2 0 0 36 53 64 -0.987549142903695
+16 0 2 0 0 36 54 64 -0.905798170570279
+16 0 2 0 0 36 55 64 -0.818804107383782
+16 0 2 0 0 36 56 64 -0.727012158955995
+16 0 2 0 0 36 57 64 -0.632309848602921
+16 0 2 0 0 36 58 64 -0.536372574168108
+16 0 2 0 0 36 59 64 -0.439448150548087
+16 0 2 0 0 36 60 64 -0.338793324590794
+16 0 2 0 0 36 61 64 -0.23715282692898
+16 0 2 0 0 36 62 64 -0.135233478829436
+16 0 2 0 0 36 63 64 -0.0276184725491741
+16 0 2 0 0 36 64 64 0.0805651136888488
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 -0.683149134137897
+16 0 1 0 0 36 28 64 -0.867501883593065
+16 0 1 0 0 36 30 64 -1.01034668232617
+16 0 1 0 0 36 32 64 -1.16027475763583
+16 0 1 0 0 36 34 64 -1.29396154932964
+16 0 1 0 0 36 36 64 -1.38565687473704
+16 0 1 0 0 36 38 64 -1.44752853617313
+16 0 1 0 0 36 40 64 -1.4797022910672
+16 0 1 0 0 36 42 64 -1.47518996533724
+16 0 1 0 0 36 44 64 -1.44880705095513
+16 0 1 0 0 36 46 64 -1.39084765982891
+16 0 1 0 0 36 48 64 -1.31071263594263
+16 0 1 0 0 36 50 64 -1.20005874117622
+16 0 1 0 0 36 52 64 -1.06399375398671
+16 0 1 0 0 36 54 64 -0.905798170570279
+16 0 1 0 0 36 56 64 -0.727012158955995
+16 0 1 0 0 36 58 64 -0.536372574168108
+16 0 1 0 0 36 60 64 -0.338793324590794
+16 0 1 0 0 36 62 64 -0.135233478829436
+16 0 1 0 0 36 64 64 0.0805651136888488
+16 0 1 0 0 36 66 64 0.290228298930002
+16 0 1 0 0 36 68 64 0.492049452347005
+16 0 1 0 0 36 70 64 0.672853886400296
+16 0 1 0 0 36 72 64 0.839426116203983
+16 0 1 0 0 36 74 64 1.01688092241484
+16 0 1 0 0 36 76 64 1.17141638954154
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 1.45992608153296
+16 0 0 0 0 36 4 64 1.32282696732083
+16 0 0 0 0 36 8 64 1.07856740479088
+16 0 0 0 0 36 12 64 0.746931394999782
+16 0 0 0 0 36 16 64 0.354776267666361
+16 0 0 0 0 36 20 64 -0.0661685811484212
+16 0 0 0 0 36 24 64 -0.483353725446316
+16 0 0 0 0 36 28 64 -0.867501883593065
+16 0 0 0 0 36 32 64 -1.16027475763583
+16 0 0 0 0 36 36 64 -1.38565687473704
+16 0 0 0 0 36 40 64 -1.4797022910672
+16 0 0 0 0 36 44 64 -1.44880705095513
+16 0 0 0 0 36 48 64 -1.31071263594263
+16 0 0 0 0 36 52 64 -1.06399375398671
+16 0 0 0 0 36 56 64 -0.727012158955995
+16 0 0 0 0 36 60 64 -0.338793324590794
+16 0 0 0 0 36 64 64 0.0805651136888488
+16 0 0 0 0 36 68 64 0.492049452347005
+16 0 0 0 0 36 72 64 0.839426116203983
+16 0 0 0 0 36 76 64 1.17141638954154
+16 0 0 0 0 36 80 64 1.3784844112913
+16 0 0 0 0 36 84 64 1.47899169897039
+16 0 0 0 0 36 88 64 1.45992608153296
+16 0 0 0 0 36 92 64 1.32282696732083
+16 0 0 0 0 36 96 64 1.07856740479088
+16 0 0 0 0 36 100 64 0.746931394999782
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 -1.48245694299255
+17 0 2 0 0 36 40 64 -1.48553614387723
+17 0 2 0 0 36 41 64 -1.4747479218647
+17 0 2 0 0 36 42 64 -1.46300581347607
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+17 0 2 0 0 36 44 64 -1.41927384636801
+17 0 2 0 0 36 45 64 -1.38693937044548
+17 0 2 0 0 36 46 64 -1.34356220990901
+17 0 2 0 0 36 47 64 -1.29992614993771
+17 0 2 0 0 36 48 64 -1.24739103373454
+17 0 2 0 0 36 49 64 -1.18921935485476
+17 0 2 0 0 36 50 64 -1.12312649589995
+17 0 2 0 0 36 51 64 -1.05147443138438
+17 0 2 0 0 36 52 64 -0.97422753644452
+17 0 2 0 0 36 53 64 -0.891922336085506
+17 0 2 0 0 36 54 64 -0.804634886820213
+17 0 2 0 0 36 55 64 -0.712574925661101
+17 0 2 0 0 36 56 64 -0.616695095114902
+17 0 2 0 0 36 57 64 -0.519396487060188
+17 0 2 0 0 36 58 64 -0.421227738531898
+17 0 2 0 0 36 59 64 -0.321738265752815
+17 0 2 0 0 36 60 64 -0.219078656146185
+17 0 2 0 0 36 61 64 -0.116287154751385
+17 0 2 0 0 36 62 64 -0.0137377152721034
+17 0 2 0 0 36 63 64 0.0938876544373084
+17 0 2 0 0 36 64 64 0.201989366802325
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 -1.48725245918587
+18 0 2 0 0 36 40 64 -1.48134666438149
+18 0 2 0 0 36 41 64 -1.46174582877507
+18 0 2 0 0 36 42 64 -1.44101239742721
+18 0 2 0 0 36 43 64 -1.41489662783828
+18 0 2 0 0 36 44 64 -1.37953611598349
+18 0 2 0 0 36 45 64 -1.33966910464077
+18 0 2 0 0 36 46 64 -1.28760063948455
+18 0 2 0 0 36 47 64 -1.23528561552648
+18 0 2 0 0 36 48 64 -1.17512168083832
+18 0 2 0 0 36 49 64 -1.11075583930547
+18 0 2 0 0 36 50 64 -1.03829458134934
+18 0 2 0 0 36 51 64 -0.960661135454952
+18 0 2 0 0 36 52 64 -0.877649428331896
+18 0 2 0 0 36 53 64 -0.789995857274339
+18 0 2 0 0 36 54 64 -0.697721000942771
+18 0 2 0 0 36 55 64 -0.601396204307301
+18 0 2 0 0 36 56 64 -0.502494485334069
+18 0 2 0 0 36 57 64 -0.403422005023313
+18 0 2 0 0 36 58 64 -0.303279673143332
+18 0 2 0 0 36 59 64 -0.201771985002578
+18 0 2 0 0 36 60 64 -0.0980250692777684
+18 0 2 0 0 36 61 64 0.00539886051685992
+18 0 2 0 0 36 62 64 0.107696481435669
+18 0 2 0 0 36 63 64 0.215838518039978
+18 0 2 0 0 36 64 64 0.32297528280381
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 -0.888730058374185
+18 0 1 0 0 36 28 64 -1.05337704090308
+18 0 1 0 0 36 30 64 -1.16994283315765
+18 0 1 0 0 36 32 64 -1.28880196148461
+18 0 1 0 0 36 34 64 -1.39429951132365
+18 0 1 0 0 36 36 64 -1.45637399115322
+18 0 1 0 0 36 38 64 -1.4847501771434
+18 0 1 0 0 36 40 64 -1.48134666438149
+18 0 1 0 0 36 42 64 -1.44101239742721
+18 0 1 0 0 36 44 64 -1.37953611598349
+18 0 1 0 0 36 46 64 -1.28760063948455
+18 0 1 0 0 36 48 64 -1.17512168083832
+18 0 1 0 0 36 50 64 -1.03829458134934
+18 0 1 0 0 36 52 64 -0.877649428331896
+18 0 1 0 0 36 54 64 -0.697721000942771
+18 0 1 0 0 36 56 64 -0.502494485334069
+18 0 1 0 0 36 58 64 -0.303279673143332
+18 0 1 0 0 36 60 64 -0.0980250692777684
+18 0 1 0 0 36 62 64 0.107696481435669
+18 0 1 0 0 36 64 64 0.32297528280381
+18 0 1 0 0 36 66 64 0.523351307686192
+18 0 1 0 0 36 68 64 0.71003843666618
+18 0 1 0 0 36 70 64 0.873245264042688
+18 0 1 0 0 36 72 64 1.02159288845599
+18 0 1 0 0 36 74 64 1.17437912135763
+18 0 1 0 0 36 76 64 1.30651035693035
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 -1.48206696628377
+19 0 2 0 0 36 40 64 -1.46717823329807
+19 0 2 0 0 36 41 64 -1.43884878163964
+19 0 2 0 0 36 42 64 -1.40955023690356
+19 0 2 0 0 36 43 64 -1.37428997355041
+19 0 2 0 0 36 44 64 -1.33042714178431
+19 0 2 0 0 36 45 64 -1.28313456624538
+19 0 2 0 0 36 46 64 -1.22357079762172
+19 0 2 0 0 36 47 64 -1.16281108817682
+19 0 2 0 0 36 48 64 -1.09490963378038
+19 0 2 0 0 36 49 64 -1.02466703919193
+19 0 2 0 0 36 50 64 -0.946435386904182
+19 0 2 0 0 36 51 64 -0.86348497849749
+19 0 2 0 0 36 52 64 -0.775253368439487
+19 0 2 0 0 36 53 64 -0.682805785649837
+19 0 2 0 0 36 54 64 -0.586197288992096
+19 0 2 0 0 36 55 64 -0.486574880137309
+19 0 2 0 0 36 56 64 -0.385686957537764
+19 0 2 0 0 36 57 64 -0.285384666079416
+19 0 2 0 0 36 58 64 -0.183550615334153
+19 0 2 0 0 36 59 64 -0.0807703679753363
+19 0 2 0 0 36 60 64 0.0233154210775311
+19 0 2 0 0 36 61 64 0.126787348879679
+19 0 2 0 0 36 62 64 0.228438766505946
+19 0 2 0 0 36 63 64 0.335270464186158
+19 0 2 0 0 36 64 64 0.440854923792492
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 -1.46674773288644
+20 0 2 0 0 36 40 64 -1.44301605705426
+20 0 2 0 0 36 41 64 -1.40660695038578
+20 0 2 0 0 36 42 64 -1.36892425828763
+20 0 2 0 0 36 43 64 -1.32518840782664
+20 0 2 0 0 36 44 64 -1.27297851249274
+20 0 2 0 0 36 45 64 -1.21806795615209
+20 0 2 0 0 36 46 64 -1.15207694651717
+20 0 2 0 0 36 47 64 -1.08357137976273
+20 0 2 0 0 36 48 64 -1.00799795919863
+20 0 2 0 0 36 49 64 -0.932006104685779
+20 0 2 0 0 36 50 64 -0.848543783447229
+20 0 2 0 0 36 51 64 -0.760989160390625
+20 0 2 0 0 36 52 64 -0.668124786216327
+20 0 2 0 0 36 53 64 -0.571506580777423
+20 0 2 0 0 36 54 64 -0.471351610665998
+20 0 2 0 0 36 55 64 -0.369497387053801
+20 0 2 0 0 36 56 64 -0.267482260522979
+20 0 2 0 0 36 57 64 -0.166264492616861
+20 0 2 0 0 36 58 64 -0.0631701088474107
+20 0 2 0 0 36 59 64 0.0401114043130193
+20 0 2 0 0 36 60 64 0.143990395662635
+20 0 2 0 0 36 61 64 0.247065005518167
+20 0 2 0 0 36 62 64 0.34730498319372
+20 0 2 0 0 36 63 64 0.453476069098801
+20 0 2 0 0 36 64 64 0.556517602401976
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 -1.07669259617944
+20 0 1 0 0 36 28 64 -1.21661125093551
+20 0 1 0 0 36 30 64 -1.29939851147997
+20 0 1 0 0 36 32 64 -1.38479302775957
+20 0 1 0 0 36 34 64 -1.45589414808572
+20 0 1 0 0 36 36 64 -1.48598781792659
+20 0 1 0 0 36 38 64 -1.48195801138759
+20 0 1 0 0 36 40 64 -1.44301605705426
+20 0 1 0 0 36 42 64 -1.36892425828763
+20 0 1 0 0 36 44 64 -1.27297851249274
+20 0 1 0 0 36 46 64 -1.15207694651717
+20 0 1 0 0 36 48 64 -1.00799795919863
+20 0 1 0 0 36 50 64 -0.848543783447229
+20 0 1 0 0 36 52 64 -0.668124786216327
+20 0 1 0 0 36 54 64 -0.471351610665998
+20 0 1 0 0 36 56 64 -0.267482260522979
+20 0 1 0 0 36 58 64 -0.0631701088474107
+20 0 1 0 0 36 60 64 0.143990395662635
+20 0 1 0 0 36 62 64 0.34730498319372
+20 0 1 0 0 36 64 64 0.556517602401976
+20 0 1 0 0 36 66 64 0.740905729494127
+20 0 1 0 0 36 68 64 0.908096694269593
+20 0 1 0 0 36 70 64 1.0515748362786
+20 0 1 0 0 36 72 64 1.17697127038261
+20 0 1 0 0 36 74 64 1.30931501870758
+20 0 1 0 0 36 76 64 1.41123413232278
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 1.30096002755441
+20 0 0 0 0 36 4 64 1.04281677900672
+20 0 0 0 0 36 8 64 0.700199375766784
+20 0 0 0 0 36 12 64 0.300875425274416
+20 0 0 0 0 36 16 64 -0.122861860173874
+20 0 0 0 0 36 20 64 -0.537060442412605
+20 0 0 0 0 36 24 64 -0.911124314373433
+20 0 0 0 0 36 28 64 -1.21661125093551
+20 0 0 0 0 36 32 64 -1.38479302775957
+20 0 0 0 0 36 36 64 -1.48598781792659
+20 0 0 0 0 36 40 64 -1.44301605705426
+20 0 0 0 0 36 44 64 -1.27297851249274
+20 0 0 0 0 36 48 64 -1.00799795919863
+20 0 0 0 0 36 52 64 -0.668124786216327
+20 0 0 0 0 36 56 64 -0.267482260522979
+20 0 0 0 0 36 60 64 0.143990395662635
+20 0 0 0 0 36 64 64 0.556517602401976
+20 0 0 0 0 36 68 64 0.908096694269593
+20 0 0 0 0 36 72 64 1.17697127038261
+20 0 0 0 0 36 76 64 1.41123413232278
+20 0 0 0 0 36 80 64 1.48978916759967
+20 0 0 0 0 36 84 64 1.45447266260929
+20 0 0 0 0 36 88 64 1.30096002755441
+20 0 0 0 0 36 92 64 1.04281677900672
+20 0 0 0 0 36 96 64 0.700199375766784
+20 0 0 0 0 36 100 64 0.300875425274416
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 -1.44179325237507
+21 0 2 0 0 36 40 64 -1.4094535807635
+21 0 2 0 0 36 41 64 -1.36511761354837
+21 0 2 0 0 36 42 64 -1.31964484782346
+21 0 2 0 0 36 43 64 -1.26800544582845
+21 0 2 0 0 36 44 64 -1.20806652578661
+21 0 2 0 0 36 45 64 -1.145405898619
+21 0 2 0 0 36 46 64 -1.0736869605987
+21 0 2 0 0 36 47 64 -0.99843453824585
+21 0 2 0 0 36 48 64 -0.915618350819177
+21 0 2 0 0 36 49 64 -0.833880180344691
+21 0 2 0 0 36 50 64 -0.745587922575477
+21 0 2 0 0 36 51 64 -0.654127481812597
+21 0 2 0 0 36 52 64 -0.557264995929054
+21 0 2 0 0 36 53 64 -0.457207609633698
+21 0 2 0 0 36 54 64 -0.354426605008865
+21 0 2 0 0 36 55 64 -0.251385611855628
+21 0 2 0 0 36 56 64 -0.148837179369552
+21 0 2 0 0 36 57 64 -0.0469153184166917
+21 0 2 0 0 36 58 64 0.0568484029328694
+21 0 2 0 0 36 59 64 0.159982687457492
+21 0 2 0 0 36 60 64 0.263222513490387
+21 0 2 0 0 36 61 64 0.365280866970798
+21 0 2 0 0 36 62 64 0.463741640827469
+21 0 2 0 0 36 63 64 0.567153213512238
+21 0 2 0 0 36 64 64 0.667258382380452
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 -1.40683113022036
+22 0 2 0 0 36 40 64 -1.36629298938798
+22 0 2 0 0 36 41 64 -1.31492875320183
+22 0 2 0 0 36 42 64 -1.26196768604363
+22 0 2 0 0 36 43 64 -1.20300255647034
+22 0 2 0 0 36 44 64 -1.13617103952878
+22 0 2 0 0 36 45 64 -1.06598194152519
+22 0 2 0 0 36 46 64 -0.988868198996587
+22 0 2 0 0 36 47 64 -0.907899084952098
+22 0 2 0 0 36 48 64 -0.818709281410396
+22 0 2 0 0 36 49 64 -0.731255944495126
+22 0 2 0 0 36 50 64 -0.638365306564185
+22 0 2 0 0 36 51 64 -0.543605257229448
+22 0 2 0 0 36 52 64 -0.443431076683238
+22 0 2 0 0 36 53 64 -0.340809292670618
+22 0 2 0 0 36 54 64 -0.236412369449182
+22 0 2 0 0 36 55 64 -0.133076029130308
+22 0 2 0 0 36 56 64 -0.030330478045904
+22 0 2 0 0 36 57 64 0.0720506601862998
+22 0 2 0 0 36 58 64 0.17580813099335
+22 0 2 0 0 36 59 64 0.278296258530345
+22 0 2 0 0 36 60 64 0.380430437285222
+22 0 2 0 0 36 61 64 0.480911077267931
+22 0 2 0 0 36 62 64 0.576753674177888
+22 0 2 0 0 36 63 64 0.678110168710133
+22 0 2 0 0 36 64 64 0.773978909145191
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 -1.23112010262027
+22 0 1 0 0 36 28 64 -1.34276832685751
+22 0 1 0 0 36 30 64 -1.39399745795281
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+22 0 1 0 0 36 34 64 -1.47804148412717
+22 0 1 0 0 36 36 64 -1.47361571870585
+22 0 1 0 0 36 38 64 -1.43886446704591
+22 0 1 0 0 36 40 64 -1.36629298938798
+22 0 1 0 0 36 42 64 -1.26196768604363
+22 0 1 0 0 36 44 64 -1.13617103952878
+22 0 1 0 0 36 46 64 -0.988868198996587
+22 0 1 0 0 36 48 64 -0.818709281410396
+22 0 1 0 0 36 50 64 -0.638365306564185
+22 0 1 0 0 36 52 64 -0.443431076683238
+22 0 1 0 0 36 54 64 -0.236412369449182
+22 0 1 0 0 36 56 64 -0.030330478045904
+22 0 1 0 0 36 58 64 0.17580813099335
+22 0 1 0 0 36 60 64 0.380430437285222
+22 0 1 0 0 36 62 64 0.576753674177888
+22 0 1 0 0 36 64 64 0.773978909145191
+22 0 1 0 0 36 66 64 0.936955243084368
+22 0 1 0 0 36 68 64 1.08179664056942
+22 0 1 0 0 36 70 64 1.20301673999305
+22 0 1 0 0 36 72 64 1.30192428339595
+22 0 1 0 0 36 74 64 1.40263073644506
+22 0 1 0 0 36 76 64 1.47603955287902
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 -1.36274207675944
+23 0 2 0 0 36 40 64 -1.31442662830952
+23 0 2 0 0 36 41 64 -1.25607542774975
+23 0 2 0 0 36 42 64 -1.19620491694856
+23 0 2 0 0 36 43 64 -1.13031213284312
+23 0 2 0 0 36 44 64 -1.05736517861035
+23 0 2 0 0 36 45 64 -0.980280015015905
+23 0 2 0 0 36 46 64 -0.897927235673368
+23 0 2 0 0 36 47 64 -0.812070564555723
+23 0 2 0 0 36 48 64 -0.717733467942162
+23 0 2 0 0 36 49 64 -0.624809719273443
+23 0 2 0 0 36 50 64 -0.527441772184282
+23 0 2 0 0 36 51 64 -0.429835286472184
+23 0 2 0 0 36 52 64 -0.327083703174532
+23 0 2 0 0 36 53 64 -0.222921207879169
+23 0 2 0 0 36 54 64 -0.117921881551007
+23 0 2 0 0 36 55 64 -0.0149334669119213
+23 0 2 0 0 36 56 64 0.0878307178697586
+23 0 2 0 0 36 57 64 0.190299176562656
+23 0 2 0 0 36 58 64 0.293369421789779
+23 0 2 0 0 36 59 64 0.394758216869117
+23 0 2 0 0 36 60 64 0.495177278845729
+23 0 2 0 0 36 61 64 0.593286426111901
+23 0 2 0 0 36 62 64 0.685904112062335
+23 0 2 0 0 36 63 64 0.782671926962019
+23 0 2 0 0 36 64 64 0.87424873936909
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 -1.30907996137578
+24 0 2 0 0 36 40 64 -1.2535570490675
+24 0 2 0 0 36 41 64 -1.18906102292091
+24 0 2 0 0 36 42 64 -1.1224053283711
+24 0 2 0 0 36 43 64 -1.05002958840589
+24 0 2 0 0 36 44 64 -0.97151386650458
+24 0 2 0 0 36 45 64 -0.888409770755051
+24 0 2 0 0 36 46 64 -0.801020954145007
+24 0 2 0 0 36 47 64 -0.710811677971429
+24 0 2 0 0 36 48 64 -0.612694178706123
+24 0 2 0 0 36 49 64 -0.514896372249905
+24 0 2 0 0 36 50 64 -0.413215121605941
+24 0 2 0 0 36 51 64 -0.313059126538808
+24 0 2 0 0 36 52 64 -0.208493343838899
+24 0 2 0 0 36 53 64 -0.103912218174367
+24 0 2 0 0 36 54 64 0.000781184492157442
+24 0 2 0 0 36 55 64 0.103038422037984
+24 0 2 0 0 36 56 64 0.205645138436457
+24 0 2 0 0 36 57 64 0.307664436703873
+24 0 2 0 0 36 58 64 0.409381901734834
+24 0 2 0 0 36 59 64 0.509118447056782
+24 0 2 0 0 36 60 64 0.60704031742626
+24 0 2 0 0 36 61 64 0.70199625796892
+24 0 2 0 0 36 62 64 0.790321477015699
+24 0 2 0 0 36 63 64 0.883255591231547
+24 0 2 0 0 36 64 64 0.96887802082785
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 -1.35725063692323
+24 0 1 0 0 36 28 64 -1.43666033094671
+24 0 1 0 0 36 30 64 -1.4516840612122
+24 0 1 0 0 36 32 64 -1.46963240235381
+24 0 1 0 0 36 34 64 -1.46118090026483
+24 0 1 0 0 36 36 64 -1.42043193372544
+24 0 1 0 0 36 38 64 -1.35634758832849
+24 0 1 0 0 36 40 64 -1.2535570490675
+24 0 1 0 0 36 42 64 -1.1224053283711
+24 0 1 0 0 36 44 64 -0.97151386650458
+24 0 1 0 0 36 46 64 -0.801020954145007
+24 0 1 0 0 36 48 64 -0.612694178706123
+24 0 1 0 0 36 50 64 -0.413215121605941
+24 0 1 0 0 36 52 64 -0.208493343838899
+24 0 1 0 0 36 54 64 0.000781184492157442
+24 0 1 0 0 36 56 64 0.205645138436457
+24 0 1 0 0 36 58 64 0.409381901734834
+24 0 1 0 0 36 60 64 0.60704031742626
+24 0 1 0 0 36 62 64 0.790321477015699
+24 0 1 0 0 36 64 64 0.96887802082785
+24 0 1 0 0 36 66 64 1.10665269451662
+24 0 1 0 0 36 68 64 1.22720909282663
+24 0 1 0 0 36 70 64 1.32354936702841
+24 0 1 0 0 36 72 64 1.39312761056011
+24 0 1 0 0 36 74 64 1.46641679954508
+24 0 1 0 0 36 76 64 1.50410933954567
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 1.00675203502318
+24 0 0 0 0 36 4 64 0.654266662003768
+24 0 0 0 0 36 8 64 0.248749412863065
+24 0 0 0 0 36 12 64 -0.176849241790791
+24 0 0 0 0 36 16 64 -0.588292831986471
+24 0 0 0 0 36 20 64 -0.953466017010499
+24 0 0 0 0 36 24 64 -1.24528880402765
+24 0 0 0 0 36 28 64 -1.43666033094671
+24 0 0 0 0 36 32 64 -1.46963240235381
+24 0 0 0 0 36 36 64 -1.42043193372544
+24 0 0 0 0 36 40 64 -1.2535570490675
+24 0 0 0 0 36 44 64 -0.97151386650458
+24 0 0 0 0 36 48 64 -0.612694178706123
+24 0 0 0 0 36 52 64 -0.208493343838899
+24 0 0 0 0 36 56 64 0.205645138436457
+24 0 0 0 0 36 60 64 0.60704031742626
+24 0 0 0 0 36 64 64 0.96887802082785
+24 0 0 0 0 36 68 64 1.22720909282663
+24 0 0 0 0 36 72 64 1.39312761056011
+24 0 0 0 0 36 76 64 1.50410933954567
+24 0 0 0 0 36 80 64 1.44604788914909
+24 0 0 0 0 36 84 64 1.27939515269402
+24 0 0 0 0 36 88 64 1.00675203502318
+24 0 0 0 0 36 92 64 0.654266662003768
+24 0 0 0 0 36 96 64 0.248749412863065
+24 0 0 0 0 36 100 64 -0.176849241790791
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/psi.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/psi.zl
new file mode 100644
index 000000000..8d13c80cb
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/psi.zl
@@ -0,0 +1,1757 @@
+# SPACETIMETOY::psi z (psi)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 0.864198178492111
+0 0 2 0 0 36 48 52 0.733399381871916
+0 0 2 0 0 36 48 53 0.594565308150245
+0 0 2 0 0 36 48 54 0.449217052491691
+0 0 2 0 0 36 48 55 0.298947080801325
+0 0 2 0 0 36 48 56 0.145401782335002
+0 0 2 0 0 36 48 57 -0.00973656848586191
+0 0 2 0 0 36 48 58 -0.164768243424887
+0 0 2 0 0 36 48 59 -0.317994683008978
+0 0 2 0 0 36 48 60 -0.467737106301357
+0 0 2 0 0 36 48 61 -0.612354903976816
+0 0 2 0 0 36 48 62 -0.750263613180803
+0 0 2 0 0 36 48 63 -0.879952277236027
+0 0 2 0 0 36 48 64 -1
+0 0 2 0 0 36 48 65 -1.10909151350052
+0 0 2 0 0 36 48 66 -1.20603158828681
+0 0 2 0 0 36 48 67 -1.28975812861349
+0 0 2 0 0 36 48 68 -1.35935380898385
+0 0 2 0 0 36 48 69 -1.4140561245599
+0 0 2 0 0 36 48 70 -1.45326574532501
+0 0 2 0 0 36 48 71 -1.47655308246893
+0 0 2 0 0 36 48 72 -1.48366299505272
+0 0 2 0 0 36 48 73 -1.47451758538627
+0 0 2 0 0 36 48 74 -1.44921705249169
+0 0 2 0 0 36 48 75 -1.40803859430185
+0 0 2 0 0 36 48 76 -1.35143337062181
+0 0 2 0 0 36 48 77 -1.28002156012763
+0 0 2 0 0 36 48 78 -1.19458556555896
+0 0 2 0 0 36 48 79 -1.09606144155092
+0 0 2 0 0 36 48 80 -0.985528639023655
+0 0 2 0 0 36 48 81 -0.864198178492115
+0 0 2 0 0 36 48 82 -0.73339938187192
+0 0 2 0 0 36 48 83 -0.59456530815025
+0 0 2 0 0 36 48 84 -0.449217052491695
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 1
+0 0 1 0 0 36 48 36 1.20603158828681
+0 0 1 0 0 36 48 38 1.35935380898385
+0 0 1 0 0 36 48 40 1.45326574532501
+0 0 1 0 0 36 48 42 1.48366299505272
+0 0 1 0 0 36 48 44 1.44921705249169
+0 0 1 0 0 36 48 46 1.35143337062181
+0 0 1 0 0 36 48 48 1.19458556555896
+0 0 1 0 0 36 48 50 0.985528639023651
+0 0 1 0 0 36 48 52 0.733399381871916
+0 0 1 0 0 36 48 54 0.449217052491691
+0 0 1 0 0 36 48 56 0.145401782335002
+0 0 1 0 0 36 48 58 -0.164768243424887
+0 0 1 0 0 36 48 60 -0.467737106301357
+0 0 1 0 0 36 48 62 -0.750263613180803
+0 0 1 0 0 36 48 64 -1
+0 0 1 0 0 36 48 66 -1.20603158828681
+0 0 1 0 0 36 48 68 -1.35935380898385
+0 0 1 0 0 36 48 70 -1.45326574532501
+0 0 1 0 0 36 48 72 -1.48366299505272
+0 0 1 0 0 36 48 74 -1.44921705249169
+0 0 1 0 0 36 48 76 -1.35143337062181
+0 0 1 0 0 36 48 78 -1.19458556555896
+0 0 1 0 0 36 48 80 -0.985528639023655
+0 0 1 0 0 36 48 82 -0.73339938187192
+0 0 1 0 0 36 48 84 -0.449217052491695
+0 0 1 0 0 36 48 86 -0.145401782335008
+0 0 1 0 0 36 48 88 0.164768243424882
+0 0 1 0 0 36 48 90 0.467737106301352
+0 0 1 0 0 36 48 92 0.750263613180799
+0 0 1 0 0 36 48 94 0.999999999999996
+0 0 1 0 0 36 48 96 1.20603158828681
+0 0 1 0 0 36 48 98 1.35935380898384
+0 0 1 0 0 36 48 100 1.45326574532501
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 -0.467737106301367
+0 0 0 0 0 36 48 4 -1.00000000000001
+0 0 0 0 0 36 48 8 -1.35935380898385
+0 0 0 0 0 36 48 12 -1.48366299505272
+0 0 0 0 0 36 48 16 -1.35143337062181
+0 0 0 0 0 36 48 20 -0.985528639023647
+0 0 0 0 0 36 48 24 -0.449217052491685
+0 0 0 0 0 36 48 28 0.164768243424893
+0 0 0 0 0 36 48 32 0.750263613180807
+0 0 0 0 0 36 48 36 1.20603158828681
+0 0 0 0 0 36 48 40 1.45326574532501
+0 0 0 0 0 36 48 44 1.44921705249169
+0 0 0 0 0 36 48 48 1.19458556555896
+0 0 0 0 0 36 48 52 0.733399381871916
+0 0 0 0 0 36 48 56 0.145401782335002
+0 0 0 0 0 36 48 60 -0.467737106301357
+0 0 0 0 0 36 48 64 -1
+0 0 0 0 0 36 48 68 -1.35935380898385
+0 0 0 0 0 36 48 72 -1.48366299505272
+0 0 0 0 0 36 48 76 -1.35143337062181
+0 0 0 0 0 36 48 80 -0.985528639023655
+0 0 0 0 0 36 48 84 -0.449217052491695
+0 0 0 0 0 36 48 88 0.164768243424882
+0 0 0 0 0 36 48 92 0.750263613180799
+0 0 0 0 0 36 48 96 1.20603158828681
+0 0 0 0 0 36 48 100 1.45326574532501
+0 0 0 0 0 36 48 104 1.44921705249169
+0 0 0 0 0 36 48 108 1.19458556555896
+0 0 0 0 0 36 48 112 0.733399381871925
+0 0 0 0 0 36 48 116 0.145401782335012
+0 0 0 0 0 36 48 120 -0.467737106301347
+0 0 0 0 0 36 48 124 -0.999999999999993
+0 0 0 0 0 36 48 128 -1.35935380898384
+0 0 0 0 0 36 48 132 -1.48366299505272
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 0.762750878812442
+1 0 2 0 0 36 48 52 0.62560397154067
+1 0 2 0 0 36 48 53 0.480307179108778
+1 0 2 0 0 36 48 54 0.331684307837008
+1 0 2 0 0 36 48 55 0.178709849855843
+1 0 2 0 0 36 48 56 0.0237774093622155
+1 0 2 0 0 36 48 57 -0.13141554140413
+1 0 2 0 0 36 48 58 -0.285168675998376
+1 0 2 0 0 36 48 59 -0.435797442903006
+1 0 2 0 0 36 48 60 -0.581651521826712
+1 0 2 0 0 36 48 61 -0.721132904958881
+1 0 2 0 0 36 48 62 -0.852713405077554
+1 0 2 0 0 36 48 63 -0.974951398688447
+1 0 2 0 0 36 48 64 -1.08650762075361
+1 0 2 0 0 36 48 65 -1.18615983795947
+1 0 2 0 0 36 48 66 -1.27281623976073
+1 0 2 0 0 36 48 67 -1.34552740048526
+1 0 2 0 0 36 48 68 -1.40349668144036
+1 0 2 0 0 36 48 69 -1.44608895905303
+1 0 2 0 0 36 48 70 -1.47283758341675
+1 0 2 0 0 36 48 71 -1.48344949100548
+1 0 2 0 0 36 48 72 -1.47780841553899
+1 0 2 0 0 36 48 73 -1.45597616182056
+1 0 2 0 0 36 48 74 -1.41819192859063
+1 0 2 0 0 36 48 75 -1.36486968781531
+1 0 2 0 0 36 48 76 -1.29659364912295
+1 0 2 0 0 36 48 77 -1.21411185908113
+1 0 2 0 0 36 48 78 -1.11832800544198
+1 0 2 0 0 36 48 79 -1.01029151615003
+1 0 2 0 0 36 48 80 -0.891186061590041
+1 0 2 0 0 36 48 81 -0.762316586046604
+1 0 2 0 0 36 48 82 -0.624684642942522
+1 0 2 0 0 36 48 83 -0.481546904632346
+1 0 2 0 0 36 48 84 -0.332256947910682
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 0.655646353618631
+2 0 2 0 0 36 48 52 0.513013085656583
+2 0 2 0 0 36 48 53 0.363485332771893
+2 0 2 0 0 36 48 54 0.211603335987471
+2 0 2 0 0 36 48 55 0.0572425365131077
+2 0 2 0 0 36 48 56 -0.098010350488828
+2 0 2 0 0 36 48 57 -0.252212080301364
+2 0 2 0 0 36 48 58 -0.403650521783345
+2 0 2 0 0 36 48 59 -0.550666483679364
+2 0 2 0 0 36 48 60 -0.691649228345828
+2 0 2 0 0 36 48 61 -0.825054119329622
+2 0 2 0 0 36 48 62 -0.949419544728372
+2 0 2 0 0 36 48 63 -1.06338293091626
+2 0 2 0 0 36 48 64 -1.16569567118585
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+2 0 2 0 0 36 48 66 -1.33102530318407
+2 0 2 0 0 36 48 67 -1.39223080886709
+2 0 2 0 0 36 48 68 -1.43818274246513
+2 0 2 0 0 36 48 69 -1.46837764497763
+2 0 2 0 0 36 48 70 -1.48248469473398
+2 0 2 0 0 36 48 71 -1.48034933194496
+2 0 2 0 0 36 48 72 -1.46199495209214
+2 0 2 0 0 36 48 73 -1.42762264960208
+2 0 2 0 0 36 48 74 -1.37760901461374
+2 0 2 0 0 36 48 75 -1.31250200697807
+2 0 2 0 0 36 48 76 -1.23301495269525
+2 0 2 0 0 36 48 77 -1.14001872856573
+2 0 2 0 0 36 48 78 -1.03453222068178
+2 0 2 0 0 36 48 79 -0.917711161298266
+2 0 2 0 0 36 48 80 -0.790818677910585
+2 0 2 0 0 36 48 81 -0.654983814888817
+2 0 2 0 0 36 48 82 -0.512637694223253
+2 0 2 0 0 36 48 83 -0.364713289860966
+2 0 2 0 0 36 48 84 -0.212450215637132
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 1.16071082642865
+2 0 1 0 0 36 48 36 1.32764409031157
+2 0 1 0 0 36 48 38 1.43544904411285
+2 0 1 0 0 36 48 40 1.4821224487853
+2 0 1 0 0 36 48 42 1.46176077488367
+2 0 1 0 0 36 48 44 1.3775131408132
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+2 0 1 0 0 36 48 50 0.791154822122939
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+2 0 1 0 0 36 48 84 -0.212450215637132
+2 0 1 0 0 36 48 86 0.0973977482549033
+2 0 1 0 0 36 48 88 0.402988963181953
+2 0 1 0 0 36 48 90 0.69096762666236
+2 0 1 0 0 36 48 92 0.948747689227083
+2 0 1 0 0 36 48 94 1.16506292517607
+2 0 1 0 0 36 48 96 1.32641996219601
+2 0 1 0 0 36 48 98 1.43470609134467
+2 0 1 0 0 36 48 100 1.48106174791272
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 0.544785905675675
+3 0 2 0 0 36 48 52 0.397538688496456
+3 0 2 0 0 36 48 53 0.24473026270503
+3 0 2 0 0 36 48 54 0.090043478466073
+3 0 2 0 0 36 48 55 -0.0647284445985926
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+3 0 2 0 0 36 48 62 -1.03973019453316
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+3 0 2 0 0 36 48 70 -1.48214181118724
+3 0 2 0 0 36 48 71 -1.46727323732106
+3 0 2 0 0 36 48 72 -1.43632891082012
+3 0 2 0 0 36 48 73 -1.3896478642011
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+3 0 2 0 0 36 48 75 -1.25128821114527
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+3 0 2 0 0 36 48 79 -0.818942409688493
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+3 0 2 0 0 36 48 83 -0.246051669359948
+3 0 2 0 0 36 48 84 -0.0917901535968306
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 0.429416963983529
+4 0 2 0 0 36 48 52 0.278543458634689
+4 0 2 0 0 36 48 53 0.124847196608697
+4 0 2 0 0 36 48 54 -0.0319416856059509
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+4 0 2 0 0 36 48 67 -1.4572433919475
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+4 0 2 0 0 36 48 71 -1.44430906604174
+4 0 2 0 0 36 48 72 -1.40098299564188
+4 0 2 0 0 36 48 73 -1.34230746236723
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+4 0 2 0 0 36 48 75 -1.18164058148143
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+4 0 2 0 0 36 48 79 -0.714626505110787
+4 0 2 0 0 36 48 80 -0.574499450989376
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+4 0 2 0 0 36 48 82 -0.280388600964408
+4 0 2 0 0 36 48 83 -0.125271033572095
+4 0 2 0 0 36 48 84 0.0303876708521512
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 1.29400356281249
+4 0 1 0 0 36 48 36 1.41576997415218
+4 0 1 0 0 36 48 38 1.46757572610861
+4 0 1 0 0 36 48 40 1.47119217369528
+4 0 1 0 0 36 48 42 1.40086294281057
+4 0 1 0 0 36 48 44 1.26896120942546
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+4 0 1 0 0 36 48 84 0.0303876708521512
+4 0 1 0 0 36 48 86 0.33764973894251
+4 0 1 0 0 36 48 88 0.630473483331011
+4 0 1 0 0 36 48 90 0.895758613666024
+4 0 1 0 0 36 48 92 1.12191666852376
+4 0 1 0 0 36 48 94 1.29863887647478
+4 0 1 0 0 36 48 96 1.40717184719316
+4 0 1 0 0 36 48 98 1.47369100940358
+4 0 1 0 0 36 48 100 1.46925614152498
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 -0.891204856688904
+4 0 0 0 0 36 48 4 -1.29492434916456
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+4 0 0 0 0 36 48 44 1.26896120942546
+4 0 0 0 0 36 48 48 0.847156789151556
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+4 0 0 0 0 36 48 92 1.12191666852376
+4 0 0 0 0 36 48 96 1.40717184719316
+4 0 0 0 0 36 48 100 1.46925614152498
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+4 0 0 0 0 36 48 120 -0.891204856688904
+4 0 0 0 0 36 48 124 -1.29492434916456
+4 0 0 0 0 36 48 128 -1.47473965765126
+4 0 0 0 0 36 48 132 -1.39955908174087
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 0.311874011286573
+5 0 2 0 0 36 48 52 0.158280894983454
+5 0 2 0 0 36 48 53 0.00406695143333958
+5 0 2 0 0 36 48 54 -0.153166729761923
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+5 0 2 0 0 36 48 61 -1.10086427850605
+5 0 2 0 0 36 48 62 -1.1987771541522
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+5 0 2 0 0 36 48 74 -1.2015564686325
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+5 0 2 0 0 36 48 80 -0.460066381830473
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+5 0 2 0 0 36 48 83 -0.00501762380323937
+5 0 2 0 0 36 48 84 0.151552565241838
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 0.191250055137335
+6 0 2 0 0 36 48 52 0.0359998312386941
+6 0 2 0 0 36 48 53 -0.116961219602787
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+6 0 2 0 0 36 48 76 -0.900695440363868
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+6 0 2 0 0 36 48 83 0.116756788497464
+6 0 2 0 0 36 48 84 0.272548093728221
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 1.39196100497481
+6 0 1 0 0 36 48 36 1.46701342517283
+6 0 1 0 0 36 48 38 1.45726200573186
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+6 0 1 0 0 36 48 42 1.30260143605122
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+6 0 1 0 0 36 48 84 0.272548093728221
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+6 0 1 0 0 36 48 90 1.07661734772238
+6 0 1 0 0 36 48 92 1.26503346459907
+6 0 1 0 0 36 48 94 1.39550652373391
+6 0 1 0 0 36 48 96 1.45018078906352
+6 0 1 0 0 36 48 98 1.4685119295188
+6 0 1 0 0 36 48 100 1.42161821147885
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 0.0700960636789542
+7 0 2 0 0 36 48 52 -0.0857277270363217
+7 0 2 0 0 36 48 53 -0.237656385578769
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+7 0 2 0 0 36 48 76 -0.800914071864915
+7 0 2 0 0 36 48 77 -0.665992272981559
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+7 0 2 0 0 36 48 81 -0.071297463779474
+7 0 2 0 0 36 48 82 0.0798539862540086
+7 0 2 0 0 36 48 83 0.236271124143399
+7 0 2 0 0 36 48 84 0.39086144123937
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 -0.0524243194845925
+8 0 2 0 0 36 48 52 -0.20775911502935
+8 0 2 0 0 36 48 53 -0.356977712869342
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+8 0 2 0 0 36 48 72 -1.16849868950579
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+8 0 2 0 0 36 48 82 0.200131036380407
+8 0 2 0 0 36 48 83 0.355895331547773
+8 0 2 0 0 36 48 84 0.507330212799261
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 1.45722720050537
+8 0 1 0 0 36 48 36 1.48250638158547
+8 0 1 0 0 36 48 38 1.41023953773215
+8 0 1 0 0 36 48 40 1.32502656802713
+8 0 1 0 0 36 48 42 1.1690506423883
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+8 0 1 0 0 36 48 86 0.785194037005732
+8 0 1 0 0 36 48 88 1.02940097149185
+8 0 1 0 0 36 48 90 1.22867064513074
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+8 0 1 0 0 36 48 96 1.45681199154085
+8 0 1 0 0 36 48 98 1.43167246627363
+8 0 1 0 0 36 48 100 1.33689152933532
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 -1.22250389615375
+8 0 0 0 0 36 48 4 -1.45563790907232
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+8 0 0 0 0 36 48 88 1.02940097149185
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+8 0 0 0 0 36 48 100 1.33689152933532
+8 0 0 0 0 36 48 104 0.956456780351886
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+8 0 0 0 0 36 48 128 -1.43707890345701
+8 0 0 0 0 36 48 132 -1.17003589998202
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 -0.173768188028341
+9 0 2 0 0 36 48 52 -0.327435083544055
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+9 0 2 0 0 36 48 83 0.471720179946803
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+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 -0.294705159775752
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+10 0 2 0 0 36 48 83 0.585998334660306
+10 0 2 0 0 36 48 84 0.728504070314273
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 1.48267010018848
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+10 0 1 0 0 36 48 84 0.728504070314273
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+10 0 1 0 0 36 48 98 1.3518674825876
+10 0 1 0 0 36 48 100 1.21856424111957
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 -0.412826779987064
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+11 0 2 0 0 36 48 79 0.10592686632752
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+11 0 2 0 0 36 48 82 0.550292480876022
+11 0 2 0 0 36 48 83 0.694714650216471
+11 0 2 0 0 36 48 84 0.831803509499685
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 -0.528937889937313
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+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 1.47035809931487
+12 0 1 0 0 36 48 36 1.39544718765798
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+12 0 1 0 0 36 48 98 1.2428632692946
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+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 -1.42713883695848
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+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 -0.748959477808426
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+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 1.4191098102657
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+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 -0.948846179301951
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+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 1.32810921604162
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+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+18 0 2 0 0 36 48 83 1.29663874234924
+18 0 2 0 0 36 48 84 1.36856343399451
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 1.20356476095118
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+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 -1.19846850584864
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+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 -1.26623167650891
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+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 1.04290212894467
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+20 0 1 0 0 36 48 98 0.520587293553809
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+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 -1.38627581505884
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+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 -1.32497918792526
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+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 -1.37494614511085
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+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 0.858361990914165
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+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+24 0 1 0 0 36 48 88 1.28779594911539
+24 0 1 0 0 36 48 90 1.10335473833195
+24 0 1 0 0 36 48 92 0.886517971907197
+24 0 1 0 0 36 48 94 0.636587712577036
+24 0 1 0 0 36 48 96 0.360826096686905
+24 0 1 0 0 36 48 98 0.0554214527680829
+24 0 1 0 0 36 48 100 -0.257621956436152
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 -1.14473660808224
+24 0 0 0 0 36 48 4 -0.654195651153438
+24 0 0 0 0 36 48 8 -0.0505484670752356
+24 0 0 0 0 36 48 12 0.561839530757814
+24 0 0 0 0 36 48 16 1.07707329056428
+24 0 0 0 0 36 48 20 1.40609696920703
+24 0 0 0 0 36 48 24 1.49237145410469
+24 0 0 0 0 36 48 28 1.32253983687916
+24 0 0 0 0 36 48 32 0.920779300089253
+24 0 0 0 0 36 48 36 0.344038614816883
+24 0 0 0 0 36 48 40 -0.278675233584053
+24 0 0 0 0 36 48 44 -0.877406389063958
+24 0 0 0 0 36 48 48 -1.28435296029477
+24 0 0 0 0 36 48 52 -1.47184746314432
+24 0 0 0 0 36 48 56 -1.40398953625509
+24 0 0 0 0 36 48 60 -1.10095618932998
+24 0 0 0 0 36 48 64 -0.612694178706123
+24 0 0 0 0 36 48 68 -0.0136024379247589
+24 0 0 0 0 36 48 72 0.58715106872459
+24 0 0 0 0 36 48 76 1.08060812681772
+24 0 0 0 0 36 48 80 1.39783454093894
+24 0 0 0 0 36 48 84 1.48017669615295
+24 0 0 0 0 36 48 88 1.28779594911539
+24 0 0 0 0 36 48 92 0.886517971907197
+24 0 0 0 0 36 48 96 0.360826096686905
+24 0 0 0 0 36 48 100 -0.257621956436152
+24 0 0 0 0 36 48 104 -0.835854796396588
+24 0 0 0 0 36 48 108 -1.26566961678065
+24 0 0 0 0 36 48 112 -1.48117187817158
+24 0 0 0 0 36 48 116 -1.4372041914567
+24 0 0 0 0 36 48 120 -1.14473660808224
+24 0 0 0 0 36 48 124 -0.654195651153438
+24 0 0 0 0 36 48 128 -0.0505484670752356
+24 0 0 0 0 36 48 132 0.561839530757814
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/spher3d_r.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/spher3d_r.xl
new file mode 100644
index 000000000..c3584db3f
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/spher3d_r.xl
@@ -0,0 +1,1082 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 1.35
+0 0 2 0 0 28 48 64 1.2
+0 0 2 0 0 29 48 64 1.05
+0 0 2 0 0 30 48 64 0.9
+0 0 2 0 0 31 48 64 0.75
+0 0 2 0 0 32 48 64 0.6
+0 0 2 0 0 33 48 64 0.45
+0 0 2 0 0 34 48 64 0.3
+0 0 2 0 0 35 48 64 0.15
+0 0 2 0 0 36 48 64 6.2803698347351e-16
+0 0 2 0 0 37 48 64 0.15
+0 0 2 0 0 38 48 64 0.3
+0 0 2 0 0 39 48 64 0.450000000000001
+0 0 2 0 0 40 48 64 0.600000000000001
+0 0 2 0 0 41 48 64 0.750000000000001
+0 0 2 0 0 42 48 64 0.900000000000001
+0 0 2 0 0 43 48 64 1.05
+0 0 2 0 0 44 48 64 1.2
+0 0 2 0 0 45 48 64 1.35
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 2.7
+0 0 1 0 0 20 48 64 2.4
+0 0 1 0 0 22 48 64 2.1
+0 0 1 0 0 24 48 64 1.8
+0 0 1 0 0 26 48 64 1.5
+0 0 1 0 0 28 48 64 1.2
+0 0 1 0 0 30 48 64 0.9
+0 0 1 0 0 32 48 64 0.6
+0 0 1 0 0 34 48 64 0.3
+0 0 1 0 0 36 48 64 6.2803698347351e-16
+0 0 1 0 0 38 48 64 0.3
+0 0 1 0 0 40 48 64 0.600000000000001
+0 0 1 0 0 42 48 64 0.900000000000001
+0 0 1 0 0 44 48 64 1.2
+0 0 1 0 0 46 48 64 1.5
+0 0 1 0 0 48 48 64 1.8
+0 0 1 0 0 50 48 64 2.1
+0 0 1 0 0 52 48 64 2.4
+0 0 1 0 0 54 48 64 2.7
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 5.4
+0 0 0 0 0 4 48 64 4.8
+0 0 0 0 0 8 48 64 4.2
+0 0 0 0 0 12 48 64 3.6
+0 0 0 0 0 16 48 64 3
+0 0 0 0 0 20 48 64 2.4
+0 0 0 0 0 24 48 64 1.8
+0 0 0 0 0 28 48 64 1.2
+0 0 0 0 0 32 48 64 0.6
+0 0 0 0 0 36 48 64 6.2803698347351e-16
+0 0 0 0 0 40 48 64 0.600000000000001
+0 0 0 0 0 44 48 64 1.2
+0 0 0 0 0 48 48 64 1.8
+0 0 0 0 0 52 48 64 2.4
+0 0 0 0 0 56 48 64 3
+0 0 0 0 0 60 48 64 3.6
+0 0 0 0 0 64 48 64 4.2
+0 0 0 0 0 68 48 64 4.8
+0 0 0 0 0 72 48 64 5.4
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 1.35
+1 0 2 0 0 28 48 64 1.2
+1 0 2 0 0 29 48 64 1.05
+1 0 2 0 0 30 48 64 0.9
+1 0 2 0 0 31 48 64 0.75
+1 0 2 0 0 32 48 64 0.6
+1 0 2 0 0 33 48 64 0.45
+1 0 2 0 0 34 48 64 0.3
+1 0 2 0 0 35 48 64 0.15
+1 0 2 0 0 36 48 64 6.2803698347351e-16
+1 0 2 0 0 37 48 64 0.15
+1 0 2 0 0 38 48 64 0.3
+1 0 2 0 0 39 48 64 0.450000000000001
+1 0 2 0 0 40 48 64 0.600000000000001
+1 0 2 0 0 41 48 64 0.750000000000001
+1 0 2 0 0 42 48 64 0.900000000000001
+1 0 2 0 0 43 48 64 1.05
+1 0 2 0 0 44 48 64 1.2
+1 0 2 0 0 45 48 64 1.35
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 1.35
+2 0 2 0 0 28 48 64 1.2
+2 0 2 0 0 29 48 64 1.05
+2 0 2 0 0 30 48 64 0.9
+2 0 2 0 0 31 48 64 0.75
+2 0 2 0 0 32 48 64 0.6
+2 0 2 0 0 33 48 64 0.45
+2 0 2 0 0 34 48 64 0.3
+2 0 2 0 0 35 48 64 0.15
+2 0 2 0 0 36 48 64 6.2803698347351e-16
+2 0 2 0 0 37 48 64 0.15
+2 0 2 0 0 38 48 64 0.3
+2 0 2 0 0 39 48 64 0.450000000000001
+2 0 2 0 0 40 48 64 0.600000000000001
+2 0 2 0 0 41 48 64 0.750000000000001
+2 0 2 0 0 42 48 64 0.900000000000001
+2 0 2 0 0 43 48 64 1.05
+2 0 2 0 0 44 48 64 1.2
+2 0 2 0 0 45 48 64 1.35
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 2.7
+2 0 1 0 0 20 48 64 2.4
+2 0 1 0 0 22 48 64 2.1
+2 0 1 0 0 24 48 64 1.8
+2 0 1 0 0 26 48 64 1.5
+2 0 1 0 0 28 48 64 1.2
+2 0 1 0 0 30 48 64 0.9
+2 0 1 0 0 32 48 64 0.6
+2 0 1 0 0 34 48 64 0.3
+2 0 1 0 0 36 48 64 6.2803698347351e-16
+2 0 1 0 0 38 48 64 0.3
+2 0 1 0 0 40 48 64 0.600000000000001
+2 0 1 0 0 42 48 64 0.900000000000001
+2 0 1 0 0 44 48 64 1.2
+2 0 1 0 0 46 48 64 1.5
+2 0 1 0 0 48 48 64 1.8
+2 0 1 0 0 50 48 64 2.1
+2 0 1 0 0 52 48 64 2.4
+2 0 1 0 0 54 48 64 2.7
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 1.35
+3 0 2 0 0 28 48 64 1.2
+3 0 2 0 0 29 48 64 1.05
+3 0 2 0 0 30 48 64 0.9
+3 0 2 0 0 31 48 64 0.75
+3 0 2 0 0 32 48 64 0.6
+3 0 2 0 0 33 48 64 0.45
+3 0 2 0 0 34 48 64 0.3
+3 0 2 0 0 35 48 64 0.15
+3 0 2 0 0 36 48 64 6.2803698347351e-16
+3 0 2 0 0 37 48 64 0.15
+3 0 2 0 0 38 48 64 0.3
+3 0 2 0 0 39 48 64 0.450000000000001
+3 0 2 0 0 40 48 64 0.600000000000001
+3 0 2 0 0 41 48 64 0.750000000000001
+3 0 2 0 0 42 48 64 0.900000000000001
+3 0 2 0 0 43 48 64 1.05
+3 0 2 0 0 44 48 64 1.2
+3 0 2 0 0 45 48 64 1.35
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 1.35
+4 0 2 0 0 28 48 64 1.2
+4 0 2 0 0 29 48 64 1.05
+4 0 2 0 0 30 48 64 0.9
+4 0 2 0 0 31 48 64 0.75
+4 0 2 0 0 32 48 64 0.6
+4 0 2 0 0 33 48 64 0.45
+4 0 2 0 0 34 48 64 0.3
+4 0 2 0 0 35 48 64 0.15
+4 0 2 0 0 36 48 64 6.2803698347351e-16
+4 0 2 0 0 37 48 64 0.15
+4 0 2 0 0 38 48 64 0.3
+4 0 2 0 0 39 48 64 0.450000000000001
+4 0 2 0 0 40 48 64 0.600000000000001
+4 0 2 0 0 41 48 64 0.750000000000001
+4 0 2 0 0 42 48 64 0.900000000000001
+4 0 2 0 0 43 48 64 1.05
+4 0 2 0 0 44 48 64 1.2
+4 0 2 0 0 45 48 64 1.35
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 2.7
+4 0 1 0 0 20 48 64 2.4
+4 0 1 0 0 22 48 64 2.1
+4 0 1 0 0 24 48 64 1.8
+4 0 1 0 0 26 48 64 1.5
+4 0 1 0 0 28 48 64 1.2
+4 0 1 0 0 30 48 64 0.9
+4 0 1 0 0 32 48 64 0.6
+4 0 1 0 0 34 48 64 0.3
+4 0 1 0 0 36 48 64 6.2803698347351e-16
+4 0 1 0 0 38 48 64 0.3
+4 0 1 0 0 40 48 64 0.600000000000001
+4 0 1 0 0 42 48 64 0.900000000000001
+4 0 1 0 0 44 48 64 1.2
+4 0 1 0 0 46 48 64 1.5
+4 0 1 0 0 48 48 64 1.8
+4 0 1 0 0 50 48 64 2.1
+4 0 1 0 0 52 48 64 2.4
+4 0 1 0 0 54 48 64 2.7
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 5.4
+4 0 0 0 0 4 48 64 4.8
+4 0 0 0 0 8 48 64 4.2
+4 0 0 0 0 12 48 64 3.6
+4 0 0 0 0 16 48 64 3
+4 0 0 0 0 20 48 64 2.4
+4 0 0 0 0 24 48 64 1.8
+4 0 0 0 0 28 48 64 1.2
+4 0 0 0 0 32 48 64 0.6
+4 0 0 0 0 36 48 64 6.2803698347351e-16
+4 0 0 0 0 40 48 64 0.600000000000001
+4 0 0 0 0 44 48 64 1.2
+4 0 0 0 0 48 48 64 1.8
+4 0 0 0 0 52 48 64 2.4
+4 0 0 0 0 56 48 64 3
+4 0 0 0 0 60 48 64 3.6
+4 0 0 0 0 64 48 64 4.2
+4 0 0 0 0 68 48 64 4.8
+4 0 0 0 0 72 48 64 5.4
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 1.35
+5 0 2 0 0 28 48 64 1.2
+5 0 2 0 0 29 48 64 1.05
+5 0 2 0 0 30 48 64 0.9
+5 0 2 0 0 31 48 64 0.75
+5 0 2 0 0 32 48 64 0.6
+5 0 2 0 0 33 48 64 0.45
+5 0 2 0 0 34 48 64 0.3
+5 0 2 0 0 35 48 64 0.15
+5 0 2 0 0 36 48 64 6.2803698347351e-16
+5 0 2 0 0 37 48 64 0.15
+5 0 2 0 0 38 48 64 0.3
+5 0 2 0 0 39 48 64 0.450000000000001
+5 0 2 0 0 40 48 64 0.600000000000001
+5 0 2 0 0 41 48 64 0.750000000000001
+5 0 2 0 0 42 48 64 0.900000000000001
+5 0 2 0 0 43 48 64 1.05
+5 0 2 0 0 44 48 64 1.2
+5 0 2 0 0 45 48 64 1.35
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 1.35
+6 0 2 0 0 28 48 64 1.2
+6 0 2 0 0 29 48 64 1.05
+6 0 2 0 0 30 48 64 0.9
+6 0 2 0 0 31 48 64 0.75
+6 0 2 0 0 32 48 64 0.6
+6 0 2 0 0 33 48 64 0.45
+6 0 2 0 0 34 48 64 0.3
+6 0 2 0 0 35 48 64 0.15
+6 0 2 0 0 36 48 64 6.2803698347351e-16
+6 0 2 0 0 37 48 64 0.15
+6 0 2 0 0 38 48 64 0.3
+6 0 2 0 0 39 48 64 0.450000000000001
+6 0 2 0 0 40 48 64 0.600000000000001
+6 0 2 0 0 41 48 64 0.750000000000001
+6 0 2 0 0 42 48 64 0.900000000000001
+6 0 2 0 0 43 48 64 1.05
+6 0 2 0 0 44 48 64 1.2
+6 0 2 0 0 45 48 64 1.35
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 2.7
+6 0 1 0 0 20 48 64 2.4
+6 0 1 0 0 22 48 64 2.1
+6 0 1 0 0 24 48 64 1.8
+6 0 1 0 0 26 48 64 1.5
+6 0 1 0 0 28 48 64 1.2
+6 0 1 0 0 30 48 64 0.9
+6 0 1 0 0 32 48 64 0.6
+6 0 1 0 0 34 48 64 0.3
+6 0 1 0 0 36 48 64 6.2803698347351e-16
+6 0 1 0 0 38 48 64 0.3
+6 0 1 0 0 40 48 64 0.600000000000001
+6 0 1 0 0 42 48 64 0.900000000000001
+6 0 1 0 0 44 48 64 1.2
+6 0 1 0 0 46 48 64 1.5
+6 0 1 0 0 48 48 64 1.8
+6 0 1 0 0 50 48 64 2.1
+6 0 1 0 0 52 48 64 2.4
+6 0 1 0 0 54 48 64 2.7
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 1.35
+7 0 2 0 0 28 48 64 1.2
+7 0 2 0 0 29 48 64 1.05
+7 0 2 0 0 30 48 64 0.9
+7 0 2 0 0 31 48 64 0.75
+7 0 2 0 0 32 48 64 0.6
+7 0 2 0 0 33 48 64 0.45
+7 0 2 0 0 34 48 64 0.3
+7 0 2 0 0 35 48 64 0.15
+7 0 2 0 0 36 48 64 6.2803698347351e-16
+7 0 2 0 0 37 48 64 0.15
+7 0 2 0 0 38 48 64 0.3
+7 0 2 0 0 39 48 64 0.450000000000001
+7 0 2 0 0 40 48 64 0.600000000000001
+7 0 2 0 0 41 48 64 0.750000000000001
+7 0 2 0 0 42 48 64 0.900000000000001
+7 0 2 0 0 43 48 64 1.05
+7 0 2 0 0 44 48 64 1.2
+7 0 2 0 0 45 48 64 1.35
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 1.35
+8 0 2 0 0 28 48 64 1.2
+8 0 2 0 0 29 48 64 1.05
+8 0 2 0 0 30 48 64 0.9
+8 0 2 0 0 31 48 64 0.75
+8 0 2 0 0 32 48 64 0.6
+8 0 2 0 0 33 48 64 0.45
+8 0 2 0 0 34 48 64 0.3
+8 0 2 0 0 35 48 64 0.15
+8 0 2 0 0 36 48 64 6.2803698347351e-16
+8 0 2 0 0 37 48 64 0.15
+8 0 2 0 0 38 48 64 0.3
+8 0 2 0 0 39 48 64 0.450000000000001
+8 0 2 0 0 40 48 64 0.600000000000001
+8 0 2 0 0 41 48 64 0.750000000000001
+8 0 2 0 0 42 48 64 0.900000000000001
+8 0 2 0 0 43 48 64 1.05
+8 0 2 0 0 44 48 64 1.2
+8 0 2 0 0 45 48 64 1.35
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 2.7
+8 0 1 0 0 20 48 64 2.4
+8 0 1 0 0 22 48 64 2.1
+8 0 1 0 0 24 48 64 1.8
+8 0 1 0 0 26 48 64 1.5
+8 0 1 0 0 28 48 64 1.2
+8 0 1 0 0 30 48 64 0.9
+8 0 1 0 0 32 48 64 0.6
+8 0 1 0 0 34 48 64 0.3
+8 0 1 0 0 36 48 64 6.2803698347351e-16
+8 0 1 0 0 38 48 64 0.3
+8 0 1 0 0 40 48 64 0.600000000000001
+8 0 1 0 0 42 48 64 0.900000000000001
+8 0 1 0 0 44 48 64 1.2
+8 0 1 0 0 46 48 64 1.5
+8 0 1 0 0 48 48 64 1.8
+8 0 1 0 0 50 48 64 2.1
+8 0 1 0 0 52 48 64 2.4
+8 0 1 0 0 54 48 64 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 5.4
+8 0 0 0 0 4 48 64 4.8
+8 0 0 0 0 8 48 64 4.2
+8 0 0 0 0 12 48 64 3.6
+8 0 0 0 0 16 48 64 3
+8 0 0 0 0 20 48 64 2.4
+8 0 0 0 0 24 48 64 1.8
+8 0 0 0 0 28 48 64 1.2
+8 0 0 0 0 32 48 64 0.6
+8 0 0 0 0 36 48 64 6.2803698347351e-16
+8 0 0 0 0 40 48 64 0.600000000000001
+8 0 0 0 0 44 48 64 1.2
+8 0 0 0 0 48 48 64 1.8
+8 0 0 0 0 52 48 64 2.4
+8 0 0 0 0 56 48 64 3
+8 0 0 0 0 60 48 64 3.6
+8 0 0 0 0 64 48 64 4.2
+8 0 0 0 0 68 48 64 4.8
+8 0 0 0 0 72 48 64 5.4
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 1.35
+9 0 2 0 0 28 48 64 1.2
+9 0 2 0 0 29 48 64 1.05
+9 0 2 0 0 30 48 64 0.9
+9 0 2 0 0 31 48 64 0.75
+9 0 2 0 0 32 48 64 0.6
+9 0 2 0 0 33 48 64 0.45
+9 0 2 0 0 34 48 64 0.3
+9 0 2 0 0 35 48 64 0.15
+9 0 2 0 0 36 48 64 6.2803698347351e-16
+9 0 2 0 0 37 48 64 0.15
+9 0 2 0 0 38 48 64 0.3
+9 0 2 0 0 39 48 64 0.450000000000001
+9 0 2 0 0 40 48 64 0.600000000000001
+9 0 2 0 0 41 48 64 0.750000000000001
+9 0 2 0 0 42 48 64 0.900000000000001
+9 0 2 0 0 43 48 64 1.05
+9 0 2 0 0 44 48 64 1.2
+9 0 2 0 0 45 48 64 1.35
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 1.35
+10 0 2 0 0 28 48 64 1.2
+10 0 2 0 0 29 48 64 1.05
+10 0 2 0 0 30 48 64 0.9
+10 0 2 0 0 31 48 64 0.75
+10 0 2 0 0 32 48 64 0.6
+10 0 2 0 0 33 48 64 0.45
+10 0 2 0 0 34 48 64 0.3
+10 0 2 0 0 35 48 64 0.15
+10 0 2 0 0 36 48 64 6.2803698347351e-16
+10 0 2 0 0 37 48 64 0.15
+10 0 2 0 0 38 48 64 0.3
+10 0 2 0 0 39 48 64 0.450000000000001
+10 0 2 0 0 40 48 64 0.600000000000001
+10 0 2 0 0 41 48 64 0.750000000000001
+10 0 2 0 0 42 48 64 0.900000000000001
+10 0 2 0 0 43 48 64 1.05
+10 0 2 0 0 44 48 64 1.2
+10 0 2 0 0 45 48 64 1.35
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 2.7
+10 0 1 0 0 20 48 64 2.4
+10 0 1 0 0 22 48 64 2.1
+10 0 1 0 0 24 48 64 1.8
+10 0 1 0 0 26 48 64 1.5
+10 0 1 0 0 28 48 64 1.2
+10 0 1 0 0 30 48 64 0.9
+10 0 1 0 0 32 48 64 0.6
+10 0 1 0 0 34 48 64 0.3
+10 0 1 0 0 36 48 64 6.2803698347351e-16
+10 0 1 0 0 38 48 64 0.3
+10 0 1 0 0 40 48 64 0.600000000000001
+10 0 1 0 0 42 48 64 0.900000000000001
+10 0 1 0 0 44 48 64 1.2
+10 0 1 0 0 46 48 64 1.5
+10 0 1 0 0 48 48 64 1.8
+10 0 1 0 0 50 48 64 2.1
+10 0 1 0 0 52 48 64 2.4
+10 0 1 0 0 54 48 64 2.7
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 1.35
+11 0 2 0 0 28 48 64 1.2
+11 0 2 0 0 29 48 64 1.05
+11 0 2 0 0 30 48 64 0.9
+11 0 2 0 0 31 48 64 0.75
+11 0 2 0 0 32 48 64 0.6
+11 0 2 0 0 33 48 64 0.45
+11 0 2 0 0 34 48 64 0.3
+11 0 2 0 0 35 48 64 0.15
+11 0 2 0 0 36 48 64 6.2803698347351e-16
+11 0 2 0 0 37 48 64 0.15
+11 0 2 0 0 38 48 64 0.3
+11 0 2 0 0 39 48 64 0.450000000000001
+11 0 2 0 0 40 48 64 0.600000000000001
+11 0 2 0 0 41 48 64 0.750000000000001
+11 0 2 0 0 42 48 64 0.900000000000001
+11 0 2 0 0 43 48 64 1.05
+11 0 2 0 0 44 48 64 1.2
+11 0 2 0 0 45 48 64 1.35
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 1.35
+12 0 2 0 0 28 48 64 1.2
+12 0 2 0 0 29 48 64 1.05
+12 0 2 0 0 30 48 64 0.9
+12 0 2 0 0 31 48 64 0.75
+12 0 2 0 0 32 48 64 0.6
+12 0 2 0 0 33 48 64 0.45
+12 0 2 0 0 34 48 64 0.3
+12 0 2 0 0 35 48 64 0.15
+12 0 2 0 0 36 48 64 6.2803698347351e-16
+12 0 2 0 0 37 48 64 0.15
+12 0 2 0 0 38 48 64 0.3
+12 0 2 0 0 39 48 64 0.450000000000001
+12 0 2 0 0 40 48 64 0.600000000000001
+12 0 2 0 0 41 48 64 0.750000000000001
+12 0 2 0 0 42 48 64 0.900000000000001
+12 0 2 0 0 43 48 64 1.05
+12 0 2 0 0 44 48 64 1.2
+12 0 2 0 0 45 48 64 1.35
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 2.7
+12 0 1 0 0 20 48 64 2.4
+12 0 1 0 0 22 48 64 2.1
+12 0 1 0 0 24 48 64 1.8
+12 0 1 0 0 26 48 64 1.5
+12 0 1 0 0 28 48 64 1.2
+12 0 1 0 0 30 48 64 0.9
+12 0 1 0 0 32 48 64 0.6
+12 0 1 0 0 34 48 64 0.3
+12 0 1 0 0 36 48 64 6.2803698347351e-16
+12 0 1 0 0 38 48 64 0.3
+12 0 1 0 0 40 48 64 0.600000000000001
+12 0 1 0 0 42 48 64 0.900000000000001
+12 0 1 0 0 44 48 64 1.2
+12 0 1 0 0 46 48 64 1.5
+12 0 1 0 0 48 48 64 1.8
+12 0 1 0 0 50 48 64 2.1
+12 0 1 0 0 52 48 64 2.4
+12 0 1 0 0 54 48 64 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 5.4
+12 0 0 0 0 4 48 64 4.8
+12 0 0 0 0 8 48 64 4.2
+12 0 0 0 0 12 48 64 3.6
+12 0 0 0 0 16 48 64 3
+12 0 0 0 0 20 48 64 2.4
+12 0 0 0 0 24 48 64 1.8
+12 0 0 0 0 28 48 64 1.2
+12 0 0 0 0 32 48 64 0.6
+12 0 0 0 0 36 48 64 6.2803698347351e-16
+12 0 0 0 0 40 48 64 0.600000000000001
+12 0 0 0 0 44 48 64 1.2
+12 0 0 0 0 48 48 64 1.8
+12 0 0 0 0 52 48 64 2.4
+12 0 0 0 0 56 48 64 3
+12 0 0 0 0 60 48 64 3.6
+12 0 0 0 0 64 48 64 4.2
+12 0 0 0 0 68 48 64 4.8
+12 0 0 0 0 72 48 64 5.4
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 1.35
+13 0 2 0 0 28 48 64 1.2
+13 0 2 0 0 29 48 64 1.05
+13 0 2 0 0 30 48 64 0.9
+13 0 2 0 0 31 48 64 0.75
+13 0 2 0 0 32 48 64 0.6
+13 0 2 0 0 33 48 64 0.45
+13 0 2 0 0 34 48 64 0.3
+13 0 2 0 0 35 48 64 0.15
+13 0 2 0 0 36 48 64 6.2803698347351e-16
+13 0 2 0 0 37 48 64 0.15
+13 0 2 0 0 38 48 64 0.3
+13 0 2 0 0 39 48 64 0.450000000000001
+13 0 2 0 0 40 48 64 0.600000000000001
+13 0 2 0 0 41 48 64 0.750000000000001
+13 0 2 0 0 42 48 64 0.900000000000001
+13 0 2 0 0 43 48 64 1.05
+13 0 2 0 0 44 48 64 1.2
+13 0 2 0 0 45 48 64 1.35
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 1.35
+14 0 2 0 0 28 48 64 1.2
+14 0 2 0 0 29 48 64 1.05
+14 0 2 0 0 30 48 64 0.9
+14 0 2 0 0 31 48 64 0.75
+14 0 2 0 0 32 48 64 0.6
+14 0 2 0 0 33 48 64 0.45
+14 0 2 0 0 34 48 64 0.3
+14 0 2 0 0 35 48 64 0.15
+14 0 2 0 0 36 48 64 6.2803698347351e-16
+14 0 2 0 0 37 48 64 0.15
+14 0 2 0 0 38 48 64 0.3
+14 0 2 0 0 39 48 64 0.450000000000001
+14 0 2 0 0 40 48 64 0.600000000000001
+14 0 2 0 0 41 48 64 0.750000000000001
+14 0 2 0 0 42 48 64 0.900000000000001
+14 0 2 0 0 43 48 64 1.05
+14 0 2 0 0 44 48 64 1.2
+14 0 2 0 0 45 48 64 1.35
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 2.7
+14 0 1 0 0 20 48 64 2.4
+14 0 1 0 0 22 48 64 2.1
+14 0 1 0 0 24 48 64 1.8
+14 0 1 0 0 26 48 64 1.5
+14 0 1 0 0 28 48 64 1.2
+14 0 1 0 0 30 48 64 0.9
+14 0 1 0 0 32 48 64 0.6
+14 0 1 0 0 34 48 64 0.3
+14 0 1 0 0 36 48 64 6.2803698347351e-16
+14 0 1 0 0 38 48 64 0.3
+14 0 1 0 0 40 48 64 0.600000000000001
+14 0 1 0 0 42 48 64 0.900000000000001
+14 0 1 0 0 44 48 64 1.2
+14 0 1 0 0 46 48 64 1.5
+14 0 1 0 0 48 48 64 1.8
+14 0 1 0 0 50 48 64 2.1
+14 0 1 0 0 52 48 64 2.4
+14 0 1 0 0 54 48 64 2.7
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 1.35
+15 0 2 0 0 28 48 64 1.2
+15 0 2 0 0 29 48 64 1.05
+15 0 2 0 0 30 48 64 0.9
+15 0 2 0 0 31 48 64 0.75
+15 0 2 0 0 32 48 64 0.6
+15 0 2 0 0 33 48 64 0.45
+15 0 2 0 0 34 48 64 0.3
+15 0 2 0 0 35 48 64 0.15
+15 0 2 0 0 36 48 64 6.2803698347351e-16
+15 0 2 0 0 37 48 64 0.15
+15 0 2 0 0 38 48 64 0.3
+15 0 2 0 0 39 48 64 0.450000000000001
+15 0 2 0 0 40 48 64 0.600000000000001
+15 0 2 0 0 41 48 64 0.750000000000001
+15 0 2 0 0 42 48 64 0.900000000000001
+15 0 2 0 0 43 48 64 1.05
+15 0 2 0 0 44 48 64 1.2
+15 0 2 0 0 45 48 64 1.35
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 1.35
+16 0 2 0 0 28 48 64 1.2
+16 0 2 0 0 29 48 64 1.05
+16 0 2 0 0 30 48 64 0.9
+16 0 2 0 0 31 48 64 0.75
+16 0 2 0 0 32 48 64 0.6
+16 0 2 0 0 33 48 64 0.45
+16 0 2 0 0 34 48 64 0.3
+16 0 2 0 0 35 48 64 0.15
+16 0 2 0 0 36 48 64 6.2803698347351e-16
+16 0 2 0 0 37 48 64 0.15
+16 0 2 0 0 38 48 64 0.3
+16 0 2 0 0 39 48 64 0.450000000000001
+16 0 2 0 0 40 48 64 0.600000000000001
+16 0 2 0 0 41 48 64 0.750000000000001
+16 0 2 0 0 42 48 64 0.900000000000001
+16 0 2 0 0 43 48 64 1.05
+16 0 2 0 0 44 48 64 1.2
+16 0 2 0 0 45 48 64 1.35
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 2.7
+16 0 1 0 0 20 48 64 2.4
+16 0 1 0 0 22 48 64 2.1
+16 0 1 0 0 24 48 64 1.8
+16 0 1 0 0 26 48 64 1.5
+16 0 1 0 0 28 48 64 1.2
+16 0 1 0 0 30 48 64 0.9
+16 0 1 0 0 32 48 64 0.6
+16 0 1 0 0 34 48 64 0.3
+16 0 1 0 0 36 48 64 6.2803698347351e-16
+16 0 1 0 0 38 48 64 0.3
+16 0 1 0 0 40 48 64 0.600000000000001
+16 0 1 0 0 42 48 64 0.900000000000001
+16 0 1 0 0 44 48 64 1.2
+16 0 1 0 0 46 48 64 1.5
+16 0 1 0 0 48 48 64 1.8
+16 0 1 0 0 50 48 64 2.1
+16 0 1 0 0 52 48 64 2.4
+16 0 1 0 0 54 48 64 2.7
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 5.4
+16 0 0 0 0 4 48 64 4.8
+16 0 0 0 0 8 48 64 4.2
+16 0 0 0 0 12 48 64 3.6
+16 0 0 0 0 16 48 64 3
+16 0 0 0 0 20 48 64 2.4
+16 0 0 0 0 24 48 64 1.8
+16 0 0 0 0 28 48 64 1.2
+16 0 0 0 0 32 48 64 0.6
+16 0 0 0 0 36 48 64 6.2803698347351e-16
+16 0 0 0 0 40 48 64 0.600000000000001
+16 0 0 0 0 44 48 64 1.2
+16 0 0 0 0 48 48 64 1.8
+16 0 0 0 0 52 48 64 2.4
+16 0 0 0 0 56 48 64 3
+16 0 0 0 0 60 48 64 3.6
+16 0 0 0 0 64 48 64 4.2
+16 0 0 0 0 68 48 64 4.8
+16 0 0 0 0 72 48 64 5.4
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 1.35
+17 0 2 0 0 28 48 64 1.2
+17 0 2 0 0 29 48 64 1.05
+17 0 2 0 0 30 48 64 0.9
+17 0 2 0 0 31 48 64 0.75
+17 0 2 0 0 32 48 64 0.6
+17 0 2 0 0 33 48 64 0.45
+17 0 2 0 0 34 48 64 0.3
+17 0 2 0 0 35 48 64 0.15
+17 0 2 0 0 36 48 64 6.2803698347351e-16
+17 0 2 0 0 37 48 64 0.15
+17 0 2 0 0 38 48 64 0.3
+17 0 2 0 0 39 48 64 0.450000000000001
+17 0 2 0 0 40 48 64 0.600000000000001
+17 0 2 0 0 41 48 64 0.750000000000001
+17 0 2 0 0 42 48 64 0.900000000000001
+17 0 2 0 0 43 48 64 1.05
+17 0 2 0 0 44 48 64 1.2
+17 0 2 0 0 45 48 64 1.35
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 1.35
+18 0 2 0 0 28 48 64 1.2
+18 0 2 0 0 29 48 64 1.05
+18 0 2 0 0 30 48 64 0.9
+18 0 2 0 0 31 48 64 0.75
+18 0 2 0 0 32 48 64 0.6
+18 0 2 0 0 33 48 64 0.45
+18 0 2 0 0 34 48 64 0.3
+18 0 2 0 0 35 48 64 0.15
+18 0 2 0 0 36 48 64 6.2803698347351e-16
+18 0 2 0 0 37 48 64 0.15
+18 0 2 0 0 38 48 64 0.3
+18 0 2 0 0 39 48 64 0.450000000000001
+18 0 2 0 0 40 48 64 0.600000000000001
+18 0 2 0 0 41 48 64 0.750000000000001
+18 0 2 0 0 42 48 64 0.900000000000001
+18 0 2 0 0 43 48 64 1.05
+18 0 2 0 0 44 48 64 1.2
+18 0 2 0 0 45 48 64 1.35
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 2.7
+18 0 1 0 0 20 48 64 2.4
+18 0 1 0 0 22 48 64 2.1
+18 0 1 0 0 24 48 64 1.8
+18 0 1 0 0 26 48 64 1.5
+18 0 1 0 0 28 48 64 1.2
+18 0 1 0 0 30 48 64 0.9
+18 0 1 0 0 32 48 64 0.6
+18 0 1 0 0 34 48 64 0.3
+18 0 1 0 0 36 48 64 6.2803698347351e-16
+18 0 1 0 0 38 48 64 0.3
+18 0 1 0 0 40 48 64 0.600000000000001
+18 0 1 0 0 42 48 64 0.900000000000001
+18 0 1 0 0 44 48 64 1.2
+18 0 1 0 0 46 48 64 1.5
+18 0 1 0 0 48 48 64 1.8
+18 0 1 0 0 50 48 64 2.1
+18 0 1 0 0 52 48 64 2.4
+18 0 1 0 0 54 48 64 2.7
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 1.35
+19 0 2 0 0 28 48 64 1.2
+19 0 2 0 0 29 48 64 1.05
+19 0 2 0 0 30 48 64 0.9
+19 0 2 0 0 31 48 64 0.75
+19 0 2 0 0 32 48 64 0.6
+19 0 2 0 0 33 48 64 0.45
+19 0 2 0 0 34 48 64 0.3
+19 0 2 0 0 35 48 64 0.15
+19 0 2 0 0 36 48 64 6.2803698347351e-16
+19 0 2 0 0 37 48 64 0.15
+19 0 2 0 0 38 48 64 0.3
+19 0 2 0 0 39 48 64 0.450000000000001
+19 0 2 0 0 40 48 64 0.600000000000001
+19 0 2 0 0 41 48 64 0.750000000000001
+19 0 2 0 0 42 48 64 0.900000000000001
+19 0 2 0 0 43 48 64 1.05
+19 0 2 0 0 44 48 64 1.2
+19 0 2 0 0 45 48 64 1.35
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 1.35
+20 0 2 0 0 28 48 64 1.2
+20 0 2 0 0 29 48 64 1.05
+20 0 2 0 0 30 48 64 0.9
+20 0 2 0 0 31 48 64 0.75
+20 0 2 0 0 32 48 64 0.6
+20 0 2 0 0 33 48 64 0.45
+20 0 2 0 0 34 48 64 0.3
+20 0 2 0 0 35 48 64 0.15
+20 0 2 0 0 36 48 64 6.2803698347351e-16
+20 0 2 0 0 37 48 64 0.15
+20 0 2 0 0 38 48 64 0.3
+20 0 2 0 0 39 48 64 0.450000000000001
+20 0 2 0 0 40 48 64 0.600000000000001
+20 0 2 0 0 41 48 64 0.750000000000001
+20 0 2 0 0 42 48 64 0.900000000000001
+20 0 2 0 0 43 48 64 1.05
+20 0 2 0 0 44 48 64 1.2
+20 0 2 0 0 45 48 64 1.35
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 2.7
+20 0 1 0 0 20 48 64 2.4
+20 0 1 0 0 22 48 64 2.1
+20 0 1 0 0 24 48 64 1.8
+20 0 1 0 0 26 48 64 1.5
+20 0 1 0 0 28 48 64 1.2
+20 0 1 0 0 30 48 64 0.9
+20 0 1 0 0 32 48 64 0.6
+20 0 1 0 0 34 48 64 0.3
+20 0 1 0 0 36 48 64 6.2803698347351e-16
+20 0 1 0 0 38 48 64 0.3
+20 0 1 0 0 40 48 64 0.600000000000001
+20 0 1 0 0 42 48 64 0.900000000000001
+20 0 1 0 0 44 48 64 1.2
+20 0 1 0 0 46 48 64 1.5
+20 0 1 0 0 48 48 64 1.8
+20 0 1 0 0 50 48 64 2.1
+20 0 1 0 0 52 48 64 2.4
+20 0 1 0 0 54 48 64 2.7
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 5.4
+20 0 0 0 0 4 48 64 4.8
+20 0 0 0 0 8 48 64 4.2
+20 0 0 0 0 12 48 64 3.6
+20 0 0 0 0 16 48 64 3
+20 0 0 0 0 20 48 64 2.4
+20 0 0 0 0 24 48 64 1.8
+20 0 0 0 0 28 48 64 1.2
+20 0 0 0 0 32 48 64 0.6
+20 0 0 0 0 36 48 64 6.2803698347351e-16
+20 0 0 0 0 40 48 64 0.600000000000001
+20 0 0 0 0 44 48 64 1.2
+20 0 0 0 0 48 48 64 1.8
+20 0 0 0 0 52 48 64 2.4
+20 0 0 0 0 56 48 64 3
+20 0 0 0 0 60 48 64 3.6
+20 0 0 0 0 64 48 64 4.2
+20 0 0 0 0 68 48 64 4.8
+20 0 0 0 0 72 48 64 5.4
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 1.35
+21 0 2 0 0 28 48 64 1.2
+21 0 2 0 0 29 48 64 1.05
+21 0 2 0 0 30 48 64 0.9
+21 0 2 0 0 31 48 64 0.75
+21 0 2 0 0 32 48 64 0.6
+21 0 2 0 0 33 48 64 0.45
+21 0 2 0 0 34 48 64 0.3
+21 0 2 0 0 35 48 64 0.15
+21 0 2 0 0 36 48 64 6.2803698347351e-16
+21 0 2 0 0 37 48 64 0.15
+21 0 2 0 0 38 48 64 0.3
+21 0 2 0 0 39 48 64 0.450000000000001
+21 0 2 0 0 40 48 64 0.600000000000001
+21 0 2 0 0 41 48 64 0.750000000000001
+21 0 2 0 0 42 48 64 0.900000000000001
+21 0 2 0 0 43 48 64 1.05
+21 0 2 0 0 44 48 64 1.2
+21 0 2 0 0 45 48 64 1.35
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 1.35
+22 0 2 0 0 28 48 64 1.2
+22 0 2 0 0 29 48 64 1.05
+22 0 2 0 0 30 48 64 0.9
+22 0 2 0 0 31 48 64 0.75
+22 0 2 0 0 32 48 64 0.6
+22 0 2 0 0 33 48 64 0.45
+22 0 2 0 0 34 48 64 0.3
+22 0 2 0 0 35 48 64 0.15
+22 0 2 0 0 36 48 64 6.2803698347351e-16
+22 0 2 0 0 37 48 64 0.15
+22 0 2 0 0 38 48 64 0.3
+22 0 2 0 0 39 48 64 0.450000000000001
+22 0 2 0 0 40 48 64 0.600000000000001
+22 0 2 0 0 41 48 64 0.750000000000001
+22 0 2 0 0 42 48 64 0.900000000000001
+22 0 2 0 0 43 48 64 1.05
+22 0 2 0 0 44 48 64 1.2
+22 0 2 0 0 45 48 64 1.35
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 2.7
+22 0 1 0 0 20 48 64 2.4
+22 0 1 0 0 22 48 64 2.1
+22 0 1 0 0 24 48 64 1.8
+22 0 1 0 0 26 48 64 1.5
+22 0 1 0 0 28 48 64 1.2
+22 0 1 0 0 30 48 64 0.9
+22 0 1 0 0 32 48 64 0.6
+22 0 1 0 0 34 48 64 0.3
+22 0 1 0 0 36 48 64 6.2803698347351e-16
+22 0 1 0 0 38 48 64 0.3
+22 0 1 0 0 40 48 64 0.600000000000001
+22 0 1 0 0 42 48 64 0.900000000000001
+22 0 1 0 0 44 48 64 1.2
+22 0 1 0 0 46 48 64 1.5
+22 0 1 0 0 48 48 64 1.8
+22 0 1 0 0 50 48 64 2.1
+22 0 1 0 0 52 48 64 2.4
+22 0 1 0 0 54 48 64 2.7
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 1.35
+23 0 2 0 0 28 48 64 1.2
+23 0 2 0 0 29 48 64 1.05
+23 0 2 0 0 30 48 64 0.9
+23 0 2 0 0 31 48 64 0.75
+23 0 2 0 0 32 48 64 0.6
+23 0 2 0 0 33 48 64 0.45
+23 0 2 0 0 34 48 64 0.3
+23 0 2 0 0 35 48 64 0.15
+23 0 2 0 0 36 48 64 6.2803698347351e-16
+23 0 2 0 0 37 48 64 0.15
+23 0 2 0 0 38 48 64 0.3
+23 0 2 0 0 39 48 64 0.450000000000001
+23 0 2 0 0 40 48 64 0.600000000000001
+23 0 2 0 0 41 48 64 0.750000000000001
+23 0 2 0 0 42 48 64 0.900000000000001
+23 0 2 0 0 43 48 64 1.05
+23 0 2 0 0 44 48 64 1.2
+23 0 2 0 0 45 48 64 1.35
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 1.35
+24 0 2 0 0 28 48 64 1.2
+24 0 2 0 0 29 48 64 1.05
+24 0 2 0 0 30 48 64 0.9
+24 0 2 0 0 31 48 64 0.75
+24 0 2 0 0 32 48 64 0.6
+24 0 2 0 0 33 48 64 0.45
+24 0 2 0 0 34 48 64 0.3
+24 0 2 0 0 35 48 64 0.15
+24 0 2 0 0 36 48 64 6.2803698347351e-16
+24 0 2 0 0 37 48 64 0.15
+24 0 2 0 0 38 48 64 0.3
+24 0 2 0 0 39 48 64 0.450000000000001
+24 0 2 0 0 40 48 64 0.600000000000001
+24 0 2 0 0 41 48 64 0.750000000000001
+24 0 2 0 0 42 48 64 0.900000000000001
+24 0 2 0 0 43 48 64 1.05
+24 0 2 0 0 44 48 64 1.2
+24 0 2 0 0 45 48 64 1.35
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 2.7
+24 0 1 0 0 20 48 64 2.4
+24 0 1 0 0 22 48 64 2.1
+24 0 1 0 0 24 48 64 1.8
+24 0 1 0 0 26 48 64 1.5
+24 0 1 0 0 28 48 64 1.2
+24 0 1 0 0 30 48 64 0.9
+24 0 1 0 0 32 48 64 0.6
+24 0 1 0 0 34 48 64 0.3
+24 0 1 0 0 36 48 64 6.2803698347351e-16
+24 0 1 0 0 38 48 64 0.3
+24 0 1 0 0 40 48 64 0.600000000000001
+24 0 1 0 0 42 48 64 0.900000000000001
+24 0 1 0 0 44 48 64 1.2
+24 0 1 0 0 46 48 64 1.5
+24 0 1 0 0 48 48 64 1.8
+24 0 1 0 0 50 48 64 2.1
+24 0 1 0 0 52 48 64 2.4
+24 0 1 0 0 54 48 64 2.7
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 5.4
+24 0 0 0 0 4 48 64 4.8
+24 0 0 0 0 8 48 64 4.2
+24 0 0 0 0 12 48 64 3.6
+24 0 0 0 0 16 48 64 3
+24 0 0 0 0 20 48 64 2.4
+24 0 0 0 0 24 48 64 1.8
+24 0 0 0 0 28 48 64 1.2
+24 0 0 0 0 32 48 64 0.6
+24 0 0 0 0 36 48 64 6.2803698347351e-16
+24 0 0 0 0 40 48 64 0.600000000000001
+24 0 0 0 0 44 48 64 1.2
+24 0 0 0 0 48 48 64 1.8
+24 0 0 0 0 52 48 64 2.4
+24 0 0 0 0 56 48 64 3
+24 0 0 0 0 60 48 64 3.6
+24 0 0 0 0 64 48 64 4.2
+24 0 0 0 0 68 48 64 4.8
+24 0 0 0 0 72 48 64 5.4
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/spher3d_r.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/spher3d_r.yl
new file mode 100644
index 000000000..f281181d4
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/spher3d_r.yl
@@ -0,0 +1,1397 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 1.35
+0 0 2 0 0 36 40 64 1.2
+0 0 2 0 0 36 41 64 1.05
+0 0 2 0 0 36 42 64 0.9
+0 0 2 0 0 36 43 64 0.75
+0 0 2 0 0 36 44 64 0.6
+0 0 2 0 0 36 45 64 0.45
+0 0 2 0 0 36 46 64 0.3
+0 0 2 0 0 36 47 64 0.15
+0 0 2 0 0 36 48 64 6.2803698347351e-16
+0 0 2 0 0 36 49 64 0.15
+0 0 2 0 0 36 50 64 0.3
+0 0 2 0 0 36 51 64 0.45
+0 0 2 0 0 36 52 64 0.6
+0 0 2 0 0 36 53 64 0.75
+0 0 2 0 0 36 54 64 0.899999999999999
+0 0 2 0 0 36 55 64 1.05
+0 0 2 0 0 36 56 64 1.2
+0 0 2 0 0 36 57 64 1.35
+0 0 2 0 0 36 58 64 1.5
+0 0 2 0 0 36 59 64 1.65
+0 0 2 0 0 36 60 64 1.8
+0 0 2 0 0 36 61 64 1.95
+0 0 2 0 0 36 62 64 2.1
+0 0 2 0 0 36 63 64 2.25
+0 0 2 0 0 36 64 64 2.4
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 3.3
+0 0 1 0 0 36 28 64 3
+0 0 1 0 0 36 30 64 2.7
+0 0 1 0 0 36 32 64 2.4
+0 0 1 0 0 36 34 64 2.1
+0 0 1 0 0 36 36 64 1.8
+0 0 1 0 0 36 38 64 1.5
+0 0 1 0 0 36 40 64 1.2
+0 0 1 0 0 36 42 64 0.9
+0 0 1 0 0 36 44 64 0.6
+0 0 1 0 0 36 46 64 0.3
+0 0 1 0 0 36 48 64 6.2803698347351e-16
+0 0 1 0 0 36 50 64 0.3
+0 0 1 0 0 36 52 64 0.6
+0 0 1 0 0 36 54 64 0.899999999999999
+0 0 1 0 0 36 56 64 1.2
+0 0 1 0 0 36 58 64 1.5
+0 0 1 0 0 36 60 64 1.8
+0 0 1 0 0 36 62 64 2.1
+0 0 1 0 0 36 64 64 2.4
+0 0 1 0 0 36 66 64 2.7
+0 0 1 0 0 36 68 64 3
+0 0 1 0 0 36 70 64 3.3
+0 0 1 0 0 36 72 64 3.6
+0 0 1 0 0 36 74 64 3.9
+0 0 1 0 0 36 76 64 4.2
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 7.2
+0 0 0 0 0 36 4 64 6.6
+0 0 0 0 0 36 8 64 6
+0 0 0 0 0 36 12 64 5.4
+0 0 0 0 0 36 16 64 4.8
+0 0 0 0 0 36 20 64 4.2
+0 0 0 0 0 36 24 64 3.6
+0 0 0 0 0 36 28 64 3
+0 0 0 0 0 36 32 64 2.4
+0 0 0 0 0 36 36 64 1.8
+0 0 0 0 0 36 40 64 1.2
+0 0 0 0 0 36 44 64 0.6
+0 0 0 0 0 36 48 64 6.2803698347351e-16
+0 0 0 0 0 36 52 64 0.6
+0 0 0 0 0 36 56 64 1.2
+0 0 0 0 0 36 60 64 1.8
+0 0 0 0 0 36 64 64 2.4
+0 0 0 0 0 36 68 64 3
+0 0 0 0 0 36 72 64 3.6
+0 0 0 0 0 36 76 64 4.2
+0 0 0 0 0 36 80 64 4.8
+0 0 0 0 0 36 84 64 5.4
+0 0 0 0 0 36 88 64 6
+0 0 0 0 0 36 92 64 6.6
+0 0 0 0 0 36 96 64 7.2
+0 0 0 0 0 36 100 64 7.8
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 1.35
+1 0 2 0 0 36 40 64 1.2
+1 0 2 0 0 36 41 64 1.05
+1 0 2 0 0 36 42 64 0.9
+1 0 2 0 0 36 43 64 0.75
+1 0 2 0 0 36 44 64 0.6
+1 0 2 0 0 36 45 64 0.45
+1 0 2 0 0 36 46 64 0.3
+1 0 2 0 0 36 47 64 0.15
+1 0 2 0 0 36 48 64 6.2803698347351e-16
+1 0 2 0 0 36 49 64 0.15
+1 0 2 0 0 36 50 64 0.3
+1 0 2 0 0 36 51 64 0.45
+1 0 2 0 0 36 52 64 0.6
+1 0 2 0 0 36 53 64 0.75
+1 0 2 0 0 36 54 64 0.899999999999999
+1 0 2 0 0 36 55 64 1.05
+1 0 2 0 0 36 56 64 1.2
+1 0 2 0 0 36 57 64 1.35
+1 0 2 0 0 36 58 64 1.5
+1 0 2 0 0 36 59 64 1.65
+1 0 2 0 0 36 60 64 1.8
+1 0 2 0 0 36 61 64 1.95
+1 0 2 0 0 36 62 64 2.1
+1 0 2 0 0 36 63 64 2.25
+1 0 2 0 0 36 64 64 2.4
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 1.35
+2 0 2 0 0 36 40 64 1.2
+2 0 2 0 0 36 41 64 1.05
+2 0 2 0 0 36 42 64 0.9
+2 0 2 0 0 36 43 64 0.75
+2 0 2 0 0 36 44 64 0.6
+2 0 2 0 0 36 45 64 0.45
+2 0 2 0 0 36 46 64 0.3
+2 0 2 0 0 36 47 64 0.15
+2 0 2 0 0 36 48 64 6.2803698347351e-16
+2 0 2 0 0 36 49 64 0.15
+2 0 2 0 0 36 50 64 0.3
+2 0 2 0 0 36 51 64 0.45
+2 0 2 0 0 36 52 64 0.6
+2 0 2 0 0 36 53 64 0.75
+2 0 2 0 0 36 54 64 0.899999999999999
+2 0 2 0 0 36 55 64 1.05
+2 0 2 0 0 36 56 64 1.2
+2 0 2 0 0 36 57 64 1.35
+2 0 2 0 0 36 58 64 1.5
+2 0 2 0 0 36 59 64 1.65
+2 0 2 0 0 36 60 64 1.8
+2 0 2 0 0 36 61 64 1.95
+2 0 2 0 0 36 62 64 2.1
+2 0 2 0 0 36 63 64 2.25
+2 0 2 0 0 36 64 64 2.4
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 3.3
+2 0 1 0 0 36 28 64 3
+2 0 1 0 0 36 30 64 2.7
+2 0 1 0 0 36 32 64 2.4
+2 0 1 0 0 36 34 64 2.1
+2 0 1 0 0 36 36 64 1.8
+2 0 1 0 0 36 38 64 1.5
+2 0 1 0 0 36 40 64 1.2
+2 0 1 0 0 36 42 64 0.9
+2 0 1 0 0 36 44 64 0.6
+2 0 1 0 0 36 46 64 0.3
+2 0 1 0 0 36 48 64 6.2803698347351e-16
+2 0 1 0 0 36 50 64 0.3
+2 0 1 0 0 36 52 64 0.6
+2 0 1 0 0 36 54 64 0.899999999999999
+2 0 1 0 0 36 56 64 1.2
+2 0 1 0 0 36 58 64 1.5
+2 0 1 0 0 36 60 64 1.8
+2 0 1 0 0 36 62 64 2.1
+2 0 1 0 0 36 64 64 2.4
+2 0 1 0 0 36 66 64 2.7
+2 0 1 0 0 36 68 64 3
+2 0 1 0 0 36 70 64 3.3
+2 0 1 0 0 36 72 64 3.6
+2 0 1 0 0 36 74 64 3.9
+2 0 1 0 0 36 76 64 4.2
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 1.35
+3 0 2 0 0 36 40 64 1.2
+3 0 2 0 0 36 41 64 1.05
+3 0 2 0 0 36 42 64 0.9
+3 0 2 0 0 36 43 64 0.75
+3 0 2 0 0 36 44 64 0.6
+3 0 2 0 0 36 45 64 0.45
+3 0 2 0 0 36 46 64 0.3
+3 0 2 0 0 36 47 64 0.15
+3 0 2 0 0 36 48 64 6.2803698347351e-16
+3 0 2 0 0 36 49 64 0.15
+3 0 2 0 0 36 50 64 0.3
+3 0 2 0 0 36 51 64 0.45
+3 0 2 0 0 36 52 64 0.6
+3 0 2 0 0 36 53 64 0.75
+3 0 2 0 0 36 54 64 0.899999999999999
+3 0 2 0 0 36 55 64 1.05
+3 0 2 0 0 36 56 64 1.2
+3 0 2 0 0 36 57 64 1.35
+3 0 2 0 0 36 58 64 1.5
+3 0 2 0 0 36 59 64 1.65
+3 0 2 0 0 36 60 64 1.8
+3 0 2 0 0 36 61 64 1.95
+3 0 2 0 0 36 62 64 2.1
+3 0 2 0 0 36 63 64 2.25
+3 0 2 0 0 36 64 64 2.4
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 1.35
+4 0 2 0 0 36 40 64 1.2
+4 0 2 0 0 36 41 64 1.05
+4 0 2 0 0 36 42 64 0.9
+4 0 2 0 0 36 43 64 0.75
+4 0 2 0 0 36 44 64 0.6
+4 0 2 0 0 36 45 64 0.45
+4 0 2 0 0 36 46 64 0.3
+4 0 2 0 0 36 47 64 0.15
+4 0 2 0 0 36 48 64 6.2803698347351e-16
+4 0 2 0 0 36 49 64 0.15
+4 0 2 0 0 36 50 64 0.3
+4 0 2 0 0 36 51 64 0.45
+4 0 2 0 0 36 52 64 0.6
+4 0 2 0 0 36 53 64 0.75
+4 0 2 0 0 36 54 64 0.899999999999999
+4 0 2 0 0 36 55 64 1.05
+4 0 2 0 0 36 56 64 1.2
+4 0 2 0 0 36 57 64 1.35
+4 0 2 0 0 36 58 64 1.5
+4 0 2 0 0 36 59 64 1.65
+4 0 2 0 0 36 60 64 1.8
+4 0 2 0 0 36 61 64 1.95
+4 0 2 0 0 36 62 64 2.1
+4 0 2 0 0 36 63 64 2.25
+4 0 2 0 0 36 64 64 2.4
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 3.3
+4 0 1 0 0 36 28 64 3
+4 0 1 0 0 36 30 64 2.7
+4 0 1 0 0 36 32 64 2.4
+4 0 1 0 0 36 34 64 2.1
+4 0 1 0 0 36 36 64 1.8
+4 0 1 0 0 36 38 64 1.5
+4 0 1 0 0 36 40 64 1.2
+4 0 1 0 0 36 42 64 0.9
+4 0 1 0 0 36 44 64 0.6
+4 0 1 0 0 36 46 64 0.3
+4 0 1 0 0 36 48 64 6.2803698347351e-16
+4 0 1 0 0 36 50 64 0.3
+4 0 1 0 0 36 52 64 0.6
+4 0 1 0 0 36 54 64 0.899999999999999
+4 0 1 0 0 36 56 64 1.2
+4 0 1 0 0 36 58 64 1.5
+4 0 1 0 0 36 60 64 1.8
+4 0 1 0 0 36 62 64 2.1
+4 0 1 0 0 36 64 64 2.4
+4 0 1 0 0 36 66 64 2.7
+4 0 1 0 0 36 68 64 3
+4 0 1 0 0 36 70 64 3.3
+4 0 1 0 0 36 72 64 3.6
+4 0 1 0 0 36 74 64 3.9
+4 0 1 0 0 36 76 64 4.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 7.2
+4 0 0 0 0 36 4 64 6.6
+4 0 0 0 0 36 8 64 6
+4 0 0 0 0 36 12 64 5.4
+4 0 0 0 0 36 16 64 4.8
+4 0 0 0 0 36 20 64 4.2
+4 0 0 0 0 36 24 64 3.6
+4 0 0 0 0 36 28 64 3
+4 0 0 0 0 36 32 64 2.4
+4 0 0 0 0 36 36 64 1.8
+4 0 0 0 0 36 40 64 1.2
+4 0 0 0 0 36 44 64 0.6
+4 0 0 0 0 36 48 64 6.2803698347351e-16
+4 0 0 0 0 36 52 64 0.6
+4 0 0 0 0 36 56 64 1.2
+4 0 0 0 0 36 60 64 1.8
+4 0 0 0 0 36 64 64 2.4
+4 0 0 0 0 36 68 64 3
+4 0 0 0 0 36 72 64 3.6
+4 0 0 0 0 36 76 64 4.2
+4 0 0 0 0 36 80 64 4.8
+4 0 0 0 0 36 84 64 5.4
+4 0 0 0 0 36 88 64 6
+4 0 0 0 0 36 92 64 6.6
+4 0 0 0 0 36 96 64 7.2
+4 0 0 0 0 36 100 64 7.8
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 1.35
+5 0 2 0 0 36 40 64 1.2
+5 0 2 0 0 36 41 64 1.05
+5 0 2 0 0 36 42 64 0.9
+5 0 2 0 0 36 43 64 0.75
+5 0 2 0 0 36 44 64 0.6
+5 0 2 0 0 36 45 64 0.45
+5 0 2 0 0 36 46 64 0.3
+5 0 2 0 0 36 47 64 0.15
+5 0 2 0 0 36 48 64 6.2803698347351e-16
+5 0 2 0 0 36 49 64 0.15
+5 0 2 0 0 36 50 64 0.3
+5 0 2 0 0 36 51 64 0.45
+5 0 2 0 0 36 52 64 0.6
+5 0 2 0 0 36 53 64 0.75
+5 0 2 0 0 36 54 64 0.899999999999999
+5 0 2 0 0 36 55 64 1.05
+5 0 2 0 0 36 56 64 1.2
+5 0 2 0 0 36 57 64 1.35
+5 0 2 0 0 36 58 64 1.5
+5 0 2 0 0 36 59 64 1.65
+5 0 2 0 0 36 60 64 1.8
+5 0 2 0 0 36 61 64 1.95
+5 0 2 0 0 36 62 64 2.1
+5 0 2 0 0 36 63 64 2.25
+5 0 2 0 0 36 64 64 2.4
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 1.35
+6 0 2 0 0 36 40 64 1.2
+6 0 2 0 0 36 41 64 1.05
+6 0 2 0 0 36 42 64 0.9
+6 0 2 0 0 36 43 64 0.75
+6 0 2 0 0 36 44 64 0.6
+6 0 2 0 0 36 45 64 0.45
+6 0 2 0 0 36 46 64 0.3
+6 0 2 0 0 36 47 64 0.15
+6 0 2 0 0 36 48 64 6.2803698347351e-16
+6 0 2 0 0 36 49 64 0.15
+6 0 2 0 0 36 50 64 0.3
+6 0 2 0 0 36 51 64 0.45
+6 0 2 0 0 36 52 64 0.6
+6 0 2 0 0 36 53 64 0.75
+6 0 2 0 0 36 54 64 0.899999999999999
+6 0 2 0 0 36 55 64 1.05
+6 0 2 0 0 36 56 64 1.2
+6 0 2 0 0 36 57 64 1.35
+6 0 2 0 0 36 58 64 1.5
+6 0 2 0 0 36 59 64 1.65
+6 0 2 0 0 36 60 64 1.8
+6 0 2 0 0 36 61 64 1.95
+6 0 2 0 0 36 62 64 2.1
+6 0 2 0 0 36 63 64 2.25
+6 0 2 0 0 36 64 64 2.4
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 3.3
+6 0 1 0 0 36 28 64 3
+6 0 1 0 0 36 30 64 2.7
+6 0 1 0 0 36 32 64 2.4
+6 0 1 0 0 36 34 64 2.1
+6 0 1 0 0 36 36 64 1.8
+6 0 1 0 0 36 38 64 1.5
+6 0 1 0 0 36 40 64 1.2
+6 0 1 0 0 36 42 64 0.9
+6 0 1 0 0 36 44 64 0.6
+6 0 1 0 0 36 46 64 0.3
+6 0 1 0 0 36 48 64 6.2803698347351e-16
+6 0 1 0 0 36 50 64 0.3
+6 0 1 0 0 36 52 64 0.6
+6 0 1 0 0 36 54 64 0.899999999999999
+6 0 1 0 0 36 56 64 1.2
+6 0 1 0 0 36 58 64 1.5
+6 0 1 0 0 36 60 64 1.8
+6 0 1 0 0 36 62 64 2.1
+6 0 1 0 0 36 64 64 2.4
+6 0 1 0 0 36 66 64 2.7
+6 0 1 0 0 36 68 64 3
+6 0 1 0 0 36 70 64 3.3
+6 0 1 0 0 36 72 64 3.6
+6 0 1 0 0 36 74 64 3.9
+6 0 1 0 0 36 76 64 4.2
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 1.35
+7 0 2 0 0 36 40 64 1.2
+7 0 2 0 0 36 41 64 1.05
+7 0 2 0 0 36 42 64 0.9
+7 0 2 0 0 36 43 64 0.75
+7 0 2 0 0 36 44 64 0.6
+7 0 2 0 0 36 45 64 0.45
+7 0 2 0 0 36 46 64 0.3
+7 0 2 0 0 36 47 64 0.15
+7 0 2 0 0 36 48 64 6.2803698347351e-16
+7 0 2 0 0 36 49 64 0.15
+7 0 2 0 0 36 50 64 0.3
+7 0 2 0 0 36 51 64 0.45
+7 0 2 0 0 36 52 64 0.6
+7 0 2 0 0 36 53 64 0.75
+7 0 2 0 0 36 54 64 0.899999999999999
+7 0 2 0 0 36 55 64 1.05
+7 0 2 0 0 36 56 64 1.2
+7 0 2 0 0 36 57 64 1.35
+7 0 2 0 0 36 58 64 1.5
+7 0 2 0 0 36 59 64 1.65
+7 0 2 0 0 36 60 64 1.8
+7 0 2 0 0 36 61 64 1.95
+7 0 2 0 0 36 62 64 2.1
+7 0 2 0 0 36 63 64 2.25
+7 0 2 0 0 36 64 64 2.4
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 1.35
+8 0 2 0 0 36 40 64 1.2
+8 0 2 0 0 36 41 64 1.05
+8 0 2 0 0 36 42 64 0.9
+8 0 2 0 0 36 43 64 0.75
+8 0 2 0 0 36 44 64 0.6
+8 0 2 0 0 36 45 64 0.45
+8 0 2 0 0 36 46 64 0.3
+8 0 2 0 0 36 47 64 0.15
+8 0 2 0 0 36 48 64 6.2803698347351e-16
+8 0 2 0 0 36 49 64 0.15
+8 0 2 0 0 36 50 64 0.3
+8 0 2 0 0 36 51 64 0.45
+8 0 2 0 0 36 52 64 0.6
+8 0 2 0 0 36 53 64 0.75
+8 0 2 0 0 36 54 64 0.899999999999999
+8 0 2 0 0 36 55 64 1.05
+8 0 2 0 0 36 56 64 1.2
+8 0 2 0 0 36 57 64 1.35
+8 0 2 0 0 36 58 64 1.5
+8 0 2 0 0 36 59 64 1.65
+8 0 2 0 0 36 60 64 1.8
+8 0 2 0 0 36 61 64 1.95
+8 0 2 0 0 36 62 64 2.1
+8 0 2 0 0 36 63 64 2.25
+8 0 2 0 0 36 64 64 2.4
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 3.3
+8 0 1 0 0 36 28 64 3
+8 0 1 0 0 36 30 64 2.7
+8 0 1 0 0 36 32 64 2.4
+8 0 1 0 0 36 34 64 2.1
+8 0 1 0 0 36 36 64 1.8
+8 0 1 0 0 36 38 64 1.5
+8 0 1 0 0 36 40 64 1.2
+8 0 1 0 0 36 42 64 0.9
+8 0 1 0 0 36 44 64 0.6
+8 0 1 0 0 36 46 64 0.3
+8 0 1 0 0 36 48 64 6.2803698347351e-16
+8 0 1 0 0 36 50 64 0.3
+8 0 1 0 0 36 52 64 0.6
+8 0 1 0 0 36 54 64 0.899999999999999
+8 0 1 0 0 36 56 64 1.2
+8 0 1 0 0 36 58 64 1.5
+8 0 1 0 0 36 60 64 1.8
+8 0 1 0 0 36 62 64 2.1
+8 0 1 0 0 36 64 64 2.4
+8 0 1 0 0 36 66 64 2.7
+8 0 1 0 0 36 68 64 3
+8 0 1 0 0 36 70 64 3.3
+8 0 1 0 0 36 72 64 3.6
+8 0 1 0 0 36 74 64 3.9
+8 0 1 0 0 36 76 64 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 7.2
+8 0 0 0 0 36 4 64 6.6
+8 0 0 0 0 36 8 64 6
+8 0 0 0 0 36 12 64 5.4
+8 0 0 0 0 36 16 64 4.8
+8 0 0 0 0 36 20 64 4.2
+8 0 0 0 0 36 24 64 3.6
+8 0 0 0 0 36 28 64 3
+8 0 0 0 0 36 32 64 2.4
+8 0 0 0 0 36 36 64 1.8
+8 0 0 0 0 36 40 64 1.2
+8 0 0 0 0 36 44 64 0.6
+8 0 0 0 0 36 48 64 6.2803698347351e-16
+8 0 0 0 0 36 52 64 0.6
+8 0 0 0 0 36 56 64 1.2
+8 0 0 0 0 36 60 64 1.8
+8 0 0 0 0 36 64 64 2.4
+8 0 0 0 0 36 68 64 3
+8 0 0 0 0 36 72 64 3.6
+8 0 0 0 0 36 76 64 4.2
+8 0 0 0 0 36 80 64 4.8
+8 0 0 0 0 36 84 64 5.4
+8 0 0 0 0 36 88 64 6
+8 0 0 0 0 36 92 64 6.6
+8 0 0 0 0 36 96 64 7.2
+8 0 0 0 0 36 100 64 7.8
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 1.35
+9 0 2 0 0 36 40 64 1.2
+9 0 2 0 0 36 41 64 1.05
+9 0 2 0 0 36 42 64 0.9
+9 0 2 0 0 36 43 64 0.75
+9 0 2 0 0 36 44 64 0.6
+9 0 2 0 0 36 45 64 0.45
+9 0 2 0 0 36 46 64 0.3
+9 0 2 0 0 36 47 64 0.15
+9 0 2 0 0 36 48 64 6.2803698347351e-16
+9 0 2 0 0 36 49 64 0.15
+9 0 2 0 0 36 50 64 0.3
+9 0 2 0 0 36 51 64 0.45
+9 0 2 0 0 36 52 64 0.6
+9 0 2 0 0 36 53 64 0.75
+9 0 2 0 0 36 54 64 0.899999999999999
+9 0 2 0 0 36 55 64 1.05
+9 0 2 0 0 36 56 64 1.2
+9 0 2 0 0 36 57 64 1.35
+9 0 2 0 0 36 58 64 1.5
+9 0 2 0 0 36 59 64 1.65
+9 0 2 0 0 36 60 64 1.8
+9 0 2 0 0 36 61 64 1.95
+9 0 2 0 0 36 62 64 2.1
+9 0 2 0 0 36 63 64 2.25
+9 0 2 0 0 36 64 64 2.4
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 1.35
+10 0 2 0 0 36 40 64 1.2
+10 0 2 0 0 36 41 64 1.05
+10 0 2 0 0 36 42 64 0.9
+10 0 2 0 0 36 43 64 0.75
+10 0 2 0 0 36 44 64 0.6
+10 0 2 0 0 36 45 64 0.45
+10 0 2 0 0 36 46 64 0.3
+10 0 2 0 0 36 47 64 0.15
+10 0 2 0 0 36 48 64 6.2803698347351e-16
+10 0 2 0 0 36 49 64 0.15
+10 0 2 0 0 36 50 64 0.3
+10 0 2 0 0 36 51 64 0.45
+10 0 2 0 0 36 52 64 0.6
+10 0 2 0 0 36 53 64 0.75
+10 0 2 0 0 36 54 64 0.899999999999999
+10 0 2 0 0 36 55 64 1.05
+10 0 2 0 0 36 56 64 1.2
+10 0 2 0 0 36 57 64 1.35
+10 0 2 0 0 36 58 64 1.5
+10 0 2 0 0 36 59 64 1.65
+10 0 2 0 0 36 60 64 1.8
+10 0 2 0 0 36 61 64 1.95
+10 0 2 0 0 36 62 64 2.1
+10 0 2 0 0 36 63 64 2.25
+10 0 2 0 0 36 64 64 2.4
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 3.3
+10 0 1 0 0 36 28 64 3
+10 0 1 0 0 36 30 64 2.7
+10 0 1 0 0 36 32 64 2.4
+10 0 1 0 0 36 34 64 2.1
+10 0 1 0 0 36 36 64 1.8
+10 0 1 0 0 36 38 64 1.5
+10 0 1 0 0 36 40 64 1.2
+10 0 1 0 0 36 42 64 0.9
+10 0 1 0 0 36 44 64 0.6
+10 0 1 0 0 36 46 64 0.3
+10 0 1 0 0 36 48 64 6.2803698347351e-16
+10 0 1 0 0 36 50 64 0.3
+10 0 1 0 0 36 52 64 0.6
+10 0 1 0 0 36 54 64 0.899999999999999
+10 0 1 0 0 36 56 64 1.2
+10 0 1 0 0 36 58 64 1.5
+10 0 1 0 0 36 60 64 1.8
+10 0 1 0 0 36 62 64 2.1
+10 0 1 0 0 36 64 64 2.4
+10 0 1 0 0 36 66 64 2.7
+10 0 1 0 0 36 68 64 3
+10 0 1 0 0 36 70 64 3.3
+10 0 1 0 0 36 72 64 3.6
+10 0 1 0 0 36 74 64 3.9
+10 0 1 0 0 36 76 64 4.2
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 1.35
+11 0 2 0 0 36 40 64 1.2
+11 0 2 0 0 36 41 64 1.05
+11 0 2 0 0 36 42 64 0.9
+11 0 2 0 0 36 43 64 0.75
+11 0 2 0 0 36 44 64 0.6
+11 0 2 0 0 36 45 64 0.45
+11 0 2 0 0 36 46 64 0.3
+11 0 2 0 0 36 47 64 0.15
+11 0 2 0 0 36 48 64 6.2803698347351e-16
+11 0 2 0 0 36 49 64 0.15
+11 0 2 0 0 36 50 64 0.3
+11 0 2 0 0 36 51 64 0.45
+11 0 2 0 0 36 52 64 0.6
+11 0 2 0 0 36 53 64 0.75
+11 0 2 0 0 36 54 64 0.899999999999999
+11 0 2 0 0 36 55 64 1.05
+11 0 2 0 0 36 56 64 1.2
+11 0 2 0 0 36 57 64 1.35
+11 0 2 0 0 36 58 64 1.5
+11 0 2 0 0 36 59 64 1.65
+11 0 2 0 0 36 60 64 1.8
+11 0 2 0 0 36 61 64 1.95
+11 0 2 0 0 36 62 64 2.1
+11 0 2 0 0 36 63 64 2.25
+11 0 2 0 0 36 64 64 2.4
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 1.35
+12 0 2 0 0 36 40 64 1.2
+12 0 2 0 0 36 41 64 1.05
+12 0 2 0 0 36 42 64 0.9
+12 0 2 0 0 36 43 64 0.75
+12 0 2 0 0 36 44 64 0.6
+12 0 2 0 0 36 45 64 0.45
+12 0 2 0 0 36 46 64 0.3
+12 0 2 0 0 36 47 64 0.15
+12 0 2 0 0 36 48 64 6.2803698347351e-16
+12 0 2 0 0 36 49 64 0.15
+12 0 2 0 0 36 50 64 0.3
+12 0 2 0 0 36 51 64 0.45
+12 0 2 0 0 36 52 64 0.6
+12 0 2 0 0 36 53 64 0.75
+12 0 2 0 0 36 54 64 0.899999999999999
+12 0 2 0 0 36 55 64 1.05
+12 0 2 0 0 36 56 64 1.2
+12 0 2 0 0 36 57 64 1.35
+12 0 2 0 0 36 58 64 1.5
+12 0 2 0 0 36 59 64 1.65
+12 0 2 0 0 36 60 64 1.8
+12 0 2 0 0 36 61 64 1.95
+12 0 2 0 0 36 62 64 2.1
+12 0 2 0 0 36 63 64 2.25
+12 0 2 0 0 36 64 64 2.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 3.3
+12 0 1 0 0 36 28 64 3
+12 0 1 0 0 36 30 64 2.7
+12 0 1 0 0 36 32 64 2.4
+12 0 1 0 0 36 34 64 2.1
+12 0 1 0 0 36 36 64 1.8
+12 0 1 0 0 36 38 64 1.5
+12 0 1 0 0 36 40 64 1.2
+12 0 1 0 0 36 42 64 0.9
+12 0 1 0 0 36 44 64 0.6
+12 0 1 0 0 36 46 64 0.3
+12 0 1 0 0 36 48 64 6.2803698347351e-16
+12 0 1 0 0 36 50 64 0.3
+12 0 1 0 0 36 52 64 0.6
+12 0 1 0 0 36 54 64 0.899999999999999
+12 0 1 0 0 36 56 64 1.2
+12 0 1 0 0 36 58 64 1.5
+12 0 1 0 0 36 60 64 1.8
+12 0 1 0 0 36 62 64 2.1
+12 0 1 0 0 36 64 64 2.4
+12 0 1 0 0 36 66 64 2.7
+12 0 1 0 0 36 68 64 3
+12 0 1 0 0 36 70 64 3.3
+12 0 1 0 0 36 72 64 3.6
+12 0 1 0 0 36 74 64 3.9
+12 0 1 0 0 36 76 64 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 7.2
+12 0 0 0 0 36 4 64 6.6
+12 0 0 0 0 36 8 64 6
+12 0 0 0 0 36 12 64 5.4
+12 0 0 0 0 36 16 64 4.8
+12 0 0 0 0 36 20 64 4.2
+12 0 0 0 0 36 24 64 3.6
+12 0 0 0 0 36 28 64 3
+12 0 0 0 0 36 32 64 2.4
+12 0 0 0 0 36 36 64 1.8
+12 0 0 0 0 36 40 64 1.2
+12 0 0 0 0 36 44 64 0.6
+12 0 0 0 0 36 48 64 6.2803698347351e-16
+12 0 0 0 0 36 52 64 0.6
+12 0 0 0 0 36 56 64 1.2
+12 0 0 0 0 36 60 64 1.8
+12 0 0 0 0 36 64 64 2.4
+12 0 0 0 0 36 68 64 3
+12 0 0 0 0 36 72 64 3.6
+12 0 0 0 0 36 76 64 4.2
+12 0 0 0 0 36 80 64 4.8
+12 0 0 0 0 36 84 64 5.4
+12 0 0 0 0 36 88 64 6
+12 0 0 0 0 36 92 64 6.6
+12 0 0 0 0 36 96 64 7.2
+12 0 0 0 0 36 100 64 7.8
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 1.35
+13 0 2 0 0 36 40 64 1.2
+13 0 2 0 0 36 41 64 1.05
+13 0 2 0 0 36 42 64 0.9
+13 0 2 0 0 36 43 64 0.75
+13 0 2 0 0 36 44 64 0.6
+13 0 2 0 0 36 45 64 0.45
+13 0 2 0 0 36 46 64 0.3
+13 0 2 0 0 36 47 64 0.15
+13 0 2 0 0 36 48 64 6.2803698347351e-16
+13 0 2 0 0 36 49 64 0.15
+13 0 2 0 0 36 50 64 0.3
+13 0 2 0 0 36 51 64 0.45
+13 0 2 0 0 36 52 64 0.6
+13 0 2 0 0 36 53 64 0.75
+13 0 2 0 0 36 54 64 0.899999999999999
+13 0 2 0 0 36 55 64 1.05
+13 0 2 0 0 36 56 64 1.2
+13 0 2 0 0 36 57 64 1.35
+13 0 2 0 0 36 58 64 1.5
+13 0 2 0 0 36 59 64 1.65
+13 0 2 0 0 36 60 64 1.8
+13 0 2 0 0 36 61 64 1.95
+13 0 2 0 0 36 62 64 2.1
+13 0 2 0 0 36 63 64 2.25
+13 0 2 0 0 36 64 64 2.4
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 1.35
+14 0 2 0 0 36 40 64 1.2
+14 0 2 0 0 36 41 64 1.05
+14 0 2 0 0 36 42 64 0.9
+14 0 2 0 0 36 43 64 0.75
+14 0 2 0 0 36 44 64 0.6
+14 0 2 0 0 36 45 64 0.45
+14 0 2 0 0 36 46 64 0.3
+14 0 2 0 0 36 47 64 0.15
+14 0 2 0 0 36 48 64 6.2803698347351e-16
+14 0 2 0 0 36 49 64 0.15
+14 0 2 0 0 36 50 64 0.3
+14 0 2 0 0 36 51 64 0.45
+14 0 2 0 0 36 52 64 0.6
+14 0 2 0 0 36 53 64 0.75
+14 0 2 0 0 36 54 64 0.899999999999999
+14 0 2 0 0 36 55 64 1.05
+14 0 2 0 0 36 56 64 1.2
+14 0 2 0 0 36 57 64 1.35
+14 0 2 0 0 36 58 64 1.5
+14 0 2 0 0 36 59 64 1.65
+14 0 2 0 0 36 60 64 1.8
+14 0 2 0 0 36 61 64 1.95
+14 0 2 0 0 36 62 64 2.1
+14 0 2 0 0 36 63 64 2.25
+14 0 2 0 0 36 64 64 2.4
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 3.3
+14 0 1 0 0 36 28 64 3
+14 0 1 0 0 36 30 64 2.7
+14 0 1 0 0 36 32 64 2.4
+14 0 1 0 0 36 34 64 2.1
+14 0 1 0 0 36 36 64 1.8
+14 0 1 0 0 36 38 64 1.5
+14 0 1 0 0 36 40 64 1.2
+14 0 1 0 0 36 42 64 0.9
+14 0 1 0 0 36 44 64 0.6
+14 0 1 0 0 36 46 64 0.3
+14 0 1 0 0 36 48 64 6.2803698347351e-16
+14 0 1 0 0 36 50 64 0.3
+14 0 1 0 0 36 52 64 0.6
+14 0 1 0 0 36 54 64 0.899999999999999
+14 0 1 0 0 36 56 64 1.2
+14 0 1 0 0 36 58 64 1.5
+14 0 1 0 0 36 60 64 1.8
+14 0 1 0 0 36 62 64 2.1
+14 0 1 0 0 36 64 64 2.4
+14 0 1 0 0 36 66 64 2.7
+14 0 1 0 0 36 68 64 3
+14 0 1 0 0 36 70 64 3.3
+14 0 1 0 0 36 72 64 3.6
+14 0 1 0 0 36 74 64 3.9
+14 0 1 0 0 36 76 64 4.2
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 1.35
+15 0 2 0 0 36 40 64 1.2
+15 0 2 0 0 36 41 64 1.05
+15 0 2 0 0 36 42 64 0.9
+15 0 2 0 0 36 43 64 0.75
+15 0 2 0 0 36 44 64 0.6
+15 0 2 0 0 36 45 64 0.45
+15 0 2 0 0 36 46 64 0.3
+15 0 2 0 0 36 47 64 0.15
+15 0 2 0 0 36 48 64 6.2803698347351e-16
+15 0 2 0 0 36 49 64 0.15
+15 0 2 0 0 36 50 64 0.3
+15 0 2 0 0 36 51 64 0.45
+15 0 2 0 0 36 52 64 0.6
+15 0 2 0 0 36 53 64 0.75
+15 0 2 0 0 36 54 64 0.899999999999999
+15 0 2 0 0 36 55 64 1.05
+15 0 2 0 0 36 56 64 1.2
+15 0 2 0 0 36 57 64 1.35
+15 0 2 0 0 36 58 64 1.5
+15 0 2 0 0 36 59 64 1.65
+15 0 2 0 0 36 60 64 1.8
+15 0 2 0 0 36 61 64 1.95
+15 0 2 0 0 36 62 64 2.1
+15 0 2 0 0 36 63 64 2.25
+15 0 2 0 0 36 64 64 2.4
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 1.35
+16 0 2 0 0 36 40 64 1.2
+16 0 2 0 0 36 41 64 1.05
+16 0 2 0 0 36 42 64 0.9
+16 0 2 0 0 36 43 64 0.75
+16 0 2 0 0 36 44 64 0.6
+16 0 2 0 0 36 45 64 0.45
+16 0 2 0 0 36 46 64 0.3
+16 0 2 0 0 36 47 64 0.15
+16 0 2 0 0 36 48 64 6.2803698347351e-16
+16 0 2 0 0 36 49 64 0.15
+16 0 2 0 0 36 50 64 0.3
+16 0 2 0 0 36 51 64 0.45
+16 0 2 0 0 36 52 64 0.6
+16 0 2 0 0 36 53 64 0.75
+16 0 2 0 0 36 54 64 0.899999999999999
+16 0 2 0 0 36 55 64 1.05
+16 0 2 0 0 36 56 64 1.2
+16 0 2 0 0 36 57 64 1.35
+16 0 2 0 0 36 58 64 1.5
+16 0 2 0 0 36 59 64 1.65
+16 0 2 0 0 36 60 64 1.8
+16 0 2 0 0 36 61 64 1.95
+16 0 2 0 0 36 62 64 2.1
+16 0 2 0 0 36 63 64 2.25
+16 0 2 0 0 36 64 64 2.4
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 3.3
+16 0 1 0 0 36 28 64 3
+16 0 1 0 0 36 30 64 2.7
+16 0 1 0 0 36 32 64 2.4
+16 0 1 0 0 36 34 64 2.1
+16 0 1 0 0 36 36 64 1.8
+16 0 1 0 0 36 38 64 1.5
+16 0 1 0 0 36 40 64 1.2
+16 0 1 0 0 36 42 64 0.9
+16 0 1 0 0 36 44 64 0.6
+16 0 1 0 0 36 46 64 0.3
+16 0 1 0 0 36 48 64 6.2803698347351e-16
+16 0 1 0 0 36 50 64 0.3
+16 0 1 0 0 36 52 64 0.6
+16 0 1 0 0 36 54 64 0.899999999999999
+16 0 1 0 0 36 56 64 1.2
+16 0 1 0 0 36 58 64 1.5
+16 0 1 0 0 36 60 64 1.8
+16 0 1 0 0 36 62 64 2.1
+16 0 1 0 0 36 64 64 2.4
+16 0 1 0 0 36 66 64 2.7
+16 0 1 0 0 36 68 64 3
+16 0 1 0 0 36 70 64 3.3
+16 0 1 0 0 36 72 64 3.6
+16 0 1 0 0 36 74 64 3.9
+16 0 1 0 0 36 76 64 4.2
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 7.2
+16 0 0 0 0 36 4 64 6.6
+16 0 0 0 0 36 8 64 6
+16 0 0 0 0 36 12 64 5.4
+16 0 0 0 0 36 16 64 4.8
+16 0 0 0 0 36 20 64 4.2
+16 0 0 0 0 36 24 64 3.6
+16 0 0 0 0 36 28 64 3
+16 0 0 0 0 36 32 64 2.4
+16 0 0 0 0 36 36 64 1.8
+16 0 0 0 0 36 40 64 1.2
+16 0 0 0 0 36 44 64 0.6
+16 0 0 0 0 36 48 64 6.2803698347351e-16
+16 0 0 0 0 36 52 64 0.6
+16 0 0 0 0 36 56 64 1.2
+16 0 0 0 0 36 60 64 1.8
+16 0 0 0 0 36 64 64 2.4
+16 0 0 0 0 36 68 64 3
+16 0 0 0 0 36 72 64 3.6
+16 0 0 0 0 36 76 64 4.2
+16 0 0 0 0 36 80 64 4.8
+16 0 0 0 0 36 84 64 5.4
+16 0 0 0 0 36 88 64 6
+16 0 0 0 0 36 92 64 6.6
+16 0 0 0 0 36 96 64 7.2
+16 0 0 0 0 36 100 64 7.8
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 1.35
+17 0 2 0 0 36 40 64 1.2
+17 0 2 0 0 36 41 64 1.05
+17 0 2 0 0 36 42 64 0.9
+17 0 2 0 0 36 43 64 0.75
+17 0 2 0 0 36 44 64 0.6
+17 0 2 0 0 36 45 64 0.45
+17 0 2 0 0 36 46 64 0.3
+17 0 2 0 0 36 47 64 0.15
+17 0 2 0 0 36 48 64 6.2803698347351e-16
+17 0 2 0 0 36 49 64 0.15
+17 0 2 0 0 36 50 64 0.3
+17 0 2 0 0 36 51 64 0.45
+17 0 2 0 0 36 52 64 0.6
+17 0 2 0 0 36 53 64 0.75
+17 0 2 0 0 36 54 64 0.899999999999999
+17 0 2 0 0 36 55 64 1.05
+17 0 2 0 0 36 56 64 1.2
+17 0 2 0 0 36 57 64 1.35
+17 0 2 0 0 36 58 64 1.5
+17 0 2 0 0 36 59 64 1.65
+17 0 2 0 0 36 60 64 1.8
+17 0 2 0 0 36 61 64 1.95
+17 0 2 0 0 36 62 64 2.1
+17 0 2 0 0 36 63 64 2.25
+17 0 2 0 0 36 64 64 2.4
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 1.35
+18 0 2 0 0 36 40 64 1.2
+18 0 2 0 0 36 41 64 1.05
+18 0 2 0 0 36 42 64 0.9
+18 0 2 0 0 36 43 64 0.75
+18 0 2 0 0 36 44 64 0.6
+18 0 2 0 0 36 45 64 0.45
+18 0 2 0 0 36 46 64 0.3
+18 0 2 0 0 36 47 64 0.15
+18 0 2 0 0 36 48 64 6.2803698347351e-16
+18 0 2 0 0 36 49 64 0.15
+18 0 2 0 0 36 50 64 0.3
+18 0 2 0 0 36 51 64 0.45
+18 0 2 0 0 36 52 64 0.6
+18 0 2 0 0 36 53 64 0.75
+18 0 2 0 0 36 54 64 0.899999999999999
+18 0 2 0 0 36 55 64 1.05
+18 0 2 0 0 36 56 64 1.2
+18 0 2 0 0 36 57 64 1.35
+18 0 2 0 0 36 58 64 1.5
+18 0 2 0 0 36 59 64 1.65
+18 0 2 0 0 36 60 64 1.8
+18 0 2 0 0 36 61 64 1.95
+18 0 2 0 0 36 62 64 2.1
+18 0 2 0 0 36 63 64 2.25
+18 0 2 0 0 36 64 64 2.4
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 3.3
+18 0 1 0 0 36 28 64 3
+18 0 1 0 0 36 30 64 2.7
+18 0 1 0 0 36 32 64 2.4
+18 0 1 0 0 36 34 64 2.1
+18 0 1 0 0 36 36 64 1.8
+18 0 1 0 0 36 38 64 1.5
+18 0 1 0 0 36 40 64 1.2
+18 0 1 0 0 36 42 64 0.9
+18 0 1 0 0 36 44 64 0.6
+18 0 1 0 0 36 46 64 0.3
+18 0 1 0 0 36 48 64 6.2803698347351e-16
+18 0 1 0 0 36 50 64 0.3
+18 0 1 0 0 36 52 64 0.6
+18 0 1 0 0 36 54 64 0.899999999999999
+18 0 1 0 0 36 56 64 1.2
+18 0 1 0 0 36 58 64 1.5
+18 0 1 0 0 36 60 64 1.8
+18 0 1 0 0 36 62 64 2.1
+18 0 1 0 0 36 64 64 2.4
+18 0 1 0 0 36 66 64 2.7
+18 0 1 0 0 36 68 64 3
+18 0 1 0 0 36 70 64 3.3
+18 0 1 0 0 36 72 64 3.6
+18 0 1 0 0 36 74 64 3.9
+18 0 1 0 0 36 76 64 4.2
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 1.35
+19 0 2 0 0 36 40 64 1.2
+19 0 2 0 0 36 41 64 1.05
+19 0 2 0 0 36 42 64 0.9
+19 0 2 0 0 36 43 64 0.75
+19 0 2 0 0 36 44 64 0.6
+19 0 2 0 0 36 45 64 0.45
+19 0 2 0 0 36 46 64 0.3
+19 0 2 0 0 36 47 64 0.15
+19 0 2 0 0 36 48 64 6.2803698347351e-16
+19 0 2 0 0 36 49 64 0.15
+19 0 2 0 0 36 50 64 0.3
+19 0 2 0 0 36 51 64 0.45
+19 0 2 0 0 36 52 64 0.6
+19 0 2 0 0 36 53 64 0.75
+19 0 2 0 0 36 54 64 0.899999999999999
+19 0 2 0 0 36 55 64 1.05
+19 0 2 0 0 36 56 64 1.2
+19 0 2 0 0 36 57 64 1.35
+19 0 2 0 0 36 58 64 1.5
+19 0 2 0 0 36 59 64 1.65
+19 0 2 0 0 36 60 64 1.8
+19 0 2 0 0 36 61 64 1.95
+19 0 2 0 0 36 62 64 2.1
+19 0 2 0 0 36 63 64 2.25
+19 0 2 0 0 36 64 64 2.4
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 1.35
+20 0 2 0 0 36 40 64 1.2
+20 0 2 0 0 36 41 64 1.05
+20 0 2 0 0 36 42 64 0.9
+20 0 2 0 0 36 43 64 0.75
+20 0 2 0 0 36 44 64 0.6
+20 0 2 0 0 36 45 64 0.45
+20 0 2 0 0 36 46 64 0.3
+20 0 2 0 0 36 47 64 0.15
+20 0 2 0 0 36 48 64 6.2803698347351e-16
+20 0 2 0 0 36 49 64 0.15
+20 0 2 0 0 36 50 64 0.3
+20 0 2 0 0 36 51 64 0.45
+20 0 2 0 0 36 52 64 0.6
+20 0 2 0 0 36 53 64 0.75
+20 0 2 0 0 36 54 64 0.899999999999999
+20 0 2 0 0 36 55 64 1.05
+20 0 2 0 0 36 56 64 1.2
+20 0 2 0 0 36 57 64 1.35
+20 0 2 0 0 36 58 64 1.5
+20 0 2 0 0 36 59 64 1.65
+20 0 2 0 0 36 60 64 1.8
+20 0 2 0 0 36 61 64 1.95
+20 0 2 0 0 36 62 64 2.1
+20 0 2 0 0 36 63 64 2.25
+20 0 2 0 0 36 64 64 2.4
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 3.3
+20 0 1 0 0 36 28 64 3
+20 0 1 0 0 36 30 64 2.7
+20 0 1 0 0 36 32 64 2.4
+20 0 1 0 0 36 34 64 2.1
+20 0 1 0 0 36 36 64 1.8
+20 0 1 0 0 36 38 64 1.5
+20 0 1 0 0 36 40 64 1.2
+20 0 1 0 0 36 42 64 0.9
+20 0 1 0 0 36 44 64 0.6
+20 0 1 0 0 36 46 64 0.3
+20 0 1 0 0 36 48 64 6.2803698347351e-16
+20 0 1 0 0 36 50 64 0.3
+20 0 1 0 0 36 52 64 0.6
+20 0 1 0 0 36 54 64 0.899999999999999
+20 0 1 0 0 36 56 64 1.2
+20 0 1 0 0 36 58 64 1.5
+20 0 1 0 0 36 60 64 1.8
+20 0 1 0 0 36 62 64 2.1
+20 0 1 0 0 36 64 64 2.4
+20 0 1 0 0 36 66 64 2.7
+20 0 1 0 0 36 68 64 3
+20 0 1 0 0 36 70 64 3.3
+20 0 1 0 0 36 72 64 3.6
+20 0 1 0 0 36 74 64 3.9
+20 0 1 0 0 36 76 64 4.2
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 7.2
+20 0 0 0 0 36 4 64 6.6
+20 0 0 0 0 36 8 64 6
+20 0 0 0 0 36 12 64 5.4
+20 0 0 0 0 36 16 64 4.8
+20 0 0 0 0 36 20 64 4.2
+20 0 0 0 0 36 24 64 3.6
+20 0 0 0 0 36 28 64 3
+20 0 0 0 0 36 32 64 2.4
+20 0 0 0 0 36 36 64 1.8
+20 0 0 0 0 36 40 64 1.2
+20 0 0 0 0 36 44 64 0.6
+20 0 0 0 0 36 48 64 6.2803698347351e-16
+20 0 0 0 0 36 52 64 0.6
+20 0 0 0 0 36 56 64 1.2
+20 0 0 0 0 36 60 64 1.8
+20 0 0 0 0 36 64 64 2.4
+20 0 0 0 0 36 68 64 3
+20 0 0 0 0 36 72 64 3.6
+20 0 0 0 0 36 76 64 4.2
+20 0 0 0 0 36 80 64 4.8
+20 0 0 0 0 36 84 64 5.4
+20 0 0 0 0 36 88 64 6
+20 0 0 0 0 36 92 64 6.6
+20 0 0 0 0 36 96 64 7.2
+20 0 0 0 0 36 100 64 7.8
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 1.35
+21 0 2 0 0 36 40 64 1.2
+21 0 2 0 0 36 41 64 1.05
+21 0 2 0 0 36 42 64 0.9
+21 0 2 0 0 36 43 64 0.75
+21 0 2 0 0 36 44 64 0.6
+21 0 2 0 0 36 45 64 0.45
+21 0 2 0 0 36 46 64 0.3
+21 0 2 0 0 36 47 64 0.15
+21 0 2 0 0 36 48 64 6.2803698347351e-16
+21 0 2 0 0 36 49 64 0.15
+21 0 2 0 0 36 50 64 0.3
+21 0 2 0 0 36 51 64 0.45
+21 0 2 0 0 36 52 64 0.6
+21 0 2 0 0 36 53 64 0.75
+21 0 2 0 0 36 54 64 0.899999999999999
+21 0 2 0 0 36 55 64 1.05
+21 0 2 0 0 36 56 64 1.2
+21 0 2 0 0 36 57 64 1.35
+21 0 2 0 0 36 58 64 1.5
+21 0 2 0 0 36 59 64 1.65
+21 0 2 0 0 36 60 64 1.8
+21 0 2 0 0 36 61 64 1.95
+21 0 2 0 0 36 62 64 2.1
+21 0 2 0 0 36 63 64 2.25
+21 0 2 0 0 36 64 64 2.4
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 1.35
+22 0 2 0 0 36 40 64 1.2
+22 0 2 0 0 36 41 64 1.05
+22 0 2 0 0 36 42 64 0.9
+22 0 2 0 0 36 43 64 0.75
+22 0 2 0 0 36 44 64 0.6
+22 0 2 0 0 36 45 64 0.45
+22 0 2 0 0 36 46 64 0.3
+22 0 2 0 0 36 47 64 0.15
+22 0 2 0 0 36 48 64 6.2803698347351e-16
+22 0 2 0 0 36 49 64 0.15
+22 0 2 0 0 36 50 64 0.3
+22 0 2 0 0 36 51 64 0.45
+22 0 2 0 0 36 52 64 0.6
+22 0 2 0 0 36 53 64 0.75
+22 0 2 0 0 36 54 64 0.899999999999999
+22 0 2 0 0 36 55 64 1.05
+22 0 2 0 0 36 56 64 1.2
+22 0 2 0 0 36 57 64 1.35
+22 0 2 0 0 36 58 64 1.5
+22 0 2 0 0 36 59 64 1.65
+22 0 2 0 0 36 60 64 1.8
+22 0 2 0 0 36 61 64 1.95
+22 0 2 0 0 36 62 64 2.1
+22 0 2 0 0 36 63 64 2.25
+22 0 2 0 0 36 64 64 2.4
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 3.3
+22 0 1 0 0 36 28 64 3
+22 0 1 0 0 36 30 64 2.7
+22 0 1 0 0 36 32 64 2.4
+22 0 1 0 0 36 34 64 2.1
+22 0 1 0 0 36 36 64 1.8
+22 0 1 0 0 36 38 64 1.5
+22 0 1 0 0 36 40 64 1.2
+22 0 1 0 0 36 42 64 0.9
+22 0 1 0 0 36 44 64 0.6
+22 0 1 0 0 36 46 64 0.3
+22 0 1 0 0 36 48 64 6.2803698347351e-16
+22 0 1 0 0 36 50 64 0.3
+22 0 1 0 0 36 52 64 0.6
+22 0 1 0 0 36 54 64 0.899999999999999
+22 0 1 0 0 36 56 64 1.2
+22 0 1 0 0 36 58 64 1.5
+22 0 1 0 0 36 60 64 1.8
+22 0 1 0 0 36 62 64 2.1
+22 0 1 0 0 36 64 64 2.4
+22 0 1 0 0 36 66 64 2.7
+22 0 1 0 0 36 68 64 3
+22 0 1 0 0 36 70 64 3.3
+22 0 1 0 0 36 72 64 3.6
+22 0 1 0 0 36 74 64 3.9
+22 0 1 0 0 36 76 64 4.2
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 1.35
+23 0 2 0 0 36 40 64 1.2
+23 0 2 0 0 36 41 64 1.05
+23 0 2 0 0 36 42 64 0.9
+23 0 2 0 0 36 43 64 0.75
+23 0 2 0 0 36 44 64 0.6
+23 0 2 0 0 36 45 64 0.45
+23 0 2 0 0 36 46 64 0.3
+23 0 2 0 0 36 47 64 0.15
+23 0 2 0 0 36 48 64 6.2803698347351e-16
+23 0 2 0 0 36 49 64 0.15
+23 0 2 0 0 36 50 64 0.3
+23 0 2 0 0 36 51 64 0.45
+23 0 2 0 0 36 52 64 0.6
+23 0 2 0 0 36 53 64 0.75
+23 0 2 0 0 36 54 64 0.899999999999999
+23 0 2 0 0 36 55 64 1.05
+23 0 2 0 0 36 56 64 1.2
+23 0 2 0 0 36 57 64 1.35
+23 0 2 0 0 36 58 64 1.5
+23 0 2 0 0 36 59 64 1.65
+23 0 2 0 0 36 60 64 1.8
+23 0 2 0 0 36 61 64 1.95
+23 0 2 0 0 36 62 64 2.1
+23 0 2 0 0 36 63 64 2.25
+23 0 2 0 0 36 64 64 2.4
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 1.35
+24 0 2 0 0 36 40 64 1.2
+24 0 2 0 0 36 41 64 1.05
+24 0 2 0 0 36 42 64 0.9
+24 0 2 0 0 36 43 64 0.75
+24 0 2 0 0 36 44 64 0.6
+24 0 2 0 0 36 45 64 0.45
+24 0 2 0 0 36 46 64 0.3
+24 0 2 0 0 36 47 64 0.15
+24 0 2 0 0 36 48 64 6.2803698347351e-16
+24 0 2 0 0 36 49 64 0.15
+24 0 2 0 0 36 50 64 0.3
+24 0 2 0 0 36 51 64 0.45
+24 0 2 0 0 36 52 64 0.6
+24 0 2 0 0 36 53 64 0.75
+24 0 2 0 0 36 54 64 0.899999999999999
+24 0 2 0 0 36 55 64 1.05
+24 0 2 0 0 36 56 64 1.2
+24 0 2 0 0 36 57 64 1.35
+24 0 2 0 0 36 58 64 1.5
+24 0 2 0 0 36 59 64 1.65
+24 0 2 0 0 36 60 64 1.8
+24 0 2 0 0 36 61 64 1.95
+24 0 2 0 0 36 62 64 2.1
+24 0 2 0 0 36 63 64 2.25
+24 0 2 0 0 36 64 64 2.4
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 3.3
+24 0 1 0 0 36 28 64 3
+24 0 1 0 0 36 30 64 2.7
+24 0 1 0 0 36 32 64 2.4
+24 0 1 0 0 36 34 64 2.1
+24 0 1 0 0 36 36 64 1.8
+24 0 1 0 0 36 38 64 1.5
+24 0 1 0 0 36 40 64 1.2
+24 0 1 0 0 36 42 64 0.9
+24 0 1 0 0 36 44 64 0.6
+24 0 1 0 0 36 46 64 0.3
+24 0 1 0 0 36 48 64 6.2803698347351e-16
+24 0 1 0 0 36 50 64 0.3
+24 0 1 0 0 36 52 64 0.6
+24 0 1 0 0 36 54 64 0.899999999999999
+24 0 1 0 0 36 56 64 1.2
+24 0 1 0 0 36 58 64 1.5
+24 0 1 0 0 36 60 64 1.8
+24 0 1 0 0 36 62 64 2.1
+24 0 1 0 0 36 64 64 2.4
+24 0 1 0 0 36 66 64 2.7
+24 0 1 0 0 36 68 64 3
+24 0 1 0 0 36 70 64 3.3
+24 0 1 0 0 36 72 64 3.6
+24 0 1 0 0 36 74 64 3.9
+24 0 1 0 0 36 76 64 4.2
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 7.2
+24 0 0 0 0 36 4 64 6.6
+24 0 0 0 0 36 8 64 6
+24 0 0 0 0 36 12 64 5.4
+24 0 0 0 0 36 16 64 4.8
+24 0 0 0 0 36 20 64 4.2
+24 0 0 0 0 36 24 64 3.6
+24 0 0 0 0 36 28 64 3
+24 0 0 0 0 36 32 64 2.4
+24 0 0 0 0 36 36 64 1.8
+24 0 0 0 0 36 40 64 1.2
+24 0 0 0 0 36 44 64 0.6
+24 0 0 0 0 36 48 64 6.2803698347351e-16
+24 0 0 0 0 36 52 64 0.6
+24 0 0 0 0 36 56 64 1.2
+24 0 0 0 0 36 60 64 1.8
+24 0 0 0 0 36 64 64 2.4
+24 0 0 0 0 36 68 64 3
+24 0 0 0 0 36 72 64 3.6
+24 0 0 0 0 36 76 64 4.2
+24 0 0 0 0 36 80 64 4.8
+24 0 0 0 0 36 84 64 5.4
+24 0 0 0 0 36 88 64 6
+24 0 0 0 0 36 92 64 6.6
+24 0 0 0 0 36 96 64 7.2
+24 0 0 0 0 36 100 64 7.8
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/spher3d_r.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/spher3d_r.zl
new file mode 100644
index 000000000..6577f6504
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/spher3d_r.zl
@@ -0,0 +1,1757 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 1.95
+0 0 2 0 0 36 48 52 1.8
+0 0 2 0 0 36 48 53 1.65
+0 0 2 0 0 36 48 54 1.5
+0 0 2 0 0 36 48 55 1.35
+0 0 2 0 0 36 48 56 1.2
+0 0 2 0 0 36 48 57 1.05
+0 0 2 0 0 36 48 58 0.9
+0 0 2 0 0 36 48 59 0.75
+0 0 2 0 0 36 48 60 0.6
+0 0 2 0 0 36 48 61 0.45
+0 0 2 0 0 36 48 62 0.3
+0 0 2 0 0 36 48 63 0.15
+0 0 2 0 0 36 48 64 6.2803698347351e-16
+0 0 2 0 0 36 48 65 0.15
+0 0 2 0 0 36 48 66 0.3
+0 0 2 0 0 36 48 67 0.45
+0 0 2 0 0 36 48 68 0.6
+0 0 2 0 0 36 48 69 0.75
+0 0 2 0 0 36 48 70 0.9
+0 0 2 0 0 36 48 71 1.05
+0 0 2 0 0 36 48 72 1.2
+0 0 2 0 0 36 48 73 1.35
+0 0 2 0 0 36 48 74 1.5
+0 0 2 0 0 36 48 75 1.65
+0 0 2 0 0 36 48 76 1.8
+0 0 2 0 0 36 48 77 1.95
+0 0 2 0 0 36 48 78 2.1
+0 0 2 0 0 36 48 79 2.25
+0 0 2 0 0 36 48 80 2.4
+0 0 2 0 0 36 48 81 2.55
+0 0 2 0 0 36 48 82 2.7
+0 0 2 0 0 36 48 83 2.85
+0 0 2 0 0 36 48 84 3
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 4.5
+0 0 1 0 0 36 48 36 4.2
+0 0 1 0 0 36 48 38 3.9
+0 0 1 0 0 36 48 40 3.6
+0 0 1 0 0 36 48 42 3.3
+0 0 1 0 0 36 48 44 3
+0 0 1 0 0 36 48 46 2.7
+0 0 1 0 0 36 48 48 2.4
+0 0 1 0 0 36 48 50 2.1
+0 0 1 0 0 36 48 52 1.8
+0 0 1 0 0 36 48 54 1.5
+0 0 1 0 0 36 48 56 1.2
+0 0 1 0 0 36 48 58 0.9
+0 0 1 0 0 36 48 60 0.6
+0 0 1 0 0 36 48 62 0.3
+0 0 1 0 0 36 48 64 6.2803698347351e-16
+0 0 1 0 0 36 48 66 0.3
+0 0 1 0 0 36 48 68 0.6
+0 0 1 0 0 36 48 70 0.9
+0 0 1 0 0 36 48 72 1.2
+0 0 1 0 0 36 48 74 1.5
+0 0 1 0 0 36 48 76 1.8
+0 0 1 0 0 36 48 78 2.1
+0 0 1 0 0 36 48 80 2.4
+0 0 1 0 0 36 48 82 2.7
+0 0 1 0 0 36 48 84 3
+0 0 1 0 0 36 48 86 3.3
+0 0 1 0 0 36 48 88 3.6
+0 0 1 0 0 36 48 90 3.9
+0 0 1 0 0 36 48 92 4.2
+0 0 1 0 0 36 48 94 4.5
+0 0 1 0 0 36 48 96 4.8
+0 0 1 0 0 36 48 98 5.1
+0 0 1 0 0 36 48 100 5.4
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 9.6
+0 0 0 0 0 36 48 4 9
+0 0 0 0 0 36 48 8 8.4
+0 0 0 0 0 36 48 12 7.8
+0 0 0 0 0 36 48 16 7.2
+0 0 0 0 0 36 48 20 6.6
+0 0 0 0 0 36 48 24 6
+0 0 0 0 0 36 48 28 5.4
+0 0 0 0 0 36 48 32 4.8
+0 0 0 0 0 36 48 36 4.2
+0 0 0 0 0 36 48 40 3.6
+0 0 0 0 0 36 48 44 3
+0 0 0 0 0 36 48 48 2.4
+0 0 0 0 0 36 48 52 1.8
+0 0 0 0 0 36 48 56 1.2
+0 0 0 0 0 36 48 60 0.6
+0 0 0 0 0 36 48 64 6.2803698347351e-16
+0 0 0 0 0 36 48 68 0.6
+0 0 0 0 0 36 48 72 1.2
+0 0 0 0 0 36 48 76 1.8
+0 0 0 0 0 36 48 80 2.4
+0 0 0 0 0 36 48 84 3
+0 0 0 0 0 36 48 88 3.6
+0 0 0 0 0 36 48 92 4.2
+0 0 0 0 0 36 48 96 4.8
+0 0 0 0 0 36 48 100 5.4
+0 0 0 0 0 36 48 104 6
+0 0 0 0 0 36 48 108 6.6
+0 0 0 0 0 36 48 112 7.2
+0 0 0 0 0 36 48 116 7.8
+0 0 0 0 0 36 48 120 8.4
+0 0 0 0 0 36 48 124 9
+0 0 0 0 0 36 48 128 9.6
+0 0 0 0 0 36 48 132 10.2
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 1.95
+1 0 2 0 0 36 48 52 1.8
+1 0 2 0 0 36 48 53 1.65
+1 0 2 0 0 36 48 54 1.5
+1 0 2 0 0 36 48 55 1.35
+1 0 2 0 0 36 48 56 1.2
+1 0 2 0 0 36 48 57 1.05
+1 0 2 0 0 36 48 58 0.9
+1 0 2 0 0 36 48 59 0.75
+1 0 2 0 0 36 48 60 0.6
+1 0 2 0 0 36 48 61 0.45
+1 0 2 0 0 36 48 62 0.3
+1 0 2 0 0 36 48 63 0.15
+1 0 2 0 0 36 48 64 6.2803698347351e-16
+1 0 2 0 0 36 48 65 0.15
+1 0 2 0 0 36 48 66 0.3
+1 0 2 0 0 36 48 67 0.45
+1 0 2 0 0 36 48 68 0.6
+1 0 2 0 0 36 48 69 0.75
+1 0 2 0 0 36 48 70 0.9
+1 0 2 0 0 36 48 71 1.05
+1 0 2 0 0 36 48 72 1.2
+1 0 2 0 0 36 48 73 1.35
+1 0 2 0 0 36 48 74 1.5
+1 0 2 0 0 36 48 75 1.65
+1 0 2 0 0 36 48 76 1.8
+1 0 2 0 0 36 48 77 1.95
+1 0 2 0 0 36 48 78 2.1
+1 0 2 0 0 36 48 79 2.25
+1 0 2 0 0 36 48 80 2.4
+1 0 2 0 0 36 48 81 2.55
+1 0 2 0 0 36 48 82 2.7
+1 0 2 0 0 36 48 83 2.85
+1 0 2 0 0 36 48 84 3
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 1.95
+2 0 2 0 0 36 48 52 1.8
+2 0 2 0 0 36 48 53 1.65
+2 0 2 0 0 36 48 54 1.5
+2 0 2 0 0 36 48 55 1.35
+2 0 2 0 0 36 48 56 1.2
+2 0 2 0 0 36 48 57 1.05
+2 0 2 0 0 36 48 58 0.9
+2 0 2 0 0 36 48 59 0.75
+2 0 2 0 0 36 48 60 0.6
+2 0 2 0 0 36 48 61 0.45
+2 0 2 0 0 36 48 62 0.3
+2 0 2 0 0 36 48 63 0.15
+2 0 2 0 0 36 48 64 6.2803698347351e-16
+2 0 2 0 0 36 48 65 0.15
+2 0 2 0 0 36 48 66 0.3
+2 0 2 0 0 36 48 67 0.45
+2 0 2 0 0 36 48 68 0.6
+2 0 2 0 0 36 48 69 0.75
+2 0 2 0 0 36 48 70 0.9
+2 0 2 0 0 36 48 71 1.05
+2 0 2 0 0 36 48 72 1.2
+2 0 2 0 0 36 48 73 1.35
+2 0 2 0 0 36 48 74 1.5
+2 0 2 0 0 36 48 75 1.65
+2 0 2 0 0 36 48 76 1.8
+2 0 2 0 0 36 48 77 1.95
+2 0 2 0 0 36 48 78 2.1
+2 0 2 0 0 36 48 79 2.25
+2 0 2 0 0 36 48 80 2.4
+2 0 2 0 0 36 48 81 2.55
+2 0 2 0 0 36 48 82 2.7
+2 0 2 0 0 36 48 83 2.85
+2 0 2 0 0 36 48 84 3
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 4.5
+2 0 1 0 0 36 48 36 4.2
+2 0 1 0 0 36 48 38 3.9
+2 0 1 0 0 36 48 40 3.6
+2 0 1 0 0 36 48 42 3.3
+2 0 1 0 0 36 48 44 3
+2 0 1 0 0 36 48 46 2.7
+2 0 1 0 0 36 48 48 2.4
+2 0 1 0 0 36 48 50 2.1
+2 0 1 0 0 36 48 52 1.8
+2 0 1 0 0 36 48 54 1.5
+2 0 1 0 0 36 48 56 1.2
+2 0 1 0 0 36 48 58 0.9
+2 0 1 0 0 36 48 60 0.6
+2 0 1 0 0 36 48 62 0.3
+2 0 1 0 0 36 48 64 6.2803698347351e-16
+2 0 1 0 0 36 48 66 0.3
+2 0 1 0 0 36 48 68 0.6
+2 0 1 0 0 36 48 70 0.9
+2 0 1 0 0 36 48 72 1.2
+2 0 1 0 0 36 48 74 1.5
+2 0 1 0 0 36 48 76 1.8
+2 0 1 0 0 36 48 78 2.1
+2 0 1 0 0 36 48 80 2.4
+2 0 1 0 0 36 48 82 2.7
+2 0 1 0 0 36 48 84 3
+2 0 1 0 0 36 48 86 3.3
+2 0 1 0 0 36 48 88 3.6
+2 0 1 0 0 36 48 90 3.9
+2 0 1 0 0 36 48 92 4.2
+2 0 1 0 0 36 48 94 4.5
+2 0 1 0 0 36 48 96 4.8
+2 0 1 0 0 36 48 98 5.1
+2 0 1 0 0 36 48 100 5.4
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 1.95
+3 0 2 0 0 36 48 52 1.8
+3 0 2 0 0 36 48 53 1.65
+3 0 2 0 0 36 48 54 1.5
+3 0 2 0 0 36 48 55 1.35
+3 0 2 0 0 36 48 56 1.2
+3 0 2 0 0 36 48 57 1.05
+3 0 2 0 0 36 48 58 0.9
+3 0 2 0 0 36 48 59 0.75
+3 0 2 0 0 36 48 60 0.6
+3 0 2 0 0 36 48 61 0.45
+3 0 2 0 0 36 48 62 0.3
+3 0 2 0 0 36 48 63 0.15
+3 0 2 0 0 36 48 64 6.2803698347351e-16
+3 0 2 0 0 36 48 65 0.15
+3 0 2 0 0 36 48 66 0.3
+3 0 2 0 0 36 48 67 0.45
+3 0 2 0 0 36 48 68 0.6
+3 0 2 0 0 36 48 69 0.75
+3 0 2 0 0 36 48 70 0.9
+3 0 2 0 0 36 48 71 1.05
+3 0 2 0 0 36 48 72 1.2
+3 0 2 0 0 36 48 73 1.35
+3 0 2 0 0 36 48 74 1.5
+3 0 2 0 0 36 48 75 1.65
+3 0 2 0 0 36 48 76 1.8
+3 0 2 0 0 36 48 77 1.95
+3 0 2 0 0 36 48 78 2.1
+3 0 2 0 0 36 48 79 2.25
+3 0 2 0 0 36 48 80 2.4
+3 0 2 0 0 36 48 81 2.55
+3 0 2 0 0 36 48 82 2.7
+3 0 2 0 0 36 48 83 2.85
+3 0 2 0 0 36 48 84 3
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 1.95
+4 0 2 0 0 36 48 52 1.8
+4 0 2 0 0 36 48 53 1.65
+4 0 2 0 0 36 48 54 1.5
+4 0 2 0 0 36 48 55 1.35
+4 0 2 0 0 36 48 56 1.2
+4 0 2 0 0 36 48 57 1.05
+4 0 2 0 0 36 48 58 0.9
+4 0 2 0 0 36 48 59 0.75
+4 0 2 0 0 36 48 60 0.6
+4 0 2 0 0 36 48 61 0.45
+4 0 2 0 0 36 48 62 0.3
+4 0 2 0 0 36 48 63 0.15
+4 0 2 0 0 36 48 64 6.2803698347351e-16
+4 0 2 0 0 36 48 65 0.15
+4 0 2 0 0 36 48 66 0.3
+4 0 2 0 0 36 48 67 0.45
+4 0 2 0 0 36 48 68 0.6
+4 0 2 0 0 36 48 69 0.75
+4 0 2 0 0 36 48 70 0.9
+4 0 2 0 0 36 48 71 1.05
+4 0 2 0 0 36 48 72 1.2
+4 0 2 0 0 36 48 73 1.35
+4 0 2 0 0 36 48 74 1.5
+4 0 2 0 0 36 48 75 1.65
+4 0 2 0 0 36 48 76 1.8
+4 0 2 0 0 36 48 77 1.95
+4 0 2 0 0 36 48 78 2.1
+4 0 2 0 0 36 48 79 2.25
+4 0 2 0 0 36 48 80 2.4
+4 0 2 0 0 36 48 81 2.55
+4 0 2 0 0 36 48 82 2.7
+4 0 2 0 0 36 48 83 2.85
+4 0 2 0 0 36 48 84 3
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 4.5
+4 0 1 0 0 36 48 36 4.2
+4 0 1 0 0 36 48 38 3.9
+4 0 1 0 0 36 48 40 3.6
+4 0 1 0 0 36 48 42 3.3
+4 0 1 0 0 36 48 44 3
+4 0 1 0 0 36 48 46 2.7
+4 0 1 0 0 36 48 48 2.4
+4 0 1 0 0 36 48 50 2.1
+4 0 1 0 0 36 48 52 1.8
+4 0 1 0 0 36 48 54 1.5
+4 0 1 0 0 36 48 56 1.2
+4 0 1 0 0 36 48 58 0.9
+4 0 1 0 0 36 48 60 0.6
+4 0 1 0 0 36 48 62 0.3
+4 0 1 0 0 36 48 64 6.2803698347351e-16
+4 0 1 0 0 36 48 66 0.3
+4 0 1 0 0 36 48 68 0.6
+4 0 1 0 0 36 48 70 0.9
+4 0 1 0 0 36 48 72 1.2
+4 0 1 0 0 36 48 74 1.5
+4 0 1 0 0 36 48 76 1.8
+4 0 1 0 0 36 48 78 2.1
+4 0 1 0 0 36 48 80 2.4
+4 0 1 0 0 36 48 82 2.7
+4 0 1 0 0 36 48 84 3
+4 0 1 0 0 36 48 86 3.3
+4 0 1 0 0 36 48 88 3.6
+4 0 1 0 0 36 48 90 3.9
+4 0 1 0 0 36 48 92 4.2
+4 0 1 0 0 36 48 94 4.5
+4 0 1 0 0 36 48 96 4.8
+4 0 1 0 0 36 48 98 5.1
+4 0 1 0 0 36 48 100 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 9.6
+4 0 0 0 0 36 48 4 9
+4 0 0 0 0 36 48 8 8.4
+4 0 0 0 0 36 48 12 7.8
+4 0 0 0 0 36 48 16 7.2
+4 0 0 0 0 36 48 20 6.6
+4 0 0 0 0 36 48 24 6
+4 0 0 0 0 36 48 28 5.4
+4 0 0 0 0 36 48 32 4.8
+4 0 0 0 0 36 48 36 4.2
+4 0 0 0 0 36 48 40 3.6
+4 0 0 0 0 36 48 44 3
+4 0 0 0 0 36 48 48 2.4
+4 0 0 0 0 36 48 52 1.8
+4 0 0 0 0 36 48 56 1.2
+4 0 0 0 0 36 48 60 0.6
+4 0 0 0 0 36 48 64 6.2803698347351e-16
+4 0 0 0 0 36 48 68 0.6
+4 0 0 0 0 36 48 72 1.2
+4 0 0 0 0 36 48 76 1.8
+4 0 0 0 0 36 48 80 2.4
+4 0 0 0 0 36 48 84 3
+4 0 0 0 0 36 48 88 3.6
+4 0 0 0 0 36 48 92 4.2
+4 0 0 0 0 36 48 96 4.8
+4 0 0 0 0 36 48 100 5.4
+4 0 0 0 0 36 48 104 6
+4 0 0 0 0 36 48 108 6.6
+4 0 0 0 0 36 48 112 7.2
+4 0 0 0 0 36 48 116 7.8
+4 0 0 0 0 36 48 120 8.4
+4 0 0 0 0 36 48 124 9
+4 0 0 0 0 36 48 128 9.6
+4 0 0 0 0 36 48 132 10.2
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 1.95
+5 0 2 0 0 36 48 52 1.8
+5 0 2 0 0 36 48 53 1.65
+5 0 2 0 0 36 48 54 1.5
+5 0 2 0 0 36 48 55 1.35
+5 0 2 0 0 36 48 56 1.2
+5 0 2 0 0 36 48 57 1.05
+5 0 2 0 0 36 48 58 0.9
+5 0 2 0 0 36 48 59 0.75
+5 0 2 0 0 36 48 60 0.6
+5 0 2 0 0 36 48 61 0.45
+5 0 2 0 0 36 48 62 0.3
+5 0 2 0 0 36 48 63 0.15
+5 0 2 0 0 36 48 64 6.2803698347351e-16
+5 0 2 0 0 36 48 65 0.15
+5 0 2 0 0 36 48 66 0.3
+5 0 2 0 0 36 48 67 0.45
+5 0 2 0 0 36 48 68 0.6
+5 0 2 0 0 36 48 69 0.75
+5 0 2 0 0 36 48 70 0.9
+5 0 2 0 0 36 48 71 1.05
+5 0 2 0 0 36 48 72 1.2
+5 0 2 0 0 36 48 73 1.35
+5 0 2 0 0 36 48 74 1.5
+5 0 2 0 0 36 48 75 1.65
+5 0 2 0 0 36 48 76 1.8
+5 0 2 0 0 36 48 77 1.95
+5 0 2 0 0 36 48 78 2.1
+5 0 2 0 0 36 48 79 2.25
+5 0 2 0 0 36 48 80 2.4
+5 0 2 0 0 36 48 81 2.55
+5 0 2 0 0 36 48 82 2.7
+5 0 2 0 0 36 48 83 2.85
+5 0 2 0 0 36 48 84 3
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 1.95
+6 0 2 0 0 36 48 52 1.8
+6 0 2 0 0 36 48 53 1.65
+6 0 2 0 0 36 48 54 1.5
+6 0 2 0 0 36 48 55 1.35
+6 0 2 0 0 36 48 56 1.2
+6 0 2 0 0 36 48 57 1.05
+6 0 2 0 0 36 48 58 0.9
+6 0 2 0 0 36 48 59 0.75
+6 0 2 0 0 36 48 60 0.6
+6 0 2 0 0 36 48 61 0.45
+6 0 2 0 0 36 48 62 0.3
+6 0 2 0 0 36 48 63 0.15
+6 0 2 0 0 36 48 64 6.2803698347351e-16
+6 0 2 0 0 36 48 65 0.15
+6 0 2 0 0 36 48 66 0.3
+6 0 2 0 0 36 48 67 0.45
+6 0 2 0 0 36 48 68 0.6
+6 0 2 0 0 36 48 69 0.75
+6 0 2 0 0 36 48 70 0.9
+6 0 2 0 0 36 48 71 1.05
+6 0 2 0 0 36 48 72 1.2
+6 0 2 0 0 36 48 73 1.35
+6 0 2 0 0 36 48 74 1.5
+6 0 2 0 0 36 48 75 1.65
+6 0 2 0 0 36 48 76 1.8
+6 0 2 0 0 36 48 77 1.95
+6 0 2 0 0 36 48 78 2.1
+6 0 2 0 0 36 48 79 2.25
+6 0 2 0 0 36 48 80 2.4
+6 0 2 0 0 36 48 81 2.55
+6 0 2 0 0 36 48 82 2.7
+6 0 2 0 0 36 48 83 2.85
+6 0 2 0 0 36 48 84 3
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 4.5
+6 0 1 0 0 36 48 36 4.2
+6 0 1 0 0 36 48 38 3.9
+6 0 1 0 0 36 48 40 3.6
+6 0 1 0 0 36 48 42 3.3
+6 0 1 0 0 36 48 44 3
+6 0 1 0 0 36 48 46 2.7
+6 0 1 0 0 36 48 48 2.4
+6 0 1 0 0 36 48 50 2.1
+6 0 1 0 0 36 48 52 1.8
+6 0 1 0 0 36 48 54 1.5
+6 0 1 0 0 36 48 56 1.2
+6 0 1 0 0 36 48 58 0.9
+6 0 1 0 0 36 48 60 0.6
+6 0 1 0 0 36 48 62 0.3
+6 0 1 0 0 36 48 64 6.2803698347351e-16
+6 0 1 0 0 36 48 66 0.3
+6 0 1 0 0 36 48 68 0.6
+6 0 1 0 0 36 48 70 0.9
+6 0 1 0 0 36 48 72 1.2
+6 0 1 0 0 36 48 74 1.5
+6 0 1 0 0 36 48 76 1.8
+6 0 1 0 0 36 48 78 2.1
+6 0 1 0 0 36 48 80 2.4
+6 0 1 0 0 36 48 82 2.7
+6 0 1 0 0 36 48 84 3
+6 0 1 0 0 36 48 86 3.3
+6 0 1 0 0 36 48 88 3.6
+6 0 1 0 0 36 48 90 3.9
+6 0 1 0 0 36 48 92 4.2
+6 0 1 0 0 36 48 94 4.5
+6 0 1 0 0 36 48 96 4.8
+6 0 1 0 0 36 48 98 5.1
+6 0 1 0 0 36 48 100 5.4
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 1.95
+7 0 2 0 0 36 48 52 1.8
+7 0 2 0 0 36 48 53 1.65
+7 0 2 0 0 36 48 54 1.5
+7 0 2 0 0 36 48 55 1.35
+7 0 2 0 0 36 48 56 1.2
+7 0 2 0 0 36 48 57 1.05
+7 0 2 0 0 36 48 58 0.9
+7 0 2 0 0 36 48 59 0.75
+7 0 2 0 0 36 48 60 0.6
+7 0 2 0 0 36 48 61 0.45
+7 0 2 0 0 36 48 62 0.3
+7 0 2 0 0 36 48 63 0.15
+7 0 2 0 0 36 48 64 6.2803698347351e-16
+7 0 2 0 0 36 48 65 0.15
+7 0 2 0 0 36 48 66 0.3
+7 0 2 0 0 36 48 67 0.45
+7 0 2 0 0 36 48 68 0.6
+7 0 2 0 0 36 48 69 0.75
+7 0 2 0 0 36 48 70 0.9
+7 0 2 0 0 36 48 71 1.05
+7 0 2 0 0 36 48 72 1.2
+7 0 2 0 0 36 48 73 1.35
+7 0 2 0 0 36 48 74 1.5
+7 0 2 0 0 36 48 75 1.65
+7 0 2 0 0 36 48 76 1.8
+7 0 2 0 0 36 48 77 1.95
+7 0 2 0 0 36 48 78 2.1
+7 0 2 0 0 36 48 79 2.25
+7 0 2 0 0 36 48 80 2.4
+7 0 2 0 0 36 48 81 2.55
+7 0 2 0 0 36 48 82 2.7
+7 0 2 0 0 36 48 83 2.85
+7 0 2 0 0 36 48 84 3
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 1.95
+8 0 2 0 0 36 48 52 1.8
+8 0 2 0 0 36 48 53 1.65
+8 0 2 0 0 36 48 54 1.5
+8 0 2 0 0 36 48 55 1.35
+8 0 2 0 0 36 48 56 1.2
+8 0 2 0 0 36 48 57 1.05
+8 0 2 0 0 36 48 58 0.9
+8 0 2 0 0 36 48 59 0.75
+8 0 2 0 0 36 48 60 0.6
+8 0 2 0 0 36 48 61 0.45
+8 0 2 0 0 36 48 62 0.3
+8 0 2 0 0 36 48 63 0.15
+8 0 2 0 0 36 48 64 6.2803698347351e-16
+8 0 2 0 0 36 48 65 0.15
+8 0 2 0 0 36 48 66 0.3
+8 0 2 0 0 36 48 67 0.45
+8 0 2 0 0 36 48 68 0.6
+8 0 2 0 0 36 48 69 0.75
+8 0 2 0 0 36 48 70 0.9
+8 0 2 0 0 36 48 71 1.05
+8 0 2 0 0 36 48 72 1.2
+8 0 2 0 0 36 48 73 1.35
+8 0 2 0 0 36 48 74 1.5
+8 0 2 0 0 36 48 75 1.65
+8 0 2 0 0 36 48 76 1.8
+8 0 2 0 0 36 48 77 1.95
+8 0 2 0 0 36 48 78 2.1
+8 0 2 0 0 36 48 79 2.25
+8 0 2 0 0 36 48 80 2.4
+8 0 2 0 0 36 48 81 2.55
+8 0 2 0 0 36 48 82 2.7
+8 0 2 0 0 36 48 83 2.85
+8 0 2 0 0 36 48 84 3
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 4.5
+8 0 1 0 0 36 48 36 4.2
+8 0 1 0 0 36 48 38 3.9
+8 0 1 0 0 36 48 40 3.6
+8 0 1 0 0 36 48 42 3.3
+8 0 1 0 0 36 48 44 3
+8 0 1 0 0 36 48 46 2.7
+8 0 1 0 0 36 48 48 2.4
+8 0 1 0 0 36 48 50 2.1
+8 0 1 0 0 36 48 52 1.8
+8 0 1 0 0 36 48 54 1.5
+8 0 1 0 0 36 48 56 1.2
+8 0 1 0 0 36 48 58 0.9
+8 0 1 0 0 36 48 60 0.6
+8 0 1 0 0 36 48 62 0.3
+8 0 1 0 0 36 48 64 6.2803698347351e-16
+8 0 1 0 0 36 48 66 0.3
+8 0 1 0 0 36 48 68 0.6
+8 0 1 0 0 36 48 70 0.9
+8 0 1 0 0 36 48 72 1.2
+8 0 1 0 0 36 48 74 1.5
+8 0 1 0 0 36 48 76 1.8
+8 0 1 0 0 36 48 78 2.1
+8 0 1 0 0 36 48 80 2.4
+8 0 1 0 0 36 48 82 2.7
+8 0 1 0 0 36 48 84 3
+8 0 1 0 0 36 48 86 3.3
+8 0 1 0 0 36 48 88 3.6
+8 0 1 0 0 36 48 90 3.9
+8 0 1 0 0 36 48 92 4.2
+8 0 1 0 0 36 48 94 4.5
+8 0 1 0 0 36 48 96 4.8
+8 0 1 0 0 36 48 98 5.1
+8 0 1 0 0 36 48 100 5.4
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 9.6
+8 0 0 0 0 36 48 4 9
+8 0 0 0 0 36 48 8 8.4
+8 0 0 0 0 36 48 12 7.8
+8 0 0 0 0 36 48 16 7.2
+8 0 0 0 0 36 48 20 6.6
+8 0 0 0 0 36 48 24 6
+8 0 0 0 0 36 48 28 5.4
+8 0 0 0 0 36 48 32 4.8
+8 0 0 0 0 36 48 36 4.2
+8 0 0 0 0 36 48 40 3.6
+8 0 0 0 0 36 48 44 3
+8 0 0 0 0 36 48 48 2.4
+8 0 0 0 0 36 48 52 1.8
+8 0 0 0 0 36 48 56 1.2
+8 0 0 0 0 36 48 60 0.6
+8 0 0 0 0 36 48 64 6.2803698347351e-16
+8 0 0 0 0 36 48 68 0.6
+8 0 0 0 0 36 48 72 1.2
+8 0 0 0 0 36 48 76 1.8
+8 0 0 0 0 36 48 80 2.4
+8 0 0 0 0 36 48 84 3
+8 0 0 0 0 36 48 88 3.6
+8 0 0 0 0 36 48 92 4.2
+8 0 0 0 0 36 48 96 4.8
+8 0 0 0 0 36 48 100 5.4
+8 0 0 0 0 36 48 104 6
+8 0 0 0 0 36 48 108 6.6
+8 0 0 0 0 36 48 112 7.2
+8 0 0 0 0 36 48 116 7.8
+8 0 0 0 0 36 48 120 8.4
+8 0 0 0 0 36 48 124 9
+8 0 0 0 0 36 48 128 9.6
+8 0 0 0 0 36 48 132 10.2
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 1.95
+9 0 2 0 0 36 48 52 1.8
+9 0 2 0 0 36 48 53 1.65
+9 0 2 0 0 36 48 54 1.5
+9 0 2 0 0 36 48 55 1.35
+9 0 2 0 0 36 48 56 1.2
+9 0 2 0 0 36 48 57 1.05
+9 0 2 0 0 36 48 58 0.9
+9 0 2 0 0 36 48 59 0.75
+9 0 2 0 0 36 48 60 0.6
+9 0 2 0 0 36 48 61 0.45
+9 0 2 0 0 36 48 62 0.3
+9 0 2 0 0 36 48 63 0.15
+9 0 2 0 0 36 48 64 6.2803698347351e-16
+9 0 2 0 0 36 48 65 0.15
+9 0 2 0 0 36 48 66 0.3
+9 0 2 0 0 36 48 67 0.45
+9 0 2 0 0 36 48 68 0.6
+9 0 2 0 0 36 48 69 0.75
+9 0 2 0 0 36 48 70 0.9
+9 0 2 0 0 36 48 71 1.05
+9 0 2 0 0 36 48 72 1.2
+9 0 2 0 0 36 48 73 1.35
+9 0 2 0 0 36 48 74 1.5
+9 0 2 0 0 36 48 75 1.65
+9 0 2 0 0 36 48 76 1.8
+9 0 2 0 0 36 48 77 1.95
+9 0 2 0 0 36 48 78 2.1
+9 0 2 0 0 36 48 79 2.25
+9 0 2 0 0 36 48 80 2.4
+9 0 2 0 0 36 48 81 2.55
+9 0 2 0 0 36 48 82 2.7
+9 0 2 0 0 36 48 83 2.85
+9 0 2 0 0 36 48 84 3
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 1.95
+10 0 2 0 0 36 48 52 1.8
+10 0 2 0 0 36 48 53 1.65
+10 0 2 0 0 36 48 54 1.5
+10 0 2 0 0 36 48 55 1.35
+10 0 2 0 0 36 48 56 1.2
+10 0 2 0 0 36 48 57 1.05
+10 0 2 0 0 36 48 58 0.9
+10 0 2 0 0 36 48 59 0.75
+10 0 2 0 0 36 48 60 0.6
+10 0 2 0 0 36 48 61 0.45
+10 0 2 0 0 36 48 62 0.3
+10 0 2 0 0 36 48 63 0.15
+10 0 2 0 0 36 48 64 6.2803698347351e-16
+10 0 2 0 0 36 48 65 0.15
+10 0 2 0 0 36 48 66 0.3
+10 0 2 0 0 36 48 67 0.45
+10 0 2 0 0 36 48 68 0.6
+10 0 2 0 0 36 48 69 0.75
+10 0 2 0 0 36 48 70 0.9
+10 0 2 0 0 36 48 71 1.05
+10 0 2 0 0 36 48 72 1.2
+10 0 2 0 0 36 48 73 1.35
+10 0 2 0 0 36 48 74 1.5
+10 0 2 0 0 36 48 75 1.65
+10 0 2 0 0 36 48 76 1.8
+10 0 2 0 0 36 48 77 1.95
+10 0 2 0 0 36 48 78 2.1
+10 0 2 0 0 36 48 79 2.25
+10 0 2 0 0 36 48 80 2.4
+10 0 2 0 0 36 48 81 2.55
+10 0 2 0 0 36 48 82 2.7
+10 0 2 0 0 36 48 83 2.85
+10 0 2 0 0 36 48 84 3
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 4.5
+10 0 1 0 0 36 48 36 4.2
+10 0 1 0 0 36 48 38 3.9
+10 0 1 0 0 36 48 40 3.6
+10 0 1 0 0 36 48 42 3.3
+10 0 1 0 0 36 48 44 3
+10 0 1 0 0 36 48 46 2.7
+10 0 1 0 0 36 48 48 2.4
+10 0 1 0 0 36 48 50 2.1
+10 0 1 0 0 36 48 52 1.8
+10 0 1 0 0 36 48 54 1.5
+10 0 1 0 0 36 48 56 1.2
+10 0 1 0 0 36 48 58 0.9
+10 0 1 0 0 36 48 60 0.6
+10 0 1 0 0 36 48 62 0.3
+10 0 1 0 0 36 48 64 6.2803698347351e-16
+10 0 1 0 0 36 48 66 0.3
+10 0 1 0 0 36 48 68 0.6
+10 0 1 0 0 36 48 70 0.9
+10 0 1 0 0 36 48 72 1.2
+10 0 1 0 0 36 48 74 1.5
+10 0 1 0 0 36 48 76 1.8
+10 0 1 0 0 36 48 78 2.1
+10 0 1 0 0 36 48 80 2.4
+10 0 1 0 0 36 48 82 2.7
+10 0 1 0 0 36 48 84 3
+10 0 1 0 0 36 48 86 3.3
+10 0 1 0 0 36 48 88 3.6
+10 0 1 0 0 36 48 90 3.9
+10 0 1 0 0 36 48 92 4.2
+10 0 1 0 0 36 48 94 4.5
+10 0 1 0 0 36 48 96 4.8
+10 0 1 0 0 36 48 98 5.1
+10 0 1 0 0 36 48 100 5.4
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 1.95
+11 0 2 0 0 36 48 52 1.8
+11 0 2 0 0 36 48 53 1.65
+11 0 2 0 0 36 48 54 1.5
+11 0 2 0 0 36 48 55 1.35
+11 0 2 0 0 36 48 56 1.2
+11 0 2 0 0 36 48 57 1.05
+11 0 2 0 0 36 48 58 0.9
+11 0 2 0 0 36 48 59 0.75
+11 0 2 0 0 36 48 60 0.6
+11 0 2 0 0 36 48 61 0.45
+11 0 2 0 0 36 48 62 0.3
+11 0 2 0 0 36 48 63 0.15
+11 0 2 0 0 36 48 64 6.2803698347351e-16
+11 0 2 0 0 36 48 65 0.15
+11 0 2 0 0 36 48 66 0.3
+11 0 2 0 0 36 48 67 0.45
+11 0 2 0 0 36 48 68 0.6
+11 0 2 0 0 36 48 69 0.75
+11 0 2 0 0 36 48 70 0.9
+11 0 2 0 0 36 48 71 1.05
+11 0 2 0 0 36 48 72 1.2
+11 0 2 0 0 36 48 73 1.35
+11 0 2 0 0 36 48 74 1.5
+11 0 2 0 0 36 48 75 1.65
+11 0 2 0 0 36 48 76 1.8
+11 0 2 0 0 36 48 77 1.95
+11 0 2 0 0 36 48 78 2.1
+11 0 2 0 0 36 48 79 2.25
+11 0 2 0 0 36 48 80 2.4
+11 0 2 0 0 36 48 81 2.55
+11 0 2 0 0 36 48 82 2.7
+11 0 2 0 0 36 48 83 2.85
+11 0 2 0 0 36 48 84 3
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 1.95
+12 0 2 0 0 36 48 52 1.8
+12 0 2 0 0 36 48 53 1.65
+12 0 2 0 0 36 48 54 1.5
+12 0 2 0 0 36 48 55 1.35
+12 0 2 0 0 36 48 56 1.2
+12 0 2 0 0 36 48 57 1.05
+12 0 2 0 0 36 48 58 0.9
+12 0 2 0 0 36 48 59 0.75
+12 0 2 0 0 36 48 60 0.6
+12 0 2 0 0 36 48 61 0.45
+12 0 2 0 0 36 48 62 0.3
+12 0 2 0 0 36 48 63 0.15
+12 0 2 0 0 36 48 64 6.2803698347351e-16
+12 0 2 0 0 36 48 65 0.15
+12 0 2 0 0 36 48 66 0.3
+12 0 2 0 0 36 48 67 0.45
+12 0 2 0 0 36 48 68 0.6
+12 0 2 0 0 36 48 69 0.75
+12 0 2 0 0 36 48 70 0.9
+12 0 2 0 0 36 48 71 1.05
+12 0 2 0 0 36 48 72 1.2
+12 0 2 0 0 36 48 73 1.35
+12 0 2 0 0 36 48 74 1.5
+12 0 2 0 0 36 48 75 1.65
+12 0 2 0 0 36 48 76 1.8
+12 0 2 0 0 36 48 77 1.95
+12 0 2 0 0 36 48 78 2.1
+12 0 2 0 0 36 48 79 2.25
+12 0 2 0 0 36 48 80 2.4
+12 0 2 0 0 36 48 81 2.55
+12 0 2 0 0 36 48 82 2.7
+12 0 2 0 0 36 48 83 2.85
+12 0 2 0 0 36 48 84 3
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 4.5
+12 0 1 0 0 36 48 36 4.2
+12 0 1 0 0 36 48 38 3.9
+12 0 1 0 0 36 48 40 3.6
+12 0 1 0 0 36 48 42 3.3
+12 0 1 0 0 36 48 44 3
+12 0 1 0 0 36 48 46 2.7
+12 0 1 0 0 36 48 48 2.4
+12 0 1 0 0 36 48 50 2.1
+12 0 1 0 0 36 48 52 1.8
+12 0 1 0 0 36 48 54 1.5
+12 0 1 0 0 36 48 56 1.2
+12 0 1 0 0 36 48 58 0.9
+12 0 1 0 0 36 48 60 0.6
+12 0 1 0 0 36 48 62 0.3
+12 0 1 0 0 36 48 64 6.2803698347351e-16
+12 0 1 0 0 36 48 66 0.3
+12 0 1 0 0 36 48 68 0.6
+12 0 1 0 0 36 48 70 0.9
+12 0 1 0 0 36 48 72 1.2
+12 0 1 0 0 36 48 74 1.5
+12 0 1 0 0 36 48 76 1.8
+12 0 1 0 0 36 48 78 2.1
+12 0 1 0 0 36 48 80 2.4
+12 0 1 0 0 36 48 82 2.7
+12 0 1 0 0 36 48 84 3
+12 0 1 0 0 36 48 86 3.3
+12 0 1 0 0 36 48 88 3.6
+12 0 1 0 0 36 48 90 3.9
+12 0 1 0 0 36 48 92 4.2
+12 0 1 0 0 36 48 94 4.5
+12 0 1 0 0 36 48 96 4.8
+12 0 1 0 0 36 48 98 5.1
+12 0 1 0 0 36 48 100 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 9.6
+12 0 0 0 0 36 48 4 9
+12 0 0 0 0 36 48 8 8.4
+12 0 0 0 0 36 48 12 7.8
+12 0 0 0 0 36 48 16 7.2
+12 0 0 0 0 36 48 20 6.6
+12 0 0 0 0 36 48 24 6
+12 0 0 0 0 36 48 28 5.4
+12 0 0 0 0 36 48 32 4.8
+12 0 0 0 0 36 48 36 4.2
+12 0 0 0 0 36 48 40 3.6
+12 0 0 0 0 36 48 44 3
+12 0 0 0 0 36 48 48 2.4
+12 0 0 0 0 36 48 52 1.8
+12 0 0 0 0 36 48 56 1.2
+12 0 0 0 0 36 48 60 0.6
+12 0 0 0 0 36 48 64 6.2803698347351e-16
+12 0 0 0 0 36 48 68 0.6
+12 0 0 0 0 36 48 72 1.2
+12 0 0 0 0 36 48 76 1.8
+12 0 0 0 0 36 48 80 2.4
+12 0 0 0 0 36 48 84 3
+12 0 0 0 0 36 48 88 3.6
+12 0 0 0 0 36 48 92 4.2
+12 0 0 0 0 36 48 96 4.8
+12 0 0 0 0 36 48 100 5.4
+12 0 0 0 0 36 48 104 6
+12 0 0 0 0 36 48 108 6.6
+12 0 0 0 0 36 48 112 7.2
+12 0 0 0 0 36 48 116 7.8
+12 0 0 0 0 36 48 120 8.4
+12 0 0 0 0 36 48 124 9
+12 0 0 0 0 36 48 128 9.6
+12 0 0 0 0 36 48 132 10.2
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 1.95
+13 0 2 0 0 36 48 52 1.8
+13 0 2 0 0 36 48 53 1.65
+13 0 2 0 0 36 48 54 1.5
+13 0 2 0 0 36 48 55 1.35
+13 0 2 0 0 36 48 56 1.2
+13 0 2 0 0 36 48 57 1.05
+13 0 2 0 0 36 48 58 0.9
+13 0 2 0 0 36 48 59 0.75
+13 0 2 0 0 36 48 60 0.6
+13 0 2 0 0 36 48 61 0.45
+13 0 2 0 0 36 48 62 0.3
+13 0 2 0 0 36 48 63 0.15
+13 0 2 0 0 36 48 64 6.2803698347351e-16
+13 0 2 0 0 36 48 65 0.15
+13 0 2 0 0 36 48 66 0.3
+13 0 2 0 0 36 48 67 0.45
+13 0 2 0 0 36 48 68 0.6
+13 0 2 0 0 36 48 69 0.75
+13 0 2 0 0 36 48 70 0.9
+13 0 2 0 0 36 48 71 1.05
+13 0 2 0 0 36 48 72 1.2
+13 0 2 0 0 36 48 73 1.35
+13 0 2 0 0 36 48 74 1.5
+13 0 2 0 0 36 48 75 1.65
+13 0 2 0 0 36 48 76 1.8
+13 0 2 0 0 36 48 77 1.95
+13 0 2 0 0 36 48 78 2.1
+13 0 2 0 0 36 48 79 2.25
+13 0 2 0 0 36 48 80 2.4
+13 0 2 0 0 36 48 81 2.55
+13 0 2 0 0 36 48 82 2.7
+13 0 2 0 0 36 48 83 2.85
+13 0 2 0 0 36 48 84 3
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 1.95
+14 0 2 0 0 36 48 52 1.8
+14 0 2 0 0 36 48 53 1.65
+14 0 2 0 0 36 48 54 1.5
+14 0 2 0 0 36 48 55 1.35
+14 0 2 0 0 36 48 56 1.2
+14 0 2 0 0 36 48 57 1.05
+14 0 2 0 0 36 48 58 0.9
+14 0 2 0 0 36 48 59 0.75
+14 0 2 0 0 36 48 60 0.6
+14 0 2 0 0 36 48 61 0.45
+14 0 2 0 0 36 48 62 0.3
+14 0 2 0 0 36 48 63 0.15
+14 0 2 0 0 36 48 64 6.2803698347351e-16
+14 0 2 0 0 36 48 65 0.15
+14 0 2 0 0 36 48 66 0.3
+14 0 2 0 0 36 48 67 0.45
+14 0 2 0 0 36 48 68 0.6
+14 0 2 0 0 36 48 69 0.75
+14 0 2 0 0 36 48 70 0.9
+14 0 2 0 0 36 48 71 1.05
+14 0 2 0 0 36 48 72 1.2
+14 0 2 0 0 36 48 73 1.35
+14 0 2 0 0 36 48 74 1.5
+14 0 2 0 0 36 48 75 1.65
+14 0 2 0 0 36 48 76 1.8
+14 0 2 0 0 36 48 77 1.95
+14 0 2 0 0 36 48 78 2.1
+14 0 2 0 0 36 48 79 2.25
+14 0 2 0 0 36 48 80 2.4
+14 0 2 0 0 36 48 81 2.55
+14 0 2 0 0 36 48 82 2.7
+14 0 2 0 0 36 48 83 2.85
+14 0 2 0 0 36 48 84 3
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 4.5
+14 0 1 0 0 36 48 36 4.2
+14 0 1 0 0 36 48 38 3.9
+14 0 1 0 0 36 48 40 3.6
+14 0 1 0 0 36 48 42 3.3
+14 0 1 0 0 36 48 44 3
+14 0 1 0 0 36 48 46 2.7
+14 0 1 0 0 36 48 48 2.4
+14 0 1 0 0 36 48 50 2.1
+14 0 1 0 0 36 48 52 1.8
+14 0 1 0 0 36 48 54 1.5
+14 0 1 0 0 36 48 56 1.2
+14 0 1 0 0 36 48 58 0.9
+14 0 1 0 0 36 48 60 0.6
+14 0 1 0 0 36 48 62 0.3
+14 0 1 0 0 36 48 64 6.2803698347351e-16
+14 0 1 0 0 36 48 66 0.3
+14 0 1 0 0 36 48 68 0.6
+14 0 1 0 0 36 48 70 0.9
+14 0 1 0 0 36 48 72 1.2
+14 0 1 0 0 36 48 74 1.5
+14 0 1 0 0 36 48 76 1.8
+14 0 1 0 0 36 48 78 2.1
+14 0 1 0 0 36 48 80 2.4
+14 0 1 0 0 36 48 82 2.7
+14 0 1 0 0 36 48 84 3
+14 0 1 0 0 36 48 86 3.3
+14 0 1 0 0 36 48 88 3.6
+14 0 1 0 0 36 48 90 3.9
+14 0 1 0 0 36 48 92 4.2
+14 0 1 0 0 36 48 94 4.5
+14 0 1 0 0 36 48 96 4.8
+14 0 1 0 0 36 48 98 5.1
+14 0 1 0 0 36 48 100 5.4
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 1.95
+15 0 2 0 0 36 48 52 1.8
+15 0 2 0 0 36 48 53 1.65
+15 0 2 0 0 36 48 54 1.5
+15 0 2 0 0 36 48 55 1.35
+15 0 2 0 0 36 48 56 1.2
+15 0 2 0 0 36 48 57 1.05
+15 0 2 0 0 36 48 58 0.9
+15 0 2 0 0 36 48 59 0.75
+15 0 2 0 0 36 48 60 0.6
+15 0 2 0 0 36 48 61 0.45
+15 0 2 0 0 36 48 62 0.3
+15 0 2 0 0 36 48 63 0.15
+15 0 2 0 0 36 48 64 6.2803698347351e-16
+15 0 2 0 0 36 48 65 0.15
+15 0 2 0 0 36 48 66 0.3
+15 0 2 0 0 36 48 67 0.45
+15 0 2 0 0 36 48 68 0.6
+15 0 2 0 0 36 48 69 0.75
+15 0 2 0 0 36 48 70 0.9
+15 0 2 0 0 36 48 71 1.05
+15 0 2 0 0 36 48 72 1.2
+15 0 2 0 0 36 48 73 1.35
+15 0 2 0 0 36 48 74 1.5
+15 0 2 0 0 36 48 75 1.65
+15 0 2 0 0 36 48 76 1.8
+15 0 2 0 0 36 48 77 1.95
+15 0 2 0 0 36 48 78 2.1
+15 0 2 0 0 36 48 79 2.25
+15 0 2 0 0 36 48 80 2.4
+15 0 2 0 0 36 48 81 2.55
+15 0 2 0 0 36 48 82 2.7
+15 0 2 0 0 36 48 83 2.85
+15 0 2 0 0 36 48 84 3
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 1.95
+16 0 2 0 0 36 48 52 1.8
+16 0 2 0 0 36 48 53 1.65
+16 0 2 0 0 36 48 54 1.5
+16 0 2 0 0 36 48 55 1.35
+16 0 2 0 0 36 48 56 1.2
+16 0 2 0 0 36 48 57 1.05
+16 0 2 0 0 36 48 58 0.9
+16 0 2 0 0 36 48 59 0.75
+16 0 2 0 0 36 48 60 0.6
+16 0 2 0 0 36 48 61 0.45
+16 0 2 0 0 36 48 62 0.3
+16 0 2 0 0 36 48 63 0.15
+16 0 2 0 0 36 48 64 6.2803698347351e-16
+16 0 2 0 0 36 48 65 0.15
+16 0 2 0 0 36 48 66 0.3
+16 0 2 0 0 36 48 67 0.45
+16 0 2 0 0 36 48 68 0.6
+16 0 2 0 0 36 48 69 0.75
+16 0 2 0 0 36 48 70 0.9
+16 0 2 0 0 36 48 71 1.05
+16 0 2 0 0 36 48 72 1.2
+16 0 2 0 0 36 48 73 1.35
+16 0 2 0 0 36 48 74 1.5
+16 0 2 0 0 36 48 75 1.65
+16 0 2 0 0 36 48 76 1.8
+16 0 2 0 0 36 48 77 1.95
+16 0 2 0 0 36 48 78 2.1
+16 0 2 0 0 36 48 79 2.25
+16 0 2 0 0 36 48 80 2.4
+16 0 2 0 0 36 48 81 2.55
+16 0 2 0 0 36 48 82 2.7
+16 0 2 0 0 36 48 83 2.85
+16 0 2 0 0 36 48 84 3
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 4.5
+16 0 1 0 0 36 48 36 4.2
+16 0 1 0 0 36 48 38 3.9
+16 0 1 0 0 36 48 40 3.6
+16 0 1 0 0 36 48 42 3.3
+16 0 1 0 0 36 48 44 3
+16 0 1 0 0 36 48 46 2.7
+16 0 1 0 0 36 48 48 2.4
+16 0 1 0 0 36 48 50 2.1
+16 0 1 0 0 36 48 52 1.8
+16 0 1 0 0 36 48 54 1.5
+16 0 1 0 0 36 48 56 1.2
+16 0 1 0 0 36 48 58 0.9
+16 0 1 0 0 36 48 60 0.6
+16 0 1 0 0 36 48 62 0.3
+16 0 1 0 0 36 48 64 6.2803698347351e-16
+16 0 1 0 0 36 48 66 0.3
+16 0 1 0 0 36 48 68 0.6
+16 0 1 0 0 36 48 70 0.9
+16 0 1 0 0 36 48 72 1.2
+16 0 1 0 0 36 48 74 1.5
+16 0 1 0 0 36 48 76 1.8
+16 0 1 0 0 36 48 78 2.1
+16 0 1 0 0 36 48 80 2.4
+16 0 1 0 0 36 48 82 2.7
+16 0 1 0 0 36 48 84 3
+16 0 1 0 0 36 48 86 3.3
+16 0 1 0 0 36 48 88 3.6
+16 0 1 0 0 36 48 90 3.9
+16 0 1 0 0 36 48 92 4.2
+16 0 1 0 0 36 48 94 4.5
+16 0 1 0 0 36 48 96 4.8
+16 0 1 0 0 36 48 98 5.1
+16 0 1 0 0 36 48 100 5.4
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 9.6
+16 0 0 0 0 36 48 4 9
+16 0 0 0 0 36 48 8 8.4
+16 0 0 0 0 36 48 12 7.8
+16 0 0 0 0 36 48 16 7.2
+16 0 0 0 0 36 48 20 6.6
+16 0 0 0 0 36 48 24 6
+16 0 0 0 0 36 48 28 5.4
+16 0 0 0 0 36 48 32 4.8
+16 0 0 0 0 36 48 36 4.2
+16 0 0 0 0 36 48 40 3.6
+16 0 0 0 0 36 48 44 3
+16 0 0 0 0 36 48 48 2.4
+16 0 0 0 0 36 48 52 1.8
+16 0 0 0 0 36 48 56 1.2
+16 0 0 0 0 36 48 60 0.6
+16 0 0 0 0 36 48 64 6.2803698347351e-16
+16 0 0 0 0 36 48 68 0.6
+16 0 0 0 0 36 48 72 1.2
+16 0 0 0 0 36 48 76 1.8
+16 0 0 0 0 36 48 80 2.4
+16 0 0 0 0 36 48 84 3
+16 0 0 0 0 36 48 88 3.6
+16 0 0 0 0 36 48 92 4.2
+16 0 0 0 0 36 48 96 4.8
+16 0 0 0 0 36 48 100 5.4
+16 0 0 0 0 36 48 104 6
+16 0 0 0 0 36 48 108 6.6
+16 0 0 0 0 36 48 112 7.2
+16 0 0 0 0 36 48 116 7.8
+16 0 0 0 0 36 48 120 8.4
+16 0 0 0 0 36 48 124 9
+16 0 0 0 0 36 48 128 9.6
+16 0 0 0 0 36 48 132 10.2
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 1.95
+17 0 2 0 0 36 48 52 1.8
+17 0 2 0 0 36 48 53 1.65
+17 0 2 0 0 36 48 54 1.5
+17 0 2 0 0 36 48 55 1.35
+17 0 2 0 0 36 48 56 1.2
+17 0 2 0 0 36 48 57 1.05
+17 0 2 0 0 36 48 58 0.9
+17 0 2 0 0 36 48 59 0.75
+17 0 2 0 0 36 48 60 0.6
+17 0 2 0 0 36 48 61 0.45
+17 0 2 0 0 36 48 62 0.3
+17 0 2 0 0 36 48 63 0.15
+17 0 2 0 0 36 48 64 6.2803698347351e-16
+17 0 2 0 0 36 48 65 0.15
+17 0 2 0 0 36 48 66 0.3
+17 0 2 0 0 36 48 67 0.45
+17 0 2 0 0 36 48 68 0.6
+17 0 2 0 0 36 48 69 0.75
+17 0 2 0 0 36 48 70 0.9
+17 0 2 0 0 36 48 71 1.05
+17 0 2 0 0 36 48 72 1.2
+17 0 2 0 0 36 48 73 1.35
+17 0 2 0 0 36 48 74 1.5
+17 0 2 0 0 36 48 75 1.65
+17 0 2 0 0 36 48 76 1.8
+17 0 2 0 0 36 48 77 1.95
+17 0 2 0 0 36 48 78 2.1
+17 0 2 0 0 36 48 79 2.25
+17 0 2 0 0 36 48 80 2.4
+17 0 2 0 0 36 48 81 2.55
+17 0 2 0 0 36 48 82 2.7
+17 0 2 0 0 36 48 83 2.85
+17 0 2 0 0 36 48 84 3
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 1.95
+18 0 2 0 0 36 48 52 1.8
+18 0 2 0 0 36 48 53 1.65
+18 0 2 0 0 36 48 54 1.5
+18 0 2 0 0 36 48 55 1.35
+18 0 2 0 0 36 48 56 1.2
+18 0 2 0 0 36 48 57 1.05
+18 0 2 0 0 36 48 58 0.9
+18 0 2 0 0 36 48 59 0.75
+18 0 2 0 0 36 48 60 0.6
+18 0 2 0 0 36 48 61 0.45
+18 0 2 0 0 36 48 62 0.3
+18 0 2 0 0 36 48 63 0.15
+18 0 2 0 0 36 48 64 6.2803698347351e-16
+18 0 2 0 0 36 48 65 0.15
+18 0 2 0 0 36 48 66 0.3
+18 0 2 0 0 36 48 67 0.45
+18 0 2 0 0 36 48 68 0.6
+18 0 2 0 0 36 48 69 0.75
+18 0 2 0 0 36 48 70 0.9
+18 0 2 0 0 36 48 71 1.05
+18 0 2 0 0 36 48 72 1.2
+18 0 2 0 0 36 48 73 1.35
+18 0 2 0 0 36 48 74 1.5
+18 0 2 0 0 36 48 75 1.65
+18 0 2 0 0 36 48 76 1.8
+18 0 2 0 0 36 48 77 1.95
+18 0 2 0 0 36 48 78 2.1
+18 0 2 0 0 36 48 79 2.25
+18 0 2 0 0 36 48 80 2.4
+18 0 2 0 0 36 48 81 2.55
+18 0 2 0 0 36 48 82 2.7
+18 0 2 0 0 36 48 83 2.85
+18 0 2 0 0 36 48 84 3
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 4.5
+18 0 1 0 0 36 48 36 4.2
+18 0 1 0 0 36 48 38 3.9
+18 0 1 0 0 36 48 40 3.6
+18 0 1 0 0 36 48 42 3.3
+18 0 1 0 0 36 48 44 3
+18 0 1 0 0 36 48 46 2.7
+18 0 1 0 0 36 48 48 2.4
+18 0 1 0 0 36 48 50 2.1
+18 0 1 0 0 36 48 52 1.8
+18 0 1 0 0 36 48 54 1.5
+18 0 1 0 0 36 48 56 1.2
+18 0 1 0 0 36 48 58 0.9
+18 0 1 0 0 36 48 60 0.6
+18 0 1 0 0 36 48 62 0.3
+18 0 1 0 0 36 48 64 6.2803698347351e-16
+18 0 1 0 0 36 48 66 0.3
+18 0 1 0 0 36 48 68 0.6
+18 0 1 0 0 36 48 70 0.9
+18 0 1 0 0 36 48 72 1.2
+18 0 1 0 0 36 48 74 1.5
+18 0 1 0 0 36 48 76 1.8
+18 0 1 0 0 36 48 78 2.1
+18 0 1 0 0 36 48 80 2.4
+18 0 1 0 0 36 48 82 2.7
+18 0 1 0 0 36 48 84 3
+18 0 1 0 0 36 48 86 3.3
+18 0 1 0 0 36 48 88 3.6
+18 0 1 0 0 36 48 90 3.9
+18 0 1 0 0 36 48 92 4.2
+18 0 1 0 0 36 48 94 4.5
+18 0 1 0 0 36 48 96 4.8
+18 0 1 0 0 36 48 98 5.1
+18 0 1 0 0 36 48 100 5.4
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 1.95
+19 0 2 0 0 36 48 52 1.8
+19 0 2 0 0 36 48 53 1.65
+19 0 2 0 0 36 48 54 1.5
+19 0 2 0 0 36 48 55 1.35
+19 0 2 0 0 36 48 56 1.2
+19 0 2 0 0 36 48 57 1.05
+19 0 2 0 0 36 48 58 0.9
+19 0 2 0 0 36 48 59 0.75
+19 0 2 0 0 36 48 60 0.6
+19 0 2 0 0 36 48 61 0.45
+19 0 2 0 0 36 48 62 0.3
+19 0 2 0 0 36 48 63 0.15
+19 0 2 0 0 36 48 64 6.2803698347351e-16
+19 0 2 0 0 36 48 65 0.15
+19 0 2 0 0 36 48 66 0.3
+19 0 2 0 0 36 48 67 0.45
+19 0 2 0 0 36 48 68 0.6
+19 0 2 0 0 36 48 69 0.75
+19 0 2 0 0 36 48 70 0.9
+19 0 2 0 0 36 48 71 1.05
+19 0 2 0 0 36 48 72 1.2
+19 0 2 0 0 36 48 73 1.35
+19 0 2 0 0 36 48 74 1.5
+19 0 2 0 0 36 48 75 1.65
+19 0 2 0 0 36 48 76 1.8
+19 0 2 0 0 36 48 77 1.95
+19 0 2 0 0 36 48 78 2.1
+19 0 2 0 0 36 48 79 2.25
+19 0 2 0 0 36 48 80 2.4
+19 0 2 0 0 36 48 81 2.55
+19 0 2 0 0 36 48 82 2.7
+19 0 2 0 0 36 48 83 2.85
+19 0 2 0 0 36 48 84 3
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 1.95
+20 0 2 0 0 36 48 52 1.8
+20 0 2 0 0 36 48 53 1.65
+20 0 2 0 0 36 48 54 1.5
+20 0 2 0 0 36 48 55 1.35
+20 0 2 0 0 36 48 56 1.2
+20 0 2 0 0 36 48 57 1.05
+20 0 2 0 0 36 48 58 0.9
+20 0 2 0 0 36 48 59 0.75
+20 0 2 0 0 36 48 60 0.6
+20 0 2 0 0 36 48 61 0.45
+20 0 2 0 0 36 48 62 0.3
+20 0 2 0 0 36 48 63 0.15
+20 0 2 0 0 36 48 64 6.2803698347351e-16
+20 0 2 0 0 36 48 65 0.15
+20 0 2 0 0 36 48 66 0.3
+20 0 2 0 0 36 48 67 0.45
+20 0 2 0 0 36 48 68 0.6
+20 0 2 0 0 36 48 69 0.75
+20 0 2 0 0 36 48 70 0.9
+20 0 2 0 0 36 48 71 1.05
+20 0 2 0 0 36 48 72 1.2
+20 0 2 0 0 36 48 73 1.35
+20 0 2 0 0 36 48 74 1.5
+20 0 2 0 0 36 48 75 1.65
+20 0 2 0 0 36 48 76 1.8
+20 0 2 0 0 36 48 77 1.95
+20 0 2 0 0 36 48 78 2.1
+20 0 2 0 0 36 48 79 2.25
+20 0 2 0 0 36 48 80 2.4
+20 0 2 0 0 36 48 81 2.55
+20 0 2 0 0 36 48 82 2.7
+20 0 2 0 0 36 48 83 2.85
+20 0 2 0 0 36 48 84 3
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 4.5
+20 0 1 0 0 36 48 36 4.2
+20 0 1 0 0 36 48 38 3.9
+20 0 1 0 0 36 48 40 3.6
+20 0 1 0 0 36 48 42 3.3
+20 0 1 0 0 36 48 44 3
+20 0 1 0 0 36 48 46 2.7
+20 0 1 0 0 36 48 48 2.4
+20 0 1 0 0 36 48 50 2.1
+20 0 1 0 0 36 48 52 1.8
+20 0 1 0 0 36 48 54 1.5
+20 0 1 0 0 36 48 56 1.2
+20 0 1 0 0 36 48 58 0.9
+20 0 1 0 0 36 48 60 0.6
+20 0 1 0 0 36 48 62 0.3
+20 0 1 0 0 36 48 64 6.2803698347351e-16
+20 0 1 0 0 36 48 66 0.3
+20 0 1 0 0 36 48 68 0.6
+20 0 1 0 0 36 48 70 0.9
+20 0 1 0 0 36 48 72 1.2
+20 0 1 0 0 36 48 74 1.5
+20 0 1 0 0 36 48 76 1.8
+20 0 1 0 0 36 48 78 2.1
+20 0 1 0 0 36 48 80 2.4
+20 0 1 0 0 36 48 82 2.7
+20 0 1 0 0 36 48 84 3
+20 0 1 0 0 36 48 86 3.3
+20 0 1 0 0 36 48 88 3.6
+20 0 1 0 0 36 48 90 3.9
+20 0 1 0 0 36 48 92 4.2
+20 0 1 0 0 36 48 94 4.5
+20 0 1 0 0 36 48 96 4.8
+20 0 1 0 0 36 48 98 5.1
+20 0 1 0 0 36 48 100 5.4
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 9.6
+20 0 0 0 0 36 48 4 9
+20 0 0 0 0 36 48 8 8.4
+20 0 0 0 0 36 48 12 7.8
+20 0 0 0 0 36 48 16 7.2
+20 0 0 0 0 36 48 20 6.6
+20 0 0 0 0 36 48 24 6
+20 0 0 0 0 36 48 28 5.4
+20 0 0 0 0 36 48 32 4.8
+20 0 0 0 0 36 48 36 4.2
+20 0 0 0 0 36 48 40 3.6
+20 0 0 0 0 36 48 44 3
+20 0 0 0 0 36 48 48 2.4
+20 0 0 0 0 36 48 52 1.8
+20 0 0 0 0 36 48 56 1.2
+20 0 0 0 0 36 48 60 0.6
+20 0 0 0 0 36 48 64 6.2803698347351e-16
+20 0 0 0 0 36 48 68 0.6
+20 0 0 0 0 36 48 72 1.2
+20 0 0 0 0 36 48 76 1.8
+20 0 0 0 0 36 48 80 2.4
+20 0 0 0 0 36 48 84 3
+20 0 0 0 0 36 48 88 3.6
+20 0 0 0 0 36 48 92 4.2
+20 0 0 0 0 36 48 96 4.8
+20 0 0 0 0 36 48 100 5.4
+20 0 0 0 0 36 48 104 6
+20 0 0 0 0 36 48 108 6.6
+20 0 0 0 0 36 48 112 7.2
+20 0 0 0 0 36 48 116 7.8
+20 0 0 0 0 36 48 120 8.4
+20 0 0 0 0 36 48 124 9
+20 0 0 0 0 36 48 128 9.6
+20 0 0 0 0 36 48 132 10.2
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 1.95
+21 0 2 0 0 36 48 52 1.8
+21 0 2 0 0 36 48 53 1.65
+21 0 2 0 0 36 48 54 1.5
+21 0 2 0 0 36 48 55 1.35
+21 0 2 0 0 36 48 56 1.2
+21 0 2 0 0 36 48 57 1.05
+21 0 2 0 0 36 48 58 0.9
+21 0 2 0 0 36 48 59 0.75
+21 0 2 0 0 36 48 60 0.6
+21 0 2 0 0 36 48 61 0.45
+21 0 2 0 0 36 48 62 0.3
+21 0 2 0 0 36 48 63 0.15
+21 0 2 0 0 36 48 64 6.2803698347351e-16
+21 0 2 0 0 36 48 65 0.15
+21 0 2 0 0 36 48 66 0.3
+21 0 2 0 0 36 48 67 0.45
+21 0 2 0 0 36 48 68 0.6
+21 0 2 0 0 36 48 69 0.75
+21 0 2 0 0 36 48 70 0.9
+21 0 2 0 0 36 48 71 1.05
+21 0 2 0 0 36 48 72 1.2
+21 0 2 0 0 36 48 73 1.35
+21 0 2 0 0 36 48 74 1.5
+21 0 2 0 0 36 48 75 1.65
+21 0 2 0 0 36 48 76 1.8
+21 0 2 0 0 36 48 77 1.95
+21 0 2 0 0 36 48 78 2.1
+21 0 2 0 0 36 48 79 2.25
+21 0 2 0 0 36 48 80 2.4
+21 0 2 0 0 36 48 81 2.55
+21 0 2 0 0 36 48 82 2.7
+21 0 2 0 0 36 48 83 2.85
+21 0 2 0 0 36 48 84 3
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 1.95
+22 0 2 0 0 36 48 52 1.8
+22 0 2 0 0 36 48 53 1.65
+22 0 2 0 0 36 48 54 1.5
+22 0 2 0 0 36 48 55 1.35
+22 0 2 0 0 36 48 56 1.2
+22 0 2 0 0 36 48 57 1.05
+22 0 2 0 0 36 48 58 0.9
+22 0 2 0 0 36 48 59 0.75
+22 0 2 0 0 36 48 60 0.6
+22 0 2 0 0 36 48 61 0.45
+22 0 2 0 0 36 48 62 0.3
+22 0 2 0 0 36 48 63 0.15
+22 0 2 0 0 36 48 64 6.2803698347351e-16
+22 0 2 0 0 36 48 65 0.15
+22 0 2 0 0 36 48 66 0.3
+22 0 2 0 0 36 48 67 0.45
+22 0 2 0 0 36 48 68 0.6
+22 0 2 0 0 36 48 69 0.75
+22 0 2 0 0 36 48 70 0.9
+22 0 2 0 0 36 48 71 1.05
+22 0 2 0 0 36 48 72 1.2
+22 0 2 0 0 36 48 73 1.35
+22 0 2 0 0 36 48 74 1.5
+22 0 2 0 0 36 48 75 1.65
+22 0 2 0 0 36 48 76 1.8
+22 0 2 0 0 36 48 77 1.95
+22 0 2 0 0 36 48 78 2.1
+22 0 2 0 0 36 48 79 2.25
+22 0 2 0 0 36 48 80 2.4
+22 0 2 0 0 36 48 81 2.55
+22 0 2 0 0 36 48 82 2.7
+22 0 2 0 0 36 48 83 2.85
+22 0 2 0 0 36 48 84 3
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 4.5
+22 0 1 0 0 36 48 36 4.2
+22 0 1 0 0 36 48 38 3.9
+22 0 1 0 0 36 48 40 3.6
+22 0 1 0 0 36 48 42 3.3
+22 0 1 0 0 36 48 44 3
+22 0 1 0 0 36 48 46 2.7
+22 0 1 0 0 36 48 48 2.4
+22 0 1 0 0 36 48 50 2.1
+22 0 1 0 0 36 48 52 1.8
+22 0 1 0 0 36 48 54 1.5
+22 0 1 0 0 36 48 56 1.2
+22 0 1 0 0 36 48 58 0.9
+22 0 1 0 0 36 48 60 0.6
+22 0 1 0 0 36 48 62 0.3
+22 0 1 0 0 36 48 64 6.2803698347351e-16
+22 0 1 0 0 36 48 66 0.3
+22 0 1 0 0 36 48 68 0.6
+22 0 1 0 0 36 48 70 0.9
+22 0 1 0 0 36 48 72 1.2
+22 0 1 0 0 36 48 74 1.5
+22 0 1 0 0 36 48 76 1.8
+22 0 1 0 0 36 48 78 2.1
+22 0 1 0 0 36 48 80 2.4
+22 0 1 0 0 36 48 82 2.7
+22 0 1 0 0 36 48 84 3
+22 0 1 0 0 36 48 86 3.3
+22 0 1 0 0 36 48 88 3.6
+22 0 1 0 0 36 48 90 3.9
+22 0 1 0 0 36 48 92 4.2
+22 0 1 0 0 36 48 94 4.5
+22 0 1 0 0 36 48 96 4.8
+22 0 1 0 0 36 48 98 5.1
+22 0 1 0 0 36 48 100 5.4
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 1.95
+23 0 2 0 0 36 48 52 1.8
+23 0 2 0 0 36 48 53 1.65
+23 0 2 0 0 36 48 54 1.5
+23 0 2 0 0 36 48 55 1.35
+23 0 2 0 0 36 48 56 1.2
+23 0 2 0 0 36 48 57 1.05
+23 0 2 0 0 36 48 58 0.9
+23 0 2 0 0 36 48 59 0.75
+23 0 2 0 0 36 48 60 0.6
+23 0 2 0 0 36 48 61 0.45
+23 0 2 0 0 36 48 62 0.3
+23 0 2 0 0 36 48 63 0.15
+23 0 2 0 0 36 48 64 6.2803698347351e-16
+23 0 2 0 0 36 48 65 0.15
+23 0 2 0 0 36 48 66 0.3
+23 0 2 0 0 36 48 67 0.45
+23 0 2 0 0 36 48 68 0.6
+23 0 2 0 0 36 48 69 0.75
+23 0 2 0 0 36 48 70 0.9
+23 0 2 0 0 36 48 71 1.05
+23 0 2 0 0 36 48 72 1.2
+23 0 2 0 0 36 48 73 1.35
+23 0 2 0 0 36 48 74 1.5
+23 0 2 0 0 36 48 75 1.65
+23 0 2 0 0 36 48 76 1.8
+23 0 2 0 0 36 48 77 1.95
+23 0 2 0 0 36 48 78 2.1
+23 0 2 0 0 36 48 79 2.25
+23 0 2 0 0 36 48 80 2.4
+23 0 2 0 0 36 48 81 2.55
+23 0 2 0 0 36 48 82 2.7
+23 0 2 0 0 36 48 83 2.85
+23 0 2 0 0 36 48 84 3
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 1.95
+24 0 2 0 0 36 48 52 1.8
+24 0 2 0 0 36 48 53 1.65
+24 0 2 0 0 36 48 54 1.5
+24 0 2 0 0 36 48 55 1.35
+24 0 2 0 0 36 48 56 1.2
+24 0 2 0 0 36 48 57 1.05
+24 0 2 0 0 36 48 58 0.9
+24 0 2 0 0 36 48 59 0.75
+24 0 2 0 0 36 48 60 0.6
+24 0 2 0 0 36 48 61 0.45
+24 0 2 0 0 36 48 62 0.3
+24 0 2 0 0 36 48 63 0.15
+24 0 2 0 0 36 48 64 6.2803698347351e-16
+24 0 2 0 0 36 48 65 0.15
+24 0 2 0 0 36 48 66 0.3
+24 0 2 0 0 36 48 67 0.45
+24 0 2 0 0 36 48 68 0.6
+24 0 2 0 0 36 48 69 0.75
+24 0 2 0 0 36 48 70 0.9
+24 0 2 0 0 36 48 71 1.05
+24 0 2 0 0 36 48 72 1.2
+24 0 2 0 0 36 48 73 1.35
+24 0 2 0 0 36 48 74 1.5
+24 0 2 0 0 36 48 75 1.65
+24 0 2 0 0 36 48 76 1.8
+24 0 2 0 0 36 48 77 1.95
+24 0 2 0 0 36 48 78 2.1
+24 0 2 0 0 36 48 79 2.25
+24 0 2 0 0 36 48 80 2.4
+24 0 2 0 0 36 48 81 2.55
+24 0 2 0 0 36 48 82 2.7
+24 0 2 0 0 36 48 83 2.85
+24 0 2 0 0 36 48 84 3
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 4.5
+24 0 1 0 0 36 48 36 4.2
+24 0 1 0 0 36 48 38 3.9
+24 0 1 0 0 36 48 40 3.6
+24 0 1 0 0 36 48 42 3.3
+24 0 1 0 0 36 48 44 3
+24 0 1 0 0 36 48 46 2.7
+24 0 1 0 0 36 48 48 2.4
+24 0 1 0 0 36 48 50 2.1
+24 0 1 0 0 36 48 52 1.8
+24 0 1 0 0 36 48 54 1.5
+24 0 1 0 0 36 48 56 1.2
+24 0 1 0 0 36 48 58 0.9
+24 0 1 0 0 36 48 60 0.6
+24 0 1 0 0 36 48 62 0.3
+24 0 1 0 0 36 48 64 6.2803698347351e-16
+24 0 1 0 0 36 48 66 0.3
+24 0 1 0 0 36 48 68 0.6
+24 0 1 0 0 36 48 70 0.9
+24 0 1 0 0 36 48 72 1.2
+24 0 1 0 0 36 48 74 1.5
+24 0 1 0 0 36 48 76 1.8
+24 0 1 0 0 36 48 78 2.1
+24 0 1 0 0 36 48 80 2.4
+24 0 1 0 0 36 48 82 2.7
+24 0 1 0 0 36 48 84 3
+24 0 1 0 0 36 48 86 3.3
+24 0 1 0 0 36 48 88 3.6
+24 0 1 0 0 36 48 90 3.9
+24 0 1 0 0 36 48 92 4.2
+24 0 1 0 0 36 48 94 4.5
+24 0 1 0 0 36 48 96 4.8
+24 0 1 0 0 36 48 98 5.1
+24 0 1 0 0 36 48 100 5.4
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 9.6
+24 0 0 0 0 36 48 4 9
+24 0 0 0 0 36 48 8 8.4
+24 0 0 0 0 36 48 12 7.8
+24 0 0 0 0 36 48 16 7.2
+24 0 0 0 0 36 48 20 6.6
+24 0 0 0 0 36 48 24 6
+24 0 0 0 0 36 48 28 5.4
+24 0 0 0 0 36 48 32 4.8
+24 0 0 0 0 36 48 36 4.2
+24 0 0 0 0 36 48 40 3.6
+24 0 0 0 0 36 48 44 3
+24 0 0 0 0 36 48 48 2.4
+24 0 0 0 0 36 48 52 1.8
+24 0 0 0 0 36 48 56 1.2
+24 0 0 0 0 36 48 60 0.6
+24 0 0 0 0 36 48 64 6.2803698347351e-16
+24 0 0 0 0 36 48 68 0.6
+24 0 0 0 0 36 48 72 1.2
+24 0 0 0 0 36 48 76 1.8
+24 0 0 0 0 36 48 80 2.4
+24 0 0 0 0 36 48 84 3
+24 0 0 0 0 36 48 88 3.6
+24 0 0 0 0 36 48 92 4.2
+24 0 0 0 0 36 48 96 4.8
+24 0 0 0 0 36 48 100 5.4
+24 0 0 0 0 36 48 104 6
+24 0 0 0 0 36 48 108 6.6
+24 0 0 0 0 36 48 112 7.2
+24 0 0 0 0 36 48 116 7.8
+24 0 0 0 0 36 48 120 8.4
+24 0 0 0 0 36 48 124 9
+24 0 0 0 0 36 48 128 9.6
+24 0 0 0 0 36 48 132 10.2
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/u.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/u.xl
new file mode 100644
index 000000000..c33fc0c78
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/u.xl
@@ -0,0 +1,1082 @@
+# HYDROTOY::u x (u)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0.587785252292474
+0 0 2 0 0 28 48 64 0.669130606358859
+0 0 2 0 0 29 48 64 0.743144825477395
+0 0 2 0 0 30 48 64 0.809016994374948
+0 0 2 0 0 31 48 64 0.866025403784439
+0 0 2 0 0 32 48 64 0.913545457642601
+0 0 2 0 0 33 48 64 0.951056516295154
+0 0 2 0 0 34 48 64 0.978147600733806
+0 0 2 0 0 35 48 64 0.994521895368273
+0 0 2 0 0 36 48 64 1
+0 0 2 0 0 37 48 64 0.994521895368273
+0 0 2 0 0 38 48 64 0.978147600733806
+0 0 2 0 0 39 48 64 0.951056516295154
+0 0 2 0 0 40 48 64 0.913545457642601
+0 0 2 0 0 41 48 64 0.866025403784439
+0 0 2 0 0 42 48 64 0.809016994374948
+0 0 2 0 0 43 48 64 0.743144825477395
+0 0 2 0 0 44 48 64 0.669130606358859
+0 0 2 0 0 45 48 64 0.587785252292474
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -0.309016994374946
+0 0 1 0 0 20 48 64 -0.104528463267652
+0 0 1 0 0 22 48 64 0.104528463267655
+0 0 1 0 0 24 48 64 0.309016994374949
+0 0 1 0 0 26 48 64 0.500000000000001
+0 0 1 0 0 28 48 64 0.669130606358859
+0 0 1 0 0 30 48 64 0.809016994374948
+0 0 1 0 0 32 48 64 0.913545457642601
+0 0 1 0 0 34 48 64 0.978147600733806
+0 0 1 0 0 36 48 64 1
+0 0 1 0 0 38 48 64 0.978147600733806
+0 0 1 0 0 40 48 64 0.913545457642601
+0 0 1 0 0 42 48 64 0.809016994374948
+0 0 1 0 0 44 48 64 0.669130606358859
+0 0 1 0 0 46 48 64 0.500000000000001
+0 0 1 0 0 48 48 64 0.309016994374949
+0 0 1 0 0 50 48 64 0.104528463267655
+0 0 1 0 0 52 48 64 -0.104528463267652
+0 0 1 0 0 54 48 64 -0.309016994374946
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -0.80901699437495
+0 0 0 0 0 4 48 64 -0.978147600733806
+0 0 0 0 0 8 48 64 -0.978147600733805
+0 0 0 0 0 12 48 64 -0.809016994374946
+0 0 0 0 0 16 48 64 -0.499999999999998
+0 0 0 0 0 20 48 64 -0.104528463267652
+0 0 0 0 0 24 48 64 0.309016994374949
+0 0 0 0 0 28 48 64 0.669130606358859
+0 0 0 0 0 32 48 64 0.913545457642601
+0 0 0 0 0 36 48 64 1
+0 0 0 0 0 40 48 64 0.913545457642601
+0 0 0 0 0 44 48 64 0.669130606358859
+0 0 0 0 0 48 48 64 0.309016994374949
+0 0 0 0 0 52 48 64 -0.104528463267652
+0 0 0 0 0 56 48 64 -0.499999999999998
+0 0 0 0 0 60 48 64 -0.809016994374946
+0 0 0 0 0 64 48 64 -0.978147600733805
+0 0 0 0 0 68 48 64 -0.978147600733806
+0 0 0 0 0 72 48 64 -0.809016994374949
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0.651909615077598
+1 0 2 0 0 28 48 64 0.727632226861757
+1 0 2 0 0 29 48 64 0.795757084641662
+1 0 2 0 0 30 48 64 0.85453175813475
+1 0 2 0 0 31 48 64 0.904143679572001
+1 0 2 0 0 32 48 64 0.943849613651632
+1 0 2 0 0 33 48 64 0.973214533850867
+1 0 2 0 0 34 48 64 0.991916711958997
+1 0 2 0 0 35 48 64 0.999751242998988
+1 0 2 0 0 36 48 64 0.996632290209284
+1 0 2 0 0 37 48 64 0.982594025489333
+1 0 2 0 0 38 48 64 0.957790255005101
+1 0 2 0 0 39 48 64 0.922492734056538
+1 0 2 0 0 40 48 64 0.877088189669635
+1 0 2 0 0 41 48 64 0.822074083534209
+1 0 2 0 0 42 48 64 0.758053161709521
+1 0 2 0 0 43 48 64 0.685573567098755
+1 0 2 0 0 44 48 64 0.60619085304572
+1 0 2 0 0 45 48 64 0.519709648987857
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0.712050473931948
+2 0 2 0 0 28 48 64 0.781583843698094
+2 0 2 0 0 29 48 64 0.843025259774963
+2 0 2 0 0 30 48 64 0.894196637999352
+2 0 2 0 0 31 48 64 0.936168586212415
+2 0 2 0 0 32 48 64 0.967786185543245
+2 0 2 0 0 33 48 64 0.988806756800127
+2 0 2 0 0 34 48 64 0.998993754308389
+2 0 2 0 0 35 48 64 0.998235567191566
+2 0 2 0 0 36 48 64 0.98654050230637
+2 0 2 0 0 37 48 64 0.964036693231034
+2 0 2 0 0 38 48 64 0.93097069640701
+2 0 2 0 0 39 48 64 0.887704789815009
+2 0 2 0 0 40 48 64 0.834713003781624
+2 0 2 0 0 41 48 64 0.772571137287833
+2 0 2 0 0 42 48 64 0.701922882566005
+2 0 2 0 0 43 48 64 0.623424606511313
+2 0 2 0 0 44 48 64 0.538826962541212
+2 0 2 0 0 45 48 64 0.447787558843344
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -0.152431492460527
+2 0 1 0 0 20 48 64 0.0563600193614062
+2 0 1 0 0 22 48 64 0.265712841995523
+2 0 1 0 0 24 48 64 0.460231992899264
+2 0 1 0 0 26 48 64 0.634779370549878
+2 0 1 0 0 28 48 64 0.781583843698094
+2 0 1 0 0 30 48 64 0.894196637999352
+2 0 1 0 0 32 48 64 0.967786185543245
+2 0 1 0 0 34 48 64 0.998993754308389
+2 0 1 0 0 36 48 64 0.98654050230637
+2 0 1 0 0 38 48 64 0.93097069640701
+2 0 1 0 0 40 48 64 0.834713003781624
+2 0 1 0 0 42 48 64 0.701922882566005
+2 0 1 0 0 44 48 64 0.538826962541212
+2 0 1 0 0 46 48 64 0.351882122506354
+2 0 1 0 0 48 48 64 0.149558345200208
+2 0 1 0 0 50 48 64 -0.0589516342688979
+2 0 1 0 0 52 48 64 -0.26279679501044
+2 0 1 0 0 54 48 64 -0.457422597155463
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0.767040935107942
+3 0 2 0 0 28 48 64 0.829947667915722
+3 0 2 0 0 29 48 64 0.884612806838293
+3 0 2 0 0 30 48 64 0.927755552365676
+3 0 2 0 0 31 48 64 0.961898089154164
+3 0 2 0 0 32 48 64 0.98518851840189
+3 0 2 0 0 33 48 64 0.997728108671474
+3 0 2 0 0 34 48 64 0.999330904770413
+3 0 2 0 0 35 48 64 0.989985017350036
+3 0 2 0 0 36 48 64 0.969792646911889
+3 0 2 0 0 37 48 64 0.938975025292017
+3 0 2 0 0 38 48 64 0.89786979680189
+3 0 2 0 0 39 48 64 0.84692716923554
+3 0 2 0 0 40 48 64 0.786702215384492
+3 0 2 0 0 41 48 64 0.717844357478858
+3 0 2 0 0 42 48 64 0.641016332962757
+3 0 2 0 0 43 48 64 0.557134770865079
+3 0 2 0 0 44 48 64 0.468258963521186
+3 0 2 0 0 45 48 64 0.373308857576257
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0.8172570703812
+4 0 2 0 0 28 48 64 0.873069629165358
+4 0 2 0 0 29 48 64 0.920222577097198
+4 0 2 0 0 30 48 64 0.954984230800394
+4 0 2 0 0 31 48 64 0.981168854858724
+4 0 2 0 0 32 48 64 0.995929410946638
+4 0 2 0 0 33 48 64 0.999919766215497
+4 0 2 0 0 34 48 64 0.992925577292746
+4 0 2 0 0 35 48 64 0.975055187672998
+4 0 2 0 0 36 48 64 0.946501642314714
+4 0 2 0 0 37 48 64 0.907578028310829
+4 0 2 0 0 38 48 64 0.858710639523405
+4 0 2 0 0 39 48 64 0.800434041884727
+4 0 2 0 0 40 48 64 0.733374241117431
+4 0 2 0 0 41 48 64 0.658260598145681
+4 0 2 0 0 42 48 64 0.575787440470886
+4 0 2 0 0 43 48 64 0.487155903121006
+4 0 2 0 0 44 48 64 0.394080179760359
+4 0 2 0 0 45 48 64 0.295797333588946
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 0.0113922603551225
+4 0 1 0 0 20 48 64 0.219322218933327
+4 0 1 0 0 22 48 64 0.420199068973527
+4 0 1 0 0 24 48 64 0.598974103207183
+4 0 1 0 0 26 48 64 0.752539198221478
+4 0 1 0 0 28 48 64 0.873069629165358
+4 0 1 0 0 30 48 64 0.954984230800394
+4 0 1 0 0 32 48 64 0.995929410946638
+4 0 1 0 0 34 48 64 0.992925577292746
+4 0 1 0 0 36 48 64 0.946501642314714
+4 0 1 0 0 38 48 64 0.858710639523405
+4 0 1 0 0 40 48 64 0.733374241117431
+4 0 1 0 0 42 48 64 0.575787440470886
+4 0 1 0 0 44 48 64 0.394080179760359
+4 0 1 0 0 46 48 64 0.194289704704288
+4 0 1 0 0 48 48 64 -0.0137281404892237
+4 0 1 0 0 50 48 64 -0.220507844906553
+4 0 1 0 0 52 48 64 -0.417658637620938
+4 0 1 0 0 54 48 64 -0.597316331665305
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -0.955765485796519
+4 0 0 0 0 4 48 64 -0.994570500607911
+4 0 0 0 0 8 48 64 -0.861405240474848
+4 0 0 0 0 12 48 64 -0.579295188642749
+4 0 0 0 0 16 48 64 -0.197019735962746
+4 0 0 0 0 20 48 64 0.219322218933327
+4 0 0 0 0 24 48 64 0.598974103207183
+4 0 0 0 0 28 48 64 0.873069629165358
+4 0 0 0 0 32 48 64 0.995929410946638
+4 0 0 0 0 36 48 64 0.946501642314714
+4 0 0 0 0 40 48 64 0.733374241117431
+4 0 0 0 0 44 48 64 0.394080179760359
+4 0 0 0 0 48 48 64 -0.0137281404892237
+4 0 0 0 0 52 48 64 -0.417658637620938
+4 0 0 0 0 56 48 64 -0.751699935634057
+4 0 0 0 0 60 48 64 -0.955765485796519
+4 0 0 0 0 64 48 64 -0.994570500607911
+4 0 0 0 0 68 48 64 -0.861405240474848
+4 0 0 0 0 72 48 64 -0.579295188642749
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0.861658331762277
+5 0 2 0 0 28 48 64 0.909998273199635
+5 0 2 0 0 29 48 64 0.949601042191555
+5 0 2 0 0 30 48 64 0.975731408642226
+5 0 2 0 0 31 48 64 0.993858181934711
+5 0 2 0 0 32 48 64 0.99992407886453
+5 0 2 0 0 33 48 64 0.99537007996143
+5 0 2 0 0 34 48 64 0.979819821685853
+5 0 2 0 0 35 48 64 0.953546807750284
+5 0 2 0 0 36 48 64 0.916824524749787
+5 0 2 0 0 37 48 64 0.870057388101803
+5 0 2 0 0 38 48 64 0.813756658981732
+5 0 2 0 0 39 48 64 0.748537326577747
+5 0 2 0 0 40 48 64 0.675084140622609
+5 0 2 0 0 41 48 64 0.594227982314214
+5 0 2 0 0 42 48 64 0.506691213415168
+5 0 2 0 0 43 48 64 0.413964673419675
+5 0 2 0 0 44 48 64 0.317758281790492
+5 0 2 0 0 45 48 64 0.216855205439183
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0.900541251834603
+6 0 2 0 0 28 48 64 0.941050751434342
+6 0 2 0 0 29 48 64 0.972551770952971
+6 0 2 0 0 30 48 64 0.989874876870108
+6 0 2 0 0 31 48 64 0.999879728730812
+6 0 2 0 0 32 48 64 0.997133631057299
+6 0 2 0 0 33 48 64 0.984114697608935
+6 0 2 0 0 34 48 64 0.960099314199465
+6 0 2 0 0 35 48 64 0.925605181205367
+6 0 2 0 0 36 48 64 0.880961227748025
+6 0 2 0 0 37 48 64 0.826665876324329
+6 0 2 0 0 38 48 64 0.763309525825212
+6 0 2 0 0 39 48 64 0.6915851057022
+6 0 2 0 0 40 48 64 0.61222371262752
+6 0 2 0 0 41 48 64 0.526187860248386
+6 0 2 0 0 42 48 64 0.434236809637141
+6 0 2 0 0 43 48 64 0.338054099405671
+6 0 2 0 0 44 48 64 0.238804046100998
+6 0 2 0 0 45 48 64 0.135890601514092
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0.171349925732333
+6 0 1 0 0 20 48 64 0.373029970686084
+6 0 1 0 0 22 48 64 0.563783792969253
+6 0 1 0 0 24 48 64 0.721500034583382
+6 0 1 0 0 26 48 64 0.850136413408487
+6 0 1 0 0 28 48 64 0.941050751434342
+6 0 1 0 0 30 48 64 0.989874876870108
+6 0 1 0 0 32 48 64 0.997133631057299
+6 0 1 0 0 34 48 64 0.960099314199465
+6 0 1 0 0 36 48 64 0.880961227748025
+6 0 1 0 0 38 48 64 0.763309525825212
+6 0 1 0 0 40 48 64 0.61222371262752
+6 0 1 0 0 42 48 64 0.434236809637141
+6 0 1 0 0 44 48 64 0.238804046100998
+6 0 1 0 0 46 48 64 0.0314784031143814
+6 0 1 0 0 48 48 64 -0.1764639913692
+6 0 1 0 0 50 48 64 -0.375858270808843
+6 0 1 0 0 52 48 64 -0.557908474529556
+6 0 1 0 0 54 48 64 -0.718087004621101
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0.933137943726491
+7 0 2 0 0 28 48 64 0.965516178555924
+7 0 2 0 0 29 48 64 0.988919288782494
+7 0 2 0 0 30 48 64 0.997353020655858
+7 0 2 0 0 31 48 64 0.999187577316258
+7 0 2 0 0 32 48 64 0.98756853001275
+7 0 2 0 0 33 48 64 0.966235531674265
+7 0 2 0 0 34 48 64 0.933892145473313
+7 0 2 0 0 35 48 64 0.89141931131326
+7 0 2 0 0 36 48 64 0.839152841904983
+7 0 2 0 0 37 48 64 0.777695386779001
+7 0 2 0 0 38 48 64 0.707707009052102
+7 0 2 0 0 39 48 64 0.629959953010167
+7 0 2 0 0 40 48 64 0.545220593623263
+7 0 2 0 0 41 48 64 0.454615185550141
+7 0 2 0 0 42 48 64 0.35891740960853
+7 0 2 0 0 43 48 64 0.259928645169979
+7 0 2 0 0 44 48 64 0.158778820620099
+7 0 2 0 0 45 48 64 0.0545929645868534
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0.959631676597353
+8 0 2 0 0 28 48 64 0.983631516335565
+8 0 2 0 0 29 48 64 0.998606063574724
+8 0 2 0 0 30 48 64 0.998129861445735
+8 0 2 0 0 31 48 64 0.99177465614636
+8 0 2 0 0 32 48 64 0.971290760850531
+8 0 2 0 0 33 48 64 0.941858854460701
+8 0 2 0 0 34 48 64 0.9013677138982
+8 0 2 0 0 35 48 64 0.851220626947235
+8 0 2 0 0 36 48 64 0.791679348020936
+8 0 2 0 0 37 48 64 0.723474691733677
+8 0 2 0 0 38 48 64 0.647320872908433
+8 0 2 0 0 39 48 64 0.564077261940211
+8 0 2 0 0 40 48 64 0.474535901291738
+8 0 2 0 0 41 48 64 0.380007285149932
+8 0 2 0 0 42 48 64 0.281268385646936
+8 0 2 0 0 43 48 64 0.180103631479668
+8 0 2 0 0 44 48 64 0.0771621560383866
+8 0 2 0 0 45 48 64 -0.0276551295980301
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0.331370286068853
+8 0 1 0 0 20 48 64 0.521259329540353
+8 0 1 0 0 22 48 64 0.692452524847431
+8 0 1 0 0 24 48 64 0.824315235529456
+8 0 1 0 0 26 48 64 0.924950709115942
+8 0 1 0 0 28 48 64 0.983631516335565
+8 0 1 0 0 30 48 64 0.998129861445735
+8 0 1 0 0 32 48 64 0.971290760850531
+8 0 1 0 0 34 48 64 0.9013677138982
+8 0 1 0 0 36 48 64 0.791679348020936
+8 0 1 0 0 38 48 64 0.647320872908433
+8 0 1 0 0 40 48 64 0.474535901291738
+8 0 1 0 0 42 48 64 0.281268385646936
+8 0 1 0 0 44 48 64 0.0771621560383866
+8 0 1 0 0 46 48 64 -0.132157376793459
+8 0 1 0 0 48 48 64 -0.334104514474491
+8 0 1 0 0 50 48 64 -0.52093722953661
+8 0 1 0 0 52 48 64 -0.687281477926158
+8 0 1 0 0 54 48 64 -0.823489407559468
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -1.00236259183865
+8 0 0 0 0 4 48 64 -0.906417389262528
+8 0 0 0 0 8 48 64 -0.653744385539442
+8 0 0 0 0 12 48 64 -0.288033038475295
+8 0 0 0 0 16 48 64 0.127520360561461
+8 0 0 0 0 20 48 64 0.521259329540353
+8 0 0 0 0 24 48 64 0.824315235529456
+8 0 0 0 0 28 48 64 0.983631516335565
+8 0 0 0 0 32 48 64 0.971290760850531
+8 0 0 0 0 36 48 64 0.791679348020936
+8 0 0 0 0 40 48 64 0.474535901291738
+8 0 0 0 0 44 48 64 0.0771621560383866
+8 0 0 0 0 48 48 64 -0.334104514474491
+8 0 0 0 0 52 48 64 -0.687281477926158
+8 0 0 0 0 56 48 64 -0.925062939033713
+8 0 0 0 0 60 48 64 -1.00236259183865
+8 0 0 0 0 64 48 64 -0.906417389262528
+8 0 0 0 0 68 48 64 -0.653744385539442
+8 0 0 0 0 72 48 64 -0.288033038475295
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0.979522394926427
+9 0 2 0 0 28 48 64 0.994949058957819
+9 0 2 0 0 29 48 64 1.00155306469829
+9 0 2 0 0 30 48 64 0.992216994579214
+9 0 2 0 0 31 48 64 0.977677520574414
+9 0 2 0 0 32 48 64 0.948414545015055
+9 0 2 0 0 33 48 64 0.911152651183213
+9 0 2 0 0 34 48 64 0.862735877450767
+9 0 2 0 0 35 48 64 0.805281240591704
+9 0 2 0 0 36 48 64 0.738856948924592
+9 0 2 0 0 37 48 64 0.66436706921524
+9 0 2 0 0 38 48 64 0.582554908456244
+9 0 2 0 0 39 48 64 0.494383006914857
+9 0 2 0 0 40 48 64 0.400660090715143
+9 0 2 0 0 41 48 64 0.302882590818387
+9 0 2 0 0 42 48 64 0.201796369353135
+9 0 2 0 0 43 48 64 0.0990996681789885
+9 0 2 0 0 44 48 64 -0.00442825670899079
+9 0 2 0 0 45 48 64 -0.109126883534929
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0.992904302712177
+10 0 2 0 0 28 48 64 0.9996180416945
+10 0 2 0 0 29 48 64 0.997755089593378
+10 0 2 0 0 30 48 64 0.979651844901972
+10 0 2 0 0 31 48 64 0.956976452768149
+10 0 2 0 0 32 48 64 0.919104812878963
+10 0 2 0 0 33 48 64 0.874323824069922
+10 0 2 0 0 34 48 64 0.818246477106666
+10 0 2 0 0 35 48 64 0.753911735704131
+10 0 2 0 0 36 48 64 0.681035265045959
+10 0 2 0 0 37 48 64 0.600767976552479
+10 0 2 0 0 38 48 64 0.51384297211578
+10 0 2 0 0 39 48 64 0.421351068910341
+10 0 2 0 0 40 48 64 0.324107406337792
+10 0 2 0 0 41 48 64 0.223768574727125
+10 0 2 0 0 42 48 64 0.121043340206438
+10 0 2 0 0 43 48 64 0.0174448294102601
+10 0 2 0 0 44 48 64 -0.0865316479337494
+10 0 2 0 0 45 48 64 -0.190432223333164
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0.478675681166316
+10 0 1 0 0 20 48 64 0.651880289281464
+10 0 1 0 0 22 48 64 0.802598547195325
+10 0 1 0 0 24 48 64 0.904770631644155
+10 0 1 0 0 26 48 64 0.974991013671792
+10 0 1 0 0 28 48 64 0.9996180416945
+10 0 1 0 0 30 48 64 0.979651844901972
+10 0 1 0 0 32 48 64 0.919104812878963
+10 0 1 0 0 34 48 64 0.818246477106666
+10 0 1 0 0 36 48 64 0.681035265045959
+10 0 1 0 0 38 48 64 0.51384297211578
+10 0 1 0 0 40 48 64 0.324107406337792
+10 0 1 0 0 42 48 64 0.121043340206438
+10 0 1 0 0 44 48 64 -0.0865316479337494
+10 0 1 0 0 46 48 64 -0.29216271855061
+10 0 1 0 0 48 48 64 -0.482538973279383
+10 0 1 0 0 50 48 64 -0.652033248997704
+10 0 1 0 0 52 48 64 -0.795233029341178
+10 0 1 0 0 54 48 64 -0.904340984014868
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 0.999535428486159
+11 0 2 0 0 28 48 64 0.99746273059071
+11 0 2 0 0 29 48 64 0.987241529667667
+11 0 2 0 0 30 48 64 0.960511736002182
+11 0 2 0 0 31 48 64 0.929798915717165
+11 0 2 0 0 32 48 64 0.883574041207677
+11 0 2 0 0 33 48 64 0.831615641441191
+11 0 2 0 0 34 48 64 0.768189126243368
+11 0 2 0 0 35 48 64 0.697458571236934
+11 0 2 0 0 36 48 64 0.618594748559011
+11 0 2 0 0 37 48 64 0.533102912358249
+11 0 2 0 0 38 48 64 0.441646964417054
+11 0 2 0 0 39 48 64 0.345479731407788
+11 0 2 0 0 40 48 64 0.245409311811909
+11 0 2 0 0 41 48 64 0.143201473159837
+11 0 2 0 0 42 48 64 0.0395176267061775
+11 0 2 0 0 43 48 64 -0.0643310341699245
+11 0 2 0 0 44 48 64 -0.167506965192302
+11 0 2 0 0 45 48 64 -0.26988295581939
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 0.999436992662785
+12 0 2 0 0 28 48 64 0.988541703631413
+12 0 2 0 0 29 48 64 0.970090714268273
+12 0 2 0 0 30 48 64 0.934906903001621
+12 0 2 0 0 31 48 64 0.896319326599637
+12 0 2 0 0 32 48 64 0.842077537695202
+12 0 2 0 0 33 48 64 0.783305934799337
+12 0 2 0 0 34 48 64 0.712893079881278
+12 0 2 0 0 35 48 64 0.636301281456171
+12 0 2 0 0 36 48 64 0.551944666175462
+12 0 2 0 0 37 48 64 0.461825518383063
+12 0 2 0 0 38 48 64 0.366454505356591
+12 0 2 0 0 39 48 64 0.26728776070265
+12 0 2 0 0 40 48 64 0.165107946626902
+12 0 2 0 0 41 48 64 0.0617163140466486
+12 0 2 0 0 42 48 64 -0.0422376137522719
+12 0 2 0 0 43 48 64 -0.145692624164484
+12 0 2 0 0 44 48 64 -0.247901225965844
+12 0 2 0 0 45 48 64 -0.348054525231922
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0.617398344547631
+12 0 1 0 0 20 48 64 0.768936185314308
+12 0 1 0 0 22 48 64 0.891195300052413
+12 0 1 0 0 24 48 64 0.960623829901699
+12 0 1 0 0 26 48 64 0.998906711813427
+12 0 1 0 0 28 48 64 0.988541703631413
+12 0 1 0 0 30 48 64 0.934906903001621
+12 0 1 0 0 32 48 64 0.842077537695202
+12 0 1 0 0 34 48 64 0.712893079881278
+12 0 1 0 0 36 48 64 0.551944666175462
+12 0 1 0 0 38 48 64 0.366454505356591
+12 0 1 0 0 40 48 64 0.165107946626902
+12 0 1 0 0 42 48 64 -0.0422376137522719
+12 0 1 0 0 44 48 64 -0.247901225965844
+12 0 1 0 0 46 48 64 -0.444190208182154
+12 0 1 0 0 48 48 64 -0.617761157312865
+12 0 1 0 0 50 48 64 -0.765740694800315
+12 0 1 0 0 52 48 64 -0.885278001597805
+12 0 1 0 0 54 48 64 -0.963803825186627
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -0.943615878124977
+12 0 0 0 0 4 48 64 -0.722688394071916
+12 0 0 0 0 8 48 64 -0.37676865988688
+12 0 0 0 0 12 48 64 0.0343121543287696
+12 0 0 0 0 16 48 64 0.439528188149411
+12 0 0 0 0 20 48 64 0.768936185314308
+12 0 0 0 0 24 48 64 0.960623829901699
+12 0 0 0 0 28 48 64 0.988541703631413
+12 0 0 0 0 32 48 64 0.842077537695202
+12 0 0 0 0 36 48 64 0.551944666175462
+12 0 0 0 0 40 48 64 0.165107946626902
+12 0 0 0 0 44 48 64 -0.247901225965844
+12 0 0 0 0 48 48 64 -0.617761157312865
+12 0 0 0 0 52 48 64 -0.885278001597805
+12 0 0 0 0 56 48 64 -1.00170639800334
+12 0 0 0 0 60 48 64 -0.943615878124977
+12 0 0 0 0 64 48 64 -0.722688394071916
+12 0 0 0 0 68 48 64 -0.37676865988688
+12 0 0 0 0 72 48 64 0.0343121543287696
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 0.992618037219795
+13 0 2 0 0 28 48 64 0.97295073382607
+13 0 2 0 0 29 48 64 0.946413901489816
+13 0 2 0 0 30 48 64 0.902986090763508
+13 0 2 0 0 31 48 64 0.856759457871654
+13 0 2 0 0 32 48 64 0.794908423328862
+13 0 2 0 0 33 48 64 0.729706221368073
+13 0 2 0 0 34 48 64 0.652726853855447
+13 0 2 0 0 35 48 64 0.57084969800343
+13 0 2 0 0 36 48 64 0.481521872851975
+13 0 2 0 0 37 48 64 0.387415836629884
+13 0 2 0 0 38 48 64 0.288776218631638
+13 0 2 0 0 39 48 64 0.187309950861999
+13 0 2 0 0 40 48 64 0.0837501776551233
+13 0 2 0 0 41 48 64 -0.020150143408944
+13 0 2 0 0 42 48 64 -0.123711738284042
+13 0 2 0 0 43 48 64 -0.226106076297873
+13 0 2 0 0 44 48 64 -0.326085347288115
+13 0 2 0 0 45 48 64 -0.423321837019524
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 0.979023703110058
+14 0 2 0 0 28 48 64 0.950657896838194
+14 0 2 0 0 29 48 64 0.916369327760328
+14 0 2 0 0 30 48 64 0.864942478490123
+14 0 2 0 0 31 48 64 0.811386863896716
+14 0 2 0 0 32 48 64 0.742392769572438
+14 0 2 0 0 33 48 64 0.671161727448693
+14 0 2 0 0 34 48 64 0.588097269560414
+14 0 2 0 0 35 48 64 0.50154140770362
+14 0 2 0 0 36 48 64 0.407790367582084
+14 0 2 0 0 37 48 64 0.310378494900831
+14 0 2 0 0 38 48 64 0.209142447318002
+14 0 2 0 0 39 48 64 0.106092744099612
+14 0 2 0 0 40 48 64 0.00188311909249167
+14 0 2 0 0 41 48 64 -0.101866117550044
+14 0 2 0 0 42 48 64 -0.204358085888387
+14 0 2 0 0 43 48 64 -0.305034606454932
+14 0 2 0 0 44 48 64 -0.402602356814535
+14 0 2 0 0 45 48 64 -0.496229249712174
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0.736324766009443
+14 0 1 0 0 20 48 64 0.862372428160186
+14 0 1 0 0 22 48 64 0.955735241570573
+14 0 1 0 0 24 48 64 0.990561419079397
+14 0 1 0 0 26 48 64 0.996062462499241
+14 0 1 0 0 28 48 64 0.950657896838194
+14 0 1 0 0 30 48 64 0.864942478490123
+14 0 1 0 0 32 48 64 0.742392769572438
+14 0 1 0 0 34 48 64 0.588097269560414
+14 0 1 0 0 36 48 64 0.407790367582084
+14 0 1 0 0 38 48 64 0.209142447318002
+14 0 1 0 0 40 48 64 0.00188311909249167
+14 0 1 0 0 42 48 64 -0.204358085888387
+14 0 1 0 0 44 48 64 -0.402602356814535
+14 0 1 0 0 46 48 64 -0.584101674265515
+14 0 1 0 0 48 48 64 -0.736366075521613
+14 0 1 0 0 50 48 64 -0.859223397121987
+14 0 1 0 0 52 48 64 -0.949713933987447
+14 0 1 0 0 54 48 64 -0.99626770991879
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 0.958927399240332
+15 0 2 0 0 28 48 64 0.922025459193271
+15 0 2 0 0 29 48 64 0.880149981028036
+15 0 2 0 0 30 48 64 0.821007997531328
+15 0 2 0 0 31 48 64 0.760512182976108
+15 0 2 0 0 32 48 64 0.684885977163543
+15 0 2 0 0 33 48 64 0.608051996146486
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+15 0 2 0 0 35 48 64 0.428839568407387
+15 0 2 0 0 36 48 64 0.33124132959367
+15 0 2 0 0 37 48 64 0.23124048163125
+15 0 2 0 0 38 48 64 0.128099443464029
+15 0 2 0 0 39 48 64 0.0241898388195493
+15 0 2 0 0 40 48 64 -0.0799490081055107
+15 0 2 0 0 41 48 64 -0.182899114370567
+15 0 2 0 0 42 48 64 -0.283661546088099
+15 0 2 0 0 43 48 64 -0.381948706254511
+15 0 2 0 0 44 48 64 -0.47587710032362
+15 0 2 0 0 45 48 64 -0.565262245816008
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 0.932173668542882
+16 0 2 0 0 28 48 64 0.886932665382805
+16 0 2 0 0 29 48 64 0.837996963975109
+16 0 2 0 0 30 48 64 0.771468628383565
+16 0 2 0 0 31 48 64 0.704486830599887
+16 0 2 0 0 32 48 64 0.622770373351595
+16 0 2 0 0 33 48 64 0.540791504955769
+16 0 2 0 0 34 48 64 0.447254749195197
+16 0 2 0 0 35 48 64 0.353231058532879
+16 0 2 0 0 36 48 64 0.252393062663056
+16 0 2 0 0 37 48 64 0.150548134389386
+16 0 2 0 0 38 48 64 0.0462049942665864
+16 0 2 0 0 39 48 64 -0.0578417448001501
+16 0 2 0 0 40 48 64 -0.161206617928903
+16 0 2 0 0 41 48 64 -0.262721198364199
+16 0 2 0 0 42 48 64 -0.361074842815271
+16 0 2 0 0 43 48 64 -0.456321083548988
+16 0 2 0 0 44 48 64 -0.54643462922253
+16 0 2 0 0 45 48 64 -0.630931643559442
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0.838850933362769
+16 0 1 0 0 20 48 64 0.935540547645333
+16 0 1 0 0 22 48 64 0.994488866820748
+16 0 1 0 0 24 48 64 0.993790164123184
+16 0 1 0 0 26 48 64 0.966504094686268
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+16 0 1 0 0 30 48 64 0.771468628383565
+16 0 1 0 0 32 48 64 0.622770373351595
+16 0 1 0 0 34 48 64 0.447254749195197
+16 0 1 0 0 36 48 64 0.252393062663056
+16 0 1 0 0 38 48 64 0.0462049942665864
+16 0 1 0 0 40 48 64 -0.161206617928903
+16 0 1 0 0 42 48 64 -0.361074842815271
+16 0 1 0 0 44 48 64 -0.54643462922253
+16 0 1 0 0 46 48 64 -0.708139165976353
+16 0 1 0 0 48 48 64 -0.835293556349929
+16 0 1 0 0 50 48 64 -0.930066233899338
+16 0 1 0 0 52 48 64 -0.991108313412968
+16 0 1 0 0 54 48 64 -1.00350008646033
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -0.785400983552274
+16 0 0 0 0 4 48 64 -0.462470086885686
+16 0 0 0 0 8 48 64 -0.0594243413235221
+16 0 0 0 0 12 48 64 0.353919660461266
+16 0 0 0 0 16 48 64 0.705944092909414
+16 0 0 0 0 20 48 64 0.935540547645333
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+16 0 0 0 0 28 48 64 0.886932665382805
+16 0 0 0 0 32 48 64 0.622770373351595
+16 0 0 0 0 36 48 64 0.252393062663056
+16 0 0 0 0 40 48 64 -0.161206617928903
+16 0 0 0 0 44 48 64 -0.54643462922253
+16 0 0 0 0 48 48 64 -0.835293556349929
+16 0 0 0 0 52 48 64 -0.991108313412968
+16 0 0 0 0 56 48 64 -0.973203114289668
+16 0 0 0 0 60 48 64 -0.785400983552274
+16 0 0 0 0 64 48 64 -0.462470086885686
+16 0 0 0 0 68 48 64 -0.0594243413235221
+16 0 0 0 0 72 48 64 0.353919660461266
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 0.899324307121523
+17 0 2 0 0 28 48 64 0.846003214645581
+17 0 2 0 0 29 48 64 0.790188721684464
+17 0 2 0 0 30 48 64 0.716644650041448
+17 0 2 0 0 31 48 64 0.643698445325655
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+17 0 2 0 0 36 48 64 0.171790094564383
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+17 0 2 0 0 39 48 64 -0.139445497497659
+17 0 2 0 0 40 48 64 -0.241356076837281
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+17 0 2 0 0 42 48 64 -0.436086526937216
+17 0 2 0 0 43 48 64 -0.527641942562843
+17 0 2 0 0 44 48 64 -0.612804928497989
+17 0 2 0 0 45 48 64 -0.691858880950144
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 0.860092882486103
+18 0 2 0 0 28 48 64 0.799029207235338
+18 0 2 0 0 29 48 64 0.737052229006281
+18 0 2 0 0 30 48 64 0.656913092287482
+18 0 2 0 0 31 48 64 0.578569011674145
+18 0 2 0 0 32 48 64 0.486371620434245
+18 0 2 0 0 33 48 64 0.395649882967159
+18 0 2 0 0 34 48 64 0.294289212076919
+18 0 2 0 0 35 48 64 0.195349675174987
+18 0 2 0 0 36 48 64 0.0900006603758642
+18 0 2 0 0 37 48 64 -0.0132434457000006
+18 0 2 0 0 38 48 64 -0.117878543798558
+18 0 2 0 0 39 48 64 -0.22006898926752
+18 0 2 0 0 40 48 64 -0.319870916984534
+18 0 2 0 0 41 48 64 -0.416624093619561
+18 0 2 0 0 42 48 64 -0.508164727742772
+18 0 2 0 0 43 48 64 -0.595412266996054
+18 0 2 0 0 44 48 64 -0.675478003154424
+18 0 2 0 0 45 48 64 -0.748516131962092
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0.916538031052666
+18 0 1 0 0 20 48 64 0.981617002960029
+18 0 1 0 0 22 48 64 1.00633759825742
+18 0 1 0 0 24 48 64 0.9704033382268
+18 0 1 0 0 26 48 64 0.910985145016055
+18 0 1 0 0 28 48 64 0.799029207235338
+18 0 1 0 0 30 48 64 0.656913092287482
+18 0 1 0 0 32 48 64 0.486371620434245
+18 0 1 0 0 34 48 64 0.294289212076919
+18 0 1 0 0 36 48 64 0.0900006603758642
+18 0 1 0 0 38 48 64 -0.117878543798558
+18 0 1 0 0 40 48 64 -0.319870916984534
+18 0 1 0 0 42 48 64 -0.508164727742772
+18 0 1 0 0 44 48 64 -0.675478003154424
+18 0 1 0 0 46 48 64 -0.813018686978476
+18 0 1 0 0 48 48 64 -0.912146339764763
+18 0 1 0 0 50 48 64 -0.976532058482793
+18 0 1 0 0 52 48 64 -1.00530824702886
+18 0 1 0 0 54 48 64 -0.984035770728606
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 0.815350440001792
+19 0 2 0 0 28 48 64 0.746886467214306
+19 0 2 0 0 29 48 64 0.678950926931599
+19 0 2 0 0 30 48 64 0.592673535172691
+19 0 2 0 0 31 48 64 0.509549360583464
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+19 0 2 0 0 33 48 64 0.318766312142662
+19 0 2 0 0 34 48 64 0.214596499523822
+19 0 2 0 0 35 48 64 0.114152374351124
+19 0 2 0 0 36 48 64 0.00761195522317316
+19 0 2 0 0 37 48 64 -0.0951966033307777
+19 0 2 0 0 38 48 64 -0.198939267276875
+19 0 2 0 0 39 48 64 -0.2991677121192
+19 0 2 0 0 40 48 64 -0.396233898084331
+19 0 2 0 0 41 48 64 -0.489664323791891
+19 0 2 0 0 42 48 64 -0.57682233971736
+19 0 2 0 0 43 48 64 -0.659163628006995
+19 0 2 0 0 44 48 64 -0.733141485930393
+19 0 2 0 0 45 48 64 -0.799716353424731
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 0.764659415205309
+20 0 2 0 0 28 48 64 0.68928305322841
+20 0 2 0 0 29 48 64 0.616292153577239
+20 0 2 0 0 30 48 64 0.524378149893508
+20 0 2 0 0 31 48 64 0.437118042561305
+20 0 2 0 0 32 48 64 0.336769951560306
+20 0 2 0 0 33 48 64 0.239719792306721
+20 0 2 0 0 34 48 64 0.133507959147627
+20 0 2 0 0 35 48 64 0.0321935884716705
+20 0 2 0 0 36 48 64 -0.0747771250552153
+20 0 2 0 0 37 48 64 -0.176425985313932
+20 0 2 0 0 38 48 64 -0.278605592089514
+20 0 2 0 0 39 48 64 -0.376209049318906
+20 0 2 0 0 40 48 64 -0.469939630960516
+20 0 2 0 0 41 48 64 -0.55942056590355
+20 0 2 0 0 42 48 64 -0.641568233167656
+20 0 2 0 0 43 48 64 -0.718448687753992
+20 0 2 0 0 44 48 64 -0.78623283257971
+20 0 2 0 0 45 48 64 -0.845865294455396
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0.971754160609055
+20 0 1 0 0 20 48 64 1.00287630770751
+20 0 1 0 0 22 48 64 0.991032382870175
+20 0 1 0 0 24 48 64 0.921059037677398
+20 0 1 0 0 26 48 64 0.830915264822186
+20 0 1 0 0 28 48 64 0.68928305322841
+20 0 1 0 0 30 48 64 0.524378149893508
+20 0 1 0 0 32 48 64 0.336769951560306
+20 0 1 0 0 34 48 64 0.133507959147627
+20 0 1 0 0 36 48 64 -0.0747771250552153
+20 0 1 0 0 38 48 64 -0.278605592089514
+20 0 1 0 0 40 48 64 -0.469939630960516
+20 0 1 0 0 42 48 64 -0.641568233167656
+20 0 1 0 0 44 48 64 -0.78623283257971
+20 0 1 0 0 46 48 64 -0.896042765882623
+20 0 1 0 0 48 48 64 -0.965033194132403
+20 0 1 0 0 50 48 64 -0.997378067034926
+20 0 1 0 0 52 48 64 -0.993698032450287
+20 0 1 0 0 54 48 64 -0.938112736618853
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -0.544109835381725
+20 0 0 0 0 4 48 64 -0.152945249728061
+20 0 0 0 0 8 48 64 0.265013709557117
+20 0 0 0 0 12 48 64 0.637111051807843
+20 0 0 0 0 16 48 64 0.898264129243606
+20 0 0 0 0 20 48 64 1.00287630770751
+20 0 0 0 0 24 48 64 0.921059037677398
+20 0 0 0 0 28 48 64 0.68928305322841
+20 0 0 0 0 32 48 64 0.336769951560306
+20 0 0 0 0 36 48 64 -0.0747771250552153
+20 0 0 0 0 40 48 64 -0.469939630960516
+20 0 0 0 0 44 48 64 -0.78623283257971
+20 0 0 0 0 48 48 64 -0.965033194132403
+20 0 0 0 0 52 48 64 -0.993698032450287
+20 0 0 0 0 56 48 64 -0.842019057183894
+20 0 0 0 0 60 48 64 -0.544109835381725
+20 0 0 0 0 64 48 64 -0.152945249728061
+20 0 0 0 0 68 48 64 0.265013709557117
+20 0 0 0 0 72 48 64 0.637111051807843
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 0.709203494041008
+21 0 2 0 0 28 48 64 0.627330757603175
+21 0 2 0 0 29 48 64 0.549512948480864
+21 0 2 0 0 30 48 64 0.452485519340991
+21 0 2 0 0 31 48 64 0.36177470774553
+21 0 2 0 0 32 48 64 0.258242800743338
+21 0 2 0 0 33 48 64 0.159071500153849
+21 0 2 0 0 34 48 64 0.0515897937181005
+21 0 2 0 0 35 48 64 -0.0499564413421491
+21 0 2 0 0 36 48 64 -0.156565590174413
+21 0 2 0 0 37 48 64 -0.256373034911693
+21 0 2 0 0 38 48 64 -0.356339147733442
+21 0 2 0 0 39 48 64 -0.450676633790786
+21 0 2 0 0 40 48 64 -0.540497986480735
+21 0 2 0 0 41 48 64 -0.62540490230332
+21 0 2 0 0 42 48 64 -0.701964897675098
+21 0 2 0 0 43 48 64 -0.772863103225423
+21 0 2 0 0 44 48 64 -0.833644915998117
+21 0 2 0 0 45 48 64 -0.886011731494551
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 0.648391123493553
+22 0 2 0 0 28 48 64 0.56065898289676
+22 0 2 0 0 29 48 64 0.479083411508102
+22 0 2 0 0 30 48 64 0.377500286121423
+22 0 2 0 0 31 48 64 0.284039325741387
+22 0 2 0 0 32 48 64 0.177928041599695
+22 0 2 0 0 33 48 64 0.0773956073089265
+22 0 2 0 0 34 48 64 -0.0305932199269395
+22 0 2 0 0 35 48 64 -0.131723748711327
+22 0 2 0 0 36 48 64 -0.237161635947279
+22 0 2 0 0 37 48 64 -0.334498276862467
+22 0 2 0 0 38 48 64 -0.43162079257845
+22 0 2 0 0 39 48 64 -0.522074569828438
+22 0 2 0 0 40 48 64 -0.607437306927062
+22 0 2 0 0 41 48 64 -0.687156338965408
+22 0 2 0 0 42 48 64 -0.757586796906891
+22 0 2 0 0 43 48 64 -0.822032717413413
+22 0 2 0 0 44 48 64 -0.875746778553701
+22 0 2 0 0 45 48 64 -0.920466396288029
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 0.999688374688144
+22 0 1 0 0 20 48 64 0.996503878030569
+22 0 1 0 0 22 48 64 0.948945107646476
+22 0 1 0 0 24 48 64 0.847164689235263
+22 0 1 0 0 26 48 64 0.728359837769123
+22 0 1 0 0 28 48 64 0.56065898289676
+22 0 1 0 0 30 48 64 0.377500286121423
+22 0 1 0 0 32 48 64 0.177928041599695
+22 0 1 0 0 34 48 64 -0.0305932199269395
+22 0 1 0 0 36 48 64 -0.237161635947279
+22 0 1 0 0 38 48 64 -0.43162079257845
+22 0 1 0 0 40 48 64 -0.607437306927062
+22 0 1 0 0 42 48 64 -0.757586796906891
+22 0 1 0 0 44 48 64 -0.875746778553701
+22 0 1 0 0 46 48 64 -0.955141416195149
+22 0 1 0 0 48 48 64 -0.992694621011917
+22 0 1 0 0 50 48 64 -0.992095985435333
+22 0 1 0 0 52 48 64 -0.956028900094727
+22 0 1 0 0 54 48 64 -0.868466644121628
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 0.58369914321658
+23 0 2 0 0 28 48 64 0.490586722464473
+23 0 2 0 0 29 48 64 0.405492653058136
+23 0 2 0 0 30 48 64 0.299918530418444
+23 0 2 0 0 31 48 64 0.204444187419277
+23 0 2 0 0 32 48 64 0.0963691133605442
+23 0 2 0 0 33 48 64 -0.00472859299936251
+23 0 2 0 0 34 48 64 -0.112483627903193
+23 0 2 0 0 35 48 64 -0.212537346998359
+23 0 2 0 0 36 48 64 -0.315994455858404
+23 0 2 0 0 37 48 64 -0.410287074779038
+23 0 2 0 0 38 48 64 -0.503954114665762
+23 0 2 0 0 39 48 64 -0.589931315461796
+23 0 2 0 0 40 48 64 -0.670307460773245
+23 0 2 0 0 41 48 64 -0.744243274973077
+23 0 2 0 0 42 48 64 -0.808067023392194
+23 0 2 0 0 43 48 64 -0.8656345080958
+23 0 2 0 0 44 48 64 -0.911670686754033
+23 0 2 0 0 45 48 64 -0.948554466665273
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 0.514391907141441
+24 0 2 0 0 28 48 64 0.416674311854545
+24 0 2 0 0 29 48 64 0.329249127477285
+24 0 2 0 0 30 48 64 0.220278045107541
+24 0 2 0 0 31 48 64 0.123533660079348
+24 0 2 0 0 32 48 64 0.0141208557721461
+24 0 2 0 0 33 48 64 -0.0867245584335367
+24 0 2 0 0 34 48 64 -0.193536156657562
+24 0 2 0 0 35 48 64 -0.291836378113338
+24 0 2 0 0 36 48 64 -0.392525077038734
+24 0 2 0 0 37 48 64 -0.483253178769624
+24 0 2 0 0 38 48 64 -0.572867406785824
+24 0 2 0 0 39 48 64 -0.653802522298804
+24 0 2 0 0 40 48 64 -0.7286820695403
+24 0 2 0 0 41 48 64 -0.796272394753295
+24 0 2 0 0 42 48 64 -0.853063348150294
+24 0 2 0 0 43 48 64 -0.903381016592451
+24 0 2 0 0 44 48 64 -0.94170588509659
+24 0 2 0 0 45 48 64 -0.970470347564392
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 1.00152501754253
+24 0 1 0 0 20 48 64 0.963437908548268
+24 0 1 0 0 22 48 64 0.881297734535772
+24 0 1 0 0 24 48 64 0.75069641656794
+24 0 1 0 0 26 48 64 0.605984870431305
+24 0 1 0 0 28 48 64 0.416674311854545
+24 0 1 0 0 30 48 64 0.220278045107541
+24 0 1 0 0 32 48 64 0.0141208557721461
+24 0 1 0 0 34 48 64 -0.193536156657562
+24 0 1 0 0 36 48 64 -0.392525077038734
+24 0 1 0 0 38 48 64 -0.572867406785824
+24 0 1 0 0 40 48 64 -0.7286820695403
+24 0 1 0 0 42 48 64 -0.853063348150294
+24 0 1 0 0 44 48 64 -0.94170588509659
+24 0 1 0 0 46 48 64 -0.988907594669129
+24 0 1 0 0 48 48 64 -0.994481385639361
+24 0 1 0 0 50 48 64 -0.960715984679717
+24 0 1 0 0 52 48 64 -0.892383773156353
+24 0 1 0 0 54 48 64 -0.77391612695477
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -0.244974042026764
+24 0 0 0 0 4 48 64 0.173462004643304
+24 0 0 0 0 8 48 64 0.562406504720607
+24 0 0 0 0 12 48 64 0.853869709580458
+24 0 0 0 0 16 48 64 0.995679115573382
+24 0 0 0 0 20 48 64 0.963437908548268
+24 0 0 0 0 24 48 64 0.75069641656794
+24 0 0 0 0 28 48 64 0.416674311854545
+24 0 0 0 0 32 48 64 0.0141208557721461
+24 0 0 0 0 36 48 64 -0.392525077038734
+24 0 0 0 0 40 48 64 -0.7286820695403
+24 0 0 0 0 44 48 64 -0.94170588509659
+24 0 0 0 0 48 48 64 -0.994481385639361
+24 0 0 0 0 52 48 64 -0.892383773156353
+24 0 0 0 0 56 48 64 -0.621405683333826
+24 0 0 0 0 60 48 64 -0.244974042026764
+24 0 0 0 0 64 48 64 0.173462004643304
+24 0 0 0 0 68 48 64 0.562406504720607
+24 0 0 0 0 72 48 64 0.853869709580458
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/u.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/u.yl
new file mode 100644
index 000000000..52548611d
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/u.yl
@@ -0,0 +1,1397 @@
+# HYDROTOY::u y (u)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0.800541240924359
+0 0 2 0 0 36 40 64 0.84125353283118
+0 0 2 0 0 36 41 64 0.877678989567255
+0 0 2 0 0 36 42 64 0.909631995354518
+0 0 2 0 0 36 43 64 0.936949724999761
+0 0 2 0 0 36 44 64 0.959492973614497
+0 0 2 0 0 36 45 64 0.977146865971159
+0 0 2 0 0 36 46 64 0.989821441880933
+0 0 2 0 0 36 47 64 0.997452114610254
+0 0 2 0 0 36 48 64 1
+0 0 2 0 0 36 49 64 0.997452114610254
+0 0 2 0 0 36 50 64 0.989821441880933
+0 0 2 0 0 36 51 64 0.977146865971159
+0 0 2 0 0 36 52 64 0.959492973614497
+0 0 2 0 0 36 53 64 0.936949724999761
+0 0 2 0 0 36 54 64 0.909631995354518
+0 0 2 0 0 36 55 64 0.877678989567255
+0 0 2 0 0 36 56 64 0.84125353283118
+0 0 2 0 0 36 57 64 0.800541240924359
+0 0 2 0 0 36 58 64 0.755749574354257
+0 0 2 0 0 36 59 64 0.707106781186546
+0 0 2 0 0 36 60 64 0.654860733945283
+0 0 2 0 0 36 61 64 0.599277666511345
+0 0 2 0 0 36 62 64 0.540640817455595
+0 0 2 0 0 36 63 64 0.479248986720054
+0 0 2 0 0 36 64 64 0.415415013001883
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 -4.60170638573454e-15
+0 0 1 0 0 36 28 64 0.142314838273281
+0 0 1 0 0 36 30 64 0.281732556841426
+0 0 1 0 0 36 32 64 0.415415013001883
+0 0 1 0 0 36 34 64 0.540640817455595
+0 0 1 0 0 36 36 64 0.654860733945283
+0 0 1 0 0 36 38 64 0.755749574354257
+0 0 1 0 0 36 40 64 0.84125353283118
+0 0 1 0 0 36 42 64 0.909631995354518
+0 0 1 0 0 36 44 64 0.959492973614497
+0 0 1 0 0 36 46 64 0.989821441880933
+0 0 1 0 0 36 48 64 1
+0 0 1 0 0 36 50 64 0.989821441880933
+0 0 1 0 0 36 52 64 0.959492973614497
+0 0 1 0 0 36 54 64 0.909631995354518
+0 0 1 0 0 36 56 64 0.84125353283118
+0 0 1 0 0 36 58 64 0.755749574354257
+0 0 1 0 0 36 60 64 0.654860733945283
+0 0 1 0 0 36 62 64 0.540640817455595
+0 0 1 0 0 36 64 64 0.415415013001883
+0 0 1 0 0 36 66 64 0.281732556841426
+0 0 1 0 0 36 68 64 0.142314838273281
+0 0 1 0 0 36 70 64 -4.82375099065957e-15
+0 0 1 0 0 36 72 64 -0.142314838273291
+0 0 1 0 0 36 74 64 -0.281732556841435
+0 0 1 0 0 36 76 64 -0.415415013001892
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -0.959492973614494
+0 0 0 0 0 36 4 64 -1
+0 0 0 0 0 36 8 64 -0.9594929736145
+0 0 0 0 0 36 12 64 -0.841253532831185
+0 0 0 0 0 36 16 64 -0.65486073394529
+0 0 0 0 0 36 20 64 -0.415415013001892
+0 0 0 0 0 36 24 64 -0.14231483827329
+0 0 0 0 0 36 28 64 0.142314838273281
+0 0 0 0 0 36 32 64 0.415415013001883
+0 0 0 0 0 36 36 64 0.654860733945283
+0 0 0 0 0 36 40 64 0.84125353283118
+0 0 0 0 0 36 44 64 0.959492973614497
+0 0 0 0 0 36 48 64 1
+0 0 0 0 0 36 52 64 0.959492973614497
+0 0 0 0 0 36 56 64 0.84125353283118
+0 0 0 0 0 36 60 64 0.654860733945283
+0 0 0 0 0 36 64 64 0.415415013001883
+0 0 0 0 0 36 68 64 0.142314838273281
+0 0 0 0 0 36 72 64 -0.142314838273291
+0 0 0 0 0 36 76 64 -0.415415013001892
+0 0 0 0 0 36 80 64 -0.65486073394529
+0 0 0 0 0 36 84 64 -0.841253532831186
+0 0 0 0 0 36 88 64 -0.9594929736145
+0 0 0 0 0 36 92 64 -1
+0 0 0 0 0 36 96 64 -0.959492973614494
+0 0 0 0 0 36 100 64 -0.841253532831175
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 0.846843758495474
+1 0 2 0 0 36 40 64 0.882638189143393
+1 0 2 0 0 36 41 64 0.914213976110396
+1 0 2 0 0 36 42 64 0.940661561082913
+1 0 2 0 0 36 43 64 0.962474734286847
+1 0 2 0 0 36 44 64 0.979383356863803
+1 0 2 0 0 36 45 64 0.99130126634893
+1 0 2 0 0 36 46 64 0.998167731807322
+1 0 2 0 0 36 47 64 0.999947763304937
+1 0 2 0 0 36 48 64 0.996632290209284
+1 0 2 0 0 36 49 64 0.988238207411283
+1 0 2 0 0 36 50 64 0.974808289232777
+1 0 2 0 0 36 51 64 0.956410971458392
+1 0 2 0 0 36 52 64 0.933140002602462
+1 0 2 0 0 36 53 64 0.905113966188094
+1 0 2 0 0 36 54 64 0.872475676472715
+1 0 2 0 0 36 55 64 0.835391450699347
+1 0 2 0 0 36 56 64 0.794050261582068
+1 0 2 0 0 36 57 64 0.748662774344369
+1 0 2 0 0 36 58 64 0.699460273217473
+1 0 2 0 0 36 59 64 0.646693482868899
+1 0 2 0 0 36 60 64 0.590631290767033
+1 0 2 0 0 36 61 64 0.531559376992222
+1 0 2 0 0 36 62 64 0.469702903155495
+1 0 2 0 0 36 63 64 0.405942513358111
+1 0 2 0 0 36 64 64 0.339713376545664
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 0.887735080968129
+2 0 2 0 0 36 40 64 0.918335765219103
+2 0 2 0 0 36 41 64 0.944576634541874
+2 0 2 0 0 36 42 64 0.965246999431349
+2 0 2 0 0 36 43 64 0.981511414263247
+2 0 2 0 0 36 44 64 0.992666300213519
+2 0 2 0 0 36 45 64 0.998767754485118
+2 0 2 0 0 36 46 64 0.999779717217912
+2 0 2 0 0 36 47 64 0.995697031681777
+2 0 2 0 0 36 48 64 0.98654050230637
+2 0 2 0 0 36 49 64 0.972356788666525
+2 0 2 0 0 36 50 64 0.953218167715751
+2 0 2 0 0 36 51 64 0.929222165479449
+2 0 2 0 0 36 52 64 0.90049106008464
+2 0 2 0 0 36 53 64 0.867171258658657
+2 0 2 0 0 36 54 64 0.829432551271984
+2 0 2 0 0 36 55 64 0.78746724572698
+2 0 2 0 0 36 56 64 0.741489187601393
+2 0 2 0 0 36 57 64 0.691732670540316
+2 0 2 0 0 36 58 64 0.63845124234948
+2 0 2 0 0 36 59 64 0.581916412973748
+2 0 2 0 0 36 60 64 0.522413900465893
+2 0 2 0 0 36 61 64 0.460224719879587
+2 0 2 0 0 36 62 64 0.395606483106318
+2 0 2 0 0 36 63 64 0.329501301393974
+2 0 2 0 0 36 64 64 0.261303073357463
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 0.160432558454101
+2 0 1 0 0 36 28 64 0.299355363480423
+2 0 1 0 0 36 30 64 0.434887450436028
+2 0 1 0 0 36 32 64 0.55844492057536
+2 0 1 0 0 36 34 64 0.670832090622102
+2 0 1 0 0 36 36 64 0.76956305382378
+2 0 1 0 0 36 38 64 0.852627932486192
+2 0 1 0 0 36 40 64 0.918335765219103
+2 0 1 0 0 36 42 64 0.965246999431349
+2 0 1 0 0 36 44 64 0.992666300213519
+2 0 1 0 0 36 46 64 0.999779717217912
+2 0 1 0 0 36 48 64 0.98654050230637
+2 0 1 0 0 36 50 64 0.953218167715751
+2 0 1 0 0 36 52 64 0.90049106008464
+2 0 1 0 0 36 54 64 0.829432551271984
+2 0 1 0 0 36 56 64 0.741489187601393
+2 0 1 0 0 36 58 64 0.63845124234948
+2 0 1 0 0 36 60 64 0.522413900465893
+2 0 1 0 0 36 62 64 0.395606483106318
+2 0 1 0 0 36 64 64 0.261303073357463
+2 0 1 0 0 36 66 64 0.121259907983552
+2 0 1 0 0 36 68 64 -0.0212517594322059
+2 0 1 0 0 36 70 64 -0.163330802310938
+2 0 1 0 0 36 72 64 -0.301789547539521
+2 0 1 0 0 36 74 64 -0.432092373697179
+2 0 1 0 0 36 76 64 -0.556165730036812
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0.922403923088012
+3 0 2 0 0 36 40 64 0.947623889687703
+3 0 2 0 0 36 41 64 0.96854865179105
+3 0 2 0 0 36 42 64 0.983237066340403
+3 0 2 0 0 36 43 64 0.993941035760071
+3 0 2 0 0 36 44 64 0.999246131945411
+3 0 2 0 0 36 45 64 0.999496035175371
+3 0 2 0 0 36 46 64 0.994646446055412
+3 0 2 0 0 36 47 64 0.98472852189746
+3 0 2 0 0 36 48 64 0.969792646911889
+3 0 2 0 0 36 49 64 0.949914930894018
+3 0 2 0 0 36 50 64 0.925196666128293
+3 0 2 0 0 36 51 64 0.895763811226027
+3 0 2 0 0 36 52 64 0.861766349269188
+3 0 2 0 0 36 53 64 0.823377523530993
+3 0 2 0 0 36 54 64 0.780792954667897
+3 0 2 0 0 36 55 64 0.734229643881571
+3 0 2 0 0 36 56 64 0.683924867130515
+3 0 2 0 0 36 57 64 0.630134966026168
+3 0 2 0 0 36 58 64 0.573133967497345
+3 0 2 0 0 36 59 64 0.51321039612458
+3 0 2 0 0 36 60 64 0.45066526947718
+3 0 2 0 0 36 61 64 0.385763301048234
+3 0 2 0 0 36 62 64 0.318843048487129
+3 0 2 0 0 36 63 64 0.251068361548999
+3 0 2 0 0 36 64 64 0.181622729233937
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0.95110537570999
+4 0 2 0 0 36 40 64 0.970743353006063
+4 0 2 0 0 36 41 64 0.985965479541082
+4 0 2 0 0 36 42 64 0.994523194095754
+4 0 2 0 0 36 43 64 0.999685297051554
+4 0 2 0 0 36 44 64 0.999067312823913
+4 0 2 0 0 36 45 64 0.993482200155461
+4 0 2 0 0 36 46 64 0.982802196788913
+4 0 2 0 0 36 47 64 0.967116164528913
+4 0 2 0 0 36 48 64 0.946501642314714
+4 0 2 0 0 36 49 64 0.921063969540669
+4 0 2 0 0 36 50 64 0.890932765904596
+4 0 2 0 0 36 51 64 0.856261573113533
+4 0 2 0 0 36 52 64 0.817227067618596
+4 0 2 0 0 36 53 64 0.774028160312276
+4 0 2 0 0 36 54 64 0.726884982924133
+4 0 2 0 0 36 55 64 0.676037766279953
+4 0 2 0 0 36 56 64 0.621745613825609
+4 0 2 0 0 36 57 64 0.564285086385888
+4 0 2 0 0 36 58 64 0.503948628181959
+4 0 2 0 0 36 59 64 0.441036010021081
+4 0 2 0 0 36 60 64 0.37586556784684
+4 0 2 0 0 36 61 64 0.308702283180952
+4 0 2 0 0 36 62 64 0.239944774644492
+4 0 2 0 0 36 63 64 0.170699713817812
+4 0 2 0 0 36 64 64 0.100192802242866
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0.320195163949167
+4 0 1 0 0 36 28 64 0.452002019295973
+4 0 1 0 0 36 30 64 0.576437219105059
+4 0 1 0 0 36 32 64 0.686273359409448
+4 0 1 0 0 36 34 64 0.783037566642035
+4 0 1 0 0 36 36 64 0.863619219378005
+4 0 1 0 0 36 38 64 0.926623078325413
+4 0 1 0 0 36 40 64 0.970743353006063
+4 0 1 0 0 36 42 64 0.994523194095754
+4 0 1 0 0 36 44 64 0.999067312823913
+4 0 1 0 0 36 46 64 0.982802196788913
+4 0 1 0 0 36 48 64 0.946501642314714
+4 0 1 0 0 36 50 64 0.890932765904596
+4 0 1 0 0 36 52 64 0.817227067618596
+4 0 1 0 0 36 54 64 0.726884982924133
+4 0 1 0 0 36 56 64 0.621745613825609
+4 0 1 0 0 36 58 64 0.503948628181959
+4 0 1 0 0 36 60 64 0.37586556784684
+4 0 1 0 0 36 62 64 0.239944774644492
+4 0 1 0 0 36 64 64 0.100192802242866
+4 0 1 0 0 36 66 64 -0.0425108546185317
+4 0 1 0 0 36 68 64 -0.184267513912292
+4 0 1 0 0 36 70 64 -0.322024676883886
+4 0 1 0 0 36 72 64 -0.453152121957099
+4 0 1 0 0 36 74 64 -0.574468832385415
+4 0 1 0 0 36 76 64 -0.685417277112103
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 -1.00051323460778
+4 0 0 0 0 36 4 64 -0.948719671596804
+4 0 0 0 0 36 8 64 -0.820066483046201
+4 0 0 0 0 36 12 64 -0.624976385162354
+4 0 0 0 0 36 16 64 -0.379254417430333
+4 0 0 0 0 36 20 64 -0.102807512310972
+4 0 0 0 0 36 24 64 0.181968246036004
+4 0 0 0 0 36 28 64 0.452002019295973
+4 0 0 0 0 36 32 64 0.686273359409448
+4 0 0 0 0 36 36 64 0.863619219378005
+4 0 0 0 0 36 40 64 0.970743353006063
+4 0 0 0 0 36 44 64 0.999067312823913
+4 0 0 0 0 36 48 64 0.946501642314714
+4 0 0 0 0 36 52 64 0.817227067618596
+4 0 0 0 0 36 56 64 0.621745613825609
+4 0 0 0 0 36 60 64 0.37586556784684
+4 0 0 0 0 36 64 64 0.100192802242866
+4 0 0 0 0 36 68 64 -0.184267513912292
+4 0 0 0 0 36 72 64 -0.453152121957099
+4 0 0 0 0 36 76 64 -0.685417277112103
+4 0 0 0 0 36 80 64 -0.863304103470106
+4 0 0 0 0 36 84 64 -0.971251165632156
+4 0 0 0 0 36 88 64 -1.00051323460778
+4 0 0 0 0 36 92 64 -0.948719671596804
+4 0 0 0 0 36 96 64 -0.820066483046201
+4 0 0 0 0 36 100 64 -0.624976385162354
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0.973228802297975
+5 0 2 0 0 36 40 64 0.987151003241097
+5 0 2 0 0 36 41 64 0.996707485026946
+5 0 2 0 0 36 42 64 0.999064156677068
+5 0 2 0 0 36 43 64 0.998707772465216
+5 0 2 0 0 36 44 64 0.99211759371913
+5 0 2 0 0 36 45 64 0.980769001191977
+5 0 2 0 0 36 46 64 0.96432553625048
+5 0 2 0 0 36 47 64 0.942978761301711
+5 0 2 0 0 36 48 64 0.916824524749787
+5 0 2 0 0 36 49 64 0.885998465893542
+5 0 2 0 0 36 50 64 0.850657550229862
+5 0 2 0 0 36 51 64 0.810981878709236
+5 0 2 0 0 36 52 64 0.767173629546858
+5 0 2 0 0 36 53 64 0.719456039304644
+5 0 2 0 0 36 54 64 0.668072266039995
+5 0 2 0 0 36 55 64 0.613284145135827
+5 0 2 0 0 36 56 64 0.555370841525989
+5 0 2 0 0 36 57 64 0.494626846043916
+5 0 2 0 0 36 58 64 0.431360928885677
+5 0 2 0 0 36 59 64 0.365877828867326
+5 0 2 0 0 36 60 64 0.298518577417631
+5 0 2 0 0 36 61 64 0.229571055089493
+5 0 2 0 0 36 62 64 0.159465190271741
+5 0 2 0 0 36 63 64 0.0894514189251538
+5 0 2 0 0 36 64 64 0.0186097545022283
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0.988921189774504
+6 0 2 0 0 36 40 64 0.997027891037166
+6 0 2 0 0 36 41 64 1.00071187800735
+6 0 2 0 0 36 42 64 0.996857442814982
+6 0 2 0 0 36 43 64 0.9910121114486
+6 0 2 0 0 36 44 64 0.978431547898393
+6 0 2 0 0 36 45 64 0.961445343459516
+6 0 2 0 0 36 46 64 0.939337964980308
+6 0 2 0 0 36 47 64 0.912479219823803
+6 0 2 0 0 36 48 64 0.880961227748025
+6 0 2 0 0 36 49 64 0.844954804480292
+6 0 2 0 0 36 50 64 0.804642553902948
+6 0 2 0 0 36 51 64 0.760230032618729
+6 0 2 0 0 36 52 64 0.711943554387565
+6 0 2 0 0 36 53 64 0.660029173361655
+6 0 2 0 0 36 54 64 0.604751434975068
+6 0 2 0 0 36 55 64 0.546391979273503
+6 0 2 0 0 36 56 64 0.485248107455337
+6 0 2 0 0 36 57 64 0.421629260462816
+6 0 2 0 0 36 58 64 0.355858949998583
+6 0 2 0 0 36 59 64 0.288242553423156
+6 0 2 0 0 36 60 64 0.219148037400001
+6 0 2 0 0 36 61 64 0.148927242040753
+6 0 2 0 0 36 62 64 0.0779501376618205
+6 0 2 0 0 36 63 64 0.00731235311659914
+6 0 2 0 0 36 64 64 -0.0636585680273028
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0.467911509348912
+6 0 1 0 0 36 28 64 0.589255846106157
+6 0 1 0 0 36 30 64 0.702501806054214
+6 0 1 0 0 36 32 64 0.795479566795861
+6 0 1 0 0 36 34 64 0.87425996779985
+6 0 1 0 0 36 36 64 0.934486367144312
+6 0 1 0 0 36 38 64 0.975722588986564
+6 0 1 0 0 36 40 64 0.997027891037166
+6 0 1 0 0 36 42 64 0.996857442814982
+6 0 1 0 0 36 44 64 0.978431547898393
+6 0 1 0 0 36 46 64 0.939337964980308
+6 0 1 0 0 36 48 64 0.880961227748025
+6 0 1 0 0 36 50 64 0.804642553902948
+6 0 1 0 0 36 52 64 0.711943554387565
+6 0 1 0 0 36 54 64 0.604751434975068
+6 0 1 0 0 36 56 64 0.485248107455337
+6 0 1 0 0 36 58 64 0.355858949998583
+6 0 1 0 0 36 60 64 0.219148037400001
+6 0 1 0 0 36 62 64 0.0779501376618205
+6 0 1 0 0 36 64 64 -0.0636585680273028
+6 0 1 0 0 36 66 64 -0.205192341027414
+6 0 1 0 0 36 68 64 -0.342326808268247
+6 0 1 0 0 36 70 64 -0.471849963327002
+6 0 1 0 0 36 72 64 -0.592212577838032
+6 0 1 0 0 36 74 64 -0.699113028947863
+6 0 1 0 0 36 76 64 -0.793912736129098
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 0.997876882997989
+7 0 2 0 0 36 40 64 1.00010255933115
+7 0 2 0 0 36 41 64 0.997958341750875
+7 0 2 0 0 36 42 64 0.987951833905678
+7 0 2 0 0 36 43 64 0.976644277459009
+7 0 2 0 0 36 44 64 0.95809386944128
+7 0 2 0 0 36 45 64 0.935644858876132
+7 0 2 0 0 36 46 64 0.908002407075992
+7 0 2 0 0 36 47 64 0.875823404375184
+7 0 2 0 0 36 48 64 0.839152841904983
+7 0 2 0 0 36 49 64 0.798209388867865
+7 0 2 0 0 36 50 64 0.753197710472579
+7 0 2 0 0 36 51 64 0.704347945817723
+7 0 2 0 0 36 52 64 0.651908987178792
+7 0 2 0 0 36 53 64 0.596148039146837
+7 0 2 0 0 36 54 64 0.537349256265124
+7 0 2 0 0 36 55 64 0.475812058733377
+7 0 2 0 0 36 56 64 0.411849847673253
+7 0 2 0 0 36 57 64 0.345783304453782
+7 0 2 0 0 36 58 64 0.277950018731586
+7 0 2 0 0 36 59 64 0.208656492510936
+7 0 2 0 0 36 60 64 0.138296343395024
+7 0 2 0 0 36 61 64 0.0673157785608875
+7 0 2 0 0 36 62 64 -0.00404024110071891
+7 0 2 0 0 36 63 64 -0.0745317055590793
+7 0 2 0 0 36 64 64 -0.144985028983082
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 1.00012361314013
+8 0 2 0 0 36 40 64 0.996465493810756
+8 0 2 0 0 36 41 64 0.988479605630784
+8 0 2 0 0 36 42 64 0.972429476548153
+8 0 2 0 0 36 43 64 0.955692364465681
+8 0 2 0 0 36 44 64 0.931241073851453
+8 0 2 0 0 36 45 64 0.903543785435992
+8 0 2 0 0 36 46 64 0.87052187761938
+8 0 2 0 0 36 47 64 0.833258544121521
+8 0 2 0 0 36 48 64 0.791679348020936
+8 0 2 0 0 36 49 64 0.746076454448277
+8 0 2 0 0 36 50 64 0.696668899390138
+8 0 2 0 0 36 51 64 0.643711496251945
+8 0 2 0 0 36 52 64 0.587473870194757
+8 0 2 0 0 36 53 64 0.528242566704537
+8 0 2 0 0 36 54 64 0.466319453871886
+8 0 2 0 0 36 55 64 0.402019394782116
+8 0 2 0 0 36 56 64 0.335669865516839
+8 0 2 0 0 36 57 64 0.26759867800249
+8 0 2 0 0 36 58 64 0.198157758234811
+8 0 2 0 0 36 59 64 0.127662104910621
+8 0 2 0 0 36 60 64 0.0565169969397587
+8 0 2 0 0 36 61 64 -0.0146965980972927
+8 0 2 0 0 36 62 64 -0.0859595183429788
+8 0 2 0 0 36 63 64 -0.156253862809014
+8 0 2 0 0 36 64 64 -0.225912007152656
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0.607480707319265
+8 0 1 0 0 36 28 64 0.714783163782234
+8 0 1 0 0 36 30 64 0.809665280266265
+8 0 1 0 0 36 32 64 0.882977660552486
+8 0 1 0 0 36 34 64 0.942044115260511
+8 0 1 0 0 36 36 64 0.980223890750315
+8 0 1 0 0 36 38 64 0.998565812355346
+8 0 1 0 0 36 40 64 0.996465493810756
+8 0 1 0 0 36 42 64 0.972429476548153
+8 0 1 0 0 36 44 64 0.931241073851453
+8 0 1 0 0 36 46 64 0.87052187761938
+8 0 1 0 0 36 48 64 0.791679348020936
+8 0 1 0 0 36 50 64 0.696668899390138
+8 0 1 0 0 36 52 64 0.587473870194757
+8 0 1 0 0 36 54 64 0.466319453871886
+8 0 1 0 0 36 56 64 0.335669865516839
+8 0 1 0 0 36 58 64 0.198157758234811
+8 0 1 0 0 36 60 64 0.0565169969397587
+8 0 1 0 0 36 62 64 -0.0859595183429788
+8 0 1 0 0 36 64 64 -0.225912007152656
+8 0 1 0 0 36 66 64 -0.362395082717802
+8 0 1 0 0 36 68 64 -0.49117334425683
+8 0 1 0 0 36 70 64 -0.608714801652168
+8 0 1 0 0 36 72 64 -0.715255215606285
+8 0 1 0 0 36 74 64 -0.808253596368512
+8 0 1 0 0 36 76 64 -0.88473774645402
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 -0.936397049231443
+8 0 0 0 0 36 4 64 -0.79750835846836
+8 0 0 0 0 36 8 64 -0.594010283467016
+8 0 0 0 0 36 12 64 -0.342389028014344
+8 0 0 0 0 36 16 64 -0.0630294497779055
+8 0 0 0 0 36 20 64 0.221436399628968
+8 0 0 0 0 36 24 64 0.487989541442671
+8 0 0 0 0 36 28 64 0.714783163782234
+8 0 0 0 0 36 32 64 0.882977660552486
+8 0 0 0 0 36 36 64 0.980223890750315
+8 0 0 0 0 36 40 64 0.996465493810756
+8 0 0 0 0 36 44 64 0.931241073851453
+8 0 0 0 0 36 48 64 0.791679348020936
+8 0 0 0 0 36 52 64 0.587473870194757
+8 0 0 0 0 36 56 64 0.335669865516839
+8 0 0 0 0 36 60 64 0.0565169969397587
+8 0 0 0 0 36 64 64 -0.225912007152656
+8 0 0 0 0 36 68 64 -0.49117334425683
+8 0 0 0 0 36 72 64 -0.715255215606285
+8 0 0 0 0 36 76 64 -0.88473774645402
+8 0 0 0 0 36 80 64 -0.981520308838447
+8 0 0 0 0 36 84 64 -0.999424420033477
+8 0 0 0 0 36 88 64 -0.936397049231443
+8 0 0 0 0 36 92 64 -0.79750835846836
+8 0 0 0 0 36 96 64 -0.594010283467016
+8 0 0 0 0 36 100 64 -0.342389028014344
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 0.99564526118844
+9 0 2 0 0 36 40 64 0.986122783685051
+9 0 2 0 0 36 41 64 0.972345190814497
+9 0 2 0 0 36 42 64 0.950408467240474
+9 0 2 0 0 36 43 64 0.928288357137386
+9 0 2 0 0 36 44 64 0.898061426654031
+9 0 2 0 0 36 45 64 0.865358414248757
+9 0 2 0 0 36 46 64 0.827138540512787
+9 0 2 0 0 36 47 64 0.785071201342183
+9 0 2 0 0 36 48 64 0.738856948924592
+9 0 2 0 0 36 49 64 0.688905591835302
+9 0 2 0 0 36 50 64 0.635435165774977
+9 0 2 0 0 36 51 64 0.578727611423503
+9 0 2 0 0 36 52 64 0.519070852858996
+9 0 2 0 0 36 53 64 0.456768883924643
+9 0 2 0 0 36 54 64 0.392139304082019
+9 0 2 0 0 36 55 64 0.32550967094504
+9 0 2 0 0 36 56 64 0.257219711906155
+9 0 2 0 0 36 57 64 0.187600677025044
+9 0 2 0 0 36 58 64 0.117019050102702
+9 0 2 0 0 36 59 64 0.0458136956565921
+9 0 2 0 0 36 60 64 -0.0256266854169147
+9 0 2 0 0 36 61 64 -0.0965710059928109
+9 0 2 0 0 36 62 64 -0.167258880875404
+9 0 2 0 0 36 63 64 -0.23648348635284
+9 0 2 0 0 36 64 64 -0.304819907472975
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 0.984379866941581
+10 0 2 0 0 36 40 64 0.969072399217679
+10 0 2 0 0 36 41 64 0.949670724680464
+10 0 2 0 0 36 42 64 0.922039652287847
+10 0 2 0 0 36 43 64 0.894608239372265
+10 0 2 0 0 36 44 64 0.85879250380239
+10 0 2 0 0 36 45 64 0.821342566539966
+10 0 2 0 0 36 46 64 0.778133286402444
+10 0 2 0 0 36 47 64 0.731584896839627
+10 0 2 0 0 36 48 64 0.681035265045959
+10 0 2 0 0 36 49 64 0.627079145144834
+10 0 2 0 0 36 50 64 0.569905760549735
+10 0 2 0 0 36 51 64 0.509831239205338
+10 0 2 0 0 36 52 64 0.447158096152821
+10 0 2 0 0 36 53 64 0.382205971571669
+10 0 2 0 0 36 54 64 0.315306157207676
+10 0 2 0 0 36 55 64 0.24679570505839
+10 0 2 0 0 36 56 64 0.177025151534019
+10 0 2 0 0 36 57 64 0.106327159793763
+10 0 2 0 0 36 58 64 0.035081106932853
+10 0 2 0 0 36 59 64 -0.036327720076201
+10 0 2 0 0 36 60 64 -0.107572262197683
+10 0 2 0 0 36 61 64 -0.177747915864361
+10 0 2 0 0 36 62 64 -0.247404470866525
+10 0 2 0 0 36 63 64 -0.315612999181864
+10 0 2 0 0 36 64 64 -0.382248594965054
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0.727469521208016
+10 0 1 0 0 36 28 64 0.818097137883854
+10 0 1 0 0 36 30 64 0.894997844852756
+10 0 1 0 0 36 32 64 0.946563225649328
+10 0 1 0 0 36 34 64 0.984566141284841
+10 0 1 0 0 36 36 64 0.999547186670635
+10 0 1 0 0 36 38 64 0.994500807920236
+10 0 1 0 0 36 40 64 0.969072399217679
+10 0 1 0 0 36 42 64 0.922039652287847
+10 0 1 0 0 36 44 64 0.85879250380239
+10 0 1 0 0 36 46 64 0.778133286402444
+10 0 1 0 0 36 48 64 0.681035265045959
+10 0 1 0 0 36 50 64 0.569905760549735
+10 0 1 0 0 36 52 64 0.447158096152821
+10 0 1 0 0 36 54 64 0.315306157207676
+10 0 1 0 0 36 56 64 0.177025151534019
+10 0 1 0 0 36 58 64 0.035081106932853
+10 0 1 0 0 36 60 64 -0.107572262197683
+10 0 1 0 0 36 62 64 -0.247404470866525
+10 0 1 0 0 36 64 64 -0.382248594965054
+10 0 1 0 0 36 66 64 -0.509844044462548
+10 0 1 0 0 36 68 64 -0.626775167785522
+10 0 1 0 0 36 70 64 -0.729120636278362
+10 0 1 0 0 36 72 64 -0.819042573270245
+10 0 1 0 0 36 74 64 -0.893050665572054
+10 0 1 0 0 36 76 64 -0.950033346883877
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 0.966575388769545
+11 0 2 0 0 36 40 64 0.945591493027616
+11 0 2 0 0 36 41 64 0.920604143940765
+11 0 2 0 0 36 42 64 0.887501912374433
+11 0 2 0 0 36 43 64 0.854871826339012
+11 0 2 0 0 36 44 64 0.813717165249233
+11 0 2 0 0 36 45 64 0.771785520109452
+11 0 2 0 0 36 46 64 0.723825759912968
+11 0 2 0 0 36 47 64 0.673157575241775
+11 0 2 0 0 36 48 64 0.618594748559011
+11 0 2 0 0 36 49 64 0.56100968011875
+11 0 2 0 0 36 50 64 0.500517195956499
+11 0 2 0 0 36 51 64 0.437482411186147
+11 0 2 0 0 36 52 64 0.372216158335044
+11 0 2 0 0 36 53 64 0.305052419235552
+11 0 2 0 0 36 54 64 0.23633407380446
+11 0 2 0 0 36 55 64 0.16640413460913
+11 0 2 0 0 36 56 64 0.0956229109683331
+11 0 2 0 0 36 57 64 0.0243256282106452
+11 0 2 0 0 36 58 64 -0.0471017519047041
+11 0 2 0 0 36 59 64 -0.11819978394936
+11 0 2 0 0 36 60 64 -0.188758344856516
+11 0 2 0 0 36 61 64 -0.257707727745404
+11 0 2 0 0 36 62 64 -0.32586995701771
+11 0 2 0 0 36 63 64 -0.392098671973768
+11 0 2 0 0 36 64 64 -0.456623770243661
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 0.942100958312533
+12 0 2 0 0 36 40 64 0.915587680908537
+12 0 2 0 0 36 41 64 0.885334708294217
+12 0 2 0 0 36 42 64 0.847014469496933
+12 0 2 0 0 36 43 64 0.809342230353222
+12 0 2 0 0 36 44 64 0.763158343663227
+12 0 2 0 0 36 45 64 0.717010679093189
+12 0 2 0 0 36 46 64 0.664574615630126
+12 0 2 0 0 36 47 64 0.610179140762682
+12 0 2 0 0 36 48 64 0.551944666175462
+12 0 2 0 0 36 49 64 0.491137689845277
+12 0 2 0 0 36 50 64 0.427730512806188
+12 0 2 0 0 36 51 64 0.362163584336475
+12 0 2 0 0 36 52 64 0.294745126618399
+12 0 2 0 0 36 53 64 0.225823457972725
+12 0 2 0 0 36 54 64 0.155750748127458
+12 0 2 0 0 36 55 64 0.0848724981164916
+12 0 2 0 0 36 56 64 0.0135578391525371
+12 0 2 0 0 36 57 64 -0.0578496982298213
+12 0 2 0 0 36 58 64 -0.1289713486189
+12 0 2 0 0 36 59 64 -0.199244142897201
+12 0 2 0 0 36 60 64 -0.268636022243678
+12 0 2 0 0 36 61 64 -0.335908549676416
+12 0 2 0 0 36 62 64 -0.402141671948713
+12 0 2 0 0 36 63 64 -0.466517248778773
+12 0 2 0 0 36 64 64 -0.528470199770539
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0.831565073634567
+12 0 1 0 0 36 28 64 0.902693379891134
+12 0 1 0 0 36 30 64 0.956250421988218
+12 0 1 0 0 36 32 64 0.984520650643352
+12 0 1 0 0 36 34 64 1.0006502611233
+12 0 1 0 0 36 36 64 0.99187204443809
+12 0 1 0 0 36 38 64 0.963620165398048
+12 0 1 0 0 36 40 64 0.915587680908537
+12 0 1 0 0 36 42 64 0.847014469496933
+12 0 1 0 0 36 44 64 0.763158343663227
+12 0 1 0 0 36 46 64 0.664574615630126
+12 0 1 0 0 36 48 64 0.551944666175462
+12 0 1 0 0 36 50 64 0.427730512806188
+12 0 1 0 0 36 52 64 0.294745126618399
+12 0 1 0 0 36 54 64 0.155750748127458
+12 0 1 0 0 36 56 64 0.0135578391525371
+12 0 1 0 0 36 58 64 -0.1289713486189
+12 0 1 0 0 36 60 64 -0.268636022243678
+12 0 1 0 0 36 62 64 -0.402141671948713
+12 0 1 0 0 36 64 64 -0.528470199770539
+12 0 1 0 0 36 66 64 -0.643505567629453
+12 0 1 0 0 36 68 64 -0.745496136247591
+12 0 1 0 0 36 70 64 -0.829870761124515
+12 0 1 0 0 36 72 64 -0.900844894712798
+12 0 1 0 0 36 74 64 -0.957220419474552
+12 0 1 0 0 36 76 64 -0.992419191153
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 -0.773613468881637
+12 0 0 0 0 36 4 64 -0.562009242653593
+12 0 0 0 0 36 8 64 -0.30487549313056
+12 0 0 0 0 36 12 64 -0.0230425443184478
+12 0 0 0 0 36 16 64 0.260658010412923
+12 0 0 0 0 36 20 64 0.523228805596429
+12 0 0 0 0 36 24 64 0.743447772794316
+12 0 0 0 0 36 28 64 0.902693379891134
+12 0 0 0 0 36 32 64 0.984520650643352
+12 0 0 0 0 36 36 64 0.99187204443809
+12 0 0 0 0 36 40 64 0.915587680908537
+12 0 0 0 0 36 44 64 0.763158343663227
+12 0 0 0 0 36 48 64 0.551944666175462
+12 0 0 0 0 36 52 64 0.294745126618399
+12 0 0 0 0 36 56 64 0.0135578391525371
+12 0 0 0 0 36 60 64 -0.268636022243678
+12 0 0 0 0 36 64 64 -0.528470199770539
+12 0 0 0 0 36 68 64 -0.745496136247591
+12 0 0 0 0 36 72 64 -0.900844894712798
+12 0 0 0 0 36 76 64 -0.992419191153
+12 0 0 0 0 36 80 64 -0.996830366738477
+12 0 0 0 0 36 84 64 -0.922583948073783
+12 0 0 0 0 36 88 64 -0.773613468881637
+12 0 0 0 0 36 92 64 -0.562009242653593
+12 0 0 0 0 36 96 64 -0.30487549313056
+12 0 0 0 0 36 100 64 -0.0230425443184478
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 0.91145204455148
+13 0 2 0 0 36 40 64 0.879596050903145
+13 0 2 0 0 36 41 64 0.844084414663597
+13 0 2 0 0 36 42 64 0.800824222704196
+13 0 2 0 0 36 43 64 0.75832355490384
+13 0 2 0 0 36 44 64 0.707473969847541
+13 0 2 0 0 36 45 64 0.657375104102707
+13 0 2 0 0 36 46 64 0.600777635716768
+13 0 2 0 0 36 47 64 0.543069264164743
+13 0 2 0 0 36 48 64 0.481521872851975
+13 0 2 0 0 36 49 64 0.417929608584173
+13 0 2 0 0 36 50 64 0.352028892578069
+13 0 2 0 0 36 51 64 0.284377354671461
+13 0 2 0 0 36 52 64 0.215262070460869
+13 0 2 0 0 36 53 64 0.145048364409759
+13 0 2 0 0 36 54 64 0.0740948100312152
+13 0 2 0 0 36 55 64 0.00274676535632109
+13 0 2 0 0 36 56 64 -0.0686195219131816
+13 0 2 0 0 36 57 64 -0.139640885597512
+13 0 2 0 0 36 58 64 -0.209969376507041
+13 0 2 0 0 36 59 64 -0.278911245905794
+13 0 2 0 0 36 60 64 -0.346666588524817
+13 0 2 0 0 36 61 64 -0.411855626159897
+13 0 2 0 0 36 62 64 -0.475719739217014
+13 0 2 0 0 36 63 64 -0.537251971525801
+13 0 2 0 0 36 64 64 -0.5963006854668
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 0.874427689810973
+14 0 2 0 0 36 40 64 0.837438240330539
+14 0 2 0 0 36 41 64 0.797116899938817
+14 0 2 0 0 36 42 64 0.749230082273791
+14 0 2 0 0 36 43 64 0.702160004911102
+14 0 2 0 0 36 44 64 0.647052542014833
+14 0 2 0 0 36 45 64 0.593269647740114
+14 0 2 0 0 36 46 64 0.532871258309489
+14 0 2 0 0 36 47 64 0.472275555752007
+14 0 2 0 0 36 48 64 0.407790367582084
+14 0 2 0 0 36 49 64 0.34187605959363
+14 0 2 0 0 36 50 64 0.273915633344723
+14 0 2 0 0 36 51 64 0.20464449187104
+14 0 2 0 0 36 52 64 0.134298760497876
+14 0 2 0 0 36 53 64 0.0632682037084588
+14 0 2 0 0 36 54 64 -0.00808653193152906
+14 0 2 0 0 36 55 64 -0.0794207926528167
+14 0 2 0 0 36 56 64 -0.150355122555041
+14 0 2 0 0 36 57 64 -0.220489592909785
+14 0 2 0 0 36 58 64 -0.289541258282965
+14 0 2 0 0 36 59 64 -0.356664387198486
+14 0 2 0 0 36 60 64 -0.422331576814773
+14 0 2 0 0 36 61 64 -0.485032550599544
+14 0 2 0 0 36 62 64 -0.546116741210131
+14 0 2 0 0 36 63 64 -0.604948377240119
+14 0 2 0 0 36 64 64 -0.660610960025408
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0.911030998994562
+14 0 1 0 0 36 28 64 0.961039400009255
+14 0 1 0 0 36 30 64 0.991772711443212
+14 0 1 0 0 36 32 64 0.996040805687703
+14 0 1 0 0 36 34 64 0.989830811745744
+14 0 1 0 0 36 36 64 0.95734790294541
+14 0 1 0 0 36 38 64 0.90676362875294
+14 0 1 0 0 36 40 64 0.837438240330539
+14 0 1 0 0 36 42 64 0.749230082273791
+14 0 1 0 0 36 44 64 0.647052542014833
+14 0 1 0 0 36 46 64 0.532871258309489
+14 0 1 0 0 36 48 64 0.407790367582084
+14 0 1 0 0 36 50 64 0.273915633344723
+14 0 1 0 0 36 52 64 0.134298760497876
+14 0 1 0 0 36 54 64 -0.00808653193152906
+14 0 1 0 0 36 56 64 -0.150355122555041
+14 0 1 0 0 36 58 64 -0.289541258282965
+14 0 1 0 0 36 60 64 -0.422331576814773
+14 0 1 0 0 36 62 64 -0.546116741210131
+14 0 1 0 0 36 64 64 -0.660610960025408
+14 0 1 0 0 36 66 64 -0.759719839756493
+14 0 1 0 0 36 68 64 -0.844145865202899
+14 0 1 0 0 36 70 64 -0.90850575576593
+14 0 1 0 0 36 72 64 -0.958645824422787
+14 0 1 0 0 36 74 64 -0.993141946553099
+14 0 1 0 0 36 76 64 -1.0074586778693
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 0.83177058555084
+15 0 2 0 0 36 40 64 0.789892434463176
+15 0 2 0 0 36 41 64 0.744732886377291
+15 0 2 0 0 36 42 64 0.692558769823357
+15 0 2 0 0 36 43 64 0.641232339010255
+15 0 2 0 0 36 44 64 0.582310044136302
+15 0 2 0 0 36 45 64 0.525119308200204
+15 0 2 0 0 36 46 64 0.461329067538008
+15 0 2 0 0 36 47 64 0.39827202533234
+15 0 2 0 0 36 48 64 0.33124132959367
+15 0 2 0 0 36 49 64 0.263490099030802
+15 0 2 0 0 36 50 64 0.193912360021438
+15 0 2 0 0 36 51 64 0.123502072434889
+15 0 2 0 0 36 52 64 0.0523994485218639
+15 0 2 0 0 36 53 64 -0.0189662748526438
+15 0 2 0 0 36 54 64 -0.0902396981301373
+15 0 2 0 0 36 55 64 -0.1610736822119
+15 0 2 0 0 36 56 64 -0.231093672866556
+15 0 2 0 0 36 57 64 -0.299840794696942
+15 0 2 0 0 36 58 64 -0.36714057429429
+15 0 2 0 0 36 59 64 -0.431983127537628
+15 0 2 0 0 36 60 64 -0.495128021444162
+15 0 2 0 0 36 61 64 -0.554973040858944
+15 0 2 0 0 36 62 64 -0.612863106882389
+15 0 2 0 0 36 63 64 -0.668071174957014
+15 0 2 0 0 36 64 64 -0.720044315987105
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 0.783191375711233
+16 0 2 0 0 36 40 64 0.736699238210237
+16 0 2 0 0 36 41 64 0.687277464317392
+16 0 2 0 0 36 42 64 0.63119623285195
+16 0 2 0 0 36 43 64 0.575957220068435
+16 0 2 0 0 36 44 64 0.513687824134701
+16 0 2 0 0 36 45 64 0.453383070893106
+16 0 2 0 0 36 46 64 0.386658816045655
+16 0 2 0 0 36 47 64 0.321557564095214
+16 0 2 0 0 36 48 64 0.252393062663056
+16 0 2 0 0 36 49 64 0.18330509128069
+16 0 2 0 0 36 50 64 0.112557204165378
+16 0 2 0 0 36 51 64 0.0415013493406832
+16 0 2 0 0 36 52 64 -0.0298816058531054
+16 0 2 0 0 36 53 64 -0.10109690334767
+16 0 2 0 0 36 54 64 -0.171807116042869
+16 0 2 0 0 36 55 64 -0.24165362668591
+16 0 2 0 0 36 56 64 -0.310281409496596
+16 0 2 0 0 36 57 64 -0.377147153170629
+16 0 2 0 0 36 58 64 -0.442233636345672
+16 0 2 0 0 36 59 64 -0.504365980207776
+16 0 2 0 0 36 60 64 -0.564577166090972
+16 0 2 0 0 36 61 64 -0.621195922260606
+16 0 2 0 0 36 62 64 -0.675507190423302
+16 0 2 0 0 36 63 64 -0.727197672558467
+16 0 2 0 0 36 64 64 -0.775052989171644
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0.968487138553562
+16 0 1 0 0 36 28 64 0.995646028169825
+16 0 1 0 0 36 30 64 1.00070730210588
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+16 0 1 0 0 36 34 64 0.952349650779876
+16 0 1 0 0 36 36 64 0.896869441156949
+16 0 1 0 0 36 38 64 0.825488989764358
+16 0 1 0 0 36 40 64 0.736699238210237
+16 0 1 0 0 36 42 64 0.63119623285195
+16 0 1 0 0 36 44 64 0.513687824134701
+16 0 1 0 0 36 46 64 0.386658816045655
+16 0 1 0 0 36 48 64 0.252393062663056
+16 0 1 0 0 36 50 64 0.112557204165378
+16 0 1 0 0 36 52 64 -0.0298816058531054
+16 0 1 0 0 36 54 64 -0.171807116042869
+16 0 1 0 0 36 56 64 -0.310281409496596
+16 0 1 0 0 36 58 64 -0.442233636345672
+16 0 1 0 0 36 60 64 -0.564577166090972
+16 0 1 0 0 36 62 64 -0.675507190423302
+16 0 1 0 0 36 64 64 -0.775052989171644
+16 0 1 0 0 36 66 64 -0.855326177010438
+16 0 1 0 0 36 68 64 -0.920124501379095
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+16 0 1 0 0 36 72 64 -0.990945372488538
+16 0 1 0 0 36 74 64 -1.00556480302932
+16 0 1 0 0 36 76 64 -0.996630674163465
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 -0.529031091543943
+16 0 0 0 0 36 4 64 -0.266774836606918
+16 0 0 0 0 36 8 64 0.017089571311092
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+16 0 0 0 0 36 20 64 0.770733483919514
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+16 0 0 0 0 36 28 64 0.995646028169825
+16 0 0 0 0 36 32 64 0.980893937095706
+16 0 0 0 0 36 36 64 0.896869441156949
+16 0 0 0 0 36 40 64 0.736699238210237
+16 0 0 0 0 36 44 64 0.513687824134701
+16 0 0 0 0 36 48 64 0.252393062663056
+16 0 0 0 0 36 52 64 -0.0298816058531054
+16 0 0 0 0 36 56 64 -0.310281409496596
+16 0 0 0 0 36 60 64 -0.564577166090972
+16 0 0 0 0 36 64 64 -0.775052989171644
+16 0 0 0 0 36 68 64 -0.920124501379095
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+16 0 0 0 0 36 76 64 -0.996630674163465
+16 0 0 0 0 36 80 64 -0.907210235408711
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+16 0 0 0 0 36 88 64 -0.529031091543943
+16 0 0 0 0 36 92 64 -0.266774836606918
+16 0 0 0 0 36 96 64 0.017089571311092
+16 0 0 0 0 36 100 64 0.299567039224753
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 0.729684694849813
+17 0 2 0 0 36 40 64 0.678863683950643
+17 0 2 0 0 36 41 64 0.625135462424381
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+17 0 2 0 0 36 47 64 0.242654034696447
+17 0 2 0 0 36 48 64 0.171790094564383
+17 0 2 0 0 36 49 64 0.101871799927275
+17 0 2 0 0 36 50 64 0.0304025997236437
+17 0 2 0 0 36 51 64 -0.0407950710769353
+17 0 2 0 0 36 52 64 -0.111983213266695
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+17 0 2 0 0 36 55 64 -0.320603820637825
+17 0 2 0 0 36 56 64 -0.387369774691674
+17 0 2 0 0 36 57 64 -0.451874050371163
+17 0 2 0 0 36 58 64 -0.514304583491303
+17 0 2 0 0 36 59 64 -0.573333100997025
+17 0 2 0 0 36 60 64 -0.630218778631179
+17 0 2 0 0 36 61 64 -0.683270642227876
+17 0 2 0 0 36 62 64 -0.73362027292085
+17 0 2 0 0 36 63 64 -0.781014070341721
+17 0 2 0 0 36 64 64 -0.824454202390865
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 0.67085644814028
+18 0 2 0 0 36 40 64 0.616050760891421
+18 0 2 0 0 36 41 64 0.558734852304547
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+18 0 2 0 0 36 46 64 0.230105643033947
+18 0 2 0 0 36 47 64 0.162103512276363
+18 0 2 0 0 36 48 64 0.0900006603758642
+18 0 2 0 0 36 49 64 0.0197543459067325
+18 0 2 0 0 36 50 64 -0.0519876573849883
+18 0 2 0 0 36 51 64 -0.122817122278124
+18 0 2 0 0 36 52 64 -0.193341214629303
+18 0 2 0 0 36 53 64 -0.262794584619954
+18 0 2 0 0 36 54 64 -0.330952960808579
+18 0 2 0 0 36 55 64 -0.397373358453665
+18 0 2 0 0 36 56 64 -0.461820285446147
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+18 0 2 0 0 36 59 64 -0.638428602930574
+18 0 2 0 0 36 60 64 -0.691620321557532
+18 0 2 0 0 36 61 64 -0.740764081558319
+18 0 2 0 0 36 62 64 -0.786801612924153
+18 0 2 0 0 36 63 64 -0.829947276224382
+18 0 2 0 0 36 64 64 -0.868642214707487
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 0.998805210966102
+18 0 1 0 0 36 28 64 1.00274617550723
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+18 0 1 0 0 36 32 64 0.939663666519965
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+18 0 1 0 0 36 36 64 0.812067916146587
+18 0 1 0 0 36 38 64 0.722018145321156
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+18 0 1 0 0 36 42 64 0.496081362396619
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+18 0 1 0 0 36 46 64 0.230105643033947
+18 0 1 0 0 36 48 64 0.0900006603758642
+18 0 1 0 0 36 50 64 -0.0519876573849883
+18 0 1 0 0 36 52 64 -0.193341214629303
+18 0 1 0 0 36 54 64 -0.330952960808579
+18 0 1 0 0 36 56 64 -0.461820285446147
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+18 0 1 0 0 36 60 64 -0.691620321557532
+18 0 1 0 0 36 62 64 -0.786801612924153
+18 0 1 0 0 36 64 64 -0.868642214707487
+18 0 1 0 0 36 66 64 -0.927770208357986
+18 0 1 0 0 36 68 64 -0.971440760643792
+18 0 1 0 0 36 70 64 -0.992014085505431
+18 0 1 0 0 36 72 64 -0.997060910457042
+18 0 1 0 0 36 74 64 -0.988891701531029
+18 0 1 0 0 36 76 64 -0.959464532003943
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 0.607944785940564
+19 0 2 0 0 36 40 64 0.549471672949069
+19 0 2 0 0 36 41 64 0.488538834953271
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+19 0 2 0 0 36 56 64 -0.533110631984101
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+19 0 2 0 0 36 59 64 -0.699223250091715
+19 0 2 0 0 36 60 64 -0.748371688253029
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+19 0 2 0 0 36 62 64 -0.834680771008608
+19 0 2 0 0 36 63 64 -0.87296781205848
+19 0 2 0 0 36 64 64 -0.906647724617768
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 0.540452827373641
+20 0 2 0 0 36 40 64 0.478722685484755
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+20 0 2 0 0 36 42 64 0.347609167928502
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+20 0 2 0 0 36 62 64 -0.876925392191905
+20 0 2 0 0 36 63 64 -0.910362389669231
+20 0 2 0 0 36 64 64 -0.938793832622956
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 1.00334311202564
+20 0 1 0 0 36 28 64 0.98359553831002
+20 0 1 0 0 36 30 64 0.938712185598956
+20 0 1 0 0 36 32 64 0.873537576710319
+20 0 1 0 0 36 34 64 0.802012335323821
+20 0 1 0 0 36 36 64 0.705273038766166
+20 0 1 0 0 36 38 64 0.599168114427681
+20 0 1 0 0 36 40 64 0.478722685484755
+20 0 1 0 0 36 42 64 0.347609167928502
+20 0 1 0 0 36 44 64 0.210013305074373
+20 0 1 0 0 36 46 64 0.0677299944788781
+20 0 1 0 0 36 48 64 -0.0747771250552153
+20 0 1 0 0 36 50 64 -0.215187808189491
+20 0 1 0 0 36 52 64 -0.35158540942634
+20 0 1 0 0 36 54 64 -0.481119028681885
+20 0 1 0 0 36 56 64 -0.600741728071833
+20 0 1 0 0 36 58 64 -0.707600463717883
+20 0 1 0 0 36 60 64 -0.800095934232819
+20 0 1 0 0 36 62 64 -0.876925392191905
+20 0 1 0 0 36 64 64 -0.938793832622956
+20 0 1 0 0 36 66 64 -0.975180320089048
+20 0 1 0 0 36 68 64 -0.996801732679076
+20 0 1 0 0 36 70 64 -0.994849345466784
+20 0 1 0 0 36 72 64 -0.976834026002591
+20 0 1 0 0 36 74 64 -0.948126874318678
+20 0 1 0 0 36 76 64 -0.896117134067917
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 -0.228161080184811
+20 0 0 0 0 36 4 64 0.057286610735005
+20 0 0 0 0 36 8 64 0.338103443471547
+20 0 0 0 0 36 12 64 0.591510017486203
+20 0 0 0 0 36 16 64 0.79699794130943
+20 0 0 0 0 36 20 64 0.937718625554042
+20 0 0 0 0 36 24 64 1.0016928386688
+20 0 0 0 0 36 28 64 0.98359553831002
+20 0 0 0 0 36 32 64 0.873537576710319
+20 0 0 0 0 36 36 64 0.705273038766166
+20 0 0 0 0 36 40 64 0.478722685484755
+20 0 0 0 0 36 44 64 0.210013305074373
+20 0 0 0 0 36 48 64 -0.0747771250552153
+20 0 0 0 0 36 52 64 -0.35158540942634
+20 0 0 0 0 36 56 64 -0.600741728071833
+20 0 0 0 0 36 60 64 -0.800095934232819
+20 0 0 0 0 36 64 64 -0.938793832622956
+20 0 0 0 0 36 68 64 -0.996801732679076
+20 0 0 0 0 36 72 64 -0.976834026002591
+20 0 0 0 0 36 76 64 -0.896117134067917
+20 0 0 0 0 36 80 64 -0.721596576702223
+20 0 0 0 0 36 84 64 -0.495724862252206
+20 0 0 0 0 36 88 64 -0.228161080184811
+20 0 0 0 0 36 92 64 0.057286610735005
+20 0 0 0 0 36 96 64 0.338103443471547
+20 0 0 0 0 36 100 64 0.591510017486203
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 0.469829736217281
+21 0 2 0 0 36 40 64 0.405192124950755
+21 0 2 0 0 36 41 64 0.338771709661843
+21 0 2 0 0 36 42 64 0.269628178008999
+21 0 2 0 0 36 43 64 0.201008821630217
+21 0 2 0 0 36 44 64 0.129354812235975
+21 0 2 0 0 36 45 64 0.0590452068343847
+21 0 2 0 0 36 46 64 -0.0142027131395383
+21 0 2 0 0 36 47 64 -0.0837991644158401
+21 0 2 0 0 36 48 64 -0.156565590174413
+21 0 2 0 0 36 49 64 -0.224981407545722
+21 0 2 0 0 36 50 64 -0.294853900362932
+21 0 2 0 0 36 51 64 -0.361541136404065
+21 0 2 0 0 36 52 64 -0.42737667109742
+21 0 2 0 0 36 53 64 -0.490571288254171
+21 0 2 0 0 36 54 64 -0.551513860141101
+21 0 2 0 0 36 55 64 -0.6093059998913
+21 0 2 0 0 36 56 64 -0.664245120196717
+21 0 2 0 0 36 57 64 -0.715066946780324
+21 0 2 0 0 36 58 64 -0.762957472440645
+21 0 2 0 0 36 59 64 -0.806339847904751
+21 0 2 0 0 36 60 64 -0.846443945082863
+21 0 2 0 0 36 61 64 -0.882027897594942
+21 0 2 0 0 36 62 64 -0.913241368161086
+21 0 2 0 0 36 63 64 -0.941367065939037
+21 0 2 0 0 36 64 64 -0.964358758957947
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 0.395497232459968
+22 0 2 0 0 36 40 64 0.328417215862977
+22 0 2 0 0 36 41 64 0.260259096446963
+22 0 2 0 0 36 42 64 0.189864182116941
+22 0 2 0 0 36 43 64 0.119940465733407
+22 0 2 0 0 36 44 64 0.047859652896361
+22 0 2 0 0 36 45 64 -0.0230542944320167
+22 0 2 0 0 36 46 64 -0.0958850154370283
+22 0 2 0 0 36 47 64 -0.165279573617279
+22 0 2 0 0 36 48 64 -0.237161635947279
+22 0 2 0 0 36 49 64 -0.304135573243567
+22 0 2 0 0 36 50 64 -0.372480462648226
+22 0 2 0 0 36 51 64 -0.436819202589213
+22 0 2 0 0 36 52 64 -0.500246636607088
+22 0 2 0 0 36 53 64 -0.560417243692501
+22 0 2 0 0 36 54 64 -0.618125186813188
+22 0 2 0 0 36 55 64 -0.672183983620824
+22 0 2 0 0 36 56 64 -0.723189909567979
+22 0 2 0 0 36 57 64 -0.769729951259001
+22 0 2 0 0 36 58 64 -0.813151674063614
+22 0 2 0 0 36 59 64 -0.851956198549985
+22 0 2 0 0 36 60 64 -0.887105879557308
+22 0 2 0 0 36 61 64 -0.91761667449276
+22 0 2 0 0 36 62 64 -0.943378917541593
+22 0 2 0 0 36 63 64 -0.966195994685308
+22 0 2 0 0 36 64 64 -0.983583096877776
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 0.98104764784377
+22 0 1 0 0 36 28 64 0.938582162359778
+22 0 1 0 0 36 30 64 0.869533889374024
+22 0 1 0 0 36 32 64 0.784350044815713
+22 0 1 0 0 36 34 64 0.693200172843325
+22 0 1 0 0 36 36 64 0.579451084535226
+22 0 1 0 0 36 38 64 0.460269797506582
+22 0 1 0 0 36 40 64 0.328417215862977
+22 0 1 0 0 36 42 64 0.189864182116941
+22 0 1 0 0 36 44 64 0.047859652896361
+22 0 1 0 0 36 46 64 -0.0958850154370283
+22 0 1 0 0 36 48 64 -0.237161635947279
+22 0 1 0 0 36 50 64 -0.372480462648226
+22 0 1 0 0 36 52 64 -0.500246636607088
+22 0 1 0 0 36 54 64 -0.618125186813188
+22 0 1 0 0 36 56 64 -0.723189909567979
+22 0 1 0 0 36 58 64 -0.813151674063614
+22 0 1 0 0 36 60 64 -0.887105879557308
+22 0 1 0 0 36 62 64 -0.943378917541593
+22 0 1 0 0 36 64 64 -0.983583096877776
+22 0 1 0 0 36 66 64 -0.996411802069847
+22 0 1 0 0 36 68 64 -0.995600433718993
+22 0 1 0 0 36 70 64 -0.971479329009369
+22 0 1 0 0 36 72 64 -0.930911227889686
+22 0 1 0 0 36 74 64 -0.880645554149957
+22 0 1 0 0 36 76 64 -0.810228200736522
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 0.319064432058653
+23 0 2 0 0 36 40 64 0.249924403256166
+23 0 2 0 0 36 41 64 0.180053424324629
+23 0 2 0 0 36 42 64 0.108836468779133
+23 0 2 0 0 36 43 64 0.0381119620962767
+23 0 2 0 0 36 44 64 -0.033937357178523
+23 0 2 0 0 36 45 64 -0.104907937764324
+23 0 2 0 0 36 46 64 -0.176784551291528
+23 0 2 0 0 36 47 64 -0.245575787971705
+23 0 2 0 0 36 48 64 -0.315994455858404
+23 0 2 0 0 36 49 64 -0.381170307966255
+23 0 2 0 0 36 50 64 -0.447523923671051
+23 0 2 0 0 36 51 64 -0.509074009520185
+23 0 2 0 0 36 52 64 -0.5696997506144
+23 0 2 0 0 36 53 64 -0.62639941395139
+23 0 2 0 0 36 54 64 -0.680499857390749
+23 0 2 0 0 36 55 64 -0.730445065990235
+23 0 2 0 0 36 56 64 -0.777188236205734
+23 0 2 0 0 36 57 64 -0.81918972836386
+23 0 2 0 0 36 58 64 -0.857867700228464
+23 0 2 0 0 36 59 64 -0.891863211508091
+23 0 2 0 0 36 60 64 -0.921804164359329
+23 0 2 0 0 36 61 64 -0.947011801587499
+23 0 2 0 0 36 62 64 -0.967132616727471
+23 0 2 0 0 36 63 64 -0.984308305112391
+23 0 2 0 0 36 64 64 -0.996017843255125
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 0.239899482791285
+24 0 2 0 0 36 40 64 0.16920487211874
+24 0 2 0 0 36 41 64 0.0987039997176098
+24 0 2 0 0 36 42 64 0.0270980607747371
+24 0 2 0 0 36 43 64 -0.0439305089058636
+24 0 2 0 0 36 44 64 -0.115503679973907
+24 0 2 0 0 36 45 64 -0.185969559999884
+24 0 2 0 0 36 46 64 -0.256396846624298
+24 0 2 0 0 36 47 64 -0.324145233563623
+24 0 2 0 0 36 48 64 -0.392525077038734
+24 0 2 0 0 36 49 64 -0.455574869010376
+24 0 2 0 0 36 50 64 -0.519463490944382
+24 0 2 0 0 36 51 64 -0.577823159697607
+24 0 2 0 0 36 52 64 -0.635269122336685
+24 0 2 0 0 36 53 64 -0.688073363767503
+24 0 2 0 0 36 54 64 -0.73822315357651
+24 0 2 0 0 36 55 64 -0.783712559761183
+24 0 2 0 0 36 56 64 -0.825898460305315
+24 0 2 0 0 36 57 64 -0.863142650973185
+24 0 2 0 0 36 58 64 -0.896829427009213
+24 0 2 0 0 36 59 64 -0.925792936740862
+24 0 2 0 0 36 60 64 -0.950304506740336
+24 0 2 0 0 36 61 64 -0.97000347175428
+24 0 2 0 0 36 62 64 -0.984342796227201
+24 0 2 0 0 36 63 64 -0.995892023635728
+24 0 2 0 0 36 64 64 -1.0018126657991
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 0.931980907044291
+24 0 1 0 0 36 28 64 0.867576699062644
+24 0 1 0 0 36 30 64 0.777199853129743
+24 0 1 0 0 36 32 64 0.674525979865385
+24 0 1 0 0 36 34 64 0.565723687046236
+24 0 1 0 0 36 36 64 0.43811387485623
+24 0 1 0 0 36 38 64 0.309074348145442
+24 0 1 0 0 36 40 64 0.16920487211874
+24 0 1 0 0 36 42 64 0.0270980607747371
+24 0 1 0 0 36 44 64 -0.115503679973907
+24 0 1 0 0 36 46 64 -0.256396846624298
+24 0 1 0 0 36 48 64 -0.392525077038734
+24 0 1 0 0 36 50 64 -0.519463490944382
+24 0 1 0 0 36 52 64 -0.635269122336685
+24 0 1 0 0 36 54 64 -0.73822315357651
+24 0 1 0 0 36 56 64 -0.825898460305315
+24 0 1 0 0 36 58 64 -0.896829427009213
+24 0 1 0 0 36 60 64 -0.950304506740336
+24 0 1 0 0 36 62 64 -0.984342796227201
+24 0 1 0 0 36 64 64 -1.0018126657991
+24 0 1 0 0 36 66 64 -0.99105479718569
+24 0 1 0 0 36 68 64 -0.96794661252943
+24 0 1 0 0 36 70 64 -0.922459335278033
+24 0 1 0 0 36 72 64 -0.860459695668713
+24 0 1 0 0 36 74 64 -0.790718913057396
+24 0 1 0 0 36 76 64 -0.700584491882711
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 0.0975184837032076
+24 0 0 0 0 36 4 64 0.376139498517471
+24 0 0 0 0 36 8 64 0.624395008878164
+24 0 0 0 0 36 12 64 0.821987576391212
+24 0 0 0 0 36 16 64 0.952945479737797
+24 0 0 0 0 36 20 64 1.00634054736431
+24 0 0 0 0 36 24 64 0.976240017051093
+24 0 0 0 0 36 28 64 0.867576699062644
+24 0 0 0 0 36 32 64 0.674525979865385
+24 0 0 0 0 36 36 64 0.43811387485623
+24 0 0 0 0 36 40 64 0.16920487211874
+24 0 0 0 0 36 44 64 -0.115503679973907
+24 0 0 0 0 36 48 64 -0.392525077038734
+24 0 0 0 0 36 52 64 -0.635269122336685
+24 0 0 0 0 36 56 64 -0.825898460305315
+24 0 0 0 0 36 60 64 -0.950304506740336
+24 0 0 0 0 36 64 64 -1.0018126657991
+24 0 0 0 0 36 68 64 -0.96794661252943
+24 0 0 0 0 36 72 64 -0.860459695668713
+24 0 0 0 0 36 76 64 -0.700584491882711
+24 0 0 0 0 36 80 64 -0.459086983436625
+24 0 0 0 0 36 84 64 -0.190332030021651
+24 0 0 0 0 36 88 64 0.0975184837032076
+24 0 0 0 0 36 92 64 0.376139498517471
+24 0 0 0 0 36 96 64 0.624395008878164
+24 0 0 0 0 36 100 64 0.821987576391212
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/u.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/u.zl
new file mode 100644
index 000000000..72fde0fca
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/u.zl
@@ -0,0 +1,1757 @@
+# HYDROTOY::u z (u)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 0.207911690817761
+0 0 2 0 0 36 48 52 0.309016994374949
+0 0 2 0 0 36 48 53 0.406736643075802
+0 0 2 0 0 36 48 54 0.500000000000001
+0 0 2 0 0 36 48 55 0.587785252292474
+0 0 2 0 0 36 48 56 0.669130606358859
+0 0 2 0 0 36 48 57 0.743144825477395
+0 0 2 0 0 36 48 58 0.809016994374948
+0 0 2 0 0 36 48 59 0.866025403784439
+0 0 2 0 0 36 48 60 0.913545457642601
+0 0 2 0 0 36 48 61 0.951056516295154
+0 0 2 0 0 36 48 62 0.978147600733806
+0 0 2 0 0 36 48 63 0.994521895368273
+0 0 2 0 0 36 48 64 1
+0 0 2 0 0 36 48 65 0.994521895368273
+0 0 2 0 0 36 48 66 0.978147600733806
+0 0 2 0 0 36 48 67 0.951056516295154
+0 0 2 0 0 36 48 68 0.913545457642601
+0 0 2 0 0 36 48 69 0.866025403784439
+0 0 2 0 0 36 48 70 0.809016994374948
+0 0 2 0 0 36 48 71 0.743144825477395
+0 0 2 0 0 36 48 72 0.669130606358859
+0 0 2 0 0 36 48 73 0.587785252292474
+0 0 2 0 0 36 48 74 0.500000000000001
+0 0 2 0 0 36 48 75 0.406736643075801
+0 0 2 0 0 36 48 76 0.309016994374949
+0 0 2 0 0 36 48 77 0.207911690817761
+0 0 2 0 0 36 48 78 0.104528463267655
+0 0 2 0 0 36 48 79 1.61554255216634e-15
+0 0 2 0 0 36 48 80 -0.104528463267652
+0 0 2 0 0 36 48 81 -0.207911690817757
+0 0 2 0 0 36 48 82 -0.309016994374945
+0 0 2 0 0 36 48 83 -0.406736643075798
+0 0 2 0 0 36 48 84 -0.499999999999998
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -1
+0 0 1 0 0 36 48 36 -0.978147600733805
+0 0 1 0 0 36 48 38 -0.9135454576426
+0 0 1 0 0 36 48 40 -0.809016994374946
+0 0 1 0 0 36 48 42 -0.669130606358856
+0 0 1 0 0 36 48 44 -0.499999999999998
+0 0 1 0 0 36 48 46 -0.309016994374945
+0 0 1 0 0 36 48 48 -0.104528463267652
+0 0 1 0 0 36 48 50 0.104528463267655
+0 0 1 0 0 36 48 52 0.309016994374949
+0 0 1 0 0 36 48 54 0.500000000000001
+0 0 1 0 0 36 48 56 0.669130606358859
+0 0 1 0 0 36 48 58 0.809016994374948
+0 0 1 0 0 36 48 60 0.913545457642601
+0 0 1 0 0 36 48 62 0.978147600733806
+0 0 1 0 0 36 48 64 1
+0 0 1 0 0 36 48 66 0.978147600733806
+0 0 1 0 0 36 48 68 0.913545457642601
+0 0 1 0 0 36 48 70 0.809016994374948
+0 0 1 0 0 36 48 72 0.669130606358859
+0 0 1 0 0 36 48 74 0.500000000000001
+0 0 1 0 0 36 48 76 0.309016994374949
+0 0 1 0 0 36 48 78 0.104528463267655
+0 0 1 0 0 36 48 80 -0.104528463267652
+0 0 1 0 0 36 48 82 -0.309016994374945
+0 0 1 0 0 36 48 84 -0.499999999999998
+0 0 1 0 0 36 48 86 -0.669130606358856
+0 0 1 0 0 36 48 88 -0.809016994374946
+0 0 1 0 0 36 48 90 -0.9135454576426
+0 0 1 0 0 36 48 92 -0.978147600733805
+0 0 1 0 0 36 48 94 -1
+0 0 1 0 0 36 48 96 -0.978147600733806
+0 0 1 0 0 36 48 98 -0.913545457642603
+0 0 1 0 0 36 48 100 -0.80901699437495
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 0.913545457642604
+0 0 0 0 0 36 48 4 1
+0 0 0 0 0 36 48 8 0.913545457642598
+0 0 0 0 0 36 48 12 0.669130606358854
+0 0 0 0 0 36 48 16 0.309016994374941
+0 0 0 0 0 36 48 20 -0.104528463267659
+0 0 0 0 0 36 48 24 -0.500000000000004
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+0 0 0 0 0 36 48 32 -0.978147600733806
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+0 0 0 0 0 36 48 44 -0.499999999999998
+0 0 0 0 0 36 48 48 -0.104528463267652
+0 0 0 0 0 36 48 52 0.309016994374949
+0 0 0 0 0 36 48 56 0.669130606358859
+0 0 0 0 0 36 48 60 0.913545457642601
+0 0 0 0 0 36 48 64 1
+0 0 0 0 0 36 48 68 0.913545457642601
+0 0 0 0 0 36 48 72 0.669130606358859
+0 0 0 0 0 36 48 76 0.309016994374949
+0 0 0 0 0 36 48 80 -0.104528463267652
+0 0 0 0 0 36 48 84 -0.499999999999998
+0 0 0 0 0 36 48 88 -0.809016994374946
+0 0 0 0 0 36 48 92 -0.978147600733805
+0 0 0 0 0 36 48 96 -0.978147600733806
+0 0 0 0 0 36 48 100 -0.80901699437495
+0 0 0 0 0 36 48 104 -0.500000000000004
+0 0 0 0 0 36 48 108 -0.104528463267659
+0 0 0 0 0 36 48 112 0.309016994374942
+0 0 0 0 0 36 48 116 0.669130606358854
+0 0 0 0 0 36 48 120 0.913545457642598
+0 0 0 0 0 36 48 124 1
+0 0 0 0 0 36 48 128 0.913545457642604
+0 0 0 0 0 36 48 132 0.669130606358864
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 0.287131515784396
+1 0 2 0 0 36 48 52 0.385700870166775
+1 0 2 0 0 36 48 53 0.480452366870658
+1 0 2 0 0 36 48 54 0.569390500151697
+1 0 2 0 0 36 48 55 0.652201460059551
+1 0 2 0 0 36 48 56 0.727866764289061
+1 0 2 0 0 36 48 57 0.795557407933109
+1 0 2 0 0 36 48 58 0.854531758134751
+1 0 2 0 0 36 48 59 0.904143679572001
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+1 0 2 0 0 36 48 61 0.973214533850867
+1 0 2 0 0 36 48 62 0.991916711958997
+1 0 2 0 0 36 48 63 0.999751242998988
+1 0 2 0 0 36 48 64 0.996632290209284
+1 0 2 0 0 36 48 65 0.982594025489333
+1 0 2 0 0 36 48 66 0.957790255005101
+1 0 2 0 0 36 48 67 0.922492734056538
+1 0 2 0 0 36 48 68 0.877088189669636
+1 0 2 0 0 36 48 69 0.822074083534209
+1 0 2 0 0 36 48 70 0.758053161709521
+1 0 2 0 0 36 48 71 0.68572685081232
+1 0 2 0 0 36 48 72 0.605887573040051
+1 0 2 0 0 36 48 73 0.51941006422743
+1 0 2 0 0 36 48 74 0.427241790057588
+1 0 2 0 0 36 48 75 0.330392565429784
+1 0 2 0 0 36 48 76 0.229923490716042
+1 0 2 0 0 36 48 77 0.126935326123431
+1 0 2 0 0 36 48 78 0.0225564315348867
+1 0 2 0 0 36 48 79 -0.0820695960377903
+1 0 2 0 0 36 48 80 -0.18579645194211
+1 0 2 0 0 36 48 81 -0.287487683038545
+1 0 2 0 0 36 48 82 -0.385891631433328
+1 0 2 0 0 36 48 83 -0.480009934164087
+1 0 2 0 0 36 48 84 -0.569102810349535
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 0.3648836959112
+2 0 2 0 0 36 48 52 0.460231992899264
+2 0 2 0 0 36 48 53 0.550968192230083
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+2 0 2 0 0 36 48 78 -0.0595687127348792
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+2 0 2 0 0 36 48 83 -0.550496759913957
+2 0 2 0 0 36 48 84 -0.634779370549876
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -0.986764645176802
+2 0 1 0 0 36 48 36 -0.932527316358608
+2 0 1 0 0 36 48 38 -0.835847519480548
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+2 0 1 0 0 36 48 60 0.967786185543245
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+2 0 1 0 0 36 48 66 0.93097069640701
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+2 0 1 0 0 36 48 90 -0.967792747455212
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+2 0 1 0 0 36 48 98 -0.836236858633532
+2 0 1 0 0 36 48 100 -0.70456292892012
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 0.439710115392275
+3 0 2 0 0 36 48 52 0.531226852602592
+3 0 2 0 0 36 48 53 0.617797117535352
+3 0 2 0 0 36 48 54 0.696053565389475
+3 0 2 0 0 36 48 55 0.767450528026307
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+3 0 2 0 0 36 48 61 0.997727913674688
+3 0 2 0 0 36 48 62 0.999330904770413
+3 0 2 0 0 36 48 63 0.989985017350036
+3 0 2 0 0 36 48 64 0.969792646911889
+3 0 2 0 0 36 48 65 0.938975025292017
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+3 0 2 0 0 36 48 71 0.557428192967729
+3 0 2 0 0 36 48 72 0.467590241928664
+3 0 2 0 0 36 48 73 0.372629274349481
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+3 0 2 0 0 36 48 75 0.171544668368518
+3 0 2 0 0 36 48 76 0.0676241549895258
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+3 0 2 0 0 36 48 83 -0.61677695687822
+3 0 2 0 0 36 48 84 -0.695815520319614
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 0.512107178482421
+4 0 2 0 0 36 48 52 0.599146619266701
+4 0 2 0 0 36 48 53 0.680470677423395
+4 0 2 0 0 36 48 54 0.752462363238624
+4 0 2 0 0 36 48 55 0.817523447320677
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+4 0 2 0 0 36 48 60 0.995954359566485
+4 0 2 0 0 36 48 61 0.999917739901133
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+4 0 2 0 0 36 48 63 0.975055181579348
+4 0 2 0 0 36 48 64 0.946501642314714
+4 0 2 0 0 36 48 65 0.907578032988677
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+4 0 2 0 0 36 48 67 0.800435369313813
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+4 0 2 0 0 36 48 71 0.487413009966875
+4 0 2 0 0 36 48 72 0.393468915595497
+4 0 2 0 0 36 48 73 0.295213893446191
+4 0 2 0 0 36 48 74 0.19372444610281
+4 0 2 0 0 36 48 75 0.0901125131884797
+4 0 2 0 0 36 48 76 -0.0144867070812038
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+4 0 2 0 0 36 48 83 -0.679468370553804
+4 0 2 0 0 36 48 84 -0.752615979752553
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -0.948045062206597
+4 0 1 0 0 36 48 36 -0.861405240474847
+4 0 1 0 0 36 48 38 -0.735425071804322
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+4 0 1 0 0 36 48 56 0.873182318649142
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+4 0 1 0 0 36 48 60 0.995954359566485
+4 0 1 0 0 36 48 62 0.992925812231186
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+4 0 1 0 0 36 48 66 0.858710808810302
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+4 0 1 0 0 36 48 90 -0.996059682562471
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+4 0 1 0 0 36 48 98 -0.735919601592987
+4 0 1 0 0 36 48 100 -0.579295188642754
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 0.996953826263689
+4 0 0 0 0 36 48 4 0.948719671596808
+4 0 0 0 0 36 48 8 0.73644326686319
+4 0 0 0 0 36 48 12 0.396829130911887
+4 0 0 0 0 36 48 16 -0.0114003668535601
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+4 0 0 0 0 36 48 52 0.599146619266701
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+4 0 0 0 0 36 48 60 0.995954359566485
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+4 0 0 0 0 36 48 128 0.73644326686319
+4 0 0 0 0 36 48 132 0.396829130911887
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 0.580583049744437
+5 0 2 0 0 36 48 52 0.662570430575527
+5 0 2 0 0 36 48 53 0.738551479545431
+5 0 2 0 0 36 48 54 0.803757034785178
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+5 0 2 0 0 36 48 56 0.910213382443548
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+5 0 2 0 0 36 48 60 0.999995738088377
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+5 0 2 0 0 36 48 62 0.979821586709078
+5 0 2 0 0 36 48 63 0.953546683772714
+5 0 2 0 0 36 48 64 0.916824524749787
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+5 0 2 0 0 36 48 66 0.813757831646755
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+5 0 2 0 0 36 48 69 0.594312692260893
+5 0 2 0 0 36 48 70 0.506987954734893
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+5 0 2 0 0 36 48 72 0.316692086592302
+5 0 2 0 0 36 48 73 0.215805877437299
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+5 0 2 0 0 36 48 75 0.00807145905562649
+5 0 2 0 0 36 48 76 -0.0965007051978509
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+5 0 2 0 0 36 48 83 -0.736987804217344
+5 0 2 0 0 36 48 84 -0.804006297955056
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 0.645609808935192
+6 0 2 0 0 36 48 52 0.721971907301092
+6 0 2 0 0 36 48 53 0.791643841422777
+6 0 2 0 0 36 48 54 0.849592124887441
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+6 0 2 0 0 36 48 63 0.925604341726627
+6 0 2 0 0 36 48 64 0.880961227748025
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+6 0 2 0 0 36 48 67 0.691598595077947
+6 0 2 0 0 36 48 68 0.61230603325522
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+6 0 2 0 0 36 48 71 0.338009168367613
+6 0 2 0 0 36 48 72 0.237777562991005
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+6 0 2 0 0 36 48 74 0.0306256243836891
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+6 0 2 0 0 36 48 83 -0.790192443804674
+6 0 2 0 0 36 48 84 -0.850377958558336
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -0.88504128396079
+6 0 1 0 0 36 48 36 -0.768694090603434
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+6 0 1 0 0 36 48 58 0.990883285818922
+6 0 1 0 0 36 48 60 0.997290160024014
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+6 0 1 0 0 36 48 64 0.880961227748025
+6 0 1 0 0 36 48 66 0.763313869953265
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+6 0 1 0 0 36 48 100 -0.441706291557492
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 0.705873049433289
+7 0 2 0 0 36 48 52 0.776093486808575
+7 0 2 0 0 36 48 53 0.83938284105889
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+7 0 2 0 0 36 48 83 -0.837458382575393
+7 0 2 0 0 36 48 84 -0.890740129771738
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 0.761760613469106
+8 0 2 0 0 36 48 52 0.825354356642917
+8 0 2 0 0 36 48 53 0.881451072967609
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+8 0 2 0 0 36 48 83 -0.879761355416887
+8 0 2 0 0 36 48 84 -0.925423088858812
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+8 0 1 0 0 36 48 48 0.524145931427615
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+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 0.97571163067272
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+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 0.812164882070232
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+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 0.857395277796997
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+10 0 2 0 0 36 48 84 -0.975679302876179
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -0.689419435292566
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+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 0.896564354410758
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+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 0.929912371085209
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+12 0 2 0 0 36 48 84 -0.9997199869523
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -0.560635847083225
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+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 0.851778147743213
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+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 0.99119267448296
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+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 0.99841005058544
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+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 0.637920049169408
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+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 0.998868098422963
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+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+20 0 0 0 0 36 48 100 0.634235570752405
+20 0 0 0 0 36 48 104 0.901225412368832
+20 0 0 0 0 36 48 108 1.0047937671608
+20 0 0 0 0 36 48 112 0.93818162808868
+20 0 0 0 0 36 48 116 0.708450811084739
+20 0 0 0 0 36 48 120 0.356398201603562
+20 0 0 0 0 36 48 124 -0.0573018562906155
+20 0 0 0 0 36 48 128 -0.461091820195017
+20 0 0 0 0 36 48 132 -0.785154877110779
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 0.933949599621597
+21 0 2 0 0 36 48 52 0.891728378696373
+21 0 2 0 0 36 48 53 0.839584393940356
+21 0 2 0 0 36 48 54 0.775756665825483
+21 0 2 0 0 36 48 55 0.707794469441973
+21 0 2 0 0 36 48 56 0.627637372982165
+21 0 2 0 0 36 48 57 0.545304959997587
+21 0 2 0 0 36 48 58 0.451995056855288
+21 0 2 0 0 36 48 59 0.358947672308888
+21 0 2 0 0 36 48 60 0.257329038535804
+21 0 2 0 0 36 48 61 0.156616964119394
+21 0 2 0 0 36 48 62 0.0516907547420868
+21 0 2 0 0 36 48 63 -0.0523766368113267
+21 0 2 0 0 36 48 64 -0.156565590174413
+21 0 2 0 0 36 48 65 -0.25881387695252
+21 0 2 0 0 36 48 66 -0.358239135847604
+21 0 2 0 0 36 48 67 -0.453831885305384
+21 0 2 0 0 36 48 68 -0.544327115111689
+21 0 2 0 0 36 48 69 -0.628979189813484
+21 0 2 0 0 36 48 70 -0.706609791690863
+21 0 2 0 0 36 48 71 -0.776546368802786
+21 0 2 0 0 36 48 72 -0.837875554065798
+21 0 2 0 0 36 48 73 -0.889870807138802
+21 0 2 0 0 36 48 74 -0.932179981335471
+21 0 2 0 0 36 48 75 -0.963919100134245
+21 0 2 0 0 36 48 76 -0.985610484574423
+21 0 2 0 0 36 48 77 -0.996377116099184
+21 0 2 0 0 36 48 78 -0.996962506887468
+21 0 2 0 0 36 48 79 -0.986718551586022
+21 0 2 0 0 36 48 80 -0.965883702425162
+21 0 2 0 0 36 48 81 -0.934232115120101
+21 0 2 0 0 36 48 82 -0.892377729154728
+21 0 2 0 0 36 48 83 -0.842099953364134
+21 0 2 0 0 36 48 84 -0.781873276234617
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 0.901447052158971
+22 0 2 0 0 36 48 52 0.851580808400708
+22 0 2 0 0 36 48 53 0.791716868019722
+22 0 2 0 0 36 48 54 0.72167670377762
+22 0 2 0 0 36 48 55 0.6471579870056
+22 0 2 0 0 36 48 56 0.561898926515595
+22 0 2 0 0 36 48 57 0.474461324723354
+22 0 2 0 0 36 48 58 0.377379804611472
+22 0 2 0 0 36 48 59 0.281098537341536
+22 0 2 0 0 36 48 60 0.176992547525895
+22 0 2 0 0 36 48 61 0.0750985560554921
+22 0 2 0 0 36 48 62 -0.0306202723946261
+22 0 2 0 0 36 48 63 -0.134119088755701
+22 0 2 0 0 36 48 64 -0.237161635947279
+22 0 2 0 0 36 48 65 -0.337195899099376
+22 0 2 0 0 36 48 66 -0.433642956941847
+22 0 2 0 0 36 48 67 -0.525391540063051
+22 0 2 0 0 36 48 68 -0.611273355607658
+22 0 2 0 0 36 48 69 -0.69056621321494
+22 0 2 0 0 36 48 70 -0.762164828123351
+22 0 2 0 0 36 48 71 -0.825428032165876
+22 0 2 0 0 36 48 72 -0.879567439124035
+22 0 2 0 0 36 48 73 -0.923861051709571
+22 0 2 0 0 36 48 74 -0.958179945627247
+22 0 2 0 0 36 48 75 -0.981667329933169
+22 0 2 0 0 36 48 76 -0.99501484781864
+22 0 2 0 0 36 48 77 -0.997462432930995
+22 0 2 0 0 36 48 78 -0.989613165189054
+22 0 2 0 0 36 48 79 -0.971002816103689
+22 0 2 0 0 36 48 80 -0.941836499295117
+22 0 2 0 0 36 48 81 -0.902090916604214
+22 0 2 0 0 36 48 82 -0.852492243213174
+22 0 2 0 0 36 48 83 -0.794986552086982
+22 0 2 0 0 36 48 84 -0.727600185203726
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 0.221370160939068
+22 0 1 0 0 36 48 36 0.421618151123317
+22 0 1 0 0 36 48 38 0.61191088898594
+22 0 1 0 0 36 48 40 0.755366308304349
+22 0 1 0 0 36 48 42 0.879505018927281
+22 0 1 0 0 36 48 44 0.959706393256318
+22 0 1 0 0 36 48 46 0.996699731799141
+22 0 1 0 0 36 48 48 0.99241112692576
+22 0 1 0 0 36 48 50 0.941550513808279
+22 0 1 0 0 36 48 52 0.851580808400708
+22 0 1 0 0 36 48 54 0.72167670377762
+22 0 1 0 0 36 48 56 0.561898926515595
+22 0 1 0 0 36 48 58 0.377379804611472
+22 0 1 0 0 36 48 60 0.176992547525895
+22 0 1 0 0 36 48 62 -0.0306202723946261
+22 0 1 0 0 36 48 64 -0.237161635947279
+22 0 1 0 0 36 48 66 -0.433642956941847
+22 0 1 0 0 36 48 68 -0.611273355607658
+22 0 1 0 0 36 48 70 -0.762164828123351
+22 0 1 0 0 36 48 72 -0.879567439124035
+22 0 1 0 0 36 48 74 -0.958179945627247
+22 0 1 0 0 36 48 76 -0.99501484781864
+22 0 1 0 0 36 48 78 -0.989613165189054
+22 0 1 0 0 36 48 80 -0.941836499295117
+22 0 1 0 0 36 48 82 -0.852492243213174
+22 0 1 0 0 36 48 84 -0.727600185203726
+22 0 1 0 0 36 48 86 -0.566631538611873
+22 0 1 0 0 36 48 88 -0.385353253376411
+22 0 1 0 0 36 48 90 -0.183400167220833
+22 0 1 0 0 36 48 92 0.0220223133509799
+22 0 1 0 0 36 48 94 0.225467197431368
+22 0 1 0 0 36 48 96 0.41856841528826
+22 0 1 0 0 36 48 98 0.595931555544567
+22 0 1 0 0 36 48 100 0.751689551579416
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 0.863178313338743
+23 0 2 0 0 36 48 52 0.805996257746672
+23 0 2 0 0 36 48 53 0.738545239805454
+23 0 2 0 0 36 48 54 0.662814419841018
+23 0 2 0 0 36 48 55 0.582231905980771
+23 0 2 0 0 36 48 56 0.49249251446921
+23 0 2 0 0 36 48 57 0.40052278222341
+23 0 2 0 0 36 48 58 0.300430343298741
+23 0 2 0 0 36 48 59 0.201468651984398
+23 0 2 0 0 36 48 60 0.0956705261865824
+23 0 2 0 0 36 48 61 -0.00675337668655841
+23 0 2 0 0 36 48 62 -0.112562665375453
+23 0 2 0 0 36 48 63 -0.214755570924165
+23 0 2 0 0 36 48 64 -0.315994455858404
+23 0 2 0 0 36 48 65 -0.413107766908253
+23 0 2 0 0 36 48 66 -0.505947682000826
+23 0 2 0 0 36 48 67 -0.59322274251793
+23 0 2 0 0 36 48 68 -0.6739245796014
+23 0 2 0 0 36 48 69 -0.74731991401765
+23 0 2 0 0 36 48 70 -0.812414828958825
+23 0 2 0 0 36 48 71 -0.868574111649488
+23 0 2 0 0 36 48 72 -0.915176236620246
+23 0 2 0 0 36 48 73 -0.951488393730963
+23 0 2 0 0 36 48 74 -0.97762929481556
+23 0 2 0 0 36 48 75 -0.992780624838163
+23 0 2 0 0 36 48 76 -0.997743127317775
+23 0 2 0 0 36 48 77 -0.991890539526515
+23 0 2 0 0 36 48 78 -0.975649720944747
+23 0 2 0 0 36 48 79 -0.948746820429724
+23 0 2 0 0 36 48 80 -0.911434111276648
+23 0 2 0 0 36 48 81 -0.863862066375786
+23 0 2 0 0 36 48 82 -0.806859413847678
+23 0 2 0 0 36 48 83 -0.742267904933205
+23 0 2 0 0 36 48 84 -0.668790166484739
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 0.818788698958798
+24 0 2 0 0 36 48 52 0.754714518429059
+24 0 2 0 0 36 48 53 0.680465254625992
+24 0 2 0 0 36 48 54 0.599588224982294
+24 0 2 0 0 36 48 55 0.513481082494148
+24 0 2 0 0 36 48 56 0.419894640214535
+24 0 2 0 0 36 48 57 0.324019812535404
+24 0 2 0 0 36 48 58 0.221675016655828
+24 0 2 0 0 36 48 59 0.120611745410776
+24 0 2 0 0 36 48 60 0.0139474788050337
+24 0 2 0 0 36 48 61 -0.0883812368479551
+24 0 2 0 0 36 48 62 -0.193558271506239
+24 0 2 0 0 36 48 63 -0.293731763802725
+24 0 2 0 0 36 48 64 -0.392525077038734
+24 0 2 0 0 36 48 65 -0.486028882200957
+24 0 2 0 0 36 48 66 -0.574665024344734
+24 0 2 0 0 36 48 67 -0.656865823379861
+24 0 2 0 0 36 48 68 -0.731860912054079
+24 0 2 0 0 36 48 69 -0.798860355641502
+24 0 2 0 0 36 48 70 -0.8570273876731
+24 0 2 0 0 36 48 71 -0.905704098617557
+24 0 2 0 0 36 48 72 -0.94447954695528
+24 0 2 0 0 36 48 73 -0.972599254603057
+24 0 2 0 0 36 48 74 -0.990437872009896
+24 0 2 0 0 36 48 75 -0.997230854300112
+24 0 2 0 0 36 48 76 -0.993814110325832
+24 0 2 0 0 36 48 77 -0.979706832086416
+24 0 2 0 0 36 48 78 -0.95516233596095
+24 0 2 0 0 36 48 79 -0.920091161864515
+24 0 2 0 0 36 48 80 -0.874878027713492
+24 0 2 0 0 36 48 81 -0.819797745702844
+24 0 2 0 0 36 48 82 -0.755782455628652
+24 0 2 0 0 36 48 83 -0.684792263752992
+24 0 2 0 0 36 48 84 -0.605088732289122
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 0.380272199381859
+24 0 1 0 0 36 48 36 0.566674667764393
+24 0 1 0 0 36 48 38 0.734135960660039
+24 0 1 0 0 36 48 40 0.850165102399568
+24 0 1 0 0 36 48 42 0.946809089589225
+24 0 1 0 0 36 48 44 0.992807440780675
+24 0 1 0 0 36 48 46 0.996305790932355
+24 0 1 0 0 36 48 48 0.957900154946224
+24 0 1 0 0 36 48 50 0.874046270217942
+24 0 1 0 0 36 48 52 0.754714518429059
+24 0 1 0 0 36 48 54 0.599588224982294
+24 0 1 0 0 36 48 56 0.419894640214535
+24 0 1 0 0 36 48 58 0.221675016655828
+24 0 1 0 0 36 48 60 0.0139474788050337
+24 0 1 0 0 36 48 62 -0.193558271506239
+24 0 1 0 0 36 48 64 -0.392525077038734
+24 0 1 0 0 36 48 66 -0.574665024344734
+24 0 1 0 0 36 48 68 -0.731860912054079
+24 0 1 0 0 36 48 70 -0.8570273876731
+24 0 1 0 0 36 48 72 -0.94447954695528
+24 0 1 0 0 36 48 74 -0.990437872009896
+24 0 1 0 0 36 48 76 -0.993814110325832
+24 0 1 0 0 36 48 78 -0.95516233596095
+24 0 1 0 0 36 48 80 -0.874878027713492
+24 0 1 0 0 36 48 82 -0.755782455628652
+24 0 1 0 0 36 48 84 -0.605088732289122
+24 0 1 0 0 36 48 86 -0.424445214822042
+24 0 1 0 0 36 48 88 -0.229476850807541
+24 0 1 0 0 36 48 90 -0.0210421646096429
+24 0 1 0 0 36 48 92 0.183357686682359
+24 0 1 0 0 36 48 94 0.379173438218408
+24 0 1 0 0 36 48 96 0.558967039599973
+24 0 1 0 0 36 48 98 0.720674708047907
+24 0 1 0 0 36 48 100 0.852945626096245
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 0.0366537871850513
+24 0 0 0 0 36 48 4 -0.376202192315102
+24 0 0 0 0 36 48 8 -0.723996248719048
+24 0 0 0 0 36 48 12 -0.946605480875112
+24 0 0 0 0 36 48 16 -1.00552927590843
+24 0 0 0 0 36 48 20 -0.890551632610173
+24 0 0 0 0 36 48 24 -0.621312470557276
+24 0 0 0 0 36 48 28 -0.244181071425793
+24 0 0 0 0 36 48 32 0.177040547373138
+24 0 0 0 0 36 48 36 0.566674667764393
+24 0 0 0 0 36 48 40 0.850165102399568
+24 0 0 0 0 36 48 44 0.992807440780675
+24 0 0 0 0 36 48 48 0.957900154946224
+24 0 0 0 0 36 48 52 0.754714518429059
+24 0 0 0 0 36 48 56 0.419894640214535
+24 0 0 0 0 36 48 60 0.0139474788050337
+24 0 0 0 0 36 48 64 -0.392525077038734
+24 0 0 0 0 36 48 68 -0.731860912054079
+24 0 0 0 0 36 48 72 -0.94447954695528
+24 0 0 0 0 36 48 76 -0.993814110325832
+24 0 0 0 0 36 48 80 -0.874878027713492
+24 0 0 0 0 36 48 84 -0.605088732289122
+24 0 0 0 0 36 48 88 -0.229476850807541
+24 0 0 0 0 36 48 92 0.183357686682359
+24 0 0 0 0 36 48 96 0.558967039599973
+24 0 0 0 0 36 48 100 0.852945626096245
+24 0 0 0 0 36 48 104 1.00081194158219
+24 0 0 0 0 36 48 108 0.968171917919814
+24 0 0 0 0 36 48 112 0.773393940921524
+24 0 0 0 0 36 48 116 0.4430810419628
+24 0 0 0 0 36 48 120 0.0366537871850513
+24 0 0 0 0 36 48 124 -0.376202192315102
+24 0 0 0 0 36 48 128 -0.723996248719048
+24 0 0 0 0 36 48 132 -0.946605480875112
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vx.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vx.xl
new file mode 100644
index 000000000..7341851a8
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vx.xl
@@ -0,0 +1,1082 @@
+# HYDROTOY::vx x (vx)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0.374387331157387
+0 0 2 0 0 28 48 64 0.426199910483233
+0 0 2 0 0 29 48 64 0.473342954401761
+0 0 2 0 0 30 48 64 0.515299953858481
+0 0 2 0 0 31 48 64 0.55161121918728
+0 0 2 0 0 32 48 64 0.581878916566594
+0 0 2 0 0 33 48 64 0.605771426770014
+0 0 2 0 0 34 48 64 0.62302697845592
+0 0 2 0 0 35 48 64 0.633456516189086
+0 0 2 0 0 36 48 64 0.636945771771587
+0 0 2 0 0 37 48 64 0.633456516189086
+0 0 2 0 0 38 48 64 0.62302697845592
+0 0 2 0 0 39 48 64 0.605771426770014
+0 0 2 0 0 40 48 64 0.581878916566594
+0 0 2 0 0 41 48 64 0.55161121918728
+0 0 2 0 0 42 48 64 0.515299953858481
+0 0 2 0 0 43 48 64 0.47334295440176
+0 0 2 0 0 44 48 64 0.426199910483233
+0 0 2 0 0 45 48 64 0.374387331157387
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -0.196827067972686
+0 0 1 0 0 20 48 64 -0.0665789627081124
+0 0 1 0 0 22 48 64 0.0665789627081145
+0 0 1 0 0 24 48 64 0.196827067972688
+0 0 1 0 0 26 48 64 0.318472885885794
+0 0 1 0 0 28 48 64 0.426199910483233
+0 0 1 0 0 30 48 64 0.515299953858481
+0 0 1 0 0 32 48 64 0.581878916566594
+0 0 1 0 0 34 48 64 0.62302697845592
+0 0 1 0 0 36 48 64 0.636945771771587
+0 0 1 0 0 38 48 64 0.62302697845592
+0 0 1 0 0 40 48 64 0.581878916566594
+0 0 1 0 0 42 48 64 0.515299953858481
+0 0 1 0 0 44 48 64 0.426199910483233
+0 0 1 0 0 46 48 64 0.318472885885794
+0 0 1 0 0 48 48 64 0.196827067972688
+0 0 1 0 0 50 48 64 0.0665789627081145
+0 0 1 0 0 52 48 64 -0.0665789627081126
+0 0 1 0 0 54 48 64 -0.196827067972686
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -0.515299953858482
+0 0 0 0 0 4 48 64 -0.62302697845592
+0 0 0 0 0 8 48 64 -0.62302697845592
+0 0 0 0 0 12 48 64 -0.51529995385848
+0 0 0 0 0 16 48 64 -0.318472885885792
+0 0 0 0 0 20 48 64 -0.0665789627081124
+0 0 0 0 0 24 48 64 0.196827067972688
+0 0 0 0 0 28 48 64 0.426199910483233
+0 0 0 0 0 32 48 64 0.581878916566594
+0 0 0 0 0 36 48 64 0.636945771771587
+0 0 0 0 0 40 48 64 0.581878916566594
+0 0 0 0 0 44 48 64 0.426199910483233
+0 0 0 0 0 48 48 64 0.196827067972688
+0 0 0 0 0 52 48 64 -0.0665789627081126
+0 0 0 0 0 56 48 64 -0.318472885885792
+0 0 0 0 0 60 48 64 -0.51529995385848
+0 0 0 0 0 64 48 64 -0.62302697845592
+0 0 0 0 0 68 48 64 -0.62302697845592
+0 0 0 0 0 72 48 64 -0.515299953858482
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0.415209098701788
+1 0 2 0 0 28 48 64 0.463442390111039
+1 0 2 0 0 29 48 64 0.507031761119497
+1 0 2 0 0 30 48 64 0.544285038367555
+1 0 2 0 0 31 48 64 0.575886011726491
+1 0 2 0 0 32 48 64 0.601177457429056
+1 0 2 0 0 33 48 64 0.619882277103558
+1 0 2 0 0 34 48 64 0.631795536831408
+1 0 2 0 0 35 48 64 0.636786712446016
+1 0 2 0 0 36 48 64 0.63480111958288
+1 0 2 0 0 37 48 64 0.625860512812919
+1 0 2 0 0 38 48 64 0.610062847294848
+1 0 2 0 0 39 48 64 0.587581205557956
+1 0 2 0 0 40 48 64 0.558661901173699
+1 0 2 0 0 41 48 64 0.523621780092664
+1 0 2 0 0 42 48 64 0.482844749214032
+1 0 2 0 0 43 48 64 0.436533800510173
+1 0 2 0 0 44 48 64 0.386133747478479
+1 0 2 0 0 45 48 64 0.331051619143378
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0.453478940794559
+2 0 2 0 0 28 48 64 0.497773510679683
+2 0 2 0 0 29 48 64 0.537331444849148
+2 0 2 0 0 30 48 64 0.569543939890536
+2 0 2 0 0 31 48 64 0.596286120524326
+2 0 2 0 0 32 48 64 0.616420941848547
+2 0 2 0 0 33 48 64 0.62981184499232
+2 0 2 0 0 34 48 64 0.636302397765754
+2 0 2 0 0 35 48 64 0.63582148831443
+2 0 2 0 0 36 48 64 0.628374385582933
+2 0 2 0 0 37 48 64 0.614042681587195
+2 0 2 0 0 38 48 64 0.592983397475296
+2 0 2 0 0 39 48 64 0.565427263170904
+2 0 2 0 0 40 48 64 0.53167618944795
+2 0 2 0 0 41 48 64 0.492092342329538
+2 0 2 0 0 42 48 64 0.447100384207639
+2 0 2 0 0 43 48 64 0.396846093729799
+2 0 2 0 0 44 48 64 0.343265013492209
+2 0 2 0 0 45 48 64 0.285282407381633
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -0.0973195350500494
+2 0 1 0 0 20 48 64 0.0356668155049764
+2 0 1 0 0 22 48 64 0.169271369771323
+2 0 1 0 0 24 48 64 0.293071522772708
+2 0 1 0 0 26 48 64 0.404256490972886
+2 0 1 0 0 28 48 64 0.497773510679683
+2 0 1 0 0 30 48 64 0.569543939890536
+2 0 1 0 0 32 48 64 0.616420941848547
+2 0 1 0 0 34 48 64 0.636302397765754
+2 0 1 0 0 36 48 64 0.628374385582933
+2 0 1 0 0 38 48 64 0.592983397475296
+2 0 1 0 0 40 48 64 0.53167618944795
+2 0 1 0 0 42 48 64 0.447100384207639
+2 0 1 0 0 44 48 64 0.343265013492209
+2 0 1 0 0 46 48 64 0.22419968498093
+2 0 1 0 0 48 48 64 0.0953357544065354
+2 0 1 0 0 50 48 64 -0.0371738401891932
+2 0 1 0 0 52 48 64 -0.167163605655932
+2 0 1 0 0 54 48 64 -0.291147369612687
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0.488475431137181
+3 0 2 0 0 28 48 64 0.528551497962156
+3 0 2 0 0 29 48 64 0.56401022967574
+3 0 2 0 0 30 48 64 0.590911982676096
+3 0 2 0 0 31 48 64 0.612695469953653
+3 0 2 0 0 32 48 64 0.627503201183333
+3 0 2 0 0 33 48 64 0.63549339430043
+3 0 2 0 0 34 48 64 0.636517106211236
+3 0 2 0 0 35 48 64 0.630567307214526
+3 0 2 0 0 36 48 64 0.617708880845281
+3 0 2 0 0 37 48 64 0.598082706713601
+3 0 2 0 0 38 48 64 0.571903813290315
+3 0 2 0 0 39 48 64 0.539458783953694
+3 0 2 0 0 40 48 64 0.501101613626932
+3 0 2 0 0 41 48 64 0.457225289456085
+3 0 2 0 0 42 48 64 0.408317144889896
+3 0 2 0 0 43 48 64 0.354570400036005
+3 0 2 0 0 44 48 64 0.29836488536318
+3 0 2 0 0 45 48 64 0.237890132355784
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0.520434500370626
+4 0 2 0 0 28 48 64 0.555990276700794
+4 0 2 0 0 29 48 64 0.586865418231431
+4 0 2 0 0 30 48 64 0.60824536703471
+4 0 2 0 0 31 48 64 0.625018499660168
+4 0 2 0 0 32 48 64 0.634343056557034
+4 0 2 0 0 33 48 64 0.636890776096436
+4 0 2 0 0 34 48 64 0.6324380136995
+4 0 2 0 0 35 48 64 0.6210595786985
+4 0 2 0 0 36 48 64 0.602876514907985
+4 0 2 0 0 37 48 64 0.578088211911727
+4 0 2 0 0 38 48 64 0.546966162393243
+4 0 2 0 0 39 48 64 0.509849505075659
+4 0 2 0 0 40 48 64 0.46714115406134
+4 0 2 0 0 41 48 64 0.41925065825002
+4 0 2 0 0 42 48 64 0.366786151089624
+4 0 2 0 0 43 48 64 0.30999616415485
+4 0 2 0 0 44 48 64 0.25117630414514
+4 0 2 0 0 45 48 64 0.188570587524289
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 0.00664574421749244
+4 0 1 0 0 20 48 64 0.139079131940516
+4 0 1 0 0 22 48 64 0.267990694475707
+4 0 1 0 0 24 48 64 0.381367593493265
+4 0 1 0 0 26 48 64 0.479211741412849
+4 0 1 0 0 28 48 64 0.555990276700794
+4 0 1 0 0 30 48 64 0.60824536703471
+4 0 1 0 0 32 48 64 0.634343056557034
+4 0 1 0 0 34 48 64 0.6324380136995
+4 0 1 0 0 36 48 64 0.602876514907985
+4 0 1 0 0 38 48 64 0.546966162393243
+4 0 1 0 0 40 48 64 0.46714115406134
+4 0 1 0 0 42 48 64 0.366786151089624
+4 0 1 0 0 44 48 64 0.25117630414514
+4 0 1 0 0 46 48 64 0.123904363243549
+4 0 1 0 0 48 48 64 -0.00858254917153948
+4 0 1 0 0 50 48 64 -0.139448071603551
+4 0 1 0 0 52 48 64 -0.265429365246958
+4 0 1 0 0 54 48 64 -0.379908726375628
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -0.608492170320791
+4 0 0 0 0 4 48 64 -0.633457407715208
+4 0 0 0 0 8 48 64 -0.548892104535778
+4 0 0 0 0 12 48 64 -0.369418369953888
+4 0 0 0 0 16 48 64 -0.126068843146438
+4 0 0 0 0 20 48 64 0.139079131940516
+4 0 0 0 0 24 48 64 0.381367593493265
+4 0 0 0 0 28 48 64 0.555990276700794
+4 0 0 0 0 32 48 64 0.634343056557034
+4 0 0 0 0 36 48 64 0.602876514907985
+4 0 0 0 0 40 48 64 0.46714115406134
+4 0 0 0 0 44 48 64 0.25117630414514
+4 0 0 0 0 48 48 64 -0.00858254917153948
+4 0 0 0 0 52 48 64 -0.265429365246958
+4 0 0 0 0 56 48 64 -0.478313108700085
+4 0 0 0 0 60 48 64 -0.608492170320791
+4 0 0 0 0 64 48 64 -0.633457407715208
+4 0 0 0 0 68 48 64 -0.548892104535778
+4 0 0 0 0 72 48 64 -0.369418369953888
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0.548686506758381
+5 0 2 0 0 28 48 64 0.579463692406803
+5 0 2 0 0 29 48 64 0.605720399782691
+5 0 2 0 0 30 48 64 0.621447170667601
+5 0 2 0 0 31 48 64 0.633182616389233
+5 0 2 0 0 32 48 64 0.636886147540174
+5 0 2 0 0 33 48 64 0.633999447161221
+5 0 2 0 0 34 48 64 0.624091892734295
+5 0 2 0 0 35 48 64 0.607362537961676
+5 0 2 0 0 36 48 64 0.583977300176662
+5 0 2 0 0 37 48 64 0.554193956030146
+5 0 2 0 0 38 48 64 0.518338229818814
+5 0 2 0 0 39 48 64 0.476796342527192
+5 0 2 0 0 40 48 64 0.43002140669958
+5 0 2 0 0 41 48 64 0.378431999844101
+5 0 2 0 0 42 48 64 0.322799302131819
+5 0 2 0 0 43 48 64 0.263427832280763
+5 0 2 0 0 44 48 64 0.202641291298467
+5 0 2 0 0 45 48 64 0.138363126149247
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0.573422837548203
+6 0 2 0 0 28 48 64 0.599180463243114
+6 0 2 0 0 29 48 64 0.620446498163252
+6 0 2 0 0 30 48 64 0.630438162711563
+6 0 2 0 0 31 48 64 0.637130867392252
+6 0 2 0 0 32 48 64 0.635107190001493
+6 0 2 0 0 33 48 64 0.62684660391392
+6 0 2 0 0 34 48 64 0.611533309659952
+6 0 2 0 0 35 48 64 0.589569092195076
+6 0 2 0 0 36 48 64 0.561138616584436
+6 0 2 0 0 37 48 64 0.526560765894301
+6 0 2 0 0 38 48 64 0.486212242678149
+6 0 2 0 0 39 48 64 0.440518864230281
+6 0 2 0 0 40 48 64 0.389992767818748
+6 0 2 0 0 41 48 64 0.335056520735826
+6 0 2 0 0 42 48 64 0.276683325782886
+6 0 2 0 0 43 48 64 0.215175082359304
+6 0 2 0 0 44 48 64 0.152445839669701
+6 0 2 0 0 45 48 64 0.0868769139013946
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0.108210058799784
+6 0 1 0 0 20 48 64 0.236717959365883
+6 0 1 0 0 22 48 64 0.3600123823013
+6 0 1 0 0 24 48 64 0.459313830815673
+6 0 1 0 0 26 48 64 0.541367828724082
+6 0 1 0 0 28 48 64 0.599180463243114
+6 0 1 0 0 30 48 64 0.630438162711563
+6 0 1 0 0 32 48 64 0.635107190001493
+6 0 1 0 0 34 48 64 0.611533309659952
+6 0 1 0 0 36 48 64 0.561138616584436
+6 0 1 0 0 38 48 64 0.486212242678149
+6 0 1 0 0 40 48 64 0.389992767818748
+6 0 1 0 0 42 48 64 0.276683325782886
+6 0 1 0 0 44 48 64 0.152445839669701
+6 0 1 0 0 46 48 64 0.0203325370825568
+6 0 1 0 0 48 48 64 -0.112120882211486
+6 0 1 0 0 50 48 64 -0.237591179625909
+6 0 1 0 0 52 48 64 -0.354405853631302
+6 0 1 0 0 54 48 64 -0.456529014462486
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0.594154195646264
+7 0 2 0 0 28 48 64 0.614677675028154
+7 0 2 0 0 29 48 64 0.63093920983079
+7 0 2 0 0 30 48 64 0.635177474641797
+7 0 2 0 0 31 48 64 0.636827627983999
+7 0 2 0 0 32 48 64 0.629012254088869
+7 0 2 0 0 33 48 64 0.615489951204166
+7 0 2 0 0 34 48 64 0.594843913206988
+7 0 2 0 0 35 48 64 0.567800593952105
+7 0 2 0 0 36 48 64 0.534514205498578
+7 0 2 0 0 37 48 64 0.495374292680557
+7 0 2 0 0 38 48 64 0.450803661538569
+7 0 2 0 0 39 48 64 0.401259008387553
+7 0 2 0 0 40 48 64 0.347329017218279
+7 0 2 0 0 41 48 64 0.289438782518521
+7 0 2 0 0 42 48 64 0.228754807211214
+7 0 2 0 0 43 48 64 0.165551820417876
+7 0 2 0 0 44 48 64 0.101577702436304
+7 0 2 0 0 45 48 64 0.0352004202873024
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0.610996800836489
+8 0 2 0 0 28 48 64 0.626109632489114
+8 0 2 0 0 29 48 64 0.63714332142111
+8 0 2 0 0 30 48 64 0.635639981337724
+8 0 2 0 0 31 48 64 0.632256118313554
+8 0 2 0 0 32 48 64 0.618640243284
+8 0 2 0 0 33 48 64 0.600015551552471
+8 0 2 0 0 34 48 64 0.574131846907294
+8 0 2 0 0 35 48 64 0.542206418816047
+8 0 2 0 0 36 48 64 0.504282895512788
+8 0 2 0 0 37 48 64 0.460843732862034
+8 0 2 0 0 38 48 64 0.412350078110963
+8 0 2 0 0 39 48 64 0.359281206261346
+8 0 2 0 0 40 48 64 0.302325998136408
+8 0 2 0 0 41 48 64 0.241906821171052
+8 0 2 0 0 42 48 64 0.179356720474397
+8 0 2 0 0 43 48 64 0.114877276798828
+8 0 2 0 0 44 48 64 0.0497076285391217
+8 0 2 0 0 45 48 64 -0.0170725308716397
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0.20985486502644
+8 0 1 0 0 20 48 64 0.330896640191952
+8 0 1 0 0 22 48 64 0.442672366425865
+8 0 1 0 0 24 48 64 0.524673947428263
+8 0 1 0 0 26 48 64 0.589078941048663
+8 0 1 0 0 28 48 64 0.626109632489114
+8 0 1 0 0 30 48 64 0.635639981337724
+8 0 1 0 0 32 48 64 0.618640243284
+8 0 1 0 0 34 48 64 0.574131846907294
+8 0 1 0 0 36 48 64 0.504282895512788
+8 0 1 0 0 38 48 64 0.412350078110963
+8 0 1 0 0 40 48 64 0.302325998136408
+8 0 1 0 0 42 48 64 0.179356720474397
+8 0 1 0 0 44 48 64 0.0497076285391217
+8 0 1 0 0 46 48 64 -0.0836918070834078
+8 0 1 0 0 48 48 64 -0.212367107318281
+8 0 1 0 0 50 48 64 -0.329111704809241
+8 0 1 0 0 52 48 64 -0.436416533425594
+8 0 1 0 0 54 48 64 -0.523397131801485
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -0.638086200378305
+8 0 0 0 0 4 48 64 -0.57748024821656
+8 0 0 0 0 8 48 64 -0.417022714894814
+8 0 0 0 0 12 48 64 -0.184458165635327
+8 0 0 0 0 16 48 64 0.0800380178333529
+8 0 0 0 0 20 48 64 0.330896640191952
+8 0 0 0 0 24 48 64 0.524673947428263
+8 0 0 0 0 28 48 64 0.626109632489114
+8 0 0 0 0 32 48 64 0.618640243284
+8 0 0 0 0 36 48 64 0.504282895512788
+8 0 0 0 0 40 48 64 0.302325998136408
+8 0 0 0 0 44 48 64 0.0497076285391217
+8 0 0 0 0 48 48 64 -0.212367107318281
+8 0 0 0 0 52 48 64 -0.436416533425594
+8 0 0 0 0 56 48 64 -0.588421629037836
+8 0 0 0 0 60 48 64 -0.638086200378305
+8 0 0 0 0 64 48 64 -0.57748024821656
+8 0 0 0 0 68 48 64 -0.417022714894814
+8 0 0 0 0 72 48 64 -0.184458165635327
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0.62364387953835
+9 0 2 0 0 28 48 64 0.633195382228976
+9 0 2 0 0 29 48 64 0.639025467998563
+9 0 2 0 0 30 48 64 0.63183082327273
+9 0 2 0 0 31 48 64 0.623426075194888
+9 0 2 0 0 32 48 64 0.604063470489263
+9 0 2 0 0 33 48 64 0.580534902401887
+9 0 2 0 0 34 48 64 0.549531363045302
+9 0 2 0 0 35 48 64 0.512963172831788
+9 0 2 0 0 36 48 64 0.470647115210927
+9 0 2 0 0 37 48 64 0.423200663520515
+9 0 2 0 0 38 48 64 0.371110246532723
+9 0 2 0 0 39 48 64 0.314871961422551
+9 0 2 0 0 40 48 64 0.255299102049644
+9 0 2 0 0 41 48 64 0.192804340017126
+9 0 2 0 0 42 48 64 0.128813391830755
+9 0 2 0 0 43 48 64 0.0634730293136266
+9 0 2 0 0 44 48 64 -0.00215037860468994
+9 0 2 0 0 45 48 64 -0.0688302673926655
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0.632152079513381
+10 0 2 0 0 28 48 64 0.63602857538008
+10 0 2 0 0 29 48 64 0.636597125522463
+10 0 2 0 0 30 48 64 0.623772178708004
+10 0 2 0 0 31 48 64 0.610374669884799
+10 0 2 0 0 32 48 64 0.585386784084873
+10 0 2 0 0 33 48 64 0.557182026404185
+10 0 2 0 0 34 48 64 0.521202660393054
+10 0 2 0 0 35 48 64 0.480273369405516
+10 0 2 0 0 36 48 64 0.433831303041527
+10 0 2 0 0 37 48 64 0.382698091138149
+10 0 2 0 0 38 48 64 0.327363087100221
+10 0 2 0 0 39 48 64 0.268338948070378
+10 0 2 0 0 40 48 64 0.206579724390037
+10 0 2 0 0 41 48 64 0.142475968616333
+10 0 2 0 0 42 48 64 0.0774703479636887
+10 0 2 0 0 43 48 64 0.0116685379972373
+10 0 2 0 0 44 48 64 -0.0543343201341828
+10 0 2 0 0 45 48 64 -0.120473915806961
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0.30336785861772
+10 0 1 0 0 20 48 64 0.413778146486712
+10 0 1 0 0 22 48 64 0.513544759174267
+10 0 1 0 0 24 48 64 0.575751422339111
+10 0 1 0 0 26 48 64 0.62111653907505
+10 0 1 0 0 28 48 64 0.63602857538008
+10 0 1 0 0 30 48 64 0.623772178708004
+10 0 1 0 0 32 48 64 0.585386784084873
+10 0 1 0 0 34 48 64 0.521202660393054
+10 0 1 0 0 36 48 64 0.433831303041527
+10 0 1 0 0 38 48 64 0.327363087100221
+10 0 1 0 0 40 48 64 0.206579724390037
+10 0 1 0 0 42 48 64 0.0774703479636887
+10 0 1 0 0 44 48 64 -0.0543343201341828
+10 0 1 0 0 46 48 64 -0.185290255741073
+10 0 1 0 0 48 48 64 -0.306686678659708
+10 0 1 0 0 50 48 64 -0.41178727631377
+10 0 1 0 0 52 48 64 -0.504881223259613
+10 0 1 0 0 54 48 64 -0.574672119963842
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 0.636374286550646
+11 0 2 0 0 28 48 64 0.634510981108849
+11 0 2 0 0 29 48 64 0.629886501255216
+11 0 2 0 0 30 48 64 0.611512362118719
+11 0 2 0 0 31 48 64 0.593173046494493
+11 0 2 0 0 32 48 64 0.562745613680561
+11 0 2 0 0 33 48 64 0.530111000349898
+11 0 2 0 0 34 48 64 0.489331804612862
+11 0 2 0 0 35 48 64 0.444363491529422
+11 0 2 0 0 36 48 64 0.394080357695485
+11 0 2 0 0 37 48 64 0.339609705596599
+11 0 2 0 0 38 48 64 0.281406509528054
+11 0 2 0 0 39 48 64 0.220008786956906
+11 0 2 0 0 40 48 64 0.156510820155268
+11 0 2 0 0 41 48 64 0.0912710311738245
+11 0 2 0 0 42 48 64 0.0256508186909056
+11 0 2 0 0 43 48 64 -0.0402047494937049
+11 0 2 0 0 44 48 64 -0.105814765113838
+11 0 2 0 0 45 48 64 -0.170922666701598
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 0.636324944526299
+12 0 2 0 0 28 48 64 0.628675343026474
+12 0 2 0 0 29 48 64 0.618960360684131
+12 0 2 0 0 30 48 64 0.595122249123747
+12 0 2 0 0 31 48 64 0.571927180083293
+12 0 2 0 0 32 48 64 0.536302930786077
+12 0 2 0 0 33 48 64 0.499494526516962
+12 0 2 0 0 34 48 64 0.454130538797766
+12 0 2 0 0 35 48 64 0.405481488220927
+12 0 2 0 0 36 48 64 0.351658267237628
+12 0 2 0 0 37 48 64 0.294229197326839
+12 0 2 0 0 38 48 64 0.233555787006129
+12 0 2 0 0 39 48 64 0.170223930310464
+12 0 2 0 0 40 48 64 0.105442160421705
+12 0 2 0 0 41 48 64 0.039531201328439
+12 0 2 0 0 42 48 64 -0.026301479926341
+12 0 2 0 0 43 48 64 -0.0918056487809362
+12 0 2 0 0 44 48 64 -0.156934857188829
+12 0 2 0 0 45 48 64 -0.220552488432741
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0.391396925751387
+12 0 1 0 0 20 48 64 0.487974820894167
+12 0 1 0 0 22 48 64 0.570631800016311
+12 0 1 0 0 24 48 64 0.611104769043014
+12 0 1 0 0 26 48 64 0.6366240759287
+12 0 1 0 0 28 48 64 0.628675343026474
+12 0 1 0 0 30 48 64 0.595122249123747
+12 0 1 0 0 32 48 64 0.536302930786077
+12 0 1 0 0 34 48 64 0.454130538797766
+12 0 1 0 0 36 48 64 0.351658267237628
+12 0 1 0 0 38 48 64 0.233555787006129
+12 0 1 0 0 40 48 64 0.105442160421705
+12 0 1 0 0 42 48 64 -0.026301479926341
+12 0 1 0 0 44 48 64 -0.156934857188829
+12 0 1 0 0 46 48 64 -0.281685036436353
+12 0 1 0 0 48 48 64 -0.392526319849238
+12 0 1 0 0 50 48 64 -0.483509581282904
+12 0 1 0 0 52 48 64 -0.561993316923433
+12 0 1 0 0 54 48 64 -0.612418707803274
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -0.600768398793927
+12 0 0 0 0 4 48 64 -0.460811012388645
+12 0 0 0 0 8 48 64 -0.241137210479794
+12 0 0 0 0 12 48 64 0.0202454540744
+12 0 0 0 0 16 48 64 0.278224107838708
+12 0 0 0 0 20 48 64 0.487974820894167
+12 0 0 0 0 24 48 64 0.611104769043014
+12 0 0 0 0 28 48 64 0.628675343026474
+12 0 0 0 0 32 48 64 0.536302930786077
+12 0 0 0 0 36 48 64 0.351658267237628
+12 0 0 0 0 40 48 64 0.105442160421705
+12 0 0 0 0 44 48 64 -0.156934857188829
+12 0 0 0 0 48 48 64 -0.392526319849238
+12 0 0 0 0 52 48 64 -0.561993316923433
+12 0 0 0 0 56 48 64 -0.637141484623479
+12 0 0 0 0 60 48 64 -0.600768398793927
+12 0 0 0 0 64 48 64 -0.460811012388645
+12 0 0 0 0 68 48 64 -0.241137210479794
+12 0 0 0 0 72 48 64 0.0202454540744
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 0.632010077454931
+13 0 2 0 0 28 48 64 0.618595039651473
+13 0 2 0 0 29 48 64 0.603898187142523
+13 0 2 0 0 30 48 64 0.574698276565232
+13 0 2 0 0 31 48 64 0.546779898569795
+13 0 2 0 0 32 48 64 0.506245901884982
+13 0 2 0 0 33 48 64 0.46552369214518
+13 0 2 0 0 34 48 64 0.415835726145361
+13 0 2 0 0 35 48 64 0.363893898140501
+13 0 2 0 0 36 48 64 0.306846999516293
+13 0 2 0 0 37 48 64 0.246869370974485
+13 0 2 0 0 38 48 64 0.184141342645286
+13 0 2 0 0 39 48 64 0.119338292191821
+13 0 2 0 0 40 48 64 0.0537256660721423
+13 0 2 0 0 41 48 64 -0.0124021770236127
+13 0 2 0 0 42 48 64 -0.0780646959265949
+13 0 2 0 0 43 48 64 -0.142793802789504
+13 0 2 0 0 44 48 64 -0.206662511365369
+13 0 2 0 0 45 48 64 -0.268319342742164
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 0.623401371431278
+14 0 2 0 0 28 48 64 0.604245611477673
+14 0 2 0 0 29 48 64 0.584813870278042
+14 0 2 0 0 30 48 64 0.550366429037226
+14 0 2 0 0 31 48 64 0.517909330179937
+14 0 2 0 0 32 48 64 0.472782517682753
+14 0 2 0 0 33 48 64 0.428408878498691
+14 0 2 0 0 34 48 64 0.374708220847661
+14 0 2 0 0 35 48 64 0.319882913562155
+14 0 2 0 0 36 48 64 0.259945639810918
+14 0 2 0 0 37 48 64 0.197860722301568
+14 0 2 0 0 38 48 64 0.133505822766152
+14 0 2 0 0 39 48 64 0.0677125511877773
+14 0 2 0 0 40 48 64 0.00171148802469069
+14 0 2 0 0 41 48 64 -0.0641971045540408
+14 0 2 0 0 42 48 64 -0.129295218791797
+14 0 2 0 0 43 48 64 -0.192820843948804
+14 0 2 0 0 44 48 64 -0.255341755974721
+14 0 2 0 0 45 48 64 -0.31457860970983
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0.466774302531391
+14 0 1 0 0 20 48 64 0.546970017442211
+14 0 1 0 0 22 48 64 0.612208958514015
+14 0 1 0 0 24 48 64 0.629886344943028
+14 0 1 0 0 26 48 64 0.635195272095683
+14 0 1 0 0 28 48 64 0.604245611477673
+14 0 1 0 0 30 48 64 0.550366429037226
+14 0 1 0 0 32 48 64 0.472782517682753
+14 0 1 0 0 34 48 64 0.374708220847661
+14 0 1 0 0 36 48 64 0.259945639810918
+14 0 1 0 0 38 48 64 0.133505822766152
+14 0 1 0 0 40 48 64 0.00171148802469069
+14 0 1 0 0 42 48 64 -0.129295218791797
+14 0 1 0 0 44 48 64 -0.255341755974721
+14 0 1 0 0 46 48 64 -0.37023673627477
+14 0 1 0 0 48 48 64 -0.467730752217817
+14 0 1 0 0 50 48 64 -0.54260518474101
+14 0 1 0 0 52 48 64 -0.602991317616119
+14 0 1 0 0 54 48 64 -0.633087948771736
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 0.610652050833014
+15 0 2 0 0 28 48 64 0.585859431894837
+15 0 2 0 0 29 48 64 0.561833518679241
+15 0 2 0 0 30 48 64 0.522277626070751
+15 0 2 0 0 31 48 64 0.485525489719229
+15 0 2 0 0 32 48 64 0.436138923534539
+15 0 2 0 0 33 48 64 0.388381451556427
+15 0 2 0 0 34 48 64 0.331031041806566
+15 0 2 0 0 35 48 64 0.273743743762132
+15 0 2 0 0 36 48 64 0.211269641245549
+15 0 2 0 0 37 48 64 0.147549161007142
+15 0 2 0 0 38 48 64 0.0820005669589072
+15 0 2 0 0 39 48 64 0.0157091126424057
+15 0 2 0 0 40 48 64 -0.0502549908832164
+15 0 2 0 0 41 48 64 -0.115521027649002
+15 0 2 0 0 42 48 64 -0.179670222654115
+15 0 2 0 0 43 48 64 -0.241546483858453
+15 0 2 0 0 44 48 64 -0.301962232207357
+15 0 2 0 0 45 48 64 -0.358360747329471
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 0.593679983124497
+16 0 2 0 0 28 48 64 0.563359043106377
+16 0 2 0 0 29 48 64 0.535116828347324
+16 0 2 0 0 30 48 64 0.490616796646616
+16 0 2 0 0 31 48 64 0.449866986271758
+16 0 2 0 0 32 48 64 0.396557533136505
+16 0 2 0 0 33 48 64 0.345695608829203
+16 0 2 0 0 34 48 64 0.285106857117024
+16 0 2 0 0 35 48 64 0.225782593515193
+16 0 2 0 0 36 48 64 0.161149945420153
+16 0 2 0 0 37 48 64 0.0962926759536991
+16 0 2 0 0 38 48 64 0.0299816390777281
+16 0 2 0 0 39 48 64 -0.0363122359411705
+16 0 2 0 0 40 48 64 -0.1018349077744
+16 0 2 0 0 41 48 64 -0.166048372853894
+16 0 2 0 0 42 48 64 -0.228846202057964
+16 0 2 0 0 43 48 64 -0.288627850028269
+16 0 2 0 0 44 48 64 -0.34686072633312
+16 0 2 0 0 45 48 64 -0.399996753033512
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0.531638876074628
+16 0 1 0 0 20 48 64 0.59293595145488
+16 0 1 0 0 22 48 64 0.637152972171547
+16 0 1 0 0 24 48 64 0.631578578547155
+16 0 1 0 0 26 48 64 0.616811926320397
+16 0 1 0 0 28 48 64 0.563359043106377
+16 0 1 0 0 30 48 64 0.490616796646616
+16 0 1 0 0 32 48 64 0.396557533136505
+16 0 1 0 0 34 48 64 0.285106857117024
+16 0 1 0 0 36 48 64 0.161149945420153
+16 0 1 0 0 38 48 64 0.0299816390777281
+16 0 1 0 0 40 48 64 -0.1018349077744
+16 0 1 0 0 42 48 64 -0.228846202057964
+16 0 1 0 0 44 48 64 -0.34686072633312
+16 0 1 0 0 46 48 64 -0.448590826956242
+16 0 1 0 0 48 48 64 -0.530387210762682
+16 0 1 0 0 50 48 64 -0.587549879878981
+16 0 1 0 0 52 48 64 -0.629462390937985
+16 0 1 0 0 54 48 64 -0.637809096366296
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -0.500259662214564
+16 0 0 0 0 4 48 64 -0.295572052456995
+16 0 0 0 0 8 48 64 -0.0396132748656795
+16 0 0 0 0 12 48 64 0.223203594768137
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+16 0 0 0 0 20 48 64 0.59293595145488
+16 0 0 0 0 24 48 64 0.631578578547155
+16 0 0 0 0 28 48 64 0.563359043106377
+16 0 0 0 0 32 48 64 0.396557533136505
+16 0 0 0 0 36 48 64 0.161149945420153
+16 0 0 0 0 40 48 64 -0.1018349077744
+16 0 0 0 0 44 48 64 -0.34686072633312
+16 0 0 0 0 48 48 64 -0.530387210762682
+16 0 0 0 0 52 48 64 -0.629462390937985
+16 0 0 0 0 56 48 64 -0.619123738384079
+16 0 0 0 0 60 48 64 -0.500259662214564
+16 0 0 0 0 64 48 64 -0.295572052456995
+16 0 0 0 0 68 48 64 -0.0396132748656795
+16 0 0 0 0 72 48 64 0.223203594768137
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 0.57280876980627
+17 0 2 0 0 28 48 64 0.537130678541673
+17 0 2 0 0 29 48 64 0.504837679738059
+17 0 2 0 0 30 48 64 0.455589695853013
+17 0 2 0 0 31 48 64 0.411194252368365
+17 0 2 0 0 32 48 64 0.354296179130201
+17 0 2 0 0 33 48 64 0.300629827436657
+17 0 2 0 0 34 48 64 0.23725491712634
+17 0 2 0 0 35 48 64 0.176315433342237
+17 0 2 0 0 36 48 64 0.109931662990679
+17 0 2 0 0 37 48 64 0.0444569241207062
+17 0 2 0 0 38 48 64 -0.022194215063768
+17 0 2 0 0 39 48 64 -0.08799812161367
+17 0 2 0 0 40 48 64 -0.152696746727093
+17 0 2 0 0 41 48 64 -0.215451016068538
+17 0 2 0 0 42 48 64 -0.276502067393265
+17 0 2 0 0 43 48 64 -0.333740674948586
+17 0 2 0 0 44 48 64 -0.389088159343108
+17 0 2 0 0 45 48 64 -0.438605425891383
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 0.547878700322903
+18 0 2 0 0 28 48 64 0.507045593724263
+18 0 2 0 0 29 48 64 0.471203699676383
+18 0 2 0 0 30 48 64 0.417436275059436
+18 0 2 0 0 31 48 64 0.369787330365473
+18 0 2 0 0 32 48 64 0.309627941754117
+18 0 2 0 0 33 48 64 0.253487212219433
+18 0 2 0 0 34 48 64 0.18780765847886
+18 0 2 0 0 35 48 64 0.125667538508018
+18 0 2 0 0 36 48 64 0.0579720073070356
+18 0 2 0 0 37 48 64 -0.00759005080479268
+18 0 2 0 0 38 48 64 -0.0741733685673566
+18 0 2 0 0 39 48 64 -0.139004157148443
+18 0 2 0 0 40 48 64 -0.202516308954455
+18 0 2 0 0 41 48 64 -0.263406741170151
+18 0 2 0 0 42 48 64 -0.322302305040265
+18 0 2 0 0 43 48 64 -0.376564946462355
+18 0 2 0 0 44 48 64 -0.428960890906954
+18 0 2 0 0 45 48 64 -0.474493574429816
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0.580642612839312
+18 0 1 0 0 20 48 64 0.621484669932099
+18 0 1 0 0 22 48 64 0.644663227554631
+18 0 1 0 0 24 48 64 0.616231375997801
+18 0 1 0 0 26 48 64 0.581896739484881
+18 0 1 0 0 28 48 64 0.507045593724263
+18 0 1 0 0 30 48 64 0.417436275059436
+18 0 1 0 0 32 48 64 0.309627941754117
+18 0 1 0 0 34 48 64 0.18780765847886
+18 0 1 0 0 36 48 64 0.0579720073070356
+18 0 1 0 0 38 48 64 -0.0741733685673566
+18 0 1 0 0 40 48 64 -0.202516308954455
+18 0 1 0 0 42 48 64 -0.322302305040265
+18 0 1 0 0 44 48 64 -0.428960890906954
+18 0 1 0 0 46 48 64 -0.514712829470309
+18 0 1 0 0 48 48 64 -0.579018909287172
+18 0 1 0 0 50 48 64 -0.617324064415187
+18 0 1 0 0 52 48 64 -0.638839998040339
+18 0 1 0 0 54 48 64 -0.625692177049446
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 0.519399841480367
+19 0 2 0 0 28 48 64 0.473643829538867
+19 0 2 0 0 29 48 64 0.434438285569518
+19 0 2 0 0 30 48 64 0.376409349641492
+19 0 2 0 0 31 48 64 0.32593868682846
+19 0 2 0 0 32 48 64 0.262841460771339
+19 0 2 0 0 33 48 64 0.204594547637326
+19 0 2 0 0 34 48 64 0.137107254663402
+19 0 2 0 0 35 48 64 0.074173553104729
+19 0 2 0 0 36 48 64 0.00563725261128618
+19 0 2 0 0 37 48 64 -0.0594835572367437
+19 0 2 0 0 38 48 64 -0.125608503350086
+19 0 2 0 0 39 48 64 -0.18899680237659
+19 0 2 0 0 40 48 64 -0.250976495279037
+19 0 2 0 0 41 48 64 -0.309592303793746
+19 0 2 0 0 42 48 64 -0.365938770211918
+19 0 2 0 0 43 48 64 -0.416809419991196
+19 0 2 0 0 44 48 64 -0.46563569906987
+19 0 2 0 0 45 48 64 -0.506909215123702
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 0.487117561920495
+20 0 2 0 0 28 48 64 0.436745372357245
+20 0 2 0 0 29 48 64 0.394796369153486
+20 0 2 0 0 30 48 64 0.332793264028232
+20 0 2 0 0 31 48 64 0.279954359482625
+20 0 2 0 0 32 48 64 0.214241148858735
+20 0 2 0 0 33 48 64 0.154299714900351
+20 0 2 0 0 34 48 64 0.0855023397672424
+20 0 2 0 0 35 48 64 0.0221776519975054
+20 0 2 0 0 36 48 64 -0.0467013601747625
+20 0 2 0 0 37 48 64 -0.110867880585332
+20 0 2 0 0 38 48 64 -0.176161013051275
+20 0 2 0 0 39 48 64 -0.237654203210091
+20 0 2 0 0 40 48 64 -0.297767017103527
+20 0 2 0 0 41 48 64 -0.35369342141193
+20 0 2 0 0 42 48 64 -0.407099375228689
+20 0 2 0 0 43 48 64 -0.45419258045396
+20 0 2 0 0 44 48 64 -0.499393657816785
+20 0 2 0 0 45 48 64 -0.536119926837706
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0.615258994675805
+20 0 1 0 0 20 48 64 0.634078823873893
+20 0 1 0 0 22 48 64 0.634622619715491
+20 0 1 0 0 24 48 64 0.584254397550866
+20 0 1 0 0 26 48 64 0.531259229203141
+20 0 1 0 0 28 48 64 0.436745372357245
+20 0 1 0 0 30 48 64 0.332793264028232
+20 0 1 0 0 32 48 64 0.214241148858735
+20 0 1 0 0 34 48 64 0.0855023397672424
+20 0 1 0 0 36 48 64 -0.0467013601747625
+20 0 1 0 0 38 48 64 -0.176161013051275
+20 0 1 0 0 40 48 64 -0.297767017103527
+20 0 1 0 0 42 48 64 -0.407099375228689
+20 0 1 0 0 44 48 64 -0.499393657816785
+20 0 1 0 0 46 48 64 -0.566978190577507
+20 0 1 0 0 48 48 64 -0.612480737340643
+20 0 1 0 0 50 48 64 -0.631087706658271
+20 0 1 0 0 52 48 64 -0.631979651872747
+20 0 1 0 0 54 48 64 -0.596828071085002
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -0.346990423109404
+20 0 0 0 0 4 48 64 -0.0990291511949936
+20 0 0 0 0 8 48 64 0.166426312108815
+20 0 0 0 0 12 48 64 0.402977776273659
+20 0 0 0 0 16 48 64 0.569682024116209
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+20 0 0 0 0 28 48 64 0.436745372357245
+20 0 0 0 0 32 48 64 0.214241148858735
+20 0 0 0 0 36 48 64 -0.0467013601747625
+20 0 0 0 0 40 48 64 -0.297767017103527
+20 0 0 0 0 44 48 64 -0.499393657816785
+20 0 0 0 0 48 48 64 -0.612480737340643
+20 0 0 0 0 52 48 64 -0.631979651872747
+20 0 0 0 0 56 48 64 -0.535916682093567
+20 0 0 0 0 60 48 64 -0.346990423109404
+20 0 0 0 0 64 48 64 -0.0990291511949936
+20 0 0 0 0 68 48 64 0.166426312108815
+20 0 0 0 0 72 48 64 0.402977776273659
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 0.451748518579474
+21 0 2 0 0 28 48 64 0.397042144271505
+21 0 2 0 0 29 48 64 0.352547193513141
+21 0 2 0 0 30 48 64 0.286875807067109
+21 0 2 0 0 31 48 64 0.232147658179273
+21 0 2 0 0 32 48 64 0.164147034903423
+21 0 2 0 0 33 48 64 0.10296785614638
+21 0 2 0 0 34 48 64 0.0333450863995681
+21 0 2 0 0 35 48 64 -0.0299667329883256
+21 0 2 0 0 36 48 64 -0.0986726523738491
+21 0 2 0 0 37 48 64 -0.161401150157179
+21 0 2 0 0 38 48 64 -0.225502496907958
+21 0 2 0 0 39 48 64 -0.284666653125526
+21 0 2 0 0 40 48 64 -0.342584658596902
+21 0 2 0 0 41 48 64 -0.395400616019616
+21 0 2 0 0 42 48 64 -0.445505260085937
+21 0 2 0 0 43 48 64 -0.488468990601671
+21 0 2 0 0 44 48 64 -0.529535139649887
+21 0 2 0 0 45 48 64 -0.561523941538042
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 0.41293044190024
+22 0 2 0 0 28 48 64 0.354303504584276
+22 0 2 0 0 29 48 64 0.307985181304401
+22 0 2 0 0 30 48 64 0.23897353569758
+22 0 2 0 0 31 48 64 0.182843662713924
+22 0 2 0 0 32 48 64 0.112893813303211
+22 0 2 0 0 33 48 64 0.0509762900833298
+22 0 2 0 0 34 48 64 -0.0190113200144317
+22 0 2 0 0 35 48 64 -0.0818981519242918
+22 0 2 0 0 36 48 64 -0.149911142137151
+22 0 2 0 0 37 48 64 -0.210758816193874
+22 0 2 0 0 38 48 64 -0.27331545264464
+22 0 2 0 0 39 48 64 -0.329736447042306
+22 0 2 0 0 40 48 64 -0.385133946678812
+22 0 2 0 0 41 48 64 -0.434419719478681
+22 0 2 0 0 42 48 64 -0.480884895870209
+22 0 2 0 0 43 48 64 -0.519406113897492
+22 0 2 0 0 44 48 64 -0.556293353735113
+22 0 2 0 0 45 48 64 -0.583337659334616
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 0.632465561016379
+22 0 1 0 0 20 48 64 0.628979026143002
+22 0 1 0 0 22 48 64 0.607227503933747
+22 0 1 0 0 24 48 64 0.536534266260751
+22 0 1 0 0 26 48 64 0.466129493312181
+22 0 1 0 0 28 48 64 0.354303504584276
+22 0 1 0 0 30 48 64 0.23897353569758
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+22 0 1 0 0 34 48 64 -0.0190113200144317
+22 0 1 0 0 36 48 64 -0.149911142137151
+22 0 1 0 0 38 48 64 -0.27331545264464
+22 0 1 0 0 40 48 64 -0.385133946678812
+22 0 1 0 0 42 48 64 -0.480884895870209
+22 0 1 0 0 44 48 64 -0.556293353735113
+22 0 1 0 0 46 48 64 -0.60417367695848
+22 0 1 0 0 48 48 64 -0.630028505523031
+22 0 1 0 0 50 48 64 -0.628544900321218
+22 0 1 0 0 52 48 64 -0.608695333338602
+22 0 1 0 0 54 48 64 -0.553009903623264
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 0.371582659093864
+23 0 2 0 0 28 48 64 0.309359633756838
+23 0 2 0 0 29 48 64 0.261414794069652
+23 0 2 0 0 30 48 64 0.189398291838572
+23 0 2 0 0 31 48 64 0.132372924671357
+23 0 2 0 0 32 48 64 0.0608290445831618
+23 0 2 0 0 33 48 64 -0.00129108324319935
+23 0 2 0 0 34 48 64 -0.0712148259370554
+23 0 2 0 0 35 48 64 -0.133249749434109
+23 0 2 0 0 36 48 64 -0.200062770889001
+23 0 2 0 0 37 48 64 -0.258635219368492
+23 0 2 0 0 38 48 64 -0.319293322490498
+23 0 2 0 0 39 48 64 -0.372577676352137
+23 0 2 0 0 40 48 64 -0.425128637191649
+23 0 2 0 0 41 48 64 -0.470469859174163
+23 0 2 0 0 42 48 64 -0.513003755739642
+23 0 2 0 0 43 48 64 -0.546811141937519
+23 0 2 0 0 44 48 64 -0.579133509433772
+23 0 2 0 0 45 48 64 -0.601129209486232
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 0.327234146704591
+24 0 2 0 0 28 48 64 0.261933804968766
+24 0 2 0 0 29 48 64 0.213156557324983
+24 0 2 0 0 30 48 64 0.138489305407164
+24 0 2 0 0 31 48 64 0.0810776329660576
+24 0 2 0 0 32 48 64 0.00831040253642024
+24 0 2 0 0 33 48 64 -0.0534498436954148
+24 0 2 0 0 34 48 64 -0.122916418722234
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+24 0 2 0 0 36 48 64 -0.248790078811333
+24 0 2 0 0 37 48 64 -0.304742945220641
+24 0 2 0 0 38 48 64 -0.36314021329459
+24 0 2 0 0 39 48 64 -0.412915818536878
+24 0 2 0 0 40 48 64 -0.462293674349265
+24 0 2 0 0 41 48 64 -0.503293481249763
+24 0 2 0 0 42 48 64 -0.541643668811888
+24 0 2 0 0 43 48 64 -0.570505382591704
+24 0 2 0 0 44 48 64 -0.598233870292096
+24 0 2 0 0 45 48 64 -0.615053460169217
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 0.633019643069239
+24 0 1 0 0 20 48 64 0.606765072451846
+24 0 1 0 0 22 48 64 0.563343513843962
+24 0 1 0 0 24 48 64 0.474322355625836
+24 0 1 0 0 26 48 64 0.388118304456474
+24 0 1 0 0 28 48 64 0.261933804968766
+24 0 1 0 0 30 48 64 0.138489305407164
+24 0 1 0 0 32 48 64 0.00831040253642024
+24 0 1 0 0 34 48 64 -0.122916418722234
+24 0 1 0 0 36 48 64 -0.248790078811333
+24 0 1 0 0 38 48 64 -0.36314021329459
+24 0 1 0 0 40 48 64 -0.462293674349265
+24 0 1 0 0 42 48 64 -0.541643668811888
+24 0 1 0 0 44 48 64 -0.598233870292096
+24 0 1 0 0 46 48 64 -0.625512998220374
+24 0 1 0 0 48 48 64 -0.631296572979177
+24 0 1 0 0 50 48 64 -0.609616072683049
+24 0 1 0 0 52 48 64 -0.569049048803441
+24 0 1 0 0 54 48 64 -0.493381685067051
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -0.157045364880277
+24 0 0 0 0 4 48 64 0.108220298915116
+24 0 0 0 0 8 48 64 0.355308232251184
+24 0 0 0 0 12 48 64 0.540412989478295
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+24 0 0 0 0 24 48 64 0.474322355625836
+24 0 0 0 0 28 48 64 0.261933804968766
+24 0 0 0 0 32 48 64 0.00831040253642024
+24 0 0 0 0 36 48 64 -0.248790078811333
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+24 0 0 0 0 48 48 64 -0.631296572979177
+24 0 0 0 0 52 48 64 -0.569049048803441
+24 0 0 0 0 56 48 64 -0.395909862016148
+24 0 0 0 0 60 48 64 -0.157045364880277
+24 0 0 0 0 64 48 64 0.108220298915116
+24 0 0 0 0 68 48 64 0.355308232251184
+24 0 0 0 0 72 48 64 0.540412989478295
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vx.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vx.yl
new file mode 100644
index 000000000..ad9c0d698
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vx.yl
@@ -0,0 +1,1397 @@
+# HYDROTOY::vx y (vx)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0.50990135853555
+0 0 2 0 0 36 40 64 0.53583288072473
+0 0 2 0 0 36 41 64 0.559033921377622
+0 0 2 0 0 36 42 64 0.579386253309212
+0 0 2 0 0 36 43 64 0.596786165701149
+0 0 2 0 0 36 44 64 0.611144992588301
+0 0 2 0 0 36 45 64 0.622389564680188
+0 0 2 0 0 36 46 64 0.630462582214916
+0 0 2 0 0 36 47 64 0.635322906945629
+0 0 2 0 0 36 48 64 0.636945771771587
+0 0 2 0 0 36 49 64 0.635322906945629
+0 0 2 0 0 36 50 64 0.630462582214916
+0 0 2 0 0 36 51 64 0.622389564680188
+0 0 2 0 0 36 52 64 0.611144992588301
+0 0 2 0 0 36 53 64 0.596786165701149
+0 0 2 0 0 36 54 64 0.579386253309212
+0 0 2 0 0 36 55 64 0.559033921377622
+0 0 2 0 0 36 56 64 0.53583288072473
+0 0 2 0 0 36 57 64 0.50990135853555
+0 0 2 0 0 36 58 64 0.48137149590312
+0 0 2 0 0 36 59 64 0.450388674467787
+0 0 2 0 0 36 60 64 0.417110775585686
+0 0 2 0 0 36 61 64 0.381707375801544
+0 0 2 0 0 36 62 64 0.344358882725476
+0 0 2 0 0 36 63 64 0.305255615717156
+0 0 2 0 0 36 64 64 0.264596836061988
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 -2.93103742532793e-15
+0 0 1 0 0 36 28 64 0.0906468344985235
+0 0 1 0 0 36 30 64 0.179448360850545
+0 0 1 0 0 36 32 64 0.264596836061988
+0 0 1 0 0 36 34 64 0.344358882725476
+0 0 1 0 0 36 36 64 0.417110775585686
+0 0 1 0 0 36 38 64 0.481371495903121
+0 0 1 0 0 36 40 64 0.53583288072473
+0 0 1 0 0 36 42 64 0.579386253309212
+0 0 1 0 0 36 44 64 0.611144992588301
+0 0 1 0 0 36 46 64 0.630462582214916
+0 0 1 0 0 36 48 64 0.636945771771587
+0 0 1 0 0 36 50 64 0.630462582214916
+0 0 1 0 0 36 52 64 0.611144992588301
+0 0 1 0 0 36 54 64 0.579386253309212
+0 0 1 0 0 36 56 64 0.53583288072473
+0 0 1 0 0 36 58 64 0.48137149590312
+0 0 1 0 0 36 60 64 0.417110775585686
+0 0 1 0 0 36 62 64 0.344358882725476
+0 0 1 0 0 36 64 64 0.264596836061988
+0 0 1 0 0 36 66 64 0.179448360850545
+0 0 1 0 0 36 68 64 0.0906468344985234
+0 0 1 0 0 36 70 64 -3.07246779757962e-15
+0 0 1 0 0 36 72 64 -0.0906468344985296
+0 0 1 0 0 36 74 64 -0.17944836085055
+0 0 1 0 0 36 76 64 -0.264596836061994
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -0.611144992588299
+0 0 0 0 0 36 4 64 -0.636945771771587
+0 0 0 0 0 36 8 64 -0.611144992588303
+0 0 0 0 0 36 12 64 -0.535832880724733
+0 0 0 0 0 36 16 64 -0.417110775585691
+0 0 0 0 0 36 20 64 -0.264596836061994
+0 0 0 0 0 36 24 64 -0.0906468344985295
+0 0 0 0 0 36 28 64 0.0906468344985235
+0 0 0 0 0 36 32 64 0.264596836061988
+0 0 0 0 0 36 36 64 0.417110775585686
+0 0 0 0 0 36 40 64 0.53583288072473
+0 0 0 0 0 36 44 64 0.611144992588301
+0 0 0 0 0 36 48 64 0.636945771771587
+0 0 0 0 0 36 52 64 0.611144992588301
+0 0 0 0 0 36 56 64 0.53583288072473
+0 0 0 0 0 36 60 64 0.417110775585686
+0 0 0 0 0 36 64 64 0.264596836061988
+0 0 0 0 0 36 68 64 0.0906468344985234
+0 0 0 0 0 36 72 64 -0.0906468344985296
+0 0 0 0 0 36 76 64 -0.264596836061994
+0 0 0 0 0 36 80 64 -0.417110775585691
+0 0 0 0 0 36 84 64 -0.535832880724734
+0 0 0 0 0 36 88 64 -0.611144992588303
+0 0 0 0 0 36 92 64 -0.636945771771587
+0 0 0 0 0 36 96 64 -0.611144992588299
+0 0 0 0 0 36 100 64 -0.535832880724727
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 0.539378137384722
+1 0 2 0 0 36 40 64 0.562179038367364
+1 0 2 0 0 36 41 64 0.582199185263878
+1 0 2 0 0 36 42 64 0.599146755523157
+1 0 2 0 0 36 43 64 0.613041211253013
+1 0 2 0 0 36 44 64 0.62381174949194
+1 0 2 0 0 36 45 64 0.631403486045903
+1 0 2 0 0 36 46 64 0.635777735165602
+1 0 2 0 0 36 47 64 0.636912206680193
+1 0 2 0 0 36 48 64 0.63480111958288
+1 0 2 0 0 36 49 64 0.629455231489608
+1 0 2 0 0 36 50 64 0.620901783820711
+1 0 2 0 0 36 51 64 0.609184362984886
+1 0 2 0 0 36 52 64 0.594362678272839
+1 0 2 0 0 36 53 64 0.576512257592428
+1 0 2 0 0 36 54 64 0.555724062595757
+1 0 2 0 0 36 55 64 0.53210402515945
+1 0 2 0 0 36 56 64 0.505772507580086
+1 0 2 0 0 36 57 64 0.476863689235523
+1 0 2 0 0 36 58 64 0.445524882837553
+1 0 2 0 0 36 59 64 0.411915783760082
+1 0 2 0 0 36 60 64 0.376207656268115
+1 0 2 0 0 36 61 64 0.338582460794316
+1 0 2 0 0 36 62 64 0.299231926710351
+1 0 2 0 0 36 63 64 0.258589850269154
+1 0 2 0 0 36 64 64 0.216406253689122
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 0.565398002435612
+2 0 2 0 0 36 40 64 0.584893751491865
+2 0 2 0 0 36 41 64 0.60144151536923
+2 0 2 0 0 36 42 64 0.614864671252107
+2 0 2 0 0 36 43 64 0.625161142514521
+2 0 2 0 0 36 44 64 0.632270703059781
+2 0 2 0 0 36 45 64 0.636158357031659
+2 0 2 0 0 36 46 64 0.636804293836645
+2 0 2 0 0 36 47 64 0.634205221928842
+2 0 2 0 0 36 48 64 0.628374385582933
+2 0 2 0 0 36 49 64 0.619341497404389
+2 0 2 0 0 36 50 64 0.607152586920843
+2 0 2 0 0 36 51 64 0.591869766026173
+2 0 2 0 0 36 52 64 0.573570912472522
+2 0 2 0 0 36 53 64 0.552349273023126
+2 0 2 0 0 36 54 64 0.528312988288184
+2 0 2 0 0 36 55 64 0.501584541665097
+2 0 2 0 0 36 56 64 0.472300135191147
+2 0 2 0 0 36 57 64 0.44060899548914
+2 0 2 0 0 36 58 64 0.406672613342738
+2 0 2 0 0 36 59 64 0.370663920776444
+2 0 2 0 0 36 60 64 0.332766409833644
+2 0 2 0 0 36 61 64 0.293175756904635
+2 0 2 0 0 36 62 64 0.252095158941335
+2 0 2 0 0 36 63 64 0.209945081525125
+2 0 2 0 0 36 64 64 0.166508567416923
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 0.101958040479921
+2 0 1 0 0 36 28 64 0.19045190926366
+2 0 1 0 0 36 30 64 0.276801468550228
+2 0 1 0 0 36 32 64 0.355631693593013
+2 0 1 0 0 36 34 64 0.42722228291136
+2 0 1 0 0 36 36 64 0.490115858556959
+2 0 1 0 0 36 38 64 0.543032088699761
+2 0 1 0 0 36 40 64 0.584893751491865
+2 0 1 0 0 36 42 64 0.614864671252107
+2 0 1 0 0 36 44 64 0.632270703059781
+2 0 1 0 0 36 46 64 0.636804293836645
+2 0 1 0 0 36 48 64 0.628374385582933
+2 0 1 0 0 36 50 64 0.607152586920843
+2 0 1 0 0 36 52 64 0.573570912472522
+2 0 1 0 0 36 54 64 0.528312988288184
+2 0 1 0 0 36 56 64 0.472300135191147
+2 0 1 0 0 36 58 64 0.406672613342738
+2 0 1 0 0 36 60 64 0.332766409833644
+2 0 1 0 0 36 62 64 0.252095158941335
+2 0 1 0 0 36 64 64 0.166508567416923
+2 0 1 0 0 36 66 64 0.0773116620782785
+2 0 1 0 0 36 68 64 -0.0134590857518569
+2 0 1 0 0 36 70 64 -0.103955845408883
+2 0 1 0 0 36 72 64 -0.192336363837286
+2 0 1 0 0 36 74 64 -0.275010333503837
+2 0 1 0 0 36 76 64 -0.354054672129119
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0.587462116960227
+3 0 2 0 0 36 40 64 0.603541326410646
+3 0 2 0 0 36 41 64 0.616631672885353
+3 0 2 0 0 36 42 64 0.626432433484778
+3 0 2 0 0 36 43 64 0.633064413651825
+3 0 2 0 0 36 44 64 0.636464696504605
+3 0 2 0 0 36 45 64 0.636622049355199
+3 0 2 0 0 36 46 64 0.633535283643025
+3 0 2 0 0 36 47 64 0.627220167344685
+3 0 2 0 0 36 48 64 0.617708880845281
+3 0 2 0 0 36 49 64 0.605049891480632
+3 0 2 0 0 36 50 64 0.589307706558841
+3 0 2 0 0 36 51 64 0.570562544645838
+3 0 2 0 0 36 52 64 0.548909926789954
+3 0 2 0 0 36 53 64 0.524460189768562
+3 0 2 0 0 36 54 64 0.497337923837139
+3 0 2 0 0 36 55 64 0.467681337845893
+3 0 2 0 0 36 56 64 0.435641554959138
+3 0 2 0 0 36 57 64 0.40138184256629
+3 0 2 0 0 36 58 64 0.365076780308672
+3 0 2 0 0 36 59 64 0.326911450441731
+3 0 2 0 0 36 60 64 0.287080653705414
+3 0 2 0 0 36 61 64 0.245799002149099
+3 0 2 0 0 36 62 64 0.203265136979522
+3 0 2 0 0 36 63 64 0.160052956823864
+3 0 2 0 0 36 64 64 0.11577891465481
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0.605737107086903
+4 0 2 0 0 36 40 64 0.618266994352901
+4 0 2 0 0 36 41 64 0.627665055153521
+4 0 2 0 0 36 42 64 0.633771152144637
+4 0 2 0 0 36 43 64 0.63669815557565
+4 0 2 0 0 36 44 64 0.636365165213341
+4 0 2 0 0 36 45 64 0.632791398915848
+4 0 2 0 0 36 46 64 0.625992709893389
+4 0 2 0 0 36 47 64 0.616004120902327
+4 0 2 0 0 36 48 64 0.602876514907985
+4 0 2 0 0 36 49 64 0.586676788385331
+4 0 2 0 0 36 50 64 0.567487491427417
+4 0 2 0 0 36 51 64 0.545406408292959
+4 0 2 0 0 36 52 64 0.520546059120174
+4 0 2 0 0 36 53 64 0.493033126549944
+4 0 2 0 0 36 54 64 0.463007810180118
+4 0 2 0 0 36 55 64 0.4306231121405
+4 0 2 0 0 36 56 64 0.396044057429062
+4 0 2 0 0 36 57 64 0.359446855481761
+4 0 2 0 0 36 58 64 0.321018015768317
+4 0 2 0 0 36 59 64 0.280954104881963
+4 0 2 0 0 36 60 64 0.239459617669995
+4 0 2 0 0 36 61 64 0.196776087767296
+4 0 2 0 0 36 62 64 0.153077116399109
+4 0 2 0 0 36 63 64 0.108889333629815
+4 0 2 0 0 36 64 64 0.0639255829329775
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0.203336824400688
+4 0 1 0 0 36 28 64 0.287310844989877
+4 0 1 0 0 36 30 64 0.366814710346517
+4 0 1 0 0 36 32 64 0.437116971964769
+4 0 1 0 0 36 34 64 0.49863426960122
+4 0 1 0 0 36 36 64 0.54998022255102
+4 0 1 0 0 36 38 64 0.590130164181673
+4 0 1 0 0 36 40 64 0.618266994352901
+4 0 1 0 0 36 42 64 0.633771152144637
+4 0 1 0 0 36 44 64 0.636365165213341
+4 0 1 0 0 36 46 64 0.625992709893389
+4 0 1 0 0 36 48 64 0.602876514907985
+4 0 1 0 0 36 50 64 0.567487491427417
+4 0 1 0 0 36 52 64 0.520546059120174
+4 0 1 0 0 36 54 64 0.463007810180118
+4 0 1 0 0 36 56 64 0.396044057429062
+4 0 1 0 0 36 58 64 0.321018015768317
+4 0 1 0 0 36 60 64 0.239459617669995
+4 0 1 0 0 36 62 64 0.153077116399109
+4 0 1 0 0 36 64 64 0.0639255829329775
+4 0 1 0 0 36 66 64 -0.0269158286163637
+4 0 1 0 0 36 68 64 -0.117220277357043
+4 0 1 0 0 36 70 64 -0.205118972117534
+4 0 1 0 0 36 72 64 -0.288811734351734
+4 0 1 0 0 36 74 64 -0.365347955302905
+4 0 1 0 0 36 76 64 -0.436059668496852
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 -0.637195713383579
+4 0 0 0 0 36 4 64 -0.604381951846523
+4 0 0 0 0 36 8 64 -0.522604758968737
+4 0 0 0 0 36 12 64 -0.398489236569475
+4 0 0 0 0 36 16 64 -0.242090486130096
+4 0 0 0 0 36 20 64 -0.0660790042720144
+4 0 0 0 0 36 24 64 0.115285805525215
+4 0 0 0 0 36 28 64 0.287310844989877
+4 0 0 0 0 36 32 64 0.437116971964769
+4 0 0 0 0 36 36 64 0.54998022255102
+4 0 0 0 0 36 40 64 0.618266994352901
+4 0 0 0 0 36 44 64 0.636365165213341
+4 0 0 0 0 36 48 64 0.602876514907985
+4 0 0 0 0 36 52 64 0.520546059120174
+4 0 0 0 0 36 56 64 0.396044057429062
+4 0 0 0 0 36 60 64 0.239459617669995
+4 0 0 0 0 36 64 64 0.0639255829329775
+4 0 0 0 0 36 68 64 -0.117220277357043
+4 0 0 0 0 36 72 64 -0.288811734351734
+4 0 0 0 0 36 76 64 -0.436059668496852
+4 0 0 0 0 36 80 64 -0.54948153100891
+4 0 0 0 0 36 84 64 -0.618387667771118
+4 0 0 0 0 36 88 64 -0.637195713383579
+4 0 0 0 0 36 92 64 -0.604381951846523
+4 0 0 0 0 36 96 64 -0.522604758968737
+4 0 0 0 0 36 100 64 -0.398489236569475
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0.619815886877807
+5 0 2 0 0 36 40 64 0.628733178451717
+5 0 2 0 0 36 41 64 0.634468108110349
+5 0 2 0 0 36 42 64 0.636832586997563
+5 0 2 0 0 36 43 64 0.63603840841541
+5 0 2 0 0 36 44 64 0.631972289690598
+5 0 2 0 0 36 45 64 0.624692246671273
+5 0 2 0 0 36 46 64 0.614227386477732
+5 0 2 0 0 36 47 64 0.600632696295091
+5 0 2 0 0 36 48 64 0.583977300176662
+5 0 2 0 0 36 49 64 0.564346090139355
+5 0 2 0 0 36 50 64 0.541839101826738
+5 0 2 0 0 36 51 64 0.516571025574936
+5 0 2 0 0 36 52 64 0.488670621860938
+5 0 2 0 0 36 53 64 0.458280064597636
+5 0 2 0 0 36 54 64 0.425554217243752
+5 0 2 0 0 36 55 64 0.390659843153808
+5 0 2 0 0 36 56 64 0.353774757040274
+5 0 2 0 0 36 57 64 0.31508695672396
+5 0 2 0 0 36 58 64 0.274793655000646
+5 0 2 0 0 36 59 64 0.23310319538701
+5 0 2 0 0 36 60 64 0.190226123696334
+5 0 2 0 0 36 61 64 0.14644121790105
+5 0 2 0 0 36 62 64 0.101865930923136
+5 0 2 0 0 36 63 64 0.0571942942533359
+5 0 2 0 0 36 64 64 0.0119733841163162
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0.62983015082462
+6 0 2 0 0 36 40 64 0.635052404329397
+6 0 2 0 0 36 41 64 0.636993013804279
+6 0 2 0 0 36 42 64 0.635597608138749
+6 0 2 0 0 36 43 64 0.631090107030999
+6 0 2 0 0 36 44 64 0.623315071397883
+6 0 2 0 0 36 45 64 0.61237923790045
+6 0 2 0 0 36 46 64 0.598318506773418
+6 0 2 0 0 36 47 64 0.581209474837006
+6 0 2 0 0 36 48 64 0.561138616584436
+6 0 2 0 0 36 49 64 0.538208331099852
+6 0 2 0 0 36 50 64 0.51253545937864
+6 0 2 0 0 36 51 64 0.484250823489581
+6 0 2 0 0 36 52 64 0.45349855735856
+6 0 2 0 0 36 53 64 0.420435365601054
+6 0 2 0 0 36 54 64 0.385229732533422
+6 0 2 0 0 36 55 64 0.348061058150187
+6 0 2 0 0 36 56 64 0.30911875280769
+6 0 2 0 0 36 57 64 0.268601490505991
+6 0 2 0 0 36 58 64 0.226715774515568
+6 0 2 0 0 36 59 64 0.183683548543471
+6 0 2 0 0 36 60 64 0.139714220272255
+6 0 2 0 0 36 61 64 0.0951348641397391
+6 0 2 0 0 36 62 64 0.0499803034989445
+6 0 2 0 0 36 63 64 0.00490296041934368
+6 0 2 0 0 36 64 64 -0.0404192857501374
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0.297122722560746
+6 0 1 0 0 36 28 64 0.374509240180489
+6 0 1 0 0 36 30 64 0.447057640236956
+6 0 1 0 0 36 32 64 0.506827467675778
+6 0 1 0 0 36 34 64 0.556679618070835
+6 0 1 0 0 36 36 64 0.595093240342499
+6 0 1 0 0 36 38 64 0.621396256826992
+6 0 1 0 0 36 40 64 0.635052404329397
+6 0 1 0 0 36 42 64 0.635597608138749
+6 0 1 0 0 36 44 64 0.623315071397883
+6 0 1 0 0 36 46 64 0.598318506773418
+6 0 1 0 0 36 48 64 0.561138616584436
+6 0 1 0 0 36 50 64 0.51253545937864
+6 0 1 0 0 36 52 64 0.45349855735856
+6 0 1 0 0 36 54 64 0.385229732533422
+6 0 1 0 0 36 56 64 0.30911875280769
+6 0 1 0 0 36 58 64 0.226715774515568
+6 0 1 0 0 36 60 64 0.139714220272255
+6 0 1 0 0 36 62 64 0.0499803034989445
+6 0 1 0 0 36 64 64 -0.0404192857501374
+6 0 1 0 0 36 66 64 -0.130432939352435
+6 0 1 0 0 36 68 64 -0.217846161358475
+6 0 1 0 0 36 70 64 -0.300740709184171
+6 0 1 0 0 36 72 64 -0.377490025456466
+6 0 1 0 0 36 74 64 -0.4447927573626
+6 0 1 0 0 36 76 64 -0.504818975199184
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 0.635541814474585
+7 0 2 0 0 36 40 64 0.637053798547796
+7 0 2 0 0 36 41 64 0.635223978161289
+7 0 2 0 0 36 42 64 0.630077596779582
+7 0 2 0 0 36 43 64 0.621886805327677
+7 0 2 0 0 36 44 64 0.610451161735986
+7 0 2 0 0 36 45 64 0.59593532618713
+7 0 2 0 0 36 46 64 0.578372933786984
+7 0 2 0 0 36 47 64 0.557865167010414
+7 0 2 0 0 36 48 64 0.534514205498578
+7 0 2 0 0 36 49 64 0.50843952109643
+7 0 2 0 0 36 50 64 0.479773943603996
+7 0 2 0 0 36 51 64 0.448663542759907
+7 0 2 0 0 36 52 64 0.415266860888379
+7 0 2 0 0 36 53 64 0.379754068928494
+7 0 2 0 0 36 54 64 0.342306142992595
+7 0 2 0 0 36 55 64 0.303113914189935
+7 0 2 0 0 36 56 64 0.262377121022836
+7 0 2 0 0 36 57 64 0.220304222790979
+7 0 2 0 0 36 58 64 0.177109097416333
+7 0 2 0 0 36 59 64 0.133031046020747
+7 0 2 0 0 36 60 64 0.0882665547822213
+7 0 2 0 0 36 61 64 0.0432026363395562
+7 0 2 0 0 36 62 64 -0.0022353479909682
+7 0 2 0 0 36 63 64 -0.0472096268183642
+7 0 2 0 0 36 64 64 -0.0922066719540544
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 0.637022764443851
+8 0 2 0 0 36 40 64 0.634794318919629
+8 0 2 0 0 36 41 64 0.629170822834932
+8 0 2 0 0 36 42 64 0.620311944049419
+8 0 2 0 0 36 43 64 0.608490147074774
+8 0 2 0 0 36 44 64 0.593466497140219
+8 0 2 0 0 36 45 64 0.575470975692125
+8 0 2 0 0 36 46 64 0.554524225966198
+8 0 2 0 0 36 47 64 0.530756506050169
+8 0 2 0 0 36 48 64 0.504282895512788
+8 0 2 0 0 36 49 64 0.475239733596221
+8 0 2 0 0 36 50 64 0.443774844042711
+8 0 2 0 0 36 51 64 0.410048560301108
+8 0 2 0 0 36 52 64 0.374232784470004
+8 0 2 0 0 36 53 64 0.336509983863942
+8 0 2 0 0 36 54 64 0.297072428471587
+8 0 2 0 0 36 55 64 0.256121117456294
+8 0 2 0 0 36 56 64 0.213864765415619
+8 0 2 0 0 36 57 64 0.170521214655696
+8 0 2 0 0 36 58 64 0.126308742346096
+8 0 2 0 0 36 59 64 0.0814898989568597
+8 0 2 0 0 36 60 64 0.0362316531196102
+8 0 2 0 0 36 61 64 -0.00900841431808859
+8 0 2 0 0 36 62 64 -0.0544289428269975
+8 0 2 0 0 36 63 64 -0.0992283125152526
+8 0 2 0 0 36 64 64 -0.143737359399544
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0.385785774294104
+8 0 1 0 0 36 28 64 0.454285228667723
+8 0 1 0 0 36 30 64 0.515349182687446
+8 0 1 0 0 36 32 64 0.562872587840816
+8 0 1 0 0 36 34 64 0.599805067555074
+8 0 1 0 0 36 36 64 0.624236534857673
+8 0 1 0 0 36 38 64 0.635983763013118
+8 0 1 0 0 36 40 64 0.634794318919629
+8 0 1 0 0 36 42 64 0.620311944049419
+8 0 1 0 0 36 44 64 0.593466497140219
+8 0 1 0 0 36 46 64 0.554524225966198
+8 0 1 0 0 36 48 64 0.504282895512788
+8 0 1 0 0 36 50 64 0.443774844042711
+8 0 1 0 0 36 52 64 0.374232784470004
+8 0 1 0 0 36 54 64 0.297072428471587
+8 0 1 0 0 36 56 64 0.213864765415619
+8 0 1 0 0 36 58 64 0.126308742346096
+8 0 1 0 0 36 60 64 0.0362316531196102
+8 0 1 0 0 36 62 64 -0.0544289428269975
+8 0 1 0 0 36 64 64 -0.143737359399544
+8 0 1 0 0 36 66 64 -0.230450789159106
+8 0 1 0 0 36 68 64 -0.312628563905212
+8 0 1 0 0 36 70 64 -0.388236239019665
+8 0 1 0 0 36 72 64 -0.455985012315432
+8 0 1 0 0 36 74 64 -0.513778273598799
+8 0 1 0 0 36 76 64 -0.562263542224784
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 -0.59648290094983
+8 0 0 0 0 36 4 64 -0.508360375451156
+8 0 0 0 0 36 8 64 -0.379053515669004
+8 0 0 0 0 36 12 64 -0.2190379943654
+8 0 0 0 0 36 16 64 -0.0412773174274225
+8 0 0 0 0 36 20 64 0.139827402282866
+8 0 0 0 0 36 24 64 0.309604137445777
+8 0 0 0 0 36 28 64 0.454285228667723
+8 0 0 0 0 36 32 64 0.562872587840816
+8 0 0 0 0 36 36 64 0.624236534857673
+8 0 0 0 0 36 40 64 0.634794318919629
+8 0 0 0 0 36 44 64 0.593466497140219
+8 0 0 0 0 36 48 64 0.504282895512788
+8 0 0 0 0 36 52 64 0.374232784470004
+8 0 0 0 0 36 56 64 0.213864765415619
+8 0 0 0 0 36 60 64 0.0362316531196102
+8 0 0 0 0 36 64 64 -0.143737359399544
+8 0 0 0 0 36 68 64 -0.312628563905212
+8 0 0 0 0 36 72 64 -0.455985012315432
+8 0 0 0 0 36 76 64 -0.562263542224784
+8 0 0 0 0 36 80 64 -0.624533179725877
+8 0 0 0 0 36 84 64 -0.636281929233952
+8 0 0 0 0 36 88 64 -0.59648290094983
+8 0 0 0 0 36 92 64 -0.508360375451156
+8 0 0 0 0 36 96 64 -0.379053515669004
+8 0 0 0 0 36 100 64 -0.2190379943654
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 0.634209812828432
+9 0 2 0 0 36 40 64 0.628274918729509
+9 0 2 0 0 36 41 64 0.61887493262963
+9 0 2 0 0 36 42 64 0.606368956701179
+9 0 2 0 0 36 43 64 0.59098914383795
+9 0 2 0 0 36 44 64 0.572474620733552
+9 0 2 0 0 36 45 64 0.551123101534418
+9 0 2 0 0 36 46 64 0.526931468192858
+9 0 2 0 0 36 47 64 0.500064926280474
+9 0 2 0 0 36 48 64 0.470647115210927
+9 0 2 0 0 36 49 64 0.43883149642244
+9 0 2 0 0 36 50 64 0.404779625224306
+9 0 2 0 0 36 51 64 0.368665037535563
+9 0 2 0 0 36 52 64 0.3306718804883
+9 0 2 0 0 36 53 64 0.290993637198959
+9 0 2 0 0 36 54 64 0.249832627319507
+9 0 2 0 0 36 55 64 0.207398745216068
+9 0 2 0 0 36 56 64 0.163908182805421
+9 0 2 0 0 36 57 64 0.119588585038016
+9 0 2 0 0 36 58 64 0.074657858907391
+9 0 2 0 0 36 59 64 0.0294096955212991
+9 0 2 0 0 36 60 64 -0.0160389277239629
+9 0 2 0 0 36 61 64 -0.0611503732010811
+9 0 2 0 0 36 62 64 -0.106255188722756
+9 0 2 0 0 36 63 64 -0.150365657983652
+9 0 2 0 0 36 64 64 -0.193969842291678
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 0.627114116521662
+10 0 2 0 0 36 40 64 0.617495280215898
+10 0 2 0 0 36 41 64 0.6044021373935
+10 0 2 0 0 36 42 64 0.588343083867872
+10 0 2 0 0 36 43 64 0.569499345632583
+10 0 2 0 0 36 44 64 0.547615860102001
+10 0 2 0 0 36 45 64 0.523053863668176
+10 0 2 0 0 36 46 64 0.495778027533365
+10 0 2 0 0 36 47 64 0.465995130854847
+10 0 2 0 0 36 48 64 0.433831303041527
+10 0 2 0 0 36 49 64 0.39945809396702
+10 0 2 0 0 36 50 64 0.363049110752814
+10 0 2 0 0 36 51 64 0.32479000080591
+10 0 2 0 0 36 52 64 0.284875988971724
+10 0 2 0 0 36 53 64 0.24351017996565
+10 0 2 0 0 36 54 64 0.200903674654662
+10 0 2 0 0 36 55 64 0.157274067722605
+10 0 2 0 0 36 56 64 0.112843230668311
+10 0 2 0 0 36 57 64 0.0678502045955367
+10 0 2 0 0 36 58 64 0.02250519043084
+10 0 2 0 0 36 59 64 -0.0228575087096431
+10 0 2 0 0 36 60 64 -0.0681932870472046
+10 0 2 0 0 36 61 64 -0.112877327228559
+10 0 2 0 0 36 62 64 -0.157367969690047
+10 0 2 0 0 36 63 64 -0.200716059147744
+10 0 2 0 0 36 64 64 -0.243251289228765
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0.461982037492504
+10 0 1 0 0 36 28 64 0.520003487161111
+10 0 1 0 0 36 30 64 0.5698549298115
+10 0 1 0 0 36 32 64 0.603755785951431
+10 0 1 0 0 36 34 64 0.626858149242049
+10 0 1 0 0 36 36 64 0.636615967276566
+10 0 1 0 0 36 38 64 0.63349365000997
+10 0 1 0 0 36 40 64 0.617495280215898
+10 0 1 0 0 36 42 64 0.588343083867872
+10 0 1 0 0 36 44 64 0.547615860102001
+10 0 1 0 0 36 46 64 0.495778027533365
+10 0 1 0 0 36 48 64 0.433831303041527
+10 0 1 0 0 36 50 64 0.363049110752814
+10 0 1 0 0 36 52 64 0.284875988971724
+10 0 1 0 0 36 54 64 0.200903674654662
+10 0 1 0 0 36 56 64 0.112843230668311
+10 0 1 0 0 36 58 64 0.02250519043084
+10 0 1 0 0 36 60 64 -0.0681932870472046
+10 0 1 0 0 36 62 64 -0.157367969690047
+10 0 1 0 0 36 64 64 -0.243251289228765
+10 0 1 0 0 36 66 64 -0.324266855522901
+10 0 1 0 0 36 68 64 -0.399016282798785
+10 0 1 0 0 36 70 64 -0.465256872294347
+10 0 1 0 0 36 72 64 -0.522215657762104
+10 0 1 0 0 36 74 64 -0.567907294560717
+10 0 1 0 0 36 76 64 -0.603405764286277
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 0.615849546643938
+11 0 2 0 0 36 40 64 0.602628638793061
+11 0 2 0 0 36 41 64 0.585848400498483
+11 0 2 0 0 36 42 64 0.566356039852578
+11 0 2 0 0 36 43 64 0.544162040655804
+11 0 2 0 0 36 44 64 0.519056371659523
+11 0 2 0 0 36 45 64 0.491449458480274
+11 0 2 0 0 36 46 64 0.461270378135533
+11 0 2 0 0 36 47 64 0.428773684701065
+11 0 2 0 0 36 48 64 0.394080357695485
+11 0 2 0 0 36 49 64 0.357381917639525
+11 0 2 0 0 36 50 64 0.31886171816411
+11 0 2 0 0 36 51 64 0.278716483514466
+11 0 2 0 0 36 52 64 0.237151292814672
+11 0 2 0 0 36 53 64 0.194377375663291
+11 0 2 0 0 36 54 64 0.150613328574047
+11 0 2 0 0 36 55 64 0.106083472292893
+11 0 2 0 0 36 56 64 0.0610129850943412
+11 0 2 0 0 36 57 64 0.0156553768397236
+11 0 2 0 0 36 58 64 -0.0297973491570258
+11 0 2 0 0 36 59 64 -0.0749599192875811
+11 0 2 0 0 36 60 64 -0.119881814833069
+11 0 2 0 0 36 61 64 -0.16384554200693
+11 0 2 0 0 36 62 64 -0.207430100938029
+11 0 2 0 0 36 63 64 -0.249510956127024
+11 0 2 0 0 36 64 64 -0.290570727132891
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 0.600365589657947
+12 0 2 0 0 36 40 64 0.58361724932291
+12 0 2 0 0 36 41 64 0.563332660793948
+12 0 2 0 0 36 42 64 0.540554476893825
+12 0 2 0 0 36 43 64 0.515143570328633
+12 0 2 0 0 36 44 64 0.486987313516523
+12 0 2 0 0 36 45 64 0.456519066299318
+12 0 2 0 0 36 46 64 0.423637126413331
+12 0 2 0 0 36 47 64 0.388647762074525
+12 0 2 0 0 36 48 64 0.351658267237628
+12 0 2 0 0 36 49 64 0.312882991003019
+12 0 2 0 0 36 50 64 0.272511865172628
+12 0 2 0 0 36 51 64 0.230751846904073
+12 0 2 0 0 36 52 64 0.187816550685928
+12 0 2 0 0 36 53 64 0.143923776231565
+12 0 2 0 0 36 54 64 0.0992982808099042
+12 0 2 0 0 36 55 64 0.0541705637482062
+12 0 2 0 0 36 56 64 0.0087657515407526
+12 0 2 0 0 36 57 64 -0.036643435500451
+12 0 2 0 0 36 58 64 -0.0818970386343291
+12 0 2 0 0 36 59 64 -0.126548308225414
+12 0 2 0 0 36 60 64 -0.17075953632946
+12 0 2 0 0 36 61 64 -0.213715859869445
+12 0 2 0 0 36 62 64 -0.256110314666263
+12 0 2 0 0 36 63 64 -0.296833350876319
+12 0 2 0 0 36 64 64 -0.336265147030029
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0.528170976179098
+12 0 1 0 0 36 28 64 0.573875790090809
+12 0 1 0 0 36 30 64 0.609087287276532
+12 0 1 0 0 36 32 64 0.628402642711963
+12 0 1 0 0 36 34 64 0.637116109241284
+12 0 1 0 0 36 36 64 0.631884907893327
+12 0 1 0 0 36 38 64 0.61398839170146
+12 0 1 0 0 36 40 64 0.58361724932291
+12 0 1 0 0 36 42 64 0.540554476893825
+12 0 1 0 0 36 44 64 0.486987313516523
+12 0 1 0 0 36 46 64 0.423637126413331
+12 0 1 0 0 36 48 64 0.351658267237628
+12 0 1 0 0 36 50 64 0.272511865172628
+12 0 1 0 0 36 52 64 0.187816550685928
+12 0 1 0 0 36 54 64 0.0992982808099042
+12 0 1 0 0 36 56 64 0.0087657515407526
+12 0 1 0 0 36 58 64 -0.0818970386343291
+12 0 1 0 0 36 60 64 -0.17075953632946
+12 0 1 0 0 36 62 64 -0.256110314666263
+12 0 1 0 0 36 64 64 -0.336265147030029
+12 0 1 0 0 36 66 64 -0.40933948294002
+12 0 1 0 0 36 68 64 -0.47468527241232
+12 0 1 0 0 36 70 64 -0.529752353702159
+12 0 1 0 0 36 72 64 -0.574440164216586
+12 0 1 0 0 36 74 64 -0.608058813284539
+12 0 1 0 0 36 76 64 -0.629908176479455
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 -0.493113583217527
+12 0 0 0 0 36 4 64 -0.358814710696291
+12 0 0 0 0 36 8 64 -0.195446804267703
+12 0 0 0 0 36 12 64 -0.0162449601242362
+12 0 0 0 0 36 16 64 0.164272954075997
+12 0 0 0 0 36 20 64 0.331482033068
+12 0 0 0 0 36 24 64 0.471798630517263
+12 0 0 0 0 36 28 64 0.573875790090809
+12 0 0 0 0 36 32 64 0.628402642711963
+12 0 0 0 0 36 36 64 0.631884907893327
+12 0 0 0 0 36 40 64 0.58361724932291
+12 0 0 0 0 36 44 64 0.486987313516523
+12 0 0 0 0 36 48 64 0.351658267237628
+12 0 0 0 0 36 52 64 0.187816550685928
+12 0 0 0 0 36 56 64 0.0087657515407526
+12 0 0 0 0 36 60 64 -0.17075953632946
+12 0 0 0 0 36 64 64 -0.336265147030029
+12 0 0 0 0 36 68 64 -0.47468527241232
+12 0 0 0 0 36 72 64 -0.574440164216586
+12 0 0 0 0 36 76 64 -0.629908176479455
+12 0 0 0 0 36 80 64 -0.634176468120291
+12 0 0 0 0 36 84 64 -0.587465672010459
+12 0 0 0 0 36 88 64 -0.493113583217527
+12 0 0 0 0 36 92 64 -0.358814710696291
+12 0 0 0 0 36 96 64 -0.195446804267703
+12 0 0 0 0 36 100 64 -0.0162449601242362
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 0.580953045201843
+13 0 2 0 0 36 40 64 0.560802428381677
+13 0 2 0 0 36 41 64 0.537002593720358
+13 0 2 0 0 36 42 64 0.511111583972052
+13 0 2 0 0 36 43 64 0.48263482790769
+13 0 2 0 0 36 44 64 0.451624142138562
+13 0 2 0 0 36 45 64 0.418494043735675
+13 0 2 0 0 36 46 64 0.383128305709754
+13 0 2 0 0 36 47 64 0.345884123147333
+13 0 2 0 0 36 48 64 0.306846999516293
+13 0 2 0 0 36 49 64 0.266257736440141
+13 0 2 0 0 36 50 64 0.224308609795664
+13 0 2 0 0 36 51 64 0.181216337126694
+13 0 2 0 0 36 52 64 0.137201557979924
+13 0 2 0 0 36 53 64 0.0924871313922945
+13 0 2 0 0 36 54 64 0.0473024872422594
+13 0 2 0 0 36 55 64 0.00188444929115118
+13 0 2 0 0 36 56 64 -0.043546770919112
+13 0 2 0 0 36 57 64 -0.0886928049973438
+13 0 2 0 0 36 58 64 -0.13344262948099
+13 0 2 0 0 36 59 64 -0.177277904039775
+13 0 2 0 0 36 60 64 -0.220488347964984
+13 0 2 0 0 36 61 64 -0.262153788488394
+13 0 2 0 0 36 62 64 -0.303087957142435
+13 0 2 0 0 36 63 64 -0.341985198409177
+13 0 2 0 0 36 64 64 -0.379381845443558
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 0.5574971416694
+14 0 2 0 0 36 40 64 0.534070403777286
+14 0 2 0 0 36 41 64 0.507028017561941
+14 0 2 0 0 36 42 64 0.478225029465731
+14 0 2 0 0 36 43 64 0.446850871657929
+14 0 2 0 0 36 44 64 0.413206133200578
+14 0 2 0 0 36 45 64 0.377627357728318
+14 0 2 0 0 36 46 64 0.340014907998268
+14 0 2 0 0 36 47 64 0.300768298570231
+14 0 2 0 0 36 48 64 0.259945639810918
+14 0 2 0 0 36 49 64 0.217817953094562
+14 0 2 0 0 36 50 64 0.17457449430838
+14 0 2 0 0 36 51 64 0.130441843886416
+14 0 2 0 0 36 52 64 0.0856457963832284
+14 0 2 0 0 36 53 64 0.0404129868425929
+14 0 2 0 0 36 54 64 -0.00502433368010441
+14 0 2 0 0 36 55 64 -0.0504218685036027
+14 0 2 0 0 36 56 64 -0.0955712494437229
+14 0 2 0 0 36 57 64 -0.140140462027633
+14 0 2 0 0 36 58 64 -0.184086593731865
+14 0 2 0 0 36 59 64 -0.22680985613064
+14 0 2 0 0 36 60 64 -0.268738951445579
+14 0 2 0 0 36 61 64 -0.308832890630447
+14 0 2 0 0 36 62 64 -0.348052979592333
+14 0 2 0 0 36 63 64 -0.384990370168563
+14 0 2 0 0 36 64 64 -0.42023839019902
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0.578671141408102
+14 0 1 0 0 36 28 64 0.611120922399807
+14 0 1 0 0 36 30 64 0.632012915382089
+14 0 1 0 0 36 32 64 0.636200723451974
+14 0 1 0 0 36 34 64 0.630303783692811
+14 0 1 0 0 36 36 64 0.610157138657849
+14 0 1 0 0 36 38 64 0.57799423657427
+14 0 1 0 0 36 40 64 0.534070403777286
+14 0 1 0 0 36 42 64 0.478225029465731
+14 0 1 0 0 36 44 64 0.413206133200578
+14 0 1 0 0 36 46 64 0.340014907998268
+14 0 1 0 0 36 48 64 0.259945639810918
+14 0 1 0 0 36 50 64 0.17457449430838
+14 0 1 0 0 36 52 64 0.0856457963832284
+14 0 1 0 0 36 54 64 -0.00502433368010441
+14 0 1 0 0 36 56 64 -0.0955712494437229
+14 0 1 0 0 36 58 64 -0.184086593731865
+14 0 1 0 0 36 60 64 -0.268738951445579
+14 0 1 0 0 36 62 64 -0.348052979592333
+14 0 1 0 0 36 64 64 -0.42023839019902
+14 0 1 0 0 36 66 64 -0.483360644461239
+14 0 1 0 0 36 68 64 -0.537602528094023
+14 0 1 0 0 36 70 64 -0.580025497545688
+14 0 1 0 0 36 72 64 -0.611286050331741
+14 0 1 0 0 36 74 64 -0.631170582456802
+14 0 1 0 0 36 76 64 -0.639028110080958
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 0.530463812429352
+15 0 2 0 0 36 40 64 0.503921835127714
+15 0 2 0 0 36 41 64 0.47360683512477
+15 0 2 0 0 36 42 64 0.442118233521132
+15 0 2 0 0 36 43 64 0.408030533616459
+15 0 2 0 0 36 44 64 0.37199583569295
+15 0 2 0 0 36 45 64 0.334193107741609
+15 0 2 0 0 36 46 64 0.294588489791101
+15 0 2 0 0 36 47 64 0.253603841719069
+15 0 2 0 0 36 48 64 0.211269641245549
+15 0 2 0 0 36 49 64 0.167889858589419
+15 0 2 0 0 36 50 64 0.123644452664183
+15 0 2 0 0 36 51 64 0.0787707167900749
+15 0 2 0 0 36 52 64 0.0334971284255998
+15 0 2 0 0 36 53 64 -0.0119466770279073
+15 0 2 0 0 36 54 64 -0.0573281848714071
+15 0 2 0 0 36 55 64 -0.102393152474453
+15 0 2 0 0 36 56 64 -0.146954559620603
+15 0 2 0 0 36 57 64 -0.19063740702926
+15 0 2 0 0 36 58 64 -0.233487421552762
+15 0 2 0 0 36 59 64 -0.274812612442646
+15 0 2 0 0 36 60 64 -0.315192585072238
+15 0 2 0 0 36 61 64 -0.353435008334149
+15 0 2 0 0 36 62 64 -0.390706873443907
+15 0 2 0 0 36 63 64 -0.425303597116819
+15 0 2 0 0 36 64 64 -0.457969722054716
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 0.499670454273888
+16 0 2 0 0 36 40 64 0.470189835893635
+16 0 2 0 0 36 41 64 0.436959170255019
+16 0 2 0 0 36 42 64 0.403037561893438
+16 0 2 0 0 36 43 64 0.366435777111905
+16 0 2 0 0 36 44 64 0.328278218480088
+16 0 2 0 0 36 45 64 0.288485869409555
+16 0 2 0 0 36 46 64 0.247160562452306
+16 0 2 0 0 36 47 64 0.204711400290713
+16 0 2 0 0 36 48 64 0.161149945420153
+16 0 2 0 0 36 49 64 0.116812947371776
+16 0 2 0 0 36 50 64 0.0718645498378625
+16 0 2 0 0 36 51 64 0.0265544063829075
+16 0 2 0 0 36 52 64 -0.018889688925216
+16 0 2 0 0 36 53 64 -0.0642349950966005
+16 0 2 0 0 36 54 64 -0.109252480974133
+16 0 2 0 0 36 55 64 -0.153673859611725
+16 0 2 0 0 36 56 64 -0.197345915515742
+16 0 2 0 0 36 57 64 -0.239840122221483
+16 0 2 0 0 36 58 64 -0.281312051875033
+16 0 2 0 0 36 59 64 -0.320963369350937
+16 0 2 0 0 36 60 64 -0.359542400185396
+16 0 2 0 0 36 61 64 -0.395655569898129
+16 0 2 0 0 36 62 64 -0.43076317179995
+16 0 2 0 0 36 63 64 -0.462812586951206
+16 0 2 0 0 36 64 64 -0.492864194091212
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0.615314578062058
+16 0 1 0 0 36 28 64 0.63333262244044
+16 0 1 0 0 36 30 64 0.638000771104766
+16 0 1 0 0 36 32 64 0.626988968023521
+16 0 1 0 0 36 34 64 0.606601429974022
+16 0 1 0 0 36 36 64 0.572009396606785
+16 0 1 0 0 36 38 64 0.526490900126276
+16 0 1 0 0 36 40 64 0.470189835893635
+16 0 1 0 0 36 42 64 0.403037561893438
+16 0 1 0 0 36 44 64 0.328278218480088
+16 0 1 0 0 36 46 64 0.247160562452306
+16 0 1 0 0 36 48 64 0.161149945420153
+16 0 1 0 0 36 50 64 0.0718645498378625
+16 0 1 0 0 36 52 64 -0.018889688925216
+16 0 1 0 0 36 54 64 -0.109252480974133
+16 0 1 0 0 36 56 64 -0.197345915515742
+16 0 1 0 0 36 58 64 -0.281312051875033
+16 0 1 0 0 36 60 64 -0.359542400185396
+16 0 1 0 0 36 62 64 -0.43076317179995
+16 0 1 0 0 36 64 64 -0.492864194091212
+16 0 1 0 0 36 66 64 -0.544324864652718
+16 0 1 0 0 36 68 64 -0.58607954732067
+16 0 1 0 0 36 70 64 -0.614765785117694
+16 0 1 0 0 36 72 64 -0.631826650591296
+16 0 1 0 0 36 74 64 -0.638234788485644
+16 0 1 0 0 36 76 64 -0.631679787998572
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 -0.337794414256765
+16 0 0 0 0 36 4 64 -0.171335037756763
+16 0 0 0 0 36 8 64 0.00900705762306821
+16 0 0 0 0 36 12 64 0.188619368399998
+16 0 0 0 0 36 16 64 0.352949099750753
+16 0 0 0 0 36 20 64 0.488682975250394
+16 0 0 0 0 36 24 64 0.584634703740848
+16 0 0 0 0 36 28 64 0.63333262244044
+16 0 0 0 0 36 32 64 0.626988968023521
+16 0 0 0 0 36 36 64 0.572009396606785
+16 0 0 0 0 36 40 64 0.470189835893635
+16 0 0 0 0 36 44 64 0.328278218480088
+16 0 0 0 0 36 48 64 0.161149945420153
+16 0 0 0 0 36 52 64 -0.018889688925216
+16 0 0 0 0 36 56 64 -0.197345915515742
+16 0 0 0 0 36 60 64 -0.359542400185396
+16 0 0 0 0 36 64 64 -0.492864194091212
+16 0 0 0 0 36 68 64 -0.58607954732067
+16 0 0 0 0 36 72 64 -0.631826650591296
+16 0 0 0 0 36 76 64 -0.631679787998572
+16 0 0 0 0 36 80 64 -0.577133612149914
+16 0 0 0 0 36 84 64 -0.476912575527702
+16 0 0 0 0 36 88 64 -0.337794414256765
+16 0 0 0 0 36 92 64 -0.171335037756763
+16 0 0 0 0 36 96 64 0.00900705762306821
+16 0 0 0 0 36 100 64 0.188619368399998
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 0.465752069015395
+17 0 2 0 0 36 40 64 0.433521306654
+17 0 2 0 0 36 41 64 0.397332792577396
+17 0 2 0 0 36 42 64 0.361252194866121
+17 0 2 0 0 36 43 64 0.322350594806953
+17 0 2 0 0 36 44 64 0.282358975062391
+17 0 2 0 0 36 45 64 0.240819503566002
+17 0 2 0 0 36 46 64 0.198061381309495
+17 0 2 0 0 36 47 64 0.154427292664371
+17 0 2 0 0 36 48 64 0.109931662990679
+17 0 2 0 0 36 49 64 0.0649383649317441
+17 0 2 0 0 36 50 64 0.0195902757954509
+17 0 2 0 0 36 51 64 -0.0258483470298666
+17 0 2 0 0 36 52 64 -0.0711549344276928
+17 0 2 0 0 36 53 64 -0.116092220019037
+17 0 2 0 0 36 54 64 -0.16044019744405
+17 0 2 0 0 36 55 64 -0.203910554373971
+17 0 2 0 0 36 56 64 -0.246399486247402
+17 0 2 0 0 36 57 64 -0.287413014561233
+17 0 2 0 0 36 58 64 -0.327238453376753
+17 0 2 0 0 36 59 64 -0.364950040589371
+17 0 2 0 0 36 60 64 -0.401494478721862
+17 0 2 0 0 36 61 64 -0.435203752388479
+17 0 2 0 0 36 62 64 -0.467948754604053
+17 0 2 0 0 36 63 64 -0.497218049087666
+17 0 2 0 0 36 64 64 -0.52417409581236
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 0.428458050727856
+18 0 2 0 0 36 40 64 0.393700613882491
+18 0 2 0 0 36 41 64 0.354997471616255
+18 0 2 0 0 36 42 64 0.317049998714123
+18 0 2 0 0 36 43 64 0.276079210273221
+18 0 2 0 0 36 44 64 0.234561719555569
+18 0 2 0 0 36 45 64 0.191525105355172
+18 0 2 0 0 36 46 64 0.147637728437608
+18 0 2 0 0 36 47 64 0.10310128429322
+18 0 2 0 0 36 48 64 0.0579720073070356
+18 0 2 0 0 36 49 64 0.0126265217393255
+18 0 2 0 0 36 50 64 -0.0328158535458172
+18 0 2 0 0 36 51 64 -0.0780740225864195
+18 0 2 0 0 36 52 64 -0.122936522725971
+18 0 2 0 0 36 53 64 -0.167158401746077
+18 0 2 0 0 36 54 64 -0.210536686582854
+18 0 2 0 0 36 55 64 -0.252754956647743
+18 0 2 0 0 36 56 64 -0.29377761144696
+18 0 2 0 0 36 57 64 -0.333031193382851
+18 0 2 0 0 36 58 64 -0.370958258674203
+18 0 2 0 0 36 59 64 -0.406473689829667
+18 0 2 0 0 36 60 64 -0.440768613412204
+18 0 2 0 0 36 61 64 -0.471808534526938
+18 0 2 0 0 36 62 64 -0.502003142943992
+18 0 2 0 0 36 63 64 -0.528203309298804
+18 0 2 0 0 36 64 64 -0.552148664050208
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 0.634683844838822
+18 0 1 0 0 36 28 64 0.638105385802741
+18 0 1 0 0 36 30 64 0.626926984313934
+18 0 1 0 0 36 32 64 0.60107583830621
+18 0 1 0 0 36 34 64 0.566642029129093
+18 0 1 0 0 36 36 64 0.518470969827824
+18 0 1 0 0 36 38 64 0.460886935744533
+18 0 1 0 0 36 40 64 0.393700613882491
+18 0 1 0 0 36 42 64 0.317049998714123
+18 0 1 0 0 36 44 64 0.234561719555569
+18 0 1 0 0 36 46 64 0.147637728437608
+18 0 1 0 0 36 48 64 0.0579720073070356
+18 0 1 0 0 36 50 64 -0.0328158535458172
+18 0 1 0 0 36 52 64 -0.122936522725971
+18 0 1 0 0 36 54 64 -0.210536686582854
+18 0 1 0 0 36 56 64 -0.29377761144696
+18 0 1 0 0 36 58 64 -0.370958258674203
+18 0 1 0 0 36 60 64 -0.440768613412204
+18 0 1 0 0 36 62 64 -0.502003142943992
+18 0 1 0 0 36 64 64 -0.552148664050208
+18 0 1 0 0 36 66 64 -0.590590661676418
+18 0 1 0 0 36 68 64 -0.618816839765151
+18 0 1 0 0 36 70 64 -0.633086346706732
+18 0 1 0 0 36 72 64 -0.635525051359897
+18 0 1 0 0 36 74 64 -0.627907768288701
+18 0 1 0 0 36 76 64 -0.607655959009872
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 0.388576802839474
+19 0 2 0 0 36 40 64 0.35150354392877
+19 0 2 0 0 36 41 64 0.310248364482914
+19 0 2 0 0 36 42 64 0.270735958461872
+19 0 2 0 0 36 43 64 0.227943525658183
+19 0 2 0 0 36 44 64 0.18522385041631
+19 0 2 0 0 36 45 64 0.140947878962754
+19 0 2 0 0 36 46 64 0.0962493675233065
+19 0 2 0 0 36 47 64 0.0510933556081787
+19 0 2 0 0 36 48 64 0.00563725261128618
+19 0 2 0 0 36 49 64 -0.0397562238352576
+19 0 2 0 0 36 50 64 -0.0849875313762416
+19 0 2 0 0 36 51 64 -0.129757666221702
+19 0 2 0 0 36 52 64 -0.173873393061938
+19 0 2 0 0 36 53 64 -0.217076857875212
+19 0 2 0 0 36 54 64 -0.259193254987489
+19 0 2 0 0 36 55 64 -0.299867649372625
+19 0 2 0 0 36 56 64 -0.339154570456421
+19 0 2 0 0 36 57 64 -0.376383598724357
+19 0 2 0 0 36 58 64 -0.412179245708158
+19 0 2 0 0 36 59 64 -0.445251510794425
+19 0 2 0 0 36 60 64 -0.477098981850743
+19 0 2 0 0 36 61 64 -0.505218579291678
+19 0 2 0 0 36 62 64 -0.532684642911239
+19 0 2 0 0 36 63 64 -0.55576384792341
+19 0 2 0 0 36 64 64 -0.576184173677959
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 0.345798095010917
+20 0 2 0 0 36 40 64 0.306671501342951
+20 0 2 0 0 36 41 64 0.263399635887557
+20 0 2 0 0 36 42 64 0.222627439139806
+20 0 2 0 0 36 43 64 0.178279795648154
+20 0 2 0 0 36 44 64 0.134691407083801
+20 0 2 0 0 36 45 64 0.0894429574096636
+20 0 2 0 0 36 46 64 0.0442640627302038
+20 0 2 0 0 36 47 64 -0.00123056428660078
+20 0 2 0 0 36 48 64 -0.0467013601747625
+20 0 2 0 0 36 49 64 -0.0918418043018431
+20 0 2 0 0 36 50 64 -0.136558703578935
+20 0 2 0 0 36 51 64 -0.180537043585014
+20 0 2 0 0 36 52 64 -0.223609634823214
+20 0 2 0 0 36 53 64 -0.2654983758581
+20 0 2 0 0 36 54 64 -0.306071419927379
+20 0 2 0 0 36 55 64 -0.34492230037356
+20 0 2 0 0 36 56 64 -0.382220652384781
+20 0 2 0 0 36 57 64 -0.417176348781705
+20 0 2 0 0 36 58 64 -0.450627402502857
+20 0 2 0 0 36 59 64 -0.481019882722765
+20 0 2 0 0 36 60 64 -0.510235224934435
+20 0 2 0 0 36 61 64 -0.535206596622855
+20 0 2 0 0 36 62 64 -0.559768691496586
+20 0 2 0 0 36 63 64 -0.579385617400496
+20 0 2 0 0 36 64 64 -0.596481866404545
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 0.637802360310747
+20 0 1 0 0 36 28 64 0.626241047290031
+20 0 1 0 0 36 30 64 0.599078418668939
+20 0 1 0 0 36 32 64 0.559197234894141
+20 0 1 0 0 36 34 64 0.511498303814464
+20 0 1 0 0 36 36 64 0.451000620225603
+20 0 1 0 0 36 38 64 0.382978999656182
+20 0 1 0 0 36 40 64 0.306671501342951
+20 0 1 0 0 36 42 64 0.222627439139806
+20 0 1 0 0 36 44 64 0.134691407083801
+20 0 1 0 0 36 46 64 0.0442640627302038
+20 0 1 0 0 36 48 64 -0.0467013601747625
+20 0 1 0 0 36 50 64 -0.136558703578935
+20 0 1 0 0 36 52 64 -0.223609634823214
+20 0 1 0 0 36 54 64 -0.306071419927379
+20 0 1 0 0 36 56 64 -0.382220652384781
+20 0 1 0 0 36 58 64 -0.450627402502857
+20 0 1 0 0 36 60 64 -0.510235224934435
+20 0 1 0 0 36 62 64 -0.559768691496586
+20 0 1 0 0 36 64 64 -0.596481866404545
+20 0 1 0 0 36 66 64 -0.62093072533294
+20 0 1 0 0 36 68 64 -0.634938259581221
+20 0 1 0 0 36 70 64 -0.634527906156
+20 0 1 0 0 36 72 64 -0.622347630391839
+20 0 1 0 0 36 74 64 -0.601091644576168
+20 0 1 0 0 36 76 64 -0.567025706855666
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 -0.14671730263796
+20 0 0 0 0 36 4 64 0.0344564120745607
+20 0 0 0 0 36 8 64 0.212856332547802
+20 0 0 0 0 36 12 64 0.374010450512215
+20 0 0 0 0 36 16 64 0.504851038756511
+20 0 0 0 0 36 20 64 0.594792863110573
+20 0 0 0 0 36 24 64 0.636004215315861
+20 0 0 0 0 36 28 64 0.626241047290031
+20 0 0 0 0 36 32 64 0.559197234894141
+20 0 0 0 0 36 36 64 0.451000620225603
+20 0 0 0 0 36 40 64 0.306671501342951
+20 0 0 0 0 36 44 64 0.134691407083801
+20 0 0 0 0 36 48 64 -0.0467013601747625
+20 0 0 0 0 36 52 64 -0.223609634823214
+20 0 0 0 0 36 56 64 -0.382220652384781
+20 0 0 0 0 36 60 64 -0.510235224934435
+20 0 0 0 0 36 64 64 -0.596481866404545
+20 0 0 0 0 36 68 64 -0.634938259581221
+20 0 0 0 0 36 72 64 -0.622347630391839
+20 0 0 0 0 36 76 64 -0.567025706855666
+20 0 0 0 0 36 80 64 -0.459118066564387
+20 0 0 0 0 36 84 64 -0.316110453209494
+20 0 0 0 0 36 88 64 -0.14671730263796
+20 0 0 0 0 36 92 64 0.0344564120745607
+20 0 0 0 0 36 96 64 0.212856332547802
+20 0 0 0 0 36 100 64 0.374010450512215
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 0.301035368847648
+21 0 2 0 0 36 40 64 0.260087541303959
+21 0 2 0 0 36 41 64 0.214784508774168
+21 0 2 0 0 36 42 64 0.173052231181496
+21 0 2 0 0 36 43 64 0.127434741477095
+21 0 2 0 0 36 44 64 0.0833134611237447
+21 0 2 0 0 36 45 64 0.0373704417251504
+21 0 2 0 0 36 46 64 -0.00794862303432576
+21 0 2 0 0 36 47 64 -0.0535036888006757
+21 0 2 0 0 36 48 64 -0.0986726523738491
+21 0 2 0 0 36 49 64 -0.143265380497755
+21 0 2 0 0 36 50 64 -0.187168200674553
+21 0 2 0 0 36 51 64 -0.230057367831065
+21 0 2 0 0 36 52 64 -0.271799106771777
+21 0 2 0 0 36 53 64 -0.312085894975051
+21 0 2 0 0 36 54 64 -0.350847560640884
+21 0 2 0 0 36 55 64 -0.387610076636599
+21 0 2 0 0 36 56 64 -0.422686078084558
+21 0 2 0 0 36 57 64 -0.455136012042462
+21 0 2 0 0 36 58 64 -0.486048365467856
+21 0 2 0 0 36 59 64 -0.513537156281641
+21 0 2 0 0 36 60 64 -0.539944237010045
+21 0 2 0 0 36 61 64 -0.561569558556984
+21 0 2 0 0 36 62 64 -0.583058432451218
+21 0 2 0 0 36 63 64 -0.599310902678108
+21 0 2 0 0 36 64 64 -0.612601267499718
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 0.253936156100823
+22 0 2 0 0 36 40 64 0.211457312085487
+22 0 2 0 0 36 41 64 0.164747736164364
+22 0 2 0 0 36 42 64 0.122344435256662
+22 0 2 0 0 36 43 64 0.0757613209685022
+22 0 2 0 0 36 44 64 0.031437007742338
+22 0 2 0 0 36 45 64 -0.014909809933721
+22 0 2 0 0 36 46 64 -0.0600241466229041
+22 0 2 0 0 36 47 64 -0.105363836379122
+22 0 2 0 0 36 48 64 -0.149911142137151
+22 0 2 0 0 36 49 64 -0.193670549162033
+22 0 2 0 0 36 50 64 -0.236464565564238
+22 0 2 0 0 36 51 64 -0.277976188917312
+22 0 2 0 0 36 52 64 -0.318110133363028
+22 0 2 0 0 36 53 64 -0.356519241625998
+22 0 2 0 0 36 54 64 -0.393217492798618
+22 0 2 0 0 36 55 64 -0.427643781536489
+22 0 2 0 0 36 56 64 -0.460284204960203
+22 0 2 0 0 36 57 64 -0.490012373576831
+22 0 2 0 0 36 58 64 -0.518208196967455
+22 0 2 0 0 36 59 64 -0.542585715506797
+22 0 2 0 0 36 60 64 -0.566013033747162
+22 0 2 0 0 36 61 64 -0.584130006050456
+22 0 2 0 0 36 62 64 -0.602383952724383
+22 0 2 0 0 36 63 64 -0.614943085533337
+22 0 2 0 0 36 64 64 -0.624689201873562
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 0.623888581936971
+22 0 1 0 0 36 28 64 0.597977531134408
+22 0 1 0 0 36 30 64 0.555243925808794
+22 0 1 0 0 36 32 64 0.502517824091814
+22 0 1 0 0 36 34 64 0.442658439319717
+22 0 1 0 0 36 36 64 0.371448433940019
+22 0 1 0 0 36 38 64 0.294895163915066
+22 0 1 0 0 36 40 64 0.211457312085487
+22 0 1 0 0 36 42 64 0.122344435256662
+22 0 1 0 0 36 44 64 0.031437007742338
+22 0 1 0 0 36 46 64 -0.0600241466229041
+22 0 1 0 0 36 48 64 -0.149911142137151
+22 0 1 0 0 36 50 64 -0.236464565564238
+22 0 1 0 0 36 52 64 -0.318110133363028
+22 0 1 0 0 36 54 64 -0.393217492798618
+22 0 1 0 0 36 56 64 -0.460284204960203
+22 0 1 0 0 36 58 64 -0.518208196967455
+22 0 1 0 0 36 60 64 -0.566013033747162
+22 0 1 0 0 36 62 64 -0.602383952724383
+22 0 1 0 0 36 64 64 -0.624689201873562
+22 0 1 0 0 36 66 64 -0.634565225308887
+22 0 1 0 0 36 68 64 -0.634017627703373
+22 0 1 0 0 36 70 64 -0.619082282644098
+22 0 1 0 0 36 72 64 -0.592632670491392
+22 0 1 0 0 36 74 64 -0.558381869831187
+22 0 1 0 0 36 76 64 -0.51216106437629
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 0.20550147368881
+23 0 2 0 0 36 40 64 0.161745529865327
+23 0 2 0 0 36 41 64 0.113642738359054
+23 0 2 0 0 36 42 64 0.0708430211332968
+23 0 2 0 0 36 43 64 0.023614534702693
+23 0 2 0 0 36 44 64 -0.020596797438725
+23 0 2 0 0 36 45 64 -0.0670429803258274
+23 0 2 0 0 36 46 64 -0.111609469776253
+23 0 2 0 0 36 47 64 -0.15645862564141
+23 0 2 0 0 36 48 64 -0.200062770889001
+23 0 2 0 0 36 49 64 -0.242714254456166
+23 0 2 0 0 36 50 64 -0.284110588561725
+23 0 2 0 0 36 51 64 -0.323967920868768
+23 0 2 0 0 36 52 64 -0.362229760691359
+23 0 2 0 0 36 53 64 -0.398499389383101
+23 0 2 0 0 36 54 64 -0.432900378932911
+23 0 2 0 0 36 55 64 -0.464761174715851
+23 0 2 0 0 36 56 64 -0.494773475572979
+23 0 2 0 0 36 57 64 -0.521580243554704
+23 0 2 0 0 36 58 64 -0.546893699869221
+23 0 2 0 0 36 59 64 -0.567973073022963
+23 0 2 0 0 36 60 64 -0.588252719915169
+23 0 2 0 0 36 61 64 -0.602737733526661
+23 0 2 0 0 36 62 64 -0.617610521740755
+23 0 2 0 0 36 63 64 -0.626637235771335
+23 0 2 0 0 36 64 64 -0.6324775536859
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 0.155357054019681
+24 0 2 0 0 36 40 64 0.110630622584215
+24 0 2 0 0 36 41 64 0.061824096451542
+24 0 2 0 0 36 42 64 0.01888890225485
+24 0 2 0 0 36 43 64 -0.0286524300640415
+24 0 2 0 0 36 44 64 -0.0724543612904673
+24 0 2 0 0 36 45 64 -0.118683021333424
+24 0 2 0 0 36 46 64 -0.162368072299292
+24 0 2 0 0 36 47 64 -0.206449693169579
+24 0 2 0 0 36 48 64 -0.248790078811333
+24 0 2 0 0 36 49 64 -0.29007080399866
+24 0 2 0 0 36 50 64 -0.32978706828995
+24 0 2 0 0 36 51 64 -0.367727477514929
+24 0 2 0 0 36 52 64 -0.403867056010127
+24 0 2 0 0 36 53 64 -0.437751713651148
+24 0 2 0 0 36 54 64 -0.469641385416457
+24 0 2 0 0 36 55 64 -0.498726970210757
+24 0 2 0 0 36 56 64 -0.525937779421706
+24 0 2 0 0 36 57 64 -0.549639980438136
+24 0 2 0 0 36 58 64 -0.571912699977731
+24 0 2 0 0 36 59 64 -0.589532181973674
+24 0 2 0 0 36 60 64 -0.606503019086422
+24 0 2 0 0 36 61 64 -0.617268672707571
+24 0 2 0 0 36 62 64 -0.628640593754536
+24 0 2 0 0 36 63 64 -0.633878634492104
+24 0 2 0 0 36 64 64 -0.636055694883457
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 0.593051435158336
+24 0 1 0 0 36 28 64 0.553235529258506
+24 0 1 0 0 36 30 64 0.496587153503386
+24 0 1 0 0 36 32 64 0.432568128179715
+24 0 1 0 0 36 34 64 0.361989164300813
+24 0 1 0 0 36 36 64 0.282004295076648
+24 0 1 0 0 36 38 64 0.199026677654447
+24 0 1 0 0 36 40 64 0.110630622584215
+24 0 1 0 0 36 42 64 0.01888890225485
+24 0 1 0 0 36 44 64 -0.0724543612904673
+24 0 1 0 0 36 46 64 -0.162368072299292
+24 0 1 0 0 36 48 64 -0.248790078811333
+24 0 1 0 0 36 50 64 -0.32978706828995
+24 0 1 0 0 36 52 64 -0.403867056010127
+24 0 1 0 0 36 54 64 -0.469641385416457
+24 0 1 0 0 36 56 64 -0.525937779421706
+24 0 1 0 0 36 58 64 -0.571912699977731
+24 0 1 0 0 36 60 64 -0.606503019086422
+24 0 1 0 0 36 62 64 -0.628640593754536
+24 0 1 0 0 36 64 64 -0.636055694883457
+24 0 1 0 0 36 66 64 -0.631176827555007
+24 0 1 0 0 36 68 64 -0.616095580436379
+24 0 1 0 0 36 70 64 -0.587171213882843
+24 0 1 0 0 36 72 64 -0.547225423875211
+24 0 1 0 0 36 74 64 -0.500404205661221
+24 0 1 0 0 36 76 64 -0.442271353958298
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 0.0601352028871057
+24 0 0 0 0 36 4 64 0.236957458369474
+24 0 0 0 0 36 8 64 0.394656523128193
+24 0 0 0 0 36 12 64 0.520374609924172
+24 0 0 0 0 36 16 64 0.603881812260733
+24 0 0 0 0 36 20 64 0.638500078798993
+24 0 0 0 0 36 24 64 0.620271548205341
+24 0 0 0 0 36 28 64 0.553235529258506
+24 0 0 0 0 36 32 64 0.432568128179715
+24 0 0 0 0 36 36 64 0.282004295076648
+24 0 0 0 0 36 40 64 0.110630622584215
+24 0 0 0 0 36 44 64 -0.0724543612904673
+24 0 0 0 0 36 48 64 -0.248790078811333
+24 0 0 0 0 36 52 64 -0.403867056010127
+24 0 0 0 0 36 56 64 -0.525937779421706
+24 0 0 0 0 36 60 64 -0.606503019086422
+24 0 0 0 0 36 64 64 -0.636055694883457
+24 0 0 0 0 36 68 64 -0.616095580436379
+24 0 0 0 0 36 72 64 -0.547225423875211
+24 0 0 0 0 36 76 64 -0.442271353958298
+24 0 0 0 0 36 80 64 -0.292297261822056
+24 0 0 0 0 36 84 64 -0.121852628406663
+24 0 0 0 0 36 88 64 0.0601352028871057
+24 0 0 0 0 36 92 64 0.236957458369474
+24 0 0 0 0 36 96 64 0.394656523128193
+24 0 0 0 0 36 100 64 0.520374609924172
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vx.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vx.zl
new file mode 100644
index 000000000..98f566827
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vx.zl
@@ -0,0 +1,1757 @@
+# HYDROTOY::vx z (vx)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 0.132428472368254
+0 0 2 0 0 36 48 52 0.196827067972688
+0 0 2 0 0 36 48 53 0.259069185031701
+0 0 2 0 0 36 48 54 0.318472885885794
+0 0 2 0 0 36 48 55 0.374387331157387
+0 0 2 0 0 36 48 56 0.426199910483233
+0 0 2 0 0 36 48 57 0.473342954401761
+0 0 2 0 0 36 48 58 0.515299953858481
+0 0 2 0 0 36 48 59 0.55161121918728
+0 0 2 0 0 36 48 60 0.581878916566594
+0 0 2 0 0 36 48 61 0.605771426770014
+0 0 2 0 0 36 48 62 0.62302697845592
+0 0 2 0 0 36 48 63 0.633456516189086
+0 0 2 0 0 36 48 64 0.636945771771587
+0 0 2 0 0 36 48 65 0.633456516189086
+0 0 2 0 0 36 48 66 0.62302697845592
+0 0 2 0 0 36 48 67 0.605771426770014
+0 0 2 0 0 36 48 68 0.581878916566594
+0 0 2 0 0 36 48 69 0.55161121918728
+0 0 2 0 0 36 48 70 0.515299953858481
+0 0 2 0 0 36 48 71 0.47334295440176
+0 0 2 0 0 36 48 72 0.426199910483233
+0 0 2 0 0 36 48 73 0.374387331157387
+0 0 2 0 0 36 48 74 0.318472885885794
+0 0 2 0 0 36 48 75 0.259069185031701
+0 0 2 0 0 36 48 76 0.196827067972688
+0 0 2 0 0 36 48 77 0.132428472368254
+0 0 2 0 0 36 48 78 0.0665789627081145
+0 0 2 0 0 36 48 79 1.02901299771943e-15
+0 0 2 0 0 36 48 80 -0.0665789627081124
+0 0 2 0 0 36 48 81 -0.132428472368252
+0 0 2 0 0 36 48 82 -0.196827067972686
+0 0 2 0 0 36 48 83 -0.259069185031699
+0 0 2 0 0 36 48 84 -0.318472885885792
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -0.636945771771587
+0 0 1 0 0 36 48 36 -0.62302697845592
+0 0 1 0 0 36 48 38 -0.581878916566593
+0 0 1 0 0 36 48 40 -0.515299953858479
+0 0 1 0 0 36 48 42 -0.426199910483232
+0 0 1 0 0 36 48 44 -0.318472885885792
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+0 0 1 0 0 36 48 48 -0.0665789627081123
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+0 0 1 0 0 36 48 54 0.318472885885794
+0 0 1 0 0 36 48 56 0.426199910483233
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+0 0 1 0 0 36 48 60 0.581878916566594
+0 0 1 0 0 36 48 62 0.62302697845592
+0 0 1 0 0 36 48 64 0.636945771771587
+0 0 1 0 0 36 48 66 0.62302697845592
+0 0 1 0 0 36 48 68 0.581878916566594
+0 0 1 0 0 36 48 70 0.515299953858481
+0 0 1 0 0 36 48 72 0.426199910483233
+0 0 1 0 0 36 48 74 0.318472885885794
+0 0 1 0 0 36 48 76 0.196827067972688
+0 0 1 0 0 36 48 78 0.0665789627081145
+0 0 1 0 0 36 48 80 -0.0665789627081124
+0 0 1 0 0 36 48 82 -0.196827067972686
+0 0 1 0 0 36 48 84 -0.318472885885792
+0 0 1 0 0 36 48 86 -0.426199910483232
+0 0 1 0 0 36 48 88 -0.515299953858479
+0 0 1 0 0 36 48 90 -0.581878916566593
+0 0 1 0 0 36 48 92 -0.62302697845592
+0 0 1 0 0 36 48 94 -0.636945771771587
+0 0 1 0 0 36 48 96 -0.62302697845592
+0 0 1 0 0 36 48 98 -0.581878916566595
+0 0 1 0 0 36 48 100 -0.515299953858482
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 0.581878916566596
+0 0 0 0 0 36 48 4 0.636945771771587
+0 0 0 0 0 36 48 8 0.581878916566593
+0 0 0 0 0 36 48 12 0.42619991048323
+0 0 0 0 0 36 48 16 0.196827067972683
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+0 0 0 0 0 36 48 64 0.636945771771587
+0 0 0 0 0 36 48 68 0.581878916566594
+0 0 0 0 0 36 48 72 0.426199910483233
+0 0 0 0 0 36 48 76 0.196827067972688
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+0 0 0 0 0 36 48 84 -0.318472885885792
+0 0 0 0 0 36 48 88 -0.515299953858479
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+0 0 0 0 0 36 48 96 -0.62302697845592
+0 0 0 0 0 36 48 100 -0.515299953858482
+0 0 0 0 0 36 48 104 -0.318472885885796
+0 0 0 0 0 36 48 108 -0.0665789627081168
+0 0 0 0 0 36 48 112 0.196827067972684
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+0 0 0 0 0 36 48 120 0.581878916566593
+0 0 0 0 0 36 48 124 0.636945771771587
+0 0 0 0 0 36 48 128 0.581878916566596
+0 0 0 0 0 36 48 132 0.426199910483237
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 0.182859447316177
+1 0 2 0 0 36 48 52 0.245643801244416
+1 0 2 0 0 36 48 53 0.305942627806164
+1 0 2 0 0 36 48 54 0.362662712095609
+1 0 2 0 0 36 48 55 0.415409387819283
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+1 0 2 0 0 36 48 61 0.619882277103558
+1 0 2 0 0 36 48 62 0.631795536831408
+1 0 2 0 0 36 48 63 0.636786712446016
+1 0 2 0 0 36 48 64 0.63480111958288
+1 0 2 0 0 36 48 65 0.625860512812919
+1 0 2 0 0 36 48 66 0.610062847294848
+1 0 2 0 0 36 48 67 0.587581205557956
+1 0 2 0 0 36 48 68 0.558661901173699
+1 0 2 0 0 36 48 69 0.523621780092664
+1 0 2 0 0 36 48 70 0.482844749214033
+1 0 2 0 0 36 48 71 0.436777570221252
+1 0 2 0 0 36 48 72 0.385924964767545
+1 0 2 0 0 36 48 73 0.330844084639854
+1 0 2 0 0 36 48 74 0.272138407487272
+1 0 2 0 0 36 48 75 0.210451124993638
+1 0 2 0 0 36 48 76 0.146458095934844
+1 0 2 0 0 36 48 77 0.0808604413286607
+1 0 2 0 0 36 48 78 0.0143768628061456
+1 0 2 0 0 36 48 79 -0.0522642316338257
+1 0 2 0 0 36 48 80 -0.118332708215023
+1 0 2 0 0 36 48 81 -0.183104706882305
+1 0 2 0 0 36 48 82 -0.245870572063862
+1 0 2 0 0 36 48 83 -0.305714876553033
+1 0 2 0 0 36 48 84 -0.362463799340455
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 0.232337107018868
+2 0 2 0 0 36 48 52 0.293071522772709
+2 0 2 0 0 36 48 53 0.350765034384865
+2 0 2 0 0 36 48 54 0.404404119601581
+2 0 2 0 0 36 48 55 0.453629708543949
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+2 0 2 0 0 36 48 60 0.616420941848547
+2 0 2 0 0 36 48 61 0.62981184499232
+2 0 2 0 0 36 48 62 0.636302397765754
+2 0 2 0 0 36 48 63 0.63582148831443
+2 0 2 0 0 36 48 64 0.628374385582933
+2 0 2 0 0 36 48 65 0.614042681587195
+2 0 2 0 0 36 48 66 0.592983397475296
+2 0 2 0 0 36 48 67 0.565427263170905
+2 0 2 0 0 36 48 68 0.53167618944795
+2 0 2 0 0 36 48 69 0.492099960133009
+2 0 2 0 0 36 48 70 0.447132180676314
+2 0 2 0 0 36 48 71 0.397265527479704
+2 0 2 0 0 36 48 72 0.343046350030871
+2 0 2 0 0 36 48 73 0.285068684984036
+2 0 2 0 0 36 48 74 0.223967747770058
+2 0 2 0 0 36 48 75 0.160412973043247
+2 0 2 0 0 36 48 76 0.0951006802152019
+2 0 2 0 0 36 48 77 0.0287464444336219
+2 0 2 0 0 36 48 78 -0.0379227434087529
+2 0 2 0 0 36 48 79 -0.104176441738497
+2 0 2 0 0 36 48 80 -0.169288761172233
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+2 0 2 0 0 36 48 82 -0.293244333001725
+2 0 2 0 0 36 48 83 -0.350568793144779
+2 0 2 0 0 36 48 84 -0.404256490972884
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -0.628552655248775
+2 0 1 0 0 36 48 36 -0.594053210778659
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+2 0 1 0 0 36 48 72 0.343046350030871
+2 0 1 0 0 36 48 74 0.223967747770058
+2 0 1 0 0 36 48 76 0.0951006802152019
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+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 0.279952111893795
+3 0 2 0 0 36 48 52 0.3382490782123
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+3 0 2 0 0 36 48 67 0.539459022010053
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+3 0 2 0 0 36 48 70 0.408403155468462
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+3 0 2 0 0 36 48 73 0.237369942557514
+3 0 2 0 0 36 48 74 0.174285881839922
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+3 0 2 0 0 36 48 83 -0.392885999087657
+3 0 2 0 0 36 48 84 -0.443089326490142
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 0.32602404527742
+4 0 2 0 0 36 48 52 0.381463519011613
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+4 0 2 0 0 36 48 63 0.621059569207628
+4 0 2 0 0 36 48 64 0.602876514907985
+4 0 2 0 0 36 48 65 0.578088219350988
+4 0 2 0 0 36 48 66 0.546966268290045
+4 0 2 0 0 36 48 67 0.509851640333667
+4 0 2 0 0 36 48 68 0.467150971112477
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+4 0 2 0 0 36 48 70 0.366918934858229
+4 0 2 0 0 36 48 71 0.310485730989273
+4 0 2 0 0 36 48 72 0.250650780478283
+4 0 2 0 0 36 48 73 0.188069647564324
+4 0 2 0 0 36 48 74 0.123427984235547
+4 0 2 0 0 36 48 75 0.0574340180825192
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+4 0 2 0 0 36 48 82 -0.381720965323459
+4 0 2 0 0 36 48 83 -0.432742869400785
+4 0 2 0 0 36 48 84 -0.479216183989874
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -0.603952191874012
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+4 0 1 0 0 36 48 66 0.546966268290045
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+4 0 1 0 0 36 48 98 -0.469079251221587
+4 0 1 0 0 36 48 100 -0.369418369953891
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 0.634847735200847
+4 0 0 0 0 36 48 4 0.604381951846527
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+4 0 0 0 0 36 48 112 0.380179061620702
+4 0 0 0 0 36 48 116 0.555542577728327
+4 0 0 0 0 36 48 120 0.634847735200847
+4 0 0 0 0 36 48 124 0.604381951846527
+4 0 0 0 0 36 48 128 0.469413038380274
+4 0 0 0 0 36 48 132 0.253278346094499
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 0.369587443098607
+5 0 2 0 0 36 48 52 0.421820541790477
+5 0 2 0 0 36 48 53 0.46996045780176
+5 0 2 0 0 36 48 54 0.512177639615592
+5 0 2 0 0 36 48 55 0.549016438532613
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+5 0 2 0 0 36 48 58 0.621935715790477
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+5 0 2 0 0 36 48 61 0.633986012148615
+5 0 2 0 0 36 48 62 0.624093033907395
+5 0 2 0 0 36 48 63 0.607362361425078
+5 0 2 0 0 36 48 64 0.583977300176662
+5 0 2 0 0 36 48 65 0.554194061059302
+5 0 2 0 0 36 48 66 0.518338956194221
+5 0 2 0 0 36 48 67 0.476804820907084
+5 0 2 0 0 36 48 68 0.430046712559822
+5 0 2 0 0 36 48 69 0.378576922117849
+5 0 2 0 0 36 48 70 0.32295936399348
+5 0 2 0 0 36 48 71 0.263803395218443
+5 0 2 0 0 36 48 72 0.201757141489655
+5 0 2 0 0 36 48 73 0.137500394078854
+5 0 2 0 0 36 48 74 0.0717371637645539
+5 0 2 0 0 36 48 75 0.0051879659917244
+5 0 2 0 0 36 48 76 -0.0614180707704725
+5 0 2 0 0 36 48 77 -0.127351162318847
+5 0 2 0 0 36 48 78 -0.191888785406138
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+5 0 2 0 0 36 48 82 -0.422229885181457
+5 0 2 0 0 36 48 83 -0.469510882605635
+5 0 2 0 0 36 48 84 -0.511888431964945
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 0.410973619219158
+6 0 2 0 0 36 48 52 0.459618247675615
+6 0 2 0 0 36 48 53 0.503697846687932
+6 0 2 0 0 36 48 54 0.541472663837447
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+6 0 2 0 0 36 48 57 0.61867433758473
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+6 0 2 0 0 36 48 60 0.635210007678769
+6 0 2 0 0 36 48 61 0.626807662103644
+6 0 2 0 0 36 48 62 0.611537883091092
+6 0 2 0 0 36 48 63 0.589567962499332
+6 0 2 0 0 36 48 64 0.561138616584436
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+6 0 2 0 0 36 48 66 0.486214899888813
+6 0 2 0 0 36 48 67 0.440541409226756
+6 0 2 0 0 36 48 68 0.390041258950103
+6 0 2 0 0 36 48 69 0.335267730984837
+6 0 2 0 0 36 48 70 0.27682094336966
+6 0 2 0 0 36 48 71 0.215341244105814
+6 0 2 0 0 36 48 72 0.1515022242297
+6 0 2 0 0 36 48 73 0.0860033115397398
+6 0 2 0 0 36 48 74 0.0195621309605019
+6 0 2 0 0 36 48 75 -0.0470933765645733
+6 0 2 0 0 36 48 76 -0.113232905819705
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+6 0 2 0 0 36 48 78 -0.241078122349286
+6 0 2 0 0 36 48 79 -0.301376503002932
+6 0 2 0 0 36 48 80 -0.35836686900513
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+6 0 2 0 0 36 48 82 -0.45988544575926
+6 0 2 0 0 36 48 83 -0.503288678849976
+6 0 2 0 0 36 48 84 -0.541355614251067
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -0.56404500468142
+6 0 1 0 0 36 48 36 -0.490169365593426
+6 0 1 0 0 36 48 38 -0.390420486732474
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+6 0 1 0 0 36 48 60 0.635210007678769
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+6 0 1 0 0 36 48 66 0.486214899888813
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+6 0 1 0 0 36 48 72 0.1515022242297
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+6 0 1 0 0 36 48 98 -0.393462752993905
+6 0 1 0 0 36 48 100 -0.281813846197895
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 0.449309745991977
+7 0 2 0 0 36 48 52 0.494064359033142
+7 0 2 0 0 36 48 53 0.534038169746167
+7 0 2 0 0 36 48 54 0.567106504281263
+7 0 2 0 0 36 48 55 0.594472990601669
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+7 0 2 0 0 36 48 61 0.615400649750797
+7 0 2 0 0 36 48 62 0.594857059849678
+7 0 2 0 0 36 48 63 0.567796065272538
+7 0 2 0 0 36 48 64 0.534514205498578
+7 0 2 0 0 36 48 65 0.495376069022985
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+7 0 2 0 0 36 48 67 0.401305761481285
+7 0 2 0 0 36 48 68 0.347404242542955
+7 0 2 0 0 36 48 69 0.289696466484158
+7 0 2 0 0 36 48 70 0.228814737259622
+7 0 2 0 0 36 48 71 0.165426045783869
+7 0 2 0 0 36 48 72 0.100224929985292
+7 0 2 0 0 36 48 73 0.03392571316393
+7 0 2 0 0 36 48 74 -0.0327451868295255
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+7 0 2 0 0 36 48 76 -0.164284100290875
+7 0 2 0 0 36 48 77 -0.227710215842418
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+7 0 2 0 0 36 48 82 -0.494439167359055
+7 0 2 0 0 36 48 83 -0.533528844610392
+7 0 2 0 0 36 48 84 -0.566994334380775
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 0.484892437889893
+8 0 2 0 0 36 48 52 0.525422968407688
+8 0 2 0 0 36 48 53 0.560773406238685
+8 0 2 0 0 36 48 54 0.588908721727004
+8 0 2 0 0 36 48 55 0.611264370167749
+8 0 2 0 0 36 48 56 0.626553333809615
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+8 0 2 0 0 36 48 58 0.636680057892907
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+8 0 2 0 0 36 48 60 0.618947915131141
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+8 0 2 0 0 36 48 62 0.574162266291851
+8 0 2 0 0 36 48 63 0.542192715899943
+8 0 2 0 0 36 48 64 0.504282895512788
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+8 0 2 0 0 36 48 67 0.359361896440874
+8 0 2 0 0 36 48 68 0.302422704438058
+8 0 2 0 0 36 48 69 0.242170014277742
+8 0 2 0 0 36 48 70 0.179264144037879
+8 0 2 0 0 36 48 71 0.114394140433546
+8 0 2 0 0 36 48 72 0.0482708803796565
+8 0 2 0 0 36 48 73 -0.0183813053954763
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+8 0 2 0 0 36 48 77 -0.27575175222588
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+8 0 2 0 0 36 48 82 -0.525661713027741
+8 0 2 0 0 36 48 83 -0.560327936269043
+8 0 2 0 0 36 48 84 -0.589012391176558
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -0.50812143198451
+8 0 1 0 0 36 48 36 -0.417009758662887
+8 0 1 0 0 36 48 38 -0.302776609144337
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+8 0 1 0 0 36 48 56 0.626553333809615
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+8 0 1 0 0 36 48 60 0.618947915131141
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+8 0 1 0 0 36 48 66 0.412363941469229
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+8 0 1 0 0 36 48 98 -0.306499131785603
+8 0 1 0 0 36 48 100 -0.184433501239431
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 0.621361463077224
+8 0 0 0 0 36 48 4 0.508360375451162
+8 0 0 0 0 36 48 8 0.307459160600561
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+8 0 0 0 0 36 48 76 -0.214227108036463
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+8 0 0 0 0 36 48 100 -0.184433501239431
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+8 0 0 0 0 36 48 128 0.307459160600561
+8 0 0 0 0 36 48 132 0.0533954637033426
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 0.516964186045008
+9 0 2 0 0 36 48 52 0.55302708324319
+9 0 2 0 0 36 48 53 0.583723553491744
+9 0 2 0 0 36 48 54 0.606735349597926
+9 0 2 0 0 36 48 55 0.623935533856297
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+9 0 2 0 0 36 48 63 0.512929022416497
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+9 0 2 0 0 36 48 84 -0.606926190611094
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 0.545780821224189
+10 0 2 0 0 36 48 52 0.577099034391671
+10 0 2 0 0 36 48 53 0.60273034698985
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+10 0 2 0 0 36 48 84 -0.62089693069349
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -0.440215712565408
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+10 0 1 0 0 36 48 100 -0.0844937475062764
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 0.570720022387041
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+11 0 2 0 0 36 48 84 -0.630592895208867
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 0.591991082814849
+12 0 2 0 0 36 48 52 0.61325399958342
+12 0 2 0 0 36 48 53 0.628422764317832
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+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -0.358773165894115
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+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 0.542663970499057
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+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 0.609124634295348
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+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 0.622276125686859
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+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 -0.269958962469804
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+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 0.631146479920528
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+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 0.635826989009683
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+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 -0.171541543883605
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+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+18 0 2 0 0 36 48 84 -0.579653108950874
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 -0.0711814361551937
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+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 0.624190003032422
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+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 0.611817290212917
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+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 0.0338095630282553
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+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 0.228090403271795
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+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 0.595460632754114
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+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 0.574981209208591
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+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 0.135071690480935
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+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+24 0 1 0 0 36 48 80 -0.557578350121699
+24 0 1 0 0 36 48 82 -0.481862016489283
+24 0 1 0 0 36 48 84 -0.385003264005743
+24 0 1 0 0 36 48 86 -0.271401623807447
+24 0 1 0 0 36 48 88 -0.146763280761799
+24 0 1 0 0 36 48 90 -0.0155718802585938
+24 0 1 0 0 36 48 92 0.116176176190264
+24 0 1 0 0 36 48 94 0.241652511854187
+24 0 1 0 0 36 48 96 0.359086580346103
+24 0 1 0 0 36 48 98 0.460066733649372
+24 0 1 0 0 36 48 100 0.543167721423067
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 0.0250411599902423
+24 0 0 0 0 36 48 4 -0.236963617194016
+24 0 0 0 0 36 48 8 -0.457995382209808
+24 0 0 0 0 36 48 12 -0.599835554460835
+24 0 0 0 0 36 48 16 -0.637958747633299
+24 0 0 0 0 36 48 20 -0.565772783995255
+24 0 0 0 0 36 48 24 -0.395772337243132
+24 0 0 0 0 36 48 28 -0.157361285582644
+24 0 0 0 0 36 48 32 0.107658713859878
+24 0 0 0 0 36 48 36 0.353465326684183
+24 0 0 0 0 36 48 40 0.540359126873652
+24 0 0 0 0 36 48 44 0.630189289168144
+24 0 0 0 0 36 48 48 0.609337629898276
+24 0 0 0 0 36 48 52 0.482084033786055
+24 0 0 0 0 36 48 56 0.269196789884849
+24 0 0 0 0 36 48 60 0.0106104883737563
+24 0 0 0 0 36 48 64 -0.248790078811333
+24 0 0 0 0 36 48 68 -0.46526293548832
+24 0 0 0 0 36 48 72 -0.601278887818399
+24 0 0 0 0 36 48 76 -0.633489788761972
+24 0 0 0 0 36 48 80 -0.557578350121699
+24 0 0 0 0 36 48 84 -0.385003264005743
+24 0 0 0 0 36 48 88 -0.146763280761799
+24 0 0 0 0 36 48 92 0.116176176190264
+24 0 0 0 0 36 48 96 0.359086580346103
+24 0 0 0 0 36 48 100 0.543167721423067
+24 0 0 0 0 36 48 104 0.632108122366573
+24 0 0 0 0 36 48 108 0.615477387449306
+24 0 0 0 0 36 48 112 0.491491245410195
+24 0 0 0 0 36 48 116 0.282719842794044
+24 0 0 0 0 36 48 120 0.0250411599902423
+24 0 0 0 0 36 48 124 -0.236963617194016
+24 0 0 0 0 36 48 128 -0.457995382209808
+24 0 0 0 0 36 48 132 -0.599835554460835
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vy.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vy.xl
new file mode 100644
index 000000000..efe727eca
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vy.xl
@@ -0,0 +1,1082 @@
+# HYDROTOY::vy x (vy)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0.255264089425492
+0 0 2 0 0 28 48 64 0.290590848056751
+0 0 2 0 0 29 48 64 0.322733832546656
+0 0 2 0 0 30 48 64 0.351340877630784
+0 0 2 0 0 31 48 64 0.376098558536783
+0 0 2 0 0 32 48 64 0.39673562493177
+0 0 2 0 0 33 48 64 0.413025972797738
+0 0 2 0 0 34 48 64 0.424791121674493
+0 0 2 0 0 35 48 64 0.431902170128924
+0 0 2 0 0 36 48 64 0.434281208026084
+0 0 2 0 0 37 48 64 0.431902170128924
+0 0 2 0 0 38 48 64 0.424791121674493
+0 0 2 0 0 39 48 64 0.413025972797738
+0 0 2 0 0 40 48 64 0.39673562493177
+0 0 2 0 0 41 48 64 0.376098558536783
+0 0 2 0 0 42 48 64 0.351340877630784
+0 0 2 0 0 43 48 64 0.322733832546656
+0 0 2 0 0 44 48 64 0.290590848056751
+0 0 2 0 0 45 48 64 0.255264089425492
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -0.134200273617741
+0 0 1 0 0 20 48 64 -0.045394747300986
+0 0 1 0 0 22 48 64 0.0453947473009874
+0 0 1 0 0 24 48 64 0.134200273617742
+0 0 1 0 0 26 48 64 0.217140604013042
+0 0 1 0 0 28 48 64 0.290590848056751
+0 0 1 0 0 30 48 64 0.351340877630784
+0 0 1 0 0 32 48 64 0.39673562493177
+0 0 1 0 0 34 48 64 0.424791121674493
+0 0 1 0 0 36 48 64 0.434281208026084
+0 0 1 0 0 38 48 64 0.424791121674493
+0 0 1 0 0 40 48 64 0.39673562493177
+0 0 1 0 0 42 48 64 0.351340877630784
+0 0 1 0 0 44 48 64 0.290590848056751
+0 0 1 0 0 46 48 64 0.217140604013042
+0 0 1 0 0 48 48 64 0.134200273617742
+0 0 1 0 0 50 48 64 0.0453947473009874
+0 0 1 0 0 52 48 64 -0.045394747300986
+0 0 1 0 0 54 48 64 -0.134200273617741
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -0.351340877630785
+0 0 0 0 0 4 48 64 -0.424791121674493
+0 0 0 0 0 8 48 64 -0.424791121674492
+0 0 0 0 0 12 48 64 -0.351340877630783
+0 0 0 0 0 16 48 64 -0.217140604013041
+0 0 0 0 0 20 48 64 -0.045394747300986
+0 0 0 0 0 24 48 64 0.134200273617742
+0 0 0 0 0 28 48 64 0.290590848056751
+0 0 0 0 0 32 48 64 0.39673562493177
+0 0 0 0 0 36 48 64 0.434281208026084
+0 0 0 0 0 40 48 64 0.39673562493177
+0 0 0 0 0 44 48 64 0.290590848056751
+0 0 0 0 0 48 48 64 0.134200273617742
+0 0 0 0 0 52 48 64 -0.045394747300986
+0 0 0 0 0 56 48 64 -0.217140604013041
+0 0 0 0 0 60 48 64 -0.351340877630783
+0 0 0 0 0 64 48 64 -0.424791121674492
+0 0 0 0 0 68 48 64 -0.424791121674493
+0 0 0 0 0 72 48 64 -0.351340877630785
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0.283176568773253
+1 0 2 0 0 28 48 64 0.316055335886615
+1 0 2 0 0 29 48 64 0.345513711018404
+1 0 2 0 0 30 48 64 0.371122783814015
+1 0 2 0 0 31 48 64 0.392665757727724
+1 0 2 0 0 32 48 64 0.409906603429176
+1 0 2 0 0 33 48 64 0.422656426604986
+1 0 2 0 0 34 48 64 0.430775537524368
+1 0 2 0 0 35 48 64 0.434174981509057
+1 0 2 0 0 36 48 64 0.432817513539377
+1 0 2 0 0 37 48 64 0.426718006318472
+1 0 2 0 0 38 48 64 0.415943287323858
+1 0 2 0 0 39 48 64 0.400611406631595
+1 0 2 0 0 40 48 64 0.38089034353495
+1 0 2 0 0 41 48 64 0.356996166128108
+1 0 2 0 0 42 48 64 0.329190664018915
+1 0 2 0 0 43 48 64 0.297778480107156
+1 0 2 0 0 44 48 64 0.263189710344193
+1 0 2 0 0 45 48 64 0.225627533511119
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0.309402069630804
+2 0 2 0 0 28 48 64 0.33958273156523
+2 0 2 0 0 29 48 64 0.365966444549497
+2 0 2 0 0 30 48 64 0.388397912899832
+2 0 2 0 0 31 48 64 0.40658190776558
+2 0 2 0 0 32 48 64 0.420310063822659
+2 0 2 0 0 33 48 64 0.429433214864962
+2 0 2 0 0 34 48 64 0.433851405740526
+2 0 2 0 0 35 48 64 0.433516229825554
+2 0 2 0 0 36 48 64 0.42843135937751
+2 0 2 0 0 37 48 64 0.418652505301101
+2 0 2 0 0 38 48 64 0.404286806767943
+2 0 2 0 0 39 48 64 0.385491657377382
+2 0 2 0 0 40 48 64 0.36247298071928
+2 0 2 0 0 41 48 64 0.335482974232069
+2 0 2 0 0 42 48 64 0.304818858904521
+2 0 2 0 0 43 48 64 0.270820485587063
+2 0 2 0 0 44 48 64 0.233822195913786
+2 0 2 0 0 45 48 64 0.194272120195834
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -0.0655271005248178
+2 0 1 0 0 20 48 64 0.0251548699529308
+2 0 1 0 0 22 48 64 0.115554933383201
+2 0 1 0 0 24 48 64 0.200079272368088
+2 0 1 0 0 26 48 64 0.275859187063621
+2 0 1 0 0 28 48 64 0.33958273156523
+2 0 1 0 0 30 48 64 0.388397912899832
+2 0 1 0 0 32 48 64 0.420310063822659
+2 0 1 0 0 34 48 64 0.433851405740526
+2 0 1 0 0 36 48 64 0.42843135937751
+2 0 1 0 0 38 48 64 0.404286806767943
+2 0 1 0 0 40 48 64 0.36247298071928
+2 0 1 0 0 42 48 64 0.304818858904521
+2 0 1 0 0 44 48 64 0.233822195913786
+2 0 1 0 0 46 48 64 0.152610921783482
+2 0 1 0 0 48 48 64 0.064729818062789
+2 0 1 0 0 50 48 64 -0.0259802893153761
+2 0 1 0 0 52 48 64 -0.114784079645862
+2 0 1 0 0 54 48 64 -0.199254888577804
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0.333361526506141
+3 0 2 0 0 28 48 64 0.360651945132077
+3 0 2 0 0 29 48 64 0.383952973983891
+3 0 2 0 0 30 48 64 0.403047827196931
+3 0 2 0 0 31 48 64 0.417753454940828
+3 0 2 0 0 32 48 64 0.42787574623986
+3 0 2 0 0 33 48 64 0.433310583841825
+3 0 2 0 0 34 48 64 0.433997941187885
+3 0 2 0 0 35 48 64 0.429930326270383
+3 0 2 0 0 36 48 64 0.421152304729559
+3 0 2 0 0 37 48 64 0.407760050406331
+3 0 2 0 0 38 48 64 0.389900291641575
+3 0 2 0 0 39 48 64 0.367768703689713
+3 0 2 0 0 40 48 64 0.341607812135605
+3 0 2 0 0 41 48 64 0.311704605139283
+3 0 2 0 0 42 48 64 0.278393190232293
+3 0 2 0 0 43 48 64 0.242041242350928
+3 0 2 0 0 44 48 64 0.203070278267531
+3 0 2 0 0 45 48 64 0.161812701517813
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0.355235766996151
+4 0 2 0 0 28 48 64 0.379436673240662
+4 0 2 0 0 29 48 64 0.399348797331985
+4 0 2 0 0 30 48 64 0.414972413400282
+4 0 2 0 0 31 48 64 0.426105581045068
+4 0 2 0 0 32 48 64 0.432552334498561
+4 0 2 0 0 33 48 64 0.43426235850381
+4 0 2 0 0 34 48 64 0.431214120790632
+4 0 2 0 0 35 48 64 0.423441430879779
+4 0 2 0 0 36 48 64 0.411029426828164
+4 0 2 0 0 37 48 64 0.394114098362783
+4 0 2 0 0 38 48 64 0.372880774839434
+4 0 2 0 0 39 48 64 0.3475621119441
+4 0 2 0 0 40 48 64 0.318435926858005
+4 0 2 0 0 41 48 64 0.285822450403635
+4 0 2 0 0 42 48 64 0.250094542352784
+4 0 2 0 0 43 48 64 0.211635376807064
+4 0 2 0 0 44 48 64 0.170739966238095
+4 0 2 0 0 45 48 64 0.128041071204397
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 0.0067368636882607
+4 0 1 0 0 20 48 64 0.0970575786127553
+4 0 1 0 0 22 48 64 0.182691419617382
+4 0 1 0 0 24 48 64 0.260571042573595
+4 0 1 0 0 26 48 64 0.327161478786347
+4 0 1 0 0 28 48 64 0.379436673240662
+4 0 1 0 0 30 48 64 0.414972413400282
+4 0 1 0 0 32 48 64 0.432552334498561
+4 0 1 0 0 34 48 64 0.431214120790632
+4 0 1 0 0 36 48 64 0.411029426828164
+4 0 1 0 0 38 48 64 0.372880774839434
+4 0 1 0 0 40 48 64 0.318435926858005
+4 0 1 0 0 42 48 64 0.250094542352784
+4 0 1 0 0 44 48 64 0.170739966238095
+4 0 1 0 0 46 48 64 0.0839528439105613
+4 0 1 0 0 48 48 64 -0.00648909154336562
+4 0 1 0 0 50 48 64 -0.0966107184904965
+4 0 1 0 0 52 48 64 -0.183131617804134
+4 0 1 0 0 54 48 64 -0.261016192773853
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -0.415891937557671
+4 0 0 0 0 4 48 64 -0.432015923162627
+4 0 0 0 0 8 48 64 -0.373440430911314
+4 0 0 0 0 12 48 64 -0.250293695555626
+4 0 0 0 0 16 48 64 -0.0838689063915308
+4 0 0 0 0 20 48 64 0.0970575786127553
+4 0 0 0 0 24 48 64 0.260571042573595
+4 0 0 0 0 28 48 64 0.379436673240662
+4 0 0 0 0 32 48 64 0.432552334498561
+4 0 0 0 0 36 48 64 0.411029426828164
+4 0 0 0 0 40 48 64 0.318435926858005
+4 0 0 0 0 44 48 64 0.170739966238095
+4 0 0 0 0 48 48 64 -0.00648909154336562
+4 0 0 0 0 52 48 64 -0.183131617804134
+4 0 0 0 0 56 48 64 -0.327856457689353
+4 0 0 0 0 60 48 64 -0.415891937557671
+4 0 0 0 0 64 48 64 -0.432015923162627
+4 0 0 0 0 68 48 64 -0.373440430911314
+4 0 0 0 0 72 48 64 -0.250293695555626
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0.37457330761679
+5 0 2 0 0 28 48 64 0.395532448157436
+5 0 2 0 0 29 48 64 0.412049450282863
+5 0 2 0 0 30 48 64 0.424091414994913
+5 0 2 0 0 31 48 64 0.4315824828303
+5 0 2 0 0 32 48 64 0.434307743906934
+5 0 2 0 0 33 48 64 0.432282152192767
+5 0 2 0 0 34 48 64 0.42551867321535
+5 0 2 0 0 35 48 64 0.414093285823423
+5 0 2 0 0 36 48 64 0.398130985176334
+5 0 2 0 0 37 48 64 0.377806679667686
+5 0 2 0 0 38 48 64 0.353343069037434
+5 0 2 0 0 39 48 64 0.325008285579854
+5 0 2 0 0 40 48 64 0.293114403603077
+5 0 2 0 0 41 48 64 0.258012424736911
+5 0 2 0 0 42 48 64 0.220116031119362
+5 0 2 0 0 43 48 64 0.179806264318881
+5 0 2 0 0 44 48 64 0.137465698000383
+5 0 2 0 0 45 48 64 0.0936210045505963
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0.391517582994284
+6 0 2 0 0 28 48 64 0.409074092460248
+6 0 2 0 0 29 48 64 0.421966449917568
+6 0 2 0 0 30 48 64 0.430343946508604
+6 0 2 0 0 31 48 64 0.434147542998717
+6 0 2 0 0 32 48 64 0.433129393605063
+6 0 2 0 0 33 48 64 0.427383419617106
+6 0 2 0 0 34 48 64 0.416949899559964
+6 0 2 0 0 35 48 64 0.401948897546469
+6 0 2 0 0 36 48 64 0.382543933581744
+6 0 2 0 0 37 48 64 0.358947753809314
+6 0 2 0 0 38 48 64 0.331419006632753
+6 0 2 0 0 39 48 64 0.300259585685352
+6 0 2 0 0 40 48 64 0.265815268912427
+6 0 2 0 0 41 48 64 0.228463521083312
+6 0 2 0 0 42 48 64 0.188660698999873
+6 0 2 0 0 43 48 64 0.146767542523327
+6 0 2 0 0 44 48 64 0.10303599416276
+6 0 2 0 0 45 48 64 0.0583345608669474
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0.0771461572319428
+6 0 1 0 0 20 48 64 0.164605362121077
+6 0 1 0 0 22 48 64 0.244983780636046
+6 0 1 0 0 24 48 64 0.314024350992821
+6 0 1 0 0 26 48 64 0.36967136494162
+6 0 1 0 0 28 48 64 0.409074092460248
+6 0 1 0 0 30 48 64 0.430343946508604
+6 0 1 0 0 32 48 64 0.433129393605063
+6 0 1 0 0 34 48 64 0.416949899559964
+6 0 1 0 0 36 48 64 0.382543933581744
+6 0 1 0 0 38 48 64 0.331419006632753
+6 0 1 0 0 40 48 64 0.265815268912427
+6 0 1 0 0 42 48 64 0.188660698999873
+6 0 1 0 0 44 48 64 0.10303599416276
+6 0 1 0 0 46 48 64 0.0130134629970996
+6 0 1 0 0 48 48 64 -0.077522130263491
+6 0 1 0 0 50 48 64 -0.164618184676369
+6 0 1 0 0 52 48 64 -0.244894892163837
+6 0 1 0 0 54 48 64 -0.31425977339474
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0.405711722968518
+7 0 2 0 0 28 48 64 0.41975904041542
+7 0 2 0 0 29 48 64 0.429033323321321
+7 0 2 0 0 30 48 64 0.433689662183315
+7 0 2 0 0 31 48 64 0.433783395208933
+7 0 2 0 0 32 48 64 0.429024375375599
+7 0 2 0 0 33 48 64 0.419599318484141
+7 0 2 0 0 34 48 64 0.405565319864247
+7 0 2 0 0 35 48 64 0.387090056552763
+7 0 2 0 0 36 48 64 0.364373268176164
+7 0 2 0 0 37 48 64 0.337664410638778
+7 0 2 0 0 38 48 64 0.30725654622162
+7 0 2 0 0 39 48 64 0.273483289221316
+7 0 2 0 0 40 48 64 0.236724164009264
+7 0 2 0 0 41 48 64 0.197376169649969
+7 0 2 0 0 42 48 64 0.155940546586053
+7 0 2 0 0 43 48 64 0.112739316901096
+7 0 2 0 0 44 48 64 0.0681314450654611
+7 0 2 0 0 45 48 64 0.0228784735318221
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0.417268657032234
+8 0 2 0 0 28 48 64 0.427688147267513
+8 0 2 0 0 29 48 64 0.433200460796139
+8 0 2 0 0 30 48 64 0.434107556422177
+8 0 2 0 0 31 48 64 0.43049192038432
+8 0 2 0 0 32 48 64 0.422019543559196
+8 0 2 0 0 33 48 64 0.408982372488295
+8 0 2 0 0 34 48 64 0.391441159406557
+8 0 2 0 0 35 48 64 0.369616695178708
+8 0 2 0 0 36 48 64 0.343741214330307
+8 0 2 0 0 37 48 64 0.314099922724759
+8 0 2 0 0 38 48 64 0.281018734327645
+8 0 2 0 0 39 48 64 0.24486035896335
+8 0 2 0 0 40 48 64 0.206038766462716
+8 0 2 0 0 41 48 64 0.164960493436467
+8 0 2 0 0 42 48 64 0.12217454745716
+8 0 2 0 0 43 48 64 0.0779488163171648
+8 0 2 0 0 44 48 64 0.0325251872617414
+8 0 2 0 0 45 48 64 -0.0129742671169253
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0.147468882292441
+8 0 1 0 0 20 48 64 0.229700892663699
+8 0 1 0 0 22 48 64 0.300732694945574
+8 0 1 0 0 24 48 64 0.358987854011449
+8 0 1 0 0 26 48 64 0.402249531828664
+8 0 1 0 0 28 48 64 0.427688147267513
+8 0 1 0 0 30 48 64 0.434107556422177
+8 0 1 0 0 32 48 64 0.422019543559196
+8 0 1 0 0 34 48 64 0.391441159406557
+8 0 1 0 0 36 48 64 0.343741214330307
+8 0 1 0 0 38 48 64 0.281018734327645
+8 0 1 0 0 40 48 64 0.206038766462716
+8 0 1 0 0 42 48 64 0.12217454745716
+8 0 1 0 0 44 48 64 0.0325251872617414
+8 0 1 0 0 46 48 64 -0.0582942915334041
+8 0 1 0 0 48 48 64 -0.146451373479217
+8 0 1 0 0 50 48 64 -0.228218142555362
+8 0 1 0 0 52 48 64 -0.301921392595625
+8 0 1 0 0 54 48 64 -0.360663721881204
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -0.436390709668035
+8 0 0 0 0 4 48 64 -0.393242459943245
+8 0 0 0 0 8 48 64 -0.282099016398671
+8 0 0 0 0 12 48 64 -0.122178090129659
+8 0 0 0 0 16 48 64 0.0588685378758739
+8 0 0 0 0 20 48 64 0.229700892663699
+8 0 0 0 0 24 48 64 0.358987854011449
+8 0 0 0 0 28 48 64 0.427688147267513
+8 0 0 0 0 32 48 64 0.422019543559196
+8 0 0 0 0 36 48 64 0.343741214330307
+8 0 0 0 0 40 48 64 0.206038766462716
+8 0 0 0 0 44 48 64 0.0325251872617414
+8 0 0 0 0 48 48 64 -0.146451373479217
+8 0 0 0 0 52 48 64 -0.301921392595625
+8 0 0 0 0 56 48 64 -0.404083041206084
+8 0 0 0 0 60 48 64 -0.436390709668035
+8 0 0 0 0 64 48 64 -0.393242459943245
+8 0 0 0 0 68 48 64 -0.282099016398671
+8 0 0 0 0 72 48 64 -0.122178090129659
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0.425934883516877
+9 0 2 0 0 28 48 64 0.432669711612734
+9 0 2 0 0 29 48 64 0.434441189807956
+9 0 2 0 0 30 48 64 0.43159680365172
+9 0 2 0 0 31 48 64 0.424294191332907
+9 0 2 0 0 32 48 64 0.41216142147079
+9 0 2 0 0 33 48 64 0.395603947624351
+9 0 2 0 0 34 48 64 0.374671711622066
+9 0 2 0 0 35 48 64 0.349646103300171
+9 0 2 0 0 36 48 64 0.32078627833161
+9 0 2 0 0 37 48 64 0.288412673442137
+9 0 2 0 0 38 48 64 0.252882524808631
+9 0 2 0 0 39 48 64 0.214584036244235
+9 0 2 0 0 40 48 64 0.173967008140792
+9 0 2 0 0 41 48 64 0.131434509170246
+9 0 2 0 0 42 48 64 0.0875877416085126
+9 0 2 0 0 43 48 64 0.0426272774952725
+9 0 2 0 0 44 48 64 -0.00307270470850814
+9 0 2 0 0 45 48 64 -0.0485112621998974
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0.431790493764246
+10 0 2 0 0 28 48 64 0.434767633919014
+10 0 2 0 0 29 48 64 0.432745568959535
+10 0 2 0 0 30 48 64 0.426175191604891
+10 0 2 0 0 31 48 64 0.415230372525705
+10 0 2 0 0 32 48 64 0.399515972420748
+10 0 2 0 0 33 48 64 0.379553593855065
+10 0 2 0 0 34 48 64 0.355368630971205
+10 0 2 0 0 35 48 64 0.32731204073914
+10 0 2 0 0 36 48 64 0.295662211288235
+10 0 2 0 0 37 48 64 0.260775003851313
+10 0 2 0 0 38 48 64 0.223037478621929
+10 0 2 0 0 39 48 64 0.182858298715126
+10 0 2 0 0 40 48 64 0.140725233342433
+10 0 2 0 0 41 48 64 0.0970223996362531
+10 0 2 0 0 42 48 64 0.0524097270246472
+10 0 2 0 0 43 48 64 0.00700954086728865
+10 0 2 0 0 44 48 64 -0.0388989223585846
+10 0 2 0 0 45 48 64 -0.0839638404447307
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0.212244320883821
+10 0 1 0 0 20 48 64 0.287062795917972
+10 0 1 0 0 22 48 64 0.348423520218175
+10 0 1 0 0 24 48 64 0.394251255165844
+10 0 1 0 0 26 48 64 0.424022388841771
+10 0 1 0 0 28 48 64 0.434767633919014
+10 0 1 0 0 30 48 64 0.426175191604891
+10 0 1 0 0 32 48 64 0.399515972420748
+10 0 1 0 0 34 48 64 0.355368630971205
+10 0 1 0 0 36 48 64 0.295662211288235
+10 0 1 0 0 38 48 64 0.223037478621929
+10 0 1 0 0 40 48 64 0.140725233342433
+10 0 1 0 0 42 48 64 0.0524097270246472
+10 0 1 0 0 44 48 64 -0.0388989223585846
+10 0 1 0 0 46 48 64 -0.128045100755805
+10 0 1 0 0 48 48 64 -0.211433749093626
+10 0 1 0 0 50 48 64 -0.285728283735104
+10 0 1 0 0 52 48 64 -0.349528713853188
+10 0 1 0 0 54 48 64 -0.396349827924696
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 0.43469289935829
+11 0 2 0 0 28 48 64 0.433906970883044
+11 0 2 0 0 29 48 64 0.428126386298831
+11 0 2 0 0 30 48 64 0.417879967187048
+11 0 2 0 0 31 48 64 0.403359566675564
+11 0 2 0 0 32 48 64 0.384168162779348
+11 0 2 0 0 33 48 64 0.360938311915024
+11 0 2 0 0 34 48 64 0.33366021308767
+11 0 2 0 0 35 48 64 0.30276379711669
+11 0 2 0 0 36 48 64 0.26853694471596
+11 0 2 0 0 37 48 64 0.231372030055151
+11 0 2 0 0 38 48 64 0.191684385083409
+11 0 2 0 0 39 48 64 0.149896259434438
+11 0 2 0 0 40 48 64 0.106536429933995
+11 0 2 0 0 41 48 64 0.0619529033342201
+11 0 2 0 0 42 48 64 0.0168738817225296
+11 0 2 0 0 43 48 64 -0.0286682371224603
+11 0 2 0 0 44 48 64 -0.0742314704839083
+11 0 2 0 0 45 48 64 -0.118621478665806
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 0.434686088975731
+12 0 2 0 0 28 48 64 0.430112703605927
+12 0 2 0 0 29 48 64 0.420612272272028
+12 0 2 0 0 30 48 64 0.406766263928929
+12 0 2 0 0 31 48 64 0.388759574345379
+12 0 2 0 0 32 48 64 0.3662214116364
+12 0 2 0 0 33 48 64 0.339881815733634
+12 0 2 0 0 34 48 64 0.309690705507928
+12 0 2 0 0 35 48 64 0.276165246768692
+12 0 2 0 0 36 48 64 0.239591551821094
+12 0 2 0 0 37 48 64 0.200400475697186
+12 0 2 0 0 38 48 64 0.159033857048315
+12 0 2 0 0 39 48 64 0.11591859022218
+12 0 2 0 0 40 48 64 0.0716286855175668
+12 0 2 0 0 41 48 64 0.0264579146027253
+12 0 2 0 0 42 48 64 -0.018783713478881
+12 0 2 0 0 43 48 64 -0.0641699646928951
+12 0 2 0 0 44 48 64 -0.109311014152672
+12 0 2 0 0 45 48 64 -0.152715859705893
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0.273204231463666
+12 0 1 0 0 20 48 64 0.338451529991446
+12 0 1 0 0 22 48 64 0.386740685172405
+12 0 1 0 0 24 48 64 0.418874863572788
+12 0 1 0 0 26 48 64 0.434405690317224
+12 0 1 0 0 28 48 64 0.430112703605927
+12 0 1 0 0 30 48 64 0.406766263928929
+12 0 1 0 0 32 48 64 0.3662214116364
+12 0 1 0 0 34 48 64 0.309690705507928
+12 0 1 0 0 36 48 64 0.239591551821094
+12 0 1 0 0 38 48 64 0.159033857048315
+12 0 1 0 0 40 48 64 0.0716286855175668
+12 0 1 0 0 42 48 64 -0.018783713478881
+12 0 1 0 0 44 48 64 -0.109311014152672
+12 0 1 0 0 46 48 64 -0.194356045439442
+12 0 1 0 0 48 48 64 -0.270743823780805
+12 0 1 0 0 50 48 64 -0.33566176024742
+12 0 1 0 0 52 48 64 -0.389277657685296
+12 0 1 0 0 54 48 64 -0.422543806214431
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -0.410565567330891
+12 0 0 0 0 4 48 64 -0.31242836501202
+12 0 0 0 0 8 48 64 -0.160269949080453
+12 0 0 0 0 12 48 64 0.0195994917971793
+12 0 0 0 0 16 48 64 0.196055572130858
+12 0 0 0 0 20 48 64 0.338451529991446
+12 0 0 0 0 24 48 64 0.418874863572788
+12 0 0 0 0 28 48 64 0.430112703605927
+12 0 0 0 0 32 48 64 0.3662214116364
+12 0 0 0 0 36 48 64 0.239591551821094
+12 0 0 0 0 40 48 64 0.0716286855175668
+12 0 0 0 0 44 48 64 -0.109311014152672
+12 0 0 0 0 48 48 64 -0.270743823780805
+12 0 0 0 0 52 48 64 -0.389277657685296
+12 0 0 0 0 56 48 64 -0.437697078001543
+12 0 0 0 0 60 48 64 -0.410565567330891
+12 0 0 0 0 64 48 64 -0.31242836501202
+12 0 0 0 0 68 48 64 -0.160269949080453
+12 0 0 0 0 72 48 64 0.0195994917971793
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 0.431744712888967
+13 0 2 0 0 28 48 64 0.423428954257859
+13 0 2 0 0 29 48 64 0.410253746253536
+13 0 2 0 0 30 48 64 0.392908122775334
+13 0 2 0 0 31 48 64 0.37152654051524
+13 0 2 0 0 32 48 64 0.345796877844016
+13 0 2 0 0 33 48 64 0.316523823538165
+13 0 2 0 0 34 48 64 0.283619661008409
+13 0 2 0 0 35 48 64 0.247693926382508
+13 0 2 0 0 36 48 64 0.20901926388887
+13 0 2 0 0 37 48 64 0.168067539675316
+13 0 2 0 0 38 48 64 0.125304949164543
+13 0 2 0 0 39 48 64 0.0811520401929853
+13 0 2 0 0 40 48 64 0.036233948326642
+13 0 2 0 0 41 48 64 -0.00922871894071429
+13 0 2 0 0 42 48 64 -0.0543251544263952
+13 0 2 0 0 43 48 64 -0.0992606083259572
+13 0 2 0 0 44 48 64 -0.14342245574997
+13 0 2 0 0 45 48 64 -0.185555210448071
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 0.425872093771338
+14 0 2 0 0 28 48 64 0.413841015448775
+14 0 2 0 0 29 48 64 0.397116367921888
+14 0 2 0 0 30 48 64 0.376396973671367
+14 0 2 0 0 31 48 64 0.351774442969827
+14 0 2 0 0 32 48 64 0.323032680047163
+14 0 2 0 0 33 48 64 0.29101938021344
+14 0 2 0 0 34 48 64 0.255621302677836
+14 0 2 0 0 35 48 64 0.21754012775328
+14 0 2 0 0 36 48 64 0.177024531996661
+14 0 2 0 0 37 48 64 0.134589782277612
+14 0 2 0 0 38 48 64 0.0907238308169727
+14 0 2 0 0 39 48 64 0.045828082883039
+14 0 2 0 0 40 48 64 0.000587086508150376
+14 0 2 0 0 41 48 64 -0.0448721770746427
+14 0 2 0 0 42 48 64 -0.0895117334515002
+14 0 2 0 0 43 48 64 -0.133708182182963
+14 0 2 0 0 44 48 64 -0.176804161147436
+14 0 2 0 0 45 48 64 -0.217368398518699
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0.325463850480568
+14 0 1 0 0 20 48 64 0.379509377595187
+14 0 1 0 0 22 48 64 0.414651076841092
+14 0 1 0 0 24 48 64 0.432219254152459
+14 0 1 0 0 26 48 64 0.433120586120563
+14 0 1 0 0 28 48 64 0.413841015448775
+14 0 1 0 0 30 48 64 0.376396973671367
+14 0 1 0 0 32 48 64 0.323032680047163
+14 0 1 0 0 34 48 64 0.255621302677836
+14 0 1 0 0 36 48 64 0.177024531996661
+14 0 1 0 0 38 48 64 0.0907238308169727
+14 0 1 0 0 40 48 64 0.000587086508150376
+14 0 1 0 0 42 48 64 -0.0895117334515002
+14 0 1 0 0 44 48 64 -0.176804161147436
+14 0 1 0 0 46 48 64 -0.255441932490912
+14 0 1 0 0 48 48 64 -0.322828064452536
+14 0 1 0 0 50 48 64 -0.376699475627783
+14 0 1 0 0 52 48 64 -0.417719557564131
+14 0 1 0 0 54 48 64 -0.436878282706566
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 0.417165312341414
+15 0 2 0 0 28 48 64 0.401510978360074
+15 0 2 0 0 29 48 64 0.381286949216041
+15 0 2 0 0 30 48 64 0.357342624381128
+15 0 2 0 0 31 48 64 0.329634433232424
+15 0 2 0 0 32 48 64 0.298082967889528
+15 0 2 0 0 33 48 64 0.263538151337431
+15 0 2 0 0 34 48 64 0.225883824850679
+15 0 2 0 0 35 48 64 0.185905956018735
+15 0 2 0 0 36 48 64 0.143822080275368
+15 0 2 0 0 37 48 64 0.100191972889086
+15 0 2 0 0 38 48 64 0.0555225130520526
+15 0 2 0 0 39 48 64 0.0101816802711077
+15 0 2 0 0 40 48 64 -0.0350748603746199
+15 0 2 0 0 41 48 64 -0.0802375018611138
+15 0 2 0 0 42 48 64 -0.1241054171134
+15 0 2 0 0 43 48 64 -0.167283229526431
+15 0 2 0 0 44 48 64 -0.20876881126166
+15 0 2 0 0 45 48 64 -0.247500765822712
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 0.405582401660548
+16 0 2 0 0 28 48 64 0.386384812597958
+16 0 2 0 0 29 48 64 0.362867326652729
+16 0 2 0 0 30 48 64 0.335871535108534
+16 0 2 0 0 31 48 64 0.305254020379797
+16 0 2 0 0 32 48 64 0.271116892297903
+16 0 2 0 0 33 48 64 0.234263607835583
+16 0 2 0 0 34 48 64 0.194608520287155
+16 0 2 0 0 35 48 64 0.153004266977856
+16 0 2 0 0 36 48 64 0.109635861952211
+16 0 2 0 0 37 48 64 0.0651058140589195
+16 0 2 0 0 38 48 64 0.0199375914911922
+16 0 2 0 0 39 48 64 -0.0255498856463214
+16 0 2 0 0 40 48 64 -0.070513448318202
+16 0 2 0 0 41 48 64 -0.115090334949476
+16 0 2 0 0 42 48 64 -0.157870236643364
+16 0 2 0 0 43 48 64 -0.199761482881125
+16 0 2 0 0 44 48 64 -0.239545512453778
+16 0 2 0 0 45 48 64 -0.276173411569371
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0.370565637293802
+16 0 1 0 0 20 48 64 0.411688911158841
+16 0 1 0 0 22 48 64 0.431373571659464
+16 0 1 0 0 24 48 64 0.433949641908352
+16 0 1 0 0 26 48 64 0.420201152903132
+16 0 1 0 0 28 48 64 0.386384812597958
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+16 0 1 0 0 32 48 64 0.271116892297903
+16 0 1 0 0 34 48 64 0.194608520287155
+16 0 1 0 0 36 48 64 0.109635861952211
+16 0 1 0 0 38 48 64 0.0199375914911922
+16 0 1 0 0 40 48 64 -0.070513448318202
+16 0 1 0 0 42 48 64 -0.157870236643364
+16 0 1 0 0 44 48 64 -0.239545512453778
+16 0 1 0 0 46 48 64 -0.309668406813121
+16 0 1 0 0 48 48 64 -0.36632822189475
+16 0 1 0 0 50 48 64 -0.407793010675061
+16 0 1 0 0 52 48 64 -0.436003968998967
+16 0 1 0 0 54 48 64 -0.440059138064365
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -0.341015484805846
+16 0 0 0 0 4 48 64 -0.197963326722892
+16 0 0 0 0 8 48 64 -0.0206895262313792
+16 0 0 0 0 12 48 64 0.160152245544902
+16 0 0 0 0 16 48 64 0.313180251951943
+16 0 0 0 0 20 48 64 0.411688911158841
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+16 0 0 0 0 28 48 64 0.386384812597958
+16 0 0 0 0 32 48 64 0.271116892297903
+16 0 0 0 0 36 48 64 0.109635861952211
+16 0 0 0 0 40 48 64 -0.070513448318202
+16 0 0 0 0 44 48 64 -0.239545512453778
+16 0 0 0 0 48 48 64 -0.36632822189475
+16 0 0 0 0 52 48 64 -0.436003968998967
+16 0 0 0 0 56 48 64 -0.425003094521544
+16 0 0 0 0 60 48 64 -0.341015484805846
+16 0 0 0 0 64 48 64 -0.197963326722892
+16 0 0 0 0 68 48 64 -0.0206895262313792
+16 0 0 0 0 72 48 64 0.160152245544902
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 0.39134304272441
+17 0 2 0 0 28 48 64 0.368738061312764
+17 0 2 0 0 29 48 64 0.341980371159684
+17 0 2 0 0 30 48 64 0.312127396603957
+17 0 2 0 0 31 48 64 0.278796165685139
+17 0 2 0 0 32 48 64 0.242317355921034
+17 0 2 0 0 33 48 64 0.203392000371337
+17 0 2 0 0 34 48 64 0.162008612297351
+17 0 2 0 0 35 48 64 0.119057379644057
+17 0 2 0 0 36 48 64 0.0746978142392145
+17 0 2 0 0 37 48 64 0.0295684519114299
+17 0 2 0 0 38 48 64 -0.0157910669659711
+17 0 2 0 0 39 48 64 -0.0611281841988074
+17 0 2 0 0 40 48 64 -0.105489823808469
+17 0 2 0 0 41 48 64 -0.149197699335967
+17 0 2 0 0 42 48 64 -0.190574670552078
+17 0 2 0 0 43 48 64 -0.230922381186913
+17 0 2 0 0 44 48 64 -0.268497054390684
+17 0 2 0 0 45 48 64 -0.302789223238481
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 0.374359012084731
+18 0 2 0 0 28 48 64 0.348478876787713
+18 0 2 0 0 29 48 64 0.318764230760094
+18 0 2 0 0 30 48 64 0.286268970692994
+18 0 2 0 0 31 48 64 0.250438285921286
+18 0 2 0 0 32 48 64 0.211879588068709
+18 0 2 0 0 33 48 64 0.171131067107516
+18 0 2 0 0 34 48 64 0.128307691794098
+18 0 2 0 0 35 48 64 0.084295474438677
+18 0 2 0 0 36 48 64 0.0392463211286308
+18 0 2 0 0 37 48 64 -0.00617928811521711
+18 0 2 0 0 38 48 64 -0.0514217798749837
+18 0 2 0 0 39 48 64 -0.0963148730747388
+18 0 2 0 0 40 48 64 -0.139766160762042
+18 0 2 0 0 41 48 64 -0.182328950460255
+18 0 2 0 0 42 48 64 -0.221993404529099
+18 0 2 0 0 43 48 64 -0.260553247385862
+18 0 2 0 0 44 48 64 -0.295835840516749
+18 0 2 0 0 45 48 64 -0.327552806878809
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0.404719291942541
+18 0 1 0 0 20 48 64 0.432037777584612
+18 0 1 0 0 22 48 64 0.436473688812863
+18 0 1 0 0 24 48 64 0.424052444708008
+18 0 1 0 0 26 48 64 0.395991157203256
+18 0 1 0 0 28 48 64 0.348478876787713
+18 0 1 0 0 30 48 64 0.286268970692994
+18 0 1 0 0 32 48 64 0.211879588068709
+18 0 1 0 0 34 48 64 0.128307691794098
+18 0 1 0 0 36 48 64 0.0392463211286308
+18 0 1 0 0 38 48 64 -0.0514217798749837
+18 0 1 0 0 40 48 64 -0.139766160762042
+18 0 1 0 0 42 48 64 -0.221993404529099
+18 0 1 0 0 44 48 64 -0.295835840516749
+18 0 1 0 0 46 48 64 -0.355600155166712
+18 0 1 0 0 48 48 64 -0.400125011790563
+18 0 1 0 0 50 48 64 -0.428108459216808
+18 0 1 0 0 52 48 64 -0.442257297660652
+18 0 1 0 0 54 48 64 -0.431457305400707
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 0.354966307839996
+19 0 2 0 0 28 48 64 0.325988824939209
+19 0 2 0 0 29 48 64 0.293377251719112
+19 0 2 0 0 30 48 64 0.258470110455077
+19 0 2 0 0 31 48 64 0.220371211714757
+19 0 2 0 0 32 48 64 0.180009481653227
+19 0 2 0 0 33 48 64 0.13769846453543
+19 0 2 0 0 34 48 64 0.0937377145795731
+19 0 2 0 0 35 48 64 0.0489546386973851
+19 0 2 0 0 36 48 64 0.00352433304142839
+19 0 2 0 0 37 48 64 -0.0418949407460513
+19 0 2 0 0 38 48 64 -0.0867127192468313
+19 0 2 0 0 39 48 64 -0.130873047225217
+19 0 2 0 0 40 48 64 -0.17310758108868
+19 0 2 0 0 41 48 64 -0.21425709196197
+19 0 2 0 0 42 48 64 -0.251910373882237
+19 0 2 0 0 43 48 64 -0.288447701840928
+19 0 2 0 0 44 48 64 -0.320996943265514
+19 0 2 0 0 45 48 64 -0.349947857088531
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 0.333035136935545
+20 0 2 0 0 28 48 64 0.301140717128451
+20 0 2 0 0 29 48 64 0.265991967270471
+20 0 2 0 0 30 48 64 0.228917270389827
+20 0 2 0 0 31 48 64 0.188798026696519
+20 0 2 0 0 32 48 64 0.146921833370521
+20 0 2 0 0 33 48 64 0.103319993073167
+20 0 2 0 0 34 48 64 0.0585366010503266
+20 0 2 0 0 35 48 64 0.0132746059869486
+20 0 2 0 0 36 48 64 -0.0322228453468568
+20 0 2 0 0 37 48 64 -0.0773366340282938
+20 0 2 0 0 38 48 64 -0.121423816542102
+20 0 2 0 0 39 48 64 -0.164568717405545
+20 0 2 0 0 40 48 64 -0.205284530724741
+20 0 2 0 0 41 48 64 -0.244760579737884
+20 0 2 0 0 42 48 64 -0.280120392333995
+20 0 2 0 0 43 48 64 -0.314412017139013
+20 0 2 0 0 44 48 64 -0.344168671825799
+20 0 2 0 0 45 48 64 -0.37015040110848
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0.429121571856526
+20 0 1 0 0 20 48 64 0.441540094571765
+20 0 1 0 0 22 48 64 0.429791252849462
+20 0 1 0 0 24 48 64 0.402815901021404
+20 0 1 0 0 26 48 64 0.361131055431191
+20 0 1 0 0 28 48 64 0.301140717128451
+20 0 1 0 0 30 48 64 0.228917270389827
+20 0 1 0 0 32 48 64 0.146921833370521
+20 0 1 0 0 34 48 64 0.0585366010503266
+20 0 1 0 0 36 48 64 -0.0322228453468568
+20 0 1 0 0 38 48 64 -0.121423816542102
+20 0 1 0 0 40 48 64 -0.205284530724741
+20 0 1 0 0 42 48 64 -0.280120392333995
+20 0 1 0 0 44 48 64 -0.344168671825799
+20 0 1 0 0 46 48 64 -0.392039937043213
+20 0 1 0 0 48 48 64 -0.423343710230766
+20 0 1 0 0 50 48 64 -0.437132154082352
+20 0 1 0 0 52 48 64 -0.437104074992237
+20 0 1 0 0 54 48 64 -0.411201648572005
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -0.234954485803384
+20 0 0 0 0 4 48 64 -0.0617960557254878
+20 0 0 0 0 8 48 64 0.121999896650796
+20 0 0 0 0 12 48 64 0.284668319445805
+20 0 0 0 0 16 48 64 0.397776637510147
+20 0 0 0 0 20 48 64 0.441540094571765
+20 0 0 0 0 24 48 64 0.402815901021404
+20 0 0 0 0 28 48 64 0.301140717128451
+20 0 0 0 0 32 48 64 0.146921833370521
+20 0 0 0 0 36 48 64 -0.0322228453468568
+20 0 0 0 0 40 48 64 -0.205284530724741
+20 0 0 0 0 44 48 64 -0.344168671825799
+20 0 0 0 0 48 48 64 -0.423343710230766
+20 0 0 0 0 52 48 64 -0.437104074992237
+20 0 0 0 0 56 48 64 -0.367140549038673
+20 0 0 0 0 60 48 64 -0.234954485803384
+20 0 0 0 0 64 48 64 -0.0617960557254878
+20 0 0 0 0 68 48 64 0.121999896650796
+20 0 0 0 0 72 48 64 0.284668319445805
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 0.309003036179233
+21 0 2 0 0 28 48 64 0.274411583057177
+21 0 2 0 0 29 48 64 0.236798238040089
+21 0 2 0 0 30 48 64 0.19780916016644
+21 0 2 0 0 31 48 64 0.155932754494568
+21 0 2 0 0 32 48 64 0.112838548637857
+21 0 2 0 0 33 48 64 0.0682277283179175
+21 0 2 0 0 34 48 64 0.022945581439328
+21 0 2 0 0 35 48 64 -0.0225036637092533
+21 0 2 0 0 36 48 64 -0.0677500155041685
+21 0 2 0 0 37 48 64 -0.112265355406333
+21 0 2 0 0 38 48 64 -0.15531884775389
+21 0 2 0 0 39 48 64 -0.197172429622631
+21 0 2 0 0 40 48 64 -0.236075356789777
+21 0 2 0 0 41 48 64 -0.273625710710329
+21 0 2 0 0 42 48 64 -0.306432218906413
+21 0 2 0 0 43 48 64 -0.338263495433084
+21 0 2 0 0 44 48 64 -0.364876474386827
+21 0 2 0 0 45 48 64 -0.387744573082834
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 0.282708767327214
+22 0 2 0 0 28 48 64 0.245642412824808
+22 0 2 0 0 29 48 64 0.205996618821947
+22 0 2 0 0 30 48 64 0.165354262120644
+22 0 2 0 0 31 48 64 0.121998781740226
+22 0 2 0 0 32 48 64 0.0779870335068694
+22 0 2 0 0 33 48 64 0.0326581948316943
+22 0 2 0 0 34 48 64 -0.0127934755994524
+22 0 2 0 0 35 48 64 -0.0581403262459008
+22 0 2 0 0 36 48 64 -0.102814638426952
+22 0 2 0 0 37 48 64 -0.146447039028812
+22 0 2 0 0 38 48 64 -0.188167562069166
+22 0 2 0 0 39 48 64 -0.228461029873022
+22 0 2 0 0 40 48 64 -0.265268862208556
+22 0 2 0 0 41 48 64 -0.300649507103266
+22 0 2 0 0 42 48 64 -0.330669453645467
+22 0 2 0 0 43 48 64 -0.359838203100725
+22 0 2 0 0 44 48 64 -0.383278534885523
+22 0 2 0 0 45 48 64 -0.402867304914504
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 0.441489450239795
+22 0 1 0 0 20 48 64 0.438977531893734
+22 0 1 0 0 22 48 64 0.411534861160887
+22 0 1 0 0 24 48 64 0.370834190313155
+22 0 1 0 0 26 48 64 0.316537217292104
+22 0 1 0 0 28 48 64 0.245642412824808
+22 0 1 0 0 30 48 64 0.165354262120644
+22 0 1 0 0 32 48 64 0.0779870335068694
+22 0 1 0 0 34 48 64 -0.0127934755994524
+22 0 1 0 0 36 48 64 -0.102814638426952
+22 0 1 0 0 38 48 64 -0.188167562069166
+22 0 1 0 0 40 48 64 -0.265268862208556
+22 0 1 0 0 42 48 64 -0.330669453645467
+22 0 1 0 0 44 48 64 -0.383278534885523
+22 0 1 0 0 46 48 64 -0.418055603086187
+22 0 1 0 0 48 48 64 -0.435389770023678
+22 0 1 0 0 50 48 64 -0.434594788445937
+22 0 1 0 0 52 48 64 -0.420430740982592
+22 0 1 0 0 54 48 64 -0.380464024657473
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 0.254673107135569
+23 0 2 0 0 28 48 64 0.215392861039694
+23 0 2 0 0 29 48 64 0.17380001765135
+23 0 2 0 0 30 48 64 0.131770403998458
+23 0 2 0 0 31 48 64 0.0872270146809531
+23 0 2 0 0 32 48 64 0.042598850485338
+23 0 2 0 0 33 48 64 -0.0031493215648717
+23 0 2 0 0 34 48 64 -0.0484404569548616
+23 0 2 0 0 35 48 64 -0.0933986381127961
+23 0 2 0 0 36 48 64 -0.137179270829701
+23 0 2 0 0 37 48 64 -0.179654266927552
+23 0 2 0 0 38 48 64 -0.219747665895254
+23 0 2 0 0 39 48 64 -0.258219590745416
+23 0 2 0 0 40 48 64 -0.292666508058862
+23 0 2 0 0 41 48 64 -0.325642874054789
+23 0 2 0 0 42 48 64 -0.352673003086396
+23 0 2 0 0 43 48 64 -0.37898825404383
+23 0 2 0 0 44 48 64 -0.399001903274136
+23 0 2 0 0 45 48 64 -0.41521599983112
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 0.22471460798475
+24 0 2 0 0 28 48 64 0.183476376165719
+24 0 2 0 0 29 48 64 0.140427108501525
+24 0 2 0 0 30 48 64 0.0972825620515073
+24 0 2 0 0 31 48 64 0.0518537898277709
+24 0 2 0 0 32 48 64 0.00690875650120941
+24 0 2 0 0 33 48 64 -0.0389542765491126
+24 0 2 0 0 34 48 64 -0.0837588325941442
+24 0 2 0 0 35 48 64 -0.128046334784961
+24 0 2 0 0 36 48 64 -0.170613647350069
+24 0 2 0 0 37 48 64 -0.211667445614042
+24 0 2 0 0 38 48 64 -0.249846478510366
+24 0 2 0 0 39 48 64 -0.286243494024629
+24 0 2 0 0 40 48 64 -0.318084150236597
+24 0 2 0 0 41 48 64 -0.348433626203445
+24 0 2 0 0 42 48 64 -0.372300886393011
+24 0 2 0 0 43 48 64 -0.395588984743687
+24 0 2 0 0 44 48 64 -0.412170896235248
+24 0 2 0 0 45 48 64 -0.424882775982963
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 0.4425452500337
+24 0 1 0 0 20 48 64 0.424756199626041
+24 0 1 0 0 22 48 64 0.38217622547823
+24 0 1 0 0 24 48 64 0.328969239292402
+24 0 1 0 0 26 48 64 0.263377174349093
+24 0 1 0 0 28 48 64 0.183476376165719
+24 0 1 0 0 30 48 64 0.0972825620515073
+24 0 1 0 0 32 48 64 0.00690875650120941
+24 0 1 0 0 34 48 64 -0.0837588325941442
+24 0 1 0 0 36 48 64 -0.170613647350069
+24 0 1 0 0 38 48 64 -0.249846478510366
+24 0 1 0 0 40 48 64 -0.318084150236597
+24 0 1 0 0 42 48 64 -0.372300886393011
+24 0 1 0 0 44 48 64 -0.412170896235248
+24 0 1 0 0 46 48 64 -0.432995425743506
+24 0 1 0 0 48 48 64 -0.435943918990766
+24 0 1 0 0 50 48 64 -0.420572845312688
+24 0 1 0 0 52 48 64 -0.392275148968761
+24 0 1 0 0 54 48 64 -0.33878530207659
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -0.103465582184932
+24 0 0 0 0 4 48 64 0.0818160617264103
+24 0 0 0 0 8 48 64 0.252779366311182
+24 0 0 0 0 12 48 64 0.379968044853965
+24 0 0 0 0 16 48 64 0.44077700077253
+24 0 0 0 0 20 48 64 0.424756199626041
+24 0 0 0 0 24 48 64 0.328969239292402
+24 0 0 0 0 28 48 64 0.183476376165719
+24 0 0 0 0 32 48 64 0.00690875650120941
+24 0 0 0 0 36 48 64 -0.170613647350069
+24 0 0 0 0 40 48 64 -0.318084150236597
+24 0 0 0 0 44 48 64 -0.412170896235248
+24 0 0 0 0 48 48 64 -0.435943918990766
+24 0 0 0 0 52 48 64 -0.392275148968761
+24 0 0 0 0 56 48 64 -0.270005707332115
+24 0 0 0 0 60 48 64 -0.103465582184932
+24 0 0 0 0 64 48 64 0.0818160617264103
+24 0 0 0 0 68 48 64 0.252779366311182
+24 0 0 0 0 72 48 64 0.379968044853965
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vy.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vy.yl
new file mode 100644
index 000000000..a807badd8
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vy.yl
@@ -0,0 +1,1397 @@
+# HYDROTOY::vy y (vy)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0.347660017183331
+0 0 2 0 0 36 40 64 0.365340600494136
+0 0 2 0 0 36 41 64 0.38115949184838
+0 0 2 0 0 36 42 64 0.395036081801737
+0 0 2 0 0 36 43 64 0.406899658432603
+0 0 2 0 0 36 44 64 0.416689767673843
+0 0 2 0 0 36 45 64 0.424356521372857
+0 0 2 0 0 36 46 64 0.429860851510172
+0 0 2 0 0 36 47 64 0.433174709281113
+0 0 2 0 0 36 48 64 0.434281208026084
+0 0 2 0 0 36 49 64 0.433174709281113
+0 0 2 0 0 36 50 64 0.429860851510172
+0 0 2 0 0 36 51 64 0.424356521372857
+0 0 2 0 0 36 52 64 0.416689767673843
+0 0 2 0 0 36 53 64 0.406899658432603
+0 0 2 0 0 36 54 64 0.395036081801737
+0 0 2 0 0 36 55 64 0.38115949184838
+0 0 2 0 0 36 56 64 0.365340600494136
+0 0 2 0 0 36 57 64 0.347660017183331
+0 0 2 0 0 36 58 64 0.328207838115765
+0 0 2 0 0 36 59 64 0.307083187137129
+0 0 2 0 0 36 60 64 0.284393710626605
+0 0 2 0 0 36 61 64 0.260255028955599
+0 0 2 0 0 36 62 64 0.234790147312825
+0 0 2 0 0 36 63 64 0.208128828898062
+0 0 2 0 0 36 64 64 0.180406933678629
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 -1.99843460817814e-15
+0 0 1 0 0 36 28 64 0.0618046598853572
+0 0 1 0 0 36 30 64 0.122351155125372
+0 0 1 0 0 36 32 64 0.180406933678629
+0 0 1 0 0 36 34 64 0.234790147312825
+0 0 1 0 0 36 36 64 0.284393710626606
+0 0 1 0 0 36 38 64 0.328207838115765
+0 0 1 0 0 36 40 64 0.365340600494136
+0 0 1 0 0 36 42 64 0.395036081801737
+0 0 1 0 0 36 44 64 0.416689767673843
+0 0 1 0 0 36 46 64 0.429860851510172
+0 0 1 0 0 36 48 64 0.434281208026084
+0 0 1 0 0 36 50 64 0.429860851510172
+0 0 1 0 0 36 52 64 0.416689767673843
+0 0 1 0 0 36 54 64 0.395036081801737
+0 0 1 0 0 36 56 64 0.365340600494136
+0 0 1 0 0 36 58 64 0.328207838115765
+0 0 1 0 0 36 60 64 0.284393710626605
+0 0 1 0 0 36 62 64 0.234790147312825
+0 0 1 0 0 36 64 64 0.180406933678629
+0 0 1 0 0 36 66 64 0.122351155125372
+0 0 1 0 0 36 68 64 0.0618046598853571
+0 0 1 0 0 36 70 64 -2.09486440744066e-15
+0 0 1 0 0 36 72 64 -0.0618046598853614
+0 0 1 0 0 36 74 64 -0.122351155125376
+0 0 1 0 0 36 76 64 -0.180406933678633
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -0.416689767673842
+0 0 0 0 0 36 4 64 -0.434281208026084
+0 0 0 0 0 36 8 64 -0.416689767673844
+0 0 0 0 0 36 12 64 -0.365340600494138
+0 0 0 0 0 36 16 64 -0.284393710626609
+0 0 0 0 0 36 20 64 -0.180406933678633
+0 0 0 0 0 36 24 64 -0.0618046598853613
+0 0 0 0 0 36 28 64 0.0618046598853572
+0 0 0 0 0 36 32 64 0.180406933678629
+0 0 0 0 0 36 36 64 0.284393710626606
+0 0 0 0 0 36 40 64 0.365340600494136
+0 0 0 0 0 36 44 64 0.416689767673843
+0 0 0 0 0 36 48 64 0.434281208026084
+0 0 0 0 0 36 52 64 0.416689767673843
+0 0 0 0 0 36 56 64 0.365340600494136
+0 0 0 0 0 36 60 64 0.284393710626605
+0 0 0 0 0 36 64 64 0.180406933678629
+0 0 0 0 0 36 68 64 0.0618046598853571
+0 0 0 0 0 36 72 64 -0.0618046598853614
+0 0 0 0 0 36 76 64 -0.180406933678633
+0 0 0 0 0 36 80 64 -0.284393710626609
+0 0 0 0 0 36 84 64 -0.365340600494138
+0 0 0 0 0 36 88 64 -0.416689767673844
+0 0 0 0 0 36 92 64 -0.434281208026084
+0 0 0 0 0 36 96 64 -0.416689767673842
+0 0 0 0 0 36 100 64 -0.365340600494133
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 0.367813566414569
+1 0 2 0 0 36 40 64 0.38335316623265
+1 0 2 0 0 36 41 64 0.397342643228325
+1 0 2 0 0 36 42 64 0.408522342323331
+1 0 2 0 0 36 43 64 0.417993494850795
+1 0 2 0 0 36 44 64 0.425334648341179
+1 0 2 0 0 36 45 64 0.430508393959041
+1 0 2 0 0 36 46 64 0.43348836748264
+1 0 2 0 0 36 47 64 0.434259383649971
+1 0 2 0 0 36 48 64 0.432817513539377
+1 0 2 0 0 36 49 64 0.429170104590437
+1 0 2 0 0 36 50 64 0.423335743163093
+1 0 2 0 0 36 51 64 0.415344159825823
+1 0 2 0 0 36 52 64 0.40523607785548
+1 0 2 0 0 36 53 64 0.393063005720805
+1 0 2 0 0 36 54 64 0.378886974607078
+1 0 2 0 0 36 55 64 0.362780222319418
+1 0 2 0 0 36 56 64 0.344824825175484
+1 0 2 0 0 36 57 64 0.325112279763378
+1 0 2 0 0 36 58 64 0.303743036695999
+1 0 2 0 0 36 59 64 0.28082598873775
+1 0 2 0 0 36 60 64 0.256477915911969
+1 0 2 0 0 36 61 64 0.230822890416698
+1 0 2 0 0 36 62 64 0.203832180226542
+1 0 2 0 0 36 63 64 0.176215535216047
+1 0 2 0 0 36 64 64 0.147451199170928
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 0.38564729261212
+2 0 2 0 0 36 40 64 0.39892259803025
+2 0 2 0 0 36 41 64 0.410856048779277
+2 0 2 0 0 36 42 64 0.419209424054804
+2 0 2 0 0 36 43 64 0.426276837004168
+2 0 2 0 0 36 44 64 0.431107763331924
+2 0 2 0 0 36 45 64 0.433753525492956
+2 0 2 0 0 36 46 64 0.43418897911328
+2 0 2 0 0 36 47 64 0.43241190522106
+2 0 2 0 0 36 48 64 0.42843135937751
+2 0 2 0 0 36 49 64 0.422267625531826
+2 0 2 0 0 36 50 64 0.413952112658831
+2 0 2 0 0 36 51 64 0.403527194706039
+2 0 2 0 0 36 52 64 0.391045994665734
+2 0 2 0 0 36 53 64 0.376572113872373
+2 0 2 0 0 36 54 64 0.360179307904769
+2 0 2 0 0 36 55 64 0.341951110744567
+2 0 2 0 0 36 56 64 0.321980409106217
+2 0 2 0 0 36 57 64 0.300368969107574
+2 0 2 0 0 36 58 64 0.277226917693087
+2 0 2 0 0 36 59 64 0.25267218145213
+2 0 2 0 0 36 60 64 0.226824902437306
+2 0 2 0 0 36 61 64 0.199815710233799
+2 0 2 0 0 36 62 64 0.171567199068153
+2 0 2 0 0 36 63 64 0.142889103550853
+2 0 2 0 0 36 64 64 0.113265850684095
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 0.0703439898524511
+2 0 1 0 0 36 28 64 0.130653574550449
+2 0 1 0 0 36 30 64 0.189567498607748
+2 0 1 0 0 36 32 64 0.24271998099118
+2 0 1 0 0 36 34 64 0.291509860138235
+2 0 1 0 0 36 36 64 0.334365439177894
+2 0 1 0 0 36 38 64 0.370414302106194
+2 0 1 0 0 36 40 64 0.39892259803025
+2 0 1 0 0 36 42 64 0.419209424054804
+2 0 1 0 0 36 44 64 0.431107763331924
+2 0 1 0 0 36 46 64 0.43418897911328
+2 0 1 0 0 36 48 64 0.42843135937751
+2 0 1 0 0 36 50 64 0.413952112658831
+2 0 1 0 0 36 52 64 0.391045994665734
+2 0 1 0 0 36 54 64 0.360179307904769
+2 0 1 0 0 36 56 64 0.321980409106217
+2 0 1 0 0 36 58 64 0.277226917693087
+2 0 1 0 0 36 60 64 0.226824902437306
+2 0 1 0 0 36 62 64 0.171567199068153
+2 0 1 0 0 36 64 64 0.113265850684095
+2 0 1 0 0 36 66 64 0.0524389356134676
+2 0 1 0 0 36 68 64 -0.00945548496484734
+2 0 1 0 0 36 70 64 -0.0711574191366449
+2 0 1 0 0 36 72 64 -0.13061642591382
+2 0 1 0 0 36 74 64 -0.188263370629632
+2 0 1 0 0 36 76 64 -0.242098398209849
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0.400750008105905
+3 0 2 0 0 36 40 64 0.411674290743992
+3 0 2 0 0 36 41 64 0.421577318046452
+3 0 2 0 0 36 42 64 0.427034830854303
+3 0 2 0 0 36 43 64 0.431717924444678
+3 0 2 0 0 36 44 64 0.433967606541536
+3 0 2 0 0 36 45 64 0.434070353323866
+3 0 2 0 0 36 46 64 0.431957926347435
+3 0 2 0 0 36 47 64 0.427644705234967
+3 0 2 0 0 36 48 64 0.421152304729559
+3 0 2 0 0 36 49 64 0.412513808615993
+3 0 2 0 0 36 50 64 0.401773236690344
+3 0 2 0 0 36 51 64 0.388985320445186
+3 0 2 0 0 36 52 64 0.374215224170453
+3 0 2 0 0 36 53 64 0.35753821289115
+3 0 2 0 0 36 54 64 0.339039268834044
+3 0 2 0 0 36 55 64 0.318812658377712
+3 0 2 0 0 36 56 64 0.296961451692688
+3 0 2 0 0 36 57 64 0.273596997519492
+3 0 2 0 0 36 58 64 0.248838200034265
+3 0 2 0 0 36 59 64 0.222810597954575
+3 0 2 0 0 36 60 64 0.195629894806635
+3 0 2 0 0 36 61 64 0.167440161568292
+3 0 2 0 0 36 62 64 0.138197483293815
+3 0 2 0 0 36 63 64 0.108721691823289
+3 0 2 0 0 36 64 64 0.0785844232104171
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0.413245078430099
+4 0 2 0 0 36 40 64 0.421733112754857
+4 0 2 0 0 36 41 64 0.429413743962827
+4 0 2 0 0 36 42 64 0.431952035799124
+4 0 2 0 0 36 43 64 0.434296463058281
+4 0 2 0 0 36 44 64 0.433890386108
+4 0 2 0 0 36 45 64 0.431459297243664
+4 0 2 0 0 36 46 64 0.426810110635343
+4 0 2 0 0 36 47 64 0.419989925125791
+4 0 2 0 0 36 48 64 0.411029426828164
+4 0 2 0 0 36 49 64 0.399974428176639
+4 0 2 0 0 36 50 64 0.386881251521467
+4 0 2 0 0 36 51 64 0.371816616689659
+4 0 2 0 0 36 52 64 0.354857289607193
+4 0 2 0 0 36 53 64 0.336089691117457
+4 0 2 0 0 36 54 64 0.315609456600436
+4 0 2 0 0 36 55 64 0.293520948636738
+4 0 2 0 0 36 56 64 0.269936720333349
+4 0 2 0 0 36 57 64 0.244976913416123
+4 0 2 0 0 36 58 64 0.218767557936851
+4 0 2 0 0 36 59 64 0.191440732789211
+4 0 2 0 0 36 60 64 0.16310098433278
+4 0 2 0 0 36 61 64 0.133921913112964
+4 0 2 0 0 36 62 64 0.103950266330042
+4 0 2 0 0 36 63 64 0.0737709116299035
+4 0 2 0 0 36 64 64 0.0431624050857985
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0.14084446143139
+4 0 1 0 0 36 28 64 0.198027091420972
+4 0 1 0 0 36 30 64 0.252179375696328
+4 0 1 0 0 36 32 64 0.298437297091646
+4 0 1 0 0 36 34 64 0.340409197119966
+4 0 1 0 0 36 36 64 0.375342390722267
+4 0 1 0 0 36 38 64 0.402649630629678
+4 0 1 0 0 36 40 64 0.421733112754857
+4 0 1 0 0 36 42 64 0.431952035799124
+4 0 1 0 0 36 44 64 0.433890386108
+4 0 1 0 0 36 46 64 0.426810110635343
+4 0 1 0 0 36 48 64 0.411029426828164
+4 0 1 0 0 36 50 64 0.386881251521467
+4 0 1 0 0 36 52 64 0.354857289607193
+4 0 1 0 0 36 54 64 0.315609456600436
+4 0 1 0 0 36 56 64 0.269936720333349
+4 0 1 0 0 36 58 64 0.218767557936851
+4 0 1 0 0 36 60 64 0.16310098433278
+4 0 1 0 0 36 62 64 0.103950266330042
+4 0 1 0 0 36 64 64 0.0431624050857985
+4 0 1 0 0 36 66 64 -0.018911292556989
+4 0 1 0 0 36 68 64 -0.080454840255729
+4 0 1 0 0 36 70 64 -0.140320055798339
+4 0 1 0 0 36 72 64 -0.195484673423327
+4 0 1 0 0 36 74 64 -0.251117745439173
+4 0 1 0 0 36 76 64 -0.29917337139087
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 -0.434734210686685
+4 0 0 0 0 36 4 64 -0.411725364080886
+4 0 0 0 0 36 8 64 -0.355360977102279
+4 0 0 0 0 36 12 64 -0.270207357171949
+4 0 0 0 0 36 16 64 -0.163163144148577
+4 0 0 0 0 36 20 64 -0.0429004235548697
+4 0 0 0 0 36 24 64 0.0808378342166104
+4 0 0 0 0 36 28 64 0.198027091420972
+4 0 0 0 0 36 32 64 0.298437297091646
+4 0 0 0 0 36 36 64 0.375342390722267
+4 0 0 0 0 36 40 64 0.421733112754857
+4 0 0 0 0 36 44 64 0.433890386108
+4 0 0 0 0 36 48 64 0.411029426828164
+4 0 0 0 0 36 52 64 0.354857289607193
+4 0 0 0 0 36 56 64 0.269936720333349
+4 0 0 0 0 36 60 64 0.16310098433278
+4 0 0 0 0 36 64 64 0.0431624050857985
+4 0 0 0 0 36 68 64 -0.080454840255729
+4 0 0 0 0 36 72 64 -0.195484673423327
+4 0 0 0 0 36 76 64 -0.29917337139087
+4 0 0 0 0 36 80 64 -0.376082404063224
+4 0 0 0 0 36 84 64 -0.422523477006553
+4 0 0 0 0 36 88 64 -0.434734210686685
+4 0 0 0 0 36 92 64 -0.411725364080886
+4 0 0 0 0 36 96 64 -0.355360977102279
+4 0 0 0 0 36 100 64 -0.270207357171949
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0.422855058898574
+5 0 2 0 0 36 40 64 0.428829635769532
+5 0 2 0 0 36 41 64 0.434290083068698
+5 0 2 0 0 36 42 64 0.433942267254891
+5 0 2 0 0 36 43 64 0.434003855671127
+5 0 2 0 0 36 44 64 0.430871472205293
+5 0 2 0 0 36 45 64 0.425943574307487
+5 0 2 0 0 36 46 64 0.418779711258063
+5 0 2 0 0 36 47 64 0.409499338216268
+5 0 2 0 0 36 48 64 0.398130985176334
+5 0 2 0 0 36 49 64 0.384734053194433
+5 0 2 0 0 36 50 64 0.369376599066006
+5 0 2 0 0 36 51 64 0.352136886813233
+5 0 2 0 0 36 52 64 0.333102765702384
+5 0 2 0 0 36 53 64 0.312371229251342
+5 0 2 0 0 36 54 64 0.290047920466038
+5 0 2 0 0 36 55 64 0.26624659204146
+5 0 2 0 0 36 56 64 0.241088464426799
+5 0 2 0 0 36 57 64 0.21470156609071
+5 0 2 0 0 36 58 64 0.187216292562911
+5 0 2 0 0 36 59 64 0.158771759137
+5 0 2 0 0 36 60 64 0.129462394101565
+5 0 2 0 0 36 61 64 0.099492948799418
+5 0 2 0 0 36 62 64 0.0690574414358041
+5 0 2 0 0 36 63 64 0.0385213455499006
+5 0 2 0 0 36 64 64 0.00769890270701742
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0.429645899862006
+6 0 2 0 0 36 40 64 0.433053669219121
+6 0 2 0 0 36 41 64 0.436172727245
+6 0 2 0 0 36 42 64 0.433000215464868
+6 0 2 0 0 36 43 64 0.430837684058897
+6 0 2 0 0 36 44 64 0.424926812744102
+6 0 2 0 0 36 45 64 0.417568940283446
+6 0 2 0 0 36 46 64 0.407919678872793
+6 0 2 0 0 36 47 64 0.396244326340379
+6 0 2 0 0 36 48 64 0.382543933581744
+6 0 2 0 0 36 49 64 0.366895484841289
+6 0 2 0 0 36 50 64 0.349377349716012
+6 0 2 0 0 36 51 64 0.330078877405021
+6 0 2 0 0 36 52 64 0.309098398582461
+6 0 2 0 0 36 53 64 0.286542825099867
+6 0 2 0 0 36 54 64 0.262527091714485
+6 0 2 0 0 36 55 64 0.237173564341173
+6 0 2 0 0 36 56 64 0.210611095919684
+6 0 2 0 0 36 57 64 0.182974666635288
+6 0 2 0 0 36 58 64 0.154395466905076
+6 0 2 0 0 36 59 64 0.125022001716644
+6 0 2 0 0 36 60 64 0.0949484625110372
+6 0 2 0 0 36 61 64 0.0644042373712699
+6 0 2 0 0 36 62 64 0.0337473408762937
+6 0 2 0 0 36 63 64 0.00283374446471012
+6 0 2 0 0 36 64 64 -0.0280391193915189
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0.205916837449536
+6 0 1 0 0 36 28 64 0.258465400073283
+6 0 1 0 0 36 30 64 0.308390677347601
+6 0 1 0 0 36 32 64 0.346120033028418
+6 0 1 0 0 36 34 64 0.380244786170709
+6 0 1 0 0 36 36 64 0.4062168645141
+6 0 1 0 0 36 38 64 0.424036056254411
+6 0 1 0 0 36 40 64 0.433053669219121
+6 0 1 0 0 36 42 64 0.433000215464868
+6 0 1 0 0 36 44 64 0.424926812744102
+6 0 1 0 0 36 46 64 0.407919678872793
+6 0 1 0 0 36 48 64 0.382543933581744
+6 0 1 0 0 36 50 64 0.349377349716012
+6 0 1 0 0 36 52 64 0.309098398582461
+6 0 1 0 0 36 54 64 0.262527091714485
+6 0 1 0 0 36 56 64 0.210611095919684
+6 0 1 0 0 36 58 64 0.154395466905076
+6 0 1 0 0 36 60 64 0.0949484625110372
+6 0 1 0 0 36 62 64 0.0337473408762937
+6 0 1 0 0 36 64 64 -0.0280391193915189
+6 0 1 0 0 36 66 64 -0.0897817949364614
+6 0 1 0 0 36 68 64 -0.149198102147098
+6 0 1 0 0 36 70 64 -0.205693198483574
+6 0 1 0 0 36 72 64 -0.254907327426771
+6 0 1 0 0 36 74 64 -0.303973155219985
+6 0 1 0 0 36 76 64 -0.346696931649922
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 0.433478818475239
+7 0 2 0 0 36 40 64 0.434273355127741
+7 0 2 0 0 36 41 64 0.435044303382679
+7 0 2 0 0 36 42 64 0.429140832239875
+7 0 2 0 0 36 43 64 0.424805336525447
+7 0 2 0 0 36 44 64 0.416094117740989
+7 0 2 0 0 36 45 64 0.406402053108739
+7 0 2 0 0 36 46 64 0.394301226618114
+7 0 2 0 0 36 47 64 0.38031586617016
+7 0 2 0 0 36 48 64 0.364373268176164
+7 0 2 0 0 36 49 64 0.346579098833632
+7 0 2 0 0 36 50 64 0.327018406462887
+7 0 2 0 0 36 51 64 0.305791386022378
+7 0 2 0 0 36 52 64 0.283006119033189
+7 0 2 0 0 36 53 64 0.258778717181862
+7 0 2 0 0 36 54 64 0.233232613736268
+7 0 2 0 0 36 55 64 0.206497940329559
+7 0 2 0 0 36 56 64 0.178709786144474
+7 0 2 0 0 36 57 64 0.150009343439902
+7 0 2 0 0 36 58 64 0.12052519895749
+7 0 2 0 0 36 59 64 0.0904186703963865
+7 0 2 0 0 36 60 64 0.0598047081974233
+7 0 2 0 0 36 61 64 0.0288983762951675
+7 0 2 0 0 36 62 64 -0.00174530686518302
+7 0 2 0 0 36 63 64 -0.0325740921387936
+7 0 2 0 0 36 64 64 -0.0633515268610455
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 0.434372840272355
+8 0 2 0 0 36 40 64 0.432532646154021
+8 0 2 0 0 36 41 64 0.430927570611667
+8 0 2 0 0 36 42 64 0.422391724630785
+8 0 2 0 0 36 43 64 0.41592422891748
+8 0 2 0 0 36 44 64 0.404433247055529
+8 0 2 0 0 36 45 64 0.392527854082446
+8 0 2 0 0 36 46 64 0.378013440941589
+8 0 2 0 0 36 47 64 0.361824387926251
+8 0 2 0 0 36 48 64 0.343741214330307
+8 0 2 0 0 36 49 64 0.323922125276627
+8 0 2 0 0 36 50 64 0.302450594342216
+8 0 2 0 0 36 51 64 0.279438267762097
+8 0 2 0 0 36 52 64 0.255001958231656
+8 0 2 0 0 36 53 64 0.229266216250783
+8 0 2 0 0 36 54 64 0.202362076426732
+8 0 2 0 0 36 55 64 0.174426533651767
+8 0 2 0 0 36 56 64 0.145599056062501
+8 0 2 0 0 36 57 64 0.116026780087761
+8 0 2 0 0 36 58 64 0.0858341736116989
+8 0 2 0 0 36 59 64 0.0551971706071003
+8 0 2 0 0 36 60 64 0.0242795178040284
+8 0 2 0 0 36 61 64 -0.00676388477716365
+8 0 2 0 0 36 62 64 -0.0371959087893544
+8 0 2 0 0 36 63 64 -0.0680604874485249
+8 0 2 0 0 36 64 64 -0.0984716978178172
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0.267330634381912
+8 0 1 0 0 36 28 64 0.313788437315263
+8 0 1 0 0 36 30 64 0.356530095967397
+8 0 1 0 0 36 32 64 0.384450277333466
+8 0 1 0 0 36 34 64 0.410000319025514
+8 0 1 0 0 36 36 64 0.426141158566491
+8 0 1 0 0 36 38 64 0.433986680467815
+8 0 1 0 0 36 40 64 0.432532646154021
+8 0 1 0 0 36 42 64 0.422391724630785
+8 0 1 0 0 36 44 64 0.404433247055529
+8 0 1 0 0 36 46 64 0.378013440941589
+8 0 1 0 0 36 48 64 0.343741214330307
+8 0 1 0 0 36 50 64 0.302450594342216
+8 0 1 0 0 36 52 64 0.255001958231656
+8 0 1 0 0 36 54 64 0.202362076426732
+8 0 1 0 0 36 56 64 0.145599056062501
+8 0 1 0 0 36 58 64 0.0858341736116989
+8 0 1 0 0 36 60 64 0.0242795178040284
+8 0 1 0 0 36 62 64 -0.0371959087893544
+8 0 1 0 0 36 64 64 -0.0984716978178172
+8 0 1 0 0 36 66 64 -0.158245723655572
+8 0 1 0 0 36 68 64 -0.213769972707794
+8 0 1 0 0 36 70 64 -0.26539076924557
+8 0 1 0 0 36 72 64 -0.307466275409382
+8 0 1 0 0 36 74 64 -0.351949337613331
+8 0 1 0 0 36 76 64 -0.386314052844263
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 -0.406533838434933
+8 0 0 0 0 36 4 64 -0.345214503330214
+8 0 0 0 0 36 8 64 -0.255927942235384
+8 0 0 0 0 36 12 64 -0.145907621322717
+8 0 0 0 0 36 16 64 -0.0240667326765224
+8 0 0 0 0 36 20 64 0.0997238995207541
+8 0 0 0 0 36 24 64 0.215412492137875
+8 0 0 0 0 36 28 64 0.313788437315263
+8 0 0 0 0 36 32 64 0.384450277333466
+8 0 0 0 0 36 36 64 0.426141158566491
+8 0 0 0 0 36 40 64 0.432532646154021
+8 0 0 0 0 36 44 64 0.404433247055529
+8 0 0 0 0 36 48 64 0.343741214330307
+8 0 0 0 0 36 52 64 0.255001958231656
+8 0 0 0 0 36 56 64 0.145599056062501
+8 0 0 0 0 36 60 64 0.0242795178040284
+8 0 0 0 0 36 64 64 -0.0984716978178172
+8 0 0 0 0 36 68 64 -0.213769972707794
+8 0 0 0 0 36 72 64 -0.307466275409382
+8 0 0 0 0 36 76 64 -0.386314052844263
+8 0 0 0 0 36 80 64 -0.427988662799813
+8 0 0 0 0 36 84 64 -0.434918219699489
+8 0 0 0 0 36 88 64 -0.406533838434933
+8 0 0 0 0 36 92 64 -0.345214503330214
+8 0 0 0 0 36 96 64 -0.255927942235384
+8 0 0 0 0 36 100 64 -0.145907621322717
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 0.432321501168764
+9 0 2 0 0 36 40 64 0.427846303559351
+9 0 2 0 0 36 41 64 0.423858044079535
+9 0 2 0 0 36 42 64 0.412795789556463
+9 0 2 0 0 36 43 64 0.404227572685189
+9 0 2 0 0 36 44 64 0.39002584029396
+9 0 2 0 0 36 45 64 0.376046363886879
+9 0 2 0 0 36 46 64 0.359163037697731
+9 0 2 0 0 36 47 64 0.340899306434881
+9 0 2 0 0 36 48 64 0.32078627833161
+9 0 2 0 0 36 49 64 0.299077894852464
+9 0 2 0 0 36 50 64 0.27583963839014
+9 0 2 0 0 36 51 64 0.251197355273185
+9 0 2 0 0 36 52 64 0.225274875124315
+9 0 2 0 0 36 53 64 0.198204453839694
+9 0 2 0 0 36 54 64 0.170123667184693
+9 0 2 0 0 36 55 64 0.141175464849902
+9 0 2 0 0 36 56 64 0.111501439649974
+9 0 2 0 0 36 57 64 0.0812550203033052
+9 0 2 0 0 36 58 64 0.0505588292519683
+9 0 2 0 0 36 59 64 0.0196000975915147
+9 0 2 0 0 36 60 64 -0.0113746633420454
+9 0 2 0 0 36 61 64 -0.0423443967608772
+9 0 2 0 0 36 62 64 -0.0723715630013384
+9 0 2 0 0 36 63 64 -0.102721353679706
+9 0 2 0 0 36 64 64 -0.13270896780609
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 0.427310338760191
+10 0 2 0 0 36 40 64 0.420209406923267
+10 0 2 0 0 36 41 64 0.413904553885241
+10 0 2 0 0 36 42 64 0.400411763773032
+10 0 2 0 0 36 43 64 0.389768133676166
+10 0 2 0 0 36 44 64 0.372973970404396
+10 0 2 0 0 36 45 64 0.357069633428413
+10 0 2 0 0 36 46 64 0.337874224602926
+10 0 2 0 0 36 47 64 0.317688028605201
+10 0 2 0 0 36 48 64 0.295662211288235
+10 0 2 0 0 36 49 64 0.27221505887446
+10 0 2 0 0 36 50 64 0.247365032885297
+10 0 2 0 0 36 51 64 0.221259310159764
+10 0 2 0 0 36 52 64 0.194025502714529
+10 0 2 0 0 36 53 64 0.165803056191313
+10 0 2 0 0 36 54 64 0.136734759104073
+10 0 2 0 0 36 55 64 0.106968693632465
+10 0 2 0 0 36 56 64 0.0766462727585709
+10 0 2 0 0 36 57 64 0.0459279211053281
+10 0 2 0 0 36 58 64 0.0149423012470356
+10 0 2 0 0 36 59 64 -0.0161245764654625
+10 0 2 0 0 36 60 64 -0.0469110007117029
+10 0 2 0 0 36 61 64 -0.0775883122520762
+10 0 2 0 0 36 62 64 -0.107051260485374
+10 0 2 0 0 36 63 64 -0.137080675490334
+10 0 2 0 0 36 64 64 -0.166293558311113
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0.320086323017277
+10 0 1 0 0 36 28 64 0.359139727516071
+10 0 1 0 0 36 30 64 0.395082582395981
+10 0 1 0 0 36 32 64 0.412477300873572
+10 0 1 0 0 36 34 64 0.428949740074707
+10 0 1 0 0 36 36 64 0.434551155052228
+10 0 1 0 0 36 38 64 0.432231255513113
+10 0 1 0 0 36 40 64 0.420209406923267
+10 0 1 0 0 36 42 64 0.400411763773032
+10 0 1 0 0 36 44 64 0.372973970404396
+10 0 1 0 0 36 46 64 0.337874224602926
+10 0 1 0 0 36 48 64 0.295662211288235
+10 0 1 0 0 36 50 64 0.247365032885297
+10 0 1 0 0 36 52 64 0.194025502714529
+10 0 1 0 0 36 54 64 0.136734759104073
+10 0 1 0 0 36 56 64 0.0766462727585709
+10 0 1 0 0 36 58 64 0.0149423012470356
+10 0 1 0 0 36 60 64 -0.0469110007117029
+10 0 1 0 0 36 62 64 -0.107051260485374
+10 0 1 0 0 36 64 64 -0.166293558311113
+10 0 1 0 0 36 66 64 -0.222421455094509
+10 0 1 0 0 36 68 64 -0.272367323567512
+10 0 1 0 0 36 70 64 -0.317899879344502
+10 0 1 0 0 36 72 64 -0.3518948567857
+10 0 1 0 0 36 74 64 -0.387259110709446
+10 0 1 0 0 36 76 64 -0.414743925264241
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 0.419447640256245
+11 0 2 0 0 36 40 64 0.40977194017754
+11 0 2 0 0 36 41 64 0.40114304408373
+11 0 2 0 0 36 42 64 0.385312683694803
+11 0 2 0 0 36 43 64 0.372622474844027
+11 0 2 0 0 36 44 64 0.353398244150541
+11 0 2 0 0 36 45 64 0.335719478524477
+11 0 2 0 0 36 46 64 0.314288536923753
+11 0 2 0 0 36 47 64 0.292354310559842
+11 0 2 0 0 36 48 64 0.26853694471596
+11 0 2 0 0 36 49 64 0.24351675468482
+11 0 2 0 0 36 50 64 0.21721880593939
+11 0 2 0 0 36 51 64 0.189826424335937
+11 0 2 0 0 36 52 64 0.161464817264576
+11 0 2 0 0 36 53 64 0.132280751554729
+11 0 2 0 0 36 54 64 0.102420465062505
+11 0 2 0 0 36 55 64 0.0720365577105562
+11 0 2 0 0 36 56 64 0.0412686087939055
+11 0 2 0 0 36 57 64 0.0102842219780608
+11 0 2 0 0 36 58 64 -0.0207674309053518
+11 0 2 0 0 36 59 64 -0.0517259432111482
+11 0 2 0 0 36 60 64 -0.0820845709151323
+11 0 2 0 0 36 61 64 -0.112273131966783
+11 0 2 0 0 36 62 64 -0.141008865566358
+11 0 2 0 0 36 63 64 -0.170119946092403
+11 0 2 0 0 36 64 64 -0.198551487521802
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 0.408696265637202
+12 0 2 0 0 36 40 64 0.396483908678247
+12 0 2 0 0 36 41 64 0.385675350422451
+12 0 2 0 0 36 42 64 0.367593246884816
+12 0 2 0 0 36 43 64 0.352894214486911
+12 0 2 0 0 36 44 64 0.331435499466935
+12 0 2 0 0 36 45 64 0.312126446779555
+12 0 2 0 0 36 46 64 0.288564477563604
+12 0 2 0 0 36 47 64 0.26507596973519
+12 0 2 0 0 36 48 64 0.239591551821094
+12 0 2 0 0 36 49 64 0.213179645671059
+12 0 2 0 0 36 50 64 0.185604186855542
+12 0 2 0 0 36 51 64 0.15711138528182
+12 0 2 0 0 36 52 64 0.127812730971522
+12 0 2 0 0 36 53 64 0.0978639197141443
+12 0 2 0 0 36 54 64 0.0674121894728842
+12 0 2 0 0 36 55 64 0.0366143584054066
+12 0 2 0 0 36 56 64 0.00560819727477353
+12 0 2 0 0 36 57 64 -0.0254334443803905
+12 0 2 0 0 36 58 64 -0.0563198087020092
+12 0 2 0 0 36 59 64 -0.0869532433913974
+12 0 2 0 0 36 60 64 -0.116662256590963
+12 0 2 0 0 36 61 64 -0.146159943168716
+12 0 2 0 0 36 62 64 -0.174026040732159
+12 0 2 0 0 36 63 64 -0.202453539026409
+12 0 2 0 0 36 64 64 -0.229707416041852
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0.365697743209768
+12 0 1 0 0 36 28 64 0.396138095885988
+12 0 1 0 0 36 30 64 0.422942766309484
+12 0 1 0 0 36 32 64 0.429427157960137
+12 0 1 0 0 36 34 64 0.436594385013843
+12 0 1 0 0 36 36 64 0.4311885311223
+12 0 1 0 0 36 38 64 0.418830848519607
+12 0 1 0 0 36 40 64 0.396483908678247
+12 0 1 0 0 36 42 64 0.367593246884816
+12 0 1 0 0 36 44 64 0.331435499466935
+12 0 1 0 0 36 46 64 0.288564477563604
+12 0 1 0 0 36 48 64 0.239591551821094
+12 0 1 0 0 36 50 64 0.185604186855542
+12 0 1 0 0 36 52 64 0.127812730971522
+12 0 1 0 0 36 54 64 0.0674121894728842
+12 0 1 0 0 36 56 64 0.00560819727477353
+12 0 1 0 0 36 58 64 -0.0563198087020092
+12 0 1 0 0 36 60 64 -0.116662256590963
+12 0 1 0 0 36 62 64 -0.174026040732159
+12 0 1 0 0 36 64 64 -0.229707416041852
+12 0 1 0 0 36 66 64 -0.28053248065553
+12 0 1 0 0 36 68 64 -0.323416253202879
+12 0 1 0 0 36 70 64 -0.36171501058819
+12 0 1 0 0 36 72 64 -0.387103685512915
+12 0 1 0 0 36 74 64 -0.415645112857639
+12 0 1 0 0 36 76 64 -0.433080152146407
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 -0.334930965820826
+12 0 0 0 0 36 4 64 -0.241629337810503
+12 0 0 0 0 36 8 64 -0.128749855045699
+12 0 0 0 0 36 12 64 -0.00543982472995432
+12 0 0 0 0 36 16 64 0.118310189010964
+12 0 0 0 0 36 20 64 0.232486440235383
+12 0 0 0 0 36 24 64 0.327679381133465
+12 0 0 0 0 36 28 64 0.396138095885988
+12 0 0 0 0 36 32 64 0.429427157960137
+12 0 0 0 0 36 36 64 0.4311885311223
+12 0 0 0 0 36 40 64 0.396483908678247
+12 0 0 0 0 36 44 64 0.331435499466935
+12 0 0 0 0 36 48 64 0.239591551821094
+12 0 0 0 0 36 52 64 0.127812730971522
+12 0 0 0 0 36 56 64 0.00560819727477353
+12 0 0 0 0 36 60 64 -0.116662256590963
+12 0 0 0 0 36 64 64 -0.229707416041852
+12 0 0 0 0 36 68 64 -0.323416253202879
+12 0 0 0 0 36 72 64 -0.387103685512915
+12 0 0 0 0 36 76 64 -0.433080152146407
+12 0 0 0 0 36 80 64 -0.434335366015119
+12 0 0 0 0 36 84 64 -0.401087245060013
+12 0 0 0 0 36 88 64 -0.334930965820826
+12 0 0 0 0 36 92 64 -0.241629337810503
+12 0 0 0 0 36 96 64 -0.128749855045699
+12 0 0 0 0 36 100 64 -0.00543982472995432
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 0.395260794628372
+13 0 2 0 0 36 40 64 0.380607874361732
+13 0 2 0 0 36 41 64 0.367607059638018
+13 0 2 0 0 36 42 64 0.347363135662677
+13 0 2 0 0 36 43 64 0.330713283110544
+13 0 2 0 0 36 44 64 0.307236670928064
+13 0 2 0 0 36 45 64 0.286430237498793
+13 0 2 0 0 36 46 64 0.260876793743097
+13 0 2 0 0 36 47 64 0.236042109875164
+13 0 2 0 0 36 48 64 0.20901926388887
+13 0 2 0 0 36 49 64 0.181412731390146
+13 0 2 0 0 36 50 64 0.152734189062767
+13 0 2 0 0 36 51 64 0.12333600809208
+13 0 2 0 0 36 52 64 0.0932966071476417
+13 0 2 0 0 36 53 64 0.0627850956101566
+13 0 2 0 0 36 54 64 0.0319462046381489
+13 0 2 0 0 36 55 64 0.000941014939286108
+13 0 2 0 0 36 56 64 -0.0300915950067624
+13 0 2 0 0 36 57 64 -0.0609797262544247
+13 0 2 0 0 36 58 64 -0.091464767513337
+13 0 2 0 0 36 59 64 -0.121559310673963
+13 0 2 0 0 36 60 64 -0.150415589953783
+13 0 2 0 0 36 61 64 -0.1790455478672
+13 0 2 0 0 36 62 64 -0.205888513055886
+13 0 2 0 0 36 63 64 -0.233017644464004
+13 0 2 0 0 36 64 64 -0.25911567452684
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 0.379084969476924
+14 0 2 0 0 36 40 64 0.362056316582548
+14 0 2 0 0 36 41 64 0.347065854692692
+14 0 2 0 0 36 42 64 0.324758299998051
+14 0 2 0 0 36 43 64 0.306236510292026
+14 0 2 0 0 36 44 64 0.280965013542393
+14 0 2 0 0 36 45 64 0.258781277352641
+14 0 2 0 0 36 46 64 0.231415272079719
+14 0 2 0 0 36 47 64 0.205450156734808
+14 0 2 0 0 36 48 64 0.177024531996661
+14 0 2 0 0 36 49 64 0.148435812574252
+14 0 2 0 0 36 50 64 0.118830127520427
+14 0 2 0 0 36 51 64 0.0887299200917209
+14 0 2 0 0 36 52 64 0.0581496990264546
+14 0 2 0 0 36 53 64 0.0272814434570535
+14 0 2 0 0 36 54 64 -0.00373773651374605
+14 0 2 0 0 36 55 64 -0.0347422180321576
+14 0 2 0 0 36 56 64 -0.0655850740248212
+14 0 2 0 0 36 57 64 -0.0961081334234368
+14 0 2 0 0 36 58 64 -0.125955882141733
+14 0 2 0 0 36 59 64 -0.15530396870236
+14 0 2 0 0 36 60 64 -0.183130263135407
+14 0 2 0 0 36 61 64 -0.210708788968009
+14 0 2 0 0 36 62 64 -0.236382550121585
+14 0 2 0 0 36 63 64 -0.262470649217438
+14 0 2 0 0 36 64 64 -0.286991486091575
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0.400315736112123
+14 0 1 0 0 36 28 64 0.4212536990514
+14 0 1 0 0 36 30 64 0.439167193825273
+14 0 1 0 0 36 32 64 0.434893473537729
+14 0 1 0 0 36 34 64 0.432722378952266
+14 0 1 0 0 36 36 64 0.416119249279426
+14 0 1 0 0 36 38 64 0.394174071546818
+14 0 1 0 0 36 40 64 0.362056316582548
+14 0 1 0 0 36 42 64 0.324758299998051
+14 0 1 0 0 36 44 64 0.280965013542393
+14 0 1 0 0 36 46 64 0.231415272079719
+14 0 1 0 0 36 48 64 0.177024531996661
+14 0 1 0 0 36 50 64 0.118830127520427
+14 0 1 0 0 36 52 64 0.0581496990264546
+14 0 1 0 0 36 54 64 -0.00373773651374605
+14 0 1 0 0 36 56 64 -0.0655850740248212
+14 0 1 0 0 36 58 64 -0.125955882141733
+14 0 1 0 0 36 60 64 -0.183130263135407
+14 0 1 0 0 36 62 64 -0.236382550121585
+14 0 1 0 0 36 64 64 -0.286991486091575
+14 0 1 0 0 36 66 64 -0.330969874587954
+14 0 1 0 0 36 68 64 -0.365577365668261
+14 0 1 0 0 36 70 64 -0.395791528830777
+14 0 1 0 0 36 72 64 -0.412250347962806
+14 0 1 0 0 36 74 64 -0.430388226258667
+14 0 1 0 0 36 76 64 -0.439604838704215
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 0.360459693037627
+15 0 2 0 0 36 40 64 0.341184608893554
+15 0 2 0 0 36 41 64 0.324184216702234
+15 0 2 0 0 36 42 64 0.299928312421784
+15 0 2 0 0 36 43 64 0.279641675871136
+15 0 2 0 0 36 44 64 0.252794998549324
+15 0 2 0 0 36 45 64 0.229343120987531
+15 0 2 0 0 36 46 64 0.200383033250021
+15 0 2 0 0 36 47 64 0.173503081864189
+15 0 2 0 0 36 48 64 0.143822080275368
+15 0 2 0 0 36 49 64 0.114477519342405
+15 0 2 0 0 36 50 64 0.0841200947581495
+15 0 2 0 0 36 51 64 0.0535291639608645
+15 0 2 0 0 36 52 64 0.0226095201608515
+15 0 2 0 0 36 53 64 -0.00840677771206672
+15 0 2 0 0 36 54 64 -0.0393977624161185
+15 0 2 0 0 36 55 64 -0.0701930114481979
+15 0 2 0 0 36 56 64 -0.100625868527498
+15 0 2 0 0 36 57 64 -0.130573087402919
+15 0 2 0 0 36 58 64 -0.159553850893852
+15 0 2 0 0 36 59 64 -0.187957139765419
+15 0 2 0 0 36 60 64 -0.21459676439251
+15 0 2 0 0 36 61 64 -0.240963815141926
+15 0 2 0 0 36 62 64 -0.265310687819751
+15 0 2 0 0 36 63 64 -0.289732392165219
+15 0 2 0 0 36 64 64 -0.312735995508233
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 0.33930658504727
+16 0 2 0 0 36 40 64 0.317874293443799
+16 0 2 0 0 36 41 64 0.299116853503872
+16 0 2 0 0 36 42 64 0.273049558779635
+16 0 2 0 0 36 43 64 0.251126813227492
+16 0 2 0 0 36 44 64 0.22291179194741
+16 0 2 0 0 36 45 64 0.198294852808321
+16 0 2 0 0 36 46 64 0.167994392439548
+16 0 2 0 0 36 47 64 0.140407195619687
+16 0 2 0 0 36 48 64 0.109635861952211
+16 0 2 0 0 36 49 64 0.0797728715726397
+16 0 2 0 0 36 50 64 0.0488374222728685
+16 0 2 0 0 36 51 64 0.0179746681612826
+16 0 2 0 0 36 52 64 -0.0130838346871138
+16 0 2 0 0 36 53 64 -0.0440377345521383
+16 0 2 0 0 36 54 64 -0.0747912575831165
+16 0 2 0 0 36 55 64 -0.105169272947961
+16 0 2 0 0 36 56 64 -0.13496904234174
+16 0 2 0 0 36 57 64 -0.164132521747891
+16 0 2 0 0 36 58 64 -0.192029457292777
+16 0 2 0 0 36 59 64 -0.219301205284766
+16 0 2 0 0 36 60 64 -0.244619362390793
+16 0 2 0 0 36 61 64 -0.269604460318403
+16 0 2 0 0 36 62 64 -0.292469918324434
+16 0 2 0 0 36 63 64 -0.315511571702025
+16 0 2 0 0 36 64 64 -0.33654882118609
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0.425091380014551
+16 0 1 0 0 36 28 64 0.435663151470178
+16 0 1 0 0 36 30 64 0.443331670888888
+16 0 1 0 0 36 32 64 0.428687573152581
+16 0 1 0 0 36 34 64 0.417359731799212
+16 0 1 0 0 36 36 64 0.389740085010318
+16 0 1 0 0 36 38 64 0.358959670136259
+16 0 1 0 0 36 40 64 0.317874293443799
+16 0 1 0 0 36 42 64 0.273049558779635
+16 0 1 0 0 36 44 64 0.22291179194741
+16 0 1 0 0 36 46 64 0.167994392439548
+16 0 1 0 0 36 48 64 0.109635861952211
+16 0 1 0 0 36 50 64 0.0488374222728685
+16 0 1 0 0 36 52 64 -0.0130838346871138
+16 0 1 0 0 36 54 64 -0.0747912575831165
+16 0 1 0 0 36 56 64 -0.13496904234174
+16 0 1 0 0 36 58 64 -0.192029457292777
+16 0 1 0 0 36 60 64 -0.244619362390793
+16 0 1 0 0 36 62 64 -0.292469918324434
+16 0 1 0 0 36 64 64 -0.33654882118609
+16 0 1 0 0 36 66 64 -0.372349775795953
+16 0 1 0 0 36 68 64 -0.397829513123985
+16 0 1 0 0 36 70 64 -0.419194602298196
+16 0 1 0 0 36 72 64 -0.426675932375059
+16 0 1 0 0 36 74 64 -0.436427911699775
+16 0 1 0 0 36 76 64 -0.43489061653318
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 -0.227324030912732
+16 0 0 0 0 36 4 64 -0.111767751151321
+16 0 0 0 0 36 8 64 0.0128683951627269
+16 0 0 0 0 36 12 64 0.136463206023583
+16 0 0 0 0 36 16 64 0.24899416844826
+16 0 0 0 0 36 20 64 0.341366168102806
+16 0 0 0 0 36 24 64 0.405670634539685
+16 0 0 0 0 36 28 64 0.435663151470178
+16 0 0 0 0 36 32 64 0.428687573152581
+16 0 0 0 0 36 36 64 0.389740085010318
+16 0 0 0 0 36 40 64 0.317874293443799
+16 0 0 0 0 36 44 64 0.22291179194741
+16 0 0 0 0 36 48 64 0.109635861952211
+16 0 0 0 0 36 52 64 -0.0130838346871138
+16 0 0 0 0 36 56 64 -0.13496904234174
+16 0 0 0 0 36 60 64 -0.244619362390793
+16 0 0 0 0 36 64 64 -0.33654882118609
+16 0 0 0 0 36 68 64 -0.397829513123985
+16 0 0 0 0 36 72 64 -0.426675932375059
+16 0 0 0 0 36 76 64 -0.43489061653318
+16 0 0 0 0 36 80 64 -0.394143483070937
+16 0 0 0 0 36 84 64 -0.324470918039926
+16 0 0 0 0 36 88 64 -0.227324030912732
+16 0 0 0 0 36 92 64 -0.111767751151321
+16 0 0 0 0 36 96 64 0.0128683951627269
+16 0 0 0 0 36 100 64 0.136463206023583
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 0.316000742776145
+17 0 2 0 0 36 40 64 0.29256462407521
+17 0 2 0 0 36 41 64 0.272026824015082
+17 0 2 0 0 36 42 64 0.244306961686711
+17 0 2 0 0 36 43 64 0.220901786951846
+17 0 2 0 0 36 44 64 0.191511225800787
+17 0 2 0 0 36 45 64 0.165833088528777
+17 0 2 0 0 36 46 64 0.134472457980416
+17 0 2 0 0 36 47 64 0.106370811318945
+17 0 2 0 0 36 48 64 0.0746978142392145
+17 0 2 0 0 36 49 64 0.0445604314746672
+17 0 2 0 0 36 50 64 0.0132191528373189
+17 0 2 0 0 36 51 64 -0.0176894740134847
+17 0 2 0 0 36 52 64 -0.048689386463374
+17 0 2 0 0 36 53 64 -0.0793695077748062
+17 0 2 0 0 36 54 64 -0.109676310783414
+17 0 2 0 0 36 55 64 -0.139430598869192
+17 0 2 0 0 36 56 64 -0.168373693322737
+17 0 2 0 0 36 57 64 -0.196550883920878
+17 0 2 0 0 36 58 64 -0.223166278527153
+17 0 2 0 0 36 59 64 -0.249132599423903
+17 0 2 0 0 36 60 64 -0.273006878612547
+17 0 2 0 0 36 61 64 -0.296460286809649
+17 0 2 0 0 36 62 64 -0.317683386810327
+17 0 2 0 0 36 63 64 -0.338699800624455
+17 0 2 0 0 36 64 64 -0.357903764597354
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 0.290437392680207
+18 0 2 0 0 36 40 64 0.26510918284048
+18 0 2 0 0 36 41 64 0.243099893468597
+18 0 2 0 0 36 42 64 0.21390917166487
+18 0 2 0 0 36 43 64 0.189189193885477
+18 0 2 0 0 36 44 64 0.158799924617818
+18 0 2 0 0 36 45 64 0.132172813089439
+18 0 2 0 0 36 46 64 0.100046665963641
+18 0 2 0 0 36 47 64 0.071603945384983
+18 0 2 0 0 36 48 64 0.0392463211286308
+18 0 2 0 0 36 49 64 0.00907921507461576
+18 0 2 0 0 36 50 64 -0.0224954560804742
+18 0 2 0 0 36 51 64 -0.0532179670224465
+18 0 2 0 0 36 52 64 -0.0839669441411925
+18 0 2 0 0 36 53 64 -0.114161542775436
+18 0 2 0 0 36 54 64 -0.14381330983234
+18 0 2 0 0 36 55 64 -0.172739952477655
+18 0 2 0 0 36 56 64 -0.200605959900457
+18 0 2 0 0 36 57 64 -0.227602391698592
+18 0 2 0 0 36 58 64 -0.252762417292916
+18 0 2 0 0 36 59 64 -0.277262444786662
+18 0 2 0 0 36 60 64 -0.299580825418749
+18 0 2 0 0 36 61 64 -0.32133901378108
+18 0 2 0 0 36 62 64 -0.340767865469091
+18 0 2 0 0 36 63 64 -0.360096740909948
+18 0 2 0 0 36 64 64 -0.376976225251287
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 0.437715543753259
+18 0 1 0 0 36 28 64 0.437649333871927
+18 0 1 0 0 36 30 64 0.435197842719645
+18 0 1 0 0 36 32 64 0.410958618708142
+18 0 1 0 0 36 34 64 0.390820333194428
+18 0 1 0 0 36 36 64 0.352771899242602
+18 0 1 0 0 36 38 64 0.31416702271844
+18 0 1 0 0 36 40 64 0.26510918284048
+18 0 1 0 0 36 42 64 0.21390917166487
+18 0 1 0 0 36 44 64 0.158799924617818
+18 0 1 0 0 36 46 64 0.100046665963641
+18 0 1 0 0 36 48 64 0.0392463211286308
+18 0 1 0 0 36 50 64 -0.0224954560804742
+18 0 1 0 0 36 52 64 -0.0839669441411925
+18 0 1 0 0 36 54 64 -0.14381330983234
+18 0 1 0 0 36 56 64 -0.200605959900457
+18 0 1 0 0 36 58 64 -0.252762417292916
+18 0 1 0 0 36 60 64 -0.299580825418749
+18 0 1 0 0 36 62 64 -0.340767865469091
+18 0 1 0 0 36 64 64 -0.376976225251287
+18 0 1 0 0 36 66 64 -0.403564016776812
+18 0 1 0 0 36 68 64 -0.419433033393477
+18 0 1 0 0 36 70 64 -0.431443982954578
+18 0 1 0 0 36 72 64 -0.430054545372575
+18 0 1 0 0 36 74 64 -0.429267530630403
+18 0 1 0 0 36 76 64 -0.418889568062777
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 0.263075076615305
+19 0 2 0 0 36 40 64 0.236029410526095
+19 0 2 0 0 36 41 64 0.212532232716649
+19 0 2 0 0 36 42 64 0.182065951720377
+19 0 2 0 0 36 43 64 0.156215956326248
+19 0 2 0 0 36 44 64 0.124995324743285
+19 0 2 0 0 36 45 64 0.097547057353612
+19 0 2 0 0 36 46 64 0.0649504857715557
+19 0 2 0 0 36 47 64 0.0363190468788562
+19 0 2 0 0 36 48 64 0.00352433304142839
+19 0 2 0 0 36 49 64 -0.0264343686997302
+19 0 2 0 0 36 50 64 -0.0580663864842809
+19 0 2 0 0 36 51 64 -0.0883665391494326
+19 0 2 0 0 36 52 64 -0.118678705960154
+19 0 2 0 0 36 53 64 -0.1481760779244
+19 0 2 0 0 36 54 64 -0.176966750953193
+19 0 2 0 0 36 55 64 -0.204865626939937
+19 0 2 0 0 36 56 64 -0.231442255428755
+19 0 2 0 0 36 57 64 -0.257074194143451
+19 0 2 0 0 36 58 64 -0.280631582033121
+19 0 2 0 0 36 59 64 -0.303516446259484
+19 0 2 0 0 36 60 64 -0.324168066858134
+19 0 2 0 0 36 61 64 -0.344088025967752
+19 0 2 0 0 36 62 64 -0.361570203584461
+19 0 2 0 0 36 63 64 -0.378540336971582
+19 0 2 0 0 36 64 64 -0.393339620173648
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 0.233781190842765
+20 0 2 0 0 36 40 64 0.20515149353656
+20 0 2 0 0 36 41 64 0.180539677695616
+20 0 2 0 0 36 42 64 0.149006554262357
+20 0 2 0 0 36 43 64 0.122217004066036
+20 0 2 0 0 36 44 64 0.0903252736294497
+20 0 2 0 0 36 45 64 0.0622049560906578
+20 0 2 0 0 36 46 64 0.0294194676246579
+20 0 2 0 0 36 47 64 0.000732573068101559
+20 0 2 0 0 36 48 64 -0.0322228453468568
+20 0 2 0 0 36 49 64 -0.0617492067936641
+20 0 2 0 0 36 50 64 -0.0932542718054037
+20 0 2 0 0 36 51 64 -0.122894405505454
+20 0 2 0 0 36 52 64 -0.152590749854791
+20 0 2 0 0 36 53 64 -0.181179592750863
+20 0 2 0 0 36 54 64 -0.208907305672015
+20 0 2 0 0 36 55 64 -0.235583499379836
+20 0 2 0 0 36 56 64 -0.26067245370704
+20 0 2 0 0 36 57 64 -0.284769162518272
+20 0 2 0 0 36 58 64 -0.306603054337883
+20 0 2 0 0 36 59 64 -0.327734128297852
+20 0 2 0 0 36 60 64 -0.346607681590669
+20 0 2 0 0 36 61 64 -0.364532754245465
+20 0 2 0 0 36 62 64 -0.379936076596113
+20 0 2 0 0 36 63 64 -0.394959391750905
+20 0 2 0 0 36 64 64 -0.407136143689183
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 0.438923568716591
+20 0 1 0 0 36 28 64 0.427784619346778
+20 0 1 0 0 36 30 64 0.415076348374685
+20 0 1 0 0 36 32 64 0.382114404962842
+20 0 1 0 0 36 34 64 0.353680279734636
+20 0 1 0 0 36 36 64 0.306236172242355
+20 0 1 0 0 36 38 64 0.261021009394695
+20 0 1 0 0 36 40 64 0.20515149353656
+20 0 1 0 0 36 42 64 0.149006554262357
+20 0 1 0 0 36 44 64 0.0903252736294497
+20 0 1 0 0 36 46 64 0.0294194676246579
+20 0 1 0 0 36 48 64 -0.0322228453468568
+20 0 1 0 0 36 50 64 -0.0932542718054037
+20 0 1 0 0 36 52 64 -0.152590749854791
+20 0 1 0 0 36 54 64 -0.208907305672015
+20 0 1 0 0 36 56 64 -0.26067245370704
+20 0 1 0 0 36 58 64 -0.306603054337883
+20 0 1 0 0 36 60 64 -0.346607681590669
+20 0 1 0 0 36 62 64 -0.379936076596113
+20 0 1 0 0 36 64 64 -0.407136143689183
+20 0 1 0 0 36 66 64 -0.423814522330388
+20 0 1 0 0 36 68 64 -0.429971956740233
+20 0 1 0 0 36 70 64 -0.432246689973577
+20 0 1 0 0 36 72 64 -0.422220627802645
+20 0 1 0 0 36 74 64 -0.412445649511087
+20 0 1 0 0 36 76 64 -0.391617665816516
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 -0.094890862056454
+20 0 0 0 0 36 4 64 0.0307809845928025
+20 0 0 0 0 36 8 64 0.154068747108678
+20 0 0 0 0 36 12 64 0.264878272130144
+20 0 0 0 0 36 16 64 0.354192053446309
+20 0 0 0 0 36 20 64 0.414738079320684
+20 0 0 0 0 36 24 64 0.440984554283522
+20 0 0 0 0 36 28 64 0.427784619346778
+20 0 0 0 0 36 32 64 0.382114404962842
+20 0 0 0 0 36 36 64 0.306236172242355
+20 0 0 0 0 36 40 64 0.20515149353656
+20 0 0 0 0 36 44 64 0.0903252736294497
+20 0 0 0 0 36 48 64 -0.0322228453468568
+20 0 0 0 0 36 52 64 -0.152590749854791
+20 0 0 0 0 36 56 64 -0.26067245370704
+20 0 0 0 0 36 60 64 -0.346607681590669
+20 0 0 0 0 36 64 64 -0.407136143689183
+20 0 0 0 0 36 68 64 -0.429971956740233
+20 0 0 0 0 36 72 64 -0.422220627802645
+20 0 0 0 0 36 76 64 -0.391617665816516
+20 0 0 0 0 36 80 64 -0.311458660209474
+20 0 0 0 0 36 84 64 -0.213069775344911
+20 0 0 0 0 36 88 64 -0.094890862056454
+20 0 0 0 0 36 92 64 0.0307809845928025
+20 0 0 0 0 36 96 64 0.154068747108678
+20 0 0 0 0 36 100 64 0.264878272130144
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 0.203091256356989
+21 0 2 0 0 36 40 64 0.173074196799605
+21 0 2 0 0 36 41 64 0.147346762844465
+21 0 2 0 0 36 42 64 0.114953970330314
+21 0 2 0 0 36 43 64 0.0874270699659643
+21 0 2 0 0 36 44 64 0.0550270431171146
+21 0 2 0 0 36 45 64 0.0264085759274269
+21 0 2 0 0 36 46 64 -0.00631021948917585
+21 0 2 0 0 36 47 64 -0.0349329434514331
+21 0 2 0 0 36 48 64 -0.0677500155041685
+21 0 2 0 0 36 49 64 -0.0966414259107335
+21 0 2 0 0 36 50 64 -0.127821779533446
+21 0 2 0 0 36 51 64 -0.156566877355865
+21 0 2 0 0 36 52 64 -0.185474393137036
+21 0 2 0 0 36 53 64 -0.212944344938184
+21 0 2 0 0 36 54 64 -0.239414141764173
+21 0 2 0 0 36 55 64 -0.264679519417985
+21 0 2 0 0 36 56 64 -0.288102689056526
+21 0 2 0 0 36 57 64 -0.310507922996571
+21 0 2 0 0 36 58 64 -0.330520940122539
+21 0 2 0 0 36 59 64 -0.349767731164821
+21 0 2 0 0 36 60 64 -0.366746090048961
+21 0 2 0 0 36 61 64 -0.382544973507294
+21 0 2 0 0 36 62 64 -0.395740443582679
+21 0 2 0 0 36 63 64 -0.408127434002801
+21 0 2 0 0 36 64 64 -0.418061135299103
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 0.170846391532457
+22 0 2 0 0 36 40 64 0.139597932005986
+22 0 2 0 0 36 41 64 0.113190353788429
+22 0 2 0 0 36 42 64 0.0801470932337271
+22 0 2 0 0 36 43 64 0.0520862950053709
+22 0 2 0 0 36 44 64 0.0193456224634833
+22 0 2 0 0 36 45 64 -0.00957177986647998
+22 0 2 0 0 36 46 64 -0.0420027311618533
+22 0 2 0 0 36 47 64 -0.0704468463532279
+22 0 2 0 0 36 48 64 -0.102814638426952
+22 0 2 0 0 36 49 64 -0.130895256980618
+22 0 2 0 0 36 50 64 -0.161534989710577
+22 0 2 0 0 36 51 64 -0.189157956709252
+22 0 2 0 0 36 52 64 -0.217107433372312
+22 0 2 0 0 36 53 64 -0.243250082763068
+22 0 2 0 0 36 54 64 -0.268277430943818
+22 0 2 0 0 36 55 64 -0.291952305478566
+22 0 2 0 0 36 56 64 -0.313557409545062
+22 0 2 0 0 36 57 64 -0.33412993096264
+22 0 2 0 0 36 58 64 -0.352242579913134
+22 0 2 0 0 36 59 64 -0.369480955874834
+22 0 2 0 0 36 60 64 -0.384442862348077
+22 0 2 0 0 36 61 64 -0.397975282185172
+22 0 2 0 0 36 62 64 -0.408864720155674
+22 0 2 0 0 36 63 64 -0.419114517807639
+22 0 2 0 0 36 64 64 -0.426216148503005
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 0.428141143987063
+22 0 1 0 0 36 28 64 0.406386966844606
+22 0 1 0 0 36 30 64 0.383446961096722
+22 0 1 0 0 36 32 64 0.342858885173416
+22 0 1 0 0 36 34 64 0.306807134995947
+22 0 1 0 0 36 36 64 0.251420157254741
+22 0 1 0 0 36 38 64 0.200952064821515
+22 0 1 0 0 36 40 64 0.139597932005986
+22 0 1 0 0 36 42 64 0.0801470932337271
+22 0 1 0 0 36 44 64 0.0193456224634833
+22 0 1 0 0 36 46 64 -0.0420027311618533
+22 0 1 0 0 36 48 64 -0.102814638426952
+22 0 1 0 0 36 50 64 -0.161534989710577
+22 0 1 0 0 36 52 64 -0.217107433372312
+22 0 1 0 0 36 54 64 -0.268277430943818
+22 0 1 0 0 36 56 64 -0.313557409545062
+22 0 1 0 0 36 58 64 -0.352242579913134
+22 0 1 0 0 36 60 64 -0.384442862348077
+22 0 1 0 0 36 62 64 -0.408864720155674
+22 0 1 0 0 36 64 64 -0.426216148503005
+22 0 1 0 0 36 66 64 -0.432634041462551
+22 0 1 0 0 36 68 64 -0.429292892018297
+22 0 1 0 0 36 70 64 -0.421700564683372
+22 0 1 0 0 36 72 64 -0.403422775289641
+22 0 1 0 0 36 74 64 -0.383931761486946
+22 0 1 0 0 36 76 64 -0.354696985428402
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 0.137646806596271
+23 0 2 0 0 36 40 64 0.105383960291136
+23 0 2 0 0 36 41 64 0.0783115665256184
+23 0 2 0 0 36 42 64 0.0448126401298092
+23 0 2 0 0 36 43 64 0.0164314665615862
+23 0 2 0 0 36 44 64 -0.0164687369059106
+23 0 2 0 0 36 45 64 -0.0454631311792923
+23 0 2 0 0 36 46 64 -0.0774229950647567
+23 0 2 0 0 36 47 64 -0.105568964667222
+23 0 2 0 0 36 48 64 -0.137179270829701
+23 0 2 0 0 36 49 64 -0.164302606728185
+23 0 2 0 0 36 50 64 -0.194164804059769
+23 0 2 0 0 36 51 64 -0.220452691772051
+23 0 2 0 0 36 52 64 -0.247275321125827
+23 0 2 0 0 36 53 64 -0.27188601764302
+23 0 2 0 0 36 54 64 -0.295300900720013
+23 0 2 0 0 36 55 64 -0.317215664131767
+23 0 2 0 0 36 56 64 -0.336880367621778
+23 0 2 0 0 36 57 64 -0.355493364882442
+23 0 2 0 0 36 58 64 -0.371636698895632
+23 0 2 0 0 36 59 64 -0.386747914158686
+23 0 2 0 0 36 60 64 -0.399568214505137
+23 0 2 0 0 36 61 64 -0.410727804588891
+23 0 2 0 0 36 62 64 -0.419218756035739
+23 0 2 0 0 36 63 64 -0.426642249401669
+23 0 2 0 0 36 64 64 -0.43143045349846
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 0.103308431634272
+24 0 2 0 0 36 40 64 0.0702118612765766
+24 0 2 0 0 36 41 64 0.0429545037457622
+24 0 2 0 0 36 42 64 0.00919079051279049
+24 0 2 0 0 36 43 64 -0.0192971829009936
+24 0 2 0 0 36 44 64 -0.0521636742785657
+24 0 2 0 0 36 45 64 -0.0809962992981119
+24 0 2 0 0 36 46 64 -0.112336843091001
+24 0 2 0 0 36 47 64 -0.140049584442482
+24 0 2 0 0 36 48 64 -0.170613647350069
+24 0 2 0 0 36 49 64 -0.196661333374275
+24 0 2 0 0 36 50 64 -0.22548842419816
+24 0 2 0 0 36 51 64 -0.250249030126683
+24 0 2 0 0 36 52 64 -0.275772351281318
+24 0 2 0 0 36 53 64 -0.298653109315406
+24 0 2 0 0 36 54 64 -0.320304214307567
+24 0 2 0 0 36 55 64 -0.340300805452524
+24 0 2 0 0 36 56 64 -0.357934348979451
+24 0 2 0 0 36 57 64 -0.374473914696896
+24 0 2 0 0 36 58 64 -0.388581555902285
+24 0 2 0 0 36 59 64 -0.401452487053308
+24 0 2 0 0 36 60 64 -0.41200852817173
+24 0 2 0 0 36 61 64 -0.420686736958015
+24 0 2 0 0 36 62 64 -0.426723517989053
+24 0 2 0 0 36 63 64 -0.431906879528236
+24 0 2 0 0 36 64 64 -0.433760960219611
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 0.405658256100884
+24 0 1 0 0 36 28 64 0.373350390048786
+24 0 1 0 0 36 30 64 0.341293225210835
+24 0 1 0 0 36 32 64 0.294192068074441
+24 0 1 0 0 36 34 64 0.251347692584009
+24 0 1 0 0 36 36 64 0.189830674569251
+24 0 1 0 0 36 38 64 0.135553108981697
+24 0 1 0 0 36 40 64 0.0702118612765766
+24 0 1 0 0 36 42 64 0.00919079051279049
+24 0 1 0 0 36 44 64 -0.0521636742785657
+24 0 1 0 0 36 46 64 -0.112336843091001
+24 0 1 0 0 36 48 64 -0.170613647350069
+24 0 1 0 0 36 50 64 -0.22548842419816
+24 0 1 0 0 36 52 64 -0.275772351281318
+24 0 1 0 0 36 54 64 -0.320304214307567
+24 0 1 0 0 36 56 64 -0.357934348979451
+24 0 1 0 0 36 58 64 -0.388581555902285
+24 0 1 0 0 36 60 64 -0.41200852817173
+24 0 1 0 0 36 62 64 -0.426723517989053
+24 0 1 0 0 36 64 64 -0.433760960219611
+24 0 1 0 0 36 66 64 -0.429887139060718
+24 0 1 0 0 36 68 64 -0.417521672201071
+24 0 1 0 0 36 70 64 -0.400131804572189
+24 0 1 0 0 36 72 64 -0.374031293845633
+24 0 1 0 0 36 74 64 -0.345973067928579
+24 0 1 0 0 36 76 64 -0.307586835020433
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 0.0485730189530789
+24 0 0 0 0 36 4 64 0.171055015627224
+24 0 0 0 0 36 8 64 0.280000570910959
+24 0 0 0 0 36 12 64 0.366254856111116
+24 0 0 0 0 36 16 64 0.422740833845206
+24 0 0 0 0 36 20 64 0.444602087603587
+24 0 0 0 0 36 24 64 0.429703975755115
+24 0 0 0 0 36 28 64 0.373350390048786
+24 0 0 0 0 36 32 64 0.294192068074441
+24 0 0 0 0 36 36 64 0.189830674569251
+24 0 0 0 0 36 40 64 0.0702118612765766
+24 0 0 0 0 36 44 64 -0.0521636742785657
+24 0 0 0 0 36 48 64 -0.170613647350069
+24 0 0 0 0 36 52 64 -0.275772351281318
+24 0 0 0 0 36 56 64 -0.357934348979451
+24 0 0 0 0 36 60 64 -0.41200852817173
+24 0 0 0 0 36 64 64 -0.433760960219611
+24 0 0 0 0 36 68 64 -0.417521672201071
+24 0 0 0 0 36 72 64 -0.374031293845633
+24 0 0 0 0 36 76 64 -0.307586835020433
+24 0 0 0 0 36 80 64 -0.194984338195384
+24 0 0 0 0 36 84 64 -0.0786177094875009
+24 0 0 0 0 36 88 64 0.0485730189530789
+24 0 0 0 0 36 92 64 0.171055015627224
+24 0 0 0 0 36 96 64 0.280000570910959
+24 0 0 0 0 36 100 64 0.366254856111116
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vy.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vy.zl
new file mode 100644
index 000000000..e017b8190
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vy.zl
@@ -0,0 +1,1757 @@
+# HYDROTOY::vy z (vy)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 0.0902921402510829
+0 0 2 0 0 36 48 52 0.134200273617742
+0 0 2 0 0 36 48 53 0.176638080703433
+0 0 2 0 0 36 48 54 0.217140604013042
+0 0 2 0 0 36 48 55 0.255264089425492
+0 0 2 0 0 36 48 56 0.290590848056751
+0 0 2 0 0 36 48 57 0.322733832546656
+0 0 2 0 0 36 48 58 0.351340877630784
+0 0 2 0 0 36 48 59 0.376098558536783
+0 0 2 0 0 36 48 60 0.39673562493177
+0 0 2 0 0 36 48 61 0.413025972797738
+0 0 2 0 0 36 48 62 0.424791121674493
+0 0 2 0 0 36 48 63 0.431902170128924
+0 0 2 0 0 36 48 64 0.434281208026084
+0 0 2 0 0 36 48 65 0.431902170128924
+0 0 2 0 0 36 48 66 0.424791121674493
+0 0 2 0 0 36 48 67 0.413025972797738
+0 0 2 0 0 36 48 68 0.39673562493177
+0 0 2 0 0 36 48 69 0.376098558536783
+0 0 2 0 0 36 48 70 0.351340877630784
+0 0 2 0 0 36 48 71 0.322733832546656
+0 0 2 0 0 36 48 72 0.290590848056751
+0 0 2 0 0 36 48 73 0.255264089425492
+0 0 2 0 0 36 48 74 0.217140604013042
+0 0 2 0 0 36 48 75 0.176638080703433
+0 0 2 0 0 36 48 76 0.134200273617742
+0 0 2 0 0 36 48 77 0.0902921402510828
+0 0 2 0 0 36 48 78 0.0453947473009874
+0 0 2 0 0 36 48 79 7.0159977117234e-16
+0 0 2 0 0 36 48 80 -0.045394747300986
+0 0 2 0 0 36 48 81 -0.0902921402510813
+0 0 2 0 0 36 48 82 -0.134200273617741
+0 0 2 0 0 36 48 83 -0.176638080703432
+0 0 2 0 0 36 48 84 -0.217140604013041
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -0.434281208026084
+0 0 1 0 0 36 48 36 -0.424791121674492
+0 0 1 0 0 36 48 38 -0.39673562493177
+0 0 1 0 0 36 48 40 -0.351340877630783
+0 0 1 0 0 36 48 42 -0.29059084805675
+0 0 1 0 0 36 48 44 -0.217140604013041
+0 0 1 0 0 36 48 46 -0.134200273617741
+0 0 1 0 0 36 48 48 -0.0453947473009859
+0 0 1 0 0 36 48 50 0.0453947473009874
+0 0 1 0 0 36 48 52 0.134200273617742
+0 0 1 0 0 36 48 54 0.217140604013042
+0 0 1 0 0 36 48 56 0.290590848056751
+0 0 1 0 0 36 48 58 0.351340877630784
+0 0 1 0 0 36 48 60 0.39673562493177
+0 0 1 0 0 36 48 62 0.424791121674493
+0 0 1 0 0 36 48 64 0.434281208026084
+0 0 1 0 0 36 48 66 0.424791121674493
+0 0 1 0 0 36 48 68 0.39673562493177
+0 0 1 0 0 36 48 70 0.351340877630784
+0 0 1 0 0 36 48 72 0.290590848056751
+0 0 1 0 0 36 48 74 0.217140604013042
+0 0 1 0 0 36 48 76 0.134200273617742
+0 0 1 0 0 36 48 78 0.0453947473009874
+0 0 1 0 0 36 48 80 -0.045394747300986
+0 0 1 0 0 36 48 82 -0.134200273617741
+0 0 1 0 0 36 48 84 -0.217140604013041
+0 0 1 0 0 36 48 86 -0.29059084805675
+0 0 1 0 0 36 48 88 -0.351340877630783
+0 0 1 0 0 36 48 90 -0.39673562493177
+0 0 1 0 0 36 48 92 -0.424791121674492
+0 0 1 0 0 36 48 94 -0.434281208026084
+0 0 1 0 0 36 48 96 -0.424791121674493
+0 0 1 0 0 36 48 98 -0.396735624931771
+0 0 1 0 0 36 48 100 -0.351340877630785
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 0.396735624931772
+0 0 0 0 0 36 48 4 0.434281208026084
+0 0 0 0 0 36 48 8 0.396735624931769
+0 0 0 0 0 36 48 12 0.290590848056749
+0 0 0 0 0 36 48 16 0.134200273617739
+0 0 0 0 0 36 48 20 -0.0453947473009889
+0 0 0 0 0 36 48 24 -0.217140604013044
+0 0 0 0 0 36 48 28 -0.351340877630785
+0 0 0 0 0 36 48 32 -0.424791121674493
+0 0 0 0 0 36 48 36 -0.424791121674492
+0 0 0 0 0 36 48 40 -0.351340877630783
+0 0 0 0 0 36 48 44 -0.217140604013041
+0 0 0 0 0 36 48 48 -0.0453947473009859
+0 0 0 0 0 36 48 52 0.134200273617742
+0 0 0 0 0 36 48 56 0.290590848056751
+0 0 0 0 0 36 48 60 0.39673562493177
+0 0 0 0 0 36 48 64 0.434281208026084
+0 0 0 0 0 36 48 68 0.39673562493177
+0 0 0 0 0 36 48 72 0.290590848056751
+0 0 0 0 0 36 48 76 0.134200273617742
+0 0 0 0 0 36 48 80 -0.045394747300986
+0 0 0 0 0 36 48 84 -0.217140604013041
+0 0 0 0 0 36 48 88 -0.351340877630783
+0 0 0 0 0 36 48 92 -0.424791121674492
+0 0 0 0 0 36 48 96 -0.424791121674493
+0 0 0 0 0 36 48 100 -0.351340877630785
+0 0 0 0 0 36 48 104 -0.217140604013044
+0 0 0 0 0 36 48 108 -0.0453947473009889
+0 0 0 0 0 36 48 112 0.134200273617739
+0 0 0 0 0 36 48 116 0.290590848056749
+0 0 0 0 0 36 48 120 0.396735624931769
+0 0 0 0 0 36 48 124 0.434281208026084
+0 0 0 0 0 36 48 128 0.396735624931772
+0 0 0 0 0 36 48 132 0.290590848056754
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 0.124777249491736
+1 0 2 0 0 36 48 52 0.167581077277568
+1 0 2 0 0 36 48 53 0.208628535903218
+1 0 2 0 0 36 48 54 0.247299529237573
+1 0 2 0 0 36 48 55 0.283261057178848
+1 0 2 0 0 36 48 56 0.316119117701484
+1 0 2 0 0 36 48 57 0.345513711018404
+1 0 2 0 0 36 48 58 0.371122783814015
+1 0 2 0 0 36 48 59 0.392665757727724
+1 0 2 0 0 36 48 60 0.409906603429176
+1 0 2 0 0 36 48 61 0.422656426604986
+1 0 2 0 0 36 48 62 0.430775537524368
+1 0 2 0 0 36 48 63 0.434174981509057
+1 0 2 0 0 36 48 64 0.432817513539377
+1 0 2 0 0 36 48 65 0.426718006318472
+1 0 2 0 0 36 48 66 0.415943287323858
+1 0 2 0 0 36 48 67 0.400611406631595
+1 0 2 0 0 36 48 68 0.38089034353495
+1 0 2 0 0 36 48 69 0.356996166128108
+1 0 2 0 0 36 48 70 0.329190664018915
+1 0 2 0 0 36 48 71 0.297778480107156
+1 0 2 0 0 36 48 72 0.26310377285319
+1 0 2 0 0 36 48 73 0.225546445605841
+1 0 2 0 0 36 48 74 0.185517984301805
+1 0 2 0 0 36 48 75 0.143456949139625
+1 0 2 0 0 36 48 76 0.0998241696223751
+1 0 2 0 0 36 48 77 0.0550976956131916
+1 0 2 0 0 36 48 78 0.0097675597209359
+1 0 2 0 0 36 48 79 -0.0356695915996156
+1 0 2 0 0 36 48 80 -0.0807159394102598
+1 0 2 0 0 36 48 81 -0.124877946497829
+1 0 2 0 0 36 48 82 -0.167671764671178
+1 0 2 0 0 36 48 83 -0.208533874621243
+1 0 2 0 0 36 48 84 -0.247220569166329
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 0.158679273461413
+2 0 2 0 0 36 48 52 0.200079272368088
+2 0 2 0 0 36 48 53 0.239219003707111
+2 0 2 0 0 36 48 54 0.275787461769895
+2 0 2 0 0 36 48 55 0.309345880172263
+2 0 2 0 0 36 48 56 0.339513339835813
+2 0 2 0 0 36 48 57 0.365961020300389
+2 0 2 0 0 36 48 58 0.388399155244287
+2 0 2 0 0 36 48 59 0.40658190776558
+2 0 2 0 0 36 48 60 0.420310063822659
+2 0 2 0 0 36 48 61 0.429433214864962
+2 0 2 0 0 36 48 62 0.433851405740526
+2 0 2 0 0 36 48 63 0.433516229825554
+2 0 2 0 0 36 48 64 0.42843135937751
+2 0 2 0 0 36 48 65 0.418652505301101
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+2 0 2 0 0 36 48 73 0.194305389151172
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+2 0 2 0 0 36 48 77 0.019530637076994
+2 0 2 0 0 36 48 78 -0.0259261745250065
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+2 0 2 0 0 36 48 83 -0.239269279371058
+2 0 2 0 0 36 48 84 -0.27585918706362
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -0.428426257976849
+2 0 1 0 0 36 48 36 -0.40473471039475
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+2 0 1 0 0 36 48 84 -0.27585918706362
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+2 0 1 0 0 36 48 98 -0.36279129967605
+2 0 1 0 0 36 48 100 -0.305497195362384
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 0.191283729113762
+3 0 2 0 0 36 48 52 0.231003153900096
+3 0 2 0 0 36 48 53 0.26820198398608
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+3 0 2 0 0 36 48 76 0.0292846366117768
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+3 0 2 0 0 36 48 83 -0.2681272044006
+3 0 2 0 0 36 48 84 -0.302440129600304
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 0.222818459459584
+4 0 2 0 0 36 48 52 0.260583290203328
+4 0 2 0 0 36 48 53 0.29537941818447
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+4 0 2 0 0 36 48 83 -0.295421101581927
+4 0 2 0 0 36 48 84 -0.327168839477917
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -0.411432597097011
+4 0 1 0 0 36 48 36 -0.373440430911314
+4 0 1 0 0 36 48 38 -0.318410245310168
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+4 0 1 0 0 36 48 64 0.411029426828164
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+4 0 1 0 0 36 48 98 -0.318607644290521
+4 0 1 0 0 36 48 100 -0.250293695555629
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 0.433425313359762
+4 0 0 0 0 36 48 4 0.411725364080886
+4 0 0 0 0 36 48 8 0.318834358944915
+4 0 0 0 0 36 48 12 0.17081399662815
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+4 0 0 0 0 36 48 128 0.318834358944915
+4 0 0 0 0 36 48 132 0.17081399662815
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 0.252648022955704
+5 0 2 0 0 36 48 52 0.288207534099786
+5 0 2 0 0 36 48 53 0.320566762548128
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+5 0 2 0 0 36 48 67 0.325008107572014
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+5 0 2 0 0 36 48 84 -0.349532881341967
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 0.280975527005354
+6 0 2 0 0 36 48 52 0.314079934648802
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+6 0 2 0 0 36 48 84 -0.369703066977284
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -0.38370528771977
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+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 0.307225125237869
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+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 0.331580281083648
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+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+8 0 1 0 0 36 48 84 -0.402324146164598
+8 0 1 0 0 36 48 86 -0.427717655933389
+8 0 1 0 0 36 48 88 -0.434533312464675
+8 0 1 0 0 36 48 90 -0.42234309021176
+8 0 1 0 0 36 48 92 -0.391708893203395
+8 0 1 0 0 36 48 94 -0.344081460219152
+8 0 1 0 0 36 48 96 -0.28154050704634
+8 0 1 0 0 36 48 98 -0.206344549287396
+8 0 1 0 0 36 48 100 -0.122161005946473
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 0.424083834070079
+8 0 0 0 0 36 48 4 0.345214503330213
+8 0 0 0 0 36 48 8 0.206654448789242
+8 0 0 0 0 36 48 12 0.0323619626558851
+8 0 0 0 0 36 48 16 -0.147526200819875
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+8 0 0 0 0 36 48 28 -0.436390709668035
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+8 0 0 0 0 36 48 40 -0.122067288180389
+8 0 0 0 0 36 48 44 0.0583121216602564
+8 0 0 0 0 36 48 48 0.228492460117135
+8 0 0 0 0 36 48 52 0.359123095298256
+8 0 0 0 0 36 48 56 0.427330750083864
+8 0 0 0 0 36 48 60 0.422035518211888
+8 0 0 0 0 36 48 64 0.343741214330307
+8 0 0 0 0 36 48 68 0.20601087971094
+8 0 0 0 0 36 48 72 0.0326593924648049
+8 0 0 0 0 36 48 76 -0.146338993198073
+8 0 0 0 0 36 48 80 -0.299989400913157
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+8 0 0 0 0 36 48 96 -0.28154050704634
+8 0 0 0 0 36 48 100 -0.122161005946473
+8 0 0 0 0 36 48 104 0.0588685378758712
+8 0 0 0 0 36 48 108 0.229736260878789
+8 0 0 0 0 36 48 112 0.360880497287356
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+8 0 0 0 0 36 48 124 0.345214503330213
+8 0 0 0 0 36 48 128 0.206654448789242
+8 0 0 0 0 36 48 132 0.0323619626558851
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 0.353539927803168
+9 0 2 0 0 36 48 52 0.378018163971518
+9 0 2 0 0 36 48 53 0.398209321703248
+9 0 2 0 0 36 48 54 0.4138827204651
+9 0 2 0 0 36 48 55 0.425578788913877
+9 0 2 0 0 36 48 56 0.43227503876651
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+9 0 2 0 0 36 48 58 0.431681940256587
+9 0 2 0 0 36 48 59 0.424261632084667
+9 0 2 0 0 36 48 60 0.412187445908824
+9 0 2 0 0 36 48 61 0.395598149547533
+9 0 2 0 0 36 48 62 0.374674488685556
+9 0 2 0 0 36 48 63 0.349645712520489
+9 0 2 0 0 36 48 64 0.32078627833161
+9 0 2 0 0 36 48 65 0.288412098122736
+9 0 2 0 0 36 48 66 0.25287816458903
+9 0 2 0 0 36 48 67 0.214573491329986
+9 0 2 0 0 36 48 68 0.173918061576972
+9 0 2 0 0 36 48 69 0.131356993329711
+9 0 2 0 0 36 48 70 0.0873569047237375
+9 0 2 0 0 36 48 71 0.0423995644317075
+9 0 2 0 0 36 48 72 -0.00302216781324817
+9 0 2 0 0 36 48 73 -0.0484109253107452
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+9 0 2 0 0 36 48 77 -0.219804010717097
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+9 0 2 0 0 36 48 79 -0.292861352338697
+9 0 2 0 0 36 48 80 -0.324763855341082
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+9 0 2 0 0 36 48 82 -0.377527391338398
+9 0 2 0 0 36 48 83 -0.398203170517988
+9 0 2 0 0 36 48 84 -0.414586785304429
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 0.373263848046011
+10 0 2 0 0 36 48 52 0.394495558210471
+10 0 2 0 0 36 48 53 0.411185012203604
+10 0 2 0 0 36 48 54 0.423259709532163
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+10 0 2 0 0 36 48 58 0.426264011469108
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+10 0 2 0 0 36 48 62 0.355374268781075
+10 0 2 0 0 36 48 63 0.327311120106127
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+10 0 2 0 0 36 48 65 0.26077360259802
+10 0 2 0 0 36 48 66 0.223028280248943
+10 0 2 0 0 36 48 67 0.182839028703846
+10 0 2 0 0 36 48 68 0.140646942909932
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+10 0 2 0 0 36 48 70 0.0521186592786872
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+10 0 2 0 0 36 48 83 -0.411292915435026
+10 0 2 0 0 36 48 84 -0.424150824141709
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -0.297835430749768
+10 0 1 0 0 36 48 36 -0.224986563670818
+10 0 1 0 0 36 48 38 -0.140089005210941
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+10 0 1 0 0 36 48 58 0.426264011469108
+10 0 1 0 0 36 48 60 0.399554250691728
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+10 0 1 0 0 36 48 66 0.223028280248943
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+10 0 1 0 0 36 48 98 -0.141844708897953
+10 0 1 0 0 36 48 100 -0.0529361653114007
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 0.390339818072221
+11 0 2 0 0 36 48 52 0.40819799591783
+11 0 2 0 0 36 48 53 0.42138547960589
+11 0 2 0 0 36 48 54 0.42978318263331
+11 0 2 0 0 36 48 55 0.434225882392892
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+11 0 2 0 0 36 48 60 0.384219683621162
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+11 0 2 0 0 36 48 62 0.333670439377694
+11 0 2 0 0 36 48 63 0.302761906026512
+11 0 2 0 0 36 48 64 0.26853694471596
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+11 0 2 0 0 36 48 66 0.191667041368754
+11 0 2 0 0 36 48 67 0.149864255428516
+11 0 2 0 0 36 48 68 0.106420367320507
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+11 0 2 0 0 36 48 71 -0.0289462792061598
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+11 0 2 0 0 36 48 73 -0.118437090608266
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+11 0 2 0 0 36 48 83 -0.421486911044694
+11 0 2 0 0 36 48 84 -0.430790981333082
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 0.404899343256152
+12 0 2 0 0 36 48 52 0.419244571126024
+12 0 2 0 0 36 48 53 0.428739831945104
+12 0 2 0 0 36 48 54 0.433409779242274
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+12 0 2 0 0 36 48 62 0.309707602216272
+12 0 2 0 0 36 48 63 0.276161776473767
+12 0 2 0 0 36 48 64 0.239591551821094
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+12 0 2 0 0 36 48 83 -0.428961301886811
+12 0 2 0 0 36 48 84 -0.434582350659667
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -0.241434864484946
+12 0 1 0 0 36 48 36 -0.16026422930577
+12 0 1 0 0 36 48 38 -0.070584026178409
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+12 0 1 0 0 36 48 60 0.3662852711205
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+12 0 1 0 0 36 48 98 -0.0718278802089216
+12 0 1 0 0 36 48 100 0.0197276725440023
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 0.369572773464889
+12 0 0 0 0 36 48 4 0.2416293378105
+12 0 0 0 0 36 48 8 0.0719059945150494
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+12 0 0 0 0 36 48 132 -0.1102505484775
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 0.416632132872062
+13 0 2 0 0 36 48 52 0.427387101160899
+13 0 2 0 0 36 48 53 0.433198481049547
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+13 0 2 0 0 36 48 84 -0.435412425677878
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 0.425635612824738
+14 0 2 0 0 36 48 52 0.432708313580505
+14 0 2 0 0 36 48 53 0.434727107476183
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+14 0 2 0 0 36 48 83 -0.435114916216372
+14 0 2 0 0 36 48 84 -0.433318708535577
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 -0.179799551785551
+14 0 1 0 0 36 48 36 -0.0927358218912157
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+14 0 1 0 0 36 48 98 -0.00156702642905836
+14 0 1 0 0 36 48 100 0.0902880973792855
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 0.434921587694608
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+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 0.275507386750357
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+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 0.435186528682669
+17 0 2 0 0 36 48 52 0.431064354313277
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+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 0.432519504282882
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+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 -0.0420118149836822
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+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 0.42697082128212
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+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 0.418506683983778
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+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 0.0306996031603672
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+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 0.407296493016967
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+21 0 2 0 0 36 48 58 0.197475535296802
+21 0 2 0 0 36 48 59 0.156233790423329
+21 0 2 0 0 36 48 60 0.112707222227614
+21 0 2 0 0 36 48 61 0.0683621264803316
+21 0 2 0 0 36 48 62 0.0230107644199357
+21 0 2 0 0 36 48 63 -0.0224670290960831
+21 0 2 0 0 36 48 64 -0.0677500155041685
+21 0 2 0 0 36 48 65 -0.112285150311902
+21 0 2 0 0 36 48 66 -0.155578415461343
+21 0 2 0 0 36 48 67 -0.197186533505614
+21 0 2 0 0 36 48 68 -0.236613633872832
+21 0 2 0 0 36 48 69 -0.273467461258639
+21 0 2 0 0 36 48 70 -0.307306943666169
+21 0 2 0 0 36 48 71 -0.337789903720623
+21 0 2 0 0 36 48 72 -0.36455954563222
+21 0 2 0 0 36 48 73 -0.387321089045714
+21 0 2 0 0 36 48 74 -0.405847726094646
+21 0 2 0 0 36 48 75 -0.419870626912984
+21 0 2 0 0 36 48 76 -0.429375421975145
+21 0 2 0 0 36 48 77 -0.434103953974619
+21 0 2 0 0 36 48 78 -0.434264753358125
+21 0 2 0 0 36 48 79 -0.429612669586457
+21 0 2 0 0 36 48 80 -0.420443484282934
+21 0 2 0 0 36 48 81 -0.40654375495231
+21 0 2 0 0 36 48 82 -0.388371355269107
+21 0 2 0 0 36 48 83 -0.36625472391311
+21 0 2 0 0 36 48 84 -0.339982355435113
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 0.39326727169751
+22 0 2 0 0 36 48 52 0.371306686453585
+22 0 2 0 0 36 48 53 0.34394060490982
+22 0 2 0 0 36 48 54 0.314651041854063
+22 0 2 0 0 36 48 55 0.28141970136549
+22 0 2 0 0 36 48 56 0.245170450816025
+22 0 2 0 0 36 48 57 0.206484209605439
+22 0 2 0 0 36 48 58 0.165034843455352
+22 0 2 0 0 36 48 59 0.122402046466163
+22 0 2 0 0 36 48 60 0.0778288099720537
+22 0 2 0 0 36 48 61 0.0328849888364405
+22 0 2 0 0 36 48 62 -0.0127440200207876
+22 0 2 0 0 36 48 63 -0.0580547385077415
+22 0 2 0 0 36 48 64 -0.102814638426952
+22 0 2 0 0 36 48 65 -0.146424735736082
+22 0 2 0 0 36 48 66 -0.18842812674113
+22 0 2 0 0 36 48 67 -0.228382107078715
+22 0 2 0 0 36 48 68 -0.265816062727086
+22 0 2 0 0 36 48 69 -0.300353854308352
+22 0 2 0 0 36 48 70 -0.331585392635019
+22 0 2 0 0 36 48 71 -0.359188414547489
+22 0 2 0 0 36 48 72 -0.382848883839993
+22 0 2 0 0 36 48 73 -0.402289130885883
+22 0 2 0 0 36 48 74 -0.417345491052016
+22 0 2 0 0 36 48 75 -0.427761695927421
+22 0 2 0 0 36 48 76 -0.433602657894125
+22 0 2 0 0 36 48 77 -0.434625025939417
+22 0 2 0 0 36 48 78 -0.431086471476573
+22 0 2 0 0 36 48 79 -0.422765414645702
+22 0 2 0 0 36 48 80 -0.409980891621379
+22 0 2 0 0 36 48 81 -0.392577228929293
+22 0 2 0 0 36 48 82 -0.371034394841295
+22 0 2 0 0 36 48 83 -0.345677784938343
+22 0 2 0 0 36 48 84 -0.316413978326993
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 0.100944484818657
+22 0 1 0 0 36 48 36 0.188103162431509
+22 0 1 0 0 36 48 38 0.268670548879686
+22 0 1 0 0 36 48 40 0.32983551229505
+22 0 1 0 0 36 48 42 0.384871660396816
+22 0 1 0 0 36 48 44 0.41781713572966
+22 0 1 0 0 36 48 46 0.435230175217292
+22 0 1 0 0 36 48 48 0.432309256755784
+22 0 1 0 0 36 48 50 0.410842469083583
+22 0 1 0 0 36 48 52 0.371306686453585
+22 0 1 0 0 36 48 54 0.314651041854063
+22 0 1 0 0 36 48 56 0.245170450816025
+22 0 1 0 0 36 48 58 0.165034843455352
+22 0 1 0 0 36 48 60 0.0778288099720537
+22 0 1 0 0 36 48 62 -0.0127440200207876
+22 0 1 0 0 36 48 64 -0.102814638426952
+22 0 1 0 0 36 48 66 -0.18842812674113
+22 0 1 0 0 36 48 68 -0.265816062727086
+22 0 1 0 0 36 48 70 -0.331585392635019
+22 0 1 0 0 36 48 72 -0.382848883839993
+22 0 1 0 0 36 48 74 -0.417345491052016
+22 0 1 0 0 36 48 76 -0.433602657894125
+22 0 1 0 0 36 48 78 -0.431086471476573
+22 0 1 0 0 36 48 80 -0.409980891621379
+22 0 1 0 0 36 48 82 -0.371034394841295
+22 0 1 0 0 36 48 84 -0.316413978326993
+22 0 1 0 0 36 48 86 -0.246578548308661
+22 0 1 0 0 36 48 88 -0.167011998125666
+22 0 1 0 0 36 48 90 -0.0797989588613358
+22 0 1 0 0 36 48 92 0.0105814088377385
+22 0 1 0 0 36 48 94 0.0996933364592458
+22 0 1 0 0 36 48 96 0.185719709513542
+22 0 1 0 0 36 48 98 0.266710244959006
+22 0 1 0 0 36 48 100 0.337392090755035
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 0.376694559299912
+23 0 2 0 0 36 48 52 0.351509592278217
+23 0 2 0 0 36 48 53 0.320857702352458
+23 0 2 0 0 36 48 54 0.289065722585008
+23 0 2 0 0 36 48 55 0.25318822999335
+23 0 2 0 0 36 48 56 0.214953953275635
+23 0 2 0 0 36 48 57 0.174334279932815
+23 0 2 0 0 36 48 58 0.131496544728925
+23 0 2 0 0 36 48 59 0.0877389502166793
+23 0 2 0 0 36 48 60 0.0424336710094428
+23 0 2 0 0 36 48 61 -0.00280755748111565
+23 0 2 0 0 36 48 62 -0.0484092779844061
+23 0 2 0 0 36 48 63 -0.0932402873377071
+23 0 2 0 0 36 48 64 -0.137179270829701
+23 0 2 0 0 36 48 65 -0.179565293321718
+23 0 2 0 0 36 48 66 -0.219997148578099
+23 0 2 0 0 36 48 67 -0.258024913979395
+23 0 2 0 0 36 48 68 -0.293214001920945
+23 0 2 0 0 36 48 69 -0.325200707484704
+23 0 2 0 0 36 48 70 -0.353614315929667
+23 0 2 0 0 36 48 71 -0.378148593527786
+23 0 2 0 0 36 48 72 -0.398541514711867
+23 0 2 0 0 36 48 73 -0.414527763269682
+23 0 2 0 0 36 48 74 -0.426016707581266
+23 0 2 0 0 36 48 75 -0.432761456066681
+23 0 2 0 0 36 48 76 -0.434906542848868
+23 0 2 0 0 36 48 77 -0.432223261066811
+23 0 2 0 0 36 48 78 -0.425007045720398
+23 0 2 0 0 36 48 79 -0.413068517038077
+23 0 2 0 0 36 48 80 -0.396743637823233
+23 0 2 0 0 36 48 81 -0.375959334211588
+23 0 2 0 0 36 48 82 -0.351180691692659
+23 0 2 0 0 36 48 83 -0.322878809452937
+23 0 2 0 0 36 48 84 -0.290871806603353
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 0.357476583788319
+24 0 2 0 0 36 48 52 0.329215826954613
+24 0 2 0 0 36 48 53 0.295603708754411
+24 0 2 0 0 36 48 54 0.261536533418475
+24 0 2 0 0 36 48 55 0.223233946360149
+24 0 2 0 0 36 48 56 0.183293813708747
+24 0 2 0 0 36 48 57 0.140991210531024
+24 0 2 0 0 36 48 58 0.0970861351112604
+24 0 2 0 0 36 48 59 0.052473790729879
+24 0 2 0 0 36 48 60 0.00676252120268886
+24 0 2 0 0 36 48 61 -0.0384779819576885
+24 0 2 0 0 36 48 62 -0.0837447006849023
+24 0 2 0 0 36 48 63 -0.127787502161366
+24 0 2 0 0 36 48 64 -0.170613647350069
+24 0 2 0 0 36 48 65 -0.211483969379697
+24 0 2 0 0 36 48 66 -0.250073767322059
+24 0 2 0 0 36 48 67 -0.285915625191215
+24 0 2 0 0 36 48 68 -0.318623368834956
+24 0 2 0 0 36 48 69 -0.347840707925321
+24 0 2 0 0 36 48 70 -0.373245361727959
+24 0 2 0 0 36 48 71 -0.394542526435674
+24 0 2 0 0 36 48 72 -0.411531906922821
+24 0 2 0 0 36 48 73 -0.423955779812406
+24 0 2 0 0 36 48 74 -0.431805098001031
+24 0 2 0 0 36 48 75 -0.434840006686559
+24 0 2 0 0 36 48 76 -0.433280559296053
+24 0 2 0 0 36 48 77 -0.426914583769374
+24 0 2 0 0 36 48 78 -0.416062701209922
+24 0 2 0 0 36 48 79 -0.400582382431662
+24 0 2 0 0 36 48 80 -0.380815244751685
+24 0 2 0 0 36 48 81 -0.356801327387062
+24 0 2 0 0 36 48 82 -0.328945405766233
+24 0 2 0 0 36 48 83 -0.297782181203324
+24 0 2 0 0 36 48 84 -0.263202801753093
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 0.170491292048904
+24 0 1 0 0 36 48 36 0.251606755694081
+24 0 1 0 0 36 48 38 0.322006357236001
+24 0 1 0 0 36 48 40 0.371463274265607
+24 0 1 0 0 36 48 42 0.414176212528562
+24 0 1 0 0 36 48 44 0.432282275166426
+24 0 1 0 0 36 48 46 0.435249989171102
+24 0 1 0 0 36 48 48 0.417242546342549
+24 0 1 0 0 36 48 50 0.381718698956742
+24 0 1 0 0 36 48 52 0.329215826954613
+24 0 1 0 0 36 48 54 0.261536533418475
+24 0 1 0 0 36 48 56 0.183293813708747
+24 0 1 0 0 36 48 58 0.0970861351112604
+24 0 1 0 0 36 48 60 0.00676252120268886
+24 0 1 0 0 36 48 62 -0.0837447006849023
+24 0 1 0 0 36 48 64 -0.170613647350069
+24 0 1 0 0 36 48 66 -0.250073767322059
+24 0 1 0 0 36 48 68 -0.318623368834956
+24 0 1 0 0 36 48 70 -0.373245361727959
+24 0 1 0 0 36 48 72 -0.411531906922821
+24 0 1 0 0 36 48 74 -0.431805098001031
+24 0 1 0 0 36 48 76 -0.433280559296053
+24 0 1 0 0 36 48 78 -0.416062701209922
+24 0 1 0 0 36 48 80 -0.380815244751685
+24 0 1 0 0 36 48 82 -0.328945405766233
+24 0 1 0 0 36 48 84 -0.263202801753093
+24 0 1 0 0 36 48 86 -0.184772987239782
+24 0 1 0 0 36 48 88 -0.0992013366563129
+24 0 1 0 0 36 48 90 -0.00903059492619241
+24 0 1 0 0 36 48 92 0.0812869943280549
+24 0 1 0 0 36 48 94 0.167369510089434
+24 0 1 0 0 36 48 96 0.247652638073146
+24 0 1 0 0 36 48 98 0.321742510395809
+24 0 1 0 0 36 48 100 0.381850314951685
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 0.0110331633677701
+24 0 0 0 0 36 48 4 -0.171045926354557
+24 0 0 0 0 36 48 8 -0.323549724262519
+24 0 0 0 0 36 48 12 -0.420108814412136
+24 0 0 0 0 36 48 16 -0.444027298248502
+24 0 0 0 0 36 48 20 -0.391169224766565
+24 0 0 0 0 36 48 24 -0.270682860524524
+24 0 0 0 0 36 48 28 -0.103408478079912
+24 0 0 0 0 36 48 32 0.081352136695322
+24 0 0 0 0 36 48 36 0.251606755694081
+24 0 0 0 0 36 48 40 0.371463274265607
+24 0 0 0 0 36 48 44 0.432282275166426
+24 0 0 0 0 36 48 48 0.417242546342549
+24 0 0 0 0 36 48 52 0.329215826954613
+24 0 0 0 0 36 48 56 0.183293813708747
+24 0 0 0 0 36 48 60 0.00676252120268886
+24 0 0 0 0 36 48 64 -0.170613647350069
+24 0 0 0 0 36 48 68 -0.318623368834956
+24 0 0 0 0 36 48 72 -0.411531906922821
+24 0 0 0 0 36 48 76 -0.433280559296053
+24 0 0 0 0 36 48 80 -0.380815244751685
+24 0 0 0 0 36 48 84 -0.263202801753093
+24 0 0 0 0 36 48 88 -0.0992013366563129
+24 0 0 0 0 36 48 92 0.0812869943280549
+24 0 0 0 0 36 48 96 0.247652638073146
+24 0 0 0 0 36 48 100 0.381850314951685
+24 0 0 0 0 36 48 104 0.44130787554242
+24 0 0 0 0 36 48 108 0.427042825663722
+24 0 0 0 0 36 48 112 0.338304334795428
+24 0 0 0 0 36 48 116 0.1912071158588
+24 0 0 0 0 36 48 120 0.0110331633677701
+24 0 0 0 0 36 48 124 -0.171045926354557
+24 0 0 0 0 36 48 128 -0.323549724262519
+24 0 0 0 0 36 48 132 -0.420108814412136
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vz.xl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vz.xl
new file mode 100644
index 000000000..2eadc8466
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vz.xl
@@ -0,0 +1,1082 @@
+# HYDROTOY::vz x (vz)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0.374387331157387
+0 0 2 0 0 28 48 64 0.426199910483233
+0 0 2 0 0 29 48 64 0.473342954401761
+0 0 2 0 0 30 48 64 0.515299953858481
+0 0 2 0 0 31 48 64 0.55161121918728
+0 0 2 0 0 32 48 64 0.581878916566594
+0 0 2 0 0 33 48 64 0.605771426770014
+0 0 2 0 0 34 48 64 0.62302697845592
+0 0 2 0 0 35 48 64 0.633456516189086
+0 0 2 0 0 36 48 64 0.636945771771587
+0 0 2 0 0 37 48 64 0.633456516189086
+0 0 2 0 0 38 48 64 0.62302697845592
+0 0 2 0 0 39 48 64 0.605771426770014
+0 0 2 0 0 40 48 64 0.581878916566594
+0 0 2 0 0 41 48 64 0.55161121918728
+0 0 2 0 0 42 48 64 0.515299953858481
+0 0 2 0 0 43 48 64 0.47334295440176
+0 0 2 0 0 44 48 64 0.426199910483233
+0 0 2 0 0 45 48 64 0.374387331157387
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -0.196827067972686
+0 0 1 0 0 20 48 64 -0.0665789627081124
+0 0 1 0 0 22 48 64 0.0665789627081145
+0 0 1 0 0 24 48 64 0.196827067972688
+0 0 1 0 0 26 48 64 0.318472885885794
+0 0 1 0 0 28 48 64 0.426199910483233
+0 0 1 0 0 30 48 64 0.515299953858481
+0 0 1 0 0 32 48 64 0.581878916566594
+0 0 1 0 0 34 48 64 0.62302697845592
+0 0 1 0 0 36 48 64 0.636945771771587
+0 0 1 0 0 38 48 64 0.62302697845592
+0 0 1 0 0 40 48 64 0.581878916566594
+0 0 1 0 0 42 48 64 0.515299953858481
+0 0 1 0 0 44 48 64 0.426199910483233
+0 0 1 0 0 46 48 64 0.318472885885794
+0 0 1 0 0 48 48 64 0.196827067972688
+0 0 1 0 0 50 48 64 0.0665789627081145
+0 0 1 0 0 52 48 64 -0.0665789627081126
+0 0 1 0 0 54 48 64 -0.196827067972686
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -0.515299953858482
+0 0 0 0 0 4 48 64 -0.62302697845592
+0 0 0 0 0 8 48 64 -0.62302697845592
+0 0 0 0 0 12 48 64 -0.51529995385848
+0 0 0 0 0 16 48 64 -0.318472885885792
+0 0 0 0 0 20 48 64 -0.0665789627081124
+0 0 0 0 0 24 48 64 0.196827067972688
+0 0 0 0 0 28 48 64 0.426199910483233
+0 0 0 0 0 32 48 64 0.581878916566594
+0 0 0 0 0 36 48 64 0.636945771771587
+0 0 0 0 0 40 48 64 0.581878916566594
+0 0 0 0 0 44 48 64 0.426199910483233
+0 0 0 0 0 48 48 64 0.196827067972688
+0 0 0 0 0 52 48 64 -0.0665789627081126
+0 0 0 0 0 56 48 64 -0.318472885885792
+0 0 0 0 0 60 48 64 -0.51529995385848
+0 0 0 0 0 64 48 64 -0.62302697845592
+0 0 0 0 0 68 48 64 -0.62302697845592
+0 0 0 0 0 72 48 64 -0.515299953858482
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0.415209098701788
+1 0 2 0 0 28 48 64 0.463442390111039
+1 0 2 0 0 29 48 64 0.506720764229297
+1 0 2 0 0 30 48 64 0.544285038367555
+1 0 2 0 0 31 48 64 0.575886011726491
+1 0 2 0 0 32 48 64 0.601177457429056
+1 0 2 0 0 33 48 64 0.619882277103558
+1 0 2 0 0 34 48 64 0.631795536831408
+1 0 2 0 0 35 48 64 0.636786712446016
+1 0 2 0 0 36 48 64 0.63480111958288
+1 0 2 0 0 37 48 64 0.625860512812919
+1 0 2 0 0 38 48 64 0.610062847294848
+1 0 2 0 0 39 48 64 0.587581205557956
+1 0 2 0 0 40 48 64 0.558661901173699
+1 0 2 0 0 41 48 64 0.523621780092664
+1 0 2 0 0 42 48 64 0.482844749214032
+1 0 2 0 0 43 48 64 0.436777570221252
+1 0 2 0 0 44 48 64 0.386133747478479
+1 0 2 0 0 45 48 64 0.331051619143378
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0.453478940794559
+2 0 2 0 0 28 48 64 0.497773510679683
+2 0 2 0 0 29 48 64 0.536688967511857
+2 0 2 0 0 30 48 64 0.569597092812548
+2 0 2 0 0 31 48 64 0.596276401871507
+2 0 2 0 0 32 48 64 0.616420941848547
+2 0 2 0 0 33 48 64 0.62981184499232
+2 0 2 0 0 34 48 64 0.636302397765754
+2 0 2 0 0 35 48 64 0.63582148831443
+2 0 2 0 0 36 48 64 0.628374385582933
+2 0 2 0 0 37 48 64 0.614042681587195
+2 0 2 0 0 38 48 64 0.592983397475296
+2 0 2 0 0 39 48 64 0.565427263170904
+2 0 2 0 0 40 48 64 0.53167618944795
+2 0 2 0 0 41 48 64 0.492099960133009
+2 0 2 0 0 42 48 64 0.447134420187562
+2 0 2 0 0 43 48 64 0.397278083529842
+2 0 2 0 0 44 48 64 0.343265013492209
+2 0 2 0 0 45 48 64 0.285282407381633
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -0.0973195350500494
+2 0 1 0 0 20 48 64 0.0356668155049764
+2 0 1 0 0 22 48 64 0.169077922714169
+2 0 1 0 0 24 48 64 0.293071522772708
+2 0 1 0 0 26 48 64 0.404256490972886
+2 0 1 0 0 28 48 64 0.497773510679683
+2 0 1 0 0 30 48 64 0.569597092812548
+2 0 1 0 0 32 48 64 0.616420941848547
+2 0 1 0 0 34 48 64 0.636302397765754
+2 0 1 0 0 36 48 64 0.628374385582933
+2 0 1 0 0 38 48 64 0.592983397475296
+2 0 1 0 0 40 48 64 0.53167618944795
+2 0 1 0 0 42 48 64 0.447134420187562
+2 0 1 0 0 44 48 64 0.343265013492209
+2 0 1 0 0 46 48 64 0.22419968498093
+2 0 1 0 0 48 48 64 0.0953357544065353
+2 0 1 0 0 50 48 64 -0.0376948061071308
+2 0 1 0 0 52 48 64 -0.167163605655932
+2 0 1 0 0 54 48 64 -0.291147369612687
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0.488470782327327
+3 0 2 0 0 28 48 64 0.528554108613341
+3 0 2 0 0 29 48 64 0.563043782114253
+3 0 2 0 0 30 48 64 0.591062482933432
+3 0 2 0 0 31 48 64 0.612645321142796
+3 0 2 0 0 32 48 64 0.627506422186431
+3 0 2 0 0 33 48 64 0.635493090592529
+3 0 2 0 0 34 48 64 0.636517106211236
+3 0 2 0 0 35 48 64 0.630567307214526
+3 0 2 0 0 36 48 64 0.617708880845281
+3 0 2 0 0 37 48 64 0.598082706713601
+3 0 2 0 0 38 48 64 0.571903813290315
+3 0 2 0 0 39 48 64 0.539459022010052
+3 0 2 0 0 40 48 64 0.501103874780317
+3 0 2 0 0 41 48 64 0.457259140689453
+3 0 2 0 0 42 48 64 0.40841484135673
+3 0 2 0 0 43 48 64 0.355110279896867
+3 0 2 0 0 44 48 64 0.298338684858483
+3 0 2 0 0 45 48 64 0.237875601223406
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0.520428747659601
+4 0 2 0 0 28 48 64 0.555997238437288
+4 0 2 0 0 29 48 64 0.585602740906243
+4 0 2 0 0 30 48 64 0.608534466478922
+4 0 2 0 0 31 48 64 0.624883166541849
+4 0 2 0 0 32 48 64 0.634358701063624
+4 0 2 0 0 33 48 64 0.636887661799231
+4 0 2 0 0 34 48 64 0.632438163105044
+4 0 2 0 0 35 48 64 0.621059569207628
+4 0 2 0 0 36 48 64 0.602876514907985
+4 0 2 0 0 37 48 64 0.578088219350988
+4 0 2 0 0 38 48 64 0.546966270477068
+4 0 2 0 0 39 48 64 0.509851675025422
+4 0 2 0 0 40 48 64 0.467151693939592
+4 0 2 0 0 41 48 64 0.419335826201633
+4 0 2 0 0 42 48 64 0.366951132038764
+4 0 2 0 0 43 48 64 0.31055931651234
+4 0 2 0 0 44 48 64 0.251106436132613
+4 0 2 0 0 45 48 64 0.188536092335439
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 0.00664574421749242
+4 0 1 0 0 20 48 64 0.139079131940516
+4 0 1 0 0 22 48 64 0.267168672263801
+4 0 1 0 0 24 48 64 0.381444723732171
+4 0 1 0 0 26 48 64 0.479205430551592
+4 0 1 0 0 28 48 64 0.555997238437288
+4 0 1 0 0 30 48 64 0.608534466478922
+4 0 1 0 0 32 48 64 0.634358701063624
+4 0 1 0 0 34 48 64 0.632438163105044
+4 0 1 0 0 36 48 64 0.602876514907985
+4 0 1 0 0 38 48 64 0.546966270477068
+4 0 1 0 0 40 48 64 0.467151693939592
+4 0 1 0 0 42 48 64 0.366951132038764
+4 0 1 0 0 44 48 64 0.251106436132613
+4 0 1 0 0 46 48 64 0.123895196481674
+4 0 1 0 0 48 48 64 -0.00870905206088087
+4 0 1 0 0 50 48 64 -0.140871868994753
+4 0 1 0 0 52 48 64 -0.265429365246958
+4 0 1 0 0 54 48 64 -0.379908726375628
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -0.608492170320791
+4 0 0 0 0 4 48 64 -0.633457407715208
+4 0 0 0 0 8 48 64 -0.548892104535778
+4 0 0 0 0 12 48 64 -0.369418369953888
+4 0 0 0 0 16 48 64 -0.126068843146438
+4 0 0 0 0 20 48 64 0.139079131940516
+4 0 0 0 0 24 48 64 0.381444723732171
+4 0 0 0 0 28 48 64 0.555997238437288
+4 0 0 0 0 32 48 64 0.634358701063624
+4 0 0 0 0 36 48 64 0.602876514907985
+4 0 0 0 0 40 48 64 0.467151693939592
+4 0 0 0 0 44 48 64 0.251106436132613
+4 0 0 0 0 48 48 64 -0.00870905206088087
+4 0 0 0 0 52 48 64 -0.265429365246958
+4 0 0 0 0 56 48 64 -0.478313108700085
+4 0 0 0 0 60 48 64 -0.608492170320791
+4 0 0 0 0 64 48 64 -0.633457407715208
+4 0 0 0 0 68 48 64 -0.548892104535778
+4 0 0 0 0 72 48 64 -0.369418369953888
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0.548671716637726
+5 0 2 0 0 28 48 64 0.579511990105486
+5 0 2 0 0 29 48 64 0.604212729667995
+5 0 2 0 0 30 48 64 0.621895429381323
+5 0 2 0 0 31 48 64 0.632908205148661
+5 0 2 0 0 32 48 64 0.636930754567794
+5 0 2 0 0 33 48 64 0.633986208601161
+5 0 2 0 0 34 48 64 0.624093016065301
+5 0 2 0 0 35 48 64 0.607362373541029
+5 0 2 0 0 36 48 64 0.58397731091608
+5 0 2 0 0 37 48 64 0.554194073175253
+5 0 2 0 0 38 48 64 0.518339004494465
+5 0 2 0 0 39 48 64 0.476805095685047
+5 0 2 0 0 40 48 64 0.43004983326259
+5 0 2 0 0 41 48 64 0.378587818452475
+5 0 2 0 0 42 48 64 0.323026317797251
+5 0 2 0 0 43 48 64 0.263923161260514
+5 0 2 0 0 44 48 64 0.202495145593503
+5 0 2 0 0 45 48 64 0.138267322671338
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0.573427336349663
+6 0 2 0 0 28 48 64 0.59929533363328
+6 0 2 0 0 29 48 64 0.618744058306444
+6 0 2 0 0 30 48 64 0.63105619572436
+6 0 2 0 0 31 48 64 0.636666841978703
+6 0 2 0 0 32 48 64 0.635204159619726
+6 0 2 0 0 33 48 64 0.626808494384442
+6 0 2 0 0 34 48 64 0.611537830338987
+6 0 2 0 0 35 48 64 0.589568091501506
+6 0 2 0 0 36 48 64 0.561138730770607
+6 0 2 0 0 37 48 64 0.526561442935419
+6 0 2 0 0 38 48 64 0.486215241910134
+6 0 2 0 0 39 48 64 0.440542597540113
+6 0 2 0 0 40 48 64 0.390050448904898
+6 0 2 0 0 41 48 64 0.335292139187568
+6 0 2 0 0 42 48 64 0.276937991261975
+6 0 2 0 0 43 48 64 0.215514844045134
+6 0 2 0 0 44 48 64 0.152195853814852
+6 0 2 0 0 45 48 64 0.0867144527560678
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0.108142445428163
+6 0 1 0 0 20 48 64 0.236597711331569
+6 0 1 0 0 22 48 64 0.358190960248211
+6 0 1 0 0 24 48 64 0.459529909846979
+6 0 1 0 0 26 48 64 0.541309732279853
+6 0 1 0 0 28 48 64 0.59929533363328
+6 0 1 0 0 30 48 64 0.63105619572436
+6 0 1 0 0 32 48 64 0.635204159619726
+6 0 1 0 0 34 48 64 0.611537830338987
+6 0 1 0 0 36 48 64 0.561138730770607
+6 0 1 0 0 38 48 64 0.486215241910134
+6 0 1 0 0 40 48 64 0.390050448904898
+6 0 1 0 0 42 48 64 0.276937991261975
+6 0 1 0 0 44 48 64 0.152195853814852
+6 0 1 0 0 46 48 64 0.0202583057932263
+6 0 1 0 0 48 48 64 -0.112477193494334
+6 0 1 0 0 50 48 64 -0.240209113822161
+6 0 1 0 0 52 48 64 -0.354596862110213
+6 0 1 0 0 54 48 64 -0.456605980688555
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0.594160091951463
+7 0 2 0 0 28 48 64 0.61490507221379
+7 0 2 0 0 29 48 64 0.629099330915044
+7 0 2 0 0 30 48 64 0.635957776881836
+7 0 2 0 0 31 48 64 0.636133762800463
+7 0 2 0 0 32 48 64 0.629189408707554
+7 0 2 0 0 33 48 64 0.615403268682931
+7 0 2 0 0 34 48 64 0.594857050277953
+7 0 2 0 0 35 48 64 0.567796753770568
+7 0 2 0 0 36 48 64 0.534514814654423
+7 0 2 0 0 37 48 64 0.495376757521015
+7 0 2 0 0 38 48 64 0.450811997724897
+7 0 2 0 0 39 48 64 0.401309520087472
+7 0 2 0 0 40 48 64 0.347425820508212
+7 0 2 0 0 41 48 64 0.289742729730598
+7 0 2 0 0 42 48 64 0.228996994068136
+7 0 2 0 0 43 48 64 0.16565701444677
+7 0 2 0 0 44 48 64 0.101202924513235
+7 0 2 0 0 45 48 64 0.0349342582130777
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0.611045409887396
+8 0 2 0 0 28 48 64 0.626488604782643
+8 0 2 0 0 29 48 64 0.635205954932862
+8 0 2 0 0 30 48 64 0.63656965963862
+8 0 2 0 0 31 48 64 0.631312006545569
+8 0 2 0 0 32 48 64 0.618926146155333
+8 0 2 0 0 33 48 64 0.5998478902699
+8 0 2 0 0 34 48 64 0.574162773087344
+8 0 2 0 0 35 48 64 0.542195254708906
+8 0 2 0 0 36 48 64 0.504285141633512
+8 0 2 0 0 37 48 64 0.460850478128889
+8 0 2 0 0 38 48 64 0.412368725545547
+8 0 2 0 0 39 48 64 0.359371606917715
+8 0 2 0 0 40 48 64 0.302466210339293
+8 0 2 0 0 41 48 64 0.242248071258209
+8 0 2 0 0 42 48 64 0.179524651499154
+8 0 2 0 0 43 48 64 0.114683077073106
+8 0 2 0 0 44 48 64 0.0491849031164616
+8 0 2 0 0 45 48 64 -0.017445878487619
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0.20968420398198
+8 0 1 0 0 20 48 64 0.330575978767116
+8 0 1 0 0 22 48 64 0.439660375301469
+8 0 1 0 0 24 48 64 0.525204060989606
+8 0 1 0 0 26 48 64 0.588905958761368
+8 0 1 0 0 28 48 64 0.626488604782643
+8 0 1 0 0 30 48 64 0.63656965963862
+8 0 1 0 0 32 48 64 0.618926146155333
+8 0 1 0 0 34 48 64 0.574162773087344
+8 0 1 0 0 36 48 64 0.504285141633512
+8 0 1 0 0 38 48 64 0.412368725545547
+8 0 1 0 0 40 48 64 0.302466210339293
+8 0 1 0 0 42 48 64 0.179524651499154
+8 0 1 0 0 44 48 64 0.0491849031164616
+8 0 1 0 0 46 48 64 -0.0839154065506538
+8 0 1 0 0 48 48 64 -0.213164280783148
+8 0 1 0 0 50 48 64 -0.333101480511354
+8 0 1 0 0 52 48 64 -0.436925889369356
+8 0 1 0 0 54 48 64 -0.52361818793217
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -0.638086200378305
+8 0 0 0 0 4 48 64 -0.577480248216561
+8 0 0 0 0 8 48 64 -0.417022714894814
+8 0 0 0 0 12 48 64 -0.184458165635327
+8 0 0 0 0 16 48 64 0.0800008762123353
+8 0 0 0 0 20 48 64 0.330575978767116
+8 0 0 0 0 24 48 64 0.525204060989606
+8 0 0 0 0 28 48 64 0.626488604782643
+8 0 0 0 0 32 48 64 0.618926146155333
+8 0 0 0 0 36 48 64 0.504285141633512
+8 0 0 0 0 40 48 64 0.302466210339293
+8 0 0 0 0 44 48 64 0.0491849031164616
+8 0 0 0 0 48 48 64 -0.213164280783148
+8 0 0 0 0 52 48 64 -0.436925889369356
+8 0 0 0 0 56 48 64 -0.588361251663493
+8 0 0 0 0 60 48 64 -0.638086200378305
+8 0 0 0 0 64 48 64 -0.577480248216561
+8 0 0 0 0 68 48 64 -0.417022714894814
+8 0 0 0 0 72 48 64 -0.184458165635327
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0.623706319738857
+9 0 2 0 0 28 48 64 0.63376527138927
+9 0 2 0 0 29 48 64 0.637025157945825
+9 0 2 0 0 30 48 64 0.632891063854723
+9 0 2 0 0 31 48 64 0.622232974196344
+9 0 2 0 0 32 48 64 0.604483147556828
+9 0 2 0 0 33 48 64 0.580247693053203
+9 0 2 0 0 34 48 64 0.549593963782722
+9 0 2 0 0 35 48 64 0.512936375305374
+9 0 2 0 0 36 48 64 0.470653621489612
+9 0 2 0 0 37 48 64 0.423215728697588
+9 0 2 0 0 38 48 64 0.37114579462717
+9 0 2 0 0 39 48 64 0.315013162267719
+9 0 2 0 0 40 48 64 0.255477456121705
+9 0 2 0 0 41 48 64 0.193128772789227
+9 0 2 0 0 42 48 64 0.128851579171497
+9 0 2 0 0 43 48 64 0.0629329399379178
+9 0 2 0 0 44 48 64 -0.00282097332470717
+9 0 2 0 0 45 48 64 -0.0693425258313226
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0.63226258972111
+10 0 2 0 0 28 48 64 0.636828625350526
+10 0 2 0 0 29 48 64 0.634543111298931
+10 0 2 0 0 30 48 64 0.624948639700647
+10 0 2 0 0 31 48 64 0.608956358353023
+10 0 2 0 0 32 48 64 0.58595806783613
+10 0 2 0 0 33 48 64 0.556735124905607
+10 0 2 0 0 34 48 64 0.521315540588543
+10 0 2 0 0 35 48 64 0.480217626748754
+10 0 2 0 0 36 48 64 0.433847130934919
+10 0 2 0 0 37 48 64 0.382726780761295
+10 0 2 0 0 38 48 64 0.327422764409982
+10 0 2 0 0 39 48 64 0.268534983861933
+10 0 2 0 0 40 48 64 0.206778434804553
+10 0 2 0 0 41 48 64 0.142715257625943
+10 0 2 0 0 42 48 64 0.0773155042236337
+10 0 2 0 0 43 48 64 0.0107528663652538
+10 0 2 0 0 44 48 64 -0.0551604504938584
+10 0 2 0 0 45 48 64 -0.121137651207538
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0.303082592512178
+10 0 1 0 0 20 48 64 0.413389223059417
+10 0 1 0 0 22 48 64 0.509361614154467
+10 0 1 0 0 24 48 64 0.576697664824444
+10 0 1 0 0 26 48 64 0.620718598327536
+10 0 1 0 0 28 48 64 0.636828625350526
+10 0 1 0 0 30 48 64 0.624948639700647
+10 0 1 0 0 32 48 64 0.58595806783613
+10 0 1 0 0 34 48 64 0.521315540588543
+10 0 1 0 0 36 48 64 0.433847130934919
+10 0 1 0 0 38 48 64 0.327422764409982
+10 0 1 0 0 40 48 64 0.206778434804553
+10 0 1 0 0 42 48 64 0.0773155042236337
+10 0 1 0 0 44 48 64 -0.0551604504938584
+10 0 1 0 0 46 48 64 -0.185812767644383
+10 0 1 0 0 48 48 64 -0.30807669592035
+10 0 1 0 0 50 48 64 -0.417093885521473
+10 0 1 0 0 52 48 64 -0.505656467894159
+10 0 1 0 0 54 48 64 -0.574969914684432
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 0.636505848718193
+11 0 2 0 0 28 48 64 0.635567916648392
+11 0 2 0 0 29 48 64 0.627779864399493
+11 0 2 0 0 30 48 64 0.612797626264639
+11 0 2 0 0 31 48 64 0.591569961709317
+11 0 2 0 0 32 48 64 0.563476798288332
+11 0 2 0 0 33 48 64 0.529468691615408
+11 0 2 0 0 34 48 64 0.489517352854757
+11 0 2 0 0 35 48 64 0.444259919171929
+11 0 2 0 0 36 48 64 0.394114008983325
+11 0 2 0 0 37 48 64 0.339657389339568
+11 0 2 0 0 38 48 64 0.281496433800044
+11 0 2 0 0 39 48 64 0.220252101357702
+11 0 2 0 0 40 48 64 0.156698490498616
+11 0 2 0 0 41 48 64 0.0913455520215617
+11 0 2 0 0 42 48 64 0.0252599806584213
+11 0 2 0 0 43 48 64 -0.0415076725744994
+11 0 2 0 0 44 48 64 -0.106779805947013
+11 0 2 0 0 45 48 64 -0.171749851824256
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 0.636496952827747
+12 0 2 0 0 28 48 64 0.630020061955539
+12 0 2 0 0 29 48 64 0.616779625275
+12 0 2 0 0 30 48 64 0.596519428010902
+12 0 2 0 0 31 48 64 0.570189344535722
+12 0 2 0 0 32 48 64 0.537192529623516
+12 0 2 0 0 33 48 64 0.498631767023083
+12 0 2 0 0 34 48 64 0.454413060445946
+12 0 2 0 0 35 48 64 0.405306063187321
+12 0 2 0 0 36 48 64 0.351722424682695
+12 0 2 0 0 37 48 64 0.294298972138641
+12 0 2 0 0 38 48 64 0.233678660582467
+12 0 2 0 0 39 48 64 0.170491367042271
+12 0 2 0 0 40 48 64 0.105574950270094
+12 0 2 0 0 41 48 64 0.0393632346682347
+12 0 2 0 0 42 48 64 -0.0269675243232683
+12 0 2 0 0 43 48 64 -0.0934977504090493
+12 0 2 0 0 44 48 64 -0.158030280498831
+12 0 2 0 0 45 48 64 -0.221561027205077
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0.391103401878387
+12 0 1 0 0 20 48 64 0.487579014604386
+12 0 1 0 0 22 48 64 0.565369798073024
+12 0 1 0 0 24 48 64 0.612638068689936
+12 0 1 0 0 26 48 64 0.635893019254917
+12 0 1 0 0 28 48 64 0.630020061955539
+12 0 1 0 0 30 48 64 0.596519428010902
+12 0 1 0 0 32 48 64 0.537192529623516
+12 0 1 0 0 34 48 64 0.454413060445946
+12 0 1 0 0 36 48 64 0.351722424682695
+12 0 1 0 0 38 48 64 0.233678660582467
+12 0 1 0 0 40 48 64 0.105574950270094
+12 0 1 0 0 42 48 64 -0.0269675243232683
+12 0 1 0 0 44 48 64 -0.158030280498831
+12 0 1 0 0 46 48 64 -0.282684492328197
+12 0 1 0 0 48 48 64 -0.394694398830679
+12 0 1 0 0 50 48 64 -0.490017090555419
+12 0 1 0 0 52 48 64 -0.563041924061363
+12 0 1 0 0 54 48 64 -0.61280473737383
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -0.600802501898698
+12 0 0 0 0 4 48 64 -0.460809125595699
+12 0 0 0 0 8 48 64 -0.241138371155451
+12 0 0 0 0 12 48 64 0.0202258026743178
+12 0 0 0 0 16 48 64 0.278057482399861
+12 0 0 0 0 20 48 64 0.487579014604386
+12 0 0 0 0 24 48 64 0.612638068689936
+12 0 0 0 0 28 48 64 0.630020061955539
+12 0 0 0 0 32 48 64 0.537192529623516
+12 0 0 0 0 36 48 64 0.351722424682695
+12 0 0 0 0 40 48 64 0.105574950270094
+12 0 0 0 0 44 48 64 -0.158030280498831
+12 0 0 0 0 48 48 64 -0.394694398830679
+12 0 0 0 0 52 48 64 -0.563041924061363
+12 0 0 0 0 56 48 64 -0.636889757172914
+12 0 0 0 0 60 48 64 -0.600802501898698
+12 0 0 0 0 64 48 64 -0.460809125595699
+12 0 0 0 0 68 48 64 -0.241138371155451
+12 0 0 0 0 72 48 64 0.0202258026743178
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 0.632202373404891
+13 0 2 0 0 28 48 64 0.620247722431662
+13 0 2 0 0 29 48 64 0.601619516716176
+13 0 2 0 0 30 48 64 0.576222943416679
+13 0 2 0 0 31 48 64 0.54495727656921
+13 0 2 0 0 32 48 64 0.507284443009357
+13 0 2 0 0 33 48 64 0.464431310800696
+13 0 2 0 0 34 48 64 0.416238907051783
+13 0 2 0 0 35 48 64 0.363619115476454
+13 0 2 0 0 36 48 64 0.30695862581087
+13 0 2 0 0 37 48 64 0.24695862303276
+13 0 2 0 0 38 48 64 0.184293970961242
+13 0 2 0 0 39 48 64 0.119588965476545
+13 0 2 0 0 40 48 64 0.0537507941011856
+13 0 2 0 0 41 48 64 -0.0128845331948327
+13 0 2 0 0 42 48 64 -0.0790174279502527
+13 0 2 0 0 43 48 64 -0.144866998951517
+13 0 2 0 0 44 48 64 -0.20786993130457
+13 0 2 0 0 45 48 64 -0.269521915437951
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 0.623621272900914
+14 0 2 0 0 28 48 64 0.606230011023529
+14 0 2 0 0 29 48 64 0.582399659901089
+14 0 2 0 0 30 48 64 0.55204222708419
+14 0 2 0 0 31 48 64 0.51604293839339
+14 0 2 0 0 32 48 64 0.473956212819899
+14 0 2 0 0 33 48 64 0.427096541106883
+14 0 2 0 0 34 48 64 0.37525236442905
+14 0 2 0 0 35 48 64 0.319480581300334
+14 0 2 0 0 36 48 64 0.260125069911505
+14 0 2 0 0 37 48 64 0.197956954046317
+14 0 2 0 0 38 48 64 0.133677006896174
+14 0 2 0 0 39 48 64 0.0678879098436288
+14 0 2 0 0 40 48 64 0.00157250430686549
+14 0 2 0 0 41 48 64 -0.0650489124107063
+14 0 2 0 0 42 48 64 -0.130540029272946
+14 0 2 0 0 43 48 64 -0.19526927389418
+14 0 2 0 0 44 48 64 -0.256646072645812
+14 0 2 0 0 45 48 64 -0.316003682372278
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0.466481964760648
+14 0 1 0 0 20 48 64 0.546853865475707
+14 0 1 0 0 22 48 64 0.606172368933851
+14 0 1 0 0 24 48 64 0.632092569284521
+14 0 1 0 0 26 48 64 0.634017082978433
+14 0 1 0 0 28 48 64 0.606230011023529
+14 0 1 0 0 30 48 64 0.55204222708419
+14 0 1 0 0 32 48 64 0.473956212819899
+14 0 1 0 0 34 48 64 0.37525236442905
+14 0 1 0 0 36 48 64 0.260125069911505
+14 0 1 0 0 38 48 64 0.133677006896174
+14 0 1 0 0 40 48 64 0.00157250430686549
+14 0 1 0 0 42 48 64 -0.130540029272946
+14 0 1 0 0 44 48 64 -0.256646072645812
+14 0 1 0 0 46 48 64 -0.371926539347738
+14 0 1 0 0 48 48 64 -0.470750486569909
+14 0 1 0 0 50 48 64 -0.549947205575274
+14 0 1 0 0 52 48 64 -0.604103608026255
+14 0 1 0 0 54 48 64 -0.633352363771786
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 0.610898162657094
+15 0 2 0 0 28 48 64 0.588202168451256
+15 0 2 0 0 29 48 64 0.559251661561707
+15 0 2 0 0 30 48 64 0.524137890277866
+15 0 2 0 0 31 48 64 0.483640894281557
+15 0 2 0 0 32 48 64 0.437434296877636
+15 0 2 0 0 33 48 64 0.386877566714143
+15 0 2 0 0 34 48 64 0.331730613198177
+15 0 2 0 0 35 48 64 0.27318848707141
+15 0 2 0 0 36 48 64 0.211538432062192
+15 0 2 0 0 37 48 64 0.14762576897733
+15 0 2 0 0 38 48 64 0.0821698821639728
+15 0 2 0 0 39 48 64 0.015735586188322
+15 0 2 0 0 40 48 64 -0.0506119154770919
+15 0 2 0 0 41 48 64 -0.116781358383583
+15 0 2 0 0 42 48 64 -0.181188098553843
+15 0 2 0 0 43 48 64 -0.244363345811633
+15 0 2 0 0 44 48 64 -0.303358673561193
+15 0 2 0 0 45 48 64 -0.360021035804323
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 0.593968557425158
+16 0 2 0 0 28 48 64 0.566085781141471
+16 0 2 0 0 29 48 64 0.532328892663735
+16 0 2 0 0 30 48 64 0.492694664368078
+16 0 2 0 0 31 48 64 0.447969808483244
+16 0 2 0 0 32 48 64 0.397966208876159
+16 0 2 0 0 33 48 64 0.344043975926546
+16 0 2 0 0 34 48 64 0.285968822014199
+16 0 2 0 0 35 48 64 0.225055334080205
+16 0 2 0 0 36 48 64 0.161527479661504
+16 0 2 0 0 37 48 64 0.0963055859731685
+16 0 2 0 0 38 48 64 0.0301195338258017
+16 0 2 0 0 39 48 64 -0.0365186116284733
+16 0 2 0 0 40 48 64 -0.102454829400577
+16 0 2 0 0 41 48 64 -0.167735686528294
+16 0 2 0 0 42 48 64 -0.230619013424466
+16 0 2 0 0 43 48 64 -0.291818537058967
+16 0 2 0 0 44 48 64 -0.348341077704501
+16 0 2 0 0 45 48 64 -0.401922617971836
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0.531603118307914
+16 0 1 0 0 20 48 64 0.593310938315484
+16 0 1 0 0 22 48 64 0.630624592034147
+16 0 1 0 0 24 48 64 0.634574273339818
+16 0 1 0 0 26 48 64 0.615131806016331
+16 0 1 0 0 28 48 64 0.566085781141471
+16 0 1 0 0 30 48 64 0.492694664368078
+16 0 1 0 0 32 48 64 0.397966208876159
+16 0 1 0 0 34 48 64 0.285968822014199
+16 0 1 0 0 36 48 64 0.161527479661504
+16 0 1 0 0 38 48 64 0.0301195338258017
+16 0 1 0 0 40 48 64 -0.102454829400577
+16 0 1 0 0 42 48 64 -0.230619013424466
+16 0 1 0 0 44 48 64 -0.348341077704501
+16 0 1 0 0 46 48 64 -0.451155527889091
+16 0 1 0 0 48 48 64 -0.534265783980402
+16 0 1 0 0 50 48 64 -0.595355927616416
+16 0 1 0 0 52 48 64 -0.630501069737072
+16 0 1 0 0 54 48 64 -0.637960561846835
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -0.500393207909176
+16 0 0 0 0 4 48 64 -0.295556213534704
+16 0 0 0 0 8 48 64 -0.0396264363127427
+16 0 0 0 0 12 48 64 0.223141489093588
+16 0 0 0 0 16 48 64 0.447150075883108
+16 0 0 0 0 20 48 64 0.593310938315484
+16 0 0 0 0 24 48 64 0.634574273339818
+16 0 0 0 0 28 48 64 0.566085781141471
+16 0 0 0 0 32 48 64 0.397966208876159
+16 0 0 0 0 36 48 64 0.161527479661504
+16 0 0 0 0 40 48 64 -0.102454829400577
+16 0 0 0 0 44 48 64 -0.348341077704501
+16 0 0 0 0 48 48 64 -0.534265783980402
+16 0 0 0 0 52 48 64 -0.630501069737072
+16 0 0 0 0 56 48 64 -0.618563509284066
+16 0 0 0 0 60 48 64 -0.500393207909176
+16 0 0 0 0 64 48 64 -0.295556213534704
+16 0 0 0 0 68 48 64 -0.0396264363127427
+16 0 0 0 0 72 48 64 0.223141489093588
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 0.573152664278081
+17 0 2 0 0 28 48 64 0.540283459745804
+17 0 2 0 0 29 48 64 0.501814436937376
+17 0 2 0 0 30 48 64 0.457922471114267
+17 0 2 0 0 31 48 64 0.409270961111696
+17 0 2 0 0 32 48 64 0.355818714036642
+17 0 2 0 0 33 48 64 0.29888333569975
+17 0 2 0 0 34 48 64 0.238278190612704
+17 0 2 0 0 35 48 64 0.175405942988955
+17 0 2 0 0 36 48 64 0.110430806813117
+17 0 2 0 0 37 48 64 0.0443430446402389
+17 0 2 0 0 38 48 64 -0.022124840380498
+17 0 2 0 0 39 48 64 -0.0885255381027799
+17 0 2 0 0 40 48 64 -0.153610806864127
+17 0 2 0 0 41 48 64 -0.217570329262834
+17 0 2 0 0 42 48 64 -0.27849802709417
+17 0 2 0 0 43 48 64 -0.337313788332648
+17 0 2 0 0 44 48 64 -0.390665136447914
+17 0 2 0 0 45 48 64 -0.440816209803417
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 0.54832279160353
+18 0 2 0 0 28 48 64 0.510661000713712
+18 0 2 0 0 29 48 64 0.467911520545676
+18 0 2 0 0 30 48 64 0.420053554941212
+18 0 2 0 0 31 48 64 0.367806536191394
+18 0 2 0 0 32 48 64 0.311276072433398
+18 0 2 0 0 33 48 64 0.251699558111786
+18 0 2 0 0 34 48 64 0.188983734364185
+18 0 2 0 0 35 48 64 0.124575198545098
+18 0 2 0 0 36 48 64 0.0585944307861043
+18 0 2 0 0 37 48 64 -0.0079117475989604
+18 0 2 0 0 38 48 64 -0.0742141752410136
+18 0 2 0 0 39 48 64 -0.139938443625143
+18 0 2 0 0 40 48 64 -0.20373851197721
+18 0 2 0 0 41 48 64 -0.265950738778782
+18 0 2 0 0 42 48 64 -0.324500243176147
+18 0 2 0 0 43 48 64 -0.38054492704935
+18 0 2 0 0 44 48 64 -0.430640232667373
+18 0 2 0 0 45 48 64 -0.477017290193992
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0.580897038468168
+18 0 1 0 0 20 48 64 0.622686329213327
+18 0 1 0 0 22 48 64 0.638087199718044
+18 0 1 0 0 24 48 64 0.620065806580272
+18 0 1 0 0 26 48 64 0.579729882362324
+18 0 1 0 0 28 48 64 0.510661000713712
+18 0 1 0 0 30 48 64 0.420053554941212
+18 0 1 0 0 32 48 64 0.311276072433398
+18 0 1 0 0 34 48 64 0.188983734364185
+18 0 1 0 0 36 48 64 0.0585944307861043
+18 0 1 0 0 38 48 64 -0.0742141752410136
+18 0 1 0 0 40 48 64 -0.20373851197721
+18 0 1 0 0 42 48 64 -0.324500243176147
+18 0 1 0 0 44 48 64 -0.430640232667373
+18 0 1 0 0 46 48 64 -0.518274479953211
+18 0 1 0 0 48 48 64 -0.583612917574238
+18 0 1 0 0 50 48 64 -0.6250283578753
+18 0 1 0 0 52 48 64 -0.63953055083704
+18 0 1 0 0 54 48 64 -0.625432040746077
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 0.519968679719117
+19 0 2 0 0 28 48 64 0.477779253509716
+19 0 2 0 0 29 48 64 0.430850499258588
+19 0 2 0 0 30 48 64 0.379342883250796
+19 0 2 0 0 31 48 64 0.323857729564015
+19 0 2 0 0 32 48 64 0.264638202445534
+19 0 2 0 0 33 48 64 0.202811068231496
+19 0 2 0 0 34 48 64 0.138421806503409
+19 0 2 0 0 35 48 64 0.0729057082532856
+19 0 2 0 0 36 48 64 0.00636927050226258
+19 0 2 0 0 37 48 64 -0.0601078583628118
+19 0 2 0 0 38 48 64 -0.125801696832981
+19 0 2 0 0 39 48 64 -0.190415033656778
+19 0 2 0 0 40 48 64 -0.252502632374234
+19 0 2 0 0 41 48 64 -0.312551928035932
+19 0 2 0 0 42 48 64 -0.368314151561159
+19 0 2 0 0 43 48 64 -0.421221795620533
+19 0 2 0 0 44 48 64 -0.467438205861365
+19 0 2 0 0 45 48 64 -0.509752468902151
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 0.487901850703798
+20 0 2 0 0 28 48 64 0.441451268312309
+20 0 2 0 0 29 48 64 0.39087924492135
+20 0 2 0 0 30 48 64 0.33606474799889
+20 0 2 0 0 31 48 64 0.277722629586834
+20 0 2 0 0 32 48 64 0.216218835279807
+20 0 2 0 0 33 48 64 0.152548734478687
+20 0 2 0 0 34 48 64 0.0869373803926751
+20 0 2 0 0 35 48 64 0.0207453965184035
+20 0 2 0 0 36 48 64 -0.0458914513819466
+20 0 2 0 0 37 48 64 -0.111896080998752
+20 0 2 0 0 38 48 64 -0.176544809125482
+20 0 2 0 0 39 48 64 -0.239619457581095
+20 0 2 0 0 40 48 64 -0.299575914716971
+20 0 2 0 0 41 48 64 -0.357061011906351
+20 0 2 0 0 42 48 64 -0.409643043466137
+20 0 2 0 0 43 48 64 -0.459076465503556
+20 0 2 0 0 44 48 64 -0.501335109530394
+20 0 2 0 0 45 48 64 -0.539295524070909
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0.616126777780748
+20 0 1 0 0 20 48 64 0.6364013394727
+20 0 1 0 0 22 48 64 0.628320529980046
+20 0 1 0 0 24 48 64 0.588991128883217
+20 0 1 0 0 26 48 64 0.528743913921968
+20 0 1 0 0 28 48 64 0.441451268312309
+20 0 1 0 0 30 48 64 0.33606474799889
+20 0 1 0 0 32 48 64 0.216218835279807
+20 0 1 0 0 34 48 64 0.0869373803926751
+20 0 1 0 0 36 48 64 -0.0458914513819466
+20 0 1 0 0 38 48 64 -0.176544809125482
+20 0 1 0 0 40 48 64 -0.299575914716971
+20 0 1 0 0 42 48 64 -0.409643043466137
+20 0 1 0 0 44 48 64 -0.501335109530394
+20 0 1 0 0 46 48 64 -0.571525937015653
+20 0 1 0 0 48 48 64 -0.617523605188194
+20 0 1 0 0 50 48 64 -0.63821610397173
+20 0 1 0 0 52 48 64 -0.63209330411175
+20 0 1 0 0 54 48 64 -0.596201169376521
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -0.3472732148882
+20 0 0 0 0 4 48 64 -0.0989718385252873
+20 0 0 0 0 8 48 64 0.166373953494248
+20 0 0 0 0 12 48 64 0.402905024754028
+20 0 0 0 0 16 48 64 0.569281091630753
+20 0 0 0 0 20 48 64 0.6364013394727
+20 0 0 0 0 24 48 64 0.588991128883217
+20 0 0 0 0 28 48 64 0.441451268312309
+20 0 0 0 0 32 48 64 0.216218835279807
+20 0 0 0 0 36 48 64 -0.0458914513819466
+20 0 0 0 0 40 48 64 -0.299575914716971
+20 0 0 0 0 44 48 64 -0.501335109530394
+20 0 0 0 0 48 48 64 -0.617523605188194
+20 0 0 0 0 52 48 64 -0.63209330411175
+20 0 0 0 0 56 48 64 -0.535028050589058
+20 0 0 0 0 60 48 64 -0.3472732148882
+20 0 0 0 0 64 48 64 -0.0989718385252873
+20 0 0 0 0 68 48 64 0.166373953494248
+20 0 0 0 0 72 48 64 0.402905024754028
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 0.452769488176866
+21 0 2 0 0 28 48 64 0.402382274358224
+21 0 2 0 0 29 48 64 0.348268859065924
+21 0 2 0 0 30 48 64 0.290512488167699
+21 0 2 0 0 31 48 64 0.229713916424406
+21 0 2 0 0 32 48 64 0.166343533317261
+21 0 2 0 0 33 48 64 0.101253523729312
+21 0 2 0 0 34 48 64 0.0348811464504921
+21 0 2 0 0 35 48 64 -0.0315549334572121
+21 0 2 0 0 36 48 64 -0.0978348200593294
+21 0 2 0 0 37 48 64 -0.162931311722198
+21 0 2 0 0 38 48 64 -0.226106707337252
+21 0 2 0 0 39 48 64 -0.287224249305965
+21 0 2 0 0 40 48 64 -0.344641222895132
+21 0 2 0 0 41 48 64 -0.399179648344469
+21 0 2 0 0 42 48 64 -0.448208423113794
+21 0 2 0 0 43 48 64 -0.493858275984958
+21 0 2 0 0 44 48 64 -0.531626457484424
+21 0 2 0 0 45 48 64 -0.565010043836499
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 0.414326843613403
+22 0 2 0 0 28 48 64 0.360337195235215
+22 0 2 0 0 29 48 64 0.303304151475136
+22 0 2 0 0 30 48 64 0.242994797903992
+22 0 2 0 0 31 48 64 0.180156357362558
+22 0 2 0 0 32 48 64 0.115347670508941
+22 0 2 0 0 33 48 64 0.0492738898606018
+22 0 2 0 0 34 48 64 -0.0173934826581931
+22 0 2 0 0 35 48 64 -0.0836440289380431
+22 0 2 0 0 36 48 64 -0.149110776595062
+22 0 2 0 0 37 48 64 -0.212874685044461
+22 0 2 0 0 38 48 64 -0.274157761529144
+22 0 2 0 0 39 48 64 -0.332912219928396
+22 0 2 0 0 40 48 64 -0.387393670216936
+22 0 2 0 0 41 48 64 -0.438626223594166
+22 0 2 0 0 42 48 64 -0.483750668069979
+22 0 2 0 0 43 48 64 -0.525342283027327
+22 0 2 0 0 44 48 64 -0.558547078453468
+22 0 2 0 0 45 48 64 -0.587123088382212
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 0.634020152660697
+22 0 1 0 0 20 48 64 0.632693653886764
+22 0 1 0 0 22 48 64 0.60162293541873
+22 0 1 0 0 24 48 64 0.54222250661629
+22 0 1 0 0 26 48 64 0.463524483862377
+22 0 1 0 0 28 48 64 0.360337195235215
+22 0 1 0 0 30 48 64 0.242994797903992
+22 0 1 0 0 32 48 64 0.115347670508941
+22 0 1 0 0 34 48 64 -0.0173934826581931
+22 0 1 0 0 36 48 64 -0.149110776595062
+22 0 1 0 0 38 48 64 -0.274157761529144
+22 0 1 0 0 40 48 64 -0.387393670216936
+22 0 1 0 0 42 48 64 -0.483750668069979
+22 0 1 0 0 44 48 64 -0.558547078453468
+22 0 1 0 0 46 48 64 -0.609532189011429
+22 0 1 0 0 48 48 64 -0.635137561032824
+22 0 1 0 0 50 48 64 -0.634524295141995
+22 0 1 0 0 52 48 64 -0.608027171753909
+22 0 1 0 0 54 48 64 -0.55176282146569
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 0.373363992040111
+23 0 2 0 0 28 48 64 0.316147417162652
+23 0 2 0 0 29 48 64 0.256288117698077
+23 0 2 0 0 30 48 64 0.193835000238068
+23 0 2 0 0 31 48 64 0.12938420919191
+23 0 2 0 0 32 48 64 0.0635743128091647
+23 0 2 0 0 33 48 64 -0.00303707610246827
+23 0 2 0 0 34 48 64 -0.0695333258428789
+23 0 2 0 0 35 48 64 -0.135172563437523
+23 0 2 0 0 36 48 64 -0.199374522387455
+23 0 2 0 0 37 48 64 -0.261395425768384
+23 0 2 0 0 38 48 64 -0.320376765073853
+23 0 2 0 0 39 48 64 -0.376378303638681
+23 0 2 0 0 40 48 64 -0.427542722970876
+23 0 2 0 0 41 48 64 -0.475137692488209
+23 0 2 0 0 42 48 64 -0.516032164461388
+23 0 2 0 0 43 48 64 -0.553322431425868
+23 0 2 0 0 44 48 64 -0.581534989990583
+23 0 2 0 0 45 48 64 -0.60514882789463
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 0.329584685421092
+24 0 2 0 0 28 48 64 0.269535811400744
+24 0 2 0 0 29 48 64 0.207533182261098
+24 0 2 0 0 30 48 64 0.14336739936102
+24 0 2 0 0 31 48 64 0.0777385842886276
+24 0 2 0 0 32 48 64 0.0113721306899269
+24 0 2 0 0 33 48 64 -0.0553246470251094
+24 0 2 0 0 34 48 64 -0.121188182623471
+24 0 2 0 0 35 48 64 -0.185795420478696
+24 0 2 0 0 36 48 64 -0.248288712885692
+24 0 2 0 0 37 48 64 -0.308172415386301
+24 0 2 0 0 38 48 64 -0.364452193663696
+24 0 2 0 0 39 48 64 -0.41733133890793
+24 0 2 0 0 40 48 64 -0.464814357581596
+24 0 2 0 0 41 48 64 -0.508471025620041
+24 0 2 0 0 42 48 64 -0.54483728807451
+24 0 2 0 0 43 48 64 -0.577619906349684
+24 0 2 0 0 44 48 64 -0.600777519578084
+24 0 2 0 0 45 48 64 -0.61926420150594
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 0.635532053086669
+24 0 1 0 0 20 48 64 0.6121507108578
+24 0 1 0 0 22 48 64 0.558678131064373
+24 0 1 0 0 24 48 64 0.481026512418809
+24 0 1 0 0 26 48 64 0.385808504594957
+24 0 1 0 0 28 48 64 0.269535811400744
+24 0 1 0 0 30 48 64 0.14336739936102
+24 0 1 0 0 32 48 64 0.0113721306899269
+24 0 1 0 0 34 48 64 -0.121188182623471
+24 0 1 0 0 36 48 64 -0.248288712885692
+24 0 1 0 0 38 48 64 -0.364452193663696
+24 0 1 0 0 40 48 64 -0.464814357581596
+24 0 1 0 0 42 48 64 -0.54483728807451
+24 0 1 0 0 44 48 64 -0.600777519578084
+24 0 1 0 0 46 48 64 -0.631323567438717
+24 0 1 0 0 48 48 64 -0.635989862385625
+24 0 1 0 0 50 48 64 -0.614056511291853
+24 0 1 0 0 52 48 64 -0.567386206365948
+24 0 1 0 0 54 48 64 -0.491599815281745
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -0.157443342737434
+24 0 0 0 0 4 48 64 0.108360623927445
+24 0 0 0 0 8 48 64 0.355179936414683
+24 0 0 0 0 12 48 64 0.540488575380666
+24 0 0 0 0 16 48 64 0.631357735618882
+24 0 0 0 0 20 48 64 0.6121507108578
+24 0 0 0 0 24 48 64 0.481026512418809
+24 0 0 0 0 28 48 64 0.269535811400744
+24 0 0 0 0 32 48 64 0.0113721306899269
+24 0 0 0 0 36 48 64 -0.248288712885692
+24 0 0 0 0 40 48 64 -0.464814357581596
+24 0 0 0 0 44 48 64 -0.600777519578084
+24 0 0 0 0 48 48 64 -0.635989862385625
+24 0 0 0 0 52 48 64 -0.567386206365948
+24 0 0 0 0 56 48 64 -0.394798194117444
+24 0 0 0 0 60 48 64 -0.157443342737434
+24 0 0 0 0 64 48 64 0.108360623927445
+24 0 0 0 0 68 48 64 0.355179936414683
+24 0 0 0 0 72 48 64 0.540488575380666
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vz.yl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vz.yl
new file mode 100644
index 000000000..7c48330f2
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vz.yl
@@ -0,0 +1,1397 @@
+# HYDROTOY::vz y (vz)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0.50990135853555
+0 0 2 0 0 36 40 64 0.53583288072473
+0 0 2 0 0 36 41 64 0.559033921377622
+0 0 2 0 0 36 42 64 0.579386253309212
+0 0 2 0 0 36 43 64 0.596786165701149
+0 0 2 0 0 36 44 64 0.611144992588301
+0 0 2 0 0 36 45 64 0.622389564680188
+0 0 2 0 0 36 46 64 0.630462582214916
+0 0 2 0 0 36 47 64 0.635322906945629
+0 0 2 0 0 36 48 64 0.636945771771587
+0 0 2 0 0 36 49 64 0.635322906945629
+0 0 2 0 0 36 50 64 0.630462582214916
+0 0 2 0 0 36 51 64 0.622389564680188
+0 0 2 0 0 36 52 64 0.611144992588301
+0 0 2 0 0 36 53 64 0.596786165701149
+0 0 2 0 0 36 54 64 0.579386253309212
+0 0 2 0 0 36 55 64 0.559033921377622
+0 0 2 0 0 36 56 64 0.53583288072473
+0 0 2 0 0 36 57 64 0.50990135853555
+0 0 2 0 0 36 58 64 0.48137149590312
+0 0 2 0 0 36 59 64 0.450388674467787
+0 0 2 0 0 36 60 64 0.417110775585686
+0 0 2 0 0 36 61 64 0.381707375801544
+0 0 2 0 0 36 62 64 0.344358882725476
+0 0 2 0 0 36 63 64 0.305255615717156
+0 0 2 0 0 36 64 64 0.264596836061988
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 -2.93103742532793e-15
+0 0 1 0 0 36 28 64 0.0906468344985235
+0 0 1 0 0 36 30 64 0.179448360850545
+0 0 1 0 0 36 32 64 0.264596836061988
+0 0 1 0 0 36 34 64 0.344358882725476
+0 0 1 0 0 36 36 64 0.417110775585686
+0 0 1 0 0 36 38 64 0.481371495903121
+0 0 1 0 0 36 40 64 0.53583288072473
+0 0 1 0 0 36 42 64 0.579386253309212
+0 0 1 0 0 36 44 64 0.611144992588301
+0 0 1 0 0 36 46 64 0.630462582214916
+0 0 1 0 0 36 48 64 0.636945771771587
+0 0 1 0 0 36 50 64 0.630462582214916
+0 0 1 0 0 36 52 64 0.611144992588301
+0 0 1 0 0 36 54 64 0.579386253309212
+0 0 1 0 0 36 56 64 0.53583288072473
+0 0 1 0 0 36 58 64 0.48137149590312
+0 0 1 0 0 36 60 64 0.417110775585686
+0 0 1 0 0 36 62 64 0.344358882725476
+0 0 1 0 0 36 64 64 0.264596836061988
+0 0 1 0 0 36 66 64 0.179448360850545
+0 0 1 0 0 36 68 64 0.0906468344985234
+0 0 1 0 0 36 70 64 -3.07246779757962e-15
+0 0 1 0 0 36 72 64 -0.0906468344985296
+0 0 1 0 0 36 74 64 -0.17944836085055
+0 0 1 0 0 36 76 64 -0.264596836061994
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -0.611144992588299
+0 0 0 0 0 36 4 64 -0.636945771771587
+0 0 0 0 0 36 8 64 -0.611144992588303
+0 0 0 0 0 36 12 64 -0.535832880724733
+0 0 0 0 0 36 16 64 -0.417110775585691
+0 0 0 0 0 36 20 64 -0.264596836061994
+0 0 0 0 0 36 24 64 -0.0906468344985295
+0 0 0 0 0 36 28 64 0.0906468344985235
+0 0 0 0 0 36 32 64 0.264596836061988
+0 0 0 0 0 36 36 64 0.417110775585686
+0 0 0 0 0 36 40 64 0.53583288072473
+0 0 0 0 0 36 44 64 0.611144992588301
+0 0 0 0 0 36 48 64 0.636945771771587
+0 0 0 0 0 36 52 64 0.611144992588301
+0 0 0 0 0 36 56 64 0.53583288072473
+0 0 0 0 0 36 60 64 0.417110775585686
+0 0 0 0 0 36 64 64 0.264596836061988
+0 0 0 0 0 36 68 64 0.0906468344985234
+0 0 0 0 0 36 72 64 -0.0906468344985296
+0 0 0 0 0 36 76 64 -0.264596836061994
+0 0 0 0 0 36 80 64 -0.417110775585691
+0 0 0 0 0 36 84 64 -0.535832880724734
+0 0 0 0 0 36 88 64 -0.611144992588303
+0 0 0 0 0 36 92 64 -0.636945771771587
+0 0 0 0 0 36 96 64 -0.611144992588299
+0 0 0 0 0 36 100 64 -0.535832880724727
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 0.539378137384722
+1 0 2 0 0 36 40 64 0.562179038367364
+1 0 2 0 0 36 41 64 0.582199185263878
+1 0 2 0 0 36 42 64 0.599146755523157
+1 0 2 0 0 36 43 64 0.613041211253013
+1 0 2 0 0 36 44 64 0.62381174949194
+1 0 2 0 0 36 45 64 0.631403486045903
+1 0 2 0 0 36 46 64 0.635777735165602
+1 0 2 0 0 36 47 64 0.636912206680193
+1 0 2 0 0 36 48 64 0.63480111958288
+1 0 2 0 0 36 49 64 0.629455231489608
+1 0 2 0 0 36 50 64 0.620901783820711
+1 0 2 0 0 36 51 64 0.609184362984886
+1 0 2 0 0 36 52 64 0.594362678272839
+1 0 2 0 0 36 53 64 0.576512257592428
+1 0 2 0 0 36 54 64 0.555724062595757
+1 0 2 0 0 36 55 64 0.53210402515945
+1 0 2 0 0 36 56 64 0.505772507580086
+1 0 2 0 0 36 57 64 0.476863689235523
+1 0 2 0 0 36 58 64 0.445524882837553
+1 0 2 0 0 36 59 64 0.411915783760082
+1 0 2 0 0 36 60 64 0.376207656268115
+1 0 2 0 0 36 61 64 0.338582460794316
+1 0 2 0 0 36 62 64 0.299231926710351
+1 0 2 0 0 36 63 64 0.258589850269154
+1 0 2 0 0 36 64 64 0.216406253689122
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 0.565398002435612
+2 0 2 0 0 36 40 64 0.584893751491865
+2 0 2 0 0 36 41 64 0.60144151536923
+2 0 2 0 0 36 42 64 0.614864671252107
+2 0 2 0 0 36 43 64 0.625161142514521
+2 0 2 0 0 36 44 64 0.632270703059781
+2 0 2 0 0 36 45 64 0.636158357031659
+2 0 2 0 0 36 46 64 0.636804293836645
+2 0 2 0 0 36 47 64 0.634205221928842
+2 0 2 0 0 36 48 64 0.628374385582933
+2 0 2 0 0 36 49 64 0.619341497404389
+2 0 2 0 0 36 50 64 0.607152586920843
+2 0 2 0 0 36 51 64 0.591869766026173
+2 0 2 0 0 36 52 64 0.573570912472521
+2 0 2 0 0 36 53 64 0.552349273023126
+2 0 2 0 0 36 54 64 0.528312988288184
+2 0 2 0 0 36 55 64 0.501584541665097
+2 0 2 0 0 36 56 64 0.472300135191147
+2 0 2 0 0 36 57 64 0.44060899548914
+2 0 2 0 0 36 58 64 0.406672613342738
+2 0 2 0 0 36 59 64 0.370663920776444
+2 0 2 0 0 36 60 64 0.332766409833644
+2 0 2 0 0 36 61 64 0.293175756904635
+2 0 2 0 0 36 62 64 0.252095158941335
+2 0 2 0 0 36 63 64 0.209945081525125
+2 0 2 0 0 36 64 64 0.166508567416923
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 0.101958040479921
+2 0 1 0 0 36 28 64 0.19045190926366
+2 0 1 0 0 36 30 64 0.276801468550229
+2 0 1 0 0 36 32 64 0.355631693593013
+2 0 1 0 0 36 34 64 0.42722228291136
+2 0 1 0 0 36 36 64 0.490115858556959
+2 0 1 0 0 36 38 64 0.543032088699761
+2 0 1 0 0 36 40 64 0.584893751491865
+2 0 1 0 0 36 42 64 0.614864671252107
+2 0 1 0 0 36 44 64 0.632270703059781
+2 0 1 0 0 36 46 64 0.636804293836645
+2 0 1 0 0 36 48 64 0.628374385582933
+2 0 1 0 0 36 50 64 0.607152586920843
+2 0 1 0 0 36 52 64 0.573570912472521
+2 0 1 0 0 36 54 64 0.528312988288184
+2 0 1 0 0 36 56 64 0.472300135191147
+2 0 1 0 0 36 58 64 0.406672613342738
+2 0 1 0 0 36 60 64 0.332766409833644
+2 0 1 0 0 36 62 64 0.252095158941335
+2 0 1 0 0 36 64 64 0.166508567416923
+2 0 1 0 0 36 66 64 0.0773116620782785
+2 0 1 0 0 36 68 64 -0.0134590857518569
+2 0 1 0 0 36 70 64 -0.103955845408883
+2 0 1 0 0 36 72 64 -0.192336363837286
+2 0 1 0 0 36 74 64 -0.275010333503837
+2 0 1 0 0 36 76 64 -0.354054672129119
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0.587462116960227
+3 0 2 0 0 36 40 64 0.603541326410646
+3 0 2 0 0 36 41 64 0.616631672885353
+3 0 2 0 0 36 42 64 0.626432433484778
+3 0 2 0 0 36 43 64 0.633064413651825
+3 0 2 0 0 36 44 64 0.636464696504605
+3 0 2 0 0 36 45 64 0.636622049355199
+3 0 2 0 0 36 46 64 0.633535283643025
+3 0 2 0 0 36 47 64 0.627220167344685
+3 0 2 0 0 36 48 64 0.617708880845281
+3 0 2 0 0 36 49 64 0.605049891480632
+3 0 2 0 0 36 50 64 0.589307706558841
+3 0 2 0 0 36 51 64 0.570562544645838
+3 0 2 0 0 36 52 64 0.548909926789954
+3 0 2 0 0 36 53 64 0.524460189768562
+3 0 2 0 0 36 54 64 0.497337923837139
+3 0 2 0 0 36 55 64 0.467681337845893
+3 0 2 0 0 36 56 64 0.435641554959138
+3 0 2 0 0 36 57 64 0.401381842566289
+3 0 2 0 0 36 58 64 0.365076780308672
+3 0 2 0 0 36 59 64 0.326911450441731
+3 0 2 0 0 36 60 64 0.287080653705414
+3 0 2 0 0 36 61 64 0.245799002149099
+3 0 2 0 0 36 62 64 0.203265136979522
+3 0 2 0 0 36 63 64 0.160052956823864
+3 0 2 0 0 36 64 64 0.11577891465481
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0.605737107086903
+4 0 2 0 0 36 40 64 0.618266994352902
+4 0 2 0 0 36 41 64 0.627665059164578
+4 0 2 0 0 36 42 64 0.633771152144637
+4 0 2 0 0 36 43 64 0.636698155575651
+4 0 2 0 0 36 44 64 0.636365165213341
+4 0 2 0 0 36 45 64 0.632791398915848
+4 0 2 0 0 36 46 64 0.625992709893389
+4 0 2 0 0 36 47 64 0.616004120902327
+4 0 2 0 0 36 48 64 0.602876514907985
+4 0 2 0 0 36 49 64 0.586676788385331
+4 0 2 0 0 36 50 64 0.567487491427417
+4 0 2 0 0 36 51 64 0.545406408292959
+4 0 2 0 0 36 52 64 0.520546059120174
+4 0 2 0 0 36 53 64 0.493033126549944
+4 0 2 0 0 36 54 64 0.463007810180118
+4 0 2 0 0 36 55 64 0.4306231121405
+4 0 2 0 0 36 56 64 0.396044057429062
+4 0 2 0 0 36 57 64 0.359446855481761
+4 0 2 0 0 36 58 64 0.321018015768317
+4 0 2 0 0 36 59 64 0.280954104881963
+4 0 2 0 0 36 60 64 0.239459617669995
+4 0 2 0 0 36 61 64 0.196776084762906
+4 0 2 0 0 36 62 64 0.153077118147342
+4 0 2 0 0 36 63 64 0.108889333629815
+4 0 2 0 0 36 64 64 0.0639255829329774
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0.203336824400688
+4 0 1 0 0 36 28 64 0.287310844989877
+4 0 1 0 0 36 30 64 0.366814710346517
+4 0 1 0 0 36 32 64 0.437116971964769
+4 0 1 0 0 36 34 64 0.49863426960122
+4 0 1 0 0 36 36 64 0.54998022255102
+4 0 1 0 0 36 38 64 0.590130164181673
+4 0 1 0 0 36 40 64 0.618266994352902
+4 0 1 0 0 36 42 64 0.633771152144637
+4 0 1 0 0 36 44 64 0.636365165213341
+4 0 1 0 0 36 46 64 0.625992709893389
+4 0 1 0 0 36 48 64 0.602876514907985
+4 0 1 0 0 36 50 64 0.567487491427417
+4 0 1 0 0 36 52 64 0.520546059120174
+4 0 1 0 0 36 54 64 0.463007810180118
+4 0 1 0 0 36 56 64 0.396044057429062
+4 0 1 0 0 36 58 64 0.321018015768317
+4 0 1 0 0 36 60 64 0.239459617669995
+4 0 1 0 0 36 62 64 0.153077118147342
+4 0 1 0 0 36 64 64 0.0639255829329774
+4 0 1 0 0 36 66 64 -0.0269158286163637
+4 0 1 0 0 36 68 64 -0.117220277357043
+4 0 1 0 0 36 70 64 -0.205118972117534
+4 0 1 0 0 36 72 64 -0.288811734351734
+4 0 1 0 0 36 74 64 -0.365347955302905
+4 0 1 0 0 36 76 64 -0.436059668496852
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 -0.637195713383579
+4 0 0 0 0 36 4 64 -0.604381951846523
+4 0 0 0 0 36 8 64 -0.522604758968737
+4 0 0 0 0 36 12 64 -0.398489236569475
+4 0 0 0 0 36 16 64 -0.242090486130096
+4 0 0 0 0 36 20 64 -0.0660790042720144
+4 0 0 0 0 36 24 64 0.115285805525215
+4 0 0 0 0 36 28 64 0.287310844989877
+4 0 0 0 0 36 32 64 0.437116971964769
+4 0 0 0 0 36 36 64 0.54998022255102
+4 0 0 0 0 36 40 64 0.618266994352902
+4 0 0 0 0 36 44 64 0.636365165213341
+4 0 0 0 0 36 48 64 0.602876514907985
+4 0 0 0 0 36 52 64 0.520546059120174
+4 0 0 0 0 36 56 64 0.396044057429062
+4 0 0 0 0 36 60 64 0.239459617669995
+4 0 0 0 0 36 64 64 0.0639255829329774
+4 0 0 0 0 36 68 64 -0.117220277357043
+4 0 0 0 0 36 72 64 -0.288811734351734
+4 0 0 0 0 36 76 64 -0.436059668496852
+4 0 0 0 0 36 80 64 -0.54948153100891
+4 0 0 0 0 36 84 64 -0.618387667771118
+4 0 0 0 0 36 88 64 -0.637195713383579
+4 0 0 0 0 36 92 64 -0.604381951846523
+4 0 0 0 0 36 96 64 -0.522604758968737
+4 0 0 0 0 36 100 64 -0.398489236569475
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0.619815866784387
+5 0 2 0 0 36 40 64 0.628733177458112
+5 0 2 0 0 36 41 64 0.634468135143382
+5 0 2 0 0 36 42 64 0.636832597382819
+5 0 2 0 0 36 43 64 0.636038419221386
+5 0 2 0 0 36 44 64 0.63197230041235
+5 0 2 0 0 36 45 64 0.624692257519311
+5 0 2 0 0 36 46 64 0.614227397318661
+5 0 2 0 0 36 47 64 0.600632707152374
+5 0 2 0 0 36 48 64 0.58397731091608
+5 0 2 0 0 36 49 64 0.56434610078486
+5 0 2 0 0 36 50 64 0.541839112246019
+5 0 2 0 0 36 51 64 0.516571035791953
+5 0 2 0 0 36 52 64 0.488670631747976
+5 0 2 0 0 36 53 64 0.458280074178175
+5 0 2 0 0 36 54 64 0.425554226397277
+5 0 2 0 0 36 55 64 0.390659851902836
+5 0 2 0 0 36 56 64 0.353774765273945
+5 0 2 0 0 36 57 64 0.315086964463373
+5 0 2 0 0 36 58 64 0.27479366214685
+5 0 2 0 0 36 59 64 0.233103201865368
+5 0 2 0 0 36 60 64 0.190226129691542
+5 0 2 0 0 36 61 64 0.146441195516311
+5 0 2 0 0 36 62 64 0.101865937283776
+5 0 2 0 0 36 63 64 0.0571943167828904
+5 0 2 0 0 36 64 64 0.011973383302189
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0.629830097242168
+6 0 2 0 0 36 40 64 0.635052401679783
+6 0 2 0 0 36 41 64 0.636993166349794
+6 0 2 0 0 36 42 64 0.635597717966417
+6 0 2 0 0 36 43 64 0.631090222023777
+6 0 2 0 0 36 44 64 0.623315186045125
+6 0 2 0 0 36 45 64 0.612379353818863
+6 0 2 0 0 36 46 64 0.598318622366667
+6 0 2 0 0 36 47 64 0.581209590522001
+6 0 2 0 0 36 48 64 0.561138730770607
+6 0 2 0 0 36 49 64 0.53820844420425
+6 0 2 0 0 36 50 64 0.512535569833231
+6 0 2 0 0 36 51 64 0.484250931710903
+6 0 2 0 0 36 52 64 0.453498661833035
+6 0 2 0 0 36 53 64 0.420435466736225
+6 0 2 0 0 36 54 64 0.38522982890098
+6 0 2 0 0 36 55 64 0.348061150140387
+6 0 2 0 0 36 56 64 0.309118839106567
+6 0 2 0 0 36 57 64 0.268601571475632
+6 0 2 0 0 36 58 64 0.226715848992383
+6 0 2 0 0 36 59 64 0.183683615371917
+6 0 2 0 0 36 60 64 0.139714281471845
+6 0 2 0 0 36 61 64 0.0951348262470591
+6 0 2 0 0 36 62 64 0.0499802810324689
+6 0 2 0 0 36 63 64 0.00490301853139381
+6 0 2 0 0 36 64 64 -0.0404192879211431
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0.297122722560746
+6 0 1 0 0 36 28 64 0.374509240180489
+6 0 1 0 0 36 30 64 0.447057640236956
+6 0 1 0 0 36 32 64 0.506827467675778
+6 0 1 0 0 36 34 64 0.556679618070835
+6 0 1 0 0 36 36 64 0.595093240342499
+6 0 1 0 0 36 38 64 0.621396256826992
+6 0 1 0 0 36 40 64 0.635052401679783
+6 0 1 0 0 36 42 64 0.635597717966417
+6 0 1 0 0 36 44 64 0.623315186045125
+6 0 1 0 0 36 46 64 0.598318622366667
+6 0 1 0 0 36 48 64 0.561138730770607
+6 0 1 0 0 36 50 64 0.512535569833231
+6 0 1 0 0 36 52 64 0.453498661833035
+6 0 1 0 0 36 54 64 0.38522982890098
+6 0 1 0 0 36 56 64 0.309118839106567
+6 0 1 0 0 36 58 64 0.226715848992383
+6 0 1 0 0 36 60 64 0.139714281471845
+6 0 1 0 0 36 62 64 0.0499802810324689
+6 0 1 0 0 36 64 64 -0.0404192879211431
+6 0 1 0 0 36 66 64 -0.130432939352435
+6 0 1 0 0 36 68 64 -0.217846161358475
+6 0 1 0 0 36 70 64 -0.300740709184171
+6 0 1 0 0 36 72 64 -0.377490025456466
+6 0 1 0 0 36 74 64 -0.444792758034398
+6 0 1 0 0 36 76 64 -0.504818975199184
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 0.635541681155819
+7 0 2 0 0 36 40 64 0.637053772412586
+7 0 2 0 0 36 41 64 0.635224637965066
+7 0 2 0 0 36 42 64 0.630078171977715
+7 0 2 0 0 36 43 64 0.6218874194724
+7 0 2 0 0 36 44 64 0.610451775565712
+7 0 2 0 0 36 45 64 0.595935946655088
+7 0 2 0 0 36 46 64 0.578373551639401
+7 0 2 0 0 36 47 64 0.557865785023267
+7 0 2 0 0 36 48 64 0.534514814654423
+7 0 2 0 0 36 49 64 0.508440124148401
+7 0 2 0 0 36 50 64 0.479774531662615
+7 0 2 0 0 36 51 64 0.448664118574827
+7 0 2 0 0 36 52 64 0.415267415878594
+7 0 2 0 0 36 53 64 0.379754605784431
+7 0 2 0 0 36 54 64 0.342306653616407
+7 0 2 0 0 36 55 64 0.303114401157909
+7 0 2 0 0 36 56 64 0.262377576885548
+7 0 2 0 0 36 57 64 0.2203046498839
+7 0 2 0 0 36 58 64 0.177109489243536
+7 0 2 0 0 36 59 64 0.133031397531304
+7 0 2 0 0 36 60 64 0.0882668692805401
+7 0 2 0 0 36 61 64 0.0432027240039613
+7 0 2 0 0 36 62 64 -0.00223538793525438
+7 0 2 0 0 36 63 64 -0.0472099610685687
+7 0 2 0 0 36 64 64 -0.0922067996660087
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 0.637022425636418
+8 0 2 0 0 36 40 64 0.634794254524964
+8 0 2 0 0 36 41 64 0.629173010314419
+8 0 2 0 0 36 42 64 0.620314007655792
+8 0 2 0 0 36 43 64 0.608492415386402
+8 0 2 0 0 36 44 64 0.593468766634332
+8 0 2 0 0 36 45 64 0.575473270544195
+8 0 2 0 0 36 46 64 0.554526508354797
+8 0 2 0 0 36 47 64 0.530758787621103
+8 0 2 0 0 36 48 64 0.504285141633512
+8 0 2 0 0 36 49 64 0.475241955776838
+8 0 2 0 0 36 50 64 0.443777008160821
+8 0 2 0 0 36 51 64 0.410050677857393
+8 0 2 0 0 36 52 64 0.374234822530294
+8 0 2 0 0 36 53 64 0.336511953688545
+8 0 2 0 0 36 54 64 0.297074298985034
+8 0 2 0 0 36 55 64 0.256122899444967
+8 0 2 0 0 36 56 64 0.213866430304459
+8 0 2 0 0 36 57 64 0.17052277202792
+8 0 2 0 0 36 58 64 0.126310167387866
+8 0 2 0 0 36 59 64 0.0814911815656163
+8 0 2 0 0 36 60 64 0.0362327753977346
+8 0 2 0 0 36 61 64 -0.0090077774966195
+8 0 2 0 0 36 62 64 -0.0544289615937023
+8 0 2 0 0 36 63 64 -0.0992291681542225
+8 0 2 0 0 36 64 64 -0.143737695622745
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0.385785774294104
+8 0 1 0 0 36 28 64 0.454285228667723
+8 0 1 0 0 36 30 64 0.515349180689513
+8 0 1 0 0 36 32 64 0.562872587840816
+8 0 1 0 0 36 34 64 0.599805067555074
+8 0 1 0 0 36 36 64 0.624236534694581
+8 0 1 0 0 36 38 64 0.635983815583996
+8 0 1 0 0 36 40 64 0.634794254524964
+8 0 1 0 0 36 42 64 0.620314007655792
+8 0 1 0 0 36 44 64 0.593468766634332
+8 0 1 0 0 36 46 64 0.554526508354797
+8 0 1 0 0 36 48 64 0.504285141633512
+8 0 1 0 0 36 50 64 0.443777008160821
+8 0 1 0 0 36 52 64 0.374234822530294
+8 0 1 0 0 36 54 64 0.297074298985034
+8 0 1 0 0 36 56 64 0.213866430304459
+8 0 1 0 0 36 58 64 0.126310167387866
+8 0 1 0 0 36 60 64 0.0362327753977346
+8 0 1 0 0 36 62 64 -0.0544289615937023
+8 0 1 0 0 36 64 64 -0.143737695622745
+8 0 1 0 0 36 66 64 -0.230450897726081
+8 0 1 0 0 36 68 64 -0.312628564483326
+8 0 1 0 0 36 70 64 -0.388236257599029
+8 0 1 0 0 36 72 64 -0.455985001401903
+8 0 1 0 0 36 74 64 -0.513778275390261
+8 0 1 0 0 36 76 64 -0.562263542224784
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 -0.59648290094983
+8 0 0 0 0 36 4 64 -0.508360375451156
+8 0 0 0 0 36 8 64 -0.379053515669004
+8 0 0 0 0 36 12 64 -0.2190379943654
+8 0 0 0 0 36 16 64 -0.0412773174274224
+8 0 0 0 0 36 20 64 0.139827402282866
+8 0 0 0 0 36 24 64 0.309604137445777
+8 0 0 0 0 36 28 64 0.454285228667723
+8 0 0 0 0 36 32 64 0.562872587840816
+8 0 0 0 0 36 36 64 0.624236534694581
+8 0 0 0 0 36 40 64 0.634794254524964
+8 0 0 0 0 36 44 64 0.593468766634332
+8 0 0 0 0 36 48 64 0.504285141633512
+8 0 0 0 0 36 52 64 0.374234822530294
+8 0 0 0 0 36 56 64 0.213866430304459
+8 0 0 0 0 36 60 64 0.0362327753977346
+8 0 0 0 0 36 64 64 -0.143737695622745
+8 0 0 0 0 36 68 64 -0.312628564483326
+8 0 0 0 0 36 72 64 -0.455985001401903
+8 0 0 0 0 36 76 64 -0.562263542224784
+8 0 0 0 0 36 80 64 -0.624533179725877
+8 0 0 0 0 36 84 64 -0.636281929233952
+8 0 0 0 0 36 88 64 -0.59648290094983
+8 0 0 0 0 36 92 64 -0.508360375451156
+8 0 0 0 0 36 96 64 -0.379053515669004
+8 0 0 0 0 36 100 64 -0.2190379943654
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 0.634209307316538
+9 0 2 0 0 36 40 64 0.628274633191864
+9 0 2 0 0 36 41 64 0.618880962323979
+9 0 2 0 0 36 42 64 0.606374725532842
+9 0 2 0 0 36 43 64 0.590995724118689
+9 0 2 0 0 36 44 64 0.572481204104115
+9 0 2 0 0 36 45 64 0.551129768960463
+9 0 2 0 0 36 46 64 0.526938091768676
+9 0 2 0 0 36 47 64 0.500071543002118
+9 0 2 0 0 36 48 64 0.470653621489612
+9 0 2 0 0 36 49 64 0.438837928604366
+9 0 2 0 0 36 50 64 0.404785881507996
+9 0 2 0 0 36 51 64 0.368671154257462
+9 0 2 0 0 36 52 64 0.330677759416677
+9 0 2 0 0 36 53 64 0.290999313941686
+9 0 2 0 0 36 54 64 0.249838009214385
+9 0 2 0 0 36 55 64 0.207403866377264
+9 0 2 0 0 36 56 64 0.163912958090276
+9 0 2 0 0 36 57 64 0.119593044521439
+9 0 2 0 0 36 58 64 0.0746619274111935
+9 0 2 0 0 36 59 64 0.0294133634599718
+9 0 2 0 0 36 60 64 -0.0160357731489081
+9 0 2 0 0 36 61 64 -0.0611481311090316
+9 0 2 0 0 36 62 64 -0.106254554573781
+9 0 2 0 0 36 63 64 -0.15036884426168
+9 0 2 0 0 36 64 64 -0.193971445946896
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 0.627113036937236
+10 0 2 0 0 36 40 64 0.617494646688305
+10 0 2 0 0 36 41 64 0.604416447098823
+10 0 2 0 0 36 42 64 0.588356522715237
+10 0 2 0 0 36 43 64 0.569515374275107
+10 0 2 0 0 36 44 64 0.547631867757324
+10 0 2 0 0 36 45 64 0.523070132217243
+10 0 2 0 0 36 46 64 0.495794170364243
+10 0 2 0 0 36 47 64 0.46601124628219
+10 0 2 0 0 36 48 64 0.433847130934919
+10 0 2 0 0 36 49 64 0.399473728774084
+10 0 2 0 0 36 50 64 0.363064298922632
+10 0 2 0 0 36 51 64 0.324804836791494
+10 0 2 0 0 36 52 64 0.284890228214365
+10 0 2 0 0 36 53 64 0.243523915108191
+10 0 2 0 0 36 54 64 0.200916675096805
+10 0 2 0 0 36 55 64 0.157286422205733
+10 0 2 0 0 36 56 64 0.112854727457975
+10 0 2 0 0 36 57 64 0.0678609220204759
+10 0 2 0 0 36 58 64 0.0225149358718501
+10 0 2 0 0 36 59 64 -0.0228487244282122
+10 0 2 0 0 36 60 64 -0.0681857976120786
+10 0 2 0 0 36 61 64 -0.112871820698518
+10 0 2 0 0 36 62 64 -0.15736464702915
+10 0 2 0 0 36 63 64 -0.200724035706136
+10 0 2 0 0 36 64 64 -0.243254893919947
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0.461982031523405
+10 0 1 0 0 36 28 64 0.520003480589231
+10 0 1 0 0 36 30 64 0.569854926403488
+10 0 1 0 0 36 32 64 0.603755781655311
+10 0 1 0 0 36 34 64 0.626858147119501
+10 0 1 0 0 36 36 64 0.636615957094457
+10 0 1 0 0 36 38 64 0.633494107099585
+10 0 1 0 0 36 40 64 0.617494646688305
+10 0 1 0 0 36 42 64 0.588356522715237
+10 0 1 0 0 36 44 64 0.547631867757324
+10 0 1 0 0 36 46 64 0.495794170364243
+10 0 1 0 0 36 48 64 0.433847130934919
+10 0 1 0 0 36 50 64 0.363064298922632
+10 0 1 0 0 36 52 64 0.284890228214365
+10 0 1 0 0 36 54 64 0.200916675096805
+10 0 1 0 0 36 56 64 0.112854727457975
+10 0 1 0 0 36 58 64 0.0225149358718501
+10 0 1 0 0 36 60 64 -0.0681857976120786
+10 0 1 0 0 36 62 64 -0.15736464702915
+10 0 1 0 0 36 64 64 -0.243254893919947
+10 0 1 0 0 36 66 64 -0.324268061042168
+10 0 1 0 0 36 68 64 -0.399016312565578
+10 0 1 0 0 36 70 64 -0.465257051318351
+10 0 1 0 0 36 72 64 -0.522215634847047
+10 0 1 0 0 36 74 64 -0.56790732346883
+10 0 1 0 0 36 76 64 -0.603405777278373
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 0.615847786831143
+11 0 2 0 0 36 40 64 0.602626895084993
+11 0 2 0 0 36 41 64 0.585878594353199
+11 0 2 0 0 36 42 64 0.566383187078877
+11 0 2 0 0 36 43 64 0.544196162269302
+11 0 2 0 0 36 44 64 0.519090297875085
+11 0 2 0 0 36 45 64 0.491484149958726
+11 0 2 0 0 36 46 64 0.461304757971872
+11 0 2 0 0 36 47 64 0.428807988281219
+11 0 2 0 0 36 48 64 0.394114008983325
+11 0 2 0 0 36 49 64 0.357415128886202
+11 0 2 0 0 36 50 64 0.318893939229023
+11 0 2 0 0 36 51 64 0.278747926496674
+11 0 2 0 0 36 52 64 0.237181427508182
+11 0 2 0 0 36 53 64 0.194406410268435
+11 0 2 0 0 36 54 64 0.150640763410713
+11 0 2 0 0 36 55 64 0.106109506694644
+11 0 2 0 0 36 56 64 0.0610371604457141
+11 0 2 0 0 36 57 64 0.0156778695296591
+11 0 2 0 0 36 58 64 -0.029776966558851
+11 0 2 0 0 36 59 64 -0.0749416166336611
+11 0 2 0 0 36 60 64 -0.119866118190805
+11 0 2 0 0 36 61 64 -0.163834553170467
+11 0 2 0 0 36 62 64 -0.207419473570138
+11 0 2 0 0 36 63 64 -0.249522369161557
+11 0 2 0 0 36 64 64 -0.290580047889965
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 0.600362728694348
+12 0 2 0 0 36 40 64 0.583613845025026
+12 0 2 0 0 36 41 64 0.563390524099401
+12 0 2 0 0 36 42 64 0.540603269836972
+12 0 2 0 0 36 43 64 0.515208726399884
+12 0 2 0 0 36 44 64 0.487051565280677
+12 0 2 0 0 36 45 64 0.45658540378857
+12 0 2 0 0 36 46 64 0.423702765989939
+12 0 2 0 0 36 47 64 0.388713244505759
+12 0 2 0 0 36 48 64 0.351722424682695
+12 0 2 0 0 36 49 64 0.312946249902045
+12 0 2 0 0 36 50 64 0.27257315615915
+12 0 2 0 0 36 51 64 0.230811594298089
+12 0 2 0 0 36 52 64 0.187873725758713
+12 0 2 0 0 36 53 64 0.143978795719796
+12 0 2 0 0 36 54 64 0.0993501758777369
+12 0 2 0 0 36 55 64 0.0542197329806349
+12 0 2 0 0 36 56 64 0.00881130618246116
+12 0 2 0 0 36 57 64 -0.0366011471462491
+12 0 2 0 0 36 58 64 -0.0818588302643655
+12 0 2 0 0 36 59 64 -0.126514316678739
+12 0 2 0 0 36 60 64 -0.170729650775611
+12 0 2 0 0 36 61 64 -0.213697209931898
+12 0 2 0 0 36 62 64 -0.256082906572
+12 0 2 0 0 36 63 64 -0.296862770541109
+12 0 2 0 0 36 64 64 -0.33628290507426
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0.528170960261501
+12 0 1 0 0 36 28 64 0.573875772565795
+12 0 1 0 0 36 30 64 0.609087321150422
+12 0 1 0 0 36 32 64 0.628402596995659
+12 0 1 0 0 36 34 64 0.637116089161789
+12 0 1 0 0 36 36 64 0.631884788134024
+12 0 1 0 0 36 38 64 0.613990069259635
+12 0 1 0 0 36 40 64 0.583613845025026
+12 0 1 0 0 36 42 64 0.540603269836972
+12 0 1 0 0 36 44 64 0.487051565280677
+12 0 1 0 0 36 46 64 0.423702765989939
+12 0 1 0 0 36 48 64 0.351722424682695
+12 0 1 0 0 36 50 64 0.27257315615915
+12 0 1 0 0 36 52 64 0.187873725758713
+12 0 1 0 0 36 54 64 0.0993501758777369
+12 0 1 0 0 36 56 64 0.00881130618246116
+12 0 1 0 0 36 58 64 -0.0818588302643655
+12 0 1 0 0 36 60 64 -0.170729650775611
+12 0 1 0 0 36 62 64 -0.256082906572
+12 0 1 0 0 36 64 64 -0.33628290507426
+12 0 1 0 0 36 66 64 -0.409345710324212
+12 0 1 0 0 36 68 64 -0.474685664477683
+12 0 1 0 0 36 70 64 -0.529753025156589
+12 0 1 0 0 36 72 64 -0.574440473484468
+12 0 1 0 0 36 74 64 -0.608058902722826
+12 0 1 0 0 36 76 64 -0.629908211125043
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 -0.493113583217527
+12 0 0 0 0 36 4 64 -0.358814710696291
+12 0 0 0 0 36 8 64 -0.195446804267703
+12 0 0 0 0 36 12 64 -0.0162449601242363
+12 0 0 0 0 36 16 64 0.164272954075997
+12 0 0 0 0 36 20 64 0.331482033068
+12 0 0 0 0 36 24 64 0.471798630517264
+12 0 0 0 0 36 28 64 0.573875772565795
+12 0 0 0 0 36 32 64 0.628402596995659
+12 0 0 0 0 36 36 64 0.631884788134024
+12 0 0 0 0 36 40 64 0.583613845025026
+12 0 0 0 0 36 44 64 0.487051565280677
+12 0 0 0 0 36 48 64 0.351722424682695
+12 0 0 0 0 36 52 64 0.187873725758713
+12 0 0 0 0 36 56 64 0.00881130618246116
+12 0 0 0 0 36 60 64 -0.170729650775611
+12 0 0 0 0 36 64 64 -0.33628290507426
+12 0 0 0 0 36 68 64 -0.474685664477683
+12 0 0 0 0 36 72 64 -0.574440473484468
+12 0 0 0 0 36 76 64 -0.629908211125043
+12 0 0 0 0 36 80 64 -0.634176468120291
+12 0 0 0 0 36 84 64 -0.587465672010459
+12 0 0 0 0 36 88 64 -0.493113583217527
+12 0 0 0 0 36 92 64 -0.358814710696291
+12 0 0 0 0 36 96 64 -0.195446804267703
+12 0 0 0 0 36 100 64 -0.0162449601242363
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 0.580947147813451
+13 0 2 0 0 36 40 64 0.56079531214378
+13 0 2 0 0 36 41 64 0.537104767620391
+13 0 2 0 0 36 42 64 0.511190968605429
+13 0 2 0 0 36 43 64 0.48274845834354
+13 0 2 0 0 36 44 64 0.451734699111499
+13 0 2 0 0 36 45 64 0.41860980863776
+13 0 2 0 0 36 46 64 0.383242607845066
+13 0 2 0 0 36 47 64 0.345998205767797
+13 0 2 0 0 36 48 64 0.30695862581087
+13 0 2 0 0 36 49 64 0.266367692841018
+13 0 2 0 0 36 50 64 0.224414996256527
+13 0 2 0 0 36 51 64 0.18131992587382
+13 0 2 0 0 36 52 64 0.137300529101955
+13 0 2 0 0 36 53 64 0.0925822432529072
+13 0 2 0 0 36 54 64 0.0473920275335564
+13 0 2 0 0 36 55 64 0.00196914161658804
+13 0 2 0 0 36 56 64 -0.0434684925537463
+13 0 2 0 0 36 57 64 -0.088620345921592
+13 0 2 0 0 36 58 64 -0.133377251253409
+13 0 2 0 0 36 59 64 -0.177220721322669
+13 0 2 0 0 36 60 64 -0.220435595192268
+13 0 2 0 0 36 61 64 -0.262126534871435
+13 0 2 0 0 36 62 64 -0.303029063309079
+13 0 2 0 0 36 63 64 -0.342006343397285
+13 0 2 0 0 36 64 64 -0.379416097684702
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 0.557489129184527
+14 0 2 0 0 36 40 64 0.534058024562797
+14 0 2 0 0 36 41 64 0.50719625820417
+14 0 2 0 0 36 42 64 0.478343344591957
+14 0 2 0 0 36 43 64 0.447034217408379
+14 0 2 0 0 36 44 64 0.413380931256607
+14 0 2 0 0 36 45 64 0.377814018066916
+14 0 2 0 0 36 46 64 0.340198619931579
+14 0 2 0 0 36 47 64 0.300951945611179
+14 0 2 0 0 36 48 64 0.260125069911505
+14 0 2 0 0 36 49 64 0.217994531969451
+14 0 2 0 0 36 50 64 0.174745085623992
+14 0 2 0 0 36 51 64 0.130607745568132
+14 0 2 0 0 36 52 64 0.085804033585775
+14 0 2 0 0 36 53 64 0.0405648323946591
+14 0 2 0 0 36 54 64 -0.00488167421308696
+14 0 2 0 0 36 55 64 -0.0502871882393677
+14 0 2 0 0 36 56 64 -0.0954470732799742
+14 0 2 0 0 36 57 64 -0.14002596573151
+14 0 2 0 0 36 58 64 -0.183983093904489
+14 0 2 0 0 36 59 64 -0.226721809581471
+14 0 2 0 0 36 60 64 -0.26865145061754
+14 0 2 0 0 36 61 64 -0.308797995009175
+14 0 2 0 0 36 62 64 -0.347940512889122
+14 0 2 0 0 36 63 64 -0.385054839634187
+14 0 2 0 0 36 64 64 -0.420295414983999
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0.57867094202159
+14 0 1 0 0 36 28 64 0.611120741329166
+14 0 1 0 0 36 30 64 0.632012973631142
+14 0 1 0 0 36 32 64 0.636200480162015
+14 0 1 0 0 36 34 64 0.630303657749717
+14 0 1 0 0 36 36 64 0.610156409607592
+14 0 1 0 0 36 38 64 0.577997236897269
+14 0 1 0 0 36 40 64 0.534058024562797
+14 0 1 0 0 36 42 64 0.478343344591957
+14 0 1 0 0 36 44 64 0.413380931256607
+14 0 1 0 0 36 46 64 0.340198619931579
+14 0 1 0 0 36 48 64 0.260125069911505
+14 0 1 0 0 36 50 64 0.174745085623992
+14 0 1 0 0 36 52 64 0.085804033585775
+14 0 1 0 0 36 54 64 -0.00488167421308696
+14 0 1 0 0 36 56 64 -0.0954470732799742
+14 0 1 0 0 36 58 64 -0.183983093904489
+14 0 1 0 0 36 60 64 -0.26865145061754
+14 0 1 0 0 36 62 64 -0.347940512889122
+14 0 1 0 0 36 64 64 -0.420295414983999
+14 0 1 0 0 36 66 64 -0.483381587196745
+14 0 1 0 0 36 68 64 -0.537604986637817
+14 0 1 0 0 36 70 64 -0.580027273312048
+14 0 1 0 0 36 72 64 -0.611287209230735
+14 0 1 0 0 36 74 64 -0.631172428377194
+14 0 1 0 0 36 76 64 -0.63902892090289
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 0.530446312754231
+15 0 2 0 0 36 40 64 0.503900046058434
+15 0 2 0 0 36 41 64 0.473867089247578
+15 0 2 0 0 36 42 64 0.442281055877767
+15 0 2 0 0 36 43 64 0.408306880460207
+15 0 2 0 0 36 44 64 0.372251709528866
+15 0 2 0 0 36 45 64 0.334473686557368
+15 0 2 0 0 36 46 64 0.294863259756657
+15 0 2 0 0 36 47 64 0.253879420194153
+15 0 2 0 0 36 48 64 0.211538432062192
+15 0 2 0 0 36 49 64 0.16815415926105
+15 0 2 0 0 36 50 64 0.123899381005909
+15 0 2 0 0 36 51 64 0.0790183117144422
+15 0 2 0 0 36 52 64 0.0337328522825777
+15 0 2 0 0 36 53 64 -0.0117208335957486
+15 0 2 0 0 36 54 64 -0.0571164701623981
+15 0 2 0 0 36 55 64 -0.102193709237545
+15 0 2 0 0 36 56 64 -0.146771092556874
+15 0 2 0 0 36 57 64 -0.190469206687892
+15 0 2 0 0 36 58 64 -0.233334234910199
+15 0 2 0 0 36 59 64 -0.274687681573746
+15 0 2 0 0 36 60 64 -0.315055002181317
+15 0 2 0 0 36 61 64 -0.353397281719323
+15 0 2 0 0 36 62 64 -0.390514155846708
+15 0 2 0 0 36 63 64 -0.425318409027177
+15 0 2 0 0 36 64 64 -0.458061578075606
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 0.499647700197632
+16 0 2 0 0 36 40 64 0.470155355371906
+16 0 2 0 0 36 41 64 0.437339836795794
+16 0 2 0 0 36 42 64 0.403245456927188
+16 0 2 0 0 36 43 64 0.366827693713193
+16 0 2 0 0 36 44 64 0.328626642935096
+16 0 2 0 0 36 45 64 0.288881589371665
+16 0 2 0 0 36 46 64 0.24754505104139
+16 0 2 0 0 36 47 64 0.205099300610908
+16 0 2 0 0 36 48 64 0.161527479661504
+16 0 2 0 0 36 49 64 0.117183974587489
+16 0 2 0 0 36 50 64 0.0722217885179424
+16 0 2 0 0 36 51 64 0.0269008830862164
+16 0 2 0 0 36 52 64 -0.0185604833253866
+16 0 2 0 0 36 53 64 -0.0639201385748697
+16 0 2 0 0 36 54 64 -0.108958021259893
+16 0 2 0 0 36 55 64 -0.153397174641942
+16 0 2 0 0 36 56 64 -0.197091827504335
+16 0 2 0 0 36 57 64 -0.23960919226023
+16 0 2 0 0 36 58 64 -0.281098278243746
+16 0 2 0 0 36 59 64 -0.320799465041073
+16 0 2 0 0 36 60 64 -0.359336304526752
+16 0 2 0 0 36 61 64 -0.395623092003998
+16 0 2 0 0 36 62 64 -0.43046038437708
+16 0 2 0 0 36 63 64 -0.462904821269424
+16 0 2 0 0 36 64 64 -0.493001013258371
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0.615314060365795
+16 0 1 0 0 36 28 64 0.633332174635427
+16 0 1 0 0 36 30 64 0.638000400470499
+16 0 1 0 0 36 32 64 0.626988031054254
+16 0 1 0 0 36 34 64 0.606600726019789
+16 0 1 0 0 36 36 64 0.572006368518583
+16 0 1 0 0 36 38 64 0.52649059553371
+16 0 1 0 0 36 40 64 0.470155355371906
+16 0 1 0 0 36 42 64 0.403245456927188
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+16 0 1 0 0 36 46 64 0.24754505104139
+16 0 1 0 0 36 48 64 0.161527479661504
+16 0 1 0 0 36 50 64 0.0722217885179424
+16 0 1 0 0 36 52 64 -0.0185604833253866
+16 0 1 0 0 36 54 64 -0.108958021259893
+16 0 1 0 0 36 56 64 -0.197091827504335
+16 0 1 0 0 36 58 64 -0.281098278243746
+16 0 1 0 0 36 60 64 -0.359336304526752
+16 0 1 0 0 36 62 64 -0.43046038437708
+16 0 1 0 0 36 64 64 -0.493001013258371
+16 0 1 0 0 36 66 64 -0.54437739286784
+16 0 1 0 0 36 68 64 -0.586089423388958
+16 0 1 0 0 36 70 64 -0.61477035987319
+16 0 1 0 0 36 72 64 -0.631829930915171
+16 0 1 0 0 36 74 64 -0.638239370987209
+16 0 1 0 0 36 76 64 -0.631681880899216
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 -0.337794414256765
+16 0 0 0 0 36 4 64 -0.171335037756763
+16 0 0 0 0 36 8 64 0.00900705762306818
+16 0 0 0 0 36 12 64 0.188619368399998
+16 0 0 0 0 36 16 64 0.352949099750753
+16 0 0 0 0 36 20 64 0.488682974169145
+16 0 0 0 0 36 24 64 0.584635099353558
+16 0 0 0 0 36 28 64 0.633332174635427
+16 0 0 0 0 36 32 64 0.626988031054254
+16 0 0 0 0 36 36 64 0.572006368518583
+16 0 0 0 0 36 40 64 0.470155355371906
+16 0 0 0 0 36 44 64 0.328626642935096
+16 0 0 0 0 36 48 64 0.161527479661504
+16 0 0 0 0 36 52 64 -0.0185604833253866
+16 0 0 0 0 36 56 64 -0.197091827504335
+16 0 0 0 0 36 60 64 -0.359336304526752
+16 0 0 0 0 36 64 64 -0.493001013258371
+16 0 0 0 0 36 68 64 -0.586089423388958
+16 0 0 0 0 36 72 64 -0.631829930915171
+16 0 0 0 0 36 76 64 -0.631681880899216
+16 0 0 0 0 36 80 64 -0.57713410242229
+16 0 0 0 0 36 84 64 -0.476912579618416
+16 0 0 0 0 36 88 64 -0.337794414256765
+16 0 0 0 0 36 92 64 -0.171335037756763
+16 0 0 0 0 36 96 64 0.00900705762306818
+16 0 0 0 0 36 100 64 0.188619368399998
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 0.46570747841084
+17 0 2 0 0 36 40 64 0.433467278212548
+17 0 2 0 0 36 41 64 0.39786139037636
+17 0 2 0 0 36 42 64 0.361498870417935
+17 0 2 0 0 36 43 64 0.322876467886244
+17 0 2 0 0 36 44 64 0.282801324086693
+17 0 2 0 0 36 45 64 0.241345587466929
+17 0 2 0 0 36 46 64 0.198566265674094
+17 0 2 0 0 36 47 64 0.154941647975132
+17 0 2 0 0 36 48 64 0.110430806813117
+17 0 2 0 0 36 49 64 0.0654289290878617
+17 0 2 0 0 36 50 64 0.0200616683167988
+17 0 2 0 0 36 51 64 -0.02539182868863
+17 0 2 0 0 36 52 64 -0.0707221305584795
+17 0 2 0 0 36 53 64 -0.115679086352291
+17 0 2 0 0 36 54 64 -0.160054803402629
+17 0 2 0 0 36 55 64 -0.203549582840353
+17 0 2 0 0 36 56 64 -0.246068098414227
+17 0 2 0 0 36 57 64 -0.287115844421735
+17 0 2 0 0 36 58 64 -0.326955168220586
+17 0 2 0 0 36 59 64 -0.364751146723146
+17 0 2 0 0 36 60 64 -0.401199732131416
+17 0 2 0 0 36 61 64 -0.435189123790478
+17 0 2 0 0 36 62 64 -0.467508952818711
+17 0 2 0 0 36 63 64 -0.497188887267672
+17 0 2 0 0 36 64 64 -0.524368078729558
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 0.42839967581875
+18 0 2 0 0 36 40 64 0.393621372677248
+18 0 2 0 0 36 41 64 0.355696494790494
+18 0 2 0 0 36 42 64 0.317321371555609
+18 0 2 0 0 36 43 64 0.276749583146587
+18 0 2 0 0 36 44 64 0.23508515985357
+18 0 2 0 0 36 45 64 0.192186444783103
+18 0 2 0 0 36 46 64 0.148260362980632
+18 0 2 0 0 36 47 64 0.10374545686243
+18 0 2 0 0 36 48 64 0.0585944307861043
+18 0 2 0 0 36 49 64 0.0132389495453763
+18 0 2 0 0 36 50 64 -0.0322287363964737
+18 0 2 0 0 36 51 64 -0.0775062850273616
+18 0 2 0 0 36 52 64 -0.122399610030707
+18 0 2 0 0 36 53 64 -0.166647026592268
+18 0 2 0 0 36 54 64 -0.21006088687845
+18 0 2 0 0 36 55 64 -0.252311223263527
+18 0 2 0 0 36 56 64 -0.293369224079844
+18 0 2 0 0 36 57 64 -0.332672537881876
+18 0 2 0 0 36 58 64 -0.370599621972402
+18 0 2 0 0 36 59 64 -0.406251309073617
+18 0 2 0 0 36 60 64 -0.440366065284512
+18 0 2 0 0 36 61 64 -0.471826654009687
+18 0 2 0 0 36 62 64 -0.501408571855364
+18 0 2 0 0 36 63 64 -0.52828405406998
+18 0 2 0 0 36 64 64 -0.552411321756746
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 0.634682676817871
+18 0 1 0 0 36 28 64 0.638103006223593
+18 0 1 0 0 36 30 64 0.626924466571439
+18 0 1 0 0 36 32 64 0.601072903750926
+18 0 1 0 0 36 34 64 0.566638826986834
+18 0 1 0 0 36 36 64 0.518461283101347
+18 0 1 0 0 36 38 64 0.460867413024047
+18 0 1 0 0 36 40 64 0.393621372677248
+18 0 1 0 0 36 42 64 0.317321371555609
+18 0 1 0 0 36 44 64 0.23508515985357
+18 0 1 0 0 36 46 64 0.148260362980632
+18 0 1 0 0 36 48 64 0.0585944307861043
+18 0 1 0 0 36 50 64 -0.0322287363964737
+18 0 1 0 0 36 52 64 -0.122399610030707
+18 0 1 0 0 36 54 64 -0.21006088687845
+18 0 1 0 0 36 56 64 -0.293369224079844
+18 0 1 0 0 36 58 64 -0.370599621972402
+18 0 1 0 0 36 60 64 -0.440366065284512
+18 0 1 0 0 36 62 64 -0.501408571855364
+18 0 1 0 0 36 64 64 -0.552411321756746
+18 0 1 0 0 36 66 64 -0.590696181717163
+18 0 1 0 0 36 68 64 -0.618846063372348
+18 0 1 0 0 36 70 64 -0.633096782218086
+18 0 1 0 0 36 72 64 -0.635530689308149
+18 0 1 0 0 36 74 64 -0.627922301330068
+18 0 1 0 0 36 76 64 -0.607665079303543
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 0.388478390562911
+19 0 2 0 0 36 40 64 0.351389419314031
+19 0 2 0 0 36 41 64 0.311130420583761
+19 0 2 0 0 36 42 64 0.271010413780176
+19 0 2 0 0 36 43 64 0.22875785038973
+19 0 2 0 0 36 44 64 0.18579914357345
+19 0 2 0 0 36 45 64 0.141735507456792
+19 0 2 0 0 36 46 64 0.0969692416119346
+19 0 2 0 0 36 47 64 0.0518561119946674
+19 0 2 0 0 36 48 64 0.00636927050226258
+19 0 2 0 0 36 49 64 -0.0390337036581263
+19 0 2 0 0 36 50 64 -0.0842968863264894
+19 0 2 0 0 36 51 64 -0.129090766222099
+19 0 2 0 0 36 52 64 -0.173244480116455
+19 0 2 0 0 36 53 64 -0.216479415877318
+19 0 2 0 0 36 54 64 -0.258638728013065
+19 0 2 0 0 36 55 64 -0.299353694852427
+19 0 2 0 0 36 56 64 -0.338677877920421
+19 0 2 0 0 36 57 64 -0.375978386287746
+19 0 2 0 0 36 58 64 -0.411743285890963
+19 0 2 0 0 36 59 64 -0.44502475555374
+19 0 2 0 0 36 60 64 -0.476574569117391
+19 0 2 0 0 36 61 64 -0.505286294778445
+19 0 2 0 0 36 62 64 -0.53193162261327
+19 0 2 0 0 36 63 64 -0.55565501239411
+19 0 2 0 0 36 64 64 -0.576521402759017
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 0.345668692183943
+20 0 2 0 0 36 40 64 0.306514157940223
+20 0 2 0 0 36 41 64 0.264462643650939
+20 0 2 0 0 36 42 64 0.222877336313052
+20 0 2 0 0 36 43 64 0.179224211115552
+20 0 2 0 0 36 44 64 0.13527368443792
+20 0 2 0 0 36 45 64 0.0903322837164305
+20 0 2 0 0 36 46 64 0.0450403948938235
+20 0 2 0 0 36 47 64 -0.000377178281310113
+20 0 2 0 0 36 48 64 -0.0458914513819466
+20 0 2 0 0 36 49 64 -0.0910370690518435
+20 0 2 0 0 36 50 64 -0.135792472686177
+20 0 2 0 0 36 51 64 -0.179797960409389
+20 0 2 0 0 36 52 64 -0.222914923194685
+20 0 2 0 0 36 53 64 -0.26484052832611
+20 0 2 0 0 36 54 64 -0.305461869862906
+20 0 2 0 0 36 55 64 -0.34436272295636
+20 0 2 0 0 36 56 64 -0.381692683676471
+20 0 2 0 0 36 57 64 -0.416750019710524
+20 0 2 0 0 36 58 64 -0.450116527317603
+20 0 2 0 0 36 59 64 -0.480813949755293
+20 0 2 0 0 36 60 64 -0.509584894751634
+20 0 2 0 0 36 61 64 -0.535340418965597
+20 0 2 0 0 36 62 64 -0.558874538525418
+20 0 2 0 0 36 63 64 -0.579403743640139
+20 0 2 0 0 36 64 64 -0.596901434930012
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 0.637799184714721
+20 0 1 0 0 36 28 64 0.626235591513993
+20 0 1 0 0 36 30 64 0.599068849264139
+20 0 1 0 0 36 32 64 0.559189286964574
+20 0 1 0 0 36 34 64 0.511486797201851
+20 0 1 0 0 36 36 64 0.45097508648785
+20 0 1 0 0 36 38 64 0.382907440465782
+20 0 1 0 0 36 40 64 0.306514157940223
+20 0 1 0 0 36 42 64 0.222877336313052
+20 0 1 0 0 36 44 64 0.13527368443792
+20 0 1 0 0 36 46 64 0.0450403948938235
+20 0 1 0 0 36 48 64 -0.0458914513819466
+20 0 1 0 0 36 50 64 -0.135792472686177
+20 0 1 0 0 36 52 64 -0.222914923194685
+20 0 1 0 0 36 54 64 -0.305461869862906
+20 0 1 0 0 36 56 64 -0.381692683676471
+20 0 1 0 0 36 58 64 -0.450116527317603
+20 0 1 0 0 36 60 64 -0.509584894751634
+20 0 1 0 0 36 62 64 -0.558874538525418
+20 0 1 0 0 36 64 64 -0.596901434930012
+20 0 1 0 0 36 66 64 -0.621107882712815
+20 0 1 0 0 36 68 64 -0.635006670451623
+20 0 1 0 0 36 70 64 -0.634549833544072
+20 0 1 0 0 36 72 64 -0.62235201942325
+20 0 1 0 0 36 74 64 -0.601125706583894
+20 0 1 0 0 36 76 64 -0.567045853386031
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 -0.146717342441159
+20 0 0 0 0 36 4 64 0.0344564118527246
+20 0 0 0 0 36 8 64 0.212856332547802
+20 0 0 0 0 36 12 64 0.374010450461751
+20 0 0 0 0 36 16 64 0.504851071241502
+20 0 0 0 0 36 20 64 0.594792834110813
+20 0 0 0 0 36 24 64 0.636007674397615
+20 0 0 0 0 36 28 64 0.626235591513993
+20 0 0 0 0 36 32 64 0.559189286964574
+20 0 0 0 0 36 36 64 0.45097508648785
+20 0 0 0 0 36 40 64 0.306514157940223
+20 0 0 0 0 36 44 64 0.13527368443792
+20 0 0 0 0 36 48 64 -0.0458914513819466
+20 0 0 0 0 36 52 64 -0.222914923194685
+20 0 0 0 0 36 56 64 -0.381692683676471
+20 0 0 0 0 36 60 64 -0.509584894751634
+20 0 0 0 0 36 64 64 -0.596901434930012
+20 0 0 0 0 36 68 64 -0.635006670451623
+20 0 0 0 0 36 72 64 -0.62235201942325
+20 0 0 0 0 36 76 64 -0.567045853386031
+20 0 0 0 0 36 80 64 -0.459122770404238
+20 0 0 0 0 36 84 64 -0.316110640069499
+20 0 0 0 0 36 88 64 -0.146717342441159
+20 0 0 0 0 36 92 64 0.0344564118527246
+20 0 0 0 0 36 96 64 0.212856332547802
+20 0 0 0 0 36 100 64 0.374010450461751
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 0.300844196453243
+21 0 2 0 0 36 40 64 0.259875344698484
+21 0 2 0 0 36 41 64 0.216008367110848
+21 0 2 0 0 36 42 64 0.173246441710941
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+21 0 2 0 0 36 44 64 0.0838464497595055
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+21 0 2 0 0 36 46 64 -0.00717591134871572
+21 0 2 0 0 36 47 64 -0.0526038946131178
+21 0 2 0 0 36 48 64 -0.0978348200593294
+21 0 2 0 0 36 49 64 -0.142422015828936
+21 0 2 0 0 36 50 64 -0.186369801516471
+21 0 2 0 0 36 51 64 -0.229287411008914
+21 0 2 0 0 36 52 64 -0.271078146932538
+21 0 2 0 0 36 53 64 -0.311406010816341
+21 0 2 0 0 36 54 64 -0.350217430361178
+21 0 2 0 0 36 55 64 -0.38704057772604
+21 0 2 0 0 36 56 64 -0.422130385289875
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+21 0 2 0 0 36 58 64 -0.485469779039371
+21 0 2 0 0 36 59 64 -0.513380282706289
+21 0 2 0 0 36 60 64 -0.539178713839917
+21 0 2 0 0 36 61 64 -0.561783999941456
+21 0 2 0 0 36 62 64 -0.582059345539764
+21 0 2 0 0 36 63 64 -0.599130494636651
+21 0 2 0 0 36 64 64 -0.613097475856869
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 0.253687953865645
+22 0 2 0 0 36 40 64 0.211179727541262
+22 0 2 0 0 36 41 64 0.16609261546683
+22 0 2 0 0 36 42 64 0.122451505487294
+22 0 2 0 0 36 43 64 0.0768692684551277
+22 0 2 0 0 36 44 64 0.0318603392285052
+22 0 2 0 0 36 45 64 -0.0139470023211567
+22 0 2 0 0 36 46 64 -0.0593293031760204
+22 0 2 0 0 36 47 64 -0.104474586276313
+22 0 2 0 0 36 48 64 -0.149110776595062
+22 0 2 0 0 36 49 64 -0.192844583504653
+22 0 2 0 0 36 50 64 -0.235689964548914
+22 0 2 0 0 36 51 64 -0.277227745945389
+22 0 2 0 0 36 52 64 -0.317412513910549
+22 0 2 0 0 36 53 64 -0.355865173613349
+22 0 2 0 0 36 54 64 -0.392608258145645
+22 0 2 0 0 36 55 64 -0.427107908874333
+22 0 2 0 0 36 56 64 -0.459727453232636
+22 0 2 0 0 36 57 64 -0.489651093130384
+22 0 2 0 0 36 58 64 -0.517574392685524
+22 0 2 0 0 36 59 64 -0.542505131800701
+22 0 2 0 0 36 60 64 -0.5651608648499
+22 0 2 0 0 36 61 64 -0.584437200121733
+22 0 2 0 0 36 62 64 -0.601335538369798
+22 0 2 0 0 36 63 64 -0.614880712649836
+22 0 2 0 0 36 64 64 -0.625260839677209
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 0.623883274708678
+22 0 1 0 0 36 28 64 0.597961122071803
+22 0 1 0 0 36 30 64 0.55521704654599
+22 0 1 0 0 36 32 64 0.502498568836776
+22 0 1 0 0 36 34 64 0.44262489588619
+22 0 1 0 0 36 36 64 0.371390542974891
+22 0 1 0 0 36 38 64 0.294722271371602
+22 0 1 0 0 36 40 64 0.211179727541262
+22 0 1 0 0 36 42 64 0.122451505487294
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+22 0 1 0 0 36 46 64 -0.0593293031760204
+22 0 1 0 0 36 48 64 -0.149110776595062
+22 0 1 0 0 36 50 64 -0.235689964548914
+22 0 1 0 0 36 52 64 -0.317412513910549
+22 0 1 0 0 36 54 64 -0.392608258145645
+22 0 1 0 0 36 56 64 -0.459727453232636
+22 0 1 0 0 36 58 64 -0.517574392685524
+22 0 1 0 0 36 60 64 -0.5651608648499
+22 0 1 0 0 36 62 64 -0.601335538369798
+22 0 1 0 0 36 64 64 -0.625260839677209
+22 0 1 0 0 36 66 64 -0.634821055180684
+22 0 1 0 0 36 68 64 -0.634149274609067
+22 0 1 0 0 36 70 64 -0.619123066356903
+22 0 1 0 0 36 72 64 -0.592624987274439
+22 0 1 0 0 36 74 64 -0.558431787723875
+22 0 1 0 0 36 76 64 -0.512209801064185
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 0.205170226940535
+23 0 2 0 0 36 40 64 0.161391187752208
+23 0 2 0 0 36 41 64 0.11505092599853
+23 0 2 0 0 36 42 64 0.0708345434502088
+23 0 2 0 0 36 43 64 0.0247328983483017
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+23 0 2 0 0 36 46 64 -0.11107167454957
+23 0 2 0 0 36 47 64 -0.155643052161306
+23 0 2 0 0 36 48 64 -0.199374522387455
+23 0 2 0 0 36 49 64 -0.241968058145317
+23 0 2 0 0 36 50 64 -0.283422755117539
+23 0 2 0 0 36 51 64 -0.323298638231267
+23 0 2 0 0 36 52 64 -0.361609344577792
+23 0 2 0 0 36 53 64 -0.397922922764537
+23 0 2 0 0 36 54 64 -0.432354663206006
+23 0 2 0 0 36 55 64 -0.46430486701968
+23 0 2 0 0 36 56 64 -0.494241050863663
+23 0 2 0 0 36 57 64 -0.521308747205443
+23 0 2 0 0 36 58 64 -0.546223006271433
+23 0 2 0 0 36 59 64 -0.567990886532603
+23 0 2 0 0 36 60 64 -0.587360029804813
+23 0 2 0 0 36 61 64 -0.6031449783198
+23 0 2 0 0 36 62 64 -0.616577220689613
+23 0 2 0 0 36 63 64 -0.62645828814271
+23 0 2 0 0 36 64 64 -0.633107661820204
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 0.154939070015001
+24 0 2 0 0 36 40 64 0.110188431570105
+24 0 2 0 0 36 41 64 0.0632244711482506
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+24 0 2 0 0 36 47 64 -0.205768288232116
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+24 0 2 0 0 36 50 64 -0.329248334592206
+24 0 2 0 0 36 51 64 -0.367192490401635
+24 0 2 0 0 36 52 64 -0.403374390285728
+24 0 2 0 0 36 53 64 -0.437301277577492
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+24 0 2 0 0 36 55 64 -0.498391483325395
+24 0 2 0 0 36 56 64 -0.525449373921503
+24 0 2 0 0 36 57 64 -0.549488233383552
+24 0 2 0 0 36 58 64 -0.571229505870372
+24 0 2 0 0 36 59 64 -0.589661964939013
+24 0 2 0 0 36 60 64 -0.605628866699573
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+24 0 2 0 0 36 62 64 -0.627687061108842
+24 0 2 0 0 36 63 64 -0.633784145240549
+24 0 2 0 0 36 64 64 -0.636732563809461
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 0.59303854147112
+24 0 1 0 0 36 28 64 0.553202534041964
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+24 0 1 0 0 36 72 64 -0.547180593823657
+24 0 1 0 0 36 74 64 -0.50051964838767
+24 0 1 0 0 36 76 64 -0.44236172303217
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 0.0601347218407749
+24 0 0 0 0 36 4 64 0.236957446467389
+24 0 0 0 0 36 8 64 0.394656522707972
+24 0 0 0 0 36 12 64 0.520374608331503
+24 0 0 0 0 36 16 64 0.603882176524757
+24 0 0 0 0 36 20 64 0.638499578345995
+24 0 0 0 0 36 24 64 0.620283798923382
+24 0 0 0 0 36 28 64 0.553202534041964
+24 0 0 0 0 36 32 64 0.432525696152888
+24 0 0 0 0 36 36 64 0.281888058920602
+24 0 0 0 0 36 40 64 0.110188431570105
+24 0 0 0 0 36 44 64 -0.0724021157683745
+24 0 0 0 0 36 48 64 -0.248288712885692
+24 0 0 0 0 36 52 64 -0.403374390285728
+24 0 0 0 0 36 56 64 -0.525449373921503
+24 0 0 0 0 36 60 64 -0.605628866699573
+24 0 0 0 0 36 64 64 -0.636732563809461
+24 0 0 0 0 36 68 64 -0.616307728294757
+24 0 0 0 0 36 72 64 -0.547180593823657
+24 0 0 0 0 36 76 64 -0.44236172303217
+24 0 0 0 0 36 80 64 -0.2923178765557
+24 0 0 0 0 36 84 64 -0.1218548916094
+24 0 0 0 0 36 88 64 0.0601347218407749
+24 0 0 0 0 36 92 64 0.236957446467389
+24 0 0 0 0 36 96 64 0.394656522707972
+24 0 0 0 0 36 100 64 0.520374608331503
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vz.zl b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vz.zl
new file mode 100644
index 000000000..ba8864e92
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/doubletoy_periodic_coarse_rl3/vz.zl
@@ -0,0 +1,1757 @@
+# HYDROTOY::vz z (vz)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 0.132428472368254
+0 0 2 0 0 36 48 52 0.196827067972688
+0 0 2 0 0 36 48 53 0.259069185031701
+0 0 2 0 0 36 48 54 0.318472885885794
+0 0 2 0 0 36 48 55 0.374387331157387
+0 0 2 0 0 36 48 56 0.426199910483233
+0 0 2 0 0 36 48 57 0.473342954401761
+0 0 2 0 0 36 48 58 0.515299953858481
+0 0 2 0 0 36 48 59 0.55161121918728
+0 0 2 0 0 36 48 60 0.581878916566594
+0 0 2 0 0 36 48 61 0.605771426770014
+0 0 2 0 0 36 48 62 0.62302697845592
+0 0 2 0 0 36 48 63 0.633456516189086
+0 0 2 0 0 36 48 64 0.636945771771587
+0 0 2 0 0 36 48 65 0.633456516189086
+0 0 2 0 0 36 48 66 0.62302697845592
+0 0 2 0 0 36 48 67 0.605771426770014
+0 0 2 0 0 36 48 68 0.581878916566594
+0 0 2 0 0 36 48 69 0.55161121918728
+0 0 2 0 0 36 48 70 0.515299953858481
+0 0 2 0 0 36 48 71 0.47334295440176
+0 0 2 0 0 36 48 72 0.426199910483233
+0 0 2 0 0 36 48 73 0.374387331157387
+0 0 2 0 0 36 48 74 0.318472885885794
+0 0 2 0 0 36 48 75 0.259069185031701
+0 0 2 0 0 36 48 76 0.196827067972688
+0 0 2 0 0 36 48 77 0.132428472368254
+0 0 2 0 0 36 48 78 0.0665789627081145
+0 0 2 0 0 36 48 79 1.02901299771943e-15
+0 0 2 0 0 36 48 80 -0.0665789627081124
+0 0 2 0 0 36 48 81 -0.132428472368252
+0 0 2 0 0 36 48 82 -0.196827067972686
+0 0 2 0 0 36 48 83 -0.259069185031699
+0 0 2 0 0 36 48 84 -0.318472885885792
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -0.636945771771587
+0 0 1 0 0 36 48 36 -0.62302697845592
+0 0 1 0 0 36 48 38 -0.581878916566593
+0 0 1 0 0 36 48 40 -0.515299953858479
+0 0 1 0 0 36 48 42 -0.426199910483232
+0 0 1 0 0 36 48 44 -0.318472885885792
+0 0 1 0 0 36 48 46 -0.196827067972686
+0 0 1 0 0 36 48 48 -0.0665789627081123
+0 0 1 0 0 36 48 50 0.0665789627081145
+0 0 1 0 0 36 48 52 0.196827067972688
+0 0 1 0 0 36 48 54 0.318472885885794
+0 0 1 0 0 36 48 56 0.426199910483233
+0 0 1 0 0 36 48 58 0.515299953858481
+0 0 1 0 0 36 48 60 0.581878916566594
+0 0 1 0 0 36 48 62 0.62302697845592
+0 0 1 0 0 36 48 64 0.636945771771587
+0 0 1 0 0 36 48 66 0.62302697845592
+0 0 1 0 0 36 48 68 0.581878916566594
+0 0 1 0 0 36 48 70 0.515299953858481
+0 0 1 0 0 36 48 72 0.426199910483233
+0 0 1 0 0 36 48 74 0.318472885885794
+0 0 1 0 0 36 48 76 0.196827067972688
+0 0 1 0 0 36 48 78 0.0665789627081145
+0 0 1 0 0 36 48 80 -0.0665789627081124
+0 0 1 0 0 36 48 82 -0.196827067972686
+0 0 1 0 0 36 48 84 -0.318472885885792
+0 0 1 0 0 36 48 86 -0.426199910483232
+0 0 1 0 0 36 48 88 -0.515299953858479
+0 0 1 0 0 36 48 90 -0.581878916566593
+0 0 1 0 0 36 48 92 -0.62302697845592
+0 0 1 0 0 36 48 94 -0.636945771771587
+0 0 1 0 0 36 48 96 -0.62302697845592
+0 0 1 0 0 36 48 98 -0.581878916566595
+0 0 1 0 0 36 48 100 -0.515299953858482
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 0.581878916566596
+0 0 0 0 0 36 48 4 0.636945771771587
+0 0 0 0 0 36 48 8 0.581878916566593
+0 0 0 0 0 36 48 12 0.42619991048323
+0 0 0 0 0 36 48 16 0.196827067972683
+0 0 0 0 0 36 48 20 -0.0665789627081168
+0 0 0 0 0 36 48 24 -0.318472885885796
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+0 0 0 0 0 36 48 32 -0.62302697845592
+0 0 0 0 0 36 48 36 -0.62302697845592
+0 0 0 0 0 36 48 40 -0.515299953858479
+0 0 0 0 0 36 48 44 -0.318472885885792
+0 0 0 0 0 36 48 48 -0.0665789627081123
+0 0 0 0 0 36 48 52 0.196827067972688
+0 0 0 0 0 36 48 56 0.426199910483233
+0 0 0 0 0 36 48 60 0.581878916566594
+0 0 0 0 0 36 48 64 0.636945771771587
+0 0 0 0 0 36 48 68 0.581878916566594
+0 0 0 0 0 36 48 72 0.426199910483233
+0 0 0 0 0 36 48 76 0.196827067972688
+0 0 0 0 0 36 48 80 -0.0665789627081124
+0 0 0 0 0 36 48 84 -0.318472885885792
+0 0 0 0 0 36 48 88 -0.515299953858479
+0 0 0 0 0 36 48 92 -0.62302697845592
+0 0 0 0 0 36 48 96 -0.62302697845592
+0 0 0 0 0 36 48 100 -0.515299953858482
+0 0 0 0 0 36 48 104 -0.318472885885796
+0 0 0 0 0 36 48 108 -0.0665789627081168
+0 0 0 0 0 36 48 112 0.196827067972684
+0 0 0 0 0 36 48 116 0.42619991048323
+0 0 0 0 0 36 48 120 0.581878916566593
+0 0 0 0 0 36 48 124 0.636945771771587
+0 0 0 0 0 36 48 128 0.581878916566596
+0 0 0 0 0 36 48 132 0.426199910483237
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 0.182859447316177
+1 0 2 0 0 36 48 52 0.245643801244416
+1 0 2 0 0 36 48 53 0.306113746344868
+1 0 2 0 0 36 48 54 0.362662712095609
+1 0 2 0 0 36 48 55 0.415409387819283
+1 0 2 0 0 36 48 56 0.463604751360005
+1 0 2 0 0 36 48 57 0.506720764229297
+1 0 2 0 0 36 48 58 0.544285038367555
+1 0 2 0 0 36 48 59 0.575886011726491
+1 0 2 0 0 36 48 60 0.601177457429057
+1 0 2 0 0 36 48 61 0.619882277103558
+1 0 2 0 0 36 48 62 0.631795536831408
+1 0 2 0 0 36 48 63 0.636786712446016
+1 0 2 0 0 36 48 64 0.63480111958288
+1 0 2 0 0 36 48 65 0.625860512812919
+1 0 2 0 0 36 48 66 0.610062847294848
+1 0 2 0 0 36 48 67 0.587581205557956
+1 0 2 0 0 36 48 68 0.558661901173699
+1 0 2 0 0 36 48 69 0.523621780092664
+1 0 2 0 0 36 48 70 0.482844749214032
+1 0 2 0 0 36 48 71 0.436777570221252
+1 0 2 0 0 36 48 72 0.385924964767545
+1 0 2 0 0 36 48 73 0.330844084639854
+1 0 2 0 0 36 48 74 0.272138407487272
+1 0 2 0 0 36 48 75 0.210451124993638
+1 0 2 0 0 36 48 76 0.146458095934844
+1 0 2 0 0 36 48 77 0.0808604413286607
+1 0 2 0 0 36 48 78 0.0143768628061456
+1 0 2 0 0 36 48 79 -0.0522642316338257
+1 0 2 0 0 36 48 80 -0.118332708215023
+1 0 2 0 0 36 48 81 -0.183104706882305
+1 0 2 0 0 36 48 82 -0.245657945116037
+1 0 2 0 0 36 48 83 -0.305714876553033
+1 0 2 0 0 36 48 84 -0.362463799340455
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 0.232337107018868
+2 0 2 0 0 36 48 52 0.293071522772709
+2 0 2 0 0 36 48 53 0.351147826977075
+2 0 2 0 0 36 48 54 0.404371754199994
+2 0 2 0 0 36 48 55 0.453635055998284
+2 0 2 0 0 36 48 56 0.497882717260096
+2 0 2 0 0 36 48 57 0.536680818737284
+2 0 2 0 0 36 48 58 0.569598932856705
+2 0 2 0 0 36 48 59 0.596276401871507
+2 0 2 0 0 36 48 60 0.616420941848548
+2 0 2 0 0 36 48 61 0.62981184499232
+2 0 2 0 0 36 48 62 0.636302397765754
+2 0 2 0 0 36 48 63 0.63582148831443
+2 0 2 0 0 36 48 64 0.628374385582933
+2 0 2 0 0 36 48 65 0.614042681587195
+2 0 2 0 0 36 48 66 0.592983397475296
+2 0 2 0 0 36 48 67 0.565427263170904
+2 0 2 0 0 36 48 68 0.53167618944795
+2 0 2 0 0 36 48 69 0.492099960133009
+2 0 2 0 0 36 48 70 0.447132180676314
+2 0 2 0 0 36 48 71 0.397265527479704
+2 0 2 0 0 36 48 72 0.343046350030871
+2 0 2 0 0 36 48 73 0.285068684984036
+2 0 2 0 0 36 48 74 0.223967747770058
+2 0 2 0 0 36 48 75 0.160412973043247
+2 0 2 0 0 36 48 76 0.0951006802152018
+2 0 2 0 0 36 48 77 0.0287464444336219
+2 0 2 0 0 36 48 78 -0.037922743408753
+2 0 2 0 0 36 48 79 -0.104176441738497
+2 0 2 0 0 36 48 80 -0.169282116580113
+2 0 2 0 0 36 48 81 -0.23250482341455
+2 0 2 0 0 36 48 82 -0.292780323319293
+2 0 2 0 0 36 48 83 -0.350568793144779
+2 0 2 0 0 36 48 84 -0.404256490972884
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -0.628552655248775
+2 0 1 0 0 36 48 36 -0.594053210778659
+2 0 1 0 0 36 48 38 -0.533298370918345
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+2 0 1 0 0 36 48 54 0.404371754199994
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+2 0 1 0 0 36 48 62 0.636302397765754
+2 0 1 0 0 36 48 64 0.628374385582933
+2 0 1 0 0 36 48 66 0.592983397475296
+2 0 1 0 0 36 48 68 0.53167618944795
+2 0 1 0 0 36 48 70 0.447132180676314
+2 0 1 0 0 36 48 72 0.343046350030871
+2 0 1 0 0 36 48 74 0.223967747770058
+2 0 1 0 0 36 48 76 0.0951006802152018
+2 0 1 0 0 36 48 78 -0.037922743408753
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+2 0 1 0 0 36 48 98 -0.532764421039846
+2 0 1 0 0 36 48 100 -0.448932909375275
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 0.279960389178979
+3 0 2 0 0 36 48 52 0.338260738429065
+3 0 2 0 0 36 48 53 0.393850730677218
+3 0 2 0 0 36 48 54 0.44331987017117
+3 0 2 0 0 36 48 55 0.488821004714814
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+3 0 2 0 0 36 48 61 0.635493090592529
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+3 0 2 0 0 36 48 63 0.630567307214526
+3 0 2 0 0 36 48 64 0.617708880845281
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+3 0 2 0 0 36 48 67 0.539459022010052
+3 0 2 0 0 36 48 68 0.501103804795591
+3 0 2 0 0 36 48 69 0.457258389433075
+3 0 2 0 0 36 48 70 0.408403155468462
+3 0 2 0 0 36 48 71 0.355073371068681
+3 0 2 0 0 36 48 72 0.297853328511592
+3 0 2 0 0 36 48 73 0.237369942557514
+3 0 2 0 0 36 48 74 0.174285881839922
+3 0 2 0 0 36 48 75 0.109292308529226
+3 0 2 0 0 36 48 76 0.0431013058153983
+3 0 2 0 0 36 48 77 -0.0235619238244712
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+3 0 2 0 0 36 48 83 -0.392606530564375
+3 0 2 0 0 36 48 84 -0.443098471946599
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 0.326042072362713
+4 0 2 0 0 36 48 52 0.381494612922986
+4 0 2 0 0 36 48 53 0.433912397751943
+4 0 2 0 0 36 48 54 0.479234096800829
+4 0 2 0 0 36 48 55 0.520740852718096
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+4 0 2 0 0 36 48 58 0.608555668924881
+4 0 2 0 0 36 48 59 0.624880661638654
+4 0 2 0 0 36 48 60 0.634359232314705
+4 0 2 0 0 36 48 61 0.636887635715436
+4 0 2 0 0 36 48 62 0.632438164901962
+4 0 2 0 0 36 48 63 0.621059569207628
+4 0 2 0 0 36 48 64 0.602876514907985
+4 0 2 0 0 36 48 65 0.578088219350988
+4 0 2 0 0 36 48 66 0.546966268290045
+4 0 2 0 0 36 48 67 0.509851640333666
+4 0 2 0 0 36 48 68 0.467150971112477
+4 0 2 0 0 36 48 69 0.419332098094154
+4 0 2 0 0 36 48 70 0.366918934858229
+4 0 2 0 0 36 48 71 0.310485730989273
+4 0 2 0 0 36 48 72 0.250650780478283
+4 0 2 0 0 36 48 73 0.188069647564324
+4 0 2 0 0 36 48 74 0.123427984235547
+4 0 2 0 0 36 48 75 0.0574340180825193
+4 0 2 0 0 36 48 76 -0.00918920070260229
+4 0 2 0 0 36 48 77 -0.0757116459245807
+4 0 2 0 0 36 48 78 -0.141402525493125
+4 0 2 0 0 36 48 79 -0.205536522941532
+4 0 2 0 0 36 48 80 -0.267336615368259
+4 0 2 0 0 36 48 81 -0.326141393008313
+4 0 2 0 0 36 48 82 -0.380701811631095
+4 0 2 0 0 36 48 83 -0.432518800324086
+4 0 2 0 0 36 48 84 -0.479240571873759
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -0.603952191874012
+4 0 1 0 0 36 48 36 -0.548892104535778
+4 0 1 0 0 36 48 38 -0.470028735205484
+4 0 1 0 0 36 48 40 -0.367140789716871
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+4 0 1 0 0 36 48 56 0.556145404649794
+4 0 1 0 0 36 48 58 0.608555668924881
+4 0 1 0 0 36 48 60 0.634359232314705
+4 0 1 0 0 36 48 62 0.632438164901962
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+4 0 1 0 0 36 48 66 0.546966268290045
+4 0 1 0 0 36 48 68 0.467150971112477
+4 0 1 0 0 36 48 70 0.366918934858229
+4 0 1 0 0 36 48 72 0.250650780478283
+4 0 1 0 0 36 48 74 0.123427984235547
+4 0 1 0 0 36 48 76 -0.00918920070260229
+4 0 1 0 0 36 48 78 -0.141402525493125
+4 0 1 0 0 36 48 80 -0.267336615368259
+4 0 1 0 0 36 48 82 -0.380701811631095
+4 0 1 0 0 36 48 84 -0.479240571873759
+4 0 1 0 0 36 48 86 -0.555991572804123
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+4 0 1 0 0 36 48 90 -0.634397166623412
+4 0 1 0 0 36 48 92 -0.632529630971321
+4 0 1 0 0 36 48 94 -0.602916000277718
+4 0 1 0 0 36 48 96 -0.544981063274879
+4 0 1 0 0 36 48 98 -0.469079251221587
+4 0 1 0 0 36 48 100 -0.369418369953891
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 0.634847735200847
+4 0 0 0 0 36 48 4 0.604381951846525
+4 0 0 0 0 36 48 8 0.469413038380274
+4 0 0 0 0 36 48 12 0.253278346094499
+4 0 0 0 0 36 48 16 -0.00665047319255438
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+4 0 0 0 0 36 48 40 -0.367140789716871
+4 0 0 0 0 36 48 44 -0.123895196481672
+4 0 0 0 0 36 48 48 0.140973507602591
+4 0 0 0 0 36 48 52 0.381494612922986
+4 0 0 0 0 36 48 56 0.556145404649794
+4 0 0 0 0 36 48 60 0.634359232314705
+4 0 0 0 0 36 48 64 0.602876514907985
+4 0 0 0 0 36 48 68 0.467150971112477
+4 0 0 0 0 36 48 72 0.250650780478283
+4 0 0 0 0 36 48 76 -0.00918920070260229
+4 0 0 0 0 36 48 80 -0.267336615368259
+4 0 0 0 0 36 48 84 -0.479240571873759
+4 0 0 0 0 36 48 88 -0.608496017634465
+4 0 0 0 0 36 48 92 -0.632529630971321
+4 0 0 0 0 36 48 96 -0.544981063274879
+4 0 0 0 0 36 48 100 -0.369418369953891
+4 0 0 0 0 36 48 104 -0.126068843146442
+4 0 0 0 0 36 48 108 0.139079131940511
+4 0 0 0 0 36 48 112 0.380179061620702
+4 0 0 0 0 36 48 116 0.555542577728327
+4 0 0 0 0 36 48 120 0.634847735200847
+4 0 0 0 0 36 48 124 0.604381951846525
+4 0 0 0 0 36 48 128 0.469413038380274
+4 0 0 0 0 36 48 132 0.253278346094499
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 0.369620235121816
+5 0 2 0 0 36 48 52 0.421853435157386
+5 0 2 0 0 36 48 53 0.471040817256664
+5 0 2 0 0 36 48 54 0.511887211327419
+5 0 2 0 0 36 48 55 0.549190958467689
+5 0 2 0 0 36 48 56 0.57972673519245
+5 0 2 0 0 36 48 57 0.604164247116753
+5 0 2 0 0 36 48 58 0.621935063982336
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+5 0 2 0 0 36 48 83 -0.468968176288585
+5 0 2 0 0 36 48 84 -0.511945952741651
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 0.410999865169581
+6 0 2 0 0 36 48 52 0.459643775497959
+6 0 2 0 0 36 48 53 0.504978477270698
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+6 0 2 0 0 36 48 71 0.215341318404064
+6 0 2 0 0 36 48 72 0.151502287224882
+6 0 2 0 0 36 48 73 0.0860033653319915
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+6 0 2 0 0 36 48 83 -0.502860055960017
+6 0 2 0 0 36 48 84 -0.541460227221178
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -0.563884077634816
+6 0 1 0 0 36 48 36 -0.48985993946387
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+6 0 1 0 0 36 48 100 -0.282166175168066
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 0.449338523302173
+7 0 2 0 0 36 48 52 0.494053465005524
+7 0 2 0 0 36 48 53 0.535484237532978
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+7 0 2 0 0 36 48 84 -0.567161837263021
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 0.484882968613644
+8 0 2 0 0 36 48 52 0.525353226659808
+8 0 2 0 0 36 48 53 0.562357142448502
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+8 0 2 0 0 36 48 83 -0.559808023901149
+8 0 2 0 0 36 48 84 -0.589257968883621
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -0.507666077925392
+8 0 1 0 0 36 48 36 -0.416184622317406
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+8 0 1 0 0 36 48 100 -0.185373045159889
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 0.621361463077223
+8 0 0 0 0 36 48 4 0.508360375451158
+8 0 0 0 0 36 48 8 0.307459160600559
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+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 0.516929573510861
+9 0 2 0 0 36 48 52 0.552869862228206
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+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 0.545672719020585
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+10 0 2 0 0 36 48 84 -0.621322912730077
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+10 0 1 0 0 36 48 100 -0.0861901861139343
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 0.570552177819203
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+11 0 2 0 0 36 48 84 -0.631112533127182
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 0.591719804895147
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+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -0.357269358807808
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+12 0 1 0 0 36 48 100 0.0177661373646553
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 0.542663970499056
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+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 0.608757845205151
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+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 0.621781049783119
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+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 0.635040635453942
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+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+18 0 2 0 0 36 48 79 -0.632466756540768
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+18 0 2 0 0 36 48 83 -0.604468793835169
+18 0 2 0 0 36 48 84 -0.580823871417012
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 -0.0673102314701235
+18 0 1 0 0 36 48 36 0.0681059372782441
+18 0 1 0 0 36 48 38 0.207247840147393
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+18 0 1 0 0 36 48 56 0.508761256584363
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+18 0 1 0 0 36 48 98 0.191567206873461
+18 0 1 0 0 36 48 100 0.311579385563463
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 0.622767262234658
+19 0 2 0 0 36 48 52 0.605590737956845
+19 0 2 0 0 36 48 53 0.586383633512686
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+19 0 2 0 0 36 48 63 0.0729910102870635
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+19 0 2 0 0 36 48 83 -0.585687005514906
+19 0 2 0 0 36 48 84 -0.557251491172607
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 0.610134417697536
+20 0 2 0 0 36 48 52 0.587671432498607
+20 0 2 0 0 36 48 53 0.563435464633688
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+20 0 2 0 0 36 48 83 -0.56329963223701
+20 0 2 0 0 36 48 84 -0.529768389081474
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 0.0383825542772788
+20 0 1 0 0 36 48 36 0.172219159433572
+20 0 1 0 0 36 48 38 0.304714146689061
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+20 0 1 0 0 36 48 90 -0.217425792275713
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+20 0 1 0 0 36 48 94 0.0403083852655453
+20 0 1 0 0 36 48 96 0.165750957460558
+20 0 1 0 0 36 48 98 0.287775509230891
+20 0 1 0 0 36 48 100 0.398394607299534
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 0.228092326204497
+20 0 0 0 0 36 48 4 -0.0344576734701573
+20 0 0 0 0 36 48 8 -0.291047497445495
+20 0 0 0 0 36 48 12 -0.497312592198739
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+20 0 0 0 0 36 48 44 0.572824637407473
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+20 0 0 0 0 36 48 52 0.587671432498607
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+20 0 0 0 0 36 48 96 0.165750957460558
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+20 0 0 0 0 36 48 124 -0.0344576734701573
+20 0 0 0 0 36 48 128 -0.291047497445495
+20 0 0 0 0 36 48 132 -0.497312592198739
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 0.593444564628293
+21 0 2 0 0 36 48 52 0.565890263067954
+21 0 2 0 0 36 48 53 0.536654723589431
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+21 0 2 0 0 36 48 56 0.400091128957395
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+21 0 2 0 0 36 48 83 -0.53678569557811
+21 0 2 0 0 36 48 84 -0.498898717639375
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 0.572632280977383
+22 0 2 0 0 36 48 52 0.540138912586285
+22 0 2 0 0 36 48 53 0.506236282854564
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+22 0 2 0 0 36 48 55 0.414229869488081
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+22 0 2 0 0 36 48 83 -0.506921184746363
+22 0 2 0 0 36 48 84 -0.464467759347723
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 0.140401812911275
+22 0 1 0 0 36 48 36 0.268799987190813
+22 0 1 0 0 36 48 38 0.393846849333374
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+22 0 1 0 0 36 48 98 0.373584744127879
+22 0 1 0 0 36 48 100 0.472740492521142
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 0.548075038727774
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+23 0 2 0 0 36 48 53 0.472393335884057
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+23 0 2 0 0 36 48 84 -0.427146580959282
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 0.519668173059994
+24 0 2 0 0 36 48 52 0.478055633779831
+24 0 2 0 0 36 48 53 0.435371799835653
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+24 0 2 0 0 36 48 84 -0.386711493556463
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 0.241222183454859
+24 0 1 0 0 36 48 36 0.360673445307137
+24 0 1 0 0 36 48 38 0.472255834786998
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+24 0 1 0 0 36 48 96 0.349804989157085
+24 0 1 0 0 36 48 98 0.45284734267347
+24 0 1 0 0 36 48 100 0.53691973212252
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 0.0250520622042941
+24 0 0 0 0 36 48 4 -0.2369648080057
+24 0 0 0 0 36 48 8 -0.457995230719076
+24 0 0 0 0 36 48 12 -0.599834516037199
+24 0 0 0 0 36 48 16 -0.637951062978087
+24 0 0 0 0 36 48 20 -0.565702158332386
+24 0 0 0 0 36 48 24 -0.395474718475438
+24 0 0 0 0 36 48 28 -0.155905867316821
+24 0 0 0 0 36 48 32 0.111277732565578
+24 0 0 0 0 36 48 36 0.360673445307137
+24 0 0 0 0 36 48 40 0.54144154214976
+24 0 0 0 0 36 48 44 0.631531037200588
+24 0 0 0 0 36 48 48 0.608563245214247
+24 0 0 0 0 36 48 52 0.478055633779831
+24 0 0 0 0 36 48 56 0.267274359837235
+24 0 0 0 0 36 48 60 0.0102955850539682
+24 0 0 0 0 36 48 64 -0.248288712885692
+24 0 0 0 0 36 48 68 -0.464681816329975
+24 0 0 0 0 36 48 72 -0.600329581582246
+24 0 0 0 0 36 48 76 -0.632076286729469
+24 0 0 0 0 36 48 80 -0.557208232481244
+24 0 0 0 0 36 48 84 -0.386711493556463
+24 0 0 0 0 36 48 88 -0.146489296517055
+24 0 0 0 0 36 48 92 0.114742474128937
+24 0 0 0 0 36 48 96 0.349804989157085
+24 0 0 0 0 36 48 100 0.53691973212252
+24 0 0 0 0 36 48 104 0.635037318340126
+24 0 0 0 0 36 48 108 0.614007735090483
+24 0 0 0 0 36 48 112 0.491842833568975
+24 0 0 0 0 36 48 116 0.282643010626413
+24 0 0 0 0 36 48 120 0.0250520622042941
+24 0 0 0 0 36 48 124 -0.2369648080057
+24 0 0 0 0 36 48 128 -0.457995230719076
+24 0 0 0 0 36 48 132 -0.599834516037199
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse.log b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse.log
new file mode 100644
index 000000000..806dd2107
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse.log
@@ -0,0 +1,124 @@
+--------------------------------------------------------------------------------
+
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+
+Cactus version: 4.0.b11
+Compile date: Nov 30 2001 (15:23:02)
+Run date: Dec 3 2001 (11:33:23)
+Run host: lilypond.tat.physik.uni-tuebingen.de
+Parameter file: /home/eschnett/Calpha/Cactus/arrangements/Carpet/SpaceTimeToy/test/spacetimetoy_periodic_coarse.par
+--------------------------------------------------------------------------------
+
+Activating thorn Cactus...Success -> active implementation Cactus
+Activation requested for
+--->Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetSlab IDSpaceTimeToy SpaceTimeToy Hydrotoy<---
+Activating thorn Boundary...Success -> active implementation boundary
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Hydrotoy...Success -> active implementation hydrotoy
+Activating thorn IDSpaceTimeToy...Success -> active implementation idspacetimetoy
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn SpaceTimeToy...Success -> active implementation spacetimetoy
+Activating thorn Time...Success -> active implementation time
+--------------------------------------------------------------------------------
+ if (recover)
+ Recover parameters
+ endif
+
+ Startup routines
+ Carpet: Startup routine
+ IOUtil: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IDSpaceTimeToy: Register banner
+ IOBasic: Startup routine
+ CarpetIOASCII: Startup routine
+ SpaceTimeToy: Register banner
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ SpaceTimeToy: Schedule symmetries
+ Time: Initialise Time variables
+ Time: Set timestep based on Courant condition
+ IDSpaceTimeToy: Initial data for 3D wave equation
+ if (recover)
+ endif
+ if (checkpoint initial data)
+ endif
+ if (analysis)
+ endif
+
+ do loop over timesteps
+ Rotate timelevels
+ iteration = iteration + 1
+ t = t+dt
+ SpaceTimeToy: Initial Euler step
+ while (SpaceTimeToy::do_iterate)
+ SpaceTimeToy: One ICN step
+ end while
+ if (checkpoint)
+ endif
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+IDSpaceTimeToy: Initial data for two Scalar Fields
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+SpaceTimeToy: Evolutions of two Scalar Fields
+--------------------------------------------------------------------------------
+
+INFO (Carpet): Carpet is running on 1 processors
+INFO (IOBasic): I/O Method 'Scalar' registered
+INFO (IOBasic): Scalar: Output of scalar quantities (grid scalars, reductions) to ASCII files
+INFO (IOBasic): I/O Method 'Info' registered
+INFO (IOBasic): Info: Output of scalar quantities (grid scalars, reductions) to screen
+INFO (Cart3d): Cartesian coordinates:
+INFO (Cart3d): Whole grid: lower bound [-5.4, -7.2, -9.6]
+INFO (Cart3d): Whole grid: upper bound [5.4, 7.8, 10.2]
+INFO (Cart3d): Whole grid: extent [11.4, 15.6, 20.4]
+INFO (Cart3d): Interior: lower bound [-4.2, -6, -8.4]
+INFO (Cart3d): Interior: upper bound [4.2, 6.6, 9]
+INFO (Cart3d): Interior: extent [9, 13.2, 18]
+INFO (Cart3d): Grid spacing: [0.6, 0.6, 0.6]
+INFO (IOBasic): Scalar: Output every -1 iterations
+INFO (IOBasic): Info: Output every 1 iterations
+------------------
+ it | |
+ | t |
+------------------
+ 0 | 0.000 |
+ 1 | 0.300 |
+ 2 | 0.600 |
+ 3 | 0.900 |
+ 4 | 1.200 |
+ 5 | 1.500 |
+ 6 | 1.800 |
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse.par b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse.par
new file mode 100644
index 000000000..f9cc047a1
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse.par
@@ -0,0 +1,49 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse.par,v 1.5 2004/03/23 12:00:15 schnetter Exp $
+
+!DESC "SpaceTimeToy with periodic boundaries, no refinement"
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDSpaceTimeToy SpaceTimeToy Hydrotoy"
+
+Carpet::poison_new_timelevels = yes
+#Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 6
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "spacetimetoy_periodic_coarse"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "spacetimetoy::spacetimeevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "spacetimetoy::spacetimeevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "spacetimetoy::spacetimeevolve grid::coordinates"
+
+SpaceTimeToy::icn_iterations = 2
+SpaceTimeToy::bound = radiation
+
+HydroToy::hydrotoy_active = no
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDSpaceTimeToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDSpaceTimeToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_x.xl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_x.xl
new file mode 100644
index 000000000..4e6fc8f78
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_x.xl
@@ -0,0 +1,170 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -5.4
+0 0 0 0 0 1 12 16 -4.8
+0 0 0 0 0 2 12 16 -4.2
+0 0 0 0 0 3 12 16 -3.6
+0 0 0 0 0 4 12 16 -3
+0 0 0 0 0 5 12 16 -2.4
+0 0 0 0 0 6 12 16 -1.8
+0 0 0 0 0 7 12 16 -1.2
+0 0 0 0 0 8 12 16 -0.6
+0 0 0 0 0 9 12 16 4.44089209850063e-16
+0 0 0 0 0 10 12 16 0.600000000000001
+0 0 0 0 0 11 12 16 1.2
+0 0 0 0 0 12 12 16 1.8
+0 0 0 0 0 13 12 16 2.4
+0 0 0 0 0 14 12 16 3
+0 0 0 0 0 15 12 16 3.6
+0 0 0 0 0 16 12 16 4.2
+0 0 0 0 0 17 12 16 4.8
+0 0 0 0 0 18 12 16 5.4
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -5.4
+1 0 0 0 0 1 12 16 -4.8
+1 0 0 0 0 2 12 16 -4.2
+1 0 0 0 0 3 12 16 -3.6
+1 0 0 0 0 4 12 16 -3
+1 0 0 0 0 5 12 16 -2.4
+1 0 0 0 0 6 12 16 -1.8
+1 0 0 0 0 7 12 16 -1.2
+1 0 0 0 0 8 12 16 -0.6
+1 0 0 0 0 9 12 16 4.44089209850063e-16
+1 0 0 0 0 10 12 16 0.600000000000001
+1 0 0 0 0 11 12 16 1.2
+1 0 0 0 0 12 12 16 1.8
+1 0 0 0 0 13 12 16 2.4
+1 0 0 0 0 14 12 16 3
+1 0 0 0 0 15 12 16 3.6
+1 0 0 0 0 16 12 16 4.2
+1 0 0 0 0 17 12 16 4.8
+1 0 0 0 0 18 12 16 5.4
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -5.4
+2 0 0 0 0 1 12 16 -4.8
+2 0 0 0 0 2 12 16 -4.2
+2 0 0 0 0 3 12 16 -3.6
+2 0 0 0 0 4 12 16 -3
+2 0 0 0 0 5 12 16 -2.4
+2 0 0 0 0 6 12 16 -1.8
+2 0 0 0 0 7 12 16 -1.2
+2 0 0 0 0 8 12 16 -0.6
+2 0 0 0 0 9 12 16 4.44089209850063e-16
+2 0 0 0 0 10 12 16 0.600000000000001
+2 0 0 0 0 11 12 16 1.2
+2 0 0 0 0 12 12 16 1.8
+2 0 0 0 0 13 12 16 2.4
+2 0 0 0 0 14 12 16 3
+2 0 0 0 0 15 12 16 3.6
+2 0 0 0 0 16 12 16 4.2
+2 0 0 0 0 17 12 16 4.8
+2 0 0 0 0 18 12 16 5.4
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -5.4
+3 0 0 0 0 1 12 16 -4.8
+3 0 0 0 0 2 12 16 -4.2
+3 0 0 0 0 3 12 16 -3.6
+3 0 0 0 0 4 12 16 -3
+3 0 0 0 0 5 12 16 -2.4
+3 0 0 0 0 6 12 16 -1.8
+3 0 0 0 0 7 12 16 -1.2
+3 0 0 0 0 8 12 16 -0.6
+3 0 0 0 0 9 12 16 4.44089209850063e-16
+3 0 0 0 0 10 12 16 0.600000000000001
+3 0 0 0 0 11 12 16 1.2
+3 0 0 0 0 12 12 16 1.8
+3 0 0 0 0 13 12 16 2.4
+3 0 0 0 0 14 12 16 3
+3 0 0 0 0 15 12 16 3.6
+3 0 0 0 0 16 12 16 4.2
+3 0 0 0 0 17 12 16 4.8
+3 0 0 0 0 18 12 16 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -5.4
+4 0 0 0 0 1 12 16 -4.8
+4 0 0 0 0 2 12 16 -4.2
+4 0 0 0 0 3 12 16 -3.6
+4 0 0 0 0 4 12 16 -3
+4 0 0 0 0 5 12 16 -2.4
+4 0 0 0 0 6 12 16 -1.8
+4 0 0 0 0 7 12 16 -1.2
+4 0 0 0 0 8 12 16 -0.6
+4 0 0 0 0 9 12 16 4.44089209850063e-16
+4 0 0 0 0 10 12 16 0.600000000000001
+4 0 0 0 0 11 12 16 1.2
+4 0 0 0 0 12 12 16 1.8
+4 0 0 0 0 13 12 16 2.4
+4 0 0 0 0 14 12 16 3
+4 0 0 0 0 15 12 16 3.6
+4 0 0 0 0 16 12 16 4.2
+4 0 0 0 0 17 12 16 4.8
+4 0 0 0 0 18 12 16 5.4
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -5.4
+5 0 0 0 0 1 12 16 -4.8
+5 0 0 0 0 2 12 16 -4.2
+5 0 0 0 0 3 12 16 -3.6
+5 0 0 0 0 4 12 16 -3
+5 0 0 0 0 5 12 16 -2.4
+5 0 0 0 0 6 12 16 -1.8
+5 0 0 0 0 7 12 16 -1.2
+5 0 0 0 0 8 12 16 -0.6
+5 0 0 0 0 9 12 16 4.44089209850063e-16
+5 0 0 0 0 10 12 16 0.600000000000001
+5 0 0 0 0 11 12 16 1.2
+5 0 0 0 0 12 12 16 1.8
+5 0 0 0 0 13 12 16 2.4
+5 0 0 0 0 14 12 16 3
+5 0 0 0 0 15 12 16 3.6
+5 0 0 0 0 16 12 16 4.2
+5 0 0 0 0 17 12 16 4.8
+5 0 0 0 0 18 12 16 5.4
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -5.4
+6 0 0 0 0 1 12 16 -4.8
+6 0 0 0 0 2 12 16 -4.2
+6 0 0 0 0 3 12 16 -3.6
+6 0 0 0 0 4 12 16 -3
+6 0 0 0 0 5 12 16 -2.4
+6 0 0 0 0 6 12 16 -1.8
+6 0 0 0 0 7 12 16 -1.2
+6 0 0 0 0 8 12 16 -0.6
+6 0 0 0 0 9 12 16 4.44089209850063e-16
+6 0 0 0 0 10 12 16 0.600000000000001
+6 0 0 0 0 11 12 16 1.2
+6 0 0 0 0 12 12 16 1.8
+6 0 0 0 0 13 12 16 2.4
+6 0 0 0 0 14 12 16 3
+6 0 0 0 0 15 12 16 3.6
+6 0 0 0 0 16 12 16 4.2
+6 0 0 0 0 17 12 16 4.8
+6 0 0 0 0 18 12 16 5.4
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_x.yl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_x.yl
new file mode 100644
index 000000000..467676ecc
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_x.yl
@@ -0,0 +1,219 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 4.44089209850063e-16
+0 0 0 0 0 9 1 16 4.44089209850063e-16
+0 0 0 0 0 9 2 16 4.44089209850063e-16
+0 0 0 0 0 9 3 16 4.44089209850063e-16
+0 0 0 0 0 9 4 16 4.44089209850063e-16
+0 0 0 0 0 9 5 16 4.44089209850063e-16
+0 0 0 0 0 9 6 16 4.44089209850063e-16
+0 0 0 0 0 9 7 16 4.44089209850063e-16
+0 0 0 0 0 9 8 16 4.44089209850063e-16
+0 0 0 0 0 9 9 16 4.44089209850063e-16
+0 0 0 0 0 9 10 16 4.44089209850063e-16
+0 0 0 0 0 9 11 16 4.44089209850063e-16
+0 0 0 0 0 9 12 16 4.44089209850063e-16
+0 0 0 0 0 9 13 16 4.44089209850063e-16
+0 0 0 0 0 9 14 16 4.44089209850063e-16
+0 0 0 0 0 9 15 16 4.44089209850063e-16
+0 0 0 0 0 9 16 16 4.44089209850063e-16
+0 0 0 0 0 9 17 16 4.44089209850063e-16
+0 0 0 0 0 9 18 16 4.44089209850063e-16
+0 0 0 0 0 9 19 16 4.44089209850063e-16
+0 0 0 0 0 9 20 16 4.44089209850063e-16
+0 0 0 0 0 9 21 16 4.44089209850063e-16
+0 0 0 0 0 9 22 16 4.44089209850063e-16
+0 0 0 0 0 9 23 16 4.44089209850063e-16
+0 0 0 0 0 9 24 16 4.44089209850063e-16
+0 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 4.44089209850063e-16
+1 0 0 0 0 9 1 16 4.44089209850063e-16
+1 0 0 0 0 9 2 16 4.44089209850063e-16
+1 0 0 0 0 9 3 16 4.44089209850063e-16
+1 0 0 0 0 9 4 16 4.44089209850063e-16
+1 0 0 0 0 9 5 16 4.44089209850063e-16
+1 0 0 0 0 9 6 16 4.44089209850063e-16
+1 0 0 0 0 9 7 16 4.44089209850063e-16
+1 0 0 0 0 9 8 16 4.44089209850063e-16
+1 0 0 0 0 9 9 16 4.44089209850063e-16
+1 0 0 0 0 9 10 16 4.44089209850063e-16
+1 0 0 0 0 9 11 16 4.44089209850063e-16
+1 0 0 0 0 9 12 16 4.44089209850063e-16
+1 0 0 0 0 9 13 16 4.44089209850063e-16
+1 0 0 0 0 9 14 16 4.44089209850063e-16
+1 0 0 0 0 9 15 16 4.44089209850063e-16
+1 0 0 0 0 9 16 16 4.44089209850063e-16
+1 0 0 0 0 9 17 16 4.44089209850063e-16
+1 0 0 0 0 9 18 16 4.44089209850063e-16
+1 0 0 0 0 9 19 16 4.44089209850063e-16
+1 0 0 0 0 9 20 16 4.44089209850063e-16
+1 0 0 0 0 9 21 16 4.44089209850063e-16
+1 0 0 0 0 9 22 16 4.44089209850063e-16
+1 0 0 0 0 9 23 16 4.44089209850063e-16
+1 0 0 0 0 9 24 16 4.44089209850063e-16
+1 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 4.44089209850063e-16
+2 0 0 0 0 9 1 16 4.44089209850063e-16
+2 0 0 0 0 9 2 16 4.44089209850063e-16
+2 0 0 0 0 9 3 16 4.44089209850063e-16
+2 0 0 0 0 9 4 16 4.44089209850063e-16
+2 0 0 0 0 9 5 16 4.44089209850063e-16
+2 0 0 0 0 9 6 16 4.44089209850063e-16
+2 0 0 0 0 9 7 16 4.44089209850063e-16
+2 0 0 0 0 9 8 16 4.44089209850063e-16
+2 0 0 0 0 9 9 16 4.44089209850063e-16
+2 0 0 0 0 9 10 16 4.44089209850063e-16
+2 0 0 0 0 9 11 16 4.44089209850063e-16
+2 0 0 0 0 9 12 16 4.44089209850063e-16
+2 0 0 0 0 9 13 16 4.44089209850063e-16
+2 0 0 0 0 9 14 16 4.44089209850063e-16
+2 0 0 0 0 9 15 16 4.44089209850063e-16
+2 0 0 0 0 9 16 16 4.44089209850063e-16
+2 0 0 0 0 9 17 16 4.44089209850063e-16
+2 0 0 0 0 9 18 16 4.44089209850063e-16
+2 0 0 0 0 9 19 16 4.44089209850063e-16
+2 0 0 0 0 9 20 16 4.44089209850063e-16
+2 0 0 0 0 9 21 16 4.44089209850063e-16
+2 0 0 0 0 9 22 16 4.44089209850063e-16
+2 0 0 0 0 9 23 16 4.44089209850063e-16
+2 0 0 0 0 9 24 16 4.44089209850063e-16
+2 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 4.44089209850063e-16
+3 0 0 0 0 9 1 16 4.44089209850063e-16
+3 0 0 0 0 9 2 16 4.44089209850063e-16
+3 0 0 0 0 9 3 16 4.44089209850063e-16
+3 0 0 0 0 9 4 16 4.44089209850063e-16
+3 0 0 0 0 9 5 16 4.44089209850063e-16
+3 0 0 0 0 9 6 16 4.44089209850063e-16
+3 0 0 0 0 9 7 16 4.44089209850063e-16
+3 0 0 0 0 9 8 16 4.44089209850063e-16
+3 0 0 0 0 9 9 16 4.44089209850063e-16
+3 0 0 0 0 9 10 16 4.44089209850063e-16
+3 0 0 0 0 9 11 16 4.44089209850063e-16
+3 0 0 0 0 9 12 16 4.44089209850063e-16
+3 0 0 0 0 9 13 16 4.44089209850063e-16
+3 0 0 0 0 9 14 16 4.44089209850063e-16
+3 0 0 0 0 9 15 16 4.44089209850063e-16
+3 0 0 0 0 9 16 16 4.44089209850063e-16
+3 0 0 0 0 9 17 16 4.44089209850063e-16
+3 0 0 0 0 9 18 16 4.44089209850063e-16
+3 0 0 0 0 9 19 16 4.44089209850063e-16
+3 0 0 0 0 9 20 16 4.44089209850063e-16
+3 0 0 0 0 9 21 16 4.44089209850063e-16
+3 0 0 0 0 9 22 16 4.44089209850063e-16
+3 0 0 0 0 9 23 16 4.44089209850063e-16
+3 0 0 0 0 9 24 16 4.44089209850063e-16
+3 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 4.44089209850063e-16
+4 0 0 0 0 9 1 16 4.44089209850063e-16
+4 0 0 0 0 9 2 16 4.44089209850063e-16
+4 0 0 0 0 9 3 16 4.44089209850063e-16
+4 0 0 0 0 9 4 16 4.44089209850063e-16
+4 0 0 0 0 9 5 16 4.44089209850063e-16
+4 0 0 0 0 9 6 16 4.44089209850063e-16
+4 0 0 0 0 9 7 16 4.44089209850063e-16
+4 0 0 0 0 9 8 16 4.44089209850063e-16
+4 0 0 0 0 9 9 16 4.44089209850063e-16
+4 0 0 0 0 9 10 16 4.44089209850063e-16
+4 0 0 0 0 9 11 16 4.44089209850063e-16
+4 0 0 0 0 9 12 16 4.44089209850063e-16
+4 0 0 0 0 9 13 16 4.44089209850063e-16
+4 0 0 0 0 9 14 16 4.44089209850063e-16
+4 0 0 0 0 9 15 16 4.44089209850063e-16
+4 0 0 0 0 9 16 16 4.44089209850063e-16
+4 0 0 0 0 9 17 16 4.44089209850063e-16
+4 0 0 0 0 9 18 16 4.44089209850063e-16
+4 0 0 0 0 9 19 16 4.44089209850063e-16
+4 0 0 0 0 9 20 16 4.44089209850063e-16
+4 0 0 0 0 9 21 16 4.44089209850063e-16
+4 0 0 0 0 9 22 16 4.44089209850063e-16
+4 0 0 0 0 9 23 16 4.44089209850063e-16
+4 0 0 0 0 9 24 16 4.44089209850063e-16
+4 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 4.44089209850063e-16
+5 0 0 0 0 9 1 16 4.44089209850063e-16
+5 0 0 0 0 9 2 16 4.44089209850063e-16
+5 0 0 0 0 9 3 16 4.44089209850063e-16
+5 0 0 0 0 9 4 16 4.44089209850063e-16
+5 0 0 0 0 9 5 16 4.44089209850063e-16
+5 0 0 0 0 9 6 16 4.44089209850063e-16
+5 0 0 0 0 9 7 16 4.44089209850063e-16
+5 0 0 0 0 9 8 16 4.44089209850063e-16
+5 0 0 0 0 9 9 16 4.44089209850063e-16
+5 0 0 0 0 9 10 16 4.44089209850063e-16
+5 0 0 0 0 9 11 16 4.44089209850063e-16
+5 0 0 0 0 9 12 16 4.44089209850063e-16
+5 0 0 0 0 9 13 16 4.44089209850063e-16
+5 0 0 0 0 9 14 16 4.44089209850063e-16
+5 0 0 0 0 9 15 16 4.44089209850063e-16
+5 0 0 0 0 9 16 16 4.44089209850063e-16
+5 0 0 0 0 9 17 16 4.44089209850063e-16
+5 0 0 0 0 9 18 16 4.44089209850063e-16
+5 0 0 0 0 9 19 16 4.44089209850063e-16
+5 0 0 0 0 9 20 16 4.44089209850063e-16
+5 0 0 0 0 9 21 16 4.44089209850063e-16
+5 0 0 0 0 9 22 16 4.44089209850063e-16
+5 0 0 0 0 9 23 16 4.44089209850063e-16
+5 0 0 0 0 9 24 16 4.44089209850063e-16
+5 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 4.44089209850063e-16
+6 0 0 0 0 9 1 16 4.44089209850063e-16
+6 0 0 0 0 9 2 16 4.44089209850063e-16
+6 0 0 0 0 9 3 16 4.44089209850063e-16
+6 0 0 0 0 9 4 16 4.44089209850063e-16
+6 0 0 0 0 9 5 16 4.44089209850063e-16
+6 0 0 0 0 9 6 16 4.44089209850063e-16
+6 0 0 0 0 9 7 16 4.44089209850063e-16
+6 0 0 0 0 9 8 16 4.44089209850063e-16
+6 0 0 0 0 9 9 16 4.44089209850063e-16
+6 0 0 0 0 9 10 16 4.44089209850063e-16
+6 0 0 0 0 9 11 16 4.44089209850063e-16
+6 0 0 0 0 9 12 16 4.44089209850063e-16
+6 0 0 0 0 9 13 16 4.44089209850063e-16
+6 0 0 0 0 9 14 16 4.44089209850063e-16
+6 0 0 0 0 9 15 16 4.44089209850063e-16
+6 0 0 0 0 9 16 16 4.44089209850063e-16
+6 0 0 0 0 9 17 16 4.44089209850063e-16
+6 0 0 0 0 9 18 16 4.44089209850063e-16
+6 0 0 0 0 9 19 16 4.44089209850063e-16
+6 0 0 0 0 9 20 16 4.44089209850063e-16
+6 0 0 0 0 9 21 16 4.44089209850063e-16
+6 0 0 0 0 9 22 16 4.44089209850063e-16
+6 0 0 0 0 9 23 16 4.44089209850063e-16
+6 0 0 0 0 9 24 16 4.44089209850063e-16
+6 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_x.zl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_x.zl
new file mode 100644
index 000000000..a9d72ade1
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_x.zl
@@ -0,0 +1,275 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 4.44089209850063e-16
+0 0 0 0 0 9 12 1 4.44089209850063e-16
+0 0 0 0 0 9 12 2 4.44089209850063e-16
+0 0 0 0 0 9 12 3 4.44089209850063e-16
+0 0 0 0 0 9 12 4 4.44089209850063e-16
+0 0 0 0 0 9 12 5 4.44089209850063e-16
+0 0 0 0 0 9 12 6 4.44089209850063e-16
+0 0 0 0 0 9 12 7 4.44089209850063e-16
+0 0 0 0 0 9 12 8 4.44089209850063e-16
+0 0 0 0 0 9 12 9 4.44089209850063e-16
+0 0 0 0 0 9 12 10 4.44089209850063e-16
+0 0 0 0 0 9 12 11 4.44089209850063e-16
+0 0 0 0 0 9 12 12 4.44089209850063e-16
+0 0 0 0 0 9 12 13 4.44089209850063e-16
+0 0 0 0 0 9 12 14 4.44089209850063e-16
+0 0 0 0 0 9 12 15 4.44089209850063e-16
+0 0 0 0 0 9 12 16 4.44089209850063e-16
+0 0 0 0 0 9 12 17 4.44089209850063e-16
+0 0 0 0 0 9 12 18 4.44089209850063e-16
+0 0 0 0 0 9 12 19 4.44089209850063e-16
+0 0 0 0 0 9 12 20 4.44089209850063e-16
+0 0 0 0 0 9 12 21 4.44089209850063e-16
+0 0 0 0 0 9 12 22 4.44089209850063e-16
+0 0 0 0 0 9 12 23 4.44089209850063e-16
+0 0 0 0 0 9 12 24 4.44089209850063e-16
+0 0 0 0 0 9 12 25 4.44089209850063e-16
+0 0 0 0 0 9 12 26 4.44089209850063e-16
+0 0 0 0 0 9 12 27 4.44089209850063e-16
+0 0 0 0 0 9 12 28 4.44089209850063e-16
+0 0 0 0 0 9 12 29 4.44089209850063e-16
+0 0 0 0 0 9 12 30 4.44089209850063e-16
+0 0 0 0 0 9 12 31 4.44089209850063e-16
+0 0 0 0 0 9 12 32 4.44089209850063e-16
+0 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 4.44089209850063e-16
+1 0 0 0 0 9 12 1 4.44089209850063e-16
+1 0 0 0 0 9 12 2 4.44089209850063e-16
+1 0 0 0 0 9 12 3 4.44089209850063e-16
+1 0 0 0 0 9 12 4 4.44089209850063e-16
+1 0 0 0 0 9 12 5 4.44089209850063e-16
+1 0 0 0 0 9 12 6 4.44089209850063e-16
+1 0 0 0 0 9 12 7 4.44089209850063e-16
+1 0 0 0 0 9 12 8 4.44089209850063e-16
+1 0 0 0 0 9 12 9 4.44089209850063e-16
+1 0 0 0 0 9 12 10 4.44089209850063e-16
+1 0 0 0 0 9 12 11 4.44089209850063e-16
+1 0 0 0 0 9 12 12 4.44089209850063e-16
+1 0 0 0 0 9 12 13 4.44089209850063e-16
+1 0 0 0 0 9 12 14 4.44089209850063e-16
+1 0 0 0 0 9 12 15 4.44089209850063e-16
+1 0 0 0 0 9 12 16 4.44089209850063e-16
+1 0 0 0 0 9 12 17 4.44089209850063e-16
+1 0 0 0 0 9 12 18 4.44089209850063e-16
+1 0 0 0 0 9 12 19 4.44089209850063e-16
+1 0 0 0 0 9 12 20 4.44089209850063e-16
+1 0 0 0 0 9 12 21 4.44089209850063e-16
+1 0 0 0 0 9 12 22 4.44089209850063e-16
+1 0 0 0 0 9 12 23 4.44089209850063e-16
+1 0 0 0 0 9 12 24 4.44089209850063e-16
+1 0 0 0 0 9 12 25 4.44089209850063e-16
+1 0 0 0 0 9 12 26 4.44089209850063e-16
+1 0 0 0 0 9 12 27 4.44089209850063e-16
+1 0 0 0 0 9 12 28 4.44089209850063e-16
+1 0 0 0 0 9 12 29 4.44089209850063e-16
+1 0 0 0 0 9 12 30 4.44089209850063e-16
+1 0 0 0 0 9 12 31 4.44089209850063e-16
+1 0 0 0 0 9 12 32 4.44089209850063e-16
+1 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 4.44089209850063e-16
+2 0 0 0 0 9 12 1 4.44089209850063e-16
+2 0 0 0 0 9 12 2 4.44089209850063e-16
+2 0 0 0 0 9 12 3 4.44089209850063e-16
+2 0 0 0 0 9 12 4 4.44089209850063e-16
+2 0 0 0 0 9 12 5 4.44089209850063e-16
+2 0 0 0 0 9 12 6 4.44089209850063e-16
+2 0 0 0 0 9 12 7 4.44089209850063e-16
+2 0 0 0 0 9 12 8 4.44089209850063e-16
+2 0 0 0 0 9 12 9 4.44089209850063e-16
+2 0 0 0 0 9 12 10 4.44089209850063e-16
+2 0 0 0 0 9 12 11 4.44089209850063e-16
+2 0 0 0 0 9 12 12 4.44089209850063e-16
+2 0 0 0 0 9 12 13 4.44089209850063e-16
+2 0 0 0 0 9 12 14 4.44089209850063e-16
+2 0 0 0 0 9 12 15 4.44089209850063e-16
+2 0 0 0 0 9 12 16 4.44089209850063e-16
+2 0 0 0 0 9 12 17 4.44089209850063e-16
+2 0 0 0 0 9 12 18 4.44089209850063e-16
+2 0 0 0 0 9 12 19 4.44089209850063e-16
+2 0 0 0 0 9 12 20 4.44089209850063e-16
+2 0 0 0 0 9 12 21 4.44089209850063e-16
+2 0 0 0 0 9 12 22 4.44089209850063e-16
+2 0 0 0 0 9 12 23 4.44089209850063e-16
+2 0 0 0 0 9 12 24 4.44089209850063e-16
+2 0 0 0 0 9 12 25 4.44089209850063e-16
+2 0 0 0 0 9 12 26 4.44089209850063e-16
+2 0 0 0 0 9 12 27 4.44089209850063e-16
+2 0 0 0 0 9 12 28 4.44089209850063e-16
+2 0 0 0 0 9 12 29 4.44089209850063e-16
+2 0 0 0 0 9 12 30 4.44089209850063e-16
+2 0 0 0 0 9 12 31 4.44089209850063e-16
+2 0 0 0 0 9 12 32 4.44089209850063e-16
+2 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 4.44089209850063e-16
+3 0 0 0 0 9 12 1 4.44089209850063e-16
+3 0 0 0 0 9 12 2 4.44089209850063e-16
+3 0 0 0 0 9 12 3 4.44089209850063e-16
+3 0 0 0 0 9 12 4 4.44089209850063e-16
+3 0 0 0 0 9 12 5 4.44089209850063e-16
+3 0 0 0 0 9 12 6 4.44089209850063e-16
+3 0 0 0 0 9 12 7 4.44089209850063e-16
+3 0 0 0 0 9 12 8 4.44089209850063e-16
+3 0 0 0 0 9 12 9 4.44089209850063e-16
+3 0 0 0 0 9 12 10 4.44089209850063e-16
+3 0 0 0 0 9 12 11 4.44089209850063e-16
+3 0 0 0 0 9 12 12 4.44089209850063e-16
+3 0 0 0 0 9 12 13 4.44089209850063e-16
+3 0 0 0 0 9 12 14 4.44089209850063e-16
+3 0 0 0 0 9 12 15 4.44089209850063e-16
+3 0 0 0 0 9 12 16 4.44089209850063e-16
+3 0 0 0 0 9 12 17 4.44089209850063e-16
+3 0 0 0 0 9 12 18 4.44089209850063e-16
+3 0 0 0 0 9 12 19 4.44089209850063e-16
+3 0 0 0 0 9 12 20 4.44089209850063e-16
+3 0 0 0 0 9 12 21 4.44089209850063e-16
+3 0 0 0 0 9 12 22 4.44089209850063e-16
+3 0 0 0 0 9 12 23 4.44089209850063e-16
+3 0 0 0 0 9 12 24 4.44089209850063e-16
+3 0 0 0 0 9 12 25 4.44089209850063e-16
+3 0 0 0 0 9 12 26 4.44089209850063e-16
+3 0 0 0 0 9 12 27 4.44089209850063e-16
+3 0 0 0 0 9 12 28 4.44089209850063e-16
+3 0 0 0 0 9 12 29 4.44089209850063e-16
+3 0 0 0 0 9 12 30 4.44089209850063e-16
+3 0 0 0 0 9 12 31 4.44089209850063e-16
+3 0 0 0 0 9 12 32 4.44089209850063e-16
+3 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 4.44089209850063e-16
+4 0 0 0 0 9 12 1 4.44089209850063e-16
+4 0 0 0 0 9 12 2 4.44089209850063e-16
+4 0 0 0 0 9 12 3 4.44089209850063e-16
+4 0 0 0 0 9 12 4 4.44089209850063e-16
+4 0 0 0 0 9 12 5 4.44089209850063e-16
+4 0 0 0 0 9 12 6 4.44089209850063e-16
+4 0 0 0 0 9 12 7 4.44089209850063e-16
+4 0 0 0 0 9 12 8 4.44089209850063e-16
+4 0 0 0 0 9 12 9 4.44089209850063e-16
+4 0 0 0 0 9 12 10 4.44089209850063e-16
+4 0 0 0 0 9 12 11 4.44089209850063e-16
+4 0 0 0 0 9 12 12 4.44089209850063e-16
+4 0 0 0 0 9 12 13 4.44089209850063e-16
+4 0 0 0 0 9 12 14 4.44089209850063e-16
+4 0 0 0 0 9 12 15 4.44089209850063e-16
+4 0 0 0 0 9 12 16 4.44089209850063e-16
+4 0 0 0 0 9 12 17 4.44089209850063e-16
+4 0 0 0 0 9 12 18 4.44089209850063e-16
+4 0 0 0 0 9 12 19 4.44089209850063e-16
+4 0 0 0 0 9 12 20 4.44089209850063e-16
+4 0 0 0 0 9 12 21 4.44089209850063e-16
+4 0 0 0 0 9 12 22 4.44089209850063e-16
+4 0 0 0 0 9 12 23 4.44089209850063e-16
+4 0 0 0 0 9 12 24 4.44089209850063e-16
+4 0 0 0 0 9 12 25 4.44089209850063e-16
+4 0 0 0 0 9 12 26 4.44089209850063e-16
+4 0 0 0 0 9 12 27 4.44089209850063e-16
+4 0 0 0 0 9 12 28 4.44089209850063e-16
+4 0 0 0 0 9 12 29 4.44089209850063e-16
+4 0 0 0 0 9 12 30 4.44089209850063e-16
+4 0 0 0 0 9 12 31 4.44089209850063e-16
+4 0 0 0 0 9 12 32 4.44089209850063e-16
+4 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 4.44089209850063e-16
+5 0 0 0 0 9 12 1 4.44089209850063e-16
+5 0 0 0 0 9 12 2 4.44089209850063e-16
+5 0 0 0 0 9 12 3 4.44089209850063e-16
+5 0 0 0 0 9 12 4 4.44089209850063e-16
+5 0 0 0 0 9 12 5 4.44089209850063e-16
+5 0 0 0 0 9 12 6 4.44089209850063e-16
+5 0 0 0 0 9 12 7 4.44089209850063e-16
+5 0 0 0 0 9 12 8 4.44089209850063e-16
+5 0 0 0 0 9 12 9 4.44089209850063e-16
+5 0 0 0 0 9 12 10 4.44089209850063e-16
+5 0 0 0 0 9 12 11 4.44089209850063e-16
+5 0 0 0 0 9 12 12 4.44089209850063e-16
+5 0 0 0 0 9 12 13 4.44089209850063e-16
+5 0 0 0 0 9 12 14 4.44089209850063e-16
+5 0 0 0 0 9 12 15 4.44089209850063e-16
+5 0 0 0 0 9 12 16 4.44089209850063e-16
+5 0 0 0 0 9 12 17 4.44089209850063e-16
+5 0 0 0 0 9 12 18 4.44089209850063e-16
+5 0 0 0 0 9 12 19 4.44089209850063e-16
+5 0 0 0 0 9 12 20 4.44089209850063e-16
+5 0 0 0 0 9 12 21 4.44089209850063e-16
+5 0 0 0 0 9 12 22 4.44089209850063e-16
+5 0 0 0 0 9 12 23 4.44089209850063e-16
+5 0 0 0 0 9 12 24 4.44089209850063e-16
+5 0 0 0 0 9 12 25 4.44089209850063e-16
+5 0 0 0 0 9 12 26 4.44089209850063e-16
+5 0 0 0 0 9 12 27 4.44089209850063e-16
+5 0 0 0 0 9 12 28 4.44089209850063e-16
+5 0 0 0 0 9 12 29 4.44089209850063e-16
+5 0 0 0 0 9 12 30 4.44089209850063e-16
+5 0 0 0 0 9 12 31 4.44089209850063e-16
+5 0 0 0 0 9 12 32 4.44089209850063e-16
+5 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 4.44089209850063e-16
+6 0 0 0 0 9 12 1 4.44089209850063e-16
+6 0 0 0 0 9 12 2 4.44089209850063e-16
+6 0 0 0 0 9 12 3 4.44089209850063e-16
+6 0 0 0 0 9 12 4 4.44089209850063e-16
+6 0 0 0 0 9 12 5 4.44089209850063e-16
+6 0 0 0 0 9 12 6 4.44089209850063e-16
+6 0 0 0 0 9 12 7 4.44089209850063e-16
+6 0 0 0 0 9 12 8 4.44089209850063e-16
+6 0 0 0 0 9 12 9 4.44089209850063e-16
+6 0 0 0 0 9 12 10 4.44089209850063e-16
+6 0 0 0 0 9 12 11 4.44089209850063e-16
+6 0 0 0 0 9 12 12 4.44089209850063e-16
+6 0 0 0 0 9 12 13 4.44089209850063e-16
+6 0 0 0 0 9 12 14 4.44089209850063e-16
+6 0 0 0 0 9 12 15 4.44089209850063e-16
+6 0 0 0 0 9 12 16 4.44089209850063e-16
+6 0 0 0 0 9 12 17 4.44089209850063e-16
+6 0 0 0 0 9 12 18 4.44089209850063e-16
+6 0 0 0 0 9 12 19 4.44089209850063e-16
+6 0 0 0 0 9 12 20 4.44089209850063e-16
+6 0 0 0 0 9 12 21 4.44089209850063e-16
+6 0 0 0 0 9 12 22 4.44089209850063e-16
+6 0 0 0 0 9 12 23 4.44089209850063e-16
+6 0 0 0 0 9 12 24 4.44089209850063e-16
+6 0 0 0 0 9 12 25 4.44089209850063e-16
+6 0 0 0 0 9 12 26 4.44089209850063e-16
+6 0 0 0 0 9 12 27 4.44089209850063e-16
+6 0 0 0 0 9 12 28 4.44089209850063e-16
+6 0 0 0 0 9 12 29 4.44089209850063e-16
+6 0 0 0 0 9 12 30 4.44089209850063e-16
+6 0 0 0 0 9 12 31 4.44089209850063e-16
+6 0 0 0 0 9 12 32 4.44089209850063e-16
+6 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_y.xl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_y.xl
new file mode 100644
index 000000000..d4d13f446
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_y.xl
@@ -0,0 +1,170 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -4.44089209850063e-16
+0 0 0 0 0 1 12 16 -4.44089209850063e-16
+0 0 0 0 0 2 12 16 -4.44089209850063e-16
+0 0 0 0 0 3 12 16 -4.44089209850063e-16
+0 0 0 0 0 4 12 16 -4.44089209850063e-16
+0 0 0 0 0 5 12 16 -4.44089209850063e-16
+0 0 0 0 0 6 12 16 -4.44089209850063e-16
+0 0 0 0 0 7 12 16 -4.44089209850063e-16
+0 0 0 0 0 8 12 16 -4.44089209850063e-16
+0 0 0 0 0 9 12 16 -4.44089209850063e-16
+0 0 0 0 0 10 12 16 -4.44089209850063e-16
+0 0 0 0 0 11 12 16 -4.44089209850063e-16
+0 0 0 0 0 12 12 16 -4.44089209850063e-16
+0 0 0 0 0 13 12 16 -4.44089209850063e-16
+0 0 0 0 0 14 12 16 -4.44089209850063e-16
+0 0 0 0 0 15 12 16 -4.44089209850063e-16
+0 0 0 0 0 16 12 16 -4.44089209850063e-16
+0 0 0 0 0 17 12 16 -4.44089209850063e-16
+0 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -4.44089209850063e-16
+1 0 0 0 0 1 12 16 -4.44089209850063e-16
+1 0 0 0 0 2 12 16 -4.44089209850063e-16
+1 0 0 0 0 3 12 16 -4.44089209850063e-16
+1 0 0 0 0 4 12 16 -4.44089209850063e-16
+1 0 0 0 0 5 12 16 -4.44089209850063e-16
+1 0 0 0 0 6 12 16 -4.44089209850063e-16
+1 0 0 0 0 7 12 16 -4.44089209850063e-16
+1 0 0 0 0 8 12 16 -4.44089209850063e-16
+1 0 0 0 0 9 12 16 -4.44089209850063e-16
+1 0 0 0 0 10 12 16 -4.44089209850063e-16
+1 0 0 0 0 11 12 16 -4.44089209850063e-16
+1 0 0 0 0 12 12 16 -4.44089209850063e-16
+1 0 0 0 0 13 12 16 -4.44089209850063e-16
+1 0 0 0 0 14 12 16 -4.44089209850063e-16
+1 0 0 0 0 15 12 16 -4.44089209850063e-16
+1 0 0 0 0 16 12 16 -4.44089209850063e-16
+1 0 0 0 0 17 12 16 -4.44089209850063e-16
+1 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -4.44089209850063e-16
+2 0 0 0 0 1 12 16 -4.44089209850063e-16
+2 0 0 0 0 2 12 16 -4.44089209850063e-16
+2 0 0 0 0 3 12 16 -4.44089209850063e-16
+2 0 0 0 0 4 12 16 -4.44089209850063e-16
+2 0 0 0 0 5 12 16 -4.44089209850063e-16
+2 0 0 0 0 6 12 16 -4.44089209850063e-16
+2 0 0 0 0 7 12 16 -4.44089209850063e-16
+2 0 0 0 0 8 12 16 -4.44089209850063e-16
+2 0 0 0 0 9 12 16 -4.44089209850063e-16
+2 0 0 0 0 10 12 16 -4.44089209850063e-16
+2 0 0 0 0 11 12 16 -4.44089209850063e-16
+2 0 0 0 0 12 12 16 -4.44089209850063e-16
+2 0 0 0 0 13 12 16 -4.44089209850063e-16
+2 0 0 0 0 14 12 16 -4.44089209850063e-16
+2 0 0 0 0 15 12 16 -4.44089209850063e-16
+2 0 0 0 0 16 12 16 -4.44089209850063e-16
+2 0 0 0 0 17 12 16 -4.44089209850063e-16
+2 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -4.44089209850063e-16
+3 0 0 0 0 1 12 16 -4.44089209850063e-16
+3 0 0 0 0 2 12 16 -4.44089209850063e-16
+3 0 0 0 0 3 12 16 -4.44089209850063e-16
+3 0 0 0 0 4 12 16 -4.44089209850063e-16
+3 0 0 0 0 5 12 16 -4.44089209850063e-16
+3 0 0 0 0 6 12 16 -4.44089209850063e-16
+3 0 0 0 0 7 12 16 -4.44089209850063e-16
+3 0 0 0 0 8 12 16 -4.44089209850063e-16
+3 0 0 0 0 9 12 16 -4.44089209850063e-16
+3 0 0 0 0 10 12 16 -4.44089209850063e-16
+3 0 0 0 0 11 12 16 -4.44089209850063e-16
+3 0 0 0 0 12 12 16 -4.44089209850063e-16
+3 0 0 0 0 13 12 16 -4.44089209850063e-16
+3 0 0 0 0 14 12 16 -4.44089209850063e-16
+3 0 0 0 0 15 12 16 -4.44089209850063e-16
+3 0 0 0 0 16 12 16 -4.44089209850063e-16
+3 0 0 0 0 17 12 16 -4.44089209850063e-16
+3 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -4.44089209850063e-16
+4 0 0 0 0 1 12 16 -4.44089209850063e-16
+4 0 0 0 0 2 12 16 -4.44089209850063e-16
+4 0 0 0 0 3 12 16 -4.44089209850063e-16
+4 0 0 0 0 4 12 16 -4.44089209850063e-16
+4 0 0 0 0 5 12 16 -4.44089209850063e-16
+4 0 0 0 0 6 12 16 -4.44089209850063e-16
+4 0 0 0 0 7 12 16 -4.44089209850063e-16
+4 0 0 0 0 8 12 16 -4.44089209850063e-16
+4 0 0 0 0 9 12 16 -4.44089209850063e-16
+4 0 0 0 0 10 12 16 -4.44089209850063e-16
+4 0 0 0 0 11 12 16 -4.44089209850063e-16
+4 0 0 0 0 12 12 16 -4.44089209850063e-16
+4 0 0 0 0 13 12 16 -4.44089209850063e-16
+4 0 0 0 0 14 12 16 -4.44089209850063e-16
+4 0 0 0 0 15 12 16 -4.44089209850063e-16
+4 0 0 0 0 16 12 16 -4.44089209850063e-16
+4 0 0 0 0 17 12 16 -4.44089209850063e-16
+4 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -4.44089209850063e-16
+5 0 0 0 0 1 12 16 -4.44089209850063e-16
+5 0 0 0 0 2 12 16 -4.44089209850063e-16
+5 0 0 0 0 3 12 16 -4.44089209850063e-16
+5 0 0 0 0 4 12 16 -4.44089209850063e-16
+5 0 0 0 0 5 12 16 -4.44089209850063e-16
+5 0 0 0 0 6 12 16 -4.44089209850063e-16
+5 0 0 0 0 7 12 16 -4.44089209850063e-16
+5 0 0 0 0 8 12 16 -4.44089209850063e-16
+5 0 0 0 0 9 12 16 -4.44089209850063e-16
+5 0 0 0 0 10 12 16 -4.44089209850063e-16
+5 0 0 0 0 11 12 16 -4.44089209850063e-16
+5 0 0 0 0 12 12 16 -4.44089209850063e-16
+5 0 0 0 0 13 12 16 -4.44089209850063e-16
+5 0 0 0 0 14 12 16 -4.44089209850063e-16
+5 0 0 0 0 15 12 16 -4.44089209850063e-16
+5 0 0 0 0 16 12 16 -4.44089209850063e-16
+5 0 0 0 0 17 12 16 -4.44089209850063e-16
+5 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -4.44089209850063e-16
+6 0 0 0 0 1 12 16 -4.44089209850063e-16
+6 0 0 0 0 2 12 16 -4.44089209850063e-16
+6 0 0 0 0 3 12 16 -4.44089209850063e-16
+6 0 0 0 0 4 12 16 -4.44089209850063e-16
+6 0 0 0 0 5 12 16 -4.44089209850063e-16
+6 0 0 0 0 6 12 16 -4.44089209850063e-16
+6 0 0 0 0 7 12 16 -4.44089209850063e-16
+6 0 0 0 0 8 12 16 -4.44089209850063e-16
+6 0 0 0 0 9 12 16 -4.44089209850063e-16
+6 0 0 0 0 10 12 16 -4.44089209850063e-16
+6 0 0 0 0 11 12 16 -4.44089209850063e-16
+6 0 0 0 0 12 12 16 -4.44089209850063e-16
+6 0 0 0 0 13 12 16 -4.44089209850063e-16
+6 0 0 0 0 14 12 16 -4.44089209850063e-16
+6 0 0 0 0 15 12 16 -4.44089209850063e-16
+6 0 0 0 0 16 12 16 -4.44089209850063e-16
+6 0 0 0 0 17 12 16 -4.44089209850063e-16
+6 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_y.yl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_y.yl
new file mode 100644
index 000000000..f9b213254
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_y.yl
@@ -0,0 +1,219 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -7.2
+0 0 0 0 0 9 1 16 -6.6
+0 0 0 0 0 9 2 16 -6
+0 0 0 0 0 9 3 16 -5.4
+0 0 0 0 0 9 4 16 -4.8
+0 0 0 0 0 9 5 16 -4.2
+0 0 0 0 0 9 6 16 -3.6
+0 0 0 0 0 9 7 16 -3
+0 0 0 0 0 9 8 16 -2.4
+0 0 0 0 0 9 9 16 -1.8
+0 0 0 0 0 9 10 16 -1.2
+0 0 0 0 0 9 11 16 -0.6
+0 0 0 0 0 9 12 16 -4.44089209850063e-16
+0 0 0 0 0 9 13 16 0.6
+0 0 0 0 0 9 14 16 1.2
+0 0 0 0 0 9 15 16 1.8
+0 0 0 0 0 9 16 16 2.4
+0 0 0 0 0 9 17 16 3
+0 0 0 0 0 9 18 16 3.6
+0 0 0 0 0 9 19 16 4.2
+0 0 0 0 0 9 20 16 4.8
+0 0 0 0 0 9 21 16 5.4
+0 0 0 0 0 9 22 16 6
+0 0 0 0 0 9 23 16 6.6
+0 0 0 0 0 9 24 16 7.2
+0 0 0 0 0 9 25 16 7.8
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 -7.2
+1 0 0 0 0 9 1 16 -6.6
+1 0 0 0 0 9 2 16 -6
+1 0 0 0 0 9 3 16 -5.4
+1 0 0 0 0 9 4 16 -4.8
+1 0 0 0 0 9 5 16 -4.2
+1 0 0 0 0 9 6 16 -3.6
+1 0 0 0 0 9 7 16 -3
+1 0 0 0 0 9 8 16 -2.4
+1 0 0 0 0 9 9 16 -1.8
+1 0 0 0 0 9 10 16 -1.2
+1 0 0 0 0 9 11 16 -0.6
+1 0 0 0 0 9 12 16 -4.44089209850063e-16
+1 0 0 0 0 9 13 16 0.6
+1 0 0 0 0 9 14 16 1.2
+1 0 0 0 0 9 15 16 1.8
+1 0 0 0 0 9 16 16 2.4
+1 0 0 0 0 9 17 16 3
+1 0 0 0 0 9 18 16 3.6
+1 0 0 0 0 9 19 16 4.2
+1 0 0 0 0 9 20 16 4.8
+1 0 0 0 0 9 21 16 5.4
+1 0 0 0 0 9 22 16 6
+1 0 0 0 0 9 23 16 6.6
+1 0 0 0 0 9 24 16 7.2
+1 0 0 0 0 9 25 16 7.8
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 -7.2
+2 0 0 0 0 9 1 16 -6.6
+2 0 0 0 0 9 2 16 -6
+2 0 0 0 0 9 3 16 -5.4
+2 0 0 0 0 9 4 16 -4.8
+2 0 0 0 0 9 5 16 -4.2
+2 0 0 0 0 9 6 16 -3.6
+2 0 0 0 0 9 7 16 -3
+2 0 0 0 0 9 8 16 -2.4
+2 0 0 0 0 9 9 16 -1.8
+2 0 0 0 0 9 10 16 -1.2
+2 0 0 0 0 9 11 16 -0.6
+2 0 0 0 0 9 12 16 -4.44089209850063e-16
+2 0 0 0 0 9 13 16 0.6
+2 0 0 0 0 9 14 16 1.2
+2 0 0 0 0 9 15 16 1.8
+2 0 0 0 0 9 16 16 2.4
+2 0 0 0 0 9 17 16 3
+2 0 0 0 0 9 18 16 3.6
+2 0 0 0 0 9 19 16 4.2
+2 0 0 0 0 9 20 16 4.8
+2 0 0 0 0 9 21 16 5.4
+2 0 0 0 0 9 22 16 6
+2 0 0 0 0 9 23 16 6.6
+2 0 0 0 0 9 24 16 7.2
+2 0 0 0 0 9 25 16 7.8
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 -7.2
+3 0 0 0 0 9 1 16 -6.6
+3 0 0 0 0 9 2 16 -6
+3 0 0 0 0 9 3 16 -5.4
+3 0 0 0 0 9 4 16 -4.8
+3 0 0 0 0 9 5 16 -4.2
+3 0 0 0 0 9 6 16 -3.6
+3 0 0 0 0 9 7 16 -3
+3 0 0 0 0 9 8 16 -2.4
+3 0 0 0 0 9 9 16 -1.8
+3 0 0 0 0 9 10 16 -1.2
+3 0 0 0 0 9 11 16 -0.6
+3 0 0 0 0 9 12 16 -4.44089209850063e-16
+3 0 0 0 0 9 13 16 0.6
+3 0 0 0 0 9 14 16 1.2
+3 0 0 0 0 9 15 16 1.8
+3 0 0 0 0 9 16 16 2.4
+3 0 0 0 0 9 17 16 3
+3 0 0 0 0 9 18 16 3.6
+3 0 0 0 0 9 19 16 4.2
+3 0 0 0 0 9 20 16 4.8
+3 0 0 0 0 9 21 16 5.4
+3 0 0 0 0 9 22 16 6
+3 0 0 0 0 9 23 16 6.6
+3 0 0 0 0 9 24 16 7.2
+3 0 0 0 0 9 25 16 7.8
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 -7.2
+4 0 0 0 0 9 1 16 -6.6
+4 0 0 0 0 9 2 16 -6
+4 0 0 0 0 9 3 16 -5.4
+4 0 0 0 0 9 4 16 -4.8
+4 0 0 0 0 9 5 16 -4.2
+4 0 0 0 0 9 6 16 -3.6
+4 0 0 0 0 9 7 16 -3
+4 0 0 0 0 9 8 16 -2.4
+4 0 0 0 0 9 9 16 -1.8
+4 0 0 0 0 9 10 16 -1.2
+4 0 0 0 0 9 11 16 -0.6
+4 0 0 0 0 9 12 16 -4.44089209850063e-16
+4 0 0 0 0 9 13 16 0.6
+4 0 0 0 0 9 14 16 1.2
+4 0 0 0 0 9 15 16 1.8
+4 0 0 0 0 9 16 16 2.4
+4 0 0 0 0 9 17 16 3
+4 0 0 0 0 9 18 16 3.6
+4 0 0 0 0 9 19 16 4.2
+4 0 0 0 0 9 20 16 4.8
+4 0 0 0 0 9 21 16 5.4
+4 0 0 0 0 9 22 16 6
+4 0 0 0 0 9 23 16 6.6
+4 0 0 0 0 9 24 16 7.2
+4 0 0 0 0 9 25 16 7.8
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 -7.2
+5 0 0 0 0 9 1 16 -6.6
+5 0 0 0 0 9 2 16 -6
+5 0 0 0 0 9 3 16 -5.4
+5 0 0 0 0 9 4 16 -4.8
+5 0 0 0 0 9 5 16 -4.2
+5 0 0 0 0 9 6 16 -3.6
+5 0 0 0 0 9 7 16 -3
+5 0 0 0 0 9 8 16 -2.4
+5 0 0 0 0 9 9 16 -1.8
+5 0 0 0 0 9 10 16 -1.2
+5 0 0 0 0 9 11 16 -0.6
+5 0 0 0 0 9 12 16 -4.44089209850063e-16
+5 0 0 0 0 9 13 16 0.6
+5 0 0 0 0 9 14 16 1.2
+5 0 0 0 0 9 15 16 1.8
+5 0 0 0 0 9 16 16 2.4
+5 0 0 0 0 9 17 16 3
+5 0 0 0 0 9 18 16 3.6
+5 0 0 0 0 9 19 16 4.2
+5 0 0 0 0 9 20 16 4.8
+5 0 0 0 0 9 21 16 5.4
+5 0 0 0 0 9 22 16 6
+5 0 0 0 0 9 23 16 6.6
+5 0 0 0 0 9 24 16 7.2
+5 0 0 0 0 9 25 16 7.8
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 -7.2
+6 0 0 0 0 9 1 16 -6.6
+6 0 0 0 0 9 2 16 -6
+6 0 0 0 0 9 3 16 -5.4
+6 0 0 0 0 9 4 16 -4.8
+6 0 0 0 0 9 5 16 -4.2
+6 0 0 0 0 9 6 16 -3.6
+6 0 0 0 0 9 7 16 -3
+6 0 0 0 0 9 8 16 -2.4
+6 0 0 0 0 9 9 16 -1.8
+6 0 0 0 0 9 10 16 -1.2
+6 0 0 0 0 9 11 16 -0.6
+6 0 0 0 0 9 12 16 -4.44089209850063e-16
+6 0 0 0 0 9 13 16 0.6
+6 0 0 0 0 9 14 16 1.2
+6 0 0 0 0 9 15 16 1.8
+6 0 0 0 0 9 16 16 2.4
+6 0 0 0 0 9 17 16 3
+6 0 0 0 0 9 18 16 3.6
+6 0 0 0 0 9 19 16 4.2
+6 0 0 0 0 9 20 16 4.8
+6 0 0 0 0 9 21 16 5.4
+6 0 0 0 0 9 22 16 6
+6 0 0 0 0 9 23 16 6.6
+6 0 0 0 0 9 24 16 7.2
+6 0 0 0 0 9 25 16 7.8
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_y.zl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_y.zl
new file mode 100644
index 000000000..5eb528a02
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_y.zl
@@ -0,0 +1,275 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 -4.44089209850063e-16
+0 0 0 0 0 9 12 1 -4.44089209850063e-16
+0 0 0 0 0 9 12 2 -4.44089209850063e-16
+0 0 0 0 0 9 12 3 -4.44089209850063e-16
+0 0 0 0 0 9 12 4 -4.44089209850063e-16
+0 0 0 0 0 9 12 5 -4.44089209850063e-16
+0 0 0 0 0 9 12 6 -4.44089209850063e-16
+0 0 0 0 0 9 12 7 -4.44089209850063e-16
+0 0 0 0 0 9 12 8 -4.44089209850063e-16
+0 0 0 0 0 9 12 9 -4.44089209850063e-16
+0 0 0 0 0 9 12 10 -4.44089209850063e-16
+0 0 0 0 0 9 12 11 -4.44089209850063e-16
+0 0 0 0 0 9 12 12 -4.44089209850063e-16
+0 0 0 0 0 9 12 13 -4.44089209850063e-16
+0 0 0 0 0 9 12 14 -4.44089209850063e-16
+0 0 0 0 0 9 12 15 -4.44089209850063e-16
+0 0 0 0 0 9 12 16 -4.44089209850063e-16
+0 0 0 0 0 9 12 17 -4.44089209850063e-16
+0 0 0 0 0 9 12 18 -4.44089209850063e-16
+0 0 0 0 0 9 12 19 -4.44089209850063e-16
+0 0 0 0 0 9 12 20 -4.44089209850063e-16
+0 0 0 0 0 9 12 21 -4.44089209850063e-16
+0 0 0 0 0 9 12 22 -4.44089209850063e-16
+0 0 0 0 0 9 12 23 -4.44089209850063e-16
+0 0 0 0 0 9 12 24 -4.44089209850063e-16
+0 0 0 0 0 9 12 25 -4.44089209850063e-16
+0 0 0 0 0 9 12 26 -4.44089209850063e-16
+0 0 0 0 0 9 12 27 -4.44089209850063e-16
+0 0 0 0 0 9 12 28 -4.44089209850063e-16
+0 0 0 0 0 9 12 29 -4.44089209850063e-16
+0 0 0 0 0 9 12 30 -4.44089209850063e-16
+0 0 0 0 0 9 12 31 -4.44089209850063e-16
+0 0 0 0 0 9 12 32 -4.44089209850063e-16
+0 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 -4.44089209850063e-16
+1 0 0 0 0 9 12 1 -4.44089209850063e-16
+1 0 0 0 0 9 12 2 -4.44089209850063e-16
+1 0 0 0 0 9 12 3 -4.44089209850063e-16
+1 0 0 0 0 9 12 4 -4.44089209850063e-16
+1 0 0 0 0 9 12 5 -4.44089209850063e-16
+1 0 0 0 0 9 12 6 -4.44089209850063e-16
+1 0 0 0 0 9 12 7 -4.44089209850063e-16
+1 0 0 0 0 9 12 8 -4.44089209850063e-16
+1 0 0 0 0 9 12 9 -4.44089209850063e-16
+1 0 0 0 0 9 12 10 -4.44089209850063e-16
+1 0 0 0 0 9 12 11 -4.44089209850063e-16
+1 0 0 0 0 9 12 12 -4.44089209850063e-16
+1 0 0 0 0 9 12 13 -4.44089209850063e-16
+1 0 0 0 0 9 12 14 -4.44089209850063e-16
+1 0 0 0 0 9 12 15 -4.44089209850063e-16
+1 0 0 0 0 9 12 16 -4.44089209850063e-16
+1 0 0 0 0 9 12 17 -4.44089209850063e-16
+1 0 0 0 0 9 12 18 -4.44089209850063e-16
+1 0 0 0 0 9 12 19 -4.44089209850063e-16
+1 0 0 0 0 9 12 20 -4.44089209850063e-16
+1 0 0 0 0 9 12 21 -4.44089209850063e-16
+1 0 0 0 0 9 12 22 -4.44089209850063e-16
+1 0 0 0 0 9 12 23 -4.44089209850063e-16
+1 0 0 0 0 9 12 24 -4.44089209850063e-16
+1 0 0 0 0 9 12 25 -4.44089209850063e-16
+1 0 0 0 0 9 12 26 -4.44089209850063e-16
+1 0 0 0 0 9 12 27 -4.44089209850063e-16
+1 0 0 0 0 9 12 28 -4.44089209850063e-16
+1 0 0 0 0 9 12 29 -4.44089209850063e-16
+1 0 0 0 0 9 12 30 -4.44089209850063e-16
+1 0 0 0 0 9 12 31 -4.44089209850063e-16
+1 0 0 0 0 9 12 32 -4.44089209850063e-16
+1 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 -4.44089209850063e-16
+2 0 0 0 0 9 12 1 -4.44089209850063e-16
+2 0 0 0 0 9 12 2 -4.44089209850063e-16
+2 0 0 0 0 9 12 3 -4.44089209850063e-16
+2 0 0 0 0 9 12 4 -4.44089209850063e-16
+2 0 0 0 0 9 12 5 -4.44089209850063e-16
+2 0 0 0 0 9 12 6 -4.44089209850063e-16
+2 0 0 0 0 9 12 7 -4.44089209850063e-16
+2 0 0 0 0 9 12 8 -4.44089209850063e-16
+2 0 0 0 0 9 12 9 -4.44089209850063e-16
+2 0 0 0 0 9 12 10 -4.44089209850063e-16
+2 0 0 0 0 9 12 11 -4.44089209850063e-16
+2 0 0 0 0 9 12 12 -4.44089209850063e-16
+2 0 0 0 0 9 12 13 -4.44089209850063e-16
+2 0 0 0 0 9 12 14 -4.44089209850063e-16
+2 0 0 0 0 9 12 15 -4.44089209850063e-16
+2 0 0 0 0 9 12 16 -4.44089209850063e-16
+2 0 0 0 0 9 12 17 -4.44089209850063e-16
+2 0 0 0 0 9 12 18 -4.44089209850063e-16
+2 0 0 0 0 9 12 19 -4.44089209850063e-16
+2 0 0 0 0 9 12 20 -4.44089209850063e-16
+2 0 0 0 0 9 12 21 -4.44089209850063e-16
+2 0 0 0 0 9 12 22 -4.44089209850063e-16
+2 0 0 0 0 9 12 23 -4.44089209850063e-16
+2 0 0 0 0 9 12 24 -4.44089209850063e-16
+2 0 0 0 0 9 12 25 -4.44089209850063e-16
+2 0 0 0 0 9 12 26 -4.44089209850063e-16
+2 0 0 0 0 9 12 27 -4.44089209850063e-16
+2 0 0 0 0 9 12 28 -4.44089209850063e-16
+2 0 0 0 0 9 12 29 -4.44089209850063e-16
+2 0 0 0 0 9 12 30 -4.44089209850063e-16
+2 0 0 0 0 9 12 31 -4.44089209850063e-16
+2 0 0 0 0 9 12 32 -4.44089209850063e-16
+2 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 -4.44089209850063e-16
+3 0 0 0 0 9 12 1 -4.44089209850063e-16
+3 0 0 0 0 9 12 2 -4.44089209850063e-16
+3 0 0 0 0 9 12 3 -4.44089209850063e-16
+3 0 0 0 0 9 12 4 -4.44089209850063e-16
+3 0 0 0 0 9 12 5 -4.44089209850063e-16
+3 0 0 0 0 9 12 6 -4.44089209850063e-16
+3 0 0 0 0 9 12 7 -4.44089209850063e-16
+3 0 0 0 0 9 12 8 -4.44089209850063e-16
+3 0 0 0 0 9 12 9 -4.44089209850063e-16
+3 0 0 0 0 9 12 10 -4.44089209850063e-16
+3 0 0 0 0 9 12 11 -4.44089209850063e-16
+3 0 0 0 0 9 12 12 -4.44089209850063e-16
+3 0 0 0 0 9 12 13 -4.44089209850063e-16
+3 0 0 0 0 9 12 14 -4.44089209850063e-16
+3 0 0 0 0 9 12 15 -4.44089209850063e-16
+3 0 0 0 0 9 12 16 -4.44089209850063e-16
+3 0 0 0 0 9 12 17 -4.44089209850063e-16
+3 0 0 0 0 9 12 18 -4.44089209850063e-16
+3 0 0 0 0 9 12 19 -4.44089209850063e-16
+3 0 0 0 0 9 12 20 -4.44089209850063e-16
+3 0 0 0 0 9 12 21 -4.44089209850063e-16
+3 0 0 0 0 9 12 22 -4.44089209850063e-16
+3 0 0 0 0 9 12 23 -4.44089209850063e-16
+3 0 0 0 0 9 12 24 -4.44089209850063e-16
+3 0 0 0 0 9 12 25 -4.44089209850063e-16
+3 0 0 0 0 9 12 26 -4.44089209850063e-16
+3 0 0 0 0 9 12 27 -4.44089209850063e-16
+3 0 0 0 0 9 12 28 -4.44089209850063e-16
+3 0 0 0 0 9 12 29 -4.44089209850063e-16
+3 0 0 0 0 9 12 30 -4.44089209850063e-16
+3 0 0 0 0 9 12 31 -4.44089209850063e-16
+3 0 0 0 0 9 12 32 -4.44089209850063e-16
+3 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 -4.44089209850063e-16
+4 0 0 0 0 9 12 1 -4.44089209850063e-16
+4 0 0 0 0 9 12 2 -4.44089209850063e-16
+4 0 0 0 0 9 12 3 -4.44089209850063e-16
+4 0 0 0 0 9 12 4 -4.44089209850063e-16
+4 0 0 0 0 9 12 5 -4.44089209850063e-16
+4 0 0 0 0 9 12 6 -4.44089209850063e-16
+4 0 0 0 0 9 12 7 -4.44089209850063e-16
+4 0 0 0 0 9 12 8 -4.44089209850063e-16
+4 0 0 0 0 9 12 9 -4.44089209850063e-16
+4 0 0 0 0 9 12 10 -4.44089209850063e-16
+4 0 0 0 0 9 12 11 -4.44089209850063e-16
+4 0 0 0 0 9 12 12 -4.44089209850063e-16
+4 0 0 0 0 9 12 13 -4.44089209850063e-16
+4 0 0 0 0 9 12 14 -4.44089209850063e-16
+4 0 0 0 0 9 12 15 -4.44089209850063e-16
+4 0 0 0 0 9 12 16 -4.44089209850063e-16
+4 0 0 0 0 9 12 17 -4.44089209850063e-16
+4 0 0 0 0 9 12 18 -4.44089209850063e-16
+4 0 0 0 0 9 12 19 -4.44089209850063e-16
+4 0 0 0 0 9 12 20 -4.44089209850063e-16
+4 0 0 0 0 9 12 21 -4.44089209850063e-16
+4 0 0 0 0 9 12 22 -4.44089209850063e-16
+4 0 0 0 0 9 12 23 -4.44089209850063e-16
+4 0 0 0 0 9 12 24 -4.44089209850063e-16
+4 0 0 0 0 9 12 25 -4.44089209850063e-16
+4 0 0 0 0 9 12 26 -4.44089209850063e-16
+4 0 0 0 0 9 12 27 -4.44089209850063e-16
+4 0 0 0 0 9 12 28 -4.44089209850063e-16
+4 0 0 0 0 9 12 29 -4.44089209850063e-16
+4 0 0 0 0 9 12 30 -4.44089209850063e-16
+4 0 0 0 0 9 12 31 -4.44089209850063e-16
+4 0 0 0 0 9 12 32 -4.44089209850063e-16
+4 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 -4.44089209850063e-16
+5 0 0 0 0 9 12 1 -4.44089209850063e-16
+5 0 0 0 0 9 12 2 -4.44089209850063e-16
+5 0 0 0 0 9 12 3 -4.44089209850063e-16
+5 0 0 0 0 9 12 4 -4.44089209850063e-16
+5 0 0 0 0 9 12 5 -4.44089209850063e-16
+5 0 0 0 0 9 12 6 -4.44089209850063e-16
+5 0 0 0 0 9 12 7 -4.44089209850063e-16
+5 0 0 0 0 9 12 8 -4.44089209850063e-16
+5 0 0 0 0 9 12 9 -4.44089209850063e-16
+5 0 0 0 0 9 12 10 -4.44089209850063e-16
+5 0 0 0 0 9 12 11 -4.44089209850063e-16
+5 0 0 0 0 9 12 12 -4.44089209850063e-16
+5 0 0 0 0 9 12 13 -4.44089209850063e-16
+5 0 0 0 0 9 12 14 -4.44089209850063e-16
+5 0 0 0 0 9 12 15 -4.44089209850063e-16
+5 0 0 0 0 9 12 16 -4.44089209850063e-16
+5 0 0 0 0 9 12 17 -4.44089209850063e-16
+5 0 0 0 0 9 12 18 -4.44089209850063e-16
+5 0 0 0 0 9 12 19 -4.44089209850063e-16
+5 0 0 0 0 9 12 20 -4.44089209850063e-16
+5 0 0 0 0 9 12 21 -4.44089209850063e-16
+5 0 0 0 0 9 12 22 -4.44089209850063e-16
+5 0 0 0 0 9 12 23 -4.44089209850063e-16
+5 0 0 0 0 9 12 24 -4.44089209850063e-16
+5 0 0 0 0 9 12 25 -4.44089209850063e-16
+5 0 0 0 0 9 12 26 -4.44089209850063e-16
+5 0 0 0 0 9 12 27 -4.44089209850063e-16
+5 0 0 0 0 9 12 28 -4.44089209850063e-16
+5 0 0 0 0 9 12 29 -4.44089209850063e-16
+5 0 0 0 0 9 12 30 -4.44089209850063e-16
+5 0 0 0 0 9 12 31 -4.44089209850063e-16
+5 0 0 0 0 9 12 32 -4.44089209850063e-16
+5 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 -4.44089209850063e-16
+6 0 0 0 0 9 12 1 -4.44089209850063e-16
+6 0 0 0 0 9 12 2 -4.44089209850063e-16
+6 0 0 0 0 9 12 3 -4.44089209850063e-16
+6 0 0 0 0 9 12 4 -4.44089209850063e-16
+6 0 0 0 0 9 12 5 -4.44089209850063e-16
+6 0 0 0 0 9 12 6 -4.44089209850063e-16
+6 0 0 0 0 9 12 7 -4.44089209850063e-16
+6 0 0 0 0 9 12 8 -4.44089209850063e-16
+6 0 0 0 0 9 12 9 -4.44089209850063e-16
+6 0 0 0 0 9 12 10 -4.44089209850063e-16
+6 0 0 0 0 9 12 11 -4.44089209850063e-16
+6 0 0 0 0 9 12 12 -4.44089209850063e-16
+6 0 0 0 0 9 12 13 -4.44089209850063e-16
+6 0 0 0 0 9 12 14 -4.44089209850063e-16
+6 0 0 0 0 9 12 15 -4.44089209850063e-16
+6 0 0 0 0 9 12 16 -4.44089209850063e-16
+6 0 0 0 0 9 12 17 -4.44089209850063e-16
+6 0 0 0 0 9 12 18 -4.44089209850063e-16
+6 0 0 0 0 9 12 19 -4.44089209850063e-16
+6 0 0 0 0 9 12 20 -4.44089209850063e-16
+6 0 0 0 0 9 12 21 -4.44089209850063e-16
+6 0 0 0 0 9 12 22 -4.44089209850063e-16
+6 0 0 0 0 9 12 23 -4.44089209850063e-16
+6 0 0 0 0 9 12 24 -4.44089209850063e-16
+6 0 0 0 0 9 12 25 -4.44089209850063e-16
+6 0 0 0 0 9 12 26 -4.44089209850063e-16
+6 0 0 0 0 9 12 27 -4.44089209850063e-16
+6 0 0 0 0 9 12 28 -4.44089209850063e-16
+6 0 0 0 0 9 12 29 -4.44089209850063e-16
+6 0 0 0 0 9 12 30 -4.44089209850063e-16
+6 0 0 0 0 9 12 31 -4.44089209850063e-16
+6 0 0 0 0 9 12 32 -4.44089209850063e-16
+6 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_z.xl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_z.xl
new file mode 100644
index 000000000..ec487ca98
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_z.xl
@@ -0,0 +1,170 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 0
+0 0 0 0 0 1 12 16 0
+0 0 0 0 0 2 12 16 0
+0 0 0 0 0 3 12 16 0
+0 0 0 0 0 4 12 16 0
+0 0 0 0 0 5 12 16 0
+0 0 0 0 0 6 12 16 0
+0 0 0 0 0 7 12 16 0
+0 0 0 0 0 8 12 16 0
+0 0 0 0 0 9 12 16 0
+0 0 0 0 0 10 12 16 0
+0 0 0 0 0 11 12 16 0
+0 0 0 0 0 12 12 16 0
+0 0 0 0 0 13 12 16 0
+0 0 0 0 0 14 12 16 0
+0 0 0 0 0 15 12 16 0
+0 0 0 0 0 16 12 16 0
+0 0 0 0 0 17 12 16 0
+0 0 0 0 0 18 12 16 0
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 0
+1 0 0 0 0 1 12 16 0
+1 0 0 0 0 2 12 16 0
+1 0 0 0 0 3 12 16 0
+1 0 0 0 0 4 12 16 0
+1 0 0 0 0 5 12 16 0
+1 0 0 0 0 6 12 16 0
+1 0 0 0 0 7 12 16 0
+1 0 0 0 0 8 12 16 0
+1 0 0 0 0 9 12 16 0
+1 0 0 0 0 10 12 16 0
+1 0 0 0 0 11 12 16 0
+1 0 0 0 0 12 12 16 0
+1 0 0 0 0 13 12 16 0
+1 0 0 0 0 14 12 16 0
+1 0 0 0 0 15 12 16 0
+1 0 0 0 0 16 12 16 0
+1 0 0 0 0 17 12 16 0
+1 0 0 0 0 18 12 16 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 0
+2 0 0 0 0 1 12 16 0
+2 0 0 0 0 2 12 16 0
+2 0 0 0 0 3 12 16 0
+2 0 0 0 0 4 12 16 0
+2 0 0 0 0 5 12 16 0
+2 0 0 0 0 6 12 16 0
+2 0 0 0 0 7 12 16 0
+2 0 0 0 0 8 12 16 0
+2 0 0 0 0 9 12 16 0
+2 0 0 0 0 10 12 16 0
+2 0 0 0 0 11 12 16 0
+2 0 0 0 0 12 12 16 0
+2 0 0 0 0 13 12 16 0
+2 0 0 0 0 14 12 16 0
+2 0 0 0 0 15 12 16 0
+2 0 0 0 0 16 12 16 0
+2 0 0 0 0 17 12 16 0
+2 0 0 0 0 18 12 16 0
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 0
+3 0 0 0 0 1 12 16 0
+3 0 0 0 0 2 12 16 0
+3 0 0 0 0 3 12 16 0
+3 0 0 0 0 4 12 16 0
+3 0 0 0 0 5 12 16 0
+3 0 0 0 0 6 12 16 0
+3 0 0 0 0 7 12 16 0
+3 0 0 0 0 8 12 16 0
+3 0 0 0 0 9 12 16 0
+3 0 0 0 0 10 12 16 0
+3 0 0 0 0 11 12 16 0
+3 0 0 0 0 12 12 16 0
+3 0 0 0 0 13 12 16 0
+3 0 0 0 0 14 12 16 0
+3 0 0 0 0 15 12 16 0
+3 0 0 0 0 16 12 16 0
+3 0 0 0 0 17 12 16 0
+3 0 0 0 0 18 12 16 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 0
+4 0 0 0 0 1 12 16 0
+4 0 0 0 0 2 12 16 0
+4 0 0 0 0 3 12 16 0
+4 0 0 0 0 4 12 16 0
+4 0 0 0 0 5 12 16 0
+4 0 0 0 0 6 12 16 0
+4 0 0 0 0 7 12 16 0
+4 0 0 0 0 8 12 16 0
+4 0 0 0 0 9 12 16 0
+4 0 0 0 0 10 12 16 0
+4 0 0 0 0 11 12 16 0
+4 0 0 0 0 12 12 16 0
+4 0 0 0 0 13 12 16 0
+4 0 0 0 0 14 12 16 0
+4 0 0 0 0 15 12 16 0
+4 0 0 0 0 16 12 16 0
+4 0 0 0 0 17 12 16 0
+4 0 0 0 0 18 12 16 0
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 0
+5 0 0 0 0 1 12 16 0
+5 0 0 0 0 2 12 16 0
+5 0 0 0 0 3 12 16 0
+5 0 0 0 0 4 12 16 0
+5 0 0 0 0 5 12 16 0
+5 0 0 0 0 6 12 16 0
+5 0 0 0 0 7 12 16 0
+5 0 0 0 0 8 12 16 0
+5 0 0 0 0 9 12 16 0
+5 0 0 0 0 10 12 16 0
+5 0 0 0 0 11 12 16 0
+5 0 0 0 0 12 12 16 0
+5 0 0 0 0 13 12 16 0
+5 0 0 0 0 14 12 16 0
+5 0 0 0 0 15 12 16 0
+5 0 0 0 0 16 12 16 0
+5 0 0 0 0 17 12 16 0
+5 0 0 0 0 18 12 16 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 0
+6 0 0 0 0 1 12 16 0
+6 0 0 0 0 2 12 16 0
+6 0 0 0 0 3 12 16 0
+6 0 0 0 0 4 12 16 0
+6 0 0 0 0 5 12 16 0
+6 0 0 0 0 6 12 16 0
+6 0 0 0 0 7 12 16 0
+6 0 0 0 0 8 12 16 0
+6 0 0 0 0 9 12 16 0
+6 0 0 0 0 10 12 16 0
+6 0 0 0 0 11 12 16 0
+6 0 0 0 0 12 12 16 0
+6 0 0 0 0 13 12 16 0
+6 0 0 0 0 14 12 16 0
+6 0 0 0 0 15 12 16 0
+6 0 0 0 0 16 12 16 0
+6 0 0 0 0 17 12 16 0
+6 0 0 0 0 18 12 16 0
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_z.yl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_z.yl
new file mode 100644
index 000000000..c52bfeb8e
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_z.yl
@@ -0,0 +1,219 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 0
+0 0 0 0 0 9 1 16 0
+0 0 0 0 0 9 2 16 0
+0 0 0 0 0 9 3 16 0
+0 0 0 0 0 9 4 16 0
+0 0 0 0 0 9 5 16 0
+0 0 0 0 0 9 6 16 0
+0 0 0 0 0 9 7 16 0
+0 0 0 0 0 9 8 16 0
+0 0 0 0 0 9 9 16 0
+0 0 0 0 0 9 10 16 0
+0 0 0 0 0 9 11 16 0
+0 0 0 0 0 9 12 16 0
+0 0 0 0 0 9 13 16 0
+0 0 0 0 0 9 14 16 0
+0 0 0 0 0 9 15 16 0
+0 0 0 0 0 9 16 16 0
+0 0 0 0 0 9 17 16 0
+0 0 0 0 0 9 18 16 0
+0 0 0 0 0 9 19 16 0
+0 0 0 0 0 9 20 16 0
+0 0 0 0 0 9 21 16 0
+0 0 0 0 0 9 22 16 0
+0 0 0 0 0 9 23 16 0
+0 0 0 0 0 9 24 16 0
+0 0 0 0 0 9 25 16 0
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 0
+1 0 0 0 0 9 1 16 0
+1 0 0 0 0 9 2 16 0
+1 0 0 0 0 9 3 16 0
+1 0 0 0 0 9 4 16 0
+1 0 0 0 0 9 5 16 0
+1 0 0 0 0 9 6 16 0
+1 0 0 0 0 9 7 16 0
+1 0 0 0 0 9 8 16 0
+1 0 0 0 0 9 9 16 0
+1 0 0 0 0 9 10 16 0
+1 0 0 0 0 9 11 16 0
+1 0 0 0 0 9 12 16 0
+1 0 0 0 0 9 13 16 0
+1 0 0 0 0 9 14 16 0
+1 0 0 0 0 9 15 16 0
+1 0 0 0 0 9 16 16 0
+1 0 0 0 0 9 17 16 0
+1 0 0 0 0 9 18 16 0
+1 0 0 0 0 9 19 16 0
+1 0 0 0 0 9 20 16 0
+1 0 0 0 0 9 21 16 0
+1 0 0 0 0 9 22 16 0
+1 0 0 0 0 9 23 16 0
+1 0 0 0 0 9 24 16 0
+1 0 0 0 0 9 25 16 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 0
+2 0 0 0 0 9 1 16 0
+2 0 0 0 0 9 2 16 0
+2 0 0 0 0 9 3 16 0
+2 0 0 0 0 9 4 16 0
+2 0 0 0 0 9 5 16 0
+2 0 0 0 0 9 6 16 0
+2 0 0 0 0 9 7 16 0
+2 0 0 0 0 9 8 16 0
+2 0 0 0 0 9 9 16 0
+2 0 0 0 0 9 10 16 0
+2 0 0 0 0 9 11 16 0
+2 0 0 0 0 9 12 16 0
+2 0 0 0 0 9 13 16 0
+2 0 0 0 0 9 14 16 0
+2 0 0 0 0 9 15 16 0
+2 0 0 0 0 9 16 16 0
+2 0 0 0 0 9 17 16 0
+2 0 0 0 0 9 18 16 0
+2 0 0 0 0 9 19 16 0
+2 0 0 0 0 9 20 16 0
+2 0 0 0 0 9 21 16 0
+2 0 0 0 0 9 22 16 0
+2 0 0 0 0 9 23 16 0
+2 0 0 0 0 9 24 16 0
+2 0 0 0 0 9 25 16 0
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 0
+3 0 0 0 0 9 1 16 0
+3 0 0 0 0 9 2 16 0
+3 0 0 0 0 9 3 16 0
+3 0 0 0 0 9 4 16 0
+3 0 0 0 0 9 5 16 0
+3 0 0 0 0 9 6 16 0
+3 0 0 0 0 9 7 16 0
+3 0 0 0 0 9 8 16 0
+3 0 0 0 0 9 9 16 0
+3 0 0 0 0 9 10 16 0
+3 0 0 0 0 9 11 16 0
+3 0 0 0 0 9 12 16 0
+3 0 0 0 0 9 13 16 0
+3 0 0 0 0 9 14 16 0
+3 0 0 0 0 9 15 16 0
+3 0 0 0 0 9 16 16 0
+3 0 0 0 0 9 17 16 0
+3 0 0 0 0 9 18 16 0
+3 0 0 0 0 9 19 16 0
+3 0 0 0 0 9 20 16 0
+3 0 0 0 0 9 21 16 0
+3 0 0 0 0 9 22 16 0
+3 0 0 0 0 9 23 16 0
+3 0 0 0 0 9 24 16 0
+3 0 0 0 0 9 25 16 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 0
+4 0 0 0 0 9 1 16 0
+4 0 0 0 0 9 2 16 0
+4 0 0 0 0 9 3 16 0
+4 0 0 0 0 9 4 16 0
+4 0 0 0 0 9 5 16 0
+4 0 0 0 0 9 6 16 0
+4 0 0 0 0 9 7 16 0
+4 0 0 0 0 9 8 16 0
+4 0 0 0 0 9 9 16 0
+4 0 0 0 0 9 10 16 0
+4 0 0 0 0 9 11 16 0
+4 0 0 0 0 9 12 16 0
+4 0 0 0 0 9 13 16 0
+4 0 0 0 0 9 14 16 0
+4 0 0 0 0 9 15 16 0
+4 0 0 0 0 9 16 16 0
+4 0 0 0 0 9 17 16 0
+4 0 0 0 0 9 18 16 0
+4 0 0 0 0 9 19 16 0
+4 0 0 0 0 9 20 16 0
+4 0 0 0 0 9 21 16 0
+4 0 0 0 0 9 22 16 0
+4 0 0 0 0 9 23 16 0
+4 0 0 0 0 9 24 16 0
+4 0 0 0 0 9 25 16 0
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 0
+5 0 0 0 0 9 1 16 0
+5 0 0 0 0 9 2 16 0
+5 0 0 0 0 9 3 16 0
+5 0 0 0 0 9 4 16 0
+5 0 0 0 0 9 5 16 0
+5 0 0 0 0 9 6 16 0
+5 0 0 0 0 9 7 16 0
+5 0 0 0 0 9 8 16 0
+5 0 0 0 0 9 9 16 0
+5 0 0 0 0 9 10 16 0
+5 0 0 0 0 9 11 16 0
+5 0 0 0 0 9 12 16 0
+5 0 0 0 0 9 13 16 0
+5 0 0 0 0 9 14 16 0
+5 0 0 0 0 9 15 16 0
+5 0 0 0 0 9 16 16 0
+5 0 0 0 0 9 17 16 0
+5 0 0 0 0 9 18 16 0
+5 0 0 0 0 9 19 16 0
+5 0 0 0 0 9 20 16 0
+5 0 0 0 0 9 21 16 0
+5 0 0 0 0 9 22 16 0
+5 0 0 0 0 9 23 16 0
+5 0 0 0 0 9 24 16 0
+5 0 0 0 0 9 25 16 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 0
+6 0 0 0 0 9 1 16 0
+6 0 0 0 0 9 2 16 0
+6 0 0 0 0 9 3 16 0
+6 0 0 0 0 9 4 16 0
+6 0 0 0 0 9 5 16 0
+6 0 0 0 0 9 6 16 0
+6 0 0 0 0 9 7 16 0
+6 0 0 0 0 9 8 16 0
+6 0 0 0 0 9 9 16 0
+6 0 0 0 0 9 10 16 0
+6 0 0 0 0 9 11 16 0
+6 0 0 0 0 9 12 16 0
+6 0 0 0 0 9 13 16 0
+6 0 0 0 0 9 14 16 0
+6 0 0 0 0 9 15 16 0
+6 0 0 0 0 9 16 16 0
+6 0 0 0 0 9 17 16 0
+6 0 0 0 0 9 18 16 0
+6 0 0 0 0 9 19 16 0
+6 0 0 0 0 9 20 16 0
+6 0 0 0 0 9 21 16 0
+6 0 0 0 0 9 22 16 0
+6 0 0 0 0 9 23 16 0
+6 0 0 0 0 9 24 16 0
+6 0 0 0 0 9 25 16 0
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_z.zl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_z.zl
new file mode 100644
index 000000000..53d0c0b35
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/cart3d_z.zl
@@ -0,0 +1,275 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 -9.6
+0 0 0 0 0 9 12 1 -9
+0 0 0 0 0 9 12 2 -8.4
+0 0 0 0 0 9 12 3 -7.8
+0 0 0 0 0 9 12 4 -7.2
+0 0 0 0 0 9 12 5 -6.6
+0 0 0 0 0 9 12 6 -6
+0 0 0 0 0 9 12 7 -5.4
+0 0 0 0 0 9 12 8 -4.8
+0 0 0 0 0 9 12 9 -4.2
+0 0 0 0 0 9 12 10 -3.6
+0 0 0 0 0 9 12 11 -3
+0 0 0 0 0 9 12 12 -2.4
+0 0 0 0 0 9 12 13 -1.8
+0 0 0 0 0 9 12 14 -1.2
+0 0 0 0 0 9 12 15 -0.6
+0 0 0 0 0 9 12 16 0
+0 0 0 0 0 9 12 17 0.6
+0 0 0 0 0 9 12 18 1.2
+0 0 0 0 0 9 12 19 1.8
+0 0 0 0 0 9 12 20 2.4
+0 0 0 0 0 9 12 21 3
+0 0 0 0 0 9 12 22 3.6
+0 0 0 0 0 9 12 23 4.2
+0 0 0 0 0 9 12 24 4.8
+0 0 0 0 0 9 12 25 5.4
+0 0 0 0 0 9 12 26 6
+0 0 0 0 0 9 12 27 6.6
+0 0 0 0 0 9 12 28 7.2
+0 0 0 0 0 9 12 29 7.8
+0 0 0 0 0 9 12 30 8.4
+0 0 0 0 0 9 12 31 9
+0 0 0 0 0 9 12 32 9.6
+0 0 0 0 0 9 12 33 10.2
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 -9.6
+1 0 0 0 0 9 12 1 -9
+1 0 0 0 0 9 12 2 -8.4
+1 0 0 0 0 9 12 3 -7.8
+1 0 0 0 0 9 12 4 -7.2
+1 0 0 0 0 9 12 5 -6.6
+1 0 0 0 0 9 12 6 -6
+1 0 0 0 0 9 12 7 -5.4
+1 0 0 0 0 9 12 8 -4.8
+1 0 0 0 0 9 12 9 -4.2
+1 0 0 0 0 9 12 10 -3.6
+1 0 0 0 0 9 12 11 -3
+1 0 0 0 0 9 12 12 -2.4
+1 0 0 0 0 9 12 13 -1.8
+1 0 0 0 0 9 12 14 -1.2
+1 0 0 0 0 9 12 15 -0.6
+1 0 0 0 0 9 12 16 0
+1 0 0 0 0 9 12 17 0.6
+1 0 0 0 0 9 12 18 1.2
+1 0 0 0 0 9 12 19 1.8
+1 0 0 0 0 9 12 20 2.4
+1 0 0 0 0 9 12 21 3
+1 0 0 0 0 9 12 22 3.6
+1 0 0 0 0 9 12 23 4.2
+1 0 0 0 0 9 12 24 4.8
+1 0 0 0 0 9 12 25 5.4
+1 0 0 0 0 9 12 26 6
+1 0 0 0 0 9 12 27 6.6
+1 0 0 0 0 9 12 28 7.2
+1 0 0 0 0 9 12 29 7.8
+1 0 0 0 0 9 12 30 8.4
+1 0 0 0 0 9 12 31 9
+1 0 0 0 0 9 12 32 9.6
+1 0 0 0 0 9 12 33 10.2
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 -9.6
+2 0 0 0 0 9 12 1 -9
+2 0 0 0 0 9 12 2 -8.4
+2 0 0 0 0 9 12 3 -7.8
+2 0 0 0 0 9 12 4 -7.2
+2 0 0 0 0 9 12 5 -6.6
+2 0 0 0 0 9 12 6 -6
+2 0 0 0 0 9 12 7 -5.4
+2 0 0 0 0 9 12 8 -4.8
+2 0 0 0 0 9 12 9 -4.2
+2 0 0 0 0 9 12 10 -3.6
+2 0 0 0 0 9 12 11 -3
+2 0 0 0 0 9 12 12 -2.4
+2 0 0 0 0 9 12 13 -1.8
+2 0 0 0 0 9 12 14 -1.2
+2 0 0 0 0 9 12 15 -0.6
+2 0 0 0 0 9 12 16 0
+2 0 0 0 0 9 12 17 0.6
+2 0 0 0 0 9 12 18 1.2
+2 0 0 0 0 9 12 19 1.8
+2 0 0 0 0 9 12 20 2.4
+2 0 0 0 0 9 12 21 3
+2 0 0 0 0 9 12 22 3.6
+2 0 0 0 0 9 12 23 4.2
+2 0 0 0 0 9 12 24 4.8
+2 0 0 0 0 9 12 25 5.4
+2 0 0 0 0 9 12 26 6
+2 0 0 0 0 9 12 27 6.6
+2 0 0 0 0 9 12 28 7.2
+2 0 0 0 0 9 12 29 7.8
+2 0 0 0 0 9 12 30 8.4
+2 0 0 0 0 9 12 31 9
+2 0 0 0 0 9 12 32 9.6
+2 0 0 0 0 9 12 33 10.2
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 -9.6
+3 0 0 0 0 9 12 1 -9
+3 0 0 0 0 9 12 2 -8.4
+3 0 0 0 0 9 12 3 -7.8
+3 0 0 0 0 9 12 4 -7.2
+3 0 0 0 0 9 12 5 -6.6
+3 0 0 0 0 9 12 6 -6
+3 0 0 0 0 9 12 7 -5.4
+3 0 0 0 0 9 12 8 -4.8
+3 0 0 0 0 9 12 9 -4.2
+3 0 0 0 0 9 12 10 -3.6
+3 0 0 0 0 9 12 11 -3
+3 0 0 0 0 9 12 12 -2.4
+3 0 0 0 0 9 12 13 -1.8
+3 0 0 0 0 9 12 14 -1.2
+3 0 0 0 0 9 12 15 -0.6
+3 0 0 0 0 9 12 16 0
+3 0 0 0 0 9 12 17 0.6
+3 0 0 0 0 9 12 18 1.2
+3 0 0 0 0 9 12 19 1.8
+3 0 0 0 0 9 12 20 2.4
+3 0 0 0 0 9 12 21 3
+3 0 0 0 0 9 12 22 3.6
+3 0 0 0 0 9 12 23 4.2
+3 0 0 0 0 9 12 24 4.8
+3 0 0 0 0 9 12 25 5.4
+3 0 0 0 0 9 12 26 6
+3 0 0 0 0 9 12 27 6.6
+3 0 0 0 0 9 12 28 7.2
+3 0 0 0 0 9 12 29 7.8
+3 0 0 0 0 9 12 30 8.4
+3 0 0 0 0 9 12 31 9
+3 0 0 0 0 9 12 32 9.6
+3 0 0 0 0 9 12 33 10.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 -9.6
+4 0 0 0 0 9 12 1 -9
+4 0 0 0 0 9 12 2 -8.4
+4 0 0 0 0 9 12 3 -7.8
+4 0 0 0 0 9 12 4 -7.2
+4 0 0 0 0 9 12 5 -6.6
+4 0 0 0 0 9 12 6 -6
+4 0 0 0 0 9 12 7 -5.4
+4 0 0 0 0 9 12 8 -4.8
+4 0 0 0 0 9 12 9 -4.2
+4 0 0 0 0 9 12 10 -3.6
+4 0 0 0 0 9 12 11 -3
+4 0 0 0 0 9 12 12 -2.4
+4 0 0 0 0 9 12 13 -1.8
+4 0 0 0 0 9 12 14 -1.2
+4 0 0 0 0 9 12 15 -0.6
+4 0 0 0 0 9 12 16 0
+4 0 0 0 0 9 12 17 0.6
+4 0 0 0 0 9 12 18 1.2
+4 0 0 0 0 9 12 19 1.8
+4 0 0 0 0 9 12 20 2.4
+4 0 0 0 0 9 12 21 3
+4 0 0 0 0 9 12 22 3.6
+4 0 0 0 0 9 12 23 4.2
+4 0 0 0 0 9 12 24 4.8
+4 0 0 0 0 9 12 25 5.4
+4 0 0 0 0 9 12 26 6
+4 0 0 0 0 9 12 27 6.6
+4 0 0 0 0 9 12 28 7.2
+4 0 0 0 0 9 12 29 7.8
+4 0 0 0 0 9 12 30 8.4
+4 0 0 0 0 9 12 31 9
+4 0 0 0 0 9 12 32 9.6
+4 0 0 0 0 9 12 33 10.2
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 -9.6
+5 0 0 0 0 9 12 1 -9
+5 0 0 0 0 9 12 2 -8.4
+5 0 0 0 0 9 12 3 -7.8
+5 0 0 0 0 9 12 4 -7.2
+5 0 0 0 0 9 12 5 -6.6
+5 0 0 0 0 9 12 6 -6
+5 0 0 0 0 9 12 7 -5.4
+5 0 0 0 0 9 12 8 -4.8
+5 0 0 0 0 9 12 9 -4.2
+5 0 0 0 0 9 12 10 -3.6
+5 0 0 0 0 9 12 11 -3
+5 0 0 0 0 9 12 12 -2.4
+5 0 0 0 0 9 12 13 -1.8
+5 0 0 0 0 9 12 14 -1.2
+5 0 0 0 0 9 12 15 -0.6
+5 0 0 0 0 9 12 16 0
+5 0 0 0 0 9 12 17 0.6
+5 0 0 0 0 9 12 18 1.2
+5 0 0 0 0 9 12 19 1.8
+5 0 0 0 0 9 12 20 2.4
+5 0 0 0 0 9 12 21 3
+5 0 0 0 0 9 12 22 3.6
+5 0 0 0 0 9 12 23 4.2
+5 0 0 0 0 9 12 24 4.8
+5 0 0 0 0 9 12 25 5.4
+5 0 0 0 0 9 12 26 6
+5 0 0 0 0 9 12 27 6.6
+5 0 0 0 0 9 12 28 7.2
+5 0 0 0 0 9 12 29 7.8
+5 0 0 0 0 9 12 30 8.4
+5 0 0 0 0 9 12 31 9
+5 0 0 0 0 9 12 32 9.6
+5 0 0 0 0 9 12 33 10.2
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 -9.6
+6 0 0 0 0 9 12 1 -9
+6 0 0 0 0 9 12 2 -8.4
+6 0 0 0 0 9 12 3 -7.8
+6 0 0 0 0 9 12 4 -7.2
+6 0 0 0 0 9 12 5 -6.6
+6 0 0 0 0 9 12 6 -6
+6 0 0 0 0 9 12 7 -5.4
+6 0 0 0 0 9 12 8 -4.8
+6 0 0 0 0 9 12 9 -4.2
+6 0 0 0 0 9 12 10 -3.6
+6 0 0 0 0 9 12 11 -3
+6 0 0 0 0 9 12 12 -2.4
+6 0 0 0 0 9 12 13 -1.8
+6 0 0 0 0 9 12 14 -1.2
+6 0 0 0 0 9 12 15 -0.6
+6 0 0 0 0 9 12 16 0
+6 0 0 0 0 9 12 17 0.6
+6 0 0 0 0 9 12 18 1.2
+6 0 0 0 0 9 12 19 1.8
+6 0 0 0 0 9 12 20 2.4
+6 0 0 0 0 9 12 21 3
+6 0 0 0 0 9 12 22 3.6
+6 0 0 0 0 9 12 23 4.2
+6 0 0 0 0 9 12 24 4.8
+6 0 0 0 0 9 12 25 5.4
+6 0 0 0 0 9 12 26 6
+6 0 0 0 0 9 12 27 6.6
+6 0 0 0 0 9 12 28 7.2
+6 0 0 0 0 9 12 29 7.8
+6 0 0 0 0 9 12 30 8.4
+6 0 0 0 0 9 12 31 9
+6 0 0 0 0 9 12 32 9.6
+6 0 0 0 0 9 12 33 10.2
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/phi.xl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/phi.xl
new file mode 100644
index 000000000..8fc08860c
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/phi.xl
@@ -0,0 +1,170 @@
+# SPACETIMETOY::phi x (phi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -0.80901699437495
+0 0 0 0 0 1 12 16 -0.978147600733806
+0 0 0 0 0 2 12 16 -0.978147600733805
+0 0 0 0 0 3 12 16 -0.809016994374946
+0 0 0 0 0 4 12 16 -0.499999999999998
+0 0 0 0 0 5 12 16 -0.104528463267652
+0 0 0 0 0 6 12 16 0.309016994374949
+0 0 0 0 0 7 12 16 0.669130606358859
+0 0 0 0 0 8 12 16 0.913545457642601
+0 0 0 0 0 9 12 16 1
+0 0 0 0 0 10 12 16 0.913545457642601
+0 0 0 0 0 11 12 16 0.669130606358859
+0 0 0 0 0 12 12 16 0.309016994374948
+0 0 0 0 0 13 12 16 -0.104528463267652
+0 0 0 0 0 14 12 16 -0.499999999999998
+0 0 0 0 0 15 12 16 -0.809016994374946
+0 0 0 0 0 16 12 16 -0.978147600733805
+0 0 0 0 0 17 12 16 -0.978147600733806
+0 0 0 0 0 18 12 16 -0.809016994374949
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -0.953971314608739
+1 0 0 0 0 1 12 16 -0.992500903451822
+1 0 0 0 0 2 12 16 -0.859418069500438
+1 0 0 0 0 3 12 16 -0.577734043764375
+1 0 0 0 0 4 12 16 -0.196154553312435
+1 0 0 0 0 5 12 16 0.219341841415398
+1 0 0 0 0 6 12 16 0.596912039104437
+1 0 0 0 0 7 12 16 0.871270722456683
+1 0 0 0 0 8 12 16 0.994978782650144
+1 0 0 0 0 9 12 16 0.946645972224925
+1 0 0 0 0 10 12 16 0.734629473193344
+1 0 0 0 0 11 12 16 0.395588864347387
+1 0 0 0 0 12 12 16 -0.0118526529562421
+1 0 0 0 0 13 12 16 -0.417244738885765
+1 0 0 0 0 14 12 16 -0.750491418912486
+1 0 0 0 0 15 12 16 -0.953971314608739
+1 0 0 0 0 16 12 16 -0.992500903451822
+1 0 0 0 0 17 12 16 -0.859418069500438
+1 0 0 0 0 18 12 16 -0.577734043764375
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -0.999370763983347
+2 0 0 0 0 1 12 16 -0.903656530021145
+2 0 0 0 0 2 12 16 -0.651691872556433
+2 0 0 0 0 3 12 16 -0.287043769891917
+2 0 0 0 0 4 12 16 0.127236808297695
+2 0 0 0 0 5 12 16 0.519516986422521
+2 0 0 0 0 6 12 16 0.821967957931238
+2 0 0 0 0 7 12 16 0.982293202169174
+2 0 0 0 0 8 12 16 0.97277102789847
+2 0 0 0 0 9 12 16 0.795047905556768
+2 0 0 0 0 10 12 16 0.479853777560828
+2 0 0 0 0 11 12 16 0.0816885720899077
+2 0 0 0 0 12 12 16 -0.330601329612738
+2 0 0 0 0 13 12 16 -0.685727258006549
+2 0 0 0 0 14 12 16 -0.92228471385446
+2 0 0 0 0 15 12 16 -0.999370763983347
+2 0 0 0 0 16 12 16 -0.903656530021145
+2 0 0 0 0 17 12 16 -0.651691872556433
+2 0 0 0 0 18 12 16 -0.287043769891917
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -0.940772482221604
+3 0 0 0 0 1 12 16 -0.72113465964661
+3 0 0 0 0 2 12 16 -0.376806103116003
+3 0 0 0 0 3 12 16 0.032675651819342
+3 0 0 0 0 4 12 16 0.436507489706144
+3 0 0 0 0 5 12 16 0.764863217076703
+3 0 0 0 0 6 12 16 0.960967145650513
+3 0 0 0 0 7 12 16 0.990911124628901
+3 0 0 0 0 8 12 16 0.849517568013995
+3 0 0 0 0 9 12 16 0.561234706264648
+3 0 0 0 0 10 12 16 0.175909265144902
+3 0 0 0 0 11 12 16 -0.239832486003902
+3 0 0 0 0 12 12 16 -0.614105021512896
+3 0 0 0 0 13 12 16 -0.882193219833334
+3 0 0 0 0 14 12 16 -0.99774219597079
+3 0 0 0 0 15 12 16 -0.940772482221604
+3 0 0 0 0 16 12 16 -0.72113465964661
+3 0 0 0 0 17 12 16 -0.376806103116003
+3 0 0 0 0 18 12 16 0.032675651819342
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -0.784555166832482
+4 0 0 0 0 1 12 16 -0.46416568403101
+4 0 0 0 0 2 12 16 -0.0635177376477175
+4 0 0 0 0 3 12 16 0.348113002615396
+4 0 0 0 0 4 12 16 0.699551842218961
+4 0 0 0 0 5 12 16 0.930031813073894
+4 0 0 0 0 6 12 16 0.999700834374577
+4 0 0 0 0 7 12 16 0.896512499414931
+4 0 0 0 0 8 12 16 0.638309008746074
+4 0 0 0 0 9 12 16 0.269736091609723
+4 0 0 0 0 10 12 16 -0.145476646241412
+4 0 0 0 0 11 12 16 -0.535535150343565
+4 0 0 0 0 12 12 16 -0.832994761767212
+4 0 0 0 0 13 12 16 -0.986422011361468
+4 0 0 0 0 14 12 16 -0.969287933828683
+4 0 0 0 0 15 12 16 -0.784555166832482
+4 0 0 0 0 16 12 16 -0.46416568403101
+4 0 0 0 0 17 12 16 -0.0635177376477175
+4 0 0 0 0 18 12 16 0.348113002615396
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -0.547226104816255
+5 0 0 0 0 1 12 16 -0.159664547344708
+5 0 0 0 0 2 12 16 0.255504460869614
+5 0 0 0 0 3 12 16 0.626494426614424
+5 0 0 0 0 4 12 16 0.889157814474411
+5 0 0 0 0 5 12 16 0.998077738466617
+5 0 0 0 0 6 12 16 0.934420954226345
+5 0 0 0 0 7 12 16 0.709194298052467
+5 0 0 0 0 8 12 16 0.361341504917384
+5 0 0 0 0 9 12 16 -0.0489905171024318
+5 0 0 0 0 10 12 16 -0.450851633650361
+5 0 0 0 0 11 12 16 -0.774756406881636
+5 0 0 0 0 12 12 16 -0.964698758922081
+5 0 0 0 0 13 12 16 -0.987835931531807
+5 0 0 0 0 14 12 16 -0.840167297371979
+5 0 0 0 0 15 12 16 -0.547226104816255
+5 0 0 0 0 16 12 16 -0.159664547344708
+5 0 0 0 0 17 12 16 0.255504460869614
+5 0 0 0 0 18 12 16 0.626494426614424
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -0.25367738570064
+6 0 0 0 0 1 12 16 0.16058801325309
+6 0 0 0 0 2 12 16 0.547086285819059
+6 0 0 0 0 3 12 16 0.838988369444036
+6 0 0 0 0 4 12 16 0.985821742022085
+6 0 0 0 0 5 12 16 0.962197579495146
+6 0 0 0 0 6 12 16 0.772200714182908
+6 0 0 0 0 7 12 16 0.448683330165189
+6 0 0 0 0 8 12 16 0.0475845222018209
+6 0 0 0 0 9 12 16 -0.361742081942056
+6 0 0 0 0 10 12 16 -0.708520193794506
+6 0 0 0 0 11 12 16 -0.932788727435997
+6 0 0 0 0 12 12 16 -0.995769615984248
+6 0 0 0 0 13 12 16 -0.886572891645858
+6 0 0 0 0 14 12 16 -0.624079660080029
+6 0 0 0 0 15 12 16 -0.25367738570064
+6 0 0 0 0 16 12 16 0.16058801325309
+6 0 0 0 0 17 12 16 0.547086285819059
+6 0 0 0 0 18 12 16 0.838988369444036
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/phi.yl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/phi.yl
new file mode 100644
index 000000000..1f40e5b6b
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/phi.yl
@@ -0,0 +1,219 @@
+# SPACETIMETOY::phi y (phi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -0.959492973614494
+0 0 0 0 0 9 1 16 -1
+0 0 0 0 0 9 2 16 -0.9594929736145
+0 0 0 0 0 9 3 16 -0.841253532831185
+0 0 0 0 0 9 4 16 -0.65486073394529
+0 0 0 0 0 9 5 16 -0.415415013001892
+0 0 0 0 0 9 6 16 -0.142314838273291
+0 0 0 0 0 9 7 16 0.142314838273281
+0 0 0 0 0 9 8 16 0.415415013001883
+0 0 0 0 0 9 9 16 0.654860733945283
+0 0 0 0 0 9 10 16 0.84125353283118
+0 0 0 0 0 9 11 16 0.959492973614497
+0 0 0 0 0 9 12 16 1
+0 0 0 0 0 9 13 16 0.959492973614497
+0 0 0 0 0 9 14 16 0.84125353283118
+0 0 0 0 0 9 15 16 0.654860733945283
+0 0 0 0 0 9 16 16 0.415415013001883
+0 0 0 0 0 9 17 16 0.142314838273281
+0 0 0 0 0 9 18 16 -0.142314838273291
+0 0 0 0 0 9 19 16 -0.415415013001892
+0 0 0 0 0 9 20 16 -0.65486073394529
+0 0 0 0 0 9 21 16 -0.841253532831186
+0 0 0 0 0 9 22 16 -0.9594929736145
+0 0 0 0 0 9 23 16 -1
+0 0 0 0 0 9 24 16 -0.959492973614494
+0 0 0 0 0 9 25 16 -0.841253532831175
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 -0.998467688471524
+1 0 0 0 0 9 1 16 -0.946645972224922
+1 0 0 0 0 9 2 16 -0.818132629229041
+1 0 0 0 0 9 3 16 -0.623339046235111
+1 0 0 0 0 9 4 16 -0.378046240855262
+1 0 0 0 0 9 5 16 -0.102126377368883
+1 0 0 0 0 9 6 16 0.182067157842969
+1 0 0 0 0 9 7 16 0.451510694721464
+1 0 0 0 0 9 8 16 0.684375520351121
+1 0 0 0 0 9 9 16 0.861796311459868
+1 0 0 0 0 9 10 16 0.969399490714147
+1 0 0 0 0 9 11 16 0.998467688471524
+1 0 0 0 0 9 12 16 0.946645972224925
+1 0 0 0 0 9 13 16 0.818132629229036
+1 0 0 0 0 9 14 16 0.623339046235104
+1 0 0 0 0 9 15 16 0.378046240855253
+1 0 0 0 0 9 16 16 0.102126377368874
+1 0 0 0 0 9 17 16 -0.182067157842979
+1 0 0 0 0 9 18 16 -0.451510694721473
+1 0 0 0 0 9 19 16 -0.684375520351128
+1 0 0 0 0 9 20 16 -0.861796311459873
+1 0 0 0 0 9 21 16 -0.969399490714149
+1 0 0 0 0 9 22 16 -0.998467688471524
+1 0 0 0 0 9 23 16 -0.946645972224922
+1 0 0 0 0 9 24 16 -0.818132629229041
+1 0 0 0 0 9 25 16 -0.623339046235111
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 -0.933556336551482
+2 0 0 0 0 9 1 16 -0.795047905556765
+2 0 0 0 0 9 2 16 -0.592129421585802
+2 0 0 0 0 9 3 16 -0.341240133407217
+2 0 0 0 0 9 4 16 -0.0627055990531928
+2 0 0 0 0 9 5 16 0.220908970011565
+2 0 0 0 0 9 6 16 0.486626808122216
+2 0 0 0 0 9 7 16 0.712921036319869
+2 0 0 0 0 9 8 16 0.881458642059544
+2 0 0 0 0 9 9 16 0.978585710855947
+2 0 0 0 0 9 10 16 0.996433585232115
+2 0 0 0 0 9 11 16 0.933556336551486
+2 0 0 0 0 9 12 16 0.795047905556768
+2 0 0 0 0 9 13 16 0.592129421585796
+2 0 0 0 0 9 14 16 0.341240133407208
+2 0 0 0 0 9 15 16 0.062705599053183
+2 0 0 0 0 9 16 16 -0.220908970011574
+2 0 0 0 0 9 17 16 -0.486626808122225
+2 0 0 0 0 9 18 16 -0.712921036319876
+2 0 0 0 0 9 19 16 -0.881458642059548
+2 0 0 0 0 9 20 16 -0.978585710855949
+2 0 0 0 0 9 21 16 -0.996433585232114
+2 0 0 0 0 9 22 16 -0.933556336551482
+2 0 0 0 0 9 23 16 -0.795047905556765
+2 0 0 0 0 9 24 16 -0.592129421585802
+2 0 0 0 0 9 25 16 -0.341240133407217
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 -0.771793469714844
+3 0 0 0 0 9 1 16 -0.561234706264647
+3 0 0 0 0 9 2 16 -0.305208044704207
+3 0 0 0 0 9 3 16 -0.0244552425039632
+3 0 0 0 0 9 4 16 0.258278778003027
+3 0 0 0 0 9 5 16 0.52008858795925
+3 0 0 0 0 9 6 16 0.739763913604945
+3 0 0 0 0 9 7 16 0.899507966515762
+3 0 0 0 0 9 8 16 0.986379233559332
+3 0 0 0 0 9 9 16 0.993339921323102
+3 0 0 0 0 9 10 16 0.919826116281255
+3 0 0 0 0 9 11 16 0.77179346971485
+3 0 0 0 0 9 12 16 0.561234706264648
+3 0 0 0 0 9 13 16 0.305208044704202
+3 0 0 0 0 9 14 16 0.0244552425039541
+3 0 0 0 0 9 15 16 -0.258278778003037
+3 0 0 0 0 9 16 16 -0.520088587959259
+3 0 0 0 0 9 17 16 -0.739763913604951
+3 0 0 0 0 9 18 16 -0.899507966515767
+3 0 0 0 0 9 19 16 -0.986379233559334
+3 0 0 0 0 9 20 16 -0.993339921323101
+3 0 0 0 0 9 21 16 -0.919826116281251
+3 0 0 0 0 9 22 16 -0.771793469714844
+3 0 0 0 0 9 23 16 -0.561234706264647
+3 0 0 0 0 9 24 16 -0.305208044704207
+3 0 0 0 0 9 25 16 -0.0244552425039632
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 -0.530260638273941
+4 0 0 0 0 9 1 16 -0.269736091609724
+4 0 0 0 0 9 2 16 0.012640869014411
+4 0 0 0 0 9 3 16 0.29399374160914
+4 0 0 0 0 9 4 16 0.551528989706803
+4 0 0 0 0 9 5 16 0.764382639127621
+4 0 0 0 0 9 6 16 0.915310553084914
+4 0 0 0 0 9 7 16 0.992085449592727
+4 0 0 0 0 9 8 16 0.988487483133888
+4 0 0 0 0 9 9 16 0.904808139552962
+4 0 0 0 0 9 10 16 0.747826621606656
+4 0 0 0 0 9 11 16 0.530260638273946
+4 0 0 0 0 9 12 16 0.269736091609723
+4 0 0 0 0 9 13 16 -0.0126408690144145
+4 0 0 0 0 9 14 16 -0.293993741609147
+4 0 0 0 0 9 15 16 -0.551528989706811
+4 0 0 0 0 9 16 16 -0.764382639127627
+4 0 0 0 0 9 17 16 -0.915310553084918
+4 0 0 0 0 9 18 16 -0.992085449592728
+4 0 0 0 0 9 19 16 -0.988487483133887
+4 0 0 0 0 9 20 16 -0.904808139552958
+4 0 0 0 0 9 21 16 -0.74782662160665
+4 0 0 0 0 9 22 16 -0.530260638273941
+4 0 0 0 0 9 23 16 -0.269736091609724
+4 0 0 0 0 9 24 16 0.012640869014411
+4 0 0 0 0 9 25 16 0.29399374160914
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 -0.234283142691294
+5 0 0 0 0 9 1 16 0.0489905171024299
+5 0 0 0 0 9 2 16 0.328295256558344
+5 0 0 0 0 9 3 16 0.581003466774967
+5 0 0 0 0 9 4 16 0.786642231474147
+5 0 0 0 0 9 5 16 0.928551920920781
+5 0 0 0 0 9 6 16 0.99523585604532
+5 0 0 0 0 9 7 16 0.981291701008607
+5 0 0 0 0 9 8 16 0.887849128322633
+5 0 0 0 0 9 9 16 0.722478299502037
+5 0 0 0 0 9 10 16 0.498576575599677
+5 0 0 0 0 9 11 16 0.234283142691298
+5 0 0 0 0 9 12 16 -0.0489905171024318
+5 0 0 0 0 9 13 16 -0.328295256558346
+5 0 0 0 0 9 14 16 -0.581003466774971
+5 0 0 0 0 9 15 16 -0.786642231474152
+5 0 0 0 0 9 16 16 -0.928551920920784
+5 0 0 0 0 9 17 16 -0.995235856045321
+5 0 0 0 0 9 18 16 -0.981291701008606
+5 0 0 0 0 9 19 16 -0.887849128322629
+5 0 0 0 0 9 20 16 -0.722478299502031
+5 0 0 0 0 9 21 16 -0.49857657559967
+5 0 0 0 0 9 22 16 -0.234283142691294
+5 0 0 0 0 9 23 16 0.0489905171024299
+5 0 0 0 0 9 24 16 0.328295256558344
+5 0 0 0 0 9 25 16 0.581003466774967
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 0.0852250519308664
+6 0 0 0 0 9 1 16 0.361742081942054
+6 0 0 0 0 9 2 16 0.608952919837298
+6 0 0 0 0 9 3 16 0.806830013749785
+6 0 0 0 0 9 4 16 0.939342538351114
+6 0 0 0 0 9 5 16 0.995755116980417
+6 0 0 0 0 9 6 16 0.971497538015671
+6 0 0 0 0 9 7 16 0.868535006239222
+6 0 0 0 0 9 8 16 0.695208933633843
+6 0 0 0 0 9 9 16 0.465561167792177
+6 0 0 0 0 9 10 16 0.198196404934864
+6 0 0 0 0 9 11 16 -0.0852250519308652
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+6 0 0 0 0 9 13 16 -0.608952919837299
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+6 0 0 0 0 9 17 16 -0.971497538015669
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+6 0 0 0 0 9 19 16 -0.695208933633836
+6 0 0 0 0 9 20 16 -0.465561167792169
+6 0 0 0 0 9 21 16 -0.198196404934858
+6 0 0 0 0 9 22 16 0.0852250519308664
+6 0 0 0 0 9 23 16 0.361742081942054
+6 0 0 0 0 9 24 16 0.608952919837298
+6 0 0 0 0 9 25 16 0.806830013749785
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/phi.zl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/phi.zl
new file mode 100644
index 000000000..4e5ff578a
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/phi.zl
@@ -0,0 +1,275 @@
+# SPACETIMETOY::phi z (phi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 0.913545457642604
+0 0 0 0 0 9 12 1 1
+0 0 0 0 0 9 12 2 0.913545457642598
+0 0 0 0 0 9 12 3 0.669130606358854
+0 0 0 0 0 9 12 4 0.309016994374942
+0 0 0 0 0 9 12 5 -0.104528463267659
+0 0 0 0 0 9 12 6 -0.500000000000004
+0 0 0 0 0 9 12 7 -0.80901699437495
+0 0 0 0 0 9 12 8 -0.978147600733806
+0 0 0 0 0 9 12 9 -0.978147600733805
+0 0 0 0 0 9 12 10 -0.809016994374946
+0 0 0 0 0 9 12 11 -0.499999999999998
+0 0 0 0 0 9 12 12 -0.104528463267652
+0 0 0 0 0 9 12 13 0.309016994374949
+0 0 0 0 0 9 12 14 0.669130606358859
+0 0 0 0 0 9 12 15 0.913545457642601
+0 0 0 0 0 9 12 16 1
+0 0 0 0 0 9 12 17 0.913545457642601
+0 0 0 0 0 9 12 18 0.669130606358859
+0 0 0 0 0 9 12 19 0.309016994374949
+0 0 0 0 0 9 12 20 -0.104528463267652
+0 0 0 0 0 9 12 21 -0.499999999999998
+0 0 0 0 0 9 12 22 -0.809016994374946
+0 0 0 0 0 9 12 23 -0.978147600733805
+0 0 0 0 0 9 12 24 -0.978147600733806
+0 0 0 0 0 9 12 25 -0.80901699437495
+0 0 0 0 0 9 12 26 -0.500000000000003
+0 0 0 0 0 9 12 27 -0.104528463267659
+0 0 0 0 0 9 12 28 0.309016994374942
+0 0 0 0 0 9 12 29 0.669130606358854
+0 0 0 0 0 9 12 30 0.913545457642598
+0 0 0 0 0 9 12 31 1
+0 0 0 0 0 9 12 32 0.913545457642604
+0 0 0 0 0 9 12 33 0.669130606358864
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 0.994978782650144
+1 0 0 0 0 9 12 1 0.946645972224926
+1 0 0 0 0 9 12 2 0.73462947319334
+1 0 0 0 0 9 12 3 0.395588864347381
+1 0 0 0 0 9 12 4 -0.0118526529562487
+1 0 0 0 0 9 12 5 -0.417244738885771
+1 0 0 0 0 9 12 6 -0.750491418912491
+1 0 0 0 0 9 12 7 -0.953971314608741
+1 0 0 0 0 9 12 8 -0.992500903451822
+1 0 0 0 0 9 12 9 -0.859418069500438
+1 0 0 0 0 9 12 10 -0.577734043764375
+1 0 0 0 0 9 12 11 -0.196154553312435
+1 0 0 0 0 9 12 12 0.219341841415398
+1 0 0 0 0 9 12 13 0.596912039104437
+1 0 0 0 0 9 12 14 0.871270722456683
+1 0 0 0 0 9 12 15 0.994978782650144
+1 0 0 0 0 9 12 16 0.946645972224925
+1 0 0 0 0 9 12 17 0.734629473193344
+1 0 0 0 0 9 12 18 0.395588864347388
+1 0 0 0 0 9 12 19 -0.0118526529562417
+1 0 0 0 0 9 12 20 -0.417244738885765
+1 0 0 0 0 9 12 21 -0.750491418912486
+1 0 0 0 0 9 12 22 -0.953971314608739
+1 0 0 0 0 9 12 23 -0.992500903451823
+1 0 0 0 0 9 12 24 -0.859418069500442
+1 0 0 0 0 9 12 25 -0.577734043764381
+1 0 0 0 0 9 12 26 -0.196154553312441
+1 0 0 0 0 9 12 27 0.219341841415391
+1 0 0 0 0 9 12 28 0.596912039104431
+1 0 0 0 0 9 12 29 0.87127072245668
+1 0 0 0 0 9 12 30 0.994978782650144
+1 0 0 0 0 9 12 31 0.946645972224926
+1 0 0 0 0 9 12 32 0.73462947319334
+1 0 0 0 0 9 12 33 0.395588864347381
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 0.972771027898471
+2 0 0 0 0 9 12 1 0.795047905556769
+2 0 0 0 0 9 12 2 0.479853777560824
+2 0 0 0 0 9 12 3 0.0816885720899012
+2 0 0 0 0 9 12 4 -0.330601329612744
+2 0 0 0 0 9 12 5 -0.685727258006554
+2 0 0 0 0 9 12 6 -0.922284713854463
+2 0 0 0 0 9 12 7 -0.999370763983347
+2 0 0 0 0 9 12 8 -0.903656530021143
+2 0 0 0 0 9 12 9 -0.651691872556433
+2 0 0 0 0 9 12 10 -0.287043769891917
+2 0 0 0 0 9 12 11 0.127236808297695
+2 0 0 0 0 9 12 12 0.519516986422521
+2 0 0 0 0 9 12 13 0.821967957931238
+2 0 0 0 0 9 12 14 0.982293202169174
+2 0 0 0 0 9 12 15 0.97277102789847
+2 0 0 0 0 9 12 16 0.795047905556768
+2 0 0 0 0 9 12 17 0.479853777560828
+2 0 0 0 0 9 12 18 0.0816885720899079
+2 0 0 0 0 9 12 19 -0.330601329612737
+2 0 0 0 0 9 12 20 -0.685727258006549
+2 0 0 0 0 9 12 21 -0.92228471385446
+2 0 0 0 0 9 12 22 -0.999370763983348
+2 0 0 0 0 9 12 23 -0.903656530021146
+2 0 0 0 0 9 12 24 -0.651691872556438
+2 0 0 0 0 9 12 25 -0.287043769891923
+2 0 0 0 0 9 12 26 0.127236808297689
+2 0 0 0 0 9 12 27 0.519516986422515
+2 0 0 0 0 9 12 28 0.821967957931234
+2 0 0 0 0 9 12 29 0.982293202169172
+2 0 0 0 0 9 12 30 0.972771027898471
+2 0 0 0 0 9 12 31 0.795047905556769
+2 0 0 0 0 9 12 32 0.479853777560824
+2 0 0 0 0 9 12 33 0.0816885720899012
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 0.849517568013997
+3 0 0 0 0 9 12 1 0.561234706264648
+3 0 0 0 0 9 12 2 0.175909265144898
+3 0 0 0 0 9 12 3 -0.239832486003908
+3 0 0 0 0 9 12 4 -0.614105021512901
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+3 0 0 0 0 9 12 6 -0.997742195970791
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+3 0 0 0 0 9 12 10 0.0326756518193423
+3 0 0 0 0 9 12 11 0.436507489706144
+3 0 0 0 0 9 12 12 0.764863217076703
+3 0 0 0 0 9 12 13 0.960967145650513
+3 0 0 0 0 9 12 14 0.990911124628901
+3 0 0 0 0 9 12 15 0.849517568013995
+3 0 0 0 0 9 12 16 0.561234706264648
+3 0 0 0 0 9 12 17 0.175909265144902
+3 0 0 0 0 9 12 18 -0.239832486003901
+3 0 0 0 0 9 12 19 -0.614105021512896
+3 0 0 0 0 9 12 20 -0.882193219833334
+3 0 0 0 0 9 12 21 -0.99774219597079
+3 0 0 0 0 9 12 22 -0.940772482221604
+3 0 0 0 0 9 12 23 -0.721134659646613
+3 0 0 0 0 9 12 24 -0.376806103116008
+3 0 0 0 0 9 12 25 0.0326756518193357
+3 0 0 0 0 9 12 26 0.436507489706138
+3 0 0 0 0 9 12 27 0.764863217076699
+3 0 0 0 0 9 12 28 0.960967145650511
+3 0 0 0 0 9 12 29 0.990911124628902
+3 0 0 0 0 9 12 30 0.849517568013997
+3 0 0 0 0 9 12 31 0.561234706264648
+3 0 0 0 0 9 12 32 0.175909265144898
+3 0 0 0 0 9 12 33 -0.239832486003908
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 0.638309008746076
+4 0 0 0 0 9 12 1 0.269736091609722
+4 0 0 0 0 9 12 2 -0.145476646241414
+4 0 0 0 0 9 12 3 -0.53553515034357
+4 0 0 0 0 9 12 4 -0.832994761767215
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+4 0 0 0 0 9 12 10 0.348113002615397
+4 0 0 0 0 9 12 11 0.699551842218961
+4 0 0 0 0 9 12 12 0.930031813073894
+4 0 0 0 0 9 12 13 0.999700834374576
+4 0 0 0 0 9 12 14 0.896512499414931
+4 0 0 0 0 9 12 15 0.638309008746074
+4 0 0 0 0 9 12 16 0.269736091609723
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+4 0 0 0 0 9 12 23 -0.464165684031013
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+4 0 0 0 0 9 12 25 0.348113002615391
+4 0 0 0 0 9 12 26 0.699551842218956
+4 0 0 0 0 9 12 27 0.930031813073892
+4 0 0 0 0 9 12 28 0.999700834374577
+4 0 0 0 0 9 12 29 0.896512499414933
+4 0 0 0 0 9 12 30 0.638309008746076
+4 0 0 0 0 9 12 31 0.269736091609722
+4 0 0 0 0 9 12 32 -0.145476646241414
+4 0 0 0 0 9 12 33 -0.53553515034357
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 0.361341504917385
+5 0 0 0 0 9 12 1 -0.0489905171024341
+5 0 0 0 0 9 12 2 -0.450851633650363
+5 0 0 0 0 9 12 3 -0.774756406881637
+5 0 0 0 0 9 12 4 -0.964698758922082
+5 0 0 0 0 9 12 5 -0.987835931531806
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+5 0 0 0 0 9 12 10 0.626494426614425
+5 0 0 0 0 9 12 11 0.889157814474411
+5 0 0 0 0 9 12 12 0.998077738466617
+5 0 0 0 0 9 12 13 0.934420954226344
+5 0 0 0 0 9 12 14 0.709194298052467
+5 0 0 0 0 9 12 15 0.361341504917384
+5 0 0 0 0 9 12 16 -0.0489905171024318
+5 0 0 0 0 9 12 17 -0.450851633650361
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+5 0 0 0 0 9 12 19 -0.96469875892208
+5 0 0 0 0 9 12 20 -0.987835931531807
+5 0 0 0 0 9 12 21 -0.84016729737198
+5 0 0 0 0 9 12 22 -0.547226104816257
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+5 0 0 0 0 9 12 24 0.25550446086961
+5 0 0 0 0 9 12 25 0.62649442661442
+5 0 0 0 0 9 12 26 0.889157814474408
+5 0 0 0 0 9 12 27 0.998077738466616
+5 0 0 0 0 9 12 28 0.934420954226347
+5 0 0 0 0 9 12 29 0.709194298052471
+5 0 0 0 0 9 12 30 0.361341504917385
+5 0 0 0 0 9 12 31 -0.0489905171024341
+5 0 0 0 0 9 12 32 -0.450851633650363
+5 0 0 0 0 9 12 33 -0.774756406881637
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 0.0475845222018207
+6 0 0 0 0 9 12 1 -0.361742081942058
+6 0 0 0 0 9 12 2 -0.708520193794506
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+6 0 0 0 0 9 12 10 0.838988369444037
+6 0 0 0 0 9 12 11 0.985821742022085
+6 0 0 0 0 9 12 12 0.962197579495146
+6 0 0 0 0 9 12 13 0.772200714182907
+6 0 0 0 0 9 12 14 0.448683330165189
+6 0 0 0 0 9 12 15 0.0475845222018207
+6 0 0 0 0 9 12 16 -0.361742081942056
+6 0 0 0 0 9 12 17 -0.708520193794506
+6 0 0 0 0 9 12 18 -0.932788727435997
+6 0 0 0 0 9 12 19 -0.995769615984248
+6 0 0 0 0 9 12 20 -0.886572891645858
+6 0 0 0 0 9 12 21 -0.624079660080031
+6 0 0 0 0 9 12 22 -0.253677385700643
+6 0 0 0 0 9 12 23 0.160588013253085
+6 0 0 0 0 9 12 24 0.547086285819055
+6 0 0 0 0 9 12 25 0.838988369444034
+6 0 0 0 0 9 12 26 0.985821742022084
+6 0 0 0 0 9 12 27 0.962197579495148
+6 0 0 0 0 9 12 28 0.772200714182911
+6 0 0 0 0 9 12 29 0.448683330165193
+6 0 0 0 0 9 12 30 0.0475845222018207
+6 0 0 0 0 9 12 31 -0.361742081942058
+6 0 0 0 0 9 12 32 -0.708520193794506
+6 0 0 0 0 9 12 33 -0.932788727435996
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/psi.xl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/psi.xl
new file mode 100644
index 000000000..eab077218
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/psi.xl
@@ -0,0 +1,170 @@
+# SPACETIMETOY::psi x (psi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -0.644248750950058
+0 0 0 0 0 1 12 16 -0.227883987553
+0 0 0 0 0 2 12 16 0.227883987553006
+0 0 0 0 0 3 12 16 0.644248750950063
+0 0 0 0 0 4 12 16 0.949217052491693
+0 0 0 0 0 5 12 16 1.09005710229131
+0 0 0 0 0 6 12 16 1.04241637624686
+0 0 0 0 0 7 12 16 0.814532388693861
+0 0 0 0 0 8 12 16 0.445808351341244
+0 0 0 0 0 9 12 16 -1.08122938250794e-16
+0 0 0 0 0 10 12 16 -0.445808351341245
+0 0 0 0 0 11 12 16 -0.814532388693862
+0 0 0 0 0 12 12 16 -1.04241637624687
+0 0 0 0 0 13 12 16 -1.09005710229131
+0 0 0 0 0 14 12 16 -0.949217052491693
+0 0 0 0 0 15 12 16 -0.644248750950063
+0 0 0 0 0 16 12 16 -0.227883987553006
+0 0 0 0 0 17 12 16 0.227883987553
+0 0 0 0 0 18 12 16 0.644248750950058
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -0.329790017513403
+1 0 0 0 0 1 12 16 0.122913815774115
+1 0 0 0 0 2 12 16 0.554364733677329
+1 0 0 0 0 3 12 16 0.88996095288223
+1 0 0 0 0 4 12 16 1.07167483829235
+1 0 0 0 0 5 12 16 1.06808640830147
+1 0 0 0 0 6 12 16 0.879816135054861
+1 0 0 0 0 7 12 16 0.539417659178605
+1 0 0 0 0 8 12 16 0.105748969574778
+1 0 0 0 0 9 12 16 -0.346204677567756
+1 0 0 0 0 10 12 16 -0.738296390788068
+1 0 0 0 0 11 12 16 -1.00272995082898
+1 0 0 0 0 12 12 16 -1.09378239285593
+1 0 0 0 0 13 12 16 -0.995709922457008
+1 0 0 0 0 14 12 16 -0.725470160724599
+1 0 0 0 0 15 12 16 -0.329790017513403
+1 0 0 0 0 16 12 16 0.122913815774115
+1 0 0 0 0 17 12 16 0.554364733677329
+1 0 0 0 0 18 12 16 0.88996095288223
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 0.0180749396239575
+2 0 0 0 0 1 12 16 0.459964323898609
+2 0 0 0 0 2 12 16 0.822321697926489
+2 0 0 0 0 3 12 16 1.04249217982478
+2 0 0 0 0 4 12 16 1.08240629308723
+2 0 0 0 0 5 12 16 0.935162524922436
+2 0 0 0 0 6 12 16 0.62622066051372
+2 0 0 0 0 7 12 16 0.208999554866082
+2 0 0 0 0 8 12 16 -0.244359472519252
+2 0 0 0 0 9 12 16 -0.65546652716989
+2 0 0 0 0 10 12 16 -0.953237464546396
+2 0 0 0 0 11 12 16 -1.08618498441233
+2 0 0 0 0 12 12 16 -1.03132125279257
+2 0 0 0 0 13 12 16 -0.798132707305529
+2 0 0 0 0 14 12 16 -0.426939765917346
+2 0 0 0 0 15 12 16 0.0180749396239575
+2 0 0 0 0 16 12 16 0.459964323898609
+2 0 0 0 0 17 12 16 0.822321697926489
+2 0 0 0 0 18 12 16 1.04249217982478
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 0.363097401908726
+3 0 0 0 0 1 12 16 0.748273492193749
+3 0 0 0 0 2 12 16 1.0040662978272
+3 0 0 0 0 3 12 16 1.08624691891037
+3 0 0 0 0 4 12 16 0.980605579470487
+3 0 0 0 0 5 12 16 0.705408626818133
+3 0 0 0 0 6 12 16 0.308240114152734
+3 0 0 0 0 7 12 16 -0.142225914523199
+3 0 0 0 0 8 12 16 -0.568099790496202
+3 0 0 0 0 9 12 16 -0.895744051667837
+3 0 0 0 0 10 12 16 -1.06850602872686
+3 0 0 0 0 11 12 16 -1.05651360634648
+3 0 0 0 0 12 12 16 -0.861840383304001
+3 0 0 0 0 13 12 16 -0.518147128414175
+3 0 0 0 0 14 12 16 -0.084861527802653
+3 0 0 0 0 15 12 16 0.363097401908726
+3 0 0 0 0 16 12 16 0.748273492193749
+3 0 0 0 0 17 12 16 1.0040662978272
+3 0 0 0 0 18 12 16 1.08624691891037
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 0.66942452691438
+4 0 0 0 0 1 12 16 0.958010279833779
+4 0 0 0 0 2 12 16 1.08094735211975
+4 0 0 0 0 3 12 16 1.01697880712581
+4 0 0 0 0 4 12 16 0.777165387417398
+4 0 0 0 0 5 12 16 0.402973011898625
+4 0 0 0 0 6 12 16 -0.040897058272306
+4 0 0 0 0 7 12 16 -0.477695655529845
+4 0 0 0 0 8 12 16 -0.831896334217483
+4 0 0 0 0 9 12 16 -1.04225457917798
+4 0 0 0 0 10 12 16 -1.07239753881301
+4 0 0 0 0 11 12 16 -0.917113221561473
+4 0 0 0 0 12 12 16 -0.603251696589906
+4 0 0 0 0 13 12 16 -0.18508247290833
+4 0 0 0 0 14 12 16 0.265089191760578
+4 0 0 0 0 15 12 16 0.66942452691438
+4 0 0 0 0 16 12 16 0.958010279833779
+4 0 0 0 0 17 12 16 1.08094735211975
+4 0 0 0 0 18 12 16 1.01697880712581
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 0.905324700679431
+5 0 0 0 0 1 12 16 1.06759290373269
+5 0 0 0 0 2 12 16 1.04526459495352
+5 0 0 0 0 3 12 16 0.842200541776148
+5 0 0 0 0 4 12 16 0.493512363773959
+5 0 0 0 0 5 12 16 0.0594914146561768
+5 0 0 0 0 6 12 16 -0.384816140518194
+5 0 0 0 0 7 12 16 -0.762585489052082
+5 0 0 0 0 8 12 16 -1.00849687865719
+5 0 0 0 0 9 12 16 -1.08002999603595
+5 0 0 0 0 10 12 16 -0.964816115335608
+5 0 0 0 0 11 12 16 -0.682776763214499
+5 0 0 0 0 12 12 16 -0.28267910590144
+5 0 0 0 0 13 12 16 0.166296336881036
+5 0 0 0 0 14 12 16 0.586517632261988
+5 0 0 0 0 15 12 16 0.905324700679431
+5 0 0 0 0 16 12 16 1.06759290373269
+5 0 0 0 0 17 12 16 1.04526459495352
+5 0 0 0 0 18 12 16 0.842200541776148
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 1.04647421862849
+6 0 0 0 0 1 12 16 1.06590913542694
+6 0 0 0 0 2 12 16 0.901038679229577
+6 0 0 0 0 3 12 16 0.580370449713996
+6 0 0 0 0 4 12 16 0.159350896942855
+6 0 0 0 0 5 12 16 -0.289221873567159
+6 0 0 0 0 6 12 16 -0.687785554639175
+6 0 0 0 0 7 12 16 -0.967424864978473
+6 0 0 0 0 8 12 16 -1.07978762738401
+6 0 0 0 0 9 12 16 -1.00544529945221
+6 0 0 0 0 10 12 16 -0.757252345061332
+6 0 0 0 0 11 12 16 -0.378123580787767
+6 0 0 0 0 12 12 16 0.0663861857488928
+6 0 0 0 0 13 12 16 0.499417177670006
+6 0 0 0 0 14 12 16 0.846094402509351
+6 0 0 0 0 15 12 16 1.04647421862849
+6 0 0 0 0 16 12 16 1.06590913542694
+6 0 0 0 0 17 12 16 0.901038679229577
+6 0 0 0 0 18 12 16 0.580370449713996
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/psi.yl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/psi.yl
new file mode 100644
index 000000000..6f0bf690a
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/psi.yl
@@ -0,0 +1,219 @@
+# SPACETIMETOY::psi y (psi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -0.308796192383456
+0 0 0 0 0 9 1 16 -1.057425492901e-14
+0 0 0 0 0 9 2 16 0.308796192383436
+0 0 0 0 0 9 3 16 0.592575553741645
+0 0 0 0 0 9 4 16 0.82834796791822
+0 0 0 0 0 9 5 16 0.997012556109113
+0 0 0 0 0 9 6 16 1.08490511646603
+0 0 0 0 0 9 7 16 1.08490511646603
+0 0 0 0 0 9 8 16 0.997012556109118
+0 0 0 0 0 9 9 16 0.828347967918227
+0 0 0 0 0 9 10 16 0.592575553741653
+0 0 0 0 0 9 11 16 0.308796192383446
+0 0 0 0 0 9 12 16 -1.08122938250794e-16
+0 0 0 0 0 9 13 16 -0.308796192383446
+0 0 0 0 0 9 14 16 -0.592575553741654
+0 0 0 0 0 9 15 16 -0.828347967918227
+0 0 0 0 0 9 16 16 -0.997012556109118
+0 0 0 0 0 9 17 16 -1.08490511646603
+0 0 0 0 0 9 18 16 -1.08490511646603
+0 0 0 0 0 9 19 16 -0.997012556109113
+0 0 0 0 0 9 20 16 -0.82834796791822
+0 0 0 0 0 9 21 16 -0.592575553741644
+0 0 0 0 0 9 22 16 -0.308796192383435
+0 0 0 0 0 9 23 16 1.10610039885355e-14
+0 0 0 0 0 9 24 16 0.308796192383456
+0 0 0 0 0 9 25 16 0.592575553741662
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 0.0398602838005638
+1 0 0 0 0 9 1 16 0.346204677567762
+1 0 0 0 0 9 2 16 0.624501627316911
+1 0 0 0 0 9 3 16 0.852205169275038
+1 0 0 0 0 9 4 16 1.0108681166778
+1 0 0 0 0 9 5 16 1.08763654113149
+1 0 0 0 0 9 6 16 1.07629112144629
+1 0 0 0 0 9 7 16 0.977750996051271
+1 0 0 0 0 9 8 16 0.799999299865251
+1 0 0 0 0 9 9 16 0.55743641818318
+1 0 0 0 0 9 10 16 0.269713353101936
+1 0 0 0 0 9 11 16 -0.0398602838005531
+1 0 0 0 0 9 12 16 -0.346204677567756
+1 0 0 0 0 9 13 16 -0.624501627316916
+1 0 0 0 0 9 14 16 -0.852205169275045
+1 0 0 0 0 9 15 16 -1.0108681166778
+1 0 0 0 0 9 16 16 -1.0876365411315
+1 0 0 0 0 9 17 16 -1.07629112144629
+1 0 0 0 0 9 18 16 -0.977750996051266
+1 0 0 0 0 9 19 16 -0.799999299865244
+1 0 0 0 0 9 20 16 -0.55743641818317
+1 0 0 0 0 9 21 16 -0.269713353101925
+1 0 0 0 0 9 22 16 0.0398602838005638
+1 0 0 0 0 9 23 16 0.346204677567762
+1 0 0 0 0 9 24 16 0.624501627316911
+1 0 0 0 0 9 25 16 0.852205169275038
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 0.383407761260651
+2 0 0 0 0 9 1 16 0.655466527169888
+2 0 0 0 0 9 2 16 0.874423293257369
+2 0 0 0 0 9 3 16 1.0225394845207
+2 0 0 0 0 9 4 16 1.08781560802463
+2 0 0 0 0 9 5 16 1.06496338045493
+2 0 0 0 0 9 6 16 0.955834153381875
+2 0 0 0 0 9 7 16 0.769268927766406
+2 0 0 0 0 9 8 16 0.520382108641774
+2 0 0 0 0 9 9 16 0.229337025906551
+2 0 0 0 0 9 10 16 -0.0802875787478111
+2 0 0 0 0 9 11 16 -0.383407761260642
+2 0 0 0 0 9 12 16 -0.65546652716989
+2 0 0 0 0 9 13 16 -0.874423293257369
+2 0 0 0 0 9 14 16 -1.0225394845207
+2 0 0 0 0 9 15 16 -1.08781560802463
+2 0 0 0 0 9 16 16 -1.06496338045493
+2 0 0 0 0 9 17 16 -0.95583415338187
+2 0 0 0 0 9 18 16 -0.769268927766398
+2 0 0 0 0 9 19 16 -0.520382108641765
+2 0 0 0 0 9 20 16 -0.22933702590654
+2 0 0 0 0 9 21 16 0.0802875787478222
+2 0 0 0 0 9 22 16 0.383407761260651
+2 0 0 0 0 9 23 16 0.655466527169888
+2 0 0 0 0 9 24 16 0.874423293257369
+2 0 0 0 0 9 25 16 1.0225394845207
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 0.686152983404309
+3 0 0 0 0 9 1 16 0.895744051667829
+3 0 0 0 0 9 2 16 1.03276726406024
+3 0 0 0 0 9 3 16 1.08612181482189
+3 0 0 0 0 9 4 16 1.05148523556183
+3 0 0 0 0 9 5 16 0.931663575940026
+3 0 0 0 0 9 6 16 0.736364074212195
+3 0 0 0 0 9 7 16 0.481408734517464
+3 0 0 0 0 9 8 16 0.187452522200112
+3 0 0 0 0 9 9 16 -0.121689978642817
+3 0 0 0 0 9 10 16 -0.420973881134275
+3 0 0 0 0 9 11 16 -0.686152983404305
+3 0 0 0 0 9 12 16 -0.895744051667837
+3 0 0 0 0 9 13 16 -1.03276726406024
+3 0 0 0 0 9 14 16 -1.08612181482189
+3 0 0 0 0 9 15 16 -1.05148523556183
+3 0 0 0 0 9 16 16 -0.93166357594002
+3 0 0 0 0 9 17 16 -0.736364074212187
+3 0 0 0 0 9 18 16 -0.481408734517454
+3 0 0 0 0 9 19 16 -0.187452522200102
+3 0 0 0 0 9 20 16 0.121689978642827
+3 0 0 0 0 9 21 16 0.420973881134284
+3 0 0 0 0 9 22 16 0.686152983404309
+3 0 0 0 0 9 23 16 0.895744051667829
+3 0 0 0 0 9 24 16 1.03276726406024
+3 0 0 0 0 9 25 16 1.08612181482189
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 0.916742467401327
+4 0 0 0 0 9 1 16 1.04225457917797
+4 0 0 0 0 9 2 16 1.08332942347629
+4 0 0 0 0 9 3 16 1.0366393606927
+4 0 0 0 0 9 4 16 0.90596694203745
+4 0 0 0 0 9 5 16 0.701898469731194
+4 0 0 0 0 9 6 16 0.440966357758248
+4 0 0 0 0 9 7 16 0.144309774007638
+4 0 0 0 0 9 8 16 -0.164037929389799
+4 0 0 0 0 9 9 16 -0.459096255319205
+4 0 0 0 0 9 10 16 -0.716961332993209
+4 0 0 0 0 9 11 16 -0.916742467401331
+4 0 0 0 0 9 12 16 -1.04225457917798
+4 0 0 0 0 9 13 16 -1.08332942347628
+4 0 0 0 0 9 14 16 -1.03663936069269
+4 0 0 0 0 9 15 16 -0.905966942037443
+4 0 0 0 0 9 16 16 -0.701898469731186
+4 0 0 0 0 9 17 16 -0.440966357758239
+4 0 0 0 0 9 18 16 -0.144309774007627
+4 0 0 0 0 9 19 16 0.164037929389809
+4 0 0 0 0 9 20 16 0.459096255319214
+4 0 0 0 0 9 21 16 0.716961332993215
+4 0 0 0 0 9 22 16 0.916742467401327
+4 0 0 0 0 9 23 16 1.04225457917797
+4 0 0 0 0 9 24 16 1.08332942347629
+4 0 0 0 0 9 25 16 1.0366393606927
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 1.05140927763351
+5 0 0 0 0 9 1 16 1.08002999603595
+5 0 0 0 0 9 2 16 1.02115310734526
+5 0 0 0 0 9 3 16 0.879548466928836
+5 0 0 0 0 9 4 16 0.666688040597971
+5 0 0 0 0 9 5 16 0.399816514164305
+5 0 0 0 0 9 6 16 0.100554231553414
+5 0 0 0 0 9 7 16 -0.206854356878893
+5 0 0 0 0 9 8 16 -0.497504835527101
+5 0 0 0 0 9 9 16 -0.747850431176085
+5 0 0 0 0 9 10 16 -0.937609632528952
+5 0 0 0 0 9 11 16 -1.05140927763351
+5 0 0 0 0 9 12 16 -1.08002999603595
+5 0 0 0 0 9 13 16 -1.02115310734526
+5 0 0 0 0 9 14 16 -0.879548466928824
+5 0 0 0 0 9 15 16 -0.66668804059796
+5 0 0 0 0 9 16 16 -0.399816514164295
+5 0 0 0 0 9 17 16 -0.100554231553403
+5 0 0 0 0 9 18 16 0.206854356878903
+5 0 0 0 0 9 19 16 0.49750483552711
+5 0 0 0 0 9 20 16 0.747850431176093
+5 0 0 0 0 9 21 16 0.937609632528952
+5 0 0 0 0 9 22 16 1.05140927763351
+5 0 0 0 0 9 23 16 1.08002999603595
+5 0 0 0 0 9 24 16 1.02115310734526
+5 0 0 0 0 9 25 16 0.879548466928836
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 1.07642227770668
+6 0 0 0 0 9 1 16 1.00544529945221
+6 0 0 0 0 9 2 16 0.853013122649554
+6 0 0 0 0 9 3 16 0.631474895714214
+6 0 0 0 0 9 4 16 0.358778328253911
+6 0 0 0 0 9 5 16 0.0570156743753503
+6 0 0 0 0 9 6 16 -0.249366050355828
+6 0 0 0 0 9 7 16 -0.535545620724181
+6 0 0 0 0 9 8 16 -0.778338469913904
+6 0 0 0 0 9 9 16 -0.958074965228318
+6 0 0 0 0 9 10 16 -1.06019392475115
+6 0 0 0 0 9 11 16 -1.07642227770668
+6 0 0 0 0 9 12 16 -1.00544529945221
+6 0 0 0 0 9 13 16 -0.85301312264955
+6 0 0 0 0 9 14 16 -0.631474895714202
+6 0 0 0 0 9 15 16 -0.358778328253897
+6 0 0 0 0 9 16 16 -0.0570156743753382
+6 0 0 0 0 9 17 16 0.249366050355838
+6 0 0 0 0 9 18 16 0.53554562072419
+6 0 0 0 0 9 19 16 0.778338469913911
+6 0 0 0 0 9 20 16 0.958074965228321
+6 0 0 0 0 9 21 16 1.06019392475114
+6 0 0 0 0 9 22 16 1.07642227770668
+6 0 0 0 0 9 23 16 1.00544529945221
+6 0 0 0 0 9 24 16 0.853013122649554
+6 0 0 0 0 9 25 16 0.631474895714214
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/psi.zl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/psi.zl
new file mode 100644
index 000000000..e2070c2bf
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/psi.zl
@@ -0,0 +1,275 @@
+# SPACETIMETOY::psi z (psi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 0.445808351341237
+0 0 0 0 0 9 12 1 -7.08293559445718e-15
+0 0 0 0 0 9 12 2 -0.445808351341251
+0 0 0 0 0 9 12 3 -0.814532388693866
+0 0 0 0 0 9 12 4 -1.04241637624687
+0 0 0 0 0 9 12 5 -1.09005710229131
+0 0 0 0 0 9 12 6 -0.94921705249169
+0 0 0 0 0 9 12 7 -0.644248750950057
+0 0 0 0 0 9 12 8 -0.227883987552999
+0 0 0 0 0 9 12 9 0.227883987553006
+0 0 0 0 0 9 12 10 0.644248750950064
+0 0 0 0 0 9 12 11 0.949217052491694
+0 0 0 0 0 9 12 12 1.09005710229131
+0 0 0 0 0 9 12 13 1.04241637624686
+0 0 0 0 0 9 12 14 0.814532388693861
+0 0 0 0 0 9 12 15 0.445808351341244
+0 0 0 0 0 9 12 16 -1.08122938250794e-16
+0 0 0 0 0 9 12 17 -0.445808351341245
+0 0 0 0 0 9 12 18 -0.814532388693861
+0 0 0 0 0 9 12 19 -1.04241637624686
+0 0 0 0 0 9 12 20 -1.09005710229131
+0 0 0 0 0 9 12 21 -0.949217052491693
+0 0 0 0 0 9 12 22 -0.644248750950064
+0 0 0 0 0 9 12 23 -0.227883987553006
+0 0 0 0 0 9 12 24 0.227883987553
+0 0 0 0 0 9 12 25 0.644248750950058
+0 0 0 0 0 9 12 26 0.94921705249169
+0 0 0 0 0 9 12 27 1.09005710229131
+0 0 0 0 0 9 12 28 1.04241637624687
+0 0 0 0 0 9 12 29 0.814532388693866
+0 0 0 0 0 9 12 30 0.445808351341251
+0 0 0 0 0 9 12 31 7.08293559445718e-15
+0 0 0 0 0 9 12 32 -0.445808351341238
+0 0 0 0 0 9 12 33 -0.814532388693856
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 0.105748969574785
+1 0 0 0 0 9 12 1 -0.346204677567753
+1 0 0 0 0 9 12 2 -0.738296390788072
+1 0 0 0 0 9 12 3 -1.00272995082898
+1 0 0 0 0 9 12 4 -1.09378239285593
+1 0 0 0 0 9 12 5 -0.995709922457005
+1 0 0 0 0 9 12 6 -0.725470160724593
+1 0 0 0 0 9 12 7 -0.329790017513396
+1 0 0 0 0 9 12 8 0.122913815774121
+1 0 0 0 0 9 12 9 0.55436473367733
+1 0 0 0 0 9 12 10 0.889960952882229
+1 0 0 0 0 9 12 11 1.07167483829235
+1 0 0 0 0 9 12 12 1.06808640830147
+1 0 0 0 0 9 12 13 0.87981613505486
+1 0 0 0 0 9 12 14 0.539417659178605
+1 0 0 0 0 9 12 15 0.105748969574778
+1 0 0 0 0 9 12 16 -0.346204677567756
+1 0 0 0 0 9 12 17 -0.738296390788068
+1 0 0 0 0 9 12 18 -1.00272995082898
+1 0 0 0 0 9 12 19 -1.09378239285593
+1 0 0 0 0 9 12 20 -0.995709922457008
+1 0 0 0 0 9 12 21 -0.725470160724599
+1 0 0 0 0 9 12 22 -0.329790017513403
+1 0 0 0 0 9 12 23 0.122913815774113
+1 0 0 0 0 9 12 24 0.554364733677323
+1 0 0 0 0 9 12 25 0.889960952882225
+1 0 0 0 0 9 12 26 1.07167483829235
+1 0 0 0 0 9 12 27 1.06808640830147
+1 0 0 0 0 9 12 28 0.879816135054864
+1 0 0 0 0 9 12 29 0.539417659178611
+1 0 0 0 0 9 12 30 0.105748969574785
+1 0 0 0 0 9 12 31 -0.346204677567753
+1 0 0 0 0 9 12 32 -0.738296390788072
+1 0 0 0 0 9 12 33 -1.00272995082898
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 -0.244359472519246
+2 0 0 0 0 9 12 1 -0.655466527169893
+2 0 0 0 0 9 12 2 -0.953237464546396
+2 0 0 0 0 9 12 3 -1.08618498441233
+2 0 0 0 0 9 12 4 -1.03132125279257
+2 0 0 0 0 9 12 5 -0.798132707305525
+2 0 0 0 0 9 12 6 -0.426939765917338
+2 0 0 0 0 9 12 7 0.0180749396239643
+2 0 0 0 0 9 12 8 0.459964323898612
+2 0 0 0 0 9 12 9 0.82232169792649
+2 0 0 0 0 9 12 10 1.04249217982478
+2 0 0 0 0 9 12 11 1.08240629308723
+2 0 0 0 0 9 12 12 0.935162524922435
+2 0 0 0 0 9 12 13 0.62622066051372
+2 0 0 0 0 9 12 14 0.208999554866082
+2 0 0 0 0 9 12 15 -0.244359472519252
+2 0 0 0 0 9 12 16 -0.65546652716989
+2 0 0 0 0 9 12 17 -0.953237464546396
+2 0 0 0 0 9 12 18 -1.08618498441233
+2 0 0 0 0 9 12 19 -1.03132125279257
+2 0 0 0 0 9 12 20 -0.79813270730553
+2 0 0 0 0 9 12 21 -0.426939765917345
+2 0 0 0 0 9 12 22 0.0180749396239566
+2 0 0 0 0 9 12 23 0.459964323898605
+2 0 0 0 0 9 12 24 0.822321697926485
+2 0 0 0 0 9 12 25 1.04249217982478
+2 0 0 0 0 9 12 26 1.08240629308723
+2 0 0 0 0 9 12 27 0.93516252492244
+2 0 0 0 0 9 12 28 0.626220660513727
+2 0 0 0 0 9 12 29 0.208999554866088
+2 0 0 0 0 9 12 30 -0.244359472519246
+2 0 0 0 0 9 12 31 -0.655466527169893
+2 0 0 0 0 9 12 32 -0.953237464546396
+2 0 0 0 0 9 12 33 -1.08618498441233
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 -0.5680997904962
+3 0 0 0 0 9 12 1 -0.895744051667842
+3 0 0 0 0 9 12 2 -1.06850602872686
+3 0 0 0 0 9 12 3 -1.05651360634648
+3 0 0 0 0 9 12 4 -0.861840383303996
+3 0 0 0 0 9 12 5 -0.518147128414169
+3 0 0 0 0 9 12 6 -0.0848615278026467
+3 0 0 0 0 9 12 7 0.363097401908732
+3 0 0 0 0 9 12 8 0.748273492193749
+3 0 0 0 0 9 12 9 1.0040662978272
+3 0 0 0 0 9 12 10 1.08624691891037
+3 0 0 0 0 9 12 11 0.980605579470487
+3 0 0 0 0 9 12 12 0.705408626818133
+3 0 0 0 0 9 12 13 0.308240114152734
+3 0 0 0 0 9 12 14 -0.142225914523199
+3 0 0 0 0 9 12 15 -0.568099790496202
+3 0 0 0 0 9 12 16 -0.895744051667837
+3 0 0 0 0 9 12 17 -1.06850602872686
+3 0 0 0 0 9 12 18 -1.05651360634648
+3 0 0 0 0 9 12 19 -0.861840383304001
+3 0 0 0 0 9 12 20 -0.518147128414176
+3 0 0 0 0 9 12 21 -0.0848615278026532
+3 0 0 0 0 9 12 22 0.363097401908724
+3 0 0 0 0 9 12 23 0.748273492193744
+3 0 0 0 0 9 12 24 1.0040662978272
+3 0 0 0 0 9 12 25 1.08624691891038
+3 0 0 0 0 9 12 26 0.98060557947049
+3 0 0 0 0 9 12 27 0.70540862681814
+3 0 0 0 0 9 12 28 0.308240114152741
+3 0 0 0 0 9 12 29 -0.142225914523193
+3 0 0 0 0 9 12 30 -0.5680997904962
+3 0 0 0 0 9 12 31 -0.895744051667842
+3 0 0 0 0 9 12 32 -1.06850602872686
+3 0 0 0 0 9 12 33 -1.05651360634648
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 -0.831896334217484
+4 0 0 0 0 9 12 1 -1.04225457917798
+4 0 0 0 0 9 12 2 -1.072397538813
+4 0 0 0 0 9 12 3 -0.917113221561465
+4 0 0 0 0 9 12 4 -0.603251696589899
+4 0 0 0 0 9 12 5 -0.185082472908322
+4 0 0 0 0 9 12 6 0.265089191760584
+4 0 0 0 0 9 12 7 0.669424526914382
+4 0 0 0 0 9 12 8 0.958010279833779
+4 0 0 0 0 9 12 9 1.08094735211975
+4 0 0 0 0 9 12 10 1.01697880712581
+4 0 0 0 0 9 12 11 0.777165387417399
+4 0 0 0 0 9 12 12 0.402973011898624
+4 0 0 0 0 9 12 13 -0.0408970582723063
+4 0 0 0 0 9 12 14 -0.477695655529845
+4 0 0 0 0 9 12 15 -0.831896334217483
+4 0 0 0 0 9 12 16 -1.04225457917798
+4 0 0 0 0 9 12 17 -1.07239753881301
+4 0 0 0 0 9 12 18 -0.917113221561473
+4 0 0 0 0 9 12 19 -0.603251696589906
+4 0 0 0 0 9 12 20 -0.18508247290833
+4 0 0 0 0 9 12 21 0.265089191760577
+4 0 0 0 0 9 12 22 0.669424526914377
+4 0 0 0 0 9 12 23 0.958010279833775
+4 0 0 0 0 9 12 24 1.08094735211975
+4 0 0 0 0 9 12 25 1.01697880712581
+4 0 0 0 0 9 12 26 0.777165387417404
+4 0 0 0 0 9 12 27 0.402973011898631
+4 0 0 0 0 9 12 28 -0.0408970582722987
+4 0 0 0 0 9 12 29 -0.47769565552984
+4 0 0 0 0 9 12 30 -0.831896334217484
+4 0 0 0 0 9 12 31 -1.04225457917798
+4 0 0 0 0 9 12 32 -1.072397538813
+4 0 0 0 0 9 12 33 -0.917113221561465
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 -1.00849687865719
+5 0 0 0 0 9 12 1 -1.08002999603595
+5 0 0 0 0 9 12 2 -0.964816115335604
+5 0 0 0 0 9 12 3 -0.682776763214489
+5 0 0 0 0 9 12 4 -0.28267910590143
+5 0 0 0 0 9 12 5 0.166296336881043
+5 0 0 0 0 9 12 6 0.586517632261993
+5 0 0 0 0 9 12 7 0.905324700679431
+5 0 0 0 0 9 12 8 1.06759290373269
+5 0 0 0 0 9 12 9 1.04526459495352
+5 0 0 0 0 9 12 10 0.842200541776149
+5 0 0 0 0 9 12 11 0.493512363773958
+5 0 0 0 0 9 12 12 0.0594914146561768
+5 0 0 0 0 9 12 13 -0.384816140518194
+5 0 0 0 0 9 12 14 -0.762585489052083
+5 0 0 0 0 9 12 15 -1.00849687865719
+5 0 0 0 0 9 12 16 -1.08002999603595
+5 0 0 0 0 9 12 17 -0.964816115335608
+5 0 0 0 0 9 12 18 -0.6827767632145
+5 0 0 0 0 9 12 19 -0.28267910590144
+5 0 0 0 0 9 12 20 0.166296336881036
+5 0 0 0 0 9 12 21 0.586517632261986
+5 0 0 0 0 9 12 22 0.905324700679428
+5 0 0 0 0 9 12 23 1.06759290373269
+5 0 0 0 0 9 12 24 1.04526459495352
+5 0 0 0 0 9 12 25 0.842200541776153
+5 0 0 0 0 9 12 26 0.493512363773966
+5 0 0 0 0 9 12 27 0.059491414656183
+5 0 0 0 0 9 12 28 -0.384816140518188
+5 0 0 0 0 9 12 29 -0.76258548905208
+5 0 0 0 0 9 12 30 -1.00849687865719
+5 0 0 0 0 9 12 31 -1.08002999603595
+5 0 0 0 0 9 12 32 -0.964816115335604
+5 0 0 0 0 9 12 33 -0.682776763214489
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 -1.07978762738401
+6 0 0 0 0 9 12 1 -1.00544529945221
+6 0 0 0 0 9 12 2 -0.757252345061329
+6 0 0 0 0 9 12 3 -0.378123580787757
+6 0 0 0 0 9 12 4 0.0663861857489023
+6 0 0 0 0 9 12 5 0.499417177670012
+6 0 0 0 0 9 12 6 0.846094402509354
+6 0 0 0 0 9 12 7 1.04647421862849
+6 0 0 0 0 9 12 8 1.06590913542694
+6 0 0 0 0 9 12 9 0.901038679229577
+6 0 0 0 0 9 12 10 0.580370449713997
+6 0 0 0 0 9 12 11 0.159350896942855
+6 0 0 0 0 9 12 12 -0.289221873567159
+6 0 0 0 0 9 12 13 -0.687785554639175
+6 0 0 0 0 9 12 14 -0.967424864978473
+6 0 0 0 0 9 12 15 -1.07978762738401
+6 0 0 0 0 9 12 16 -1.00544529945221
+6 0 0 0 0 9 12 17 -0.757252345061332
+6 0 0 0 0 9 12 18 -0.378123580787767
+6 0 0 0 0 9 12 19 0.066386185748892
+6 0 0 0 0 9 12 20 0.499417177670005
+6 0 0 0 0 9 12 21 0.846094402509349
+6 0 0 0 0 9 12 22 1.04647421862849
+6 0 0 0 0 9 12 23 1.06590913542694
+6 0 0 0 0 9 12 24 0.901038679229581
+6 0 0 0 0 9 12 25 0.580370449714004
+6 0 0 0 0 9 12 26 0.159350896942863
+6 0 0 0 0 9 12 27 -0.289221873567151
+6 0 0 0 0 9 12 28 -0.687785554639172
+6 0 0 0 0 9 12 29 -0.967424864978475
+6 0 0 0 0 9 12 30 -1.07978762738401
+6 0 0 0 0 9 12 31 -1.00544529945221
+6 0 0 0 0 9 12 32 -0.757252345061329
+6 0 0 0 0 9 12 33 -0.378123580787757
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/spher3d_r.xl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/spher3d_r.xl
new file mode 100644
index 000000000..5c26840e3
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/spher3d_r.xl
@@ -0,0 +1,170 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 5.4
+0 0 0 0 0 1 12 16 4.8
+0 0 0 0 0 2 12 16 4.2
+0 0 0 0 0 3 12 16 3.6
+0 0 0 0 0 4 12 16 3
+0 0 0 0 0 5 12 16 2.4
+0 0 0 0 0 6 12 16 1.8
+0 0 0 0 0 7 12 16 1.2
+0 0 0 0 0 8 12 16 0.6
+0 0 0 0 0 9 12 16 6.2803698347351e-16
+0 0 0 0 0 10 12 16 0.600000000000001
+0 0 0 0 0 11 12 16 1.2
+0 0 0 0 0 12 12 16 1.8
+0 0 0 0 0 13 12 16 2.4
+0 0 0 0 0 14 12 16 3
+0 0 0 0 0 15 12 16 3.6
+0 0 0 0 0 16 12 16 4.2
+0 0 0 0 0 17 12 16 4.8
+0 0 0 0 0 18 12 16 5.4
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 5.4
+1 0 0 0 0 1 12 16 4.8
+1 0 0 0 0 2 12 16 4.2
+1 0 0 0 0 3 12 16 3.6
+1 0 0 0 0 4 12 16 3
+1 0 0 0 0 5 12 16 2.4
+1 0 0 0 0 6 12 16 1.8
+1 0 0 0 0 7 12 16 1.2
+1 0 0 0 0 8 12 16 0.6
+1 0 0 0 0 9 12 16 6.2803698347351e-16
+1 0 0 0 0 10 12 16 0.600000000000001
+1 0 0 0 0 11 12 16 1.2
+1 0 0 0 0 12 12 16 1.8
+1 0 0 0 0 13 12 16 2.4
+1 0 0 0 0 14 12 16 3
+1 0 0 0 0 15 12 16 3.6
+1 0 0 0 0 16 12 16 4.2
+1 0 0 0 0 17 12 16 4.8
+1 0 0 0 0 18 12 16 5.4
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 5.4
+2 0 0 0 0 1 12 16 4.8
+2 0 0 0 0 2 12 16 4.2
+2 0 0 0 0 3 12 16 3.6
+2 0 0 0 0 4 12 16 3
+2 0 0 0 0 5 12 16 2.4
+2 0 0 0 0 6 12 16 1.8
+2 0 0 0 0 7 12 16 1.2
+2 0 0 0 0 8 12 16 0.6
+2 0 0 0 0 9 12 16 6.2803698347351e-16
+2 0 0 0 0 10 12 16 0.600000000000001
+2 0 0 0 0 11 12 16 1.2
+2 0 0 0 0 12 12 16 1.8
+2 0 0 0 0 13 12 16 2.4
+2 0 0 0 0 14 12 16 3
+2 0 0 0 0 15 12 16 3.6
+2 0 0 0 0 16 12 16 4.2
+2 0 0 0 0 17 12 16 4.8
+2 0 0 0 0 18 12 16 5.4
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 5.4
+3 0 0 0 0 1 12 16 4.8
+3 0 0 0 0 2 12 16 4.2
+3 0 0 0 0 3 12 16 3.6
+3 0 0 0 0 4 12 16 3
+3 0 0 0 0 5 12 16 2.4
+3 0 0 0 0 6 12 16 1.8
+3 0 0 0 0 7 12 16 1.2
+3 0 0 0 0 8 12 16 0.6
+3 0 0 0 0 9 12 16 6.2803698347351e-16
+3 0 0 0 0 10 12 16 0.600000000000001
+3 0 0 0 0 11 12 16 1.2
+3 0 0 0 0 12 12 16 1.8
+3 0 0 0 0 13 12 16 2.4
+3 0 0 0 0 14 12 16 3
+3 0 0 0 0 15 12 16 3.6
+3 0 0 0 0 16 12 16 4.2
+3 0 0 0 0 17 12 16 4.8
+3 0 0 0 0 18 12 16 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 5.4
+4 0 0 0 0 1 12 16 4.8
+4 0 0 0 0 2 12 16 4.2
+4 0 0 0 0 3 12 16 3.6
+4 0 0 0 0 4 12 16 3
+4 0 0 0 0 5 12 16 2.4
+4 0 0 0 0 6 12 16 1.8
+4 0 0 0 0 7 12 16 1.2
+4 0 0 0 0 8 12 16 0.6
+4 0 0 0 0 9 12 16 6.2803698347351e-16
+4 0 0 0 0 10 12 16 0.600000000000001
+4 0 0 0 0 11 12 16 1.2
+4 0 0 0 0 12 12 16 1.8
+4 0 0 0 0 13 12 16 2.4
+4 0 0 0 0 14 12 16 3
+4 0 0 0 0 15 12 16 3.6
+4 0 0 0 0 16 12 16 4.2
+4 0 0 0 0 17 12 16 4.8
+4 0 0 0 0 18 12 16 5.4
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 5.4
+5 0 0 0 0 1 12 16 4.8
+5 0 0 0 0 2 12 16 4.2
+5 0 0 0 0 3 12 16 3.6
+5 0 0 0 0 4 12 16 3
+5 0 0 0 0 5 12 16 2.4
+5 0 0 0 0 6 12 16 1.8
+5 0 0 0 0 7 12 16 1.2
+5 0 0 0 0 8 12 16 0.6
+5 0 0 0 0 9 12 16 6.2803698347351e-16
+5 0 0 0 0 10 12 16 0.600000000000001
+5 0 0 0 0 11 12 16 1.2
+5 0 0 0 0 12 12 16 1.8
+5 0 0 0 0 13 12 16 2.4
+5 0 0 0 0 14 12 16 3
+5 0 0 0 0 15 12 16 3.6
+5 0 0 0 0 16 12 16 4.2
+5 0 0 0 0 17 12 16 4.8
+5 0 0 0 0 18 12 16 5.4
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 5.4
+6 0 0 0 0 1 12 16 4.8
+6 0 0 0 0 2 12 16 4.2
+6 0 0 0 0 3 12 16 3.6
+6 0 0 0 0 4 12 16 3
+6 0 0 0 0 5 12 16 2.4
+6 0 0 0 0 6 12 16 1.8
+6 0 0 0 0 7 12 16 1.2
+6 0 0 0 0 8 12 16 0.6
+6 0 0 0 0 9 12 16 6.2803698347351e-16
+6 0 0 0 0 10 12 16 0.600000000000001
+6 0 0 0 0 11 12 16 1.2
+6 0 0 0 0 12 12 16 1.8
+6 0 0 0 0 13 12 16 2.4
+6 0 0 0 0 14 12 16 3
+6 0 0 0 0 15 12 16 3.6
+6 0 0 0 0 16 12 16 4.2
+6 0 0 0 0 17 12 16 4.8
+6 0 0 0 0 18 12 16 5.4
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/spher3d_r.yl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/spher3d_r.yl
new file mode 100644
index 000000000..3dccc92e2
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/spher3d_r.yl
@@ -0,0 +1,219 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 7.2
+0 0 0 0 0 9 1 16 6.6
+0 0 0 0 0 9 2 16 6
+0 0 0 0 0 9 3 16 5.4
+0 0 0 0 0 9 4 16 4.8
+0 0 0 0 0 9 5 16 4.2
+0 0 0 0 0 9 6 16 3.6
+0 0 0 0 0 9 7 16 3
+0 0 0 0 0 9 8 16 2.4
+0 0 0 0 0 9 9 16 1.8
+0 0 0 0 0 9 10 16 1.2
+0 0 0 0 0 9 11 16 0.6
+0 0 0 0 0 9 12 16 6.2803698347351e-16
+0 0 0 0 0 9 13 16 0.6
+0 0 0 0 0 9 14 16 1.2
+0 0 0 0 0 9 15 16 1.8
+0 0 0 0 0 9 16 16 2.4
+0 0 0 0 0 9 17 16 3
+0 0 0 0 0 9 18 16 3.6
+0 0 0 0 0 9 19 16 4.2
+0 0 0 0 0 9 20 16 4.8
+0 0 0 0 0 9 21 16 5.4
+0 0 0 0 0 9 22 16 6
+0 0 0 0 0 9 23 16 6.6
+0 0 0 0 0 9 24 16 7.2
+0 0 0 0 0 9 25 16 7.8
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 7.2
+1 0 0 0 0 9 1 16 6.6
+1 0 0 0 0 9 2 16 6
+1 0 0 0 0 9 3 16 5.4
+1 0 0 0 0 9 4 16 4.8
+1 0 0 0 0 9 5 16 4.2
+1 0 0 0 0 9 6 16 3.6
+1 0 0 0 0 9 7 16 3
+1 0 0 0 0 9 8 16 2.4
+1 0 0 0 0 9 9 16 1.8
+1 0 0 0 0 9 10 16 1.2
+1 0 0 0 0 9 11 16 0.6
+1 0 0 0 0 9 12 16 6.2803698347351e-16
+1 0 0 0 0 9 13 16 0.6
+1 0 0 0 0 9 14 16 1.2
+1 0 0 0 0 9 15 16 1.8
+1 0 0 0 0 9 16 16 2.4
+1 0 0 0 0 9 17 16 3
+1 0 0 0 0 9 18 16 3.6
+1 0 0 0 0 9 19 16 4.2
+1 0 0 0 0 9 20 16 4.8
+1 0 0 0 0 9 21 16 5.4
+1 0 0 0 0 9 22 16 6
+1 0 0 0 0 9 23 16 6.6
+1 0 0 0 0 9 24 16 7.2
+1 0 0 0 0 9 25 16 7.8
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 7.2
+2 0 0 0 0 9 1 16 6.6
+2 0 0 0 0 9 2 16 6
+2 0 0 0 0 9 3 16 5.4
+2 0 0 0 0 9 4 16 4.8
+2 0 0 0 0 9 5 16 4.2
+2 0 0 0 0 9 6 16 3.6
+2 0 0 0 0 9 7 16 3
+2 0 0 0 0 9 8 16 2.4
+2 0 0 0 0 9 9 16 1.8
+2 0 0 0 0 9 10 16 1.2
+2 0 0 0 0 9 11 16 0.6
+2 0 0 0 0 9 12 16 6.2803698347351e-16
+2 0 0 0 0 9 13 16 0.6
+2 0 0 0 0 9 14 16 1.2
+2 0 0 0 0 9 15 16 1.8
+2 0 0 0 0 9 16 16 2.4
+2 0 0 0 0 9 17 16 3
+2 0 0 0 0 9 18 16 3.6
+2 0 0 0 0 9 19 16 4.2
+2 0 0 0 0 9 20 16 4.8
+2 0 0 0 0 9 21 16 5.4
+2 0 0 0 0 9 22 16 6
+2 0 0 0 0 9 23 16 6.6
+2 0 0 0 0 9 24 16 7.2
+2 0 0 0 0 9 25 16 7.8
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 7.2
+3 0 0 0 0 9 1 16 6.6
+3 0 0 0 0 9 2 16 6
+3 0 0 0 0 9 3 16 5.4
+3 0 0 0 0 9 4 16 4.8
+3 0 0 0 0 9 5 16 4.2
+3 0 0 0 0 9 6 16 3.6
+3 0 0 0 0 9 7 16 3
+3 0 0 0 0 9 8 16 2.4
+3 0 0 0 0 9 9 16 1.8
+3 0 0 0 0 9 10 16 1.2
+3 0 0 0 0 9 11 16 0.6
+3 0 0 0 0 9 12 16 6.2803698347351e-16
+3 0 0 0 0 9 13 16 0.6
+3 0 0 0 0 9 14 16 1.2
+3 0 0 0 0 9 15 16 1.8
+3 0 0 0 0 9 16 16 2.4
+3 0 0 0 0 9 17 16 3
+3 0 0 0 0 9 18 16 3.6
+3 0 0 0 0 9 19 16 4.2
+3 0 0 0 0 9 20 16 4.8
+3 0 0 0 0 9 21 16 5.4
+3 0 0 0 0 9 22 16 6
+3 0 0 0 0 9 23 16 6.6
+3 0 0 0 0 9 24 16 7.2
+3 0 0 0 0 9 25 16 7.8
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 7.2
+4 0 0 0 0 9 1 16 6.6
+4 0 0 0 0 9 2 16 6
+4 0 0 0 0 9 3 16 5.4
+4 0 0 0 0 9 4 16 4.8
+4 0 0 0 0 9 5 16 4.2
+4 0 0 0 0 9 6 16 3.6
+4 0 0 0 0 9 7 16 3
+4 0 0 0 0 9 8 16 2.4
+4 0 0 0 0 9 9 16 1.8
+4 0 0 0 0 9 10 16 1.2
+4 0 0 0 0 9 11 16 0.6
+4 0 0 0 0 9 12 16 6.2803698347351e-16
+4 0 0 0 0 9 13 16 0.6
+4 0 0 0 0 9 14 16 1.2
+4 0 0 0 0 9 15 16 1.8
+4 0 0 0 0 9 16 16 2.4
+4 0 0 0 0 9 17 16 3
+4 0 0 0 0 9 18 16 3.6
+4 0 0 0 0 9 19 16 4.2
+4 0 0 0 0 9 20 16 4.8
+4 0 0 0 0 9 21 16 5.4
+4 0 0 0 0 9 22 16 6
+4 0 0 0 0 9 23 16 6.6
+4 0 0 0 0 9 24 16 7.2
+4 0 0 0 0 9 25 16 7.8
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 7.2
+5 0 0 0 0 9 1 16 6.6
+5 0 0 0 0 9 2 16 6
+5 0 0 0 0 9 3 16 5.4
+5 0 0 0 0 9 4 16 4.8
+5 0 0 0 0 9 5 16 4.2
+5 0 0 0 0 9 6 16 3.6
+5 0 0 0 0 9 7 16 3
+5 0 0 0 0 9 8 16 2.4
+5 0 0 0 0 9 9 16 1.8
+5 0 0 0 0 9 10 16 1.2
+5 0 0 0 0 9 11 16 0.6
+5 0 0 0 0 9 12 16 6.2803698347351e-16
+5 0 0 0 0 9 13 16 0.6
+5 0 0 0 0 9 14 16 1.2
+5 0 0 0 0 9 15 16 1.8
+5 0 0 0 0 9 16 16 2.4
+5 0 0 0 0 9 17 16 3
+5 0 0 0 0 9 18 16 3.6
+5 0 0 0 0 9 19 16 4.2
+5 0 0 0 0 9 20 16 4.8
+5 0 0 0 0 9 21 16 5.4
+5 0 0 0 0 9 22 16 6
+5 0 0 0 0 9 23 16 6.6
+5 0 0 0 0 9 24 16 7.2
+5 0 0 0 0 9 25 16 7.8
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 7.2
+6 0 0 0 0 9 1 16 6.6
+6 0 0 0 0 9 2 16 6
+6 0 0 0 0 9 3 16 5.4
+6 0 0 0 0 9 4 16 4.8
+6 0 0 0 0 9 5 16 4.2
+6 0 0 0 0 9 6 16 3.6
+6 0 0 0 0 9 7 16 3
+6 0 0 0 0 9 8 16 2.4
+6 0 0 0 0 9 9 16 1.8
+6 0 0 0 0 9 10 16 1.2
+6 0 0 0 0 9 11 16 0.6
+6 0 0 0 0 9 12 16 6.2803698347351e-16
+6 0 0 0 0 9 13 16 0.6
+6 0 0 0 0 9 14 16 1.2
+6 0 0 0 0 9 15 16 1.8
+6 0 0 0 0 9 16 16 2.4
+6 0 0 0 0 9 17 16 3
+6 0 0 0 0 9 18 16 3.6
+6 0 0 0 0 9 19 16 4.2
+6 0 0 0 0 9 20 16 4.8
+6 0 0 0 0 9 21 16 5.4
+6 0 0 0 0 9 22 16 6
+6 0 0 0 0 9 23 16 6.6
+6 0 0 0 0 9 24 16 7.2
+6 0 0 0 0 9 25 16 7.8
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/spher3d_r.zl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/spher3d_r.zl
new file mode 100644
index 000000000..0d3ac2541
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse/spher3d_r.zl
@@ -0,0 +1,275 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 9.6
+0 0 0 0 0 9 12 1 9
+0 0 0 0 0 9 12 2 8.4
+0 0 0 0 0 9 12 3 7.8
+0 0 0 0 0 9 12 4 7.2
+0 0 0 0 0 9 12 5 6.6
+0 0 0 0 0 9 12 6 6
+0 0 0 0 0 9 12 7 5.4
+0 0 0 0 0 9 12 8 4.8
+0 0 0 0 0 9 12 9 4.2
+0 0 0 0 0 9 12 10 3.6
+0 0 0 0 0 9 12 11 3
+0 0 0 0 0 9 12 12 2.4
+0 0 0 0 0 9 12 13 1.8
+0 0 0 0 0 9 12 14 1.2
+0 0 0 0 0 9 12 15 0.6
+0 0 0 0 0 9 12 16 6.2803698347351e-16
+0 0 0 0 0 9 12 17 0.6
+0 0 0 0 0 9 12 18 1.2
+0 0 0 0 0 9 12 19 1.8
+0 0 0 0 0 9 12 20 2.4
+0 0 0 0 0 9 12 21 3
+0 0 0 0 0 9 12 22 3.6
+0 0 0 0 0 9 12 23 4.2
+0 0 0 0 0 9 12 24 4.8
+0 0 0 0 0 9 12 25 5.4
+0 0 0 0 0 9 12 26 6
+0 0 0 0 0 9 12 27 6.6
+0 0 0 0 0 9 12 28 7.2
+0 0 0 0 0 9 12 29 7.8
+0 0 0 0 0 9 12 30 8.4
+0 0 0 0 0 9 12 31 9
+0 0 0 0 0 9 12 32 9.6
+0 0 0 0 0 9 12 33 10.2
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 9.6
+1 0 0 0 0 9 12 1 9
+1 0 0 0 0 9 12 2 8.4
+1 0 0 0 0 9 12 3 7.8
+1 0 0 0 0 9 12 4 7.2
+1 0 0 0 0 9 12 5 6.6
+1 0 0 0 0 9 12 6 6
+1 0 0 0 0 9 12 7 5.4
+1 0 0 0 0 9 12 8 4.8
+1 0 0 0 0 9 12 9 4.2
+1 0 0 0 0 9 12 10 3.6
+1 0 0 0 0 9 12 11 3
+1 0 0 0 0 9 12 12 2.4
+1 0 0 0 0 9 12 13 1.8
+1 0 0 0 0 9 12 14 1.2
+1 0 0 0 0 9 12 15 0.6
+1 0 0 0 0 9 12 16 6.2803698347351e-16
+1 0 0 0 0 9 12 17 0.6
+1 0 0 0 0 9 12 18 1.2
+1 0 0 0 0 9 12 19 1.8
+1 0 0 0 0 9 12 20 2.4
+1 0 0 0 0 9 12 21 3
+1 0 0 0 0 9 12 22 3.6
+1 0 0 0 0 9 12 23 4.2
+1 0 0 0 0 9 12 24 4.8
+1 0 0 0 0 9 12 25 5.4
+1 0 0 0 0 9 12 26 6
+1 0 0 0 0 9 12 27 6.6
+1 0 0 0 0 9 12 28 7.2
+1 0 0 0 0 9 12 29 7.8
+1 0 0 0 0 9 12 30 8.4
+1 0 0 0 0 9 12 31 9
+1 0 0 0 0 9 12 32 9.6
+1 0 0 0 0 9 12 33 10.2
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 9.6
+2 0 0 0 0 9 12 1 9
+2 0 0 0 0 9 12 2 8.4
+2 0 0 0 0 9 12 3 7.8
+2 0 0 0 0 9 12 4 7.2
+2 0 0 0 0 9 12 5 6.6
+2 0 0 0 0 9 12 6 6
+2 0 0 0 0 9 12 7 5.4
+2 0 0 0 0 9 12 8 4.8
+2 0 0 0 0 9 12 9 4.2
+2 0 0 0 0 9 12 10 3.6
+2 0 0 0 0 9 12 11 3
+2 0 0 0 0 9 12 12 2.4
+2 0 0 0 0 9 12 13 1.8
+2 0 0 0 0 9 12 14 1.2
+2 0 0 0 0 9 12 15 0.6
+2 0 0 0 0 9 12 16 6.2803698347351e-16
+2 0 0 0 0 9 12 17 0.6
+2 0 0 0 0 9 12 18 1.2
+2 0 0 0 0 9 12 19 1.8
+2 0 0 0 0 9 12 20 2.4
+2 0 0 0 0 9 12 21 3
+2 0 0 0 0 9 12 22 3.6
+2 0 0 0 0 9 12 23 4.2
+2 0 0 0 0 9 12 24 4.8
+2 0 0 0 0 9 12 25 5.4
+2 0 0 0 0 9 12 26 6
+2 0 0 0 0 9 12 27 6.6
+2 0 0 0 0 9 12 28 7.2
+2 0 0 0 0 9 12 29 7.8
+2 0 0 0 0 9 12 30 8.4
+2 0 0 0 0 9 12 31 9
+2 0 0 0 0 9 12 32 9.6
+2 0 0 0 0 9 12 33 10.2
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 9.6
+3 0 0 0 0 9 12 1 9
+3 0 0 0 0 9 12 2 8.4
+3 0 0 0 0 9 12 3 7.8
+3 0 0 0 0 9 12 4 7.2
+3 0 0 0 0 9 12 5 6.6
+3 0 0 0 0 9 12 6 6
+3 0 0 0 0 9 12 7 5.4
+3 0 0 0 0 9 12 8 4.8
+3 0 0 0 0 9 12 9 4.2
+3 0 0 0 0 9 12 10 3.6
+3 0 0 0 0 9 12 11 3
+3 0 0 0 0 9 12 12 2.4
+3 0 0 0 0 9 12 13 1.8
+3 0 0 0 0 9 12 14 1.2
+3 0 0 0 0 9 12 15 0.6
+3 0 0 0 0 9 12 16 6.2803698347351e-16
+3 0 0 0 0 9 12 17 0.6
+3 0 0 0 0 9 12 18 1.2
+3 0 0 0 0 9 12 19 1.8
+3 0 0 0 0 9 12 20 2.4
+3 0 0 0 0 9 12 21 3
+3 0 0 0 0 9 12 22 3.6
+3 0 0 0 0 9 12 23 4.2
+3 0 0 0 0 9 12 24 4.8
+3 0 0 0 0 9 12 25 5.4
+3 0 0 0 0 9 12 26 6
+3 0 0 0 0 9 12 27 6.6
+3 0 0 0 0 9 12 28 7.2
+3 0 0 0 0 9 12 29 7.8
+3 0 0 0 0 9 12 30 8.4
+3 0 0 0 0 9 12 31 9
+3 0 0 0 0 9 12 32 9.6
+3 0 0 0 0 9 12 33 10.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 9.6
+4 0 0 0 0 9 12 1 9
+4 0 0 0 0 9 12 2 8.4
+4 0 0 0 0 9 12 3 7.8
+4 0 0 0 0 9 12 4 7.2
+4 0 0 0 0 9 12 5 6.6
+4 0 0 0 0 9 12 6 6
+4 0 0 0 0 9 12 7 5.4
+4 0 0 0 0 9 12 8 4.8
+4 0 0 0 0 9 12 9 4.2
+4 0 0 0 0 9 12 10 3.6
+4 0 0 0 0 9 12 11 3
+4 0 0 0 0 9 12 12 2.4
+4 0 0 0 0 9 12 13 1.8
+4 0 0 0 0 9 12 14 1.2
+4 0 0 0 0 9 12 15 0.6
+4 0 0 0 0 9 12 16 6.2803698347351e-16
+4 0 0 0 0 9 12 17 0.6
+4 0 0 0 0 9 12 18 1.2
+4 0 0 0 0 9 12 19 1.8
+4 0 0 0 0 9 12 20 2.4
+4 0 0 0 0 9 12 21 3
+4 0 0 0 0 9 12 22 3.6
+4 0 0 0 0 9 12 23 4.2
+4 0 0 0 0 9 12 24 4.8
+4 0 0 0 0 9 12 25 5.4
+4 0 0 0 0 9 12 26 6
+4 0 0 0 0 9 12 27 6.6
+4 0 0 0 0 9 12 28 7.2
+4 0 0 0 0 9 12 29 7.8
+4 0 0 0 0 9 12 30 8.4
+4 0 0 0 0 9 12 31 9
+4 0 0 0 0 9 12 32 9.6
+4 0 0 0 0 9 12 33 10.2
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 9.6
+5 0 0 0 0 9 12 1 9
+5 0 0 0 0 9 12 2 8.4
+5 0 0 0 0 9 12 3 7.8
+5 0 0 0 0 9 12 4 7.2
+5 0 0 0 0 9 12 5 6.6
+5 0 0 0 0 9 12 6 6
+5 0 0 0 0 9 12 7 5.4
+5 0 0 0 0 9 12 8 4.8
+5 0 0 0 0 9 12 9 4.2
+5 0 0 0 0 9 12 10 3.6
+5 0 0 0 0 9 12 11 3
+5 0 0 0 0 9 12 12 2.4
+5 0 0 0 0 9 12 13 1.8
+5 0 0 0 0 9 12 14 1.2
+5 0 0 0 0 9 12 15 0.6
+5 0 0 0 0 9 12 16 6.2803698347351e-16
+5 0 0 0 0 9 12 17 0.6
+5 0 0 0 0 9 12 18 1.2
+5 0 0 0 0 9 12 19 1.8
+5 0 0 0 0 9 12 20 2.4
+5 0 0 0 0 9 12 21 3
+5 0 0 0 0 9 12 22 3.6
+5 0 0 0 0 9 12 23 4.2
+5 0 0 0 0 9 12 24 4.8
+5 0 0 0 0 9 12 25 5.4
+5 0 0 0 0 9 12 26 6
+5 0 0 0 0 9 12 27 6.6
+5 0 0 0 0 9 12 28 7.2
+5 0 0 0 0 9 12 29 7.8
+5 0 0 0 0 9 12 30 8.4
+5 0 0 0 0 9 12 31 9
+5 0 0 0 0 9 12 32 9.6
+5 0 0 0 0 9 12 33 10.2
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 9.6
+6 0 0 0 0 9 12 1 9
+6 0 0 0 0 9 12 2 8.4
+6 0 0 0 0 9 12 3 7.8
+6 0 0 0 0 9 12 4 7.2
+6 0 0 0 0 9 12 5 6.6
+6 0 0 0 0 9 12 6 6
+6 0 0 0 0 9 12 7 5.4
+6 0 0 0 0 9 12 8 4.8
+6 0 0 0 0 9 12 9 4.2
+6 0 0 0 0 9 12 10 3.6
+6 0 0 0 0 9 12 11 3
+6 0 0 0 0 9 12 12 2.4
+6 0 0 0 0 9 12 13 1.8
+6 0 0 0 0 9 12 14 1.2
+6 0 0 0 0 9 12 15 0.6
+6 0 0 0 0 9 12 16 6.2803698347351e-16
+6 0 0 0 0 9 12 17 0.6
+6 0 0 0 0 9 12 18 1.2
+6 0 0 0 0 9 12 19 1.8
+6 0 0 0 0 9 12 20 2.4
+6 0 0 0 0 9 12 21 3
+6 0 0 0 0 9 12 22 3.6
+6 0 0 0 0 9 12 23 4.2
+6 0 0 0 0 9 12 24 4.8
+6 0 0 0 0 9 12 25 5.4
+6 0 0 0 0 9 12 26 6
+6 0 0 0 0 9 12 27 6.6
+6 0 0 0 0 9 12 28 7.2
+6 0 0 0 0 9 12 29 7.8
+6 0 0 0 0 9 12 30 8.4
+6 0 0 0 0 9 12 31 9
+6 0 0 0 0 9 12 32 9.6
+6 0 0 0 0 9 12 33 10.2
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2.log b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2.log
new file mode 100644
index 000000000..7b86b5de6
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2.log
@@ -0,0 +1,137 @@
+--------------------------------------------------------------------------------
+
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+
+Cactus version: 4.0.b11
+Compile date: Nov 30 2001 (15:23:02)
+Run date: Dec 3 2001 (11:33:32)
+Run host: lilypond.tat.physik.uni-tuebingen.de
+Parameter file: /home/eschnett/Calpha/Cactus/arrangements/Carpet/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2.par
+--------------------------------------------------------------------------------
+
+Activating thorn Cactus...Success -> active implementation Cactus
+Activation requested for
+--->Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetSlab IDSpaceTimeToy SpaceTimeToy Hydrotoy<---
+Activating thorn Boundary...Success -> active implementation boundary
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Hydrotoy...Success -> active implementation hydrotoy
+Activating thorn IDSpaceTimeToy...Success -> active implementation idspacetimetoy
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn SpaceTimeToy...Success -> active implementation spacetimetoy
+Activating thorn Time...Success -> active implementation time
+--------------------------------------------------------------------------------
+ if (recover)
+ Recover parameters
+ endif
+
+ Startup routines
+ Carpet: Startup routine
+ IOUtil: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IDSpaceTimeToy: Register banner
+ IOBasic: Startup routine
+ CarpetIOASCII: Startup routine
+ SpaceTimeToy: Register banner
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ SpaceTimeToy: Schedule symmetries
+ Time: Initialise Time variables
+ Time: Set timestep based on Courant condition
+ IDSpaceTimeToy: Initial data for 3D wave equation
+ if (recover)
+ endif
+ if (checkpoint initial data)
+ endif
+ if (analysis)
+ endif
+
+ do loop over timesteps
+ Rotate timelevels
+ iteration = iteration + 1
+ t = t+dt
+ SpaceTimeToy: Initial Euler step
+ while (SpaceTimeToy::do_iterate)
+ SpaceTimeToy: One ICN step
+ end while
+ if (checkpoint)
+ endif
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+IDSpaceTimeToy: Initial data for two Scalar Fields
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+SpaceTimeToy: Evolutions of two Scalar Fields
+--------------------------------------------------------------------------------
+
+INFO (Carpet): Carpet is running on 1 processors
+INFO (IOBasic): I/O Method 'Scalar' registered
+INFO (IOBasic): Scalar: Output of scalar quantities (grid scalars, reductions) to ASCII files
+INFO (IOBasic): I/O Method 'Info' registered
+INFO (IOBasic): Info: Output of scalar quantities (grid scalars, reductions) to screen
+INFO (Cart3d): Cartesian coordinates:
+INFO (Cart3d): Whole grid: lower bound [-5.4, -7.2, -9.6]
+INFO (Cart3d): Whole grid: upper bound [5.4, 7.8, 10.2]
+INFO (Cart3d): Whole grid: extent [11.4, 15.6, 20.4]
+INFO (Cart3d): Interior: lower bound [-4.2, -6, -8.4]
+INFO (Cart3d): Interior: upper bound [4.2, 6.6, 9]
+INFO (Cart3d): Interior: extent [9, 13.2, 18]
+INFO (Cart3d): Grid spacing: [0.6, 0.6, 0.6]
+INFO (IOBasic): Scalar: Output every -1 iterations
+INFO (IOBasic): Info: Output every 1 iterations
+------------------
+ it | |
+ | t |
+------------------
+ 0 | 0.000 |
+ 0 | 0.000 |
+ 1 | 0.150 |
+ 2 | 0.300 |
+ 2 | 0.300 |
+ 3 | 0.450 |
+ 4 | 0.600 |
+ 4 | 0.600 |
+ 5 | 0.750 |
+ 6 | 0.900 |
+ 6 | 0.900 |
+ 7 | 1.050 |
+ 8 | 1.200 |
+ 8 | 1.200 |
+ 9 | 1.350 |
+ 10 | 1.500 |
+ 10 | 1.500 |
+ 11 | 1.650 |
+ 12 | 1.800 |
+ 12 | 1.800 |
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2.par b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2.par
new file mode 100644
index 000000000..6fc133c10
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2.par
@@ -0,0 +1,55 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2.par,v 1.5 2004/03/23 12:00:15 schnetter Exp $
+
+!DESC "SpaceTimeToy with periodic boundaries, 1 refinement level"
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDSpaceTimeToy SpaceTimeToy Hydrotoy"
+
+Carpet::poison_new_timelevels = yes
+#Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 12
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 2
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "spacetimetoy_periodic_coarse_rl2"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "spacetimetoy::spacetimeevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "spacetimetoy::spacetimeevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "spacetimetoy::spacetimeevolve grid::coordinates"
+
+SpaceTimeToy::icn_iterations = 2
+SpaceTimeToy::bound = radiation
+
+HydroToy::hydrotoy_active = no
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDSpaceTimeToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDSpaceTimeToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_x.xl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_x.xl
new file mode 100644
index 000000000..11061d80c
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_x.xl
@@ -0,0 +1,482 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -2.7
+0 0 1 0 0 10 24 32 -2.4
+0 0 1 0 0 11 24 32 -2.1
+0 0 1 0 0 12 24 32 -1.8
+0 0 1 0 0 13 24 32 -1.5
+0 0 1 0 0 14 24 32 -1.2
+0 0 1 0 0 15 24 32 -0.9
+0 0 1 0 0 16 24 32 -0.6
+0 0 1 0 0 17 24 32 -0.3
+0 0 1 0 0 18 24 32 4.44089209850063e-16
+0 0 1 0 0 19 24 32 0.3
+0 0 1 0 0 20 24 32 0.600000000000001
+0 0 1 0 0 21 24 32 0.900000000000001
+0 0 1 0 0 22 24 32 1.2
+0 0 1 0 0 23 24 32 1.5
+0 0 1 0 0 24 24 32 1.8
+0 0 1 0 0 25 24 32 2.1
+0 0 1 0 0 26 24 32 2.4
+0 0 1 0 0 27 24 32 2.7
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -5.4
+0 0 0 0 0 2 24 32 -4.8
+0 0 0 0 0 4 24 32 -4.2
+0 0 0 0 0 6 24 32 -3.6
+0 0 0 0 0 8 24 32 -3
+0 0 0 0 0 10 24 32 -2.4
+0 0 0 0 0 12 24 32 -1.8
+0 0 0 0 0 14 24 32 -1.2
+0 0 0 0 0 16 24 32 -0.6
+0 0 0 0 0 18 24 32 4.44089209850063e-16
+0 0 0 0 0 20 24 32 0.600000000000001
+0 0 0 0 0 22 24 32 1.2
+0 0 0 0 0 24 24 32 1.8
+0 0 0 0 0 26 24 32 2.4
+0 0 0 0 0 28 24 32 3
+0 0 0 0 0 30 24 32 3.6
+0 0 0 0 0 32 24 32 4.2
+0 0 0 0 0 34 24 32 4.8
+0 0 0 0 0 36 24 32 5.4
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -2.7
+1 0 1 0 0 10 24 32 -2.4
+1 0 1 0 0 11 24 32 -2.1
+1 0 1 0 0 12 24 32 -1.8
+1 0 1 0 0 13 24 32 -1.5
+1 0 1 0 0 14 24 32 -1.2
+1 0 1 0 0 15 24 32 -0.9
+1 0 1 0 0 16 24 32 -0.6
+1 0 1 0 0 17 24 32 -0.3
+1 0 1 0 0 18 24 32 4.44089209850063e-16
+1 0 1 0 0 19 24 32 0.3
+1 0 1 0 0 20 24 32 0.600000000000001
+1 0 1 0 0 21 24 32 0.900000000000001
+1 0 1 0 0 22 24 32 1.2
+1 0 1 0 0 23 24 32 1.5
+1 0 1 0 0 24 24 32 1.8
+1 0 1 0 0 25 24 32 2.1
+1 0 1 0 0 26 24 32 2.4
+1 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 -2.7
+2 0 1 0 0 10 24 32 -2.4
+2 0 1 0 0 11 24 32 -2.1
+2 0 1 0 0 12 24 32 -1.8
+2 0 1 0 0 13 24 32 -1.5
+2 0 1 0 0 14 24 32 -1.2
+2 0 1 0 0 15 24 32 -0.9
+2 0 1 0 0 16 24 32 -0.6
+2 0 1 0 0 17 24 32 -0.3
+2 0 1 0 0 18 24 32 4.44089209850063e-16
+2 0 1 0 0 19 24 32 0.3
+2 0 1 0 0 20 24 32 0.600000000000001
+2 0 1 0 0 21 24 32 0.900000000000001
+2 0 1 0 0 22 24 32 1.2
+2 0 1 0 0 23 24 32 1.5
+2 0 1 0 0 24 24 32 1.8
+2 0 1 0 0 25 24 32 2.1
+2 0 1 0 0 26 24 32 2.4
+2 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -5.4
+2 0 0 0 0 2 24 32 -4.8
+2 0 0 0 0 4 24 32 -4.2
+2 0 0 0 0 6 24 32 -3.6
+2 0 0 0 0 8 24 32 -3
+2 0 0 0 0 10 24 32 -2.4
+2 0 0 0 0 12 24 32 -1.8
+2 0 0 0 0 14 24 32 -1.2
+2 0 0 0 0 16 24 32 -0.6
+2 0 0 0 0 18 24 32 4.44089209850063e-16
+2 0 0 0 0 20 24 32 0.600000000000001
+2 0 0 0 0 22 24 32 1.2
+2 0 0 0 0 24 24 32 1.8
+2 0 0 0 0 26 24 32 2.4
+2 0 0 0 0 28 24 32 3
+2 0 0 0 0 30 24 32 3.6
+2 0 0 0 0 32 24 32 4.2
+2 0 0 0 0 34 24 32 4.8
+2 0 0 0 0 36 24 32 5.4
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 -2.7
+3 0 1 0 0 10 24 32 -2.4
+3 0 1 0 0 11 24 32 -2.1
+3 0 1 0 0 12 24 32 -1.8
+3 0 1 0 0 13 24 32 -1.5
+3 0 1 0 0 14 24 32 -1.2
+3 0 1 0 0 15 24 32 -0.9
+3 0 1 0 0 16 24 32 -0.6
+3 0 1 0 0 17 24 32 -0.3
+3 0 1 0 0 18 24 32 4.44089209850063e-16
+3 0 1 0 0 19 24 32 0.3
+3 0 1 0 0 20 24 32 0.600000000000001
+3 0 1 0 0 21 24 32 0.900000000000001
+3 0 1 0 0 22 24 32 1.2
+3 0 1 0 0 23 24 32 1.5
+3 0 1 0 0 24 24 32 1.8
+3 0 1 0 0 25 24 32 2.1
+3 0 1 0 0 26 24 32 2.4
+3 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 -2.7
+4 0 1 0 0 10 24 32 -2.4
+4 0 1 0 0 11 24 32 -2.1
+4 0 1 0 0 12 24 32 -1.8
+4 0 1 0 0 13 24 32 -1.5
+4 0 1 0 0 14 24 32 -1.2
+4 0 1 0 0 15 24 32 -0.9
+4 0 1 0 0 16 24 32 -0.6
+4 0 1 0 0 17 24 32 -0.3
+4 0 1 0 0 18 24 32 4.44089209850063e-16
+4 0 1 0 0 19 24 32 0.3
+4 0 1 0 0 20 24 32 0.600000000000001
+4 0 1 0 0 21 24 32 0.900000000000001
+4 0 1 0 0 22 24 32 1.2
+4 0 1 0 0 23 24 32 1.5
+4 0 1 0 0 24 24 32 1.8
+4 0 1 0 0 25 24 32 2.1
+4 0 1 0 0 26 24 32 2.4
+4 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -5.4
+4 0 0 0 0 2 24 32 -4.8
+4 0 0 0 0 4 24 32 -4.2
+4 0 0 0 0 6 24 32 -3.6
+4 0 0 0 0 8 24 32 -3
+4 0 0 0 0 10 24 32 -2.4
+4 0 0 0 0 12 24 32 -1.8
+4 0 0 0 0 14 24 32 -1.2
+4 0 0 0 0 16 24 32 -0.6
+4 0 0 0 0 18 24 32 4.44089209850063e-16
+4 0 0 0 0 20 24 32 0.600000000000001
+4 0 0 0 0 22 24 32 1.2
+4 0 0 0 0 24 24 32 1.8
+4 0 0 0 0 26 24 32 2.4
+4 0 0 0 0 28 24 32 3
+4 0 0 0 0 30 24 32 3.6
+4 0 0 0 0 32 24 32 4.2
+4 0 0 0 0 34 24 32 4.8
+4 0 0 0 0 36 24 32 5.4
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 -2.7
+5 0 1 0 0 10 24 32 -2.4
+5 0 1 0 0 11 24 32 -2.1
+5 0 1 0 0 12 24 32 -1.8
+5 0 1 0 0 13 24 32 -1.5
+5 0 1 0 0 14 24 32 -1.2
+5 0 1 0 0 15 24 32 -0.9
+5 0 1 0 0 16 24 32 -0.6
+5 0 1 0 0 17 24 32 -0.3
+5 0 1 0 0 18 24 32 4.44089209850063e-16
+5 0 1 0 0 19 24 32 0.3
+5 0 1 0 0 20 24 32 0.600000000000001
+5 0 1 0 0 21 24 32 0.900000000000001
+5 0 1 0 0 22 24 32 1.2
+5 0 1 0 0 23 24 32 1.5
+5 0 1 0 0 24 24 32 1.8
+5 0 1 0 0 25 24 32 2.1
+5 0 1 0 0 26 24 32 2.4
+5 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 -2.7
+6 0 1 0 0 10 24 32 -2.4
+6 0 1 0 0 11 24 32 -2.1
+6 0 1 0 0 12 24 32 -1.8
+6 0 1 0 0 13 24 32 -1.5
+6 0 1 0 0 14 24 32 -1.2
+6 0 1 0 0 15 24 32 -0.9
+6 0 1 0 0 16 24 32 -0.6
+6 0 1 0 0 17 24 32 -0.3
+6 0 1 0 0 18 24 32 4.44089209850063e-16
+6 0 1 0 0 19 24 32 0.3
+6 0 1 0 0 20 24 32 0.600000000000001
+6 0 1 0 0 21 24 32 0.900000000000001
+6 0 1 0 0 22 24 32 1.2
+6 0 1 0 0 23 24 32 1.5
+6 0 1 0 0 24 24 32 1.8
+6 0 1 0 0 25 24 32 2.1
+6 0 1 0 0 26 24 32 2.4
+6 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -5.4
+6 0 0 0 0 2 24 32 -4.8
+6 0 0 0 0 4 24 32 -4.2
+6 0 0 0 0 6 24 32 -3.6
+6 0 0 0 0 8 24 32 -3
+6 0 0 0 0 10 24 32 -2.4
+6 0 0 0 0 12 24 32 -1.8
+6 0 0 0 0 14 24 32 -1.2
+6 0 0 0 0 16 24 32 -0.6
+6 0 0 0 0 18 24 32 4.44089209850063e-16
+6 0 0 0 0 20 24 32 0.600000000000001
+6 0 0 0 0 22 24 32 1.2
+6 0 0 0 0 24 24 32 1.8
+6 0 0 0 0 26 24 32 2.4
+6 0 0 0 0 28 24 32 3
+6 0 0 0 0 30 24 32 3.6
+6 0 0 0 0 32 24 32 4.2
+6 0 0 0 0 34 24 32 4.8
+6 0 0 0 0 36 24 32 5.4
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 -2.7
+7 0 1 0 0 10 24 32 -2.4
+7 0 1 0 0 11 24 32 -2.1
+7 0 1 0 0 12 24 32 -1.8
+7 0 1 0 0 13 24 32 -1.5
+7 0 1 0 0 14 24 32 -1.2
+7 0 1 0 0 15 24 32 -0.9
+7 0 1 0 0 16 24 32 -0.6
+7 0 1 0 0 17 24 32 -0.3
+7 0 1 0 0 18 24 32 4.44089209850063e-16
+7 0 1 0 0 19 24 32 0.3
+7 0 1 0 0 20 24 32 0.600000000000001
+7 0 1 0 0 21 24 32 0.900000000000001
+7 0 1 0 0 22 24 32 1.2
+7 0 1 0 0 23 24 32 1.5
+7 0 1 0 0 24 24 32 1.8
+7 0 1 0 0 25 24 32 2.1
+7 0 1 0 0 26 24 32 2.4
+7 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 -2.7
+8 0 1 0 0 10 24 32 -2.4
+8 0 1 0 0 11 24 32 -2.1
+8 0 1 0 0 12 24 32 -1.8
+8 0 1 0 0 13 24 32 -1.5
+8 0 1 0 0 14 24 32 -1.2
+8 0 1 0 0 15 24 32 -0.9
+8 0 1 0 0 16 24 32 -0.6
+8 0 1 0 0 17 24 32 -0.3
+8 0 1 0 0 18 24 32 4.44089209850063e-16
+8 0 1 0 0 19 24 32 0.3
+8 0 1 0 0 20 24 32 0.600000000000001
+8 0 1 0 0 21 24 32 0.900000000000001
+8 0 1 0 0 22 24 32 1.2
+8 0 1 0 0 23 24 32 1.5
+8 0 1 0 0 24 24 32 1.8
+8 0 1 0 0 25 24 32 2.1
+8 0 1 0 0 26 24 32 2.4
+8 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -5.4
+8 0 0 0 0 2 24 32 -4.8
+8 0 0 0 0 4 24 32 -4.2
+8 0 0 0 0 6 24 32 -3.6
+8 0 0 0 0 8 24 32 -3
+8 0 0 0 0 10 24 32 -2.4
+8 0 0 0 0 12 24 32 -1.8
+8 0 0 0 0 14 24 32 -1.2
+8 0 0 0 0 16 24 32 -0.6
+8 0 0 0 0 18 24 32 4.44089209850063e-16
+8 0 0 0 0 20 24 32 0.600000000000001
+8 0 0 0 0 22 24 32 1.2
+8 0 0 0 0 24 24 32 1.8
+8 0 0 0 0 26 24 32 2.4
+8 0 0 0 0 28 24 32 3
+8 0 0 0 0 30 24 32 3.6
+8 0 0 0 0 32 24 32 4.2
+8 0 0 0 0 34 24 32 4.8
+8 0 0 0 0 36 24 32 5.4
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 -2.7
+9 0 1 0 0 10 24 32 -2.4
+9 0 1 0 0 11 24 32 -2.1
+9 0 1 0 0 12 24 32 -1.8
+9 0 1 0 0 13 24 32 -1.5
+9 0 1 0 0 14 24 32 -1.2
+9 0 1 0 0 15 24 32 -0.9
+9 0 1 0 0 16 24 32 -0.6
+9 0 1 0 0 17 24 32 -0.3
+9 0 1 0 0 18 24 32 4.44089209850063e-16
+9 0 1 0 0 19 24 32 0.3
+9 0 1 0 0 20 24 32 0.600000000000001
+9 0 1 0 0 21 24 32 0.900000000000001
+9 0 1 0 0 22 24 32 1.2
+9 0 1 0 0 23 24 32 1.5
+9 0 1 0 0 24 24 32 1.8
+9 0 1 0 0 25 24 32 2.1
+9 0 1 0 0 26 24 32 2.4
+9 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 -2.7
+10 0 1 0 0 10 24 32 -2.4
+10 0 1 0 0 11 24 32 -2.1
+10 0 1 0 0 12 24 32 -1.8
+10 0 1 0 0 13 24 32 -1.5
+10 0 1 0 0 14 24 32 -1.2
+10 0 1 0 0 15 24 32 -0.9
+10 0 1 0 0 16 24 32 -0.6
+10 0 1 0 0 17 24 32 -0.3
+10 0 1 0 0 18 24 32 4.44089209850063e-16
+10 0 1 0 0 19 24 32 0.3
+10 0 1 0 0 20 24 32 0.600000000000001
+10 0 1 0 0 21 24 32 0.900000000000001
+10 0 1 0 0 22 24 32 1.2
+10 0 1 0 0 23 24 32 1.5
+10 0 1 0 0 24 24 32 1.8
+10 0 1 0 0 25 24 32 2.1
+10 0 1 0 0 26 24 32 2.4
+10 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -5.4
+10 0 0 0 0 2 24 32 -4.8
+10 0 0 0 0 4 24 32 -4.2
+10 0 0 0 0 6 24 32 -3.6
+10 0 0 0 0 8 24 32 -3
+10 0 0 0 0 10 24 32 -2.4
+10 0 0 0 0 12 24 32 -1.8
+10 0 0 0 0 14 24 32 -1.2
+10 0 0 0 0 16 24 32 -0.6
+10 0 0 0 0 18 24 32 4.44089209850063e-16
+10 0 0 0 0 20 24 32 0.600000000000001
+10 0 0 0 0 22 24 32 1.2
+10 0 0 0 0 24 24 32 1.8
+10 0 0 0 0 26 24 32 2.4
+10 0 0 0 0 28 24 32 3
+10 0 0 0 0 30 24 32 3.6
+10 0 0 0 0 32 24 32 4.2
+10 0 0 0 0 34 24 32 4.8
+10 0 0 0 0 36 24 32 5.4
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 -2.7
+11 0 1 0 0 10 24 32 -2.4
+11 0 1 0 0 11 24 32 -2.1
+11 0 1 0 0 12 24 32 -1.8
+11 0 1 0 0 13 24 32 -1.5
+11 0 1 0 0 14 24 32 -1.2
+11 0 1 0 0 15 24 32 -0.9
+11 0 1 0 0 16 24 32 -0.6
+11 0 1 0 0 17 24 32 -0.3
+11 0 1 0 0 18 24 32 4.44089209850063e-16
+11 0 1 0 0 19 24 32 0.3
+11 0 1 0 0 20 24 32 0.600000000000001
+11 0 1 0 0 21 24 32 0.900000000000001
+11 0 1 0 0 22 24 32 1.2
+11 0 1 0 0 23 24 32 1.5
+11 0 1 0 0 24 24 32 1.8
+11 0 1 0 0 25 24 32 2.1
+11 0 1 0 0 26 24 32 2.4
+11 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 -2.7
+12 0 1 0 0 10 24 32 -2.4
+12 0 1 0 0 11 24 32 -2.1
+12 0 1 0 0 12 24 32 -1.8
+12 0 1 0 0 13 24 32 -1.5
+12 0 1 0 0 14 24 32 -1.2
+12 0 1 0 0 15 24 32 -0.9
+12 0 1 0 0 16 24 32 -0.6
+12 0 1 0 0 17 24 32 -0.3
+12 0 1 0 0 18 24 32 4.44089209850063e-16
+12 0 1 0 0 19 24 32 0.3
+12 0 1 0 0 20 24 32 0.600000000000001
+12 0 1 0 0 21 24 32 0.900000000000001
+12 0 1 0 0 22 24 32 1.2
+12 0 1 0 0 23 24 32 1.5
+12 0 1 0 0 24 24 32 1.8
+12 0 1 0 0 25 24 32 2.1
+12 0 1 0 0 26 24 32 2.4
+12 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -5.4
+12 0 0 0 0 2 24 32 -4.8
+12 0 0 0 0 4 24 32 -4.2
+12 0 0 0 0 6 24 32 -3.6
+12 0 0 0 0 8 24 32 -3
+12 0 0 0 0 10 24 32 -2.4
+12 0 0 0 0 12 24 32 -1.8
+12 0 0 0 0 14 24 32 -1.2
+12 0 0 0 0 16 24 32 -0.6
+12 0 0 0 0 18 24 32 4.44089209850063e-16
+12 0 0 0 0 20 24 32 0.600000000000001
+12 0 0 0 0 22 24 32 1.2
+12 0 0 0 0 24 24 32 1.8
+12 0 0 0 0 26 24 32 2.4
+12 0 0 0 0 28 24 32 3
+12 0 0 0 0 30 24 32 3.6
+12 0 0 0 0 32 24 32 4.2
+12 0 0 0 0 34 24 32 4.8
+12 0 0 0 0 36 24 32 5.4
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_x.yl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_x.yl
new file mode 100644
index 000000000..44fc64068
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_x.yl
@@ -0,0 +1,622 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 4.44089209850063e-16
+0 0 1 0 0 18 14 32 4.44089209850063e-16
+0 0 1 0 0 18 15 32 4.44089209850063e-16
+0 0 1 0 0 18 16 32 4.44089209850063e-16
+0 0 1 0 0 18 17 32 4.44089209850063e-16
+0 0 1 0 0 18 18 32 4.44089209850063e-16
+0 0 1 0 0 18 19 32 4.44089209850063e-16
+0 0 1 0 0 18 20 32 4.44089209850063e-16
+0 0 1 0 0 18 21 32 4.44089209850063e-16
+0 0 1 0 0 18 22 32 4.44089209850063e-16
+0 0 1 0 0 18 23 32 4.44089209850063e-16
+0 0 1 0 0 18 24 32 4.44089209850063e-16
+0 0 1 0 0 18 25 32 4.44089209850063e-16
+0 0 1 0 0 18 26 32 4.44089209850063e-16
+0 0 1 0 0 18 27 32 4.44089209850063e-16
+0 0 1 0 0 18 28 32 4.44089209850063e-16
+0 0 1 0 0 18 29 32 4.44089209850063e-16
+0 0 1 0 0 18 30 32 4.44089209850063e-16
+0 0 1 0 0 18 31 32 4.44089209850063e-16
+0 0 1 0 0 18 32 32 4.44089209850063e-16
+0 0 1 0 0 18 33 32 4.44089209850063e-16
+0 0 1 0 0 18 34 32 4.44089209850063e-16
+0 0 1 0 0 18 35 32 4.44089209850063e-16
+0 0 1 0 0 18 36 32 4.44089209850063e-16
+0 0 1 0 0 18 37 32 4.44089209850063e-16
+0 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 4.44089209850063e-16
+0 0 0 0 0 18 2 32 4.44089209850063e-16
+0 0 0 0 0 18 4 32 4.44089209850063e-16
+0 0 0 0 0 18 6 32 4.44089209850063e-16
+0 0 0 0 0 18 8 32 4.44089209850063e-16
+0 0 0 0 0 18 10 32 4.44089209850063e-16
+0 0 0 0 0 18 12 32 4.44089209850063e-16
+0 0 0 0 0 18 14 32 4.44089209850063e-16
+0 0 0 0 0 18 16 32 4.44089209850063e-16
+0 0 0 0 0 18 18 32 4.44089209850063e-16
+0 0 0 0 0 18 20 32 4.44089209850063e-16
+0 0 0 0 0 18 22 32 4.44089209850063e-16
+0 0 0 0 0 18 24 32 4.44089209850063e-16
+0 0 0 0 0 18 26 32 4.44089209850063e-16
+0 0 0 0 0 18 28 32 4.44089209850063e-16
+0 0 0 0 0 18 30 32 4.44089209850063e-16
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+0 0 0 0 0 18 48 32 4.44089209850063e-16
+0 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 4.44089209850063e-16
+1 0 1 0 0 18 14 32 4.44089209850063e-16
+1 0 1 0 0 18 15 32 4.44089209850063e-16
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+1 0 1 0 0 18 37 32 4.44089209850063e-16
+1 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 4.44089209850063e-16
+2 0 1 0 0 18 14 32 4.44089209850063e-16
+2 0 1 0 0 18 15 32 4.44089209850063e-16
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+2 0 1 0 0 18 37 32 4.44089209850063e-16
+2 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 4.44089209850063e-16
+2 0 0 0 0 18 2 32 4.44089209850063e-16
+2 0 0 0 0 18 4 32 4.44089209850063e-16
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+2 0 0 0 0 18 48 32 4.44089209850063e-16
+2 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 4.44089209850063e-16
+3 0 1 0 0 18 14 32 4.44089209850063e-16
+3 0 1 0 0 18 15 32 4.44089209850063e-16
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+3 0 1 0 0 18 37 32 4.44089209850063e-16
+3 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 4.44089209850063e-16
+4 0 1 0 0 18 14 32 4.44089209850063e-16
+4 0 1 0 0 18 15 32 4.44089209850063e-16
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+4 0 1 0 0 18 37 32 4.44089209850063e-16
+4 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 4.44089209850063e-16
+4 0 0 0 0 18 2 32 4.44089209850063e-16
+4 0 0 0 0 18 4 32 4.44089209850063e-16
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+4 0 0 0 0 18 48 32 4.44089209850063e-16
+4 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 4.44089209850063e-16
+5 0 1 0 0 18 14 32 4.44089209850063e-16
+5 0 1 0 0 18 15 32 4.44089209850063e-16
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+5 0 1 0 0 18 37 32 4.44089209850063e-16
+5 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 4.44089209850063e-16
+6 0 1 0 0 18 14 32 4.44089209850063e-16
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+6 0 1 0 0 18 37 32 4.44089209850063e-16
+6 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 4.44089209850063e-16
+6 0 0 0 0 18 2 32 4.44089209850063e-16
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+6 0 0 0 0 18 48 32 4.44089209850063e-16
+6 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 4.44089209850063e-16
+7 0 1 0 0 18 14 32 4.44089209850063e-16
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+7 0 1 0 0 18 37 32 4.44089209850063e-16
+7 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 4.44089209850063e-16
+8 0 1 0 0 18 14 32 4.44089209850063e-16
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+8 0 1 0 0 18 37 32 4.44089209850063e-16
+8 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 4.44089209850063e-16
+8 0 0 0 0 18 2 32 4.44089209850063e-16
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+8 0 0 0 0 18 48 32 4.44089209850063e-16
+8 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 4.44089209850063e-16
+9 0 1 0 0 18 14 32 4.44089209850063e-16
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+9 0 1 0 0 18 31 32 4.44089209850063e-16
+9 0 1 0 0 18 32 32 4.44089209850063e-16
+9 0 1 0 0 18 33 32 4.44089209850063e-16
+9 0 1 0 0 18 34 32 4.44089209850063e-16
+9 0 1 0 0 18 35 32 4.44089209850063e-16
+9 0 1 0 0 18 36 32 4.44089209850063e-16
+9 0 1 0 0 18 37 32 4.44089209850063e-16
+9 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 4.44089209850063e-16
+10 0 1 0 0 18 14 32 4.44089209850063e-16
+10 0 1 0 0 18 15 32 4.44089209850063e-16
+10 0 1 0 0 18 16 32 4.44089209850063e-16
+10 0 1 0 0 18 17 32 4.44089209850063e-16
+10 0 1 0 0 18 18 32 4.44089209850063e-16
+10 0 1 0 0 18 19 32 4.44089209850063e-16
+10 0 1 0 0 18 20 32 4.44089209850063e-16
+10 0 1 0 0 18 21 32 4.44089209850063e-16
+10 0 1 0 0 18 22 32 4.44089209850063e-16
+10 0 1 0 0 18 23 32 4.44089209850063e-16
+10 0 1 0 0 18 24 32 4.44089209850063e-16
+10 0 1 0 0 18 25 32 4.44089209850063e-16
+10 0 1 0 0 18 26 32 4.44089209850063e-16
+10 0 1 0 0 18 27 32 4.44089209850063e-16
+10 0 1 0 0 18 28 32 4.44089209850063e-16
+10 0 1 0 0 18 29 32 4.44089209850063e-16
+10 0 1 0 0 18 30 32 4.44089209850063e-16
+10 0 1 0 0 18 31 32 4.44089209850063e-16
+10 0 1 0 0 18 32 32 4.44089209850063e-16
+10 0 1 0 0 18 33 32 4.44089209850063e-16
+10 0 1 0 0 18 34 32 4.44089209850063e-16
+10 0 1 0 0 18 35 32 4.44089209850063e-16
+10 0 1 0 0 18 36 32 4.44089209850063e-16
+10 0 1 0 0 18 37 32 4.44089209850063e-16
+10 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 4.44089209850063e-16
+10 0 0 0 0 18 2 32 4.44089209850063e-16
+10 0 0 0 0 18 4 32 4.44089209850063e-16
+10 0 0 0 0 18 6 32 4.44089209850063e-16
+10 0 0 0 0 18 8 32 4.44089209850063e-16
+10 0 0 0 0 18 10 32 4.44089209850063e-16
+10 0 0 0 0 18 12 32 4.44089209850063e-16
+10 0 0 0 0 18 14 32 4.44089209850063e-16
+10 0 0 0 0 18 16 32 4.44089209850063e-16
+10 0 0 0 0 18 18 32 4.44089209850063e-16
+10 0 0 0 0 18 20 32 4.44089209850063e-16
+10 0 0 0 0 18 22 32 4.44089209850063e-16
+10 0 0 0 0 18 24 32 4.44089209850063e-16
+10 0 0 0 0 18 26 32 4.44089209850063e-16
+10 0 0 0 0 18 28 32 4.44089209850063e-16
+10 0 0 0 0 18 30 32 4.44089209850063e-16
+10 0 0 0 0 18 32 32 4.44089209850063e-16
+10 0 0 0 0 18 34 32 4.44089209850063e-16
+10 0 0 0 0 18 36 32 4.44089209850063e-16
+10 0 0 0 0 18 38 32 4.44089209850063e-16
+10 0 0 0 0 18 40 32 4.44089209850063e-16
+10 0 0 0 0 18 42 32 4.44089209850063e-16
+10 0 0 0 0 18 44 32 4.44089209850063e-16
+10 0 0 0 0 18 46 32 4.44089209850063e-16
+10 0 0 0 0 18 48 32 4.44089209850063e-16
+10 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 4.44089209850063e-16
+11 0 1 0 0 18 14 32 4.44089209850063e-16
+11 0 1 0 0 18 15 32 4.44089209850063e-16
+11 0 1 0 0 18 16 32 4.44089209850063e-16
+11 0 1 0 0 18 17 32 4.44089209850063e-16
+11 0 1 0 0 18 18 32 4.44089209850063e-16
+11 0 1 0 0 18 19 32 4.44089209850063e-16
+11 0 1 0 0 18 20 32 4.44089209850063e-16
+11 0 1 0 0 18 21 32 4.44089209850063e-16
+11 0 1 0 0 18 22 32 4.44089209850063e-16
+11 0 1 0 0 18 23 32 4.44089209850063e-16
+11 0 1 0 0 18 24 32 4.44089209850063e-16
+11 0 1 0 0 18 25 32 4.44089209850063e-16
+11 0 1 0 0 18 26 32 4.44089209850063e-16
+11 0 1 0 0 18 27 32 4.44089209850063e-16
+11 0 1 0 0 18 28 32 4.44089209850063e-16
+11 0 1 0 0 18 29 32 4.44089209850063e-16
+11 0 1 0 0 18 30 32 4.44089209850063e-16
+11 0 1 0 0 18 31 32 4.44089209850063e-16
+11 0 1 0 0 18 32 32 4.44089209850063e-16
+11 0 1 0 0 18 33 32 4.44089209850063e-16
+11 0 1 0 0 18 34 32 4.44089209850063e-16
+11 0 1 0 0 18 35 32 4.44089209850063e-16
+11 0 1 0 0 18 36 32 4.44089209850063e-16
+11 0 1 0 0 18 37 32 4.44089209850063e-16
+11 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 4.44089209850063e-16
+12 0 1 0 0 18 14 32 4.44089209850063e-16
+12 0 1 0 0 18 15 32 4.44089209850063e-16
+12 0 1 0 0 18 16 32 4.44089209850063e-16
+12 0 1 0 0 18 17 32 4.44089209850063e-16
+12 0 1 0 0 18 18 32 4.44089209850063e-16
+12 0 1 0 0 18 19 32 4.44089209850063e-16
+12 0 1 0 0 18 20 32 4.44089209850063e-16
+12 0 1 0 0 18 21 32 4.44089209850063e-16
+12 0 1 0 0 18 22 32 4.44089209850063e-16
+12 0 1 0 0 18 23 32 4.44089209850063e-16
+12 0 1 0 0 18 24 32 4.44089209850063e-16
+12 0 1 0 0 18 25 32 4.44089209850063e-16
+12 0 1 0 0 18 26 32 4.44089209850063e-16
+12 0 1 0 0 18 27 32 4.44089209850063e-16
+12 0 1 0 0 18 28 32 4.44089209850063e-16
+12 0 1 0 0 18 29 32 4.44089209850063e-16
+12 0 1 0 0 18 30 32 4.44089209850063e-16
+12 0 1 0 0 18 31 32 4.44089209850063e-16
+12 0 1 0 0 18 32 32 4.44089209850063e-16
+12 0 1 0 0 18 33 32 4.44089209850063e-16
+12 0 1 0 0 18 34 32 4.44089209850063e-16
+12 0 1 0 0 18 35 32 4.44089209850063e-16
+12 0 1 0 0 18 36 32 4.44089209850063e-16
+12 0 1 0 0 18 37 32 4.44089209850063e-16
+12 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 4.44089209850063e-16
+12 0 0 0 0 18 2 32 4.44089209850063e-16
+12 0 0 0 0 18 4 32 4.44089209850063e-16
+12 0 0 0 0 18 6 32 4.44089209850063e-16
+12 0 0 0 0 18 8 32 4.44089209850063e-16
+12 0 0 0 0 18 10 32 4.44089209850063e-16
+12 0 0 0 0 18 12 32 4.44089209850063e-16
+12 0 0 0 0 18 14 32 4.44089209850063e-16
+12 0 0 0 0 18 16 32 4.44089209850063e-16
+12 0 0 0 0 18 18 32 4.44089209850063e-16
+12 0 0 0 0 18 20 32 4.44089209850063e-16
+12 0 0 0 0 18 22 32 4.44089209850063e-16
+12 0 0 0 0 18 24 32 4.44089209850063e-16
+12 0 0 0 0 18 26 32 4.44089209850063e-16
+12 0 0 0 0 18 28 32 4.44089209850063e-16
+12 0 0 0 0 18 30 32 4.44089209850063e-16
+12 0 0 0 0 18 32 32 4.44089209850063e-16
+12 0 0 0 0 18 34 32 4.44089209850063e-16
+12 0 0 0 0 18 36 32 4.44089209850063e-16
+12 0 0 0 0 18 38 32 4.44089209850063e-16
+12 0 0 0 0 18 40 32 4.44089209850063e-16
+12 0 0 0 0 18 42 32 4.44089209850063e-16
+12 0 0 0 0 18 44 32 4.44089209850063e-16
+12 0 0 0 0 18 46 32 4.44089209850063e-16
+12 0 0 0 0 18 48 32 4.44089209850063e-16
+12 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_x.zl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_x.zl
new file mode 100644
index 000000000..2a73fe1f2
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_x.zl
@@ -0,0 +1,782 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 4.44089209850063e-16
+0 0 1 0 0 18 24 18 4.44089209850063e-16
+0 0 1 0 0 18 24 19 4.44089209850063e-16
+0 0 1 0 0 18 24 20 4.44089209850063e-16
+0 0 1 0 0 18 24 21 4.44089209850063e-16
+0 0 1 0 0 18 24 22 4.44089209850063e-16
+0 0 1 0 0 18 24 23 4.44089209850063e-16
+0 0 1 0 0 18 24 24 4.44089209850063e-16
+0 0 1 0 0 18 24 25 4.44089209850063e-16
+0 0 1 0 0 18 24 26 4.44089209850063e-16
+0 0 1 0 0 18 24 27 4.44089209850063e-16
+0 0 1 0 0 18 24 28 4.44089209850063e-16
+0 0 1 0 0 18 24 29 4.44089209850063e-16
+0 0 1 0 0 18 24 30 4.44089209850063e-16
+0 0 1 0 0 18 24 31 4.44089209850063e-16
+0 0 1 0 0 18 24 32 4.44089209850063e-16
+0 0 1 0 0 18 24 33 4.44089209850063e-16
+0 0 1 0 0 18 24 34 4.44089209850063e-16
+0 0 1 0 0 18 24 35 4.44089209850063e-16
+0 0 1 0 0 18 24 36 4.44089209850063e-16
+0 0 1 0 0 18 24 37 4.44089209850063e-16
+0 0 1 0 0 18 24 38 4.44089209850063e-16
+0 0 1 0 0 18 24 39 4.44089209850063e-16
+0 0 1 0 0 18 24 40 4.44089209850063e-16
+0 0 1 0 0 18 24 41 4.44089209850063e-16
+0 0 1 0 0 18 24 42 4.44089209850063e-16
+0 0 1 0 0 18 24 43 4.44089209850063e-16
+0 0 1 0 0 18 24 44 4.44089209850063e-16
+0 0 1 0 0 18 24 45 4.44089209850063e-16
+0 0 1 0 0 18 24 46 4.44089209850063e-16
+0 0 1 0 0 18 24 47 4.44089209850063e-16
+0 0 1 0 0 18 24 48 4.44089209850063e-16
+0 0 1 0 0 18 24 49 4.44089209850063e-16
+0 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 4.44089209850063e-16
+0 0 0 0 0 18 24 2 4.44089209850063e-16
+0 0 0 0 0 18 24 4 4.44089209850063e-16
+0 0 0 0 0 18 24 6 4.44089209850063e-16
+0 0 0 0 0 18 24 8 4.44089209850063e-16
+0 0 0 0 0 18 24 10 4.44089209850063e-16
+0 0 0 0 0 18 24 12 4.44089209850063e-16
+0 0 0 0 0 18 24 14 4.44089209850063e-16
+0 0 0 0 0 18 24 16 4.44089209850063e-16
+0 0 0 0 0 18 24 18 4.44089209850063e-16
+0 0 0 0 0 18 24 20 4.44089209850063e-16
+0 0 0 0 0 18 24 22 4.44089209850063e-16
+0 0 0 0 0 18 24 24 4.44089209850063e-16
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+0 0 0 0 0 18 24 28 4.44089209850063e-16
+0 0 0 0 0 18 24 30 4.44089209850063e-16
+0 0 0 0 0 18 24 32 4.44089209850063e-16
+0 0 0 0 0 18 24 34 4.44089209850063e-16
+0 0 0 0 0 18 24 36 4.44089209850063e-16
+0 0 0 0 0 18 24 38 4.44089209850063e-16
+0 0 0 0 0 18 24 40 4.44089209850063e-16
+0 0 0 0 0 18 24 42 4.44089209850063e-16
+0 0 0 0 0 18 24 44 4.44089209850063e-16
+0 0 0 0 0 18 24 46 4.44089209850063e-16
+0 0 0 0 0 18 24 48 4.44089209850063e-16
+0 0 0 0 0 18 24 50 4.44089209850063e-16
+0 0 0 0 0 18 24 52 4.44089209850063e-16
+0 0 0 0 0 18 24 54 4.44089209850063e-16
+0 0 0 0 0 18 24 56 4.44089209850063e-16
+0 0 0 0 0 18 24 58 4.44089209850063e-16
+0 0 0 0 0 18 24 60 4.44089209850063e-16
+0 0 0 0 0 18 24 62 4.44089209850063e-16
+0 0 0 0 0 18 24 64 4.44089209850063e-16
+0 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 4.44089209850063e-16
+1 0 1 0 0 18 24 18 4.44089209850063e-16
+1 0 1 0 0 18 24 19 4.44089209850063e-16
+1 0 1 0 0 18 24 20 4.44089209850063e-16
+1 0 1 0 0 18 24 21 4.44089209850063e-16
+1 0 1 0 0 18 24 22 4.44089209850063e-16
+1 0 1 0 0 18 24 23 4.44089209850063e-16
+1 0 1 0 0 18 24 24 4.44089209850063e-16
+1 0 1 0 0 18 24 25 4.44089209850063e-16
+1 0 1 0 0 18 24 26 4.44089209850063e-16
+1 0 1 0 0 18 24 27 4.44089209850063e-16
+1 0 1 0 0 18 24 28 4.44089209850063e-16
+1 0 1 0 0 18 24 29 4.44089209850063e-16
+1 0 1 0 0 18 24 30 4.44089209850063e-16
+1 0 1 0 0 18 24 31 4.44089209850063e-16
+1 0 1 0 0 18 24 32 4.44089209850063e-16
+1 0 1 0 0 18 24 33 4.44089209850063e-16
+1 0 1 0 0 18 24 34 4.44089209850063e-16
+1 0 1 0 0 18 24 35 4.44089209850063e-16
+1 0 1 0 0 18 24 36 4.44089209850063e-16
+1 0 1 0 0 18 24 37 4.44089209850063e-16
+1 0 1 0 0 18 24 38 4.44089209850063e-16
+1 0 1 0 0 18 24 39 4.44089209850063e-16
+1 0 1 0 0 18 24 40 4.44089209850063e-16
+1 0 1 0 0 18 24 41 4.44089209850063e-16
+1 0 1 0 0 18 24 42 4.44089209850063e-16
+1 0 1 0 0 18 24 43 4.44089209850063e-16
+1 0 1 0 0 18 24 44 4.44089209850063e-16
+1 0 1 0 0 18 24 45 4.44089209850063e-16
+1 0 1 0 0 18 24 46 4.44089209850063e-16
+1 0 1 0 0 18 24 47 4.44089209850063e-16
+1 0 1 0 0 18 24 48 4.44089209850063e-16
+1 0 1 0 0 18 24 49 4.44089209850063e-16
+1 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 4.44089209850063e-16
+2 0 1 0 0 18 24 18 4.44089209850063e-16
+2 0 1 0 0 18 24 19 4.44089209850063e-16
+2 0 1 0 0 18 24 20 4.44089209850063e-16
+2 0 1 0 0 18 24 21 4.44089209850063e-16
+2 0 1 0 0 18 24 22 4.44089209850063e-16
+2 0 1 0 0 18 24 23 4.44089209850063e-16
+2 0 1 0 0 18 24 24 4.44089209850063e-16
+2 0 1 0 0 18 24 25 4.44089209850063e-16
+2 0 1 0 0 18 24 26 4.44089209850063e-16
+2 0 1 0 0 18 24 27 4.44089209850063e-16
+2 0 1 0 0 18 24 28 4.44089209850063e-16
+2 0 1 0 0 18 24 29 4.44089209850063e-16
+2 0 1 0 0 18 24 30 4.44089209850063e-16
+2 0 1 0 0 18 24 31 4.44089209850063e-16
+2 0 1 0 0 18 24 32 4.44089209850063e-16
+2 0 1 0 0 18 24 33 4.44089209850063e-16
+2 0 1 0 0 18 24 34 4.44089209850063e-16
+2 0 1 0 0 18 24 35 4.44089209850063e-16
+2 0 1 0 0 18 24 36 4.44089209850063e-16
+2 0 1 0 0 18 24 37 4.44089209850063e-16
+2 0 1 0 0 18 24 38 4.44089209850063e-16
+2 0 1 0 0 18 24 39 4.44089209850063e-16
+2 0 1 0 0 18 24 40 4.44089209850063e-16
+2 0 1 0 0 18 24 41 4.44089209850063e-16
+2 0 1 0 0 18 24 42 4.44089209850063e-16
+2 0 1 0 0 18 24 43 4.44089209850063e-16
+2 0 1 0 0 18 24 44 4.44089209850063e-16
+2 0 1 0 0 18 24 45 4.44089209850063e-16
+2 0 1 0 0 18 24 46 4.44089209850063e-16
+2 0 1 0 0 18 24 47 4.44089209850063e-16
+2 0 1 0 0 18 24 48 4.44089209850063e-16
+2 0 1 0 0 18 24 49 4.44089209850063e-16
+2 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 4.44089209850063e-16
+2 0 0 0 0 18 24 2 4.44089209850063e-16
+2 0 0 0 0 18 24 4 4.44089209850063e-16
+2 0 0 0 0 18 24 6 4.44089209850063e-16
+2 0 0 0 0 18 24 8 4.44089209850063e-16
+2 0 0 0 0 18 24 10 4.44089209850063e-16
+2 0 0 0 0 18 24 12 4.44089209850063e-16
+2 0 0 0 0 18 24 14 4.44089209850063e-16
+2 0 0 0 0 18 24 16 4.44089209850063e-16
+2 0 0 0 0 18 24 18 4.44089209850063e-16
+2 0 0 0 0 18 24 20 4.44089209850063e-16
+2 0 0 0 0 18 24 22 4.44089209850063e-16
+2 0 0 0 0 18 24 24 4.44089209850063e-16
+2 0 0 0 0 18 24 26 4.44089209850063e-16
+2 0 0 0 0 18 24 28 4.44089209850063e-16
+2 0 0 0 0 18 24 30 4.44089209850063e-16
+2 0 0 0 0 18 24 32 4.44089209850063e-16
+2 0 0 0 0 18 24 34 4.44089209850063e-16
+2 0 0 0 0 18 24 36 4.44089209850063e-16
+2 0 0 0 0 18 24 38 4.44089209850063e-16
+2 0 0 0 0 18 24 40 4.44089209850063e-16
+2 0 0 0 0 18 24 42 4.44089209850063e-16
+2 0 0 0 0 18 24 44 4.44089209850063e-16
+2 0 0 0 0 18 24 46 4.44089209850063e-16
+2 0 0 0 0 18 24 48 4.44089209850063e-16
+2 0 0 0 0 18 24 50 4.44089209850063e-16
+2 0 0 0 0 18 24 52 4.44089209850063e-16
+2 0 0 0 0 18 24 54 4.44089209850063e-16
+2 0 0 0 0 18 24 56 4.44089209850063e-16
+2 0 0 0 0 18 24 58 4.44089209850063e-16
+2 0 0 0 0 18 24 60 4.44089209850063e-16
+2 0 0 0 0 18 24 62 4.44089209850063e-16
+2 0 0 0 0 18 24 64 4.44089209850063e-16
+2 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 4.44089209850063e-16
+3 0 1 0 0 18 24 18 4.44089209850063e-16
+3 0 1 0 0 18 24 19 4.44089209850063e-16
+3 0 1 0 0 18 24 20 4.44089209850063e-16
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+3 0 1 0 0 18 24 22 4.44089209850063e-16
+3 0 1 0 0 18 24 23 4.44089209850063e-16
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+3 0 1 0 0 18 24 26 4.44089209850063e-16
+3 0 1 0 0 18 24 27 4.44089209850063e-16
+3 0 1 0 0 18 24 28 4.44089209850063e-16
+3 0 1 0 0 18 24 29 4.44089209850063e-16
+3 0 1 0 0 18 24 30 4.44089209850063e-16
+3 0 1 0 0 18 24 31 4.44089209850063e-16
+3 0 1 0 0 18 24 32 4.44089209850063e-16
+3 0 1 0 0 18 24 33 4.44089209850063e-16
+3 0 1 0 0 18 24 34 4.44089209850063e-16
+3 0 1 0 0 18 24 35 4.44089209850063e-16
+3 0 1 0 0 18 24 36 4.44089209850063e-16
+3 0 1 0 0 18 24 37 4.44089209850063e-16
+3 0 1 0 0 18 24 38 4.44089209850063e-16
+3 0 1 0 0 18 24 39 4.44089209850063e-16
+3 0 1 0 0 18 24 40 4.44089209850063e-16
+3 0 1 0 0 18 24 41 4.44089209850063e-16
+3 0 1 0 0 18 24 42 4.44089209850063e-16
+3 0 1 0 0 18 24 43 4.44089209850063e-16
+3 0 1 0 0 18 24 44 4.44089209850063e-16
+3 0 1 0 0 18 24 45 4.44089209850063e-16
+3 0 1 0 0 18 24 46 4.44089209850063e-16
+3 0 1 0 0 18 24 47 4.44089209850063e-16
+3 0 1 0 0 18 24 48 4.44089209850063e-16
+3 0 1 0 0 18 24 49 4.44089209850063e-16
+3 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 4.44089209850063e-16
+4 0 1 0 0 18 24 18 4.44089209850063e-16
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+4 0 1 0 0 18 24 49 4.44089209850063e-16
+4 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 4.44089209850063e-16
+4 0 0 0 0 18 24 2 4.44089209850063e-16
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+4 0 0 0 0 18 24 64 4.44089209850063e-16
+4 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 4.44089209850063e-16
+5 0 1 0 0 18 24 18 4.44089209850063e-16
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+5 0 1 0 0 18 24 49 4.44089209850063e-16
+5 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 4.44089209850063e-16
+6 0 1 0 0 18 24 18 4.44089209850063e-16
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+6 0 1 0 0 18 24 49 4.44089209850063e-16
+6 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 4.44089209850063e-16
+6 0 0 0 0 18 24 2 4.44089209850063e-16
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+6 0 0 0 0 18 24 64 4.44089209850063e-16
+6 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 4.44089209850063e-16
+7 0 1 0 0 18 24 18 4.44089209850063e-16
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+7 0 1 0 0 18 24 49 4.44089209850063e-16
+7 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 4.44089209850063e-16
+8 0 1 0 0 18 24 18 4.44089209850063e-16
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+8 0 1 0 0 18 24 49 4.44089209850063e-16
+8 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 4.44089209850063e-16
+8 0 0 0 0 18 24 2 4.44089209850063e-16
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+8 0 0 0 0 18 24 64 4.44089209850063e-16
+8 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 4.44089209850063e-16
+9 0 1 0 0 18 24 18 4.44089209850063e-16
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+9 0 1 0 0 18 24 49 4.44089209850063e-16
+9 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 4.44089209850063e-16
+10 0 1 0 0 18 24 18 4.44089209850063e-16
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+10 0 1 0 0 18 24 43 4.44089209850063e-16
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+10 0 1 0 0 18 24 45 4.44089209850063e-16
+10 0 1 0 0 18 24 46 4.44089209850063e-16
+10 0 1 0 0 18 24 47 4.44089209850063e-16
+10 0 1 0 0 18 24 48 4.44089209850063e-16
+10 0 1 0 0 18 24 49 4.44089209850063e-16
+10 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 4.44089209850063e-16
+10 0 0 0 0 18 24 2 4.44089209850063e-16
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+10 0 0 0 0 18 24 6 4.44089209850063e-16
+10 0 0 0 0 18 24 8 4.44089209850063e-16
+10 0 0 0 0 18 24 10 4.44089209850063e-16
+10 0 0 0 0 18 24 12 4.44089209850063e-16
+10 0 0 0 0 18 24 14 4.44089209850063e-16
+10 0 0 0 0 18 24 16 4.44089209850063e-16
+10 0 0 0 0 18 24 18 4.44089209850063e-16
+10 0 0 0 0 18 24 20 4.44089209850063e-16
+10 0 0 0 0 18 24 22 4.44089209850063e-16
+10 0 0 0 0 18 24 24 4.44089209850063e-16
+10 0 0 0 0 18 24 26 4.44089209850063e-16
+10 0 0 0 0 18 24 28 4.44089209850063e-16
+10 0 0 0 0 18 24 30 4.44089209850063e-16
+10 0 0 0 0 18 24 32 4.44089209850063e-16
+10 0 0 0 0 18 24 34 4.44089209850063e-16
+10 0 0 0 0 18 24 36 4.44089209850063e-16
+10 0 0 0 0 18 24 38 4.44089209850063e-16
+10 0 0 0 0 18 24 40 4.44089209850063e-16
+10 0 0 0 0 18 24 42 4.44089209850063e-16
+10 0 0 0 0 18 24 44 4.44089209850063e-16
+10 0 0 0 0 18 24 46 4.44089209850063e-16
+10 0 0 0 0 18 24 48 4.44089209850063e-16
+10 0 0 0 0 18 24 50 4.44089209850063e-16
+10 0 0 0 0 18 24 52 4.44089209850063e-16
+10 0 0 0 0 18 24 54 4.44089209850063e-16
+10 0 0 0 0 18 24 56 4.44089209850063e-16
+10 0 0 0 0 18 24 58 4.44089209850063e-16
+10 0 0 0 0 18 24 60 4.44089209850063e-16
+10 0 0 0 0 18 24 62 4.44089209850063e-16
+10 0 0 0 0 18 24 64 4.44089209850063e-16
+10 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 4.44089209850063e-16
+11 0 1 0 0 18 24 18 4.44089209850063e-16
+11 0 1 0 0 18 24 19 4.44089209850063e-16
+11 0 1 0 0 18 24 20 4.44089209850063e-16
+11 0 1 0 0 18 24 21 4.44089209850063e-16
+11 0 1 0 0 18 24 22 4.44089209850063e-16
+11 0 1 0 0 18 24 23 4.44089209850063e-16
+11 0 1 0 0 18 24 24 4.44089209850063e-16
+11 0 1 0 0 18 24 25 4.44089209850063e-16
+11 0 1 0 0 18 24 26 4.44089209850063e-16
+11 0 1 0 0 18 24 27 4.44089209850063e-16
+11 0 1 0 0 18 24 28 4.44089209850063e-16
+11 0 1 0 0 18 24 29 4.44089209850063e-16
+11 0 1 0 0 18 24 30 4.44089209850063e-16
+11 0 1 0 0 18 24 31 4.44089209850063e-16
+11 0 1 0 0 18 24 32 4.44089209850063e-16
+11 0 1 0 0 18 24 33 4.44089209850063e-16
+11 0 1 0 0 18 24 34 4.44089209850063e-16
+11 0 1 0 0 18 24 35 4.44089209850063e-16
+11 0 1 0 0 18 24 36 4.44089209850063e-16
+11 0 1 0 0 18 24 37 4.44089209850063e-16
+11 0 1 0 0 18 24 38 4.44089209850063e-16
+11 0 1 0 0 18 24 39 4.44089209850063e-16
+11 0 1 0 0 18 24 40 4.44089209850063e-16
+11 0 1 0 0 18 24 41 4.44089209850063e-16
+11 0 1 0 0 18 24 42 4.44089209850063e-16
+11 0 1 0 0 18 24 43 4.44089209850063e-16
+11 0 1 0 0 18 24 44 4.44089209850063e-16
+11 0 1 0 0 18 24 45 4.44089209850063e-16
+11 0 1 0 0 18 24 46 4.44089209850063e-16
+11 0 1 0 0 18 24 47 4.44089209850063e-16
+11 0 1 0 0 18 24 48 4.44089209850063e-16
+11 0 1 0 0 18 24 49 4.44089209850063e-16
+11 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 4.44089209850063e-16
+12 0 1 0 0 18 24 18 4.44089209850063e-16
+12 0 1 0 0 18 24 19 4.44089209850063e-16
+12 0 1 0 0 18 24 20 4.44089209850063e-16
+12 0 1 0 0 18 24 21 4.44089209850063e-16
+12 0 1 0 0 18 24 22 4.44089209850063e-16
+12 0 1 0 0 18 24 23 4.44089209850063e-16
+12 0 1 0 0 18 24 24 4.44089209850063e-16
+12 0 1 0 0 18 24 25 4.44089209850063e-16
+12 0 1 0 0 18 24 26 4.44089209850063e-16
+12 0 1 0 0 18 24 27 4.44089209850063e-16
+12 0 1 0 0 18 24 28 4.44089209850063e-16
+12 0 1 0 0 18 24 29 4.44089209850063e-16
+12 0 1 0 0 18 24 30 4.44089209850063e-16
+12 0 1 0 0 18 24 31 4.44089209850063e-16
+12 0 1 0 0 18 24 32 4.44089209850063e-16
+12 0 1 0 0 18 24 33 4.44089209850063e-16
+12 0 1 0 0 18 24 34 4.44089209850063e-16
+12 0 1 0 0 18 24 35 4.44089209850063e-16
+12 0 1 0 0 18 24 36 4.44089209850063e-16
+12 0 1 0 0 18 24 37 4.44089209850063e-16
+12 0 1 0 0 18 24 38 4.44089209850063e-16
+12 0 1 0 0 18 24 39 4.44089209850063e-16
+12 0 1 0 0 18 24 40 4.44089209850063e-16
+12 0 1 0 0 18 24 41 4.44089209850063e-16
+12 0 1 0 0 18 24 42 4.44089209850063e-16
+12 0 1 0 0 18 24 43 4.44089209850063e-16
+12 0 1 0 0 18 24 44 4.44089209850063e-16
+12 0 1 0 0 18 24 45 4.44089209850063e-16
+12 0 1 0 0 18 24 46 4.44089209850063e-16
+12 0 1 0 0 18 24 47 4.44089209850063e-16
+12 0 1 0 0 18 24 48 4.44089209850063e-16
+12 0 1 0 0 18 24 49 4.44089209850063e-16
+12 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 4.44089209850063e-16
+12 0 0 0 0 18 24 2 4.44089209850063e-16
+12 0 0 0 0 18 24 4 4.44089209850063e-16
+12 0 0 0 0 18 24 6 4.44089209850063e-16
+12 0 0 0 0 18 24 8 4.44089209850063e-16
+12 0 0 0 0 18 24 10 4.44089209850063e-16
+12 0 0 0 0 18 24 12 4.44089209850063e-16
+12 0 0 0 0 18 24 14 4.44089209850063e-16
+12 0 0 0 0 18 24 16 4.44089209850063e-16
+12 0 0 0 0 18 24 18 4.44089209850063e-16
+12 0 0 0 0 18 24 20 4.44089209850063e-16
+12 0 0 0 0 18 24 22 4.44089209850063e-16
+12 0 0 0 0 18 24 24 4.44089209850063e-16
+12 0 0 0 0 18 24 26 4.44089209850063e-16
+12 0 0 0 0 18 24 28 4.44089209850063e-16
+12 0 0 0 0 18 24 30 4.44089209850063e-16
+12 0 0 0 0 18 24 32 4.44089209850063e-16
+12 0 0 0 0 18 24 34 4.44089209850063e-16
+12 0 0 0 0 18 24 36 4.44089209850063e-16
+12 0 0 0 0 18 24 38 4.44089209850063e-16
+12 0 0 0 0 18 24 40 4.44089209850063e-16
+12 0 0 0 0 18 24 42 4.44089209850063e-16
+12 0 0 0 0 18 24 44 4.44089209850063e-16
+12 0 0 0 0 18 24 46 4.44089209850063e-16
+12 0 0 0 0 18 24 48 4.44089209850063e-16
+12 0 0 0 0 18 24 50 4.44089209850063e-16
+12 0 0 0 0 18 24 52 4.44089209850063e-16
+12 0 0 0 0 18 24 54 4.44089209850063e-16
+12 0 0 0 0 18 24 56 4.44089209850063e-16
+12 0 0 0 0 18 24 58 4.44089209850063e-16
+12 0 0 0 0 18 24 60 4.44089209850063e-16
+12 0 0 0 0 18 24 62 4.44089209850063e-16
+12 0 0 0 0 18 24 64 4.44089209850063e-16
+12 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_y.xl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_y.xl
new file mode 100644
index 000000000..463d316c5
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_y.xl
@@ -0,0 +1,482 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -4.44089209850063e-16
+0 0 1 0 0 10 24 32 -4.44089209850063e-16
+0 0 1 0 0 11 24 32 -4.44089209850063e-16
+0 0 1 0 0 12 24 32 -4.44089209850063e-16
+0 0 1 0 0 13 24 32 -4.44089209850063e-16
+0 0 1 0 0 14 24 32 -4.44089209850063e-16
+0 0 1 0 0 15 24 32 -4.44089209850063e-16
+0 0 1 0 0 16 24 32 -4.44089209850063e-16
+0 0 1 0 0 17 24 32 -4.44089209850063e-16
+0 0 1 0 0 18 24 32 -4.44089209850063e-16
+0 0 1 0 0 19 24 32 -4.44089209850063e-16
+0 0 1 0 0 20 24 32 -4.44089209850063e-16
+0 0 1 0 0 21 24 32 -4.44089209850063e-16
+0 0 1 0 0 22 24 32 -4.44089209850063e-16
+0 0 1 0 0 23 24 32 -4.44089209850063e-16
+0 0 1 0 0 24 24 32 -4.44089209850063e-16
+0 0 1 0 0 25 24 32 -4.44089209850063e-16
+0 0 1 0 0 26 24 32 -4.44089209850063e-16
+0 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -4.44089209850063e-16
+0 0 0 0 0 2 24 32 -4.44089209850063e-16
+0 0 0 0 0 4 24 32 -4.44089209850063e-16
+0 0 0 0 0 6 24 32 -4.44089209850063e-16
+0 0 0 0 0 8 24 32 -4.44089209850063e-16
+0 0 0 0 0 10 24 32 -4.44089209850063e-16
+0 0 0 0 0 12 24 32 -4.44089209850063e-16
+0 0 0 0 0 14 24 32 -4.44089209850063e-16
+0 0 0 0 0 16 24 32 -4.44089209850063e-16
+0 0 0 0 0 18 24 32 -4.44089209850063e-16
+0 0 0 0 0 20 24 32 -4.44089209850063e-16
+0 0 0 0 0 22 24 32 -4.44089209850063e-16
+0 0 0 0 0 24 24 32 -4.44089209850063e-16
+0 0 0 0 0 26 24 32 -4.44089209850063e-16
+0 0 0 0 0 28 24 32 -4.44089209850063e-16
+0 0 0 0 0 30 24 32 -4.44089209850063e-16
+0 0 0 0 0 32 24 32 -4.44089209850063e-16
+0 0 0 0 0 34 24 32 -4.44089209850063e-16
+0 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -4.44089209850063e-16
+1 0 1 0 0 10 24 32 -4.44089209850063e-16
+1 0 1 0 0 11 24 32 -4.44089209850063e-16
+1 0 1 0 0 12 24 32 -4.44089209850063e-16
+1 0 1 0 0 13 24 32 -4.44089209850063e-16
+1 0 1 0 0 14 24 32 -4.44089209850063e-16
+1 0 1 0 0 15 24 32 -4.44089209850063e-16
+1 0 1 0 0 16 24 32 -4.44089209850063e-16
+1 0 1 0 0 17 24 32 -4.44089209850063e-16
+1 0 1 0 0 18 24 32 -4.44089209850063e-16
+1 0 1 0 0 19 24 32 -4.44089209850063e-16
+1 0 1 0 0 20 24 32 -4.44089209850063e-16
+1 0 1 0 0 21 24 32 -4.44089209850063e-16
+1 0 1 0 0 22 24 32 -4.44089209850063e-16
+1 0 1 0 0 23 24 32 -4.44089209850063e-16
+1 0 1 0 0 24 24 32 -4.44089209850063e-16
+1 0 1 0 0 25 24 32 -4.44089209850063e-16
+1 0 1 0 0 26 24 32 -4.44089209850063e-16
+1 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 -4.44089209850063e-16
+2 0 1 0 0 10 24 32 -4.44089209850063e-16
+2 0 1 0 0 11 24 32 -4.44089209850063e-16
+2 0 1 0 0 12 24 32 -4.44089209850063e-16
+2 0 1 0 0 13 24 32 -4.44089209850063e-16
+2 0 1 0 0 14 24 32 -4.44089209850063e-16
+2 0 1 0 0 15 24 32 -4.44089209850063e-16
+2 0 1 0 0 16 24 32 -4.44089209850063e-16
+2 0 1 0 0 17 24 32 -4.44089209850063e-16
+2 0 1 0 0 18 24 32 -4.44089209850063e-16
+2 0 1 0 0 19 24 32 -4.44089209850063e-16
+2 0 1 0 0 20 24 32 -4.44089209850063e-16
+2 0 1 0 0 21 24 32 -4.44089209850063e-16
+2 0 1 0 0 22 24 32 -4.44089209850063e-16
+2 0 1 0 0 23 24 32 -4.44089209850063e-16
+2 0 1 0 0 24 24 32 -4.44089209850063e-16
+2 0 1 0 0 25 24 32 -4.44089209850063e-16
+2 0 1 0 0 26 24 32 -4.44089209850063e-16
+2 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -4.44089209850063e-16
+2 0 0 0 0 2 24 32 -4.44089209850063e-16
+2 0 0 0 0 4 24 32 -4.44089209850063e-16
+2 0 0 0 0 6 24 32 -4.44089209850063e-16
+2 0 0 0 0 8 24 32 -4.44089209850063e-16
+2 0 0 0 0 10 24 32 -4.44089209850063e-16
+2 0 0 0 0 12 24 32 -4.44089209850063e-16
+2 0 0 0 0 14 24 32 -4.44089209850063e-16
+2 0 0 0 0 16 24 32 -4.44089209850063e-16
+2 0 0 0 0 18 24 32 -4.44089209850063e-16
+2 0 0 0 0 20 24 32 -4.44089209850063e-16
+2 0 0 0 0 22 24 32 -4.44089209850063e-16
+2 0 0 0 0 24 24 32 -4.44089209850063e-16
+2 0 0 0 0 26 24 32 -4.44089209850063e-16
+2 0 0 0 0 28 24 32 -4.44089209850063e-16
+2 0 0 0 0 30 24 32 -4.44089209850063e-16
+2 0 0 0 0 32 24 32 -4.44089209850063e-16
+2 0 0 0 0 34 24 32 -4.44089209850063e-16
+2 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 -4.44089209850063e-16
+3 0 1 0 0 10 24 32 -4.44089209850063e-16
+3 0 1 0 0 11 24 32 -4.44089209850063e-16
+3 0 1 0 0 12 24 32 -4.44089209850063e-16
+3 0 1 0 0 13 24 32 -4.44089209850063e-16
+3 0 1 0 0 14 24 32 -4.44089209850063e-16
+3 0 1 0 0 15 24 32 -4.44089209850063e-16
+3 0 1 0 0 16 24 32 -4.44089209850063e-16
+3 0 1 0 0 17 24 32 -4.44089209850063e-16
+3 0 1 0 0 18 24 32 -4.44089209850063e-16
+3 0 1 0 0 19 24 32 -4.44089209850063e-16
+3 0 1 0 0 20 24 32 -4.44089209850063e-16
+3 0 1 0 0 21 24 32 -4.44089209850063e-16
+3 0 1 0 0 22 24 32 -4.44089209850063e-16
+3 0 1 0 0 23 24 32 -4.44089209850063e-16
+3 0 1 0 0 24 24 32 -4.44089209850063e-16
+3 0 1 0 0 25 24 32 -4.44089209850063e-16
+3 0 1 0 0 26 24 32 -4.44089209850063e-16
+3 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 -4.44089209850063e-16
+4 0 1 0 0 10 24 32 -4.44089209850063e-16
+4 0 1 0 0 11 24 32 -4.44089209850063e-16
+4 0 1 0 0 12 24 32 -4.44089209850063e-16
+4 0 1 0 0 13 24 32 -4.44089209850063e-16
+4 0 1 0 0 14 24 32 -4.44089209850063e-16
+4 0 1 0 0 15 24 32 -4.44089209850063e-16
+4 0 1 0 0 16 24 32 -4.44089209850063e-16
+4 0 1 0 0 17 24 32 -4.44089209850063e-16
+4 0 1 0 0 18 24 32 -4.44089209850063e-16
+4 0 1 0 0 19 24 32 -4.44089209850063e-16
+4 0 1 0 0 20 24 32 -4.44089209850063e-16
+4 0 1 0 0 21 24 32 -4.44089209850063e-16
+4 0 1 0 0 22 24 32 -4.44089209850063e-16
+4 0 1 0 0 23 24 32 -4.44089209850063e-16
+4 0 1 0 0 24 24 32 -4.44089209850063e-16
+4 0 1 0 0 25 24 32 -4.44089209850063e-16
+4 0 1 0 0 26 24 32 -4.44089209850063e-16
+4 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -4.44089209850063e-16
+4 0 0 0 0 2 24 32 -4.44089209850063e-16
+4 0 0 0 0 4 24 32 -4.44089209850063e-16
+4 0 0 0 0 6 24 32 -4.44089209850063e-16
+4 0 0 0 0 8 24 32 -4.44089209850063e-16
+4 0 0 0 0 10 24 32 -4.44089209850063e-16
+4 0 0 0 0 12 24 32 -4.44089209850063e-16
+4 0 0 0 0 14 24 32 -4.44089209850063e-16
+4 0 0 0 0 16 24 32 -4.44089209850063e-16
+4 0 0 0 0 18 24 32 -4.44089209850063e-16
+4 0 0 0 0 20 24 32 -4.44089209850063e-16
+4 0 0 0 0 22 24 32 -4.44089209850063e-16
+4 0 0 0 0 24 24 32 -4.44089209850063e-16
+4 0 0 0 0 26 24 32 -4.44089209850063e-16
+4 0 0 0 0 28 24 32 -4.44089209850063e-16
+4 0 0 0 0 30 24 32 -4.44089209850063e-16
+4 0 0 0 0 32 24 32 -4.44089209850063e-16
+4 0 0 0 0 34 24 32 -4.44089209850063e-16
+4 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 -4.44089209850063e-16
+5 0 1 0 0 10 24 32 -4.44089209850063e-16
+5 0 1 0 0 11 24 32 -4.44089209850063e-16
+5 0 1 0 0 12 24 32 -4.44089209850063e-16
+5 0 1 0 0 13 24 32 -4.44089209850063e-16
+5 0 1 0 0 14 24 32 -4.44089209850063e-16
+5 0 1 0 0 15 24 32 -4.44089209850063e-16
+5 0 1 0 0 16 24 32 -4.44089209850063e-16
+5 0 1 0 0 17 24 32 -4.44089209850063e-16
+5 0 1 0 0 18 24 32 -4.44089209850063e-16
+5 0 1 0 0 19 24 32 -4.44089209850063e-16
+5 0 1 0 0 20 24 32 -4.44089209850063e-16
+5 0 1 0 0 21 24 32 -4.44089209850063e-16
+5 0 1 0 0 22 24 32 -4.44089209850063e-16
+5 0 1 0 0 23 24 32 -4.44089209850063e-16
+5 0 1 0 0 24 24 32 -4.44089209850063e-16
+5 0 1 0 0 25 24 32 -4.44089209850063e-16
+5 0 1 0 0 26 24 32 -4.44089209850063e-16
+5 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 -4.44089209850063e-16
+6 0 1 0 0 10 24 32 -4.44089209850063e-16
+6 0 1 0 0 11 24 32 -4.44089209850063e-16
+6 0 1 0 0 12 24 32 -4.44089209850063e-16
+6 0 1 0 0 13 24 32 -4.44089209850063e-16
+6 0 1 0 0 14 24 32 -4.44089209850063e-16
+6 0 1 0 0 15 24 32 -4.44089209850063e-16
+6 0 1 0 0 16 24 32 -4.44089209850063e-16
+6 0 1 0 0 17 24 32 -4.44089209850063e-16
+6 0 1 0 0 18 24 32 -4.44089209850063e-16
+6 0 1 0 0 19 24 32 -4.44089209850063e-16
+6 0 1 0 0 20 24 32 -4.44089209850063e-16
+6 0 1 0 0 21 24 32 -4.44089209850063e-16
+6 0 1 0 0 22 24 32 -4.44089209850063e-16
+6 0 1 0 0 23 24 32 -4.44089209850063e-16
+6 0 1 0 0 24 24 32 -4.44089209850063e-16
+6 0 1 0 0 25 24 32 -4.44089209850063e-16
+6 0 1 0 0 26 24 32 -4.44089209850063e-16
+6 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -4.44089209850063e-16
+6 0 0 0 0 2 24 32 -4.44089209850063e-16
+6 0 0 0 0 4 24 32 -4.44089209850063e-16
+6 0 0 0 0 6 24 32 -4.44089209850063e-16
+6 0 0 0 0 8 24 32 -4.44089209850063e-16
+6 0 0 0 0 10 24 32 -4.44089209850063e-16
+6 0 0 0 0 12 24 32 -4.44089209850063e-16
+6 0 0 0 0 14 24 32 -4.44089209850063e-16
+6 0 0 0 0 16 24 32 -4.44089209850063e-16
+6 0 0 0 0 18 24 32 -4.44089209850063e-16
+6 0 0 0 0 20 24 32 -4.44089209850063e-16
+6 0 0 0 0 22 24 32 -4.44089209850063e-16
+6 0 0 0 0 24 24 32 -4.44089209850063e-16
+6 0 0 0 0 26 24 32 -4.44089209850063e-16
+6 0 0 0 0 28 24 32 -4.44089209850063e-16
+6 0 0 0 0 30 24 32 -4.44089209850063e-16
+6 0 0 0 0 32 24 32 -4.44089209850063e-16
+6 0 0 0 0 34 24 32 -4.44089209850063e-16
+6 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 -4.44089209850063e-16
+7 0 1 0 0 10 24 32 -4.44089209850063e-16
+7 0 1 0 0 11 24 32 -4.44089209850063e-16
+7 0 1 0 0 12 24 32 -4.44089209850063e-16
+7 0 1 0 0 13 24 32 -4.44089209850063e-16
+7 0 1 0 0 14 24 32 -4.44089209850063e-16
+7 0 1 0 0 15 24 32 -4.44089209850063e-16
+7 0 1 0 0 16 24 32 -4.44089209850063e-16
+7 0 1 0 0 17 24 32 -4.44089209850063e-16
+7 0 1 0 0 18 24 32 -4.44089209850063e-16
+7 0 1 0 0 19 24 32 -4.44089209850063e-16
+7 0 1 0 0 20 24 32 -4.44089209850063e-16
+7 0 1 0 0 21 24 32 -4.44089209850063e-16
+7 0 1 0 0 22 24 32 -4.44089209850063e-16
+7 0 1 0 0 23 24 32 -4.44089209850063e-16
+7 0 1 0 0 24 24 32 -4.44089209850063e-16
+7 0 1 0 0 25 24 32 -4.44089209850063e-16
+7 0 1 0 0 26 24 32 -4.44089209850063e-16
+7 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 -4.44089209850063e-16
+8 0 1 0 0 10 24 32 -4.44089209850063e-16
+8 0 1 0 0 11 24 32 -4.44089209850063e-16
+8 0 1 0 0 12 24 32 -4.44089209850063e-16
+8 0 1 0 0 13 24 32 -4.44089209850063e-16
+8 0 1 0 0 14 24 32 -4.44089209850063e-16
+8 0 1 0 0 15 24 32 -4.44089209850063e-16
+8 0 1 0 0 16 24 32 -4.44089209850063e-16
+8 0 1 0 0 17 24 32 -4.44089209850063e-16
+8 0 1 0 0 18 24 32 -4.44089209850063e-16
+8 0 1 0 0 19 24 32 -4.44089209850063e-16
+8 0 1 0 0 20 24 32 -4.44089209850063e-16
+8 0 1 0 0 21 24 32 -4.44089209850063e-16
+8 0 1 0 0 22 24 32 -4.44089209850063e-16
+8 0 1 0 0 23 24 32 -4.44089209850063e-16
+8 0 1 0 0 24 24 32 -4.44089209850063e-16
+8 0 1 0 0 25 24 32 -4.44089209850063e-16
+8 0 1 0 0 26 24 32 -4.44089209850063e-16
+8 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -4.44089209850063e-16
+8 0 0 0 0 2 24 32 -4.44089209850063e-16
+8 0 0 0 0 4 24 32 -4.44089209850063e-16
+8 0 0 0 0 6 24 32 -4.44089209850063e-16
+8 0 0 0 0 8 24 32 -4.44089209850063e-16
+8 0 0 0 0 10 24 32 -4.44089209850063e-16
+8 0 0 0 0 12 24 32 -4.44089209850063e-16
+8 0 0 0 0 14 24 32 -4.44089209850063e-16
+8 0 0 0 0 16 24 32 -4.44089209850063e-16
+8 0 0 0 0 18 24 32 -4.44089209850063e-16
+8 0 0 0 0 20 24 32 -4.44089209850063e-16
+8 0 0 0 0 22 24 32 -4.44089209850063e-16
+8 0 0 0 0 24 24 32 -4.44089209850063e-16
+8 0 0 0 0 26 24 32 -4.44089209850063e-16
+8 0 0 0 0 28 24 32 -4.44089209850063e-16
+8 0 0 0 0 30 24 32 -4.44089209850063e-16
+8 0 0 0 0 32 24 32 -4.44089209850063e-16
+8 0 0 0 0 34 24 32 -4.44089209850063e-16
+8 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 -4.44089209850063e-16
+9 0 1 0 0 10 24 32 -4.44089209850063e-16
+9 0 1 0 0 11 24 32 -4.44089209850063e-16
+9 0 1 0 0 12 24 32 -4.44089209850063e-16
+9 0 1 0 0 13 24 32 -4.44089209850063e-16
+9 0 1 0 0 14 24 32 -4.44089209850063e-16
+9 0 1 0 0 15 24 32 -4.44089209850063e-16
+9 0 1 0 0 16 24 32 -4.44089209850063e-16
+9 0 1 0 0 17 24 32 -4.44089209850063e-16
+9 0 1 0 0 18 24 32 -4.44089209850063e-16
+9 0 1 0 0 19 24 32 -4.44089209850063e-16
+9 0 1 0 0 20 24 32 -4.44089209850063e-16
+9 0 1 0 0 21 24 32 -4.44089209850063e-16
+9 0 1 0 0 22 24 32 -4.44089209850063e-16
+9 0 1 0 0 23 24 32 -4.44089209850063e-16
+9 0 1 0 0 24 24 32 -4.44089209850063e-16
+9 0 1 0 0 25 24 32 -4.44089209850063e-16
+9 0 1 0 0 26 24 32 -4.44089209850063e-16
+9 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 -4.44089209850063e-16
+10 0 1 0 0 10 24 32 -4.44089209850063e-16
+10 0 1 0 0 11 24 32 -4.44089209850063e-16
+10 0 1 0 0 12 24 32 -4.44089209850063e-16
+10 0 1 0 0 13 24 32 -4.44089209850063e-16
+10 0 1 0 0 14 24 32 -4.44089209850063e-16
+10 0 1 0 0 15 24 32 -4.44089209850063e-16
+10 0 1 0 0 16 24 32 -4.44089209850063e-16
+10 0 1 0 0 17 24 32 -4.44089209850063e-16
+10 0 1 0 0 18 24 32 -4.44089209850063e-16
+10 0 1 0 0 19 24 32 -4.44089209850063e-16
+10 0 1 0 0 20 24 32 -4.44089209850063e-16
+10 0 1 0 0 21 24 32 -4.44089209850063e-16
+10 0 1 0 0 22 24 32 -4.44089209850063e-16
+10 0 1 0 0 23 24 32 -4.44089209850063e-16
+10 0 1 0 0 24 24 32 -4.44089209850063e-16
+10 0 1 0 0 25 24 32 -4.44089209850063e-16
+10 0 1 0 0 26 24 32 -4.44089209850063e-16
+10 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -4.44089209850063e-16
+10 0 0 0 0 2 24 32 -4.44089209850063e-16
+10 0 0 0 0 4 24 32 -4.44089209850063e-16
+10 0 0 0 0 6 24 32 -4.44089209850063e-16
+10 0 0 0 0 8 24 32 -4.44089209850063e-16
+10 0 0 0 0 10 24 32 -4.44089209850063e-16
+10 0 0 0 0 12 24 32 -4.44089209850063e-16
+10 0 0 0 0 14 24 32 -4.44089209850063e-16
+10 0 0 0 0 16 24 32 -4.44089209850063e-16
+10 0 0 0 0 18 24 32 -4.44089209850063e-16
+10 0 0 0 0 20 24 32 -4.44089209850063e-16
+10 0 0 0 0 22 24 32 -4.44089209850063e-16
+10 0 0 0 0 24 24 32 -4.44089209850063e-16
+10 0 0 0 0 26 24 32 -4.44089209850063e-16
+10 0 0 0 0 28 24 32 -4.44089209850063e-16
+10 0 0 0 0 30 24 32 -4.44089209850063e-16
+10 0 0 0 0 32 24 32 -4.44089209850063e-16
+10 0 0 0 0 34 24 32 -4.44089209850063e-16
+10 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 -4.44089209850063e-16
+11 0 1 0 0 10 24 32 -4.44089209850063e-16
+11 0 1 0 0 11 24 32 -4.44089209850063e-16
+11 0 1 0 0 12 24 32 -4.44089209850063e-16
+11 0 1 0 0 13 24 32 -4.44089209850063e-16
+11 0 1 0 0 14 24 32 -4.44089209850063e-16
+11 0 1 0 0 15 24 32 -4.44089209850063e-16
+11 0 1 0 0 16 24 32 -4.44089209850063e-16
+11 0 1 0 0 17 24 32 -4.44089209850063e-16
+11 0 1 0 0 18 24 32 -4.44089209850063e-16
+11 0 1 0 0 19 24 32 -4.44089209850063e-16
+11 0 1 0 0 20 24 32 -4.44089209850063e-16
+11 0 1 0 0 21 24 32 -4.44089209850063e-16
+11 0 1 0 0 22 24 32 -4.44089209850063e-16
+11 0 1 0 0 23 24 32 -4.44089209850063e-16
+11 0 1 0 0 24 24 32 -4.44089209850063e-16
+11 0 1 0 0 25 24 32 -4.44089209850063e-16
+11 0 1 0 0 26 24 32 -4.44089209850063e-16
+11 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 -4.44089209850063e-16
+12 0 1 0 0 10 24 32 -4.44089209850063e-16
+12 0 1 0 0 11 24 32 -4.44089209850063e-16
+12 0 1 0 0 12 24 32 -4.44089209850063e-16
+12 0 1 0 0 13 24 32 -4.44089209850063e-16
+12 0 1 0 0 14 24 32 -4.44089209850063e-16
+12 0 1 0 0 15 24 32 -4.44089209850063e-16
+12 0 1 0 0 16 24 32 -4.44089209850063e-16
+12 0 1 0 0 17 24 32 -4.44089209850063e-16
+12 0 1 0 0 18 24 32 -4.44089209850063e-16
+12 0 1 0 0 19 24 32 -4.44089209850063e-16
+12 0 1 0 0 20 24 32 -4.44089209850063e-16
+12 0 1 0 0 21 24 32 -4.44089209850063e-16
+12 0 1 0 0 22 24 32 -4.44089209850063e-16
+12 0 1 0 0 23 24 32 -4.44089209850063e-16
+12 0 1 0 0 24 24 32 -4.44089209850063e-16
+12 0 1 0 0 25 24 32 -4.44089209850063e-16
+12 0 1 0 0 26 24 32 -4.44089209850063e-16
+12 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -4.44089209850063e-16
+12 0 0 0 0 2 24 32 -4.44089209850063e-16
+12 0 0 0 0 4 24 32 -4.44089209850063e-16
+12 0 0 0 0 6 24 32 -4.44089209850063e-16
+12 0 0 0 0 8 24 32 -4.44089209850063e-16
+12 0 0 0 0 10 24 32 -4.44089209850063e-16
+12 0 0 0 0 12 24 32 -4.44089209850063e-16
+12 0 0 0 0 14 24 32 -4.44089209850063e-16
+12 0 0 0 0 16 24 32 -4.44089209850063e-16
+12 0 0 0 0 18 24 32 -4.44089209850063e-16
+12 0 0 0 0 20 24 32 -4.44089209850063e-16
+12 0 0 0 0 22 24 32 -4.44089209850063e-16
+12 0 0 0 0 24 24 32 -4.44089209850063e-16
+12 0 0 0 0 26 24 32 -4.44089209850063e-16
+12 0 0 0 0 28 24 32 -4.44089209850063e-16
+12 0 0 0 0 30 24 32 -4.44089209850063e-16
+12 0 0 0 0 32 24 32 -4.44089209850063e-16
+12 0 0 0 0 34 24 32 -4.44089209850063e-16
+12 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_y.yl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_y.yl
new file mode 100644
index 000000000..6f89efa80
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_y.yl
@@ -0,0 +1,622 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -3.3
+0 0 1 0 0 18 14 32 -3
+0 0 1 0 0 18 15 32 -2.7
+0 0 1 0 0 18 16 32 -2.4
+0 0 1 0 0 18 17 32 -2.1
+0 0 1 0 0 18 18 32 -1.8
+0 0 1 0 0 18 19 32 -1.5
+0 0 1 0 0 18 20 32 -1.2
+0 0 1 0 0 18 21 32 -0.9
+0 0 1 0 0 18 22 32 -0.6
+0 0 1 0 0 18 23 32 -0.3
+0 0 1 0 0 18 24 32 -4.44089209850063e-16
+0 0 1 0 0 18 25 32 0.3
+0 0 1 0 0 18 26 32 0.6
+0 0 1 0 0 18 27 32 0.899999999999999
+0 0 1 0 0 18 28 32 1.2
+0 0 1 0 0 18 29 32 1.5
+0 0 1 0 0 18 30 32 1.8
+0 0 1 0 0 18 31 32 2.1
+0 0 1 0 0 18 32 32 2.4
+0 0 1 0 0 18 33 32 2.7
+0 0 1 0 0 18 34 32 3
+0 0 1 0 0 18 35 32 3.3
+0 0 1 0 0 18 36 32 3.6
+0 0 1 0 0 18 37 32 3.9
+0 0 1 0 0 18 38 32 4.2
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -7.2
+0 0 0 0 0 18 2 32 -6.6
+0 0 0 0 0 18 4 32 -6
+0 0 0 0 0 18 6 32 -5.4
+0 0 0 0 0 18 8 32 -4.8
+0 0 0 0 0 18 10 32 -4.2
+0 0 0 0 0 18 12 32 -3.6
+0 0 0 0 0 18 14 32 -3
+0 0 0 0 0 18 16 32 -2.4
+0 0 0 0 0 18 18 32 -1.8
+0 0 0 0 0 18 20 32 -1.2
+0 0 0 0 0 18 22 32 -0.6
+0 0 0 0 0 18 24 32 -4.44089209850063e-16
+0 0 0 0 0 18 26 32 0.6
+0 0 0 0 0 18 28 32 1.2
+0 0 0 0 0 18 30 32 1.8
+0 0 0 0 0 18 32 32 2.4
+0 0 0 0 0 18 34 32 3
+0 0 0 0 0 18 36 32 3.6
+0 0 0 0 0 18 38 32 4.2
+0 0 0 0 0 18 40 32 4.8
+0 0 0 0 0 18 42 32 5.4
+0 0 0 0 0 18 44 32 6
+0 0 0 0 0 18 46 32 6.6
+0 0 0 0 0 18 48 32 7.2
+0 0 0 0 0 18 50 32 7.8
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 -3.3
+1 0 1 0 0 18 14 32 -3
+1 0 1 0 0 18 15 32 -2.7
+1 0 1 0 0 18 16 32 -2.4
+1 0 1 0 0 18 17 32 -2.1
+1 0 1 0 0 18 18 32 -1.8
+1 0 1 0 0 18 19 32 -1.5
+1 0 1 0 0 18 20 32 -1.2
+1 0 1 0 0 18 21 32 -0.9
+1 0 1 0 0 18 22 32 -0.6
+1 0 1 0 0 18 23 32 -0.3
+1 0 1 0 0 18 24 32 -4.44089209850063e-16
+1 0 1 0 0 18 25 32 0.3
+1 0 1 0 0 18 26 32 0.6
+1 0 1 0 0 18 27 32 0.899999999999999
+1 0 1 0 0 18 28 32 1.2
+1 0 1 0 0 18 29 32 1.5
+1 0 1 0 0 18 30 32 1.8
+1 0 1 0 0 18 31 32 2.1
+1 0 1 0 0 18 32 32 2.4
+1 0 1 0 0 18 33 32 2.7
+1 0 1 0 0 18 34 32 3
+1 0 1 0 0 18 35 32 3.3
+1 0 1 0 0 18 36 32 3.6
+1 0 1 0 0 18 37 32 3.9
+1 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 -3.3
+2 0 1 0 0 18 14 32 -3
+2 0 1 0 0 18 15 32 -2.7
+2 0 1 0 0 18 16 32 -2.4
+2 0 1 0 0 18 17 32 -2.1
+2 0 1 0 0 18 18 32 -1.8
+2 0 1 0 0 18 19 32 -1.5
+2 0 1 0 0 18 20 32 -1.2
+2 0 1 0 0 18 21 32 -0.9
+2 0 1 0 0 18 22 32 -0.6
+2 0 1 0 0 18 23 32 -0.3
+2 0 1 0 0 18 24 32 -4.44089209850063e-16
+2 0 1 0 0 18 25 32 0.3
+2 0 1 0 0 18 26 32 0.6
+2 0 1 0 0 18 27 32 0.899999999999999
+2 0 1 0 0 18 28 32 1.2
+2 0 1 0 0 18 29 32 1.5
+2 0 1 0 0 18 30 32 1.8
+2 0 1 0 0 18 31 32 2.1
+2 0 1 0 0 18 32 32 2.4
+2 0 1 0 0 18 33 32 2.7
+2 0 1 0 0 18 34 32 3
+2 0 1 0 0 18 35 32 3.3
+2 0 1 0 0 18 36 32 3.6
+2 0 1 0 0 18 37 32 3.9
+2 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 -7.2
+2 0 0 0 0 18 2 32 -6.6
+2 0 0 0 0 18 4 32 -6
+2 0 0 0 0 18 6 32 -5.4
+2 0 0 0 0 18 8 32 -4.8
+2 0 0 0 0 18 10 32 -4.2
+2 0 0 0 0 18 12 32 -3.6
+2 0 0 0 0 18 14 32 -3
+2 0 0 0 0 18 16 32 -2.4
+2 0 0 0 0 18 18 32 -1.8
+2 0 0 0 0 18 20 32 -1.2
+2 0 0 0 0 18 22 32 -0.6
+2 0 0 0 0 18 24 32 -4.44089209850063e-16
+2 0 0 0 0 18 26 32 0.6
+2 0 0 0 0 18 28 32 1.2
+2 0 0 0 0 18 30 32 1.8
+2 0 0 0 0 18 32 32 2.4
+2 0 0 0 0 18 34 32 3
+2 0 0 0 0 18 36 32 3.6
+2 0 0 0 0 18 38 32 4.2
+2 0 0 0 0 18 40 32 4.8
+2 0 0 0 0 18 42 32 5.4
+2 0 0 0 0 18 44 32 6
+2 0 0 0 0 18 46 32 6.6
+2 0 0 0 0 18 48 32 7.2
+2 0 0 0 0 18 50 32 7.8
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 -3.3
+3 0 1 0 0 18 14 32 -3
+3 0 1 0 0 18 15 32 -2.7
+3 0 1 0 0 18 16 32 -2.4
+3 0 1 0 0 18 17 32 -2.1
+3 0 1 0 0 18 18 32 -1.8
+3 0 1 0 0 18 19 32 -1.5
+3 0 1 0 0 18 20 32 -1.2
+3 0 1 0 0 18 21 32 -0.9
+3 0 1 0 0 18 22 32 -0.6
+3 0 1 0 0 18 23 32 -0.3
+3 0 1 0 0 18 24 32 -4.44089209850063e-16
+3 0 1 0 0 18 25 32 0.3
+3 0 1 0 0 18 26 32 0.6
+3 0 1 0 0 18 27 32 0.899999999999999
+3 0 1 0 0 18 28 32 1.2
+3 0 1 0 0 18 29 32 1.5
+3 0 1 0 0 18 30 32 1.8
+3 0 1 0 0 18 31 32 2.1
+3 0 1 0 0 18 32 32 2.4
+3 0 1 0 0 18 33 32 2.7
+3 0 1 0 0 18 34 32 3
+3 0 1 0 0 18 35 32 3.3
+3 0 1 0 0 18 36 32 3.6
+3 0 1 0 0 18 37 32 3.9
+3 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 -3.3
+4 0 1 0 0 18 14 32 -3
+4 0 1 0 0 18 15 32 -2.7
+4 0 1 0 0 18 16 32 -2.4
+4 0 1 0 0 18 17 32 -2.1
+4 0 1 0 0 18 18 32 -1.8
+4 0 1 0 0 18 19 32 -1.5
+4 0 1 0 0 18 20 32 -1.2
+4 0 1 0 0 18 21 32 -0.9
+4 0 1 0 0 18 22 32 -0.6
+4 0 1 0 0 18 23 32 -0.3
+4 0 1 0 0 18 24 32 -4.44089209850063e-16
+4 0 1 0 0 18 25 32 0.3
+4 0 1 0 0 18 26 32 0.6
+4 0 1 0 0 18 27 32 0.899999999999999
+4 0 1 0 0 18 28 32 1.2
+4 0 1 0 0 18 29 32 1.5
+4 0 1 0 0 18 30 32 1.8
+4 0 1 0 0 18 31 32 2.1
+4 0 1 0 0 18 32 32 2.4
+4 0 1 0 0 18 33 32 2.7
+4 0 1 0 0 18 34 32 3
+4 0 1 0 0 18 35 32 3.3
+4 0 1 0 0 18 36 32 3.6
+4 0 1 0 0 18 37 32 3.9
+4 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 -7.2
+4 0 0 0 0 18 2 32 -6.6
+4 0 0 0 0 18 4 32 -6
+4 0 0 0 0 18 6 32 -5.4
+4 0 0 0 0 18 8 32 -4.8
+4 0 0 0 0 18 10 32 -4.2
+4 0 0 0 0 18 12 32 -3.6
+4 0 0 0 0 18 14 32 -3
+4 0 0 0 0 18 16 32 -2.4
+4 0 0 0 0 18 18 32 -1.8
+4 0 0 0 0 18 20 32 -1.2
+4 0 0 0 0 18 22 32 -0.6
+4 0 0 0 0 18 24 32 -4.44089209850063e-16
+4 0 0 0 0 18 26 32 0.6
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+4 0 0 0 0 18 32 32 2.4
+4 0 0 0 0 18 34 32 3
+4 0 0 0 0 18 36 32 3.6
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+4 0 0 0 0 18 40 32 4.8
+4 0 0 0 0 18 42 32 5.4
+4 0 0 0 0 18 44 32 6
+4 0 0 0 0 18 46 32 6.6
+4 0 0 0 0 18 48 32 7.2
+4 0 0 0 0 18 50 32 7.8
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 -3.3
+5 0 1 0 0 18 14 32 -3
+5 0 1 0 0 18 15 32 -2.7
+5 0 1 0 0 18 16 32 -2.4
+5 0 1 0 0 18 17 32 -2.1
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+5 0 1 0 0 18 35 32 3.3
+5 0 1 0 0 18 36 32 3.6
+5 0 1 0 0 18 37 32 3.9
+5 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 -3.3
+6 0 1 0 0 18 14 32 -3
+6 0 1 0 0 18 15 32 -2.7
+6 0 1 0 0 18 16 32 -2.4
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+6 0 1 0 0 18 35 32 3.3
+6 0 1 0 0 18 36 32 3.6
+6 0 1 0 0 18 37 32 3.9
+6 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 -7.2
+6 0 0 0 0 18 2 32 -6.6
+6 0 0 0 0 18 4 32 -6
+6 0 0 0 0 18 6 32 -5.4
+6 0 0 0 0 18 8 32 -4.8
+6 0 0 0 0 18 10 32 -4.2
+6 0 0 0 0 18 12 32 -3.6
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+6 0 0 0 0 18 20 32 -1.2
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+6 0 0 0 0 18 44 32 6
+6 0 0 0 0 18 46 32 6.6
+6 0 0 0 0 18 48 32 7.2
+6 0 0 0 0 18 50 32 7.8
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 -3.3
+7 0 1 0 0 18 14 32 -3
+7 0 1 0 0 18 15 32 -2.7
+7 0 1 0 0 18 16 32 -2.4
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+7 0 1 0 0 18 35 32 3.3
+7 0 1 0 0 18 36 32 3.6
+7 0 1 0 0 18 37 32 3.9
+7 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 -3.3
+8 0 1 0 0 18 14 32 -3
+8 0 1 0 0 18 15 32 -2.7
+8 0 1 0 0 18 16 32 -2.4
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+8 0 1 0 0 18 33 32 2.7
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+8 0 1 0 0 18 35 32 3.3
+8 0 1 0 0 18 36 32 3.6
+8 0 1 0 0 18 37 32 3.9
+8 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -7.2
+8 0 0 0 0 18 2 32 -6.6
+8 0 0 0 0 18 4 32 -6
+8 0 0 0 0 18 6 32 -5.4
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+8 0 0 0 0 18 44 32 6
+8 0 0 0 0 18 46 32 6.6
+8 0 0 0 0 18 48 32 7.2
+8 0 0 0 0 18 50 32 7.8
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 -3.3
+9 0 1 0 0 18 14 32 -3
+9 0 1 0 0 18 15 32 -2.7
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+9 0 1 0 0 18 35 32 3.3
+9 0 1 0 0 18 36 32 3.6
+9 0 1 0 0 18 37 32 3.9
+9 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 -3.3
+10 0 1 0 0 18 14 32 -3
+10 0 1 0 0 18 15 32 -2.7
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+10 0 1 0 0 18 25 32 0.3
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+10 0 1 0 0 18 33 32 2.7
+10 0 1 0 0 18 34 32 3
+10 0 1 0 0 18 35 32 3.3
+10 0 1 0 0 18 36 32 3.6
+10 0 1 0 0 18 37 32 3.9
+10 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -7.2
+10 0 0 0 0 18 2 32 -6.6
+10 0 0 0 0 18 4 32 -6
+10 0 0 0 0 18 6 32 -5.4
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+10 0 0 0 0 18 44 32 6
+10 0 0 0 0 18 46 32 6.6
+10 0 0 0 0 18 48 32 7.2
+10 0 0 0 0 18 50 32 7.8
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 -3.3
+11 0 1 0 0 18 14 32 -3
+11 0 1 0 0 18 15 32 -2.7
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+11 0 1 0 0 18 35 32 3.3
+11 0 1 0 0 18 36 32 3.6
+11 0 1 0 0 18 37 32 3.9
+11 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 -3.3
+12 0 1 0 0 18 14 32 -3
+12 0 1 0 0 18 15 32 -2.7
+12 0 1 0 0 18 16 32 -2.4
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+12 0 1 0 0 18 33 32 2.7
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+12 0 1 0 0 18 35 32 3.3
+12 0 1 0 0 18 36 32 3.6
+12 0 1 0 0 18 37 32 3.9
+12 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 -7.2
+12 0 0 0 0 18 2 32 -6.6
+12 0 0 0 0 18 4 32 -6
+12 0 0 0 0 18 6 32 -5.4
+12 0 0 0 0 18 8 32 -4.8
+12 0 0 0 0 18 10 32 -4.2
+12 0 0 0 0 18 12 32 -3.6
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+12 0 0 0 0 18 18 32 -1.8
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+12 0 0 0 0 18 26 32 0.6
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+12 0 0 0 0 18 30 32 1.8
+12 0 0 0 0 18 32 32 2.4
+12 0 0 0 0 18 34 32 3
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+12 0 0 0 0 18 38 32 4.2
+12 0 0 0 0 18 40 32 4.8
+12 0 0 0 0 18 42 32 5.4
+12 0 0 0 0 18 44 32 6
+12 0 0 0 0 18 46 32 6.6
+12 0 0 0 0 18 48 32 7.2
+12 0 0 0 0 18 50 32 7.8
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_y.zl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_y.zl
new file mode 100644
index 000000000..ef19addd3
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_y.zl
@@ -0,0 +1,782 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -4.44089209850063e-16
+0 0 1 0 0 18 24 18 -4.44089209850063e-16
+0 0 1 0 0 18 24 19 -4.44089209850063e-16
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+0 0 1 0 0 18 24 21 -4.44089209850063e-16
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+0 0 1 0 0 18 24 28 -4.44089209850063e-16
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+0 0 1 0 0 18 24 33 -4.44089209850063e-16
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+0 0 1 0 0 18 24 42 -4.44089209850063e-16
+0 0 1 0 0 18 24 43 -4.44089209850063e-16
+0 0 1 0 0 18 24 44 -4.44089209850063e-16
+0 0 1 0 0 18 24 45 -4.44089209850063e-16
+0 0 1 0 0 18 24 46 -4.44089209850063e-16
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+0 0 1 0 0 18 24 48 -4.44089209850063e-16
+0 0 1 0 0 18 24 49 -4.44089209850063e-16
+0 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 -4.44089209850063e-16
+0 0 0 0 0 18 24 2 -4.44089209850063e-16
+0 0 0 0 0 18 24 4 -4.44089209850063e-16
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+0 0 0 0 0 18 24 14 -4.44089209850063e-16
+0 0 0 0 0 18 24 16 -4.44089209850063e-16
+0 0 0 0 0 18 24 18 -4.44089209850063e-16
+0 0 0 0 0 18 24 20 -4.44089209850063e-16
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+0 0 0 0 0 18 24 24 -4.44089209850063e-16
+0 0 0 0 0 18 24 26 -4.44089209850063e-16
+0 0 0 0 0 18 24 28 -4.44089209850063e-16
+0 0 0 0 0 18 24 30 -4.44089209850063e-16
+0 0 0 0 0 18 24 32 -4.44089209850063e-16
+0 0 0 0 0 18 24 34 -4.44089209850063e-16
+0 0 0 0 0 18 24 36 -4.44089209850063e-16
+0 0 0 0 0 18 24 38 -4.44089209850063e-16
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+0 0 0 0 0 18 24 42 -4.44089209850063e-16
+0 0 0 0 0 18 24 44 -4.44089209850063e-16
+0 0 0 0 0 18 24 46 -4.44089209850063e-16
+0 0 0 0 0 18 24 48 -4.44089209850063e-16
+0 0 0 0 0 18 24 50 -4.44089209850063e-16
+0 0 0 0 0 18 24 52 -4.44089209850063e-16
+0 0 0 0 0 18 24 54 -4.44089209850063e-16
+0 0 0 0 0 18 24 56 -4.44089209850063e-16
+0 0 0 0 0 18 24 58 -4.44089209850063e-16
+0 0 0 0 0 18 24 60 -4.44089209850063e-16
+0 0 0 0 0 18 24 62 -4.44089209850063e-16
+0 0 0 0 0 18 24 64 -4.44089209850063e-16
+0 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -4.44089209850063e-16
+1 0 1 0 0 18 24 18 -4.44089209850063e-16
+1 0 1 0 0 18 24 19 -4.44089209850063e-16
+1 0 1 0 0 18 24 20 -4.44089209850063e-16
+1 0 1 0 0 18 24 21 -4.44089209850063e-16
+1 0 1 0 0 18 24 22 -4.44089209850063e-16
+1 0 1 0 0 18 24 23 -4.44089209850063e-16
+1 0 1 0 0 18 24 24 -4.44089209850063e-16
+1 0 1 0 0 18 24 25 -4.44089209850063e-16
+1 0 1 0 0 18 24 26 -4.44089209850063e-16
+1 0 1 0 0 18 24 27 -4.44089209850063e-16
+1 0 1 0 0 18 24 28 -4.44089209850063e-16
+1 0 1 0 0 18 24 29 -4.44089209850063e-16
+1 0 1 0 0 18 24 30 -4.44089209850063e-16
+1 0 1 0 0 18 24 31 -4.44089209850063e-16
+1 0 1 0 0 18 24 32 -4.44089209850063e-16
+1 0 1 0 0 18 24 33 -4.44089209850063e-16
+1 0 1 0 0 18 24 34 -4.44089209850063e-16
+1 0 1 0 0 18 24 35 -4.44089209850063e-16
+1 0 1 0 0 18 24 36 -4.44089209850063e-16
+1 0 1 0 0 18 24 37 -4.44089209850063e-16
+1 0 1 0 0 18 24 38 -4.44089209850063e-16
+1 0 1 0 0 18 24 39 -4.44089209850063e-16
+1 0 1 0 0 18 24 40 -4.44089209850063e-16
+1 0 1 0 0 18 24 41 -4.44089209850063e-16
+1 0 1 0 0 18 24 42 -4.44089209850063e-16
+1 0 1 0 0 18 24 43 -4.44089209850063e-16
+1 0 1 0 0 18 24 44 -4.44089209850063e-16
+1 0 1 0 0 18 24 45 -4.44089209850063e-16
+1 0 1 0 0 18 24 46 -4.44089209850063e-16
+1 0 1 0 0 18 24 47 -4.44089209850063e-16
+1 0 1 0 0 18 24 48 -4.44089209850063e-16
+1 0 1 0 0 18 24 49 -4.44089209850063e-16
+1 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -4.44089209850063e-16
+2 0 1 0 0 18 24 18 -4.44089209850063e-16
+2 0 1 0 0 18 24 19 -4.44089209850063e-16
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+2 0 1 0 0 18 24 49 -4.44089209850063e-16
+2 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 -4.44089209850063e-16
+2 0 0 0 0 18 24 2 -4.44089209850063e-16
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+2 0 0 0 0 18 24 64 -4.44089209850063e-16
+2 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -4.44089209850063e-16
+3 0 1 0 0 18 24 18 -4.44089209850063e-16
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+3 0 1 0 0 18 24 49 -4.44089209850063e-16
+3 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -4.44089209850063e-16
+4 0 1 0 0 18 24 18 -4.44089209850063e-16
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+4 0 1 0 0 18 24 49 -4.44089209850063e-16
+4 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 -4.44089209850063e-16
+4 0 0 0 0 18 24 2 -4.44089209850063e-16
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+4 0 0 0 0 18 24 64 -4.44089209850063e-16
+4 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -4.44089209850063e-16
+5 0 1 0 0 18 24 18 -4.44089209850063e-16
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+5 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -4.44089209850063e-16
+6 0 1 0 0 18 24 18 -4.44089209850063e-16
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+6 0 1 0 0 18 24 49 -4.44089209850063e-16
+6 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 -4.44089209850063e-16
+6 0 0 0 0 18 24 2 -4.44089209850063e-16
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+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -4.44089209850063e-16
+7 0 1 0 0 18 24 18 -4.44089209850063e-16
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+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -4.44089209850063e-16
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+8 0 1 0 0 18 24 49 -4.44089209850063e-16
+8 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 -4.44089209850063e-16
+8 0 0 0 0 18 24 2 -4.44089209850063e-16
+8 0 0 0 0 18 24 4 -4.44089209850063e-16
+8 0 0 0 0 18 24 6 -4.44089209850063e-16
+8 0 0 0 0 18 24 8 -4.44089209850063e-16
+8 0 0 0 0 18 24 10 -4.44089209850063e-16
+8 0 0 0 0 18 24 12 -4.44089209850063e-16
+8 0 0 0 0 18 24 14 -4.44089209850063e-16
+8 0 0 0 0 18 24 16 -4.44089209850063e-16
+8 0 0 0 0 18 24 18 -4.44089209850063e-16
+8 0 0 0 0 18 24 20 -4.44089209850063e-16
+8 0 0 0 0 18 24 22 -4.44089209850063e-16
+8 0 0 0 0 18 24 24 -4.44089209850063e-16
+8 0 0 0 0 18 24 26 -4.44089209850063e-16
+8 0 0 0 0 18 24 28 -4.44089209850063e-16
+8 0 0 0 0 18 24 30 -4.44089209850063e-16
+8 0 0 0 0 18 24 32 -4.44089209850063e-16
+8 0 0 0 0 18 24 34 -4.44089209850063e-16
+8 0 0 0 0 18 24 36 -4.44089209850063e-16
+8 0 0 0 0 18 24 38 -4.44089209850063e-16
+8 0 0 0 0 18 24 40 -4.44089209850063e-16
+8 0 0 0 0 18 24 42 -4.44089209850063e-16
+8 0 0 0 0 18 24 44 -4.44089209850063e-16
+8 0 0 0 0 18 24 46 -4.44089209850063e-16
+8 0 0 0 0 18 24 48 -4.44089209850063e-16
+8 0 0 0 0 18 24 50 -4.44089209850063e-16
+8 0 0 0 0 18 24 52 -4.44089209850063e-16
+8 0 0 0 0 18 24 54 -4.44089209850063e-16
+8 0 0 0 0 18 24 56 -4.44089209850063e-16
+8 0 0 0 0 18 24 58 -4.44089209850063e-16
+8 0 0 0 0 18 24 60 -4.44089209850063e-16
+8 0 0 0 0 18 24 62 -4.44089209850063e-16
+8 0 0 0 0 18 24 64 -4.44089209850063e-16
+8 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -4.44089209850063e-16
+9 0 1 0 0 18 24 18 -4.44089209850063e-16
+9 0 1 0 0 18 24 19 -4.44089209850063e-16
+9 0 1 0 0 18 24 20 -4.44089209850063e-16
+9 0 1 0 0 18 24 21 -4.44089209850063e-16
+9 0 1 0 0 18 24 22 -4.44089209850063e-16
+9 0 1 0 0 18 24 23 -4.44089209850063e-16
+9 0 1 0 0 18 24 24 -4.44089209850063e-16
+9 0 1 0 0 18 24 25 -4.44089209850063e-16
+9 0 1 0 0 18 24 26 -4.44089209850063e-16
+9 0 1 0 0 18 24 27 -4.44089209850063e-16
+9 0 1 0 0 18 24 28 -4.44089209850063e-16
+9 0 1 0 0 18 24 29 -4.44089209850063e-16
+9 0 1 0 0 18 24 30 -4.44089209850063e-16
+9 0 1 0 0 18 24 31 -4.44089209850063e-16
+9 0 1 0 0 18 24 32 -4.44089209850063e-16
+9 0 1 0 0 18 24 33 -4.44089209850063e-16
+9 0 1 0 0 18 24 34 -4.44089209850063e-16
+9 0 1 0 0 18 24 35 -4.44089209850063e-16
+9 0 1 0 0 18 24 36 -4.44089209850063e-16
+9 0 1 0 0 18 24 37 -4.44089209850063e-16
+9 0 1 0 0 18 24 38 -4.44089209850063e-16
+9 0 1 0 0 18 24 39 -4.44089209850063e-16
+9 0 1 0 0 18 24 40 -4.44089209850063e-16
+9 0 1 0 0 18 24 41 -4.44089209850063e-16
+9 0 1 0 0 18 24 42 -4.44089209850063e-16
+9 0 1 0 0 18 24 43 -4.44089209850063e-16
+9 0 1 0 0 18 24 44 -4.44089209850063e-16
+9 0 1 0 0 18 24 45 -4.44089209850063e-16
+9 0 1 0 0 18 24 46 -4.44089209850063e-16
+9 0 1 0 0 18 24 47 -4.44089209850063e-16
+9 0 1 0 0 18 24 48 -4.44089209850063e-16
+9 0 1 0 0 18 24 49 -4.44089209850063e-16
+9 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 -4.44089209850063e-16
+10 0 1 0 0 18 24 18 -4.44089209850063e-16
+10 0 1 0 0 18 24 19 -4.44089209850063e-16
+10 0 1 0 0 18 24 20 -4.44089209850063e-16
+10 0 1 0 0 18 24 21 -4.44089209850063e-16
+10 0 1 0 0 18 24 22 -4.44089209850063e-16
+10 0 1 0 0 18 24 23 -4.44089209850063e-16
+10 0 1 0 0 18 24 24 -4.44089209850063e-16
+10 0 1 0 0 18 24 25 -4.44089209850063e-16
+10 0 1 0 0 18 24 26 -4.44089209850063e-16
+10 0 1 0 0 18 24 27 -4.44089209850063e-16
+10 0 1 0 0 18 24 28 -4.44089209850063e-16
+10 0 1 0 0 18 24 29 -4.44089209850063e-16
+10 0 1 0 0 18 24 30 -4.44089209850063e-16
+10 0 1 0 0 18 24 31 -4.44089209850063e-16
+10 0 1 0 0 18 24 32 -4.44089209850063e-16
+10 0 1 0 0 18 24 33 -4.44089209850063e-16
+10 0 1 0 0 18 24 34 -4.44089209850063e-16
+10 0 1 0 0 18 24 35 -4.44089209850063e-16
+10 0 1 0 0 18 24 36 -4.44089209850063e-16
+10 0 1 0 0 18 24 37 -4.44089209850063e-16
+10 0 1 0 0 18 24 38 -4.44089209850063e-16
+10 0 1 0 0 18 24 39 -4.44089209850063e-16
+10 0 1 0 0 18 24 40 -4.44089209850063e-16
+10 0 1 0 0 18 24 41 -4.44089209850063e-16
+10 0 1 0 0 18 24 42 -4.44089209850063e-16
+10 0 1 0 0 18 24 43 -4.44089209850063e-16
+10 0 1 0 0 18 24 44 -4.44089209850063e-16
+10 0 1 0 0 18 24 45 -4.44089209850063e-16
+10 0 1 0 0 18 24 46 -4.44089209850063e-16
+10 0 1 0 0 18 24 47 -4.44089209850063e-16
+10 0 1 0 0 18 24 48 -4.44089209850063e-16
+10 0 1 0 0 18 24 49 -4.44089209850063e-16
+10 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 -4.44089209850063e-16
+10 0 0 0 0 18 24 2 -4.44089209850063e-16
+10 0 0 0 0 18 24 4 -4.44089209850063e-16
+10 0 0 0 0 18 24 6 -4.44089209850063e-16
+10 0 0 0 0 18 24 8 -4.44089209850063e-16
+10 0 0 0 0 18 24 10 -4.44089209850063e-16
+10 0 0 0 0 18 24 12 -4.44089209850063e-16
+10 0 0 0 0 18 24 14 -4.44089209850063e-16
+10 0 0 0 0 18 24 16 -4.44089209850063e-16
+10 0 0 0 0 18 24 18 -4.44089209850063e-16
+10 0 0 0 0 18 24 20 -4.44089209850063e-16
+10 0 0 0 0 18 24 22 -4.44089209850063e-16
+10 0 0 0 0 18 24 24 -4.44089209850063e-16
+10 0 0 0 0 18 24 26 -4.44089209850063e-16
+10 0 0 0 0 18 24 28 -4.44089209850063e-16
+10 0 0 0 0 18 24 30 -4.44089209850063e-16
+10 0 0 0 0 18 24 32 -4.44089209850063e-16
+10 0 0 0 0 18 24 34 -4.44089209850063e-16
+10 0 0 0 0 18 24 36 -4.44089209850063e-16
+10 0 0 0 0 18 24 38 -4.44089209850063e-16
+10 0 0 0 0 18 24 40 -4.44089209850063e-16
+10 0 0 0 0 18 24 42 -4.44089209850063e-16
+10 0 0 0 0 18 24 44 -4.44089209850063e-16
+10 0 0 0 0 18 24 46 -4.44089209850063e-16
+10 0 0 0 0 18 24 48 -4.44089209850063e-16
+10 0 0 0 0 18 24 50 -4.44089209850063e-16
+10 0 0 0 0 18 24 52 -4.44089209850063e-16
+10 0 0 0 0 18 24 54 -4.44089209850063e-16
+10 0 0 0 0 18 24 56 -4.44089209850063e-16
+10 0 0 0 0 18 24 58 -4.44089209850063e-16
+10 0 0 0 0 18 24 60 -4.44089209850063e-16
+10 0 0 0 0 18 24 62 -4.44089209850063e-16
+10 0 0 0 0 18 24 64 -4.44089209850063e-16
+10 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 -4.44089209850063e-16
+11 0 1 0 0 18 24 18 -4.44089209850063e-16
+11 0 1 0 0 18 24 19 -4.44089209850063e-16
+11 0 1 0 0 18 24 20 -4.44089209850063e-16
+11 0 1 0 0 18 24 21 -4.44089209850063e-16
+11 0 1 0 0 18 24 22 -4.44089209850063e-16
+11 0 1 0 0 18 24 23 -4.44089209850063e-16
+11 0 1 0 0 18 24 24 -4.44089209850063e-16
+11 0 1 0 0 18 24 25 -4.44089209850063e-16
+11 0 1 0 0 18 24 26 -4.44089209850063e-16
+11 0 1 0 0 18 24 27 -4.44089209850063e-16
+11 0 1 0 0 18 24 28 -4.44089209850063e-16
+11 0 1 0 0 18 24 29 -4.44089209850063e-16
+11 0 1 0 0 18 24 30 -4.44089209850063e-16
+11 0 1 0 0 18 24 31 -4.44089209850063e-16
+11 0 1 0 0 18 24 32 -4.44089209850063e-16
+11 0 1 0 0 18 24 33 -4.44089209850063e-16
+11 0 1 0 0 18 24 34 -4.44089209850063e-16
+11 0 1 0 0 18 24 35 -4.44089209850063e-16
+11 0 1 0 0 18 24 36 -4.44089209850063e-16
+11 0 1 0 0 18 24 37 -4.44089209850063e-16
+11 0 1 0 0 18 24 38 -4.44089209850063e-16
+11 0 1 0 0 18 24 39 -4.44089209850063e-16
+11 0 1 0 0 18 24 40 -4.44089209850063e-16
+11 0 1 0 0 18 24 41 -4.44089209850063e-16
+11 0 1 0 0 18 24 42 -4.44089209850063e-16
+11 0 1 0 0 18 24 43 -4.44089209850063e-16
+11 0 1 0 0 18 24 44 -4.44089209850063e-16
+11 0 1 0 0 18 24 45 -4.44089209850063e-16
+11 0 1 0 0 18 24 46 -4.44089209850063e-16
+11 0 1 0 0 18 24 47 -4.44089209850063e-16
+11 0 1 0 0 18 24 48 -4.44089209850063e-16
+11 0 1 0 0 18 24 49 -4.44089209850063e-16
+11 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 -4.44089209850063e-16
+12 0 1 0 0 18 24 18 -4.44089209850063e-16
+12 0 1 0 0 18 24 19 -4.44089209850063e-16
+12 0 1 0 0 18 24 20 -4.44089209850063e-16
+12 0 1 0 0 18 24 21 -4.44089209850063e-16
+12 0 1 0 0 18 24 22 -4.44089209850063e-16
+12 0 1 0 0 18 24 23 -4.44089209850063e-16
+12 0 1 0 0 18 24 24 -4.44089209850063e-16
+12 0 1 0 0 18 24 25 -4.44089209850063e-16
+12 0 1 0 0 18 24 26 -4.44089209850063e-16
+12 0 1 0 0 18 24 27 -4.44089209850063e-16
+12 0 1 0 0 18 24 28 -4.44089209850063e-16
+12 0 1 0 0 18 24 29 -4.44089209850063e-16
+12 0 1 0 0 18 24 30 -4.44089209850063e-16
+12 0 1 0 0 18 24 31 -4.44089209850063e-16
+12 0 1 0 0 18 24 32 -4.44089209850063e-16
+12 0 1 0 0 18 24 33 -4.44089209850063e-16
+12 0 1 0 0 18 24 34 -4.44089209850063e-16
+12 0 1 0 0 18 24 35 -4.44089209850063e-16
+12 0 1 0 0 18 24 36 -4.44089209850063e-16
+12 0 1 0 0 18 24 37 -4.44089209850063e-16
+12 0 1 0 0 18 24 38 -4.44089209850063e-16
+12 0 1 0 0 18 24 39 -4.44089209850063e-16
+12 0 1 0 0 18 24 40 -4.44089209850063e-16
+12 0 1 0 0 18 24 41 -4.44089209850063e-16
+12 0 1 0 0 18 24 42 -4.44089209850063e-16
+12 0 1 0 0 18 24 43 -4.44089209850063e-16
+12 0 1 0 0 18 24 44 -4.44089209850063e-16
+12 0 1 0 0 18 24 45 -4.44089209850063e-16
+12 0 1 0 0 18 24 46 -4.44089209850063e-16
+12 0 1 0 0 18 24 47 -4.44089209850063e-16
+12 0 1 0 0 18 24 48 -4.44089209850063e-16
+12 0 1 0 0 18 24 49 -4.44089209850063e-16
+12 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 -4.44089209850063e-16
+12 0 0 0 0 18 24 2 -4.44089209850063e-16
+12 0 0 0 0 18 24 4 -4.44089209850063e-16
+12 0 0 0 0 18 24 6 -4.44089209850063e-16
+12 0 0 0 0 18 24 8 -4.44089209850063e-16
+12 0 0 0 0 18 24 10 -4.44089209850063e-16
+12 0 0 0 0 18 24 12 -4.44089209850063e-16
+12 0 0 0 0 18 24 14 -4.44089209850063e-16
+12 0 0 0 0 18 24 16 -4.44089209850063e-16
+12 0 0 0 0 18 24 18 -4.44089209850063e-16
+12 0 0 0 0 18 24 20 -4.44089209850063e-16
+12 0 0 0 0 18 24 22 -4.44089209850063e-16
+12 0 0 0 0 18 24 24 -4.44089209850063e-16
+12 0 0 0 0 18 24 26 -4.44089209850063e-16
+12 0 0 0 0 18 24 28 -4.44089209850063e-16
+12 0 0 0 0 18 24 30 -4.44089209850063e-16
+12 0 0 0 0 18 24 32 -4.44089209850063e-16
+12 0 0 0 0 18 24 34 -4.44089209850063e-16
+12 0 0 0 0 18 24 36 -4.44089209850063e-16
+12 0 0 0 0 18 24 38 -4.44089209850063e-16
+12 0 0 0 0 18 24 40 -4.44089209850063e-16
+12 0 0 0 0 18 24 42 -4.44089209850063e-16
+12 0 0 0 0 18 24 44 -4.44089209850063e-16
+12 0 0 0 0 18 24 46 -4.44089209850063e-16
+12 0 0 0 0 18 24 48 -4.44089209850063e-16
+12 0 0 0 0 18 24 50 -4.44089209850063e-16
+12 0 0 0 0 18 24 52 -4.44089209850063e-16
+12 0 0 0 0 18 24 54 -4.44089209850063e-16
+12 0 0 0 0 18 24 56 -4.44089209850063e-16
+12 0 0 0 0 18 24 58 -4.44089209850063e-16
+12 0 0 0 0 18 24 60 -4.44089209850063e-16
+12 0 0 0 0 18 24 62 -4.44089209850063e-16
+12 0 0 0 0 18 24 64 -4.44089209850063e-16
+12 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_z.xl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_z.xl
new file mode 100644
index 000000000..fa9b8b7a7
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_z.xl
@@ -0,0 +1,482 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 0
+0 0 1 0 0 10 24 32 0
+0 0 1 0 0 11 24 32 0
+0 0 1 0 0 12 24 32 0
+0 0 1 0 0 13 24 32 0
+0 0 1 0 0 14 24 32 0
+0 0 1 0 0 15 24 32 0
+0 0 1 0 0 16 24 32 0
+0 0 1 0 0 17 24 32 0
+0 0 1 0 0 18 24 32 0
+0 0 1 0 0 19 24 32 0
+0 0 1 0 0 20 24 32 0
+0 0 1 0 0 21 24 32 0
+0 0 1 0 0 22 24 32 0
+0 0 1 0 0 23 24 32 0
+0 0 1 0 0 24 24 32 0
+0 0 1 0 0 25 24 32 0
+0 0 1 0 0 26 24 32 0
+0 0 1 0 0 27 24 32 0
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 0
+0 0 0 0 0 2 24 32 0
+0 0 0 0 0 4 24 32 0
+0 0 0 0 0 6 24 32 0
+0 0 0 0 0 8 24 32 0
+0 0 0 0 0 10 24 32 0
+0 0 0 0 0 12 24 32 0
+0 0 0 0 0 14 24 32 0
+0 0 0 0 0 16 24 32 0
+0 0 0 0 0 18 24 32 0
+0 0 0 0 0 20 24 32 0
+0 0 0 0 0 22 24 32 0
+0 0 0 0 0 24 24 32 0
+0 0 0 0 0 26 24 32 0
+0 0 0 0 0 28 24 32 0
+0 0 0 0 0 30 24 32 0
+0 0 0 0 0 32 24 32 0
+0 0 0 0 0 34 24 32 0
+0 0 0 0 0 36 24 32 0
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 0
+1 0 1 0 0 10 24 32 0
+1 0 1 0 0 11 24 32 0
+1 0 1 0 0 12 24 32 0
+1 0 1 0 0 13 24 32 0
+1 0 1 0 0 14 24 32 0
+1 0 1 0 0 15 24 32 0
+1 0 1 0 0 16 24 32 0
+1 0 1 0 0 17 24 32 0
+1 0 1 0 0 18 24 32 0
+1 0 1 0 0 19 24 32 0
+1 0 1 0 0 20 24 32 0
+1 0 1 0 0 21 24 32 0
+1 0 1 0 0 22 24 32 0
+1 0 1 0 0 23 24 32 0
+1 0 1 0 0 24 24 32 0
+1 0 1 0 0 25 24 32 0
+1 0 1 0 0 26 24 32 0
+1 0 1 0 0 27 24 32 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0
+2 0 1 0 0 10 24 32 0
+2 0 1 0 0 11 24 32 0
+2 0 1 0 0 12 24 32 0
+2 0 1 0 0 13 24 32 0
+2 0 1 0 0 14 24 32 0
+2 0 1 0 0 15 24 32 0
+2 0 1 0 0 16 24 32 0
+2 0 1 0 0 17 24 32 0
+2 0 1 0 0 18 24 32 0
+2 0 1 0 0 19 24 32 0
+2 0 1 0 0 20 24 32 0
+2 0 1 0 0 21 24 32 0
+2 0 1 0 0 22 24 32 0
+2 0 1 0 0 23 24 32 0
+2 0 1 0 0 24 24 32 0
+2 0 1 0 0 25 24 32 0
+2 0 1 0 0 26 24 32 0
+2 0 1 0 0 27 24 32 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 0
+2 0 0 0 0 2 24 32 0
+2 0 0 0 0 4 24 32 0
+2 0 0 0 0 6 24 32 0
+2 0 0 0 0 8 24 32 0
+2 0 0 0 0 10 24 32 0
+2 0 0 0 0 12 24 32 0
+2 0 0 0 0 14 24 32 0
+2 0 0 0 0 16 24 32 0
+2 0 0 0 0 18 24 32 0
+2 0 0 0 0 20 24 32 0
+2 0 0 0 0 22 24 32 0
+2 0 0 0 0 24 24 32 0
+2 0 0 0 0 26 24 32 0
+2 0 0 0 0 28 24 32 0
+2 0 0 0 0 30 24 32 0
+2 0 0 0 0 32 24 32 0
+2 0 0 0 0 34 24 32 0
+2 0 0 0 0 36 24 32 0
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0
+3 0 1 0 0 10 24 32 0
+3 0 1 0 0 11 24 32 0
+3 0 1 0 0 12 24 32 0
+3 0 1 0 0 13 24 32 0
+3 0 1 0 0 14 24 32 0
+3 0 1 0 0 15 24 32 0
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+3 0 1 0 0 24 24 32 0
+3 0 1 0 0 25 24 32 0
+3 0 1 0 0 26 24 32 0
+3 0 1 0 0 27 24 32 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0
+4 0 1 0 0 10 24 32 0
+4 0 1 0 0 11 24 32 0
+4 0 1 0 0 12 24 32 0
+4 0 1 0 0 13 24 32 0
+4 0 1 0 0 14 24 32 0
+4 0 1 0 0 15 24 32 0
+4 0 1 0 0 16 24 32 0
+4 0 1 0 0 17 24 32 0
+4 0 1 0 0 18 24 32 0
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+4 0 1 0 0 20 24 32 0
+4 0 1 0 0 21 24 32 0
+4 0 1 0 0 22 24 32 0
+4 0 1 0 0 23 24 32 0
+4 0 1 0 0 24 24 32 0
+4 0 1 0 0 25 24 32 0
+4 0 1 0 0 26 24 32 0
+4 0 1 0 0 27 24 32 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 0
+4 0 0 0 0 2 24 32 0
+4 0 0 0 0 4 24 32 0
+4 0 0 0 0 6 24 32 0
+4 0 0 0 0 8 24 32 0
+4 0 0 0 0 10 24 32 0
+4 0 0 0 0 12 24 32 0
+4 0 0 0 0 14 24 32 0
+4 0 0 0 0 16 24 32 0
+4 0 0 0 0 18 24 32 0
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+4 0 0 0 0 22 24 32 0
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+4 0 0 0 0 30 24 32 0
+4 0 0 0 0 32 24 32 0
+4 0 0 0 0 34 24 32 0
+4 0 0 0 0 36 24 32 0
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0
+5 0 1 0 0 10 24 32 0
+5 0 1 0 0 11 24 32 0
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+5 0 1 0 0 26 24 32 0
+5 0 1 0 0 27 24 32 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0
+6 0 1 0 0 10 24 32 0
+6 0 1 0 0 11 24 32 0
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+6 0 1 0 0 26 24 32 0
+6 0 1 0 0 27 24 32 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 0
+6 0 0 0 0 2 24 32 0
+6 0 0 0 0 4 24 32 0
+6 0 0 0 0 6 24 32 0
+6 0 0 0 0 8 24 32 0
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+6 0 0 0 0 32 24 32 0
+6 0 0 0 0 34 24 32 0
+6 0 0 0 0 36 24 32 0
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0
+7 0 1 0 0 10 24 32 0
+7 0 1 0 0 11 24 32 0
+7 0 1 0 0 12 24 32 0
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+7 0 1 0 0 26 24 32 0
+7 0 1 0 0 27 24 32 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0
+8 0 1 0 0 10 24 32 0
+8 0 1 0 0 11 24 32 0
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+8 0 1 0 0 24 24 32 0
+8 0 1 0 0 25 24 32 0
+8 0 1 0 0 26 24 32 0
+8 0 1 0 0 27 24 32 0
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 0
+8 0 0 0 0 2 24 32 0
+8 0 0 0 0 4 24 32 0
+8 0 0 0 0 6 24 32 0
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+8 0 0 0 0 32 24 32 0
+8 0 0 0 0 34 24 32 0
+8 0 0 0 0 36 24 32 0
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0
+9 0 1 0 0 10 24 32 0
+9 0 1 0 0 11 24 32 0
+9 0 1 0 0 12 24 32 0
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+9 0 1 0 0 25 24 32 0
+9 0 1 0 0 26 24 32 0
+9 0 1 0 0 27 24 32 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0
+10 0 1 0 0 10 24 32 0
+10 0 1 0 0 11 24 32 0
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+10 0 1 0 0 26 24 32 0
+10 0 1 0 0 27 24 32 0
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 0
+10 0 0 0 0 2 24 32 0
+10 0 0 0 0 4 24 32 0
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+10 0 0 0 0 34 24 32 0
+10 0 0 0 0 36 24 32 0
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0
+11 0 1 0 0 10 24 32 0
+11 0 1 0 0 11 24 32 0
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+11 0 1 0 0 27 24 32 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 0
+12 0 1 0 0 10 24 32 0
+12 0 1 0 0 11 24 32 0
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+12 0 1 0 0 26 24 32 0
+12 0 1 0 0 27 24 32 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 0
+12 0 0 0 0 2 24 32 0
+12 0 0 0 0 4 24 32 0
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+12 0 0 0 0 34 24 32 0
+12 0 0 0 0 36 24 32 0
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_z.yl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_z.yl
new file mode 100644
index 000000000..f6a4a5589
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_z.yl
@@ -0,0 +1,622 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 0
+0 0 1 0 0 18 14 32 0
+0 0 1 0 0 18 15 32 0
+0 0 1 0 0 18 16 32 0
+0 0 1 0 0 18 17 32 0
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+0 0 1 0 0 18 36 32 0
+0 0 1 0 0 18 37 32 0
+0 0 1 0 0 18 38 32 0
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 0
+0 0 0 0 0 18 2 32 0
+0 0 0 0 0 18 4 32 0
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+0 0 0 0 0 18 48 32 0
+0 0 0 0 0 18 50 32 0
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0
+1 0 1 0 0 18 14 32 0
+1 0 1 0 0 18 15 32 0
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+1 0 1 0 0 18 36 32 0
+1 0 1 0 0 18 37 32 0
+1 0 1 0 0 18 38 32 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0
+2 0 1 0 0 18 14 32 0
+2 0 1 0 0 18 15 32 0
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+2 0 1 0 0 18 36 32 0
+2 0 1 0 0 18 37 32 0
+2 0 1 0 0 18 38 32 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 0
+2 0 0 0 0 18 2 32 0
+2 0 0 0 0 18 4 32 0
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+2 0 0 0 0 18 46 32 0
+2 0 0 0 0 18 48 32 0
+2 0 0 0 0 18 50 32 0
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0
+3 0 1 0 0 18 14 32 0
+3 0 1 0 0 18 15 32 0
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+3 0 1 0 0 18 36 32 0
+3 0 1 0 0 18 37 32 0
+3 0 1 0 0 18 38 32 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0
+4 0 1 0 0 18 14 32 0
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+4 0 1 0 0 18 36 32 0
+4 0 1 0 0 18 37 32 0
+4 0 1 0 0 18 38 32 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 0
+4 0 0 0 0 18 2 32 0
+4 0 0 0 0 18 4 32 0
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+4 0 0 0 0 18 46 32 0
+4 0 0 0 0 18 48 32 0
+4 0 0 0 0 18 50 32 0
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0
+5 0 1 0 0 18 14 32 0
+5 0 1 0 0 18 15 32 0
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+5 0 1 0 0 18 36 32 0
+5 0 1 0 0 18 37 32 0
+5 0 1 0 0 18 38 32 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0
+6 0 1 0 0 18 14 32 0
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+6 0 1 0 0 18 36 32 0
+6 0 1 0 0 18 37 32 0
+6 0 1 0 0 18 38 32 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 0
+6 0 0 0 0 18 2 32 0
+6 0 0 0 0 18 4 32 0
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+6 0 0 0 0 18 44 32 0
+6 0 0 0 0 18 46 32 0
+6 0 0 0 0 18 48 32 0
+6 0 0 0 0 18 50 32 0
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0
+7 0 1 0 0 18 14 32 0
+7 0 1 0 0 18 15 32 0
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+7 0 1 0 0 18 37 32 0
+7 0 1 0 0 18 38 32 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0
+8 0 1 0 0 18 14 32 0
+8 0 1 0 0 18 15 32 0
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+8 0 1 0 0 18 34 32 0
+8 0 1 0 0 18 35 32 0
+8 0 1 0 0 18 36 32 0
+8 0 1 0 0 18 37 32 0
+8 0 1 0 0 18 38 32 0
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 0
+8 0 0 0 0 18 2 32 0
+8 0 0 0 0 18 4 32 0
+8 0 0 0 0 18 6 32 0
+8 0 0 0 0 18 8 32 0
+8 0 0 0 0 18 10 32 0
+8 0 0 0 0 18 12 32 0
+8 0 0 0 0 18 14 32 0
+8 0 0 0 0 18 16 32 0
+8 0 0 0 0 18 18 32 0
+8 0 0 0 0 18 20 32 0
+8 0 0 0 0 18 22 32 0
+8 0 0 0 0 18 24 32 0
+8 0 0 0 0 18 26 32 0
+8 0 0 0 0 18 28 32 0
+8 0 0 0 0 18 30 32 0
+8 0 0 0 0 18 32 32 0
+8 0 0 0 0 18 34 32 0
+8 0 0 0 0 18 36 32 0
+8 0 0 0 0 18 38 32 0
+8 0 0 0 0 18 40 32 0
+8 0 0 0 0 18 42 32 0
+8 0 0 0 0 18 44 32 0
+8 0 0 0 0 18 46 32 0
+8 0 0 0 0 18 48 32 0
+8 0 0 0 0 18 50 32 0
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0
+9 0 1 0 0 18 14 32 0
+9 0 1 0 0 18 15 32 0
+9 0 1 0 0 18 16 32 0
+9 0 1 0 0 18 17 32 0
+9 0 1 0 0 18 18 32 0
+9 0 1 0 0 18 19 32 0
+9 0 1 0 0 18 20 32 0
+9 0 1 0 0 18 21 32 0
+9 0 1 0 0 18 22 32 0
+9 0 1 0 0 18 23 32 0
+9 0 1 0 0 18 24 32 0
+9 0 1 0 0 18 25 32 0
+9 0 1 0 0 18 26 32 0
+9 0 1 0 0 18 27 32 0
+9 0 1 0 0 18 28 32 0
+9 0 1 0 0 18 29 32 0
+9 0 1 0 0 18 30 32 0
+9 0 1 0 0 18 31 32 0
+9 0 1 0 0 18 32 32 0
+9 0 1 0 0 18 33 32 0
+9 0 1 0 0 18 34 32 0
+9 0 1 0 0 18 35 32 0
+9 0 1 0 0 18 36 32 0
+9 0 1 0 0 18 37 32 0
+9 0 1 0 0 18 38 32 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 0
+10 0 1 0 0 18 14 32 0
+10 0 1 0 0 18 15 32 0
+10 0 1 0 0 18 16 32 0
+10 0 1 0 0 18 17 32 0
+10 0 1 0 0 18 18 32 0
+10 0 1 0 0 18 19 32 0
+10 0 1 0 0 18 20 32 0
+10 0 1 0 0 18 21 32 0
+10 0 1 0 0 18 22 32 0
+10 0 1 0 0 18 23 32 0
+10 0 1 0 0 18 24 32 0
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+10 0 1 0 0 18 29 32 0
+10 0 1 0 0 18 30 32 0
+10 0 1 0 0 18 31 32 0
+10 0 1 0 0 18 32 32 0
+10 0 1 0 0 18 33 32 0
+10 0 1 0 0 18 34 32 0
+10 0 1 0 0 18 35 32 0
+10 0 1 0 0 18 36 32 0
+10 0 1 0 0 18 37 32 0
+10 0 1 0 0 18 38 32 0
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 0
+10 0 0 0 0 18 2 32 0
+10 0 0 0 0 18 4 32 0
+10 0 0 0 0 18 6 32 0
+10 0 0 0 0 18 8 32 0
+10 0 0 0 0 18 10 32 0
+10 0 0 0 0 18 12 32 0
+10 0 0 0 0 18 14 32 0
+10 0 0 0 0 18 16 32 0
+10 0 0 0 0 18 18 32 0
+10 0 0 0 0 18 20 32 0
+10 0 0 0 0 18 22 32 0
+10 0 0 0 0 18 24 32 0
+10 0 0 0 0 18 26 32 0
+10 0 0 0 0 18 28 32 0
+10 0 0 0 0 18 30 32 0
+10 0 0 0 0 18 32 32 0
+10 0 0 0 0 18 34 32 0
+10 0 0 0 0 18 36 32 0
+10 0 0 0 0 18 38 32 0
+10 0 0 0 0 18 40 32 0
+10 0 0 0 0 18 42 32 0
+10 0 0 0 0 18 44 32 0
+10 0 0 0 0 18 46 32 0
+10 0 0 0 0 18 48 32 0
+10 0 0 0 0 18 50 32 0
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0
+11 0 1 0 0 18 14 32 0
+11 0 1 0 0 18 15 32 0
+11 0 1 0 0 18 16 32 0
+11 0 1 0 0 18 17 32 0
+11 0 1 0 0 18 18 32 0
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+11 0 1 0 0 18 20 32 0
+11 0 1 0 0 18 21 32 0
+11 0 1 0 0 18 22 32 0
+11 0 1 0 0 18 23 32 0
+11 0 1 0 0 18 24 32 0
+11 0 1 0 0 18 25 32 0
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+11 0 1 0 0 18 28 32 0
+11 0 1 0 0 18 29 32 0
+11 0 1 0 0 18 30 32 0
+11 0 1 0 0 18 31 32 0
+11 0 1 0 0 18 32 32 0
+11 0 1 0 0 18 33 32 0
+11 0 1 0 0 18 34 32 0
+11 0 1 0 0 18 35 32 0
+11 0 1 0 0 18 36 32 0
+11 0 1 0 0 18 37 32 0
+11 0 1 0 0 18 38 32 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0
+12 0 1 0 0 18 14 32 0
+12 0 1 0 0 18 15 32 0
+12 0 1 0 0 18 16 32 0
+12 0 1 0 0 18 17 32 0
+12 0 1 0 0 18 18 32 0
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+12 0 1 0 0 18 21 32 0
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+12 0 1 0 0 18 23 32 0
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+12 0 1 0 0 18 29 32 0
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+12 0 1 0 0 18 31 32 0
+12 0 1 0 0 18 32 32 0
+12 0 1 0 0 18 33 32 0
+12 0 1 0 0 18 34 32 0
+12 0 1 0 0 18 35 32 0
+12 0 1 0 0 18 36 32 0
+12 0 1 0 0 18 37 32 0
+12 0 1 0 0 18 38 32 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0
+12 0 0 0 0 18 2 32 0
+12 0 0 0 0 18 4 32 0
+12 0 0 0 0 18 6 32 0
+12 0 0 0 0 18 8 32 0
+12 0 0 0 0 18 10 32 0
+12 0 0 0 0 18 12 32 0
+12 0 0 0 0 18 14 32 0
+12 0 0 0 0 18 16 32 0
+12 0 0 0 0 18 18 32 0
+12 0 0 0 0 18 20 32 0
+12 0 0 0 0 18 22 32 0
+12 0 0 0 0 18 24 32 0
+12 0 0 0 0 18 26 32 0
+12 0 0 0 0 18 28 32 0
+12 0 0 0 0 18 30 32 0
+12 0 0 0 0 18 32 32 0
+12 0 0 0 0 18 34 32 0
+12 0 0 0 0 18 36 32 0
+12 0 0 0 0 18 38 32 0
+12 0 0 0 0 18 40 32 0
+12 0 0 0 0 18 42 32 0
+12 0 0 0 0 18 44 32 0
+12 0 0 0 0 18 46 32 0
+12 0 0 0 0 18 48 32 0
+12 0 0 0 0 18 50 32 0
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_z.zl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_z.zl
new file mode 100644
index 000000000..a1ef57457
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/cart3d_z.zl
@@ -0,0 +1,782 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -4.5
+0 0 1 0 0 18 24 18 -4.2
+0 0 1 0 0 18 24 19 -3.9
+0 0 1 0 0 18 24 20 -3.6
+0 0 1 0 0 18 24 21 -3.3
+0 0 1 0 0 18 24 22 -3
+0 0 1 0 0 18 24 23 -2.7
+0 0 1 0 0 18 24 24 -2.4
+0 0 1 0 0 18 24 25 -2.1
+0 0 1 0 0 18 24 26 -1.8
+0 0 1 0 0 18 24 27 -1.5
+0 0 1 0 0 18 24 28 -1.2
+0 0 1 0 0 18 24 29 -0.9
+0 0 1 0 0 18 24 30 -0.6
+0 0 1 0 0 18 24 31 -0.3
+0 0 1 0 0 18 24 32 0
+0 0 1 0 0 18 24 33 0.3
+0 0 1 0 0 18 24 34 0.6
+0 0 1 0 0 18 24 35 0.9
+0 0 1 0 0 18 24 36 1.2
+0 0 1 0 0 18 24 37 1.5
+0 0 1 0 0 18 24 38 1.8
+0 0 1 0 0 18 24 39 2.1
+0 0 1 0 0 18 24 40 2.4
+0 0 1 0 0 18 24 41 2.7
+0 0 1 0 0 18 24 42 3
+0 0 1 0 0 18 24 43 3.3
+0 0 1 0 0 18 24 44 3.6
+0 0 1 0 0 18 24 45 3.9
+0 0 1 0 0 18 24 46 4.2
+0 0 1 0 0 18 24 47 4.5
+0 0 1 0 0 18 24 48 4.8
+0 0 1 0 0 18 24 49 5.1
+0 0 1 0 0 18 24 50 5.4
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 -9.6
+0 0 0 0 0 18 24 2 -9
+0 0 0 0 0 18 24 4 -8.4
+0 0 0 0 0 18 24 6 -7.8
+0 0 0 0 0 18 24 8 -7.2
+0 0 0 0 0 18 24 10 -6.6
+0 0 0 0 0 18 24 12 -6
+0 0 0 0 0 18 24 14 -5.4
+0 0 0 0 0 18 24 16 -4.8
+0 0 0 0 0 18 24 18 -4.2
+0 0 0 0 0 18 24 20 -3.6
+0 0 0 0 0 18 24 22 -3
+0 0 0 0 0 18 24 24 -2.4
+0 0 0 0 0 18 24 26 -1.8
+0 0 0 0 0 18 24 28 -1.2
+0 0 0 0 0 18 24 30 -0.6
+0 0 0 0 0 18 24 32 0
+0 0 0 0 0 18 24 34 0.6
+0 0 0 0 0 18 24 36 1.2
+0 0 0 0 0 18 24 38 1.8
+0 0 0 0 0 18 24 40 2.4
+0 0 0 0 0 18 24 42 3
+0 0 0 0 0 18 24 44 3.6
+0 0 0 0 0 18 24 46 4.2
+0 0 0 0 0 18 24 48 4.8
+0 0 0 0 0 18 24 50 5.4
+0 0 0 0 0 18 24 52 6
+0 0 0 0 0 18 24 54 6.6
+0 0 0 0 0 18 24 56 7.2
+0 0 0 0 0 18 24 58 7.8
+0 0 0 0 0 18 24 60 8.4
+0 0 0 0 0 18 24 62 9
+0 0 0 0 0 18 24 64 9.6
+0 0 0 0 0 18 24 66 10.2
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -4.5
+1 0 1 0 0 18 24 18 -4.2
+1 0 1 0 0 18 24 19 -3.9
+1 0 1 0 0 18 24 20 -3.6
+1 0 1 0 0 18 24 21 -3.3
+1 0 1 0 0 18 24 22 -3
+1 0 1 0 0 18 24 23 -2.7
+1 0 1 0 0 18 24 24 -2.4
+1 0 1 0 0 18 24 25 -2.1
+1 0 1 0 0 18 24 26 -1.8
+1 0 1 0 0 18 24 27 -1.5
+1 0 1 0 0 18 24 28 -1.2
+1 0 1 0 0 18 24 29 -0.9
+1 0 1 0 0 18 24 30 -0.6
+1 0 1 0 0 18 24 31 -0.3
+1 0 1 0 0 18 24 32 0
+1 0 1 0 0 18 24 33 0.3
+1 0 1 0 0 18 24 34 0.6
+1 0 1 0 0 18 24 35 0.9
+1 0 1 0 0 18 24 36 1.2
+1 0 1 0 0 18 24 37 1.5
+1 0 1 0 0 18 24 38 1.8
+1 0 1 0 0 18 24 39 2.1
+1 0 1 0 0 18 24 40 2.4
+1 0 1 0 0 18 24 41 2.7
+1 0 1 0 0 18 24 42 3
+1 0 1 0 0 18 24 43 3.3
+1 0 1 0 0 18 24 44 3.6
+1 0 1 0 0 18 24 45 3.9
+1 0 1 0 0 18 24 46 4.2
+1 0 1 0 0 18 24 47 4.5
+1 0 1 0 0 18 24 48 4.8
+1 0 1 0 0 18 24 49 5.1
+1 0 1 0 0 18 24 50 5.4
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -4.5
+2 0 1 0 0 18 24 18 -4.2
+2 0 1 0 0 18 24 19 -3.9
+2 0 1 0 0 18 24 20 -3.6
+2 0 1 0 0 18 24 21 -3.3
+2 0 1 0 0 18 24 22 -3
+2 0 1 0 0 18 24 23 -2.7
+2 0 1 0 0 18 24 24 -2.4
+2 0 1 0 0 18 24 25 -2.1
+2 0 1 0 0 18 24 26 -1.8
+2 0 1 0 0 18 24 27 -1.5
+2 0 1 0 0 18 24 28 -1.2
+2 0 1 0 0 18 24 29 -0.9
+2 0 1 0 0 18 24 30 -0.6
+2 0 1 0 0 18 24 31 -0.3
+2 0 1 0 0 18 24 32 0
+2 0 1 0 0 18 24 33 0.3
+2 0 1 0 0 18 24 34 0.6
+2 0 1 0 0 18 24 35 0.9
+2 0 1 0 0 18 24 36 1.2
+2 0 1 0 0 18 24 37 1.5
+2 0 1 0 0 18 24 38 1.8
+2 0 1 0 0 18 24 39 2.1
+2 0 1 0 0 18 24 40 2.4
+2 0 1 0 0 18 24 41 2.7
+2 0 1 0 0 18 24 42 3
+2 0 1 0 0 18 24 43 3.3
+2 0 1 0 0 18 24 44 3.6
+2 0 1 0 0 18 24 45 3.9
+2 0 1 0 0 18 24 46 4.2
+2 0 1 0 0 18 24 47 4.5
+2 0 1 0 0 18 24 48 4.8
+2 0 1 0 0 18 24 49 5.1
+2 0 1 0 0 18 24 50 5.4
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 -9.6
+2 0 0 0 0 18 24 2 -9
+2 0 0 0 0 18 24 4 -8.4
+2 0 0 0 0 18 24 6 -7.8
+2 0 0 0 0 18 24 8 -7.2
+2 0 0 0 0 18 24 10 -6.6
+2 0 0 0 0 18 24 12 -6
+2 0 0 0 0 18 24 14 -5.4
+2 0 0 0 0 18 24 16 -4.8
+2 0 0 0 0 18 24 18 -4.2
+2 0 0 0 0 18 24 20 -3.6
+2 0 0 0 0 18 24 22 -3
+2 0 0 0 0 18 24 24 -2.4
+2 0 0 0 0 18 24 26 -1.8
+2 0 0 0 0 18 24 28 -1.2
+2 0 0 0 0 18 24 30 -0.6
+2 0 0 0 0 18 24 32 0
+2 0 0 0 0 18 24 34 0.6
+2 0 0 0 0 18 24 36 1.2
+2 0 0 0 0 18 24 38 1.8
+2 0 0 0 0 18 24 40 2.4
+2 0 0 0 0 18 24 42 3
+2 0 0 0 0 18 24 44 3.6
+2 0 0 0 0 18 24 46 4.2
+2 0 0 0 0 18 24 48 4.8
+2 0 0 0 0 18 24 50 5.4
+2 0 0 0 0 18 24 52 6
+2 0 0 0 0 18 24 54 6.6
+2 0 0 0 0 18 24 56 7.2
+2 0 0 0 0 18 24 58 7.8
+2 0 0 0 0 18 24 60 8.4
+2 0 0 0 0 18 24 62 9
+2 0 0 0 0 18 24 64 9.6
+2 0 0 0 0 18 24 66 10.2
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -4.5
+3 0 1 0 0 18 24 18 -4.2
+3 0 1 0 0 18 24 19 -3.9
+3 0 1 0 0 18 24 20 -3.6
+3 0 1 0 0 18 24 21 -3.3
+3 0 1 0 0 18 24 22 -3
+3 0 1 0 0 18 24 23 -2.7
+3 0 1 0 0 18 24 24 -2.4
+3 0 1 0 0 18 24 25 -2.1
+3 0 1 0 0 18 24 26 -1.8
+3 0 1 0 0 18 24 27 -1.5
+3 0 1 0 0 18 24 28 -1.2
+3 0 1 0 0 18 24 29 -0.9
+3 0 1 0 0 18 24 30 -0.6
+3 0 1 0 0 18 24 31 -0.3
+3 0 1 0 0 18 24 32 0
+3 0 1 0 0 18 24 33 0.3
+3 0 1 0 0 18 24 34 0.6
+3 0 1 0 0 18 24 35 0.9
+3 0 1 0 0 18 24 36 1.2
+3 0 1 0 0 18 24 37 1.5
+3 0 1 0 0 18 24 38 1.8
+3 0 1 0 0 18 24 39 2.1
+3 0 1 0 0 18 24 40 2.4
+3 0 1 0 0 18 24 41 2.7
+3 0 1 0 0 18 24 42 3
+3 0 1 0 0 18 24 43 3.3
+3 0 1 0 0 18 24 44 3.6
+3 0 1 0 0 18 24 45 3.9
+3 0 1 0 0 18 24 46 4.2
+3 0 1 0 0 18 24 47 4.5
+3 0 1 0 0 18 24 48 4.8
+3 0 1 0 0 18 24 49 5.1
+3 0 1 0 0 18 24 50 5.4
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -4.5
+4 0 1 0 0 18 24 18 -4.2
+4 0 1 0 0 18 24 19 -3.9
+4 0 1 0 0 18 24 20 -3.6
+4 0 1 0 0 18 24 21 -3.3
+4 0 1 0 0 18 24 22 -3
+4 0 1 0 0 18 24 23 -2.7
+4 0 1 0 0 18 24 24 -2.4
+4 0 1 0 0 18 24 25 -2.1
+4 0 1 0 0 18 24 26 -1.8
+4 0 1 0 0 18 24 27 -1.5
+4 0 1 0 0 18 24 28 -1.2
+4 0 1 0 0 18 24 29 -0.9
+4 0 1 0 0 18 24 30 -0.6
+4 0 1 0 0 18 24 31 -0.3
+4 0 1 0 0 18 24 32 0
+4 0 1 0 0 18 24 33 0.3
+4 0 1 0 0 18 24 34 0.6
+4 0 1 0 0 18 24 35 0.9
+4 0 1 0 0 18 24 36 1.2
+4 0 1 0 0 18 24 37 1.5
+4 0 1 0 0 18 24 38 1.8
+4 0 1 0 0 18 24 39 2.1
+4 0 1 0 0 18 24 40 2.4
+4 0 1 0 0 18 24 41 2.7
+4 0 1 0 0 18 24 42 3
+4 0 1 0 0 18 24 43 3.3
+4 0 1 0 0 18 24 44 3.6
+4 0 1 0 0 18 24 45 3.9
+4 0 1 0 0 18 24 46 4.2
+4 0 1 0 0 18 24 47 4.5
+4 0 1 0 0 18 24 48 4.8
+4 0 1 0 0 18 24 49 5.1
+4 0 1 0 0 18 24 50 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 -9.6
+4 0 0 0 0 18 24 2 -9
+4 0 0 0 0 18 24 4 -8.4
+4 0 0 0 0 18 24 6 -7.8
+4 0 0 0 0 18 24 8 -7.2
+4 0 0 0 0 18 24 10 -6.6
+4 0 0 0 0 18 24 12 -6
+4 0 0 0 0 18 24 14 -5.4
+4 0 0 0 0 18 24 16 -4.8
+4 0 0 0 0 18 24 18 -4.2
+4 0 0 0 0 18 24 20 -3.6
+4 0 0 0 0 18 24 22 -3
+4 0 0 0 0 18 24 24 -2.4
+4 0 0 0 0 18 24 26 -1.8
+4 0 0 0 0 18 24 28 -1.2
+4 0 0 0 0 18 24 30 -0.6
+4 0 0 0 0 18 24 32 0
+4 0 0 0 0 18 24 34 0.6
+4 0 0 0 0 18 24 36 1.2
+4 0 0 0 0 18 24 38 1.8
+4 0 0 0 0 18 24 40 2.4
+4 0 0 0 0 18 24 42 3
+4 0 0 0 0 18 24 44 3.6
+4 0 0 0 0 18 24 46 4.2
+4 0 0 0 0 18 24 48 4.8
+4 0 0 0 0 18 24 50 5.4
+4 0 0 0 0 18 24 52 6
+4 0 0 0 0 18 24 54 6.6
+4 0 0 0 0 18 24 56 7.2
+4 0 0 0 0 18 24 58 7.8
+4 0 0 0 0 18 24 60 8.4
+4 0 0 0 0 18 24 62 9
+4 0 0 0 0 18 24 64 9.6
+4 0 0 0 0 18 24 66 10.2
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -4.5
+5 0 1 0 0 18 24 18 -4.2
+5 0 1 0 0 18 24 19 -3.9
+5 0 1 0 0 18 24 20 -3.6
+5 0 1 0 0 18 24 21 -3.3
+5 0 1 0 0 18 24 22 -3
+5 0 1 0 0 18 24 23 -2.7
+5 0 1 0 0 18 24 24 -2.4
+5 0 1 0 0 18 24 25 -2.1
+5 0 1 0 0 18 24 26 -1.8
+5 0 1 0 0 18 24 27 -1.5
+5 0 1 0 0 18 24 28 -1.2
+5 0 1 0 0 18 24 29 -0.9
+5 0 1 0 0 18 24 30 -0.6
+5 0 1 0 0 18 24 31 -0.3
+5 0 1 0 0 18 24 32 0
+5 0 1 0 0 18 24 33 0.3
+5 0 1 0 0 18 24 34 0.6
+5 0 1 0 0 18 24 35 0.9
+5 0 1 0 0 18 24 36 1.2
+5 0 1 0 0 18 24 37 1.5
+5 0 1 0 0 18 24 38 1.8
+5 0 1 0 0 18 24 39 2.1
+5 0 1 0 0 18 24 40 2.4
+5 0 1 0 0 18 24 41 2.7
+5 0 1 0 0 18 24 42 3
+5 0 1 0 0 18 24 43 3.3
+5 0 1 0 0 18 24 44 3.6
+5 0 1 0 0 18 24 45 3.9
+5 0 1 0 0 18 24 46 4.2
+5 0 1 0 0 18 24 47 4.5
+5 0 1 0 0 18 24 48 4.8
+5 0 1 0 0 18 24 49 5.1
+5 0 1 0 0 18 24 50 5.4
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -4.5
+6 0 1 0 0 18 24 18 -4.2
+6 0 1 0 0 18 24 19 -3.9
+6 0 1 0 0 18 24 20 -3.6
+6 0 1 0 0 18 24 21 -3.3
+6 0 1 0 0 18 24 22 -3
+6 0 1 0 0 18 24 23 -2.7
+6 0 1 0 0 18 24 24 -2.4
+6 0 1 0 0 18 24 25 -2.1
+6 0 1 0 0 18 24 26 -1.8
+6 0 1 0 0 18 24 27 -1.5
+6 0 1 0 0 18 24 28 -1.2
+6 0 1 0 0 18 24 29 -0.9
+6 0 1 0 0 18 24 30 -0.6
+6 0 1 0 0 18 24 31 -0.3
+6 0 1 0 0 18 24 32 0
+6 0 1 0 0 18 24 33 0.3
+6 0 1 0 0 18 24 34 0.6
+6 0 1 0 0 18 24 35 0.9
+6 0 1 0 0 18 24 36 1.2
+6 0 1 0 0 18 24 37 1.5
+6 0 1 0 0 18 24 38 1.8
+6 0 1 0 0 18 24 39 2.1
+6 0 1 0 0 18 24 40 2.4
+6 0 1 0 0 18 24 41 2.7
+6 0 1 0 0 18 24 42 3
+6 0 1 0 0 18 24 43 3.3
+6 0 1 0 0 18 24 44 3.6
+6 0 1 0 0 18 24 45 3.9
+6 0 1 0 0 18 24 46 4.2
+6 0 1 0 0 18 24 47 4.5
+6 0 1 0 0 18 24 48 4.8
+6 0 1 0 0 18 24 49 5.1
+6 0 1 0 0 18 24 50 5.4
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 -9.6
+6 0 0 0 0 18 24 2 -9
+6 0 0 0 0 18 24 4 -8.4
+6 0 0 0 0 18 24 6 -7.8
+6 0 0 0 0 18 24 8 -7.2
+6 0 0 0 0 18 24 10 -6.6
+6 0 0 0 0 18 24 12 -6
+6 0 0 0 0 18 24 14 -5.4
+6 0 0 0 0 18 24 16 -4.8
+6 0 0 0 0 18 24 18 -4.2
+6 0 0 0 0 18 24 20 -3.6
+6 0 0 0 0 18 24 22 -3
+6 0 0 0 0 18 24 24 -2.4
+6 0 0 0 0 18 24 26 -1.8
+6 0 0 0 0 18 24 28 -1.2
+6 0 0 0 0 18 24 30 -0.6
+6 0 0 0 0 18 24 32 0
+6 0 0 0 0 18 24 34 0.6
+6 0 0 0 0 18 24 36 1.2
+6 0 0 0 0 18 24 38 1.8
+6 0 0 0 0 18 24 40 2.4
+6 0 0 0 0 18 24 42 3
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+6 0 0 0 0 18 24 46 4.2
+6 0 0 0 0 18 24 48 4.8
+6 0 0 0 0 18 24 50 5.4
+6 0 0 0 0 18 24 52 6
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+6 0 0 0 0 18 24 56 7.2
+6 0 0 0 0 18 24 58 7.8
+6 0 0 0 0 18 24 60 8.4
+6 0 0 0 0 18 24 62 9
+6 0 0 0 0 18 24 64 9.6
+6 0 0 0 0 18 24 66 10.2
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -4.5
+7 0 1 0 0 18 24 18 -4.2
+7 0 1 0 0 18 24 19 -3.9
+7 0 1 0 0 18 24 20 -3.6
+7 0 1 0 0 18 24 21 -3.3
+7 0 1 0 0 18 24 22 -3
+7 0 1 0 0 18 24 23 -2.7
+7 0 1 0 0 18 24 24 -2.4
+7 0 1 0 0 18 24 25 -2.1
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+7 0 1 0 0 18 24 28 -1.2
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+7 0 1 0 0 18 24 30 -0.6
+7 0 1 0 0 18 24 31 -0.3
+7 0 1 0 0 18 24 32 0
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+7 0 1 0 0 18 24 34 0.6
+7 0 1 0 0 18 24 35 0.9
+7 0 1 0 0 18 24 36 1.2
+7 0 1 0 0 18 24 37 1.5
+7 0 1 0 0 18 24 38 1.8
+7 0 1 0 0 18 24 39 2.1
+7 0 1 0 0 18 24 40 2.4
+7 0 1 0 0 18 24 41 2.7
+7 0 1 0 0 18 24 42 3
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+7 0 1 0 0 18 24 44 3.6
+7 0 1 0 0 18 24 45 3.9
+7 0 1 0 0 18 24 46 4.2
+7 0 1 0 0 18 24 47 4.5
+7 0 1 0 0 18 24 48 4.8
+7 0 1 0 0 18 24 49 5.1
+7 0 1 0 0 18 24 50 5.4
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -4.5
+8 0 1 0 0 18 24 18 -4.2
+8 0 1 0 0 18 24 19 -3.9
+8 0 1 0 0 18 24 20 -3.6
+8 0 1 0 0 18 24 21 -3.3
+8 0 1 0 0 18 24 22 -3
+8 0 1 0 0 18 24 23 -2.7
+8 0 1 0 0 18 24 24 -2.4
+8 0 1 0 0 18 24 25 -2.1
+8 0 1 0 0 18 24 26 -1.8
+8 0 1 0 0 18 24 27 -1.5
+8 0 1 0 0 18 24 28 -1.2
+8 0 1 0 0 18 24 29 -0.9
+8 0 1 0 0 18 24 30 -0.6
+8 0 1 0 0 18 24 31 -0.3
+8 0 1 0 0 18 24 32 0
+8 0 1 0 0 18 24 33 0.3
+8 0 1 0 0 18 24 34 0.6
+8 0 1 0 0 18 24 35 0.9
+8 0 1 0 0 18 24 36 1.2
+8 0 1 0 0 18 24 37 1.5
+8 0 1 0 0 18 24 38 1.8
+8 0 1 0 0 18 24 39 2.1
+8 0 1 0 0 18 24 40 2.4
+8 0 1 0 0 18 24 41 2.7
+8 0 1 0 0 18 24 42 3
+8 0 1 0 0 18 24 43 3.3
+8 0 1 0 0 18 24 44 3.6
+8 0 1 0 0 18 24 45 3.9
+8 0 1 0 0 18 24 46 4.2
+8 0 1 0 0 18 24 47 4.5
+8 0 1 0 0 18 24 48 4.8
+8 0 1 0 0 18 24 49 5.1
+8 0 1 0 0 18 24 50 5.4
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 -9.6
+8 0 0 0 0 18 24 2 -9
+8 0 0 0 0 18 24 4 -8.4
+8 0 0 0 0 18 24 6 -7.8
+8 0 0 0 0 18 24 8 -7.2
+8 0 0 0 0 18 24 10 -6.6
+8 0 0 0 0 18 24 12 -6
+8 0 0 0 0 18 24 14 -5.4
+8 0 0 0 0 18 24 16 -4.8
+8 0 0 0 0 18 24 18 -4.2
+8 0 0 0 0 18 24 20 -3.6
+8 0 0 0 0 18 24 22 -3
+8 0 0 0 0 18 24 24 -2.4
+8 0 0 0 0 18 24 26 -1.8
+8 0 0 0 0 18 24 28 -1.2
+8 0 0 0 0 18 24 30 -0.6
+8 0 0 0 0 18 24 32 0
+8 0 0 0 0 18 24 34 0.6
+8 0 0 0 0 18 24 36 1.2
+8 0 0 0 0 18 24 38 1.8
+8 0 0 0 0 18 24 40 2.4
+8 0 0 0 0 18 24 42 3
+8 0 0 0 0 18 24 44 3.6
+8 0 0 0 0 18 24 46 4.2
+8 0 0 0 0 18 24 48 4.8
+8 0 0 0 0 18 24 50 5.4
+8 0 0 0 0 18 24 52 6
+8 0 0 0 0 18 24 54 6.6
+8 0 0 0 0 18 24 56 7.2
+8 0 0 0 0 18 24 58 7.8
+8 0 0 0 0 18 24 60 8.4
+8 0 0 0 0 18 24 62 9
+8 0 0 0 0 18 24 64 9.6
+8 0 0 0 0 18 24 66 10.2
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -4.5
+9 0 1 0 0 18 24 18 -4.2
+9 0 1 0 0 18 24 19 -3.9
+9 0 1 0 0 18 24 20 -3.6
+9 0 1 0 0 18 24 21 -3.3
+9 0 1 0 0 18 24 22 -3
+9 0 1 0 0 18 24 23 -2.7
+9 0 1 0 0 18 24 24 -2.4
+9 0 1 0 0 18 24 25 -2.1
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+9 0 1 0 0 18 24 30 -0.6
+9 0 1 0 0 18 24 31 -0.3
+9 0 1 0 0 18 24 32 0
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+9 0 1 0 0 18 24 34 0.6
+9 0 1 0 0 18 24 35 0.9
+9 0 1 0 0 18 24 36 1.2
+9 0 1 0 0 18 24 37 1.5
+9 0 1 0 0 18 24 38 1.8
+9 0 1 0 0 18 24 39 2.1
+9 0 1 0 0 18 24 40 2.4
+9 0 1 0 0 18 24 41 2.7
+9 0 1 0 0 18 24 42 3
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+9 0 1 0 0 18 24 45 3.9
+9 0 1 0 0 18 24 46 4.2
+9 0 1 0 0 18 24 47 4.5
+9 0 1 0 0 18 24 48 4.8
+9 0 1 0 0 18 24 49 5.1
+9 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 -4.5
+10 0 1 0 0 18 24 18 -4.2
+10 0 1 0 0 18 24 19 -3.9
+10 0 1 0 0 18 24 20 -3.6
+10 0 1 0 0 18 24 21 -3.3
+10 0 1 0 0 18 24 22 -3
+10 0 1 0 0 18 24 23 -2.7
+10 0 1 0 0 18 24 24 -2.4
+10 0 1 0 0 18 24 25 -2.1
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+10 0 1 0 0 18 24 30 -0.6
+10 0 1 0 0 18 24 31 -0.3
+10 0 1 0 0 18 24 32 0
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+10 0 1 0 0 18 24 34 0.6
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+10 0 1 0 0 18 24 36 1.2
+10 0 1 0 0 18 24 37 1.5
+10 0 1 0 0 18 24 38 1.8
+10 0 1 0 0 18 24 39 2.1
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+10 0 1 0 0 18 24 41 2.7
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+10 0 1 0 0 18 24 45 3.9
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+10 0 1 0 0 18 24 47 4.5
+10 0 1 0 0 18 24 48 4.8
+10 0 1 0 0 18 24 49 5.1
+10 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 -9.6
+10 0 0 0 0 18 24 2 -9
+10 0 0 0 0 18 24 4 -8.4
+10 0 0 0 0 18 24 6 -7.8
+10 0 0 0 0 18 24 8 -7.2
+10 0 0 0 0 18 24 10 -6.6
+10 0 0 0 0 18 24 12 -6
+10 0 0 0 0 18 24 14 -5.4
+10 0 0 0 0 18 24 16 -4.8
+10 0 0 0 0 18 24 18 -4.2
+10 0 0 0 0 18 24 20 -3.6
+10 0 0 0 0 18 24 22 -3
+10 0 0 0 0 18 24 24 -2.4
+10 0 0 0 0 18 24 26 -1.8
+10 0 0 0 0 18 24 28 -1.2
+10 0 0 0 0 18 24 30 -0.6
+10 0 0 0 0 18 24 32 0
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+10 0 0 0 0 18 24 36 1.2
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+10 0 0 0 0 18 24 40 2.4
+10 0 0 0 0 18 24 42 3
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+10 0 0 0 0 18 24 46 4.2
+10 0 0 0 0 18 24 48 4.8
+10 0 0 0 0 18 24 50 5.4
+10 0 0 0 0 18 24 52 6
+10 0 0 0 0 18 24 54 6.6
+10 0 0 0 0 18 24 56 7.2
+10 0 0 0 0 18 24 58 7.8
+10 0 0 0 0 18 24 60 8.4
+10 0 0 0 0 18 24 62 9
+10 0 0 0 0 18 24 64 9.6
+10 0 0 0 0 18 24 66 10.2
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 -4.5
+11 0 1 0 0 18 24 18 -4.2
+11 0 1 0 0 18 24 19 -3.9
+11 0 1 0 0 18 24 20 -3.6
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+11 0 1 0 0 18 24 22 -3
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+11 0 1 0 0 18 24 24 -2.4
+11 0 1 0 0 18 24 25 -2.1
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+11 0 1 0 0 18 24 39 2.1
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+11 0 1 0 0 18 24 47 4.5
+11 0 1 0 0 18 24 48 4.8
+11 0 1 0 0 18 24 49 5.1
+11 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 -4.5
+12 0 1 0 0 18 24 18 -4.2
+12 0 1 0 0 18 24 19 -3.9
+12 0 1 0 0 18 24 20 -3.6
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+12 0 1 0 0 18 24 47 4.5
+12 0 1 0 0 18 24 48 4.8
+12 0 1 0 0 18 24 49 5.1
+12 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 -9.6
+12 0 0 0 0 18 24 2 -9
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+12 0 0 0 0 18 24 60 8.4
+12 0 0 0 0 18 24 62 9
+12 0 0 0 0 18 24 64 9.6
+12 0 0 0 0 18 24 66 10.2
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/phi.xl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/phi.xl
new file mode 100644
index 000000000..36b50b483
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/phi.xl
@@ -0,0 +1,482 @@
+# SPACETIMETOY::phi x (phi)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -0.309016994374946
+0 0 1 0 0 10 24 32 -0.104528463267652
+0 0 1 0 0 11 24 32 0.104528463267655
+0 0 1 0 0 12 24 32 0.309016994374949
+0 0 1 0 0 13 24 32 0.500000000000001
+0 0 1 0 0 14 24 32 0.669130606358859
+0 0 1 0 0 15 24 32 0.809016994374948
+0 0 1 0 0 16 24 32 0.913545457642601
+0 0 1 0 0 17 24 32 0.978147600733806
+0 0 1 0 0 18 24 32 1
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+0 0 1 0 0 20 24 32 0.913545457642601
+0 0 1 0 0 21 24 32 0.809016994374948
+0 0 1 0 0 22 24 32 0.669130606358859
+0 0 1 0 0 23 24 32 0.500000000000001
+0 0 1 0 0 24 24 32 0.309016994374948
+0 0 1 0 0 25 24 32 0.104528463267655
+0 0 1 0 0 26 24 32 -0.104528463267652
+0 0 1 0 0 27 24 32 -0.309016994374946
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -0.80901699437495
+0 0 0 0 0 2 24 32 -0.978147600733806
+0 0 0 0 0 4 24 32 -0.978147600733805
+0 0 0 0 0 6 24 32 -0.809016994374946
+0 0 0 0 0 8 24 32 -0.499999999999998
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+0 0 0 0 0 12 24 32 0.309016994374949
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+0 0 0 0 0 16 24 32 0.913545457642601
+0 0 0 0 0 18 24 32 1
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+0 0 0 0 0 22 24 32 0.669130606358859
+0 0 0 0 0 24 24 32 0.309016994374948
+0 0 0 0 0 26 24 32 -0.104528463267652
+0 0 0 0 0 28 24 32 -0.499999999999998
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+0 0 0 0 0 32 24 32 -0.978147600733805
+0 0 0 0 0 34 24 32 -0.978147600733806
+0 0 0 0 0 36 24 32 -0.809016994374949
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -0.152262005775262
+1 0 1 0 0 10 24 32 0.0563673777921828
+1 0 1 0 0 11 24 32 0.265364348434242
+1 0 1 0 0 12 24 32 0.460163565831275
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+1 0 1 0 0 19 24 32 0.931018767734638
+1 0 1 0 0 20 24 32 0.834818386958424
+1 0 1 0 0 21 24 32 0.702132436769059
+1 0 1 0 0 22 24 32 0.538759929887647
+1 0 1 0 0 23 24 32 0.351841028813172
+1 0 1 0 0 24 24 32 0.149544986458989
+1 0 1 0 0 25 24 32 -0.0589496740482509
+1 0 1 0 0 26 24 32 -0.262641582984751
+1 0 1 0 0 27 24 32 -0.457111819326738
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0.0118442248491627
+2 0 1 0 0 10 24 32 0.219341841415398
+2 0 1 0 0 11 24 32 0.418395998079085
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+2 0 1 0 0 14 24 32 0.87288334591088
+2 0 1 0 0 15 24 32 0.95525067985122
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+2 0 1 0 0 21 24 32 0.576477071164152
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+2 0 1 0 0 24 24 32 -0.0138270135952162
+2 0 1 0 0 25 24 32 -0.22018995546844
+2 0 1 0 0 26 24 32 -0.417244738885765
+2 0 1 0 0 27 24 32 -0.596487590788705
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -0.953971314608739
+2 0 0 0 0 2 24 32 -0.992500903451822
+2 0 0 0 0 4 24 32 -0.859418069500438
+2 0 0 0 0 6 24 32 -0.577734043764375
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+2 0 0 0 0 18 24 32 0.946659811638936
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+2 0 0 0 0 22 24 32 0.393994761644168
+2 0 0 0 0 24 24 32 -0.0138270135952162
+2 0 0 0 0 26 24 32 -0.417244738885765
+2 0 0 0 0 28 24 32 -0.750491418912486
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+2 0 0 0 0 32 24 32 -0.992500903451822
+2 0 0 0 0 34 24 32 -0.859418069500438
+2 0 0 0 0 36 24 32 -0.577734043764375
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0.171297929069127
+3 0 1 0 0 10 24 32 0.372466270141808
+3 0 1 0 0 11 24 32 0.559670167359905
+3 0 1 0 0 12 24 32 0.721372754445586
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+3 0 1 0 0 26 24 32 -0.557112444551779
+3 0 1 0 0 27 24 32 -0.716703347270465
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0.330424156691157
+4 0 1 0 0 10 24 32 0.519716883124807
+4 0 1 0 0 11 24 32 0.685604148080829
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+4 0 1 0 0 19 24 32 0.648534397783736
+4 0 1 0 0 20 24 32 0.47603468236362
+4 0 1 0 0 21 24 32 0.282730120969461
+4 0 1 0 0 22 24 32 0.077077193201321
+4 0 1 0 0 23 24 32 -0.131806768321158
+4 0 1 0 0 24 24 32 -0.334067130599091
+4 0 1 0 0 25 24 32 -0.519721019148475
+4 0 1 0 0 26 24 32 -0.685986528789096
+4 0 1 0 0 27 24 32 -0.821412959753052
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -0.999370763983347
+4 0 0 0 0 2 24 32 -0.903656530021145
+4 0 0 0 0 4 24 32 -0.651691872556433
+4 0 0 0 0 6 24 32 -0.287043769891917
+4 0 0 0 0 8 24 32 0.127236808297695
+4 0 0 0 0 10 24 32 0.519716883124807
+4 0 0 0 0 12 24 32 0.824124037609791
+4 0 0 0 0 14 24 32 0.983751690839796
+4 0 0 0 0 16 24 32 0.972282102987674
+4 0 0 0 0 18 24 32 0.79269004800739
+4 0 0 0 0 20 24 32 0.47603468236362
+4 0 0 0 0 22 24 32 0.077077193201321
+4 0 0 0 0 24 24 32 -0.334067130599091
+4 0 0 0 0 26 24 32 -0.685986528789096
+4 0 0 0 0 28 24 32 -0.92228471385446
+4 0 0 0 0 30 24 32 -0.999370763983347
+4 0 0 0 0 32 24 32 -0.903656530021145
+4 0 0 0 0 34 24 32 -0.651691872556433
+4 0 0 0 0 36 24 32 -0.287043769891917
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0.476559139652106
+5 0 1 0 0 10 24 32 0.649358937116559
+5 0 1 0 0 11 24 32 0.793229657041454
+5 0 1 0 0 12 24 32 0.904339461164947
+5 0 1 0 0 13 24 32 0.974224063700352
+5 0 1 0 0 14 24 32 1.00022009444427
+5 0 1 0 0 15 24 32 0.982156042438436
+5 0 1 0 0 16 24 32 0.921127128974468
+5 0 1 0 0 17 24 32 0.819838472686275
+5 0 1 0 0 18 24 32 0.682718900279965
+5 0 1 0 0 19 24 32 0.515761236048529
+5 0 1 0 0 20 24 32 0.326262395870279
+5 0 1 0 0 21 24 32 0.122507215477249
+5 0 1 0 0 22 24 32 -0.0865511794350346
+5 0 1 0 0 23 24 32 -0.291425160322488
+5 0 1 0 0 24 24 32 -0.48223352699752
+5 0 1 0 0 25 24 32 -0.650667634886961
+5 0 1 0 0 26 24 32 -0.793483479750864
+5 0 1 0 0 27 24 32 -0.901702828636289
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0.614042819791785
+6 0 1 0 0 10 24 32 0.765304013199676
+6 0 1 0 0 11 24 32 0.87983929036138
+6 0 1 0 0 12 24 32 0.960035011595256
+6 0 1 0 0 13 24 32 0.997506661239731
+6 0 1 0 0 14 24 32 0.989823470582572
+6 0 1 0 0 15 24 32 0.938150124003025
+6 0 1 0 0 16 24 32 0.845329999569235
+6 0 1 0 0 17 24 32 0.715550378494498
+6 0 1 0 0 18 24 32 0.554497035122562
+6 0 1 0 0 19 24 32 0.369209519823736
+6 0 1 0 0 20 24 32 0.167786805767265
+6 0 1 0 0 21 24 32 -0.0409502711169047
+6 0 1 0 0 22 24 32 -0.247724423204841
+6 0 1 0 0 23 24 32 -0.442881904536822
+6 0 1 0 0 24 24 32 -0.617285526482727
+6 0 1 0 0 25 24 32 -0.764590427776899
+6 0 1 0 0 26 24 32 -0.8830644680527
+6 0 1 0 0 27 24 32 -0.960703529628498
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -0.940774410308165
+6 0 0 0 0 2 24 32 -0.72113465964661
+6 0 0 0 0 4 24 32 -0.376806103116003
+6 0 0 0 0 6 24 32 0.0326776092339344
+6 0 0 0 0 8 24 32 0.436577121756668
+6 0 0 0 0 10 24 32 0.765304013199676
+6 0 0 0 0 12 24 32 0.960035011595256
+6 0 0 0 0 14 24 32 0.989823470582572
+6 0 0 0 0 16 24 32 0.845329999569235
+6 0 0 0 0 18 24 32 0.554497035122562
+6 0 0 0 0 20 24 32 0.167786805767265
+6 0 0 0 0 22 24 32 -0.247724423204841
+6 0 0 0 0 24 24 32 -0.617285526482727
+6 0 0 0 0 26 24 32 -0.8830644680527
+6 0 0 0 0 28 24 32 -0.997826382515596
+6 0 0 0 0 30 24 32 -0.940774410308165
+6 0 0 0 0 32 24 32 -0.72113465964661
+6 0 0 0 0 34 24 32 -0.376806103116003
+6 0 0 0 0 36 24 32 0.0326776092339344
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0.731544207883345
+7 0 1 0 0 10 24 32 0.857740409574037
+7 0 1 0 0 11 24 32 0.943265190150432
+7 0 1 0 0 12 24 32 0.989946428143626
+7 0 1 0 0 13 24 32 0.993711780655139
+7 0 1 0 0 14 24 32 0.952748775457659
+7 0 1 0 0 15 24 32 0.869005351984574
+7 0 1 0 0 16 24 32 0.746919910284654
+7 0 1 0 0 17 24 32 0.592131678810931
+7 0 1 0 0 18 24 32 0.411459146751579
+7 0 1 0 0 19 24 32 0.21280398040866
+7 0 1 0 0 20 24 32 0.00485516601701443
+7 0 1 0 0 21 24 32 -0.203234344276555
+7 0 1 0 0 22 24 32 -0.402034551424042
+7 0 1 0 0 23 24 32 -0.58212653929947
+7 0 1 0 0 24 24 32 -0.735888847892189
+7 0 1 0 0 25 24 32 -0.858575890344314
+7 0 1 0 0 26 24 32 -0.946992907915278
+7 0 1 0 0 27 24 32 -0.992783332938961
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0.832872000030946
+8 0 1 0 0 10 24 32 0.92993869350635
+8 0 1 0 0 11 24 32 0.981696746027491
+8 0 1 0 0 12 24 32 0.993566077507413
+8 0 1 0 0 13 24 32 0.963026773231406
+8 0 1 0 0 14 24 32 0.88989764112382
+8 0 1 0 0 15 24 32 0.776520373365828
+8 0 1 0 0 16 24 32 0.628522194002025
+8 0 1 0 0 17 24 32 0.452887314350281
+8 0 1 0 0 18 24 32 0.257435835269529
+8 0 1 0 0 19 24 32 0.0507337799047141
+8 0 1 0 0 20 24 32 -0.158156845686995
+8 0 1 0 0 21 24 32 -0.359942419852711
+8 0 1 0 0 22 24 32 -0.545276561446058
+8 0 1 0 0 23 24 32 -0.705576758399564
+8 0 1 0 0 24 24 32 -0.835169863252875
+8 0 1 0 0 25 24 32 -0.930027919813851
+8 0 1 0 0 26 24 32 -0.98784766126504
+8 0 1 0 0 27 24 32 -0.999948408238624
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -0.784584706839051
+8 0 0 0 0 2 24 32 -0.464166419246774
+8 0 0 0 0 4 24 32 -0.0635170530824461
+8 0 0 0 0 6 24 32 0.348137131448253
+8 0 0 0 0 8 24 32 0.699772915227395
+8 0 0 0 0 10 24 32 0.92993869350635
+8 0 0 0 0 12 24 32 0.993566077507413
+8 0 0 0 0 14 24 32 0.88989764112382
+8 0 0 0 0 16 24 32 0.628522194002025
+8 0 0 0 0 18 24 32 0.257435835269529
+8 0 0 0 0 20 24 32 -0.158156845686995
+8 0 0 0 0 22 24 32 -0.545276561446058
+8 0 0 0 0 24 24 32 -0.835169863252875
+8 0 0 0 0 26 24 32 -0.98784766126504
+8 0 0 0 0 28 24 32 -0.969649290870638
+8 0 0 0 0 30 24 32 -0.784584706839051
+8 0 0 0 0 32 24 32 -0.464166419246774
+8 0 0 0 0 34 24 32 -0.0635170530824461
+8 0 0 0 0 36 24 32 0.348137131448253
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0.909257009579069
+9 0 1 0 0 10 24 32 0.975269405736532
+9 0 1 0 0 11 24 32 0.994046042906818
+9 0 1 0 0 12 24 32 0.970929307583358
+9 0 1 0 0 13 24 32 0.906476969972796
+9 0 1 0 0 14 24 32 0.802916258852628
+9 0 1 0 0 15 24 32 0.663095195771651
+9 0 1 0 0 16 24 32 0.493280079455946
+9 0 1 0 0 17 24 32 0.301541436316777
+9 0 1 0 0 18 24 32 0.0965511111446293
+9 0 1 0 0 19 24 32 -0.112656693758928
+9 0 1 0 0 20 24 32 -0.316854800052406
+9 0 1 0 0 21 24 32 -0.50680602167765
+9 0 1 0 0 22 24 32 -0.673617447494895
+9 0 1 0 0 23 24 32 -0.810180491440103
+9 0 1 0 0 24 24 32 -0.912605428003539
+9 0 1 0 0 25 24 32 -0.977011251076287
+9 0 1 0 0 26 24 32 -1.00151920352993
+9 0 1 0 0 27 24 32 -0.980456270413702
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0.963643900041886
+10 0 1 0 0 10 24 32 0.995942366017945
+10 0 1 0 0 11 24 32 0.979850478111032
+10 0 1 0 0 12 24 32 0.922671059883389
+10 0 1 0 0 13 24 32 0.825816341789381
+10 0 1 0 0 14 24 32 0.694195689191357
+10 0 1 0 0 15 24 32 0.531692471677682
+10 0 1 0 0 16 24 32 0.344765373547086
+10 0 1 0 0 17 24 32 0.142132998414211
+10 0 1 0 0 18 24 32 -0.0668878378878133
+10 0 1 0 0 19 24 32 -0.272979241413653
+10 0 1 0 0 20 24 32 -0.466940529506249
+10 0 1 0 0 21 24 32 -0.639837010610067
+10 0 1 0 0 22 24 32 -0.783734416127857
+10 0 1 0 0 23 24 32 -0.893404149512095
+10 0 1 0 0 24 24 32 -0.96615111840316
+10 0 1 0 0 25 24 32 -0.998213999308734
+10 0 1 0 0 26 24 32 -0.989377376233966
+10 0 1 0 0 27 24 32 -0.935042757010469
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -0.547363834983518
+10 0 0 0 0 2 24 32 -0.159674240572258
+10 0 0 0 0 4 24 32 0.255512148718825
+10 0 0 0 0 6 24 32 0.626582139310734
+10 0 0 0 0 8 24 32 0.889361745702723
+10 0 0 0 0 10 24 32 0.995942366017945
+10 0 0 0 0 12 24 32 0.922671059883389
+10 0 0 0 0 14 24 32 0.694195689191357
+10 0 0 0 0 16 24 32 0.344765373547086
+10 0 0 0 0 18 24 32 -0.0668878378878133
+10 0 0 0 0 20 24 32 -0.466940529506249
+10 0 0 0 0 22 24 32 -0.783734416127857
+10 0 0 0 0 24 24 32 -0.96615111840316
+10 0 0 0 0 26 24 32 -0.989377376233966
+10 0 0 0 0 28 24 32 -0.840963717969235
+10 0 0 0 0 30 24 32 -0.547363834983518
+10 0 0 0 0 32 24 32 -0.159674240572258
+10 0 0 0 0 34 24 32 0.255512148718825
+10 0 0 0 0 36 24 32 0.626582139310734
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0.990862343195352
+11 0 1 0 0 10 24 32 0.989399304552934
+11 0 1 0 0 11 24 32 0.939489465188464
+11 0 1 0 0 12 24 32 0.849971010247898
+11 0 1 0 0 13 24 32 0.723384595787346
+11 0 1 0 0 14 24 32 0.566808432541227
+11 0 1 0 0 15 24 32 0.385798848488962
+11 0 1 0 0 16 24 32 0.186888070181447
+11 0 1 0 0 17 24 32 -0.0210976903038834
+11 0 1 0 0 18 24 32 -0.228505777201883
+11 0 1 0 0 19 24 32 -0.425914689196233
+11 0 1 0 0 20 24 32 -0.604337002942718
+11 0 1 0 0 21 24 32 -0.755477243535586
+11 0 1 0 0 22 24 32 -0.872890400703198
+11 0 1 0 0 23 24 32 -0.953209463812765
+11 0 1 0 0 24 24 32 -0.994300389514158
+11 0 1 0 0 25 24 32 -0.993104928532762
+11 0 1 0 0 26 24 32 -0.951474944205666
+11 0 1 0 0 27 24 32 -0.866113458649678
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 0.992607882518786
+12 0 1 0 0 10 24 32 0.956492977940717
+12 0 1 0 0 11 24 32 0.874051393946943
+12 0 1 0 0 12 24 32 0.754663383069547
+12 0 1 0 0 13 24 32 0.601980470255447
+12 0 1 0 0 14 24 32 0.424376195584286
+12 0 1 0 0 15 24 32 0.229367212675212
+12 0 1 0 0 16 24 32 0.0238122268544599
+12 0 1 0 0 17 24 32 -0.18382421716438
+12 0 1 0 0 18 24 32 -0.383976778021339
+12 0 1 0 0 19 24 32 -0.567329174849875
+12 0 1 0 0 20 24 32 -0.725323103317815
+12 0 1 0 0 21 24 32 -0.850725348460094
+12 0 1 0 0 22 24 32 -0.938946328644936
+12 0 1 0 0 23 24 32 -0.988060500800674
+12 0 1 0 0 24 24 32 -0.996231328131393
+12 0 1 0 0 25 24 32 -0.961870195729411
+12 0 1 0 0 26 24 32 -0.887794319168858
+12 0 1 0 0 27 24 32 -0.772977319575731
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -0.254045677634597
+12 0 0 0 0 2 24 32 0.160539549691718
+12 0 0 0 0 4 24 32 0.547116262009412
+12 0 0 0 0 6 24 32 0.839126692293024
+12 0 0 0 0 8 24 32 0.985342628313408
+12 0 0 0 0 10 24 32 0.956492977940717
+12 0 0 0 0 12 24 32 0.754663383069547
+12 0 0 0 0 14 24 32 0.424376195584286
+12 0 0 0 0 16 24 32 0.0238122268544599
+12 0 0 0 0 18 24 32 -0.383976778021339
+12 0 0 0 0 20 24 32 -0.725323103317815
+12 0 0 0 0 22 24 32 -0.938946328644936
+12 0 0 0 0 24 24 32 -0.996231328131393
+12 0 0 0 0 26 24 32 -0.887794319168858
+12 0 0 0 0 28 24 32 -0.625265973203273
+12 0 0 0 0 30 24 32 -0.254045677634597
+12 0 0 0 0 32 24 32 0.160539549691718
+12 0 0 0 0 34 24 32 0.547116262009412
+12 0 0 0 0 36 24 32 0.839126692293024
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/phi.yl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/phi.yl
new file mode 100644
index 000000000..44df97d7b
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/phi.yl
@@ -0,0 +1,622 @@
+# SPACETIMETOY::phi y (phi)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -4.82375099065957e-15
+0 0 1 0 0 18 14 32 0.142314838273281
+0 0 1 0 0 18 15 32 0.281732556841426
+0 0 1 0 0 18 16 32 0.415415013001883
+0 0 1 0 0 18 17 32 0.540640817455595
+0 0 1 0 0 18 18 32 0.654860733945283
+0 0 1 0 0 18 19 32 0.755749574354257
+0 0 1 0 0 18 20 32 0.84125353283118
+0 0 1 0 0 18 21 32 0.909631995354518
+0 0 1 0 0 18 22 32 0.959492973614497
+0 0 1 0 0 18 23 32 0.989821441880933
+0 0 1 0 0 18 24 32 1
+0 0 1 0 0 18 25 32 0.989821441880933
+0 0 1 0 0 18 26 32 0.959492973614497
+0 0 1 0 0 18 27 32 0.909631995354518
+0 0 1 0 0 18 28 32 0.84125353283118
+0 0 1 0 0 18 29 32 0.755749574354257
+0 0 1 0 0 18 30 32 0.654860733945283
+0 0 1 0 0 18 31 32 0.540640817455595
+0 0 1 0 0 18 32 32 0.415415013001883
+0 0 1 0 0 18 33 32 0.281732556841426
+0 0 1 0 0 18 34 32 0.142314838273281
+0 0 1 0 0 18 35 32 -5.0457955955846e-15
+0 0 1 0 0 18 36 32 -0.142314838273291
+0 0 1 0 0 18 37 32 -0.281732556841435
+0 0 1 0 0 18 38 32 -0.415415013001892
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -0.959492973614494
+0 0 0 0 0 18 2 32 -1
+0 0 0 0 0 18 4 32 -0.9594929736145
+0 0 0 0 0 18 6 32 -0.841253532831185
+0 0 0 0 0 18 8 32 -0.65486073394529
+0 0 0 0 0 18 10 32 -0.415415013001892
+0 0 0 0 0 18 12 32 -0.142314838273291
+0 0 0 0 0 18 14 32 0.142314838273281
+0 0 0 0 0 18 16 32 0.415415013001883
+0 0 0 0 0 18 18 32 0.654860733945283
+0 0 0 0 0 18 20 32 0.84125353283118
+0 0 0 0 0 18 22 32 0.959492973614497
+0 0 0 0 0 18 24 32 1
+0 0 0 0 0 18 26 32 0.959492973614497
+0 0 0 0 0 18 28 32 0.84125353283118
+0 0 0 0 0 18 30 32 0.654860733945283
+0 0 0 0 0 18 32 32 0.415415013001883
+0 0 0 0 0 18 34 32 0.142314838273281
+0 0 0 0 0 18 36 32 -0.142314838273291
+0 0 0 0 0 18 38 32 -0.415415013001892
+0 0 0 0 0 18 40 32 -0.65486073394529
+0 0 0 0 0 18 42 32 -0.841253532831186
+0 0 0 0 0 18 44 32 -0.9594929736145
+0 0 0 0 0 18 46 32 -1
+0 0 0 0 0 18 48 32 -0.959492973614494
+0 0 0 0 0 18 50 32 -0.841253532831175
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0.160358235959828
+1 0 1 0 0 18 14 32 0.299171116764982
+1 0 1 0 0 18 15 32 0.434256893603913
+1 0 1 0 0 18 16 32 0.558363612908261
+1 0 1 0 0 18 17 32 0.670736191180352
+1 0 1 0 0 18 18 32 0.769454514843462
+1 0 1 0 0 18 19 32 0.852508963507945
+1 0 1 0 0 18 20 32 0.918208788108246
+1 0 1 0 0 18 21 32 0.96521652967815
+1 0 1 0 0 18 22 32 0.992575246158427
+1 0 1 0 0 18 23 32 0.999727992977562
+1 0 1 0 0 18 24 32 0.986529160837136
+1 0 1 0 0 18 25 32 0.953247439897239
+1 0 1 0 0 18 26 32 0.900560350019649
+1 0 1 0 0 18 27 32 0.829540448417254
+1 0 1 0 0 18 28 32 0.741633495482195
+1 0 1 0 0 18 29 32 0.63862902327351
+1 0 1 0 0 18 30 32 0.522623905805
+1 0 1 0 0 18 31 32 0.39597967273719
+1 0 1 0 0 18 32 32 0.261274435443531
+1 0 1 0 0 18 33 32 0.121250404097494
+1 0 1 0 0 18 34 32 -0.021241935818676
+1 0 1 0 0 18 35 32 -0.163301851178262
+1 0 1 0 0 18 36 32 -0.301557409607049
+1 0 1 0 0 18 37 32 -0.43180200998274
+1 0 1 0 0 18 38 32 -0.555775071251447
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0.319996970631104
+2 0 1 0 0 18 14 32 0.451510694721464
+2 0 1 0 0 18 15 32 0.574509151387857
+2 0 1 0 0 18 16 32 0.686266945229209
+2 0 1 0 0 18 17 32 0.7828582519911
+2 0 1 0 0 18 18 32 0.863435932650009
+2 0 1 0 0 18 19 32 0.926436547663781
+2 0 1 0 0 18 20 32 0.970577586189505
+2 0 1 0 0 18 21 32 0.99496046397504
+2 0 1 0 0 18 22 32 0.999088815943088
+2 0 1 0 0 18 23 32 0.982878600752761
+2 0 1 0 0 18 24 32 0.946659811638936
+2 0 1 0 0 18 25 32 0.891169758701606
+2 0 1 0 0 18 26 32 0.817538059398477
+2 0 1 0 0 18 27 32 0.727263642791074
+2 0 1 0 0 18 28 32 0.622184235671604
+2 0 1 0 0 18 29 32 0.504438951745033
+2 0 1 0 0 18 30 32 0.376424745442744
+2 0 1 0 0 18 31 32 0.240747616842568
+2 0 1 0 0 18 32 32 0.100169561022274
+2 0 1 0 0 18 33 32 -0.0424476581952741
+2 0 1 0 0 18 34 32 -0.184200765500904
+2 0 1 0 0 18 35 32 -0.322113725667527
+2 0 1 0 0 18 36 32 -0.452112620526372
+2 0 1 0 0 18 37 32 -0.57369452914691
+2 0 1 0 0 18 38 32 -0.684375520351128
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 -0.998467688471524
+2 0 0 0 0 18 2 32 -0.946645972224922
+2 0 0 0 0 18 4 32 -0.818132629229041
+2 0 0 0 0 18 6 32 -0.623339046235111
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+2 0 0 0 0 18 48 32 -0.818132629229041
+2 0 0 0 0 18 50 32 -0.623339046235111
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0.46712464376401
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+3 0 1 0 0 18 37 32 -0.696930655205263
+3 0 1 0 0 18 38 32 -0.791884380034566
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0.605908203551579
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+4 0 1 0 0 18 37 32 -0.804578530967873
+4 0 1 0 0 18 38 32 -0.881412310390551
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 -0.933556336551482
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+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0.724995658484575
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+5 0 1 0 0 18 38 32 -0.945265042888178
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0.828256228435458
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+6 0 1 0 0 18 37 32 -0.950808180976683
+6 0 1 0 0 18 38 32 -0.986007333704416
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 -0.771793469714844
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+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0.906794326233056
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+7 0 1 0 0 18 38 32 -0.999613102631928
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0.963588080251341
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+8 0 1 0 0 18 38 32 -0.987424376406493
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -0.530260739982713
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+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0.993204082840194
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+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 0.997464881536812
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+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -0.234282539182031
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+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0.975085053045297
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+11 0 1 0 0 18 38 32 -0.800519013003219
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0.926439210290254
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+12 0 1 0 0 18 29 32 -0.895015000026504
+12 0 1 0 0 18 30 32 -0.94918768647864
+12 0 1 0 0 18 31 32 -0.983421831521254
+12 0 1 0 0 18 32 32 -0.996775218079912
+12 0 1 0 0 18 33 32 -0.989880787481232
+12 0 1 0 0 18 34 32 -0.964568845607093
+12 0 1 0 0 18 35 32 -0.921622260238911
+12 0 1 0 0 18 36 32 -0.861152433201553
+12 0 1 0 0 18 37 32 -0.785277418793956
+12 0 1 0 0 18 38 32 -0.69215914919963
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0.0852358246588438
+12 0 0 0 0 18 2 32 0.36174230844333
+12 0 0 0 0 18 4 32 0.608952999091625
+12 0 0 0 0 18 6 32 0.806832333225024
+12 0 0 0 0 18 8 32 0.939367386135846
+12 0 0 0 0 18 10 32 0.995811140953929
+12 0 0 0 0 18 12 32 0.970669164390778
+12 0 0 0 0 18 14 32 0.862510097791465
+12 0 0 0 0 18 16 32 0.678565025957887
+12 0 0 0 0 18 18 32 0.442287833646468
+12 0 0 0 0 18 20 32 0.175206157268163
+12 0 0 0 0 18 22 32 -0.108248211024584
+12 0 0 0 0 18 24 32 -0.383976778021339
+12 0 0 0 0 18 26 32 -0.628657773480736
+12 0 0 0 0 18 28 32 -0.822400203706648
+12 0 0 0 0 18 30 32 -0.94918768647864
+12 0 0 0 0 18 32 32 -0.996775218079912
+12 0 0 0 0 18 34 32 -0.964568845607093
+12 0 0 0 0 18 36 32 -0.861152433201553
+12 0 0 0 0 18 38 32 -0.69215914919963
+12 0 0 0 0 18 40 32 -0.464607565206321
+12 0 0 0 0 18 42 32 -0.198045216541083
+12 0 0 0 0 18 44 32 0.0852358246588438
+12 0 0 0 0 18 46 32 0.36174230844333
+12 0 0 0 0 18 48 32 0.608952999091625
+12 0 0 0 0 18 50 32 0.806832333225024
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/phi.zl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/phi.zl
new file mode 100644
index 000000000..cd7fb8456
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/phi.zl
@@ -0,0 +1,782 @@
+# SPACETIMETOY::phi z (phi)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -1
+0 0 1 0 0 18 24 18 -0.978147600733805
+0 0 1 0 0 18 24 19 -0.9135454576426
+0 0 1 0 0 18 24 20 -0.809016994374946
+0 0 1 0 0 18 24 21 -0.669130606358856
+0 0 1 0 0 18 24 22 -0.499999999999998
+0 0 1 0 0 18 24 23 -0.309016994374945
+0 0 1 0 0 18 24 24 -0.104528463267652
+0 0 1 0 0 18 24 25 0.104528463267655
+0 0 1 0 0 18 24 26 0.309016994374949
+0 0 1 0 0 18 24 27 0.500000000000001
+0 0 1 0 0 18 24 28 0.669130606358859
+0 0 1 0 0 18 24 29 0.809016994374948
+0 0 1 0 0 18 24 30 0.913545457642601
+0 0 1 0 0 18 24 31 0.978147600733806
+0 0 1 0 0 18 24 32 1
+0 0 1 0 0 18 24 33 0.978147600733806
+0 0 1 0 0 18 24 34 0.913545457642601
+0 0 1 0 0 18 24 35 0.809016994374948
+0 0 1 0 0 18 24 36 0.669130606358859
+0 0 1 0 0 18 24 37 0.500000000000001
+0 0 1 0 0 18 24 38 0.309016994374949
+0 0 1 0 0 18 24 39 0.104528463267655
+0 0 1 0 0 18 24 40 -0.104528463267652
+0 0 1 0 0 18 24 41 -0.309016994374945
+0 0 1 0 0 18 24 42 -0.499999999999998
+0 0 1 0 0 18 24 43 -0.669130606358856
+0 0 1 0 0 18 24 44 -0.809016994374946
+0 0 1 0 0 18 24 45 -0.9135454576426
+0 0 1 0 0 18 24 46 -0.978147600733805
+0 0 1 0 0 18 24 47 -1
+0 0 1 0 0 18 24 48 -0.978147600733806
+0 0 1 0 0 18 24 49 -0.913545457642603
+0 0 1 0 0 18 24 50 -0.80901699437495
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 0.913545457642604
+0 0 0 0 0 18 24 2 1
+0 0 0 0 0 18 24 4 0.913545457642598
+0 0 0 0 0 18 24 6 0.669130606358854
+0 0 0 0 0 18 24 8 0.309016994374942
+0 0 0 0 0 18 24 10 -0.104528463267659
+0 0 0 0 0 18 24 12 -0.500000000000004
+0 0 0 0 0 18 24 14 -0.80901699437495
+0 0 0 0 0 18 24 16 -0.978147600733806
+0 0 0 0 0 18 24 18 -0.978147600733805
+0 0 0 0 0 18 24 20 -0.809016994374946
+0 0 0 0 0 18 24 22 -0.499999999999998
+0 0 0 0 0 18 24 24 -0.104528463267652
+0 0 0 0 0 18 24 26 0.309016994374949
+0 0 0 0 0 18 24 28 0.669130606358859
+0 0 0 0 0 18 24 30 0.913545457642601
+0 0 0 0 0 18 24 32 1
+0 0 0 0 0 18 24 34 0.913545457642601
+0 0 0 0 0 18 24 36 0.669130606358859
+0 0 0 0 0 18 24 38 0.309016994374949
+0 0 0 0 0 18 24 40 -0.104528463267652
+0 0 0 0 0 18 24 42 -0.499999999999998
+0 0 0 0 0 18 24 44 -0.809016994374946
+0 0 0 0 0 18 24 46 -0.978147600733805
+0 0 0 0 0 18 24 48 -0.978147600733806
+0 0 0 0 0 18 24 50 -0.80901699437495
+0 0 0 0 0 18 24 52 -0.500000000000003
+0 0 0 0 0 18 24 54 -0.104528463267659
+0 0 0 0 0 18 24 56 0.309016994374942
+0 0 0 0 0 18 24 58 0.669130606358854
+0 0 0 0 0 18 24 60 0.913545457642598
+0 0 0 0 0 18 24 62 1
+0 0 0 0 0 18 24 64 0.913545457642604
+0 0 0 0 0 18 24 66 0.669130606358864
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -0.985987560869576
+1 0 1 0 0 18 24 18 -0.931782127243204
+1 0 1 0 0 18 24 19 -0.834056957248569
+1 0 1 0 0 18 24 20 -0.702132436769057
+1 0 1 0 0 18 24 21 -0.538759929887645
+1 0 1 0 0 18 24 22 -0.351841028813169
+1 0 1 0 0 18 24 23 -0.149544986458986
+1 0 1 0 0 18 24 24 0.0592868893999165
+1 0 1 0 0 18 24 25 0.265527643701983
+1 0 1 0 0 18 24 26 0.460163565831275
+1 0 1 0 0 18 24 27 0.634688132023965
+1 0 1 0 0 18 24 28 0.78147378127565
+1 0 1 0 0 18 24 29 0.894105276358339
+1 0 1 0 0 18 24 30 0.967660080471041
+1 0 1 0 0 18 24 31 0.998923495718921
+1 0 1 0 0 18 24 32 0.986529160837136
+1 0 1 0 0 18 24 33 0.931018767734638
+1 0 1 0 0 18 24 34 0.834818386958424
+1 0 1 0 0 18 24 35 0.702132436769059
+1 0 1 0 0 18 24 36 0.538759929887648
+1 0 1 0 0 18 24 37 0.351841028813172
+1 0 1 0 0 18 24 38 0.149544986458989
+1 0 1 0 0 18 24 39 -0.0592868893999132
+1 0 1 0 0 18 24 40 -0.26552764370198
+1 0 1 0 0 18 24 41 -0.460163565831272
+1 0 1 0 0 18 24 42 -0.634688132023963
+1 0 1 0 0 18 24 43 -0.781473781275648
+1 0 1 0 0 18 24 44 -0.894105276358337
+1 0 1 0 0 18 24 45 -0.96766008047104
+1 0 1 0 0 18 24 46 -0.998923495718921
+1 0 1 0 0 18 24 47 -0.986529160837137
+1 0 1 0 0 18 24 48 -0.930323953029553
+1 0 1 0 0 18 24 49 -0.835557169660048
+1 0 1 0 0 18 24 50 -0.70397749959073
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -0.945972837387327
+2 0 1 0 0 18 24 18 -0.859418069500438
+2 0 1 0 0 18 24 19 -0.732599316386875
+2 0 1 0 0 18 24 20 -0.576389654900803
+2 0 1 0 0 18 24 21 -0.393994761644166
+2 0 1 0 0 18 24 22 -0.194292990443707
+2 0 1 0 0 18 24 23 0.013900316760349
+2 0 1 0 0 18 24 24 0.221486113420858
+2 0 1 0 0 18 24 25 0.419391904116586
+2 0 1 0 0 18 24 26 0.598968256136784
+2 0 1 0 0 18 24 27 0.752366821195227
+2 0 1 0 0 18 24 28 0.87288334591088
+2 0 1 0 0 18 24 29 0.95525067985122
+2 0 1 0 0 18 24 30 0.995868975280736
+2 0 1 0 0 18 24 31 0.99296301778095
+2 0 1 0 0 18 24 32 0.946659811638936
+2 0 1 0 0 18 24 33 0.858983029150533
+2 0 1 0 0 18 24 34 0.733764566430365
+2 0 1 0 0 18 24 35 0.576477071164152
+2 0 1 0 0 18 24 36 0.393994761644169
+2 0 1 0 0 18 24 37 0.19429299044371
+2 0 1 0 0 18 24 38 -0.0139003167603456
+2 0 1 0 0 18 24 39 -0.221486113420854
+2 0 1 0 0 18 24 40 -0.419391904116583
+2 0 1 0 0 18 24 41 -0.598968256136781
+2 0 1 0 0 18 24 42 -0.752366821195225
+2 0 1 0 0 18 24 43 -0.872883345910878
+2 0 1 0 0 18 24 44 -0.955250679851219
+2 0 1 0 0 18 24 45 -0.995868975280735
+2 0 1 0 0 18 24 46 -0.992963017780951
+2 0 1 0 0 18 24 47 -0.946582250337102
+2 0 1 0 0 18 24 48 -0.857977578201649
+2 0 1 0 0 18 24 49 -0.734107097663696
+2 0 1 0 0 18 24 50 -0.577734043764381
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 0.994978782650144
+2 0 0 0 0 18 24 2 0.946645972224926
+2 0 0 0 0 18 24 4 0.73462947319334
+2 0 0 0 0 18 24 6 0.395588864347381
+2 0 0 0 0 18 24 8 -0.0118526529562487
+2 0 0 0 0 18 24 10 -0.417244738885771
+2 0 0 0 0 18 24 12 -0.750491418912491
+2 0 0 0 0 18 24 14 -0.953971314608741
+2 0 0 0 0 18 24 16 -0.992500903451822
+2 0 0 0 0 18 24 18 -0.859418069500438
+2 0 0 0 0 18 24 20 -0.576389654900803
+2 0 0 0 0 18 24 22 -0.194292990443707
+2 0 0 0 0 18 24 24 0.221486113420858
+2 0 0 0 0 18 24 26 0.598968256136784
+2 0 0 0 0 18 24 28 0.87288334591088
+2 0 0 0 0 18 24 30 0.995868975280736
+2 0 0 0 0 18 24 32 0.946659811638936
+2 0 0 0 0 18 24 34 0.733764566430365
+2 0 0 0 0 18 24 36 0.393994761644169
+2 0 0 0 0 18 24 38 -0.0139003167603456
+2 0 0 0 0 18 24 40 -0.419391904116583
+2 0 0 0 0 18 24 42 -0.752366821195225
+2 0 0 0 0 18 24 44 -0.955250679851219
+2 0 0 0 0 18 24 46 -0.992963017780951
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+2 0 0 0 0 18 24 50 -0.577734043764381
+2 0 0 0 0 18 24 52 -0.196154553312441
+2 0 0 0 0 18 24 54 0.219341841415391
+2 0 0 0 0 18 24 56 0.596912039104431
+2 0 0 0 0 18 24 58 0.87127072245668
+2 0 0 0 0 18 24 60 0.994978782650144
+2 0 0 0 0 18 24 62 0.946645972224926
+2 0 0 0 0 18 24 64 0.73462947319334
+2 0 0 0 0 18 24 66 0.395588864347381
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -0.882567826104754
+3 0 1 0 0 18 24 18 -0.766578048720388
+3 0 1 0 0 18 24 19 -0.612124626851545
+3 0 1 0 0 18 24 20 -0.43513088950416
+3 0 1 0 0 18 24 21 -0.238683128871491
+3 0 1 0 0 18 24 22 -0.0315730455166571
+3 0 1 0 0 18 24 23 0.176944167937888
+3 0 1 0 0 18 24 24 0.377728815764928
+3 0 1 0 0 18 24 25 0.562004901799083
+3 0 1 0 0 18 24 26 0.721718676825895
+3 0 1 0 0 18 24 27 0.849889882484969
+3 0 1 0 0 18 24 28 0.940916822055322
+3 0 1 0 0 18 24 29 0.990821181482012
+3 0 1 0 0 18 24 30 0.997421900790407
+3 0 1 0 0 18 24 31 0.960430496872966
+3 0 1 0 0 18 24 32 0.881463671585329
+3 0 1 0 0 18 24 33 0.763972654117436
+3 0 1 0 0 18 24 34 0.613092365717086
+3 0 1 0 0 18 24 35 0.435416998991326
+3 0 1 0 0 18 24 36 0.238711820047072
+3 0 1 0 0 18 24 37 0.0315737891003615
+3 0 1 0 0 18 24 38 -0.176944167937885
+3 0 1 0 0 18 24 39 -0.377728815764924
+3 0 1 0 0 18 24 40 -0.56200490179908
+3 0 1 0 0 18 24 41 -0.721718676825893
+3 0 1 0 0 18 24 42 -0.849889882484967
+3 0 1 0 0 18 24 43 -0.940916822055321
+3 0 1 0 0 18 24 44 -0.990821181482012
+3 0 1 0 0 18 24 45 -0.997421222260422
+3 0 1 0 0 18 24 46 -0.960404913383546
+3 0 1 0 0 18 24 47 -0.881219427553547
+3 0 1 0 0 18 24 48 -0.763225166647273
+3 0 1 0 0 18 24 49 -0.6153006118389
+3 0 1 0 0 18 24 50 -0.43973293632761
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -0.794496788406299
+4 0 1 0 0 18 24 18 -0.65142119116476
+4 0 1 0 0 18 24 19 -0.476029543549799
+4 0 1 0 0 18 24 20 -0.282263130293869
+4 0 1 0 0 18 24 21 -0.0769447948789911
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+4 0 1 0 0 18 24 24 0.523834790799754
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+4 0 1 0 0 18 24 26 0.825132743884397
+4 0 1 0 0 18 24 27 0.924651091503547
+4 0 1 0 0 18 24 28 0.98375774945578
+4 0 1 0 0 18 24 29 0.999869473163372
+4 0 1 0 0 18 24 30 0.972282102987674
+4 0 1 0 0 18 24 31 0.902201339384252
+4 0 1 0 0 18 24 32 0.79269004800739
+4 0 1 0 0 18 24 33 0.648534397783736
+4 0 1 0 0 18 24 34 0.47603468236362
+4 0 1 0 0 18 24 35 0.282729967056372
+4 0 1 0 0 18 24 36 0.0770685954998566
+4 0 1 0 0 18 24 37 -0.131961043496154
+4 0 1 0 0 18 24 38 -0.335223351672042
+4 0 1 0 0 18 24 39 -0.523834790799751
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+4 0 1 0 0 18 24 43 -0.983757749455779
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+4 0 1 0 0 18 24 45 -0.972272888845397
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+4 0 1 0 0 18 24 49 -0.478564373146229
+4 0 1 0 0 18 24 50 -0.286825407469847
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 0.972771027898471
+4 0 0 0 0 18 24 2 0.795047905556769
+4 0 0 0 0 18 24 4 0.479853777560824
+4 0 0 0 0 18 24 6 0.0816885720899012
+4 0 0 0 0 18 24 8 -0.330601329612744
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+4 0 0 0 0 18 24 18 -0.65142119116476
+4 0 0 0 0 18 24 20 -0.282263130293869
+4 0 0 0 0 18 24 22 0.131971391513354
+4 0 0 0 0 18 24 24 0.523834790799754
+4 0 0 0 0 18 24 26 0.825132743884397
+4 0 0 0 0 18 24 28 0.98375774945578
+4 0 0 0 0 18 24 30 0.972282102987674
+4 0 0 0 0 18 24 32 0.79269004800739
+4 0 0 0 0 18 24 34 0.47603468236362
+4 0 0 0 0 18 24 36 0.0770685954998566
+4 0 0 0 0 18 24 38 -0.335223351672042
+4 0 0 0 0 18 24 40 -0.689552135931301
+4 0 0 0 0 18 24 42 -0.924651091503545
+4 0 0 0 0 18 24 44 -0.999869227787417
+4 0 0 0 0 18 24 46 -0.90209391751219
+4 0 0 0 0 18 24 48 -0.648725401840093
+4 0 0 0 0 18 24 50 -0.286825407469847
+4 0 0 0 0 18 24 52 0.127236808297689
+4 0 0 0 0 18 24 54 0.519516986422515
+4 0 0 0 0 18 24 56 0.821967957931234
+4 0 0 0 0 18 24 58 0.982293202169172
+4 0 0 0 0 18 24 60 0.972771027898471
+4 0 0 0 0 18 24 62 0.795047905556769
+4 0 0 0 0 18 24 64 0.479853777560824
+4 0 0 0 0 18 24 66 0.0816885720899012
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -0.687870984007894
+5 0 1 0 0 18 24 18 -0.521935116765672
+5 0 1 0 0 18 24 19 -0.327879936366956
+5 0 1 0 0 18 24 20 -0.122177602915321
+5 0 1 0 0 18 24 21 0.0868851035028359
+5 0 1 0 0 18 24 22 0.291983782864618
+5 0 1 0 0 18 24 23 0.484506490482791
+5 0 1 0 0 18 24 24 0.655895962967774
+5 0 1 0 0 18 24 25 0.798622975434594
+5 0 1 0 0 18 24 26 0.906446433475562
+5 0 1 0 0 18 24 27 0.974653833487235
+5 0 1 0 0 18 24 28 1.00026418406753
+5 0 1 0 0 18 24 29 0.982158190003986
+5 0 1 0 0 18 24 30 0.921127170119384
+5 0 1 0 0 18 24 31 0.819838472842005
+5 0 1 0 0 18 24 32 0.682718900279965
+5 0 1 0 0 18 24 33 0.515761235726935
+5 0 1 0 0 18 24 34 0.326262330275644
+5 0 1 0 0 18 24 35 0.122504195410948
+5 0 1 0 0 18 24 36 -0.0866079606335557
+5 0 1 0 0 18 24 37 -0.291934933207269
+5 0 1 0 0 18 24 38 -0.484502948340592
+5 0 1 0 0 18 24 39 -0.655895859728341
+5 0 1 0 0 18 24 40 -0.798622974708436
+5 0 1 0 0 18 24 41 -0.906446433475561
+5 0 1 0 0 18 24 42 -0.974653832824608
+5 0 1 0 0 18 24 43 -1.00026409098709
+5 0 1 0 0 18 24 44 -0.982155040805456
+5 0 1 0 0 18 24 45 -0.921084602903572
+5 0 1 0 0 18 24 46 -0.819606135597371
+5 0 1 0 0 18 24 47 -0.682512687842613
+5 0 1 0 0 18 24 48 -0.517485189212063
+5 0 1 0 0 18 24 49 -0.332074725482635
+5 0 1 0 0 18 24 50 -0.13035178399717
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -0.560416711701995
+6 0 1 0 0 18 24 18 -0.37545728554575
+6 0 1 0 0 18 24 19 -0.171464051448256
+6 0 1 0 0 18 24 20 0.0405863130234585
+6 0 1 0 0 18 24 21 0.248308928100374
+6 0 1 0 0 18 24 22 0.444201080004847
+6 0 1 0 0 18 24 23 0.620808275204722
+6 0 1 0 0 18 24 24 0.770381667356832
+6 0 1 0 0 18 24 25 0.886301895759592
+6 0 1 0 0 18 24 26 0.963487658328422
+6 0 1 0 0 18 24 27 0.998564425790228
+6 0 1 0 0 18 24 28 0.989999136639487
+6 0 1 0 0 18 24 29 0.938166134684811
+6 0 1 0 0 18 24 30 0.845330770812222
+6 0 1 0 0 18 24 31 0.715550395920623
+6 0 1 0 0 18 24 32 0.554497035122562
+6 0 1 0 0 18 24 33 0.369209493130489
+6 0 1 0 0 18 24 34 0.16778572461279
+6 0 1 0 0 18 24 35 -0.0409710851848517
+6 0 1 0 0 18 24 36 -0.247937261967988
+6 0 1 0 0 18 24 37 -0.444067390661108
+6 0 1 0 0 18 24 38 -0.620789643515189
+6 0 1 0 0 18 24 39 -0.770380410066464
+6 0 1 0 0 18 24 40 -0.886301856001752
+6 0 1 0 0 18 24 41 -0.963487657479735
+6 0 1 0 0 18 24 42 -0.998564390036245
+6 0 1 0 0 18 24 43 -0.989998019482279
+6 0 1 0 0 18 24 44 -0.938149851905886
+6 0 1 0 0 18 24 45 -0.845217169577323
+6 0 1 0 0 18 24 46 -0.715260005133301
+6 0 1 0 0 18 24 47 -0.554985448709388
+6 0 1 0 0 18 24 48 -0.372926087778959
+6 0 1 0 0 18 24 49 -0.174317725852674
+6 0 1 0 0 18 24 50 0.0334680430257824
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 0.849517568013997
+6 0 0 0 0 18 24 2 0.561234706264648
+6 0 0 0 0 18 24 4 0.175909265144898
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+6 0 0 0 0 18 24 64 0.175909265144898
+6 0 0 0 0 18 24 66 -0.239832486003908
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -0.421525071731173
+7 0 1 0 0 18 24 18 -0.222773964802752
+7 0 1 0 0 18 24 19 -0.0106522362580561
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+7 0 1 0 0 18 24 49 -0.0151388419090552
+7 0 1 0 0 18 24 50 0.1920878737371
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -0.267892212326824
+8 0 1 0 0 18 24 18 -0.0602897321040928
+8 0 1 0 0 18 24 19 0.150356560978947
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+8 0 1 0 0 18 24 49 0.147411462401484
+8 0 1 0 0 18 24 50 0.349689774757419
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 0.638309008746076
+8 0 0 0 0 18 24 2 0.269736091609722
+8 0 0 0 0 18 24 4 -0.145476646241414
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+8 0 0 0 0 18 24 64 -0.145476646241414
+8 0 0 0 0 18 24 66 -0.53553515034357
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -0.111324109577084
+9 0 1 0 0 18 24 18 0.099414460052892
+9 0 1 0 0 18 24 19 0.307347021978594
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+9 0 1 0 0 18 24 49 0.302884710662008
+9 0 1 0 0 18 24 50 0.493923079393651
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 0.052263679482982
+10 0 1 0 0 18 24 18 0.260532262500647
+10 0 1 0 0 18 24 19 0.455977717031253
+10 0 1 0 0 18 24 20 0.633426681664613
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+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 0.361341506291145
+10 0 0 0 0 18 24 2 -0.0489905171024341
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+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 0.209902544897841
+11 0 1 0 0 18 24 18 0.410233193842092
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+11 0 1 0 0 18 24 49 0.588840235744665
+11 0 1 0 0 18 24 50 0.743785925330961
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 0.366102904505745
+12 0 1 0 0 18 24 18 0.552794081209587
+12 0 1 0 0 18 24 19 0.71247179524484
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+12 0 1 0 0 18 24 50 0.842183039381385
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 0.0475846072596532
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+12 0 0 0 0 18 24 64 -0.708520193794506
+12 0 0 0 0 18 24 66 -0.932788726536799
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/psi.xl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/psi.xl
new file mode 100644
index 000000000..efef3c558
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/psi.xl
@@ -0,0 +1,482 @@
+# SPACETIMETOY::psi x (psi)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 1.04241637624687
+0 0 1 0 0 10 24 32 1.09005710229131
+0 0 1 0 0 11 24 32 1.09005710229131
+0 0 1 0 0 12 24 32 1.04241637624686
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+0 0 1 0 0 18 24 32 -1.08122938250794e-16
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+0 0 1 0 0 21 24 32 -0.644248750950061
+0 0 1 0 0 22 24 32 -0.814532388693862
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+0 0 1 0 0 25 24 32 -1.09005710229131
+0 0 1 0 0 26 24 32 -1.09005710229131
+0 0 1 0 0 27 24 32 -1.04241637624687
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -0.644248750950058
+0 0 0 0 0 2 24 32 -0.227883987553
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+0 0 0 0 0 6 24 32 0.644248750950063
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+0 0 0 0 0 28 24 32 -0.949217052491693
+0 0 0 0 0 30 24 32 -0.644248750950063
+0 0 0 0 0 32 24 32 -0.227883987553006
+0 0 0 0 0 34 24 32 0.227883987553
+0 0 0 0 0 36 24 32 0.644248750950058
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 1.0815619063396
+1 0 1 0 0 10 24 32 1.09374280200527
+1 0 1 0 0 11 24 32 1.05337441551003
+1 0 1 0 0 12 24 32 0.973245078555849
+1 0 1 0 0 13 24 32 0.847229586187008
+1 0 1 0 0 14 24 32 0.684186095443184
+1 0 1 0 0 15 24 32 0.491240389239356
+1 0 1 0 0 16 24 32 0.276825120792848
+1 0 1 0 0 17 24 32 0.0503112662133864
+1 0 1 0 0 18 24 32 -0.178401432119842
+1 0 1 0 0 19 24 32 -0.399317131804383
+1 0 1 0 0 20 24 32 -0.602780756692881
+1 0 1 0 0 21 24 32 -0.779899970050916
+1 0 1 0 0 22 24 32 -0.922933812342462
+1 0 1 0 0 23 24 32 -1.02563101830685
+1 0 1 0 0 24 24 32 -1.08350322724757
+1 0 1 0 0 25 24 32 -1.09069834634059
+1 0 1 0 0 26 24 32 -1.05735227162944
+1 0 1 0 0 27 24 32 -0.974057254112704
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 1.09300463321296
+2 0 1 0 0 10 24 32 1.06808640830147
+2 0 1 0 0 11 24 32 0.988567622950926
+2 0 1 0 0 12 24 32 0.877114675559307
+2 0 1 0 0 13 24 32 0.722570411071197
+2 0 1 0 0 14 24 32 0.535553492850319
+2 0 1 0 0 15 24 32 0.325113307197375
+2 0 1 0 0 16 24 32 0.100464109953173
+2 0 1 0 0 17 24 32 -0.128575850976268
+2 0 1 0 0 18 24 32 -0.351996430242662
+2 0 1 0 0 19 24 32 -0.560033076441179
+2 0 1 0 0 20 24 32 -0.74359358986236
+2 0 1 0 0 21 24 32 -0.894655495248633
+2 0 1 0 0 22 24 32 -1.00661666245917
+2 0 1 0 0 23 24 32 -1.07454872463845
+2 0 1 0 0 24 24 32 -1.09444776366525
+2 0 1 0 0 25 24 32 -1.06263719345605
+2 0 1 0 0 26 24 32 -0.995709922457008
+2 0 1 0 0 27 24 32 -0.87919052114157
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -0.329790017513403
+2 0 0 0 0 2 24 32 0.122913815774115
+2 0 0 0 0 4 24 32 0.554364733677329
+2 0 0 0 0 6 24 32 0.88996095288223
+2 0 0 0 0 8 24 32 1.07167483829235
+2 0 0 0 0 10 24 32 1.06808640830147
+2 0 0 0 0 12 24 32 0.877114675559307
+2 0 0 0 0 14 24 32 0.535553492850319
+2 0 0 0 0 16 24 32 0.100464109953173
+2 0 0 0 0 18 24 32 -0.351996430242662
+2 0 0 0 0 20 24 32 -0.74359358986236
+2 0 0 0 0 22 24 32 -1.00661666245917
+2 0 0 0 0 24 24 32 -1.09444776366525
+2 0 0 0 0 26 24 32 -0.995709922457008
+2 0 0 0 0 28 24 32 -0.725470160724599
+2 0 0 0 0 30 24 32 -0.329790017513403
+2 0 0 0 0 32 24 32 0.122913815774115
+2 0 0 0 0 34 24 32 0.554364733677329
+2 0 0 0 0 36 24 32 0.88996095288223
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 1.07646675612142
+3 0 1 0 0 10 24 32 1.01584837911158
+3 0 1 0 0 11 24 32 0.898012243337659
+3 0 1 0 0 12 24 32 0.756525281612359
+3 0 1 0 0 13 24 32 0.578333636923019
+3 0 1 0 0 14 24 32 0.37260797427615
+3 0 1 0 0 15 24 32 0.150315668807503
+3 0 1 0 0 16 24 32 -0.0785536773074482
+3 0 1 0 0 17 24 32 -0.3039898507817
+3 0 1 0 0 18 24 32 -0.516140209071645
+3 0 1 0 0 19 24 32 -0.705732763509651
+3 0 1 0 0 20 24 32 -0.864481409700759
+3 0 1 0 0 21 24 32 -0.985448070045902
+3 0 1 0 0 22 24 32 -1.0633338944543
+3 0 1 0 0 23 24 32 -1.09437455701316
+3 0 1 0 0 24 24 32 -1.07507537855394
+3 0 1 0 0 25 24 32 -1.00732109864666
+3 0 1 0 0 26 24 32 -0.910330550714223
+3 0 1 0 0 27 24 32 -0.764147942209373
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 1.03145611466615
+4 0 1 0 0 10 24 32 0.936108561791708
+4 0 1 0 0 11 24 32 0.786044518814942
+4 0 1 0 0 12 24 32 0.61458975281119
+4 0 1 0 0 13 24 32 0.418013009155314
+4 0 1 0 0 14 24 32 0.199635265957098
+4 0 1 0 0 15 24 32 -0.0284760774728354
+4 0 1 0 0 16 24 32 -0.255437005494745
+4 0 1 0 0 17 24 32 -0.471237028488384
+4 0 1 0 0 18 24 32 -0.666441748702191
+4 0 1 0 0 19 24 32 -0.832519766555395
+4 0 1 0 0 20 24 32 -0.962212641433746
+4 0 1 0 0 21 24 32 -1.0498478100776
+4 0 1 0 0 22 24 32 -1.09147575725253
+4 0 1 0 0 23 24 32 -1.08420651104457
+4 0 1 0 0 24 24 32 -1.02611869052531
+4 0 1 0 0 25 24 32 -0.927847671803475
+4 0 1 0 0 26 24 32 -0.799480657754348
+4 0 1 0 0 27 24 32 -0.626655022164894
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 0.0180749396239575
+4 0 0 0 0 2 24 32 0.459964323898609
+4 0 0 0 0 4 24 32 0.822321697926489
+4 0 0 0 0 6 24 32 1.04249217982478
+4 0 0 0 0 8 24 32 1.08251068853216
+4 0 0 0 0 10 24 32 0.936108561791708
+4 0 0 0 0 12 24 32 0.61458975281119
+4 0 0 0 0 14 24 32 0.199635265957098
+4 0 0 0 0 16 24 32 -0.255437005494745
+4 0 0 0 0 18 24 32 -0.666441748702191
+4 0 0 0 0 20 24 32 -0.962212641433746
+4 0 0 0 0 22 24 32 -1.09147575725253
+4 0 0 0 0 24 24 32 -1.02611869052531
+4 0 0 0 0 26 24 32 -0.799480657754348
+4 0 0 0 0 28 24 32 -0.427042597200625
+4 0 0 0 0 30 24 32 0.0180749396239575
+4 0 0 0 0 32 24 32 0.459964323898609
+4 0 0 0 0 34 24 32 0.822321697926489
+4 0 0 0 0 36 24 32 1.04249217982478
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0.960670140844047
+5 0 1 0 0 10 24 32 0.833212639218709
+5 0 1 0 0 11 24 32 0.654860617025598
+5 0 1 0 0 12 24 32 0.456598743053604
+5 0 1 0 0 13 24 32 0.24564290712509
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+5 0 1 0 0 15 24 32 -0.206502348501932
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+5 0 1 0 0 17 24 32 -0.6258430927777
+5 0 1 0 0 18 24 32 -0.79888125888567
+5 0 1 0 0 19 24 32 -0.937004471703292
+5 0 1 0 0 20 24 32 -1.03417446007821
+5 0 1 0 0 21 24 32 -1.08610296593708
+5 0 1 0 0 22 24 32 -1.0900816889967
+5 0 1 0 0 23 24 32 -1.04416632834335
+5 0 1 0 0 24 24 32 -0.950543990862871
+5 0 1 0 0 25 24 32 -0.82553036074401
+5 0 1 0 0 26 24 32 -0.67029716493753
+5 0 1 0 0 27 24 32 -0.476516200562092
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0.862366785359743
+6 0 1 0 0 10 24 32 0.705712050433631
+6 0 1 0 0 11 24 32 0.507622941574364
+6 0 1 0 0 12 24 32 0.287542028656964
+6 0 1 0 0 13 24 32 0.0660508374662155
+6 0 1 0 0 14 24 32 -0.15855140887521
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+6 0 1 0 0 16 24 32 -0.584064074573099
+6 0 1 0 0 17 24 32 -0.763673230996533
+6 0 1 0 0 18 24 32 -0.909917683623483
+6 0 1 0 0 19 24 32 -1.01639417798908
+6 0 1 0 0 20 24 32 -1.07843401575442
+6 0 1 0 0 21 24 32 -1.09315100396503
+6 0 1 0 0 22 24 32 -1.05894574496908
+6 0 1 0 0 23 24 32 -0.975733818389809
+6 0 1 0 0 24 24 32 -0.851174077161267
+6 0 1 0 0 25 24 32 -0.702406279137592
+6 0 1 0 0 26 24 32 -0.520401098477054
+6 0 1 0 0 27 24 32 -0.309926320359232
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 0.363071044311725
+6 0 0 0 0 2 24 32 0.748273492193749
+6 0 0 0 0 4 24 32 1.0040662978272
+6 0 0 0 0 6 24 32 1.08627037962757
+6 0 0 0 0 8 24 32 0.981030761032892
+6 0 0 0 0 10 24 32 0.705712050433631
+6 0 0 0 0 12 24 32 0.287542028656964
+6 0 0 0 0 14 24 32 -0.15855140887521
+6 0 0 0 0 16 24 32 -0.584064074573099
+6 0 0 0 0 18 24 32 -0.909917683623483
+6 0 0 0 0 20 24 32 -1.07843401575442
+6 0 0 0 0 22 24 32 -1.05894574496908
+6 0 0 0 0 24 24 32 -0.851174077161267
+6 0 0 0 0 26 24 32 -0.520401098477054
+6 0 0 0 0 28 24 32 -0.0854395780761526
+6 0 0 0 0 30 24 32 0.363071044311725
+6 0 0 0 0 32 24 32 0.748273492193749
+6 0 0 0 0 34 24 32 1.0040662978272
+6 0 0 0 0 36 24 32 1.08627037962757
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0.743987671622897
+7 0 1 0 0 10 24 32 0.562052464776099
+7 0 1 0 0 11 24 32 0.346746654980481
+7 0 1 0 0 12 24 32 0.112867088922489
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+7 0 1 0 0 18 24 32 -0.996583326236714
+7 0 1 0 0 19 24 32 -1.06856463151047
+7 0 1 0 0 20 24 32 -1.09377085638175
+7 0 1 0 0 21 24 32 -1.07064087607752
+7 0 1 0 0 22 24 32 -0.998838090505613
+7 0 1 0 0 23 24 32 -0.881619274429985
+7 0 1 0 0 24 24 32 -0.73128862738551
+7 0 1 0 0 25 24 32 -0.56056529413021
+7 0 1 0 0 26 24 32 -0.360299659881429
+7 0 1 0 0 27 24 32 -0.139723305569924
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0.602076581635929
+8 0 1 0 0 10 24 32 0.399418659132905
+8 0 1 0 0 11 24 32 0.175989187179897
+8 0 1 0 0 12 24 32 -0.0633922513792992
+8 0 1 0 0 13 24 32 -0.292474714445617
+8 0 1 0 0 14 24 32 -0.502183815430526
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+8 0 1 0 0 16 24 32 -0.85069793086487
+8 0 1 0 0 17 24 32 -0.974834979939774
+8 0 1 0 0 18 24 32 -1.0565629172075
+8 0 1 0 0 19 24 32 -1.09210801324486
+8 0 1 0 0 20 24 32 -1.07968976216881
+8 0 1 0 0 21 24 32 -1.0190124805912
+8 0 1 0 0 22 24 32 -0.911665195949072
+8 0 1 0 0 23 24 32 -0.76527862611509
+8 0 1 0 0 24 24 32 -0.593321688745818
+8 0 1 0 0 25 24 32 -0.403228946632351
+8 0 1 0 0 26 24 32 -0.18649044864782
+8 0 1 0 0 27 24 32 0.0389902016694199
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 0.669240482159421
+8 0 0 0 0 2 24 32 0.958001548311374
+8 0 0 0 0 4 24 32 1.08095498256738
+8 0 0 0 0 6 24 32 1.01711048734134
+8 0 0 0 0 8 24 32 0.777622989729643
+8 0 0 0 0 10 24 32 0.399418659132905
+8 0 0 0 0 12 24 32 -0.0633922513792992
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+8 0 0 0 0 16 24 32 -0.85069793086487
+8 0 0 0 0 18 24 32 -1.0565629172075
+8 0 0 0 0 20 24 32 -1.07968976216881
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+8 0 0 0 0 24 24 32 -0.593321688745818
+8 0 0 0 0 26 24 32 -0.18649044864782
+8 0 0 0 0 28 24 32 0.263827750416654
+8 0 0 0 0 30 24 32 0.669240482159421
+8 0 0 0 0 32 24 32 0.958001548311374
+8 0 0 0 0 34 24 32 1.08095498256738
+8 0 0 0 0 36 24 32 1.01711048734134
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0.448189497886362
+9 0 1 0 0 10 24 32 0.230265614963176
+9 0 1 0 0 11 24 32 -0.000227928807466588
+9 0 1 0 0 12 24 32 -0.237220086486139
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+9 0 1 0 0 18 24 32 -1.08825487808492
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+9 0 1 0 0 20 24 32 -1.03644005329797
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+9 0 1 0 0 22 24 32 -0.800415723220107
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+9 0 1 0 0 25 24 32 -0.234860184678512
+9 0 1 0 0 26 24 32 -0.0123828563112155
+9 0 1 0 0 27 24 32 0.211701352219139
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0.277858104199234
+10 0 1 0 0 10 24 32 0.0504416717805354
+10 0 1 0 0 11 24 32 -0.177071715074593
+10 0 1 0 0 12 24 32 -0.40510410435531
+10 0 1 0 0 13 24 32 -0.614223095511621
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+10 0 1 0 0 16 24 32 -1.02782424634892
+10 0 1 0 0 17 24 32 -1.08252809340525
+10 0 1 0 0 18 24 32 -1.0908135393562
+10 0 1 0 0 19 24 32 -1.05139148804383
+10 0 1 0 0 20 24 32 -0.965064781965695
+10 0 1 0 0 21 24 32 -0.834835267146139
+10 0 1 0 0 22 24 32 -0.668834692168743
+10 0 1 0 0 23 24 32 -0.480134112744599
+10 0 1 0 0 24 24 32 -0.27490250672073
+10 0 1 0 0 25 24 32 -0.0598931630063424
+10 0 1 0 0 26 24 32 0.166492914306714
+10 0 1 0 0 27 24 32 0.383596010268438
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 0.904787380959087
+10 0 0 0 0 2 24 32 1.06753085487612
+10 0 0 0 0 4 24 32 1.0453083887431
+10 0 0 0 0 6 24 32 0.842444698378994
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+10 0 0 0 0 16 24 32 -1.02782424634892
+10 0 0 0 0 18 24 32 -1.0908135393562
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+10 0 0 0 0 22 24 32 -0.668834692168743
+10 0 0 0 0 24 24 32 -0.27490250672073
+10 0 0 0 0 26 24 32 0.166492914306714
+10 0 0 0 0 28 24 32 0.584973699415816
+10 0 0 0 0 30 24 32 0.904787380959087
+10 0 0 0 0 32 24 32 1.06753085487612
+10 0 0 0 0 34 24 32 1.0453083887431
+10 0 0 0 0 36 24 32 0.842444698378994
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0.105085250007564
+11 0 1 0 0 10 24 32 -0.125653694395861
+11 0 1 0 0 11 24 32 -0.348971850824868
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+11 0 1 0 0 24 24 32 -0.101731627390501
+11 0 1 0 0 25 24 32 0.116094374571697
+11 0 1 0 0 26 24 32 0.335994733078665
+11 0 1 0 0 27 24 32 0.540439474922058
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 -0.075334370742723
+12 0 1 0 0 10 24 32 -0.302820308905732
+12 0 1 0 0 11 24 32 -0.511550771543949
+12 0 1 0 0 12 24 32 -0.706494907975688
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+12 0 1 0 0 21 24 32 -0.563093132188587
+12 0 1 0 0 22 24 32 -0.360778448843921
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+12 0 1 0 0 24 24 32 0.0745022015174878
+12 0 1 0 0 25 24 32 0.288978182703779
+12 0 1 0 0 26 24 32 0.500836643380404
+12 0 1 0 0 27 24 32 0.687426704519641
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 1.04553302257014
+12 0 0 0 0 2 24 32 1.06570276061333
+12 0 0 0 0 4 24 32 0.901131439766378
+12 0 0 0 0 6 24 32 0.580334644169585
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+12 0 0 0 0 22 24 32 -0.360778448843921
+12 0 0 0 0 24 24 32 0.0745022015174878
+12 0 0 0 0 26 24 32 0.500836643380404
+12 0 0 0 0 28 24 32 0.845062974213723
+12 0 0 0 0 30 24 32 1.04553302257014
+12 0 0 0 0 32 24 32 1.06570276061333
+12 0 0 0 0 34 24 32 0.901131439766378
+12 0 0 0 0 36 24 32 0.580334644169585
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/psi.yl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/psi.yl
new file mode 100644
index 000000000..e8f0bcdd4
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/psi.yl
@@ -0,0 +1,622 @@
+# SPACETIMETOY::psi y (psi)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 1.09606144155092
+0 0 1 0 0 18 14 32 1.08490511646603
+0 0 1 0 0 18 15 32 1.05166325181789
+0 0 1 0 0 18 16 32 0.997012556109118
+0 0 1 0 0 18 17 32 0.922065559904753
+0 0 1 0 0 18 18 32 0.828347967918227
+0 0 1 0 0 18 19 32 0.717767600063167
+0 0 1 0 0 18 20 32 0.592575553741653
+0 0 1 0 0 18 21 32 0.455320377992744
+0 0 1 0 0 18 22 32 0.308796192383446
+0 0 1 0 0 18 23 32 0.155985806791904
+0 0 1 0 0 18 24 32 -1.08122938250794e-16
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+0 0 1 0 0 18 37 32 -1.05166325181789
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+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -0.308796192383456
+0 0 0 0 0 18 2 32 -1.057425492901e-14
+0 0 0 0 0 18 4 32 0.308796192383436
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+0 0 0 0 0 18 10 32 0.997012556109113
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+0 0 0 0 0 18 16 32 0.997012556109118
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+0 0 0 0 0 18 20 32 0.592575553741653
+0 0 0 0 0 18 22 32 0.308796192383446
+0 0 0 0 0 18 24 32 -1.08122938250794e-16
+0 0 0 0 0 18 26 32 -0.308796192383446
+0 0 0 0 0 18 28 32 -0.592575553741654
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+0 0 0 0 0 18 36 32 -1.08490511646603
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+0 0 0 0 0 18 40 32 -0.82834796791822
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+0 0 0 0 0 18 46 32 1.10610039885355e-14
+0 0 0 0 0 18 48 32 0.308796192383456
+0 0 0 0 0 18 50 32 0.592575553741662
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 1.08130445787431
+1 0 1 0 0 18 14 32 1.04569139031301
+1 0 1 0 0 18 15 32 0.983932983116082
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+1 0 1 0 0 18 37 32 -0.988470450758333
+1 0 1 0 0 18 38 32 -0.911430217056324
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 1.03742145103008
+2 0 1 0 0 18 14 32 0.977750996051271
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+2 0 1 0 0 18 37 32 -0.897876570226195
+2 0 1 0 0 18 38 32 -0.799999299865244
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 0.0398602838005638
+2 0 0 0 0 18 2 32 0.346204677567762
+2 0 0 0 0 18 4 32 0.624501627316911
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+2 0 0 0 0 18 8 32 1.0108681166778
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+2 0 0 0 0 18 48 32 0.624501627316911
+2 0 0 0 0 18 50 32 0.852205169275038
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0.968274383047991
+3 0 1 0 0 18 14 32 0.886458529162271
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+3 0 1 0 0 18 37 32 -0.782564241655395
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+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0.872073475084786
+4 0 1 0 0 18 14 32 0.770022457818857
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+4 0 1 0 0 18 37 32 -0.648977963643097
+4 0 1 0 0 18 38 32 -0.520037272029615
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 0.383407761260651
+4 0 0 0 0 18 2 32 0.655466527169888
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+4 0 0 0 0 18 48 32 0.874423293257369
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+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0.75565122976902
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+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0.615772960564249
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+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 0.686152983404309
+6 0 0 0 0 18 2 32 0.895744051667829
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+6 0 0 0 0 18 48 32 1.03276726406024
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+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0.463460297254297
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+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0.294115069600742
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+8 0 1 0 0 18 37 32 0.0106535739919592
+8 0 1 0 0 18 38 32 0.166525478143259
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 0.916742153342747
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+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+9 0 1 0 0 18 34 32 -0.254069828198066
+9 0 1 0 0 18 35 32 -0.107673351290763
+9 0 1 0 0 18 36 32 0.0360675693195705
+9 0 1 0 0 18 37 32 0.184986227786234
+9 0 1 0 0 18 38 32 0.335862321721458
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 -0.0588092230215645
+10 0 1 0 0 18 14 32 -0.215884785069748
+10 0 1 0 0 18 15 32 -0.36383451929728
+10 0 1 0 0 18 16 32 -0.514059671238742
+10 0 1 0 0 18 17 32 -0.65319015497358
+10 0 1 0 0 18 18 32 -0.77608923365941
+10 0 1 0 0 18 19 32 -0.876906439038171
+10 0 1 0 0 18 20 32 -0.958928126293437
+10 0 1 0 0 18 21 32 -1.02305374949893
+10 0 1 0 0 18 22 32 -1.06733183695143
+10 0 1 0 0 18 23 32 -1.0901476055108
+10 0 1 0 0 18 24 32 -1.0908135393562
+10 0 1 0 0 18 25 32 -1.06927798700439
+10 0 1 0 0 18 26 32 -1.02597527427243
+10 0 1 0 0 18 27 32 -0.961786359366164
+10 0 1 0 0 18 28 32 -0.878013321028586
+10 0 1 0 0 18 29 32 -0.776319180839731
+10 0 1 0 0 18 30 32 -0.65853279949385
+10 0 1 0 0 18 31 32 -0.526308549521931
+10 0 1 0 0 18 32 32 -0.381732615404001
+10 0 1 0 0 18 33 32 -0.230397324985052
+10 0 1 0 0 18 34 32 -0.0804632041208767
+10 0 1 0 0 18 35 32 0.067522381192208
+10 0 1 0 0 18 36 32 0.210341692353828
+10 0 1 0 0 18 37 32 0.355998014646569
+10 0 1 0 0 18 38 32 0.500586866187896
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 1.05141904006218
+10 0 0 0 0 18 2 32 1.08002994089707
+10 0 0 0 0 18 4 32 1.02115314292067
+10 0 0 0 0 18 6 32 0.879550845611129
+10 0 0 0 0 18 8 32 0.666725410667596
+10 0 0 0 0 18 10 32 0.399944314609838
+10 0 0 0 0 18 12 32 0.0992312302103472
+10 0 0 0 0 18 14 32 -0.215884785069748
+10 0 0 0 0 18 16 32 -0.514059671238742
+10 0 0 0 0 18 18 32 -0.77608923365941
+10 0 0 0 0 18 20 32 -0.958928126293437
+10 0 0 0 0 18 22 32 -1.06733183695143
+10 0 0 0 0 18 24 32 -1.0908135393562
+10 0 0 0 0 18 26 32 -1.02597527427243
+10 0 0 0 0 18 28 32 -0.878013321028586
+10 0 0 0 0 18 30 32 -0.65853279949385
+10 0 0 0 0 18 32 32 -0.381732615404001
+10 0 0 0 0 18 34 32 -0.0804632041208767
+10 0 0 0 0 18 36 32 0.210341692353828
+10 0 0 0 0 18 38 32 0.500586866187896
+10 0 0 0 0 18 40 32 0.749249685511699
+10 0 0 0 0 18 42 32 0.937814821559741
+10 0 0 0 0 18 44 32 1.05141904006218
+10 0 0 0 0 18 46 32 1.08002994089707
+10 0 0 0 0 18 48 32 1.02115314292067
+10 0 0 0 0 18 50 32 0.879550845611129
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 -0.232554071397282
+11 0 1 0 0 18 14 32 -0.384760407120814
+11 0 1 0 0 18 15 32 -0.524905977858583
+11 0 1 0 0 18 16 32 -0.661974517587489
+11 0 1 0 0 18 17 32 -0.783754979804497
+11 0 1 0 0 18 18 32 -0.890872020990216
+11 0 1 0 0 18 19 32 -0.973844538107176
+11 0 1 0 0 18 20 32 -1.03346186209387
+11 0 1 0 0 18 21 32 -1.07287463794114
+11 0 1 0 0 18 22 32 -1.09177934676058
+11 0 1 0 0 18 23 32 -1.08899976077594
+11 0 1 0 0 18 24 32 -1.06417263875788
+11 0 1 0 0 18 25 32 -1.01769936351395
+11 0 1 0 0 18 26 32 -0.950510153102602
+11 0 1 0 0 18 27 32 -0.863969557676459
+11 0 1 0 0 18 28 32 -0.759821642896162
+11 0 1 0 0 18 29 32 -0.640073010223115
+11 0 1 0 0 18 30 32 -0.506716496162652
+11 0 1 0 0 18 31 32 -0.361667275162386
+11 0 1 0 0 18 32 32 -0.208453557427017
+11 0 1 0 0 18 33 32 -0.054518994094398
+11 0 1 0 0 18 34 32 0.0945259453296604
+11 0 1 0 0 18 35 32 0.241072482153903
+11 0 1 0 0 18 36 32 0.378586443328253
+11 0 1 0 0 18 37 32 0.515884374802332
+11 0 1 0 0 18 38 32 0.647754575334641
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 -0.405017010157986
+12 0 1 0 0 18 14 32 -0.54760925832451
+12 0 1 0 0 18 15 32 -0.671973021225552
+12 0 1 0 0 18 16 32 -0.792738735748685
+12 0 1 0 0 18 17 32 -0.893695958310333
+12 0 1 0 0 18 18 32 -0.980395887679754
+12 0 1 0 0 18 19 32 -1.04377013118363
+12 0 1 0 0 18 20 32 -1.08045912376981
+12 0 1 0 0 18 21 32 -1.09427899260226
+12 0 1 0 0 18 22 32 -1.08712700737488
+12 0 1 0 0 18 23 32 -1.05872699276741
+12 0 1 0 0 18 24 32 -1.0090517070097
+12 0 1 0 0 18 25 32 -0.938888698669015
+12 0 1 0 0 18 26 32 -0.849618875869676
+12 0 1 0 0 18 27 32 -0.743046061984544
+12 0 1 0 0 18 28 32 -0.621287839828303
+12 0 1 0 0 18 29 32 -0.48658300085122
+12 0 1 0 0 18 30 32 -0.34104571763287
+12 0 1 0 0 18 31 32 -0.187244015121416
+12 0 1 0 0 18 32 32 -0.0305477964314759
+12 0 1 0 0 18 33 32 0.121376735604042
+12 0 1 0 0 18 34 32 0.266832740637607
+12 0 1 0 0 18 35 32 0.408191405680874
+12 0 1 0 0 18 36 32 0.536954578020508
+12 0 1 0 0 18 37 32 0.663839228457059
+12 0 1 0 0 18 38 32 0.781680294564337
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 1.07649336023685
+12 0 0 0 0 18 2 32 1.0054485631881
+12 0 0 0 0 18 4 32 0.853013940942112
+12 0 0 0 0 18 6 32 0.631488217136423
+12 0 0 0 0 18 8 32 0.358848904705681
+12 0 0 0 0 18 10 32 0.0567137685869157
+12 0 0 0 0 18 12 32 -0.253589337718081
+12 0 0 0 0 18 14 32 -0.54760925832451
+12 0 0 0 0 18 16 32 -0.792738735748685
+12 0 0 0 0 18 18 32 -0.980395887679754
+12 0 0 0 0 18 20 32 -1.08045912376981
+12 0 0 0 0 18 22 32 -1.08712700737488
+12 0 0 0 0 18 24 32 -1.0090517070097
+12 0 0 0 0 18 26 32 -0.849618875869676
+12 0 0 0 0 18 28 32 -0.621287839828303
+12 0 0 0 0 18 30 32 -0.34104571763287
+12 0 0 0 0 18 32 32 -0.0305477964314759
+12 0 0 0 0 18 34 32 0.266832740637607
+12 0 0 0 0 18 36 32 0.536954578020508
+12 0 0 0 0 18 38 32 0.781680294564337
+12 0 0 0 0 18 40 32 0.960343805378501
+12 0 0 0 0 18 42 32 1.06080264399827
+12 0 0 0 0 18 44 32 1.07649336023685
+12 0 0 0 0 18 46 32 1.0054485631881
+12 0 0 0 0 18 48 32 0.853013940942112
+12 0 0 0 0 18 50 32 0.631488217136423
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/psi.zl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/psi.zl
new file mode 100644
index 000000000..93b50f593
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/psi.zl
@@ -0,0 +1,782 @@
+# SPACETIMETOY::psi z (psi)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 3.54146779722859e-15
+0 0 1 0 0 18 24 18 0.227883987553006
+0 0 1 0 0 18 24 19 0.445808351341248
+0 0 1 0 0 18 24 20 0.644248750950064
+0 0 1 0 0 18 24 21 0.814532388693864
+0 0 1 0 0 18 24 22 0.949217052491694
+0 0 1 0 0 18 24 23 1.04241637624687
+0 0 1 0 0 18 24 24 1.09005710229131
+0 0 1 0 0 18 24 25 1.09005710229131
+0 0 1 0 0 18 24 26 1.04241637624686
+0 0 1 0 0 18 24 27 0.949217052491692
+0 0 1 0 0 18 24 28 0.814532388693861
+0 0 1 0 0 18 24 29 0.644248750950061
+0 0 1 0 0 18 24 30 0.445808351341244
+0 0 1 0 0 18 24 31 0.227883987553003
+0 0 1 0 0 18 24 32 -1.08122938250794e-16
+0 0 1 0 0 18 24 33 -0.227883987553003
+0 0 1 0 0 18 24 34 -0.445808351341245
+0 0 1 0 0 18 24 35 -0.644248750950061
+0 0 1 0 0 18 24 36 -0.814532388693861
+0 0 1 0 0 18 24 37 -0.949217052491692
+0 0 1 0 0 18 24 38 -1.04241637624686
+0 0 1 0 0 18 24 39 -1.09005710229131
+0 0 1 0 0 18 24 40 -1.09005710229131
+0 0 1 0 0 18 24 41 -1.04241637624687
+0 0 1 0 0 18 24 42 -0.949217052491693
+0 0 1 0 0 18 24 43 -0.814532388693864
+0 0 1 0 0 18 24 44 -0.644248750950064
+0 0 1 0 0 18 24 45 -0.445808351341248
+0 0 1 0 0 18 24 46 -0.227883987553006
+0 0 1 0 0 18 24 47 -3.54146779722859e-15
+0 0 1 0 0 18 24 48 0.227883987553
+0 0 1 0 0 18 24 49 0.445808351341241
+0 0 1 0 0 18 24 50 0.644248750950058
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 0.445808351341237
+0 0 0 0 0 18 24 2 -7.08293559445718e-15
+0 0 0 0 0 18 24 4 -0.445808351341251
+0 0 0 0 0 18 24 6 -0.814532388693866
+0 0 0 0 0 18 24 8 -1.04241637624687
+0 0 0 0 0 18 24 10 -1.09005710229131
+0 0 0 0 0 18 24 12 -0.94921705249169
+0 0 0 0 0 18 24 14 -0.644248750950057
+0 0 0 0 0 18 24 16 -0.227883987552999
+0 0 0 0 0 18 24 18 0.227883987553006
+0 0 0 0 0 18 24 20 0.644248750950064
+0 0 0 0 0 18 24 22 0.949217052491694
+0 0 0 0 0 18 24 24 1.09005710229131
+0 0 0 0 0 18 24 26 1.04241637624686
+0 0 0 0 0 18 24 28 0.814532388693861
+0 0 0 0 0 18 24 30 0.445808351341244
+0 0 0 0 0 18 24 32 -1.08122938250794e-16
+0 0 0 0 0 18 24 34 -0.445808351341245
+0 0 0 0 0 18 24 36 -0.814532388693861
+0 0 0 0 0 18 24 38 -1.04241637624686
+0 0 0 0 0 18 24 40 -1.09005710229131
+0 0 0 0 0 18 24 42 -0.949217052491693
+0 0 0 0 0 18 24 44 -0.644248750950064
+0 0 0 0 0 18 24 46 -0.227883987553006
+0 0 0 0 0 18 24 48 0.227883987553
+0 0 0 0 0 18 24 50 0.644248750950058
+0 0 0 0 0 18 24 52 0.94921705249169
+0 0 0 0 0 18 24 54 1.09005710229131
+0 0 0 0 0 18 24 56 1.04241637624687
+0 0 0 0 0 18 24 58 0.814532388693866
+0 0 0 0 0 18 24 60 0.445808351341251
+0 0 0 0 0 18 24 62 7.08293559445718e-15
+0 0 0 0 0 18 24 64 -0.445808351341238
+0 0 0 0 0 18 24 66 -0.814532388693856
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 0.173946181251853
+1 0 1 0 0 18 24 18 0.395116773952963
+1 0 1 0 0 18 24 19 0.601952761985071
+1 0 1 0 0 18 24 20 0.779899970050919
+1 0 1 0 0 18 24 21 0.922933812342463
+1 0 1 0 0 18 24 22 1.02563101830685
+1 0 1 0 0 18 24 23 1.08350322724757
+1 0 1 0 0 18 24 24 1.09402114593224
+1 0 1 0 0 18 24 25 1.05672509084377
+1 0 1 0 0 18 24 26 0.973245078555847
+1 0 1 0 0 18 24 27 0.847229586187007
+1 0 1 0 0 18 24 28 0.684186095443185
+1 0 1 0 0 18 24 29 0.491240389239357
+1 0 1 0 0 18 24 30 0.276825120792848
+1 0 1 0 0 18 24 31 0.0503112662133864
+1 0 1 0 0 18 24 32 -0.178401432119842
+1 0 1 0 0 18 24 33 -0.399317131804382
+1 0 1 0 0 18 24 34 -0.602780756692881
+1 0 1 0 0 18 24 35 -0.779899970050917
+1 0 1 0 0 18 24 36 -0.922933812342461
+1 0 1 0 0 18 24 37 -1.02563101830685
+1 0 1 0 0 18 24 38 -1.08350322724757
+1 0 1 0 0 18 24 39 -1.09402114593224
+1 0 1 0 0 18 24 40 -1.05672509084377
+1 0 1 0 0 18 24 41 -0.973245078555851
+1 0 1 0 0 18 24 42 -0.847229586187008
+1 0 1 0 0 18 24 43 -0.684186095443188
+1 0 1 0 0 18 24 44 -0.49124038923936
+1 0 1 0 0 18 24 45 -0.276825120792852
+1 0 1 0 0 18 24 46 -0.0503112662133906
+1 0 1 0 0 18 24 47 0.178401432119838
+1 0 1 0 0 18 24 48 0.398326141265628
+1 0 1 0 0 18 24 49 0.598469232711141
+1 0 1 0 0 18 24 50 0.776498818992599
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 0.345958500605889
+2 0 1 0 0 18 24 18 0.55436473367733
+2 0 1 0 0 18 24 19 0.740017751296593
+2 0 1 0 0 18 24 20 0.895434701347607
+2 0 1 0 0 18 24 21 1.00669597805395
+2 0 1 0 0 18 24 22 1.07458385123758
+2 0 1 0 0 18 24 23 1.0955865692915
+2 0 1 0 0 18 24 24 1.06870689705974
+2 0 1 0 0 18 24 25 0.995119605201807
+2 0 1 0 0 18 24 26 0.8780408114829
+2 0 1 0 0 18 24 27 0.722587420994921
+2 0 1 0 0 18 24 28 0.535553492850318
+2 0 1 0 0 18 24 29 0.325113307197375
+2 0 1 0 0 18 24 30 0.100464109953173
+2 0 1 0 0 18 24 31 -0.128575850976268
+2 0 1 0 0 18 24 32 -0.351996430242662
+2 0 1 0 0 18 24 33 -0.560033076441179
+2 0 1 0 0 18 24 34 -0.743593589862362
+2 0 1 0 0 18 24 35 -0.894655495248633
+2 0 1 0 0 18 24 36 -1.00661666245917
+2 0 1 0 0 18 24 37 -1.07458385123758
+2 0 1 0 0 18 24 38 -1.0955865692915
+2 0 1 0 0 18 24 39 -1.06870689705974
+2 0 1 0 0 18 24 40 -0.995119605201808
+2 0 1 0 0 18 24 41 -0.878040811482903
+2 0 1 0 0 18 24 42 -0.722587420994922
+2 0 1 0 0 18 24 43 -0.535553492850321
+2 0 1 0 0 18 24 44 -0.325113307197379
+2 0 1 0 0 18 24 45 -0.100464109953177
+2 0 1 0 0 18 24 46 0.128648227508044
+2 0 1 0 0 18 24 47 0.352673315188262
+2 0 1 0 0 18 24 48 0.556407454196092
+2 0 1 0 0 18 24 49 0.737771407810592
+2 0 1 0 0 18 24 50 0.889960952882225
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 0.105748969574785
+2 0 0 0 0 18 24 2 -0.346204677567753
+2 0 0 0 0 18 24 4 -0.738296390788072
+2 0 0 0 0 18 24 6 -1.00272995082898
+2 0 0 0 0 18 24 8 -1.09378239285593
+2 0 0 0 0 18 24 10 -0.995709922457005
+2 0 0 0 0 18 24 12 -0.725470160724593
+2 0 0 0 0 18 24 14 -0.329790017513396
+2 0 0 0 0 18 24 16 0.122913815774121
+2 0 0 0 0 18 24 18 0.55436473367733
+2 0 0 0 0 18 24 20 0.895434701347607
+2 0 0 0 0 18 24 22 1.07458385123758
+2 0 0 0 0 18 24 24 1.06870689705974
+2 0 0 0 0 18 24 26 0.8780408114829
+2 0 0 0 0 18 24 28 0.535553492850318
+2 0 0 0 0 18 24 30 0.100464109953173
+2 0 0 0 0 18 24 32 -0.351996430242662
+2 0 0 0 0 18 24 34 -0.743593589862362
+2 0 0 0 0 18 24 36 -1.00661666245917
+2 0 0 0 0 18 24 38 -1.0955865692915
+2 0 0 0 0 18 24 40 -0.995119605201808
+2 0 0 0 0 18 24 42 -0.722587420994922
+2 0 0 0 0 18 24 44 -0.325113307197379
+2 0 0 0 0 18 24 46 0.128648227508044
+2 0 0 0 0 18 24 48 0.556407454196092
+2 0 0 0 0 18 24 50 0.889960952882225
+2 0 0 0 0 18 24 52 1.07167483829235
+2 0 0 0 0 18 24 54 1.06808640830147
+2 0 0 0 0 18 24 56 0.879816135054864
+2 0 0 0 0 18 24 58 0.539417659178611
+2 0 0 0 0 18 24 60 0.105748969574785
+2 0 0 0 0 18 24 62 -0.346204677567753
+2 0 0 0 0 18 24 64 -0.738296390788072
+2 0 0 0 0 18 24 66 -1.00272995082898
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 0.505104908420733
+3 0 1 0 0 18 24 18 0.696253385463493
+3 0 1 0 0 18 24 19 0.856348655035859
+3 0 1 0 0 18 24 20 0.986878563168294
+3 0 1 0 0 18 24 21 1.06373809381387
+3 0 1 0 0 18 24 22 1.09478947306667
+3 0 1 0 0 18 24 23 1.07834826241061
+3 0 1 0 0 18 24 24 1.01479707850826
+3 0 1 0 0 18 24 25 0.906894392738454
+3 0 1 0 0 18 24 26 0.759356070243858
+3 0 1 0 0 18 24 27 0.578630243684909
+3 0 1 0 0 18 24 28 0.37261549890096
+3 0 1 0 0 18 24 29 0.150315668807502
+3 0 1 0 0 18 24 30 -0.0785536773074477
+3 0 1 0 0 18 24 31 -0.3039898507817
+3 0 1 0 0 18 24 32 -0.516140209071645
+3 0 1 0 0 18 24 33 -0.705732763509651
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+3 0 1 0 0 18 24 35 -0.985448070045904
+3 0 1 0 0 18 24 36 -1.06334592102556
+3 0 1 0 0 18 24 37 -1.09477045275655
+3 0 1 0 0 18 24 38 -1.07834826241061
+3 0 1 0 0 18 24 39 -1.01479707850826
+3 0 1 0 0 18 24 40 -0.906894392738456
+3 0 1 0 0 18 24 41 -0.759356070243861
+3 0 1 0 0 18 24 42 -0.578630243684909
+3 0 1 0 0 18 24 43 -0.372615498900964
+3 0 1 0 0 18 24 44 -0.150315668807506
+3 0 1 0 0 18 24 45 0.0785708036761912
+3 0 1 0 0 18 24 46 0.304334587073642
+3 0 1 0 0 18 24 47 0.517312187116953
+3 0 1 0 0 18 24 48 0.698156101736323
+3 0 1 0 0 18 24 49 0.855470949820386
+3 0 1 0 0 18 24 50 0.978284242179571
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 0.655713639801684
+4 0 1 0 0 18 24 18 0.823907556398991
+4 0 1 0 0 18 24 19 0.949738617591764
+4 0 1 0 0 18 24 20 1.05031979299648
+4 0 1 0 0 18 24 21 1.09249399114955
+4 0 1 0 0 18 24 22 1.08578426330013
+4 0 1 0 0 18 24 23 1.03226121931361
+4 0 1 0 0 18 24 24 0.933739626051975
+4 0 1 0 0 18 24 25 0.794415284896844
+4 0 1 0 0 18 24 26 0.620371261220882
+4 0 1 0 0 18 24 27 0.419214036557977
+4 0 1 0 0 18 24 28 0.199735146885355
+4 0 1 0 0 18 24 29 -0.0284731271417257
+4 0 1 0 0 18 24 30 -0.255436988883492
+4 0 1 0 0 18 24 31 -0.471237028488383
+4 0 1 0 0 18 24 32 -0.666441748702191
+4 0 1 0 0 18 24 33 -0.832519766555395
+4 0 1 0 0 18 24 34 -0.962212675737065
+4 0 1 0 0 18 24 35 -1.04985227378034
+4 0 1 0 0 18 24 36 -1.09160828970927
+4 0 1 0 0 18 24 37 -1.08565578526017
+4 0 1 0 0 18 24 38 -1.03225491344075
+4 0 1 0 0 18 24 39 -0.933739548595342
+4 0 1 0 0 18 24 40 -0.794415284896846
+4 0 1 0 0 18 24 41 -0.620371261220884
+4 0 1 0 0 18 24 42 -0.41921403655798
+4 0 1 0 0 18 24 43 -0.199735076205153
+4 0 1 0 0 18 24 44 0.0284787900284715
+4 0 1 0 0 18 24 45 0.25554988910112
+4 0 1 0 0 18 24 46 0.471984675438197
+4 0 1 0 0 18 24 47 0.66663492888078
+4 0 1 0 0 18 24 48 0.82133519510659
+4 0 1 0 0 18 24 49 0.95262890773274
+4 0 1 0 0 18 24 50 1.04358565703109
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 -0.244359472519246
+4 0 0 0 0 18 24 2 -0.655466527169893
+4 0 0 0 0 18 24 4 -0.953237464546396
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+4 0 0 0 0 18 24 20 1.05031979299648
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+4 0 0 0 0 18 24 54 0.93516252492244
+4 0 0 0 0 18 24 56 0.626220660513727
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+4 0 0 0 0 18 24 64 -0.953237464546396
+4 0 0 0 0 18 24 66 -1.08618498441233
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 0.785148946996089
+5 0 1 0 0 18 24 18 0.926969578156298
+5 0 1 0 0 18 24 19 1.01811093144723
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+5 0 1 0 0 18 24 44 0.206508535398024
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+5 0 1 0 0 18 24 49 1.02169958409542
+5 0 1 0 0 18 24 50 1.07961127229486
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 0.898050692556283
+6 0 1 0 0 18 24 18 1.00889200684459
+6 0 1 0 0 18 24 19 1.06160501281589
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+6 0 1 0 0 18 24 48 1.00079242266777
+6 0 1 0 0 18 24 49 1.06699186065349
+6 0 1 0 0 18 24 50 1.08844572968485
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 -0.5680997904962
+6 0 0 0 0 18 24 2 -0.895744051667842
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+6 0 0 0 0 18 24 50 1.08844572968485
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+6 0 0 0 0 18 24 64 -1.06850602872686
+6 0 0 0 0 18 24 66 -1.05651360634648
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 0.98426727265907
+7 0 1 0 0 18 24 18 1.06155728045132
+7 0 1 0 0 18 24 19 1.07775516662471
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+7 0 1 0 0 18 24 49 1.08246447175743
+7 0 1 0 0 18 24 50 1.06826631432435
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 1.04683827338756
+8 0 1 0 0 18 24 18 1.08767125298068
+8 0 1 0 0 18 24 19 1.06635725423393
+8 0 1 0 0 18 24 20 1.0071624214713
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+8 0 1 0 0 18 24 49 1.07153895405156
+8 0 1 0 0 18 24 50 1.01968059783894
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 -0.831896334217484
+8 0 0 0 0 18 24 2 -1.04225457917798
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+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 1.07993195825672
+9 0 1 0 0 18 24 18 1.08343983936959
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+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 1.08497094871506
+10 0 1 0 0 18 24 18 1.05012773463907
+10 0 1 0 0 18 24 19 0.957509694959929
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+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 -1.00849684007551
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+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 1.06111383194679
+11 0 1 0 0 18 24 18 0.989531630537901
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+11 0 1 0 0 18 24 49 0.873334896476884
+11 0 1 0 0 18 24 50 0.724925153896908
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 1.00830280794799
+12 0 1 0 0 18 24 18 0.90105262981649
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+12 0 1 0 0 18 24 26 -0.711844541626954
+12 0 1 0 0 18 24 27 -0.868895200159182
+12 0 1 0 0 18 24 28 -0.987884401634913
+12 0 1 0 0 18 24 29 -1.06366975044416
+12 0 1 0 0 18 24 30 -1.09296264538978
+12 0 1 0 0 18 24 31 -1.07448734058633
+12 0 1 0 0 18 24 32 -1.0090517070097
+12 0 1 0 0 18 24 33 -0.899515693812869
+12 0 1 0 0 18 24 34 -0.75066651875127
+12 0 1 0 0 18 24 35 -0.569009609647097
+12 0 1 0 0 18 24 36 -0.362484267938548
+12 0 1 0 0 18 24 37 -0.140116556900138
+12 0 1 0 0 18 24 38 0.0883753432128326
+12 0 1 0 0 18 24 39 0.313009111281899
+12 0 1 0 0 18 24 40 0.523986843724641
+12 0 1 0 0 18 24 41 0.712131376462421
+12 0 1 0 0 18 24 42 0.869090948101053
+12 0 1 0 0 18 24 43 0.986932394806842
+12 0 1 0 0 18 24 44 1.05839763570118
+12 0 1 0 0 18 24 45 1.08138094971798
+12 0 1 0 0 18 24 46 1.06106823205654
+12 0 1 0 0 18 24 47 0.998846667135736
+12 0 1 0 0 18 24 48 0.896915010360671
+12 0 1 0 0 18 24 49 0.758759786901049
+12 0 1 0 0 18 24 50 0.582965223487629
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 -1.07978674061386
+12 0 0 0 0 18 24 2 -1.00544528237575
+12 0 0 0 0 18 24 4 -0.757252344923002
+12 0 0 0 0 18 24 6 -0.378123562610393
+12 0 0 0 0 18 24 8 0.0663872513126626
+12 0 0 0 0 18 24 10 0.499443683335952
+12 0 0 0 0 18 24 12 0.846421360353423
+12 0 0 0 0 18 24 14 1.04846613148216
+12 0 0 0 0 18 24 16 1.07084964429065
+12 0 0 0 0 18 24 18 0.90105262981649
+12 0 0 0 0 18 24 20 0.560469681897646
+12 0 0 0 0 18 24 22 0.128549374503858
+12 0 0 0 0 18 24 24 -0.313840616073319
+12 0 0 0 0 18 24 26 -0.711844541626954
+12 0 0 0 0 18 24 28 -0.987884401634913
+12 0 0 0 0 18 24 30 -1.09296264538978
+12 0 0 0 0 18 24 32 -1.0090517070097
+12 0 0 0 0 18 24 34 -0.75066651875127
+12 0 0 0 0 18 24 36 -0.362484267938548
+12 0 0 0 0 18 24 38 0.0883753432128326
+12 0 0 0 0 18 24 40 0.523986843724641
+12 0 0 0 0 18 24 42 0.869090948101053
+12 0 0 0 0 18 24 44 1.05839763570118
+12 0 0 0 0 18 24 46 1.06106823205654
+12 0 0 0 0 18 24 48 0.896915010360671
+12 0 0 0 0 18 24 50 0.582965223487629
+12 0 0 0 0 18 24 52 0.161768553771181
+12 0 0 0 0 18 24 54 -0.288195269016238
+12 0 0 0 0 18 24 56 -0.687585245451832
+12 0 0 0 0 18 24 58 -0.967405718271891
+12 0 0 0 0 18 24 60 -1.07978674061386
+12 0 0 0 0 18 24 62 -1.00544528237575
+12 0 0 0 0 18 24 64 -0.757252344923002
+12 0 0 0 0 18 24 66 -0.378123562610393
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/spher3d_r.xl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/spher3d_r.xl
new file mode 100644
index 000000000..c73d4d829
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/spher3d_r.xl
@@ -0,0 +1,482 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 2.7
+0 0 1 0 0 10 24 32 2.4
+0 0 1 0 0 11 24 32 2.1
+0 0 1 0 0 12 24 32 1.8
+0 0 1 0 0 13 24 32 1.5
+0 0 1 0 0 14 24 32 1.2
+0 0 1 0 0 15 24 32 0.9
+0 0 1 0 0 16 24 32 0.6
+0 0 1 0 0 17 24 32 0.3
+0 0 1 0 0 18 24 32 6.2803698347351e-16
+0 0 1 0 0 19 24 32 0.3
+0 0 1 0 0 20 24 32 0.600000000000001
+0 0 1 0 0 21 24 32 0.900000000000001
+0 0 1 0 0 22 24 32 1.2
+0 0 1 0 0 23 24 32 1.5
+0 0 1 0 0 24 24 32 1.8
+0 0 1 0 0 25 24 32 2.1
+0 0 1 0 0 26 24 32 2.4
+0 0 1 0 0 27 24 32 2.7
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 5.4
+0 0 0 0 0 2 24 32 4.8
+0 0 0 0 0 4 24 32 4.2
+0 0 0 0 0 6 24 32 3.6
+0 0 0 0 0 8 24 32 3
+0 0 0 0 0 10 24 32 2.4
+0 0 0 0 0 12 24 32 1.8
+0 0 0 0 0 14 24 32 1.2
+0 0 0 0 0 16 24 32 0.6
+0 0 0 0 0 18 24 32 6.2803698347351e-16
+0 0 0 0 0 20 24 32 0.600000000000001
+0 0 0 0 0 22 24 32 1.2
+0 0 0 0 0 24 24 32 1.8
+0 0 0 0 0 26 24 32 2.4
+0 0 0 0 0 28 24 32 3
+0 0 0 0 0 30 24 32 3.6
+0 0 0 0 0 32 24 32 4.2
+0 0 0 0 0 34 24 32 4.8
+0 0 0 0 0 36 24 32 5.4
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 2.7
+1 0 1 0 0 10 24 32 2.4
+1 0 1 0 0 11 24 32 2.1
+1 0 1 0 0 12 24 32 1.8
+1 0 1 0 0 13 24 32 1.5
+1 0 1 0 0 14 24 32 1.2
+1 0 1 0 0 15 24 32 0.9
+1 0 1 0 0 16 24 32 0.6
+1 0 1 0 0 17 24 32 0.3
+1 0 1 0 0 18 24 32 6.2803698347351e-16
+1 0 1 0 0 19 24 32 0.3
+1 0 1 0 0 20 24 32 0.600000000000001
+1 0 1 0 0 21 24 32 0.900000000000001
+1 0 1 0 0 22 24 32 1.2
+1 0 1 0 0 23 24 32 1.5
+1 0 1 0 0 24 24 32 1.8
+1 0 1 0 0 25 24 32 2.1
+1 0 1 0 0 26 24 32 2.4
+1 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 2.7
+2 0 1 0 0 10 24 32 2.4
+2 0 1 0 0 11 24 32 2.1
+2 0 1 0 0 12 24 32 1.8
+2 0 1 0 0 13 24 32 1.5
+2 0 1 0 0 14 24 32 1.2
+2 0 1 0 0 15 24 32 0.9
+2 0 1 0 0 16 24 32 0.6
+2 0 1 0 0 17 24 32 0.3
+2 0 1 0 0 18 24 32 6.2803698347351e-16
+2 0 1 0 0 19 24 32 0.3
+2 0 1 0 0 20 24 32 0.600000000000001
+2 0 1 0 0 21 24 32 0.900000000000001
+2 0 1 0 0 22 24 32 1.2
+2 0 1 0 0 23 24 32 1.5
+2 0 1 0 0 24 24 32 1.8
+2 0 1 0 0 25 24 32 2.1
+2 0 1 0 0 26 24 32 2.4
+2 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 5.4
+2 0 0 0 0 2 24 32 4.8
+2 0 0 0 0 4 24 32 4.2
+2 0 0 0 0 6 24 32 3.6
+2 0 0 0 0 8 24 32 3
+2 0 0 0 0 10 24 32 2.4
+2 0 0 0 0 12 24 32 1.8
+2 0 0 0 0 14 24 32 1.2
+2 0 0 0 0 16 24 32 0.6
+2 0 0 0 0 18 24 32 6.2803698347351e-16
+2 0 0 0 0 20 24 32 0.600000000000001
+2 0 0 0 0 22 24 32 1.2
+2 0 0 0 0 24 24 32 1.8
+2 0 0 0 0 26 24 32 2.4
+2 0 0 0 0 28 24 32 3
+2 0 0 0 0 30 24 32 3.6
+2 0 0 0 0 32 24 32 4.2
+2 0 0 0 0 34 24 32 4.8
+2 0 0 0 0 36 24 32 5.4
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 2.7
+3 0 1 0 0 10 24 32 2.4
+3 0 1 0 0 11 24 32 2.1
+3 0 1 0 0 12 24 32 1.8
+3 0 1 0 0 13 24 32 1.5
+3 0 1 0 0 14 24 32 1.2
+3 0 1 0 0 15 24 32 0.9
+3 0 1 0 0 16 24 32 0.6
+3 0 1 0 0 17 24 32 0.3
+3 0 1 0 0 18 24 32 6.2803698347351e-16
+3 0 1 0 0 19 24 32 0.3
+3 0 1 0 0 20 24 32 0.600000000000001
+3 0 1 0 0 21 24 32 0.900000000000001
+3 0 1 0 0 22 24 32 1.2
+3 0 1 0 0 23 24 32 1.5
+3 0 1 0 0 24 24 32 1.8
+3 0 1 0 0 25 24 32 2.1
+3 0 1 0 0 26 24 32 2.4
+3 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 2.7
+4 0 1 0 0 10 24 32 2.4
+4 0 1 0 0 11 24 32 2.1
+4 0 1 0 0 12 24 32 1.8
+4 0 1 0 0 13 24 32 1.5
+4 0 1 0 0 14 24 32 1.2
+4 0 1 0 0 15 24 32 0.9
+4 0 1 0 0 16 24 32 0.6
+4 0 1 0 0 17 24 32 0.3
+4 0 1 0 0 18 24 32 6.2803698347351e-16
+4 0 1 0 0 19 24 32 0.3
+4 0 1 0 0 20 24 32 0.600000000000001
+4 0 1 0 0 21 24 32 0.900000000000001
+4 0 1 0 0 22 24 32 1.2
+4 0 1 0 0 23 24 32 1.5
+4 0 1 0 0 24 24 32 1.8
+4 0 1 0 0 25 24 32 2.1
+4 0 1 0 0 26 24 32 2.4
+4 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 5.4
+4 0 0 0 0 2 24 32 4.8
+4 0 0 0 0 4 24 32 4.2
+4 0 0 0 0 6 24 32 3.6
+4 0 0 0 0 8 24 32 3
+4 0 0 0 0 10 24 32 2.4
+4 0 0 0 0 12 24 32 1.8
+4 0 0 0 0 14 24 32 1.2
+4 0 0 0 0 16 24 32 0.6
+4 0 0 0 0 18 24 32 6.2803698347351e-16
+4 0 0 0 0 20 24 32 0.600000000000001
+4 0 0 0 0 22 24 32 1.2
+4 0 0 0 0 24 24 32 1.8
+4 0 0 0 0 26 24 32 2.4
+4 0 0 0 0 28 24 32 3
+4 0 0 0 0 30 24 32 3.6
+4 0 0 0 0 32 24 32 4.2
+4 0 0 0 0 34 24 32 4.8
+4 0 0 0 0 36 24 32 5.4
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 2.7
+5 0 1 0 0 10 24 32 2.4
+5 0 1 0 0 11 24 32 2.1
+5 0 1 0 0 12 24 32 1.8
+5 0 1 0 0 13 24 32 1.5
+5 0 1 0 0 14 24 32 1.2
+5 0 1 0 0 15 24 32 0.9
+5 0 1 0 0 16 24 32 0.6
+5 0 1 0 0 17 24 32 0.3
+5 0 1 0 0 18 24 32 6.2803698347351e-16
+5 0 1 0 0 19 24 32 0.3
+5 0 1 0 0 20 24 32 0.600000000000001
+5 0 1 0 0 21 24 32 0.900000000000001
+5 0 1 0 0 22 24 32 1.2
+5 0 1 0 0 23 24 32 1.5
+5 0 1 0 0 24 24 32 1.8
+5 0 1 0 0 25 24 32 2.1
+5 0 1 0 0 26 24 32 2.4
+5 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 2.7
+6 0 1 0 0 10 24 32 2.4
+6 0 1 0 0 11 24 32 2.1
+6 0 1 0 0 12 24 32 1.8
+6 0 1 0 0 13 24 32 1.5
+6 0 1 0 0 14 24 32 1.2
+6 0 1 0 0 15 24 32 0.9
+6 0 1 0 0 16 24 32 0.6
+6 0 1 0 0 17 24 32 0.3
+6 0 1 0 0 18 24 32 6.2803698347351e-16
+6 0 1 0 0 19 24 32 0.3
+6 0 1 0 0 20 24 32 0.600000000000001
+6 0 1 0 0 21 24 32 0.900000000000001
+6 0 1 0 0 22 24 32 1.2
+6 0 1 0 0 23 24 32 1.5
+6 0 1 0 0 24 24 32 1.8
+6 0 1 0 0 25 24 32 2.1
+6 0 1 0 0 26 24 32 2.4
+6 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 5.4
+6 0 0 0 0 2 24 32 4.8
+6 0 0 0 0 4 24 32 4.2
+6 0 0 0 0 6 24 32 3.6
+6 0 0 0 0 8 24 32 3
+6 0 0 0 0 10 24 32 2.4
+6 0 0 0 0 12 24 32 1.8
+6 0 0 0 0 14 24 32 1.2
+6 0 0 0 0 16 24 32 0.6
+6 0 0 0 0 18 24 32 6.2803698347351e-16
+6 0 0 0 0 20 24 32 0.600000000000001
+6 0 0 0 0 22 24 32 1.2
+6 0 0 0 0 24 24 32 1.8
+6 0 0 0 0 26 24 32 2.4
+6 0 0 0 0 28 24 32 3
+6 0 0 0 0 30 24 32 3.6
+6 0 0 0 0 32 24 32 4.2
+6 0 0 0 0 34 24 32 4.8
+6 0 0 0 0 36 24 32 5.4
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 2.7
+7 0 1 0 0 10 24 32 2.4
+7 0 1 0 0 11 24 32 2.1
+7 0 1 0 0 12 24 32 1.8
+7 0 1 0 0 13 24 32 1.5
+7 0 1 0 0 14 24 32 1.2
+7 0 1 0 0 15 24 32 0.9
+7 0 1 0 0 16 24 32 0.6
+7 0 1 0 0 17 24 32 0.3
+7 0 1 0 0 18 24 32 6.2803698347351e-16
+7 0 1 0 0 19 24 32 0.3
+7 0 1 0 0 20 24 32 0.600000000000001
+7 0 1 0 0 21 24 32 0.900000000000001
+7 0 1 0 0 22 24 32 1.2
+7 0 1 0 0 23 24 32 1.5
+7 0 1 0 0 24 24 32 1.8
+7 0 1 0 0 25 24 32 2.1
+7 0 1 0 0 26 24 32 2.4
+7 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 2.7
+8 0 1 0 0 10 24 32 2.4
+8 0 1 0 0 11 24 32 2.1
+8 0 1 0 0 12 24 32 1.8
+8 0 1 0 0 13 24 32 1.5
+8 0 1 0 0 14 24 32 1.2
+8 0 1 0 0 15 24 32 0.9
+8 0 1 0 0 16 24 32 0.6
+8 0 1 0 0 17 24 32 0.3
+8 0 1 0 0 18 24 32 6.2803698347351e-16
+8 0 1 0 0 19 24 32 0.3
+8 0 1 0 0 20 24 32 0.600000000000001
+8 0 1 0 0 21 24 32 0.900000000000001
+8 0 1 0 0 22 24 32 1.2
+8 0 1 0 0 23 24 32 1.5
+8 0 1 0 0 24 24 32 1.8
+8 0 1 0 0 25 24 32 2.1
+8 0 1 0 0 26 24 32 2.4
+8 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 5.4
+8 0 0 0 0 2 24 32 4.8
+8 0 0 0 0 4 24 32 4.2
+8 0 0 0 0 6 24 32 3.6
+8 0 0 0 0 8 24 32 3
+8 0 0 0 0 10 24 32 2.4
+8 0 0 0 0 12 24 32 1.8
+8 0 0 0 0 14 24 32 1.2
+8 0 0 0 0 16 24 32 0.6
+8 0 0 0 0 18 24 32 6.2803698347351e-16
+8 0 0 0 0 20 24 32 0.600000000000001
+8 0 0 0 0 22 24 32 1.2
+8 0 0 0 0 24 24 32 1.8
+8 0 0 0 0 26 24 32 2.4
+8 0 0 0 0 28 24 32 3
+8 0 0 0 0 30 24 32 3.6
+8 0 0 0 0 32 24 32 4.2
+8 0 0 0 0 34 24 32 4.8
+8 0 0 0 0 36 24 32 5.4
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 2.7
+9 0 1 0 0 10 24 32 2.4
+9 0 1 0 0 11 24 32 2.1
+9 0 1 0 0 12 24 32 1.8
+9 0 1 0 0 13 24 32 1.5
+9 0 1 0 0 14 24 32 1.2
+9 0 1 0 0 15 24 32 0.9
+9 0 1 0 0 16 24 32 0.6
+9 0 1 0 0 17 24 32 0.3
+9 0 1 0 0 18 24 32 6.2803698347351e-16
+9 0 1 0 0 19 24 32 0.3
+9 0 1 0 0 20 24 32 0.600000000000001
+9 0 1 0 0 21 24 32 0.900000000000001
+9 0 1 0 0 22 24 32 1.2
+9 0 1 0 0 23 24 32 1.5
+9 0 1 0 0 24 24 32 1.8
+9 0 1 0 0 25 24 32 2.1
+9 0 1 0 0 26 24 32 2.4
+9 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 2.7
+10 0 1 0 0 10 24 32 2.4
+10 0 1 0 0 11 24 32 2.1
+10 0 1 0 0 12 24 32 1.8
+10 0 1 0 0 13 24 32 1.5
+10 0 1 0 0 14 24 32 1.2
+10 0 1 0 0 15 24 32 0.9
+10 0 1 0 0 16 24 32 0.6
+10 0 1 0 0 17 24 32 0.3
+10 0 1 0 0 18 24 32 6.2803698347351e-16
+10 0 1 0 0 19 24 32 0.3
+10 0 1 0 0 20 24 32 0.600000000000001
+10 0 1 0 0 21 24 32 0.900000000000001
+10 0 1 0 0 22 24 32 1.2
+10 0 1 0 0 23 24 32 1.5
+10 0 1 0 0 24 24 32 1.8
+10 0 1 0 0 25 24 32 2.1
+10 0 1 0 0 26 24 32 2.4
+10 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 5.4
+10 0 0 0 0 2 24 32 4.8
+10 0 0 0 0 4 24 32 4.2
+10 0 0 0 0 6 24 32 3.6
+10 0 0 0 0 8 24 32 3
+10 0 0 0 0 10 24 32 2.4
+10 0 0 0 0 12 24 32 1.8
+10 0 0 0 0 14 24 32 1.2
+10 0 0 0 0 16 24 32 0.6
+10 0 0 0 0 18 24 32 6.2803698347351e-16
+10 0 0 0 0 20 24 32 0.600000000000001
+10 0 0 0 0 22 24 32 1.2
+10 0 0 0 0 24 24 32 1.8
+10 0 0 0 0 26 24 32 2.4
+10 0 0 0 0 28 24 32 3
+10 0 0 0 0 30 24 32 3.6
+10 0 0 0 0 32 24 32 4.2
+10 0 0 0 0 34 24 32 4.8
+10 0 0 0 0 36 24 32 5.4
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 2.7
+11 0 1 0 0 10 24 32 2.4
+11 0 1 0 0 11 24 32 2.1
+11 0 1 0 0 12 24 32 1.8
+11 0 1 0 0 13 24 32 1.5
+11 0 1 0 0 14 24 32 1.2
+11 0 1 0 0 15 24 32 0.9
+11 0 1 0 0 16 24 32 0.6
+11 0 1 0 0 17 24 32 0.3
+11 0 1 0 0 18 24 32 6.2803698347351e-16
+11 0 1 0 0 19 24 32 0.3
+11 0 1 0 0 20 24 32 0.600000000000001
+11 0 1 0 0 21 24 32 0.900000000000001
+11 0 1 0 0 22 24 32 1.2
+11 0 1 0 0 23 24 32 1.5
+11 0 1 0 0 24 24 32 1.8
+11 0 1 0 0 25 24 32 2.1
+11 0 1 0 0 26 24 32 2.4
+11 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 2.7
+12 0 1 0 0 10 24 32 2.4
+12 0 1 0 0 11 24 32 2.1
+12 0 1 0 0 12 24 32 1.8
+12 0 1 0 0 13 24 32 1.5
+12 0 1 0 0 14 24 32 1.2
+12 0 1 0 0 15 24 32 0.9
+12 0 1 0 0 16 24 32 0.6
+12 0 1 0 0 17 24 32 0.3
+12 0 1 0 0 18 24 32 6.2803698347351e-16
+12 0 1 0 0 19 24 32 0.3
+12 0 1 0 0 20 24 32 0.600000000000001
+12 0 1 0 0 21 24 32 0.900000000000001
+12 0 1 0 0 22 24 32 1.2
+12 0 1 0 0 23 24 32 1.5
+12 0 1 0 0 24 24 32 1.8
+12 0 1 0 0 25 24 32 2.1
+12 0 1 0 0 26 24 32 2.4
+12 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 5.4
+12 0 0 0 0 2 24 32 4.8
+12 0 0 0 0 4 24 32 4.2
+12 0 0 0 0 6 24 32 3.6
+12 0 0 0 0 8 24 32 3
+12 0 0 0 0 10 24 32 2.4
+12 0 0 0 0 12 24 32 1.8
+12 0 0 0 0 14 24 32 1.2
+12 0 0 0 0 16 24 32 0.6
+12 0 0 0 0 18 24 32 6.2803698347351e-16
+12 0 0 0 0 20 24 32 0.600000000000001
+12 0 0 0 0 22 24 32 1.2
+12 0 0 0 0 24 24 32 1.8
+12 0 0 0 0 26 24 32 2.4
+12 0 0 0 0 28 24 32 3
+12 0 0 0 0 30 24 32 3.6
+12 0 0 0 0 32 24 32 4.2
+12 0 0 0 0 34 24 32 4.8
+12 0 0 0 0 36 24 32 5.4
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/spher3d_r.yl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/spher3d_r.yl
new file mode 100644
index 000000000..68dfcb5aa
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/spher3d_r.yl
@@ -0,0 +1,622 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 3.3
+0 0 1 0 0 18 14 32 3
+0 0 1 0 0 18 15 32 2.7
+0 0 1 0 0 18 16 32 2.4
+0 0 1 0 0 18 17 32 2.1
+0 0 1 0 0 18 18 32 1.8
+0 0 1 0 0 18 19 32 1.5
+0 0 1 0 0 18 20 32 1.2
+0 0 1 0 0 18 21 32 0.9
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+0 0 1 0 0 18 24 32 6.2803698347351e-16
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+0 0 1 0 0 18 30 32 1.8
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+0 0 1 0 0 18 32 32 2.4
+0 0 1 0 0 18 33 32 2.7
+0 0 1 0 0 18 34 32 3
+0 0 1 0 0 18 35 32 3.3
+0 0 1 0 0 18 36 32 3.6
+0 0 1 0 0 18 37 32 3.9
+0 0 1 0 0 18 38 32 4.2
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 7.2
+0 0 0 0 0 18 2 32 6.6
+0 0 0 0 0 18 4 32 6
+0 0 0 0 0 18 6 32 5.4
+0 0 0 0 0 18 8 32 4.8
+0 0 0 0 0 18 10 32 4.2
+0 0 0 0 0 18 12 32 3.6
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+0 0 0 0 0 18 16 32 2.4
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+0 0 0 0 0 18 32 32 2.4
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+0 0 0 0 0 18 36 32 3.6
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+0 0 0 0 0 18 40 32 4.8
+0 0 0 0 0 18 42 32 5.4
+0 0 0 0 0 18 44 32 6
+0 0 0 0 0 18 46 32 6.6
+0 0 0 0 0 18 48 32 7.2
+0 0 0 0 0 18 50 32 7.8
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 3.3
+1 0 1 0 0 18 14 32 3
+1 0 1 0 0 18 15 32 2.7
+1 0 1 0 0 18 16 32 2.4
+1 0 1 0 0 18 17 32 2.1
+1 0 1 0 0 18 18 32 1.8
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+1 0 1 0 0 18 25 32 0.3
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+1 0 1 0 0 18 29 32 1.5
+1 0 1 0 0 18 30 32 1.8
+1 0 1 0 0 18 31 32 2.1
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+1 0 1 0 0 18 33 32 2.7
+1 0 1 0 0 18 34 32 3
+1 0 1 0 0 18 35 32 3.3
+1 0 1 0 0 18 36 32 3.6
+1 0 1 0 0 18 37 32 3.9
+1 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 3.3
+2 0 1 0 0 18 14 32 3
+2 0 1 0 0 18 15 32 2.7
+2 0 1 0 0 18 16 32 2.4
+2 0 1 0 0 18 17 32 2.1
+2 0 1 0 0 18 18 32 1.8
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+2 0 1 0 0 18 20 32 1.2
+2 0 1 0 0 18 21 32 0.9
+2 0 1 0 0 18 22 32 0.6
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+2 0 1 0 0 18 24 32 6.2803698347351e-16
+2 0 1 0 0 18 25 32 0.3
+2 0 1 0 0 18 26 32 0.6
+2 0 1 0 0 18 27 32 0.899999999999999
+2 0 1 0 0 18 28 32 1.2
+2 0 1 0 0 18 29 32 1.5
+2 0 1 0 0 18 30 32 1.8
+2 0 1 0 0 18 31 32 2.1
+2 0 1 0 0 18 32 32 2.4
+2 0 1 0 0 18 33 32 2.7
+2 0 1 0 0 18 34 32 3
+2 0 1 0 0 18 35 32 3.3
+2 0 1 0 0 18 36 32 3.6
+2 0 1 0 0 18 37 32 3.9
+2 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 7.2
+2 0 0 0 0 18 2 32 6.6
+2 0 0 0 0 18 4 32 6
+2 0 0 0 0 18 6 32 5.4
+2 0 0 0 0 18 8 32 4.8
+2 0 0 0 0 18 10 32 4.2
+2 0 0 0 0 18 12 32 3.6
+2 0 0 0 0 18 14 32 3
+2 0 0 0 0 18 16 32 2.4
+2 0 0 0 0 18 18 32 1.8
+2 0 0 0 0 18 20 32 1.2
+2 0 0 0 0 18 22 32 0.6
+2 0 0 0 0 18 24 32 6.2803698347351e-16
+2 0 0 0 0 18 26 32 0.6
+2 0 0 0 0 18 28 32 1.2
+2 0 0 0 0 18 30 32 1.8
+2 0 0 0 0 18 32 32 2.4
+2 0 0 0 0 18 34 32 3
+2 0 0 0 0 18 36 32 3.6
+2 0 0 0 0 18 38 32 4.2
+2 0 0 0 0 18 40 32 4.8
+2 0 0 0 0 18 42 32 5.4
+2 0 0 0 0 18 44 32 6
+2 0 0 0 0 18 46 32 6.6
+2 0 0 0 0 18 48 32 7.2
+2 0 0 0 0 18 50 32 7.8
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 3.3
+3 0 1 0 0 18 14 32 3
+3 0 1 0 0 18 15 32 2.7
+3 0 1 0 0 18 16 32 2.4
+3 0 1 0 0 18 17 32 2.1
+3 0 1 0 0 18 18 32 1.8
+3 0 1 0 0 18 19 32 1.5
+3 0 1 0 0 18 20 32 1.2
+3 0 1 0 0 18 21 32 0.9
+3 0 1 0 0 18 22 32 0.6
+3 0 1 0 0 18 23 32 0.3
+3 0 1 0 0 18 24 32 6.2803698347351e-16
+3 0 1 0 0 18 25 32 0.3
+3 0 1 0 0 18 26 32 0.6
+3 0 1 0 0 18 27 32 0.899999999999999
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+3 0 1 0 0 18 29 32 1.5
+3 0 1 0 0 18 30 32 1.8
+3 0 1 0 0 18 31 32 2.1
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+3 0 1 0 0 18 33 32 2.7
+3 0 1 0 0 18 34 32 3
+3 0 1 0 0 18 35 32 3.3
+3 0 1 0 0 18 36 32 3.6
+3 0 1 0 0 18 37 32 3.9
+3 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 3.3
+4 0 1 0 0 18 14 32 3
+4 0 1 0 0 18 15 32 2.7
+4 0 1 0 0 18 16 32 2.4
+4 0 1 0 0 18 17 32 2.1
+4 0 1 0 0 18 18 32 1.8
+4 0 1 0 0 18 19 32 1.5
+4 0 1 0 0 18 20 32 1.2
+4 0 1 0 0 18 21 32 0.9
+4 0 1 0 0 18 22 32 0.6
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+4 0 1 0 0 18 24 32 6.2803698347351e-16
+4 0 1 0 0 18 25 32 0.3
+4 0 1 0 0 18 26 32 0.6
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+4 0 1 0 0 18 29 32 1.5
+4 0 1 0 0 18 30 32 1.8
+4 0 1 0 0 18 31 32 2.1
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+4 0 1 0 0 18 33 32 2.7
+4 0 1 0 0 18 34 32 3
+4 0 1 0 0 18 35 32 3.3
+4 0 1 0 0 18 36 32 3.6
+4 0 1 0 0 18 37 32 3.9
+4 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 7.2
+4 0 0 0 0 18 2 32 6.6
+4 0 0 0 0 18 4 32 6
+4 0 0 0 0 18 6 32 5.4
+4 0 0 0 0 18 8 32 4.8
+4 0 0 0 0 18 10 32 4.2
+4 0 0 0 0 18 12 32 3.6
+4 0 0 0 0 18 14 32 3
+4 0 0 0 0 18 16 32 2.4
+4 0 0 0 0 18 18 32 1.8
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+4 0 0 0 0 18 40 32 4.8
+4 0 0 0 0 18 42 32 5.4
+4 0 0 0 0 18 44 32 6
+4 0 0 0 0 18 46 32 6.6
+4 0 0 0 0 18 48 32 7.2
+4 0 0 0 0 18 50 32 7.8
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 3.3
+5 0 1 0 0 18 14 32 3
+5 0 1 0 0 18 15 32 2.7
+5 0 1 0 0 18 16 32 2.4
+5 0 1 0 0 18 17 32 2.1
+5 0 1 0 0 18 18 32 1.8
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+5 0 1 0 0 18 31 32 2.1
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+5 0 1 0 0 18 34 32 3
+5 0 1 0 0 18 35 32 3.3
+5 0 1 0 0 18 36 32 3.6
+5 0 1 0 0 18 37 32 3.9
+5 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 3.3
+6 0 1 0 0 18 14 32 3
+6 0 1 0 0 18 15 32 2.7
+6 0 1 0 0 18 16 32 2.4
+6 0 1 0 0 18 17 32 2.1
+6 0 1 0 0 18 18 32 1.8
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+6 0 1 0 0 18 30 32 1.8
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+6 0 1 0 0 18 34 32 3
+6 0 1 0 0 18 35 32 3.3
+6 0 1 0 0 18 36 32 3.6
+6 0 1 0 0 18 37 32 3.9
+6 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 7.2
+6 0 0 0 0 18 2 32 6.6
+6 0 0 0 0 18 4 32 6
+6 0 0 0 0 18 6 32 5.4
+6 0 0 0 0 18 8 32 4.8
+6 0 0 0 0 18 10 32 4.2
+6 0 0 0 0 18 12 32 3.6
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+6 0 0 0 0 18 42 32 5.4
+6 0 0 0 0 18 44 32 6
+6 0 0 0 0 18 46 32 6.6
+6 0 0 0 0 18 48 32 7.2
+6 0 0 0 0 18 50 32 7.8
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 3.3
+7 0 1 0 0 18 14 32 3
+7 0 1 0 0 18 15 32 2.7
+7 0 1 0 0 18 16 32 2.4
+7 0 1 0 0 18 17 32 2.1
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+7 0 1 0 0 18 31 32 2.1
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+7 0 1 0 0 18 34 32 3
+7 0 1 0 0 18 35 32 3.3
+7 0 1 0 0 18 36 32 3.6
+7 0 1 0 0 18 37 32 3.9
+7 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 3.3
+8 0 1 0 0 18 14 32 3
+8 0 1 0 0 18 15 32 2.7
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+8 0 1 0 0 18 17 32 2.1
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+8 0 1 0 0 18 34 32 3
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+8 0 1 0 0 18 36 32 3.6
+8 0 1 0 0 18 37 32 3.9
+8 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 7.2
+8 0 0 0 0 18 2 32 6.6
+8 0 0 0 0 18 4 32 6
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+8 0 0 0 0 18 8 32 4.8
+8 0 0 0 0 18 10 32 4.2
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+8 0 0 0 0 18 42 32 5.4
+8 0 0 0 0 18 44 32 6
+8 0 0 0 0 18 46 32 6.6
+8 0 0 0 0 18 48 32 7.2
+8 0 0 0 0 18 50 32 7.8
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 3.3
+9 0 1 0 0 18 14 32 3
+9 0 1 0 0 18 15 32 2.7
+9 0 1 0 0 18 16 32 2.4
+9 0 1 0 0 18 17 32 2.1
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+9 0 1 0 0 18 34 32 3
+9 0 1 0 0 18 35 32 3.3
+9 0 1 0 0 18 36 32 3.6
+9 0 1 0 0 18 37 32 3.9
+9 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 3.3
+10 0 1 0 0 18 14 32 3
+10 0 1 0 0 18 15 32 2.7
+10 0 1 0 0 18 16 32 2.4
+10 0 1 0 0 18 17 32 2.1
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+10 0 1 0 0 18 24 32 6.2803698347351e-16
+10 0 1 0 0 18 25 32 0.3
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+10 0 1 0 0 18 30 32 1.8
+10 0 1 0 0 18 31 32 2.1
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+10 0 1 0 0 18 33 32 2.7
+10 0 1 0 0 18 34 32 3
+10 0 1 0 0 18 35 32 3.3
+10 0 1 0 0 18 36 32 3.6
+10 0 1 0 0 18 37 32 3.9
+10 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 7.2
+10 0 0 0 0 18 2 32 6.6
+10 0 0 0 0 18 4 32 6
+10 0 0 0 0 18 6 32 5.4
+10 0 0 0 0 18 8 32 4.8
+10 0 0 0 0 18 10 32 4.2
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+10 0 0 0 0 18 14 32 3
+10 0 0 0 0 18 16 32 2.4
+10 0 0 0 0 18 18 32 1.8
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+10 0 0 0 0 18 22 32 0.6
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+10 0 0 0 0 18 32 32 2.4
+10 0 0 0 0 18 34 32 3
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+10 0 0 0 0 18 42 32 5.4
+10 0 0 0 0 18 44 32 6
+10 0 0 0 0 18 46 32 6.6
+10 0 0 0 0 18 48 32 7.2
+10 0 0 0 0 18 50 32 7.8
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 3.3
+11 0 1 0 0 18 14 32 3
+11 0 1 0 0 18 15 32 2.7
+11 0 1 0 0 18 16 32 2.4
+11 0 1 0 0 18 17 32 2.1
+11 0 1 0 0 18 18 32 1.8
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+11 0 1 0 0 18 22 32 0.6
+11 0 1 0 0 18 23 32 0.3
+11 0 1 0 0 18 24 32 6.2803698347351e-16
+11 0 1 0 0 18 25 32 0.3
+11 0 1 0 0 18 26 32 0.6
+11 0 1 0 0 18 27 32 0.899999999999999
+11 0 1 0 0 18 28 32 1.2
+11 0 1 0 0 18 29 32 1.5
+11 0 1 0 0 18 30 32 1.8
+11 0 1 0 0 18 31 32 2.1
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+11 0 1 0 0 18 33 32 2.7
+11 0 1 0 0 18 34 32 3
+11 0 1 0 0 18 35 32 3.3
+11 0 1 0 0 18 36 32 3.6
+11 0 1 0 0 18 37 32 3.9
+11 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 3.3
+12 0 1 0 0 18 14 32 3
+12 0 1 0 0 18 15 32 2.7
+12 0 1 0 0 18 16 32 2.4
+12 0 1 0 0 18 17 32 2.1
+12 0 1 0 0 18 18 32 1.8
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+12 0 1 0 0 18 20 32 1.2
+12 0 1 0 0 18 21 32 0.9
+12 0 1 0 0 18 22 32 0.6
+12 0 1 0 0 18 23 32 0.3
+12 0 1 0 0 18 24 32 6.2803698347351e-16
+12 0 1 0 0 18 25 32 0.3
+12 0 1 0 0 18 26 32 0.6
+12 0 1 0 0 18 27 32 0.899999999999999
+12 0 1 0 0 18 28 32 1.2
+12 0 1 0 0 18 29 32 1.5
+12 0 1 0 0 18 30 32 1.8
+12 0 1 0 0 18 31 32 2.1
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+12 0 1 0 0 18 33 32 2.7
+12 0 1 0 0 18 34 32 3
+12 0 1 0 0 18 35 32 3.3
+12 0 1 0 0 18 36 32 3.6
+12 0 1 0 0 18 37 32 3.9
+12 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 7.2
+12 0 0 0 0 18 2 32 6.6
+12 0 0 0 0 18 4 32 6
+12 0 0 0 0 18 6 32 5.4
+12 0 0 0 0 18 8 32 4.8
+12 0 0 0 0 18 10 32 4.2
+12 0 0 0 0 18 12 32 3.6
+12 0 0 0 0 18 14 32 3
+12 0 0 0 0 18 16 32 2.4
+12 0 0 0 0 18 18 32 1.8
+12 0 0 0 0 18 20 32 1.2
+12 0 0 0 0 18 22 32 0.6
+12 0 0 0 0 18 24 32 6.2803698347351e-16
+12 0 0 0 0 18 26 32 0.6
+12 0 0 0 0 18 28 32 1.2
+12 0 0 0 0 18 30 32 1.8
+12 0 0 0 0 18 32 32 2.4
+12 0 0 0 0 18 34 32 3
+12 0 0 0 0 18 36 32 3.6
+12 0 0 0 0 18 38 32 4.2
+12 0 0 0 0 18 40 32 4.8
+12 0 0 0 0 18 42 32 5.4
+12 0 0 0 0 18 44 32 6
+12 0 0 0 0 18 46 32 6.6
+12 0 0 0 0 18 48 32 7.2
+12 0 0 0 0 18 50 32 7.8
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/spher3d_r.zl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/spher3d_r.zl
new file mode 100644
index 000000000..28167d1c4
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl2/spher3d_r.zl
@@ -0,0 +1,782 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 4.5
+0 0 1 0 0 18 24 18 4.2
+0 0 1 0 0 18 24 19 3.9
+0 0 1 0 0 18 24 20 3.6
+0 0 1 0 0 18 24 21 3.3
+0 0 1 0 0 18 24 22 3
+0 0 1 0 0 18 24 23 2.7
+0 0 1 0 0 18 24 24 2.4
+0 0 1 0 0 18 24 25 2.1
+0 0 1 0 0 18 24 26 1.8
+0 0 1 0 0 18 24 27 1.5
+0 0 1 0 0 18 24 28 1.2
+0 0 1 0 0 18 24 29 0.9
+0 0 1 0 0 18 24 30 0.6
+0 0 1 0 0 18 24 31 0.3
+0 0 1 0 0 18 24 32 6.2803698347351e-16
+0 0 1 0 0 18 24 33 0.3
+0 0 1 0 0 18 24 34 0.6
+0 0 1 0 0 18 24 35 0.9
+0 0 1 0 0 18 24 36 1.2
+0 0 1 0 0 18 24 37 1.5
+0 0 1 0 0 18 24 38 1.8
+0 0 1 0 0 18 24 39 2.1
+0 0 1 0 0 18 24 40 2.4
+0 0 1 0 0 18 24 41 2.7
+0 0 1 0 0 18 24 42 3
+0 0 1 0 0 18 24 43 3.3
+0 0 1 0 0 18 24 44 3.6
+0 0 1 0 0 18 24 45 3.9
+0 0 1 0 0 18 24 46 4.2
+0 0 1 0 0 18 24 47 4.5
+0 0 1 0 0 18 24 48 4.8
+0 0 1 0 0 18 24 49 5.1
+0 0 1 0 0 18 24 50 5.4
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 9.6
+0 0 0 0 0 18 24 2 9
+0 0 0 0 0 18 24 4 8.4
+0 0 0 0 0 18 24 6 7.8
+0 0 0 0 0 18 24 8 7.2
+0 0 0 0 0 18 24 10 6.6
+0 0 0 0 0 18 24 12 6
+0 0 0 0 0 18 24 14 5.4
+0 0 0 0 0 18 24 16 4.8
+0 0 0 0 0 18 24 18 4.2
+0 0 0 0 0 18 24 20 3.6
+0 0 0 0 0 18 24 22 3
+0 0 0 0 0 18 24 24 2.4
+0 0 0 0 0 18 24 26 1.8
+0 0 0 0 0 18 24 28 1.2
+0 0 0 0 0 18 24 30 0.6
+0 0 0 0 0 18 24 32 6.2803698347351e-16
+0 0 0 0 0 18 24 34 0.6
+0 0 0 0 0 18 24 36 1.2
+0 0 0 0 0 18 24 38 1.8
+0 0 0 0 0 18 24 40 2.4
+0 0 0 0 0 18 24 42 3
+0 0 0 0 0 18 24 44 3.6
+0 0 0 0 0 18 24 46 4.2
+0 0 0 0 0 18 24 48 4.8
+0 0 0 0 0 18 24 50 5.4
+0 0 0 0 0 18 24 52 6
+0 0 0 0 0 18 24 54 6.6
+0 0 0 0 0 18 24 56 7.2
+0 0 0 0 0 18 24 58 7.8
+0 0 0 0 0 18 24 60 8.4
+0 0 0 0 0 18 24 62 9
+0 0 0 0 0 18 24 64 9.6
+0 0 0 0 0 18 24 66 10.2
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 4.5
+1 0 1 0 0 18 24 18 4.2
+1 0 1 0 0 18 24 19 3.9
+1 0 1 0 0 18 24 20 3.6
+1 0 1 0 0 18 24 21 3.3
+1 0 1 0 0 18 24 22 3
+1 0 1 0 0 18 24 23 2.7
+1 0 1 0 0 18 24 24 2.4
+1 0 1 0 0 18 24 25 2.1
+1 0 1 0 0 18 24 26 1.8
+1 0 1 0 0 18 24 27 1.5
+1 0 1 0 0 18 24 28 1.2
+1 0 1 0 0 18 24 29 0.9
+1 0 1 0 0 18 24 30 0.6
+1 0 1 0 0 18 24 31 0.3
+1 0 1 0 0 18 24 32 6.2803698347351e-16
+1 0 1 0 0 18 24 33 0.3
+1 0 1 0 0 18 24 34 0.6
+1 0 1 0 0 18 24 35 0.9
+1 0 1 0 0 18 24 36 1.2
+1 0 1 0 0 18 24 37 1.5
+1 0 1 0 0 18 24 38 1.8
+1 0 1 0 0 18 24 39 2.1
+1 0 1 0 0 18 24 40 2.4
+1 0 1 0 0 18 24 41 2.7
+1 0 1 0 0 18 24 42 3
+1 0 1 0 0 18 24 43 3.3
+1 0 1 0 0 18 24 44 3.6
+1 0 1 0 0 18 24 45 3.9
+1 0 1 0 0 18 24 46 4.2
+1 0 1 0 0 18 24 47 4.5
+1 0 1 0 0 18 24 48 4.8
+1 0 1 0 0 18 24 49 5.1
+1 0 1 0 0 18 24 50 5.4
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 4.5
+2 0 1 0 0 18 24 18 4.2
+2 0 1 0 0 18 24 19 3.9
+2 0 1 0 0 18 24 20 3.6
+2 0 1 0 0 18 24 21 3.3
+2 0 1 0 0 18 24 22 3
+2 0 1 0 0 18 24 23 2.7
+2 0 1 0 0 18 24 24 2.4
+2 0 1 0 0 18 24 25 2.1
+2 0 1 0 0 18 24 26 1.8
+2 0 1 0 0 18 24 27 1.5
+2 0 1 0 0 18 24 28 1.2
+2 0 1 0 0 18 24 29 0.9
+2 0 1 0 0 18 24 30 0.6
+2 0 1 0 0 18 24 31 0.3
+2 0 1 0 0 18 24 32 6.2803698347351e-16
+2 0 1 0 0 18 24 33 0.3
+2 0 1 0 0 18 24 34 0.6
+2 0 1 0 0 18 24 35 0.9
+2 0 1 0 0 18 24 36 1.2
+2 0 1 0 0 18 24 37 1.5
+2 0 1 0 0 18 24 38 1.8
+2 0 1 0 0 18 24 39 2.1
+2 0 1 0 0 18 24 40 2.4
+2 0 1 0 0 18 24 41 2.7
+2 0 1 0 0 18 24 42 3
+2 0 1 0 0 18 24 43 3.3
+2 0 1 0 0 18 24 44 3.6
+2 0 1 0 0 18 24 45 3.9
+2 0 1 0 0 18 24 46 4.2
+2 0 1 0 0 18 24 47 4.5
+2 0 1 0 0 18 24 48 4.8
+2 0 1 0 0 18 24 49 5.1
+2 0 1 0 0 18 24 50 5.4
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 9.6
+2 0 0 0 0 18 24 2 9
+2 0 0 0 0 18 24 4 8.4
+2 0 0 0 0 18 24 6 7.8
+2 0 0 0 0 18 24 8 7.2
+2 0 0 0 0 18 24 10 6.6
+2 0 0 0 0 18 24 12 6
+2 0 0 0 0 18 24 14 5.4
+2 0 0 0 0 18 24 16 4.8
+2 0 0 0 0 18 24 18 4.2
+2 0 0 0 0 18 24 20 3.6
+2 0 0 0 0 18 24 22 3
+2 0 0 0 0 18 24 24 2.4
+2 0 0 0 0 18 24 26 1.8
+2 0 0 0 0 18 24 28 1.2
+2 0 0 0 0 18 24 30 0.6
+2 0 0 0 0 18 24 32 6.2803698347351e-16
+2 0 0 0 0 18 24 34 0.6
+2 0 0 0 0 18 24 36 1.2
+2 0 0 0 0 18 24 38 1.8
+2 0 0 0 0 18 24 40 2.4
+2 0 0 0 0 18 24 42 3
+2 0 0 0 0 18 24 44 3.6
+2 0 0 0 0 18 24 46 4.2
+2 0 0 0 0 18 24 48 4.8
+2 0 0 0 0 18 24 50 5.4
+2 0 0 0 0 18 24 52 6
+2 0 0 0 0 18 24 54 6.6
+2 0 0 0 0 18 24 56 7.2
+2 0 0 0 0 18 24 58 7.8
+2 0 0 0 0 18 24 60 8.4
+2 0 0 0 0 18 24 62 9
+2 0 0 0 0 18 24 64 9.6
+2 0 0 0 0 18 24 66 10.2
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 4.5
+3 0 1 0 0 18 24 18 4.2
+3 0 1 0 0 18 24 19 3.9
+3 0 1 0 0 18 24 20 3.6
+3 0 1 0 0 18 24 21 3.3
+3 0 1 0 0 18 24 22 3
+3 0 1 0 0 18 24 23 2.7
+3 0 1 0 0 18 24 24 2.4
+3 0 1 0 0 18 24 25 2.1
+3 0 1 0 0 18 24 26 1.8
+3 0 1 0 0 18 24 27 1.5
+3 0 1 0 0 18 24 28 1.2
+3 0 1 0 0 18 24 29 0.9
+3 0 1 0 0 18 24 30 0.6
+3 0 1 0 0 18 24 31 0.3
+3 0 1 0 0 18 24 32 6.2803698347351e-16
+3 0 1 0 0 18 24 33 0.3
+3 0 1 0 0 18 24 34 0.6
+3 0 1 0 0 18 24 35 0.9
+3 0 1 0 0 18 24 36 1.2
+3 0 1 0 0 18 24 37 1.5
+3 0 1 0 0 18 24 38 1.8
+3 0 1 0 0 18 24 39 2.1
+3 0 1 0 0 18 24 40 2.4
+3 0 1 0 0 18 24 41 2.7
+3 0 1 0 0 18 24 42 3
+3 0 1 0 0 18 24 43 3.3
+3 0 1 0 0 18 24 44 3.6
+3 0 1 0 0 18 24 45 3.9
+3 0 1 0 0 18 24 46 4.2
+3 0 1 0 0 18 24 47 4.5
+3 0 1 0 0 18 24 48 4.8
+3 0 1 0 0 18 24 49 5.1
+3 0 1 0 0 18 24 50 5.4
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 4.5
+4 0 1 0 0 18 24 18 4.2
+4 0 1 0 0 18 24 19 3.9
+4 0 1 0 0 18 24 20 3.6
+4 0 1 0 0 18 24 21 3.3
+4 0 1 0 0 18 24 22 3
+4 0 1 0 0 18 24 23 2.7
+4 0 1 0 0 18 24 24 2.4
+4 0 1 0 0 18 24 25 2.1
+4 0 1 0 0 18 24 26 1.8
+4 0 1 0 0 18 24 27 1.5
+4 0 1 0 0 18 24 28 1.2
+4 0 1 0 0 18 24 29 0.9
+4 0 1 0 0 18 24 30 0.6
+4 0 1 0 0 18 24 31 0.3
+4 0 1 0 0 18 24 32 6.2803698347351e-16
+4 0 1 0 0 18 24 33 0.3
+4 0 1 0 0 18 24 34 0.6
+4 0 1 0 0 18 24 35 0.9
+4 0 1 0 0 18 24 36 1.2
+4 0 1 0 0 18 24 37 1.5
+4 0 1 0 0 18 24 38 1.8
+4 0 1 0 0 18 24 39 2.1
+4 0 1 0 0 18 24 40 2.4
+4 0 1 0 0 18 24 41 2.7
+4 0 1 0 0 18 24 42 3
+4 0 1 0 0 18 24 43 3.3
+4 0 1 0 0 18 24 44 3.6
+4 0 1 0 0 18 24 45 3.9
+4 0 1 0 0 18 24 46 4.2
+4 0 1 0 0 18 24 47 4.5
+4 0 1 0 0 18 24 48 4.8
+4 0 1 0 0 18 24 49 5.1
+4 0 1 0 0 18 24 50 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 9.6
+4 0 0 0 0 18 24 2 9
+4 0 0 0 0 18 24 4 8.4
+4 0 0 0 0 18 24 6 7.8
+4 0 0 0 0 18 24 8 7.2
+4 0 0 0 0 18 24 10 6.6
+4 0 0 0 0 18 24 12 6
+4 0 0 0 0 18 24 14 5.4
+4 0 0 0 0 18 24 16 4.8
+4 0 0 0 0 18 24 18 4.2
+4 0 0 0 0 18 24 20 3.6
+4 0 0 0 0 18 24 22 3
+4 0 0 0 0 18 24 24 2.4
+4 0 0 0 0 18 24 26 1.8
+4 0 0 0 0 18 24 28 1.2
+4 0 0 0 0 18 24 30 0.6
+4 0 0 0 0 18 24 32 6.2803698347351e-16
+4 0 0 0 0 18 24 34 0.6
+4 0 0 0 0 18 24 36 1.2
+4 0 0 0 0 18 24 38 1.8
+4 0 0 0 0 18 24 40 2.4
+4 0 0 0 0 18 24 42 3
+4 0 0 0 0 18 24 44 3.6
+4 0 0 0 0 18 24 46 4.2
+4 0 0 0 0 18 24 48 4.8
+4 0 0 0 0 18 24 50 5.4
+4 0 0 0 0 18 24 52 6
+4 0 0 0 0 18 24 54 6.6
+4 0 0 0 0 18 24 56 7.2
+4 0 0 0 0 18 24 58 7.8
+4 0 0 0 0 18 24 60 8.4
+4 0 0 0 0 18 24 62 9
+4 0 0 0 0 18 24 64 9.6
+4 0 0 0 0 18 24 66 10.2
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 4.5
+5 0 1 0 0 18 24 18 4.2
+5 0 1 0 0 18 24 19 3.9
+5 0 1 0 0 18 24 20 3.6
+5 0 1 0 0 18 24 21 3.3
+5 0 1 0 0 18 24 22 3
+5 0 1 0 0 18 24 23 2.7
+5 0 1 0 0 18 24 24 2.4
+5 0 1 0 0 18 24 25 2.1
+5 0 1 0 0 18 24 26 1.8
+5 0 1 0 0 18 24 27 1.5
+5 0 1 0 0 18 24 28 1.2
+5 0 1 0 0 18 24 29 0.9
+5 0 1 0 0 18 24 30 0.6
+5 0 1 0 0 18 24 31 0.3
+5 0 1 0 0 18 24 32 6.2803698347351e-16
+5 0 1 0 0 18 24 33 0.3
+5 0 1 0 0 18 24 34 0.6
+5 0 1 0 0 18 24 35 0.9
+5 0 1 0 0 18 24 36 1.2
+5 0 1 0 0 18 24 37 1.5
+5 0 1 0 0 18 24 38 1.8
+5 0 1 0 0 18 24 39 2.1
+5 0 1 0 0 18 24 40 2.4
+5 0 1 0 0 18 24 41 2.7
+5 0 1 0 0 18 24 42 3
+5 0 1 0 0 18 24 43 3.3
+5 0 1 0 0 18 24 44 3.6
+5 0 1 0 0 18 24 45 3.9
+5 0 1 0 0 18 24 46 4.2
+5 0 1 0 0 18 24 47 4.5
+5 0 1 0 0 18 24 48 4.8
+5 0 1 0 0 18 24 49 5.1
+5 0 1 0 0 18 24 50 5.4
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 4.5
+6 0 1 0 0 18 24 18 4.2
+6 0 1 0 0 18 24 19 3.9
+6 0 1 0 0 18 24 20 3.6
+6 0 1 0 0 18 24 21 3.3
+6 0 1 0 0 18 24 22 3
+6 0 1 0 0 18 24 23 2.7
+6 0 1 0 0 18 24 24 2.4
+6 0 1 0 0 18 24 25 2.1
+6 0 1 0 0 18 24 26 1.8
+6 0 1 0 0 18 24 27 1.5
+6 0 1 0 0 18 24 28 1.2
+6 0 1 0 0 18 24 29 0.9
+6 0 1 0 0 18 24 30 0.6
+6 0 1 0 0 18 24 31 0.3
+6 0 1 0 0 18 24 32 6.2803698347351e-16
+6 0 1 0 0 18 24 33 0.3
+6 0 1 0 0 18 24 34 0.6
+6 0 1 0 0 18 24 35 0.9
+6 0 1 0 0 18 24 36 1.2
+6 0 1 0 0 18 24 37 1.5
+6 0 1 0 0 18 24 38 1.8
+6 0 1 0 0 18 24 39 2.1
+6 0 1 0 0 18 24 40 2.4
+6 0 1 0 0 18 24 41 2.7
+6 0 1 0 0 18 24 42 3
+6 0 1 0 0 18 24 43 3.3
+6 0 1 0 0 18 24 44 3.6
+6 0 1 0 0 18 24 45 3.9
+6 0 1 0 0 18 24 46 4.2
+6 0 1 0 0 18 24 47 4.5
+6 0 1 0 0 18 24 48 4.8
+6 0 1 0 0 18 24 49 5.1
+6 0 1 0 0 18 24 50 5.4
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 9.6
+6 0 0 0 0 18 24 2 9
+6 0 0 0 0 18 24 4 8.4
+6 0 0 0 0 18 24 6 7.8
+6 0 0 0 0 18 24 8 7.2
+6 0 0 0 0 18 24 10 6.6
+6 0 0 0 0 18 24 12 6
+6 0 0 0 0 18 24 14 5.4
+6 0 0 0 0 18 24 16 4.8
+6 0 0 0 0 18 24 18 4.2
+6 0 0 0 0 18 24 20 3.6
+6 0 0 0 0 18 24 22 3
+6 0 0 0 0 18 24 24 2.4
+6 0 0 0 0 18 24 26 1.8
+6 0 0 0 0 18 24 28 1.2
+6 0 0 0 0 18 24 30 0.6
+6 0 0 0 0 18 24 32 6.2803698347351e-16
+6 0 0 0 0 18 24 34 0.6
+6 0 0 0 0 18 24 36 1.2
+6 0 0 0 0 18 24 38 1.8
+6 0 0 0 0 18 24 40 2.4
+6 0 0 0 0 18 24 42 3
+6 0 0 0 0 18 24 44 3.6
+6 0 0 0 0 18 24 46 4.2
+6 0 0 0 0 18 24 48 4.8
+6 0 0 0 0 18 24 50 5.4
+6 0 0 0 0 18 24 52 6
+6 0 0 0 0 18 24 54 6.6
+6 0 0 0 0 18 24 56 7.2
+6 0 0 0 0 18 24 58 7.8
+6 0 0 0 0 18 24 60 8.4
+6 0 0 0 0 18 24 62 9
+6 0 0 0 0 18 24 64 9.6
+6 0 0 0 0 18 24 66 10.2
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 4.5
+7 0 1 0 0 18 24 18 4.2
+7 0 1 0 0 18 24 19 3.9
+7 0 1 0 0 18 24 20 3.6
+7 0 1 0 0 18 24 21 3.3
+7 0 1 0 0 18 24 22 3
+7 0 1 0 0 18 24 23 2.7
+7 0 1 0 0 18 24 24 2.4
+7 0 1 0 0 18 24 25 2.1
+7 0 1 0 0 18 24 26 1.8
+7 0 1 0 0 18 24 27 1.5
+7 0 1 0 0 18 24 28 1.2
+7 0 1 0 0 18 24 29 0.9
+7 0 1 0 0 18 24 30 0.6
+7 0 1 0 0 18 24 31 0.3
+7 0 1 0 0 18 24 32 6.2803698347351e-16
+7 0 1 0 0 18 24 33 0.3
+7 0 1 0 0 18 24 34 0.6
+7 0 1 0 0 18 24 35 0.9
+7 0 1 0 0 18 24 36 1.2
+7 0 1 0 0 18 24 37 1.5
+7 0 1 0 0 18 24 38 1.8
+7 0 1 0 0 18 24 39 2.1
+7 0 1 0 0 18 24 40 2.4
+7 0 1 0 0 18 24 41 2.7
+7 0 1 0 0 18 24 42 3
+7 0 1 0 0 18 24 43 3.3
+7 0 1 0 0 18 24 44 3.6
+7 0 1 0 0 18 24 45 3.9
+7 0 1 0 0 18 24 46 4.2
+7 0 1 0 0 18 24 47 4.5
+7 0 1 0 0 18 24 48 4.8
+7 0 1 0 0 18 24 49 5.1
+7 0 1 0 0 18 24 50 5.4
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 4.5
+8 0 1 0 0 18 24 18 4.2
+8 0 1 0 0 18 24 19 3.9
+8 0 1 0 0 18 24 20 3.6
+8 0 1 0 0 18 24 21 3.3
+8 0 1 0 0 18 24 22 3
+8 0 1 0 0 18 24 23 2.7
+8 0 1 0 0 18 24 24 2.4
+8 0 1 0 0 18 24 25 2.1
+8 0 1 0 0 18 24 26 1.8
+8 0 1 0 0 18 24 27 1.5
+8 0 1 0 0 18 24 28 1.2
+8 0 1 0 0 18 24 29 0.9
+8 0 1 0 0 18 24 30 0.6
+8 0 1 0 0 18 24 31 0.3
+8 0 1 0 0 18 24 32 6.2803698347351e-16
+8 0 1 0 0 18 24 33 0.3
+8 0 1 0 0 18 24 34 0.6
+8 0 1 0 0 18 24 35 0.9
+8 0 1 0 0 18 24 36 1.2
+8 0 1 0 0 18 24 37 1.5
+8 0 1 0 0 18 24 38 1.8
+8 0 1 0 0 18 24 39 2.1
+8 0 1 0 0 18 24 40 2.4
+8 0 1 0 0 18 24 41 2.7
+8 0 1 0 0 18 24 42 3
+8 0 1 0 0 18 24 43 3.3
+8 0 1 0 0 18 24 44 3.6
+8 0 1 0 0 18 24 45 3.9
+8 0 1 0 0 18 24 46 4.2
+8 0 1 0 0 18 24 47 4.5
+8 0 1 0 0 18 24 48 4.8
+8 0 1 0 0 18 24 49 5.1
+8 0 1 0 0 18 24 50 5.4
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 9.6
+8 0 0 0 0 18 24 2 9
+8 0 0 0 0 18 24 4 8.4
+8 0 0 0 0 18 24 6 7.8
+8 0 0 0 0 18 24 8 7.2
+8 0 0 0 0 18 24 10 6.6
+8 0 0 0 0 18 24 12 6
+8 0 0 0 0 18 24 14 5.4
+8 0 0 0 0 18 24 16 4.8
+8 0 0 0 0 18 24 18 4.2
+8 0 0 0 0 18 24 20 3.6
+8 0 0 0 0 18 24 22 3
+8 0 0 0 0 18 24 24 2.4
+8 0 0 0 0 18 24 26 1.8
+8 0 0 0 0 18 24 28 1.2
+8 0 0 0 0 18 24 30 0.6
+8 0 0 0 0 18 24 32 6.2803698347351e-16
+8 0 0 0 0 18 24 34 0.6
+8 0 0 0 0 18 24 36 1.2
+8 0 0 0 0 18 24 38 1.8
+8 0 0 0 0 18 24 40 2.4
+8 0 0 0 0 18 24 42 3
+8 0 0 0 0 18 24 44 3.6
+8 0 0 0 0 18 24 46 4.2
+8 0 0 0 0 18 24 48 4.8
+8 0 0 0 0 18 24 50 5.4
+8 0 0 0 0 18 24 52 6
+8 0 0 0 0 18 24 54 6.6
+8 0 0 0 0 18 24 56 7.2
+8 0 0 0 0 18 24 58 7.8
+8 0 0 0 0 18 24 60 8.4
+8 0 0 0 0 18 24 62 9
+8 0 0 0 0 18 24 64 9.6
+8 0 0 0 0 18 24 66 10.2
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 4.5
+9 0 1 0 0 18 24 18 4.2
+9 0 1 0 0 18 24 19 3.9
+9 0 1 0 0 18 24 20 3.6
+9 0 1 0 0 18 24 21 3.3
+9 0 1 0 0 18 24 22 3
+9 0 1 0 0 18 24 23 2.7
+9 0 1 0 0 18 24 24 2.4
+9 0 1 0 0 18 24 25 2.1
+9 0 1 0 0 18 24 26 1.8
+9 0 1 0 0 18 24 27 1.5
+9 0 1 0 0 18 24 28 1.2
+9 0 1 0 0 18 24 29 0.9
+9 0 1 0 0 18 24 30 0.6
+9 0 1 0 0 18 24 31 0.3
+9 0 1 0 0 18 24 32 6.2803698347351e-16
+9 0 1 0 0 18 24 33 0.3
+9 0 1 0 0 18 24 34 0.6
+9 0 1 0 0 18 24 35 0.9
+9 0 1 0 0 18 24 36 1.2
+9 0 1 0 0 18 24 37 1.5
+9 0 1 0 0 18 24 38 1.8
+9 0 1 0 0 18 24 39 2.1
+9 0 1 0 0 18 24 40 2.4
+9 0 1 0 0 18 24 41 2.7
+9 0 1 0 0 18 24 42 3
+9 0 1 0 0 18 24 43 3.3
+9 0 1 0 0 18 24 44 3.6
+9 0 1 0 0 18 24 45 3.9
+9 0 1 0 0 18 24 46 4.2
+9 0 1 0 0 18 24 47 4.5
+9 0 1 0 0 18 24 48 4.8
+9 0 1 0 0 18 24 49 5.1
+9 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 4.5
+10 0 1 0 0 18 24 18 4.2
+10 0 1 0 0 18 24 19 3.9
+10 0 1 0 0 18 24 20 3.6
+10 0 1 0 0 18 24 21 3.3
+10 0 1 0 0 18 24 22 3
+10 0 1 0 0 18 24 23 2.7
+10 0 1 0 0 18 24 24 2.4
+10 0 1 0 0 18 24 25 2.1
+10 0 1 0 0 18 24 26 1.8
+10 0 1 0 0 18 24 27 1.5
+10 0 1 0 0 18 24 28 1.2
+10 0 1 0 0 18 24 29 0.9
+10 0 1 0 0 18 24 30 0.6
+10 0 1 0 0 18 24 31 0.3
+10 0 1 0 0 18 24 32 6.2803698347351e-16
+10 0 1 0 0 18 24 33 0.3
+10 0 1 0 0 18 24 34 0.6
+10 0 1 0 0 18 24 35 0.9
+10 0 1 0 0 18 24 36 1.2
+10 0 1 0 0 18 24 37 1.5
+10 0 1 0 0 18 24 38 1.8
+10 0 1 0 0 18 24 39 2.1
+10 0 1 0 0 18 24 40 2.4
+10 0 1 0 0 18 24 41 2.7
+10 0 1 0 0 18 24 42 3
+10 0 1 0 0 18 24 43 3.3
+10 0 1 0 0 18 24 44 3.6
+10 0 1 0 0 18 24 45 3.9
+10 0 1 0 0 18 24 46 4.2
+10 0 1 0 0 18 24 47 4.5
+10 0 1 0 0 18 24 48 4.8
+10 0 1 0 0 18 24 49 5.1
+10 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 9.6
+10 0 0 0 0 18 24 2 9
+10 0 0 0 0 18 24 4 8.4
+10 0 0 0 0 18 24 6 7.8
+10 0 0 0 0 18 24 8 7.2
+10 0 0 0 0 18 24 10 6.6
+10 0 0 0 0 18 24 12 6
+10 0 0 0 0 18 24 14 5.4
+10 0 0 0 0 18 24 16 4.8
+10 0 0 0 0 18 24 18 4.2
+10 0 0 0 0 18 24 20 3.6
+10 0 0 0 0 18 24 22 3
+10 0 0 0 0 18 24 24 2.4
+10 0 0 0 0 18 24 26 1.8
+10 0 0 0 0 18 24 28 1.2
+10 0 0 0 0 18 24 30 0.6
+10 0 0 0 0 18 24 32 6.2803698347351e-16
+10 0 0 0 0 18 24 34 0.6
+10 0 0 0 0 18 24 36 1.2
+10 0 0 0 0 18 24 38 1.8
+10 0 0 0 0 18 24 40 2.4
+10 0 0 0 0 18 24 42 3
+10 0 0 0 0 18 24 44 3.6
+10 0 0 0 0 18 24 46 4.2
+10 0 0 0 0 18 24 48 4.8
+10 0 0 0 0 18 24 50 5.4
+10 0 0 0 0 18 24 52 6
+10 0 0 0 0 18 24 54 6.6
+10 0 0 0 0 18 24 56 7.2
+10 0 0 0 0 18 24 58 7.8
+10 0 0 0 0 18 24 60 8.4
+10 0 0 0 0 18 24 62 9
+10 0 0 0 0 18 24 64 9.6
+10 0 0 0 0 18 24 66 10.2
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 4.5
+11 0 1 0 0 18 24 18 4.2
+11 0 1 0 0 18 24 19 3.9
+11 0 1 0 0 18 24 20 3.6
+11 0 1 0 0 18 24 21 3.3
+11 0 1 0 0 18 24 22 3
+11 0 1 0 0 18 24 23 2.7
+11 0 1 0 0 18 24 24 2.4
+11 0 1 0 0 18 24 25 2.1
+11 0 1 0 0 18 24 26 1.8
+11 0 1 0 0 18 24 27 1.5
+11 0 1 0 0 18 24 28 1.2
+11 0 1 0 0 18 24 29 0.9
+11 0 1 0 0 18 24 30 0.6
+11 0 1 0 0 18 24 31 0.3
+11 0 1 0 0 18 24 32 6.2803698347351e-16
+11 0 1 0 0 18 24 33 0.3
+11 0 1 0 0 18 24 34 0.6
+11 0 1 0 0 18 24 35 0.9
+11 0 1 0 0 18 24 36 1.2
+11 0 1 0 0 18 24 37 1.5
+11 0 1 0 0 18 24 38 1.8
+11 0 1 0 0 18 24 39 2.1
+11 0 1 0 0 18 24 40 2.4
+11 0 1 0 0 18 24 41 2.7
+11 0 1 0 0 18 24 42 3
+11 0 1 0 0 18 24 43 3.3
+11 0 1 0 0 18 24 44 3.6
+11 0 1 0 0 18 24 45 3.9
+11 0 1 0 0 18 24 46 4.2
+11 0 1 0 0 18 24 47 4.5
+11 0 1 0 0 18 24 48 4.8
+11 0 1 0 0 18 24 49 5.1
+11 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 4.5
+12 0 1 0 0 18 24 18 4.2
+12 0 1 0 0 18 24 19 3.9
+12 0 1 0 0 18 24 20 3.6
+12 0 1 0 0 18 24 21 3.3
+12 0 1 0 0 18 24 22 3
+12 0 1 0 0 18 24 23 2.7
+12 0 1 0 0 18 24 24 2.4
+12 0 1 0 0 18 24 25 2.1
+12 0 1 0 0 18 24 26 1.8
+12 0 1 0 0 18 24 27 1.5
+12 0 1 0 0 18 24 28 1.2
+12 0 1 0 0 18 24 29 0.9
+12 0 1 0 0 18 24 30 0.6
+12 0 1 0 0 18 24 31 0.3
+12 0 1 0 0 18 24 32 6.2803698347351e-16
+12 0 1 0 0 18 24 33 0.3
+12 0 1 0 0 18 24 34 0.6
+12 0 1 0 0 18 24 35 0.9
+12 0 1 0 0 18 24 36 1.2
+12 0 1 0 0 18 24 37 1.5
+12 0 1 0 0 18 24 38 1.8
+12 0 1 0 0 18 24 39 2.1
+12 0 1 0 0 18 24 40 2.4
+12 0 1 0 0 18 24 41 2.7
+12 0 1 0 0 18 24 42 3
+12 0 1 0 0 18 24 43 3.3
+12 0 1 0 0 18 24 44 3.6
+12 0 1 0 0 18 24 45 3.9
+12 0 1 0 0 18 24 46 4.2
+12 0 1 0 0 18 24 47 4.5
+12 0 1 0 0 18 24 48 4.8
+12 0 1 0 0 18 24 49 5.1
+12 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 9.6
+12 0 0 0 0 18 24 2 9
+12 0 0 0 0 18 24 4 8.4
+12 0 0 0 0 18 24 6 7.8
+12 0 0 0 0 18 24 8 7.2
+12 0 0 0 0 18 24 10 6.6
+12 0 0 0 0 18 24 12 6
+12 0 0 0 0 18 24 14 5.4
+12 0 0 0 0 18 24 16 4.8
+12 0 0 0 0 18 24 18 4.2
+12 0 0 0 0 18 24 20 3.6
+12 0 0 0 0 18 24 22 3
+12 0 0 0 0 18 24 24 2.4
+12 0 0 0 0 18 24 26 1.8
+12 0 0 0 0 18 24 28 1.2
+12 0 0 0 0 18 24 30 0.6
+12 0 0 0 0 18 24 32 6.2803698347351e-16
+12 0 0 0 0 18 24 34 0.6
+12 0 0 0 0 18 24 36 1.2
+12 0 0 0 0 18 24 38 1.8
+12 0 0 0 0 18 24 40 2.4
+12 0 0 0 0 18 24 42 3
+12 0 0 0 0 18 24 44 3.6
+12 0 0 0 0 18 24 46 4.2
+12 0 0 0 0 18 24 48 4.8
+12 0 0 0 0 18 24 50 5.4
+12 0 0 0 0 18 24 52 6
+12 0 0 0 0 18 24 54 6.6
+12 0 0 0 0 18 24 56 7.2
+12 0 0 0 0 18 24 58 7.8
+12 0 0 0 0 18 24 60 8.4
+12 0 0 0 0 18 24 62 9
+12 0 0 0 0 18 24 64 9.6
+12 0 0 0 0 18 24 66 10.2
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3.log b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3.log
new file mode 100644
index 000000000..814c6d112
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3.log
@@ -0,0 +1,162 @@
+--------------------------------------------------------------------------------
+
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+
+Cactus version: 4.0.b11
+Compile date: Nov 30 2001 (15:23:02)
+Run date: Dec 3 2001 (11:33:44)
+Run host: lilypond.tat.physik.uni-tuebingen.de
+Parameter file: /home/eschnett/Calpha/Cactus/arrangements/Carpet/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3.par
+--------------------------------------------------------------------------------
+
+Activating thorn Cactus...Success -> active implementation Cactus
+Activation requested for
+--->Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetSlab IDSpaceTimeToy SpaceTimeToy Hydrotoy<---
+Activating thorn Boundary...Success -> active implementation boundary
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Hydrotoy...Success -> active implementation hydrotoy
+Activating thorn IDSpaceTimeToy...Success -> active implementation idspacetimetoy
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn SpaceTimeToy...Success -> active implementation spacetimetoy
+Activating thorn Time...Success -> active implementation time
+--------------------------------------------------------------------------------
+ if (recover)
+ Recover parameters
+ endif
+
+ Startup routines
+ Carpet: Startup routine
+ IOUtil: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IDSpaceTimeToy: Register banner
+ IOBasic: Startup routine
+ CarpetIOASCII: Startup routine
+ SpaceTimeToy: Register banner
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ SpaceTimeToy: Schedule symmetries
+ Time: Initialise Time variables
+ Time: Set timestep based on Courant condition
+ IDSpaceTimeToy: Initial data for 3D wave equation
+ if (recover)
+ endif
+ if (checkpoint initial data)
+ endif
+ if (analysis)
+ endif
+
+ do loop over timesteps
+ Rotate timelevels
+ iteration = iteration + 1
+ t = t+dt
+ SpaceTimeToy: Initial Euler step
+ while (SpaceTimeToy::do_iterate)
+ SpaceTimeToy: One ICN step
+ end while
+ if (checkpoint)
+ endif
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+IDSpaceTimeToy: Initial data for two Scalar Fields
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+SpaceTimeToy: Evolutions of two Scalar Fields
+--------------------------------------------------------------------------------
+
+INFO (Carpet): Carpet is running on 1 processors
+INFO (IOBasic): I/O Method 'Scalar' registered
+INFO (IOBasic): Scalar: Output of scalar quantities (grid scalars, reductions) to ASCII files
+INFO (IOBasic): I/O Method 'Info' registered
+INFO (IOBasic): Info: Output of scalar quantities (grid scalars, reductions) to screen
+INFO (Cart3d): Cartesian coordinates:
+INFO (Cart3d): Whole grid: lower bound [-5.4, -7.2, -9.6]
+INFO (Cart3d): Whole grid: upper bound [5.4, 7.8, 10.2]
+INFO (Cart3d): Whole grid: extent [11.4, 15.6, 20.4]
+INFO (Cart3d): Interior: lower bound [-4.2, -6, -8.4]
+INFO (Cart3d): Interior: upper bound [4.2, 6.6, 9]
+INFO (Cart3d): Interior: extent [9, 13.2, 18]
+INFO (Cart3d): Grid spacing: [0.6, 0.6, 0.6]
+INFO (IOBasic): Scalar: Output every -1 iterations
+INFO (IOBasic): Info: Output every 1 iterations
+------------------
+ it | |
+ | t |
+------------------
+ 0 | 0.000 |
+ 0 | 0.000 |
+ 0 | 0.000 |
+ 1 | 0.075 |
+ 2 | 0.150 |
+ 2 | 0.150 |
+ 3 | 0.225 |
+ 4 | 0.300 |
+ 4 | 0.300 |
+ 4 | 0.300 |
+ 5 | 0.375 |
+ 6 | 0.450 |
+ 6 | 0.450 |
+ 7 | 0.525 |
+ 8 | 0.600 |
+ 8 | 0.600 |
+ 8 | 0.600 |
+ 9 | 0.675 |
+ 10 | 0.750 |
+ 10 | 0.750 |
+ 11 | 0.825 |
+ 12 | 0.900 |
+ 12 | 0.900 |
+ 12 | 0.900 |
+ 13 | 0.975 |
+ 14 | 1.050 |
+ 14 | 1.050 |
+ 15 | 1.125 |
+ 16 | 1.200 |
+ 16 | 1.200 |
+ 16 | 1.200 |
+ 17 | 1.275 |
+ 18 | 1.350 |
+ 18 | 1.350 |
+ 19 | 1.425 |
+ 20 | 1.500 |
+ 20 | 1.500 |
+ 20 | 1.500 |
+ 21 | 1.575 |
+ 22 | 1.650 |
+ 22 | 1.650 |
+ 23 | 1.725 |
+ 24 | 1.800 |
+ 24 | 1.800 |
+ 24 | 1.800 |
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3.par b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3.par
new file mode 100644
index 000000000..33e83282a
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3.par
@@ -0,0 +1,55 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3.par,v 1.5 2004/03/23 12:00:15 schnetter Exp $
+
+!DESC "WaveToy with periodic boundaries, 2 refinement levels"
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDSpaceTimeToy SpaceTimeToy Hydrotoy"
+
+Carpet::poison_new_timelevels = yes
+#Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 24
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "spacetimetoy_periodic_coarse_rl3"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "spacetimetoy::spacetimeevolve"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "spacetimetoy::spacetimeevolve"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "spacetimetoy::spacetimeevolve grid::coordinates"
+
+SpaceTimeToy::icn_iterations = 2
+SpaceTimeToy::bound = radiation
+
+HydroToy::hydrotoy_active = no
+
+IDSpaceTimeToy::initial_data = plane
+IDSpaceTimeToy::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDSpaceTimeToy::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDSpaceTimeToy::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_x.xl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_x.xl
new file mode 100644
index 000000000..35dd3bbb1
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_x.xl
@@ -0,0 +1,1082 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 -1.35
+0 0 2 0 0 28 48 64 -1.2
+0 0 2 0 0 29 48 64 -1.05
+0 0 2 0 0 30 48 64 -0.9
+0 0 2 0 0 31 48 64 -0.75
+0 0 2 0 0 32 48 64 -0.6
+0 0 2 0 0 33 48 64 -0.45
+0 0 2 0 0 34 48 64 -0.3
+0 0 2 0 0 35 48 64 -0.15
+0 0 2 0 0 36 48 64 4.44089209850063e-16
+0 0 2 0 0 37 48 64 0.15
+0 0 2 0 0 38 48 64 0.3
+0 0 2 0 0 39 48 64 0.450000000000001
+0 0 2 0 0 40 48 64 0.600000000000001
+0 0 2 0 0 41 48 64 0.750000000000001
+0 0 2 0 0 42 48 64 0.900000000000001
+0 0 2 0 0 43 48 64 1.05
+0 0 2 0 0 44 48 64 1.2
+0 0 2 0 0 45 48 64 1.35
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -2.7
+0 0 1 0 0 20 48 64 -2.4
+0 0 1 0 0 22 48 64 -2.1
+0 0 1 0 0 24 48 64 -1.8
+0 0 1 0 0 26 48 64 -1.5
+0 0 1 0 0 28 48 64 -1.2
+0 0 1 0 0 30 48 64 -0.9
+0 0 1 0 0 32 48 64 -0.6
+0 0 1 0 0 34 48 64 -0.3
+0 0 1 0 0 36 48 64 4.44089209850063e-16
+0 0 1 0 0 38 48 64 0.3
+0 0 1 0 0 40 48 64 0.600000000000001
+0 0 1 0 0 42 48 64 0.900000000000001
+0 0 1 0 0 44 48 64 1.2
+0 0 1 0 0 46 48 64 1.5
+0 0 1 0 0 48 48 64 1.8
+0 0 1 0 0 50 48 64 2.1
+0 0 1 0 0 52 48 64 2.4
+0 0 1 0 0 54 48 64 2.7
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -5.4
+0 0 0 0 0 4 48 64 -4.8
+0 0 0 0 0 8 48 64 -4.2
+0 0 0 0 0 12 48 64 -3.6
+0 0 0 0 0 16 48 64 -3
+0 0 0 0 0 20 48 64 -2.4
+0 0 0 0 0 24 48 64 -1.8
+0 0 0 0 0 28 48 64 -1.2
+0 0 0 0 0 32 48 64 -0.6
+0 0 0 0 0 36 48 64 4.44089209850063e-16
+0 0 0 0 0 40 48 64 0.600000000000001
+0 0 0 0 0 44 48 64 1.2
+0 0 0 0 0 48 48 64 1.8
+0 0 0 0 0 52 48 64 2.4
+0 0 0 0 0 56 48 64 3
+0 0 0 0 0 60 48 64 3.6
+0 0 0 0 0 64 48 64 4.2
+0 0 0 0 0 68 48 64 4.8
+0 0 0 0 0 72 48 64 5.4
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 -1.35
+1 0 2 0 0 28 48 64 -1.2
+1 0 2 0 0 29 48 64 -1.05
+1 0 2 0 0 30 48 64 -0.9
+1 0 2 0 0 31 48 64 -0.75
+1 0 2 0 0 32 48 64 -0.6
+1 0 2 0 0 33 48 64 -0.45
+1 0 2 0 0 34 48 64 -0.3
+1 0 2 0 0 35 48 64 -0.15
+1 0 2 0 0 36 48 64 4.44089209850063e-16
+1 0 2 0 0 37 48 64 0.15
+1 0 2 0 0 38 48 64 0.3
+1 0 2 0 0 39 48 64 0.450000000000001
+1 0 2 0 0 40 48 64 0.600000000000001
+1 0 2 0 0 41 48 64 0.750000000000001
+1 0 2 0 0 42 48 64 0.900000000000001
+1 0 2 0 0 43 48 64 1.05
+1 0 2 0 0 44 48 64 1.2
+1 0 2 0 0 45 48 64 1.35
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 -1.35
+2 0 2 0 0 28 48 64 -1.2
+2 0 2 0 0 29 48 64 -1.05
+2 0 2 0 0 30 48 64 -0.9
+2 0 2 0 0 31 48 64 -0.75
+2 0 2 0 0 32 48 64 -0.6
+2 0 2 0 0 33 48 64 -0.45
+2 0 2 0 0 34 48 64 -0.3
+2 0 2 0 0 35 48 64 -0.15
+2 0 2 0 0 36 48 64 4.44089209850063e-16
+2 0 2 0 0 37 48 64 0.15
+2 0 2 0 0 38 48 64 0.3
+2 0 2 0 0 39 48 64 0.450000000000001
+2 0 2 0 0 40 48 64 0.600000000000001
+2 0 2 0 0 41 48 64 0.750000000000001
+2 0 2 0 0 42 48 64 0.900000000000001
+2 0 2 0 0 43 48 64 1.05
+2 0 2 0 0 44 48 64 1.2
+2 0 2 0 0 45 48 64 1.35
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -2.7
+2 0 1 0 0 20 48 64 -2.4
+2 0 1 0 0 22 48 64 -2.1
+2 0 1 0 0 24 48 64 -1.8
+2 0 1 0 0 26 48 64 -1.5
+2 0 1 0 0 28 48 64 -1.2
+2 0 1 0 0 30 48 64 -0.9
+2 0 1 0 0 32 48 64 -0.6
+2 0 1 0 0 34 48 64 -0.3
+2 0 1 0 0 36 48 64 4.44089209850063e-16
+2 0 1 0 0 38 48 64 0.3
+2 0 1 0 0 40 48 64 0.600000000000001
+2 0 1 0 0 42 48 64 0.900000000000001
+2 0 1 0 0 44 48 64 1.2
+2 0 1 0 0 46 48 64 1.5
+2 0 1 0 0 48 48 64 1.8
+2 0 1 0 0 50 48 64 2.1
+2 0 1 0 0 52 48 64 2.4
+2 0 1 0 0 54 48 64 2.7
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 -1.35
+3 0 2 0 0 28 48 64 -1.2
+3 0 2 0 0 29 48 64 -1.05
+3 0 2 0 0 30 48 64 -0.9
+3 0 2 0 0 31 48 64 -0.75
+3 0 2 0 0 32 48 64 -0.6
+3 0 2 0 0 33 48 64 -0.45
+3 0 2 0 0 34 48 64 -0.3
+3 0 2 0 0 35 48 64 -0.15
+3 0 2 0 0 36 48 64 4.44089209850063e-16
+3 0 2 0 0 37 48 64 0.15
+3 0 2 0 0 38 48 64 0.3
+3 0 2 0 0 39 48 64 0.450000000000001
+3 0 2 0 0 40 48 64 0.600000000000001
+3 0 2 0 0 41 48 64 0.750000000000001
+3 0 2 0 0 42 48 64 0.900000000000001
+3 0 2 0 0 43 48 64 1.05
+3 0 2 0 0 44 48 64 1.2
+3 0 2 0 0 45 48 64 1.35
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 -1.35
+4 0 2 0 0 28 48 64 -1.2
+4 0 2 0 0 29 48 64 -1.05
+4 0 2 0 0 30 48 64 -0.9
+4 0 2 0 0 31 48 64 -0.75
+4 0 2 0 0 32 48 64 -0.6
+4 0 2 0 0 33 48 64 -0.45
+4 0 2 0 0 34 48 64 -0.3
+4 0 2 0 0 35 48 64 -0.15
+4 0 2 0 0 36 48 64 4.44089209850063e-16
+4 0 2 0 0 37 48 64 0.15
+4 0 2 0 0 38 48 64 0.3
+4 0 2 0 0 39 48 64 0.450000000000001
+4 0 2 0 0 40 48 64 0.600000000000001
+4 0 2 0 0 41 48 64 0.750000000000001
+4 0 2 0 0 42 48 64 0.900000000000001
+4 0 2 0 0 43 48 64 1.05
+4 0 2 0 0 44 48 64 1.2
+4 0 2 0 0 45 48 64 1.35
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 -2.7
+4 0 1 0 0 20 48 64 -2.4
+4 0 1 0 0 22 48 64 -2.1
+4 0 1 0 0 24 48 64 -1.8
+4 0 1 0 0 26 48 64 -1.5
+4 0 1 0 0 28 48 64 -1.2
+4 0 1 0 0 30 48 64 -0.9
+4 0 1 0 0 32 48 64 -0.6
+4 0 1 0 0 34 48 64 -0.3
+4 0 1 0 0 36 48 64 4.44089209850063e-16
+4 0 1 0 0 38 48 64 0.3
+4 0 1 0 0 40 48 64 0.600000000000001
+4 0 1 0 0 42 48 64 0.900000000000001
+4 0 1 0 0 44 48 64 1.2
+4 0 1 0 0 46 48 64 1.5
+4 0 1 0 0 48 48 64 1.8
+4 0 1 0 0 50 48 64 2.1
+4 0 1 0 0 52 48 64 2.4
+4 0 1 0 0 54 48 64 2.7
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -5.4
+4 0 0 0 0 4 48 64 -4.8
+4 0 0 0 0 8 48 64 -4.2
+4 0 0 0 0 12 48 64 -3.6
+4 0 0 0 0 16 48 64 -3
+4 0 0 0 0 20 48 64 -2.4
+4 0 0 0 0 24 48 64 -1.8
+4 0 0 0 0 28 48 64 -1.2
+4 0 0 0 0 32 48 64 -0.6
+4 0 0 0 0 36 48 64 4.44089209850063e-16
+4 0 0 0 0 40 48 64 0.600000000000001
+4 0 0 0 0 44 48 64 1.2
+4 0 0 0 0 48 48 64 1.8
+4 0 0 0 0 52 48 64 2.4
+4 0 0 0 0 56 48 64 3
+4 0 0 0 0 60 48 64 3.6
+4 0 0 0 0 64 48 64 4.2
+4 0 0 0 0 68 48 64 4.8
+4 0 0 0 0 72 48 64 5.4
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 -1.35
+5 0 2 0 0 28 48 64 -1.2
+5 0 2 0 0 29 48 64 -1.05
+5 0 2 0 0 30 48 64 -0.9
+5 0 2 0 0 31 48 64 -0.75
+5 0 2 0 0 32 48 64 -0.6
+5 0 2 0 0 33 48 64 -0.45
+5 0 2 0 0 34 48 64 -0.3
+5 0 2 0 0 35 48 64 -0.15
+5 0 2 0 0 36 48 64 4.44089209850063e-16
+5 0 2 0 0 37 48 64 0.15
+5 0 2 0 0 38 48 64 0.3
+5 0 2 0 0 39 48 64 0.450000000000001
+5 0 2 0 0 40 48 64 0.600000000000001
+5 0 2 0 0 41 48 64 0.750000000000001
+5 0 2 0 0 42 48 64 0.900000000000001
+5 0 2 0 0 43 48 64 1.05
+5 0 2 0 0 44 48 64 1.2
+5 0 2 0 0 45 48 64 1.35
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 -1.35
+6 0 2 0 0 28 48 64 -1.2
+6 0 2 0 0 29 48 64 -1.05
+6 0 2 0 0 30 48 64 -0.9
+6 0 2 0 0 31 48 64 -0.75
+6 0 2 0 0 32 48 64 -0.6
+6 0 2 0 0 33 48 64 -0.45
+6 0 2 0 0 34 48 64 -0.3
+6 0 2 0 0 35 48 64 -0.15
+6 0 2 0 0 36 48 64 4.44089209850063e-16
+6 0 2 0 0 37 48 64 0.15
+6 0 2 0 0 38 48 64 0.3
+6 0 2 0 0 39 48 64 0.450000000000001
+6 0 2 0 0 40 48 64 0.600000000000001
+6 0 2 0 0 41 48 64 0.750000000000001
+6 0 2 0 0 42 48 64 0.900000000000001
+6 0 2 0 0 43 48 64 1.05
+6 0 2 0 0 44 48 64 1.2
+6 0 2 0 0 45 48 64 1.35
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 -2.7
+6 0 1 0 0 20 48 64 -2.4
+6 0 1 0 0 22 48 64 -2.1
+6 0 1 0 0 24 48 64 -1.8
+6 0 1 0 0 26 48 64 -1.5
+6 0 1 0 0 28 48 64 -1.2
+6 0 1 0 0 30 48 64 -0.9
+6 0 1 0 0 32 48 64 -0.6
+6 0 1 0 0 34 48 64 -0.3
+6 0 1 0 0 36 48 64 4.44089209850063e-16
+6 0 1 0 0 38 48 64 0.3
+6 0 1 0 0 40 48 64 0.600000000000001
+6 0 1 0 0 42 48 64 0.900000000000001
+6 0 1 0 0 44 48 64 1.2
+6 0 1 0 0 46 48 64 1.5
+6 0 1 0 0 48 48 64 1.8
+6 0 1 0 0 50 48 64 2.1
+6 0 1 0 0 52 48 64 2.4
+6 0 1 0 0 54 48 64 2.7
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 -1.35
+7 0 2 0 0 28 48 64 -1.2
+7 0 2 0 0 29 48 64 -1.05
+7 0 2 0 0 30 48 64 -0.9
+7 0 2 0 0 31 48 64 -0.75
+7 0 2 0 0 32 48 64 -0.6
+7 0 2 0 0 33 48 64 -0.45
+7 0 2 0 0 34 48 64 -0.3
+7 0 2 0 0 35 48 64 -0.15
+7 0 2 0 0 36 48 64 4.44089209850063e-16
+7 0 2 0 0 37 48 64 0.15
+7 0 2 0 0 38 48 64 0.3
+7 0 2 0 0 39 48 64 0.450000000000001
+7 0 2 0 0 40 48 64 0.600000000000001
+7 0 2 0 0 41 48 64 0.750000000000001
+7 0 2 0 0 42 48 64 0.900000000000001
+7 0 2 0 0 43 48 64 1.05
+7 0 2 0 0 44 48 64 1.2
+7 0 2 0 0 45 48 64 1.35
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 -1.35
+8 0 2 0 0 28 48 64 -1.2
+8 0 2 0 0 29 48 64 -1.05
+8 0 2 0 0 30 48 64 -0.9
+8 0 2 0 0 31 48 64 -0.75
+8 0 2 0 0 32 48 64 -0.6
+8 0 2 0 0 33 48 64 -0.45
+8 0 2 0 0 34 48 64 -0.3
+8 0 2 0 0 35 48 64 -0.15
+8 0 2 0 0 36 48 64 4.44089209850063e-16
+8 0 2 0 0 37 48 64 0.15
+8 0 2 0 0 38 48 64 0.3
+8 0 2 0 0 39 48 64 0.450000000000001
+8 0 2 0 0 40 48 64 0.600000000000001
+8 0 2 0 0 41 48 64 0.750000000000001
+8 0 2 0 0 42 48 64 0.900000000000001
+8 0 2 0 0 43 48 64 1.05
+8 0 2 0 0 44 48 64 1.2
+8 0 2 0 0 45 48 64 1.35
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 -2.7
+8 0 1 0 0 20 48 64 -2.4
+8 0 1 0 0 22 48 64 -2.1
+8 0 1 0 0 24 48 64 -1.8
+8 0 1 0 0 26 48 64 -1.5
+8 0 1 0 0 28 48 64 -1.2
+8 0 1 0 0 30 48 64 -0.9
+8 0 1 0 0 32 48 64 -0.6
+8 0 1 0 0 34 48 64 -0.3
+8 0 1 0 0 36 48 64 4.44089209850063e-16
+8 0 1 0 0 38 48 64 0.3
+8 0 1 0 0 40 48 64 0.600000000000001
+8 0 1 0 0 42 48 64 0.900000000000001
+8 0 1 0 0 44 48 64 1.2
+8 0 1 0 0 46 48 64 1.5
+8 0 1 0 0 48 48 64 1.8
+8 0 1 0 0 50 48 64 2.1
+8 0 1 0 0 52 48 64 2.4
+8 0 1 0 0 54 48 64 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -5.4
+8 0 0 0 0 4 48 64 -4.8
+8 0 0 0 0 8 48 64 -4.2
+8 0 0 0 0 12 48 64 -3.6
+8 0 0 0 0 16 48 64 -3
+8 0 0 0 0 20 48 64 -2.4
+8 0 0 0 0 24 48 64 -1.8
+8 0 0 0 0 28 48 64 -1.2
+8 0 0 0 0 32 48 64 -0.6
+8 0 0 0 0 36 48 64 4.44089209850063e-16
+8 0 0 0 0 40 48 64 0.600000000000001
+8 0 0 0 0 44 48 64 1.2
+8 0 0 0 0 48 48 64 1.8
+8 0 0 0 0 52 48 64 2.4
+8 0 0 0 0 56 48 64 3
+8 0 0 0 0 60 48 64 3.6
+8 0 0 0 0 64 48 64 4.2
+8 0 0 0 0 68 48 64 4.8
+8 0 0 0 0 72 48 64 5.4
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 -1.35
+9 0 2 0 0 28 48 64 -1.2
+9 0 2 0 0 29 48 64 -1.05
+9 0 2 0 0 30 48 64 -0.9
+9 0 2 0 0 31 48 64 -0.75
+9 0 2 0 0 32 48 64 -0.6
+9 0 2 0 0 33 48 64 -0.45
+9 0 2 0 0 34 48 64 -0.3
+9 0 2 0 0 35 48 64 -0.15
+9 0 2 0 0 36 48 64 4.44089209850063e-16
+9 0 2 0 0 37 48 64 0.15
+9 0 2 0 0 38 48 64 0.3
+9 0 2 0 0 39 48 64 0.450000000000001
+9 0 2 0 0 40 48 64 0.600000000000001
+9 0 2 0 0 41 48 64 0.750000000000001
+9 0 2 0 0 42 48 64 0.900000000000001
+9 0 2 0 0 43 48 64 1.05
+9 0 2 0 0 44 48 64 1.2
+9 0 2 0 0 45 48 64 1.35
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 -1.35
+10 0 2 0 0 28 48 64 -1.2
+10 0 2 0 0 29 48 64 -1.05
+10 0 2 0 0 30 48 64 -0.9
+10 0 2 0 0 31 48 64 -0.75
+10 0 2 0 0 32 48 64 -0.6
+10 0 2 0 0 33 48 64 -0.45
+10 0 2 0 0 34 48 64 -0.3
+10 0 2 0 0 35 48 64 -0.15
+10 0 2 0 0 36 48 64 4.44089209850063e-16
+10 0 2 0 0 37 48 64 0.15
+10 0 2 0 0 38 48 64 0.3
+10 0 2 0 0 39 48 64 0.450000000000001
+10 0 2 0 0 40 48 64 0.600000000000001
+10 0 2 0 0 41 48 64 0.750000000000001
+10 0 2 0 0 42 48 64 0.900000000000001
+10 0 2 0 0 43 48 64 1.05
+10 0 2 0 0 44 48 64 1.2
+10 0 2 0 0 45 48 64 1.35
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 -2.7
+10 0 1 0 0 20 48 64 -2.4
+10 0 1 0 0 22 48 64 -2.1
+10 0 1 0 0 24 48 64 -1.8
+10 0 1 0 0 26 48 64 -1.5
+10 0 1 0 0 28 48 64 -1.2
+10 0 1 0 0 30 48 64 -0.9
+10 0 1 0 0 32 48 64 -0.6
+10 0 1 0 0 34 48 64 -0.3
+10 0 1 0 0 36 48 64 4.44089209850063e-16
+10 0 1 0 0 38 48 64 0.3
+10 0 1 0 0 40 48 64 0.600000000000001
+10 0 1 0 0 42 48 64 0.900000000000001
+10 0 1 0 0 44 48 64 1.2
+10 0 1 0 0 46 48 64 1.5
+10 0 1 0 0 48 48 64 1.8
+10 0 1 0 0 50 48 64 2.1
+10 0 1 0 0 52 48 64 2.4
+10 0 1 0 0 54 48 64 2.7
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 -1.35
+11 0 2 0 0 28 48 64 -1.2
+11 0 2 0 0 29 48 64 -1.05
+11 0 2 0 0 30 48 64 -0.9
+11 0 2 0 0 31 48 64 -0.75
+11 0 2 0 0 32 48 64 -0.6
+11 0 2 0 0 33 48 64 -0.45
+11 0 2 0 0 34 48 64 -0.3
+11 0 2 0 0 35 48 64 -0.15
+11 0 2 0 0 36 48 64 4.44089209850063e-16
+11 0 2 0 0 37 48 64 0.15
+11 0 2 0 0 38 48 64 0.3
+11 0 2 0 0 39 48 64 0.450000000000001
+11 0 2 0 0 40 48 64 0.600000000000001
+11 0 2 0 0 41 48 64 0.750000000000001
+11 0 2 0 0 42 48 64 0.900000000000001
+11 0 2 0 0 43 48 64 1.05
+11 0 2 0 0 44 48 64 1.2
+11 0 2 0 0 45 48 64 1.35
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 -1.35
+12 0 2 0 0 28 48 64 -1.2
+12 0 2 0 0 29 48 64 -1.05
+12 0 2 0 0 30 48 64 -0.9
+12 0 2 0 0 31 48 64 -0.75
+12 0 2 0 0 32 48 64 -0.6
+12 0 2 0 0 33 48 64 -0.45
+12 0 2 0 0 34 48 64 -0.3
+12 0 2 0 0 35 48 64 -0.15
+12 0 2 0 0 36 48 64 4.44089209850063e-16
+12 0 2 0 0 37 48 64 0.15
+12 0 2 0 0 38 48 64 0.3
+12 0 2 0 0 39 48 64 0.450000000000001
+12 0 2 0 0 40 48 64 0.600000000000001
+12 0 2 0 0 41 48 64 0.750000000000001
+12 0 2 0 0 42 48 64 0.900000000000001
+12 0 2 0 0 43 48 64 1.05
+12 0 2 0 0 44 48 64 1.2
+12 0 2 0 0 45 48 64 1.35
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 -2.7
+12 0 1 0 0 20 48 64 -2.4
+12 0 1 0 0 22 48 64 -2.1
+12 0 1 0 0 24 48 64 -1.8
+12 0 1 0 0 26 48 64 -1.5
+12 0 1 0 0 28 48 64 -1.2
+12 0 1 0 0 30 48 64 -0.9
+12 0 1 0 0 32 48 64 -0.6
+12 0 1 0 0 34 48 64 -0.3
+12 0 1 0 0 36 48 64 4.44089209850063e-16
+12 0 1 0 0 38 48 64 0.3
+12 0 1 0 0 40 48 64 0.600000000000001
+12 0 1 0 0 42 48 64 0.900000000000001
+12 0 1 0 0 44 48 64 1.2
+12 0 1 0 0 46 48 64 1.5
+12 0 1 0 0 48 48 64 1.8
+12 0 1 0 0 50 48 64 2.1
+12 0 1 0 0 52 48 64 2.4
+12 0 1 0 0 54 48 64 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -5.4
+12 0 0 0 0 4 48 64 -4.8
+12 0 0 0 0 8 48 64 -4.2
+12 0 0 0 0 12 48 64 -3.6
+12 0 0 0 0 16 48 64 -3
+12 0 0 0 0 20 48 64 -2.4
+12 0 0 0 0 24 48 64 -1.8
+12 0 0 0 0 28 48 64 -1.2
+12 0 0 0 0 32 48 64 -0.6
+12 0 0 0 0 36 48 64 4.44089209850063e-16
+12 0 0 0 0 40 48 64 0.600000000000001
+12 0 0 0 0 44 48 64 1.2
+12 0 0 0 0 48 48 64 1.8
+12 0 0 0 0 52 48 64 2.4
+12 0 0 0 0 56 48 64 3
+12 0 0 0 0 60 48 64 3.6
+12 0 0 0 0 64 48 64 4.2
+12 0 0 0 0 68 48 64 4.8
+12 0 0 0 0 72 48 64 5.4
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 -1.35
+13 0 2 0 0 28 48 64 -1.2
+13 0 2 0 0 29 48 64 -1.05
+13 0 2 0 0 30 48 64 -0.9
+13 0 2 0 0 31 48 64 -0.75
+13 0 2 0 0 32 48 64 -0.6
+13 0 2 0 0 33 48 64 -0.45
+13 0 2 0 0 34 48 64 -0.3
+13 0 2 0 0 35 48 64 -0.15
+13 0 2 0 0 36 48 64 4.44089209850063e-16
+13 0 2 0 0 37 48 64 0.15
+13 0 2 0 0 38 48 64 0.3
+13 0 2 0 0 39 48 64 0.450000000000001
+13 0 2 0 0 40 48 64 0.600000000000001
+13 0 2 0 0 41 48 64 0.750000000000001
+13 0 2 0 0 42 48 64 0.900000000000001
+13 0 2 0 0 43 48 64 1.05
+13 0 2 0 0 44 48 64 1.2
+13 0 2 0 0 45 48 64 1.35
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 -1.35
+14 0 2 0 0 28 48 64 -1.2
+14 0 2 0 0 29 48 64 -1.05
+14 0 2 0 0 30 48 64 -0.9
+14 0 2 0 0 31 48 64 -0.75
+14 0 2 0 0 32 48 64 -0.6
+14 0 2 0 0 33 48 64 -0.45
+14 0 2 0 0 34 48 64 -0.3
+14 0 2 0 0 35 48 64 -0.15
+14 0 2 0 0 36 48 64 4.44089209850063e-16
+14 0 2 0 0 37 48 64 0.15
+14 0 2 0 0 38 48 64 0.3
+14 0 2 0 0 39 48 64 0.450000000000001
+14 0 2 0 0 40 48 64 0.600000000000001
+14 0 2 0 0 41 48 64 0.750000000000001
+14 0 2 0 0 42 48 64 0.900000000000001
+14 0 2 0 0 43 48 64 1.05
+14 0 2 0 0 44 48 64 1.2
+14 0 2 0 0 45 48 64 1.35
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 -2.7
+14 0 1 0 0 20 48 64 -2.4
+14 0 1 0 0 22 48 64 -2.1
+14 0 1 0 0 24 48 64 -1.8
+14 0 1 0 0 26 48 64 -1.5
+14 0 1 0 0 28 48 64 -1.2
+14 0 1 0 0 30 48 64 -0.9
+14 0 1 0 0 32 48 64 -0.6
+14 0 1 0 0 34 48 64 -0.3
+14 0 1 0 0 36 48 64 4.44089209850063e-16
+14 0 1 0 0 38 48 64 0.3
+14 0 1 0 0 40 48 64 0.600000000000001
+14 0 1 0 0 42 48 64 0.900000000000001
+14 0 1 0 0 44 48 64 1.2
+14 0 1 0 0 46 48 64 1.5
+14 0 1 0 0 48 48 64 1.8
+14 0 1 0 0 50 48 64 2.1
+14 0 1 0 0 52 48 64 2.4
+14 0 1 0 0 54 48 64 2.7
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 -1.35
+15 0 2 0 0 28 48 64 -1.2
+15 0 2 0 0 29 48 64 -1.05
+15 0 2 0 0 30 48 64 -0.9
+15 0 2 0 0 31 48 64 -0.75
+15 0 2 0 0 32 48 64 -0.6
+15 0 2 0 0 33 48 64 -0.45
+15 0 2 0 0 34 48 64 -0.3
+15 0 2 0 0 35 48 64 -0.15
+15 0 2 0 0 36 48 64 4.44089209850063e-16
+15 0 2 0 0 37 48 64 0.15
+15 0 2 0 0 38 48 64 0.3
+15 0 2 0 0 39 48 64 0.450000000000001
+15 0 2 0 0 40 48 64 0.600000000000001
+15 0 2 0 0 41 48 64 0.750000000000001
+15 0 2 0 0 42 48 64 0.900000000000001
+15 0 2 0 0 43 48 64 1.05
+15 0 2 0 0 44 48 64 1.2
+15 0 2 0 0 45 48 64 1.35
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 -1.35
+16 0 2 0 0 28 48 64 -1.2
+16 0 2 0 0 29 48 64 -1.05
+16 0 2 0 0 30 48 64 -0.9
+16 0 2 0 0 31 48 64 -0.75
+16 0 2 0 0 32 48 64 -0.6
+16 0 2 0 0 33 48 64 -0.45
+16 0 2 0 0 34 48 64 -0.3
+16 0 2 0 0 35 48 64 -0.15
+16 0 2 0 0 36 48 64 4.44089209850063e-16
+16 0 2 0 0 37 48 64 0.15
+16 0 2 0 0 38 48 64 0.3
+16 0 2 0 0 39 48 64 0.450000000000001
+16 0 2 0 0 40 48 64 0.600000000000001
+16 0 2 0 0 41 48 64 0.750000000000001
+16 0 2 0 0 42 48 64 0.900000000000001
+16 0 2 0 0 43 48 64 1.05
+16 0 2 0 0 44 48 64 1.2
+16 0 2 0 0 45 48 64 1.35
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 -2.7
+16 0 1 0 0 20 48 64 -2.4
+16 0 1 0 0 22 48 64 -2.1
+16 0 1 0 0 24 48 64 -1.8
+16 0 1 0 0 26 48 64 -1.5
+16 0 1 0 0 28 48 64 -1.2
+16 0 1 0 0 30 48 64 -0.9
+16 0 1 0 0 32 48 64 -0.6
+16 0 1 0 0 34 48 64 -0.3
+16 0 1 0 0 36 48 64 4.44089209850063e-16
+16 0 1 0 0 38 48 64 0.3
+16 0 1 0 0 40 48 64 0.600000000000001
+16 0 1 0 0 42 48 64 0.900000000000001
+16 0 1 0 0 44 48 64 1.2
+16 0 1 0 0 46 48 64 1.5
+16 0 1 0 0 48 48 64 1.8
+16 0 1 0 0 50 48 64 2.1
+16 0 1 0 0 52 48 64 2.4
+16 0 1 0 0 54 48 64 2.7
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -5.4
+16 0 0 0 0 4 48 64 -4.8
+16 0 0 0 0 8 48 64 -4.2
+16 0 0 0 0 12 48 64 -3.6
+16 0 0 0 0 16 48 64 -3
+16 0 0 0 0 20 48 64 -2.4
+16 0 0 0 0 24 48 64 -1.8
+16 0 0 0 0 28 48 64 -1.2
+16 0 0 0 0 32 48 64 -0.6
+16 0 0 0 0 36 48 64 4.44089209850063e-16
+16 0 0 0 0 40 48 64 0.600000000000001
+16 0 0 0 0 44 48 64 1.2
+16 0 0 0 0 48 48 64 1.8
+16 0 0 0 0 52 48 64 2.4
+16 0 0 0 0 56 48 64 3
+16 0 0 0 0 60 48 64 3.6
+16 0 0 0 0 64 48 64 4.2
+16 0 0 0 0 68 48 64 4.8
+16 0 0 0 0 72 48 64 5.4
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 -1.35
+17 0 2 0 0 28 48 64 -1.2
+17 0 2 0 0 29 48 64 -1.05
+17 0 2 0 0 30 48 64 -0.9
+17 0 2 0 0 31 48 64 -0.75
+17 0 2 0 0 32 48 64 -0.6
+17 0 2 0 0 33 48 64 -0.45
+17 0 2 0 0 34 48 64 -0.3
+17 0 2 0 0 35 48 64 -0.15
+17 0 2 0 0 36 48 64 4.44089209850063e-16
+17 0 2 0 0 37 48 64 0.15
+17 0 2 0 0 38 48 64 0.3
+17 0 2 0 0 39 48 64 0.450000000000001
+17 0 2 0 0 40 48 64 0.600000000000001
+17 0 2 0 0 41 48 64 0.750000000000001
+17 0 2 0 0 42 48 64 0.900000000000001
+17 0 2 0 0 43 48 64 1.05
+17 0 2 0 0 44 48 64 1.2
+17 0 2 0 0 45 48 64 1.35
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 -1.35
+18 0 2 0 0 28 48 64 -1.2
+18 0 2 0 0 29 48 64 -1.05
+18 0 2 0 0 30 48 64 -0.9
+18 0 2 0 0 31 48 64 -0.75
+18 0 2 0 0 32 48 64 -0.6
+18 0 2 0 0 33 48 64 -0.45
+18 0 2 0 0 34 48 64 -0.3
+18 0 2 0 0 35 48 64 -0.15
+18 0 2 0 0 36 48 64 4.44089209850063e-16
+18 0 2 0 0 37 48 64 0.15
+18 0 2 0 0 38 48 64 0.3
+18 0 2 0 0 39 48 64 0.450000000000001
+18 0 2 0 0 40 48 64 0.600000000000001
+18 0 2 0 0 41 48 64 0.750000000000001
+18 0 2 0 0 42 48 64 0.900000000000001
+18 0 2 0 0 43 48 64 1.05
+18 0 2 0 0 44 48 64 1.2
+18 0 2 0 0 45 48 64 1.35
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 -2.7
+18 0 1 0 0 20 48 64 -2.4
+18 0 1 0 0 22 48 64 -2.1
+18 0 1 0 0 24 48 64 -1.8
+18 0 1 0 0 26 48 64 -1.5
+18 0 1 0 0 28 48 64 -1.2
+18 0 1 0 0 30 48 64 -0.9
+18 0 1 0 0 32 48 64 -0.6
+18 0 1 0 0 34 48 64 -0.3
+18 0 1 0 0 36 48 64 4.44089209850063e-16
+18 0 1 0 0 38 48 64 0.3
+18 0 1 0 0 40 48 64 0.600000000000001
+18 0 1 0 0 42 48 64 0.900000000000001
+18 0 1 0 0 44 48 64 1.2
+18 0 1 0 0 46 48 64 1.5
+18 0 1 0 0 48 48 64 1.8
+18 0 1 0 0 50 48 64 2.1
+18 0 1 0 0 52 48 64 2.4
+18 0 1 0 0 54 48 64 2.7
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 -1.35
+19 0 2 0 0 28 48 64 -1.2
+19 0 2 0 0 29 48 64 -1.05
+19 0 2 0 0 30 48 64 -0.9
+19 0 2 0 0 31 48 64 -0.75
+19 0 2 0 0 32 48 64 -0.6
+19 0 2 0 0 33 48 64 -0.45
+19 0 2 0 0 34 48 64 -0.3
+19 0 2 0 0 35 48 64 -0.15
+19 0 2 0 0 36 48 64 4.44089209850063e-16
+19 0 2 0 0 37 48 64 0.15
+19 0 2 0 0 38 48 64 0.3
+19 0 2 0 0 39 48 64 0.450000000000001
+19 0 2 0 0 40 48 64 0.600000000000001
+19 0 2 0 0 41 48 64 0.750000000000001
+19 0 2 0 0 42 48 64 0.900000000000001
+19 0 2 0 0 43 48 64 1.05
+19 0 2 0 0 44 48 64 1.2
+19 0 2 0 0 45 48 64 1.35
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 -1.35
+20 0 2 0 0 28 48 64 -1.2
+20 0 2 0 0 29 48 64 -1.05
+20 0 2 0 0 30 48 64 -0.9
+20 0 2 0 0 31 48 64 -0.75
+20 0 2 0 0 32 48 64 -0.6
+20 0 2 0 0 33 48 64 -0.45
+20 0 2 0 0 34 48 64 -0.3
+20 0 2 0 0 35 48 64 -0.15
+20 0 2 0 0 36 48 64 4.44089209850063e-16
+20 0 2 0 0 37 48 64 0.15
+20 0 2 0 0 38 48 64 0.3
+20 0 2 0 0 39 48 64 0.450000000000001
+20 0 2 0 0 40 48 64 0.600000000000001
+20 0 2 0 0 41 48 64 0.750000000000001
+20 0 2 0 0 42 48 64 0.900000000000001
+20 0 2 0 0 43 48 64 1.05
+20 0 2 0 0 44 48 64 1.2
+20 0 2 0 0 45 48 64 1.35
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 -2.7
+20 0 1 0 0 20 48 64 -2.4
+20 0 1 0 0 22 48 64 -2.1
+20 0 1 0 0 24 48 64 -1.8
+20 0 1 0 0 26 48 64 -1.5
+20 0 1 0 0 28 48 64 -1.2
+20 0 1 0 0 30 48 64 -0.9
+20 0 1 0 0 32 48 64 -0.6
+20 0 1 0 0 34 48 64 -0.3
+20 0 1 0 0 36 48 64 4.44089209850063e-16
+20 0 1 0 0 38 48 64 0.3
+20 0 1 0 0 40 48 64 0.600000000000001
+20 0 1 0 0 42 48 64 0.900000000000001
+20 0 1 0 0 44 48 64 1.2
+20 0 1 0 0 46 48 64 1.5
+20 0 1 0 0 48 48 64 1.8
+20 0 1 0 0 50 48 64 2.1
+20 0 1 0 0 52 48 64 2.4
+20 0 1 0 0 54 48 64 2.7
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -5.4
+20 0 0 0 0 4 48 64 -4.8
+20 0 0 0 0 8 48 64 -4.2
+20 0 0 0 0 12 48 64 -3.6
+20 0 0 0 0 16 48 64 -3
+20 0 0 0 0 20 48 64 -2.4
+20 0 0 0 0 24 48 64 -1.8
+20 0 0 0 0 28 48 64 -1.2
+20 0 0 0 0 32 48 64 -0.6
+20 0 0 0 0 36 48 64 4.44089209850063e-16
+20 0 0 0 0 40 48 64 0.600000000000001
+20 0 0 0 0 44 48 64 1.2
+20 0 0 0 0 48 48 64 1.8
+20 0 0 0 0 52 48 64 2.4
+20 0 0 0 0 56 48 64 3
+20 0 0 0 0 60 48 64 3.6
+20 0 0 0 0 64 48 64 4.2
+20 0 0 0 0 68 48 64 4.8
+20 0 0 0 0 72 48 64 5.4
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 -1.35
+21 0 2 0 0 28 48 64 -1.2
+21 0 2 0 0 29 48 64 -1.05
+21 0 2 0 0 30 48 64 -0.9
+21 0 2 0 0 31 48 64 -0.75
+21 0 2 0 0 32 48 64 -0.6
+21 0 2 0 0 33 48 64 -0.45
+21 0 2 0 0 34 48 64 -0.3
+21 0 2 0 0 35 48 64 -0.15
+21 0 2 0 0 36 48 64 4.44089209850063e-16
+21 0 2 0 0 37 48 64 0.15
+21 0 2 0 0 38 48 64 0.3
+21 0 2 0 0 39 48 64 0.450000000000001
+21 0 2 0 0 40 48 64 0.600000000000001
+21 0 2 0 0 41 48 64 0.750000000000001
+21 0 2 0 0 42 48 64 0.900000000000001
+21 0 2 0 0 43 48 64 1.05
+21 0 2 0 0 44 48 64 1.2
+21 0 2 0 0 45 48 64 1.35
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 -1.35
+22 0 2 0 0 28 48 64 -1.2
+22 0 2 0 0 29 48 64 -1.05
+22 0 2 0 0 30 48 64 -0.9
+22 0 2 0 0 31 48 64 -0.75
+22 0 2 0 0 32 48 64 -0.6
+22 0 2 0 0 33 48 64 -0.45
+22 0 2 0 0 34 48 64 -0.3
+22 0 2 0 0 35 48 64 -0.15
+22 0 2 0 0 36 48 64 4.44089209850063e-16
+22 0 2 0 0 37 48 64 0.15
+22 0 2 0 0 38 48 64 0.3
+22 0 2 0 0 39 48 64 0.450000000000001
+22 0 2 0 0 40 48 64 0.600000000000001
+22 0 2 0 0 41 48 64 0.750000000000001
+22 0 2 0 0 42 48 64 0.900000000000001
+22 0 2 0 0 43 48 64 1.05
+22 0 2 0 0 44 48 64 1.2
+22 0 2 0 0 45 48 64 1.35
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 -2.7
+22 0 1 0 0 20 48 64 -2.4
+22 0 1 0 0 22 48 64 -2.1
+22 0 1 0 0 24 48 64 -1.8
+22 0 1 0 0 26 48 64 -1.5
+22 0 1 0 0 28 48 64 -1.2
+22 0 1 0 0 30 48 64 -0.9
+22 0 1 0 0 32 48 64 -0.6
+22 0 1 0 0 34 48 64 -0.3
+22 0 1 0 0 36 48 64 4.44089209850063e-16
+22 0 1 0 0 38 48 64 0.3
+22 0 1 0 0 40 48 64 0.600000000000001
+22 0 1 0 0 42 48 64 0.900000000000001
+22 0 1 0 0 44 48 64 1.2
+22 0 1 0 0 46 48 64 1.5
+22 0 1 0 0 48 48 64 1.8
+22 0 1 0 0 50 48 64 2.1
+22 0 1 0 0 52 48 64 2.4
+22 0 1 0 0 54 48 64 2.7
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 -1.35
+23 0 2 0 0 28 48 64 -1.2
+23 0 2 0 0 29 48 64 -1.05
+23 0 2 0 0 30 48 64 -0.9
+23 0 2 0 0 31 48 64 -0.75
+23 0 2 0 0 32 48 64 -0.6
+23 0 2 0 0 33 48 64 -0.45
+23 0 2 0 0 34 48 64 -0.3
+23 0 2 0 0 35 48 64 -0.15
+23 0 2 0 0 36 48 64 4.44089209850063e-16
+23 0 2 0 0 37 48 64 0.15
+23 0 2 0 0 38 48 64 0.3
+23 0 2 0 0 39 48 64 0.450000000000001
+23 0 2 0 0 40 48 64 0.600000000000001
+23 0 2 0 0 41 48 64 0.750000000000001
+23 0 2 0 0 42 48 64 0.900000000000001
+23 0 2 0 0 43 48 64 1.05
+23 0 2 0 0 44 48 64 1.2
+23 0 2 0 0 45 48 64 1.35
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 -1.35
+24 0 2 0 0 28 48 64 -1.2
+24 0 2 0 0 29 48 64 -1.05
+24 0 2 0 0 30 48 64 -0.9
+24 0 2 0 0 31 48 64 -0.75
+24 0 2 0 0 32 48 64 -0.6
+24 0 2 0 0 33 48 64 -0.45
+24 0 2 0 0 34 48 64 -0.3
+24 0 2 0 0 35 48 64 -0.15
+24 0 2 0 0 36 48 64 4.44089209850063e-16
+24 0 2 0 0 37 48 64 0.15
+24 0 2 0 0 38 48 64 0.3
+24 0 2 0 0 39 48 64 0.450000000000001
+24 0 2 0 0 40 48 64 0.600000000000001
+24 0 2 0 0 41 48 64 0.750000000000001
+24 0 2 0 0 42 48 64 0.900000000000001
+24 0 2 0 0 43 48 64 1.05
+24 0 2 0 0 44 48 64 1.2
+24 0 2 0 0 45 48 64 1.35
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 -2.7
+24 0 1 0 0 20 48 64 -2.4
+24 0 1 0 0 22 48 64 -2.1
+24 0 1 0 0 24 48 64 -1.8
+24 0 1 0 0 26 48 64 -1.5
+24 0 1 0 0 28 48 64 -1.2
+24 0 1 0 0 30 48 64 -0.9
+24 0 1 0 0 32 48 64 -0.6
+24 0 1 0 0 34 48 64 -0.3
+24 0 1 0 0 36 48 64 4.44089209850063e-16
+24 0 1 0 0 38 48 64 0.3
+24 0 1 0 0 40 48 64 0.600000000000001
+24 0 1 0 0 42 48 64 0.900000000000001
+24 0 1 0 0 44 48 64 1.2
+24 0 1 0 0 46 48 64 1.5
+24 0 1 0 0 48 48 64 1.8
+24 0 1 0 0 50 48 64 2.1
+24 0 1 0 0 52 48 64 2.4
+24 0 1 0 0 54 48 64 2.7
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -5.4
+24 0 0 0 0 4 48 64 -4.8
+24 0 0 0 0 8 48 64 -4.2
+24 0 0 0 0 12 48 64 -3.6
+24 0 0 0 0 16 48 64 -3
+24 0 0 0 0 20 48 64 -2.4
+24 0 0 0 0 24 48 64 -1.8
+24 0 0 0 0 28 48 64 -1.2
+24 0 0 0 0 32 48 64 -0.6
+24 0 0 0 0 36 48 64 4.44089209850063e-16
+24 0 0 0 0 40 48 64 0.600000000000001
+24 0 0 0 0 44 48 64 1.2
+24 0 0 0 0 48 48 64 1.8
+24 0 0 0 0 52 48 64 2.4
+24 0 0 0 0 56 48 64 3
+24 0 0 0 0 60 48 64 3.6
+24 0 0 0 0 64 48 64 4.2
+24 0 0 0 0 68 48 64 4.8
+24 0 0 0 0 72 48 64 5.4
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_x.yl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_x.yl
new file mode 100644
index 000000000..a918a2185
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_x.yl
@@ -0,0 +1,1397 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 4.44089209850063e-16
+0 0 2 0 0 36 40 64 4.44089209850063e-16
+0 0 2 0 0 36 41 64 4.44089209850063e-16
+0 0 2 0 0 36 42 64 4.44089209850063e-16
+0 0 2 0 0 36 43 64 4.44089209850063e-16
+0 0 2 0 0 36 44 64 4.44089209850063e-16
+0 0 2 0 0 36 45 64 4.44089209850063e-16
+0 0 2 0 0 36 46 64 4.44089209850063e-16
+0 0 2 0 0 36 47 64 4.44089209850063e-16
+0 0 2 0 0 36 48 64 4.44089209850063e-16
+0 0 2 0 0 36 49 64 4.44089209850063e-16
+0 0 2 0 0 36 50 64 4.44089209850063e-16
+0 0 2 0 0 36 51 64 4.44089209850063e-16
+0 0 2 0 0 36 52 64 4.44089209850063e-16
+0 0 2 0 0 36 53 64 4.44089209850063e-16
+0 0 2 0 0 36 54 64 4.44089209850063e-16
+0 0 2 0 0 36 55 64 4.44089209850063e-16
+0 0 2 0 0 36 56 64 4.44089209850063e-16
+0 0 2 0 0 36 57 64 4.44089209850063e-16
+0 0 2 0 0 36 58 64 4.44089209850063e-16
+0 0 2 0 0 36 59 64 4.44089209850063e-16
+0 0 2 0 0 36 60 64 4.44089209850063e-16
+0 0 2 0 0 36 61 64 4.44089209850063e-16
+0 0 2 0 0 36 62 64 4.44089209850063e-16
+0 0 2 0 0 36 63 64 4.44089209850063e-16
+0 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 4.44089209850063e-16
+0 0 1 0 0 36 28 64 4.44089209850063e-16
+0 0 1 0 0 36 30 64 4.44089209850063e-16
+0 0 1 0 0 36 32 64 4.44089209850063e-16
+0 0 1 0 0 36 34 64 4.44089209850063e-16
+0 0 1 0 0 36 36 64 4.44089209850063e-16
+0 0 1 0 0 36 38 64 4.44089209850063e-16
+0 0 1 0 0 36 40 64 4.44089209850063e-16
+0 0 1 0 0 36 42 64 4.44089209850063e-16
+0 0 1 0 0 36 44 64 4.44089209850063e-16
+0 0 1 0 0 36 46 64 4.44089209850063e-16
+0 0 1 0 0 36 48 64 4.44089209850063e-16
+0 0 1 0 0 36 50 64 4.44089209850063e-16
+0 0 1 0 0 36 52 64 4.44089209850063e-16
+0 0 1 0 0 36 54 64 4.44089209850063e-16
+0 0 1 0 0 36 56 64 4.44089209850063e-16
+0 0 1 0 0 36 58 64 4.44089209850063e-16
+0 0 1 0 0 36 60 64 4.44089209850063e-16
+0 0 1 0 0 36 62 64 4.44089209850063e-16
+0 0 1 0 0 36 64 64 4.44089209850063e-16
+0 0 1 0 0 36 66 64 4.44089209850063e-16
+0 0 1 0 0 36 68 64 4.44089209850063e-16
+0 0 1 0 0 36 70 64 4.44089209850063e-16
+0 0 1 0 0 36 72 64 4.44089209850063e-16
+0 0 1 0 0 36 74 64 4.44089209850063e-16
+0 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 4.44089209850063e-16
+0 0 0 0 0 36 4 64 4.44089209850063e-16
+0 0 0 0 0 36 8 64 4.44089209850063e-16
+0 0 0 0 0 36 12 64 4.44089209850063e-16
+0 0 0 0 0 36 16 64 4.44089209850063e-16
+0 0 0 0 0 36 20 64 4.44089209850063e-16
+0 0 0 0 0 36 24 64 4.44089209850063e-16
+0 0 0 0 0 36 28 64 4.44089209850063e-16
+0 0 0 0 0 36 32 64 4.44089209850063e-16
+0 0 0 0 0 36 36 64 4.44089209850063e-16
+0 0 0 0 0 36 40 64 4.44089209850063e-16
+0 0 0 0 0 36 44 64 4.44089209850063e-16
+0 0 0 0 0 36 48 64 4.44089209850063e-16
+0 0 0 0 0 36 52 64 4.44089209850063e-16
+0 0 0 0 0 36 56 64 4.44089209850063e-16
+0 0 0 0 0 36 60 64 4.44089209850063e-16
+0 0 0 0 0 36 64 64 4.44089209850063e-16
+0 0 0 0 0 36 68 64 4.44089209850063e-16
+0 0 0 0 0 36 72 64 4.44089209850063e-16
+0 0 0 0 0 36 76 64 4.44089209850063e-16
+0 0 0 0 0 36 80 64 4.44089209850063e-16
+0 0 0 0 0 36 84 64 4.44089209850063e-16
+0 0 0 0 0 36 88 64 4.44089209850063e-16
+0 0 0 0 0 36 92 64 4.44089209850063e-16
+0 0 0 0 0 36 96 64 4.44089209850063e-16
+0 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 4.44089209850063e-16
+1 0 2 0 0 36 40 64 4.44089209850063e-16
+1 0 2 0 0 36 41 64 4.44089209850063e-16
+1 0 2 0 0 36 42 64 4.44089209850063e-16
+1 0 2 0 0 36 43 64 4.44089209850063e-16
+1 0 2 0 0 36 44 64 4.44089209850063e-16
+1 0 2 0 0 36 45 64 4.44089209850063e-16
+1 0 2 0 0 36 46 64 4.44089209850063e-16
+1 0 2 0 0 36 47 64 4.44089209850063e-16
+1 0 2 0 0 36 48 64 4.44089209850063e-16
+1 0 2 0 0 36 49 64 4.44089209850063e-16
+1 0 2 0 0 36 50 64 4.44089209850063e-16
+1 0 2 0 0 36 51 64 4.44089209850063e-16
+1 0 2 0 0 36 52 64 4.44089209850063e-16
+1 0 2 0 0 36 53 64 4.44089209850063e-16
+1 0 2 0 0 36 54 64 4.44089209850063e-16
+1 0 2 0 0 36 55 64 4.44089209850063e-16
+1 0 2 0 0 36 56 64 4.44089209850063e-16
+1 0 2 0 0 36 57 64 4.44089209850063e-16
+1 0 2 0 0 36 58 64 4.44089209850063e-16
+1 0 2 0 0 36 59 64 4.44089209850063e-16
+1 0 2 0 0 36 60 64 4.44089209850063e-16
+1 0 2 0 0 36 61 64 4.44089209850063e-16
+1 0 2 0 0 36 62 64 4.44089209850063e-16
+1 0 2 0 0 36 63 64 4.44089209850063e-16
+1 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 4.44089209850063e-16
+2 0 2 0 0 36 40 64 4.44089209850063e-16
+2 0 2 0 0 36 41 64 4.44089209850063e-16
+2 0 2 0 0 36 42 64 4.44089209850063e-16
+2 0 2 0 0 36 43 64 4.44089209850063e-16
+2 0 2 0 0 36 44 64 4.44089209850063e-16
+2 0 2 0 0 36 45 64 4.44089209850063e-16
+2 0 2 0 0 36 46 64 4.44089209850063e-16
+2 0 2 0 0 36 47 64 4.44089209850063e-16
+2 0 2 0 0 36 48 64 4.44089209850063e-16
+2 0 2 0 0 36 49 64 4.44089209850063e-16
+2 0 2 0 0 36 50 64 4.44089209850063e-16
+2 0 2 0 0 36 51 64 4.44089209850063e-16
+2 0 2 0 0 36 52 64 4.44089209850063e-16
+2 0 2 0 0 36 53 64 4.44089209850063e-16
+2 0 2 0 0 36 54 64 4.44089209850063e-16
+2 0 2 0 0 36 55 64 4.44089209850063e-16
+2 0 2 0 0 36 56 64 4.44089209850063e-16
+2 0 2 0 0 36 57 64 4.44089209850063e-16
+2 0 2 0 0 36 58 64 4.44089209850063e-16
+2 0 2 0 0 36 59 64 4.44089209850063e-16
+2 0 2 0 0 36 60 64 4.44089209850063e-16
+2 0 2 0 0 36 61 64 4.44089209850063e-16
+2 0 2 0 0 36 62 64 4.44089209850063e-16
+2 0 2 0 0 36 63 64 4.44089209850063e-16
+2 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 4.44089209850063e-16
+2 0 1 0 0 36 28 64 4.44089209850063e-16
+2 0 1 0 0 36 30 64 4.44089209850063e-16
+2 0 1 0 0 36 32 64 4.44089209850063e-16
+2 0 1 0 0 36 34 64 4.44089209850063e-16
+2 0 1 0 0 36 36 64 4.44089209850063e-16
+2 0 1 0 0 36 38 64 4.44089209850063e-16
+2 0 1 0 0 36 40 64 4.44089209850063e-16
+2 0 1 0 0 36 42 64 4.44089209850063e-16
+2 0 1 0 0 36 44 64 4.44089209850063e-16
+2 0 1 0 0 36 46 64 4.44089209850063e-16
+2 0 1 0 0 36 48 64 4.44089209850063e-16
+2 0 1 0 0 36 50 64 4.44089209850063e-16
+2 0 1 0 0 36 52 64 4.44089209850063e-16
+2 0 1 0 0 36 54 64 4.44089209850063e-16
+2 0 1 0 0 36 56 64 4.44089209850063e-16
+2 0 1 0 0 36 58 64 4.44089209850063e-16
+2 0 1 0 0 36 60 64 4.44089209850063e-16
+2 0 1 0 0 36 62 64 4.44089209850063e-16
+2 0 1 0 0 36 64 64 4.44089209850063e-16
+2 0 1 0 0 36 66 64 4.44089209850063e-16
+2 0 1 0 0 36 68 64 4.44089209850063e-16
+2 0 1 0 0 36 70 64 4.44089209850063e-16
+2 0 1 0 0 36 72 64 4.44089209850063e-16
+2 0 1 0 0 36 74 64 4.44089209850063e-16
+2 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 4.44089209850063e-16
+3 0 2 0 0 36 40 64 4.44089209850063e-16
+3 0 2 0 0 36 41 64 4.44089209850063e-16
+3 0 2 0 0 36 42 64 4.44089209850063e-16
+3 0 2 0 0 36 43 64 4.44089209850063e-16
+3 0 2 0 0 36 44 64 4.44089209850063e-16
+3 0 2 0 0 36 45 64 4.44089209850063e-16
+3 0 2 0 0 36 46 64 4.44089209850063e-16
+3 0 2 0 0 36 47 64 4.44089209850063e-16
+3 0 2 0 0 36 48 64 4.44089209850063e-16
+3 0 2 0 0 36 49 64 4.44089209850063e-16
+3 0 2 0 0 36 50 64 4.44089209850063e-16
+3 0 2 0 0 36 51 64 4.44089209850063e-16
+3 0 2 0 0 36 52 64 4.44089209850063e-16
+3 0 2 0 0 36 53 64 4.44089209850063e-16
+3 0 2 0 0 36 54 64 4.44089209850063e-16
+3 0 2 0 0 36 55 64 4.44089209850063e-16
+3 0 2 0 0 36 56 64 4.44089209850063e-16
+3 0 2 0 0 36 57 64 4.44089209850063e-16
+3 0 2 0 0 36 58 64 4.44089209850063e-16
+3 0 2 0 0 36 59 64 4.44089209850063e-16
+3 0 2 0 0 36 60 64 4.44089209850063e-16
+3 0 2 0 0 36 61 64 4.44089209850063e-16
+3 0 2 0 0 36 62 64 4.44089209850063e-16
+3 0 2 0 0 36 63 64 4.44089209850063e-16
+3 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 4.44089209850063e-16
+4 0 2 0 0 36 40 64 4.44089209850063e-16
+4 0 2 0 0 36 41 64 4.44089209850063e-16
+4 0 2 0 0 36 42 64 4.44089209850063e-16
+4 0 2 0 0 36 43 64 4.44089209850063e-16
+4 0 2 0 0 36 44 64 4.44089209850063e-16
+4 0 2 0 0 36 45 64 4.44089209850063e-16
+4 0 2 0 0 36 46 64 4.44089209850063e-16
+4 0 2 0 0 36 47 64 4.44089209850063e-16
+4 0 2 0 0 36 48 64 4.44089209850063e-16
+4 0 2 0 0 36 49 64 4.44089209850063e-16
+4 0 2 0 0 36 50 64 4.44089209850063e-16
+4 0 2 0 0 36 51 64 4.44089209850063e-16
+4 0 2 0 0 36 52 64 4.44089209850063e-16
+4 0 2 0 0 36 53 64 4.44089209850063e-16
+4 0 2 0 0 36 54 64 4.44089209850063e-16
+4 0 2 0 0 36 55 64 4.44089209850063e-16
+4 0 2 0 0 36 56 64 4.44089209850063e-16
+4 0 2 0 0 36 57 64 4.44089209850063e-16
+4 0 2 0 0 36 58 64 4.44089209850063e-16
+4 0 2 0 0 36 59 64 4.44089209850063e-16
+4 0 2 0 0 36 60 64 4.44089209850063e-16
+4 0 2 0 0 36 61 64 4.44089209850063e-16
+4 0 2 0 0 36 62 64 4.44089209850063e-16
+4 0 2 0 0 36 63 64 4.44089209850063e-16
+4 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 4.44089209850063e-16
+4 0 1 0 0 36 28 64 4.44089209850063e-16
+4 0 1 0 0 36 30 64 4.44089209850063e-16
+4 0 1 0 0 36 32 64 4.44089209850063e-16
+4 0 1 0 0 36 34 64 4.44089209850063e-16
+4 0 1 0 0 36 36 64 4.44089209850063e-16
+4 0 1 0 0 36 38 64 4.44089209850063e-16
+4 0 1 0 0 36 40 64 4.44089209850063e-16
+4 0 1 0 0 36 42 64 4.44089209850063e-16
+4 0 1 0 0 36 44 64 4.44089209850063e-16
+4 0 1 0 0 36 46 64 4.44089209850063e-16
+4 0 1 0 0 36 48 64 4.44089209850063e-16
+4 0 1 0 0 36 50 64 4.44089209850063e-16
+4 0 1 0 0 36 52 64 4.44089209850063e-16
+4 0 1 0 0 36 54 64 4.44089209850063e-16
+4 0 1 0 0 36 56 64 4.44089209850063e-16
+4 0 1 0 0 36 58 64 4.44089209850063e-16
+4 0 1 0 0 36 60 64 4.44089209850063e-16
+4 0 1 0 0 36 62 64 4.44089209850063e-16
+4 0 1 0 0 36 64 64 4.44089209850063e-16
+4 0 1 0 0 36 66 64 4.44089209850063e-16
+4 0 1 0 0 36 68 64 4.44089209850063e-16
+4 0 1 0 0 36 70 64 4.44089209850063e-16
+4 0 1 0 0 36 72 64 4.44089209850063e-16
+4 0 1 0 0 36 74 64 4.44089209850063e-16
+4 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 4.44089209850063e-16
+4 0 0 0 0 36 4 64 4.44089209850063e-16
+4 0 0 0 0 36 8 64 4.44089209850063e-16
+4 0 0 0 0 36 12 64 4.44089209850063e-16
+4 0 0 0 0 36 16 64 4.44089209850063e-16
+4 0 0 0 0 36 20 64 4.44089209850063e-16
+4 0 0 0 0 36 24 64 4.44089209850063e-16
+4 0 0 0 0 36 28 64 4.44089209850063e-16
+4 0 0 0 0 36 32 64 4.44089209850063e-16
+4 0 0 0 0 36 36 64 4.44089209850063e-16
+4 0 0 0 0 36 40 64 4.44089209850063e-16
+4 0 0 0 0 36 44 64 4.44089209850063e-16
+4 0 0 0 0 36 48 64 4.44089209850063e-16
+4 0 0 0 0 36 52 64 4.44089209850063e-16
+4 0 0 0 0 36 56 64 4.44089209850063e-16
+4 0 0 0 0 36 60 64 4.44089209850063e-16
+4 0 0 0 0 36 64 64 4.44089209850063e-16
+4 0 0 0 0 36 68 64 4.44089209850063e-16
+4 0 0 0 0 36 72 64 4.44089209850063e-16
+4 0 0 0 0 36 76 64 4.44089209850063e-16
+4 0 0 0 0 36 80 64 4.44089209850063e-16
+4 0 0 0 0 36 84 64 4.44089209850063e-16
+4 0 0 0 0 36 88 64 4.44089209850063e-16
+4 0 0 0 0 36 92 64 4.44089209850063e-16
+4 0 0 0 0 36 96 64 4.44089209850063e-16
+4 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 4.44089209850063e-16
+5 0 2 0 0 36 40 64 4.44089209850063e-16
+5 0 2 0 0 36 41 64 4.44089209850063e-16
+5 0 2 0 0 36 42 64 4.44089209850063e-16
+5 0 2 0 0 36 43 64 4.44089209850063e-16
+5 0 2 0 0 36 44 64 4.44089209850063e-16
+5 0 2 0 0 36 45 64 4.44089209850063e-16
+5 0 2 0 0 36 46 64 4.44089209850063e-16
+5 0 2 0 0 36 47 64 4.44089209850063e-16
+5 0 2 0 0 36 48 64 4.44089209850063e-16
+5 0 2 0 0 36 49 64 4.44089209850063e-16
+5 0 2 0 0 36 50 64 4.44089209850063e-16
+5 0 2 0 0 36 51 64 4.44089209850063e-16
+5 0 2 0 0 36 52 64 4.44089209850063e-16
+5 0 2 0 0 36 53 64 4.44089209850063e-16
+5 0 2 0 0 36 54 64 4.44089209850063e-16
+5 0 2 0 0 36 55 64 4.44089209850063e-16
+5 0 2 0 0 36 56 64 4.44089209850063e-16
+5 0 2 0 0 36 57 64 4.44089209850063e-16
+5 0 2 0 0 36 58 64 4.44089209850063e-16
+5 0 2 0 0 36 59 64 4.44089209850063e-16
+5 0 2 0 0 36 60 64 4.44089209850063e-16
+5 0 2 0 0 36 61 64 4.44089209850063e-16
+5 0 2 0 0 36 62 64 4.44089209850063e-16
+5 0 2 0 0 36 63 64 4.44089209850063e-16
+5 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 4.44089209850063e-16
+6 0 2 0 0 36 40 64 4.44089209850063e-16
+6 0 2 0 0 36 41 64 4.44089209850063e-16
+6 0 2 0 0 36 42 64 4.44089209850063e-16
+6 0 2 0 0 36 43 64 4.44089209850063e-16
+6 0 2 0 0 36 44 64 4.44089209850063e-16
+6 0 2 0 0 36 45 64 4.44089209850063e-16
+6 0 2 0 0 36 46 64 4.44089209850063e-16
+6 0 2 0 0 36 47 64 4.44089209850063e-16
+6 0 2 0 0 36 48 64 4.44089209850063e-16
+6 0 2 0 0 36 49 64 4.44089209850063e-16
+6 0 2 0 0 36 50 64 4.44089209850063e-16
+6 0 2 0 0 36 51 64 4.44089209850063e-16
+6 0 2 0 0 36 52 64 4.44089209850063e-16
+6 0 2 0 0 36 53 64 4.44089209850063e-16
+6 0 2 0 0 36 54 64 4.44089209850063e-16
+6 0 2 0 0 36 55 64 4.44089209850063e-16
+6 0 2 0 0 36 56 64 4.44089209850063e-16
+6 0 2 0 0 36 57 64 4.44089209850063e-16
+6 0 2 0 0 36 58 64 4.44089209850063e-16
+6 0 2 0 0 36 59 64 4.44089209850063e-16
+6 0 2 0 0 36 60 64 4.44089209850063e-16
+6 0 2 0 0 36 61 64 4.44089209850063e-16
+6 0 2 0 0 36 62 64 4.44089209850063e-16
+6 0 2 0 0 36 63 64 4.44089209850063e-16
+6 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 4.44089209850063e-16
+6 0 1 0 0 36 28 64 4.44089209850063e-16
+6 0 1 0 0 36 30 64 4.44089209850063e-16
+6 0 1 0 0 36 32 64 4.44089209850063e-16
+6 0 1 0 0 36 34 64 4.44089209850063e-16
+6 0 1 0 0 36 36 64 4.44089209850063e-16
+6 0 1 0 0 36 38 64 4.44089209850063e-16
+6 0 1 0 0 36 40 64 4.44089209850063e-16
+6 0 1 0 0 36 42 64 4.44089209850063e-16
+6 0 1 0 0 36 44 64 4.44089209850063e-16
+6 0 1 0 0 36 46 64 4.44089209850063e-16
+6 0 1 0 0 36 48 64 4.44089209850063e-16
+6 0 1 0 0 36 50 64 4.44089209850063e-16
+6 0 1 0 0 36 52 64 4.44089209850063e-16
+6 0 1 0 0 36 54 64 4.44089209850063e-16
+6 0 1 0 0 36 56 64 4.44089209850063e-16
+6 0 1 0 0 36 58 64 4.44089209850063e-16
+6 0 1 0 0 36 60 64 4.44089209850063e-16
+6 0 1 0 0 36 62 64 4.44089209850063e-16
+6 0 1 0 0 36 64 64 4.44089209850063e-16
+6 0 1 0 0 36 66 64 4.44089209850063e-16
+6 0 1 0 0 36 68 64 4.44089209850063e-16
+6 0 1 0 0 36 70 64 4.44089209850063e-16
+6 0 1 0 0 36 72 64 4.44089209850063e-16
+6 0 1 0 0 36 74 64 4.44089209850063e-16
+6 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 4.44089209850063e-16
+7 0 2 0 0 36 40 64 4.44089209850063e-16
+7 0 2 0 0 36 41 64 4.44089209850063e-16
+7 0 2 0 0 36 42 64 4.44089209850063e-16
+7 0 2 0 0 36 43 64 4.44089209850063e-16
+7 0 2 0 0 36 44 64 4.44089209850063e-16
+7 0 2 0 0 36 45 64 4.44089209850063e-16
+7 0 2 0 0 36 46 64 4.44089209850063e-16
+7 0 2 0 0 36 47 64 4.44089209850063e-16
+7 0 2 0 0 36 48 64 4.44089209850063e-16
+7 0 2 0 0 36 49 64 4.44089209850063e-16
+7 0 2 0 0 36 50 64 4.44089209850063e-16
+7 0 2 0 0 36 51 64 4.44089209850063e-16
+7 0 2 0 0 36 52 64 4.44089209850063e-16
+7 0 2 0 0 36 53 64 4.44089209850063e-16
+7 0 2 0 0 36 54 64 4.44089209850063e-16
+7 0 2 0 0 36 55 64 4.44089209850063e-16
+7 0 2 0 0 36 56 64 4.44089209850063e-16
+7 0 2 0 0 36 57 64 4.44089209850063e-16
+7 0 2 0 0 36 58 64 4.44089209850063e-16
+7 0 2 0 0 36 59 64 4.44089209850063e-16
+7 0 2 0 0 36 60 64 4.44089209850063e-16
+7 0 2 0 0 36 61 64 4.44089209850063e-16
+7 0 2 0 0 36 62 64 4.44089209850063e-16
+7 0 2 0 0 36 63 64 4.44089209850063e-16
+7 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 4.44089209850063e-16
+8 0 2 0 0 36 40 64 4.44089209850063e-16
+8 0 2 0 0 36 41 64 4.44089209850063e-16
+8 0 2 0 0 36 42 64 4.44089209850063e-16
+8 0 2 0 0 36 43 64 4.44089209850063e-16
+8 0 2 0 0 36 44 64 4.44089209850063e-16
+8 0 2 0 0 36 45 64 4.44089209850063e-16
+8 0 2 0 0 36 46 64 4.44089209850063e-16
+8 0 2 0 0 36 47 64 4.44089209850063e-16
+8 0 2 0 0 36 48 64 4.44089209850063e-16
+8 0 2 0 0 36 49 64 4.44089209850063e-16
+8 0 2 0 0 36 50 64 4.44089209850063e-16
+8 0 2 0 0 36 51 64 4.44089209850063e-16
+8 0 2 0 0 36 52 64 4.44089209850063e-16
+8 0 2 0 0 36 53 64 4.44089209850063e-16
+8 0 2 0 0 36 54 64 4.44089209850063e-16
+8 0 2 0 0 36 55 64 4.44089209850063e-16
+8 0 2 0 0 36 56 64 4.44089209850063e-16
+8 0 2 0 0 36 57 64 4.44089209850063e-16
+8 0 2 0 0 36 58 64 4.44089209850063e-16
+8 0 2 0 0 36 59 64 4.44089209850063e-16
+8 0 2 0 0 36 60 64 4.44089209850063e-16
+8 0 2 0 0 36 61 64 4.44089209850063e-16
+8 0 2 0 0 36 62 64 4.44089209850063e-16
+8 0 2 0 0 36 63 64 4.44089209850063e-16
+8 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 4.44089209850063e-16
+8 0 1 0 0 36 28 64 4.44089209850063e-16
+8 0 1 0 0 36 30 64 4.44089209850063e-16
+8 0 1 0 0 36 32 64 4.44089209850063e-16
+8 0 1 0 0 36 34 64 4.44089209850063e-16
+8 0 1 0 0 36 36 64 4.44089209850063e-16
+8 0 1 0 0 36 38 64 4.44089209850063e-16
+8 0 1 0 0 36 40 64 4.44089209850063e-16
+8 0 1 0 0 36 42 64 4.44089209850063e-16
+8 0 1 0 0 36 44 64 4.44089209850063e-16
+8 0 1 0 0 36 46 64 4.44089209850063e-16
+8 0 1 0 0 36 48 64 4.44089209850063e-16
+8 0 1 0 0 36 50 64 4.44089209850063e-16
+8 0 1 0 0 36 52 64 4.44089209850063e-16
+8 0 1 0 0 36 54 64 4.44089209850063e-16
+8 0 1 0 0 36 56 64 4.44089209850063e-16
+8 0 1 0 0 36 58 64 4.44089209850063e-16
+8 0 1 0 0 36 60 64 4.44089209850063e-16
+8 0 1 0 0 36 62 64 4.44089209850063e-16
+8 0 1 0 0 36 64 64 4.44089209850063e-16
+8 0 1 0 0 36 66 64 4.44089209850063e-16
+8 0 1 0 0 36 68 64 4.44089209850063e-16
+8 0 1 0 0 36 70 64 4.44089209850063e-16
+8 0 1 0 0 36 72 64 4.44089209850063e-16
+8 0 1 0 0 36 74 64 4.44089209850063e-16
+8 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 4.44089209850063e-16
+8 0 0 0 0 36 4 64 4.44089209850063e-16
+8 0 0 0 0 36 8 64 4.44089209850063e-16
+8 0 0 0 0 36 12 64 4.44089209850063e-16
+8 0 0 0 0 36 16 64 4.44089209850063e-16
+8 0 0 0 0 36 20 64 4.44089209850063e-16
+8 0 0 0 0 36 24 64 4.44089209850063e-16
+8 0 0 0 0 36 28 64 4.44089209850063e-16
+8 0 0 0 0 36 32 64 4.44089209850063e-16
+8 0 0 0 0 36 36 64 4.44089209850063e-16
+8 0 0 0 0 36 40 64 4.44089209850063e-16
+8 0 0 0 0 36 44 64 4.44089209850063e-16
+8 0 0 0 0 36 48 64 4.44089209850063e-16
+8 0 0 0 0 36 52 64 4.44089209850063e-16
+8 0 0 0 0 36 56 64 4.44089209850063e-16
+8 0 0 0 0 36 60 64 4.44089209850063e-16
+8 0 0 0 0 36 64 64 4.44089209850063e-16
+8 0 0 0 0 36 68 64 4.44089209850063e-16
+8 0 0 0 0 36 72 64 4.44089209850063e-16
+8 0 0 0 0 36 76 64 4.44089209850063e-16
+8 0 0 0 0 36 80 64 4.44089209850063e-16
+8 0 0 0 0 36 84 64 4.44089209850063e-16
+8 0 0 0 0 36 88 64 4.44089209850063e-16
+8 0 0 0 0 36 92 64 4.44089209850063e-16
+8 0 0 0 0 36 96 64 4.44089209850063e-16
+8 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 4.44089209850063e-16
+9 0 2 0 0 36 40 64 4.44089209850063e-16
+9 0 2 0 0 36 41 64 4.44089209850063e-16
+9 0 2 0 0 36 42 64 4.44089209850063e-16
+9 0 2 0 0 36 43 64 4.44089209850063e-16
+9 0 2 0 0 36 44 64 4.44089209850063e-16
+9 0 2 0 0 36 45 64 4.44089209850063e-16
+9 0 2 0 0 36 46 64 4.44089209850063e-16
+9 0 2 0 0 36 47 64 4.44089209850063e-16
+9 0 2 0 0 36 48 64 4.44089209850063e-16
+9 0 2 0 0 36 49 64 4.44089209850063e-16
+9 0 2 0 0 36 50 64 4.44089209850063e-16
+9 0 2 0 0 36 51 64 4.44089209850063e-16
+9 0 2 0 0 36 52 64 4.44089209850063e-16
+9 0 2 0 0 36 53 64 4.44089209850063e-16
+9 0 2 0 0 36 54 64 4.44089209850063e-16
+9 0 2 0 0 36 55 64 4.44089209850063e-16
+9 0 2 0 0 36 56 64 4.44089209850063e-16
+9 0 2 0 0 36 57 64 4.44089209850063e-16
+9 0 2 0 0 36 58 64 4.44089209850063e-16
+9 0 2 0 0 36 59 64 4.44089209850063e-16
+9 0 2 0 0 36 60 64 4.44089209850063e-16
+9 0 2 0 0 36 61 64 4.44089209850063e-16
+9 0 2 0 0 36 62 64 4.44089209850063e-16
+9 0 2 0 0 36 63 64 4.44089209850063e-16
+9 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 4.44089209850063e-16
+10 0 2 0 0 36 40 64 4.44089209850063e-16
+10 0 2 0 0 36 41 64 4.44089209850063e-16
+10 0 2 0 0 36 42 64 4.44089209850063e-16
+10 0 2 0 0 36 43 64 4.44089209850063e-16
+10 0 2 0 0 36 44 64 4.44089209850063e-16
+10 0 2 0 0 36 45 64 4.44089209850063e-16
+10 0 2 0 0 36 46 64 4.44089209850063e-16
+10 0 2 0 0 36 47 64 4.44089209850063e-16
+10 0 2 0 0 36 48 64 4.44089209850063e-16
+10 0 2 0 0 36 49 64 4.44089209850063e-16
+10 0 2 0 0 36 50 64 4.44089209850063e-16
+10 0 2 0 0 36 51 64 4.44089209850063e-16
+10 0 2 0 0 36 52 64 4.44089209850063e-16
+10 0 2 0 0 36 53 64 4.44089209850063e-16
+10 0 2 0 0 36 54 64 4.44089209850063e-16
+10 0 2 0 0 36 55 64 4.44089209850063e-16
+10 0 2 0 0 36 56 64 4.44089209850063e-16
+10 0 2 0 0 36 57 64 4.44089209850063e-16
+10 0 2 0 0 36 58 64 4.44089209850063e-16
+10 0 2 0 0 36 59 64 4.44089209850063e-16
+10 0 2 0 0 36 60 64 4.44089209850063e-16
+10 0 2 0 0 36 61 64 4.44089209850063e-16
+10 0 2 0 0 36 62 64 4.44089209850063e-16
+10 0 2 0 0 36 63 64 4.44089209850063e-16
+10 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 4.44089209850063e-16
+10 0 1 0 0 36 28 64 4.44089209850063e-16
+10 0 1 0 0 36 30 64 4.44089209850063e-16
+10 0 1 0 0 36 32 64 4.44089209850063e-16
+10 0 1 0 0 36 34 64 4.44089209850063e-16
+10 0 1 0 0 36 36 64 4.44089209850063e-16
+10 0 1 0 0 36 38 64 4.44089209850063e-16
+10 0 1 0 0 36 40 64 4.44089209850063e-16
+10 0 1 0 0 36 42 64 4.44089209850063e-16
+10 0 1 0 0 36 44 64 4.44089209850063e-16
+10 0 1 0 0 36 46 64 4.44089209850063e-16
+10 0 1 0 0 36 48 64 4.44089209850063e-16
+10 0 1 0 0 36 50 64 4.44089209850063e-16
+10 0 1 0 0 36 52 64 4.44089209850063e-16
+10 0 1 0 0 36 54 64 4.44089209850063e-16
+10 0 1 0 0 36 56 64 4.44089209850063e-16
+10 0 1 0 0 36 58 64 4.44089209850063e-16
+10 0 1 0 0 36 60 64 4.44089209850063e-16
+10 0 1 0 0 36 62 64 4.44089209850063e-16
+10 0 1 0 0 36 64 64 4.44089209850063e-16
+10 0 1 0 0 36 66 64 4.44089209850063e-16
+10 0 1 0 0 36 68 64 4.44089209850063e-16
+10 0 1 0 0 36 70 64 4.44089209850063e-16
+10 0 1 0 0 36 72 64 4.44089209850063e-16
+10 0 1 0 0 36 74 64 4.44089209850063e-16
+10 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 4.44089209850063e-16
+11 0 2 0 0 36 40 64 4.44089209850063e-16
+11 0 2 0 0 36 41 64 4.44089209850063e-16
+11 0 2 0 0 36 42 64 4.44089209850063e-16
+11 0 2 0 0 36 43 64 4.44089209850063e-16
+11 0 2 0 0 36 44 64 4.44089209850063e-16
+11 0 2 0 0 36 45 64 4.44089209850063e-16
+11 0 2 0 0 36 46 64 4.44089209850063e-16
+11 0 2 0 0 36 47 64 4.44089209850063e-16
+11 0 2 0 0 36 48 64 4.44089209850063e-16
+11 0 2 0 0 36 49 64 4.44089209850063e-16
+11 0 2 0 0 36 50 64 4.44089209850063e-16
+11 0 2 0 0 36 51 64 4.44089209850063e-16
+11 0 2 0 0 36 52 64 4.44089209850063e-16
+11 0 2 0 0 36 53 64 4.44089209850063e-16
+11 0 2 0 0 36 54 64 4.44089209850063e-16
+11 0 2 0 0 36 55 64 4.44089209850063e-16
+11 0 2 0 0 36 56 64 4.44089209850063e-16
+11 0 2 0 0 36 57 64 4.44089209850063e-16
+11 0 2 0 0 36 58 64 4.44089209850063e-16
+11 0 2 0 0 36 59 64 4.44089209850063e-16
+11 0 2 0 0 36 60 64 4.44089209850063e-16
+11 0 2 0 0 36 61 64 4.44089209850063e-16
+11 0 2 0 0 36 62 64 4.44089209850063e-16
+11 0 2 0 0 36 63 64 4.44089209850063e-16
+11 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 4.44089209850063e-16
+12 0 2 0 0 36 40 64 4.44089209850063e-16
+12 0 2 0 0 36 41 64 4.44089209850063e-16
+12 0 2 0 0 36 42 64 4.44089209850063e-16
+12 0 2 0 0 36 43 64 4.44089209850063e-16
+12 0 2 0 0 36 44 64 4.44089209850063e-16
+12 0 2 0 0 36 45 64 4.44089209850063e-16
+12 0 2 0 0 36 46 64 4.44089209850063e-16
+12 0 2 0 0 36 47 64 4.44089209850063e-16
+12 0 2 0 0 36 48 64 4.44089209850063e-16
+12 0 2 0 0 36 49 64 4.44089209850063e-16
+12 0 2 0 0 36 50 64 4.44089209850063e-16
+12 0 2 0 0 36 51 64 4.44089209850063e-16
+12 0 2 0 0 36 52 64 4.44089209850063e-16
+12 0 2 0 0 36 53 64 4.44089209850063e-16
+12 0 2 0 0 36 54 64 4.44089209850063e-16
+12 0 2 0 0 36 55 64 4.44089209850063e-16
+12 0 2 0 0 36 56 64 4.44089209850063e-16
+12 0 2 0 0 36 57 64 4.44089209850063e-16
+12 0 2 0 0 36 58 64 4.44089209850063e-16
+12 0 2 0 0 36 59 64 4.44089209850063e-16
+12 0 2 0 0 36 60 64 4.44089209850063e-16
+12 0 2 0 0 36 61 64 4.44089209850063e-16
+12 0 2 0 0 36 62 64 4.44089209850063e-16
+12 0 2 0 0 36 63 64 4.44089209850063e-16
+12 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 4.44089209850063e-16
+12 0 1 0 0 36 28 64 4.44089209850063e-16
+12 0 1 0 0 36 30 64 4.44089209850063e-16
+12 0 1 0 0 36 32 64 4.44089209850063e-16
+12 0 1 0 0 36 34 64 4.44089209850063e-16
+12 0 1 0 0 36 36 64 4.44089209850063e-16
+12 0 1 0 0 36 38 64 4.44089209850063e-16
+12 0 1 0 0 36 40 64 4.44089209850063e-16
+12 0 1 0 0 36 42 64 4.44089209850063e-16
+12 0 1 0 0 36 44 64 4.44089209850063e-16
+12 0 1 0 0 36 46 64 4.44089209850063e-16
+12 0 1 0 0 36 48 64 4.44089209850063e-16
+12 0 1 0 0 36 50 64 4.44089209850063e-16
+12 0 1 0 0 36 52 64 4.44089209850063e-16
+12 0 1 0 0 36 54 64 4.44089209850063e-16
+12 0 1 0 0 36 56 64 4.44089209850063e-16
+12 0 1 0 0 36 58 64 4.44089209850063e-16
+12 0 1 0 0 36 60 64 4.44089209850063e-16
+12 0 1 0 0 36 62 64 4.44089209850063e-16
+12 0 1 0 0 36 64 64 4.44089209850063e-16
+12 0 1 0 0 36 66 64 4.44089209850063e-16
+12 0 1 0 0 36 68 64 4.44089209850063e-16
+12 0 1 0 0 36 70 64 4.44089209850063e-16
+12 0 1 0 0 36 72 64 4.44089209850063e-16
+12 0 1 0 0 36 74 64 4.44089209850063e-16
+12 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 4.44089209850063e-16
+12 0 0 0 0 36 4 64 4.44089209850063e-16
+12 0 0 0 0 36 8 64 4.44089209850063e-16
+12 0 0 0 0 36 12 64 4.44089209850063e-16
+12 0 0 0 0 36 16 64 4.44089209850063e-16
+12 0 0 0 0 36 20 64 4.44089209850063e-16
+12 0 0 0 0 36 24 64 4.44089209850063e-16
+12 0 0 0 0 36 28 64 4.44089209850063e-16
+12 0 0 0 0 36 32 64 4.44089209850063e-16
+12 0 0 0 0 36 36 64 4.44089209850063e-16
+12 0 0 0 0 36 40 64 4.44089209850063e-16
+12 0 0 0 0 36 44 64 4.44089209850063e-16
+12 0 0 0 0 36 48 64 4.44089209850063e-16
+12 0 0 0 0 36 52 64 4.44089209850063e-16
+12 0 0 0 0 36 56 64 4.44089209850063e-16
+12 0 0 0 0 36 60 64 4.44089209850063e-16
+12 0 0 0 0 36 64 64 4.44089209850063e-16
+12 0 0 0 0 36 68 64 4.44089209850063e-16
+12 0 0 0 0 36 72 64 4.44089209850063e-16
+12 0 0 0 0 36 76 64 4.44089209850063e-16
+12 0 0 0 0 36 80 64 4.44089209850063e-16
+12 0 0 0 0 36 84 64 4.44089209850063e-16
+12 0 0 0 0 36 88 64 4.44089209850063e-16
+12 0 0 0 0 36 92 64 4.44089209850063e-16
+12 0 0 0 0 36 96 64 4.44089209850063e-16
+12 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 4.44089209850063e-16
+13 0 2 0 0 36 40 64 4.44089209850063e-16
+13 0 2 0 0 36 41 64 4.44089209850063e-16
+13 0 2 0 0 36 42 64 4.44089209850063e-16
+13 0 2 0 0 36 43 64 4.44089209850063e-16
+13 0 2 0 0 36 44 64 4.44089209850063e-16
+13 0 2 0 0 36 45 64 4.44089209850063e-16
+13 0 2 0 0 36 46 64 4.44089209850063e-16
+13 0 2 0 0 36 47 64 4.44089209850063e-16
+13 0 2 0 0 36 48 64 4.44089209850063e-16
+13 0 2 0 0 36 49 64 4.44089209850063e-16
+13 0 2 0 0 36 50 64 4.44089209850063e-16
+13 0 2 0 0 36 51 64 4.44089209850063e-16
+13 0 2 0 0 36 52 64 4.44089209850063e-16
+13 0 2 0 0 36 53 64 4.44089209850063e-16
+13 0 2 0 0 36 54 64 4.44089209850063e-16
+13 0 2 0 0 36 55 64 4.44089209850063e-16
+13 0 2 0 0 36 56 64 4.44089209850063e-16
+13 0 2 0 0 36 57 64 4.44089209850063e-16
+13 0 2 0 0 36 58 64 4.44089209850063e-16
+13 0 2 0 0 36 59 64 4.44089209850063e-16
+13 0 2 0 0 36 60 64 4.44089209850063e-16
+13 0 2 0 0 36 61 64 4.44089209850063e-16
+13 0 2 0 0 36 62 64 4.44089209850063e-16
+13 0 2 0 0 36 63 64 4.44089209850063e-16
+13 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 4.44089209850063e-16
+14 0 2 0 0 36 40 64 4.44089209850063e-16
+14 0 2 0 0 36 41 64 4.44089209850063e-16
+14 0 2 0 0 36 42 64 4.44089209850063e-16
+14 0 2 0 0 36 43 64 4.44089209850063e-16
+14 0 2 0 0 36 44 64 4.44089209850063e-16
+14 0 2 0 0 36 45 64 4.44089209850063e-16
+14 0 2 0 0 36 46 64 4.44089209850063e-16
+14 0 2 0 0 36 47 64 4.44089209850063e-16
+14 0 2 0 0 36 48 64 4.44089209850063e-16
+14 0 2 0 0 36 49 64 4.44089209850063e-16
+14 0 2 0 0 36 50 64 4.44089209850063e-16
+14 0 2 0 0 36 51 64 4.44089209850063e-16
+14 0 2 0 0 36 52 64 4.44089209850063e-16
+14 0 2 0 0 36 53 64 4.44089209850063e-16
+14 0 2 0 0 36 54 64 4.44089209850063e-16
+14 0 2 0 0 36 55 64 4.44089209850063e-16
+14 0 2 0 0 36 56 64 4.44089209850063e-16
+14 0 2 0 0 36 57 64 4.44089209850063e-16
+14 0 2 0 0 36 58 64 4.44089209850063e-16
+14 0 2 0 0 36 59 64 4.44089209850063e-16
+14 0 2 0 0 36 60 64 4.44089209850063e-16
+14 0 2 0 0 36 61 64 4.44089209850063e-16
+14 0 2 0 0 36 62 64 4.44089209850063e-16
+14 0 2 0 0 36 63 64 4.44089209850063e-16
+14 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 4.44089209850063e-16
+14 0 1 0 0 36 28 64 4.44089209850063e-16
+14 0 1 0 0 36 30 64 4.44089209850063e-16
+14 0 1 0 0 36 32 64 4.44089209850063e-16
+14 0 1 0 0 36 34 64 4.44089209850063e-16
+14 0 1 0 0 36 36 64 4.44089209850063e-16
+14 0 1 0 0 36 38 64 4.44089209850063e-16
+14 0 1 0 0 36 40 64 4.44089209850063e-16
+14 0 1 0 0 36 42 64 4.44089209850063e-16
+14 0 1 0 0 36 44 64 4.44089209850063e-16
+14 0 1 0 0 36 46 64 4.44089209850063e-16
+14 0 1 0 0 36 48 64 4.44089209850063e-16
+14 0 1 0 0 36 50 64 4.44089209850063e-16
+14 0 1 0 0 36 52 64 4.44089209850063e-16
+14 0 1 0 0 36 54 64 4.44089209850063e-16
+14 0 1 0 0 36 56 64 4.44089209850063e-16
+14 0 1 0 0 36 58 64 4.44089209850063e-16
+14 0 1 0 0 36 60 64 4.44089209850063e-16
+14 0 1 0 0 36 62 64 4.44089209850063e-16
+14 0 1 0 0 36 64 64 4.44089209850063e-16
+14 0 1 0 0 36 66 64 4.44089209850063e-16
+14 0 1 0 0 36 68 64 4.44089209850063e-16
+14 0 1 0 0 36 70 64 4.44089209850063e-16
+14 0 1 0 0 36 72 64 4.44089209850063e-16
+14 0 1 0 0 36 74 64 4.44089209850063e-16
+14 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 4.44089209850063e-16
+15 0 2 0 0 36 40 64 4.44089209850063e-16
+15 0 2 0 0 36 41 64 4.44089209850063e-16
+15 0 2 0 0 36 42 64 4.44089209850063e-16
+15 0 2 0 0 36 43 64 4.44089209850063e-16
+15 0 2 0 0 36 44 64 4.44089209850063e-16
+15 0 2 0 0 36 45 64 4.44089209850063e-16
+15 0 2 0 0 36 46 64 4.44089209850063e-16
+15 0 2 0 0 36 47 64 4.44089209850063e-16
+15 0 2 0 0 36 48 64 4.44089209850063e-16
+15 0 2 0 0 36 49 64 4.44089209850063e-16
+15 0 2 0 0 36 50 64 4.44089209850063e-16
+15 0 2 0 0 36 51 64 4.44089209850063e-16
+15 0 2 0 0 36 52 64 4.44089209850063e-16
+15 0 2 0 0 36 53 64 4.44089209850063e-16
+15 0 2 0 0 36 54 64 4.44089209850063e-16
+15 0 2 0 0 36 55 64 4.44089209850063e-16
+15 0 2 0 0 36 56 64 4.44089209850063e-16
+15 0 2 0 0 36 57 64 4.44089209850063e-16
+15 0 2 0 0 36 58 64 4.44089209850063e-16
+15 0 2 0 0 36 59 64 4.44089209850063e-16
+15 0 2 0 0 36 60 64 4.44089209850063e-16
+15 0 2 0 0 36 61 64 4.44089209850063e-16
+15 0 2 0 0 36 62 64 4.44089209850063e-16
+15 0 2 0 0 36 63 64 4.44089209850063e-16
+15 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 4.44089209850063e-16
+16 0 2 0 0 36 40 64 4.44089209850063e-16
+16 0 2 0 0 36 41 64 4.44089209850063e-16
+16 0 2 0 0 36 42 64 4.44089209850063e-16
+16 0 2 0 0 36 43 64 4.44089209850063e-16
+16 0 2 0 0 36 44 64 4.44089209850063e-16
+16 0 2 0 0 36 45 64 4.44089209850063e-16
+16 0 2 0 0 36 46 64 4.44089209850063e-16
+16 0 2 0 0 36 47 64 4.44089209850063e-16
+16 0 2 0 0 36 48 64 4.44089209850063e-16
+16 0 2 0 0 36 49 64 4.44089209850063e-16
+16 0 2 0 0 36 50 64 4.44089209850063e-16
+16 0 2 0 0 36 51 64 4.44089209850063e-16
+16 0 2 0 0 36 52 64 4.44089209850063e-16
+16 0 2 0 0 36 53 64 4.44089209850063e-16
+16 0 2 0 0 36 54 64 4.44089209850063e-16
+16 0 2 0 0 36 55 64 4.44089209850063e-16
+16 0 2 0 0 36 56 64 4.44089209850063e-16
+16 0 2 0 0 36 57 64 4.44089209850063e-16
+16 0 2 0 0 36 58 64 4.44089209850063e-16
+16 0 2 0 0 36 59 64 4.44089209850063e-16
+16 0 2 0 0 36 60 64 4.44089209850063e-16
+16 0 2 0 0 36 61 64 4.44089209850063e-16
+16 0 2 0 0 36 62 64 4.44089209850063e-16
+16 0 2 0 0 36 63 64 4.44089209850063e-16
+16 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 4.44089209850063e-16
+16 0 1 0 0 36 28 64 4.44089209850063e-16
+16 0 1 0 0 36 30 64 4.44089209850063e-16
+16 0 1 0 0 36 32 64 4.44089209850063e-16
+16 0 1 0 0 36 34 64 4.44089209850063e-16
+16 0 1 0 0 36 36 64 4.44089209850063e-16
+16 0 1 0 0 36 38 64 4.44089209850063e-16
+16 0 1 0 0 36 40 64 4.44089209850063e-16
+16 0 1 0 0 36 42 64 4.44089209850063e-16
+16 0 1 0 0 36 44 64 4.44089209850063e-16
+16 0 1 0 0 36 46 64 4.44089209850063e-16
+16 0 1 0 0 36 48 64 4.44089209850063e-16
+16 0 1 0 0 36 50 64 4.44089209850063e-16
+16 0 1 0 0 36 52 64 4.44089209850063e-16
+16 0 1 0 0 36 54 64 4.44089209850063e-16
+16 0 1 0 0 36 56 64 4.44089209850063e-16
+16 0 1 0 0 36 58 64 4.44089209850063e-16
+16 0 1 0 0 36 60 64 4.44089209850063e-16
+16 0 1 0 0 36 62 64 4.44089209850063e-16
+16 0 1 0 0 36 64 64 4.44089209850063e-16
+16 0 1 0 0 36 66 64 4.44089209850063e-16
+16 0 1 0 0 36 68 64 4.44089209850063e-16
+16 0 1 0 0 36 70 64 4.44089209850063e-16
+16 0 1 0 0 36 72 64 4.44089209850063e-16
+16 0 1 0 0 36 74 64 4.44089209850063e-16
+16 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 4.44089209850063e-16
+16 0 0 0 0 36 4 64 4.44089209850063e-16
+16 0 0 0 0 36 8 64 4.44089209850063e-16
+16 0 0 0 0 36 12 64 4.44089209850063e-16
+16 0 0 0 0 36 16 64 4.44089209850063e-16
+16 0 0 0 0 36 20 64 4.44089209850063e-16
+16 0 0 0 0 36 24 64 4.44089209850063e-16
+16 0 0 0 0 36 28 64 4.44089209850063e-16
+16 0 0 0 0 36 32 64 4.44089209850063e-16
+16 0 0 0 0 36 36 64 4.44089209850063e-16
+16 0 0 0 0 36 40 64 4.44089209850063e-16
+16 0 0 0 0 36 44 64 4.44089209850063e-16
+16 0 0 0 0 36 48 64 4.44089209850063e-16
+16 0 0 0 0 36 52 64 4.44089209850063e-16
+16 0 0 0 0 36 56 64 4.44089209850063e-16
+16 0 0 0 0 36 60 64 4.44089209850063e-16
+16 0 0 0 0 36 64 64 4.44089209850063e-16
+16 0 0 0 0 36 68 64 4.44089209850063e-16
+16 0 0 0 0 36 72 64 4.44089209850063e-16
+16 0 0 0 0 36 76 64 4.44089209850063e-16
+16 0 0 0 0 36 80 64 4.44089209850063e-16
+16 0 0 0 0 36 84 64 4.44089209850063e-16
+16 0 0 0 0 36 88 64 4.44089209850063e-16
+16 0 0 0 0 36 92 64 4.44089209850063e-16
+16 0 0 0 0 36 96 64 4.44089209850063e-16
+16 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 4.44089209850063e-16
+17 0 2 0 0 36 40 64 4.44089209850063e-16
+17 0 2 0 0 36 41 64 4.44089209850063e-16
+17 0 2 0 0 36 42 64 4.44089209850063e-16
+17 0 2 0 0 36 43 64 4.44089209850063e-16
+17 0 2 0 0 36 44 64 4.44089209850063e-16
+17 0 2 0 0 36 45 64 4.44089209850063e-16
+17 0 2 0 0 36 46 64 4.44089209850063e-16
+17 0 2 0 0 36 47 64 4.44089209850063e-16
+17 0 2 0 0 36 48 64 4.44089209850063e-16
+17 0 2 0 0 36 49 64 4.44089209850063e-16
+17 0 2 0 0 36 50 64 4.44089209850063e-16
+17 0 2 0 0 36 51 64 4.44089209850063e-16
+17 0 2 0 0 36 52 64 4.44089209850063e-16
+17 0 2 0 0 36 53 64 4.44089209850063e-16
+17 0 2 0 0 36 54 64 4.44089209850063e-16
+17 0 2 0 0 36 55 64 4.44089209850063e-16
+17 0 2 0 0 36 56 64 4.44089209850063e-16
+17 0 2 0 0 36 57 64 4.44089209850063e-16
+17 0 2 0 0 36 58 64 4.44089209850063e-16
+17 0 2 0 0 36 59 64 4.44089209850063e-16
+17 0 2 0 0 36 60 64 4.44089209850063e-16
+17 0 2 0 0 36 61 64 4.44089209850063e-16
+17 0 2 0 0 36 62 64 4.44089209850063e-16
+17 0 2 0 0 36 63 64 4.44089209850063e-16
+17 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 4.44089209850063e-16
+18 0 2 0 0 36 40 64 4.44089209850063e-16
+18 0 2 0 0 36 41 64 4.44089209850063e-16
+18 0 2 0 0 36 42 64 4.44089209850063e-16
+18 0 2 0 0 36 43 64 4.44089209850063e-16
+18 0 2 0 0 36 44 64 4.44089209850063e-16
+18 0 2 0 0 36 45 64 4.44089209850063e-16
+18 0 2 0 0 36 46 64 4.44089209850063e-16
+18 0 2 0 0 36 47 64 4.44089209850063e-16
+18 0 2 0 0 36 48 64 4.44089209850063e-16
+18 0 2 0 0 36 49 64 4.44089209850063e-16
+18 0 2 0 0 36 50 64 4.44089209850063e-16
+18 0 2 0 0 36 51 64 4.44089209850063e-16
+18 0 2 0 0 36 52 64 4.44089209850063e-16
+18 0 2 0 0 36 53 64 4.44089209850063e-16
+18 0 2 0 0 36 54 64 4.44089209850063e-16
+18 0 2 0 0 36 55 64 4.44089209850063e-16
+18 0 2 0 0 36 56 64 4.44089209850063e-16
+18 0 2 0 0 36 57 64 4.44089209850063e-16
+18 0 2 0 0 36 58 64 4.44089209850063e-16
+18 0 2 0 0 36 59 64 4.44089209850063e-16
+18 0 2 0 0 36 60 64 4.44089209850063e-16
+18 0 2 0 0 36 61 64 4.44089209850063e-16
+18 0 2 0 0 36 62 64 4.44089209850063e-16
+18 0 2 0 0 36 63 64 4.44089209850063e-16
+18 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 4.44089209850063e-16
+18 0 1 0 0 36 28 64 4.44089209850063e-16
+18 0 1 0 0 36 30 64 4.44089209850063e-16
+18 0 1 0 0 36 32 64 4.44089209850063e-16
+18 0 1 0 0 36 34 64 4.44089209850063e-16
+18 0 1 0 0 36 36 64 4.44089209850063e-16
+18 0 1 0 0 36 38 64 4.44089209850063e-16
+18 0 1 0 0 36 40 64 4.44089209850063e-16
+18 0 1 0 0 36 42 64 4.44089209850063e-16
+18 0 1 0 0 36 44 64 4.44089209850063e-16
+18 0 1 0 0 36 46 64 4.44089209850063e-16
+18 0 1 0 0 36 48 64 4.44089209850063e-16
+18 0 1 0 0 36 50 64 4.44089209850063e-16
+18 0 1 0 0 36 52 64 4.44089209850063e-16
+18 0 1 0 0 36 54 64 4.44089209850063e-16
+18 0 1 0 0 36 56 64 4.44089209850063e-16
+18 0 1 0 0 36 58 64 4.44089209850063e-16
+18 0 1 0 0 36 60 64 4.44089209850063e-16
+18 0 1 0 0 36 62 64 4.44089209850063e-16
+18 0 1 0 0 36 64 64 4.44089209850063e-16
+18 0 1 0 0 36 66 64 4.44089209850063e-16
+18 0 1 0 0 36 68 64 4.44089209850063e-16
+18 0 1 0 0 36 70 64 4.44089209850063e-16
+18 0 1 0 0 36 72 64 4.44089209850063e-16
+18 0 1 0 0 36 74 64 4.44089209850063e-16
+18 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 4.44089209850063e-16
+19 0 2 0 0 36 40 64 4.44089209850063e-16
+19 0 2 0 0 36 41 64 4.44089209850063e-16
+19 0 2 0 0 36 42 64 4.44089209850063e-16
+19 0 2 0 0 36 43 64 4.44089209850063e-16
+19 0 2 0 0 36 44 64 4.44089209850063e-16
+19 0 2 0 0 36 45 64 4.44089209850063e-16
+19 0 2 0 0 36 46 64 4.44089209850063e-16
+19 0 2 0 0 36 47 64 4.44089209850063e-16
+19 0 2 0 0 36 48 64 4.44089209850063e-16
+19 0 2 0 0 36 49 64 4.44089209850063e-16
+19 0 2 0 0 36 50 64 4.44089209850063e-16
+19 0 2 0 0 36 51 64 4.44089209850063e-16
+19 0 2 0 0 36 52 64 4.44089209850063e-16
+19 0 2 0 0 36 53 64 4.44089209850063e-16
+19 0 2 0 0 36 54 64 4.44089209850063e-16
+19 0 2 0 0 36 55 64 4.44089209850063e-16
+19 0 2 0 0 36 56 64 4.44089209850063e-16
+19 0 2 0 0 36 57 64 4.44089209850063e-16
+19 0 2 0 0 36 58 64 4.44089209850063e-16
+19 0 2 0 0 36 59 64 4.44089209850063e-16
+19 0 2 0 0 36 60 64 4.44089209850063e-16
+19 0 2 0 0 36 61 64 4.44089209850063e-16
+19 0 2 0 0 36 62 64 4.44089209850063e-16
+19 0 2 0 0 36 63 64 4.44089209850063e-16
+19 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 4.44089209850063e-16
+20 0 2 0 0 36 40 64 4.44089209850063e-16
+20 0 2 0 0 36 41 64 4.44089209850063e-16
+20 0 2 0 0 36 42 64 4.44089209850063e-16
+20 0 2 0 0 36 43 64 4.44089209850063e-16
+20 0 2 0 0 36 44 64 4.44089209850063e-16
+20 0 2 0 0 36 45 64 4.44089209850063e-16
+20 0 2 0 0 36 46 64 4.44089209850063e-16
+20 0 2 0 0 36 47 64 4.44089209850063e-16
+20 0 2 0 0 36 48 64 4.44089209850063e-16
+20 0 2 0 0 36 49 64 4.44089209850063e-16
+20 0 2 0 0 36 50 64 4.44089209850063e-16
+20 0 2 0 0 36 51 64 4.44089209850063e-16
+20 0 2 0 0 36 52 64 4.44089209850063e-16
+20 0 2 0 0 36 53 64 4.44089209850063e-16
+20 0 2 0 0 36 54 64 4.44089209850063e-16
+20 0 2 0 0 36 55 64 4.44089209850063e-16
+20 0 2 0 0 36 56 64 4.44089209850063e-16
+20 0 2 0 0 36 57 64 4.44089209850063e-16
+20 0 2 0 0 36 58 64 4.44089209850063e-16
+20 0 2 0 0 36 59 64 4.44089209850063e-16
+20 0 2 0 0 36 60 64 4.44089209850063e-16
+20 0 2 0 0 36 61 64 4.44089209850063e-16
+20 0 2 0 0 36 62 64 4.44089209850063e-16
+20 0 2 0 0 36 63 64 4.44089209850063e-16
+20 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 4.44089209850063e-16
+20 0 1 0 0 36 28 64 4.44089209850063e-16
+20 0 1 0 0 36 30 64 4.44089209850063e-16
+20 0 1 0 0 36 32 64 4.44089209850063e-16
+20 0 1 0 0 36 34 64 4.44089209850063e-16
+20 0 1 0 0 36 36 64 4.44089209850063e-16
+20 0 1 0 0 36 38 64 4.44089209850063e-16
+20 0 1 0 0 36 40 64 4.44089209850063e-16
+20 0 1 0 0 36 42 64 4.44089209850063e-16
+20 0 1 0 0 36 44 64 4.44089209850063e-16
+20 0 1 0 0 36 46 64 4.44089209850063e-16
+20 0 1 0 0 36 48 64 4.44089209850063e-16
+20 0 1 0 0 36 50 64 4.44089209850063e-16
+20 0 1 0 0 36 52 64 4.44089209850063e-16
+20 0 1 0 0 36 54 64 4.44089209850063e-16
+20 0 1 0 0 36 56 64 4.44089209850063e-16
+20 0 1 0 0 36 58 64 4.44089209850063e-16
+20 0 1 0 0 36 60 64 4.44089209850063e-16
+20 0 1 0 0 36 62 64 4.44089209850063e-16
+20 0 1 0 0 36 64 64 4.44089209850063e-16
+20 0 1 0 0 36 66 64 4.44089209850063e-16
+20 0 1 0 0 36 68 64 4.44089209850063e-16
+20 0 1 0 0 36 70 64 4.44089209850063e-16
+20 0 1 0 0 36 72 64 4.44089209850063e-16
+20 0 1 0 0 36 74 64 4.44089209850063e-16
+20 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 4.44089209850063e-16
+20 0 0 0 0 36 4 64 4.44089209850063e-16
+20 0 0 0 0 36 8 64 4.44089209850063e-16
+20 0 0 0 0 36 12 64 4.44089209850063e-16
+20 0 0 0 0 36 16 64 4.44089209850063e-16
+20 0 0 0 0 36 20 64 4.44089209850063e-16
+20 0 0 0 0 36 24 64 4.44089209850063e-16
+20 0 0 0 0 36 28 64 4.44089209850063e-16
+20 0 0 0 0 36 32 64 4.44089209850063e-16
+20 0 0 0 0 36 36 64 4.44089209850063e-16
+20 0 0 0 0 36 40 64 4.44089209850063e-16
+20 0 0 0 0 36 44 64 4.44089209850063e-16
+20 0 0 0 0 36 48 64 4.44089209850063e-16
+20 0 0 0 0 36 52 64 4.44089209850063e-16
+20 0 0 0 0 36 56 64 4.44089209850063e-16
+20 0 0 0 0 36 60 64 4.44089209850063e-16
+20 0 0 0 0 36 64 64 4.44089209850063e-16
+20 0 0 0 0 36 68 64 4.44089209850063e-16
+20 0 0 0 0 36 72 64 4.44089209850063e-16
+20 0 0 0 0 36 76 64 4.44089209850063e-16
+20 0 0 0 0 36 80 64 4.44089209850063e-16
+20 0 0 0 0 36 84 64 4.44089209850063e-16
+20 0 0 0 0 36 88 64 4.44089209850063e-16
+20 0 0 0 0 36 92 64 4.44089209850063e-16
+20 0 0 0 0 36 96 64 4.44089209850063e-16
+20 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 4.44089209850063e-16
+21 0 2 0 0 36 40 64 4.44089209850063e-16
+21 0 2 0 0 36 41 64 4.44089209850063e-16
+21 0 2 0 0 36 42 64 4.44089209850063e-16
+21 0 2 0 0 36 43 64 4.44089209850063e-16
+21 0 2 0 0 36 44 64 4.44089209850063e-16
+21 0 2 0 0 36 45 64 4.44089209850063e-16
+21 0 2 0 0 36 46 64 4.44089209850063e-16
+21 0 2 0 0 36 47 64 4.44089209850063e-16
+21 0 2 0 0 36 48 64 4.44089209850063e-16
+21 0 2 0 0 36 49 64 4.44089209850063e-16
+21 0 2 0 0 36 50 64 4.44089209850063e-16
+21 0 2 0 0 36 51 64 4.44089209850063e-16
+21 0 2 0 0 36 52 64 4.44089209850063e-16
+21 0 2 0 0 36 53 64 4.44089209850063e-16
+21 0 2 0 0 36 54 64 4.44089209850063e-16
+21 0 2 0 0 36 55 64 4.44089209850063e-16
+21 0 2 0 0 36 56 64 4.44089209850063e-16
+21 0 2 0 0 36 57 64 4.44089209850063e-16
+21 0 2 0 0 36 58 64 4.44089209850063e-16
+21 0 2 0 0 36 59 64 4.44089209850063e-16
+21 0 2 0 0 36 60 64 4.44089209850063e-16
+21 0 2 0 0 36 61 64 4.44089209850063e-16
+21 0 2 0 0 36 62 64 4.44089209850063e-16
+21 0 2 0 0 36 63 64 4.44089209850063e-16
+21 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 4.44089209850063e-16
+22 0 2 0 0 36 40 64 4.44089209850063e-16
+22 0 2 0 0 36 41 64 4.44089209850063e-16
+22 0 2 0 0 36 42 64 4.44089209850063e-16
+22 0 2 0 0 36 43 64 4.44089209850063e-16
+22 0 2 0 0 36 44 64 4.44089209850063e-16
+22 0 2 0 0 36 45 64 4.44089209850063e-16
+22 0 2 0 0 36 46 64 4.44089209850063e-16
+22 0 2 0 0 36 47 64 4.44089209850063e-16
+22 0 2 0 0 36 48 64 4.44089209850063e-16
+22 0 2 0 0 36 49 64 4.44089209850063e-16
+22 0 2 0 0 36 50 64 4.44089209850063e-16
+22 0 2 0 0 36 51 64 4.44089209850063e-16
+22 0 2 0 0 36 52 64 4.44089209850063e-16
+22 0 2 0 0 36 53 64 4.44089209850063e-16
+22 0 2 0 0 36 54 64 4.44089209850063e-16
+22 0 2 0 0 36 55 64 4.44089209850063e-16
+22 0 2 0 0 36 56 64 4.44089209850063e-16
+22 0 2 0 0 36 57 64 4.44089209850063e-16
+22 0 2 0 0 36 58 64 4.44089209850063e-16
+22 0 2 0 0 36 59 64 4.44089209850063e-16
+22 0 2 0 0 36 60 64 4.44089209850063e-16
+22 0 2 0 0 36 61 64 4.44089209850063e-16
+22 0 2 0 0 36 62 64 4.44089209850063e-16
+22 0 2 0 0 36 63 64 4.44089209850063e-16
+22 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 4.44089209850063e-16
+22 0 1 0 0 36 28 64 4.44089209850063e-16
+22 0 1 0 0 36 30 64 4.44089209850063e-16
+22 0 1 0 0 36 32 64 4.44089209850063e-16
+22 0 1 0 0 36 34 64 4.44089209850063e-16
+22 0 1 0 0 36 36 64 4.44089209850063e-16
+22 0 1 0 0 36 38 64 4.44089209850063e-16
+22 0 1 0 0 36 40 64 4.44089209850063e-16
+22 0 1 0 0 36 42 64 4.44089209850063e-16
+22 0 1 0 0 36 44 64 4.44089209850063e-16
+22 0 1 0 0 36 46 64 4.44089209850063e-16
+22 0 1 0 0 36 48 64 4.44089209850063e-16
+22 0 1 0 0 36 50 64 4.44089209850063e-16
+22 0 1 0 0 36 52 64 4.44089209850063e-16
+22 0 1 0 0 36 54 64 4.44089209850063e-16
+22 0 1 0 0 36 56 64 4.44089209850063e-16
+22 0 1 0 0 36 58 64 4.44089209850063e-16
+22 0 1 0 0 36 60 64 4.44089209850063e-16
+22 0 1 0 0 36 62 64 4.44089209850063e-16
+22 0 1 0 0 36 64 64 4.44089209850063e-16
+22 0 1 0 0 36 66 64 4.44089209850063e-16
+22 0 1 0 0 36 68 64 4.44089209850063e-16
+22 0 1 0 0 36 70 64 4.44089209850063e-16
+22 0 1 0 0 36 72 64 4.44089209850063e-16
+22 0 1 0 0 36 74 64 4.44089209850063e-16
+22 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 4.44089209850063e-16
+23 0 2 0 0 36 40 64 4.44089209850063e-16
+23 0 2 0 0 36 41 64 4.44089209850063e-16
+23 0 2 0 0 36 42 64 4.44089209850063e-16
+23 0 2 0 0 36 43 64 4.44089209850063e-16
+23 0 2 0 0 36 44 64 4.44089209850063e-16
+23 0 2 0 0 36 45 64 4.44089209850063e-16
+23 0 2 0 0 36 46 64 4.44089209850063e-16
+23 0 2 0 0 36 47 64 4.44089209850063e-16
+23 0 2 0 0 36 48 64 4.44089209850063e-16
+23 0 2 0 0 36 49 64 4.44089209850063e-16
+23 0 2 0 0 36 50 64 4.44089209850063e-16
+23 0 2 0 0 36 51 64 4.44089209850063e-16
+23 0 2 0 0 36 52 64 4.44089209850063e-16
+23 0 2 0 0 36 53 64 4.44089209850063e-16
+23 0 2 0 0 36 54 64 4.44089209850063e-16
+23 0 2 0 0 36 55 64 4.44089209850063e-16
+23 0 2 0 0 36 56 64 4.44089209850063e-16
+23 0 2 0 0 36 57 64 4.44089209850063e-16
+23 0 2 0 0 36 58 64 4.44089209850063e-16
+23 0 2 0 0 36 59 64 4.44089209850063e-16
+23 0 2 0 0 36 60 64 4.44089209850063e-16
+23 0 2 0 0 36 61 64 4.44089209850063e-16
+23 0 2 0 0 36 62 64 4.44089209850063e-16
+23 0 2 0 0 36 63 64 4.44089209850063e-16
+23 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 4.44089209850063e-16
+24 0 2 0 0 36 40 64 4.44089209850063e-16
+24 0 2 0 0 36 41 64 4.44089209850063e-16
+24 0 2 0 0 36 42 64 4.44089209850063e-16
+24 0 2 0 0 36 43 64 4.44089209850063e-16
+24 0 2 0 0 36 44 64 4.44089209850063e-16
+24 0 2 0 0 36 45 64 4.44089209850063e-16
+24 0 2 0 0 36 46 64 4.44089209850063e-16
+24 0 2 0 0 36 47 64 4.44089209850063e-16
+24 0 2 0 0 36 48 64 4.44089209850063e-16
+24 0 2 0 0 36 49 64 4.44089209850063e-16
+24 0 2 0 0 36 50 64 4.44089209850063e-16
+24 0 2 0 0 36 51 64 4.44089209850063e-16
+24 0 2 0 0 36 52 64 4.44089209850063e-16
+24 0 2 0 0 36 53 64 4.44089209850063e-16
+24 0 2 0 0 36 54 64 4.44089209850063e-16
+24 0 2 0 0 36 55 64 4.44089209850063e-16
+24 0 2 0 0 36 56 64 4.44089209850063e-16
+24 0 2 0 0 36 57 64 4.44089209850063e-16
+24 0 2 0 0 36 58 64 4.44089209850063e-16
+24 0 2 0 0 36 59 64 4.44089209850063e-16
+24 0 2 0 0 36 60 64 4.44089209850063e-16
+24 0 2 0 0 36 61 64 4.44089209850063e-16
+24 0 2 0 0 36 62 64 4.44089209850063e-16
+24 0 2 0 0 36 63 64 4.44089209850063e-16
+24 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 4.44089209850063e-16
+24 0 1 0 0 36 28 64 4.44089209850063e-16
+24 0 1 0 0 36 30 64 4.44089209850063e-16
+24 0 1 0 0 36 32 64 4.44089209850063e-16
+24 0 1 0 0 36 34 64 4.44089209850063e-16
+24 0 1 0 0 36 36 64 4.44089209850063e-16
+24 0 1 0 0 36 38 64 4.44089209850063e-16
+24 0 1 0 0 36 40 64 4.44089209850063e-16
+24 0 1 0 0 36 42 64 4.44089209850063e-16
+24 0 1 0 0 36 44 64 4.44089209850063e-16
+24 0 1 0 0 36 46 64 4.44089209850063e-16
+24 0 1 0 0 36 48 64 4.44089209850063e-16
+24 0 1 0 0 36 50 64 4.44089209850063e-16
+24 0 1 0 0 36 52 64 4.44089209850063e-16
+24 0 1 0 0 36 54 64 4.44089209850063e-16
+24 0 1 0 0 36 56 64 4.44089209850063e-16
+24 0 1 0 0 36 58 64 4.44089209850063e-16
+24 0 1 0 0 36 60 64 4.44089209850063e-16
+24 0 1 0 0 36 62 64 4.44089209850063e-16
+24 0 1 0 0 36 64 64 4.44089209850063e-16
+24 0 1 0 0 36 66 64 4.44089209850063e-16
+24 0 1 0 0 36 68 64 4.44089209850063e-16
+24 0 1 0 0 36 70 64 4.44089209850063e-16
+24 0 1 0 0 36 72 64 4.44089209850063e-16
+24 0 1 0 0 36 74 64 4.44089209850063e-16
+24 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 4.44089209850063e-16
+24 0 0 0 0 36 4 64 4.44089209850063e-16
+24 0 0 0 0 36 8 64 4.44089209850063e-16
+24 0 0 0 0 36 12 64 4.44089209850063e-16
+24 0 0 0 0 36 16 64 4.44089209850063e-16
+24 0 0 0 0 36 20 64 4.44089209850063e-16
+24 0 0 0 0 36 24 64 4.44089209850063e-16
+24 0 0 0 0 36 28 64 4.44089209850063e-16
+24 0 0 0 0 36 32 64 4.44089209850063e-16
+24 0 0 0 0 36 36 64 4.44089209850063e-16
+24 0 0 0 0 36 40 64 4.44089209850063e-16
+24 0 0 0 0 36 44 64 4.44089209850063e-16
+24 0 0 0 0 36 48 64 4.44089209850063e-16
+24 0 0 0 0 36 52 64 4.44089209850063e-16
+24 0 0 0 0 36 56 64 4.44089209850063e-16
+24 0 0 0 0 36 60 64 4.44089209850063e-16
+24 0 0 0 0 36 64 64 4.44089209850063e-16
+24 0 0 0 0 36 68 64 4.44089209850063e-16
+24 0 0 0 0 36 72 64 4.44089209850063e-16
+24 0 0 0 0 36 76 64 4.44089209850063e-16
+24 0 0 0 0 36 80 64 4.44089209850063e-16
+24 0 0 0 0 36 84 64 4.44089209850063e-16
+24 0 0 0 0 36 88 64 4.44089209850063e-16
+24 0 0 0 0 36 92 64 4.44089209850063e-16
+24 0 0 0 0 36 96 64 4.44089209850063e-16
+24 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_x.zl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_x.zl
new file mode 100644
index 000000000..1224f01b3
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_x.zl
@@ -0,0 +1,1757 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 4.44089209850063e-16
+0 0 2 0 0 36 48 52 4.44089209850063e-16
+0 0 2 0 0 36 48 53 4.44089209850063e-16
+0 0 2 0 0 36 48 54 4.44089209850063e-16
+0 0 2 0 0 36 48 55 4.44089209850063e-16
+0 0 2 0 0 36 48 56 4.44089209850063e-16
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+0 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 4.44089209850063e-16
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+0 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 4.44089209850063e-16
+0 0 0 0 0 36 48 4 4.44089209850063e-16
+0 0 0 0 0 36 48 8 4.44089209850063e-16
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+0 0 0 0 0 36 48 112 4.44089209850063e-16
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+0 0 0 0 0 36 48 128 4.44089209850063e-16
+0 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 4.44089209850063e-16
+1 0 2 0 0 36 48 52 4.44089209850063e-16
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+1 0 2 0 0 36 48 83 4.44089209850063e-16
+1 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 4.44089209850063e-16
+2 0 2 0 0 36 48 52 4.44089209850063e-16
+2 0 2 0 0 36 48 53 4.44089209850063e-16
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+2 0 2 0 0 36 48 65 4.44089209850063e-16
+2 0 2 0 0 36 48 66 4.44089209850063e-16
+2 0 2 0 0 36 48 67 4.44089209850063e-16
+2 0 2 0 0 36 48 68 4.44089209850063e-16
+2 0 2 0 0 36 48 69 4.44089209850063e-16
+2 0 2 0 0 36 48 70 4.44089209850063e-16
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+2 0 2 0 0 36 48 73 4.44089209850063e-16
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+2 0 2 0 0 36 48 77 4.44089209850063e-16
+2 0 2 0 0 36 48 78 4.44089209850063e-16
+2 0 2 0 0 36 48 79 4.44089209850063e-16
+2 0 2 0 0 36 48 80 4.44089209850063e-16
+2 0 2 0 0 36 48 81 4.44089209850063e-16
+2 0 2 0 0 36 48 82 4.44089209850063e-16
+2 0 2 0 0 36 48 83 4.44089209850063e-16
+2 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 4.44089209850063e-16
+2 0 1 0 0 36 48 36 4.44089209850063e-16
+2 0 1 0 0 36 48 38 4.44089209850063e-16
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+2 0 1 0 0 36 48 98 4.44089209850063e-16
+2 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 4.44089209850063e-16
+3 0 2 0 0 36 48 52 4.44089209850063e-16
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+3 0 2 0 0 36 48 83 4.44089209850063e-16
+3 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 4.44089209850063e-16
+4 0 2 0 0 36 48 52 4.44089209850063e-16
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+4 0 2 0 0 36 48 77 4.44089209850063e-16
+4 0 2 0 0 36 48 78 4.44089209850063e-16
+4 0 2 0 0 36 48 79 4.44089209850063e-16
+4 0 2 0 0 36 48 80 4.44089209850063e-16
+4 0 2 0 0 36 48 81 4.44089209850063e-16
+4 0 2 0 0 36 48 82 4.44089209850063e-16
+4 0 2 0 0 36 48 83 4.44089209850063e-16
+4 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 4.44089209850063e-16
+4 0 1 0 0 36 48 36 4.44089209850063e-16
+4 0 1 0 0 36 48 38 4.44089209850063e-16
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+4 0 1 0 0 36 48 84 4.44089209850063e-16
+4 0 1 0 0 36 48 86 4.44089209850063e-16
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+4 0 1 0 0 36 48 90 4.44089209850063e-16
+4 0 1 0 0 36 48 92 4.44089209850063e-16
+4 0 1 0 0 36 48 94 4.44089209850063e-16
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+4 0 1 0 0 36 48 98 4.44089209850063e-16
+4 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 4.44089209850063e-16
+4 0 0 0 0 36 48 4 4.44089209850063e-16
+4 0 0 0 0 36 48 8 4.44089209850063e-16
+4 0 0 0 0 36 48 12 4.44089209850063e-16
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+4 0 0 0 0 36 48 60 4.44089209850063e-16
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+4 0 0 0 0 36 48 68 4.44089209850063e-16
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+4 0 0 0 0 36 48 88 4.44089209850063e-16
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+4 0 0 0 0 36 48 96 4.44089209850063e-16
+4 0 0 0 0 36 48 100 4.44089209850063e-16
+4 0 0 0 0 36 48 104 4.44089209850063e-16
+4 0 0 0 0 36 48 108 4.44089209850063e-16
+4 0 0 0 0 36 48 112 4.44089209850063e-16
+4 0 0 0 0 36 48 116 4.44089209850063e-16
+4 0 0 0 0 36 48 120 4.44089209850063e-16
+4 0 0 0 0 36 48 124 4.44089209850063e-16
+4 0 0 0 0 36 48 128 4.44089209850063e-16
+4 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 4.44089209850063e-16
+5 0 2 0 0 36 48 52 4.44089209850063e-16
+5 0 2 0 0 36 48 53 4.44089209850063e-16
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+5 0 2 0 0 36 48 65 4.44089209850063e-16
+5 0 2 0 0 36 48 66 4.44089209850063e-16
+5 0 2 0 0 36 48 67 4.44089209850063e-16
+5 0 2 0 0 36 48 68 4.44089209850063e-16
+5 0 2 0 0 36 48 69 4.44089209850063e-16
+5 0 2 0 0 36 48 70 4.44089209850063e-16
+5 0 2 0 0 36 48 71 4.44089209850063e-16
+5 0 2 0 0 36 48 72 4.44089209850063e-16
+5 0 2 0 0 36 48 73 4.44089209850063e-16
+5 0 2 0 0 36 48 74 4.44089209850063e-16
+5 0 2 0 0 36 48 75 4.44089209850063e-16
+5 0 2 0 0 36 48 76 4.44089209850063e-16
+5 0 2 0 0 36 48 77 4.44089209850063e-16
+5 0 2 0 0 36 48 78 4.44089209850063e-16
+5 0 2 0 0 36 48 79 4.44089209850063e-16
+5 0 2 0 0 36 48 80 4.44089209850063e-16
+5 0 2 0 0 36 48 81 4.44089209850063e-16
+5 0 2 0 0 36 48 82 4.44089209850063e-16
+5 0 2 0 0 36 48 83 4.44089209850063e-16
+5 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 4.44089209850063e-16
+6 0 2 0 0 36 48 52 4.44089209850063e-16
+6 0 2 0 0 36 48 53 4.44089209850063e-16
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+6 0 2 0 0 36 48 61 4.44089209850063e-16
+6 0 2 0 0 36 48 62 4.44089209850063e-16
+6 0 2 0 0 36 48 63 4.44089209850063e-16
+6 0 2 0 0 36 48 64 4.44089209850063e-16
+6 0 2 0 0 36 48 65 4.44089209850063e-16
+6 0 2 0 0 36 48 66 4.44089209850063e-16
+6 0 2 0 0 36 48 67 4.44089209850063e-16
+6 0 2 0 0 36 48 68 4.44089209850063e-16
+6 0 2 0 0 36 48 69 4.44089209850063e-16
+6 0 2 0 0 36 48 70 4.44089209850063e-16
+6 0 2 0 0 36 48 71 4.44089209850063e-16
+6 0 2 0 0 36 48 72 4.44089209850063e-16
+6 0 2 0 0 36 48 73 4.44089209850063e-16
+6 0 2 0 0 36 48 74 4.44089209850063e-16
+6 0 2 0 0 36 48 75 4.44089209850063e-16
+6 0 2 0 0 36 48 76 4.44089209850063e-16
+6 0 2 0 0 36 48 77 4.44089209850063e-16
+6 0 2 0 0 36 48 78 4.44089209850063e-16
+6 0 2 0 0 36 48 79 4.44089209850063e-16
+6 0 2 0 0 36 48 80 4.44089209850063e-16
+6 0 2 0 0 36 48 81 4.44089209850063e-16
+6 0 2 0 0 36 48 82 4.44089209850063e-16
+6 0 2 0 0 36 48 83 4.44089209850063e-16
+6 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 4.44089209850063e-16
+6 0 1 0 0 36 48 36 4.44089209850063e-16
+6 0 1 0 0 36 48 38 4.44089209850063e-16
+6 0 1 0 0 36 48 40 4.44089209850063e-16
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+6 0 1 0 0 36 48 48 4.44089209850063e-16
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+6 0 1 0 0 36 48 56 4.44089209850063e-16
+6 0 1 0 0 36 48 58 4.44089209850063e-16
+6 0 1 0 0 36 48 60 4.44089209850063e-16
+6 0 1 0 0 36 48 62 4.44089209850063e-16
+6 0 1 0 0 36 48 64 4.44089209850063e-16
+6 0 1 0 0 36 48 66 4.44089209850063e-16
+6 0 1 0 0 36 48 68 4.44089209850063e-16
+6 0 1 0 0 36 48 70 4.44089209850063e-16
+6 0 1 0 0 36 48 72 4.44089209850063e-16
+6 0 1 0 0 36 48 74 4.44089209850063e-16
+6 0 1 0 0 36 48 76 4.44089209850063e-16
+6 0 1 0 0 36 48 78 4.44089209850063e-16
+6 0 1 0 0 36 48 80 4.44089209850063e-16
+6 0 1 0 0 36 48 82 4.44089209850063e-16
+6 0 1 0 0 36 48 84 4.44089209850063e-16
+6 0 1 0 0 36 48 86 4.44089209850063e-16
+6 0 1 0 0 36 48 88 4.44089209850063e-16
+6 0 1 0 0 36 48 90 4.44089209850063e-16
+6 0 1 0 0 36 48 92 4.44089209850063e-16
+6 0 1 0 0 36 48 94 4.44089209850063e-16
+6 0 1 0 0 36 48 96 4.44089209850063e-16
+6 0 1 0 0 36 48 98 4.44089209850063e-16
+6 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 4.44089209850063e-16
+7 0 2 0 0 36 48 52 4.44089209850063e-16
+7 0 2 0 0 36 48 53 4.44089209850063e-16
+7 0 2 0 0 36 48 54 4.44089209850063e-16
+7 0 2 0 0 36 48 55 4.44089209850063e-16
+7 0 2 0 0 36 48 56 4.44089209850063e-16
+7 0 2 0 0 36 48 57 4.44089209850063e-16
+7 0 2 0 0 36 48 58 4.44089209850063e-16
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+7 0 2 0 0 36 48 60 4.44089209850063e-16
+7 0 2 0 0 36 48 61 4.44089209850063e-16
+7 0 2 0 0 36 48 62 4.44089209850063e-16
+7 0 2 0 0 36 48 63 4.44089209850063e-16
+7 0 2 0 0 36 48 64 4.44089209850063e-16
+7 0 2 0 0 36 48 65 4.44089209850063e-16
+7 0 2 0 0 36 48 66 4.44089209850063e-16
+7 0 2 0 0 36 48 67 4.44089209850063e-16
+7 0 2 0 0 36 48 68 4.44089209850063e-16
+7 0 2 0 0 36 48 69 4.44089209850063e-16
+7 0 2 0 0 36 48 70 4.44089209850063e-16
+7 0 2 0 0 36 48 71 4.44089209850063e-16
+7 0 2 0 0 36 48 72 4.44089209850063e-16
+7 0 2 0 0 36 48 73 4.44089209850063e-16
+7 0 2 0 0 36 48 74 4.44089209850063e-16
+7 0 2 0 0 36 48 75 4.44089209850063e-16
+7 0 2 0 0 36 48 76 4.44089209850063e-16
+7 0 2 0 0 36 48 77 4.44089209850063e-16
+7 0 2 0 0 36 48 78 4.44089209850063e-16
+7 0 2 0 0 36 48 79 4.44089209850063e-16
+7 0 2 0 0 36 48 80 4.44089209850063e-16
+7 0 2 0 0 36 48 81 4.44089209850063e-16
+7 0 2 0 0 36 48 82 4.44089209850063e-16
+7 0 2 0 0 36 48 83 4.44089209850063e-16
+7 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 4.44089209850063e-16
+8 0 2 0 0 36 48 52 4.44089209850063e-16
+8 0 2 0 0 36 48 53 4.44089209850063e-16
+8 0 2 0 0 36 48 54 4.44089209850063e-16
+8 0 2 0 0 36 48 55 4.44089209850063e-16
+8 0 2 0 0 36 48 56 4.44089209850063e-16
+8 0 2 0 0 36 48 57 4.44089209850063e-16
+8 0 2 0 0 36 48 58 4.44089209850063e-16
+8 0 2 0 0 36 48 59 4.44089209850063e-16
+8 0 2 0 0 36 48 60 4.44089209850063e-16
+8 0 2 0 0 36 48 61 4.44089209850063e-16
+8 0 2 0 0 36 48 62 4.44089209850063e-16
+8 0 2 0 0 36 48 63 4.44089209850063e-16
+8 0 2 0 0 36 48 64 4.44089209850063e-16
+8 0 2 0 0 36 48 65 4.44089209850063e-16
+8 0 2 0 0 36 48 66 4.44089209850063e-16
+8 0 2 0 0 36 48 67 4.44089209850063e-16
+8 0 2 0 0 36 48 68 4.44089209850063e-16
+8 0 2 0 0 36 48 69 4.44089209850063e-16
+8 0 2 0 0 36 48 70 4.44089209850063e-16
+8 0 2 0 0 36 48 71 4.44089209850063e-16
+8 0 2 0 0 36 48 72 4.44089209850063e-16
+8 0 2 0 0 36 48 73 4.44089209850063e-16
+8 0 2 0 0 36 48 74 4.44089209850063e-16
+8 0 2 0 0 36 48 75 4.44089209850063e-16
+8 0 2 0 0 36 48 76 4.44089209850063e-16
+8 0 2 0 0 36 48 77 4.44089209850063e-16
+8 0 2 0 0 36 48 78 4.44089209850063e-16
+8 0 2 0 0 36 48 79 4.44089209850063e-16
+8 0 2 0 0 36 48 80 4.44089209850063e-16
+8 0 2 0 0 36 48 81 4.44089209850063e-16
+8 0 2 0 0 36 48 82 4.44089209850063e-16
+8 0 2 0 0 36 48 83 4.44089209850063e-16
+8 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 4.44089209850063e-16
+8 0 1 0 0 36 48 36 4.44089209850063e-16
+8 0 1 0 0 36 48 38 4.44089209850063e-16
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+8 0 1 0 0 36 48 52 4.44089209850063e-16
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+8 0 1 0 0 36 48 62 4.44089209850063e-16
+8 0 1 0 0 36 48 64 4.44089209850063e-16
+8 0 1 0 0 36 48 66 4.44089209850063e-16
+8 0 1 0 0 36 48 68 4.44089209850063e-16
+8 0 1 0 0 36 48 70 4.44089209850063e-16
+8 0 1 0 0 36 48 72 4.44089209850063e-16
+8 0 1 0 0 36 48 74 4.44089209850063e-16
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+8 0 1 0 0 36 48 78 4.44089209850063e-16
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+8 0 1 0 0 36 48 82 4.44089209850063e-16
+8 0 1 0 0 36 48 84 4.44089209850063e-16
+8 0 1 0 0 36 48 86 4.44089209850063e-16
+8 0 1 0 0 36 48 88 4.44089209850063e-16
+8 0 1 0 0 36 48 90 4.44089209850063e-16
+8 0 1 0 0 36 48 92 4.44089209850063e-16
+8 0 1 0 0 36 48 94 4.44089209850063e-16
+8 0 1 0 0 36 48 96 4.44089209850063e-16
+8 0 1 0 0 36 48 98 4.44089209850063e-16
+8 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 4.44089209850063e-16
+8 0 0 0 0 36 48 4 4.44089209850063e-16
+8 0 0 0 0 36 48 8 4.44089209850063e-16
+8 0 0 0 0 36 48 12 4.44089209850063e-16
+8 0 0 0 0 36 48 16 4.44089209850063e-16
+8 0 0 0 0 36 48 20 4.44089209850063e-16
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+8 0 0 0 0 36 48 36 4.44089209850063e-16
+8 0 0 0 0 36 48 40 4.44089209850063e-16
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+8 0 0 0 0 36 48 56 4.44089209850063e-16
+8 0 0 0 0 36 48 60 4.44089209850063e-16
+8 0 0 0 0 36 48 64 4.44089209850063e-16
+8 0 0 0 0 36 48 68 4.44089209850063e-16
+8 0 0 0 0 36 48 72 4.44089209850063e-16
+8 0 0 0 0 36 48 76 4.44089209850063e-16
+8 0 0 0 0 36 48 80 4.44089209850063e-16
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+8 0 0 0 0 36 48 88 4.44089209850063e-16
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+8 0 0 0 0 36 48 96 4.44089209850063e-16
+8 0 0 0 0 36 48 100 4.44089209850063e-16
+8 0 0 0 0 36 48 104 4.44089209850063e-16
+8 0 0 0 0 36 48 108 4.44089209850063e-16
+8 0 0 0 0 36 48 112 4.44089209850063e-16
+8 0 0 0 0 36 48 116 4.44089209850063e-16
+8 0 0 0 0 36 48 120 4.44089209850063e-16
+8 0 0 0 0 36 48 124 4.44089209850063e-16
+8 0 0 0 0 36 48 128 4.44089209850063e-16
+8 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 4.44089209850063e-16
+9 0 2 0 0 36 48 52 4.44089209850063e-16
+9 0 2 0 0 36 48 53 4.44089209850063e-16
+9 0 2 0 0 36 48 54 4.44089209850063e-16
+9 0 2 0 0 36 48 55 4.44089209850063e-16
+9 0 2 0 0 36 48 56 4.44089209850063e-16
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+9 0 2 0 0 36 48 60 4.44089209850063e-16
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+9 0 2 0 0 36 48 66 4.44089209850063e-16
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+9 0 2 0 0 36 48 68 4.44089209850063e-16
+9 0 2 0 0 36 48 69 4.44089209850063e-16
+9 0 2 0 0 36 48 70 4.44089209850063e-16
+9 0 2 0 0 36 48 71 4.44089209850063e-16
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+9 0 2 0 0 36 48 73 4.44089209850063e-16
+9 0 2 0 0 36 48 74 4.44089209850063e-16
+9 0 2 0 0 36 48 75 4.44089209850063e-16
+9 0 2 0 0 36 48 76 4.44089209850063e-16
+9 0 2 0 0 36 48 77 4.44089209850063e-16
+9 0 2 0 0 36 48 78 4.44089209850063e-16
+9 0 2 0 0 36 48 79 4.44089209850063e-16
+9 0 2 0 0 36 48 80 4.44089209850063e-16
+9 0 2 0 0 36 48 81 4.44089209850063e-16
+9 0 2 0 0 36 48 82 4.44089209850063e-16
+9 0 2 0 0 36 48 83 4.44089209850063e-16
+9 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 4.44089209850063e-16
+10 0 2 0 0 36 48 52 4.44089209850063e-16
+10 0 2 0 0 36 48 53 4.44089209850063e-16
+10 0 2 0 0 36 48 54 4.44089209850063e-16
+10 0 2 0 0 36 48 55 4.44089209850063e-16
+10 0 2 0 0 36 48 56 4.44089209850063e-16
+10 0 2 0 0 36 48 57 4.44089209850063e-16
+10 0 2 0 0 36 48 58 4.44089209850063e-16
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+10 0 2 0 0 36 48 60 4.44089209850063e-16
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+10 0 2 0 0 36 48 63 4.44089209850063e-16
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+10 0 2 0 0 36 48 65 4.44089209850063e-16
+10 0 2 0 0 36 48 66 4.44089209850063e-16
+10 0 2 0 0 36 48 67 4.44089209850063e-16
+10 0 2 0 0 36 48 68 4.44089209850063e-16
+10 0 2 0 0 36 48 69 4.44089209850063e-16
+10 0 2 0 0 36 48 70 4.44089209850063e-16
+10 0 2 0 0 36 48 71 4.44089209850063e-16
+10 0 2 0 0 36 48 72 4.44089209850063e-16
+10 0 2 0 0 36 48 73 4.44089209850063e-16
+10 0 2 0 0 36 48 74 4.44089209850063e-16
+10 0 2 0 0 36 48 75 4.44089209850063e-16
+10 0 2 0 0 36 48 76 4.44089209850063e-16
+10 0 2 0 0 36 48 77 4.44089209850063e-16
+10 0 2 0 0 36 48 78 4.44089209850063e-16
+10 0 2 0 0 36 48 79 4.44089209850063e-16
+10 0 2 0 0 36 48 80 4.44089209850063e-16
+10 0 2 0 0 36 48 81 4.44089209850063e-16
+10 0 2 0 0 36 48 82 4.44089209850063e-16
+10 0 2 0 0 36 48 83 4.44089209850063e-16
+10 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 4.44089209850063e-16
+10 0 1 0 0 36 48 36 4.44089209850063e-16
+10 0 1 0 0 36 48 38 4.44089209850063e-16
+10 0 1 0 0 36 48 40 4.44089209850063e-16
+10 0 1 0 0 36 48 42 4.44089209850063e-16
+10 0 1 0 0 36 48 44 4.44089209850063e-16
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+10 0 1 0 0 36 48 48 4.44089209850063e-16
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+10 0 1 0 0 36 48 60 4.44089209850063e-16
+10 0 1 0 0 36 48 62 4.44089209850063e-16
+10 0 1 0 0 36 48 64 4.44089209850063e-16
+10 0 1 0 0 36 48 66 4.44089209850063e-16
+10 0 1 0 0 36 48 68 4.44089209850063e-16
+10 0 1 0 0 36 48 70 4.44089209850063e-16
+10 0 1 0 0 36 48 72 4.44089209850063e-16
+10 0 1 0 0 36 48 74 4.44089209850063e-16
+10 0 1 0 0 36 48 76 4.44089209850063e-16
+10 0 1 0 0 36 48 78 4.44089209850063e-16
+10 0 1 0 0 36 48 80 4.44089209850063e-16
+10 0 1 0 0 36 48 82 4.44089209850063e-16
+10 0 1 0 0 36 48 84 4.44089209850063e-16
+10 0 1 0 0 36 48 86 4.44089209850063e-16
+10 0 1 0 0 36 48 88 4.44089209850063e-16
+10 0 1 0 0 36 48 90 4.44089209850063e-16
+10 0 1 0 0 36 48 92 4.44089209850063e-16
+10 0 1 0 0 36 48 94 4.44089209850063e-16
+10 0 1 0 0 36 48 96 4.44089209850063e-16
+10 0 1 0 0 36 48 98 4.44089209850063e-16
+10 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 4.44089209850063e-16
+11 0 2 0 0 36 48 52 4.44089209850063e-16
+11 0 2 0 0 36 48 53 4.44089209850063e-16
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+11 0 2 0 0 36 48 67 4.44089209850063e-16
+11 0 2 0 0 36 48 68 4.44089209850063e-16
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+11 0 2 0 0 36 48 70 4.44089209850063e-16
+11 0 2 0 0 36 48 71 4.44089209850063e-16
+11 0 2 0 0 36 48 72 4.44089209850063e-16
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+11 0 2 0 0 36 48 83 4.44089209850063e-16
+11 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 4.44089209850063e-16
+12 0 2 0 0 36 48 52 4.44089209850063e-16
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+12 0 2 0 0 36 48 77 4.44089209850063e-16
+12 0 2 0 0 36 48 78 4.44089209850063e-16
+12 0 2 0 0 36 48 79 4.44089209850063e-16
+12 0 2 0 0 36 48 80 4.44089209850063e-16
+12 0 2 0 0 36 48 81 4.44089209850063e-16
+12 0 2 0 0 36 48 82 4.44089209850063e-16
+12 0 2 0 0 36 48 83 4.44089209850063e-16
+12 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 4.44089209850063e-16
+12 0 1 0 0 36 48 36 4.44089209850063e-16
+12 0 1 0 0 36 48 38 4.44089209850063e-16
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+12 0 1 0 0 36 48 86 4.44089209850063e-16
+12 0 1 0 0 36 48 88 4.44089209850063e-16
+12 0 1 0 0 36 48 90 4.44089209850063e-16
+12 0 1 0 0 36 48 92 4.44089209850063e-16
+12 0 1 0 0 36 48 94 4.44089209850063e-16
+12 0 1 0 0 36 48 96 4.44089209850063e-16
+12 0 1 0 0 36 48 98 4.44089209850063e-16
+12 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 4.44089209850063e-16
+12 0 0 0 0 36 48 4 4.44089209850063e-16
+12 0 0 0 0 36 48 8 4.44089209850063e-16
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+12 0 0 0 0 36 48 88 4.44089209850063e-16
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+12 0 0 0 0 36 48 104 4.44089209850063e-16
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+12 0 0 0 0 36 48 112 4.44089209850063e-16
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+12 0 0 0 0 36 48 120 4.44089209850063e-16
+12 0 0 0 0 36 48 124 4.44089209850063e-16
+12 0 0 0 0 36 48 128 4.44089209850063e-16
+12 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 4.44089209850063e-16
+13 0 2 0 0 36 48 52 4.44089209850063e-16
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+13 0 2 0 0 36 48 77 4.44089209850063e-16
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+13 0 2 0 0 36 48 79 4.44089209850063e-16
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+13 0 2 0 0 36 48 83 4.44089209850063e-16
+13 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 4.44089209850063e-16
+14 0 2 0 0 36 48 52 4.44089209850063e-16
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+14 0 2 0 0 36 48 77 4.44089209850063e-16
+14 0 2 0 0 36 48 78 4.44089209850063e-16
+14 0 2 0 0 36 48 79 4.44089209850063e-16
+14 0 2 0 0 36 48 80 4.44089209850063e-16
+14 0 2 0 0 36 48 81 4.44089209850063e-16
+14 0 2 0 0 36 48 82 4.44089209850063e-16
+14 0 2 0 0 36 48 83 4.44089209850063e-16
+14 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 4.44089209850063e-16
+14 0 1 0 0 36 48 36 4.44089209850063e-16
+14 0 1 0 0 36 48 38 4.44089209850063e-16
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+14 0 1 0 0 36 48 98 4.44089209850063e-16
+14 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 4.44089209850063e-16
+15 0 2 0 0 36 48 52 4.44089209850063e-16
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+15 0 2 0 0 36 48 83 4.44089209850063e-16
+15 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 4.44089209850063e-16
+16 0 2 0 0 36 48 52 4.44089209850063e-16
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+16 0 2 0 0 36 48 77 4.44089209850063e-16
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+16 0 2 0 0 36 48 79 4.44089209850063e-16
+16 0 2 0 0 36 48 80 4.44089209850063e-16
+16 0 2 0 0 36 48 81 4.44089209850063e-16
+16 0 2 0 0 36 48 82 4.44089209850063e-16
+16 0 2 0 0 36 48 83 4.44089209850063e-16
+16 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 4.44089209850063e-16
+16 0 1 0 0 36 48 36 4.44089209850063e-16
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+16 0 1 0 0 36 48 86 4.44089209850063e-16
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+16 0 1 0 0 36 48 90 4.44089209850063e-16
+16 0 1 0 0 36 48 92 4.44089209850063e-16
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+16 0 1 0 0 36 48 98 4.44089209850063e-16
+16 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 4.44089209850063e-16
+16 0 0 0 0 36 48 4 4.44089209850063e-16
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+16 0 0 0 0 36 48 112 4.44089209850063e-16
+16 0 0 0 0 36 48 116 4.44089209850063e-16
+16 0 0 0 0 36 48 120 4.44089209850063e-16
+16 0 0 0 0 36 48 124 4.44089209850063e-16
+16 0 0 0 0 36 48 128 4.44089209850063e-16
+16 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 4.44089209850063e-16
+17 0 2 0 0 36 48 52 4.44089209850063e-16
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+17 0 2 0 0 36 48 82 4.44089209850063e-16
+17 0 2 0 0 36 48 83 4.44089209850063e-16
+17 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 4.44089209850063e-16
+18 0 2 0 0 36 48 52 4.44089209850063e-16
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+18 0 2 0 0 36 48 67 4.44089209850063e-16
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+18 0 2 0 0 36 48 77 4.44089209850063e-16
+18 0 2 0 0 36 48 78 4.44089209850063e-16
+18 0 2 0 0 36 48 79 4.44089209850063e-16
+18 0 2 0 0 36 48 80 4.44089209850063e-16
+18 0 2 0 0 36 48 81 4.44089209850063e-16
+18 0 2 0 0 36 48 82 4.44089209850063e-16
+18 0 2 0 0 36 48 83 4.44089209850063e-16
+18 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 4.44089209850063e-16
+18 0 1 0 0 36 48 36 4.44089209850063e-16
+18 0 1 0 0 36 48 38 4.44089209850063e-16
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+18 0 1 0 0 36 48 66 4.44089209850063e-16
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+18 0 1 0 0 36 48 86 4.44089209850063e-16
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+18 0 1 0 0 36 48 90 4.44089209850063e-16
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+18 0 1 0 0 36 48 96 4.44089209850063e-16
+18 0 1 0 0 36 48 98 4.44089209850063e-16
+18 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 4.44089209850063e-16
+19 0 2 0 0 36 48 52 4.44089209850063e-16
+19 0 2 0 0 36 48 53 4.44089209850063e-16
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+19 0 2 0 0 36 48 67 4.44089209850063e-16
+19 0 2 0 0 36 48 68 4.44089209850063e-16
+19 0 2 0 0 36 48 69 4.44089209850063e-16
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+19 0 2 0 0 36 48 73 4.44089209850063e-16
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+19 0 2 0 0 36 48 79 4.44089209850063e-16
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+19 0 2 0 0 36 48 82 4.44089209850063e-16
+19 0 2 0 0 36 48 83 4.44089209850063e-16
+19 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 4.44089209850063e-16
+20 0 2 0 0 36 48 52 4.44089209850063e-16
+20 0 2 0 0 36 48 53 4.44089209850063e-16
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+20 0 2 0 0 36 48 65 4.44089209850063e-16
+20 0 2 0 0 36 48 66 4.44089209850063e-16
+20 0 2 0 0 36 48 67 4.44089209850063e-16
+20 0 2 0 0 36 48 68 4.44089209850063e-16
+20 0 2 0 0 36 48 69 4.44089209850063e-16
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+20 0 2 0 0 36 48 73 4.44089209850063e-16
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+20 0 2 0 0 36 48 77 4.44089209850063e-16
+20 0 2 0 0 36 48 78 4.44089209850063e-16
+20 0 2 0 0 36 48 79 4.44089209850063e-16
+20 0 2 0 0 36 48 80 4.44089209850063e-16
+20 0 2 0 0 36 48 81 4.44089209850063e-16
+20 0 2 0 0 36 48 82 4.44089209850063e-16
+20 0 2 0 0 36 48 83 4.44089209850063e-16
+20 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 4.44089209850063e-16
+20 0 1 0 0 36 48 36 4.44089209850063e-16
+20 0 1 0 0 36 48 38 4.44089209850063e-16
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+20 0 1 0 0 36 48 62 4.44089209850063e-16
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+20 0 1 0 0 36 48 68 4.44089209850063e-16
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+20 0 1 0 0 36 48 86 4.44089209850063e-16
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+20 0 1 0 0 36 48 90 4.44089209850063e-16
+20 0 1 0 0 36 48 92 4.44089209850063e-16
+20 0 1 0 0 36 48 94 4.44089209850063e-16
+20 0 1 0 0 36 48 96 4.44089209850063e-16
+20 0 1 0 0 36 48 98 4.44089209850063e-16
+20 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 4.44089209850063e-16
+20 0 0 0 0 36 48 4 4.44089209850063e-16
+20 0 0 0 0 36 48 8 4.44089209850063e-16
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+20 0 0 0 0 36 48 16 4.44089209850063e-16
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+20 0 0 0 0 36 48 56 4.44089209850063e-16
+20 0 0 0 0 36 48 60 4.44089209850063e-16
+20 0 0 0 0 36 48 64 4.44089209850063e-16
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+20 0 0 0 0 36 48 96 4.44089209850063e-16
+20 0 0 0 0 36 48 100 4.44089209850063e-16
+20 0 0 0 0 36 48 104 4.44089209850063e-16
+20 0 0 0 0 36 48 108 4.44089209850063e-16
+20 0 0 0 0 36 48 112 4.44089209850063e-16
+20 0 0 0 0 36 48 116 4.44089209850063e-16
+20 0 0 0 0 36 48 120 4.44089209850063e-16
+20 0 0 0 0 36 48 124 4.44089209850063e-16
+20 0 0 0 0 36 48 128 4.44089209850063e-16
+20 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 4.44089209850063e-16
+21 0 2 0 0 36 48 52 4.44089209850063e-16
+21 0 2 0 0 36 48 53 4.44089209850063e-16
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+21 0 2 0 0 36 48 67 4.44089209850063e-16
+21 0 2 0 0 36 48 68 4.44089209850063e-16
+21 0 2 0 0 36 48 69 4.44089209850063e-16
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+21 0 2 0 0 36 48 71 4.44089209850063e-16
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+21 0 2 0 0 36 48 73 4.44089209850063e-16
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+21 0 2 0 0 36 48 75 4.44089209850063e-16
+21 0 2 0 0 36 48 76 4.44089209850063e-16
+21 0 2 0 0 36 48 77 4.44089209850063e-16
+21 0 2 0 0 36 48 78 4.44089209850063e-16
+21 0 2 0 0 36 48 79 4.44089209850063e-16
+21 0 2 0 0 36 48 80 4.44089209850063e-16
+21 0 2 0 0 36 48 81 4.44089209850063e-16
+21 0 2 0 0 36 48 82 4.44089209850063e-16
+21 0 2 0 0 36 48 83 4.44089209850063e-16
+21 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 4.44089209850063e-16
+22 0 2 0 0 36 48 52 4.44089209850063e-16
+22 0 2 0 0 36 48 53 4.44089209850063e-16
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+22 0 2 0 0 36 48 55 4.44089209850063e-16
+22 0 2 0 0 36 48 56 4.44089209850063e-16
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+22 0 2 0 0 36 48 67 4.44089209850063e-16
+22 0 2 0 0 36 48 68 4.44089209850063e-16
+22 0 2 0 0 36 48 69 4.44089209850063e-16
+22 0 2 0 0 36 48 70 4.44089209850063e-16
+22 0 2 0 0 36 48 71 4.44089209850063e-16
+22 0 2 0 0 36 48 72 4.44089209850063e-16
+22 0 2 0 0 36 48 73 4.44089209850063e-16
+22 0 2 0 0 36 48 74 4.44089209850063e-16
+22 0 2 0 0 36 48 75 4.44089209850063e-16
+22 0 2 0 0 36 48 76 4.44089209850063e-16
+22 0 2 0 0 36 48 77 4.44089209850063e-16
+22 0 2 0 0 36 48 78 4.44089209850063e-16
+22 0 2 0 0 36 48 79 4.44089209850063e-16
+22 0 2 0 0 36 48 80 4.44089209850063e-16
+22 0 2 0 0 36 48 81 4.44089209850063e-16
+22 0 2 0 0 36 48 82 4.44089209850063e-16
+22 0 2 0 0 36 48 83 4.44089209850063e-16
+22 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 4.44089209850063e-16
+22 0 1 0 0 36 48 36 4.44089209850063e-16
+22 0 1 0 0 36 48 38 4.44089209850063e-16
+22 0 1 0 0 36 48 40 4.44089209850063e-16
+22 0 1 0 0 36 48 42 4.44089209850063e-16
+22 0 1 0 0 36 48 44 4.44089209850063e-16
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+22 0 1 0 0 36 48 68 4.44089209850063e-16
+22 0 1 0 0 36 48 70 4.44089209850063e-16
+22 0 1 0 0 36 48 72 4.44089209850063e-16
+22 0 1 0 0 36 48 74 4.44089209850063e-16
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+22 0 1 0 0 36 48 78 4.44089209850063e-16
+22 0 1 0 0 36 48 80 4.44089209850063e-16
+22 0 1 0 0 36 48 82 4.44089209850063e-16
+22 0 1 0 0 36 48 84 4.44089209850063e-16
+22 0 1 0 0 36 48 86 4.44089209850063e-16
+22 0 1 0 0 36 48 88 4.44089209850063e-16
+22 0 1 0 0 36 48 90 4.44089209850063e-16
+22 0 1 0 0 36 48 92 4.44089209850063e-16
+22 0 1 0 0 36 48 94 4.44089209850063e-16
+22 0 1 0 0 36 48 96 4.44089209850063e-16
+22 0 1 0 0 36 48 98 4.44089209850063e-16
+22 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 4.44089209850063e-16
+23 0 2 0 0 36 48 52 4.44089209850063e-16
+23 0 2 0 0 36 48 53 4.44089209850063e-16
+23 0 2 0 0 36 48 54 4.44089209850063e-16
+23 0 2 0 0 36 48 55 4.44089209850063e-16
+23 0 2 0 0 36 48 56 4.44089209850063e-16
+23 0 2 0 0 36 48 57 4.44089209850063e-16
+23 0 2 0 0 36 48 58 4.44089209850063e-16
+23 0 2 0 0 36 48 59 4.44089209850063e-16
+23 0 2 0 0 36 48 60 4.44089209850063e-16
+23 0 2 0 0 36 48 61 4.44089209850063e-16
+23 0 2 0 0 36 48 62 4.44089209850063e-16
+23 0 2 0 0 36 48 63 4.44089209850063e-16
+23 0 2 0 0 36 48 64 4.44089209850063e-16
+23 0 2 0 0 36 48 65 4.44089209850063e-16
+23 0 2 0 0 36 48 66 4.44089209850063e-16
+23 0 2 0 0 36 48 67 4.44089209850063e-16
+23 0 2 0 0 36 48 68 4.44089209850063e-16
+23 0 2 0 0 36 48 69 4.44089209850063e-16
+23 0 2 0 0 36 48 70 4.44089209850063e-16
+23 0 2 0 0 36 48 71 4.44089209850063e-16
+23 0 2 0 0 36 48 72 4.44089209850063e-16
+23 0 2 0 0 36 48 73 4.44089209850063e-16
+23 0 2 0 0 36 48 74 4.44089209850063e-16
+23 0 2 0 0 36 48 75 4.44089209850063e-16
+23 0 2 0 0 36 48 76 4.44089209850063e-16
+23 0 2 0 0 36 48 77 4.44089209850063e-16
+23 0 2 0 0 36 48 78 4.44089209850063e-16
+23 0 2 0 0 36 48 79 4.44089209850063e-16
+23 0 2 0 0 36 48 80 4.44089209850063e-16
+23 0 2 0 0 36 48 81 4.44089209850063e-16
+23 0 2 0 0 36 48 82 4.44089209850063e-16
+23 0 2 0 0 36 48 83 4.44089209850063e-16
+23 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 4.44089209850063e-16
+24 0 2 0 0 36 48 52 4.44089209850063e-16
+24 0 2 0 0 36 48 53 4.44089209850063e-16
+24 0 2 0 0 36 48 54 4.44089209850063e-16
+24 0 2 0 0 36 48 55 4.44089209850063e-16
+24 0 2 0 0 36 48 56 4.44089209850063e-16
+24 0 2 0 0 36 48 57 4.44089209850063e-16
+24 0 2 0 0 36 48 58 4.44089209850063e-16
+24 0 2 0 0 36 48 59 4.44089209850063e-16
+24 0 2 0 0 36 48 60 4.44089209850063e-16
+24 0 2 0 0 36 48 61 4.44089209850063e-16
+24 0 2 0 0 36 48 62 4.44089209850063e-16
+24 0 2 0 0 36 48 63 4.44089209850063e-16
+24 0 2 0 0 36 48 64 4.44089209850063e-16
+24 0 2 0 0 36 48 65 4.44089209850063e-16
+24 0 2 0 0 36 48 66 4.44089209850063e-16
+24 0 2 0 0 36 48 67 4.44089209850063e-16
+24 0 2 0 0 36 48 68 4.44089209850063e-16
+24 0 2 0 0 36 48 69 4.44089209850063e-16
+24 0 2 0 0 36 48 70 4.44089209850063e-16
+24 0 2 0 0 36 48 71 4.44089209850063e-16
+24 0 2 0 0 36 48 72 4.44089209850063e-16
+24 0 2 0 0 36 48 73 4.44089209850063e-16
+24 0 2 0 0 36 48 74 4.44089209850063e-16
+24 0 2 0 0 36 48 75 4.44089209850063e-16
+24 0 2 0 0 36 48 76 4.44089209850063e-16
+24 0 2 0 0 36 48 77 4.44089209850063e-16
+24 0 2 0 0 36 48 78 4.44089209850063e-16
+24 0 2 0 0 36 48 79 4.44089209850063e-16
+24 0 2 0 0 36 48 80 4.44089209850063e-16
+24 0 2 0 0 36 48 81 4.44089209850063e-16
+24 0 2 0 0 36 48 82 4.44089209850063e-16
+24 0 2 0 0 36 48 83 4.44089209850063e-16
+24 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 4.44089209850063e-16
+24 0 1 0 0 36 48 36 4.44089209850063e-16
+24 0 1 0 0 36 48 38 4.44089209850063e-16
+24 0 1 0 0 36 48 40 4.44089209850063e-16
+24 0 1 0 0 36 48 42 4.44089209850063e-16
+24 0 1 0 0 36 48 44 4.44089209850063e-16
+24 0 1 0 0 36 48 46 4.44089209850063e-16
+24 0 1 0 0 36 48 48 4.44089209850063e-16
+24 0 1 0 0 36 48 50 4.44089209850063e-16
+24 0 1 0 0 36 48 52 4.44089209850063e-16
+24 0 1 0 0 36 48 54 4.44089209850063e-16
+24 0 1 0 0 36 48 56 4.44089209850063e-16
+24 0 1 0 0 36 48 58 4.44089209850063e-16
+24 0 1 0 0 36 48 60 4.44089209850063e-16
+24 0 1 0 0 36 48 62 4.44089209850063e-16
+24 0 1 0 0 36 48 64 4.44089209850063e-16
+24 0 1 0 0 36 48 66 4.44089209850063e-16
+24 0 1 0 0 36 48 68 4.44089209850063e-16
+24 0 1 0 0 36 48 70 4.44089209850063e-16
+24 0 1 0 0 36 48 72 4.44089209850063e-16
+24 0 1 0 0 36 48 74 4.44089209850063e-16
+24 0 1 0 0 36 48 76 4.44089209850063e-16
+24 0 1 0 0 36 48 78 4.44089209850063e-16
+24 0 1 0 0 36 48 80 4.44089209850063e-16
+24 0 1 0 0 36 48 82 4.44089209850063e-16
+24 0 1 0 0 36 48 84 4.44089209850063e-16
+24 0 1 0 0 36 48 86 4.44089209850063e-16
+24 0 1 0 0 36 48 88 4.44089209850063e-16
+24 0 1 0 0 36 48 90 4.44089209850063e-16
+24 0 1 0 0 36 48 92 4.44089209850063e-16
+24 0 1 0 0 36 48 94 4.44089209850063e-16
+24 0 1 0 0 36 48 96 4.44089209850063e-16
+24 0 1 0 0 36 48 98 4.44089209850063e-16
+24 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 4.44089209850063e-16
+24 0 0 0 0 36 48 4 4.44089209850063e-16
+24 0 0 0 0 36 48 8 4.44089209850063e-16
+24 0 0 0 0 36 48 12 4.44089209850063e-16
+24 0 0 0 0 36 48 16 4.44089209850063e-16
+24 0 0 0 0 36 48 20 4.44089209850063e-16
+24 0 0 0 0 36 48 24 4.44089209850063e-16
+24 0 0 0 0 36 48 28 4.44089209850063e-16
+24 0 0 0 0 36 48 32 4.44089209850063e-16
+24 0 0 0 0 36 48 36 4.44089209850063e-16
+24 0 0 0 0 36 48 40 4.44089209850063e-16
+24 0 0 0 0 36 48 44 4.44089209850063e-16
+24 0 0 0 0 36 48 48 4.44089209850063e-16
+24 0 0 0 0 36 48 52 4.44089209850063e-16
+24 0 0 0 0 36 48 56 4.44089209850063e-16
+24 0 0 0 0 36 48 60 4.44089209850063e-16
+24 0 0 0 0 36 48 64 4.44089209850063e-16
+24 0 0 0 0 36 48 68 4.44089209850063e-16
+24 0 0 0 0 36 48 72 4.44089209850063e-16
+24 0 0 0 0 36 48 76 4.44089209850063e-16
+24 0 0 0 0 36 48 80 4.44089209850063e-16
+24 0 0 0 0 36 48 84 4.44089209850063e-16
+24 0 0 0 0 36 48 88 4.44089209850063e-16
+24 0 0 0 0 36 48 92 4.44089209850063e-16
+24 0 0 0 0 36 48 96 4.44089209850063e-16
+24 0 0 0 0 36 48 100 4.44089209850063e-16
+24 0 0 0 0 36 48 104 4.44089209850063e-16
+24 0 0 0 0 36 48 108 4.44089209850063e-16
+24 0 0 0 0 36 48 112 4.44089209850063e-16
+24 0 0 0 0 36 48 116 4.44089209850063e-16
+24 0 0 0 0 36 48 120 4.44089209850063e-16
+24 0 0 0 0 36 48 124 4.44089209850063e-16
+24 0 0 0 0 36 48 128 4.44089209850063e-16
+24 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_y.xl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_y.xl
new file mode 100644
index 000000000..4954a39ff
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_y.xl
@@ -0,0 +1,1082 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 -4.44089209850063e-16
+0 0 2 0 0 28 48 64 -4.44089209850063e-16
+0 0 2 0 0 29 48 64 -4.44089209850063e-16
+0 0 2 0 0 30 48 64 -4.44089209850063e-16
+0 0 2 0 0 31 48 64 -4.44089209850063e-16
+0 0 2 0 0 32 48 64 -4.44089209850063e-16
+0 0 2 0 0 33 48 64 -4.44089209850063e-16
+0 0 2 0 0 34 48 64 -4.44089209850063e-16
+0 0 2 0 0 35 48 64 -4.44089209850063e-16
+0 0 2 0 0 36 48 64 -4.44089209850063e-16
+0 0 2 0 0 37 48 64 -4.44089209850063e-16
+0 0 2 0 0 38 48 64 -4.44089209850063e-16
+0 0 2 0 0 39 48 64 -4.44089209850063e-16
+0 0 2 0 0 40 48 64 -4.44089209850063e-16
+0 0 2 0 0 41 48 64 -4.44089209850063e-16
+0 0 2 0 0 42 48 64 -4.44089209850063e-16
+0 0 2 0 0 43 48 64 -4.44089209850063e-16
+0 0 2 0 0 44 48 64 -4.44089209850063e-16
+0 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -4.44089209850063e-16
+0 0 1 0 0 20 48 64 -4.44089209850063e-16
+0 0 1 0 0 22 48 64 -4.44089209850063e-16
+0 0 1 0 0 24 48 64 -4.44089209850063e-16
+0 0 1 0 0 26 48 64 -4.44089209850063e-16
+0 0 1 0 0 28 48 64 -4.44089209850063e-16
+0 0 1 0 0 30 48 64 -4.44089209850063e-16
+0 0 1 0 0 32 48 64 -4.44089209850063e-16
+0 0 1 0 0 34 48 64 -4.44089209850063e-16
+0 0 1 0 0 36 48 64 -4.44089209850063e-16
+0 0 1 0 0 38 48 64 -4.44089209850063e-16
+0 0 1 0 0 40 48 64 -4.44089209850063e-16
+0 0 1 0 0 42 48 64 -4.44089209850063e-16
+0 0 1 0 0 44 48 64 -4.44089209850063e-16
+0 0 1 0 0 46 48 64 -4.44089209850063e-16
+0 0 1 0 0 48 48 64 -4.44089209850063e-16
+0 0 1 0 0 50 48 64 -4.44089209850063e-16
+0 0 1 0 0 52 48 64 -4.44089209850063e-16
+0 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -4.44089209850063e-16
+0 0 0 0 0 4 48 64 -4.44089209850063e-16
+0 0 0 0 0 8 48 64 -4.44089209850063e-16
+0 0 0 0 0 12 48 64 -4.44089209850063e-16
+0 0 0 0 0 16 48 64 -4.44089209850063e-16
+0 0 0 0 0 20 48 64 -4.44089209850063e-16
+0 0 0 0 0 24 48 64 -4.44089209850063e-16
+0 0 0 0 0 28 48 64 -4.44089209850063e-16
+0 0 0 0 0 32 48 64 -4.44089209850063e-16
+0 0 0 0 0 36 48 64 -4.44089209850063e-16
+0 0 0 0 0 40 48 64 -4.44089209850063e-16
+0 0 0 0 0 44 48 64 -4.44089209850063e-16
+0 0 0 0 0 48 48 64 -4.44089209850063e-16
+0 0 0 0 0 52 48 64 -4.44089209850063e-16
+0 0 0 0 0 56 48 64 -4.44089209850063e-16
+0 0 0 0 0 60 48 64 -4.44089209850063e-16
+0 0 0 0 0 64 48 64 -4.44089209850063e-16
+0 0 0 0 0 68 48 64 -4.44089209850063e-16
+0 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 -4.44089209850063e-16
+1 0 2 0 0 28 48 64 -4.44089209850063e-16
+1 0 2 0 0 29 48 64 -4.44089209850063e-16
+1 0 2 0 0 30 48 64 -4.44089209850063e-16
+1 0 2 0 0 31 48 64 -4.44089209850063e-16
+1 0 2 0 0 32 48 64 -4.44089209850063e-16
+1 0 2 0 0 33 48 64 -4.44089209850063e-16
+1 0 2 0 0 34 48 64 -4.44089209850063e-16
+1 0 2 0 0 35 48 64 -4.44089209850063e-16
+1 0 2 0 0 36 48 64 -4.44089209850063e-16
+1 0 2 0 0 37 48 64 -4.44089209850063e-16
+1 0 2 0 0 38 48 64 -4.44089209850063e-16
+1 0 2 0 0 39 48 64 -4.44089209850063e-16
+1 0 2 0 0 40 48 64 -4.44089209850063e-16
+1 0 2 0 0 41 48 64 -4.44089209850063e-16
+1 0 2 0 0 42 48 64 -4.44089209850063e-16
+1 0 2 0 0 43 48 64 -4.44089209850063e-16
+1 0 2 0 0 44 48 64 -4.44089209850063e-16
+1 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 -4.44089209850063e-16
+2 0 2 0 0 28 48 64 -4.44089209850063e-16
+2 0 2 0 0 29 48 64 -4.44089209850063e-16
+2 0 2 0 0 30 48 64 -4.44089209850063e-16
+2 0 2 0 0 31 48 64 -4.44089209850063e-16
+2 0 2 0 0 32 48 64 -4.44089209850063e-16
+2 0 2 0 0 33 48 64 -4.44089209850063e-16
+2 0 2 0 0 34 48 64 -4.44089209850063e-16
+2 0 2 0 0 35 48 64 -4.44089209850063e-16
+2 0 2 0 0 36 48 64 -4.44089209850063e-16
+2 0 2 0 0 37 48 64 -4.44089209850063e-16
+2 0 2 0 0 38 48 64 -4.44089209850063e-16
+2 0 2 0 0 39 48 64 -4.44089209850063e-16
+2 0 2 0 0 40 48 64 -4.44089209850063e-16
+2 0 2 0 0 41 48 64 -4.44089209850063e-16
+2 0 2 0 0 42 48 64 -4.44089209850063e-16
+2 0 2 0 0 43 48 64 -4.44089209850063e-16
+2 0 2 0 0 44 48 64 -4.44089209850063e-16
+2 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -4.44089209850063e-16
+2 0 1 0 0 20 48 64 -4.44089209850063e-16
+2 0 1 0 0 22 48 64 -4.44089209850063e-16
+2 0 1 0 0 24 48 64 -4.44089209850063e-16
+2 0 1 0 0 26 48 64 -4.44089209850063e-16
+2 0 1 0 0 28 48 64 -4.44089209850063e-16
+2 0 1 0 0 30 48 64 -4.44089209850063e-16
+2 0 1 0 0 32 48 64 -4.44089209850063e-16
+2 0 1 0 0 34 48 64 -4.44089209850063e-16
+2 0 1 0 0 36 48 64 -4.44089209850063e-16
+2 0 1 0 0 38 48 64 -4.44089209850063e-16
+2 0 1 0 0 40 48 64 -4.44089209850063e-16
+2 0 1 0 0 42 48 64 -4.44089209850063e-16
+2 0 1 0 0 44 48 64 -4.44089209850063e-16
+2 0 1 0 0 46 48 64 -4.44089209850063e-16
+2 0 1 0 0 48 48 64 -4.44089209850063e-16
+2 0 1 0 0 50 48 64 -4.44089209850063e-16
+2 0 1 0 0 52 48 64 -4.44089209850063e-16
+2 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 -4.44089209850063e-16
+3 0 2 0 0 28 48 64 -4.44089209850063e-16
+3 0 2 0 0 29 48 64 -4.44089209850063e-16
+3 0 2 0 0 30 48 64 -4.44089209850063e-16
+3 0 2 0 0 31 48 64 -4.44089209850063e-16
+3 0 2 0 0 32 48 64 -4.44089209850063e-16
+3 0 2 0 0 33 48 64 -4.44089209850063e-16
+3 0 2 0 0 34 48 64 -4.44089209850063e-16
+3 0 2 0 0 35 48 64 -4.44089209850063e-16
+3 0 2 0 0 36 48 64 -4.44089209850063e-16
+3 0 2 0 0 37 48 64 -4.44089209850063e-16
+3 0 2 0 0 38 48 64 -4.44089209850063e-16
+3 0 2 0 0 39 48 64 -4.44089209850063e-16
+3 0 2 0 0 40 48 64 -4.44089209850063e-16
+3 0 2 0 0 41 48 64 -4.44089209850063e-16
+3 0 2 0 0 42 48 64 -4.44089209850063e-16
+3 0 2 0 0 43 48 64 -4.44089209850063e-16
+3 0 2 0 0 44 48 64 -4.44089209850063e-16
+3 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 -4.44089209850063e-16
+4 0 2 0 0 28 48 64 -4.44089209850063e-16
+4 0 2 0 0 29 48 64 -4.44089209850063e-16
+4 0 2 0 0 30 48 64 -4.44089209850063e-16
+4 0 2 0 0 31 48 64 -4.44089209850063e-16
+4 0 2 0 0 32 48 64 -4.44089209850063e-16
+4 0 2 0 0 33 48 64 -4.44089209850063e-16
+4 0 2 0 0 34 48 64 -4.44089209850063e-16
+4 0 2 0 0 35 48 64 -4.44089209850063e-16
+4 0 2 0 0 36 48 64 -4.44089209850063e-16
+4 0 2 0 0 37 48 64 -4.44089209850063e-16
+4 0 2 0 0 38 48 64 -4.44089209850063e-16
+4 0 2 0 0 39 48 64 -4.44089209850063e-16
+4 0 2 0 0 40 48 64 -4.44089209850063e-16
+4 0 2 0 0 41 48 64 -4.44089209850063e-16
+4 0 2 0 0 42 48 64 -4.44089209850063e-16
+4 0 2 0 0 43 48 64 -4.44089209850063e-16
+4 0 2 0 0 44 48 64 -4.44089209850063e-16
+4 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 -4.44089209850063e-16
+4 0 1 0 0 20 48 64 -4.44089209850063e-16
+4 0 1 0 0 22 48 64 -4.44089209850063e-16
+4 0 1 0 0 24 48 64 -4.44089209850063e-16
+4 0 1 0 0 26 48 64 -4.44089209850063e-16
+4 0 1 0 0 28 48 64 -4.44089209850063e-16
+4 0 1 0 0 30 48 64 -4.44089209850063e-16
+4 0 1 0 0 32 48 64 -4.44089209850063e-16
+4 0 1 0 0 34 48 64 -4.44089209850063e-16
+4 0 1 0 0 36 48 64 -4.44089209850063e-16
+4 0 1 0 0 38 48 64 -4.44089209850063e-16
+4 0 1 0 0 40 48 64 -4.44089209850063e-16
+4 0 1 0 0 42 48 64 -4.44089209850063e-16
+4 0 1 0 0 44 48 64 -4.44089209850063e-16
+4 0 1 0 0 46 48 64 -4.44089209850063e-16
+4 0 1 0 0 48 48 64 -4.44089209850063e-16
+4 0 1 0 0 50 48 64 -4.44089209850063e-16
+4 0 1 0 0 52 48 64 -4.44089209850063e-16
+4 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -4.44089209850063e-16
+4 0 0 0 0 4 48 64 -4.44089209850063e-16
+4 0 0 0 0 8 48 64 -4.44089209850063e-16
+4 0 0 0 0 12 48 64 -4.44089209850063e-16
+4 0 0 0 0 16 48 64 -4.44089209850063e-16
+4 0 0 0 0 20 48 64 -4.44089209850063e-16
+4 0 0 0 0 24 48 64 -4.44089209850063e-16
+4 0 0 0 0 28 48 64 -4.44089209850063e-16
+4 0 0 0 0 32 48 64 -4.44089209850063e-16
+4 0 0 0 0 36 48 64 -4.44089209850063e-16
+4 0 0 0 0 40 48 64 -4.44089209850063e-16
+4 0 0 0 0 44 48 64 -4.44089209850063e-16
+4 0 0 0 0 48 48 64 -4.44089209850063e-16
+4 0 0 0 0 52 48 64 -4.44089209850063e-16
+4 0 0 0 0 56 48 64 -4.44089209850063e-16
+4 0 0 0 0 60 48 64 -4.44089209850063e-16
+4 0 0 0 0 64 48 64 -4.44089209850063e-16
+4 0 0 0 0 68 48 64 -4.44089209850063e-16
+4 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 -4.44089209850063e-16
+5 0 2 0 0 28 48 64 -4.44089209850063e-16
+5 0 2 0 0 29 48 64 -4.44089209850063e-16
+5 0 2 0 0 30 48 64 -4.44089209850063e-16
+5 0 2 0 0 31 48 64 -4.44089209850063e-16
+5 0 2 0 0 32 48 64 -4.44089209850063e-16
+5 0 2 0 0 33 48 64 -4.44089209850063e-16
+5 0 2 0 0 34 48 64 -4.44089209850063e-16
+5 0 2 0 0 35 48 64 -4.44089209850063e-16
+5 0 2 0 0 36 48 64 -4.44089209850063e-16
+5 0 2 0 0 37 48 64 -4.44089209850063e-16
+5 0 2 0 0 38 48 64 -4.44089209850063e-16
+5 0 2 0 0 39 48 64 -4.44089209850063e-16
+5 0 2 0 0 40 48 64 -4.44089209850063e-16
+5 0 2 0 0 41 48 64 -4.44089209850063e-16
+5 0 2 0 0 42 48 64 -4.44089209850063e-16
+5 0 2 0 0 43 48 64 -4.44089209850063e-16
+5 0 2 0 0 44 48 64 -4.44089209850063e-16
+5 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 -4.44089209850063e-16
+6 0 2 0 0 28 48 64 -4.44089209850063e-16
+6 0 2 0 0 29 48 64 -4.44089209850063e-16
+6 0 2 0 0 30 48 64 -4.44089209850063e-16
+6 0 2 0 0 31 48 64 -4.44089209850063e-16
+6 0 2 0 0 32 48 64 -4.44089209850063e-16
+6 0 2 0 0 33 48 64 -4.44089209850063e-16
+6 0 2 0 0 34 48 64 -4.44089209850063e-16
+6 0 2 0 0 35 48 64 -4.44089209850063e-16
+6 0 2 0 0 36 48 64 -4.44089209850063e-16
+6 0 2 0 0 37 48 64 -4.44089209850063e-16
+6 0 2 0 0 38 48 64 -4.44089209850063e-16
+6 0 2 0 0 39 48 64 -4.44089209850063e-16
+6 0 2 0 0 40 48 64 -4.44089209850063e-16
+6 0 2 0 0 41 48 64 -4.44089209850063e-16
+6 0 2 0 0 42 48 64 -4.44089209850063e-16
+6 0 2 0 0 43 48 64 -4.44089209850063e-16
+6 0 2 0 0 44 48 64 -4.44089209850063e-16
+6 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 -4.44089209850063e-16
+6 0 1 0 0 20 48 64 -4.44089209850063e-16
+6 0 1 0 0 22 48 64 -4.44089209850063e-16
+6 0 1 0 0 24 48 64 -4.44089209850063e-16
+6 0 1 0 0 26 48 64 -4.44089209850063e-16
+6 0 1 0 0 28 48 64 -4.44089209850063e-16
+6 0 1 0 0 30 48 64 -4.44089209850063e-16
+6 0 1 0 0 32 48 64 -4.44089209850063e-16
+6 0 1 0 0 34 48 64 -4.44089209850063e-16
+6 0 1 0 0 36 48 64 -4.44089209850063e-16
+6 0 1 0 0 38 48 64 -4.44089209850063e-16
+6 0 1 0 0 40 48 64 -4.44089209850063e-16
+6 0 1 0 0 42 48 64 -4.44089209850063e-16
+6 0 1 0 0 44 48 64 -4.44089209850063e-16
+6 0 1 0 0 46 48 64 -4.44089209850063e-16
+6 0 1 0 0 48 48 64 -4.44089209850063e-16
+6 0 1 0 0 50 48 64 -4.44089209850063e-16
+6 0 1 0 0 52 48 64 -4.44089209850063e-16
+6 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 -4.44089209850063e-16
+7 0 2 0 0 28 48 64 -4.44089209850063e-16
+7 0 2 0 0 29 48 64 -4.44089209850063e-16
+7 0 2 0 0 30 48 64 -4.44089209850063e-16
+7 0 2 0 0 31 48 64 -4.44089209850063e-16
+7 0 2 0 0 32 48 64 -4.44089209850063e-16
+7 0 2 0 0 33 48 64 -4.44089209850063e-16
+7 0 2 0 0 34 48 64 -4.44089209850063e-16
+7 0 2 0 0 35 48 64 -4.44089209850063e-16
+7 0 2 0 0 36 48 64 -4.44089209850063e-16
+7 0 2 0 0 37 48 64 -4.44089209850063e-16
+7 0 2 0 0 38 48 64 -4.44089209850063e-16
+7 0 2 0 0 39 48 64 -4.44089209850063e-16
+7 0 2 0 0 40 48 64 -4.44089209850063e-16
+7 0 2 0 0 41 48 64 -4.44089209850063e-16
+7 0 2 0 0 42 48 64 -4.44089209850063e-16
+7 0 2 0 0 43 48 64 -4.44089209850063e-16
+7 0 2 0 0 44 48 64 -4.44089209850063e-16
+7 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 -4.44089209850063e-16
+8 0 2 0 0 28 48 64 -4.44089209850063e-16
+8 0 2 0 0 29 48 64 -4.44089209850063e-16
+8 0 2 0 0 30 48 64 -4.44089209850063e-16
+8 0 2 0 0 31 48 64 -4.44089209850063e-16
+8 0 2 0 0 32 48 64 -4.44089209850063e-16
+8 0 2 0 0 33 48 64 -4.44089209850063e-16
+8 0 2 0 0 34 48 64 -4.44089209850063e-16
+8 0 2 0 0 35 48 64 -4.44089209850063e-16
+8 0 2 0 0 36 48 64 -4.44089209850063e-16
+8 0 2 0 0 37 48 64 -4.44089209850063e-16
+8 0 2 0 0 38 48 64 -4.44089209850063e-16
+8 0 2 0 0 39 48 64 -4.44089209850063e-16
+8 0 2 0 0 40 48 64 -4.44089209850063e-16
+8 0 2 0 0 41 48 64 -4.44089209850063e-16
+8 0 2 0 0 42 48 64 -4.44089209850063e-16
+8 0 2 0 0 43 48 64 -4.44089209850063e-16
+8 0 2 0 0 44 48 64 -4.44089209850063e-16
+8 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 -4.44089209850063e-16
+8 0 1 0 0 20 48 64 -4.44089209850063e-16
+8 0 1 0 0 22 48 64 -4.44089209850063e-16
+8 0 1 0 0 24 48 64 -4.44089209850063e-16
+8 0 1 0 0 26 48 64 -4.44089209850063e-16
+8 0 1 0 0 28 48 64 -4.44089209850063e-16
+8 0 1 0 0 30 48 64 -4.44089209850063e-16
+8 0 1 0 0 32 48 64 -4.44089209850063e-16
+8 0 1 0 0 34 48 64 -4.44089209850063e-16
+8 0 1 0 0 36 48 64 -4.44089209850063e-16
+8 0 1 0 0 38 48 64 -4.44089209850063e-16
+8 0 1 0 0 40 48 64 -4.44089209850063e-16
+8 0 1 0 0 42 48 64 -4.44089209850063e-16
+8 0 1 0 0 44 48 64 -4.44089209850063e-16
+8 0 1 0 0 46 48 64 -4.44089209850063e-16
+8 0 1 0 0 48 48 64 -4.44089209850063e-16
+8 0 1 0 0 50 48 64 -4.44089209850063e-16
+8 0 1 0 0 52 48 64 -4.44089209850063e-16
+8 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -4.44089209850063e-16
+8 0 0 0 0 4 48 64 -4.44089209850063e-16
+8 0 0 0 0 8 48 64 -4.44089209850063e-16
+8 0 0 0 0 12 48 64 -4.44089209850063e-16
+8 0 0 0 0 16 48 64 -4.44089209850063e-16
+8 0 0 0 0 20 48 64 -4.44089209850063e-16
+8 0 0 0 0 24 48 64 -4.44089209850063e-16
+8 0 0 0 0 28 48 64 -4.44089209850063e-16
+8 0 0 0 0 32 48 64 -4.44089209850063e-16
+8 0 0 0 0 36 48 64 -4.44089209850063e-16
+8 0 0 0 0 40 48 64 -4.44089209850063e-16
+8 0 0 0 0 44 48 64 -4.44089209850063e-16
+8 0 0 0 0 48 48 64 -4.44089209850063e-16
+8 0 0 0 0 52 48 64 -4.44089209850063e-16
+8 0 0 0 0 56 48 64 -4.44089209850063e-16
+8 0 0 0 0 60 48 64 -4.44089209850063e-16
+8 0 0 0 0 64 48 64 -4.44089209850063e-16
+8 0 0 0 0 68 48 64 -4.44089209850063e-16
+8 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 -4.44089209850063e-16
+9 0 2 0 0 28 48 64 -4.44089209850063e-16
+9 0 2 0 0 29 48 64 -4.44089209850063e-16
+9 0 2 0 0 30 48 64 -4.44089209850063e-16
+9 0 2 0 0 31 48 64 -4.44089209850063e-16
+9 0 2 0 0 32 48 64 -4.44089209850063e-16
+9 0 2 0 0 33 48 64 -4.44089209850063e-16
+9 0 2 0 0 34 48 64 -4.44089209850063e-16
+9 0 2 0 0 35 48 64 -4.44089209850063e-16
+9 0 2 0 0 36 48 64 -4.44089209850063e-16
+9 0 2 0 0 37 48 64 -4.44089209850063e-16
+9 0 2 0 0 38 48 64 -4.44089209850063e-16
+9 0 2 0 0 39 48 64 -4.44089209850063e-16
+9 0 2 0 0 40 48 64 -4.44089209850063e-16
+9 0 2 0 0 41 48 64 -4.44089209850063e-16
+9 0 2 0 0 42 48 64 -4.44089209850063e-16
+9 0 2 0 0 43 48 64 -4.44089209850063e-16
+9 0 2 0 0 44 48 64 -4.44089209850063e-16
+9 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 -4.44089209850063e-16
+10 0 2 0 0 28 48 64 -4.44089209850063e-16
+10 0 2 0 0 29 48 64 -4.44089209850063e-16
+10 0 2 0 0 30 48 64 -4.44089209850063e-16
+10 0 2 0 0 31 48 64 -4.44089209850063e-16
+10 0 2 0 0 32 48 64 -4.44089209850063e-16
+10 0 2 0 0 33 48 64 -4.44089209850063e-16
+10 0 2 0 0 34 48 64 -4.44089209850063e-16
+10 0 2 0 0 35 48 64 -4.44089209850063e-16
+10 0 2 0 0 36 48 64 -4.44089209850063e-16
+10 0 2 0 0 37 48 64 -4.44089209850063e-16
+10 0 2 0 0 38 48 64 -4.44089209850063e-16
+10 0 2 0 0 39 48 64 -4.44089209850063e-16
+10 0 2 0 0 40 48 64 -4.44089209850063e-16
+10 0 2 0 0 41 48 64 -4.44089209850063e-16
+10 0 2 0 0 42 48 64 -4.44089209850063e-16
+10 0 2 0 0 43 48 64 -4.44089209850063e-16
+10 0 2 0 0 44 48 64 -4.44089209850063e-16
+10 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 -4.44089209850063e-16
+10 0 1 0 0 20 48 64 -4.44089209850063e-16
+10 0 1 0 0 22 48 64 -4.44089209850063e-16
+10 0 1 0 0 24 48 64 -4.44089209850063e-16
+10 0 1 0 0 26 48 64 -4.44089209850063e-16
+10 0 1 0 0 28 48 64 -4.44089209850063e-16
+10 0 1 0 0 30 48 64 -4.44089209850063e-16
+10 0 1 0 0 32 48 64 -4.44089209850063e-16
+10 0 1 0 0 34 48 64 -4.44089209850063e-16
+10 0 1 0 0 36 48 64 -4.44089209850063e-16
+10 0 1 0 0 38 48 64 -4.44089209850063e-16
+10 0 1 0 0 40 48 64 -4.44089209850063e-16
+10 0 1 0 0 42 48 64 -4.44089209850063e-16
+10 0 1 0 0 44 48 64 -4.44089209850063e-16
+10 0 1 0 0 46 48 64 -4.44089209850063e-16
+10 0 1 0 0 48 48 64 -4.44089209850063e-16
+10 0 1 0 0 50 48 64 -4.44089209850063e-16
+10 0 1 0 0 52 48 64 -4.44089209850063e-16
+10 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 -4.44089209850063e-16
+11 0 2 0 0 28 48 64 -4.44089209850063e-16
+11 0 2 0 0 29 48 64 -4.44089209850063e-16
+11 0 2 0 0 30 48 64 -4.44089209850063e-16
+11 0 2 0 0 31 48 64 -4.44089209850063e-16
+11 0 2 0 0 32 48 64 -4.44089209850063e-16
+11 0 2 0 0 33 48 64 -4.44089209850063e-16
+11 0 2 0 0 34 48 64 -4.44089209850063e-16
+11 0 2 0 0 35 48 64 -4.44089209850063e-16
+11 0 2 0 0 36 48 64 -4.44089209850063e-16
+11 0 2 0 0 37 48 64 -4.44089209850063e-16
+11 0 2 0 0 38 48 64 -4.44089209850063e-16
+11 0 2 0 0 39 48 64 -4.44089209850063e-16
+11 0 2 0 0 40 48 64 -4.44089209850063e-16
+11 0 2 0 0 41 48 64 -4.44089209850063e-16
+11 0 2 0 0 42 48 64 -4.44089209850063e-16
+11 0 2 0 0 43 48 64 -4.44089209850063e-16
+11 0 2 0 0 44 48 64 -4.44089209850063e-16
+11 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 -4.44089209850063e-16
+12 0 2 0 0 28 48 64 -4.44089209850063e-16
+12 0 2 0 0 29 48 64 -4.44089209850063e-16
+12 0 2 0 0 30 48 64 -4.44089209850063e-16
+12 0 2 0 0 31 48 64 -4.44089209850063e-16
+12 0 2 0 0 32 48 64 -4.44089209850063e-16
+12 0 2 0 0 33 48 64 -4.44089209850063e-16
+12 0 2 0 0 34 48 64 -4.44089209850063e-16
+12 0 2 0 0 35 48 64 -4.44089209850063e-16
+12 0 2 0 0 36 48 64 -4.44089209850063e-16
+12 0 2 0 0 37 48 64 -4.44089209850063e-16
+12 0 2 0 0 38 48 64 -4.44089209850063e-16
+12 0 2 0 0 39 48 64 -4.44089209850063e-16
+12 0 2 0 0 40 48 64 -4.44089209850063e-16
+12 0 2 0 0 41 48 64 -4.44089209850063e-16
+12 0 2 0 0 42 48 64 -4.44089209850063e-16
+12 0 2 0 0 43 48 64 -4.44089209850063e-16
+12 0 2 0 0 44 48 64 -4.44089209850063e-16
+12 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 -4.44089209850063e-16
+12 0 1 0 0 20 48 64 -4.44089209850063e-16
+12 0 1 0 0 22 48 64 -4.44089209850063e-16
+12 0 1 0 0 24 48 64 -4.44089209850063e-16
+12 0 1 0 0 26 48 64 -4.44089209850063e-16
+12 0 1 0 0 28 48 64 -4.44089209850063e-16
+12 0 1 0 0 30 48 64 -4.44089209850063e-16
+12 0 1 0 0 32 48 64 -4.44089209850063e-16
+12 0 1 0 0 34 48 64 -4.44089209850063e-16
+12 0 1 0 0 36 48 64 -4.44089209850063e-16
+12 0 1 0 0 38 48 64 -4.44089209850063e-16
+12 0 1 0 0 40 48 64 -4.44089209850063e-16
+12 0 1 0 0 42 48 64 -4.44089209850063e-16
+12 0 1 0 0 44 48 64 -4.44089209850063e-16
+12 0 1 0 0 46 48 64 -4.44089209850063e-16
+12 0 1 0 0 48 48 64 -4.44089209850063e-16
+12 0 1 0 0 50 48 64 -4.44089209850063e-16
+12 0 1 0 0 52 48 64 -4.44089209850063e-16
+12 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -4.44089209850063e-16
+12 0 0 0 0 4 48 64 -4.44089209850063e-16
+12 0 0 0 0 8 48 64 -4.44089209850063e-16
+12 0 0 0 0 12 48 64 -4.44089209850063e-16
+12 0 0 0 0 16 48 64 -4.44089209850063e-16
+12 0 0 0 0 20 48 64 -4.44089209850063e-16
+12 0 0 0 0 24 48 64 -4.44089209850063e-16
+12 0 0 0 0 28 48 64 -4.44089209850063e-16
+12 0 0 0 0 32 48 64 -4.44089209850063e-16
+12 0 0 0 0 36 48 64 -4.44089209850063e-16
+12 0 0 0 0 40 48 64 -4.44089209850063e-16
+12 0 0 0 0 44 48 64 -4.44089209850063e-16
+12 0 0 0 0 48 48 64 -4.44089209850063e-16
+12 0 0 0 0 52 48 64 -4.44089209850063e-16
+12 0 0 0 0 56 48 64 -4.44089209850063e-16
+12 0 0 0 0 60 48 64 -4.44089209850063e-16
+12 0 0 0 0 64 48 64 -4.44089209850063e-16
+12 0 0 0 0 68 48 64 -4.44089209850063e-16
+12 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 -4.44089209850063e-16
+13 0 2 0 0 28 48 64 -4.44089209850063e-16
+13 0 2 0 0 29 48 64 -4.44089209850063e-16
+13 0 2 0 0 30 48 64 -4.44089209850063e-16
+13 0 2 0 0 31 48 64 -4.44089209850063e-16
+13 0 2 0 0 32 48 64 -4.44089209850063e-16
+13 0 2 0 0 33 48 64 -4.44089209850063e-16
+13 0 2 0 0 34 48 64 -4.44089209850063e-16
+13 0 2 0 0 35 48 64 -4.44089209850063e-16
+13 0 2 0 0 36 48 64 -4.44089209850063e-16
+13 0 2 0 0 37 48 64 -4.44089209850063e-16
+13 0 2 0 0 38 48 64 -4.44089209850063e-16
+13 0 2 0 0 39 48 64 -4.44089209850063e-16
+13 0 2 0 0 40 48 64 -4.44089209850063e-16
+13 0 2 0 0 41 48 64 -4.44089209850063e-16
+13 0 2 0 0 42 48 64 -4.44089209850063e-16
+13 0 2 0 0 43 48 64 -4.44089209850063e-16
+13 0 2 0 0 44 48 64 -4.44089209850063e-16
+13 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 -4.44089209850063e-16
+14 0 2 0 0 28 48 64 -4.44089209850063e-16
+14 0 2 0 0 29 48 64 -4.44089209850063e-16
+14 0 2 0 0 30 48 64 -4.44089209850063e-16
+14 0 2 0 0 31 48 64 -4.44089209850063e-16
+14 0 2 0 0 32 48 64 -4.44089209850063e-16
+14 0 2 0 0 33 48 64 -4.44089209850063e-16
+14 0 2 0 0 34 48 64 -4.44089209850063e-16
+14 0 2 0 0 35 48 64 -4.44089209850063e-16
+14 0 2 0 0 36 48 64 -4.44089209850063e-16
+14 0 2 0 0 37 48 64 -4.44089209850063e-16
+14 0 2 0 0 38 48 64 -4.44089209850063e-16
+14 0 2 0 0 39 48 64 -4.44089209850063e-16
+14 0 2 0 0 40 48 64 -4.44089209850063e-16
+14 0 2 0 0 41 48 64 -4.44089209850063e-16
+14 0 2 0 0 42 48 64 -4.44089209850063e-16
+14 0 2 0 0 43 48 64 -4.44089209850063e-16
+14 0 2 0 0 44 48 64 -4.44089209850063e-16
+14 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 -4.44089209850063e-16
+14 0 1 0 0 20 48 64 -4.44089209850063e-16
+14 0 1 0 0 22 48 64 -4.44089209850063e-16
+14 0 1 0 0 24 48 64 -4.44089209850063e-16
+14 0 1 0 0 26 48 64 -4.44089209850063e-16
+14 0 1 0 0 28 48 64 -4.44089209850063e-16
+14 0 1 0 0 30 48 64 -4.44089209850063e-16
+14 0 1 0 0 32 48 64 -4.44089209850063e-16
+14 0 1 0 0 34 48 64 -4.44089209850063e-16
+14 0 1 0 0 36 48 64 -4.44089209850063e-16
+14 0 1 0 0 38 48 64 -4.44089209850063e-16
+14 0 1 0 0 40 48 64 -4.44089209850063e-16
+14 0 1 0 0 42 48 64 -4.44089209850063e-16
+14 0 1 0 0 44 48 64 -4.44089209850063e-16
+14 0 1 0 0 46 48 64 -4.44089209850063e-16
+14 0 1 0 0 48 48 64 -4.44089209850063e-16
+14 0 1 0 0 50 48 64 -4.44089209850063e-16
+14 0 1 0 0 52 48 64 -4.44089209850063e-16
+14 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 -4.44089209850063e-16
+15 0 2 0 0 28 48 64 -4.44089209850063e-16
+15 0 2 0 0 29 48 64 -4.44089209850063e-16
+15 0 2 0 0 30 48 64 -4.44089209850063e-16
+15 0 2 0 0 31 48 64 -4.44089209850063e-16
+15 0 2 0 0 32 48 64 -4.44089209850063e-16
+15 0 2 0 0 33 48 64 -4.44089209850063e-16
+15 0 2 0 0 34 48 64 -4.44089209850063e-16
+15 0 2 0 0 35 48 64 -4.44089209850063e-16
+15 0 2 0 0 36 48 64 -4.44089209850063e-16
+15 0 2 0 0 37 48 64 -4.44089209850063e-16
+15 0 2 0 0 38 48 64 -4.44089209850063e-16
+15 0 2 0 0 39 48 64 -4.44089209850063e-16
+15 0 2 0 0 40 48 64 -4.44089209850063e-16
+15 0 2 0 0 41 48 64 -4.44089209850063e-16
+15 0 2 0 0 42 48 64 -4.44089209850063e-16
+15 0 2 0 0 43 48 64 -4.44089209850063e-16
+15 0 2 0 0 44 48 64 -4.44089209850063e-16
+15 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 -4.44089209850063e-16
+16 0 2 0 0 28 48 64 -4.44089209850063e-16
+16 0 2 0 0 29 48 64 -4.44089209850063e-16
+16 0 2 0 0 30 48 64 -4.44089209850063e-16
+16 0 2 0 0 31 48 64 -4.44089209850063e-16
+16 0 2 0 0 32 48 64 -4.44089209850063e-16
+16 0 2 0 0 33 48 64 -4.44089209850063e-16
+16 0 2 0 0 34 48 64 -4.44089209850063e-16
+16 0 2 0 0 35 48 64 -4.44089209850063e-16
+16 0 2 0 0 36 48 64 -4.44089209850063e-16
+16 0 2 0 0 37 48 64 -4.44089209850063e-16
+16 0 2 0 0 38 48 64 -4.44089209850063e-16
+16 0 2 0 0 39 48 64 -4.44089209850063e-16
+16 0 2 0 0 40 48 64 -4.44089209850063e-16
+16 0 2 0 0 41 48 64 -4.44089209850063e-16
+16 0 2 0 0 42 48 64 -4.44089209850063e-16
+16 0 2 0 0 43 48 64 -4.44089209850063e-16
+16 0 2 0 0 44 48 64 -4.44089209850063e-16
+16 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 -4.44089209850063e-16
+16 0 1 0 0 20 48 64 -4.44089209850063e-16
+16 0 1 0 0 22 48 64 -4.44089209850063e-16
+16 0 1 0 0 24 48 64 -4.44089209850063e-16
+16 0 1 0 0 26 48 64 -4.44089209850063e-16
+16 0 1 0 0 28 48 64 -4.44089209850063e-16
+16 0 1 0 0 30 48 64 -4.44089209850063e-16
+16 0 1 0 0 32 48 64 -4.44089209850063e-16
+16 0 1 0 0 34 48 64 -4.44089209850063e-16
+16 0 1 0 0 36 48 64 -4.44089209850063e-16
+16 0 1 0 0 38 48 64 -4.44089209850063e-16
+16 0 1 0 0 40 48 64 -4.44089209850063e-16
+16 0 1 0 0 42 48 64 -4.44089209850063e-16
+16 0 1 0 0 44 48 64 -4.44089209850063e-16
+16 0 1 0 0 46 48 64 -4.44089209850063e-16
+16 0 1 0 0 48 48 64 -4.44089209850063e-16
+16 0 1 0 0 50 48 64 -4.44089209850063e-16
+16 0 1 0 0 52 48 64 -4.44089209850063e-16
+16 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -4.44089209850063e-16
+16 0 0 0 0 4 48 64 -4.44089209850063e-16
+16 0 0 0 0 8 48 64 -4.44089209850063e-16
+16 0 0 0 0 12 48 64 -4.44089209850063e-16
+16 0 0 0 0 16 48 64 -4.44089209850063e-16
+16 0 0 0 0 20 48 64 -4.44089209850063e-16
+16 0 0 0 0 24 48 64 -4.44089209850063e-16
+16 0 0 0 0 28 48 64 -4.44089209850063e-16
+16 0 0 0 0 32 48 64 -4.44089209850063e-16
+16 0 0 0 0 36 48 64 -4.44089209850063e-16
+16 0 0 0 0 40 48 64 -4.44089209850063e-16
+16 0 0 0 0 44 48 64 -4.44089209850063e-16
+16 0 0 0 0 48 48 64 -4.44089209850063e-16
+16 0 0 0 0 52 48 64 -4.44089209850063e-16
+16 0 0 0 0 56 48 64 -4.44089209850063e-16
+16 0 0 0 0 60 48 64 -4.44089209850063e-16
+16 0 0 0 0 64 48 64 -4.44089209850063e-16
+16 0 0 0 0 68 48 64 -4.44089209850063e-16
+16 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 -4.44089209850063e-16
+17 0 2 0 0 28 48 64 -4.44089209850063e-16
+17 0 2 0 0 29 48 64 -4.44089209850063e-16
+17 0 2 0 0 30 48 64 -4.44089209850063e-16
+17 0 2 0 0 31 48 64 -4.44089209850063e-16
+17 0 2 0 0 32 48 64 -4.44089209850063e-16
+17 0 2 0 0 33 48 64 -4.44089209850063e-16
+17 0 2 0 0 34 48 64 -4.44089209850063e-16
+17 0 2 0 0 35 48 64 -4.44089209850063e-16
+17 0 2 0 0 36 48 64 -4.44089209850063e-16
+17 0 2 0 0 37 48 64 -4.44089209850063e-16
+17 0 2 0 0 38 48 64 -4.44089209850063e-16
+17 0 2 0 0 39 48 64 -4.44089209850063e-16
+17 0 2 0 0 40 48 64 -4.44089209850063e-16
+17 0 2 0 0 41 48 64 -4.44089209850063e-16
+17 0 2 0 0 42 48 64 -4.44089209850063e-16
+17 0 2 0 0 43 48 64 -4.44089209850063e-16
+17 0 2 0 0 44 48 64 -4.44089209850063e-16
+17 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 -4.44089209850063e-16
+18 0 2 0 0 28 48 64 -4.44089209850063e-16
+18 0 2 0 0 29 48 64 -4.44089209850063e-16
+18 0 2 0 0 30 48 64 -4.44089209850063e-16
+18 0 2 0 0 31 48 64 -4.44089209850063e-16
+18 0 2 0 0 32 48 64 -4.44089209850063e-16
+18 0 2 0 0 33 48 64 -4.44089209850063e-16
+18 0 2 0 0 34 48 64 -4.44089209850063e-16
+18 0 2 0 0 35 48 64 -4.44089209850063e-16
+18 0 2 0 0 36 48 64 -4.44089209850063e-16
+18 0 2 0 0 37 48 64 -4.44089209850063e-16
+18 0 2 0 0 38 48 64 -4.44089209850063e-16
+18 0 2 0 0 39 48 64 -4.44089209850063e-16
+18 0 2 0 0 40 48 64 -4.44089209850063e-16
+18 0 2 0 0 41 48 64 -4.44089209850063e-16
+18 0 2 0 0 42 48 64 -4.44089209850063e-16
+18 0 2 0 0 43 48 64 -4.44089209850063e-16
+18 0 2 0 0 44 48 64 -4.44089209850063e-16
+18 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 -4.44089209850063e-16
+18 0 1 0 0 20 48 64 -4.44089209850063e-16
+18 0 1 0 0 22 48 64 -4.44089209850063e-16
+18 0 1 0 0 24 48 64 -4.44089209850063e-16
+18 0 1 0 0 26 48 64 -4.44089209850063e-16
+18 0 1 0 0 28 48 64 -4.44089209850063e-16
+18 0 1 0 0 30 48 64 -4.44089209850063e-16
+18 0 1 0 0 32 48 64 -4.44089209850063e-16
+18 0 1 0 0 34 48 64 -4.44089209850063e-16
+18 0 1 0 0 36 48 64 -4.44089209850063e-16
+18 0 1 0 0 38 48 64 -4.44089209850063e-16
+18 0 1 0 0 40 48 64 -4.44089209850063e-16
+18 0 1 0 0 42 48 64 -4.44089209850063e-16
+18 0 1 0 0 44 48 64 -4.44089209850063e-16
+18 0 1 0 0 46 48 64 -4.44089209850063e-16
+18 0 1 0 0 48 48 64 -4.44089209850063e-16
+18 0 1 0 0 50 48 64 -4.44089209850063e-16
+18 0 1 0 0 52 48 64 -4.44089209850063e-16
+18 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 -4.44089209850063e-16
+19 0 2 0 0 28 48 64 -4.44089209850063e-16
+19 0 2 0 0 29 48 64 -4.44089209850063e-16
+19 0 2 0 0 30 48 64 -4.44089209850063e-16
+19 0 2 0 0 31 48 64 -4.44089209850063e-16
+19 0 2 0 0 32 48 64 -4.44089209850063e-16
+19 0 2 0 0 33 48 64 -4.44089209850063e-16
+19 0 2 0 0 34 48 64 -4.44089209850063e-16
+19 0 2 0 0 35 48 64 -4.44089209850063e-16
+19 0 2 0 0 36 48 64 -4.44089209850063e-16
+19 0 2 0 0 37 48 64 -4.44089209850063e-16
+19 0 2 0 0 38 48 64 -4.44089209850063e-16
+19 0 2 0 0 39 48 64 -4.44089209850063e-16
+19 0 2 0 0 40 48 64 -4.44089209850063e-16
+19 0 2 0 0 41 48 64 -4.44089209850063e-16
+19 0 2 0 0 42 48 64 -4.44089209850063e-16
+19 0 2 0 0 43 48 64 -4.44089209850063e-16
+19 0 2 0 0 44 48 64 -4.44089209850063e-16
+19 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 -4.44089209850063e-16
+20 0 2 0 0 28 48 64 -4.44089209850063e-16
+20 0 2 0 0 29 48 64 -4.44089209850063e-16
+20 0 2 0 0 30 48 64 -4.44089209850063e-16
+20 0 2 0 0 31 48 64 -4.44089209850063e-16
+20 0 2 0 0 32 48 64 -4.44089209850063e-16
+20 0 2 0 0 33 48 64 -4.44089209850063e-16
+20 0 2 0 0 34 48 64 -4.44089209850063e-16
+20 0 2 0 0 35 48 64 -4.44089209850063e-16
+20 0 2 0 0 36 48 64 -4.44089209850063e-16
+20 0 2 0 0 37 48 64 -4.44089209850063e-16
+20 0 2 0 0 38 48 64 -4.44089209850063e-16
+20 0 2 0 0 39 48 64 -4.44089209850063e-16
+20 0 2 0 0 40 48 64 -4.44089209850063e-16
+20 0 2 0 0 41 48 64 -4.44089209850063e-16
+20 0 2 0 0 42 48 64 -4.44089209850063e-16
+20 0 2 0 0 43 48 64 -4.44089209850063e-16
+20 0 2 0 0 44 48 64 -4.44089209850063e-16
+20 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 -4.44089209850063e-16
+20 0 1 0 0 20 48 64 -4.44089209850063e-16
+20 0 1 0 0 22 48 64 -4.44089209850063e-16
+20 0 1 0 0 24 48 64 -4.44089209850063e-16
+20 0 1 0 0 26 48 64 -4.44089209850063e-16
+20 0 1 0 0 28 48 64 -4.44089209850063e-16
+20 0 1 0 0 30 48 64 -4.44089209850063e-16
+20 0 1 0 0 32 48 64 -4.44089209850063e-16
+20 0 1 0 0 34 48 64 -4.44089209850063e-16
+20 0 1 0 0 36 48 64 -4.44089209850063e-16
+20 0 1 0 0 38 48 64 -4.44089209850063e-16
+20 0 1 0 0 40 48 64 -4.44089209850063e-16
+20 0 1 0 0 42 48 64 -4.44089209850063e-16
+20 0 1 0 0 44 48 64 -4.44089209850063e-16
+20 0 1 0 0 46 48 64 -4.44089209850063e-16
+20 0 1 0 0 48 48 64 -4.44089209850063e-16
+20 0 1 0 0 50 48 64 -4.44089209850063e-16
+20 0 1 0 0 52 48 64 -4.44089209850063e-16
+20 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -4.44089209850063e-16
+20 0 0 0 0 4 48 64 -4.44089209850063e-16
+20 0 0 0 0 8 48 64 -4.44089209850063e-16
+20 0 0 0 0 12 48 64 -4.44089209850063e-16
+20 0 0 0 0 16 48 64 -4.44089209850063e-16
+20 0 0 0 0 20 48 64 -4.44089209850063e-16
+20 0 0 0 0 24 48 64 -4.44089209850063e-16
+20 0 0 0 0 28 48 64 -4.44089209850063e-16
+20 0 0 0 0 32 48 64 -4.44089209850063e-16
+20 0 0 0 0 36 48 64 -4.44089209850063e-16
+20 0 0 0 0 40 48 64 -4.44089209850063e-16
+20 0 0 0 0 44 48 64 -4.44089209850063e-16
+20 0 0 0 0 48 48 64 -4.44089209850063e-16
+20 0 0 0 0 52 48 64 -4.44089209850063e-16
+20 0 0 0 0 56 48 64 -4.44089209850063e-16
+20 0 0 0 0 60 48 64 -4.44089209850063e-16
+20 0 0 0 0 64 48 64 -4.44089209850063e-16
+20 0 0 0 0 68 48 64 -4.44089209850063e-16
+20 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 -4.44089209850063e-16
+21 0 2 0 0 28 48 64 -4.44089209850063e-16
+21 0 2 0 0 29 48 64 -4.44089209850063e-16
+21 0 2 0 0 30 48 64 -4.44089209850063e-16
+21 0 2 0 0 31 48 64 -4.44089209850063e-16
+21 0 2 0 0 32 48 64 -4.44089209850063e-16
+21 0 2 0 0 33 48 64 -4.44089209850063e-16
+21 0 2 0 0 34 48 64 -4.44089209850063e-16
+21 0 2 0 0 35 48 64 -4.44089209850063e-16
+21 0 2 0 0 36 48 64 -4.44089209850063e-16
+21 0 2 0 0 37 48 64 -4.44089209850063e-16
+21 0 2 0 0 38 48 64 -4.44089209850063e-16
+21 0 2 0 0 39 48 64 -4.44089209850063e-16
+21 0 2 0 0 40 48 64 -4.44089209850063e-16
+21 0 2 0 0 41 48 64 -4.44089209850063e-16
+21 0 2 0 0 42 48 64 -4.44089209850063e-16
+21 0 2 0 0 43 48 64 -4.44089209850063e-16
+21 0 2 0 0 44 48 64 -4.44089209850063e-16
+21 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 -4.44089209850063e-16
+22 0 2 0 0 28 48 64 -4.44089209850063e-16
+22 0 2 0 0 29 48 64 -4.44089209850063e-16
+22 0 2 0 0 30 48 64 -4.44089209850063e-16
+22 0 2 0 0 31 48 64 -4.44089209850063e-16
+22 0 2 0 0 32 48 64 -4.44089209850063e-16
+22 0 2 0 0 33 48 64 -4.44089209850063e-16
+22 0 2 0 0 34 48 64 -4.44089209850063e-16
+22 0 2 0 0 35 48 64 -4.44089209850063e-16
+22 0 2 0 0 36 48 64 -4.44089209850063e-16
+22 0 2 0 0 37 48 64 -4.44089209850063e-16
+22 0 2 0 0 38 48 64 -4.44089209850063e-16
+22 0 2 0 0 39 48 64 -4.44089209850063e-16
+22 0 2 0 0 40 48 64 -4.44089209850063e-16
+22 0 2 0 0 41 48 64 -4.44089209850063e-16
+22 0 2 0 0 42 48 64 -4.44089209850063e-16
+22 0 2 0 0 43 48 64 -4.44089209850063e-16
+22 0 2 0 0 44 48 64 -4.44089209850063e-16
+22 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 -4.44089209850063e-16
+22 0 1 0 0 20 48 64 -4.44089209850063e-16
+22 0 1 0 0 22 48 64 -4.44089209850063e-16
+22 0 1 0 0 24 48 64 -4.44089209850063e-16
+22 0 1 0 0 26 48 64 -4.44089209850063e-16
+22 0 1 0 0 28 48 64 -4.44089209850063e-16
+22 0 1 0 0 30 48 64 -4.44089209850063e-16
+22 0 1 0 0 32 48 64 -4.44089209850063e-16
+22 0 1 0 0 34 48 64 -4.44089209850063e-16
+22 0 1 0 0 36 48 64 -4.44089209850063e-16
+22 0 1 0 0 38 48 64 -4.44089209850063e-16
+22 0 1 0 0 40 48 64 -4.44089209850063e-16
+22 0 1 0 0 42 48 64 -4.44089209850063e-16
+22 0 1 0 0 44 48 64 -4.44089209850063e-16
+22 0 1 0 0 46 48 64 -4.44089209850063e-16
+22 0 1 0 0 48 48 64 -4.44089209850063e-16
+22 0 1 0 0 50 48 64 -4.44089209850063e-16
+22 0 1 0 0 52 48 64 -4.44089209850063e-16
+22 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 -4.44089209850063e-16
+23 0 2 0 0 28 48 64 -4.44089209850063e-16
+23 0 2 0 0 29 48 64 -4.44089209850063e-16
+23 0 2 0 0 30 48 64 -4.44089209850063e-16
+23 0 2 0 0 31 48 64 -4.44089209850063e-16
+23 0 2 0 0 32 48 64 -4.44089209850063e-16
+23 0 2 0 0 33 48 64 -4.44089209850063e-16
+23 0 2 0 0 34 48 64 -4.44089209850063e-16
+23 0 2 0 0 35 48 64 -4.44089209850063e-16
+23 0 2 0 0 36 48 64 -4.44089209850063e-16
+23 0 2 0 0 37 48 64 -4.44089209850063e-16
+23 0 2 0 0 38 48 64 -4.44089209850063e-16
+23 0 2 0 0 39 48 64 -4.44089209850063e-16
+23 0 2 0 0 40 48 64 -4.44089209850063e-16
+23 0 2 0 0 41 48 64 -4.44089209850063e-16
+23 0 2 0 0 42 48 64 -4.44089209850063e-16
+23 0 2 0 0 43 48 64 -4.44089209850063e-16
+23 0 2 0 0 44 48 64 -4.44089209850063e-16
+23 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 -4.44089209850063e-16
+24 0 2 0 0 28 48 64 -4.44089209850063e-16
+24 0 2 0 0 29 48 64 -4.44089209850063e-16
+24 0 2 0 0 30 48 64 -4.44089209850063e-16
+24 0 2 0 0 31 48 64 -4.44089209850063e-16
+24 0 2 0 0 32 48 64 -4.44089209850063e-16
+24 0 2 0 0 33 48 64 -4.44089209850063e-16
+24 0 2 0 0 34 48 64 -4.44089209850063e-16
+24 0 2 0 0 35 48 64 -4.44089209850063e-16
+24 0 2 0 0 36 48 64 -4.44089209850063e-16
+24 0 2 0 0 37 48 64 -4.44089209850063e-16
+24 0 2 0 0 38 48 64 -4.44089209850063e-16
+24 0 2 0 0 39 48 64 -4.44089209850063e-16
+24 0 2 0 0 40 48 64 -4.44089209850063e-16
+24 0 2 0 0 41 48 64 -4.44089209850063e-16
+24 0 2 0 0 42 48 64 -4.44089209850063e-16
+24 0 2 0 0 43 48 64 -4.44089209850063e-16
+24 0 2 0 0 44 48 64 -4.44089209850063e-16
+24 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 -4.44089209850063e-16
+24 0 1 0 0 20 48 64 -4.44089209850063e-16
+24 0 1 0 0 22 48 64 -4.44089209850063e-16
+24 0 1 0 0 24 48 64 -4.44089209850063e-16
+24 0 1 0 0 26 48 64 -4.44089209850063e-16
+24 0 1 0 0 28 48 64 -4.44089209850063e-16
+24 0 1 0 0 30 48 64 -4.44089209850063e-16
+24 0 1 0 0 32 48 64 -4.44089209850063e-16
+24 0 1 0 0 34 48 64 -4.44089209850063e-16
+24 0 1 0 0 36 48 64 -4.44089209850063e-16
+24 0 1 0 0 38 48 64 -4.44089209850063e-16
+24 0 1 0 0 40 48 64 -4.44089209850063e-16
+24 0 1 0 0 42 48 64 -4.44089209850063e-16
+24 0 1 0 0 44 48 64 -4.44089209850063e-16
+24 0 1 0 0 46 48 64 -4.44089209850063e-16
+24 0 1 0 0 48 48 64 -4.44089209850063e-16
+24 0 1 0 0 50 48 64 -4.44089209850063e-16
+24 0 1 0 0 52 48 64 -4.44089209850063e-16
+24 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -4.44089209850063e-16
+24 0 0 0 0 4 48 64 -4.44089209850063e-16
+24 0 0 0 0 8 48 64 -4.44089209850063e-16
+24 0 0 0 0 12 48 64 -4.44089209850063e-16
+24 0 0 0 0 16 48 64 -4.44089209850063e-16
+24 0 0 0 0 20 48 64 -4.44089209850063e-16
+24 0 0 0 0 24 48 64 -4.44089209850063e-16
+24 0 0 0 0 28 48 64 -4.44089209850063e-16
+24 0 0 0 0 32 48 64 -4.44089209850063e-16
+24 0 0 0 0 36 48 64 -4.44089209850063e-16
+24 0 0 0 0 40 48 64 -4.44089209850063e-16
+24 0 0 0 0 44 48 64 -4.44089209850063e-16
+24 0 0 0 0 48 48 64 -4.44089209850063e-16
+24 0 0 0 0 52 48 64 -4.44089209850063e-16
+24 0 0 0 0 56 48 64 -4.44089209850063e-16
+24 0 0 0 0 60 48 64 -4.44089209850063e-16
+24 0 0 0 0 64 48 64 -4.44089209850063e-16
+24 0 0 0 0 68 48 64 -4.44089209850063e-16
+24 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_y.yl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_y.yl
new file mode 100644
index 000000000..97fdbd2a8
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_y.yl
@@ -0,0 +1,1397 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 -1.35
+0 0 2 0 0 36 40 64 -1.2
+0 0 2 0 0 36 41 64 -1.05
+0 0 2 0 0 36 42 64 -0.9
+0 0 2 0 0 36 43 64 -0.75
+0 0 2 0 0 36 44 64 -0.6
+0 0 2 0 0 36 45 64 -0.45
+0 0 2 0 0 36 46 64 -0.3
+0 0 2 0 0 36 47 64 -0.15
+0 0 2 0 0 36 48 64 -4.44089209850063e-16
+0 0 2 0 0 36 49 64 0.15
+0 0 2 0 0 36 50 64 0.3
+0 0 2 0 0 36 51 64 0.45
+0 0 2 0 0 36 52 64 0.6
+0 0 2 0 0 36 53 64 0.75
+0 0 2 0 0 36 54 64 0.899999999999999
+0 0 2 0 0 36 55 64 1.05
+0 0 2 0 0 36 56 64 1.2
+0 0 2 0 0 36 57 64 1.35
+0 0 2 0 0 36 58 64 1.5
+0 0 2 0 0 36 59 64 1.65
+0 0 2 0 0 36 60 64 1.8
+0 0 2 0 0 36 61 64 1.95
+0 0 2 0 0 36 62 64 2.1
+0 0 2 0 0 36 63 64 2.25
+0 0 2 0 0 36 64 64 2.4
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 -3.3
+0 0 1 0 0 36 28 64 -3
+0 0 1 0 0 36 30 64 -2.7
+0 0 1 0 0 36 32 64 -2.4
+0 0 1 0 0 36 34 64 -2.1
+0 0 1 0 0 36 36 64 -1.8
+0 0 1 0 0 36 38 64 -1.5
+0 0 1 0 0 36 40 64 -1.2
+0 0 1 0 0 36 42 64 -0.9
+0 0 1 0 0 36 44 64 -0.6
+0 0 1 0 0 36 46 64 -0.3
+0 0 1 0 0 36 48 64 -4.44089209850063e-16
+0 0 1 0 0 36 50 64 0.3
+0 0 1 0 0 36 52 64 0.6
+0 0 1 0 0 36 54 64 0.899999999999999
+0 0 1 0 0 36 56 64 1.2
+0 0 1 0 0 36 58 64 1.5
+0 0 1 0 0 36 60 64 1.8
+0 0 1 0 0 36 62 64 2.1
+0 0 1 0 0 36 64 64 2.4
+0 0 1 0 0 36 66 64 2.7
+0 0 1 0 0 36 68 64 3
+0 0 1 0 0 36 70 64 3.3
+0 0 1 0 0 36 72 64 3.6
+0 0 1 0 0 36 74 64 3.9
+0 0 1 0 0 36 76 64 4.2
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -7.2
+0 0 0 0 0 36 4 64 -6.6
+0 0 0 0 0 36 8 64 -6
+0 0 0 0 0 36 12 64 -5.4
+0 0 0 0 0 36 16 64 -4.8
+0 0 0 0 0 36 20 64 -4.2
+0 0 0 0 0 36 24 64 -3.6
+0 0 0 0 0 36 28 64 -3
+0 0 0 0 0 36 32 64 -2.4
+0 0 0 0 0 36 36 64 -1.8
+0 0 0 0 0 36 40 64 -1.2
+0 0 0 0 0 36 44 64 -0.6
+0 0 0 0 0 36 48 64 -4.44089209850063e-16
+0 0 0 0 0 36 52 64 0.6
+0 0 0 0 0 36 56 64 1.2
+0 0 0 0 0 36 60 64 1.8
+0 0 0 0 0 36 64 64 2.4
+0 0 0 0 0 36 68 64 3
+0 0 0 0 0 36 72 64 3.6
+0 0 0 0 0 36 76 64 4.2
+0 0 0 0 0 36 80 64 4.8
+0 0 0 0 0 36 84 64 5.4
+0 0 0 0 0 36 88 64 6
+0 0 0 0 0 36 92 64 6.6
+0 0 0 0 0 36 96 64 7.2
+0 0 0 0 0 36 100 64 7.8
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 -1.35
+1 0 2 0 0 36 40 64 -1.2
+1 0 2 0 0 36 41 64 -1.05
+1 0 2 0 0 36 42 64 -0.9
+1 0 2 0 0 36 43 64 -0.75
+1 0 2 0 0 36 44 64 -0.6
+1 0 2 0 0 36 45 64 -0.45
+1 0 2 0 0 36 46 64 -0.3
+1 0 2 0 0 36 47 64 -0.15
+1 0 2 0 0 36 48 64 -4.44089209850063e-16
+1 0 2 0 0 36 49 64 0.15
+1 0 2 0 0 36 50 64 0.3
+1 0 2 0 0 36 51 64 0.45
+1 0 2 0 0 36 52 64 0.6
+1 0 2 0 0 36 53 64 0.75
+1 0 2 0 0 36 54 64 0.899999999999999
+1 0 2 0 0 36 55 64 1.05
+1 0 2 0 0 36 56 64 1.2
+1 0 2 0 0 36 57 64 1.35
+1 0 2 0 0 36 58 64 1.5
+1 0 2 0 0 36 59 64 1.65
+1 0 2 0 0 36 60 64 1.8
+1 0 2 0 0 36 61 64 1.95
+1 0 2 0 0 36 62 64 2.1
+1 0 2 0 0 36 63 64 2.25
+1 0 2 0 0 36 64 64 2.4
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 -1.35
+2 0 2 0 0 36 40 64 -1.2
+2 0 2 0 0 36 41 64 -1.05
+2 0 2 0 0 36 42 64 -0.9
+2 0 2 0 0 36 43 64 -0.75
+2 0 2 0 0 36 44 64 -0.6
+2 0 2 0 0 36 45 64 -0.45
+2 0 2 0 0 36 46 64 -0.3
+2 0 2 0 0 36 47 64 -0.15
+2 0 2 0 0 36 48 64 -4.44089209850063e-16
+2 0 2 0 0 36 49 64 0.15
+2 0 2 0 0 36 50 64 0.3
+2 0 2 0 0 36 51 64 0.45
+2 0 2 0 0 36 52 64 0.6
+2 0 2 0 0 36 53 64 0.75
+2 0 2 0 0 36 54 64 0.899999999999999
+2 0 2 0 0 36 55 64 1.05
+2 0 2 0 0 36 56 64 1.2
+2 0 2 0 0 36 57 64 1.35
+2 0 2 0 0 36 58 64 1.5
+2 0 2 0 0 36 59 64 1.65
+2 0 2 0 0 36 60 64 1.8
+2 0 2 0 0 36 61 64 1.95
+2 0 2 0 0 36 62 64 2.1
+2 0 2 0 0 36 63 64 2.25
+2 0 2 0 0 36 64 64 2.4
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 -3.3
+2 0 1 0 0 36 28 64 -3
+2 0 1 0 0 36 30 64 -2.7
+2 0 1 0 0 36 32 64 -2.4
+2 0 1 0 0 36 34 64 -2.1
+2 0 1 0 0 36 36 64 -1.8
+2 0 1 0 0 36 38 64 -1.5
+2 0 1 0 0 36 40 64 -1.2
+2 0 1 0 0 36 42 64 -0.9
+2 0 1 0 0 36 44 64 -0.6
+2 0 1 0 0 36 46 64 -0.3
+2 0 1 0 0 36 48 64 -4.44089209850063e-16
+2 0 1 0 0 36 50 64 0.3
+2 0 1 0 0 36 52 64 0.6
+2 0 1 0 0 36 54 64 0.899999999999999
+2 0 1 0 0 36 56 64 1.2
+2 0 1 0 0 36 58 64 1.5
+2 0 1 0 0 36 60 64 1.8
+2 0 1 0 0 36 62 64 2.1
+2 0 1 0 0 36 64 64 2.4
+2 0 1 0 0 36 66 64 2.7
+2 0 1 0 0 36 68 64 3
+2 0 1 0 0 36 70 64 3.3
+2 0 1 0 0 36 72 64 3.6
+2 0 1 0 0 36 74 64 3.9
+2 0 1 0 0 36 76 64 4.2
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 -1.35
+3 0 2 0 0 36 40 64 -1.2
+3 0 2 0 0 36 41 64 -1.05
+3 0 2 0 0 36 42 64 -0.9
+3 0 2 0 0 36 43 64 -0.75
+3 0 2 0 0 36 44 64 -0.6
+3 0 2 0 0 36 45 64 -0.45
+3 0 2 0 0 36 46 64 -0.3
+3 0 2 0 0 36 47 64 -0.15
+3 0 2 0 0 36 48 64 -4.44089209850063e-16
+3 0 2 0 0 36 49 64 0.15
+3 0 2 0 0 36 50 64 0.3
+3 0 2 0 0 36 51 64 0.45
+3 0 2 0 0 36 52 64 0.6
+3 0 2 0 0 36 53 64 0.75
+3 0 2 0 0 36 54 64 0.899999999999999
+3 0 2 0 0 36 55 64 1.05
+3 0 2 0 0 36 56 64 1.2
+3 0 2 0 0 36 57 64 1.35
+3 0 2 0 0 36 58 64 1.5
+3 0 2 0 0 36 59 64 1.65
+3 0 2 0 0 36 60 64 1.8
+3 0 2 0 0 36 61 64 1.95
+3 0 2 0 0 36 62 64 2.1
+3 0 2 0 0 36 63 64 2.25
+3 0 2 0 0 36 64 64 2.4
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 -1.35
+4 0 2 0 0 36 40 64 -1.2
+4 0 2 0 0 36 41 64 -1.05
+4 0 2 0 0 36 42 64 -0.9
+4 0 2 0 0 36 43 64 -0.75
+4 0 2 0 0 36 44 64 -0.6
+4 0 2 0 0 36 45 64 -0.45
+4 0 2 0 0 36 46 64 -0.3
+4 0 2 0 0 36 47 64 -0.15
+4 0 2 0 0 36 48 64 -4.44089209850063e-16
+4 0 2 0 0 36 49 64 0.15
+4 0 2 0 0 36 50 64 0.3
+4 0 2 0 0 36 51 64 0.45
+4 0 2 0 0 36 52 64 0.6
+4 0 2 0 0 36 53 64 0.75
+4 0 2 0 0 36 54 64 0.899999999999999
+4 0 2 0 0 36 55 64 1.05
+4 0 2 0 0 36 56 64 1.2
+4 0 2 0 0 36 57 64 1.35
+4 0 2 0 0 36 58 64 1.5
+4 0 2 0 0 36 59 64 1.65
+4 0 2 0 0 36 60 64 1.8
+4 0 2 0 0 36 61 64 1.95
+4 0 2 0 0 36 62 64 2.1
+4 0 2 0 0 36 63 64 2.25
+4 0 2 0 0 36 64 64 2.4
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 -3.3
+4 0 1 0 0 36 28 64 -3
+4 0 1 0 0 36 30 64 -2.7
+4 0 1 0 0 36 32 64 -2.4
+4 0 1 0 0 36 34 64 -2.1
+4 0 1 0 0 36 36 64 -1.8
+4 0 1 0 0 36 38 64 -1.5
+4 0 1 0 0 36 40 64 -1.2
+4 0 1 0 0 36 42 64 -0.9
+4 0 1 0 0 36 44 64 -0.6
+4 0 1 0 0 36 46 64 -0.3
+4 0 1 0 0 36 48 64 -4.44089209850063e-16
+4 0 1 0 0 36 50 64 0.3
+4 0 1 0 0 36 52 64 0.6
+4 0 1 0 0 36 54 64 0.899999999999999
+4 0 1 0 0 36 56 64 1.2
+4 0 1 0 0 36 58 64 1.5
+4 0 1 0 0 36 60 64 1.8
+4 0 1 0 0 36 62 64 2.1
+4 0 1 0 0 36 64 64 2.4
+4 0 1 0 0 36 66 64 2.7
+4 0 1 0 0 36 68 64 3
+4 0 1 0 0 36 70 64 3.3
+4 0 1 0 0 36 72 64 3.6
+4 0 1 0 0 36 74 64 3.9
+4 0 1 0 0 36 76 64 4.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 -7.2
+4 0 0 0 0 36 4 64 -6.6
+4 0 0 0 0 36 8 64 -6
+4 0 0 0 0 36 12 64 -5.4
+4 0 0 0 0 36 16 64 -4.8
+4 0 0 0 0 36 20 64 -4.2
+4 0 0 0 0 36 24 64 -3.6
+4 0 0 0 0 36 28 64 -3
+4 0 0 0 0 36 32 64 -2.4
+4 0 0 0 0 36 36 64 -1.8
+4 0 0 0 0 36 40 64 -1.2
+4 0 0 0 0 36 44 64 -0.6
+4 0 0 0 0 36 48 64 -4.44089209850063e-16
+4 0 0 0 0 36 52 64 0.6
+4 0 0 0 0 36 56 64 1.2
+4 0 0 0 0 36 60 64 1.8
+4 0 0 0 0 36 64 64 2.4
+4 0 0 0 0 36 68 64 3
+4 0 0 0 0 36 72 64 3.6
+4 0 0 0 0 36 76 64 4.2
+4 0 0 0 0 36 80 64 4.8
+4 0 0 0 0 36 84 64 5.4
+4 0 0 0 0 36 88 64 6
+4 0 0 0 0 36 92 64 6.6
+4 0 0 0 0 36 96 64 7.2
+4 0 0 0 0 36 100 64 7.8
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 -1.35
+5 0 2 0 0 36 40 64 -1.2
+5 0 2 0 0 36 41 64 -1.05
+5 0 2 0 0 36 42 64 -0.9
+5 0 2 0 0 36 43 64 -0.75
+5 0 2 0 0 36 44 64 -0.6
+5 0 2 0 0 36 45 64 -0.45
+5 0 2 0 0 36 46 64 -0.3
+5 0 2 0 0 36 47 64 -0.15
+5 0 2 0 0 36 48 64 -4.44089209850063e-16
+5 0 2 0 0 36 49 64 0.15
+5 0 2 0 0 36 50 64 0.3
+5 0 2 0 0 36 51 64 0.45
+5 0 2 0 0 36 52 64 0.6
+5 0 2 0 0 36 53 64 0.75
+5 0 2 0 0 36 54 64 0.899999999999999
+5 0 2 0 0 36 55 64 1.05
+5 0 2 0 0 36 56 64 1.2
+5 0 2 0 0 36 57 64 1.35
+5 0 2 0 0 36 58 64 1.5
+5 0 2 0 0 36 59 64 1.65
+5 0 2 0 0 36 60 64 1.8
+5 0 2 0 0 36 61 64 1.95
+5 0 2 0 0 36 62 64 2.1
+5 0 2 0 0 36 63 64 2.25
+5 0 2 0 0 36 64 64 2.4
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 -1.35
+6 0 2 0 0 36 40 64 -1.2
+6 0 2 0 0 36 41 64 -1.05
+6 0 2 0 0 36 42 64 -0.9
+6 0 2 0 0 36 43 64 -0.75
+6 0 2 0 0 36 44 64 -0.6
+6 0 2 0 0 36 45 64 -0.45
+6 0 2 0 0 36 46 64 -0.3
+6 0 2 0 0 36 47 64 -0.15
+6 0 2 0 0 36 48 64 -4.44089209850063e-16
+6 0 2 0 0 36 49 64 0.15
+6 0 2 0 0 36 50 64 0.3
+6 0 2 0 0 36 51 64 0.45
+6 0 2 0 0 36 52 64 0.6
+6 0 2 0 0 36 53 64 0.75
+6 0 2 0 0 36 54 64 0.899999999999999
+6 0 2 0 0 36 55 64 1.05
+6 0 2 0 0 36 56 64 1.2
+6 0 2 0 0 36 57 64 1.35
+6 0 2 0 0 36 58 64 1.5
+6 0 2 0 0 36 59 64 1.65
+6 0 2 0 0 36 60 64 1.8
+6 0 2 0 0 36 61 64 1.95
+6 0 2 0 0 36 62 64 2.1
+6 0 2 0 0 36 63 64 2.25
+6 0 2 0 0 36 64 64 2.4
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 -3.3
+6 0 1 0 0 36 28 64 -3
+6 0 1 0 0 36 30 64 -2.7
+6 0 1 0 0 36 32 64 -2.4
+6 0 1 0 0 36 34 64 -2.1
+6 0 1 0 0 36 36 64 -1.8
+6 0 1 0 0 36 38 64 -1.5
+6 0 1 0 0 36 40 64 -1.2
+6 0 1 0 0 36 42 64 -0.9
+6 0 1 0 0 36 44 64 -0.6
+6 0 1 0 0 36 46 64 -0.3
+6 0 1 0 0 36 48 64 -4.44089209850063e-16
+6 0 1 0 0 36 50 64 0.3
+6 0 1 0 0 36 52 64 0.6
+6 0 1 0 0 36 54 64 0.899999999999999
+6 0 1 0 0 36 56 64 1.2
+6 0 1 0 0 36 58 64 1.5
+6 0 1 0 0 36 60 64 1.8
+6 0 1 0 0 36 62 64 2.1
+6 0 1 0 0 36 64 64 2.4
+6 0 1 0 0 36 66 64 2.7
+6 0 1 0 0 36 68 64 3
+6 0 1 0 0 36 70 64 3.3
+6 0 1 0 0 36 72 64 3.6
+6 0 1 0 0 36 74 64 3.9
+6 0 1 0 0 36 76 64 4.2
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 -1.35
+7 0 2 0 0 36 40 64 -1.2
+7 0 2 0 0 36 41 64 -1.05
+7 0 2 0 0 36 42 64 -0.9
+7 0 2 0 0 36 43 64 -0.75
+7 0 2 0 0 36 44 64 -0.6
+7 0 2 0 0 36 45 64 -0.45
+7 0 2 0 0 36 46 64 -0.3
+7 0 2 0 0 36 47 64 -0.15
+7 0 2 0 0 36 48 64 -4.44089209850063e-16
+7 0 2 0 0 36 49 64 0.15
+7 0 2 0 0 36 50 64 0.3
+7 0 2 0 0 36 51 64 0.45
+7 0 2 0 0 36 52 64 0.6
+7 0 2 0 0 36 53 64 0.75
+7 0 2 0 0 36 54 64 0.899999999999999
+7 0 2 0 0 36 55 64 1.05
+7 0 2 0 0 36 56 64 1.2
+7 0 2 0 0 36 57 64 1.35
+7 0 2 0 0 36 58 64 1.5
+7 0 2 0 0 36 59 64 1.65
+7 0 2 0 0 36 60 64 1.8
+7 0 2 0 0 36 61 64 1.95
+7 0 2 0 0 36 62 64 2.1
+7 0 2 0 0 36 63 64 2.25
+7 0 2 0 0 36 64 64 2.4
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 -1.35
+8 0 2 0 0 36 40 64 -1.2
+8 0 2 0 0 36 41 64 -1.05
+8 0 2 0 0 36 42 64 -0.9
+8 0 2 0 0 36 43 64 -0.75
+8 0 2 0 0 36 44 64 -0.6
+8 0 2 0 0 36 45 64 -0.45
+8 0 2 0 0 36 46 64 -0.3
+8 0 2 0 0 36 47 64 -0.15
+8 0 2 0 0 36 48 64 -4.44089209850063e-16
+8 0 2 0 0 36 49 64 0.15
+8 0 2 0 0 36 50 64 0.3
+8 0 2 0 0 36 51 64 0.45
+8 0 2 0 0 36 52 64 0.6
+8 0 2 0 0 36 53 64 0.75
+8 0 2 0 0 36 54 64 0.899999999999999
+8 0 2 0 0 36 55 64 1.05
+8 0 2 0 0 36 56 64 1.2
+8 0 2 0 0 36 57 64 1.35
+8 0 2 0 0 36 58 64 1.5
+8 0 2 0 0 36 59 64 1.65
+8 0 2 0 0 36 60 64 1.8
+8 0 2 0 0 36 61 64 1.95
+8 0 2 0 0 36 62 64 2.1
+8 0 2 0 0 36 63 64 2.25
+8 0 2 0 0 36 64 64 2.4
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 -3.3
+8 0 1 0 0 36 28 64 -3
+8 0 1 0 0 36 30 64 -2.7
+8 0 1 0 0 36 32 64 -2.4
+8 0 1 0 0 36 34 64 -2.1
+8 0 1 0 0 36 36 64 -1.8
+8 0 1 0 0 36 38 64 -1.5
+8 0 1 0 0 36 40 64 -1.2
+8 0 1 0 0 36 42 64 -0.9
+8 0 1 0 0 36 44 64 -0.6
+8 0 1 0 0 36 46 64 -0.3
+8 0 1 0 0 36 48 64 -4.44089209850063e-16
+8 0 1 0 0 36 50 64 0.3
+8 0 1 0 0 36 52 64 0.6
+8 0 1 0 0 36 54 64 0.899999999999999
+8 0 1 0 0 36 56 64 1.2
+8 0 1 0 0 36 58 64 1.5
+8 0 1 0 0 36 60 64 1.8
+8 0 1 0 0 36 62 64 2.1
+8 0 1 0 0 36 64 64 2.4
+8 0 1 0 0 36 66 64 2.7
+8 0 1 0 0 36 68 64 3
+8 0 1 0 0 36 70 64 3.3
+8 0 1 0 0 36 72 64 3.6
+8 0 1 0 0 36 74 64 3.9
+8 0 1 0 0 36 76 64 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 -7.2
+8 0 0 0 0 36 4 64 -6.6
+8 0 0 0 0 36 8 64 -6
+8 0 0 0 0 36 12 64 -5.4
+8 0 0 0 0 36 16 64 -4.8
+8 0 0 0 0 36 20 64 -4.2
+8 0 0 0 0 36 24 64 -3.6
+8 0 0 0 0 36 28 64 -3
+8 0 0 0 0 36 32 64 -2.4
+8 0 0 0 0 36 36 64 -1.8
+8 0 0 0 0 36 40 64 -1.2
+8 0 0 0 0 36 44 64 -0.6
+8 0 0 0 0 36 48 64 -4.44089209850063e-16
+8 0 0 0 0 36 52 64 0.6
+8 0 0 0 0 36 56 64 1.2
+8 0 0 0 0 36 60 64 1.8
+8 0 0 0 0 36 64 64 2.4
+8 0 0 0 0 36 68 64 3
+8 0 0 0 0 36 72 64 3.6
+8 0 0 0 0 36 76 64 4.2
+8 0 0 0 0 36 80 64 4.8
+8 0 0 0 0 36 84 64 5.4
+8 0 0 0 0 36 88 64 6
+8 0 0 0 0 36 92 64 6.6
+8 0 0 0 0 36 96 64 7.2
+8 0 0 0 0 36 100 64 7.8
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 -1.35
+9 0 2 0 0 36 40 64 -1.2
+9 0 2 0 0 36 41 64 -1.05
+9 0 2 0 0 36 42 64 -0.9
+9 0 2 0 0 36 43 64 -0.75
+9 0 2 0 0 36 44 64 -0.6
+9 0 2 0 0 36 45 64 -0.45
+9 0 2 0 0 36 46 64 -0.3
+9 0 2 0 0 36 47 64 -0.15
+9 0 2 0 0 36 48 64 -4.44089209850063e-16
+9 0 2 0 0 36 49 64 0.15
+9 0 2 0 0 36 50 64 0.3
+9 0 2 0 0 36 51 64 0.45
+9 0 2 0 0 36 52 64 0.6
+9 0 2 0 0 36 53 64 0.75
+9 0 2 0 0 36 54 64 0.899999999999999
+9 0 2 0 0 36 55 64 1.05
+9 0 2 0 0 36 56 64 1.2
+9 0 2 0 0 36 57 64 1.35
+9 0 2 0 0 36 58 64 1.5
+9 0 2 0 0 36 59 64 1.65
+9 0 2 0 0 36 60 64 1.8
+9 0 2 0 0 36 61 64 1.95
+9 0 2 0 0 36 62 64 2.1
+9 0 2 0 0 36 63 64 2.25
+9 0 2 0 0 36 64 64 2.4
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 -1.35
+10 0 2 0 0 36 40 64 -1.2
+10 0 2 0 0 36 41 64 -1.05
+10 0 2 0 0 36 42 64 -0.9
+10 0 2 0 0 36 43 64 -0.75
+10 0 2 0 0 36 44 64 -0.6
+10 0 2 0 0 36 45 64 -0.45
+10 0 2 0 0 36 46 64 -0.3
+10 0 2 0 0 36 47 64 -0.15
+10 0 2 0 0 36 48 64 -4.44089209850063e-16
+10 0 2 0 0 36 49 64 0.15
+10 0 2 0 0 36 50 64 0.3
+10 0 2 0 0 36 51 64 0.45
+10 0 2 0 0 36 52 64 0.6
+10 0 2 0 0 36 53 64 0.75
+10 0 2 0 0 36 54 64 0.899999999999999
+10 0 2 0 0 36 55 64 1.05
+10 0 2 0 0 36 56 64 1.2
+10 0 2 0 0 36 57 64 1.35
+10 0 2 0 0 36 58 64 1.5
+10 0 2 0 0 36 59 64 1.65
+10 0 2 0 0 36 60 64 1.8
+10 0 2 0 0 36 61 64 1.95
+10 0 2 0 0 36 62 64 2.1
+10 0 2 0 0 36 63 64 2.25
+10 0 2 0 0 36 64 64 2.4
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 -3.3
+10 0 1 0 0 36 28 64 -3
+10 0 1 0 0 36 30 64 -2.7
+10 0 1 0 0 36 32 64 -2.4
+10 0 1 0 0 36 34 64 -2.1
+10 0 1 0 0 36 36 64 -1.8
+10 0 1 0 0 36 38 64 -1.5
+10 0 1 0 0 36 40 64 -1.2
+10 0 1 0 0 36 42 64 -0.9
+10 0 1 0 0 36 44 64 -0.6
+10 0 1 0 0 36 46 64 -0.3
+10 0 1 0 0 36 48 64 -4.44089209850063e-16
+10 0 1 0 0 36 50 64 0.3
+10 0 1 0 0 36 52 64 0.6
+10 0 1 0 0 36 54 64 0.899999999999999
+10 0 1 0 0 36 56 64 1.2
+10 0 1 0 0 36 58 64 1.5
+10 0 1 0 0 36 60 64 1.8
+10 0 1 0 0 36 62 64 2.1
+10 0 1 0 0 36 64 64 2.4
+10 0 1 0 0 36 66 64 2.7
+10 0 1 0 0 36 68 64 3
+10 0 1 0 0 36 70 64 3.3
+10 0 1 0 0 36 72 64 3.6
+10 0 1 0 0 36 74 64 3.9
+10 0 1 0 0 36 76 64 4.2
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 -1.35
+11 0 2 0 0 36 40 64 -1.2
+11 0 2 0 0 36 41 64 -1.05
+11 0 2 0 0 36 42 64 -0.9
+11 0 2 0 0 36 43 64 -0.75
+11 0 2 0 0 36 44 64 -0.6
+11 0 2 0 0 36 45 64 -0.45
+11 0 2 0 0 36 46 64 -0.3
+11 0 2 0 0 36 47 64 -0.15
+11 0 2 0 0 36 48 64 -4.44089209850063e-16
+11 0 2 0 0 36 49 64 0.15
+11 0 2 0 0 36 50 64 0.3
+11 0 2 0 0 36 51 64 0.45
+11 0 2 0 0 36 52 64 0.6
+11 0 2 0 0 36 53 64 0.75
+11 0 2 0 0 36 54 64 0.899999999999999
+11 0 2 0 0 36 55 64 1.05
+11 0 2 0 0 36 56 64 1.2
+11 0 2 0 0 36 57 64 1.35
+11 0 2 0 0 36 58 64 1.5
+11 0 2 0 0 36 59 64 1.65
+11 0 2 0 0 36 60 64 1.8
+11 0 2 0 0 36 61 64 1.95
+11 0 2 0 0 36 62 64 2.1
+11 0 2 0 0 36 63 64 2.25
+11 0 2 0 0 36 64 64 2.4
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 -1.35
+12 0 2 0 0 36 40 64 -1.2
+12 0 2 0 0 36 41 64 -1.05
+12 0 2 0 0 36 42 64 -0.9
+12 0 2 0 0 36 43 64 -0.75
+12 0 2 0 0 36 44 64 -0.6
+12 0 2 0 0 36 45 64 -0.45
+12 0 2 0 0 36 46 64 -0.3
+12 0 2 0 0 36 47 64 -0.15
+12 0 2 0 0 36 48 64 -4.44089209850063e-16
+12 0 2 0 0 36 49 64 0.15
+12 0 2 0 0 36 50 64 0.3
+12 0 2 0 0 36 51 64 0.45
+12 0 2 0 0 36 52 64 0.6
+12 0 2 0 0 36 53 64 0.75
+12 0 2 0 0 36 54 64 0.899999999999999
+12 0 2 0 0 36 55 64 1.05
+12 0 2 0 0 36 56 64 1.2
+12 0 2 0 0 36 57 64 1.35
+12 0 2 0 0 36 58 64 1.5
+12 0 2 0 0 36 59 64 1.65
+12 0 2 0 0 36 60 64 1.8
+12 0 2 0 0 36 61 64 1.95
+12 0 2 0 0 36 62 64 2.1
+12 0 2 0 0 36 63 64 2.25
+12 0 2 0 0 36 64 64 2.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 -3.3
+12 0 1 0 0 36 28 64 -3
+12 0 1 0 0 36 30 64 -2.7
+12 0 1 0 0 36 32 64 -2.4
+12 0 1 0 0 36 34 64 -2.1
+12 0 1 0 0 36 36 64 -1.8
+12 0 1 0 0 36 38 64 -1.5
+12 0 1 0 0 36 40 64 -1.2
+12 0 1 0 0 36 42 64 -0.9
+12 0 1 0 0 36 44 64 -0.6
+12 0 1 0 0 36 46 64 -0.3
+12 0 1 0 0 36 48 64 -4.44089209850063e-16
+12 0 1 0 0 36 50 64 0.3
+12 0 1 0 0 36 52 64 0.6
+12 0 1 0 0 36 54 64 0.899999999999999
+12 0 1 0 0 36 56 64 1.2
+12 0 1 0 0 36 58 64 1.5
+12 0 1 0 0 36 60 64 1.8
+12 0 1 0 0 36 62 64 2.1
+12 0 1 0 0 36 64 64 2.4
+12 0 1 0 0 36 66 64 2.7
+12 0 1 0 0 36 68 64 3
+12 0 1 0 0 36 70 64 3.3
+12 0 1 0 0 36 72 64 3.6
+12 0 1 0 0 36 74 64 3.9
+12 0 1 0 0 36 76 64 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 -7.2
+12 0 0 0 0 36 4 64 -6.6
+12 0 0 0 0 36 8 64 -6
+12 0 0 0 0 36 12 64 -5.4
+12 0 0 0 0 36 16 64 -4.8
+12 0 0 0 0 36 20 64 -4.2
+12 0 0 0 0 36 24 64 -3.6
+12 0 0 0 0 36 28 64 -3
+12 0 0 0 0 36 32 64 -2.4
+12 0 0 0 0 36 36 64 -1.8
+12 0 0 0 0 36 40 64 -1.2
+12 0 0 0 0 36 44 64 -0.6
+12 0 0 0 0 36 48 64 -4.44089209850063e-16
+12 0 0 0 0 36 52 64 0.6
+12 0 0 0 0 36 56 64 1.2
+12 0 0 0 0 36 60 64 1.8
+12 0 0 0 0 36 64 64 2.4
+12 0 0 0 0 36 68 64 3
+12 0 0 0 0 36 72 64 3.6
+12 0 0 0 0 36 76 64 4.2
+12 0 0 0 0 36 80 64 4.8
+12 0 0 0 0 36 84 64 5.4
+12 0 0 0 0 36 88 64 6
+12 0 0 0 0 36 92 64 6.6
+12 0 0 0 0 36 96 64 7.2
+12 0 0 0 0 36 100 64 7.8
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 -1.35
+13 0 2 0 0 36 40 64 -1.2
+13 0 2 0 0 36 41 64 -1.05
+13 0 2 0 0 36 42 64 -0.9
+13 0 2 0 0 36 43 64 -0.75
+13 0 2 0 0 36 44 64 -0.6
+13 0 2 0 0 36 45 64 -0.45
+13 0 2 0 0 36 46 64 -0.3
+13 0 2 0 0 36 47 64 -0.15
+13 0 2 0 0 36 48 64 -4.44089209850063e-16
+13 0 2 0 0 36 49 64 0.15
+13 0 2 0 0 36 50 64 0.3
+13 0 2 0 0 36 51 64 0.45
+13 0 2 0 0 36 52 64 0.6
+13 0 2 0 0 36 53 64 0.75
+13 0 2 0 0 36 54 64 0.899999999999999
+13 0 2 0 0 36 55 64 1.05
+13 0 2 0 0 36 56 64 1.2
+13 0 2 0 0 36 57 64 1.35
+13 0 2 0 0 36 58 64 1.5
+13 0 2 0 0 36 59 64 1.65
+13 0 2 0 0 36 60 64 1.8
+13 0 2 0 0 36 61 64 1.95
+13 0 2 0 0 36 62 64 2.1
+13 0 2 0 0 36 63 64 2.25
+13 0 2 0 0 36 64 64 2.4
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 -1.35
+14 0 2 0 0 36 40 64 -1.2
+14 0 2 0 0 36 41 64 -1.05
+14 0 2 0 0 36 42 64 -0.9
+14 0 2 0 0 36 43 64 -0.75
+14 0 2 0 0 36 44 64 -0.6
+14 0 2 0 0 36 45 64 -0.45
+14 0 2 0 0 36 46 64 -0.3
+14 0 2 0 0 36 47 64 -0.15
+14 0 2 0 0 36 48 64 -4.44089209850063e-16
+14 0 2 0 0 36 49 64 0.15
+14 0 2 0 0 36 50 64 0.3
+14 0 2 0 0 36 51 64 0.45
+14 0 2 0 0 36 52 64 0.6
+14 0 2 0 0 36 53 64 0.75
+14 0 2 0 0 36 54 64 0.899999999999999
+14 0 2 0 0 36 55 64 1.05
+14 0 2 0 0 36 56 64 1.2
+14 0 2 0 0 36 57 64 1.35
+14 0 2 0 0 36 58 64 1.5
+14 0 2 0 0 36 59 64 1.65
+14 0 2 0 0 36 60 64 1.8
+14 0 2 0 0 36 61 64 1.95
+14 0 2 0 0 36 62 64 2.1
+14 0 2 0 0 36 63 64 2.25
+14 0 2 0 0 36 64 64 2.4
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 -3.3
+14 0 1 0 0 36 28 64 -3
+14 0 1 0 0 36 30 64 -2.7
+14 0 1 0 0 36 32 64 -2.4
+14 0 1 0 0 36 34 64 -2.1
+14 0 1 0 0 36 36 64 -1.8
+14 0 1 0 0 36 38 64 -1.5
+14 0 1 0 0 36 40 64 -1.2
+14 0 1 0 0 36 42 64 -0.9
+14 0 1 0 0 36 44 64 -0.6
+14 0 1 0 0 36 46 64 -0.3
+14 0 1 0 0 36 48 64 -4.44089209850063e-16
+14 0 1 0 0 36 50 64 0.3
+14 0 1 0 0 36 52 64 0.6
+14 0 1 0 0 36 54 64 0.899999999999999
+14 0 1 0 0 36 56 64 1.2
+14 0 1 0 0 36 58 64 1.5
+14 0 1 0 0 36 60 64 1.8
+14 0 1 0 0 36 62 64 2.1
+14 0 1 0 0 36 64 64 2.4
+14 0 1 0 0 36 66 64 2.7
+14 0 1 0 0 36 68 64 3
+14 0 1 0 0 36 70 64 3.3
+14 0 1 0 0 36 72 64 3.6
+14 0 1 0 0 36 74 64 3.9
+14 0 1 0 0 36 76 64 4.2
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 -1.35
+15 0 2 0 0 36 40 64 -1.2
+15 0 2 0 0 36 41 64 -1.05
+15 0 2 0 0 36 42 64 -0.9
+15 0 2 0 0 36 43 64 -0.75
+15 0 2 0 0 36 44 64 -0.6
+15 0 2 0 0 36 45 64 -0.45
+15 0 2 0 0 36 46 64 -0.3
+15 0 2 0 0 36 47 64 -0.15
+15 0 2 0 0 36 48 64 -4.44089209850063e-16
+15 0 2 0 0 36 49 64 0.15
+15 0 2 0 0 36 50 64 0.3
+15 0 2 0 0 36 51 64 0.45
+15 0 2 0 0 36 52 64 0.6
+15 0 2 0 0 36 53 64 0.75
+15 0 2 0 0 36 54 64 0.899999999999999
+15 0 2 0 0 36 55 64 1.05
+15 0 2 0 0 36 56 64 1.2
+15 0 2 0 0 36 57 64 1.35
+15 0 2 0 0 36 58 64 1.5
+15 0 2 0 0 36 59 64 1.65
+15 0 2 0 0 36 60 64 1.8
+15 0 2 0 0 36 61 64 1.95
+15 0 2 0 0 36 62 64 2.1
+15 0 2 0 0 36 63 64 2.25
+15 0 2 0 0 36 64 64 2.4
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 -1.35
+16 0 2 0 0 36 40 64 -1.2
+16 0 2 0 0 36 41 64 -1.05
+16 0 2 0 0 36 42 64 -0.9
+16 0 2 0 0 36 43 64 -0.75
+16 0 2 0 0 36 44 64 -0.6
+16 0 2 0 0 36 45 64 -0.45
+16 0 2 0 0 36 46 64 -0.3
+16 0 2 0 0 36 47 64 -0.15
+16 0 2 0 0 36 48 64 -4.44089209850063e-16
+16 0 2 0 0 36 49 64 0.15
+16 0 2 0 0 36 50 64 0.3
+16 0 2 0 0 36 51 64 0.45
+16 0 2 0 0 36 52 64 0.6
+16 0 2 0 0 36 53 64 0.75
+16 0 2 0 0 36 54 64 0.899999999999999
+16 0 2 0 0 36 55 64 1.05
+16 0 2 0 0 36 56 64 1.2
+16 0 2 0 0 36 57 64 1.35
+16 0 2 0 0 36 58 64 1.5
+16 0 2 0 0 36 59 64 1.65
+16 0 2 0 0 36 60 64 1.8
+16 0 2 0 0 36 61 64 1.95
+16 0 2 0 0 36 62 64 2.1
+16 0 2 0 0 36 63 64 2.25
+16 0 2 0 0 36 64 64 2.4
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 -3.3
+16 0 1 0 0 36 28 64 -3
+16 0 1 0 0 36 30 64 -2.7
+16 0 1 0 0 36 32 64 -2.4
+16 0 1 0 0 36 34 64 -2.1
+16 0 1 0 0 36 36 64 -1.8
+16 0 1 0 0 36 38 64 -1.5
+16 0 1 0 0 36 40 64 -1.2
+16 0 1 0 0 36 42 64 -0.9
+16 0 1 0 0 36 44 64 -0.6
+16 0 1 0 0 36 46 64 -0.3
+16 0 1 0 0 36 48 64 -4.44089209850063e-16
+16 0 1 0 0 36 50 64 0.3
+16 0 1 0 0 36 52 64 0.6
+16 0 1 0 0 36 54 64 0.899999999999999
+16 0 1 0 0 36 56 64 1.2
+16 0 1 0 0 36 58 64 1.5
+16 0 1 0 0 36 60 64 1.8
+16 0 1 0 0 36 62 64 2.1
+16 0 1 0 0 36 64 64 2.4
+16 0 1 0 0 36 66 64 2.7
+16 0 1 0 0 36 68 64 3
+16 0 1 0 0 36 70 64 3.3
+16 0 1 0 0 36 72 64 3.6
+16 0 1 0 0 36 74 64 3.9
+16 0 1 0 0 36 76 64 4.2
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 -7.2
+16 0 0 0 0 36 4 64 -6.6
+16 0 0 0 0 36 8 64 -6
+16 0 0 0 0 36 12 64 -5.4
+16 0 0 0 0 36 16 64 -4.8
+16 0 0 0 0 36 20 64 -4.2
+16 0 0 0 0 36 24 64 -3.6
+16 0 0 0 0 36 28 64 -3
+16 0 0 0 0 36 32 64 -2.4
+16 0 0 0 0 36 36 64 -1.8
+16 0 0 0 0 36 40 64 -1.2
+16 0 0 0 0 36 44 64 -0.6
+16 0 0 0 0 36 48 64 -4.44089209850063e-16
+16 0 0 0 0 36 52 64 0.6
+16 0 0 0 0 36 56 64 1.2
+16 0 0 0 0 36 60 64 1.8
+16 0 0 0 0 36 64 64 2.4
+16 0 0 0 0 36 68 64 3
+16 0 0 0 0 36 72 64 3.6
+16 0 0 0 0 36 76 64 4.2
+16 0 0 0 0 36 80 64 4.8
+16 0 0 0 0 36 84 64 5.4
+16 0 0 0 0 36 88 64 6
+16 0 0 0 0 36 92 64 6.6
+16 0 0 0 0 36 96 64 7.2
+16 0 0 0 0 36 100 64 7.8
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 -1.35
+17 0 2 0 0 36 40 64 -1.2
+17 0 2 0 0 36 41 64 -1.05
+17 0 2 0 0 36 42 64 -0.9
+17 0 2 0 0 36 43 64 -0.75
+17 0 2 0 0 36 44 64 -0.6
+17 0 2 0 0 36 45 64 -0.45
+17 0 2 0 0 36 46 64 -0.3
+17 0 2 0 0 36 47 64 -0.15
+17 0 2 0 0 36 48 64 -4.44089209850063e-16
+17 0 2 0 0 36 49 64 0.15
+17 0 2 0 0 36 50 64 0.3
+17 0 2 0 0 36 51 64 0.45
+17 0 2 0 0 36 52 64 0.6
+17 0 2 0 0 36 53 64 0.75
+17 0 2 0 0 36 54 64 0.899999999999999
+17 0 2 0 0 36 55 64 1.05
+17 0 2 0 0 36 56 64 1.2
+17 0 2 0 0 36 57 64 1.35
+17 0 2 0 0 36 58 64 1.5
+17 0 2 0 0 36 59 64 1.65
+17 0 2 0 0 36 60 64 1.8
+17 0 2 0 0 36 61 64 1.95
+17 0 2 0 0 36 62 64 2.1
+17 0 2 0 0 36 63 64 2.25
+17 0 2 0 0 36 64 64 2.4
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 -1.35
+18 0 2 0 0 36 40 64 -1.2
+18 0 2 0 0 36 41 64 -1.05
+18 0 2 0 0 36 42 64 -0.9
+18 0 2 0 0 36 43 64 -0.75
+18 0 2 0 0 36 44 64 -0.6
+18 0 2 0 0 36 45 64 -0.45
+18 0 2 0 0 36 46 64 -0.3
+18 0 2 0 0 36 47 64 -0.15
+18 0 2 0 0 36 48 64 -4.44089209850063e-16
+18 0 2 0 0 36 49 64 0.15
+18 0 2 0 0 36 50 64 0.3
+18 0 2 0 0 36 51 64 0.45
+18 0 2 0 0 36 52 64 0.6
+18 0 2 0 0 36 53 64 0.75
+18 0 2 0 0 36 54 64 0.899999999999999
+18 0 2 0 0 36 55 64 1.05
+18 0 2 0 0 36 56 64 1.2
+18 0 2 0 0 36 57 64 1.35
+18 0 2 0 0 36 58 64 1.5
+18 0 2 0 0 36 59 64 1.65
+18 0 2 0 0 36 60 64 1.8
+18 0 2 0 0 36 61 64 1.95
+18 0 2 0 0 36 62 64 2.1
+18 0 2 0 0 36 63 64 2.25
+18 0 2 0 0 36 64 64 2.4
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 -3.3
+18 0 1 0 0 36 28 64 -3
+18 0 1 0 0 36 30 64 -2.7
+18 0 1 0 0 36 32 64 -2.4
+18 0 1 0 0 36 34 64 -2.1
+18 0 1 0 0 36 36 64 -1.8
+18 0 1 0 0 36 38 64 -1.5
+18 0 1 0 0 36 40 64 -1.2
+18 0 1 0 0 36 42 64 -0.9
+18 0 1 0 0 36 44 64 -0.6
+18 0 1 0 0 36 46 64 -0.3
+18 0 1 0 0 36 48 64 -4.44089209850063e-16
+18 0 1 0 0 36 50 64 0.3
+18 0 1 0 0 36 52 64 0.6
+18 0 1 0 0 36 54 64 0.899999999999999
+18 0 1 0 0 36 56 64 1.2
+18 0 1 0 0 36 58 64 1.5
+18 0 1 0 0 36 60 64 1.8
+18 0 1 0 0 36 62 64 2.1
+18 0 1 0 0 36 64 64 2.4
+18 0 1 0 0 36 66 64 2.7
+18 0 1 0 0 36 68 64 3
+18 0 1 0 0 36 70 64 3.3
+18 0 1 0 0 36 72 64 3.6
+18 0 1 0 0 36 74 64 3.9
+18 0 1 0 0 36 76 64 4.2
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 -1.35
+19 0 2 0 0 36 40 64 -1.2
+19 0 2 0 0 36 41 64 -1.05
+19 0 2 0 0 36 42 64 -0.9
+19 0 2 0 0 36 43 64 -0.75
+19 0 2 0 0 36 44 64 -0.6
+19 0 2 0 0 36 45 64 -0.45
+19 0 2 0 0 36 46 64 -0.3
+19 0 2 0 0 36 47 64 -0.15
+19 0 2 0 0 36 48 64 -4.44089209850063e-16
+19 0 2 0 0 36 49 64 0.15
+19 0 2 0 0 36 50 64 0.3
+19 0 2 0 0 36 51 64 0.45
+19 0 2 0 0 36 52 64 0.6
+19 0 2 0 0 36 53 64 0.75
+19 0 2 0 0 36 54 64 0.899999999999999
+19 0 2 0 0 36 55 64 1.05
+19 0 2 0 0 36 56 64 1.2
+19 0 2 0 0 36 57 64 1.35
+19 0 2 0 0 36 58 64 1.5
+19 0 2 0 0 36 59 64 1.65
+19 0 2 0 0 36 60 64 1.8
+19 0 2 0 0 36 61 64 1.95
+19 0 2 0 0 36 62 64 2.1
+19 0 2 0 0 36 63 64 2.25
+19 0 2 0 0 36 64 64 2.4
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 -1.35
+20 0 2 0 0 36 40 64 -1.2
+20 0 2 0 0 36 41 64 -1.05
+20 0 2 0 0 36 42 64 -0.9
+20 0 2 0 0 36 43 64 -0.75
+20 0 2 0 0 36 44 64 -0.6
+20 0 2 0 0 36 45 64 -0.45
+20 0 2 0 0 36 46 64 -0.3
+20 0 2 0 0 36 47 64 -0.15
+20 0 2 0 0 36 48 64 -4.44089209850063e-16
+20 0 2 0 0 36 49 64 0.15
+20 0 2 0 0 36 50 64 0.3
+20 0 2 0 0 36 51 64 0.45
+20 0 2 0 0 36 52 64 0.6
+20 0 2 0 0 36 53 64 0.75
+20 0 2 0 0 36 54 64 0.899999999999999
+20 0 2 0 0 36 55 64 1.05
+20 0 2 0 0 36 56 64 1.2
+20 0 2 0 0 36 57 64 1.35
+20 0 2 0 0 36 58 64 1.5
+20 0 2 0 0 36 59 64 1.65
+20 0 2 0 0 36 60 64 1.8
+20 0 2 0 0 36 61 64 1.95
+20 0 2 0 0 36 62 64 2.1
+20 0 2 0 0 36 63 64 2.25
+20 0 2 0 0 36 64 64 2.4
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 -3.3
+20 0 1 0 0 36 28 64 -3
+20 0 1 0 0 36 30 64 -2.7
+20 0 1 0 0 36 32 64 -2.4
+20 0 1 0 0 36 34 64 -2.1
+20 0 1 0 0 36 36 64 -1.8
+20 0 1 0 0 36 38 64 -1.5
+20 0 1 0 0 36 40 64 -1.2
+20 0 1 0 0 36 42 64 -0.9
+20 0 1 0 0 36 44 64 -0.6
+20 0 1 0 0 36 46 64 -0.3
+20 0 1 0 0 36 48 64 -4.44089209850063e-16
+20 0 1 0 0 36 50 64 0.3
+20 0 1 0 0 36 52 64 0.6
+20 0 1 0 0 36 54 64 0.899999999999999
+20 0 1 0 0 36 56 64 1.2
+20 0 1 0 0 36 58 64 1.5
+20 0 1 0 0 36 60 64 1.8
+20 0 1 0 0 36 62 64 2.1
+20 0 1 0 0 36 64 64 2.4
+20 0 1 0 0 36 66 64 2.7
+20 0 1 0 0 36 68 64 3
+20 0 1 0 0 36 70 64 3.3
+20 0 1 0 0 36 72 64 3.6
+20 0 1 0 0 36 74 64 3.9
+20 0 1 0 0 36 76 64 4.2
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 -7.2
+20 0 0 0 0 36 4 64 -6.6
+20 0 0 0 0 36 8 64 -6
+20 0 0 0 0 36 12 64 -5.4
+20 0 0 0 0 36 16 64 -4.8
+20 0 0 0 0 36 20 64 -4.2
+20 0 0 0 0 36 24 64 -3.6
+20 0 0 0 0 36 28 64 -3
+20 0 0 0 0 36 32 64 -2.4
+20 0 0 0 0 36 36 64 -1.8
+20 0 0 0 0 36 40 64 -1.2
+20 0 0 0 0 36 44 64 -0.6
+20 0 0 0 0 36 48 64 -4.44089209850063e-16
+20 0 0 0 0 36 52 64 0.6
+20 0 0 0 0 36 56 64 1.2
+20 0 0 0 0 36 60 64 1.8
+20 0 0 0 0 36 64 64 2.4
+20 0 0 0 0 36 68 64 3
+20 0 0 0 0 36 72 64 3.6
+20 0 0 0 0 36 76 64 4.2
+20 0 0 0 0 36 80 64 4.8
+20 0 0 0 0 36 84 64 5.4
+20 0 0 0 0 36 88 64 6
+20 0 0 0 0 36 92 64 6.6
+20 0 0 0 0 36 96 64 7.2
+20 0 0 0 0 36 100 64 7.8
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 -1.35
+21 0 2 0 0 36 40 64 -1.2
+21 0 2 0 0 36 41 64 -1.05
+21 0 2 0 0 36 42 64 -0.9
+21 0 2 0 0 36 43 64 -0.75
+21 0 2 0 0 36 44 64 -0.6
+21 0 2 0 0 36 45 64 -0.45
+21 0 2 0 0 36 46 64 -0.3
+21 0 2 0 0 36 47 64 -0.15
+21 0 2 0 0 36 48 64 -4.44089209850063e-16
+21 0 2 0 0 36 49 64 0.15
+21 0 2 0 0 36 50 64 0.3
+21 0 2 0 0 36 51 64 0.45
+21 0 2 0 0 36 52 64 0.6
+21 0 2 0 0 36 53 64 0.75
+21 0 2 0 0 36 54 64 0.899999999999999
+21 0 2 0 0 36 55 64 1.05
+21 0 2 0 0 36 56 64 1.2
+21 0 2 0 0 36 57 64 1.35
+21 0 2 0 0 36 58 64 1.5
+21 0 2 0 0 36 59 64 1.65
+21 0 2 0 0 36 60 64 1.8
+21 0 2 0 0 36 61 64 1.95
+21 0 2 0 0 36 62 64 2.1
+21 0 2 0 0 36 63 64 2.25
+21 0 2 0 0 36 64 64 2.4
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 -1.35
+22 0 2 0 0 36 40 64 -1.2
+22 0 2 0 0 36 41 64 -1.05
+22 0 2 0 0 36 42 64 -0.9
+22 0 2 0 0 36 43 64 -0.75
+22 0 2 0 0 36 44 64 -0.6
+22 0 2 0 0 36 45 64 -0.45
+22 0 2 0 0 36 46 64 -0.3
+22 0 2 0 0 36 47 64 -0.15
+22 0 2 0 0 36 48 64 -4.44089209850063e-16
+22 0 2 0 0 36 49 64 0.15
+22 0 2 0 0 36 50 64 0.3
+22 0 2 0 0 36 51 64 0.45
+22 0 2 0 0 36 52 64 0.6
+22 0 2 0 0 36 53 64 0.75
+22 0 2 0 0 36 54 64 0.899999999999999
+22 0 2 0 0 36 55 64 1.05
+22 0 2 0 0 36 56 64 1.2
+22 0 2 0 0 36 57 64 1.35
+22 0 2 0 0 36 58 64 1.5
+22 0 2 0 0 36 59 64 1.65
+22 0 2 0 0 36 60 64 1.8
+22 0 2 0 0 36 61 64 1.95
+22 0 2 0 0 36 62 64 2.1
+22 0 2 0 0 36 63 64 2.25
+22 0 2 0 0 36 64 64 2.4
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 -3.3
+22 0 1 0 0 36 28 64 -3
+22 0 1 0 0 36 30 64 -2.7
+22 0 1 0 0 36 32 64 -2.4
+22 0 1 0 0 36 34 64 -2.1
+22 0 1 0 0 36 36 64 -1.8
+22 0 1 0 0 36 38 64 -1.5
+22 0 1 0 0 36 40 64 -1.2
+22 0 1 0 0 36 42 64 -0.9
+22 0 1 0 0 36 44 64 -0.6
+22 0 1 0 0 36 46 64 -0.3
+22 0 1 0 0 36 48 64 -4.44089209850063e-16
+22 0 1 0 0 36 50 64 0.3
+22 0 1 0 0 36 52 64 0.6
+22 0 1 0 0 36 54 64 0.899999999999999
+22 0 1 0 0 36 56 64 1.2
+22 0 1 0 0 36 58 64 1.5
+22 0 1 0 0 36 60 64 1.8
+22 0 1 0 0 36 62 64 2.1
+22 0 1 0 0 36 64 64 2.4
+22 0 1 0 0 36 66 64 2.7
+22 0 1 0 0 36 68 64 3
+22 0 1 0 0 36 70 64 3.3
+22 0 1 0 0 36 72 64 3.6
+22 0 1 0 0 36 74 64 3.9
+22 0 1 0 0 36 76 64 4.2
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 -1.35
+23 0 2 0 0 36 40 64 -1.2
+23 0 2 0 0 36 41 64 -1.05
+23 0 2 0 0 36 42 64 -0.9
+23 0 2 0 0 36 43 64 -0.75
+23 0 2 0 0 36 44 64 -0.6
+23 0 2 0 0 36 45 64 -0.45
+23 0 2 0 0 36 46 64 -0.3
+23 0 2 0 0 36 47 64 -0.15
+23 0 2 0 0 36 48 64 -4.44089209850063e-16
+23 0 2 0 0 36 49 64 0.15
+23 0 2 0 0 36 50 64 0.3
+23 0 2 0 0 36 51 64 0.45
+23 0 2 0 0 36 52 64 0.6
+23 0 2 0 0 36 53 64 0.75
+23 0 2 0 0 36 54 64 0.899999999999999
+23 0 2 0 0 36 55 64 1.05
+23 0 2 0 0 36 56 64 1.2
+23 0 2 0 0 36 57 64 1.35
+23 0 2 0 0 36 58 64 1.5
+23 0 2 0 0 36 59 64 1.65
+23 0 2 0 0 36 60 64 1.8
+23 0 2 0 0 36 61 64 1.95
+23 0 2 0 0 36 62 64 2.1
+23 0 2 0 0 36 63 64 2.25
+23 0 2 0 0 36 64 64 2.4
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 -1.35
+24 0 2 0 0 36 40 64 -1.2
+24 0 2 0 0 36 41 64 -1.05
+24 0 2 0 0 36 42 64 -0.9
+24 0 2 0 0 36 43 64 -0.75
+24 0 2 0 0 36 44 64 -0.6
+24 0 2 0 0 36 45 64 -0.45
+24 0 2 0 0 36 46 64 -0.3
+24 0 2 0 0 36 47 64 -0.15
+24 0 2 0 0 36 48 64 -4.44089209850063e-16
+24 0 2 0 0 36 49 64 0.15
+24 0 2 0 0 36 50 64 0.3
+24 0 2 0 0 36 51 64 0.45
+24 0 2 0 0 36 52 64 0.6
+24 0 2 0 0 36 53 64 0.75
+24 0 2 0 0 36 54 64 0.899999999999999
+24 0 2 0 0 36 55 64 1.05
+24 0 2 0 0 36 56 64 1.2
+24 0 2 0 0 36 57 64 1.35
+24 0 2 0 0 36 58 64 1.5
+24 0 2 0 0 36 59 64 1.65
+24 0 2 0 0 36 60 64 1.8
+24 0 2 0 0 36 61 64 1.95
+24 0 2 0 0 36 62 64 2.1
+24 0 2 0 0 36 63 64 2.25
+24 0 2 0 0 36 64 64 2.4
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 -3.3
+24 0 1 0 0 36 28 64 -3
+24 0 1 0 0 36 30 64 -2.7
+24 0 1 0 0 36 32 64 -2.4
+24 0 1 0 0 36 34 64 -2.1
+24 0 1 0 0 36 36 64 -1.8
+24 0 1 0 0 36 38 64 -1.5
+24 0 1 0 0 36 40 64 -1.2
+24 0 1 0 0 36 42 64 -0.9
+24 0 1 0 0 36 44 64 -0.6
+24 0 1 0 0 36 46 64 -0.3
+24 0 1 0 0 36 48 64 -4.44089209850063e-16
+24 0 1 0 0 36 50 64 0.3
+24 0 1 0 0 36 52 64 0.6
+24 0 1 0 0 36 54 64 0.899999999999999
+24 0 1 0 0 36 56 64 1.2
+24 0 1 0 0 36 58 64 1.5
+24 0 1 0 0 36 60 64 1.8
+24 0 1 0 0 36 62 64 2.1
+24 0 1 0 0 36 64 64 2.4
+24 0 1 0 0 36 66 64 2.7
+24 0 1 0 0 36 68 64 3
+24 0 1 0 0 36 70 64 3.3
+24 0 1 0 0 36 72 64 3.6
+24 0 1 0 0 36 74 64 3.9
+24 0 1 0 0 36 76 64 4.2
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 -7.2
+24 0 0 0 0 36 4 64 -6.6
+24 0 0 0 0 36 8 64 -6
+24 0 0 0 0 36 12 64 -5.4
+24 0 0 0 0 36 16 64 -4.8
+24 0 0 0 0 36 20 64 -4.2
+24 0 0 0 0 36 24 64 -3.6
+24 0 0 0 0 36 28 64 -3
+24 0 0 0 0 36 32 64 -2.4
+24 0 0 0 0 36 36 64 -1.8
+24 0 0 0 0 36 40 64 -1.2
+24 0 0 0 0 36 44 64 -0.6
+24 0 0 0 0 36 48 64 -4.44089209850063e-16
+24 0 0 0 0 36 52 64 0.6
+24 0 0 0 0 36 56 64 1.2
+24 0 0 0 0 36 60 64 1.8
+24 0 0 0 0 36 64 64 2.4
+24 0 0 0 0 36 68 64 3
+24 0 0 0 0 36 72 64 3.6
+24 0 0 0 0 36 76 64 4.2
+24 0 0 0 0 36 80 64 4.8
+24 0 0 0 0 36 84 64 5.4
+24 0 0 0 0 36 88 64 6
+24 0 0 0 0 36 92 64 6.6
+24 0 0 0 0 36 96 64 7.2
+24 0 0 0 0 36 100 64 7.8
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_y.zl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_y.zl
new file mode 100644
index 000000000..a9be0a73d
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_y.zl
@@ -0,0 +1,1757 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 -4.44089209850063e-16
+0 0 2 0 0 36 48 52 -4.44089209850063e-16
+0 0 2 0 0 36 48 53 -4.44089209850063e-16
+0 0 2 0 0 36 48 54 -4.44089209850063e-16
+0 0 2 0 0 36 48 55 -4.44089209850063e-16
+0 0 2 0 0 36 48 56 -4.44089209850063e-16
+0 0 2 0 0 36 48 57 -4.44089209850063e-16
+0 0 2 0 0 36 48 58 -4.44089209850063e-16
+0 0 2 0 0 36 48 59 -4.44089209850063e-16
+0 0 2 0 0 36 48 60 -4.44089209850063e-16
+0 0 2 0 0 36 48 61 -4.44089209850063e-16
+0 0 2 0 0 36 48 62 -4.44089209850063e-16
+0 0 2 0 0 36 48 63 -4.44089209850063e-16
+0 0 2 0 0 36 48 64 -4.44089209850063e-16
+0 0 2 0 0 36 48 65 -4.44089209850063e-16
+0 0 2 0 0 36 48 66 -4.44089209850063e-16
+0 0 2 0 0 36 48 67 -4.44089209850063e-16
+0 0 2 0 0 36 48 68 -4.44089209850063e-16
+0 0 2 0 0 36 48 69 -4.44089209850063e-16
+0 0 2 0 0 36 48 70 -4.44089209850063e-16
+0 0 2 0 0 36 48 71 -4.44089209850063e-16
+0 0 2 0 0 36 48 72 -4.44089209850063e-16
+0 0 2 0 0 36 48 73 -4.44089209850063e-16
+0 0 2 0 0 36 48 74 -4.44089209850063e-16
+0 0 2 0 0 36 48 75 -4.44089209850063e-16
+0 0 2 0 0 36 48 76 -4.44089209850063e-16
+0 0 2 0 0 36 48 77 -4.44089209850063e-16
+0 0 2 0 0 36 48 78 -4.44089209850063e-16
+0 0 2 0 0 36 48 79 -4.44089209850063e-16
+0 0 2 0 0 36 48 80 -4.44089209850063e-16
+0 0 2 0 0 36 48 81 -4.44089209850063e-16
+0 0 2 0 0 36 48 82 -4.44089209850063e-16
+0 0 2 0 0 36 48 83 -4.44089209850063e-16
+0 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -4.44089209850063e-16
+0 0 1 0 0 36 48 36 -4.44089209850063e-16
+0 0 1 0 0 36 48 38 -4.44089209850063e-16
+0 0 1 0 0 36 48 40 -4.44089209850063e-16
+0 0 1 0 0 36 48 42 -4.44089209850063e-16
+0 0 1 0 0 36 48 44 -4.44089209850063e-16
+0 0 1 0 0 36 48 46 -4.44089209850063e-16
+0 0 1 0 0 36 48 48 -4.44089209850063e-16
+0 0 1 0 0 36 48 50 -4.44089209850063e-16
+0 0 1 0 0 36 48 52 -4.44089209850063e-16
+0 0 1 0 0 36 48 54 -4.44089209850063e-16
+0 0 1 0 0 36 48 56 -4.44089209850063e-16
+0 0 1 0 0 36 48 58 -4.44089209850063e-16
+0 0 1 0 0 36 48 60 -4.44089209850063e-16
+0 0 1 0 0 36 48 62 -4.44089209850063e-16
+0 0 1 0 0 36 48 64 -4.44089209850063e-16
+0 0 1 0 0 36 48 66 -4.44089209850063e-16
+0 0 1 0 0 36 48 68 -4.44089209850063e-16
+0 0 1 0 0 36 48 70 -4.44089209850063e-16
+0 0 1 0 0 36 48 72 -4.44089209850063e-16
+0 0 1 0 0 36 48 74 -4.44089209850063e-16
+0 0 1 0 0 36 48 76 -4.44089209850063e-16
+0 0 1 0 0 36 48 78 -4.44089209850063e-16
+0 0 1 0 0 36 48 80 -4.44089209850063e-16
+0 0 1 0 0 36 48 82 -4.44089209850063e-16
+0 0 1 0 0 36 48 84 -4.44089209850063e-16
+0 0 1 0 0 36 48 86 -4.44089209850063e-16
+0 0 1 0 0 36 48 88 -4.44089209850063e-16
+0 0 1 0 0 36 48 90 -4.44089209850063e-16
+0 0 1 0 0 36 48 92 -4.44089209850063e-16
+0 0 1 0 0 36 48 94 -4.44089209850063e-16
+0 0 1 0 0 36 48 96 -4.44089209850063e-16
+0 0 1 0 0 36 48 98 -4.44089209850063e-16
+0 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 -4.44089209850063e-16
+0 0 0 0 0 36 48 4 -4.44089209850063e-16
+0 0 0 0 0 36 48 8 -4.44089209850063e-16
+0 0 0 0 0 36 48 12 -4.44089209850063e-16
+0 0 0 0 0 36 48 16 -4.44089209850063e-16
+0 0 0 0 0 36 48 20 -4.44089209850063e-16
+0 0 0 0 0 36 48 24 -4.44089209850063e-16
+0 0 0 0 0 36 48 28 -4.44089209850063e-16
+0 0 0 0 0 36 48 32 -4.44089209850063e-16
+0 0 0 0 0 36 48 36 -4.44089209850063e-16
+0 0 0 0 0 36 48 40 -4.44089209850063e-16
+0 0 0 0 0 36 48 44 -4.44089209850063e-16
+0 0 0 0 0 36 48 48 -4.44089209850063e-16
+0 0 0 0 0 36 48 52 -4.44089209850063e-16
+0 0 0 0 0 36 48 56 -4.44089209850063e-16
+0 0 0 0 0 36 48 60 -4.44089209850063e-16
+0 0 0 0 0 36 48 64 -4.44089209850063e-16
+0 0 0 0 0 36 48 68 -4.44089209850063e-16
+0 0 0 0 0 36 48 72 -4.44089209850063e-16
+0 0 0 0 0 36 48 76 -4.44089209850063e-16
+0 0 0 0 0 36 48 80 -4.44089209850063e-16
+0 0 0 0 0 36 48 84 -4.44089209850063e-16
+0 0 0 0 0 36 48 88 -4.44089209850063e-16
+0 0 0 0 0 36 48 92 -4.44089209850063e-16
+0 0 0 0 0 36 48 96 -4.44089209850063e-16
+0 0 0 0 0 36 48 100 -4.44089209850063e-16
+0 0 0 0 0 36 48 104 -4.44089209850063e-16
+0 0 0 0 0 36 48 108 -4.44089209850063e-16
+0 0 0 0 0 36 48 112 -4.44089209850063e-16
+0 0 0 0 0 36 48 116 -4.44089209850063e-16
+0 0 0 0 0 36 48 120 -4.44089209850063e-16
+0 0 0 0 0 36 48 124 -4.44089209850063e-16
+0 0 0 0 0 36 48 128 -4.44089209850063e-16
+0 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 -4.44089209850063e-16
+1 0 2 0 0 36 48 52 -4.44089209850063e-16
+1 0 2 0 0 36 48 53 -4.44089209850063e-16
+1 0 2 0 0 36 48 54 -4.44089209850063e-16
+1 0 2 0 0 36 48 55 -4.44089209850063e-16
+1 0 2 0 0 36 48 56 -4.44089209850063e-16
+1 0 2 0 0 36 48 57 -4.44089209850063e-16
+1 0 2 0 0 36 48 58 -4.44089209850063e-16
+1 0 2 0 0 36 48 59 -4.44089209850063e-16
+1 0 2 0 0 36 48 60 -4.44089209850063e-16
+1 0 2 0 0 36 48 61 -4.44089209850063e-16
+1 0 2 0 0 36 48 62 -4.44089209850063e-16
+1 0 2 0 0 36 48 63 -4.44089209850063e-16
+1 0 2 0 0 36 48 64 -4.44089209850063e-16
+1 0 2 0 0 36 48 65 -4.44089209850063e-16
+1 0 2 0 0 36 48 66 -4.44089209850063e-16
+1 0 2 0 0 36 48 67 -4.44089209850063e-16
+1 0 2 0 0 36 48 68 -4.44089209850063e-16
+1 0 2 0 0 36 48 69 -4.44089209850063e-16
+1 0 2 0 0 36 48 70 -4.44089209850063e-16
+1 0 2 0 0 36 48 71 -4.44089209850063e-16
+1 0 2 0 0 36 48 72 -4.44089209850063e-16
+1 0 2 0 0 36 48 73 -4.44089209850063e-16
+1 0 2 0 0 36 48 74 -4.44089209850063e-16
+1 0 2 0 0 36 48 75 -4.44089209850063e-16
+1 0 2 0 0 36 48 76 -4.44089209850063e-16
+1 0 2 0 0 36 48 77 -4.44089209850063e-16
+1 0 2 0 0 36 48 78 -4.44089209850063e-16
+1 0 2 0 0 36 48 79 -4.44089209850063e-16
+1 0 2 0 0 36 48 80 -4.44089209850063e-16
+1 0 2 0 0 36 48 81 -4.44089209850063e-16
+1 0 2 0 0 36 48 82 -4.44089209850063e-16
+1 0 2 0 0 36 48 83 -4.44089209850063e-16
+1 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 -4.44089209850063e-16
+2 0 2 0 0 36 48 52 -4.44089209850063e-16
+2 0 2 0 0 36 48 53 -4.44089209850063e-16
+2 0 2 0 0 36 48 54 -4.44089209850063e-16
+2 0 2 0 0 36 48 55 -4.44089209850063e-16
+2 0 2 0 0 36 48 56 -4.44089209850063e-16
+2 0 2 0 0 36 48 57 -4.44089209850063e-16
+2 0 2 0 0 36 48 58 -4.44089209850063e-16
+2 0 2 0 0 36 48 59 -4.44089209850063e-16
+2 0 2 0 0 36 48 60 -4.44089209850063e-16
+2 0 2 0 0 36 48 61 -4.44089209850063e-16
+2 0 2 0 0 36 48 62 -4.44089209850063e-16
+2 0 2 0 0 36 48 63 -4.44089209850063e-16
+2 0 2 0 0 36 48 64 -4.44089209850063e-16
+2 0 2 0 0 36 48 65 -4.44089209850063e-16
+2 0 2 0 0 36 48 66 -4.44089209850063e-16
+2 0 2 0 0 36 48 67 -4.44089209850063e-16
+2 0 2 0 0 36 48 68 -4.44089209850063e-16
+2 0 2 0 0 36 48 69 -4.44089209850063e-16
+2 0 2 0 0 36 48 70 -4.44089209850063e-16
+2 0 2 0 0 36 48 71 -4.44089209850063e-16
+2 0 2 0 0 36 48 72 -4.44089209850063e-16
+2 0 2 0 0 36 48 73 -4.44089209850063e-16
+2 0 2 0 0 36 48 74 -4.44089209850063e-16
+2 0 2 0 0 36 48 75 -4.44089209850063e-16
+2 0 2 0 0 36 48 76 -4.44089209850063e-16
+2 0 2 0 0 36 48 77 -4.44089209850063e-16
+2 0 2 0 0 36 48 78 -4.44089209850063e-16
+2 0 2 0 0 36 48 79 -4.44089209850063e-16
+2 0 2 0 0 36 48 80 -4.44089209850063e-16
+2 0 2 0 0 36 48 81 -4.44089209850063e-16
+2 0 2 0 0 36 48 82 -4.44089209850063e-16
+2 0 2 0 0 36 48 83 -4.44089209850063e-16
+2 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -4.44089209850063e-16
+2 0 1 0 0 36 48 36 -4.44089209850063e-16
+2 0 1 0 0 36 48 38 -4.44089209850063e-16
+2 0 1 0 0 36 48 40 -4.44089209850063e-16
+2 0 1 0 0 36 48 42 -4.44089209850063e-16
+2 0 1 0 0 36 48 44 -4.44089209850063e-16
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+2 0 1 0 0 36 48 48 -4.44089209850063e-16
+2 0 1 0 0 36 48 50 -4.44089209850063e-16
+2 0 1 0 0 36 48 52 -4.44089209850063e-16
+2 0 1 0 0 36 48 54 -4.44089209850063e-16
+2 0 1 0 0 36 48 56 -4.44089209850063e-16
+2 0 1 0 0 36 48 58 -4.44089209850063e-16
+2 0 1 0 0 36 48 60 -4.44089209850063e-16
+2 0 1 0 0 36 48 62 -4.44089209850063e-16
+2 0 1 0 0 36 48 64 -4.44089209850063e-16
+2 0 1 0 0 36 48 66 -4.44089209850063e-16
+2 0 1 0 0 36 48 68 -4.44089209850063e-16
+2 0 1 0 0 36 48 70 -4.44089209850063e-16
+2 0 1 0 0 36 48 72 -4.44089209850063e-16
+2 0 1 0 0 36 48 74 -4.44089209850063e-16
+2 0 1 0 0 36 48 76 -4.44089209850063e-16
+2 0 1 0 0 36 48 78 -4.44089209850063e-16
+2 0 1 0 0 36 48 80 -4.44089209850063e-16
+2 0 1 0 0 36 48 82 -4.44089209850063e-16
+2 0 1 0 0 36 48 84 -4.44089209850063e-16
+2 0 1 0 0 36 48 86 -4.44089209850063e-16
+2 0 1 0 0 36 48 88 -4.44089209850063e-16
+2 0 1 0 0 36 48 90 -4.44089209850063e-16
+2 0 1 0 0 36 48 92 -4.44089209850063e-16
+2 0 1 0 0 36 48 94 -4.44089209850063e-16
+2 0 1 0 0 36 48 96 -4.44089209850063e-16
+2 0 1 0 0 36 48 98 -4.44089209850063e-16
+2 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 -4.44089209850063e-16
+3 0 2 0 0 36 48 52 -4.44089209850063e-16
+3 0 2 0 0 36 48 53 -4.44089209850063e-16
+3 0 2 0 0 36 48 54 -4.44089209850063e-16
+3 0 2 0 0 36 48 55 -4.44089209850063e-16
+3 0 2 0 0 36 48 56 -4.44089209850063e-16
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+3 0 2 0 0 36 48 58 -4.44089209850063e-16
+3 0 2 0 0 36 48 59 -4.44089209850063e-16
+3 0 2 0 0 36 48 60 -4.44089209850063e-16
+3 0 2 0 0 36 48 61 -4.44089209850063e-16
+3 0 2 0 0 36 48 62 -4.44089209850063e-16
+3 0 2 0 0 36 48 63 -4.44089209850063e-16
+3 0 2 0 0 36 48 64 -4.44089209850063e-16
+3 0 2 0 0 36 48 65 -4.44089209850063e-16
+3 0 2 0 0 36 48 66 -4.44089209850063e-16
+3 0 2 0 0 36 48 67 -4.44089209850063e-16
+3 0 2 0 0 36 48 68 -4.44089209850063e-16
+3 0 2 0 0 36 48 69 -4.44089209850063e-16
+3 0 2 0 0 36 48 70 -4.44089209850063e-16
+3 0 2 0 0 36 48 71 -4.44089209850063e-16
+3 0 2 0 0 36 48 72 -4.44089209850063e-16
+3 0 2 0 0 36 48 73 -4.44089209850063e-16
+3 0 2 0 0 36 48 74 -4.44089209850063e-16
+3 0 2 0 0 36 48 75 -4.44089209850063e-16
+3 0 2 0 0 36 48 76 -4.44089209850063e-16
+3 0 2 0 0 36 48 77 -4.44089209850063e-16
+3 0 2 0 0 36 48 78 -4.44089209850063e-16
+3 0 2 0 0 36 48 79 -4.44089209850063e-16
+3 0 2 0 0 36 48 80 -4.44089209850063e-16
+3 0 2 0 0 36 48 81 -4.44089209850063e-16
+3 0 2 0 0 36 48 82 -4.44089209850063e-16
+3 0 2 0 0 36 48 83 -4.44089209850063e-16
+3 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 -4.44089209850063e-16
+4 0 2 0 0 36 48 52 -4.44089209850063e-16
+4 0 2 0 0 36 48 53 -4.44089209850063e-16
+4 0 2 0 0 36 48 54 -4.44089209850063e-16
+4 0 2 0 0 36 48 55 -4.44089209850063e-16
+4 0 2 0 0 36 48 56 -4.44089209850063e-16
+4 0 2 0 0 36 48 57 -4.44089209850063e-16
+4 0 2 0 0 36 48 58 -4.44089209850063e-16
+4 0 2 0 0 36 48 59 -4.44089209850063e-16
+4 0 2 0 0 36 48 60 -4.44089209850063e-16
+4 0 2 0 0 36 48 61 -4.44089209850063e-16
+4 0 2 0 0 36 48 62 -4.44089209850063e-16
+4 0 2 0 0 36 48 63 -4.44089209850063e-16
+4 0 2 0 0 36 48 64 -4.44089209850063e-16
+4 0 2 0 0 36 48 65 -4.44089209850063e-16
+4 0 2 0 0 36 48 66 -4.44089209850063e-16
+4 0 2 0 0 36 48 67 -4.44089209850063e-16
+4 0 2 0 0 36 48 68 -4.44089209850063e-16
+4 0 2 0 0 36 48 69 -4.44089209850063e-16
+4 0 2 0 0 36 48 70 -4.44089209850063e-16
+4 0 2 0 0 36 48 71 -4.44089209850063e-16
+4 0 2 0 0 36 48 72 -4.44089209850063e-16
+4 0 2 0 0 36 48 73 -4.44089209850063e-16
+4 0 2 0 0 36 48 74 -4.44089209850063e-16
+4 0 2 0 0 36 48 75 -4.44089209850063e-16
+4 0 2 0 0 36 48 76 -4.44089209850063e-16
+4 0 2 0 0 36 48 77 -4.44089209850063e-16
+4 0 2 0 0 36 48 78 -4.44089209850063e-16
+4 0 2 0 0 36 48 79 -4.44089209850063e-16
+4 0 2 0 0 36 48 80 -4.44089209850063e-16
+4 0 2 0 0 36 48 81 -4.44089209850063e-16
+4 0 2 0 0 36 48 82 -4.44089209850063e-16
+4 0 2 0 0 36 48 83 -4.44089209850063e-16
+4 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -4.44089209850063e-16
+4 0 1 0 0 36 48 36 -4.44089209850063e-16
+4 0 1 0 0 36 48 38 -4.44089209850063e-16
+4 0 1 0 0 36 48 40 -4.44089209850063e-16
+4 0 1 0 0 36 48 42 -4.44089209850063e-16
+4 0 1 0 0 36 48 44 -4.44089209850063e-16
+4 0 1 0 0 36 48 46 -4.44089209850063e-16
+4 0 1 0 0 36 48 48 -4.44089209850063e-16
+4 0 1 0 0 36 48 50 -4.44089209850063e-16
+4 0 1 0 0 36 48 52 -4.44089209850063e-16
+4 0 1 0 0 36 48 54 -4.44089209850063e-16
+4 0 1 0 0 36 48 56 -4.44089209850063e-16
+4 0 1 0 0 36 48 58 -4.44089209850063e-16
+4 0 1 0 0 36 48 60 -4.44089209850063e-16
+4 0 1 0 0 36 48 62 -4.44089209850063e-16
+4 0 1 0 0 36 48 64 -4.44089209850063e-16
+4 0 1 0 0 36 48 66 -4.44089209850063e-16
+4 0 1 0 0 36 48 68 -4.44089209850063e-16
+4 0 1 0 0 36 48 70 -4.44089209850063e-16
+4 0 1 0 0 36 48 72 -4.44089209850063e-16
+4 0 1 0 0 36 48 74 -4.44089209850063e-16
+4 0 1 0 0 36 48 76 -4.44089209850063e-16
+4 0 1 0 0 36 48 78 -4.44089209850063e-16
+4 0 1 0 0 36 48 80 -4.44089209850063e-16
+4 0 1 0 0 36 48 82 -4.44089209850063e-16
+4 0 1 0 0 36 48 84 -4.44089209850063e-16
+4 0 1 0 0 36 48 86 -4.44089209850063e-16
+4 0 1 0 0 36 48 88 -4.44089209850063e-16
+4 0 1 0 0 36 48 90 -4.44089209850063e-16
+4 0 1 0 0 36 48 92 -4.44089209850063e-16
+4 0 1 0 0 36 48 94 -4.44089209850063e-16
+4 0 1 0 0 36 48 96 -4.44089209850063e-16
+4 0 1 0 0 36 48 98 -4.44089209850063e-16
+4 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 -4.44089209850063e-16
+4 0 0 0 0 36 48 4 -4.44089209850063e-16
+4 0 0 0 0 36 48 8 -4.44089209850063e-16
+4 0 0 0 0 36 48 12 -4.44089209850063e-16
+4 0 0 0 0 36 48 16 -4.44089209850063e-16
+4 0 0 0 0 36 48 20 -4.44089209850063e-16
+4 0 0 0 0 36 48 24 -4.44089209850063e-16
+4 0 0 0 0 36 48 28 -4.44089209850063e-16
+4 0 0 0 0 36 48 32 -4.44089209850063e-16
+4 0 0 0 0 36 48 36 -4.44089209850063e-16
+4 0 0 0 0 36 48 40 -4.44089209850063e-16
+4 0 0 0 0 36 48 44 -4.44089209850063e-16
+4 0 0 0 0 36 48 48 -4.44089209850063e-16
+4 0 0 0 0 36 48 52 -4.44089209850063e-16
+4 0 0 0 0 36 48 56 -4.44089209850063e-16
+4 0 0 0 0 36 48 60 -4.44089209850063e-16
+4 0 0 0 0 36 48 64 -4.44089209850063e-16
+4 0 0 0 0 36 48 68 -4.44089209850063e-16
+4 0 0 0 0 36 48 72 -4.44089209850063e-16
+4 0 0 0 0 36 48 76 -4.44089209850063e-16
+4 0 0 0 0 36 48 80 -4.44089209850063e-16
+4 0 0 0 0 36 48 84 -4.44089209850063e-16
+4 0 0 0 0 36 48 88 -4.44089209850063e-16
+4 0 0 0 0 36 48 92 -4.44089209850063e-16
+4 0 0 0 0 36 48 96 -4.44089209850063e-16
+4 0 0 0 0 36 48 100 -4.44089209850063e-16
+4 0 0 0 0 36 48 104 -4.44089209850063e-16
+4 0 0 0 0 36 48 108 -4.44089209850063e-16
+4 0 0 0 0 36 48 112 -4.44089209850063e-16
+4 0 0 0 0 36 48 116 -4.44089209850063e-16
+4 0 0 0 0 36 48 120 -4.44089209850063e-16
+4 0 0 0 0 36 48 124 -4.44089209850063e-16
+4 0 0 0 0 36 48 128 -4.44089209850063e-16
+4 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 -4.44089209850063e-16
+5 0 2 0 0 36 48 52 -4.44089209850063e-16
+5 0 2 0 0 36 48 53 -4.44089209850063e-16
+5 0 2 0 0 36 48 54 -4.44089209850063e-16
+5 0 2 0 0 36 48 55 -4.44089209850063e-16
+5 0 2 0 0 36 48 56 -4.44089209850063e-16
+5 0 2 0 0 36 48 57 -4.44089209850063e-16
+5 0 2 0 0 36 48 58 -4.44089209850063e-16
+5 0 2 0 0 36 48 59 -4.44089209850063e-16
+5 0 2 0 0 36 48 60 -4.44089209850063e-16
+5 0 2 0 0 36 48 61 -4.44089209850063e-16
+5 0 2 0 0 36 48 62 -4.44089209850063e-16
+5 0 2 0 0 36 48 63 -4.44089209850063e-16
+5 0 2 0 0 36 48 64 -4.44089209850063e-16
+5 0 2 0 0 36 48 65 -4.44089209850063e-16
+5 0 2 0 0 36 48 66 -4.44089209850063e-16
+5 0 2 0 0 36 48 67 -4.44089209850063e-16
+5 0 2 0 0 36 48 68 -4.44089209850063e-16
+5 0 2 0 0 36 48 69 -4.44089209850063e-16
+5 0 2 0 0 36 48 70 -4.44089209850063e-16
+5 0 2 0 0 36 48 71 -4.44089209850063e-16
+5 0 2 0 0 36 48 72 -4.44089209850063e-16
+5 0 2 0 0 36 48 73 -4.44089209850063e-16
+5 0 2 0 0 36 48 74 -4.44089209850063e-16
+5 0 2 0 0 36 48 75 -4.44089209850063e-16
+5 0 2 0 0 36 48 76 -4.44089209850063e-16
+5 0 2 0 0 36 48 77 -4.44089209850063e-16
+5 0 2 0 0 36 48 78 -4.44089209850063e-16
+5 0 2 0 0 36 48 79 -4.44089209850063e-16
+5 0 2 0 0 36 48 80 -4.44089209850063e-16
+5 0 2 0 0 36 48 81 -4.44089209850063e-16
+5 0 2 0 0 36 48 82 -4.44089209850063e-16
+5 0 2 0 0 36 48 83 -4.44089209850063e-16
+5 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 -4.44089209850063e-16
+6 0 2 0 0 36 48 52 -4.44089209850063e-16
+6 0 2 0 0 36 48 53 -4.44089209850063e-16
+6 0 2 0 0 36 48 54 -4.44089209850063e-16
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+6 0 2 0 0 36 48 56 -4.44089209850063e-16
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+6 0 2 0 0 36 48 58 -4.44089209850063e-16
+6 0 2 0 0 36 48 59 -4.44089209850063e-16
+6 0 2 0 0 36 48 60 -4.44089209850063e-16
+6 0 2 0 0 36 48 61 -4.44089209850063e-16
+6 0 2 0 0 36 48 62 -4.44089209850063e-16
+6 0 2 0 0 36 48 63 -4.44089209850063e-16
+6 0 2 0 0 36 48 64 -4.44089209850063e-16
+6 0 2 0 0 36 48 65 -4.44089209850063e-16
+6 0 2 0 0 36 48 66 -4.44089209850063e-16
+6 0 2 0 0 36 48 67 -4.44089209850063e-16
+6 0 2 0 0 36 48 68 -4.44089209850063e-16
+6 0 2 0 0 36 48 69 -4.44089209850063e-16
+6 0 2 0 0 36 48 70 -4.44089209850063e-16
+6 0 2 0 0 36 48 71 -4.44089209850063e-16
+6 0 2 0 0 36 48 72 -4.44089209850063e-16
+6 0 2 0 0 36 48 73 -4.44089209850063e-16
+6 0 2 0 0 36 48 74 -4.44089209850063e-16
+6 0 2 0 0 36 48 75 -4.44089209850063e-16
+6 0 2 0 0 36 48 76 -4.44089209850063e-16
+6 0 2 0 0 36 48 77 -4.44089209850063e-16
+6 0 2 0 0 36 48 78 -4.44089209850063e-16
+6 0 2 0 0 36 48 79 -4.44089209850063e-16
+6 0 2 0 0 36 48 80 -4.44089209850063e-16
+6 0 2 0 0 36 48 81 -4.44089209850063e-16
+6 0 2 0 0 36 48 82 -4.44089209850063e-16
+6 0 2 0 0 36 48 83 -4.44089209850063e-16
+6 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -4.44089209850063e-16
+6 0 1 0 0 36 48 36 -4.44089209850063e-16
+6 0 1 0 0 36 48 38 -4.44089209850063e-16
+6 0 1 0 0 36 48 40 -4.44089209850063e-16
+6 0 1 0 0 36 48 42 -4.44089209850063e-16
+6 0 1 0 0 36 48 44 -4.44089209850063e-16
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+6 0 1 0 0 36 48 48 -4.44089209850063e-16
+6 0 1 0 0 36 48 50 -4.44089209850063e-16
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+6 0 1 0 0 36 48 54 -4.44089209850063e-16
+6 0 1 0 0 36 48 56 -4.44089209850063e-16
+6 0 1 0 0 36 48 58 -4.44089209850063e-16
+6 0 1 0 0 36 48 60 -4.44089209850063e-16
+6 0 1 0 0 36 48 62 -4.44089209850063e-16
+6 0 1 0 0 36 48 64 -4.44089209850063e-16
+6 0 1 0 0 36 48 66 -4.44089209850063e-16
+6 0 1 0 0 36 48 68 -4.44089209850063e-16
+6 0 1 0 0 36 48 70 -4.44089209850063e-16
+6 0 1 0 0 36 48 72 -4.44089209850063e-16
+6 0 1 0 0 36 48 74 -4.44089209850063e-16
+6 0 1 0 0 36 48 76 -4.44089209850063e-16
+6 0 1 0 0 36 48 78 -4.44089209850063e-16
+6 0 1 0 0 36 48 80 -4.44089209850063e-16
+6 0 1 0 0 36 48 82 -4.44089209850063e-16
+6 0 1 0 0 36 48 84 -4.44089209850063e-16
+6 0 1 0 0 36 48 86 -4.44089209850063e-16
+6 0 1 0 0 36 48 88 -4.44089209850063e-16
+6 0 1 0 0 36 48 90 -4.44089209850063e-16
+6 0 1 0 0 36 48 92 -4.44089209850063e-16
+6 0 1 0 0 36 48 94 -4.44089209850063e-16
+6 0 1 0 0 36 48 96 -4.44089209850063e-16
+6 0 1 0 0 36 48 98 -4.44089209850063e-16
+6 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 -4.44089209850063e-16
+7 0 2 0 0 36 48 52 -4.44089209850063e-16
+7 0 2 0 0 36 48 53 -4.44089209850063e-16
+7 0 2 0 0 36 48 54 -4.44089209850063e-16
+7 0 2 0 0 36 48 55 -4.44089209850063e-16
+7 0 2 0 0 36 48 56 -4.44089209850063e-16
+7 0 2 0 0 36 48 57 -4.44089209850063e-16
+7 0 2 0 0 36 48 58 -4.44089209850063e-16
+7 0 2 0 0 36 48 59 -4.44089209850063e-16
+7 0 2 0 0 36 48 60 -4.44089209850063e-16
+7 0 2 0 0 36 48 61 -4.44089209850063e-16
+7 0 2 0 0 36 48 62 -4.44089209850063e-16
+7 0 2 0 0 36 48 63 -4.44089209850063e-16
+7 0 2 0 0 36 48 64 -4.44089209850063e-16
+7 0 2 0 0 36 48 65 -4.44089209850063e-16
+7 0 2 0 0 36 48 66 -4.44089209850063e-16
+7 0 2 0 0 36 48 67 -4.44089209850063e-16
+7 0 2 0 0 36 48 68 -4.44089209850063e-16
+7 0 2 0 0 36 48 69 -4.44089209850063e-16
+7 0 2 0 0 36 48 70 -4.44089209850063e-16
+7 0 2 0 0 36 48 71 -4.44089209850063e-16
+7 0 2 0 0 36 48 72 -4.44089209850063e-16
+7 0 2 0 0 36 48 73 -4.44089209850063e-16
+7 0 2 0 0 36 48 74 -4.44089209850063e-16
+7 0 2 0 0 36 48 75 -4.44089209850063e-16
+7 0 2 0 0 36 48 76 -4.44089209850063e-16
+7 0 2 0 0 36 48 77 -4.44089209850063e-16
+7 0 2 0 0 36 48 78 -4.44089209850063e-16
+7 0 2 0 0 36 48 79 -4.44089209850063e-16
+7 0 2 0 0 36 48 80 -4.44089209850063e-16
+7 0 2 0 0 36 48 81 -4.44089209850063e-16
+7 0 2 0 0 36 48 82 -4.44089209850063e-16
+7 0 2 0 0 36 48 83 -4.44089209850063e-16
+7 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 -4.44089209850063e-16
+8 0 2 0 0 36 48 52 -4.44089209850063e-16
+8 0 2 0 0 36 48 53 -4.44089209850063e-16
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+8 0 2 0 0 36 48 62 -4.44089209850063e-16
+8 0 2 0 0 36 48 63 -4.44089209850063e-16
+8 0 2 0 0 36 48 64 -4.44089209850063e-16
+8 0 2 0 0 36 48 65 -4.44089209850063e-16
+8 0 2 0 0 36 48 66 -4.44089209850063e-16
+8 0 2 0 0 36 48 67 -4.44089209850063e-16
+8 0 2 0 0 36 48 68 -4.44089209850063e-16
+8 0 2 0 0 36 48 69 -4.44089209850063e-16
+8 0 2 0 0 36 48 70 -4.44089209850063e-16
+8 0 2 0 0 36 48 71 -4.44089209850063e-16
+8 0 2 0 0 36 48 72 -4.44089209850063e-16
+8 0 2 0 0 36 48 73 -4.44089209850063e-16
+8 0 2 0 0 36 48 74 -4.44089209850063e-16
+8 0 2 0 0 36 48 75 -4.44089209850063e-16
+8 0 2 0 0 36 48 76 -4.44089209850063e-16
+8 0 2 0 0 36 48 77 -4.44089209850063e-16
+8 0 2 0 0 36 48 78 -4.44089209850063e-16
+8 0 2 0 0 36 48 79 -4.44089209850063e-16
+8 0 2 0 0 36 48 80 -4.44089209850063e-16
+8 0 2 0 0 36 48 81 -4.44089209850063e-16
+8 0 2 0 0 36 48 82 -4.44089209850063e-16
+8 0 2 0 0 36 48 83 -4.44089209850063e-16
+8 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -4.44089209850063e-16
+8 0 1 0 0 36 48 36 -4.44089209850063e-16
+8 0 1 0 0 36 48 38 -4.44089209850063e-16
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+8 0 1 0 0 36 48 68 -4.44089209850063e-16
+8 0 1 0 0 36 48 70 -4.44089209850063e-16
+8 0 1 0 0 36 48 72 -4.44089209850063e-16
+8 0 1 0 0 36 48 74 -4.44089209850063e-16
+8 0 1 0 0 36 48 76 -4.44089209850063e-16
+8 0 1 0 0 36 48 78 -4.44089209850063e-16
+8 0 1 0 0 36 48 80 -4.44089209850063e-16
+8 0 1 0 0 36 48 82 -4.44089209850063e-16
+8 0 1 0 0 36 48 84 -4.44089209850063e-16
+8 0 1 0 0 36 48 86 -4.44089209850063e-16
+8 0 1 0 0 36 48 88 -4.44089209850063e-16
+8 0 1 0 0 36 48 90 -4.44089209850063e-16
+8 0 1 0 0 36 48 92 -4.44089209850063e-16
+8 0 1 0 0 36 48 94 -4.44089209850063e-16
+8 0 1 0 0 36 48 96 -4.44089209850063e-16
+8 0 1 0 0 36 48 98 -4.44089209850063e-16
+8 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 -4.44089209850063e-16
+8 0 0 0 0 36 48 4 -4.44089209850063e-16
+8 0 0 0 0 36 48 8 -4.44089209850063e-16
+8 0 0 0 0 36 48 12 -4.44089209850063e-16
+8 0 0 0 0 36 48 16 -4.44089209850063e-16
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+8 0 0 0 0 36 48 48 -4.44089209850063e-16
+8 0 0 0 0 36 48 52 -4.44089209850063e-16
+8 0 0 0 0 36 48 56 -4.44089209850063e-16
+8 0 0 0 0 36 48 60 -4.44089209850063e-16
+8 0 0 0 0 36 48 64 -4.44089209850063e-16
+8 0 0 0 0 36 48 68 -4.44089209850063e-16
+8 0 0 0 0 36 48 72 -4.44089209850063e-16
+8 0 0 0 0 36 48 76 -4.44089209850063e-16
+8 0 0 0 0 36 48 80 -4.44089209850063e-16
+8 0 0 0 0 36 48 84 -4.44089209850063e-16
+8 0 0 0 0 36 48 88 -4.44089209850063e-16
+8 0 0 0 0 36 48 92 -4.44089209850063e-16
+8 0 0 0 0 36 48 96 -4.44089209850063e-16
+8 0 0 0 0 36 48 100 -4.44089209850063e-16
+8 0 0 0 0 36 48 104 -4.44089209850063e-16
+8 0 0 0 0 36 48 108 -4.44089209850063e-16
+8 0 0 0 0 36 48 112 -4.44089209850063e-16
+8 0 0 0 0 36 48 116 -4.44089209850063e-16
+8 0 0 0 0 36 48 120 -4.44089209850063e-16
+8 0 0 0 0 36 48 124 -4.44089209850063e-16
+8 0 0 0 0 36 48 128 -4.44089209850063e-16
+8 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 -4.44089209850063e-16
+9 0 2 0 0 36 48 52 -4.44089209850063e-16
+9 0 2 0 0 36 48 53 -4.44089209850063e-16
+9 0 2 0 0 36 48 54 -4.44089209850063e-16
+9 0 2 0 0 36 48 55 -4.44089209850063e-16
+9 0 2 0 0 36 48 56 -4.44089209850063e-16
+9 0 2 0 0 36 48 57 -4.44089209850063e-16
+9 0 2 0 0 36 48 58 -4.44089209850063e-16
+9 0 2 0 0 36 48 59 -4.44089209850063e-16
+9 0 2 0 0 36 48 60 -4.44089209850063e-16
+9 0 2 0 0 36 48 61 -4.44089209850063e-16
+9 0 2 0 0 36 48 62 -4.44089209850063e-16
+9 0 2 0 0 36 48 63 -4.44089209850063e-16
+9 0 2 0 0 36 48 64 -4.44089209850063e-16
+9 0 2 0 0 36 48 65 -4.44089209850063e-16
+9 0 2 0 0 36 48 66 -4.44089209850063e-16
+9 0 2 0 0 36 48 67 -4.44089209850063e-16
+9 0 2 0 0 36 48 68 -4.44089209850063e-16
+9 0 2 0 0 36 48 69 -4.44089209850063e-16
+9 0 2 0 0 36 48 70 -4.44089209850063e-16
+9 0 2 0 0 36 48 71 -4.44089209850063e-16
+9 0 2 0 0 36 48 72 -4.44089209850063e-16
+9 0 2 0 0 36 48 73 -4.44089209850063e-16
+9 0 2 0 0 36 48 74 -4.44089209850063e-16
+9 0 2 0 0 36 48 75 -4.44089209850063e-16
+9 0 2 0 0 36 48 76 -4.44089209850063e-16
+9 0 2 0 0 36 48 77 -4.44089209850063e-16
+9 0 2 0 0 36 48 78 -4.44089209850063e-16
+9 0 2 0 0 36 48 79 -4.44089209850063e-16
+9 0 2 0 0 36 48 80 -4.44089209850063e-16
+9 0 2 0 0 36 48 81 -4.44089209850063e-16
+9 0 2 0 0 36 48 82 -4.44089209850063e-16
+9 0 2 0 0 36 48 83 -4.44089209850063e-16
+9 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 -4.44089209850063e-16
+10 0 2 0 0 36 48 52 -4.44089209850063e-16
+10 0 2 0 0 36 48 53 -4.44089209850063e-16
+10 0 2 0 0 36 48 54 -4.44089209850063e-16
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+10 0 2 0 0 36 48 56 -4.44089209850063e-16
+10 0 2 0 0 36 48 57 -4.44089209850063e-16
+10 0 2 0 0 36 48 58 -4.44089209850063e-16
+10 0 2 0 0 36 48 59 -4.44089209850063e-16
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+10 0 2 0 0 36 48 61 -4.44089209850063e-16
+10 0 2 0 0 36 48 62 -4.44089209850063e-16
+10 0 2 0 0 36 48 63 -4.44089209850063e-16
+10 0 2 0 0 36 48 64 -4.44089209850063e-16
+10 0 2 0 0 36 48 65 -4.44089209850063e-16
+10 0 2 0 0 36 48 66 -4.44089209850063e-16
+10 0 2 0 0 36 48 67 -4.44089209850063e-16
+10 0 2 0 0 36 48 68 -4.44089209850063e-16
+10 0 2 0 0 36 48 69 -4.44089209850063e-16
+10 0 2 0 0 36 48 70 -4.44089209850063e-16
+10 0 2 0 0 36 48 71 -4.44089209850063e-16
+10 0 2 0 0 36 48 72 -4.44089209850063e-16
+10 0 2 0 0 36 48 73 -4.44089209850063e-16
+10 0 2 0 0 36 48 74 -4.44089209850063e-16
+10 0 2 0 0 36 48 75 -4.44089209850063e-16
+10 0 2 0 0 36 48 76 -4.44089209850063e-16
+10 0 2 0 0 36 48 77 -4.44089209850063e-16
+10 0 2 0 0 36 48 78 -4.44089209850063e-16
+10 0 2 0 0 36 48 79 -4.44089209850063e-16
+10 0 2 0 0 36 48 80 -4.44089209850063e-16
+10 0 2 0 0 36 48 81 -4.44089209850063e-16
+10 0 2 0 0 36 48 82 -4.44089209850063e-16
+10 0 2 0 0 36 48 83 -4.44089209850063e-16
+10 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -4.44089209850063e-16
+10 0 1 0 0 36 48 36 -4.44089209850063e-16
+10 0 1 0 0 36 48 38 -4.44089209850063e-16
+10 0 1 0 0 36 48 40 -4.44089209850063e-16
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+10 0 1 0 0 36 48 44 -4.44089209850063e-16
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+10 0 1 0 0 36 48 48 -4.44089209850063e-16
+10 0 1 0 0 36 48 50 -4.44089209850063e-16
+10 0 1 0 0 36 48 52 -4.44089209850063e-16
+10 0 1 0 0 36 48 54 -4.44089209850063e-16
+10 0 1 0 0 36 48 56 -4.44089209850063e-16
+10 0 1 0 0 36 48 58 -4.44089209850063e-16
+10 0 1 0 0 36 48 60 -4.44089209850063e-16
+10 0 1 0 0 36 48 62 -4.44089209850063e-16
+10 0 1 0 0 36 48 64 -4.44089209850063e-16
+10 0 1 0 0 36 48 66 -4.44089209850063e-16
+10 0 1 0 0 36 48 68 -4.44089209850063e-16
+10 0 1 0 0 36 48 70 -4.44089209850063e-16
+10 0 1 0 0 36 48 72 -4.44089209850063e-16
+10 0 1 0 0 36 48 74 -4.44089209850063e-16
+10 0 1 0 0 36 48 76 -4.44089209850063e-16
+10 0 1 0 0 36 48 78 -4.44089209850063e-16
+10 0 1 0 0 36 48 80 -4.44089209850063e-16
+10 0 1 0 0 36 48 82 -4.44089209850063e-16
+10 0 1 0 0 36 48 84 -4.44089209850063e-16
+10 0 1 0 0 36 48 86 -4.44089209850063e-16
+10 0 1 0 0 36 48 88 -4.44089209850063e-16
+10 0 1 0 0 36 48 90 -4.44089209850063e-16
+10 0 1 0 0 36 48 92 -4.44089209850063e-16
+10 0 1 0 0 36 48 94 -4.44089209850063e-16
+10 0 1 0 0 36 48 96 -4.44089209850063e-16
+10 0 1 0 0 36 48 98 -4.44089209850063e-16
+10 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 -4.44089209850063e-16
+11 0 2 0 0 36 48 52 -4.44089209850063e-16
+11 0 2 0 0 36 48 53 -4.44089209850063e-16
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+11 0 2 0 0 36 48 67 -4.44089209850063e-16
+11 0 2 0 0 36 48 68 -4.44089209850063e-16
+11 0 2 0 0 36 48 69 -4.44089209850063e-16
+11 0 2 0 0 36 48 70 -4.44089209850063e-16
+11 0 2 0 0 36 48 71 -4.44089209850063e-16
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+11 0 2 0 0 36 48 76 -4.44089209850063e-16
+11 0 2 0 0 36 48 77 -4.44089209850063e-16
+11 0 2 0 0 36 48 78 -4.44089209850063e-16
+11 0 2 0 0 36 48 79 -4.44089209850063e-16
+11 0 2 0 0 36 48 80 -4.44089209850063e-16
+11 0 2 0 0 36 48 81 -4.44089209850063e-16
+11 0 2 0 0 36 48 82 -4.44089209850063e-16
+11 0 2 0 0 36 48 83 -4.44089209850063e-16
+11 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 -4.44089209850063e-16
+12 0 2 0 0 36 48 52 -4.44089209850063e-16
+12 0 2 0 0 36 48 53 -4.44089209850063e-16
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+12 0 2 0 0 36 48 64 -4.44089209850063e-16
+12 0 2 0 0 36 48 65 -4.44089209850063e-16
+12 0 2 0 0 36 48 66 -4.44089209850063e-16
+12 0 2 0 0 36 48 67 -4.44089209850063e-16
+12 0 2 0 0 36 48 68 -4.44089209850063e-16
+12 0 2 0 0 36 48 69 -4.44089209850063e-16
+12 0 2 0 0 36 48 70 -4.44089209850063e-16
+12 0 2 0 0 36 48 71 -4.44089209850063e-16
+12 0 2 0 0 36 48 72 -4.44089209850063e-16
+12 0 2 0 0 36 48 73 -4.44089209850063e-16
+12 0 2 0 0 36 48 74 -4.44089209850063e-16
+12 0 2 0 0 36 48 75 -4.44089209850063e-16
+12 0 2 0 0 36 48 76 -4.44089209850063e-16
+12 0 2 0 0 36 48 77 -4.44089209850063e-16
+12 0 2 0 0 36 48 78 -4.44089209850063e-16
+12 0 2 0 0 36 48 79 -4.44089209850063e-16
+12 0 2 0 0 36 48 80 -4.44089209850063e-16
+12 0 2 0 0 36 48 81 -4.44089209850063e-16
+12 0 2 0 0 36 48 82 -4.44089209850063e-16
+12 0 2 0 0 36 48 83 -4.44089209850063e-16
+12 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -4.44089209850063e-16
+12 0 1 0 0 36 48 36 -4.44089209850063e-16
+12 0 1 0 0 36 48 38 -4.44089209850063e-16
+12 0 1 0 0 36 48 40 -4.44089209850063e-16
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+12 0 1 0 0 36 48 50 -4.44089209850063e-16
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+12 0 1 0 0 36 48 54 -4.44089209850063e-16
+12 0 1 0 0 36 48 56 -4.44089209850063e-16
+12 0 1 0 0 36 48 58 -4.44089209850063e-16
+12 0 1 0 0 36 48 60 -4.44089209850063e-16
+12 0 1 0 0 36 48 62 -4.44089209850063e-16
+12 0 1 0 0 36 48 64 -4.44089209850063e-16
+12 0 1 0 0 36 48 66 -4.44089209850063e-16
+12 0 1 0 0 36 48 68 -4.44089209850063e-16
+12 0 1 0 0 36 48 70 -4.44089209850063e-16
+12 0 1 0 0 36 48 72 -4.44089209850063e-16
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+12 0 1 0 0 36 48 76 -4.44089209850063e-16
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+12 0 1 0 0 36 48 80 -4.44089209850063e-16
+12 0 1 0 0 36 48 82 -4.44089209850063e-16
+12 0 1 0 0 36 48 84 -4.44089209850063e-16
+12 0 1 0 0 36 48 86 -4.44089209850063e-16
+12 0 1 0 0 36 48 88 -4.44089209850063e-16
+12 0 1 0 0 36 48 90 -4.44089209850063e-16
+12 0 1 0 0 36 48 92 -4.44089209850063e-16
+12 0 1 0 0 36 48 94 -4.44089209850063e-16
+12 0 1 0 0 36 48 96 -4.44089209850063e-16
+12 0 1 0 0 36 48 98 -4.44089209850063e-16
+12 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 -4.44089209850063e-16
+12 0 0 0 0 36 48 4 -4.44089209850063e-16
+12 0 0 0 0 36 48 8 -4.44089209850063e-16
+12 0 0 0 0 36 48 12 -4.44089209850063e-16
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+12 0 0 0 0 36 48 56 -4.44089209850063e-16
+12 0 0 0 0 36 48 60 -4.44089209850063e-16
+12 0 0 0 0 36 48 64 -4.44089209850063e-16
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+12 0 0 0 0 36 48 72 -4.44089209850063e-16
+12 0 0 0 0 36 48 76 -4.44089209850063e-16
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+12 0 0 0 0 36 48 96 -4.44089209850063e-16
+12 0 0 0 0 36 48 100 -4.44089209850063e-16
+12 0 0 0 0 36 48 104 -4.44089209850063e-16
+12 0 0 0 0 36 48 108 -4.44089209850063e-16
+12 0 0 0 0 36 48 112 -4.44089209850063e-16
+12 0 0 0 0 36 48 116 -4.44089209850063e-16
+12 0 0 0 0 36 48 120 -4.44089209850063e-16
+12 0 0 0 0 36 48 124 -4.44089209850063e-16
+12 0 0 0 0 36 48 128 -4.44089209850063e-16
+12 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 -4.44089209850063e-16
+13 0 2 0 0 36 48 52 -4.44089209850063e-16
+13 0 2 0 0 36 48 53 -4.44089209850063e-16
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+13 0 2 0 0 36 48 64 -4.44089209850063e-16
+13 0 2 0 0 36 48 65 -4.44089209850063e-16
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+13 0 2 0 0 36 48 69 -4.44089209850063e-16
+13 0 2 0 0 36 48 70 -4.44089209850063e-16
+13 0 2 0 0 36 48 71 -4.44089209850063e-16
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+13 0 2 0 0 36 48 83 -4.44089209850063e-16
+13 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 -4.44089209850063e-16
+14 0 2 0 0 36 48 52 -4.44089209850063e-16
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+14 0 2 0 0 36 48 83 -4.44089209850063e-16
+14 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 -4.44089209850063e-16
+14 0 1 0 0 36 48 36 -4.44089209850063e-16
+14 0 1 0 0 36 48 38 -4.44089209850063e-16
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+14 0 1 0 0 36 48 98 -4.44089209850063e-16
+14 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 -4.44089209850063e-16
+15 0 2 0 0 36 48 52 -4.44089209850063e-16
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+15 0 2 0 0 36 48 83 -4.44089209850063e-16
+15 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 -4.44089209850063e-16
+16 0 2 0 0 36 48 52 -4.44089209850063e-16
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+16 0 2 0 0 36 48 83 -4.44089209850063e-16
+16 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 -4.44089209850063e-16
+16 0 1 0 0 36 48 36 -4.44089209850063e-16
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+16 0 1 0 0 36 48 98 -4.44089209850063e-16
+16 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 -4.44089209850063e-16
+16 0 0 0 0 36 48 4 -4.44089209850063e-16
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+16 0 0 0 0 36 48 128 -4.44089209850063e-16
+16 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 -4.44089209850063e-16
+17 0 2 0 0 36 48 52 -4.44089209850063e-16
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+17 0 2 0 0 36 48 83 -4.44089209850063e-16
+17 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 -4.44089209850063e-16
+18 0 2 0 0 36 48 52 -4.44089209850063e-16
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+18 0 2 0 0 36 48 83 -4.44089209850063e-16
+18 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 -4.44089209850063e-16
+18 0 1 0 0 36 48 36 -4.44089209850063e-16
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+18 0 1 0 0 36 48 98 -4.44089209850063e-16
+18 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 -4.44089209850063e-16
+19 0 2 0 0 36 48 52 -4.44089209850063e-16
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+19 0 2 0 0 36 48 83 -4.44089209850063e-16
+19 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 -4.44089209850063e-16
+20 0 2 0 0 36 48 52 -4.44089209850063e-16
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+20 0 2 0 0 36 48 83 -4.44089209850063e-16
+20 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 -4.44089209850063e-16
+20 0 1 0 0 36 48 36 -4.44089209850063e-16
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+20 0 1 0 0 36 48 98 -4.44089209850063e-16
+20 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 -4.44089209850063e-16
+20 0 0 0 0 36 48 4 -4.44089209850063e-16
+20 0 0 0 0 36 48 8 -4.44089209850063e-16
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+20 0 0 0 0 36 48 128 -4.44089209850063e-16
+20 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 -4.44089209850063e-16
+21 0 2 0 0 36 48 52 -4.44089209850063e-16
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+21 0 2 0 0 36 48 83 -4.44089209850063e-16
+21 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 -4.44089209850063e-16
+22 0 2 0 0 36 48 52 -4.44089209850063e-16
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+22 0 2 0 0 36 48 83 -4.44089209850063e-16
+22 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 -4.44089209850063e-16
+22 0 1 0 0 36 48 36 -4.44089209850063e-16
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+22 0 1 0 0 36 48 98 -4.44089209850063e-16
+22 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 -4.44089209850063e-16
+23 0 2 0 0 36 48 52 -4.44089209850063e-16
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+23 0 2 0 0 36 48 83 -4.44089209850063e-16
+23 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 -4.44089209850063e-16
+24 0 2 0 0 36 48 52 -4.44089209850063e-16
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+24 0 2 0 0 36 48 83 -4.44089209850063e-16
+24 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 -4.44089209850063e-16
+24 0 1 0 0 36 48 36 -4.44089209850063e-16
+24 0 1 0 0 36 48 38 -4.44089209850063e-16
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+24 0 1 0 0 36 48 86 -4.44089209850063e-16
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+24 0 1 0 0 36 48 98 -4.44089209850063e-16
+24 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 -4.44089209850063e-16
+24 0 0 0 0 36 48 4 -4.44089209850063e-16
+24 0 0 0 0 36 48 8 -4.44089209850063e-16
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+24 0 0 0 0 36 48 24 -4.44089209850063e-16
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+24 0 0 0 0 36 48 96 -4.44089209850063e-16
+24 0 0 0 0 36 48 100 -4.44089209850063e-16
+24 0 0 0 0 36 48 104 -4.44089209850063e-16
+24 0 0 0 0 36 48 108 -4.44089209850063e-16
+24 0 0 0 0 36 48 112 -4.44089209850063e-16
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+24 0 0 0 0 36 48 120 -4.44089209850063e-16
+24 0 0 0 0 36 48 124 -4.44089209850063e-16
+24 0 0 0 0 36 48 128 -4.44089209850063e-16
+24 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_z.xl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_z.xl
new file mode 100644
index 000000000..53b7b5e1e
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_z.xl
@@ -0,0 +1,1082 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0
+0 0 2 0 0 28 48 64 0
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+0 0 2 0 0 43 48 64 0
+0 0 2 0 0 44 48 64 0
+0 0 2 0 0 45 48 64 0
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 0
+0 0 1 0 0 20 48 64 0
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+0 0 1 0 0 52 48 64 0
+0 0 1 0 0 54 48 64 0
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 0
+0 0 0 0 0 4 48 64 0
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+0 0 0 0 0 68 48 64 0
+0 0 0 0 0 72 48 64 0
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0
+1 0 2 0 0 28 48 64 0
+1 0 2 0 0 29 48 64 0
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+1 0 2 0 0 44 48 64 0
+1 0 2 0 0 45 48 64 0
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0
+2 0 2 0 0 28 48 64 0
+2 0 2 0 0 29 48 64 0
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+2 0 2 0 0 43 48 64 0
+2 0 2 0 0 44 48 64 0
+2 0 2 0 0 45 48 64 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 0
+2 0 1 0 0 20 48 64 0
+2 0 1 0 0 22 48 64 0
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+2 0 1 0 0 54 48 64 0
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0
+3 0 2 0 0 28 48 64 0
+3 0 2 0 0 29 48 64 0
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+3 0 2 0 0 45 48 64 0
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0
+4 0 2 0 0 28 48 64 0
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+4 0 2 0 0 45 48 64 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 0
+4 0 1 0 0 20 48 64 0
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+4 0 1 0 0 52 48 64 0
+4 0 1 0 0 54 48 64 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 0
+4 0 0 0 0 4 48 64 0
+4 0 0 0 0 8 48 64 0
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+4 0 0 0 0 72 48 64 0
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0
+5 0 2 0 0 28 48 64 0
+5 0 2 0 0 29 48 64 0
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+5 0 2 0 0 45 48 64 0
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0
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+6 0 2 0 0 45 48 64 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0
+6 0 1 0 0 20 48 64 0
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+6 0 1 0 0 54 48 64 0
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0
+7 0 2 0 0 28 48 64 0
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+7 0 2 0 0 45 48 64 0
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0
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+8 0 2 0 0 45 48 64 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0
+8 0 1 0 0 20 48 64 0
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+8 0 1 0 0 54 48 64 0
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 0
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+8 0 0 0 0 72 48 64 0
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0
+9 0 2 0 0 28 48 64 0
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+9 0 2 0 0 45 48 64 0
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0
+10 0 2 0 0 28 48 64 0
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+10 0 2 0 0 44 48 64 0
+10 0 2 0 0 45 48 64 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0
+10 0 1 0 0 20 48 64 0
+10 0 1 0 0 22 48 64 0
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+10 0 1 0 0 54 48 64 0
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 0
+11 0 2 0 0 28 48 64 0
+11 0 2 0 0 29 48 64 0
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+11 0 2 0 0 44 48 64 0
+11 0 2 0 0 45 48 64 0
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 0
+12 0 2 0 0 28 48 64 0
+12 0 2 0 0 29 48 64 0
+12 0 2 0 0 30 48 64 0
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+12 0 2 0 0 43 48 64 0
+12 0 2 0 0 44 48 64 0
+12 0 2 0 0 45 48 64 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0
+12 0 1 0 0 20 48 64 0
+12 0 1 0 0 22 48 64 0
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+12 0 1 0 0 50 48 64 0
+12 0 1 0 0 52 48 64 0
+12 0 1 0 0 54 48 64 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 0
+12 0 0 0 0 4 48 64 0
+12 0 0 0 0 8 48 64 0
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+12 0 0 0 0 64 48 64 0
+12 0 0 0 0 68 48 64 0
+12 0 0 0 0 72 48 64 0
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 0
+13 0 2 0 0 28 48 64 0
+13 0 2 0 0 29 48 64 0
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+13 0 2 0 0 44 48 64 0
+13 0 2 0 0 45 48 64 0
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 0
+14 0 2 0 0 28 48 64 0
+14 0 2 0 0 29 48 64 0
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+14 0 2 0 0 43 48 64 0
+14 0 2 0 0 44 48 64 0
+14 0 2 0 0 45 48 64 0
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0
+14 0 1 0 0 20 48 64 0
+14 0 1 0 0 22 48 64 0
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+14 0 1 0 0 46 48 64 0
+14 0 1 0 0 48 48 64 0
+14 0 1 0 0 50 48 64 0
+14 0 1 0 0 52 48 64 0
+14 0 1 0 0 54 48 64 0
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 0
+15 0 2 0 0 28 48 64 0
+15 0 2 0 0 29 48 64 0
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+15 0 2 0 0 42 48 64 0
+15 0 2 0 0 43 48 64 0
+15 0 2 0 0 44 48 64 0
+15 0 2 0 0 45 48 64 0
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 0
+16 0 2 0 0 28 48 64 0
+16 0 2 0 0 29 48 64 0
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+16 0 2 0 0 39 48 64 0
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+16 0 2 0 0 42 48 64 0
+16 0 2 0 0 43 48 64 0
+16 0 2 0 0 44 48 64 0
+16 0 2 0 0 45 48 64 0
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0
+16 0 1 0 0 20 48 64 0
+16 0 1 0 0 22 48 64 0
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+16 0 1 0 0 48 48 64 0
+16 0 1 0 0 50 48 64 0
+16 0 1 0 0 52 48 64 0
+16 0 1 0 0 54 48 64 0
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 0
+16 0 0 0 0 4 48 64 0
+16 0 0 0 0 8 48 64 0
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+16 0 0 0 0 60 48 64 0
+16 0 0 0 0 64 48 64 0
+16 0 0 0 0 68 48 64 0
+16 0 0 0 0 72 48 64 0
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 0
+17 0 2 0 0 28 48 64 0
+17 0 2 0 0 29 48 64 0
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+17 0 2 0 0 43 48 64 0
+17 0 2 0 0 44 48 64 0
+17 0 2 0 0 45 48 64 0
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 0
+18 0 2 0 0 28 48 64 0
+18 0 2 0 0 29 48 64 0
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+18 0 2 0 0 42 48 64 0
+18 0 2 0 0 43 48 64 0
+18 0 2 0 0 44 48 64 0
+18 0 2 0 0 45 48 64 0
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0
+18 0 1 0 0 20 48 64 0
+18 0 1 0 0 22 48 64 0
+18 0 1 0 0 24 48 64 0
+18 0 1 0 0 26 48 64 0
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+18 0 1 0 0 48 48 64 0
+18 0 1 0 0 50 48 64 0
+18 0 1 0 0 52 48 64 0
+18 0 1 0 0 54 48 64 0
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 0
+19 0 2 0 0 28 48 64 0
+19 0 2 0 0 29 48 64 0
+19 0 2 0 0 30 48 64 0
+19 0 2 0 0 31 48 64 0
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+19 0 2 0 0 42 48 64 0
+19 0 2 0 0 43 48 64 0
+19 0 2 0 0 44 48 64 0
+19 0 2 0 0 45 48 64 0
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 0
+20 0 2 0 0 28 48 64 0
+20 0 2 0 0 29 48 64 0
+20 0 2 0 0 30 48 64 0
+20 0 2 0 0 31 48 64 0
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+20 0 2 0 0 42 48 64 0
+20 0 2 0 0 43 48 64 0
+20 0 2 0 0 44 48 64 0
+20 0 2 0 0 45 48 64 0
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0
+20 0 1 0 0 20 48 64 0
+20 0 1 0 0 22 48 64 0
+20 0 1 0 0 24 48 64 0
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+20 0 1 0 0 48 48 64 0
+20 0 1 0 0 50 48 64 0
+20 0 1 0 0 52 48 64 0
+20 0 1 0 0 54 48 64 0
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 0
+20 0 0 0 0 4 48 64 0
+20 0 0 0 0 8 48 64 0
+20 0 0 0 0 12 48 64 0
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+20 0 0 0 0 60 48 64 0
+20 0 0 0 0 64 48 64 0
+20 0 0 0 0 68 48 64 0
+20 0 0 0 0 72 48 64 0
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 0
+21 0 2 0 0 28 48 64 0
+21 0 2 0 0 29 48 64 0
+21 0 2 0 0 30 48 64 0
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+21 0 2 0 0 43 48 64 0
+21 0 2 0 0 44 48 64 0
+21 0 2 0 0 45 48 64 0
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 0
+22 0 2 0 0 28 48 64 0
+22 0 2 0 0 29 48 64 0
+22 0 2 0 0 30 48 64 0
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+22 0 2 0 0 43 48 64 0
+22 0 2 0 0 44 48 64 0
+22 0 2 0 0 45 48 64 0
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 0
+22 0 1 0 0 20 48 64 0
+22 0 1 0 0 22 48 64 0
+22 0 1 0 0 24 48 64 0
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+22 0 1 0 0 50 48 64 0
+22 0 1 0 0 52 48 64 0
+22 0 1 0 0 54 48 64 0
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 0
+23 0 2 0 0 28 48 64 0
+23 0 2 0 0 29 48 64 0
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+23 0 2 0 0 43 48 64 0
+23 0 2 0 0 44 48 64 0
+23 0 2 0 0 45 48 64 0
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 0
+24 0 2 0 0 28 48 64 0
+24 0 2 0 0 29 48 64 0
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+24 0 2 0 0 43 48 64 0
+24 0 2 0 0 44 48 64 0
+24 0 2 0 0 45 48 64 0
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 0
+24 0 1 0 0 20 48 64 0
+24 0 1 0 0 22 48 64 0
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+24 0 1 0 0 52 48 64 0
+24 0 1 0 0 54 48 64 0
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 0
+24 0 0 0 0 4 48 64 0
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+24 0 0 0 0 68 48 64 0
+24 0 0 0 0 72 48 64 0
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_z.yl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_z.yl
new file mode 100644
index 000000000..436f68412
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_z.yl
@@ -0,0 +1,1397 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0
+0 0 2 0 0 36 40 64 0
+0 0 2 0 0 36 41 64 0
+0 0 2 0 0 36 42 64 0
+0 0 2 0 0 36 43 64 0
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+0 0 2 0 0 36 61 64 0
+0 0 2 0 0 36 62 64 0
+0 0 2 0 0 36 63 64 0
+0 0 2 0 0 36 64 64 0
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 0
+0 0 1 0 0 36 28 64 0
+0 0 1 0 0 36 30 64 0
+0 0 1 0 0 36 32 64 0
+0 0 1 0 0 36 34 64 0
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+0 0 1 0 0 36 70 64 0
+0 0 1 0 0 36 72 64 0
+0 0 1 0 0 36 74 64 0
+0 0 1 0 0 36 76 64 0
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 0
+0 0 0 0 0 36 4 64 0
+0 0 0 0 0 36 8 64 0
+0 0 0 0 0 36 12 64 0
+0 0 0 0 0 36 16 64 0
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+0 0 0 0 0 36 88 64 0
+0 0 0 0 0 36 92 64 0
+0 0 0 0 0 36 96 64 0
+0 0 0 0 0 36 100 64 0
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 0
+1 0 2 0 0 36 40 64 0
+1 0 2 0 0 36 41 64 0
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+1 0 2 0 0 36 61 64 0
+1 0 2 0 0 36 62 64 0
+1 0 2 0 0 36 63 64 0
+1 0 2 0 0 36 64 64 0
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 0
+2 0 2 0 0 36 40 64 0
+2 0 2 0 0 36 41 64 0
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+2 0 2 0 0 36 60 64 0
+2 0 2 0 0 36 61 64 0
+2 0 2 0 0 36 62 64 0
+2 0 2 0 0 36 63 64 0
+2 0 2 0 0 36 64 64 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 0
+2 0 1 0 0 36 28 64 0
+2 0 1 0 0 36 30 64 0
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+2 0 1 0 0 36 70 64 0
+2 0 1 0 0 36 72 64 0
+2 0 1 0 0 36 74 64 0
+2 0 1 0 0 36 76 64 0
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0
+3 0 2 0 0 36 40 64 0
+3 0 2 0 0 36 41 64 0
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+3 0 2 0 0 36 60 64 0
+3 0 2 0 0 36 61 64 0
+3 0 2 0 0 36 62 64 0
+3 0 2 0 0 36 63 64 0
+3 0 2 0 0 36 64 64 0
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0
+4 0 2 0 0 36 40 64 0
+4 0 2 0 0 36 41 64 0
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+4 0 2 0 0 36 60 64 0
+4 0 2 0 0 36 61 64 0
+4 0 2 0 0 36 62 64 0
+4 0 2 0 0 36 63 64 0
+4 0 2 0 0 36 64 64 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0
+4 0 1 0 0 36 28 64 0
+4 0 1 0 0 36 30 64 0
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+4 0 1 0 0 36 76 64 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 0
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+4 0 0 0 0 36 100 64 0
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0
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+5 0 2 0 0 36 64 64 0
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0
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+6 0 2 0 0 36 64 64 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0
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+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 0
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+7 0 2 0 0 36 64 64 0
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 0
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+8 0 2 0 0 36 64 64 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0
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+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 0
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+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 0
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+9 0 2 0 0 36 64 64 0
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 0
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+10 0 2 0 0 36 64 64 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0
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+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 0
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+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 0
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+12 0 2 0 0 36 64 64 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0
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+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 0
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+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 0
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+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 0
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+14 0 2 0 0 36 64 64 0
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0
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+14 0 1 0 0 36 76 64 0
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 0
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+15 0 2 0 0 36 64 64 0
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 0
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+16 0 2 0 0 36 64 64 0
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0
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+16 0 1 0 0 36 76 64 0
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 0
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+16 0 0 0 0 36 100 64 0
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 0
+17 0 2 0 0 36 40 64 0
+17 0 2 0 0 36 41 64 0
+17 0 2 0 0 36 42 64 0
+17 0 2 0 0 36 43 64 0
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+17 0 2 0 0 36 60 64 0
+17 0 2 0 0 36 61 64 0
+17 0 2 0 0 36 62 64 0
+17 0 2 0 0 36 63 64 0
+17 0 2 0 0 36 64 64 0
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 0
+18 0 2 0 0 36 40 64 0
+18 0 2 0 0 36 41 64 0
+18 0 2 0 0 36 42 64 0
+18 0 2 0 0 36 43 64 0
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+18 0 2 0 0 36 51 64 0
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+18 0 2 0 0 36 55 64 0
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+18 0 2 0 0 36 59 64 0
+18 0 2 0 0 36 60 64 0
+18 0 2 0 0 36 61 64 0
+18 0 2 0 0 36 62 64 0
+18 0 2 0 0 36 63 64 0
+18 0 2 0 0 36 64 64 0
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 0
+18 0 1 0 0 36 28 64 0
+18 0 1 0 0 36 30 64 0
+18 0 1 0 0 36 32 64 0
+18 0 1 0 0 36 34 64 0
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+18 0 1 0 0 36 48 64 0
+18 0 1 0 0 36 50 64 0
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+18 0 1 0 0 36 56 64 0
+18 0 1 0 0 36 58 64 0
+18 0 1 0 0 36 60 64 0
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+18 0 1 0 0 36 64 64 0
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+18 0 1 0 0 36 68 64 0
+18 0 1 0 0 36 70 64 0
+18 0 1 0 0 36 72 64 0
+18 0 1 0 0 36 74 64 0
+18 0 1 0 0 36 76 64 0
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 0
+19 0 2 0 0 36 40 64 0
+19 0 2 0 0 36 41 64 0
+19 0 2 0 0 36 42 64 0
+19 0 2 0 0 36 43 64 0
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+19 0 2 0 0 36 51 64 0
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+19 0 2 0 0 36 56 64 0
+19 0 2 0 0 36 57 64 0
+19 0 2 0 0 36 58 64 0
+19 0 2 0 0 36 59 64 0
+19 0 2 0 0 36 60 64 0
+19 0 2 0 0 36 61 64 0
+19 0 2 0 0 36 62 64 0
+19 0 2 0 0 36 63 64 0
+19 0 2 0 0 36 64 64 0
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 0
+20 0 2 0 0 36 40 64 0
+20 0 2 0 0 36 41 64 0
+20 0 2 0 0 36 42 64 0
+20 0 2 0 0 36 43 64 0
+20 0 2 0 0 36 44 64 0
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+20 0 2 0 0 36 49 64 0
+20 0 2 0 0 36 50 64 0
+20 0 2 0 0 36 51 64 0
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+20 0 2 0 0 36 58 64 0
+20 0 2 0 0 36 59 64 0
+20 0 2 0 0 36 60 64 0
+20 0 2 0 0 36 61 64 0
+20 0 2 0 0 36 62 64 0
+20 0 2 0 0 36 63 64 0
+20 0 2 0 0 36 64 64 0
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 0
+20 0 1 0 0 36 28 64 0
+20 0 1 0 0 36 30 64 0
+20 0 1 0 0 36 32 64 0
+20 0 1 0 0 36 34 64 0
+20 0 1 0 0 36 36 64 0
+20 0 1 0 0 36 38 64 0
+20 0 1 0 0 36 40 64 0
+20 0 1 0 0 36 42 64 0
+20 0 1 0 0 36 44 64 0
+20 0 1 0 0 36 46 64 0
+20 0 1 0 0 36 48 64 0
+20 0 1 0 0 36 50 64 0
+20 0 1 0 0 36 52 64 0
+20 0 1 0 0 36 54 64 0
+20 0 1 0 0 36 56 64 0
+20 0 1 0 0 36 58 64 0
+20 0 1 0 0 36 60 64 0
+20 0 1 0 0 36 62 64 0
+20 0 1 0 0 36 64 64 0
+20 0 1 0 0 36 66 64 0
+20 0 1 0 0 36 68 64 0
+20 0 1 0 0 36 70 64 0
+20 0 1 0 0 36 72 64 0
+20 0 1 0 0 36 74 64 0
+20 0 1 0 0 36 76 64 0
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 0
+20 0 0 0 0 36 4 64 0
+20 0 0 0 0 36 8 64 0
+20 0 0 0 0 36 12 64 0
+20 0 0 0 0 36 16 64 0
+20 0 0 0 0 36 20 64 0
+20 0 0 0 0 36 24 64 0
+20 0 0 0 0 36 28 64 0
+20 0 0 0 0 36 32 64 0
+20 0 0 0 0 36 36 64 0
+20 0 0 0 0 36 40 64 0
+20 0 0 0 0 36 44 64 0
+20 0 0 0 0 36 48 64 0
+20 0 0 0 0 36 52 64 0
+20 0 0 0 0 36 56 64 0
+20 0 0 0 0 36 60 64 0
+20 0 0 0 0 36 64 64 0
+20 0 0 0 0 36 68 64 0
+20 0 0 0 0 36 72 64 0
+20 0 0 0 0 36 76 64 0
+20 0 0 0 0 36 80 64 0
+20 0 0 0 0 36 84 64 0
+20 0 0 0 0 36 88 64 0
+20 0 0 0 0 36 92 64 0
+20 0 0 0 0 36 96 64 0
+20 0 0 0 0 36 100 64 0
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 0
+21 0 2 0 0 36 40 64 0
+21 0 2 0 0 36 41 64 0
+21 0 2 0 0 36 42 64 0
+21 0 2 0 0 36 43 64 0
+21 0 2 0 0 36 44 64 0
+21 0 2 0 0 36 45 64 0
+21 0 2 0 0 36 46 64 0
+21 0 2 0 0 36 47 64 0
+21 0 2 0 0 36 48 64 0
+21 0 2 0 0 36 49 64 0
+21 0 2 0 0 36 50 64 0
+21 0 2 0 0 36 51 64 0
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+21 0 2 0 0 36 57 64 0
+21 0 2 0 0 36 58 64 0
+21 0 2 0 0 36 59 64 0
+21 0 2 0 0 36 60 64 0
+21 0 2 0 0 36 61 64 0
+21 0 2 0 0 36 62 64 0
+21 0 2 0 0 36 63 64 0
+21 0 2 0 0 36 64 64 0
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 0
+22 0 2 0 0 36 40 64 0
+22 0 2 0 0 36 41 64 0
+22 0 2 0 0 36 42 64 0
+22 0 2 0 0 36 43 64 0
+22 0 2 0 0 36 44 64 0
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+22 0 2 0 0 36 48 64 0
+22 0 2 0 0 36 49 64 0
+22 0 2 0 0 36 50 64 0
+22 0 2 0 0 36 51 64 0
+22 0 2 0 0 36 52 64 0
+22 0 2 0 0 36 53 64 0
+22 0 2 0 0 36 54 64 0
+22 0 2 0 0 36 55 64 0
+22 0 2 0 0 36 56 64 0
+22 0 2 0 0 36 57 64 0
+22 0 2 0 0 36 58 64 0
+22 0 2 0 0 36 59 64 0
+22 0 2 0 0 36 60 64 0
+22 0 2 0 0 36 61 64 0
+22 0 2 0 0 36 62 64 0
+22 0 2 0 0 36 63 64 0
+22 0 2 0 0 36 64 64 0
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 0
+22 0 1 0 0 36 28 64 0
+22 0 1 0 0 36 30 64 0
+22 0 1 0 0 36 32 64 0
+22 0 1 0 0 36 34 64 0
+22 0 1 0 0 36 36 64 0
+22 0 1 0 0 36 38 64 0
+22 0 1 0 0 36 40 64 0
+22 0 1 0 0 36 42 64 0
+22 0 1 0 0 36 44 64 0
+22 0 1 0 0 36 46 64 0
+22 0 1 0 0 36 48 64 0
+22 0 1 0 0 36 50 64 0
+22 0 1 0 0 36 52 64 0
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+22 0 1 0 0 36 56 64 0
+22 0 1 0 0 36 58 64 0
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+22 0 1 0 0 36 62 64 0
+22 0 1 0 0 36 64 64 0
+22 0 1 0 0 36 66 64 0
+22 0 1 0 0 36 68 64 0
+22 0 1 0 0 36 70 64 0
+22 0 1 0 0 36 72 64 0
+22 0 1 0 0 36 74 64 0
+22 0 1 0 0 36 76 64 0
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 0
+23 0 2 0 0 36 40 64 0
+23 0 2 0 0 36 41 64 0
+23 0 2 0 0 36 42 64 0
+23 0 2 0 0 36 43 64 0
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+23 0 2 0 0 36 48 64 0
+23 0 2 0 0 36 49 64 0
+23 0 2 0 0 36 50 64 0
+23 0 2 0 0 36 51 64 0
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+23 0 2 0 0 36 54 64 0
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+23 0 2 0 0 36 57 64 0
+23 0 2 0 0 36 58 64 0
+23 0 2 0 0 36 59 64 0
+23 0 2 0 0 36 60 64 0
+23 0 2 0 0 36 61 64 0
+23 0 2 0 0 36 62 64 0
+23 0 2 0 0 36 63 64 0
+23 0 2 0 0 36 64 64 0
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 0
+24 0 2 0 0 36 40 64 0
+24 0 2 0 0 36 41 64 0
+24 0 2 0 0 36 42 64 0
+24 0 2 0 0 36 43 64 0
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+24 0 2 0 0 36 51 64 0
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+24 0 2 0 0 36 57 64 0
+24 0 2 0 0 36 58 64 0
+24 0 2 0 0 36 59 64 0
+24 0 2 0 0 36 60 64 0
+24 0 2 0 0 36 61 64 0
+24 0 2 0 0 36 62 64 0
+24 0 2 0 0 36 63 64 0
+24 0 2 0 0 36 64 64 0
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 0
+24 0 1 0 0 36 28 64 0
+24 0 1 0 0 36 30 64 0
+24 0 1 0 0 36 32 64 0
+24 0 1 0 0 36 34 64 0
+24 0 1 0 0 36 36 64 0
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+24 0 1 0 0 36 50 64 0
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+24 0 1 0 0 36 66 64 0
+24 0 1 0 0 36 68 64 0
+24 0 1 0 0 36 70 64 0
+24 0 1 0 0 36 72 64 0
+24 0 1 0 0 36 74 64 0
+24 0 1 0 0 36 76 64 0
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 0
+24 0 0 0 0 36 4 64 0
+24 0 0 0 0 36 8 64 0
+24 0 0 0 0 36 12 64 0
+24 0 0 0 0 36 16 64 0
+24 0 0 0 0 36 20 64 0
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+24 0 0 0 0 36 32 64 0
+24 0 0 0 0 36 36 64 0
+24 0 0 0 0 36 40 64 0
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+24 0 0 0 0 36 48 64 0
+24 0 0 0 0 36 52 64 0
+24 0 0 0 0 36 56 64 0
+24 0 0 0 0 36 60 64 0
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+24 0 0 0 0 36 68 64 0
+24 0 0 0 0 36 72 64 0
+24 0 0 0 0 36 76 64 0
+24 0 0 0 0 36 80 64 0
+24 0 0 0 0 36 84 64 0
+24 0 0 0 0 36 88 64 0
+24 0 0 0 0 36 92 64 0
+24 0 0 0 0 36 96 64 0
+24 0 0 0 0 36 100 64 0
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_z.zl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_z.zl
new file mode 100644
index 000000000..e10c9f932
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/cart3d_z.zl
@@ -0,0 +1,1757 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 -1.95
+0 0 2 0 0 36 48 52 -1.8
+0 0 2 0 0 36 48 53 -1.65
+0 0 2 0 0 36 48 54 -1.5
+0 0 2 0 0 36 48 55 -1.35
+0 0 2 0 0 36 48 56 -1.2
+0 0 2 0 0 36 48 57 -1.05
+0 0 2 0 0 36 48 58 -0.9
+0 0 2 0 0 36 48 59 -0.75
+0 0 2 0 0 36 48 60 -0.6
+0 0 2 0 0 36 48 61 -0.45
+0 0 2 0 0 36 48 62 -0.3
+0 0 2 0 0 36 48 63 -0.15
+0 0 2 0 0 36 48 64 0
+0 0 2 0 0 36 48 65 0.15
+0 0 2 0 0 36 48 66 0.3
+0 0 2 0 0 36 48 67 0.45
+0 0 2 0 0 36 48 68 0.6
+0 0 2 0 0 36 48 69 0.75
+0 0 2 0 0 36 48 70 0.9
+0 0 2 0 0 36 48 71 1.05
+0 0 2 0 0 36 48 72 1.2
+0 0 2 0 0 36 48 73 1.35
+0 0 2 0 0 36 48 74 1.5
+0 0 2 0 0 36 48 75 1.65
+0 0 2 0 0 36 48 76 1.8
+0 0 2 0 0 36 48 77 1.95
+0 0 2 0 0 36 48 78 2.1
+0 0 2 0 0 36 48 79 2.25
+0 0 2 0 0 36 48 80 2.4
+0 0 2 0 0 36 48 81 2.55
+0 0 2 0 0 36 48 82 2.7
+0 0 2 0 0 36 48 83 2.85
+0 0 2 0 0 36 48 84 3
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -4.5
+0 0 1 0 0 36 48 36 -4.2
+0 0 1 0 0 36 48 38 -3.9
+0 0 1 0 0 36 48 40 -3.6
+0 0 1 0 0 36 48 42 -3.3
+0 0 1 0 0 36 48 44 -3
+0 0 1 0 0 36 48 46 -2.7
+0 0 1 0 0 36 48 48 -2.4
+0 0 1 0 0 36 48 50 -2.1
+0 0 1 0 0 36 48 52 -1.8
+0 0 1 0 0 36 48 54 -1.5
+0 0 1 0 0 36 48 56 -1.2
+0 0 1 0 0 36 48 58 -0.9
+0 0 1 0 0 36 48 60 -0.6
+0 0 1 0 0 36 48 62 -0.3
+0 0 1 0 0 36 48 64 0
+0 0 1 0 0 36 48 66 0.3
+0 0 1 0 0 36 48 68 0.6
+0 0 1 0 0 36 48 70 0.9
+0 0 1 0 0 36 48 72 1.2
+0 0 1 0 0 36 48 74 1.5
+0 0 1 0 0 36 48 76 1.8
+0 0 1 0 0 36 48 78 2.1
+0 0 1 0 0 36 48 80 2.4
+0 0 1 0 0 36 48 82 2.7
+0 0 1 0 0 36 48 84 3
+0 0 1 0 0 36 48 86 3.3
+0 0 1 0 0 36 48 88 3.6
+0 0 1 0 0 36 48 90 3.9
+0 0 1 0 0 36 48 92 4.2
+0 0 1 0 0 36 48 94 4.5
+0 0 1 0 0 36 48 96 4.8
+0 0 1 0 0 36 48 98 5.1
+0 0 1 0 0 36 48 100 5.4
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 -9.6
+0 0 0 0 0 36 48 4 -9
+0 0 0 0 0 36 48 8 -8.4
+0 0 0 0 0 36 48 12 -7.8
+0 0 0 0 0 36 48 16 -7.2
+0 0 0 0 0 36 48 20 -6.6
+0 0 0 0 0 36 48 24 -6
+0 0 0 0 0 36 48 28 -5.4
+0 0 0 0 0 36 48 32 -4.8
+0 0 0 0 0 36 48 36 -4.2
+0 0 0 0 0 36 48 40 -3.6
+0 0 0 0 0 36 48 44 -3
+0 0 0 0 0 36 48 48 -2.4
+0 0 0 0 0 36 48 52 -1.8
+0 0 0 0 0 36 48 56 -1.2
+0 0 0 0 0 36 48 60 -0.6
+0 0 0 0 0 36 48 64 0
+0 0 0 0 0 36 48 68 0.6
+0 0 0 0 0 36 48 72 1.2
+0 0 0 0 0 36 48 76 1.8
+0 0 0 0 0 36 48 80 2.4
+0 0 0 0 0 36 48 84 3
+0 0 0 0 0 36 48 88 3.6
+0 0 0 0 0 36 48 92 4.2
+0 0 0 0 0 36 48 96 4.8
+0 0 0 0 0 36 48 100 5.4
+0 0 0 0 0 36 48 104 6
+0 0 0 0 0 36 48 108 6.6
+0 0 0 0 0 36 48 112 7.2
+0 0 0 0 0 36 48 116 7.8
+0 0 0 0 0 36 48 120 8.4
+0 0 0 0 0 36 48 124 9
+0 0 0 0 0 36 48 128 9.6
+0 0 0 0 0 36 48 132 10.2
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 -1.95
+1 0 2 0 0 36 48 52 -1.8
+1 0 2 0 0 36 48 53 -1.65
+1 0 2 0 0 36 48 54 -1.5
+1 0 2 0 0 36 48 55 -1.35
+1 0 2 0 0 36 48 56 -1.2
+1 0 2 0 0 36 48 57 -1.05
+1 0 2 0 0 36 48 58 -0.9
+1 0 2 0 0 36 48 59 -0.75
+1 0 2 0 0 36 48 60 -0.6
+1 0 2 0 0 36 48 61 -0.45
+1 0 2 0 0 36 48 62 -0.3
+1 0 2 0 0 36 48 63 -0.15
+1 0 2 0 0 36 48 64 0
+1 0 2 0 0 36 48 65 0.15
+1 0 2 0 0 36 48 66 0.3
+1 0 2 0 0 36 48 67 0.45
+1 0 2 0 0 36 48 68 0.6
+1 0 2 0 0 36 48 69 0.75
+1 0 2 0 0 36 48 70 0.9
+1 0 2 0 0 36 48 71 1.05
+1 0 2 0 0 36 48 72 1.2
+1 0 2 0 0 36 48 73 1.35
+1 0 2 0 0 36 48 74 1.5
+1 0 2 0 0 36 48 75 1.65
+1 0 2 0 0 36 48 76 1.8
+1 0 2 0 0 36 48 77 1.95
+1 0 2 0 0 36 48 78 2.1
+1 0 2 0 0 36 48 79 2.25
+1 0 2 0 0 36 48 80 2.4
+1 0 2 0 0 36 48 81 2.55
+1 0 2 0 0 36 48 82 2.7
+1 0 2 0 0 36 48 83 2.85
+1 0 2 0 0 36 48 84 3
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 -1.95
+2 0 2 0 0 36 48 52 -1.8
+2 0 2 0 0 36 48 53 -1.65
+2 0 2 0 0 36 48 54 -1.5
+2 0 2 0 0 36 48 55 -1.35
+2 0 2 0 0 36 48 56 -1.2
+2 0 2 0 0 36 48 57 -1.05
+2 0 2 0 0 36 48 58 -0.9
+2 0 2 0 0 36 48 59 -0.75
+2 0 2 0 0 36 48 60 -0.6
+2 0 2 0 0 36 48 61 -0.45
+2 0 2 0 0 36 48 62 -0.3
+2 0 2 0 0 36 48 63 -0.15
+2 0 2 0 0 36 48 64 0
+2 0 2 0 0 36 48 65 0.15
+2 0 2 0 0 36 48 66 0.3
+2 0 2 0 0 36 48 67 0.45
+2 0 2 0 0 36 48 68 0.6
+2 0 2 0 0 36 48 69 0.75
+2 0 2 0 0 36 48 70 0.9
+2 0 2 0 0 36 48 71 1.05
+2 0 2 0 0 36 48 72 1.2
+2 0 2 0 0 36 48 73 1.35
+2 0 2 0 0 36 48 74 1.5
+2 0 2 0 0 36 48 75 1.65
+2 0 2 0 0 36 48 76 1.8
+2 0 2 0 0 36 48 77 1.95
+2 0 2 0 0 36 48 78 2.1
+2 0 2 0 0 36 48 79 2.25
+2 0 2 0 0 36 48 80 2.4
+2 0 2 0 0 36 48 81 2.55
+2 0 2 0 0 36 48 82 2.7
+2 0 2 0 0 36 48 83 2.85
+2 0 2 0 0 36 48 84 3
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -4.5
+2 0 1 0 0 36 48 36 -4.2
+2 0 1 0 0 36 48 38 -3.9
+2 0 1 0 0 36 48 40 -3.6
+2 0 1 0 0 36 48 42 -3.3
+2 0 1 0 0 36 48 44 -3
+2 0 1 0 0 36 48 46 -2.7
+2 0 1 0 0 36 48 48 -2.4
+2 0 1 0 0 36 48 50 -2.1
+2 0 1 0 0 36 48 52 -1.8
+2 0 1 0 0 36 48 54 -1.5
+2 0 1 0 0 36 48 56 -1.2
+2 0 1 0 0 36 48 58 -0.9
+2 0 1 0 0 36 48 60 -0.6
+2 0 1 0 0 36 48 62 -0.3
+2 0 1 0 0 36 48 64 0
+2 0 1 0 0 36 48 66 0.3
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+2 0 1 0 0 36 48 70 0.9
+2 0 1 0 0 36 48 72 1.2
+2 0 1 0 0 36 48 74 1.5
+2 0 1 0 0 36 48 76 1.8
+2 0 1 0 0 36 48 78 2.1
+2 0 1 0 0 36 48 80 2.4
+2 0 1 0 0 36 48 82 2.7
+2 0 1 0 0 36 48 84 3
+2 0 1 0 0 36 48 86 3.3
+2 0 1 0 0 36 48 88 3.6
+2 0 1 0 0 36 48 90 3.9
+2 0 1 0 0 36 48 92 4.2
+2 0 1 0 0 36 48 94 4.5
+2 0 1 0 0 36 48 96 4.8
+2 0 1 0 0 36 48 98 5.1
+2 0 1 0 0 36 48 100 5.4
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 -1.95
+3 0 2 0 0 36 48 52 -1.8
+3 0 2 0 0 36 48 53 -1.65
+3 0 2 0 0 36 48 54 -1.5
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+3 0 2 0 0 36 48 64 0
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+3 0 2 0 0 36 48 69 0.75
+3 0 2 0 0 36 48 70 0.9
+3 0 2 0 0 36 48 71 1.05
+3 0 2 0 0 36 48 72 1.2
+3 0 2 0 0 36 48 73 1.35
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+3 0 2 0 0 36 48 75 1.65
+3 0 2 0 0 36 48 76 1.8
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+3 0 2 0 0 36 48 80 2.4
+3 0 2 0 0 36 48 81 2.55
+3 0 2 0 0 36 48 82 2.7
+3 0 2 0 0 36 48 83 2.85
+3 0 2 0 0 36 48 84 3
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 -1.95
+4 0 2 0 0 36 48 52 -1.8
+4 0 2 0 0 36 48 53 -1.65
+4 0 2 0 0 36 48 54 -1.5
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+4 0 2 0 0 36 48 57 -1.05
+4 0 2 0 0 36 48 58 -0.9
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+4 0 2 0 0 36 48 62 -0.3
+4 0 2 0 0 36 48 63 -0.15
+4 0 2 0 0 36 48 64 0
+4 0 2 0 0 36 48 65 0.15
+4 0 2 0 0 36 48 66 0.3
+4 0 2 0 0 36 48 67 0.45
+4 0 2 0 0 36 48 68 0.6
+4 0 2 0 0 36 48 69 0.75
+4 0 2 0 0 36 48 70 0.9
+4 0 2 0 0 36 48 71 1.05
+4 0 2 0 0 36 48 72 1.2
+4 0 2 0 0 36 48 73 1.35
+4 0 2 0 0 36 48 74 1.5
+4 0 2 0 0 36 48 75 1.65
+4 0 2 0 0 36 48 76 1.8
+4 0 2 0 0 36 48 77 1.95
+4 0 2 0 0 36 48 78 2.1
+4 0 2 0 0 36 48 79 2.25
+4 0 2 0 0 36 48 80 2.4
+4 0 2 0 0 36 48 81 2.55
+4 0 2 0 0 36 48 82 2.7
+4 0 2 0 0 36 48 83 2.85
+4 0 2 0 0 36 48 84 3
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -4.5
+4 0 1 0 0 36 48 36 -4.2
+4 0 1 0 0 36 48 38 -3.9
+4 0 1 0 0 36 48 40 -3.6
+4 0 1 0 0 36 48 42 -3.3
+4 0 1 0 0 36 48 44 -3
+4 0 1 0 0 36 48 46 -2.7
+4 0 1 0 0 36 48 48 -2.4
+4 0 1 0 0 36 48 50 -2.1
+4 0 1 0 0 36 48 52 -1.8
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+4 0 1 0 0 36 48 56 -1.2
+4 0 1 0 0 36 48 58 -0.9
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+4 0 1 0 0 36 48 62 -0.3
+4 0 1 0 0 36 48 64 0
+4 0 1 0 0 36 48 66 0.3
+4 0 1 0 0 36 48 68 0.6
+4 0 1 0 0 36 48 70 0.9
+4 0 1 0 0 36 48 72 1.2
+4 0 1 0 0 36 48 74 1.5
+4 0 1 0 0 36 48 76 1.8
+4 0 1 0 0 36 48 78 2.1
+4 0 1 0 0 36 48 80 2.4
+4 0 1 0 0 36 48 82 2.7
+4 0 1 0 0 36 48 84 3
+4 0 1 0 0 36 48 86 3.3
+4 0 1 0 0 36 48 88 3.6
+4 0 1 0 0 36 48 90 3.9
+4 0 1 0 0 36 48 92 4.2
+4 0 1 0 0 36 48 94 4.5
+4 0 1 0 0 36 48 96 4.8
+4 0 1 0 0 36 48 98 5.1
+4 0 1 0 0 36 48 100 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 -9.6
+4 0 0 0 0 36 48 4 -9
+4 0 0 0 0 36 48 8 -8.4
+4 0 0 0 0 36 48 12 -7.8
+4 0 0 0 0 36 48 16 -7.2
+4 0 0 0 0 36 48 20 -6.6
+4 0 0 0 0 36 48 24 -6
+4 0 0 0 0 36 48 28 -5.4
+4 0 0 0 0 36 48 32 -4.8
+4 0 0 0 0 36 48 36 -4.2
+4 0 0 0 0 36 48 40 -3.6
+4 0 0 0 0 36 48 44 -3
+4 0 0 0 0 36 48 48 -2.4
+4 0 0 0 0 36 48 52 -1.8
+4 0 0 0 0 36 48 56 -1.2
+4 0 0 0 0 36 48 60 -0.6
+4 0 0 0 0 36 48 64 0
+4 0 0 0 0 36 48 68 0.6
+4 0 0 0 0 36 48 72 1.2
+4 0 0 0 0 36 48 76 1.8
+4 0 0 0 0 36 48 80 2.4
+4 0 0 0 0 36 48 84 3
+4 0 0 0 0 36 48 88 3.6
+4 0 0 0 0 36 48 92 4.2
+4 0 0 0 0 36 48 96 4.8
+4 0 0 0 0 36 48 100 5.4
+4 0 0 0 0 36 48 104 6
+4 0 0 0 0 36 48 108 6.6
+4 0 0 0 0 36 48 112 7.2
+4 0 0 0 0 36 48 116 7.8
+4 0 0 0 0 36 48 120 8.4
+4 0 0 0 0 36 48 124 9
+4 0 0 0 0 36 48 128 9.6
+4 0 0 0 0 36 48 132 10.2
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 -1.95
+5 0 2 0 0 36 48 52 -1.8
+5 0 2 0 0 36 48 53 -1.65
+5 0 2 0 0 36 48 54 -1.5
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+5 0 2 0 0 36 48 57 -1.05
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+5 0 2 0 0 36 48 62 -0.3
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+5 0 2 0 0 36 48 64 0
+5 0 2 0 0 36 48 65 0.15
+5 0 2 0 0 36 48 66 0.3
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+5 0 2 0 0 36 48 68 0.6
+5 0 2 0 0 36 48 69 0.75
+5 0 2 0 0 36 48 70 0.9
+5 0 2 0 0 36 48 71 1.05
+5 0 2 0 0 36 48 72 1.2
+5 0 2 0 0 36 48 73 1.35
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+5 0 2 0 0 36 48 76 1.8
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+5 0 2 0 0 36 48 78 2.1
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+5 0 2 0 0 36 48 81 2.55
+5 0 2 0 0 36 48 82 2.7
+5 0 2 0 0 36 48 83 2.85
+5 0 2 0 0 36 48 84 3
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 -1.95
+6 0 2 0 0 36 48 52 -1.8
+6 0 2 0 0 36 48 53 -1.65
+6 0 2 0 0 36 48 54 -1.5
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+6 0 2 0 0 36 48 64 0
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+6 0 2 0 0 36 48 68 0.6
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+6 0 2 0 0 36 48 70 0.9
+6 0 2 0 0 36 48 71 1.05
+6 0 2 0 0 36 48 72 1.2
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+6 0 2 0 0 36 48 76 1.8
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+6 0 2 0 0 36 48 78 2.1
+6 0 2 0 0 36 48 79 2.25
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+6 0 2 0 0 36 48 81 2.55
+6 0 2 0 0 36 48 82 2.7
+6 0 2 0 0 36 48 83 2.85
+6 0 2 0 0 36 48 84 3
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -4.5
+6 0 1 0 0 36 48 36 -4.2
+6 0 1 0 0 36 48 38 -3.9
+6 0 1 0 0 36 48 40 -3.6
+6 0 1 0 0 36 48 42 -3.3
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+6 0 1 0 0 36 48 46 -2.7
+6 0 1 0 0 36 48 48 -2.4
+6 0 1 0 0 36 48 50 -2.1
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+6 0 1 0 0 36 48 58 -0.9
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+6 0 1 0 0 36 48 62 -0.3
+6 0 1 0 0 36 48 64 0
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+6 0 1 0 0 36 48 68 0.6
+6 0 1 0 0 36 48 70 0.9
+6 0 1 0 0 36 48 72 1.2
+6 0 1 0 0 36 48 74 1.5
+6 0 1 0 0 36 48 76 1.8
+6 0 1 0 0 36 48 78 2.1
+6 0 1 0 0 36 48 80 2.4
+6 0 1 0 0 36 48 82 2.7
+6 0 1 0 0 36 48 84 3
+6 0 1 0 0 36 48 86 3.3
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+6 0 1 0 0 36 48 90 3.9
+6 0 1 0 0 36 48 92 4.2
+6 0 1 0 0 36 48 94 4.5
+6 0 1 0 0 36 48 96 4.8
+6 0 1 0 0 36 48 98 5.1
+6 0 1 0 0 36 48 100 5.4
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 -1.95
+7 0 2 0 0 36 48 52 -1.8
+7 0 2 0 0 36 48 53 -1.65
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+7 0 2 0 0 36 48 81 2.55
+7 0 2 0 0 36 48 82 2.7
+7 0 2 0 0 36 48 83 2.85
+7 0 2 0 0 36 48 84 3
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 -1.95
+8 0 2 0 0 36 48 52 -1.8
+8 0 2 0 0 36 48 53 -1.65
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+8 0 2 0 0 36 48 71 1.05
+8 0 2 0 0 36 48 72 1.2
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+8 0 2 0 0 36 48 81 2.55
+8 0 2 0 0 36 48 82 2.7
+8 0 2 0 0 36 48 83 2.85
+8 0 2 0 0 36 48 84 3
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -4.5
+8 0 1 0 0 36 48 36 -4.2
+8 0 1 0 0 36 48 38 -3.9
+8 0 1 0 0 36 48 40 -3.6
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+8 0 1 0 0 36 48 48 -2.4
+8 0 1 0 0 36 48 50 -2.1
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+8 0 1 0 0 36 48 62 -0.3
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+8 0 1 0 0 36 48 76 1.8
+8 0 1 0 0 36 48 78 2.1
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+8 0 1 0 0 36 48 82 2.7
+8 0 1 0 0 36 48 84 3
+8 0 1 0 0 36 48 86 3.3
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+8 0 1 0 0 36 48 90 3.9
+8 0 1 0 0 36 48 92 4.2
+8 0 1 0 0 36 48 94 4.5
+8 0 1 0 0 36 48 96 4.8
+8 0 1 0 0 36 48 98 5.1
+8 0 1 0 0 36 48 100 5.4
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 -9.6
+8 0 0 0 0 36 48 4 -9
+8 0 0 0 0 36 48 8 -8.4
+8 0 0 0 0 36 48 12 -7.8
+8 0 0 0 0 36 48 16 -7.2
+8 0 0 0 0 36 48 20 -6.6
+8 0 0 0 0 36 48 24 -6
+8 0 0 0 0 36 48 28 -5.4
+8 0 0 0 0 36 48 32 -4.8
+8 0 0 0 0 36 48 36 -4.2
+8 0 0 0 0 36 48 40 -3.6
+8 0 0 0 0 36 48 44 -3
+8 0 0 0 0 36 48 48 -2.4
+8 0 0 0 0 36 48 52 -1.8
+8 0 0 0 0 36 48 56 -1.2
+8 0 0 0 0 36 48 60 -0.6
+8 0 0 0 0 36 48 64 0
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+8 0 0 0 0 36 48 72 1.2
+8 0 0 0 0 36 48 76 1.8
+8 0 0 0 0 36 48 80 2.4
+8 0 0 0 0 36 48 84 3
+8 0 0 0 0 36 48 88 3.6
+8 0 0 0 0 36 48 92 4.2
+8 0 0 0 0 36 48 96 4.8
+8 0 0 0 0 36 48 100 5.4
+8 0 0 0 0 36 48 104 6
+8 0 0 0 0 36 48 108 6.6
+8 0 0 0 0 36 48 112 7.2
+8 0 0 0 0 36 48 116 7.8
+8 0 0 0 0 36 48 120 8.4
+8 0 0 0 0 36 48 124 9
+8 0 0 0 0 36 48 128 9.6
+8 0 0 0 0 36 48 132 10.2
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 -1.95
+9 0 2 0 0 36 48 52 -1.8
+9 0 2 0 0 36 48 53 -1.65
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+9 0 2 0 0 36 48 66 0.3
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+9 0 2 0 0 36 48 68 0.6
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+9 0 2 0 0 36 48 70 0.9
+9 0 2 0 0 36 48 71 1.05
+9 0 2 0 0 36 48 72 1.2
+9 0 2 0 0 36 48 73 1.35
+9 0 2 0 0 36 48 74 1.5
+9 0 2 0 0 36 48 75 1.65
+9 0 2 0 0 36 48 76 1.8
+9 0 2 0 0 36 48 77 1.95
+9 0 2 0 0 36 48 78 2.1
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+9 0 2 0 0 36 48 80 2.4
+9 0 2 0 0 36 48 81 2.55
+9 0 2 0 0 36 48 82 2.7
+9 0 2 0 0 36 48 83 2.85
+9 0 2 0 0 36 48 84 3
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 -1.95
+10 0 2 0 0 36 48 52 -1.8
+10 0 2 0 0 36 48 53 -1.65
+10 0 2 0 0 36 48 54 -1.5
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+10 0 2 0 0 36 48 70 0.9
+10 0 2 0 0 36 48 71 1.05
+10 0 2 0 0 36 48 72 1.2
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+10 0 2 0 0 36 48 74 1.5
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+10 0 2 0 0 36 48 78 2.1
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+10 0 2 0 0 36 48 81 2.55
+10 0 2 0 0 36 48 82 2.7
+10 0 2 0 0 36 48 83 2.85
+10 0 2 0 0 36 48 84 3
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -4.5
+10 0 1 0 0 36 48 36 -4.2
+10 0 1 0 0 36 48 38 -3.9
+10 0 1 0 0 36 48 40 -3.6
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+10 0 1 0 0 36 48 48 -2.4
+10 0 1 0 0 36 48 50 -2.1
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+10 0 1 0 0 36 48 72 1.2
+10 0 1 0 0 36 48 74 1.5
+10 0 1 0 0 36 48 76 1.8
+10 0 1 0 0 36 48 78 2.1
+10 0 1 0 0 36 48 80 2.4
+10 0 1 0 0 36 48 82 2.7
+10 0 1 0 0 36 48 84 3
+10 0 1 0 0 36 48 86 3.3
+10 0 1 0 0 36 48 88 3.6
+10 0 1 0 0 36 48 90 3.9
+10 0 1 0 0 36 48 92 4.2
+10 0 1 0 0 36 48 94 4.5
+10 0 1 0 0 36 48 96 4.8
+10 0 1 0 0 36 48 98 5.1
+10 0 1 0 0 36 48 100 5.4
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 -1.95
+11 0 2 0 0 36 48 52 -1.8
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+11 0 2 0 0 36 48 70 0.9
+11 0 2 0 0 36 48 71 1.05
+11 0 2 0 0 36 48 72 1.2
+11 0 2 0 0 36 48 73 1.35
+11 0 2 0 0 36 48 74 1.5
+11 0 2 0 0 36 48 75 1.65
+11 0 2 0 0 36 48 76 1.8
+11 0 2 0 0 36 48 77 1.95
+11 0 2 0 0 36 48 78 2.1
+11 0 2 0 0 36 48 79 2.25
+11 0 2 0 0 36 48 80 2.4
+11 0 2 0 0 36 48 81 2.55
+11 0 2 0 0 36 48 82 2.7
+11 0 2 0 0 36 48 83 2.85
+11 0 2 0 0 36 48 84 3
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 -1.95
+12 0 2 0 0 36 48 52 -1.8
+12 0 2 0 0 36 48 53 -1.65
+12 0 2 0 0 36 48 54 -1.5
+12 0 2 0 0 36 48 55 -1.35
+12 0 2 0 0 36 48 56 -1.2
+12 0 2 0 0 36 48 57 -1.05
+12 0 2 0 0 36 48 58 -0.9
+12 0 2 0 0 36 48 59 -0.75
+12 0 2 0 0 36 48 60 -0.6
+12 0 2 0 0 36 48 61 -0.45
+12 0 2 0 0 36 48 62 -0.3
+12 0 2 0 0 36 48 63 -0.15
+12 0 2 0 0 36 48 64 0
+12 0 2 0 0 36 48 65 0.15
+12 0 2 0 0 36 48 66 0.3
+12 0 2 0 0 36 48 67 0.45
+12 0 2 0 0 36 48 68 0.6
+12 0 2 0 0 36 48 69 0.75
+12 0 2 0 0 36 48 70 0.9
+12 0 2 0 0 36 48 71 1.05
+12 0 2 0 0 36 48 72 1.2
+12 0 2 0 0 36 48 73 1.35
+12 0 2 0 0 36 48 74 1.5
+12 0 2 0 0 36 48 75 1.65
+12 0 2 0 0 36 48 76 1.8
+12 0 2 0 0 36 48 77 1.95
+12 0 2 0 0 36 48 78 2.1
+12 0 2 0 0 36 48 79 2.25
+12 0 2 0 0 36 48 80 2.4
+12 0 2 0 0 36 48 81 2.55
+12 0 2 0 0 36 48 82 2.7
+12 0 2 0 0 36 48 83 2.85
+12 0 2 0 0 36 48 84 3
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -4.5
+12 0 1 0 0 36 48 36 -4.2
+12 0 1 0 0 36 48 38 -3.9
+12 0 1 0 0 36 48 40 -3.6
+12 0 1 0 0 36 48 42 -3.3
+12 0 1 0 0 36 48 44 -3
+12 0 1 0 0 36 48 46 -2.7
+12 0 1 0 0 36 48 48 -2.4
+12 0 1 0 0 36 48 50 -2.1
+12 0 1 0 0 36 48 52 -1.8
+12 0 1 0 0 36 48 54 -1.5
+12 0 1 0 0 36 48 56 -1.2
+12 0 1 0 0 36 48 58 -0.9
+12 0 1 0 0 36 48 60 -0.6
+12 0 1 0 0 36 48 62 -0.3
+12 0 1 0 0 36 48 64 0
+12 0 1 0 0 36 48 66 0.3
+12 0 1 0 0 36 48 68 0.6
+12 0 1 0 0 36 48 70 0.9
+12 0 1 0 0 36 48 72 1.2
+12 0 1 0 0 36 48 74 1.5
+12 0 1 0 0 36 48 76 1.8
+12 0 1 0 0 36 48 78 2.1
+12 0 1 0 0 36 48 80 2.4
+12 0 1 0 0 36 48 82 2.7
+12 0 1 0 0 36 48 84 3
+12 0 1 0 0 36 48 86 3.3
+12 0 1 0 0 36 48 88 3.6
+12 0 1 0 0 36 48 90 3.9
+12 0 1 0 0 36 48 92 4.2
+12 0 1 0 0 36 48 94 4.5
+12 0 1 0 0 36 48 96 4.8
+12 0 1 0 0 36 48 98 5.1
+12 0 1 0 0 36 48 100 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 -9.6
+12 0 0 0 0 36 48 4 -9
+12 0 0 0 0 36 48 8 -8.4
+12 0 0 0 0 36 48 12 -7.8
+12 0 0 0 0 36 48 16 -7.2
+12 0 0 0 0 36 48 20 -6.6
+12 0 0 0 0 36 48 24 -6
+12 0 0 0 0 36 48 28 -5.4
+12 0 0 0 0 36 48 32 -4.8
+12 0 0 0 0 36 48 36 -4.2
+12 0 0 0 0 36 48 40 -3.6
+12 0 0 0 0 36 48 44 -3
+12 0 0 0 0 36 48 48 -2.4
+12 0 0 0 0 36 48 52 -1.8
+12 0 0 0 0 36 48 56 -1.2
+12 0 0 0 0 36 48 60 -0.6
+12 0 0 0 0 36 48 64 0
+12 0 0 0 0 36 48 68 0.6
+12 0 0 0 0 36 48 72 1.2
+12 0 0 0 0 36 48 76 1.8
+12 0 0 0 0 36 48 80 2.4
+12 0 0 0 0 36 48 84 3
+12 0 0 0 0 36 48 88 3.6
+12 0 0 0 0 36 48 92 4.2
+12 0 0 0 0 36 48 96 4.8
+12 0 0 0 0 36 48 100 5.4
+12 0 0 0 0 36 48 104 6
+12 0 0 0 0 36 48 108 6.6
+12 0 0 0 0 36 48 112 7.2
+12 0 0 0 0 36 48 116 7.8
+12 0 0 0 0 36 48 120 8.4
+12 0 0 0 0 36 48 124 9
+12 0 0 0 0 36 48 128 9.6
+12 0 0 0 0 36 48 132 10.2
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 -1.95
+13 0 2 0 0 36 48 52 -1.8
+13 0 2 0 0 36 48 53 -1.65
+13 0 2 0 0 36 48 54 -1.5
+13 0 2 0 0 36 48 55 -1.35
+13 0 2 0 0 36 48 56 -1.2
+13 0 2 0 0 36 48 57 -1.05
+13 0 2 0 0 36 48 58 -0.9
+13 0 2 0 0 36 48 59 -0.75
+13 0 2 0 0 36 48 60 -0.6
+13 0 2 0 0 36 48 61 -0.45
+13 0 2 0 0 36 48 62 -0.3
+13 0 2 0 0 36 48 63 -0.15
+13 0 2 0 0 36 48 64 0
+13 0 2 0 0 36 48 65 0.15
+13 0 2 0 0 36 48 66 0.3
+13 0 2 0 0 36 48 67 0.45
+13 0 2 0 0 36 48 68 0.6
+13 0 2 0 0 36 48 69 0.75
+13 0 2 0 0 36 48 70 0.9
+13 0 2 0 0 36 48 71 1.05
+13 0 2 0 0 36 48 72 1.2
+13 0 2 0 0 36 48 73 1.35
+13 0 2 0 0 36 48 74 1.5
+13 0 2 0 0 36 48 75 1.65
+13 0 2 0 0 36 48 76 1.8
+13 0 2 0 0 36 48 77 1.95
+13 0 2 0 0 36 48 78 2.1
+13 0 2 0 0 36 48 79 2.25
+13 0 2 0 0 36 48 80 2.4
+13 0 2 0 0 36 48 81 2.55
+13 0 2 0 0 36 48 82 2.7
+13 0 2 0 0 36 48 83 2.85
+13 0 2 0 0 36 48 84 3
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 -1.95
+14 0 2 0 0 36 48 52 -1.8
+14 0 2 0 0 36 48 53 -1.65
+14 0 2 0 0 36 48 54 -1.5
+14 0 2 0 0 36 48 55 -1.35
+14 0 2 0 0 36 48 56 -1.2
+14 0 2 0 0 36 48 57 -1.05
+14 0 2 0 0 36 48 58 -0.9
+14 0 2 0 0 36 48 59 -0.75
+14 0 2 0 0 36 48 60 -0.6
+14 0 2 0 0 36 48 61 -0.45
+14 0 2 0 0 36 48 62 -0.3
+14 0 2 0 0 36 48 63 -0.15
+14 0 2 0 0 36 48 64 0
+14 0 2 0 0 36 48 65 0.15
+14 0 2 0 0 36 48 66 0.3
+14 0 2 0 0 36 48 67 0.45
+14 0 2 0 0 36 48 68 0.6
+14 0 2 0 0 36 48 69 0.75
+14 0 2 0 0 36 48 70 0.9
+14 0 2 0 0 36 48 71 1.05
+14 0 2 0 0 36 48 72 1.2
+14 0 2 0 0 36 48 73 1.35
+14 0 2 0 0 36 48 74 1.5
+14 0 2 0 0 36 48 75 1.65
+14 0 2 0 0 36 48 76 1.8
+14 0 2 0 0 36 48 77 1.95
+14 0 2 0 0 36 48 78 2.1
+14 0 2 0 0 36 48 79 2.25
+14 0 2 0 0 36 48 80 2.4
+14 0 2 0 0 36 48 81 2.55
+14 0 2 0 0 36 48 82 2.7
+14 0 2 0 0 36 48 83 2.85
+14 0 2 0 0 36 48 84 3
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 -4.5
+14 0 1 0 0 36 48 36 -4.2
+14 0 1 0 0 36 48 38 -3.9
+14 0 1 0 0 36 48 40 -3.6
+14 0 1 0 0 36 48 42 -3.3
+14 0 1 0 0 36 48 44 -3
+14 0 1 0 0 36 48 46 -2.7
+14 0 1 0 0 36 48 48 -2.4
+14 0 1 0 0 36 48 50 -2.1
+14 0 1 0 0 36 48 52 -1.8
+14 0 1 0 0 36 48 54 -1.5
+14 0 1 0 0 36 48 56 -1.2
+14 0 1 0 0 36 48 58 -0.9
+14 0 1 0 0 36 48 60 -0.6
+14 0 1 0 0 36 48 62 -0.3
+14 0 1 0 0 36 48 64 0
+14 0 1 0 0 36 48 66 0.3
+14 0 1 0 0 36 48 68 0.6
+14 0 1 0 0 36 48 70 0.9
+14 0 1 0 0 36 48 72 1.2
+14 0 1 0 0 36 48 74 1.5
+14 0 1 0 0 36 48 76 1.8
+14 0 1 0 0 36 48 78 2.1
+14 0 1 0 0 36 48 80 2.4
+14 0 1 0 0 36 48 82 2.7
+14 0 1 0 0 36 48 84 3
+14 0 1 0 0 36 48 86 3.3
+14 0 1 0 0 36 48 88 3.6
+14 0 1 0 0 36 48 90 3.9
+14 0 1 0 0 36 48 92 4.2
+14 0 1 0 0 36 48 94 4.5
+14 0 1 0 0 36 48 96 4.8
+14 0 1 0 0 36 48 98 5.1
+14 0 1 0 0 36 48 100 5.4
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 -1.95
+15 0 2 0 0 36 48 52 -1.8
+15 0 2 0 0 36 48 53 -1.65
+15 0 2 0 0 36 48 54 -1.5
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+15 0 2 0 0 36 48 57 -1.05
+15 0 2 0 0 36 48 58 -0.9
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+15 0 2 0 0 36 48 62 -0.3
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+15 0 2 0 0 36 48 64 0
+15 0 2 0 0 36 48 65 0.15
+15 0 2 0 0 36 48 66 0.3
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+15 0 2 0 0 36 48 68 0.6
+15 0 2 0 0 36 48 69 0.75
+15 0 2 0 0 36 48 70 0.9
+15 0 2 0 0 36 48 71 1.05
+15 0 2 0 0 36 48 72 1.2
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+15 0 2 0 0 36 48 74 1.5
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+15 0 2 0 0 36 48 76 1.8
+15 0 2 0 0 36 48 77 1.95
+15 0 2 0 0 36 48 78 2.1
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+15 0 2 0 0 36 48 80 2.4
+15 0 2 0 0 36 48 81 2.55
+15 0 2 0 0 36 48 82 2.7
+15 0 2 0 0 36 48 83 2.85
+15 0 2 0 0 36 48 84 3
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 -1.95
+16 0 2 0 0 36 48 52 -1.8
+16 0 2 0 0 36 48 53 -1.65
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+16 0 2 0 0 36 48 64 0
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+16 0 2 0 0 36 48 66 0.3
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+16 0 2 0 0 36 48 68 0.6
+16 0 2 0 0 36 48 69 0.75
+16 0 2 0 0 36 48 70 0.9
+16 0 2 0 0 36 48 71 1.05
+16 0 2 0 0 36 48 72 1.2
+16 0 2 0 0 36 48 73 1.35
+16 0 2 0 0 36 48 74 1.5
+16 0 2 0 0 36 48 75 1.65
+16 0 2 0 0 36 48 76 1.8
+16 0 2 0 0 36 48 77 1.95
+16 0 2 0 0 36 48 78 2.1
+16 0 2 0 0 36 48 79 2.25
+16 0 2 0 0 36 48 80 2.4
+16 0 2 0 0 36 48 81 2.55
+16 0 2 0 0 36 48 82 2.7
+16 0 2 0 0 36 48 83 2.85
+16 0 2 0 0 36 48 84 3
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 -4.5
+16 0 1 0 0 36 48 36 -4.2
+16 0 1 0 0 36 48 38 -3.9
+16 0 1 0 0 36 48 40 -3.6
+16 0 1 0 0 36 48 42 -3.3
+16 0 1 0 0 36 48 44 -3
+16 0 1 0 0 36 48 46 -2.7
+16 0 1 0 0 36 48 48 -2.4
+16 0 1 0 0 36 48 50 -2.1
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+16 0 1 0 0 36 48 56 -1.2
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+16 0 1 0 0 36 48 62 -0.3
+16 0 1 0 0 36 48 64 0
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+16 0 1 0 0 36 48 68 0.6
+16 0 1 0 0 36 48 70 0.9
+16 0 1 0 0 36 48 72 1.2
+16 0 1 0 0 36 48 74 1.5
+16 0 1 0 0 36 48 76 1.8
+16 0 1 0 0 36 48 78 2.1
+16 0 1 0 0 36 48 80 2.4
+16 0 1 0 0 36 48 82 2.7
+16 0 1 0 0 36 48 84 3
+16 0 1 0 0 36 48 86 3.3
+16 0 1 0 0 36 48 88 3.6
+16 0 1 0 0 36 48 90 3.9
+16 0 1 0 0 36 48 92 4.2
+16 0 1 0 0 36 48 94 4.5
+16 0 1 0 0 36 48 96 4.8
+16 0 1 0 0 36 48 98 5.1
+16 0 1 0 0 36 48 100 5.4
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 -9.6
+16 0 0 0 0 36 48 4 -9
+16 0 0 0 0 36 48 8 -8.4
+16 0 0 0 0 36 48 12 -7.8
+16 0 0 0 0 36 48 16 -7.2
+16 0 0 0 0 36 48 20 -6.6
+16 0 0 0 0 36 48 24 -6
+16 0 0 0 0 36 48 28 -5.4
+16 0 0 0 0 36 48 32 -4.8
+16 0 0 0 0 36 48 36 -4.2
+16 0 0 0 0 36 48 40 -3.6
+16 0 0 0 0 36 48 44 -3
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+16 0 0 0 0 36 48 52 -1.8
+16 0 0 0 0 36 48 56 -1.2
+16 0 0 0 0 36 48 60 -0.6
+16 0 0 0 0 36 48 64 0
+16 0 0 0 0 36 48 68 0.6
+16 0 0 0 0 36 48 72 1.2
+16 0 0 0 0 36 48 76 1.8
+16 0 0 0 0 36 48 80 2.4
+16 0 0 0 0 36 48 84 3
+16 0 0 0 0 36 48 88 3.6
+16 0 0 0 0 36 48 92 4.2
+16 0 0 0 0 36 48 96 4.8
+16 0 0 0 0 36 48 100 5.4
+16 0 0 0 0 36 48 104 6
+16 0 0 0 0 36 48 108 6.6
+16 0 0 0 0 36 48 112 7.2
+16 0 0 0 0 36 48 116 7.8
+16 0 0 0 0 36 48 120 8.4
+16 0 0 0 0 36 48 124 9
+16 0 0 0 0 36 48 128 9.6
+16 0 0 0 0 36 48 132 10.2
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 -1.95
+17 0 2 0 0 36 48 52 -1.8
+17 0 2 0 0 36 48 53 -1.65
+17 0 2 0 0 36 48 54 -1.5
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+17 0 2 0 0 36 48 58 -0.9
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+17 0 2 0 0 36 48 62 -0.3
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+17 0 2 0 0 36 48 66 0.3
+17 0 2 0 0 36 48 67 0.45
+17 0 2 0 0 36 48 68 0.6
+17 0 2 0 0 36 48 69 0.75
+17 0 2 0 0 36 48 70 0.9
+17 0 2 0 0 36 48 71 1.05
+17 0 2 0 0 36 48 72 1.2
+17 0 2 0 0 36 48 73 1.35
+17 0 2 0 0 36 48 74 1.5
+17 0 2 0 0 36 48 75 1.65
+17 0 2 0 0 36 48 76 1.8
+17 0 2 0 0 36 48 77 1.95
+17 0 2 0 0 36 48 78 2.1
+17 0 2 0 0 36 48 79 2.25
+17 0 2 0 0 36 48 80 2.4
+17 0 2 0 0 36 48 81 2.55
+17 0 2 0 0 36 48 82 2.7
+17 0 2 0 0 36 48 83 2.85
+17 0 2 0 0 36 48 84 3
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 -1.95
+18 0 2 0 0 36 48 52 -1.8
+18 0 2 0 0 36 48 53 -1.65
+18 0 2 0 0 36 48 54 -1.5
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+18 0 2 0 0 36 48 56 -1.2
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+18 0 2 0 0 36 48 58 -0.9
+18 0 2 0 0 36 48 59 -0.75
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+18 0 2 0 0 36 48 66 0.3
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+18 0 2 0 0 36 48 68 0.6
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+18 0 2 0 0 36 48 70 0.9
+18 0 2 0 0 36 48 71 1.05
+18 0 2 0 0 36 48 72 1.2
+18 0 2 0 0 36 48 73 1.35
+18 0 2 0 0 36 48 74 1.5
+18 0 2 0 0 36 48 75 1.65
+18 0 2 0 0 36 48 76 1.8
+18 0 2 0 0 36 48 77 1.95
+18 0 2 0 0 36 48 78 2.1
+18 0 2 0 0 36 48 79 2.25
+18 0 2 0 0 36 48 80 2.4
+18 0 2 0 0 36 48 81 2.55
+18 0 2 0 0 36 48 82 2.7
+18 0 2 0 0 36 48 83 2.85
+18 0 2 0 0 36 48 84 3
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 -4.5
+18 0 1 0 0 36 48 36 -4.2
+18 0 1 0 0 36 48 38 -3.9
+18 0 1 0 0 36 48 40 -3.6
+18 0 1 0 0 36 48 42 -3.3
+18 0 1 0 0 36 48 44 -3
+18 0 1 0 0 36 48 46 -2.7
+18 0 1 0 0 36 48 48 -2.4
+18 0 1 0 0 36 48 50 -2.1
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+18 0 1 0 0 36 48 62 -0.3
+18 0 1 0 0 36 48 64 0
+18 0 1 0 0 36 48 66 0.3
+18 0 1 0 0 36 48 68 0.6
+18 0 1 0 0 36 48 70 0.9
+18 0 1 0 0 36 48 72 1.2
+18 0 1 0 0 36 48 74 1.5
+18 0 1 0 0 36 48 76 1.8
+18 0 1 0 0 36 48 78 2.1
+18 0 1 0 0 36 48 80 2.4
+18 0 1 0 0 36 48 82 2.7
+18 0 1 0 0 36 48 84 3
+18 0 1 0 0 36 48 86 3.3
+18 0 1 0 0 36 48 88 3.6
+18 0 1 0 0 36 48 90 3.9
+18 0 1 0 0 36 48 92 4.2
+18 0 1 0 0 36 48 94 4.5
+18 0 1 0 0 36 48 96 4.8
+18 0 1 0 0 36 48 98 5.1
+18 0 1 0 0 36 48 100 5.4
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 -1.95
+19 0 2 0 0 36 48 52 -1.8
+19 0 2 0 0 36 48 53 -1.65
+19 0 2 0 0 36 48 54 -1.5
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+19 0 2 0 0 36 48 57 -1.05
+19 0 2 0 0 36 48 58 -0.9
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+19 0 2 0 0 36 48 62 -0.3
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+19 0 2 0 0 36 48 66 0.3
+19 0 2 0 0 36 48 67 0.45
+19 0 2 0 0 36 48 68 0.6
+19 0 2 0 0 36 48 69 0.75
+19 0 2 0 0 36 48 70 0.9
+19 0 2 0 0 36 48 71 1.05
+19 0 2 0 0 36 48 72 1.2
+19 0 2 0 0 36 48 73 1.35
+19 0 2 0 0 36 48 74 1.5
+19 0 2 0 0 36 48 75 1.65
+19 0 2 0 0 36 48 76 1.8
+19 0 2 0 0 36 48 77 1.95
+19 0 2 0 0 36 48 78 2.1
+19 0 2 0 0 36 48 79 2.25
+19 0 2 0 0 36 48 80 2.4
+19 0 2 0 0 36 48 81 2.55
+19 0 2 0 0 36 48 82 2.7
+19 0 2 0 0 36 48 83 2.85
+19 0 2 0 0 36 48 84 3
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 -1.95
+20 0 2 0 0 36 48 52 -1.8
+20 0 2 0 0 36 48 53 -1.65
+20 0 2 0 0 36 48 54 -1.5
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+20 0 2 0 0 36 48 56 -1.2
+20 0 2 0 0 36 48 57 -1.05
+20 0 2 0 0 36 48 58 -0.9
+20 0 2 0 0 36 48 59 -0.75
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+20 0 2 0 0 36 48 61 -0.45
+20 0 2 0 0 36 48 62 -0.3
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+20 0 2 0 0 36 48 64 0
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+20 0 2 0 0 36 48 66 0.3
+20 0 2 0 0 36 48 67 0.45
+20 0 2 0 0 36 48 68 0.6
+20 0 2 0 0 36 48 69 0.75
+20 0 2 0 0 36 48 70 0.9
+20 0 2 0 0 36 48 71 1.05
+20 0 2 0 0 36 48 72 1.2
+20 0 2 0 0 36 48 73 1.35
+20 0 2 0 0 36 48 74 1.5
+20 0 2 0 0 36 48 75 1.65
+20 0 2 0 0 36 48 76 1.8
+20 0 2 0 0 36 48 77 1.95
+20 0 2 0 0 36 48 78 2.1
+20 0 2 0 0 36 48 79 2.25
+20 0 2 0 0 36 48 80 2.4
+20 0 2 0 0 36 48 81 2.55
+20 0 2 0 0 36 48 82 2.7
+20 0 2 0 0 36 48 83 2.85
+20 0 2 0 0 36 48 84 3
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 -4.5
+20 0 1 0 0 36 48 36 -4.2
+20 0 1 0 0 36 48 38 -3.9
+20 0 1 0 0 36 48 40 -3.6
+20 0 1 0 0 36 48 42 -3.3
+20 0 1 0 0 36 48 44 -3
+20 0 1 0 0 36 48 46 -2.7
+20 0 1 0 0 36 48 48 -2.4
+20 0 1 0 0 36 48 50 -2.1
+20 0 1 0 0 36 48 52 -1.8
+20 0 1 0 0 36 48 54 -1.5
+20 0 1 0 0 36 48 56 -1.2
+20 0 1 0 0 36 48 58 -0.9
+20 0 1 0 0 36 48 60 -0.6
+20 0 1 0 0 36 48 62 -0.3
+20 0 1 0 0 36 48 64 0
+20 0 1 0 0 36 48 66 0.3
+20 0 1 0 0 36 48 68 0.6
+20 0 1 0 0 36 48 70 0.9
+20 0 1 0 0 36 48 72 1.2
+20 0 1 0 0 36 48 74 1.5
+20 0 1 0 0 36 48 76 1.8
+20 0 1 0 0 36 48 78 2.1
+20 0 1 0 0 36 48 80 2.4
+20 0 1 0 0 36 48 82 2.7
+20 0 1 0 0 36 48 84 3
+20 0 1 0 0 36 48 86 3.3
+20 0 1 0 0 36 48 88 3.6
+20 0 1 0 0 36 48 90 3.9
+20 0 1 0 0 36 48 92 4.2
+20 0 1 0 0 36 48 94 4.5
+20 0 1 0 0 36 48 96 4.8
+20 0 1 0 0 36 48 98 5.1
+20 0 1 0 0 36 48 100 5.4
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 -9.6
+20 0 0 0 0 36 48 4 -9
+20 0 0 0 0 36 48 8 -8.4
+20 0 0 0 0 36 48 12 -7.8
+20 0 0 0 0 36 48 16 -7.2
+20 0 0 0 0 36 48 20 -6.6
+20 0 0 0 0 36 48 24 -6
+20 0 0 0 0 36 48 28 -5.4
+20 0 0 0 0 36 48 32 -4.8
+20 0 0 0 0 36 48 36 -4.2
+20 0 0 0 0 36 48 40 -3.6
+20 0 0 0 0 36 48 44 -3
+20 0 0 0 0 36 48 48 -2.4
+20 0 0 0 0 36 48 52 -1.8
+20 0 0 0 0 36 48 56 -1.2
+20 0 0 0 0 36 48 60 -0.6
+20 0 0 0 0 36 48 64 0
+20 0 0 0 0 36 48 68 0.6
+20 0 0 0 0 36 48 72 1.2
+20 0 0 0 0 36 48 76 1.8
+20 0 0 0 0 36 48 80 2.4
+20 0 0 0 0 36 48 84 3
+20 0 0 0 0 36 48 88 3.6
+20 0 0 0 0 36 48 92 4.2
+20 0 0 0 0 36 48 96 4.8
+20 0 0 0 0 36 48 100 5.4
+20 0 0 0 0 36 48 104 6
+20 0 0 0 0 36 48 108 6.6
+20 0 0 0 0 36 48 112 7.2
+20 0 0 0 0 36 48 116 7.8
+20 0 0 0 0 36 48 120 8.4
+20 0 0 0 0 36 48 124 9
+20 0 0 0 0 36 48 128 9.6
+20 0 0 0 0 36 48 132 10.2
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 -1.95
+21 0 2 0 0 36 48 52 -1.8
+21 0 2 0 0 36 48 53 -1.65
+21 0 2 0 0 36 48 54 -1.5
+21 0 2 0 0 36 48 55 -1.35
+21 0 2 0 0 36 48 56 -1.2
+21 0 2 0 0 36 48 57 -1.05
+21 0 2 0 0 36 48 58 -0.9
+21 0 2 0 0 36 48 59 -0.75
+21 0 2 0 0 36 48 60 -0.6
+21 0 2 0 0 36 48 61 -0.45
+21 0 2 0 0 36 48 62 -0.3
+21 0 2 0 0 36 48 63 -0.15
+21 0 2 0 0 36 48 64 0
+21 0 2 0 0 36 48 65 0.15
+21 0 2 0 0 36 48 66 0.3
+21 0 2 0 0 36 48 67 0.45
+21 0 2 0 0 36 48 68 0.6
+21 0 2 0 0 36 48 69 0.75
+21 0 2 0 0 36 48 70 0.9
+21 0 2 0 0 36 48 71 1.05
+21 0 2 0 0 36 48 72 1.2
+21 0 2 0 0 36 48 73 1.35
+21 0 2 0 0 36 48 74 1.5
+21 0 2 0 0 36 48 75 1.65
+21 0 2 0 0 36 48 76 1.8
+21 0 2 0 0 36 48 77 1.95
+21 0 2 0 0 36 48 78 2.1
+21 0 2 0 0 36 48 79 2.25
+21 0 2 0 0 36 48 80 2.4
+21 0 2 0 0 36 48 81 2.55
+21 0 2 0 0 36 48 82 2.7
+21 0 2 0 0 36 48 83 2.85
+21 0 2 0 0 36 48 84 3
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 -1.95
+22 0 2 0 0 36 48 52 -1.8
+22 0 2 0 0 36 48 53 -1.65
+22 0 2 0 0 36 48 54 -1.5
+22 0 2 0 0 36 48 55 -1.35
+22 0 2 0 0 36 48 56 -1.2
+22 0 2 0 0 36 48 57 -1.05
+22 0 2 0 0 36 48 58 -0.9
+22 0 2 0 0 36 48 59 -0.75
+22 0 2 0 0 36 48 60 -0.6
+22 0 2 0 0 36 48 61 -0.45
+22 0 2 0 0 36 48 62 -0.3
+22 0 2 0 0 36 48 63 -0.15
+22 0 2 0 0 36 48 64 0
+22 0 2 0 0 36 48 65 0.15
+22 0 2 0 0 36 48 66 0.3
+22 0 2 0 0 36 48 67 0.45
+22 0 2 0 0 36 48 68 0.6
+22 0 2 0 0 36 48 69 0.75
+22 0 2 0 0 36 48 70 0.9
+22 0 2 0 0 36 48 71 1.05
+22 0 2 0 0 36 48 72 1.2
+22 0 2 0 0 36 48 73 1.35
+22 0 2 0 0 36 48 74 1.5
+22 0 2 0 0 36 48 75 1.65
+22 0 2 0 0 36 48 76 1.8
+22 0 2 0 0 36 48 77 1.95
+22 0 2 0 0 36 48 78 2.1
+22 0 2 0 0 36 48 79 2.25
+22 0 2 0 0 36 48 80 2.4
+22 0 2 0 0 36 48 81 2.55
+22 0 2 0 0 36 48 82 2.7
+22 0 2 0 0 36 48 83 2.85
+22 0 2 0 0 36 48 84 3
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 -4.5
+22 0 1 0 0 36 48 36 -4.2
+22 0 1 0 0 36 48 38 -3.9
+22 0 1 0 0 36 48 40 -3.6
+22 0 1 0 0 36 48 42 -3.3
+22 0 1 0 0 36 48 44 -3
+22 0 1 0 0 36 48 46 -2.7
+22 0 1 0 0 36 48 48 -2.4
+22 0 1 0 0 36 48 50 -2.1
+22 0 1 0 0 36 48 52 -1.8
+22 0 1 0 0 36 48 54 -1.5
+22 0 1 0 0 36 48 56 -1.2
+22 0 1 0 0 36 48 58 -0.9
+22 0 1 0 0 36 48 60 -0.6
+22 0 1 0 0 36 48 62 -0.3
+22 0 1 0 0 36 48 64 0
+22 0 1 0 0 36 48 66 0.3
+22 0 1 0 0 36 48 68 0.6
+22 0 1 0 0 36 48 70 0.9
+22 0 1 0 0 36 48 72 1.2
+22 0 1 0 0 36 48 74 1.5
+22 0 1 0 0 36 48 76 1.8
+22 0 1 0 0 36 48 78 2.1
+22 0 1 0 0 36 48 80 2.4
+22 0 1 0 0 36 48 82 2.7
+22 0 1 0 0 36 48 84 3
+22 0 1 0 0 36 48 86 3.3
+22 0 1 0 0 36 48 88 3.6
+22 0 1 0 0 36 48 90 3.9
+22 0 1 0 0 36 48 92 4.2
+22 0 1 0 0 36 48 94 4.5
+22 0 1 0 0 36 48 96 4.8
+22 0 1 0 0 36 48 98 5.1
+22 0 1 0 0 36 48 100 5.4
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 -1.95
+23 0 2 0 0 36 48 52 -1.8
+23 0 2 0 0 36 48 53 -1.65
+23 0 2 0 0 36 48 54 -1.5
+23 0 2 0 0 36 48 55 -1.35
+23 0 2 0 0 36 48 56 -1.2
+23 0 2 0 0 36 48 57 -1.05
+23 0 2 0 0 36 48 58 -0.9
+23 0 2 0 0 36 48 59 -0.75
+23 0 2 0 0 36 48 60 -0.6
+23 0 2 0 0 36 48 61 -0.45
+23 0 2 0 0 36 48 62 -0.3
+23 0 2 0 0 36 48 63 -0.15
+23 0 2 0 0 36 48 64 0
+23 0 2 0 0 36 48 65 0.15
+23 0 2 0 0 36 48 66 0.3
+23 0 2 0 0 36 48 67 0.45
+23 0 2 0 0 36 48 68 0.6
+23 0 2 0 0 36 48 69 0.75
+23 0 2 0 0 36 48 70 0.9
+23 0 2 0 0 36 48 71 1.05
+23 0 2 0 0 36 48 72 1.2
+23 0 2 0 0 36 48 73 1.35
+23 0 2 0 0 36 48 74 1.5
+23 0 2 0 0 36 48 75 1.65
+23 0 2 0 0 36 48 76 1.8
+23 0 2 0 0 36 48 77 1.95
+23 0 2 0 0 36 48 78 2.1
+23 0 2 0 0 36 48 79 2.25
+23 0 2 0 0 36 48 80 2.4
+23 0 2 0 0 36 48 81 2.55
+23 0 2 0 0 36 48 82 2.7
+23 0 2 0 0 36 48 83 2.85
+23 0 2 0 0 36 48 84 3
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 -1.95
+24 0 2 0 0 36 48 52 -1.8
+24 0 2 0 0 36 48 53 -1.65
+24 0 2 0 0 36 48 54 -1.5
+24 0 2 0 0 36 48 55 -1.35
+24 0 2 0 0 36 48 56 -1.2
+24 0 2 0 0 36 48 57 -1.05
+24 0 2 0 0 36 48 58 -0.9
+24 0 2 0 0 36 48 59 -0.75
+24 0 2 0 0 36 48 60 -0.6
+24 0 2 0 0 36 48 61 -0.45
+24 0 2 0 0 36 48 62 -0.3
+24 0 2 0 0 36 48 63 -0.15
+24 0 2 0 0 36 48 64 0
+24 0 2 0 0 36 48 65 0.15
+24 0 2 0 0 36 48 66 0.3
+24 0 2 0 0 36 48 67 0.45
+24 0 2 0 0 36 48 68 0.6
+24 0 2 0 0 36 48 69 0.75
+24 0 2 0 0 36 48 70 0.9
+24 0 2 0 0 36 48 71 1.05
+24 0 2 0 0 36 48 72 1.2
+24 0 2 0 0 36 48 73 1.35
+24 0 2 0 0 36 48 74 1.5
+24 0 2 0 0 36 48 75 1.65
+24 0 2 0 0 36 48 76 1.8
+24 0 2 0 0 36 48 77 1.95
+24 0 2 0 0 36 48 78 2.1
+24 0 2 0 0 36 48 79 2.25
+24 0 2 0 0 36 48 80 2.4
+24 0 2 0 0 36 48 81 2.55
+24 0 2 0 0 36 48 82 2.7
+24 0 2 0 0 36 48 83 2.85
+24 0 2 0 0 36 48 84 3
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 -4.5
+24 0 1 0 0 36 48 36 -4.2
+24 0 1 0 0 36 48 38 -3.9
+24 0 1 0 0 36 48 40 -3.6
+24 0 1 0 0 36 48 42 -3.3
+24 0 1 0 0 36 48 44 -3
+24 0 1 0 0 36 48 46 -2.7
+24 0 1 0 0 36 48 48 -2.4
+24 0 1 0 0 36 48 50 -2.1
+24 0 1 0 0 36 48 52 -1.8
+24 0 1 0 0 36 48 54 -1.5
+24 0 1 0 0 36 48 56 -1.2
+24 0 1 0 0 36 48 58 -0.9
+24 0 1 0 0 36 48 60 -0.6
+24 0 1 0 0 36 48 62 -0.3
+24 0 1 0 0 36 48 64 0
+24 0 1 0 0 36 48 66 0.3
+24 0 1 0 0 36 48 68 0.6
+24 0 1 0 0 36 48 70 0.9
+24 0 1 0 0 36 48 72 1.2
+24 0 1 0 0 36 48 74 1.5
+24 0 1 0 0 36 48 76 1.8
+24 0 1 0 0 36 48 78 2.1
+24 0 1 0 0 36 48 80 2.4
+24 0 1 0 0 36 48 82 2.7
+24 0 1 0 0 36 48 84 3
+24 0 1 0 0 36 48 86 3.3
+24 0 1 0 0 36 48 88 3.6
+24 0 1 0 0 36 48 90 3.9
+24 0 1 0 0 36 48 92 4.2
+24 0 1 0 0 36 48 94 4.5
+24 0 1 0 0 36 48 96 4.8
+24 0 1 0 0 36 48 98 5.1
+24 0 1 0 0 36 48 100 5.4
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 -9.6
+24 0 0 0 0 36 48 4 -9
+24 0 0 0 0 36 48 8 -8.4
+24 0 0 0 0 36 48 12 -7.8
+24 0 0 0 0 36 48 16 -7.2
+24 0 0 0 0 36 48 20 -6.6
+24 0 0 0 0 36 48 24 -6
+24 0 0 0 0 36 48 28 -5.4
+24 0 0 0 0 36 48 32 -4.8
+24 0 0 0 0 36 48 36 -4.2
+24 0 0 0 0 36 48 40 -3.6
+24 0 0 0 0 36 48 44 -3
+24 0 0 0 0 36 48 48 -2.4
+24 0 0 0 0 36 48 52 -1.8
+24 0 0 0 0 36 48 56 -1.2
+24 0 0 0 0 36 48 60 -0.6
+24 0 0 0 0 36 48 64 0
+24 0 0 0 0 36 48 68 0.6
+24 0 0 0 0 36 48 72 1.2
+24 0 0 0 0 36 48 76 1.8
+24 0 0 0 0 36 48 80 2.4
+24 0 0 0 0 36 48 84 3
+24 0 0 0 0 36 48 88 3.6
+24 0 0 0 0 36 48 92 4.2
+24 0 0 0 0 36 48 96 4.8
+24 0 0 0 0 36 48 100 5.4
+24 0 0 0 0 36 48 104 6
+24 0 0 0 0 36 48 108 6.6
+24 0 0 0 0 36 48 112 7.2
+24 0 0 0 0 36 48 116 7.8
+24 0 0 0 0 36 48 120 8.4
+24 0 0 0 0 36 48 124 9
+24 0 0 0 0 36 48 128 9.6
+24 0 0 0 0 36 48 132 10.2
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/phi.xl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/phi.xl
new file mode 100644
index 000000000..155f9fba0
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/phi.xl
@@ -0,0 +1,1082 @@
+# SPACETIMETOY::phi x (phi)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0.587785252292474
+0 0 2 0 0 28 48 64 0.669130606358859
+0 0 2 0 0 29 48 64 0.743144825477395
+0 0 2 0 0 30 48 64 0.809016994374948
+0 0 2 0 0 31 48 64 0.866025403784439
+0 0 2 0 0 32 48 64 0.913545457642601
+0 0 2 0 0 33 48 64 0.951056516295154
+0 0 2 0 0 34 48 64 0.978147600733806
+0 0 2 0 0 35 48 64 0.994521895368273
+0 0 2 0 0 36 48 64 1
+0 0 2 0 0 37 48 64 0.994521895368273
+0 0 2 0 0 38 48 64 0.978147600733806
+0 0 2 0 0 39 48 64 0.951056516295154
+0 0 2 0 0 40 48 64 0.913545457642601
+0 0 2 0 0 41 48 64 0.866025403784439
+0 0 2 0 0 42 48 64 0.809016994374948
+0 0 2 0 0 43 48 64 0.743144825477395
+0 0 2 0 0 44 48 64 0.669130606358859
+0 0 2 0 0 45 48 64 0.587785252292474
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -0.309016994374946
+0 0 1 0 0 20 48 64 -0.104528463267652
+0 0 1 0 0 22 48 64 0.104528463267655
+0 0 1 0 0 24 48 64 0.309016994374949
+0 0 1 0 0 26 48 64 0.500000000000001
+0 0 1 0 0 28 48 64 0.669130606358859
+0 0 1 0 0 30 48 64 0.809016994374948
+0 0 1 0 0 32 48 64 0.913545457642601
+0 0 1 0 0 34 48 64 0.978147600733806
+0 0 1 0 0 36 48 64 1
+0 0 1 0 0 38 48 64 0.978147600733806
+0 0 1 0 0 40 48 64 0.913545457642601
+0 0 1 0 0 42 48 64 0.809016994374948
+0 0 1 0 0 44 48 64 0.669130606358859
+0 0 1 0 0 46 48 64 0.500000000000001
+0 0 1 0 0 48 48 64 0.309016994374948
+0 0 1 0 0 50 48 64 0.104528463267655
+0 0 1 0 0 52 48 64 -0.104528463267652
+0 0 1 0 0 54 48 64 -0.309016994374946
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -0.80901699437495
+0 0 0 0 0 4 48 64 -0.978147600733806
+0 0 0 0 0 8 48 64 -0.978147600733805
+0 0 0 0 0 12 48 64 -0.809016994374946
+0 0 0 0 0 16 48 64 -0.499999999999998
+0 0 0 0 0 20 48 64 -0.104528463267652
+0 0 0 0 0 24 48 64 0.309016994374949
+0 0 0 0 0 28 48 64 0.669130606358859
+0 0 0 0 0 32 48 64 0.913545457642601
+0 0 0 0 0 36 48 64 1
+0 0 0 0 0 40 48 64 0.913545457642601
+0 0 0 0 0 44 48 64 0.669130606358859
+0 0 0 0 0 48 48 64 0.309016994374948
+0 0 0 0 0 52 48 64 -0.104528463267652
+0 0 0 0 0 56 48 64 -0.499999999999998
+0 0 0 0 0 60 48 64 -0.809016994374946
+0 0 0 0 0 64 48 64 -0.978147600733805
+0 0 0 0 0 68 48 64 -0.978147600733806
+0 0 0 0 0 72 48 64 -0.809016994374949
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0.651871664950936
+1 0 2 0 0 28 48 64 0.727590953453341
+1 0 2 0 0 29 48 64 0.795384371220949
+1 0 2 0 0 30 48 64 0.854522827715621
+1 0 2 0 0 31 48 64 0.904134604410845
+1 0 2 0 0 32 48 64 0.943840493177814
+1 0 2 0 0 33 48 64 0.973205467990207
+1 0 2 0 0 34 48 64 0.991907800038961
+1 0 2 0 0 35 48 64 0.999742582660437
+1 0 2 0 0 36 48 64 0.9966239763367
+1 0 2 0 0 37 48 64 0.982586149171243
+1 0 2 0 0 38 48 64 0.957782902536096
+1 0 2 0 0 39 48 64 0.922485985991805
+1 0 2 0 0 40 48 64 0.877082119942384
+1 0 2 0 0 41 48 64 0.822068758645642
+1 0 2 0 0 42 48 64 0.758048640000231
+1 0 2 0 0 43 48 64 0.685605996735215
+1 0 2 0 0 44 48 64 0.606165715800633
+1 0 2 0 0 45 48 64 0.51968926454065
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0.711949273594183
+2 0 2 0 0 28 48 64 0.78147378127565
+2 0 2 0 0 29 48 64 0.84223574547248
+2 0 2 0 0 30 48 64 0.89424464894101
+2 0 2 0 0 31 48 64 0.93614889929256
+2 0 2 0 0 32 48 64 0.967773067625504
+2 0 2 0 0 33 48 64 0.988794111710009
+2 0 2 0 0 34 48 64 0.998981720588149
+2 0 2 0 0 35 48 64 0.998224276685161
+2 0 2 0 0 36 48 64 0.98653007871495
+2 0 2 0 0 37 48 64 0.964027250757648
+2 0 2 0 0 38 48 64 0.930962338505373
+2 0 2 0 0 39 48 64 0.887697608056039
+2 0 2 0 0 40 48 64 0.834707076850177
+2 0 2 0 0 41 48 64 0.772571320236659
+2 0 2 0 0 42 48 64 0.701959462739158
+2 0 2 0 0 43 48 64 0.623542612853119
+2 0 2 0 0 44 48 64 0.538759929887647
+2 0 2 0 0 45 48 64 0.447733200317458
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -0.152262005775262
+2 0 1 0 0 20 48 64 0.0563673777921828
+2 0 1 0 0 22 48 64 0.265364348434242
+2 0 1 0 0 24 48 64 0.460163565831275
+2 0 1 0 0 26 48 64 0.634688132023965
+2 0 1 0 0 28 48 64 0.78147378127565
+2 0 1 0 0 30 48 64 0.89424464894101
+2 0 1 0 0 32 48 64 0.967773067625504
+2 0 1 0 0 34 48 64 0.998981720588149
+2 0 1 0 0 36 48 64 0.98653007871495
+2 0 1 0 0 38 48 64 0.930962338505373
+2 0 1 0 0 40 48 64 0.834707076850177
+2 0 1 0 0 42 48 64 0.701959462739158
+2 0 1 0 0 44 48 64 0.538759929887647
+2 0 1 0 0 46 48 64 0.351841028813172
+2 0 1 0 0 48 48 64 0.149544986458989
+2 0 1 0 0 50 48 64 -0.0589496740482509
+2 0 1 0 0 52 48 64 -0.262641582984751
+2 0 1 0 0 54 48 64 -0.457111819326738
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0.766888292925544
+3 0 2 0 0 28 48 64 0.829797773380963
+3 0 2 0 0 29 48 64 0.883440225920493
+3 0 2 0 0 30 48 64 0.927885076088328
+3 0 2 0 0 31 48 64 0.961844827393876
+3 0 2 0 0 32 48 64 0.985181771319301
+3 0 2 0 0 33 48 64 0.997717444211751
+3 0 2 0 0 34 48 64 0.999321755502667
+3 0 2 0 0 35 48 64 0.989977288518775
+3 0 2 0 0 36 48 64 0.969786423195805
+3 0 2 0 0 37 48 64 0.938970374879445
+3 0 2 0 0 38 48 64 0.897866770643724
+3 0 2 0 0 39 48 64 0.846925950178128
+3 0 2 0 0 40 48 64 0.78670591733317
+3 0 2 0 0 41 48 64 0.717863008881485
+3 0 2 0 0 42 48 64 0.641135306561959
+3 0 2 0 0 43 48 64 0.557398254440422
+3 0 2 0 0 44 48 64 0.468165889306313
+3 0 2 0 0 45 48 64 0.373242733154404
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0.817073936112583
+4 0 2 0 0 28 48 64 0.872890035250888
+4 0 2 0 0 29 48 64 0.91874889330204
+4 0 2 0 0 30 48 64 0.955223189719827
+4 0 2 0 0 31 48 64 0.981033161624421
+4 0 2 0 0 32 48 64 0.995947061256496
+4 0 2 0 0 33 48 64 0.999915329090611
+4 0 2 0 0 34 48 64 0.992925689339844
+4 0 2 0 0 35 48 64 0.975057284939944
+4 0 2 0 0 36 48 64 0.946505948882387
+4 0 2 0 0 37 48 64 0.907584495579771
+4 0 2 0 0 38 48 64 0.858719356619317
+4 0 2 0 0 39 48 64 0.800445868704691
+4 0 2 0 0 40 48 64 0.733401238186193
+4 0 2 0 0 41 48 64 0.658310807207182
+4 0 2 0 0 42 48 64 0.576015259176175
+4 0 2 0 0 43 48 64 0.487606086297897
+4 0 2 0 0 44 48 64 0.393966047161159
+4 0 2 0 0 45 48 64 0.295745546616421
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 0.0118442248491627
+4 0 1 0 0 20 48 64 0.219341841415398
+4 0 1 0 0 22 48 64 0.418395998079085
+4 0 1 0 0 24 48 64 0.598916431647062
+4 0 1 0 0 26 48 64 0.752366821195227
+4 0 1 0 0 28 48 64 0.872890035250888
+4 0 1 0 0 30 48 64 0.955223189719827
+4 0 1 0 0 32 48 64 0.995947061256496
+4 0 1 0 0 34 48 64 0.992925689339844
+4 0 1 0 0 36 48 64 0.946505948882387
+4 0 1 0 0 38 48 64 0.858719356619317
+4 0 1 0 0 40 48 64 0.733401238186193
+4 0 1 0 0 42 48 64 0.576015259176175
+4 0 1 0 0 44 48 64 0.393966047161159
+4 0 1 0 0 46 48 64 0.19429299044371
+4 0 1 0 0 48 48 64 -0.0138270135952162
+4 0 1 0 0 50 48 64 -0.22018995546844
+4 0 1 0 0 52 48 64 -0.417244738885765
+4 0 1 0 0 54 48 64 -0.596487590788705
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -0.953971314608739
+4 0 0 0 0 4 48 64 -0.992500903451822
+4 0 0 0 0 8 48 64 -0.859418069500438
+4 0 0 0 0 12 48 64 -0.577734043764375
+4 0 0 0 0 16 48 64 -0.196154553312435
+4 0 0 0 0 20 48 64 0.219341841415398
+4 0 0 0 0 24 48 64 0.598916431647062
+4 0 0 0 0 28 48 64 0.872890035250888
+4 0 0 0 0 32 48 64 0.995947061256496
+4 0 0 0 0 36 48 64 0.946505948882387
+4 0 0 0 0 40 48 64 0.733401238186193
+4 0 0 0 0 44 48 64 0.393966047161159
+4 0 0 0 0 48 48 64 -0.0138270135952162
+4 0 0 0 0 52 48 64 -0.417244738885765
+4 0 0 0 0 56 48 64 -0.750491418912486
+4 0 0 0 0 60 48 64 -0.953971314608739
+4 0 0 0 0 64 48 64 -0.992500903451822
+4 0 0 0 0 68 48 64 -0.859418069500438
+4 0 0 0 0 72 48 64 -0.577734043764375
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0.86143343238177
+5 0 2 0 0 28 48 64 0.909818870194794
+5 0 2 0 0 29 48 64 0.947934240679698
+5 0 2 0 0 30 48 64 0.976105658228434
+5 0 2 0 0 31 48 64 0.993569976736339
+5 0 2 0 0 32 48 64 0.999989269396993
+5 0 2 0 0 33 48 64 0.995372267492106
+5 0 2 0 0 34 48 64 0.979836687631374
+5 0 2 0 0 35 48 64 0.953564912525534
+5 0 2 0 0 36 48 64 0.916845656124769
+5 0 2 0 0 37 48 64 0.870081246584721
+5 0 2 0 0 38 48 64 0.813784030233306
+5 0 2 0 0 39 48 64 0.748570393594325
+5 0 2 0 0 40 48 64 0.675150763673217
+5 0 2 0 0 41 48 64 0.594324612732806
+5 0 2 0 0 42 48 64 0.507080373042668
+5 0 2 0 0 43 48 64 0.414574825847261
+5 0 2 0 0 44 48 64 0.317599145414535
+5 0 2 0 0 45 48 64 0.216784668968918
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0.900322829789623
+6 0 2 0 0 28 48 64 0.940894843776224
+6 0 2 0 0 29 48 64 0.970771674289986
+6 0 2 0 0 30 48 64 0.990438714204085
+6 0 2 0 0 31 48 64 0.999370851888336
+6 0 2 0 0 32 48 64 0.99726959819021
+6 0 2 0 0 33 48 64 0.984116030483188
+6 0 2 0 0 34 48 64 0.960142792463406
+6 0 2 0 0 35 48 64 0.925645109620869
+6 0 2 0 0 36 48 64 0.881005547445827
+6 0 2 0 0 37 48 64 0.82671348909387
+6 0 2 0 0 38 48 64 0.763363633410465
+6 0 2 0 0 39 48 64 0.691648425806622
+6 0 2 0 0 40 48 64 0.612348074525625
+6 0 2 0 0 41 48 64 0.52635818162553
+6 0 2 0 0 42 48 64 0.434808327997274
+6 0 2 0 0 43 48 64 0.338746337029757
+6 0 2 0 0 44 48 64 0.238585603412324
+6 0 2 0 0 45 48 64 0.135822567707366
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0.171297891441266
+6 0 1 0 0 20 48 64 0.372466270141808
+6 0 1 0 0 22 48 64 0.559670167359905
+6 0 1 0 0 24 48 64 0.721372890551624
+6 0 1 0 0 26 48 64 0.849875611298912
+6 0 1 0 0 28 48 64 0.940894843776224
+6 0 1 0 0 30 48 64 0.990438714204085
+6 0 1 0 0 32 48 64 0.99726959819021
+6 0 1 0 0 34 48 64 0.960142792463406
+6 0 1 0 0 36 48 64 0.881005547445827
+6 0 1 0 0 38 48 64 0.763363633410465
+6 0 1 0 0 40 48 64 0.612348074525625
+6 0 1 0 0 42 48 64 0.434808327997274
+6 0 1 0 0 44 48 64 0.238585603412324
+6 0 1 0 0 46 48 64 0.0315893007253019
+6 0 1 0 0 48 48 64 -0.176520058298532
+6 0 1 0 0 50 48 64 -0.375078384527448
+6 0 1 0 0 52 48 64 -0.557112444551779
+6 0 1 0 0 54 48 64 -0.716703122488698
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0.932870728556885
+7 0 2 0 0 28 48 64 0.965412773174055
+7 0 2 0 0 29 48 64 0.987081146999331
+7 0 2 0 0 30 48 64 0.998151891920751
+7 0 2 0 0 31 48 64 0.998417609669632
+7 0 2 0 0 32 48 64 0.987796133615864
+7 0 2 0 0 33 48 64 0.966216151208198
+7 0 2 0 0 34 48 64 0.933975671630802
+7 0 2 0 0 35 48 64 0.891486050849698
+7 0 2 0 0 36 48 64 0.839227270185975
+7 0 2 0 0 37 48 64 0.777773571734462
+7 0 2 0 0 38 48 64 0.70779772575667
+7 0 2 0 0 39 48 64 0.630063172162863
+7 0 2 0 0 40 48 64 0.545424830337408
+7 0 2 0 0 41 48 64 0.454897300966063
+7 0 2 0 0 42 48 64 0.359672240379965
+7 0 2 0 0 43 48 64 0.260589201276723
+7 0 2 0 0 44 48 64 0.158495574502317
+7 0 2 0 0 45 48 64 0.054504353930833
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0.959372716591799
+8 0 2 0 0 28 48 64 0.98360771932866
+8 0 2 0 0 29 48 64 0.996727902282592
+8 0 2 0 0 30 48 64 0.999194640694627
+8 0 2 0 0 31 48 64 0.990749926403889
+8 0 2 0 0 32 48 64 0.971632325042105
+8 0 2 0 0 33 48 64 0.941784225056177
+8 0 2 0 0 34 48 64 0.9015086674104
+8 0 2 0 0 35 48 64 0.851317577920556
+8 0 2 0 0 36 48 64 0.791792419977948
+8 0 2 0 0 37 48 64 0.72359125481674
+8 0 2 0 0 38 48 64 0.647460367410559
+8 0 2 0 0 39 48 64 0.564231940334506
+8 0 2 0 0 40 48 64 0.474849558026178
+8 0 2 0 0 41 48 64 0.38044021628657
+8 0 2 0 0 42 48 64 0.282131042670863
+8 0 2 0 0 43 48 64 0.180638139153101
+8 0 2 0 0 44 48 64 0.0768056742352505
+8 0 2 0 0 45 48 64 -0.0277294751922885
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0.330424056350196
+8 0 1 0 0 20 48 64 0.519716883124807
+8 0 1 0 0 22 48 64 0.685604188639897
+8 0 1 0 0 24 48 64 0.824125056207524
+8 0 1 0 0 26 48 64 0.924528130602887
+8 0 1 0 0 28 48 64 0.98360771932866
+8 0 1 0 0 30 48 64 0.999194640694627
+8 0 1 0 0 32 48 64 0.971632325042105
+8 0 1 0 0 34 48 64 0.9015086674104
+8 0 1 0 0 36 48 64 0.791792419977948
+8 0 1 0 0 38 48 64 0.647460367410559
+8 0 1 0 0 40 48 64 0.474849558026178
+8 0 1 0 0 42 48 64 0.282131042670863
+8 0 1 0 0 44 48 64 0.0768056742352505
+8 0 1 0 0 46 48 64 -0.13185508828719
+8 0 1 0 0 48 48 64 -0.334070343302036
+8 0 1 0 0 50 48 64 -0.51972108941995
+8 0 1 0 0 52 48 64 -0.685986528789096
+8 0 1 0 0 54 48 64 -0.821412360335007
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -0.999370763983347
+8 0 0 0 0 4 48 64 -0.903656530021145
+8 0 0 0 0 8 48 64 -0.651691872556433
+8 0 0 0 0 12 48 64 -0.287043769891917
+8 0 0 0 0 16 48 64 0.127236808297695
+8 0 0 0 0 20 48 64 0.519716883124807
+8 0 0 0 0 24 48 64 0.824125056207524
+8 0 0 0 0 28 48 64 0.98360771932866
+8 0 0 0 0 32 48 64 0.971632325042105
+8 0 0 0 0 36 48 64 0.791792419977948
+8 0 0 0 0 40 48 64 0.474849558026178
+8 0 0 0 0 44 48 64 0.0768056742352505
+8 0 0 0 0 48 48 64 -0.334070343302036
+8 0 0 0 0 52 48 64 -0.685986528789096
+8 0 0 0 0 56 48 64 -0.92228471385446
+8 0 0 0 0 60 48 64 -0.999370763983347
+8 0 0 0 0 64 48 64 -0.903656530021145
+8 0 0 0 0 68 48 64 -0.651691872556433
+8 0 0 0 0 72 48 64 -0.287043769891917
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0.979193786135025
+9 0 2 0 0 28 48 64 0.995042708649766
+9 0 2 0 0 29 48 64 0.999646716583121
+9 0 2 0 0 30 48 64 0.993534873990329
+9 0 2 0 0 31 48 64 0.97644808704334
+9 0 2 0 0 32 48 64 0.948901294528041
+9 0 2 0 0 33 48 64 0.910977072376977
+9 0 2 0 0 34 48 64 0.862954836292872
+9 0 2 0 0 35 48 64 0.805408953997252
+9 0 2 0 0 36 48 64 0.739020382707772
+9 0 2 0 0 37 48 64 0.664531321594399
+9 0 2 0 0 38 48 64 0.582758356062588
+9 0 2 0 0 39 48 64 0.494606185656091
+9 0 2 0 0 40 48 64 0.40111926324864
+9 0 2 0 0 41 48 64 0.303480933923406
+9 0 2 0 0 42 48 64 0.202668903624689
+9 0 2 0 0 43 48 64 0.0994469462192281
+9 0 2 0 0 44 48 64 -0.00482590910436991
+9 0 2 0 0 45 48 64 -0.109167962441586
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0.992552279194022
+10 0 2 0 0 28 48 64 0.999863399000796
+10 0 2 0 0 29 48 64 0.995823711948245
+10 0 2 0 0 30 48 64 0.981183891783962
+10 0 2 0 0 31 48 64 0.955617821420678
+10 0 2 0 0 32 48 64 0.919781373917827
+10 0 2 0 0 33 48 64 0.874001214409394
+10 0 2 0 0 34 48 64 0.818566065259317
+10 0 2 0 0 35 48 64 0.754066004082229
+10 0 2 0 0 36 48 64 0.681265565917221
+10 0 2 0 0 37 48 64 0.600991031066384
+10 0 2 0 0 38 48 64 0.514130025048043
+10 0 2 0 0 39 48 64 0.421669056102273
+10 0 2 0 0 40 48 64 0.324744852153069
+10 0 2 0 0 41 48 64 0.224507361215936
+10 0 2 0 0 42 48 64 0.121796639452627
+10 0 2 0 0 43 48 64 0.0176017937814668
+10 0 2 0 0 44 48 64 -0.0869519049447128
+10 0 2 0 0 45 48 64 -0.19039959937428
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0.476560015323291
+10 0 1 0 0 20 48 64 0.649359058828879
+10 0 1 0 0 22 48 64 0.793229981225015
+10 0 1 0 0 24 48 64 0.904339794078413
+10 0 1 0 0 26 48 64 0.974180733682972
+10 0 1 0 0 28 48 64 0.999863399000796
+10 0 1 0 0 30 48 64 0.981183891783962
+10 0 1 0 0 32 48 64 0.919781373917827
+10 0 1 0 0 34 48 64 0.818566065259317
+10 0 1 0 0 36 48 64 0.681265565917221
+10 0 1 0 0 38 48 64 0.514130025048043
+10 0 1 0 0 40 48 64 0.324744852153069
+10 0 1 0 0 42 48 64 0.121796639452627
+10 0 1 0 0 44 48 64 -0.0869519049447128
+10 0 1 0 0 46 48 64 -0.291557660995467
+10 0 1 0 0 48 48 64 -0.482251604046507
+10 0 1 0 0 50 48 64 -0.650668781260776
+10 0 1 0 0 52 48 64 -0.793484089798218
+10 0 1 0 0 54 48 64 -0.901701472513397
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 0.999074400299384
+11 0 2 0 0 28 48 64 0.997893160879035
+11 0 2 0 0 29 48 64 0.985295302959193
+11 0 2 0 0 30 48 64 0.962206552448078
+11 0 2 0 0 31 48 64 0.928386799635533
+11 0 2 0 0 32 48 64 0.884493675503527
+11 0 2 0 0 33 48 64 0.831115019978504
+11 0 2 0 0 34 48 64 0.768633874381149
+11 0 2 0 0 35 48 64 0.69762818353876
+11 0 2 0 0 36 48 64 0.61891408104634
+11 0 2 0 0 37 48 64 0.533397675008165
+11 0 2 0 0 38 48 64 0.442043809441812
+11 0 2 0 0 39 48 64 0.345928148571288
+11 0 2 0 0 40 48 64 0.246237392608253
+11 0 2 0 0 41 48 64 0.144012522997208
+11 0 2 0 0 42 48 64 0.0400724917073192
+11 0 2 0 0 43 48 64 -0.0643344382812508
+11 0 2 0 0 44 48 64 -0.167901737625223
+11 0 2 0 0 45 48 64 -0.269711085151219
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 0.998878857105284
+12 0 2 0 0 28 48 64 0.989190870785389
+12 0 2 0 0 29 48 64 0.968132165377022
+12 0 2 0 0 30 48 64 0.936728881327781
+12 0 2 0 0 31 48 64 0.89491244310989
+12 0 2 0 0 32 48 64 0.843288044181996
+12 0 2 0 0 33 48 64 0.782625242001555
+12 0 2 0 0 34 48 64 0.713491261069235
+12 0 2 0 0 35 48 64 0.636466579773951
+12 0 2 0 0 36 48 64 0.552380444627765
+12 0 2 0 0 37 48 64 0.462206430615055
+12 0 2 0 0 38 48 64 0.366995111080657
+12 0 2 0 0 39 48 64 0.267904212283759
+12 0 2 0 0 40 48 64 0.166102396171752
+12 0 2 0 0 41 48 64 0.0625109713152064
+12 0 2 0 0 42 48 64 -0.0419307424343205
+12 0 2 0 0 43 48 64 -0.145793959877201
+12 0 2 0 0 44 48 64 -0.248232265699419
+12 0 2 0 0 45 48 64 -0.347702865666374
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0.61404528223966
+12 0 1 0 0 20 48 64 0.765304337765862
+12 0 1 0 0 22 48 64 0.879839648220443
+12 0 1 0 0 24 48 64 0.96002181800939
+12 0 1 0 0 26 48 64 0.997353962029173
+12 0 1 0 0 28 48 64 0.989190870785389
+12 0 1 0 0 30 48 64 0.936728881327781
+12 0 1 0 0 32 48 64 0.843288044181996
+12 0 1 0 0 34 48 64 0.713491261069235
+12 0 1 0 0 36 48 64 0.552380444627765
+12 0 1 0 0 38 48 64 0.366995111080657
+12 0 1 0 0 40 48 64 0.166102396171752
+12 0 1 0 0 42 48 64 -0.0419307424343205
+12 0 1 0 0 44 48 64 -0.248232265699419
+12 0 1 0 0 46 48 64 -0.443132431286362
+12 0 1 0 0 48 48 64 -0.617343631767214
+12 0 1 0 0 50 48 64 -0.764597328488145
+12 0 1 0 0 52 48 64 -0.883066094845645
+12 0 1 0 0 54 48 64 -0.960700314888653
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -0.940774410308165
+12 0 0 0 0 4 48 64 -0.72113465964661
+12 0 0 0 0 8 48 64 -0.376806103116003
+12 0 0 0 0 12 48 64 0.0326776092339344
+12 0 0 0 0 16 48 64 0.436577128289227
+12 0 0 0 0 20 48 64 0.765304337765862
+12 0 0 0 0 24 48 64 0.96002181800939
+12 0 0 0 0 28 48 64 0.989190870785389
+12 0 0 0 0 32 48 64 0.843288044181996
+12 0 0 0 0 36 48 64 0.552380444627765
+12 0 0 0 0 40 48 64 0.166102396171752
+12 0 0 0 0 44 48 64 -0.248232265699419
+12 0 0 0 0 48 48 64 -0.617343631767214
+12 0 0 0 0 52 48 64 -0.883066094845645
+12 0 0 0 0 56 48 64 -0.997826410557083
+12 0 0 0 0 60 48 64 -0.940774410308165
+12 0 0 0 0 64 48 64 -0.72113465964661
+12 0 0 0 0 68 48 64 -0.376806103116003
+12 0 0 0 0 72 48 64 0.0326776092339344
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 0.991873684721253
+13 0 2 0 0 28 48 64 0.973824698445475
+13 0 2 0 0 29 48 64 0.94444088541478
+13 0 2 0 0 30 48 64 0.904928469996759
+13 0 2 0 0 31 48 64 0.855394895736349
+13 0 2 0 0 32 48 64 0.796434884029128
+13 0 2 0 0 33 48 64 0.728877714089911
+13 0 2 0 0 34 48 64 0.653513716683376
+13 0 2 0 0 35 48 64 0.570983842167167
+13 0 2 0 0 36 48 64 0.482105391735195
+13 0 2 0 0 37 48 64 0.387898405602799
+13 0 2 0 0 38 48 64 0.289500407015556
+13 0 2 0 0 39 48 64 0.188120037259265
+13 0 2 0 0 40 48 64 0.0848453870392432
+13 0 2 0 0 41 48 64 -0.0194528157717271
+13 0 2 0 0 42 48 64 -0.123628196083875
+13 0 2 0 0 43 48 64 -0.226239519123731
+13 0 2 0 0 44 48 64 -0.326307470780863
+13 0 2 0 0 45 48 64 -0.422741594647579
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 0.978078924513513
+14 0 2 0 0 28 48 64 0.95177192061742
+14 0 2 0 0 29 48 64 0.914364546525512
+14 0 2 0 0 30 48 64 0.867024117677339
+14 0 2 0 0 31 48 64 0.810086438979213
+14 0 2 0 0 32 48 64 0.744227255095358
+14 0 2 0 0 33 48 64 0.67024594401536
+14 0 2 0 0 34 48 64 0.589117364332443
+14 0 2 0 0 35 48 64 0.501616205806627
+14 0 2 0 0 36 48 64 0.4085558660625
+14 0 2 0 0 37 48 64 0.31097840096451
+14 0 2 0 0 38 48 64 0.210089148812988
+14 0 2 0 0 39 48 64 0.107095099147158
+14 0 2 0 0 40 48 64 0.00298466268985217
+14 0 2 0 0 41 48 64 -0.101307938672657
+14 0 2 0 0 42 48 64 -0.204457041599794
+14 0 2 0 0 43 48 64 -0.305123413287274
+14 0 2 0 0 44 48 64 -0.402672692331702
+14 0 2 0 0 45 48 64 -0.495395996911143
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0.73154770981981
+14 0 1 0 0 20 48 64 0.85773833350285
+14 0 1 0 0 22 48 64 0.943261243681345
+14 0 1 0 0 24 48 64 0.989885919910477
+14 0 1 0 0 26 48 64 0.993367944518562
+14 0 1 0 0 28 48 64 0.95177192061742
+14 0 1 0 0 30 48 64 0.867024117677339
+14 0 1 0 0 32 48 64 0.744227255095358
+14 0 1 0 0 34 48 64 0.589117364332443
+14 0 1 0 0 36 48 64 0.4085558660625
+14 0 1 0 0 38 48 64 0.210089148812988
+14 0 1 0 0 40 48 64 0.00298466268985217
+14 0 1 0 0 42 48 64 -0.204457041599794
+14 0 1 0 0 44 48 64 -0.402672692331702
+14 0 1 0 0 46 48 64 -0.582506852781685
+14 0 1 0 0 48 48 64 -0.736020942184922
+14 0 1 0 0 50 48 64 -0.858601156529732
+14 0 1 0 0 52 48 64 -0.947002082042648
+14 0 1 0 0 54 48 64 -0.992780921615429
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 0.957701549345753
+15 0 2 0 0 28 48 64 0.923364554068443
+15 0 2 0 0 29 48 64 0.878087141194972
+15 0 2 0 0 30 48 64 0.823268222423582
+15 0 2 0 0 31 48 64 0.759292528155473
+15 0 2 0 0 32 48 64 0.686991432878209
+15 0 2 0 0 33 48 64 0.607123486877713
+15 0 2 0 0 34 48 64 0.520753485049881
+15 0 2 0 0 35 48 64 0.428836270439177
+15 0 2 0 0 36 48 64 0.332227179911886
+15 0 2 0 0 37 48 64 0.2319717437225
+15 0 2 0 0 38 48 64 0.129295886841433
+15 0 2 0 0 39 48 64 0.0253490115826107
+15 0 2 0 0 40 48 64 -0.0789369604047067
+15 0 2 0 0 41 48 64 -0.18247196338991
+15 0 2 0 0 42 48 64 -0.283863344907464
+15 0 2 0 0 43 48 64 -0.381920943408766
+15 0 2 0 0 44 48 64 -0.475756551300138
+15 0 2 0 0 45 48 64 -0.564163559482233
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 0.930663721259043
+16 0 2 0 0 28 48 64 0.888491926542804
+16 0 2 0 0 29 48 64 0.835840314967478
+16 0 2 0 0 30 48 64 0.773944071628381
+16 0 2 0 0 31 48 64 0.70336484542598
+16 0 2 0 0 32 48 64 0.62509880660273
+16 0 2 0 0 33 48 64 0.539924178251556
+16 0 2 0 0 34 48 64 0.448900849773383
+16 0 2 0 0 35 48 64 0.353153822994637
+16 0 2 0 0 36 48 64 0.253645403899952
+16 0 2 0 0 37 48 64 0.151419805311027
+16 0 2 0 0 38 48 64 0.0476557086936857
+16 0 2 0 0 39 48 64 -0.0565886137090471
+16 0 2 0 0 40 48 64 -0.160350282113949
+16 0 2 0 0 41 48 64 -0.262367937654984
+16 0 2 0 0 42 48 64 -0.361316739858676
+16 0 2 0 0 43 48 64 -0.456097757881877
+16 0 2 0 0 44 48 64 -0.546082840703437
+16 0 2 0 0 45 48 64 -0.629564916228785
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0.832879295623077
+16 0 1 0 0 20 48 64 0.929932508184144
+16 0 1 0 0 22 48 64 0.981673216457101
+16 0 1 0 0 24 48 64 0.993400000092425
+16 0 1 0 0 26 48 64 0.962406339588736
+16 0 1 0 0 28 48 64 0.888491926542804
+16 0 1 0 0 30 48 64 0.773944071628381
+16 0 1 0 0 32 48 64 0.62509880660273
+16 0 1 0 0 34 48 64 0.448900849773383
+16 0 1 0 0 36 48 64 0.253645403899952
+16 0 1 0 0 38 48 64 0.0476557086936857
+16 0 1 0 0 40 48 64 -0.160350282113949
+16 0 1 0 0 42 48 64 -0.361316739858676
+16 0 1 0 0 44 48 64 -0.546082840703437
+16 0 1 0 0 46 48 64 -0.706088272000092
+16 0 1 0 0 48 48 64 -0.835407630918492
+16 0 1 0 0 50 48 64 -0.930094630608836
+16 0 1 0 0 52 48 64 -0.987868872018803
+16 0 1 0 0 54 48 64 -0.999947312583052
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -0.784584716986829
+16 0 0 0 0 4 48 64 -0.464166419246774
+16 0 0 0 0 8 48 64 -0.0635170530824461
+16 0 0 0 0 12 48 64 0.348137134076117
+16 0 0 0 0 16 48 64 0.699772874238256
+16 0 0 0 0 20 48 64 0.929932508184144
+16 0 0 0 0 24 48 64 0.993400000092425
+16 0 0 0 0 28 48 64 0.888491926542804
+16 0 0 0 0 32 48 64 0.62509880660273
+16 0 0 0 0 36 48 64 0.253645403899952
+16 0 0 0 0 40 48 64 -0.160350282113949
+16 0 0 0 0 44 48 64 -0.546082840703437
+16 0 0 0 0 48 48 64 -0.835407630918492
+16 0 0 0 0 52 48 64 -0.987868872018803
+16 0 0 0 0 56 48 64 -0.969650032141104
+16 0 0 0 0 60 48 64 -0.784584716986829
+16 0 0 0 0 64 48 64 -0.464166419246774
+16 0 0 0 0 68 48 64 -0.0635170530824461
+16 0 0 0 0 72 48 64 0.348137134076117
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 0.897490400240716
+17 0 2 0 0 28 48 64 0.847776053414967
+17 0 2 0 0 29 48 64 0.78789836808614
+17 0 2 0 0 30 48 64 0.719372854027512
+17 0 2 0 0 31 48 64 0.642690968253207
+17 0 2 0 0 32 48 64 0.558970825587117
+17 0 2 0 0 33 48 64 0.469089090152019
+17 0 2 0 0 34 48 64 0.374058646684581
+17 0 2 0 0 35 48 64 0.275111825307813
+17 0 2 0 0 36 48 64 0.173366417844112
+17 0 2 0 0 37 48 64 0.069874464735239
+17 0 2 0 0 38 48 64 -0.0342954947545035
+17 0 2 0 0 39 48 64 -0.138169450003258
+17 0 2 0 0 40 48 64 -0.240670914993676
+17 0 2 0 0 41 48 64 -0.340437991227791
+17 0 2 0 0 42 48 64 -0.436288763802307
+17 0 2 0 0 43 48 64 -0.527152070965641
+17 0 2 0 0 44 48 64 -0.612200766776253
+17 0 2 0 0 45 48 64 -0.690265639838449
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 0.857993292472277
+18 0 2 0 0 28 48 64 0.801009596226779
+18 0 2 0 0 29 48 64 0.73458596250486
+18 0 2 0 0 30 48 64 0.659912622546553
+18 0 2 0 0 31 48 64 0.577685714077486
+18 0 2 0 0 32 48 64 0.489072706504552
+18 0 2 0 0 33 48 64 0.395093912950465
+18 0 2 0 0 34 48 64 0.296742090126658
+18 0 2 0 0 35 48 64 0.195276251104896
+18 0 2 0 0 36 48 64 0.0919683218695474
+18 0 2 0 0 37 48 64 -0.0121076458742281
+18 0 2 0 0 38 48 64 -0.116017617981971
+18 0 2 0 0 39 48 64 -0.218827112647226
+18 0 2 0 0 40 48 64 -0.319319976531988
+18 0 2 0 0 41 48 64 -0.416148797423252
+18 0 2 0 0 42 48 64 -0.50827099995453
+18 0 2 0 0 43 48 64 -0.59458971273868
+18 0 2 0 0 44 48 64 -0.674593927440368
+18 0 2 0 0 45 48 64 -0.746734290838118
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0.9092628411105
+18 0 1 0 0 20 48 64 0.975241788669991
+18 0 1 0 0 22 48 64 0.99396866165001
+18 0 1 0 0 24 48 64 0.970578978269518
+18 0 1 0 0 26 48 64 0.905496865056442
+18 0 1 0 0 28 48 64 0.801009596226779
+18 0 1 0 0 30 48 64 0.659912622546553
+18 0 1 0 0 32 48 64 0.489072706504552
+18 0 1 0 0 34 48 64 0.296742090126658
+18 0 1 0 0 36 48 64 0.0919683218695474
+18 0 1 0 0 38 48 64 -0.116017617981971
+18 0 1 0 0 40 48 64 -0.319319976531988
+18 0 1 0 0 42 48 64 -0.50827099995453
+18 0 1 0 0 44 48 64 -0.674593927440368
+18 0 1 0 0 46 48 64 -0.810824550657915
+18 0 1 0 0 48 48 64 -0.912969356392402
+18 0 1 0 0 50 48 64 -0.977150243194488
+18 0 1 0 0 52 48 64 -1.00156919208435
+18 0 1 0 0 54 48 64 -0.980463867514354
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 0.812997345796033
+19 0 2 0 0 28 48 64 0.749106176501549
+19 0 2 0 0 29 48 64 0.676262672955586
+19 0 2 0 0 30 48 64 0.59596410877656
+19 0 2 0 0 31 48 64 0.50878598896356
+19 0 2 0 0 32 48 64 0.415898256314316
+19 0 2 0 0 33 48 64 0.31844940532946
+19 0 2 0 0 34 48 64 0.217480360838696
+19 0 2 0 0 35 48 64 0.114221171669025
+19 0 2 0 0 36 48 64 0.0100367264447928
+19 0 2 0 0 37 48 64 -0.0939702590152954
+19 0 2 0 0 38 48 64 -0.196963975471405
+19 0 2 0 0 39 48 64 -0.297990166626115
+19 0 2 0 0 40 48 64 -0.395744863424542
+19 0 2 0 0 41 48 64 -0.48899260068396
+19 0 2 0 0 42 48 64 -0.576766393378091
+19 0 2 0 0 43 48 64 -0.657964595821892
+19 0 2 0 0 44 48 64 -0.731998865863736
+19 0 2 0 0 45 48 64 -0.797830873334119
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 0.762208360019952
+20 0 2 0 0 28 48 64 0.691761253731506
+20 0 2 0 0 29 48 64 0.61333540262575
+20 0 2 0 0 30 48 64 0.527957576460225
+20 0 2 0 0 31 48 64 0.436448616167048
+20 0 2 0 0 32 48 64 0.339952850622841
+20 0 2 0 0 33 48 64 0.239691787881746
+20 0 2 0 0 34 48 64 0.136814316289521
+20 0 2 0 0 35 48 64 0.0325129575046948
+20 0 2 0 0 36 48 64 -0.071853424076298
+20 0 2 0 0 37 48 64 -0.175161627723026
+20 0 2 0 0 38 48 64 -0.276583723820921
+20 0 2 0 0 39 48 64 -0.375102195304858
+20 0 2 0 0 40 48 64 -0.469431544601951
+20 0 2 0 0 41 48 64 -0.558486224635112
+20 0 2 0 0 42 48 64 -0.641315045933219
+20 0 2 0 0 43 48 64 -0.716853430128072
+20 0 2 0 0 44 48 64 -0.784836734323706
+20 0 2 0 0 45 48 64 -0.843958578147835
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0.963646032991628
+20 0 1 0 0 20 48 64 0.995881199340309
+20 0 1 0 0 22 48 64 0.979661084597304
+20 0 1 0 0 24 48 64 0.922048127664751
+20 0 1 0 0 26 48 64 0.82440850815341
+20 0 1 0 0 28 48 64 0.691761253731506
+20 0 1 0 0 30 48 64 0.527957576460225
+20 0 1 0 0 32 48 64 0.339952850622841
+20 0 1 0 0 34 48 64 0.136814316289521
+20 0 1 0 0 36 48 64 -0.071853424076298
+20 0 1 0 0 38 48 64 -0.276583723820921
+20 0 1 0 0 40 48 64 -0.469431544601951
+20 0 1 0 0 42 48 64 -0.641315045933219
+20 0 1 0 0 44 48 64 -0.784836734323706
+20 0 1 0 0 46 48 64 -0.894177191049029
+20 0 1 0 0 48 48 64 -0.966647007067205
+20 0 1 0 0 50 48 64 -0.998455887481116
+20 0 1 0 0 52 48 64 -0.989468799802535
+20 0 1 0 0 54 48 64 -0.935067141899654
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -0.547364104839505
+20 0 0 0 0 4 48 64 -0.15967424494447
+20 0 0 0 0 8 48 64 0.255512149724301
+20 0 0 0 0 12 48 64 0.626582122303908
+20 0 0 0 0 16 48 64 0.889359339594963
+20 0 0 0 0 20 48 64 0.995881199340309
+20 0 0 0 0 24 48 64 0.922048127664751
+20 0 0 0 0 28 48 64 0.691761253731506
+20 0 0 0 0 32 48 64 0.339952850622841
+20 0 0 0 0 36 48 64 -0.071853424076298
+20 0 0 0 0 40 48 64 -0.469431544601951
+20 0 0 0 0 44 48 64 -0.784836734323706
+20 0 0 0 0 48 48 64 -0.966647007067205
+20 0 0 0 0 52 48 64 -0.989468799802535
+20 0 0 0 0 56 48 64 -0.840971011307041
+20 0 0 0 0 60 48 64 -0.547364104839505
+20 0 0 0 0 64 48 64 -0.15967424494447
+20 0 0 0 0 68 48 64 0.255512149724301
+20 0 0 0 0 72 48 64 0.626582122303908
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 0.706704393756089
+21 0 2 0 0 28 48 64 0.630149056743255
+21 0 2 0 0 29 48 64 0.546235110345814
+21 0 2 0 0 30 48 64 0.456355542734821
+21 0 2 0 0 31 48 64 0.361148681065619
+21 0 2 0 0 32 48 64 0.261742133667701
+21 0 2 0 0 33 48 64 0.159366622333994
+21 0 2 0 0 34 48 64 0.0552913966677983
+21 0 2 0 0 35 48 64 -0.0493016552826591
+21 0 2 0 0 36 48 64 -0.153152925618827
+21 0 2 0 0 37 48 64 -0.255137866301718
+21 0 2 0 0 38 48 64 -0.354329337001602
+21 0 2 0 0 39 48 64 -0.449638360160341
+21 0 2 0 0 40 48 64 -0.539904463213027
+21 0 2 0 0 41 48 64 -0.62417230204038
+21 0 2 0 0 42 48 64 -0.701487849084749
+21 0 2 0 0 43 48 64 -0.770886755522364
+21 0 2 0 0 44 48 64 -0.832072074827846
+21 0 2 0 0 45 48 64 -0.884189971787902
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 0.646106167384931
+22 0 2 0 0 28 48 64 0.563878175927929
+22 0 2 0 0 29 48 64 0.475435678990291
+22 0 2 0 0 30 48 64 0.381636638175127
+22 0 2 0 0 31 48 64 0.283378617975921
+22 0 2 0 0 32 48 64 0.181770092671063
+22 0 2 0 0 33 48 64 0.0780141135750082
+22 0 2 0 0 34 48 64 -0.0265424455010879
+22 0 2 0 0 35 48 64 -0.130700073517041
+22 0 2 0 0 36 48 64 -0.233344079191598
+22 0 2 0 0 37 48 64 -0.333365530533828
+22 0 2 0 0 38 48 64 -0.429665565128612
+22 0 2 0 0 39 48 64 -0.521109650668445
+22 0 2 0 0 40 48 64 -0.606717279597814
+22 0 2 0 0 41 48 64 -0.68562099485081
+22 0 2 0 0 42 48 64 -0.756902212923918
+22 0 2 0 0 43 48 64 -0.819723360580123
+22 0 2 0 0 44 48 64 -0.874050040040301
+22 0 2 0 0 45 48 64 -0.918851305901333
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 0.990838150219953
+22 0 1 0 0 20 48 64 0.989259285486383
+22 0 1 0 0 22 48 64 0.939109447850015
+22 0 1 0 0 24 48 64 0.848994254844398
+22 0 1 0 0 26 48 64 0.72151363139753
+22 0 1 0 0 28 48 64 0.563878175927929
+22 0 1 0 0 30 48 64 0.381636638175127
+22 0 1 0 0 32 48 64 0.181770092671063
+22 0 1 0 0 34 48 64 -0.0265424455010879
+22 0 1 0 0 36 48 64 -0.233344079191598
+22 0 1 0 0 38 48 64 -0.429665565128612
+22 0 1 0 0 40 48 64 -0.606717279597814
+22 0 1 0 0 42 48 64 -0.756902212923918
+22 0 1 0 0 44 48 64 -0.874050040040301
+22 0 1 0 0 46 48 64 -0.954094079878095
+22 0 1 0 0 48 48 64 -0.99491990657367
+22 0 1 0 0 50 48 64 -0.993468872620321
+22 0 1 0 0 52 48 64 -0.951627737665703
+22 0 1 0 0 54 48 64 -0.866171095659424
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 0.58167877420412
+23 0 2 0 0 28 48 64 0.494322122620025
+23 0 2 0 0 29 48 64 0.40142445196989
+23 0 2 0 0 30 48 64 0.304307166902851
+23 0 2 0 0 31 48 64 0.203648051331952
+23 0 2 0 0 32 48 64 0.100545457344655
+23 0 2 0 0 33 48 64 -0.00383712954319517
+23 0 2 0 0 34 48 64 -0.108150960427207
+23 0 2 0 0 35 48 64 -0.211180060342457
+23 0 2 0 0 36 48 64 -0.311934715870623
+23 0 2 0 0 37 48 64 -0.40932311770709
+23 0 2 0 0 38 48 64 -0.502075346547635
+23 0 2 0 0 39 48 64 -0.589053932479555
+23 0 2 0 0 40 48 64 -0.669441168093738
+23 0 2 0 0 41 48 64 -0.742431981788587
+23 0 2 0 0 42 48 64 -0.807208294128394
+23 0 2 0 0 43 48 64 -0.863072316486031
+23 0 2 0 0 44 48 64 -0.909971915640424
+23 0 2 0 0 45 48 64 -0.947229922990576
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 0.512979854448103
+24 0 2 0 0 28 48 64 0.421023059708042
+24 0 2 0 0 29 48 64 0.324727200141969
+24 0 2 0 0 30 48 64 0.224889123352539
+24 0 2 0 0 31 48 64 0.122486372364445
+24 0 2 0 0 32 48 64 0.0185913864717878
+24 0 2 0 0 33 48 64 -0.0856661988932693
+24 0 2 0 0 34 48 64 -0.18901193010322
+24 0 2 0 0 35 48 64 -0.290249775635669
+24 0 2 0 0 36 48 64 -0.388443446739378
+24 0 2 0 0 37 48 64 -0.482501326613013
+24 0 2 0 0 38 48 64 -0.5710610038797
+24 0 2 0 0 39 48 64 -0.653021480265866
+24 0 2 0 0 40 48 64 -0.727657823209566
+24 0 2 0 0 41 48 64 -0.794234711319612
+24 0 2 0 0 42 48 64 -0.852096293640361
+24 0 2 0 0 43 48 64 -0.900670765663662
+24 0 2 0 0 44 48 64 -0.940103939735097
+24 0 2 0 0 45 48 64 -0.969577992907083
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 0.992539311106133
+24 0 1 0 0 20 48 64 0.956239865344452
+24 0 1 0 0 22 48 64 0.873395325472724
+24 0 1 0 0 24 48 64 0.753277114366569
+24 0 1 0 0 26 48 64 0.599651905651292
+24 0 1 0 0 28 48 64 0.421023059708042
+24 0 1 0 0 30 48 64 0.224889123352539
+24 0 1 0 0 32 48 64 0.0185913864717878
+24 0 1 0 0 34 48 64 -0.18901193010322
+24 0 1 0 0 36 48 64 -0.388443446739378
+24 0 1 0 0 38 48 64 -0.5710610038797
+24 0 1 0 0 40 48 64 -0.727657823209566
+24 0 1 0 0 42 48 64 -0.852096293640361
+24 0 1 0 0 44 48 64 -0.940103939735097
+24 0 1 0 0 46 48 64 -0.98902492897618
+24 0 1 0 0 48 48 64 -0.996955535156699
+24 0 1 0 0 50 48 64 -0.962355759177957
+24 0 1 0 0 52 48 64 -0.888025991509739
+24 0 1 0 0 54 48 64 -0.773081143863819
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -0.254048268143143
+24 0 0 0 0 4 48 64 0.160539449276979
+24 0 0 0 0 8 48 64 0.547116250516033
+24 0 0 0 0 12 48 64 0.839125829960312
+24 0 0 0 0 16 48 64 0.985320841908623
+24 0 0 0 0 20 48 64 0.956239865344452
+24 0 0 0 0 24 48 64 0.753277114366569
+24 0 0 0 0 28 48 64 0.421023059708042
+24 0 0 0 0 32 48 64 0.0185913864717878
+24 0 0 0 0 36 48 64 -0.388443446739378
+24 0 0 0 0 40 48 64 -0.727657823209566
+24 0 0 0 0 44 48 64 -0.940103939735097
+24 0 0 0 0 48 48 64 -0.996955535156699
+24 0 0 0 0 52 48 64 -0.888025991509739
+24 0 0 0 0 56 48 64 -0.625300502670238
+24 0 0 0 0 60 48 64 -0.254048268143143
+24 0 0 0 0 64 48 64 0.160539449276979
+24 0 0 0 0 68 48 64 0.547116250516033
+24 0 0 0 0 72 48 64 0.839125829960312
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/phi.yl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/phi.yl
new file mode 100644
index 000000000..4455f03a3
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/phi.yl
@@ -0,0 +1,1397 @@
+# SPACETIMETOY::phi y (phi)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0.800541240924359
+0 0 2 0 0 36 40 64 0.84125353283118
+0 0 2 0 0 36 41 64 0.877678989567255
+0 0 2 0 0 36 42 64 0.909631995354518
+0 0 2 0 0 36 43 64 0.936949724999761
+0 0 2 0 0 36 44 64 0.959492973614497
+0 0 2 0 0 36 45 64 0.977146865971159
+0 0 2 0 0 36 46 64 0.989821441880933
+0 0 2 0 0 36 47 64 0.997452114610254
+0 0 2 0 0 36 48 64 1
+0 0 2 0 0 36 49 64 0.997452114610254
+0 0 2 0 0 36 50 64 0.989821441880933
+0 0 2 0 0 36 51 64 0.977146865971159
+0 0 2 0 0 36 52 64 0.959492973614497
+0 0 2 0 0 36 53 64 0.936949724999761
+0 0 2 0 0 36 54 64 0.909631995354518
+0 0 2 0 0 36 55 64 0.877678989567255
+0 0 2 0 0 36 56 64 0.84125353283118
+0 0 2 0 0 36 57 64 0.800541240924359
+0 0 2 0 0 36 58 64 0.755749574354257
+0 0 2 0 0 36 59 64 0.707106781186546
+0 0 2 0 0 36 60 64 0.654860733945283
+0 0 2 0 0 36 61 64 0.599277666511345
+0 0 2 0 0 36 62 64 0.540640817455595
+0 0 2 0 0 36 63 64 0.479248986720054
+0 0 2 0 0 36 64 64 0.415415013001883
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 -4.82375099065957e-15
+0 0 1 0 0 36 28 64 0.142314838273281
+0 0 1 0 0 36 30 64 0.281732556841426
+0 0 1 0 0 36 32 64 0.415415013001883
+0 0 1 0 0 36 34 64 0.540640817455595
+0 0 1 0 0 36 36 64 0.654860733945283
+0 0 1 0 0 36 38 64 0.755749574354257
+0 0 1 0 0 36 40 64 0.84125353283118
+0 0 1 0 0 36 42 64 0.909631995354518
+0 0 1 0 0 36 44 64 0.959492973614497
+0 0 1 0 0 36 46 64 0.989821441880933
+0 0 1 0 0 36 48 64 1
+0 0 1 0 0 36 50 64 0.989821441880933
+0 0 1 0 0 36 52 64 0.959492973614497
+0 0 1 0 0 36 54 64 0.909631995354518
+0 0 1 0 0 36 56 64 0.84125353283118
+0 0 1 0 0 36 58 64 0.755749574354257
+0 0 1 0 0 36 60 64 0.654860733945283
+0 0 1 0 0 36 62 64 0.540640817455595
+0 0 1 0 0 36 64 64 0.415415013001883
+0 0 1 0 0 36 66 64 0.281732556841426
+0 0 1 0 0 36 68 64 0.142314838273281
+0 0 1 0 0 36 70 64 -5.0457955955846e-15
+0 0 1 0 0 36 72 64 -0.142314838273291
+0 0 1 0 0 36 74 64 -0.281732556841435
+0 0 1 0 0 36 76 64 -0.415415013001892
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -0.959492973614494
+0 0 0 0 0 36 4 64 -1
+0 0 0 0 0 36 8 64 -0.9594929736145
+0 0 0 0 0 36 12 64 -0.841253532831185
+0 0 0 0 0 36 16 64 -0.65486073394529
+0 0 0 0 0 36 20 64 -0.415415013001892
+0 0 0 0 0 36 24 64 -0.142314838273291
+0 0 0 0 0 36 28 64 0.142314838273281
+0 0 0 0 0 36 32 64 0.415415013001883
+0 0 0 0 0 36 36 64 0.654860733945283
+0 0 0 0 0 36 40 64 0.84125353283118
+0 0 0 0 0 36 44 64 0.959492973614497
+0 0 0 0 0 36 48 64 1
+0 0 0 0 0 36 52 64 0.959492973614497
+0 0 0 0 0 36 56 64 0.84125353283118
+0 0 0 0 0 36 60 64 0.654860733945283
+0 0 0 0 0 36 64 64 0.415415013001883
+0 0 0 0 0 36 68 64 0.142314838273281
+0 0 0 0 0 36 72 64 -0.142314838273291
+0 0 0 0 0 36 76 64 -0.415415013001892
+0 0 0 0 0 36 80 64 -0.65486073394529
+0 0 0 0 0 36 84 64 -0.841253532831186
+0 0 0 0 0 36 88 64 -0.9594929736145
+0 0 0 0 0 36 92 64 -1
+0 0 0 0 0 36 96 64 -0.959492973614494
+0 0 0 0 0 36 100 64 -0.841253532831175
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 0.846797526257991
+1 0 2 0 0 36 40 64 0.882590572726821
+1 0 2 0 0 36 41 64 0.913851765042306
+1 0 2 0 0 36 42 64 0.940652440598869
+1 0 2 0 0 36 43 64 0.962465634020283
+1 0 2 0 0 36 44 64 0.97937432318759
+1 0 2 0 0 36 45 64 0.991292345296612
+1 0 2 0 0 36 46 64 0.998158968838536
+1 0 2 0 0 36 47 64 0.999939203073764
+1 0 2 0 0 36 48 64 0.9966239763367
+1 0 2 0 0 36 49 64 0.988230182262877
+1 0 2 0 0 36 50 64 0.974800593702866
+1 0 2 0 0 36 51 64 0.956403644761631
+1 0 2 0 0 36 52 64 0.933133082074019
+1 0 2 0 0 36 53 64 0.905107487093397
+1 0 2 0 0 36 54 64 0.872469671827744
+1 0 2 0 0 36 55 64 0.835385951102397
+1 0 2 0 0 36 56 64 0.794045295057823
+1 0 2 0 0 36 57 64 0.7486583662011
+1 0 2 0 0 36 58 64 0.699456445918067
+1 0 2 0 0 36 59 64 0.646690255916396
+1 0 2 0 0 36 60 64 0.590628680605243
+1 0 2 0 0 36 61 64 0.531557396921932
+1 0 2 0 0 36 62 64 0.469704201732179
+1 0 2 0 0 36 63 64 0.405928259641402
+1 0 2 0 0 36 64 64 0.339702637327939
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 0.887611795001507
+2 0 2 0 0 36 40 64 0.918208788108246
+2 0 2 0 0 36 41 64 0.943862880312901
+2 0 2 0 0 36 42 64 0.965305561097834
+2 0 2 0 0 36 43 64 0.981493590421543
+2 0 2 0 0 36 44 64 0.992653808375702
+2 0 2 0 0 36 45 64 0.998755690058988
+2 0 2 0 0 36 46 64 0.999768141681018
+2 0 2 0 0 36 47 64 0.995686004020403
+2 0 2 0 0 36 48 64 0.98653007871495
+2 0 2 0 0 36 49 64 0.972347022261291
+2 0 2 0 0 36 50 64 0.953209108264066
+2 0 2 0 0 36 51 64 0.929213859146202
+2 0 2 0 0 36 52 64 0.900483549197001
+2 0 2 0 0 36 53 64 0.867164581490388
+2 0 2 0 0 36 54 64 0.829426741848405
+2 0 2 0 0 36 55 64 0.787462333651581
+2 0 2 0 0 36 56 64 0.741485197904984
+2 0 2 0 0 36 57 64 0.691729623553476
+2 0 2 0 0 36 58 64 0.638449153598954
+2 0 2 0 0 36 59 64 0.581915293103331
+2 0 2 0 0 36 60 64 0.522416125660973
+2 0 2 0 0 36 61 64 0.460249181457461
+2 0 2 0 0 36 62 64 0.395698658873519
+2 0 2 0 0 36 63 64 0.32946329148275
+2 0 2 0 0 36 64 64 0.261274435443531
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 0.160358235959828
+2 0 1 0 0 36 28 64 0.299171116764982
+2 0 1 0 0 36 30 64 0.434256893603913
+2 0 1 0 0 36 32 64 0.558363612908261
+2 0 1 0 0 36 34 64 0.670736191180352
+2 0 1 0 0 36 36 64 0.769454514843462
+2 0 1 0 0 36 38 64 0.852508963507945
+2 0 1 0 0 36 40 64 0.918208788108246
+2 0 1 0 0 36 42 64 0.965305561097834
+2 0 1 0 0 36 44 64 0.992653808375702
+2 0 1 0 0 36 46 64 0.999768141681018
+2 0 1 0 0 36 48 64 0.98653007871495
+2 0 1 0 0 36 50 64 0.953209108264066
+2 0 1 0 0 36 52 64 0.900483549197001
+2 0 1 0 0 36 54 64 0.829426741848405
+2 0 1 0 0 36 56 64 0.741485197904984
+2 0 1 0 0 36 58 64 0.638449153598954
+2 0 1 0 0 36 60 64 0.522416125660973
+2 0 1 0 0 36 62 64 0.395698658873519
+2 0 1 0 0 36 64 64 0.261274435443531
+2 0 1 0 0 36 66 64 0.121250404097494
+2 0 1 0 0 36 68 64 -0.021241935818676
+2 0 1 0 0 36 70 64 -0.163301851178262
+2 0 1 0 0 36 72 64 -0.301557409607049
+2 0 1 0 0 36 74 64 -0.43180200998274
+2 0 1 0 0 36 76 64 -0.555775071251447
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0.922235333949728
+3 0 2 0 0 36 40 64 0.947466245808273
+3 0 2 0 0 36 41 64 0.967571363158671
+3 0 2 0 0 36 42 64 0.983397291342098
+3 0 2 0 0 36 43 64 0.993896721825893
+3 0 2 0 0 36 44 64 0.999241802099339
+3 0 2 0 0 36 45 64 0.999486668352697
+3 0 2 0 0 36 46 64 0.994638190064045
+3 0 2 0 0 36 47 64 0.984721263550297
+3 0 2 0 0 36 48 64 0.969786423195805
+3 0 2 0 0 36 49 64 0.949909773523642
+3 0 2 0 0 36 50 64 0.925192601384402
+3 0 2 0 0 36 51 64 0.895760859821625
+3 0 2 0 0 36 52 64 0.861764526243955
+3 0 2 0 0 36 53 64 0.823376838174648
+3 0 2 0 0 36 54 64 0.780793410472859
+3 0 2 0 0 36 55 64 0.734231238525162
+3 0 2 0 0 36 56 64 0.683927592486798
+3 0 2 0 0 36 57 64 0.63013880820735
+3 0 2 0 0 36 58 64 0.573138981002015
+3 0 2 0 0 36 59 64 0.513218497423866
+3 0 2 0 0 36 60 64 0.450681090170639
+3 0 2 0 0 36 61 64 0.385847461460282
+3 0 2 0 0 36 62 64 0.319126604171739
+3 0 2 0 0 36 63 64 0.251161883543706
+3 0 2 0 0 36 64 64 0.181584794351909
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0.950926246860579
+4 0 2 0 0 36 40 64 0.970576923549295
+4 0 2 0 0 36 41 64 0.984844251823846
+4 0 2 0 0 36 42 64 0.994817972254496
+4 0 2 0 0 36 43 64 0.999574813199763
+4 0 2 0 0 36 44 64 0.999091441537886
+4 0 2 0 0 36 45 64 0.993480356374574
+4 0 2 0 0 36 46 64 0.982803769973363
+4 0 2 0 0 36 47 64 0.967118967715865
+4 0 2 0 0 36 48 64 0.946505948882387
+4 0 2 0 0 36 49 64 0.921069752691978
+4 0 2 0 0 36 50 64 0.890939996169927
+4 0 2 0 0 36 51 64 0.856270213649111
+4 0 2 0 0 36 52 64 0.817237074394232
+4 0 2 0 0 36 53 64 0.774039482335736
+4 0 2 0 0 36 54 64 0.72689756250098
+4 0 2 0 0 36 55 64 0.676051539307547
+4 0 2 0 0 36 56 64 0.62176051243468
+4 0 2 0 0 36 57 64 0.564301136510705
+4 0 2 0 0 36 58 64 0.503966187938071
+4 0 2 0 0 36 59 64 0.441062519634155
+4 0 2 0 0 36 60 64 0.37590895169421
+4 0 2 0 0 36 61 64 0.308877725500066
+4 0 2 0 0 36 62 64 0.240484486256209
+4 0 2 0 0 36 63 64 0.170876715882397
+4 0 2 0 0 36 64 64 0.100148918385325
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0.319996970631104
+4 0 1 0 0 36 28 64 0.451510694721464
+4 0 1 0 0 36 30 64 0.574509151387857
+4 0 1 0 0 36 32 64 0.686266945229209
+4 0 1 0 0 36 34 64 0.7828582519911
+4 0 1 0 0 36 36 64 0.863435932650009
+4 0 1 0 0 36 38 64 0.926436547663781
+4 0 1 0 0 36 40 64 0.970576923549295
+4 0 1 0 0 36 42 64 0.994817972254496
+4 0 1 0 0 36 44 64 0.999091441537886
+4 0 1 0 0 36 46 64 0.982803769973363
+4 0 1 0 0 36 48 64 0.946505948882387
+4 0 1 0 0 36 50 64 0.890939996169927
+4 0 1 0 0 36 52 64 0.817237074394232
+4 0 1 0 0 36 54 64 0.72689756250098
+4 0 1 0 0 36 56 64 0.62176051243468
+4 0 1 0 0 36 58 64 0.503966187938071
+4 0 1 0 0 36 60 64 0.37590895169421
+4 0 1 0 0 36 62 64 0.240484486256209
+4 0 1 0 0 36 64 64 0.100148918385325
+4 0 1 0 0 36 66 64 -0.0424476581952741
+4 0 1 0 0 36 68 64 -0.184200765500904
+4 0 1 0 0 36 70 64 -0.322113725667527
+4 0 1 0 0 36 72 64 -0.452112620526372
+4 0 1 0 0 36 74 64 -0.57369452914691
+4 0 1 0 0 36 76 64 -0.684375520351128
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 -0.998467688471524
+4 0 0 0 0 36 4 64 -0.946645972224922
+4 0 0 0 0 36 8 64 -0.818132629229041
+4 0 0 0 0 36 12 64 -0.623339046235111
+4 0 0 0 0 36 16 64 -0.378046240855262
+4 0 0 0 0 36 20 64 -0.102126377368883
+4 0 0 0 0 36 24 64 0.182067157842969
+4 0 0 0 0 36 28 64 0.451510694721464
+4 0 0 0 0 36 32 64 0.686266945229209
+4 0 0 0 0 36 36 64 0.863435932650009
+4 0 0 0 0 36 40 64 0.970576923549295
+4 0 0 0 0 36 44 64 0.999091441537886
+4 0 0 0 0 36 48 64 0.946505948882387
+4 0 0 0 0 36 52 64 0.817237074394232
+4 0 0 0 0 36 56 64 0.62176051243468
+4 0 0 0 0 36 60 64 0.37590895169421
+4 0 0 0 0 36 64 64 0.100148918385325
+4 0 0 0 0 36 68 64 -0.184200765500904
+4 0 0 0 0 36 72 64 -0.452112620526372
+4 0 0 0 0 36 76 64 -0.684375520351128
+4 0 0 0 0 36 80 64 -0.861796311459873
+4 0 0 0 0 36 84 64 -0.969399490714149
+4 0 0 0 0 36 88 64 -0.998467688471524
+4 0 0 0 0 36 92 64 -0.946645972224922
+4 0 0 0 0 36 96 64 -0.818132629229041
+4 0 0 0 0 36 100 64 -0.623339046235111
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0.973036316947
+5 0 2 0 0 36 40 64 0.986998055778868
+5 0 2 0 0 36 41 64 0.995562042260891
+5 0 2 0 0 36 42 64 0.999532579812139
+5 0 2 0 0 36 43 64 0.998476751169784
+5 0 2 0 0 36 44 64 0.992196166740822
+5 0 2 0 0 36 45 64 0.980776469304741
+5 0 2 0 0 36 46 64 0.964344700973653
+5 0 2 0 0 36 47 64 0.942997843106428
+5 0 2 0 0 36 48 64 0.916845656124769
+5 0 2 0 0 36 49 64 0.886021433654185
+5 0 2 0 0 36 50 64 0.850682249051981
+5 0 2 0 0 36 51 64 0.811008182702425
+5 0 2 0 0 36 52 64 0.767201404553525
+5 0 2 0 0 36 53 64 0.719485143905314
+5 0 2 0 0 36 54 64 0.668102551884512
+5 0 2 0 0 36 55 64 0.613315462402112
+5 0 2 0 0 36 56 64 0.555403057837967
+5 0 2 0 0 36 57 64 0.494660438402136
+5 0 2 0 0 36 58 64 0.431396937806855
+5 0 2 0 0 36 59 64 0.365933803812044
+5 0 2 0 0 36 60 64 0.298614175244358
+5 0 2 0 0 36 61 64 0.229887835903242
+5 0 2 0 0 36 62 64 0.16026095913038
+5 0 2 0 0 36 63 64 0.0898544504881383
+5 0 2 0 0 36 64 64 0.0185910727200305
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0.988773838369611
+6 0 2 0 0 36 40 64 0.996910564347806
+6 0 2 0 0 36 41 64 0.999612647415686
+6 0 2 0 0 36 42 64 0.99756120884118
+6 0 2 0 0 36 43 64 0.99061565758154
+6 0 2 0 0 36 44 64 0.978590962812878
+6 0 2 0 0 36 45 64 0.961457553418652
+6 0 2 0 0 36 46 64 0.939385191497532
+6 0 2 0 0 36 47 64 0.91252054561062
+6 0 2 0 0 36 48 64 0.881005547445827
+6 0 2 0 0 36 49 64 0.845001136003124
+6 0 2 0 0 36 50 64 0.80469079234639
+6 0 2 0 0 36 51 64 0.760279928862359
+6 0 2 0 0 36 52 64 0.711994853133707
+6 0 2 0 0 36 53 64 0.660081614836223
+6 0 2 0 0 36 54 64 0.604804751934828
+6 0 2 0 0 36 55 64 0.546445942609897
+6 0 2 0 0 36 56 64 0.485302567021392
+6 0 2 0 0 36 57 64 0.421686129554086
+6 0 2 0 0 36 58 64 0.355920290113171
+6 0 2 0 0 36 59 64 0.288341966162565
+6 0 2 0 0 36 60 64 0.219337364111679
+6 0 2 0 0 36 61 64 0.149416641126504
+6 0 2 0 0 36 62 64 0.0789717455738245
+6 0 2 0 0 36 63 64 0.00785468524848921
+6 0 2 0 0 36 64 64 -0.0636301643693916
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0.46712464376401
+6 0 1 0 0 36 28 64 0.588252635053179
+6 0 1 0 0 36 30 64 0.698937544931363
+6 0 1 0 0 36 32 64 0.795494695354508
+6 0 1 0 0 36 34 64 0.8739840235565
+6 0 1 0 0 36 36 64 0.934293352856167
+6 0 1 0 0 36 38 64 0.975558791374603
+6 0 1 0 0 36 40 64 0.996910564347806
+6 0 1 0 0 36 42 64 0.99756120884118
+6 0 1 0 0 36 44 64 0.978590962812878
+6 0 1 0 0 36 46 64 0.939385191497532
+6 0 1 0 0 36 48 64 0.881005547445827
+6 0 1 0 0 36 50 64 0.80469079234639
+6 0 1 0 0 36 52 64 0.711994853133707
+6 0 1 0 0 36 54 64 0.604804751934828
+6 0 1 0 0 36 56 64 0.485302567021392
+6 0 1 0 0 36 58 64 0.355920290113171
+6 0 1 0 0 36 60 64 0.219337364111679
+6 0 1 0 0 36 62 64 0.0789717455738245
+6 0 1 0 0 36 64 64 -0.0636301643693916
+6 0 1 0 0 36 66 64 -0.204987822138464
+6 0 1 0 0 36 68 64 -0.342170892052359
+6 0 1 0 0 36 70 64 -0.47196734770966
+6 0 1 0 0 36 72 64 -0.590172238334964
+6 0 1 0 0 36 74 64 -0.69693051796843
+6 0 1 0 0 36 76 64 -0.791884380034566
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 0.997743480890562
+7 0 2 0 0 36 40 64 1.00003338662337
+7 0 2 0 0 36 41 64 0.996930906334672
+7 0 2 0 0 36 42 64 0.988941049922222
+7 0 2 0 0 36 43 64 0.976073190752286
+7 0 2 0 0 36 44 64 0.958359300213255
+7 0 2 0 0 36 45 64 0.935647282989193
+7 0 2 0 0 36 46 64 0.908092298925653
+7 0 2 0 0 36 47 64 0.875892475769202
+7 0 2 0 0 36 48 64 0.839227270185975
+7 0 2 0 0 36 49 64 0.798285426629327
+7 0 2 0 0 36 50 64 0.753275699387487
+7 0 2 0 0 36 51 64 0.704427451751246
+7 0 2 0 0 36 52 64 0.651989603326915
+7 0 2 0 0 36 53 64 0.596229365297259
+7 0 2 0 0 36 54 64 0.53743087910627
+7 0 2 0 0 36 55 64 0.475893767222427
+7 0 2 0 0 36 56 64 0.411931584522717
+7 0 2 0 0 36 57 64 0.345870048772889
+7 0 2 0 0 36 58 64 0.278045872607686
+7 0 2 0 0 36 59 64 0.20881946504514
+7 0 2 0 0 36 60 64 0.138633830837736
+7 0 2 0 0 36 61 64 0.0679963626571228
+7 0 2 0 0 36 62 64 -0.00286037569394571
+7 0 2 0 0 36 63 64 -0.0738235193587129
+7 0 2 0 0 36 64 64 -0.144858815039161
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 1.0000794802329
+8 0 2 0 0 36 40 64 0.99646021014981
+8 0 2 0 0 36 41 64 0.987511551564192
+8 0 2 0 0 36 42 64 0.973719275174138
+8 0 2 0 0 36 43 64 0.954985772268429
+8 0 2 0 0 36 44 64 0.931641796280466
+8 0 2 0 0 36 45 64 0.903511045036813
+8 0 2 0 0 36 46 64 0.870673743594519
+8 0 2 0 0 36 47 64 0.833360063198981
+8 0 2 0 0 36 48 64 0.791792419977948
+8 0 2 0 0 36 49 64 0.746189217002332
+8 0 2 0 0 36 50 64 0.696783558591335
+8 0 2 0 0 36 51 64 0.643827249043327
+8 0 2 0 0 36 52 64 0.587590143637084
+8 0 2 0 0 36 53 64 0.528358813293266
+8 0 2 0 0 36 54 64 0.466435087386533
+8 0 2 0 0 36 55 64 0.402134505872762
+8 0 2 0 0 36 56 64 0.335784641100743
+8 0 2 0 0 36 57 64 0.267723424853065
+8 0 2 0 0 36 58 64 0.198302400438658
+8 0 2 0 0 36 59 64 0.127918039911044
+8 0 2 0 0 36 60 64 0.0570585438097611
+8 0 2 0 0 36 61 64 -0.0138558315428677
+8 0 2 0 0 36 62 64 -0.084683139390501
+8 0 2 0 0 36 63 64 -0.155406651309177
+8 0 2 0 0 36 64 64 -0.22564687190387
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0.605908203551579
+8 0 1 0 0 36 28 64 0.713090583456644
+8 0 1 0 0 36 30 64 0.804470099155993
+8 0 1 0 0 36 32 64 0.883013316474311
+8 0 1 0 0 36 34 64 0.941594450326003
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+8 0 1 0 0 36 38 64 0.998549905857075
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+8 0 1 0 0 36 42 64 0.973719275174138
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+8 0 1 0 0 36 46 64 0.870673743594519
+8 0 1 0 0 36 48 64 0.791792419977948
+8 0 1 0 0 36 50 64 0.696783558591335
+8 0 1 0 0 36 52 64 0.587590143637084
+8 0 1 0 0 36 54 64 0.466435087386533
+8 0 1 0 0 36 56 64 0.335784641100743
+8 0 1 0 0 36 58 64 0.198302400438658
+8 0 1 0 0 36 60 64 0.0570585438097611
+8 0 1 0 0 36 62 64 -0.084683139390501
+8 0 1 0 0 36 64 64 -0.22564687190387
+8 0 1 0 0 36 66 64 -0.362012065455502
+8 0 1 0 0 36 68 64 -0.490836110717979
+8 0 1 0 0 36 70 64 -0.608749707072564
+8 0 1 0 0 36 72 64 -0.712277567458164
+8 0 1 0 0 36 74 64 -0.804578165002985
+8 0 1 0 0 36 76 64 -0.881412310390551
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 -0.933556336551482
+8 0 0 0 0 36 4 64 -0.795047905556765
+8 0 0 0 0 36 8 64 -0.592129421585802
+8 0 0 0 0 36 12 64 -0.341240133407217
+8 0 0 0 0 36 16 64 -0.0627055990531928
+8 0 0 0 0 36 20 64 0.220908970011565
+8 0 0 0 0 36 24 64 0.486626808122216
+8 0 0 0 0 36 28 64 0.713090583456644
+8 0 0 0 0 36 32 64 0.883013316474311
+8 0 0 0 0 36 36 64 0.980126631656411
+8 0 0 0 0 36 40 64 0.99646021014981
+8 0 0 0 0 36 44 64 0.931641796280466
+8 0 0 0 0 36 48 64 0.791792419977948
+8 0 0 0 0 36 52 64 0.587590143637084
+8 0 0 0 0 36 56 64 0.335784641100743
+8 0 0 0 0 36 60 64 0.0570585438097611
+8 0 0 0 0 36 64 64 -0.22564687190387
+8 0 0 0 0 36 68 64 -0.490836110717979
+8 0 0 0 0 36 72 64 -0.712277567458164
+8 0 0 0 0 36 76 64 -0.881412310390551
+8 0 0 0 0 36 80 64 -0.978585710855949
+8 0 0 0 0 36 84 64 -0.996433585232114
+8 0 0 0 0 36 88 64 -0.933556336551482
+8 0 0 0 0 36 92 64 -0.795047905556765
+8 0 0 0 0 36 96 64 -0.592129421585802
+8 0 0 0 0 36 100 64 -0.341240133407217
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 0.995665869194696
+9 0 2 0 0 36 40 64 0.986205584979303
+9 0 2 0 0 36 41 64 0.971422359802937
+9 0 2 0 0 36 42 64 0.951962767831358
+9 0 2 0 0 36 43 64 0.927522434818139
+9 0 2 0 0 36 44 64 0.898638582238591
+9 0 2 0 0 36 45 64 0.865259569650087
+9 0 2 0 0 36 46 64 0.827375914638322
+9 0 2 0 0 36 47 64 0.785208368897454
+9 0 2 0 0 36 48 64 0.739020382707772
+9 0 2 0 0 36 49 64 0.689063493198643
+9 0 2 0 0 36 50 64 0.635595005942853
+9 0 2 0 0 36 51 64 0.578887654570021
+9 0 2 0 0 36 52 64 0.519230424439158
+9 0 2 0 0 36 53 64 0.456927314303139
+9 0 2 0 0 36 54 64 0.392295804612597
+9 0 2 0 0 36 55 64 0.325665206079754
+9 0 2 0 0 36 56 64 0.257374922939433
+9 0 2 0 0 36 57 64 0.187774280329911
+9 0 2 0 0 36 58 64 0.117235921126613
+9 0 2 0 0 36 59 64 0.0462000456501756
+9 0 2 0 0 36 60 64 -0.0248454088044195
+9 0 2 0 0 36 61 64 -0.0956134057684241
+9 0 2 0 0 36 62 64 -0.165947062811126
+9 0 2 0 0 36 63 64 -0.235540514846861
+9 0 2 0 0 36 64 64 -0.304369564710721
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 0.984544376527851
+10 0 2 0 0 36 40 64 0.969264661094455
+10 0 2 0 0 36 41 64 0.948790103201596
+10 0 2 0 0 36 42 64 0.923784656421087
+10 0 2 0 0 36 43 64 0.893869378140135
+10 0 2 0 0 36 44 64 0.859601089359734
+10 0 2 0 0 36 45 64 0.821153225968687
+10 0 2 0 0 36 46 64 0.778483212001597
+10 0 2 0 0 36 47 64 0.731758151262563
+10 0 2 0 0 36 48 64 0.681265565917221
+10 0 2 0 0 36 49 64 0.627292596932875
+10 0 2 0 0 36 50 64 0.57012186636228
+10 0 2 0 0 36 51 64 0.510045816204892
+10 0 2 0 0 36 52 64 0.44737068357396
+10 0 2 0 0 36 53 64 0.382415850661697
+10 0 2 0 0 36 54 64 0.315512299468319
+10 0 2 0 0 36 55 64 0.247000882873602
+10 0 2 0 0 36 56 64 0.177231028289813
+10 0 2 0 0 36 57 64 0.106565210075295
+10 0 2 0 0 36 58 64 0.0354058273245897
+10 0 2 0 0 36 59 64 -0.035773568101981
+10 0 2 0 0 36 60 64 -0.10654790360565
+10 0 2 0 0 36 61 64 -0.176744553188948
+10 0 2 0 0 36 62 64 -0.246092809881998
+10 0 2 0 0 36 63 64 -0.314528369406458
+10 0 2 0 0 36 64 64 -0.381568483543981
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0.724995660453545
+10 0 1 0 0 36 28 64 0.815792785848745
+10 0 1 0 0 36 30 64 0.888702255127921
+10 0 1 0 0 36 32 64 0.946474385469006
+10 0 1 0 0 36 34 64 0.98375800503702
+10 0 1 0 0 36 36 64 0.999675859300487
+10 0 1 0 0 36 38 64 0.994764703423863
+10 0 1 0 0 36 40 64 0.969264661094455
+10 0 1 0 0 36 42 64 0.923784656421087
+10 0 1 0 0 36 44 64 0.859601089359734
+10 0 1 0 0 36 46 64 0.778483212001597
+10 0 1 0 0 36 48 64 0.681265565917221
+10 0 1 0 0 36 50 64 0.57012186636228
+10 0 1 0 0 36 52 64 0.44737068357396
+10 0 1 0 0 36 54 64 0.315512299468319
+10 0 1 0 0 36 56 64 0.177231028289813
+10 0 1 0 0 36 58 64 0.0354058273245897
+10 0 1 0 0 36 60 64 -0.10654790360565
+10 0 1 0 0 36 62 64 -0.246092809881998
+10 0 1 0 0 36 64 64 -0.381568483543981
+10 0 1 0 0 36 66 64 -0.50927093198675
+10 0 1 0 0 36 68 64 -0.626092009452457
+10 0 1 0 0 36 70 64 -0.728817082817789
+10 0 1 0 0 36 72 64 -0.815499890592848
+10 0 1 0 0 36 74 64 -0.888274257618559
+10 0 1 0 0 36 76 64 -0.945265037439398
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 0.966882568314456
+11 0 2 0 0 36 40 64 0.945922340087861
+11 0 2 0 0 36 41 64 0.919784530871572
+11 0 2 0 0 36 42 64 0.889360960493234
+11 0 2 0 0 36 43 64 0.854230292054302
+11 0 2 0 0 36 44 64 0.814816369356244
+11 0 2 0 0 36 45 64 0.771502772180697
+11 0 2 0 0 36 46 64 0.724319164150618
+11 0 2 0 0 36 47 64 0.673363093255451
+11 0 2 0 0 36 48 64 0.61891408104634
+11 0 2 0 0 36 49 64 0.561291085045437
+11 0 2 0 0 36 50 64 0.500803981533916
+11 0 2 0 0 36 51 64 0.437764408503018
+11 0 2 0 0 36 52 64 0.372494045628672
+11 0 2 0 0 36 53 64 0.305325531560265
+11 0 2 0 0 36 54 64 0.236601106995406
+11 0 2 0 0 36 55 64 0.166671015097129
+11 0 2 0 0 36 56 64 0.0958940958881494
+11 0 2 0 0 36 57 64 0.0246508628666879
+11 0 2 0 0 36 58 64 -0.0466224321636027
+11 0 2 0 0 36 59 64 -0.117453282052392
+11 0 2 0 0 36 60 64 -0.187525234957373
+11 0 2 0 0 36 61 64 -0.256700465323874
+11 0 2 0 0 36 62 64 -0.324584987873624
+11 0 2 0 0 36 63 64 -0.390935642371254
+11 0 2 0 0 36 64 64 -0.455683013472954
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 0.942612318579626
+12 0 2 0 0 36 40 64 0.91608365476199
+12 0 2 0 0 36 41 64 0.884610345039184
+12 0 2 0 0 36 42 64 0.848929854151194
+12 0 2 0 0 36 43 64 0.808839499928953
+12 0 2 0 0 36 44 64 0.764592407190868
+12 0 2 0 0 36 45 64 0.716663704718933
+12 0 2 0 0 36 46 64 0.665248380256071
+12 0 2 0 0 36 47 64 0.610408315365267
+12 0 2 0 0 36 48 64 0.552380444627765
+12 0 2 0 0 36 49 64 0.491500478051025
+12 0 2 0 0 36 50 64 0.428106058622217
+12 0 2 0 0 36 51 64 0.362528434165463
+12 0 2 0 0 36 52 64 0.295103249357846
+12 0 2 0 0 36 53 64 0.226174255521333
+12 0 2 0 0 36 54 64 0.156092690992453
+12 0 2 0 0 36 55 64 0.0852165132582999
+12 0 2 0 0 36 56 64 0.0139154897873771
+12 0 2 0 0 36 57 64 -0.0574058075865816
+12 0 2 0 0 36 58 64 -0.128286674663397
+12 0 2 0 0 36 59 64 -0.198304784919414
+12 0 2 0 0 36 60 64 -0.267251638308029
+12 0 2 0 0 36 61 64 -0.334938794572148
+12 0 2 0 0 36 62 64 -0.400887458575651
+12 0 2 0 0 36 63 64 -0.465187124418243
+12 0 2 0 0 36 64 64 -0.52723335947454
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0.828256233686044
+12 0 1 0 0 36 28 64 0.899769826923855
+12 0 1 0 0 36 30 64 0.949529085326109
+12 0 1 0 0 36 32 64 0.984428092377787
+12 0 1 0 0 36 34 64 0.999248526999543
+12 0 1 0 0 36 36 64 0.992337554361518
+12 0 1 0 0 36 38 64 0.964272273462239
+12 0 1 0 0 36 40 64 0.91608365476199
+12 0 1 0 0 36 42 64 0.848929854151194
+12 0 1 0 0 36 44 64 0.764592407190868
+12 0 1 0 0 36 46 64 0.665248380256071
+12 0 1 0 0 36 48 64 0.552380444627765
+12 0 1 0 0 36 50 64 0.428106058622217
+12 0 1 0 0 36 52 64 0.295103249357846
+12 0 1 0 0 36 54 64 0.156092690992453
+12 0 1 0 0 36 56 64 0.0139154897873771
+12 0 1 0 0 36 58 64 -0.128286674663397
+12 0 1 0 0 36 60 64 -0.267251638308029
+12 0 1 0 0 36 62 64 -0.400887458575651
+12 0 1 0 0 36 64 64 -0.52723335947454
+12 0 1 0 0 36 66 64 -0.64273709122499
+12 0 1 0 0 36 68 64 -0.744226043785687
+12 0 1 0 0 36 70 64 -0.82920091344006
+12 0 1 0 0 36 72 64 -0.897192178036165
+12 0 1 0 0 36 74 64 -0.950807889410942
+12 0 1 0 0 36 76 64 -0.986007319174336
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 -0.771793469714844
+12 0 0 0 0 36 4 64 -0.561234706264647
+12 0 0 0 0 36 8 64 -0.305208044704207
+12 0 0 0 0 36 12 64 -0.0244552425039632
+12 0 0 0 0 36 16 64 0.258278778003027
+12 0 0 0 0 36 20 64 0.520090435053858
+12 0 0 0 0 36 24 64 0.739824456251154
+12 0 0 0 0 36 28 64 0.899769826923855
+12 0 0 0 0 36 32 64 0.984428092377787
+12 0 0 0 0 36 36 64 0.992337554361518
+12 0 0 0 0 36 40 64 0.91608365476199
+12 0 0 0 0 36 44 64 0.764592407190868
+12 0 0 0 0 36 48 64 0.552380444627765
+12 0 0 0 0 36 52 64 0.295103249357846
+12 0 0 0 0 36 56 64 0.0139154897873771
+12 0 0 0 0 36 60 64 -0.267251638308029
+12 0 0 0 0 36 64 64 -0.52723335947454
+12 0 0 0 0 36 68 64 -0.744226043785687
+12 0 0 0 0 36 72 64 -0.897192178036165
+12 0 0 0 0 36 76 64 -0.986007319174336
+12 0 0 0 0 36 80 64 -0.993335690354159
+12 0 0 0 0 36 84 64 -0.91982670409942
+12 0 0 0 0 36 88 64 -0.771793469714844
+12 0 0 0 0 36 92 64 -0.561234706264647
+12 0 0 0 0 36 96 64 -0.305208044704207
+12 0 0 0 0 36 100 64 -0.0244552425039632
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 0.912162365735959
+13 0 2 0 0 36 40 64 0.880274553981552
+13 0 2 0 0 36 41 64 0.84349947013466
+13 0 2 0 0 36 42 64 0.80278246114064
+13 0 2 0 0 36 43 64 0.757978258858953
+13 0 2 0 0 36 44 64 0.70925266843325
+13 0 2 0 0 36 45 64 0.657025241977604
+13 0 2 0 0 36 46 64 0.601677281616981
+13 0 2 0 0 36 47 64 0.543311072818046
+13 0 2 0 0 36 48 64 0.482105391735195
+13 0 2 0 0 36 49 64 0.418386528628964
+13 0 2 0 0 36 50 64 0.352515083159054
+13 0 2 0 0 36 51 64 0.284842664161679
+13 0 2 0 0 36 52 64 0.215718035937415
+13 0 2 0 0 36 53 64 0.145494056394604
+13 0 2 0 0 36 54 64 0.0745288926496235
+13 0 2 0 0 36 55 64 0.00318767520963189
+13 0 2 0 0 36 56 64 -0.0681451393375954
+13 0 2 0 0 36 57 64 -0.139038975862512
+13 0 2 0 0 36 58 64 -0.209036150680537
+13 0 2 0 0 36 59 64 -0.27780557105984
+13 0 2 0 0 36 60 64 -0.345196393136401
+13 0 2 0 0 36 61 64 -0.410919656145912
+13 0 2 0 0 36 62 64 -0.474495149083803
+13 0 2 0 0 36 63 64 -0.535824509431206
+13 0 2 0 0 36 64 64 -0.594748670924805
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 0.875374393877373
+14 0 2 0 0 36 40 64 0.838319721458311
+14 0 2 0 0 36 41 64 0.796723482039599
+14 0 2 0 0 36 42 64 0.751244397531625
+14 0 2 0 0 36 43 64 0.701984713620825
+14 0 2 0 0 36 44 64 0.649143063135881
+14 0 2 0 0 36 45 64 0.592999003326373
+14 0 2 0 0 36 46 64 0.534051585673905
+14 0 2 0 0 36 47 64 0.472523350064057
+14 0 2 0 0 36 48 64 0.4085558660625
+14 0 2 0 0 36 49 64 0.34243768112075
+14 0 2 0 0 36 50 64 0.274538706452031
+14 0 2 0 0 36 51 64 0.205230085917543
+14 0 2 0 0 36 52 64 0.134873541993749
+14 0 2 0 0 36 53 64 0.0638294653605462
+14 0 2 0 0 36 54 64 -0.00753849711231229
+14 0 2 0 0 36 55 64 -0.0788568165613214
+14 0 2 0 0 36 56 64 -0.149722143931037
+14 0 2 0 0 36 57 64 -0.219686563161125
+14 0 2 0 0 36 58 64 -0.288335390832891
+14 0 2 0 0 36 59 64 -0.355437986703199
+14 0 2 0 0 36 60 64 -0.420827222888202
+14 0 2 0 0 36 61 64 -0.48412895299763
+14 0 2 0 0 36 62 64 -0.544903172144861
+14 0 2 0 0 36 63 64 -0.60333496281091
+14 0 2 0 0 36 64 64 -0.65871923136506
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0.906794516193863
+14 0 1 0 0 36 28 64 0.957526067601302
+14 0 1 0 0 36 30 64 0.985404472164659
+14 0 1 0 0 36 32 64 0.9961414967781
+14 0 1 0 0 36 34 64 0.98766312729325
+14 0 1 0 0 36 36 64 0.958196352127942
+14 0 1 0 0 36 38 64 0.907853066564629
+14 0 1 0 0 36 40 64 0.838319721458311
+14 0 1 0 0 36 42 64 0.751244397531625
+14 0 1 0 0 36 44 64 0.649143063135881
+14 0 1 0 0 36 46 64 0.534051585673905
+14 0 1 0 0 36 48 64 0.4085558660625
+14 0 1 0 0 36 50 64 0.274538706452031
+14 0 1 0 0 36 52 64 0.134873541993749
+14 0 1 0 0 36 54 64 -0.00753849711231229
+14 0 1 0 0 36 56 64 -0.149722143931037
+14 0 1 0 0 36 58 64 -0.288335390832891
+14 0 1 0 0 36 60 64 -0.420827222888202
+14 0 1 0 0 36 62 64 -0.544903172144861
+14 0 1 0 0 36 64 64 -0.65871923136506
+14 0 1 0 0 36 66 64 -0.758741458423591
+14 0 1 0 0 36 68 64 -0.842097418399234
+14 0 1 0 0 36 70 64 -0.907477506141319
+14 0 1 0 0 36 72 64 -0.955266095802126
+14 0 1 0 0 36 74 64 -0.986658453059957
+14 0 1 0 0 36 76 64 -0.999613124066923
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 0.83292425582227
+15 0 2 0 0 36 40 64 0.790988156783174
+15 0 2 0 0 36 41 64 0.744588401472788
+15 0 2 0 0 36 42 64 0.694672747623793
+15 0 2 0 0 36 43 64 0.641252379870169
+15 0 2 0 0 36 44 64 0.584647088562976
+15 0 2 0 0 36 45 64 0.525013683171862
+15 0 2 0 0 36 46 64 0.462849970916261
+15 0 2 0 0 36 47 64 0.398534269329255
+15 0 2 0 0 36 48 64 0.332227179911886
+15 0 2 0 0 36 49 64 0.264164857476963
+15 0 2 0 0 36 50 64 0.194704369629822
+15 0 2 0 0 36 51 64 0.12423099876968
+15 0 2 0 0 36 52 64 0.0531193261919887
+15 0 2 0 0 36 53 64 -0.0182634742025063
+15 0 2 0 0 36 54 64 -0.0895484702922548
+15 0 2 0 0 36 55 64 -0.160350814308487
+15 0 2 0 0 36 56 64 -0.230247708973843
+15 0 2 0 0 36 57 64 -0.298796794186629
+15 0 2 0 0 36 58 64 -0.365662904488024
+15 0 2 0 0 36 59 64 -0.430684055844796
+15 0 2 0 0 36 60 64 -0.493619809976117
+15 0 2 0 0 36 61 64 -0.554065756272574
+15 0 2 0 0 36 62 64 -0.611641331944784
+15 0 2 0 0 36 63 64 -0.666302157872556
+15 0 2 0 0 36 64 64 -0.717799215466056
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 0.78457405490572
+16 0 2 0 0 36 40 64 0.738023526759172
+16 0 2 0 0 36 41 64 0.68744963951385
+16 0 2 0 0 36 42 64 0.633448873587085
+16 0 2 0 0 36 43 64 0.576219025487704
+16 0 2 0 0 36 44 64 0.516198914283919
+16 0 2 0 0 36 45 64 0.453518579205283
+16 0 2 0 0 36 46 64 0.388575463283641
+16 0 2 0 0 36 47 64 0.32186896963613
+16 0 2 0 0 36 48 64 0.253645403899952
+16 0 2 0 0 36 49 64 0.184101635180667
+16 0 2 0 0 36 50 64 0.113557985744637
+16 0 2 0 0 36 51 64 0.0424013846745474
+16 0 2 0 0 36 52 64 -0.0289823272200945
+16 0 2 0 0 36 53 64 -0.100218853670915
+16 0 2 0 0 36 54 64 -0.170932340297428
+16 0 2 0 0 36 55 64 -0.240723558761232
+16 0 2 0 0 36 56 64 -0.309158369992495
+16 0 2 0 0 36 57 64 -0.375833527429792
+16 0 2 0 0 36 58 64 -0.440507356486289
+16 0 2 0 0 36 59 64 -0.503027312520014
+16 0 2 0 0 36 60 64 -0.563068377288705
+16 0 2 0 0 36 61 64 -0.620259770683819
+16 0 2 0 0 36 62 64 -0.674246496000781
+16 0 2 0 0 36 63 64 -0.725241190394602
+16 0 2 0 0 36 64 64 -0.772437231670875
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0.963588587159951
+16 0 1 0 0 36 28 64 0.991560054241312
+16 0 1 0 0 36 30 64 0.995222754781915
+16 0 1 0 0 36 32 64 0.981572388902577
+16 0 1 0 0 36 34 64 0.949457561847311
+16 0 1 0 0 36 36 64 0.898078273314297
+16 0 1 0 0 36 38 64 0.826962629048266
+16 0 1 0 0 36 40 64 0.738023526759172
+16 0 1 0 0 36 42 64 0.633448873587085
+16 0 1 0 0 36 44 64 0.516198914283919
+16 0 1 0 0 36 46 64 0.388575463283641
+16 0 1 0 0 36 48 64 0.253645403899952
+16 0 1 0 0 36 50 64 0.113557985744637
+16 0 1 0 0 36 52 64 -0.0289823272200945
+16 0 1 0 0 36 54 64 -0.170932340297428
+16 0 1 0 0 36 56 64 -0.309158369992495
+16 0 1 0 0 36 58 64 -0.440507356486289
+16 0 1 0 0 36 60 64 -0.563068377288705
+16 0 1 0 0 36 62 64 -0.674246496000781
+16 0 1 0 0 36 64 64 -0.772437231670875
+16 0 1 0 0 36 66 64 -0.854120474678469
+16 0 1 0 0 36 68 64 -0.917236747468875
+16 0 1 0 0 36 70 64 -0.961788989752182
+16 0 1 0 0 36 72 64 -0.988148832491692
+16 0 1 0 0 36 74 64 -0.997888888046064
+16 0 1 0 0 36 76 64 -0.987424462626641
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 -0.530260739982713
+16 0 0 0 0 36 4 64 -0.269736091609724
+16 0 0 0 0 36 8 64 0.012640869014411
+16 0 0 0 0 36 12 64 0.29399374160914
+16 0 0 0 0 36 16 64 0.55152961705383
+16 0 0 0 0 36 20 64 0.764403387937011
+16 0 0 0 0 36 24 64 0.915467972956205
+16 0 0 0 0 36 28 64 0.991560054241312
+16 0 0 0 0 36 32 64 0.981572388902577
+16 0 0 0 0 36 36 64 0.898078273314297
+16 0 0 0 0 36 40 64 0.738023526759172
+16 0 0 0 0 36 44 64 0.516198914283919
+16 0 0 0 0 36 48 64 0.253645403899952
+16 0 0 0 0 36 52 64 -0.0289823272200945
+16 0 0 0 0 36 56 64 -0.309158369992495
+16 0 0 0 0 36 60 64 -0.563068377288705
+16 0 0 0 0 36 64 64 -0.772437231670875
+16 0 0 0 0 36 68 64 -0.917236747468875
+16 0 0 0 0 36 72 64 -0.988148832491692
+16 0 0 0 0 36 76 64 -0.987424462626641
+16 0 0 0 0 36 80 64 -0.904710319675603
+16 0 0 0 0 36 84 64 -0.74782536086728
+16 0 0 0 0 36 88 64 -0.530260739982713
+16 0 0 0 0 36 92 64 -0.269736091609724
+16 0 0 0 0 36 96 64 0.012640869014411
+16 0 0 0 0 36 100 64 0.29399374160914
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 0.731243192611612
+17 0 2 0 0 36 40 64 0.680432541129717
+17 0 2 0 0 36 41 64 0.62569285238658
+17 0 2 0 0 36 42 64 0.56798958160191
+17 0 2 0 0 36 43 64 0.50735132653968
+17 0 2 0 0 36 44 64 0.444284381711313
+17 0 2 0 0 36 45 64 0.378992118818779
+17 0 2 0 0 36 46 64 0.311747203649032
+17 0 2 0 0 36 47 64 0.243081188348594
+17 0 2 0 0 36 48 64 0.173366417844112
+17 0 2 0 0 36 49 64 0.102802848056526
+17 0 2 0 0 36 50 64 0.0316604433779674
+17 0 2 0 0 36 51 64 -0.0396913545112909
+17 0 2 0 0 36 52 64 -0.110860716149909
+17 0 2 0 0 36 53 64 -0.181465052397176
+17 0 2 0 0 36 54 64 -0.251118224224749
+17 0 2 0 0 36 55 64 -0.319406653478855
+17 0 2 0 0 36 56 64 -0.38590450581102
+17 0 2 0 0 36 57 64 -0.450280174494098
+17 0 2 0 0 36 58 64 -0.512366250573184
+17 0 2 0 0 36 59 64 -0.57196282139641
+17 0 2 0 0 36 60 64 -0.628695752421042
+17 0 2 0 0 36 61 64 -0.682257920782915
+17 0 2 0 0 36 62 64 -0.732298503686091
+17 0 2 0 0 36 63 64 -0.778808303022257
+17 0 2 0 0 36 64 64 -0.821456640348815
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 0.672607363846664
+18 0 2 0 0 36 40 64 0.617879629980339
+18 0 2 0 0 36 41 64 0.559746010564854
+18 0 2 0 0 36 42 64 0.498738095568695
+18 0 2 0 0 36 43 64 0.435132059653013
+18 0 2 0 0 36 44 64 0.369426595053174
+18 0 2 0 0 36 45 64 0.301946567794977
+18 0 2 0 0 36 46 64 0.232894271319524
+18 0 2 0 0 36 47 64 0.162739444886027
+18 0 2 0 0 36 48 64 0.0919683218695474
+18 0 2 0 0 36 49 64 0.0208395220357061
+18 0 2 0 0 36 50 64 -0.0504192508284869
+18 0 2 0 0 36 51 64 -0.121476468153587
+18 0 2 0 0 36 52 64 -0.191944833069157
+18 0 2 0 0 36 53 64 -0.261432643399074
+18 0 2 0 0 36 54 64 -0.329539969373889
+18 0 2 0 0 36 55 64 -0.395845885137765
+18 0 2 0 0 36 56 64 -0.4599615445859
+18 0 2 0 0 36 57 64 -0.521643178473008
+18 0 2 0 0 36 58 64 -0.580751178294171
+18 0 2 0 0 36 59 64 -0.637012387587428
+18 0 2 0 0 36 60 64 -0.690059617848135
+18 0 2 0 0 36 61 64 -0.739644573912654
+18 0 2 0 0 36 62 64 -0.785393881946058
+18 0 2 0 0 36 63 64 -0.827556407388751
+18 0 2 0 0 36 64 64 -0.86524965471011
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 0.993205267613566
+18 0 1 0 0 36 28 64 0.998169844938537
+18 0 1 0 0 36 30 64 0.978636645875194
+18 0 1 0 0 36 32 64 0.941186115029327
+18 0 1 0 0 36 34 64 0.885886883415215
+18 0 1 0 0 36 36 64 0.813592000083554
+18 0 1 0 0 36 38 64 0.72370382132644
+18 0 1 0 0 36 40 64 0.617879629980339
+18 0 1 0 0 36 42 64 0.498738095568695
+18 0 1 0 0 36 44 64 0.369426595053174
+18 0 1 0 0 36 46 64 0.232894271319524
+18 0 1 0 0 36 48 64 0.0919683218695474
+18 0 1 0 0 36 50 64 -0.0504192508284869
+18 0 1 0 0 36 52 64 -0.191944833069157
+18 0 1 0 0 36 54 64 -0.329539969373889
+18 0 1 0 0 36 56 64 -0.4599615445859
+18 0 1 0 0 36 58 64 -0.580751178294171
+18 0 1 0 0 36 60 64 -0.690059617848135
+18 0 1 0 0 36 62 64 -0.785393881946058
+18 0 1 0 0 36 64 64 -0.86524965471011
+18 0 1 0 0 36 66 64 -0.926344102189201
+18 0 1 0 0 36 68 64 -0.96786178126094
+18 0 1 0 0 36 70 64 -0.990775982046804
+18 0 1 0 0 36 72 64 -0.995000237318088
+18 0 1 0 0 36 74 64 -0.981956694062184
+18 0 1 0 0 36 76 64 -0.949511717983556
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 0.609813091923045
+19 0 2 0 0 36 40 64 0.551576008853643
+19 0 2 0 0 36 41 64 0.490050370619812
+19 0 2 0 0 36 42 64 0.426169268600324
+19 0 2 0 0 36 43 64 0.360052011434718
+19 0 2 0 0 36 44 64 0.292162443770903
+19 0 2 0 0 36 45 64 0.222921661367833
+19 0 2 0 0 36 46 64 0.152551059001967
+19 0 2 0 0 36 47 64 0.0814101542851278
+19 0 2 0 0 36 48 64 0.0100367264447928
+19 0 2 0 0 36 49 64 -0.0612106028267873
+19 0 2 0 0 36 50 64 -0.132113612323208
+19 0 2 0 0 36 51 64 -0.202390819589977
+19 0 2 0 0 36 52 64 -0.271674463226389
+19 0 2 0 0 36 53 64 -0.339565477001301
+19 0 2 0 0 36 54 64 -0.405649918474198
+19 0 2 0 0 36 55 64 -0.46951580703249
+19 0 2 0 0 36 56 64 -0.530840104230286
+19 0 2 0 0 36 57 64 -0.589456128886009
+19 0 2 0 0 36 58 64 -0.645199267519091
+19 0 2 0 0 36 59 64 -0.697738156417372
+19 0 2 0 0 36 60 64 -0.746756096494192
+19 0 2 0 0 36 61 64 -0.792031253592618
+19 0 2 0 0 36 62 64 -0.833180465577285
+19 0 2 0 0 36 63 64 -0.870246974631233
+19 0 2 0 0 36 64 64 -0.902859249887749
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 0.542456213017974
+20 0 2 0 0 36 40 64 0.481117939235428
+20 0 2 0 0 36 41 64 0.417078629983615
+20 0 2 0 0 36 42 64 0.35076822457008
+20 0 2 0 0 36 43 64 0.282607045720497
+20 0 2 0 0 36 44 64 0.213021471321287
+20 0 2 0 0 36 45 64 0.142467703635025
+20 0 2 0 0 36 46 64 0.0712526601555453
+20 0 2 0 0 36 47 64 -0.000356844460679575
+20 0 2 0 0 36 48 64 -0.071853424076298
+20 0 2 0 0 36 49 64 -0.14277534143685
+20 0 2 0 0 36 50 64 -0.212866457259407
+20 0 2 0 0 36 51 64 -0.281889407125756
+20 0 2 0 0 36 52 64 -0.349511109796617
+20 0 2 0 0 36 53 64 -0.415332179785296
+20 0 2 0 0 36 54 64 -0.478932263010075
+20 0 2 0 0 36 55 64 -0.53993235816897
+20 0 2 0 0 36 56 64 -0.598091705262906
+20 0 2 0 0 36 57 64 -0.653284125909271
+20 0 2 0 0 36 58 64 -0.705285355606393
+20 0 2 0 0 36 59 64 -0.753748812745929
+20 0 2 0 0 36 60 64 -0.798419430283369
+20 0 2 0 0 36 61 64 -0.83907543884528
+20 0 2 0 0 36 62 64 -0.875329060707481
+20 0 2 0 0 36 63 64 -0.90746351647222
+20 0 2 0 0 36 64 64 -0.934604434170735
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 0.99746761391774
+20 0 1 0 0 36 28 64 0.978589420328095
+20 0 1 0 0 36 30 64 0.93599066998087
+20 0 1 0 0 36 32 64 0.876014879003665
+20 0 1 0 0 36 34 64 0.798874694832337
+20 0 1 0 0 36 36 64 0.707121527097951
+20 0 1 0 0 36 38 64 0.60081332308525
+20 0 1 0 0 36 40 64 0.481117939235428
+20 0 1 0 0 36 42 64 0.35076822457008
+20 0 1 0 0 36 44 64 0.213021471321287
+20 0 1 0 0 36 46 64 0.0712526601555453
+20 0 1 0 0 36 48 64 -0.071853424076298
+20 0 1 0 0 36 50 64 -0.212866457259407
+20 0 1 0 0 36 52 64 -0.349511109796617
+20 0 1 0 0 36 54 64 -0.478932263010075
+20 0 1 0 0 36 56 64 -0.598091705262906
+20 0 1 0 0 36 58 64 -0.705285355606393
+20 0 1 0 0 36 60 64 -0.798419430283369
+20 0 1 0 0 36 62 64 -0.875329060707481
+20 0 1 0 0 36 64 64 -0.934604434170735
+20 0 1 0 0 36 66 64 -0.973598856527325
+20 0 1 0 0 36 68 64 -0.992842011969427
+20 0 1 0 0 36 70 64 -0.99368879342388
+20 0 1 0 0 36 72 64 -0.975640839443006
+20 0 1 0 0 36 74 64 -0.940675313483147
+20 0 1 0 0 36 76 64 -0.885851429094313
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 -0.234282539154941
+20 0 0 0 0 36 4 64 0.0489904906621724
+20 0 0 0 0 36 8 64 0.328295257788106
+20 0 0 0 0 36 12 64 0.581003698902071
+20 0 0 0 0 36 16 64 0.786648990866773
+20 0 0 0 0 36 20 64 0.928616184950096
+20 0 0 0 0 36 24 64 0.995244840699889
+20 0 0 0 0 36 28 64 0.978589420328095
+20 0 0 0 0 36 32 64 0.876014879003665
+20 0 0 0 0 36 36 64 0.707121527097951
+20 0 0 0 0 36 40 64 0.481117939235428
+20 0 0 0 0 36 44 64 0.213021471321287
+20 0 0 0 0 36 48 64 -0.071853424076298
+20 0 0 0 0 36 52 64 -0.349511109796617
+20 0 0 0 0 36 56 64 -0.598091705262906
+20 0 0 0 0 36 60 64 -0.798419430283369
+20 0 0 0 0 36 64 64 -0.934604434170735
+20 0 0 0 0 36 68 64 -0.992842011969427
+20 0 0 0 0 36 72 64 -0.975640839443006
+20 0 0 0 0 36 76 64 -0.885851429094313
+20 0 0 0 0 36 80 64 -0.72208206051545
+20 0 0 0 0 36 84 64 -0.49854454265531
+20 0 0 0 0 36 88 64 -0.234282539154941
+20 0 0 0 0 36 92 64 0.0489904906621724
+20 0 0 0 0 36 96 64 0.328295257788106
+20 0 0 0 0 36 100 64 0.581003698902071
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 0.471877889224191
+21 0 2 0 0 36 40 64 0.407876032248765
+21 0 2 0 0 36 41 64 0.341304911349354
+21 0 2 0 0 36 42 64 0.273035388877436
+21 0 2 0 0 36 43 64 0.203297583073205
+21 0 2 0 0 36 44 64 0.132516859831417
+21 0 2 0 0 36 45 64 0.0611268635983981
+21 0 2 0 0 36 46 64 -0.0104698854876954
+21 0 2 0 0 36 47 64 -0.0820352176359348
+21 0 2 0 0 36 48 64 -0.153152925618827
+21 0 2 0 0 36 49 64 -0.223299462018963
+21 0 2 0 0 36 50 64 -0.292139259590037
+21 0 2 0 0 36 51 64 -0.359451067443722
+21 0 2 0 0 36 52 64 -0.424944525761871
+21 0 2 0 0 36 53 64 -0.488234162776479
+21 0 2 0 0 36 54 64 -0.548912218293401
+21 0 2 0 0 36 55 64 -0.606658190937244
+21 0 2 0 0 36 56 64 -0.66130758377667
+21 0 2 0 0 36 57 64 -0.712726059529134
+21 0 2 0 0 36 58 64 -0.76062773020651
+21 0 2 0 0 36 59 64 -0.804695979908508
+21 0 2 0 0 36 60 64 -0.844719711914374
+21 0 2 0 0 36 61 64 -0.880465450235622
+21 0 2 0 0 36 62 64 -0.911565099751428
+21 0 2 0 0 36 63 64 -0.938123843309014
+21 0 2 0 0 36 64 64 -0.95979591330437
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 0.397611273572849
+22 0 2 0 0 36 40 64 0.331393417519297
+22 0 2 0 0 36 41 64 0.263232031463576
+22 0 2 0 0 36 42 64 0.193469766941767
+22 0 2 0 0 36 43 64 0.122630705195484
+22 0 2 0 0 36 44 64 0.051150594907927
+22 0 2 0 0 36 45 64 -0.0205764739360765
+22 0 2 0 0 36 46 64 -0.0920922967651112
+22 0 2 0 0 36 47 64 -0.163119095072929
+22 0 2 0 0 36 48 64 -0.233344079191598
+22 0 2 0 0 36 49 64 -0.30225128593255
+22 0 2 0 0 36 50 64 -0.369411744504661
+22 0 2 0 0 36 51 64 -0.434576537738738
+22 0 2 0 0 36 52 64 -0.497491971727998
+22 0 2 0 0 36 53 64 -0.557807157099257
+22 0 2 0 0 36 54 64 -0.615157161679143
+22 0 2 0 0 36 55 64 -0.669297734710038
+22 0 2 0 0 36 56 64 -0.720110420585016
+22 0 2 0 0 36 57 64 -0.767412181738916
+22 0 2 0 0 36 58 64 -0.810883713685272
+22 0 2 0 0 36 59 64 -0.850263953036135
+22 0 2 0 0 36 60 64 -0.885358036494132
+22 0 2 0 0 36 61 64 -0.915932225748516
+22 0 2 0 0 36 62 64 -0.941639429213577
+22 0 2 0 0 36 63 64 -0.962811271892968
+22 0 2 0 0 36 64 64 -0.97866345204022
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 0.975087936620188
+22 0 1 0 0 36 28 64 0.933431920578824
+22 0 1 0 0 36 30 64 0.868427344325909
+22 0 1 0 0 36 32 64 0.787656166903548
+22 0 1 0 0 36 34 64 0.690881347687652
+22 0 1 0 0 36 36 64 0.581743405536162
+22 0 1 0 0 36 38 64 0.46162760354394
+22 0 1 0 0 36 40 64 0.331393417519297
+22 0 1 0 0 36 42 64 0.193469766941767
+22 0 1 0 0 36 44 64 0.051150594907927
+22 0 1 0 0 36 46 64 -0.0920922967651112
+22 0 1 0 0 36 48 64 -0.233344079191598
+22 0 1 0 0 36 50 64 -0.369411744504661
+22 0 1 0 0 36 52 64 -0.497491971727998
+22 0 1 0 0 36 54 64 -0.615157161679143
+22 0 1 0 0 36 56 64 -0.720110420585016
+22 0 1 0 0 36 58 64 -0.810883713685272
+22 0 1 0 0 36 60 64 -0.885358036494132
+22 0 1 0 0 36 62 64 -0.941639429213577
+22 0 1 0 0 36 64 64 -0.97866345204022
+22 0 1 0 0 36 66 64 -0.99481565806949
+22 0 1 0 0 36 68 64 -0.99166672867453
+22 0 1 0 0 36 70 64 -0.97042257319769
+22 0 1 0 0 36 72 64 -0.930627826144405
+22 0 1 0 0 36 74 64 -0.874742785586124
+22 0 1 0 0 36 76 64 -0.800522562859695
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 0.321155993738982
+23 0 2 0 0 36 40 64 0.253158521223899
+23 0 2 0 0 36 41 64 0.183361751447909
+23 0 2 0 0 36 42 64 0.112586961628131
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+23 0 2 0 0 36 44 64 -0.0305722863178355
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+23 0 2 0 0 36 46 64 -0.173095062286822
+23 0 2 0 0 36 47 64 -0.24311156088989
+23 0 2 0 0 36 48 64 -0.311934715870623
+23 0 2 0 0 36 49 64 -0.379122497257474
+23 0 2 0 0 36 50 64 -0.44417739764969
+23 0 2 0 0 36 51 64 -0.506779913580897
+23 0 2 0 0 36 52 64 -0.566690781257849
+23 0 2 0 0 36 53 64 -0.62361610531043
+23 0 2 0 0 36 54 64 -0.677269125353645
+23 0 2 0 0 36 55 64 -0.727483519522248
+23 0 2 0 0 36 56 64 -0.77414185039917
+23 0 2 0 0 36 57 64 -0.816996846193687
+23 0 2 0 0 36 58 64 -0.855737847633303
+23 0 2 0 0 36 59 64 -0.890158614807994
+23 0 2 0 0 36 60 64 -0.920062518782074
+23 0 2 0 0 36 61 64 -0.945232308074462
+23 0 2 0 0 36 62 64 -0.965356510674698
+23 0 2 0 0 36 63 64 -0.980644361648022
+23 0 2 0 0 36 64 64 -0.990812434853701
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 0.241991723026261
+24 0 2 0 0 36 40 64 0.172675201303614
+24 0 2 0 0 36 41 64 0.10222675299587
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+24 0 2 0 0 36 44 64 -0.112129748452989
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+24 0 2 0 0 36 46 64 -0.252956843328598
+24 0 2 0 0 36 47 64 -0.321509929586794
+24 0 2 0 0 36 48 64 -0.388443446739378
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+24 0 2 0 0 36 50 64 -0.515937740357818
+24 0 2 0 0 36 51 64 -0.575578782992022
+24 0 2 0 0 36 52 64 -0.632088679414992
+24 0 2 0 0 36 53 64 -0.685246498435379
+24 0 2 0 0 36 54 64 -0.734872079984933
+24 0 2 0 0 36 55 64 -0.780859775345545
+24 0 2 0 0 36 56 64 -0.823051260397856
+24 0 2 0 0 36 57 64 -0.861150241584128
+24 0 2 0 0 36 58 64 -0.89489046485117
+24 0 2 0 0 36 59 64 -0.924102029221238
+24 0 2 0 0 36 60 64 -0.948586482034586
+24 0 2 0 0 36 61 64 -0.968160705579223
+24 0 2 0 0 36 62 64 -0.982549285098408
+24 0 2 0 0 36 63 64 -0.992178084119098
+24 0 2 0 0 36 64 64 -0.996374400253007
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 0.926443096740283
+24 0 1 0 0 36 28 64 0.862492965634444
+24 0 1 0 0 36 30 64 0.77778796935212
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+24 0 1 0 0 36 36 64 0.441069275856106
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+24 0 1 0 0 36 42 64 0.0309087248322511
+24 0 1 0 0 36 44 64 -0.112129748452989
+24 0 1 0 0 36 46 64 -0.252956843328598
+24 0 1 0 0 36 48 64 -0.388443446739378
+24 0 1 0 0 36 50 64 -0.515937740357818
+24 0 1 0 0 36 52 64 -0.632088679414992
+24 0 1 0 0 36 54 64 -0.734872079984933
+24 0 1 0 0 36 56 64 -0.823051260397856
+24 0 1 0 0 36 58 64 -0.89489046485117
+24 0 1 0 0 36 60 64 -0.948586482034586
+24 0 1 0 0 36 62 64 -0.982549285098408
+24 0 1 0 0 36 64 64 -0.996374400253007
+24 0 1 0 0 36 66 64 -0.989649258621475
+24 0 1 0 0 36 68 64 -0.964435840517772
+24 0 1 0 0 36 70 64 -0.921587914874431
+24 0 1 0 0 36 72 64 -0.861170146283562
+24 0 1 0 0 36 74 64 -0.785296897454969
+24 0 1 0 0 36 76 64 -0.692165463646107
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 0.0852358247242381
+24 0 0 0 0 36 4 64 0.361742308451814
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+24 0 0 0 0 36 36 64 0.441069275856106
+24 0 0 0 0 36 40 64 0.172675201303614
+24 0 0 0 0 36 44 64 -0.112129748452989
+24 0 0 0 0 36 48 64 -0.388443446739378
+24 0 0 0 0 36 52 64 -0.632088679414992
+24 0 0 0 0 36 56 64 -0.823051260397856
+24 0 0 0 0 36 60 64 -0.948586482034586
+24 0 0 0 0 36 64 64 -0.996374400253007
+24 0 0 0 0 36 68 64 -0.964435840517772
+24 0 0 0 0 36 72 64 -0.861170146283562
+24 0 0 0 0 36 76 64 -0.692165463646107
+24 0 0 0 0 36 80 64 -0.464608085379739
+24 0 0 0 0 36 84 64 -0.198045231944162
+24 0 0 0 0 36 88 64 0.0852358247242381
+24 0 0 0 0 36 92 64 0.361742308451814
+24 0 0 0 0 36 96 64 0.608952999091676
+24 0 0 0 0 36 100 64 0.806832333225271
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/phi.zl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/phi.zl
new file mode 100644
index 000000000..1b2c96361
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/phi.zl
@@ -0,0 +1,1757 @@
+# SPACETIMETOY::phi z (phi)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 0.207911690817761
+0 0 2 0 0 36 48 52 0.309016994374949
+0 0 2 0 0 36 48 53 0.406736643075801
+0 0 2 0 0 36 48 54 0.500000000000001
+0 0 2 0 0 36 48 55 0.587785252292474
+0 0 2 0 0 36 48 56 0.669130606358859
+0 0 2 0 0 36 48 57 0.743144825477395
+0 0 2 0 0 36 48 58 0.809016994374948
+0 0 2 0 0 36 48 59 0.866025403784439
+0 0 2 0 0 36 48 60 0.913545457642601
+0 0 2 0 0 36 48 61 0.951056516295154
+0 0 2 0 0 36 48 62 0.978147600733806
+0 0 2 0 0 36 48 63 0.994521895368273
+0 0 2 0 0 36 48 64 1
+0 0 2 0 0 36 48 65 0.994521895368273
+0 0 2 0 0 36 48 66 0.978147600733806
+0 0 2 0 0 36 48 67 0.951056516295154
+0 0 2 0 0 36 48 68 0.913545457642601
+0 0 2 0 0 36 48 69 0.866025403784439
+0 0 2 0 0 36 48 70 0.809016994374948
+0 0 2 0 0 36 48 71 0.743144825477395
+0 0 2 0 0 36 48 72 0.669130606358859
+0 0 2 0 0 36 48 73 0.587785252292474
+0 0 2 0 0 36 48 74 0.500000000000001
+0 0 2 0 0 36 48 75 0.406736643075801
+0 0 2 0 0 36 48 76 0.309016994374949
+0 0 2 0 0 36 48 77 0.207911690817761
+0 0 2 0 0 36 48 78 0.104528463267655
+0 0 2 0 0 36 48 79 1.61554255216634e-15
+0 0 2 0 0 36 48 80 -0.104528463267652
+0 0 2 0 0 36 48 81 -0.207911690817757
+0 0 2 0 0 36 48 82 -0.309016994374945
+0 0 2 0 0 36 48 83 -0.406736643075798
+0 0 2 0 0 36 48 84 -0.499999999999998
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -1
+0 0 1 0 0 36 48 36 -0.978147600733805
+0 0 1 0 0 36 48 38 -0.9135454576426
+0 0 1 0 0 36 48 40 -0.809016994374946
+0 0 1 0 0 36 48 42 -0.669130606358856
+0 0 1 0 0 36 48 44 -0.499999999999998
+0 0 1 0 0 36 48 46 -0.309016994374945
+0 0 1 0 0 36 48 48 -0.104528463267652
+0 0 1 0 0 36 48 50 0.104528463267655
+0 0 1 0 0 36 48 52 0.309016994374949
+0 0 1 0 0 36 48 54 0.500000000000001
+0 0 1 0 0 36 48 56 0.669130606358859
+0 0 1 0 0 36 48 58 0.809016994374948
+0 0 1 0 0 36 48 60 0.913545457642601
+0 0 1 0 0 36 48 62 0.978147600733806
+0 0 1 0 0 36 48 64 1
+0 0 1 0 0 36 48 66 0.978147600733806
+0 0 1 0 0 36 48 68 0.913545457642601
+0 0 1 0 0 36 48 70 0.809016994374948
+0 0 1 0 0 36 48 72 0.669130606358859
+0 0 1 0 0 36 48 74 0.500000000000001
+0 0 1 0 0 36 48 76 0.309016994374949
+0 0 1 0 0 36 48 78 0.104528463267655
+0 0 1 0 0 36 48 80 -0.104528463267652
+0 0 1 0 0 36 48 82 -0.309016994374945
+0 0 1 0 0 36 48 84 -0.499999999999998
+0 0 1 0 0 36 48 86 -0.669130606358856
+0 0 1 0 0 36 48 88 -0.809016994374946
+0 0 1 0 0 36 48 90 -0.9135454576426
+0 0 1 0 0 36 48 92 -0.978147600733805
+0 0 1 0 0 36 48 94 -1
+0 0 1 0 0 36 48 96 -0.978147600733806
+0 0 1 0 0 36 48 98 -0.913545457642603
+0 0 1 0 0 36 48 100 -0.80901699437495
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 0.913545457642604
+0 0 0 0 0 36 48 4 1
+0 0 0 0 0 36 48 8 0.913545457642598
+0 0 0 0 0 36 48 12 0.669130606358854
+0 0 0 0 0 36 48 16 0.309016994374942
+0 0 0 0 0 36 48 20 -0.104528463267659
+0 0 0 0 0 36 48 24 -0.500000000000004
+0 0 0 0 0 36 48 28 -0.80901699437495
+0 0 0 0 0 36 48 32 -0.978147600733806
+0 0 0 0 0 36 48 36 -0.978147600733805
+0 0 0 0 0 36 48 40 -0.809016994374946
+0 0 0 0 0 36 48 44 -0.499999999999998
+0 0 0 0 0 36 48 48 -0.104528463267652
+0 0 0 0 0 36 48 52 0.309016994374949
+0 0 0 0 0 36 48 56 0.669130606358859
+0 0 0 0 0 36 48 60 0.913545457642601
+0 0 0 0 0 36 48 64 1
+0 0 0 0 0 36 48 68 0.913545457642601
+0 0 0 0 0 36 48 72 0.669130606358859
+0 0 0 0 0 36 48 76 0.309016994374949
+0 0 0 0 0 36 48 80 -0.104528463267652
+0 0 0 0 0 36 48 84 -0.499999999999998
+0 0 0 0 0 36 48 88 -0.809016994374946
+0 0 0 0 0 36 48 92 -0.978147600733805
+0 0 0 0 0 36 48 96 -0.978147600733806
+0 0 0 0 0 36 48 100 -0.80901699437495
+0 0 0 0 0 36 48 104 -0.500000000000003
+0 0 0 0 0 36 48 108 -0.104528463267659
+0 0 0 0 0 36 48 112 0.309016994374942
+0 0 0 0 0 36 48 116 0.669130606358854
+0 0 0 0 0 36 48 120 0.913545457642598
+0 0 0 0 0 36 48 124 1
+0 0 0 0 0 36 48 128 0.913545457642604
+0 0 0 0 0 36 48 132 0.669130606358864
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 0.287110579763995
+1 0 2 0 0 36 48 52 0.385675210016279
+1 0 2 0 0 36 48 53 0.480239182884372
+1 0 2 0 0 36 48 54 0.569383095384072
+1 0 2 0 0 36 48 55 0.652193539253598
+1 0 2 0 0 36 48 56 0.727858414226789
+1 0 2 0 0 36 48 57 0.795548720099547
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+1 0 2 0 0 36 48 59 0.904134604410845
+1 0 2 0 0 36 48 60 0.943840493177814
+1 0 2 0 0 36 48 61 0.973205467990207
+1 0 2 0 0 36 48 62 0.991907800038961
+1 0 2 0 0 36 48 63 0.999742582660437
+1 0 2 0 0 36 48 64 0.9966239763367
+1 0 2 0 0 36 48 65 0.982586149171243
+1 0 2 0 0 36 48 66 0.957782902536096
+1 0 2 0 0 36 48 67 0.922485985991805
+1 0 2 0 0 36 48 68 0.877082119942384
+1 0 2 0 0 36 48 69 0.822068758645642
+1 0 2 0 0 36 48 70 0.758048640000231
+1 0 2 0 0 36 48 71 0.685723181823102
+1 0 2 0 0 36 48 72 0.605884796969117
+1 0 2 0 0 36 48 73 0.519408211489993
+1 0 2 0 0 36 48 74 0.42724088095263
+1 0 2 0 0 36 48 75 0.330392609917647
+1 0 2 0 0 36 48 76 0.229924488309308
+1 0 2 0 0 36 48 77 0.12693726589226
+1 0 2 0 0 36 48 78 0.0225592922267651
+1 0 2 0 0 36 48 79 -0.0820658457652012
+1 0 2 0 0 36 48 80 -0.185791853177582
+1 0 2 0 0 36 48 81 -0.287482286167104
+1 0 2 0 0 36 48 82 -0.385907099563407
+1 0 2 0 0 36 48 83 -0.479979833314779
+1 0 2 0 0 36 48 84 -0.569068595902317
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 0.364827866523465
+2 0 2 0 0 36 48 52 0.460163565831275
+2 0 2 0 0 36 48 53 0.550441620720327
+2 0 2 0 0 36 48 54 0.63491173161828
+2 0 2 0 0 36 48 55 0.712204872566517
+2 0 2 0 0 36 48 56 0.7816793012013
+2 0 2 0 0 36 48 57 0.842589487835212
+2 0 2 0 0 36 48 58 0.894268087717215
+2 0 2 0 0 36 48 59 0.93614889929256
+2 0 2 0 0 36 48 60 0.967773067625504
+2 0 2 0 0 36 48 61 0.988794111710009
+2 0 2 0 0 36 48 62 0.998981720588149
+2 0 2 0 0 36 48 63 0.998224276685161
+2 0 2 0 0 36 48 64 0.98653007871495
+2 0 2 0 0 36 48 65 0.964027250757648
+2 0 2 0 0 36 48 66 0.930962338505373
+2 0 2 0 0 36 48 67 0.88769760805604
+2 0 2 0 0 36 48 68 0.834707076850177
+2 0 2 0 0 36 48 69 0.772571320236659
+2 0 2 0 0 36 48 70 0.701971110567685
+2 0 2 0 0 36 48 71 0.623679958514433
+2 0 2 0 0 36 48 72 0.538555638322275
+2 0 2 0 0 36 48 73 0.447530789856646
+2 0 2 0 0 36 48 74 0.351602700405508
+2 0 2 0 0 36 48 75 0.251822378191133
+2 0 2 0 0 36 48 76 0.149283037304075
+2 0 2 0 0 36 48 77 0.0451081202208295
+2 0 2 0 0 36 48 78 -0.0595610108670361
+2 0 2 0 0 36 48 79 -0.1635775790559
+2 0 2 0 0 36 48 80 -0.265801957057818
+2 0 2 0 0 36 48 81 -0.365095905073121
+2 0 2 0 0 36 48 82 -0.460137560170948
+2 0 2 0 0 36 48 83 -0.550416490982468
+2 0 2 0 0 36 48 84 -0.634688132023963
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -0.985987560869576
+2 0 1 0 0 36 48 36 -0.931782127243204
+2 0 1 0 0 36 48 38 -0.834056957248569
+2 0 1 0 0 36 48 40 -0.702132436769057
+2 0 1 0 0 36 48 42 -0.538759929887645
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+2 0 1 0 0 36 48 48 0.0592868893999165
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+2 0 1 0 0 36 48 54 0.63491173161828
+2 0 1 0 0 36 48 56 0.7816793012013
+2 0 1 0 0 36 48 58 0.894268087717215
+2 0 1 0 0 36 48 60 0.967773067625504
+2 0 1 0 0 36 48 62 0.998981720588149
+2 0 1 0 0 36 48 64 0.98653007871495
+2 0 1 0 0 36 48 66 0.930962338505373
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+2 0 1 0 0 36 48 72 0.538555638322275
+2 0 1 0 0 36 48 74 0.351602700405508
+2 0 1 0 0 36 48 76 0.149283037304075
+2 0 1 0 0 36 48 78 -0.0595610108670361
+2 0 1 0 0 36 48 80 -0.265801957057818
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+2 0 1 0 0 36 48 84 -0.634688132023963
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+2 0 1 0 0 36 48 90 -0.96766008047104
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+2 0 1 0 0 36 48 94 -0.986529160837137
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+2 0 1 0 0 36 48 98 -0.835557169660048
+2 0 1 0 0 36 48 100 -0.70397749959073
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 0.439610654481325
+3 0 2 0 0 36 48 52 0.53111638110626
+3 0 2 0 0 36 48 53 0.61691021418693
+3 0 2 0 0 36 48 54 0.696115234415838
+3 0 2 0 0 36 48 55 0.767409601632008
+3 0 2 0 0 36 48 56 0.830230441371485
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+3 0 2 0 0 36 48 59 0.961852560013202
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+3 0 2 0 0 36 48 61 0.997717444211751
+3 0 2 0 0 36 48 62 0.999321755502667
+3 0 2 0 0 36 48 63 0.989977288518775
+3 0 2 0 0 36 48 64 0.969786423195805
+3 0 2 0 0 36 48 65 0.938970374879445
+3 0 2 0 0 36 48 66 0.897866770643724
+3 0 2 0 0 36 48 67 0.846925950178128
+3 0 2 0 0 36 48 68 0.786706031771732
+3 0 2 0 0 36 48 69 0.717866797452425
+3 0 2 0 0 36 48 70 0.641162464276943
+3 0 2 0 0 36 48 71 0.557433420970971
+3 0 2 0 0 36 48 72 0.467597020454399
+3 0 2 0 0 36 48 73 0.372637529130762
+3 0 2 0 0 36 48 74 0.273595343058552
+3 0 2 0 0 36 48 75 0.171555589154285
+3 0 2 0 0 36 48 76 0.0676362363149297
+3 0 2 0 0 36 48 77 -0.0370241532832846
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+3 0 2 0 0 36 48 82 -0.531249097119133
+3 0 2 0 0 36 48 83 -0.616667081548464
+3 0 2 0 0 36 48 84 -0.695647848116807
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 0.511968078478623
+4 0 2 0 0 36 48 52 0.598988882745793
+4 0 2 0 0 36 48 53 0.679227446081114
+4 0 2 0 0 36 48 54 0.752574267139949
+4 0 2 0 0 36 48 55 0.817422407651007
+4 0 2 0 0 36 48 56 0.873183070101657
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+4 0 2 0 0 36 48 59 0.981072398507262
+4 0 2 0 0 36 48 60 0.995949812587071
+4 0 2 0 0 36 48 61 0.999915392104279
+4 0 2 0 0 36 48 62 0.992925689339845
+4 0 2 0 0 36 48 63 0.975057284939944
+4 0 2 0 0 36 48 64 0.946505948882387
+4 0 2 0 0 36 48 65 0.907584495579771
+4 0 2 0 0 36 48 66 0.858719356619317
+4 0 2 0 0 36 48 67 0.800445908689164
+4 0 2 0 0 36 48 68 0.733402607879338
+4 0 2 0 0 36 48 69 0.658323994623223
+4 0 2 0 0 36 48 70 0.576032645918864
+4 0 2 0 0 36 48 71 0.487430163003237
+4 0 2 0 0 36 48 72 0.393487293220427
+4 0 2 0 0 36 48 73 0.295233294310585
+4 0 2 0 0 36 48 74 0.193744657646737
+4 0 2 0 0 36 48 75 0.0901333139700349
+4 0 2 0 0 36 48 76 -0.0144655491561313
+4 0 2 0 0 36 48 77 -0.118905924698632
+4 0 2 0 0 36 48 78 -0.222043495930283
+4 0 2 0 0 36 48 79 -0.322746261205145
+4 0 2 0 0 36 48 80 -0.419884412297084
+4 0 2 0 0 36 48 81 -0.512278202500116
+4 0 2 0 0 36 48 82 -0.598785054748282
+4 0 2 0 0 36 48 83 -0.679248903529729
+4 0 2 0 0 36 48 84 -0.752351330930225
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -0.945972837387327
+4 0 1 0 0 36 48 36 -0.859418069500438
+4 0 1 0 0 36 48 38 -0.732599316386875
+4 0 1 0 0 36 48 40 -0.576389654900803
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+4 0 1 0 0 36 48 46 0.013900316760349
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+4 0 1 0 0 36 48 54 0.752574267139949
+4 0 1 0 0 36 48 56 0.873183070101657
+4 0 1 0 0 36 48 58 0.955446149926809
+4 0 1 0 0 36 48 60 0.995949812587071
+4 0 1 0 0 36 48 62 0.992925689339845
+4 0 1 0 0 36 48 64 0.946505948882387
+4 0 1 0 0 36 48 66 0.858719356619317
+4 0 1 0 0 36 48 68 0.733402607879338
+4 0 1 0 0 36 48 70 0.576032645918864
+4 0 1 0 0 36 48 72 0.393487293220427
+4 0 1 0 0 36 48 74 0.193744657646737
+4 0 1 0 0 36 48 76 -0.0144655491561313
+4 0 1 0 0 36 48 78 -0.222043495930283
+4 0 1 0 0 36 48 80 -0.419884412297084
+4 0 1 0 0 36 48 82 -0.598785054748282
+4 0 1 0 0 36 48 84 -0.752351330930225
+4 0 1 0 0 36 48 86 -0.872883345910878
+4 0 1 0 0 36 48 88 -0.955250679851219
+4 0 1 0 0 36 48 90 -0.995868975280735
+4 0 1 0 0 36 48 92 -0.992963017780951
+4 0 1 0 0 36 48 94 -0.946582250337102
+4 0 1 0 0 36 48 96 -0.857977578201649
+4 0 1 0 0 36 48 98 -0.734107097663696
+4 0 1 0 0 36 48 100 -0.577734043764381
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 0.994978782650144
+4 0 0 0 0 36 48 4 0.946645972224926
+4 0 0 0 0 36 48 8 0.73462947319334
+4 0 0 0 0 36 48 12 0.395588864347381
+4 0 0 0 0 36 48 16 -0.0118526529562487
+4 0 0 0 0 36 48 20 -0.417244738885771
+4 0 0 0 0 36 48 24 -0.750491418912491
+4 0 0 0 0 36 48 28 -0.953971314608741
+4 0 0 0 0 36 48 32 -0.992500903451822
+4 0 0 0 0 36 48 36 -0.859418069500438
+4 0 0 0 0 36 48 40 -0.576389654900803
+4 0 0 0 0 36 48 44 -0.194292990443707
+4 0 0 0 0 36 48 48 0.221486113420858
+4 0 0 0 0 36 48 52 0.598988882745793
+4 0 0 0 0 36 48 56 0.873183070101657
+4 0 0 0 0 36 48 60 0.995949812587071
+4 0 0 0 0 36 48 64 0.946505948882387
+4 0 0 0 0 36 48 68 0.733402607879338
+4 0 0 0 0 36 48 72 0.393487293220427
+4 0 0 0 0 36 48 76 -0.0144655491561313
+4 0 0 0 0 36 48 80 -0.419884412297084
+4 0 0 0 0 36 48 84 -0.752351330930225
+4 0 0 0 0 36 48 88 -0.955250679851219
+4 0 0 0 0 36 48 92 -0.992963017780951
+4 0 0 0 0 36 48 96 -0.857977578201649
+4 0 0 0 0 36 48 100 -0.577734043764381
+4 0 0 0 0 36 48 104 -0.196154553312441
+4 0 0 0 0 36 48 108 0.219341841415391
+4 0 0 0 0 36 48 112 0.596912039104431
+4 0 0 0 0 36 48 116 0.87127072245668
+4 0 0 0 0 36 48 120 0.994978782650144
+4 0 0 0 0 36 48 124 0.946645972224926
+4 0 0 0 0 36 48 128 0.73462947319334
+4 0 0 0 0 36 48 132 0.395588864347381
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 0.580396076460755
+5 0 2 0 0 36 48 52 0.662381790836797
+5 0 2 0 0 36 48 53 0.737007949381101
+5 0 2 0 0 36 48 54 0.803918092567778
+5 0 2 0 0 36 48 55 0.861890029014745
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+5 0 2 0 0 36 48 57 0.948555476630771
+5 0 2 0 0 36 48 58 0.976466695233681
+5 0 2 0 0 36 48 59 0.993678933888714
+5 0 2 0 0 36 48 60 1.00000420278061
+5 0 2 0 0 36 48 61 0.995373216271727
+5 0 2 0 0 36 48 62 0.979836712510135
+5 0 2 0 0 36 48 63 0.953564912682269
+5 0 2 0 0 36 48 64 0.916845656124769
+5 0 2 0 0 36 48 65 0.870081246696478
+5 0 2 0 0 36 48 66 0.813784045053173
+5 0 2 0 0 36 48 67 0.748570855117007
+5 0 2 0 0 36 48 68 0.675156166243657
+5 0 2 0 0 36 48 69 0.59434432512743
+5 0 2 0 0 36 48 70 0.507020723210562
+5 0 2 0 0 36 48 71 0.414142096149291
+5 0 2 0 0 36 48 72 0.316726041617803
+5 0 2 0 0 36 48 73 0.215839870295165
+5 0 2 0 0 36 48 74 0.112588912186177
+5 0 2 0 0 36 48 75 0.00810440639453223
+5 0 2 0 0 36 48 76 -0.0964688928589927
+5 0 2 0 0 36 48 77 -0.199985240413569
+5 0 2 0 0 36 48 78 -0.301309801956428
+5 0 2 0 0 36 48 79 -0.399322273402492
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+5 0 2 0 0 36 48 83 -0.736833279192407
+5 0 2 0 0 36 48 84 -0.80361146730825
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 0.645406663428211
+6 0 2 0 0 36 48 52 0.721761532016965
+6 0 2 0 0 36 48 53 0.789858903236778
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+6 0 2 0 0 36 48 64 0.881005547445827
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+6 0 2 0 0 36 48 67 0.691650523133208
+6 0 2 0 0 36 48 68 0.612359382824889
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+6 0 2 0 0 36 48 70 0.43459192661223
+6 0 2 0 0 36 48 71 0.338063268159052
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+6 0 2 0 0 36 48 83 -0.789917853138691
+6 0 2 0 0 36 48 84 -0.849823961636204
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -0.882567826104754
+6 0 1 0 0 36 48 36 -0.766578048720388
+6 0 1 0 0 36 48 38 -0.612124626851545
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+6 0 1 0 0 36 48 100 -0.43973293632761
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 0.705626191261946
+7 0 2 0 0 36 48 52 0.775872751354804
+7 0 2 0 0 36 48 53 0.837418997515371
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+7 0 2 0 0 36 48 64 0.839227270185975
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+7 0 2 0 0 36 48 83 -0.837285668197365
+7 0 2 0 0 36 48 84 -0.890015318655003
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 0.761523323176217
+8 0 2 0 0 36 48 52 0.825133900494144
+8 0 2 0 0 36 48 53 0.879343063749369
+8 0 2 0 0 36 48 54 0.924304264738967
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+8 0 2 0 0 36 48 64 0.791792419977948
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+8 0 2 0 0 36 48 71 0.179600013487849
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+8 0 2 0 0 36 48 73 -0.0288784241908947
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+8 0 2 0 0 36 48 83 -0.879457201143424
+8 0 2 0 0 36 48 84 -0.924510036784343
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -0.794496788406299
+8 0 1 0 0 36 48 36 -0.65142119116476
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+8 0 1 0 0 36 48 100 -0.286825407469847
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 0.972771027898471
+8 0 0 0 0 36 48 4 0.795047905556769
+8 0 0 0 0 36 48 8 0.479853777560824
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+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 0.811901082962179
+9 0 2 0 0 36 48 52 0.868496177385242
+9 0 2 0 0 36 48 53 0.915342993156655
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+9 0 2 0 0 36 48 57 1.00001618552531
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+9 0 2 0 0 36 48 84 -0.952566691294959
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 0.85717274332452
+10 0 2 0 0 36 48 52 0.906309182711347
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+10 0 2 0 0 36 48 84 -0.974432423763272
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -0.68787098401789
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+10 0 1 0 0 36 48 100 -0.13035178399717
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 0.896359248663722
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+11 0 2 0 0 36 48 84 -0.98960856366999
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 0.929794198259217
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+12 0 2 0 0 36 48 83 -0.986019896692253
+12 0 2 0 0 36 48 84 -0.998261334521543
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -0.56041671172865
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+12 0 1 0 0 36 48 38 -0.171464051448256
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+12 0 1 0 0 36 48 98 -0.174317760441641
+12 0 1 0 0 36 48 100 0.0334680430257824
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 0.849517568013997
+12 0 0 0 0 36 48 4 0.561234706264648
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+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 0.956736020486604
+13 0 2 0 0 36 48 52 0.981821829217249
+13 0 2 0 0 36 48 53 0.995832597014376
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+13 0 2 0 0 36 48 83 -0.996316807512755
+13 0 2 0 0 36 48 84 -1.00014826580871
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 0.977432231797126
+14 0 2 0 0 36 48 52 0.994048199357672
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+14 0 2 0 0 36 48 83 -1.00021250960376
+14 0 2 0 0 36 48 84 -0.995350181034576
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 -0.421525074248578
+14 0 1 0 0 36 48 36 -0.222773964765058
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+14 0 1 0 0 36 48 100 0.192087873213002
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 0.991391913917759
+15 0 2 0 0 36 48 52 0.99947921819904
+15 0 2 0 0 36 48 53 0.996227528365242
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+15 0 2 0 0 36 48 84 -0.983889252767793
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 0.998777178864236
+16 0 2 0 0 36 48 52 0.99822258416967
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+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 -0.267892219024116
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+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 0.638309008746076
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+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 0.99937091771007
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+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 0.993239321145782
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+18 0 2 0 0 36 48 84 -0.910258265926021
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 -0.111324131256225
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+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 0.980461339769726
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+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 0.960998478769544
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+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 0.0522636263641983
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+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 0.361341506291145
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+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 0.935225727339702
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+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 0.903005242219767
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+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 0.209902566140285
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+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+24 0 0 0 0 36 48 76 -0.993891933535202
+24 0 0 0 0 36 48 80 -0.875673017548016
+24 0 0 0 0 36 48 84 -0.606568154508721
+24 0 0 0 0 36 48 88 -0.23246235678866
+24 0 0 0 0 36 48 92 0.176207166769499
+24 0 0 0 0 36 48 96 0.552651386268242
+24 0 0 0 0 36 48 100 0.842183184123775
+24 0 0 0 0 36 48 104 0.987265481961435
+24 0 0 0 0 36 48 108 0.962546424348691
+24 0 0 0 0 36 48 112 0.772244447705454
+24 0 0 0 0 36 48 116 0.44868614273213
+24 0 0 0 0 36 48 120 0.0475846072596532
+24 0 0 0 0 36 48 124 -0.361742081046931
+24 0 0 0 0 36 48 128 -0.708520193794506
+24 0 0 0 0 36 48 132 -0.932788726536799
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/psi.xl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/psi.xl
new file mode 100644
index 000000000..f2f768b2f
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/psi.xl
@@ -0,0 +1,1082 @@
+# SPACETIMETOY::psi x (psi)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0.886732333093799
+0 0 2 0 0 28 48 64 0.814532388693861
+0 0 2 0 0 29 48 64 0.733408256991533
+0 0 2 0 0 30 48 64 0.644248750950061
+0 0 2 0 0 31 48 64 0.548030720775461
+0 0 2 0 0 32 48 64 0.445808351341244
+0 0 2 0 0 33 48 64 0.338701612318338
+0 0 2 0 0 34 48 64 0.227883987553003
+0 0 2 0 0 35 48 64 0.114569618132247
+0 0 2 0 0 36 48 64 -1.08122938250794e-16
+0 0 2 0 0 37 48 64 -0.114569618132247
+0 0 2 0 0 38 48 64 -0.227883987553003
+0 0 2 0 0 39 48 64 -0.338701612318338
+0 0 2 0 0 40 48 64 -0.445808351341245
+0 0 2 0 0 41 48 64 -0.548030720775461
+0 0 2 0 0 42 48 64 -0.644248750950061
+0 0 2 0 0 43 48 64 -0.733408256991533
+0 0 2 0 0 44 48 64 -0.814532388693862
+0 0 2 0 0 45 48 64 -0.8867323330938
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 1.04241637624687
+0 0 1 0 0 20 48 64 1.09005710229131
+0 0 1 0 0 22 48 64 1.09005710229131
+0 0 1 0 0 24 48 64 1.04241637624686
+0 0 1 0 0 26 48 64 0.949217052491692
+0 0 1 0 0 28 48 64 0.814532388693861
+0 0 1 0 0 30 48 64 0.644248750950061
+0 0 1 0 0 32 48 64 0.445808351341244
+0 0 1 0 0 34 48 64 0.227883987553003
+0 0 1 0 0 36 48 64 -1.08122938250794e-16
+0 0 1 0 0 38 48 64 -0.227883987553003
+0 0 1 0 0 40 48 64 -0.445808351341245
+0 0 1 0 0 42 48 64 -0.644248750950061
+0 0 1 0 0 44 48 64 -0.814532388693862
+0 0 1 0 0 46 48 64 -0.949217052491692
+0 0 1 0 0 48 48 64 -1.04241637624687
+0 0 1 0 0 50 48 64 -1.09005710229131
+0 0 1 0 0 52 48 64 -1.09005710229131
+0 0 1 0 0 54 48 64 -1.04241637624687
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -0.644248750950058
+0 0 0 0 0 4 48 64 -0.227883987553
+0 0 0 0 0 8 48 64 0.227883987553006
+0 0 0 0 0 12 48 64 0.644248750950063
+0 0 0 0 0 16 48 64 0.949217052491693
+0 0 0 0 0 20 48 64 1.09005710229131
+0 0 0 0 0 24 48 64 1.04241637624686
+0 0 0 0 0 28 48 64 0.814532388693861
+0 0 0 0 0 32 48 64 0.445808351341244
+0 0 0 0 0 36 48 64 -1.08122938250794e-16
+0 0 0 0 0 40 48 64 -0.445808351341245
+0 0 0 0 0 44 48 64 -0.814532388693862
+0 0 0 0 0 48 48 64 -1.04241637624687
+0 0 0 0 0 52 48 64 -1.09005710229131
+0 0 0 0 0 56 48 64 -0.949217052491693
+0 0 0 0 0 60 48 64 -0.644248750950063
+0 0 0 0 0 64 48 64 -0.227883987553006
+0 0 0 0 0 68 48 64 0.227883987553
+0 0 0 0 0 72 48 64 0.644248750950058
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0.831206635078986
+1 0 2 0 0 28 48 64 0.752020928173019
+1 0 2 0 0 29 48 64 0.663524231034563
+1 0 2 0 0 30 48 64 0.569363082136373
+1 0 2 0 0 31 48 64 0.468346236668994
+1 0 2 0 0 32 48 64 0.36219809182492
+1 0 2 0 0 33 48 64 0.252081628891988
+1 0 2 0 0 34 48 64 0.139203306881443
+1 0 2 0 0 35 48 64 0.0247998443105409
+1 0 2 0 0 36 48 64 -0.0898753305443298
+1 0 2 0 0 37 48 64 -0.203565812470134
+1 0 2 0 0 38 48 64 -0.315025984755632
+1 0 2 0 0 39 48 64 -0.423034666428718
+1 0 2 0 0 40 48 64 -0.52640849177072
+1 0 2 0 0 41 48 64 -0.624014875518821
+1 0 2 0 0 42 48 64 -0.714784421707229
+1 0 2 0 0 43 48 64 -0.797082574601958
+1 0 2 0 0 44 48 64 -0.871560470465279
+1 0 2 0 0 45 48 64 -0.936209189523383
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0.769890979179783
+2 0 2 0 0 28 48 64 0.684186095443184
+2 0 2 0 0 29 48 64 0.589992792150657
+2 0 2 0 0 30 48 64 0.490095617737983
+2 0 2 0 0 31 48 64 0.385471452913685
+2 0 2 0 0 32 48 64 0.276147326190637
+2 0 2 0 0 33 48 64 0.163763432224598
+2 0 2 0 0 34 48 64 0.0495853118254011
+2 0 2 0 0 35 48 64 -0.0651360756265477
+2 0 2 0 0 36 48 64 -0.17914381860333
+2 0 2 0 0 37 48 64 -0.291188824415243
+2 0 2 0 0 38 48 64 -0.400043504531679
+2 0 2 0 0 39 48 64 -0.504515224297986
+2 0 2 0 0 40 48 64 -0.603459369690283
+2 0 2 0 0 41 48 64 -0.695816301506237
+2 0 2 0 0 42 48 64 -0.780656527839925
+2 0 2 0 0 43 48 64 -0.854676141214242
+2 0 2 0 0 44 48 64 -0.922933812342462
+2 0 2 0 0 45 48 64 -0.979605017409082
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 1.0815619063396
+2 0 1 0 0 20 48 64 1.09374280200527
+2 0 1 0 0 22 48 64 1.05337441551003
+2 0 1 0 0 24 48 64 0.973245078555849
+2 0 1 0 0 26 48 64 0.847229586187008
+2 0 1 0 0 28 48 64 0.684186095443184
+2 0 1 0 0 30 48 64 0.490095617737983
+2 0 1 0 0 32 48 64 0.276147326190637
+2 0 1 0 0 34 48 64 0.0495853118254011
+2 0 1 0 0 36 48 64 -0.17914381860333
+2 0 1 0 0 38 48 64 -0.400043504531679
+2 0 1 0 0 40 48 64 -0.603459369690283
+2 0 1 0 0 42 48 64 -0.780656527839925
+2 0 1 0 0 44 48 64 -0.922933812342462
+2 0 1 0 0 46 48 64 -1.02563101830685
+2 0 1 0 0 48 48 64 -1.08350322724757
+2 0 1 0 0 50 48 64 -1.09069834634059
+2 0 1 0 0 52 48 64 -1.05735227162944
+2 0 1 0 0 54 48 64 -0.974057254112704
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0.703882927688533
+3 0 2 0 0 28 48 64 0.612170968572175
+3 0 2 0 0 29 48 64 0.513063750009223
+3 0 2 0 0 30 48 64 0.407337755949297
+3 0 2 0 0 31 48 64 0.299841037794989
+3 0 2 0 0 32 48 64 0.188226958941029
+3 0 2 0 0 33 48 64 0.0743423653719992
+3 0 2 0 0 34 48 64 -0.0403659017062752
+3 0 2 0 0 35 48 64 -0.154631911518352
+3 0 2 0 0 36 48 64 -0.267203741749021
+3 0 2 0 0 37 48 64 -0.376848031869112
+3 0 2 0 0 38 48 64 -0.482363496091527
+3 0 2 0 0 39 48 64 -0.582594084909705
+3 0 2 0 0 40 48 64 -0.676447129343911
+3 0 2 0 0 41 48 64 -0.762973854386151
+3 0 2 0 0 42 48 64 -0.841075176765742
+3 0 2 0 0 43 48 64 -0.906258596759038
+3 0 2 0 0 44 48 64 -0.96798508665944
+3 0 2 0 0 45 48 64 -1.01627206426612
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0.632660249111206
+4 0 2 0 0 28 48 64 0.535594521537386
+4 0 2 0 0 29 48 64 0.433049433555436
+4 0 2 0 0 30 48 64 0.322036777774176
+4 0 2 0 0 31 48 64 0.211960628193637
+4 0 2 0 0 32 48 64 0.0989824955416823
+4 0 2 0 0 33 48 64 -0.0155819598198214
+4 0 2 0 0 34 48 64 -0.130044031999735
+4 0 2 0 0 35 48 64 -0.243084406562967
+4 0 2 0 0 36 48 64 -0.353461530936081
+4 0 2 0 0 37 48 64 -0.459966056809677
+4 0 2 0 0 38 48 64 -0.561431122152149
+4 0 2 0 0 39 48 64 -0.656746744296068
+4 0 2 0 0 40 48 64 -0.744894171835468
+4 0 2 0 0 41 48 64 -0.824966086343246
+4 0 2 0 0 42 48 64 -0.895245061691403
+4 0 2 0 0 43 48 64 -0.952390690334397
+4 0 2 0 0 44 48 64 -1.00693673597154
+4 0 2 0 0 45 48 64 -1.04650753635413
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 1.09300463321296
+4 0 1 0 0 20 48 64 1.06808640830147
+4 0 1 0 0 22 48 64 0.988567622950926
+4 0 1 0 0 24 48 64 0.877114675559307
+4 0 1 0 0 26 48 64 0.722584929048558
+4 0 1 0 0 28 48 64 0.535594521537386
+4 0 1 0 0 30 48 64 0.322036777774176
+4 0 1 0 0 32 48 64 0.0989824955416823
+4 0 1 0 0 34 48 64 -0.130044031999735
+4 0 1 0 0 36 48 64 -0.353461530936081
+4 0 1 0 0 38 48 64 -0.561431122152149
+4 0 1 0 0 40 48 64 -0.744894171835468
+4 0 1 0 0 42 48 64 -0.895245061691403
+4 0 1 0 0 44 48 64 -1.00693673597154
+4 0 1 0 0 46 48 64 -1.07456674276656
+4 0 1 0 0 48 48 64 -1.09444776366525
+4 0 1 0 0 50 48 64 -1.06263719345605
+4 0 1 0 0 52 48 64 -0.995709922457008
+4 0 1 0 0 54 48 64 -0.87919052114157
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -0.329790017513403
+4 0 0 0 0 4 48 64 0.122913815774115
+4 0 0 0 0 8 48 64 0.554364733677329
+4 0 0 0 0 12 48 64 0.88996095288223
+4 0 0 0 0 16 48 64 1.07167483829235
+4 0 0 0 0 20 48 64 1.06808640830147
+4 0 0 0 0 24 48 64 0.877114675559307
+4 0 0 0 0 28 48 64 0.535594521537386
+4 0 0 0 0 32 48 64 0.0989824955416823
+4 0 0 0 0 36 48 64 -0.353461530936081
+4 0 0 0 0 40 48 64 -0.744894171835468
+4 0 0 0 0 44 48 64 -1.00693673597154
+4 0 0 0 0 48 48 64 -1.09444776366525
+4 0 0 0 0 52 48 64 -0.995709922457008
+4 0 0 0 0 56 48 64 -0.725470160724599
+4 0 0 0 0 60 48 64 -0.329790017513403
+4 0 0 0 0 64 48 64 0.122913815774115
+4 0 0 0 0 68 48 64 0.554364733677329
+4 0 0 0 0 72 48 64 0.88996095288223
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0.557648373945846
+5 0 2 0 0 28 48 64 0.455751812057819
+5 0 2 0 0 29 48 64 0.349954777781839
+5 0 2 0 0 30 48 64 0.235172244981251
+5 0 2 0 0 31 48 64 0.122517551973053
+5 0 2 0 0 32 48 64 0.00894377017190948
+5 0 2 0 0 33 48 64 -0.105420380401926
+5 0 2 0 0 34 48 64 -0.218845642746035
+5 0 2 0 0 35 48 64 -0.329897360945321
+5 0 2 0 0 36 48 64 -0.437335771461554
+5 0 2 0 0 37 48 64 -0.539982668364983
+5 0 2 0 0 38 48 64 -0.636714003617035
+5 0 2 0 0 39 48 64 -0.72647929952904
+5 0 2 0 0 40 48 64 -0.808334905132801
+5 0 2 0 0 41 48 64 -0.881196678149618
+5 0 2 0 0 42 48 64 -0.942987146112909
+5 0 2 0 0 43 48 64 -0.992821031362279
+5 0 2 0 0 44 48 64 -1.03890191068253
+5 0 2 0 0 45 48 64 -1.06948043559713
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0.478158556079294
+6 0 2 0 0 28 48 64 0.372211154227142
+6 0 2 0 0 29 48 64 0.264117895972746
+6 0 2 0 0 30 48 64 0.147254264877207
+6 0 2 0 0 31 48 64 0.0323731344204654
+6 0 2 0 0 32 48 64 -0.0813182307867498
+6 0 2 0 0 33 48 64 -0.194606117974975
+6 0 2 0 0 34 48 64 -0.306178354824218
+6 0 2 0 0 35 48 64 -0.41448598900554
+6 0 2 0 0 36 48 64 -0.518261143422427
+6 0 2 0 0 37 48 64 -0.616358731263802
+6 0 2 0 0 38 48 64 -0.707707015715112
+6 0 2 0 0 39 48 64 -0.791326308787835
+6 0 2 0 0 40 48 64 -0.866278325958348
+6 0 2 0 0 41 48 64 -0.931130211153489
+6 0 2 0 0 42 48 64 -0.98428113627726
+6 0 2 0 0 43 48 64 -1.0273939991871
+6 0 2 0 0 44 48 64 -1.0641762273245
+6 0 2 0 0 45 48 64 -1.08548726203064
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 1.07646652025022
+6 0 1 0 0 20 48 64 1.01584850976275
+6 0 1 0 0 22 48 64 0.898012243337659
+6 0 1 0 0 24 48 64 0.756527793165781
+6 0 1 0 0 26 48 64 0.578354946577916
+6 0 1 0 0 28 48 64 0.372211154227142
+6 0 1 0 0 30 48 64 0.147254264877207
+6 0 1 0 0 32 48 64 -0.0813182307867498
+6 0 1 0 0 34 48 64 -0.306178354824218
+6 0 1 0 0 36 48 64 -0.518261143422427
+6 0 1 0 0 38 48 64 -0.707707015715112
+6 0 1 0 0 40 48 64 -0.866278325958348
+6 0 1 0 0 42 48 64 -0.98428113627726
+6 0 1 0 0 44 48 64 -1.0641762273245
+6 0 1 0 0 46 48 64 -1.09451155080284
+6 0 1 0 0 48 48 64 -1.07508062191194
+6 0 1 0 0 50 48 64 -1.00732109864666
+6 0 1 0 0 52 48 64 -0.910331111543969
+6 0 1 0 0 54 48 64 -0.76414647362346
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0.395894480813578
+7 0 2 0 0 28 48 64 0.28666008333561
+7 0 2 0 0 29 48 64 0.176088864972739
+7 0 2 0 0 30 48 64 0.0585969304762133
+7 0 2 0 0 31 48 64 -0.0576068657401815
+7 0 2 0 0 32 48 64 -0.171127166543222
+7 0 2 0 0 33 48 64 -0.282585842398747
+7 0 2 0 0 34 48 64 -0.391471498812187
+7 0 2 0 0 35 48 64 -0.496282541601303
+7 0 2 0 0 36 48 64 -0.595692527822168
+7 0 2 0 0 37 48 64 -0.688580482868249
+7 0 2 0 0 38 48 64 -0.773935403371284
+7 0 2 0 0 39 48 64 -0.850835285536894
+7 0 2 0 0 40 48 64 -0.918214713796663
+7 0 2 0 0 41 48 64 -0.974444468267201
+7 0 2 0 0 42 48 64 -1.01943045980989
+7 0 2 0 0 43 48 64 -1.05518673791312
+7 0 2 0 0 44 48 64 -1.08193805696714
+7 0 2 0 0 45 48 64 -1.09394734466294
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0.310230834392974
+8 0 2 0 0 28 48 64 0.198536087619804
+8 0 2 0 0 29 48 64 0.0866821092831075
+8 0 2 0 0 30 48 64 -0.0306442111645317
+8 0 2 0 0 31 48 64 -0.146738162271215
+8 0 2 0 0 32 48 64 -0.25970446774712
+8 0 2 0 0 33 48 64 -0.3687855531551
+8 0 2 0 0 34 48 64 -0.47418264918526
+8 0 2 0 0 35 48 64 -0.574744274569178
+8 0 2 0 0 36 48 64 -0.669110109640005
+8 0 2 0 0 37 48 64 -0.756164044419027
+8 0 2 0 0 38 48 64 -0.83495224616468
+8 0 2 0 0 39 48 64 -0.904551161750554
+8 0 2 0 0 40 48 64 -0.963687098590263
+8 0 2 0 0 41 48 64 -1.01109717361214
+8 0 2 0 0 42 48 64 -1.04829138835607
+8 0 2 0 0 43 48 64 -1.07582512650847
+8 0 2 0 0 44 48 64 -1.09246127592056
+8 0 2 0 0 45 48 64 -1.09491935688337
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 1.03145548567628
+8 0 1 0 0 20 48 64 0.936108910194833
+8 0 1 0 0 22 48 64 0.786045325822742
+8 0 1 0 0 24 48 64 0.614595483180127
+8 0 1 0 0 26 48 64 0.417904174028164
+8 0 1 0 0 28 48 64 0.198536087619804
+8 0 1 0 0 30 48 64 -0.0306442111645317
+8 0 1 0 0 32 48 64 -0.25970446774712
+8 0 1 0 0 34 48 64 -0.47418264918526
+8 0 1 0 0 36 48 64 -0.669110109640005
+8 0 1 0 0 38 48 64 -0.83495224616468
+8 0 1 0 0 40 48 64 -0.963687098590263
+8 0 1 0 0 42 48 64 -1.04829138835607
+8 0 1 0 0 44 48 64 -1.09246127592056
+8 0 1 0 0 46 48 64 -1.08460929455761
+8 0 1 0 0 48 48 64 -1.02616347690597
+8 0 1 0 0 50 48 64 -0.927849467791378
+8 0 1 0 0 52 48 64 -0.799482153300338
+8 0 1 0 0 54 48 64 -0.626651105935794
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 0.0180749396239575
+8 0 0 0 0 4 48 64 0.459964323898609
+8 0 0 0 0 8 48 64 0.822321697926489
+8 0 0 0 0 12 48 64 1.04249217982478
+8 0 0 0 0 16 48 64 1.08251068853216
+8 0 0 0 0 20 48 64 0.936108910194833
+8 0 0 0 0 24 48 64 0.614595483180127
+8 0 0 0 0 28 48 64 0.198536087619804
+8 0 0 0 0 32 48 64 -0.25970446774712
+8 0 0 0 0 36 48 64 -0.669110109640005
+8 0 0 0 0 40 48 64 -0.963687098590263
+8 0 0 0 0 44 48 64 -1.09246127592056
+8 0 0 0 0 48 48 64 -1.02616347690597
+8 0 0 0 0 52 48 64 -0.799482153300338
+8 0 0 0 0 56 48 64 -0.427042597200625
+8 0 0 0 0 60 48 64 0.0180749396239575
+8 0 0 0 0 64 48 64 0.459964323898609
+8 0 0 0 0 68 48 64 0.822321697926489
+8 0 0 0 0 72 48 64 1.04249217982478
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0.222909894323659
+9 0 2 0 0 28 48 64 0.109675069145788
+9 0 2 0 0 29 48 64 -0.0032584500210483
+9 0 2 0 0 30 48 64 -0.120055694217392
+9 0 2 0 0 31 48 64 -0.234584514780661
+9 0 2 0 0 32 48 64 -0.346258993513251
+9 0 2 0 0 33 48 64 -0.452575690895076
+9 0 2 0 0 34 48 64 -0.553791423621842
+9 0 2 0 0 35 48 64 -0.649362806805844
+9 0 2 0 0 36 48 64 -0.738026527637906
+9 0 2 0 0 37 48 64 -0.818658948044329
+9 0 2 0 0 38 48 64 -0.890330441006226
+9 0 2 0 0 39 48 64 -0.952027047360959
+9 0 2 0 0 40 48 64 -1.00239668283457
+9 0 2 0 0 41 48 64 -1.0411920351195
+9 0 2 0 0 42 48 64 -1.07063604466692
+9 0 2 0 0 43 48 64 -1.08867740807059
+9 0 2 0 0 44 48 64 -1.09539048868572
+9 0 2 0 0 45 48 64 -1.08829374981895
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0.133327350536129
+10 0 2 0 0 28 48 64 0.0194650605582076
+10 0 2 0 0 29 48 64 -0.0930497191090211
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+10 0 2 0 0 34 48 64 -0.629779599305406
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+10 0 2 0 0 38 48 64 -0.939657962893811
+10 0 2 0 0 39 48 64 -0.992874700237702
+10 0 2 0 0 40 48 64 -1.03425095779105
+10 0 2 0 0 41 48 64 -1.06477859305501
+10 0 2 0 0 42 48 64 -1.08580576892096
+10 0 2 0 0 43 48 64 -1.0939279437219
+10 0 2 0 0 44 48 64 -1.09084416042896
+10 0 2 0 0 45 48 64 -1.07406972099027
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0.960674845205123
+10 0 1 0 0 20 48 64 0.833210678231873
+10 0 1 0 0 22 48 64 0.654863039468218
+10 0 1 0 0 24 48 64 0.456570070071108
+10 0 1 0 0 26 48 64 0.245181354760902
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+10 0 1 0 0 32 48 64 -0.43011434445387
+10 0 1 0 0 34 48 64 -0.629779599305406
+10 0 1 0 0 36 48 64 -0.801995341518699
+10 0 1 0 0 38 48 64 -0.939657962893811
+10 0 1 0 0 40 48 64 -1.03425095779105
+10 0 1 0 0 42 48 64 -1.08580576892096
+10 0 1 0 0 44 48 64 -1.09084416042896
+10 0 1 0 0 46 48 64 -1.04486217147689
+10 0 1 0 0 48 48 64 -0.950706984271854
+10 0 1 0 0 50 48 64 -0.825546603118868
+10 0 1 0 0 52 48 64 -0.670306815006055
+10 0 1 0 0 54 48 64 -0.476510756174419
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 0.0433234458226134
+11 0 2 0 0 28 48 64 -0.0704300526558859
+11 0 2 0 0 29 48 64 -0.182094202449852
+11 0 2 0 0 30 48 64 -0.296718649620397
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+11 0 2 0 0 37 48 64 -0.926748197081392
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+11 0 2 0 0 39 48 64 -1.02683182391868
+11 0 2 0 0 40 48 64 -1.05930953824958
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+11 0 2 0 0 42 48 64 -1.09346048166335
+11 0 2 0 0 43 48 64 -1.09148727499019
+11 0 2 0 0 44 48 64 -1.07895339385571
+11 0 2 0 0 45 48 64 -1.0526051190849
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 -0.0478370982986779
+12 0 2 0 0 28 48 64 -0.160564898992176
+12 0 2 0 0 29 48 64 -0.269989255522169
+12 0 2 0 0 30 48 64 -0.382382296150636
+12 0 2 0 0 31 48 64 -0.487298511278054
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+12 0 2 0 0 34 48 64 -0.768718240157261
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+12 0 2 0 0 36 48 64 -0.913528280919116
+12 0 2 0 0 37 48 64 -0.97159892918612
+12 0 2 0 0 38 48 64 -1.01867519117813
+12 0 2 0 0 39 48 64 -1.05379788237637
+12 0 2 0 0 40 48 64 -1.07764145687457
+12 0 2 0 0 41 48 64 -1.09157471322183
+12 0 2 0 0 42 48 64 -1.09327590979237
+12 0 2 0 0 43 48 64 -1.08178626711459
+12 0 2 0 0 44 48 64 -1.05967448806414
+12 0 2 0 0 45 48 64 -1.02382437725313
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0.862379654665216
+12 0 1 0 0 20 48 64 0.705706124329151
+12 0 1 0 0 22 48 64 0.507616453989321
+12 0 1 0 0 24 48 64 0.287371593029383
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+12 0 1 0 0 32 48 64 -0.587965782897599
+12 0 1 0 0 34 48 64 -0.768718240157261
+12 0 1 0 0 36 48 64 -0.913528280919116
+12 0 1 0 0 38 48 64 -1.01867519117813
+12 0 1 0 0 40 48 64 -1.07764145687457
+12 0 1 0 0 42 48 64 -1.09327590979237
+12 0 1 0 0 44 48 64 -1.05967448806414
+12 0 1 0 0 46 48 64 -0.976594096962464
+12 0 1 0 0 48 48 64 -0.85154119279336
+12 0 1 0 0 50 48 64 -0.702473299883359
+12 0 1 0 0 52 48 64 -0.520423840901141
+12 0 1 0 0 54 48 64 -0.309915717800446
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 0.363071044311725
+12 0 0 0 0 4 48 64 0.748273492193749
+12 0 0 0 0 8 48 64 1.0040662978272
+12 0 0 0 0 12 48 64 1.08627037962757
+12 0 0 0 0 16 48 64 0.981030857635248
+12 0 0 0 0 20 48 64 0.705706124329151
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+12 0 0 0 0 36 48 64 -0.913528280919116
+12 0 0 0 0 40 48 64 -1.07764145687457
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+12 0 0 0 0 48 48 64 -0.85154119279336
+12 0 0 0 0 52 48 64 -0.520423840901141
+12 0 0 0 0 56 48 64 -0.0854399323476797
+12 0 0 0 0 60 48 64 0.363071044311725
+12 0 0 0 0 64 48 64 0.748273492193749
+12 0 0 0 0 68 48 64 1.0040662978272
+12 0 0 0 0 72 48 64 1.08627037962757
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 -0.1381216675497
+13 0 2 0 0 28 48 64 -0.249280470975397
+13 0 2 0 0 29 48 64 -0.356201540256382
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+13 0 2 0 0 36 48 64 -0.960389014311629
+13 0 2 0 0 37 48 64 -1.0098691707652
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+13 0 2 0 0 39 48 64 -1.07379824958162
+13 0 2 0 0 40 48 64 -1.08918491714875
+13 0 2 0 0 41 48 64 -1.09401271224608
+13 0 2 0 0 42 48 64 -1.08544838090846
+13 0 2 0 0 43 48 64 -1.06474908613903
+13 0 2 0 0 44 48 64 -1.03333510305755
+13 0 2 0 0 45 48 64 -0.988431174459136
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 -0.228310507127058
+14 0 2 0 0 28 48 64 -0.337129771097303
+14 0 2 0 0 29 48 64 -0.440314927236547
+14 0 2 0 0 30 48 64 -0.545192054328385
+14 0 2 0 0 31 48 64 -0.641707036051273
+14 0 2 0 0 32 48 64 -0.730716992378932
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+14 0 2 0 0 36 48 64 -1.00084076277153
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+14 0 2 0 0 38 48 64 -1.06981275213705
+14 0 2 0 0 39 48 64 -1.08688006987313
+14 0 2 0 0 40 48 64 -1.09368903270354
+14 0 2 0 0 41 48 64 -1.08872251299163
+14 0 2 0 0 42 48 64 -1.07009387186258
+14 0 2 0 0 43 48 64 -1.04067196834172
+14 0 2 0 0 44 48 64 -0.999826018834823
+14 0 2 0 0 45 48 64 -0.946134033100144
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0.743999086387264
+14 0 1 0 0 20 48 64 0.562022452296418
+14 0 1 0 0 22 48 64 0.346685462065514
+14 0 1 0 0 24 48 64 0.112395765150976
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+14 0 1 0 0 36 48 64 -1.00084076277153
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+14 0 1 0 0 40 48 64 -1.09368903270354
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+14 0 1 0 0 44 48 64 -0.999826018834823
+14 0 1 0 0 46 48 64 -0.882514029857737
+14 0 1 0 0 48 48 64 -0.731889318803556
+14 0 1 0 0 50 48 64 -0.56074782602915
+14 0 1 0 0 52 48 64 -0.360362124012423
+14 0 1 0 0 54 48 64 -0.139727597154372
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 -0.316210179645752
+15 0 2 0 0 28 48 64 -0.422256628590545
+15 0 2 0 0 29 48 64 -0.521627106802983
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+15 0 2 0 0 34 48 64 -0.936371130593588
+15 0 2 0 0 35 48 64 -0.991446155665475
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+15 0 2 0 0 37 48 64 -1.06552738595614
+15 0 2 0 0 38 48 64 -1.08467660392127
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+15 0 2 0 0 40 48 64 -1.09078723904863
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+15 0 2 0 0 42 48 64 -1.04757108116366
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+15 0 2 0 0 44 48 64 -0.959723533182527
+15 0 2 0 0 45 48 64 -0.898030432431619
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 -0.402584989684238
+16 0 2 0 0 28 48 64 -0.505279767044239
+16 0 2 0 0 29 48 64 -0.599664938695831
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+16 0 2 0 0 36 48 64 -1.06092098400655
+16 0 2 0 0 37 48 64 -1.08248731378986
+16 0 2 0 0 38 48 64 -1.09239973722453
+16 0 2 0 0 39 48 64 -1.09194833268977
+16 0 2 0 0 40 48 64 -1.08016230478225
+16 0 2 0 0 41 48 64 -1.05496493191
+16 0 2 0 0 42 48 64 -1.01794310197822
+16 0 2 0 0 43 48 64 -0.971327239310595
+16 0 2 0 0 44 48 64 -0.912835546838475
+16 0 2 0 0 45 48 64 -0.84364650059374
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0.602092220686916
+16 0 1 0 0 20 48 64 0.39935059419709
+16 0 1 0 0 22 48 64 0.175776706705515
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+16 0 1 0 0 32 48 64 -0.854867546692555
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+16 0 1 0 0 36 48 64 -1.06092098400655
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+16 0 1 0 0 40 48 64 -1.08016230478225
+16 0 1 0 0 42 48 64 -1.01794310197822
+16 0 1 0 0 44 48 64 -0.912835546838475
+16 0 1 0 0 46 48 64 -0.766174321860185
+16 0 1 0 0 48 48 64 -0.594109694015019
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+16 0 1 0 0 52 48 64 -0.186612033330958
+16 0 1 0 0 54 48 64 0.0389595044075054
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 0.669240336362458
+16 0 0 0 0 4 48 64 0.95800154685088
+16 0 0 0 0 8 48 64 1.08095498290762
+16 0 0 0 0 12 48 64 1.01711052023118
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+16 0 0 0 0 36 48 64 -1.06092098400655
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+16 0 0 0 0 44 48 64 -0.912835546838475
+16 0 0 0 0 48 48 64 -0.594109694015019
+16 0 0 0 0 52 48 64 -0.186612033330958
+16 0 0 0 0 56 48 64 0.263820694168841
+16 0 0 0 0 60 48 64 0.669240336362458
+16 0 0 0 0 64 48 64 0.95800154685088
+16 0 0 0 0 68 48 64 1.08095498290762
+16 0 0 0 0 72 48 64 1.01711052023118
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 -0.485308818679871
+17 0 2 0 0 28 48 64 -0.584231567736171
+17 0 2 0 0 29 48 64 -0.67364260677102
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+17 0 2 0 0 36 48 64 -1.07976798922507
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+17 0 2 0 0 40 48 64 -1.06172051623868
+17 0 2 0 0 41 48 64 -1.02698200689606
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+17 0 2 0 0 43 48 64 -0.926471046148481
+17 0 2 0 0 44 48 64 -0.860197033133025
+17 0 2 0 0 45 48 64 -0.78435363600818
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 -0.565130330885955
+18 0 2 0 0 28 48 64 -0.659767903573745
+18 0 2 0 0 29 48 64 -0.743164191791251
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+18 0 2 0 0 36 48 64 -1.09081073984279
+18 0 2 0 0 37 48 64 -1.09415306984922
+18 0 2 0 0 38 48 64 -1.08627719169647
+18 0 2 0 0 39 48 64 -1.06736547540736
+18 0 2 0 0 40 48 64 -1.03566985811085
+18 0 2 0 0 41 48 64 -0.992053053918132
+18 0 2 0 0 42 48 64 -0.938188828473198
+18 0 2 0 0 43 48 64 -0.875378155516388
+18 0 2 0 0 44 48 64 -0.801463000956057
+18 0 2 0 0 45 48 64 -0.719627635892619
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0.448171245449598
+18 0 1 0 0 20 48 64 0.23008776505014
+18 0 1 0 0 22 48 64 -0.000740791066230814
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+18 0 1 0 0 42 48 64 -0.938188828473198
+18 0 1 0 0 44 48 64 -0.801463000956057
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+18 0 1 0 0 48 48 64 -0.441013004594466
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+18 0 1 0 0 52 48 64 -0.0125983161386608
+18 0 1 0 0 54 48 64 0.211623825872586
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 -0.640137267992425
+19 0 2 0 0 28 48 64 -0.730010487007548
+19 0 2 0 0 29 48 64 -0.807479557197463
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+19 0 2 0 0 36 48 64 -1.09405949796791
+19 0 2 0 0 37 48 64 -1.08886662704509
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+19 0 2 0 0 40 48 64 -1.00246670764823
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+19 0 2 0 0 42 48 64 -0.888560810827137
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+19 0 2 0 0 44 48 64 -0.738055343740684
+19 0 2 0 0 45 48 64 -0.650959135758312
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 -0.711013237643029
+20 0 2 0 0 28 48 64 -0.795585413887383
+20 0 2 0 0 29 48 64 -0.866323720755919
+20 0 2 0 0 30 48 64 -0.932213455619054
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+20 0 2 0 0 32 48 64 -1.02939865576537
+20 0 2 0 0 33 48 64 -1.06236543553739
+20 0 2 0 0 34 48 64 -1.08308199145076
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+20 0 2 0 0 36 48 64 -1.08976583490937
+20 0 2 0 0 37 48 64 -1.07626447544244
+20 0 2 0 0 38 48 64 -1.05092325743346
+20 0 2 0 0 39 48 64 -1.01274222790843
+20 0 2 0 0 40 48 64 -0.962660912712933
+20 0 2 0 0 41 48 64 -0.90271072558558
+20 0 2 0 0 42 48 64 -0.832937888042941
+20 0 2 0 0 43 48 64 -0.756148573388726
+20 0 2 0 0 44 48 64 -0.669500097009202
+20 0 2 0 0 45 48 64 -0.577770246248892
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0.277773191194456
+20 0 1 0 0 20 48 64 0.0501015598492435
+20 0 1 0 0 22 48 64 -0.178042715448314
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+20 0 1 0 0 32 48 64 -1.02939865576537
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+20 0 1 0 0 36 48 64 -1.08976583490937
+20 0 1 0 0 38 48 64 -1.05092325743346
+20 0 1 0 0 40 48 64 -0.962660912712933
+20 0 1 0 0 42 48 64 -0.832937888042941
+20 0 1 0 0 44 48 64 -0.669500097009202
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+20 0 1 0 0 48 48 64 -0.275777714557672
+20 0 1 0 0 50 48 64 -0.0606570679596032
+20 0 1 0 0 52 48 64 0.166153943325108
+20 0 1 0 0 54 48 64 0.383438793120254
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 0.904784859216365
+20 0 0 0 0 4 48 64 1.06753079109486
+20 0 0 0 0 8 48 64 1.04530839182195
+20 0 0 0 0 12 48 64 0.842444216544755
+20 0 0 0 0 16 48 64 0.492696597536367
+20 0 0 0 0 20 48 64 0.0501015598492435
+20 0 0 0 0 24 48 64 -0.407203100159591
+20 0 0 0 0 28 48 64 -0.795585413887383
+20 0 0 0 0 32 48 64 -1.02939865576537
+20 0 0 0 0 36 48 64 -1.08976583490937
+20 0 0 0 0 40 48 64 -0.962660912712933
+20 0 0 0 0 44 48 64 -0.669500097009202
+20 0 0 0 0 48 48 64 -0.275777714557672
+20 0 0 0 0 52 48 64 0.166153943325108
+20 0 0 0 0 56 48 64 0.584929330695849
+20 0 0 0 0 60 48 64 0.904784859216365
+20 0 0 0 0 64 48 64 1.06753079109486
+20 0 0 0 0 68 48 64 1.04530839182195
+20 0 0 0 0 72 48 64 0.842444216544755
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 -0.776241903979561
+21 0 2 0 0 28 48 64 -0.854908247739349
+21 0 2 0 0 29 48 64 -0.919022286356659
+21 0 2 0 0 30 48 64 -0.977066601494865
+21 0 2 0 0 31 48 64 -1.02211838375115
+21 0 2 0 0 32 48 64 -1.05624047598753
+21 0 2 0 0 33 48 64 -1.07965425878378
+21 0 2 0 0 34 48 64 -1.09086256814528
+21 0 2 0 0 35 48 64 -1.08983614806653
+21 0 2 0 0 36 48 64 -1.07833932664736
+21 0 2 0 0 37 48 64 -1.05647161066499
+21 0 2 0 0 38 48 64 -1.02232900800669
+21 0 2 0 0 39 48 64 -0.975024979775277
+21 0 2 0 0 40 48 64 -0.916734359362852
+21 0 2 0 0 41 48 64 -0.848984578899053
+21 0 2 0 0 42 48 64 -0.771930416585403
+21 0 2 0 0 43 48 64 -0.689105300883255
+21 0 2 0 0 44 48 64 -0.59738151227553
+21 0 2 0 0 45 48 64 -0.501606639160238
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 -0.836331819520709
+22 0 2 0 0 28 48 64 -0.908507134054746
+22 0 2 0 0 29 48 64 -0.965431549586992
+22 0 2 0 0 30 48 64 -1.01530131054606
+22 0 2 0 0 31 48 64 -1.05171405145446
+22 0 2 0 0 32 48 64 -1.07634703825911
+22 0 2 0 0 33 48 64 -1.08979540336651
+22 0 2 0 0 34 48 64 -1.09140361548349
+22 0 2 0 0 35 48 64 -1.08087094243266
+22 0 2 0 0 36 48 64 -1.06019640207751
+22 0 2 0 0 37 48 64 -1.02964098369865
+22 0 2 0 0 38 48 64 -0.986700005197803
+22 0 2 0 0 39 48 64 -0.930989062234003
+22 0 2 0 0 40 48 64 -0.865008692509845
+22 0 2 0 0 41 48 64 -0.789720451291828
+22 0 2 0 0 42 48 64 -0.706008929836807
+22 0 2 0 0 43 48 64 -0.617869169239007
+22 0 2 0 0 44 48 64 -0.521171505701695
+22 0 2 0 0 45 48 64 -0.421827360458886
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 0.104867884857549
+22 0 1 0 0 20 48 64 -0.12625393574105
+22 0 1 0 0 22 48 64 -0.35050982057755
+22 0 1 0 0 24 48 64 -0.565542829223125
+22 0 1 0 0 26 48 64 -0.753967018301896
+22 0 1 0 0 28 48 64 -0.908507134054746
+22 0 1 0 0 30 48 64 -1.01530131054606
+22 0 1 0 0 32 48 64 -1.07634703825911
+22 0 1 0 0 34 48 64 -1.09140361548349
+22 0 1 0 0 36 48 64 -1.06019640207751
+22 0 1 0 0 38 48 64 -0.986700005197803
+22 0 1 0 0 40 48 64 -0.865008692509845
+22 0 1 0 0 42 48 64 -0.706008929836807
+22 0 1 0 0 44 48 64 -0.521171505701695
+22 0 1 0 0 46 48 64 -0.318698570314562
+22 0 1 0 0 48 48 64 -0.102510314058045
+22 0 1 0 0 50 48 64 0.115256001315731
+22 0 1 0 0 52 48 64 0.335545827294586
+22 0 1 0 0 54 48 64 0.540190759260607
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 -0.890242689280127
+23 0 2 0 0 28 48 64 -0.955273524160975
+23 0 2 0 0 29 48 64 -1.0049664427752
+23 0 2 0 0 30 48 64 -1.04673470085012
+23 0 2 0 0 31 48 64 -1.0743888603131
+23 0 2 0 0 32 48 64 -1.08960383953782
+23 0 2 0 0 33 48 64 -1.09294750617491
+23 0 2 0 0 34 48 64 -1.08487452341173
+23 0 2 0 0 35 48 64 -1.06530902031705
+23 0 2 0 0 36 48 64 -1.03560727383042
+23 0 2 0 0 37 48 64 -0.995937187393384
+23 0 2 0 0 38 48 64 -0.944299260483691
+23 0 2 0 0 39 48 64 -0.880914842809452
+23 0 2 0 0 40 48 64 -0.807659631325291
+23 0 2 0 0 41 48 64 -0.725314246807932
+23 0 2 0 0 42 48 64 -0.635727433879246
+23 0 2 0 0 43 48 64 -0.542905497747599
+23 0 2 0 0 44 48 64 -0.442432804454184
+23 0 2 0 0 45 48 64 -0.340015144718605
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 -0.938304985948157
+24 0 2 0 0 28 48 64 -0.995576934282236
+24 0 2 0 0 29 48 64 -1.03757328615113
+24 0 2 0 0 30 48 64 -1.07094229186425
+24 0 2 0 0 31 48 64 -1.08986430089962
+24 0 2 0 0 32 48 64 -1.09576332427178
+24 0 2 0 0 33 48 64 -1.0891681040232
+24 0 2 0 0 34 48 64 -1.07146786969772
+24 0 2 0 0 35 48 64 -1.0432172363929
+24 0 2 0 0 36 48 64 -1.00461395249165
+24 0 2 0 0 37 48 64 -0.955522777450531
+24 0 2 0 0 38 48 64 -0.895385500793489
+24 0 2 0 0 39 48 64 -0.824895727672639
+24 0 2 0 0 40 48 64 -0.744810921699871
+24 0 2 0 0 41 48 64 -0.656168219518365
+24 0 2 0 0 42 48 64 -0.56149132390032
+24 0 2 0 0 43 48 64 -0.464740366286774
+24 0 2 0 0 44 48 64 -0.3606444994775
+24 0 2 0 0 45 48 64 -0.255531810423223
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 -0.075762465719573
+24 0 1 0 0 20 48 64 -0.303763416942258
+24 0 1 0 0 22 48 64 -0.513637828715537
+24 0 1 0 0 24 48 64 -0.709348037262636
+24 0 1 0 0 26 48 64 -0.870331663739775
+24 0 1 0 0 28 48 64 -0.995576934282236
+24 0 1 0 0 30 48 64 -1.07094229186425
+24 0 1 0 0 32 48 64 -1.09576332427178
+24 0 1 0 0 34 48 64 -1.07146786969772
+24 0 1 0 0 36 48 64 -1.00461395249165
+24 0 1 0 0 38 48 64 -0.895385500793489
+24 0 1 0 0 40 48 64 -0.744810921699871
+24 0 1 0 0 42 48 64 -0.56149132390032
+24 0 1 0 0 44 48 64 -0.3606444994775
+24 0 1 0 0 46 48 64 -0.147902320478624
+24 0 1 0 0 48 48 64 0.0738756481994813
+24 0 1 0 0 50 48 64 0.288206536047447
+24 0 1 0 0 52 48 64 0.500276975025029
+24 0 1 0 0 54 48 64 0.687077303361911
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 1.04551692325529
+24 0 0 0 0 4 48 64 1.06570186440976
+24 0 0 0 0 8 48 64 0.901131216303802
+24 0 0 0 0 12 48 64 0.580326739573927
+24 0 0 0 0 16 48 64 0.155407658786874
+24 0 0 0 0 20 48 64 -0.303763416942258
+24 0 0 0 0 24 48 64 -0.709348037262636
+24 0 0 0 0 28 48 64 -0.995576934282236
+24 0 0 0 0 32 48 64 -1.09576332427178
+24 0 0 0 0 36 48 64 -1.00461395249165
+24 0 0 0 0 40 48 64 -0.744810921699871
+24 0 0 0 0 44 48 64 -0.3606444994775
+24 0 0 0 0 48 48 64 0.0738756481994813
+24 0 0 0 0 52 48 64 0.500276975025029
+24 0 0 0 0 56 48 64 0.844919431017338
+24 0 0 0 0 60 48 64 1.04551692325529
+24 0 0 0 0 64 48 64 1.06570186440976
+24 0 0 0 0 68 48 64 0.901131216303802
+24 0 0 0 0 72 48 64 0.580326739573927
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/psi.yl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/psi.yl
new file mode 100644
index 000000000..da8893282
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/psi.yl
@@ -0,0 +1,1397 @@
+# SPACETIMETOY::psi y (psi)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0.656845143045702
+0 0 2 0 0 36 40 64 0.592575553741653
+0 0 2 0 0 36 41 64 0.525286335246206
+0 0 2 0 0 36 42 64 0.455320377992744
+0 0 2 0 0 36 43 64 0.3830342124618
+0 0 2 0 0 36 44 64 0.308796192383446
+0 0 2 0 0 36 45 64 0.232984617691126
+0 0 2 0 0 36 46 64 0.155985806791904
+0 0 2 0 0 36 47 64 0.0781921279764161
+0 0 2 0 0 36 48 64 -1.08122938250794e-16
+0 0 2 0 0 36 49 64 -0.0781921279764164
+0 0 2 0 0 36 50 64 -0.155985806791904
+0 0 2 0 0 36 51 64 -0.232984617691126
+0 0 2 0 0 36 52 64 -0.308796192383446
+0 0 2 0 0 36 53 64 -0.3830342124618
+0 0 2 0 0 36 54 64 -0.455320377992745
+0 0 2 0 0 36 55 64 -0.525286335246206
+0 0 2 0 0 36 56 64 -0.592575553741654
+0 0 2 0 0 36 57 64 -0.656845143045702
+0 0 2 0 0 36 58 64 -0.717767600063167
+0 0 2 0 0 36 59 64 -0.775032477917763
+0 0 2 0 0 36 60 64 -0.828347967918227
+0 0 2 0 0 36 61 64 -0.877442386548521
+0 0 2 0 0 36 62 64 -0.922065559904753
+0 0 2 0 0 36 63 64 -0.961990098524046
+0 0 2 0 0 36 64 64 -0.997012556109118
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 1.09606144155092
+0 0 1 0 0 36 28 64 1.08490511646603
+0 0 1 0 0 36 30 64 1.05166325181789
+0 0 1 0 0 36 32 64 0.997012556109118
+0 0 1 0 0 36 34 64 0.922065559904753
+0 0 1 0 0 36 36 64 0.828347967918227
+0 0 1 0 0 36 38 64 0.717767600063167
+0 0 1 0 0 36 40 64 0.592575553741653
+0 0 1 0 0 36 42 64 0.455320377992744
+0 0 1 0 0 36 44 64 0.308796192383446
+0 0 1 0 0 36 46 64 0.155985806791904
+0 0 1 0 0 36 48 64 -1.08122938250794e-16
+0 0 1 0 0 36 50 64 -0.155985806791904
+0 0 1 0 0 36 52 64 -0.308796192383446
+0 0 1 0 0 36 54 64 -0.455320377992745
+0 0 1 0 0 36 56 64 -0.592575553741654
+0 0 1 0 0 36 58 64 -0.717767600063167
+0 0 1 0 0 36 60 64 -0.828347967918227
+0 0 1 0 0 36 62 64 -0.922065559904753
+0 0 1 0 0 36 64 64 -0.997012556109118
+0 0 1 0 0 36 66 64 -1.05166325181789
+0 0 1 0 0 36 68 64 -1.08490511646603
+0 0 1 0 0 36 70 64 -1.09606144155092
+0 0 1 0 0 36 72 64 -1.08490511646603
+0 0 1 0 0 36 74 64 -1.05166325181789
+0 0 1 0 0 36 76 64 -0.997012556109113
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -0.308796192383456
+0 0 0 0 0 36 4 64 -1.057425492901e-14
+0 0 0 0 0 36 8 64 0.308796192383436
+0 0 0 0 0 36 12 64 0.592575553741645
+0 0 0 0 0 36 16 64 0.82834796791822
+0 0 0 0 0 36 20 64 0.997012556109113
+0 0 0 0 0 36 24 64 1.08490511646603
+0 0 0 0 0 36 28 64 1.08490511646603
+0 0 0 0 0 36 32 64 0.997012556109118
+0 0 0 0 0 36 36 64 0.828347967918227
+0 0 0 0 0 36 40 64 0.592575553741653
+0 0 0 0 0 36 44 64 0.308796192383446
+0 0 0 0 0 36 48 64 -1.08122938250794e-16
+0 0 0 0 0 36 52 64 -0.308796192383446
+0 0 0 0 0 36 56 64 -0.592575553741654
+0 0 0 0 0 36 60 64 -0.828347967918227
+0 0 0 0 0 36 64 64 -0.997012556109118
+0 0 0 0 0 36 68 64 -1.08490511646603
+0 0 0 0 0 36 72 64 -1.08490511646603
+0 0 0 0 0 36 76 64 -0.997012556109113
+0 0 0 0 0 36 80 64 -0.82834796791822
+0 0 0 0 0 36 84 64 -0.592575553741644
+0 0 0 0 0 36 88 64 -0.308796192383435
+0 0 0 0 0 36 92 64 1.10610039885355e-14
+0 0 0 0 0 36 96 64 0.308796192383456
+0 0 0 0 0 36 100 64 0.592575553741662
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 0.583120587183929
+1 0 2 0 0 36 40 64 0.515436394642718
+1 0 2 0 0 36 41 64 0.44418787551372
+1 0 2 0 0 36 42 64 0.372029729366075
+1 0 2 0 0 36 43 64 0.297532413658903
+1 0 2 0 0 36 44 64 0.221518940972259
+1 0 2 0 0 36 45 64 0.144376658539101
+1 0 2 0 0 36 46 64 0.0664986657481206
+1 0 2 0 0 36 47 64 -0.0117181890006519
+1 0 2 0 0 36 48 64 -0.0898753305443298
+1 0 2 0 0 36 49 64 -0.167574488004821
+1 0 2 0 0 36 50 64 -0.24441972428595
+1 0 2 0 0 36 51 64 -0.320019453678129
+1 0 2 0 0 36 52 64 -0.393988437289389
+1 0 2 0 0 36 53 64 -0.465949746134446
+1 0 2 0 0 36 54 64 -0.535536681878444
+1 0 2 0 0 36 55 64 -0.602394645447578
+1 0 2 0 0 36 56 64 -0.666182943984717
+1 0 2 0 0 36 57 64 -0.726576526942101
+1 0 2 0 0 36 58 64 -0.783267642464429
+1 0 2 0 0 36 59 64 -0.835967405621764
+1 0 2 0 0 36 60 64 -0.884407270500923
+1 0 2 0 0 36 61 64 -0.928340398653893
+1 0 2 0 0 36 62 64 -0.966798773212594
+1 0 2 0 0 36 63 64 -1.00155101318203
+1 0 2 0 0 36 64 64 -1.03076339166607
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 0.505174268872109
+2 0 2 0 0 36 40 64 0.434512228732396
+2 0 2 0 0 36 41 64 0.361072876357507
+2 0 2 0 0 36 42 64 0.28564941252187
+2 0 2 0 0 36 43 64 0.209985575837435
+2 0 2 0 0 36 44 64 0.132749496762552
+2 0 2 0 0 36 45 64 0.0547965123238513
+2 0 2 0 0 36 46 64 -0.0234357025811728
+2 0 2 0 0 36 47 64 -0.101548494517786
+2 0 2 0 0 36 48 64 -0.17914381860333
+2 0 2 0 0 36 49 64 -0.255826266852709
+2 0 2 0 0 36 50 64 -0.331205083086838
+2 0 2 0 0 36 51 64 -0.404896154136551
+2 0 2 0 0 36 52 64 -0.476523967195284
+2 0 2 0 0 36 53 64 -0.545723523346254
+2 0 2 0 0 36 54 64 -0.612142197513279
+2 0 2 0 0 36 55 64 -0.67544153535732
+2 0 2 0 0 36 56 64 -0.735298977962227
+2 0 2 0 0 36 57 64 -0.791409505521049
+2 0 2 0 0 36 58 64 -0.843487191647021
+2 0 2 0 0 36 59 64 -0.891266660388921
+2 0 2 0 0 36 60 64 -0.934519692037654
+2 0 2 0 0 36 61 64 -0.973003796161608
+2 0 2 0 0 36 62 64 -1.0045506889051
+2 0 2 0 0 36 63 64 -1.03451992494057
+2 0 2 0 0 36 64 64 -1.05769259356603
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 1.08130445787431
+2 0 1 0 0 36 28 64 1.04569139031301
+2 0 1 0 0 36 30 64 0.983932983116082
+2 0 1 0 0 36 32 64 0.909471327078798
+2 0 1 0 0 36 34 64 0.81319346695314
+2 0 1 0 0 36 36 64 0.700361332896626
+2 0 1 0 0 36 38 64 0.57327186177764
+2 0 1 0 0 36 40 64 0.434512228732396
+2 0 1 0 0 36 42 64 0.28564941252187
+2 0 1 0 0 36 44 64 0.132749496762552
+2 0 1 0 0 36 46 64 -0.0234357025811728
+2 0 1 0 0 36 48 64 -0.17914381860333
+2 0 1 0 0 36 50 64 -0.331205083086838
+2 0 1 0 0 36 52 64 -0.476523967195284
+2 0 1 0 0 36 54 64 -0.612142197513279
+2 0 1 0 0 36 56 64 -0.735298977962227
+2 0 1 0 0 36 58 64 -0.843487191647021
+2 0 1 0 0 36 60 64 -0.934519692037654
+2 0 1 0 0 36 62 64 -1.0045506889051
+2 0 1 0 0 36 64 64 -1.05769259356603
+2 0 1 0 0 36 66 64 -1.08775795691445
+2 0 1 0 0 36 68 64 -1.095679705095
+2 0 1 0 0 36 70 64 -1.08129657415917
+2 0 1 0 0 36 72 64 -1.0416639792826
+2 0 1 0 0 36 74 64 -0.988470450758333
+2 0 1 0 0 36 76 64 -0.911430217056324
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0.424362576534982
+3 0 2 0 0 36 40 64 0.351115921923907
+3 0 2 0 0 36 41 64 0.276161058163441
+3 0 2 0 0 36 42 64 0.19719543966338
+3 0 2 0 0 36 43 64 0.120854035827882
+3 0 2 0 0 36 44 64 0.0430756980876784
+3 0 2 0 0 36 45 64 -0.0351519797755034
+3 0 2 0 0 36 46 64 -0.113211075295965
+3 0 2 0 0 36 47 64 -0.190693273127017
+3 0 2 0 0 36 48 64 -0.267203741749021
+3 0 2 0 0 36 49 64 -0.342352601351651
+3 0 2 0 0 36 50 64 -0.415756910572029
+3 0 2 0 0 36 51 64 -0.487042617876141
+3 0 2 0 0 36 52 64 -0.555846467639715
+3 0 2 0 0 36 53 64 -0.621817851215604
+3 0 2 0 0 36 54 64 -0.684620593555101
+3 0 2 0 0 36 55 64 -0.743934666278919
+3 0 2 0 0 36 56 64 -0.799457818468468
+3 0 2 0 0 36 57 64 -0.850907116867221
+3 0 2 0 0 36 58 64 -0.898020387643782
+3 0 2 0 0 36 59 64 -0.940560639044644
+3 0 2 0 0 36 60 64 -0.978341221893092
+3 0 2 0 0 36 61 64 -1.01089226937393
+3 0 2 0 0 36 62 64 -1.035593978804
+3 0 2 0 0 36 63 64 -1.0594210695176
+3 0 2 0 0 36 64 64 -1.07747949791299
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0.340074029578732
+4 0 2 0 0 36 40 64 0.264809852246177
+4 0 2 0 0 36 41 64 0.189617123275508
+4 0 2 0 0 36 42 64 0.107755013200852
+4 0 2 0 0 36 43 64 0.0306808038494167
+4 0 2 0 0 36 44 64 -0.0469489350335604
+4 0 2 0 0 36 45 64 -0.124866104186262
+4 0 2 0 0 36 46 64 -0.20222234762728
+4 0 2 0 0 36 47 64 -0.278551637180119
+4 0 2 0 0 36 48 64 -0.353461530936081
+4 0 2 0 0 36 49 64 -0.426570265751022
+4 0 2 0 0 36 50 64 -0.497505296270349
+4 0 2 0 0 36 51 64 -0.5659051538383
+4 0 2 0 0 36 52 64 -0.631421288459354
+4 0 2 0 0 36 53 64 -0.693719844929132
+4 0 2 0 0 36 54 64 -0.752483364083956
+4 0 2 0 0 36 55 64 -0.807412400500037
+4 0 2 0 0 36 56 64 -0.858227048398643
+4 0 2 0 0 36 57 64 -0.904668382877863
+4 0 2 0 0 36 58 64 -0.946500650394612
+4 0 2 0 0 36 59 64 -0.983520138596346
+4 0 2 0 0 36 60 64 -1.01549922129386
+4 0 2 0 0 36 61 64 -1.0415288241038
+4 0 2 0 0 36 62 64 -1.06019964826252
+4 0 2 0 0 36 63 64 -1.07854411172737
+4 0 2 0 0 36 64 64 -1.09023099267228
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 1.03742145103008
+4 0 1 0 0 36 28 64 0.977750996051271
+4 0 1 0 0 36 30 64 0.890388799333057
+4 0 1 0 0 36 32 64 0.79643231463932
+4 0 1 0 0 36 34 64 0.682540493547305
+4 0 1 0 0 36 36 64 0.553655090626134
+4 0 1 0 0 36 38 64 0.413469862852437
+4 0 1 0 0 36 40 64 0.264809852246177
+4 0 1 0 0 36 42 64 0.107755013200852
+4 0 1 0 0 36 44 64 -0.0469489350335604
+4 0 1 0 0 36 46 64 -0.20222234762728
+4 0 1 0 0 36 48 64 -0.353461530936081
+4 0 1 0 0 36 50 64 -0.497505296270349
+4 0 1 0 0 36 52 64 -0.631421288459354
+4 0 1 0 0 36 54 64 -0.752483364083956
+4 0 1 0 0 36 56 64 -0.858227048398643
+4 0 1 0 0 36 58 64 -0.946500650394612
+4 0 1 0 0 36 60 64 -1.01549922129386
+4 0 1 0 0 36 62 64 -1.06019964826252
+4 0 1 0 0 36 64 64 -1.09023099267228
+4 0 1 0 0 36 66 64 -1.0947654624423
+4 0 1 0 0 36 68 64 -1.07708038801714
+4 0 1 0 0 36 70 64 -1.03629174578246
+4 0 1 0 0 36 72 64 -0.971267135005418
+4 0 1 0 0 36 74 64 -0.897876570226195
+4 0 1 0 0 36 76 64 -0.799999299865244
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 0.0398602838005638
+4 0 0 0 0 36 4 64 0.346204677567762
+4 0 0 0 0 36 8 64 0.624501627316911
+4 0 0 0 0 36 12 64 0.852205169275038
+4 0 0 0 0 36 16 64 1.0108681166778
+4 0 0 0 0 36 20 64 1.08763654113149
+4 0 0 0 0 36 24 64 1.07629112144629
+4 0 0 0 0 36 28 64 0.977750996051271
+4 0 0 0 0 36 32 64 0.79643231463932
+4 0 0 0 0 36 36 64 0.553655090626134
+4 0 0 0 0 36 40 64 0.264809852246177
+4 0 0 0 0 36 44 64 -0.0469489350335604
+4 0 0 0 0 36 48 64 -0.353461530936081
+4 0 0 0 0 36 52 64 -0.631421288459354
+4 0 0 0 0 36 56 64 -0.858227048398643
+4 0 0 0 0 36 60 64 -1.01549922129386
+4 0 0 0 0 36 64 64 -1.09023099267228
+4 0 0 0 0 36 68 64 -1.07708038801714
+4 0 0 0 0 36 72 64 -0.971267135005418
+4 0 0 0 0 36 76 64 -0.799999299865244
+4 0 0 0 0 36 80 64 -0.55743641818317
+4 0 0 0 0 36 84 64 -0.269713353101925
+4 0 0 0 0 36 88 64 0.0398602838005638
+4 0 0 0 0 36 92 64 0.346204677567762
+4 0 0 0 0 36 96 64 0.624501627316911
+4 0 0 0 0 36 100 64 0.852205169275038
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0.254083341073024
+5 0 2 0 0 36 40 64 0.177121356424162
+5 0 2 0 0 36 41 64 0.101477062524801
+5 0 2 0 0 36 42 64 0.0183075246405245
+5 0 2 0 0 36 43 64 -0.0597869535593013
+5 0 2 0 0 36 44 64 -0.136789543049261
+5 0 2 0 0 36 45 64 -0.213759699663538
+5 0 2 0 0 36 46 64 -0.289870724498443
+5 0 2 0 0 36 47 64 -0.364531397331775
+5 0 2 0 0 36 48 64 -0.437335771461554
+5 0 2 0 0 36 49 64 -0.507911602917363
+5 0 2 0 0 36 50 64 -0.575899233268461
+5 0 2 0 0 36 51 64 -0.640952213134735
+5 0 2 0 0 36 52 64 -0.702739047442265
+5 0 2 0 0 36 53 64 -0.760944884646233
+5 0 2 0 0 36 54 64 -0.815273121142216
+5 0 2 0 0 36 55 64 -0.865446912690174
+5 0 2 0 0 36 56 64 -0.91121059188758
+5 0 2 0 0 36 57 64 -0.952331265624515
+5 0 2 0 0 36 58 64 -0.988603032678383
+5 0 2 0 0 36 59 64 -1.01983681221673
+5 0 2 0 0 36 60 64 -1.04561008407556
+5 0 2 0 0 36 61 64 -1.06489762864789
+5 0 2 0 0 36 62 64 -1.07805387953015
+5 0 2 0 0 36 63 64 -1.08940477790998
+5 0 2 0 0 36 64 64 -1.09545738252599
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0.165584786128243
+6 0 2 0 0 36 40 64 0.0875413222162097
+6 0 2 0 0 36 41 64 0.0120548846610383
+6 0 2 0 0 36 42 64 -0.070684182378114
+6 0 2 0 0 36 43 64 -0.149632807064227
+6 0 2 0 0 36 44 64 -0.225861246784794
+6 0 2 0 0 36 45 64 -0.301273995790801
+6 0 2 0 0 36 46 64 -0.375572223702753
+6 0 2 0 0 36 47 64 -0.448053438565401
+6 0 2 0 0 36 48 64 -0.518261143422427
+6 0 2 0 0 36 49 64 -0.585828362929571
+6 0 2 0 0 36 50 64 -0.650410344165362
+6 0 2 0 0 36 51 64 -0.711677983503782
+6 0 2 0 0 36 52 64 -0.769319074880622
+6 0 2 0 0 36 53 64 -0.823039892682254
+6 0 2 0 0 36 54 64 -0.872566687778875
+6 0 2 0 0 36 55 64 -0.917647085851877
+6 0 2 0 0 36 56 64 -0.958051472213991
+6 0 2 0 0 36 57 64 -0.993575339722356
+6 0 2 0 0 36 58 64 -1.02403986488058
+6 0 2 0 0 36 59 64 -1.04920304453796
+6 0 2 0 0 36 60 64 -1.06838208742648
+6 0 2 0 0 36 61 64 -1.08104959398518
+6 0 2 0 0 36 62 64 -1.08909284043197
+6 0 2 0 0 36 63 64 -1.09416785328548
+6 0 2 0 0 36 64 64 -1.09332189924674
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0.968274383856878
+6 0 1 0 0 36 28 64 0.886458529162271
+6 0 1 0 0 36 30 64 0.774233575120842
+6 0 1 0 0 36 32 64 0.661048266771149
+6 0 1 0 0 36 34 64 0.533307143769617
+6 0 1 0 0 36 36 64 0.39214698117745
+6 0 1 0 0 36 38 64 0.242599594742271
+6 0 1 0 0 36 40 64 0.0875413222162097
+6 0 1 0 0 36 42 64 -0.070684182378114
+6 0 1 0 0 36 44 64 -0.225861246784794
+6 0 1 0 0 36 46 64 -0.375572223702753
+6 0 1 0 0 36 48 64 -0.518261143422427
+6 0 1 0 0 36 50 64 -0.650410344165362
+6 0 1 0 0 36 52 64 -0.769319074880622
+6 0 1 0 0 36 54 64 -0.872566687778875
+6 0 1 0 0 36 56 64 -0.958051472213991
+6 0 1 0 0 36 58 64 -1.02403986488058
+6 0 1 0 0 36 60 64 -1.06838208742648
+6 0 1 0 0 36 62 64 -1.08909284043197
+6 0 1 0 0 36 64 64 -1.09332189924674
+6 0 1 0 0 36 66 64 -1.07249709569875
+6 0 1 0 0 36 68 64 -1.02928837474422
+6 0 1 0 0 36 70 64 -0.962484941282315
+6 0 1 0 0 36 72 64 -0.876265622597492
+6 0 1 0 0 36 74 64 -0.782563042121261
+6 0 1 0 0 36 76 64 -0.670386882396399
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 0.0765940688756819
+7 0 2 0 0 36 40 64 -0.00201337793235886
+7 0 2 0 0 36 41 64 -0.0779084659104305
+7 0 2 0 0 36 42 64 -0.159062555513831
+7 0 2 0 0 36 43 64 -0.237987660767389
+7 0 2 0 0 36 44 64 -0.313462722648976
+7 0 2 0 0 36 45 64 -0.386863540895607
+7 0 2 0 0 36 46 64 -0.45876832464219
+7 0 2 0 0 36 47 64 -0.528557491284105
+7 0 2 0 0 36 48 64 -0.595692527822168
+7 0 2 0 0 36 49 64 -0.659795566294663
+7 0 2 0 0 36 50 64 -0.720536601307405
+7 0 2 0 0 36 51 64 -0.777605951928216
+7 0 2 0 0 36 52 64 -0.83071279966412
+7 0 2 0 0 36 53 64 -0.879586526595642
+7 0 2 0 0 36 54 64 -0.923978082125309
+7 0 2 0 0 36 55 64 -0.963661296000211
+7 0 2 0 0 36 56 64 -0.998434467414606
+7 0 2 0 0 36 57 64 -1.02812232386608
+7 0 2 0 0 36 58 64 -1.05254887768556
+7 0 2 0 0 36 59 64 -1.07132872981168
+7 0 2 0 0 36 60 64 -1.08370593878566
+7 0 2 0 0 36 61 64 -1.09025453355927
+7 0 2 0 0 36 62 64 -1.09288004476072
+7 0 2 0 0 36 63 64 -1.09111718601489
+7 0 2 0 0 36 64 64 -1.08384937076142
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 -0.0135767619752942
+8 0 2 0 0 36 40 64 -0.0921817015033173
+8 0 2 0 0 36 41 64 -0.167532113494398
+8 0 2 0 0 36 42 64 -0.246714164963242
+8 0 2 0 0 36 43 64 -0.324244160456331
+8 0 2 0 0 36 44 64 -0.3987984163102
+8 0 2 0 0 36 45 64 -0.469956150770454
+8 0 2 0 0 36 46 64 -0.538930944758605
+8 0 2 0 0 36 47 64 -0.605510343694286
+8 0 2 0 0 36 48 64 -0.669110109640005
+8 0 2 0 0 36 49 64 -0.729315848668497
+8 0 2 0 0 36 50 64 -0.785806443386053
+8 0 2 0 0 36 51 64 -0.838292813373012
+8 0 2 0 0 36 52 64 -0.886507432429237
+8 0 2 0 0 36 53 64 -0.930204617548742
+8 0 2 0 0 36 54 64 -0.969161702460287
+8 0 2 0 0 36 55 64 -1.00318037277288
+8 0 2 0 0 36 56 64 -1.03208831508533
+8 0 2 0 0 36 57 64 -1.055732263672
+8 0 2 0 0 36 58 64 -1.07388590452508
+8 0 2 0 0 36 59 64 -1.08599945006836
+8 0 2 0 0 36 60 64 -1.09167613396142
+8 0 2 0 0 36 61 64 -1.09248950572851
+8 0 2 0 0 36 62 64 -1.08939792936404
+8 0 2 0 0 36 63 64 -1.08128104272257
+8 0 2 0 0 36 64 64 -1.06703152109439
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0.872073477241818
+8 0 1 0 0 36 28 64 0.770022457818857
+8 0 1 0 0 36 30 64 0.640199476959626
+8 0 1 0 0 36 32 64 0.507205150643701
+8 0 1 0 0 36 34 64 0.369104861972193
+8 0 1 0 0 36 36 64 0.220052387320578
+8 0 1 0 0 36 38 64 0.0650961971162231
+8 0 1 0 0 36 40 64 -0.0921817015033173
+8 0 1 0 0 36 42 64 -0.246714164963242
+8 0 1 0 0 36 44 64 -0.3987984163102
+8 0 1 0 0 36 46 64 -0.538930944758605
+8 0 1 0 0 36 48 64 -0.669110109640005
+8 0 1 0 0 36 50 64 -0.785806443386053
+8 0 1 0 0 36 52 64 -0.886507432429237
+8 0 1 0 0 36 54 64 -0.969161702460287
+8 0 1 0 0 36 56 64 -1.03208831508533
+8 0 1 0 0 36 58 64 -1.07388590452508
+8 0 1 0 0 36 60 64 -1.09167613396142
+8 0 1 0 0 36 62 64 -1.08939792936404
+8 0 1 0 0 36 64 64 -1.06703152109439
+8 0 1 0 0 36 66 64 -1.0213681828895
+8 0 1 0 0 36 68 64 -0.953206104382848
+8 0 1 0 0 36 70 64 -0.862297053509291
+8 0 1 0 0 36 72 64 -0.760146849019866
+8 0 1 0 0 36 74 64 -0.648974764885408
+8 0 1 0 0 36 76 64 -0.520037272029615
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 0.383407761260651
+8 0 0 0 0 36 4 64 0.655466527169888
+8 0 0 0 0 36 8 64 0.874423293257369
+8 0 0 0 0 36 12 64 1.0225394845207
+8 0 0 0 0 36 16 64 1.08781560802463
+8 0 0 0 0 36 20 64 1.06496338045493
+8 0 0 0 0 36 24 64 0.955932665094276
+8 0 0 0 0 36 28 64 0.770022457818857
+8 0 0 0 0 36 32 64 0.507205150643701
+8 0 0 0 0 36 36 64 0.220052387320578
+8 0 0 0 0 36 40 64 -0.0921817015033173
+8 0 0 0 0 36 44 64 -0.3987984163102
+8 0 0 0 0 36 48 64 -0.669110109640005
+8 0 0 0 0 36 52 64 -0.886507432429237
+8 0 0 0 0 36 56 64 -1.03208831508533
+8 0 0 0 0 36 60 64 -1.09167613396142
+8 0 0 0 0 36 64 64 -1.06703152109439
+8 0 0 0 0 36 68 64 -0.953206104382848
+8 0 0 0 0 36 72 64 -0.760146849019866
+8 0 0 0 0 36 76 64 -0.520037272029615
+8 0 0 0 0 36 80 64 -0.229368376208879
+8 0 0 0 0 36 84 64 0.0802875787478222
+8 0 0 0 0 36 88 64 0.383407761260651
+8 0 0 0 0 36 92 64 0.655466527169888
+8 0 0 0 0 36 96 64 0.874423293257369
+8 0 0 0 0 36 100 64 1.0225394845207
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 -0.102977639811365
+9 0 2 0 0 36 40 64 -0.180995159009961
+9 0 2 0 0 36 41 64 -0.255816744096076
+9 0 2 0 0 36 42 64 -0.333231972390678
+9 0 2 0 0 36 43 64 -0.408085248279394
+9 0 2 0 0 36 44 64 -0.481099821869049
+9 0 2 0 0 36 45 64 -0.549919884190769
+9 0 2 0 0 36 46 64 -0.615552863496638
+9 0 2 0 0 36 47 64 -0.678414938207651
+9 0 2 0 0 36 48 64 -0.738026527637906
+9 0 2 0 0 36 49 64 -0.793924889533409
+9 0 2 0 0 36 50 64 -0.845783709166155
+9 0 2 0 0 36 51 64 -0.893333086626041
+9 0 2 0 0 36 52 64 -0.936330262181486
+9 0 2 0 0 36 53 64 -0.974556122284512
+9 0 2 0 0 36 54 64 -1.00781594185746
+9 0 2 0 0 36 55 64 -1.03594073536613
+9 0 2 0 0 36 56 64 -1.05878622527759
+9 0 2 0 0 36 57 64 -1.07619697179874
+9 0 2 0 0 36 58 64 -1.08783958927422
+9 0 2 0 0 36 59 64 -1.09314520381862
+9 0 2 0 0 36 60 64 -1.09248289679075
+9 0 2 0 0 36 61 64 -1.08773917971622
+9 0 2 0 0 36 62 64 -1.07838329644887
+9 0 2 0 0 36 63 64 -1.06378109398334
+9 0 2 0 0 36 64 64 -1.04321234856099
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 -0.192264288978763
+10 0 2 0 0 36 40 64 -0.269109913614524
+10 0 2 0 0 36 41 64 -0.342144654250337
+10 0 2 0 0 36 42 64 -0.417869976910754
+10 0 2 0 0 36 43 64 -0.489322203273869
+10 0 2 0 0 36 44 64 -0.559765445954387
+10 0 2 0 0 36 45 64 -0.626077442234011
+10 0 2 0 0 36 46 64 -0.688124910061806
+10 0 2 0 0 36 47 64 -0.746814491876877
+10 0 2 0 0 36 48 64 -0.801995341518699
+10 0 2 0 0 36 49 64 -0.853197604216738
+10 0 2 0 0 36 50 64 -0.90007276445263
+10 0 2 0 0 36 51 64 -0.942363731428697
+10 0 2 0 0 36 52 64 -0.979852817573251
+10 0 2 0 0 36 53 64 -1.01234882424599
+10 0 2 0 0 36 54 64 -1.03968638976212
+10 0 2 0 0 36 55 64 -1.06172630803765
+10 0 2 0 0 36 56 64 -1.07834302676552
+10 0 2 0 0 36 57 64 -1.08933784408287
+10 0 2 0 0 36 58 64 -1.09427109650562
+10 0 2 0 0 36 59 64 -1.09285627459581
+10 0 2 0 0 36 60 64 -1.08628190900062
+10 0 2 0 0 36 61 64 -1.07573681897032
+10 0 2 0 0 36 62 64 -1.06015440494678
+10 0 2 0 0 36 63 64 -1.03949810583752
+10 0 2 0 0 36 64 64 -1.0122771870561
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0.755651493644285
+10 0 1 0 0 36 28 64 0.635686935013936
+10 0 1 0 0 36 30 64 0.490952326154613
+10 0 1 0 0 36 32 64 0.340738246198658
+10 0 1 0 0 36 34 64 0.194187029277438
+10 0 1 0 0 36 36 64 0.0417119850105291
+10 0 1 0 0 36 38 64 -0.114370544529182
+10 0 1 0 0 36 40 64 -0.269109913614524
+10 0 1 0 0 36 42 64 -0.417869976910754
+10 0 1 0 0 36 44 64 -0.559765445954387
+10 0 1 0 0 36 46 64 -0.688124910061806
+10 0 1 0 0 36 48 64 -0.801995341518699
+10 0 1 0 0 36 50 64 -0.90007276445263
+10 0 1 0 0 36 52 64 -0.979852817573251
+10 0 1 0 0 36 54 64 -1.03968638976212
+10 0 1 0 0 36 56 64 -1.07834302676552
+10 0 1 0 0 36 58 64 -1.09427109650562
+10 0 1 0 0 36 60 64 -1.08628190900062
+10 0 1 0 0 36 62 64 -1.06015440494678
+10 0 1 0 0 36 64 64 -1.0122771870561
+10 0 1 0 0 36 66 64 -0.942461110247602
+10 0 1 0 0 36 68 64 -0.850777896808868
+10 0 1 0 0 36 70 64 -0.74004370464539
+10 0 1 0 0 36 72 64 -0.625196649929911
+10 0 1 0 0 36 74 64 -0.498744267374174
+10 0 1 0 0 36 76 64 -0.359772480976565
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 -0.279615564227028
+11 0 2 0 0 36 40 64 -0.354850104849088
+11 0 2 0 0 36 41 64 -0.425901846197938
+11 0 2 0 0 36 42 64 -0.499767869696755
+11 0 2 0 0 36 43 64 -0.567672375962788
+11 0 2 0 0 36 44 64 -0.634419484650226
+11 0 2 0 0 36 45 64 -0.697776036414467
+11 0 2 0 0 36 46 64 -0.756114669067064
+11 0 2 0 0 36 47 64 -0.81028400529687
+11 0 2 0 0 36 48 64 -0.860616104966175
+11 0 2 0 0 36 49 64 -0.906752563615075
+11 0 2 0 0 36 50 64 -0.94832121489047
+11 0 2 0 0 36 51 64 -0.985066090736311
+11 0 2 0 0 36 52 64 -1.01679225647859
+11 0 2 0 0 36 53 64 -1.04333722279065
+11 0 2 0 0 36 54 64 -1.0645659337533
+11 0 2 0 0 36 55 64 -1.08036603698009
+11 0 2 0 0 36 56 64 -1.09060862050876
+11 0 2 0 0 36 57 64 -1.0950154331326
+11 0 2 0 0 36 58 64 -1.09315599044796
+11 0 2 0 0 36 59 64 -1.08532866135251
+11 0 2 0 0 36 60 64 -1.07310621415042
+11 0 2 0 0 36 61 64 -1.05648577877925
+11 0 2 0 0 36 62 64 -1.03464560424734
+11 0 2 0 0 36 63 64 -1.00766735082332
+11 0 2 0 0 36 64 64 -0.974737775288421
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 -0.365768816552957
+12 0 2 0 0 36 40 64 -0.438774352869625
+12 0 2 0 0 36 41 64 -0.506812604637858
+12 0 2 0 0 36 42 64 -0.578094183096637
+12 0 2 0 0 36 43 64 -0.64263404919049
+12 0 2 0 0 36 44 64 -0.704844955816218
+12 0 2 0 0 36 45 64 -0.764476762416641
+12 0 2 0 0 36 46 64 -0.818965811274022
+12 0 2 0 0 36 47 64 -0.868406290603905
+12 0 2 0 0 36 48 64 -0.913528280919116
+12 0 2 0 0 36 49 64 -0.954250170965646
+12 0 2 0 0 36 50 64 -0.990216551384048
+12 0 2 0 0 36 51 64 -1.02116153520865
+12 0 2 0 0 36 52 64 -1.04690655184589
+12 0 2 0 0 36 53 64 -1.06731731383163
+12 0 2 0 0 36 54 64 -1.08228835882153
+12 0 2 0 0 36 55 64 -1.0917241810281
+12 0 2 0 0 36 56 64 -1.09546062114669
+12 0 2 0 0 36 57 64 -1.09315022252939
+12 0 2 0 0 36 58 64 -1.08459560120942
+12 0 2 0 0 36 59 64 -1.07076304617462
+12 0 2 0 0 36 60 64 -1.05290019645933
+12 0 2 0 0 36 61 64 -1.02993462346185
+12 0 2 0 0 36 62 64 -1.00229168922288
+12 0 2 0 0 36 63 64 -0.96952903729154
+12 0 2 0 0 36 64 64 -0.930423533688392
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0.615773665363716
+12 0 1 0 0 36 28 64 0.481037243083205
+12 0 1 0 0 36 30 64 0.329574466170479
+12 0 1 0 0 36 32 64 0.166891267515691
+12 0 1 0 0 36 34 64 0.0136749748343753
+12 0 1 0 0 36 36 64 -0.138414099488034
+12 0 1 0 0 36 38 64 -0.290994551396113
+12 0 1 0 0 36 40 64 -0.438774352869625
+12 0 1 0 0 36 42 64 -0.578094183096637
+12 0 1 0 0 36 44 64 -0.704844955816218
+12 0 1 0 0 36 46 64 -0.818965811274022
+12 0 1 0 0 36 48 64 -0.913528280919116
+12 0 1 0 0 36 50 64 -0.990216551384048
+12 0 1 0 0 36 52 64 -1.04690655184589
+12 0 1 0 0 36 54 64 -1.08228835882153
+12 0 1 0 0 36 56 64 -1.09546062114669
+12 0 1 0 0 36 58 64 -1.08459560120942
+12 0 1 0 0 36 60 64 -1.05290019645933
+12 0 1 0 0 36 62 64 -1.00229168922288
+12 0 1 0 0 36 64 64 -0.930423533688392
+12 0 1 0 0 36 66 64 -0.837677512674021
+12 0 1 0 0 36 68 64 -0.725235857516817
+12 0 1 0 0 36 70 64 -0.599692644869491
+12 0 1 0 0 36 72 64 -0.474316504986624
+12 0 1 0 0 36 74 64 -0.335659409966839
+12 0 1 0 0 36 76 64 -0.185985171833357
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 0.686152983404309
+12 0 0 0 0 36 4 64 0.895744051667829
+12 0 0 0 0 36 8 64 1.03276726406024
+12 0 0 0 0 36 12 64 1.08612181482189
+12 0 0 0 0 36 16 64 1.05148523556183
+12 0 0 0 0 36 20 64 0.931684720484116
+12 0 0 0 0 36 24 64 0.736708722896749
+12 0 0 0 0 36 28 64 0.481037243083205
+12 0 0 0 0 36 32 64 0.166891267515691
+12 0 0 0 0 36 36 64 -0.138414099488034
+12 0 0 0 0 36 40 64 -0.438774352869625
+12 0 0 0 0 36 44 64 -0.704844955816218
+12 0 0 0 0 36 48 64 -0.913528280919116
+12 0 0 0 0 36 52 64 -1.04690655184589
+12 0 0 0 0 36 56 64 -1.09546062114669
+12 0 0 0 0 36 60 64 -1.05290019645933
+12 0 0 0 0 36 64 64 -0.930423533688392
+12 0 0 0 0 36 68 64 -0.725235857516817
+12 0 0 0 0 36 72 64 -0.474316504986624
+12 0 0 0 0 36 76 64 -0.185985171833357
+12 0 0 0 0 36 80 64 0.121771727983934
+12 0 0 0 0 36 84 64 0.420972375454252
+12 0 0 0 0 36 88 64 0.686152983404309
+12 0 0 0 0 36 92 64 0.895744051667829
+12 0 0 0 0 36 96 64 1.03276726406024
+12 0 0 0 0 36 100 64 1.08612181482189
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 -0.448923055569867
+13 0 2 0 0 36 40 64 -0.519292884458437
+13 0 2 0 0 36 41 64 -0.584320458187365
+13 0 2 0 0 36 42 64 -0.652286398666174
+13 0 2 0 0 36 43 64 -0.713498721480839
+13 0 2 0 0 36 44 64 -0.770826049393039
+13 0 2 0 0 36 45 64 -0.825804190314863
+13 0 2 0 0 36 46 64 -0.876127904452971
+13 0 2 0 0 36 47 64 -0.92074108625514
+13 0 2 0 0 36 48 64 -0.960389014311629
+13 0 2 0 0 36 49 64 -0.995381260780372
+13 0 2 0 0 36 50 64 -1.02547538400864
+13 0 2 0 0 36 51 64 -1.05039981787332
+13 0 2 0 0 36 52 64 -1.06998270254917
+13 0 2 0 0 36 53 64 -1.08411457877108
+13 0 2 0 0 36 54 64 -1.09271484860266
+13 0 2 0 0 36 55 64 -1.09568525642739
+13 0 2 0 0 36 56 64 -1.09280251193782
+13 0 2 0 0 36 57 64 -1.08374443294146
+13 0 2 0 0 36 58 64 -1.0687805437173
+13 0 2 0 0 36 59 64 -1.04928302572683
+13 0 2 0 0 36 60 64 -1.02559735732237
+13 0 2 0 0 36 61 64 -0.99638297990854
+13 0 2 0 0 36 62 64 -0.963086787506857
+13 0 2 0 0 36 63 64 -0.924378013587919
+13 0 2 0 0 36 64 64 -0.880045559810142
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 -0.529767627281131
+14 0 2 0 0 36 40 64 -0.596935624021424
+14 0 2 0 0 36 41 64 -0.658088225478317
+14 0 2 0 0 36 42 64 -0.721874201735461
+14 0 2 0 0 36 43 64 -0.779486643089803
+14 0 2 0 0 36 44 64 -0.831987706524744
+14 0 2 0 0 36 45 64 -0.881512174855756
+14 0 2 0 0 36 46 64 -0.927107725384786
+14 0 2 0 0 36 47 64 -0.966808304386545
+14 0 2 0 0 36 48 64 -1.00084076277153
+14 0 2 0 0 36 49 64 -1.02984860424951
+14 0 2 0 0 36 50 64 -1.05383003067293
+14 0 2 0 0 36 51 64 -1.07254578456429
+14 0 2 0 0 36 52 64 -1.08582359960566
+14 0 2 0 0 36 53 64 -1.09357071045279
+14 0 2 0 0 36 54 64 -1.09571947677544
+14 0 2 0 0 36 55 64 -1.09214346134378
+14 0 2 0 0 36 56 64 -1.082574888094
+14 0 2 0 0 36 57 64 -1.06689165635194
+14 0 2 0 0 36 58 64 -1.04592108613417
+14 0 2 0 0 36 59 64 -1.02091381566884
+14 0 2 0 0 36 60 64 -0.991225165278567
+14 0 2 0 0 36 61 64 -0.955996244851229
+14 0 2 0 0 36 62 64 -0.917467314252494
+14 0 2 0 0 36 63 64 -0.873341068033811
+14 0 2 0 0 36 64 64 -0.823366821135628
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0.463461994668502
+14 0 1 0 0 36 28 64 0.317004617675013
+14 0 1 0 0 36 30 64 0.15905934241932
+14 0 1 0 0 36 32 64 -0.0092292494666101
+14 0 1 0 0 36 34 64 -0.166722253576686
+14 0 1 0 0 36 36 64 -0.315580139869799
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+14 0 1 0 0 36 40 64 -0.596935624021424
+14 0 1 0 0 36 42 64 -0.721874201735461
+14 0 1 0 0 36 44 64 -0.831987706524744
+14 0 1 0 0 36 46 64 -0.927107725384786
+14 0 1 0 0 36 48 64 -1.00084076277153
+14 0 1 0 0 36 50 64 -1.05383003067293
+14 0 1 0 0 36 52 64 -1.08582359960566
+14 0 1 0 0 36 54 64 -1.09571947677544
+14 0 1 0 0 36 56 64 -1.082574888094
+14 0 1 0 0 36 58 64 -1.04592108613417
+14 0 1 0 0 36 60 64 -0.991225165278567
+14 0 1 0 0 36 62 64 -0.917467314252494
+14 0 1 0 0 36 64 64 -0.823366821135628
+14 0 1 0 0 36 66 64 -0.709883416596452
+14 0 1 0 0 36 68 64 -0.580822625293471
+14 0 1 0 0 36 70 64 -0.445237243773246
+14 0 1 0 0 36 72 64 -0.310928936852095
+14 0 1 0 0 36 74 64 -0.165513099526788
+14 0 1 0 0 36 76 64 -0.0120378055323825
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 -0.606573584705471
+15 0 2 0 0 36 40 64 -0.670068466296124
+15 0 2 0 0 36 41 64 -0.727382096280869
+15 0 2 0 0 36 42 64 -0.786559477238529
+15 0 2 0 0 36 43 64 -0.839900451444789
+15 0 2 0 0 36 44 64 -0.887737436847485
+15 0 2 0 0 36 45 64 -0.931374829023777
+15 0 2 0 0 36 46 64 -0.971515949234558
+15 0 2 0 0 36 47 64 -1.00610922113214
+15 0 2 0 0 36 48 64 -1.0344895321211
+15 0 2 0 0 36 49 64 -1.05735223149499
+15 0 2 0 0 36 50 64 -1.07502379336156
+15 0 2 0 0 36 51 64 -1.08737693479652
+15 0 2 0 0 36 52 64 -1.09424573191421
+15 0 2 0 0 36 53 64 -1.09554087439168
+15 0 2 0 0 36 54 64 -1.09118677313618
+15 0 2 0 0 36 55 64 -1.08101196368392
+15 0 2 0 0 36 56 64 -1.06478386878553
+15 0 2 0 0 36 57 64 -1.04276811823523
+15 0 2 0 0 36 58 64 -1.01618574284015
+15 0 2 0 0 36 59 64 -0.985643809945143
+15 0 2 0 0 36 60 64 -0.949949579722395
+15 0 2 0 0 36 61 64 -0.909179216297948
+15 0 2 0 0 36 62 64 -0.865505680297527
+15 0 2 0 0 36 63 64 -0.816081853059001
+15 0 2 0 0 36 64 64 -0.761361760318067
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 -0.679928260214783
+16 0 2 0 0 36 40 64 -0.739236113036692
+16 0 2 0 0 36 41 64 -0.791839888078921
+16 0 2 0 0 36 42 64 -0.8458958308688
+16 0 2 0 0 36 43 64 -0.894238772379204
+16 0 2 0 0 36 44 64 -0.937358140217086
+16 0 2 0 0 36 45 64 -0.975075100659619
+16 0 2 0 0 36 46 64 -1.00908297146752
+16 0 2 0 0 36 47 64 -1.03819382031077
+16 0 2 0 0 36 48 64 -1.06092098400655
+16 0 2 0 0 36 49 64 -1.0775943329635
+16 0 2 0 0 36 50 64 -1.08882691315551
+16 0 2 0 0 36 51 64 -1.09470438864382
+16 0 2 0 0 36 52 64 -1.09509999881199
+16 0 2 0 0 36 53 64 -1.08991338505413
+16 0 2 0 0 36 54 64 -1.07903498123916
+16 0 2 0 0 36 55 64 -1.06226299347372
+16 0 2 0 0 36 56 64 -1.03954156669008
+16 0 2 0 0 36 57 64 -1.01161236320436
+16 0 2 0 0 36 58 64 -0.979694253293418
+16 0 2 0 0 36 59 64 -0.943534242337249
+16 0 2 0 0 36 60 64 -0.902089563522508
+16 0 2 0 0 36 61 64 -0.856145317989204
+16 0 2 0 0 36 62 64 -0.807728224995654
+16 0 2 0 0 36 63 64 -0.753415513935661
+16 0 2 0 0 36 64 64 -0.693705563139719
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0.294119513703523
+16 0 1 0 0 36 28 64 0.139945313573242
+16 0 1 0 0 36 30 64 -0.016673201447572
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+16 0 1 0 0 36 34 64 -0.341330667765231
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+16 0 1 0 0 36 40 64 -0.739236113036692
+16 0 1 0 0 36 42 64 -0.8458958308688
+16 0 1 0 0 36 44 64 -0.937358140217086
+16 0 1 0 0 36 46 64 -1.00908297146752
+16 0 1 0 0 36 48 64 -1.06092098400655
+16 0 1 0 0 36 50 64 -1.08882691315551
+16 0 1 0 0 36 52 64 -1.09509999881199
+16 0 1 0 0 36 54 64 -1.07903498123916
+16 0 1 0 0 36 56 64 -1.03954156669008
+16 0 1 0 0 36 58 64 -0.979694253293418
+16 0 1 0 0 36 60 64 -0.902089563522508
+16 0 1 0 0 36 62 64 -0.807728224995654
+16 0 1 0 0 36 64 64 -0.693705563139719
+16 0 1 0 0 36 66 64 -0.562902372328669
+16 0 1 0 0 36 68 64 -0.422193359621572
+16 0 1 0 0 36 70 64 -0.279987146856355
+16 0 1 0 0 36 72 64 -0.139229240586788
+16 0 1 0 0 36 74 64 0.0106405504749853
+16 0 1 0 0 36 76 64 0.166523771570489
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 0.916742153342747
+16 0 0 0 0 36 4 64 1.04225454856244
+16 0 0 0 0 36 8 64 1.08332942347629
+16 0 0 0 0 36 12 64 1.03663945689554
+16 0 0 0 0 36 16 64 0.905973826265031
+16 0 0 0 0 36 20 64 0.70200290301621
+16 0 0 0 0 36 24 64 0.441125162731966
+16 0 0 0 0 36 28 64 0.139945313573242
+16 0 0 0 0 36 32 64 -0.183898454906042
+16 0 0 0 0 36 36 64 -0.484688033198006
+16 0 0 0 0 36 40 64 -0.739236113036692
+16 0 0 0 0 36 44 64 -0.937358140217086
+16 0 0 0 0 36 48 64 -1.06092098400655
+16 0 0 0 0 36 52 64 -1.09509999881199
+16 0 0 0 0 36 56 64 -1.03954156669008
+16 0 0 0 0 36 60 64 -0.902089563522508
+16 0 0 0 0 36 64 64 -0.693705563139719
+16 0 0 0 0 36 68 64 -0.422193359621572
+16 0 0 0 0 36 72 64 -0.139229240586788
+16 0 0 0 0 36 76 64 0.166523771570489
+16 0 0 0 0 36 80 64 0.459669957865504
+16 0 0 0 0 36 84 64 0.716993269364037
+16 0 0 0 0 36 88 64 0.916742153342747
+16 0 0 0 0 36 92 64 1.04225454856244
+16 0 0 0 0 36 96 64 1.08332942347629
+16 0 0 0 0 36 100 64 1.03663945689554
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 -0.748248966483728
+17 0 2 0 0 36 40 64 -0.802940738253849
+17 0 2 0 0 36 41 64 -0.850766881425636
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+17 0 2 0 0 36 44 64 -0.980211797703186
+17 0 2 0 0 36 45 64 -1.01218289683702
+17 0 2 0 0 36 46 64 -1.039640174836
+17 0 2 0 0 36 47 64 -1.06275326731988
+17 0 2 0 0 36 48 64 -1.07976798922507
+17 0 2 0 0 36 49 64 -1.09031398124381
+17 0 2 0 0 36 50 64 -1.09507527191713
+17 0 2 0 0 36 51 64 -1.09441818077142
+17 0 2 0 0 36 52 64 -1.08831671042799
+17 0 2 0 0 36 53 64 -1.07665333675626
+17 0 2 0 0 36 54 64 -1.05926739138863
+17 0 2 0 0 36 55 64 -1.03599215539174
+17 0 2 0 0 36 56 64 -1.00710205041233
+17 0 2 0 0 36 57 64 -0.97370980624548
+17 0 2 0 0 36 58 64 -0.936580715058463
+17 0 2 0 0 36 59 64 -0.894824550392469
+17 0 2 0 0 36 60 64 -0.848074793349127
+17 0 2 0 0 36 61 64 -0.797357942553243
+17 0 2 0 0 36 62 64 -0.744336851709823
+17 0 2 0 0 36 63 64 -0.685423499691585
+17 0 2 0 0 36 64 64 -0.621682856865023
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 -0.812084974848701
+18 0 2 0 0 36 40 64 -0.861681617277354
+18 0 2 0 0 36 41 64 -0.903996417358454
+18 0 2 0 0 36 42 64 -0.946998897551574
+18 0 2 0 0 36 43 64 -0.983647651514536
+18 0 2 0 0 36 44 64 -1.01592852906285
+18 0 2 0 0 36 45 64 -1.04225856450923
+18 0 2 0 0 36 46 64 -1.0630903254202
+18 0 2 0 0 36 47 64 -1.07969316934856
+18 0 2 0 0 36 48 64 -1.09081073984279
+18 0 2 0 0 36 49 64 -1.09534502917598
+18 0 2 0 0 36 50 64 -1.09371657481352
+18 0 2 0 0 36 51 64 -1.08653817652598
+18 0 2 0 0 36 52 64 -1.07395686789546
+18 0 2 0 0 36 53 64 -1.05585425358272
+18 0 2 0 0 36 54 64 -1.03203389991361
+18 0 2 0 0 36 55 64 -1.00247754039391
+18 0 2 0 0 36 56 64 -0.967870269021076
+18 0 2 0 0 36 57 64 -0.929393894145504
+18 0 2 0 0 36 58 64 -0.887091434627847
+18 0 2 0 0 36 59 64 -0.839964500717648
+18 0 2 0 0 36 60 64 -0.788407852299575
+18 0 2 0 0 36 61 64 -0.733143423769073
+18 0 2 0 0 36 62 64 -0.675972739281955
+18 0 2 0 0 36 63 64 -0.61277361776954
+18 0 2 0 0 36 64 64 -0.544865432405832
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 0.121763436235041
+18 0 1 0 0 36 28 64 -0.0361345649626222
+18 0 1 0 0 36 30 64 -0.192549641575384
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+18 0 1 0 0 36 36 64 -0.640470755694692
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+18 0 1 0 0 36 40 64 -0.861681617277354
+18 0 1 0 0 36 42 64 -0.946998897551574
+18 0 1 0 0 36 44 64 -1.01592852906285
+18 0 1 0 0 36 46 64 -1.0630903254202
+18 0 1 0 0 36 48 64 -1.09081073984279
+18 0 1 0 0 36 50 64 -1.09371657481352
+18 0 1 0 0 36 52 64 -1.07395686789546
+18 0 1 0 0 36 54 64 -1.03203389991361
+18 0 1 0 0 36 56 64 -0.967870269021076
+18 0 1 0 0 36 58 64 -0.887091434627847
+18 0 1 0 0 36 60 64 -0.788407852299575
+18 0 1 0 0 36 62 64 -0.675972739281955
+18 0 1 0 0 36 64 64 -0.544865432405832
+18 0 1 0 0 36 66 64 -0.401302951665287
+18 0 1 0 0 36 68 64 -0.253890748013312
+18 0 1 0 0 36 70 64 -0.107692545798701
+18 0 1 0 0 36 72 64 0.0360222575723883
+18 0 1 0 0 36 74 64 0.18496169839801
+18 0 1 0 0 36 76 64 0.335857778125204
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 -0.870021978830972
+19 0 2 0 0 36 40 64 -0.914237466607141
+19 0 2 0 0 36 41 64 -0.951012317066564
+19 0 2 0 0 36 42 64 -0.988080508942704
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+19 0 2 0 0 36 44 64 -1.04446960993808
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+19 0 2 0 0 36 46 64 -1.07939457162754
+19 0 2 0 0 36 47 64 -1.08914472749936
+19 0 2 0 0 36 48 64 -1.09405949796791
+19 0 2 0 0 36 49 64 -1.0926711602515
+19 0 2 0 0 36 50 64 -1.08483587435615
+19 0 2 0 0 36 51 64 -1.07123750931485
+19 0 2 0 0 36 52 64 -1.05223780599728
+19 0 2 0 0 36 53 64 -1.0277685326194
+19 0 2 0 0 36 54 64 -0.99766837487871
+19 0 2 0 0 36 55 64 -0.962192892151951
+19 0 2 0 0 36 56 64 -0.922367296063394
+19 0 2 0 0 36 57 64 -0.879056110277469
+19 0 2 0 0 36 58 64 -0.831645524149143
+19 0 2 0 0 36 59 64 -0.779555367477826
+19 0 2 0 0 36 60 64 -0.723608056292116
+19 0 2 0 0 36 61 64 -0.664094273042949
+19 0 2 0 0 36 62 64 -0.602955712391395
+19 0 2 0 0 36 63 64 -0.535904762252361
+19 0 2 0 0 36 64 64 -0.46488053574137
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 -0.922537693436739
+20 0 2 0 0 36 40 64 -0.961015380743231
+20 0 2 0 0 36 41 64 -0.991828331315158
+20 0 2 0 0 36 42 64 -1.02252004967836
+20 0 2 0 0 36 43 64 -1.04670951269272
+20 0 2 0 0 36 44 64 -1.06602608723651
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+20 0 2 0 0 36 46 64 -1.08857672055329
+20 0 2 0 0 36 47 64 -1.09139794479925
+20 0 2 0 0 36 48 64 -1.08976583490937
+20 0 2 0 0 36 49 64 -1.08244476985703
+20 0 2 0 0 36 50 64 -1.06863639536106
+20 0 2 0 0 36 51 64 -1.04881057068043
+20 0 2 0 0 36 52 64 -1.02350590465531
+20 0 2 0 0 36 53 64 -0.992790394979022
+20 0 2 0 0 36 54 64 -0.95666928242246
+20 0 2 0 0 36 55 64 -0.915747781849555
+20 0 2 0 0 36 56 64 -0.871152215644388
+20 0 2 0 0 36 57 64 -0.823138826114566
+20 0 2 0 0 36 58 64 -0.770802107437295
+20 0 2 0 0 36 59 64 -0.714222537274245
+20 0 2 0 0 36 60 64 -0.654180291145823
+20 0 2 0 0 36 61 64 -0.590634671487968
+20 0 2 0 0 36 62 64 -0.525969588573888
+20 0 2 0 0 36 63 64 -0.455348443298292
+20 0 2 0 0 36 64 64 -0.381185751545229
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 -0.058798364331567
+20 0 1 0 0 36 28 64 -0.215903719352408
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+20 0 1 0 0 36 42 64 -1.02252004967836
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+20 0 1 0 0 36 50 64 -1.06863639536106
+20 0 1 0 0 36 52 64 -1.02350590465531
+20 0 1 0 0 36 54 64 -0.95666928242246
+20 0 1 0 0 36 56 64 -0.871152215644388
+20 0 1 0 0 36 58 64 -0.770802107437295
+20 0 1 0 0 36 60 64 -0.654180291145823
+20 0 1 0 0 36 62 64 -0.525969588573888
+20 0 1 0 0 36 64 64 -0.381185751545229
+20 0 1 0 0 36 66 64 -0.230040374604951
+20 0 1 0 0 36 68 64 -0.0801694926930366
+20 0 1 0 0 36 70 64 0.067587394771085
+20 0 1 0 0 36 72 64 0.210296210720563
+20 0 1 0 0 36 74 64 0.355975028113377
+20 0 1 0 0 36 76 64 0.500578141248446
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 1.05141904029742
+20 0 0 0 0 36 4 64 1.08002994089976
+20 0 0 0 0 36 8 64 1.02115314292067
+20 0 0 0 0 36 12 64 0.879550845611129
+20 0 0 0 0 36 16 64 0.666725410679686
+20 0 0 0 0 36 20 64 0.399944314543781
+20 0 0 0 0 36 24 64 0.0992308616098747
+20 0 0 0 0 36 28 64 -0.215903719352408
+20 0 0 0 0 36 32 64 -0.51435022098329
+20 0 0 0 0 36 36 64 -0.777920637802983
+20 0 0 0 0 36 40 64 -0.961015380743231
+20 0 0 0 0 36 44 64 -1.06602608723651
+20 0 0 0 0 36 48 64 -1.08976583490937
+20 0 0 0 0 36 52 64 -1.02350590465531
+20 0 0 0 0 36 56 64 -0.871152215644388
+20 0 0 0 0 36 60 64 -0.654180291145823
+20 0 0 0 0 36 64 64 -0.381185751545229
+20 0 0 0 0 36 68 64 -0.0801694926930366
+20 0 0 0 0 36 72 64 0.210296210720563
+20 0 0 0 0 36 76 64 0.500578141248446
+20 0 0 0 0 36 80 64 0.749249184290004
+20 0 0 0 0 36 84 64 0.937814818068092
+20 0 0 0 0 36 88 64 1.05141904029742
+20 0 0 0 0 36 92 64 1.08002994089976
+20 0 0 0 0 36 96 64 1.02115314292067
+20 0 0 0 0 36 100 64 0.879550845611129
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 -0.96846509310785
+21 0 2 0 0 36 40 64 -1.00108529006207
+21 0 2 0 0 36 41 64 -1.02601761237306
+21 0 2 0 0 36 42 64 -1.05033714692646
+21 0 2 0 0 36 43 64 -1.06820749788891
+21 0 2 0 0 36 44 64 -1.0808253223786
+21 0 2 0 0 36 45 64 -1.08871837366114
+21 0 2 0 0 36 46 64 -1.09071616838114
+21 0 2 0 0 36 47 64 -1.08677710572716
+21 0 2 0 0 36 48 64 -1.07833932664736
+21 0 2 0 0 36 49 64 -1.06495016413021
+21 0 2 0 0 36 50 64 -1.0453748071859
+21 0 2 0 0 36 51 64 -1.01958538604898
+21 0 2 0 0 36 52 64 -0.988154933018492
+21 0 2 0 0 36 53 64 -0.95138687430116
+21 0 2 0 0 36 54 64 -0.909615733406039
+21 0 2 0 0 36 55 64 -0.863763735982326
+21 0 2 0 0 36 56 64 -0.814721836088171
+21 0 2 0 0 36 57 64 -0.76209040726764
+21 0 2 0 0 36 58 64 -0.705140447790613
+21 0 2 0 0 36 59 64 -0.644492602931715
+21 0 2 0 0 36 60 64 -0.580574045234848
+21 0 2 0 0 36 61 64 -0.513355773194963
+21 0 2 0 0 36 62 64 -0.445403029094173
+21 0 2 0 0 36 63 64 -0.371901271340376
+21 0 2 0 0 36 64 64 -0.295687677022133
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 -1.00814122365802
+22 0 2 0 0 36 40 64 -1.03475721777151
+22 0 2 0 0 36 41 64 -1.05363656979966
+22 0 2 0 0 36 42 64 -1.07134422170817
+22 0 2 0 0 36 43 64 -1.08289298117718
+22 0 2 0 0 36 44 64 -1.08895122094352
+22 0 2 0 0 36 45 64 -1.09010334666339
+22 0 2 0 0 36 46 64 -1.08590359983407
+22 0 2 0 0 36 47 64 -1.07550560939389
+22 0 2 0 0 36 48 64 -1.06019640207751
+22 0 2 0 0 36 49 64 -1.04052084691004
+22 0 2 0 0 36 50 64 -1.01528005561511
+22 0 2 0 0 36 51 64 -0.983817198820637
+22 0 2 0 0 36 52 64 -0.946522705628849
+22 0 2 0 0 36 53 64 -0.904002135060934
+22 0 2 0 0 36 54 64 -0.857046723828507
+22 0 2 0 0 36 55 64 -0.806734091704481
+22 0 2 0 0 36 56 64 -0.753425730811825
+22 0 2 0 0 36 57 64 -0.69629440427006
+22 0 2 0 0 36 58 64 -0.635124764338766
+22 0 2 0 0 36 59 64 -0.570731073847429
+22 0 2 0 0 36 60 64 -0.503177278469477
+22 0 2 0 0 36 61 64 -0.432625677494874
+22 0 2 0 0 36 62 64 -0.361911871539432
+22 0 2 0 0 36 63 64 -0.285836064601368
+22 0 2 0 0 36 64 64 -0.207750779770509
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 -0.232553062493246
+22 0 1 0 0 36 28 64 -0.38481513088214
+22 0 1 0 0 36 30 64 -0.525050724453003
+22 0 1 0 0 36 32 64 -0.662533353322197
+22 0 1 0 0 36 34 64 -0.785107020324212
+22 0 1 0 0 36 36 64 -0.892827417140941
+22 0 1 0 0 36 38 64 -0.975786939896549
+22 0 1 0 0 36 40 64 -1.03475721777151
+22 0 1 0 0 36 42 64 -1.07134422170817
+22 0 1 0 0 36 44 64 -1.08895122094352
+22 0 1 0 0 36 46 64 -1.08590359983407
+22 0 1 0 0 36 48 64 -1.06019640207751
+22 0 1 0 0 36 50 64 -1.01528005561511
+22 0 1 0 0 36 52 64 -0.946522705628849
+22 0 1 0 0 36 54 64 -0.857046723828507
+22 0 1 0 0 36 56 64 -0.753425730811825
+22 0 1 0 0 36 58 64 -0.635124764338766
+22 0 1 0 0 36 60 64 -0.503177278469477
+22 0 1 0 0 36 62 64 -0.361911871539432
+22 0 1 0 0 36 64 64 -0.207750779770509
+22 0 1 0 0 36 66 64 -0.0540914987741073
+22 0 1 0 0 36 68 64 0.0948958212423152
+22 0 1 0 0 36 70 64 0.241255011581292
+22 0 1 0 0 36 72 64 0.378575537551293
+22 0 1 0 0 36 74 64 0.515853313756722
+22 0 1 0 0 36 76 64 0.647741859937413
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 -1.04069710929434
+23 0 2 0 0 36 40 64 -1.06134464054237
+23 0 2 0 0 36 41 64 -1.07424766006486
+23 0 2 0 0 36 42 64 -1.08550421360521
+23 0 2 0 0 36 43 64 -1.0906068159465
+23 0 2 0 0 36 44 64 -1.09027388324016
+23 0 2 0 0 36 45 64 -1.08470265154703
+23 0 2 0 0 36 46 64 -1.07417144147934
+23 0 2 0 0 36 47 64 -1.05761591775004
+23 0 2 0 0 36 48 64 -1.03560727383042
+23 0 2 0 0 36 49 64 -1.00944742319999
+23 0 2 0 0 36 50 64 -0.978501772274468
+23 0 2 0 0 36 51 64 -0.941622857530383
+23 0 2 0 0 36 52 64 -0.898819824701131
+23 0 2 0 0 36 53 64 -0.850979653908896
+23 0 2 0 0 36 54 64 -0.799356525389928
+23 0 2 0 0 36 55 64 -0.744933693139189
+23 0 2 0 0 36 56 64 -0.687438351052069
+23 0 2 0 0 36 57 64 -0.626019569234656
+23 0 2 0 0 36 58 64 -0.56104224117568
+23 0 2 0 0 36 59 64 -0.493174664929145
+23 0 2 0 0 36 60 64 -0.422327185769646
+23 0 2 0 0 36 61 64 -0.348945293452227
+23 0 2 0 0 36 62 64 -0.275930395329717
+23 0 2 0 0 36 63 64 -0.198290675645429
+23 0 2 0 0 36 64 64 -0.119370068377162
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 -1.06637249613126
+24 0 2 0 0 36 40 64 -1.08107639948439
+24 0 2 0 0 36 41 64 -1.08789264407291
+24 0 2 0 0 36 42 64 -1.09249190966638
+24 0 2 0 0 36 43 64 -1.09115149373947
+24 0 2 0 0 36 44 64 -1.08450427505538
+24 0 2 0 0 36 45 64 -1.07240118868062
+24 0 2 0 0 36 46 64 -1.05544911164018
+24 0 2 0 0 36 47 64 -1.03294858972833
+24 0 2 0 0 36 48 64 -1.00461395249165
+24 0 2 0 0 36 49 64 -0.971919476837418
+24 0 2 0 0 36 50 64 -0.935123854335217
+24 0 2 0 0 36 51 64 -0.89300547389698
+24 0 2 0 0 36 52 64 -0.84513631768155
+24 0 2 0 0 36 53 64 -0.792541827601868
+24 0 2 0 0 36 54 64 -0.736757545718349
+24 0 2 0 0 36 55 64 -0.678429790874412
+24 0 2 0 0 36 56 64 -0.616815563506738
+24 0 2 0 0 36 57 64 -0.551440930399199
+24 0 2 0 0 36 58 64 -0.4830600891343
+24 0 2 0 0 36 59 64 -0.412034719374684
+24 0 2 0 0 36 60 64 -0.338372384627362
+24 0 2 0 0 36 61 64 -0.262686884034775
+24 0 2 0 0 36 62 64 -0.188101240026126
+24 0 2 0 0 36 63 64 -0.109233611888768
+24 0 2 0 0 36 64 64 -0.0298805399798233
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 -0.405028401688313
+24 0 1 0 0 36 28 64 -0.547717805789811
+24 0 1 0 0 36 30 64 -0.672285401567695
+24 0 1 0 0 36 32 64 -0.793632692909576
+24 0 1 0 0 36 34 64 -0.89531532289719
+24 0 1 0 0 36 36 64 -0.982218449820429
+24 0 1 0 0 36 38 64 -1.04524287553939
+24 0 1 0 0 36 40 64 -1.08107639948439
+24 0 1 0 0 36 42 64 -1.09249190966638
+24 0 1 0 0 36 44 64 -1.08450427505538
+24 0 1 0 0 36 46 64 -1.05544911164018
+24 0 1 0 0 36 48 64 -1.00461395249165
+24 0 1 0 0 36 50 64 -0.935123854335217
+24 0 1 0 0 36 52 64 -0.84513631768155
+24 0 1 0 0 36 54 64 -0.736757545718349
+24 0 1 0 0 36 56 64 -0.616815563506738
+24 0 1 0 0 36 58 64 -0.4830600891343
+24 0 1 0 0 36 60 64 -0.338372384627362
+24 0 1 0 0 36 62 64 -0.188101240026126
+24 0 1 0 0 36 64 64 -0.0298805399798233
+24 0 1 0 0 36 66 64 0.121845209889541
+24 0 1 0 0 36 68 64 0.267219365209696
+24 0 1 0 0 36 70 64 0.40848523387599
+24 0 1 0 0 36 72 64 0.537024736868748
+24 0 1 0 0 36 74 64 0.663847114265108
+24 0 1 0 0 36 76 64 0.781663267859706
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 1.07649335791462
+24 0 0 0 0 36 4 64 1.00544856325694
+24 0 0 0 0 36 8 64 0.853013940943868
+24 0 0 0 0 36 12 64 0.631488217141074
+24 0 0 0 0 36 16 64 0.358848903290354
+24 0 0 0 0 36 20 64 0.0567136245588997
+24 0 0 0 0 36 24 64 -0.253595245337574
+24 0 0 0 0 36 28 64 -0.547717805789811
+24 0 0 0 0 36 32 64 -0.793632692909576
+24 0 0 0 0 36 36 64 -0.982218449820429
+24 0 0 0 0 36 40 64 -1.08107639948439
+24 0 0 0 0 36 44 64 -1.08450427505538
+24 0 0 0 0 36 48 64 -1.00461395249165
+24 0 0 0 0 36 52 64 -0.84513631768155
+24 0 0 0 0 36 56 64 -0.616815563506738
+24 0 0 0 0 36 60 64 -0.338372384627362
+24 0 0 0 0 36 64 64 -0.0298805399798233
+24 0 0 0 0 36 68 64 0.267219365209696
+24 0 0 0 0 36 72 64 0.537024736868748
+24 0 0 0 0 36 76 64 0.781663267859706
+24 0 0 0 0 36 80 64 0.960340613953731
+24 0 0 0 0 36 84 64 1.06080246985794
+24 0 0 0 0 36 88 64 1.07649335791462
+24 0 0 0 0 36 92 64 1.00544856325694
+24 0 0 0 0 36 96 64 0.853013940943868
+24 0 0 0 0 36 100 64 0.631488217141074
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/psi.zl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/psi.zl
new file mode 100644
index 000000000..f358cd15a
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/psi.zl
@@ -0,0 +1,1757 @@
+# SPACETIMETOY::psi z (psi)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 1.07210986930987
+0 0 2 0 0 36 48 52 1.04241637624686
+0 0 2 0 0 36 48 53 1.00130195122605
+0 0 2 0 0 36 48 54 0.949217052491692
+0 0 2 0 0 36 48 55 0.886732333093799
+0 0 2 0 0 36 48 56 0.814532388693861
+0 0 2 0 0 36 48 57 0.733408256991533
+0 0 2 0 0 36 48 58 0.644248750950061
+0 0 2 0 0 36 48 59 0.548030720775461
+0 0 2 0 0 36 48 60 0.445808351341244
+0 0 2 0 0 36 48 61 0.338701612318338
+0 0 2 0 0 36 48 62 0.227883987553003
+0 0 2 0 0 36 48 63 0.114569618132247
+0 0 2 0 0 36 48 64 -1.08122938250794e-16
+0 0 2 0 0 36 48 65 -0.114569618132247
+0 0 2 0 0 36 48 66 -0.227883987553003
+0 0 2 0 0 36 48 67 -0.338701612318338
+0 0 2 0 0 36 48 68 -0.445808351341245
+0 0 2 0 0 36 48 69 -0.548030720775461
+0 0 2 0 0 36 48 70 -0.644248750950061
+0 0 2 0 0 36 48 71 -0.733408256991533
+0 0 2 0 0 36 48 72 -0.814532388693861
+0 0 2 0 0 36 48 73 -0.886732333093799
+0 0 2 0 0 36 48 74 -0.949217052491692
+0 0 2 0 0 36 48 75 -1.00130195122605
+0 0 2 0 0 36 48 76 -1.04241637624686
+0 0 2 0 0 36 48 77 -1.07210986930987
+0 0 2 0 0 36 48 78 -1.09005710229131
+0 0 2 0 0 36 48 79 -1.09606144155092
+0 0 2 0 0 36 48 80 -1.09005710229131
+0 0 2 0 0 36 48 81 -1.07210986930987
+0 0 2 0 0 36 48 82 -1.04241637624687
+0 0 2 0 0 36 48 83 -1.00130195122605
+0 0 2 0 0 36 48 84 -0.949217052491693
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 3.54146779722859e-15
+0 0 1 0 0 36 48 36 0.227883987553006
+0 0 1 0 0 36 48 38 0.445808351341248
+0 0 1 0 0 36 48 40 0.644248750950064
+0 0 1 0 0 36 48 42 0.814532388693864
+0 0 1 0 0 36 48 44 0.949217052491694
+0 0 1 0 0 36 48 46 1.04241637624687
+0 0 1 0 0 36 48 48 1.09005710229131
+0 0 1 0 0 36 48 50 1.09005710229131
+0 0 1 0 0 36 48 52 1.04241637624686
+0 0 1 0 0 36 48 54 0.949217052491692
+0 0 1 0 0 36 48 56 0.814532388693861
+0 0 1 0 0 36 48 58 0.644248750950061
+0 0 1 0 0 36 48 60 0.445808351341244
+0 0 1 0 0 36 48 62 0.227883987553003
+0 0 1 0 0 36 48 64 -1.08122938250794e-16
+0 0 1 0 0 36 48 66 -0.227883987553003
+0 0 1 0 0 36 48 68 -0.445808351341245
+0 0 1 0 0 36 48 70 -0.644248750950061
+0 0 1 0 0 36 48 72 -0.814532388693861
+0 0 1 0 0 36 48 74 -0.949217052491692
+0 0 1 0 0 36 48 76 -1.04241637624686
+0 0 1 0 0 36 48 78 -1.09005710229131
+0 0 1 0 0 36 48 80 -1.09005710229131
+0 0 1 0 0 36 48 82 -1.04241637624687
+0 0 1 0 0 36 48 84 -0.949217052491693
+0 0 1 0 0 36 48 86 -0.814532388693864
+0 0 1 0 0 36 48 88 -0.644248750950064
+0 0 1 0 0 36 48 90 -0.445808351341248
+0 0 1 0 0 36 48 92 -0.227883987553006
+0 0 1 0 0 36 48 94 -3.54146779722859e-15
+0 0 1 0 0 36 48 96 0.227883987553
+0 0 1 0 0 36 48 98 0.445808351341241
+0 0 1 0 0 36 48 100 0.644248750950058
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 0.445808351341237
+0 0 0 0 0 36 48 4 -7.08293559445718e-15
+0 0 0 0 0 36 48 8 -0.445808351341251
+0 0 0 0 0 36 48 12 -0.814532388693866
+0 0 0 0 0 36 48 16 -1.04241637624687
+0 0 0 0 0 36 48 20 -1.09005710229131
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+0 0 0 0 0 36 48 28 -0.644248750950057
+0 0 0 0 0 36 48 32 -0.227883987552999
+0 0 0 0 0 36 48 36 0.227883987553006
+0 0 0 0 0 36 48 40 0.644248750950064
+0 0 0 0 0 36 48 44 0.949217052491694
+0 0 0 0 0 36 48 48 1.09005710229131
+0 0 0 0 0 36 48 52 1.04241637624686
+0 0 0 0 0 36 48 56 0.814532388693861
+0 0 0 0 0 36 48 60 0.445808351341244
+0 0 0 0 0 36 48 64 -1.08122938250794e-16
+0 0 0 0 0 36 48 68 -0.445808351341245
+0 0 0 0 0 36 48 72 -0.814532388693861
+0 0 0 0 0 36 48 76 -1.04241637624686
+0 0 0 0 0 36 48 80 -1.09005710229131
+0 0 0 0 0 36 48 84 -0.949217052491693
+0 0 0 0 0 36 48 88 -0.644248750950064
+0 0 0 0 0 36 48 92 -0.227883987553006
+0 0 0 0 0 36 48 96 0.227883987553
+0 0 0 0 0 36 48 100 0.644248750950058
+0 0 0 0 0 36 48 104 0.94921705249169
+0 0 0 0 0 36 48 108 1.09005710229131
+0 0 0 0 0 36 48 112 1.04241637624687
+0 0 0 0 0 36 48 116 0.814532388693866
+0 0 0 0 0 36 48 120 0.445808351341251
+0 0 0 0 0 36 48 124 7.08293559445718e-15
+0 0 0 0 0 36 48 128 -0.445808351341238
+0 0 0 0 0 36 48 132 -0.814532388693856
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 1.04988239459684
+1 0 2 0 0 36 48 52 1.01130484170745
+1 0 2 0 0 36 48 53 0.960566335417317
+1 0 2 0 0 36 48 54 0.901074807988705
+1 0 2 0 0 36 48 55 0.830911309915394
+1 0 2 0 0 36 48 56 0.751644173651277
+1 0 2 0 0 36 48 57 0.664141866528979
+1 0 2 0 0 36 48 58 0.569363082136375
+1 0 2 0 0 36 48 59 0.468346236668995
+1 0 2 0 0 36 48 60 0.362198091824921
+1 0 2 0 0 36 48 61 0.252081628891986
+1 0 2 0 0 36 48 62 0.139203306881443
+1 0 2 0 0 36 48 63 0.0247998443105409
+1 0 2 0 0 36 48 64 -0.0898753305443298
+1 0 2 0 0 36 48 65 -0.203565812470134
+1 0 2 0 0 36 48 66 -0.315025984755632
+1 0 2 0 0 36 48 67 -0.423034666428717
+1 0 2 0 0 36 48 68 -0.526408491770721
+1 0 2 0 0 36 48 69 -0.624014875518821
+1 0 2 0 0 36 48 70 -0.714784421707231
+1 0 2 0 0 36 48 71 -0.79772264019316
+1 0 2 0 0 36 48 72 -0.871920842498935
+1 0 2 0 0 36 48 73 -0.936566097593131
+1 0 2 0 0 36 48 74 -0.990950138533036
+1 0 2 0 0 36 48 75 -1.03447712238553
+1 0 2 0 0 36 48 76 -1.06667015840691
+1 0 2 0 0 36 48 77 -1.0871765329577
+1 0 2 0 0 36 48 78 -1.09577157390709
+1 0 2 0 0 36 48 79 -1.09236111218782
+1 0 2 0 0 36 48 80 -1.07698251353215
+1 0 2 0 0 36 48 81 -1.04980426908515
+1 0 2 0 0 36 48 82 -1.01032197676169
+1 0 2 0 0 36 48 83 -0.961556838796433
+1 0 2 0 0 36 48 84 -0.901359758260216
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 1.02053004952983
+2 0 2 0 0 36 48 52 0.973245078555847
+2 0 2 0 0 36 48 53 0.913784987040976
+2 0 2 0 0 36 48 54 0.846448429890489
+2 0 2 0 0 36 48 55 0.769470192858791
+2 0 2 0 0 36 48 56 0.683690089566543
+2 0 2 0 0 36 48 57 0.590399503688728
+2 0 2 0 0 36 48 58 0.490640377299454
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+2 0 2 0 0 36 48 61 0.163763432224597
+2 0 2 0 0 36 48 62 0.0495853118254015
+2 0 2 0 0 36 48 63 -0.0651360756265477
+2 0 2 0 0 36 48 64 -0.17914381860333
+2 0 2 0 0 36 48 65 -0.291188824415243
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+2 0 2 0 0 36 48 83 -0.915210049774923
+2 0 2 0 0 36 48 84 -0.847229586187008
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 0.173946181251853
+2 0 1 0 0 36 48 36 0.395116773952963
+2 0 1 0 0 36 48 38 0.601952761985071
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+2 0 1 0 0 36 48 90 -0.276825120792852
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+2 0 1 0 0 36 48 96 0.398326141265628
+2 0 1 0 0 36 48 98 0.598469232711141
+2 0 1 0 0 36 48 100 0.776498818992599
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 0.984633210233265
+3 0 2 0 0 36 48 52 0.928972170843103
+3 0 2 0 0 36 48 53 0.861248335497236
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+3 0 2 0 0 36 48 83 -0.862327929979906
+3 0 2 0 0 36 48 84 -0.787677798530873
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 0.941884716026576
+4 0 2 0 0 36 48 52 0.878241090552202
+4 0 2 0 0 36 48 53 0.80350430148986
+4 0 2 0 0 36 48 54 0.719945816792313
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+4 0 2 0 0 36 48 83 -0.804329520800085
+4 0 2 0 0 36 48 84 -0.722420641205544
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 0.345958500605889
+4 0 1 0 0 36 48 36 0.55436473367733
+4 0 1 0 0 36 48 38 0.740017751296593
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+4 0 1 0 0 36 48 96 0.556407454196092
+4 0 1 0 0 36 48 98 0.737771407810592
+4 0 1 0 0 36 48 100 0.889960952882225
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 0.105748969574785
+4 0 0 0 0 36 48 4 -0.346204677567753
+4 0 0 0 0 36 48 8 -0.738296390788072
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+4 0 0 0 0 36 48 100 0.889960952882225
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+4 0 0 0 0 36 48 132 -1.00272995082898
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 0.893129340542009
+5 0 2 0 0 36 48 52 0.821803048143382
+5 0 2 0 0 36 48 53 0.74050163220271
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+5 0 2 0 0 36 48 84 -0.652753506585578
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 0.837895802142266
+6 0 2 0 0 36 48 52 0.759407640129897
+6 0 2 0 0 36 48 53 0.672518981426813
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+6 0 2 0 0 36 48 84 -0.578244597212789
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 0.505104908420733
+6 0 1 0 0 36 48 36 0.696253385463493
+6 0 1 0 0 36 48 38 0.856348655035859
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+6 0 1 0 0 36 48 100 0.978284242179571
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 0.777414848321441
+7 0 2 0 0 36 48 52 0.692213631007242
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+7 0 2 0 0 36 48 55 0.392045123805957
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+7 0 2 0 0 36 48 84 -0.500409135551882
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 0.711158337019364
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+8 0 2 0 0 36 48 84 -0.418742047447957
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 0.655713639801684
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+8 0 1 0 0 36 48 90 0.255550565964079
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+8 0 1 0 0 36 48 98 0.9526288573087
+8 0 1 0 0 36 48 100 1.04358565703109
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 -0.244359472519246
+8 0 0 0 0 36 48 4 -0.655466527169893
+8 0 0 0 0 36 48 8 -0.953237464546396
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+8 0 0 0 0 36 48 96 0.82133519510659
+8 0 0 0 0 36 48 100 1.04358565703109
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+8 0 0 0 0 36 48 112 0.626220660513727
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+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 0.640611976173356
+9 0 2 0 0 36 48 52 0.543808920330173
+9 0 2 0 0 36 48 53 0.441958015378307
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+9 0 2 0 0 36 48 83 -0.442658075099919
+9 0 2 0 0 36 48 84 -0.334825445109719
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 0.565232718418884
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+10 0 2 0 0 36 48 84 -0.248131957800933
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 0.785148943756929
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+10 0 1 0 0 36 48 98 1.02169934716153
+10 0 1 0 0 36 48 100 1.07961127229486
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 0.486624047272885
+11 0 2 0 0 36 48 52 0.380888081126532
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+11 0 2 0 0 36 48 84 -0.160332658279302
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 0.404152753580617
+12 0 2 0 0 36 48 52 0.295066200245431
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+12 0 2 0 0 36 48 84 -0.0708705222922577
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 0.898050683918521
+12 0 1 0 0 36 48 36 1.00889200684459
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+12 0 1 0 0 36 48 100 1.08844572968485
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 0.319550573756957
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+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+14 0 2 0 0 36 48 84 0.108374896362243
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+14 0 1 0 0 36 48 96 1.0528240460842
+14 0 1 0 0 36 48 98 1.08246336484222
+14 0 1 0 0 36 48 100 1.06826631445849
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 0.143723760401947
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+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 0.053652352178279
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+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 1.04683818772365
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+16 0 1 0 0 36 48 98 1.07153635958104
+16 0 1 0 0 36 48 100 1.01968059819663
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 -0.831896334217484
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+16 0 0 0 0 36 48 132 -0.917113221561465
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 -0.0360824138181191
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+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 -0.126254075691677
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+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 1.07993194831194
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+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 -0.214759058732758
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+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 -0.302389160364213
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+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 1.08497096509296
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+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 -0.387142896594454
+21 0 2 0 0 36 48 52 -0.49222821347787
+21 0 2 0 0 36 48 53 -0.58840466827886
+21 0 2 0 0 36 48 54 -0.683620507369383
+21 0 2 0 0 36 48 55 -0.768898350165856
+21 0 2 0 0 36 48 56 -0.845834163031367
+21 0 2 0 0 36 48 57 -0.913640120809851
+21 0 2 0 0 36 48 58 -0.971115503806026
+21 0 2 0 0 36 48 59 -1.01832486185485
+21 0 2 0 0 36 48 60 -1.05502681026647
+21 0 2 0 0 36 48 61 -1.07969533276616
+21 0 2 0 0 36 48 62 -1.09149664484501
+21 0 2 0 0 36 48 63 -1.09084470398317
+21 0 2 0 0 36 48 64 -1.07833932664736
+21 0 2 0 0 36 48 65 -1.0542526129081
+21 0 2 0 0 36 48 66 -1.01876116161015
+21 0 2 0 0 36 48 67 -0.972160637992673
+21 0 2 0 0 36 48 68 -0.914922027862743
+21 0 2 0 0 36 48 69 -0.847644155761447
+21 0 2 0 0 36 48 70 -0.771020373095474
+21 0 2 0 0 36 48 71 -0.68578736336464
+21 0 2 0 0 36 48 72 -0.592778458003517
+21 0 2 0 0 36 48 73 -0.4931476721779
+21 0 2 0 0 36 48 74 -0.388616239936357
+21 0 2 0 0 36 48 75 -0.280970122171044
+21 0 2 0 0 36 48 76 -0.170978864005858
+21 0 2 0 0 36 48 77 -0.0588052096072251
+21 0 2 0 0 36 48 78 0.0542949258350968
+21 0 2 0 0 36 48 79 0.166748565575605
+21 0 2 0 0 36 48 80 0.277705529545411
+21 0 2 0 0 36 48 81 0.3857923237558
+21 0 2 0 0 36 48 82 0.487508051958744
+21 0 2 0 0 36 48 83 0.587988196990317
+21 0 2 0 0 36 48 84 0.682586405128711
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 -0.469712760650659
+22 0 2 0 0 36 48 52 -0.57044644203488
+22 0 2 0 0 36 48 53 -0.661171263904465
+22 0 2 0 0 36 48 54 -0.750178039329284
+22 0 2 0 0 36 48 55 -0.828693208388888
+22 0 2 0 0 36 48 56 -0.898106973579072
+22 0 2 0 0 36 48 57 -0.957943176441304
+22 0 2 0 0 36 48 58 -1.00710650127679
+22 0 2 0 0 36 48 59 -1.04529680292019
+22 0 2 0 0 36 48 60 -1.07283489213693
+22 0 2 0 0 36 48 61 -1.08872039290125
+22 0 2 0 0 36 48 62 -1.0917388990014
+22 0 2 0 0 36 48 63 -1.08196945817137
+22 0 2 0 0 36 48 64 -1.06019640207751
+22 0 2 0 0 36 48 65 -1.02700668913487
+22 0 2 0 0 36 48 66 -0.982757608373698
+22 0 2 0 0 36 48 67 -0.927830657348324
+22 0 2 0 0 36 48 68 -0.862761680048269
+22 0 2 0 0 36 48 69 -0.788212343839876
+22 0 2 0 0 36 48 70 -0.704927233879354
+22 0 2 0 0 36 48 71 -0.613704052706834
+22 0 2 0 0 36 48 72 -0.515526679700828
+22 0 2 0 0 36 48 73 -0.411835250919758
+22 0 2 0 0 36 48 74 -0.304507143889777
+22 0 2 0 0 36 48 75 -0.194956973518446
+22 0 2 0 0 36 48 76 -0.0834830736776163
+22 0 2 0 0 36 48 77 0.029444792553796
+22 0 2 0 0 36 48 78 0.142215723885398
+22 0 2 0 0 36 48 79 0.253560320767061
+22 0 2 0 0 36 48 80 0.362520454060551
+22 0 2 0 0 36 48 81 0.467630639378048
+22 0 2 0 0 36 48 82 0.565609278184061
+22 0 2 0 0 36 48 83 0.661736815978225
+22 0 2 0 0 36 48 84 0.750500957684811
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 1.06111476002833
+22 0 1 0 0 36 48 36 0.989532332075118
+22 0 1 0 0 36 48 38 0.862815522770347
+22 0 1 0 0 36 48 40 0.703510439367059
+22 0 1 0 0 36 48 42 0.512738288806748
+22 0 1 0 0 36 48 44 0.305886904223823
+22 0 1 0 0 36 48 46 0.0868709018371341
+22 0 1 0 0 36 48 48 -0.140409040425564
+22 0 1 0 0 36 48 50 -0.363558064387877
+22 0 1 0 0 36 48 52 -0.57044644203488
+22 0 1 0 0 36 48 54 -0.750178039329284
+22 0 1 0 0 36 48 56 -0.898106973579072
+22 0 1 0 0 36 48 58 -1.00710650127679
+22 0 1 0 0 36 48 60 -1.07283489213693
+22 0 1 0 0 36 48 62 -1.0917388990014
+22 0 1 0 0 36 48 64 -1.06019640207751
+22 0 1 0 0 36 48 66 -0.982757608373698
+22 0 1 0 0 36 48 68 -0.862761680048269
+22 0 1 0 0 36 48 70 -0.704927233879354
+22 0 1 0 0 36 48 72 -0.515526679700828
+22 0 1 0 0 36 48 74 -0.304507143889777
+22 0 1 0 0 36 48 76 -0.0834830736776163
+22 0 1 0 0 36 48 78 0.142215723885398
+22 0 1 0 0 36 48 80 0.362520454060551
+22 0 1 0 0 36 48 82 0.565609278184061
+22 0 1 0 0 36 48 84 0.750500957684811
+22 0 1 0 0 36 48 86 0.899265004733325
+22 0 1 0 0 36 48 88 1.00635426091317
+22 0 1 0 0 36 48 90 1.06576481166359
+22 0 1 0 0 36 48 92 1.07956728627896
+22 0 1 0 0 36 48 94 1.05202740512919
+22 0 1 0 0 36 48 96 0.982047830579852
+22 0 1 0 0 36 48 98 0.873332750810407
+22 0 1 0 0 36 48 100 0.724926281392059
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 -0.54843716399433
+23 0 2 0 0 36 48 52 -0.644212951955146
+23 0 2 0 0 36 48 53 -0.729447483723609
+23 0 2 0 0 36 48 54 -0.811942662777821
+23 0 2 0 0 36 48 55 -0.883259928554816
+23 0 2 0 0 36 48 56 -0.944837533745457
+23 0 2 0 0 36 48 57 -0.996275314047803
+23 0 2 0 0 36 48 58 -1.0368202888703
+23 0 2 0 0 36 48 59 -1.0658591418554
+23 0 2 0 0 36 48 60 -1.08389391179244
+23 0 2 0 0 36 48 61 -1.09068574451956
+23 0 2 0 0 36 48 62 -1.08497840804911
+23 0 2 0 0 36 48 63 -1.06637276443291
+23 0 2 0 0 36 48 64 -1.03560727383042
+23 0 2 0 0 36 48 65 -0.993567637680465
+23 0 2 0 0 36 48 66 -0.940852486931511
+23 0 2 0 0 36 48 67 -0.877963078947167
+23 0 2 0 0 36 48 68 -0.805491336078829
+23 0 2 0 0 36 48 69 -0.724149605353499
+23 0 2 0 0 36 48 70 -0.634724090580368
+23 0 2 0 0 36 48 71 -0.538106966506322
+23 0 2 0 0 36 48 72 -0.435495467097334
+23 0 2 0 0 36 48 73 -0.328599810903035
+23 0 2 0 0 36 48 74 -0.219219282205405
+23 0 2 0 0 36 48 75 -0.108230964657232
+23 0 2 0 0 36 48 76 0.00425699755552367
+23 0 2 0 0 36 48 77 0.117262589466839
+23 0 2 0 0 36 48 78 0.229098149650315
+23 0 2 0 0 36 48 79 0.338717424211247
+23 0 2 0 0 36 48 80 0.444937662942897
+23 0 2 0 0 36 48 81 0.546376367905287
+23 0 2 0 0 36 48 82 0.639858044467735
+23 0 2 0 0 36 48 83 0.7301806629591
+23 0 2 0 0 36 48 84 0.812802844910447
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 -0.62385650370393
+24 0 2 0 0 36 48 52 -0.714022859334394
+24 0 2 0 0 36 48 53 -0.793018333071478
+24 0 2 0 0 36 48 54 -0.868499608706476
+24 0 2 0 0 36 48 55 -0.932305094261173
+24 0 2 0 0 36 48 56 -0.985797413762888
+24 0 2 0 0 36 48 57 -1.0285613288255
+24 0 2 0 0 36 48 58 -1.0601947163954
+24 0 2 0 0 36 48 59 -1.0800059350918
+24 0 2 0 0 36 48 60 -1.08834728819215
+24 0 2 0 0 36 48 61 -1.08570123197654
+24 0 2 0 0 36 48 62 -1.07119816376145
+24 0 2 0 0 36 48 63 -1.04402151683434
+24 0 2 0 0 36 48 64 -1.00461395249165
+24 0 2 0 0 36 48 65 -0.954040789848939
+24 0 2 0 0 36 48 66 -0.893183749893694
+24 0 2 0 0 36 48 67 -0.822710569457909
+24 0 2 0 0 36 48 68 -0.743276783360953
+24 0 2 0 0 36 48 69 -0.655632611475457
+24 0 2 0 0 36 48 70 -0.560613499162162
+24 0 2 0 0 36 48 71 -0.459254374566046
+24 0 2 0 0 36 48 72 -0.353009890897858
+24 0 2 0 0 36 48 73 -0.243740268127819
+24 0 2 0 0 36 48 74 -0.132906500762475
+24 0 2 0 0 36 48 75 -0.0208723563055726
+24 0 2 0 0 36 48 76 0.0920724338134171
+24 0 2 0 0 36 48 77 0.204447712404983
+24 0 2 0 0 36 48 78 0.314714718155134
+24 0 2 0 0 36 48 79 0.421868254842631
+24 0 2 0 0 36 48 80 0.524568875211399
+24 0 2 0 0 36 48 81 0.621588004421923
+24 0 2 0 0 36 48 82 0.709920438212797
+24 0 2 0 0 36 48 83 0.794513994026612
+24 0 2 0 0 36 48 84 0.869972191390988
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 1.00830554842227
+24 0 1 0 0 36 48 36 0.901053905650991
+24 0 1 0 0 36 48 38 0.745295417929743
+24 0 1 0 0 36 48 40 0.560468272243669
+24 0 1 0 0 36 48 42 0.350169996418964
+24 0 1 0 0 36 48 44 0.127868103926322
+24 0 1 0 0 36 48 46 -0.0955687375207465
+24 0 1 0 0 36 48 48 -0.316792149734649
+24 0 1 0 0 36 48 50 -0.526740093550842
+24 0 1 0 0 36 48 52 -0.714022859334394
+24 0 1 0 0 36 48 54 -0.868499608706476
+24 0 1 0 0 36 48 56 -0.985797413762888
+24 0 1 0 0 36 48 58 -1.0601947163954
+24 0 1 0 0 36 48 60 -1.08834728819215
+24 0 1 0 0 36 48 62 -1.07119816376145
+24 0 1 0 0 36 48 64 -1.00461395249165
+24 0 1 0 0 36 48 66 -0.893183749893694
+24 0 1 0 0 36 48 68 -0.743276783360953
+24 0 1 0 0 36 48 70 -0.560613499162162
+24 0 1 0 0 36 48 72 -0.353009890897858
+24 0 1 0 0 36 48 74 -0.132906500762475
+24 0 1 0 0 36 48 76 0.0920724338134171
+24 0 1 0 0 36 48 78 0.314714718155134
+24 0 1 0 0 36 48 80 0.524568875211399
+24 0 1 0 0 36 48 82 0.709920438212797
+24 0 1 0 0 36 48 84 0.869972191390988
+24 0 1 0 0 36 48 86 0.987962456494047
+24 0 1 0 0 36 48 88 1.05928166639029
+24 0 1 0 0 36 48 90 1.08210935980372
+24 0 1 0 0 36 48 92 1.06152103316978
+24 0 1 0 0 36 48 94 0.999029100960211
+24 0 1 0 0 36 48 96 0.896958959747137
+24 0 1 0 0 36 48 98 0.758771163029193
+24 0 1 0 0 36 48 100 0.582967877405979
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 -1.07978674061386
+24 0 0 0 0 36 48 4 -1.00544528237575
+24 0 0 0 0 36 48 8 -0.757252344923002
+24 0 0 0 0 36 48 12 -0.378123562610393
+24 0 0 0 0 36 48 16 0.0663872513126626
+24 0 0 0 0 36 48 20 0.499443683335959
+24 0 0 0 0 36 48 24 0.846421360370957
+24 0 0 0 0 36 48 28 1.04846613314116
+24 0 0 0 0 36 48 32 1.07084973200876
+24 0 0 0 0 36 48 36 0.901053905650991
+24 0 0 0 0 36 48 40 0.560468272243669
+24 0 0 0 0 36 48 44 0.127868103926322
+24 0 0 0 0 36 48 48 -0.316792149734649
+24 0 0 0 0 36 48 52 -0.714022859334394
+24 0 0 0 0 36 48 56 -0.985797413762888
+24 0 0 0 0 36 48 60 -1.08834728819215
+24 0 0 0 0 36 48 64 -1.00461395249165
+24 0 0 0 0 36 48 68 -0.743276783360953
+24 0 0 0 0 36 48 72 -0.353009890897858
+24 0 0 0 0 36 48 76 0.0920724338134171
+24 0 0 0 0 36 48 80 0.524568875211399
+24 0 0 0 0 36 48 84 0.869972191390988
+24 0 0 0 0 36 48 88 1.05928166639029
+24 0 0 0 0 36 48 92 1.06152103316978
+24 0 0 0 0 36 48 96 0.896958959747137
+24 0 0 0 0 36 48 100 0.582967877405979
+24 0 0 0 0 36 48 104 0.161768576323513
+24 0 0 0 0 36 48 108 -0.288195270447933
+24 0 0 0 0 36 48 112 -0.68758524548014
+24 0 0 0 0 36 48 116 -0.967405718272144
+24 0 0 0 0 36 48 120 -1.07978674061386
+24 0 0 0 0 36 48 124 -1.00544528237575
+24 0 0 0 0 36 48 128 -0.757252344923002
+24 0 0 0 0 36 48 132 -0.378123562610393
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/spher3d_r.xl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/spher3d_r.xl
new file mode 100644
index 000000000..c3584db3f
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/spher3d_r.xl
@@ -0,0 +1,1082 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 1.35
+0 0 2 0 0 28 48 64 1.2
+0 0 2 0 0 29 48 64 1.05
+0 0 2 0 0 30 48 64 0.9
+0 0 2 0 0 31 48 64 0.75
+0 0 2 0 0 32 48 64 0.6
+0 0 2 0 0 33 48 64 0.45
+0 0 2 0 0 34 48 64 0.3
+0 0 2 0 0 35 48 64 0.15
+0 0 2 0 0 36 48 64 6.2803698347351e-16
+0 0 2 0 0 37 48 64 0.15
+0 0 2 0 0 38 48 64 0.3
+0 0 2 0 0 39 48 64 0.450000000000001
+0 0 2 0 0 40 48 64 0.600000000000001
+0 0 2 0 0 41 48 64 0.750000000000001
+0 0 2 0 0 42 48 64 0.900000000000001
+0 0 2 0 0 43 48 64 1.05
+0 0 2 0 0 44 48 64 1.2
+0 0 2 0 0 45 48 64 1.35
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 2.7
+0 0 1 0 0 20 48 64 2.4
+0 0 1 0 0 22 48 64 2.1
+0 0 1 0 0 24 48 64 1.8
+0 0 1 0 0 26 48 64 1.5
+0 0 1 0 0 28 48 64 1.2
+0 0 1 0 0 30 48 64 0.9
+0 0 1 0 0 32 48 64 0.6
+0 0 1 0 0 34 48 64 0.3
+0 0 1 0 0 36 48 64 6.2803698347351e-16
+0 0 1 0 0 38 48 64 0.3
+0 0 1 0 0 40 48 64 0.600000000000001
+0 0 1 0 0 42 48 64 0.900000000000001
+0 0 1 0 0 44 48 64 1.2
+0 0 1 0 0 46 48 64 1.5
+0 0 1 0 0 48 48 64 1.8
+0 0 1 0 0 50 48 64 2.1
+0 0 1 0 0 52 48 64 2.4
+0 0 1 0 0 54 48 64 2.7
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 5.4
+0 0 0 0 0 4 48 64 4.8
+0 0 0 0 0 8 48 64 4.2
+0 0 0 0 0 12 48 64 3.6
+0 0 0 0 0 16 48 64 3
+0 0 0 0 0 20 48 64 2.4
+0 0 0 0 0 24 48 64 1.8
+0 0 0 0 0 28 48 64 1.2
+0 0 0 0 0 32 48 64 0.6
+0 0 0 0 0 36 48 64 6.2803698347351e-16
+0 0 0 0 0 40 48 64 0.600000000000001
+0 0 0 0 0 44 48 64 1.2
+0 0 0 0 0 48 48 64 1.8
+0 0 0 0 0 52 48 64 2.4
+0 0 0 0 0 56 48 64 3
+0 0 0 0 0 60 48 64 3.6
+0 0 0 0 0 64 48 64 4.2
+0 0 0 0 0 68 48 64 4.8
+0 0 0 0 0 72 48 64 5.4
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 1.35
+1 0 2 0 0 28 48 64 1.2
+1 0 2 0 0 29 48 64 1.05
+1 0 2 0 0 30 48 64 0.9
+1 0 2 0 0 31 48 64 0.75
+1 0 2 0 0 32 48 64 0.6
+1 0 2 0 0 33 48 64 0.45
+1 0 2 0 0 34 48 64 0.3
+1 0 2 0 0 35 48 64 0.15
+1 0 2 0 0 36 48 64 6.2803698347351e-16
+1 0 2 0 0 37 48 64 0.15
+1 0 2 0 0 38 48 64 0.3
+1 0 2 0 0 39 48 64 0.450000000000001
+1 0 2 0 0 40 48 64 0.600000000000001
+1 0 2 0 0 41 48 64 0.750000000000001
+1 0 2 0 0 42 48 64 0.900000000000001
+1 0 2 0 0 43 48 64 1.05
+1 0 2 0 0 44 48 64 1.2
+1 0 2 0 0 45 48 64 1.35
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 1.35
+2 0 2 0 0 28 48 64 1.2
+2 0 2 0 0 29 48 64 1.05
+2 0 2 0 0 30 48 64 0.9
+2 0 2 0 0 31 48 64 0.75
+2 0 2 0 0 32 48 64 0.6
+2 0 2 0 0 33 48 64 0.45
+2 0 2 0 0 34 48 64 0.3
+2 0 2 0 0 35 48 64 0.15
+2 0 2 0 0 36 48 64 6.2803698347351e-16
+2 0 2 0 0 37 48 64 0.15
+2 0 2 0 0 38 48 64 0.3
+2 0 2 0 0 39 48 64 0.450000000000001
+2 0 2 0 0 40 48 64 0.600000000000001
+2 0 2 0 0 41 48 64 0.750000000000001
+2 0 2 0 0 42 48 64 0.900000000000001
+2 0 2 0 0 43 48 64 1.05
+2 0 2 0 0 44 48 64 1.2
+2 0 2 0 0 45 48 64 1.35
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 2.7
+2 0 1 0 0 20 48 64 2.4
+2 0 1 0 0 22 48 64 2.1
+2 0 1 0 0 24 48 64 1.8
+2 0 1 0 0 26 48 64 1.5
+2 0 1 0 0 28 48 64 1.2
+2 0 1 0 0 30 48 64 0.9
+2 0 1 0 0 32 48 64 0.6
+2 0 1 0 0 34 48 64 0.3
+2 0 1 0 0 36 48 64 6.2803698347351e-16
+2 0 1 0 0 38 48 64 0.3
+2 0 1 0 0 40 48 64 0.600000000000001
+2 0 1 0 0 42 48 64 0.900000000000001
+2 0 1 0 0 44 48 64 1.2
+2 0 1 0 0 46 48 64 1.5
+2 0 1 0 0 48 48 64 1.8
+2 0 1 0 0 50 48 64 2.1
+2 0 1 0 0 52 48 64 2.4
+2 0 1 0 0 54 48 64 2.7
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 1.35
+3 0 2 0 0 28 48 64 1.2
+3 0 2 0 0 29 48 64 1.05
+3 0 2 0 0 30 48 64 0.9
+3 0 2 0 0 31 48 64 0.75
+3 0 2 0 0 32 48 64 0.6
+3 0 2 0 0 33 48 64 0.45
+3 0 2 0 0 34 48 64 0.3
+3 0 2 0 0 35 48 64 0.15
+3 0 2 0 0 36 48 64 6.2803698347351e-16
+3 0 2 0 0 37 48 64 0.15
+3 0 2 0 0 38 48 64 0.3
+3 0 2 0 0 39 48 64 0.450000000000001
+3 0 2 0 0 40 48 64 0.600000000000001
+3 0 2 0 0 41 48 64 0.750000000000001
+3 0 2 0 0 42 48 64 0.900000000000001
+3 0 2 0 0 43 48 64 1.05
+3 0 2 0 0 44 48 64 1.2
+3 0 2 0 0 45 48 64 1.35
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 1.35
+4 0 2 0 0 28 48 64 1.2
+4 0 2 0 0 29 48 64 1.05
+4 0 2 0 0 30 48 64 0.9
+4 0 2 0 0 31 48 64 0.75
+4 0 2 0 0 32 48 64 0.6
+4 0 2 0 0 33 48 64 0.45
+4 0 2 0 0 34 48 64 0.3
+4 0 2 0 0 35 48 64 0.15
+4 0 2 0 0 36 48 64 6.2803698347351e-16
+4 0 2 0 0 37 48 64 0.15
+4 0 2 0 0 38 48 64 0.3
+4 0 2 0 0 39 48 64 0.450000000000001
+4 0 2 0 0 40 48 64 0.600000000000001
+4 0 2 0 0 41 48 64 0.750000000000001
+4 0 2 0 0 42 48 64 0.900000000000001
+4 0 2 0 0 43 48 64 1.05
+4 0 2 0 0 44 48 64 1.2
+4 0 2 0 0 45 48 64 1.35
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 2.7
+4 0 1 0 0 20 48 64 2.4
+4 0 1 0 0 22 48 64 2.1
+4 0 1 0 0 24 48 64 1.8
+4 0 1 0 0 26 48 64 1.5
+4 0 1 0 0 28 48 64 1.2
+4 0 1 0 0 30 48 64 0.9
+4 0 1 0 0 32 48 64 0.6
+4 0 1 0 0 34 48 64 0.3
+4 0 1 0 0 36 48 64 6.2803698347351e-16
+4 0 1 0 0 38 48 64 0.3
+4 0 1 0 0 40 48 64 0.600000000000001
+4 0 1 0 0 42 48 64 0.900000000000001
+4 0 1 0 0 44 48 64 1.2
+4 0 1 0 0 46 48 64 1.5
+4 0 1 0 0 48 48 64 1.8
+4 0 1 0 0 50 48 64 2.1
+4 0 1 0 0 52 48 64 2.4
+4 0 1 0 0 54 48 64 2.7
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 5.4
+4 0 0 0 0 4 48 64 4.8
+4 0 0 0 0 8 48 64 4.2
+4 0 0 0 0 12 48 64 3.6
+4 0 0 0 0 16 48 64 3
+4 0 0 0 0 20 48 64 2.4
+4 0 0 0 0 24 48 64 1.8
+4 0 0 0 0 28 48 64 1.2
+4 0 0 0 0 32 48 64 0.6
+4 0 0 0 0 36 48 64 6.2803698347351e-16
+4 0 0 0 0 40 48 64 0.600000000000001
+4 0 0 0 0 44 48 64 1.2
+4 0 0 0 0 48 48 64 1.8
+4 0 0 0 0 52 48 64 2.4
+4 0 0 0 0 56 48 64 3
+4 0 0 0 0 60 48 64 3.6
+4 0 0 0 0 64 48 64 4.2
+4 0 0 0 0 68 48 64 4.8
+4 0 0 0 0 72 48 64 5.4
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 1.35
+5 0 2 0 0 28 48 64 1.2
+5 0 2 0 0 29 48 64 1.05
+5 0 2 0 0 30 48 64 0.9
+5 0 2 0 0 31 48 64 0.75
+5 0 2 0 0 32 48 64 0.6
+5 0 2 0 0 33 48 64 0.45
+5 0 2 0 0 34 48 64 0.3
+5 0 2 0 0 35 48 64 0.15
+5 0 2 0 0 36 48 64 6.2803698347351e-16
+5 0 2 0 0 37 48 64 0.15
+5 0 2 0 0 38 48 64 0.3
+5 0 2 0 0 39 48 64 0.450000000000001
+5 0 2 0 0 40 48 64 0.600000000000001
+5 0 2 0 0 41 48 64 0.750000000000001
+5 0 2 0 0 42 48 64 0.900000000000001
+5 0 2 0 0 43 48 64 1.05
+5 0 2 0 0 44 48 64 1.2
+5 0 2 0 0 45 48 64 1.35
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 1.35
+6 0 2 0 0 28 48 64 1.2
+6 0 2 0 0 29 48 64 1.05
+6 0 2 0 0 30 48 64 0.9
+6 0 2 0 0 31 48 64 0.75
+6 0 2 0 0 32 48 64 0.6
+6 0 2 0 0 33 48 64 0.45
+6 0 2 0 0 34 48 64 0.3
+6 0 2 0 0 35 48 64 0.15
+6 0 2 0 0 36 48 64 6.2803698347351e-16
+6 0 2 0 0 37 48 64 0.15
+6 0 2 0 0 38 48 64 0.3
+6 0 2 0 0 39 48 64 0.450000000000001
+6 0 2 0 0 40 48 64 0.600000000000001
+6 0 2 0 0 41 48 64 0.750000000000001
+6 0 2 0 0 42 48 64 0.900000000000001
+6 0 2 0 0 43 48 64 1.05
+6 0 2 0 0 44 48 64 1.2
+6 0 2 0 0 45 48 64 1.35
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 2.7
+6 0 1 0 0 20 48 64 2.4
+6 0 1 0 0 22 48 64 2.1
+6 0 1 0 0 24 48 64 1.8
+6 0 1 0 0 26 48 64 1.5
+6 0 1 0 0 28 48 64 1.2
+6 0 1 0 0 30 48 64 0.9
+6 0 1 0 0 32 48 64 0.6
+6 0 1 0 0 34 48 64 0.3
+6 0 1 0 0 36 48 64 6.2803698347351e-16
+6 0 1 0 0 38 48 64 0.3
+6 0 1 0 0 40 48 64 0.600000000000001
+6 0 1 0 0 42 48 64 0.900000000000001
+6 0 1 0 0 44 48 64 1.2
+6 0 1 0 0 46 48 64 1.5
+6 0 1 0 0 48 48 64 1.8
+6 0 1 0 0 50 48 64 2.1
+6 0 1 0 0 52 48 64 2.4
+6 0 1 0 0 54 48 64 2.7
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 1.35
+7 0 2 0 0 28 48 64 1.2
+7 0 2 0 0 29 48 64 1.05
+7 0 2 0 0 30 48 64 0.9
+7 0 2 0 0 31 48 64 0.75
+7 0 2 0 0 32 48 64 0.6
+7 0 2 0 0 33 48 64 0.45
+7 0 2 0 0 34 48 64 0.3
+7 0 2 0 0 35 48 64 0.15
+7 0 2 0 0 36 48 64 6.2803698347351e-16
+7 0 2 0 0 37 48 64 0.15
+7 0 2 0 0 38 48 64 0.3
+7 0 2 0 0 39 48 64 0.450000000000001
+7 0 2 0 0 40 48 64 0.600000000000001
+7 0 2 0 0 41 48 64 0.750000000000001
+7 0 2 0 0 42 48 64 0.900000000000001
+7 0 2 0 0 43 48 64 1.05
+7 0 2 0 0 44 48 64 1.2
+7 0 2 0 0 45 48 64 1.35
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 1.35
+8 0 2 0 0 28 48 64 1.2
+8 0 2 0 0 29 48 64 1.05
+8 0 2 0 0 30 48 64 0.9
+8 0 2 0 0 31 48 64 0.75
+8 0 2 0 0 32 48 64 0.6
+8 0 2 0 0 33 48 64 0.45
+8 0 2 0 0 34 48 64 0.3
+8 0 2 0 0 35 48 64 0.15
+8 0 2 0 0 36 48 64 6.2803698347351e-16
+8 0 2 0 0 37 48 64 0.15
+8 0 2 0 0 38 48 64 0.3
+8 0 2 0 0 39 48 64 0.450000000000001
+8 0 2 0 0 40 48 64 0.600000000000001
+8 0 2 0 0 41 48 64 0.750000000000001
+8 0 2 0 0 42 48 64 0.900000000000001
+8 0 2 0 0 43 48 64 1.05
+8 0 2 0 0 44 48 64 1.2
+8 0 2 0 0 45 48 64 1.35
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 2.7
+8 0 1 0 0 20 48 64 2.4
+8 0 1 0 0 22 48 64 2.1
+8 0 1 0 0 24 48 64 1.8
+8 0 1 0 0 26 48 64 1.5
+8 0 1 0 0 28 48 64 1.2
+8 0 1 0 0 30 48 64 0.9
+8 0 1 0 0 32 48 64 0.6
+8 0 1 0 0 34 48 64 0.3
+8 0 1 0 0 36 48 64 6.2803698347351e-16
+8 0 1 0 0 38 48 64 0.3
+8 0 1 0 0 40 48 64 0.600000000000001
+8 0 1 0 0 42 48 64 0.900000000000001
+8 0 1 0 0 44 48 64 1.2
+8 0 1 0 0 46 48 64 1.5
+8 0 1 0 0 48 48 64 1.8
+8 0 1 0 0 50 48 64 2.1
+8 0 1 0 0 52 48 64 2.4
+8 0 1 0 0 54 48 64 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 5.4
+8 0 0 0 0 4 48 64 4.8
+8 0 0 0 0 8 48 64 4.2
+8 0 0 0 0 12 48 64 3.6
+8 0 0 0 0 16 48 64 3
+8 0 0 0 0 20 48 64 2.4
+8 0 0 0 0 24 48 64 1.8
+8 0 0 0 0 28 48 64 1.2
+8 0 0 0 0 32 48 64 0.6
+8 0 0 0 0 36 48 64 6.2803698347351e-16
+8 0 0 0 0 40 48 64 0.600000000000001
+8 0 0 0 0 44 48 64 1.2
+8 0 0 0 0 48 48 64 1.8
+8 0 0 0 0 52 48 64 2.4
+8 0 0 0 0 56 48 64 3
+8 0 0 0 0 60 48 64 3.6
+8 0 0 0 0 64 48 64 4.2
+8 0 0 0 0 68 48 64 4.8
+8 0 0 0 0 72 48 64 5.4
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 1.35
+9 0 2 0 0 28 48 64 1.2
+9 0 2 0 0 29 48 64 1.05
+9 0 2 0 0 30 48 64 0.9
+9 0 2 0 0 31 48 64 0.75
+9 0 2 0 0 32 48 64 0.6
+9 0 2 0 0 33 48 64 0.45
+9 0 2 0 0 34 48 64 0.3
+9 0 2 0 0 35 48 64 0.15
+9 0 2 0 0 36 48 64 6.2803698347351e-16
+9 0 2 0 0 37 48 64 0.15
+9 0 2 0 0 38 48 64 0.3
+9 0 2 0 0 39 48 64 0.450000000000001
+9 0 2 0 0 40 48 64 0.600000000000001
+9 0 2 0 0 41 48 64 0.750000000000001
+9 0 2 0 0 42 48 64 0.900000000000001
+9 0 2 0 0 43 48 64 1.05
+9 0 2 0 0 44 48 64 1.2
+9 0 2 0 0 45 48 64 1.35
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 1.35
+10 0 2 0 0 28 48 64 1.2
+10 0 2 0 0 29 48 64 1.05
+10 0 2 0 0 30 48 64 0.9
+10 0 2 0 0 31 48 64 0.75
+10 0 2 0 0 32 48 64 0.6
+10 0 2 0 0 33 48 64 0.45
+10 0 2 0 0 34 48 64 0.3
+10 0 2 0 0 35 48 64 0.15
+10 0 2 0 0 36 48 64 6.2803698347351e-16
+10 0 2 0 0 37 48 64 0.15
+10 0 2 0 0 38 48 64 0.3
+10 0 2 0 0 39 48 64 0.450000000000001
+10 0 2 0 0 40 48 64 0.600000000000001
+10 0 2 0 0 41 48 64 0.750000000000001
+10 0 2 0 0 42 48 64 0.900000000000001
+10 0 2 0 0 43 48 64 1.05
+10 0 2 0 0 44 48 64 1.2
+10 0 2 0 0 45 48 64 1.35
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 2.7
+10 0 1 0 0 20 48 64 2.4
+10 0 1 0 0 22 48 64 2.1
+10 0 1 0 0 24 48 64 1.8
+10 0 1 0 0 26 48 64 1.5
+10 0 1 0 0 28 48 64 1.2
+10 0 1 0 0 30 48 64 0.9
+10 0 1 0 0 32 48 64 0.6
+10 0 1 0 0 34 48 64 0.3
+10 0 1 0 0 36 48 64 6.2803698347351e-16
+10 0 1 0 0 38 48 64 0.3
+10 0 1 0 0 40 48 64 0.600000000000001
+10 0 1 0 0 42 48 64 0.900000000000001
+10 0 1 0 0 44 48 64 1.2
+10 0 1 0 0 46 48 64 1.5
+10 0 1 0 0 48 48 64 1.8
+10 0 1 0 0 50 48 64 2.1
+10 0 1 0 0 52 48 64 2.4
+10 0 1 0 0 54 48 64 2.7
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 1.35
+11 0 2 0 0 28 48 64 1.2
+11 0 2 0 0 29 48 64 1.05
+11 0 2 0 0 30 48 64 0.9
+11 0 2 0 0 31 48 64 0.75
+11 0 2 0 0 32 48 64 0.6
+11 0 2 0 0 33 48 64 0.45
+11 0 2 0 0 34 48 64 0.3
+11 0 2 0 0 35 48 64 0.15
+11 0 2 0 0 36 48 64 6.2803698347351e-16
+11 0 2 0 0 37 48 64 0.15
+11 0 2 0 0 38 48 64 0.3
+11 0 2 0 0 39 48 64 0.450000000000001
+11 0 2 0 0 40 48 64 0.600000000000001
+11 0 2 0 0 41 48 64 0.750000000000001
+11 0 2 0 0 42 48 64 0.900000000000001
+11 0 2 0 0 43 48 64 1.05
+11 0 2 0 0 44 48 64 1.2
+11 0 2 0 0 45 48 64 1.35
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 1.35
+12 0 2 0 0 28 48 64 1.2
+12 0 2 0 0 29 48 64 1.05
+12 0 2 0 0 30 48 64 0.9
+12 0 2 0 0 31 48 64 0.75
+12 0 2 0 0 32 48 64 0.6
+12 0 2 0 0 33 48 64 0.45
+12 0 2 0 0 34 48 64 0.3
+12 0 2 0 0 35 48 64 0.15
+12 0 2 0 0 36 48 64 6.2803698347351e-16
+12 0 2 0 0 37 48 64 0.15
+12 0 2 0 0 38 48 64 0.3
+12 0 2 0 0 39 48 64 0.450000000000001
+12 0 2 0 0 40 48 64 0.600000000000001
+12 0 2 0 0 41 48 64 0.750000000000001
+12 0 2 0 0 42 48 64 0.900000000000001
+12 0 2 0 0 43 48 64 1.05
+12 0 2 0 0 44 48 64 1.2
+12 0 2 0 0 45 48 64 1.35
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 2.7
+12 0 1 0 0 20 48 64 2.4
+12 0 1 0 0 22 48 64 2.1
+12 0 1 0 0 24 48 64 1.8
+12 0 1 0 0 26 48 64 1.5
+12 0 1 0 0 28 48 64 1.2
+12 0 1 0 0 30 48 64 0.9
+12 0 1 0 0 32 48 64 0.6
+12 0 1 0 0 34 48 64 0.3
+12 0 1 0 0 36 48 64 6.2803698347351e-16
+12 0 1 0 0 38 48 64 0.3
+12 0 1 0 0 40 48 64 0.600000000000001
+12 0 1 0 0 42 48 64 0.900000000000001
+12 0 1 0 0 44 48 64 1.2
+12 0 1 0 0 46 48 64 1.5
+12 0 1 0 0 48 48 64 1.8
+12 0 1 0 0 50 48 64 2.1
+12 0 1 0 0 52 48 64 2.4
+12 0 1 0 0 54 48 64 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 5.4
+12 0 0 0 0 4 48 64 4.8
+12 0 0 0 0 8 48 64 4.2
+12 0 0 0 0 12 48 64 3.6
+12 0 0 0 0 16 48 64 3
+12 0 0 0 0 20 48 64 2.4
+12 0 0 0 0 24 48 64 1.8
+12 0 0 0 0 28 48 64 1.2
+12 0 0 0 0 32 48 64 0.6
+12 0 0 0 0 36 48 64 6.2803698347351e-16
+12 0 0 0 0 40 48 64 0.600000000000001
+12 0 0 0 0 44 48 64 1.2
+12 0 0 0 0 48 48 64 1.8
+12 0 0 0 0 52 48 64 2.4
+12 0 0 0 0 56 48 64 3
+12 0 0 0 0 60 48 64 3.6
+12 0 0 0 0 64 48 64 4.2
+12 0 0 0 0 68 48 64 4.8
+12 0 0 0 0 72 48 64 5.4
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 1.35
+13 0 2 0 0 28 48 64 1.2
+13 0 2 0 0 29 48 64 1.05
+13 0 2 0 0 30 48 64 0.9
+13 0 2 0 0 31 48 64 0.75
+13 0 2 0 0 32 48 64 0.6
+13 0 2 0 0 33 48 64 0.45
+13 0 2 0 0 34 48 64 0.3
+13 0 2 0 0 35 48 64 0.15
+13 0 2 0 0 36 48 64 6.2803698347351e-16
+13 0 2 0 0 37 48 64 0.15
+13 0 2 0 0 38 48 64 0.3
+13 0 2 0 0 39 48 64 0.450000000000001
+13 0 2 0 0 40 48 64 0.600000000000001
+13 0 2 0 0 41 48 64 0.750000000000001
+13 0 2 0 0 42 48 64 0.900000000000001
+13 0 2 0 0 43 48 64 1.05
+13 0 2 0 0 44 48 64 1.2
+13 0 2 0 0 45 48 64 1.35
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 1.35
+14 0 2 0 0 28 48 64 1.2
+14 0 2 0 0 29 48 64 1.05
+14 0 2 0 0 30 48 64 0.9
+14 0 2 0 0 31 48 64 0.75
+14 0 2 0 0 32 48 64 0.6
+14 0 2 0 0 33 48 64 0.45
+14 0 2 0 0 34 48 64 0.3
+14 0 2 0 0 35 48 64 0.15
+14 0 2 0 0 36 48 64 6.2803698347351e-16
+14 0 2 0 0 37 48 64 0.15
+14 0 2 0 0 38 48 64 0.3
+14 0 2 0 0 39 48 64 0.450000000000001
+14 0 2 0 0 40 48 64 0.600000000000001
+14 0 2 0 0 41 48 64 0.750000000000001
+14 0 2 0 0 42 48 64 0.900000000000001
+14 0 2 0 0 43 48 64 1.05
+14 0 2 0 0 44 48 64 1.2
+14 0 2 0 0 45 48 64 1.35
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 2.7
+14 0 1 0 0 20 48 64 2.4
+14 0 1 0 0 22 48 64 2.1
+14 0 1 0 0 24 48 64 1.8
+14 0 1 0 0 26 48 64 1.5
+14 0 1 0 0 28 48 64 1.2
+14 0 1 0 0 30 48 64 0.9
+14 0 1 0 0 32 48 64 0.6
+14 0 1 0 0 34 48 64 0.3
+14 0 1 0 0 36 48 64 6.2803698347351e-16
+14 0 1 0 0 38 48 64 0.3
+14 0 1 0 0 40 48 64 0.600000000000001
+14 0 1 0 0 42 48 64 0.900000000000001
+14 0 1 0 0 44 48 64 1.2
+14 0 1 0 0 46 48 64 1.5
+14 0 1 0 0 48 48 64 1.8
+14 0 1 0 0 50 48 64 2.1
+14 0 1 0 0 52 48 64 2.4
+14 0 1 0 0 54 48 64 2.7
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 1.35
+15 0 2 0 0 28 48 64 1.2
+15 0 2 0 0 29 48 64 1.05
+15 0 2 0 0 30 48 64 0.9
+15 0 2 0 0 31 48 64 0.75
+15 0 2 0 0 32 48 64 0.6
+15 0 2 0 0 33 48 64 0.45
+15 0 2 0 0 34 48 64 0.3
+15 0 2 0 0 35 48 64 0.15
+15 0 2 0 0 36 48 64 6.2803698347351e-16
+15 0 2 0 0 37 48 64 0.15
+15 0 2 0 0 38 48 64 0.3
+15 0 2 0 0 39 48 64 0.450000000000001
+15 0 2 0 0 40 48 64 0.600000000000001
+15 0 2 0 0 41 48 64 0.750000000000001
+15 0 2 0 0 42 48 64 0.900000000000001
+15 0 2 0 0 43 48 64 1.05
+15 0 2 0 0 44 48 64 1.2
+15 0 2 0 0 45 48 64 1.35
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 1.35
+16 0 2 0 0 28 48 64 1.2
+16 0 2 0 0 29 48 64 1.05
+16 0 2 0 0 30 48 64 0.9
+16 0 2 0 0 31 48 64 0.75
+16 0 2 0 0 32 48 64 0.6
+16 0 2 0 0 33 48 64 0.45
+16 0 2 0 0 34 48 64 0.3
+16 0 2 0 0 35 48 64 0.15
+16 0 2 0 0 36 48 64 6.2803698347351e-16
+16 0 2 0 0 37 48 64 0.15
+16 0 2 0 0 38 48 64 0.3
+16 0 2 0 0 39 48 64 0.450000000000001
+16 0 2 0 0 40 48 64 0.600000000000001
+16 0 2 0 0 41 48 64 0.750000000000001
+16 0 2 0 0 42 48 64 0.900000000000001
+16 0 2 0 0 43 48 64 1.05
+16 0 2 0 0 44 48 64 1.2
+16 0 2 0 0 45 48 64 1.35
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 2.7
+16 0 1 0 0 20 48 64 2.4
+16 0 1 0 0 22 48 64 2.1
+16 0 1 0 0 24 48 64 1.8
+16 0 1 0 0 26 48 64 1.5
+16 0 1 0 0 28 48 64 1.2
+16 0 1 0 0 30 48 64 0.9
+16 0 1 0 0 32 48 64 0.6
+16 0 1 0 0 34 48 64 0.3
+16 0 1 0 0 36 48 64 6.2803698347351e-16
+16 0 1 0 0 38 48 64 0.3
+16 0 1 0 0 40 48 64 0.600000000000001
+16 0 1 0 0 42 48 64 0.900000000000001
+16 0 1 0 0 44 48 64 1.2
+16 0 1 0 0 46 48 64 1.5
+16 0 1 0 0 48 48 64 1.8
+16 0 1 0 0 50 48 64 2.1
+16 0 1 0 0 52 48 64 2.4
+16 0 1 0 0 54 48 64 2.7
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 5.4
+16 0 0 0 0 4 48 64 4.8
+16 0 0 0 0 8 48 64 4.2
+16 0 0 0 0 12 48 64 3.6
+16 0 0 0 0 16 48 64 3
+16 0 0 0 0 20 48 64 2.4
+16 0 0 0 0 24 48 64 1.8
+16 0 0 0 0 28 48 64 1.2
+16 0 0 0 0 32 48 64 0.6
+16 0 0 0 0 36 48 64 6.2803698347351e-16
+16 0 0 0 0 40 48 64 0.600000000000001
+16 0 0 0 0 44 48 64 1.2
+16 0 0 0 0 48 48 64 1.8
+16 0 0 0 0 52 48 64 2.4
+16 0 0 0 0 56 48 64 3
+16 0 0 0 0 60 48 64 3.6
+16 0 0 0 0 64 48 64 4.2
+16 0 0 0 0 68 48 64 4.8
+16 0 0 0 0 72 48 64 5.4
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 1.35
+17 0 2 0 0 28 48 64 1.2
+17 0 2 0 0 29 48 64 1.05
+17 0 2 0 0 30 48 64 0.9
+17 0 2 0 0 31 48 64 0.75
+17 0 2 0 0 32 48 64 0.6
+17 0 2 0 0 33 48 64 0.45
+17 0 2 0 0 34 48 64 0.3
+17 0 2 0 0 35 48 64 0.15
+17 0 2 0 0 36 48 64 6.2803698347351e-16
+17 0 2 0 0 37 48 64 0.15
+17 0 2 0 0 38 48 64 0.3
+17 0 2 0 0 39 48 64 0.450000000000001
+17 0 2 0 0 40 48 64 0.600000000000001
+17 0 2 0 0 41 48 64 0.750000000000001
+17 0 2 0 0 42 48 64 0.900000000000001
+17 0 2 0 0 43 48 64 1.05
+17 0 2 0 0 44 48 64 1.2
+17 0 2 0 0 45 48 64 1.35
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 1.35
+18 0 2 0 0 28 48 64 1.2
+18 0 2 0 0 29 48 64 1.05
+18 0 2 0 0 30 48 64 0.9
+18 0 2 0 0 31 48 64 0.75
+18 0 2 0 0 32 48 64 0.6
+18 0 2 0 0 33 48 64 0.45
+18 0 2 0 0 34 48 64 0.3
+18 0 2 0 0 35 48 64 0.15
+18 0 2 0 0 36 48 64 6.2803698347351e-16
+18 0 2 0 0 37 48 64 0.15
+18 0 2 0 0 38 48 64 0.3
+18 0 2 0 0 39 48 64 0.450000000000001
+18 0 2 0 0 40 48 64 0.600000000000001
+18 0 2 0 0 41 48 64 0.750000000000001
+18 0 2 0 0 42 48 64 0.900000000000001
+18 0 2 0 0 43 48 64 1.05
+18 0 2 0 0 44 48 64 1.2
+18 0 2 0 0 45 48 64 1.35
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 2.7
+18 0 1 0 0 20 48 64 2.4
+18 0 1 0 0 22 48 64 2.1
+18 0 1 0 0 24 48 64 1.8
+18 0 1 0 0 26 48 64 1.5
+18 0 1 0 0 28 48 64 1.2
+18 0 1 0 0 30 48 64 0.9
+18 0 1 0 0 32 48 64 0.6
+18 0 1 0 0 34 48 64 0.3
+18 0 1 0 0 36 48 64 6.2803698347351e-16
+18 0 1 0 0 38 48 64 0.3
+18 0 1 0 0 40 48 64 0.600000000000001
+18 0 1 0 0 42 48 64 0.900000000000001
+18 0 1 0 0 44 48 64 1.2
+18 0 1 0 0 46 48 64 1.5
+18 0 1 0 0 48 48 64 1.8
+18 0 1 0 0 50 48 64 2.1
+18 0 1 0 0 52 48 64 2.4
+18 0 1 0 0 54 48 64 2.7
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 1.35
+19 0 2 0 0 28 48 64 1.2
+19 0 2 0 0 29 48 64 1.05
+19 0 2 0 0 30 48 64 0.9
+19 0 2 0 0 31 48 64 0.75
+19 0 2 0 0 32 48 64 0.6
+19 0 2 0 0 33 48 64 0.45
+19 0 2 0 0 34 48 64 0.3
+19 0 2 0 0 35 48 64 0.15
+19 0 2 0 0 36 48 64 6.2803698347351e-16
+19 0 2 0 0 37 48 64 0.15
+19 0 2 0 0 38 48 64 0.3
+19 0 2 0 0 39 48 64 0.450000000000001
+19 0 2 0 0 40 48 64 0.600000000000001
+19 0 2 0 0 41 48 64 0.750000000000001
+19 0 2 0 0 42 48 64 0.900000000000001
+19 0 2 0 0 43 48 64 1.05
+19 0 2 0 0 44 48 64 1.2
+19 0 2 0 0 45 48 64 1.35
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 1.35
+20 0 2 0 0 28 48 64 1.2
+20 0 2 0 0 29 48 64 1.05
+20 0 2 0 0 30 48 64 0.9
+20 0 2 0 0 31 48 64 0.75
+20 0 2 0 0 32 48 64 0.6
+20 0 2 0 0 33 48 64 0.45
+20 0 2 0 0 34 48 64 0.3
+20 0 2 0 0 35 48 64 0.15
+20 0 2 0 0 36 48 64 6.2803698347351e-16
+20 0 2 0 0 37 48 64 0.15
+20 0 2 0 0 38 48 64 0.3
+20 0 2 0 0 39 48 64 0.450000000000001
+20 0 2 0 0 40 48 64 0.600000000000001
+20 0 2 0 0 41 48 64 0.750000000000001
+20 0 2 0 0 42 48 64 0.900000000000001
+20 0 2 0 0 43 48 64 1.05
+20 0 2 0 0 44 48 64 1.2
+20 0 2 0 0 45 48 64 1.35
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 2.7
+20 0 1 0 0 20 48 64 2.4
+20 0 1 0 0 22 48 64 2.1
+20 0 1 0 0 24 48 64 1.8
+20 0 1 0 0 26 48 64 1.5
+20 0 1 0 0 28 48 64 1.2
+20 0 1 0 0 30 48 64 0.9
+20 0 1 0 0 32 48 64 0.6
+20 0 1 0 0 34 48 64 0.3
+20 0 1 0 0 36 48 64 6.2803698347351e-16
+20 0 1 0 0 38 48 64 0.3
+20 0 1 0 0 40 48 64 0.600000000000001
+20 0 1 0 0 42 48 64 0.900000000000001
+20 0 1 0 0 44 48 64 1.2
+20 0 1 0 0 46 48 64 1.5
+20 0 1 0 0 48 48 64 1.8
+20 0 1 0 0 50 48 64 2.1
+20 0 1 0 0 52 48 64 2.4
+20 0 1 0 0 54 48 64 2.7
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 5.4
+20 0 0 0 0 4 48 64 4.8
+20 0 0 0 0 8 48 64 4.2
+20 0 0 0 0 12 48 64 3.6
+20 0 0 0 0 16 48 64 3
+20 0 0 0 0 20 48 64 2.4
+20 0 0 0 0 24 48 64 1.8
+20 0 0 0 0 28 48 64 1.2
+20 0 0 0 0 32 48 64 0.6
+20 0 0 0 0 36 48 64 6.2803698347351e-16
+20 0 0 0 0 40 48 64 0.600000000000001
+20 0 0 0 0 44 48 64 1.2
+20 0 0 0 0 48 48 64 1.8
+20 0 0 0 0 52 48 64 2.4
+20 0 0 0 0 56 48 64 3
+20 0 0 0 0 60 48 64 3.6
+20 0 0 0 0 64 48 64 4.2
+20 0 0 0 0 68 48 64 4.8
+20 0 0 0 0 72 48 64 5.4
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 1.35
+21 0 2 0 0 28 48 64 1.2
+21 0 2 0 0 29 48 64 1.05
+21 0 2 0 0 30 48 64 0.9
+21 0 2 0 0 31 48 64 0.75
+21 0 2 0 0 32 48 64 0.6
+21 0 2 0 0 33 48 64 0.45
+21 0 2 0 0 34 48 64 0.3
+21 0 2 0 0 35 48 64 0.15
+21 0 2 0 0 36 48 64 6.2803698347351e-16
+21 0 2 0 0 37 48 64 0.15
+21 0 2 0 0 38 48 64 0.3
+21 0 2 0 0 39 48 64 0.450000000000001
+21 0 2 0 0 40 48 64 0.600000000000001
+21 0 2 0 0 41 48 64 0.750000000000001
+21 0 2 0 0 42 48 64 0.900000000000001
+21 0 2 0 0 43 48 64 1.05
+21 0 2 0 0 44 48 64 1.2
+21 0 2 0 0 45 48 64 1.35
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 1.35
+22 0 2 0 0 28 48 64 1.2
+22 0 2 0 0 29 48 64 1.05
+22 0 2 0 0 30 48 64 0.9
+22 0 2 0 0 31 48 64 0.75
+22 0 2 0 0 32 48 64 0.6
+22 0 2 0 0 33 48 64 0.45
+22 0 2 0 0 34 48 64 0.3
+22 0 2 0 0 35 48 64 0.15
+22 0 2 0 0 36 48 64 6.2803698347351e-16
+22 0 2 0 0 37 48 64 0.15
+22 0 2 0 0 38 48 64 0.3
+22 0 2 0 0 39 48 64 0.450000000000001
+22 0 2 0 0 40 48 64 0.600000000000001
+22 0 2 0 0 41 48 64 0.750000000000001
+22 0 2 0 0 42 48 64 0.900000000000001
+22 0 2 0 0 43 48 64 1.05
+22 0 2 0 0 44 48 64 1.2
+22 0 2 0 0 45 48 64 1.35
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 2.7
+22 0 1 0 0 20 48 64 2.4
+22 0 1 0 0 22 48 64 2.1
+22 0 1 0 0 24 48 64 1.8
+22 0 1 0 0 26 48 64 1.5
+22 0 1 0 0 28 48 64 1.2
+22 0 1 0 0 30 48 64 0.9
+22 0 1 0 0 32 48 64 0.6
+22 0 1 0 0 34 48 64 0.3
+22 0 1 0 0 36 48 64 6.2803698347351e-16
+22 0 1 0 0 38 48 64 0.3
+22 0 1 0 0 40 48 64 0.600000000000001
+22 0 1 0 0 42 48 64 0.900000000000001
+22 0 1 0 0 44 48 64 1.2
+22 0 1 0 0 46 48 64 1.5
+22 0 1 0 0 48 48 64 1.8
+22 0 1 0 0 50 48 64 2.1
+22 0 1 0 0 52 48 64 2.4
+22 0 1 0 0 54 48 64 2.7
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 1.35
+23 0 2 0 0 28 48 64 1.2
+23 0 2 0 0 29 48 64 1.05
+23 0 2 0 0 30 48 64 0.9
+23 0 2 0 0 31 48 64 0.75
+23 0 2 0 0 32 48 64 0.6
+23 0 2 0 0 33 48 64 0.45
+23 0 2 0 0 34 48 64 0.3
+23 0 2 0 0 35 48 64 0.15
+23 0 2 0 0 36 48 64 6.2803698347351e-16
+23 0 2 0 0 37 48 64 0.15
+23 0 2 0 0 38 48 64 0.3
+23 0 2 0 0 39 48 64 0.450000000000001
+23 0 2 0 0 40 48 64 0.600000000000001
+23 0 2 0 0 41 48 64 0.750000000000001
+23 0 2 0 0 42 48 64 0.900000000000001
+23 0 2 0 0 43 48 64 1.05
+23 0 2 0 0 44 48 64 1.2
+23 0 2 0 0 45 48 64 1.35
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 1.35
+24 0 2 0 0 28 48 64 1.2
+24 0 2 0 0 29 48 64 1.05
+24 0 2 0 0 30 48 64 0.9
+24 0 2 0 0 31 48 64 0.75
+24 0 2 0 0 32 48 64 0.6
+24 0 2 0 0 33 48 64 0.45
+24 0 2 0 0 34 48 64 0.3
+24 0 2 0 0 35 48 64 0.15
+24 0 2 0 0 36 48 64 6.2803698347351e-16
+24 0 2 0 0 37 48 64 0.15
+24 0 2 0 0 38 48 64 0.3
+24 0 2 0 0 39 48 64 0.450000000000001
+24 0 2 0 0 40 48 64 0.600000000000001
+24 0 2 0 0 41 48 64 0.750000000000001
+24 0 2 0 0 42 48 64 0.900000000000001
+24 0 2 0 0 43 48 64 1.05
+24 0 2 0 0 44 48 64 1.2
+24 0 2 0 0 45 48 64 1.35
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 2.7
+24 0 1 0 0 20 48 64 2.4
+24 0 1 0 0 22 48 64 2.1
+24 0 1 0 0 24 48 64 1.8
+24 0 1 0 0 26 48 64 1.5
+24 0 1 0 0 28 48 64 1.2
+24 0 1 0 0 30 48 64 0.9
+24 0 1 0 0 32 48 64 0.6
+24 0 1 0 0 34 48 64 0.3
+24 0 1 0 0 36 48 64 6.2803698347351e-16
+24 0 1 0 0 38 48 64 0.3
+24 0 1 0 0 40 48 64 0.600000000000001
+24 0 1 0 0 42 48 64 0.900000000000001
+24 0 1 0 0 44 48 64 1.2
+24 0 1 0 0 46 48 64 1.5
+24 0 1 0 0 48 48 64 1.8
+24 0 1 0 0 50 48 64 2.1
+24 0 1 0 0 52 48 64 2.4
+24 0 1 0 0 54 48 64 2.7
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 5.4
+24 0 0 0 0 4 48 64 4.8
+24 0 0 0 0 8 48 64 4.2
+24 0 0 0 0 12 48 64 3.6
+24 0 0 0 0 16 48 64 3
+24 0 0 0 0 20 48 64 2.4
+24 0 0 0 0 24 48 64 1.8
+24 0 0 0 0 28 48 64 1.2
+24 0 0 0 0 32 48 64 0.6
+24 0 0 0 0 36 48 64 6.2803698347351e-16
+24 0 0 0 0 40 48 64 0.600000000000001
+24 0 0 0 0 44 48 64 1.2
+24 0 0 0 0 48 48 64 1.8
+24 0 0 0 0 52 48 64 2.4
+24 0 0 0 0 56 48 64 3
+24 0 0 0 0 60 48 64 3.6
+24 0 0 0 0 64 48 64 4.2
+24 0 0 0 0 68 48 64 4.8
+24 0 0 0 0 72 48 64 5.4
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/spher3d_r.yl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/spher3d_r.yl
new file mode 100644
index 000000000..f281181d4
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/spher3d_r.yl
@@ -0,0 +1,1397 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 1.35
+0 0 2 0 0 36 40 64 1.2
+0 0 2 0 0 36 41 64 1.05
+0 0 2 0 0 36 42 64 0.9
+0 0 2 0 0 36 43 64 0.75
+0 0 2 0 0 36 44 64 0.6
+0 0 2 0 0 36 45 64 0.45
+0 0 2 0 0 36 46 64 0.3
+0 0 2 0 0 36 47 64 0.15
+0 0 2 0 0 36 48 64 6.2803698347351e-16
+0 0 2 0 0 36 49 64 0.15
+0 0 2 0 0 36 50 64 0.3
+0 0 2 0 0 36 51 64 0.45
+0 0 2 0 0 36 52 64 0.6
+0 0 2 0 0 36 53 64 0.75
+0 0 2 0 0 36 54 64 0.899999999999999
+0 0 2 0 0 36 55 64 1.05
+0 0 2 0 0 36 56 64 1.2
+0 0 2 0 0 36 57 64 1.35
+0 0 2 0 0 36 58 64 1.5
+0 0 2 0 0 36 59 64 1.65
+0 0 2 0 0 36 60 64 1.8
+0 0 2 0 0 36 61 64 1.95
+0 0 2 0 0 36 62 64 2.1
+0 0 2 0 0 36 63 64 2.25
+0 0 2 0 0 36 64 64 2.4
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 3.3
+0 0 1 0 0 36 28 64 3
+0 0 1 0 0 36 30 64 2.7
+0 0 1 0 0 36 32 64 2.4
+0 0 1 0 0 36 34 64 2.1
+0 0 1 0 0 36 36 64 1.8
+0 0 1 0 0 36 38 64 1.5
+0 0 1 0 0 36 40 64 1.2
+0 0 1 0 0 36 42 64 0.9
+0 0 1 0 0 36 44 64 0.6
+0 0 1 0 0 36 46 64 0.3
+0 0 1 0 0 36 48 64 6.2803698347351e-16
+0 0 1 0 0 36 50 64 0.3
+0 0 1 0 0 36 52 64 0.6
+0 0 1 0 0 36 54 64 0.899999999999999
+0 0 1 0 0 36 56 64 1.2
+0 0 1 0 0 36 58 64 1.5
+0 0 1 0 0 36 60 64 1.8
+0 0 1 0 0 36 62 64 2.1
+0 0 1 0 0 36 64 64 2.4
+0 0 1 0 0 36 66 64 2.7
+0 0 1 0 0 36 68 64 3
+0 0 1 0 0 36 70 64 3.3
+0 0 1 0 0 36 72 64 3.6
+0 0 1 0 0 36 74 64 3.9
+0 0 1 0 0 36 76 64 4.2
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 7.2
+0 0 0 0 0 36 4 64 6.6
+0 0 0 0 0 36 8 64 6
+0 0 0 0 0 36 12 64 5.4
+0 0 0 0 0 36 16 64 4.8
+0 0 0 0 0 36 20 64 4.2
+0 0 0 0 0 36 24 64 3.6
+0 0 0 0 0 36 28 64 3
+0 0 0 0 0 36 32 64 2.4
+0 0 0 0 0 36 36 64 1.8
+0 0 0 0 0 36 40 64 1.2
+0 0 0 0 0 36 44 64 0.6
+0 0 0 0 0 36 48 64 6.2803698347351e-16
+0 0 0 0 0 36 52 64 0.6
+0 0 0 0 0 36 56 64 1.2
+0 0 0 0 0 36 60 64 1.8
+0 0 0 0 0 36 64 64 2.4
+0 0 0 0 0 36 68 64 3
+0 0 0 0 0 36 72 64 3.6
+0 0 0 0 0 36 76 64 4.2
+0 0 0 0 0 36 80 64 4.8
+0 0 0 0 0 36 84 64 5.4
+0 0 0 0 0 36 88 64 6
+0 0 0 0 0 36 92 64 6.6
+0 0 0 0 0 36 96 64 7.2
+0 0 0 0 0 36 100 64 7.8
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 1.35
+1 0 2 0 0 36 40 64 1.2
+1 0 2 0 0 36 41 64 1.05
+1 0 2 0 0 36 42 64 0.9
+1 0 2 0 0 36 43 64 0.75
+1 0 2 0 0 36 44 64 0.6
+1 0 2 0 0 36 45 64 0.45
+1 0 2 0 0 36 46 64 0.3
+1 0 2 0 0 36 47 64 0.15
+1 0 2 0 0 36 48 64 6.2803698347351e-16
+1 0 2 0 0 36 49 64 0.15
+1 0 2 0 0 36 50 64 0.3
+1 0 2 0 0 36 51 64 0.45
+1 0 2 0 0 36 52 64 0.6
+1 0 2 0 0 36 53 64 0.75
+1 0 2 0 0 36 54 64 0.899999999999999
+1 0 2 0 0 36 55 64 1.05
+1 0 2 0 0 36 56 64 1.2
+1 0 2 0 0 36 57 64 1.35
+1 0 2 0 0 36 58 64 1.5
+1 0 2 0 0 36 59 64 1.65
+1 0 2 0 0 36 60 64 1.8
+1 0 2 0 0 36 61 64 1.95
+1 0 2 0 0 36 62 64 2.1
+1 0 2 0 0 36 63 64 2.25
+1 0 2 0 0 36 64 64 2.4
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 1.35
+2 0 2 0 0 36 40 64 1.2
+2 0 2 0 0 36 41 64 1.05
+2 0 2 0 0 36 42 64 0.9
+2 0 2 0 0 36 43 64 0.75
+2 0 2 0 0 36 44 64 0.6
+2 0 2 0 0 36 45 64 0.45
+2 0 2 0 0 36 46 64 0.3
+2 0 2 0 0 36 47 64 0.15
+2 0 2 0 0 36 48 64 6.2803698347351e-16
+2 0 2 0 0 36 49 64 0.15
+2 0 2 0 0 36 50 64 0.3
+2 0 2 0 0 36 51 64 0.45
+2 0 2 0 0 36 52 64 0.6
+2 0 2 0 0 36 53 64 0.75
+2 0 2 0 0 36 54 64 0.899999999999999
+2 0 2 0 0 36 55 64 1.05
+2 0 2 0 0 36 56 64 1.2
+2 0 2 0 0 36 57 64 1.35
+2 0 2 0 0 36 58 64 1.5
+2 0 2 0 0 36 59 64 1.65
+2 0 2 0 0 36 60 64 1.8
+2 0 2 0 0 36 61 64 1.95
+2 0 2 0 0 36 62 64 2.1
+2 0 2 0 0 36 63 64 2.25
+2 0 2 0 0 36 64 64 2.4
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 3.3
+2 0 1 0 0 36 28 64 3
+2 0 1 0 0 36 30 64 2.7
+2 0 1 0 0 36 32 64 2.4
+2 0 1 0 0 36 34 64 2.1
+2 0 1 0 0 36 36 64 1.8
+2 0 1 0 0 36 38 64 1.5
+2 0 1 0 0 36 40 64 1.2
+2 0 1 0 0 36 42 64 0.9
+2 0 1 0 0 36 44 64 0.6
+2 0 1 0 0 36 46 64 0.3
+2 0 1 0 0 36 48 64 6.2803698347351e-16
+2 0 1 0 0 36 50 64 0.3
+2 0 1 0 0 36 52 64 0.6
+2 0 1 0 0 36 54 64 0.899999999999999
+2 0 1 0 0 36 56 64 1.2
+2 0 1 0 0 36 58 64 1.5
+2 0 1 0 0 36 60 64 1.8
+2 0 1 0 0 36 62 64 2.1
+2 0 1 0 0 36 64 64 2.4
+2 0 1 0 0 36 66 64 2.7
+2 0 1 0 0 36 68 64 3
+2 0 1 0 0 36 70 64 3.3
+2 0 1 0 0 36 72 64 3.6
+2 0 1 0 0 36 74 64 3.9
+2 0 1 0 0 36 76 64 4.2
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 1.35
+3 0 2 0 0 36 40 64 1.2
+3 0 2 0 0 36 41 64 1.05
+3 0 2 0 0 36 42 64 0.9
+3 0 2 0 0 36 43 64 0.75
+3 0 2 0 0 36 44 64 0.6
+3 0 2 0 0 36 45 64 0.45
+3 0 2 0 0 36 46 64 0.3
+3 0 2 0 0 36 47 64 0.15
+3 0 2 0 0 36 48 64 6.2803698347351e-16
+3 0 2 0 0 36 49 64 0.15
+3 0 2 0 0 36 50 64 0.3
+3 0 2 0 0 36 51 64 0.45
+3 0 2 0 0 36 52 64 0.6
+3 0 2 0 0 36 53 64 0.75
+3 0 2 0 0 36 54 64 0.899999999999999
+3 0 2 0 0 36 55 64 1.05
+3 0 2 0 0 36 56 64 1.2
+3 0 2 0 0 36 57 64 1.35
+3 0 2 0 0 36 58 64 1.5
+3 0 2 0 0 36 59 64 1.65
+3 0 2 0 0 36 60 64 1.8
+3 0 2 0 0 36 61 64 1.95
+3 0 2 0 0 36 62 64 2.1
+3 0 2 0 0 36 63 64 2.25
+3 0 2 0 0 36 64 64 2.4
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 1.35
+4 0 2 0 0 36 40 64 1.2
+4 0 2 0 0 36 41 64 1.05
+4 0 2 0 0 36 42 64 0.9
+4 0 2 0 0 36 43 64 0.75
+4 0 2 0 0 36 44 64 0.6
+4 0 2 0 0 36 45 64 0.45
+4 0 2 0 0 36 46 64 0.3
+4 0 2 0 0 36 47 64 0.15
+4 0 2 0 0 36 48 64 6.2803698347351e-16
+4 0 2 0 0 36 49 64 0.15
+4 0 2 0 0 36 50 64 0.3
+4 0 2 0 0 36 51 64 0.45
+4 0 2 0 0 36 52 64 0.6
+4 0 2 0 0 36 53 64 0.75
+4 0 2 0 0 36 54 64 0.899999999999999
+4 0 2 0 0 36 55 64 1.05
+4 0 2 0 0 36 56 64 1.2
+4 0 2 0 0 36 57 64 1.35
+4 0 2 0 0 36 58 64 1.5
+4 0 2 0 0 36 59 64 1.65
+4 0 2 0 0 36 60 64 1.8
+4 0 2 0 0 36 61 64 1.95
+4 0 2 0 0 36 62 64 2.1
+4 0 2 0 0 36 63 64 2.25
+4 0 2 0 0 36 64 64 2.4
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 3.3
+4 0 1 0 0 36 28 64 3
+4 0 1 0 0 36 30 64 2.7
+4 0 1 0 0 36 32 64 2.4
+4 0 1 0 0 36 34 64 2.1
+4 0 1 0 0 36 36 64 1.8
+4 0 1 0 0 36 38 64 1.5
+4 0 1 0 0 36 40 64 1.2
+4 0 1 0 0 36 42 64 0.9
+4 0 1 0 0 36 44 64 0.6
+4 0 1 0 0 36 46 64 0.3
+4 0 1 0 0 36 48 64 6.2803698347351e-16
+4 0 1 0 0 36 50 64 0.3
+4 0 1 0 0 36 52 64 0.6
+4 0 1 0 0 36 54 64 0.899999999999999
+4 0 1 0 0 36 56 64 1.2
+4 0 1 0 0 36 58 64 1.5
+4 0 1 0 0 36 60 64 1.8
+4 0 1 0 0 36 62 64 2.1
+4 0 1 0 0 36 64 64 2.4
+4 0 1 0 0 36 66 64 2.7
+4 0 1 0 0 36 68 64 3
+4 0 1 0 0 36 70 64 3.3
+4 0 1 0 0 36 72 64 3.6
+4 0 1 0 0 36 74 64 3.9
+4 0 1 0 0 36 76 64 4.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 7.2
+4 0 0 0 0 36 4 64 6.6
+4 0 0 0 0 36 8 64 6
+4 0 0 0 0 36 12 64 5.4
+4 0 0 0 0 36 16 64 4.8
+4 0 0 0 0 36 20 64 4.2
+4 0 0 0 0 36 24 64 3.6
+4 0 0 0 0 36 28 64 3
+4 0 0 0 0 36 32 64 2.4
+4 0 0 0 0 36 36 64 1.8
+4 0 0 0 0 36 40 64 1.2
+4 0 0 0 0 36 44 64 0.6
+4 0 0 0 0 36 48 64 6.2803698347351e-16
+4 0 0 0 0 36 52 64 0.6
+4 0 0 0 0 36 56 64 1.2
+4 0 0 0 0 36 60 64 1.8
+4 0 0 0 0 36 64 64 2.4
+4 0 0 0 0 36 68 64 3
+4 0 0 0 0 36 72 64 3.6
+4 0 0 0 0 36 76 64 4.2
+4 0 0 0 0 36 80 64 4.8
+4 0 0 0 0 36 84 64 5.4
+4 0 0 0 0 36 88 64 6
+4 0 0 0 0 36 92 64 6.6
+4 0 0 0 0 36 96 64 7.2
+4 0 0 0 0 36 100 64 7.8
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 1.35
+5 0 2 0 0 36 40 64 1.2
+5 0 2 0 0 36 41 64 1.05
+5 0 2 0 0 36 42 64 0.9
+5 0 2 0 0 36 43 64 0.75
+5 0 2 0 0 36 44 64 0.6
+5 0 2 0 0 36 45 64 0.45
+5 0 2 0 0 36 46 64 0.3
+5 0 2 0 0 36 47 64 0.15
+5 0 2 0 0 36 48 64 6.2803698347351e-16
+5 0 2 0 0 36 49 64 0.15
+5 0 2 0 0 36 50 64 0.3
+5 0 2 0 0 36 51 64 0.45
+5 0 2 0 0 36 52 64 0.6
+5 0 2 0 0 36 53 64 0.75
+5 0 2 0 0 36 54 64 0.899999999999999
+5 0 2 0 0 36 55 64 1.05
+5 0 2 0 0 36 56 64 1.2
+5 0 2 0 0 36 57 64 1.35
+5 0 2 0 0 36 58 64 1.5
+5 0 2 0 0 36 59 64 1.65
+5 0 2 0 0 36 60 64 1.8
+5 0 2 0 0 36 61 64 1.95
+5 0 2 0 0 36 62 64 2.1
+5 0 2 0 0 36 63 64 2.25
+5 0 2 0 0 36 64 64 2.4
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 1.35
+6 0 2 0 0 36 40 64 1.2
+6 0 2 0 0 36 41 64 1.05
+6 0 2 0 0 36 42 64 0.9
+6 0 2 0 0 36 43 64 0.75
+6 0 2 0 0 36 44 64 0.6
+6 0 2 0 0 36 45 64 0.45
+6 0 2 0 0 36 46 64 0.3
+6 0 2 0 0 36 47 64 0.15
+6 0 2 0 0 36 48 64 6.2803698347351e-16
+6 0 2 0 0 36 49 64 0.15
+6 0 2 0 0 36 50 64 0.3
+6 0 2 0 0 36 51 64 0.45
+6 0 2 0 0 36 52 64 0.6
+6 0 2 0 0 36 53 64 0.75
+6 0 2 0 0 36 54 64 0.899999999999999
+6 0 2 0 0 36 55 64 1.05
+6 0 2 0 0 36 56 64 1.2
+6 0 2 0 0 36 57 64 1.35
+6 0 2 0 0 36 58 64 1.5
+6 0 2 0 0 36 59 64 1.65
+6 0 2 0 0 36 60 64 1.8
+6 0 2 0 0 36 61 64 1.95
+6 0 2 0 0 36 62 64 2.1
+6 0 2 0 0 36 63 64 2.25
+6 0 2 0 0 36 64 64 2.4
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 3.3
+6 0 1 0 0 36 28 64 3
+6 0 1 0 0 36 30 64 2.7
+6 0 1 0 0 36 32 64 2.4
+6 0 1 0 0 36 34 64 2.1
+6 0 1 0 0 36 36 64 1.8
+6 0 1 0 0 36 38 64 1.5
+6 0 1 0 0 36 40 64 1.2
+6 0 1 0 0 36 42 64 0.9
+6 0 1 0 0 36 44 64 0.6
+6 0 1 0 0 36 46 64 0.3
+6 0 1 0 0 36 48 64 6.2803698347351e-16
+6 0 1 0 0 36 50 64 0.3
+6 0 1 0 0 36 52 64 0.6
+6 0 1 0 0 36 54 64 0.899999999999999
+6 0 1 0 0 36 56 64 1.2
+6 0 1 0 0 36 58 64 1.5
+6 0 1 0 0 36 60 64 1.8
+6 0 1 0 0 36 62 64 2.1
+6 0 1 0 0 36 64 64 2.4
+6 0 1 0 0 36 66 64 2.7
+6 0 1 0 0 36 68 64 3
+6 0 1 0 0 36 70 64 3.3
+6 0 1 0 0 36 72 64 3.6
+6 0 1 0 0 36 74 64 3.9
+6 0 1 0 0 36 76 64 4.2
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 1.35
+7 0 2 0 0 36 40 64 1.2
+7 0 2 0 0 36 41 64 1.05
+7 0 2 0 0 36 42 64 0.9
+7 0 2 0 0 36 43 64 0.75
+7 0 2 0 0 36 44 64 0.6
+7 0 2 0 0 36 45 64 0.45
+7 0 2 0 0 36 46 64 0.3
+7 0 2 0 0 36 47 64 0.15
+7 0 2 0 0 36 48 64 6.2803698347351e-16
+7 0 2 0 0 36 49 64 0.15
+7 0 2 0 0 36 50 64 0.3
+7 0 2 0 0 36 51 64 0.45
+7 0 2 0 0 36 52 64 0.6
+7 0 2 0 0 36 53 64 0.75
+7 0 2 0 0 36 54 64 0.899999999999999
+7 0 2 0 0 36 55 64 1.05
+7 0 2 0 0 36 56 64 1.2
+7 0 2 0 0 36 57 64 1.35
+7 0 2 0 0 36 58 64 1.5
+7 0 2 0 0 36 59 64 1.65
+7 0 2 0 0 36 60 64 1.8
+7 0 2 0 0 36 61 64 1.95
+7 0 2 0 0 36 62 64 2.1
+7 0 2 0 0 36 63 64 2.25
+7 0 2 0 0 36 64 64 2.4
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 1.35
+8 0 2 0 0 36 40 64 1.2
+8 0 2 0 0 36 41 64 1.05
+8 0 2 0 0 36 42 64 0.9
+8 0 2 0 0 36 43 64 0.75
+8 0 2 0 0 36 44 64 0.6
+8 0 2 0 0 36 45 64 0.45
+8 0 2 0 0 36 46 64 0.3
+8 0 2 0 0 36 47 64 0.15
+8 0 2 0 0 36 48 64 6.2803698347351e-16
+8 0 2 0 0 36 49 64 0.15
+8 0 2 0 0 36 50 64 0.3
+8 0 2 0 0 36 51 64 0.45
+8 0 2 0 0 36 52 64 0.6
+8 0 2 0 0 36 53 64 0.75
+8 0 2 0 0 36 54 64 0.899999999999999
+8 0 2 0 0 36 55 64 1.05
+8 0 2 0 0 36 56 64 1.2
+8 0 2 0 0 36 57 64 1.35
+8 0 2 0 0 36 58 64 1.5
+8 0 2 0 0 36 59 64 1.65
+8 0 2 0 0 36 60 64 1.8
+8 0 2 0 0 36 61 64 1.95
+8 0 2 0 0 36 62 64 2.1
+8 0 2 0 0 36 63 64 2.25
+8 0 2 0 0 36 64 64 2.4
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 3.3
+8 0 1 0 0 36 28 64 3
+8 0 1 0 0 36 30 64 2.7
+8 0 1 0 0 36 32 64 2.4
+8 0 1 0 0 36 34 64 2.1
+8 0 1 0 0 36 36 64 1.8
+8 0 1 0 0 36 38 64 1.5
+8 0 1 0 0 36 40 64 1.2
+8 0 1 0 0 36 42 64 0.9
+8 0 1 0 0 36 44 64 0.6
+8 0 1 0 0 36 46 64 0.3
+8 0 1 0 0 36 48 64 6.2803698347351e-16
+8 0 1 0 0 36 50 64 0.3
+8 0 1 0 0 36 52 64 0.6
+8 0 1 0 0 36 54 64 0.899999999999999
+8 0 1 0 0 36 56 64 1.2
+8 0 1 0 0 36 58 64 1.5
+8 0 1 0 0 36 60 64 1.8
+8 0 1 0 0 36 62 64 2.1
+8 0 1 0 0 36 64 64 2.4
+8 0 1 0 0 36 66 64 2.7
+8 0 1 0 0 36 68 64 3
+8 0 1 0 0 36 70 64 3.3
+8 0 1 0 0 36 72 64 3.6
+8 0 1 0 0 36 74 64 3.9
+8 0 1 0 0 36 76 64 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 7.2
+8 0 0 0 0 36 4 64 6.6
+8 0 0 0 0 36 8 64 6
+8 0 0 0 0 36 12 64 5.4
+8 0 0 0 0 36 16 64 4.8
+8 0 0 0 0 36 20 64 4.2
+8 0 0 0 0 36 24 64 3.6
+8 0 0 0 0 36 28 64 3
+8 0 0 0 0 36 32 64 2.4
+8 0 0 0 0 36 36 64 1.8
+8 0 0 0 0 36 40 64 1.2
+8 0 0 0 0 36 44 64 0.6
+8 0 0 0 0 36 48 64 6.2803698347351e-16
+8 0 0 0 0 36 52 64 0.6
+8 0 0 0 0 36 56 64 1.2
+8 0 0 0 0 36 60 64 1.8
+8 0 0 0 0 36 64 64 2.4
+8 0 0 0 0 36 68 64 3
+8 0 0 0 0 36 72 64 3.6
+8 0 0 0 0 36 76 64 4.2
+8 0 0 0 0 36 80 64 4.8
+8 0 0 0 0 36 84 64 5.4
+8 0 0 0 0 36 88 64 6
+8 0 0 0 0 36 92 64 6.6
+8 0 0 0 0 36 96 64 7.2
+8 0 0 0 0 36 100 64 7.8
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 1.35
+9 0 2 0 0 36 40 64 1.2
+9 0 2 0 0 36 41 64 1.05
+9 0 2 0 0 36 42 64 0.9
+9 0 2 0 0 36 43 64 0.75
+9 0 2 0 0 36 44 64 0.6
+9 0 2 0 0 36 45 64 0.45
+9 0 2 0 0 36 46 64 0.3
+9 0 2 0 0 36 47 64 0.15
+9 0 2 0 0 36 48 64 6.2803698347351e-16
+9 0 2 0 0 36 49 64 0.15
+9 0 2 0 0 36 50 64 0.3
+9 0 2 0 0 36 51 64 0.45
+9 0 2 0 0 36 52 64 0.6
+9 0 2 0 0 36 53 64 0.75
+9 0 2 0 0 36 54 64 0.899999999999999
+9 0 2 0 0 36 55 64 1.05
+9 0 2 0 0 36 56 64 1.2
+9 0 2 0 0 36 57 64 1.35
+9 0 2 0 0 36 58 64 1.5
+9 0 2 0 0 36 59 64 1.65
+9 0 2 0 0 36 60 64 1.8
+9 0 2 0 0 36 61 64 1.95
+9 0 2 0 0 36 62 64 2.1
+9 0 2 0 0 36 63 64 2.25
+9 0 2 0 0 36 64 64 2.4
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 1.35
+10 0 2 0 0 36 40 64 1.2
+10 0 2 0 0 36 41 64 1.05
+10 0 2 0 0 36 42 64 0.9
+10 0 2 0 0 36 43 64 0.75
+10 0 2 0 0 36 44 64 0.6
+10 0 2 0 0 36 45 64 0.45
+10 0 2 0 0 36 46 64 0.3
+10 0 2 0 0 36 47 64 0.15
+10 0 2 0 0 36 48 64 6.2803698347351e-16
+10 0 2 0 0 36 49 64 0.15
+10 0 2 0 0 36 50 64 0.3
+10 0 2 0 0 36 51 64 0.45
+10 0 2 0 0 36 52 64 0.6
+10 0 2 0 0 36 53 64 0.75
+10 0 2 0 0 36 54 64 0.899999999999999
+10 0 2 0 0 36 55 64 1.05
+10 0 2 0 0 36 56 64 1.2
+10 0 2 0 0 36 57 64 1.35
+10 0 2 0 0 36 58 64 1.5
+10 0 2 0 0 36 59 64 1.65
+10 0 2 0 0 36 60 64 1.8
+10 0 2 0 0 36 61 64 1.95
+10 0 2 0 0 36 62 64 2.1
+10 0 2 0 0 36 63 64 2.25
+10 0 2 0 0 36 64 64 2.4
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 3.3
+10 0 1 0 0 36 28 64 3
+10 0 1 0 0 36 30 64 2.7
+10 0 1 0 0 36 32 64 2.4
+10 0 1 0 0 36 34 64 2.1
+10 0 1 0 0 36 36 64 1.8
+10 0 1 0 0 36 38 64 1.5
+10 0 1 0 0 36 40 64 1.2
+10 0 1 0 0 36 42 64 0.9
+10 0 1 0 0 36 44 64 0.6
+10 0 1 0 0 36 46 64 0.3
+10 0 1 0 0 36 48 64 6.2803698347351e-16
+10 0 1 0 0 36 50 64 0.3
+10 0 1 0 0 36 52 64 0.6
+10 0 1 0 0 36 54 64 0.899999999999999
+10 0 1 0 0 36 56 64 1.2
+10 0 1 0 0 36 58 64 1.5
+10 0 1 0 0 36 60 64 1.8
+10 0 1 0 0 36 62 64 2.1
+10 0 1 0 0 36 64 64 2.4
+10 0 1 0 0 36 66 64 2.7
+10 0 1 0 0 36 68 64 3
+10 0 1 0 0 36 70 64 3.3
+10 0 1 0 0 36 72 64 3.6
+10 0 1 0 0 36 74 64 3.9
+10 0 1 0 0 36 76 64 4.2
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 1.35
+11 0 2 0 0 36 40 64 1.2
+11 0 2 0 0 36 41 64 1.05
+11 0 2 0 0 36 42 64 0.9
+11 0 2 0 0 36 43 64 0.75
+11 0 2 0 0 36 44 64 0.6
+11 0 2 0 0 36 45 64 0.45
+11 0 2 0 0 36 46 64 0.3
+11 0 2 0 0 36 47 64 0.15
+11 0 2 0 0 36 48 64 6.2803698347351e-16
+11 0 2 0 0 36 49 64 0.15
+11 0 2 0 0 36 50 64 0.3
+11 0 2 0 0 36 51 64 0.45
+11 0 2 0 0 36 52 64 0.6
+11 0 2 0 0 36 53 64 0.75
+11 0 2 0 0 36 54 64 0.899999999999999
+11 0 2 0 0 36 55 64 1.05
+11 0 2 0 0 36 56 64 1.2
+11 0 2 0 0 36 57 64 1.35
+11 0 2 0 0 36 58 64 1.5
+11 0 2 0 0 36 59 64 1.65
+11 0 2 0 0 36 60 64 1.8
+11 0 2 0 0 36 61 64 1.95
+11 0 2 0 0 36 62 64 2.1
+11 0 2 0 0 36 63 64 2.25
+11 0 2 0 0 36 64 64 2.4
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 1.35
+12 0 2 0 0 36 40 64 1.2
+12 0 2 0 0 36 41 64 1.05
+12 0 2 0 0 36 42 64 0.9
+12 0 2 0 0 36 43 64 0.75
+12 0 2 0 0 36 44 64 0.6
+12 0 2 0 0 36 45 64 0.45
+12 0 2 0 0 36 46 64 0.3
+12 0 2 0 0 36 47 64 0.15
+12 0 2 0 0 36 48 64 6.2803698347351e-16
+12 0 2 0 0 36 49 64 0.15
+12 0 2 0 0 36 50 64 0.3
+12 0 2 0 0 36 51 64 0.45
+12 0 2 0 0 36 52 64 0.6
+12 0 2 0 0 36 53 64 0.75
+12 0 2 0 0 36 54 64 0.899999999999999
+12 0 2 0 0 36 55 64 1.05
+12 0 2 0 0 36 56 64 1.2
+12 0 2 0 0 36 57 64 1.35
+12 0 2 0 0 36 58 64 1.5
+12 0 2 0 0 36 59 64 1.65
+12 0 2 0 0 36 60 64 1.8
+12 0 2 0 0 36 61 64 1.95
+12 0 2 0 0 36 62 64 2.1
+12 0 2 0 0 36 63 64 2.25
+12 0 2 0 0 36 64 64 2.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 3.3
+12 0 1 0 0 36 28 64 3
+12 0 1 0 0 36 30 64 2.7
+12 0 1 0 0 36 32 64 2.4
+12 0 1 0 0 36 34 64 2.1
+12 0 1 0 0 36 36 64 1.8
+12 0 1 0 0 36 38 64 1.5
+12 0 1 0 0 36 40 64 1.2
+12 0 1 0 0 36 42 64 0.9
+12 0 1 0 0 36 44 64 0.6
+12 0 1 0 0 36 46 64 0.3
+12 0 1 0 0 36 48 64 6.2803698347351e-16
+12 0 1 0 0 36 50 64 0.3
+12 0 1 0 0 36 52 64 0.6
+12 0 1 0 0 36 54 64 0.899999999999999
+12 0 1 0 0 36 56 64 1.2
+12 0 1 0 0 36 58 64 1.5
+12 0 1 0 0 36 60 64 1.8
+12 0 1 0 0 36 62 64 2.1
+12 0 1 0 0 36 64 64 2.4
+12 0 1 0 0 36 66 64 2.7
+12 0 1 0 0 36 68 64 3
+12 0 1 0 0 36 70 64 3.3
+12 0 1 0 0 36 72 64 3.6
+12 0 1 0 0 36 74 64 3.9
+12 0 1 0 0 36 76 64 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 7.2
+12 0 0 0 0 36 4 64 6.6
+12 0 0 0 0 36 8 64 6
+12 0 0 0 0 36 12 64 5.4
+12 0 0 0 0 36 16 64 4.8
+12 0 0 0 0 36 20 64 4.2
+12 0 0 0 0 36 24 64 3.6
+12 0 0 0 0 36 28 64 3
+12 0 0 0 0 36 32 64 2.4
+12 0 0 0 0 36 36 64 1.8
+12 0 0 0 0 36 40 64 1.2
+12 0 0 0 0 36 44 64 0.6
+12 0 0 0 0 36 48 64 6.2803698347351e-16
+12 0 0 0 0 36 52 64 0.6
+12 0 0 0 0 36 56 64 1.2
+12 0 0 0 0 36 60 64 1.8
+12 0 0 0 0 36 64 64 2.4
+12 0 0 0 0 36 68 64 3
+12 0 0 0 0 36 72 64 3.6
+12 0 0 0 0 36 76 64 4.2
+12 0 0 0 0 36 80 64 4.8
+12 0 0 0 0 36 84 64 5.4
+12 0 0 0 0 36 88 64 6
+12 0 0 0 0 36 92 64 6.6
+12 0 0 0 0 36 96 64 7.2
+12 0 0 0 0 36 100 64 7.8
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 1.35
+13 0 2 0 0 36 40 64 1.2
+13 0 2 0 0 36 41 64 1.05
+13 0 2 0 0 36 42 64 0.9
+13 0 2 0 0 36 43 64 0.75
+13 0 2 0 0 36 44 64 0.6
+13 0 2 0 0 36 45 64 0.45
+13 0 2 0 0 36 46 64 0.3
+13 0 2 0 0 36 47 64 0.15
+13 0 2 0 0 36 48 64 6.2803698347351e-16
+13 0 2 0 0 36 49 64 0.15
+13 0 2 0 0 36 50 64 0.3
+13 0 2 0 0 36 51 64 0.45
+13 0 2 0 0 36 52 64 0.6
+13 0 2 0 0 36 53 64 0.75
+13 0 2 0 0 36 54 64 0.899999999999999
+13 0 2 0 0 36 55 64 1.05
+13 0 2 0 0 36 56 64 1.2
+13 0 2 0 0 36 57 64 1.35
+13 0 2 0 0 36 58 64 1.5
+13 0 2 0 0 36 59 64 1.65
+13 0 2 0 0 36 60 64 1.8
+13 0 2 0 0 36 61 64 1.95
+13 0 2 0 0 36 62 64 2.1
+13 0 2 0 0 36 63 64 2.25
+13 0 2 0 0 36 64 64 2.4
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 1.35
+14 0 2 0 0 36 40 64 1.2
+14 0 2 0 0 36 41 64 1.05
+14 0 2 0 0 36 42 64 0.9
+14 0 2 0 0 36 43 64 0.75
+14 0 2 0 0 36 44 64 0.6
+14 0 2 0 0 36 45 64 0.45
+14 0 2 0 0 36 46 64 0.3
+14 0 2 0 0 36 47 64 0.15
+14 0 2 0 0 36 48 64 6.2803698347351e-16
+14 0 2 0 0 36 49 64 0.15
+14 0 2 0 0 36 50 64 0.3
+14 0 2 0 0 36 51 64 0.45
+14 0 2 0 0 36 52 64 0.6
+14 0 2 0 0 36 53 64 0.75
+14 0 2 0 0 36 54 64 0.899999999999999
+14 0 2 0 0 36 55 64 1.05
+14 0 2 0 0 36 56 64 1.2
+14 0 2 0 0 36 57 64 1.35
+14 0 2 0 0 36 58 64 1.5
+14 0 2 0 0 36 59 64 1.65
+14 0 2 0 0 36 60 64 1.8
+14 0 2 0 0 36 61 64 1.95
+14 0 2 0 0 36 62 64 2.1
+14 0 2 0 0 36 63 64 2.25
+14 0 2 0 0 36 64 64 2.4
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 3.3
+14 0 1 0 0 36 28 64 3
+14 0 1 0 0 36 30 64 2.7
+14 0 1 0 0 36 32 64 2.4
+14 0 1 0 0 36 34 64 2.1
+14 0 1 0 0 36 36 64 1.8
+14 0 1 0 0 36 38 64 1.5
+14 0 1 0 0 36 40 64 1.2
+14 0 1 0 0 36 42 64 0.9
+14 0 1 0 0 36 44 64 0.6
+14 0 1 0 0 36 46 64 0.3
+14 0 1 0 0 36 48 64 6.2803698347351e-16
+14 0 1 0 0 36 50 64 0.3
+14 0 1 0 0 36 52 64 0.6
+14 0 1 0 0 36 54 64 0.899999999999999
+14 0 1 0 0 36 56 64 1.2
+14 0 1 0 0 36 58 64 1.5
+14 0 1 0 0 36 60 64 1.8
+14 0 1 0 0 36 62 64 2.1
+14 0 1 0 0 36 64 64 2.4
+14 0 1 0 0 36 66 64 2.7
+14 0 1 0 0 36 68 64 3
+14 0 1 0 0 36 70 64 3.3
+14 0 1 0 0 36 72 64 3.6
+14 0 1 0 0 36 74 64 3.9
+14 0 1 0 0 36 76 64 4.2
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 1.35
+15 0 2 0 0 36 40 64 1.2
+15 0 2 0 0 36 41 64 1.05
+15 0 2 0 0 36 42 64 0.9
+15 0 2 0 0 36 43 64 0.75
+15 0 2 0 0 36 44 64 0.6
+15 0 2 0 0 36 45 64 0.45
+15 0 2 0 0 36 46 64 0.3
+15 0 2 0 0 36 47 64 0.15
+15 0 2 0 0 36 48 64 6.2803698347351e-16
+15 0 2 0 0 36 49 64 0.15
+15 0 2 0 0 36 50 64 0.3
+15 0 2 0 0 36 51 64 0.45
+15 0 2 0 0 36 52 64 0.6
+15 0 2 0 0 36 53 64 0.75
+15 0 2 0 0 36 54 64 0.899999999999999
+15 0 2 0 0 36 55 64 1.05
+15 0 2 0 0 36 56 64 1.2
+15 0 2 0 0 36 57 64 1.35
+15 0 2 0 0 36 58 64 1.5
+15 0 2 0 0 36 59 64 1.65
+15 0 2 0 0 36 60 64 1.8
+15 0 2 0 0 36 61 64 1.95
+15 0 2 0 0 36 62 64 2.1
+15 0 2 0 0 36 63 64 2.25
+15 0 2 0 0 36 64 64 2.4
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 1.35
+16 0 2 0 0 36 40 64 1.2
+16 0 2 0 0 36 41 64 1.05
+16 0 2 0 0 36 42 64 0.9
+16 0 2 0 0 36 43 64 0.75
+16 0 2 0 0 36 44 64 0.6
+16 0 2 0 0 36 45 64 0.45
+16 0 2 0 0 36 46 64 0.3
+16 0 2 0 0 36 47 64 0.15
+16 0 2 0 0 36 48 64 6.2803698347351e-16
+16 0 2 0 0 36 49 64 0.15
+16 0 2 0 0 36 50 64 0.3
+16 0 2 0 0 36 51 64 0.45
+16 0 2 0 0 36 52 64 0.6
+16 0 2 0 0 36 53 64 0.75
+16 0 2 0 0 36 54 64 0.899999999999999
+16 0 2 0 0 36 55 64 1.05
+16 0 2 0 0 36 56 64 1.2
+16 0 2 0 0 36 57 64 1.35
+16 0 2 0 0 36 58 64 1.5
+16 0 2 0 0 36 59 64 1.65
+16 0 2 0 0 36 60 64 1.8
+16 0 2 0 0 36 61 64 1.95
+16 0 2 0 0 36 62 64 2.1
+16 0 2 0 0 36 63 64 2.25
+16 0 2 0 0 36 64 64 2.4
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 3.3
+16 0 1 0 0 36 28 64 3
+16 0 1 0 0 36 30 64 2.7
+16 0 1 0 0 36 32 64 2.4
+16 0 1 0 0 36 34 64 2.1
+16 0 1 0 0 36 36 64 1.8
+16 0 1 0 0 36 38 64 1.5
+16 0 1 0 0 36 40 64 1.2
+16 0 1 0 0 36 42 64 0.9
+16 0 1 0 0 36 44 64 0.6
+16 0 1 0 0 36 46 64 0.3
+16 0 1 0 0 36 48 64 6.2803698347351e-16
+16 0 1 0 0 36 50 64 0.3
+16 0 1 0 0 36 52 64 0.6
+16 0 1 0 0 36 54 64 0.899999999999999
+16 0 1 0 0 36 56 64 1.2
+16 0 1 0 0 36 58 64 1.5
+16 0 1 0 0 36 60 64 1.8
+16 0 1 0 0 36 62 64 2.1
+16 0 1 0 0 36 64 64 2.4
+16 0 1 0 0 36 66 64 2.7
+16 0 1 0 0 36 68 64 3
+16 0 1 0 0 36 70 64 3.3
+16 0 1 0 0 36 72 64 3.6
+16 0 1 0 0 36 74 64 3.9
+16 0 1 0 0 36 76 64 4.2
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 7.2
+16 0 0 0 0 36 4 64 6.6
+16 0 0 0 0 36 8 64 6
+16 0 0 0 0 36 12 64 5.4
+16 0 0 0 0 36 16 64 4.8
+16 0 0 0 0 36 20 64 4.2
+16 0 0 0 0 36 24 64 3.6
+16 0 0 0 0 36 28 64 3
+16 0 0 0 0 36 32 64 2.4
+16 0 0 0 0 36 36 64 1.8
+16 0 0 0 0 36 40 64 1.2
+16 0 0 0 0 36 44 64 0.6
+16 0 0 0 0 36 48 64 6.2803698347351e-16
+16 0 0 0 0 36 52 64 0.6
+16 0 0 0 0 36 56 64 1.2
+16 0 0 0 0 36 60 64 1.8
+16 0 0 0 0 36 64 64 2.4
+16 0 0 0 0 36 68 64 3
+16 0 0 0 0 36 72 64 3.6
+16 0 0 0 0 36 76 64 4.2
+16 0 0 0 0 36 80 64 4.8
+16 0 0 0 0 36 84 64 5.4
+16 0 0 0 0 36 88 64 6
+16 0 0 0 0 36 92 64 6.6
+16 0 0 0 0 36 96 64 7.2
+16 0 0 0 0 36 100 64 7.8
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 1.35
+17 0 2 0 0 36 40 64 1.2
+17 0 2 0 0 36 41 64 1.05
+17 0 2 0 0 36 42 64 0.9
+17 0 2 0 0 36 43 64 0.75
+17 0 2 0 0 36 44 64 0.6
+17 0 2 0 0 36 45 64 0.45
+17 0 2 0 0 36 46 64 0.3
+17 0 2 0 0 36 47 64 0.15
+17 0 2 0 0 36 48 64 6.2803698347351e-16
+17 0 2 0 0 36 49 64 0.15
+17 0 2 0 0 36 50 64 0.3
+17 0 2 0 0 36 51 64 0.45
+17 0 2 0 0 36 52 64 0.6
+17 0 2 0 0 36 53 64 0.75
+17 0 2 0 0 36 54 64 0.899999999999999
+17 0 2 0 0 36 55 64 1.05
+17 0 2 0 0 36 56 64 1.2
+17 0 2 0 0 36 57 64 1.35
+17 0 2 0 0 36 58 64 1.5
+17 0 2 0 0 36 59 64 1.65
+17 0 2 0 0 36 60 64 1.8
+17 0 2 0 0 36 61 64 1.95
+17 0 2 0 0 36 62 64 2.1
+17 0 2 0 0 36 63 64 2.25
+17 0 2 0 0 36 64 64 2.4
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 1.35
+18 0 2 0 0 36 40 64 1.2
+18 0 2 0 0 36 41 64 1.05
+18 0 2 0 0 36 42 64 0.9
+18 0 2 0 0 36 43 64 0.75
+18 0 2 0 0 36 44 64 0.6
+18 0 2 0 0 36 45 64 0.45
+18 0 2 0 0 36 46 64 0.3
+18 0 2 0 0 36 47 64 0.15
+18 0 2 0 0 36 48 64 6.2803698347351e-16
+18 0 2 0 0 36 49 64 0.15
+18 0 2 0 0 36 50 64 0.3
+18 0 2 0 0 36 51 64 0.45
+18 0 2 0 0 36 52 64 0.6
+18 0 2 0 0 36 53 64 0.75
+18 0 2 0 0 36 54 64 0.899999999999999
+18 0 2 0 0 36 55 64 1.05
+18 0 2 0 0 36 56 64 1.2
+18 0 2 0 0 36 57 64 1.35
+18 0 2 0 0 36 58 64 1.5
+18 0 2 0 0 36 59 64 1.65
+18 0 2 0 0 36 60 64 1.8
+18 0 2 0 0 36 61 64 1.95
+18 0 2 0 0 36 62 64 2.1
+18 0 2 0 0 36 63 64 2.25
+18 0 2 0 0 36 64 64 2.4
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 3.3
+18 0 1 0 0 36 28 64 3
+18 0 1 0 0 36 30 64 2.7
+18 0 1 0 0 36 32 64 2.4
+18 0 1 0 0 36 34 64 2.1
+18 0 1 0 0 36 36 64 1.8
+18 0 1 0 0 36 38 64 1.5
+18 0 1 0 0 36 40 64 1.2
+18 0 1 0 0 36 42 64 0.9
+18 0 1 0 0 36 44 64 0.6
+18 0 1 0 0 36 46 64 0.3
+18 0 1 0 0 36 48 64 6.2803698347351e-16
+18 0 1 0 0 36 50 64 0.3
+18 0 1 0 0 36 52 64 0.6
+18 0 1 0 0 36 54 64 0.899999999999999
+18 0 1 0 0 36 56 64 1.2
+18 0 1 0 0 36 58 64 1.5
+18 0 1 0 0 36 60 64 1.8
+18 0 1 0 0 36 62 64 2.1
+18 0 1 0 0 36 64 64 2.4
+18 0 1 0 0 36 66 64 2.7
+18 0 1 0 0 36 68 64 3
+18 0 1 0 0 36 70 64 3.3
+18 0 1 0 0 36 72 64 3.6
+18 0 1 0 0 36 74 64 3.9
+18 0 1 0 0 36 76 64 4.2
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 1.35
+19 0 2 0 0 36 40 64 1.2
+19 0 2 0 0 36 41 64 1.05
+19 0 2 0 0 36 42 64 0.9
+19 0 2 0 0 36 43 64 0.75
+19 0 2 0 0 36 44 64 0.6
+19 0 2 0 0 36 45 64 0.45
+19 0 2 0 0 36 46 64 0.3
+19 0 2 0 0 36 47 64 0.15
+19 0 2 0 0 36 48 64 6.2803698347351e-16
+19 0 2 0 0 36 49 64 0.15
+19 0 2 0 0 36 50 64 0.3
+19 0 2 0 0 36 51 64 0.45
+19 0 2 0 0 36 52 64 0.6
+19 0 2 0 0 36 53 64 0.75
+19 0 2 0 0 36 54 64 0.899999999999999
+19 0 2 0 0 36 55 64 1.05
+19 0 2 0 0 36 56 64 1.2
+19 0 2 0 0 36 57 64 1.35
+19 0 2 0 0 36 58 64 1.5
+19 0 2 0 0 36 59 64 1.65
+19 0 2 0 0 36 60 64 1.8
+19 0 2 0 0 36 61 64 1.95
+19 0 2 0 0 36 62 64 2.1
+19 0 2 0 0 36 63 64 2.25
+19 0 2 0 0 36 64 64 2.4
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 1.35
+20 0 2 0 0 36 40 64 1.2
+20 0 2 0 0 36 41 64 1.05
+20 0 2 0 0 36 42 64 0.9
+20 0 2 0 0 36 43 64 0.75
+20 0 2 0 0 36 44 64 0.6
+20 0 2 0 0 36 45 64 0.45
+20 0 2 0 0 36 46 64 0.3
+20 0 2 0 0 36 47 64 0.15
+20 0 2 0 0 36 48 64 6.2803698347351e-16
+20 0 2 0 0 36 49 64 0.15
+20 0 2 0 0 36 50 64 0.3
+20 0 2 0 0 36 51 64 0.45
+20 0 2 0 0 36 52 64 0.6
+20 0 2 0 0 36 53 64 0.75
+20 0 2 0 0 36 54 64 0.899999999999999
+20 0 2 0 0 36 55 64 1.05
+20 0 2 0 0 36 56 64 1.2
+20 0 2 0 0 36 57 64 1.35
+20 0 2 0 0 36 58 64 1.5
+20 0 2 0 0 36 59 64 1.65
+20 0 2 0 0 36 60 64 1.8
+20 0 2 0 0 36 61 64 1.95
+20 0 2 0 0 36 62 64 2.1
+20 0 2 0 0 36 63 64 2.25
+20 0 2 0 0 36 64 64 2.4
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 3.3
+20 0 1 0 0 36 28 64 3
+20 0 1 0 0 36 30 64 2.7
+20 0 1 0 0 36 32 64 2.4
+20 0 1 0 0 36 34 64 2.1
+20 0 1 0 0 36 36 64 1.8
+20 0 1 0 0 36 38 64 1.5
+20 0 1 0 0 36 40 64 1.2
+20 0 1 0 0 36 42 64 0.9
+20 0 1 0 0 36 44 64 0.6
+20 0 1 0 0 36 46 64 0.3
+20 0 1 0 0 36 48 64 6.2803698347351e-16
+20 0 1 0 0 36 50 64 0.3
+20 0 1 0 0 36 52 64 0.6
+20 0 1 0 0 36 54 64 0.899999999999999
+20 0 1 0 0 36 56 64 1.2
+20 0 1 0 0 36 58 64 1.5
+20 0 1 0 0 36 60 64 1.8
+20 0 1 0 0 36 62 64 2.1
+20 0 1 0 0 36 64 64 2.4
+20 0 1 0 0 36 66 64 2.7
+20 0 1 0 0 36 68 64 3
+20 0 1 0 0 36 70 64 3.3
+20 0 1 0 0 36 72 64 3.6
+20 0 1 0 0 36 74 64 3.9
+20 0 1 0 0 36 76 64 4.2
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 7.2
+20 0 0 0 0 36 4 64 6.6
+20 0 0 0 0 36 8 64 6
+20 0 0 0 0 36 12 64 5.4
+20 0 0 0 0 36 16 64 4.8
+20 0 0 0 0 36 20 64 4.2
+20 0 0 0 0 36 24 64 3.6
+20 0 0 0 0 36 28 64 3
+20 0 0 0 0 36 32 64 2.4
+20 0 0 0 0 36 36 64 1.8
+20 0 0 0 0 36 40 64 1.2
+20 0 0 0 0 36 44 64 0.6
+20 0 0 0 0 36 48 64 6.2803698347351e-16
+20 0 0 0 0 36 52 64 0.6
+20 0 0 0 0 36 56 64 1.2
+20 0 0 0 0 36 60 64 1.8
+20 0 0 0 0 36 64 64 2.4
+20 0 0 0 0 36 68 64 3
+20 0 0 0 0 36 72 64 3.6
+20 0 0 0 0 36 76 64 4.2
+20 0 0 0 0 36 80 64 4.8
+20 0 0 0 0 36 84 64 5.4
+20 0 0 0 0 36 88 64 6
+20 0 0 0 0 36 92 64 6.6
+20 0 0 0 0 36 96 64 7.2
+20 0 0 0 0 36 100 64 7.8
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 1.35
+21 0 2 0 0 36 40 64 1.2
+21 0 2 0 0 36 41 64 1.05
+21 0 2 0 0 36 42 64 0.9
+21 0 2 0 0 36 43 64 0.75
+21 0 2 0 0 36 44 64 0.6
+21 0 2 0 0 36 45 64 0.45
+21 0 2 0 0 36 46 64 0.3
+21 0 2 0 0 36 47 64 0.15
+21 0 2 0 0 36 48 64 6.2803698347351e-16
+21 0 2 0 0 36 49 64 0.15
+21 0 2 0 0 36 50 64 0.3
+21 0 2 0 0 36 51 64 0.45
+21 0 2 0 0 36 52 64 0.6
+21 0 2 0 0 36 53 64 0.75
+21 0 2 0 0 36 54 64 0.899999999999999
+21 0 2 0 0 36 55 64 1.05
+21 0 2 0 0 36 56 64 1.2
+21 0 2 0 0 36 57 64 1.35
+21 0 2 0 0 36 58 64 1.5
+21 0 2 0 0 36 59 64 1.65
+21 0 2 0 0 36 60 64 1.8
+21 0 2 0 0 36 61 64 1.95
+21 0 2 0 0 36 62 64 2.1
+21 0 2 0 0 36 63 64 2.25
+21 0 2 0 0 36 64 64 2.4
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 1.35
+22 0 2 0 0 36 40 64 1.2
+22 0 2 0 0 36 41 64 1.05
+22 0 2 0 0 36 42 64 0.9
+22 0 2 0 0 36 43 64 0.75
+22 0 2 0 0 36 44 64 0.6
+22 0 2 0 0 36 45 64 0.45
+22 0 2 0 0 36 46 64 0.3
+22 0 2 0 0 36 47 64 0.15
+22 0 2 0 0 36 48 64 6.2803698347351e-16
+22 0 2 0 0 36 49 64 0.15
+22 0 2 0 0 36 50 64 0.3
+22 0 2 0 0 36 51 64 0.45
+22 0 2 0 0 36 52 64 0.6
+22 0 2 0 0 36 53 64 0.75
+22 0 2 0 0 36 54 64 0.899999999999999
+22 0 2 0 0 36 55 64 1.05
+22 0 2 0 0 36 56 64 1.2
+22 0 2 0 0 36 57 64 1.35
+22 0 2 0 0 36 58 64 1.5
+22 0 2 0 0 36 59 64 1.65
+22 0 2 0 0 36 60 64 1.8
+22 0 2 0 0 36 61 64 1.95
+22 0 2 0 0 36 62 64 2.1
+22 0 2 0 0 36 63 64 2.25
+22 0 2 0 0 36 64 64 2.4
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 3.3
+22 0 1 0 0 36 28 64 3
+22 0 1 0 0 36 30 64 2.7
+22 0 1 0 0 36 32 64 2.4
+22 0 1 0 0 36 34 64 2.1
+22 0 1 0 0 36 36 64 1.8
+22 0 1 0 0 36 38 64 1.5
+22 0 1 0 0 36 40 64 1.2
+22 0 1 0 0 36 42 64 0.9
+22 0 1 0 0 36 44 64 0.6
+22 0 1 0 0 36 46 64 0.3
+22 0 1 0 0 36 48 64 6.2803698347351e-16
+22 0 1 0 0 36 50 64 0.3
+22 0 1 0 0 36 52 64 0.6
+22 0 1 0 0 36 54 64 0.899999999999999
+22 0 1 0 0 36 56 64 1.2
+22 0 1 0 0 36 58 64 1.5
+22 0 1 0 0 36 60 64 1.8
+22 0 1 0 0 36 62 64 2.1
+22 0 1 0 0 36 64 64 2.4
+22 0 1 0 0 36 66 64 2.7
+22 0 1 0 0 36 68 64 3
+22 0 1 0 0 36 70 64 3.3
+22 0 1 0 0 36 72 64 3.6
+22 0 1 0 0 36 74 64 3.9
+22 0 1 0 0 36 76 64 4.2
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 1.35
+23 0 2 0 0 36 40 64 1.2
+23 0 2 0 0 36 41 64 1.05
+23 0 2 0 0 36 42 64 0.9
+23 0 2 0 0 36 43 64 0.75
+23 0 2 0 0 36 44 64 0.6
+23 0 2 0 0 36 45 64 0.45
+23 0 2 0 0 36 46 64 0.3
+23 0 2 0 0 36 47 64 0.15
+23 0 2 0 0 36 48 64 6.2803698347351e-16
+23 0 2 0 0 36 49 64 0.15
+23 0 2 0 0 36 50 64 0.3
+23 0 2 0 0 36 51 64 0.45
+23 0 2 0 0 36 52 64 0.6
+23 0 2 0 0 36 53 64 0.75
+23 0 2 0 0 36 54 64 0.899999999999999
+23 0 2 0 0 36 55 64 1.05
+23 0 2 0 0 36 56 64 1.2
+23 0 2 0 0 36 57 64 1.35
+23 0 2 0 0 36 58 64 1.5
+23 0 2 0 0 36 59 64 1.65
+23 0 2 0 0 36 60 64 1.8
+23 0 2 0 0 36 61 64 1.95
+23 0 2 0 0 36 62 64 2.1
+23 0 2 0 0 36 63 64 2.25
+23 0 2 0 0 36 64 64 2.4
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 1.35
+24 0 2 0 0 36 40 64 1.2
+24 0 2 0 0 36 41 64 1.05
+24 0 2 0 0 36 42 64 0.9
+24 0 2 0 0 36 43 64 0.75
+24 0 2 0 0 36 44 64 0.6
+24 0 2 0 0 36 45 64 0.45
+24 0 2 0 0 36 46 64 0.3
+24 0 2 0 0 36 47 64 0.15
+24 0 2 0 0 36 48 64 6.2803698347351e-16
+24 0 2 0 0 36 49 64 0.15
+24 0 2 0 0 36 50 64 0.3
+24 0 2 0 0 36 51 64 0.45
+24 0 2 0 0 36 52 64 0.6
+24 0 2 0 0 36 53 64 0.75
+24 0 2 0 0 36 54 64 0.899999999999999
+24 0 2 0 0 36 55 64 1.05
+24 0 2 0 0 36 56 64 1.2
+24 0 2 0 0 36 57 64 1.35
+24 0 2 0 0 36 58 64 1.5
+24 0 2 0 0 36 59 64 1.65
+24 0 2 0 0 36 60 64 1.8
+24 0 2 0 0 36 61 64 1.95
+24 0 2 0 0 36 62 64 2.1
+24 0 2 0 0 36 63 64 2.25
+24 0 2 0 0 36 64 64 2.4
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 3.3
+24 0 1 0 0 36 28 64 3
+24 0 1 0 0 36 30 64 2.7
+24 0 1 0 0 36 32 64 2.4
+24 0 1 0 0 36 34 64 2.1
+24 0 1 0 0 36 36 64 1.8
+24 0 1 0 0 36 38 64 1.5
+24 0 1 0 0 36 40 64 1.2
+24 0 1 0 0 36 42 64 0.9
+24 0 1 0 0 36 44 64 0.6
+24 0 1 0 0 36 46 64 0.3
+24 0 1 0 0 36 48 64 6.2803698347351e-16
+24 0 1 0 0 36 50 64 0.3
+24 0 1 0 0 36 52 64 0.6
+24 0 1 0 0 36 54 64 0.899999999999999
+24 0 1 0 0 36 56 64 1.2
+24 0 1 0 0 36 58 64 1.5
+24 0 1 0 0 36 60 64 1.8
+24 0 1 0 0 36 62 64 2.1
+24 0 1 0 0 36 64 64 2.4
+24 0 1 0 0 36 66 64 2.7
+24 0 1 0 0 36 68 64 3
+24 0 1 0 0 36 70 64 3.3
+24 0 1 0 0 36 72 64 3.6
+24 0 1 0 0 36 74 64 3.9
+24 0 1 0 0 36 76 64 4.2
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 7.2
+24 0 0 0 0 36 4 64 6.6
+24 0 0 0 0 36 8 64 6
+24 0 0 0 0 36 12 64 5.4
+24 0 0 0 0 36 16 64 4.8
+24 0 0 0 0 36 20 64 4.2
+24 0 0 0 0 36 24 64 3.6
+24 0 0 0 0 36 28 64 3
+24 0 0 0 0 36 32 64 2.4
+24 0 0 0 0 36 36 64 1.8
+24 0 0 0 0 36 40 64 1.2
+24 0 0 0 0 36 44 64 0.6
+24 0 0 0 0 36 48 64 6.2803698347351e-16
+24 0 0 0 0 36 52 64 0.6
+24 0 0 0 0 36 56 64 1.2
+24 0 0 0 0 36 60 64 1.8
+24 0 0 0 0 36 64 64 2.4
+24 0 0 0 0 36 68 64 3
+24 0 0 0 0 36 72 64 3.6
+24 0 0 0 0 36 76 64 4.2
+24 0 0 0 0 36 80 64 4.8
+24 0 0 0 0 36 84 64 5.4
+24 0 0 0 0 36 88 64 6
+24 0 0 0 0 36 92 64 6.6
+24 0 0 0 0 36 96 64 7.2
+24 0 0 0 0 36 100 64 7.8
+
+
diff --git a/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/spher3d_r.zl b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/spher3d_r.zl
new file mode 100644
index 000000000..6577f6504
--- /dev/null
+++ b/CarpetExtra/SpaceTimeToy/test/spacetimetoy_periodic_coarse_rl3/spher3d_r.zl
@@ -0,0 +1,1757 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 1.95
+0 0 2 0 0 36 48 52 1.8
+0 0 2 0 0 36 48 53 1.65
+0 0 2 0 0 36 48 54 1.5
+0 0 2 0 0 36 48 55 1.35
+0 0 2 0 0 36 48 56 1.2
+0 0 2 0 0 36 48 57 1.05
+0 0 2 0 0 36 48 58 0.9
+0 0 2 0 0 36 48 59 0.75
+0 0 2 0 0 36 48 60 0.6
+0 0 2 0 0 36 48 61 0.45
+0 0 2 0 0 36 48 62 0.3
+0 0 2 0 0 36 48 63 0.15
+0 0 2 0 0 36 48 64 6.2803698347351e-16
+0 0 2 0 0 36 48 65 0.15
+0 0 2 0 0 36 48 66 0.3
+0 0 2 0 0 36 48 67 0.45
+0 0 2 0 0 36 48 68 0.6
+0 0 2 0 0 36 48 69 0.75
+0 0 2 0 0 36 48 70 0.9
+0 0 2 0 0 36 48 71 1.05
+0 0 2 0 0 36 48 72 1.2
+0 0 2 0 0 36 48 73 1.35
+0 0 2 0 0 36 48 74 1.5
+0 0 2 0 0 36 48 75 1.65
+0 0 2 0 0 36 48 76 1.8
+0 0 2 0 0 36 48 77 1.95
+0 0 2 0 0 36 48 78 2.1
+0 0 2 0 0 36 48 79 2.25
+0 0 2 0 0 36 48 80 2.4
+0 0 2 0 0 36 48 81 2.55
+0 0 2 0 0 36 48 82 2.7
+0 0 2 0 0 36 48 83 2.85
+0 0 2 0 0 36 48 84 3
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 4.5
+0 0 1 0 0 36 48 36 4.2
+0 0 1 0 0 36 48 38 3.9
+0 0 1 0 0 36 48 40 3.6
+0 0 1 0 0 36 48 42 3.3
+0 0 1 0 0 36 48 44 3
+0 0 1 0 0 36 48 46 2.7
+0 0 1 0 0 36 48 48 2.4
+0 0 1 0 0 36 48 50 2.1
+0 0 1 0 0 36 48 52 1.8
+0 0 1 0 0 36 48 54 1.5
+0 0 1 0 0 36 48 56 1.2
+0 0 1 0 0 36 48 58 0.9
+0 0 1 0 0 36 48 60 0.6
+0 0 1 0 0 36 48 62 0.3
+0 0 1 0 0 36 48 64 6.2803698347351e-16
+0 0 1 0 0 36 48 66 0.3
+0 0 1 0 0 36 48 68 0.6
+0 0 1 0 0 36 48 70 0.9
+0 0 1 0 0 36 48 72 1.2
+0 0 1 0 0 36 48 74 1.5
+0 0 1 0 0 36 48 76 1.8
+0 0 1 0 0 36 48 78 2.1
+0 0 1 0 0 36 48 80 2.4
+0 0 1 0 0 36 48 82 2.7
+0 0 1 0 0 36 48 84 3
+0 0 1 0 0 36 48 86 3.3
+0 0 1 0 0 36 48 88 3.6
+0 0 1 0 0 36 48 90 3.9
+0 0 1 0 0 36 48 92 4.2
+0 0 1 0 0 36 48 94 4.5
+0 0 1 0 0 36 48 96 4.8
+0 0 1 0 0 36 48 98 5.1
+0 0 1 0 0 36 48 100 5.4
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 9.6
+0 0 0 0 0 36 48 4 9
+0 0 0 0 0 36 48 8 8.4
+0 0 0 0 0 36 48 12 7.8
+0 0 0 0 0 36 48 16 7.2
+0 0 0 0 0 36 48 20 6.6
+0 0 0 0 0 36 48 24 6
+0 0 0 0 0 36 48 28 5.4
+0 0 0 0 0 36 48 32 4.8
+0 0 0 0 0 36 48 36 4.2
+0 0 0 0 0 36 48 40 3.6
+0 0 0 0 0 36 48 44 3
+0 0 0 0 0 36 48 48 2.4
+0 0 0 0 0 36 48 52 1.8
+0 0 0 0 0 36 48 56 1.2
+0 0 0 0 0 36 48 60 0.6
+0 0 0 0 0 36 48 64 6.2803698347351e-16
+0 0 0 0 0 36 48 68 0.6
+0 0 0 0 0 36 48 72 1.2
+0 0 0 0 0 36 48 76 1.8
+0 0 0 0 0 36 48 80 2.4
+0 0 0 0 0 36 48 84 3
+0 0 0 0 0 36 48 88 3.6
+0 0 0 0 0 36 48 92 4.2
+0 0 0 0 0 36 48 96 4.8
+0 0 0 0 0 36 48 100 5.4
+0 0 0 0 0 36 48 104 6
+0 0 0 0 0 36 48 108 6.6
+0 0 0 0 0 36 48 112 7.2
+0 0 0 0 0 36 48 116 7.8
+0 0 0 0 0 36 48 120 8.4
+0 0 0 0 0 36 48 124 9
+0 0 0 0 0 36 48 128 9.6
+0 0 0 0 0 36 48 132 10.2
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 1.95
+1 0 2 0 0 36 48 52 1.8
+1 0 2 0 0 36 48 53 1.65
+1 0 2 0 0 36 48 54 1.5
+1 0 2 0 0 36 48 55 1.35
+1 0 2 0 0 36 48 56 1.2
+1 0 2 0 0 36 48 57 1.05
+1 0 2 0 0 36 48 58 0.9
+1 0 2 0 0 36 48 59 0.75
+1 0 2 0 0 36 48 60 0.6
+1 0 2 0 0 36 48 61 0.45
+1 0 2 0 0 36 48 62 0.3
+1 0 2 0 0 36 48 63 0.15
+1 0 2 0 0 36 48 64 6.2803698347351e-16
+1 0 2 0 0 36 48 65 0.15
+1 0 2 0 0 36 48 66 0.3
+1 0 2 0 0 36 48 67 0.45
+1 0 2 0 0 36 48 68 0.6
+1 0 2 0 0 36 48 69 0.75
+1 0 2 0 0 36 48 70 0.9
+1 0 2 0 0 36 48 71 1.05
+1 0 2 0 0 36 48 72 1.2
+1 0 2 0 0 36 48 73 1.35
+1 0 2 0 0 36 48 74 1.5
+1 0 2 0 0 36 48 75 1.65
+1 0 2 0 0 36 48 76 1.8
+1 0 2 0 0 36 48 77 1.95
+1 0 2 0 0 36 48 78 2.1
+1 0 2 0 0 36 48 79 2.25
+1 0 2 0 0 36 48 80 2.4
+1 0 2 0 0 36 48 81 2.55
+1 0 2 0 0 36 48 82 2.7
+1 0 2 0 0 36 48 83 2.85
+1 0 2 0 0 36 48 84 3
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 1.95
+2 0 2 0 0 36 48 52 1.8
+2 0 2 0 0 36 48 53 1.65
+2 0 2 0 0 36 48 54 1.5
+2 0 2 0 0 36 48 55 1.35
+2 0 2 0 0 36 48 56 1.2
+2 0 2 0 0 36 48 57 1.05
+2 0 2 0 0 36 48 58 0.9
+2 0 2 0 0 36 48 59 0.75
+2 0 2 0 0 36 48 60 0.6
+2 0 2 0 0 36 48 61 0.45
+2 0 2 0 0 36 48 62 0.3
+2 0 2 0 0 36 48 63 0.15
+2 0 2 0 0 36 48 64 6.2803698347351e-16
+2 0 2 0 0 36 48 65 0.15
+2 0 2 0 0 36 48 66 0.3
+2 0 2 0 0 36 48 67 0.45
+2 0 2 0 0 36 48 68 0.6
+2 0 2 0 0 36 48 69 0.75
+2 0 2 0 0 36 48 70 0.9
+2 0 2 0 0 36 48 71 1.05
+2 0 2 0 0 36 48 72 1.2
+2 0 2 0 0 36 48 73 1.35
+2 0 2 0 0 36 48 74 1.5
+2 0 2 0 0 36 48 75 1.65
+2 0 2 0 0 36 48 76 1.8
+2 0 2 0 0 36 48 77 1.95
+2 0 2 0 0 36 48 78 2.1
+2 0 2 0 0 36 48 79 2.25
+2 0 2 0 0 36 48 80 2.4
+2 0 2 0 0 36 48 81 2.55
+2 0 2 0 0 36 48 82 2.7
+2 0 2 0 0 36 48 83 2.85
+2 0 2 0 0 36 48 84 3
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 4.5
+2 0 1 0 0 36 48 36 4.2
+2 0 1 0 0 36 48 38 3.9
+2 0 1 0 0 36 48 40 3.6
+2 0 1 0 0 36 48 42 3.3
+2 0 1 0 0 36 48 44 3
+2 0 1 0 0 36 48 46 2.7
+2 0 1 0 0 36 48 48 2.4
+2 0 1 0 0 36 48 50 2.1
+2 0 1 0 0 36 48 52 1.8
+2 0 1 0 0 36 48 54 1.5
+2 0 1 0 0 36 48 56 1.2
+2 0 1 0 0 36 48 58 0.9
+2 0 1 0 0 36 48 60 0.6
+2 0 1 0 0 36 48 62 0.3
+2 0 1 0 0 36 48 64 6.2803698347351e-16
+2 0 1 0 0 36 48 66 0.3
+2 0 1 0 0 36 48 68 0.6
+2 0 1 0 0 36 48 70 0.9
+2 0 1 0 0 36 48 72 1.2
+2 0 1 0 0 36 48 74 1.5
+2 0 1 0 0 36 48 76 1.8
+2 0 1 0 0 36 48 78 2.1
+2 0 1 0 0 36 48 80 2.4
+2 0 1 0 0 36 48 82 2.7
+2 0 1 0 0 36 48 84 3
+2 0 1 0 0 36 48 86 3.3
+2 0 1 0 0 36 48 88 3.6
+2 0 1 0 0 36 48 90 3.9
+2 0 1 0 0 36 48 92 4.2
+2 0 1 0 0 36 48 94 4.5
+2 0 1 0 0 36 48 96 4.8
+2 0 1 0 0 36 48 98 5.1
+2 0 1 0 0 36 48 100 5.4
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 1.95
+3 0 2 0 0 36 48 52 1.8
+3 0 2 0 0 36 48 53 1.65
+3 0 2 0 0 36 48 54 1.5
+3 0 2 0 0 36 48 55 1.35
+3 0 2 0 0 36 48 56 1.2
+3 0 2 0 0 36 48 57 1.05
+3 0 2 0 0 36 48 58 0.9
+3 0 2 0 0 36 48 59 0.75
+3 0 2 0 0 36 48 60 0.6
+3 0 2 0 0 36 48 61 0.45
+3 0 2 0 0 36 48 62 0.3
+3 0 2 0 0 36 48 63 0.15
+3 0 2 0 0 36 48 64 6.2803698347351e-16
+3 0 2 0 0 36 48 65 0.15
+3 0 2 0 0 36 48 66 0.3
+3 0 2 0 0 36 48 67 0.45
+3 0 2 0 0 36 48 68 0.6
+3 0 2 0 0 36 48 69 0.75
+3 0 2 0 0 36 48 70 0.9
+3 0 2 0 0 36 48 71 1.05
+3 0 2 0 0 36 48 72 1.2
+3 0 2 0 0 36 48 73 1.35
+3 0 2 0 0 36 48 74 1.5
+3 0 2 0 0 36 48 75 1.65
+3 0 2 0 0 36 48 76 1.8
+3 0 2 0 0 36 48 77 1.95
+3 0 2 0 0 36 48 78 2.1
+3 0 2 0 0 36 48 79 2.25
+3 0 2 0 0 36 48 80 2.4
+3 0 2 0 0 36 48 81 2.55
+3 0 2 0 0 36 48 82 2.7
+3 0 2 0 0 36 48 83 2.85
+3 0 2 0 0 36 48 84 3
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 1.95
+4 0 2 0 0 36 48 52 1.8
+4 0 2 0 0 36 48 53 1.65
+4 0 2 0 0 36 48 54 1.5
+4 0 2 0 0 36 48 55 1.35
+4 0 2 0 0 36 48 56 1.2
+4 0 2 0 0 36 48 57 1.05
+4 0 2 0 0 36 48 58 0.9
+4 0 2 0 0 36 48 59 0.75
+4 0 2 0 0 36 48 60 0.6
+4 0 2 0 0 36 48 61 0.45
+4 0 2 0 0 36 48 62 0.3
+4 0 2 0 0 36 48 63 0.15
+4 0 2 0 0 36 48 64 6.2803698347351e-16
+4 0 2 0 0 36 48 65 0.15
+4 0 2 0 0 36 48 66 0.3
+4 0 2 0 0 36 48 67 0.45
+4 0 2 0 0 36 48 68 0.6
+4 0 2 0 0 36 48 69 0.75
+4 0 2 0 0 36 48 70 0.9
+4 0 2 0 0 36 48 71 1.05
+4 0 2 0 0 36 48 72 1.2
+4 0 2 0 0 36 48 73 1.35
+4 0 2 0 0 36 48 74 1.5
+4 0 2 0 0 36 48 75 1.65
+4 0 2 0 0 36 48 76 1.8
+4 0 2 0 0 36 48 77 1.95
+4 0 2 0 0 36 48 78 2.1
+4 0 2 0 0 36 48 79 2.25
+4 0 2 0 0 36 48 80 2.4
+4 0 2 0 0 36 48 81 2.55
+4 0 2 0 0 36 48 82 2.7
+4 0 2 0 0 36 48 83 2.85
+4 0 2 0 0 36 48 84 3
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 4.5
+4 0 1 0 0 36 48 36 4.2
+4 0 1 0 0 36 48 38 3.9
+4 0 1 0 0 36 48 40 3.6
+4 0 1 0 0 36 48 42 3.3
+4 0 1 0 0 36 48 44 3
+4 0 1 0 0 36 48 46 2.7
+4 0 1 0 0 36 48 48 2.4
+4 0 1 0 0 36 48 50 2.1
+4 0 1 0 0 36 48 52 1.8
+4 0 1 0 0 36 48 54 1.5
+4 0 1 0 0 36 48 56 1.2
+4 0 1 0 0 36 48 58 0.9
+4 0 1 0 0 36 48 60 0.6
+4 0 1 0 0 36 48 62 0.3
+4 0 1 0 0 36 48 64 6.2803698347351e-16
+4 0 1 0 0 36 48 66 0.3
+4 0 1 0 0 36 48 68 0.6
+4 0 1 0 0 36 48 70 0.9
+4 0 1 0 0 36 48 72 1.2
+4 0 1 0 0 36 48 74 1.5
+4 0 1 0 0 36 48 76 1.8
+4 0 1 0 0 36 48 78 2.1
+4 0 1 0 0 36 48 80 2.4
+4 0 1 0 0 36 48 82 2.7
+4 0 1 0 0 36 48 84 3
+4 0 1 0 0 36 48 86 3.3
+4 0 1 0 0 36 48 88 3.6
+4 0 1 0 0 36 48 90 3.9
+4 0 1 0 0 36 48 92 4.2
+4 0 1 0 0 36 48 94 4.5
+4 0 1 0 0 36 48 96 4.8
+4 0 1 0 0 36 48 98 5.1
+4 0 1 0 0 36 48 100 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 9.6
+4 0 0 0 0 36 48 4 9
+4 0 0 0 0 36 48 8 8.4
+4 0 0 0 0 36 48 12 7.8
+4 0 0 0 0 36 48 16 7.2
+4 0 0 0 0 36 48 20 6.6
+4 0 0 0 0 36 48 24 6
+4 0 0 0 0 36 48 28 5.4
+4 0 0 0 0 36 48 32 4.8
+4 0 0 0 0 36 48 36 4.2
+4 0 0 0 0 36 48 40 3.6
+4 0 0 0 0 36 48 44 3
+4 0 0 0 0 36 48 48 2.4
+4 0 0 0 0 36 48 52 1.8
+4 0 0 0 0 36 48 56 1.2
+4 0 0 0 0 36 48 60 0.6
+4 0 0 0 0 36 48 64 6.2803698347351e-16
+4 0 0 0 0 36 48 68 0.6
+4 0 0 0 0 36 48 72 1.2
+4 0 0 0 0 36 48 76 1.8
+4 0 0 0 0 36 48 80 2.4
+4 0 0 0 0 36 48 84 3
+4 0 0 0 0 36 48 88 3.6
+4 0 0 0 0 36 48 92 4.2
+4 0 0 0 0 36 48 96 4.8
+4 0 0 0 0 36 48 100 5.4
+4 0 0 0 0 36 48 104 6
+4 0 0 0 0 36 48 108 6.6
+4 0 0 0 0 36 48 112 7.2
+4 0 0 0 0 36 48 116 7.8
+4 0 0 0 0 36 48 120 8.4
+4 0 0 0 0 36 48 124 9
+4 0 0 0 0 36 48 128 9.6
+4 0 0 0 0 36 48 132 10.2
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 1.95
+5 0 2 0 0 36 48 52 1.8
+5 0 2 0 0 36 48 53 1.65
+5 0 2 0 0 36 48 54 1.5
+5 0 2 0 0 36 48 55 1.35
+5 0 2 0 0 36 48 56 1.2
+5 0 2 0 0 36 48 57 1.05
+5 0 2 0 0 36 48 58 0.9
+5 0 2 0 0 36 48 59 0.75
+5 0 2 0 0 36 48 60 0.6
+5 0 2 0 0 36 48 61 0.45
+5 0 2 0 0 36 48 62 0.3
+5 0 2 0 0 36 48 63 0.15
+5 0 2 0 0 36 48 64 6.2803698347351e-16
+5 0 2 0 0 36 48 65 0.15
+5 0 2 0 0 36 48 66 0.3
+5 0 2 0 0 36 48 67 0.45
+5 0 2 0 0 36 48 68 0.6
+5 0 2 0 0 36 48 69 0.75
+5 0 2 0 0 36 48 70 0.9
+5 0 2 0 0 36 48 71 1.05
+5 0 2 0 0 36 48 72 1.2
+5 0 2 0 0 36 48 73 1.35
+5 0 2 0 0 36 48 74 1.5
+5 0 2 0 0 36 48 75 1.65
+5 0 2 0 0 36 48 76 1.8
+5 0 2 0 0 36 48 77 1.95
+5 0 2 0 0 36 48 78 2.1
+5 0 2 0 0 36 48 79 2.25
+5 0 2 0 0 36 48 80 2.4
+5 0 2 0 0 36 48 81 2.55
+5 0 2 0 0 36 48 82 2.7
+5 0 2 0 0 36 48 83 2.85
+5 0 2 0 0 36 48 84 3
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 1.95
+6 0 2 0 0 36 48 52 1.8
+6 0 2 0 0 36 48 53 1.65
+6 0 2 0 0 36 48 54 1.5
+6 0 2 0 0 36 48 55 1.35
+6 0 2 0 0 36 48 56 1.2
+6 0 2 0 0 36 48 57 1.05
+6 0 2 0 0 36 48 58 0.9
+6 0 2 0 0 36 48 59 0.75
+6 0 2 0 0 36 48 60 0.6
+6 0 2 0 0 36 48 61 0.45
+6 0 2 0 0 36 48 62 0.3
+6 0 2 0 0 36 48 63 0.15
+6 0 2 0 0 36 48 64 6.2803698347351e-16
+6 0 2 0 0 36 48 65 0.15
+6 0 2 0 0 36 48 66 0.3
+6 0 2 0 0 36 48 67 0.45
+6 0 2 0 0 36 48 68 0.6
+6 0 2 0 0 36 48 69 0.75
+6 0 2 0 0 36 48 70 0.9
+6 0 2 0 0 36 48 71 1.05
+6 0 2 0 0 36 48 72 1.2
+6 0 2 0 0 36 48 73 1.35
+6 0 2 0 0 36 48 74 1.5
+6 0 2 0 0 36 48 75 1.65
+6 0 2 0 0 36 48 76 1.8
+6 0 2 0 0 36 48 77 1.95
+6 0 2 0 0 36 48 78 2.1
+6 0 2 0 0 36 48 79 2.25
+6 0 2 0 0 36 48 80 2.4
+6 0 2 0 0 36 48 81 2.55
+6 0 2 0 0 36 48 82 2.7
+6 0 2 0 0 36 48 83 2.85
+6 0 2 0 0 36 48 84 3
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 4.5
+6 0 1 0 0 36 48 36 4.2
+6 0 1 0 0 36 48 38 3.9
+6 0 1 0 0 36 48 40 3.6
+6 0 1 0 0 36 48 42 3.3
+6 0 1 0 0 36 48 44 3
+6 0 1 0 0 36 48 46 2.7
+6 0 1 0 0 36 48 48 2.4
+6 0 1 0 0 36 48 50 2.1
+6 0 1 0 0 36 48 52 1.8
+6 0 1 0 0 36 48 54 1.5
+6 0 1 0 0 36 48 56 1.2
+6 0 1 0 0 36 48 58 0.9
+6 0 1 0 0 36 48 60 0.6
+6 0 1 0 0 36 48 62 0.3
+6 0 1 0 0 36 48 64 6.2803698347351e-16
+6 0 1 0 0 36 48 66 0.3
+6 0 1 0 0 36 48 68 0.6
+6 0 1 0 0 36 48 70 0.9
+6 0 1 0 0 36 48 72 1.2
+6 0 1 0 0 36 48 74 1.5
+6 0 1 0 0 36 48 76 1.8
+6 0 1 0 0 36 48 78 2.1
+6 0 1 0 0 36 48 80 2.4
+6 0 1 0 0 36 48 82 2.7
+6 0 1 0 0 36 48 84 3
+6 0 1 0 0 36 48 86 3.3
+6 0 1 0 0 36 48 88 3.6
+6 0 1 0 0 36 48 90 3.9
+6 0 1 0 0 36 48 92 4.2
+6 0 1 0 0 36 48 94 4.5
+6 0 1 0 0 36 48 96 4.8
+6 0 1 0 0 36 48 98 5.1
+6 0 1 0 0 36 48 100 5.4
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 1.95
+7 0 2 0 0 36 48 52 1.8
+7 0 2 0 0 36 48 53 1.65
+7 0 2 0 0 36 48 54 1.5
+7 0 2 0 0 36 48 55 1.35
+7 0 2 0 0 36 48 56 1.2
+7 0 2 0 0 36 48 57 1.05
+7 0 2 0 0 36 48 58 0.9
+7 0 2 0 0 36 48 59 0.75
+7 0 2 0 0 36 48 60 0.6
+7 0 2 0 0 36 48 61 0.45
+7 0 2 0 0 36 48 62 0.3
+7 0 2 0 0 36 48 63 0.15
+7 0 2 0 0 36 48 64 6.2803698347351e-16
+7 0 2 0 0 36 48 65 0.15
+7 0 2 0 0 36 48 66 0.3
+7 0 2 0 0 36 48 67 0.45
+7 0 2 0 0 36 48 68 0.6
+7 0 2 0 0 36 48 69 0.75
+7 0 2 0 0 36 48 70 0.9
+7 0 2 0 0 36 48 71 1.05
+7 0 2 0 0 36 48 72 1.2
+7 0 2 0 0 36 48 73 1.35
+7 0 2 0 0 36 48 74 1.5
+7 0 2 0 0 36 48 75 1.65
+7 0 2 0 0 36 48 76 1.8
+7 0 2 0 0 36 48 77 1.95
+7 0 2 0 0 36 48 78 2.1
+7 0 2 0 0 36 48 79 2.25
+7 0 2 0 0 36 48 80 2.4
+7 0 2 0 0 36 48 81 2.55
+7 0 2 0 0 36 48 82 2.7
+7 0 2 0 0 36 48 83 2.85
+7 0 2 0 0 36 48 84 3
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 1.95
+8 0 2 0 0 36 48 52 1.8
+8 0 2 0 0 36 48 53 1.65
+8 0 2 0 0 36 48 54 1.5
+8 0 2 0 0 36 48 55 1.35
+8 0 2 0 0 36 48 56 1.2
+8 0 2 0 0 36 48 57 1.05
+8 0 2 0 0 36 48 58 0.9
+8 0 2 0 0 36 48 59 0.75
+8 0 2 0 0 36 48 60 0.6
+8 0 2 0 0 36 48 61 0.45
+8 0 2 0 0 36 48 62 0.3
+8 0 2 0 0 36 48 63 0.15
+8 0 2 0 0 36 48 64 6.2803698347351e-16
+8 0 2 0 0 36 48 65 0.15
+8 0 2 0 0 36 48 66 0.3
+8 0 2 0 0 36 48 67 0.45
+8 0 2 0 0 36 48 68 0.6
+8 0 2 0 0 36 48 69 0.75
+8 0 2 0 0 36 48 70 0.9
+8 0 2 0 0 36 48 71 1.05
+8 0 2 0 0 36 48 72 1.2
+8 0 2 0 0 36 48 73 1.35
+8 0 2 0 0 36 48 74 1.5
+8 0 2 0 0 36 48 75 1.65
+8 0 2 0 0 36 48 76 1.8
+8 0 2 0 0 36 48 77 1.95
+8 0 2 0 0 36 48 78 2.1
+8 0 2 0 0 36 48 79 2.25
+8 0 2 0 0 36 48 80 2.4
+8 0 2 0 0 36 48 81 2.55
+8 0 2 0 0 36 48 82 2.7
+8 0 2 0 0 36 48 83 2.85
+8 0 2 0 0 36 48 84 3
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 4.5
+8 0 1 0 0 36 48 36 4.2
+8 0 1 0 0 36 48 38 3.9
+8 0 1 0 0 36 48 40 3.6
+8 0 1 0 0 36 48 42 3.3
+8 0 1 0 0 36 48 44 3
+8 0 1 0 0 36 48 46 2.7
+8 0 1 0 0 36 48 48 2.4
+8 0 1 0 0 36 48 50 2.1
+8 0 1 0 0 36 48 52 1.8
+8 0 1 0 0 36 48 54 1.5
+8 0 1 0 0 36 48 56 1.2
+8 0 1 0 0 36 48 58 0.9
+8 0 1 0 0 36 48 60 0.6
+8 0 1 0 0 36 48 62 0.3
+8 0 1 0 0 36 48 64 6.2803698347351e-16
+8 0 1 0 0 36 48 66 0.3
+8 0 1 0 0 36 48 68 0.6
+8 0 1 0 0 36 48 70 0.9
+8 0 1 0 0 36 48 72 1.2
+8 0 1 0 0 36 48 74 1.5
+8 0 1 0 0 36 48 76 1.8
+8 0 1 0 0 36 48 78 2.1
+8 0 1 0 0 36 48 80 2.4
+8 0 1 0 0 36 48 82 2.7
+8 0 1 0 0 36 48 84 3
+8 0 1 0 0 36 48 86 3.3
+8 0 1 0 0 36 48 88 3.6
+8 0 1 0 0 36 48 90 3.9
+8 0 1 0 0 36 48 92 4.2
+8 0 1 0 0 36 48 94 4.5
+8 0 1 0 0 36 48 96 4.8
+8 0 1 0 0 36 48 98 5.1
+8 0 1 0 0 36 48 100 5.4
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 9.6
+8 0 0 0 0 36 48 4 9
+8 0 0 0 0 36 48 8 8.4
+8 0 0 0 0 36 48 12 7.8
+8 0 0 0 0 36 48 16 7.2
+8 0 0 0 0 36 48 20 6.6
+8 0 0 0 0 36 48 24 6
+8 0 0 0 0 36 48 28 5.4
+8 0 0 0 0 36 48 32 4.8
+8 0 0 0 0 36 48 36 4.2
+8 0 0 0 0 36 48 40 3.6
+8 0 0 0 0 36 48 44 3
+8 0 0 0 0 36 48 48 2.4
+8 0 0 0 0 36 48 52 1.8
+8 0 0 0 0 36 48 56 1.2
+8 0 0 0 0 36 48 60 0.6
+8 0 0 0 0 36 48 64 6.2803698347351e-16
+8 0 0 0 0 36 48 68 0.6
+8 0 0 0 0 36 48 72 1.2
+8 0 0 0 0 36 48 76 1.8
+8 0 0 0 0 36 48 80 2.4
+8 0 0 0 0 36 48 84 3
+8 0 0 0 0 36 48 88 3.6
+8 0 0 0 0 36 48 92 4.2
+8 0 0 0 0 36 48 96 4.8
+8 0 0 0 0 36 48 100 5.4
+8 0 0 0 0 36 48 104 6
+8 0 0 0 0 36 48 108 6.6
+8 0 0 0 0 36 48 112 7.2
+8 0 0 0 0 36 48 116 7.8
+8 0 0 0 0 36 48 120 8.4
+8 0 0 0 0 36 48 124 9
+8 0 0 0 0 36 48 128 9.6
+8 0 0 0 0 36 48 132 10.2
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 1.95
+9 0 2 0 0 36 48 52 1.8
+9 0 2 0 0 36 48 53 1.65
+9 0 2 0 0 36 48 54 1.5
+9 0 2 0 0 36 48 55 1.35
+9 0 2 0 0 36 48 56 1.2
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+9 0 2 0 0 36 48 58 0.9
+9 0 2 0 0 36 48 59 0.75
+9 0 2 0 0 36 48 60 0.6
+9 0 2 0 0 36 48 61 0.45
+9 0 2 0 0 36 48 62 0.3
+9 0 2 0 0 36 48 63 0.15
+9 0 2 0 0 36 48 64 6.2803698347351e-16
+9 0 2 0 0 36 48 65 0.15
+9 0 2 0 0 36 48 66 0.3
+9 0 2 0 0 36 48 67 0.45
+9 0 2 0 0 36 48 68 0.6
+9 0 2 0 0 36 48 69 0.75
+9 0 2 0 0 36 48 70 0.9
+9 0 2 0 0 36 48 71 1.05
+9 0 2 0 0 36 48 72 1.2
+9 0 2 0 0 36 48 73 1.35
+9 0 2 0 0 36 48 74 1.5
+9 0 2 0 0 36 48 75 1.65
+9 0 2 0 0 36 48 76 1.8
+9 0 2 0 0 36 48 77 1.95
+9 0 2 0 0 36 48 78 2.1
+9 0 2 0 0 36 48 79 2.25
+9 0 2 0 0 36 48 80 2.4
+9 0 2 0 0 36 48 81 2.55
+9 0 2 0 0 36 48 82 2.7
+9 0 2 0 0 36 48 83 2.85
+9 0 2 0 0 36 48 84 3
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 1.95
+10 0 2 0 0 36 48 52 1.8
+10 0 2 0 0 36 48 53 1.65
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+10 0 2 0 0 36 48 58 0.9
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+10 0 2 0 0 36 48 60 0.6
+10 0 2 0 0 36 48 61 0.45
+10 0 2 0 0 36 48 62 0.3
+10 0 2 0 0 36 48 63 0.15
+10 0 2 0 0 36 48 64 6.2803698347351e-16
+10 0 2 0 0 36 48 65 0.15
+10 0 2 0 0 36 48 66 0.3
+10 0 2 0 0 36 48 67 0.45
+10 0 2 0 0 36 48 68 0.6
+10 0 2 0 0 36 48 69 0.75
+10 0 2 0 0 36 48 70 0.9
+10 0 2 0 0 36 48 71 1.05
+10 0 2 0 0 36 48 72 1.2
+10 0 2 0 0 36 48 73 1.35
+10 0 2 0 0 36 48 74 1.5
+10 0 2 0 0 36 48 75 1.65
+10 0 2 0 0 36 48 76 1.8
+10 0 2 0 0 36 48 77 1.95
+10 0 2 0 0 36 48 78 2.1
+10 0 2 0 0 36 48 79 2.25
+10 0 2 0 0 36 48 80 2.4
+10 0 2 0 0 36 48 81 2.55
+10 0 2 0 0 36 48 82 2.7
+10 0 2 0 0 36 48 83 2.85
+10 0 2 0 0 36 48 84 3
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 4.5
+10 0 1 0 0 36 48 36 4.2
+10 0 1 0 0 36 48 38 3.9
+10 0 1 0 0 36 48 40 3.6
+10 0 1 0 0 36 48 42 3.3
+10 0 1 0 0 36 48 44 3
+10 0 1 0 0 36 48 46 2.7
+10 0 1 0 0 36 48 48 2.4
+10 0 1 0 0 36 48 50 2.1
+10 0 1 0 0 36 48 52 1.8
+10 0 1 0 0 36 48 54 1.5
+10 0 1 0 0 36 48 56 1.2
+10 0 1 0 0 36 48 58 0.9
+10 0 1 0 0 36 48 60 0.6
+10 0 1 0 0 36 48 62 0.3
+10 0 1 0 0 36 48 64 6.2803698347351e-16
+10 0 1 0 0 36 48 66 0.3
+10 0 1 0 0 36 48 68 0.6
+10 0 1 0 0 36 48 70 0.9
+10 0 1 0 0 36 48 72 1.2
+10 0 1 0 0 36 48 74 1.5
+10 0 1 0 0 36 48 76 1.8
+10 0 1 0 0 36 48 78 2.1
+10 0 1 0 0 36 48 80 2.4
+10 0 1 0 0 36 48 82 2.7
+10 0 1 0 0 36 48 84 3
+10 0 1 0 0 36 48 86 3.3
+10 0 1 0 0 36 48 88 3.6
+10 0 1 0 0 36 48 90 3.9
+10 0 1 0 0 36 48 92 4.2
+10 0 1 0 0 36 48 94 4.5
+10 0 1 0 0 36 48 96 4.8
+10 0 1 0 0 36 48 98 5.1
+10 0 1 0 0 36 48 100 5.4
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 1.95
+11 0 2 0 0 36 48 52 1.8
+11 0 2 0 0 36 48 53 1.65
+11 0 2 0 0 36 48 54 1.5
+11 0 2 0 0 36 48 55 1.35
+11 0 2 0 0 36 48 56 1.2
+11 0 2 0 0 36 48 57 1.05
+11 0 2 0 0 36 48 58 0.9
+11 0 2 0 0 36 48 59 0.75
+11 0 2 0 0 36 48 60 0.6
+11 0 2 0 0 36 48 61 0.45
+11 0 2 0 0 36 48 62 0.3
+11 0 2 0 0 36 48 63 0.15
+11 0 2 0 0 36 48 64 6.2803698347351e-16
+11 0 2 0 0 36 48 65 0.15
+11 0 2 0 0 36 48 66 0.3
+11 0 2 0 0 36 48 67 0.45
+11 0 2 0 0 36 48 68 0.6
+11 0 2 0 0 36 48 69 0.75
+11 0 2 0 0 36 48 70 0.9
+11 0 2 0 0 36 48 71 1.05
+11 0 2 0 0 36 48 72 1.2
+11 0 2 0 0 36 48 73 1.35
+11 0 2 0 0 36 48 74 1.5
+11 0 2 0 0 36 48 75 1.65
+11 0 2 0 0 36 48 76 1.8
+11 0 2 0 0 36 48 77 1.95
+11 0 2 0 0 36 48 78 2.1
+11 0 2 0 0 36 48 79 2.25
+11 0 2 0 0 36 48 80 2.4
+11 0 2 0 0 36 48 81 2.55
+11 0 2 0 0 36 48 82 2.7
+11 0 2 0 0 36 48 83 2.85
+11 0 2 0 0 36 48 84 3
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 1.95
+12 0 2 0 0 36 48 52 1.8
+12 0 2 0 0 36 48 53 1.65
+12 0 2 0 0 36 48 54 1.5
+12 0 2 0 0 36 48 55 1.35
+12 0 2 0 0 36 48 56 1.2
+12 0 2 0 0 36 48 57 1.05
+12 0 2 0 0 36 48 58 0.9
+12 0 2 0 0 36 48 59 0.75
+12 0 2 0 0 36 48 60 0.6
+12 0 2 0 0 36 48 61 0.45
+12 0 2 0 0 36 48 62 0.3
+12 0 2 0 0 36 48 63 0.15
+12 0 2 0 0 36 48 64 6.2803698347351e-16
+12 0 2 0 0 36 48 65 0.15
+12 0 2 0 0 36 48 66 0.3
+12 0 2 0 0 36 48 67 0.45
+12 0 2 0 0 36 48 68 0.6
+12 0 2 0 0 36 48 69 0.75
+12 0 2 0 0 36 48 70 0.9
+12 0 2 0 0 36 48 71 1.05
+12 0 2 0 0 36 48 72 1.2
+12 0 2 0 0 36 48 73 1.35
+12 0 2 0 0 36 48 74 1.5
+12 0 2 0 0 36 48 75 1.65
+12 0 2 0 0 36 48 76 1.8
+12 0 2 0 0 36 48 77 1.95
+12 0 2 0 0 36 48 78 2.1
+12 0 2 0 0 36 48 79 2.25
+12 0 2 0 0 36 48 80 2.4
+12 0 2 0 0 36 48 81 2.55
+12 0 2 0 0 36 48 82 2.7
+12 0 2 0 0 36 48 83 2.85
+12 0 2 0 0 36 48 84 3
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 4.5
+12 0 1 0 0 36 48 36 4.2
+12 0 1 0 0 36 48 38 3.9
+12 0 1 0 0 36 48 40 3.6
+12 0 1 0 0 36 48 42 3.3
+12 0 1 0 0 36 48 44 3
+12 0 1 0 0 36 48 46 2.7
+12 0 1 0 0 36 48 48 2.4
+12 0 1 0 0 36 48 50 2.1
+12 0 1 0 0 36 48 52 1.8
+12 0 1 0 0 36 48 54 1.5
+12 0 1 0 0 36 48 56 1.2
+12 0 1 0 0 36 48 58 0.9
+12 0 1 0 0 36 48 60 0.6
+12 0 1 0 0 36 48 62 0.3
+12 0 1 0 0 36 48 64 6.2803698347351e-16
+12 0 1 0 0 36 48 66 0.3
+12 0 1 0 0 36 48 68 0.6
+12 0 1 0 0 36 48 70 0.9
+12 0 1 0 0 36 48 72 1.2
+12 0 1 0 0 36 48 74 1.5
+12 0 1 0 0 36 48 76 1.8
+12 0 1 0 0 36 48 78 2.1
+12 0 1 0 0 36 48 80 2.4
+12 0 1 0 0 36 48 82 2.7
+12 0 1 0 0 36 48 84 3
+12 0 1 0 0 36 48 86 3.3
+12 0 1 0 0 36 48 88 3.6
+12 0 1 0 0 36 48 90 3.9
+12 0 1 0 0 36 48 92 4.2
+12 0 1 0 0 36 48 94 4.5
+12 0 1 0 0 36 48 96 4.8
+12 0 1 0 0 36 48 98 5.1
+12 0 1 0 0 36 48 100 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 9.6
+12 0 0 0 0 36 48 4 9
+12 0 0 0 0 36 48 8 8.4
+12 0 0 0 0 36 48 12 7.8
+12 0 0 0 0 36 48 16 7.2
+12 0 0 0 0 36 48 20 6.6
+12 0 0 0 0 36 48 24 6
+12 0 0 0 0 36 48 28 5.4
+12 0 0 0 0 36 48 32 4.8
+12 0 0 0 0 36 48 36 4.2
+12 0 0 0 0 36 48 40 3.6
+12 0 0 0 0 36 48 44 3
+12 0 0 0 0 36 48 48 2.4
+12 0 0 0 0 36 48 52 1.8
+12 0 0 0 0 36 48 56 1.2
+12 0 0 0 0 36 48 60 0.6
+12 0 0 0 0 36 48 64 6.2803698347351e-16
+12 0 0 0 0 36 48 68 0.6
+12 0 0 0 0 36 48 72 1.2
+12 0 0 0 0 36 48 76 1.8
+12 0 0 0 0 36 48 80 2.4
+12 0 0 0 0 36 48 84 3
+12 0 0 0 0 36 48 88 3.6
+12 0 0 0 0 36 48 92 4.2
+12 0 0 0 0 36 48 96 4.8
+12 0 0 0 0 36 48 100 5.4
+12 0 0 0 0 36 48 104 6
+12 0 0 0 0 36 48 108 6.6
+12 0 0 0 0 36 48 112 7.2
+12 0 0 0 0 36 48 116 7.8
+12 0 0 0 0 36 48 120 8.4
+12 0 0 0 0 36 48 124 9
+12 0 0 0 0 36 48 128 9.6
+12 0 0 0 0 36 48 132 10.2
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 1.95
+13 0 2 0 0 36 48 52 1.8
+13 0 2 0 0 36 48 53 1.65
+13 0 2 0 0 36 48 54 1.5
+13 0 2 0 0 36 48 55 1.35
+13 0 2 0 0 36 48 56 1.2
+13 0 2 0 0 36 48 57 1.05
+13 0 2 0 0 36 48 58 0.9
+13 0 2 0 0 36 48 59 0.75
+13 0 2 0 0 36 48 60 0.6
+13 0 2 0 0 36 48 61 0.45
+13 0 2 0 0 36 48 62 0.3
+13 0 2 0 0 36 48 63 0.15
+13 0 2 0 0 36 48 64 6.2803698347351e-16
+13 0 2 0 0 36 48 65 0.15
+13 0 2 0 0 36 48 66 0.3
+13 0 2 0 0 36 48 67 0.45
+13 0 2 0 0 36 48 68 0.6
+13 0 2 0 0 36 48 69 0.75
+13 0 2 0 0 36 48 70 0.9
+13 0 2 0 0 36 48 71 1.05
+13 0 2 0 0 36 48 72 1.2
+13 0 2 0 0 36 48 73 1.35
+13 0 2 0 0 36 48 74 1.5
+13 0 2 0 0 36 48 75 1.65
+13 0 2 0 0 36 48 76 1.8
+13 0 2 0 0 36 48 77 1.95
+13 0 2 0 0 36 48 78 2.1
+13 0 2 0 0 36 48 79 2.25
+13 0 2 0 0 36 48 80 2.4
+13 0 2 0 0 36 48 81 2.55
+13 0 2 0 0 36 48 82 2.7
+13 0 2 0 0 36 48 83 2.85
+13 0 2 0 0 36 48 84 3
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 1.95
+14 0 2 0 0 36 48 52 1.8
+14 0 2 0 0 36 48 53 1.65
+14 0 2 0 0 36 48 54 1.5
+14 0 2 0 0 36 48 55 1.35
+14 0 2 0 0 36 48 56 1.2
+14 0 2 0 0 36 48 57 1.05
+14 0 2 0 0 36 48 58 0.9
+14 0 2 0 0 36 48 59 0.75
+14 0 2 0 0 36 48 60 0.6
+14 0 2 0 0 36 48 61 0.45
+14 0 2 0 0 36 48 62 0.3
+14 0 2 0 0 36 48 63 0.15
+14 0 2 0 0 36 48 64 6.2803698347351e-16
+14 0 2 0 0 36 48 65 0.15
+14 0 2 0 0 36 48 66 0.3
+14 0 2 0 0 36 48 67 0.45
+14 0 2 0 0 36 48 68 0.6
+14 0 2 0 0 36 48 69 0.75
+14 0 2 0 0 36 48 70 0.9
+14 0 2 0 0 36 48 71 1.05
+14 0 2 0 0 36 48 72 1.2
+14 0 2 0 0 36 48 73 1.35
+14 0 2 0 0 36 48 74 1.5
+14 0 2 0 0 36 48 75 1.65
+14 0 2 0 0 36 48 76 1.8
+14 0 2 0 0 36 48 77 1.95
+14 0 2 0 0 36 48 78 2.1
+14 0 2 0 0 36 48 79 2.25
+14 0 2 0 0 36 48 80 2.4
+14 0 2 0 0 36 48 81 2.55
+14 0 2 0 0 36 48 82 2.7
+14 0 2 0 0 36 48 83 2.85
+14 0 2 0 0 36 48 84 3
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 4.5
+14 0 1 0 0 36 48 36 4.2
+14 0 1 0 0 36 48 38 3.9
+14 0 1 0 0 36 48 40 3.6
+14 0 1 0 0 36 48 42 3.3
+14 0 1 0 0 36 48 44 3
+14 0 1 0 0 36 48 46 2.7
+14 0 1 0 0 36 48 48 2.4
+14 0 1 0 0 36 48 50 2.1
+14 0 1 0 0 36 48 52 1.8
+14 0 1 0 0 36 48 54 1.5
+14 0 1 0 0 36 48 56 1.2
+14 0 1 0 0 36 48 58 0.9
+14 0 1 0 0 36 48 60 0.6
+14 0 1 0 0 36 48 62 0.3
+14 0 1 0 0 36 48 64 6.2803698347351e-16
+14 0 1 0 0 36 48 66 0.3
+14 0 1 0 0 36 48 68 0.6
+14 0 1 0 0 36 48 70 0.9
+14 0 1 0 0 36 48 72 1.2
+14 0 1 0 0 36 48 74 1.5
+14 0 1 0 0 36 48 76 1.8
+14 0 1 0 0 36 48 78 2.1
+14 0 1 0 0 36 48 80 2.4
+14 0 1 0 0 36 48 82 2.7
+14 0 1 0 0 36 48 84 3
+14 0 1 0 0 36 48 86 3.3
+14 0 1 0 0 36 48 88 3.6
+14 0 1 0 0 36 48 90 3.9
+14 0 1 0 0 36 48 92 4.2
+14 0 1 0 0 36 48 94 4.5
+14 0 1 0 0 36 48 96 4.8
+14 0 1 0 0 36 48 98 5.1
+14 0 1 0 0 36 48 100 5.4
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 1.95
+15 0 2 0 0 36 48 52 1.8
+15 0 2 0 0 36 48 53 1.65
+15 0 2 0 0 36 48 54 1.5
+15 0 2 0 0 36 48 55 1.35
+15 0 2 0 0 36 48 56 1.2
+15 0 2 0 0 36 48 57 1.05
+15 0 2 0 0 36 48 58 0.9
+15 0 2 0 0 36 48 59 0.75
+15 0 2 0 0 36 48 60 0.6
+15 0 2 0 0 36 48 61 0.45
+15 0 2 0 0 36 48 62 0.3
+15 0 2 0 0 36 48 63 0.15
+15 0 2 0 0 36 48 64 6.2803698347351e-16
+15 0 2 0 0 36 48 65 0.15
+15 0 2 0 0 36 48 66 0.3
+15 0 2 0 0 36 48 67 0.45
+15 0 2 0 0 36 48 68 0.6
+15 0 2 0 0 36 48 69 0.75
+15 0 2 0 0 36 48 70 0.9
+15 0 2 0 0 36 48 71 1.05
+15 0 2 0 0 36 48 72 1.2
+15 0 2 0 0 36 48 73 1.35
+15 0 2 0 0 36 48 74 1.5
+15 0 2 0 0 36 48 75 1.65
+15 0 2 0 0 36 48 76 1.8
+15 0 2 0 0 36 48 77 1.95
+15 0 2 0 0 36 48 78 2.1
+15 0 2 0 0 36 48 79 2.25
+15 0 2 0 0 36 48 80 2.4
+15 0 2 0 0 36 48 81 2.55
+15 0 2 0 0 36 48 82 2.7
+15 0 2 0 0 36 48 83 2.85
+15 0 2 0 0 36 48 84 3
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 1.95
+16 0 2 0 0 36 48 52 1.8
+16 0 2 0 0 36 48 53 1.65
+16 0 2 0 0 36 48 54 1.5
+16 0 2 0 0 36 48 55 1.35
+16 0 2 0 0 36 48 56 1.2
+16 0 2 0 0 36 48 57 1.05
+16 0 2 0 0 36 48 58 0.9
+16 0 2 0 0 36 48 59 0.75
+16 0 2 0 0 36 48 60 0.6
+16 0 2 0 0 36 48 61 0.45
+16 0 2 0 0 36 48 62 0.3
+16 0 2 0 0 36 48 63 0.15
+16 0 2 0 0 36 48 64 6.2803698347351e-16
+16 0 2 0 0 36 48 65 0.15
+16 0 2 0 0 36 48 66 0.3
+16 0 2 0 0 36 48 67 0.45
+16 0 2 0 0 36 48 68 0.6
+16 0 2 0 0 36 48 69 0.75
+16 0 2 0 0 36 48 70 0.9
+16 0 2 0 0 36 48 71 1.05
+16 0 2 0 0 36 48 72 1.2
+16 0 2 0 0 36 48 73 1.35
+16 0 2 0 0 36 48 74 1.5
+16 0 2 0 0 36 48 75 1.65
+16 0 2 0 0 36 48 76 1.8
+16 0 2 0 0 36 48 77 1.95
+16 0 2 0 0 36 48 78 2.1
+16 0 2 0 0 36 48 79 2.25
+16 0 2 0 0 36 48 80 2.4
+16 0 2 0 0 36 48 81 2.55
+16 0 2 0 0 36 48 82 2.7
+16 0 2 0 0 36 48 83 2.85
+16 0 2 0 0 36 48 84 3
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 4.5
+16 0 1 0 0 36 48 36 4.2
+16 0 1 0 0 36 48 38 3.9
+16 0 1 0 0 36 48 40 3.6
+16 0 1 0 0 36 48 42 3.3
+16 0 1 0 0 36 48 44 3
+16 0 1 0 0 36 48 46 2.7
+16 0 1 0 0 36 48 48 2.4
+16 0 1 0 0 36 48 50 2.1
+16 0 1 0 0 36 48 52 1.8
+16 0 1 0 0 36 48 54 1.5
+16 0 1 0 0 36 48 56 1.2
+16 0 1 0 0 36 48 58 0.9
+16 0 1 0 0 36 48 60 0.6
+16 0 1 0 0 36 48 62 0.3
+16 0 1 0 0 36 48 64 6.2803698347351e-16
+16 0 1 0 0 36 48 66 0.3
+16 0 1 0 0 36 48 68 0.6
+16 0 1 0 0 36 48 70 0.9
+16 0 1 0 0 36 48 72 1.2
+16 0 1 0 0 36 48 74 1.5
+16 0 1 0 0 36 48 76 1.8
+16 0 1 0 0 36 48 78 2.1
+16 0 1 0 0 36 48 80 2.4
+16 0 1 0 0 36 48 82 2.7
+16 0 1 0 0 36 48 84 3
+16 0 1 0 0 36 48 86 3.3
+16 0 1 0 0 36 48 88 3.6
+16 0 1 0 0 36 48 90 3.9
+16 0 1 0 0 36 48 92 4.2
+16 0 1 0 0 36 48 94 4.5
+16 0 1 0 0 36 48 96 4.8
+16 0 1 0 0 36 48 98 5.1
+16 0 1 0 0 36 48 100 5.4
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 9.6
+16 0 0 0 0 36 48 4 9
+16 0 0 0 0 36 48 8 8.4
+16 0 0 0 0 36 48 12 7.8
+16 0 0 0 0 36 48 16 7.2
+16 0 0 0 0 36 48 20 6.6
+16 0 0 0 0 36 48 24 6
+16 0 0 0 0 36 48 28 5.4
+16 0 0 0 0 36 48 32 4.8
+16 0 0 0 0 36 48 36 4.2
+16 0 0 0 0 36 48 40 3.6
+16 0 0 0 0 36 48 44 3
+16 0 0 0 0 36 48 48 2.4
+16 0 0 0 0 36 48 52 1.8
+16 0 0 0 0 36 48 56 1.2
+16 0 0 0 0 36 48 60 0.6
+16 0 0 0 0 36 48 64 6.2803698347351e-16
+16 0 0 0 0 36 48 68 0.6
+16 0 0 0 0 36 48 72 1.2
+16 0 0 0 0 36 48 76 1.8
+16 0 0 0 0 36 48 80 2.4
+16 0 0 0 0 36 48 84 3
+16 0 0 0 0 36 48 88 3.6
+16 0 0 0 0 36 48 92 4.2
+16 0 0 0 0 36 48 96 4.8
+16 0 0 0 0 36 48 100 5.4
+16 0 0 0 0 36 48 104 6
+16 0 0 0 0 36 48 108 6.6
+16 0 0 0 0 36 48 112 7.2
+16 0 0 0 0 36 48 116 7.8
+16 0 0 0 0 36 48 120 8.4
+16 0 0 0 0 36 48 124 9
+16 0 0 0 0 36 48 128 9.6
+16 0 0 0 0 36 48 132 10.2
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 1.95
+17 0 2 0 0 36 48 52 1.8
+17 0 2 0 0 36 48 53 1.65
+17 0 2 0 0 36 48 54 1.5
+17 0 2 0 0 36 48 55 1.35
+17 0 2 0 0 36 48 56 1.2
+17 0 2 0 0 36 48 57 1.05
+17 0 2 0 0 36 48 58 0.9
+17 0 2 0 0 36 48 59 0.75
+17 0 2 0 0 36 48 60 0.6
+17 0 2 0 0 36 48 61 0.45
+17 0 2 0 0 36 48 62 0.3
+17 0 2 0 0 36 48 63 0.15
+17 0 2 0 0 36 48 64 6.2803698347351e-16
+17 0 2 0 0 36 48 65 0.15
+17 0 2 0 0 36 48 66 0.3
+17 0 2 0 0 36 48 67 0.45
+17 0 2 0 0 36 48 68 0.6
+17 0 2 0 0 36 48 69 0.75
+17 0 2 0 0 36 48 70 0.9
+17 0 2 0 0 36 48 71 1.05
+17 0 2 0 0 36 48 72 1.2
+17 0 2 0 0 36 48 73 1.35
+17 0 2 0 0 36 48 74 1.5
+17 0 2 0 0 36 48 75 1.65
+17 0 2 0 0 36 48 76 1.8
+17 0 2 0 0 36 48 77 1.95
+17 0 2 0 0 36 48 78 2.1
+17 0 2 0 0 36 48 79 2.25
+17 0 2 0 0 36 48 80 2.4
+17 0 2 0 0 36 48 81 2.55
+17 0 2 0 0 36 48 82 2.7
+17 0 2 0 0 36 48 83 2.85
+17 0 2 0 0 36 48 84 3
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 1.95
+18 0 2 0 0 36 48 52 1.8
+18 0 2 0 0 36 48 53 1.65
+18 0 2 0 0 36 48 54 1.5
+18 0 2 0 0 36 48 55 1.35
+18 0 2 0 0 36 48 56 1.2
+18 0 2 0 0 36 48 57 1.05
+18 0 2 0 0 36 48 58 0.9
+18 0 2 0 0 36 48 59 0.75
+18 0 2 0 0 36 48 60 0.6
+18 0 2 0 0 36 48 61 0.45
+18 0 2 0 0 36 48 62 0.3
+18 0 2 0 0 36 48 63 0.15
+18 0 2 0 0 36 48 64 6.2803698347351e-16
+18 0 2 0 0 36 48 65 0.15
+18 0 2 0 0 36 48 66 0.3
+18 0 2 0 0 36 48 67 0.45
+18 0 2 0 0 36 48 68 0.6
+18 0 2 0 0 36 48 69 0.75
+18 0 2 0 0 36 48 70 0.9
+18 0 2 0 0 36 48 71 1.05
+18 0 2 0 0 36 48 72 1.2
+18 0 2 0 0 36 48 73 1.35
+18 0 2 0 0 36 48 74 1.5
+18 0 2 0 0 36 48 75 1.65
+18 0 2 0 0 36 48 76 1.8
+18 0 2 0 0 36 48 77 1.95
+18 0 2 0 0 36 48 78 2.1
+18 0 2 0 0 36 48 79 2.25
+18 0 2 0 0 36 48 80 2.4
+18 0 2 0 0 36 48 81 2.55
+18 0 2 0 0 36 48 82 2.7
+18 0 2 0 0 36 48 83 2.85
+18 0 2 0 0 36 48 84 3
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 4.5
+18 0 1 0 0 36 48 36 4.2
+18 0 1 0 0 36 48 38 3.9
+18 0 1 0 0 36 48 40 3.6
+18 0 1 0 0 36 48 42 3.3
+18 0 1 0 0 36 48 44 3
+18 0 1 0 0 36 48 46 2.7
+18 0 1 0 0 36 48 48 2.4
+18 0 1 0 0 36 48 50 2.1
+18 0 1 0 0 36 48 52 1.8
+18 0 1 0 0 36 48 54 1.5
+18 0 1 0 0 36 48 56 1.2
+18 0 1 0 0 36 48 58 0.9
+18 0 1 0 0 36 48 60 0.6
+18 0 1 0 0 36 48 62 0.3
+18 0 1 0 0 36 48 64 6.2803698347351e-16
+18 0 1 0 0 36 48 66 0.3
+18 0 1 0 0 36 48 68 0.6
+18 0 1 0 0 36 48 70 0.9
+18 0 1 0 0 36 48 72 1.2
+18 0 1 0 0 36 48 74 1.5
+18 0 1 0 0 36 48 76 1.8
+18 0 1 0 0 36 48 78 2.1
+18 0 1 0 0 36 48 80 2.4
+18 0 1 0 0 36 48 82 2.7
+18 0 1 0 0 36 48 84 3
+18 0 1 0 0 36 48 86 3.3
+18 0 1 0 0 36 48 88 3.6
+18 0 1 0 0 36 48 90 3.9
+18 0 1 0 0 36 48 92 4.2
+18 0 1 0 0 36 48 94 4.5
+18 0 1 0 0 36 48 96 4.8
+18 0 1 0 0 36 48 98 5.1
+18 0 1 0 0 36 48 100 5.4
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 1.95
+19 0 2 0 0 36 48 52 1.8
+19 0 2 0 0 36 48 53 1.65
+19 0 2 0 0 36 48 54 1.5
+19 0 2 0 0 36 48 55 1.35
+19 0 2 0 0 36 48 56 1.2
+19 0 2 0 0 36 48 57 1.05
+19 0 2 0 0 36 48 58 0.9
+19 0 2 0 0 36 48 59 0.75
+19 0 2 0 0 36 48 60 0.6
+19 0 2 0 0 36 48 61 0.45
+19 0 2 0 0 36 48 62 0.3
+19 0 2 0 0 36 48 63 0.15
+19 0 2 0 0 36 48 64 6.2803698347351e-16
+19 0 2 0 0 36 48 65 0.15
+19 0 2 0 0 36 48 66 0.3
+19 0 2 0 0 36 48 67 0.45
+19 0 2 0 0 36 48 68 0.6
+19 0 2 0 0 36 48 69 0.75
+19 0 2 0 0 36 48 70 0.9
+19 0 2 0 0 36 48 71 1.05
+19 0 2 0 0 36 48 72 1.2
+19 0 2 0 0 36 48 73 1.35
+19 0 2 0 0 36 48 74 1.5
+19 0 2 0 0 36 48 75 1.65
+19 0 2 0 0 36 48 76 1.8
+19 0 2 0 0 36 48 77 1.95
+19 0 2 0 0 36 48 78 2.1
+19 0 2 0 0 36 48 79 2.25
+19 0 2 0 0 36 48 80 2.4
+19 0 2 0 0 36 48 81 2.55
+19 0 2 0 0 36 48 82 2.7
+19 0 2 0 0 36 48 83 2.85
+19 0 2 0 0 36 48 84 3
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 1.95
+20 0 2 0 0 36 48 52 1.8
+20 0 2 0 0 36 48 53 1.65
+20 0 2 0 0 36 48 54 1.5
+20 0 2 0 0 36 48 55 1.35
+20 0 2 0 0 36 48 56 1.2
+20 0 2 0 0 36 48 57 1.05
+20 0 2 0 0 36 48 58 0.9
+20 0 2 0 0 36 48 59 0.75
+20 0 2 0 0 36 48 60 0.6
+20 0 2 0 0 36 48 61 0.45
+20 0 2 0 0 36 48 62 0.3
+20 0 2 0 0 36 48 63 0.15
+20 0 2 0 0 36 48 64 6.2803698347351e-16
+20 0 2 0 0 36 48 65 0.15
+20 0 2 0 0 36 48 66 0.3
+20 0 2 0 0 36 48 67 0.45
+20 0 2 0 0 36 48 68 0.6
+20 0 2 0 0 36 48 69 0.75
+20 0 2 0 0 36 48 70 0.9
+20 0 2 0 0 36 48 71 1.05
+20 0 2 0 0 36 48 72 1.2
+20 0 2 0 0 36 48 73 1.35
+20 0 2 0 0 36 48 74 1.5
+20 0 2 0 0 36 48 75 1.65
+20 0 2 0 0 36 48 76 1.8
+20 0 2 0 0 36 48 77 1.95
+20 0 2 0 0 36 48 78 2.1
+20 0 2 0 0 36 48 79 2.25
+20 0 2 0 0 36 48 80 2.4
+20 0 2 0 0 36 48 81 2.55
+20 0 2 0 0 36 48 82 2.7
+20 0 2 0 0 36 48 83 2.85
+20 0 2 0 0 36 48 84 3
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 4.5
+20 0 1 0 0 36 48 36 4.2
+20 0 1 0 0 36 48 38 3.9
+20 0 1 0 0 36 48 40 3.6
+20 0 1 0 0 36 48 42 3.3
+20 0 1 0 0 36 48 44 3
+20 0 1 0 0 36 48 46 2.7
+20 0 1 0 0 36 48 48 2.4
+20 0 1 0 0 36 48 50 2.1
+20 0 1 0 0 36 48 52 1.8
+20 0 1 0 0 36 48 54 1.5
+20 0 1 0 0 36 48 56 1.2
+20 0 1 0 0 36 48 58 0.9
+20 0 1 0 0 36 48 60 0.6
+20 0 1 0 0 36 48 62 0.3
+20 0 1 0 0 36 48 64 6.2803698347351e-16
+20 0 1 0 0 36 48 66 0.3
+20 0 1 0 0 36 48 68 0.6
+20 0 1 0 0 36 48 70 0.9
+20 0 1 0 0 36 48 72 1.2
+20 0 1 0 0 36 48 74 1.5
+20 0 1 0 0 36 48 76 1.8
+20 0 1 0 0 36 48 78 2.1
+20 0 1 0 0 36 48 80 2.4
+20 0 1 0 0 36 48 82 2.7
+20 0 1 0 0 36 48 84 3
+20 0 1 0 0 36 48 86 3.3
+20 0 1 0 0 36 48 88 3.6
+20 0 1 0 0 36 48 90 3.9
+20 0 1 0 0 36 48 92 4.2
+20 0 1 0 0 36 48 94 4.5
+20 0 1 0 0 36 48 96 4.8
+20 0 1 0 0 36 48 98 5.1
+20 0 1 0 0 36 48 100 5.4
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 9.6
+20 0 0 0 0 36 48 4 9
+20 0 0 0 0 36 48 8 8.4
+20 0 0 0 0 36 48 12 7.8
+20 0 0 0 0 36 48 16 7.2
+20 0 0 0 0 36 48 20 6.6
+20 0 0 0 0 36 48 24 6
+20 0 0 0 0 36 48 28 5.4
+20 0 0 0 0 36 48 32 4.8
+20 0 0 0 0 36 48 36 4.2
+20 0 0 0 0 36 48 40 3.6
+20 0 0 0 0 36 48 44 3
+20 0 0 0 0 36 48 48 2.4
+20 0 0 0 0 36 48 52 1.8
+20 0 0 0 0 36 48 56 1.2
+20 0 0 0 0 36 48 60 0.6
+20 0 0 0 0 36 48 64 6.2803698347351e-16
+20 0 0 0 0 36 48 68 0.6
+20 0 0 0 0 36 48 72 1.2
+20 0 0 0 0 36 48 76 1.8
+20 0 0 0 0 36 48 80 2.4
+20 0 0 0 0 36 48 84 3
+20 0 0 0 0 36 48 88 3.6
+20 0 0 0 0 36 48 92 4.2
+20 0 0 0 0 36 48 96 4.8
+20 0 0 0 0 36 48 100 5.4
+20 0 0 0 0 36 48 104 6
+20 0 0 0 0 36 48 108 6.6
+20 0 0 0 0 36 48 112 7.2
+20 0 0 0 0 36 48 116 7.8
+20 0 0 0 0 36 48 120 8.4
+20 0 0 0 0 36 48 124 9
+20 0 0 0 0 36 48 128 9.6
+20 0 0 0 0 36 48 132 10.2
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 1.95
+21 0 2 0 0 36 48 52 1.8
+21 0 2 0 0 36 48 53 1.65
+21 0 2 0 0 36 48 54 1.5
+21 0 2 0 0 36 48 55 1.35
+21 0 2 0 0 36 48 56 1.2
+21 0 2 0 0 36 48 57 1.05
+21 0 2 0 0 36 48 58 0.9
+21 0 2 0 0 36 48 59 0.75
+21 0 2 0 0 36 48 60 0.6
+21 0 2 0 0 36 48 61 0.45
+21 0 2 0 0 36 48 62 0.3
+21 0 2 0 0 36 48 63 0.15
+21 0 2 0 0 36 48 64 6.2803698347351e-16
+21 0 2 0 0 36 48 65 0.15
+21 0 2 0 0 36 48 66 0.3
+21 0 2 0 0 36 48 67 0.45
+21 0 2 0 0 36 48 68 0.6
+21 0 2 0 0 36 48 69 0.75
+21 0 2 0 0 36 48 70 0.9
+21 0 2 0 0 36 48 71 1.05
+21 0 2 0 0 36 48 72 1.2
+21 0 2 0 0 36 48 73 1.35
+21 0 2 0 0 36 48 74 1.5
+21 0 2 0 0 36 48 75 1.65
+21 0 2 0 0 36 48 76 1.8
+21 0 2 0 0 36 48 77 1.95
+21 0 2 0 0 36 48 78 2.1
+21 0 2 0 0 36 48 79 2.25
+21 0 2 0 0 36 48 80 2.4
+21 0 2 0 0 36 48 81 2.55
+21 0 2 0 0 36 48 82 2.7
+21 0 2 0 0 36 48 83 2.85
+21 0 2 0 0 36 48 84 3
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 1.95
+22 0 2 0 0 36 48 52 1.8
+22 0 2 0 0 36 48 53 1.65
+22 0 2 0 0 36 48 54 1.5
+22 0 2 0 0 36 48 55 1.35
+22 0 2 0 0 36 48 56 1.2
+22 0 2 0 0 36 48 57 1.05
+22 0 2 0 0 36 48 58 0.9
+22 0 2 0 0 36 48 59 0.75
+22 0 2 0 0 36 48 60 0.6
+22 0 2 0 0 36 48 61 0.45
+22 0 2 0 0 36 48 62 0.3
+22 0 2 0 0 36 48 63 0.15
+22 0 2 0 0 36 48 64 6.2803698347351e-16
+22 0 2 0 0 36 48 65 0.15
+22 0 2 0 0 36 48 66 0.3
+22 0 2 0 0 36 48 67 0.45
+22 0 2 0 0 36 48 68 0.6
+22 0 2 0 0 36 48 69 0.75
+22 0 2 0 0 36 48 70 0.9
+22 0 2 0 0 36 48 71 1.05
+22 0 2 0 0 36 48 72 1.2
+22 0 2 0 0 36 48 73 1.35
+22 0 2 0 0 36 48 74 1.5
+22 0 2 0 0 36 48 75 1.65
+22 0 2 0 0 36 48 76 1.8
+22 0 2 0 0 36 48 77 1.95
+22 0 2 0 0 36 48 78 2.1
+22 0 2 0 0 36 48 79 2.25
+22 0 2 0 0 36 48 80 2.4
+22 0 2 0 0 36 48 81 2.55
+22 0 2 0 0 36 48 82 2.7
+22 0 2 0 0 36 48 83 2.85
+22 0 2 0 0 36 48 84 3
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 4.5
+22 0 1 0 0 36 48 36 4.2
+22 0 1 0 0 36 48 38 3.9
+22 0 1 0 0 36 48 40 3.6
+22 0 1 0 0 36 48 42 3.3
+22 0 1 0 0 36 48 44 3
+22 0 1 0 0 36 48 46 2.7
+22 0 1 0 0 36 48 48 2.4
+22 0 1 0 0 36 48 50 2.1
+22 0 1 0 0 36 48 52 1.8
+22 0 1 0 0 36 48 54 1.5
+22 0 1 0 0 36 48 56 1.2
+22 0 1 0 0 36 48 58 0.9
+22 0 1 0 0 36 48 60 0.6
+22 0 1 0 0 36 48 62 0.3
+22 0 1 0 0 36 48 64 6.2803698347351e-16
+22 0 1 0 0 36 48 66 0.3
+22 0 1 0 0 36 48 68 0.6
+22 0 1 0 0 36 48 70 0.9
+22 0 1 0 0 36 48 72 1.2
+22 0 1 0 0 36 48 74 1.5
+22 0 1 0 0 36 48 76 1.8
+22 0 1 0 0 36 48 78 2.1
+22 0 1 0 0 36 48 80 2.4
+22 0 1 0 0 36 48 82 2.7
+22 0 1 0 0 36 48 84 3
+22 0 1 0 0 36 48 86 3.3
+22 0 1 0 0 36 48 88 3.6
+22 0 1 0 0 36 48 90 3.9
+22 0 1 0 0 36 48 92 4.2
+22 0 1 0 0 36 48 94 4.5
+22 0 1 0 0 36 48 96 4.8
+22 0 1 0 0 36 48 98 5.1
+22 0 1 0 0 36 48 100 5.4
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 1.95
+23 0 2 0 0 36 48 52 1.8
+23 0 2 0 0 36 48 53 1.65
+23 0 2 0 0 36 48 54 1.5
+23 0 2 0 0 36 48 55 1.35
+23 0 2 0 0 36 48 56 1.2
+23 0 2 0 0 36 48 57 1.05
+23 0 2 0 0 36 48 58 0.9
+23 0 2 0 0 36 48 59 0.75
+23 0 2 0 0 36 48 60 0.6
+23 0 2 0 0 36 48 61 0.45
+23 0 2 0 0 36 48 62 0.3
+23 0 2 0 0 36 48 63 0.15
+23 0 2 0 0 36 48 64 6.2803698347351e-16
+23 0 2 0 0 36 48 65 0.15
+23 0 2 0 0 36 48 66 0.3
+23 0 2 0 0 36 48 67 0.45
+23 0 2 0 0 36 48 68 0.6
+23 0 2 0 0 36 48 69 0.75
+23 0 2 0 0 36 48 70 0.9
+23 0 2 0 0 36 48 71 1.05
+23 0 2 0 0 36 48 72 1.2
+23 0 2 0 0 36 48 73 1.35
+23 0 2 0 0 36 48 74 1.5
+23 0 2 0 0 36 48 75 1.65
+23 0 2 0 0 36 48 76 1.8
+23 0 2 0 0 36 48 77 1.95
+23 0 2 0 0 36 48 78 2.1
+23 0 2 0 0 36 48 79 2.25
+23 0 2 0 0 36 48 80 2.4
+23 0 2 0 0 36 48 81 2.55
+23 0 2 0 0 36 48 82 2.7
+23 0 2 0 0 36 48 83 2.85
+23 0 2 0 0 36 48 84 3
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 1.95
+24 0 2 0 0 36 48 52 1.8
+24 0 2 0 0 36 48 53 1.65
+24 0 2 0 0 36 48 54 1.5
+24 0 2 0 0 36 48 55 1.35
+24 0 2 0 0 36 48 56 1.2
+24 0 2 0 0 36 48 57 1.05
+24 0 2 0 0 36 48 58 0.9
+24 0 2 0 0 36 48 59 0.75
+24 0 2 0 0 36 48 60 0.6
+24 0 2 0 0 36 48 61 0.45
+24 0 2 0 0 36 48 62 0.3
+24 0 2 0 0 36 48 63 0.15
+24 0 2 0 0 36 48 64 6.2803698347351e-16
+24 0 2 0 0 36 48 65 0.15
+24 0 2 0 0 36 48 66 0.3
+24 0 2 0 0 36 48 67 0.45
+24 0 2 0 0 36 48 68 0.6
+24 0 2 0 0 36 48 69 0.75
+24 0 2 0 0 36 48 70 0.9
+24 0 2 0 0 36 48 71 1.05
+24 0 2 0 0 36 48 72 1.2
+24 0 2 0 0 36 48 73 1.35
+24 0 2 0 0 36 48 74 1.5
+24 0 2 0 0 36 48 75 1.65
+24 0 2 0 0 36 48 76 1.8
+24 0 2 0 0 36 48 77 1.95
+24 0 2 0 0 36 48 78 2.1
+24 0 2 0 0 36 48 79 2.25
+24 0 2 0 0 36 48 80 2.4
+24 0 2 0 0 36 48 81 2.55
+24 0 2 0 0 36 48 82 2.7
+24 0 2 0 0 36 48 83 2.85
+24 0 2 0 0 36 48 84 3
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 4.5
+24 0 1 0 0 36 48 36 4.2
+24 0 1 0 0 36 48 38 3.9
+24 0 1 0 0 36 48 40 3.6
+24 0 1 0 0 36 48 42 3.3
+24 0 1 0 0 36 48 44 3
+24 0 1 0 0 36 48 46 2.7
+24 0 1 0 0 36 48 48 2.4
+24 0 1 0 0 36 48 50 2.1
+24 0 1 0 0 36 48 52 1.8
+24 0 1 0 0 36 48 54 1.5
+24 0 1 0 0 36 48 56 1.2
+24 0 1 0 0 36 48 58 0.9
+24 0 1 0 0 36 48 60 0.6
+24 0 1 0 0 36 48 62 0.3
+24 0 1 0 0 36 48 64 6.2803698347351e-16
+24 0 1 0 0 36 48 66 0.3
+24 0 1 0 0 36 48 68 0.6
+24 0 1 0 0 36 48 70 0.9
+24 0 1 0 0 36 48 72 1.2
+24 0 1 0 0 36 48 74 1.5
+24 0 1 0 0 36 48 76 1.8
+24 0 1 0 0 36 48 78 2.1
+24 0 1 0 0 36 48 80 2.4
+24 0 1 0 0 36 48 82 2.7
+24 0 1 0 0 36 48 84 3
+24 0 1 0 0 36 48 86 3.3
+24 0 1 0 0 36 48 88 3.6
+24 0 1 0 0 36 48 90 3.9
+24 0 1 0 0 36 48 92 4.2
+24 0 1 0 0 36 48 94 4.5
+24 0 1 0 0 36 48 96 4.8
+24 0 1 0 0 36 48 98 5.1
+24 0 1 0 0 36 48 100 5.4
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 9.6
+24 0 0 0 0 36 48 4 9
+24 0 0 0 0 36 48 8 8.4
+24 0 0 0 0 36 48 12 7.8
+24 0 0 0 0 36 48 16 7.2
+24 0 0 0 0 36 48 20 6.6
+24 0 0 0 0 36 48 24 6
+24 0 0 0 0 36 48 28 5.4
+24 0 0 0 0 36 48 32 4.8
+24 0 0 0 0 36 48 36 4.2
+24 0 0 0 0 36 48 40 3.6
+24 0 0 0 0 36 48 44 3
+24 0 0 0 0 36 48 48 2.4
+24 0 0 0 0 36 48 52 1.8
+24 0 0 0 0 36 48 56 1.2
+24 0 0 0 0 36 48 60 0.6
+24 0 0 0 0 36 48 64 6.2803698347351e-16
+24 0 0 0 0 36 48 68 0.6
+24 0 0 0 0 36 48 72 1.2
+24 0 0 0 0 36 48 76 1.8
+24 0 0 0 0 36 48 80 2.4
+24 0 0 0 0 36 48 84 3
+24 0 0 0 0 36 48 88 3.6
+24 0 0 0 0 36 48 92 4.2
+24 0 0 0 0 36 48 96 4.8
+24 0 0 0 0 36 48 100 5.4
+24 0 0 0 0 36 48 104 6
+24 0 0 0 0 36 48 108 6.6
+24 0 0 0 0 36 48 112 7.2
+24 0 0 0 0 36 48 116 7.8
+24 0 0 0 0 36 48 120 8.4
+24 0 0 0 0 36 48 124 9
+24 0 0 0 0 36 48 128 9.6
+24 0 0 0 0 36 48 132 10.2
+
+
diff --git a/CarpetExtra/WaveToyExpl/README b/CarpetExtra/WaveToyExpl/README
new file mode 100644
index 000000000..2b5cde667
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/README
@@ -0,0 +1,12 @@
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/README,v 1.1 2003/06/18 18:24:30 schnetter Exp $
+
+Cactus Code Thorn WaveToyExpl
+Thorn Author(s) : Erik Schnetter <schnetter@uni-tuebingen.de>
+Thorn Maintainer(s) : Erik Schnetter <schnetter@uni-tuebingen.de>
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+Integrate the scalar wave equation with a multi-step integrator, but
+preserving the intermediate steps to allow fine grid boundary
+prolongation on them.
diff --git a/CarpetExtra/WaveToyExpl/configuration.ccl b/CarpetExtra/WaveToyExpl/configuration.ccl
new file mode 100644
index 000000000..848971fb3
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/configuration.ccl
@@ -0,0 +1,4 @@
+# Configuration definition for thorn Carpet/WaveToyExpl
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/configuration.ccl,v 1.2 2004/04/18 14:10:29 schnetter Exp $
+
+REQUIRES CartGrid3D
diff --git a/CarpetExtra/WaveToyExpl/doc/documentation.tex b/CarpetExtra/WaveToyExpl/doc/documentation.tex
new file mode 100644
index 000000000..a1a11c41b
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/doc/documentation.tex
@@ -0,0 +1,144 @@
+% *======================================================================*
+% Cactus Thorn template for ThornGuide documentation
+% Author: Ian Kelley
+% Date: Sun Jun 02, 2002
+% $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/doc/documentation.tex,v 1.1 2003/06/18 18:24:30 schnetter Exp $
+%
+% Thorn documentation in the latex file doc/documentation.tex
+% will be included in ThornGuides built with the Cactus make system.
+% The scripts employed by the make system automatically include
+% pages about variables, parameters and scheduling parsed from the
+% relevent thorn CCL files.
+%
+% This template contains guidelines which help to assure that your
+% documentation will be correctly added to ThornGuides. More
+% information is available in the Cactus UsersGuide.
+%
+% Guidelines:
+% - Do not change anything before the line
+% % START CACTUS THORNGUIDE",
+% except for filling in the title, author, date etc. fields.
+% - Each of these fields should only be on ONE line.
+% - Author names should be sparated with a \\ or a comma
+% - You can define your own macros, but they must appear after
+% the START CACTUS THORNGUIDE line, and must not redefine standard
+% latex commands.
+% - To avoid name clashes with other thorns, 'labels', 'citations',
+% 'references', and 'image' names should conform to the following
+% convention:
+% ARRANGEMENT_THORN_LABEL
+% For example, an image wave.eps in the arrangement CactusWave and
+% thorn WaveToyC should be renamed to CactusWave_WaveToyC_wave.eps
+% - Graphics should only be included using the graphix package.
+% More specifically, with the "includegraphics" command. Do
+% not specify any graphic file extensions in your .tex file. This
+% will allow us (later) to create a PDF version of the ThornGuide
+% via pdflatex. |
+% - References should be included with the latex "bibitem" command.
+% - Use \begin{abstract}...\end{abstract} instead of \abstract{...}
+% - Do not use \appendix, instead include any appendices you need as
+% standard sections.
+% - For the benefit of our Perl scripts, and for future extensions,
+% please use simple latex.
+%
+% *======================================================================*
+%
+% Example of including a graphic image:
+% \begin{figure}[ht]
+% \begin{center}
+% \includegraphics[width=6cm]{MyArrangement_MyThorn_MyFigure}
+% \end{center}
+% \caption{Illustration of this and that}
+% \label{MyArrangement_MyThorn_MyLabel}
+% \end{figure}
+%
+% Example of using a label:
+% \label{MyArrangement_MyThorn_MyLabel}
+%
+% Example of a citation:
+% \cite{MyArrangement_MyThorn_Author99}
+%
+% Example of including a reference
+% \bibitem{MyArrangement_MyThorn_Author99}
+% {J. Author, {\em The Title of the Book, Journal, or periodical}, 1 (1999),
+% 1--16. {\tt http://www.nowhere.com/}}
+%
+% *======================================================================*
+
+% If you are using CVS use this line to give version information
+% $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/doc/documentation.tex,v 1.1 2003/06/18 18:24:30 schnetter Exp $
+
+\documentclass{article}
+
+% Use the Cactus ThornGuide style file
+% (Automatically used from Cactus distribution, if you have a
+% thorn without the Cactus Flesh download this from the Cactus
+% homepage at www.cactuscode.org)
+\usepackage{../../../../doc/latex/cactus}
+
+\begin{document}
+
+% The author of the documentation
+\author{Erik Schnetter \textless schnetter@uni-tuebingen.de\textgreater}
+
+% The title of the document (not necessarily the name of the Thorn)
+\title{}
+
+% the date your document was last changed, if your document is in CVS,
+% please use:
+% \date{$ $Date: 2003/06/18 18:24:30 $ $}
+\date{June 17 2003}
+
+\maketitle
+
+% Do not delete next line
+% START CACTUS THORNGUIDE
+
+% Add all definitions used in this documentation here
+% \def\mydef etc
+
+% Add an abstract for this thorn's documentation
+\begin{abstract}
+
+\end{abstract}
+
+% The following sections are suggestive only.
+% Remove them or add your own.
+
+\section{Introduction}
+
+\section{Physical System}
+
+\section{Numerical Implementation}
+
+\section{Using This Thorn}
+
+\subsection{Obtaining This Thorn}
+
+\subsection{Basic Usage}
+
+\subsection{Special Behaviour}
+
+\subsection{Interaction With Other Thorns}
+
+\subsection{Examples}
+
+\subsection{Support and Feedback}
+
+\section{History}
+
+\subsection{Thorn Source Code}
+
+\subsection{Thorn Documentation}
+
+\subsection{Acknowledgements}
+
+
+\begin{thebibliography}{9}
+
+\end{thebibliography}
+
+% Do not delete next line
+% END CACTUS THORNGUIDE
+
+\end{document}
diff --git a/CarpetExtra/WaveToyExpl/interface.ccl b/CarpetExtra/WaveToyExpl/interface.ccl
new file mode 100644
index 000000000..231d8e0ee
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/interface.ccl
@@ -0,0 +1,30 @@
+# Interface definition for thorn WaveToyExpl
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/interface.ccl,v 1.3 2004/05/21 17:43:57 schnetter Exp $
+
+IMPLEMENTS: WaveToyExpl
+
+INHERITS: grid
+
+
+
+CCTK_INT FUNCTION Boundary_SelectGroupForBC(CCTK_POINTER_TO_CONST IN GH, \
+ CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, \
+ CCTK_STRING IN group_name, CCTK_STRING IN bc_name)
+
+REQUIRES FUNCTION Boundary_SelectGroupForBC
+
+
+
+PUBLIC:
+
+CCTK_REAL scalarevolve TYPE=gf TIMELEVELS=3
+{
+ phi psi
+} "Scalar field"
+
+PRIVATE:
+
+CCTK_REAL scalarevolveint TYPE=gf TIMELEVELS=3
+{
+ phiint psiint
+} "Intermediate values of the scalar field"
diff --git a/CarpetExtra/WaveToyExpl/par/ew1d.gnu b/CarpetExtra/WaveToyExpl/par/ew1d.gnu
new file mode 100644
index 000000000..06a1e309f
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/par/ew1d.gnu
@@ -0,0 +1,19 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/par/ew1d.gnu,v 1.1 2003/06/18 18:24:30 schnetter Exp $
+
+set grid
+
+dt=0.05
+f(x)=cos(2*pi*(x+0.5*t*dt))
+
+t=400
+
+
+p [0:1] "ew1d_1l_0020/phi.xl" i t u 10:13 w l, "ew1d_1l_0040/phi.xl" i t u 10:13 w l, "ew1d_1l_0080/phi.xl" i t u 10:13 w l, f(x)
+
+p [0:1] "ew1d_1l_0020/phi.xl" i t u 10:($13-f($10)) w l, "ew1d_1l_0040/phi.xl" i t u 10:(4*($13-f($10))) w l, "ew1d_1l_0080/phi.xl" i t u 10:(16*($13-f($10))) w l
+
+
+
+p [0:1] "ew1d_2l_0020/phi.xl" i 2*t u 10:13 w l, "ew1d_2l_0040/phi.xl" i 2*t u 10:13 w l, "ew1d_2l_0080/phi.xl" i 2*t u 10:13 w l, "ew1d_2l_0160/phi.xl" i 2*t u 10:13 w l, "ew1d_2l_0320/phi.xl" i 2*t u 10:13 w l, f(x)
+
+p [0:1] "ew1d_2l_0020/phi.xl" i 2*t u 10:($13-f($10)) w l, "ew1d_2l_0040/phi.xl" i 2*t u 10:(4*($13-f($10))) w l, "ew1d_2l_0080/phi.xl" i 2*t u 10:(16*($13-f($10))) w l, "ew1d_2l_0160/phi.xl" i 2*t u 10:(64*($13-f($10))) w l, "ew1d_2l_0320/phi.xl" i 2*t u 10:(256*($13-f($10))) w l
diff --git a/CarpetExtra/WaveToyExpl/par/ew1d_1l_0020.par b/CarpetExtra/WaveToyExpl/par/ew1d_1l_0020.par
new file mode 100644
index 000000000..5f559808e
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/par/ew1d_1l_0020.par
@@ -0,0 +1,94 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/par/ew1d_1l_0020.par,v 1.2 2004/03/23 12:00:28 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 3200
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 16
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 24
+driver::global_ny = 7
+driver::global_nz = 7
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 1
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([28,6,6]:[68,16,16]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.1
+grid::ymin = -0.15
+grid::zmin = -0.15
+grid::xmax = +1.05
+grid::ymax = +0.15
+grid::zmax = +0.15
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time"
+
+Time::dtfac = 0.25
+
+
+
+ActiveThorns = "IDScalarWaveExpl WaveToyExpl"
+
+IDScalarWaveExpl::wave_number[0] = 1.0
+
+
+
+ActiveThorns = "Dissipation"
+
+Dissipation::epsdis = 0.1
+Dissipation::timelevel = "n+1"
+Dissipation::vars = "WaveToyExpl::scalarevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "ew1d_1l_0020"
+
+IOBasic::outInfo_every = 16
+IOBasic::outInfo_vars = "WaveToyExpl::phi"
+
+IOBasic::outScalar_every = 16
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyExpl::scalarevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 16
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyExpl::scalarevolve"
+
+#IOASCII::out3D_every = 16
+#IOASCII::out3D_vars = "WaveToyExpl::scalarevolve"
diff --git a/CarpetExtra/WaveToyExpl/par/ew1d_1l_0040.par b/CarpetExtra/WaveToyExpl/par/ew1d_1l_0040.par
new file mode 100644
index 000000000..9e17b21d3
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/par/ew1d_1l_0040.par
@@ -0,0 +1,94 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/par/ew1d_1l_0040.par,v 1.2 2004/03/23 12:00:28 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 6400
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 32
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 44
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 1
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([48,4,4]:[128,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.05
+grid::ymin = -0.05
+grid::zmin = -0.05
+grid::xmax = +1.025
+grid::ymax = +0.05
+grid::zmax = +0.05
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time"
+
+Time::dtfac = 0.25
+
+
+
+ActiveThorns = "IDScalarWaveExpl WaveToyExpl"
+
+IDScalarWaveExpl::wave_number[0] = 1.0
+
+
+
+ActiveThorns = "Dissipation"
+
+Dissipation::epsdis = 0.1
+Dissipation::timelevel = "n+1"
+Dissipation::vars = "WaveToyExpl::scalarevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "ew1d_1l_0040"
+
+IOBasic::outInfo_every = 32
+IOBasic::outInfo_vars = "WaveToyExpl::phi"
+
+IOBasic::outScalar_every = 32
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyExpl::scalarevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 32
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyExpl::scalarevolve"
+
+#IOASCII::out3D_every = 32
+#IOASCII::out3D_vars = "WaveToyExpl::scalarevolve"
diff --git a/CarpetExtra/WaveToyExpl/par/ew1d_1l_0080.par b/CarpetExtra/WaveToyExpl/par/ew1d_1l_0080.par
new file mode 100644
index 000000000..317a31c3e
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/par/ew1d_1l_0080.par
@@ -0,0 +1,94 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/par/ew1d_1l_0080.par,v 1.2 2004/03/23 12:00:28 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 12800
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 64
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 84
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 1
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([88,4,4]:[248,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.025
+grid::ymin = -0.025
+grid::zmin = -0.025
+grid::xmax = +1.0125
+grid::ymax = +0.025
+grid::zmax = +0.025
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time"
+
+Time::dtfac = 0.25
+
+
+
+ActiveThorns = "IDScalarWaveExpl WaveToyExpl"
+
+IDScalarWaveExpl::wave_number[0] = 1.0
+
+
+
+ActiveThorns = "Dissipation"
+
+Dissipation::epsdis = 0.1
+Dissipation::timelevel = "n+1"
+Dissipation::vars = "WaveToyExpl::scalarevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "ew1d_1l_0080"
+
+IOBasic::outInfo_every = 64
+IOBasic::outInfo_vars = "WaveToyExpl::phi"
+
+IOBasic::outScalar_every = 64
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyExpl::scalarevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 64
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyExpl::scalarevolve"
+
+#IOASCII::out3D_every = 64
+#IOASCII::out3D_vars = "WaveToyExpl::scalarevolve"
diff --git a/CarpetExtra/WaveToyExpl/par/ew1d_2l_0020.par b/CarpetExtra/WaveToyExpl/par/ew1d_2l_0020.par
new file mode 100644
index 000000000..1655ca90c
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/par/ew1d_2l_0020.par
@@ -0,0 +1,94 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/par/ew1d_2l_0020.par,v 1.2 2004/03/23 12:00:28 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 3200
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 16
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 24
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([28,4,4]:[68,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.1
+grid::ymin = -0.1
+grid::zmin = -0.1
+grid::xmax = +1.05
+grid::ymax = +0.1
+grid::zmax = +0.1
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time"
+
+Time::dtfac = 0.25
+
+
+
+ActiveThorns = "IDScalarWaveExpl WaveToyExpl"
+
+IDScalarWaveExpl::wave_number[0] = 1.0
+
+
+
+ActiveThorns = "Dissipation"
+
+Dissipation::epsdis = 0.1
+Dissipation::timelevel = "n+1"
+Dissipation::vars = "WaveToyExpl::scalarevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "ew1d_2l_0020"
+
+IOBasic::outInfo_every = 16
+IOBasic::outInfo_vars = "WaveToyExpl::phi"
+
+IOBasic::outScalar_every = 16
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyExpl::scalarevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 16
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyExpl::scalarevolve"
+
+#IOASCII::out3D_every = 16
+#IOASCII::out3D_vars = "WaveToyExpl::scalarevolve"
diff --git a/CarpetExtra/WaveToyExpl/par/ew1d_2l_0040.par b/CarpetExtra/WaveToyExpl/par/ew1d_2l_0040.par
new file mode 100644
index 000000000..9a03d1161
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/par/ew1d_2l_0040.par
@@ -0,0 +1,94 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/par/ew1d_2l_0040.par,v 1.2 2004/03/23 12:00:28 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 6400
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 32
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 44
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([48,4,4]:[128,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.05
+grid::ymin = -0.05
+grid::zmin = -0.05
+grid::xmax = +1.025
+grid::ymax = +0.05
+grid::zmax = +0.05
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time"
+
+Time::dtfac = 0.25
+
+
+
+ActiveThorns = "IDScalarWaveExpl WaveToyExpl"
+
+IDScalarWaveExpl::wave_number[0] = 1.0
+
+
+
+ActiveThorns = "Dissipation"
+
+Dissipation::epsdis = 0.1
+Dissipation::timelevel = "n+1"
+Dissipation::vars = "WaveToyExpl::scalarevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "ew1d_2l_0040"
+
+IOBasic::outInfo_every = 32
+IOBasic::outInfo_vars = "WaveToyExpl::phi"
+
+IOBasic::outScalar_every = 32
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyExpl::scalarevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 32
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyExpl::scalarevolve"
+
+#IOASCII::out3D_every = 32
+#IOASCII::out3D_vars = "WaveToyExpl::scalarevolve"
diff --git a/CarpetExtra/WaveToyExpl/par/ew1d_2l_0080.par b/CarpetExtra/WaveToyExpl/par/ew1d_2l_0080.par
new file mode 100644
index 000000000..19f8e285f
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/par/ew1d_2l_0080.par
@@ -0,0 +1,94 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/par/ew1d_2l_0080.par,v 1.2 2004/03/23 12:00:28 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 12800
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 64
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 84
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([88,4,4]:[248,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.025
+grid::ymin = -0.025
+grid::zmin = -0.025
+grid::xmax = +1.0125
+grid::ymax = +0.025
+grid::zmax = +0.025
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time"
+
+Time::dtfac = 0.25
+
+
+
+ActiveThorns = "IDScalarWaveExpl WaveToyExpl"
+
+IDScalarWaveExpl::wave_number[0] = 1.0
+
+
+
+ActiveThorns = "Dissipation"
+
+Dissipation::epsdis = 0.1
+Dissipation::timelevel = "n+1"
+Dissipation::vars = "WaveToyExpl::scalarevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "ew1d_2l_0080"
+
+IOBasic::outInfo_every = 64
+IOBasic::outInfo_vars = "WaveToyExpl::phi"
+
+IOBasic::outScalar_every = 64
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyExpl::scalarevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 64
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyExpl::scalarevolve"
+
+#IOASCII::out3D_every = 64
+#IOASCII::out3D_vars = "WaveToyExpl::scalarevolve"
diff --git a/CarpetExtra/WaveToyExpl/par/ew1d_2l_0160.par b/CarpetExtra/WaveToyExpl/par/ew1d_2l_0160.par
new file mode 100644
index 000000000..c35b6f512
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/par/ew1d_2l_0160.par
@@ -0,0 +1,94 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/par/ew1d_2l_0160.par,v 1.2 2004/03/23 12:00:28 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 25600
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 128
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 164
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([168,4,4]:[488,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.0125
+grid::ymin = -0.0125
+grid::zmin = -0.0125
+grid::xmax = +1.00625
+grid::ymax = +0.0125
+grid::zmax = +0.0125
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time"
+
+Time::dtfac = 0.25
+
+
+
+ActiveThorns = "IDScalarWaveExpl WaveToyExpl"
+
+IDScalarWaveExpl::wave_number[0] = 1.0
+
+
+
+ActiveThorns = "Dissipation"
+
+Dissipation::epsdis = 0.1
+Dissipation::timelevel = "n+1"
+Dissipation::vars = "WaveToyExpl::scalarevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "ew1d_2l_0160"
+
+IOBasic::outInfo_every = 128
+IOBasic::outInfo_vars = "WaveToyExpl::phi"
+
+IOBasic::outScalar_every = 128
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyExpl::scalarevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 128
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyExpl::scalarevolve"
+
+#IOASCII::out3D_every = 128
+#IOASCII::out3D_vars = "WaveToyExpl::scalarevolve"
diff --git a/CarpetExtra/WaveToyExpl/par/ew1d_2l_0320.par b/CarpetExtra/WaveToyExpl/par/ew1d_2l_0320.par
new file mode 100644
index 000000000..03637dfb0
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/par/ew1d_2l_0320.par
@@ -0,0 +1,94 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/par/ew1d_2l_0320.par,v 1.2 2004/03/23 12:00:28 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 51200
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 256
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 324
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([328,4,4]:[968,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.00625
+grid::ymin = -0.00625
+grid::zmin = -0.00625
+grid::xmax = +1.003125
+grid::ymax = +0.00625
+grid::zmax = +0.00625
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time"
+
+Time::dtfac = 0.25
+
+
+
+ActiveThorns = "IDScalarWaveExpl WaveToyExpl"
+
+IDScalarWaveExpl::wave_number[0] = 1.0
+
+
+
+ActiveThorns = "Dissipation"
+
+Dissipation::epsdis = 0.1
+Dissipation::timelevel = "n+1"
+Dissipation::vars = "WaveToyExpl::scalarevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "ew1d_2l_0320"
+
+IOBasic::outInfo_every = 256
+IOBasic::outInfo_vars = "WaveToyExpl::phi"
+
+IOBasic::outScalar_every = 256
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyExpl::scalarevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 256
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyExpl::scalarevolve"
+
+#IOASCII::out3D_every = 256
+#IOASCII::out3D_vars = "WaveToyExpl::scalarevolve"
diff --git a/CarpetExtra/WaveToyExpl/param.ccl b/CarpetExtra/WaveToyExpl/param.ccl
new file mode 100644
index 000000000..99aeaa2c1
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/param.ccl
@@ -0,0 +1,7 @@
+# Parameter definitions for thorn WaveToyExpl
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/param.ccl,v 1.1 2003/06/18 18:24:30 schnetter Exp $
+
+STRING bound "Type of boundary condition to use"
+{
+ .* :: "must be a registered boundary condition"
+} "None"
diff --git a/CarpetExtra/WaveToyExpl/schedule.ccl b/CarpetExtra/WaveToyExpl/schedule.ccl
new file mode 100644
index 000000000..8ef598e24
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/schedule.ccl
@@ -0,0 +1,77 @@
+# Schedule definitions for thorn WaveToyExpl
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/schedule.ccl,v 1.3 2003/11/05 16:18:40 schnetter Exp $
+
+STORAGE: scalarevolve[3]
+STORAGE: scalarevolveint[3]
+
+
+
+SCHEDULE WaveToyExpl_Startup AT startup
+{
+ LANG: Fortran
+} "Register banner"
+
+SCHEDULE WaveToyExpl_InitSymBound AT basegrid
+{
+ LANG: Fortran
+ OPTIONS: global
+} "Schedule symmetries"
+
+
+
+SCHEDULE WaveToyExpl_IntInit AT postinitial
+{
+ LANG: Fortran
+} "Initialise intermediate variables"
+
+
+
+SCHEDULE WaveToyExpl_IntStep AT evol
+{
+ LANG: Fortran
+} "Calculate intermediate step"
+
+SCHEDULE WaveToyExpl_IntBoundaries AT evol AFTER WaveToyExpl_IntStep
+{
+ LANG: Fortran
+ SYNC: scalarevolveint
+} "Select boundary conditions after intermediate step"
+
+SCHEDULE GROUP ApplyBCs AS WaveToyExpl_ApplyIntBoundaries AT evol AFTER WaveToyExpl_IntBoundaries
+{
+} "Apply boundary conditions after intermediate step"
+
+
+
+SCHEDULE WaveToyExpl_FinalStep AT evol AFTER WaveToyExpl_ApplyIntBoundaries
+{
+ LANG: Fortran
+} "Calculate final step"
+
+SCHEDULE WaveToyExpl_FinalBoundaries AT evol AFTER WaveToyExpl_FinalStep
+{
+ LANG: Fortran
+ SYNC: scalarevolve
+} "Select boundary conditions after final step"
+
+SCHEDULE GROUP ApplyBCs AS WaveToyExpl_ApplyFinalBoundaries AT evol AFTER WaveToyExpl_FinalBoundaries
+{
+} "Apply boundary conditions after final step"
+
+
+
+SCHEDULE WaveToyExpl_IntBoundaries AT POSTRESTRICT
+{
+ LANG: Fortran
+ SYNC: scalarevolveint
+} "Select boundary conditions after restricting"
+
+SCHEDULE WaveToyExpl_FinalBoundaries AT POSTRESTRICT
+{
+ LANG: Fortran
+ SYNC: scalarevolve
+} "Select boundary conditions after restricting"
+
+SCHEDULE GROUP ApplyBCs AS WaveToyExpl_ApplyBoundaries AT POSTRESTRICT AFTER (WaveToyMoL_IntBoundaries, WaveToyMoL_FinalBoundaries)
+{
+} "Apply boundary conditions after restricting"
diff --git a/CarpetExtra/WaveToyExpl/src/finalboundaries.F77 b/CarpetExtra/WaveToyExpl/src/finalboundaries.F77
new file mode 100644
index 000000000..c00960fc3
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/src/finalboundaries.F77
@@ -0,0 +1,25 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/src/finalboundaries.F77,v 1.2 2003/10/27 15:31:40 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine WaveToyExpl_FinalBoundaries (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ CCTK_INT bndwidth
+ parameter (bndwidth = 1)
+ character fbound*100
+ CCTK_INT fboundlen
+ integer ierr
+ call CCTK_FortranString (fboundlen, bound, fbound)
+ if (fboundlen.lt.0) call CCTK_WARN (0, "internal error")
+ ierr = Boundary_SelectGroupForBC (cctkGH, CCTK_ALL_FACES, bndwidth, -1,
+ $ "WaveToyExpl::scalarevolve", fbound);
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ call CartSymGN (ierr, cctkGH, "WaveToyExpl::scalarevolve")
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ end
diff --git a/CarpetExtra/WaveToyExpl/src/finalstep.F77 b/CarpetExtra/WaveToyExpl/src/finalstep.F77
new file mode 100644
index 000000000..b4304d60e
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/src/finalstep.F77
@@ -0,0 +1,36 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/src/finalstep.F77,v 1.2 2003/10/27 15:31:40 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine WaveToyExpl_FinalStep (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ CCTK_REAL dx(3), dt
+ integer i, j, k
+ integer d
+ do d=1,3
+ dx(d) = CCTK_DELTA_SPACE(d)
+ end do
+ dt = CCTK_DELTA_TIME
+ do k=1+cctk_nghostzones(3),cctk_lsh(3)-cctk_nghostzones(3)
+ do j=1+cctk_nghostzones(2),cctk_lsh(2)-cctk_nghostzones(2)
+ do i=1+cctk_nghostzones(1),cctk_lsh(1)-cctk_nghostzones(1)
+c d/dt phi = psi
+ phi(i,j,k) = phi_p(i,j,k) + dt/2 * (psi_p(i,j,k) + psiint(i,j,k))
+c d/dt psi = d^2/dx^2 phi
+ psi(i,j,k) = psi_p(i,j,k) + dt/2 *
+ $ ( (phi_p(i-1,j,k) - 2*phi_p(i,j,k) + phi_p(i+1,j,k)) / dx(1)**2
+ $ + (phi_p(i,j-1,k) - 2*phi_p(i,j,k) + phi_p(i,j+1,k)) / dx(2)**2
+ $ + (phi_p(i,j,k-1) - 2*phi_p(i,j,k) + phi_p(i,j,k+1)) / dx(3)**2
+ $ + (phiint(i-1,j,k) - 2*phiint(i,j,k) + phiint(i+1,j,k)) / dx(1)**2
+ $ + (phiint(i,j-1,k) - 2*phiint(i,j,k) + phiint(i,j+1,k)) / dx(2)**2
+ $ + (phiint(i,j,k-1) - 2*phiint(i,j,k) + phiint(i,j,k+1)) / dx(3)**2)
+ end do
+ end do
+ end do
+ end
diff --git a/CarpetExtra/WaveToyExpl/src/initsymbound.F77 b/CarpetExtra/WaveToyExpl/src/initsymbound.F77
new file mode 100644
index 000000000..2f4f182fc
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/src/initsymbound.F77
@@ -0,0 +1,23 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/src/initsymbound.F77,v 1.2 2003/10/27 15:31:40 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine WaveToyExpl_InitSymBound (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ integer sym(3)
+ integer d
+ integer ierr
+ do d=1,3
+ sym(d) = +1
+ end do
+ call SetCartSymGN (ierr, cctkGH, sym, "WaveToyExpl::scalarevolve")
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ call SetCartSymGN (ierr, cctkGH, sym, "WaveToyExpl::scalarevolveint")
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ end
diff --git a/CarpetExtra/WaveToyExpl/src/intboundaries.F77 b/CarpetExtra/WaveToyExpl/src/intboundaries.F77
new file mode 100644
index 000000000..838729f73
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/src/intboundaries.F77
@@ -0,0 +1,25 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/src/intboundaries.F77,v 1.3 2003/11/05 16:18:40 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine WaveToyExpl_IntBoundaries (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ CCTK_INT bndwidth
+ parameter (bndwidth = 1)
+ character fbound*100
+ CCTK_INT fboundlen
+ integer ierr
+ call CCTK_FortranString (fboundlen, bound, fbound)
+ if (fboundlen.lt.0) call CCTK_WARN (0, "internal error")
+ ierr = Boundary_SelectGroupForBC (cctkGH, CCTK_ALL_FACES, bndwidth, -1,
+ $ "WaveToyExpl::scalarevolveint", fbound);
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ call CartSymGN (ierr, cctkGH, "WaveToyExpl::scalarevolveint")
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ end
diff --git a/CarpetExtra/WaveToyExpl/src/intinit.F77 b/CarpetExtra/WaveToyExpl/src/intinit.F77
new file mode 100644
index 000000000..b2ebbaea2
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/src/intinit.F77
@@ -0,0 +1,26 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/src/intinit.F77,v 1.2 2003/10/27 15:31:40 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine WaveToyExpl_IntInit (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ integer i, j, k
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+ phiint(i,j,k) = phi(i,j,k)
+ phiint_p(i,j,k) = phi_p(i,j,k)
+ phiint_p_p(i,j,k) = phi_p_p(i,j,k)
+ psiint(i,j,k) = psi(i,j,k)
+ psiint_p(i,j,k) = psi_p(i,j,k)
+ psiint_p_p(i,j,k) = psi_p_p(i,j,k)
+ end do
+ end do
+ end do
+ end
diff --git a/CarpetExtra/WaveToyExpl/src/intstep.F77 b/CarpetExtra/WaveToyExpl/src/intstep.F77
new file mode 100644
index 000000000..909842c2a
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/src/intstep.F77
@@ -0,0 +1,33 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/src/intstep.F77,v 1.2 2003/10/27 15:31:40 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine WaveToyExpl_IntStep (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ CCTK_REAL dx(3), dt
+ integer i, j, k
+ integer d
+ do d=1,3
+ dx(d) = CCTK_DELTA_SPACE(d)
+ end do
+ dt = CCTK_DELTA_TIME
+ do k=1+cctk_nghostzones(3),cctk_lsh(3)-cctk_nghostzones(3)
+ do j=1+cctk_nghostzones(2),cctk_lsh(2)-cctk_nghostzones(2)
+ do i=1+cctk_nghostzones(1),cctk_lsh(1)-cctk_nghostzones(1)
+c d/dt phi = psi
+ phiint(i,j,k) = phi_p(i,j,k) + dt * psi_p(i,j,k)
+c d/dt psi = d^2/dx^2 phi
+ psiint(i,j,k) = psi_p(i,j,k) + dt *
+ $ ( (phi_p(i-1,j,k) - 2*phi_p(i,j,k) + phi_p(i+1,j,k)) / dx(1)**2
+ $ + (phi_p(i,j-1,k) - 2*phi_p(i,j,k) + phi_p(i,j+1,k)) / dx(2)**2
+ $ + (phi_p(i,j,k-1) - 2*phi_p(i,j,k) + phi_p(i,j,k+1)) / dx(3)**2)
+ end do
+ end do
+ end do
+ end
diff --git a/CarpetExtra/WaveToyExpl/src/make.code.defn b/CarpetExtra/WaveToyExpl/src/make.code.defn
new file mode 100644
index 000000000..d828a9051
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn WaveToyExpl
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/src/make.code.defn,v 1.1 2003/06/18 18:24:30 schnetter Exp $
+
+# Source files in this directory
+SRCS = finalboundaries.F77 finalstep.F77 initsymbound.F77 intboundaries.F77 intinit.F77 intstep.F77 startup.F77
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/CarpetExtra/WaveToyExpl/src/startup.F77 b/CarpetExtra/WaveToyExpl/src/startup.F77
new file mode 100644
index 000000000..ce33d9a1c
--- /dev/null
+++ b/CarpetExtra/WaveToyExpl/src/startup.F77
@@ -0,0 +1,14 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyExpl/src/startup.F77,v 1.2 2003/10/27 15:31:40 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine WaveToyExpl_Startup
+ implicit none
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ integer ierr
+ call CCTK_RegisterBanner (ierr, "WaveToyExpl: Evolving a scalar field with explicit intermediate integration steps")
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ end
diff --git a/CarpetExtra/WaveToyF77/COPYRIGHT b/CarpetExtra/WaveToyF77/COPYRIGHT
new file mode 100644
index 000000000..57b2896b0
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/COPYRIGHT
@@ -0,0 +1,352 @@
+
+
+This thorn is (c) Copyright the authors listed in the sources files. This
+thorn is distributed under the GNU GPL with the specific exception that
+the GNU GPL does not migrate to code linking to or using infrastructure
+from this thorn.
+
+- The Cactus Team <cactus@cactuscode.org>
+
+**************************************************************************
+
+ GNU GENERAL PUBLIC LICENSE
+ Version 2, June 1991
+
+ Copyright (C) 1989, 1991 Free Software Foundation, Inc.
+ 675 Mass Ave, Cambridge, MA 02139, USA
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
+
+ The licenses for most software are designed to take away your
+freedom to share and change it. By contrast, the GNU General Public
+License is intended to guarantee your freedom to share and change free
+software--to make sure the software is free for all its users. This
+General Public License applies to most of the Free Software
+Foundation's software and to any other program whose authors commit to
+using it. (Some other Free Software Foundation software is covered by
+the GNU Library General Public License instead.) You can apply it to
+your programs, too.
+
+ When we speak of free software, we are referring to freedom, not
+price. Our General Public Licenses are designed to make sure that you
+have the freedom to distribute copies of free software (and charge for
+this service if you wish), that you receive source code or can get it
+if you want it, that you can change the software or use pieces of it
+in new free programs; and that you know you can do these things.
+
+ To protect your rights, we need to make restrictions that forbid
+anyone to deny you these rights or to ask you to surrender the rights.
+These restrictions translate to certain responsibilities for you if you
+distribute copies of the software, or if you modify it.
+
+ For example, if you distribute copies of such a program, whether
+gratis or for a fee, you must give the recipients all the rights that
+you have. You must make sure that they, too, receive or can get the
+source code. And you must show them these terms so they know their
+rights.
+
+ We protect your rights with two steps: (1) copyright the software, and
+(2) offer you this license which gives you legal permission to copy,
+distribute and/or modify the software.
+
+ Also, for each author's protection and ours, we want to make certain
+that everyone understands that there is no warranty for this free
+software. If the software is modified by someone else and passed on, we
+want its recipients to know that what they have is not the original, so
+that any problems introduced by others will not reflect on the original
+authors' reputations.
+
+ Finally, any free program is threatened constantly by software
+patents. We wish to avoid the danger that redistributors of a free
+program will individually obtain patent licenses, in effect making the
+program proprietary. To prevent this, we have made it clear that any
+patent must be licensed for everyone's free use or not licensed at all.
+
+ The precise terms and conditions for copying, distribution and
+modification follow.
+
+ GNU GENERAL PUBLIC LICENSE
+ TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
+
+ 0. This License applies to any program or other work which contains
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+ Appendix: How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
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+
+ <one line to give the program's name and a brief idea of what it does.>
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+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
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+ (at your option) any later version.
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+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
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+ along with this program; if not, write to the Free Software
+ Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
+
+Also add information on how to contact you by electronic and paper mail.
+
+If the program is interactive, make it output a short notice like this
+when it starts in an interactive mode:
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+ Gnomovision version 69, Copyright (C) 19yy name of author
+ Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+ This is free software, and you are welcome to redistribute it
+ under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License. Of course, the commands you use may
+be called something other than `show w' and `show c'; they could even be
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+
+You should also get your employer (if you work as a programmer) or your
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+necessary. Here is a sample; alter the names:
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+ Yoyodyne, Inc., hereby disclaims all copyright interest in the program
+ `Gnomovision' (which makes passes at compilers) written by James Hacker.
+
+ <signature of Ty Coon>, 1 April 1989
+ Ty Coon, President of Vice
+
+This General Public License does not permit incorporating your program into
+proprietary programs. If your program is a subroutine library, you may
+consider it more useful to permit linking proprietary applications with the
+library. If this is what you want to do, use the GNU Library General
+Public License instead of this License.
+
+
diff --git a/CarpetExtra/WaveToyF77/README b/CarpetExtra/WaveToyF77/README
new file mode 100644
index 000000000..6acc319d8
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/README
@@ -0,0 +1,10 @@
+Cactus Code Thorn WaveToyF77
+Authors : Tom Goodale
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/README,v 1.1 2001/03/01 13:40:11 eschnett Exp $
+--------------------------------------------------------------------------
+
+1. Purpose of the thorn
+
+This thorn solves the linear wave equation
+
+
diff --git a/CarpetExtra/WaveToyF77/configuration.ccl b/CarpetExtra/WaveToyF77/configuration.ccl
new file mode 100644
index 000000000..345bdf6c4
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/configuration.ccl
@@ -0,0 +1,4 @@
+# Configuration definition for thorn Carpet/WaveToyF77
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/configuration.ccl,v 1.2 2004/04/18 14:10:29 schnetter Exp $
+
+REQUIRES Boundary Cart3d
diff --git a/CarpetExtra/WaveToyF77/interface.ccl b/CarpetExtra/WaveToyF77/interface.ccl
new file mode 100644
index 000000000..43a83ca78
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/interface.ccl
@@ -0,0 +1,12 @@
+# Interface definition for thorn WaveToyF77
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/interface.ccl,v 1.4 2004/05/21 17:43:57 schnetter Exp $
+
+implements: wavetoy
+inherits: grid
+
+public:
+
+CCTK_REAL scalarevolve type=GF timelevels=3
+{
+ phi
+} "The evolved scalar field"
diff --git a/CarpetExtra/WaveToyF77/par/convtest.gnuplot b/CarpetExtra/WaveToyF77/par/convtest.gnuplot
new file mode 100644
index 000000000..acd6d1526
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/convtest.gnuplot
@@ -0,0 +1,25 @@
+# initialise
+kx=0.222222222222222
+ky=0.151515151515152
+kz=0.222222222222222
+omega=sqrt(kx**2 + ky**2 + kz**2)
+
+
+
+# without refinement
+
+# solutions
+p "wavetoyf77_periodic/phi.zl" u ($8-1):($1==time&&$3==0?$9:0/0) w lp, "wavetoyf77_periodic_coarse/phi.zl" u (2*($8-1)):(2*$1==time&&$3==0?$9:0/0) w lp, cos((kz*(0.3*x-9) + omega*(0.15*time))*pi) w l
+
+# errors
+p "wavetoyf77_periodic/phi.zl" u ($8-1):($1==time&&$3==0?$9-cos((kz*(0.3*($8-1)-9) + omega*(0.15*time))*pi):0/0) w lp, "wavetoyf77_periodic_coarse/phi.zl" u (2*$8):(2*$1==time&&$3==0?$9-cos((kz*(0.3*(2*($8-1))-9) + omega*(0.15*time))*pi):0/0) w lp
+
+
+
+# with refinement
+
+# solutions
+p "wavetoyf77_periodic_rl2/phi.zl" u ($8-2):($1==time&&$3==0?$9:0/0) w lp, "wavetoyf77_periodic_coarse_rl2/phi.zl" u (2*($8-2)):(2*$1==time&&$3==0?$9:0/0) w lp, cos((kz*(0.15*x-9) + omega*(0.075*time))*pi) w l
+
+# errors
+p "wavetoyf77_periodic_rl2/phi.zl" u ($8-2):($1==time&&$3==0?$9-cos((kz*(0.15*($8-2)-9) + omega*(0.075*time))*pi):0/0) w lp, "wavetoyf77_periodic_coarse_rl2/phi.zl" u (2*($8-2)):(2*$1==time&&$3==0?$9-cos((kz*(0.15*(2*($8-2))-9) + omega*(0.075*time))*pi):0/0) w lp
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77.par b/CarpetExtra/WaveToyF77/par/wavetoyf77.par
new file mode 100644
index 000000000..823062ddb
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77.par
@@ -0,0 +1,40 @@
+# /*@@
+# @file wavetoyf77.par
+# @date 2001-01-07
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating minimal evolution
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77.par,v 1.8 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Carpet::verbose = no
+
+Time::dtfac = 0.5
+
+Carpet::global_nx = 21
+Carpet::global_ny = 21
+Carpet::global_nz = 21
+
+grid::type = byrange
+grid::xyzmin = -1.0
+grid::xyzmax = +1.0
+
+grid::mode = none
+
+WaveToy::bound = zero
+
+IO::out_dir = "wavetoyf77"
+
+IOBasic::outInfo_every = 1
+#IOBasic::outInfo_vars = "wavetoy::phi"
+
+#IOBasic::outScalar_every = 1
+#IOBasic::outScalar_vars = "wavetoy::phi"
+#IOBasic::outScalar_style = gnuplot
+
+IOASCII::out1D_every = 1
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_carpet.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_carpet.par
new file mode 100644
index 000000000..d03856cba
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_carpet.par
@@ -0,0 +1,39 @@
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO FlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab WaveToyF77"
+
+Cactus::cctk_itlast = 120
+
+Time::dtfac = 0.5
+
+driver::global_nx = 30
+driver::global_ny = 30
+driver::global_nz = 30
+
+grid::type = byspacing
+grid::mode = octant
+grid::dxyz = 0.3
+
+IO::out_dir = "wavetoyf77_carpet"
+
+IOBasic::outinfo_every = 10
+#IOBasic::outinfo_vars = "wavetoy::phi"
+
+#IOBasic::outScalar_every = 2
+#IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 2
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+IOFlexIO::out3D_every = 10
+IOFlexIO::out3D_vars = "wavetoy::phi"
+
+WaveToyF77::bound = radiation
+
+IOFlexIO::indir3D = "wavetoyf77_pugh"
+IOFlexIO::in3D_vars = "wavetoy::phi"
+IOFlexIO::in3D_format = IEEE
+IOFlexIO::in3D_extension = "_3d.ieee"
+
+#IOFlexIO::indir3D = "wavetoyf77_rad"
+#IOFlexIO::in3D_vars = "wavetoy::phi"
+#IOFlexIO::in3D_format = HDF5
+#IOFlexIO::in3D_extension = ".h5"
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_excision.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_excision.par
new file mode 100644
index 000000000..fb011661c
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_excision.par
@@ -0,0 +1,38 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_excision.par,v 1.6 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetIOFlexIO FlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::terminate = time
+Cactus::cctk_final_time = 10.0
+
+Time::dtfac = 0.5
+
+driver::global_nsize = 35
+
+Carpet::max_refinement_levels = 4
+
+grid::type = byspacing
+grid::dxyz = 0.0625
+grid::avoid_origin = no
+
+IO::out_dir = "wavetoyf77_excision"
+
+IOBasic::outinfo_every = 8
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 8
+IOBasic::outScalar_vars = "wavetoy::phi"
+IOBasic::outScalar_style = gnuplot
+
+IOASCII::out1D_every = 8
+IOASCII::out1D_vars = "wavetoy::phi"
+
+WaveToyF77::bound = radiation
+WaveToyF77::excision_bound = 1/r
+WaveToyF77::excision_radius = 0.25
+
+IDScalarWave::initial_data = 1/r
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_excision_rl2.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_excision_rl2.par
new file mode 100644
index 000000000..304e3ad2f
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_excision_rl2.par
@@ -0,0 +1,40 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_excision_rl2.par,v 1.6 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetIOFlexIO FlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::terminate = time
+Cactus::cctk_final_time = 10.0
+
+Time::dtfac = 0.5
+
+driver::global_nsize = 35
+
+Carpet::max_refinement_levels = 4
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byspacing
+grid::dxyz = 0.0625
+grid::avoid_origin = no
+
+IO::out_dir = "wavetoyf77_excision_rl2"
+
+IOBasic::outinfo_every = 8
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 8
+IOBasic::outScalar_vars = "wavetoy::phi"
+IOBasic::outScalar_style = gnuplot
+
+IOASCII::out1D_every = 8
+IOASCII::out1D_vars = "wavetoy::phi"
+
+WaveToyF77::bound = radiation
+WaveToyF77::excision_bound = 1/r
+WaveToyF77::excision_radius = 0.25
+
+IDScalarWave::initial_data = 1/r
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_excision_rl3.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_excision_rl3.par
new file mode 100644
index 000000000..153afb55d
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_excision_rl3.par
@@ -0,0 +1,40 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_excision_rl3.par,v 1.6 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetIOFlexIO FlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::terminate = time
+Cactus::cctk_final_time = 10.0
+
+Time::dtfac = 0.5
+
+driver::global_nsize = 35
+
+Carpet::max_refinement_levels = 4
+
+CarpetRegrid::refinement_levels = 3
+
+grid::type = byspacing
+grid::dxyz = 0.0625
+grid::avoid_origin = no
+
+IO::out_dir = "wavetoyf77_excision_rl3"
+
+IOBasic::outinfo_every = 8
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 8
+IOBasic::outScalar_vars = "wavetoy::phi"
+IOBasic::outScalar_style = gnuplot
+
+IOASCII::out1D_every = 8
+IOASCII::out1D_vars = "wavetoy::phi"
+
+WaveToyF77::bound = radiation
+WaveToyF77::excision_bound = 1/r
+WaveToyF77::excision_radius = 0.25
+
+IDScalarWave::initial_data = 1/r
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_flat.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_flat.par
new file mode 100644
index 000000000..6f765c6f9
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_flat.par
@@ -0,0 +1,41 @@
+# /*@@
+# @file wavetoy_flat.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating flat boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_flat.par,v 1.6 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Cactus::cctk_itlast = 500
+
+Time::dtfac = 0.5
+
+driver::global_nx = 30
+driver::global_ny = 30
+driver::global_nz = 30
+
+grid::type = byspacing
+grid::mode = octant
+grid::dxyz = 0.3
+
+IO::out_dir = "wavetoyf77_flat"
+
+IOBasic::outInfo_every = 50
+#IOBasic::outInfo_vars = "wavetoy::phi"
+
+#IOBasic::outScalar_every = 10
+#IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 10
+IOASCII::out1D_vars = "wavetoy::phi "
+
+WaveToyF77::bound = flat
+
+IDScalarWave::initial_data = gaussian
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 0
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_none.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_none.par
new file mode 100644
index 000000000..7eca77dd9
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_none.par
@@ -0,0 +1,41 @@
+# /*@@
+# @file wavetoy_none.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating no boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_none.par,v 1.5 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Cactus::cctk_itlast = 500
+
+Time::dtfac = 0.5
+
+driver::global_nx = 30
+driver::global_ny = 30
+driver::global_nz = 30
+
+grid::type = byspacing
+grid::mode = octant
+grid::dxyz = 0.3
+
+IO::out_dir = "wavetoyf77_none"
+
+IOBasic::outInfo_every = 50
+#IOBasic::outInfo_vars = "wavetoy::phi"
+
+#IOBasic::outScalar_every = 10
+#IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 10
+IOASCII::out1D_vars = "wavetoy::phi "
+
+WaveToyF77::bound = none
+
+IDScalarWave::initial_data = gaussian
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 0
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic.par
new file mode 100644
index 000000000..d9637f1c3
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic.par
@@ -0,0 +1,57 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic.par,v 1.11 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetIOFlexIO FlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 120
+
+Time::dtfac = 0.5
+
+driver::global_nx = 34
+driver::global_ny = 48
+driver::global_nz = 64
+
+driver::ghost_size = 2
+
+grid::type = byrange
+grid::xmin = -5.1
+grid::ymin = -6.9
+grid::zmin = -9.3
+grid::xmax = 4.8
+grid::ymax = 7.2
+grid::zmax = 9.6
+grid::mode = periodic
+
+IO::out_dir = "wavetoyf77_periodic"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+#IOFlexIO::out3D_every = 24
+#IOFlexIO::out3D_vars = "wavetoy::phi"
+#IOFlexIO::out3D_format = IEEE
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = plane
+IDScalarWave::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDScalarWave::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDScalarWave::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_coarse.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_coarse.par
new file mode 100644
index 000000000..8a2f3f1f2
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_coarse.par
@@ -0,0 +1,58 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_coarse.par,v 1.12 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetIOFlexIO FlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+#Carpet::poison_new_timelevels = yes
+#Carpet::check_for_poison = yes
+#Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 60
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "wavetoyf77_periodic_coarse"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+#IOFlexIO::out3D_every = 12
+#IOFlexIO::out3D_vars = "wavetoy::phi"
+#IOFlexIO::out3D_format = IEEE
+#IOFlexIO::out3D_extension = ".vcamr"
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = plane
+IDScalarWave::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDScalarWave::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDScalarWave::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_coarse_rl2.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_coarse_rl2.par
new file mode 100644
index 000000000..eca2f4784
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_coarse_rl2.par
@@ -0,0 +1,64 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_coarse_rl2.par,v 1.15 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetIOFlexIO FlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 120
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 2
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "wavetoyf77_periodic_coarse_rl2"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+#IOFlexIO::out3D_every = 24
+#IOFlexIO::out3D_vars = "wavetoy::phi"
+#IOFlexIO::out3D_format = IEEE
+#IOFlexIO::out3D_extension = ".vcamr"
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = plane
+IDScalarWave::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDScalarWave::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDScalarWave::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_coarse_rl3.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_coarse_rl3.par
new file mode 100644
index 000000000..00dd3b4d7
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_coarse_rl3.par
@@ -0,0 +1,64 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_coarse_rl3.par,v 1.13 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO FlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 240
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 3
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "wavetoyf77_periodic_coarse_rl3"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+IOFlexIO::out3D_every = 48
+IOFlexIO::out3D_vars = "wavetoy::phi"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = plane
+IDScalarWave::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDScalarWave::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDScalarWave::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_fine.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_fine.par
new file mode 100644
index 000000000..a6c784c72
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_fine.par
@@ -0,0 +1,57 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_fine.par,v 1.5 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetIOFlexIO FlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 240
+
+Time::dtfac = 0.5
+
+driver::global_nx = 64
+driver::global_ny = 92
+driver::global_nz = 124
+
+driver::ghost_size = 2
+
+grid::type = byrange
+grid::xmin = -4.95
+grid::ymin = -6.75
+grid::zmin = -9.15
+grid::xmax = 4.5
+grid::ymax = 6.9
+grid::zmax = 9.3
+grid::mode = periodic
+
+IO::out_dir = "wavetoyf77_periodic_fine"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 1 #2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+#IOFlexIO::out3D_every = 48
+#IOFlexIO::out3D_vars = "wavetoy::phi"
+#IOFlexIO::out3D_format = IEEE
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = plane
+IDScalarWave::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDScalarWave::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDScalarWave::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_fine_rl2.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_fine_rl2.par
new file mode 100644
index 000000000..06dd57676
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_fine_rl2.par
@@ -0,0 +1,63 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_fine_rl2.par,v 1.5 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetIOFlexIO FlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 480
+
+Time::dtfac = 0.5
+
+driver::global_nx = 64
+driver::global_ny = 92
+driver::global_nz = 124
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 2
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -4.95
+grid::ymin = -6.75
+grid::zmin = -9.15
+grid::xmax = 4.5
+grid::ymax = 6.9
+grid::zmax = 9.3
+grid::mode = periodic
+
+IO::out_dir = "wavetoyf77_periodic_fine_rl2"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+#IOFlexIO::out3D_every = 96
+#IOFlexIO::out3D_vars = "wavetoy::phi"
+#IOFlexIO::out3D_format = IEEE
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = plane
+IDScalarWave::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDScalarWave::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDScalarWave::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_fine_rl3.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_fine_rl3.par
new file mode 100644
index 000000000..d7ebd76ea
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_fine_rl3.par
@@ -0,0 +1,61 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_fine_rl3.par,v 1.4 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO FlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 960
+
+Time::dtfac = 0.5
+
+driver::global_nx = 64
+driver::global_ny = 92
+driver::global_nz = 124
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+grid::type = byrange
+grid::xmin = -4.95
+grid::ymin = -6.75
+grid::zmin = -9.15
+grid::xmax = 4.5
+grid::ymax = 6.9
+grid::zmax = 9.3
+grid::mode = periodic
+
+IO::out_dir = "wavetoyf77_periodic_fine_rl3"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+IOFlexIO::out3D_every = 192
+IOFlexIO::out3D_vars = "wavetoy::phi"
+IOFlexIO::out3D_format = IEEE
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = plane
+IDScalarWave::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDScalarWave::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDScalarWave::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_rl2.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_rl2.par
new file mode 100644
index 000000000..52d23d1f7
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_rl2.par
@@ -0,0 +1,63 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_rl2.par,v 1.13 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetIOFlexIO FlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 240
+
+Time::dtfac = 0.5
+
+driver::global_nx = 34
+driver::global_ny = 48
+driver::global_nz = 64
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 2
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -5.1
+grid::ymin = -6.9
+grid::zmin = -9.3
+grid::xmax = 4.8
+grid::ymax = 7.2
+grid::zmax = 9.6
+grid::mode = periodic
+
+IO::out_dir = "wavetoyf77_periodic_rl2"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+#IOFlexIO::out3D_every = 48
+#IOFlexIO::out3D_vars = "wavetoy::phi"
+#IOFlexIO::out3D_format = IEEE
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = plane
+IDScalarWave::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDScalarWave::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDScalarWave::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_rl3.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_rl3.par
new file mode 100644
index 000000000..d959e8d9d
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_rl3.par
@@ -0,0 +1,61 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_periodic_rl3.par,v 1.12 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO FlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 480
+
+Time::dtfac = 0.5
+
+driver::global_nx = 34
+driver::global_ny = 48
+driver::global_nz = 64
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+grid::type = byrange
+grid::xmin = -5.1
+grid::ymin = -6.9
+grid::zmin = -9.3
+grid::xmax = 4.8
+grid::ymax = 7.2
+grid::zmax = 9.6
+grid::mode = periodic
+
+IO::out_dir = "wavetoyf77_periodic_rl3"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+IOFlexIO::out3D_every = 96
+IOFlexIO::out3D_vars = "wavetoy::phi"
+IOFlexIO::out3D_format = IEEE
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = plane
+IDScalarWave::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDScalarWave::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDScalarWave::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_pugh.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_pugh.par
new file mode 100644
index 000000000..5e0f28ff4
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_pugh.par
@@ -0,0 +1,35 @@
+ActiveThorns = "boundary iobasic idscalarwave time wavetoyf77 pugh pughslab pughreduce cartgrid3d ioutil ioascii ioflexio flexio"
+
+time::dtfac = 0.5
+
+idscalarwave::initial_data = "gaussian"
+idscalarwave::sigma = 2.8
+idscalarwave::radius = 0
+
+wavetoyf77::bound = "radiation"
+
+grid::type = "BySpacing"
+grid::domain = "octant"
+grid::dxyz = 0.3
+
+driver::global_nx = 30
+driver::global_ny = 30
+driver::global_nz = 30
+
+cactus::cctk_itlast = 120
+
+IOBasic::outScalar_every = 2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 2
+IOASCII::out1D_z = "no"
+IOASCII::out1D_y = "no"
+IOASCII::out1D_vars = "wavetoy::phi"
+
+IOBasic::outinfo_every = 10
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOFlexIO::out3D_every = 1
+IOFlexIO::out3D_vars = "wavetoy::phi"
+
+IO::out_dir = "wavetoyf77_pugh"
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_rad.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad.par
new file mode 100644
index 000000000..5f7b87c17
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad.par
@@ -0,0 +1,47 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_rad.par,v 1.9 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO FlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Cactus::cctk_itlast = 120
+
+Time::dtfac = 0.5
+
+driver::global_nx = 30
+driver::global_ny = 30
+driver::global_nz = 30
+
+grid::type = byspacing
+grid::mode = octant
+grid::dxyz = 0.3
+
+IO::out_dir = "wavetoyf77_rad"
+
+IOBasic::outinfo_every = 10
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 2
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+IOASCII::separate_grids = no
+
+IOFlexIO::out3D_every = 10
+IOFlexIO::out3D_vars = "wavetoy::phi"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = gaussian
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 0
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_automatic.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_automatic.par
new file mode 100644
index 000000000..66df240d8
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_automatic.par
@@ -0,0 +1,59 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_automatic.par,v 1.6 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO FlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Cactus::cctk_itlast = 240
+
+Time::dtfac = 0.5
+
+driver::global_nx = 30
+driver::global_ny = 30
+driver::global_nz = 30
+
+grid::type = byspacing
+grid::mode = none
+grid::dxyz = 0.6
+
+Carpet::verbose = yes
+Carpet::max_refinement_levels = 3
+
+CarpetRegrid::refined_regions = automatic
+CarpetRegrid::refinement_levels = 3
+CarpetRegrid::regrid_every = 40
+CarpetRegrid::minwidth = 8
+CarpetRegrid::minfraction = 0.75
+CarpetRegrid::errorvar = "wavetoy::phi"
+CarpetRegrid::maxerror = 0.1
+
+IO::out_dir = "wavetoyf77_rad_automatic"
+
+IOBasic::outinfo_every = 40
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 8
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 8
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+IOASCII::separate_grids = yes
+IOASCII::separate_components = yes
+
+IOFlexIO::out3D_every = 40
+IOFlexIO::out3D_vars = "wavetoy::phi"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = gaussian
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 0
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_centre.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_centre.par
new file mode 100644
index 000000000..28d0b193b
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_centre.par
@@ -0,0 +1,54 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_centre.par,v 1.6 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO FlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Cactus::cctk_itlast = 240
+
+Time::dtfac = 0.5
+
+driver::global_nx = 30
+driver::global_ny = 30
+driver::global_nz = 30
+
+grid::type = byspacing
+grid::mode = none
+grid::dxyz = 0.6
+
+Carpet::verbose = yes
+Carpet::max_refinement_levels = 3
+
+CarpetRegrid::refined_regions = centre
+CarpetRegrid::refinement_levels = 3
+CarpetRegrid::regrid_every = 40
+
+IO::out_dir = "wavetoyf77_rad_centre"
+
+IOBasic::outinfo_every = 40
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 8
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 8
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+IOASCII::separate_grids = no
+
+IOFlexIO::out3D_every = 40
+IOFlexIO::out3D_vars = "wavetoy::phi"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = gaussian
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 0
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full.par
new file mode 100644
index 000000000..4b5ff3046
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full.par
@@ -0,0 +1,41 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full.par,v 1.5 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Cactus::cctk_itlast = 120
+
+Time::dtfac = 0.5
+
+driver::global_nx = 33
+driver::global_ny = 45
+driver::global_nz = 61
+
+grid::type = byspacing
+grid::dxyz = 0.3
+grid::avoid_origin = no
+
+IO::out_dir = "wavetoyf77_rad_full"
+
+IOBasic::outinfo_every = 1
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 1
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = gaussian
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 0
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_coarse.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_coarse.par
new file mode 100644
index 000000000..2b3041897
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_coarse.par
@@ -0,0 +1,41 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_coarse.par,v 1.7 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Cactus::cctk_itlast = 60
+
+Time::dtfac = 0.5
+
+driver::global_nx = 17
+driver::global_ny = 23
+driver::global_nz = 31
+
+grid::type = byspacing
+grid::dxyz = 0.6
+grid::avoid_origin = no
+
+IO::out_dir = "wavetoyf77_rad_full_coarse"
+
+IOBasic::outinfo_every = 1
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = gaussian
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 0
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_coarse_rl2.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_coarse_rl2.par
new file mode 100644
index 000000000..34fe7d655
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_coarse_rl2.par
@@ -0,0 +1,45 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_coarse_rl2.par,v 1.6 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Cactus::cctk_itlast = 120
+
+Time::dtfac = 0.5
+
+driver::global_nx = 17
+driver::global_ny = 23
+driver::global_nz = 31
+
+Carpet::max_refinement_levels = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byspacing
+grid::dxyz = 0.6
+grid::avoid_origin = no
+
+IO::out_dir = "wavetoyf77_rad_full_coarse_rl2"
+
+IOBasic::outinfo_every = 1
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = gaussian
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 0
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_coarse_rl3.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_coarse_rl3.par
new file mode 100644
index 000000000..3dd715e08
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_coarse_rl3.par
@@ -0,0 +1,45 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_coarse_rl3.par,v 1.6 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Cactus::cctk_itlast = 240
+
+Time::dtfac = 0.5
+
+driver::global_nx = 17
+driver::global_ny = 23
+driver::global_nz = 31
+
+Carpet::max_refinement_levels = 3
+
+CarpetRegrid::refinement_levels = 3
+
+grid::type = byspacing
+grid::dxyz = 0.6
+grid::avoid_origin = no
+
+IO::out_dir = "wavetoyf77_rad_full_coarse_rl3"
+
+IOBasic::outinfo_every = 1
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = gaussian
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 0
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_realcoarse.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_realcoarse.par
new file mode 100644
index 000000000..194ce0039
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_realcoarse.par
@@ -0,0 +1,41 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_realcoarse.par,v 1.4 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Cactus::cctk_itlast = 30
+
+Time::dtfac = 0.5
+
+driver::global_nx = 9
+driver::global_ny = 12
+driver::global_nz = 16
+
+grid::type = byspacing
+grid::dxyz = 1.2
+grid::avoid_origin = no
+
+IO::out_dir = "wavetoyf77_rad_full_realcoarse"
+
+IOBasic::outinfo_every = 1 # 10
+#IOBasic::outinfo_vars = "wavetoy::phi"
+
+#IOBasic::outScalar_every = 2
+#IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = gaussian
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 0
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_realcoarse_rl2.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_realcoarse_rl2.par
new file mode 100644
index 000000000..19fa632ca
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_realcoarse_rl2.par
@@ -0,0 +1,43 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_realcoarse_rl2.par,v 1.4 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Cactus::cctk_itlast = 30
+
+Time::dtfac = 0.5
+
+driver::global_nx = 9
+driver::global_ny = 12
+driver::global_nz = 16
+
+Carpet::max_refinement_levels = 2
+
+grid::type = byspacing
+grid::dxyz = 1.2
+grid::avoid_origin = no
+
+IO::out_dir = "wavetoyf77_rad_full_realcoarse_rl2"
+
+IOBasic::outinfo_every = 1 # 10
+#IOBasic::outinfo_vars = "wavetoy::phi"
+
+#IOBasic::outScalar_every = 2
+#IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = gaussian
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 0
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_realcoarse_rl3.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_realcoarse_rl3.par
new file mode 100644
index 000000000..451503e37
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_realcoarse_rl3.par
@@ -0,0 +1,43 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_realcoarse_rl3.par,v 1.4 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Cactus::cctk_itlast = 30
+
+Time::dtfac = 0.5
+
+driver::global_nx = 9
+driver::global_ny = 12
+driver::global_nz = 16
+
+Carpet::max_refinement_levels = 3
+
+grid::type = byspacing
+grid::dxyz = 1.2
+grid::avoid_origin = no
+
+IO::out_dir = "wavetoyf77_rad_full_realcoarse_rl3"
+
+IOBasic::outinfo_every = 1 # 10
+#IOBasic::outinfo_vars = "wavetoy::phi"
+
+#IOBasic::outScalar_every = 2
+#IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = gaussian
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 0
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_rl2.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_rl2.par
new file mode 100644
index 000000000..d283afe38
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_rl2.par
@@ -0,0 +1,45 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_rl2.par,v 1.5 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Cactus::cctk_itlast = 120
+
+Time::dtfac = 0.5
+
+driver::global_nx = 33
+driver::global_ny = 45
+driver::global_nz = 61
+
+Carpet::max_refinement_levels = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byspacing
+grid::dxyz = 0.3
+grid::avoid_origin = no
+
+IO::out_dir = "wavetoyf77_rad_full_rl2"
+
+IOBasic::outinfo_every = 1
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = gaussian
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 0
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_rl3.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_rl3.par
new file mode 100644
index 000000000..11474bbd9
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_rl3.par
@@ -0,0 +1,45 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_full_rl3.par,v 1.3 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Cactus::cctk_itlast = 240
+
+Time::dtfac = 0.5
+
+driver::global_nx = 33
+driver::global_ny = 45
+driver::global_nz = 61
+
+Carpet::max_refinement_levels = 3
+
+CarpetRegrid::refinement_levels = 3
+
+grid::type = byspacing
+grid::dxyz = 0.3
+grid::avoid_origin = no
+
+IO::out_dir = "wavetoyf77_rad_full_rl3"
+
+IOBasic::outinfo_every = 1
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = gaussian
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 0
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_none.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_none.par
new file mode 100644
index 000000000..e2c07db00
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_none.par
@@ -0,0 +1,53 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_rad_none.par,v 1.5 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetIOFlexIO FlexIO CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Cactus::cctk_itlast = 240
+
+Time::dtfac = 0.5
+
+driver::global_nx = 30
+driver::global_ny = 30
+driver::global_nz = 30
+
+grid::type = byspacing
+grid::mode = none
+grid::dxyz = 0.6
+
+Carpet::max_refinement_levels = 3
+
+CarpetRegrid::refined_regions = none
+CarpetRegrid::refinement_levels = 3
+CarpetRegrid::regrid_every = 40
+
+IO::out_dir = "wavetoyf77_rad_none"
+
+IOBasic::outinfo_every = 40
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 8
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 8
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+IOASCII::separate_grids = no
+
+IOFlexIO::out3D_every = 40
+IOFlexIO::out3D_vars = "wavetoy::phi"
+IOFlexIO::out3D_format = IEEE
+IOFlexIO::out3D_extension = ".vcamr"
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = gaussian
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 0
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_zero_ell_coarse.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_zero_ell_coarse.par
new file mode 100644
index 000000000..66121b671
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_zero_ell_coarse.par
@@ -0,0 +1,44 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_zero_ell_coarse.par,v 1.3 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Cactus::cctk_itlast = 60
+
+Time::dtfac = 0.5
+
+driver::global_nx = 17
+driver::global_ny = 23
+driver::global_nz = 31
+
+Carpet::base_extents = "[ ([1,1,1]:[15,21,14]:[1,1,1]), ([1,1,18]:[15,21,29]:[1,1,1]) ]"
+Carpet::base_bboxes = "[ [[1,1],[1,1],[1,1]], [[1,1],[1,1],[1,1]] ]"
+
+grid::type = byspacing
+grid::dxyz = 0.6
+grid::avoid_origin = no
+
+IO::out_dir = "wavetoyf77_zero_ell_coarse"
+
+IOBasic::outinfo_every = 1
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+WaveToyF77::bound = zero # radiation
+
+IDScalarWave::initial_data = gaussian
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 0
diff --git a/CarpetExtra/WaveToyF77/par/wavetoyf77_zero_ell_coarse_rl2.par b/CarpetExtra/WaveToyF77/par/wavetoyf77_zero_ell_coarse_rl2.par
new file mode 100644
index 000000000..bf73eafc9
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/par/wavetoyf77_zero_ell_coarse_rl2.par
@@ -0,0 +1,48 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/par/wavetoyf77_zero_ell_coarse_rl2.par,v 1.3 2004/03/23 12:00:37 schnetter Exp $
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Cactus::cctk_itlast = 120
+
+Time::dtfac = 0.5
+
+driver::global_nx = 17
+driver::global_ny = 23
+driver::global_nz = 31
+
+Carpet::base_extents = "[ ([2,2,2]:[30,42,28]:[2,2,2]), ([2,2,36]:[30,42,58]:[2,2,2]) ]"
+Carpet::base_bboxes = "[ [[1,1],[1,1],[1,1]], [[1,1],[1,1],[1,1]] ]"
+
+Carpet::max_refinement_levels = 2
+
+CarpetRegrid::refinement_levels = 1
+
+grid::type = byspacing
+grid::dxyz = 0.6
+grid::avoid_origin = no
+
+IO::out_dir = "wavetoyf77_zero_ell_coarse_rl2"
+
+IOBasic::outinfo_every = 1
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+WaveToyF77::bound = zero # radiation
+
+IDScalarWave::initial_data = gaussian
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 0
diff --git a/CarpetExtra/WaveToyF77/param.ccl b/CarpetExtra/WaveToyF77/param.ccl
new file mode 100644
index 000000000..2dc648a75
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/param.ccl
@@ -0,0 +1,25 @@
+# Parameter definitions for thorn WaveToyF77
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/param.ccl,v 1.7 2002/03/21 15:31:50 shawley Exp $
+
+private:
+
+KEYWORD bound "Type of boundary condition to use"
+{
+ "none" :: "No boundary condition"
+ "flat" :: "Flat boundary condition"
+ "radiation" :: "Radiation boundary condition"
+ "robin" :: "Robin boundary condition"
+ "zero" :: "Zero boundary condition"
+ "static" :: "Static boundary condition"
+} "zero"
+
+KEYWORD excision_bound "Type of excision boundary condition to use"
+{
+ "1/r" :: "use 1/r Dirichlet data"
+ "none" :: "no excision"
+} "none"
+
+REAL excision_radius "Radius of excision region"
+{
+ 0:* :: "must be nonnegative"
+} 1.0
diff --git a/CarpetExtra/WaveToyF77/schedule.ccl b/CarpetExtra/WaveToyF77/schedule.ccl
new file mode 100644
index 000000000..df5b885ec
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/schedule.ccl
@@ -0,0 +1,35 @@
+# Schedule definitions for thorn WaveToy77
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/schedule.ccl,v 1.6 2003/11/05 16:18:40 schnetter Exp $
+
+STORAGE: scalarevolve[3]
+
+schedule WaveToyF77_Startup at STARTUP
+{
+ LANG: Fortran
+} "Register banner"
+
+schedule WaveToyF77_InitSymBound at BASEGRID
+{
+ LANG: Fortran
+ OPTIONS: GLOBAL
+} "Schedule symmetries"
+
+
+
+schedule WaveToyF77_Boundaries as WaveToy_Boundaries at INITIAL after WaveToy_InitialData
+{
+ LANG: Fortran
+} "Boundaries of 3D wave equation"
+
+
+
+schedule WaveToyF77_Evolution as WaveToy_Evolution at EVOL
+{
+ LANG: Fortran
+ SYNC: scalarevolve
+} "Evolution of 3D wave equation"
+
+schedule WaveToyF77_Boundaries as WaveToy_Boundaries at EVOL after WaveToy_Evolution
+{
+ LANG: Fortran
+} "Boundaries of 3D wave equation"
diff --git a/CarpetExtra/WaveToyF77/src/InitSymBound.F77 b/CarpetExtra/WaveToyF77/src/InitSymBound.F77
new file mode 100644
index 000000000..69dd2971d
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/src/InitSymBound.F77
@@ -0,0 +1,44 @@
+c -*-Fortran-*-
+
+ /*@@
+ @file InitSymBound.F77
+ @date
+ @author Gabrielle Allen, Erik Schnetter
+ @desc
+ Sets the symmetries for Wave Toy
+ @enddesc
+ @@*/
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ /*@@
+ @routine WaveToyF77_InitSymBound
+ @date
+ @author Gabrielle Allen, Erik Schnetter
+ @desc
+ Sets the symmetries for Wave Toy
+ @enddesc
+ @calls
+ @calledby
+ @history
+
+ @endhistory
+
+@@*/
+
+ subroutine WaveToyF77_InitSymBound (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ integer ierr
+
+ call Cart3dSetTensorTypeVN (ierr, cctkGH, 'wavetoy::phi', 'SCALAR')
+
+ end
diff --git a/CarpetExtra/WaveToyF77/src/Startup.F77 b/CarpetExtra/WaveToyF77/src/Startup.F77
new file mode 100644
index 000000000..b4f6a038f
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/src/Startup.F77
@@ -0,0 +1,24 @@
+c -*-Fortran-*-
+
+ /*@@
+ @file Startup.F77
+ @date
+ @author Gabrielle Allen
+ @desc
+ Register banner
+ @enddesc
+ @version $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/src/Startup.F77,v 1.1 2001/03/01 13:40:11 eschnett Exp $
+ @@*/
+
+#include "cctk.h"
+
+ integer function WaveToyF77_Startup()
+
+ implicit none
+
+ integer ierr
+ call CCTK_RegisterBanner(ierr, "WaveToyF77: Evolutions of a Scalar Field")
+
+ WaveToyF77_Startup = 0
+
+ end
diff --git a/CarpetExtra/WaveToyF77/src/WaveToy.F77 b/CarpetExtra/WaveToyF77/src/WaveToy.F77
new file mode 100644
index 000000000..ed243b42c
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/src/WaveToy.F77
@@ -0,0 +1,191 @@
+c -*-Fortran-*-
+
+ /*@@
+ @file WaveToy.F77
+ @date
+ @author Tom Goodale, Erik Schnetter
+ @desc
+ Evolution routines for the wave equation solver
+ @enddesc
+ @@*/
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+
+
+ /*@@
+ @routine WaveToyF77_Evolution
+ @date
+ @author Tom Goodale, Erik Schnetter
+ @desc
+ Evolution for the wave equation
+ @enddesc
+ @calls CCTK_SyncGroup
+ @calledby
+ @history
+
+ @endhistory
+
+@@*/
+
+ subroutine WaveToyF77_Evolution (CCTK_ARGUMENTS)
+
+ implicit none
+
+c Declare variables in argument list
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ INTEGER i,j,k
+ INTEGER istart, jstart, kstart, iend, jend, kend
+ CCTK_REAL dx,dy,dz,dt
+ CCTK_REAL dx2,dy2,dz2,dt2
+ CCTK_REAL dx2i,dy2i,dz2i
+
+ CCTK_REAL factor
+
+c call CCTK_INFO ("WaveToyF77_Evolution")
+
+c Set up shorthands
+c -----------------
+ dx = CCTK_DELTA_SPACE(1)
+ dy = CCTK_DELTA_SPACE(2)
+ dz = CCTK_DELTA_SPACE(3)
+ dt = CCTK_DELTA_TIME
+
+ dx2 = dx**2
+ dy2 = dy**2
+ dz2 = dz**2
+ dt2 = dt**2
+
+ dx2i = 1/dx2
+ dy2i = 1/dy2
+ dz2i = 1/dz2
+
+ istart = 1+cctk_nghostzones(1)
+ jstart = 1+cctk_nghostzones(2)
+ kstart = 1+cctk_nghostzones(3)
+
+ iend = cctk_lsh(1)-cctk_nghostzones(1)
+ jend = cctk_lsh(2)-cctk_nghostzones(2)
+ kend = cctk_lsh(3)-cctk_nghostzones(3)
+
+ factor = 2 * (1 - dt2 * (dx2i + dy2i + dz2i))
+
+c Do the evolution
+c ----------------
+ do k = kstart, kend
+ do j = jstart, jend
+ do i = istart, iend
+
+ phi(i,j,k) = factor*phi_p(i,j,k) -
+ $ phi_p_p(i,j,k) + (dt2) *
+ $ ((phi_p(i+1,j,k)+phi_p(i-1,j,k))*dx2i
+ $ +(phi_p(i,j+1,k)+phi_p(i,j-1,k))*dy2i
+ $ +(phi_p(i,j,k+1)+phi_p(i,j,k-1))*dz2i)
+
+ end do
+ end do
+ end do
+
+ end
+
+
+
+ /*@@
+ @routine WaveToyF77_Boundaries
+ @date
+ @author Tom Goodale, Erik Schnetter
+ @desc
+ Boundary conditions for the wave equation
+ @enddesc
+ @history
+
+ @endhistory
+
+@@*/
+
+ subroutine WaveToyF77_Boundaries (CCTK_ARGUMENTS)
+
+ implicit none
+
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+c Local declarations
+ CCTK_REAL zero, one
+ parameter (zero=0, one=1)
+
+ CCTK_REAL finf
+ integer npow
+ parameter (finf = 1)
+ parameter (npow = 1)
+
+ integer i,j,k
+
+ integer ierr
+ integer sw(3)
+
+c call CCTK_INFO ("WaveToyF77_Boundaries")
+
+c Set the stencil width
+c ---------------------
+ sw(1) = cctk_nghostzones(1)
+ sw(2) = cctk_nghostzones(2)
+ sw(3) = cctk_nghostzones(3)
+
+c Apply the excision boundary condition
+c -------------------------------------
+ if (CCTK_EQUALS(excision_bound, "none")) then
+c do nothing
+ else if (CCTK_EQUALS(excision_bound, "1/r")) then
+ do k=1,cctk_lsh(3)
+ do j=1,cctk_lsh(2)
+ do i=1,cctk_lsh(1)
+ if (spher3d_r(i,j,k) .le. excision_radius) then
+ phi(i,j,k) = 1 / spher3d_r(i,j,k)
+ end if
+ end do
+ end do
+ end do
+ else
+ call CCTK_WARN (0, "internal error")
+ end if
+
+c Apply the outer boundary conditions
+c -----------------------------------
+ if (CCTK_EQUALS(bound, "flat")) then
+ call BndFlatVN (ierr, cctkGH, sw, "wavetoy::phi")
+ else if (CCTK_EQUALS(bound, "zero")) then
+ call BndScalarVN (ierr, cctkGH, sw, zero, "wavetoy::phi")
+ else if (CCTK_EQUALS(bound, "static")) then
+ call BndStaticVN (ierr, cctkGH, sw, 1, 0, "wavetoy::phi")
+ else if (CCTK_EQUALS(bound, "radiation")) then
+ call BndRadiativeVN (ierr, cctkGH, sw, zero, one,
+ $ "wavetoy::phi", "wavetoy::phi")
+ else if (CCTK_EQUALS(bound, "robin")) then
+ call BndRobinVN (ierr, cctkGH, sw, finf, npow, "wavetoy::phi")
+
+ else if (CCTK_EQUALS(bound, "none")) then
+ ierr = 0
+ else
+ call CCTK_WARN (0, "internal error")
+ end if
+ if (ierr .lt. 0) then
+ call CCTK_WARN (0, "Boundary conditions not applied - giving up!")
+ end if
+
+c Apply the symmetry boundary conditions on any coordinate axes
+c -------------------------------------------------------------
+ call Cart3dSymGN (ierr, cctkGH, "wavetoy::scalarevolve")
+
+ if (ierr .lt. 0) then
+ call CCTK_WARN (0, "Symmetry conditions not applied - giving up!")
+ end if
+
+ end
diff --git a/CarpetExtra/WaveToyF77/src/make.code.defn b/CarpetExtra/WaveToyF77/src/make.code.defn
new file mode 100644
index 000000000..0ede45501
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn WaveToyF77 -*-Makefile-*-
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/src/make.code.defn,v 1.1 2001/03/01 13:40:11 eschnett Exp $
+
+# Source files in this directory
+SRCS = InitSymBound.F77 WaveToy.F77 Startup.F77
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77.log b/CarpetExtra/WaveToyF77/test/wavetoyf77.log
new file mode 100644
index 000000000..a5e76c34c
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77.log
@@ -0,0 +1,105 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn Boundary...Success -> active implementation boundary
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Time...Success -> active implementation time
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn IDScalarWave...Success -> active implementation idscalarwave
+Activating thorn WaveToyF77...Success -> active implementation wavetoy
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+ WaveToyF77: Register banner
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+ IDScalarWave: Check parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Time: Set timestep based on Courant condition
+ WaveToyF77: Schedule symmetries
+ IDScalarWave: Initial data for 3D wave equation
+
+ do loop over timesteps
+ WaveToyF77: Evolution of 3D wave equation
+ WaveToyF77: Boundaries of 3D wave equation
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+WaveToyF77: Evolutions of a Scalar Field
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[19,19,19]:[1,1,1])
+interior=([1,1,1]:[18,18,18]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[0,19,19]:[1,1,1]),([1,0,0]:[18,0,19]:[1,1,1]),([19,0,0]:[19,19,19]:[1,1,1]),([1,1,0]:[18,18,0]:[1,1,1]),([1,19,0]:[18,19,19]:[1,1,1]),([1,1,19]:[18,18,19]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[0,19,19]:[1,1,1]),([1,0,0]:[18,0,19]:[1,1,1]),([19,0,0]:[19,19,19]:[1,1,1]),([1,1,0]:[18,18,0]:[1,1,1]),([1,19,0]:[18,19,19]:[1,1,1]),([1,1,19]:[18,18,19]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[19,19,19]:[1,1,1])
+interior=([1,1,1]:[18,18,18]:[1,1,1])
+boundaries={([0,0,0]:[0,19,19]:[1,1,1]),([1,0,0]:[18,0,19]:[1,1,1]),([19,0,0]:[19,19,19]:[1,1,1]),([1,1,0]:[18,18,0]:[1,1,1]),([1,19,0]:[18,19,19]:[1,1,1]),([1,1,19]:[18,18,19]:[1,1,1])}
+----------------
+ it | |
+ | t |
+----------------
+ 0 | 0.000|
+ 1 | 0.053|
+ 2 | 0.105|
+ 3 | 0.158|
+ 4 | 0.211|
+ 5 | 0.263|
+ 6 | 0.316|
+ 7 | 0.368|
+ 8 | 0.421|
+ 9 | 0.474|
+ 10 | 0.526|
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77.par b/CarpetExtra/WaveToyF77/test/wavetoyf77.par
new file mode 100644
index 000000000..bc76c0dea
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77.par
@@ -0,0 +1,40 @@
+# /*@@
+# @file wavetoyf77.par
+# @date 2001-03-11
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating minimal evolution
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/test/wavetoyf77.par,v 1.6 2004/03/23 12:00:37 schnetter Exp $
+
+!DESC "Octant evolution with no boundary condition"
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetLib CarpetSlab IDScalarWave WaveToyF77"
+
+Time::dtfac = 0.5
+
+Carpet::global_nx = 20
+Carpet::global_ny = 20
+Carpet::global_nz = 20
+
+grid::type = byrange
+grid::xyzmin = -1.0
+grid::xyzmax = +1.0
+
+grid::mode = none
+
+WaveToy::bound = zero
+
+IO::out_dir = "wavetoyf77"
+
+IOBasic::outInfo_every = 1
+#IOBasic::outInfo_vars = "wavetoy::phi"
+
+#IOBasic::outScalar_every = 1
+#IOBasic::outScalar_vars = "wavetoy::phi"
+#IOBasic::outScalar_style = gnuplot
+
+IOASCII::out1D_every = 1
+IOASCII::out1D_vars = "wavetoy::phi"
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.xl
new file mode 100644
index 000000000..e239ab8f7
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.xl
@@ -0,0 +1,288 @@
+# WAVETOY::phi x (phi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 10 10 2.13769355812841e-44
+0 0 0 0 0 1 10 10 9.81238207534605e-36
+0 0 0 0 0 2 10 10 4.91109129723921e-28
+0 0 0 0 0 3 10 10 2.68013160656255e-21
+0 0 0 0 0 4 10 10 1.59480940571288e-15
+0 0 0 0 0 5 10 10 1.03475137373628e-10
+0 0 0 0 0 6 10 10 7.32045019582289e-07
+0 0 0 0 0 7 10 10 0.000564695236523836
+0 0 0 0 0 8 10 10 0.0474968724749268
+0 0 0 0 0 9 10 10 0.435602594953338
+0 0 0 0 0 10 10 10 0.435602594953338
+0 0 0 0 0 11 10 10 0.047496872474927
+0 0 0 0 0 12 10 10 0.00056469523652384
+0 0 0 0 0 13 10 10 7.32045019582296e-07
+0 0 0 0 0 14 10 10 1.0347513737363e-10
+0 0 0 0 0 15 10 10 1.5948094057129e-15
+0 0 0 0 0 16 10 10 2.68013160656261e-21
+0 0 0 0 0 17 10 10 4.91109129723928e-28
+0 0 0 0 0 18 10 10 9.81238207534619e-36
+0 0 0 0 0 19 10 10 2.13769355812841e-44
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 10 10 0
+1 0 0 0 0 1 10 10 1.22682689034646e-28
+1 0 0 0 0 2 10 10 6.68463146460746e-22
+1 0 0 0 0 3 10 10 3.95859475931403e-16
+1 0 0 0 0 4 10 10 2.53070110965507e-11
+1 0 0 0 0 5 10 10 1.70914716385004e-07
+1 0 0 0 0 6 10 10 0.000112938462633636
+1 0 0 0 0 7 10 10 0.00485368397550732
+1 0 0 0 0 8 10 10 -0.0670042756634817
+1 0 0 0 0 9 10 10 -0.281918670454475
+1 0 0 0 0 10 10 10 -0.281918670454475
+1 0 0 0 0 11 10 10 -0.067004275663482
+1 0 0 0 0 12 10 10 0.00485368397550734
+1 0 0 0 0 13 10 10 0.000112938462633636
+1 0 0 0 0 14 10 10 1.70914716385006e-07
+1 0 0 0 0 15 10 10 2.5307011096551e-11
+1 0 0 0 0 16 10 10 3.95859475931408e-16
+1 0 0 0 0 17 10 10 6.6846314646076e-22
+1 0 0 0 0 18 10 10 1.22682689034648e-28
+1 0 0 0 0 19 10 10 0
+
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 10 10 0
+2 0 0 0 0 1 10 10 1.67115915985643e-22
+2 0 0 0 0 2 10 10 9.89655738758155e-17
+2 0 0 0 0 3 10 10 6.32717018479805e-12
+2 0 0 0 0 4 10 10 4.27553578129613e-08
+2 0 0 0 0 5 10 10 2.84145841284519e-05
+2 0 0 0 0 6 10 10 0.00133135677107058
+2 0 0 0 0 7 10 10 -0.0123105937045863
+2 0 0 0 0 8 10 10 -0.191827773445984
+2 0 0 0 0 9 10 10 -0.838254139769044
+2 0 0 0 0 10 10 10 -0.838254139769044
+2 0 0 0 0 11 10 10 -0.191827773445984
+2 0 0 0 0 12 10 10 -0.0123105937045864
+2 0 0 0 0 13 10 10 0.00133135677107059
+2 0 0 0 0 14 10 10 2.84145841284521e-05
+2 0 0 0 0 15 10 10 4.27553578129617e-08
+2 0 0 0 0 16 10 10 6.32717018479812e-12
+2 0 0 0 0 17 10 10 9.89655738758169e-17
+2 0 0 0 0 18 10 10 1.67115915985646e-22
+2 0 0 0 0 19 10 10 0
+
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 10 10 0
+3 0 0 0 0 1 10 10 2.47415696923374e-17
+3 0 0 0 0 2 10 10 1.58189689968305e-12
+3 0 0 0 0 3 10 10 1.06955096189697e-08
+3 0 0 0 0 4 10 10 7.14866962467265e-06
+3 0 0 0 0 5 10 10 0.000362543700949426
+3 0 0 0 0 6 10 10 -0.00180281581401197
+3 0 0 0 0 7 10 10 -0.0661355403874472
+3 0 0 0 0 8 10 10 -0.363219448163234
+3 0 0 0 0 9 10 10 -0.909769834341317
+3 0 0 0 0 10 10 10 -0.909769834341318
+3 0 0 0 0 11 10 10 -0.363219448163234
+3 0 0 0 0 12 10 10 -0.0661355403874474
+3 0 0 0 0 13 10 10 -0.00180281581401198
+3 0 0 0 0 14 10 10 0.000362543700949428
+3 0 0 0 0 15 10 10 7.14866962467269e-06
+3 0 0 0 0 16 10 10 1.06955096189698e-08
+3 0 0 0 0 17 10 10 1.58189689968307e-12
+3 0 0 0 0 18 10 10 2.47415696923378e-17
+3 0 0 0 0 19 10 10 0
+
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 10 10 0
+4 0 0 0 0 1 10 10 3.95500313485421e-13
+4 0 0 0 0 2 10 10 2.67554506710229e-09
+4 0 0 0 0 3 10 10 1.79843103280261e-06
+4 0 0 0 0 4 10 10 9.81141807427285e-05
+4 0 0 0 0 5 10 10 -9.77890293755282e-05
+4 0 0 0 0 6 10 10 -0.0197154488008626
+4 0 0 0 0 7 10 10 -0.154257957160012
+4 0 0 0 0 8 10 10 -0.477053040993001
+4 0 0 0 0 9 10 10 -0.571372739280028
+4 0 0 0 0 10 10 10 -0.571372739280028
+4 0 0 0 0 11 10 10 -0.477053040993001
+4 0 0 0 0 12 10 10 -0.154257957160012
+4 0 0 0 0 13 10 10 -0.0197154488008626
+4 0 0 0 0 14 10 10 -9.77890293755287e-05
+4 0 0 0 0 15 10 10 9.81141807427289e-05
+4 0 0 0 0 16 10 10 1.79843103280262e-06
+4 0 0 0 0 17 10 10 2.67554506710232e-09
+4 0 0 0 0 18 10 10 3.95500313485426e-13
+4 0 0 0 0 19 10 10 0
+
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 10 10 0
+5 0 0 0 0 1 10 10 6.693032110513e-10
+5 0 0 0 0 2 10 10 4.52425597130395e-07
+5 0 0 0 0 3 10 10 2.64111506026688e-05
+5 0 0 0 0 4 10 10 7.239670253815e-05
+5 0 0 0 0 5 10 10 -0.00534199985172874
+5 0 0 0 0 6 10 10 -0.0591799530595224
+5 0 0 0 0 7 10 10 -0.242393755395384
+5 0 0 0 0 8 10 10 -0.416512311171182
+5 0 0 0 0 9 10 10 -0.162235870503469
+5 0 0 0 0 10 10 10 -0.162235870503468
+5 0 0 0 0 11 10 10 -0.416512311171182
+5 0 0 0 0 12 10 10 -0.242393755395385
+5 0 0 0 0 13 10 10 -0.0591799530595225
+5 0 0 0 0 14 10 10 -0.00534199985172875
+5 0 0 0 0 15 10 10 7.23967025381503e-05
+5 0 0 0 0 16 10 10 2.64111506026689e-05
+5 0 0 0 0 17 10 10 4.52425597130398e-07
+5 0 0 0 0 18 10 10 6.69303211051306e-10
+5 0 0 0 0 19 10 10 0
+
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 10 10 0
+6 0 0 0 0 1 10 10 1.13811317397662e-07
+6 0 0 0 0 2 10 10 7.07670174667689e-06
+6 0 0 0 0 3 10 10 4.44798688829561e-05
+6 0 0 0 0 4 10 10 -0.00133276732717108
+6 0 0 0 0 5 10 10 -0.0207006388099142
+6 0 0 0 0 6 10 10 -0.113482596872543
+6 0 0 0 0 7 10 10 -0.274751275149732
+6 0 0 0 0 8 10 10 -0.217136795981632
+6 0 0 0 0 9 10 10 0.0561936677723053
+6 0 0 0 0 10 10 10 0.0561936677723056
+6 0 0 0 0 11 10 10 -0.217136795981632
+6 0 0 0 0 12 10 10 -0.274751275149732
+6 0 0 0 0 13 10 10 -0.113482596872543
+6 0 0 0 0 14 10 10 -0.0207006388099143
+6 0 0 0 0 15 10 10 -0.00133276732717108
+6 0 0 0 0 16 10 10 4.44798688829563e-05
+6 0 0 0 0 17 10 10 7.07670174667692e-06
+6 0 0 0 0 18 10 10 1.13811317397662e-07
+6 0 0 0 0 19 10 10 0
+
+
+
+# iteration 7
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 0 0 0 0 10 10 0
+7 0 0 0 0 1 10 10 1.88842835173522e-06
+7 0 0 0 0 2 10 10 1.82615433390579e-05
+7 0 0 0 0 3 10 10 -0.000303370910566002
+7 0 0 0 0 4 10 10 -0.0067173106912752
+7 0 0 0 0 5 10 10 -0.0483316756133807
+7 0 0 0 0 6 10 10 -0.160680197396579
+7 0 0 0 0 7 10 10 -0.225795013580303
+7 0 0 0 0 8 10 10 -0.0302663611493069
+7 0 0 0 0 9 10 10 0.0696253582326263
+7 0 0 0 0 10 10 10 0.0696253582326263
+7 0 0 0 0 11 10 10 -0.0302663611493066
+7 0 0 0 0 12 10 10 -0.225795013580303
+7 0 0 0 0 13 10 10 -0.160680197396579
+7 0 0 0 0 14 10 10 -0.0483316756133808
+7 0 0 0 0 15 10 10 -0.00671731069127522
+7 0 0 0 0 16 10 10 -0.000303370910566003
+7 0 0 0 0 17 10 10 1.8261543339058e-05
+7 0 0 0 0 18 10 10 1.88842835173522e-06
+7 0 0 0 0 19 10 10 0
+
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 10 10 0
+8 0 0 0 0 1 10 10 6.48117414563856e-06
+8 0 0 0 0 2 10 10 -6.04396714485246e-05
+8 0 0 0 0 3 10 10 -0.00204743656355179
+8 0 0 0 0 4 10 10 -0.0189160596760373
+8 0 0 0 0 5 10 10 -0.08332429364187
+8 0 0 0 0 6 10 10 -0.177263752132348
+8 0 0 0 0 7 10 10 -0.129192651620611
+8 0 0 0 0 8 10 10 0.0443520012015004
+8 0 0 0 0 9 10 10 0.00813825915649741
+8 0 0 0 0 10 10 10 0.00813825915649736
+8 0 0 0 0 11 10 10 0.0443520012015006
+8 0 0 0 0 12 10 10 -0.12919265162061
+8 0 0 0 0 13 10 10 -0.177263752132348
+8 0 0 0 0 14 10 10 -0.0833242936418701
+8 0 0 0 0 15 10 10 -0.0189160596760373
+8 0 0 0 0 16 10 10 -0.0020474365635518
+8 0 0 0 0 17 10 10 -6.04396714485248e-05
+8 0 0 0 0 18 10 10 6.48117414563859e-06
+8 0 0 0 0 19 10 10 0
+
+
+
+# iteration 9
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 0 0 0 0 10 10 0
+9 0 0 0 0 1 10 10 -9.23817882069273e-06
+9 0 0 0 0 2 10 10 -0.000590230726689046
+9 0 0 0 0 3 10 10 -0.0068967819068776
+9 0 0 0 0 4 10 10 -0.0389052231484413
+9 0 0 0 0 5 10 10 -0.114612889871635
+9 0 0 0 0 6 10 10 -0.15580435440971
+9 0 0 0 0 7 10 10 -0.0417427533393864
+9 0 0 0 0 8 10 10 0.0295094995247097
+9 0 0 0 0 9 10 10 -0.0261885333858792
+9 0 0 0 0 10 10 10 -0.0261885333858792
+9 0 0 0 0 11 10 10 0.0295094995247098
+9 0 0 0 0 12 10 10 -0.0417427533393862
+9 0 0 0 0 13 10 10 -0.15580435440971
+9 0 0 0 0 14 10 10 -0.114612889871635
+9 0 0 0 0 15 10 10 -0.0389052231484414
+9 0 0 0 0 16 10 10 -0.00689678190687761
+9 0 0 0 0 17 10 10 -0.000590230726689047
+9 0 0 0 0 18 10 10 -9.23817882069273e-06
+9 0 0 0 0 19 10 10 0
+
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 10 10 0
+10 0 0 0 0 1 10 10 -0.000161871977848914
+10 0 0 0 0 2 10 10 -0.00236947911491751
+10 0 0 0 0 3 10 10 -0.0166505589685362
+10 0 0 0 0 4 10 10 -0.064163184805119
+10 0 0 0 0 5 10 10 -0.130411533364738
+10 0 0 0 0 6 10 10 -0.10750594086851
+10 0 0 0 0 7 10 10 0.0072111680655955
+10 0 0 0 0 8 10 10 -0.0022163213506164
+10 0 0 0 0 9 10 10 -0.018741801245314
+10 0 0 0 0 10 10 10 -0.018741801245314
+10 0 0 0 0 11 10 10 -0.00221632135061644
+10 0 0 0 0 12 10 10 0.00721116806559556
+10 0 0 0 0 13 10 10 -0.10750594086851
+10 0 0 0 0 14 10 10 -0.130411533364738
+10 0 0 0 0 15 10 10 -0.0641631848051191
+10 0 0 0 0 16 10 10 -0.0166505589685362
+10 0 0 0 0 17 10 10 -0.00236947911491752
+10 0 0 0 0 18 10 10 -0.000161871977848915
+10 0 0 0 0 19 10 10 0
+
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.yl
new file mode 100644
index 000000000..06c729092
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.yl
@@ -0,0 +1,288 @@
+# WAVETOY::phi y (phi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 10 0 10 2.13769355812841e-44
+0 0 0 0 0 10 1 10 9.81238207534605e-36
+0 0 0 0 0 10 2 10 4.91109129723921e-28
+0 0 0 0 0 10 3 10 2.68013160656255e-21
+0 0 0 0 0 10 4 10 1.59480940571288e-15
+0 0 0 0 0 10 5 10 1.03475137373628e-10
+0 0 0 0 0 10 6 10 7.32045019582289e-07
+0 0 0 0 0 10 7 10 0.000564695236523836
+0 0 0 0 0 10 8 10 0.0474968724749268
+0 0 0 0 0 10 9 10 0.435602594953338
+0 0 0 0 0 10 10 10 0.435602594953338
+0 0 0 0 0 10 11 10 0.047496872474927
+0 0 0 0 0 10 12 10 0.00056469523652384
+0 0 0 0 0 10 13 10 7.32045019582296e-07
+0 0 0 0 0 10 14 10 1.0347513737363e-10
+0 0 0 0 0 10 15 10 1.5948094057129e-15
+0 0 0 0 0 10 16 10 2.68013160656261e-21
+0 0 0 0 0 10 17 10 4.91109129723928e-28
+0 0 0 0 0 10 18 10 9.81238207534619e-36
+0 0 0 0 0 10 19 10 2.13769355812841e-44
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 10 0 10 0
+1 0 0 0 0 10 1 10 1.22682689034646e-28
+1 0 0 0 0 10 2 10 6.68463146460746e-22
+1 0 0 0 0 10 3 10 3.95859475931402e-16
+1 0 0 0 0 10 4 10 2.53070110965507e-11
+1 0 0 0 0 10 5 10 1.70914716385004e-07
+1 0 0 0 0 10 6 10 0.000112938462633636
+1 0 0 0 0 10 7 10 0.00485368397550732
+1 0 0 0 0 10 8 10 -0.0670042756634817
+1 0 0 0 0 10 9 10 -0.281918670454475
+1 0 0 0 0 10 10 10 -0.281918670454475
+1 0 0 0 0 10 11 10 -0.067004275663482
+1 0 0 0 0 10 12 10 0.00485368397550734
+1 0 0 0 0 10 13 10 0.000112938462633636
+1 0 0 0 0 10 14 10 1.70914716385006e-07
+1 0 0 0 0 10 15 10 2.5307011096551e-11
+1 0 0 0 0 10 16 10 3.95859475931408e-16
+1 0 0 0 0 10 17 10 6.68463146460761e-22
+1 0 0 0 0 10 18 10 1.22682689034648e-28
+1 0 0 0 0 10 19 10 0
+
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 10 0 10 0
+2 0 0 0 0 10 1 10 1.67115915985643e-22
+2 0 0 0 0 10 2 10 9.89655738758154e-17
+2 0 0 0 0 10 3 10 6.32717018479805e-12
+2 0 0 0 0 10 4 10 4.27553578129613e-08
+2 0 0 0 0 10 5 10 2.84145841284519e-05
+2 0 0 0 0 10 6 10 0.00133135677107058
+2 0 0 0 0 10 7 10 -0.0123105937045863
+2 0 0 0 0 10 8 10 -0.191827773445984
+2 0 0 0 0 10 9 10 -0.838254139769044
+2 0 0 0 0 10 10 10 -0.838254139769044
+2 0 0 0 0 10 11 10 -0.191827773445984
+2 0 0 0 0 10 12 10 -0.0123105937045864
+2 0 0 0 0 10 13 10 0.00133135677107059
+2 0 0 0 0 10 14 10 2.84145841284521e-05
+2 0 0 0 0 10 15 10 4.27553578129617e-08
+2 0 0 0 0 10 16 10 6.32717018479812e-12
+2 0 0 0 0 10 17 10 9.89655738758169e-17
+2 0 0 0 0 10 18 10 1.67115915985646e-22
+2 0 0 0 0 10 19 10 0
+
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 10 0 10 0
+3 0 0 0 0 10 1 10 2.47415696923374e-17
+3 0 0 0 0 10 2 10 1.58189689968305e-12
+3 0 0 0 0 10 3 10 1.06955096189697e-08
+3 0 0 0 0 10 4 10 7.14866962467265e-06
+3 0 0 0 0 10 5 10 0.000362543700949426
+3 0 0 0 0 10 6 10 -0.00180281581401197
+3 0 0 0 0 10 7 10 -0.0661355403874472
+3 0 0 0 0 10 8 10 -0.363219448163234
+3 0 0 0 0 10 9 10 -0.909769834341317
+3 0 0 0 0 10 10 10 -0.909769834341318
+3 0 0 0 0 10 11 10 -0.363219448163234
+3 0 0 0 0 10 12 10 -0.0661355403874474
+3 0 0 0 0 10 13 10 -0.00180281581401198
+3 0 0 0 0 10 14 10 0.000362543700949427
+3 0 0 0 0 10 15 10 7.14866962467269e-06
+3 0 0 0 0 10 16 10 1.06955096189698e-08
+3 0 0 0 0 10 17 10 1.58189689968307e-12
+3 0 0 0 0 10 18 10 2.47415696923378e-17
+3 0 0 0 0 10 19 10 0
+
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 10 0 10 0
+4 0 0 0 0 10 1 10 3.95500313485421e-13
+4 0 0 0 0 10 2 10 2.67554506710229e-09
+4 0 0 0 0 10 3 10 1.79843103280261e-06
+4 0 0 0 0 10 4 10 9.81141807427286e-05
+4 0 0 0 0 10 5 10 -9.77890293755283e-05
+4 0 0 0 0 10 6 10 -0.0197154488008626
+4 0 0 0 0 10 7 10 -0.154257957160012
+4 0 0 0 0 10 8 10 -0.477053040993001
+4 0 0 0 0 10 9 10 -0.571372739280028
+4 0 0 0 0 10 10 10 -0.571372739280028
+4 0 0 0 0 10 11 10 -0.477053040993001
+4 0 0 0 0 10 12 10 -0.154257957160012
+4 0 0 0 0 10 13 10 -0.0197154488008626
+4 0 0 0 0 10 14 10 -9.77890293755288e-05
+4 0 0 0 0 10 15 10 9.81141807427289e-05
+4 0 0 0 0 10 16 10 1.79843103280262e-06
+4 0 0 0 0 10 17 10 2.67554506710232e-09
+4 0 0 0 0 10 18 10 3.95500313485425e-13
+4 0 0 0 0 10 19 10 0
+
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 10 0 10 0
+5 0 0 0 0 10 1 10 6.693032110513e-10
+5 0 0 0 0 10 2 10 4.52425597130395e-07
+5 0 0 0 0 10 3 10 2.64111506026688e-05
+5 0 0 0 0 10 4 10 7.239670253815e-05
+5 0 0 0 0 10 5 10 -0.00534199985172874
+5 0 0 0 0 10 6 10 -0.0591799530595224
+5 0 0 0 0 10 7 10 -0.242393755395384
+5 0 0 0 0 10 8 10 -0.416512311171182
+5 0 0 0 0 10 9 10 -0.162235870503469
+5 0 0 0 0 10 10 10 -0.162235870503468
+5 0 0 0 0 10 11 10 -0.416512311171182
+5 0 0 0 0 10 12 10 -0.242393755395385
+5 0 0 0 0 10 13 10 -0.0591799530595225
+5 0 0 0 0 10 14 10 -0.00534199985172875
+5 0 0 0 0 10 15 10 7.23967025381502e-05
+5 0 0 0 0 10 16 10 2.64111506026689e-05
+5 0 0 0 0 10 17 10 4.52425597130398e-07
+5 0 0 0 0 10 18 10 6.69303211051306e-10
+5 0 0 0 0 10 19 10 0
+
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 10 0 10 0
+6 0 0 0 0 10 1 10 1.13811317397662e-07
+6 0 0 0 0 10 2 10 7.07670174667689e-06
+6 0 0 0 0 10 3 10 4.44798688829561e-05
+6 0 0 0 0 10 4 10 -0.00133276732717108
+6 0 0 0 0 10 5 10 -0.0207006388099142
+6 0 0 0 0 10 6 10 -0.113482596872543
+6 0 0 0 0 10 7 10 -0.274751275149732
+6 0 0 0 0 10 8 10 -0.217136795981632
+6 0 0 0 0 10 9 10 0.0561936677723053
+6 0 0 0 0 10 10 10 0.0561936677723056
+6 0 0 0 0 10 11 10 -0.217136795981632
+6 0 0 0 0 10 12 10 -0.274751275149732
+6 0 0 0 0 10 13 10 -0.113482596872543
+6 0 0 0 0 10 14 10 -0.0207006388099143
+6 0 0 0 0 10 15 10 -0.00133276732717108
+6 0 0 0 0 10 16 10 4.44798688829562e-05
+6 0 0 0 0 10 17 10 7.07670174667692e-06
+6 0 0 0 0 10 18 10 1.13811317397662e-07
+6 0 0 0 0 10 19 10 0
+
+
+
+# iteration 7
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 0 0 0 10 0 10 0
+7 0 0 0 0 10 1 10 1.88842835173522e-06
+7 0 0 0 0 10 2 10 1.8261543339058e-05
+7 0 0 0 0 10 3 10 -0.000303370910566002
+7 0 0 0 0 10 4 10 -0.0067173106912752
+7 0 0 0 0 10 5 10 -0.0483316756133807
+7 0 0 0 0 10 6 10 -0.160680197396579
+7 0 0 0 0 10 7 10 -0.225795013580303
+7 0 0 0 0 10 8 10 -0.0302663611493069
+7 0 0 0 0 10 9 10 0.0696253582326263
+7 0 0 0 0 10 10 10 0.0696253582326263
+7 0 0 0 0 10 11 10 -0.0302663611493066
+7 0 0 0 0 10 12 10 -0.225795013580303
+7 0 0 0 0 10 13 10 -0.160680197396579
+7 0 0 0 0 10 14 10 -0.0483316756133808
+7 0 0 0 0 10 15 10 -0.00671731069127522
+7 0 0 0 0 10 16 10 -0.000303370910566003
+7 0 0 0 0 10 17 10 1.8261543339058e-05
+7 0 0 0 0 10 18 10 1.88842835173522e-06
+7 0 0 0 0 10 19 10 0
+
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 10 0 10 0
+8 0 0 0 0 10 1 10 6.48117414563857e-06
+8 0 0 0 0 10 2 10 -6.04396714485247e-05
+8 0 0 0 0 10 3 10 -0.00204743656355179
+8 0 0 0 0 10 4 10 -0.0189160596760373
+8 0 0 0 0 10 5 10 -0.08332429364187
+8 0 0 0 0 10 6 10 -0.177263752132348
+8 0 0 0 0 10 7 10 -0.129192651620611
+8 0 0 0 0 10 8 10 0.0443520012015004
+8 0 0 0 0 10 9 10 0.0081382591564974
+8 0 0 0 0 10 10 10 0.00813825915649736
+8 0 0 0 0 10 11 10 0.0443520012015005
+8 0 0 0 0 10 12 10 -0.12919265162061
+8 0 0 0 0 10 13 10 -0.177263752132348
+8 0 0 0 0 10 14 10 -0.0833242936418701
+8 0 0 0 0 10 15 10 -0.0189160596760373
+8 0 0 0 0 10 16 10 -0.0020474365635518
+8 0 0 0 0 10 17 10 -6.04396714485248e-05
+8 0 0 0 0 10 18 10 6.48117414563859e-06
+8 0 0 0 0 10 19 10 0
+
+
+
+# iteration 9
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 0 0 0 10 0 10 0
+9 0 0 0 0 10 1 10 -9.23817882069273e-06
+9 0 0 0 0 10 2 10 -0.000590230726689046
+9 0 0 0 0 10 3 10 -0.00689678190687759
+9 0 0 0 0 10 4 10 -0.0389052231484413
+9 0 0 0 0 10 5 10 -0.114612889871635
+9 0 0 0 0 10 6 10 -0.15580435440971
+9 0 0 0 0 10 7 10 -0.0417427533393863
+9 0 0 0 0 10 8 10 0.0295094995247097
+9 0 0 0 0 10 9 10 -0.0261885333858791
+9 0 0 0 0 10 10 10 -0.0261885333858792
+9 0 0 0 0 10 11 10 0.0295094995247097
+9 0 0 0 0 10 12 10 -0.0417427533393862
+9 0 0 0 0 10 13 10 -0.15580435440971
+9 0 0 0 0 10 14 10 -0.114612889871635
+9 0 0 0 0 10 15 10 -0.0389052231484414
+9 0 0 0 0 10 16 10 -0.00689678190687761
+9 0 0 0 0 10 17 10 -0.000590230726689047
+9 0 0 0 0 10 18 10 -9.23817882069273e-06
+9 0 0 0 0 10 19 10 0
+
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 10 0 10 0
+10 0 0 0 0 10 1 10 -0.000161871977848914
+10 0 0 0 0 10 2 10 -0.00236947911491751
+10 0 0 0 0 10 3 10 -0.0166505589685362
+10 0 0 0 0 10 4 10 -0.064163184805119
+10 0 0 0 0 10 5 10 -0.130411533364738
+10 0 0 0 0 10 6 10 -0.10750594086851
+10 0 0 0 0 10 7 10 0.00721116806559549
+10 0 0 0 0 10 8 10 -0.00221632135061639
+10 0 0 0 0 10 9 10 -0.0187418012453139
+10 0 0 0 0 10 10 10 -0.018741801245314
+10 0 0 0 0 10 11 10 -0.00221632135061639
+10 0 0 0 0 10 12 10 0.00721116806559558
+10 0 0 0 0 10 13 10 -0.10750594086851
+10 0 0 0 0 10 14 10 -0.130411533364738
+10 0 0 0 0 10 15 10 -0.0641631848051191
+10 0 0 0 0 10 16 10 -0.0166505589685362
+10 0 0 0 0 10 17 10 -0.00236947911491752
+10 0 0 0 0 10 18 10 -0.000161871977848915
+10 0 0 0 0 10 19 10 0
+
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.zl
new file mode 100644
index 000000000..46a0cf70d
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77/phi.zl
@@ -0,0 +1,288 @@
+# WAVETOY::phi z (phi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 10 10 0 2.13769355812841e-44
+0 0 0 0 0 10 10 1 9.81238207534605e-36
+0 0 0 0 0 10 10 2 4.91109129723921e-28
+0 0 0 0 0 10 10 3 2.68013160656255e-21
+0 0 0 0 0 10 10 4 1.59480940571288e-15
+0 0 0 0 0 10 10 5 1.03475137373628e-10
+0 0 0 0 0 10 10 6 7.32045019582289e-07
+0 0 0 0 0 10 10 7 0.000564695236523836
+0 0 0 0 0 10 10 8 0.0474968724749268
+0 0 0 0 0 10 10 9 0.435602594953338
+0 0 0 0 0 10 10 10 0.435602594953338
+0 0 0 0 0 10 10 11 0.047496872474927
+0 0 0 0 0 10 10 12 0.00056469523652384
+0 0 0 0 0 10 10 13 7.32045019582296e-07
+0 0 0 0 0 10 10 14 1.0347513737363e-10
+0 0 0 0 0 10 10 15 1.5948094057129e-15
+0 0 0 0 0 10 10 16 2.68013160656261e-21
+0 0 0 0 0 10 10 17 4.91109129723928e-28
+0 0 0 0 0 10 10 18 9.81238207534619e-36
+0 0 0 0 0 10 10 19 2.13769355812841e-44
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 10 10 0 0
+1 0 0 0 0 10 10 1 1.22682689034646e-28
+1 0 0 0 0 10 10 2 6.68463146460746e-22
+1 0 0 0 0 10 10 3 3.95859475931402e-16
+1 0 0 0 0 10 10 4 2.53070110965507e-11
+1 0 0 0 0 10 10 5 1.70914716385004e-07
+1 0 0 0 0 10 10 6 0.000112938462633636
+1 0 0 0 0 10 10 7 0.00485368397550732
+1 0 0 0 0 10 10 8 -0.0670042756634817
+1 0 0 0 0 10 10 9 -0.281918670454475
+1 0 0 0 0 10 10 10 -0.281918670454475
+1 0 0 0 0 10 10 11 -0.067004275663482
+1 0 0 0 0 10 10 12 0.00485368397550734
+1 0 0 0 0 10 10 13 0.000112938462633636
+1 0 0 0 0 10 10 14 1.70914716385006e-07
+1 0 0 0 0 10 10 15 2.5307011096551e-11
+1 0 0 0 0 10 10 16 3.95859475931408e-16
+1 0 0 0 0 10 10 17 6.68463146460761e-22
+1 0 0 0 0 10 10 18 1.22682689034648e-28
+1 0 0 0 0 10 10 19 0
+
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 10 10 0 0
+2 0 0 0 0 10 10 1 1.67115915985643e-22
+2 0 0 0 0 10 10 2 9.89655738758154e-17
+2 0 0 0 0 10 10 3 6.32717018479805e-12
+2 0 0 0 0 10 10 4 4.27553578129613e-08
+2 0 0 0 0 10 10 5 2.84145841284519e-05
+2 0 0 0 0 10 10 6 0.00133135677107058
+2 0 0 0 0 10 10 7 -0.0123105937045863
+2 0 0 0 0 10 10 8 -0.191827773445984
+2 0 0 0 0 10 10 9 -0.838254139769044
+2 0 0 0 0 10 10 10 -0.838254139769044
+2 0 0 0 0 10 10 11 -0.191827773445984
+2 0 0 0 0 10 10 12 -0.0123105937045864
+2 0 0 0 0 10 10 13 0.00133135677107059
+2 0 0 0 0 10 10 14 2.84145841284521e-05
+2 0 0 0 0 10 10 15 4.27553578129617e-08
+2 0 0 0 0 10 10 16 6.32717018479812e-12
+2 0 0 0 0 10 10 17 9.89655738758169e-17
+2 0 0 0 0 10 10 18 1.67115915985646e-22
+2 0 0 0 0 10 10 19 0
+
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 10 10 0 0
+3 0 0 0 0 10 10 1 2.47415696923374e-17
+3 0 0 0 0 10 10 2 1.58189689968305e-12
+3 0 0 0 0 10 10 3 1.06955096189697e-08
+3 0 0 0 0 10 10 4 7.14866962467265e-06
+3 0 0 0 0 10 10 5 0.000362543700949426
+3 0 0 0 0 10 10 6 -0.00180281581401197
+3 0 0 0 0 10 10 7 -0.0661355403874472
+3 0 0 0 0 10 10 8 -0.363219448163234
+3 0 0 0 0 10 10 9 -0.909769834341317
+3 0 0 0 0 10 10 10 -0.909769834341318
+3 0 0 0 0 10 10 11 -0.363219448163234
+3 0 0 0 0 10 10 12 -0.0661355403874474
+3 0 0 0 0 10 10 13 -0.00180281581401198
+3 0 0 0 0 10 10 14 0.000362543700949427
+3 0 0 0 0 10 10 15 7.14866962467269e-06
+3 0 0 0 0 10 10 16 1.06955096189698e-08
+3 0 0 0 0 10 10 17 1.58189689968307e-12
+3 0 0 0 0 10 10 18 2.47415696923378e-17
+3 0 0 0 0 10 10 19 0
+
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 10 10 0 0
+4 0 0 0 0 10 10 1 3.95500313485421e-13
+4 0 0 0 0 10 10 2 2.67554506710229e-09
+4 0 0 0 0 10 10 3 1.79843103280261e-06
+4 0 0 0 0 10 10 4 9.81141807427286e-05
+4 0 0 0 0 10 10 5 -9.77890293755283e-05
+4 0 0 0 0 10 10 6 -0.0197154488008626
+4 0 0 0 0 10 10 7 -0.154257957160012
+4 0 0 0 0 10 10 8 -0.477053040993001
+4 0 0 0 0 10 10 9 -0.571372739280028
+4 0 0 0 0 10 10 10 -0.571372739280028
+4 0 0 0 0 10 10 11 -0.477053040993001
+4 0 0 0 0 10 10 12 -0.154257957160012
+4 0 0 0 0 10 10 13 -0.0197154488008626
+4 0 0 0 0 10 10 14 -9.77890293755288e-05
+4 0 0 0 0 10 10 15 9.81141807427289e-05
+4 0 0 0 0 10 10 16 1.79843103280262e-06
+4 0 0 0 0 10 10 17 2.67554506710232e-09
+4 0 0 0 0 10 10 18 3.95500313485425e-13
+4 0 0 0 0 10 10 19 0
+
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 10 10 0 0
+5 0 0 0 0 10 10 1 6.693032110513e-10
+5 0 0 0 0 10 10 2 4.52425597130395e-07
+5 0 0 0 0 10 10 3 2.64111506026688e-05
+5 0 0 0 0 10 10 4 7.239670253815e-05
+5 0 0 0 0 10 10 5 -0.00534199985172874
+5 0 0 0 0 10 10 6 -0.0591799530595224
+5 0 0 0 0 10 10 7 -0.242393755395384
+5 0 0 0 0 10 10 8 -0.416512311171182
+5 0 0 0 0 10 10 9 -0.162235870503469
+5 0 0 0 0 10 10 10 -0.162235870503468
+5 0 0 0 0 10 10 11 -0.416512311171182
+5 0 0 0 0 10 10 12 -0.242393755395385
+5 0 0 0 0 10 10 13 -0.0591799530595225
+5 0 0 0 0 10 10 14 -0.00534199985172875
+5 0 0 0 0 10 10 15 7.23967025381502e-05
+5 0 0 0 0 10 10 16 2.64111506026689e-05
+5 0 0 0 0 10 10 17 4.52425597130398e-07
+5 0 0 0 0 10 10 18 6.69303211051306e-10
+5 0 0 0 0 10 10 19 0
+
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 10 10 0 0
+6 0 0 0 0 10 10 1 1.13811317397662e-07
+6 0 0 0 0 10 10 2 7.07670174667689e-06
+6 0 0 0 0 10 10 3 4.44798688829561e-05
+6 0 0 0 0 10 10 4 -0.00133276732717108
+6 0 0 0 0 10 10 5 -0.0207006388099142
+6 0 0 0 0 10 10 6 -0.113482596872543
+6 0 0 0 0 10 10 7 -0.274751275149732
+6 0 0 0 0 10 10 8 -0.217136795981632
+6 0 0 0 0 10 10 9 0.0561936677723053
+6 0 0 0 0 10 10 10 0.0561936677723056
+6 0 0 0 0 10 10 11 -0.217136795981632
+6 0 0 0 0 10 10 12 -0.274751275149732
+6 0 0 0 0 10 10 13 -0.113482596872543
+6 0 0 0 0 10 10 14 -0.0207006388099143
+6 0 0 0 0 10 10 15 -0.00133276732717108
+6 0 0 0 0 10 10 16 4.44798688829562e-05
+6 0 0 0 0 10 10 17 7.07670174667692e-06
+6 0 0 0 0 10 10 18 1.13811317397662e-07
+6 0 0 0 0 10 10 19 0
+
+
+
+# iteration 7
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 0 0 0 10 10 0 0
+7 0 0 0 0 10 10 1 1.88842835173522e-06
+7 0 0 0 0 10 10 2 1.8261543339058e-05
+7 0 0 0 0 10 10 3 -0.000303370910566002
+7 0 0 0 0 10 10 4 -0.0067173106912752
+7 0 0 0 0 10 10 5 -0.0483316756133807
+7 0 0 0 0 10 10 6 -0.160680197396579
+7 0 0 0 0 10 10 7 -0.225795013580303
+7 0 0 0 0 10 10 8 -0.0302663611493069
+7 0 0 0 0 10 10 9 0.0696253582326263
+7 0 0 0 0 10 10 10 0.0696253582326263
+7 0 0 0 0 10 10 11 -0.0302663611493066
+7 0 0 0 0 10 10 12 -0.225795013580303
+7 0 0 0 0 10 10 13 -0.160680197396579
+7 0 0 0 0 10 10 14 -0.0483316756133808
+7 0 0 0 0 10 10 15 -0.00671731069127522
+7 0 0 0 0 10 10 16 -0.000303370910566003
+7 0 0 0 0 10 10 17 1.8261543339058e-05
+7 0 0 0 0 10 10 18 1.88842835173522e-06
+7 0 0 0 0 10 10 19 0
+
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 10 10 0 0
+8 0 0 0 0 10 10 1 6.48117414563857e-06
+8 0 0 0 0 10 10 2 -6.04396714485247e-05
+8 0 0 0 0 10 10 3 -0.00204743656355179
+8 0 0 0 0 10 10 4 -0.0189160596760373
+8 0 0 0 0 10 10 5 -0.08332429364187
+8 0 0 0 0 10 10 6 -0.177263752132348
+8 0 0 0 0 10 10 7 -0.129192651620611
+8 0 0 0 0 10 10 8 0.0443520012015004
+8 0 0 0 0 10 10 9 0.0081382591564974
+8 0 0 0 0 10 10 10 0.00813825915649736
+8 0 0 0 0 10 10 11 0.0443520012015005
+8 0 0 0 0 10 10 12 -0.12919265162061
+8 0 0 0 0 10 10 13 -0.177263752132348
+8 0 0 0 0 10 10 14 -0.0833242936418701
+8 0 0 0 0 10 10 15 -0.0189160596760373
+8 0 0 0 0 10 10 16 -0.0020474365635518
+8 0 0 0 0 10 10 17 -6.04396714485248e-05
+8 0 0 0 0 10 10 18 6.48117414563859e-06
+8 0 0 0 0 10 10 19 0
+
+
+
+# iteration 9
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 0 0 0 10 10 0 0
+9 0 0 0 0 10 10 1 -9.23817882069273e-06
+9 0 0 0 0 10 10 2 -0.000590230726689046
+9 0 0 0 0 10 10 3 -0.00689678190687759
+9 0 0 0 0 10 10 4 -0.0389052231484413
+9 0 0 0 0 10 10 5 -0.114612889871635
+9 0 0 0 0 10 10 6 -0.15580435440971
+9 0 0 0 0 10 10 7 -0.0417427533393863
+9 0 0 0 0 10 10 8 0.0295094995247097
+9 0 0 0 0 10 10 9 -0.0261885333858791
+9 0 0 0 0 10 10 10 -0.0261885333858792
+9 0 0 0 0 10 10 11 0.0295094995247097
+9 0 0 0 0 10 10 12 -0.0417427533393862
+9 0 0 0 0 10 10 13 -0.15580435440971
+9 0 0 0 0 10 10 14 -0.114612889871635
+9 0 0 0 0 10 10 15 -0.0389052231484414
+9 0 0 0 0 10 10 16 -0.00689678190687761
+9 0 0 0 0 10 10 17 -0.000590230726689047
+9 0 0 0 0 10 10 18 -9.23817882069273e-06
+9 0 0 0 0 10 10 19 0
+
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 10 10 0 0
+10 0 0 0 0 10 10 1 -0.000161871977848914
+10 0 0 0 0 10 10 2 -0.00236947911491751
+10 0 0 0 0 10 10 3 -0.0166505589685362
+10 0 0 0 0 10 10 4 -0.064163184805119
+10 0 0 0 0 10 10 5 -0.130411533364738
+10 0 0 0 0 10 10 6 -0.10750594086851
+10 0 0 0 0 10 10 7 0.00721116806559549
+10 0 0 0 0 10 10 8 -0.00221632135061639
+10 0 0 0 0 10 10 9 -0.0187418012453139
+10 0 0 0 0 10 10 10 -0.018741801245314
+10 0 0 0 0 10 10 11 -0.00221632135061639
+10 0 0 0 0 10 10 12 0.00721116806559558
+10 0 0 0 0 10 10 13 -0.10750594086851
+10 0 0 0 0 10 10 14 -0.130411533364738
+10 0 0 0 0 10 10 15 -0.0641631848051191
+10 0 0 0 0 10 10 16 -0.0166505589685362
+10 0 0 0 0 10 10 17 -0.00236947911491752
+10 0 0 0 0 10 10 18 -0.000161871977848915
+10 0 0 0 0 10 10 19 0
+
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse.log b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse.log
new file mode 100644
index 000000000..057508c95
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse.log
@@ -0,0 +1,120 @@
+--------------------------------------------------------------------------------
+
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+
+Cactus version: 4.0.b11
+Compile date: Nov 30 2001 (15:23:02)
+Run date: Dec 3 2001 (11:04:38)
+Run host: lilypond.tat.physik.uni-tuebingen.de
+Parameter file: /home/eschnett/Calpha/Cactus/arrangements/Carpet/WaveToyF77/test/wavetoyf77_periodic_coarse.par
+--------------------------------------------------------------------------------
+
+Activating thorn Cactus...Success -> active implementation Cactus
+Activation requested for
+--->Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetSlab IDScalarWave WaveToyF77<---
+Activating thorn Boundary...Success -> active implementation boundary
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn IDScalarWave...Success -> active implementation idscalarwave
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Time...Success -> active implementation time
+Activating thorn WaveToyF77...Success -> active implementation wavetoy
+--------------------------------------------------------------------------------
+ if (recover)
+ Recover parameters
+ endif
+
+ Startup routines
+ Carpet: Startup routine
+ IOUtil: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOBasic: Startup routine
+ CarpetIOASCII: Startup routine
+ WaveToyF77: Register banner
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+ IDScalarWave: Check parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Time: Initialise Time variables
+ Time: Set timestep based on Courant condition
+ WaveToyF77: Schedule symmetries
+ IDScalarWave: Initial data for 3D wave equation
+ WaveToyF77: Boundaries of 3D wave equation
+ if (recover)
+ endif
+ if (checkpoint initial data)
+ endif
+ if (analysis)
+ endif
+
+ do loop over timesteps
+ Rotate timelevels
+ iteration = iteration + 1
+ t = t+dt
+ WaveToyF77: Evolution of 3D wave equation
+ WaveToyF77: Boundaries of 3D wave equation
+ if (checkpoint)
+ endif
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+WaveToyF77: Evolutions of a Scalar Field
+--------------------------------------------------------------------------------
+
+INFO (Carpet): Carpet is running on 1 processors
+INFO (IOBasic): I/O Method 'Scalar' registered
+INFO (IOBasic): Scalar: Output of scalar quantities (grid scalars, reductions) to ASCII files
+INFO (IOBasic): I/O Method 'Info' registered
+INFO (IOBasic): Info: Output of scalar quantities (grid scalars, reductions) to screen
+INFO (Cart3d): Cartesian coordinates:
+INFO (Cart3d): Whole grid: lower bound [-5.4, -7.2, -9.6]
+INFO (Cart3d): Whole grid: upper bound [5.4, 7.8, 10.2]
+INFO (Cart3d): Whole grid: extent [11.4, 15.6, 20.4]
+INFO (Cart3d): Interior: lower bound [-4.2, -6, -8.4]
+INFO (Cart3d): Interior: upper bound [4.2, 6.6, 9]
+INFO (Cart3d): Interior: extent [9, 13.2, 18]
+INFO (Cart3d): Grid spacing: [0.6, 0.6, 0.6]
+INFO (IOBasic): Scalar: Output every -1 iterations
+INFO (IOBasic): Info: Output every 1 iterations
+------------------
+ it | |
+ | t |
+------------------
+ 0 | 0.000 |
+ 1 | 0.300 |
+ 2 | 0.600 |
+ 3 | 0.900 |
+ 4 | 1.200 |
+ 5 | 1.500 |
+ 6 | 1.800 |
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse.par b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse.par
new file mode 100644
index 000000000..c5fa708f2
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse.par
@@ -0,0 +1,46 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse.par,v 1.7 2004/03/23 12:00:37 schnetter Exp $
+
+!DESC "WaveToy with periodic boundaries, no refinement"
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 6
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "wavetoyf77_periodic_coarse"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = plane
+IDScalarWave::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDScalarWave::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDScalarWave::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_x.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_x.xl
new file mode 100644
index 000000000..4e6fc8f78
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_x.xl
@@ -0,0 +1,170 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -5.4
+0 0 0 0 0 1 12 16 -4.8
+0 0 0 0 0 2 12 16 -4.2
+0 0 0 0 0 3 12 16 -3.6
+0 0 0 0 0 4 12 16 -3
+0 0 0 0 0 5 12 16 -2.4
+0 0 0 0 0 6 12 16 -1.8
+0 0 0 0 0 7 12 16 -1.2
+0 0 0 0 0 8 12 16 -0.6
+0 0 0 0 0 9 12 16 4.44089209850063e-16
+0 0 0 0 0 10 12 16 0.600000000000001
+0 0 0 0 0 11 12 16 1.2
+0 0 0 0 0 12 12 16 1.8
+0 0 0 0 0 13 12 16 2.4
+0 0 0 0 0 14 12 16 3
+0 0 0 0 0 15 12 16 3.6
+0 0 0 0 0 16 12 16 4.2
+0 0 0 0 0 17 12 16 4.8
+0 0 0 0 0 18 12 16 5.4
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -5.4
+1 0 0 0 0 1 12 16 -4.8
+1 0 0 0 0 2 12 16 -4.2
+1 0 0 0 0 3 12 16 -3.6
+1 0 0 0 0 4 12 16 -3
+1 0 0 0 0 5 12 16 -2.4
+1 0 0 0 0 6 12 16 -1.8
+1 0 0 0 0 7 12 16 -1.2
+1 0 0 0 0 8 12 16 -0.6
+1 0 0 0 0 9 12 16 4.44089209850063e-16
+1 0 0 0 0 10 12 16 0.600000000000001
+1 0 0 0 0 11 12 16 1.2
+1 0 0 0 0 12 12 16 1.8
+1 0 0 0 0 13 12 16 2.4
+1 0 0 0 0 14 12 16 3
+1 0 0 0 0 15 12 16 3.6
+1 0 0 0 0 16 12 16 4.2
+1 0 0 0 0 17 12 16 4.8
+1 0 0 0 0 18 12 16 5.4
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -5.4
+2 0 0 0 0 1 12 16 -4.8
+2 0 0 0 0 2 12 16 -4.2
+2 0 0 0 0 3 12 16 -3.6
+2 0 0 0 0 4 12 16 -3
+2 0 0 0 0 5 12 16 -2.4
+2 0 0 0 0 6 12 16 -1.8
+2 0 0 0 0 7 12 16 -1.2
+2 0 0 0 0 8 12 16 -0.6
+2 0 0 0 0 9 12 16 4.44089209850063e-16
+2 0 0 0 0 10 12 16 0.600000000000001
+2 0 0 0 0 11 12 16 1.2
+2 0 0 0 0 12 12 16 1.8
+2 0 0 0 0 13 12 16 2.4
+2 0 0 0 0 14 12 16 3
+2 0 0 0 0 15 12 16 3.6
+2 0 0 0 0 16 12 16 4.2
+2 0 0 0 0 17 12 16 4.8
+2 0 0 0 0 18 12 16 5.4
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -5.4
+3 0 0 0 0 1 12 16 -4.8
+3 0 0 0 0 2 12 16 -4.2
+3 0 0 0 0 3 12 16 -3.6
+3 0 0 0 0 4 12 16 -3
+3 0 0 0 0 5 12 16 -2.4
+3 0 0 0 0 6 12 16 -1.8
+3 0 0 0 0 7 12 16 -1.2
+3 0 0 0 0 8 12 16 -0.6
+3 0 0 0 0 9 12 16 4.44089209850063e-16
+3 0 0 0 0 10 12 16 0.600000000000001
+3 0 0 0 0 11 12 16 1.2
+3 0 0 0 0 12 12 16 1.8
+3 0 0 0 0 13 12 16 2.4
+3 0 0 0 0 14 12 16 3
+3 0 0 0 0 15 12 16 3.6
+3 0 0 0 0 16 12 16 4.2
+3 0 0 0 0 17 12 16 4.8
+3 0 0 0 0 18 12 16 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -5.4
+4 0 0 0 0 1 12 16 -4.8
+4 0 0 0 0 2 12 16 -4.2
+4 0 0 0 0 3 12 16 -3.6
+4 0 0 0 0 4 12 16 -3
+4 0 0 0 0 5 12 16 -2.4
+4 0 0 0 0 6 12 16 -1.8
+4 0 0 0 0 7 12 16 -1.2
+4 0 0 0 0 8 12 16 -0.6
+4 0 0 0 0 9 12 16 4.44089209850063e-16
+4 0 0 0 0 10 12 16 0.600000000000001
+4 0 0 0 0 11 12 16 1.2
+4 0 0 0 0 12 12 16 1.8
+4 0 0 0 0 13 12 16 2.4
+4 0 0 0 0 14 12 16 3
+4 0 0 0 0 15 12 16 3.6
+4 0 0 0 0 16 12 16 4.2
+4 0 0 0 0 17 12 16 4.8
+4 0 0 0 0 18 12 16 5.4
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -5.4
+5 0 0 0 0 1 12 16 -4.8
+5 0 0 0 0 2 12 16 -4.2
+5 0 0 0 0 3 12 16 -3.6
+5 0 0 0 0 4 12 16 -3
+5 0 0 0 0 5 12 16 -2.4
+5 0 0 0 0 6 12 16 -1.8
+5 0 0 0 0 7 12 16 -1.2
+5 0 0 0 0 8 12 16 -0.6
+5 0 0 0 0 9 12 16 4.44089209850063e-16
+5 0 0 0 0 10 12 16 0.600000000000001
+5 0 0 0 0 11 12 16 1.2
+5 0 0 0 0 12 12 16 1.8
+5 0 0 0 0 13 12 16 2.4
+5 0 0 0 0 14 12 16 3
+5 0 0 0 0 15 12 16 3.6
+5 0 0 0 0 16 12 16 4.2
+5 0 0 0 0 17 12 16 4.8
+5 0 0 0 0 18 12 16 5.4
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -5.4
+6 0 0 0 0 1 12 16 -4.8
+6 0 0 0 0 2 12 16 -4.2
+6 0 0 0 0 3 12 16 -3.6
+6 0 0 0 0 4 12 16 -3
+6 0 0 0 0 5 12 16 -2.4
+6 0 0 0 0 6 12 16 -1.8
+6 0 0 0 0 7 12 16 -1.2
+6 0 0 0 0 8 12 16 -0.6
+6 0 0 0 0 9 12 16 4.44089209850063e-16
+6 0 0 0 0 10 12 16 0.600000000000001
+6 0 0 0 0 11 12 16 1.2
+6 0 0 0 0 12 12 16 1.8
+6 0 0 0 0 13 12 16 2.4
+6 0 0 0 0 14 12 16 3
+6 0 0 0 0 15 12 16 3.6
+6 0 0 0 0 16 12 16 4.2
+6 0 0 0 0 17 12 16 4.8
+6 0 0 0 0 18 12 16 5.4
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_x.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_x.yl
new file mode 100644
index 000000000..467676ecc
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_x.yl
@@ -0,0 +1,219 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 4.44089209850063e-16
+0 0 0 0 0 9 1 16 4.44089209850063e-16
+0 0 0 0 0 9 2 16 4.44089209850063e-16
+0 0 0 0 0 9 3 16 4.44089209850063e-16
+0 0 0 0 0 9 4 16 4.44089209850063e-16
+0 0 0 0 0 9 5 16 4.44089209850063e-16
+0 0 0 0 0 9 6 16 4.44089209850063e-16
+0 0 0 0 0 9 7 16 4.44089209850063e-16
+0 0 0 0 0 9 8 16 4.44089209850063e-16
+0 0 0 0 0 9 9 16 4.44089209850063e-16
+0 0 0 0 0 9 10 16 4.44089209850063e-16
+0 0 0 0 0 9 11 16 4.44089209850063e-16
+0 0 0 0 0 9 12 16 4.44089209850063e-16
+0 0 0 0 0 9 13 16 4.44089209850063e-16
+0 0 0 0 0 9 14 16 4.44089209850063e-16
+0 0 0 0 0 9 15 16 4.44089209850063e-16
+0 0 0 0 0 9 16 16 4.44089209850063e-16
+0 0 0 0 0 9 17 16 4.44089209850063e-16
+0 0 0 0 0 9 18 16 4.44089209850063e-16
+0 0 0 0 0 9 19 16 4.44089209850063e-16
+0 0 0 0 0 9 20 16 4.44089209850063e-16
+0 0 0 0 0 9 21 16 4.44089209850063e-16
+0 0 0 0 0 9 22 16 4.44089209850063e-16
+0 0 0 0 0 9 23 16 4.44089209850063e-16
+0 0 0 0 0 9 24 16 4.44089209850063e-16
+0 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 4.44089209850063e-16
+1 0 0 0 0 9 1 16 4.44089209850063e-16
+1 0 0 0 0 9 2 16 4.44089209850063e-16
+1 0 0 0 0 9 3 16 4.44089209850063e-16
+1 0 0 0 0 9 4 16 4.44089209850063e-16
+1 0 0 0 0 9 5 16 4.44089209850063e-16
+1 0 0 0 0 9 6 16 4.44089209850063e-16
+1 0 0 0 0 9 7 16 4.44089209850063e-16
+1 0 0 0 0 9 8 16 4.44089209850063e-16
+1 0 0 0 0 9 9 16 4.44089209850063e-16
+1 0 0 0 0 9 10 16 4.44089209850063e-16
+1 0 0 0 0 9 11 16 4.44089209850063e-16
+1 0 0 0 0 9 12 16 4.44089209850063e-16
+1 0 0 0 0 9 13 16 4.44089209850063e-16
+1 0 0 0 0 9 14 16 4.44089209850063e-16
+1 0 0 0 0 9 15 16 4.44089209850063e-16
+1 0 0 0 0 9 16 16 4.44089209850063e-16
+1 0 0 0 0 9 17 16 4.44089209850063e-16
+1 0 0 0 0 9 18 16 4.44089209850063e-16
+1 0 0 0 0 9 19 16 4.44089209850063e-16
+1 0 0 0 0 9 20 16 4.44089209850063e-16
+1 0 0 0 0 9 21 16 4.44089209850063e-16
+1 0 0 0 0 9 22 16 4.44089209850063e-16
+1 0 0 0 0 9 23 16 4.44089209850063e-16
+1 0 0 0 0 9 24 16 4.44089209850063e-16
+1 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 4.44089209850063e-16
+2 0 0 0 0 9 1 16 4.44089209850063e-16
+2 0 0 0 0 9 2 16 4.44089209850063e-16
+2 0 0 0 0 9 3 16 4.44089209850063e-16
+2 0 0 0 0 9 4 16 4.44089209850063e-16
+2 0 0 0 0 9 5 16 4.44089209850063e-16
+2 0 0 0 0 9 6 16 4.44089209850063e-16
+2 0 0 0 0 9 7 16 4.44089209850063e-16
+2 0 0 0 0 9 8 16 4.44089209850063e-16
+2 0 0 0 0 9 9 16 4.44089209850063e-16
+2 0 0 0 0 9 10 16 4.44089209850063e-16
+2 0 0 0 0 9 11 16 4.44089209850063e-16
+2 0 0 0 0 9 12 16 4.44089209850063e-16
+2 0 0 0 0 9 13 16 4.44089209850063e-16
+2 0 0 0 0 9 14 16 4.44089209850063e-16
+2 0 0 0 0 9 15 16 4.44089209850063e-16
+2 0 0 0 0 9 16 16 4.44089209850063e-16
+2 0 0 0 0 9 17 16 4.44089209850063e-16
+2 0 0 0 0 9 18 16 4.44089209850063e-16
+2 0 0 0 0 9 19 16 4.44089209850063e-16
+2 0 0 0 0 9 20 16 4.44089209850063e-16
+2 0 0 0 0 9 21 16 4.44089209850063e-16
+2 0 0 0 0 9 22 16 4.44089209850063e-16
+2 0 0 0 0 9 23 16 4.44089209850063e-16
+2 0 0 0 0 9 24 16 4.44089209850063e-16
+2 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 4.44089209850063e-16
+3 0 0 0 0 9 1 16 4.44089209850063e-16
+3 0 0 0 0 9 2 16 4.44089209850063e-16
+3 0 0 0 0 9 3 16 4.44089209850063e-16
+3 0 0 0 0 9 4 16 4.44089209850063e-16
+3 0 0 0 0 9 5 16 4.44089209850063e-16
+3 0 0 0 0 9 6 16 4.44089209850063e-16
+3 0 0 0 0 9 7 16 4.44089209850063e-16
+3 0 0 0 0 9 8 16 4.44089209850063e-16
+3 0 0 0 0 9 9 16 4.44089209850063e-16
+3 0 0 0 0 9 10 16 4.44089209850063e-16
+3 0 0 0 0 9 11 16 4.44089209850063e-16
+3 0 0 0 0 9 12 16 4.44089209850063e-16
+3 0 0 0 0 9 13 16 4.44089209850063e-16
+3 0 0 0 0 9 14 16 4.44089209850063e-16
+3 0 0 0 0 9 15 16 4.44089209850063e-16
+3 0 0 0 0 9 16 16 4.44089209850063e-16
+3 0 0 0 0 9 17 16 4.44089209850063e-16
+3 0 0 0 0 9 18 16 4.44089209850063e-16
+3 0 0 0 0 9 19 16 4.44089209850063e-16
+3 0 0 0 0 9 20 16 4.44089209850063e-16
+3 0 0 0 0 9 21 16 4.44089209850063e-16
+3 0 0 0 0 9 22 16 4.44089209850063e-16
+3 0 0 0 0 9 23 16 4.44089209850063e-16
+3 0 0 0 0 9 24 16 4.44089209850063e-16
+3 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 4.44089209850063e-16
+4 0 0 0 0 9 1 16 4.44089209850063e-16
+4 0 0 0 0 9 2 16 4.44089209850063e-16
+4 0 0 0 0 9 3 16 4.44089209850063e-16
+4 0 0 0 0 9 4 16 4.44089209850063e-16
+4 0 0 0 0 9 5 16 4.44089209850063e-16
+4 0 0 0 0 9 6 16 4.44089209850063e-16
+4 0 0 0 0 9 7 16 4.44089209850063e-16
+4 0 0 0 0 9 8 16 4.44089209850063e-16
+4 0 0 0 0 9 9 16 4.44089209850063e-16
+4 0 0 0 0 9 10 16 4.44089209850063e-16
+4 0 0 0 0 9 11 16 4.44089209850063e-16
+4 0 0 0 0 9 12 16 4.44089209850063e-16
+4 0 0 0 0 9 13 16 4.44089209850063e-16
+4 0 0 0 0 9 14 16 4.44089209850063e-16
+4 0 0 0 0 9 15 16 4.44089209850063e-16
+4 0 0 0 0 9 16 16 4.44089209850063e-16
+4 0 0 0 0 9 17 16 4.44089209850063e-16
+4 0 0 0 0 9 18 16 4.44089209850063e-16
+4 0 0 0 0 9 19 16 4.44089209850063e-16
+4 0 0 0 0 9 20 16 4.44089209850063e-16
+4 0 0 0 0 9 21 16 4.44089209850063e-16
+4 0 0 0 0 9 22 16 4.44089209850063e-16
+4 0 0 0 0 9 23 16 4.44089209850063e-16
+4 0 0 0 0 9 24 16 4.44089209850063e-16
+4 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 4.44089209850063e-16
+5 0 0 0 0 9 1 16 4.44089209850063e-16
+5 0 0 0 0 9 2 16 4.44089209850063e-16
+5 0 0 0 0 9 3 16 4.44089209850063e-16
+5 0 0 0 0 9 4 16 4.44089209850063e-16
+5 0 0 0 0 9 5 16 4.44089209850063e-16
+5 0 0 0 0 9 6 16 4.44089209850063e-16
+5 0 0 0 0 9 7 16 4.44089209850063e-16
+5 0 0 0 0 9 8 16 4.44089209850063e-16
+5 0 0 0 0 9 9 16 4.44089209850063e-16
+5 0 0 0 0 9 10 16 4.44089209850063e-16
+5 0 0 0 0 9 11 16 4.44089209850063e-16
+5 0 0 0 0 9 12 16 4.44089209850063e-16
+5 0 0 0 0 9 13 16 4.44089209850063e-16
+5 0 0 0 0 9 14 16 4.44089209850063e-16
+5 0 0 0 0 9 15 16 4.44089209850063e-16
+5 0 0 0 0 9 16 16 4.44089209850063e-16
+5 0 0 0 0 9 17 16 4.44089209850063e-16
+5 0 0 0 0 9 18 16 4.44089209850063e-16
+5 0 0 0 0 9 19 16 4.44089209850063e-16
+5 0 0 0 0 9 20 16 4.44089209850063e-16
+5 0 0 0 0 9 21 16 4.44089209850063e-16
+5 0 0 0 0 9 22 16 4.44089209850063e-16
+5 0 0 0 0 9 23 16 4.44089209850063e-16
+5 0 0 0 0 9 24 16 4.44089209850063e-16
+5 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 4.44089209850063e-16
+6 0 0 0 0 9 1 16 4.44089209850063e-16
+6 0 0 0 0 9 2 16 4.44089209850063e-16
+6 0 0 0 0 9 3 16 4.44089209850063e-16
+6 0 0 0 0 9 4 16 4.44089209850063e-16
+6 0 0 0 0 9 5 16 4.44089209850063e-16
+6 0 0 0 0 9 6 16 4.44089209850063e-16
+6 0 0 0 0 9 7 16 4.44089209850063e-16
+6 0 0 0 0 9 8 16 4.44089209850063e-16
+6 0 0 0 0 9 9 16 4.44089209850063e-16
+6 0 0 0 0 9 10 16 4.44089209850063e-16
+6 0 0 0 0 9 11 16 4.44089209850063e-16
+6 0 0 0 0 9 12 16 4.44089209850063e-16
+6 0 0 0 0 9 13 16 4.44089209850063e-16
+6 0 0 0 0 9 14 16 4.44089209850063e-16
+6 0 0 0 0 9 15 16 4.44089209850063e-16
+6 0 0 0 0 9 16 16 4.44089209850063e-16
+6 0 0 0 0 9 17 16 4.44089209850063e-16
+6 0 0 0 0 9 18 16 4.44089209850063e-16
+6 0 0 0 0 9 19 16 4.44089209850063e-16
+6 0 0 0 0 9 20 16 4.44089209850063e-16
+6 0 0 0 0 9 21 16 4.44089209850063e-16
+6 0 0 0 0 9 22 16 4.44089209850063e-16
+6 0 0 0 0 9 23 16 4.44089209850063e-16
+6 0 0 0 0 9 24 16 4.44089209850063e-16
+6 0 0 0 0 9 25 16 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_x.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_x.zl
new file mode 100644
index 000000000..a9d72ade1
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_x.zl
@@ -0,0 +1,275 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 4.44089209850063e-16
+0 0 0 0 0 9 12 1 4.44089209850063e-16
+0 0 0 0 0 9 12 2 4.44089209850063e-16
+0 0 0 0 0 9 12 3 4.44089209850063e-16
+0 0 0 0 0 9 12 4 4.44089209850063e-16
+0 0 0 0 0 9 12 5 4.44089209850063e-16
+0 0 0 0 0 9 12 6 4.44089209850063e-16
+0 0 0 0 0 9 12 7 4.44089209850063e-16
+0 0 0 0 0 9 12 8 4.44089209850063e-16
+0 0 0 0 0 9 12 9 4.44089209850063e-16
+0 0 0 0 0 9 12 10 4.44089209850063e-16
+0 0 0 0 0 9 12 11 4.44089209850063e-16
+0 0 0 0 0 9 12 12 4.44089209850063e-16
+0 0 0 0 0 9 12 13 4.44089209850063e-16
+0 0 0 0 0 9 12 14 4.44089209850063e-16
+0 0 0 0 0 9 12 15 4.44089209850063e-16
+0 0 0 0 0 9 12 16 4.44089209850063e-16
+0 0 0 0 0 9 12 17 4.44089209850063e-16
+0 0 0 0 0 9 12 18 4.44089209850063e-16
+0 0 0 0 0 9 12 19 4.44089209850063e-16
+0 0 0 0 0 9 12 20 4.44089209850063e-16
+0 0 0 0 0 9 12 21 4.44089209850063e-16
+0 0 0 0 0 9 12 22 4.44089209850063e-16
+0 0 0 0 0 9 12 23 4.44089209850063e-16
+0 0 0 0 0 9 12 24 4.44089209850063e-16
+0 0 0 0 0 9 12 25 4.44089209850063e-16
+0 0 0 0 0 9 12 26 4.44089209850063e-16
+0 0 0 0 0 9 12 27 4.44089209850063e-16
+0 0 0 0 0 9 12 28 4.44089209850063e-16
+0 0 0 0 0 9 12 29 4.44089209850063e-16
+0 0 0 0 0 9 12 30 4.44089209850063e-16
+0 0 0 0 0 9 12 31 4.44089209850063e-16
+0 0 0 0 0 9 12 32 4.44089209850063e-16
+0 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 4.44089209850063e-16
+1 0 0 0 0 9 12 1 4.44089209850063e-16
+1 0 0 0 0 9 12 2 4.44089209850063e-16
+1 0 0 0 0 9 12 3 4.44089209850063e-16
+1 0 0 0 0 9 12 4 4.44089209850063e-16
+1 0 0 0 0 9 12 5 4.44089209850063e-16
+1 0 0 0 0 9 12 6 4.44089209850063e-16
+1 0 0 0 0 9 12 7 4.44089209850063e-16
+1 0 0 0 0 9 12 8 4.44089209850063e-16
+1 0 0 0 0 9 12 9 4.44089209850063e-16
+1 0 0 0 0 9 12 10 4.44089209850063e-16
+1 0 0 0 0 9 12 11 4.44089209850063e-16
+1 0 0 0 0 9 12 12 4.44089209850063e-16
+1 0 0 0 0 9 12 13 4.44089209850063e-16
+1 0 0 0 0 9 12 14 4.44089209850063e-16
+1 0 0 0 0 9 12 15 4.44089209850063e-16
+1 0 0 0 0 9 12 16 4.44089209850063e-16
+1 0 0 0 0 9 12 17 4.44089209850063e-16
+1 0 0 0 0 9 12 18 4.44089209850063e-16
+1 0 0 0 0 9 12 19 4.44089209850063e-16
+1 0 0 0 0 9 12 20 4.44089209850063e-16
+1 0 0 0 0 9 12 21 4.44089209850063e-16
+1 0 0 0 0 9 12 22 4.44089209850063e-16
+1 0 0 0 0 9 12 23 4.44089209850063e-16
+1 0 0 0 0 9 12 24 4.44089209850063e-16
+1 0 0 0 0 9 12 25 4.44089209850063e-16
+1 0 0 0 0 9 12 26 4.44089209850063e-16
+1 0 0 0 0 9 12 27 4.44089209850063e-16
+1 0 0 0 0 9 12 28 4.44089209850063e-16
+1 0 0 0 0 9 12 29 4.44089209850063e-16
+1 0 0 0 0 9 12 30 4.44089209850063e-16
+1 0 0 0 0 9 12 31 4.44089209850063e-16
+1 0 0 0 0 9 12 32 4.44089209850063e-16
+1 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 4.44089209850063e-16
+2 0 0 0 0 9 12 1 4.44089209850063e-16
+2 0 0 0 0 9 12 2 4.44089209850063e-16
+2 0 0 0 0 9 12 3 4.44089209850063e-16
+2 0 0 0 0 9 12 4 4.44089209850063e-16
+2 0 0 0 0 9 12 5 4.44089209850063e-16
+2 0 0 0 0 9 12 6 4.44089209850063e-16
+2 0 0 0 0 9 12 7 4.44089209850063e-16
+2 0 0 0 0 9 12 8 4.44089209850063e-16
+2 0 0 0 0 9 12 9 4.44089209850063e-16
+2 0 0 0 0 9 12 10 4.44089209850063e-16
+2 0 0 0 0 9 12 11 4.44089209850063e-16
+2 0 0 0 0 9 12 12 4.44089209850063e-16
+2 0 0 0 0 9 12 13 4.44089209850063e-16
+2 0 0 0 0 9 12 14 4.44089209850063e-16
+2 0 0 0 0 9 12 15 4.44089209850063e-16
+2 0 0 0 0 9 12 16 4.44089209850063e-16
+2 0 0 0 0 9 12 17 4.44089209850063e-16
+2 0 0 0 0 9 12 18 4.44089209850063e-16
+2 0 0 0 0 9 12 19 4.44089209850063e-16
+2 0 0 0 0 9 12 20 4.44089209850063e-16
+2 0 0 0 0 9 12 21 4.44089209850063e-16
+2 0 0 0 0 9 12 22 4.44089209850063e-16
+2 0 0 0 0 9 12 23 4.44089209850063e-16
+2 0 0 0 0 9 12 24 4.44089209850063e-16
+2 0 0 0 0 9 12 25 4.44089209850063e-16
+2 0 0 0 0 9 12 26 4.44089209850063e-16
+2 0 0 0 0 9 12 27 4.44089209850063e-16
+2 0 0 0 0 9 12 28 4.44089209850063e-16
+2 0 0 0 0 9 12 29 4.44089209850063e-16
+2 0 0 0 0 9 12 30 4.44089209850063e-16
+2 0 0 0 0 9 12 31 4.44089209850063e-16
+2 0 0 0 0 9 12 32 4.44089209850063e-16
+2 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 4.44089209850063e-16
+3 0 0 0 0 9 12 1 4.44089209850063e-16
+3 0 0 0 0 9 12 2 4.44089209850063e-16
+3 0 0 0 0 9 12 3 4.44089209850063e-16
+3 0 0 0 0 9 12 4 4.44089209850063e-16
+3 0 0 0 0 9 12 5 4.44089209850063e-16
+3 0 0 0 0 9 12 6 4.44089209850063e-16
+3 0 0 0 0 9 12 7 4.44089209850063e-16
+3 0 0 0 0 9 12 8 4.44089209850063e-16
+3 0 0 0 0 9 12 9 4.44089209850063e-16
+3 0 0 0 0 9 12 10 4.44089209850063e-16
+3 0 0 0 0 9 12 11 4.44089209850063e-16
+3 0 0 0 0 9 12 12 4.44089209850063e-16
+3 0 0 0 0 9 12 13 4.44089209850063e-16
+3 0 0 0 0 9 12 14 4.44089209850063e-16
+3 0 0 0 0 9 12 15 4.44089209850063e-16
+3 0 0 0 0 9 12 16 4.44089209850063e-16
+3 0 0 0 0 9 12 17 4.44089209850063e-16
+3 0 0 0 0 9 12 18 4.44089209850063e-16
+3 0 0 0 0 9 12 19 4.44089209850063e-16
+3 0 0 0 0 9 12 20 4.44089209850063e-16
+3 0 0 0 0 9 12 21 4.44089209850063e-16
+3 0 0 0 0 9 12 22 4.44089209850063e-16
+3 0 0 0 0 9 12 23 4.44089209850063e-16
+3 0 0 0 0 9 12 24 4.44089209850063e-16
+3 0 0 0 0 9 12 25 4.44089209850063e-16
+3 0 0 0 0 9 12 26 4.44089209850063e-16
+3 0 0 0 0 9 12 27 4.44089209850063e-16
+3 0 0 0 0 9 12 28 4.44089209850063e-16
+3 0 0 0 0 9 12 29 4.44089209850063e-16
+3 0 0 0 0 9 12 30 4.44089209850063e-16
+3 0 0 0 0 9 12 31 4.44089209850063e-16
+3 0 0 0 0 9 12 32 4.44089209850063e-16
+3 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 4.44089209850063e-16
+4 0 0 0 0 9 12 1 4.44089209850063e-16
+4 0 0 0 0 9 12 2 4.44089209850063e-16
+4 0 0 0 0 9 12 3 4.44089209850063e-16
+4 0 0 0 0 9 12 4 4.44089209850063e-16
+4 0 0 0 0 9 12 5 4.44089209850063e-16
+4 0 0 0 0 9 12 6 4.44089209850063e-16
+4 0 0 0 0 9 12 7 4.44089209850063e-16
+4 0 0 0 0 9 12 8 4.44089209850063e-16
+4 0 0 0 0 9 12 9 4.44089209850063e-16
+4 0 0 0 0 9 12 10 4.44089209850063e-16
+4 0 0 0 0 9 12 11 4.44089209850063e-16
+4 0 0 0 0 9 12 12 4.44089209850063e-16
+4 0 0 0 0 9 12 13 4.44089209850063e-16
+4 0 0 0 0 9 12 14 4.44089209850063e-16
+4 0 0 0 0 9 12 15 4.44089209850063e-16
+4 0 0 0 0 9 12 16 4.44089209850063e-16
+4 0 0 0 0 9 12 17 4.44089209850063e-16
+4 0 0 0 0 9 12 18 4.44089209850063e-16
+4 0 0 0 0 9 12 19 4.44089209850063e-16
+4 0 0 0 0 9 12 20 4.44089209850063e-16
+4 0 0 0 0 9 12 21 4.44089209850063e-16
+4 0 0 0 0 9 12 22 4.44089209850063e-16
+4 0 0 0 0 9 12 23 4.44089209850063e-16
+4 0 0 0 0 9 12 24 4.44089209850063e-16
+4 0 0 0 0 9 12 25 4.44089209850063e-16
+4 0 0 0 0 9 12 26 4.44089209850063e-16
+4 0 0 0 0 9 12 27 4.44089209850063e-16
+4 0 0 0 0 9 12 28 4.44089209850063e-16
+4 0 0 0 0 9 12 29 4.44089209850063e-16
+4 0 0 0 0 9 12 30 4.44089209850063e-16
+4 0 0 0 0 9 12 31 4.44089209850063e-16
+4 0 0 0 0 9 12 32 4.44089209850063e-16
+4 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 4.44089209850063e-16
+5 0 0 0 0 9 12 1 4.44089209850063e-16
+5 0 0 0 0 9 12 2 4.44089209850063e-16
+5 0 0 0 0 9 12 3 4.44089209850063e-16
+5 0 0 0 0 9 12 4 4.44089209850063e-16
+5 0 0 0 0 9 12 5 4.44089209850063e-16
+5 0 0 0 0 9 12 6 4.44089209850063e-16
+5 0 0 0 0 9 12 7 4.44089209850063e-16
+5 0 0 0 0 9 12 8 4.44089209850063e-16
+5 0 0 0 0 9 12 9 4.44089209850063e-16
+5 0 0 0 0 9 12 10 4.44089209850063e-16
+5 0 0 0 0 9 12 11 4.44089209850063e-16
+5 0 0 0 0 9 12 12 4.44089209850063e-16
+5 0 0 0 0 9 12 13 4.44089209850063e-16
+5 0 0 0 0 9 12 14 4.44089209850063e-16
+5 0 0 0 0 9 12 15 4.44089209850063e-16
+5 0 0 0 0 9 12 16 4.44089209850063e-16
+5 0 0 0 0 9 12 17 4.44089209850063e-16
+5 0 0 0 0 9 12 18 4.44089209850063e-16
+5 0 0 0 0 9 12 19 4.44089209850063e-16
+5 0 0 0 0 9 12 20 4.44089209850063e-16
+5 0 0 0 0 9 12 21 4.44089209850063e-16
+5 0 0 0 0 9 12 22 4.44089209850063e-16
+5 0 0 0 0 9 12 23 4.44089209850063e-16
+5 0 0 0 0 9 12 24 4.44089209850063e-16
+5 0 0 0 0 9 12 25 4.44089209850063e-16
+5 0 0 0 0 9 12 26 4.44089209850063e-16
+5 0 0 0 0 9 12 27 4.44089209850063e-16
+5 0 0 0 0 9 12 28 4.44089209850063e-16
+5 0 0 0 0 9 12 29 4.44089209850063e-16
+5 0 0 0 0 9 12 30 4.44089209850063e-16
+5 0 0 0 0 9 12 31 4.44089209850063e-16
+5 0 0 0 0 9 12 32 4.44089209850063e-16
+5 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 4.44089209850063e-16
+6 0 0 0 0 9 12 1 4.44089209850063e-16
+6 0 0 0 0 9 12 2 4.44089209850063e-16
+6 0 0 0 0 9 12 3 4.44089209850063e-16
+6 0 0 0 0 9 12 4 4.44089209850063e-16
+6 0 0 0 0 9 12 5 4.44089209850063e-16
+6 0 0 0 0 9 12 6 4.44089209850063e-16
+6 0 0 0 0 9 12 7 4.44089209850063e-16
+6 0 0 0 0 9 12 8 4.44089209850063e-16
+6 0 0 0 0 9 12 9 4.44089209850063e-16
+6 0 0 0 0 9 12 10 4.44089209850063e-16
+6 0 0 0 0 9 12 11 4.44089209850063e-16
+6 0 0 0 0 9 12 12 4.44089209850063e-16
+6 0 0 0 0 9 12 13 4.44089209850063e-16
+6 0 0 0 0 9 12 14 4.44089209850063e-16
+6 0 0 0 0 9 12 15 4.44089209850063e-16
+6 0 0 0 0 9 12 16 4.44089209850063e-16
+6 0 0 0 0 9 12 17 4.44089209850063e-16
+6 0 0 0 0 9 12 18 4.44089209850063e-16
+6 0 0 0 0 9 12 19 4.44089209850063e-16
+6 0 0 0 0 9 12 20 4.44089209850063e-16
+6 0 0 0 0 9 12 21 4.44089209850063e-16
+6 0 0 0 0 9 12 22 4.44089209850063e-16
+6 0 0 0 0 9 12 23 4.44089209850063e-16
+6 0 0 0 0 9 12 24 4.44089209850063e-16
+6 0 0 0 0 9 12 25 4.44089209850063e-16
+6 0 0 0 0 9 12 26 4.44089209850063e-16
+6 0 0 0 0 9 12 27 4.44089209850063e-16
+6 0 0 0 0 9 12 28 4.44089209850063e-16
+6 0 0 0 0 9 12 29 4.44089209850063e-16
+6 0 0 0 0 9 12 30 4.44089209850063e-16
+6 0 0 0 0 9 12 31 4.44089209850063e-16
+6 0 0 0 0 9 12 32 4.44089209850063e-16
+6 0 0 0 0 9 12 33 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_y.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_y.xl
new file mode 100644
index 000000000..d4d13f446
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_y.xl
@@ -0,0 +1,170 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -4.44089209850063e-16
+0 0 0 0 0 1 12 16 -4.44089209850063e-16
+0 0 0 0 0 2 12 16 -4.44089209850063e-16
+0 0 0 0 0 3 12 16 -4.44089209850063e-16
+0 0 0 0 0 4 12 16 -4.44089209850063e-16
+0 0 0 0 0 5 12 16 -4.44089209850063e-16
+0 0 0 0 0 6 12 16 -4.44089209850063e-16
+0 0 0 0 0 7 12 16 -4.44089209850063e-16
+0 0 0 0 0 8 12 16 -4.44089209850063e-16
+0 0 0 0 0 9 12 16 -4.44089209850063e-16
+0 0 0 0 0 10 12 16 -4.44089209850063e-16
+0 0 0 0 0 11 12 16 -4.44089209850063e-16
+0 0 0 0 0 12 12 16 -4.44089209850063e-16
+0 0 0 0 0 13 12 16 -4.44089209850063e-16
+0 0 0 0 0 14 12 16 -4.44089209850063e-16
+0 0 0 0 0 15 12 16 -4.44089209850063e-16
+0 0 0 0 0 16 12 16 -4.44089209850063e-16
+0 0 0 0 0 17 12 16 -4.44089209850063e-16
+0 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -4.44089209850063e-16
+1 0 0 0 0 1 12 16 -4.44089209850063e-16
+1 0 0 0 0 2 12 16 -4.44089209850063e-16
+1 0 0 0 0 3 12 16 -4.44089209850063e-16
+1 0 0 0 0 4 12 16 -4.44089209850063e-16
+1 0 0 0 0 5 12 16 -4.44089209850063e-16
+1 0 0 0 0 6 12 16 -4.44089209850063e-16
+1 0 0 0 0 7 12 16 -4.44089209850063e-16
+1 0 0 0 0 8 12 16 -4.44089209850063e-16
+1 0 0 0 0 9 12 16 -4.44089209850063e-16
+1 0 0 0 0 10 12 16 -4.44089209850063e-16
+1 0 0 0 0 11 12 16 -4.44089209850063e-16
+1 0 0 0 0 12 12 16 -4.44089209850063e-16
+1 0 0 0 0 13 12 16 -4.44089209850063e-16
+1 0 0 0 0 14 12 16 -4.44089209850063e-16
+1 0 0 0 0 15 12 16 -4.44089209850063e-16
+1 0 0 0 0 16 12 16 -4.44089209850063e-16
+1 0 0 0 0 17 12 16 -4.44089209850063e-16
+1 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -4.44089209850063e-16
+2 0 0 0 0 1 12 16 -4.44089209850063e-16
+2 0 0 0 0 2 12 16 -4.44089209850063e-16
+2 0 0 0 0 3 12 16 -4.44089209850063e-16
+2 0 0 0 0 4 12 16 -4.44089209850063e-16
+2 0 0 0 0 5 12 16 -4.44089209850063e-16
+2 0 0 0 0 6 12 16 -4.44089209850063e-16
+2 0 0 0 0 7 12 16 -4.44089209850063e-16
+2 0 0 0 0 8 12 16 -4.44089209850063e-16
+2 0 0 0 0 9 12 16 -4.44089209850063e-16
+2 0 0 0 0 10 12 16 -4.44089209850063e-16
+2 0 0 0 0 11 12 16 -4.44089209850063e-16
+2 0 0 0 0 12 12 16 -4.44089209850063e-16
+2 0 0 0 0 13 12 16 -4.44089209850063e-16
+2 0 0 0 0 14 12 16 -4.44089209850063e-16
+2 0 0 0 0 15 12 16 -4.44089209850063e-16
+2 0 0 0 0 16 12 16 -4.44089209850063e-16
+2 0 0 0 0 17 12 16 -4.44089209850063e-16
+2 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -4.44089209850063e-16
+3 0 0 0 0 1 12 16 -4.44089209850063e-16
+3 0 0 0 0 2 12 16 -4.44089209850063e-16
+3 0 0 0 0 3 12 16 -4.44089209850063e-16
+3 0 0 0 0 4 12 16 -4.44089209850063e-16
+3 0 0 0 0 5 12 16 -4.44089209850063e-16
+3 0 0 0 0 6 12 16 -4.44089209850063e-16
+3 0 0 0 0 7 12 16 -4.44089209850063e-16
+3 0 0 0 0 8 12 16 -4.44089209850063e-16
+3 0 0 0 0 9 12 16 -4.44089209850063e-16
+3 0 0 0 0 10 12 16 -4.44089209850063e-16
+3 0 0 0 0 11 12 16 -4.44089209850063e-16
+3 0 0 0 0 12 12 16 -4.44089209850063e-16
+3 0 0 0 0 13 12 16 -4.44089209850063e-16
+3 0 0 0 0 14 12 16 -4.44089209850063e-16
+3 0 0 0 0 15 12 16 -4.44089209850063e-16
+3 0 0 0 0 16 12 16 -4.44089209850063e-16
+3 0 0 0 0 17 12 16 -4.44089209850063e-16
+3 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -4.44089209850063e-16
+4 0 0 0 0 1 12 16 -4.44089209850063e-16
+4 0 0 0 0 2 12 16 -4.44089209850063e-16
+4 0 0 0 0 3 12 16 -4.44089209850063e-16
+4 0 0 0 0 4 12 16 -4.44089209850063e-16
+4 0 0 0 0 5 12 16 -4.44089209850063e-16
+4 0 0 0 0 6 12 16 -4.44089209850063e-16
+4 0 0 0 0 7 12 16 -4.44089209850063e-16
+4 0 0 0 0 8 12 16 -4.44089209850063e-16
+4 0 0 0 0 9 12 16 -4.44089209850063e-16
+4 0 0 0 0 10 12 16 -4.44089209850063e-16
+4 0 0 0 0 11 12 16 -4.44089209850063e-16
+4 0 0 0 0 12 12 16 -4.44089209850063e-16
+4 0 0 0 0 13 12 16 -4.44089209850063e-16
+4 0 0 0 0 14 12 16 -4.44089209850063e-16
+4 0 0 0 0 15 12 16 -4.44089209850063e-16
+4 0 0 0 0 16 12 16 -4.44089209850063e-16
+4 0 0 0 0 17 12 16 -4.44089209850063e-16
+4 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -4.44089209850063e-16
+5 0 0 0 0 1 12 16 -4.44089209850063e-16
+5 0 0 0 0 2 12 16 -4.44089209850063e-16
+5 0 0 0 0 3 12 16 -4.44089209850063e-16
+5 0 0 0 0 4 12 16 -4.44089209850063e-16
+5 0 0 0 0 5 12 16 -4.44089209850063e-16
+5 0 0 0 0 6 12 16 -4.44089209850063e-16
+5 0 0 0 0 7 12 16 -4.44089209850063e-16
+5 0 0 0 0 8 12 16 -4.44089209850063e-16
+5 0 0 0 0 9 12 16 -4.44089209850063e-16
+5 0 0 0 0 10 12 16 -4.44089209850063e-16
+5 0 0 0 0 11 12 16 -4.44089209850063e-16
+5 0 0 0 0 12 12 16 -4.44089209850063e-16
+5 0 0 0 0 13 12 16 -4.44089209850063e-16
+5 0 0 0 0 14 12 16 -4.44089209850063e-16
+5 0 0 0 0 15 12 16 -4.44089209850063e-16
+5 0 0 0 0 16 12 16 -4.44089209850063e-16
+5 0 0 0 0 17 12 16 -4.44089209850063e-16
+5 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -4.44089209850063e-16
+6 0 0 0 0 1 12 16 -4.44089209850063e-16
+6 0 0 0 0 2 12 16 -4.44089209850063e-16
+6 0 0 0 0 3 12 16 -4.44089209850063e-16
+6 0 0 0 0 4 12 16 -4.44089209850063e-16
+6 0 0 0 0 5 12 16 -4.44089209850063e-16
+6 0 0 0 0 6 12 16 -4.44089209850063e-16
+6 0 0 0 0 7 12 16 -4.44089209850063e-16
+6 0 0 0 0 8 12 16 -4.44089209850063e-16
+6 0 0 0 0 9 12 16 -4.44089209850063e-16
+6 0 0 0 0 10 12 16 -4.44089209850063e-16
+6 0 0 0 0 11 12 16 -4.44089209850063e-16
+6 0 0 0 0 12 12 16 -4.44089209850063e-16
+6 0 0 0 0 13 12 16 -4.44089209850063e-16
+6 0 0 0 0 14 12 16 -4.44089209850063e-16
+6 0 0 0 0 15 12 16 -4.44089209850063e-16
+6 0 0 0 0 16 12 16 -4.44089209850063e-16
+6 0 0 0 0 17 12 16 -4.44089209850063e-16
+6 0 0 0 0 18 12 16 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_y.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_y.yl
new file mode 100644
index 000000000..f9b213254
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_y.yl
@@ -0,0 +1,219 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -7.2
+0 0 0 0 0 9 1 16 -6.6
+0 0 0 0 0 9 2 16 -6
+0 0 0 0 0 9 3 16 -5.4
+0 0 0 0 0 9 4 16 -4.8
+0 0 0 0 0 9 5 16 -4.2
+0 0 0 0 0 9 6 16 -3.6
+0 0 0 0 0 9 7 16 -3
+0 0 0 0 0 9 8 16 -2.4
+0 0 0 0 0 9 9 16 -1.8
+0 0 0 0 0 9 10 16 -1.2
+0 0 0 0 0 9 11 16 -0.6
+0 0 0 0 0 9 12 16 -4.44089209850063e-16
+0 0 0 0 0 9 13 16 0.6
+0 0 0 0 0 9 14 16 1.2
+0 0 0 0 0 9 15 16 1.8
+0 0 0 0 0 9 16 16 2.4
+0 0 0 0 0 9 17 16 3
+0 0 0 0 0 9 18 16 3.6
+0 0 0 0 0 9 19 16 4.2
+0 0 0 0 0 9 20 16 4.8
+0 0 0 0 0 9 21 16 5.4
+0 0 0 0 0 9 22 16 6
+0 0 0 0 0 9 23 16 6.6
+0 0 0 0 0 9 24 16 7.2
+0 0 0 0 0 9 25 16 7.8
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 -7.2
+1 0 0 0 0 9 1 16 -6.6
+1 0 0 0 0 9 2 16 -6
+1 0 0 0 0 9 3 16 -5.4
+1 0 0 0 0 9 4 16 -4.8
+1 0 0 0 0 9 5 16 -4.2
+1 0 0 0 0 9 6 16 -3.6
+1 0 0 0 0 9 7 16 -3
+1 0 0 0 0 9 8 16 -2.4
+1 0 0 0 0 9 9 16 -1.8
+1 0 0 0 0 9 10 16 -1.2
+1 0 0 0 0 9 11 16 -0.6
+1 0 0 0 0 9 12 16 -4.44089209850063e-16
+1 0 0 0 0 9 13 16 0.6
+1 0 0 0 0 9 14 16 1.2
+1 0 0 0 0 9 15 16 1.8
+1 0 0 0 0 9 16 16 2.4
+1 0 0 0 0 9 17 16 3
+1 0 0 0 0 9 18 16 3.6
+1 0 0 0 0 9 19 16 4.2
+1 0 0 0 0 9 20 16 4.8
+1 0 0 0 0 9 21 16 5.4
+1 0 0 0 0 9 22 16 6
+1 0 0 0 0 9 23 16 6.6
+1 0 0 0 0 9 24 16 7.2
+1 0 0 0 0 9 25 16 7.8
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 -7.2
+2 0 0 0 0 9 1 16 -6.6
+2 0 0 0 0 9 2 16 -6
+2 0 0 0 0 9 3 16 -5.4
+2 0 0 0 0 9 4 16 -4.8
+2 0 0 0 0 9 5 16 -4.2
+2 0 0 0 0 9 6 16 -3.6
+2 0 0 0 0 9 7 16 -3
+2 0 0 0 0 9 8 16 -2.4
+2 0 0 0 0 9 9 16 -1.8
+2 0 0 0 0 9 10 16 -1.2
+2 0 0 0 0 9 11 16 -0.6
+2 0 0 0 0 9 12 16 -4.44089209850063e-16
+2 0 0 0 0 9 13 16 0.6
+2 0 0 0 0 9 14 16 1.2
+2 0 0 0 0 9 15 16 1.8
+2 0 0 0 0 9 16 16 2.4
+2 0 0 0 0 9 17 16 3
+2 0 0 0 0 9 18 16 3.6
+2 0 0 0 0 9 19 16 4.2
+2 0 0 0 0 9 20 16 4.8
+2 0 0 0 0 9 21 16 5.4
+2 0 0 0 0 9 22 16 6
+2 0 0 0 0 9 23 16 6.6
+2 0 0 0 0 9 24 16 7.2
+2 0 0 0 0 9 25 16 7.8
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 -7.2
+3 0 0 0 0 9 1 16 -6.6
+3 0 0 0 0 9 2 16 -6
+3 0 0 0 0 9 3 16 -5.4
+3 0 0 0 0 9 4 16 -4.8
+3 0 0 0 0 9 5 16 -4.2
+3 0 0 0 0 9 6 16 -3.6
+3 0 0 0 0 9 7 16 -3
+3 0 0 0 0 9 8 16 -2.4
+3 0 0 0 0 9 9 16 -1.8
+3 0 0 0 0 9 10 16 -1.2
+3 0 0 0 0 9 11 16 -0.6
+3 0 0 0 0 9 12 16 -4.44089209850063e-16
+3 0 0 0 0 9 13 16 0.6
+3 0 0 0 0 9 14 16 1.2
+3 0 0 0 0 9 15 16 1.8
+3 0 0 0 0 9 16 16 2.4
+3 0 0 0 0 9 17 16 3
+3 0 0 0 0 9 18 16 3.6
+3 0 0 0 0 9 19 16 4.2
+3 0 0 0 0 9 20 16 4.8
+3 0 0 0 0 9 21 16 5.4
+3 0 0 0 0 9 22 16 6
+3 0 0 0 0 9 23 16 6.6
+3 0 0 0 0 9 24 16 7.2
+3 0 0 0 0 9 25 16 7.8
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 -7.2
+4 0 0 0 0 9 1 16 -6.6
+4 0 0 0 0 9 2 16 -6
+4 0 0 0 0 9 3 16 -5.4
+4 0 0 0 0 9 4 16 -4.8
+4 0 0 0 0 9 5 16 -4.2
+4 0 0 0 0 9 6 16 -3.6
+4 0 0 0 0 9 7 16 -3
+4 0 0 0 0 9 8 16 -2.4
+4 0 0 0 0 9 9 16 -1.8
+4 0 0 0 0 9 10 16 -1.2
+4 0 0 0 0 9 11 16 -0.6
+4 0 0 0 0 9 12 16 -4.44089209850063e-16
+4 0 0 0 0 9 13 16 0.6
+4 0 0 0 0 9 14 16 1.2
+4 0 0 0 0 9 15 16 1.8
+4 0 0 0 0 9 16 16 2.4
+4 0 0 0 0 9 17 16 3
+4 0 0 0 0 9 18 16 3.6
+4 0 0 0 0 9 19 16 4.2
+4 0 0 0 0 9 20 16 4.8
+4 0 0 0 0 9 21 16 5.4
+4 0 0 0 0 9 22 16 6
+4 0 0 0 0 9 23 16 6.6
+4 0 0 0 0 9 24 16 7.2
+4 0 0 0 0 9 25 16 7.8
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 -7.2
+5 0 0 0 0 9 1 16 -6.6
+5 0 0 0 0 9 2 16 -6
+5 0 0 0 0 9 3 16 -5.4
+5 0 0 0 0 9 4 16 -4.8
+5 0 0 0 0 9 5 16 -4.2
+5 0 0 0 0 9 6 16 -3.6
+5 0 0 0 0 9 7 16 -3
+5 0 0 0 0 9 8 16 -2.4
+5 0 0 0 0 9 9 16 -1.8
+5 0 0 0 0 9 10 16 -1.2
+5 0 0 0 0 9 11 16 -0.6
+5 0 0 0 0 9 12 16 -4.44089209850063e-16
+5 0 0 0 0 9 13 16 0.6
+5 0 0 0 0 9 14 16 1.2
+5 0 0 0 0 9 15 16 1.8
+5 0 0 0 0 9 16 16 2.4
+5 0 0 0 0 9 17 16 3
+5 0 0 0 0 9 18 16 3.6
+5 0 0 0 0 9 19 16 4.2
+5 0 0 0 0 9 20 16 4.8
+5 0 0 0 0 9 21 16 5.4
+5 0 0 0 0 9 22 16 6
+5 0 0 0 0 9 23 16 6.6
+5 0 0 0 0 9 24 16 7.2
+5 0 0 0 0 9 25 16 7.8
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 -7.2
+6 0 0 0 0 9 1 16 -6.6
+6 0 0 0 0 9 2 16 -6
+6 0 0 0 0 9 3 16 -5.4
+6 0 0 0 0 9 4 16 -4.8
+6 0 0 0 0 9 5 16 -4.2
+6 0 0 0 0 9 6 16 -3.6
+6 0 0 0 0 9 7 16 -3
+6 0 0 0 0 9 8 16 -2.4
+6 0 0 0 0 9 9 16 -1.8
+6 0 0 0 0 9 10 16 -1.2
+6 0 0 0 0 9 11 16 -0.6
+6 0 0 0 0 9 12 16 -4.44089209850063e-16
+6 0 0 0 0 9 13 16 0.6
+6 0 0 0 0 9 14 16 1.2
+6 0 0 0 0 9 15 16 1.8
+6 0 0 0 0 9 16 16 2.4
+6 0 0 0 0 9 17 16 3
+6 0 0 0 0 9 18 16 3.6
+6 0 0 0 0 9 19 16 4.2
+6 0 0 0 0 9 20 16 4.8
+6 0 0 0 0 9 21 16 5.4
+6 0 0 0 0 9 22 16 6
+6 0 0 0 0 9 23 16 6.6
+6 0 0 0 0 9 24 16 7.2
+6 0 0 0 0 9 25 16 7.8
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_y.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_y.zl
new file mode 100644
index 000000000..5eb528a02
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_y.zl
@@ -0,0 +1,275 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 -4.44089209850063e-16
+0 0 0 0 0 9 12 1 -4.44089209850063e-16
+0 0 0 0 0 9 12 2 -4.44089209850063e-16
+0 0 0 0 0 9 12 3 -4.44089209850063e-16
+0 0 0 0 0 9 12 4 -4.44089209850063e-16
+0 0 0 0 0 9 12 5 -4.44089209850063e-16
+0 0 0 0 0 9 12 6 -4.44089209850063e-16
+0 0 0 0 0 9 12 7 -4.44089209850063e-16
+0 0 0 0 0 9 12 8 -4.44089209850063e-16
+0 0 0 0 0 9 12 9 -4.44089209850063e-16
+0 0 0 0 0 9 12 10 -4.44089209850063e-16
+0 0 0 0 0 9 12 11 -4.44089209850063e-16
+0 0 0 0 0 9 12 12 -4.44089209850063e-16
+0 0 0 0 0 9 12 13 -4.44089209850063e-16
+0 0 0 0 0 9 12 14 -4.44089209850063e-16
+0 0 0 0 0 9 12 15 -4.44089209850063e-16
+0 0 0 0 0 9 12 16 -4.44089209850063e-16
+0 0 0 0 0 9 12 17 -4.44089209850063e-16
+0 0 0 0 0 9 12 18 -4.44089209850063e-16
+0 0 0 0 0 9 12 19 -4.44089209850063e-16
+0 0 0 0 0 9 12 20 -4.44089209850063e-16
+0 0 0 0 0 9 12 21 -4.44089209850063e-16
+0 0 0 0 0 9 12 22 -4.44089209850063e-16
+0 0 0 0 0 9 12 23 -4.44089209850063e-16
+0 0 0 0 0 9 12 24 -4.44089209850063e-16
+0 0 0 0 0 9 12 25 -4.44089209850063e-16
+0 0 0 0 0 9 12 26 -4.44089209850063e-16
+0 0 0 0 0 9 12 27 -4.44089209850063e-16
+0 0 0 0 0 9 12 28 -4.44089209850063e-16
+0 0 0 0 0 9 12 29 -4.44089209850063e-16
+0 0 0 0 0 9 12 30 -4.44089209850063e-16
+0 0 0 0 0 9 12 31 -4.44089209850063e-16
+0 0 0 0 0 9 12 32 -4.44089209850063e-16
+0 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 -4.44089209850063e-16
+1 0 0 0 0 9 12 1 -4.44089209850063e-16
+1 0 0 0 0 9 12 2 -4.44089209850063e-16
+1 0 0 0 0 9 12 3 -4.44089209850063e-16
+1 0 0 0 0 9 12 4 -4.44089209850063e-16
+1 0 0 0 0 9 12 5 -4.44089209850063e-16
+1 0 0 0 0 9 12 6 -4.44089209850063e-16
+1 0 0 0 0 9 12 7 -4.44089209850063e-16
+1 0 0 0 0 9 12 8 -4.44089209850063e-16
+1 0 0 0 0 9 12 9 -4.44089209850063e-16
+1 0 0 0 0 9 12 10 -4.44089209850063e-16
+1 0 0 0 0 9 12 11 -4.44089209850063e-16
+1 0 0 0 0 9 12 12 -4.44089209850063e-16
+1 0 0 0 0 9 12 13 -4.44089209850063e-16
+1 0 0 0 0 9 12 14 -4.44089209850063e-16
+1 0 0 0 0 9 12 15 -4.44089209850063e-16
+1 0 0 0 0 9 12 16 -4.44089209850063e-16
+1 0 0 0 0 9 12 17 -4.44089209850063e-16
+1 0 0 0 0 9 12 18 -4.44089209850063e-16
+1 0 0 0 0 9 12 19 -4.44089209850063e-16
+1 0 0 0 0 9 12 20 -4.44089209850063e-16
+1 0 0 0 0 9 12 21 -4.44089209850063e-16
+1 0 0 0 0 9 12 22 -4.44089209850063e-16
+1 0 0 0 0 9 12 23 -4.44089209850063e-16
+1 0 0 0 0 9 12 24 -4.44089209850063e-16
+1 0 0 0 0 9 12 25 -4.44089209850063e-16
+1 0 0 0 0 9 12 26 -4.44089209850063e-16
+1 0 0 0 0 9 12 27 -4.44089209850063e-16
+1 0 0 0 0 9 12 28 -4.44089209850063e-16
+1 0 0 0 0 9 12 29 -4.44089209850063e-16
+1 0 0 0 0 9 12 30 -4.44089209850063e-16
+1 0 0 0 0 9 12 31 -4.44089209850063e-16
+1 0 0 0 0 9 12 32 -4.44089209850063e-16
+1 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 -4.44089209850063e-16
+2 0 0 0 0 9 12 1 -4.44089209850063e-16
+2 0 0 0 0 9 12 2 -4.44089209850063e-16
+2 0 0 0 0 9 12 3 -4.44089209850063e-16
+2 0 0 0 0 9 12 4 -4.44089209850063e-16
+2 0 0 0 0 9 12 5 -4.44089209850063e-16
+2 0 0 0 0 9 12 6 -4.44089209850063e-16
+2 0 0 0 0 9 12 7 -4.44089209850063e-16
+2 0 0 0 0 9 12 8 -4.44089209850063e-16
+2 0 0 0 0 9 12 9 -4.44089209850063e-16
+2 0 0 0 0 9 12 10 -4.44089209850063e-16
+2 0 0 0 0 9 12 11 -4.44089209850063e-16
+2 0 0 0 0 9 12 12 -4.44089209850063e-16
+2 0 0 0 0 9 12 13 -4.44089209850063e-16
+2 0 0 0 0 9 12 14 -4.44089209850063e-16
+2 0 0 0 0 9 12 15 -4.44089209850063e-16
+2 0 0 0 0 9 12 16 -4.44089209850063e-16
+2 0 0 0 0 9 12 17 -4.44089209850063e-16
+2 0 0 0 0 9 12 18 -4.44089209850063e-16
+2 0 0 0 0 9 12 19 -4.44089209850063e-16
+2 0 0 0 0 9 12 20 -4.44089209850063e-16
+2 0 0 0 0 9 12 21 -4.44089209850063e-16
+2 0 0 0 0 9 12 22 -4.44089209850063e-16
+2 0 0 0 0 9 12 23 -4.44089209850063e-16
+2 0 0 0 0 9 12 24 -4.44089209850063e-16
+2 0 0 0 0 9 12 25 -4.44089209850063e-16
+2 0 0 0 0 9 12 26 -4.44089209850063e-16
+2 0 0 0 0 9 12 27 -4.44089209850063e-16
+2 0 0 0 0 9 12 28 -4.44089209850063e-16
+2 0 0 0 0 9 12 29 -4.44089209850063e-16
+2 0 0 0 0 9 12 30 -4.44089209850063e-16
+2 0 0 0 0 9 12 31 -4.44089209850063e-16
+2 0 0 0 0 9 12 32 -4.44089209850063e-16
+2 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 -4.44089209850063e-16
+3 0 0 0 0 9 12 1 -4.44089209850063e-16
+3 0 0 0 0 9 12 2 -4.44089209850063e-16
+3 0 0 0 0 9 12 3 -4.44089209850063e-16
+3 0 0 0 0 9 12 4 -4.44089209850063e-16
+3 0 0 0 0 9 12 5 -4.44089209850063e-16
+3 0 0 0 0 9 12 6 -4.44089209850063e-16
+3 0 0 0 0 9 12 7 -4.44089209850063e-16
+3 0 0 0 0 9 12 8 -4.44089209850063e-16
+3 0 0 0 0 9 12 9 -4.44089209850063e-16
+3 0 0 0 0 9 12 10 -4.44089209850063e-16
+3 0 0 0 0 9 12 11 -4.44089209850063e-16
+3 0 0 0 0 9 12 12 -4.44089209850063e-16
+3 0 0 0 0 9 12 13 -4.44089209850063e-16
+3 0 0 0 0 9 12 14 -4.44089209850063e-16
+3 0 0 0 0 9 12 15 -4.44089209850063e-16
+3 0 0 0 0 9 12 16 -4.44089209850063e-16
+3 0 0 0 0 9 12 17 -4.44089209850063e-16
+3 0 0 0 0 9 12 18 -4.44089209850063e-16
+3 0 0 0 0 9 12 19 -4.44089209850063e-16
+3 0 0 0 0 9 12 20 -4.44089209850063e-16
+3 0 0 0 0 9 12 21 -4.44089209850063e-16
+3 0 0 0 0 9 12 22 -4.44089209850063e-16
+3 0 0 0 0 9 12 23 -4.44089209850063e-16
+3 0 0 0 0 9 12 24 -4.44089209850063e-16
+3 0 0 0 0 9 12 25 -4.44089209850063e-16
+3 0 0 0 0 9 12 26 -4.44089209850063e-16
+3 0 0 0 0 9 12 27 -4.44089209850063e-16
+3 0 0 0 0 9 12 28 -4.44089209850063e-16
+3 0 0 0 0 9 12 29 -4.44089209850063e-16
+3 0 0 0 0 9 12 30 -4.44089209850063e-16
+3 0 0 0 0 9 12 31 -4.44089209850063e-16
+3 0 0 0 0 9 12 32 -4.44089209850063e-16
+3 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 -4.44089209850063e-16
+4 0 0 0 0 9 12 1 -4.44089209850063e-16
+4 0 0 0 0 9 12 2 -4.44089209850063e-16
+4 0 0 0 0 9 12 3 -4.44089209850063e-16
+4 0 0 0 0 9 12 4 -4.44089209850063e-16
+4 0 0 0 0 9 12 5 -4.44089209850063e-16
+4 0 0 0 0 9 12 6 -4.44089209850063e-16
+4 0 0 0 0 9 12 7 -4.44089209850063e-16
+4 0 0 0 0 9 12 8 -4.44089209850063e-16
+4 0 0 0 0 9 12 9 -4.44089209850063e-16
+4 0 0 0 0 9 12 10 -4.44089209850063e-16
+4 0 0 0 0 9 12 11 -4.44089209850063e-16
+4 0 0 0 0 9 12 12 -4.44089209850063e-16
+4 0 0 0 0 9 12 13 -4.44089209850063e-16
+4 0 0 0 0 9 12 14 -4.44089209850063e-16
+4 0 0 0 0 9 12 15 -4.44089209850063e-16
+4 0 0 0 0 9 12 16 -4.44089209850063e-16
+4 0 0 0 0 9 12 17 -4.44089209850063e-16
+4 0 0 0 0 9 12 18 -4.44089209850063e-16
+4 0 0 0 0 9 12 19 -4.44089209850063e-16
+4 0 0 0 0 9 12 20 -4.44089209850063e-16
+4 0 0 0 0 9 12 21 -4.44089209850063e-16
+4 0 0 0 0 9 12 22 -4.44089209850063e-16
+4 0 0 0 0 9 12 23 -4.44089209850063e-16
+4 0 0 0 0 9 12 24 -4.44089209850063e-16
+4 0 0 0 0 9 12 25 -4.44089209850063e-16
+4 0 0 0 0 9 12 26 -4.44089209850063e-16
+4 0 0 0 0 9 12 27 -4.44089209850063e-16
+4 0 0 0 0 9 12 28 -4.44089209850063e-16
+4 0 0 0 0 9 12 29 -4.44089209850063e-16
+4 0 0 0 0 9 12 30 -4.44089209850063e-16
+4 0 0 0 0 9 12 31 -4.44089209850063e-16
+4 0 0 0 0 9 12 32 -4.44089209850063e-16
+4 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 -4.44089209850063e-16
+5 0 0 0 0 9 12 1 -4.44089209850063e-16
+5 0 0 0 0 9 12 2 -4.44089209850063e-16
+5 0 0 0 0 9 12 3 -4.44089209850063e-16
+5 0 0 0 0 9 12 4 -4.44089209850063e-16
+5 0 0 0 0 9 12 5 -4.44089209850063e-16
+5 0 0 0 0 9 12 6 -4.44089209850063e-16
+5 0 0 0 0 9 12 7 -4.44089209850063e-16
+5 0 0 0 0 9 12 8 -4.44089209850063e-16
+5 0 0 0 0 9 12 9 -4.44089209850063e-16
+5 0 0 0 0 9 12 10 -4.44089209850063e-16
+5 0 0 0 0 9 12 11 -4.44089209850063e-16
+5 0 0 0 0 9 12 12 -4.44089209850063e-16
+5 0 0 0 0 9 12 13 -4.44089209850063e-16
+5 0 0 0 0 9 12 14 -4.44089209850063e-16
+5 0 0 0 0 9 12 15 -4.44089209850063e-16
+5 0 0 0 0 9 12 16 -4.44089209850063e-16
+5 0 0 0 0 9 12 17 -4.44089209850063e-16
+5 0 0 0 0 9 12 18 -4.44089209850063e-16
+5 0 0 0 0 9 12 19 -4.44089209850063e-16
+5 0 0 0 0 9 12 20 -4.44089209850063e-16
+5 0 0 0 0 9 12 21 -4.44089209850063e-16
+5 0 0 0 0 9 12 22 -4.44089209850063e-16
+5 0 0 0 0 9 12 23 -4.44089209850063e-16
+5 0 0 0 0 9 12 24 -4.44089209850063e-16
+5 0 0 0 0 9 12 25 -4.44089209850063e-16
+5 0 0 0 0 9 12 26 -4.44089209850063e-16
+5 0 0 0 0 9 12 27 -4.44089209850063e-16
+5 0 0 0 0 9 12 28 -4.44089209850063e-16
+5 0 0 0 0 9 12 29 -4.44089209850063e-16
+5 0 0 0 0 9 12 30 -4.44089209850063e-16
+5 0 0 0 0 9 12 31 -4.44089209850063e-16
+5 0 0 0 0 9 12 32 -4.44089209850063e-16
+5 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 -4.44089209850063e-16
+6 0 0 0 0 9 12 1 -4.44089209850063e-16
+6 0 0 0 0 9 12 2 -4.44089209850063e-16
+6 0 0 0 0 9 12 3 -4.44089209850063e-16
+6 0 0 0 0 9 12 4 -4.44089209850063e-16
+6 0 0 0 0 9 12 5 -4.44089209850063e-16
+6 0 0 0 0 9 12 6 -4.44089209850063e-16
+6 0 0 0 0 9 12 7 -4.44089209850063e-16
+6 0 0 0 0 9 12 8 -4.44089209850063e-16
+6 0 0 0 0 9 12 9 -4.44089209850063e-16
+6 0 0 0 0 9 12 10 -4.44089209850063e-16
+6 0 0 0 0 9 12 11 -4.44089209850063e-16
+6 0 0 0 0 9 12 12 -4.44089209850063e-16
+6 0 0 0 0 9 12 13 -4.44089209850063e-16
+6 0 0 0 0 9 12 14 -4.44089209850063e-16
+6 0 0 0 0 9 12 15 -4.44089209850063e-16
+6 0 0 0 0 9 12 16 -4.44089209850063e-16
+6 0 0 0 0 9 12 17 -4.44089209850063e-16
+6 0 0 0 0 9 12 18 -4.44089209850063e-16
+6 0 0 0 0 9 12 19 -4.44089209850063e-16
+6 0 0 0 0 9 12 20 -4.44089209850063e-16
+6 0 0 0 0 9 12 21 -4.44089209850063e-16
+6 0 0 0 0 9 12 22 -4.44089209850063e-16
+6 0 0 0 0 9 12 23 -4.44089209850063e-16
+6 0 0 0 0 9 12 24 -4.44089209850063e-16
+6 0 0 0 0 9 12 25 -4.44089209850063e-16
+6 0 0 0 0 9 12 26 -4.44089209850063e-16
+6 0 0 0 0 9 12 27 -4.44089209850063e-16
+6 0 0 0 0 9 12 28 -4.44089209850063e-16
+6 0 0 0 0 9 12 29 -4.44089209850063e-16
+6 0 0 0 0 9 12 30 -4.44089209850063e-16
+6 0 0 0 0 9 12 31 -4.44089209850063e-16
+6 0 0 0 0 9 12 32 -4.44089209850063e-16
+6 0 0 0 0 9 12 33 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_z.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_z.xl
new file mode 100644
index 000000000..ec487ca98
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_z.xl
@@ -0,0 +1,170 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 0
+0 0 0 0 0 1 12 16 0
+0 0 0 0 0 2 12 16 0
+0 0 0 0 0 3 12 16 0
+0 0 0 0 0 4 12 16 0
+0 0 0 0 0 5 12 16 0
+0 0 0 0 0 6 12 16 0
+0 0 0 0 0 7 12 16 0
+0 0 0 0 0 8 12 16 0
+0 0 0 0 0 9 12 16 0
+0 0 0 0 0 10 12 16 0
+0 0 0 0 0 11 12 16 0
+0 0 0 0 0 12 12 16 0
+0 0 0 0 0 13 12 16 0
+0 0 0 0 0 14 12 16 0
+0 0 0 0 0 15 12 16 0
+0 0 0 0 0 16 12 16 0
+0 0 0 0 0 17 12 16 0
+0 0 0 0 0 18 12 16 0
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 0
+1 0 0 0 0 1 12 16 0
+1 0 0 0 0 2 12 16 0
+1 0 0 0 0 3 12 16 0
+1 0 0 0 0 4 12 16 0
+1 0 0 0 0 5 12 16 0
+1 0 0 0 0 6 12 16 0
+1 0 0 0 0 7 12 16 0
+1 0 0 0 0 8 12 16 0
+1 0 0 0 0 9 12 16 0
+1 0 0 0 0 10 12 16 0
+1 0 0 0 0 11 12 16 0
+1 0 0 0 0 12 12 16 0
+1 0 0 0 0 13 12 16 0
+1 0 0 0 0 14 12 16 0
+1 0 0 0 0 15 12 16 0
+1 0 0 0 0 16 12 16 0
+1 0 0 0 0 17 12 16 0
+1 0 0 0 0 18 12 16 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 0
+2 0 0 0 0 1 12 16 0
+2 0 0 0 0 2 12 16 0
+2 0 0 0 0 3 12 16 0
+2 0 0 0 0 4 12 16 0
+2 0 0 0 0 5 12 16 0
+2 0 0 0 0 6 12 16 0
+2 0 0 0 0 7 12 16 0
+2 0 0 0 0 8 12 16 0
+2 0 0 0 0 9 12 16 0
+2 0 0 0 0 10 12 16 0
+2 0 0 0 0 11 12 16 0
+2 0 0 0 0 12 12 16 0
+2 0 0 0 0 13 12 16 0
+2 0 0 0 0 14 12 16 0
+2 0 0 0 0 15 12 16 0
+2 0 0 0 0 16 12 16 0
+2 0 0 0 0 17 12 16 0
+2 0 0 0 0 18 12 16 0
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 0
+3 0 0 0 0 1 12 16 0
+3 0 0 0 0 2 12 16 0
+3 0 0 0 0 3 12 16 0
+3 0 0 0 0 4 12 16 0
+3 0 0 0 0 5 12 16 0
+3 0 0 0 0 6 12 16 0
+3 0 0 0 0 7 12 16 0
+3 0 0 0 0 8 12 16 0
+3 0 0 0 0 9 12 16 0
+3 0 0 0 0 10 12 16 0
+3 0 0 0 0 11 12 16 0
+3 0 0 0 0 12 12 16 0
+3 0 0 0 0 13 12 16 0
+3 0 0 0 0 14 12 16 0
+3 0 0 0 0 15 12 16 0
+3 0 0 0 0 16 12 16 0
+3 0 0 0 0 17 12 16 0
+3 0 0 0 0 18 12 16 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 0
+4 0 0 0 0 1 12 16 0
+4 0 0 0 0 2 12 16 0
+4 0 0 0 0 3 12 16 0
+4 0 0 0 0 4 12 16 0
+4 0 0 0 0 5 12 16 0
+4 0 0 0 0 6 12 16 0
+4 0 0 0 0 7 12 16 0
+4 0 0 0 0 8 12 16 0
+4 0 0 0 0 9 12 16 0
+4 0 0 0 0 10 12 16 0
+4 0 0 0 0 11 12 16 0
+4 0 0 0 0 12 12 16 0
+4 0 0 0 0 13 12 16 0
+4 0 0 0 0 14 12 16 0
+4 0 0 0 0 15 12 16 0
+4 0 0 0 0 16 12 16 0
+4 0 0 0 0 17 12 16 0
+4 0 0 0 0 18 12 16 0
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 0
+5 0 0 0 0 1 12 16 0
+5 0 0 0 0 2 12 16 0
+5 0 0 0 0 3 12 16 0
+5 0 0 0 0 4 12 16 0
+5 0 0 0 0 5 12 16 0
+5 0 0 0 0 6 12 16 0
+5 0 0 0 0 7 12 16 0
+5 0 0 0 0 8 12 16 0
+5 0 0 0 0 9 12 16 0
+5 0 0 0 0 10 12 16 0
+5 0 0 0 0 11 12 16 0
+5 0 0 0 0 12 12 16 0
+5 0 0 0 0 13 12 16 0
+5 0 0 0 0 14 12 16 0
+5 0 0 0 0 15 12 16 0
+5 0 0 0 0 16 12 16 0
+5 0 0 0 0 17 12 16 0
+5 0 0 0 0 18 12 16 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 0
+6 0 0 0 0 1 12 16 0
+6 0 0 0 0 2 12 16 0
+6 0 0 0 0 3 12 16 0
+6 0 0 0 0 4 12 16 0
+6 0 0 0 0 5 12 16 0
+6 0 0 0 0 6 12 16 0
+6 0 0 0 0 7 12 16 0
+6 0 0 0 0 8 12 16 0
+6 0 0 0 0 9 12 16 0
+6 0 0 0 0 10 12 16 0
+6 0 0 0 0 11 12 16 0
+6 0 0 0 0 12 12 16 0
+6 0 0 0 0 13 12 16 0
+6 0 0 0 0 14 12 16 0
+6 0 0 0 0 15 12 16 0
+6 0 0 0 0 16 12 16 0
+6 0 0 0 0 17 12 16 0
+6 0 0 0 0 18 12 16 0
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_z.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_z.yl
new file mode 100644
index 000000000..c52bfeb8e
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_z.yl
@@ -0,0 +1,219 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 0
+0 0 0 0 0 9 1 16 0
+0 0 0 0 0 9 2 16 0
+0 0 0 0 0 9 3 16 0
+0 0 0 0 0 9 4 16 0
+0 0 0 0 0 9 5 16 0
+0 0 0 0 0 9 6 16 0
+0 0 0 0 0 9 7 16 0
+0 0 0 0 0 9 8 16 0
+0 0 0 0 0 9 9 16 0
+0 0 0 0 0 9 10 16 0
+0 0 0 0 0 9 11 16 0
+0 0 0 0 0 9 12 16 0
+0 0 0 0 0 9 13 16 0
+0 0 0 0 0 9 14 16 0
+0 0 0 0 0 9 15 16 0
+0 0 0 0 0 9 16 16 0
+0 0 0 0 0 9 17 16 0
+0 0 0 0 0 9 18 16 0
+0 0 0 0 0 9 19 16 0
+0 0 0 0 0 9 20 16 0
+0 0 0 0 0 9 21 16 0
+0 0 0 0 0 9 22 16 0
+0 0 0 0 0 9 23 16 0
+0 0 0 0 0 9 24 16 0
+0 0 0 0 0 9 25 16 0
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 0
+1 0 0 0 0 9 1 16 0
+1 0 0 0 0 9 2 16 0
+1 0 0 0 0 9 3 16 0
+1 0 0 0 0 9 4 16 0
+1 0 0 0 0 9 5 16 0
+1 0 0 0 0 9 6 16 0
+1 0 0 0 0 9 7 16 0
+1 0 0 0 0 9 8 16 0
+1 0 0 0 0 9 9 16 0
+1 0 0 0 0 9 10 16 0
+1 0 0 0 0 9 11 16 0
+1 0 0 0 0 9 12 16 0
+1 0 0 0 0 9 13 16 0
+1 0 0 0 0 9 14 16 0
+1 0 0 0 0 9 15 16 0
+1 0 0 0 0 9 16 16 0
+1 0 0 0 0 9 17 16 0
+1 0 0 0 0 9 18 16 0
+1 0 0 0 0 9 19 16 0
+1 0 0 0 0 9 20 16 0
+1 0 0 0 0 9 21 16 0
+1 0 0 0 0 9 22 16 0
+1 0 0 0 0 9 23 16 0
+1 0 0 0 0 9 24 16 0
+1 0 0 0 0 9 25 16 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 0
+2 0 0 0 0 9 1 16 0
+2 0 0 0 0 9 2 16 0
+2 0 0 0 0 9 3 16 0
+2 0 0 0 0 9 4 16 0
+2 0 0 0 0 9 5 16 0
+2 0 0 0 0 9 6 16 0
+2 0 0 0 0 9 7 16 0
+2 0 0 0 0 9 8 16 0
+2 0 0 0 0 9 9 16 0
+2 0 0 0 0 9 10 16 0
+2 0 0 0 0 9 11 16 0
+2 0 0 0 0 9 12 16 0
+2 0 0 0 0 9 13 16 0
+2 0 0 0 0 9 14 16 0
+2 0 0 0 0 9 15 16 0
+2 0 0 0 0 9 16 16 0
+2 0 0 0 0 9 17 16 0
+2 0 0 0 0 9 18 16 0
+2 0 0 0 0 9 19 16 0
+2 0 0 0 0 9 20 16 0
+2 0 0 0 0 9 21 16 0
+2 0 0 0 0 9 22 16 0
+2 0 0 0 0 9 23 16 0
+2 0 0 0 0 9 24 16 0
+2 0 0 0 0 9 25 16 0
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 0
+3 0 0 0 0 9 1 16 0
+3 0 0 0 0 9 2 16 0
+3 0 0 0 0 9 3 16 0
+3 0 0 0 0 9 4 16 0
+3 0 0 0 0 9 5 16 0
+3 0 0 0 0 9 6 16 0
+3 0 0 0 0 9 7 16 0
+3 0 0 0 0 9 8 16 0
+3 0 0 0 0 9 9 16 0
+3 0 0 0 0 9 10 16 0
+3 0 0 0 0 9 11 16 0
+3 0 0 0 0 9 12 16 0
+3 0 0 0 0 9 13 16 0
+3 0 0 0 0 9 14 16 0
+3 0 0 0 0 9 15 16 0
+3 0 0 0 0 9 16 16 0
+3 0 0 0 0 9 17 16 0
+3 0 0 0 0 9 18 16 0
+3 0 0 0 0 9 19 16 0
+3 0 0 0 0 9 20 16 0
+3 0 0 0 0 9 21 16 0
+3 0 0 0 0 9 22 16 0
+3 0 0 0 0 9 23 16 0
+3 0 0 0 0 9 24 16 0
+3 0 0 0 0 9 25 16 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 0
+4 0 0 0 0 9 1 16 0
+4 0 0 0 0 9 2 16 0
+4 0 0 0 0 9 3 16 0
+4 0 0 0 0 9 4 16 0
+4 0 0 0 0 9 5 16 0
+4 0 0 0 0 9 6 16 0
+4 0 0 0 0 9 7 16 0
+4 0 0 0 0 9 8 16 0
+4 0 0 0 0 9 9 16 0
+4 0 0 0 0 9 10 16 0
+4 0 0 0 0 9 11 16 0
+4 0 0 0 0 9 12 16 0
+4 0 0 0 0 9 13 16 0
+4 0 0 0 0 9 14 16 0
+4 0 0 0 0 9 15 16 0
+4 0 0 0 0 9 16 16 0
+4 0 0 0 0 9 17 16 0
+4 0 0 0 0 9 18 16 0
+4 0 0 0 0 9 19 16 0
+4 0 0 0 0 9 20 16 0
+4 0 0 0 0 9 21 16 0
+4 0 0 0 0 9 22 16 0
+4 0 0 0 0 9 23 16 0
+4 0 0 0 0 9 24 16 0
+4 0 0 0 0 9 25 16 0
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 0
+5 0 0 0 0 9 1 16 0
+5 0 0 0 0 9 2 16 0
+5 0 0 0 0 9 3 16 0
+5 0 0 0 0 9 4 16 0
+5 0 0 0 0 9 5 16 0
+5 0 0 0 0 9 6 16 0
+5 0 0 0 0 9 7 16 0
+5 0 0 0 0 9 8 16 0
+5 0 0 0 0 9 9 16 0
+5 0 0 0 0 9 10 16 0
+5 0 0 0 0 9 11 16 0
+5 0 0 0 0 9 12 16 0
+5 0 0 0 0 9 13 16 0
+5 0 0 0 0 9 14 16 0
+5 0 0 0 0 9 15 16 0
+5 0 0 0 0 9 16 16 0
+5 0 0 0 0 9 17 16 0
+5 0 0 0 0 9 18 16 0
+5 0 0 0 0 9 19 16 0
+5 0 0 0 0 9 20 16 0
+5 0 0 0 0 9 21 16 0
+5 0 0 0 0 9 22 16 0
+5 0 0 0 0 9 23 16 0
+5 0 0 0 0 9 24 16 0
+5 0 0 0 0 9 25 16 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 0
+6 0 0 0 0 9 1 16 0
+6 0 0 0 0 9 2 16 0
+6 0 0 0 0 9 3 16 0
+6 0 0 0 0 9 4 16 0
+6 0 0 0 0 9 5 16 0
+6 0 0 0 0 9 6 16 0
+6 0 0 0 0 9 7 16 0
+6 0 0 0 0 9 8 16 0
+6 0 0 0 0 9 9 16 0
+6 0 0 0 0 9 10 16 0
+6 0 0 0 0 9 11 16 0
+6 0 0 0 0 9 12 16 0
+6 0 0 0 0 9 13 16 0
+6 0 0 0 0 9 14 16 0
+6 0 0 0 0 9 15 16 0
+6 0 0 0 0 9 16 16 0
+6 0 0 0 0 9 17 16 0
+6 0 0 0 0 9 18 16 0
+6 0 0 0 0 9 19 16 0
+6 0 0 0 0 9 20 16 0
+6 0 0 0 0 9 21 16 0
+6 0 0 0 0 9 22 16 0
+6 0 0 0 0 9 23 16 0
+6 0 0 0 0 9 24 16 0
+6 0 0 0 0 9 25 16 0
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_z.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_z.zl
new file mode 100644
index 000000000..53d0c0b35
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/cart3d_z.zl
@@ -0,0 +1,275 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 -9.6
+0 0 0 0 0 9 12 1 -9
+0 0 0 0 0 9 12 2 -8.4
+0 0 0 0 0 9 12 3 -7.8
+0 0 0 0 0 9 12 4 -7.2
+0 0 0 0 0 9 12 5 -6.6
+0 0 0 0 0 9 12 6 -6
+0 0 0 0 0 9 12 7 -5.4
+0 0 0 0 0 9 12 8 -4.8
+0 0 0 0 0 9 12 9 -4.2
+0 0 0 0 0 9 12 10 -3.6
+0 0 0 0 0 9 12 11 -3
+0 0 0 0 0 9 12 12 -2.4
+0 0 0 0 0 9 12 13 -1.8
+0 0 0 0 0 9 12 14 -1.2
+0 0 0 0 0 9 12 15 -0.6
+0 0 0 0 0 9 12 16 0
+0 0 0 0 0 9 12 17 0.6
+0 0 0 0 0 9 12 18 1.2
+0 0 0 0 0 9 12 19 1.8
+0 0 0 0 0 9 12 20 2.4
+0 0 0 0 0 9 12 21 3
+0 0 0 0 0 9 12 22 3.6
+0 0 0 0 0 9 12 23 4.2
+0 0 0 0 0 9 12 24 4.8
+0 0 0 0 0 9 12 25 5.4
+0 0 0 0 0 9 12 26 6
+0 0 0 0 0 9 12 27 6.6
+0 0 0 0 0 9 12 28 7.2
+0 0 0 0 0 9 12 29 7.8
+0 0 0 0 0 9 12 30 8.4
+0 0 0 0 0 9 12 31 9
+0 0 0 0 0 9 12 32 9.6
+0 0 0 0 0 9 12 33 10.2
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 -9.6
+1 0 0 0 0 9 12 1 -9
+1 0 0 0 0 9 12 2 -8.4
+1 0 0 0 0 9 12 3 -7.8
+1 0 0 0 0 9 12 4 -7.2
+1 0 0 0 0 9 12 5 -6.6
+1 0 0 0 0 9 12 6 -6
+1 0 0 0 0 9 12 7 -5.4
+1 0 0 0 0 9 12 8 -4.8
+1 0 0 0 0 9 12 9 -4.2
+1 0 0 0 0 9 12 10 -3.6
+1 0 0 0 0 9 12 11 -3
+1 0 0 0 0 9 12 12 -2.4
+1 0 0 0 0 9 12 13 -1.8
+1 0 0 0 0 9 12 14 -1.2
+1 0 0 0 0 9 12 15 -0.6
+1 0 0 0 0 9 12 16 0
+1 0 0 0 0 9 12 17 0.6
+1 0 0 0 0 9 12 18 1.2
+1 0 0 0 0 9 12 19 1.8
+1 0 0 0 0 9 12 20 2.4
+1 0 0 0 0 9 12 21 3
+1 0 0 0 0 9 12 22 3.6
+1 0 0 0 0 9 12 23 4.2
+1 0 0 0 0 9 12 24 4.8
+1 0 0 0 0 9 12 25 5.4
+1 0 0 0 0 9 12 26 6
+1 0 0 0 0 9 12 27 6.6
+1 0 0 0 0 9 12 28 7.2
+1 0 0 0 0 9 12 29 7.8
+1 0 0 0 0 9 12 30 8.4
+1 0 0 0 0 9 12 31 9
+1 0 0 0 0 9 12 32 9.6
+1 0 0 0 0 9 12 33 10.2
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 -9.6
+2 0 0 0 0 9 12 1 -9
+2 0 0 0 0 9 12 2 -8.4
+2 0 0 0 0 9 12 3 -7.8
+2 0 0 0 0 9 12 4 -7.2
+2 0 0 0 0 9 12 5 -6.6
+2 0 0 0 0 9 12 6 -6
+2 0 0 0 0 9 12 7 -5.4
+2 0 0 0 0 9 12 8 -4.8
+2 0 0 0 0 9 12 9 -4.2
+2 0 0 0 0 9 12 10 -3.6
+2 0 0 0 0 9 12 11 -3
+2 0 0 0 0 9 12 12 -2.4
+2 0 0 0 0 9 12 13 -1.8
+2 0 0 0 0 9 12 14 -1.2
+2 0 0 0 0 9 12 15 -0.6
+2 0 0 0 0 9 12 16 0
+2 0 0 0 0 9 12 17 0.6
+2 0 0 0 0 9 12 18 1.2
+2 0 0 0 0 9 12 19 1.8
+2 0 0 0 0 9 12 20 2.4
+2 0 0 0 0 9 12 21 3
+2 0 0 0 0 9 12 22 3.6
+2 0 0 0 0 9 12 23 4.2
+2 0 0 0 0 9 12 24 4.8
+2 0 0 0 0 9 12 25 5.4
+2 0 0 0 0 9 12 26 6
+2 0 0 0 0 9 12 27 6.6
+2 0 0 0 0 9 12 28 7.2
+2 0 0 0 0 9 12 29 7.8
+2 0 0 0 0 9 12 30 8.4
+2 0 0 0 0 9 12 31 9
+2 0 0 0 0 9 12 32 9.6
+2 0 0 0 0 9 12 33 10.2
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 -9.6
+3 0 0 0 0 9 12 1 -9
+3 0 0 0 0 9 12 2 -8.4
+3 0 0 0 0 9 12 3 -7.8
+3 0 0 0 0 9 12 4 -7.2
+3 0 0 0 0 9 12 5 -6.6
+3 0 0 0 0 9 12 6 -6
+3 0 0 0 0 9 12 7 -5.4
+3 0 0 0 0 9 12 8 -4.8
+3 0 0 0 0 9 12 9 -4.2
+3 0 0 0 0 9 12 10 -3.6
+3 0 0 0 0 9 12 11 -3
+3 0 0 0 0 9 12 12 -2.4
+3 0 0 0 0 9 12 13 -1.8
+3 0 0 0 0 9 12 14 -1.2
+3 0 0 0 0 9 12 15 -0.6
+3 0 0 0 0 9 12 16 0
+3 0 0 0 0 9 12 17 0.6
+3 0 0 0 0 9 12 18 1.2
+3 0 0 0 0 9 12 19 1.8
+3 0 0 0 0 9 12 20 2.4
+3 0 0 0 0 9 12 21 3
+3 0 0 0 0 9 12 22 3.6
+3 0 0 0 0 9 12 23 4.2
+3 0 0 0 0 9 12 24 4.8
+3 0 0 0 0 9 12 25 5.4
+3 0 0 0 0 9 12 26 6
+3 0 0 0 0 9 12 27 6.6
+3 0 0 0 0 9 12 28 7.2
+3 0 0 0 0 9 12 29 7.8
+3 0 0 0 0 9 12 30 8.4
+3 0 0 0 0 9 12 31 9
+3 0 0 0 0 9 12 32 9.6
+3 0 0 0 0 9 12 33 10.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 -9.6
+4 0 0 0 0 9 12 1 -9
+4 0 0 0 0 9 12 2 -8.4
+4 0 0 0 0 9 12 3 -7.8
+4 0 0 0 0 9 12 4 -7.2
+4 0 0 0 0 9 12 5 -6.6
+4 0 0 0 0 9 12 6 -6
+4 0 0 0 0 9 12 7 -5.4
+4 0 0 0 0 9 12 8 -4.8
+4 0 0 0 0 9 12 9 -4.2
+4 0 0 0 0 9 12 10 -3.6
+4 0 0 0 0 9 12 11 -3
+4 0 0 0 0 9 12 12 -2.4
+4 0 0 0 0 9 12 13 -1.8
+4 0 0 0 0 9 12 14 -1.2
+4 0 0 0 0 9 12 15 -0.6
+4 0 0 0 0 9 12 16 0
+4 0 0 0 0 9 12 17 0.6
+4 0 0 0 0 9 12 18 1.2
+4 0 0 0 0 9 12 19 1.8
+4 0 0 0 0 9 12 20 2.4
+4 0 0 0 0 9 12 21 3
+4 0 0 0 0 9 12 22 3.6
+4 0 0 0 0 9 12 23 4.2
+4 0 0 0 0 9 12 24 4.8
+4 0 0 0 0 9 12 25 5.4
+4 0 0 0 0 9 12 26 6
+4 0 0 0 0 9 12 27 6.6
+4 0 0 0 0 9 12 28 7.2
+4 0 0 0 0 9 12 29 7.8
+4 0 0 0 0 9 12 30 8.4
+4 0 0 0 0 9 12 31 9
+4 0 0 0 0 9 12 32 9.6
+4 0 0 0 0 9 12 33 10.2
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 -9.6
+5 0 0 0 0 9 12 1 -9
+5 0 0 0 0 9 12 2 -8.4
+5 0 0 0 0 9 12 3 -7.8
+5 0 0 0 0 9 12 4 -7.2
+5 0 0 0 0 9 12 5 -6.6
+5 0 0 0 0 9 12 6 -6
+5 0 0 0 0 9 12 7 -5.4
+5 0 0 0 0 9 12 8 -4.8
+5 0 0 0 0 9 12 9 -4.2
+5 0 0 0 0 9 12 10 -3.6
+5 0 0 0 0 9 12 11 -3
+5 0 0 0 0 9 12 12 -2.4
+5 0 0 0 0 9 12 13 -1.8
+5 0 0 0 0 9 12 14 -1.2
+5 0 0 0 0 9 12 15 -0.6
+5 0 0 0 0 9 12 16 0
+5 0 0 0 0 9 12 17 0.6
+5 0 0 0 0 9 12 18 1.2
+5 0 0 0 0 9 12 19 1.8
+5 0 0 0 0 9 12 20 2.4
+5 0 0 0 0 9 12 21 3
+5 0 0 0 0 9 12 22 3.6
+5 0 0 0 0 9 12 23 4.2
+5 0 0 0 0 9 12 24 4.8
+5 0 0 0 0 9 12 25 5.4
+5 0 0 0 0 9 12 26 6
+5 0 0 0 0 9 12 27 6.6
+5 0 0 0 0 9 12 28 7.2
+5 0 0 0 0 9 12 29 7.8
+5 0 0 0 0 9 12 30 8.4
+5 0 0 0 0 9 12 31 9
+5 0 0 0 0 9 12 32 9.6
+5 0 0 0 0 9 12 33 10.2
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 -9.6
+6 0 0 0 0 9 12 1 -9
+6 0 0 0 0 9 12 2 -8.4
+6 0 0 0 0 9 12 3 -7.8
+6 0 0 0 0 9 12 4 -7.2
+6 0 0 0 0 9 12 5 -6.6
+6 0 0 0 0 9 12 6 -6
+6 0 0 0 0 9 12 7 -5.4
+6 0 0 0 0 9 12 8 -4.8
+6 0 0 0 0 9 12 9 -4.2
+6 0 0 0 0 9 12 10 -3.6
+6 0 0 0 0 9 12 11 -3
+6 0 0 0 0 9 12 12 -2.4
+6 0 0 0 0 9 12 13 -1.8
+6 0 0 0 0 9 12 14 -1.2
+6 0 0 0 0 9 12 15 -0.6
+6 0 0 0 0 9 12 16 0
+6 0 0 0 0 9 12 17 0.6
+6 0 0 0 0 9 12 18 1.2
+6 0 0 0 0 9 12 19 1.8
+6 0 0 0 0 9 12 20 2.4
+6 0 0 0 0 9 12 21 3
+6 0 0 0 0 9 12 22 3.6
+6 0 0 0 0 9 12 23 4.2
+6 0 0 0 0 9 12 24 4.8
+6 0 0 0 0 9 12 25 5.4
+6 0 0 0 0 9 12 26 6
+6 0 0 0 0 9 12 27 6.6
+6 0 0 0 0 9 12 28 7.2
+6 0 0 0 0 9 12 29 7.8
+6 0 0 0 0 9 12 30 8.4
+6 0 0 0 0 9 12 31 9
+6 0 0 0 0 9 12 32 9.6
+6 0 0 0 0 9 12 33 10.2
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/phi.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/phi.xl
new file mode 100644
index 000000000..c975897b2
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/phi.xl
@@ -0,0 +1,170 @@
+# WAVETOY::phi x (phi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 -0.809016994374946
+0 0 0 0 0 1 12 16 -0.978147600733805
+0 0 0 0 0 2 12 16 -0.978147600733805
+0 0 0 0 0 3 12 16 -0.809016994374946
+0 0 0 0 0 4 12 16 -0.499999999999998
+0 0 0 0 0 5 12 16 -0.104528463267652
+0 0 0 0 0 6 12 16 0.309016994374949
+0 0 0 0 0 7 12 16 0.669130606358859
+0 0 0 0 0 8 12 16 0.913545457642601
+0 0 0 0 0 9 12 16 1
+0 0 0 0 0 10 12 16 0.913545457642601
+0 0 0 0 0 11 12 16 0.669130606358859
+0 0 0 0 0 12 12 16 0.309016994374949
+0 0 0 0 0 13 12 16 -0.104528463267652
+0 0 0 0 0 14 12 16 -0.499999999999998
+0 0 0 0 0 15 12 16 -0.809016994374946
+0 0 0 0 0 16 12 16 -0.978147600733805
+0 0 0 0 0 17 12 16 -0.978147600733805
+0 0 0 0 0 18 12 16 -0.809016994374946
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 -0.955842350449065
+1 0 0 0 0 1 12 16 -0.993315939157588
+1 0 0 0 0 2 12 16 -0.85903617799375
+1 0 0 0 0 3 12 16 -0.576221257556116
+1 0 0 0 0 4 12 16 -0.193772446881243
+1 0 0 0 0 5 12 16 0.222181380226812
+1 0 0 0 0 6 12 16 0.599718028239179
+1 0 0 0 0 7 12 16 0.873557980901746
+1 0 0 0 0 8 12 16 0.996351822641285
+1 0 0 0 0 9 12 16 0.946867382673999
+1 0 0 0 0 10 12 16 0.733660970222255
+1 0 0 0 0 11 12 16 0.393597910918411
+1 0 0 0 0 12 12 16 -0.0145218029079922
+1 0 0 0 0 13 12 16 -0.420130565085166
+1 0 0 0 0 14 12 16 -0.753094935792752
+1 0 0 0 0 15 12 16 -0.955842350449065
+1 0 0 0 0 16 12 16 -0.993315939157588
+1 0 0 0 0 17 12 16 -0.85903617799375
+1 0 0 0 0 18 12 16 -0.576221257556116
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 -1.00067162789428
+2 0 0 0 0 1 12 16 -0.902489465166893
+2 0 0 0 0 2 12 16 -0.648258675052749
+2 0 0 0 0 3 12 16 -0.281938070776809
+2 0 0 0 0 4 12 16 0.133132187263405
+2 0 0 0 0 5 12 16 0.525182680657824
+2 0 0 0 0 6 12 16 0.826424317431636
+2 0 0 0 0 7 12 16 0.984769681892292
+2 0 0 0 0 8 12 16 0.972839422002068
+2 0 0 0 0 9 12 16 0.792696388078995
+2 0 0 0 0 10 12 16 0.475488947236456
+2 0 0 0 0 11 12 16 0.0760651477352583
+2 0 0 0 0 12 12 16 -0.336511006839538
+2 0 0 0 0 13 12 16 -0.690901351225255
+2 0 0 0 0 14 12 16 -0.925828575342397
+2 0 0 0 0 15 12 16 -1.00067162789428
+2 0 0 0 0 16 12 16 -0.902489465166893
+2 0 0 0 0 17 12 16 -0.648258675052749
+2 0 0 0 0 18 12 16 -0.281938070776809
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 -0.93872118168269
+3 0 0 0 0 1 12 16 -0.715360095193742
+3 0 0 0 0 2 12 16 -0.368306749403354
+3 0 0 0 0 3 12 16 0.0424301793206506
+3 0 0 0 0 4 12 16 0.445830544574036
+3 0 0 0 0 5 12 16 0.772142758427225
+3 0 0 0 0 6 12 16 0.964944474651603
+3 0 0 0 0 7 12 16 0.990898524963371
+3 0 0 0 0 8 12 16 0.845517218278479
+3 0 0 0 0 9 12 16 0.553938303270454
+3 0 0 0 0 10 12 16 0.166578423255466
+3 0 0 0 0 11 12 16 -0.249584379457859
+3 0 0 0 0 12 12 16 -0.622591775560014
+3 0 0 0 0 13 12 16 -0.887947397599127
+3 0 0 0 0 14 12 16 -0.999768847844488
+3 0 0 0 0 15 12 16 -0.93872118168269
+3 0 0 0 0 16 12 16 -0.715360095193742
+3 0 0 0 0 17 12 16 -0.368306749403354
+3 0 0 0 0 18 12 16 0.0424301793206506
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 -0.776601623470001
+4 0 0 0 0 1 12 16 -0.451896040444297
+4 0 0 0 0 2 12 16 -0.0490535266791296
+4 0 0 0 0 3 12 16 0.36227078748616
+4 0 0 0 0 4 12 16 0.710955191368307
+4 0 0 0 0 5 12 16 0.936708983837726
+4 0 0 0 0 6 12 16 1.00049728326764
+4 0 0 0 0 7 12 16 0.891290513188097
+4 0 0 0 0 8 12 16 0.627971516258222
+4 0 0 0 0 9 12 16 0.256070539225173
+4 0 0 0 0 10 12 16 -0.160107360367724
+4 0 0 0 0 11 12 16 -0.548601242823337
+4 0 0 0 0 12 12 16 -0.842236986508965
+4 0 0 0 0 13 12 16 -0.990242303744379
+4 0 0 0 0 14 12 16 -0.967025730593479
+4 0 0 0 0 15 12 16 -0.776601623470001
+4 0 0 0 0 16 12 16 -0.451896040444297
+4 0 0 0 0 17 12 16 -0.0490535266791296
+4 0 0 0 0 18 12 16 0.36227078748616
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 -0.531612416079739
+5 0 0 0 0 1 12 16 -0.140211037908229
+5 0 0 0 0 2 12 16 0.275434102494902
+5 0 0 0 0 3 12 16 0.643454184336399
+5 0 0 0 0 4 12 16 0.900215192108381
+5 0 0 0 0 5 12 16 1.00132081496655
+5 0 0 0 0 6 12 16 0.929288972202972
+5 0 0 0 0 7 12 16 0.696574623820226
+5 0 0 0 0 8 12 16 0.34341619479717
+5 0 0 0 0 9 12 16 -0.0691220141445039
+5 0 0 0 0 10 12 16 -0.469708398886808
+5 0 0 0 0 11 12 16 -0.789077934294741
+5 0 0 0 0 12 12 16 -0.972008726315126
+5 0 0 0 0 13 12 16 -0.986870379133567
+5 0 0 0 0 14 12 16 -0.831093177963877
+5 0 0 0 0 15 12 16 -0.531612416079739
+5 0 0 0 0 16 12 16 -0.140211037908229
+5 0 0 0 0 17 12 16 0.275434102494902
+5 0 0 0 0 18 12 16 0.643454184336399
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 -0.229895881463289
+6 0 0 0 0 1 12 16 0.186435611849694
+6 0 0 0 0 2 12 16 0.570530694159502
+6 0 0 0 0 3 12 16 0.855975836340492
+6 0 0 0 0 4 12 16 0.993414980121865
+6 0 0 0 0 5 12 16 0.959083648948396
+6 0 0 0 0 6 12 16 0.758918041870331
+6 0 0 0 0 7 12 16 0.427528610798921
+6 0 0 0 0 8 12 16 0.0222155989448799
+6 0 0 0 0 9 12 16 -0.386938691789111
+6 0 0 0 0 10 12 16 -0.729187767485106
+6 0 0 0 0 11 12 16 -0.945353653720023
+6 0 0 0 0 12 12 16 -0.998059304958422
+6 0 0 0 0 13 12 16 -0.878191435285373
+6 0 0 0 0 14 12 16 -0.606476288332754
+6 0 0 0 0 15 12 16 -0.229895881463289
+6 0 0 0 0 16 12 16 0.186435611849694
+6 0 0 0 0 17 12 16 0.570530694159502
+6 0 0 0 0 18 12 16 0.855975836340492
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/phi.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/phi.yl
new file mode 100644
index 000000000..a1ea63dfb
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/phi.yl
@@ -0,0 +1,219 @@
+# WAVETOY::phi y (phi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 -0.9594929736145
+0 0 0 0 0 9 1 16 -1
+0 0 0 0 0 9 2 16 -0.9594929736145
+0 0 0 0 0 9 3 16 -0.841253532831185
+0 0 0 0 0 9 4 16 -0.65486073394529
+0 0 0 0 0 9 5 16 -0.415415013001892
+0 0 0 0 0 9 6 16 -0.14231483827329
+0 0 0 0 0 9 7 16 0.142314838273281
+0 0 0 0 0 9 8 16 0.415415013001883
+0 0 0 0 0 9 9 16 0.654860733945283
+0 0 0 0 0 9 10 16 0.84125353283118
+0 0 0 0 0 9 11 16 0.959492973614497
+0 0 0 0 0 9 12 16 1
+0 0 0 0 0 9 13 16 0.959492973614497
+0 0 0 0 0 9 14 16 0.84125353283118
+0 0 0 0 0 9 15 16 0.654860733945283
+0 0 0 0 0 9 16 16 0.415415013001883
+0 0 0 0 0 9 17 16 0.142314838273281
+0 0 0 0 0 9 18 16 -0.142314838273291
+0 0 0 0 0 9 19 16 -0.415415013001892
+0 0 0 0 0 9 20 16 -0.65486073394529
+0 0 0 0 0 9 21 16 -0.841253532831186
+0 0 0 0 0 9 22 16 -0.9594929736145
+0 0 0 0 0 9 23 16 -1
+0 0 0 0 0 9 24 16 -0.9594929736145
+0 0 0 0 0 9 25 16 -0.841253532831185
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 -0.999491083590665
+1 0 0 0 0 9 1 16 -0.946867382673997
+1 0 0 0 0 9 2 16 -0.817534117650241
+1 0 0 0 0 9 3 16 -0.621969100477067
+1 0 0 0 0 9 4 16 -0.376015845775909
+1 0 0 0 0 9 5 16 -0.0996000235023264
+1 0 0 0 0 9 6 16 0.184884800331267
+1 0 0 0 0 9 7 16 0.454391357194266
+1 0 0 0 0 9 8 16 0.68708582866684
+1 0 0 0 0 9 9 16 0.864116692557588
+1 0 0 0 0 9 10 16 0.971141961117169
+1 0 0 0 0 9 11 16 0.999491083590666
+1 0 0 0 0 9 12 16 0.946867382673999
+1 0 0 0 0 9 13 16 0.817534117650236
+1 0 0 0 0 9 14 16 0.62196910047706
+1 0 0 0 0 9 15 16 0.3760158457759
+1 0 0 0 0 9 16 16 0.0996000235023168
+1 0 0 0 0 9 17 16 -0.184884800331276
+1 0 0 0 0 9 18 16 -0.454391357194275
+1 0 0 0 0 9 19 16 -0.687085828666847
+1 0 0 0 0 9 20 16 -0.864116692557593
+1 0 0 0 0 9 21 16 -0.971141961117171
+1 0 0 0 0 9 22 16 -0.999491083590665
+1 0 0 0 0 9 23 16 -0.946867382673997
+1 0 0 0 0 9 24 16 -0.817534117650241
+1 0 0 0 0 9 25 16 -0.621969100477067
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 -0.932835443497159
+2 0 0 0 0 9 1 16 -0.792696388078993
+2 0 0 0 0 9 2 16 -0.588337785645617
+2 0 0 0 0 9 3 16 -0.336315554798765
+2 0 0 0 0 9 4 16 -0.0570470378477346
+2 0 0 0 0 9 5 16 0.226843090837922
+2 0 0 0 0 9 6 16 0.492355741391697
+2 0 0 0 0 9 7 16 0.717980657930257
+2 0 0 0 0 9 8 16 0.885439051558694
+2 0 0 0 0 9 9 16 0.981164439138646
+2 0 0 0 0 9 10 16 0.997401719069185
+2 0 0 0 0 9 11 16 0.932835443497162
+2 0 0 0 0 9 12 16 0.792696388078995
+2 0 0 0 0 9 13 16 0.58833778564561
+2 0 0 0 0 9 14 16 0.336315554798756
+2 0 0 0 0 9 15 16 0.057047037847725
+2 0 0 0 0 9 16 16 -0.226843090837931
+2 0 0 0 0 9 17 16 -0.492355741391705
+2 0 0 0 0 9 18 16 -0.717980657930264
+2 0 0 0 0 9 19 16 -0.885439051558699
+2 0 0 0 0 9 20 16 -0.981164439138648
+2 0 0 0 0 9 21 16 -0.997401719069184
+2 0 0 0 0 9 22 16 -0.932835443497159
+2 0 0 0 0 9 23 16 -0.792696388078993
+2 0 0 0 0 9 24 16 -0.588337785645617
+2 0 0 0 0 9 25 16 -0.336315554798765
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 -0.766638747079809
+3 0 0 0 0 9 1 16 -0.553938303270455
+3 0 0 0 0 9 2 16 -0.296361072528066
+3 0 0 0 0 9 3 16 -0.0147744302166163
+3 0 0 0 0 9 4 16 0.268009148564067
+3 0 0 0 0 9 5 16 0.529080220039869
+3 0 0 0 0 9 6 16 0.747288358649266
+3 0 0 0 0 9 7 16 0.904955638735893
+3 0 0 0 0 9 8 16 0.989308794950551
+3 0 0 0 0 9 9 16 0.993514036244265
+3 0 0 0 0 9 10 16 0.917230678976951
+3 0 0 0 0 9 11 16 0.766638747079813
+3 0 0 0 0 9 12 16 0.553938303270454
+3 0 0 0 0 9 13 16 0.29636107252806
+3 0 0 0 0 9 14 16 0.0147744302166068
+3 0 0 0 0 9 15 16 -0.268009148564076
+3 0 0 0 0 9 16 16 -0.529080220039877
+3 0 0 0 0 9 17 16 -0.747288358649272
+3 0 0 0 0 9 18 16 -0.904955638735897
+3 0 0 0 0 9 19 16 -0.989308794950552
+3 0 0 0 0 9 20 16 -0.993514036244264
+3 0 0 0 0 9 21 16 -0.917230678976947
+3 0 0 0 0 9 22 16 -0.766638747079809
+3 0 0 0 0 9 23 16 -0.553938303270455
+3 0 0 0 0 9 24 16 -0.296361072528066
+3 0 0 0 0 9 25 16 -0.0147744302166163
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 -0.51863552065217
+4 0 0 0 0 9 1 16 -0.256070539225176
+4 0 0 0 0 9 2 16 0.0272397543797119
+4 0 0 0 0 9 3 16 0.30834324508581
+4 0 0 0 0 9 4 16 0.564466599862946
+4 0 0 0 0 9 5 16 0.774860227731316
+4 0 0 0 0 9 6 16 0.922479288220108
+4 0 0 0 0 9 7 16 0.995364562972877
+4 0 0 0 0 9 8 16 0.987611320494572
+4 0 0 0 0 9 9 16 0.899847682380477
+4 0 0 0 0 9 10 16 0.739183736640142
+4 0 0 0 0 9 11 16 0.518635520652174
+4 0 0 0 0 9 12 16 0.256070539225173
+4 0 0 0 0 9 13 16 -0.027239754379716
+4 0 0 0 0 9 14 16 -0.308343245085818
+4 0 0 0 0 9 15 16 -0.564466599862954
+4 0 0 0 0 9 16 16 -0.774860227731322
+4 0 0 0 0 9 17 16 -0.922479288220112
+4 0 0 0 0 9 18 16 -0.995364562972878
+4 0 0 0 0 9 19 16 -0.98761132049457
+4 0 0 0 0 9 20 16 -0.899847682380473
+4 0 0 0 0 9 21 16 -0.739183736640137
+4 0 0 0 0 9 22 16 -0.51863552065217
+4 0 0 0 0 9 23 16 -0.256070539225176
+4 0 0 0 0 9 24 16 0.0272397543797119
+4 0 0 0 0 9 25 16 0.30834324508581
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 -0.2152897062765
+5 0 0 0 0 9 1 16 0.0691220141445007
+5 0 0 0 0 9 2 16 0.347933880063966
+5 0 0 0 0 9 3 16 0.598558212263106
+5 0 0 0 0 9 4 16 0.800690917867445
+5 0 0 0 0 9 5 16 0.937956407198408
+5 0 0 0 0 9 6 16 0.999234246659697
+5 0 0 0 0 9 7 16 0.9795600701315
+5 0 0 0 0 9 8 16 0.880527762389301
+5 0 0 0 0 9 9 16 0.710160332038559
+5 0 0 0 0 9 10 16 0.48225993507217
+5 0 0 0 0 9 11 16 0.215289706276502
+5 0 0 0 0 9 12 16 -0.0691220141445039
+5 0 0 0 0 9 13 16 -0.347933880063969
+5 0 0 0 0 9 14 16 -0.598558212263111
+5 0 0 0 0 9 15 16 -0.800690917867451
+5 0 0 0 0 9 16 16 -0.937956407198411
+5 0 0 0 0 9 17 16 -0.999234246659697
+5 0 0 0 0 9 18 16 -0.979560070131498
+5 0 0 0 0 9 19 16 -0.880527762389296
+5 0 0 0 0 9 20 16 -0.710160332038552
+5 0 0 0 0 9 21 16 -0.482259935072163
+5 0 0 0 0 9 22 16 -0.2152897062765
+5 0 0 0 0 9 23 16 0.0691220141445007
+5 0 0 0 0 9 24 16 0.347933880063966
+5 0 0 0 0 9 25 16 0.598558212263106
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 0.111029254035898
+6 0 0 0 0 9 1 16 0.386938691789109
+6 0 0 0 0 9 2 16 0.631500657946575
+6 0 0 0 0 9 3 16 0.824902196476233
+6 0 0 0 0 9 4 16 0.951475064929645
+6 0 0 0 0 9 5 16 1.00096508226255
+6 0 0 0 0 9 6 16 0.969362861599109
+6 0 0 0 0 9 7 16 0.859228626911823
+6 0 0 0 0 9 8 16 0.679484798901543
+6 0 0 0 0 9 9 16 0.444693153535957
+6 0 0 0 0 9 10 16 0.173875113562904
+6 0 0 0 0 9 11 16 -0.111029254035898
+6 0 0 0 0 9 12 16 -0.386938691789111
+6 0 0 0 0 9 13 16 -0.631500657946577
+6 0 0 0 0 9 14 16 -0.824902196476234
+6 0 0 0 0 9 15 16 -0.951475064929647
+6 0 0 0 0 9 16 16 -1.00096508226255
+6 0 0 0 0 9 17 16 -0.969362861599107
+6 0 0 0 0 9 18 16 -0.859228626911818
+6 0 0 0 0 9 19 16 -0.679484798901536
+6 0 0 0 0 9 20 16 -0.444693153535949
+6 0 0 0 0 9 21 16 -0.173875113562899
+6 0 0 0 0 9 22 16 0.111029254035898
+6 0 0 0 0 9 23 16 0.386938691789109
+6 0 0 0 0 9 24 16 0.631500657946575
+6 0 0 0 0 9 25 16 0.824902196476233
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/phi.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/phi.zl
new file mode 100644
index 000000000..75777a0bd
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/phi.zl
@@ -0,0 +1,275 @@
+# WAVETOY::phi z (phi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 0.913545457642598
+0 0 0 0 0 9 12 1 1
+0 0 0 0 0 9 12 2 0.913545457642598
+0 0 0 0 0 9 12 3 0.669130606358854
+0 0 0 0 0 9 12 4 0.309016994374941
+0 0 0 0 0 9 12 5 -0.104528463267659
+0 0 0 0 0 9 12 6 -0.500000000000004
+0 0 0 0 0 9 12 7 -0.80901699437495
+0 0 0 0 0 9 12 8 -0.978147600733806
+0 0 0 0 0 9 12 9 -0.978147600733805
+0 0 0 0 0 9 12 10 -0.809016994374946
+0 0 0 0 0 9 12 11 -0.499999999999998
+0 0 0 0 0 9 12 12 -0.104528463267652
+0 0 0 0 0 9 12 13 0.309016994374949
+0 0 0 0 0 9 12 14 0.669130606358859
+0 0 0 0 0 9 12 15 0.913545457642601
+0 0 0 0 0 9 12 16 1
+0 0 0 0 0 9 12 17 0.913545457642601
+0 0 0 0 0 9 12 18 0.669130606358859
+0 0 0 0 0 9 12 19 0.309016994374949
+0 0 0 0 0 9 12 20 -0.104528463267652
+0 0 0 0 0 9 12 21 -0.499999999999998
+0 0 0 0 0 9 12 22 -0.809016994374946
+0 0 0 0 0 9 12 23 -0.978147600733805
+0 0 0 0 0 9 12 24 -0.978147600733806
+0 0 0 0 0 9 12 25 -0.80901699437495
+0 0 0 0 0 9 12 26 -0.500000000000004
+0 0 0 0 0 9 12 27 -0.104528463267659
+0 0 0 0 0 9 12 28 0.309016994374942
+0 0 0 0 0 9 12 29 0.669130606358854
+0 0 0 0 0 9 12 30 0.913545457642598
+0 0 0 0 0 9 12 31 1
+0 0 0 0 0 9 12 32 0.913545457642598
+0 0 0 0 0 9 12 33 0.669130606358854
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 0.996351822641284
+1 0 0 0 0 9 12 1 0.946867382673999
+1 0 0 0 0 9 12 2 0.733660970222251
+1 0 0 0 0 9 12 3 0.393597910918405
+1 0 0 0 0 9 12 4 -0.0145218029079991
+1 0 0 0 0 9 12 5 -0.420130565085172
+1 0 0 0 0 9 12 6 -0.753094935792757
+1 0 0 0 0 9 12 7 -0.955842350449067
+1 0 0 0 0 9 12 8 -0.993315939157588
+1 0 0 0 0 9 12 9 -0.85903617799375
+1 0 0 0 0 9 12 10 -0.576221257556115
+1 0 0 0 0 9 12 11 -0.193772446881243
+1 0 0 0 0 9 12 12 0.222181380226812
+1 0 0 0 0 9 12 13 0.599718028239179
+1 0 0 0 0 9 12 14 0.873557980901746
+1 0 0 0 0 9 12 15 0.996351822641285
+1 0 0 0 0 9 12 16 0.946867382673999
+1 0 0 0 0 9 12 17 0.733660970222255
+1 0 0 0 0 9 12 18 0.393597910918411
+1 0 0 0 0 9 12 19 -0.014521802907992
+1 0 0 0 0 9 12 20 -0.420130565085165
+1 0 0 0 0 9 12 21 -0.753094935792752
+1 0 0 0 0 9 12 22 -0.955842350449065
+1 0 0 0 0 9 12 23 -0.993315939157588
+1 0 0 0 0 9 12 24 -0.859036177993754
+1 0 0 0 0 9 12 25 -0.576221257556121
+1 0 0 0 0 9 12 26 -0.19377244688125
+1 0 0 0 0 9 12 27 0.222181380226806
+1 0 0 0 0 9 12 28 0.599718028239173
+1 0 0 0 0 9 12 29 0.873557980901742
+1 0 0 0 0 9 12 30 0.996351822641284
+1 0 0 0 0 9 12 31 0.946867382673999
+1 0 0 0 0 9 12 32 0.733660970222251
+1 0 0 0 0 9 12 33 0.393597910918405
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 0.97283942200207
+2 0 0 0 0 9 12 1 0.792696388078995
+2 0 0 0 0 9 12 2 0.47548894723645
+2 0 0 0 0 9 12 3 0.0760651477352512
+2 0 0 0 0 9 12 4 -0.336511006839545
+2 0 0 0 0 9 12 5 -0.690901351225261
+2 0 0 0 0 9 12 6 -0.925828575342399
+2 0 0 0 0 9 12 7 -1.00067162789428
+2 0 0 0 0 9 12 8 -0.902489465166891
+2 0 0 0 0 9 12 9 -0.648258675052749
+2 0 0 0 0 9 12 10 -0.281938070776809
+2 0 0 0 0 9 12 11 0.133132187263405
+2 0 0 0 0 9 12 12 0.525182680657825
+2 0 0 0 0 9 12 13 0.826424317431636
+2 0 0 0 0 9 12 14 0.984769681892292
+2 0 0 0 0 9 12 15 0.972839422002068
+2 0 0 0 0 9 12 16 0.792696388078995
+2 0 0 0 0 9 12 17 0.475488947236456
+2 0 0 0 0 9 12 18 0.0760651477352584
+2 0 0 0 0 9 12 19 -0.336511006839538
+2 0 0 0 0 9 12 20 -0.690901351225255
+2 0 0 0 0 9 12 21 -0.925828575342396
+2 0 0 0 0 9 12 22 -1.00067162789428
+2 0 0 0 0 9 12 23 -0.902489465166894
+2 0 0 0 0 9 12 24 -0.648258675052755
+2 0 0 0 0 9 12 25 -0.281938070776816
+2 0 0 0 0 9 12 26 0.133132187263398
+2 0 0 0 0 9 12 27 0.525182680657818
+2 0 0 0 0 9 12 28 0.826424317431632
+2 0 0 0 0 9 12 29 0.98476968189229
+2 0 0 0 0 9 12 30 0.97283942200207
+2 0 0 0 0 9 12 31 0.792696388078995
+2 0 0 0 0 9 12 32 0.47548894723645
+2 0 0 0 0 9 12 33 0.0760651477352512
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 0.845517218278481
+3 0 0 0 0 9 12 1 0.553938303270452
+3 0 0 0 0 9 12 2 0.166578423255461
+3 0 0 0 0 9 12 3 -0.249584379457865
+3 0 0 0 0 9 12 4 -0.622591775560019
+3 0 0 0 0 9 12 5 -0.88794739759913
+3 0 0 0 0 9 12 6 -0.999768847844488
+3 0 0 0 0 9 12 7 -0.938721181682688
+3 0 0 0 0 9 12 8 -0.715360095193741
+3 0 0 0 0 9 12 9 -0.368306749403353
+3 0 0 0 0 9 12 10 0.0424301793206506
+3 0 0 0 0 9 12 11 0.445830544574036
+3 0 0 0 0 9 12 12 0.772142758427225
+3 0 0 0 0 9 12 13 0.964944474651603
+3 0 0 0 0 9 12 14 0.990898524963371
+3 0 0 0 0 9 12 15 0.845517218278479
+3 0 0 0 0 9 12 16 0.553938303270454
+3 0 0 0 0 9 12 17 0.166578423255466
+3 0 0 0 0 9 12 18 -0.249584379457859
+3 0 0 0 0 9 12 19 -0.622591775560014
+3 0 0 0 0 9 12 20 -0.887947397599127
+3 0 0 0 0 9 12 21 -0.999768847844487
+3 0 0 0 0 9 12 22 -0.93872118168269
+3 0 0 0 0 9 12 23 -0.715360095193745
+3 0 0 0 0 9 12 24 -0.36830674940336
+3 0 0 0 0 9 12 25 0.0424301793206439
+3 0 0 0 0 9 12 26 0.44583054457403
+3 0 0 0 0 9 12 27 0.77214275842722
+3 0 0 0 0 9 12 28 0.964944474651601
+3 0 0 0 0 9 12 29 0.990898524963371
+3 0 0 0 0 9 12 30 0.845517218278481
+3 0 0 0 0 9 12 31 0.553938303270452
+3 0 0 0 0 9 12 32 0.166578423255461
+3 0 0 0 0 9 12 33 -0.249584379457865
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 0.627971516258223
+4 0 0 0 0 9 12 1 0.25607053922517
+4 0 0 0 0 9 12 2 -0.160107360367728
+4 0 0 0 0 9 12 3 -0.548601242823342
+4 0 0 0 0 9 12 4 -0.842236986508969
+4 0 0 0 0 9 12 5 -0.99024230374438
+4 0 0 0 0 9 12 6 -0.967025730593478
+4 0 0 0 0 9 12 7 -0.776601623469998
+4 0 0 0 0 9 12 8 -0.451896040444295
+4 0 0 0 0 9 12 9 -0.0490535266791284
+4 0 0 0 0 9 12 10 0.36227078748616
+4 0 0 0 0 9 12 11 0.710955191368307
+4 0 0 0 0 9 12 12 0.936708983837727
+4 0 0 0 0 9 12 13 1.00049728326764
+4 0 0 0 0 9 12 14 0.891290513188097
+4 0 0 0 0 9 12 15 0.627971516258222
+4 0 0 0 0 9 12 16 0.256070539225173
+4 0 0 0 0 9 12 17 -0.160107360367724
+4 0 0 0 0 9 12 18 -0.548601242823337
+4 0 0 0 0 9 12 19 -0.842236986508965
+4 0 0 0 0 9 12 20 -0.990242303744379
+4 0 0 0 0 9 12 21 -0.967025730593479
+4 0 0 0 0 9 12 22 -0.776601623470003
+4 0 0 0 0 9 12 23 -0.451896040444302
+4 0 0 0 0 9 12 24 -0.0490535266791351
+4 0 0 0 0 9 12 25 0.362270787486154
+4 0 0 0 0 9 12 26 0.710955191368302
+4 0 0 0 0 9 12 27 0.936708983837724
+4 0 0 0 0 9 12 28 1.00049728326764
+4 0 0 0 0 9 12 29 0.891290513188099
+4 0 0 0 0 9 12 30 0.627971516258223
+4 0 0 0 0 9 12 31 0.25607053922517
+4 0 0 0 0 9 12 32 -0.160107360367728
+4 0 0 0 0 9 12 33 -0.548601242823342
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 0.343416194797169
+5 0 0 0 0 9 12 1 -0.0691220141445078
+5 0 0 0 0 9 12 2 -0.469708398886811
+5 0 0 0 0 9 12 3 -0.789077934294743
+5 0 0 0 0 9 12 4 -0.972008726315128
+5 0 0 0 0 9 12 5 -0.986870379133566
+5 0 0 0 0 9 12 6 -0.831093177963874
+5 0 0 0 0 9 12 7 -0.531612416079736
+5 0 0 0 0 9 12 8 -0.140211037908228
+5 0 0 0 0 9 12 9 0.275434102494904
+5 0 0 0 0 9 12 10 0.643454184336399
+5 0 0 0 0 9 12 11 0.900215192108381
+5 0 0 0 0 9 12 12 1.00132081496655
+5 0 0 0 0 9 12 13 0.929288972202972
+5 0 0 0 0 9 12 14 0.696574623820226
+5 0 0 0 0 9 12 15 0.34341619479717
+5 0 0 0 0 9 12 16 -0.0691220141445039
+5 0 0 0 0 9 12 17 -0.469708398886808
+5 0 0 0 0 9 12 18 -0.789077934294741
+5 0 0 0 0 9 12 19 -0.972008726315126
+5 0 0 0 0 9 12 20 -0.986870379133567
+5 0 0 0 0 9 12 21 -0.831093177963878
+5 0 0 0 0 9 12 22 -0.531612416079741
+5 0 0 0 0 9 12 23 -0.140211037908235
+5 0 0 0 0 9 12 24 0.275434102494897
+5 0 0 0 0 9 12 25 0.643454184336394
+5 0 0 0 0 9 12 26 0.900215192108378
+5 0 0 0 0 9 12 27 1.00132081496655
+5 0 0 0 0 9 12 28 0.929288972202974
+5 0 0 0 0 9 12 29 0.696574623820229
+5 0 0 0 0 9 12 30 0.343416194797169
+5 0 0 0 0 9 12 31 -0.0691220141445078
+5 0 0 0 0 9 12 32 -0.469708398886811
+5 0 0 0 0 9 12 33 -0.789077934294743
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 0.0222155989448779
+6 0 0 0 0 9 12 1 -0.386938691789114
+6 0 0 0 0 9 12 2 -0.729187767485107
+6 0 0 0 0 9 12 3 -0.945353653720023
+6 0 0 0 0 9 12 4 -0.998059304958421
+6 0 0 0 0 9 12 5 -0.87819143528537
+6 0 0 0 0 9 12 6 -0.606476288332749
+6 0 0 0 0 9 12 7 -0.229895881463287
+6 0 0 0 0 9 12 8 0.186435611849696
+6 0 0 0 0 9 12 9 0.570530694159504
+6 0 0 0 0 9 12 10 0.855975836340493
+6 0 0 0 0 9 12 11 0.993414980121865
+6 0 0 0 0 9 12 12 0.959083648948396
+6 0 0 0 0 9 12 13 0.758918041870331
+6 0 0 0 0 9 12 14 0.42752861079892
+6 0 0 0 0 9 12 15 0.0222155989448799
+6 0 0 0 0 9 12 16 -0.386938691789111
+6 0 0 0 0 9 12 17 -0.729187767485105
+6 0 0 0 0 9 12 18 -0.945353653720023
+6 0 0 0 0 9 12 19 -0.998059304958422
+6 0 0 0 0 9 12 20 -0.878191435285373
+6 0 0 0 0 9 12 21 -0.606476288332755
+6 0 0 0 0 9 12 22 -0.229895881463293
+6 0 0 0 0 9 12 23 0.186435611849689
+6 0 0 0 0 9 12 24 0.570530694159498
+6 0 0 0 0 9 12 25 0.855975836340489
+6 0 0 0 0 9 12 26 0.993414980121864
+6 0 0 0 0 9 12 27 0.959083648948397
+6 0 0 0 0 9 12 28 0.758918041870335
+6 0 0 0 0 9 12 29 0.427528610798923
+6 0 0 0 0 9 12 30 0.0222155989448779
+6 0 0 0 0 9 12 31 -0.386938691789114
+6 0 0 0 0 9 12 32 -0.729187767485107
+6 0 0 0 0 9 12 33 -0.945353653720023
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/spher3d_r.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/spher3d_r.xl
new file mode 100644
index 000000000..5c26840e3
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/spher3d_r.xl
@@ -0,0 +1,170 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 12 16 5.4
+0 0 0 0 0 1 12 16 4.8
+0 0 0 0 0 2 12 16 4.2
+0 0 0 0 0 3 12 16 3.6
+0 0 0 0 0 4 12 16 3
+0 0 0 0 0 5 12 16 2.4
+0 0 0 0 0 6 12 16 1.8
+0 0 0 0 0 7 12 16 1.2
+0 0 0 0 0 8 12 16 0.6
+0 0 0 0 0 9 12 16 6.2803698347351e-16
+0 0 0 0 0 10 12 16 0.600000000000001
+0 0 0 0 0 11 12 16 1.2
+0 0 0 0 0 12 12 16 1.8
+0 0 0 0 0 13 12 16 2.4
+0 0 0 0 0 14 12 16 3
+0 0 0 0 0 15 12 16 3.6
+0 0 0 0 0 16 12 16 4.2
+0 0 0 0 0 17 12 16 4.8
+0 0 0 0 0 18 12 16 5.4
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 12 16 5.4
+1 0 0 0 0 1 12 16 4.8
+1 0 0 0 0 2 12 16 4.2
+1 0 0 0 0 3 12 16 3.6
+1 0 0 0 0 4 12 16 3
+1 0 0 0 0 5 12 16 2.4
+1 0 0 0 0 6 12 16 1.8
+1 0 0 0 0 7 12 16 1.2
+1 0 0 0 0 8 12 16 0.6
+1 0 0 0 0 9 12 16 6.2803698347351e-16
+1 0 0 0 0 10 12 16 0.600000000000001
+1 0 0 0 0 11 12 16 1.2
+1 0 0 0 0 12 12 16 1.8
+1 0 0 0 0 13 12 16 2.4
+1 0 0 0 0 14 12 16 3
+1 0 0 0 0 15 12 16 3.6
+1 0 0 0 0 16 12 16 4.2
+1 0 0 0 0 17 12 16 4.8
+1 0 0 0 0 18 12 16 5.4
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 12 16 5.4
+2 0 0 0 0 1 12 16 4.8
+2 0 0 0 0 2 12 16 4.2
+2 0 0 0 0 3 12 16 3.6
+2 0 0 0 0 4 12 16 3
+2 0 0 0 0 5 12 16 2.4
+2 0 0 0 0 6 12 16 1.8
+2 0 0 0 0 7 12 16 1.2
+2 0 0 0 0 8 12 16 0.6
+2 0 0 0 0 9 12 16 6.2803698347351e-16
+2 0 0 0 0 10 12 16 0.600000000000001
+2 0 0 0 0 11 12 16 1.2
+2 0 0 0 0 12 12 16 1.8
+2 0 0 0 0 13 12 16 2.4
+2 0 0 0 0 14 12 16 3
+2 0 0 0 0 15 12 16 3.6
+2 0 0 0 0 16 12 16 4.2
+2 0 0 0 0 17 12 16 4.8
+2 0 0 0 0 18 12 16 5.4
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 12 16 5.4
+3 0 0 0 0 1 12 16 4.8
+3 0 0 0 0 2 12 16 4.2
+3 0 0 0 0 3 12 16 3.6
+3 0 0 0 0 4 12 16 3
+3 0 0 0 0 5 12 16 2.4
+3 0 0 0 0 6 12 16 1.8
+3 0 0 0 0 7 12 16 1.2
+3 0 0 0 0 8 12 16 0.6
+3 0 0 0 0 9 12 16 6.2803698347351e-16
+3 0 0 0 0 10 12 16 0.600000000000001
+3 0 0 0 0 11 12 16 1.2
+3 0 0 0 0 12 12 16 1.8
+3 0 0 0 0 13 12 16 2.4
+3 0 0 0 0 14 12 16 3
+3 0 0 0 0 15 12 16 3.6
+3 0 0 0 0 16 12 16 4.2
+3 0 0 0 0 17 12 16 4.8
+3 0 0 0 0 18 12 16 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 12 16 5.4
+4 0 0 0 0 1 12 16 4.8
+4 0 0 0 0 2 12 16 4.2
+4 0 0 0 0 3 12 16 3.6
+4 0 0 0 0 4 12 16 3
+4 0 0 0 0 5 12 16 2.4
+4 0 0 0 0 6 12 16 1.8
+4 0 0 0 0 7 12 16 1.2
+4 0 0 0 0 8 12 16 0.6
+4 0 0 0 0 9 12 16 6.2803698347351e-16
+4 0 0 0 0 10 12 16 0.600000000000001
+4 0 0 0 0 11 12 16 1.2
+4 0 0 0 0 12 12 16 1.8
+4 0 0 0 0 13 12 16 2.4
+4 0 0 0 0 14 12 16 3
+4 0 0 0 0 15 12 16 3.6
+4 0 0 0 0 16 12 16 4.2
+4 0 0 0 0 17 12 16 4.8
+4 0 0 0 0 18 12 16 5.4
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 0 12 16 5.4
+5 0 0 0 0 1 12 16 4.8
+5 0 0 0 0 2 12 16 4.2
+5 0 0 0 0 3 12 16 3.6
+5 0 0 0 0 4 12 16 3
+5 0 0 0 0 5 12 16 2.4
+5 0 0 0 0 6 12 16 1.8
+5 0 0 0 0 7 12 16 1.2
+5 0 0 0 0 8 12 16 0.6
+5 0 0 0 0 9 12 16 6.2803698347351e-16
+5 0 0 0 0 10 12 16 0.600000000000001
+5 0 0 0 0 11 12 16 1.2
+5 0 0 0 0 12 12 16 1.8
+5 0 0 0 0 13 12 16 2.4
+5 0 0 0 0 14 12 16 3
+5 0 0 0 0 15 12 16 3.6
+5 0 0 0 0 16 12 16 4.2
+5 0 0 0 0 17 12 16 4.8
+5 0 0 0 0 18 12 16 5.4
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 12 16 5.4
+6 0 0 0 0 1 12 16 4.8
+6 0 0 0 0 2 12 16 4.2
+6 0 0 0 0 3 12 16 3.6
+6 0 0 0 0 4 12 16 3
+6 0 0 0 0 5 12 16 2.4
+6 0 0 0 0 6 12 16 1.8
+6 0 0 0 0 7 12 16 1.2
+6 0 0 0 0 8 12 16 0.6
+6 0 0 0 0 9 12 16 6.2803698347351e-16
+6 0 0 0 0 10 12 16 0.600000000000001
+6 0 0 0 0 11 12 16 1.2
+6 0 0 0 0 12 12 16 1.8
+6 0 0 0 0 13 12 16 2.4
+6 0 0 0 0 14 12 16 3
+6 0 0 0 0 15 12 16 3.6
+6 0 0 0 0 16 12 16 4.2
+6 0 0 0 0 17 12 16 4.8
+6 0 0 0 0 18 12 16 5.4
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/spher3d_r.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/spher3d_r.yl
new file mode 100644
index 000000000..3dccc92e2
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/spher3d_r.yl
@@ -0,0 +1,219 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 0 16 7.2
+0 0 0 0 0 9 1 16 6.6
+0 0 0 0 0 9 2 16 6
+0 0 0 0 0 9 3 16 5.4
+0 0 0 0 0 9 4 16 4.8
+0 0 0 0 0 9 5 16 4.2
+0 0 0 0 0 9 6 16 3.6
+0 0 0 0 0 9 7 16 3
+0 0 0 0 0 9 8 16 2.4
+0 0 0 0 0 9 9 16 1.8
+0 0 0 0 0 9 10 16 1.2
+0 0 0 0 0 9 11 16 0.6
+0 0 0 0 0 9 12 16 6.2803698347351e-16
+0 0 0 0 0 9 13 16 0.6
+0 0 0 0 0 9 14 16 1.2
+0 0 0 0 0 9 15 16 1.8
+0 0 0 0 0 9 16 16 2.4
+0 0 0 0 0 9 17 16 3
+0 0 0 0 0 9 18 16 3.6
+0 0 0 0 0 9 19 16 4.2
+0 0 0 0 0 9 20 16 4.8
+0 0 0 0 0 9 21 16 5.4
+0 0 0 0 0 9 22 16 6
+0 0 0 0 0 9 23 16 6.6
+0 0 0 0 0 9 24 16 7.2
+0 0 0 0 0 9 25 16 7.8
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 0 16 7.2
+1 0 0 0 0 9 1 16 6.6
+1 0 0 0 0 9 2 16 6
+1 0 0 0 0 9 3 16 5.4
+1 0 0 0 0 9 4 16 4.8
+1 0 0 0 0 9 5 16 4.2
+1 0 0 0 0 9 6 16 3.6
+1 0 0 0 0 9 7 16 3
+1 0 0 0 0 9 8 16 2.4
+1 0 0 0 0 9 9 16 1.8
+1 0 0 0 0 9 10 16 1.2
+1 0 0 0 0 9 11 16 0.6
+1 0 0 0 0 9 12 16 6.2803698347351e-16
+1 0 0 0 0 9 13 16 0.6
+1 0 0 0 0 9 14 16 1.2
+1 0 0 0 0 9 15 16 1.8
+1 0 0 0 0 9 16 16 2.4
+1 0 0 0 0 9 17 16 3
+1 0 0 0 0 9 18 16 3.6
+1 0 0 0 0 9 19 16 4.2
+1 0 0 0 0 9 20 16 4.8
+1 0 0 0 0 9 21 16 5.4
+1 0 0 0 0 9 22 16 6
+1 0 0 0 0 9 23 16 6.6
+1 0 0 0 0 9 24 16 7.2
+1 0 0 0 0 9 25 16 7.8
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 0 16 7.2
+2 0 0 0 0 9 1 16 6.6
+2 0 0 0 0 9 2 16 6
+2 0 0 0 0 9 3 16 5.4
+2 0 0 0 0 9 4 16 4.8
+2 0 0 0 0 9 5 16 4.2
+2 0 0 0 0 9 6 16 3.6
+2 0 0 0 0 9 7 16 3
+2 0 0 0 0 9 8 16 2.4
+2 0 0 0 0 9 9 16 1.8
+2 0 0 0 0 9 10 16 1.2
+2 0 0 0 0 9 11 16 0.6
+2 0 0 0 0 9 12 16 6.2803698347351e-16
+2 0 0 0 0 9 13 16 0.6
+2 0 0 0 0 9 14 16 1.2
+2 0 0 0 0 9 15 16 1.8
+2 0 0 0 0 9 16 16 2.4
+2 0 0 0 0 9 17 16 3
+2 0 0 0 0 9 18 16 3.6
+2 0 0 0 0 9 19 16 4.2
+2 0 0 0 0 9 20 16 4.8
+2 0 0 0 0 9 21 16 5.4
+2 0 0 0 0 9 22 16 6
+2 0 0 0 0 9 23 16 6.6
+2 0 0 0 0 9 24 16 7.2
+2 0 0 0 0 9 25 16 7.8
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 0 16 7.2
+3 0 0 0 0 9 1 16 6.6
+3 0 0 0 0 9 2 16 6
+3 0 0 0 0 9 3 16 5.4
+3 0 0 0 0 9 4 16 4.8
+3 0 0 0 0 9 5 16 4.2
+3 0 0 0 0 9 6 16 3.6
+3 0 0 0 0 9 7 16 3
+3 0 0 0 0 9 8 16 2.4
+3 0 0 0 0 9 9 16 1.8
+3 0 0 0 0 9 10 16 1.2
+3 0 0 0 0 9 11 16 0.6
+3 0 0 0 0 9 12 16 6.2803698347351e-16
+3 0 0 0 0 9 13 16 0.6
+3 0 0 0 0 9 14 16 1.2
+3 0 0 0 0 9 15 16 1.8
+3 0 0 0 0 9 16 16 2.4
+3 0 0 0 0 9 17 16 3
+3 0 0 0 0 9 18 16 3.6
+3 0 0 0 0 9 19 16 4.2
+3 0 0 0 0 9 20 16 4.8
+3 0 0 0 0 9 21 16 5.4
+3 0 0 0 0 9 22 16 6
+3 0 0 0 0 9 23 16 6.6
+3 0 0 0 0 9 24 16 7.2
+3 0 0 0 0 9 25 16 7.8
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 0 16 7.2
+4 0 0 0 0 9 1 16 6.6
+4 0 0 0 0 9 2 16 6
+4 0 0 0 0 9 3 16 5.4
+4 0 0 0 0 9 4 16 4.8
+4 0 0 0 0 9 5 16 4.2
+4 0 0 0 0 9 6 16 3.6
+4 0 0 0 0 9 7 16 3
+4 0 0 0 0 9 8 16 2.4
+4 0 0 0 0 9 9 16 1.8
+4 0 0 0 0 9 10 16 1.2
+4 0 0 0 0 9 11 16 0.6
+4 0 0 0 0 9 12 16 6.2803698347351e-16
+4 0 0 0 0 9 13 16 0.6
+4 0 0 0 0 9 14 16 1.2
+4 0 0 0 0 9 15 16 1.8
+4 0 0 0 0 9 16 16 2.4
+4 0 0 0 0 9 17 16 3
+4 0 0 0 0 9 18 16 3.6
+4 0 0 0 0 9 19 16 4.2
+4 0 0 0 0 9 20 16 4.8
+4 0 0 0 0 9 21 16 5.4
+4 0 0 0 0 9 22 16 6
+4 0 0 0 0 9 23 16 6.6
+4 0 0 0 0 9 24 16 7.2
+4 0 0 0 0 9 25 16 7.8
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 0 16 7.2
+5 0 0 0 0 9 1 16 6.6
+5 0 0 0 0 9 2 16 6
+5 0 0 0 0 9 3 16 5.4
+5 0 0 0 0 9 4 16 4.8
+5 0 0 0 0 9 5 16 4.2
+5 0 0 0 0 9 6 16 3.6
+5 0 0 0 0 9 7 16 3
+5 0 0 0 0 9 8 16 2.4
+5 0 0 0 0 9 9 16 1.8
+5 0 0 0 0 9 10 16 1.2
+5 0 0 0 0 9 11 16 0.6
+5 0 0 0 0 9 12 16 6.2803698347351e-16
+5 0 0 0 0 9 13 16 0.6
+5 0 0 0 0 9 14 16 1.2
+5 0 0 0 0 9 15 16 1.8
+5 0 0 0 0 9 16 16 2.4
+5 0 0 0 0 9 17 16 3
+5 0 0 0 0 9 18 16 3.6
+5 0 0 0 0 9 19 16 4.2
+5 0 0 0 0 9 20 16 4.8
+5 0 0 0 0 9 21 16 5.4
+5 0 0 0 0 9 22 16 6
+5 0 0 0 0 9 23 16 6.6
+5 0 0 0 0 9 24 16 7.2
+5 0 0 0 0 9 25 16 7.8
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 0 16 7.2
+6 0 0 0 0 9 1 16 6.6
+6 0 0 0 0 9 2 16 6
+6 0 0 0 0 9 3 16 5.4
+6 0 0 0 0 9 4 16 4.8
+6 0 0 0 0 9 5 16 4.2
+6 0 0 0 0 9 6 16 3.6
+6 0 0 0 0 9 7 16 3
+6 0 0 0 0 9 8 16 2.4
+6 0 0 0 0 9 9 16 1.8
+6 0 0 0 0 9 10 16 1.2
+6 0 0 0 0 9 11 16 0.6
+6 0 0 0 0 9 12 16 6.2803698347351e-16
+6 0 0 0 0 9 13 16 0.6
+6 0 0 0 0 9 14 16 1.2
+6 0 0 0 0 9 15 16 1.8
+6 0 0 0 0 9 16 16 2.4
+6 0 0 0 0 9 17 16 3
+6 0 0 0 0 9 18 16 3.6
+6 0 0 0 0 9 19 16 4.2
+6 0 0 0 0 9 20 16 4.8
+6 0 0 0 0 9 21 16 5.4
+6 0 0 0 0 9 22 16 6
+6 0 0 0 0 9 23 16 6.6
+6 0 0 0 0 9 24 16 7.2
+6 0 0 0 0 9 25 16 7.8
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/spher3d_r.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/spher3d_r.zl
new file mode 100644
index 000000000..0d3ac2541
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse/spher3d_r.zl
@@ -0,0 +1,275 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 9 12 0 9.6
+0 0 0 0 0 9 12 1 9
+0 0 0 0 0 9 12 2 8.4
+0 0 0 0 0 9 12 3 7.8
+0 0 0 0 0 9 12 4 7.2
+0 0 0 0 0 9 12 5 6.6
+0 0 0 0 0 9 12 6 6
+0 0 0 0 0 9 12 7 5.4
+0 0 0 0 0 9 12 8 4.8
+0 0 0 0 0 9 12 9 4.2
+0 0 0 0 0 9 12 10 3.6
+0 0 0 0 0 9 12 11 3
+0 0 0 0 0 9 12 12 2.4
+0 0 0 0 0 9 12 13 1.8
+0 0 0 0 0 9 12 14 1.2
+0 0 0 0 0 9 12 15 0.6
+0 0 0 0 0 9 12 16 6.2803698347351e-16
+0 0 0 0 0 9 12 17 0.6
+0 0 0 0 0 9 12 18 1.2
+0 0 0 0 0 9 12 19 1.8
+0 0 0 0 0 9 12 20 2.4
+0 0 0 0 0 9 12 21 3
+0 0 0 0 0 9 12 22 3.6
+0 0 0 0 0 9 12 23 4.2
+0 0 0 0 0 9 12 24 4.8
+0 0 0 0 0 9 12 25 5.4
+0 0 0 0 0 9 12 26 6
+0 0 0 0 0 9 12 27 6.6
+0 0 0 0 0 9 12 28 7.2
+0 0 0 0 0 9 12 29 7.8
+0 0 0 0 0 9 12 30 8.4
+0 0 0 0 0 9 12 31 9
+0 0 0 0 0 9 12 32 9.6
+0 0 0 0 0 9 12 33 10.2
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 9 12 0 9.6
+1 0 0 0 0 9 12 1 9
+1 0 0 0 0 9 12 2 8.4
+1 0 0 0 0 9 12 3 7.8
+1 0 0 0 0 9 12 4 7.2
+1 0 0 0 0 9 12 5 6.6
+1 0 0 0 0 9 12 6 6
+1 0 0 0 0 9 12 7 5.4
+1 0 0 0 0 9 12 8 4.8
+1 0 0 0 0 9 12 9 4.2
+1 0 0 0 0 9 12 10 3.6
+1 0 0 0 0 9 12 11 3
+1 0 0 0 0 9 12 12 2.4
+1 0 0 0 0 9 12 13 1.8
+1 0 0 0 0 9 12 14 1.2
+1 0 0 0 0 9 12 15 0.6
+1 0 0 0 0 9 12 16 6.2803698347351e-16
+1 0 0 0 0 9 12 17 0.6
+1 0 0 0 0 9 12 18 1.2
+1 0 0 0 0 9 12 19 1.8
+1 0 0 0 0 9 12 20 2.4
+1 0 0 0 0 9 12 21 3
+1 0 0 0 0 9 12 22 3.6
+1 0 0 0 0 9 12 23 4.2
+1 0 0 0 0 9 12 24 4.8
+1 0 0 0 0 9 12 25 5.4
+1 0 0 0 0 9 12 26 6
+1 0 0 0 0 9 12 27 6.6
+1 0 0 0 0 9 12 28 7.2
+1 0 0 0 0 9 12 29 7.8
+1 0 0 0 0 9 12 30 8.4
+1 0 0 0 0 9 12 31 9
+1 0 0 0 0 9 12 32 9.6
+1 0 0 0 0 9 12 33 10.2
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 9 12 0 9.6
+2 0 0 0 0 9 12 1 9
+2 0 0 0 0 9 12 2 8.4
+2 0 0 0 0 9 12 3 7.8
+2 0 0 0 0 9 12 4 7.2
+2 0 0 0 0 9 12 5 6.6
+2 0 0 0 0 9 12 6 6
+2 0 0 0 0 9 12 7 5.4
+2 0 0 0 0 9 12 8 4.8
+2 0 0 0 0 9 12 9 4.2
+2 0 0 0 0 9 12 10 3.6
+2 0 0 0 0 9 12 11 3
+2 0 0 0 0 9 12 12 2.4
+2 0 0 0 0 9 12 13 1.8
+2 0 0 0 0 9 12 14 1.2
+2 0 0 0 0 9 12 15 0.6
+2 0 0 0 0 9 12 16 6.2803698347351e-16
+2 0 0 0 0 9 12 17 0.6
+2 0 0 0 0 9 12 18 1.2
+2 0 0 0 0 9 12 19 1.8
+2 0 0 0 0 9 12 20 2.4
+2 0 0 0 0 9 12 21 3
+2 0 0 0 0 9 12 22 3.6
+2 0 0 0 0 9 12 23 4.2
+2 0 0 0 0 9 12 24 4.8
+2 0 0 0 0 9 12 25 5.4
+2 0 0 0 0 9 12 26 6
+2 0 0 0 0 9 12 27 6.6
+2 0 0 0 0 9 12 28 7.2
+2 0 0 0 0 9 12 29 7.8
+2 0 0 0 0 9 12 30 8.4
+2 0 0 0 0 9 12 31 9
+2 0 0 0 0 9 12 32 9.6
+2 0 0 0 0 9 12 33 10.2
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 9 12 0 9.6
+3 0 0 0 0 9 12 1 9
+3 0 0 0 0 9 12 2 8.4
+3 0 0 0 0 9 12 3 7.8
+3 0 0 0 0 9 12 4 7.2
+3 0 0 0 0 9 12 5 6.6
+3 0 0 0 0 9 12 6 6
+3 0 0 0 0 9 12 7 5.4
+3 0 0 0 0 9 12 8 4.8
+3 0 0 0 0 9 12 9 4.2
+3 0 0 0 0 9 12 10 3.6
+3 0 0 0 0 9 12 11 3
+3 0 0 0 0 9 12 12 2.4
+3 0 0 0 0 9 12 13 1.8
+3 0 0 0 0 9 12 14 1.2
+3 0 0 0 0 9 12 15 0.6
+3 0 0 0 0 9 12 16 6.2803698347351e-16
+3 0 0 0 0 9 12 17 0.6
+3 0 0 0 0 9 12 18 1.2
+3 0 0 0 0 9 12 19 1.8
+3 0 0 0 0 9 12 20 2.4
+3 0 0 0 0 9 12 21 3
+3 0 0 0 0 9 12 22 3.6
+3 0 0 0 0 9 12 23 4.2
+3 0 0 0 0 9 12 24 4.8
+3 0 0 0 0 9 12 25 5.4
+3 0 0 0 0 9 12 26 6
+3 0 0 0 0 9 12 27 6.6
+3 0 0 0 0 9 12 28 7.2
+3 0 0 0 0 9 12 29 7.8
+3 0 0 0 0 9 12 30 8.4
+3 0 0 0 0 9 12 31 9
+3 0 0 0 0 9 12 32 9.6
+3 0 0 0 0 9 12 33 10.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 9 12 0 9.6
+4 0 0 0 0 9 12 1 9
+4 0 0 0 0 9 12 2 8.4
+4 0 0 0 0 9 12 3 7.8
+4 0 0 0 0 9 12 4 7.2
+4 0 0 0 0 9 12 5 6.6
+4 0 0 0 0 9 12 6 6
+4 0 0 0 0 9 12 7 5.4
+4 0 0 0 0 9 12 8 4.8
+4 0 0 0 0 9 12 9 4.2
+4 0 0 0 0 9 12 10 3.6
+4 0 0 0 0 9 12 11 3
+4 0 0 0 0 9 12 12 2.4
+4 0 0 0 0 9 12 13 1.8
+4 0 0 0 0 9 12 14 1.2
+4 0 0 0 0 9 12 15 0.6
+4 0 0 0 0 9 12 16 6.2803698347351e-16
+4 0 0 0 0 9 12 17 0.6
+4 0 0 0 0 9 12 18 1.2
+4 0 0 0 0 9 12 19 1.8
+4 0 0 0 0 9 12 20 2.4
+4 0 0 0 0 9 12 21 3
+4 0 0 0 0 9 12 22 3.6
+4 0 0 0 0 9 12 23 4.2
+4 0 0 0 0 9 12 24 4.8
+4 0 0 0 0 9 12 25 5.4
+4 0 0 0 0 9 12 26 6
+4 0 0 0 0 9 12 27 6.6
+4 0 0 0 0 9 12 28 7.2
+4 0 0 0 0 9 12 29 7.8
+4 0 0 0 0 9 12 30 8.4
+4 0 0 0 0 9 12 31 9
+4 0 0 0 0 9 12 32 9.6
+4 0 0 0 0 9 12 33 10.2
+
+
+# iteration 5
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 0 0 0 9 12 0 9.6
+5 0 0 0 0 9 12 1 9
+5 0 0 0 0 9 12 2 8.4
+5 0 0 0 0 9 12 3 7.8
+5 0 0 0 0 9 12 4 7.2
+5 0 0 0 0 9 12 5 6.6
+5 0 0 0 0 9 12 6 6
+5 0 0 0 0 9 12 7 5.4
+5 0 0 0 0 9 12 8 4.8
+5 0 0 0 0 9 12 9 4.2
+5 0 0 0 0 9 12 10 3.6
+5 0 0 0 0 9 12 11 3
+5 0 0 0 0 9 12 12 2.4
+5 0 0 0 0 9 12 13 1.8
+5 0 0 0 0 9 12 14 1.2
+5 0 0 0 0 9 12 15 0.6
+5 0 0 0 0 9 12 16 6.2803698347351e-16
+5 0 0 0 0 9 12 17 0.6
+5 0 0 0 0 9 12 18 1.2
+5 0 0 0 0 9 12 19 1.8
+5 0 0 0 0 9 12 20 2.4
+5 0 0 0 0 9 12 21 3
+5 0 0 0 0 9 12 22 3.6
+5 0 0 0 0 9 12 23 4.2
+5 0 0 0 0 9 12 24 4.8
+5 0 0 0 0 9 12 25 5.4
+5 0 0 0 0 9 12 26 6
+5 0 0 0 0 9 12 27 6.6
+5 0 0 0 0 9 12 28 7.2
+5 0 0 0 0 9 12 29 7.8
+5 0 0 0 0 9 12 30 8.4
+5 0 0 0 0 9 12 31 9
+5 0 0 0 0 9 12 32 9.6
+5 0 0 0 0 9 12 33 10.2
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 9 12 0 9.6
+6 0 0 0 0 9 12 1 9
+6 0 0 0 0 9 12 2 8.4
+6 0 0 0 0 9 12 3 7.8
+6 0 0 0 0 9 12 4 7.2
+6 0 0 0 0 9 12 5 6.6
+6 0 0 0 0 9 12 6 6
+6 0 0 0 0 9 12 7 5.4
+6 0 0 0 0 9 12 8 4.8
+6 0 0 0 0 9 12 9 4.2
+6 0 0 0 0 9 12 10 3.6
+6 0 0 0 0 9 12 11 3
+6 0 0 0 0 9 12 12 2.4
+6 0 0 0 0 9 12 13 1.8
+6 0 0 0 0 9 12 14 1.2
+6 0 0 0 0 9 12 15 0.6
+6 0 0 0 0 9 12 16 6.2803698347351e-16
+6 0 0 0 0 9 12 17 0.6
+6 0 0 0 0 9 12 18 1.2
+6 0 0 0 0 9 12 19 1.8
+6 0 0 0 0 9 12 20 2.4
+6 0 0 0 0 9 12 21 3
+6 0 0 0 0 9 12 22 3.6
+6 0 0 0 0 9 12 23 4.2
+6 0 0 0 0 9 12 24 4.8
+6 0 0 0 0 9 12 25 5.4
+6 0 0 0 0 9 12 26 6
+6 0 0 0 0 9 12 27 6.6
+6 0 0 0 0 9 12 28 7.2
+6 0 0 0 0 9 12 29 7.8
+6 0 0 0 0 9 12 30 8.4
+6 0 0 0 0 9 12 31 9
+6 0 0 0 0 9 12 32 9.6
+6 0 0 0 0 9 12 33 10.2
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2.log b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2.log
new file mode 100644
index 000000000..ebd3dee64
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2.log
@@ -0,0 +1,133 @@
+--------------------------------------------------------------------------------
+
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+
+Cactus version: 4.0.b11
+Compile date: Nov 30 2001 (15:23:02)
+Run date: Dec 3 2001 (11:04:42)
+Run host: lilypond.tat.physik.uni-tuebingen.de
+Parameter file: /home/eschnett/Calpha/Cactus/arrangements/Carpet/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2.par
+--------------------------------------------------------------------------------
+
+Activating thorn Cactus...Success -> active implementation Cactus
+Activation requested for
+--->Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetSlab IDScalarWave WaveToyF77<---
+Activating thorn Boundary...Success -> active implementation boundary
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn IDScalarWave...Success -> active implementation idscalarwave
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Time...Success -> active implementation time
+Activating thorn WaveToyF77...Success -> active implementation wavetoy
+--------------------------------------------------------------------------------
+ if (recover)
+ Recover parameters
+ endif
+
+ Startup routines
+ Carpet: Startup routine
+ IOUtil: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOBasic: Startup routine
+ CarpetIOASCII: Startup routine
+ WaveToyF77: Register banner
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+ IDScalarWave: Check parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Time: Initialise Time variables
+ Time: Set timestep based on Courant condition
+ WaveToyF77: Schedule symmetries
+ IDScalarWave: Initial data for 3D wave equation
+ WaveToyF77: Boundaries of 3D wave equation
+ if (recover)
+ endif
+ if (checkpoint initial data)
+ endif
+ if (analysis)
+ endif
+
+ do loop over timesteps
+ Rotate timelevels
+ iteration = iteration + 1
+ t = t+dt
+ WaveToyF77: Evolution of 3D wave equation
+ WaveToyF77: Boundaries of 3D wave equation
+ if (checkpoint)
+ endif
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+WaveToyF77: Evolutions of a Scalar Field
+--------------------------------------------------------------------------------
+
+INFO (Carpet): Carpet is running on 1 processors
+INFO (IOBasic): I/O Method 'Scalar' registered
+INFO (IOBasic): Scalar: Output of scalar quantities (grid scalars, reductions) to ASCII files
+INFO (IOBasic): I/O Method 'Info' registered
+INFO (IOBasic): Info: Output of scalar quantities (grid scalars, reductions) to screen
+INFO (Cart3d): Cartesian coordinates:
+INFO (Cart3d): Whole grid: lower bound [-5.4, -7.2, -9.6]
+INFO (Cart3d): Whole grid: upper bound [5.4, 7.8, 10.2]
+INFO (Cart3d): Whole grid: extent [11.4, 15.6, 20.4]
+INFO (Cart3d): Interior: lower bound [-4.2, -6, -8.4]
+INFO (Cart3d): Interior: upper bound [4.2, 6.6, 9]
+INFO (Cart3d): Interior: extent [9, 13.2, 18]
+INFO (Cart3d): Grid spacing: [0.6, 0.6, 0.6]
+INFO (IOBasic): Scalar: Output every -1 iterations
+INFO (IOBasic): Info: Output every 1 iterations
+------------------
+ it | |
+ | t |
+------------------
+ 0 | 0.000 |
+ 0 | 0.000 |
+ 1 | 0.150 |
+ 2 | 0.300 |
+ 2 | 0.300 |
+ 3 | 0.450 |
+ 4 | 0.600 |
+ 4 | 0.600 |
+ 5 | 0.750 |
+ 6 | 0.900 |
+ 6 | 0.900 |
+ 7 | 1.050 |
+ 8 | 1.200 |
+ 8 | 1.200 |
+ 9 | 1.350 |
+ 10 | 1.500 |
+ 10 | 1.500 |
+ 11 | 1.650 |
+ 12 | 1.800 |
+ 12 | 1.800 |
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2.par b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2.par
new file mode 100644
index 000000000..35d827e63
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2.par
@@ -0,0 +1,52 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2.par,v 1.7 2004/03/23 12:00:37 schnetter Exp $
+
+!DESC "WaveToy with periodic boundaries, 1 refinement level"
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 12
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 2
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 2
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "wavetoyf77_periodic_coarse_rl2"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = plane
+IDScalarWave::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDScalarWave::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDScalarWave::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.xl
new file mode 100644
index 000000000..11061d80c
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.xl
@@ -0,0 +1,482 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -2.7
+0 0 1 0 0 10 24 32 -2.4
+0 0 1 0 0 11 24 32 -2.1
+0 0 1 0 0 12 24 32 -1.8
+0 0 1 0 0 13 24 32 -1.5
+0 0 1 0 0 14 24 32 -1.2
+0 0 1 0 0 15 24 32 -0.9
+0 0 1 0 0 16 24 32 -0.6
+0 0 1 0 0 17 24 32 -0.3
+0 0 1 0 0 18 24 32 4.44089209850063e-16
+0 0 1 0 0 19 24 32 0.3
+0 0 1 0 0 20 24 32 0.600000000000001
+0 0 1 0 0 21 24 32 0.900000000000001
+0 0 1 0 0 22 24 32 1.2
+0 0 1 0 0 23 24 32 1.5
+0 0 1 0 0 24 24 32 1.8
+0 0 1 0 0 25 24 32 2.1
+0 0 1 0 0 26 24 32 2.4
+0 0 1 0 0 27 24 32 2.7
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -5.4
+0 0 0 0 0 2 24 32 -4.8
+0 0 0 0 0 4 24 32 -4.2
+0 0 0 0 0 6 24 32 -3.6
+0 0 0 0 0 8 24 32 -3
+0 0 0 0 0 10 24 32 -2.4
+0 0 0 0 0 12 24 32 -1.8
+0 0 0 0 0 14 24 32 -1.2
+0 0 0 0 0 16 24 32 -0.6
+0 0 0 0 0 18 24 32 4.44089209850063e-16
+0 0 0 0 0 20 24 32 0.600000000000001
+0 0 0 0 0 22 24 32 1.2
+0 0 0 0 0 24 24 32 1.8
+0 0 0 0 0 26 24 32 2.4
+0 0 0 0 0 28 24 32 3
+0 0 0 0 0 30 24 32 3.6
+0 0 0 0 0 32 24 32 4.2
+0 0 0 0 0 34 24 32 4.8
+0 0 0 0 0 36 24 32 5.4
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -2.7
+1 0 1 0 0 10 24 32 -2.4
+1 0 1 0 0 11 24 32 -2.1
+1 0 1 0 0 12 24 32 -1.8
+1 0 1 0 0 13 24 32 -1.5
+1 0 1 0 0 14 24 32 -1.2
+1 0 1 0 0 15 24 32 -0.9
+1 0 1 0 0 16 24 32 -0.6
+1 0 1 0 0 17 24 32 -0.3
+1 0 1 0 0 18 24 32 4.44089209850063e-16
+1 0 1 0 0 19 24 32 0.3
+1 0 1 0 0 20 24 32 0.600000000000001
+1 0 1 0 0 21 24 32 0.900000000000001
+1 0 1 0 0 22 24 32 1.2
+1 0 1 0 0 23 24 32 1.5
+1 0 1 0 0 24 24 32 1.8
+1 0 1 0 0 25 24 32 2.1
+1 0 1 0 0 26 24 32 2.4
+1 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 -2.7
+2 0 1 0 0 10 24 32 -2.4
+2 0 1 0 0 11 24 32 -2.1
+2 0 1 0 0 12 24 32 -1.8
+2 0 1 0 0 13 24 32 -1.5
+2 0 1 0 0 14 24 32 -1.2
+2 0 1 0 0 15 24 32 -0.9
+2 0 1 0 0 16 24 32 -0.6
+2 0 1 0 0 17 24 32 -0.3
+2 0 1 0 0 18 24 32 4.44089209850063e-16
+2 0 1 0 0 19 24 32 0.3
+2 0 1 0 0 20 24 32 0.600000000000001
+2 0 1 0 0 21 24 32 0.900000000000001
+2 0 1 0 0 22 24 32 1.2
+2 0 1 0 0 23 24 32 1.5
+2 0 1 0 0 24 24 32 1.8
+2 0 1 0 0 25 24 32 2.1
+2 0 1 0 0 26 24 32 2.4
+2 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -5.4
+2 0 0 0 0 2 24 32 -4.8
+2 0 0 0 0 4 24 32 -4.2
+2 0 0 0 0 6 24 32 -3.6
+2 0 0 0 0 8 24 32 -3
+2 0 0 0 0 10 24 32 -2.4
+2 0 0 0 0 12 24 32 -1.8
+2 0 0 0 0 14 24 32 -1.2
+2 0 0 0 0 16 24 32 -0.6
+2 0 0 0 0 18 24 32 4.44089209850063e-16
+2 0 0 0 0 20 24 32 0.600000000000001
+2 0 0 0 0 22 24 32 1.2
+2 0 0 0 0 24 24 32 1.8
+2 0 0 0 0 26 24 32 2.4
+2 0 0 0 0 28 24 32 3
+2 0 0 0 0 30 24 32 3.6
+2 0 0 0 0 32 24 32 4.2
+2 0 0 0 0 34 24 32 4.8
+2 0 0 0 0 36 24 32 5.4
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 -2.7
+3 0 1 0 0 10 24 32 -2.4
+3 0 1 0 0 11 24 32 -2.1
+3 0 1 0 0 12 24 32 -1.8
+3 0 1 0 0 13 24 32 -1.5
+3 0 1 0 0 14 24 32 -1.2
+3 0 1 0 0 15 24 32 -0.9
+3 0 1 0 0 16 24 32 -0.6
+3 0 1 0 0 17 24 32 -0.3
+3 0 1 0 0 18 24 32 4.44089209850063e-16
+3 0 1 0 0 19 24 32 0.3
+3 0 1 0 0 20 24 32 0.600000000000001
+3 0 1 0 0 21 24 32 0.900000000000001
+3 0 1 0 0 22 24 32 1.2
+3 0 1 0 0 23 24 32 1.5
+3 0 1 0 0 24 24 32 1.8
+3 0 1 0 0 25 24 32 2.1
+3 0 1 0 0 26 24 32 2.4
+3 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 -2.7
+4 0 1 0 0 10 24 32 -2.4
+4 0 1 0 0 11 24 32 -2.1
+4 0 1 0 0 12 24 32 -1.8
+4 0 1 0 0 13 24 32 -1.5
+4 0 1 0 0 14 24 32 -1.2
+4 0 1 0 0 15 24 32 -0.9
+4 0 1 0 0 16 24 32 -0.6
+4 0 1 0 0 17 24 32 -0.3
+4 0 1 0 0 18 24 32 4.44089209850063e-16
+4 0 1 0 0 19 24 32 0.3
+4 0 1 0 0 20 24 32 0.600000000000001
+4 0 1 0 0 21 24 32 0.900000000000001
+4 0 1 0 0 22 24 32 1.2
+4 0 1 0 0 23 24 32 1.5
+4 0 1 0 0 24 24 32 1.8
+4 0 1 0 0 25 24 32 2.1
+4 0 1 0 0 26 24 32 2.4
+4 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -5.4
+4 0 0 0 0 2 24 32 -4.8
+4 0 0 0 0 4 24 32 -4.2
+4 0 0 0 0 6 24 32 -3.6
+4 0 0 0 0 8 24 32 -3
+4 0 0 0 0 10 24 32 -2.4
+4 0 0 0 0 12 24 32 -1.8
+4 0 0 0 0 14 24 32 -1.2
+4 0 0 0 0 16 24 32 -0.6
+4 0 0 0 0 18 24 32 4.44089209850063e-16
+4 0 0 0 0 20 24 32 0.600000000000001
+4 0 0 0 0 22 24 32 1.2
+4 0 0 0 0 24 24 32 1.8
+4 0 0 0 0 26 24 32 2.4
+4 0 0 0 0 28 24 32 3
+4 0 0 0 0 30 24 32 3.6
+4 0 0 0 0 32 24 32 4.2
+4 0 0 0 0 34 24 32 4.8
+4 0 0 0 0 36 24 32 5.4
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 -2.7
+5 0 1 0 0 10 24 32 -2.4
+5 0 1 0 0 11 24 32 -2.1
+5 0 1 0 0 12 24 32 -1.8
+5 0 1 0 0 13 24 32 -1.5
+5 0 1 0 0 14 24 32 -1.2
+5 0 1 0 0 15 24 32 -0.9
+5 0 1 0 0 16 24 32 -0.6
+5 0 1 0 0 17 24 32 -0.3
+5 0 1 0 0 18 24 32 4.44089209850063e-16
+5 0 1 0 0 19 24 32 0.3
+5 0 1 0 0 20 24 32 0.600000000000001
+5 0 1 0 0 21 24 32 0.900000000000001
+5 0 1 0 0 22 24 32 1.2
+5 0 1 0 0 23 24 32 1.5
+5 0 1 0 0 24 24 32 1.8
+5 0 1 0 0 25 24 32 2.1
+5 0 1 0 0 26 24 32 2.4
+5 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 -2.7
+6 0 1 0 0 10 24 32 -2.4
+6 0 1 0 0 11 24 32 -2.1
+6 0 1 0 0 12 24 32 -1.8
+6 0 1 0 0 13 24 32 -1.5
+6 0 1 0 0 14 24 32 -1.2
+6 0 1 0 0 15 24 32 -0.9
+6 0 1 0 0 16 24 32 -0.6
+6 0 1 0 0 17 24 32 -0.3
+6 0 1 0 0 18 24 32 4.44089209850063e-16
+6 0 1 0 0 19 24 32 0.3
+6 0 1 0 0 20 24 32 0.600000000000001
+6 0 1 0 0 21 24 32 0.900000000000001
+6 0 1 0 0 22 24 32 1.2
+6 0 1 0 0 23 24 32 1.5
+6 0 1 0 0 24 24 32 1.8
+6 0 1 0 0 25 24 32 2.1
+6 0 1 0 0 26 24 32 2.4
+6 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -5.4
+6 0 0 0 0 2 24 32 -4.8
+6 0 0 0 0 4 24 32 -4.2
+6 0 0 0 0 6 24 32 -3.6
+6 0 0 0 0 8 24 32 -3
+6 0 0 0 0 10 24 32 -2.4
+6 0 0 0 0 12 24 32 -1.8
+6 0 0 0 0 14 24 32 -1.2
+6 0 0 0 0 16 24 32 -0.6
+6 0 0 0 0 18 24 32 4.44089209850063e-16
+6 0 0 0 0 20 24 32 0.600000000000001
+6 0 0 0 0 22 24 32 1.2
+6 0 0 0 0 24 24 32 1.8
+6 0 0 0 0 26 24 32 2.4
+6 0 0 0 0 28 24 32 3
+6 0 0 0 0 30 24 32 3.6
+6 0 0 0 0 32 24 32 4.2
+6 0 0 0 0 34 24 32 4.8
+6 0 0 0 0 36 24 32 5.4
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 -2.7
+7 0 1 0 0 10 24 32 -2.4
+7 0 1 0 0 11 24 32 -2.1
+7 0 1 0 0 12 24 32 -1.8
+7 0 1 0 0 13 24 32 -1.5
+7 0 1 0 0 14 24 32 -1.2
+7 0 1 0 0 15 24 32 -0.9
+7 0 1 0 0 16 24 32 -0.6
+7 0 1 0 0 17 24 32 -0.3
+7 0 1 0 0 18 24 32 4.44089209850063e-16
+7 0 1 0 0 19 24 32 0.3
+7 0 1 0 0 20 24 32 0.600000000000001
+7 0 1 0 0 21 24 32 0.900000000000001
+7 0 1 0 0 22 24 32 1.2
+7 0 1 0 0 23 24 32 1.5
+7 0 1 0 0 24 24 32 1.8
+7 0 1 0 0 25 24 32 2.1
+7 0 1 0 0 26 24 32 2.4
+7 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 -2.7
+8 0 1 0 0 10 24 32 -2.4
+8 0 1 0 0 11 24 32 -2.1
+8 0 1 0 0 12 24 32 -1.8
+8 0 1 0 0 13 24 32 -1.5
+8 0 1 0 0 14 24 32 -1.2
+8 0 1 0 0 15 24 32 -0.9
+8 0 1 0 0 16 24 32 -0.6
+8 0 1 0 0 17 24 32 -0.3
+8 0 1 0 0 18 24 32 4.44089209850063e-16
+8 0 1 0 0 19 24 32 0.3
+8 0 1 0 0 20 24 32 0.600000000000001
+8 0 1 0 0 21 24 32 0.900000000000001
+8 0 1 0 0 22 24 32 1.2
+8 0 1 0 0 23 24 32 1.5
+8 0 1 0 0 24 24 32 1.8
+8 0 1 0 0 25 24 32 2.1
+8 0 1 0 0 26 24 32 2.4
+8 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -5.4
+8 0 0 0 0 2 24 32 -4.8
+8 0 0 0 0 4 24 32 -4.2
+8 0 0 0 0 6 24 32 -3.6
+8 0 0 0 0 8 24 32 -3
+8 0 0 0 0 10 24 32 -2.4
+8 0 0 0 0 12 24 32 -1.8
+8 0 0 0 0 14 24 32 -1.2
+8 0 0 0 0 16 24 32 -0.6
+8 0 0 0 0 18 24 32 4.44089209850063e-16
+8 0 0 0 0 20 24 32 0.600000000000001
+8 0 0 0 0 22 24 32 1.2
+8 0 0 0 0 24 24 32 1.8
+8 0 0 0 0 26 24 32 2.4
+8 0 0 0 0 28 24 32 3
+8 0 0 0 0 30 24 32 3.6
+8 0 0 0 0 32 24 32 4.2
+8 0 0 0 0 34 24 32 4.8
+8 0 0 0 0 36 24 32 5.4
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 -2.7
+9 0 1 0 0 10 24 32 -2.4
+9 0 1 0 0 11 24 32 -2.1
+9 0 1 0 0 12 24 32 -1.8
+9 0 1 0 0 13 24 32 -1.5
+9 0 1 0 0 14 24 32 -1.2
+9 0 1 0 0 15 24 32 -0.9
+9 0 1 0 0 16 24 32 -0.6
+9 0 1 0 0 17 24 32 -0.3
+9 0 1 0 0 18 24 32 4.44089209850063e-16
+9 0 1 0 0 19 24 32 0.3
+9 0 1 0 0 20 24 32 0.600000000000001
+9 0 1 0 0 21 24 32 0.900000000000001
+9 0 1 0 0 22 24 32 1.2
+9 0 1 0 0 23 24 32 1.5
+9 0 1 0 0 24 24 32 1.8
+9 0 1 0 0 25 24 32 2.1
+9 0 1 0 0 26 24 32 2.4
+9 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 -2.7
+10 0 1 0 0 10 24 32 -2.4
+10 0 1 0 0 11 24 32 -2.1
+10 0 1 0 0 12 24 32 -1.8
+10 0 1 0 0 13 24 32 -1.5
+10 0 1 0 0 14 24 32 -1.2
+10 0 1 0 0 15 24 32 -0.9
+10 0 1 0 0 16 24 32 -0.6
+10 0 1 0 0 17 24 32 -0.3
+10 0 1 0 0 18 24 32 4.44089209850063e-16
+10 0 1 0 0 19 24 32 0.3
+10 0 1 0 0 20 24 32 0.600000000000001
+10 0 1 0 0 21 24 32 0.900000000000001
+10 0 1 0 0 22 24 32 1.2
+10 0 1 0 0 23 24 32 1.5
+10 0 1 0 0 24 24 32 1.8
+10 0 1 0 0 25 24 32 2.1
+10 0 1 0 0 26 24 32 2.4
+10 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -5.4
+10 0 0 0 0 2 24 32 -4.8
+10 0 0 0 0 4 24 32 -4.2
+10 0 0 0 0 6 24 32 -3.6
+10 0 0 0 0 8 24 32 -3
+10 0 0 0 0 10 24 32 -2.4
+10 0 0 0 0 12 24 32 -1.8
+10 0 0 0 0 14 24 32 -1.2
+10 0 0 0 0 16 24 32 -0.6
+10 0 0 0 0 18 24 32 4.44089209850063e-16
+10 0 0 0 0 20 24 32 0.600000000000001
+10 0 0 0 0 22 24 32 1.2
+10 0 0 0 0 24 24 32 1.8
+10 0 0 0 0 26 24 32 2.4
+10 0 0 0 0 28 24 32 3
+10 0 0 0 0 30 24 32 3.6
+10 0 0 0 0 32 24 32 4.2
+10 0 0 0 0 34 24 32 4.8
+10 0 0 0 0 36 24 32 5.4
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 -2.7
+11 0 1 0 0 10 24 32 -2.4
+11 0 1 0 0 11 24 32 -2.1
+11 0 1 0 0 12 24 32 -1.8
+11 0 1 0 0 13 24 32 -1.5
+11 0 1 0 0 14 24 32 -1.2
+11 0 1 0 0 15 24 32 -0.9
+11 0 1 0 0 16 24 32 -0.6
+11 0 1 0 0 17 24 32 -0.3
+11 0 1 0 0 18 24 32 4.44089209850063e-16
+11 0 1 0 0 19 24 32 0.3
+11 0 1 0 0 20 24 32 0.600000000000001
+11 0 1 0 0 21 24 32 0.900000000000001
+11 0 1 0 0 22 24 32 1.2
+11 0 1 0 0 23 24 32 1.5
+11 0 1 0 0 24 24 32 1.8
+11 0 1 0 0 25 24 32 2.1
+11 0 1 0 0 26 24 32 2.4
+11 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 -2.7
+12 0 1 0 0 10 24 32 -2.4
+12 0 1 0 0 11 24 32 -2.1
+12 0 1 0 0 12 24 32 -1.8
+12 0 1 0 0 13 24 32 -1.5
+12 0 1 0 0 14 24 32 -1.2
+12 0 1 0 0 15 24 32 -0.9
+12 0 1 0 0 16 24 32 -0.6
+12 0 1 0 0 17 24 32 -0.3
+12 0 1 0 0 18 24 32 4.44089209850063e-16
+12 0 1 0 0 19 24 32 0.3
+12 0 1 0 0 20 24 32 0.600000000000001
+12 0 1 0 0 21 24 32 0.900000000000001
+12 0 1 0 0 22 24 32 1.2
+12 0 1 0 0 23 24 32 1.5
+12 0 1 0 0 24 24 32 1.8
+12 0 1 0 0 25 24 32 2.1
+12 0 1 0 0 26 24 32 2.4
+12 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -5.4
+12 0 0 0 0 2 24 32 -4.8
+12 0 0 0 0 4 24 32 -4.2
+12 0 0 0 0 6 24 32 -3.6
+12 0 0 0 0 8 24 32 -3
+12 0 0 0 0 10 24 32 -2.4
+12 0 0 0 0 12 24 32 -1.8
+12 0 0 0 0 14 24 32 -1.2
+12 0 0 0 0 16 24 32 -0.6
+12 0 0 0 0 18 24 32 4.44089209850063e-16
+12 0 0 0 0 20 24 32 0.600000000000001
+12 0 0 0 0 22 24 32 1.2
+12 0 0 0 0 24 24 32 1.8
+12 0 0 0 0 26 24 32 2.4
+12 0 0 0 0 28 24 32 3
+12 0 0 0 0 30 24 32 3.6
+12 0 0 0 0 32 24 32 4.2
+12 0 0 0 0 34 24 32 4.8
+12 0 0 0 0 36 24 32 5.4
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.yl
new file mode 100644
index 000000000..44fc64068
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.yl
@@ -0,0 +1,622 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 4.44089209850063e-16
+0 0 1 0 0 18 14 32 4.44089209850063e-16
+0 0 1 0 0 18 15 32 4.44089209850063e-16
+0 0 1 0 0 18 16 32 4.44089209850063e-16
+0 0 1 0 0 18 17 32 4.44089209850063e-16
+0 0 1 0 0 18 18 32 4.44089209850063e-16
+0 0 1 0 0 18 19 32 4.44089209850063e-16
+0 0 1 0 0 18 20 32 4.44089209850063e-16
+0 0 1 0 0 18 21 32 4.44089209850063e-16
+0 0 1 0 0 18 22 32 4.44089209850063e-16
+0 0 1 0 0 18 23 32 4.44089209850063e-16
+0 0 1 0 0 18 24 32 4.44089209850063e-16
+0 0 1 0 0 18 25 32 4.44089209850063e-16
+0 0 1 0 0 18 26 32 4.44089209850063e-16
+0 0 1 0 0 18 27 32 4.44089209850063e-16
+0 0 1 0 0 18 28 32 4.44089209850063e-16
+0 0 1 0 0 18 29 32 4.44089209850063e-16
+0 0 1 0 0 18 30 32 4.44089209850063e-16
+0 0 1 0 0 18 31 32 4.44089209850063e-16
+0 0 1 0 0 18 32 32 4.44089209850063e-16
+0 0 1 0 0 18 33 32 4.44089209850063e-16
+0 0 1 0 0 18 34 32 4.44089209850063e-16
+0 0 1 0 0 18 35 32 4.44089209850063e-16
+0 0 1 0 0 18 36 32 4.44089209850063e-16
+0 0 1 0 0 18 37 32 4.44089209850063e-16
+0 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 4.44089209850063e-16
+0 0 0 0 0 18 2 32 4.44089209850063e-16
+0 0 0 0 0 18 4 32 4.44089209850063e-16
+0 0 0 0 0 18 6 32 4.44089209850063e-16
+0 0 0 0 0 18 8 32 4.44089209850063e-16
+0 0 0 0 0 18 10 32 4.44089209850063e-16
+0 0 0 0 0 18 12 32 4.44089209850063e-16
+0 0 0 0 0 18 14 32 4.44089209850063e-16
+0 0 0 0 0 18 16 32 4.44089209850063e-16
+0 0 0 0 0 18 18 32 4.44089209850063e-16
+0 0 0 0 0 18 20 32 4.44089209850063e-16
+0 0 0 0 0 18 22 32 4.44089209850063e-16
+0 0 0 0 0 18 24 32 4.44089209850063e-16
+0 0 0 0 0 18 26 32 4.44089209850063e-16
+0 0 0 0 0 18 28 32 4.44089209850063e-16
+0 0 0 0 0 18 30 32 4.44089209850063e-16
+0 0 0 0 0 18 32 32 4.44089209850063e-16
+0 0 0 0 0 18 34 32 4.44089209850063e-16
+0 0 0 0 0 18 36 32 4.44089209850063e-16
+0 0 0 0 0 18 38 32 4.44089209850063e-16
+0 0 0 0 0 18 40 32 4.44089209850063e-16
+0 0 0 0 0 18 42 32 4.44089209850063e-16
+0 0 0 0 0 18 44 32 4.44089209850063e-16
+0 0 0 0 0 18 46 32 4.44089209850063e-16
+0 0 0 0 0 18 48 32 4.44089209850063e-16
+0 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 4.44089209850063e-16
+1 0 1 0 0 18 14 32 4.44089209850063e-16
+1 0 1 0 0 18 15 32 4.44089209850063e-16
+1 0 1 0 0 18 16 32 4.44089209850063e-16
+1 0 1 0 0 18 17 32 4.44089209850063e-16
+1 0 1 0 0 18 18 32 4.44089209850063e-16
+1 0 1 0 0 18 19 32 4.44089209850063e-16
+1 0 1 0 0 18 20 32 4.44089209850063e-16
+1 0 1 0 0 18 21 32 4.44089209850063e-16
+1 0 1 0 0 18 22 32 4.44089209850063e-16
+1 0 1 0 0 18 23 32 4.44089209850063e-16
+1 0 1 0 0 18 24 32 4.44089209850063e-16
+1 0 1 0 0 18 25 32 4.44089209850063e-16
+1 0 1 0 0 18 26 32 4.44089209850063e-16
+1 0 1 0 0 18 27 32 4.44089209850063e-16
+1 0 1 0 0 18 28 32 4.44089209850063e-16
+1 0 1 0 0 18 29 32 4.44089209850063e-16
+1 0 1 0 0 18 30 32 4.44089209850063e-16
+1 0 1 0 0 18 31 32 4.44089209850063e-16
+1 0 1 0 0 18 32 32 4.44089209850063e-16
+1 0 1 0 0 18 33 32 4.44089209850063e-16
+1 0 1 0 0 18 34 32 4.44089209850063e-16
+1 0 1 0 0 18 35 32 4.44089209850063e-16
+1 0 1 0 0 18 36 32 4.44089209850063e-16
+1 0 1 0 0 18 37 32 4.44089209850063e-16
+1 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 4.44089209850063e-16
+2 0 1 0 0 18 14 32 4.44089209850063e-16
+2 0 1 0 0 18 15 32 4.44089209850063e-16
+2 0 1 0 0 18 16 32 4.44089209850063e-16
+2 0 1 0 0 18 17 32 4.44089209850063e-16
+2 0 1 0 0 18 18 32 4.44089209850063e-16
+2 0 1 0 0 18 19 32 4.44089209850063e-16
+2 0 1 0 0 18 20 32 4.44089209850063e-16
+2 0 1 0 0 18 21 32 4.44089209850063e-16
+2 0 1 0 0 18 22 32 4.44089209850063e-16
+2 0 1 0 0 18 23 32 4.44089209850063e-16
+2 0 1 0 0 18 24 32 4.44089209850063e-16
+2 0 1 0 0 18 25 32 4.44089209850063e-16
+2 0 1 0 0 18 26 32 4.44089209850063e-16
+2 0 1 0 0 18 27 32 4.44089209850063e-16
+2 0 1 0 0 18 28 32 4.44089209850063e-16
+2 0 1 0 0 18 29 32 4.44089209850063e-16
+2 0 1 0 0 18 30 32 4.44089209850063e-16
+2 0 1 0 0 18 31 32 4.44089209850063e-16
+2 0 1 0 0 18 32 32 4.44089209850063e-16
+2 0 1 0 0 18 33 32 4.44089209850063e-16
+2 0 1 0 0 18 34 32 4.44089209850063e-16
+2 0 1 0 0 18 35 32 4.44089209850063e-16
+2 0 1 0 0 18 36 32 4.44089209850063e-16
+2 0 1 0 0 18 37 32 4.44089209850063e-16
+2 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 4.44089209850063e-16
+2 0 0 0 0 18 2 32 4.44089209850063e-16
+2 0 0 0 0 18 4 32 4.44089209850063e-16
+2 0 0 0 0 18 6 32 4.44089209850063e-16
+2 0 0 0 0 18 8 32 4.44089209850063e-16
+2 0 0 0 0 18 10 32 4.44089209850063e-16
+2 0 0 0 0 18 12 32 4.44089209850063e-16
+2 0 0 0 0 18 14 32 4.44089209850063e-16
+2 0 0 0 0 18 16 32 4.44089209850063e-16
+2 0 0 0 0 18 18 32 4.44089209850063e-16
+2 0 0 0 0 18 20 32 4.44089209850063e-16
+2 0 0 0 0 18 22 32 4.44089209850063e-16
+2 0 0 0 0 18 24 32 4.44089209850063e-16
+2 0 0 0 0 18 26 32 4.44089209850063e-16
+2 0 0 0 0 18 28 32 4.44089209850063e-16
+2 0 0 0 0 18 30 32 4.44089209850063e-16
+2 0 0 0 0 18 32 32 4.44089209850063e-16
+2 0 0 0 0 18 34 32 4.44089209850063e-16
+2 0 0 0 0 18 36 32 4.44089209850063e-16
+2 0 0 0 0 18 38 32 4.44089209850063e-16
+2 0 0 0 0 18 40 32 4.44089209850063e-16
+2 0 0 0 0 18 42 32 4.44089209850063e-16
+2 0 0 0 0 18 44 32 4.44089209850063e-16
+2 0 0 0 0 18 46 32 4.44089209850063e-16
+2 0 0 0 0 18 48 32 4.44089209850063e-16
+2 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 4.44089209850063e-16
+3 0 1 0 0 18 14 32 4.44089209850063e-16
+3 0 1 0 0 18 15 32 4.44089209850063e-16
+3 0 1 0 0 18 16 32 4.44089209850063e-16
+3 0 1 0 0 18 17 32 4.44089209850063e-16
+3 0 1 0 0 18 18 32 4.44089209850063e-16
+3 0 1 0 0 18 19 32 4.44089209850063e-16
+3 0 1 0 0 18 20 32 4.44089209850063e-16
+3 0 1 0 0 18 21 32 4.44089209850063e-16
+3 0 1 0 0 18 22 32 4.44089209850063e-16
+3 0 1 0 0 18 23 32 4.44089209850063e-16
+3 0 1 0 0 18 24 32 4.44089209850063e-16
+3 0 1 0 0 18 25 32 4.44089209850063e-16
+3 0 1 0 0 18 26 32 4.44089209850063e-16
+3 0 1 0 0 18 27 32 4.44089209850063e-16
+3 0 1 0 0 18 28 32 4.44089209850063e-16
+3 0 1 0 0 18 29 32 4.44089209850063e-16
+3 0 1 0 0 18 30 32 4.44089209850063e-16
+3 0 1 0 0 18 31 32 4.44089209850063e-16
+3 0 1 0 0 18 32 32 4.44089209850063e-16
+3 0 1 0 0 18 33 32 4.44089209850063e-16
+3 0 1 0 0 18 34 32 4.44089209850063e-16
+3 0 1 0 0 18 35 32 4.44089209850063e-16
+3 0 1 0 0 18 36 32 4.44089209850063e-16
+3 0 1 0 0 18 37 32 4.44089209850063e-16
+3 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 4.44089209850063e-16
+4 0 1 0 0 18 14 32 4.44089209850063e-16
+4 0 1 0 0 18 15 32 4.44089209850063e-16
+4 0 1 0 0 18 16 32 4.44089209850063e-16
+4 0 1 0 0 18 17 32 4.44089209850063e-16
+4 0 1 0 0 18 18 32 4.44089209850063e-16
+4 0 1 0 0 18 19 32 4.44089209850063e-16
+4 0 1 0 0 18 20 32 4.44089209850063e-16
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+4 0 1 0 0 18 37 32 4.44089209850063e-16
+4 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 4.44089209850063e-16
+4 0 0 0 0 18 2 32 4.44089209850063e-16
+4 0 0 0 0 18 4 32 4.44089209850063e-16
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+4 0 0 0 0 18 48 32 4.44089209850063e-16
+4 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 4.44089209850063e-16
+5 0 1 0 0 18 14 32 4.44089209850063e-16
+5 0 1 0 0 18 15 32 4.44089209850063e-16
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+5 0 1 0 0 18 37 32 4.44089209850063e-16
+5 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 4.44089209850063e-16
+6 0 1 0 0 18 14 32 4.44089209850063e-16
+6 0 1 0 0 18 15 32 4.44089209850063e-16
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+6 0 1 0 0 18 37 32 4.44089209850063e-16
+6 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 4.44089209850063e-16
+6 0 0 0 0 18 2 32 4.44089209850063e-16
+6 0 0 0 0 18 4 32 4.44089209850063e-16
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+6 0 0 0 0 18 48 32 4.44089209850063e-16
+6 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 4.44089209850063e-16
+7 0 1 0 0 18 14 32 4.44089209850063e-16
+7 0 1 0 0 18 15 32 4.44089209850063e-16
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+7 0 1 0 0 18 37 32 4.44089209850063e-16
+7 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 4.44089209850063e-16
+8 0 1 0 0 18 14 32 4.44089209850063e-16
+8 0 1 0 0 18 15 32 4.44089209850063e-16
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+8 0 1 0 0 18 37 32 4.44089209850063e-16
+8 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 4.44089209850063e-16
+8 0 0 0 0 18 2 32 4.44089209850063e-16
+8 0 0 0 0 18 4 32 4.44089209850063e-16
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+8 0 0 0 0 18 48 32 4.44089209850063e-16
+8 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 4.44089209850063e-16
+9 0 1 0 0 18 14 32 4.44089209850063e-16
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+9 0 1 0 0 18 37 32 4.44089209850063e-16
+9 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 4.44089209850063e-16
+10 0 1 0 0 18 14 32 4.44089209850063e-16
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+10 0 1 0 0 18 37 32 4.44089209850063e-16
+10 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 4.44089209850063e-16
+10 0 0 0 0 18 2 32 4.44089209850063e-16
+10 0 0 0 0 18 4 32 4.44089209850063e-16
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+10 0 0 0 0 18 48 32 4.44089209850063e-16
+10 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 4.44089209850063e-16
+11 0 1 0 0 18 14 32 4.44089209850063e-16
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+11 0 1 0 0 18 37 32 4.44089209850063e-16
+11 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 4.44089209850063e-16
+12 0 1 0 0 18 14 32 4.44089209850063e-16
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+12 0 1 0 0 18 36 32 4.44089209850063e-16
+12 0 1 0 0 18 37 32 4.44089209850063e-16
+12 0 1 0 0 18 38 32 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 4.44089209850063e-16
+12 0 0 0 0 18 2 32 4.44089209850063e-16
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+12 0 0 0 0 18 22 32 4.44089209850063e-16
+12 0 0 0 0 18 24 32 4.44089209850063e-16
+12 0 0 0 0 18 26 32 4.44089209850063e-16
+12 0 0 0 0 18 28 32 4.44089209850063e-16
+12 0 0 0 0 18 30 32 4.44089209850063e-16
+12 0 0 0 0 18 32 32 4.44089209850063e-16
+12 0 0 0 0 18 34 32 4.44089209850063e-16
+12 0 0 0 0 18 36 32 4.44089209850063e-16
+12 0 0 0 0 18 38 32 4.44089209850063e-16
+12 0 0 0 0 18 40 32 4.44089209850063e-16
+12 0 0 0 0 18 42 32 4.44089209850063e-16
+12 0 0 0 0 18 44 32 4.44089209850063e-16
+12 0 0 0 0 18 46 32 4.44089209850063e-16
+12 0 0 0 0 18 48 32 4.44089209850063e-16
+12 0 0 0 0 18 50 32 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.zl
new file mode 100644
index 000000000..2a73fe1f2
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_x.zl
@@ -0,0 +1,782 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 4.44089209850063e-16
+0 0 1 0 0 18 24 18 4.44089209850063e-16
+0 0 1 0 0 18 24 19 4.44089209850063e-16
+0 0 1 0 0 18 24 20 4.44089209850063e-16
+0 0 1 0 0 18 24 21 4.44089209850063e-16
+0 0 1 0 0 18 24 22 4.44089209850063e-16
+0 0 1 0 0 18 24 23 4.44089209850063e-16
+0 0 1 0 0 18 24 24 4.44089209850063e-16
+0 0 1 0 0 18 24 25 4.44089209850063e-16
+0 0 1 0 0 18 24 26 4.44089209850063e-16
+0 0 1 0 0 18 24 27 4.44089209850063e-16
+0 0 1 0 0 18 24 28 4.44089209850063e-16
+0 0 1 0 0 18 24 29 4.44089209850063e-16
+0 0 1 0 0 18 24 30 4.44089209850063e-16
+0 0 1 0 0 18 24 31 4.44089209850063e-16
+0 0 1 0 0 18 24 32 4.44089209850063e-16
+0 0 1 0 0 18 24 33 4.44089209850063e-16
+0 0 1 0 0 18 24 34 4.44089209850063e-16
+0 0 1 0 0 18 24 35 4.44089209850063e-16
+0 0 1 0 0 18 24 36 4.44089209850063e-16
+0 0 1 0 0 18 24 37 4.44089209850063e-16
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+0 0 1 0 0 18 24 44 4.44089209850063e-16
+0 0 1 0 0 18 24 45 4.44089209850063e-16
+0 0 1 0 0 18 24 46 4.44089209850063e-16
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+0 0 1 0 0 18 24 49 4.44089209850063e-16
+0 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 4.44089209850063e-16
+0 0 0 0 0 18 24 2 4.44089209850063e-16
+0 0 0 0 0 18 24 4 4.44089209850063e-16
+0 0 0 0 0 18 24 6 4.44089209850063e-16
+0 0 0 0 0 18 24 8 4.44089209850063e-16
+0 0 0 0 0 18 24 10 4.44089209850063e-16
+0 0 0 0 0 18 24 12 4.44089209850063e-16
+0 0 0 0 0 18 24 14 4.44089209850063e-16
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+0 0 0 0 0 18 24 18 4.44089209850063e-16
+0 0 0 0 0 18 24 20 4.44089209850063e-16
+0 0 0 0 0 18 24 22 4.44089209850063e-16
+0 0 0 0 0 18 24 24 4.44089209850063e-16
+0 0 0 0 0 18 24 26 4.44089209850063e-16
+0 0 0 0 0 18 24 28 4.44089209850063e-16
+0 0 0 0 0 18 24 30 4.44089209850063e-16
+0 0 0 0 0 18 24 32 4.44089209850063e-16
+0 0 0 0 0 18 24 34 4.44089209850063e-16
+0 0 0 0 0 18 24 36 4.44089209850063e-16
+0 0 0 0 0 18 24 38 4.44089209850063e-16
+0 0 0 0 0 18 24 40 4.44089209850063e-16
+0 0 0 0 0 18 24 42 4.44089209850063e-16
+0 0 0 0 0 18 24 44 4.44089209850063e-16
+0 0 0 0 0 18 24 46 4.44089209850063e-16
+0 0 0 0 0 18 24 48 4.44089209850063e-16
+0 0 0 0 0 18 24 50 4.44089209850063e-16
+0 0 0 0 0 18 24 52 4.44089209850063e-16
+0 0 0 0 0 18 24 54 4.44089209850063e-16
+0 0 0 0 0 18 24 56 4.44089209850063e-16
+0 0 0 0 0 18 24 58 4.44089209850063e-16
+0 0 0 0 0 18 24 60 4.44089209850063e-16
+0 0 0 0 0 18 24 62 4.44089209850063e-16
+0 0 0 0 0 18 24 64 4.44089209850063e-16
+0 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 4.44089209850063e-16
+1 0 1 0 0 18 24 18 4.44089209850063e-16
+1 0 1 0 0 18 24 19 4.44089209850063e-16
+1 0 1 0 0 18 24 20 4.44089209850063e-16
+1 0 1 0 0 18 24 21 4.44089209850063e-16
+1 0 1 0 0 18 24 22 4.44089209850063e-16
+1 0 1 0 0 18 24 23 4.44089209850063e-16
+1 0 1 0 0 18 24 24 4.44089209850063e-16
+1 0 1 0 0 18 24 25 4.44089209850063e-16
+1 0 1 0 0 18 24 26 4.44089209850063e-16
+1 0 1 0 0 18 24 27 4.44089209850063e-16
+1 0 1 0 0 18 24 28 4.44089209850063e-16
+1 0 1 0 0 18 24 29 4.44089209850063e-16
+1 0 1 0 0 18 24 30 4.44089209850063e-16
+1 0 1 0 0 18 24 31 4.44089209850063e-16
+1 0 1 0 0 18 24 32 4.44089209850063e-16
+1 0 1 0 0 18 24 33 4.44089209850063e-16
+1 0 1 0 0 18 24 34 4.44089209850063e-16
+1 0 1 0 0 18 24 35 4.44089209850063e-16
+1 0 1 0 0 18 24 36 4.44089209850063e-16
+1 0 1 0 0 18 24 37 4.44089209850063e-16
+1 0 1 0 0 18 24 38 4.44089209850063e-16
+1 0 1 0 0 18 24 39 4.44089209850063e-16
+1 0 1 0 0 18 24 40 4.44089209850063e-16
+1 0 1 0 0 18 24 41 4.44089209850063e-16
+1 0 1 0 0 18 24 42 4.44089209850063e-16
+1 0 1 0 0 18 24 43 4.44089209850063e-16
+1 0 1 0 0 18 24 44 4.44089209850063e-16
+1 0 1 0 0 18 24 45 4.44089209850063e-16
+1 0 1 0 0 18 24 46 4.44089209850063e-16
+1 0 1 0 0 18 24 47 4.44089209850063e-16
+1 0 1 0 0 18 24 48 4.44089209850063e-16
+1 0 1 0 0 18 24 49 4.44089209850063e-16
+1 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 4.44089209850063e-16
+2 0 1 0 0 18 24 18 4.44089209850063e-16
+2 0 1 0 0 18 24 19 4.44089209850063e-16
+2 0 1 0 0 18 24 20 4.44089209850063e-16
+2 0 1 0 0 18 24 21 4.44089209850063e-16
+2 0 1 0 0 18 24 22 4.44089209850063e-16
+2 0 1 0 0 18 24 23 4.44089209850063e-16
+2 0 1 0 0 18 24 24 4.44089209850063e-16
+2 0 1 0 0 18 24 25 4.44089209850063e-16
+2 0 1 0 0 18 24 26 4.44089209850063e-16
+2 0 1 0 0 18 24 27 4.44089209850063e-16
+2 0 1 0 0 18 24 28 4.44089209850063e-16
+2 0 1 0 0 18 24 29 4.44089209850063e-16
+2 0 1 0 0 18 24 30 4.44089209850063e-16
+2 0 1 0 0 18 24 31 4.44089209850063e-16
+2 0 1 0 0 18 24 32 4.44089209850063e-16
+2 0 1 0 0 18 24 33 4.44089209850063e-16
+2 0 1 0 0 18 24 34 4.44089209850063e-16
+2 0 1 0 0 18 24 35 4.44089209850063e-16
+2 0 1 0 0 18 24 36 4.44089209850063e-16
+2 0 1 0 0 18 24 37 4.44089209850063e-16
+2 0 1 0 0 18 24 38 4.44089209850063e-16
+2 0 1 0 0 18 24 39 4.44089209850063e-16
+2 0 1 0 0 18 24 40 4.44089209850063e-16
+2 0 1 0 0 18 24 41 4.44089209850063e-16
+2 0 1 0 0 18 24 42 4.44089209850063e-16
+2 0 1 0 0 18 24 43 4.44089209850063e-16
+2 0 1 0 0 18 24 44 4.44089209850063e-16
+2 0 1 0 0 18 24 45 4.44089209850063e-16
+2 0 1 0 0 18 24 46 4.44089209850063e-16
+2 0 1 0 0 18 24 47 4.44089209850063e-16
+2 0 1 0 0 18 24 48 4.44089209850063e-16
+2 0 1 0 0 18 24 49 4.44089209850063e-16
+2 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 4.44089209850063e-16
+2 0 0 0 0 18 24 2 4.44089209850063e-16
+2 0 0 0 0 18 24 4 4.44089209850063e-16
+2 0 0 0 0 18 24 6 4.44089209850063e-16
+2 0 0 0 0 18 24 8 4.44089209850063e-16
+2 0 0 0 0 18 24 10 4.44089209850063e-16
+2 0 0 0 0 18 24 12 4.44089209850063e-16
+2 0 0 0 0 18 24 14 4.44089209850063e-16
+2 0 0 0 0 18 24 16 4.44089209850063e-16
+2 0 0 0 0 18 24 18 4.44089209850063e-16
+2 0 0 0 0 18 24 20 4.44089209850063e-16
+2 0 0 0 0 18 24 22 4.44089209850063e-16
+2 0 0 0 0 18 24 24 4.44089209850063e-16
+2 0 0 0 0 18 24 26 4.44089209850063e-16
+2 0 0 0 0 18 24 28 4.44089209850063e-16
+2 0 0 0 0 18 24 30 4.44089209850063e-16
+2 0 0 0 0 18 24 32 4.44089209850063e-16
+2 0 0 0 0 18 24 34 4.44089209850063e-16
+2 0 0 0 0 18 24 36 4.44089209850063e-16
+2 0 0 0 0 18 24 38 4.44089209850063e-16
+2 0 0 0 0 18 24 40 4.44089209850063e-16
+2 0 0 0 0 18 24 42 4.44089209850063e-16
+2 0 0 0 0 18 24 44 4.44089209850063e-16
+2 0 0 0 0 18 24 46 4.44089209850063e-16
+2 0 0 0 0 18 24 48 4.44089209850063e-16
+2 0 0 0 0 18 24 50 4.44089209850063e-16
+2 0 0 0 0 18 24 52 4.44089209850063e-16
+2 0 0 0 0 18 24 54 4.44089209850063e-16
+2 0 0 0 0 18 24 56 4.44089209850063e-16
+2 0 0 0 0 18 24 58 4.44089209850063e-16
+2 0 0 0 0 18 24 60 4.44089209850063e-16
+2 0 0 0 0 18 24 62 4.44089209850063e-16
+2 0 0 0 0 18 24 64 4.44089209850063e-16
+2 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 4.44089209850063e-16
+3 0 1 0 0 18 24 18 4.44089209850063e-16
+3 0 1 0 0 18 24 19 4.44089209850063e-16
+3 0 1 0 0 18 24 20 4.44089209850063e-16
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+3 0 1 0 0 18 24 23 4.44089209850063e-16
+3 0 1 0 0 18 24 24 4.44089209850063e-16
+3 0 1 0 0 18 24 25 4.44089209850063e-16
+3 0 1 0 0 18 24 26 4.44089209850063e-16
+3 0 1 0 0 18 24 27 4.44089209850063e-16
+3 0 1 0 0 18 24 28 4.44089209850063e-16
+3 0 1 0 0 18 24 29 4.44089209850063e-16
+3 0 1 0 0 18 24 30 4.44089209850063e-16
+3 0 1 0 0 18 24 31 4.44089209850063e-16
+3 0 1 0 0 18 24 32 4.44089209850063e-16
+3 0 1 0 0 18 24 33 4.44089209850063e-16
+3 0 1 0 0 18 24 34 4.44089209850063e-16
+3 0 1 0 0 18 24 35 4.44089209850063e-16
+3 0 1 0 0 18 24 36 4.44089209850063e-16
+3 0 1 0 0 18 24 37 4.44089209850063e-16
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+3 0 1 0 0 18 24 43 4.44089209850063e-16
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+3 0 1 0 0 18 24 45 4.44089209850063e-16
+3 0 1 0 0 18 24 46 4.44089209850063e-16
+3 0 1 0 0 18 24 47 4.44089209850063e-16
+3 0 1 0 0 18 24 48 4.44089209850063e-16
+3 0 1 0 0 18 24 49 4.44089209850063e-16
+3 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 4.44089209850063e-16
+4 0 1 0 0 18 24 18 4.44089209850063e-16
+4 0 1 0 0 18 24 19 4.44089209850063e-16
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+4 0 1 0 0 18 24 26 4.44089209850063e-16
+4 0 1 0 0 18 24 27 4.44089209850063e-16
+4 0 1 0 0 18 24 28 4.44089209850063e-16
+4 0 1 0 0 18 24 29 4.44089209850063e-16
+4 0 1 0 0 18 24 30 4.44089209850063e-16
+4 0 1 0 0 18 24 31 4.44089209850063e-16
+4 0 1 0 0 18 24 32 4.44089209850063e-16
+4 0 1 0 0 18 24 33 4.44089209850063e-16
+4 0 1 0 0 18 24 34 4.44089209850063e-16
+4 0 1 0 0 18 24 35 4.44089209850063e-16
+4 0 1 0 0 18 24 36 4.44089209850063e-16
+4 0 1 0 0 18 24 37 4.44089209850063e-16
+4 0 1 0 0 18 24 38 4.44089209850063e-16
+4 0 1 0 0 18 24 39 4.44089209850063e-16
+4 0 1 0 0 18 24 40 4.44089209850063e-16
+4 0 1 0 0 18 24 41 4.44089209850063e-16
+4 0 1 0 0 18 24 42 4.44089209850063e-16
+4 0 1 0 0 18 24 43 4.44089209850063e-16
+4 0 1 0 0 18 24 44 4.44089209850063e-16
+4 0 1 0 0 18 24 45 4.44089209850063e-16
+4 0 1 0 0 18 24 46 4.44089209850063e-16
+4 0 1 0 0 18 24 47 4.44089209850063e-16
+4 0 1 0 0 18 24 48 4.44089209850063e-16
+4 0 1 0 0 18 24 49 4.44089209850063e-16
+4 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 4.44089209850063e-16
+4 0 0 0 0 18 24 2 4.44089209850063e-16
+4 0 0 0 0 18 24 4 4.44089209850063e-16
+4 0 0 0 0 18 24 6 4.44089209850063e-16
+4 0 0 0 0 18 24 8 4.44089209850063e-16
+4 0 0 0 0 18 24 10 4.44089209850063e-16
+4 0 0 0 0 18 24 12 4.44089209850063e-16
+4 0 0 0 0 18 24 14 4.44089209850063e-16
+4 0 0 0 0 18 24 16 4.44089209850063e-16
+4 0 0 0 0 18 24 18 4.44089209850063e-16
+4 0 0 0 0 18 24 20 4.44089209850063e-16
+4 0 0 0 0 18 24 22 4.44089209850063e-16
+4 0 0 0 0 18 24 24 4.44089209850063e-16
+4 0 0 0 0 18 24 26 4.44089209850063e-16
+4 0 0 0 0 18 24 28 4.44089209850063e-16
+4 0 0 0 0 18 24 30 4.44089209850063e-16
+4 0 0 0 0 18 24 32 4.44089209850063e-16
+4 0 0 0 0 18 24 34 4.44089209850063e-16
+4 0 0 0 0 18 24 36 4.44089209850063e-16
+4 0 0 0 0 18 24 38 4.44089209850063e-16
+4 0 0 0 0 18 24 40 4.44089209850063e-16
+4 0 0 0 0 18 24 42 4.44089209850063e-16
+4 0 0 0 0 18 24 44 4.44089209850063e-16
+4 0 0 0 0 18 24 46 4.44089209850063e-16
+4 0 0 0 0 18 24 48 4.44089209850063e-16
+4 0 0 0 0 18 24 50 4.44089209850063e-16
+4 0 0 0 0 18 24 52 4.44089209850063e-16
+4 0 0 0 0 18 24 54 4.44089209850063e-16
+4 0 0 0 0 18 24 56 4.44089209850063e-16
+4 0 0 0 0 18 24 58 4.44089209850063e-16
+4 0 0 0 0 18 24 60 4.44089209850063e-16
+4 0 0 0 0 18 24 62 4.44089209850063e-16
+4 0 0 0 0 18 24 64 4.44089209850063e-16
+4 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 4.44089209850063e-16
+5 0 1 0 0 18 24 18 4.44089209850063e-16
+5 0 1 0 0 18 24 19 4.44089209850063e-16
+5 0 1 0 0 18 24 20 4.44089209850063e-16
+5 0 1 0 0 18 24 21 4.44089209850063e-16
+5 0 1 0 0 18 24 22 4.44089209850063e-16
+5 0 1 0 0 18 24 23 4.44089209850063e-16
+5 0 1 0 0 18 24 24 4.44089209850063e-16
+5 0 1 0 0 18 24 25 4.44089209850063e-16
+5 0 1 0 0 18 24 26 4.44089209850063e-16
+5 0 1 0 0 18 24 27 4.44089209850063e-16
+5 0 1 0 0 18 24 28 4.44089209850063e-16
+5 0 1 0 0 18 24 29 4.44089209850063e-16
+5 0 1 0 0 18 24 30 4.44089209850063e-16
+5 0 1 0 0 18 24 31 4.44089209850063e-16
+5 0 1 0 0 18 24 32 4.44089209850063e-16
+5 0 1 0 0 18 24 33 4.44089209850063e-16
+5 0 1 0 0 18 24 34 4.44089209850063e-16
+5 0 1 0 0 18 24 35 4.44089209850063e-16
+5 0 1 0 0 18 24 36 4.44089209850063e-16
+5 0 1 0 0 18 24 37 4.44089209850063e-16
+5 0 1 0 0 18 24 38 4.44089209850063e-16
+5 0 1 0 0 18 24 39 4.44089209850063e-16
+5 0 1 0 0 18 24 40 4.44089209850063e-16
+5 0 1 0 0 18 24 41 4.44089209850063e-16
+5 0 1 0 0 18 24 42 4.44089209850063e-16
+5 0 1 0 0 18 24 43 4.44089209850063e-16
+5 0 1 0 0 18 24 44 4.44089209850063e-16
+5 0 1 0 0 18 24 45 4.44089209850063e-16
+5 0 1 0 0 18 24 46 4.44089209850063e-16
+5 0 1 0 0 18 24 47 4.44089209850063e-16
+5 0 1 0 0 18 24 48 4.44089209850063e-16
+5 0 1 0 0 18 24 49 4.44089209850063e-16
+5 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 4.44089209850063e-16
+6 0 1 0 0 18 24 18 4.44089209850063e-16
+6 0 1 0 0 18 24 19 4.44089209850063e-16
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+6 0 1 0 0 18 24 31 4.44089209850063e-16
+6 0 1 0 0 18 24 32 4.44089209850063e-16
+6 0 1 0 0 18 24 33 4.44089209850063e-16
+6 0 1 0 0 18 24 34 4.44089209850063e-16
+6 0 1 0 0 18 24 35 4.44089209850063e-16
+6 0 1 0 0 18 24 36 4.44089209850063e-16
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+6 0 1 0 0 18 24 49 4.44089209850063e-16
+6 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 4.44089209850063e-16
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+6 0 0 0 0 18 24 64 4.44089209850063e-16
+6 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 4.44089209850063e-16
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+7 0 1 0 0 18 24 49 4.44089209850063e-16
+7 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 4.44089209850063e-16
+8 0 1 0 0 18 24 18 4.44089209850063e-16
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+8 0 1 0 0 18 24 49 4.44089209850063e-16
+8 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 4.44089209850063e-16
+8 0 0 0 0 18 24 2 4.44089209850063e-16
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+8 0 0 0 0 18 24 64 4.44089209850063e-16
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+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 4.44089209850063e-16
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+9 0 1 0 0 18 24 49 4.44089209850063e-16
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+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 4.44089209850063e-16
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+10 0 1 0 0 18 24 49 4.44089209850063e-16
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+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 4.44089209850063e-16
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+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 4.44089209850063e-16
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+11 0 1 0 0 18 24 49 4.44089209850063e-16
+11 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 4.44089209850063e-16
+12 0 1 0 0 18 24 18 4.44089209850063e-16
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+12 0 1 0 0 18 24 49 4.44089209850063e-16
+12 0 1 0 0 18 24 50 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 4.44089209850063e-16
+12 0 0 0 0 18 24 2 4.44089209850063e-16
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+12 0 0 0 0 18 24 52 4.44089209850063e-16
+12 0 0 0 0 18 24 54 4.44089209850063e-16
+12 0 0 0 0 18 24 56 4.44089209850063e-16
+12 0 0 0 0 18 24 58 4.44089209850063e-16
+12 0 0 0 0 18 24 60 4.44089209850063e-16
+12 0 0 0 0 18 24 62 4.44089209850063e-16
+12 0 0 0 0 18 24 64 4.44089209850063e-16
+12 0 0 0 0 18 24 66 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.xl
new file mode 100644
index 000000000..463d316c5
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.xl
@@ -0,0 +1,482 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -4.44089209850063e-16
+0 0 1 0 0 10 24 32 -4.44089209850063e-16
+0 0 1 0 0 11 24 32 -4.44089209850063e-16
+0 0 1 0 0 12 24 32 -4.44089209850063e-16
+0 0 1 0 0 13 24 32 -4.44089209850063e-16
+0 0 1 0 0 14 24 32 -4.44089209850063e-16
+0 0 1 0 0 15 24 32 -4.44089209850063e-16
+0 0 1 0 0 16 24 32 -4.44089209850063e-16
+0 0 1 0 0 17 24 32 -4.44089209850063e-16
+0 0 1 0 0 18 24 32 -4.44089209850063e-16
+0 0 1 0 0 19 24 32 -4.44089209850063e-16
+0 0 1 0 0 20 24 32 -4.44089209850063e-16
+0 0 1 0 0 21 24 32 -4.44089209850063e-16
+0 0 1 0 0 22 24 32 -4.44089209850063e-16
+0 0 1 0 0 23 24 32 -4.44089209850063e-16
+0 0 1 0 0 24 24 32 -4.44089209850063e-16
+0 0 1 0 0 25 24 32 -4.44089209850063e-16
+0 0 1 0 0 26 24 32 -4.44089209850063e-16
+0 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -4.44089209850063e-16
+0 0 0 0 0 2 24 32 -4.44089209850063e-16
+0 0 0 0 0 4 24 32 -4.44089209850063e-16
+0 0 0 0 0 6 24 32 -4.44089209850063e-16
+0 0 0 0 0 8 24 32 -4.44089209850063e-16
+0 0 0 0 0 10 24 32 -4.44089209850063e-16
+0 0 0 0 0 12 24 32 -4.44089209850063e-16
+0 0 0 0 0 14 24 32 -4.44089209850063e-16
+0 0 0 0 0 16 24 32 -4.44089209850063e-16
+0 0 0 0 0 18 24 32 -4.44089209850063e-16
+0 0 0 0 0 20 24 32 -4.44089209850063e-16
+0 0 0 0 0 22 24 32 -4.44089209850063e-16
+0 0 0 0 0 24 24 32 -4.44089209850063e-16
+0 0 0 0 0 26 24 32 -4.44089209850063e-16
+0 0 0 0 0 28 24 32 -4.44089209850063e-16
+0 0 0 0 0 30 24 32 -4.44089209850063e-16
+0 0 0 0 0 32 24 32 -4.44089209850063e-16
+0 0 0 0 0 34 24 32 -4.44089209850063e-16
+0 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -4.44089209850063e-16
+1 0 1 0 0 10 24 32 -4.44089209850063e-16
+1 0 1 0 0 11 24 32 -4.44089209850063e-16
+1 0 1 0 0 12 24 32 -4.44089209850063e-16
+1 0 1 0 0 13 24 32 -4.44089209850063e-16
+1 0 1 0 0 14 24 32 -4.44089209850063e-16
+1 0 1 0 0 15 24 32 -4.44089209850063e-16
+1 0 1 0 0 16 24 32 -4.44089209850063e-16
+1 0 1 0 0 17 24 32 -4.44089209850063e-16
+1 0 1 0 0 18 24 32 -4.44089209850063e-16
+1 0 1 0 0 19 24 32 -4.44089209850063e-16
+1 0 1 0 0 20 24 32 -4.44089209850063e-16
+1 0 1 0 0 21 24 32 -4.44089209850063e-16
+1 0 1 0 0 22 24 32 -4.44089209850063e-16
+1 0 1 0 0 23 24 32 -4.44089209850063e-16
+1 0 1 0 0 24 24 32 -4.44089209850063e-16
+1 0 1 0 0 25 24 32 -4.44089209850063e-16
+1 0 1 0 0 26 24 32 -4.44089209850063e-16
+1 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 -4.44089209850063e-16
+2 0 1 0 0 10 24 32 -4.44089209850063e-16
+2 0 1 0 0 11 24 32 -4.44089209850063e-16
+2 0 1 0 0 12 24 32 -4.44089209850063e-16
+2 0 1 0 0 13 24 32 -4.44089209850063e-16
+2 0 1 0 0 14 24 32 -4.44089209850063e-16
+2 0 1 0 0 15 24 32 -4.44089209850063e-16
+2 0 1 0 0 16 24 32 -4.44089209850063e-16
+2 0 1 0 0 17 24 32 -4.44089209850063e-16
+2 0 1 0 0 18 24 32 -4.44089209850063e-16
+2 0 1 0 0 19 24 32 -4.44089209850063e-16
+2 0 1 0 0 20 24 32 -4.44089209850063e-16
+2 0 1 0 0 21 24 32 -4.44089209850063e-16
+2 0 1 0 0 22 24 32 -4.44089209850063e-16
+2 0 1 0 0 23 24 32 -4.44089209850063e-16
+2 0 1 0 0 24 24 32 -4.44089209850063e-16
+2 0 1 0 0 25 24 32 -4.44089209850063e-16
+2 0 1 0 0 26 24 32 -4.44089209850063e-16
+2 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -4.44089209850063e-16
+2 0 0 0 0 2 24 32 -4.44089209850063e-16
+2 0 0 0 0 4 24 32 -4.44089209850063e-16
+2 0 0 0 0 6 24 32 -4.44089209850063e-16
+2 0 0 0 0 8 24 32 -4.44089209850063e-16
+2 0 0 0 0 10 24 32 -4.44089209850063e-16
+2 0 0 0 0 12 24 32 -4.44089209850063e-16
+2 0 0 0 0 14 24 32 -4.44089209850063e-16
+2 0 0 0 0 16 24 32 -4.44089209850063e-16
+2 0 0 0 0 18 24 32 -4.44089209850063e-16
+2 0 0 0 0 20 24 32 -4.44089209850063e-16
+2 0 0 0 0 22 24 32 -4.44089209850063e-16
+2 0 0 0 0 24 24 32 -4.44089209850063e-16
+2 0 0 0 0 26 24 32 -4.44089209850063e-16
+2 0 0 0 0 28 24 32 -4.44089209850063e-16
+2 0 0 0 0 30 24 32 -4.44089209850063e-16
+2 0 0 0 0 32 24 32 -4.44089209850063e-16
+2 0 0 0 0 34 24 32 -4.44089209850063e-16
+2 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 -4.44089209850063e-16
+3 0 1 0 0 10 24 32 -4.44089209850063e-16
+3 0 1 0 0 11 24 32 -4.44089209850063e-16
+3 0 1 0 0 12 24 32 -4.44089209850063e-16
+3 0 1 0 0 13 24 32 -4.44089209850063e-16
+3 0 1 0 0 14 24 32 -4.44089209850063e-16
+3 0 1 0 0 15 24 32 -4.44089209850063e-16
+3 0 1 0 0 16 24 32 -4.44089209850063e-16
+3 0 1 0 0 17 24 32 -4.44089209850063e-16
+3 0 1 0 0 18 24 32 -4.44089209850063e-16
+3 0 1 0 0 19 24 32 -4.44089209850063e-16
+3 0 1 0 0 20 24 32 -4.44089209850063e-16
+3 0 1 0 0 21 24 32 -4.44089209850063e-16
+3 0 1 0 0 22 24 32 -4.44089209850063e-16
+3 0 1 0 0 23 24 32 -4.44089209850063e-16
+3 0 1 0 0 24 24 32 -4.44089209850063e-16
+3 0 1 0 0 25 24 32 -4.44089209850063e-16
+3 0 1 0 0 26 24 32 -4.44089209850063e-16
+3 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 -4.44089209850063e-16
+4 0 1 0 0 10 24 32 -4.44089209850063e-16
+4 0 1 0 0 11 24 32 -4.44089209850063e-16
+4 0 1 0 0 12 24 32 -4.44089209850063e-16
+4 0 1 0 0 13 24 32 -4.44089209850063e-16
+4 0 1 0 0 14 24 32 -4.44089209850063e-16
+4 0 1 0 0 15 24 32 -4.44089209850063e-16
+4 0 1 0 0 16 24 32 -4.44089209850063e-16
+4 0 1 0 0 17 24 32 -4.44089209850063e-16
+4 0 1 0 0 18 24 32 -4.44089209850063e-16
+4 0 1 0 0 19 24 32 -4.44089209850063e-16
+4 0 1 0 0 20 24 32 -4.44089209850063e-16
+4 0 1 0 0 21 24 32 -4.44089209850063e-16
+4 0 1 0 0 22 24 32 -4.44089209850063e-16
+4 0 1 0 0 23 24 32 -4.44089209850063e-16
+4 0 1 0 0 24 24 32 -4.44089209850063e-16
+4 0 1 0 0 25 24 32 -4.44089209850063e-16
+4 0 1 0 0 26 24 32 -4.44089209850063e-16
+4 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -4.44089209850063e-16
+4 0 0 0 0 2 24 32 -4.44089209850063e-16
+4 0 0 0 0 4 24 32 -4.44089209850063e-16
+4 0 0 0 0 6 24 32 -4.44089209850063e-16
+4 0 0 0 0 8 24 32 -4.44089209850063e-16
+4 0 0 0 0 10 24 32 -4.44089209850063e-16
+4 0 0 0 0 12 24 32 -4.44089209850063e-16
+4 0 0 0 0 14 24 32 -4.44089209850063e-16
+4 0 0 0 0 16 24 32 -4.44089209850063e-16
+4 0 0 0 0 18 24 32 -4.44089209850063e-16
+4 0 0 0 0 20 24 32 -4.44089209850063e-16
+4 0 0 0 0 22 24 32 -4.44089209850063e-16
+4 0 0 0 0 24 24 32 -4.44089209850063e-16
+4 0 0 0 0 26 24 32 -4.44089209850063e-16
+4 0 0 0 0 28 24 32 -4.44089209850063e-16
+4 0 0 0 0 30 24 32 -4.44089209850063e-16
+4 0 0 0 0 32 24 32 -4.44089209850063e-16
+4 0 0 0 0 34 24 32 -4.44089209850063e-16
+4 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 -4.44089209850063e-16
+5 0 1 0 0 10 24 32 -4.44089209850063e-16
+5 0 1 0 0 11 24 32 -4.44089209850063e-16
+5 0 1 0 0 12 24 32 -4.44089209850063e-16
+5 0 1 0 0 13 24 32 -4.44089209850063e-16
+5 0 1 0 0 14 24 32 -4.44089209850063e-16
+5 0 1 0 0 15 24 32 -4.44089209850063e-16
+5 0 1 0 0 16 24 32 -4.44089209850063e-16
+5 0 1 0 0 17 24 32 -4.44089209850063e-16
+5 0 1 0 0 18 24 32 -4.44089209850063e-16
+5 0 1 0 0 19 24 32 -4.44089209850063e-16
+5 0 1 0 0 20 24 32 -4.44089209850063e-16
+5 0 1 0 0 21 24 32 -4.44089209850063e-16
+5 0 1 0 0 22 24 32 -4.44089209850063e-16
+5 0 1 0 0 23 24 32 -4.44089209850063e-16
+5 0 1 0 0 24 24 32 -4.44089209850063e-16
+5 0 1 0 0 25 24 32 -4.44089209850063e-16
+5 0 1 0 0 26 24 32 -4.44089209850063e-16
+5 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 -4.44089209850063e-16
+6 0 1 0 0 10 24 32 -4.44089209850063e-16
+6 0 1 0 0 11 24 32 -4.44089209850063e-16
+6 0 1 0 0 12 24 32 -4.44089209850063e-16
+6 0 1 0 0 13 24 32 -4.44089209850063e-16
+6 0 1 0 0 14 24 32 -4.44089209850063e-16
+6 0 1 0 0 15 24 32 -4.44089209850063e-16
+6 0 1 0 0 16 24 32 -4.44089209850063e-16
+6 0 1 0 0 17 24 32 -4.44089209850063e-16
+6 0 1 0 0 18 24 32 -4.44089209850063e-16
+6 0 1 0 0 19 24 32 -4.44089209850063e-16
+6 0 1 0 0 20 24 32 -4.44089209850063e-16
+6 0 1 0 0 21 24 32 -4.44089209850063e-16
+6 0 1 0 0 22 24 32 -4.44089209850063e-16
+6 0 1 0 0 23 24 32 -4.44089209850063e-16
+6 0 1 0 0 24 24 32 -4.44089209850063e-16
+6 0 1 0 0 25 24 32 -4.44089209850063e-16
+6 0 1 0 0 26 24 32 -4.44089209850063e-16
+6 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -4.44089209850063e-16
+6 0 0 0 0 2 24 32 -4.44089209850063e-16
+6 0 0 0 0 4 24 32 -4.44089209850063e-16
+6 0 0 0 0 6 24 32 -4.44089209850063e-16
+6 0 0 0 0 8 24 32 -4.44089209850063e-16
+6 0 0 0 0 10 24 32 -4.44089209850063e-16
+6 0 0 0 0 12 24 32 -4.44089209850063e-16
+6 0 0 0 0 14 24 32 -4.44089209850063e-16
+6 0 0 0 0 16 24 32 -4.44089209850063e-16
+6 0 0 0 0 18 24 32 -4.44089209850063e-16
+6 0 0 0 0 20 24 32 -4.44089209850063e-16
+6 0 0 0 0 22 24 32 -4.44089209850063e-16
+6 0 0 0 0 24 24 32 -4.44089209850063e-16
+6 0 0 0 0 26 24 32 -4.44089209850063e-16
+6 0 0 0 0 28 24 32 -4.44089209850063e-16
+6 0 0 0 0 30 24 32 -4.44089209850063e-16
+6 0 0 0 0 32 24 32 -4.44089209850063e-16
+6 0 0 0 0 34 24 32 -4.44089209850063e-16
+6 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 -4.44089209850063e-16
+7 0 1 0 0 10 24 32 -4.44089209850063e-16
+7 0 1 0 0 11 24 32 -4.44089209850063e-16
+7 0 1 0 0 12 24 32 -4.44089209850063e-16
+7 0 1 0 0 13 24 32 -4.44089209850063e-16
+7 0 1 0 0 14 24 32 -4.44089209850063e-16
+7 0 1 0 0 15 24 32 -4.44089209850063e-16
+7 0 1 0 0 16 24 32 -4.44089209850063e-16
+7 0 1 0 0 17 24 32 -4.44089209850063e-16
+7 0 1 0 0 18 24 32 -4.44089209850063e-16
+7 0 1 0 0 19 24 32 -4.44089209850063e-16
+7 0 1 0 0 20 24 32 -4.44089209850063e-16
+7 0 1 0 0 21 24 32 -4.44089209850063e-16
+7 0 1 0 0 22 24 32 -4.44089209850063e-16
+7 0 1 0 0 23 24 32 -4.44089209850063e-16
+7 0 1 0 0 24 24 32 -4.44089209850063e-16
+7 0 1 0 0 25 24 32 -4.44089209850063e-16
+7 0 1 0 0 26 24 32 -4.44089209850063e-16
+7 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 -4.44089209850063e-16
+8 0 1 0 0 10 24 32 -4.44089209850063e-16
+8 0 1 0 0 11 24 32 -4.44089209850063e-16
+8 0 1 0 0 12 24 32 -4.44089209850063e-16
+8 0 1 0 0 13 24 32 -4.44089209850063e-16
+8 0 1 0 0 14 24 32 -4.44089209850063e-16
+8 0 1 0 0 15 24 32 -4.44089209850063e-16
+8 0 1 0 0 16 24 32 -4.44089209850063e-16
+8 0 1 0 0 17 24 32 -4.44089209850063e-16
+8 0 1 0 0 18 24 32 -4.44089209850063e-16
+8 0 1 0 0 19 24 32 -4.44089209850063e-16
+8 0 1 0 0 20 24 32 -4.44089209850063e-16
+8 0 1 0 0 21 24 32 -4.44089209850063e-16
+8 0 1 0 0 22 24 32 -4.44089209850063e-16
+8 0 1 0 0 23 24 32 -4.44089209850063e-16
+8 0 1 0 0 24 24 32 -4.44089209850063e-16
+8 0 1 0 0 25 24 32 -4.44089209850063e-16
+8 0 1 0 0 26 24 32 -4.44089209850063e-16
+8 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -4.44089209850063e-16
+8 0 0 0 0 2 24 32 -4.44089209850063e-16
+8 0 0 0 0 4 24 32 -4.44089209850063e-16
+8 0 0 0 0 6 24 32 -4.44089209850063e-16
+8 0 0 0 0 8 24 32 -4.44089209850063e-16
+8 0 0 0 0 10 24 32 -4.44089209850063e-16
+8 0 0 0 0 12 24 32 -4.44089209850063e-16
+8 0 0 0 0 14 24 32 -4.44089209850063e-16
+8 0 0 0 0 16 24 32 -4.44089209850063e-16
+8 0 0 0 0 18 24 32 -4.44089209850063e-16
+8 0 0 0 0 20 24 32 -4.44089209850063e-16
+8 0 0 0 0 22 24 32 -4.44089209850063e-16
+8 0 0 0 0 24 24 32 -4.44089209850063e-16
+8 0 0 0 0 26 24 32 -4.44089209850063e-16
+8 0 0 0 0 28 24 32 -4.44089209850063e-16
+8 0 0 0 0 30 24 32 -4.44089209850063e-16
+8 0 0 0 0 32 24 32 -4.44089209850063e-16
+8 0 0 0 0 34 24 32 -4.44089209850063e-16
+8 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 -4.44089209850063e-16
+9 0 1 0 0 10 24 32 -4.44089209850063e-16
+9 0 1 0 0 11 24 32 -4.44089209850063e-16
+9 0 1 0 0 12 24 32 -4.44089209850063e-16
+9 0 1 0 0 13 24 32 -4.44089209850063e-16
+9 0 1 0 0 14 24 32 -4.44089209850063e-16
+9 0 1 0 0 15 24 32 -4.44089209850063e-16
+9 0 1 0 0 16 24 32 -4.44089209850063e-16
+9 0 1 0 0 17 24 32 -4.44089209850063e-16
+9 0 1 0 0 18 24 32 -4.44089209850063e-16
+9 0 1 0 0 19 24 32 -4.44089209850063e-16
+9 0 1 0 0 20 24 32 -4.44089209850063e-16
+9 0 1 0 0 21 24 32 -4.44089209850063e-16
+9 0 1 0 0 22 24 32 -4.44089209850063e-16
+9 0 1 0 0 23 24 32 -4.44089209850063e-16
+9 0 1 0 0 24 24 32 -4.44089209850063e-16
+9 0 1 0 0 25 24 32 -4.44089209850063e-16
+9 0 1 0 0 26 24 32 -4.44089209850063e-16
+9 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 -4.44089209850063e-16
+10 0 1 0 0 10 24 32 -4.44089209850063e-16
+10 0 1 0 0 11 24 32 -4.44089209850063e-16
+10 0 1 0 0 12 24 32 -4.44089209850063e-16
+10 0 1 0 0 13 24 32 -4.44089209850063e-16
+10 0 1 0 0 14 24 32 -4.44089209850063e-16
+10 0 1 0 0 15 24 32 -4.44089209850063e-16
+10 0 1 0 0 16 24 32 -4.44089209850063e-16
+10 0 1 0 0 17 24 32 -4.44089209850063e-16
+10 0 1 0 0 18 24 32 -4.44089209850063e-16
+10 0 1 0 0 19 24 32 -4.44089209850063e-16
+10 0 1 0 0 20 24 32 -4.44089209850063e-16
+10 0 1 0 0 21 24 32 -4.44089209850063e-16
+10 0 1 0 0 22 24 32 -4.44089209850063e-16
+10 0 1 0 0 23 24 32 -4.44089209850063e-16
+10 0 1 0 0 24 24 32 -4.44089209850063e-16
+10 0 1 0 0 25 24 32 -4.44089209850063e-16
+10 0 1 0 0 26 24 32 -4.44089209850063e-16
+10 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -4.44089209850063e-16
+10 0 0 0 0 2 24 32 -4.44089209850063e-16
+10 0 0 0 0 4 24 32 -4.44089209850063e-16
+10 0 0 0 0 6 24 32 -4.44089209850063e-16
+10 0 0 0 0 8 24 32 -4.44089209850063e-16
+10 0 0 0 0 10 24 32 -4.44089209850063e-16
+10 0 0 0 0 12 24 32 -4.44089209850063e-16
+10 0 0 0 0 14 24 32 -4.44089209850063e-16
+10 0 0 0 0 16 24 32 -4.44089209850063e-16
+10 0 0 0 0 18 24 32 -4.44089209850063e-16
+10 0 0 0 0 20 24 32 -4.44089209850063e-16
+10 0 0 0 0 22 24 32 -4.44089209850063e-16
+10 0 0 0 0 24 24 32 -4.44089209850063e-16
+10 0 0 0 0 26 24 32 -4.44089209850063e-16
+10 0 0 0 0 28 24 32 -4.44089209850063e-16
+10 0 0 0 0 30 24 32 -4.44089209850063e-16
+10 0 0 0 0 32 24 32 -4.44089209850063e-16
+10 0 0 0 0 34 24 32 -4.44089209850063e-16
+10 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 -4.44089209850063e-16
+11 0 1 0 0 10 24 32 -4.44089209850063e-16
+11 0 1 0 0 11 24 32 -4.44089209850063e-16
+11 0 1 0 0 12 24 32 -4.44089209850063e-16
+11 0 1 0 0 13 24 32 -4.44089209850063e-16
+11 0 1 0 0 14 24 32 -4.44089209850063e-16
+11 0 1 0 0 15 24 32 -4.44089209850063e-16
+11 0 1 0 0 16 24 32 -4.44089209850063e-16
+11 0 1 0 0 17 24 32 -4.44089209850063e-16
+11 0 1 0 0 18 24 32 -4.44089209850063e-16
+11 0 1 0 0 19 24 32 -4.44089209850063e-16
+11 0 1 0 0 20 24 32 -4.44089209850063e-16
+11 0 1 0 0 21 24 32 -4.44089209850063e-16
+11 0 1 0 0 22 24 32 -4.44089209850063e-16
+11 0 1 0 0 23 24 32 -4.44089209850063e-16
+11 0 1 0 0 24 24 32 -4.44089209850063e-16
+11 0 1 0 0 25 24 32 -4.44089209850063e-16
+11 0 1 0 0 26 24 32 -4.44089209850063e-16
+11 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 -4.44089209850063e-16
+12 0 1 0 0 10 24 32 -4.44089209850063e-16
+12 0 1 0 0 11 24 32 -4.44089209850063e-16
+12 0 1 0 0 12 24 32 -4.44089209850063e-16
+12 0 1 0 0 13 24 32 -4.44089209850063e-16
+12 0 1 0 0 14 24 32 -4.44089209850063e-16
+12 0 1 0 0 15 24 32 -4.44089209850063e-16
+12 0 1 0 0 16 24 32 -4.44089209850063e-16
+12 0 1 0 0 17 24 32 -4.44089209850063e-16
+12 0 1 0 0 18 24 32 -4.44089209850063e-16
+12 0 1 0 0 19 24 32 -4.44089209850063e-16
+12 0 1 0 0 20 24 32 -4.44089209850063e-16
+12 0 1 0 0 21 24 32 -4.44089209850063e-16
+12 0 1 0 0 22 24 32 -4.44089209850063e-16
+12 0 1 0 0 23 24 32 -4.44089209850063e-16
+12 0 1 0 0 24 24 32 -4.44089209850063e-16
+12 0 1 0 0 25 24 32 -4.44089209850063e-16
+12 0 1 0 0 26 24 32 -4.44089209850063e-16
+12 0 1 0 0 27 24 32 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -4.44089209850063e-16
+12 0 0 0 0 2 24 32 -4.44089209850063e-16
+12 0 0 0 0 4 24 32 -4.44089209850063e-16
+12 0 0 0 0 6 24 32 -4.44089209850063e-16
+12 0 0 0 0 8 24 32 -4.44089209850063e-16
+12 0 0 0 0 10 24 32 -4.44089209850063e-16
+12 0 0 0 0 12 24 32 -4.44089209850063e-16
+12 0 0 0 0 14 24 32 -4.44089209850063e-16
+12 0 0 0 0 16 24 32 -4.44089209850063e-16
+12 0 0 0 0 18 24 32 -4.44089209850063e-16
+12 0 0 0 0 20 24 32 -4.44089209850063e-16
+12 0 0 0 0 22 24 32 -4.44089209850063e-16
+12 0 0 0 0 24 24 32 -4.44089209850063e-16
+12 0 0 0 0 26 24 32 -4.44089209850063e-16
+12 0 0 0 0 28 24 32 -4.44089209850063e-16
+12 0 0 0 0 30 24 32 -4.44089209850063e-16
+12 0 0 0 0 32 24 32 -4.44089209850063e-16
+12 0 0 0 0 34 24 32 -4.44089209850063e-16
+12 0 0 0 0 36 24 32 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.yl
new file mode 100644
index 000000000..6f89efa80
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.yl
@@ -0,0 +1,622 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -3.3
+0 0 1 0 0 18 14 32 -3
+0 0 1 0 0 18 15 32 -2.7
+0 0 1 0 0 18 16 32 -2.4
+0 0 1 0 0 18 17 32 -2.1
+0 0 1 0 0 18 18 32 -1.8
+0 0 1 0 0 18 19 32 -1.5
+0 0 1 0 0 18 20 32 -1.2
+0 0 1 0 0 18 21 32 -0.9
+0 0 1 0 0 18 22 32 -0.6
+0 0 1 0 0 18 23 32 -0.3
+0 0 1 0 0 18 24 32 -4.44089209850063e-16
+0 0 1 0 0 18 25 32 0.3
+0 0 1 0 0 18 26 32 0.6
+0 0 1 0 0 18 27 32 0.899999999999999
+0 0 1 0 0 18 28 32 1.2
+0 0 1 0 0 18 29 32 1.5
+0 0 1 0 0 18 30 32 1.8
+0 0 1 0 0 18 31 32 2.1
+0 0 1 0 0 18 32 32 2.4
+0 0 1 0 0 18 33 32 2.7
+0 0 1 0 0 18 34 32 3
+0 0 1 0 0 18 35 32 3.3
+0 0 1 0 0 18 36 32 3.6
+0 0 1 0 0 18 37 32 3.9
+0 0 1 0 0 18 38 32 4.2
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -7.2
+0 0 0 0 0 18 2 32 -6.6
+0 0 0 0 0 18 4 32 -6
+0 0 0 0 0 18 6 32 -5.4
+0 0 0 0 0 18 8 32 -4.8
+0 0 0 0 0 18 10 32 -4.2
+0 0 0 0 0 18 12 32 -3.6
+0 0 0 0 0 18 14 32 -3
+0 0 0 0 0 18 16 32 -2.4
+0 0 0 0 0 18 18 32 -1.8
+0 0 0 0 0 18 20 32 -1.2
+0 0 0 0 0 18 22 32 -0.6
+0 0 0 0 0 18 24 32 -4.44089209850063e-16
+0 0 0 0 0 18 26 32 0.6
+0 0 0 0 0 18 28 32 1.2
+0 0 0 0 0 18 30 32 1.8
+0 0 0 0 0 18 32 32 2.4
+0 0 0 0 0 18 34 32 3
+0 0 0 0 0 18 36 32 3.6
+0 0 0 0 0 18 38 32 4.2
+0 0 0 0 0 18 40 32 4.8
+0 0 0 0 0 18 42 32 5.4
+0 0 0 0 0 18 44 32 6
+0 0 0 0 0 18 46 32 6.6
+0 0 0 0 0 18 48 32 7.2
+0 0 0 0 0 18 50 32 7.8
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 -3.3
+1 0 1 0 0 18 14 32 -3
+1 0 1 0 0 18 15 32 -2.7
+1 0 1 0 0 18 16 32 -2.4
+1 0 1 0 0 18 17 32 -2.1
+1 0 1 0 0 18 18 32 -1.8
+1 0 1 0 0 18 19 32 -1.5
+1 0 1 0 0 18 20 32 -1.2
+1 0 1 0 0 18 21 32 -0.9
+1 0 1 0 0 18 22 32 -0.6
+1 0 1 0 0 18 23 32 -0.3
+1 0 1 0 0 18 24 32 -4.44089209850063e-16
+1 0 1 0 0 18 25 32 0.3
+1 0 1 0 0 18 26 32 0.6
+1 0 1 0 0 18 27 32 0.899999999999999
+1 0 1 0 0 18 28 32 1.2
+1 0 1 0 0 18 29 32 1.5
+1 0 1 0 0 18 30 32 1.8
+1 0 1 0 0 18 31 32 2.1
+1 0 1 0 0 18 32 32 2.4
+1 0 1 0 0 18 33 32 2.7
+1 0 1 0 0 18 34 32 3
+1 0 1 0 0 18 35 32 3.3
+1 0 1 0 0 18 36 32 3.6
+1 0 1 0 0 18 37 32 3.9
+1 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 -3.3
+2 0 1 0 0 18 14 32 -3
+2 0 1 0 0 18 15 32 -2.7
+2 0 1 0 0 18 16 32 -2.4
+2 0 1 0 0 18 17 32 -2.1
+2 0 1 0 0 18 18 32 -1.8
+2 0 1 0 0 18 19 32 -1.5
+2 0 1 0 0 18 20 32 -1.2
+2 0 1 0 0 18 21 32 -0.9
+2 0 1 0 0 18 22 32 -0.6
+2 0 1 0 0 18 23 32 -0.3
+2 0 1 0 0 18 24 32 -4.44089209850063e-16
+2 0 1 0 0 18 25 32 0.3
+2 0 1 0 0 18 26 32 0.6
+2 0 1 0 0 18 27 32 0.899999999999999
+2 0 1 0 0 18 28 32 1.2
+2 0 1 0 0 18 29 32 1.5
+2 0 1 0 0 18 30 32 1.8
+2 0 1 0 0 18 31 32 2.1
+2 0 1 0 0 18 32 32 2.4
+2 0 1 0 0 18 33 32 2.7
+2 0 1 0 0 18 34 32 3
+2 0 1 0 0 18 35 32 3.3
+2 0 1 0 0 18 36 32 3.6
+2 0 1 0 0 18 37 32 3.9
+2 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 -7.2
+2 0 0 0 0 18 2 32 -6.6
+2 0 0 0 0 18 4 32 -6
+2 0 0 0 0 18 6 32 -5.4
+2 0 0 0 0 18 8 32 -4.8
+2 0 0 0 0 18 10 32 -4.2
+2 0 0 0 0 18 12 32 -3.6
+2 0 0 0 0 18 14 32 -3
+2 0 0 0 0 18 16 32 -2.4
+2 0 0 0 0 18 18 32 -1.8
+2 0 0 0 0 18 20 32 -1.2
+2 0 0 0 0 18 22 32 -0.6
+2 0 0 0 0 18 24 32 -4.44089209850063e-16
+2 0 0 0 0 18 26 32 0.6
+2 0 0 0 0 18 28 32 1.2
+2 0 0 0 0 18 30 32 1.8
+2 0 0 0 0 18 32 32 2.4
+2 0 0 0 0 18 34 32 3
+2 0 0 0 0 18 36 32 3.6
+2 0 0 0 0 18 38 32 4.2
+2 0 0 0 0 18 40 32 4.8
+2 0 0 0 0 18 42 32 5.4
+2 0 0 0 0 18 44 32 6
+2 0 0 0 0 18 46 32 6.6
+2 0 0 0 0 18 48 32 7.2
+2 0 0 0 0 18 50 32 7.8
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 -3.3
+3 0 1 0 0 18 14 32 -3
+3 0 1 0 0 18 15 32 -2.7
+3 0 1 0 0 18 16 32 -2.4
+3 0 1 0 0 18 17 32 -2.1
+3 0 1 0 0 18 18 32 -1.8
+3 0 1 0 0 18 19 32 -1.5
+3 0 1 0 0 18 20 32 -1.2
+3 0 1 0 0 18 21 32 -0.9
+3 0 1 0 0 18 22 32 -0.6
+3 0 1 0 0 18 23 32 -0.3
+3 0 1 0 0 18 24 32 -4.44089209850063e-16
+3 0 1 0 0 18 25 32 0.3
+3 0 1 0 0 18 26 32 0.6
+3 0 1 0 0 18 27 32 0.899999999999999
+3 0 1 0 0 18 28 32 1.2
+3 0 1 0 0 18 29 32 1.5
+3 0 1 0 0 18 30 32 1.8
+3 0 1 0 0 18 31 32 2.1
+3 0 1 0 0 18 32 32 2.4
+3 0 1 0 0 18 33 32 2.7
+3 0 1 0 0 18 34 32 3
+3 0 1 0 0 18 35 32 3.3
+3 0 1 0 0 18 36 32 3.6
+3 0 1 0 0 18 37 32 3.9
+3 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 -3.3
+4 0 1 0 0 18 14 32 -3
+4 0 1 0 0 18 15 32 -2.7
+4 0 1 0 0 18 16 32 -2.4
+4 0 1 0 0 18 17 32 -2.1
+4 0 1 0 0 18 18 32 -1.8
+4 0 1 0 0 18 19 32 -1.5
+4 0 1 0 0 18 20 32 -1.2
+4 0 1 0 0 18 21 32 -0.9
+4 0 1 0 0 18 22 32 -0.6
+4 0 1 0 0 18 23 32 -0.3
+4 0 1 0 0 18 24 32 -4.44089209850063e-16
+4 0 1 0 0 18 25 32 0.3
+4 0 1 0 0 18 26 32 0.6
+4 0 1 0 0 18 27 32 0.899999999999999
+4 0 1 0 0 18 28 32 1.2
+4 0 1 0 0 18 29 32 1.5
+4 0 1 0 0 18 30 32 1.8
+4 0 1 0 0 18 31 32 2.1
+4 0 1 0 0 18 32 32 2.4
+4 0 1 0 0 18 33 32 2.7
+4 0 1 0 0 18 34 32 3
+4 0 1 0 0 18 35 32 3.3
+4 0 1 0 0 18 36 32 3.6
+4 0 1 0 0 18 37 32 3.9
+4 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 -7.2
+4 0 0 0 0 18 2 32 -6.6
+4 0 0 0 0 18 4 32 -6
+4 0 0 0 0 18 6 32 -5.4
+4 0 0 0 0 18 8 32 -4.8
+4 0 0 0 0 18 10 32 -4.2
+4 0 0 0 0 18 12 32 -3.6
+4 0 0 0 0 18 14 32 -3
+4 0 0 0 0 18 16 32 -2.4
+4 0 0 0 0 18 18 32 -1.8
+4 0 0 0 0 18 20 32 -1.2
+4 0 0 0 0 18 22 32 -0.6
+4 0 0 0 0 18 24 32 -4.44089209850063e-16
+4 0 0 0 0 18 26 32 0.6
+4 0 0 0 0 18 28 32 1.2
+4 0 0 0 0 18 30 32 1.8
+4 0 0 0 0 18 32 32 2.4
+4 0 0 0 0 18 34 32 3
+4 0 0 0 0 18 36 32 3.6
+4 0 0 0 0 18 38 32 4.2
+4 0 0 0 0 18 40 32 4.8
+4 0 0 0 0 18 42 32 5.4
+4 0 0 0 0 18 44 32 6
+4 0 0 0 0 18 46 32 6.6
+4 0 0 0 0 18 48 32 7.2
+4 0 0 0 0 18 50 32 7.8
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 -3.3
+5 0 1 0 0 18 14 32 -3
+5 0 1 0 0 18 15 32 -2.7
+5 0 1 0 0 18 16 32 -2.4
+5 0 1 0 0 18 17 32 -2.1
+5 0 1 0 0 18 18 32 -1.8
+5 0 1 0 0 18 19 32 -1.5
+5 0 1 0 0 18 20 32 -1.2
+5 0 1 0 0 18 21 32 -0.9
+5 0 1 0 0 18 22 32 -0.6
+5 0 1 0 0 18 23 32 -0.3
+5 0 1 0 0 18 24 32 -4.44089209850063e-16
+5 0 1 0 0 18 25 32 0.3
+5 0 1 0 0 18 26 32 0.6
+5 0 1 0 0 18 27 32 0.899999999999999
+5 0 1 0 0 18 28 32 1.2
+5 0 1 0 0 18 29 32 1.5
+5 0 1 0 0 18 30 32 1.8
+5 0 1 0 0 18 31 32 2.1
+5 0 1 0 0 18 32 32 2.4
+5 0 1 0 0 18 33 32 2.7
+5 0 1 0 0 18 34 32 3
+5 0 1 0 0 18 35 32 3.3
+5 0 1 0 0 18 36 32 3.6
+5 0 1 0 0 18 37 32 3.9
+5 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 -3.3
+6 0 1 0 0 18 14 32 -3
+6 0 1 0 0 18 15 32 -2.7
+6 0 1 0 0 18 16 32 -2.4
+6 0 1 0 0 18 17 32 -2.1
+6 0 1 0 0 18 18 32 -1.8
+6 0 1 0 0 18 19 32 -1.5
+6 0 1 0 0 18 20 32 -1.2
+6 0 1 0 0 18 21 32 -0.9
+6 0 1 0 0 18 22 32 -0.6
+6 0 1 0 0 18 23 32 -0.3
+6 0 1 0 0 18 24 32 -4.44089209850063e-16
+6 0 1 0 0 18 25 32 0.3
+6 0 1 0 0 18 26 32 0.6
+6 0 1 0 0 18 27 32 0.899999999999999
+6 0 1 0 0 18 28 32 1.2
+6 0 1 0 0 18 29 32 1.5
+6 0 1 0 0 18 30 32 1.8
+6 0 1 0 0 18 31 32 2.1
+6 0 1 0 0 18 32 32 2.4
+6 0 1 0 0 18 33 32 2.7
+6 0 1 0 0 18 34 32 3
+6 0 1 0 0 18 35 32 3.3
+6 0 1 0 0 18 36 32 3.6
+6 0 1 0 0 18 37 32 3.9
+6 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 -7.2
+6 0 0 0 0 18 2 32 -6.6
+6 0 0 0 0 18 4 32 -6
+6 0 0 0 0 18 6 32 -5.4
+6 0 0 0 0 18 8 32 -4.8
+6 0 0 0 0 18 10 32 -4.2
+6 0 0 0 0 18 12 32 -3.6
+6 0 0 0 0 18 14 32 -3
+6 0 0 0 0 18 16 32 -2.4
+6 0 0 0 0 18 18 32 -1.8
+6 0 0 0 0 18 20 32 -1.2
+6 0 0 0 0 18 22 32 -0.6
+6 0 0 0 0 18 24 32 -4.44089209850063e-16
+6 0 0 0 0 18 26 32 0.6
+6 0 0 0 0 18 28 32 1.2
+6 0 0 0 0 18 30 32 1.8
+6 0 0 0 0 18 32 32 2.4
+6 0 0 0 0 18 34 32 3
+6 0 0 0 0 18 36 32 3.6
+6 0 0 0 0 18 38 32 4.2
+6 0 0 0 0 18 40 32 4.8
+6 0 0 0 0 18 42 32 5.4
+6 0 0 0 0 18 44 32 6
+6 0 0 0 0 18 46 32 6.6
+6 0 0 0 0 18 48 32 7.2
+6 0 0 0 0 18 50 32 7.8
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 -3.3
+7 0 1 0 0 18 14 32 -3
+7 0 1 0 0 18 15 32 -2.7
+7 0 1 0 0 18 16 32 -2.4
+7 0 1 0 0 18 17 32 -2.1
+7 0 1 0 0 18 18 32 -1.8
+7 0 1 0 0 18 19 32 -1.5
+7 0 1 0 0 18 20 32 -1.2
+7 0 1 0 0 18 21 32 -0.9
+7 0 1 0 0 18 22 32 -0.6
+7 0 1 0 0 18 23 32 -0.3
+7 0 1 0 0 18 24 32 -4.44089209850063e-16
+7 0 1 0 0 18 25 32 0.3
+7 0 1 0 0 18 26 32 0.6
+7 0 1 0 0 18 27 32 0.899999999999999
+7 0 1 0 0 18 28 32 1.2
+7 0 1 0 0 18 29 32 1.5
+7 0 1 0 0 18 30 32 1.8
+7 0 1 0 0 18 31 32 2.1
+7 0 1 0 0 18 32 32 2.4
+7 0 1 0 0 18 33 32 2.7
+7 0 1 0 0 18 34 32 3
+7 0 1 0 0 18 35 32 3.3
+7 0 1 0 0 18 36 32 3.6
+7 0 1 0 0 18 37 32 3.9
+7 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 -3.3
+8 0 1 0 0 18 14 32 -3
+8 0 1 0 0 18 15 32 -2.7
+8 0 1 0 0 18 16 32 -2.4
+8 0 1 0 0 18 17 32 -2.1
+8 0 1 0 0 18 18 32 -1.8
+8 0 1 0 0 18 19 32 -1.5
+8 0 1 0 0 18 20 32 -1.2
+8 0 1 0 0 18 21 32 -0.9
+8 0 1 0 0 18 22 32 -0.6
+8 0 1 0 0 18 23 32 -0.3
+8 0 1 0 0 18 24 32 -4.44089209850063e-16
+8 0 1 0 0 18 25 32 0.3
+8 0 1 0 0 18 26 32 0.6
+8 0 1 0 0 18 27 32 0.899999999999999
+8 0 1 0 0 18 28 32 1.2
+8 0 1 0 0 18 29 32 1.5
+8 0 1 0 0 18 30 32 1.8
+8 0 1 0 0 18 31 32 2.1
+8 0 1 0 0 18 32 32 2.4
+8 0 1 0 0 18 33 32 2.7
+8 0 1 0 0 18 34 32 3
+8 0 1 0 0 18 35 32 3.3
+8 0 1 0 0 18 36 32 3.6
+8 0 1 0 0 18 37 32 3.9
+8 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -7.2
+8 0 0 0 0 18 2 32 -6.6
+8 0 0 0 0 18 4 32 -6
+8 0 0 0 0 18 6 32 -5.4
+8 0 0 0 0 18 8 32 -4.8
+8 0 0 0 0 18 10 32 -4.2
+8 0 0 0 0 18 12 32 -3.6
+8 0 0 0 0 18 14 32 -3
+8 0 0 0 0 18 16 32 -2.4
+8 0 0 0 0 18 18 32 -1.8
+8 0 0 0 0 18 20 32 -1.2
+8 0 0 0 0 18 22 32 -0.6
+8 0 0 0 0 18 24 32 -4.44089209850063e-16
+8 0 0 0 0 18 26 32 0.6
+8 0 0 0 0 18 28 32 1.2
+8 0 0 0 0 18 30 32 1.8
+8 0 0 0 0 18 32 32 2.4
+8 0 0 0 0 18 34 32 3
+8 0 0 0 0 18 36 32 3.6
+8 0 0 0 0 18 38 32 4.2
+8 0 0 0 0 18 40 32 4.8
+8 0 0 0 0 18 42 32 5.4
+8 0 0 0 0 18 44 32 6
+8 0 0 0 0 18 46 32 6.6
+8 0 0 0 0 18 48 32 7.2
+8 0 0 0 0 18 50 32 7.8
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 -3.3
+9 0 1 0 0 18 14 32 -3
+9 0 1 0 0 18 15 32 -2.7
+9 0 1 0 0 18 16 32 -2.4
+9 0 1 0 0 18 17 32 -2.1
+9 0 1 0 0 18 18 32 -1.8
+9 0 1 0 0 18 19 32 -1.5
+9 0 1 0 0 18 20 32 -1.2
+9 0 1 0 0 18 21 32 -0.9
+9 0 1 0 0 18 22 32 -0.6
+9 0 1 0 0 18 23 32 -0.3
+9 0 1 0 0 18 24 32 -4.44089209850063e-16
+9 0 1 0 0 18 25 32 0.3
+9 0 1 0 0 18 26 32 0.6
+9 0 1 0 0 18 27 32 0.899999999999999
+9 0 1 0 0 18 28 32 1.2
+9 0 1 0 0 18 29 32 1.5
+9 0 1 0 0 18 30 32 1.8
+9 0 1 0 0 18 31 32 2.1
+9 0 1 0 0 18 32 32 2.4
+9 0 1 0 0 18 33 32 2.7
+9 0 1 0 0 18 34 32 3
+9 0 1 0 0 18 35 32 3.3
+9 0 1 0 0 18 36 32 3.6
+9 0 1 0 0 18 37 32 3.9
+9 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 -3.3
+10 0 1 0 0 18 14 32 -3
+10 0 1 0 0 18 15 32 -2.7
+10 0 1 0 0 18 16 32 -2.4
+10 0 1 0 0 18 17 32 -2.1
+10 0 1 0 0 18 18 32 -1.8
+10 0 1 0 0 18 19 32 -1.5
+10 0 1 0 0 18 20 32 -1.2
+10 0 1 0 0 18 21 32 -0.9
+10 0 1 0 0 18 22 32 -0.6
+10 0 1 0 0 18 23 32 -0.3
+10 0 1 0 0 18 24 32 -4.44089209850063e-16
+10 0 1 0 0 18 25 32 0.3
+10 0 1 0 0 18 26 32 0.6
+10 0 1 0 0 18 27 32 0.899999999999999
+10 0 1 0 0 18 28 32 1.2
+10 0 1 0 0 18 29 32 1.5
+10 0 1 0 0 18 30 32 1.8
+10 0 1 0 0 18 31 32 2.1
+10 0 1 0 0 18 32 32 2.4
+10 0 1 0 0 18 33 32 2.7
+10 0 1 0 0 18 34 32 3
+10 0 1 0 0 18 35 32 3.3
+10 0 1 0 0 18 36 32 3.6
+10 0 1 0 0 18 37 32 3.9
+10 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -7.2
+10 0 0 0 0 18 2 32 -6.6
+10 0 0 0 0 18 4 32 -6
+10 0 0 0 0 18 6 32 -5.4
+10 0 0 0 0 18 8 32 -4.8
+10 0 0 0 0 18 10 32 -4.2
+10 0 0 0 0 18 12 32 -3.6
+10 0 0 0 0 18 14 32 -3
+10 0 0 0 0 18 16 32 -2.4
+10 0 0 0 0 18 18 32 -1.8
+10 0 0 0 0 18 20 32 -1.2
+10 0 0 0 0 18 22 32 -0.6
+10 0 0 0 0 18 24 32 -4.44089209850063e-16
+10 0 0 0 0 18 26 32 0.6
+10 0 0 0 0 18 28 32 1.2
+10 0 0 0 0 18 30 32 1.8
+10 0 0 0 0 18 32 32 2.4
+10 0 0 0 0 18 34 32 3
+10 0 0 0 0 18 36 32 3.6
+10 0 0 0 0 18 38 32 4.2
+10 0 0 0 0 18 40 32 4.8
+10 0 0 0 0 18 42 32 5.4
+10 0 0 0 0 18 44 32 6
+10 0 0 0 0 18 46 32 6.6
+10 0 0 0 0 18 48 32 7.2
+10 0 0 0 0 18 50 32 7.8
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 -3.3
+11 0 1 0 0 18 14 32 -3
+11 0 1 0 0 18 15 32 -2.7
+11 0 1 0 0 18 16 32 -2.4
+11 0 1 0 0 18 17 32 -2.1
+11 0 1 0 0 18 18 32 -1.8
+11 0 1 0 0 18 19 32 -1.5
+11 0 1 0 0 18 20 32 -1.2
+11 0 1 0 0 18 21 32 -0.9
+11 0 1 0 0 18 22 32 -0.6
+11 0 1 0 0 18 23 32 -0.3
+11 0 1 0 0 18 24 32 -4.44089209850063e-16
+11 0 1 0 0 18 25 32 0.3
+11 0 1 0 0 18 26 32 0.6
+11 0 1 0 0 18 27 32 0.899999999999999
+11 0 1 0 0 18 28 32 1.2
+11 0 1 0 0 18 29 32 1.5
+11 0 1 0 0 18 30 32 1.8
+11 0 1 0 0 18 31 32 2.1
+11 0 1 0 0 18 32 32 2.4
+11 0 1 0 0 18 33 32 2.7
+11 0 1 0 0 18 34 32 3
+11 0 1 0 0 18 35 32 3.3
+11 0 1 0 0 18 36 32 3.6
+11 0 1 0 0 18 37 32 3.9
+11 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 -3.3
+12 0 1 0 0 18 14 32 -3
+12 0 1 0 0 18 15 32 -2.7
+12 0 1 0 0 18 16 32 -2.4
+12 0 1 0 0 18 17 32 -2.1
+12 0 1 0 0 18 18 32 -1.8
+12 0 1 0 0 18 19 32 -1.5
+12 0 1 0 0 18 20 32 -1.2
+12 0 1 0 0 18 21 32 -0.9
+12 0 1 0 0 18 22 32 -0.6
+12 0 1 0 0 18 23 32 -0.3
+12 0 1 0 0 18 24 32 -4.44089209850063e-16
+12 0 1 0 0 18 25 32 0.3
+12 0 1 0 0 18 26 32 0.6
+12 0 1 0 0 18 27 32 0.899999999999999
+12 0 1 0 0 18 28 32 1.2
+12 0 1 0 0 18 29 32 1.5
+12 0 1 0 0 18 30 32 1.8
+12 0 1 0 0 18 31 32 2.1
+12 0 1 0 0 18 32 32 2.4
+12 0 1 0 0 18 33 32 2.7
+12 0 1 0 0 18 34 32 3
+12 0 1 0 0 18 35 32 3.3
+12 0 1 0 0 18 36 32 3.6
+12 0 1 0 0 18 37 32 3.9
+12 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 -7.2
+12 0 0 0 0 18 2 32 -6.6
+12 0 0 0 0 18 4 32 -6
+12 0 0 0 0 18 6 32 -5.4
+12 0 0 0 0 18 8 32 -4.8
+12 0 0 0 0 18 10 32 -4.2
+12 0 0 0 0 18 12 32 -3.6
+12 0 0 0 0 18 14 32 -3
+12 0 0 0 0 18 16 32 -2.4
+12 0 0 0 0 18 18 32 -1.8
+12 0 0 0 0 18 20 32 -1.2
+12 0 0 0 0 18 22 32 -0.6
+12 0 0 0 0 18 24 32 -4.44089209850063e-16
+12 0 0 0 0 18 26 32 0.6
+12 0 0 0 0 18 28 32 1.2
+12 0 0 0 0 18 30 32 1.8
+12 0 0 0 0 18 32 32 2.4
+12 0 0 0 0 18 34 32 3
+12 0 0 0 0 18 36 32 3.6
+12 0 0 0 0 18 38 32 4.2
+12 0 0 0 0 18 40 32 4.8
+12 0 0 0 0 18 42 32 5.4
+12 0 0 0 0 18 44 32 6
+12 0 0 0 0 18 46 32 6.6
+12 0 0 0 0 18 48 32 7.2
+12 0 0 0 0 18 50 32 7.8
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.zl
new file mode 100644
index 000000000..ef19addd3
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_y.zl
@@ -0,0 +1,782 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -4.44089209850063e-16
+0 0 1 0 0 18 24 18 -4.44089209850063e-16
+0 0 1 0 0 18 24 19 -4.44089209850063e-16
+0 0 1 0 0 18 24 20 -4.44089209850063e-16
+0 0 1 0 0 18 24 21 -4.44089209850063e-16
+0 0 1 0 0 18 24 22 -4.44089209850063e-16
+0 0 1 0 0 18 24 23 -4.44089209850063e-16
+0 0 1 0 0 18 24 24 -4.44089209850063e-16
+0 0 1 0 0 18 24 25 -4.44089209850063e-16
+0 0 1 0 0 18 24 26 -4.44089209850063e-16
+0 0 1 0 0 18 24 27 -4.44089209850063e-16
+0 0 1 0 0 18 24 28 -4.44089209850063e-16
+0 0 1 0 0 18 24 29 -4.44089209850063e-16
+0 0 1 0 0 18 24 30 -4.44089209850063e-16
+0 0 1 0 0 18 24 31 -4.44089209850063e-16
+0 0 1 0 0 18 24 32 -4.44089209850063e-16
+0 0 1 0 0 18 24 33 -4.44089209850063e-16
+0 0 1 0 0 18 24 34 -4.44089209850063e-16
+0 0 1 0 0 18 24 35 -4.44089209850063e-16
+0 0 1 0 0 18 24 36 -4.44089209850063e-16
+0 0 1 0 0 18 24 37 -4.44089209850063e-16
+0 0 1 0 0 18 24 38 -4.44089209850063e-16
+0 0 1 0 0 18 24 39 -4.44089209850063e-16
+0 0 1 0 0 18 24 40 -4.44089209850063e-16
+0 0 1 0 0 18 24 41 -4.44089209850063e-16
+0 0 1 0 0 18 24 42 -4.44089209850063e-16
+0 0 1 0 0 18 24 43 -4.44089209850063e-16
+0 0 1 0 0 18 24 44 -4.44089209850063e-16
+0 0 1 0 0 18 24 45 -4.44089209850063e-16
+0 0 1 0 0 18 24 46 -4.44089209850063e-16
+0 0 1 0 0 18 24 47 -4.44089209850063e-16
+0 0 1 0 0 18 24 48 -4.44089209850063e-16
+0 0 1 0 0 18 24 49 -4.44089209850063e-16
+0 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 -4.44089209850063e-16
+0 0 0 0 0 18 24 2 -4.44089209850063e-16
+0 0 0 0 0 18 24 4 -4.44089209850063e-16
+0 0 0 0 0 18 24 6 -4.44089209850063e-16
+0 0 0 0 0 18 24 8 -4.44089209850063e-16
+0 0 0 0 0 18 24 10 -4.44089209850063e-16
+0 0 0 0 0 18 24 12 -4.44089209850063e-16
+0 0 0 0 0 18 24 14 -4.44089209850063e-16
+0 0 0 0 0 18 24 16 -4.44089209850063e-16
+0 0 0 0 0 18 24 18 -4.44089209850063e-16
+0 0 0 0 0 18 24 20 -4.44089209850063e-16
+0 0 0 0 0 18 24 22 -4.44089209850063e-16
+0 0 0 0 0 18 24 24 -4.44089209850063e-16
+0 0 0 0 0 18 24 26 -4.44089209850063e-16
+0 0 0 0 0 18 24 28 -4.44089209850063e-16
+0 0 0 0 0 18 24 30 -4.44089209850063e-16
+0 0 0 0 0 18 24 32 -4.44089209850063e-16
+0 0 0 0 0 18 24 34 -4.44089209850063e-16
+0 0 0 0 0 18 24 36 -4.44089209850063e-16
+0 0 0 0 0 18 24 38 -4.44089209850063e-16
+0 0 0 0 0 18 24 40 -4.44089209850063e-16
+0 0 0 0 0 18 24 42 -4.44089209850063e-16
+0 0 0 0 0 18 24 44 -4.44089209850063e-16
+0 0 0 0 0 18 24 46 -4.44089209850063e-16
+0 0 0 0 0 18 24 48 -4.44089209850063e-16
+0 0 0 0 0 18 24 50 -4.44089209850063e-16
+0 0 0 0 0 18 24 52 -4.44089209850063e-16
+0 0 0 0 0 18 24 54 -4.44089209850063e-16
+0 0 0 0 0 18 24 56 -4.44089209850063e-16
+0 0 0 0 0 18 24 58 -4.44089209850063e-16
+0 0 0 0 0 18 24 60 -4.44089209850063e-16
+0 0 0 0 0 18 24 62 -4.44089209850063e-16
+0 0 0 0 0 18 24 64 -4.44089209850063e-16
+0 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -4.44089209850063e-16
+1 0 1 0 0 18 24 18 -4.44089209850063e-16
+1 0 1 0 0 18 24 19 -4.44089209850063e-16
+1 0 1 0 0 18 24 20 -4.44089209850063e-16
+1 0 1 0 0 18 24 21 -4.44089209850063e-16
+1 0 1 0 0 18 24 22 -4.44089209850063e-16
+1 0 1 0 0 18 24 23 -4.44089209850063e-16
+1 0 1 0 0 18 24 24 -4.44089209850063e-16
+1 0 1 0 0 18 24 25 -4.44089209850063e-16
+1 0 1 0 0 18 24 26 -4.44089209850063e-16
+1 0 1 0 0 18 24 27 -4.44089209850063e-16
+1 0 1 0 0 18 24 28 -4.44089209850063e-16
+1 0 1 0 0 18 24 29 -4.44089209850063e-16
+1 0 1 0 0 18 24 30 -4.44089209850063e-16
+1 0 1 0 0 18 24 31 -4.44089209850063e-16
+1 0 1 0 0 18 24 32 -4.44089209850063e-16
+1 0 1 0 0 18 24 33 -4.44089209850063e-16
+1 0 1 0 0 18 24 34 -4.44089209850063e-16
+1 0 1 0 0 18 24 35 -4.44089209850063e-16
+1 0 1 0 0 18 24 36 -4.44089209850063e-16
+1 0 1 0 0 18 24 37 -4.44089209850063e-16
+1 0 1 0 0 18 24 38 -4.44089209850063e-16
+1 0 1 0 0 18 24 39 -4.44089209850063e-16
+1 0 1 0 0 18 24 40 -4.44089209850063e-16
+1 0 1 0 0 18 24 41 -4.44089209850063e-16
+1 0 1 0 0 18 24 42 -4.44089209850063e-16
+1 0 1 0 0 18 24 43 -4.44089209850063e-16
+1 0 1 0 0 18 24 44 -4.44089209850063e-16
+1 0 1 0 0 18 24 45 -4.44089209850063e-16
+1 0 1 0 0 18 24 46 -4.44089209850063e-16
+1 0 1 0 0 18 24 47 -4.44089209850063e-16
+1 0 1 0 0 18 24 48 -4.44089209850063e-16
+1 0 1 0 0 18 24 49 -4.44089209850063e-16
+1 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -4.44089209850063e-16
+2 0 1 0 0 18 24 18 -4.44089209850063e-16
+2 0 1 0 0 18 24 19 -4.44089209850063e-16
+2 0 1 0 0 18 24 20 -4.44089209850063e-16
+2 0 1 0 0 18 24 21 -4.44089209850063e-16
+2 0 1 0 0 18 24 22 -4.44089209850063e-16
+2 0 1 0 0 18 24 23 -4.44089209850063e-16
+2 0 1 0 0 18 24 24 -4.44089209850063e-16
+2 0 1 0 0 18 24 25 -4.44089209850063e-16
+2 0 1 0 0 18 24 26 -4.44089209850063e-16
+2 0 1 0 0 18 24 27 -4.44089209850063e-16
+2 0 1 0 0 18 24 28 -4.44089209850063e-16
+2 0 1 0 0 18 24 29 -4.44089209850063e-16
+2 0 1 0 0 18 24 30 -4.44089209850063e-16
+2 0 1 0 0 18 24 31 -4.44089209850063e-16
+2 0 1 0 0 18 24 32 -4.44089209850063e-16
+2 0 1 0 0 18 24 33 -4.44089209850063e-16
+2 0 1 0 0 18 24 34 -4.44089209850063e-16
+2 0 1 0 0 18 24 35 -4.44089209850063e-16
+2 0 1 0 0 18 24 36 -4.44089209850063e-16
+2 0 1 0 0 18 24 37 -4.44089209850063e-16
+2 0 1 0 0 18 24 38 -4.44089209850063e-16
+2 0 1 0 0 18 24 39 -4.44089209850063e-16
+2 0 1 0 0 18 24 40 -4.44089209850063e-16
+2 0 1 0 0 18 24 41 -4.44089209850063e-16
+2 0 1 0 0 18 24 42 -4.44089209850063e-16
+2 0 1 0 0 18 24 43 -4.44089209850063e-16
+2 0 1 0 0 18 24 44 -4.44089209850063e-16
+2 0 1 0 0 18 24 45 -4.44089209850063e-16
+2 0 1 0 0 18 24 46 -4.44089209850063e-16
+2 0 1 0 0 18 24 47 -4.44089209850063e-16
+2 0 1 0 0 18 24 48 -4.44089209850063e-16
+2 0 1 0 0 18 24 49 -4.44089209850063e-16
+2 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 -4.44089209850063e-16
+2 0 0 0 0 18 24 2 -4.44089209850063e-16
+2 0 0 0 0 18 24 4 -4.44089209850063e-16
+2 0 0 0 0 18 24 6 -4.44089209850063e-16
+2 0 0 0 0 18 24 8 -4.44089209850063e-16
+2 0 0 0 0 18 24 10 -4.44089209850063e-16
+2 0 0 0 0 18 24 12 -4.44089209850063e-16
+2 0 0 0 0 18 24 14 -4.44089209850063e-16
+2 0 0 0 0 18 24 16 -4.44089209850063e-16
+2 0 0 0 0 18 24 18 -4.44089209850063e-16
+2 0 0 0 0 18 24 20 -4.44089209850063e-16
+2 0 0 0 0 18 24 22 -4.44089209850063e-16
+2 0 0 0 0 18 24 24 -4.44089209850063e-16
+2 0 0 0 0 18 24 26 -4.44089209850063e-16
+2 0 0 0 0 18 24 28 -4.44089209850063e-16
+2 0 0 0 0 18 24 30 -4.44089209850063e-16
+2 0 0 0 0 18 24 32 -4.44089209850063e-16
+2 0 0 0 0 18 24 34 -4.44089209850063e-16
+2 0 0 0 0 18 24 36 -4.44089209850063e-16
+2 0 0 0 0 18 24 38 -4.44089209850063e-16
+2 0 0 0 0 18 24 40 -4.44089209850063e-16
+2 0 0 0 0 18 24 42 -4.44089209850063e-16
+2 0 0 0 0 18 24 44 -4.44089209850063e-16
+2 0 0 0 0 18 24 46 -4.44089209850063e-16
+2 0 0 0 0 18 24 48 -4.44089209850063e-16
+2 0 0 0 0 18 24 50 -4.44089209850063e-16
+2 0 0 0 0 18 24 52 -4.44089209850063e-16
+2 0 0 0 0 18 24 54 -4.44089209850063e-16
+2 0 0 0 0 18 24 56 -4.44089209850063e-16
+2 0 0 0 0 18 24 58 -4.44089209850063e-16
+2 0 0 0 0 18 24 60 -4.44089209850063e-16
+2 0 0 0 0 18 24 62 -4.44089209850063e-16
+2 0 0 0 0 18 24 64 -4.44089209850063e-16
+2 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -4.44089209850063e-16
+3 0 1 0 0 18 24 18 -4.44089209850063e-16
+3 0 1 0 0 18 24 19 -4.44089209850063e-16
+3 0 1 0 0 18 24 20 -4.44089209850063e-16
+3 0 1 0 0 18 24 21 -4.44089209850063e-16
+3 0 1 0 0 18 24 22 -4.44089209850063e-16
+3 0 1 0 0 18 24 23 -4.44089209850063e-16
+3 0 1 0 0 18 24 24 -4.44089209850063e-16
+3 0 1 0 0 18 24 25 -4.44089209850063e-16
+3 0 1 0 0 18 24 26 -4.44089209850063e-16
+3 0 1 0 0 18 24 27 -4.44089209850063e-16
+3 0 1 0 0 18 24 28 -4.44089209850063e-16
+3 0 1 0 0 18 24 29 -4.44089209850063e-16
+3 0 1 0 0 18 24 30 -4.44089209850063e-16
+3 0 1 0 0 18 24 31 -4.44089209850063e-16
+3 0 1 0 0 18 24 32 -4.44089209850063e-16
+3 0 1 0 0 18 24 33 -4.44089209850063e-16
+3 0 1 0 0 18 24 34 -4.44089209850063e-16
+3 0 1 0 0 18 24 35 -4.44089209850063e-16
+3 0 1 0 0 18 24 36 -4.44089209850063e-16
+3 0 1 0 0 18 24 37 -4.44089209850063e-16
+3 0 1 0 0 18 24 38 -4.44089209850063e-16
+3 0 1 0 0 18 24 39 -4.44089209850063e-16
+3 0 1 0 0 18 24 40 -4.44089209850063e-16
+3 0 1 0 0 18 24 41 -4.44089209850063e-16
+3 0 1 0 0 18 24 42 -4.44089209850063e-16
+3 0 1 0 0 18 24 43 -4.44089209850063e-16
+3 0 1 0 0 18 24 44 -4.44089209850063e-16
+3 0 1 0 0 18 24 45 -4.44089209850063e-16
+3 0 1 0 0 18 24 46 -4.44089209850063e-16
+3 0 1 0 0 18 24 47 -4.44089209850063e-16
+3 0 1 0 0 18 24 48 -4.44089209850063e-16
+3 0 1 0 0 18 24 49 -4.44089209850063e-16
+3 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -4.44089209850063e-16
+4 0 1 0 0 18 24 18 -4.44089209850063e-16
+4 0 1 0 0 18 24 19 -4.44089209850063e-16
+4 0 1 0 0 18 24 20 -4.44089209850063e-16
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+4 0 1 0 0 18 24 26 -4.44089209850063e-16
+4 0 1 0 0 18 24 27 -4.44089209850063e-16
+4 0 1 0 0 18 24 28 -4.44089209850063e-16
+4 0 1 0 0 18 24 29 -4.44089209850063e-16
+4 0 1 0 0 18 24 30 -4.44089209850063e-16
+4 0 1 0 0 18 24 31 -4.44089209850063e-16
+4 0 1 0 0 18 24 32 -4.44089209850063e-16
+4 0 1 0 0 18 24 33 -4.44089209850063e-16
+4 0 1 0 0 18 24 34 -4.44089209850063e-16
+4 0 1 0 0 18 24 35 -4.44089209850063e-16
+4 0 1 0 0 18 24 36 -4.44089209850063e-16
+4 0 1 0 0 18 24 37 -4.44089209850063e-16
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+4 0 1 0 0 18 24 49 -4.44089209850063e-16
+4 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 -4.44089209850063e-16
+4 0 0 0 0 18 24 2 -4.44089209850063e-16
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+4 0 0 0 0 18 24 64 -4.44089209850063e-16
+4 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -4.44089209850063e-16
+5 0 1 0 0 18 24 18 -4.44089209850063e-16
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+5 0 1 0 0 18 24 49 -4.44089209850063e-16
+5 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -4.44089209850063e-16
+6 0 1 0 0 18 24 18 -4.44089209850063e-16
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+6 0 1 0 0 18 24 49 -4.44089209850063e-16
+6 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 -4.44089209850063e-16
+6 0 0 0 0 18 24 2 -4.44089209850063e-16
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+6 0 0 0 0 18 24 64 -4.44089209850063e-16
+6 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -4.44089209850063e-16
+7 0 1 0 0 18 24 18 -4.44089209850063e-16
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+7 0 1 0 0 18 24 49 -4.44089209850063e-16
+7 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 -4.44089209850063e-16
+8 0 1 0 0 18 24 18 -4.44089209850063e-16
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+8 0 1 0 0 18 24 49 -4.44089209850063e-16
+8 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 -4.44089209850063e-16
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+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -4.44089209850063e-16
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+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 -4.44089209850063e-16
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+10 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 -4.44089209850063e-16
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+10 0 0 0 0 18 24 28 -4.44089209850063e-16
+10 0 0 0 0 18 24 30 -4.44089209850063e-16
+10 0 0 0 0 18 24 32 -4.44089209850063e-16
+10 0 0 0 0 18 24 34 -4.44089209850063e-16
+10 0 0 0 0 18 24 36 -4.44089209850063e-16
+10 0 0 0 0 18 24 38 -4.44089209850063e-16
+10 0 0 0 0 18 24 40 -4.44089209850063e-16
+10 0 0 0 0 18 24 42 -4.44089209850063e-16
+10 0 0 0 0 18 24 44 -4.44089209850063e-16
+10 0 0 0 0 18 24 46 -4.44089209850063e-16
+10 0 0 0 0 18 24 48 -4.44089209850063e-16
+10 0 0 0 0 18 24 50 -4.44089209850063e-16
+10 0 0 0 0 18 24 52 -4.44089209850063e-16
+10 0 0 0 0 18 24 54 -4.44089209850063e-16
+10 0 0 0 0 18 24 56 -4.44089209850063e-16
+10 0 0 0 0 18 24 58 -4.44089209850063e-16
+10 0 0 0 0 18 24 60 -4.44089209850063e-16
+10 0 0 0 0 18 24 62 -4.44089209850063e-16
+10 0 0 0 0 18 24 64 -4.44089209850063e-16
+10 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 -4.44089209850063e-16
+11 0 1 0 0 18 24 18 -4.44089209850063e-16
+11 0 1 0 0 18 24 19 -4.44089209850063e-16
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+11 0 1 0 0 18 24 27 -4.44089209850063e-16
+11 0 1 0 0 18 24 28 -4.44089209850063e-16
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+11 0 1 0 0 18 24 31 -4.44089209850063e-16
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+11 0 1 0 0 18 24 34 -4.44089209850063e-16
+11 0 1 0 0 18 24 35 -4.44089209850063e-16
+11 0 1 0 0 18 24 36 -4.44089209850063e-16
+11 0 1 0 0 18 24 37 -4.44089209850063e-16
+11 0 1 0 0 18 24 38 -4.44089209850063e-16
+11 0 1 0 0 18 24 39 -4.44089209850063e-16
+11 0 1 0 0 18 24 40 -4.44089209850063e-16
+11 0 1 0 0 18 24 41 -4.44089209850063e-16
+11 0 1 0 0 18 24 42 -4.44089209850063e-16
+11 0 1 0 0 18 24 43 -4.44089209850063e-16
+11 0 1 0 0 18 24 44 -4.44089209850063e-16
+11 0 1 0 0 18 24 45 -4.44089209850063e-16
+11 0 1 0 0 18 24 46 -4.44089209850063e-16
+11 0 1 0 0 18 24 47 -4.44089209850063e-16
+11 0 1 0 0 18 24 48 -4.44089209850063e-16
+11 0 1 0 0 18 24 49 -4.44089209850063e-16
+11 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 -4.44089209850063e-16
+12 0 1 0 0 18 24 18 -4.44089209850063e-16
+12 0 1 0 0 18 24 19 -4.44089209850063e-16
+12 0 1 0 0 18 24 20 -4.44089209850063e-16
+12 0 1 0 0 18 24 21 -4.44089209850063e-16
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+12 0 1 0 0 18 24 25 -4.44089209850063e-16
+12 0 1 0 0 18 24 26 -4.44089209850063e-16
+12 0 1 0 0 18 24 27 -4.44089209850063e-16
+12 0 1 0 0 18 24 28 -4.44089209850063e-16
+12 0 1 0 0 18 24 29 -4.44089209850063e-16
+12 0 1 0 0 18 24 30 -4.44089209850063e-16
+12 0 1 0 0 18 24 31 -4.44089209850063e-16
+12 0 1 0 0 18 24 32 -4.44089209850063e-16
+12 0 1 0 0 18 24 33 -4.44089209850063e-16
+12 0 1 0 0 18 24 34 -4.44089209850063e-16
+12 0 1 0 0 18 24 35 -4.44089209850063e-16
+12 0 1 0 0 18 24 36 -4.44089209850063e-16
+12 0 1 0 0 18 24 37 -4.44089209850063e-16
+12 0 1 0 0 18 24 38 -4.44089209850063e-16
+12 0 1 0 0 18 24 39 -4.44089209850063e-16
+12 0 1 0 0 18 24 40 -4.44089209850063e-16
+12 0 1 0 0 18 24 41 -4.44089209850063e-16
+12 0 1 0 0 18 24 42 -4.44089209850063e-16
+12 0 1 0 0 18 24 43 -4.44089209850063e-16
+12 0 1 0 0 18 24 44 -4.44089209850063e-16
+12 0 1 0 0 18 24 45 -4.44089209850063e-16
+12 0 1 0 0 18 24 46 -4.44089209850063e-16
+12 0 1 0 0 18 24 47 -4.44089209850063e-16
+12 0 1 0 0 18 24 48 -4.44089209850063e-16
+12 0 1 0 0 18 24 49 -4.44089209850063e-16
+12 0 1 0 0 18 24 50 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 -4.44089209850063e-16
+12 0 0 0 0 18 24 2 -4.44089209850063e-16
+12 0 0 0 0 18 24 4 -4.44089209850063e-16
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+12 0 0 0 0 18 24 8 -4.44089209850063e-16
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+12 0 0 0 0 18 24 20 -4.44089209850063e-16
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+12 0 0 0 0 18 24 26 -4.44089209850063e-16
+12 0 0 0 0 18 24 28 -4.44089209850063e-16
+12 0 0 0 0 18 24 30 -4.44089209850063e-16
+12 0 0 0 0 18 24 32 -4.44089209850063e-16
+12 0 0 0 0 18 24 34 -4.44089209850063e-16
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+12 0 0 0 0 18 24 50 -4.44089209850063e-16
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+12 0 0 0 0 18 24 56 -4.44089209850063e-16
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+12 0 0 0 0 18 24 60 -4.44089209850063e-16
+12 0 0 0 0 18 24 62 -4.44089209850063e-16
+12 0 0 0 0 18 24 64 -4.44089209850063e-16
+12 0 0 0 0 18 24 66 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.xl
new file mode 100644
index 000000000..fa9b8b7a7
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.xl
@@ -0,0 +1,482 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 0
+0 0 1 0 0 10 24 32 0
+0 0 1 0 0 11 24 32 0
+0 0 1 0 0 12 24 32 0
+0 0 1 0 0 13 24 32 0
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+0 0 1 0 0 24 24 32 0
+0 0 1 0 0 25 24 32 0
+0 0 1 0 0 26 24 32 0
+0 0 1 0 0 27 24 32 0
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 0
+0 0 0 0 0 2 24 32 0
+0 0 0 0 0 4 24 32 0
+0 0 0 0 0 6 24 32 0
+0 0 0 0 0 8 24 32 0
+0 0 0 0 0 10 24 32 0
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+0 0 0 0 0 30 24 32 0
+0 0 0 0 0 32 24 32 0
+0 0 0 0 0 34 24 32 0
+0 0 0 0 0 36 24 32 0
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 0
+1 0 1 0 0 10 24 32 0
+1 0 1 0 0 11 24 32 0
+1 0 1 0 0 12 24 32 0
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+1 0 1 0 0 25 24 32 0
+1 0 1 0 0 26 24 32 0
+1 0 1 0 0 27 24 32 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0
+2 0 1 0 0 10 24 32 0
+2 0 1 0 0 11 24 32 0
+2 0 1 0 0 12 24 32 0
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+2 0 1 0 0 25 24 32 0
+2 0 1 0 0 26 24 32 0
+2 0 1 0 0 27 24 32 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 0
+2 0 0 0 0 2 24 32 0
+2 0 0 0 0 4 24 32 0
+2 0 0 0 0 6 24 32 0
+2 0 0 0 0 8 24 32 0
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+2 0 0 0 0 32 24 32 0
+2 0 0 0 0 34 24 32 0
+2 0 0 0 0 36 24 32 0
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0
+3 0 1 0 0 10 24 32 0
+3 0 1 0 0 11 24 32 0
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+3 0 1 0 0 26 24 32 0
+3 0 1 0 0 27 24 32 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0
+4 0 1 0 0 10 24 32 0
+4 0 1 0 0 11 24 32 0
+4 0 1 0 0 12 24 32 0
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+4 0 1 0 0 25 24 32 0
+4 0 1 0 0 26 24 32 0
+4 0 1 0 0 27 24 32 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 0
+4 0 0 0 0 2 24 32 0
+4 0 0 0 0 4 24 32 0
+4 0 0 0 0 6 24 32 0
+4 0 0 0 0 8 24 32 0
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+4 0 0 0 0 32 24 32 0
+4 0 0 0 0 34 24 32 0
+4 0 0 0 0 36 24 32 0
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0
+5 0 1 0 0 10 24 32 0
+5 0 1 0 0 11 24 32 0
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+5 0 1 0 0 25 24 32 0
+5 0 1 0 0 26 24 32 0
+5 0 1 0 0 27 24 32 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0
+6 0 1 0 0 10 24 32 0
+6 0 1 0 0 11 24 32 0
+6 0 1 0 0 12 24 32 0
+6 0 1 0 0 13 24 32 0
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+6 0 1 0 0 25 24 32 0
+6 0 1 0 0 26 24 32 0
+6 0 1 0 0 27 24 32 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 0
+6 0 0 0 0 2 24 32 0
+6 0 0 0 0 4 24 32 0
+6 0 0 0 0 6 24 32 0
+6 0 0 0 0 8 24 32 0
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+6 0 0 0 0 32 24 32 0
+6 0 0 0 0 34 24 32 0
+6 0 0 0 0 36 24 32 0
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0
+7 0 1 0 0 10 24 32 0
+7 0 1 0 0 11 24 32 0
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+7 0 1 0 0 26 24 32 0
+7 0 1 0 0 27 24 32 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0
+8 0 1 0 0 10 24 32 0
+8 0 1 0 0 11 24 32 0
+8 0 1 0 0 12 24 32 0
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+8 0 1 0 0 25 24 32 0
+8 0 1 0 0 26 24 32 0
+8 0 1 0 0 27 24 32 0
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 0
+8 0 0 0 0 2 24 32 0
+8 0 0 0 0 4 24 32 0
+8 0 0 0 0 6 24 32 0
+8 0 0 0 0 8 24 32 0
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+8 0 0 0 0 32 24 32 0
+8 0 0 0 0 34 24 32 0
+8 0 0 0 0 36 24 32 0
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0
+9 0 1 0 0 10 24 32 0
+9 0 1 0 0 11 24 32 0
+9 0 1 0 0 12 24 32 0
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+9 0 1 0 0 25 24 32 0
+9 0 1 0 0 26 24 32 0
+9 0 1 0 0 27 24 32 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0
+10 0 1 0 0 10 24 32 0
+10 0 1 0 0 11 24 32 0
+10 0 1 0 0 12 24 32 0
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+10 0 1 0 0 25 24 32 0
+10 0 1 0 0 26 24 32 0
+10 0 1 0 0 27 24 32 0
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 0
+10 0 0 0 0 2 24 32 0
+10 0 0 0 0 4 24 32 0
+10 0 0 0 0 6 24 32 0
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+10 0 0 0 0 32 24 32 0
+10 0 0 0 0 34 24 32 0
+10 0 0 0 0 36 24 32 0
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0
+11 0 1 0 0 10 24 32 0
+11 0 1 0 0 11 24 32 0
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+11 0 1 0 0 25 24 32 0
+11 0 1 0 0 26 24 32 0
+11 0 1 0 0 27 24 32 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 0
+12 0 1 0 0 10 24 32 0
+12 0 1 0 0 11 24 32 0
+12 0 1 0 0 12 24 32 0
+12 0 1 0 0 13 24 32 0
+12 0 1 0 0 14 24 32 0
+12 0 1 0 0 15 24 32 0
+12 0 1 0 0 16 24 32 0
+12 0 1 0 0 17 24 32 0
+12 0 1 0 0 18 24 32 0
+12 0 1 0 0 19 24 32 0
+12 0 1 0 0 20 24 32 0
+12 0 1 0 0 21 24 32 0
+12 0 1 0 0 22 24 32 0
+12 0 1 0 0 23 24 32 0
+12 0 1 0 0 24 24 32 0
+12 0 1 0 0 25 24 32 0
+12 0 1 0 0 26 24 32 0
+12 0 1 0 0 27 24 32 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 0
+12 0 0 0 0 2 24 32 0
+12 0 0 0 0 4 24 32 0
+12 0 0 0 0 6 24 32 0
+12 0 0 0 0 8 24 32 0
+12 0 0 0 0 10 24 32 0
+12 0 0 0 0 12 24 32 0
+12 0 0 0 0 14 24 32 0
+12 0 0 0 0 16 24 32 0
+12 0 0 0 0 18 24 32 0
+12 0 0 0 0 20 24 32 0
+12 0 0 0 0 22 24 32 0
+12 0 0 0 0 24 24 32 0
+12 0 0 0 0 26 24 32 0
+12 0 0 0 0 28 24 32 0
+12 0 0 0 0 30 24 32 0
+12 0 0 0 0 32 24 32 0
+12 0 0 0 0 34 24 32 0
+12 0 0 0 0 36 24 32 0
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.yl
new file mode 100644
index 000000000..f6a4a5589
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.yl
@@ -0,0 +1,622 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 0
+0 0 1 0 0 18 14 32 0
+0 0 1 0 0 18 15 32 0
+0 0 1 0 0 18 16 32 0
+0 0 1 0 0 18 17 32 0
+0 0 1 0 0 18 18 32 0
+0 0 1 0 0 18 19 32 0
+0 0 1 0 0 18 20 32 0
+0 0 1 0 0 18 21 32 0
+0 0 1 0 0 18 22 32 0
+0 0 1 0 0 18 23 32 0
+0 0 1 0 0 18 24 32 0
+0 0 1 0 0 18 25 32 0
+0 0 1 0 0 18 26 32 0
+0 0 1 0 0 18 27 32 0
+0 0 1 0 0 18 28 32 0
+0 0 1 0 0 18 29 32 0
+0 0 1 0 0 18 30 32 0
+0 0 1 0 0 18 31 32 0
+0 0 1 0 0 18 32 32 0
+0 0 1 0 0 18 33 32 0
+0 0 1 0 0 18 34 32 0
+0 0 1 0 0 18 35 32 0
+0 0 1 0 0 18 36 32 0
+0 0 1 0 0 18 37 32 0
+0 0 1 0 0 18 38 32 0
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 0
+0 0 0 0 0 18 2 32 0
+0 0 0 0 0 18 4 32 0
+0 0 0 0 0 18 6 32 0
+0 0 0 0 0 18 8 32 0
+0 0 0 0 0 18 10 32 0
+0 0 0 0 0 18 12 32 0
+0 0 0 0 0 18 14 32 0
+0 0 0 0 0 18 16 32 0
+0 0 0 0 0 18 18 32 0
+0 0 0 0 0 18 20 32 0
+0 0 0 0 0 18 22 32 0
+0 0 0 0 0 18 24 32 0
+0 0 0 0 0 18 26 32 0
+0 0 0 0 0 18 28 32 0
+0 0 0 0 0 18 30 32 0
+0 0 0 0 0 18 32 32 0
+0 0 0 0 0 18 34 32 0
+0 0 0 0 0 18 36 32 0
+0 0 0 0 0 18 38 32 0
+0 0 0 0 0 18 40 32 0
+0 0 0 0 0 18 42 32 0
+0 0 0 0 0 18 44 32 0
+0 0 0 0 0 18 46 32 0
+0 0 0 0 0 18 48 32 0
+0 0 0 0 0 18 50 32 0
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0
+1 0 1 0 0 18 14 32 0
+1 0 1 0 0 18 15 32 0
+1 0 1 0 0 18 16 32 0
+1 0 1 0 0 18 17 32 0
+1 0 1 0 0 18 18 32 0
+1 0 1 0 0 18 19 32 0
+1 0 1 0 0 18 20 32 0
+1 0 1 0 0 18 21 32 0
+1 0 1 0 0 18 22 32 0
+1 0 1 0 0 18 23 32 0
+1 0 1 0 0 18 24 32 0
+1 0 1 0 0 18 25 32 0
+1 0 1 0 0 18 26 32 0
+1 0 1 0 0 18 27 32 0
+1 0 1 0 0 18 28 32 0
+1 0 1 0 0 18 29 32 0
+1 0 1 0 0 18 30 32 0
+1 0 1 0 0 18 31 32 0
+1 0 1 0 0 18 32 32 0
+1 0 1 0 0 18 33 32 0
+1 0 1 0 0 18 34 32 0
+1 0 1 0 0 18 35 32 0
+1 0 1 0 0 18 36 32 0
+1 0 1 0 0 18 37 32 0
+1 0 1 0 0 18 38 32 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0
+2 0 1 0 0 18 14 32 0
+2 0 1 0 0 18 15 32 0
+2 0 1 0 0 18 16 32 0
+2 0 1 0 0 18 17 32 0
+2 0 1 0 0 18 18 32 0
+2 0 1 0 0 18 19 32 0
+2 0 1 0 0 18 20 32 0
+2 0 1 0 0 18 21 32 0
+2 0 1 0 0 18 22 32 0
+2 0 1 0 0 18 23 32 0
+2 0 1 0 0 18 24 32 0
+2 0 1 0 0 18 25 32 0
+2 0 1 0 0 18 26 32 0
+2 0 1 0 0 18 27 32 0
+2 0 1 0 0 18 28 32 0
+2 0 1 0 0 18 29 32 0
+2 0 1 0 0 18 30 32 0
+2 0 1 0 0 18 31 32 0
+2 0 1 0 0 18 32 32 0
+2 0 1 0 0 18 33 32 0
+2 0 1 0 0 18 34 32 0
+2 0 1 0 0 18 35 32 0
+2 0 1 0 0 18 36 32 0
+2 0 1 0 0 18 37 32 0
+2 0 1 0 0 18 38 32 0
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 0
+2 0 0 0 0 18 2 32 0
+2 0 0 0 0 18 4 32 0
+2 0 0 0 0 18 6 32 0
+2 0 0 0 0 18 8 32 0
+2 0 0 0 0 18 10 32 0
+2 0 0 0 0 18 12 32 0
+2 0 0 0 0 18 14 32 0
+2 0 0 0 0 18 16 32 0
+2 0 0 0 0 18 18 32 0
+2 0 0 0 0 18 20 32 0
+2 0 0 0 0 18 22 32 0
+2 0 0 0 0 18 24 32 0
+2 0 0 0 0 18 26 32 0
+2 0 0 0 0 18 28 32 0
+2 0 0 0 0 18 30 32 0
+2 0 0 0 0 18 32 32 0
+2 0 0 0 0 18 34 32 0
+2 0 0 0 0 18 36 32 0
+2 0 0 0 0 18 38 32 0
+2 0 0 0 0 18 40 32 0
+2 0 0 0 0 18 42 32 0
+2 0 0 0 0 18 44 32 0
+2 0 0 0 0 18 46 32 0
+2 0 0 0 0 18 48 32 0
+2 0 0 0 0 18 50 32 0
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0
+3 0 1 0 0 18 14 32 0
+3 0 1 0 0 18 15 32 0
+3 0 1 0 0 18 16 32 0
+3 0 1 0 0 18 17 32 0
+3 0 1 0 0 18 18 32 0
+3 0 1 0 0 18 19 32 0
+3 0 1 0 0 18 20 32 0
+3 0 1 0 0 18 21 32 0
+3 0 1 0 0 18 22 32 0
+3 0 1 0 0 18 23 32 0
+3 0 1 0 0 18 24 32 0
+3 0 1 0 0 18 25 32 0
+3 0 1 0 0 18 26 32 0
+3 0 1 0 0 18 27 32 0
+3 0 1 0 0 18 28 32 0
+3 0 1 0 0 18 29 32 0
+3 0 1 0 0 18 30 32 0
+3 0 1 0 0 18 31 32 0
+3 0 1 0 0 18 32 32 0
+3 0 1 0 0 18 33 32 0
+3 0 1 0 0 18 34 32 0
+3 0 1 0 0 18 35 32 0
+3 0 1 0 0 18 36 32 0
+3 0 1 0 0 18 37 32 0
+3 0 1 0 0 18 38 32 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0
+4 0 1 0 0 18 14 32 0
+4 0 1 0 0 18 15 32 0
+4 0 1 0 0 18 16 32 0
+4 0 1 0 0 18 17 32 0
+4 0 1 0 0 18 18 32 0
+4 0 1 0 0 18 19 32 0
+4 0 1 0 0 18 20 32 0
+4 0 1 0 0 18 21 32 0
+4 0 1 0 0 18 22 32 0
+4 0 1 0 0 18 23 32 0
+4 0 1 0 0 18 24 32 0
+4 0 1 0 0 18 25 32 0
+4 0 1 0 0 18 26 32 0
+4 0 1 0 0 18 27 32 0
+4 0 1 0 0 18 28 32 0
+4 0 1 0 0 18 29 32 0
+4 0 1 0 0 18 30 32 0
+4 0 1 0 0 18 31 32 0
+4 0 1 0 0 18 32 32 0
+4 0 1 0 0 18 33 32 0
+4 0 1 0 0 18 34 32 0
+4 0 1 0 0 18 35 32 0
+4 0 1 0 0 18 36 32 0
+4 0 1 0 0 18 37 32 0
+4 0 1 0 0 18 38 32 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 0
+4 0 0 0 0 18 2 32 0
+4 0 0 0 0 18 4 32 0
+4 0 0 0 0 18 6 32 0
+4 0 0 0 0 18 8 32 0
+4 0 0 0 0 18 10 32 0
+4 0 0 0 0 18 12 32 0
+4 0 0 0 0 18 14 32 0
+4 0 0 0 0 18 16 32 0
+4 0 0 0 0 18 18 32 0
+4 0 0 0 0 18 20 32 0
+4 0 0 0 0 18 22 32 0
+4 0 0 0 0 18 24 32 0
+4 0 0 0 0 18 26 32 0
+4 0 0 0 0 18 28 32 0
+4 0 0 0 0 18 30 32 0
+4 0 0 0 0 18 32 32 0
+4 0 0 0 0 18 34 32 0
+4 0 0 0 0 18 36 32 0
+4 0 0 0 0 18 38 32 0
+4 0 0 0 0 18 40 32 0
+4 0 0 0 0 18 42 32 0
+4 0 0 0 0 18 44 32 0
+4 0 0 0 0 18 46 32 0
+4 0 0 0 0 18 48 32 0
+4 0 0 0 0 18 50 32 0
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0
+5 0 1 0 0 18 14 32 0
+5 0 1 0 0 18 15 32 0
+5 0 1 0 0 18 16 32 0
+5 0 1 0 0 18 17 32 0
+5 0 1 0 0 18 18 32 0
+5 0 1 0 0 18 19 32 0
+5 0 1 0 0 18 20 32 0
+5 0 1 0 0 18 21 32 0
+5 0 1 0 0 18 22 32 0
+5 0 1 0 0 18 23 32 0
+5 0 1 0 0 18 24 32 0
+5 0 1 0 0 18 25 32 0
+5 0 1 0 0 18 26 32 0
+5 0 1 0 0 18 27 32 0
+5 0 1 0 0 18 28 32 0
+5 0 1 0 0 18 29 32 0
+5 0 1 0 0 18 30 32 0
+5 0 1 0 0 18 31 32 0
+5 0 1 0 0 18 32 32 0
+5 0 1 0 0 18 33 32 0
+5 0 1 0 0 18 34 32 0
+5 0 1 0 0 18 35 32 0
+5 0 1 0 0 18 36 32 0
+5 0 1 0 0 18 37 32 0
+5 0 1 0 0 18 38 32 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0
+6 0 1 0 0 18 14 32 0
+6 0 1 0 0 18 15 32 0
+6 0 1 0 0 18 16 32 0
+6 0 1 0 0 18 17 32 0
+6 0 1 0 0 18 18 32 0
+6 0 1 0 0 18 19 32 0
+6 0 1 0 0 18 20 32 0
+6 0 1 0 0 18 21 32 0
+6 0 1 0 0 18 22 32 0
+6 0 1 0 0 18 23 32 0
+6 0 1 0 0 18 24 32 0
+6 0 1 0 0 18 25 32 0
+6 0 1 0 0 18 26 32 0
+6 0 1 0 0 18 27 32 0
+6 0 1 0 0 18 28 32 0
+6 0 1 0 0 18 29 32 0
+6 0 1 0 0 18 30 32 0
+6 0 1 0 0 18 31 32 0
+6 0 1 0 0 18 32 32 0
+6 0 1 0 0 18 33 32 0
+6 0 1 0 0 18 34 32 0
+6 0 1 0 0 18 35 32 0
+6 0 1 0 0 18 36 32 0
+6 0 1 0 0 18 37 32 0
+6 0 1 0 0 18 38 32 0
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 0
+6 0 0 0 0 18 2 32 0
+6 0 0 0 0 18 4 32 0
+6 0 0 0 0 18 6 32 0
+6 0 0 0 0 18 8 32 0
+6 0 0 0 0 18 10 32 0
+6 0 0 0 0 18 12 32 0
+6 0 0 0 0 18 14 32 0
+6 0 0 0 0 18 16 32 0
+6 0 0 0 0 18 18 32 0
+6 0 0 0 0 18 20 32 0
+6 0 0 0 0 18 22 32 0
+6 0 0 0 0 18 24 32 0
+6 0 0 0 0 18 26 32 0
+6 0 0 0 0 18 28 32 0
+6 0 0 0 0 18 30 32 0
+6 0 0 0 0 18 32 32 0
+6 0 0 0 0 18 34 32 0
+6 0 0 0 0 18 36 32 0
+6 0 0 0 0 18 38 32 0
+6 0 0 0 0 18 40 32 0
+6 0 0 0 0 18 42 32 0
+6 0 0 0 0 18 44 32 0
+6 0 0 0 0 18 46 32 0
+6 0 0 0 0 18 48 32 0
+6 0 0 0 0 18 50 32 0
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0
+7 0 1 0 0 18 14 32 0
+7 0 1 0 0 18 15 32 0
+7 0 1 0 0 18 16 32 0
+7 0 1 0 0 18 17 32 0
+7 0 1 0 0 18 18 32 0
+7 0 1 0 0 18 19 32 0
+7 0 1 0 0 18 20 32 0
+7 0 1 0 0 18 21 32 0
+7 0 1 0 0 18 22 32 0
+7 0 1 0 0 18 23 32 0
+7 0 1 0 0 18 24 32 0
+7 0 1 0 0 18 25 32 0
+7 0 1 0 0 18 26 32 0
+7 0 1 0 0 18 27 32 0
+7 0 1 0 0 18 28 32 0
+7 0 1 0 0 18 29 32 0
+7 0 1 0 0 18 30 32 0
+7 0 1 0 0 18 31 32 0
+7 0 1 0 0 18 32 32 0
+7 0 1 0 0 18 33 32 0
+7 0 1 0 0 18 34 32 0
+7 0 1 0 0 18 35 32 0
+7 0 1 0 0 18 36 32 0
+7 0 1 0 0 18 37 32 0
+7 0 1 0 0 18 38 32 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0
+8 0 1 0 0 18 14 32 0
+8 0 1 0 0 18 15 32 0
+8 0 1 0 0 18 16 32 0
+8 0 1 0 0 18 17 32 0
+8 0 1 0 0 18 18 32 0
+8 0 1 0 0 18 19 32 0
+8 0 1 0 0 18 20 32 0
+8 0 1 0 0 18 21 32 0
+8 0 1 0 0 18 22 32 0
+8 0 1 0 0 18 23 32 0
+8 0 1 0 0 18 24 32 0
+8 0 1 0 0 18 25 32 0
+8 0 1 0 0 18 26 32 0
+8 0 1 0 0 18 27 32 0
+8 0 1 0 0 18 28 32 0
+8 0 1 0 0 18 29 32 0
+8 0 1 0 0 18 30 32 0
+8 0 1 0 0 18 31 32 0
+8 0 1 0 0 18 32 32 0
+8 0 1 0 0 18 33 32 0
+8 0 1 0 0 18 34 32 0
+8 0 1 0 0 18 35 32 0
+8 0 1 0 0 18 36 32 0
+8 0 1 0 0 18 37 32 0
+8 0 1 0 0 18 38 32 0
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 0
+8 0 0 0 0 18 2 32 0
+8 0 0 0 0 18 4 32 0
+8 0 0 0 0 18 6 32 0
+8 0 0 0 0 18 8 32 0
+8 0 0 0 0 18 10 32 0
+8 0 0 0 0 18 12 32 0
+8 0 0 0 0 18 14 32 0
+8 0 0 0 0 18 16 32 0
+8 0 0 0 0 18 18 32 0
+8 0 0 0 0 18 20 32 0
+8 0 0 0 0 18 22 32 0
+8 0 0 0 0 18 24 32 0
+8 0 0 0 0 18 26 32 0
+8 0 0 0 0 18 28 32 0
+8 0 0 0 0 18 30 32 0
+8 0 0 0 0 18 32 32 0
+8 0 0 0 0 18 34 32 0
+8 0 0 0 0 18 36 32 0
+8 0 0 0 0 18 38 32 0
+8 0 0 0 0 18 40 32 0
+8 0 0 0 0 18 42 32 0
+8 0 0 0 0 18 44 32 0
+8 0 0 0 0 18 46 32 0
+8 0 0 0 0 18 48 32 0
+8 0 0 0 0 18 50 32 0
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0
+9 0 1 0 0 18 14 32 0
+9 0 1 0 0 18 15 32 0
+9 0 1 0 0 18 16 32 0
+9 0 1 0 0 18 17 32 0
+9 0 1 0 0 18 18 32 0
+9 0 1 0 0 18 19 32 0
+9 0 1 0 0 18 20 32 0
+9 0 1 0 0 18 21 32 0
+9 0 1 0 0 18 22 32 0
+9 0 1 0 0 18 23 32 0
+9 0 1 0 0 18 24 32 0
+9 0 1 0 0 18 25 32 0
+9 0 1 0 0 18 26 32 0
+9 0 1 0 0 18 27 32 0
+9 0 1 0 0 18 28 32 0
+9 0 1 0 0 18 29 32 0
+9 0 1 0 0 18 30 32 0
+9 0 1 0 0 18 31 32 0
+9 0 1 0 0 18 32 32 0
+9 0 1 0 0 18 33 32 0
+9 0 1 0 0 18 34 32 0
+9 0 1 0 0 18 35 32 0
+9 0 1 0 0 18 36 32 0
+9 0 1 0 0 18 37 32 0
+9 0 1 0 0 18 38 32 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 0
+10 0 1 0 0 18 14 32 0
+10 0 1 0 0 18 15 32 0
+10 0 1 0 0 18 16 32 0
+10 0 1 0 0 18 17 32 0
+10 0 1 0 0 18 18 32 0
+10 0 1 0 0 18 19 32 0
+10 0 1 0 0 18 20 32 0
+10 0 1 0 0 18 21 32 0
+10 0 1 0 0 18 22 32 0
+10 0 1 0 0 18 23 32 0
+10 0 1 0 0 18 24 32 0
+10 0 1 0 0 18 25 32 0
+10 0 1 0 0 18 26 32 0
+10 0 1 0 0 18 27 32 0
+10 0 1 0 0 18 28 32 0
+10 0 1 0 0 18 29 32 0
+10 0 1 0 0 18 30 32 0
+10 0 1 0 0 18 31 32 0
+10 0 1 0 0 18 32 32 0
+10 0 1 0 0 18 33 32 0
+10 0 1 0 0 18 34 32 0
+10 0 1 0 0 18 35 32 0
+10 0 1 0 0 18 36 32 0
+10 0 1 0 0 18 37 32 0
+10 0 1 0 0 18 38 32 0
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 0
+10 0 0 0 0 18 2 32 0
+10 0 0 0 0 18 4 32 0
+10 0 0 0 0 18 6 32 0
+10 0 0 0 0 18 8 32 0
+10 0 0 0 0 18 10 32 0
+10 0 0 0 0 18 12 32 0
+10 0 0 0 0 18 14 32 0
+10 0 0 0 0 18 16 32 0
+10 0 0 0 0 18 18 32 0
+10 0 0 0 0 18 20 32 0
+10 0 0 0 0 18 22 32 0
+10 0 0 0 0 18 24 32 0
+10 0 0 0 0 18 26 32 0
+10 0 0 0 0 18 28 32 0
+10 0 0 0 0 18 30 32 0
+10 0 0 0 0 18 32 32 0
+10 0 0 0 0 18 34 32 0
+10 0 0 0 0 18 36 32 0
+10 0 0 0 0 18 38 32 0
+10 0 0 0 0 18 40 32 0
+10 0 0 0 0 18 42 32 0
+10 0 0 0 0 18 44 32 0
+10 0 0 0 0 18 46 32 0
+10 0 0 0 0 18 48 32 0
+10 0 0 0 0 18 50 32 0
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0
+11 0 1 0 0 18 14 32 0
+11 0 1 0 0 18 15 32 0
+11 0 1 0 0 18 16 32 0
+11 0 1 0 0 18 17 32 0
+11 0 1 0 0 18 18 32 0
+11 0 1 0 0 18 19 32 0
+11 0 1 0 0 18 20 32 0
+11 0 1 0 0 18 21 32 0
+11 0 1 0 0 18 22 32 0
+11 0 1 0 0 18 23 32 0
+11 0 1 0 0 18 24 32 0
+11 0 1 0 0 18 25 32 0
+11 0 1 0 0 18 26 32 0
+11 0 1 0 0 18 27 32 0
+11 0 1 0 0 18 28 32 0
+11 0 1 0 0 18 29 32 0
+11 0 1 0 0 18 30 32 0
+11 0 1 0 0 18 31 32 0
+11 0 1 0 0 18 32 32 0
+11 0 1 0 0 18 33 32 0
+11 0 1 0 0 18 34 32 0
+11 0 1 0 0 18 35 32 0
+11 0 1 0 0 18 36 32 0
+11 0 1 0 0 18 37 32 0
+11 0 1 0 0 18 38 32 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0
+12 0 1 0 0 18 14 32 0
+12 0 1 0 0 18 15 32 0
+12 0 1 0 0 18 16 32 0
+12 0 1 0 0 18 17 32 0
+12 0 1 0 0 18 18 32 0
+12 0 1 0 0 18 19 32 0
+12 0 1 0 0 18 20 32 0
+12 0 1 0 0 18 21 32 0
+12 0 1 0 0 18 22 32 0
+12 0 1 0 0 18 23 32 0
+12 0 1 0 0 18 24 32 0
+12 0 1 0 0 18 25 32 0
+12 0 1 0 0 18 26 32 0
+12 0 1 0 0 18 27 32 0
+12 0 1 0 0 18 28 32 0
+12 0 1 0 0 18 29 32 0
+12 0 1 0 0 18 30 32 0
+12 0 1 0 0 18 31 32 0
+12 0 1 0 0 18 32 32 0
+12 0 1 0 0 18 33 32 0
+12 0 1 0 0 18 34 32 0
+12 0 1 0 0 18 35 32 0
+12 0 1 0 0 18 36 32 0
+12 0 1 0 0 18 37 32 0
+12 0 1 0 0 18 38 32 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0
+12 0 0 0 0 18 2 32 0
+12 0 0 0 0 18 4 32 0
+12 0 0 0 0 18 6 32 0
+12 0 0 0 0 18 8 32 0
+12 0 0 0 0 18 10 32 0
+12 0 0 0 0 18 12 32 0
+12 0 0 0 0 18 14 32 0
+12 0 0 0 0 18 16 32 0
+12 0 0 0 0 18 18 32 0
+12 0 0 0 0 18 20 32 0
+12 0 0 0 0 18 22 32 0
+12 0 0 0 0 18 24 32 0
+12 0 0 0 0 18 26 32 0
+12 0 0 0 0 18 28 32 0
+12 0 0 0 0 18 30 32 0
+12 0 0 0 0 18 32 32 0
+12 0 0 0 0 18 34 32 0
+12 0 0 0 0 18 36 32 0
+12 0 0 0 0 18 38 32 0
+12 0 0 0 0 18 40 32 0
+12 0 0 0 0 18 42 32 0
+12 0 0 0 0 18 44 32 0
+12 0 0 0 0 18 46 32 0
+12 0 0 0 0 18 48 32 0
+12 0 0 0 0 18 50 32 0
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.zl
new file mode 100644
index 000000000..a1ef57457
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/cart3d_z.zl
@@ -0,0 +1,782 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -4.5
+0 0 1 0 0 18 24 18 -4.2
+0 0 1 0 0 18 24 19 -3.9
+0 0 1 0 0 18 24 20 -3.6
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+# iteration 3
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+# iteration 4
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+# iteration 4
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+# iteration 5
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+
+# iteration 6
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+
+# iteration 6
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+
+# iteration 7
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+# column format: it tl rl c ml x y z data
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+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+# iteration 8
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+# column format: it tl rl c ml x y z data
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+
+# iteration 9
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+# column format: it tl rl c ml x y z data
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+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+10 0 1 0 0 18 24 35 0.9
+10 0 1 0 0 18 24 36 1.2
+10 0 1 0 0 18 24 37 1.5
+10 0 1 0 0 18 24 38 1.8
+10 0 1 0 0 18 24 39 2.1
+10 0 1 0 0 18 24 40 2.4
+10 0 1 0 0 18 24 41 2.7
+10 0 1 0 0 18 24 42 3
+10 0 1 0 0 18 24 43 3.3
+10 0 1 0 0 18 24 44 3.6
+10 0 1 0 0 18 24 45 3.9
+10 0 1 0 0 18 24 46 4.2
+10 0 1 0 0 18 24 47 4.5
+10 0 1 0 0 18 24 48 4.8
+10 0 1 0 0 18 24 49 5.1
+10 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 -9.6
+10 0 0 0 0 18 24 2 -9
+10 0 0 0 0 18 24 4 -8.4
+10 0 0 0 0 18 24 6 -7.8
+10 0 0 0 0 18 24 8 -7.2
+10 0 0 0 0 18 24 10 -6.6
+10 0 0 0 0 18 24 12 -6
+10 0 0 0 0 18 24 14 -5.4
+10 0 0 0 0 18 24 16 -4.8
+10 0 0 0 0 18 24 18 -4.2
+10 0 0 0 0 18 24 20 -3.6
+10 0 0 0 0 18 24 22 -3
+10 0 0 0 0 18 24 24 -2.4
+10 0 0 0 0 18 24 26 -1.8
+10 0 0 0 0 18 24 28 -1.2
+10 0 0 0 0 18 24 30 -0.6
+10 0 0 0 0 18 24 32 0
+10 0 0 0 0 18 24 34 0.6
+10 0 0 0 0 18 24 36 1.2
+10 0 0 0 0 18 24 38 1.8
+10 0 0 0 0 18 24 40 2.4
+10 0 0 0 0 18 24 42 3
+10 0 0 0 0 18 24 44 3.6
+10 0 0 0 0 18 24 46 4.2
+10 0 0 0 0 18 24 48 4.8
+10 0 0 0 0 18 24 50 5.4
+10 0 0 0 0 18 24 52 6
+10 0 0 0 0 18 24 54 6.6
+10 0 0 0 0 18 24 56 7.2
+10 0 0 0 0 18 24 58 7.8
+10 0 0 0 0 18 24 60 8.4
+10 0 0 0 0 18 24 62 9
+10 0 0 0 0 18 24 64 9.6
+10 0 0 0 0 18 24 66 10.2
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 -4.5
+11 0 1 0 0 18 24 18 -4.2
+11 0 1 0 0 18 24 19 -3.9
+11 0 1 0 0 18 24 20 -3.6
+11 0 1 0 0 18 24 21 -3.3
+11 0 1 0 0 18 24 22 -3
+11 0 1 0 0 18 24 23 -2.7
+11 0 1 0 0 18 24 24 -2.4
+11 0 1 0 0 18 24 25 -2.1
+11 0 1 0 0 18 24 26 -1.8
+11 0 1 0 0 18 24 27 -1.5
+11 0 1 0 0 18 24 28 -1.2
+11 0 1 0 0 18 24 29 -0.9
+11 0 1 0 0 18 24 30 -0.6
+11 0 1 0 0 18 24 31 -0.3
+11 0 1 0 0 18 24 32 0
+11 0 1 0 0 18 24 33 0.3
+11 0 1 0 0 18 24 34 0.6
+11 0 1 0 0 18 24 35 0.9
+11 0 1 0 0 18 24 36 1.2
+11 0 1 0 0 18 24 37 1.5
+11 0 1 0 0 18 24 38 1.8
+11 0 1 0 0 18 24 39 2.1
+11 0 1 0 0 18 24 40 2.4
+11 0 1 0 0 18 24 41 2.7
+11 0 1 0 0 18 24 42 3
+11 0 1 0 0 18 24 43 3.3
+11 0 1 0 0 18 24 44 3.6
+11 0 1 0 0 18 24 45 3.9
+11 0 1 0 0 18 24 46 4.2
+11 0 1 0 0 18 24 47 4.5
+11 0 1 0 0 18 24 48 4.8
+11 0 1 0 0 18 24 49 5.1
+11 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 -4.5
+12 0 1 0 0 18 24 18 -4.2
+12 0 1 0 0 18 24 19 -3.9
+12 0 1 0 0 18 24 20 -3.6
+12 0 1 0 0 18 24 21 -3.3
+12 0 1 0 0 18 24 22 -3
+12 0 1 0 0 18 24 23 -2.7
+12 0 1 0 0 18 24 24 -2.4
+12 0 1 0 0 18 24 25 -2.1
+12 0 1 0 0 18 24 26 -1.8
+12 0 1 0 0 18 24 27 -1.5
+12 0 1 0 0 18 24 28 -1.2
+12 0 1 0 0 18 24 29 -0.9
+12 0 1 0 0 18 24 30 -0.6
+12 0 1 0 0 18 24 31 -0.3
+12 0 1 0 0 18 24 32 0
+12 0 1 0 0 18 24 33 0.3
+12 0 1 0 0 18 24 34 0.6
+12 0 1 0 0 18 24 35 0.9
+12 0 1 0 0 18 24 36 1.2
+12 0 1 0 0 18 24 37 1.5
+12 0 1 0 0 18 24 38 1.8
+12 0 1 0 0 18 24 39 2.1
+12 0 1 0 0 18 24 40 2.4
+12 0 1 0 0 18 24 41 2.7
+12 0 1 0 0 18 24 42 3
+12 0 1 0 0 18 24 43 3.3
+12 0 1 0 0 18 24 44 3.6
+12 0 1 0 0 18 24 45 3.9
+12 0 1 0 0 18 24 46 4.2
+12 0 1 0 0 18 24 47 4.5
+12 0 1 0 0 18 24 48 4.8
+12 0 1 0 0 18 24 49 5.1
+12 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 -9.6
+12 0 0 0 0 18 24 2 -9
+12 0 0 0 0 18 24 4 -8.4
+12 0 0 0 0 18 24 6 -7.8
+12 0 0 0 0 18 24 8 -7.2
+12 0 0 0 0 18 24 10 -6.6
+12 0 0 0 0 18 24 12 -6
+12 0 0 0 0 18 24 14 -5.4
+12 0 0 0 0 18 24 16 -4.8
+12 0 0 0 0 18 24 18 -4.2
+12 0 0 0 0 18 24 20 -3.6
+12 0 0 0 0 18 24 22 -3
+12 0 0 0 0 18 24 24 -2.4
+12 0 0 0 0 18 24 26 -1.8
+12 0 0 0 0 18 24 28 -1.2
+12 0 0 0 0 18 24 30 -0.6
+12 0 0 0 0 18 24 32 0
+12 0 0 0 0 18 24 34 0.6
+12 0 0 0 0 18 24 36 1.2
+12 0 0 0 0 18 24 38 1.8
+12 0 0 0 0 18 24 40 2.4
+12 0 0 0 0 18 24 42 3
+12 0 0 0 0 18 24 44 3.6
+12 0 0 0 0 18 24 46 4.2
+12 0 0 0 0 18 24 48 4.8
+12 0 0 0 0 18 24 50 5.4
+12 0 0 0 0 18 24 52 6
+12 0 0 0 0 18 24 54 6.6
+12 0 0 0 0 18 24 56 7.2
+12 0 0 0 0 18 24 58 7.8
+12 0 0 0 0 18 24 60 8.4
+12 0 0 0 0 18 24 62 9
+12 0 0 0 0 18 24 64 9.6
+12 0 0 0 0 18 24 66 10.2
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.xl
new file mode 100644
index 000000000..d7d25bdc2
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.xl
@@ -0,0 +1,482 @@
+# WAVETOY::phi x (phi)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 -0.309016994374946
+0 0 1 0 0 10 24 32 -0.104528463267652
+0 0 1 0 0 11 24 32 0.104528463267655
+0 0 1 0 0 12 24 32 0.309016994374949
+0 0 1 0 0 13 24 32 0.500000000000001
+0 0 1 0 0 14 24 32 0.669130606358859
+0 0 1 0 0 15 24 32 0.809016994374948
+0 0 1 0 0 16 24 32 0.913545457642601
+0 0 1 0 0 17 24 32 0.978147600733806
+0 0 1 0 0 18 24 32 1
+0 0 1 0 0 19 24 32 0.978147600733806
+0 0 1 0 0 20 24 32 0.913545457642601
+0 0 1 0 0 21 24 32 0.809016994374948
+0 0 1 0 0 22 24 32 0.669130606358859
+0 0 1 0 0 23 24 32 0.500000000000001
+0 0 1 0 0 24 24 32 0.309016994374949
+0 0 1 0 0 25 24 32 0.104528463267655
+0 0 1 0 0 26 24 32 -0.104528463267652
+0 0 1 0 0 27 24 32 -0.309016994374946
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 -0.809016994374946
+0 0 0 0 0 2 24 32 -0.978147600733805
+0 0 0 0 0 4 24 32 -0.978147600733805
+0 0 0 0 0 6 24 32 -0.809016994374946
+0 0 0 0 0 8 24 32 -0.499999999999998
+0 0 0 0 0 10 24 32 -0.104528463267652
+0 0 0 0 0 12 24 32 0.309016994374949
+0 0 0 0 0 14 24 32 0.669130606358859
+0 0 0 0 0 16 24 32 0.913545457642601
+0 0 0 0 0 18 24 32 1
+0 0 0 0 0 20 24 32 0.913545457642601
+0 0 0 0 0 22 24 32 0.669130606358859
+0 0 0 0 0 24 24 32 0.309016994374949
+0 0 0 0 0 26 24 32 -0.104528463267652
+0 0 0 0 0 28 24 32 -0.499999999999998
+0 0 0 0 0 30 24 32 -0.809016994374946
+0 0 0 0 0 32 24 32 -0.978147600733805
+0 0 0 0 0 34 24 32 -0.978147600733805
+0 0 0 0 0 36 24 32 -0.809016994374946
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 -0.151261786279002
+1 0 1 0 0 10 24 32 0.0574322048464631
+1 0 1 0 0 11 24 32 0.265894777810503
+1 0 1 0 0 12 24 32 0.460517568676976
+1 0 1 0 0 13 24 32 0.635013531983796
+1 0 1 0 0 14 24 32 0.781756356809923
+1 0 1 0 0 15 24 32 0.894332677560258
+1 0 1 0 0 16 24 32 0.967822368816891
+1 0 1 0 0 17 24 32 0.999013578429243
+1 0 1 0 0 18 24 32 0.986543100865224
+1 0 1 0 0 19 24 32 0.930955955834372
+1 0 1 0 0 20 24 32 0.834681568311252
+1 0 1 0 0 21 24 32 0.70192759100639
+1 0 1 0 0 22 24 32 0.538496009752269
+1 0 1 0 0 23 24 32 0.35152956888143
+1 0 1 0 0 24 24 32 0.14919959902445
+1 0 1 0 0 25 24 32 -0.0596511092490056
+1 0 1 0 0 26 24 32 -0.263723767809526
+1 0 1 0 0 27 24 32 -0.458163317028104
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 0.0145114768391913
+2 0 1 0 0 10 24 32 0.222181380226812
+2 0 1 0 0 11 24 32 0.419542714680454
+2 0 1 0 0 12 24 32 0.599611026780361
+2 0 1 0 0 13 24 32 0.752918733656398
+2 0 1 0 0 14 24 32 0.873320278966721
+2 0 1 0 0 15 24 32 0.955553537430554
+2 0 1 0 0 16 24 32 0.996024521054073
+2 0 1 0 0 17 24 32 0.992964453651605
+2 0 1 0 0 18 24 32 0.94650707485247
+2 0 1 0 0 19 24 32 0.858682795037428
+2 0 1 0 0 20 24 32 0.733329956662046
+2 0 1 0 0 21 24 32 0.575927080272984
+2 0 1 0 0 22 24 32 0.393353426871245
+2 0 1 0 0 23 24 32 0.193588341196074
+2 0 1 0 0 24 24 32 -0.0146374839292919
+2 0 1 0 0 25 24 32 -0.221680828268263
+2 0 1 0 0 26 24 32 -0.420130565085166
+2 0 1 0 0 27 24 32 -0.599291584659013
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 -0.955842350449065
+2 0 0 0 0 2 24 32 -0.993315939157588
+2 0 0 0 0 4 24 32 -0.85903617799375
+2 0 0 0 0 6 24 32 -0.576221257556116
+2 0 0 0 0 8 24 32 -0.193772446881243
+2 0 0 0 0 10 24 32 0.222181380226812
+2 0 0 0 0 12 24 32 0.599611026780361
+2 0 0 0 0 14 24 32 0.873320278966721
+2 0 0 0 0 16 24 32 0.996024521054073
+2 0 0 0 0 18 24 32 0.94650707485247
+2 0 0 0 0 20 24 32 0.733329956662046
+2 0 0 0 0 22 24 32 0.393353426871245
+2 0 0 0 0 24 24 32 -0.0146374839292919
+2 0 0 0 0 26 24 32 -0.420130565085166
+2 0 0 0 0 28 24 32 -0.753094935792752
+2 0 0 0 0 30 24 32 -0.955842350449065
+2 0 0 0 0 32 24 32 -0.993315939157588
+2 0 0 0 0 34 24 32 -0.85903617799375
+2 0 0 0 0 36 24 32 -0.576221257556116
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 0.175589529642126
+3 0 1 0 0 10 24 32 0.376635566938486
+3 0 1 0 0 11 24 32 0.562142124741235
+3 0 1 0 0 12 24 32 0.722411275954512
+3 0 1 0 0 13 24 32 0.850539041001416
+3 0 1 0 0 14 24 32 0.941355487092263
+3 0 1 0 0 15 24 32 0.991030181272384
+3 0 1 0 0 16 24 32 0.997392101040478
+3 0 1 0 0 17 24 32 0.960163199974803
+3 0 1 0 0 18 24 32 0.880970559696016
+3 0 1 0 0 19 24 32 0.763275278592748
+3 0 1 0 0 20 24 32 0.612221205213832
+3 0 1 0 0 21 24 32 0.434410127403789
+3 0 1 0 0 22 24 32 0.237613242495134
+3 0 1 0 0 23 24 32 0.0304315186946015
+3 0 1 0 0 24 24 32 -0.177944520374452
+3 0 1 0 0 25 24 32 -0.377983838557152
+3 0 1 0 0 26 24 32 -0.561130717710635
+3 0 1 0 0 27 24 32 -0.720553132302205
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 0.336269996655584
+4 0 1 0 0 10 24 32 0.52515593029312
+4 0 1 0 0 11 24 32 0.689402564635564
+4 0 1 0 0 12 24 32 0.825604892736423
+4 0 1 0 0 13 24 32 0.925209728719011
+4 0 1 0 0 14 24 32 0.984028998494406
+4 0 1 0 0 15 24 32 0.999806808759285
+4 0 1 0 0 16 24 32 0.971888263876029
+4 0 1 0 0 17 24 32 0.901493538224079
+4 0 1 0 0 18 24 32 0.791699219105795
+4 0 1 0 0 19 24 32 0.647303845118242
+4 0 1 0 0 20 24 32 0.474618186990557
+4 0 1 0 0 21 24 32 0.281189436620642
+4 0 1 0 0 22 24 32 0.0754713585737853
+4 0 1 0 0 23 24 32 -0.133511257963239
+4 0 1 0 0 24 24 32 -0.336310514356458
+4 0 1 0 0 25 24 32 -0.523951477295099
+4 0 1 0 0 26 24 32 -0.69093027148058
+4 0 1 0 0 27 24 32 -0.8258387304782
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 -1.00067162789428
+4 0 0 0 0 2 24 32 -0.902489465166893
+4 0 0 0 0 4 24 32 -0.648258675052749
+4 0 0 0 0 6 24 32 -0.281938070776809
+4 0 0 0 0 8 24 32 0.133132187263405
+4 0 0 0 0 10 24 32 0.52515593029312
+4 0 0 0 0 12 24 32 0.825604892736423
+4 0 0 0 0 14 24 32 0.984028998494406
+4 0 0 0 0 16 24 32 0.971888263876029
+4 0 0 0 0 18 24 32 0.791699219105795
+4 0 0 0 0 20 24 32 0.474618186990557
+4 0 0 0 0 22 24 32 0.0754713585737853
+4 0 0 0 0 24 24 32 -0.336310514356458
+4 0 0 0 0 26 24 32 -0.69093027148058
+4 0 0 0 0 28 24 32 -0.925828575342397
+4 0 0 0 0 30 24 32 -1.00067162789428
+4 0 0 0 0 32 24 32 -0.902489465166893
+4 0 0 0 0 34 24 32 -0.648258675052749
+4 0 0 0 0 36 24 32 -0.281938070776809
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 0.483698896184605
+5 0 1 0 0 10 24 32 0.655556578256676
+5 0 1 0 0 11 24 32 0.798563147594617
+5 0 1 0 0 12 24 32 0.906419250880465
+5 0 1 0 0 13 24 32 0.974865967324973
+5 0 1 0 0 14 24 32 1.0001824495606
+5 0 1 0 0 15 24 32 0.981646962816721
+5 0 1 0 0 16 24 32 0.920200125737682
+5 0 1 0 0 17 24 32 0.818536127553799
+5 0 1 0 0 18 24 32 0.681098172823695
+5 0 1 0 0 19 24 32 0.513892959669554
+5 0 1 0 0 20 24 32 0.324228158245842
+5 0 1 0 0 21 24 32 0.120393030487469
+5 0 1 0 0 22 24 32 -0.0886953699052475
+5 0 1 0 0 23 24 32 -0.293768198986231
+5 0 1 0 0 24 24 32 -0.485482570689259
+5 0 1 0 0 25 24 32 -0.656299384752529
+5 0 1 0 0 26 24 32 -0.798658440092609
+5 0 1 0 0 27 24 32 -0.906090957739124
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 0.622087331796265
+6 0 1 0 0 10 24 32 0.771899474840499
+6 0 1 0 0 11 24 32 0.886091798424279
+6 0 1 0 0 12 24 32 0.962850294055855
+6 0 1 0 0 13 24 32 0.998124653436906
+6 0 1 0 0 14 24 32 0.989354412456409
+6 0 1 0 0 15 24 32 0.937037733273691
+6 0 1 0 0 16 24 32 0.843720251816416
+6 0 1 0 0 17 24 32 0.713525979836978
+6 0 1 0 0 18 24 32 0.552147198661139
+6 0 1 0 0 19 24 32 0.366636935407593
+6 0 1 0 0 20 24 32 0.165102878757525
+6 0 1 0 0 21 24 32 -0.0436448458188034
+6 0 1 0 0 22 24 32 -0.250437269526555
+6 0 1 0 0 23 24 32 -0.445975258983977
+6 0 1 0 0 24 24 32 -0.621636683578075
+6 0 1 0 0 25 24 32 -0.770971053775322
+6 0 1 0 0 26 24 32 -0.887938818980852
+6 0 1 0 0 27 24 32 -0.964273070608217
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 -0.93872118168269
+6 0 0 0 0 2 24 32 -0.715360095193742
+6 0 0 0 0 4 24 32 -0.368306749403354
+6 0 0 0 0 6 24 32 0.0424301793206506
+6 0 0 0 0 8 24 32 0.44582385698286
+6 0 0 0 0 10 24 32 0.771899474840499
+6 0 0 0 0 12 24 32 0.962850294055855
+6 0 0 0 0 14 24 32 0.989354412456409
+6 0 0 0 0 16 24 32 0.843720251816416
+6 0 0 0 0 18 24 32 0.552147198661139
+6 0 0 0 0 20 24 32 0.165102878757525
+6 0 0 0 0 22 24 32 -0.250437269526555
+6 0 0 0 0 24 24 32 -0.621636683578075
+6 0 0 0 0 26 24 32 -0.887938818980852
+6 0 0 0 0 28 24 32 -0.999776077908319
+6 0 0 0 0 30 24 32 -0.93872118168269
+6 0 0 0 0 32 24 32 -0.715360095193742
+6 0 0 0 0 34 24 32 -0.368306749403354
+6 0 0 0 0 36 24 32 0.0424301793206506
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 0.740048402263257
+7 0 1 0 0 10 24 32 0.864228003196929
+7 0 1 0 0 11 24 32 0.950017686016362
+7 0 1 0 0 12 24 32 0.993475806391951
+7 0 1 0 0 13 24 32 0.994382512929133
+7 0 1 0 0 14 24 32 0.951794221135042
+7 0 1 0 0 15 24 32 0.867171171506628
+7 0 1 0 0 16 24 32 0.744508596549102
+7 0 1 0 0 17 24 32 0.589292244694338
+7 0 1 0 0 18 24 32 0.408320452283802
+7 0 1 0 0 19 24 32 0.209503096769549
+7 0 1 0 0 20 24 32 0.00152998065080954
+7 0 1 0 0 21 24 32 -0.206494794503942
+7 0 1 0 0 22 24 32 -0.405353110557225
+7 0 1 0 0 23 24 32 -0.586064996035217
+7 0 1 0 0 24 24 32 -0.74124811580924
+7 0 1 0 0 25 24 32 -0.865151523905914
+7 0 1 0 0 26 24 32 -0.950824365797891
+7 0 1 0 0 27 24 32 -0.99488998143185
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 0.841286346823827
+8 0 1 0 0 10 24 32 0.935861035608521
+8 0 1 0 0 11 24 32 0.988088484522906
+8 0 1 0 0 12 24 32 0.997545319172963
+8 0 1 0 0 13 24 32 0.963837390418313
+8 0 1 0 0 14 24 32 0.888480649298602
+8 0 1 0 0 15 24 32 0.773906414960799
+8 0 1 0 0 16 24 32 0.625234829541976
+8 0 1 0 0 17 24 32 0.449181852024121
+8 0 1 0 0 18 24 32 0.25349286762722
+8 0 1 0 0 19 24 32 0.0467250255980308
+8 0 1 0 0 20 24 32 -0.162080308260989
+8 0 1 0 0 21 24 32 -0.363745566066973
+8 0 1 0 0 22 24 32 -0.549238616544198
+8 0 1 0 0 23 24 32 -0.71038732810691
+8 0 1 0 0 24 24 32 -0.841169483901834
+8 0 1 0 0 25 24 32 -0.935847668199378
+8 0 1 0 0 26 24 32 -0.989964094659531
+8 0 1 0 0 27 24 32 -0.999693913791296
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 -0.776603430985959
+8 0 0 0 0 2 24 32 -0.451896040444297
+8 0 0 0 0 4 24 32 -0.0490535266791296
+8 0 0 0 0 6 24 32 0.362269115588366
+8 0 0 0 0 8 24 32 0.710884763618395
+8 0 0 0 0 10 24 32 0.935861035608521
+8 0 0 0 0 12 24 32 0.997545319172963
+8 0 0 0 0 14 24 32 0.888480649298602
+8 0 0 0 0 16 24 32 0.625234829541976
+8 0 0 0 0 18 24 32 0.25349286762722
+8 0 0 0 0 20 24 32 -0.162080308260989
+8 0 0 0 0 22 24 32 -0.549238616544198
+8 0 0 0 0 24 24 32 -0.841169483901834
+8 0 0 0 0 26 24 32 -0.989964094659531
+8 0 0 0 0 28 24 32 -0.967033972064534
+8 0 0 0 0 30 24 32 -0.776603430985959
+8 0 0 0 0 32 24 32 -0.451896040444297
+8 0 0 0 0 34 24 32 -0.0490535266791296
+8 0 0 0 0 36 24 32 0.362269115588366
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 0.91709871291978
+9 0 1 0 0 10 24 32 0.980254744851459
+9 0 1 0 0 11 24 32 0.999572739949173
+9 0 1 0 0 12 24 32 0.974842626639542
+9 0 1 0 0 13 24 32 0.907444003928918
+9 0 1 0 0 14 24 32 0.801132223043735
+9 0 1 0 0 15 24 32 0.659722471936845
+9 0 1 0 0 16 24 32 0.489102238416146
+9 0 1 0 0 17 24 32 0.296968593766186
+9 0 1 0 0 18 24 32 0.0918357589423476
+9 0 1 0 0 19 24 32 -0.117310735351214
+9 0 1 0 0 20 24 32 -0.321309658333099
+9 0 1 0 0 21 24 32 -0.511127151704618
+9 0 1 0 0 22 24 32 -0.678242499203981
+9 0 1 0 0 23 24 32 -0.815746830761705
+9 0 1 0 0 24 24 32 -0.918581402659386
+9 0 1 0 0 25 24 32 -0.981331148085576
+9 0 1 0 0 26 24 32 -1.00131115228635
+9 0 1 0 0 27 24 32 -0.977330750657362
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 0.970364129522502
+10 0 1 0 0 10 24 32 0.999590406667015
+10 0 1 0 0 11 24 32 0.98395818838509
+10 0 1 0 0 12 24 32 0.925847718564605
+10 0 1 0 0 13 24 32 0.82679155562301
+10 0 1 0 0 14 24 32 0.692179488376387
+10 0 1 0 0 15 24 32 0.527669834439484
+10 0 1 0 0 16 24 32 0.339757981202273
+10 0 1 0 0 17 24 32 0.136749432778823
+10 0 1 0 0 18 24 32 -0.0722955569145528
+10 0 1 0 0 19 24 32 -0.278180780923943
+10 0 1 0 0 20 24 32 -0.47184754142224
+10 0 1 0 0 21 24 32 -0.644647578297847
+10 0 1 0 0 22 24 32 -0.788984803126766
+10 0 1 0 0 23 24 32 -0.899373708098743
+10 0 1 0 0 24 24 32 -0.97123383785631
+10 0 1 0 0 25 24 32 -1.00032620391531
+10 0 1 0 0 26 24 32 -0.986214489771477
+10 0 1 0 0 27 24 32 -0.928253212023151
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 -0.531617072978908
+10 0 0 0 0 2 24 32 -0.140211489787219
+10 0 0 0 0 4 24 32 0.275433684520453
+10 0 0 0 0 6 24 32 0.643434175685613
+10 0 0 0 0 8 24 32 0.899908303851745
+10 0 0 0 0 10 24 32 0.999590406667015
+10 0 0 0 0 12 24 32 0.925847718564605
+10 0 0 0 0 14 24 32 0.692179488376387
+10 0 0 0 0 16 24 32 0.339757981202273
+10 0 0 0 0 18 24 32 -0.0722955569145528
+10 0 0 0 0 20 24 32 -0.47184754142224
+10 0 0 0 0 22 24 32 -0.788984803126766
+10 0 0 0 0 24 24 32 -0.97123383785631
+10 0 0 0 0 26 24 32 -0.986214489771477
+10 0 0 0 0 28 24 32 -0.831028686539359
+10 0 0 0 0 30 24 32 -0.531617072978908
+10 0 0 0 0 32 24 32 -0.140211489787219
+10 0 0 0 0 34 24 32 0.275433684520453
+10 0 0 0 0 36 24 32 0.643434175685613
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 0.996005196761483
+11 0 1 0 0 10 24 32 0.991400974398205
+11 0 1 0 0 11 24 32 0.941888204443525
+11 0 1 0 0 12 24 32 0.851768094189307
+11 0 1 0 0 13 24 32 0.724006655314097
+11 0 1 0 0 14 24 32 0.564668679132419
+11 0 1 0 0 15 24 32 0.381316123212864
+11 0 1 0 0 16 24 32 0.181198070161045
+11 0 1 0 0 17 24 32 -0.0271689787587148
+11 0 1 0 0 18 24 32 -0.234479078787099
+11 0 1 0 0 19 24 32 -0.431540957966372
+11 0 1 0 0 20 24 32 -0.609611987742274
+11 0 1 0 0 21 24 32 -0.760729544863711
+11 0 1 0 0 22 24 32 -0.878604996814181
+11 0 1 0 0 23 24 32 -0.95895238234286
+11 0 1 0 0 24 24 32 -0.997617776417496
+11 0 1 0 0 25 24 32 -0.992430736453481
+11 0 1 0 0 26 24 32 -0.944909456143948
+11 0 1 0 0 27 24 32 -0.855398422863892
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 0.995673415442478
+12 0 1 0 0 10 24 32 0.95650879693069
+12 0 1 0 0 11 24 32 0.874509673312311
+12 0 1 0 0 12 24 32 0.754619067746618
+12 0 1 0 0 13 24 32 0.601724281559327
+12 0 1 0 0 14 24 32 0.422110615761253
+12 0 1 0 0 15 24 32 0.224664995176923
+12 0 1 0 0 16 24 32 0.0176740541939568
+12 0 1 0 0 17 24 32 -0.190388082494485
+12 0 1 0 0 18 24 32 -0.390345270346837
+12 0 1 0 0 19 24 32 -0.573242148229137
+12 0 1 0 0 20 24 32 -0.730875479798783
+12 0 1 0 0 21 24 32 -0.856318296376195
+12 0 1 0 0 22 24 32 -0.944766199136314
+12 0 1 0 0 23 24 32 -0.9927417923288
+12 0 1 0 0 24 24 32 -0.997056844590064
+12 0 1 0 0 25 24 32 -0.95799221764717
+12 0 1 0 0 26 24 32 -0.877317601727418
+12 0 1 0 0 27 24 32 -0.757753786592358
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 -0.229884753786092
+12 0 0 0 0 2 24 32 0.186433693998438
+12 0 0 0 0 4 24 32 0.570524978598731
+12 0 0 0 0 6 24 32 0.855871938869183
+12 0 0 0 0 8 24 32 0.992606952756489
+12 0 0 0 0 10 24 32 0.95650879693069
+12 0 0 0 0 12 24 32 0.754619067746618
+12 0 0 0 0 14 24 32 0.422110615761253
+12 0 0 0 0 16 24 32 0.0176740541939568
+12 0 0 0 0 18 24 32 -0.390345270346837
+12 0 0 0 0 20 24 32 -0.730875479798783
+12 0 0 0 0 22 24 32 -0.944766199136314
+12 0 0 0 0 24 24 32 -0.997056844590064
+12 0 0 0 0 26 24 32 -0.877317601727418
+12 0 0 0 0 28 24 32 -0.606212595575405
+12 0 0 0 0 30 24 32 -0.229884753786092
+12 0 0 0 0 32 24 32 0.186433693998438
+12 0 0 0 0 34 24 32 0.570524978598731
+12 0 0 0 0 36 24 32 0.855871938869183
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.yl
new file mode 100644
index 000000000..0bbc40b4f
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.yl
@@ -0,0 +1,622 @@
+# WAVETOY::phi y (phi)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 -4.60170638573454e-15
+0 0 1 0 0 18 14 32 0.142314838273281
+0 0 1 0 0 18 15 32 0.281732556841426
+0 0 1 0 0 18 16 32 0.415415013001883
+0 0 1 0 0 18 17 32 0.540640817455595
+0 0 1 0 0 18 18 32 0.654860733945283
+0 0 1 0 0 18 19 32 0.755749574354257
+0 0 1 0 0 18 20 32 0.84125353283118
+0 0 1 0 0 18 21 32 0.909631995354518
+0 0 1 0 0 18 22 32 0.959492973614497
+0 0 1 0 0 18 23 32 0.989821441880933
+0 0 1 0 0 18 24 32 1
+0 0 1 0 0 18 25 32 0.989821441880933
+0 0 1 0 0 18 26 32 0.959492973614497
+0 0 1 0 0 18 27 32 0.909631995354518
+0 0 1 0 0 18 28 32 0.84125353283118
+0 0 1 0 0 18 29 32 0.755749574354257
+0 0 1 0 0 18 30 32 0.654860733945283
+0 0 1 0 0 18 31 32 0.540640817455595
+0 0 1 0 0 18 32 32 0.415415013001883
+0 0 1 0 0 18 33 32 0.281732556841426
+0 0 1 0 0 18 34 32 0.142314838273281
+0 0 1 0 0 18 35 32 -4.82375099065957e-15
+0 0 1 0 0 18 36 32 -0.142314838273291
+0 0 1 0 0 18 37 32 -0.281732556841435
+0 0 1 0 0 18 38 32 -0.415415013001892
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 -0.9594929736145
+0 0 0 0 0 18 2 32 -1
+0 0 0 0 0 18 4 32 -0.9594929736145
+0 0 0 0 0 18 6 32 -0.841253532831185
+0 0 0 0 0 18 8 32 -0.65486073394529
+0 0 0 0 0 18 10 32 -0.415415013001892
+0 0 0 0 0 18 12 32 -0.14231483827329
+0 0 0 0 0 18 14 32 0.142314838273281
+0 0 0 0 0 18 16 32 0.415415013001883
+0 0 0 0 0 18 18 32 0.654860733945283
+0 0 0 0 0 18 20 32 0.84125353283118
+0 0 0 0 0 18 22 32 0.959492973614497
+0 0 0 0 0 18 24 32 1
+0 0 0 0 0 18 26 32 0.959492973614497
+0 0 0 0 0 18 28 32 0.84125353283118
+0 0 0 0 0 18 30 32 0.654860733945283
+0 0 0 0 0 18 32 32 0.415415013001883
+0 0 0 0 0 18 34 32 0.142314838273281
+0 0 0 0 0 18 36 32 -0.142314838273291
+0 0 0 0 0 18 38 32 -0.415415013001892
+0 0 0 0 0 18 40 32 -0.65486073394529
+0 0 0 0 0 18 42 32 -0.841253532831186
+0 0 0 0 0 18 44 32 -0.9594929736145
+0 0 0 0 0 18 46 32 -1
+0 0 0 0 0 18 48 32 -0.9594929736145
+0 0 0 0 0 18 50 32 -0.841253532831185
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 0.161437487892663
+1 0 1 0 0 18 14 32 0.300251365192283
+1 0 1 0 0 18 15 32 0.434981086176293
+1 0 1 0 0 18 16 32 0.55870386751228
+1 0 1 0 0 18 17 32 0.671053049274623
+1 0 1 0 0 18 18 32 0.769741526110928
+1 0 1 0 0 18 19 32 0.852760285226874
+1 0 1 0 0 18 20 32 0.918419304093192
+1 0 1 0 0 18 21 32 0.965381954430738
+1 0 1 0 0 18 22 32 0.992692212107739
+1 0 1 0 0 18 23 32 0.999794119034172
+1 0 1 0 0 18 24 32 0.986543100865224
+1 0 1 0 0 18 25 32 0.953208910118032
+1 0 1 0 0 18 26 32 0.900470134788341
+1 0 1 0 0 18 27 32 0.829400384255796
+1 0 1 0 0 18 28 32 0.741446433693002
+1 0 1 0 0 18 29 32 0.638398771895169
+1 0 1 0 0 18 30 32 0.522355152091583
+1 0 1 0 0 18 31 32 0.395677887739281
+1 0 1 0 0 18 32 32 0.26094576263341
+1 0 1 0 0 18 33 32 0.120901534305763
+1 0 1 0 0 18 34 32 -0.0216039006091158
+1 0 1 0 0 18 35 32 -0.163669542408098
+1 0 1 0 0 18 36 32 -0.302403344307635
+1 0 1 0 0 18 37 32 -0.432860932955646
+1 0 1 0 0 18 38 32 -0.556791436869841
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 0.32287497578533
+2 0 1 0 0 18 14 32 0.454391357194266
+2 0 1 0 0 18 15 32 0.575972500230787
+2 0 1 0 0 18 16 32 0.68694030214482
+2 0 1 0 0 18 17 32 0.783385985700596
+2 0 1 0 0 18 18 32 0.863884189686138
+2 0 1 0 0 18 19 32 0.926796202805953
+2 0 1 0 0 18 20 32 0.970841317896186
+2 0 1 0 0 18 21 32 0.995122903429222
+2 0 1 0 0 18 22 32 0.999146656345919
+2 0 1 0 0 18 23 32 0.982830664640439
+2 0 1 0 0 18 24 32 0.94650707485247
+2 0 1 0 0 18 25 32 0.890915330521513
+2 0 1 0 0 18 26 32 0.817187119248793
+2 0 1 0 0 18 27 32 0.726823334801219
+2 0 1 0 0 18 28 32 0.621663523242508
+2 0 1 0 0 18 29 32 0.503848435080141
+2 0 1 0 0 18 30 32 0.375776445758445
+2 0 1 0 0 18 31 32 0.240054731650892
+2 0 1 0 0 18 32 32 0.0994461954676064
+2 0 1 0 0 18 33 32 -0.0431867784762529
+2 0 1 0 0 18 34 32 -0.18494059415072
+2 0 1 0 0 18 35 32 -0.322929552652912
+2 0 1 0 0 18 36 32 -0.453814558409856
+2 0 1 0 0 18 37 32 -0.576518323741326
+2 0 1 0 0 18 38 32 -0.687085828666847
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 -0.999491083590665
+2 0 0 0 0 18 2 32 -0.946867382673997
+2 0 0 0 0 18 4 32 -0.817534117650241
+2 0 0 0 0 18 6 32 -0.621969100477067
+2 0 0 0 0 18 8 32 -0.376015845775909
+2 0 0 0 0 18 10 32 -0.0996000235023264
+2 0 0 0 0 18 12 32 0.184884800331267
+2 0 0 0 0 18 14 32 0.454391357194266
+2 0 0 0 0 18 16 32 0.68694030214482
+2 0 0 0 0 18 18 32 0.863884189686138
+2 0 0 0 0 18 20 32 0.970841317896186
+2 0 0 0 0 18 22 32 0.999146656345919
+2 0 0 0 0 18 24 32 0.94650707485247
+2 0 0 0 0 18 26 32 0.817187119248793
+2 0 0 0 0 18 28 32 0.621663523242508
+2 0 0 0 0 18 30 32 0.375776445758445
+2 0 0 0 0 18 32 32 0.0994461954676064
+2 0 0 0 0 18 34 32 -0.18494059415072
+2 0 0 0 0 18 36 32 -0.453814558409856
+2 0 0 0 0 18 38 32 -0.687085828666847
+2 0 0 0 0 18 40 32 -0.864116692557593
+2 0 0 0 0 18 42 32 -0.971141961117171
+2 0 0 0 0 18 44 32 -0.999491083590665
+2 0 0 0 0 18 46 32 -0.946867382673997
+2 0 0 0 0 18 48 32 -0.817534117650241
+2 0 0 0 0 18 50 32 -0.621969100477067
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 0.47139778427515
+3 0 1 0 0 18 14 32 0.592233266723946
+3 0 1 0 0 18 15 32 0.701671989144213
+3 0 1 0 0 18 16 32 0.796534913433288
+3 0 1 0 0 18 17 32 0.874613188894939
+3 0 1 0 0 18 18 32 0.934752363312142
+3 0 1 0 0 18 19 32 0.975862675215528
+3 0 1 0 0 18 20 32 0.997107237207095
+3 0 1 0 0 18 21 32 0.998053571268951
+3 0 1 0 0 18 22 32 0.978682412768601
+3 0 1 0 0 18 23 32 0.939388102631301
+3 0 1 0 0 18 24 32 0.880970559696016
+3 0 1 0 0 18 25 32 0.804618996674624
+3 0 1 0 0 18 26 32 0.711887711210516
+3 0 1 0 0 18 27 32 0.604664444860795
+3 0 1 0 0 18 28 32 0.485131954121976
+3 0 1 0 0 18 29 32 0.355723575802263
+3 0 1 0 0 18 30 32 0.219073691301298
+3 0 1 0 0 18 31 32 0.077964098201795
+3 0 1 0 0 18 32 32 -0.0647326191072033
+3 0 1 0 0 18 33 32 -0.206111566964637
+3 0 1 0 0 18 34 32 -0.343294677695347
+3 0 1 0 0 18 35 32 -0.47335678919199
+3 0 1 0 0 18 36 32 -0.593188258020841
+3 0 1 0 0 18 37 32 -0.700418561943761
+3 0 1 0 0 18 38 32 -0.795373064323371
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 0.611292615681153
+4 0 1 0 0 18 14 32 0.717944276299752
+4 0 1 0 0 18 15 32 0.808289214559588
+4 0 1 0 0 18 16 32 0.884514111352328
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+4 0 1 0 0 18 24 32 0.791699219105795
+4 0 1 0 0 18 25 32 0.696644876644557
+4 0 1 0 0 18 26 32 0.587408853452766
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+4 0 1 0 0 18 28 32 0.335530115947958
+4 0 1 0 0 18 29 32 0.198014926372242
+4 0 1 0 0 18 30 32 0.0564687239234807
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+4 0 1 0 0 18 33 32 -0.363483363916648
+4 0 1 0 0 18 34 32 -0.492366699068499
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+4 0 1 0 0 18 36 32 -0.716311225055101
+4 0 1 0 0 18 37 32 -0.809298364848206
+4 0 1 0 0 18 38 32 -0.885294851862594
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 -0.932835443497159
+4 0 0 0 0 18 2 32 -0.792696388078993
+4 0 0 0 0 18 4 32 -0.588337785645617
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+4 0 0 0 0 18 20 32 0.996509414076915
+4 0 0 0 0 18 22 32 0.931850822443423
+4 0 0 0 0 18 24 32 0.791699219105795
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+4 0 0 0 0 18 30 32 0.0564687239234807
+4 0 0 0 0 18 32 32 -0.227167428280845
+4 0 0 0 0 18 34 32 -0.492366699068499
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+4 0 0 0 0 18 40 32 -0.981164439138648
+4 0 0 0 0 18 42 32 -0.997401719069184
+4 0 0 0 0 18 44 32 -0.932835443497159
+4 0 0 0 0 18 46 32 -0.792696388078993
+4 0 0 0 0 18 48 32 -0.588337785645617
+4 0 0 0 0 18 50 32 -0.336315554798765
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 0.731043084767593
+5 0 1 0 0 18 14 32 0.82091165379894
+5 0 1 0 0 18 15 32 0.893606807067543
+5 0 1 0 0 18 16 32 0.948507810833094
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+5 0 1 0 0 18 21 32 0.923892676239143
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+5 0 1 0 0 18 25 32 0.569901974440666
+5 0 1 0 0 18 26 32 0.447104215319606
+5 0 1 0 0 18 27 32 0.315204703716725
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+5 0 1 0 0 18 29 32 0.0349714224922078
+5 0 1 0 0 18 30 32 -0.107657605649747
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+5 0 1 0 0 18 33 32 -0.511054027152745
+5 0 1 0 0 18 34 32 -0.628078005638263
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+5 0 1 0 0 18 36 32 -0.820545810417993
+5 0 1 0 0 18 37 32 -0.892848847209906
+5 0 1 0 0 18 38 32 -0.948843261778467
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 0.834408380148803
+6 0 1 0 0 18 14 32 0.904672976595759
+6 0 1 0 0 18 15 32 0.954867197028683
+6 0 1 0 0 18 16 32 0.98699028930833
+6 0 1 0 0 18 17 32 0.999880741294365
+6 0 1 0 0 18 18 32 0.991989715540582
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+6 0 1 0 0 18 20 32 0.915510286302309
+6 0 1 0 0 18 21 32 0.848799132347847
+6 0 1 0 0 18 22 32 0.764808875793352
+6 0 1 0 0 18 23 32 0.665249316054375
+6 0 1 0 0 18 24 32 0.552147198661139
+6 0 1 0 0 18 25 32 0.427804956564198
+6 0 1 0 0 18 26 32 0.29475383923923
+6 0 1 0 0 18 27 32 0.155702383747231
+6 0 1 0 0 18 28 32 0.0134812767307366
+6 0 1 0 0 18 29 32 -0.129014270203204
+6 0 1 0 0 18 30 32 -0.268883458642241
+6 0 1 0 0 18 31 32 -0.403278955259185
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+6 0 1 0 0 18 36 32 -0.902643748206492
+6 0 1 0 0 18 37 32 -0.955378277407028
+6 0 1 0 0 18 38 32 -0.988687603906339
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 -0.766638747079809
+6 0 0 0 0 18 2 32 -0.553938303270455
+6 0 0 0 0 18 4 32 -0.296361072528066
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+6 0 0 0 0 18 24 32 0.552147198661139
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+6 0 0 0 0 18 48 32 -0.296361072528066
+6 0 0 0 0 18 50 32 -0.0147744302166163
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 0.912520869855676
+7 0 1 0 0 18 14 32 0.961669006118108
+7 0 1 0 0 18 15 32 0.990659200811215
+7 0 1 0 0 18 16 32 0.999091134322068
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+7 0 1 0 0 18 37 32 -0.990162973899945
+7 0 1 0 0 18 38 32 -1.00071276643385
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 0.96822950840477
+8 0 1 0 0 18 14 32 0.994419488556687
+8 0 1 0 0 18 15 32 0.999543718375572
+8 0 1 0 0 18 16 32 0.984561026319082
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+8 0 1 0 0 18 18 32 0.897040789045241
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+8 0 1 0 0 18 20 32 0.736509196730589
+8 0 1 0 0 18 21 32 0.632646944033842
+8 0 1 0 0 18 22 32 0.515901129899581
+8 0 1 0 0 18 23 32 0.388652925150187
+8 0 1 0 0 18 24 32 0.25349286762722
+8 0 1 0 0 18 25 32 0.113172426332427
+8 0 1 0 0 18 26 32 -0.0294518792001667
+8 0 1 0 0 18 27 32 -0.171476629404451
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+8 0 1 0 0 18 29 32 -0.442233668437762
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+8 0 1 0 0 18 33 32 -0.856784954791927
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+8 0 1 0 0 18 36 32 -0.992698737899407
+8 0 1 0 0 18 37 32 -0.999812188695745
+8 0 1 0 0 18 38 32 -0.986290453298441
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 -0.51863552065217
+8 0 0 0 0 18 2 32 -0.256070539225176
+8 0 0 0 0 18 4 32 0.0272397543797119
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+8 0 0 0 0 18 48 32 0.0272397543797119
+8 0 0 0 0 18 50 32 0.30834324508581
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 0.996265171449194
+9 0 1 0 0 18 14 32 0.999376759031606
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+9 0 1 0 0 18 37 32 -0.981657401514088
+9 0 1 0 0 18 38 32 -0.94559332747381
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 0.998373577802423
+10 0 1 0 0 18 14 32 0.977723372502829
+10 0 1 0 0 18 15 32 0.936759585935878
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+10 0 1 0 0 18 31 32 -0.878480809678016
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+10 0 1 0 0 18 33 32 -0.976657298964578
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+10 0 1 0 0 18 37 32 -0.937295954805543
+10 0 1 0 0 18 38 32 -0.87856383463539
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 -0.215287453156249
+10 0 0 0 0 18 2 32 0.0691220141445007
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+10 0 0 0 0 18 32 32 -0.937308477082919
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+10 0 0 0 0 18 40 32 -0.709572359857452
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+10 0 0 0 0 18 48 32 0.347933880063966
+10 0 0 0 0 18 50 32 0.598558212263106
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 0.973453213062825
+11 0 1 0 0 18 14 32 0.930238234125151
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+11 0 1 0 0 18 37 32 -0.86817229102696
+11 0 1 0 0 18 38 32 -0.789560126768848
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 0.921827862886506
+12 0 1 0 0 18 14 32 0.856661708846972
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+12 0 1 0 0 18 37 32 -0.774519074065792
+12 0 1 0 0 18 38 32 -0.67712948654563
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 0.111048514809655
+12 0 0 0 0 18 2 32 0.386939255069172
+12 0 0 0 0 18 4 32 0.631500657946575
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+12 0 0 0 0 18 48 32 0.631500657946575
+12 0 0 0 0 18 50 32 0.824902054360489
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.zl
new file mode 100644
index 000000000..ef6baf7d4
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/phi.zl
@@ -0,0 +1,782 @@
+# WAVETOY::phi z (phi)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 -1
+0 0 1 0 0 18 24 18 -0.978147600733805
+0 0 1 0 0 18 24 19 -0.9135454576426
+0 0 1 0 0 18 24 20 -0.809016994374946
+0 0 1 0 0 18 24 21 -0.669130606358856
+0 0 1 0 0 18 24 22 -0.499999999999998
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+0 0 1 0 0 18 24 24 -0.104528463267652
+0 0 1 0 0 18 24 25 0.104528463267655
+0 0 1 0 0 18 24 26 0.309016994374949
+0 0 1 0 0 18 24 27 0.500000000000001
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+0 0 1 0 0 18 24 29 0.809016994374948
+0 0 1 0 0 18 24 30 0.913545457642601
+0 0 1 0 0 18 24 31 0.978147600733806
+0 0 1 0 0 18 24 32 1
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+0 0 1 0 0 18 24 37 0.500000000000001
+0 0 1 0 0 18 24 38 0.309016994374949
+0 0 1 0 0 18 24 39 0.104528463267655
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+0 0 1 0 0 18 24 42 -0.499999999999998
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+0 0 1 0 0 18 24 47 -1
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+0 0 1 0 0 18 24 49 -0.913545457642603
+0 0 1 0 0 18 24 50 -0.80901699437495
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 0.913545457642598
+0 0 0 0 0 18 24 2 1
+0 0 0 0 0 18 24 4 0.913545457642598
+0 0 0 0 0 18 24 6 0.669130606358854
+0 0 0 0 0 18 24 8 0.309016994374941
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+0 0 0 0 0 18 24 22 -0.499999999999998
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+0 0 0 0 0 18 24 28 0.669130606358859
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+0 0 0 0 0 18 24 32 1
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+0 0 0 0 0 18 24 36 0.669130606358859
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+0 0 0 0 0 18 24 46 -0.978147600733805
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+0 0 0 0 0 18 24 52 -0.500000000000004
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+0 0 0 0 0 18 24 56 0.309016994374942
+0 0 0 0 0 18 24 58 0.669130606358854
+0 0 0 0 0 18 24 60 0.913545457642598
+0 0 0 0 0 18 24 62 1
+0 0 0 0 0 18 24 64 0.913545457642598
+0 0 0 0 0 18 24 66 0.669130606358854
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 -0.986070530748317
+1 0 1 0 0 18 24 18 -0.931638917928196
+1 0 1 0 0 18 24 19 -0.83468156831125
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+1 0 1 0 0 18 24 30 0.967822368816891
+1 0 1 0 0 18 24 31 0.999013578429243
+1 0 1 0 0 18 24 32 0.986543100865224
+1 0 1 0 0 18 24 33 0.930955955834372
+1 0 1 0 0 18 24 34 0.834681568311252
+1 0 1 0 0 18 24 35 0.70192759100639
+1 0 1 0 0 18 24 36 0.538496009752269
+1 0 1 0 0 18 24 37 0.35152956888143
+1 0 1 0 0 18 24 38 0.149199599024451
+1 0 1 0 0 18 24 39 -0.0596511092490055
+1 0 1 0 0 18 24 40 -0.2658947778105
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+1 0 1 0 0 18 24 49 -0.835194239299679
+1 0 1 0 0 18 24 50 -0.703410204762633
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 -0.946194090397304
+2 0 1 0 0 18 24 18 -0.85903617799375
+2 0 1 0 0 18 24 19 -0.7335006971855
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+2 0 1 0 0 18 24 49 -0.733139283369377
+2 0 1 0 0 18 24 50 -0.576221257556121
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 0.996351822641284
+2 0 0 0 0 18 24 2 0.946867382673999
+2 0 0 0 0 18 24 4 0.733660970222251
+2 0 0 0 0 18 24 6 0.393597910918405
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+2 0 0 0 0 18 24 54 0.222181380226806
+2 0 0 0 0 18 24 56 0.599718028239173
+2 0 0 0 0 18 24 58 0.873557980901742
+2 0 0 0 0 18 24 60 0.996351822641284
+2 0 0 0 0 18 24 62 0.946867382673999
+2 0 0 0 0 18 24 64 0.733660970222251
+2 0 0 0 0 18 24 66 0.393597910918405
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 -0.881793482530165
+3 0 1 0 0 18 24 18 -0.765078107428074
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+3 0 1 0 0 18 24 49 -0.613761698286647
+3 0 1 0 0 18 24 50 -0.436744481485664
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 -0.792120642634996
+4 0 1 0 0 18 24 18 -0.648185130731966
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+4 0 1 0 0 18 24 50 -0.281881766974512
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 0.97283942200207
+4 0 0 0 0 18 24 2 0.792696388078995
+4 0 0 0 0 18 24 4 0.47548894723645
+4 0 0 0 0 18 24 6 0.0760651477352512
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+4 0 0 0 0 18 24 64 0.47548894723645
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+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 -0.68335895924221
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+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 -0.553430848115621
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+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 0.845517218278481
+6 0 0 0 0 18 24 2 0.553938303270452
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+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 -0.41190666644139
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+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+8 0 0 0 0 18 24 60 0.627971516258223
+8 0 0 0 0 18 24 62 0.25607053922517
+8 0 0 0 0 18 24 64 -0.160107360367728
+8 0 0 0 0 18 24 66 -0.548601242823342
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 -0.0964015797614693
+9 0 1 0 0 18 24 18 0.113127338489107
+9 0 1 0 0 18 24 19 0.318964752771172
+9 0 1 0 0 18 24 20 0.509569633942417
+9 0 1 0 0 18 24 21 0.678198299049019
+9 0 1 0 0 18 24 22 0.816721211706024
+9 0 1 0 0 18 24 23 0.919124997771262
+9 0 1 0 0 18 24 24 0.981232931232578
+9 0 1 0 0 18 24 25 1.00043496584353
+9 0 1 0 0 18 24 26 0.975910320899619
+9 0 1 0 0 18 24 27 0.908733448766506
+9 0 1 0 0 18 24 28 0.801840551104367
+9 0 1 0 0 18 24 29 0.65990337716352
+9 0 1 0 0 18 24 30 0.489125255109276
+9 0 1 0 0 18 24 31 0.296970016614986
+9 0 1 0 0 18 24 32 0.0918357589423476
+9 0 1 0 0 18 24 33 -0.117312157694183
+9 0 1 0 0 18 24 34 -0.321332974247391
+9 0 1 0 0 18 24 35 -0.511309994190533
+9 0 1 0 0 18 24 36 -0.678940316971329
+9 0 1 0 0 18 24 37 -0.816897687585869
+9 0 1 0 0 18 24 38 -0.91915271091178
+9 0 1 0 0 18 24 39 -0.981236349515098
+9 0 1 0 0 18 24 40 -1.00043525089535
+9 0 1 0 0 18 24 41 -0.975910340183521
+9 0 1 0 0 18 24 42 -0.908733609292956
+9 0 1 0 0 18 24 43 -0.801841530860474
+9 0 1 0 0 18 24 44 -0.659906649424382
+9 0 1 0 0 18 24 45 -0.489174436286697
+9 0 1 0 0 18 24 46 -0.297378716785668
+9 0 1 0 0 18 24 47 -0.0931336833534247
+9 0 1 0 0 18 24 48 0.115288902704917
+9 0 1 0 0 18 24 49 0.317271813312862
+9 0 1 0 0 18 24 50 0.508285204532593
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 0.0695605849303702
+10 0 1 0 0 18 24 18 0.276033184122228
+10 0 1 0 0 18 24 19 0.469198988546368
+10 0 1 0 0 18 24 20 0.64296717183502
+10 0 1 0 0 18 24 21 0.788754938712037
+10 0 1 0 0 18 24 22 0.899946128382115
+10 0 1 0 0 18 24 23 0.971310865201042
+10 0 1 0 0 18 24 24 0.999969235777125
+10 0 1 0 0 18 24 25 0.984864980933064
+10 0 1 0 0 18 24 26 0.926708766913946
+10 0 1 0 0 18 24 27 0.828049967351193
+10 0 1 0 0 18 24 28 0.693201320332574
+10 0 1 0 0 18 24 29 0.528056464546694
+10 0 1 0 0 18 24 30 0.339832987085429
+10 0 1 0 0 18 24 31 0.1367571991744
+10 0 1 0 0 18 24 32 -0.0722955569145528
+10 0 1 0 0 18 24 33 -0.278188628335299
+10 0 1 0 0 18 24 34 -0.471923542339493
+10 0 1 0 0 18 24 35 -0.645033114741476
+10 0 1 0 0 18 24 36 -0.789951660003146
+10 0 1 0 0 18 24 37 -0.900345515666969
+10 0 1 0 0 18 24 38 -0.97138995916672
+10 0 1 0 0 18 24 39 -0.999979997551414
+10 0 1 0 0 18 24 40 -0.984866111545316
+10 0 1 0 0 18 24 41 -0.92670890001685
+10 0 1 0 0 18 24 42 -0.828050322687859
+10 0 1 0 0 18 24 43 -0.69320282368431
+10 0 1 0 0 18 24 44 -0.528074108290029
+10 0 1 0 0 18 24 45 -0.340012656922054
+10 0 1 0 0 18 24 46 -0.137548557480473
+10 0 1 0 0 18 24 47 0.0706246826321574
+10 0 1 0 0 18 24 48 0.275660843762737
+10 0 1 0 0 18 24 49 0.46994061912364
+10 0 1 0 0 18 24 50 0.644079132142258
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 0.343416194797169
+10 0 0 0 0 18 24 2 -0.0691220141445078
+10 0 0 0 0 18 24 4 -0.469708398886811
+10 0 0 0 0 18 24 6 -0.789077934294743
+10 0 0 0 0 18 24 8 -0.972008726315128
+10 0 0 0 0 18 24 10 -0.986870379133566
+10 0 0 0 0 18 24 12 -0.831092028833862
+10 0 0 0 0 18 24 14 -0.531582462031971
+10 0 0 0 0 18 24 16 -0.139960700577007
+10 0 0 0 0 18 24 18 0.276033184122228
+10 0 0 0 0 18 24 20 0.64296717183502
+10 0 0 0 0 18 24 22 0.899946128382115
+10 0 0 0 0 18 24 24 0.999969235777125
+10 0 0 0 0 18 24 26 0.926708766913946
+10 0 0 0 0 18 24 28 0.693201320332574
+10 0 0 0 0 18 24 30 0.339832987085429
+10 0 0 0 0 18 24 32 -0.0722955569145528
+10 0 0 0 0 18 24 34 -0.471923542339493
+10 0 0 0 0 18 24 36 -0.789951660003146
+10 0 0 0 0 18 24 38 -0.97138995916672
+10 0 0 0 0 18 24 40 -0.984866111545316
+10 0 0 0 0 18 24 42 -0.828050322687859
+10 0 0 0 0 18 24 44 -0.528074108290029
+10 0 0 0 0 18 24 46 -0.137548557480473
+10 0 0 0 0 18 24 48 0.275660843762737
+10 0 0 0 0 18 24 50 0.644079132142258
+10 0 0 0 0 18 24 52 0.900455570519032
+10 0 0 0 0 18 24 54 1.00134742205495
+10 0 0 0 0 18 24 56 0.929289851949885
+10 0 0 0 0 18 24 58 0.696574623820229
+10 0 0 0 0 18 24 60 0.343416194797169
+10 0 0 0 0 18 24 62 -0.0691220141445078
+10 0 0 0 0 18 24 64 -0.469708398886811
+10 0 0 0 0 18 24 66 -0.789077934294743
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 0.229292857006858
+11 0 1 0 0 18 24 18 0.427139480786445
+11 0 1 0 0 18 24 19 0.607013815332175
+11 0 1 0 0 18 24 20 0.759074347630323
+11 0 1 0 0 18 24 21 0.878076158360068
+11 0 1 0 0 18 24 22 0.958806511323501
+11 0 1 0 0 18 24 23 0.997258981305582
+11 0 1 0 0 18 24 24 0.991749336879964
+11 0 1 0 0 18 24 25 0.942759406251507
+11 0 1 0 0 18 24 26 0.852540269743066
+11 0 1 0 0 18 24 27 0.725057745964919
+11 0 1 0 0 18 24 28 0.565886376640634
+11 0 1 0 0 18 24 29 0.381983062396543
+11 0 1 0 0 18 24 30 0.18138522595255
+11 0 1 0 0 18 24 31 -0.0271399854362361
+11 0 1 0 0 18 24 32 -0.234479078787099
+11 0 1 0 0 18 24 33 -0.431570283228063
+11 0 1 0 0 18 24 34 -0.609799820628902
+11 0 1 0 0 18 24 35 -0.76137815835682
+11 0 1 0 0 18 24 36 -0.879680633626513
+11 0 1 0 0 18 24 37 -0.95953683300226
+11 0 1 0 0 18 24 38 -0.997456673422431
+11 0 1 0 0 18 24 39 -0.991782872592065
+11 0 1 0 0 18 24 40 -0.942763405996892
+11 0 1 0 0 18 24 41 -0.852540768031105
+11 0 1 0 0 18 24 42 -0.725058420055938
+11 0 1 0 0 18 24 43 -0.565892995184275
+11 0 1 0 0 18 24 44 -0.382056181640757
+11 0 1 0 0 18 24 45 -0.181800107693987
+11 0 1 0 0 18 24 46 0.0259528841467034
+11 0 1 0 0 18 24 47 0.232464992662857
+11 0 1 0 0 18 24 48 0.428861313773407
+11 0 1 0 0 18 24 49 0.605638515934747
+11 0 1 0 0 18 24 50 0.758887469216906
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 0.387104045139003
+12 0 1 0 0 18 24 18 0.570798934699788
+12 0 1 0 0 18 24 19 0.728107472861867
+12 0 1 0 0 18 24 20 0.854696613955102
+12 0 1 0 0 18 24 21 0.943778230057496
+12 0 1 0 0 18 24 22 0.991768165514118
+12 0 1 0 0 18 24 23 0.996247333965506
+12 0 1 0 0 18 24 24 0.956775159294963
+12 0 1 0 0 18 24 25 0.87524878769269
+12 0 1 0 0 18 24 26 0.755403357866615
+12 0 1 0 0 18 24 27 0.602532298283358
+12 0 1 0 0 18 24 28 0.423326498329344
+12 0 1 0 0 18 24 29 0.225619165604391
+12 0 1 0 0 18 24 30 0.0180512277403781
+12 0 1 0 0 18 24 31 -0.190305683852488
+12 0 1 0 0 18 24 32 -0.390345270346837
+12 0 1 0 0 18 24 33 -0.573324951861241
+12 0 1 0 0 18 24 34 -0.731247525015631
+12 0 1 0 0 18 24 35 -0.857211127199511
+12 0 1 0 0 18 24 36 -0.94571043943401
+12 0 1 0 0 18 24 37 -0.992877711126374
+12 0 1 0 0 18 24 38 -0.996651427486856
+12 0 1 0 0 18 24 39 -0.956866722481824
+12 0 1 0 0 18 24 40 -0.875262371052568
+12 0 1 0 0 18 24 41 -0.755405054604507
+12 0 1 0 0 18 24 42 -0.602534985630676
+12 0 1 0 0 18 24 43 -0.42335515241176
+12 0 1 0 0 18 24 44 -0.225814189320689
+12 0 1 0 0 18 24 45 -0.0187791733862511
+12 0 1 0 0 18 24 46 0.188736017625496
+12 0 1 0 0 18 24 47 0.3879912225064
+12 0 1 0 0 18 24 48 0.570230595247013
+12 0 1 0 0 18 24 49 0.729156375605228
+12 0 1 0 0 18 24 50 0.856471563048408
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 0.0222155989448779
+12 0 0 0 0 18 24 2 -0.386938691789114
+12 0 0 0 0 18 24 4 -0.729187767485107
+12 0 0 0 0 18 24 6 -0.945353653720023
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+12 0 0 0 0 18 24 10 -0.878191148002866
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+12 0 0 0 0 18 24 16 0.186859080921597
+12 0 0 0 0 18 24 18 0.570798934699788
+12 0 0 0 0 18 24 20 0.854696613955102
+12 0 0 0 0 18 24 22 0.991768165514118
+12 0 0 0 0 18 24 24 0.956775159294963
+12 0 0 0 0 18 24 26 0.755403357866615
+12 0 0 0 0 18 24 28 0.423326498329344
+12 0 0 0 0 18 24 30 0.0180512277403781
+12 0 0 0 0 18 24 32 -0.390345270346837
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+12 0 0 0 0 18 24 44 -0.225814189320689
+12 0 0 0 0 18 24 46 0.188736017625496
+12 0 0 0 0 18 24 48 0.570230595247013
+12 0 0 0 0 18 24 50 0.856471563048408
+12 0 0 0 0 18 24 52 0.993836968487968
+12 0 0 0 0 18 24 54 0.959178666093902
+12 0 0 0 0 18 24 56 0.758925957415777
+12 0 0 0 0 18 24 58 0.427528830735651
+12 0 0 0 0 18 24 60 0.0222155989448779
+12 0 0 0 0 18 24 62 -0.386938691789114
+12 0 0 0 0 18 24 64 -0.729187767485107
+12 0 0 0 0 18 24 66 -0.945353653720023
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.xl
new file mode 100644
index 000000000..c73d4d829
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.xl
@@ -0,0 +1,482 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 9 24 32 2.7
+0 0 1 0 0 10 24 32 2.4
+0 0 1 0 0 11 24 32 2.1
+0 0 1 0 0 12 24 32 1.8
+0 0 1 0 0 13 24 32 1.5
+0 0 1 0 0 14 24 32 1.2
+0 0 1 0 0 15 24 32 0.9
+0 0 1 0 0 16 24 32 0.6
+0 0 1 0 0 17 24 32 0.3
+0 0 1 0 0 18 24 32 6.2803698347351e-16
+0 0 1 0 0 19 24 32 0.3
+0 0 1 0 0 20 24 32 0.600000000000001
+0 0 1 0 0 21 24 32 0.900000000000001
+0 0 1 0 0 22 24 32 1.2
+0 0 1 0 0 23 24 32 1.5
+0 0 1 0 0 24 24 32 1.8
+0 0 1 0 0 25 24 32 2.1
+0 0 1 0 0 26 24 32 2.4
+0 0 1 0 0 27 24 32 2.7
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 24 32 5.4
+0 0 0 0 0 2 24 32 4.8
+0 0 0 0 0 4 24 32 4.2
+0 0 0 0 0 6 24 32 3.6
+0 0 0 0 0 8 24 32 3
+0 0 0 0 0 10 24 32 2.4
+0 0 0 0 0 12 24 32 1.8
+0 0 0 0 0 14 24 32 1.2
+0 0 0 0 0 16 24 32 0.6
+0 0 0 0 0 18 24 32 6.2803698347351e-16
+0 0 0 0 0 20 24 32 0.600000000000001
+0 0 0 0 0 22 24 32 1.2
+0 0 0 0 0 24 24 32 1.8
+0 0 0 0 0 26 24 32 2.4
+0 0 0 0 0 28 24 32 3
+0 0 0 0 0 30 24 32 3.6
+0 0 0 0 0 32 24 32 4.2
+0 0 0 0 0 34 24 32 4.8
+0 0 0 0 0 36 24 32 5.4
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 9 24 32 2.7
+1 0 1 0 0 10 24 32 2.4
+1 0 1 0 0 11 24 32 2.1
+1 0 1 0 0 12 24 32 1.8
+1 0 1 0 0 13 24 32 1.5
+1 0 1 0 0 14 24 32 1.2
+1 0 1 0 0 15 24 32 0.9
+1 0 1 0 0 16 24 32 0.6
+1 0 1 0 0 17 24 32 0.3
+1 0 1 0 0 18 24 32 6.2803698347351e-16
+1 0 1 0 0 19 24 32 0.3
+1 0 1 0 0 20 24 32 0.600000000000001
+1 0 1 0 0 21 24 32 0.900000000000001
+1 0 1 0 0 22 24 32 1.2
+1 0 1 0 0 23 24 32 1.5
+1 0 1 0 0 24 24 32 1.8
+1 0 1 0 0 25 24 32 2.1
+1 0 1 0 0 26 24 32 2.4
+1 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 9 24 32 2.7
+2 0 1 0 0 10 24 32 2.4
+2 0 1 0 0 11 24 32 2.1
+2 0 1 0 0 12 24 32 1.8
+2 0 1 0 0 13 24 32 1.5
+2 0 1 0 0 14 24 32 1.2
+2 0 1 0 0 15 24 32 0.9
+2 0 1 0 0 16 24 32 0.6
+2 0 1 0 0 17 24 32 0.3
+2 0 1 0 0 18 24 32 6.2803698347351e-16
+2 0 1 0 0 19 24 32 0.3
+2 0 1 0 0 20 24 32 0.600000000000001
+2 0 1 0 0 21 24 32 0.900000000000001
+2 0 1 0 0 22 24 32 1.2
+2 0 1 0 0 23 24 32 1.5
+2 0 1 0 0 24 24 32 1.8
+2 0 1 0 0 25 24 32 2.1
+2 0 1 0 0 26 24 32 2.4
+2 0 1 0 0 27 24 32 2.7
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 24 32 5.4
+2 0 0 0 0 2 24 32 4.8
+2 0 0 0 0 4 24 32 4.2
+2 0 0 0 0 6 24 32 3.6
+2 0 0 0 0 8 24 32 3
+2 0 0 0 0 10 24 32 2.4
+2 0 0 0 0 12 24 32 1.8
+2 0 0 0 0 14 24 32 1.2
+2 0 0 0 0 16 24 32 0.6
+2 0 0 0 0 18 24 32 6.2803698347351e-16
+2 0 0 0 0 20 24 32 0.600000000000001
+2 0 0 0 0 22 24 32 1.2
+2 0 0 0 0 24 24 32 1.8
+2 0 0 0 0 26 24 32 2.4
+2 0 0 0 0 28 24 32 3
+2 0 0 0 0 30 24 32 3.6
+2 0 0 0 0 32 24 32 4.2
+2 0 0 0 0 34 24 32 4.8
+2 0 0 0 0 36 24 32 5.4
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 9 24 32 2.7
+3 0 1 0 0 10 24 32 2.4
+3 0 1 0 0 11 24 32 2.1
+3 0 1 0 0 12 24 32 1.8
+3 0 1 0 0 13 24 32 1.5
+3 0 1 0 0 14 24 32 1.2
+3 0 1 0 0 15 24 32 0.9
+3 0 1 0 0 16 24 32 0.6
+3 0 1 0 0 17 24 32 0.3
+3 0 1 0 0 18 24 32 6.2803698347351e-16
+3 0 1 0 0 19 24 32 0.3
+3 0 1 0 0 20 24 32 0.600000000000001
+3 0 1 0 0 21 24 32 0.900000000000001
+3 0 1 0 0 22 24 32 1.2
+3 0 1 0 0 23 24 32 1.5
+3 0 1 0 0 24 24 32 1.8
+3 0 1 0 0 25 24 32 2.1
+3 0 1 0 0 26 24 32 2.4
+3 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 9 24 32 2.7
+4 0 1 0 0 10 24 32 2.4
+4 0 1 0 0 11 24 32 2.1
+4 0 1 0 0 12 24 32 1.8
+4 0 1 0 0 13 24 32 1.5
+4 0 1 0 0 14 24 32 1.2
+4 0 1 0 0 15 24 32 0.9
+4 0 1 0 0 16 24 32 0.6
+4 0 1 0 0 17 24 32 0.3
+4 0 1 0 0 18 24 32 6.2803698347351e-16
+4 0 1 0 0 19 24 32 0.3
+4 0 1 0 0 20 24 32 0.600000000000001
+4 0 1 0 0 21 24 32 0.900000000000001
+4 0 1 0 0 22 24 32 1.2
+4 0 1 0 0 23 24 32 1.5
+4 0 1 0 0 24 24 32 1.8
+4 0 1 0 0 25 24 32 2.1
+4 0 1 0 0 26 24 32 2.4
+4 0 1 0 0 27 24 32 2.7
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 24 32 5.4
+4 0 0 0 0 2 24 32 4.8
+4 0 0 0 0 4 24 32 4.2
+4 0 0 0 0 6 24 32 3.6
+4 0 0 0 0 8 24 32 3
+4 0 0 0 0 10 24 32 2.4
+4 0 0 0 0 12 24 32 1.8
+4 0 0 0 0 14 24 32 1.2
+4 0 0 0 0 16 24 32 0.6
+4 0 0 0 0 18 24 32 6.2803698347351e-16
+4 0 0 0 0 20 24 32 0.600000000000001
+4 0 0 0 0 22 24 32 1.2
+4 0 0 0 0 24 24 32 1.8
+4 0 0 0 0 26 24 32 2.4
+4 0 0 0 0 28 24 32 3
+4 0 0 0 0 30 24 32 3.6
+4 0 0 0 0 32 24 32 4.2
+4 0 0 0 0 34 24 32 4.8
+4 0 0 0 0 36 24 32 5.4
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 9 24 32 2.7
+5 0 1 0 0 10 24 32 2.4
+5 0 1 0 0 11 24 32 2.1
+5 0 1 0 0 12 24 32 1.8
+5 0 1 0 0 13 24 32 1.5
+5 0 1 0 0 14 24 32 1.2
+5 0 1 0 0 15 24 32 0.9
+5 0 1 0 0 16 24 32 0.6
+5 0 1 0 0 17 24 32 0.3
+5 0 1 0 0 18 24 32 6.2803698347351e-16
+5 0 1 0 0 19 24 32 0.3
+5 0 1 0 0 20 24 32 0.600000000000001
+5 0 1 0 0 21 24 32 0.900000000000001
+5 0 1 0 0 22 24 32 1.2
+5 0 1 0 0 23 24 32 1.5
+5 0 1 0 0 24 24 32 1.8
+5 0 1 0 0 25 24 32 2.1
+5 0 1 0 0 26 24 32 2.4
+5 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 9 24 32 2.7
+6 0 1 0 0 10 24 32 2.4
+6 0 1 0 0 11 24 32 2.1
+6 0 1 0 0 12 24 32 1.8
+6 0 1 0 0 13 24 32 1.5
+6 0 1 0 0 14 24 32 1.2
+6 0 1 0 0 15 24 32 0.9
+6 0 1 0 0 16 24 32 0.6
+6 0 1 0 0 17 24 32 0.3
+6 0 1 0 0 18 24 32 6.2803698347351e-16
+6 0 1 0 0 19 24 32 0.3
+6 0 1 0 0 20 24 32 0.600000000000001
+6 0 1 0 0 21 24 32 0.900000000000001
+6 0 1 0 0 22 24 32 1.2
+6 0 1 0 0 23 24 32 1.5
+6 0 1 0 0 24 24 32 1.8
+6 0 1 0 0 25 24 32 2.1
+6 0 1 0 0 26 24 32 2.4
+6 0 1 0 0 27 24 32 2.7
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 0 24 32 5.4
+6 0 0 0 0 2 24 32 4.8
+6 0 0 0 0 4 24 32 4.2
+6 0 0 0 0 6 24 32 3.6
+6 0 0 0 0 8 24 32 3
+6 0 0 0 0 10 24 32 2.4
+6 0 0 0 0 12 24 32 1.8
+6 0 0 0 0 14 24 32 1.2
+6 0 0 0 0 16 24 32 0.6
+6 0 0 0 0 18 24 32 6.2803698347351e-16
+6 0 0 0 0 20 24 32 0.600000000000001
+6 0 0 0 0 22 24 32 1.2
+6 0 0 0 0 24 24 32 1.8
+6 0 0 0 0 26 24 32 2.4
+6 0 0 0 0 28 24 32 3
+6 0 0 0 0 30 24 32 3.6
+6 0 0 0 0 32 24 32 4.2
+6 0 0 0 0 34 24 32 4.8
+6 0 0 0 0 36 24 32 5.4
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 9 24 32 2.7
+7 0 1 0 0 10 24 32 2.4
+7 0 1 0 0 11 24 32 2.1
+7 0 1 0 0 12 24 32 1.8
+7 0 1 0 0 13 24 32 1.5
+7 0 1 0 0 14 24 32 1.2
+7 0 1 0 0 15 24 32 0.9
+7 0 1 0 0 16 24 32 0.6
+7 0 1 0 0 17 24 32 0.3
+7 0 1 0 0 18 24 32 6.2803698347351e-16
+7 0 1 0 0 19 24 32 0.3
+7 0 1 0 0 20 24 32 0.600000000000001
+7 0 1 0 0 21 24 32 0.900000000000001
+7 0 1 0 0 22 24 32 1.2
+7 0 1 0 0 23 24 32 1.5
+7 0 1 0 0 24 24 32 1.8
+7 0 1 0 0 25 24 32 2.1
+7 0 1 0 0 26 24 32 2.4
+7 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 9 24 32 2.7
+8 0 1 0 0 10 24 32 2.4
+8 0 1 0 0 11 24 32 2.1
+8 0 1 0 0 12 24 32 1.8
+8 0 1 0 0 13 24 32 1.5
+8 0 1 0 0 14 24 32 1.2
+8 0 1 0 0 15 24 32 0.9
+8 0 1 0 0 16 24 32 0.6
+8 0 1 0 0 17 24 32 0.3
+8 0 1 0 0 18 24 32 6.2803698347351e-16
+8 0 1 0 0 19 24 32 0.3
+8 0 1 0 0 20 24 32 0.600000000000001
+8 0 1 0 0 21 24 32 0.900000000000001
+8 0 1 0 0 22 24 32 1.2
+8 0 1 0 0 23 24 32 1.5
+8 0 1 0 0 24 24 32 1.8
+8 0 1 0 0 25 24 32 2.1
+8 0 1 0 0 26 24 32 2.4
+8 0 1 0 0 27 24 32 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 24 32 5.4
+8 0 0 0 0 2 24 32 4.8
+8 0 0 0 0 4 24 32 4.2
+8 0 0 0 0 6 24 32 3.6
+8 0 0 0 0 8 24 32 3
+8 0 0 0 0 10 24 32 2.4
+8 0 0 0 0 12 24 32 1.8
+8 0 0 0 0 14 24 32 1.2
+8 0 0 0 0 16 24 32 0.6
+8 0 0 0 0 18 24 32 6.2803698347351e-16
+8 0 0 0 0 20 24 32 0.600000000000001
+8 0 0 0 0 22 24 32 1.2
+8 0 0 0 0 24 24 32 1.8
+8 0 0 0 0 26 24 32 2.4
+8 0 0 0 0 28 24 32 3
+8 0 0 0 0 30 24 32 3.6
+8 0 0 0 0 32 24 32 4.2
+8 0 0 0 0 34 24 32 4.8
+8 0 0 0 0 36 24 32 5.4
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 9 24 32 2.7
+9 0 1 0 0 10 24 32 2.4
+9 0 1 0 0 11 24 32 2.1
+9 0 1 0 0 12 24 32 1.8
+9 0 1 0 0 13 24 32 1.5
+9 0 1 0 0 14 24 32 1.2
+9 0 1 0 0 15 24 32 0.9
+9 0 1 0 0 16 24 32 0.6
+9 0 1 0 0 17 24 32 0.3
+9 0 1 0 0 18 24 32 6.2803698347351e-16
+9 0 1 0 0 19 24 32 0.3
+9 0 1 0 0 20 24 32 0.600000000000001
+9 0 1 0 0 21 24 32 0.900000000000001
+9 0 1 0 0 22 24 32 1.2
+9 0 1 0 0 23 24 32 1.5
+9 0 1 0 0 24 24 32 1.8
+9 0 1 0 0 25 24 32 2.1
+9 0 1 0 0 26 24 32 2.4
+9 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 9 24 32 2.7
+10 0 1 0 0 10 24 32 2.4
+10 0 1 0 0 11 24 32 2.1
+10 0 1 0 0 12 24 32 1.8
+10 0 1 0 0 13 24 32 1.5
+10 0 1 0 0 14 24 32 1.2
+10 0 1 0 0 15 24 32 0.9
+10 0 1 0 0 16 24 32 0.6
+10 0 1 0 0 17 24 32 0.3
+10 0 1 0 0 18 24 32 6.2803698347351e-16
+10 0 1 0 0 19 24 32 0.3
+10 0 1 0 0 20 24 32 0.600000000000001
+10 0 1 0 0 21 24 32 0.900000000000001
+10 0 1 0 0 22 24 32 1.2
+10 0 1 0 0 23 24 32 1.5
+10 0 1 0 0 24 24 32 1.8
+10 0 1 0 0 25 24 32 2.1
+10 0 1 0 0 26 24 32 2.4
+10 0 1 0 0 27 24 32 2.7
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 0 24 32 5.4
+10 0 0 0 0 2 24 32 4.8
+10 0 0 0 0 4 24 32 4.2
+10 0 0 0 0 6 24 32 3.6
+10 0 0 0 0 8 24 32 3
+10 0 0 0 0 10 24 32 2.4
+10 0 0 0 0 12 24 32 1.8
+10 0 0 0 0 14 24 32 1.2
+10 0 0 0 0 16 24 32 0.6
+10 0 0 0 0 18 24 32 6.2803698347351e-16
+10 0 0 0 0 20 24 32 0.600000000000001
+10 0 0 0 0 22 24 32 1.2
+10 0 0 0 0 24 24 32 1.8
+10 0 0 0 0 26 24 32 2.4
+10 0 0 0 0 28 24 32 3
+10 0 0 0 0 30 24 32 3.6
+10 0 0 0 0 32 24 32 4.2
+10 0 0 0 0 34 24 32 4.8
+10 0 0 0 0 36 24 32 5.4
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 9 24 32 2.7
+11 0 1 0 0 10 24 32 2.4
+11 0 1 0 0 11 24 32 2.1
+11 0 1 0 0 12 24 32 1.8
+11 0 1 0 0 13 24 32 1.5
+11 0 1 0 0 14 24 32 1.2
+11 0 1 0 0 15 24 32 0.9
+11 0 1 0 0 16 24 32 0.6
+11 0 1 0 0 17 24 32 0.3
+11 0 1 0 0 18 24 32 6.2803698347351e-16
+11 0 1 0 0 19 24 32 0.3
+11 0 1 0 0 20 24 32 0.600000000000001
+11 0 1 0 0 21 24 32 0.900000000000001
+11 0 1 0 0 22 24 32 1.2
+11 0 1 0 0 23 24 32 1.5
+11 0 1 0 0 24 24 32 1.8
+11 0 1 0 0 25 24 32 2.1
+11 0 1 0 0 26 24 32 2.4
+11 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 9 24 32 2.7
+12 0 1 0 0 10 24 32 2.4
+12 0 1 0 0 11 24 32 2.1
+12 0 1 0 0 12 24 32 1.8
+12 0 1 0 0 13 24 32 1.5
+12 0 1 0 0 14 24 32 1.2
+12 0 1 0 0 15 24 32 0.9
+12 0 1 0 0 16 24 32 0.6
+12 0 1 0 0 17 24 32 0.3
+12 0 1 0 0 18 24 32 6.2803698347351e-16
+12 0 1 0 0 19 24 32 0.3
+12 0 1 0 0 20 24 32 0.600000000000001
+12 0 1 0 0 21 24 32 0.900000000000001
+12 0 1 0 0 22 24 32 1.2
+12 0 1 0 0 23 24 32 1.5
+12 0 1 0 0 24 24 32 1.8
+12 0 1 0 0 25 24 32 2.1
+12 0 1 0 0 26 24 32 2.4
+12 0 1 0 0 27 24 32 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 24 32 5.4
+12 0 0 0 0 2 24 32 4.8
+12 0 0 0 0 4 24 32 4.2
+12 0 0 0 0 6 24 32 3.6
+12 0 0 0 0 8 24 32 3
+12 0 0 0 0 10 24 32 2.4
+12 0 0 0 0 12 24 32 1.8
+12 0 0 0 0 14 24 32 1.2
+12 0 0 0 0 16 24 32 0.6
+12 0 0 0 0 18 24 32 6.2803698347351e-16
+12 0 0 0 0 20 24 32 0.600000000000001
+12 0 0 0 0 22 24 32 1.2
+12 0 0 0 0 24 24 32 1.8
+12 0 0 0 0 26 24 32 2.4
+12 0 0 0 0 28 24 32 3
+12 0 0 0 0 30 24 32 3.6
+12 0 0 0 0 32 24 32 4.2
+12 0 0 0 0 34 24 32 4.8
+12 0 0 0 0 36 24 32 5.4
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.yl
new file mode 100644
index 000000000..68dfcb5aa
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.yl
@@ -0,0 +1,622 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 13 32 3.3
+0 0 1 0 0 18 14 32 3
+0 0 1 0 0 18 15 32 2.7
+0 0 1 0 0 18 16 32 2.4
+0 0 1 0 0 18 17 32 2.1
+0 0 1 0 0 18 18 32 1.8
+0 0 1 0 0 18 19 32 1.5
+0 0 1 0 0 18 20 32 1.2
+0 0 1 0 0 18 21 32 0.9
+0 0 1 0 0 18 22 32 0.6
+0 0 1 0 0 18 23 32 0.3
+0 0 1 0 0 18 24 32 6.2803698347351e-16
+0 0 1 0 0 18 25 32 0.3
+0 0 1 0 0 18 26 32 0.6
+0 0 1 0 0 18 27 32 0.899999999999999
+0 0 1 0 0 18 28 32 1.2
+0 0 1 0 0 18 29 32 1.5
+0 0 1 0 0 18 30 32 1.8
+0 0 1 0 0 18 31 32 2.1
+0 0 1 0 0 18 32 32 2.4
+0 0 1 0 0 18 33 32 2.7
+0 0 1 0 0 18 34 32 3
+0 0 1 0 0 18 35 32 3.3
+0 0 1 0 0 18 36 32 3.6
+0 0 1 0 0 18 37 32 3.9
+0 0 1 0 0 18 38 32 4.2
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 0 32 7.2
+0 0 0 0 0 18 2 32 6.6
+0 0 0 0 0 18 4 32 6
+0 0 0 0 0 18 6 32 5.4
+0 0 0 0 0 18 8 32 4.8
+0 0 0 0 0 18 10 32 4.2
+0 0 0 0 0 18 12 32 3.6
+0 0 0 0 0 18 14 32 3
+0 0 0 0 0 18 16 32 2.4
+0 0 0 0 0 18 18 32 1.8
+0 0 0 0 0 18 20 32 1.2
+0 0 0 0 0 18 22 32 0.6
+0 0 0 0 0 18 24 32 6.2803698347351e-16
+0 0 0 0 0 18 26 32 0.6
+0 0 0 0 0 18 28 32 1.2
+0 0 0 0 0 18 30 32 1.8
+0 0 0 0 0 18 32 32 2.4
+0 0 0 0 0 18 34 32 3
+0 0 0 0 0 18 36 32 3.6
+0 0 0 0 0 18 38 32 4.2
+0 0 0 0 0 18 40 32 4.8
+0 0 0 0 0 18 42 32 5.4
+0 0 0 0 0 18 44 32 6
+0 0 0 0 0 18 46 32 6.6
+0 0 0 0 0 18 48 32 7.2
+0 0 0 0 0 18 50 32 7.8
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 13 32 3.3
+1 0 1 0 0 18 14 32 3
+1 0 1 0 0 18 15 32 2.7
+1 0 1 0 0 18 16 32 2.4
+1 0 1 0 0 18 17 32 2.1
+1 0 1 0 0 18 18 32 1.8
+1 0 1 0 0 18 19 32 1.5
+1 0 1 0 0 18 20 32 1.2
+1 0 1 0 0 18 21 32 0.9
+1 0 1 0 0 18 22 32 0.6
+1 0 1 0 0 18 23 32 0.3
+1 0 1 0 0 18 24 32 6.2803698347351e-16
+1 0 1 0 0 18 25 32 0.3
+1 0 1 0 0 18 26 32 0.6
+1 0 1 0 0 18 27 32 0.899999999999999
+1 0 1 0 0 18 28 32 1.2
+1 0 1 0 0 18 29 32 1.5
+1 0 1 0 0 18 30 32 1.8
+1 0 1 0 0 18 31 32 2.1
+1 0 1 0 0 18 32 32 2.4
+1 0 1 0 0 18 33 32 2.7
+1 0 1 0 0 18 34 32 3
+1 0 1 0 0 18 35 32 3.3
+1 0 1 0 0 18 36 32 3.6
+1 0 1 0 0 18 37 32 3.9
+1 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 13 32 3.3
+2 0 1 0 0 18 14 32 3
+2 0 1 0 0 18 15 32 2.7
+2 0 1 0 0 18 16 32 2.4
+2 0 1 0 0 18 17 32 2.1
+2 0 1 0 0 18 18 32 1.8
+2 0 1 0 0 18 19 32 1.5
+2 0 1 0 0 18 20 32 1.2
+2 0 1 0 0 18 21 32 0.9
+2 0 1 0 0 18 22 32 0.6
+2 0 1 0 0 18 23 32 0.3
+2 0 1 0 0 18 24 32 6.2803698347351e-16
+2 0 1 0 0 18 25 32 0.3
+2 0 1 0 0 18 26 32 0.6
+2 0 1 0 0 18 27 32 0.899999999999999
+2 0 1 0 0 18 28 32 1.2
+2 0 1 0 0 18 29 32 1.5
+2 0 1 0 0 18 30 32 1.8
+2 0 1 0 0 18 31 32 2.1
+2 0 1 0 0 18 32 32 2.4
+2 0 1 0 0 18 33 32 2.7
+2 0 1 0 0 18 34 32 3
+2 0 1 0 0 18 35 32 3.3
+2 0 1 0 0 18 36 32 3.6
+2 0 1 0 0 18 37 32 3.9
+2 0 1 0 0 18 38 32 4.2
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 0 32 7.2
+2 0 0 0 0 18 2 32 6.6
+2 0 0 0 0 18 4 32 6
+2 0 0 0 0 18 6 32 5.4
+2 0 0 0 0 18 8 32 4.8
+2 0 0 0 0 18 10 32 4.2
+2 0 0 0 0 18 12 32 3.6
+2 0 0 0 0 18 14 32 3
+2 0 0 0 0 18 16 32 2.4
+2 0 0 0 0 18 18 32 1.8
+2 0 0 0 0 18 20 32 1.2
+2 0 0 0 0 18 22 32 0.6
+2 0 0 0 0 18 24 32 6.2803698347351e-16
+2 0 0 0 0 18 26 32 0.6
+2 0 0 0 0 18 28 32 1.2
+2 0 0 0 0 18 30 32 1.8
+2 0 0 0 0 18 32 32 2.4
+2 0 0 0 0 18 34 32 3
+2 0 0 0 0 18 36 32 3.6
+2 0 0 0 0 18 38 32 4.2
+2 0 0 0 0 18 40 32 4.8
+2 0 0 0 0 18 42 32 5.4
+2 0 0 0 0 18 44 32 6
+2 0 0 0 0 18 46 32 6.6
+2 0 0 0 0 18 48 32 7.2
+2 0 0 0 0 18 50 32 7.8
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 13 32 3.3
+3 0 1 0 0 18 14 32 3
+3 0 1 0 0 18 15 32 2.7
+3 0 1 0 0 18 16 32 2.4
+3 0 1 0 0 18 17 32 2.1
+3 0 1 0 0 18 18 32 1.8
+3 0 1 0 0 18 19 32 1.5
+3 0 1 0 0 18 20 32 1.2
+3 0 1 0 0 18 21 32 0.9
+3 0 1 0 0 18 22 32 0.6
+3 0 1 0 0 18 23 32 0.3
+3 0 1 0 0 18 24 32 6.2803698347351e-16
+3 0 1 0 0 18 25 32 0.3
+3 0 1 0 0 18 26 32 0.6
+3 0 1 0 0 18 27 32 0.899999999999999
+3 0 1 0 0 18 28 32 1.2
+3 0 1 0 0 18 29 32 1.5
+3 0 1 0 0 18 30 32 1.8
+3 0 1 0 0 18 31 32 2.1
+3 0 1 0 0 18 32 32 2.4
+3 0 1 0 0 18 33 32 2.7
+3 0 1 0 0 18 34 32 3
+3 0 1 0 0 18 35 32 3.3
+3 0 1 0 0 18 36 32 3.6
+3 0 1 0 0 18 37 32 3.9
+3 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 13 32 3.3
+4 0 1 0 0 18 14 32 3
+4 0 1 0 0 18 15 32 2.7
+4 0 1 0 0 18 16 32 2.4
+4 0 1 0 0 18 17 32 2.1
+4 0 1 0 0 18 18 32 1.8
+4 0 1 0 0 18 19 32 1.5
+4 0 1 0 0 18 20 32 1.2
+4 0 1 0 0 18 21 32 0.9
+4 0 1 0 0 18 22 32 0.6
+4 0 1 0 0 18 23 32 0.3
+4 0 1 0 0 18 24 32 6.2803698347351e-16
+4 0 1 0 0 18 25 32 0.3
+4 0 1 0 0 18 26 32 0.6
+4 0 1 0 0 18 27 32 0.899999999999999
+4 0 1 0 0 18 28 32 1.2
+4 0 1 0 0 18 29 32 1.5
+4 0 1 0 0 18 30 32 1.8
+4 0 1 0 0 18 31 32 2.1
+4 0 1 0 0 18 32 32 2.4
+4 0 1 0 0 18 33 32 2.7
+4 0 1 0 0 18 34 32 3
+4 0 1 0 0 18 35 32 3.3
+4 0 1 0 0 18 36 32 3.6
+4 0 1 0 0 18 37 32 3.9
+4 0 1 0 0 18 38 32 4.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 0 32 7.2
+4 0 0 0 0 18 2 32 6.6
+4 0 0 0 0 18 4 32 6
+4 0 0 0 0 18 6 32 5.4
+4 0 0 0 0 18 8 32 4.8
+4 0 0 0 0 18 10 32 4.2
+4 0 0 0 0 18 12 32 3.6
+4 0 0 0 0 18 14 32 3
+4 0 0 0 0 18 16 32 2.4
+4 0 0 0 0 18 18 32 1.8
+4 0 0 0 0 18 20 32 1.2
+4 0 0 0 0 18 22 32 0.6
+4 0 0 0 0 18 24 32 6.2803698347351e-16
+4 0 0 0 0 18 26 32 0.6
+4 0 0 0 0 18 28 32 1.2
+4 0 0 0 0 18 30 32 1.8
+4 0 0 0 0 18 32 32 2.4
+4 0 0 0 0 18 34 32 3
+4 0 0 0 0 18 36 32 3.6
+4 0 0 0 0 18 38 32 4.2
+4 0 0 0 0 18 40 32 4.8
+4 0 0 0 0 18 42 32 5.4
+4 0 0 0 0 18 44 32 6
+4 0 0 0 0 18 46 32 6.6
+4 0 0 0 0 18 48 32 7.2
+4 0 0 0 0 18 50 32 7.8
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 13 32 3.3
+5 0 1 0 0 18 14 32 3
+5 0 1 0 0 18 15 32 2.7
+5 0 1 0 0 18 16 32 2.4
+5 0 1 0 0 18 17 32 2.1
+5 0 1 0 0 18 18 32 1.8
+5 0 1 0 0 18 19 32 1.5
+5 0 1 0 0 18 20 32 1.2
+5 0 1 0 0 18 21 32 0.9
+5 0 1 0 0 18 22 32 0.6
+5 0 1 0 0 18 23 32 0.3
+5 0 1 0 0 18 24 32 6.2803698347351e-16
+5 0 1 0 0 18 25 32 0.3
+5 0 1 0 0 18 26 32 0.6
+5 0 1 0 0 18 27 32 0.899999999999999
+5 0 1 0 0 18 28 32 1.2
+5 0 1 0 0 18 29 32 1.5
+5 0 1 0 0 18 30 32 1.8
+5 0 1 0 0 18 31 32 2.1
+5 0 1 0 0 18 32 32 2.4
+5 0 1 0 0 18 33 32 2.7
+5 0 1 0 0 18 34 32 3
+5 0 1 0 0 18 35 32 3.3
+5 0 1 0 0 18 36 32 3.6
+5 0 1 0 0 18 37 32 3.9
+5 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 13 32 3.3
+6 0 1 0 0 18 14 32 3
+6 0 1 0 0 18 15 32 2.7
+6 0 1 0 0 18 16 32 2.4
+6 0 1 0 0 18 17 32 2.1
+6 0 1 0 0 18 18 32 1.8
+6 0 1 0 0 18 19 32 1.5
+6 0 1 0 0 18 20 32 1.2
+6 0 1 0 0 18 21 32 0.9
+6 0 1 0 0 18 22 32 0.6
+6 0 1 0 0 18 23 32 0.3
+6 0 1 0 0 18 24 32 6.2803698347351e-16
+6 0 1 0 0 18 25 32 0.3
+6 0 1 0 0 18 26 32 0.6
+6 0 1 0 0 18 27 32 0.899999999999999
+6 0 1 0 0 18 28 32 1.2
+6 0 1 0 0 18 29 32 1.5
+6 0 1 0 0 18 30 32 1.8
+6 0 1 0 0 18 31 32 2.1
+6 0 1 0 0 18 32 32 2.4
+6 0 1 0 0 18 33 32 2.7
+6 0 1 0 0 18 34 32 3
+6 0 1 0 0 18 35 32 3.3
+6 0 1 0 0 18 36 32 3.6
+6 0 1 0 0 18 37 32 3.9
+6 0 1 0 0 18 38 32 4.2
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 0 32 7.2
+6 0 0 0 0 18 2 32 6.6
+6 0 0 0 0 18 4 32 6
+6 0 0 0 0 18 6 32 5.4
+6 0 0 0 0 18 8 32 4.8
+6 0 0 0 0 18 10 32 4.2
+6 0 0 0 0 18 12 32 3.6
+6 0 0 0 0 18 14 32 3
+6 0 0 0 0 18 16 32 2.4
+6 0 0 0 0 18 18 32 1.8
+6 0 0 0 0 18 20 32 1.2
+6 0 0 0 0 18 22 32 0.6
+6 0 0 0 0 18 24 32 6.2803698347351e-16
+6 0 0 0 0 18 26 32 0.6
+6 0 0 0 0 18 28 32 1.2
+6 0 0 0 0 18 30 32 1.8
+6 0 0 0 0 18 32 32 2.4
+6 0 0 0 0 18 34 32 3
+6 0 0 0 0 18 36 32 3.6
+6 0 0 0 0 18 38 32 4.2
+6 0 0 0 0 18 40 32 4.8
+6 0 0 0 0 18 42 32 5.4
+6 0 0 0 0 18 44 32 6
+6 0 0 0 0 18 46 32 6.6
+6 0 0 0 0 18 48 32 7.2
+6 0 0 0 0 18 50 32 7.8
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 13 32 3.3
+7 0 1 0 0 18 14 32 3
+7 0 1 0 0 18 15 32 2.7
+7 0 1 0 0 18 16 32 2.4
+7 0 1 0 0 18 17 32 2.1
+7 0 1 0 0 18 18 32 1.8
+7 0 1 0 0 18 19 32 1.5
+7 0 1 0 0 18 20 32 1.2
+7 0 1 0 0 18 21 32 0.9
+7 0 1 0 0 18 22 32 0.6
+7 0 1 0 0 18 23 32 0.3
+7 0 1 0 0 18 24 32 6.2803698347351e-16
+7 0 1 0 0 18 25 32 0.3
+7 0 1 0 0 18 26 32 0.6
+7 0 1 0 0 18 27 32 0.899999999999999
+7 0 1 0 0 18 28 32 1.2
+7 0 1 0 0 18 29 32 1.5
+7 0 1 0 0 18 30 32 1.8
+7 0 1 0 0 18 31 32 2.1
+7 0 1 0 0 18 32 32 2.4
+7 0 1 0 0 18 33 32 2.7
+7 0 1 0 0 18 34 32 3
+7 0 1 0 0 18 35 32 3.3
+7 0 1 0 0 18 36 32 3.6
+7 0 1 0 0 18 37 32 3.9
+7 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 13 32 3.3
+8 0 1 0 0 18 14 32 3
+8 0 1 0 0 18 15 32 2.7
+8 0 1 0 0 18 16 32 2.4
+8 0 1 0 0 18 17 32 2.1
+8 0 1 0 0 18 18 32 1.8
+8 0 1 0 0 18 19 32 1.5
+8 0 1 0 0 18 20 32 1.2
+8 0 1 0 0 18 21 32 0.9
+8 0 1 0 0 18 22 32 0.6
+8 0 1 0 0 18 23 32 0.3
+8 0 1 0 0 18 24 32 6.2803698347351e-16
+8 0 1 0 0 18 25 32 0.3
+8 0 1 0 0 18 26 32 0.6
+8 0 1 0 0 18 27 32 0.899999999999999
+8 0 1 0 0 18 28 32 1.2
+8 0 1 0 0 18 29 32 1.5
+8 0 1 0 0 18 30 32 1.8
+8 0 1 0 0 18 31 32 2.1
+8 0 1 0 0 18 32 32 2.4
+8 0 1 0 0 18 33 32 2.7
+8 0 1 0 0 18 34 32 3
+8 0 1 0 0 18 35 32 3.3
+8 0 1 0 0 18 36 32 3.6
+8 0 1 0 0 18 37 32 3.9
+8 0 1 0 0 18 38 32 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 0 32 7.2
+8 0 0 0 0 18 2 32 6.6
+8 0 0 0 0 18 4 32 6
+8 0 0 0 0 18 6 32 5.4
+8 0 0 0 0 18 8 32 4.8
+8 0 0 0 0 18 10 32 4.2
+8 0 0 0 0 18 12 32 3.6
+8 0 0 0 0 18 14 32 3
+8 0 0 0 0 18 16 32 2.4
+8 0 0 0 0 18 18 32 1.8
+8 0 0 0 0 18 20 32 1.2
+8 0 0 0 0 18 22 32 0.6
+8 0 0 0 0 18 24 32 6.2803698347351e-16
+8 0 0 0 0 18 26 32 0.6
+8 0 0 0 0 18 28 32 1.2
+8 0 0 0 0 18 30 32 1.8
+8 0 0 0 0 18 32 32 2.4
+8 0 0 0 0 18 34 32 3
+8 0 0 0 0 18 36 32 3.6
+8 0 0 0 0 18 38 32 4.2
+8 0 0 0 0 18 40 32 4.8
+8 0 0 0 0 18 42 32 5.4
+8 0 0 0 0 18 44 32 6
+8 0 0 0 0 18 46 32 6.6
+8 0 0 0 0 18 48 32 7.2
+8 0 0 0 0 18 50 32 7.8
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 13 32 3.3
+9 0 1 0 0 18 14 32 3
+9 0 1 0 0 18 15 32 2.7
+9 0 1 0 0 18 16 32 2.4
+9 0 1 0 0 18 17 32 2.1
+9 0 1 0 0 18 18 32 1.8
+9 0 1 0 0 18 19 32 1.5
+9 0 1 0 0 18 20 32 1.2
+9 0 1 0 0 18 21 32 0.9
+9 0 1 0 0 18 22 32 0.6
+9 0 1 0 0 18 23 32 0.3
+9 0 1 0 0 18 24 32 6.2803698347351e-16
+9 0 1 0 0 18 25 32 0.3
+9 0 1 0 0 18 26 32 0.6
+9 0 1 0 0 18 27 32 0.899999999999999
+9 0 1 0 0 18 28 32 1.2
+9 0 1 0 0 18 29 32 1.5
+9 0 1 0 0 18 30 32 1.8
+9 0 1 0 0 18 31 32 2.1
+9 0 1 0 0 18 32 32 2.4
+9 0 1 0 0 18 33 32 2.7
+9 0 1 0 0 18 34 32 3
+9 0 1 0 0 18 35 32 3.3
+9 0 1 0 0 18 36 32 3.6
+9 0 1 0 0 18 37 32 3.9
+9 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 13 32 3.3
+10 0 1 0 0 18 14 32 3
+10 0 1 0 0 18 15 32 2.7
+10 0 1 0 0 18 16 32 2.4
+10 0 1 0 0 18 17 32 2.1
+10 0 1 0 0 18 18 32 1.8
+10 0 1 0 0 18 19 32 1.5
+10 0 1 0 0 18 20 32 1.2
+10 0 1 0 0 18 21 32 0.9
+10 0 1 0 0 18 22 32 0.6
+10 0 1 0 0 18 23 32 0.3
+10 0 1 0 0 18 24 32 6.2803698347351e-16
+10 0 1 0 0 18 25 32 0.3
+10 0 1 0 0 18 26 32 0.6
+10 0 1 0 0 18 27 32 0.899999999999999
+10 0 1 0 0 18 28 32 1.2
+10 0 1 0 0 18 29 32 1.5
+10 0 1 0 0 18 30 32 1.8
+10 0 1 0 0 18 31 32 2.1
+10 0 1 0 0 18 32 32 2.4
+10 0 1 0 0 18 33 32 2.7
+10 0 1 0 0 18 34 32 3
+10 0 1 0 0 18 35 32 3.3
+10 0 1 0 0 18 36 32 3.6
+10 0 1 0 0 18 37 32 3.9
+10 0 1 0 0 18 38 32 4.2
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 0 32 7.2
+10 0 0 0 0 18 2 32 6.6
+10 0 0 0 0 18 4 32 6
+10 0 0 0 0 18 6 32 5.4
+10 0 0 0 0 18 8 32 4.8
+10 0 0 0 0 18 10 32 4.2
+10 0 0 0 0 18 12 32 3.6
+10 0 0 0 0 18 14 32 3
+10 0 0 0 0 18 16 32 2.4
+10 0 0 0 0 18 18 32 1.8
+10 0 0 0 0 18 20 32 1.2
+10 0 0 0 0 18 22 32 0.6
+10 0 0 0 0 18 24 32 6.2803698347351e-16
+10 0 0 0 0 18 26 32 0.6
+10 0 0 0 0 18 28 32 1.2
+10 0 0 0 0 18 30 32 1.8
+10 0 0 0 0 18 32 32 2.4
+10 0 0 0 0 18 34 32 3
+10 0 0 0 0 18 36 32 3.6
+10 0 0 0 0 18 38 32 4.2
+10 0 0 0 0 18 40 32 4.8
+10 0 0 0 0 18 42 32 5.4
+10 0 0 0 0 18 44 32 6
+10 0 0 0 0 18 46 32 6.6
+10 0 0 0 0 18 48 32 7.2
+10 0 0 0 0 18 50 32 7.8
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 13 32 3.3
+11 0 1 0 0 18 14 32 3
+11 0 1 0 0 18 15 32 2.7
+11 0 1 0 0 18 16 32 2.4
+11 0 1 0 0 18 17 32 2.1
+11 0 1 0 0 18 18 32 1.8
+11 0 1 0 0 18 19 32 1.5
+11 0 1 0 0 18 20 32 1.2
+11 0 1 0 0 18 21 32 0.9
+11 0 1 0 0 18 22 32 0.6
+11 0 1 0 0 18 23 32 0.3
+11 0 1 0 0 18 24 32 6.2803698347351e-16
+11 0 1 0 0 18 25 32 0.3
+11 0 1 0 0 18 26 32 0.6
+11 0 1 0 0 18 27 32 0.899999999999999
+11 0 1 0 0 18 28 32 1.2
+11 0 1 0 0 18 29 32 1.5
+11 0 1 0 0 18 30 32 1.8
+11 0 1 0 0 18 31 32 2.1
+11 0 1 0 0 18 32 32 2.4
+11 0 1 0 0 18 33 32 2.7
+11 0 1 0 0 18 34 32 3
+11 0 1 0 0 18 35 32 3.3
+11 0 1 0 0 18 36 32 3.6
+11 0 1 0 0 18 37 32 3.9
+11 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 13 32 3.3
+12 0 1 0 0 18 14 32 3
+12 0 1 0 0 18 15 32 2.7
+12 0 1 0 0 18 16 32 2.4
+12 0 1 0 0 18 17 32 2.1
+12 0 1 0 0 18 18 32 1.8
+12 0 1 0 0 18 19 32 1.5
+12 0 1 0 0 18 20 32 1.2
+12 0 1 0 0 18 21 32 0.9
+12 0 1 0 0 18 22 32 0.6
+12 0 1 0 0 18 23 32 0.3
+12 0 1 0 0 18 24 32 6.2803698347351e-16
+12 0 1 0 0 18 25 32 0.3
+12 0 1 0 0 18 26 32 0.6
+12 0 1 0 0 18 27 32 0.899999999999999
+12 0 1 0 0 18 28 32 1.2
+12 0 1 0 0 18 29 32 1.5
+12 0 1 0 0 18 30 32 1.8
+12 0 1 0 0 18 31 32 2.1
+12 0 1 0 0 18 32 32 2.4
+12 0 1 0 0 18 33 32 2.7
+12 0 1 0 0 18 34 32 3
+12 0 1 0 0 18 35 32 3.3
+12 0 1 0 0 18 36 32 3.6
+12 0 1 0 0 18 37 32 3.9
+12 0 1 0 0 18 38 32 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 0 32 7.2
+12 0 0 0 0 18 2 32 6.6
+12 0 0 0 0 18 4 32 6
+12 0 0 0 0 18 6 32 5.4
+12 0 0 0 0 18 8 32 4.8
+12 0 0 0 0 18 10 32 4.2
+12 0 0 0 0 18 12 32 3.6
+12 0 0 0 0 18 14 32 3
+12 0 0 0 0 18 16 32 2.4
+12 0 0 0 0 18 18 32 1.8
+12 0 0 0 0 18 20 32 1.2
+12 0 0 0 0 18 22 32 0.6
+12 0 0 0 0 18 24 32 6.2803698347351e-16
+12 0 0 0 0 18 26 32 0.6
+12 0 0 0 0 18 28 32 1.2
+12 0 0 0 0 18 30 32 1.8
+12 0 0 0 0 18 32 32 2.4
+12 0 0 0 0 18 34 32 3
+12 0 0 0 0 18 36 32 3.6
+12 0 0 0 0 18 38 32 4.2
+12 0 0 0 0 18 40 32 4.8
+12 0 0 0 0 18 42 32 5.4
+12 0 0 0 0 18 44 32 6
+12 0 0 0 0 18 46 32 6.6
+12 0 0 0 0 18 48 32 7.2
+12 0 0 0 0 18 50 32 7.8
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.zl
new file mode 100644
index 000000000..28167d1c4
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl2/spher3d_r.zl
@@ -0,0 +1,782 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 24 17 4.5
+0 0 1 0 0 18 24 18 4.2
+0 0 1 0 0 18 24 19 3.9
+0 0 1 0 0 18 24 20 3.6
+0 0 1 0 0 18 24 21 3.3
+0 0 1 0 0 18 24 22 3
+0 0 1 0 0 18 24 23 2.7
+0 0 1 0 0 18 24 24 2.4
+0 0 1 0 0 18 24 25 2.1
+0 0 1 0 0 18 24 26 1.8
+0 0 1 0 0 18 24 27 1.5
+0 0 1 0 0 18 24 28 1.2
+0 0 1 0 0 18 24 29 0.9
+0 0 1 0 0 18 24 30 0.6
+0 0 1 0 0 18 24 31 0.3
+0 0 1 0 0 18 24 32 6.2803698347351e-16
+0 0 1 0 0 18 24 33 0.3
+0 0 1 0 0 18 24 34 0.6
+0 0 1 0 0 18 24 35 0.9
+0 0 1 0 0 18 24 36 1.2
+0 0 1 0 0 18 24 37 1.5
+0 0 1 0 0 18 24 38 1.8
+0 0 1 0 0 18 24 39 2.1
+0 0 1 0 0 18 24 40 2.4
+0 0 1 0 0 18 24 41 2.7
+0 0 1 0 0 18 24 42 3
+0 0 1 0 0 18 24 43 3.3
+0 0 1 0 0 18 24 44 3.6
+0 0 1 0 0 18 24 45 3.9
+0 0 1 0 0 18 24 46 4.2
+0 0 1 0 0 18 24 47 4.5
+0 0 1 0 0 18 24 48 4.8
+0 0 1 0 0 18 24 49 5.1
+0 0 1 0 0 18 24 50 5.4
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 18 24 0 9.6
+0 0 0 0 0 18 24 2 9
+0 0 0 0 0 18 24 4 8.4
+0 0 0 0 0 18 24 6 7.8
+0 0 0 0 0 18 24 8 7.2
+0 0 0 0 0 18 24 10 6.6
+0 0 0 0 0 18 24 12 6
+0 0 0 0 0 18 24 14 5.4
+0 0 0 0 0 18 24 16 4.8
+0 0 0 0 0 18 24 18 4.2
+0 0 0 0 0 18 24 20 3.6
+0 0 0 0 0 18 24 22 3
+0 0 0 0 0 18 24 24 2.4
+0 0 0 0 0 18 24 26 1.8
+0 0 0 0 0 18 24 28 1.2
+0 0 0 0 0 18 24 30 0.6
+0 0 0 0 0 18 24 32 6.2803698347351e-16
+0 0 0 0 0 18 24 34 0.6
+0 0 0 0 0 18 24 36 1.2
+0 0 0 0 0 18 24 38 1.8
+0 0 0 0 0 18 24 40 2.4
+0 0 0 0 0 18 24 42 3
+0 0 0 0 0 18 24 44 3.6
+0 0 0 0 0 18 24 46 4.2
+0 0 0 0 0 18 24 48 4.8
+0 0 0 0 0 18 24 50 5.4
+0 0 0 0 0 18 24 52 6
+0 0 0 0 0 18 24 54 6.6
+0 0 0 0 0 18 24 56 7.2
+0 0 0 0 0 18 24 58 7.8
+0 0 0 0 0 18 24 60 8.4
+0 0 0 0 0 18 24 62 9
+0 0 0 0 0 18 24 64 9.6
+0 0 0 0 0 18 24 66 10.2
+
+
+# iteration 1
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 1 0 0 18 24 17 4.5
+1 0 1 0 0 18 24 18 4.2
+1 0 1 0 0 18 24 19 3.9
+1 0 1 0 0 18 24 20 3.6
+1 0 1 0 0 18 24 21 3.3
+1 0 1 0 0 18 24 22 3
+1 0 1 0 0 18 24 23 2.7
+1 0 1 0 0 18 24 24 2.4
+1 0 1 0 0 18 24 25 2.1
+1 0 1 0 0 18 24 26 1.8
+1 0 1 0 0 18 24 27 1.5
+1 0 1 0 0 18 24 28 1.2
+1 0 1 0 0 18 24 29 0.9
+1 0 1 0 0 18 24 30 0.6
+1 0 1 0 0 18 24 31 0.3
+1 0 1 0 0 18 24 32 6.2803698347351e-16
+1 0 1 0 0 18 24 33 0.3
+1 0 1 0 0 18 24 34 0.6
+1 0 1 0 0 18 24 35 0.9
+1 0 1 0 0 18 24 36 1.2
+1 0 1 0 0 18 24 37 1.5
+1 0 1 0 0 18 24 38 1.8
+1 0 1 0 0 18 24 39 2.1
+1 0 1 0 0 18 24 40 2.4
+1 0 1 0 0 18 24 41 2.7
+1 0 1 0 0 18 24 42 3
+1 0 1 0 0 18 24 43 3.3
+1 0 1 0 0 18 24 44 3.6
+1 0 1 0 0 18 24 45 3.9
+1 0 1 0 0 18 24 46 4.2
+1 0 1 0 0 18 24 47 4.5
+1 0 1 0 0 18 24 48 4.8
+1 0 1 0 0 18 24 49 5.1
+1 0 1 0 0 18 24 50 5.4
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 24 17 4.5
+2 0 1 0 0 18 24 18 4.2
+2 0 1 0 0 18 24 19 3.9
+2 0 1 0 0 18 24 20 3.6
+2 0 1 0 0 18 24 21 3.3
+2 0 1 0 0 18 24 22 3
+2 0 1 0 0 18 24 23 2.7
+2 0 1 0 0 18 24 24 2.4
+2 0 1 0 0 18 24 25 2.1
+2 0 1 0 0 18 24 26 1.8
+2 0 1 0 0 18 24 27 1.5
+2 0 1 0 0 18 24 28 1.2
+2 0 1 0 0 18 24 29 0.9
+2 0 1 0 0 18 24 30 0.6
+2 0 1 0 0 18 24 31 0.3
+2 0 1 0 0 18 24 32 6.2803698347351e-16
+2 0 1 0 0 18 24 33 0.3
+2 0 1 0 0 18 24 34 0.6
+2 0 1 0 0 18 24 35 0.9
+2 0 1 0 0 18 24 36 1.2
+2 0 1 0 0 18 24 37 1.5
+2 0 1 0 0 18 24 38 1.8
+2 0 1 0 0 18 24 39 2.1
+2 0 1 0 0 18 24 40 2.4
+2 0 1 0 0 18 24 41 2.7
+2 0 1 0 0 18 24 42 3
+2 0 1 0 0 18 24 43 3.3
+2 0 1 0 0 18 24 44 3.6
+2 0 1 0 0 18 24 45 3.9
+2 0 1 0 0 18 24 46 4.2
+2 0 1 0 0 18 24 47 4.5
+2 0 1 0 0 18 24 48 4.8
+2 0 1 0 0 18 24 49 5.1
+2 0 1 0 0 18 24 50 5.4
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 18 24 0 9.6
+2 0 0 0 0 18 24 2 9
+2 0 0 0 0 18 24 4 8.4
+2 0 0 0 0 18 24 6 7.8
+2 0 0 0 0 18 24 8 7.2
+2 0 0 0 0 18 24 10 6.6
+2 0 0 0 0 18 24 12 6
+2 0 0 0 0 18 24 14 5.4
+2 0 0 0 0 18 24 16 4.8
+2 0 0 0 0 18 24 18 4.2
+2 0 0 0 0 18 24 20 3.6
+2 0 0 0 0 18 24 22 3
+2 0 0 0 0 18 24 24 2.4
+2 0 0 0 0 18 24 26 1.8
+2 0 0 0 0 18 24 28 1.2
+2 0 0 0 0 18 24 30 0.6
+2 0 0 0 0 18 24 32 6.2803698347351e-16
+2 0 0 0 0 18 24 34 0.6
+2 0 0 0 0 18 24 36 1.2
+2 0 0 0 0 18 24 38 1.8
+2 0 0 0 0 18 24 40 2.4
+2 0 0 0 0 18 24 42 3
+2 0 0 0 0 18 24 44 3.6
+2 0 0 0 0 18 24 46 4.2
+2 0 0 0 0 18 24 48 4.8
+2 0 0 0 0 18 24 50 5.4
+2 0 0 0 0 18 24 52 6
+2 0 0 0 0 18 24 54 6.6
+2 0 0 0 0 18 24 56 7.2
+2 0 0 0 0 18 24 58 7.8
+2 0 0 0 0 18 24 60 8.4
+2 0 0 0 0 18 24 62 9
+2 0 0 0 0 18 24 64 9.6
+2 0 0 0 0 18 24 66 10.2
+
+
+# iteration 3
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 1 0 0 18 24 17 4.5
+3 0 1 0 0 18 24 18 4.2
+3 0 1 0 0 18 24 19 3.9
+3 0 1 0 0 18 24 20 3.6
+3 0 1 0 0 18 24 21 3.3
+3 0 1 0 0 18 24 22 3
+3 0 1 0 0 18 24 23 2.7
+3 0 1 0 0 18 24 24 2.4
+3 0 1 0 0 18 24 25 2.1
+3 0 1 0 0 18 24 26 1.8
+3 0 1 0 0 18 24 27 1.5
+3 0 1 0 0 18 24 28 1.2
+3 0 1 0 0 18 24 29 0.9
+3 0 1 0 0 18 24 30 0.6
+3 0 1 0 0 18 24 31 0.3
+3 0 1 0 0 18 24 32 6.2803698347351e-16
+3 0 1 0 0 18 24 33 0.3
+3 0 1 0 0 18 24 34 0.6
+3 0 1 0 0 18 24 35 0.9
+3 0 1 0 0 18 24 36 1.2
+3 0 1 0 0 18 24 37 1.5
+3 0 1 0 0 18 24 38 1.8
+3 0 1 0 0 18 24 39 2.1
+3 0 1 0 0 18 24 40 2.4
+3 0 1 0 0 18 24 41 2.7
+3 0 1 0 0 18 24 42 3
+3 0 1 0 0 18 24 43 3.3
+3 0 1 0 0 18 24 44 3.6
+3 0 1 0 0 18 24 45 3.9
+3 0 1 0 0 18 24 46 4.2
+3 0 1 0 0 18 24 47 4.5
+3 0 1 0 0 18 24 48 4.8
+3 0 1 0 0 18 24 49 5.1
+3 0 1 0 0 18 24 50 5.4
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 24 17 4.5
+4 0 1 0 0 18 24 18 4.2
+4 0 1 0 0 18 24 19 3.9
+4 0 1 0 0 18 24 20 3.6
+4 0 1 0 0 18 24 21 3.3
+4 0 1 0 0 18 24 22 3
+4 0 1 0 0 18 24 23 2.7
+4 0 1 0 0 18 24 24 2.4
+4 0 1 0 0 18 24 25 2.1
+4 0 1 0 0 18 24 26 1.8
+4 0 1 0 0 18 24 27 1.5
+4 0 1 0 0 18 24 28 1.2
+4 0 1 0 0 18 24 29 0.9
+4 0 1 0 0 18 24 30 0.6
+4 0 1 0 0 18 24 31 0.3
+4 0 1 0 0 18 24 32 6.2803698347351e-16
+4 0 1 0 0 18 24 33 0.3
+4 0 1 0 0 18 24 34 0.6
+4 0 1 0 0 18 24 35 0.9
+4 0 1 0 0 18 24 36 1.2
+4 0 1 0 0 18 24 37 1.5
+4 0 1 0 0 18 24 38 1.8
+4 0 1 0 0 18 24 39 2.1
+4 0 1 0 0 18 24 40 2.4
+4 0 1 0 0 18 24 41 2.7
+4 0 1 0 0 18 24 42 3
+4 0 1 0 0 18 24 43 3.3
+4 0 1 0 0 18 24 44 3.6
+4 0 1 0 0 18 24 45 3.9
+4 0 1 0 0 18 24 46 4.2
+4 0 1 0 0 18 24 47 4.5
+4 0 1 0 0 18 24 48 4.8
+4 0 1 0 0 18 24 49 5.1
+4 0 1 0 0 18 24 50 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 18 24 0 9.6
+4 0 0 0 0 18 24 2 9
+4 0 0 0 0 18 24 4 8.4
+4 0 0 0 0 18 24 6 7.8
+4 0 0 0 0 18 24 8 7.2
+4 0 0 0 0 18 24 10 6.6
+4 0 0 0 0 18 24 12 6
+4 0 0 0 0 18 24 14 5.4
+4 0 0 0 0 18 24 16 4.8
+4 0 0 0 0 18 24 18 4.2
+4 0 0 0 0 18 24 20 3.6
+4 0 0 0 0 18 24 22 3
+4 0 0 0 0 18 24 24 2.4
+4 0 0 0 0 18 24 26 1.8
+4 0 0 0 0 18 24 28 1.2
+4 0 0 0 0 18 24 30 0.6
+4 0 0 0 0 18 24 32 6.2803698347351e-16
+4 0 0 0 0 18 24 34 0.6
+4 0 0 0 0 18 24 36 1.2
+4 0 0 0 0 18 24 38 1.8
+4 0 0 0 0 18 24 40 2.4
+4 0 0 0 0 18 24 42 3
+4 0 0 0 0 18 24 44 3.6
+4 0 0 0 0 18 24 46 4.2
+4 0 0 0 0 18 24 48 4.8
+4 0 0 0 0 18 24 50 5.4
+4 0 0 0 0 18 24 52 6
+4 0 0 0 0 18 24 54 6.6
+4 0 0 0 0 18 24 56 7.2
+4 0 0 0 0 18 24 58 7.8
+4 0 0 0 0 18 24 60 8.4
+4 0 0 0 0 18 24 62 9
+4 0 0 0 0 18 24 64 9.6
+4 0 0 0 0 18 24 66 10.2
+
+
+# iteration 5
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 1 0 0 18 24 17 4.5
+5 0 1 0 0 18 24 18 4.2
+5 0 1 0 0 18 24 19 3.9
+5 0 1 0 0 18 24 20 3.6
+5 0 1 0 0 18 24 21 3.3
+5 0 1 0 0 18 24 22 3
+5 0 1 0 0 18 24 23 2.7
+5 0 1 0 0 18 24 24 2.4
+5 0 1 0 0 18 24 25 2.1
+5 0 1 0 0 18 24 26 1.8
+5 0 1 0 0 18 24 27 1.5
+5 0 1 0 0 18 24 28 1.2
+5 0 1 0 0 18 24 29 0.9
+5 0 1 0 0 18 24 30 0.6
+5 0 1 0 0 18 24 31 0.3
+5 0 1 0 0 18 24 32 6.2803698347351e-16
+5 0 1 0 0 18 24 33 0.3
+5 0 1 0 0 18 24 34 0.6
+5 0 1 0 0 18 24 35 0.9
+5 0 1 0 0 18 24 36 1.2
+5 0 1 0 0 18 24 37 1.5
+5 0 1 0 0 18 24 38 1.8
+5 0 1 0 0 18 24 39 2.1
+5 0 1 0 0 18 24 40 2.4
+5 0 1 0 0 18 24 41 2.7
+5 0 1 0 0 18 24 42 3
+5 0 1 0 0 18 24 43 3.3
+5 0 1 0 0 18 24 44 3.6
+5 0 1 0 0 18 24 45 3.9
+5 0 1 0 0 18 24 46 4.2
+5 0 1 0 0 18 24 47 4.5
+5 0 1 0 0 18 24 48 4.8
+5 0 1 0 0 18 24 49 5.1
+5 0 1 0 0 18 24 50 5.4
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 24 17 4.5
+6 0 1 0 0 18 24 18 4.2
+6 0 1 0 0 18 24 19 3.9
+6 0 1 0 0 18 24 20 3.6
+6 0 1 0 0 18 24 21 3.3
+6 0 1 0 0 18 24 22 3
+6 0 1 0 0 18 24 23 2.7
+6 0 1 0 0 18 24 24 2.4
+6 0 1 0 0 18 24 25 2.1
+6 0 1 0 0 18 24 26 1.8
+6 0 1 0 0 18 24 27 1.5
+6 0 1 0 0 18 24 28 1.2
+6 0 1 0 0 18 24 29 0.9
+6 0 1 0 0 18 24 30 0.6
+6 0 1 0 0 18 24 31 0.3
+6 0 1 0 0 18 24 32 6.2803698347351e-16
+6 0 1 0 0 18 24 33 0.3
+6 0 1 0 0 18 24 34 0.6
+6 0 1 0 0 18 24 35 0.9
+6 0 1 0 0 18 24 36 1.2
+6 0 1 0 0 18 24 37 1.5
+6 0 1 0 0 18 24 38 1.8
+6 0 1 0 0 18 24 39 2.1
+6 0 1 0 0 18 24 40 2.4
+6 0 1 0 0 18 24 41 2.7
+6 0 1 0 0 18 24 42 3
+6 0 1 0 0 18 24 43 3.3
+6 0 1 0 0 18 24 44 3.6
+6 0 1 0 0 18 24 45 3.9
+6 0 1 0 0 18 24 46 4.2
+6 0 1 0 0 18 24 47 4.5
+6 0 1 0 0 18 24 48 4.8
+6 0 1 0 0 18 24 49 5.1
+6 0 1 0 0 18 24 50 5.4
+
+
+# iteration 6
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 0 0 0 18 24 0 9.6
+6 0 0 0 0 18 24 2 9
+6 0 0 0 0 18 24 4 8.4
+6 0 0 0 0 18 24 6 7.8
+6 0 0 0 0 18 24 8 7.2
+6 0 0 0 0 18 24 10 6.6
+6 0 0 0 0 18 24 12 6
+6 0 0 0 0 18 24 14 5.4
+6 0 0 0 0 18 24 16 4.8
+6 0 0 0 0 18 24 18 4.2
+6 0 0 0 0 18 24 20 3.6
+6 0 0 0 0 18 24 22 3
+6 0 0 0 0 18 24 24 2.4
+6 0 0 0 0 18 24 26 1.8
+6 0 0 0 0 18 24 28 1.2
+6 0 0 0 0 18 24 30 0.6
+6 0 0 0 0 18 24 32 6.2803698347351e-16
+6 0 0 0 0 18 24 34 0.6
+6 0 0 0 0 18 24 36 1.2
+6 0 0 0 0 18 24 38 1.8
+6 0 0 0 0 18 24 40 2.4
+6 0 0 0 0 18 24 42 3
+6 0 0 0 0 18 24 44 3.6
+6 0 0 0 0 18 24 46 4.2
+6 0 0 0 0 18 24 48 4.8
+6 0 0 0 0 18 24 50 5.4
+6 0 0 0 0 18 24 52 6
+6 0 0 0 0 18 24 54 6.6
+6 0 0 0 0 18 24 56 7.2
+6 0 0 0 0 18 24 58 7.8
+6 0 0 0 0 18 24 60 8.4
+6 0 0 0 0 18 24 62 9
+6 0 0 0 0 18 24 64 9.6
+6 0 0 0 0 18 24 66 10.2
+
+
+# iteration 7
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 1 0 0 18 24 17 4.5
+7 0 1 0 0 18 24 18 4.2
+7 0 1 0 0 18 24 19 3.9
+7 0 1 0 0 18 24 20 3.6
+7 0 1 0 0 18 24 21 3.3
+7 0 1 0 0 18 24 22 3
+7 0 1 0 0 18 24 23 2.7
+7 0 1 0 0 18 24 24 2.4
+7 0 1 0 0 18 24 25 2.1
+7 0 1 0 0 18 24 26 1.8
+7 0 1 0 0 18 24 27 1.5
+7 0 1 0 0 18 24 28 1.2
+7 0 1 0 0 18 24 29 0.9
+7 0 1 0 0 18 24 30 0.6
+7 0 1 0 0 18 24 31 0.3
+7 0 1 0 0 18 24 32 6.2803698347351e-16
+7 0 1 0 0 18 24 33 0.3
+7 0 1 0 0 18 24 34 0.6
+7 0 1 0 0 18 24 35 0.9
+7 0 1 0 0 18 24 36 1.2
+7 0 1 0 0 18 24 37 1.5
+7 0 1 0 0 18 24 38 1.8
+7 0 1 0 0 18 24 39 2.1
+7 0 1 0 0 18 24 40 2.4
+7 0 1 0 0 18 24 41 2.7
+7 0 1 0 0 18 24 42 3
+7 0 1 0 0 18 24 43 3.3
+7 0 1 0 0 18 24 44 3.6
+7 0 1 0 0 18 24 45 3.9
+7 0 1 0 0 18 24 46 4.2
+7 0 1 0 0 18 24 47 4.5
+7 0 1 0 0 18 24 48 4.8
+7 0 1 0 0 18 24 49 5.1
+7 0 1 0 0 18 24 50 5.4
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 24 17 4.5
+8 0 1 0 0 18 24 18 4.2
+8 0 1 0 0 18 24 19 3.9
+8 0 1 0 0 18 24 20 3.6
+8 0 1 0 0 18 24 21 3.3
+8 0 1 0 0 18 24 22 3
+8 0 1 0 0 18 24 23 2.7
+8 0 1 0 0 18 24 24 2.4
+8 0 1 0 0 18 24 25 2.1
+8 0 1 0 0 18 24 26 1.8
+8 0 1 0 0 18 24 27 1.5
+8 0 1 0 0 18 24 28 1.2
+8 0 1 0 0 18 24 29 0.9
+8 0 1 0 0 18 24 30 0.6
+8 0 1 0 0 18 24 31 0.3
+8 0 1 0 0 18 24 32 6.2803698347351e-16
+8 0 1 0 0 18 24 33 0.3
+8 0 1 0 0 18 24 34 0.6
+8 0 1 0 0 18 24 35 0.9
+8 0 1 0 0 18 24 36 1.2
+8 0 1 0 0 18 24 37 1.5
+8 0 1 0 0 18 24 38 1.8
+8 0 1 0 0 18 24 39 2.1
+8 0 1 0 0 18 24 40 2.4
+8 0 1 0 0 18 24 41 2.7
+8 0 1 0 0 18 24 42 3
+8 0 1 0 0 18 24 43 3.3
+8 0 1 0 0 18 24 44 3.6
+8 0 1 0 0 18 24 45 3.9
+8 0 1 0 0 18 24 46 4.2
+8 0 1 0 0 18 24 47 4.5
+8 0 1 0 0 18 24 48 4.8
+8 0 1 0 0 18 24 49 5.1
+8 0 1 0 0 18 24 50 5.4
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 18 24 0 9.6
+8 0 0 0 0 18 24 2 9
+8 0 0 0 0 18 24 4 8.4
+8 0 0 0 0 18 24 6 7.8
+8 0 0 0 0 18 24 8 7.2
+8 0 0 0 0 18 24 10 6.6
+8 0 0 0 0 18 24 12 6
+8 0 0 0 0 18 24 14 5.4
+8 0 0 0 0 18 24 16 4.8
+8 0 0 0 0 18 24 18 4.2
+8 0 0 0 0 18 24 20 3.6
+8 0 0 0 0 18 24 22 3
+8 0 0 0 0 18 24 24 2.4
+8 0 0 0 0 18 24 26 1.8
+8 0 0 0 0 18 24 28 1.2
+8 0 0 0 0 18 24 30 0.6
+8 0 0 0 0 18 24 32 6.2803698347351e-16
+8 0 0 0 0 18 24 34 0.6
+8 0 0 0 0 18 24 36 1.2
+8 0 0 0 0 18 24 38 1.8
+8 0 0 0 0 18 24 40 2.4
+8 0 0 0 0 18 24 42 3
+8 0 0 0 0 18 24 44 3.6
+8 0 0 0 0 18 24 46 4.2
+8 0 0 0 0 18 24 48 4.8
+8 0 0 0 0 18 24 50 5.4
+8 0 0 0 0 18 24 52 6
+8 0 0 0 0 18 24 54 6.6
+8 0 0 0 0 18 24 56 7.2
+8 0 0 0 0 18 24 58 7.8
+8 0 0 0 0 18 24 60 8.4
+8 0 0 0 0 18 24 62 9
+8 0 0 0 0 18 24 64 9.6
+8 0 0 0 0 18 24 66 10.2
+
+
+# iteration 9
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 1 0 0 18 24 17 4.5
+9 0 1 0 0 18 24 18 4.2
+9 0 1 0 0 18 24 19 3.9
+9 0 1 0 0 18 24 20 3.6
+9 0 1 0 0 18 24 21 3.3
+9 0 1 0 0 18 24 22 3
+9 0 1 0 0 18 24 23 2.7
+9 0 1 0 0 18 24 24 2.4
+9 0 1 0 0 18 24 25 2.1
+9 0 1 0 0 18 24 26 1.8
+9 0 1 0 0 18 24 27 1.5
+9 0 1 0 0 18 24 28 1.2
+9 0 1 0 0 18 24 29 0.9
+9 0 1 0 0 18 24 30 0.6
+9 0 1 0 0 18 24 31 0.3
+9 0 1 0 0 18 24 32 6.2803698347351e-16
+9 0 1 0 0 18 24 33 0.3
+9 0 1 0 0 18 24 34 0.6
+9 0 1 0 0 18 24 35 0.9
+9 0 1 0 0 18 24 36 1.2
+9 0 1 0 0 18 24 37 1.5
+9 0 1 0 0 18 24 38 1.8
+9 0 1 0 0 18 24 39 2.1
+9 0 1 0 0 18 24 40 2.4
+9 0 1 0 0 18 24 41 2.7
+9 0 1 0 0 18 24 42 3
+9 0 1 0 0 18 24 43 3.3
+9 0 1 0 0 18 24 44 3.6
+9 0 1 0 0 18 24 45 3.9
+9 0 1 0 0 18 24 46 4.2
+9 0 1 0 0 18 24 47 4.5
+9 0 1 0 0 18 24 48 4.8
+9 0 1 0 0 18 24 49 5.1
+9 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 24 17 4.5
+10 0 1 0 0 18 24 18 4.2
+10 0 1 0 0 18 24 19 3.9
+10 0 1 0 0 18 24 20 3.6
+10 0 1 0 0 18 24 21 3.3
+10 0 1 0 0 18 24 22 3
+10 0 1 0 0 18 24 23 2.7
+10 0 1 0 0 18 24 24 2.4
+10 0 1 0 0 18 24 25 2.1
+10 0 1 0 0 18 24 26 1.8
+10 0 1 0 0 18 24 27 1.5
+10 0 1 0 0 18 24 28 1.2
+10 0 1 0 0 18 24 29 0.9
+10 0 1 0 0 18 24 30 0.6
+10 0 1 0 0 18 24 31 0.3
+10 0 1 0 0 18 24 32 6.2803698347351e-16
+10 0 1 0 0 18 24 33 0.3
+10 0 1 0 0 18 24 34 0.6
+10 0 1 0 0 18 24 35 0.9
+10 0 1 0 0 18 24 36 1.2
+10 0 1 0 0 18 24 37 1.5
+10 0 1 0 0 18 24 38 1.8
+10 0 1 0 0 18 24 39 2.1
+10 0 1 0 0 18 24 40 2.4
+10 0 1 0 0 18 24 41 2.7
+10 0 1 0 0 18 24 42 3
+10 0 1 0 0 18 24 43 3.3
+10 0 1 0 0 18 24 44 3.6
+10 0 1 0 0 18 24 45 3.9
+10 0 1 0 0 18 24 46 4.2
+10 0 1 0 0 18 24 47 4.5
+10 0 1 0 0 18 24 48 4.8
+10 0 1 0 0 18 24 49 5.1
+10 0 1 0 0 18 24 50 5.4
+
+
+# iteration 10
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 0 0 0 18 24 0 9.6
+10 0 0 0 0 18 24 2 9
+10 0 0 0 0 18 24 4 8.4
+10 0 0 0 0 18 24 6 7.8
+10 0 0 0 0 18 24 8 7.2
+10 0 0 0 0 18 24 10 6.6
+10 0 0 0 0 18 24 12 6
+10 0 0 0 0 18 24 14 5.4
+10 0 0 0 0 18 24 16 4.8
+10 0 0 0 0 18 24 18 4.2
+10 0 0 0 0 18 24 20 3.6
+10 0 0 0 0 18 24 22 3
+10 0 0 0 0 18 24 24 2.4
+10 0 0 0 0 18 24 26 1.8
+10 0 0 0 0 18 24 28 1.2
+10 0 0 0 0 18 24 30 0.6
+10 0 0 0 0 18 24 32 6.2803698347351e-16
+10 0 0 0 0 18 24 34 0.6
+10 0 0 0 0 18 24 36 1.2
+10 0 0 0 0 18 24 38 1.8
+10 0 0 0 0 18 24 40 2.4
+10 0 0 0 0 18 24 42 3
+10 0 0 0 0 18 24 44 3.6
+10 0 0 0 0 18 24 46 4.2
+10 0 0 0 0 18 24 48 4.8
+10 0 0 0 0 18 24 50 5.4
+10 0 0 0 0 18 24 52 6
+10 0 0 0 0 18 24 54 6.6
+10 0 0 0 0 18 24 56 7.2
+10 0 0 0 0 18 24 58 7.8
+10 0 0 0 0 18 24 60 8.4
+10 0 0 0 0 18 24 62 9
+10 0 0 0 0 18 24 64 9.6
+10 0 0 0 0 18 24 66 10.2
+
+
+# iteration 11
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 1 0 0 18 24 17 4.5
+11 0 1 0 0 18 24 18 4.2
+11 0 1 0 0 18 24 19 3.9
+11 0 1 0 0 18 24 20 3.6
+11 0 1 0 0 18 24 21 3.3
+11 0 1 0 0 18 24 22 3
+11 0 1 0 0 18 24 23 2.7
+11 0 1 0 0 18 24 24 2.4
+11 0 1 0 0 18 24 25 2.1
+11 0 1 0 0 18 24 26 1.8
+11 0 1 0 0 18 24 27 1.5
+11 0 1 0 0 18 24 28 1.2
+11 0 1 0 0 18 24 29 0.9
+11 0 1 0 0 18 24 30 0.6
+11 0 1 0 0 18 24 31 0.3
+11 0 1 0 0 18 24 32 6.2803698347351e-16
+11 0 1 0 0 18 24 33 0.3
+11 0 1 0 0 18 24 34 0.6
+11 0 1 0 0 18 24 35 0.9
+11 0 1 0 0 18 24 36 1.2
+11 0 1 0 0 18 24 37 1.5
+11 0 1 0 0 18 24 38 1.8
+11 0 1 0 0 18 24 39 2.1
+11 0 1 0 0 18 24 40 2.4
+11 0 1 0 0 18 24 41 2.7
+11 0 1 0 0 18 24 42 3
+11 0 1 0 0 18 24 43 3.3
+11 0 1 0 0 18 24 44 3.6
+11 0 1 0 0 18 24 45 3.9
+11 0 1 0 0 18 24 46 4.2
+11 0 1 0 0 18 24 47 4.5
+11 0 1 0 0 18 24 48 4.8
+11 0 1 0 0 18 24 49 5.1
+11 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 24 17 4.5
+12 0 1 0 0 18 24 18 4.2
+12 0 1 0 0 18 24 19 3.9
+12 0 1 0 0 18 24 20 3.6
+12 0 1 0 0 18 24 21 3.3
+12 0 1 0 0 18 24 22 3
+12 0 1 0 0 18 24 23 2.7
+12 0 1 0 0 18 24 24 2.4
+12 0 1 0 0 18 24 25 2.1
+12 0 1 0 0 18 24 26 1.8
+12 0 1 0 0 18 24 27 1.5
+12 0 1 0 0 18 24 28 1.2
+12 0 1 0 0 18 24 29 0.9
+12 0 1 0 0 18 24 30 0.6
+12 0 1 0 0 18 24 31 0.3
+12 0 1 0 0 18 24 32 6.2803698347351e-16
+12 0 1 0 0 18 24 33 0.3
+12 0 1 0 0 18 24 34 0.6
+12 0 1 0 0 18 24 35 0.9
+12 0 1 0 0 18 24 36 1.2
+12 0 1 0 0 18 24 37 1.5
+12 0 1 0 0 18 24 38 1.8
+12 0 1 0 0 18 24 39 2.1
+12 0 1 0 0 18 24 40 2.4
+12 0 1 0 0 18 24 41 2.7
+12 0 1 0 0 18 24 42 3
+12 0 1 0 0 18 24 43 3.3
+12 0 1 0 0 18 24 44 3.6
+12 0 1 0 0 18 24 45 3.9
+12 0 1 0 0 18 24 46 4.2
+12 0 1 0 0 18 24 47 4.5
+12 0 1 0 0 18 24 48 4.8
+12 0 1 0 0 18 24 49 5.1
+12 0 1 0 0 18 24 50 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 18 24 0 9.6
+12 0 0 0 0 18 24 2 9
+12 0 0 0 0 18 24 4 8.4
+12 0 0 0 0 18 24 6 7.8
+12 0 0 0 0 18 24 8 7.2
+12 0 0 0 0 18 24 10 6.6
+12 0 0 0 0 18 24 12 6
+12 0 0 0 0 18 24 14 5.4
+12 0 0 0 0 18 24 16 4.8
+12 0 0 0 0 18 24 18 4.2
+12 0 0 0 0 18 24 20 3.6
+12 0 0 0 0 18 24 22 3
+12 0 0 0 0 18 24 24 2.4
+12 0 0 0 0 18 24 26 1.8
+12 0 0 0 0 18 24 28 1.2
+12 0 0 0 0 18 24 30 0.6
+12 0 0 0 0 18 24 32 6.2803698347351e-16
+12 0 0 0 0 18 24 34 0.6
+12 0 0 0 0 18 24 36 1.2
+12 0 0 0 0 18 24 38 1.8
+12 0 0 0 0 18 24 40 2.4
+12 0 0 0 0 18 24 42 3
+12 0 0 0 0 18 24 44 3.6
+12 0 0 0 0 18 24 46 4.2
+12 0 0 0 0 18 24 48 4.8
+12 0 0 0 0 18 24 50 5.4
+12 0 0 0 0 18 24 52 6
+12 0 0 0 0 18 24 54 6.6
+12 0 0 0 0 18 24 56 7.2
+12 0 0 0 0 18 24 58 7.8
+12 0 0 0 0 18 24 60 8.4
+12 0 0 0 0 18 24 62 9
+12 0 0 0 0 18 24 64 9.6
+12 0 0 0 0 18 24 66 10.2
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3.log b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3.log
new file mode 100644
index 000000000..beab11b3e
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3.log
@@ -0,0 +1,158 @@
+--------------------------------------------------------------------------------
+
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+
+Cactus version: 4.0.b11
+Compile date: Nov 30 2001 (15:23:02)
+Run date: Dec 3 2001 (11:04:48)
+Run host: lilypond.tat.physik.uni-tuebingen.de
+Parameter file: /home/eschnett/Calpha/Cactus/arrangements/Carpet/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3.par
+--------------------------------------------------------------------------------
+
+Activating thorn Cactus...Success -> active implementation Cactus
+Activation requested for
+--->Boundary IOBasic IOUtil Time Cart3d Carpet CarpetIOASCII CarpetLib CarpetSlab IDScalarWave WaveToyF77<---
+Activating thorn Boundary...Success -> active implementation boundary
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn IDScalarWave...Success -> active implementation idscalarwave
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Time...Success -> active implementation time
+Activating thorn WaveToyF77...Success -> active implementation wavetoy
+--------------------------------------------------------------------------------
+ if (recover)
+ Recover parameters
+ endif
+
+ Startup routines
+ Carpet: Startup routine
+ IOUtil: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOBasic: Startup routine
+ CarpetIOASCII: Startup routine
+ WaveToyF77: Register banner
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+ IDScalarWave: Check parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Time: Initialise Time variables
+ Time: Set timestep based on Courant condition
+ WaveToyF77: Schedule symmetries
+ IDScalarWave: Initial data for 3D wave equation
+ WaveToyF77: Boundaries of 3D wave equation
+ if (recover)
+ endif
+ if (checkpoint initial data)
+ endif
+ if (analysis)
+ endif
+
+ do loop over timesteps
+ Rotate timelevels
+ iteration = iteration + 1
+ t = t+dt
+ WaveToyF77: Evolution of 3D wave equation
+ WaveToyF77: Boundaries of 3D wave equation
+ if (checkpoint)
+ endif
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+WaveToyF77: Evolutions of a Scalar Field
+--------------------------------------------------------------------------------
+
+INFO (Carpet): Carpet is running on 1 processors
+INFO (IOBasic): I/O Method 'Scalar' registered
+INFO (IOBasic): Scalar: Output of scalar quantities (grid scalars, reductions) to ASCII files
+INFO (IOBasic): I/O Method 'Info' registered
+INFO (IOBasic): Info: Output of scalar quantities (grid scalars, reductions) to screen
+INFO (Cart3d): Cartesian coordinates:
+INFO (Cart3d): Whole grid: lower bound [-5.4, -7.2, -9.6]
+INFO (Cart3d): Whole grid: upper bound [5.4, 7.8, 10.2]
+INFO (Cart3d): Whole grid: extent [11.4, 15.6, 20.4]
+INFO (Cart3d): Interior: lower bound [-4.2, -6, -8.4]
+INFO (Cart3d): Interior: upper bound [4.2, 6.6, 9]
+INFO (Cart3d): Interior: extent [9, 13.2, 18]
+INFO (Cart3d): Grid spacing: [0.6, 0.6, 0.6]
+INFO (IOBasic): Scalar: Output every -1 iterations
+INFO (IOBasic): Info: Output every 1 iterations
+------------------
+ it | |
+ | t |
+------------------
+ 0 | 0.000 |
+ 0 | 0.000 |
+ 0 | 0.000 |
+ 1 | 0.075 |
+ 2 | 0.150 |
+ 2 | 0.150 |
+ 3 | 0.225 |
+ 4 | 0.300 |
+ 4 | 0.300 |
+ 4 | 0.300 |
+ 5 | 0.375 |
+ 6 | 0.450 |
+ 6 | 0.450 |
+ 7 | 0.525 |
+ 8 | 0.600 |
+ 8 | 0.600 |
+ 8 | 0.600 |
+ 9 | 0.675 |
+ 10 | 0.750 |
+ 10 | 0.750 |
+ 11 | 0.825 |
+ 12 | 0.900 |
+ 12 | 0.900 |
+ 12 | 0.900 |
+ 13 | 0.975 |
+ 14 | 1.050 |
+ 14 | 1.050 |
+ 15 | 1.125 |
+ 16 | 1.200 |
+ 16 | 1.200 |
+ 16 | 1.200 |
+ 17 | 1.275 |
+ 18 | 1.350 |
+ 18 | 1.350 |
+ 19 | 1.425 |
+ 20 | 1.500 |
+ 20 | 1.500 |
+ 20 | 1.500 |
+ 21 | 1.575 |
+ 22 | 1.650 |
+ 22 | 1.650 |
+ 23 | 1.725 |
+ 24 | 1.800 |
+ 24 | 1.800 |
+ 24 | 1.800 |
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3.par b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3.par
new file mode 100644
index 000000000..01fe36e6a
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3.par
@@ -0,0 +1,52 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3.par,v 1.8 2004/03/23 12:00:37 schnetter Exp $
+
+!DESC "WaveToy with periodic boundaries, 2 refinement levels"
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetLib CarpetReduce CarpetRegrid CarpetSlab IDScalarWave WaveToyF77"
+
+Carpet::poison_new_timelevels = yes
+Carpet::check_for_poison = yes
+Carpet::checksum_timelevels = yes
+
+Cactus::cctk_itlast = 24
+
+Time::dtfac = 0.5
+
+driver::global_nx = 19
+driver::global_ny = 26
+driver::global_nz = 34
+
+driver::ghost_size = 2
+
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space= 3
+Carpet::prolongation_order_time = 2
+
+CarpetRegrid::refinement_levels = 3
+
+grid::type = byrange
+grid::xmin = -5.4
+grid::ymin = -7.2
+grid::zmin = -9.6
+grid::xmax = 5.4
+grid::ymax = 7.8
+grid::zmax = 10.2
+grid::mode = periodic
+
+IO::out_dir = "wavetoyf77_periodic_coarse_rl3"
+
+IOBasic::outinfo_every = 1 # 10
+IOBasic::outinfo_vars = "wavetoy::phi"
+
+IOBasic::outScalar_every = 1 # 2
+IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1 # 2
+IOASCII::out1D_vars = "wavetoy::phi grid::coordinates"
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = plane
+IDScalarWave::kx = 0.222222222222222 # 2 / ((32-2) * 0.3)
+IDScalarWave::ky = 0.151515151515152 # 2 / ((46-2) * 0.3)
+IDScalarWave::kz = 0.222222222222222 # 4 / ((62-2) * 0.3)
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_x.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_x.xl
new file mode 100644
index 000000000..35dd3bbb1
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_x.xl
@@ -0,0 +1,1082 @@
+# GRID::cart3d_x x (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 -1.35
+0 0 2 0 0 28 48 64 -1.2
+0 0 2 0 0 29 48 64 -1.05
+0 0 2 0 0 30 48 64 -0.9
+0 0 2 0 0 31 48 64 -0.75
+0 0 2 0 0 32 48 64 -0.6
+0 0 2 0 0 33 48 64 -0.45
+0 0 2 0 0 34 48 64 -0.3
+0 0 2 0 0 35 48 64 -0.15
+0 0 2 0 0 36 48 64 4.44089209850063e-16
+0 0 2 0 0 37 48 64 0.15
+0 0 2 0 0 38 48 64 0.3
+0 0 2 0 0 39 48 64 0.450000000000001
+0 0 2 0 0 40 48 64 0.600000000000001
+0 0 2 0 0 41 48 64 0.750000000000001
+0 0 2 0 0 42 48 64 0.900000000000001
+0 0 2 0 0 43 48 64 1.05
+0 0 2 0 0 44 48 64 1.2
+0 0 2 0 0 45 48 64 1.35
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -2.7
+0 0 1 0 0 20 48 64 -2.4
+0 0 1 0 0 22 48 64 -2.1
+0 0 1 0 0 24 48 64 -1.8
+0 0 1 0 0 26 48 64 -1.5
+0 0 1 0 0 28 48 64 -1.2
+0 0 1 0 0 30 48 64 -0.9
+0 0 1 0 0 32 48 64 -0.6
+0 0 1 0 0 34 48 64 -0.3
+0 0 1 0 0 36 48 64 4.44089209850063e-16
+0 0 1 0 0 38 48 64 0.3
+0 0 1 0 0 40 48 64 0.600000000000001
+0 0 1 0 0 42 48 64 0.900000000000001
+0 0 1 0 0 44 48 64 1.2
+0 0 1 0 0 46 48 64 1.5
+0 0 1 0 0 48 48 64 1.8
+0 0 1 0 0 50 48 64 2.1
+0 0 1 0 0 52 48 64 2.4
+0 0 1 0 0 54 48 64 2.7
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -5.4
+0 0 0 0 0 4 48 64 -4.8
+0 0 0 0 0 8 48 64 -4.2
+0 0 0 0 0 12 48 64 -3.6
+0 0 0 0 0 16 48 64 -3
+0 0 0 0 0 20 48 64 -2.4
+0 0 0 0 0 24 48 64 -1.8
+0 0 0 0 0 28 48 64 -1.2
+0 0 0 0 0 32 48 64 -0.6
+0 0 0 0 0 36 48 64 4.44089209850063e-16
+0 0 0 0 0 40 48 64 0.600000000000001
+0 0 0 0 0 44 48 64 1.2
+0 0 0 0 0 48 48 64 1.8
+0 0 0 0 0 52 48 64 2.4
+0 0 0 0 0 56 48 64 3
+0 0 0 0 0 60 48 64 3.6
+0 0 0 0 0 64 48 64 4.2
+0 0 0 0 0 68 48 64 4.8
+0 0 0 0 0 72 48 64 5.4
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 -1.35
+1 0 2 0 0 28 48 64 -1.2
+1 0 2 0 0 29 48 64 -1.05
+1 0 2 0 0 30 48 64 -0.9
+1 0 2 0 0 31 48 64 -0.75
+1 0 2 0 0 32 48 64 -0.6
+1 0 2 0 0 33 48 64 -0.45
+1 0 2 0 0 34 48 64 -0.3
+1 0 2 0 0 35 48 64 -0.15
+1 0 2 0 0 36 48 64 4.44089209850063e-16
+1 0 2 0 0 37 48 64 0.15
+1 0 2 0 0 38 48 64 0.3
+1 0 2 0 0 39 48 64 0.450000000000001
+1 0 2 0 0 40 48 64 0.600000000000001
+1 0 2 0 0 41 48 64 0.750000000000001
+1 0 2 0 0 42 48 64 0.900000000000001
+1 0 2 0 0 43 48 64 1.05
+1 0 2 0 0 44 48 64 1.2
+1 0 2 0 0 45 48 64 1.35
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 -1.35
+2 0 2 0 0 28 48 64 -1.2
+2 0 2 0 0 29 48 64 -1.05
+2 0 2 0 0 30 48 64 -0.9
+2 0 2 0 0 31 48 64 -0.75
+2 0 2 0 0 32 48 64 -0.6
+2 0 2 0 0 33 48 64 -0.45
+2 0 2 0 0 34 48 64 -0.3
+2 0 2 0 0 35 48 64 -0.15
+2 0 2 0 0 36 48 64 4.44089209850063e-16
+2 0 2 0 0 37 48 64 0.15
+2 0 2 0 0 38 48 64 0.3
+2 0 2 0 0 39 48 64 0.450000000000001
+2 0 2 0 0 40 48 64 0.600000000000001
+2 0 2 0 0 41 48 64 0.750000000000001
+2 0 2 0 0 42 48 64 0.900000000000001
+2 0 2 0 0 43 48 64 1.05
+2 0 2 0 0 44 48 64 1.2
+2 0 2 0 0 45 48 64 1.35
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -2.7
+2 0 1 0 0 20 48 64 -2.4
+2 0 1 0 0 22 48 64 -2.1
+2 0 1 0 0 24 48 64 -1.8
+2 0 1 0 0 26 48 64 -1.5
+2 0 1 0 0 28 48 64 -1.2
+2 0 1 0 0 30 48 64 -0.9
+2 0 1 0 0 32 48 64 -0.6
+2 0 1 0 0 34 48 64 -0.3
+2 0 1 0 0 36 48 64 4.44089209850063e-16
+2 0 1 0 0 38 48 64 0.3
+2 0 1 0 0 40 48 64 0.600000000000001
+2 0 1 0 0 42 48 64 0.900000000000001
+2 0 1 0 0 44 48 64 1.2
+2 0 1 0 0 46 48 64 1.5
+2 0 1 0 0 48 48 64 1.8
+2 0 1 0 0 50 48 64 2.1
+2 0 1 0 0 52 48 64 2.4
+2 0 1 0 0 54 48 64 2.7
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 -1.35
+3 0 2 0 0 28 48 64 -1.2
+3 0 2 0 0 29 48 64 -1.05
+3 0 2 0 0 30 48 64 -0.9
+3 0 2 0 0 31 48 64 -0.75
+3 0 2 0 0 32 48 64 -0.6
+3 0 2 0 0 33 48 64 -0.45
+3 0 2 0 0 34 48 64 -0.3
+3 0 2 0 0 35 48 64 -0.15
+3 0 2 0 0 36 48 64 4.44089209850063e-16
+3 0 2 0 0 37 48 64 0.15
+3 0 2 0 0 38 48 64 0.3
+3 0 2 0 0 39 48 64 0.450000000000001
+3 0 2 0 0 40 48 64 0.600000000000001
+3 0 2 0 0 41 48 64 0.750000000000001
+3 0 2 0 0 42 48 64 0.900000000000001
+3 0 2 0 0 43 48 64 1.05
+3 0 2 0 0 44 48 64 1.2
+3 0 2 0 0 45 48 64 1.35
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 -1.35
+4 0 2 0 0 28 48 64 -1.2
+4 0 2 0 0 29 48 64 -1.05
+4 0 2 0 0 30 48 64 -0.9
+4 0 2 0 0 31 48 64 -0.75
+4 0 2 0 0 32 48 64 -0.6
+4 0 2 0 0 33 48 64 -0.45
+4 0 2 0 0 34 48 64 -0.3
+4 0 2 0 0 35 48 64 -0.15
+4 0 2 0 0 36 48 64 4.44089209850063e-16
+4 0 2 0 0 37 48 64 0.15
+4 0 2 0 0 38 48 64 0.3
+4 0 2 0 0 39 48 64 0.450000000000001
+4 0 2 0 0 40 48 64 0.600000000000001
+4 0 2 0 0 41 48 64 0.750000000000001
+4 0 2 0 0 42 48 64 0.900000000000001
+4 0 2 0 0 43 48 64 1.05
+4 0 2 0 0 44 48 64 1.2
+4 0 2 0 0 45 48 64 1.35
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 -2.7
+4 0 1 0 0 20 48 64 -2.4
+4 0 1 0 0 22 48 64 -2.1
+4 0 1 0 0 24 48 64 -1.8
+4 0 1 0 0 26 48 64 -1.5
+4 0 1 0 0 28 48 64 -1.2
+4 0 1 0 0 30 48 64 -0.9
+4 0 1 0 0 32 48 64 -0.6
+4 0 1 0 0 34 48 64 -0.3
+4 0 1 0 0 36 48 64 4.44089209850063e-16
+4 0 1 0 0 38 48 64 0.3
+4 0 1 0 0 40 48 64 0.600000000000001
+4 0 1 0 0 42 48 64 0.900000000000001
+4 0 1 0 0 44 48 64 1.2
+4 0 1 0 0 46 48 64 1.5
+4 0 1 0 0 48 48 64 1.8
+4 0 1 0 0 50 48 64 2.1
+4 0 1 0 0 52 48 64 2.4
+4 0 1 0 0 54 48 64 2.7
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -5.4
+4 0 0 0 0 4 48 64 -4.8
+4 0 0 0 0 8 48 64 -4.2
+4 0 0 0 0 12 48 64 -3.6
+4 0 0 0 0 16 48 64 -3
+4 0 0 0 0 20 48 64 -2.4
+4 0 0 0 0 24 48 64 -1.8
+4 0 0 0 0 28 48 64 -1.2
+4 0 0 0 0 32 48 64 -0.6
+4 0 0 0 0 36 48 64 4.44089209850063e-16
+4 0 0 0 0 40 48 64 0.600000000000001
+4 0 0 0 0 44 48 64 1.2
+4 0 0 0 0 48 48 64 1.8
+4 0 0 0 0 52 48 64 2.4
+4 0 0 0 0 56 48 64 3
+4 0 0 0 0 60 48 64 3.6
+4 0 0 0 0 64 48 64 4.2
+4 0 0 0 0 68 48 64 4.8
+4 0 0 0 0 72 48 64 5.4
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 -1.35
+5 0 2 0 0 28 48 64 -1.2
+5 0 2 0 0 29 48 64 -1.05
+5 0 2 0 0 30 48 64 -0.9
+5 0 2 0 0 31 48 64 -0.75
+5 0 2 0 0 32 48 64 -0.6
+5 0 2 0 0 33 48 64 -0.45
+5 0 2 0 0 34 48 64 -0.3
+5 0 2 0 0 35 48 64 -0.15
+5 0 2 0 0 36 48 64 4.44089209850063e-16
+5 0 2 0 0 37 48 64 0.15
+5 0 2 0 0 38 48 64 0.3
+5 0 2 0 0 39 48 64 0.450000000000001
+5 0 2 0 0 40 48 64 0.600000000000001
+5 0 2 0 0 41 48 64 0.750000000000001
+5 0 2 0 0 42 48 64 0.900000000000001
+5 0 2 0 0 43 48 64 1.05
+5 0 2 0 0 44 48 64 1.2
+5 0 2 0 0 45 48 64 1.35
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 -1.35
+6 0 2 0 0 28 48 64 -1.2
+6 0 2 0 0 29 48 64 -1.05
+6 0 2 0 0 30 48 64 -0.9
+6 0 2 0 0 31 48 64 -0.75
+6 0 2 0 0 32 48 64 -0.6
+6 0 2 0 0 33 48 64 -0.45
+6 0 2 0 0 34 48 64 -0.3
+6 0 2 0 0 35 48 64 -0.15
+6 0 2 0 0 36 48 64 4.44089209850063e-16
+6 0 2 0 0 37 48 64 0.15
+6 0 2 0 0 38 48 64 0.3
+6 0 2 0 0 39 48 64 0.450000000000001
+6 0 2 0 0 40 48 64 0.600000000000001
+6 0 2 0 0 41 48 64 0.750000000000001
+6 0 2 0 0 42 48 64 0.900000000000001
+6 0 2 0 0 43 48 64 1.05
+6 0 2 0 0 44 48 64 1.2
+6 0 2 0 0 45 48 64 1.35
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 -2.7
+6 0 1 0 0 20 48 64 -2.4
+6 0 1 0 0 22 48 64 -2.1
+6 0 1 0 0 24 48 64 -1.8
+6 0 1 0 0 26 48 64 -1.5
+6 0 1 0 0 28 48 64 -1.2
+6 0 1 0 0 30 48 64 -0.9
+6 0 1 0 0 32 48 64 -0.6
+6 0 1 0 0 34 48 64 -0.3
+6 0 1 0 0 36 48 64 4.44089209850063e-16
+6 0 1 0 0 38 48 64 0.3
+6 0 1 0 0 40 48 64 0.600000000000001
+6 0 1 0 0 42 48 64 0.900000000000001
+6 0 1 0 0 44 48 64 1.2
+6 0 1 0 0 46 48 64 1.5
+6 0 1 0 0 48 48 64 1.8
+6 0 1 0 0 50 48 64 2.1
+6 0 1 0 0 52 48 64 2.4
+6 0 1 0 0 54 48 64 2.7
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 -1.35
+7 0 2 0 0 28 48 64 -1.2
+7 0 2 0 0 29 48 64 -1.05
+7 0 2 0 0 30 48 64 -0.9
+7 0 2 0 0 31 48 64 -0.75
+7 0 2 0 0 32 48 64 -0.6
+7 0 2 0 0 33 48 64 -0.45
+7 0 2 0 0 34 48 64 -0.3
+7 0 2 0 0 35 48 64 -0.15
+7 0 2 0 0 36 48 64 4.44089209850063e-16
+7 0 2 0 0 37 48 64 0.15
+7 0 2 0 0 38 48 64 0.3
+7 0 2 0 0 39 48 64 0.450000000000001
+7 0 2 0 0 40 48 64 0.600000000000001
+7 0 2 0 0 41 48 64 0.750000000000001
+7 0 2 0 0 42 48 64 0.900000000000001
+7 0 2 0 0 43 48 64 1.05
+7 0 2 0 0 44 48 64 1.2
+7 0 2 0 0 45 48 64 1.35
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 -1.35
+8 0 2 0 0 28 48 64 -1.2
+8 0 2 0 0 29 48 64 -1.05
+8 0 2 0 0 30 48 64 -0.9
+8 0 2 0 0 31 48 64 -0.75
+8 0 2 0 0 32 48 64 -0.6
+8 0 2 0 0 33 48 64 -0.45
+8 0 2 0 0 34 48 64 -0.3
+8 0 2 0 0 35 48 64 -0.15
+8 0 2 0 0 36 48 64 4.44089209850063e-16
+8 0 2 0 0 37 48 64 0.15
+8 0 2 0 0 38 48 64 0.3
+8 0 2 0 0 39 48 64 0.450000000000001
+8 0 2 0 0 40 48 64 0.600000000000001
+8 0 2 0 0 41 48 64 0.750000000000001
+8 0 2 0 0 42 48 64 0.900000000000001
+8 0 2 0 0 43 48 64 1.05
+8 0 2 0 0 44 48 64 1.2
+8 0 2 0 0 45 48 64 1.35
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 -2.7
+8 0 1 0 0 20 48 64 -2.4
+8 0 1 0 0 22 48 64 -2.1
+8 0 1 0 0 24 48 64 -1.8
+8 0 1 0 0 26 48 64 -1.5
+8 0 1 0 0 28 48 64 -1.2
+8 0 1 0 0 30 48 64 -0.9
+8 0 1 0 0 32 48 64 -0.6
+8 0 1 0 0 34 48 64 -0.3
+8 0 1 0 0 36 48 64 4.44089209850063e-16
+8 0 1 0 0 38 48 64 0.3
+8 0 1 0 0 40 48 64 0.600000000000001
+8 0 1 0 0 42 48 64 0.900000000000001
+8 0 1 0 0 44 48 64 1.2
+8 0 1 0 0 46 48 64 1.5
+8 0 1 0 0 48 48 64 1.8
+8 0 1 0 0 50 48 64 2.1
+8 0 1 0 0 52 48 64 2.4
+8 0 1 0 0 54 48 64 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -5.4
+8 0 0 0 0 4 48 64 -4.8
+8 0 0 0 0 8 48 64 -4.2
+8 0 0 0 0 12 48 64 -3.6
+8 0 0 0 0 16 48 64 -3
+8 0 0 0 0 20 48 64 -2.4
+8 0 0 0 0 24 48 64 -1.8
+8 0 0 0 0 28 48 64 -1.2
+8 0 0 0 0 32 48 64 -0.6
+8 0 0 0 0 36 48 64 4.44089209850063e-16
+8 0 0 0 0 40 48 64 0.600000000000001
+8 0 0 0 0 44 48 64 1.2
+8 0 0 0 0 48 48 64 1.8
+8 0 0 0 0 52 48 64 2.4
+8 0 0 0 0 56 48 64 3
+8 0 0 0 0 60 48 64 3.6
+8 0 0 0 0 64 48 64 4.2
+8 0 0 0 0 68 48 64 4.8
+8 0 0 0 0 72 48 64 5.4
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 -1.35
+9 0 2 0 0 28 48 64 -1.2
+9 0 2 0 0 29 48 64 -1.05
+9 0 2 0 0 30 48 64 -0.9
+9 0 2 0 0 31 48 64 -0.75
+9 0 2 0 0 32 48 64 -0.6
+9 0 2 0 0 33 48 64 -0.45
+9 0 2 0 0 34 48 64 -0.3
+9 0 2 0 0 35 48 64 -0.15
+9 0 2 0 0 36 48 64 4.44089209850063e-16
+9 0 2 0 0 37 48 64 0.15
+9 0 2 0 0 38 48 64 0.3
+9 0 2 0 0 39 48 64 0.450000000000001
+9 0 2 0 0 40 48 64 0.600000000000001
+9 0 2 0 0 41 48 64 0.750000000000001
+9 0 2 0 0 42 48 64 0.900000000000001
+9 0 2 0 0 43 48 64 1.05
+9 0 2 0 0 44 48 64 1.2
+9 0 2 0 0 45 48 64 1.35
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 -1.35
+10 0 2 0 0 28 48 64 -1.2
+10 0 2 0 0 29 48 64 -1.05
+10 0 2 0 0 30 48 64 -0.9
+10 0 2 0 0 31 48 64 -0.75
+10 0 2 0 0 32 48 64 -0.6
+10 0 2 0 0 33 48 64 -0.45
+10 0 2 0 0 34 48 64 -0.3
+10 0 2 0 0 35 48 64 -0.15
+10 0 2 0 0 36 48 64 4.44089209850063e-16
+10 0 2 0 0 37 48 64 0.15
+10 0 2 0 0 38 48 64 0.3
+10 0 2 0 0 39 48 64 0.450000000000001
+10 0 2 0 0 40 48 64 0.600000000000001
+10 0 2 0 0 41 48 64 0.750000000000001
+10 0 2 0 0 42 48 64 0.900000000000001
+10 0 2 0 0 43 48 64 1.05
+10 0 2 0 0 44 48 64 1.2
+10 0 2 0 0 45 48 64 1.35
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 -2.7
+10 0 1 0 0 20 48 64 -2.4
+10 0 1 0 0 22 48 64 -2.1
+10 0 1 0 0 24 48 64 -1.8
+10 0 1 0 0 26 48 64 -1.5
+10 0 1 0 0 28 48 64 -1.2
+10 0 1 0 0 30 48 64 -0.9
+10 0 1 0 0 32 48 64 -0.6
+10 0 1 0 0 34 48 64 -0.3
+10 0 1 0 0 36 48 64 4.44089209850063e-16
+10 0 1 0 0 38 48 64 0.3
+10 0 1 0 0 40 48 64 0.600000000000001
+10 0 1 0 0 42 48 64 0.900000000000001
+10 0 1 0 0 44 48 64 1.2
+10 0 1 0 0 46 48 64 1.5
+10 0 1 0 0 48 48 64 1.8
+10 0 1 0 0 50 48 64 2.1
+10 0 1 0 0 52 48 64 2.4
+10 0 1 0 0 54 48 64 2.7
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 -1.35
+11 0 2 0 0 28 48 64 -1.2
+11 0 2 0 0 29 48 64 -1.05
+11 0 2 0 0 30 48 64 -0.9
+11 0 2 0 0 31 48 64 -0.75
+11 0 2 0 0 32 48 64 -0.6
+11 0 2 0 0 33 48 64 -0.45
+11 0 2 0 0 34 48 64 -0.3
+11 0 2 0 0 35 48 64 -0.15
+11 0 2 0 0 36 48 64 4.44089209850063e-16
+11 0 2 0 0 37 48 64 0.15
+11 0 2 0 0 38 48 64 0.3
+11 0 2 0 0 39 48 64 0.450000000000001
+11 0 2 0 0 40 48 64 0.600000000000001
+11 0 2 0 0 41 48 64 0.750000000000001
+11 0 2 0 0 42 48 64 0.900000000000001
+11 0 2 0 0 43 48 64 1.05
+11 0 2 0 0 44 48 64 1.2
+11 0 2 0 0 45 48 64 1.35
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 -1.35
+12 0 2 0 0 28 48 64 -1.2
+12 0 2 0 0 29 48 64 -1.05
+12 0 2 0 0 30 48 64 -0.9
+12 0 2 0 0 31 48 64 -0.75
+12 0 2 0 0 32 48 64 -0.6
+12 0 2 0 0 33 48 64 -0.45
+12 0 2 0 0 34 48 64 -0.3
+12 0 2 0 0 35 48 64 -0.15
+12 0 2 0 0 36 48 64 4.44089209850063e-16
+12 0 2 0 0 37 48 64 0.15
+12 0 2 0 0 38 48 64 0.3
+12 0 2 0 0 39 48 64 0.450000000000001
+12 0 2 0 0 40 48 64 0.600000000000001
+12 0 2 0 0 41 48 64 0.750000000000001
+12 0 2 0 0 42 48 64 0.900000000000001
+12 0 2 0 0 43 48 64 1.05
+12 0 2 0 0 44 48 64 1.2
+12 0 2 0 0 45 48 64 1.35
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 -2.7
+12 0 1 0 0 20 48 64 -2.4
+12 0 1 0 0 22 48 64 -2.1
+12 0 1 0 0 24 48 64 -1.8
+12 0 1 0 0 26 48 64 -1.5
+12 0 1 0 0 28 48 64 -1.2
+12 0 1 0 0 30 48 64 -0.9
+12 0 1 0 0 32 48 64 -0.6
+12 0 1 0 0 34 48 64 -0.3
+12 0 1 0 0 36 48 64 4.44089209850063e-16
+12 0 1 0 0 38 48 64 0.3
+12 0 1 0 0 40 48 64 0.600000000000001
+12 0 1 0 0 42 48 64 0.900000000000001
+12 0 1 0 0 44 48 64 1.2
+12 0 1 0 0 46 48 64 1.5
+12 0 1 0 0 48 48 64 1.8
+12 0 1 0 0 50 48 64 2.1
+12 0 1 0 0 52 48 64 2.4
+12 0 1 0 0 54 48 64 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -5.4
+12 0 0 0 0 4 48 64 -4.8
+12 0 0 0 0 8 48 64 -4.2
+12 0 0 0 0 12 48 64 -3.6
+12 0 0 0 0 16 48 64 -3
+12 0 0 0 0 20 48 64 -2.4
+12 0 0 0 0 24 48 64 -1.8
+12 0 0 0 0 28 48 64 -1.2
+12 0 0 0 0 32 48 64 -0.6
+12 0 0 0 0 36 48 64 4.44089209850063e-16
+12 0 0 0 0 40 48 64 0.600000000000001
+12 0 0 0 0 44 48 64 1.2
+12 0 0 0 0 48 48 64 1.8
+12 0 0 0 0 52 48 64 2.4
+12 0 0 0 0 56 48 64 3
+12 0 0 0 0 60 48 64 3.6
+12 0 0 0 0 64 48 64 4.2
+12 0 0 0 0 68 48 64 4.8
+12 0 0 0 0 72 48 64 5.4
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 -1.35
+13 0 2 0 0 28 48 64 -1.2
+13 0 2 0 0 29 48 64 -1.05
+13 0 2 0 0 30 48 64 -0.9
+13 0 2 0 0 31 48 64 -0.75
+13 0 2 0 0 32 48 64 -0.6
+13 0 2 0 0 33 48 64 -0.45
+13 0 2 0 0 34 48 64 -0.3
+13 0 2 0 0 35 48 64 -0.15
+13 0 2 0 0 36 48 64 4.44089209850063e-16
+13 0 2 0 0 37 48 64 0.15
+13 0 2 0 0 38 48 64 0.3
+13 0 2 0 0 39 48 64 0.450000000000001
+13 0 2 0 0 40 48 64 0.600000000000001
+13 0 2 0 0 41 48 64 0.750000000000001
+13 0 2 0 0 42 48 64 0.900000000000001
+13 0 2 0 0 43 48 64 1.05
+13 0 2 0 0 44 48 64 1.2
+13 0 2 0 0 45 48 64 1.35
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 -1.35
+14 0 2 0 0 28 48 64 -1.2
+14 0 2 0 0 29 48 64 -1.05
+14 0 2 0 0 30 48 64 -0.9
+14 0 2 0 0 31 48 64 -0.75
+14 0 2 0 0 32 48 64 -0.6
+14 0 2 0 0 33 48 64 -0.45
+14 0 2 0 0 34 48 64 -0.3
+14 0 2 0 0 35 48 64 -0.15
+14 0 2 0 0 36 48 64 4.44089209850063e-16
+14 0 2 0 0 37 48 64 0.15
+14 0 2 0 0 38 48 64 0.3
+14 0 2 0 0 39 48 64 0.450000000000001
+14 0 2 0 0 40 48 64 0.600000000000001
+14 0 2 0 0 41 48 64 0.750000000000001
+14 0 2 0 0 42 48 64 0.900000000000001
+14 0 2 0 0 43 48 64 1.05
+14 0 2 0 0 44 48 64 1.2
+14 0 2 0 0 45 48 64 1.35
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 -2.7
+14 0 1 0 0 20 48 64 -2.4
+14 0 1 0 0 22 48 64 -2.1
+14 0 1 0 0 24 48 64 -1.8
+14 0 1 0 0 26 48 64 -1.5
+14 0 1 0 0 28 48 64 -1.2
+14 0 1 0 0 30 48 64 -0.9
+14 0 1 0 0 32 48 64 -0.6
+14 0 1 0 0 34 48 64 -0.3
+14 0 1 0 0 36 48 64 4.44089209850063e-16
+14 0 1 0 0 38 48 64 0.3
+14 0 1 0 0 40 48 64 0.600000000000001
+14 0 1 0 0 42 48 64 0.900000000000001
+14 0 1 0 0 44 48 64 1.2
+14 0 1 0 0 46 48 64 1.5
+14 0 1 0 0 48 48 64 1.8
+14 0 1 0 0 50 48 64 2.1
+14 0 1 0 0 52 48 64 2.4
+14 0 1 0 0 54 48 64 2.7
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 -1.35
+15 0 2 0 0 28 48 64 -1.2
+15 0 2 0 0 29 48 64 -1.05
+15 0 2 0 0 30 48 64 -0.9
+15 0 2 0 0 31 48 64 -0.75
+15 0 2 0 0 32 48 64 -0.6
+15 0 2 0 0 33 48 64 -0.45
+15 0 2 0 0 34 48 64 -0.3
+15 0 2 0 0 35 48 64 -0.15
+15 0 2 0 0 36 48 64 4.44089209850063e-16
+15 0 2 0 0 37 48 64 0.15
+15 0 2 0 0 38 48 64 0.3
+15 0 2 0 0 39 48 64 0.450000000000001
+15 0 2 0 0 40 48 64 0.600000000000001
+15 0 2 0 0 41 48 64 0.750000000000001
+15 0 2 0 0 42 48 64 0.900000000000001
+15 0 2 0 0 43 48 64 1.05
+15 0 2 0 0 44 48 64 1.2
+15 0 2 0 0 45 48 64 1.35
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 -1.35
+16 0 2 0 0 28 48 64 -1.2
+16 0 2 0 0 29 48 64 -1.05
+16 0 2 0 0 30 48 64 -0.9
+16 0 2 0 0 31 48 64 -0.75
+16 0 2 0 0 32 48 64 -0.6
+16 0 2 0 0 33 48 64 -0.45
+16 0 2 0 0 34 48 64 -0.3
+16 0 2 0 0 35 48 64 -0.15
+16 0 2 0 0 36 48 64 4.44089209850063e-16
+16 0 2 0 0 37 48 64 0.15
+16 0 2 0 0 38 48 64 0.3
+16 0 2 0 0 39 48 64 0.450000000000001
+16 0 2 0 0 40 48 64 0.600000000000001
+16 0 2 0 0 41 48 64 0.750000000000001
+16 0 2 0 0 42 48 64 0.900000000000001
+16 0 2 0 0 43 48 64 1.05
+16 0 2 0 0 44 48 64 1.2
+16 0 2 0 0 45 48 64 1.35
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 -2.7
+16 0 1 0 0 20 48 64 -2.4
+16 0 1 0 0 22 48 64 -2.1
+16 0 1 0 0 24 48 64 -1.8
+16 0 1 0 0 26 48 64 -1.5
+16 0 1 0 0 28 48 64 -1.2
+16 0 1 0 0 30 48 64 -0.9
+16 0 1 0 0 32 48 64 -0.6
+16 0 1 0 0 34 48 64 -0.3
+16 0 1 0 0 36 48 64 4.44089209850063e-16
+16 0 1 0 0 38 48 64 0.3
+16 0 1 0 0 40 48 64 0.600000000000001
+16 0 1 0 0 42 48 64 0.900000000000001
+16 0 1 0 0 44 48 64 1.2
+16 0 1 0 0 46 48 64 1.5
+16 0 1 0 0 48 48 64 1.8
+16 0 1 0 0 50 48 64 2.1
+16 0 1 0 0 52 48 64 2.4
+16 0 1 0 0 54 48 64 2.7
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -5.4
+16 0 0 0 0 4 48 64 -4.8
+16 0 0 0 0 8 48 64 -4.2
+16 0 0 0 0 12 48 64 -3.6
+16 0 0 0 0 16 48 64 -3
+16 0 0 0 0 20 48 64 -2.4
+16 0 0 0 0 24 48 64 -1.8
+16 0 0 0 0 28 48 64 -1.2
+16 0 0 0 0 32 48 64 -0.6
+16 0 0 0 0 36 48 64 4.44089209850063e-16
+16 0 0 0 0 40 48 64 0.600000000000001
+16 0 0 0 0 44 48 64 1.2
+16 0 0 0 0 48 48 64 1.8
+16 0 0 0 0 52 48 64 2.4
+16 0 0 0 0 56 48 64 3
+16 0 0 0 0 60 48 64 3.6
+16 0 0 0 0 64 48 64 4.2
+16 0 0 0 0 68 48 64 4.8
+16 0 0 0 0 72 48 64 5.4
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 -1.35
+17 0 2 0 0 28 48 64 -1.2
+17 0 2 0 0 29 48 64 -1.05
+17 0 2 0 0 30 48 64 -0.9
+17 0 2 0 0 31 48 64 -0.75
+17 0 2 0 0 32 48 64 -0.6
+17 0 2 0 0 33 48 64 -0.45
+17 0 2 0 0 34 48 64 -0.3
+17 0 2 0 0 35 48 64 -0.15
+17 0 2 0 0 36 48 64 4.44089209850063e-16
+17 0 2 0 0 37 48 64 0.15
+17 0 2 0 0 38 48 64 0.3
+17 0 2 0 0 39 48 64 0.450000000000001
+17 0 2 0 0 40 48 64 0.600000000000001
+17 0 2 0 0 41 48 64 0.750000000000001
+17 0 2 0 0 42 48 64 0.900000000000001
+17 0 2 0 0 43 48 64 1.05
+17 0 2 0 0 44 48 64 1.2
+17 0 2 0 0 45 48 64 1.35
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 -1.35
+18 0 2 0 0 28 48 64 -1.2
+18 0 2 0 0 29 48 64 -1.05
+18 0 2 0 0 30 48 64 -0.9
+18 0 2 0 0 31 48 64 -0.75
+18 0 2 0 0 32 48 64 -0.6
+18 0 2 0 0 33 48 64 -0.45
+18 0 2 0 0 34 48 64 -0.3
+18 0 2 0 0 35 48 64 -0.15
+18 0 2 0 0 36 48 64 4.44089209850063e-16
+18 0 2 0 0 37 48 64 0.15
+18 0 2 0 0 38 48 64 0.3
+18 0 2 0 0 39 48 64 0.450000000000001
+18 0 2 0 0 40 48 64 0.600000000000001
+18 0 2 0 0 41 48 64 0.750000000000001
+18 0 2 0 0 42 48 64 0.900000000000001
+18 0 2 0 0 43 48 64 1.05
+18 0 2 0 0 44 48 64 1.2
+18 0 2 0 0 45 48 64 1.35
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 -2.7
+18 0 1 0 0 20 48 64 -2.4
+18 0 1 0 0 22 48 64 -2.1
+18 0 1 0 0 24 48 64 -1.8
+18 0 1 0 0 26 48 64 -1.5
+18 0 1 0 0 28 48 64 -1.2
+18 0 1 0 0 30 48 64 -0.9
+18 0 1 0 0 32 48 64 -0.6
+18 0 1 0 0 34 48 64 -0.3
+18 0 1 0 0 36 48 64 4.44089209850063e-16
+18 0 1 0 0 38 48 64 0.3
+18 0 1 0 0 40 48 64 0.600000000000001
+18 0 1 0 0 42 48 64 0.900000000000001
+18 0 1 0 0 44 48 64 1.2
+18 0 1 0 0 46 48 64 1.5
+18 0 1 0 0 48 48 64 1.8
+18 0 1 0 0 50 48 64 2.1
+18 0 1 0 0 52 48 64 2.4
+18 0 1 0 0 54 48 64 2.7
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 -1.35
+19 0 2 0 0 28 48 64 -1.2
+19 0 2 0 0 29 48 64 -1.05
+19 0 2 0 0 30 48 64 -0.9
+19 0 2 0 0 31 48 64 -0.75
+19 0 2 0 0 32 48 64 -0.6
+19 0 2 0 0 33 48 64 -0.45
+19 0 2 0 0 34 48 64 -0.3
+19 0 2 0 0 35 48 64 -0.15
+19 0 2 0 0 36 48 64 4.44089209850063e-16
+19 0 2 0 0 37 48 64 0.15
+19 0 2 0 0 38 48 64 0.3
+19 0 2 0 0 39 48 64 0.450000000000001
+19 0 2 0 0 40 48 64 0.600000000000001
+19 0 2 0 0 41 48 64 0.750000000000001
+19 0 2 0 0 42 48 64 0.900000000000001
+19 0 2 0 0 43 48 64 1.05
+19 0 2 0 0 44 48 64 1.2
+19 0 2 0 0 45 48 64 1.35
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 -1.35
+20 0 2 0 0 28 48 64 -1.2
+20 0 2 0 0 29 48 64 -1.05
+20 0 2 0 0 30 48 64 -0.9
+20 0 2 0 0 31 48 64 -0.75
+20 0 2 0 0 32 48 64 -0.6
+20 0 2 0 0 33 48 64 -0.45
+20 0 2 0 0 34 48 64 -0.3
+20 0 2 0 0 35 48 64 -0.15
+20 0 2 0 0 36 48 64 4.44089209850063e-16
+20 0 2 0 0 37 48 64 0.15
+20 0 2 0 0 38 48 64 0.3
+20 0 2 0 0 39 48 64 0.450000000000001
+20 0 2 0 0 40 48 64 0.600000000000001
+20 0 2 0 0 41 48 64 0.750000000000001
+20 0 2 0 0 42 48 64 0.900000000000001
+20 0 2 0 0 43 48 64 1.05
+20 0 2 0 0 44 48 64 1.2
+20 0 2 0 0 45 48 64 1.35
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 -2.7
+20 0 1 0 0 20 48 64 -2.4
+20 0 1 0 0 22 48 64 -2.1
+20 0 1 0 0 24 48 64 -1.8
+20 0 1 0 0 26 48 64 -1.5
+20 0 1 0 0 28 48 64 -1.2
+20 0 1 0 0 30 48 64 -0.9
+20 0 1 0 0 32 48 64 -0.6
+20 0 1 0 0 34 48 64 -0.3
+20 0 1 0 0 36 48 64 4.44089209850063e-16
+20 0 1 0 0 38 48 64 0.3
+20 0 1 0 0 40 48 64 0.600000000000001
+20 0 1 0 0 42 48 64 0.900000000000001
+20 0 1 0 0 44 48 64 1.2
+20 0 1 0 0 46 48 64 1.5
+20 0 1 0 0 48 48 64 1.8
+20 0 1 0 0 50 48 64 2.1
+20 0 1 0 0 52 48 64 2.4
+20 0 1 0 0 54 48 64 2.7
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -5.4
+20 0 0 0 0 4 48 64 -4.8
+20 0 0 0 0 8 48 64 -4.2
+20 0 0 0 0 12 48 64 -3.6
+20 0 0 0 0 16 48 64 -3
+20 0 0 0 0 20 48 64 -2.4
+20 0 0 0 0 24 48 64 -1.8
+20 0 0 0 0 28 48 64 -1.2
+20 0 0 0 0 32 48 64 -0.6
+20 0 0 0 0 36 48 64 4.44089209850063e-16
+20 0 0 0 0 40 48 64 0.600000000000001
+20 0 0 0 0 44 48 64 1.2
+20 0 0 0 0 48 48 64 1.8
+20 0 0 0 0 52 48 64 2.4
+20 0 0 0 0 56 48 64 3
+20 0 0 0 0 60 48 64 3.6
+20 0 0 0 0 64 48 64 4.2
+20 0 0 0 0 68 48 64 4.8
+20 0 0 0 0 72 48 64 5.4
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 -1.35
+21 0 2 0 0 28 48 64 -1.2
+21 0 2 0 0 29 48 64 -1.05
+21 0 2 0 0 30 48 64 -0.9
+21 0 2 0 0 31 48 64 -0.75
+21 0 2 0 0 32 48 64 -0.6
+21 0 2 0 0 33 48 64 -0.45
+21 0 2 0 0 34 48 64 -0.3
+21 0 2 0 0 35 48 64 -0.15
+21 0 2 0 0 36 48 64 4.44089209850063e-16
+21 0 2 0 0 37 48 64 0.15
+21 0 2 0 0 38 48 64 0.3
+21 0 2 0 0 39 48 64 0.450000000000001
+21 0 2 0 0 40 48 64 0.600000000000001
+21 0 2 0 0 41 48 64 0.750000000000001
+21 0 2 0 0 42 48 64 0.900000000000001
+21 0 2 0 0 43 48 64 1.05
+21 0 2 0 0 44 48 64 1.2
+21 0 2 0 0 45 48 64 1.35
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 -1.35
+22 0 2 0 0 28 48 64 -1.2
+22 0 2 0 0 29 48 64 -1.05
+22 0 2 0 0 30 48 64 -0.9
+22 0 2 0 0 31 48 64 -0.75
+22 0 2 0 0 32 48 64 -0.6
+22 0 2 0 0 33 48 64 -0.45
+22 0 2 0 0 34 48 64 -0.3
+22 0 2 0 0 35 48 64 -0.15
+22 0 2 0 0 36 48 64 4.44089209850063e-16
+22 0 2 0 0 37 48 64 0.15
+22 0 2 0 0 38 48 64 0.3
+22 0 2 0 0 39 48 64 0.450000000000001
+22 0 2 0 0 40 48 64 0.600000000000001
+22 0 2 0 0 41 48 64 0.750000000000001
+22 0 2 0 0 42 48 64 0.900000000000001
+22 0 2 0 0 43 48 64 1.05
+22 0 2 0 0 44 48 64 1.2
+22 0 2 0 0 45 48 64 1.35
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 -2.7
+22 0 1 0 0 20 48 64 -2.4
+22 0 1 0 0 22 48 64 -2.1
+22 0 1 0 0 24 48 64 -1.8
+22 0 1 0 0 26 48 64 -1.5
+22 0 1 0 0 28 48 64 -1.2
+22 0 1 0 0 30 48 64 -0.9
+22 0 1 0 0 32 48 64 -0.6
+22 0 1 0 0 34 48 64 -0.3
+22 0 1 0 0 36 48 64 4.44089209850063e-16
+22 0 1 0 0 38 48 64 0.3
+22 0 1 0 0 40 48 64 0.600000000000001
+22 0 1 0 0 42 48 64 0.900000000000001
+22 0 1 0 0 44 48 64 1.2
+22 0 1 0 0 46 48 64 1.5
+22 0 1 0 0 48 48 64 1.8
+22 0 1 0 0 50 48 64 2.1
+22 0 1 0 0 52 48 64 2.4
+22 0 1 0 0 54 48 64 2.7
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 -1.35
+23 0 2 0 0 28 48 64 -1.2
+23 0 2 0 0 29 48 64 -1.05
+23 0 2 0 0 30 48 64 -0.9
+23 0 2 0 0 31 48 64 -0.75
+23 0 2 0 0 32 48 64 -0.6
+23 0 2 0 0 33 48 64 -0.45
+23 0 2 0 0 34 48 64 -0.3
+23 0 2 0 0 35 48 64 -0.15
+23 0 2 0 0 36 48 64 4.44089209850063e-16
+23 0 2 0 0 37 48 64 0.15
+23 0 2 0 0 38 48 64 0.3
+23 0 2 0 0 39 48 64 0.450000000000001
+23 0 2 0 0 40 48 64 0.600000000000001
+23 0 2 0 0 41 48 64 0.750000000000001
+23 0 2 0 0 42 48 64 0.900000000000001
+23 0 2 0 0 43 48 64 1.05
+23 0 2 0 0 44 48 64 1.2
+23 0 2 0 0 45 48 64 1.35
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 -1.35
+24 0 2 0 0 28 48 64 -1.2
+24 0 2 0 0 29 48 64 -1.05
+24 0 2 0 0 30 48 64 -0.9
+24 0 2 0 0 31 48 64 -0.75
+24 0 2 0 0 32 48 64 -0.6
+24 0 2 0 0 33 48 64 -0.45
+24 0 2 0 0 34 48 64 -0.3
+24 0 2 0 0 35 48 64 -0.15
+24 0 2 0 0 36 48 64 4.44089209850063e-16
+24 0 2 0 0 37 48 64 0.15
+24 0 2 0 0 38 48 64 0.3
+24 0 2 0 0 39 48 64 0.450000000000001
+24 0 2 0 0 40 48 64 0.600000000000001
+24 0 2 0 0 41 48 64 0.750000000000001
+24 0 2 0 0 42 48 64 0.900000000000001
+24 0 2 0 0 43 48 64 1.05
+24 0 2 0 0 44 48 64 1.2
+24 0 2 0 0 45 48 64 1.35
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 -2.7
+24 0 1 0 0 20 48 64 -2.4
+24 0 1 0 0 22 48 64 -2.1
+24 0 1 0 0 24 48 64 -1.8
+24 0 1 0 0 26 48 64 -1.5
+24 0 1 0 0 28 48 64 -1.2
+24 0 1 0 0 30 48 64 -0.9
+24 0 1 0 0 32 48 64 -0.6
+24 0 1 0 0 34 48 64 -0.3
+24 0 1 0 0 36 48 64 4.44089209850063e-16
+24 0 1 0 0 38 48 64 0.3
+24 0 1 0 0 40 48 64 0.600000000000001
+24 0 1 0 0 42 48 64 0.900000000000001
+24 0 1 0 0 44 48 64 1.2
+24 0 1 0 0 46 48 64 1.5
+24 0 1 0 0 48 48 64 1.8
+24 0 1 0 0 50 48 64 2.1
+24 0 1 0 0 52 48 64 2.4
+24 0 1 0 0 54 48 64 2.7
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -5.4
+24 0 0 0 0 4 48 64 -4.8
+24 0 0 0 0 8 48 64 -4.2
+24 0 0 0 0 12 48 64 -3.6
+24 0 0 0 0 16 48 64 -3
+24 0 0 0 0 20 48 64 -2.4
+24 0 0 0 0 24 48 64 -1.8
+24 0 0 0 0 28 48 64 -1.2
+24 0 0 0 0 32 48 64 -0.6
+24 0 0 0 0 36 48 64 4.44089209850063e-16
+24 0 0 0 0 40 48 64 0.600000000000001
+24 0 0 0 0 44 48 64 1.2
+24 0 0 0 0 48 48 64 1.8
+24 0 0 0 0 52 48 64 2.4
+24 0 0 0 0 56 48 64 3
+24 0 0 0 0 60 48 64 3.6
+24 0 0 0 0 64 48 64 4.2
+24 0 0 0 0 68 48 64 4.8
+24 0 0 0 0 72 48 64 5.4
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_x.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_x.yl
new file mode 100644
index 000000000..a918a2185
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_x.yl
@@ -0,0 +1,1397 @@
+# GRID::cart3d_x y (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 4.44089209850063e-16
+0 0 2 0 0 36 40 64 4.44089209850063e-16
+0 0 2 0 0 36 41 64 4.44089209850063e-16
+0 0 2 0 0 36 42 64 4.44089209850063e-16
+0 0 2 0 0 36 43 64 4.44089209850063e-16
+0 0 2 0 0 36 44 64 4.44089209850063e-16
+0 0 2 0 0 36 45 64 4.44089209850063e-16
+0 0 2 0 0 36 46 64 4.44089209850063e-16
+0 0 2 0 0 36 47 64 4.44089209850063e-16
+0 0 2 0 0 36 48 64 4.44089209850063e-16
+0 0 2 0 0 36 49 64 4.44089209850063e-16
+0 0 2 0 0 36 50 64 4.44089209850063e-16
+0 0 2 0 0 36 51 64 4.44089209850063e-16
+0 0 2 0 0 36 52 64 4.44089209850063e-16
+0 0 2 0 0 36 53 64 4.44089209850063e-16
+0 0 2 0 0 36 54 64 4.44089209850063e-16
+0 0 2 0 0 36 55 64 4.44089209850063e-16
+0 0 2 0 0 36 56 64 4.44089209850063e-16
+0 0 2 0 0 36 57 64 4.44089209850063e-16
+0 0 2 0 0 36 58 64 4.44089209850063e-16
+0 0 2 0 0 36 59 64 4.44089209850063e-16
+0 0 2 0 0 36 60 64 4.44089209850063e-16
+0 0 2 0 0 36 61 64 4.44089209850063e-16
+0 0 2 0 0 36 62 64 4.44089209850063e-16
+0 0 2 0 0 36 63 64 4.44089209850063e-16
+0 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 4.44089209850063e-16
+0 0 1 0 0 36 28 64 4.44089209850063e-16
+0 0 1 0 0 36 30 64 4.44089209850063e-16
+0 0 1 0 0 36 32 64 4.44089209850063e-16
+0 0 1 0 0 36 34 64 4.44089209850063e-16
+0 0 1 0 0 36 36 64 4.44089209850063e-16
+0 0 1 0 0 36 38 64 4.44089209850063e-16
+0 0 1 0 0 36 40 64 4.44089209850063e-16
+0 0 1 0 0 36 42 64 4.44089209850063e-16
+0 0 1 0 0 36 44 64 4.44089209850063e-16
+0 0 1 0 0 36 46 64 4.44089209850063e-16
+0 0 1 0 0 36 48 64 4.44089209850063e-16
+0 0 1 0 0 36 50 64 4.44089209850063e-16
+0 0 1 0 0 36 52 64 4.44089209850063e-16
+0 0 1 0 0 36 54 64 4.44089209850063e-16
+0 0 1 0 0 36 56 64 4.44089209850063e-16
+0 0 1 0 0 36 58 64 4.44089209850063e-16
+0 0 1 0 0 36 60 64 4.44089209850063e-16
+0 0 1 0 0 36 62 64 4.44089209850063e-16
+0 0 1 0 0 36 64 64 4.44089209850063e-16
+0 0 1 0 0 36 66 64 4.44089209850063e-16
+0 0 1 0 0 36 68 64 4.44089209850063e-16
+0 0 1 0 0 36 70 64 4.44089209850063e-16
+0 0 1 0 0 36 72 64 4.44089209850063e-16
+0 0 1 0 0 36 74 64 4.44089209850063e-16
+0 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 4.44089209850063e-16
+0 0 0 0 0 36 4 64 4.44089209850063e-16
+0 0 0 0 0 36 8 64 4.44089209850063e-16
+0 0 0 0 0 36 12 64 4.44089209850063e-16
+0 0 0 0 0 36 16 64 4.44089209850063e-16
+0 0 0 0 0 36 20 64 4.44089209850063e-16
+0 0 0 0 0 36 24 64 4.44089209850063e-16
+0 0 0 0 0 36 28 64 4.44089209850063e-16
+0 0 0 0 0 36 32 64 4.44089209850063e-16
+0 0 0 0 0 36 36 64 4.44089209850063e-16
+0 0 0 0 0 36 40 64 4.44089209850063e-16
+0 0 0 0 0 36 44 64 4.44089209850063e-16
+0 0 0 0 0 36 48 64 4.44089209850063e-16
+0 0 0 0 0 36 52 64 4.44089209850063e-16
+0 0 0 0 0 36 56 64 4.44089209850063e-16
+0 0 0 0 0 36 60 64 4.44089209850063e-16
+0 0 0 0 0 36 64 64 4.44089209850063e-16
+0 0 0 0 0 36 68 64 4.44089209850063e-16
+0 0 0 0 0 36 72 64 4.44089209850063e-16
+0 0 0 0 0 36 76 64 4.44089209850063e-16
+0 0 0 0 0 36 80 64 4.44089209850063e-16
+0 0 0 0 0 36 84 64 4.44089209850063e-16
+0 0 0 0 0 36 88 64 4.44089209850063e-16
+0 0 0 0 0 36 92 64 4.44089209850063e-16
+0 0 0 0 0 36 96 64 4.44089209850063e-16
+0 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 4.44089209850063e-16
+1 0 2 0 0 36 40 64 4.44089209850063e-16
+1 0 2 0 0 36 41 64 4.44089209850063e-16
+1 0 2 0 0 36 42 64 4.44089209850063e-16
+1 0 2 0 0 36 43 64 4.44089209850063e-16
+1 0 2 0 0 36 44 64 4.44089209850063e-16
+1 0 2 0 0 36 45 64 4.44089209850063e-16
+1 0 2 0 0 36 46 64 4.44089209850063e-16
+1 0 2 0 0 36 47 64 4.44089209850063e-16
+1 0 2 0 0 36 48 64 4.44089209850063e-16
+1 0 2 0 0 36 49 64 4.44089209850063e-16
+1 0 2 0 0 36 50 64 4.44089209850063e-16
+1 0 2 0 0 36 51 64 4.44089209850063e-16
+1 0 2 0 0 36 52 64 4.44089209850063e-16
+1 0 2 0 0 36 53 64 4.44089209850063e-16
+1 0 2 0 0 36 54 64 4.44089209850063e-16
+1 0 2 0 0 36 55 64 4.44089209850063e-16
+1 0 2 0 0 36 56 64 4.44089209850063e-16
+1 0 2 0 0 36 57 64 4.44089209850063e-16
+1 0 2 0 0 36 58 64 4.44089209850063e-16
+1 0 2 0 0 36 59 64 4.44089209850063e-16
+1 0 2 0 0 36 60 64 4.44089209850063e-16
+1 0 2 0 0 36 61 64 4.44089209850063e-16
+1 0 2 0 0 36 62 64 4.44089209850063e-16
+1 0 2 0 0 36 63 64 4.44089209850063e-16
+1 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 4.44089209850063e-16
+2 0 2 0 0 36 40 64 4.44089209850063e-16
+2 0 2 0 0 36 41 64 4.44089209850063e-16
+2 0 2 0 0 36 42 64 4.44089209850063e-16
+2 0 2 0 0 36 43 64 4.44089209850063e-16
+2 0 2 0 0 36 44 64 4.44089209850063e-16
+2 0 2 0 0 36 45 64 4.44089209850063e-16
+2 0 2 0 0 36 46 64 4.44089209850063e-16
+2 0 2 0 0 36 47 64 4.44089209850063e-16
+2 0 2 0 0 36 48 64 4.44089209850063e-16
+2 0 2 0 0 36 49 64 4.44089209850063e-16
+2 0 2 0 0 36 50 64 4.44089209850063e-16
+2 0 2 0 0 36 51 64 4.44089209850063e-16
+2 0 2 0 0 36 52 64 4.44089209850063e-16
+2 0 2 0 0 36 53 64 4.44089209850063e-16
+2 0 2 0 0 36 54 64 4.44089209850063e-16
+2 0 2 0 0 36 55 64 4.44089209850063e-16
+2 0 2 0 0 36 56 64 4.44089209850063e-16
+2 0 2 0 0 36 57 64 4.44089209850063e-16
+2 0 2 0 0 36 58 64 4.44089209850063e-16
+2 0 2 0 0 36 59 64 4.44089209850063e-16
+2 0 2 0 0 36 60 64 4.44089209850063e-16
+2 0 2 0 0 36 61 64 4.44089209850063e-16
+2 0 2 0 0 36 62 64 4.44089209850063e-16
+2 0 2 0 0 36 63 64 4.44089209850063e-16
+2 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 4.44089209850063e-16
+2 0 1 0 0 36 28 64 4.44089209850063e-16
+2 0 1 0 0 36 30 64 4.44089209850063e-16
+2 0 1 0 0 36 32 64 4.44089209850063e-16
+2 0 1 0 0 36 34 64 4.44089209850063e-16
+2 0 1 0 0 36 36 64 4.44089209850063e-16
+2 0 1 0 0 36 38 64 4.44089209850063e-16
+2 0 1 0 0 36 40 64 4.44089209850063e-16
+2 0 1 0 0 36 42 64 4.44089209850063e-16
+2 0 1 0 0 36 44 64 4.44089209850063e-16
+2 0 1 0 0 36 46 64 4.44089209850063e-16
+2 0 1 0 0 36 48 64 4.44089209850063e-16
+2 0 1 0 0 36 50 64 4.44089209850063e-16
+2 0 1 0 0 36 52 64 4.44089209850063e-16
+2 0 1 0 0 36 54 64 4.44089209850063e-16
+2 0 1 0 0 36 56 64 4.44089209850063e-16
+2 0 1 0 0 36 58 64 4.44089209850063e-16
+2 0 1 0 0 36 60 64 4.44089209850063e-16
+2 0 1 0 0 36 62 64 4.44089209850063e-16
+2 0 1 0 0 36 64 64 4.44089209850063e-16
+2 0 1 0 0 36 66 64 4.44089209850063e-16
+2 0 1 0 0 36 68 64 4.44089209850063e-16
+2 0 1 0 0 36 70 64 4.44089209850063e-16
+2 0 1 0 0 36 72 64 4.44089209850063e-16
+2 0 1 0 0 36 74 64 4.44089209850063e-16
+2 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 4.44089209850063e-16
+3 0 2 0 0 36 40 64 4.44089209850063e-16
+3 0 2 0 0 36 41 64 4.44089209850063e-16
+3 0 2 0 0 36 42 64 4.44089209850063e-16
+3 0 2 0 0 36 43 64 4.44089209850063e-16
+3 0 2 0 0 36 44 64 4.44089209850063e-16
+3 0 2 0 0 36 45 64 4.44089209850063e-16
+3 0 2 0 0 36 46 64 4.44089209850063e-16
+3 0 2 0 0 36 47 64 4.44089209850063e-16
+3 0 2 0 0 36 48 64 4.44089209850063e-16
+3 0 2 0 0 36 49 64 4.44089209850063e-16
+3 0 2 0 0 36 50 64 4.44089209850063e-16
+3 0 2 0 0 36 51 64 4.44089209850063e-16
+3 0 2 0 0 36 52 64 4.44089209850063e-16
+3 0 2 0 0 36 53 64 4.44089209850063e-16
+3 0 2 0 0 36 54 64 4.44089209850063e-16
+3 0 2 0 0 36 55 64 4.44089209850063e-16
+3 0 2 0 0 36 56 64 4.44089209850063e-16
+3 0 2 0 0 36 57 64 4.44089209850063e-16
+3 0 2 0 0 36 58 64 4.44089209850063e-16
+3 0 2 0 0 36 59 64 4.44089209850063e-16
+3 0 2 0 0 36 60 64 4.44089209850063e-16
+3 0 2 0 0 36 61 64 4.44089209850063e-16
+3 0 2 0 0 36 62 64 4.44089209850063e-16
+3 0 2 0 0 36 63 64 4.44089209850063e-16
+3 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 4.44089209850063e-16
+4 0 2 0 0 36 40 64 4.44089209850063e-16
+4 0 2 0 0 36 41 64 4.44089209850063e-16
+4 0 2 0 0 36 42 64 4.44089209850063e-16
+4 0 2 0 0 36 43 64 4.44089209850063e-16
+4 0 2 0 0 36 44 64 4.44089209850063e-16
+4 0 2 0 0 36 45 64 4.44089209850063e-16
+4 0 2 0 0 36 46 64 4.44089209850063e-16
+4 0 2 0 0 36 47 64 4.44089209850063e-16
+4 0 2 0 0 36 48 64 4.44089209850063e-16
+4 0 2 0 0 36 49 64 4.44089209850063e-16
+4 0 2 0 0 36 50 64 4.44089209850063e-16
+4 0 2 0 0 36 51 64 4.44089209850063e-16
+4 0 2 0 0 36 52 64 4.44089209850063e-16
+4 0 2 0 0 36 53 64 4.44089209850063e-16
+4 0 2 0 0 36 54 64 4.44089209850063e-16
+4 0 2 0 0 36 55 64 4.44089209850063e-16
+4 0 2 0 0 36 56 64 4.44089209850063e-16
+4 0 2 0 0 36 57 64 4.44089209850063e-16
+4 0 2 0 0 36 58 64 4.44089209850063e-16
+4 0 2 0 0 36 59 64 4.44089209850063e-16
+4 0 2 0 0 36 60 64 4.44089209850063e-16
+4 0 2 0 0 36 61 64 4.44089209850063e-16
+4 0 2 0 0 36 62 64 4.44089209850063e-16
+4 0 2 0 0 36 63 64 4.44089209850063e-16
+4 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 4.44089209850063e-16
+4 0 1 0 0 36 28 64 4.44089209850063e-16
+4 0 1 0 0 36 30 64 4.44089209850063e-16
+4 0 1 0 0 36 32 64 4.44089209850063e-16
+4 0 1 0 0 36 34 64 4.44089209850063e-16
+4 0 1 0 0 36 36 64 4.44089209850063e-16
+4 0 1 0 0 36 38 64 4.44089209850063e-16
+4 0 1 0 0 36 40 64 4.44089209850063e-16
+4 0 1 0 0 36 42 64 4.44089209850063e-16
+4 0 1 0 0 36 44 64 4.44089209850063e-16
+4 0 1 0 0 36 46 64 4.44089209850063e-16
+4 0 1 0 0 36 48 64 4.44089209850063e-16
+4 0 1 0 0 36 50 64 4.44089209850063e-16
+4 0 1 0 0 36 52 64 4.44089209850063e-16
+4 0 1 0 0 36 54 64 4.44089209850063e-16
+4 0 1 0 0 36 56 64 4.44089209850063e-16
+4 0 1 0 0 36 58 64 4.44089209850063e-16
+4 0 1 0 0 36 60 64 4.44089209850063e-16
+4 0 1 0 0 36 62 64 4.44089209850063e-16
+4 0 1 0 0 36 64 64 4.44089209850063e-16
+4 0 1 0 0 36 66 64 4.44089209850063e-16
+4 0 1 0 0 36 68 64 4.44089209850063e-16
+4 0 1 0 0 36 70 64 4.44089209850063e-16
+4 0 1 0 0 36 72 64 4.44089209850063e-16
+4 0 1 0 0 36 74 64 4.44089209850063e-16
+4 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 4.44089209850063e-16
+4 0 0 0 0 36 4 64 4.44089209850063e-16
+4 0 0 0 0 36 8 64 4.44089209850063e-16
+4 0 0 0 0 36 12 64 4.44089209850063e-16
+4 0 0 0 0 36 16 64 4.44089209850063e-16
+4 0 0 0 0 36 20 64 4.44089209850063e-16
+4 0 0 0 0 36 24 64 4.44089209850063e-16
+4 0 0 0 0 36 28 64 4.44089209850063e-16
+4 0 0 0 0 36 32 64 4.44089209850063e-16
+4 0 0 0 0 36 36 64 4.44089209850063e-16
+4 0 0 0 0 36 40 64 4.44089209850063e-16
+4 0 0 0 0 36 44 64 4.44089209850063e-16
+4 0 0 0 0 36 48 64 4.44089209850063e-16
+4 0 0 0 0 36 52 64 4.44089209850063e-16
+4 0 0 0 0 36 56 64 4.44089209850063e-16
+4 0 0 0 0 36 60 64 4.44089209850063e-16
+4 0 0 0 0 36 64 64 4.44089209850063e-16
+4 0 0 0 0 36 68 64 4.44089209850063e-16
+4 0 0 0 0 36 72 64 4.44089209850063e-16
+4 0 0 0 0 36 76 64 4.44089209850063e-16
+4 0 0 0 0 36 80 64 4.44089209850063e-16
+4 0 0 0 0 36 84 64 4.44089209850063e-16
+4 0 0 0 0 36 88 64 4.44089209850063e-16
+4 0 0 0 0 36 92 64 4.44089209850063e-16
+4 0 0 0 0 36 96 64 4.44089209850063e-16
+4 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 4.44089209850063e-16
+5 0 2 0 0 36 40 64 4.44089209850063e-16
+5 0 2 0 0 36 41 64 4.44089209850063e-16
+5 0 2 0 0 36 42 64 4.44089209850063e-16
+5 0 2 0 0 36 43 64 4.44089209850063e-16
+5 0 2 0 0 36 44 64 4.44089209850063e-16
+5 0 2 0 0 36 45 64 4.44089209850063e-16
+5 0 2 0 0 36 46 64 4.44089209850063e-16
+5 0 2 0 0 36 47 64 4.44089209850063e-16
+5 0 2 0 0 36 48 64 4.44089209850063e-16
+5 0 2 0 0 36 49 64 4.44089209850063e-16
+5 0 2 0 0 36 50 64 4.44089209850063e-16
+5 0 2 0 0 36 51 64 4.44089209850063e-16
+5 0 2 0 0 36 52 64 4.44089209850063e-16
+5 0 2 0 0 36 53 64 4.44089209850063e-16
+5 0 2 0 0 36 54 64 4.44089209850063e-16
+5 0 2 0 0 36 55 64 4.44089209850063e-16
+5 0 2 0 0 36 56 64 4.44089209850063e-16
+5 0 2 0 0 36 57 64 4.44089209850063e-16
+5 0 2 0 0 36 58 64 4.44089209850063e-16
+5 0 2 0 0 36 59 64 4.44089209850063e-16
+5 0 2 0 0 36 60 64 4.44089209850063e-16
+5 0 2 0 0 36 61 64 4.44089209850063e-16
+5 0 2 0 0 36 62 64 4.44089209850063e-16
+5 0 2 0 0 36 63 64 4.44089209850063e-16
+5 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 4.44089209850063e-16
+6 0 2 0 0 36 40 64 4.44089209850063e-16
+6 0 2 0 0 36 41 64 4.44089209850063e-16
+6 0 2 0 0 36 42 64 4.44089209850063e-16
+6 0 2 0 0 36 43 64 4.44089209850063e-16
+6 0 2 0 0 36 44 64 4.44089209850063e-16
+6 0 2 0 0 36 45 64 4.44089209850063e-16
+6 0 2 0 0 36 46 64 4.44089209850063e-16
+6 0 2 0 0 36 47 64 4.44089209850063e-16
+6 0 2 0 0 36 48 64 4.44089209850063e-16
+6 0 2 0 0 36 49 64 4.44089209850063e-16
+6 0 2 0 0 36 50 64 4.44089209850063e-16
+6 0 2 0 0 36 51 64 4.44089209850063e-16
+6 0 2 0 0 36 52 64 4.44089209850063e-16
+6 0 2 0 0 36 53 64 4.44089209850063e-16
+6 0 2 0 0 36 54 64 4.44089209850063e-16
+6 0 2 0 0 36 55 64 4.44089209850063e-16
+6 0 2 0 0 36 56 64 4.44089209850063e-16
+6 0 2 0 0 36 57 64 4.44089209850063e-16
+6 0 2 0 0 36 58 64 4.44089209850063e-16
+6 0 2 0 0 36 59 64 4.44089209850063e-16
+6 0 2 0 0 36 60 64 4.44089209850063e-16
+6 0 2 0 0 36 61 64 4.44089209850063e-16
+6 0 2 0 0 36 62 64 4.44089209850063e-16
+6 0 2 0 0 36 63 64 4.44089209850063e-16
+6 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 4.44089209850063e-16
+6 0 1 0 0 36 28 64 4.44089209850063e-16
+6 0 1 0 0 36 30 64 4.44089209850063e-16
+6 0 1 0 0 36 32 64 4.44089209850063e-16
+6 0 1 0 0 36 34 64 4.44089209850063e-16
+6 0 1 0 0 36 36 64 4.44089209850063e-16
+6 0 1 0 0 36 38 64 4.44089209850063e-16
+6 0 1 0 0 36 40 64 4.44089209850063e-16
+6 0 1 0 0 36 42 64 4.44089209850063e-16
+6 0 1 0 0 36 44 64 4.44089209850063e-16
+6 0 1 0 0 36 46 64 4.44089209850063e-16
+6 0 1 0 0 36 48 64 4.44089209850063e-16
+6 0 1 0 0 36 50 64 4.44089209850063e-16
+6 0 1 0 0 36 52 64 4.44089209850063e-16
+6 0 1 0 0 36 54 64 4.44089209850063e-16
+6 0 1 0 0 36 56 64 4.44089209850063e-16
+6 0 1 0 0 36 58 64 4.44089209850063e-16
+6 0 1 0 0 36 60 64 4.44089209850063e-16
+6 0 1 0 0 36 62 64 4.44089209850063e-16
+6 0 1 0 0 36 64 64 4.44089209850063e-16
+6 0 1 0 0 36 66 64 4.44089209850063e-16
+6 0 1 0 0 36 68 64 4.44089209850063e-16
+6 0 1 0 0 36 70 64 4.44089209850063e-16
+6 0 1 0 0 36 72 64 4.44089209850063e-16
+6 0 1 0 0 36 74 64 4.44089209850063e-16
+6 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 4.44089209850063e-16
+7 0 2 0 0 36 40 64 4.44089209850063e-16
+7 0 2 0 0 36 41 64 4.44089209850063e-16
+7 0 2 0 0 36 42 64 4.44089209850063e-16
+7 0 2 0 0 36 43 64 4.44089209850063e-16
+7 0 2 0 0 36 44 64 4.44089209850063e-16
+7 0 2 0 0 36 45 64 4.44089209850063e-16
+7 0 2 0 0 36 46 64 4.44089209850063e-16
+7 0 2 0 0 36 47 64 4.44089209850063e-16
+7 0 2 0 0 36 48 64 4.44089209850063e-16
+7 0 2 0 0 36 49 64 4.44089209850063e-16
+7 0 2 0 0 36 50 64 4.44089209850063e-16
+7 0 2 0 0 36 51 64 4.44089209850063e-16
+7 0 2 0 0 36 52 64 4.44089209850063e-16
+7 0 2 0 0 36 53 64 4.44089209850063e-16
+7 0 2 0 0 36 54 64 4.44089209850063e-16
+7 0 2 0 0 36 55 64 4.44089209850063e-16
+7 0 2 0 0 36 56 64 4.44089209850063e-16
+7 0 2 0 0 36 57 64 4.44089209850063e-16
+7 0 2 0 0 36 58 64 4.44089209850063e-16
+7 0 2 0 0 36 59 64 4.44089209850063e-16
+7 0 2 0 0 36 60 64 4.44089209850063e-16
+7 0 2 0 0 36 61 64 4.44089209850063e-16
+7 0 2 0 0 36 62 64 4.44089209850063e-16
+7 0 2 0 0 36 63 64 4.44089209850063e-16
+7 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 4.44089209850063e-16
+8 0 2 0 0 36 40 64 4.44089209850063e-16
+8 0 2 0 0 36 41 64 4.44089209850063e-16
+8 0 2 0 0 36 42 64 4.44089209850063e-16
+8 0 2 0 0 36 43 64 4.44089209850063e-16
+8 0 2 0 0 36 44 64 4.44089209850063e-16
+8 0 2 0 0 36 45 64 4.44089209850063e-16
+8 0 2 0 0 36 46 64 4.44089209850063e-16
+8 0 2 0 0 36 47 64 4.44089209850063e-16
+8 0 2 0 0 36 48 64 4.44089209850063e-16
+8 0 2 0 0 36 49 64 4.44089209850063e-16
+8 0 2 0 0 36 50 64 4.44089209850063e-16
+8 0 2 0 0 36 51 64 4.44089209850063e-16
+8 0 2 0 0 36 52 64 4.44089209850063e-16
+8 0 2 0 0 36 53 64 4.44089209850063e-16
+8 0 2 0 0 36 54 64 4.44089209850063e-16
+8 0 2 0 0 36 55 64 4.44089209850063e-16
+8 0 2 0 0 36 56 64 4.44089209850063e-16
+8 0 2 0 0 36 57 64 4.44089209850063e-16
+8 0 2 0 0 36 58 64 4.44089209850063e-16
+8 0 2 0 0 36 59 64 4.44089209850063e-16
+8 0 2 0 0 36 60 64 4.44089209850063e-16
+8 0 2 0 0 36 61 64 4.44089209850063e-16
+8 0 2 0 0 36 62 64 4.44089209850063e-16
+8 0 2 0 0 36 63 64 4.44089209850063e-16
+8 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 4.44089209850063e-16
+8 0 1 0 0 36 28 64 4.44089209850063e-16
+8 0 1 0 0 36 30 64 4.44089209850063e-16
+8 0 1 0 0 36 32 64 4.44089209850063e-16
+8 0 1 0 0 36 34 64 4.44089209850063e-16
+8 0 1 0 0 36 36 64 4.44089209850063e-16
+8 0 1 0 0 36 38 64 4.44089209850063e-16
+8 0 1 0 0 36 40 64 4.44089209850063e-16
+8 0 1 0 0 36 42 64 4.44089209850063e-16
+8 0 1 0 0 36 44 64 4.44089209850063e-16
+8 0 1 0 0 36 46 64 4.44089209850063e-16
+8 0 1 0 0 36 48 64 4.44089209850063e-16
+8 0 1 0 0 36 50 64 4.44089209850063e-16
+8 0 1 0 0 36 52 64 4.44089209850063e-16
+8 0 1 0 0 36 54 64 4.44089209850063e-16
+8 0 1 0 0 36 56 64 4.44089209850063e-16
+8 0 1 0 0 36 58 64 4.44089209850063e-16
+8 0 1 0 0 36 60 64 4.44089209850063e-16
+8 0 1 0 0 36 62 64 4.44089209850063e-16
+8 0 1 0 0 36 64 64 4.44089209850063e-16
+8 0 1 0 0 36 66 64 4.44089209850063e-16
+8 0 1 0 0 36 68 64 4.44089209850063e-16
+8 0 1 0 0 36 70 64 4.44089209850063e-16
+8 0 1 0 0 36 72 64 4.44089209850063e-16
+8 0 1 0 0 36 74 64 4.44089209850063e-16
+8 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 4.44089209850063e-16
+8 0 0 0 0 36 4 64 4.44089209850063e-16
+8 0 0 0 0 36 8 64 4.44089209850063e-16
+8 0 0 0 0 36 12 64 4.44089209850063e-16
+8 0 0 0 0 36 16 64 4.44089209850063e-16
+8 0 0 0 0 36 20 64 4.44089209850063e-16
+8 0 0 0 0 36 24 64 4.44089209850063e-16
+8 0 0 0 0 36 28 64 4.44089209850063e-16
+8 0 0 0 0 36 32 64 4.44089209850063e-16
+8 0 0 0 0 36 36 64 4.44089209850063e-16
+8 0 0 0 0 36 40 64 4.44089209850063e-16
+8 0 0 0 0 36 44 64 4.44089209850063e-16
+8 0 0 0 0 36 48 64 4.44089209850063e-16
+8 0 0 0 0 36 52 64 4.44089209850063e-16
+8 0 0 0 0 36 56 64 4.44089209850063e-16
+8 0 0 0 0 36 60 64 4.44089209850063e-16
+8 0 0 0 0 36 64 64 4.44089209850063e-16
+8 0 0 0 0 36 68 64 4.44089209850063e-16
+8 0 0 0 0 36 72 64 4.44089209850063e-16
+8 0 0 0 0 36 76 64 4.44089209850063e-16
+8 0 0 0 0 36 80 64 4.44089209850063e-16
+8 0 0 0 0 36 84 64 4.44089209850063e-16
+8 0 0 0 0 36 88 64 4.44089209850063e-16
+8 0 0 0 0 36 92 64 4.44089209850063e-16
+8 0 0 0 0 36 96 64 4.44089209850063e-16
+8 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 4.44089209850063e-16
+9 0 2 0 0 36 40 64 4.44089209850063e-16
+9 0 2 0 0 36 41 64 4.44089209850063e-16
+9 0 2 0 0 36 42 64 4.44089209850063e-16
+9 0 2 0 0 36 43 64 4.44089209850063e-16
+9 0 2 0 0 36 44 64 4.44089209850063e-16
+9 0 2 0 0 36 45 64 4.44089209850063e-16
+9 0 2 0 0 36 46 64 4.44089209850063e-16
+9 0 2 0 0 36 47 64 4.44089209850063e-16
+9 0 2 0 0 36 48 64 4.44089209850063e-16
+9 0 2 0 0 36 49 64 4.44089209850063e-16
+9 0 2 0 0 36 50 64 4.44089209850063e-16
+9 0 2 0 0 36 51 64 4.44089209850063e-16
+9 0 2 0 0 36 52 64 4.44089209850063e-16
+9 0 2 0 0 36 53 64 4.44089209850063e-16
+9 0 2 0 0 36 54 64 4.44089209850063e-16
+9 0 2 0 0 36 55 64 4.44089209850063e-16
+9 0 2 0 0 36 56 64 4.44089209850063e-16
+9 0 2 0 0 36 57 64 4.44089209850063e-16
+9 0 2 0 0 36 58 64 4.44089209850063e-16
+9 0 2 0 0 36 59 64 4.44089209850063e-16
+9 0 2 0 0 36 60 64 4.44089209850063e-16
+9 0 2 0 0 36 61 64 4.44089209850063e-16
+9 0 2 0 0 36 62 64 4.44089209850063e-16
+9 0 2 0 0 36 63 64 4.44089209850063e-16
+9 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 4.44089209850063e-16
+10 0 2 0 0 36 40 64 4.44089209850063e-16
+10 0 2 0 0 36 41 64 4.44089209850063e-16
+10 0 2 0 0 36 42 64 4.44089209850063e-16
+10 0 2 0 0 36 43 64 4.44089209850063e-16
+10 0 2 0 0 36 44 64 4.44089209850063e-16
+10 0 2 0 0 36 45 64 4.44089209850063e-16
+10 0 2 0 0 36 46 64 4.44089209850063e-16
+10 0 2 0 0 36 47 64 4.44089209850063e-16
+10 0 2 0 0 36 48 64 4.44089209850063e-16
+10 0 2 0 0 36 49 64 4.44089209850063e-16
+10 0 2 0 0 36 50 64 4.44089209850063e-16
+10 0 2 0 0 36 51 64 4.44089209850063e-16
+10 0 2 0 0 36 52 64 4.44089209850063e-16
+10 0 2 0 0 36 53 64 4.44089209850063e-16
+10 0 2 0 0 36 54 64 4.44089209850063e-16
+10 0 2 0 0 36 55 64 4.44089209850063e-16
+10 0 2 0 0 36 56 64 4.44089209850063e-16
+10 0 2 0 0 36 57 64 4.44089209850063e-16
+10 0 2 0 0 36 58 64 4.44089209850063e-16
+10 0 2 0 0 36 59 64 4.44089209850063e-16
+10 0 2 0 0 36 60 64 4.44089209850063e-16
+10 0 2 0 0 36 61 64 4.44089209850063e-16
+10 0 2 0 0 36 62 64 4.44089209850063e-16
+10 0 2 0 0 36 63 64 4.44089209850063e-16
+10 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 4.44089209850063e-16
+10 0 1 0 0 36 28 64 4.44089209850063e-16
+10 0 1 0 0 36 30 64 4.44089209850063e-16
+10 0 1 0 0 36 32 64 4.44089209850063e-16
+10 0 1 0 0 36 34 64 4.44089209850063e-16
+10 0 1 0 0 36 36 64 4.44089209850063e-16
+10 0 1 0 0 36 38 64 4.44089209850063e-16
+10 0 1 0 0 36 40 64 4.44089209850063e-16
+10 0 1 0 0 36 42 64 4.44089209850063e-16
+10 0 1 0 0 36 44 64 4.44089209850063e-16
+10 0 1 0 0 36 46 64 4.44089209850063e-16
+10 0 1 0 0 36 48 64 4.44089209850063e-16
+10 0 1 0 0 36 50 64 4.44089209850063e-16
+10 0 1 0 0 36 52 64 4.44089209850063e-16
+10 0 1 0 0 36 54 64 4.44089209850063e-16
+10 0 1 0 0 36 56 64 4.44089209850063e-16
+10 0 1 0 0 36 58 64 4.44089209850063e-16
+10 0 1 0 0 36 60 64 4.44089209850063e-16
+10 0 1 0 0 36 62 64 4.44089209850063e-16
+10 0 1 0 0 36 64 64 4.44089209850063e-16
+10 0 1 0 0 36 66 64 4.44089209850063e-16
+10 0 1 0 0 36 68 64 4.44089209850063e-16
+10 0 1 0 0 36 70 64 4.44089209850063e-16
+10 0 1 0 0 36 72 64 4.44089209850063e-16
+10 0 1 0 0 36 74 64 4.44089209850063e-16
+10 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 4.44089209850063e-16
+11 0 2 0 0 36 40 64 4.44089209850063e-16
+11 0 2 0 0 36 41 64 4.44089209850063e-16
+11 0 2 0 0 36 42 64 4.44089209850063e-16
+11 0 2 0 0 36 43 64 4.44089209850063e-16
+11 0 2 0 0 36 44 64 4.44089209850063e-16
+11 0 2 0 0 36 45 64 4.44089209850063e-16
+11 0 2 0 0 36 46 64 4.44089209850063e-16
+11 0 2 0 0 36 47 64 4.44089209850063e-16
+11 0 2 0 0 36 48 64 4.44089209850063e-16
+11 0 2 0 0 36 49 64 4.44089209850063e-16
+11 0 2 0 0 36 50 64 4.44089209850063e-16
+11 0 2 0 0 36 51 64 4.44089209850063e-16
+11 0 2 0 0 36 52 64 4.44089209850063e-16
+11 0 2 0 0 36 53 64 4.44089209850063e-16
+11 0 2 0 0 36 54 64 4.44089209850063e-16
+11 0 2 0 0 36 55 64 4.44089209850063e-16
+11 0 2 0 0 36 56 64 4.44089209850063e-16
+11 0 2 0 0 36 57 64 4.44089209850063e-16
+11 0 2 0 0 36 58 64 4.44089209850063e-16
+11 0 2 0 0 36 59 64 4.44089209850063e-16
+11 0 2 0 0 36 60 64 4.44089209850063e-16
+11 0 2 0 0 36 61 64 4.44089209850063e-16
+11 0 2 0 0 36 62 64 4.44089209850063e-16
+11 0 2 0 0 36 63 64 4.44089209850063e-16
+11 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 4.44089209850063e-16
+12 0 2 0 0 36 40 64 4.44089209850063e-16
+12 0 2 0 0 36 41 64 4.44089209850063e-16
+12 0 2 0 0 36 42 64 4.44089209850063e-16
+12 0 2 0 0 36 43 64 4.44089209850063e-16
+12 0 2 0 0 36 44 64 4.44089209850063e-16
+12 0 2 0 0 36 45 64 4.44089209850063e-16
+12 0 2 0 0 36 46 64 4.44089209850063e-16
+12 0 2 0 0 36 47 64 4.44089209850063e-16
+12 0 2 0 0 36 48 64 4.44089209850063e-16
+12 0 2 0 0 36 49 64 4.44089209850063e-16
+12 0 2 0 0 36 50 64 4.44089209850063e-16
+12 0 2 0 0 36 51 64 4.44089209850063e-16
+12 0 2 0 0 36 52 64 4.44089209850063e-16
+12 0 2 0 0 36 53 64 4.44089209850063e-16
+12 0 2 0 0 36 54 64 4.44089209850063e-16
+12 0 2 0 0 36 55 64 4.44089209850063e-16
+12 0 2 0 0 36 56 64 4.44089209850063e-16
+12 0 2 0 0 36 57 64 4.44089209850063e-16
+12 0 2 0 0 36 58 64 4.44089209850063e-16
+12 0 2 0 0 36 59 64 4.44089209850063e-16
+12 0 2 0 0 36 60 64 4.44089209850063e-16
+12 0 2 0 0 36 61 64 4.44089209850063e-16
+12 0 2 0 0 36 62 64 4.44089209850063e-16
+12 0 2 0 0 36 63 64 4.44089209850063e-16
+12 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 4.44089209850063e-16
+12 0 1 0 0 36 28 64 4.44089209850063e-16
+12 0 1 0 0 36 30 64 4.44089209850063e-16
+12 0 1 0 0 36 32 64 4.44089209850063e-16
+12 0 1 0 0 36 34 64 4.44089209850063e-16
+12 0 1 0 0 36 36 64 4.44089209850063e-16
+12 0 1 0 0 36 38 64 4.44089209850063e-16
+12 0 1 0 0 36 40 64 4.44089209850063e-16
+12 0 1 0 0 36 42 64 4.44089209850063e-16
+12 0 1 0 0 36 44 64 4.44089209850063e-16
+12 0 1 0 0 36 46 64 4.44089209850063e-16
+12 0 1 0 0 36 48 64 4.44089209850063e-16
+12 0 1 0 0 36 50 64 4.44089209850063e-16
+12 0 1 0 0 36 52 64 4.44089209850063e-16
+12 0 1 0 0 36 54 64 4.44089209850063e-16
+12 0 1 0 0 36 56 64 4.44089209850063e-16
+12 0 1 0 0 36 58 64 4.44089209850063e-16
+12 0 1 0 0 36 60 64 4.44089209850063e-16
+12 0 1 0 0 36 62 64 4.44089209850063e-16
+12 0 1 0 0 36 64 64 4.44089209850063e-16
+12 0 1 0 0 36 66 64 4.44089209850063e-16
+12 0 1 0 0 36 68 64 4.44089209850063e-16
+12 0 1 0 0 36 70 64 4.44089209850063e-16
+12 0 1 0 0 36 72 64 4.44089209850063e-16
+12 0 1 0 0 36 74 64 4.44089209850063e-16
+12 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 4.44089209850063e-16
+12 0 0 0 0 36 4 64 4.44089209850063e-16
+12 0 0 0 0 36 8 64 4.44089209850063e-16
+12 0 0 0 0 36 12 64 4.44089209850063e-16
+12 0 0 0 0 36 16 64 4.44089209850063e-16
+12 0 0 0 0 36 20 64 4.44089209850063e-16
+12 0 0 0 0 36 24 64 4.44089209850063e-16
+12 0 0 0 0 36 28 64 4.44089209850063e-16
+12 0 0 0 0 36 32 64 4.44089209850063e-16
+12 0 0 0 0 36 36 64 4.44089209850063e-16
+12 0 0 0 0 36 40 64 4.44089209850063e-16
+12 0 0 0 0 36 44 64 4.44089209850063e-16
+12 0 0 0 0 36 48 64 4.44089209850063e-16
+12 0 0 0 0 36 52 64 4.44089209850063e-16
+12 0 0 0 0 36 56 64 4.44089209850063e-16
+12 0 0 0 0 36 60 64 4.44089209850063e-16
+12 0 0 0 0 36 64 64 4.44089209850063e-16
+12 0 0 0 0 36 68 64 4.44089209850063e-16
+12 0 0 0 0 36 72 64 4.44089209850063e-16
+12 0 0 0 0 36 76 64 4.44089209850063e-16
+12 0 0 0 0 36 80 64 4.44089209850063e-16
+12 0 0 0 0 36 84 64 4.44089209850063e-16
+12 0 0 0 0 36 88 64 4.44089209850063e-16
+12 0 0 0 0 36 92 64 4.44089209850063e-16
+12 0 0 0 0 36 96 64 4.44089209850063e-16
+12 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 4.44089209850063e-16
+13 0 2 0 0 36 40 64 4.44089209850063e-16
+13 0 2 0 0 36 41 64 4.44089209850063e-16
+13 0 2 0 0 36 42 64 4.44089209850063e-16
+13 0 2 0 0 36 43 64 4.44089209850063e-16
+13 0 2 0 0 36 44 64 4.44089209850063e-16
+13 0 2 0 0 36 45 64 4.44089209850063e-16
+13 0 2 0 0 36 46 64 4.44089209850063e-16
+13 0 2 0 0 36 47 64 4.44089209850063e-16
+13 0 2 0 0 36 48 64 4.44089209850063e-16
+13 0 2 0 0 36 49 64 4.44089209850063e-16
+13 0 2 0 0 36 50 64 4.44089209850063e-16
+13 0 2 0 0 36 51 64 4.44089209850063e-16
+13 0 2 0 0 36 52 64 4.44089209850063e-16
+13 0 2 0 0 36 53 64 4.44089209850063e-16
+13 0 2 0 0 36 54 64 4.44089209850063e-16
+13 0 2 0 0 36 55 64 4.44089209850063e-16
+13 0 2 0 0 36 56 64 4.44089209850063e-16
+13 0 2 0 0 36 57 64 4.44089209850063e-16
+13 0 2 0 0 36 58 64 4.44089209850063e-16
+13 0 2 0 0 36 59 64 4.44089209850063e-16
+13 0 2 0 0 36 60 64 4.44089209850063e-16
+13 0 2 0 0 36 61 64 4.44089209850063e-16
+13 0 2 0 0 36 62 64 4.44089209850063e-16
+13 0 2 0 0 36 63 64 4.44089209850063e-16
+13 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 4.44089209850063e-16
+14 0 2 0 0 36 40 64 4.44089209850063e-16
+14 0 2 0 0 36 41 64 4.44089209850063e-16
+14 0 2 0 0 36 42 64 4.44089209850063e-16
+14 0 2 0 0 36 43 64 4.44089209850063e-16
+14 0 2 0 0 36 44 64 4.44089209850063e-16
+14 0 2 0 0 36 45 64 4.44089209850063e-16
+14 0 2 0 0 36 46 64 4.44089209850063e-16
+14 0 2 0 0 36 47 64 4.44089209850063e-16
+14 0 2 0 0 36 48 64 4.44089209850063e-16
+14 0 2 0 0 36 49 64 4.44089209850063e-16
+14 0 2 0 0 36 50 64 4.44089209850063e-16
+14 0 2 0 0 36 51 64 4.44089209850063e-16
+14 0 2 0 0 36 52 64 4.44089209850063e-16
+14 0 2 0 0 36 53 64 4.44089209850063e-16
+14 0 2 0 0 36 54 64 4.44089209850063e-16
+14 0 2 0 0 36 55 64 4.44089209850063e-16
+14 0 2 0 0 36 56 64 4.44089209850063e-16
+14 0 2 0 0 36 57 64 4.44089209850063e-16
+14 0 2 0 0 36 58 64 4.44089209850063e-16
+14 0 2 0 0 36 59 64 4.44089209850063e-16
+14 0 2 0 0 36 60 64 4.44089209850063e-16
+14 0 2 0 0 36 61 64 4.44089209850063e-16
+14 0 2 0 0 36 62 64 4.44089209850063e-16
+14 0 2 0 0 36 63 64 4.44089209850063e-16
+14 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 4.44089209850063e-16
+14 0 1 0 0 36 28 64 4.44089209850063e-16
+14 0 1 0 0 36 30 64 4.44089209850063e-16
+14 0 1 0 0 36 32 64 4.44089209850063e-16
+14 0 1 0 0 36 34 64 4.44089209850063e-16
+14 0 1 0 0 36 36 64 4.44089209850063e-16
+14 0 1 0 0 36 38 64 4.44089209850063e-16
+14 0 1 0 0 36 40 64 4.44089209850063e-16
+14 0 1 0 0 36 42 64 4.44089209850063e-16
+14 0 1 0 0 36 44 64 4.44089209850063e-16
+14 0 1 0 0 36 46 64 4.44089209850063e-16
+14 0 1 0 0 36 48 64 4.44089209850063e-16
+14 0 1 0 0 36 50 64 4.44089209850063e-16
+14 0 1 0 0 36 52 64 4.44089209850063e-16
+14 0 1 0 0 36 54 64 4.44089209850063e-16
+14 0 1 0 0 36 56 64 4.44089209850063e-16
+14 0 1 0 0 36 58 64 4.44089209850063e-16
+14 0 1 0 0 36 60 64 4.44089209850063e-16
+14 0 1 0 0 36 62 64 4.44089209850063e-16
+14 0 1 0 0 36 64 64 4.44089209850063e-16
+14 0 1 0 0 36 66 64 4.44089209850063e-16
+14 0 1 0 0 36 68 64 4.44089209850063e-16
+14 0 1 0 0 36 70 64 4.44089209850063e-16
+14 0 1 0 0 36 72 64 4.44089209850063e-16
+14 0 1 0 0 36 74 64 4.44089209850063e-16
+14 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 4.44089209850063e-16
+15 0 2 0 0 36 40 64 4.44089209850063e-16
+15 0 2 0 0 36 41 64 4.44089209850063e-16
+15 0 2 0 0 36 42 64 4.44089209850063e-16
+15 0 2 0 0 36 43 64 4.44089209850063e-16
+15 0 2 0 0 36 44 64 4.44089209850063e-16
+15 0 2 0 0 36 45 64 4.44089209850063e-16
+15 0 2 0 0 36 46 64 4.44089209850063e-16
+15 0 2 0 0 36 47 64 4.44089209850063e-16
+15 0 2 0 0 36 48 64 4.44089209850063e-16
+15 0 2 0 0 36 49 64 4.44089209850063e-16
+15 0 2 0 0 36 50 64 4.44089209850063e-16
+15 0 2 0 0 36 51 64 4.44089209850063e-16
+15 0 2 0 0 36 52 64 4.44089209850063e-16
+15 0 2 0 0 36 53 64 4.44089209850063e-16
+15 0 2 0 0 36 54 64 4.44089209850063e-16
+15 0 2 0 0 36 55 64 4.44089209850063e-16
+15 0 2 0 0 36 56 64 4.44089209850063e-16
+15 0 2 0 0 36 57 64 4.44089209850063e-16
+15 0 2 0 0 36 58 64 4.44089209850063e-16
+15 0 2 0 0 36 59 64 4.44089209850063e-16
+15 0 2 0 0 36 60 64 4.44089209850063e-16
+15 0 2 0 0 36 61 64 4.44089209850063e-16
+15 0 2 0 0 36 62 64 4.44089209850063e-16
+15 0 2 0 0 36 63 64 4.44089209850063e-16
+15 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 4.44089209850063e-16
+16 0 2 0 0 36 40 64 4.44089209850063e-16
+16 0 2 0 0 36 41 64 4.44089209850063e-16
+16 0 2 0 0 36 42 64 4.44089209850063e-16
+16 0 2 0 0 36 43 64 4.44089209850063e-16
+16 0 2 0 0 36 44 64 4.44089209850063e-16
+16 0 2 0 0 36 45 64 4.44089209850063e-16
+16 0 2 0 0 36 46 64 4.44089209850063e-16
+16 0 2 0 0 36 47 64 4.44089209850063e-16
+16 0 2 0 0 36 48 64 4.44089209850063e-16
+16 0 2 0 0 36 49 64 4.44089209850063e-16
+16 0 2 0 0 36 50 64 4.44089209850063e-16
+16 0 2 0 0 36 51 64 4.44089209850063e-16
+16 0 2 0 0 36 52 64 4.44089209850063e-16
+16 0 2 0 0 36 53 64 4.44089209850063e-16
+16 0 2 0 0 36 54 64 4.44089209850063e-16
+16 0 2 0 0 36 55 64 4.44089209850063e-16
+16 0 2 0 0 36 56 64 4.44089209850063e-16
+16 0 2 0 0 36 57 64 4.44089209850063e-16
+16 0 2 0 0 36 58 64 4.44089209850063e-16
+16 0 2 0 0 36 59 64 4.44089209850063e-16
+16 0 2 0 0 36 60 64 4.44089209850063e-16
+16 0 2 0 0 36 61 64 4.44089209850063e-16
+16 0 2 0 0 36 62 64 4.44089209850063e-16
+16 0 2 0 0 36 63 64 4.44089209850063e-16
+16 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 4.44089209850063e-16
+16 0 1 0 0 36 28 64 4.44089209850063e-16
+16 0 1 0 0 36 30 64 4.44089209850063e-16
+16 0 1 0 0 36 32 64 4.44089209850063e-16
+16 0 1 0 0 36 34 64 4.44089209850063e-16
+16 0 1 0 0 36 36 64 4.44089209850063e-16
+16 0 1 0 0 36 38 64 4.44089209850063e-16
+16 0 1 0 0 36 40 64 4.44089209850063e-16
+16 0 1 0 0 36 42 64 4.44089209850063e-16
+16 0 1 0 0 36 44 64 4.44089209850063e-16
+16 0 1 0 0 36 46 64 4.44089209850063e-16
+16 0 1 0 0 36 48 64 4.44089209850063e-16
+16 0 1 0 0 36 50 64 4.44089209850063e-16
+16 0 1 0 0 36 52 64 4.44089209850063e-16
+16 0 1 0 0 36 54 64 4.44089209850063e-16
+16 0 1 0 0 36 56 64 4.44089209850063e-16
+16 0 1 0 0 36 58 64 4.44089209850063e-16
+16 0 1 0 0 36 60 64 4.44089209850063e-16
+16 0 1 0 0 36 62 64 4.44089209850063e-16
+16 0 1 0 0 36 64 64 4.44089209850063e-16
+16 0 1 0 0 36 66 64 4.44089209850063e-16
+16 0 1 0 0 36 68 64 4.44089209850063e-16
+16 0 1 0 0 36 70 64 4.44089209850063e-16
+16 0 1 0 0 36 72 64 4.44089209850063e-16
+16 0 1 0 0 36 74 64 4.44089209850063e-16
+16 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 4.44089209850063e-16
+16 0 0 0 0 36 4 64 4.44089209850063e-16
+16 0 0 0 0 36 8 64 4.44089209850063e-16
+16 0 0 0 0 36 12 64 4.44089209850063e-16
+16 0 0 0 0 36 16 64 4.44089209850063e-16
+16 0 0 0 0 36 20 64 4.44089209850063e-16
+16 0 0 0 0 36 24 64 4.44089209850063e-16
+16 0 0 0 0 36 28 64 4.44089209850063e-16
+16 0 0 0 0 36 32 64 4.44089209850063e-16
+16 0 0 0 0 36 36 64 4.44089209850063e-16
+16 0 0 0 0 36 40 64 4.44089209850063e-16
+16 0 0 0 0 36 44 64 4.44089209850063e-16
+16 0 0 0 0 36 48 64 4.44089209850063e-16
+16 0 0 0 0 36 52 64 4.44089209850063e-16
+16 0 0 0 0 36 56 64 4.44089209850063e-16
+16 0 0 0 0 36 60 64 4.44089209850063e-16
+16 0 0 0 0 36 64 64 4.44089209850063e-16
+16 0 0 0 0 36 68 64 4.44089209850063e-16
+16 0 0 0 0 36 72 64 4.44089209850063e-16
+16 0 0 0 0 36 76 64 4.44089209850063e-16
+16 0 0 0 0 36 80 64 4.44089209850063e-16
+16 0 0 0 0 36 84 64 4.44089209850063e-16
+16 0 0 0 0 36 88 64 4.44089209850063e-16
+16 0 0 0 0 36 92 64 4.44089209850063e-16
+16 0 0 0 0 36 96 64 4.44089209850063e-16
+16 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 4.44089209850063e-16
+17 0 2 0 0 36 40 64 4.44089209850063e-16
+17 0 2 0 0 36 41 64 4.44089209850063e-16
+17 0 2 0 0 36 42 64 4.44089209850063e-16
+17 0 2 0 0 36 43 64 4.44089209850063e-16
+17 0 2 0 0 36 44 64 4.44089209850063e-16
+17 0 2 0 0 36 45 64 4.44089209850063e-16
+17 0 2 0 0 36 46 64 4.44089209850063e-16
+17 0 2 0 0 36 47 64 4.44089209850063e-16
+17 0 2 0 0 36 48 64 4.44089209850063e-16
+17 0 2 0 0 36 49 64 4.44089209850063e-16
+17 0 2 0 0 36 50 64 4.44089209850063e-16
+17 0 2 0 0 36 51 64 4.44089209850063e-16
+17 0 2 0 0 36 52 64 4.44089209850063e-16
+17 0 2 0 0 36 53 64 4.44089209850063e-16
+17 0 2 0 0 36 54 64 4.44089209850063e-16
+17 0 2 0 0 36 55 64 4.44089209850063e-16
+17 0 2 0 0 36 56 64 4.44089209850063e-16
+17 0 2 0 0 36 57 64 4.44089209850063e-16
+17 0 2 0 0 36 58 64 4.44089209850063e-16
+17 0 2 0 0 36 59 64 4.44089209850063e-16
+17 0 2 0 0 36 60 64 4.44089209850063e-16
+17 0 2 0 0 36 61 64 4.44089209850063e-16
+17 0 2 0 0 36 62 64 4.44089209850063e-16
+17 0 2 0 0 36 63 64 4.44089209850063e-16
+17 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 4.44089209850063e-16
+18 0 2 0 0 36 40 64 4.44089209850063e-16
+18 0 2 0 0 36 41 64 4.44089209850063e-16
+18 0 2 0 0 36 42 64 4.44089209850063e-16
+18 0 2 0 0 36 43 64 4.44089209850063e-16
+18 0 2 0 0 36 44 64 4.44089209850063e-16
+18 0 2 0 0 36 45 64 4.44089209850063e-16
+18 0 2 0 0 36 46 64 4.44089209850063e-16
+18 0 2 0 0 36 47 64 4.44089209850063e-16
+18 0 2 0 0 36 48 64 4.44089209850063e-16
+18 0 2 0 0 36 49 64 4.44089209850063e-16
+18 0 2 0 0 36 50 64 4.44089209850063e-16
+18 0 2 0 0 36 51 64 4.44089209850063e-16
+18 0 2 0 0 36 52 64 4.44089209850063e-16
+18 0 2 0 0 36 53 64 4.44089209850063e-16
+18 0 2 0 0 36 54 64 4.44089209850063e-16
+18 0 2 0 0 36 55 64 4.44089209850063e-16
+18 0 2 0 0 36 56 64 4.44089209850063e-16
+18 0 2 0 0 36 57 64 4.44089209850063e-16
+18 0 2 0 0 36 58 64 4.44089209850063e-16
+18 0 2 0 0 36 59 64 4.44089209850063e-16
+18 0 2 0 0 36 60 64 4.44089209850063e-16
+18 0 2 0 0 36 61 64 4.44089209850063e-16
+18 0 2 0 0 36 62 64 4.44089209850063e-16
+18 0 2 0 0 36 63 64 4.44089209850063e-16
+18 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 4.44089209850063e-16
+18 0 1 0 0 36 28 64 4.44089209850063e-16
+18 0 1 0 0 36 30 64 4.44089209850063e-16
+18 0 1 0 0 36 32 64 4.44089209850063e-16
+18 0 1 0 0 36 34 64 4.44089209850063e-16
+18 0 1 0 0 36 36 64 4.44089209850063e-16
+18 0 1 0 0 36 38 64 4.44089209850063e-16
+18 0 1 0 0 36 40 64 4.44089209850063e-16
+18 0 1 0 0 36 42 64 4.44089209850063e-16
+18 0 1 0 0 36 44 64 4.44089209850063e-16
+18 0 1 0 0 36 46 64 4.44089209850063e-16
+18 0 1 0 0 36 48 64 4.44089209850063e-16
+18 0 1 0 0 36 50 64 4.44089209850063e-16
+18 0 1 0 0 36 52 64 4.44089209850063e-16
+18 0 1 0 0 36 54 64 4.44089209850063e-16
+18 0 1 0 0 36 56 64 4.44089209850063e-16
+18 0 1 0 0 36 58 64 4.44089209850063e-16
+18 0 1 0 0 36 60 64 4.44089209850063e-16
+18 0 1 0 0 36 62 64 4.44089209850063e-16
+18 0 1 0 0 36 64 64 4.44089209850063e-16
+18 0 1 0 0 36 66 64 4.44089209850063e-16
+18 0 1 0 0 36 68 64 4.44089209850063e-16
+18 0 1 0 0 36 70 64 4.44089209850063e-16
+18 0 1 0 0 36 72 64 4.44089209850063e-16
+18 0 1 0 0 36 74 64 4.44089209850063e-16
+18 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 4.44089209850063e-16
+19 0 2 0 0 36 40 64 4.44089209850063e-16
+19 0 2 0 0 36 41 64 4.44089209850063e-16
+19 0 2 0 0 36 42 64 4.44089209850063e-16
+19 0 2 0 0 36 43 64 4.44089209850063e-16
+19 0 2 0 0 36 44 64 4.44089209850063e-16
+19 0 2 0 0 36 45 64 4.44089209850063e-16
+19 0 2 0 0 36 46 64 4.44089209850063e-16
+19 0 2 0 0 36 47 64 4.44089209850063e-16
+19 0 2 0 0 36 48 64 4.44089209850063e-16
+19 0 2 0 0 36 49 64 4.44089209850063e-16
+19 0 2 0 0 36 50 64 4.44089209850063e-16
+19 0 2 0 0 36 51 64 4.44089209850063e-16
+19 0 2 0 0 36 52 64 4.44089209850063e-16
+19 0 2 0 0 36 53 64 4.44089209850063e-16
+19 0 2 0 0 36 54 64 4.44089209850063e-16
+19 0 2 0 0 36 55 64 4.44089209850063e-16
+19 0 2 0 0 36 56 64 4.44089209850063e-16
+19 0 2 0 0 36 57 64 4.44089209850063e-16
+19 0 2 0 0 36 58 64 4.44089209850063e-16
+19 0 2 0 0 36 59 64 4.44089209850063e-16
+19 0 2 0 0 36 60 64 4.44089209850063e-16
+19 0 2 0 0 36 61 64 4.44089209850063e-16
+19 0 2 0 0 36 62 64 4.44089209850063e-16
+19 0 2 0 0 36 63 64 4.44089209850063e-16
+19 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 4.44089209850063e-16
+20 0 2 0 0 36 40 64 4.44089209850063e-16
+20 0 2 0 0 36 41 64 4.44089209850063e-16
+20 0 2 0 0 36 42 64 4.44089209850063e-16
+20 0 2 0 0 36 43 64 4.44089209850063e-16
+20 0 2 0 0 36 44 64 4.44089209850063e-16
+20 0 2 0 0 36 45 64 4.44089209850063e-16
+20 0 2 0 0 36 46 64 4.44089209850063e-16
+20 0 2 0 0 36 47 64 4.44089209850063e-16
+20 0 2 0 0 36 48 64 4.44089209850063e-16
+20 0 2 0 0 36 49 64 4.44089209850063e-16
+20 0 2 0 0 36 50 64 4.44089209850063e-16
+20 0 2 0 0 36 51 64 4.44089209850063e-16
+20 0 2 0 0 36 52 64 4.44089209850063e-16
+20 0 2 0 0 36 53 64 4.44089209850063e-16
+20 0 2 0 0 36 54 64 4.44089209850063e-16
+20 0 2 0 0 36 55 64 4.44089209850063e-16
+20 0 2 0 0 36 56 64 4.44089209850063e-16
+20 0 2 0 0 36 57 64 4.44089209850063e-16
+20 0 2 0 0 36 58 64 4.44089209850063e-16
+20 0 2 0 0 36 59 64 4.44089209850063e-16
+20 0 2 0 0 36 60 64 4.44089209850063e-16
+20 0 2 0 0 36 61 64 4.44089209850063e-16
+20 0 2 0 0 36 62 64 4.44089209850063e-16
+20 0 2 0 0 36 63 64 4.44089209850063e-16
+20 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 4.44089209850063e-16
+20 0 1 0 0 36 28 64 4.44089209850063e-16
+20 0 1 0 0 36 30 64 4.44089209850063e-16
+20 0 1 0 0 36 32 64 4.44089209850063e-16
+20 0 1 0 0 36 34 64 4.44089209850063e-16
+20 0 1 0 0 36 36 64 4.44089209850063e-16
+20 0 1 0 0 36 38 64 4.44089209850063e-16
+20 0 1 0 0 36 40 64 4.44089209850063e-16
+20 0 1 0 0 36 42 64 4.44089209850063e-16
+20 0 1 0 0 36 44 64 4.44089209850063e-16
+20 0 1 0 0 36 46 64 4.44089209850063e-16
+20 0 1 0 0 36 48 64 4.44089209850063e-16
+20 0 1 0 0 36 50 64 4.44089209850063e-16
+20 0 1 0 0 36 52 64 4.44089209850063e-16
+20 0 1 0 0 36 54 64 4.44089209850063e-16
+20 0 1 0 0 36 56 64 4.44089209850063e-16
+20 0 1 0 0 36 58 64 4.44089209850063e-16
+20 0 1 0 0 36 60 64 4.44089209850063e-16
+20 0 1 0 0 36 62 64 4.44089209850063e-16
+20 0 1 0 0 36 64 64 4.44089209850063e-16
+20 0 1 0 0 36 66 64 4.44089209850063e-16
+20 0 1 0 0 36 68 64 4.44089209850063e-16
+20 0 1 0 0 36 70 64 4.44089209850063e-16
+20 0 1 0 0 36 72 64 4.44089209850063e-16
+20 0 1 0 0 36 74 64 4.44089209850063e-16
+20 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 4.44089209850063e-16
+20 0 0 0 0 36 4 64 4.44089209850063e-16
+20 0 0 0 0 36 8 64 4.44089209850063e-16
+20 0 0 0 0 36 12 64 4.44089209850063e-16
+20 0 0 0 0 36 16 64 4.44089209850063e-16
+20 0 0 0 0 36 20 64 4.44089209850063e-16
+20 0 0 0 0 36 24 64 4.44089209850063e-16
+20 0 0 0 0 36 28 64 4.44089209850063e-16
+20 0 0 0 0 36 32 64 4.44089209850063e-16
+20 0 0 0 0 36 36 64 4.44089209850063e-16
+20 0 0 0 0 36 40 64 4.44089209850063e-16
+20 0 0 0 0 36 44 64 4.44089209850063e-16
+20 0 0 0 0 36 48 64 4.44089209850063e-16
+20 0 0 0 0 36 52 64 4.44089209850063e-16
+20 0 0 0 0 36 56 64 4.44089209850063e-16
+20 0 0 0 0 36 60 64 4.44089209850063e-16
+20 0 0 0 0 36 64 64 4.44089209850063e-16
+20 0 0 0 0 36 68 64 4.44089209850063e-16
+20 0 0 0 0 36 72 64 4.44089209850063e-16
+20 0 0 0 0 36 76 64 4.44089209850063e-16
+20 0 0 0 0 36 80 64 4.44089209850063e-16
+20 0 0 0 0 36 84 64 4.44089209850063e-16
+20 0 0 0 0 36 88 64 4.44089209850063e-16
+20 0 0 0 0 36 92 64 4.44089209850063e-16
+20 0 0 0 0 36 96 64 4.44089209850063e-16
+20 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 4.44089209850063e-16
+21 0 2 0 0 36 40 64 4.44089209850063e-16
+21 0 2 0 0 36 41 64 4.44089209850063e-16
+21 0 2 0 0 36 42 64 4.44089209850063e-16
+21 0 2 0 0 36 43 64 4.44089209850063e-16
+21 0 2 0 0 36 44 64 4.44089209850063e-16
+21 0 2 0 0 36 45 64 4.44089209850063e-16
+21 0 2 0 0 36 46 64 4.44089209850063e-16
+21 0 2 0 0 36 47 64 4.44089209850063e-16
+21 0 2 0 0 36 48 64 4.44089209850063e-16
+21 0 2 0 0 36 49 64 4.44089209850063e-16
+21 0 2 0 0 36 50 64 4.44089209850063e-16
+21 0 2 0 0 36 51 64 4.44089209850063e-16
+21 0 2 0 0 36 52 64 4.44089209850063e-16
+21 0 2 0 0 36 53 64 4.44089209850063e-16
+21 0 2 0 0 36 54 64 4.44089209850063e-16
+21 0 2 0 0 36 55 64 4.44089209850063e-16
+21 0 2 0 0 36 56 64 4.44089209850063e-16
+21 0 2 0 0 36 57 64 4.44089209850063e-16
+21 0 2 0 0 36 58 64 4.44089209850063e-16
+21 0 2 0 0 36 59 64 4.44089209850063e-16
+21 0 2 0 0 36 60 64 4.44089209850063e-16
+21 0 2 0 0 36 61 64 4.44089209850063e-16
+21 0 2 0 0 36 62 64 4.44089209850063e-16
+21 0 2 0 0 36 63 64 4.44089209850063e-16
+21 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 4.44089209850063e-16
+22 0 2 0 0 36 40 64 4.44089209850063e-16
+22 0 2 0 0 36 41 64 4.44089209850063e-16
+22 0 2 0 0 36 42 64 4.44089209850063e-16
+22 0 2 0 0 36 43 64 4.44089209850063e-16
+22 0 2 0 0 36 44 64 4.44089209850063e-16
+22 0 2 0 0 36 45 64 4.44089209850063e-16
+22 0 2 0 0 36 46 64 4.44089209850063e-16
+22 0 2 0 0 36 47 64 4.44089209850063e-16
+22 0 2 0 0 36 48 64 4.44089209850063e-16
+22 0 2 0 0 36 49 64 4.44089209850063e-16
+22 0 2 0 0 36 50 64 4.44089209850063e-16
+22 0 2 0 0 36 51 64 4.44089209850063e-16
+22 0 2 0 0 36 52 64 4.44089209850063e-16
+22 0 2 0 0 36 53 64 4.44089209850063e-16
+22 0 2 0 0 36 54 64 4.44089209850063e-16
+22 0 2 0 0 36 55 64 4.44089209850063e-16
+22 0 2 0 0 36 56 64 4.44089209850063e-16
+22 0 2 0 0 36 57 64 4.44089209850063e-16
+22 0 2 0 0 36 58 64 4.44089209850063e-16
+22 0 2 0 0 36 59 64 4.44089209850063e-16
+22 0 2 0 0 36 60 64 4.44089209850063e-16
+22 0 2 0 0 36 61 64 4.44089209850063e-16
+22 0 2 0 0 36 62 64 4.44089209850063e-16
+22 0 2 0 0 36 63 64 4.44089209850063e-16
+22 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 4.44089209850063e-16
+22 0 1 0 0 36 28 64 4.44089209850063e-16
+22 0 1 0 0 36 30 64 4.44089209850063e-16
+22 0 1 0 0 36 32 64 4.44089209850063e-16
+22 0 1 0 0 36 34 64 4.44089209850063e-16
+22 0 1 0 0 36 36 64 4.44089209850063e-16
+22 0 1 0 0 36 38 64 4.44089209850063e-16
+22 0 1 0 0 36 40 64 4.44089209850063e-16
+22 0 1 0 0 36 42 64 4.44089209850063e-16
+22 0 1 0 0 36 44 64 4.44089209850063e-16
+22 0 1 0 0 36 46 64 4.44089209850063e-16
+22 0 1 0 0 36 48 64 4.44089209850063e-16
+22 0 1 0 0 36 50 64 4.44089209850063e-16
+22 0 1 0 0 36 52 64 4.44089209850063e-16
+22 0 1 0 0 36 54 64 4.44089209850063e-16
+22 0 1 0 0 36 56 64 4.44089209850063e-16
+22 0 1 0 0 36 58 64 4.44089209850063e-16
+22 0 1 0 0 36 60 64 4.44089209850063e-16
+22 0 1 0 0 36 62 64 4.44089209850063e-16
+22 0 1 0 0 36 64 64 4.44089209850063e-16
+22 0 1 0 0 36 66 64 4.44089209850063e-16
+22 0 1 0 0 36 68 64 4.44089209850063e-16
+22 0 1 0 0 36 70 64 4.44089209850063e-16
+22 0 1 0 0 36 72 64 4.44089209850063e-16
+22 0 1 0 0 36 74 64 4.44089209850063e-16
+22 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 4.44089209850063e-16
+23 0 2 0 0 36 40 64 4.44089209850063e-16
+23 0 2 0 0 36 41 64 4.44089209850063e-16
+23 0 2 0 0 36 42 64 4.44089209850063e-16
+23 0 2 0 0 36 43 64 4.44089209850063e-16
+23 0 2 0 0 36 44 64 4.44089209850063e-16
+23 0 2 0 0 36 45 64 4.44089209850063e-16
+23 0 2 0 0 36 46 64 4.44089209850063e-16
+23 0 2 0 0 36 47 64 4.44089209850063e-16
+23 0 2 0 0 36 48 64 4.44089209850063e-16
+23 0 2 0 0 36 49 64 4.44089209850063e-16
+23 0 2 0 0 36 50 64 4.44089209850063e-16
+23 0 2 0 0 36 51 64 4.44089209850063e-16
+23 0 2 0 0 36 52 64 4.44089209850063e-16
+23 0 2 0 0 36 53 64 4.44089209850063e-16
+23 0 2 0 0 36 54 64 4.44089209850063e-16
+23 0 2 0 0 36 55 64 4.44089209850063e-16
+23 0 2 0 0 36 56 64 4.44089209850063e-16
+23 0 2 0 0 36 57 64 4.44089209850063e-16
+23 0 2 0 0 36 58 64 4.44089209850063e-16
+23 0 2 0 0 36 59 64 4.44089209850063e-16
+23 0 2 0 0 36 60 64 4.44089209850063e-16
+23 0 2 0 0 36 61 64 4.44089209850063e-16
+23 0 2 0 0 36 62 64 4.44089209850063e-16
+23 0 2 0 0 36 63 64 4.44089209850063e-16
+23 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 4.44089209850063e-16
+24 0 2 0 0 36 40 64 4.44089209850063e-16
+24 0 2 0 0 36 41 64 4.44089209850063e-16
+24 0 2 0 0 36 42 64 4.44089209850063e-16
+24 0 2 0 0 36 43 64 4.44089209850063e-16
+24 0 2 0 0 36 44 64 4.44089209850063e-16
+24 0 2 0 0 36 45 64 4.44089209850063e-16
+24 0 2 0 0 36 46 64 4.44089209850063e-16
+24 0 2 0 0 36 47 64 4.44089209850063e-16
+24 0 2 0 0 36 48 64 4.44089209850063e-16
+24 0 2 0 0 36 49 64 4.44089209850063e-16
+24 0 2 0 0 36 50 64 4.44089209850063e-16
+24 0 2 0 0 36 51 64 4.44089209850063e-16
+24 0 2 0 0 36 52 64 4.44089209850063e-16
+24 0 2 0 0 36 53 64 4.44089209850063e-16
+24 0 2 0 0 36 54 64 4.44089209850063e-16
+24 0 2 0 0 36 55 64 4.44089209850063e-16
+24 0 2 0 0 36 56 64 4.44089209850063e-16
+24 0 2 0 0 36 57 64 4.44089209850063e-16
+24 0 2 0 0 36 58 64 4.44089209850063e-16
+24 0 2 0 0 36 59 64 4.44089209850063e-16
+24 0 2 0 0 36 60 64 4.44089209850063e-16
+24 0 2 0 0 36 61 64 4.44089209850063e-16
+24 0 2 0 0 36 62 64 4.44089209850063e-16
+24 0 2 0 0 36 63 64 4.44089209850063e-16
+24 0 2 0 0 36 64 64 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 4.44089209850063e-16
+24 0 1 0 0 36 28 64 4.44089209850063e-16
+24 0 1 0 0 36 30 64 4.44089209850063e-16
+24 0 1 0 0 36 32 64 4.44089209850063e-16
+24 0 1 0 0 36 34 64 4.44089209850063e-16
+24 0 1 0 0 36 36 64 4.44089209850063e-16
+24 0 1 0 0 36 38 64 4.44089209850063e-16
+24 0 1 0 0 36 40 64 4.44089209850063e-16
+24 0 1 0 0 36 42 64 4.44089209850063e-16
+24 0 1 0 0 36 44 64 4.44089209850063e-16
+24 0 1 0 0 36 46 64 4.44089209850063e-16
+24 0 1 0 0 36 48 64 4.44089209850063e-16
+24 0 1 0 0 36 50 64 4.44089209850063e-16
+24 0 1 0 0 36 52 64 4.44089209850063e-16
+24 0 1 0 0 36 54 64 4.44089209850063e-16
+24 0 1 0 0 36 56 64 4.44089209850063e-16
+24 0 1 0 0 36 58 64 4.44089209850063e-16
+24 0 1 0 0 36 60 64 4.44089209850063e-16
+24 0 1 0 0 36 62 64 4.44089209850063e-16
+24 0 1 0 0 36 64 64 4.44089209850063e-16
+24 0 1 0 0 36 66 64 4.44089209850063e-16
+24 0 1 0 0 36 68 64 4.44089209850063e-16
+24 0 1 0 0 36 70 64 4.44089209850063e-16
+24 0 1 0 0 36 72 64 4.44089209850063e-16
+24 0 1 0 0 36 74 64 4.44089209850063e-16
+24 0 1 0 0 36 76 64 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 4.44089209850063e-16
+24 0 0 0 0 36 4 64 4.44089209850063e-16
+24 0 0 0 0 36 8 64 4.44089209850063e-16
+24 0 0 0 0 36 12 64 4.44089209850063e-16
+24 0 0 0 0 36 16 64 4.44089209850063e-16
+24 0 0 0 0 36 20 64 4.44089209850063e-16
+24 0 0 0 0 36 24 64 4.44089209850063e-16
+24 0 0 0 0 36 28 64 4.44089209850063e-16
+24 0 0 0 0 36 32 64 4.44089209850063e-16
+24 0 0 0 0 36 36 64 4.44089209850063e-16
+24 0 0 0 0 36 40 64 4.44089209850063e-16
+24 0 0 0 0 36 44 64 4.44089209850063e-16
+24 0 0 0 0 36 48 64 4.44089209850063e-16
+24 0 0 0 0 36 52 64 4.44089209850063e-16
+24 0 0 0 0 36 56 64 4.44089209850063e-16
+24 0 0 0 0 36 60 64 4.44089209850063e-16
+24 0 0 0 0 36 64 64 4.44089209850063e-16
+24 0 0 0 0 36 68 64 4.44089209850063e-16
+24 0 0 0 0 36 72 64 4.44089209850063e-16
+24 0 0 0 0 36 76 64 4.44089209850063e-16
+24 0 0 0 0 36 80 64 4.44089209850063e-16
+24 0 0 0 0 36 84 64 4.44089209850063e-16
+24 0 0 0 0 36 88 64 4.44089209850063e-16
+24 0 0 0 0 36 92 64 4.44089209850063e-16
+24 0 0 0 0 36 96 64 4.44089209850063e-16
+24 0 0 0 0 36 100 64 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_x.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_x.zl
new file mode 100644
index 000000000..1224f01b3
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_x.zl
@@ -0,0 +1,1757 @@
+# GRID::cart3d_x z (cart3d_x)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 4.44089209850063e-16
+0 0 2 0 0 36 48 52 4.44089209850063e-16
+0 0 2 0 0 36 48 53 4.44089209850063e-16
+0 0 2 0 0 36 48 54 4.44089209850063e-16
+0 0 2 0 0 36 48 55 4.44089209850063e-16
+0 0 2 0 0 36 48 56 4.44089209850063e-16
+0 0 2 0 0 36 48 57 4.44089209850063e-16
+0 0 2 0 0 36 48 58 4.44089209850063e-16
+0 0 2 0 0 36 48 59 4.44089209850063e-16
+0 0 2 0 0 36 48 60 4.44089209850063e-16
+0 0 2 0 0 36 48 61 4.44089209850063e-16
+0 0 2 0 0 36 48 62 4.44089209850063e-16
+0 0 2 0 0 36 48 63 4.44089209850063e-16
+0 0 2 0 0 36 48 64 4.44089209850063e-16
+0 0 2 0 0 36 48 65 4.44089209850063e-16
+0 0 2 0 0 36 48 66 4.44089209850063e-16
+0 0 2 0 0 36 48 67 4.44089209850063e-16
+0 0 2 0 0 36 48 68 4.44089209850063e-16
+0 0 2 0 0 36 48 69 4.44089209850063e-16
+0 0 2 0 0 36 48 70 4.44089209850063e-16
+0 0 2 0 0 36 48 71 4.44089209850063e-16
+0 0 2 0 0 36 48 72 4.44089209850063e-16
+0 0 2 0 0 36 48 73 4.44089209850063e-16
+0 0 2 0 0 36 48 74 4.44089209850063e-16
+0 0 2 0 0 36 48 75 4.44089209850063e-16
+0 0 2 0 0 36 48 76 4.44089209850063e-16
+0 0 2 0 0 36 48 77 4.44089209850063e-16
+0 0 2 0 0 36 48 78 4.44089209850063e-16
+0 0 2 0 0 36 48 79 4.44089209850063e-16
+0 0 2 0 0 36 48 80 4.44089209850063e-16
+0 0 2 0 0 36 48 81 4.44089209850063e-16
+0 0 2 0 0 36 48 82 4.44089209850063e-16
+0 0 2 0 0 36 48 83 4.44089209850063e-16
+0 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 4.44089209850063e-16
+0 0 1 0 0 36 48 36 4.44089209850063e-16
+0 0 1 0 0 36 48 38 4.44089209850063e-16
+0 0 1 0 0 36 48 40 4.44089209850063e-16
+0 0 1 0 0 36 48 42 4.44089209850063e-16
+0 0 1 0 0 36 48 44 4.44089209850063e-16
+0 0 1 0 0 36 48 46 4.44089209850063e-16
+0 0 1 0 0 36 48 48 4.44089209850063e-16
+0 0 1 0 0 36 48 50 4.44089209850063e-16
+0 0 1 0 0 36 48 52 4.44089209850063e-16
+0 0 1 0 0 36 48 54 4.44089209850063e-16
+0 0 1 0 0 36 48 56 4.44089209850063e-16
+0 0 1 0 0 36 48 58 4.44089209850063e-16
+0 0 1 0 0 36 48 60 4.44089209850063e-16
+0 0 1 0 0 36 48 62 4.44089209850063e-16
+0 0 1 0 0 36 48 64 4.44089209850063e-16
+0 0 1 0 0 36 48 66 4.44089209850063e-16
+0 0 1 0 0 36 48 68 4.44089209850063e-16
+0 0 1 0 0 36 48 70 4.44089209850063e-16
+0 0 1 0 0 36 48 72 4.44089209850063e-16
+0 0 1 0 0 36 48 74 4.44089209850063e-16
+0 0 1 0 0 36 48 76 4.44089209850063e-16
+0 0 1 0 0 36 48 78 4.44089209850063e-16
+0 0 1 0 0 36 48 80 4.44089209850063e-16
+0 0 1 0 0 36 48 82 4.44089209850063e-16
+0 0 1 0 0 36 48 84 4.44089209850063e-16
+0 0 1 0 0 36 48 86 4.44089209850063e-16
+0 0 1 0 0 36 48 88 4.44089209850063e-16
+0 0 1 0 0 36 48 90 4.44089209850063e-16
+0 0 1 0 0 36 48 92 4.44089209850063e-16
+0 0 1 0 0 36 48 94 4.44089209850063e-16
+0 0 1 0 0 36 48 96 4.44089209850063e-16
+0 0 1 0 0 36 48 98 4.44089209850063e-16
+0 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 4.44089209850063e-16
+0 0 0 0 0 36 48 4 4.44089209850063e-16
+0 0 0 0 0 36 48 8 4.44089209850063e-16
+0 0 0 0 0 36 48 12 4.44089209850063e-16
+0 0 0 0 0 36 48 16 4.44089209850063e-16
+0 0 0 0 0 36 48 20 4.44089209850063e-16
+0 0 0 0 0 36 48 24 4.44089209850063e-16
+0 0 0 0 0 36 48 28 4.44089209850063e-16
+0 0 0 0 0 36 48 32 4.44089209850063e-16
+0 0 0 0 0 36 48 36 4.44089209850063e-16
+0 0 0 0 0 36 48 40 4.44089209850063e-16
+0 0 0 0 0 36 48 44 4.44089209850063e-16
+0 0 0 0 0 36 48 48 4.44089209850063e-16
+0 0 0 0 0 36 48 52 4.44089209850063e-16
+0 0 0 0 0 36 48 56 4.44089209850063e-16
+0 0 0 0 0 36 48 60 4.44089209850063e-16
+0 0 0 0 0 36 48 64 4.44089209850063e-16
+0 0 0 0 0 36 48 68 4.44089209850063e-16
+0 0 0 0 0 36 48 72 4.44089209850063e-16
+0 0 0 0 0 36 48 76 4.44089209850063e-16
+0 0 0 0 0 36 48 80 4.44089209850063e-16
+0 0 0 0 0 36 48 84 4.44089209850063e-16
+0 0 0 0 0 36 48 88 4.44089209850063e-16
+0 0 0 0 0 36 48 92 4.44089209850063e-16
+0 0 0 0 0 36 48 96 4.44089209850063e-16
+0 0 0 0 0 36 48 100 4.44089209850063e-16
+0 0 0 0 0 36 48 104 4.44089209850063e-16
+0 0 0 0 0 36 48 108 4.44089209850063e-16
+0 0 0 0 0 36 48 112 4.44089209850063e-16
+0 0 0 0 0 36 48 116 4.44089209850063e-16
+0 0 0 0 0 36 48 120 4.44089209850063e-16
+0 0 0 0 0 36 48 124 4.44089209850063e-16
+0 0 0 0 0 36 48 128 4.44089209850063e-16
+0 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 4.44089209850063e-16
+1 0 2 0 0 36 48 52 4.44089209850063e-16
+1 0 2 0 0 36 48 53 4.44089209850063e-16
+1 0 2 0 0 36 48 54 4.44089209850063e-16
+1 0 2 0 0 36 48 55 4.44089209850063e-16
+1 0 2 0 0 36 48 56 4.44089209850063e-16
+1 0 2 0 0 36 48 57 4.44089209850063e-16
+1 0 2 0 0 36 48 58 4.44089209850063e-16
+1 0 2 0 0 36 48 59 4.44089209850063e-16
+1 0 2 0 0 36 48 60 4.44089209850063e-16
+1 0 2 0 0 36 48 61 4.44089209850063e-16
+1 0 2 0 0 36 48 62 4.44089209850063e-16
+1 0 2 0 0 36 48 63 4.44089209850063e-16
+1 0 2 0 0 36 48 64 4.44089209850063e-16
+1 0 2 0 0 36 48 65 4.44089209850063e-16
+1 0 2 0 0 36 48 66 4.44089209850063e-16
+1 0 2 0 0 36 48 67 4.44089209850063e-16
+1 0 2 0 0 36 48 68 4.44089209850063e-16
+1 0 2 0 0 36 48 69 4.44089209850063e-16
+1 0 2 0 0 36 48 70 4.44089209850063e-16
+1 0 2 0 0 36 48 71 4.44089209850063e-16
+1 0 2 0 0 36 48 72 4.44089209850063e-16
+1 0 2 0 0 36 48 73 4.44089209850063e-16
+1 0 2 0 0 36 48 74 4.44089209850063e-16
+1 0 2 0 0 36 48 75 4.44089209850063e-16
+1 0 2 0 0 36 48 76 4.44089209850063e-16
+1 0 2 0 0 36 48 77 4.44089209850063e-16
+1 0 2 0 0 36 48 78 4.44089209850063e-16
+1 0 2 0 0 36 48 79 4.44089209850063e-16
+1 0 2 0 0 36 48 80 4.44089209850063e-16
+1 0 2 0 0 36 48 81 4.44089209850063e-16
+1 0 2 0 0 36 48 82 4.44089209850063e-16
+1 0 2 0 0 36 48 83 4.44089209850063e-16
+1 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 4.44089209850063e-16
+2 0 2 0 0 36 48 52 4.44089209850063e-16
+2 0 2 0 0 36 48 53 4.44089209850063e-16
+2 0 2 0 0 36 48 54 4.44089209850063e-16
+2 0 2 0 0 36 48 55 4.44089209850063e-16
+2 0 2 0 0 36 48 56 4.44089209850063e-16
+2 0 2 0 0 36 48 57 4.44089209850063e-16
+2 0 2 0 0 36 48 58 4.44089209850063e-16
+2 0 2 0 0 36 48 59 4.44089209850063e-16
+2 0 2 0 0 36 48 60 4.44089209850063e-16
+2 0 2 0 0 36 48 61 4.44089209850063e-16
+2 0 2 0 0 36 48 62 4.44089209850063e-16
+2 0 2 0 0 36 48 63 4.44089209850063e-16
+2 0 2 0 0 36 48 64 4.44089209850063e-16
+2 0 2 0 0 36 48 65 4.44089209850063e-16
+2 0 2 0 0 36 48 66 4.44089209850063e-16
+2 0 2 0 0 36 48 67 4.44089209850063e-16
+2 0 2 0 0 36 48 68 4.44089209850063e-16
+2 0 2 0 0 36 48 69 4.44089209850063e-16
+2 0 2 0 0 36 48 70 4.44089209850063e-16
+2 0 2 0 0 36 48 71 4.44089209850063e-16
+2 0 2 0 0 36 48 72 4.44089209850063e-16
+2 0 2 0 0 36 48 73 4.44089209850063e-16
+2 0 2 0 0 36 48 74 4.44089209850063e-16
+2 0 2 0 0 36 48 75 4.44089209850063e-16
+2 0 2 0 0 36 48 76 4.44089209850063e-16
+2 0 2 0 0 36 48 77 4.44089209850063e-16
+2 0 2 0 0 36 48 78 4.44089209850063e-16
+2 0 2 0 0 36 48 79 4.44089209850063e-16
+2 0 2 0 0 36 48 80 4.44089209850063e-16
+2 0 2 0 0 36 48 81 4.44089209850063e-16
+2 0 2 0 0 36 48 82 4.44089209850063e-16
+2 0 2 0 0 36 48 83 4.44089209850063e-16
+2 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 4.44089209850063e-16
+2 0 1 0 0 36 48 36 4.44089209850063e-16
+2 0 1 0 0 36 48 38 4.44089209850063e-16
+2 0 1 0 0 36 48 40 4.44089209850063e-16
+2 0 1 0 0 36 48 42 4.44089209850063e-16
+2 0 1 0 0 36 48 44 4.44089209850063e-16
+2 0 1 0 0 36 48 46 4.44089209850063e-16
+2 0 1 0 0 36 48 48 4.44089209850063e-16
+2 0 1 0 0 36 48 50 4.44089209850063e-16
+2 0 1 0 0 36 48 52 4.44089209850063e-16
+2 0 1 0 0 36 48 54 4.44089209850063e-16
+2 0 1 0 0 36 48 56 4.44089209850063e-16
+2 0 1 0 0 36 48 58 4.44089209850063e-16
+2 0 1 0 0 36 48 60 4.44089209850063e-16
+2 0 1 0 0 36 48 62 4.44089209850063e-16
+2 0 1 0 0 36 48 64 4.44089209850063e-16
+2 0 1 0 0 36 48 66 4.44089209850063e-16
+2 0 1 0 0 36 48 68 4.44089209850063e-16
+2 0 1 0 0 36 48 70 4.44089209850063e-16
+2 0 1 0 0 36 48 72 4.44089209850063e-16
+2 0 1 0 0 36 48 74 4.44089209850063e-16
+2 0 1 0 0 36 48 76 4.44089209850063e-16
+2 0 1 0 0 36 48 78 4.44089209850063e-16
+2 0 1 0 0 36 48 80 4.44089209850063e-16
+2 0 1 0 0 36 48 82 4.44089209850063e-16
+2 0 1 0 0 36 48 84 4.44089209850063e-16
+2 0 1 0 0 36 48 86 4.44089209850063e-16
+2 0 1 0 0 36 48 88 4.44089209850063e-16
+2 0 1 0 0 36 48 90 4.44089209850063e-16
+2 0 1 0 0 36 48 92 4.44089209850063e-16
+2 0 1 0 0 36 48 94 4.44089209850063e-16
+2 0 1 0 0 36 48 96 4.44089209850063e-16
+2 0 1 0 0 36 48 98 4.44089209850063e-16
+2 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 4.44089209850063e-16
+3 0 2 0 0 36 48 52 4.44089209850063e-16
+3 0 2 0 0 36 48 53 4.44089209850063e-16
+3 0 2 0 0 36 48 54 4.44089209850063e-16
+3 0 2 0 0 36 48 55 4.44089209850063e-16
+3 0 2 0 0 36 48 56 4.44089209850063e-16
+3 0 2 0 0 36 48 57 4.44089209850063e-16
+3 0 2 0 0 36 48 58 4.44089209850063e-16
+3 0 2 0 0 36 48 59 4.44089209850063e-16
+3 0 2 0 0 36 48 60 4.44089209850063e-16
+3 0 2 0 0 36 48 61 4.44089209850063e-16
+3 0 2 0 0 36 48 62 4.44089209850063e-16
+3 0 2 0 0 36 48 63 4.44089209850063e-16
+3 0 2 0 0 36 48 64 4.44089209850063e-16
+3 0 2 0 0 36 48 65 4.44089209850063e-16
+3 0 2 0 0 36 48 66 4.44089209850063e-16
+3 0 2 0 0 36 48 67 4.44089209850063e-16
+3 0 2 0 0 36 48 68 4.44089209850063e-16
+3 0 2 0 0 36 48 69 4.44089209850063e-16
+3 0 2 0 0 36 48 70 4.44089209850063e-16
+3 0 2 0 0 36 48 71 4.44089209850063e-16
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+3 0 2 0 0 36 48 73 4.44089209850063e-16
+3 0 2 0 0 36 48 74 4.44089209850063e-16
+3 0 2 0 0 36 48 75 4.44089209850063e-16
+3 0 2 0 0 36 48 76 4.44089209850063e-16
+3 0 2 0 0 36 48 77 4.44089209850063e-16
+3 0 2 0 0 36 48 78 4.44089209850063e-16
+3 0 2 0 0 36 48 79 4.44089209850063e-16
+3 0 2 0 0 36 48 80 4.44089209850063e-16
+3 0 2 0 0 36 48 81 4.44089209850063e-16
+3 0 2 0 0 36 48 82 4.44089209850063e-16
+3 0 2 0 0 36 48 83 4.44089209850063e-16
+3 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 4.44089209850063e-16
+4 0 2 0 0 36 48 52 4.44089209850063e-16
+4 0 2 0 0 36 48 53 4.44089209850063e-16
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+4 0 2 0 0 36 48 63 4.44089209850063e-16
+4 0 2 0 0 36 48 64 4.44089209850063e-16
+4 0 2 0 0 36 48 65 4.44089209850063e-16
+4 0 2 0 0 36 48 66 4.44089209850063e-16
+4 0 2 0 0 36 48 67 4.44089209850063e-16
+4 0 2 0 0 36 48 68 4.44089209850063e-16
+4 0 2 0 0 36 48 69 4.44089209850063e-16
+4 0 2 0 0 36 48 70 4.44089209850063e-16
+4 0 2 0 0 36 48 71 4.44089209850063e-16
+4 0 2 0 0 36 48 72 4.44089209850063e-16
+4 0 2 0 0 36 48 73 4.44089209850063e-16
+4 0 2 0 0 36 48 74 4.44089209850063e-16
+4 0 2 0 0 36 48 75 4.44089209850063e-16
+4 0 2 0 0 36 48 76 4.44089209850063e-16
+4 0 2 0 0 36 48 77 4.44089209850063e-16
+4 0 2 0 0 36 48 78 4.44089209850063e-16
+4 0 2 0 0 36 48 79 4.44089209850063e-16
+4 0 2 0 0 36 48 80 4.44089209850063e-16
+4 0 2 0 0 36 48 81 4.44089209850063e-16
+4 0 2 0 0 36 48 82 4.44089209850063e-16
+4 0 2 0 0 36 48 83 4.44089209850063e-16
+4 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 4.44089209850063e-16
+4 0 1 0 0 36 48 36 4.44089209850063e-16
+4 0 1 0 0 36 48 38 4.44089209850063e-16
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+4 0 1 0 0 36 48 54 4.44089209850063e-16
+4 0 1 0 0 36 48 56 4.44089209850063e-16
+4 0 1 0 0 36 48 58 4.44089209850063e-16
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+4 0 1 0 0 36 48 62 4.44089209850063e-16
+4 0 1 0 0 36 48 64 4.44089209850063e-16
+4 0 1 0 0 36 48 66 4.44089209850063e-16
+4 0 1 0 0 36 48 68 4.44089209850063e-16
+4 0 1 0 0 36 48 70 4.44089209850063e-16
+4 0 1 0 0 36 48 72 4.44089209850063e-16
+4 0 1 0 0 36 48 74 4.44089209850063e-16
+4 0 1 0 0 36 48 76 4.44089209850063e-16
+4 0 1 0 0 36 48 78 4.44089209850063e-16
+4 0 1 0 0 36 48 80 4.44089209850063e-16
+4 0 1 0 0 36 48 82 4.44089209850063e-16
+4 0 1 0 0 36 48 84 4.44089209850063e-16
+4 0 1 0 0 36 48 86 4.44089209850063e-16
+4 0 1 0 0 36 48 88 4.44089209850063e-16
+4 0 1 0 0 36 48 90 4.44089209850063e-16
+4 0 1 0 0 36 48 92 4.44089209850063e-16
+4 0 1 0 0 36 48 94 4.44089209850063e-16
+4 0 1 0 0 36 48 96 4.44089209850063e-16
+4 0 1 0 0 36 48 98 4.44089209850063e-16
+4 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 4.44089209850063e-16
+4 0 0 0 0 36 48 4 4.44089209850063e-16
+4 0 0 0 0 36 48 8 4.44089209850063e-16
+4 0 0 0 0 36 48 12 4.44089209850063e-16
+4 0 0 0 0 36 48 16 4.44089209850063e-16
+4 0 0 0 0 36 48 20 4.44089209850063e-16
+4 0 0 0 0 36 48 24 4.44089209850063e-16
+4 0 0 0 0 36 48 28 4.44089209850063e-16
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+4 0 0 0 0 36 48 36 4.44089209850063e-16
+4 0 0 0 0 36 48 40 4.44089209850063e-16
+4 0 0 0 0 36 48 44 4.44089209850063e-16
+4 0 0 0 0 36 48 48 4.44089209850063e-16
+4 0 0 0 0 36 48 52 4.44089209850063e-16
+4 0 0 0 0 36 48 56 4.44089209850063e-16
+4 0 0 0 0 36 48 60 4.44089209850063e-16
+4 0 0 0 0 36 48 64 4.44089209850063e-16
+4 0 0 0 0 36 48 68 4.44089209850063e-16
+4 0 0 0 0 36 48 72 4.44089209850063e-16
+4 0 0 0 0 36 48 76 4.44089209850063e-16
+4 0 0 0 0 36 48 80 4.44089209850063e-16
+4 0 0 0 0 36 48 84 4.44089209850063e-16
+4 0 0 0 0 36 48 88 4.44089209850063e-16
+4 0 0 0 0 36 48 92 4.44089209850063e-16
+4 0 0 0 0 36 48 96 4.44089209850063e-16
+4 0 0 0 0 36 48 100 4.44089209850063e-16
+4 0 0 0 0 36 48 104 4.44089209850063e-16
+4 0 0 0 0 36 48 108 4.44089209850063e-16
+4 0 0 0 0 36 48 112 4.44089209850063e-16
+4 0 0 0 0 36 48 116 4.44089209850063e-16
+4 0 0 0 0 36 48 120 4.44089209850063e-16
+4 0 0 0 0 36 48 124 4.44089209850063e-16
+4 0 0 0 0 36 48 128 4.44089209850063e-16
+4 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 4.44089209850063e-16
+5 0 2 0 0 36 48 52 4.44089209850063e-16
+5 0 2 0 0 36 48 53 4.44089209850063e-16
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+5 0 2 0 0 36 48 65 4.44089209850063e-16
+5 0 2 0 0 36 48 66 4.44089209850063e-16
+5 0 2 0 0 36 48 67 4.44089209850063e-16
+5 0 2 0 0 36 48 68 4.44089209850063e-16
+5 0 2 0 0 36 48 69 4.44089209850063e-16
+5 0 2 0 0 36 48 70 4.44089209850063e-16
+5 0 2 0 0 36 48 71 4.44089209850063e-16
+5 0 2 0 0 36 48 72 4.44089209850063e-16
+5 0 2 0 0 36 48 73 4.44089209850063e-16
+5 0 2 0 0 36 48 74 4.44089209850063e-16
+5 0 2 0 0 36 48 75 4.44089209850063e-16
+5 0 2 0 0 36 48 76 4.44089209850063e-16
+5 0 2 0 0 36 48 77 4.44089209850063e-16
+5 0 2 0 0 36 48 78 4.44089209850063e-16
+5 0 2 0 0 36 48 79 4.44089209850063e-16
+5 0 2 0 0 36 48 80 4.44089209850063e-16
+5 0 2 0 0 36 48 81 4.44089209850063e-16
+5 0 2 0 0 36 48 82 4.44089209850063e-16
+5 0 2 0 0 36 48 83 4.44089209850063e-16
+5 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 4.44089209850063e-16
+6 0 2 0 0 36 48 52 4.44089209850063e-16
+6 0 2 0 0 36 48 53 4.44089209850063e-16
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+6 0 2 0 0 36 48 57 4.44089209850063e-16
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+6 0 2 0 0 36 48 65 4.44089209850063e-16
+6 0 2 0 0 36 48 66 4.44089209850063e-16
+6 0 2 0 0 36 48 67 4.44089209850063e-16
+6 0 2 0 0 36 48 68 4.44089209850063e-16
+6 0 2 0 0 36 48 69 4.44089209850063e-16
+6 0 2 0 0 36 48 70 4.44089209850063e-16
+6 0 2 0 0 36 48 71 4.44089209850063e-16
+6 0 2 0 0 36 48 72 4.44089209850063e-16
+6 0 2 0 0 36 48 73 4.44089209850063e-16
+6 0 2 0 0 36 48 74 4.44089209850063e-16
+6 0 2 0 0 36 48 75 4.44089209850063e-16
+6 0 2 0 0 36 48 76 4.44089209850063e-16
+6 0 2 0 0 36 48 77 4.44089209850063e-16
+6 0 2 0 0 36 48 78 4.44089209850063e-16
+6 0 2 0 0 36 48 79 4.44089209850063e-16
+6 0 2 0 0 36 48 80 4.44089209850063e-16
+6 0 2 0 0 36 48 81 4.44089209850063e-16
+6 0 2 0 0 36 48 82 4.44089209850063e-16
+6 0 2 0 0 36 48 83 4.44089209850063e-16
+6 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 4.44089209850063e-16
+6 0 1 0 0 36 48 36 4.44089209850063e-16
+6 0 1 0 0 36 48 38 4.44089209850063e-16
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+6 0 1 0 0 36 48 64 4.44089209850063e-16
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+6 0 1 0 0 36 48 68 4.44089209850063e-16
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+6 0 1 0 0 36 48 82 4.44089209850063e-16
+6 0 1 0 0 36 48 84 4.44089209850063e-16
+6 0 1 0 0 36 48 86 4.44089209850063e-16
+6 0 1 0 0 36 48 88 4.44089209850063e-16
+6 0 1 0 0 36 48 90 4.44089209850063e-16
+6 0 1 0 0 36 48 92 4.44089209850063e-16
+6 0 1 0 0 36 48 94 4.44089209850063e-16
+6 0 1 0 0 36 48 96 4.44089209850063e-16
+6 0 1 0 0 36 48 98 4.44089209850063e-16
+6 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 4.44089209850063e-16
+7 0 2 0 0 36 48 52 4.44089209850063e-16
+7 0 2 0 0 36 48 53 4.44089209850063e-16
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+7 0 2 0 0 36 48 68 4.44089209850063e-16
+7 0 2 0 0 36 48 69 4.44089209850063e-16
+7 0 2 0 0 36 48 70 4.44089209850063e-16
+7 0 2 0 0 36 48 71 4.44089209850063e-16
+7 0 2 0 0 36 48 72 4.44089209850063e-16
+7 0 2 0 0 36 48 73 4.44089209850063e-16
+7 0 2 0 0 36 48 74 4.44089209850063e-16
+7 0 2 0 0 36 48 75 4.44089209850063e-16
+7 0 2 0 0 36 48 76 4.44089209850063e-16
+7 0 2 0 0 36 48 77 4.44089209850063e-16
+7 0 2 0 0 36 48 78 4.44089209850063e-16
+7 0 2 0 0 36 48 79 4.44089209850063e-16
+7 0 2 0 0 36 48 80 4.44089209850063e-16
+7 0 2 0 0 36 48 81 4.44089209850063e-16
+7 0 2 0 0 36 48 82 4.44089209850063e-16
+7 0 2 0 0 36 48 83 4.44089209850063e-16
+7 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 4.44089209850063e-16
+8 0 2 0 0 36 48 52 4.44089209850063e-16
+8 0 2 0 0 36 48 53 4.44089209850063e-16
+8 0 2 0 0 36 48 54 4.44089209850063e-16
+8 0 2 0 0 36 48 55 4.44089209850063e-16
+8 0 2 0 0 36 48 56 4.44089209850063e-16
+8 0 2 0 0 36 48 57 4.44089209850063e-16
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+8 0 2 0 0 36 48 60 4.44089209850063e-16
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+8 0 2 0 0 36 48 65 4.44089209850063e-16
+8 0 2 0 0 36 48 66 4.44089209850063e-16
+8 0 2 0 0 36 48 67 4.44089209850063e-16
+8 0 2 0 0 36 48 68 4.44089209850063e-16
+8 0 2 0 0 36 48 69 4.44089209850063e-16
+8 0 2 0 0 36 48 70 4.44089209850063e-16
+8 0 2 0 0 36 48 71 4.44089209850063e-16
+8 0 2 0 0 36 48 72 4.44089209850063e-16
+8 0 2 0 0 36 48 73 4.44089209850063e-16
+8 0 2 0 0 36 48 74 4.44089209850063e-16
+8 0 2 0 0 36 48 75 4.44089209850063e-16
+8 0 2 0 0 36 48 76 4.44089209850063e-16
+8 0 2 0 0 36 48 77 4.44089209850063e-16
+8 0 2 0 0 36 48 78 4.44089209850063e-16
+8 0 2 0 0 36 48 79 4.44089209850063e-16
+8 0 2 0 0 36 48 80 4.44089209850063e-16
+8 0 2 0 0 36 48 81 4.44089209850063e-16
+8 0 2 0 0 36 48 82 4.44089209850063e-16
+8 0 2 0 0 36 48 83 4.44089209850063e-16
+8 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 4.44089209850063e-16
+8 0 1 0 0 36 48 36 4.44089209850063e-16
+8 0 1 0 0 36 48 38 4.44089209850063e-16
+8 0 1 0 0 36 48 40 4.44089209850063e-16
+8 0 1 0 0 36 48 42 4.44089209850063e-16
+8 0 1 0 0 36 48 44 4.44089209850063e-16
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+8 0 1 0 0 36 48 68 4.44089209850063e-16
+8 0 1 0 0 36 48 70 4.44089209850063e-16
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+8 0 1 0 0 36 48 78 4.44089209850063e-16
+8 0 1 0 0 36 48 80 4.44089209850063e-16
+8 0 1 0 0 36 48 82 4.44089209850063e-16
+8 0 1 0 0 36 48 84 4.44089209850063e-16
+8 0 1 0 0 36 48 86 4.44089209850063e-16
+8 0 1 0 0 36 48 88 4.44089209850063e-16
+8 0 1 0 0 36 48 90 4.44089209850063e-16
+8 0 1 0 0 36 48 92 4.44089209850063e-16
+8 0 1 0 0 36 48 94 4.44089209850063e-16
+8 0 1 0 0 36 48 96 4.44089209850063e-16
+8 0 1 0 0 36 48 98 4.44089209850063e-16
+8 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 4.44089209850063e-16
+8 0 0 0 0 36 48 4 4.44089209850063e-16
+8 0 0 0 0 36 48 8 4.44089209850063e-16
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+8 0 0 0 0 36 48 88 4.44089209850063e-16
+8 0 0 0 0 36 48 92 4.44089209850063e-16
+8 0 0 0 0 36 48 96 4.44089209850063e-16
+8 0 0 0 0 36 48 100 4.44089209850063e-16
+8 0 0 0 0 36 48 104 4.44089209850063e-16
+8 0 0 0 0 36 48 108 4.44089209850063e-16
+8 0 0 0 0 36 48 112 4.44089209850063e-16
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+8 0 0 0 0 36 48 120 4.44089209850063e-16
+8 0 0 0 0 36 48 124 4.44089209850063e-16
+8 0 0 0 0 36 48 128 4.44089209850063e-16
+8 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 4.44089209850063e-16
+9 0 2 0 0 36 48 52 4.44089209850063e-16
+9 0 2 0 0 36 48 53 4.44089209850063e-16
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+9 0 2 0 0 36 48 65 4.44089209850063e-16
+9 0 2 0 0 36 48 66 4.44089209850063e-16
+9 0 2 0 0 36 48 67 4.44089209850063e-16
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+9 0 2 0 0 36 48 69 4.44089209850063e-16
+9 0 2 0 0 36 48 70 4.44089209850063e-16
+9 0 2 0 0 36 48 71 4.44089209850063e-16
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+9 0 2 0 0 36 48 73 4.44089209850063e-16
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+9 0 2 0 0 36 48 76 4.44089209850063e-16
+9 0 2 0 0 36 48 77 4.44089209850063e-16
+9 0 2 0 0 36 48 78 4.44089209850063e-16
+9 0 2 0 0 36 48 79 4.44089209850063e-16
+9 0 2 0 0 36 48 80 4.44089209850063e-16
+9 0 2 0 0 36 48 81 4.44089209850063e-16
+9 0 2 0 0 36 48 82 4.44089209850063e-16
+9 0 2 0 0 36 48 83 4.44089209850063e-16
+9 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 4.44089209850063e-16
+10 0 2 0 0 36 48 52 4.44089209850063e-16
+10 0 2 0 0 36 48 53 4.44089209850063e-16
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+10 0 2 0 0 36 48 55 4.44089209850063e-16
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+10 0 2 0 0 36 48 57 4.44089209850063e-16
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+10 0 2 0 0 36 48 60 4.44089209850063e-16
+10 0 2 0 0 36 48 61 4.44089209850063e-16
+10 0 2 0 0 36 48 62 4.44089209850063e-16
+10 0 2 0 0 36 48 63 4.44089209850063e-16
+10 0 2 0 0 36 48 64 4.44089209850063e-16
+10 0 2 0 0 36 48 65 4.44089209850063e-16
+10 0 2 0 0 36 48 66 4.44089209850063e-16
+10 0 2 0 0 36 48 67 4.44089209850063e-16
+10 0 2 0 0 36 48 68 4.44089209850063e-16
+10 0 2 0 0 36 48 69 4.44089209850063e-16
+10 0 2 0 0 36 48 70 4.44089209850063e-16
+10 0 2 0 0 36 48 71 4.44089209850063e-16
+10 0 2 0 0 36 48 72 4.44089209850063e-16
+10 0 2 0 0 36 48 73 4.44089209850063e-16
+10 0 2 0 0 36 48 74 4.44089209850063e-16
+10 0 2 0 0 36 48 75 4.44089209850063e-16
+10 0 2 0 0 36 48 76 4.44089209850063e-16
+10 0 2 0 0 36 48 77 4.44089209850063e-16
+10 0 2 0 0 36 48 78 4.44089209850063e-16
+10 0 2 0 0 36 48 79 4.44089209850063e-16
+10 0 2 0 0 36 48 80 4.44089209850063e-16
+10 0 2 0 0 36 48 81 4.44089209850063e-16
+10 0 2 0 0 36 48 82 4.44089209850063e-16
+10 0 2 0 0 36 48 83 4.44089209850063e-16
+10 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 4.44089209850063e-16
+10 0 1 0 0 36 48 36 4.44089209850063e-16
+10 0 1 0 0 36 48 38 4.44089209850063e-16
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+10 0 1 0 0 36 48 56 4.44089209850063e-16
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+10 0 1 0 0 36 48 62 4.44089209850063e-16
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+10 0 1 0 0 36 48 66 4.44089209850063e-16
+10 0 1 0 0 36 48 68 4.44089209850063e-16
+10 0 1 0 0 36 48 70 4.44089209850063e-16
+10 0 1 0 0 36 48 72 4.44089209850063e-16
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+10 0 1 0 0 36 48 78 4.44089209850063e-16
+10 0 1 0 0 36 48 80 4.44089209850063e-16
+10 0 1 0 0 36 48 82 4.44089209850063e-16
+10 0 1 0 0 36 48 84 4.44089209850063e-16
+10 0 1 0 0 36 48 86 4.44089209850063e-16
+10 0 1 0 0 36 48 88 4.44089209850063e-16
+10 0 1 0 0 36 48 90 4.44089209850063e-16
+10 0 1 0 0 36 48 92 4.44089209850063e-16
+10 0 1 0 0 36 48 94 4.44089209850063e-16
+10 0 1 0 0 36 48 96 4.44089209850063e-16
+10 0 1 0 0 36 48 98 4.44089209850063e-16
+10 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 4.44089209850063e-16
+11 0 2 0 0 36 48 52 4.44089209850063e-16
+11 0 2 0 0 36 48 53 4.44089209850063e-16
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+11 0 2 0 0 36 48 73 4.44089209850063e-16
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+11 0 2 0 0 36 48 77 4.44089209850063e-16
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+11 0 2 0 0 36 48 79 4.44089209850063e-16
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+11 0 2 0 0 36 48 82 4.44089209850063e-16
+11 0 2 0 0 36 48 83 4.44089209850063e-16
+11 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 4.44089209850063e-16
+12 0 2 0 0 36 48 52 4.44089209850063e-16
+12 0 2 0 0 36 48 53 4.44089209850063e-16
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+12 0 2 0 0 36 48 77 4.44089209850063e-16
+12 0 2 0 0 36 48 78 4.44089209850063e-16
+12 0 2 0 0 36 48 79 4.44089209850063e-16
+12 0 2 0 0 36 48 80 4.44089209850063e-16
+12 0 2 0 0 36 48 81 4.44089209850063e-16
+12 0 2 0 0 36 48 82 4.44089209850063e-16
+12 0 2 0 0 36 48 83 4.44089209850063e-16
+12 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 4.44089209850063e-16
+12 0 1 0 0 36 48 36 4.44089209850063e-16
+12 0 1 0 0 36 48 38 4.44089209850063e-16
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+12 0 1 0 0 36 48 86 4.44089209850063e-16
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+12 0 1 0 0 36 48 90 4.44089209850063e-16
+12 0 1 0 0 36 48 92 4.44089209850063e-16
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+12 0 1 0 0 36 48 96 4.44089209850063e-16
+12 0 1 0 0 36 48 98 4.44089209850063e-16
+12 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 4.44089209850063e-16
+12 0 0 0 0 36 48 4 4.44089209850063e-16
+12 0 0 0 0 36 48 8 4.44089209850063e-16
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+12 0 0 0 0 36 48 96 4.44089209850063e-16
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+12 0 0 0 0 36 48 104 4.44089209850063e-16
+12 0 0 0 0 36 48 108 4.44089209850063e-16
+12 0 0 0 0 36 48 112 4.44089209850063e-16
+12 0 0 0 0 36 48 116 4.44089209850063e-16
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+12 0 0 0 0 36 48 124 4.44089209850063e-16
+12 0 0 0 0 36 48 128 4.44089209850063e-16
+12 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 4.44089209850063e-16
+13 0 2 0 0 36 48 52 4.44089209850063e-16
+13 0 2 0 0 36 48 53 4.44089209850063e-16
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+13 0 2 0 0 36 48 77 4.44089209850063e-16
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+13 0 2 0 0 36 48 79 4.44089209850063e-16
+13 0 2 0 0 36 48 80 4.44089209850063e-16
+13 0 2 0 0 36 48 81 4.44089209850063e-16
+13 0 2 0 0 36 48 82 4.44089209850063e-16
+13 0 2 0 0 36 48 83 4.44089209850063e-16
+13 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 4.44089209850063e-16
+14 0 2 0 0 36 48 52 4.44089209850063e-16
+14 0 2 0 0 36 48 53 4.44089209850063e-16
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+14 0 2 0 0 36 48 77 4.44089209850063e-16
+14 0 2 0 0 36 48 78 4.44089209850063e-16
+14 0 2 0 0 36 48 79 4.44089209850063e-16
+14 0 2 0 0 36 48 80 4.44089209850063e-16
+14 0 2 0 0 36 48 81 4.44089209850063e-16
+14 0 2 0 0 36 48 82 4.44089209850063e-16
+14 0 2 0 0 36 48 83 4.44089209850063e-16
+14 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 4.44089209850063e-16
+14 0 1 0 0 36 48 36 4.44089209850063e-16
+14 0 1 0 0 36 48 38 4.44089209850063e-16
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+14 0 1 0 0 36 48 94 4.44089209850063e-16
+14 0 1 0 0 36 48 96 4.44089209850063e-16
+14 0 1 0 0 36 48 98 4.44089209850063e-16
+14 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 4.44089209850063e-16
+15 0 2 0 0 36 48 52 4.44089209850063e-16
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+15 0 2 0 0 36 48 82 4.44089209850063e-16
+15 0 2 0 0 36 48 83 4.44089209850063e-16
+15 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 4.44089209850063e-16
+16 0 2 0 0 36 48 52 4.44089209850063e-16
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+16 0 2 0 0 36 48 69 4.44089209850063e-16
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+16 0 2 0 0 36 48 77 4.44089209850063e-16
+16 0 2 0 0 36 48 78 4.44089209850063e-16
+16 0 2 0 0 36 48 79 4.44089209850063e-16
+16 0 2 0 0 36 48 80 4.44089209850063e-16
+16 0 2 0 0 36 48 81 4.44089209850063e-16
+16 0 2 0 0 36 48 82 4.44089209850063e-16
+16 0 2 0 0 36 48 83 4.44089209850063e-16
+16 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 4.44089209850063e-16
+16 0 1 0 0 36 48 36 4.44089209850063e-16
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+16 0 1 0 0 36 48 90 4.44089209850063e-16
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+16 0 1 0 0 36 48 98 4.44089209850063e-16
+16 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 4.44089209850063e-16
+16 0 0 0 0 36 48 4 4.44089209850063e-16
+16 0 0 0 0 36 48 8 4.44089209850063e-16
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+16 0 0 0 0 36 48 128 4.44089209850063e-16
+16 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 4.44089209850063e-16
+17 0 2 0 0 36 48 52 4.44089209850063e-16
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+17 0 2 0 0 36 48 83 4.44089209850063e-16
+17 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 4.44089209850063e-16
+18 0 2 0 0 36 48 52 4.44089209850063e-16
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+18 0 2 0 0 36 48 77 4.44089209850063e-16
+18 0 2 0 0 36 48 78 4.44089209850063e-16
+18 0 2 0 0 36 48 79 4.44089209850063e-16
+18 0 2 0 0 36 48 80 4.44089209850063e-16
+18 0 2 0 0 36 48 81 4.44089209850063e-16
+18 0 2 0 0 36 48 82 4.44089209850063e-16
+18 0 2 0 0 36 48 83 4.44089209850063e-16
+18 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 4.44089209850063e-16
+18 0 1 0 0 36 48 36 4.44089209850063e-16
+18 0 1 0 0 36 48 38 4.44089209850063e-16
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+18 0 1 0 0 36 48 98 4.44089209850063e-16
+18 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 4.44089209850063e-16
+19 0 2 0 0 36 48 52 4.44089209850063e-16
+19 0 2 0 0 36 48 53 4.44089209850063e-16
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+19 0 2 0 0 36 48 77 4.44089209850063e-16
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+19 0 2 0 0 36 48 79 4.44089209850063e-16
+19 0 2 0 0 36 48 80 4.44089209850063e-16
+19 0 2 0 0 36 48 81 4.44089209850063e-16
+19 0 2 0 0 36 48 82 4.44089209850063e-16
+19 0 2 0 0 36 48 83 4.44089209850063e-16
+19 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 4.44089209850063e-16
+20 0 2 0 0 36 48 52 4.44089209850063e-16
+20 0 2 0 0 36 48 53 4.44089209850063e-16
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+20 0 2 0 0 36 48 68 4.44089209850063e-16
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+20 0 2 0 0 36 48 73 4.44089209850063e-16
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+20 0 2 0 0 36 48 75 4.44089209850063e-16
+20 0 2 0 0 36 48 76 4.44089209850063e-16
+20 0 2 0 0 36 48 77 4.44089209850063e-16
+20 0 2 0 0 36 48 78 4.44089209850063e-16
+20 0 2 0 0 36 48 79 4.44089209850063e-16
+20 0 2 0 0 36 48 80 4.44089209850063e-16
+20 0 2 0 0 36 48 81 4.44089209850063e-16
+20 0 2 0 0 36 48 82 4.44089209850063e-16
+20 0 2 0 0 36 48 83 4.44089209850063e-16
+20 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 4.44089209850063e-16
+20 0 1 0 0 36 48 36 4.44089209850063e-16
+20 0 1 0 0 36 48 38 4.44089209850063e-16
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+20 0 1 0 0 36 48 42 4.44089209850063e-16
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+20 0 1 0 0 36 48 80 4.44089209850063e-16
+20 0 1 0 0 36 48 82 4.44089209850063e-16
+20 0 1 0 0 36 48 84 4.44089209850063e-16
+20 0 1 0 0 36 48 86 4.44089209850063e-16
+20 0 1 0 0 36 48 88 4.44089209850063e-16
+20 0 1 0 0 36 48 90 4.44089209850063e-16
+20 0 1 0 0 36 48 92 4.44089209850063e-16
+20 0 1 0 0 36 48 94 4.44089209850063e-16
+20 0 1 0 0 36 48 96 4.44089209850063e-16
+20 0 1 0 0 36 48 98 4.44089209850063e-16
+20 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 4.44089209850063e-16
+20 0 0 0 0 36 48 4 4.44089209850063e-16
+20 0 0 0 0 36 48 8 4.44089209850063e-16
+20 0 0 0 0 36 48 12 4.44089209850063e-16
+20 0 0 0 0 36 48 16 4.44089209850063e-16
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+20 0 0 0 0 36 48 36 4.44089209850063e-16
+20 0 0 0 0 36 48 40 4.44089209850063e-16
+20 0 0 0 0 36 48 44 4.44089209850063e-16
+20 0 0 0 0 36 48 48 4.44089209850063e-16
+20 0 0 0 0 36 48 52 4.44089209850063e-16
+20 0 0 0 0 36 48 56 4.44089209850063e-16
+20 0 0 0 0 36 48 60 4.44089209850063e-16
+20 0 0 0 0 36 48 64 4.44089209850063e-16
+20 0 0 0 0 36 48 68 4.44089209850063e-16
+20 0 0 0 0 36 48 72 4.44089209850063e-16
+20 0 0 0 0 36 48 76 4.44089209850063e-16
+20 0 0 0 0 36 48 80 4.44089209850063e-16
+20 0 0 0 0 36 48 84 4.44089209850063e-16
+20 0 0 0 0 36 48 88 4.44089209850063e-16
+20 0 0 0 0 36 48 92 4.44089209850063e-16
+20 0 0 0 0 36 48 96 4.44089209850063e-16
+20 0 0 0 0 36 48 100 4.44089209850063e-16
+20 0 0 0 0 36 48 104 4.44089209850063e-16
+20 0 0 0 0 36 48 108 4.44089209850063e-16
+20 0 0 0 0 36 48 112 4.44089209850063e-16
+20 0 0 0 0 36 48 116 4.44089209850063e-16
+20 0 0 0 0 36 48 120 4.44089209850063e-16
+20 0 0 0 0 36 48 124 4.44089209850063e-16
+20 0 0 0 0 36 48 128 4.44089209850063e-16
+20 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 4.44089209850063e-16
+21 0 2 0 0 36 48 52 4.44089209850063e-16
+21 0 2 0 0 36 48 53 4.44089209850063e-16
+21 0 2 0 0 36 48 54 4.44089209850063e-16
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+21 0 2 0 0 36 48 61 4.44089209850063e-16
+21 0 2 0 0 36 48 62 4.44089209850063e-16
+21 0 2 0 0 36 48 63 4.44089209850063e-16
+21 0 2 0 0 36 48 64 4.44089209850063e-16
+21 0 2 0 0 36 48 65 4.44089209850063e-16
+21 0 2 0 0 36 48 66 4.44089209850063e-16
+21 0 2 0 0 36 48 67 4.44089209850063e-16
+21 0 2 0 0 36 48 68 4.44089209850063e-16
+21 0 2 0 0 36 48 69 4.44089209850063e-16
+21 0 2 0 0 36 48 70 4.44089209850063e-16
+21 0 2 0 0 36 48 71 4.44089209850063e-16
+21 0 2 0 0 36 48 72 4.44089209850063e-16
+21 0 2 0 0 36 48 73 4.44089209850063e-16
+21 0 2 0 0 36 48 74 4.44089209850063e-16
+21 0 2 0 0 36 48 75 4.44089209850063e-16
+21 0 2 0 0 36 48 76 4.44089209850063e-16
+21 0 2 0 0 36 48 77 4.44089209850063e-16
+21 0 2 0 0 36 48 78 4.44089209850063e-16
+21 0 2 0 0 36 48 79 4.44089209850063e-16
+21 0 2 0 0 36 48 80 4.44089209850063e-16
+21 0 2 0 0 36 48 81 4.44089209850063e-16
+21 0 2 0 0 36 48 82 4.44089209850063e-16
+21 0 2 0 0 36 48 83 4.44089209850063e-16
+21 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 4.44089209850063e-16
+22 0 2 0 0 36 48 52 4.44089209850063e-16
+22 0 2 0 0 36 48 53 4.44089209850063e-16
+22 0 2 0 0 36 48 54 4.44089209850063e-16
+22 0 2 0 0 36 48 55 4.44089209850063e-16
+22 0 2 0 0 36 48 56 4.44089209850063e-16
+22 0 2 0 0 36 48 57 4.44089209850063e-16
+22 0 2 0 0 36 48 58 4.44089209850063e-16
+22 0 2 0 0 36 48 59 4.44089209850063e-16
+22 0 2 0 0 36 48 60 4.44089209850063e-16
+22 0 2 0 0 36 48 61 4.44089209850063e-16
+22 0 2 0 0 36 48 62 4.44089209850063e-16
+22 0 2 0 0 36 48 63 4.44089209850063e-16
+22 0 2 0 0 36 48 64 4.44089209850063e-16
+22 0 2 0 0 36 48 65 4.44089209850063e-16
+22 0 2 0 0 36 48 66 4.44089209850063e-16
+22 0 2 0 0 36 48 67 4.44089209850063e-16
+22 0 2 0 0 36 48 68 4.44089209850063e-16
+22 0 2 0 0 36 48 69 4.44089209850063e-16
+22 0 2 0 0 36 48 70 4.44089209850063e-16
+22 0 2 0 0 36 48 71 4.44089209850063e-16
+22 0 2 0 0 36 48 72 4.44089209850063e-16
+22 0 2 0 0 36 48 73 4.44089209850063e-16
+22 0 2 0 0 36 48 74 4.44089209850063e-16
+22 0 2 0 0 36 48 75 4.44089209850063e-16
+22 0 2 0 0 36 48 76 4.44089209850063e-16
+22 0 2 0 0 36 48 77 4.44089209850063e-16
+22 0 2 0 0 36 48 78 4.44089209850063e-16
+22 0 2 0 0 36 48 79 4.44089209850063e-16
+22 0 2 0 0 36 48 80 4.44089209850063e-16
+22 0 2 0 0 36 48 81 4.44089209850063e-16
+22 0 2 0 0 36 48 82 4.44089209850063e-16
+22 0 2 0 0 36 48 83 4.44089209850063e-16
+22 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 4.44089209850063e-16
+22 0 1 0 0 36 48 36 4.44089209850063e-16
+22 0 1 0 0 36 48 38 4.44089209850063e-16
+22 0 1 0 0 36 48 40 4.44089209850063e-16
+22 0 1 0 0 36 48 42 4.44089209850063e-16
+22 0 1 0 0 36 48 44 4.44089209850063e-16
+22 0 1 0 0 36 48 46 4.44089209850063e-16
+22 0 1 0 0 36 48 48 4.44089209850063e-16
+22 0 1 0 0 36 48 50 4.44089209850063e-16
+22 0 1 0 0 36 48 52 4.44089209850063e-16
+22 0 1 0 0 36 48 54 4.44089209850063e-16
+22 0 1 0 0 36 48 56 4.44089209850063e-16
+22 0 1 0 0 36 48 58 4.44089209850063e-16
+22 0 1 0 0 36 48 60 4.44089209850063e-16
+22 0 1 0 0 36 48 62 4.44089209850063e-16
+22 0 1 0 0 36 48 64 4.44089209850063e-16
+22 0 1 0 0 36 48 66 4.44089209850063e-16
+22 0 1 0 0 36 48 68 4.44089209850063e-16
+22 0 1 0 0 36 48 70 4.44089209850063e-16
+22 0 1 0 0 36 48 72 4.44089209850063e-16
+22 0 1 0 0 36 48 74 4.44089209850063e-16
+22 0 1 0 0 36 48 76 4.44089209850063e-16
+22 0 1 0 0 36 48 78 4.44089209850063e-16
+22 0 1 0 0 36 48 80 4.44089209850063e-16
+22 0 1 0 0 36 48 82 4.44089209850063e-16
+22 0 1 0 0 36 48 84 4.44089209850063e-16
+22 0 1 0 0 36 48 86 4.44089209850063e-16
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+22 0 1 0 0 36 48 90 4.44089209850063e-16
+22 0 1 0 0 36 48 92 4.44089209850063e-16
+22 0 1 0 0 36 48 94 4.44089209850063e-16
+22 0 1 0 0 36 48 96 4.44089209850063e-16
+22 0 1 0 0 36 48 98 4.44089209850063e-16
+22 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 4.44089209850063e-16
+23 0 2 0 0 36 48 52 4.44089209850063e-16
+23 0 2 0 0 36 48 53 4.44089209850063e-16
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+23 0 2 0 0 36 48 60 4.44089209850063e-16
+23 0 2 0 0 36 48 61 4.44089209850063e-16
+23 0 2 0 0 36 48 62 4.44089209850063e-16
+23 0 2 0 0 36 48 63 4.44089209850063e-16
+23 0 2 0 0 36 48 64 4.44089209850063e-16
+23 0 2 0 0 36 48 65 4.44089209850063e-16
+23 0 2 0 0 36 48 66 4.44089209850063e-16
+23 0 2 0 0 36 48 67 4.44089209850063e-16
+23 0 2 0 0 36 48 68 4.44089209850063e-16
+23 0 2 0 0 36 48 69 4.44089209850063e-16
+23 0 2 0 0 36 48 70 4.44089209850063e-16
+23 0 2 0 0 36 48 71 4.44089209850063e-16
+23 0 2 0 0 36 48 72 4.44089209850063e-16
+23 0 2 0 0 36 48 73 4.44089209850063e-16
+23 0 2 0 0 36 48 74 4.44089209850063e-16
+23 0 2 0 0 36 48 75 4.44089209850063e-16
+23 0 2 0 0 36 48 76 4.44089209850063e-16
+23 0 2 0 0 36 48 77 4.44089209850063e-16
+23 0 2 0 0 36 48 78 4.44089209850063e-16
+23 0 2 0 0 36 48 79 4.44089209850063e-16
+23 0 2 0 0 36 48 80 4.44089209850063e-16
+23 0 2 0 0 36 48 81 4.44089209850063e-16
+23 0 2 0 0 36 48 82 4.44089209850063e-16
+23 0 2 0 0 36 48 83 4.44089209850063e-16
+23 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 4.44089209850063e-16
+24 0 2 0 0 36 48 52 4.44089209850063e-16
+24 0 2 0 0 36 48 53 4.44089209850063e-16
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+24 0 2 0 0 36 48 63 4.44089209850063e-16
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+24 0 2 0 0 36 48 65 4.44089209850063e-16
+24 0 2 0 0 36 48 66 4.44089209850063e-16
+24 0 2 0 0 36 48 67 4.44089209850063e-16
+24 0 2 0 0 36 48 68 4.44089209850063e-16
+24 0 2 0 0 36 48 69 4.44089209850063e-16
+24 0 2 0 0 36 48 70 4.44089209850063e-16
+24 0 2 0 0 36 48 71 4.44089209850063e-16
+24 0 2 0 0 36 48 72 4.44089209850063e-16
+24 0 2 0 0 36 48 73 4.44089209850063e-16
+24 0 2 0 0 36 48 74 4.44089209850063e-16
+24 0 2 0 0 36 48 75 4.44089209850063e-16
+24 0 2 0 0 36 48 76 4.44089209850063e-16
+24 0 2 0 0 36 48 77 4.44089209850063e-16
+24 0 2 0 0 36 48 78 4.44089209850063e-16
+24 0 2 0 0 36 48 79 4.44089209850063e-16
+24 0 2 0 0 36 48 80 4.44089209850063e-16
+24 0 2 0 0 36 48 81 4.44089209850063e-16
+24 0 2 0 0 36 48 82 4.44089209850063e-16
+24 0 2 0 0 36 48 83 4.44089209850063e-16
+24 0 2 0 0 36 48 84 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 4.44089209850063e-16
+24 0 1 0 0 36 48 36 4.44089209850063e-16
+24 0 1 0 0 36 48 38 4.44089209850063e-16
+24 0 1 0 0 36 48 40 4.44089209850063e-16
+24 0 1 0 0 36 48 42 4.44089209850063e-16
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+24 0 1 0 0 36 48 48 4.44089209850063e-16
+24 0 1 0 0 36 48 50 4.44089209850063e-16
+24 0 1 0 0 36 48 52 4.44089209850063e-16
+24 0 1 0 0 36 48 54 4.44089209850063e-16
+24 0 1 0 0 36 48 56 4.44089209850063e-16
+24 0 1 0 0 36 48 58 4.44089209850063e-16
+24 0 1 0 0 36 48 60 4.44089209850063e-16
+24 0 1 0 0 36 48 62 4.44089209850063e-16
+24 0 1 0 0 36 48 64 4.44089209850063e-16
+24 0 1 0 0 36 48 66 4.44089209850063e-16
+24 0 1 0 0 36 48 68 4.44089209850063e-16
+24 0 1 0 0 36 48 70 4.44089209850063e-16
+24 0 1 0 0 36 48 72 4.44089209850063e-16
+24 0 1 0 0 36 48 74 4.44089209850063e-16
+24 0 1 0 0 36 48 76 4.44089209850063e-16
+24 0 1 0 0 36 48 78 4.44089209850063e-16
+24 0 1 0 0 36 48 80 4.44089209850063e-16
+24 0 1 0 0 36 48 82 4.44089209850063e-16
+24 0 1 0 0 36 48 84 4.44089209850063e-16
+24 0 1 0 0 36 48 86 4.44089209850063e-16
+24 0 1 0 0 36 48 88 4.44089209850063e-16
+24 0 1 0 0 36 48 90 4.44089209850063e-16
+24 0 1 0 0 36 48 92 4.44089209850063e-16
+24 0 1 0 0 36 48 94 4.44089209850063e-16
+24 0 1 0 0 36 48 96 4.44089209850063e-16
+24 0 1 0 0 36 48 98 4.44089209850063e-16
+24 0 1 0 0 36 48 100 4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 4.44089209850063e-16
+24 0 0 0 0 36 48 4 4.44089209850063e-16
+24 0 0 0 0 36 48 8 4.44089209850063e-16
+24 0 0 0 0 36 48 12 4.44089209850063e-16
+24 0 0 0 0 36 48 16 4.44089209850063e-16
+24 0 0 0 0 36 48 20 4.44089209850063e-16
+24 0 0 0 0 36 48 24 4.44089209850063e-16
+24 0 0 0 0 36 48 28 4.44089209850063e-16
+24 0 0 0 0 36 48 32 4.44089209850063e-16
+24 0 0 0 0 36 48 36 4.44089209850063e-16
+24 0 0 0 0 36 48 40 4.44089209850063e-16
+24 0 0 0 0 36 48 44 4.44089209850063e-16
+24 0 0 0 0 36 48 48 4.44089209850063e-16
+24 0 0 0 0 36 48 52 4.44089209850063e-16
+24 0 0 0 0 36 48 56 4.44089209850063e-16
+24 0 0 0 0 36 48 60 4.44089209850063e-16
+24 0 0 0 0 36 48 64 4.44089209850063e-16
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+24 0 0 0 0 36 48 72 4.44089209850063e-16
+24 0 0 0 0 36 48 76 4.44089209850063e-16
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+24 0 0 0 0 36 48 84 4.44089209850063e-16
+24 0 0 0 0 36 48 88 4.44089209850063e-16
+24 0 0 0 0 36 48 92 4.44089209850063e-16
+24 0 0 0 0 36 48 96 4.44089209850063e-16
+24 0 0 0 0 36 48 100 4.44089209850063e-16
+24 0 0 0 0 36 48 104 4.44089209850063e-16
+24 0 0 0 0 36 48 108 4.44089209850063e-16
+24 0 0 0 0 36 48 112 4.44089209850063e-16
+24 0 0 0 0 36 48 116 4.44089209850063e-16
+24 0 0 0 0 36 48 120 4.44089209850063e-16
+24 0 0 0 0 36 48 124 4.44089209850063e-16
+24 0 0 0 0 36 48 128 4.44089209850063e-16
+24 0 0 0 0 36 48 132 4.44089209850063e-16
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_y.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_y.xl
new file mode 100644
index 000000000..4954a39ff
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_y.xl
@@ -0,0 +1,1082 @@
+# GRID::cart3d_y x (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 -4.44089209850063e-16
+0 0 2 0 0 28 48 64 -4.44089209850063e-16
+0 0 2 0 0 29 48 64 -4.44089209850063e-16
+0 0 2 0 0 30 48 64 -4.44089209850063e-16
+0 0 2 0 0 31 48 64 -4.44089209850063e-16
+0 0 2 0 0 32 48 64 -4.44089209850063e-16
+0 0 2 0 0 33 48 64 -4.44089209850063e-16
+0 0 2 0 0 34 48 64 -4.44089209850063e-16
+0 0 2 0 0 35 48 64 -4.44089209850063e-16
+0 0 2 0 0 36 48 64 -4.44089209850063e-16
+0 0 2 0 0 37 48 64 -4.44089209850063e-16
+0 0 2 0 0 38 48 64 -4.44089209850063e-16
+0 0 2 0 0 39 48 64 -4.44089209850063e-16
+0 0 2 0 0 40 48 64 -4.44089209850063e-16
+0 0 2 0 0 41 48 64 -4.44089209850063e-16
+0 0 2 0 0 42 48 64 -4.44089209850063e-16
+0 0 2 0 0 43 48 64 -4.44089209850063e-16
+0 0 2 0 0 44 48 64 -4.44089209850063e-16
+0 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -4.44089209850063e-16
+0 0 1 0 0 20 48 64 -4.44089209850063e-16
+0 0 1 0 0 22 48 64 -4.44089209850063e-16
+0 0 1 0 0 24 48 64 -4.44089209850063e-16
+0 0 1 0 0 26 48 64 -4.44089209850063e-16
+0 0 1 0 0 28 48 64 -4.44089209850063e-16
+0 0 1 0 0 30 48 64 -4.44089209850063e-16
+0 0 1 0 0 32 48 64 -4.44089209850063e-16
+0 0 1 0 0 34 48 64 -4.44089209850063e-16
+0 0 1 0 0 36 48 64 -4.44089209850063e-16
+0 0 1 0 0 38 48 64 -4.44089209850063e-16
+0 0 1 0 0 40 48 64 -4.44089209850063e-16
+0 0 1 0 0 42 48 64 -4.44089209850063e-16
+0 0 1 0 0 44 48 64 -4.44089209850063e-16
+0 0 1 0 0 46 48 64 -4.44089209850063e-16
+0 0 1 0 0 48 48 64 -4.44089209850063e-16
+0 0 1 0 0 50 48 64 -4.44089209850063e-16
+0 0 1 0 0 52 48 64 -4.44089209850063e-16
+0 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -4.44089209850063e-16
+0 0 0 0 0 4 48 64 -4.44089209850063e-16
+0 0 0 0 0 8 48 64 -4.44089209850063e-16
+0 0 0 0 0 12 48 64 -4.44089209850063e-16
+0 0 0 0 0 16 48 64 -4.44089209850063e-16
+0 0 0 0 0 20 48 64 -4.44089209850063e-16
+0 0 0 0 0 24 48 64 -4.44089209850063e-16
+0 0 0 0 0 28 48 64 -4.44089209850063e-16
+0 0 0 0 0 32 48 64 -4.44089209850063e-16
+0 0 0 0 0 36 48 64 -4.44089209850063e-16
+0 0 0 0 0 40 48 64 -4.44089209850063e-16
+0 0 0 0 0 44 48 64 -4.44089209850063e-16
+0 0 0 0 0 48 48 64 -4.44089209850063e-16
+0 0 0 0 0 52 48 64 -4.44089209850063e-16
+0 0 0 0 0 56 48 64 -4.44089209850063e-16
+0 0 0 0 0 60 48 64 -4.44089209850063e-16
+0 0 0 0 0 64 48 64 -4.44089209850063e-16
+0 0 0 0 0 68 48 64 -4.44089209850063e-16
+0 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 -4.44089209850063e-16
+1 0 2 0 0 28 48 64 -4.44089209850063e-16
+1 0 2 0 0 29 48 64 -4.44089209850063e-16
+1 0 2 0 0 30 48 64 -4.44089209850063e-16
+1 0 2 0 0 31 48 64 -4.44089209850063e-16
+1 0 2 0 0 32 48 64 -4.44089209850063e-16
+1 0 2 0 0 33 48 64 -4.44089209850063e-16
+1 0 2 0 0 34 48 64 -4.44089209850063e-16
+1 0 2 0 0 35 48 64 -4.44089209850063e-16
+1 0 2 0 0 36 48 64 -4.44089209850063e-16
+1 0 2 0 0 37 48 64 -4.44089209850063e-16
+1 0 2 0 0 38 48 64 -4.44089209850063e-16
+1 0 2 0 0 39 48 64 -4.44089209850063e-16
+1 0 2 0 0 40 48 64 -4.44089209850063e-16
+1 0 2 0 0 41 48 64 -4.44089209850063e-16
+1 0 2 0 0 42 48 64 -4.44089209850063e-16
+1 0 2 0 0 43 48 64 -4.44089209850063e-16
+1 0 2 0 0 44 48 64 -4.44089209850063e-16
+1 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 -4.44089209850063e-16
+2 0 2 0 0 28 48 64 -4.44089209850063e-16
+2 0 2 0 0 29 48 64 -4.44089209850063e-16
+2 0 2 0 0 30 48 64 -4.44089209850063e-16
+2 0 2 0 0 31 48 64 -4.44089209850063e-16
+2 0 2 0 0 32 48 64 -4.44089209850063e-16
+2 0 2 0 0 33 48 64 -4.44089209850063e-16
+2 0 2 0 0 34 48 64 -4.44089209850063e-16
+2 0 2 0 0 35 48 64 -4.44089209850063e-16
+2 0 2 0 0 36 48 64 -4.44089209850063e-16
+2 0 2 0 0 37 48 64 -4.44089209850063e-16
+2 0 2 0 0 38 48 64 -4.44089209850063e-16
+2 0 2 0 0 39 48 64 -4.44089209850063e-16
+2 0 2 0 0 40 48 64 -4.44089209850063e-16
+2 0 2 0 0 41 48 64 -4.44089209850063e-16
+2 0 2 0 0 42 48 64 -4.44089209850063e-16
+2 0 2 0 0 43 48 64 -4.44089209850063e-16
+2 0 2 0 0 44 48 64 -4.44089209850063e-16
+2 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -4.44089209850063e-16
+2 0 1 0 0 20 48 64 -4.44089209850063e-16
+2 0 1 0 0 22 48 64 -4.44089209850063e-16
+2 0 1 0 0 24 48 64 -4.44089209850063e-16
+2 0 1 0 0 26 48 64 -4.44089209850063e-16
+2 0 1 0 0 28 48 64 -4.44089209850063e-16
+2 0 1 0 0 30 48 64 -4.44089209850063e-16
+2 0 1 0 0 32 48 64 -4.44089209850063e-16
+2 0 1 0 0 34 48 64 -4.44089209850063e-16
+2 0 1 0 0 36 48 64 -4.44089209850063e-16
+2 0 1 0 0 38 48 64 -4.44089209850063e-16
+2 0 1 0 0 40 48 64 -4.44089209850063e-16
+2 0 1 0 0 42 48 64 -4.44089209850063e-16
+2 0 1 0 0 44 48 64 -4.44089209850063e-16
+2 0 1 0 0 46 48 64 -4.44089209850063e-16
+2 0 1 0 0 48 48 64 -4.44089209850063e-16
+2 0 1 0 0 50 48 64 -4.44089209850063e-16
+2 0 1 0 0 52 48 64 -4.44089209850063e-16
+2 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 -4.44089209850063e-16
+3 0 2 0 0 28 48 64 -4.44089209850063e-16
+3 0 2 0 0 29 48 64 -4.44089209850063e-16
+3 0 2 0 0 30 48 64 -4.44089209850063e-16
+3 0 2 0 0 31 48 64 -4.44089209850063e-16
+3 0 2 0 0 32 48 64 -4.44089209850063e-16
+3 0 2 0 0 33 48 64 -4.44089209850063e-16
+3 0 2 0 0 34 48 64 -4.44089209850063e-16
+3 0 2 0 0 35 48 64 -4.44089209850063e-16
+3 0 2 0 0 36 48 64 -4.44089209850063e-16
+3 0 2 0 0 37 48 64 -4.44089209850063e-16
+3 0 2 0 0 38 48 64 -4.44089209850063e-16
+3 0 2 0 0 39 48 64 -4.44089209850063e-16
+3 0 2 0 0 40 48 64 -4.44089209850063e-16
+3 0 2 0 0 41 48 64 -4.44089209850063e-16
+3 0 2 0 0 42 48 64 -4.44089209850063e-16
+3 0 2 0 0 43 48 64 -4.44089209850063e-16
+3 0 2 0 0 44 48 64 -4.44089209850063e-16
+3 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 -4.44089209850063e-16
+4 0 2 0 0 28 48 64 -4.44089209850063e-16
+4 0 2 0 0 29 48 64 -4.44089209850063e-16
+4 0 2 0 0 30 48 64 -4.44089209850063e-16
+4 0 2 0 0 31 48 64 -4.44089209850063e-16
+4 0 2 0 0 32 48 64 -4.44089209850063e-16
+4 0 2 0 0 33 48 64 -4.44089209850063e-16
+4 0 2 0 0 34 48 64 -4.44089209850063e-16
+4 0 2 0 0 35 48 64 -4.44089209850063e-16
+4 0 2 0 0 36 48 64 -4.44089209850063e-16
+4 0 2 0 0 37 48 64 -4.44089209850063e-16
+4 0 2 0 0 38 48 64 -4.44089209850063e-16
+4 0 2 0 0 39 48 64 -4.44089209850063e-16
+4 0 2 0 0 40 48 64 -4.44089209850063e-16
+4 0 2 0 0 41 48 64 -4.44089209850063e-16
+4 0 2 0 0 42 48 64 -4.44089209850063e-16
+4 0 2 0 0 43 48 64 -4.44089209850063e-16
+4 0 2 0 0 44 48 64 -4.44089209850063e-16
+4 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 -4.44089209850063e-16
+4 0 1 0 0 20 48 64 -4.44089209850063e-16
+4 0 1 0 0 22 48 64 -4.44089209850063e-16
+4 0 1 0 0 24 48 64 -4.44089209850063e-16
+4 0 1 0 0 26 48 64 -4.44089209850063e-16
+4 0 1 0 0 28 48 64 -4.44089209850063e-16
+4 0 1 0 0 30 48 64 -4.44089209850063e-16
+4 0 1 0 0 32 48 64 -4.44089209850063e-16
+4 0 1 0 0 34 48 64 -4.44089209850063e-16
+4 0 1 0 0 36 48 64 -4.44089209850063e-16
+4 0 1 0 0 38 48 64 -4.44089209850063e-16
+4 0 1 0 0 40 48 64 -4.44089209850063e-16
+4 0 1 0 0 42 48 64 -4.44089209850063e-16
+4 0 1 0 0 44 48 64 -4.44089209850063e-16
+4 0 1 0 0 46 48 64 -4.44089209850063e-16
+4 0 1 0 0 48 48 64 -4.44089209850063e-16
+4 0 1 0 0 50 48 64 -4.44089209850063e-16
+4 0 1 0 0 52 48 64 -4.44089209850063e-16
+4 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -4.44089209850063e-16
+4 0 0 0 0 4 48 64 -4.44089209850063e-16
+4 0 0 0 0 8 48 64 -4.44089209850063e-16
+4 0 0 0 0 12 48 64 -4.44089209850063e-16
+4 0 0 0 0 16 48 64 -4.44089209850063e-16
+4 0 0 0 0 20 48 64 -4.44089209850063e-16
+4 0 0 0 0 24 48 64 -4.44089209850063e-16
+4 0 0 0 0 28 48 64 -4.44089209850063e-16
+4 0 0 0 0 32 48 64 -4.44089209850063e-16
+4 0 0 0 0 36 48 64 -4.44089209850063e-16
+4 0 0 0 0 40 48 64 -4.44089209850063e-16
+4 0 0 0 0 44 48 64 -4.44089209850063e-16
+4 0 0 0 0 48 48 64 -4.44089209850063e-16
+4 0 0 0 0 52 48 64 -4.44089209850063e-16
+4 0 0 0 0 56 48 64 -4.44089209850063e-16
+4 0 0 0 0 60 48 64 -4.44089209850063e-16
+4 0 0 0 0 64 48 64 -4.44089209850063e-16
+4 0 0 0 0 68 48 64 -4.44089209850063e-16
+4 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 -4.44089209850063e-16
+5 0 2 0 0 28 48 64 -4.44089209850063e-16
+5 0 2 0 0 29 48 64 -4.44089209850063e-16
+5 0 2 0 0 30 48 64 -4.44089209850063e-16
+5 0 2 0 0 31 48 64 -4.44089209850063e-16
+5 0 2 0 0 32 48 64 -4.44089209850063e-16
+5 0 2 0 0 33 48 64 -4.44089209850063e-16
+5 0 2 0 0 34 48 64 -4.44089209850063e-16
+5 0 2 0 0 35 48 64 -4.44089209850063e-16
+5 0 2 0 0 36 48 64 -4.44089209850063e-16
+5 0 2 0 0 37 48 64 -4.44089209850063e-16
+5 0 2 0 0 38 48 64 -4.44089209850063e-16
+5 0 2 0 0 39 48 64 -4.44089209850063e-16
+5 0 2 0 0 40 48 64 -4.44089209850063e-16
+5 0 2 0 0 41 48 64 -4.44089209850063e-16
+5 0 2 0 0 42 48 64 -4.44089209850063e-16
+5 0 2 0 0 43 48 64 -4.44089209850063e-16
+5 0 2 0 0 44 48 64 -4.44089209850063e-16
+5 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 -4.44089209850063e-16
+6 0 2 0 0 28 48 64 -4.44089209850063e-16
+6 0 2 0 0 29 48 64 -4.44089209850063e-16
+6 0 2 0 0 30 48 64 -4.44089209850063e-16
+6 0 2 0 0 31 48 64 -4.44089209850063e-16
+6 0 2 0 0 32 48 64 -4.44089209850063e-16
+6 0 2 0 0 33 48 64 -4.44089209850063e-16
+6 0 2 0 0 34 48 64 -4.44089209850063e-16
+6 0 2 0 0 35 48 64 -4.44089209850063e-16
+6 0 2 0 0 36 48 64 -4.44089209850063e-16
+6 0 2 0 0 37 48 64 -4.44089209850063e-16
+6 0 2 0 0 38 48 64 -4.44089209850063e-16
+6 0 2 0 0 39 48 64 -4.44089209850063e-16
+6 0 2 0 0 40 48 64 -4.44089209850063e-16
+6 0 2 0 0 41 48 64 -4.44089209850063e-16
+6 0 2 0 0 42 48 64 -4.44089209850063e-16
+6 0 2 0 0 43 48 64 -4.44089209850063e-16
+6 0 2 0 0 44 48 64 -4.44089209850063e-16
+6 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 -4.44089209850063e-16
+6 0 1 0 0 20 48 64 -4.44089209850063e-16
+6 0 1 0 0 22 48 64 -4.44089209850063e-16
+6 0 1 0 0 24 48 64 -4.44089209850063e-16
+6 0 1 0 0 26 48 64 -4.44089209850063e-16
+6 0 1 0 0 28 48 64 -4.44089209850063e-16
+6 0 1 0 0 30 48 64 -4.44089209850063e-16
+6 0 1 0 0 32 48 64 -4.44089209850063e-16
+6 0 1 0 0 34 48 64 -4.44089209850063e-16
+6 0 1 0 0 36 48 64 -4.44089209850063e-16
+6 0 1 0 0 38 48 64 -4.44089209850063e-16
+6 0 1 0 0 40 48 64 -4.44089209850063e-16
+6 0 1 0 0 42 48 64 -4.44089209850063e-16
+6 0 1 0 0 44 48 64 -4.44089209850063e-16
+6 0 1 0 0 46 48 64 -4.44089209850063e-16
+6 0 1 0 0 48 48 64 -4.44089209850063e-16
+6 0 1 0 0 50 48 64 -4.44089209850063e-16
+6 0 1 0 0 52 48 64 -4.44089209850063e-16
+6 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 -4.44089209850063e-16
+7 0 2 0 0 28 48 64 -4.44089209850063e-16
+7 0 2 0 0 29 48 64 -4.44089209850063e-16
+7 0 2 0 0 30 48 64 -4.44089209850063e-16
+7 0 2 0 0 31 48 64 -4.44089209850063e-16
+7 0 2 0 0 32 48 64 -4.44089209850063e-16
+7 0 2 0 0 33 48 64 -4.44089209850063e-16
+7 0 2 0 0 34 48 64 -4.44089209850063e-16
+7 0 2 0 0 35 48 64 -4.44089209850063e-16
+7 0 2 0 0 36 48 64 -4.44089209850063e-16
+7 0 2 0 0 37 48 64 -4.44089209850063e-16
+7 0 2 0 0 38 48 64 -4.44089209850063e-16
+7 0 2 0 0 39 48 64 -4.44089209850063e-16
+7 0 2 0 0 40 48 64 -4.44089209850063e-16
+7 0 2 0 0 41 48 64 -4.44089209850063e-16
+7 0 2 0 0 42 48 64 -4.44089209850063e-16
+7 0 2 0 0 43 48 64 -4.44089209850063e-16
+7 0 2 0 0 44 48 64 -4.44089209850063e-16
+7 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 -4.44089209850063e-16
+8 0 2 0 0 28 48 64 -4.44089209850063e-16
+8 0 2 0 0 29 48 64 -4.44089209850063e-16
+8 0 2 0 0 30 48 64 -4.44089209850063e-16
+8 0 2 0 0 31 48 64 -4.44089209850063e-16
+8 0 2 0 0 32 48 64 -4.44089209850063e-16
+8 0 2 0 0 33 48 64 -4.44089209850063e-16
+8 0 2 0 0 34 48 64 -4.44089209850063e-16
+8 0 2 0 0 35 48 64 -4.44089209850063e-16
+8 0 2 0 0 36 48 64 -4.44089209850063e-16
+8 0 2 0 0 37 48 64 -4.44089209850063e-16
+8 0 2 0 0 38 48 64 -4.44089209850063e-16
+8 0 2 0 0 39 48 64 -4.44089209850063e-16
+8 0 2 0 0 40 48 64 -4.44089209850063e-16
+8 0 2 0 0 41 48 64 -4.44089209850063e-16
+8 0 2 0 0 42 48 64 -4.44089209850063e-16
+8 0 2 0 0 43 48 64 -4.44089209850063e-16
+8 0 2 0 0 44 48 64 -4.44089209850063e-16
+8 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 -4.44089209850063e-16
+8 0 1 0 0 20 48 64 -4.44089209850063e-16
+8 0 1 0 0 22 48 64 -4.44089209850063e-16
+8 0 1 0 0 24 48 64 -4.44089209850063e-16
+8 0 1 0 0 26 48 64 -4.44089209850063e-16
+8 0 1 0 0 28 48 64 -4.44089209850063e-16
+8 0 1 0 0 30 48 64 -4.44089209850063e-16
+8 0 1 0 0 32 48 64 -4.44089209850063e-16
+8 0 1 0 0 34 48 64 -4.44089209850063e-16
+8 0 1 0 0 36 48 64 -4.44089209850063e-16
+8 0 1 0 0 38 48 64 -4.44089209850063e-16
+8 0 1 0 0 40 48 64 -4.44089209850063e-16
+8 0 1 0 0 42 48 64 -4.44089209850063e-16
+8 0 1 0 0 44 48 64 -4.44089209850063e-16
+8 0 1 0 0 46 48 64 -4.44089209850063e-16
+8 0 1 0 0 48 48 64 -4.44089209850063e-16
+8 0 1 0 0 50 48 64 -4.44089209850063e-16
+8 0 1 0 0 52 48 64 -4.44089209850063e-16
+8 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -4.44089209850063e-16
+8 0 0 0 0 4 48 64 -4.44089209850063e-16
+8 0 0 0 0 8 48 64 -4.44089209850063e-16
+8 0 0 0 0 12 48 64 -4.44089209850063e-16
+8 0 0 0 0 16 48 64 -4.44089209850063e-16
+8 0 0 0 0 20 48 64 -4.44089209850063e-16
+8 0 0 0 0 24 48 64 -4.44089209850063e-16
+8 0 0 0 0 28 48 64 -4.44089209850063e-16
+8 0 0 0 0 32 48 64 -4.44089209850063e-16
+8 0 0 0 0 36 48 64 -4.44089209850063e-16
+8 0 0 0 0 40 48 64 -4.44089209850063e-16
+8 0 0 0 0 44 48 64 -4.44089209850063e-16
+8 0 0 0 0 48 48 64 -4.44089209850063e-16
+8 0 0 0 0 52 48 64 -4.44089209850063e-16
+8 0 0 0 0 56 48 64 -4.44089209850063e-16
+8 0 0 0 0 60 48 64 -4.44089209850063e-16
+8 0 0 0 0 64 48 64 -4.44089209850063e-16
+8 0 0 0 0 68 48 64 -4.44089209850063e-16
+8 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 -4.44089209850063e-16
+9 0 2 0 0 28 48 64 -4.44089209850063e-16
+9 0 2 0 0 29 48 64 -4.44089209850063e-16
+9 0 2 0 0 30 48 64 -4.44089209850063e-16
+9 0 2 0 0 31 48 64 -4.44089209850063e-16
+9 0 2 0 0 32 48 64 -4.44089209850063e-16
+9 0 2 0 0 33 48 64 -4.44089209850063e-16
+9 0 2 0 0 34 48 64 -4.44089209850063e-16
+9 0 2 0 0 35 48 64 -4.44089209850063e-16
+9 0 2 0 0 36 48 64 -4.44089209850063e-16
+9 0 2 0 0 37 48 64 -4.44089209850063e-16
+9 0 2 0 0 38 48 64 -4.44089209850063e-16
+9 0 2 0 0 39 48 64 -4.44089209850063e-16
+9 0 2 0 0 40 48 64 -4.44089209850063e-16
+9 0 2 0 0 41 48 64 -4.44089209850063e-16
+9 0 2 0 0 42 48 64 -4.44089209850063e-16
+9 0 2 0 0 43 48 64 -4.44089209850063e-16
+9 0 2 0 0 44 48 64 -4.44089209850063e-16
+9 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 -4.44089209850063e-16
+10 0 2 0 0 28 48 64 -4.44089209850063e-16
+10 0 2 0 0 29 48 64 -4.44089209850063e-16
+10 0 2 0 0 30 48 64 -4.44089209850063e-16
+10 0 2 0 0 31 48 64 -4.44089209850063e-16
+10 0 2 0 0 32 48 64 -4.44089209850063e-16
+10 0 2 0 0 33 48 64 -4.44089209850063e-16
+10 0 2 0 0 34 48 64 -4.44089209850063e-16
+10 0 2 0 0 35 48 64 -4.44089209850063e-16
+10 0 2 0 0 36 48 64 -4.44089209850063e-16
+10 0 2 0 0 37 48 64 -4.44089209850063e-16
+10 0 2 0 0 38 48 64 -4.44089209850063e-16
+10 0 2 0 0 39 48 64 -4.44089209850063e-16
+10 0 2 0 0 40 48 64 -4.44089209850063e-16
+10 0 2 0 0 41 48 64 -4.44089209850063e-16
+10 0 2 0 0 42 48 64 -4.44089209850063e-16
+10 0 2 0 0 43 48 64 -4.44089209850063e-16
+10 0 2 0 0 44 48 64 -4.44089209850063e-16
+10 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 -4.44089209850063e-16
+10 0 1 0 0 20 48 64 -4.44089209850063e-16
+10 0 1 0 0 22 48 64 -4.44089209850063e-16
+10 0 1 0 0 24 48 64 -4.44089209850063e-16
+10 0 1 0 0 26 48 64 -4.44089209850063e-16
+10 0 1 0 0 28 48 64 -4.44089209850063e-16
+10 0 1 0 0 30 48 64 -4.44089209850063e-16
+10 0 1 0 0 32 48 64 -4.44089209850063e-16
+10 0 1 0 0 34 48 64 -4.44089209850063e-16
+10 0 1 0 0 36 48 64 -4.44089209850063e-16
+10 0 1 0 0 38 48 64 -4.44089209850063e-16
+10 0 1 0 0 40 48 64 -4.44089209850063e-16
+10 0 1 0 0 42 48 64 -4.44089209850063e-16
+10 0 1 0 0 44 48 64 -4.44089209850063e-16
+10 0 1 0 0 46 48 64 -4.44089209850063e-16
+10 0 1 0 0 48 48 64 -4.44089209850063e-16
+10 0 1 0 0 50 48 64 -4.44089209850063e-16
+10 0 1 0 0 52 48 64 -4.44089209850063e-16
+10 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 -4.44089209850063e-16
+11 0 2 0 0 28 48 64 -4.44089209850063e-16
+11 0 2 0 0 29 48 64 -4.44089209850063e-16
+11 0 2 0 0 30 48 64 -4.44089209850063e-16
+11 0 2 0 0 31 48 64 -4.44089209850063e-16
+11 0 2 0 0 32 48 64 -4.44089209850063e-16
+11 0 2 0 0 33 48 64 -4.44089209850063e-16
+11 0 2 0 0 34 48 64 -4.44089209850063e-16
+11 0 2 0 0 35 48 64 -4.44089209850063e-16
+11 0 2 0 0 36 48 64 -4.44089209850063e-16
+11 0 2 0 0 37 48 64 -4.44089209850063e-16
+11 0 2 0 0 38 48 64 -4.44089209850063e-16
+11 0 2 0 0 39 48 64 -4.44089209850063e-16
+11 0 2 0 0 40 48 64 -4.44089209850063e-16
+11 0 2 0 0 41 48 64 -4.44089209850063e-16
+11 0 2 0 0 42 48 64 -4.44089209850063e-16
+11 0 2 0 0 43 48 64 -4.44089209850063e-16
+11 0 2 0 0 44 48 64 -4.44089209850063e-16
+11 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 -4.44089209850063e-16
+12 0 2 0 0 28 48 64 -4.44089209850063e-16
+12 0 2 0 0 29 48 64 -4.44089209850063e-16
+12 0 2 0 0 30 48 64 -4.44089209850063e-16
+12 0 2 0 0 31 48 64 -4.44089209850063e-16
+12 0 2 0 0 32 48 64 -4.44089209850063e-16
+12 0 2 0 0 33 48 64 -4.44089209850063e-16
+12 0 2 0 0 34 48 64 -4.44089209850063e-16
+12 0 2 0 0 35 48 64 -4.44089209850063e-16
+12 0 2 0 0 36 48 64 -4.44089209850063e-16
+12 0 2 0 0 37 48 64 -4.44089209850063e-16
+12 0 2 0 0 38 48 64 -4.44089209850063e-16
+12 0 2 0 0 39 48 64 -4.44089209850063e-16
+12 0 2 0 0 40 48 64 -4.44089209850063e-16
+12 0 2 0 0 41 48 64 -4.44089209850063e-16
+12 0 2 0 0 42 48 64 -4.44089209850063e-16
+12 0 2 0 0 43 48 64 -4.44089209850063e-16
+12 0 2 0 0 44 48 64 -4.44089209850063e-16
+12 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 -4.44089209850063e-16
+12 0 1 0 0 20 48 64 -4.44089209850063e-16
+12 0 1 0 0 22 48 64 -4.44089209850063e-16
+12 0 1 0 0 24 48 64 -4.44089209850063e-16
+12 0 1 0 0 26 48 64 -4.44089209850063e-16
+12 0 1 0 0 28 48 64 -4.44089209850063e-16
+12 0 1 0 0 30 48 64 -4.44089209850063e-16
+12 0 1 0 0 32 48 64 -4.44089209850063e-16
+12 0 1 0 0 34 48 64 -4.44089209850063e-16
+12 0 1 0 0 36 48 64 -4.44089209850063e-16
+12 0 1 0 0 38 48 64 -4.44089209850063e-16
+12 0 1 0 0 40 48 64 -4.44089209850063e-16
+12 0 1 0 0 42 48 64 -4.44089209850063e-16
+12 0 1 0 0 44 48 64 -4.44089209850063e-16
+12 0 1 0 0 46 48 64 -4.44089209850063e-16
+12 0 1 0 0 48 48 64 -4.44089209850063e-16
+12 0 1 0 0 50 48 64 -4.44089209850063e-16
+12 0 1 0 0 52 48 64 -4.44089209850063e-16
+12 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -4.44089209850063e-16
+12 0 0 0 0 4 48 64 -4.44089209850063e-16
+12 0 0 0 0 8 48 64 -4.44089209850063e-16
+12 0 0 0 0 12 48 64 -4.44089209850063e-16
+12 0 0 0 0 16 48 64 -4.44089209850063e-16
+12 0 0 0 0 20 48 64 -4.44089209850063e-16
+12 0 0 0 0 24 48 64 -4.44089209850063e-16
+12 0 0 0 0 28 48 64 -4.44089209850063e-16
+12 0 0 0 0 32 48 64 -4.44089209850063e-16
+12 0 0 0 0 36 48 64 -4.44089209850063e-16
+12 0 0 0 0 40 48 64 -4.44089209850063e-16
+12 0 0 0 0 44 48 64 -4.44089209850063e-16
+12 0 0 0 0 48 48 64 -4.44089209850063e-16
+12 0 0 0 0 52 48 64 -4.44089209850063e-16
+12 0 0 0 0 56 48 64 -4.44089209850063e-16
+12 0 0 0 0 60 48 64 -4.44089209850063e-16
+12 0 0 0 0 64 48 64 -4.44089209850063e-16
+12 0 0 0 0 68 48 64 -4.44089209850063e-16
+12 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 -4.44089209850063e-16
+13 0 2 0 0 28 48 64 -4.44089209850063e-16
+13 0 2 0 0 29 48 64 -4.44089209850063e-16
+13 0 2 0 0 30 48 64 -4.44089209850063e-16
+13 0 2 0 0 31 48 64 -4.44089209850063e-16
+13 0 2 0 0 32 48 64 -4.44089209850063e-16
+13 0 2 0 0 33 48 64 -4.44089209850063e-16
+13 0 2 0 0 34 48 64 -4.44089209850063e-16
+13 0 2 0 0 35 48 64 -4.44089209850063e-16
+13 0 2 0 0 36 48 64 -4.44089209850063e-16
+13 0 2 0 0 37 48 64 -4.44089209850063e-16
+13 0 2 0 0 38 48 64 -4.44089209850063e-16
+13 0 2 0 0 39 48 64 -4.44089209850063e-16
+13 0 2 0 0 40 48 64 -4.44089209850063e-16
+13 0 2 0 0 41 48 64 -4.44089209850063e-16
+13 0 2 0 0 42 48 64 -4.44089209850063e-16
+13 0 2 0 0 43 48 64 -4.44089209850063e-16
+13 0 2 0 0 44 48 64 -4.44089209850063e-16
+13 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 -4.44089209850063e-16
+14 0 2 0 0 28 48 64 -4.44089209850063e-16
+14 0 2 0 0 29 48 64 -4.44089209850063e-16
+14 0 2 0 0 30 48 64 -4.44089209850063e-16
+14 0 2 0 0 31 48 64 -4.44089209850063e-16
+14 0 2 0 0 32 48 64 -4.44089209850063e-16
+14 0 2 0 0 33 48 64 -4.44089209850063e-16
+14 0 2 0 0 34 48 64 -4.44089209850063e-16
+14 0 2 0 0 35 48 64 -4.44089209850063e-16
+14 0 2 0 0 36 48 64 -4.44089209850063e-16
+14 0 2 0 0 37 48 64 -4.44089209850063e-16
+14 0 2 0 0 38 48 64 -4.44089209850063e-16
+14 0 2 0 0 39 48 64 -4.44089209850063e-16
+14 0 2 0 0 40 48 64 -4.44089209850063e-16
+14 0 2 0 0 41 48 64 -4.44089209850063e-16
+14 0 2 0 0 42 48 64 -4.44089209850063e-16
+14 0 2 0 0 43 48 64 -4.44089209850063e-16
+14 0 2 0 0 44 48 64 -4.44089209850063e-16
+14 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 -4.44089209850063e-16
+14 0 1 0 0 20 48 64 -4.44089209850063e-16
+14 0 1 0 0 22 48 64 -4.44089209850063e-16
+14 0 1 0 0 24 48 64 -4.44089209850063e-16
+14 0 1 0 0 26 48 64 -4.44089209850063e-16
+14 0 1 0 0 28 48 64 -4.44089209850063e-16
+14 0 1 0 0 30 48 64 -4.44089209850063e-16
+14 0 1 0 0 32 48 64 -4.44089209850063e-16
+14 0 1 0 0 34 48 64 -4.44089209850063e-16
+14 0 1 0 0 36 48 64 -4.44089209850063e-16
+14 0 1 0 0 38 48 64 -4.44089209850063e-16
+14 0 1 0 0 40 48 64 -4.44089209850063e-16
+14 0 1 0 0 42 48 64 -4.44089209850063e-16
+14 0 1 0 0 44 48 64 -4.44089209850063e-16
+14 0 1 0 0 46 48 64 -4.44089209850063e-16
+14 0 1 0 0 48 48 64 -4.44089209850063e-16
+14 0 1 0 0 50 48 64 -4.44089209850063e-16
+14 0 1 0 0 52 48 64 -4.44089209850063e-16
+14 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 -4.44089209850063e-16
+15 0 2 0 0 28 48 64 -4.44089209850063e-16
+15 0 2 0 0 29 48 64 -4.44089209850063e-16
+15 0 2 0 0 30 48 64 -4.44089209850063e-16
+15 0 2 0 0 31 48 64 -4.44089209850063e-16
+15 0 2 0 0 32 48 64 -4.44089209850063e-16
+15 0 2 0 0 33 48 64 -4.44089209850063e-16
+15 0 2 0 0 34 48 64 -4.44089209850063e-16
+15 0 2 0 0 35 48 64 -4.44089209850063e-16
+15 0 2 0 0 36 48 64 -4.44089209850063e-16
+15 0 2 0 0 37 48 64 -4.44089209850063e-16
+15 0 2 0 0 38 48 64 -4.44089209850063e-16
+15 0 2 0 0 39 48 64 -4.44089209850063e-16
+15 0 2 0 0 40 48 64 -4.44089209850063e-16
+15 0 2 0 0 41 48 64 -4.44089209850063e-16
+15 0 2 0 0 42 48 64 -4.44089209850063e-16
+15 0 2 0 0 43 48 64 -4.44089209850063e-16
+15 0 2 0 0 44 48 64 -4.44089209850063e-16
+15 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 -4.44089209850063e-16
+16 0 2 0 0 28 48 64 -4.44089209850063e-16
+16 0 2 0 0 29 48 64 -4.44089209850063e-16
+16 0 2 0 0 30 48 64 -4.44089209850063e-16
+16 0 2 0 0 31 48 64 -4.44089209850063e-16
+16 0 2 0 0 32 48 64 -4.44089209850063e-16
+16 0 2 0 0 33 48 64 -4.44089209850063e-16
+16 0 2 0 0 34 48 64 -4.44089209850063e-16
+16 0 2 0 0 35 48 64 -4.44089209850063e-16
+16 0 2 0 0 36 48 64 -4.44089209850063e-16
+16 0 2 0 0 37 48 64 -4.44089209850063e-16
+16 0 2 0 0 38 48 64 -4.44089209850063e-16
+16 0 2 0 0 39 48 64 -4.44089209850063e-16
+16 0 2 0 0 40 48 64 -4.44089209850063e-16
+16 0 2 0 0 41 48 64 -4.44089209850063e-16
+16 0 2 0 0 42 48 64 -4.44089209850063e-16
+16 0 2 0 0 43 48 64 -4.44089209850063e-16
+16 0 2 0 0 44 48 64 -4.44089209850063e-16
+16 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 -4.44089209850063e-16
+16 0 1 0 0 20 48 64 -4.44089209850063e-16
+16 0 1 0 0 22 48 64 -4.44089209850063e-16
+16 0 1 0 0 24 48 64 -4.44089209850063e-16
+16 0 1 0 0 26 48 64 -4.44089209850063e-16
+16 0 1 0 0 28 48 64 -4.44089209850063e-16
+16 0 1 0 0 30 48 64 -4.44089209850063e-16
+16 0 1 0 0 32 48 64 -4.44089209850063e-16
+16 0 1 0 0 34 48 64 -4.44089209850063e-16
+16 0 1 0 0 36 48 64 -4.44089209850063e-16
+16 0 1 0 0 38 48 64 -4.44089209850063e-16
+16 0 1 0 0 40 48 64 -4.44089209850063e-16
+16 0 1 0 0 42 48 64 -4.44089209850063e-16
+16 0 1 0 0 44 48 64 -4.44089209850063e-16
+16 0 1 0 0 46 48 64 -4.44089209850063e-16
+16 0 1 0 0 48 48 64 -4.44089209850063e-16
+16 0 1 0 0 50 48 64 -4.44089209850063e-16
+16 0 1 0 0 52 48 64 -4.44089209850063e-16
+16 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -4.44089209850063e-16
+16 0 0 0 0 4 48 64 -4.44089209850063e-16
+16 0 0 0 0 8 48 64 -4.44089209850063e-16
+16 0 0 0 0 12 48 64 -4.44089209850063e-16
+16 0 0 0 0 16 48 64 -4.44089209850063e-16
+16 0 0 0 0 20 48 64 -4.44089209850063e-16
+16 0 0 0 0 24 48 64 -4.44089209850063e-16
+16 0 0 0 0 28 48 64 -4.44089209850063e-16
+16 0 0 0 0 32 48 64 -4.44089209850063e-16
+16 0 0 0 0 36 48 64 -4.44089209850063e-16
+16 0 0 0 0 40 48 64 -4.44089209850063e-16
+16 0 0 0 0 44 48 64 -4.44089209850063e-16
+16 0 0 0 0 48 48 64 -4.44089209850063e-16
+16 0 0 0 0 52 48 64 -4.44089209850063e-16
+16 0 0 0 0 56 48 64 -4.44089209850063e-16
+16 0 0 0 0 60 48 64 -4.44089209850063e-16
+16 0 0 0 0 64 48 64 -4.44089209850063e-16
+16 0 0 0 0 68 48 64 -4.44089209850063e-16
+16 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 -4.44089209850063e-16
+17 0 2 0 0 28 48 64 -4.44089209850063e-16
+17 0 2 0 0 29 48 64 -4.44089209850063e-16
+17 0 2 0 0 30 48 64 -4.44089209850063e-16
+17 0 2 0 0 31 48 64 -4.44089209850063e-16
+17 0 2 0 0 32 48 64 -4.44089209850063e-16
+17 0 2 0 0 33 48 64 -4.44089209850063e-16
+17 0 2 0 0 34 48 64 -4.44089209850063e-16
+17 0 2 0 0 35 48 64 -4.44089209850063e-16
+17 0 2 0 0 36 48 64 -4.44089209850063e-16
+17 0 2 0 0 37 48 64 -4.44089209850063e-16
+17 0 2 0 0 38 48 64 -4.44089209850063e-16
+17 0 2 0 0 39 48 64 -4.44089209850063e-16
+17 0 2 0 0 40 48 64 -4.44089209850063e-16
+17 0 2 0 0 41 48 64 -4.44089209850063e-16
+17 0 2 0 0 42 48 64 -4.44089209850063e-16
+17 0 2 0 0 43 48 64 -4.44089209850063e-16
+17 0 2 0 0 44 48 64 -4.44089209850063e-16
+17 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 -4.44089209850063e-16
+18 0 2 0 0 28 48 64 -4.44089209850063e-16
+18 0 2 0 0 29 48 64 -4.44089209850063e-16
+18 0 2 0 0 30 48 64 -4.44089209850063e-16
+18 0 2 0 0 31 48 64 -4.44089209850063e-16
+18 0 2 0 0 32 48 64 -4.44089209850063e-16
+18 0 2 0 0 33 48 64 -4.44089209850063e-16
+18 0 2 0 0 34 48 64 -4.44089209850063e-16
+18 0 2 0 0 35 48 64 -4.44089209850063e-16
+18 0 2 0 0 36 48 64 -4.44089209850063e-16
+18 0 2 0 0 37 48 64 -4.44089209850063e-16
+18 0 2 0 0 38 48 64 -4.44089209850063e-16
+18 0 2 0 0 39 48 64 -4.44089209850063e-16
+18 0 2 0 0 40 48 64 -4.44089209850063e-16
+18 0 2 0 0 41 48 64 -4.44089209850063e-16
+18 0 2 0 0 42 48 64 -4.44089209850063e-16
+18 0 2 0 0 43 48 64 -4.44089209850063e-16
+18 0 2 0 0 44 48 64 -4.44089209850063e-16
+18 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 -4.44089209850063e-16
+18 0 1 0 0 20 48 64 -4.44089209850063e-16
+18 0 1 0 0 22 48 64 -4.44089209850063e-16
+18 0 1 0 0 24 48 64 -4.44089209850063e-16
+18 0 1 0 0 26 48 64 -4.44089209850063e-16
+18 0 1 0 0 28 48 64 -4.44089209850063e-16
+18 0 1 0 0 30 48 64 -4.44089209850063e-16
+18 0 1 0 0 32 48 64 -4.44089209850063e-16
+18 0 1 0 0 34 48 64 -4.44089209850063e-16
+18 0 1 0 0 36 48 64 -4.44089209850063e-16
+18 0 1 0 0 38 48 64 -4.44089209850063e-16
+18 0 1 0 0 40 48 64 -4.44089209850063e-16
+18 0 1 0 0 42 48 64 -4.44089209850063e-16
+18 0 1 0 0 44 48 64 -4.44089209850063e-16
+18 0 1 0 0 46 48 64 -4.44089209850063e-16
+18 0 1 0 0 48 48 64 -4.44089209850063e-16
+18 0 1 0 0 50 48 64 -4.44089209850063e-16
+18 0 1 0 0 52 48 64 -4.44089209850063e-16
+18 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 -4.44089209850063e-16
+19 0 2 0 0 28 48 64 -4.44089209850063e-16
+19 0 2 0 0 29 48 64 -4.44089209850063e-16
+19 0 2 0 0 30 48 64 -4.44089209850063e-16
+19 0 2 0 0 31 48 64 -4.44089209850063e-16
+19 0 2 0 0 32 48 64 -4.44089209850063e-16
+19 0 2 0 0 33 48 64 -4.44089209850063e-16
+19 0 2 0 0 34 48 64 -4.44089209850063e-16
+19 0 2 0 0 35 48 64 -4.44089209850063e-16
+19 0 2 0 0 36 48 64 -4.44089209850063e-16
+19 0 2 0 0 37 48 64 -4.44089209850063e-16
+19 0 2 0 0 38 48 64 -4.44089209850063e-16
+19 0 2 0 0 39 48 64 -4.44089209850063e-16
+19 0 2 0 0 40 48 64 -4.44089209850063e-16
+19 0 2 0 0 41 48 64 -4.44089209850063e-16
+19 0 2 0 0 42 48 64 -4.44089209850063e-16
+19 0 2 0 0 43 48 64 -4.44089209850063e-16
+19 0 2 0 0 44 48 64 -4.44089209850063e-16
+19 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 -4.44089209850063e-16
+20 0 2 0 0 28 48 64 -4.44089209850063e-16
+20 0 2 0 0 29 48 64 -4.44089209850063e-16
+20 0 2 0 0 30 48 64 -4.44089209850063e-16
+20 0 2 0 0 31 48 64 -4.44089209850063e-16
+20 0 2 0 0 32 48 64 -4.44089209850063e-16
+20 0 2 0 0 33 48 64 -4.44089209850063e-16
+20 0 2 0 0 34 48 64 -4.44089209850063e-16
+20 0 2 0 0 35 48 64 -4.44089209850063e-16
+20 0 2 0 0 36 48 64 -4.44089209850063e-16
+20 0 2 0 0 37 48 64 -4.44089209850063e-16
+20 0 2 0 0 38 48 64 -4.44089209850063e-16
+20 0 2 0 0 39 48 64 -4.44089209850063e-16
+20 0 2 0 0 40 48 64 -4.44089209850063e-16
+20 0 2 0 0 41 48 64 -4.44089209850063e-16
+20 0 2 0 0 42 48 64 -4.44089209850063e-16
+20 0 2 0 0 43 48 64 -4.44089209850063e-16
+20 0 2 0 0 44 48 64 -4.44089209850063e-16
+20 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 -4.44089209850063e-16
+20 0 1 0 0 20 48 64 -4.44089209850063e-16
+20 0 1 0 0 22 48 64 -4.44089209850063e-16
+20 0 1 0 0 24 48 64 -4.44089209850063e-16
+20 0 1 0 0 26 48 64 -4.44089209850063e-16
+20 0 1 0 0 28 48 64 -4.44089209850063e-16
+20 0 1 0 0 30 48 64 -4.44089209850063e-16
+20 0 1 0 0 32 48 64 -4.44089209850063e-16
+20 0 1 0 0 34 48 64 -4.44089209850063e-16
+20 0 1 0 0 36 48 64 -4.44089209850063e-16
+20 0 1 0 0 38 48 64 -4.44089209850063e-16
+20 0 1 0 0 40 48 64 -4.44089209850063e-16
+20 0 1 0 0 42 48 64 -4.44089209850063e-16
+20 0 1 0 0 44 48 64 -4.44089209850063e-16
+20 0 1 0 0 46 48 64 -4.44089209850063e-16
+20 0 1 0 0 48 48 64 -4.44089209850063e-16
+20 0 1 0 0 50 48 64 -4.44089209850063e-16
+20 0 1 0 0 52 48 64 -4.44089209850063e-16
+20 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -4.44089209850063e-16
+20 0 0 0 0 4 48 64 -4.44089209850063e-16
+20 0 0 0 0 8 48 64 -4.44089209850063e-16
+20 0 0 0 0 12 48 64 -4.44089209850063e-16
+20 0 0 0 0 16 48 64 -4.44089209850063e-16
+20 0 0 0 0 20 48 64 -4.44089209850063e-16
+20 0 0 0 0 24 48 64 -4.44089209850063e-16
+20 0 0 0 0 28 48 64 -4.44089209850063e-16
+20 0 0 0 0 32 48 64 -4.44089209850063e-16
+20 0 0 0 0 36 48 64 -4.44089209850063e-16
+20 0 0 0 0 40 48 64 -4.44089209850063e-16
+20 0 0 0 0 44 48 64 -4.44089209850063e-16
+20 0 0 0 0 48 48 64 -4.44089209850063e-16
+20 0 0 0 0 52 48 64 -4.44089209850063e-16
+20 0 0 0 0 56 48 64 -4.44089209850063e-16
+20 0 0 0 0 60 48 64 -4.44089209850063e-16
+20 0 0 0 0 64 48 64 -4.44089209850063e-16
+20 0 0 0 0 68 48 64 -4.44089209850063e-16
+20 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 -4.44089209850063e-16
+21 0 2 0 0 28 48 64 -4.44089209850063e-16
+21 0 2 0 0 29 48 64 -4.44089209850063e-16
+21 0 2 0 0 30 48 64 -4.44089209850063e-16
+21 0 2 0 0 31 48 64 -4.44089209850063e-16
+21 0 2 0 0 32 48 64 -4.44089209850063e-16
+21 0 2 0 0 33 48 64 -4.44089209850063e-16
+21 0 2 0 0 34 48 64 -4.44089209850063e-16
+21 0 2 0 0 35 48 64 -4.44089209850063e-16
+21 0 2 0 0 36 48 64 -4.44089209850063e-16
+21 0 2 0 0 37 48 64 -4.44089209850063e-16
+21 0 2 0 0 38 48 64 -4.44089209850063e-16
+21 0 2 0 0 39 48 64 -4.44089209850063e-16
+21 0 2 0 0 40 48 64 -4.44089209850063e-16
+21 0 2 0 0 41 48 64 -4.44089209850063e-16
+21 0 2 0 0 42 48 64 -4.44089209850063e-16
+21 0 2 0 0 43 48 64 -4.44089209850063e-16
+21 0 2 0 0 44 48 64 -4.44089209850063e-16
+21 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 -4.44089209850063e-16
+22 0 2 0 0 28 48 64 -4.44089209850063e-16
+22 0 2 0 0 29 48 64 -4.44089209850063e-16
+22 0 2 0 0 30 48 64 -4.44089209850063e-16
+22 0 2 0 0 31 48 64 -4.44089209850063e-16
+22 0 2 0 0 32 48 64 -4.44089209850063e-16
+22 0 2 0 0 33 48 64 -4.44089209850063e-16
+22 0 2 0 0 34 48 64 -4.44089209850063e-16
+22 0 2 0 0 35 48 64 -4.44089209850063e-16
+22 0 2 0 0 36 48 64 -4.44089209850063e-16
+22 0 2 0 0 37 48 64 -4.44089209850063e-16
+22 0 2 0 0 38 48 64 -4.44089209850063e-16
+22 0 2 0 0 39 48 64 -4.44089209850063e-16
+22 0 2 0 0 40 48 64 -4.44089209850063e-16
+22 0 2 0 0 41 48 64 -4.44089209850063e-16
+22 0 2 0 0 42 48 64 -4.44089209850063e-16
+22 0 2 0 0 43 48 64 -4.44089209850063e-16
+22 0 2 0 0 44 48 64 -4.44089209850063e-16
+22 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 -4.44089209850063e-16
+22 0 1 0 0 20 48 64 -4.44089209850063e-16
+22 0 1 0 0 22 48 64 -4.44089209850063e-16
+22 0 1 0 0 24 48 64 -4.44089209850063e-16
+22 0 1 0 0 26 48 64 -4.44089209850063e-16
+22 0 1 0 0 28 48 64 -4.44089209850063e-16
+22 0 1 0 0 30 48 64 -4.44089209850063e-16
+22 0 1 0 0 32 48 64 -4.44089209850063e-16
+22 0 1 0 0 34 48 64 -4.44089209850063e-16
+22 0 1 0 0 36 48 64 -4.44089209850063e-16
+22 0 1 0 0 38 48 64 -4.44089209850063e-16
+22 0 1 0 0 40 48 64 -4.44089209850063e-16
+22 0 1 0 0 42 48 64 -4.44089209850063e-16
+22 0 1 0 0 44 48 64 -4.44089209850063e-16
+22 0 1 0 0 46 48 64 -4.44089209850063e-16
+22 0 1 0 0 48 48 64 -4.44089209850063e-16
+22 0 1 0 0 50 48 64 -4.44089209850063e-16
+22 0 1 0 0 52 48 64 -4.44089209850063e-16
+22 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 -4.44089209850063e-16
+23 0 2 0 0 28 48 64 -4.44089209850063e-16
+23 0 2 0 0 29 48 64 -4.44089209850063e-16
+23 0 2 0 0 30 48 64 -4.44089209850063e-16
+23 0 2 0 0 31 48 64 -4.44089209850063e-16
+23 0 2 0 0 32 48 64 -4.44089209850063e-16
+23 0 2 0 0 33 48 64 -4.44089209850063e-16
+23 0 2 0 0 34 48 64 -4.44089209850063e-16
+23 0 2 0 0 35 48 64 -4.44089209850063e-16
+23 0 2 0 0 36 48 64 -4.44089209850063e-16
+23 0 2 0 0 37 48 64 -4.44089209850063e-16
+23 0 2 0 0 38 48 64 -4.44089209850063e-16
+23 0 2 0 0 39 48 64 -4.44089209850063e-16
+23 0 2 0 0 40 48 64 -4.44089209850063e-16
+23 0 2 0 0 41 48 64 -4.44089209850063e-16
+23 0 2 0 0 42 48 64 -4.44089209850063e-16
+23 0 2 0 0 43 48 64 -4.44089209850063e-16
+23 0 2 0 0 44 48 64 -4.44089209850063e-16
+23 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 -4.44089209850063e-16
+24 0 2 0 0 28 48 64 -4.44089209850063e-16
+24 0 2 0 0 29 48 64 -4.44089209850063e-16
+24 0 2 0 0 30 48 64 -4.44089209850063e-16
+24 0 2 0 0 31 48 64 -4.44089209850063e-16
+24 0 2 0 0 32 48 64 -4.44089209850063e-16
+24 0 2 0 0 33 48 64 -4.44089209850063e-16
+24 0 2 0 0 34 48 64 -4.44089209850063e-16
+24 0 2 0 0 35 48 64 -4.44089209850063e-16
+24 0 2 0 0 36 48 64 -4.44089209850063e-16
+24 0 2 0 0 37 48 64 -4.44089209850063e-16
+24 0 2 0 0 38 48 64 -4.44089209850063e-16
+24 0 2 0 0 39 48 64 -4.44089209850063e-16
+24 0 2 0 0 40 48 64 -4.44089209850063e-16
+24 0 2 0 0 41 48 64 -4.44089209850063e-16
+24 0 2 0 0 42 48 64 -4.44089209850063e-16
+24 0 2 0 0 43 48 64 -4.44089209850063e-16
+24 0 2 0 0 44 48 64 -4.44089209850063e-16
+24 0 2 0 0 45 48 64 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 -4.44089209850063e-16
+24 0 1 0 0 20 48 64 -4.44089209850063e-16
+24 0 1 0 0 22 48 64 -4.44089209850063e-16
+24 0 1 0 0 24 48 64 -4.44089209850063e-16
+24 0 1 0 0 26 48 64 -4.44089209850063e-16
+24 0 1 0 0 28 48 64 -4.44089209850063e-16
+24 0 1 0 0 30 48 64 -4.44089209850063e-16
+24 0 1 0 0 32 48 64 -4.44089209850063e-16
+24 0 1 0 0 34 48 64 -4.44089209850063e-16
+24 0 1 0 0 36 48 64 -4.44089209850063e-16
+24 0 1 0 0 38 48 64 -4.44089209850063e-16
+24 0 1 0 0 40 48 64 -4.44089209850063e-16
+24 0 1 0 0 42 48 64 -4.44089209850063e-16
+24 0 1 0 0 44 48 64 -4.44089209850063e-16
+24 0 1 0 0 46 48 64 -4.44089209850063e-16
+24 0 1 0 0 48 48 64 -4.44089209850063e-16
+24 0 1 0 0 50 48 64 -4.44089209850063e-16
+24 0 1 0 0 52 48 64 -4.44089209850063e-16
+24 0 1 0 0 54 48 64 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -4.44089209850063e-16
+24 0 0 0 0 4 48 64 -4.44089209850063e-16
+24 0 0 0 0 8 48 64 -4.44089209850063e-16
+24 0 0 0 0 12 48 64 -4.44089209850063e-16
+24 0 0 0 0 16 48 64 -4.44089209850063e-16
+24 0 0 0 0 20 48 64 -4.44089209850063e-16
+24 0 0 0 0 24 48 64 -4.44089209850063e-16
+24 0 0 0 0 28 48 64 -4.44089209850063e-16
+24 0 0 0 0 32 48 64 -4.44089209850063e-16
+24 0 0 0 0 36 48 64 -4.44089209850063e-16
+24 0 0 0 0 40 48 64 -4.44089209850063e-16
+24 0 0 0 0 44 48 64 -4.44089209850063e-16
+24 0 0 0 0 48 48 64 -4.44089209850063e-16
+24 0 0 0 0 52 48 64 -4.44089209850063e-16
+24 0 0 0 0 56 48 64 -4.44089209850063e-16
+24 0 0 0 0 60 48 64 -4.44089209850063e-16
+24 0 0 0 0 64 48 64 -4.44089209850063e-16
+24 0 0 0 0 68 48 64 -4.44089209850063e-16
+24 0 0 0 0 72 48 64 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_y.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_y.yl
new file mode 100644
index 000000000..97fdbd2a8
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_y.yl
@@ -0,0 +1,1397 @@
+# GRID::cart3d_y y (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 -1.35
+0 0 2 0 0 36 40 64 -1.2
+0 0 2 0 0 36 41 64 -1.05
+0 0 2 0 0 36 42 64 -0.9
+0 0 2 0 0 36 43 64 -0.75
+0 0 2 0 0 36 44 64 -0.6
+0 0 2 0 0 36 45 64 -0.45
+0 0 2 0 0 36 46 64 -0.3
+0 0 2 0 0 36 47 64 -0.15
+0 0 2 0 0 36 48 64 -4.44089209850063e-16
+0 0 2 0 0 36 49 64 0.15
+0 0 2 0 0 36 50 64 0.3
+0 0 2 0 0 36 51 64 0.45
+0 0 2 0 0 36 52 64 0.6
+0 0 2 0 0 36 53 64 0.75
+0 0 2 0 0 36 54 64 0.899999999999999
+0 0 2 0 0 36 55 64 1.05
+0 0 2 0 0 36 56 64 1.2
+0 0 2 0 0 36 57 64 1.35
+0 0 2 0 0 36 58 64 1.5
+0 0 2 0 0 36 59 64 1.65
+0 0 2 0 0 36 60 64 1.8
+0 0 2 0 0 36 61 64 1.95
+0 0 2 0 0 36 62 64 2.1
+0 0 2 0 0 36 63 64 2.25
+0 0 2 0 0 36 64 64 2.4
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 -3.3
+0 0 1 0 0 36 28 64 -3
+0 0 1 0 0 36 30 64 -2.7
+0 0 1 0 0 36 32 64 -2.4
+0 0 1 0 0 36 34 64 -2.1
+0 0 1 0 0 36 36 64 -1.8
+0 0 1 0 0 36 38 64 -1.5
+0 0 1 0 0 36 40 64 -1.2
+0 0 1 0 0 36 42 64 -0.9
+0 0 1 0 0 36 44 64 -0.6
+0 0 1 0 0 36 46 64 -0.3
+0 0 1 0 0 36 48 64 -4.44089209850063e-16
+0 0 1 0 0 36 50 64 0.3
+0 0 1 0 0 36 52 64 0.6
+0 0 1 0 0 36 54 64 0.899999999999999
+0 0 1 0 0 36 56 64 1.2
+0 0 1 0 0 36 58 64 1.5
+0 0 1 0 0 36 60 64 1.8
+0 0 1 0 0 36 62 64 2.1
+0 0 1 0 0 36 64 64 2.4
+0 0 1 0 0 36 66 64 2.7
+0 0 1 0 0 36 68 64 3
+0 0 1 0 0 36 70 64 3.3
+0 0 1 0 0 36 72 64 3.6
+0 0 1 0 0 36 74 64 3.9
+0 0 1 0 0 36 76 64 4.2
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -7.2
+0 0 0 0 0 36 4 64 -6.6
+0 0 0 0 0 36 8 64 -6
+0 0 0 0 0 36 12 64 -5.4
+0 0 0 0 0 36 16 64 -4.8
+0 0 0 0 0 36 20 64 -4.2
+0 0 0 0 0 36 24 64 -3.6
+0 0 0 0 0 36 28 64 -3
+0 0 0 0 0 36 32 64 -2.4
+0 0 0 0 0 36 36 64 -1.8
+0 0 0 0 0 36 40 64 -1.2
+0 0 0 0 0 36 44 64 -0.6
+0 0 0 0 0 36 48 64 -4.44089209850063e-16
+0 0 0 0 0 36 52 64 0.6
+0 0 0 0 0 36 56 64 1.2
+0 0 0 0 0 36 60 64 1.8
+0 0 0 0 0 36 64 64 2.4
+0 0 0 0 0 36 68 64 3
+0 0 0 0 0 36 72 64 3.6
+0 0 0 0 0 36 76 64 4.2
+0 0 0 0 0 36 80 64 4.8
+0 0 0 0 0 36 84 64 5.4
+0 0 0 0 0 36 88 64 6
+0 0 0 0 0 36 92 64 6.6
+0 0 0 0 0 36 96 64 7.2
+0 0 0 0 0 36 100 64 7.8
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 -1.35
+1 0 2 0 0 36 40 64 -1.2
+1 0 2 0 0 36 41 64 -1.05
+1 0 2 0 0 36 42 64 -0.9
+1 0 2 0 0 36 43 64 -0.75
+1 0 2 0 0 36 44 64 -0.6
+1 0 2 0 0 36 45 64 -0.45
+1 0 2 0 0 36 46 64 -0.3
+1 0 2 0 0 36 47 64 -0.15
+1 0 2 0 0 36 48 64 -4.44089209850063e-16
+1 0 2 0 0 36 49 64 0.15
+1 0 2 0 0 36 50 64 0.3
+1 0 2 0 0 36 51 64 0.45
+1 0 2 0 0 36 52 64 0.6
+1 0 2 0 0 36 53 64 0.75
+1 0 2 0 0 36 54 64 0.899999999999999
+1 0 2 0 0 36 55 64 1.05
+1 0 2 0 0 36 56 64 1.2
+1 0 2 0 0 36 57 64 1.35
+1 0 2 0 0 36 58 64 1.5
+1 0 2 0 0 36 59 64 1.65
+1 0 2 0 0 36 60 64 1.8
+1 0 2 0 0 36 61 64 1.95
+1 0 2 0 0 36 62 64 2.1
+1 0 2 0 0 36 63 64 2.25
+1 0 2 0 0 36 64 64 2.4
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 -1.35
+2 0 2 0 0 36 40 64 -1.2
+2 0 2 0 0 36 41 64 -1.05
+2 0 2 0 0 36 42 64 -0.9
+2 0 2 0 0 36 43 64 -0.75
+2 0 2 0 0 36 44 64 -0.6
+2 0 2 0 0 36 45 64 -0.45
+2 0 2 0 0 36 46 64 -0.3
+2 0 2 0 0 36 47 64 -0.15
+2 0 2 0 0 36 48 64 -4.44089209850063e-16
+2 0 2 0 0 36 49 64 0.15
+2 0 2 0 0 36 50 64 0.3
+2 0 2 0 0 36 51 64 0.45
+2 0 2 0 0 36 52 64 0.6
+2 0 2 0 0 36 53 64 0.75
+2 0 2 0 0 36 54 64 0.899999999999999
+2 0 2 0 0 36 55 64 1.05
+2 0 2 0 0 36 56 64 1.2
+2 0 2 0 0 36 57 64 1.35
+2 0 2 0 0 36 58 64 1.5
+2 0 2 0 0 36 59 64 1.65
+2 0 2 0 0 36 60 64 1.8
+2 0 2 0 0 36 61 64 1.95
+2 0 2 0 0 36 62 64 2.1
+2 0 2 0 0 36 63 64 2.25
+2 0 2 0 0 36 64 64 2.4
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 -3.3
+2 0 1 0 0 36 28 64 -3
+2 0 1 0 0 36 30 64 -2.7
+2 0 1 0 0 36 32 64 -2.4
+2 0 1 0 0 36 34 64 -2.1
+2 0 1 0 0 36 36 64 -1.8
+2 0 1 0 0 36 38 64 -1.5
+2 0 1 0 0 36 40 64 -1.2
+2 0 1 0 0 36 42 64 -0.9
+2 0 1 0 0 36 44 64 -0.6
+2 0 1 0 0 36 46 64 -0.3
+2 0 1 0 0 36 48 64 -4.44089209850063e-16
+2 0 1 0 0 36 50 64 0.3
+2 0 1 0 0 36 52 64 0.6
+2 0 1 0 0 36 54 64 0.899999999999999
+2 0 1 0 0 36 56 64 1.2
+2 0 1 0 0 36 58 64 1.5
+2 0 1 0 0 36 60 64 1.8
+2 0 1 0 0 36 62 64 2.1
+2 0 1 0 0 36 64 64 2.4
+2 0 1 0 0 36 66 64 2.7
+2 0 1 0 0 36 68 64 3
+2 0 1 0 0 36 70 64 3.3
+2 0 1 0 0 36 72 64 3.6
+2 0 1 0 0 36 74 64 3.9
+2 0 1 0 0 36 76 64 4.2
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 -1.35
+3 0 2 0 0 36 40 64 -1.2
+3 0 2 0 0 36 41 64 -1.05
+3 0 2 0 0 36 42 64 -0.9
+3 0 2 0 0 36 43 64 -0.75
+3 0 2 0 0 36 44 64 -0.6
+3 0 2 0 0 36 45 64 -0.45
+3 0 2 0 0 36 46 64 -0.3
+3 0 2 0 0 36 47 64 -0.15
+3 0 2 0 0 36 48 64 -4.44089209850063e-16
+3 0 2 0 0 36 49 64 0.15
+3 0 2 0 0 36 50 64 0.3
+3 0 2 0 0 36 51 64 0.45
+3 0 2 0 0 36 52 64 0.6
+3 0 2 0 0 36 53 64 0.75
+3 0 2 0 0 36 54 64 0.899999999999999
+3 0 2 0 0 36 55 64 1.05
+3 0 2 0 0 36 56 64 1.2
+3 0 2 0 0 36 57 64 1.35
+3 0 2 0 0 36 58 64 1.5
+3 0 2 0 0 36 59 64 1.65
+3 0 2 0 0 36 60 64 1.8
+3 0 2 0 0 36 61 64 1.95
+3 0 2 0 0 36 62 64 2.1
+3 0 2 0 0 36 63 64 2.25
+3 0 2 0 0 36 64 64 2.4
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 -1.35
+4 0 2 0 0 36 40 64 -1.2
+4 0 2 0 0 36 41 64 -1.05
+4 0 2 0 0 36 42 64 -0.9
+4 0 2 0 0 36 43 64 -0.75
+4 0 2 0 0 36 44 64 -0.6
+4 0 2 0 0 36 45 64 -0.45
+4 0 2 0 0 36 46 64 -0.3
+4 0 2 0 0 36 47 64 -0.15
+4 0 2 0 0 36 48 64 -4.44089209850063e-16
+4 0 2 0 0 36 49 64 0.15
+4 0 2 0 0 36 50 64 0.3
+4 0 2 0 0 36 51 64 0.45
+4 0 2 0 0 36 52 64 0.6
+4 0 2 0 0 36 53 64 0.75
+4 0 2 0 0 36 54 64 0.899999999999999
+4 0 2 0 0 36 55 64 1.05
+4 0 2 0 0 36 56 64 1.2
+4 0 2 0 0 36 57 64 1.35
+4 0 2 0 0 36 58 64 1.5
+4 0 2 0 0 36 59 64 1.65
+4 0 2 0 0 36 60 64 1.8
+4 0 2 0 0 36 61 64 1.95
+4 0 2 0 0 36 62 64 2.1
+4 0 2 0 0 36 63 64 2.25
+4 0 2 0 0 36 64 64 2.4
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 -3.3
+4 0 1 0 0 36 28 64 -3
+4 0 1 0 0 36 30 64 -2.7
+4 0 1 0 0 36 32 64 -2.4
+4 0 1 0 0 36 34 64 -2.1
+4 0 1 0 0 36 36 64 -1.8
+4 0 1 0 0 36 38 64 -1.5
+4 0 1 0 0 36 40 64 -1.2
+4 0 1 0 0 36 42 64 -0.9
+4 0 1 0 0 36 44 64 -0.6
+4 0 1 0 0 36 46 64 -0.3
+4 0 1 0 0 36 48 64 -4.44089209850063e-16
+4 0 1 0 0 36 50 64 0.3
+4 0 1 0 0 36 52 64 0.6
+4 0 1 0 0 36 54 64 0.899999999999999
+4 0 1 0 0 36 56 64 1.2
+4 0 1 0 0 36 58 64 1.5
+4 0 1 0 0 36 60 64 1.8
+4 0 1 0 0 36 62 64 2.1
+4 0 1 0 0 36 64 64 2.4
+4 0 1 0 0 36 66 64 2.7
+4 0 1 0 0 36 68 64 3
+4 0 1 0 0 36 70 64 3.3
+4 0 1 0 0 36 72 64 3.6
+4 0 1 0 0 36 74 64 3.9
+4 0 1 0 0 36 76 64 4.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 -7.2
+4 0 0 0 0 36 4 64 -6.6
+4 0 0 0 0 36 8 64 -6
+4 0 0 0 0 36 12 64 -5.4
+4 0 0 0 0 36 16 64 -4.8
+4 0 0 0 0 36 20 64 -4.2
+4 0 0 0 0 36 24 64 -3.6
+4 0 0 0 0 36 28 64 -3
+4 0 0 0 0 36 32 64 -2.4
+4 0 0 0 0 36 36 64 -1.8
+4 0 0 0 0 36 40 64 -1.2
+4 0 0 0 0 36 44 64 -0.6
+4 0 0 0 0 36 48 64 -4.44089209850063e-16
+4 0 0 0 0 36 52 64 0.6
+4 0 0 0 0 36 56 64 1.2
+4 0 0 0 0 36 60 64 1.8
+4 0 0 0 0 36 64 64 2.4
+4 0 0 0 0 36 68 64 3
+4 0 0 0 0 36 72 64 3.6
+4 0 0 0 0 36 76 64 4.2
+4 0 0 0 0 36 80 64 4.8
+4 0 0 0 0 36 84 64 5.4
+4 0 0 0 0 36 88 64 6
+4 0 0 0 0 36 92 64 6.6
+4 0 0 0 0 36 96 64 7.2
+4 0 0 0 0 36 100 64 7.8
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 -1.35
+5 0 2 0 0 36 40 64 -1.2
+5 0 2 0 0 36 41 64 -1.05
+5 0 2 0 0 36 42 64 -0.9
+5 0 2 0 0 36 43 64 -0.75
+5 0 2 0 0 36 44 64 -0.6
+5 0 2 0 0 36 45 64 -0.45
+5 0 2 0 0 36 46 64 -0.3
+5 0 2 0 0 36 47 64 -0.15
+5 0 2 0 0 36 48 64 -4.44089209850063e-16
+5 0 2 0 0 36 49 64 0.15
+5 0 2 0 0 36 50 64 0.3
+5 0 2 0 0 36 51 64 0.45
+5 0 2 0 0 36 52 64 0.6
+5 0 2 0 0 36 53 64 0.75
+5 0 2 0 0 36 54 64 0.899999999999999
+5 0 2 0 0 36 55 64 1.05
+5 0 2 0 0 36 56 64 1.2
+5 0 2 0 0 36 57 64 1.35
+5 0 2 0 0 36 58 64 1.5
+5 0 2 0 0 36 59 64 1.65
+5 0 2 0 0 36 60 64 1.8
+5 0 2 0 0 36 61 64 1.95
+5 0 2 0 0 36 62 64 2.1
+5 0 2 0 0 36 63 64 2.25
+5 0 2 0 0 36 64 64 2.4
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 -1.35
+6 0 2 0 0 36 40 64 -1.2
+6 0 2 0 0 36 41 64 -1.05
+6 0 2 0 0 36 42 64 -0.9
+6 0 2 0 0 36 43 64 -0.75
+6 0 2 0 0 36 44 64 -0.6
+6 0 2 0 0 36 45 64 -0.45
+6 0 2 0 0 36 46 64 -0.3
+6 0 2 0 0 36 47 64 -0.15
+6 0 2 0 0 36 48 64 -4.44089209850063e-16
+6 0 2 0 0 36 49 64 0.15
+6 0 2 0 0 36 50 64 0.3
+6 0 2 0 0 36 51 64 0.45
+6 0 2 0 0 36 52 64 0.6
+6 0 2 0 0 36 53 64 0.75
+6 0 2 0 0 36 54 64 0.899999999999999
+6 0 2 0 0 36 55 64 1.05
+6 0 2 0 0 36 56 64 1.2
+6 0 2 0 0 36 57 64 1.35
+6 0 2 0 0 36 58 64 1.5
+6 0 2 0 0 36 59 64 1.65
+6 0 2 0 0 36 60 64 1.8
+6 0 2 0 0 36 61 64 1.95
+6 0 2 0 0 36 62 64 2.1
+6 0 2 0 0 36 63 64 2.25
+6 0 2 0 0 36 64 64 2.4
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 -3.3
+6 0 1 0 0 36 28 64 -3
+6 0 1 0 0 36 30 64 -2.7
+6 0 1 0 0 36 32 64 -2.4
+6 0 1 0 0 36 34 64 -2.1
+6 0 1 0 0 36 36 64 -1.8
+6 0 1 0 0 36 38 64 -1.5
+6 0 1 0 0 36 40 64 -1.2
+6 0 1 0 0 36 42 64 -0.9
+6 0 1 0 0 36 44 64 -0.6
+6 0 1 0 0 36 46 64 -0.3
+6 0 1 0 0 36 48 64 -4.44089209850063e-16
+6 0 1 0 0 36 50 64 0.3
+6 0 1 0 0 36 52 64 0.6
+6 0 1 0 0 36 54 64 0.899999999999999
+6 0 1 0 0 36 56 64 1.2
+6 0 1 0 0 36 58 64 1.5
+6 0 1 0 0 36 60 64 1.8
+6 0 1 0 0 36 62 64 2.1
+6 0 1 0 0 36 64 64 2.4
+6 0 1 0 0 36 66 64 2.7
+6 0 1 0 0 36 68 64 3
+6 0 1 0 0 36 70 64 3.3
+6 0 1 0 0 36 72 64 3.6
+6 0 1 0 0 36 74 64 3.9
+6 0 1 0 0 36 76 64 4.2
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 -1.35
+7 0 2 0 0 36 40 64 -1.2
+7 0 2 0 0 36 41 64 -1.05
+7 0 2 0 0 36 42 64 -0.9
+7 0 2 0 0 36 43 64 -0.75
+7 0 2 0 0 36 44 64 -0.6
+7 0 2 0 0 36 45 64 -0.45
+7 0 2 0 0 36 46 64 -0.3
+7 0 2 0 0 36 47 64 -0.15
+7 0 2 0 0 36 48 64 -4.44089209850063e-16
+7 0 2 0 0 36 49 64 0.15
+7 0 2 0 0 36 50 64 0.3
+7 0 2 0 0 36 51 64 0.45
+7 0 2 0 0 36 52 64 0.6
+7 0 2 0 0 36 53 64 0.75
+7 0 2 0 0 36 54 64 0.899999999999999
+7 0 2 0 0 36 55 64 1.05
+7 0 2 0 0 36 56 64 1.2
+7 0 2 0 0 36 57 64 1.35
+7 0 2 0 0 36 58 64 1.5
+7 0 2 0 0 36 59 64 1.65
+7 0 2 0 0 36 60 64 1.8
+7 0 2 0 0 36 61 64 1.95
+7 0 2 0 0 36 62 64 2.1
+7 0 2 0 0 36 63 64 2.25
+7 0 2 0 0 36 64 64 2.4
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 -1.35
+8 0 2 0 0 36 40 64 -1.2
+8 0 2 0 0 36 41 64 -1.05
+8 0 2 0 0 36 42 64 -0.9
+8 0 2 0 0 36 43 64 -0.75
+8 0 2 0 0 36 44 64 -0.6
+8 0 2 0 0 36 45 64 -0.45
+8 0 2 0 0 36 46 64 -0.3
+8 0 2 0 0 36 47 64 -0.15
+8 0 2 0 0 36 48 64 -4.44089209850063e-16
+8 0 2 0 0 36 49 64 0.15
+8 0 2 0 0 36 50 64 0.3
+8 0 2 0 0 36 51 64 0.45
+8 0 2 0 0 36 52 64 0.6
+8 0 2 0 0 36 53 64 0.75
+8 0 2 0 0 36 54 64 0.899999999999999
+8 0 2 0 0 36 55 64 1.05
+8 0 2 0 0 36 56 64 1.2
+8 0 2 0 0 36 57 64 1.35
+8 0 2 0 0 36 58 64 1.5
+8 0 2 0 0 36 59 64 1.65
+8 0 2 0 0 36 60 64 1.8
+8 0 2 0 0 36 61 64 1.95
+8 0 2 0 0 36 62 64 2.1
+8 0 2 0 0 36 63 64 2.25
+8 0 2 0 0 36 64 64 2.4
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 -3.3
+8 0 1 0 0 36 28 64 -3
+8 0 1 0 0 36 30 64 -2.7
+8 0 1 0 0 36 32 64 -2.4
+8 0 1 0 0 36 34 64 -2.1
+8 0 1 0 0 36 36 64 -1.8
+8 0 1 0 0 36 38 64 -1.5
+8 0 1 0 0 36 40 64 -1.2
+8 0 1 0 0 36 42 64 -0.9
+8 0 1 0 0 36 44 64 -0.6
+8 0 1 0 0 36 46 64 -0.3
+8 0 1 0 0 36 48 64 -4.44089209850063e-16
+8 0 1 0 0 36 50 64 0.3
+8 0 1 0 0 36 52 64 0.6
+8 0 1 0 0 36 54 64 0.899999999999999
+8 0 1 0 0 36 56 64 1.2
+8 0 1 0 0 36 58 64 1.5
+8 0 1 0 0 36 60 64 1.8
+8 0 1 0 0 36 62 64 2.1
+8 0 1 0 0 36 64 64 2.4
+8 0 1 0 0 36 66 64 2.7
+8 0 1 0 0 36 68 64 3
+8 0 1 0 0 36 70 64 3.3
+8 0 1 0 0 36 72 64 3.6
+8 0 1 0 0 36 74 64 3.9
+8 0 1 0 0 36 76 64 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 -7.2
+8 0 0 0 0 36 4 64 -6.6
+8 0 0 0 0 36 8 64 -6
+8 0 0 0 0 36 12 64 -5.4
+8 0 0 0 0 36 16 64 -4.8
+8 0 0 0 0 36 20 64 -4.2
+8 0 0 0 0 36 24 64 -3.6
+8 0 0 0 0 36 28 64 -3
+8 0 0 0 0 36 32 64 -2.4
+8 0 0 0 0 36 36 64 -1.8
+8 0 0 0 0 36 40 64 -1.2
+8 0 0 0 0 36 44 64 -0.6
+8 0 0 0 0 36 48 64 -4.44089209850063e-16
+8 0 0 0 0 36 52 64 0.6
+8 0 0 0 0 36 56 64 1.2
+8 0 0 0 0 36 60 64 1.8
+8 0 0 0 0 36 64 64 2.4
+8 0 0 0 0 36 68 64 3
+8 0 0 0 0 36 72 64 3.6
+8 0 0 0 0 36 76 64 4.2
+8 0 0 0 0 36 80 64 4.8
+8 0 0 0 0 36 84 64 5.4
+8 0 0 0 0 36 88 64 6
+8 0 0 0 0 36 92 64 6.6
+8 0 0 0 0 36 96 64 7.2
+8 0 0 0 0 36 100 64 7.8
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 -1.35
+9 0 2 0 0 36 40 64 -1.2
+9 0 2 0 0 36 41 64 -1.05
+9 0 2 0 0 36 42 64 -0.9
+9 0 2 0 0 36 43 64 -0.75
+9 0 2 0 0 36 44 64 -0.6
+9 0 2 0 0 36 45 64 -0.45
+9 0 2 0 0 36 46 64 -0.3
+9 0 2 0 0 36 47 64 -0.15
+9 0 2 0 0 36 48 64 -4.44089209850063e-16
+9 0 2 0 0 36 49 64 0.15
+9 0 2 0 0 36 50 64 0.3
+9 0 2 0 0 36 51 64 0.45
+9 0 2 0 0 36 52 64 0.6
+9 0 2 0 0 36 53 64 0.75
+9 0 2 0 0 36 54 64 0.899999999999999
+9 0 2 0 0 36 55 64 1.05
+9 0 2 0 0 36 56 64 1.2
+9 0 2 0 0 36 57 64 1.35
+9 0 2 0 0 36 58 64 1.5
+9 0 2 0 0 36 59 64 1.65
+9 0 2 0 0 36 60 64 1.8
+9 0 2 0 0 36 61 64 1.95
+9 0 2 0 0 36 62 64 2.1
+9 0 2 0 0 36 63 64 2.25
+9 0 2 0 0 36 64 64 2.4
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 -1.35
+10 0 2 0 0 36 40 64 -1.2
+10 0 2 0 0 36 41 64 -1.05
+10 0 2 0 0 36 42 64 -0.9
+10 0 2 0 0 36 43 64 -0.75
+10 0 2 0 0 36 44 64 -0.6
+10 0 2 0 0 36 45 64 -0.45
+10 0 2 0 0 36 46 64 -0.3
+10 0 2 0 0 36 47 64 -0.15
+10 0 2 0 0 36 48 64 -4.44089209850063e-16
+10 0 2 0 0 36 49 64 0.15
+10 0 2 0 0 36 50 64 0.3
+10 0 2 0 0 36 51 64 0.45
+10 0 2 0 0 36 52 64 0.6
+10 0 2 0 0 36 53 64 0.75
+10 0 2 0 0 36 54 64 0.899999999999999
+10 0 2 0 0 36 55 64 1.05
+10 0 2 0 0 36 56 64 1.2
+10 0 2 0 0 36 57 64 1.35
+10 0 2 0 0 36 58 64 1.5
+10 0 2 0 0 36 59 64 1.65
+10 0 2 0 0 36 60 64 1.8
+10 0 2 0 0 36 61 64 1.95
+10 0 2 0 0 36 62 64 2.1
+10 0 2 0 0 36 63 64 2.25
+10 0 2 0 0 36 64 64 2.4
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 -3.3
+10 0 1 0 0 36 28 64 -3
+10 0 1 0 0 36 30 64 -2.7
+10 0 1 0 0 36 32 64 -2.4
+10 0 1 0 0 36 34 64 -2.1
+10 0 1 0 0 36 36 64 -1.8
+10 0 1 0 0 36 38 64 -1.5
+10 0 1 0 0 36 40 64 -1.2
+10 0 1 0 0 36 42 64 -0.9
+10 0 1 0 0 36 44 64 -0.6
+10 0 1 0 0 36 46 64 -0.3
+10 0 1 0 0 36 48 64 -4.44089209850063e-16
+10 0 1 0 0 36 50 64 0.3
+10 0 1 0 0 36 52 64 0.6
+10 0 1 0 0 36 54 64 0.899999999999999
+10 0 1 0 0 36 56 64 1.2
+10 0 1 0 0 36 58 64 1.5
+10 0 1 0 0 36 60 64 1.8
+10 0 1 0 0 36 62 64 2.1
+10 0 1 0 0 36 64 64 2.4
+10 0 1 0 0 36 66 64 2.7
+10 0 1 0 0 36 68 64 3
+10 0 1 0 0 36 70 64 3.3
+10 0 1 0 0 36 72 64 3.6
+10 0 1 0 0 36 74 64 3.9
+10 0 1 0 0 36 76 64 4.2
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 -1.35
+11 0 2 0 0 36 40 64 -1.2
+11 0 2 0 0 36 41 64 -1.05
+11 0 2 0 0 36 42 64 -0.9
+11 0 2 0 0 36 43 64 -0.75
+11 0 2 0 0 36 44 64 -0.6
+11 0 2 0 0 36 45 64 -0.45
+11 0 2 0 0 36 46 64 -0.3
+11 0 2 0 0 36 47 64 -0.15
+11 0 2 0 0 36 48 64 -4.44089209850063e-16
+11 0 2 0 0 36 49 64 0.15
+11 0 2 0 0 36 50 64 0.3
+11 0 2 0 0 36 51 64 0.45
+11 0 2 0 0 36 52 64 0.6
+11 0 2 0 0 36 53 64 0.75
+11 0 2 0 0 36 54 64 0.899999999999999
+11 0 2 0 0 36 55 64 1.05
+11 0 2 0 0 36 56 64 1.2
+11 0 2 0 0 36 57 64 1.35
+11 0 2 0 0 36 58 64 1.5
+11 0 2 0 0 36 59 64 1.65
+11 0 2 0 0 36 60 64 1.8
+11 0 2 0 0 36 61 64 1.95
+11 0 2 0 0 36 62 64 2.1
+11 0 2 0 0 36 63 64 2.25
+11 0 2 0 0 36 64 64 2.4
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 -1.35
+12 0 2 0 0 36 40 64 -1.2
+12 0 2 0 0 36 41 64 -1.05
+12 0 2 0 0 36 42 64 -0.9
+12 0 2 0 0 36 43 64 -0.75
+12 0 2 0 0 36 44 64 -0.6
+12 0 2 0 0 36 45 64 -0.45
+12 0 2 0 0 36 46 64 -0.3
+12 0 2 0 0 36 47 64 -0.15
+12 0 2 0 0 36 48 64 -4.44089209850063e-16
+12 0 2 0 0 36 49 64 0.15
+12 0 2 0 0 36 50 64 0.3
+12 0 2 0 0 36 51 64 0.45
+12 0 2 0 0 36 52 64 0.6
+12 0 2 0 0 36 53 64 0.75
+12 0 2 0 0 36 54 64 0.899999999999999
+12 0 2 0 0 36 55 64 1.05
+12 0 2 0 0 36 56 64 1.2
+12 0 2 0 0 36 57 64 1.35
+12 0 2 0 0 36 58 64 1.5
+12 0 2 0 0 36 59 64 1.65
+12 0 2 0 0 36 60 64 1.8
+12 0 2 0 0 36 61 64 1.95
+12 0 2 0 0 36 62 64 2.1
+12 0 2 0 0 36 63 64 2.25
+12 0 2 0 0 36 64 64 2.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 -3.3
+12 0 1 0 0 36 28 64 -3
+12 0 1 0 0 36 30 64 -2.7
+12 0 1 0 0 36 32 64 -2.4
+12 0 1 0 0 36 34 64 -2.1
+12 0 1 0 0 36 36 64 -1.8
+12 0 1 0 0 36 38 64 -1.5
+12 0 1 0 0 36 40 64 -1.2
+12 0 1 0 0 36 42 64 -0.9
+12 0 1 0 0 36 44 64 -0.6
+12 0 1 0 0 36 46 64 -0.3
+12 0 1 0 0 36 48 64 -4.44089209850063e-16
+12 0 1 0 0 36 50 64 0.3
+12 0 1 0 0 36 52 64 0.6
+12 0 1 0 0 36 54 64 0.899999999999999
+12 0 1 0 0 36 56 64 1.2
+12 0 1 0 0 36 58 64 1.5
+12 0 1 0 0 36 60 64 1.8
+12 0 1 0 0 36 62 64 2.1
+12 0 1 0 0 36 64 64 2.4
+12 0 1 0 0 36 66 64 2.7
+12 0 1 0 0 36 68 64 3
+12 0 1 0 0 36 70 64 3.3
+12 0 1 0 0 36 72 64 3.6
+12 0 1 0 0 36 74 64 3.9
+12 0 1 0 0 36 76 64 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 -7.2
+12 0 0 0 0 36 4 64 -6.6
+12 0 0 0 0 36 8 64 -6
+12 0 0 0 0 36 12 64 -5.4
+12 0 0 0 0 36 16 64 -4.8
+12 0 0 0 0 36 20 64 -4.2
+12 0 0 0 0 36 24 64 -3.6
+12 0 0 0 0 36 28 64 -3
+12 0 0 0 0 36 32 64 -2.4
+12 0 0 0 0 36 36 64 -1.8
+12 0 0 0 0 36 40 64 -1.2
+12 0 0 0 0 36 44 64 -0.6
+12 0 0 0 0 36 48 64 -4.44089209850063e-16
+12 0 0 0 0 36 52 64 0.6
+12 0 0 0 0 36 56 64 1.2
+12 0 0 0 0 36 60 64 1.8
+12 0 0 0 0 36 64 64 2.4
+12 0 0 0 0 36 68 64 3
+12 0 0 0 0 36 72 64 3.6
+12 0 0 0 0 36 76 64 4.2
+12 0 0 0 0 36 80 64 4.8
+12 0 0 0 0 36 84 64 5.4
+12 0 0 0 0 36 88 64 6
+12 0 0 0 0 36 92 64 6.6
+12 0 0 0 0 36 96 64 7.2
+12 0 0 0 0 36 100 64 7.8
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 -1.35
+13 0 2 0 0 36 40 64 -1.2
+13 0 2 0 0 36 41 64 -1.05
+13 0 2 0 0 36 42 64 -0.9
+13 0 2 0 0 36 43 64 -0.75
+13 0 2 0 0 36 44 64 -0.6
+13 0 2 0 0 36 45 64 -0.45
+13 0 2 0 0 36 46 64 -0.3
+13 0 2 0 0 36 47 64 -0.15
+13 0 2 0 0 36 48 64 -4.44089209850063e-16
+13 0 2 0 0 36 49 64 0.15
+13 0 2 0 0 36 50 64 0.3
+13 0 2 0 0 36 51 64 0.45
+13 0 2 0 0 36 52 64 0.6
+13 0 2 0 0 36 53 64 0.75
+13 0 2 0 0 36 54 64 0.899999999999999
+13 0 2 0 0 36 55 64 1.05
+13 0 2 0 0 36 56 64 1.2
+13 0 2 0 0 36 57 64 1.35
+13 0 2 0 0 36 58 64 1.5
+13 0 2 0 0 36 59 64 1.65
+13 0 2 0 0 36 60 64 1.8
+13 0 2 0 0 36 61 64 1.95
+13 0 2 0 0 36 62 64 2.1
+13 0 2 0 0 36 63 64 2.25
+13 0 2 0 0 36 64 64 2.4
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 -1.35
+14 0 2 0 0 36 40 64 -1.2
+14 0 2 0 0 36 41 64 -1.05
+14 0 2 0 0 36 42 64 -0.9
+14 0 2 0 0 36 43 64 -0.75
+14 0 2 0 0 36 44 64 -0.6
+14 0 2 0 0 36 45 64 -0.45
+14 0 2 0 0 36 46 64 -0.3
+14 0 2 0 0 36 47 64 -0.15
+14 0 2 0 0 36 48 64 -4.44089209850063e-16
+14 0 2 0 0 36 49 64 0.15
+14 0 2 0 0 36 50 64 0.3
+14 0 2 0 0 36 51 64 0.45
+14 0 2 0 0 36 52 64 0.6
+14 0 2 0 0 36 53 64 0.75
+14 0 2 0 0 36 54 64 0.899999999999999
+14 0 2 0 0 36 55 64 1.05
+14 0 2 0 0 36 56 64 1.2
+14 0 2 0 0 36 57 64 1.35
+14 0 2 0 0 36 58 64 1.5
+14 0 2 0 0 36 59 64 1.65
+14 0 2 0 0 36 60 64 1.8
+14 0 2 0 0 36 61 64 1.95
+14 0 2 0 0 36 62 64 2.1
+14 0 2 0 0 36 63 64 2.25
+14 0 2 0 0 36 64 64 2.4
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 -3.3
+14 0 1 0 0 36 28 64 -3
+14 0 1 0 0 36 30 64 -2.7
+14 0 1 0 0 36 32 64 -2.4
+14 0 1 0 0 36 34 64 -2.1
+14 0 1 0 0 36 36 64 -1.8
+14 0 1 0 0 36 38 64 -1.5
+14 0 1 0 0 36 40 64 -1.2
+14 0 1 0 0 36 42 64 -0.9
+14 0 1 0 0 36 44 64 -0.6
+14 0 1 0 0 36 46 64 -0.3
+14 0 1 0 0 36 48 64 -4.44089209850063e-16
+14 0 1 0 0 36 50 64 0.3
+14 0 1 0 0 36 52 64 0.6
+14 0 1 0 0 36 54 64 0.899999999999999
+14 0 1 0 0 36 56 64 1.2
+14 0 1 0 0 36 58 64 1.5
+14 0 1 0 0 36 60 64 1.8
+14 0 1 0 0 36 62 64 2.1
+14 0 1 0 0 36 64 64 2.4
+14 0 1 0 0 36 66 64 2.7
+14 0 1 0 0 36 68 64 3
+14 0 1 0 0 36 70 64 3.3
+14 0 1 0 0 36 72 64 3.6
+14 0 1 0 0 36 74 64 3.9
+14 0 1 0 0 36 76 64 4.2
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 -1.35
+15 0 2 0 0 36 40 64 -1.2
+15 0 2 0 0 36 41 64 -1.05
+15 0 2 0 0 36 42 64 -0.9
+15 0 2 0 0 36 43 64 -0.75
+15 0 2 0 0 36 44 64 -0.6
+15 0 2 0 0 36 45 64 -0.45
+15 0 2 0 0 36 46 64 -0.3
+15 0 2 0 0 36 47 64 -0.15
+15 0 2 0 0 36 48 64 -4.44089209850063e-16
+15 0 2 0 0 36 49 64 0.15
+15 0 2 0 0 36 50 64 0.3
+15 0 2 0 0 36 51 64 0.45
+15 0 2 0 0 36 52 64 0.6
+15 0 2 0 0 36 53 64 0.75
+15 0 2 0 0 36 54 64 0.899999999999999
+15 0 2 0 0 36 55 64 1.05
+15 0 2 0 0 36 56 64 1.2
+15 0 2 0 0 36 57 64 1.35
+15 0 2 0 0 36 58 64 1.5
+15 0 2 0 0 36 59 64 1.65
+15 0 2 0 0 36 60 64 1.8
+15 0 2 0 0 36 61 64 1.95
+15 0 2 0 0 36 62 64 2.1
+15 0 2 0 0 36 63 64 2.25
+15 0 2 0 0 36 64 64 2.4
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 -1.35
+16 0 2 0 0 36 40 64 -1.2
+16 0 2 0 0 36 41 64 -1.05
+16 0 2 0 0 36 42 64 -0.9
+16 0 2 0 0 36 43 64 -0.75
+16 0 2 0 0 36 44 64 -0.6
+16 0 2 0 0 36 45 64 -0.45
+16 0 2 0 0 36 46 64 -0.3
+16 0 2 0 0 36 47 64 -0.15
+16 0 2 0 0 36 48 64 -4.44089209850063e-16
+16 0 2 0 0 36 49 64 0.15
+16 0 2 0 0 36 50 64 0.3
+16 0 2 0 0 36 51 64 0.45
+16 0 2 0 0 36 52 64 0.6
+16 0 2 0 0 36 53 64 0.75
+16 0 2 0 0 36 54 64 0.899999999999999
+16 0 2 0 0 36 55 64 1.05
+16 0 2 0 0 36 56 64 1.2
+16 0 2 0 0 36 57 64 1.35
+16 0 2 0 0 36 58 64 1.5
+16 0 2 0 0 36 59 64 1.65
+16 0 2 0 0 36 60 64 1.8
+16 0 2 0 0 36 61 64 1.95
+16 0 2 0 0 36 62 64 2.1
+16 0 2 0 0 36 63 64 2.25
+16 0 2 0 0 36 64 64 2.4
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 -3.3
+16 0 1 0 0 36 28 64 -3
+16 0 1 0 0 36 30 64 -2.7
+16 0 1 0 0 36 32 64 -2.4
+16 0 1 0 0 36 34 64 -2.1
+16 0 1 0 0 36 36 64 -1.8
+16 0 1 0 0 36 38 64 -1.5
+16 0 1 0 0 36 40 64 -1.2
+16 0 1 0 0 36 42 64 -0.9
+16 0 1 0 0 36 44 64 -0.6
+16 0 1 0 0 36 46 64 -0.3
+16 0 1 0 0 36 48 64 -4.44089209850063e-16
+16 0 1 0 0 36 50 64 0.3
+16 0 1 0 0 36 52 64 0.6
+16 0 1 0 0 36 54 64 0.899999999999999
+16 0 1 0 0 36 56 64 1.2
+16 0 1 0 0 36 58 64 1.5
+16 0 1 0 0 36 60 64 1.8
+16 0 1 0 0 36 62 64 2.1
+16 0 1 0 0 36 64 64 2.4
+16 0 1 0 0 36 66 64 2.7
+16 0 1 0 0 36 68 64 3
+16 0 1 0 0 36 70 64 3.3
+16 0 1 0 0 36 72 64 3.6
+16 0 1 0 0 36 74 64 3.9
+16 0 1 0 0 36 76 64 4.2
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 -7.2
+16 0 0 0 0 36 4 64 -6.6
+16 0 0 0 0 36 8 64 -6
+16 0 0 0 0 36 12 64 -5.4
+16 0 0 0 0 36 16 64 -4.8
+16 0 0 0 0 36 20 64 -4.2
+16 0 0 0 0 36 24 64 -3.6
+16 0 0 0 0 36 28 64 -3
+16 0 0 0 0 36 32 64 -2.4
+16 0 0 0 0 36 36 64 -1.8
+16 0 0 0 0 36 40 64 -1.2
+16 0 0 0 0 36 44 64 -0.6
+16 0 0 0 0 36 48 64 -4.44089209850063e-16
+16 0 0 0 0 36 52 64 0.6
+16 0 0 0 0 36 56 64 1.2
+16 0 0 0 0 36 60 64 1.8
+16 0 0 0 0 36 64 64 2.4
+16 0 0 0 0 36 68 64 3
+16 0 0 0 0 36 72 64 3.6
+16 0 0 0 0 36 76 64 4.2
+16 0 0 0 0 36 80 64 4.8
+16 0 0 0 0 36 84 64 5.4
+16 0 0 0 0 36 88 64 6
+16 0 0 0 0 36 92 64 6.6
+16 0 0 0 0 36 96 64 7.2
+16 0 0 0 0 36 100 64 7.8
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 -1.35
+17 0 2 0 0 36 40 64 -1.2
+17 0 2 0 0 36 41 64 -1.05
+17 0 2 0 0 36 42 64 -0.9
+17 0 2 0 0 36 43 64 -0.75
+17 0 2 0 0 36 44 64 -0.6
+17 0 2 0 0 36 45 64 -0.45
+17 0 2 0 0 36 46 64 -0.3
+17 0 2 0 0 36 47 64 -0.15
+17 0 2 0 0 36 48 64 -4.44089209850063e-16
+17 0 2 0 0 36 49 64 0.15
+17 0 2 0 0 36 50 64 0.3
+17 0 2 0 0 36 51 64 0.45
+17 0 2 0 0 36 52 64 0.6
+17 0 2 0 0 36 53 64 0.75
+17 0 2 0 0 36 54 64 0.899999999999999
+17 0 2 0 0 36 55 64 1.05
+17 0 2 0 0 36 56 64 1.2
+17 0 2 0 0 36 57 64 1.35
+17 0 2 0 0 36 58 64 1.5
+17 0 2 0 0 36 59 64 1.65
+17 0 2 0 0 36 60 64 1.8
+17 0 2 0 0 36 61 64 1.95
+17 0 2 0 0 36 62 64 2.1
+17 0 2 0 0 36 63 64 2.25
+17 0 2 0 0 36 64 64 2.4
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 -1.35
+18 0 2 0 0 36 40 64 -1.2
+18 0 2 0 0 36 41 64 -1.05
+18 0 2 0 0 36 42 64 -0.9
+18 0 2 0 0 36 43 64 -0.75
+18 0 2 0 0 36 44 64 -0.6
+18 0 2 0 0 36 45 64 -0.45
+18 0 2 0 0 36 46 64 -0.3
+18 0 2 0 0 36 47 64 -0.15
+18 0 2 0 0 36 48 64 -4.44089209850063e-16
+18 0 2 0 0 36 49 64 0.15
+18 0 2 0 0 36 50 64 0.3
+18 0 2 0 0 36 51 64 0.45
+18 0 2 0 0 36 52 64 0.6
+18 0 2 0 0 36 53 64 0.75
+18 0 2 0 0 36 54 64 0.899999999999999
+18 0 2 0 0 36 55 64 1.05
+18 0 2 0 0 36 56 64 1.2
+18 0 2 0 0 36 57 64 1.35
+18 0 2 0 0 36 58 64 1.5
+18 0 2 0 0 36 59 64 1.65
+18 0 2 0 0 36 60 64 1.8
+18 0 2 0 0 36 61 64 1.95
+18 0 2 0 0 36 62 64 2.1
+18 0 2 0 0 36 63 64 2.25
+18 0 2 0 0 36 64 64 2.4
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 -3.3
+18 0 1 0 0 36 28 64 -3
+18 0 1 0 0 36 30 64 -2.7
+18 0 1 0 0 36 32 64 -2.4
+18 0 1 0 0 36 34 64 -2.1
+18 0 1 0 0 36 36 64 -1.8
+18 0 1 0 0 36 38 64 -1.5
+18 0 1 0 0 36 40 64 -1.2
+18 0 1 0 0 36 42 64 -0.9
+18 0 1 0 0 36 44 64 -0.6
+18 0 1 0 0 36 46 64 -0.3
+18 0 1 0 0 36 48 64 -4.44089209850063e-16
+18 0 1 0 0 36 50 64 0.3
+18 0 1 0 0 36 52 64 0.6
+18 0 1 0 0 36 54 64 0.899999999999999
+18 0 1 0 0 36 56 64 1.2
+18 0 1 0 0 36 58 64 1.5
+18 0 1 0 0 36 60 64 1.8
+18 0 1 0 0 36 62 64 2.1
+18 0 1 0 0 36 64 64 2.4
+18 0 1 0 0 36 66 64 2.7
+18 0 1 0 0 36 68 64 3
+18 0 1 0 0 36 70 64 3.3
+18 0 1 0 0 36 72 64 3.6
+18 0 1 0 0 36 74 64 3.9
+18 0 1 0 0 36 76 64 4.2
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 -1.35
+19 0 2 0 0 36 40 64 -1.2
+19 0 2 0 0 36 41 64 -1.05
+19 0 2 0 0 36 42 64 -0.9
+19 0 2 0 0 36 43 64 -0.75
+19 0 2 0 0 36 44 64 -0.6
+19 0 2 0 0 36 45 64 -0.45
+19 0 2 0 0 36 46 64 -0.3
+19 0 2 0 0 36 47 64 -0.15
+19 0 2 0 0 36 48 64 -4.44089209850063e-16
+19 0 2 0 0 36 49 64 0.15
+19 0 2 0 0 36 50 64 0.3
+19 0 2 0 0 36 51 64 0.45
+19 0 2 0 0 36 52 64 0.6
+19 0 2 0 0 36 53 64 0.75
+19 0 2 0 0 36 54 64 0.899999999999999
+19 0 2 0 0 36 55 64 1.05
+19 0 2 0 0 36 56 64 1.2
+19 0 2 0 0 36 57 64 1.35
+19 0 2 0 0 36 58 64 1.5
+19 0 2 0 0 36 59 64 1.65
+19 0 2 0 0 36 60 64 1.8
+19 0 2 0 0 36 61 64 1.95
+19 0 2 0 0 36 62 64 2.1
+19 0 2 0 0 36 63 64 2.25
+19 0 2 0 0 36 64 64 2.4
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 -1.35
+20 0 2 0 0 36 40 64 -1.2
+20 0 2 0 0 36 41 64 -1.05
+20 0 2 0 0 36 42 64 -0.9
+20 0 2 0 0 36 43 64 -0.75
+20 0 2 0 0 36 44 64 -0.6
+20 0 2 0 0 36 45 64 -0.45
+20 0 2 0 0 36 46 64 -0.3
+20 0 2 0 0 36 47 64 -0.15
+20 0 2 0 0 36 48 64 -4.44089209850063e-16
+20 0 2 0 0 36 49 64 0.15
+20 0 2 0 0 36 50 64 0.3
+20 0 2 0 0 36 51 64 0.45
+20 0 2 0 0 36 52 64 0.6
+20 0 2 0 0 36 53 64 0.75
+20 0 2 0 0 36 54 64 0.899999999999999
+20 0 2 0 0 36 55 64 1.05
+20 0 2 0 0 36 56 64 1.2
+20 0 2 0 0 36 57 64 1.35
+20 0 2 0 0 36 58 64 1.5
+20 0 2 0 0 36 59 64 1.65
+20 0 2 0 0 36 60 64 1.8
+20 0 2 0 0 36 61 64 1.95
+20 0 2 0 0 36 62 64 2.1
+20 0 2 0 0 36 63 64 2.25
+20 0 2 0 0 36 64 64 2.4
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 -3.3
+20 0 1 0 0 36 28 64 -3
+20 0 1 0 0 36 30 64 -2.7
+20 0 1 0 0 36 32 64 -2.4
+20 0 1 0 0 36 34 64 -2.1
+20 0 1 0 0 36 36 64 -1.8
+20 0 1 0 0 36 38 64 -1.5
+20 0 1 0 0 36 40 64 -1.2
+20 0 1 0 0 36 42 64 -0.9
+20 0 1 0 0 36 44 64 -0.6
+20 0 1 0 0 36 46 64 -0.3
+20 0 1 0 0 36 48 64 -4.44089209850063e-16
+20 0 1 0 0 36 50 64 0.3
+20 0 1 0 0 36 52 64 0.6
+20 0 1 0 0 36 54 64 0.899999999999999
+20 0 1 0 0 36 56 64 1.2
+20 0 1 0 0 36 58 64 1.5
+20 0 1 0 0 36 60 64 1.8
+20 0 1 0 0 36 62 64 2.1
+20 0 1 0 0 36 64 64 2.4
+20 0 1 0 0 36 66 64 2.7
+20 0 1 0 0 36 68 64 3
+20 0 1 0 0 36 70 64 3.3
+20 0 1 0 0 36 72 64 3.6
+20 0 1 0 0 36 74 64 3.9
+20 0 1 0 0 36 76 64 4.2
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 -7.2
+20 0 0 0 0 36 4 64 -6.6
+20 0 0 0 0 36 8 64 -6
+20 0 0 0 0 36 12 64 -5.4
+20 0 0 0 0 36 16 64 -4.8
+20 0 0 0 0 36 20 64 -4.2
+20 0 0 0 0 36 24 64 -3.6
+20 0 0 0 0 36 28 64 -3
+20 0 0 0 0 36 32 64 -2.4
+20 0 0 0 0 36 36 64 -1.8
+20 0 0 0 0 36 40 64 -1.2
+20 0 0 0 0 36 44 64 -0.6
+20 0 0 0 0 36 48 64 -4.44089209850063e-16
+20 0 0 0 0 36 52 64 0.6
+20 0 0 0 0 36 56 64 1.2
+20 0 0 0 0 36 60 64 1.8
+20 0 0 0 0 36 64 64 2.4
+20 0 0 0 0 36 68 64 3
+20 0 0 0 0 36 72 64 3.6
+20 0 0 0 0 36 76 64 4.2
+20 0 0 0 0 36 80 64 4.8
+20 0 0 0 0 36 84 64 5.4
+20 0 0 0 0 36 88 64 6
+20 0 0 0 0 36 92 64 6.6
+20 0 0 0 0 36 96 64 7.2
+20 0 0 0 0 36 100 64 7.8
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 -1.35
+21 0 2 0 0 36 40 64 -1.2
+21 0 2 0 0 36 41 64 -1.05
+21 0 2 0 0 36 42 64 -0.9
+21 0 2 0 0 36 43 64 -0.75
+21 0 2 0 0 36 44 64 -0.6
+21 0 2 0 0 36 45 64 -0.45
+21 0 2 0 0 36 46 64 -0.3
+21 0 2 0 0 36 47 64 -0.15
+21 0 2 0 0 36 48 64 -4.44089209850063e-16
+21 0 2 0 0 36 49 64 0.15
+21 0 2 0 0 36 50 64 0.3
+21 0 2 0 0 36 51 64 0.45
+21 0 2 0 0 36 52 64 0.6
+21 0 2 0 0 36 53 64 0.75
+21 0 2 0 0 36 54 64 0.899999999999999
+21 0 2 0 0 36 55 64 1.05
+21 0 2 0 0 36 56 64 1.2
+21 0 2 0 0 36 57 64 1.35
+21 0 2 0 0 36 58 64 1.5
+21 0 2 0 0 36 59 64 1.65
+21 0 2 0 0 36 60 64 1.8
+21 0 2 0 0 36 61 64 1.95
+21 0 2 0 0 36 62 64 2.1
+21 0 2 0 0 36 63 64 2.25
+21 0 2 0 0 36 64 64 2.4
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 -1.35
+22 0 2 0 0 36 40 64 -1.2
+22 0 2 0 0 36 41 64 -1.05
+22 0 2 0 0 36 42 64 -0.9
+22 0 2 0 0 36 43 64 -0.75
+22 0 2 0 0 36 44 64 -0.6
+22 0 2 0 0 36 45 64 -0.45
+22 0 2 0 0 36 46 64 -0.3
+22 0 2 0 0 36 47 64 -0.15
+22 0 2 0 0 36 48 64 -4.44089209850063e-16
+22 0 2 0 0 36 49 64 0.15
+22 0 2 0 0 36 50 64 0.3
+22 0 2 0 0 36 51 64 0.45
+22 0 2 0 0 36 52 64 0.6
+22 0 2 0 0 36 53 64 0.75
+22 0 2 0 0 36 54 64 0.899999999999999
+22 0 2 0 0 36 55 64 1.05
+22 0 2 0 0 36 56 64 1.2
+22 0 2 0 0 36 57 64 1.35
+22 0 2 0 0 36 58 64 1.5
+22 0 2 0 0 36 59 64 1.65
+22 0 2 0 0 36 60 64 1.8
+22 0 2 0 0 36 61 64 1.95
+22 0 2 0 0 36 62 64 2.1
+22 0 2 0 0 36 63 64 2.25
+22 0 2 0 0 36 64 64 2.4
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 -3.3
+22 0 1 0 0 36 28 64 -3
+22 0 1 0 0 36 30 64 -2.7
+22 0 1 0 0 36 32 64 -2.4
+22 0 1 0 0 36 34 64 -2.1
+22 0 1 0 0 36 36 64 -1.8
+22 0 1 0 0 36 38 64 -1.5
+22 0 1 0 0 36 40 64 -1.2
+22 0 1 0 0 36 42 64 -0.9
+22 0 1 0 0 36 44 64 -0.6
+22 0 1 0 0 36 46 64 -0.3
+22 0 1 0 0 36 48 64 -4.44089209850063e-16
+22 0 1 0 0 36 50 64 0.3
+22 0 1 0 0 36 52 64 0.6
+22 0 1 0 0 36 54 64 0.899999999999999
+22 0 1 0 0 36 56 64 1.2
+22 0 1 0 0 36 58 64 1.5
+22 0 1 0 0 36 60 64 1.8
+22 0 1 0 0 36 62 64 2.1
+22 0 1 0 0 36 64 64 2.4
+22 0 1 0 0 36 66 64 2.7
+22 0 1 0 0 36 68 64 3
+22 0 1 0 0 36 70 64 3.3
+22 0 1 0 0 36 72 64 3.6
+22 0 1 0 0 36 74 64 3.9
+22 0 1 0 0 36 76 64 4.2
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 -1.35
+23 0 2 0 0 36 40 64 -1.2
+23 0 2 0 0 36 41 64 -1.05
+23 0 2 0 0 36 42 64 -0.9
+23 0 2 0 0 36 43 64 -0.75
+23 0 2 0 0 36 44 64 -0.6
+23 0 2 0 0 36 45 64 -0.45
+23 0 2 0 0 36 46 64 -0.3
+23 0 2 0 0 36 47 64 -0.15
+23 0 2 0 0 36 48 64 -4.44089209850063e-16
+23 0 2 0 0 36 49 64 0.15
+23 0 2 0 0 36 50 64 0.3
+23 0 2 0 0 36 51 64 0.45
+23 0 2 0 0 36 52 64 0.6
+23 0 2 0 0 36 53 64 0.75
+23 0 2 0 0 36 54 64 0.899999999999999
+23 0 2 0 0 36 55 64 1.05
+23 0 2 0 0 36 56 64 1.2
+23 0 2 0 0 36 57 64 1.35
+23 0 2 0 0 36 58 64 1.5
+23 0 2 0 0 36 59 64 1.65
+23 0 2 0 0 36 60 64 1.8
+23 0 2 0 0 36 61 64 1.95
+23 0 2 0 0 36 62 64 2.1
+23 0 2 0 0 36 63 64 2.25
+23 0 2 0 0 36 64 64 2.4
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 -1.35
+24 0 2 0 0 36 40 64 -1.2
+24 0 2 0 0 36 41 64 -1.05
+24 0 2 0 0 36 42 64 -0.9
+24 0 2 0 0 36 43 64 -0.75
+24 0 2 0 0 36 44 64 -0.6
+24 0 2 0 0 36 45 64 -0.45
+24 0 2 0 0 36 46 64 -0.3
+24 0 2 0 0 36 47 64 -0.15
+24 0 2 0 0 36 48 64 -4.44089209850063e-16
+24 0 2 0 0 36 49 64 0.15
+24 0 2 0 0 36 50 64 0.3
+24 0 2 0 0 36 51 64 0.45
+24 0 2 0 0 36 52 64 0.6
+24 0 2 0 0 36 53 64 0.75
+24 0 2 0 0 36 54 64 0.899999999999999
+24 0 2 0 0 36 55 64 1.05
+24 0 2 0 0 36 56 64 1.2
+24 0 2 0 0 36 57 64 1.35
+24 0 2 0 0 36 58 64 1.5
+24 0 2 0 0 36 59 64 1.65
+24 0 2 0 0 36 60 64 1.8
+24 0 2 0 0 36 61 64 1.95
+24 0 2 0 0 36 62 64 2.1
+24 0 2 0 0 36 63 64 2.25
+24 0 2 0 0 36 64 64 2.4
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 -3.3
+24 0 1 0 0 36 28 64 -3
+24 0 1 0 0 36 30 64 -2.7
+24 0 1 0 0 36 32 64 -2.4
+24 0 1 0 0 36 34 64 -2.1
+24 0 1 0 0 36 36 64 -1.8
+24 0 1 0 0 36 38 64 -1.5
+24 0 1 0 0 36 40 64 -1.2
+24 0 1 0 0 36 42 64 -0.9
+24 0 1 0 0 36 44 64 -0.6
+24 0 1 0 0 36 46 64 -0.3
+24 0 1 0 0 36 48 64 -4.44089209850063e-16
+24 0 1 0 0 36 50 64 0.3
+24 0 1 0 0 36 52 64 0.6
+24 0 1 0 0 36 54 64 0.899999999999999
+24 0 1 0 0 36 56 64 1.2
+24 0 1 0 0 36 58 64 1.5
+24 0 1 0 0 36 60 64 1.8
+24 0 1 0 0 36 62 64 2.1
+24 0 1 0 0 36 64 64 2.4
+24 0 1 0 0 36 66 64 2.7
+24 0 1 0 0 36 68 64 3
+24 0 1 0 0 36 70 64 3.3
+24 0 1 0 0 36 72 64 3.6
+24 0 1 0 0 36 74 64 3.9
+24 0 1 0 0 36 76 64 4.2
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 -7.2
+24 0 0 0 0 36 4 64 -6.6
+24 0 0 0 0 36 8 64 -6
+24 0 0 0 0 36 12 64 -5.4
+24 0 0 0 0 36 16 64 -4.8
+24 0 0 0 0 36 20 64 -4.2
+24 0 0 0 0 36 24 64 -3.6
+24 0 0 0 0 36 28 64 -3
+24 0 0 0 0 36 32 64 -2.4
+24 0 0 0 0 36 36 64 -1.8
+24 0 0 0 0 36 40 64 -1.2
+24 0 0 0 0 36 44 64 -0.6
+24 0 0 0 0 36 48 64 -4.44089209850063e-16
+24 0 0 0 0 36 52 64 0.6
+24 0 0 0 0 36 56 64 1.2
+24 0 0 0 0 36 60 64 1.8
+24 0 0 0 0 36 64 64 2.4
+24 0 0 0 0 36 68 64 3
+24 0 0 0 0 36 72 64 3.6
+24 0 0 0 0 36 76 64 4.2
+24 0 0 0 0 36 80 64 4.8
+24 0 0 0 0 36 84 64 5.4
+24 0 0 0 0 36 88 64 6
+24 0 0 0 0 36 92 64 6.6
+24 0 0 0 0 36 96 64 7.2
+24 0 0 0 0 36 100 64 7.8
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_y.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_y.zl
new file mode 100644
index 000000000..a9be0a73d
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_y.zl
@@ -0,0 +1,1757 @@
+# GRID::cart3d_y z (cart3d_y)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 -4.44089209850063e-16
+0 0 2 0 0 36 48 52 -4.44089209850063e-16
+0 0 2 0 0 36 48 53 -4.44089209850063e-16
+0 0 2 0 0 36 48 54 -4.44089209850063e-16
+0 0 2 0 0 36 48 55 -4.44089209850063e-16
+0 0 2 0 0 36 48 56 -4.44089209850063e-16
+0 0 2 0 0 36 48 57 -4.44089209850063e-16
+0 0 2 0 0 36 48 58 -4.44089209850063e-16
+0 0 2 0 0 36 48 59 -4.44089209850063e-16
+0 0 2 0 0 36 48 60 -4.44089209850063e-16
+0 0 2 0 0 36 48 61 -4.44089209850063e-16
+0 0 2 0 0 36 48 62 -4.44089209850063e-16
+0 0 2 0 0 36 48 63 -4.44089209850063e-16
+0 0 2 0 0 36 48 64 -4.44089209850063e-16
+0 0 2 0 0 36 48 65 -4.44089209850063e-16
+0 0 2 0 0 36 48 66 -4.44089209850063e-16
+0 0 2 0 0 36 48 67 -4.44089209850063e-16
+0 0 2 0 0 36 48 68 -4.44089209850063e-16
+0 0 2 0 0 36 48 69 -4.44089209850063e-16
+0 0 2 0 0 36 48 70 -4.44089209850063e-16
+0 0 2 0 0 36 48 71 -4.44089209850063e-16
+0 0 2 0 0 36 48 72 -4.44089209850063e-16
+0 0 2 0 0 36 48 73 -4.44089209850063e-16
+0 0 2 0 0 36 48 74 -4.44089209850063e-16
+0 0 2 0 0 36 48 75 -4.44089209850063e-16
+0 0 2 0 0 36 48 76 -4.44089209850063e-16
+0 0 2 0 0 36 48 77 -4.44089209850063e-16
+0 0 2 0 0 36 48 78 -4.44089209850063e-16
+0 0 2 0 0 36 48 79 -4.44089209850063e-16
+0 0 2 0 0 36 48 80 -4.44089209850063e-16
+0 0 2 0 0 36 48 81 -4.44089209850063e-16
+0 0 2 0 0 36 48 82 -4.44089209850063e-16
+0 0 2 0 0 36 48 83 -4.44089209850063e-16
+0 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -4.44089209850063e-16
+0 0 1 0 0 36 48 36 -4.44089209850063e-16
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+0 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 -4.44089209850063e-16
+0 0 0 0 0 36 48 4 -4.44089209850063e-16
+0 0 0 0 0 36 48 8 -4.44089209850063e-16
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+0 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 -4.44089209850063e-16
+1 0 2 0 0 36 48 52 -4.44089209850063e-16
+1 0 2 0 0 36 48 53 -4.44089209850063e-16
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+1 0 2 0 0 36 48 83 -4.44089209850063e-16
+1 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 -4.44089209850063e-16
+2 0 2 0 0 36 48 52 -4.44089209850063e-16
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+2 0 2 0 0 36 48 80 -4.44089209850063e-16
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+2 0 2 0 0 36 48 83 -4.44089209850063e-16
+2 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -4.44089209850063e-16
+2 0 1 0 0 36 48 36 -4.44089209850063e-16
+2 0 1 0 0 36 48 38 -4.44089209850063e-16
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+2 0 1 0 0 36 48 98 -4.44089209850063e-16
+2 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 -4.44089209850063e-16
+3 0 2 0 0 36 48 52 -4.44089209850063e-16
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+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 -4.44089209850063e-16
+4 0 2 0 0 36 48 52 -4.44089209850063e-16
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+4 0 2 0 0 36 48 83 -4.44089209850063e-16
+4 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -4.44089209850063e-16
+4 0 1 0 0 36 48 36 -4.44089209850063e-16
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+4 0 1 0 0 36 48 98 -4.44089209850063e-16
+4 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 -4.44089209850063e-16
+4 0 0 0 0 36 48 4 -4.44089209850063e-16
+4 0 0 0 0 36 48 8 -4.44089209850063e-16
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+4 0 0 0 0 36 48 128 -4.44089209850063e-16
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+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 -4.44089209850063e-16
+5 0 2 0 0 36 48 52 -4.44089209850063e-16
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+5 0 2 0 0 36 48 81 -4.44089209850063e-16
+5 0 2 0 0 36 48 82 -4.44089209850063e-16
+5 0 2 0 0 36 48 83 -4.44089209850063e-16
+5 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 -4.44089209850063e-16
+6 0 2 0 0 36 48 52 -4.44089209850063e-16
+6 0 2 0 0 36 48 53 -4.44089209850063e-16
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+6 0 2 0 0 36 48 64 -4.44089209850063e-16
+6 0 2 0 0 36 48 65 -4.44089209850063e-16
+6 0 2 0 0 36 48 66 -4.44089209850063e-16
+6 0 2 0 0 36 48 67 -4.44089209850063e-16
+6 0 2 0 0 36 48 68 -4.44089209850063e-16
+6 0 2 0 0 36 48 69 -4.44089209850063e-16
+6 0 2 0 0 36 48 70 -4.44089209850063e-16
+6 0 2 0 0 36 48 71 -4.44089209850063e-16
+6 0 2 0 0 36 48 72 -4.44089209850063e-16
+6 0 2 0 0 36 48 73 -4.44089209850063e-16
+6 0 2 0 0 36 48 74 -4.44089209850063e-16
+6 0 2 0 0 36 48 75 -4.44089209850063e-16
+6 0 2 0 0 36 48 76 -4.44089209850063e-16
+6 0 2 0 0 36 48 77 -4.44089209850063e-16
+6 0 2 0 0 36 48 78 -4.44089209850063e-16
+6 0 2 0 0 36 48 79 -4.44089209850063e-16
+6 0 2 0 0 36 48 80 -4.44089209850063e-16
+6 0 2 0 0 36 48 81 -4.44089209850063e-16
+6 0 2 0 0 36 48 82 -4.44089209850063e-16
+6 0 2 0 0 36 48 83 -4.44089209850063e-16
+6 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -4.44089209850063e-16
+6 0 1 0 0 36 48 36 -4.44089209850063e-16
+6 0 1 0 0 36 48 38 -4.44089209850063e-16
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+6 0 1 0 0 36 48 52 -4.44089209850063e-16
+6 0 1 0 0 36 48 54 -4.44089209850063e-16
+6 0 1 0 0 36 48 56 -4.44089209850063e-16
+6 0 1 0 0 36 48 58 -4.44089209850063e-16
+6 0 1 0 0 36 48 60 -4.44089209850063e-16
+6 0 1 0 0 36 48 62 -4.44089209850063e-16
+6 0 1 0 0 36 48 64 -4.44089209850063e-16
+6 0 1 0 0 36 48 66 -4.44089209850063e-16
+6 0 1 0 0 36 48 68 -4.44089209850063e-16
+6 0 1 0 0 36 48 70 -4.44089209850063e-16
+6 0 1 0 0 36 48 72 -4.44089209850063e-16
+6 0 1 0 0 36 48 74 -4.44089209850063e-16
+6 0 1 0 0 36 48 76 -4.44089209850063e-16
+6 0 1 0 0 36 48 78 -4.44089209850063e-16
+6 0 1 0 0 36 48 80 -4.44089209850063e-16
+6 0 1 0 0 36 48 82 -4.44089209850063e-16
+6 0 1 0 0 36 48 84 -4.44089209850063e-16
+6 0 1 0 0 36 48 86 -4.44089209850063e-16
+6 0 1 0 0 36 48 88 -4.44089209850063e-16
+6 0 1 0 0 36 48 90 -4.44089209850063e-16
+6 0 1 0 0 36 48 92 -4.44089209850063e-16
+6 0 1 0 0 36 48 94 -4.44089209850063e-16
+6 0 1 0 0 36 48 96 -4.44089209850063e-16
+6 0 1 0 0 36 48 98 -4.44089209850063e-16
+6 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 -4.44089209850063e-16
+7 0 2 0 0 36 48 52 -4.44089209850063e-16
+7 0 2 0 0 36 48 53 -4.44089209850063e-16
+7 0 2 0 0 36 48 54 -4.44089209850063e-16
+7 0 2 0 0 36 48 55 -4.44089209850063e-16
+7 0 2 0 0 36 48 56 -4.44089209850063e-16
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+7 0 2 0 0 36 48 58 -4.44089209850063e-16
+7 0 2 0 0 36 48 59 -4.44089209850063e-16
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+7 0 2 0 0 36 48 61 -4.44089209850063e-16
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+7 0 2 0 0 36 48 63 -4.44089209850063e-16
+7 0 2 0 0 36 48 64 -4.44089209850063e-16
+7 0 2 0 0 36 48 65 -4.44089209850063e-16
+7 0 2 0 0 36 48 66 -4.44089209850063e-16
+7 0 2 0 0 36 48 67 -4.44089209850063e-16
+7 0 2 0 0 36 48 68 -4.44089209850063e-16
+7 0 2 0 0 36 48 69 -4.44089209850063e-16
+7 0 2 0 0 36 48 70 -4.44089209850063e-16
+7 0 2 0 0 36 48 71 -4.44089209850063e-16
+7 0 2 0 0 36 48 72 -4.44089209850063e-16
+7 0 2 0 0 36 48 73 -4.44089209850063e-16
+7 0 2 0 0 36 48 74 -4.44089209850063e-16
+7 0 2 0 0 36 48 75 -4.44089209850063e-16
+7 0 2 0 0 36 48 76 -4.44089209850063e-16
+7 0 2 0 0 36 48 77 -4.44089209850063e-16
+7 0 2 0 0 36 48 78 -4.44089209850063e-16
+7 0 2 0 0 36 48 79 -4.44089209850063e-16
+7 0 2 0 0 36 48 80 -4.44089209850063e-16
+7 0 2 0 0 36 48 81 -4.44089209850063e-16
+7 0 2 0 0 36 48 82 -4.44089209850063e-16
+7 0 2 0 0 36 48 83 -4.44089209850063e-16
+7 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 -4.44089209850063e-16
+8 0 2 0 0 36 48 52 -4.44089209850063e-16
+8 0 2 0 0 36 48 53 -4.44089209850063e-16
+8 0 2 0 0 36 48 54 -4.44089209850063e-16
+8 0 2 0 0 36 48 55 -4.44089209850063e-16
+8 0 2 0 0 36 48 56 -4.44089209850063e-16
+8 0 2 0 0 36 48 57 -4.44089209850063e-16
+8 0 2 0 0 36 48 58 -4.44089209850063e-16
+8 0 2 0 0 36 48 59 -4.44089209850063e-16
+8 0 2 0 0 36 48 60 -4.44089209850063e-16
+8 0 2 0 0 36 48 61 -4.44089209850063e-16
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+8 0 2 0 0 36 48 64 -4.44089209850063e-16
+8 0 2 0 0 36 48 65 -4.44089209850063e-16
+8 0 2 0 0 36 48 66 -4.44089209850063e-16
+8 0 2 0 0 36 48 67 -4.44089209850063e-16
+8 0 2 0 0 36 48 68 -4.44089209850063e-16
+8 0 2 0 0 36 48 69 -4.44089209850063e-16
+8 0 2 0 0 36 48 70 -4.44089209850063e-16
+8 0 2 0 0 36 48 71 -4.44089209850063e-16
+8 0 2 0 0 36 48 72 -4.44089209850063e-16
+8 0 2 0 0 36 48 73 -4.44089209850063e-16
+8 0 2 0 0 36 48 74 -4.44089209850063e-16
+8 0 2 0 0 36 48 75 -4.44089209850063e-16
+8 0 2 0 0 36 48 76 -4.44089209850063e-16
+8 0 2 0 0 36 48 77 -4.44089209850063e-16
+8 0 2 0 0 36 48 78 -4.44089209850063e-16
+8 0 2 0 0 36 48 79 -4.44089209850063e-16
+8 0 2 0 0 36 48 80 -4.44089209850063e-16
+8 0 2 0 0 36 48 81 -4.44089209850063e-16
+8 0 2 0 0 36 48 82 -4.44089209850063e-16
+8 0 2 0 0 36 48 83 -4.44089209850063e-16
+8 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -4.44089209850063e-16
+8 0 1 0 0 36 48 36 -4.44089209850063e-16
+8 0 1 0 0 36 48 38 -4.44089209850063e-16
+8 0 1 0 0 36 48 40 -4.44089209850063e-16
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+8 0 1 0 0 36 48 44 -4.44089209850063e-16
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+8 0 1 0 0 36 48 50 -4.44089209850063e-16
+8 0 1 0 0 36 48 52 -4.44089209850063e-16
+8 0 1 0 0 36 48 54 -4.44089209850063e-16
+8 0 1 0 0 36 48 56 -4.44089209850063e-16
+8 0 1 0 0 36 48 58 -4.44089209850063e-16
+8 0 1 0 0 36 48 60 -4.44089209850063e-16
+8 0 1 0 0 36 48 62 -4.44089209850063e-16
+8 0 1 0 0 36 48 64 -4.44089209850063e-16
+8 0 1 0 0 36 48 66 -4.44089209850063e-16
+8 0 1 0 0 36 48 68 -4.44089209850063e-16
+8 0 1 0 0 36 48 70 -4.44089209850063e-16
+8 0 1 0 0 36 48 72 -4.44089209850063e-16
+8 0 1 0 0 36 48 74 -4.44089209850063e-16
+8 0 1 0 0 36 48 76 -4.44089209850063e-16
+8 0 1 0 0 36 48 78 -4.44089209850063e-16
+8 0 1 0 0 36 48 80 -4.44089209850063e-16
+8 0 1 0 0 36 48 82 -4.44089209850063e-16
+8 0 1 0 0 36 48 84 -4.44089209850063e-16
+8 0 1 0 0 36 48 86 -4.44089209850063e-16
+8 0 1 0 0 36 48 88 -4.44089209850063e-16
+8 0 1 0 0 36 48 90 -4.44089209850063e-16
+8 0 1 0 0 36 48 92 -4.44089209850063e-16
+8 0 1 0 0 36 48 94 -4.44089209850063e-16
+8 0 1 0 0 36 48 96 -4.44089209850063e-16
+8 0 1 0 0 36 48 98 -4.44089209850063e-16
+8 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 -4.44089209850063e-16
+8 0 0 0 0 36 48 4 -4.44089209850063e-16
+8 0 0 0 0 36 48 8 -4.44089209850063e-16
+8 0 0 0 0 36 48 12 -4.44089209850063e-16
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+8 0 0 0 0 36 48 20 -4.44089209850063e-16
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+8 0 0 0 0 36 48 32 -4.44089209850063e-16
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+8 0 0 0 0 36 48 40 -4.44089209850063e-16
+8 0 0 0 0 36 48 44 -4.44089209850063e-16
+8 0 0 0 0 36 48 48 -4.44089209850063e-16
+8 0 0 0 0 36 48 52 -4.44089209850063e-16
+8 0 0 0 0 36 48 56 -4.44089209850063e-16
+8 0 0 0 0 36 48 60 -4.44089209850063e-16
+8 0 0 0 0 36 48 64 -4.44089209850063e-16
+8 0 0 0 0 36 48 68 -4.44089209850063e-16
+8 0 0 0 0 36 48 72 -4.44089209850063e-16
+8 0 0 0 0 36 48 76 -4.44089209850063e-16
+8 0 0 0 0 36 48 80 -4.44089209850063e-16
+8 0 0 0 0 36 48 84 -4.44089209850063e-16
+8 0 0 0 0 36 48 88 -4.44089209850063e-16
+8 0 0 0 0 36 48 92 -4.44089209850063e-16
+8 0 0 0 0 36 48 96 -4.44089209850063e-16
+8 0 0 0 0 36 48 100 -4.44089209850063e-16
+8 0 0 0 0 36 48 104 -4.44089209850063e-16
+8 0 0 0 0 36 48 108 -4.44089209850063e-16
+8 0 0 0 0 36 48 112 -4.44089209850063e-16
+8 0 0 0 0 36 48 116 -4.44089209850063e-16
+8 0 0 0 0 36 48 120 -4.44089209850063e-16
+8 0 0 0 0 36 48 124 -4.44089209850063e-16
+8 0 0 0 0 36 48 128 -4.44089209850063e-16
+8 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 -4.44089209850063e-16
+9 0 2 0 0 36 48 52 -4.44089209850063e-16
+9 0 2 0 0 36 48 53 -4.44089209850063e-16
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+9 0 2 0 0 36 48 63 -4.44089209850063e-16
+9 0 2 0 0 36 48 64 -4.44089209850063e-16
+9 0 2 0 0 36 48 65 -4.44089209850063e-16
+9 0 2 0 0 36 48 66 -4.44089209850063e-16
+9 0 2 0 0 36 48 67 -4.44089209850063e-16
+9 0 2 0 0 36 48 68 -4.44089209850063e-16
+9 0 2 0 0 36 48 69 -4.44089209850063e-16
+9 0 2 0 0 36 48 70 -4.44089209850063e-16
+9 0 2 0 0 36 48 71 -4.44089209850063e-16
+9 0 2 0 0 36 48 72 -4.44089209850063e-16
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+9 0 2 0 0 36 48 74 -4.44089209850063e-16
+9 0 2 0 0 36 48 75 -4.44089209850063e-16
+9 0 2 0 0 36 48 76 -4.44089209850063e-16
+9 0 2 0 0 36 48 77 -4.44089209850063e-16
+9 0 2 0 0 36 48 78 -4.44089209850063e-16
+9 0 2 0 0 36 48 79 -4.44089209850063e-16
+9 0 2 0 0 36 48 80 -4.44089209850063e-16
+9 0 2 0 0 36 48 81 -4.44089209850063e-16
+9 0 2 0 0 36 48 82 -4.44089209850063e-16
+9 0 2 0 0 36 48 83 -4.44089209850063e-16
+9 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 -4.44089209850063e-16
+10 0 2 0 0 36 48 52 -4.44089209850063e-16
+10 0 2 0 0 36 48 53 -4.44089209850063e-16
+10 0 2 0 0 36 48 54 -4.44089209850063e-16
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+10 0 2 0 0 36 48 56 -4.44089209850063e-16
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+10 0 2 0 0 36 48 61 -4.44089209850063e-16
+10 0 2 0 0 36 48 62 -4.44089209850063e-16
+10 0 2 0 0 36 48 63 -4.44089209850063e-16
+10 0 2 0 0 36 48 64 -4.44089209850063e-16
+10 0 2 0 0 36 48 65 -4.44089209850063e-16
+10 0 2 0 0 36 48 66 -4.44089209850063e-16
+10 0 2 0 0 36 48 67 -4.44089209850063e-16
+10 0 2 0 0 36 48 68 -4.44089209850063e-16
+10 0 2 0 0 36 48 69 -4.44089209850063e-16
+10 0 2 0 0 36 48 70 -4.44089209850063e-16
+10 0 2 0 0 36 48 71 -4.44089209850063e-16
+10 0 2 0 0 36 48 72 -4.44089209850063e-16
+10 0 2 0 0 36 48 73 -4.44089209850063e-16
+10 0 2 0 0 36 48 74 -4.44089209850063e-16
+10 0 2 0 0 36 48 75 -4.44089209850063e-16
+10 0 2 0 0 36 48 76 -4.44089209850063e-16
+10 0 2 0 0 36 48 77 -4.44089209850063e-16
+10 0 2 0 0 36 48 78 -4.44089209850063e-16
+10 0 2 0 0 36 48 79 -4.44089209850063e-16
+10 0 2 0 0 36 48 80 -4.44089209850063e-16
+10 0 2 0 0 36 48 81 -4.44089209850063e-16
+10 0 2 0 0 36 48 82 -4.44089209850063e-16
+10 0 2 0 0 36 48 83 -4.44089209850063e-16
+10 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -4.44089209850063e-16
+10 0 1 0 0 36 48 36 -4.44089209850063e-16
+10 0 1 0 0 36 48 38 -4.44089209850063e-16
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+10 0 1 0 0 36 48 44 -4.44089209850063e-16
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+10 0 1 0 0 36 48 50 -4.44089209850063e-16
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+10 0 1 0 0 36 48 54 -4.44089209850063e-16
+10 0 1 0 0 36 48 56 -4.44089209850063e-16
+10 0 1 0 0 36 48 58 -4.44089209850063e-16
+10 0 1 0 0 36 48 60 -4.44089209850063e-16
+10 0 1 0 0 36 48 62 -4.44089209850063e-16
+10 0 1 0 0 36 48 64 -4.44089209850063e-16
+10 0 1 0 0 36 48 66 -4.44089209850063e-16
+10 0 1 0 0 36 48 68 -4.44089209850063e-16
+10 0 1 0 0 36 48 70 -4.44089209850063e-16
+10 0 1 0 0 36 48 72 -4.44089209850063e-16
+10 0 1 0 0 36 48 74 -4.44089209850063e-16
+10 0 1 0 0 36 48 76 -4.44089209850063e-16
+10 0 1 0 0 36 48 78 -4.44089209850063e-16
+10 0 1 0 0 36 48 80 -4.44089209850063e-16
+10 0 1 0 0 36 48 82 -4.44089209850063e-16
+10 0 1 0 0 36 48 84 -4.44089209850063e-16
+10 0 1 0 0 36 48 86 -4.44089209850063e-16
+10 0 1 0 0 36 48 88 -4.44089209850063e-16
+10 0 1 0 0 36 48 90 -4.44089209850063e-16
+10 0 1 0 0 36 48 92 -4.44089209850063e-16
+10 0 1 0 0 36 48 94 -4.44089209850063e-16
+10 0 1 0 0 36 48 96 -4.44089209850063e-16
+10 0 1 0 0 36 48 98 -4.44089209850063e-16
+10 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 -4.44089209850063e-16
+11 0 2 0 0 36 48 52 -4.44089209850063e-16
+11 0 2 0 0 36 48 53 -4.44089209850063e-16
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+11 0 2 0 0 36 48 65 -4.44089209850063e-16
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+11 0 2 0 0 36 48 69 -4.44089209850063e-16
+11 0 2 0 0 36 48 70 -4.44089209850063e-16
+11 0 2 0 0 36 48 71 -4.44089209850063e-16
+11 0 2 0 0 36 48 72 -4.44089209850063e-16
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+11 0 2 0 0 36 48 74 -4.44089209850063e-16
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+11 0 2 0 0 36 48 83 -4.44089209850063e-16
+11 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 -4.44089209850063e-16
+12 0 2 0 0 36 48 52 -4.44089209850063e-16
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+12 0 2 0 0 36 48 82 -4.44089209850063e-16
+12 0 2 0 0 36 48 83 -4.44089209850063e-16
+12 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -4.44089209850063e-16
+12 0 1 0 0 36 48 36 -4.44089209850063e-16
+12 0 1 0 0 36 48 38 -4.44089209850063e-16
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+12 0 1 0 0 36 48 84 -4.44089209850063e-16
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+12 0 1 0 0 36 48 90 -4.44089209850063e-16
+12 0 1 0 0 36 48 92 -4.44089209850063e-16
+12 0 1 0 0 36 48 94 -4.44089209850063e-16
+12 0 1 0 0 36 48 96 -4.44089209850063e-16
+12 0 1 0 0 36 48 98 -4.44089209850063e-16
+12 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 -4.44089209850063e-16
+12 0 0 0 0 36 48 4 -4.44089209850063e-16
+12 0 0 0 0 36 48 8 -4.44089209850063e-16
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+12 0 0 0 0 36 48 72 -4.44089209850063e-16
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+12 0 0 0 0 36 48 100 -4.44089209850063e-16
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+12 0 0 0 0 36 48 116 -4.44089209850063e-16
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+12 0 0 0 0 36 48 124 -4.44089209850063e-16
+12 0 0 0 0 36 48 128 -4.44089209850063e-16
+12 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 -4.44089209850063e-16
+13 0 2 0 0 36 48 52 -4.44089209850063e-16
+13 0 2 0 0 36 48 53 -4.44089209850063e-16
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+13 0 2 0 0 36 48 79 -4.44089209850063e-16
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+13 0 2 0 0 36 48 83 -4.44089209850063e-16
+13 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 -4.44089209850063e-16
+14 0 2 0 0 36 48 52 -4.44089209850063e-16
+14 0 2 0 0 36 48 53 -4.44089209850063e-16
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+14 0 2 0 0 36 48 79 -4.44089209850063e-16
+14 0 2 0 0 36 48 80 -4.44089209850063e-16
+14 0 2 0 0 36 48 81 -4.44089209850063e-16
+14 0 2 0 0 36 48 82 -4.44089209850063e-16
+14 0 2 0 0 36 48 83 -4.44089209850063e-16
+14 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 -4.44089209850063e-16
+14 0 1 0 0 36 48 36 -4.44089209850063e-16
+14 0 1 0 0 36 48 38 -4.44089209850063e-16
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+14 0 1 0 0 36 48 98 -4.44089209850063e-16
+14 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 -4.44089209850063e-16
+15 0 2 0 0 36 48 52 -4.44089209850063e-16
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+15 0 2 0 0 36 48 83 -4.44089209850063e-16
+15 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 -4.44089209850063e-16
+16 0 2 0 0 36 48 52 -4.44089209850063e-16
+16 0 2 0 0 36 48 53 -4.44089209850063e-16
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+16 0 2 0 0 36 48 79 -4.44089209850063e-16
+16 0 2 0 0 36 48 80 -4.44089209850063e-16
+16 0 2 0 0 36 48 81 -4.44089209850063e-16
+16 0 2 0 0 36 48 82 -4.44089209850063e-16
+16 0 2 0 0 36 48 83 -4.44089209850063e-16
+16 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 -4.44089209850063e-16
+16 0 1 0 0 36 48 36 -4.44089209850063e-16
+16 0 1 0 0 36 48 38 -4.44089209850063e-16
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+16 0 1 0 0 36 48 84 -4.44089209850063e-16
+16 0 1 0 0 36 48 86 -4.44089209850063e-16
+16 0 1 0 0 36 48 88 -4.44089209850063e-16
+16 0 1 0 0 36 48 90 -4.44089209850063e-16
+16 0 1 0 0 36 48 92 -4.44089209850063e-16
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+16 0 1 0 0 36 48 98 -4.44089209850063e-16
+16 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 -4.44089209850063e-16
+16 0 0 0 0 36 48 4 -4.44089209850063e-16
+16 0 0 0 0 36 48 8 -4.44089209850063e-16
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+16 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 -4.44089209850063e-16
+17 0 2 0 0 36 48 52 -4.44089209850063e-16
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+17 0 2 0 0 36 48 83 -4.44089209850063e-16
+17 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 -4.44089209850063e-16
+18 0 2 0 0 36 48 52 -4.44089209850063e-16
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+18 0 2 0 0 36 48 83 -4.44089209850063e-16
+18 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 -4.44089209850063e-16
+18 0 1 0 0 36 48 36 -4.44089209850063e-16
+18 0 1 0 0 36 48 38 -4.44089209850063e-16
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+18 0 1 0 0 36 48 98 -4.44089209850063e-16
+18 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 -4.44089209850063e-16
+19 0 2 0 0 36 48 52 -4.44089209850063e-16
+19 0 2 0 0 36 48 53 -4.44089209850063e-16
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+19 0 2 0 0 36 48 83 -4.44089209850063e-16
+19 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 -4.44089209850063e-16
+20 0 2 0 0 36 48 52 -4.44089209850063e-16
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+20 0 2 0 0 36 48 83 -4.44089209850063e-16
+20 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 -4.44089209850063e-16
+20 0 1 0 0 36 48 36 -4.44089209850063e-16
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+20 0 1 0 0 36 48 98 -4.44089209850063e-16
+20 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 -4.44089209850063e-16
+20 0 0 0 0 36 48 4 -4.44089209850063e-16
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+20 0 0 0 0 36 48 128 -4.44089209850063e-16
+20 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 -4.44089209850063e-16
+21 0 2 0 0 36 48 52 -4.44089209850063e-16
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+21 0 2 0 0 36 48 83 -4.44089209850063e-16
+21 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 -4.44089209850063e-16
+22 0 2 0 0 36 48 52 -4.44089209850063e-16
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+22 0 2 0 0 36 48 76 -4.44089209850063e-16
+22 0 2 0 0 36 48 77 -4.44089209850063e-16
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+22 0 2 0 0 36 48 79 -4.44089209850063e-16
+22 0 2 0 0 36 48 80 -4.44089209850063e-16
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+22 0 2 0 0 36 48 83 -4.44089209850063e-16
+22 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 -4.44089209850063e-16
+22 0 1 0 0 36 48 36 -4.44089209850063e-16
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+22 0 1 0 0 36 48 50 -4.44089209850063e-16
+22 0 1 0 0 36 48 52 -4.44089209850063e-16
+22 0 1 0 0 36 48 54 -4.44089209850063e-16
+22 0 1 0 0 36 48 56 -4.44089209850063e-16
+22 0 1 0 0 36 48 58 -4.44089209850063e-16
+22 0 1 0 0 36 48 60 -4.44089209850063e-16
+22 0 1 0 0 36 48 62 -4.44089209850063e-16
+22 0 1 0 0 36 48 64 -4.44089209850063e-16
+22 0 1 0 0 36 48 66 -4.44089209850063e-16
+22 0 1 0 0 36 48 68 -4.44089209850063e-16
+22 0 1 0 0 36 48 70 -4.44089209850063e-16
+22 0 1 0 0 36 48 72 -4.44089209850063e-16
+22 0 1 0 0 36 48 74 -4.44089209850063e-16
+22 0 1 0 0 36 48 76 -4.44089209850063e-16
+22 0 1 0 0 36 48 78 -4.44089209850063e-16
+22 0 1 0 0 36 48 80 -4.44089209850063e-16
+22 0 1 0 0 36 48 82 -4.44089209850063e-16
+22 0 1 0 0 36 48 84 -4.44089209850063e-16
+22 0 1 0 0 36 48 86 -4.44089209850063e-16
+22 0 1 0 0 36 48 88 -4.44089209850063e-16
+22 0 1 0 0 36 48 90 -4.44089209850063e-16
+22 0 1 0 0 36 48 92 -4.44089209850063e-16
+22 0 1 0 0 36 48 94 -4.44089209850063e-16
+22 0 1 0 0 36 48 96 -4.44089209850063e-16
+22 0 1 0 0 36 48 98 -4.44089209850063e-16
+22 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 -4.44089209850063e-16
+23 0 2 0 0 36 48 52 -4.44089209850063e-16
+23 0 2 0 0 36 48 53 -4.44089209850063e-16
+23 0 2 0 0 36 48 54 -4.44089209850063e-16
+23 0 2 0 0 36 48 55 -4.44089209850063e-16
+23 0 2 0 0 36 48 56 -4.44089209850063e-16
+23 0 2 0 0 36 48 57 -4.44089209850063e-16
+23 0 2 0 0 36 48 58 -4.44089209850063e-16
+23 0 2 0 0 36 48 59 -4.44089209850063e-16
+23 0 2 0 0 36 48 60 -4.44089209850063e-16
+23 0 2 0 0 36 48 61 -4.44089209850063e-16
+23 0 2 0 0 36 48 62 -4.44089209850063e-16
+23 0 2 0 0 36 48 63 -4.44089209850063e-16
+23 0 2 0 0 36 48 64 -4.44089209850063e-16
+23 0 2 0 0 36 48 65 -4.44089209850063e-16
+23 0 2 0 0 36 48 66 -4.44089209850063e-16
+23 0 2 0 0 36 48 67 -4.44089209850063e-16
+23 0 2 0 0 36 48 68 -4.44089209850063e-16
+23 0 2 0 0 36 48 69 -4.44089209850063e-16
+23 0 2 0 0 36 48 70 -4.44089209850063e-16
+23 0 2 0 0 36 48 71 -4.44089209850063e-16
+23 0 2 0 0 36 48 72 -4.44089209850063e-16
+23 0 2 0 0 36 48 73 -4.44089209850063e-16
+23 0 2 0 0 36 48 74 -4.44089209850063e-16
+23 0 2 0 0 36 48 75 -4.44089209850063e-16
+23 0 2 0 0 36 48 76 -4.44089209850063e-16
+23 0 2 0 0 36 48 77 -4.44089209850063e-16
+23 0 2 0 0 36 48 78 -4.44089209850063e-16
+23 0 2 0 0 36 48 79 -4.44089209850063e-16
+23 0 2 0 0 36 48 80 -4.44089209850063e-16
+23 0 2 0 0 36 48 81 -4.44089209850063e-16
+23 0 2 0 0 36 48 82 -4.44089209850063e-16
+23 0 2 0 0 36 48 83 -4.44089209850063e-16
+23 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 -4.44089209850063e-16
+24 0 2 0 0 36 48 52 -4.44089209850063e-16
+24 0 2 0 0 36 48 53 -4.44089209850063e-16
+24 0 2 0 0 36 48 54 -4.44089209850063e-16
+24 0 2 0 0 36 48 55 -4.44089209850063e-16
+24 0 2 0 0 36 48 56 -4.44089209850063e-16
+24 0 2 0 0 36 48 57 -4.44089209850063e-16
+24 0 2 0 0 36 48 58 -4.44089209850063e-16
+24 0 2 0 0 36 48 59 -4.44089209850063e-16
+24 0 2 0 0 36 48 60 -4.44089209850063e-16
+24 0 2 0 0 36 48 61 -4.44089209850063e-16
+24 0 2 0 0 36 48 62 -4.44089209850063e-16
+24 0 2 0 0 36 48 63 -4.44089209850063e-16
+24 0 2 0 0 36 48 64 -4.44089209850063e-16
+24 0 2 0 0 36 48 65 -4.44089209850063e-16
+24 0 2 0 0 36 48 66 -4.44089209850063e-16
+24 0 2 0 0 36 48 67 -4.44089209850063e-16
+24 0 2 0 0 36 48 68 -4.44089209850063e-16
+24 0 2 0 0 36 48 69 -4.44089209850063e-16
+24 0 2 0 0 36 48 70 -4.44089209850063e-16
+24 0 2 0 0 36 48 71 -4.44089209850063e-16
+24 0 2 0 0 36 48 72 -4.44089209850063e-16
+24 0 2 0 0 36 48 73 -4.44089209850063e-16
+24 0 2 0 0 36 48 74 -4.44089209850063e-16
+24 0 2 0 0 36 48 75 -4.44089209850063e-16
+24 0 2 0 0 36 48 76 -4.44089209850063e-16
+24 0 2 0 0 36 48 77 -4.44089209850063e-16
+24 0 2 0 0 36 48 78 -4.44089209850063e-16
+24 0 2 0 0 36 48 79 -4.44089209850063e-16
+24 0 2 0 0 36 48 80 -4.44089209850063e-16
+24 0 2 0 0 36 48 81 -4.44089209850063e-16
+24 0 2 0 0 36 48 82 -4.44089209850063e-16
+24 0 2 0 0 36 48 83 -4.44089209850063e-16
+24 0 2 0 0 36 48 84 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 -4.44089209850063e-16
+24 0 1 0 0 36 48 36 -4.44089209850063e-16
+24 0 1 0 0 36 48 38 -4.44089209850063e-16
+24 0 1 0 0 36 48 40 -4.44089209850063e-16
+24 0 1 0 0 36 48 42 -4.44089209850063e-16
+24 0 1 0 0 36 48 44 -4.44089209850063e-16
+24 0 1 0 0 36 48 46 -4.44089209850063e-16
+24 0 1 0 0 36 48 48 -4.44089209850063e-16
+24 0 1 0 0 36 48 50 -4.44089209850063e-16
+24 0 1 0 0 36 48 52 -4.44089209850063e-16
+24 0 1 0 0 36 48 54 -4.44089209850063e-16
+24 0 1 0 0 36 48 56 -4.44089209850063e-16
+24 0 1 0 0 36 48 58 -4.44089209850063e-16
+24 0 1 0 0 36 48 60 -4.44089209850063e-16
+24 0 1 0 0 36 48 62 -4.44089209850063e-16
+24 0 1 0 0 36 48 64 -4.44089209850063e-16
+24 0 1 0 0 36 48 66 -4.44089209850063e-16
+24 0 1 0 0 36 48 68 -4.44089209850063e-16
+24 0 1 0 0 36 48 70 -4.44089209850063e-16
+24 0 1 0 0 36 48 72 -4.44089209850063e-16
+24 0 1 0 0 36 48 74 -4.44089209850063e-16
+24 0 1 0 0 36 48 76 -4.44089209850063e-16
+24 0 1 0 0 36 48 78 -4.44089209850063e-16
+24 0 1 0 0 36 48 80 -4.44089209850063e-16
+24 0 1 0 0 36 48 82 -4.44089209850063e-16
+24 0 1 0 0 36 48 84 -4.44089209850063e-16
+24 0 1 0 0 36 48 86 -4.44089209850063e-16
+24 0 1 0 0 36 48 88 -4.44089209850063e-16
+24 0 1 0 0 36 48 90 -4.44089209850063e-16
+24 0 1 0 0 36 48 92 -4.44089209850063e-16
+24 0 1 0 0 36 48 94 -4.44089209850063e-16
+24 0 1 0 0 36 48 96 -4.44089209850063e-16
+24 0 1 0 0 36 48 98 -4.44089209850063e-16
+24 0 1 0 0 36 48 100 -4.44089209850063e-16
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 -4.44089209850063e-16
+24 0 0 0 0 36 48 4 -4.44089209850063e-16
+24 0 0 0 0 36 48 8 -4.44089209850063e-16
+24 0 0 0 0 36 48 12 -4.44089209850063e-16
+24 0 0 0 0 36 48 16 -4.44089209850063e-16
+24 0 0 0 0 36 48 20 -4.44089209850063e-16
+24 0 0 0 0 36 48 24 -4.44089209850063e-16
+24 0 0 0 0 36 48 28 -4.44089209850063e-16
+24 0 0 0 0 36 48 32 -4.44089209850063e-16
+24 0 0 0 0 36 48 36 -4.44089209850063e-16
+24 0 0 0 0 36 48 40 -4.44089209850063e-16
+24 0 0 0 0 36 48 44 -4.44089209850063e-16
+24 0 0 0 0 36 48 48 -4.44089209850063e-16
+24 0 0 0 0 36 48 52 -4.44089209850063e-16
+24 0 0 0 0 36 48 56 -4.44089209850063e-16
+24 0 0 0 0 36 48 60 -4.44089209850063e-16
+24 0 0 0 0 36 48 64 -4.44089209850063e-16
+24 0 0 0 0 36 48 68 -4.44089209850063e-16
+24 0 0 0 0 36 48 72 -4.44089209850063e-16
+24 0 0 0 0 36 48 76 -4.44089209850063e-16
+24 0 0 0 0 36 48 80 -4.44089209850063e-16
+24 0 0 0 0 36 48 84 -4.44089209850063e-16
+24 0 0 0 0 36 48 88 -4.44089209850063e-16
+24 0 0 0 0 36 48 92 -4.44089209850063e-16
+24 0 0 0 0 36 48 96 -4.44089209850063e-16
+24 0 0 0 0 36 48 100 -4.44089209850063e-16
+24 0 0 0 0 36 48 104 -4.44089209850063e-16
+24 0 0 0 0 36 48 108 -4.44089209850063e-16
+24 0 0 0 0 36 48 112 -4.44089209850063e-16
+24 0 0 0 0 36 48 116 -4.44089209850063e-16
+24 0 0 0 0 36 48 120 -4.44089209850063e-16
+24 0 0 0 0 36 48 124 -4.44089209850063e-16
+24 0 0 0 0 36 48 128 -4.44089209850063e-16
+24 0 0 0 0 36 48 132 -4.44089209850063e-16
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_z.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_z.xl
new file mode 100644
index 000000000..53b7b5e1e
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_z.xl
@@ -0,0 +1,1082 @@
+# GRID::cart3d_z x (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0
+0 0 2 0 0 28 48 64 0
+0 0 2 0 0 29 48 64 0
+0 0 2 0 0 30 48 64 0
+0 0 2 0 0 31 48 64 0
+0 0 2 0 0 32 48 64 0
+0 0 2 0 0 33 48 64 0
+0 0 2 0 0 34 48 64 0
+0 0 2 0 0 35 48 64 0
+0 0 2 0 0 36 48 64 0
+0 0 2 0 0 37 48 64 0
+0 0 2 0 0 38 48 64 0
+0 0 2 0 0 39 48 64 0
+0 0 2 0 0 40 48 64 0
+0 0 2 0 0 41 48 64 0
+0 0 2 0 0 42 48 64 0
+0 0 2 0 0 43 48 64 0
+0 0 2 0 0 44 48 64 0
+0 0 2 0 0 45 48 64 0
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 0
+0 0 1 0 0 20 48 64 0
+0 0 1 0 0 22 48 64 0
+0 0 1 0 0 24 48 64 0
+0 0 1 0 0 26 48 64 0
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+0 0 1 0 0 48 48 64 0
+0 0 1 0 0 50 48 64 0
+0 0 1 0 0 52 48 64 0
+0 0 1 0 0 54 48 64 0
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 0
+0 0 0 0 0 4 48 64 0
+0 0 0 0 0 8 48 64 0
+0 0 0 0 0 12 48 64 0
+0 0 0 0 0 16 48 64 0
+0 0 0 0 0 20 48 64 0
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+0 0 0 0 0 60 48 64 0
+0 0 0 0 0 64 48 64 0
+0 0 0 0 0 68 48 64 0
+0 0 0 0 0 72 48 64 0
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0
+1 0 2 0 0 28 48 64 0
+1 0 2 0 0 29 48 64 0
+1 0 2 0 0 30 48 64 0
+1 0 2 0 0 31 48 64 0
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+1 0 2 0 0 42 48 64 0
+1 0 2 0 0 43 48 64 0
+1 0 2 0 0 44 48 64 0
+1 0 2 0 0 45 48 64 0
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0
+2 0 2 0 0 28 48 64 0
+2 0 2 0 0 29 48 64 0
+2 0 2 0 0 30 48 64 0
+2 0 2 0 0 31 48 64 0
+2 0 2 0 0 32 48 64 0
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+2 0 2 0 0 36 48 64 0
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+2 0 2 0 0 39 48 64 0
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+2 0 2 0 0 42 48 64 0
+2 0 2 0 0 43 48 64 0
+2 0 2 0 0 44 48 64 0
+2 0 2 0 0 45 48 64 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 0
+2 0 1 0 0 20 48 64 0
+2 0 1 0 0 22 48 64 0
+2 0 1 0 0 24 48 64 0
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+2 0 1 0 0 48 48 64 0
+2 0 1 0 0 50 48 64 0
+2 0 1 0 0 52 48 64 0
+2 0 1 0 0 54 48 64 0
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0
+3 0 2 0 0 28 48 64 0
+3 0 2 0 0 29 48 64 0
+3 0 2 0 0 30 48 64 0
+3 0 2 0 0 31 48 64 0
+3 0 2 0 0 32 48 64 0
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+3 0 2 0 0 39 48 64 0
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+3 0 2 0 0 42 48 64 0
+3 0 2 0 0 43 48 64 0
+3 0 2 0 0 44 48 64 0
+3 0 2 0 0 45 48 64 0
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0
+4 0 2 0 0 28 48 64 0
+4 0 2 0 0 29 48 64 0
+4 0 2 0 0 30 48 64 0
+4 0 2 0 0 31 48 64 0
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+4 0 2 0 0 43 48 64 0
+4 0 2 0 0 44 48 64 0
+4 0 2 0 0 45 48 64 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 0
+4 0 1 0 0 20 48 64 0
+4 0 1 0 0 22 48 64 0
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+4 0 1 0 0 26 48 64 0
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+4 0 1 0 0 48 48 64 0
+4 0 1 0 0 50 48 64 0
+4 0 1 0 0 52 48 64 0
+4 0 1 0 0 54 48 64 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 0
+4 0 0 0 0 4 48 64 0
+4 0 0 0 0 8 48 64 0
+4 0 0 0 0 12 48 64 0
+4 0 0 0 0 16 48 64 0
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+4 0 0 0 0 60 48 64 0
+4 0 0 0 0 64 48 64 0
+4 0 0 0 0 68 48 64 0
+4 0 0 0 0 72 48 64 0
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0
+5 0 2 0 0 28 48 64 0
+5 0 2 0 0 29 48 64 0
+5 0 2 0 0 30 48 64 0
+5 0 2 0 0 31 48 64 0
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+5 0 2 0 0 43 48 64 0
+5 0 2 0 0 44 48 64 0
+5 0 2 0 0 45 48 64 0
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0
+6 0 2 0 0 28 48 64 0
+6 0 2 0 0 29 48 64 0
+6 0 2 0 0 30 48 64 0
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+6 0 2 0 0 43 48 64 0
+6 0 2 0 0 44 48 64 0
+6 0 2 0 0 45 48 64 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0
+6 0 1 0 0 20 48 64 0
+6 0 1 0 0 22 48 64 0
+6 0 1 0 0 24 48 64 0
+6 0 1 0 0 26 48 64 0
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+6 0 1 0 0 50 48 64 0
+6 0 1 0 0 52 48 64 0
+6 0 1 0 0 54 48 64 0
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0
+7 0 2 0 0 28 48 64 0
+7 0 2 0 0 29 48 64 0
+7 0 2 0 0 30 48 64 0
+7 0 2 0 0 31 48 64 0
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+7 0 2 0 0 43 48 64 0
+7 0 2 0 0 44 48 64 0
+7 0 2 0 0 45 48 64 0
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0
+8 0 2 0 0 28 48 64 0
+8 0 2 0 0 29 48 64 0
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+8 0 2 0 0 44 48 64 0
+8 0 2 0 0 45 48 64 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0
+8 0 1 0 0 20 48 64 0
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+8 0 1 0 0 54 48 64 0
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 0
+8 0 0 0 0 4 48 64 0
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+8 0 0 0 0 72 48 64 0
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0
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+9 0 2 0 0 45 48 64 0
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0
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+10 0 2 0 0 45 48 64 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0
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+10 0 1 0 0 54 48 64 0
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 0
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+11 0 2 0 0 45 48 64 0
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 0
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+12 0 2 0 0 45 48 64 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0
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+12 0 1 0 0 54 48 64 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 0
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+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 0
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+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 0
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+14 0 2 0 0 45 48 64 0
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0
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+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 0
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+15 0 2 0 0 45 48 64 0
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 0
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+16 0 2 0 0 45 48 64 0
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0
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+16 0 1 0 0 54 48 64 0
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 0
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+16 0 0 0 0 72 48 64 0
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 0
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+17 0 2 0 0 45 48 64 0
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 0
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+18 0 2 0 0 45 48 64 0
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0
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+18 0 1 0 0 54 48 64 0
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 0
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+19 0 2 0 0 45 48 64 0
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 0
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+20 0 2 0 0 45 48 64 0
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0
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+20 0 1 0 0 54 48 64 0
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 0
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+20 0 0 0 0 72 48 64 0
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 0
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+21 0 2 0 0 45 48 64 0
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 0
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+22 0 2 0 0 44 48 64 0
+22 0 2 0 0 45 48 64 0
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 0
+22 0 1 0 0 20 48 64 0
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+22 0 1 0 0 52 48 64 0
+22 0 1 0 0 54 48 64 0
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 0
+23 0 2 0 0 28 48 64 0
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+23 0 2 0 0 44 48 64 0
+23 0 2 0 0 45 48 64 0
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 0
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+24 0 2 0 0 44 48 64 0
+24 0 2 0 0 45 48 64 0
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 0
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+24 0 1 0 0 52 48 64 0
+24 0 1 0 0 54 48 64 0
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 0
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+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_z.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_z.yl
new file mode 100644
index 000000000..436f68412
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_z.yl
@@ -0,0 +1,1397 @@
+# GRID::cart3d_z y (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0
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+0 0 2 0 0 36 63 64 0
+0 0 2 0 0 36 64 64 0
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 0
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+0 0 1 0 0 36 76 64 0
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 0
+0 0 0 0 0 36 4 64 0
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+0 0 0 0 0 36 100 64 0
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 0
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+1 0 2 0 0 36 64 64 0
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 0
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+2 0 2 0 0 36 64 64 0
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 0
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+2 0 1 0 0 36 76 64 0
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0
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+3 0 2 0 0 36 64 64 0
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0
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+4 0 2 0 0 36 64 64 0
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0
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+4 0 1 0 0 36 76 64 0
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 0
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+4 0 0 0 0 36 100 64 0
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0
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+5 0 2 0 0 36 64 64 0
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0
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+6 0 2 0 0 36 64 64 0
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0
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+6 0 1 0 0 36 76 64 0
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 0
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+7 0 2 0 0 36 64 64 0
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 0
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+8 0 2 0 0 36 64 64 0
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0
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+8 0 1 0 0 36 76 64 0
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 0
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+8 0 0 0 0 36 100 64 0
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 0
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+9 0 2 0 0 36 64 64 0
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 0
+10 0 2 0 0 36 40 64 0
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+10 0 2 0 0 36 62 64 0
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+10 0 2 0 0 36 64 64 0
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0
+10 0 1 0 0 36 28 64 0
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+10 0 1 0 0 36 72 64 0
+10 0 1 0 0 36 74 64 0
+10 0 1 0 0 36 76 64 0
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 0
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+11 0 2 0 0 36 64 64 0
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 0
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+12 0 2 0 0 36 61 64 0
+12 0 2 0 0 36 62 64 0
+12 0 2 0 0 36 63 64 0
+12 0 2 0 0 36 64 64 0
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0
+12 0 1 0 0 36 28 64 0
+12 0 1 0 0 36 30 64 0
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+12 0 1 0 0 36 72 64 0
+12 0 1 0 0 36 74 64 0
+12 0 1 0 0 36 76 64 0
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 0
+12 0 0 0 0 36 4 64 0
+12 0 0 0 0 36 8 64 0
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+12 0 0 0 0 36 92 64 0
+12 0 0 0 0 36 96 64 0
+12 0 0 0 0 36 100 64 0
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 0
+13 0 2 0 0 36 40 64 0
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+13 0 2 0 0 36 64 64 0
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 0
+14 0 2 0 0 36 40 64 0
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+14 0 2 0 0 36 63 64 0
+14 0 2 0 0 36 64 64 0
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0
+14 0 1 0 0 36 28 64 0
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+14 0 1 0 0 36 76 64 0
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 0
+15 0 2 0 0 36 40 64 0
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+15 0 2 0 0 36 64 64 0
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 0
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+16 0 2 0 0 36 64 64 0
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0
+16 0 1 0 0 36 28 64 0
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+16 0 1 0 0 36 76 64 0
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 0
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+16 0 0 0 0 36 100 64 0
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 0
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+17 0 2 0 0 36 64 64 0
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 0
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+18 0 2 0 0 36 64 64 0
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 0
+18 0 1 0 0 36 28 64 0
+18 0 1 0 0 36 30 64 0
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+18 0 1 0 0 36 76 64 0
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 0
+19 0 2 0 0 36 40 64 0
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+19 0 2 0 0 36 64 64 0
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 0
+20 0 2 0 0 36 40 64 0
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+20 0 2 0 0 36 64 64 0
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 0
+20 0 1 0 0 36 28 64 0
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+20 0 1 0 0 36 76 64 0
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 0
+20 0 0 0 0 36 4 64 0
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+20 0 0 0 0 36 100 64 0
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 0
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+21 0 2 0 0 36 64 64 0
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 0
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+22 0 2 0 0 36 64 64 0
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 0
+22 0 1 0 0 36 28 64 0
+22 0 1 0 0 36 30 64 0
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+22 0 1 0 0 36 72 64 0
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+22 0 1 0 0 36 76 64 0
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 0
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+23 0 2 0 0 36 64 64 0
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 0
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+24 0 2 0 0 36 63 64 0
+24 0 2 0 0 36 64 64 0
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 0
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+24 0 1 0 0 36 76 64 0
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 0
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+24 0 0 0 0 36 56 64 0
+24 0 0 0 0 36 60 64 0
+24 0 0 0 0 36 64 64 0
+24 0 0 0 0 36 68 64 0
+24 0 0 0 0 36 72 64 0
+24 0 0 0 0 36 76 64 0
+24 0 0 0 0 36 80 64 0
+24 0 0 0 0 36 84 64 0
+24 0 0 0 0 36 88 64 0
+24 0 0 0 0 36 92 64 0
+24 0 0 0 0 36 96 64 0
+24 0 0 0 0 36 100 64 0
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_z.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_z.zl
new file mode 100644
index 000000000..e10c9f932
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/cart3d_z.zl
@@ -0,0 +1,1757 @@
+# GRID::cart3d_z z (cart3d_z)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 -1.95
+0 0 2 0 0 36 48 52 -1.8
+0 0 2 0 0 36 48 53 -1.65
+0 0 2 0 0 36 48 54 -1.5
+0 0 2 0 0 36 48 55 -1.35
+0 0 2 0 0 36 48 56 -1.2
+0 0 2 0 0 36 48 57 -1.05
+0 0 2 0 0 36 48 58 -0.9
+0 0 2 0 0 36 48 59 -0.75
+0 0 2 0 0 36 48 60 -0.6
+0 0 2 0 0 36 48 61 -0.45
+0 0 2 0 0 36 48 62 -0.3
+0 0 2 0 0 36 48 63 -0.15
+0 0 2 0 0 36 48 64 0
+0 0 2 0 0 36 48 65 0.15
+0 0 2 0 0 36 48 66 0.3
+0 0 2 0 0 36 48 67 0.45
+0 0 2 0 0 36 48 68 0.6
+0 0 2 0 0 36 48 69 0.75
+0 0 2 0 0 36 48 70 0.9
+0 0 2 0 0 36 48 71 1.05
+0 0 2 0 0 36 48 72 1.2
+0 0 2 0 0 36 48 73 1.35
+0 0 2 0 0 36 48 74 1.5
+0 0 2 0 0 36 48 75 1.65
+0 0 2 0 0 36 48 76 1.8
+0 0 2 0 0 36 48 77 1.95
+0 0 2 0 0 36 48 78 2.1
+0 0 2 0 0 36 48 79 2.25
+0 0 2 0 0 36 48 80 2.4
+0 0 2 0 0 36 48 81 2.55
+0 0 2 0 0 36 48 82 2.7
+0 0 2 0 0 36 48 83 2.85
+0 0 2 0 0 36 48 84 3
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -4.5
+0 0 1 0 0 36 48 36 -4.2
+0 0 1 0 0 36 48 38 -3.9
+0 0 1 0 0 36 48 40 -3.6
+0 0 1 0 0 36 48 42 -3.3
+0 0 1 0 0 36 48 44 -3
+0 0 1 0 0 36 48 46 -2.7
+0 0 1 0 0 36 48 48 -2.4
+0 0 1 0 0 36 48 50 -2.1
+0 0 1 0 0 36 48 52 -1.8
+0 0 1 0 0 36 48 54 -1.5
+0 0 1 0 0 36 48 56 -1.2
+0 0 1 0 0 36 48 58 -0.9
+0 0 1 0 0 36 48 60 -0.6
+0 0 1 0 0 36 48 62 -0.3
+0 0 1 0 0 36 48 64 0
+0 0 1 0 0 36 48 66 0.3
+0 0 1 0 0 36 48 68 0.6
+0 0 1 0 0 36 48 70 0.9
+0 0 1 0 0 36 48 72 1.2
+0 0 1 0 0 36 48 74 1.5
+0 0 1 0 0 36 48 76 1.8
+0 0 1 0 0 36 48 78 2.1
+0 0 1 0 0 36 48 80 2.4
+0 0 1 0 0 36 48 82 2.7
+0 0 1 0 0 36 48 84 3
+0 0 1 0 0 36 48 86 3.3
+0 0 1 0 0 36 48 88 3.6
+0 0 1 0 0 36 48 90 3.9
+0 0 1 0 0 36 48 92 4.2
+0 0 1 0 0 36 48 94 4.5
+0 0 1 0 0 36 48 96 4.8
+0 0 1 0 0 36 48 98 5.1
+0 0 1 0 0 36 48 100 5.4
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 -9.6
+0 0 0 0 0 36 48 4 -9
+0 0 0 0 0 36 48 8 -8.4
+0 0 0 0 0 36 48 12 -7.8
+0 0 0 0 0 36 48 16 -7.2
+0 0 0 0 0 36 48 20 -6.6
+0 0 0 0 0 36 48 24 -6
+0 0 0 0 0 36 48 28 -5.4
+0 0 0 0 0 36 48 32 -4.8
+0 0 0 0 0 36 48 36 -4.2
+0 0 0 0 0 36 48 40 -3.6
+0 0 0 0 0 36 48 44 -3
+0 0 0 0 0 36 48 48 -2.4
+0 0 0 0 0 36 48 52 -1.8
+0 0 0 0 0 36 48 56 -1.2
+0 0 0 0 0 36 48 60 -0.6
+0 0 0 0 0 36 48 64 0
+0 0 0 0 0 36 48 68 0.6
+0 0 0 0 0 36 48 72 1.2
+0 0 0 0 0 36 48 76 1.8
+0 0 0 0 0 36 48 80 2.4
+0 0 0 0 0 36 48 84 3
+0 0 0 0 0 36 48 88 3.6
+0 0 0 0 0 36 48 92 4.2
+0 0 0 0 0 36 48 96 4.8
+0 0 0 0 0 36 48 100 5.4
+0 0 0 0 0 36 48 104 6
+0 0 0 0 0 36 48 108 6.6
+0 0 0 0 0 36 48 112 7.2
+0 0 0 0 0 36 48 116 7.8
+0 0 0 0 0 36 48 120 8.4
+0 0 0 0 0 36 48 124 9
+0 0 0 0 0 36 48 128 9.6
+0 0 0 0 0 36 48 132 10.2
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 -1.95
+1 0 2 0 0 36 48 52 -1.8
+1 0 2 0 0 36 48 53 -1.65
+1 0 2 0 0 36 48 54 -1.5
+1 0 2 0 0 36 48 55 -1.35
+1 0 2 0 0 36 48 56 -1.2
+1 0 2 0 0 36 48 57 -1.05
+1 0 2 0 0 36 48 58 -0.9
+1 0 2 0 0 36 48 59 -0.75
+1 0 2 0 0 36 48 60 -0.6
+1 0 2 0 0 36 48 61 -0.45
+1 0 2 0 0 36 48 62 -0.3
+1 0 2 0 0 36 48 63 -0.15
+1 0 2 0 0 36 48 64 0
+1 0 2 0 0 36 48 65 0.15
+1 0 2 0 0 36 48 66 0.3
+1 0 2 0 0 36 48 67 0.45
+1 0 2 0 0 36 48 68 0.6
+1 0 2 0 0 36 48 69 0.75
+1 0 2 0 0 36 48 70 0.9
+1 0 2 0 0 36 48 71 1.05
+1 0 2 0 0 36 48 72 1.2
+1 0 2 0 0 36 48 73 1.35
+1 0 2 0 0 36 48 74 1.5
+1 0 2 0 0 36 48 75 1.65
+1 0 2 0 0 36 48 76 1.8
+1 0 2 0 0 36 48 77 1.95
+1 0 2 0 0 36 48 78 2.1
+1 0 2 0 0 36 48 79 2.25
+1 0 2 0 0 36 48 80 2.4
+1 0 2 0 0 36 48 81 2.55
+1 0 2 0 0 36 48 82 2.7
+1 0 2 0 0 36 48 83 2.85
+1 0 2 0 0 36 48 84 3
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 -1.95
+2 0 2 0 0 36 48 52 -1.8
+2 0 2 0 0 36 48 53 -1.65
+2 0 2 0 0 36 48 54 -1.5
+2 0 2 0 0 36 48 55 -1.35
+2 0 2 0 0 36 48 56 -1.2
+2 0 2 0 0 36 48 57 -1.05
+2 0 2 0 0 36 48 58 -0.9
+2 0 2 0 0 36 48 59 -0.75
+2 0 2 0 0 36 48 60 -0.6
+2 0 2 0 0 36 48 61 -0.45
+2 0 2 0 0 36 48 62 -0.3
+2 0 2 0 0 36 48 63 -0.15
+2 0 2 0 0 36 48 64 0
+2 0 2 0 0 36 48 65 0.15
+2 0 2 0 0 36 48 66 0.3
+2 0 2 0 0 36 48 67 0.45
+2 0 2 0 0 36 48 68 0.6
+2 0 2 0 0 36 48 69 0.75
+2 0 2 0 0 36 48 70 0.9
+2 0 2 0 0 36 48 71 1.05
+2 0 2 0 0 36 48 72 1.2
+2 0 2 0 0 36 48 73 1.35
+2 0 2 0 0 36 48 74 1.5
+2 0 2 0 0 36 48 75 1.65
+2 0 2 0 0 36 48 76 1.8
+2 0 2 0 0 36 48 77 1.95
+2 0 2 0 0 36 48 78 2.1
+2 0 2 0 0 36 48 79 2.25
+2 0 2 0 0 36 48 80 2.4
+2 0 2 0 0 36 48 81 2.55
+2 0 2 0 0 36 48 82 2.7
+2 0 2 0 0 36 48 83 2.85
+2 0 2 0 0 36 48 84 3
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -4.5
+2 0 1 0 0 36 48 36 -4.2
+2 0 1 0 0 36 48 38 -3.9
+2 0 1 0 0 36 48 40 -3.6
+2 0 1 0 0 36 48 42 -3.3
+2 0 1 0 0 36 48 44 -3
+2 0 1 0 0 36 48 46 -2.7
+2 0 1 0 0 36 48 48 -2.4
+2 0 1 0 0 36 48 50 -2.1
+2 0 1 0 0 36 48 52 -1.8
+2 0 1 0 0 36 48 54 -1.5
+2 0 1 0 0 36 48 56 -1.2
+2 0 1 0 0 36 48 58 -0.9
+2 0 1 0 0 36 48 60 -0.6
+2 0 1 0 0 36 48 62 -0.3
+2 0 1 0 0 36 48 64 0
+2 0 1 0 0 36 48 66 0.3
+2 0 1 0 0 36 48 68 0.6
+2 0 1 0 0 36 48 70 0.9
+2 0 1 0 0 36 48 72 1.2
+2 0 1 0 0 36 48 74 1.5
+2 0 1 0 0 36 48 76 1.8
+2 0 1 0 0 36 48 78 2.1
+2 0 1 0 0 36 48 80 2.4
+2 0 1 0 0 36 48 82 2.7
+2 0 1 0 0 36 48 84 3
+2 0 1 0 0 36 48 86 3.3
+2 0 1 0 0 36 48 88 3.6
+2 0 1 0 0 36 48 90 3.9
+2 0 1 0 0 36 48 92 4.2
+2 0 1 0 0 36 48 94 4.5
+2 0 1 0 0 36 48 96 4.8
+2 0 1 0 0 36 48 98 5.1
+2 0 1 0 0 36 48 100 5.4
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 -1.95
+3 0 2 0 0 36 48 52 -1.8
+3 0 2 0 0 36 48 53 -1.65
+3 0 2 0 0 36 48 54 -1.5
+3 0 2 0 0 36 48 55 -1.35
+3 0 2 0 0 36 48 56 -1.2
+3 0 2 0 0 36 48 57 -1.05
+3 0 2 0 0 36 48 58 -0.9
+3 0 2 0 0 36 48 59 -0.75
+3 0 2 0 0 36 48 60 -0.6
+3 0 2 0 0 36 48 61 -0.45
+3 0 2 0 0 36 48 62 -0.3
+3 0 2 0 0 36 48 63 -0.15
+3 0 2 0 0 36 48 64 0
+3 0 2 0 0 36 48 65 0.15
+3 0 2 0 0 36 48 66 0.3
+3 0 2 0 0 36 48 67 0.45
+3 0 2 0 0 36 48 68 0.6
+3 0 2 0 0 36 48 69 0.75
+3 0 2 0 0 36 48 70 0.9
+3 0 2 0 0 36 48 71 1.05
+3 0 2 0 0 36 48 72 1.2
+3 0 2 0 0 36 48 73 1.35
+3 0 2 0 0 36 48 74 1.5
+3 0 2 0 0 36 48 75 1.65
+3 0 2 0 0 36 48 76 1.8
+3 0 2 0 0 36 48 77 1.95
+3 0 2 0 0 36 48 78 2.1
+3 0 2 0 0 36 48 79 2.25
+3 0 2 0 0 36 48 80 2.4
+3 0 2 0 0 36 48 81 2.55
+3 0 2 0 0 36 48 82 2.7
+3 0 2 0 0 36 48 83 2.85
+3 0 2 0 0 36 48 84 3
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 -1.95
+4 0 2 0 0 36 48 52 -1.8
+4 0 2 0 0 36 48 53 -1.65
+4 0 2 0 0 36 48 54 -1.5
+4 0 2 0 0 36 48 55 -1.35
+4 0 2 0 0 36 48 56 -1.2
+4 0 2 0 0 36 48 57 -1.05
+4 0 2 0 0 36 48 58 -0.9
+4 0 2 0 0 36 48 59 -0.75
+4 0 2 0 0 36 48 60 -0.6
+4 0 2 0 0 36 48 61 -0.45
+4 0 2 0 0 36 48 62 -0.3
+4 0 2 0 0 36 48 63 -0.15
+4 0 2 0 0 36 48 64 0
+4 0 2 0 0 36 48 65 0.15
+4 0 2 0 0 36 48 66 0.3
+4 0 2 0 0 36 48 67 0.45
+4 0 2 0 0 36 48 68 0.6
+4 0 2 0 0 36 48 69 0.75
+4 0 2 0 0 36 48 70 0.9
+4 0 2 0 0 36 48 71 1.05
+4 0 2 0 0 36 48 72 1.2
+4 0 2 0 0 36 48 73 1.35
+4 0 2 0 0 36 48 74 1.5
+4 0 2 0 0 36 48 75 1.65
+4 0 2 0 0 36 48 76 1.8
+4 0 2 0 0 36 48 77 1.95
+4 0 2 0 0 36 48 78 2.1
+4 0 2 0 0 36 48 79 2.25
+4 0 2 0 0 36 48 80 2.4
+4 0 2 0 0 36 48 81 2.55
+4 0 2 0 0 36 48 82 2.7
+4 0 2 0 0 36 48 83 2.85
+4 0 2 0 0 36 48 84 3
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -4.5
+4 0 1 0 0 36 48 36 -4.2
+4 0 1 0 0 36 48 38 -3.9
+4 0 1 0 0 36 48 40 -3.6
+4 0 1 0 0 36 48 42 -3.3
+4 0 1 0 0 36 48 44 -3
+4 0 1 0 0 36 48 46 -2.7
+4 0 1 0 0 36 48 48 -2.4
+4 0 1 0 0 36 48 50 -2.1
+4 0 1 0 0 36 48 52 -1.8
+4 0 1 0 0 36 48 54 -1.5
+4 0 1 0 0 36 48 56 -1.2
+4 0 1 0 0 36 48 58 -0.9
+4 0 1 0 0 36 48 60 -0.6
+4 0 1 0 0 36 48 62 -0.3
+4 0 1 0 0 36 48 64 0
+4 0 1 0 0 36 48 66 0.3
+4 0 1 0 0 36 48 68 0.6
+4 0 1 0 0 36 48 70 0.9
+4 0 1 0 0 36 48 72 1.2
+4 0 1 0 0 36 48 74 1.5
+4 0 1 0 0 36 48 76 1.8
+4 0 1 0 0 36 48 78 2.1
+4 0 1 0 0 36 48 80 2.4
+4 0 1 0 0 36 48 82 2.7
+4 0 1 0 0 36 48 84 3
+4 0 1 0 0 36 48 86 3.3
+4 0 1 0 0 36 48 88 3.6
+4 0 1 0 0 36 48 90 3.9
+4 0 1 0 0 36 48 92 4.2
+4 0 1 0 0 36 48 94 4.5
+4 0 1 0 0 36 48 96 4.8
+4 0 1 0 0 36 48 98 5.1
+4 0 1 0 0 36 48 100 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 -9.6
+4 0 0 0 0 36 48 4 -9
+4 0 0 0 0 36 48 8 -8.4
+4 0 0 0 0 36 48 12 -7.8
+4 0 0 0 0 36 48 16 -7.2
+4 0 0 0 0 36 48 20 -6.6
+4 0 0 0 0 36 48 24 -6
+4 0 0 0 0 36 48 28 -5.4
+4 0 0 0 0 36 48 32 -4.8
+4 0 0 0 0 36 48 36 -4.2
+4 0 0 0 0 36 48 40 -3.6
+4 0 0 0 0 36 48 44 -3
+4 0 0 0 0 36 48 48 -2.4
+4 0 0 0 0 36 48 52 -1.8
+4 0 0 0 0 36 48 56 -1.2
+4 0 0 0 0 36 48 60 -0.6
+4 0 0 0 0 36 48 64 0
+4 0 0 0 0 36 48 68 0.6
+4 0 0 0 0 36 48 72 1.2
+4 0 0 0 0 36 48 76 1.8
+4 0 0 0 0 36 48 80 2.4
+4 0 0 0 0 36 48 84 3
+4 0 0 0 0 36 48 88 3.6
+4 0 0 0 0 36 48 92 4.2
+4 0 0 0 0 36 48 96 4.8
+4 0 0 0 0 36 48 100 5.4
+4 0 0 0 0 36 48 104 6
+4 0 0 0 0 36 48 108 6.6
+4 0 0 0 0 36 48 112 7.2
+4 0 0 0 0 36 48 116 7.8
+4 0 0 0 0 36 48 120 8.4
+4 0 0 0 0 36 48 124 9
+4 0 0 0 0 36 48 128 9.6
+4 0 0 0 0 36 48 132 10.2
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 -1.95
+5 0 2 0 0 36 48 52 -1.8
+5 0 2 0 0 36 48 53 -1.65
+5 0 2 0 0 36 48 54 -1.5
+5 0 2 0 0 36 48 55 -1.35
+5 0 2 0 0 36 48 56 -1.2
+5 0 2 0 0 36 48 57 -1.05
+5 0 2 0 0 36 48 58 -0.9
+5 0 2 0 0 36 48 59 -0.75
+5 0 2 0 0 36 48 60 -0.6
+5 0 2 0 0 36 48 61 -0.45
+5 0 2 0 0 36 48 62 -0.3
+5 0 2 0 0 36 48 63 -0.15
+5 0 2 0 0 36 48 64 0
+5 0 2 0 0 36 48 65 0.15
+5 0 2 0 0 36 48 66 0.3
+5 0 2 0 0 36 48 67 0.45
+5 0 2 0 0 36 48 68 0.6
+5 0 2 0 0 36 48 69 0.75
+5 0 2 0 0 36 48 70 0.9
+5 0 2 0 0 36 48 71 1.05
+5 0 2 0 0 36 48 72 1.2
+5 0 2 0 0 36 48 73 1.35
+5 0 2 0 0 36 48 74 1.5
+5 0 2 0 0 36 48 75 1.65
+5 0 2 0 0 36 48 76 1.8
+5 0 2 0 0 36 48 77 1.95
+5 0 2 0 0 36 48 78 2.1
+5 0 2 0 0 36 48 79 2.25
+5 0 2 0 0 36 48 80 2.4
+5 0 2 0 0 36 48 81 2.55
+5 0 2 0 0 36 48 82 2.7
+5 0 2 0 0 36 48 83 2.85
+5 0 2 0 0 36 48 84 3
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 -1.95
+6 0 2 0 0 36 48 52 -1.8
+6 0 2 0 0 36 48 53 -1.65
+6 0 2 0 0 36 48 54 -1.5
+6 0 2 0 0 36 48 55 -1.35
+6 0 2 0 0 36 48 56 -1.2
+6 0 2 0 0 36 48 57 -1.05
+6 0 2 0 0 36 48 58 -0.9
+6 0 2 0 0 36 48 59 -0.75
+6 0 2 0 0 36 48 60 -0.6
+6 0 2 0 0 36 48 61 -0.45
+6 0 2 0 0 36 48 62 -0.3
+6 0 2 0 0 36 48 63 -0.15
+6 0 2 0 0 36 48 64 0
+6 0 2 0 0 36 48 65 0.15
+6 0 2 0 0 36 48 66 0.3
+6 0 2 0 0 36 48 67 0.45
+6 0 2 0 0 36 48 68 0.6
+6 0 2 0 0 36 48 69 0.75
+6 0 2 0 0 36 48 70 0.9
+6 0 2 0 0 36 48 71 1.05
+6 0 2 0 0 36 48 72 1.2
+6 0 2 0 0 36 48 73 1.35
+6 0 2 0 0 36 48 74 1.5
+6 0 2 0 0 36 48 75 1.65
+6 0 2 0 0 36 48 76 1.8
+6 0 2 0 0 36 48 77 1.95
+6 0 2 0 0 36 48 78 2.1
+6 0 2 0 0 36 48 79 2.25
+6 0 2 0 0 36 48 80 2.4
+6 0 2 0 0 36 48 81 2.55
+6 0 2 0 0 36 48 82 2.7
+6 0 2 0 0 36 48 83 2.85
+6 0 2 0 0 36 48 84 3
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -4.5
+6 0 1 0 0 36 48 36 -4.2
+6 0 1 0 0 36 48 38 -3.9
+6 0 1 0 0 36 48 40 -3.6
+6 0 1 0 0 36 48 42 -3.3
+6 0 1 0 0 36 48 44 -3
+6 0 1 0 0 36 48 46 -2.7
+6 0 1 0 0 36 48 48 -2.4
+6 0 1 0 0 36 48 50 -2.1
+6 0 1 0 0 36 48 52 -1.8
+6 0 1 0 0 36 48 54 -1.5
+6 0 1 0 0 36 48 56 -1.2
+6 0 1 0 0 36 48 58 -0.9
+6 0 1 0 0 36 48 60 -0.6
+6 0 1 0 0 36 48 62 -0.3
+6 0 1 0 0 36 48 64 0
+6 0 1 0 0 36 48 66 0.3
+6 0 1 0 0 36 48 68 0.6
+6 0 1 0 0 36 48 70 0.9
+6 0 1 0 0 36 48 72 1.2
+6 0 1 0 0 36 48 74 1.5
+6 0 1 0 0 36 48 76 1.8
+6 0 1 0 0 36 48 78 2.1
+6 0 1 0 0 36 48 80 2.4
+6 0 1 0 0 36 48 82 2.7
+6 0 1 0 0 36 48 84 3
+6 0 1 0 0 36 48 86 3.3
+6 0 1 0 0 36 48 88 3.6
+6 0 1 0 0 36 48 90 3.9
+6 0 1 0 0 36 48 92 4.2
+6 0 1 0 0 36 48 94 4.5
+6 0 1 0 0 36 48 96 4.8
+6 0 1 0 0 36 48 98 5.1
+6 0 1 0 0 36 48 100 5.4
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 -1.95
+7 0 2 0 0 36 48 52 -1.8
+7 0 2 0 0 36 48 53 -1.65
+7 0 2 0 0 36 48 54 -1.5
+7 0 2 0 0 36 48 55 -1.35
+7 0 2 0 0 36 48 56 -1.2
+7 0 2 0 0 36 48 57 -1.05
+7 0 2 0 0 36 48 58 -0.9
+7 0 2 0 0 36 48 59 -0.75
+7 0 2 0 0 36 48 60 -0.6
+7 0 2 0 0 36 48 61 -0.45
+7 0 2 0 0 36 48 62 -0.3
+7 0 2 0 0 36 48 63 -0.15
+7 0 2 0 0 36 48 64 0
+7 0 2 0 0 36 48 65 0.15
+7 0 2 0 0 36 48 66 0.3
+7 0 2 0 0 36 48 67 0.45
+7 0 2 0 0 36 48 68 0.6
+7 0 2 0 0 36 48 69 0.75
+7 0 2 0 0 36 48 70 0.9
+7 0 2 0 0 36 48 71 1.05
+7 0 2 0 0 36 48 72 1.2
+7 0 2 0 0 36 48 73 1.35
+7 0 2 0 0 36 48 74 1.5
+7 0 2 0 0 36 48 75 1.65
+7 0 2 0 0 36 48 76 1.8
+7 0 2 0 0 36 48 77 1.95
+7 0 2 0 0 36 48 78 2.1
+7 0 2 0 0 36 48 79 2.25
+7 0 2 0 0 36 48 80 2.4
+7 0 2 0 0 36 48 81 2.55
+7 0 2 0 0 36 48 82 2.7
+7 0 2 0 0 36 48 83 2.85
+7 0 2 0 0 36 48 84 3
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 -1.95
+8 0 2 0 0 36 48 52 -1.8
+8 0 2 0 0 36 48 53 -1.65
+8 0 2 0 0 36 48 54 -1.5
+8 0 2 0 0 36 48 55 -1.35
+8 0 2 0 0 36 48 56 -1.2
+8 0 2 0 0 36 48 57 -1.05
+8 0 2 0 0 36 48 58 -0.9
+8 0 2 0 0 36 48 59 -0.75
+8 0 2 0 0 36 48 60 -0.6
+8 0 2 0 0 36 48 61 -0.45
+8 0 2 0 0 36 48 62 -0.3
+8 0 2 0 0 36 48 63 -0.15
+8 0 2 0 0 36 48 64 0
+8 0 2 0 0 36 48 65 0.15
+8 0 2 0 0 36 48 66 0.3
+8 0 2 0 0 36 48 67 0.45
+8 0 2 0 0 36 48 68 0.6
+8 0 2 0 0 36 48 69 0.75
+8 0 2 0 0 36 48 70 0.9
+8 0 2 0 0 36 48 71 1.05
+8 0 2 0 0 36 48 72 1.2
+8 0 2 0 0 36 48 73 1.35
+8 0 2 0 0 36 48 74 1.5
+8 0 2 0 0 36 48 75 1.65
+8 0 2 0 0 36 48 76 1.8
+8 0 2 0 0 36 48 77 1.95
+8 0 2 0 0 36 48 78 2.1
+8 0 2 0 0 36 48 79 2.25
+8 0 2 0 0 36 48 80 2.4
+8 0 2 0 0 36 48 81 2.55
+8 0 2 0 0 36 48 82 2.7
+8 0 2 0 0 36 48 83 2.85
+8 0 2 0 0 36 48 84 3
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -4.5
+8 0 1 0 0 36 48 36 -4.2
+8 0 1 0 0 36 48 38 -3.9
+8 0 1 0 0 36 48 40 -3.6
+8 0 1 0 0 36 48 42 -3.3
+8 0 1 0 0 36 48 44 -3
+8 0 1 0 0 36 48 46 -2.7
+8 0 1 0 0 36 48 48 -2.4
+8 0 1 0 0 36 48 50 -2.1
+8 0 1 0 0 36 48 52 -1.8
+8 0 1 0 0 36 48 54 -1.5
+8 0 1 0 0 36 48 56 -1.2
+8 0 1 0 0 36 48 58 -0.9
+8 0 1 0 0 36 48 60 -0.6
+8 0 1 0 0 36 48 62 -0.3
+8 0 1 0 0 36 48 64 0
+8 0 1 0 0 36 48 66 0.3
+8 0 1 0 0 36 48 68 0.6
+8 0 1 0 0 36 48 70 0.9
+8 0 1 0 0 36 48 72 1.2
+8 0 1 0 0 36 48 74 1.5
+8 0 1 0 0 36 48 76 1.8
+8 0 1 0 0 36 48 78 2.1
+8 0 1 0 0 36 48 80 2.4
+8 0 1 0 0 36 48 82 2.7
+8 0 1 0 0 36 48 84 3
+8 0 1 0 0 36 48 86 3.3
+8 0 1 0 0 36 48 88 3.6
+8 0 1 0 0 36 48 90 3.9
+8 0 1 0 0 36 48 92 4.2
+8 0 1 0 0 36 48 94 4.5
+8 0 1 0 0 36 48 96 4.8
+8 0 1 0 0 36 48 98 5.1
+8 0 1 0 0 36 48 100 5.4
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 -9.6
+8 0 0 0 0 36 48 4 -9
+8 0 0 0 0 36 48 8 -8.4
+8 0 0 0 0 36 48 12 -7.8
+8 0 0 0 0 36 48 16 -7.2
+8 0 0 0 0 36 48 20 -6.6
+8 0 0 0 0 36 48 24 -6
+8 0 0 0 0 36 48 28 -5.4
+8 0 0 0 0 36 48 32 -4.8
+8 0 0 0 0 36 48 36 -4.2
+8 0 0 0 0 36 48 40 -3.6
+8 0 0 0 0 36 48 44 -3
+8 0 0 0 0 36 48 48 -2.4
+8 0 0 0 0 36 48 52 -1.8
+8 0 0 0 0 36 48 56 -1.2
+8 0 0 0 0 36 48 60 -0.6
+8 0 0 0 0 36 48 64 0
+8 0 0 0 0 36 48 68 0.6
+8 0 0 0 0 36 48 72 1.2
+8 0 0 0 0 36 48 76 1.8
+8 0 0 0 0 36 48 80 2.4
+8 0 0 0 0 36 48 84 3
+8 0 0 0 0 36 48 88 3.6
+8 0 0 0 0 36 48 92 4.2
+8 0 0 0 0 36 48 96 4.8
+8 0 0 0 0 36 48 100 5.4
+8 0 0 0 0 36 48 104 6
+8 0 0 0 0 36 48 108 6.6
+8 0 0 0 0 36 48 112 7.2
+8 0 0 0 0 36 48 116 7.8
+8 0 0 0 0 36 48 120 8.4
+8 0 0 0 0 36 48 124 9
+8 0 0 0 0 36 48 128 9.6
+8 0 0 0 0 36 48 132 10.2
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 -1.95
+9 0 2 0 0 36 48 52 -1.8
+9 0 2 0 0 36 48 53 -1.65
+9 0 2 0 0 36 48 54 -1.5
+9 0 2 0 0 36 48 55 -1.35
+9 0 2 0 0 36 48 56 -1.2
+9 0 2 0 0 36 48 57 -1.05
+9 0 2 0 0 36 48 58 -0.9
+9 0 2 0 0 36 48 59 -0.75
+9 0 2 0 0 36 48 60 -0.6
+9 0 2 0 0 36 48 61 -0.45
+9 0 2 0 0 36 48 62 -0.3
+9 0 2 0 0 36 48 63 -0.15
+9 0 2 0 0 36 48 64 0
+9 0 2 0 0 36 48 65 0.15
+9 0 2 0 0 36 48 66 0.3
+9 0 2 0 0 36 48 67 0.45
+9 0 2 0 0 36 48 68 0.6
+9 0 2 0 0 36 48 69 0.75
+9 0 2 0 0 36 48 70 0.9
+9 0 2 0 0 36 48 71 1.05
+9 0 2 0 0 36 48 72 1.2
+9 0 2 0 0 36 48 73 1.35
+9 0 2 0 0 36 48 74 1.5
+9 0 2 0 0 36 48 75 1.65
+9 0 2 0 0 36 48 76 1.8
+9 0 2 0 0 36 48 77 1.95
+9 0 2 0 0 36 48 78 2.1
+9 0 2 0 0 36 48 79 2.25
+9 0 2 0 0 36 48 80 2.4
+9 0 2 0 0 36 48 81 2.55
+9 0 2 0 0 36 48 82 2.7
+9 0 2 0 0 36 48 83 2.85
+9 0 2 0 0 36 48 84 3
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 -1.95
+10 0 2 0 0 36 48 52 -1.8
+10 0 2 0 0 36 48 53 -1.65
+10 0 2 0 0 36 48 54 -1.5
+10 0 2 0 0 36 48 55 -1.35
+10 0 2 0 0 36 48 56 -1.2
+10 0 2 0 0 36 48 57 -1.05
+10 0 2 0 0 36 48 58 -0.9
+10 0 2 0 0 36 48 59 -0.75
+10 0 2 0 0 36 48 60 -0.6
+10 0 2 0 0 36 48 61 -0.45
+10 0 2 0 0 36 48 62 -0.3
+10 0 2 0 0 36 48 63 -0.15
+10 0 2 0 0 36 48 64 0
+10 0 2 0 0 36 48 65 0.15
+10 0 2 0 0 36 48 66 0.3
+10 0 2 0 0 36 48 67 0.45
+10 0 2 0 0 36 48 68 0.6
+10 0 2 0 0 36 48 69 0.75
+10 0 2 0 0 36 48 70 0.9
+10 0 2 0 0 36 48 71 1.05
+10 0 2 0 0 36 48 72 1.2
+10 0 2 0 0 36 48 73 1.35
+10 0 2 0 0 36 48 74 1.5
+10 0 2 0 0 36 48 75 1.65
+10 0 2 0 0 36 48 76 1.8
+10 0 2 0 0 36 48 77 1.95
+10 0 2 0 0 36 48 78 2.1
+10 0 2 0 0 36 48 79 2.25
+10 0 2 0 0 36 48 80 2.4
+10 0 2 0 0 36 48 81 2.55
+10 0 2 0 0 36 48 82 2.7
+10 0 2 0 0 36 48 83 2.85
+10 0 2 0 0 36 48 84 3
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -4.5
+10 0 1 0 0 36 48 36 -4.2
+10 0 1 0 0 36 48 38 -3.9
+10 0 1 0 0 36 48 40 -3.6
+10 0 1 0 0 36 48 42 -3.3
+10 0 1 0 0 36 48 44 -3
+10 0 1 0 0 36 48 46 -2.7
+10 0 1 0 0 36 48 48 -2.4
+10 0 1 0 0 36 48 50 -2.1
+10 0 1 0 0 36 48 52 -1.8
+10 0 1 0 0 36 48 54 -1.5
+10 0 1 0 0 36 48 56 -1.2
+10 0 1 0 0 36 48 58 -0.9
+10 0 1 0 0 36 48 60 -0.6
+10 0 1 0 0 36 48 62 -0.3
+10 0 1 0 0 36 48 64 0
+10 0 1 0 0 36 48 66 0.3
+10 0 1 0 0 36 48 68 0.6
+10 0 1 0 0 36 48 70 0.9
+10 0 1 0 0 36 48 72 1.2
+10 0 1 0 0 36 48 74 1.5
+10 0 1 0 0 36 48 76 1.8
+10 0 1 0 0 36 48 78 2.1
+10 0 1 0 0 36 48 80 2.4
+10 0 1 0 0 36 48 82 2.7
+10 0 1 0 0 36 48 84 3
+10 0 1 0 0 36 48 86 3.3
+10 0 1 0 0 36 48 88 3.6
+10 0 1 0 0 36 48 90 3.9
+10 0 1 0 0 36 48 92 4.2
+10 0 1 0 0 36 48 94 4.5
+10 0 1 0 0 36 48 96 4.8
+10 0 1 0 0 36 48 98 5.1
+10 0 1 0 0 36 48 100 5.4
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 -1.95
+11 0 2 0 0 36 48 52 -1.8
+11 0 2 0 0 36 48 53 -1.65
+11 0 2 0 0 36 48 54 -1.5
+11 0 2 0 0 36 48 55 -1.35
+11 0 2 0 0 36 48 56 -1.2
+11 0 2 0 0 36 48 57 -1.05
+11 0 2 0 0 36 48 58 -0.9
+11 0 2 0 0 36 48 59 -0.75
+11 0 2 0 0 36 48 60 -0.6
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+11 0 2 0 0 36 48 62 -0.3
+11 0 2 0 0 36 48 63 -0.15
+11 0 2 0 0 36 48 64 0
+11 0 2 0 0 36 48 65 0.15
+11 0 2 0 0 36 48 66 0.3
+11 0 2 0 0 36 48 67 0.45
+11 0 2 0 0 36 48 68 0.6
+11 0 2 0 0 36 48 69 0.75
+11 0 2 0 0 36 48 70 0.9
+11 0 2 0 0 36 48 71 1.05
+11 0 2 0 0 36 48 72 1.2
+11 0 2 0 0 36 48 73 1.35
+11 0 2 0 0 36 48 74 1.5
+11 0 2 0 0 36 48 75 1.65
+11 0 2 0 0 36 48 76 1.8
+11 0 2 0 0 36 48 77 1.95
+11 0 2 0 0 36 48 78 2.1
+11 0 2 0 0 36 48 79 2.25
+11 0 2 0 0 36 48 80 2.4
+11 0 2 0 0 36 48 81 2.55
+11 0 2 0 0 36 48 82 2.7
+11 0 2 0 0 36 48 83 2.85
+11 0 2 0 0 36 48 84 3
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 -1.95
+12 0 2 0 0 36 48 52 -1.8
+12 0 2 0 0 36 48 53 -1.65
+12 0 2 0 0 36 48 54 -1.5
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+12 0 2 0 0 36 48 56 -1.2
+12 0 2 0 0 36 48 57 -1.05
+12 0 2 0 0 36 48 58 -0.9
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+12 0 2 0 0 36 48 62 -0.3
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+12 0 2 0 0 36 48 64 0
+12 0 2 0 0 36 48 65 0.15
+12 0 2 0 0 36 48 66 0.3
+12 0 2 0 0 36 48 67 0.45
+12 0 2 0 0 36 48 68 0.6
+12 0 2 0 0 36 48 69 0.75
+12 0 2 0 0 36 48 70 0.9
+12 0 2 0 0 36 48 71 1.05
+12 0 2 0 0 36 48 72 1.2
+12 0 2 0 0 36 48 73 1.35
+12 0 2 0 0 36 48 74 1.5
+12 0 2 0 0 36 48 75 1.65
+12 0 2 0 0 36 48 76 1.8
+12 0 2 0 0 36 48 77 1.95
+12 0 2 0 0 36 48 78 2.1
+12 0 2 0 0 36 48 79 2.25
+12 0 2 0 0 36 48 80 2.4
+12 0 2 0 0 36 48 81 2.55
+12 0 2 0 0 36 48 82 2.7
+12 0 2 0 0 36 48 83 2.85
+12 0 2 0 0 36 48 84 3
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -4.5
+12 0 1 0 0 36 48 36 -4.2
+12 0 1 0 0 36 48 38 -3.9
+12 0 1 0 0 36 48 40 -3.6
+12 0 1 0 0 36 48 42 -3.3
+12 0 1 0 0 36 48 44 -3
+12 0 1 0 0 36 48 46 -2.7
+12 0 1 0 0 36 48 48 -2.4
+12 0 1 0 0 36 48 50 -2.1
+12 0 1 0 0 36 48 52 -1.8
+12 0 1 0 0 36 48 54 -1.5
+12 0 1 0 0 36 48 56 -1.2
+12 0 1 0 0 36 48 58 -0.9
+12 0 1 0 0 36 48 60 -0.6
+12 0 1 0 0 36 48 62 -0.3
+12 0 1 0 0 36 48 64 0
+12 0 1 0 0 36 48 66 0.3
+12 0 1 0 0 36 48 68 0.6
+12 0 1 0 0 36 48 70 0.9
+12 0 1 0 0 36 48 72 1.2
+12 0 1 0 0 36 48 74 1.5
+12 0 1 0 0 36 48 76 1.8
+12 0 1 0 0 36 48 78 2.1
+12 0 1 0 0 36 48 80 2.4
+12 0 1 0 0 36 48 82 2.7
+12 0 1 0 0 36 48 84 3
+12 0 1 0 0 36 48 86 3.3
+12 0 1 0 0 36 48 88 3.6
+12 0 1 0 0 36 48 90 3.9
+12 0 1 0 0 36 48 92 4.2
+12 0 1 0 0 36 48 94 4.5
+12 0 1 0 0 36 48 96 4.8
+12 0 1 0 0 36 48 98 5.1
+12 0 1 0 0 36 48 100 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 -9.6
+12 0 0 0 0 36 48 4 -9
+12 0 0 0 0 36 48 8 -8.4
+12 0 0 0 0 36 48 12 -7.8
+12 0 0 0 0 36 48 16 -7.2
+12 0 0 0 0 36 48 20 -6.6
+12 0 0 0 0 36 48 24 -6
+12 0 0 0 0 36 48 28 -5.4
+12 0 0 0 0 36 48 32 -4.8
+12 0 0 0 0 36 48 36 -4.2
+12 0 0 0 0 36 48 40 -3.6
+12 0 0 0 0 36 48 44 -3
+12 0 0 0 0 36 48 48 -2.4
+12 0 0 0 0 36 48 52 -1.8
+12 0 0 0 0 36 48 56 -1.2
+12 0 0 0 0 36 48 60 -0.6
+12 0 0 0 0 36 48 64 0
+12 0 0 0 0 36 48 68 0.6
+12 0 0 0 0 36 48 72 1.2
+12 0 0 0 0 36 48 76 1.8
+12 0 0 0 0 36 48 80 2.4
+12 0 0 0 0 36 48 84 3
+12 0 0 0 0 36 48 88 3.6
+12 0 0 0 0 36 48 92 4.2
+12 0 0 0 0 36 48 96 4.8
+12 0 0 0 0 36 48 100 5.4
+12 0 0 0 0 36 48 104 6
+12 0 0 0 0 36 48 108 6.6
+12 0 0 0 0 36 48 112 7.2
+12 0 0 0 0 36 48 116 7.8
+12 0 0 0 0 36 48 120 8.4
+12 0 0 0 0 36 48 124 9
+12 0 0 0 0 36 48 128 9.6
+12 0 0 0 0 36 48 132 10.2
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 -1.95
+13 0 2 0 0 36 48 52 -1.8
+13 0 2 0 0 36 48 53 -1.65
+13 0 2 0 0 36 48 54 -1.5
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+13 0 2 0 0 36 48 56 -1.2
+13 0 2 0 0 36 48 57 -1.05
+13 0 2 0 0 36 48 58 -0.9
+13 0 2 0 0 36 48 59 -0.75
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+13 0 2 0 0 36 48 61 -0.45
+13 0 2 0 0 36 48 62 -0.3
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+13 0 2 0 0 36 48 64 0
+13 0 2 0 0 36 48 65 0.15
+13 0 2 0 0 36 48 66 0.3
+13 0 2 0 0 36 48 67 0.45
+13 0 2 0 0 36 48 68 0.6
+13 0 2 0 0 36 48 69 0.75
+13 0 2 0 0 36 48 70 0.9
+13 0 2 0 0 36 48 71 1.05
+13 0 2 0 0 36 48 72 1.2
+13 0 2 0 0 36 48 73 1.35
+13 0 2 0 0 36 48 74 1.5
+13 0 2 0 0 36 48 75 1.65
+13 0 2 0 0 36 48 76 1.8
+13 0 2 0 0 36 48 77 1.95
+13 0 2 0 0 36 48 78 2.1
+13 0 2 0 0 36 48 79 2.25
+13 0 2 0 0 36 48 80 2.4
+13 0 2 0 0 36 48 81 2.55
+13 0 2 0 0 36 48 82 2.7
+13 0 2 0 0 36 48 83 2.85
+13 0 2 0 0 36 48 84 3
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 -1.95
+14 0 2 0 0 36 48 52 -1.8
+14 0 2 0 0 36 48 53 -1.65
+14 0 2 0 0 36 48 54 -1.5
+14 0 2 0 0 36 48 55 -1.35
+14 0 2 0 0 36 48 56 -1.2
+14 0 2 0 0 36 48 57 -1.05
+14 0 2 0 0 36 48 58 -0.9
+14 0 2 0 0 36 48 59 -0.75
+14 0 2 0 0 36 48 60 -0.6
+14 0 2 0 0 36 48 61 -0.45
+14 0 2 0 0 36 48 62 -0.3
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+14 0 2 0 0 36 48 64 0
+14 0 2 0 0 36 48 65 0.15
+14 0 2 0 0 36 48 66 0.3
+14 0 2 0 0 36 48 67 0.45
+14 0 2 0 0 36 48 68 0.6
+14 0 2 0 0 36 48 69 0.75
+14 0 2 0 0 36 48 70 0.9
+14 0 2 0 0 36 48 71 1.05
+14 0 2 0 0 36 48 72 1.2
+14 0 2 0 0 36 48 73 1.35
+14 0 2 0 0 36 48 74 1.5
+14 0 2 0 0 36 48 75 1.65
+14 0 2 0 0 36 48 76 1.8
+14 0 2 0 0 36 48 77 1.95
+14 0 2 0 0 36 48 78 2.1
+14 0 2 0 0 36 48 79 2.25
+14 0 2 0 0 36 48 80 2.4
+14 0 2 0 0 36 48 81 2.55
+14 0 2 0 0 36 48 82 2.7
+14 0 2 0 0 36 48 83 2.85
+14 0 2 0 0 36 48 84 3
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 -4.5
+14 0 1 0 0 36 48 36 -4.2
+14 0 1 0 0 36 48 38 -3.9
+14 0 1 0 0 36 48 40 -3.6
+14 0 1 0 0 36 48 42 -3.3
+14 0 1 0 0 36 48 44 -3
+14 0 1 0 0 36 48 46 -2.7
+14 0 1 0 0 36 48 48 -2.4
+14 0 1 0 0 36 48 50 -2.1
+14 0 1 0 0 36 48 52 -1.8
+14 0 1 0 0 36 48 54 -1.5
+14 0 1 0 0 36 48 56 -1.2
+14 0 1 0 0 36 48 58 -0.9
+14 0 1 0 0 36 48 60 -0.6
+14 0 1 0 0 36 48 62 -0.3
+14 0 1 0 0 36 48 64 0
+14 0 1 0 0 36 48 66 0.3
+14 0 1 0 0 36 48 68 0.6
+14 0 1 0 0 36 48 70 0.9
+14 0 1 0 0 36 48 72 1.2
+14 0 1 0 0 36 48 74 1.5
+14 0 1 0 0 36 48 76 1.8
+14 0 1 0 0 36 48 78 2.1
+14 0 1 0 0 36 48 80 2.4
+14 0 1 0 0 36 48 82 2.7
+14 0 1 0 0 36 48 84 3
+14 0 1 0 0 36 48 86 3.3
+14 0 1 0 0 36 48 88 3.6
+14 0 1 0 0 36 48 90 3.9
+14 0 1 0 0 36 48 92 4.2
+14 0 1 0 0 36 48 94 4.5
+14 0 1 0 0 36 48 96 4.8
+14 0 1 0 0 36 48 98 5.1
+14 0 1 0 0 36 48 100 5.4
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 -1.95
+15 0 2 0 0 36 48 52 -1.8
+15 0 2 0 0 36 48 53 -1.65
+15 0 2 0 0 36 48 54 -1.5
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+15 0 2 0 0 36 48 57 -1.05
+15 0 2 0 0 36 48 58 -0.9
+15 0 2 0 0 36 48 59 -0.75
+15 0 2 0 0 36 48 60 -0.6
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+15 0 2 0 0 36 48 62 -0.3
+15 0 2 0 0 36 48 63 -0.15
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+15 0 2 0 0 36 48 65 0.15
+15 0 2 0 0 36 48 66 0.3
+15 0 2 0 0 36 48 67 0.45
+15 0 2 0 0 36 48 68 0.6
+15 0 2 0 0 36 48 69 0.75
+15 0 2 0 0 36 48 70 0.9
+15 0 2 0 0 36 48 71 1.05
+15 0 2 0 0 36 48 72 1.2
+15 0 2 0 0 36 48 73 1.35
+15 0 2 0 0 36 48 74 1.5
+15 0 2 0 0 36 48 75 1.65
+15 0 2 0 0 36 48 76 1.8
+15 0 2 0 0 36 48 77 1.95
+15 0 2 0 0 36 48 78 2.1
+15 0 2 0 0 36 48 79 2.25
+15 0 2 0 0 36 48 80 2.4
+15 0 2 0 0 36 48 81 2.55
+15 0 2 0 0 36 48 82 2.7
+15 0 2 0 0 36 48 83 2.85
+15 0 2 0 0 36 48 84 3
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 -1.95
+16 0 2 0 0 36 48 52 -1.8
+16 0 2 0 0 36 48 53 -1.65
+16 0 2 0 0 36 48 54 -1.5
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+16 0 2 0 0 36 48 58 -0.9
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+16 0 2 0 0 36 48 68 0.6
+16 0 2 0 0 36 48 69 0.75
+16 0 2 0 0 36 48 70 0.9
+16 0 2 0 0 36 48 71 1.05
+16 0 2 0 0 36 48 72 1.2
+16 0 2 0 0 36 48 73 1.35
+16 0 2 0 0 36 48 74 1.5
+16 0 2 0 0 36 48 75 1.65
+16 0 2 0 0 36 48 76 1.8
+16 0 2 0 0 36 48 77 1.95
+16 0 2 0 0 36 48 78 2.1
+16 0 2 0 0 36 48 79 2.25
+16 0 2 0 0 36 48 80 2.4
+16 0 2 0 0 36 48 81 2.55
+16 0 2 0 0 36 48 82 2.7
+16 0 2 0 0 36 48 83 2.85
+16 0 2 0 0 36 48 84 3
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 -4.5
+16 0 1 0 0 36 48 36 -4.2
+16 0 1 0 0 36 48 38 -3.9
+16 0 1 0 0 36 48 40 -3.6
+16 0 1 0 0 36 48 42 -3.3
+16 0 1 0 0 36 48 44 -3
+16 0 1 0 0 36 48 46 -2.7
+16 0 1 0 0 36 48 48 -2.4
+16 0 1 0 0 36 48 50 -2.1
+16 0 1 0 0 36 48 52 -1.8
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+16 0 1 0 0 36 48 58 -0.9
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+16 0 1 0 0 36 48 62 -0.3
+16 0 1 0 0 36 48 64 0
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+16 0 1 0 0 36 48 68 0.6
+16 0 1 0 0 36 48 70 0.9
+16 0 1 0 0 36 48 72 1.2
+16 0 1 0 0 36 48 74 1.5
+16 0 1 0 0 36 48 76 1.8
+16 0 1 0 0 36 48 78 2.1
+16 0 1 0 0 36 48 80 2.4
+16 0 1 0 0 36 48 82 2.7
+16 0 1 0 0 36 48 84 3
+16 0 1 0 0 36 48 86 3.3
+16 0 1 0 0 36 48 88 3.6
+16 0 1 0 0 36 48 90 3.9
+16 0 1 0 0 36 48 92 4.2
+16 0 1 0 0 36 48 94 4.5
+16 0 1 0 0 36 48 96 4.8
+16 0 1 0 0 36 48 98 5.1
+16 0 1 0 0 36 48 100 5.4
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 -9.6
+16 0 0 0 0 36 48 4 -9
+16 0 0 0 0 36 48 8 -8.4
+16 0 0 0 0 36 48 12 -7.8
+16 0 0 0 0 36 48 16 -7.2
+16 0 0 0 0 36 48 20 -6.6
+16 0 0 0 0 36 48 24 -6
+16 0 0 0 0 36 48 28 -5.4
+16 0 0 0 0 36 48 32 -4.8
+16 0 0 0 0 36 48 36 -4.2
+16 0 0 0 0 36 48 40 -3.6
+16 0 0 0 0 36 48 44 -3
+16 0 0 0 0 36 48 48 -2.4
+16 0 0 0 0 36 48 52 -1.8
+16 0 0 0 0 36 48 56 -1.2
+16 0 0 0 0 36 48 60 -0.6
+16 0 0 0 0 36 48 64 0
+16 0 0 0 0 36 48 68 0.6
+16 0 0 0 0 36 48 72 1.2
+16 0 0 0 0 36 48 76 1.8
+16 0 0 0 0 36 48 80 2.4
+16 0 0 0 0 36 48 84 3
+16 0 0 0 0 36 48 88 3.6
+16 0 0 0 0 36 48 92 4.2
+16 0 0 0 0 36 48 96 4.8
+16 0 0 0 0 36 48 100 5.4
+16 0 0 0 0 36 48 104 6
+16 0 0 0 0 36 48 108 6.6
+16 0 0 0 0 36 48 112 7.2
+16 0 0 0 0 36 48 116 7.8
+16 0 0 0 0 36 48 120 8.4
+16 0 0 0 0 36 48 124 9
+16 0 0 0 0 36 48 128 9.6
+16 0 0 0 0 36 48 132 10.2
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 -1.95
+17 0 2 0 0 36 48 52 -1.8
+17 0 2 0 0 36 48 53 -1.65
+17 0 2 0 0 36 48 54 -1.5
+17 0 2 0 0 36 48 55 -1.35
+17 0 2 0 0 36 48 56 -1.2
+17 0 2 0 0 36 48 57 -1.05
+17 0 2 0 0 36 48 58 -0.9
+17 0 2 0 0 36 48 59 -0.75
+17 0 2 0 0 36 48 60 -0.6
+17 0 2 0 0 36 48 61 -0.45
+17 0 2 0 0 36 48 62 -0.3
+17 0 2 0 0 36 48 63 -0.15
+17 0 2 0 0 36 48 64 0
+17 0 2 0 0 36 48 65 0.15
+17 0 2 0 0 36 48 66 0.3
+17 0 2 0 0 36 48 67 0.45
+17 0 2 0 0 36 48 68 0.6
+17 0 2 0 0 36 48 69 0.75
+17 0 2 0 0 36 48 70 0.9
+17 0 2 0 0 36 48 71 1.05
+17 0 2 0 0 36 48 72 1.2
+17 0 2 0 0 36 48 73 1.35
+17 0 2 0 0 36 48 74 1.5
+17 0 2 0 0 36 48 75 1.65
+17 0 2 0 0 36 48 76 1.8
+17 0 2 0 0 36 48 77 1.95
+17 0 2 0 0 36 48 78 2.1
+17 0 2 0 0 36 48 79 2.25
+17 0 2 0 0 36 48 80 2.4
+17 0 2 0 0 36 48 81 2.55
+17 0 2 0 0 36 48 82 2.7
+17 0 2 0 0 36 48 83 2.85
+17 0 2 0 0 36 48 84 3
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 -1.95
+18 0 2 0 0 36 48 52 -1.8
+18 0 2 0 0 36 48 53 -1.65
+18 0 2 0 0 36 48 54 -1.5
+18 0 2 0 0 36 48 55 -1.35
+18 0 2 0 0 36 48 56 -1.2
+18 0 2 0 0 36 48 57 -1.05
+18 0 2 0 0 36 48 58 -0.9
+18 0 2 0 0 36 48 59 -0.75
+18 0 2 0 0 36 48 60 -0.6
+18 0 2 0 0 36 48 61 -0.45
+18 0 2 0 0 36 48 62 -0.3
+18 0 2 0 0 36 48 63 -0.15
+18 0 2 0 0 36 48 64 0
+18 0 2 0 0 36 48 65 0.15
+18 0 2 0 0 36 48 66 0.3
+18 0 2 0 0 36 48 67 0.45
+18 0 2 0 0 36 48 68 0.6
+18 0 2 0 0 36 48 69 0.75
+18 0 2 0 0 36 48 70 0.9
+18 0 2 0 0 36 48 71 1.05
+18 0 2 0 0 36 48 72 1.2
+18 0 2 0 0 36 48 73 1.35
+18 0 2 0 0 36 48 74 1.5
+18 0 2 0 0 36 48 75 1.65
+18 0 2 0 0 36 48 76 1.8
+18 0 2 0 0 36 48 77 1.95
+18 0 2 0 0 36 48 78 2.1
+18 0 2 0 0 36 48 79 2.25
+18 0 2 0 0 36 48 80 2.4
+18 0 2 0 0 36 48 81 2.55
+18 0 2 0 0 36 48 82 2.7
+18 0 2 0 0 36 48 83 2.85
+18 0 2 0 0 36 48 84 3
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 -4.5
+18 0 1 0 0 36 48 36 -4.2
+18 0 1 0 0 36 48 38 -3.9
+18 0 1 0 0 36 48 40 -3.6
+18 0 1 0 0 36 48 42 -3.3
+18 0 1 0 0 36 48 44 -3
+18 0 1 0 0 36 48 46 -2.7
+18 0 1 0 0 36 48 48 -2.4
+18 0 1 0 0 36 48 50 -2.1
+18 0 1 0 0 36 48 52 -1.8
+18 0 1 0 0 36 48 54 -1.5
+18 0 1 0 0 36 48 56 -1.2
+18 0 1 0 0 36 48 58 -0.9
+18 0 1 0 0 36 48 60 -0.6
+18 0 1 0 0 36 48 62 -0.3
+18 0 1 0 0 36 48 64 0
+18 0 1 0 0 36 48 66 0.3
+18 0 1 0 0 36 48 68 0.6
+18 0 1 0 0 36 48 70 0.9
+18 0 1 0 0 36 48 72 1.2
+18 0 1 0 0 36 48 74 1.5
+18 0 1 0 0 36 48 76 1.8
+18 0 1 0 0 36 48 78 2.1
+18 0 1 0 0 36 48 80 2.4
+18 0 1 0 0 36 48 82 2.7
+18 0 1 0 0 36 48 84 3
+18 0 1 0 0 36 48 86 3.3
+18 0 1 0 0 36 48 88 3.6
+18 0 1 0 0 36 48 90 3.9
+18 0 1 0 0 36 48 92 4.2
+18 0 1 0 0 36 48 94 4.5
+18 0 1 0 0 36 48 96 4.8
+18 0 1 0 0 36 48 98 5.1
+18 0 1 0 0 36 48 100 5.4
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 -1.95
+19 0 2 0 0 36 48 52 -1.8
+19 0 2 0 0 36 48 53 -1.65
+19 0 2 0 0 36 48 54 -1.5
+19 0 2 0 0 36 48 55 -1.35
+19 0 2 0 0 36 48 56 -1.2
+19 0 2 0 0 36 48 57 -1.05
+19 0 2 0 0 36 48 58 -0.9
+19 0 2 0 0 36 48 59 -0.75
+19 0 2 0 0 36 48 60 -0.6
+19 0 2 0 0 36 48 61 -0.45
+19 0 2 0 0 36 48 62 -0.3
+19 0 2 0 0 36 48 63 -0.15
+19 0 2 0 0 36 48 64 0
+19 0 2 0 0 36 48 65 0.15
+19 0 2 0 0 36 48 66 0.3
+19 0 2 0 0 36 48 67 0.45
+19 0 2 0 0 36 48 68 0.6
+19 0 2 0 0 36 48 69 0.75
+19 0 2 0 0 36 48 70 0.9
+19 0 2 0 0 36 48 71 1.05
+19 0 2 0 0 36 48 72 1.2
+19 0 2 0 0 36 48 73 1.35
+19 0 2 0 0 36 48 74 1.5
+19 0 2 0 0 36 48 75 1.65
+19 0 2 0 0 36 48 76 1.8
+19 0 2 0 0 36 48 77 1.95
+19 0 2 0 0 36 48 78 2.1
+19 0 2 0 0 36 48 79 2.25
+19 0 2 0 0 36 48 80 2.4
+19 0 2 0 0 36 48 81 2.55
+19 0 2 0 0 36 48 82 2.7
+19 0 2 0 0 36 48 83 2.85
+19 0 2 0 0 36 48 84 3
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 -1.95
+20 0 2 0 0 36 48 52 -1.8
+20 0 2 0 0 36 48 53 -1.65
+20 0 2 0 0 36 48 54 -1.5
+20 0 2 0 0 36 48 55 -1.35
+20 0 2 0 0 36 48 56 -1.2
+20 0 2 0 0 36 48 57 -1.05
+20 0 2 0 0 36 48 58 -0.9
+20 0 2 0 0 36 48 59 -0.75
+20 0 2 0 0 36 48 60 -0.6
+20 0 2 0 0 36 48 61 -0.45
+20 0 2 0 0 36 48 62 -0.3
+20 0 2 0 0 36 48 63 -0.15
+20 0 2 0 0 36 48 64 0
+20 0 2 0 0 36 48 65 0.15
+20 0 2 0 0 36 48 66 0.3
+20 0 2 0 0 36 48 67 0.45
+20 0 2 0 0 36 48 68 0.6
+20 0 2 0 0 36 48 69 0.75
+20 0 2 0 0 36 48 70 0.9
+20 0 2 0 0 36 48 71 1.05
+20 0 2 0 0 36 48 72 1.2
+20 0 2 0 0 36 48 73 1.35
+20 0 2 0 0 36 48 74 1.5
+20 0 2 0 0 36 48 75 1.65
+20 0 2 0 0 36 48 76 1.8
+20 0 2 0 0 36 48 77 1.95
+20 0 2 0 0 36 48 78 2.1
+20 0 2 0 0 36 48 79 2.25
+20 0 2 0 0 36 48 80 2.4
+20 0 2 0 0 36 48 81 2.55
+20 0 2 0 0 36 48 82 2.7
+20 0 2 0 0 36 48 83 2.85
+20 0 2 0 0 36 48 84 3
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 -4.5
+20 0 1 0 0 36 48 36 -4.2
+20 0 1 0 0 36 48 38 -3.9
+20 0 1 0 0 36 48 40 -3.6
+20 0 1 0 0 36 48 42 -3.3
+20 0 1 0 0 36 48 44 -3
+20 0 1 0 0 36 48 46 -2.7
+20 0 1 0 0 36 48 48 -2.4
+20 0 1 0 0 36 48 50 -2.1
+20 0 1 0 0 36 48 52 -1.8
+20 0 1 0 0 36 48 54 -1.5
+20 0 1 0 0 36 48 56 -1.2
+20 0 1 0 0 36 48 58 -0.9
+20 0 1 0 0 36 48 60 -0.6
+20 0 1 0 0 36 48 62 -0.3
+20 0 1 0 0 36 48 64 0
+20 0 1 0 0 36 48 66 0.3
+20 0 1 0 0 36 48 68 0.6
+20 0 1 0 0 36 48 70 0.9
+20 0 1 0 0 36 48 72 1.2
+20 0 1 0 0 36 48 74 1.5
+20 0 1 0 0 36 48 76 1.8
+20 0 1 0 0 36 48 78 2.1
+20 0 1 0 0 36 48 80 2.4
+20 0 1 0 0 36 48 82 2.7
+20 0 1 0 0 36 48 84 3
+20 0 1 0 0 36 48 86 3.3
+20 0 1 0 0 36 48 88 3.6
+20 0 1 0 0 36 48 90 3.9
+20 0 1 0 0 36 48 92 4.2
+20 0 1 0 0 36 48 94 4.5
+20 0 1 0 0 36 48 96 4.8
+20 0 1 0 0 36 48 98 5.1
+20 0 1 0 0 36 48 100 5.4
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 -9.6
+20 0 0 0 0 36 48 4 -9
+20 0 0 0 0 36 48 8 -8.4
+20 0 0 0 0 36 48 12 -7.8
+20 0 0 0 0 36 48 16 -7.2
+20 0 0 0 0 36 48 20 -6.6
+20 0 0 0 0 36 48 24 -6
+20 0 0 0 0 36 48 28 -5.4
+20 0 0 0 0 36 48 32 -4.8
+20 0 0 0 0 36 48 36 -4.2
+20 0 0 0 0 36 48 40 -3.6
+20 0 0 0 0 36 48 44 -3
+20 0 0 0 0 36 48 48 -2.4
+20 0 0 0 0 36 48 52 -1.8
+20 0 0 0 0 36 48 56 -1.2
+20 0 0 0 0 36 48 60 -0.6
+20 0 0 0 0 36 48 64 0
+20 0 0 0 0 36 48 68 0.6
+20 0 0 0 0 36 48 72 1.2
+20 0 0 0 0 36 48 76 1.8
+20 0 0 0 0 36 48 80 2.4
+20 0 0 0 0 36 48 84 3
+20 0 0 0 0 36 48 88 3.6
+20 0 0 0 0 36 48 92 4.2
+20 0 0 0 0 36 48 96 4.8
+20 0 0 0 0 36 48 100 5.4
+20 0 0 0 0 36 48 104 6
+20 0 0 0 0 36 48 108 6.6
+20 0 0 0 0 36 48 112 7.2
+20 0 0 0 0 36 48 116 7.8
+20 0 0 0 0 36 48 120 8.4
+20 0 0 0 0 36 48 124 9
+20 0 0 0 0 36 48 128 9.6
+20 0 0 0 0 36 48 132 10.2
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 -1.95
+21 0 2 0 0 36 48 52 -1.8
+21 0 2 0 0 36 48 53 -1.65
+21 0 2 0 0 36 48 54 -1.5
+21 0 2 0 0 36 48 55 -1.35
+21 0 2 0 0 36 48 56 -1.2
+21 0 2 0 0 36 48 57 -1.05
+21 0 2 0 0 36 48 58 -0.9
+21 0 2 0 0 36 48 59 -0.75
+21 0 2 0 0 36 48 60 -0.6
+21 0 2 0 0 36 48 61 -0.45
+21 0 2 0 0 36 48 62 -0.3
+21 0 2 0 0 36 48 63 -0.15
+21 0 2 0 0 36 48 64 0
+21 0 2 0 0 36 48 65 0.15
+21 0 2 0 0 36 48 66 0.3
+21 0 2 0 0 36 48 67 0.45
+21 0 2 0 0 36 48 68 0.6
+21 0 2 0 0 36 48 69 0.75
+21 0 2 0 0 36 48 70 0.9
+21 0 2 0 0 36 48 71 1.05
+21 0 2 0 0 36 48 72 1.2
+21 0 2 0 0 36 48 73 1.35
+21 0 2 0 0 36 48 74 1.5
+21 0 2 0 0 36 48 75 1.65
+21 0 2 0 0 36 48 76 1.8
+21 0 2 0 0 36 48 77 1.95
+21 0 2 0 0 36 48 78 2.1
+21 0 2 0 0 36 48 79 2.25
+21 0 2 0 0 36 48 80 2.4
+21 0 2 0 0 36 48 81 2.55
+21 0 2 0 0 36 48 82 2.7
+21 0 2 0 0 36 48 83 2.85
+21 0 2 0 0 36 48 84 3
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 -1.95
+22 0 2 0 0 36 48 52 -1.8
+22 0 2 0 0 36 48 53 -1.65
+22 0 2 0 0 36 48 54 -1.5
+22 0 2 0 0 36 48 55 -1.35
+22 0 2 0 0 36 48 56 -1.2
+22 0 2 0 0 36 48 57 -1.05
+22 0 2 0 0 36 48 58 -0.9
+22 0 2 0 0 36 48 59 -0.75
+22 0 2 0 0 36 48 60 -0.6
+22 0 2 0 0 36 48 61 -0.45
+22 0 2 0 0 36 48 62 -0.3
+22 0 2 0 0 36 48 63 -0.15
+22 0 2 0 0 36 48 64 0
+22 0 2 0 0 36 48 65 0.15
+22 0 2 0 0 36 48 66 0.3
+22 0 2 0 0 36 48 67 0.45
+22 0 2 0 0 36 48 68 0.6
+22 0 2 0 0 36 48 69 0.75
+22 0 2 0 0 36 48 70 0.9
+22 0 2 0 0 36 48 71 1.05
+22 0 2 0 0 36 48 72 1.2
+22 0 2 0 0 36 48 73 1.35
+22 0 2 0 0 36 48 74 1.5
+22 0 2 0 0 36 48 75 1.65
+22 0 2 0 0 36 48 76 1.8
+22 0 2 0 0 36 48 77 1.95
+22 0 2 0 0 36 48 78 2.1
+22 0 2 0 0 36 48 79 2.25
+22 0 2 0 0 36 48 80 2.4
+22 0 2 0 0 36 48 81 2.55
+22 0 2 0 0 36 48 82 2.7
+22 0 2 0 0 36 48 83 2.85
+22 0 2 0 0 36 48 84 3
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 -4.5
+22 0 1 0 0 36 48 36 -4.2
+22 0 1 0 0 36 48 38 -3.9
+22 0 1 0 0 36 48 40 -3.6
+22 0 1 0 0 36 48 42 -3.3
+22 0 1 0 0 36 48 44 -3
+22 0 1 0 0 36 48 46 -2.7
+22 0 1 0 0 36 48 48 -2.4
+22 0 1 0 0 36 48 50 -2.1
+22 0 1 0 0 36 48 52 -1.8
+22 0 1 0 0 36 48 54 -1.5
+22 0 1 0 0 36 48 56 -1.2
+22 0 1 0 0 36 48 58 -0.9
+22 0 1 0 0 36 48 60 -0.6
+22 0 1 0 0 36 48 62 -0.3
+22 0 1 0 0 36 48 64 0
+22 0 1 0 0 36 48 66 0.3
+22 0 1 0 0 36 48 68 0.6
+22 0 1 0 0 36 48 70 0.9
+22 0 1 0 0 36 48 72 1.2
+22 0 1 0 0 36 48 74 1.5
+22 0 1 0 0 36 48 76 1.8
+22 0 1 0 0 36 48 78 2.1
+22 0 1 0 0 36 48 80 2.4
+22 0 1 0 0 36 48 82 2.7
+22 0 1 0 0 36 48 84 3
+22 0 1 0 0 36 48 86 3.3
+22 0 1 0 0 36 48 88 3.6
+22 0 1 0 0 36 48 90 3.9
+22 0 1 0 0 36 48 92 4.2
+22 0 1 0 0 36 48 94 4.5
+22 0 1 0 0 36 48 96 4.8
+22 0 1 0 0 36 48 98 5.1
+22 0 1 0 0 36 48 100 5.4
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 -1.95
+23 0 2 0 0 36 48 52 -1.8
+23 0 2 0 0 36 48 53 -1.65
+23 0 2 0 0 36 48 54 -1.5
+23 0 2 0 0 36 48 55 -1.35
+23 0 2 0 0 36 48 56 -1.2
+23 0 2 0 0 36 48 57 -1.05
+23 0 2 0 0 36 48 58 -0.9
+23 0 2 0 0 36 48 59 -0.75
+23 0 2 0 0 36 48 60 -0.6
+23 0 2 0 0 36 48 61 -0.45
+23 0 2 0 0 36 48 62 -0.3
+23 0 2 0 0 36 48 63 -0.15
+23 0 2 0 0 36 48 64 0
+23 0 2 0 0 36 48 65 0.15
+23 0 2 0 0 36 48 66 0.3
+23 0 2 0 0 36 48 67 0.45
+23 0 2 0 0 36 48 68 0.6
+23 0 2 0 0 36 48 69 0.75
+23 0 2 0 0 36 48 70 0.9
+23 0 2 0 0 36 48 71 1.05
+23 0 2 0 0 36 48 72 1.2
+23 0 2 0 0 36 48 73 1.35
+23 0 2 0 0 36 48 74 1.5
+23 0 2 0 0 36 48 75 1.65
+23 0 2 0 0 36 48 76 1.8
+23 0 2 0 0 36 48 77 1.95
+23 0 2 0 0 36 48 78 2.1
+23 0 2 0 0 36 48 79 2.25
+23 0 2 0 0 36 48 80 2.4
+23 0 2 0 0 36 48 81 2.55
+23 0 2 0 0 36 48 82 2.7
+23 0 2 0 0 36 48 83 2.85
+23 0 2 0 0 36 48 84 3
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 -1.95
+24 0 2 0 0 36 48 52 -1.8
+24 0 2 0 0 36 48 53 -1.65
+24 0 2 0 0 36 48 54 -1.5
+24 0 2 0 0 36 48 55 -1.35
+24 0 2 0 0 36 48 56 -1.2
+24 0 2 0 0 36 48 57 -1.05
+24 0 2 0 0 36 48 58 -0.9
+24 0 2 0 0 36 48 59 -0.75
+24 0 2 0 0 36 48 60 -0.6
+24 0 2 0 0 36 48 61 -0.45
+24 0 2 0 0 36 48 62 -0.3
+24 0 2 0 0 36 48 63 -0.15
+24 0 2 0 0 36 48 64 0
+24 0 2 0 0 36 48 65 0.15
+24 0 2 0 0 36 48 66 0.3
+24 0 2 0 0 36 48 67 0.45
+24 0 2 0 0 36 48 68 0.6
+24 0 2 0 0 36 48 69 0.75
+24 0 2 0 0 36 48 70 0.9
+24 0 2 0 0 36 48 71 1.05
+24 0 2 0 0 36 48 72 1.2
+24 0 2 0 0 36 48 73 1.35
+24 0 2 0 0 36 48 74 1.5
+24 0 2 0 0 36 48 75 1.65
+24 0 2 0 0 36 48 76 1.8
+24 0 2 0 0 36 48 77 1.95
+24 0 2 0 0 36 48 78 2.1
+24 0 2 0 0 36 48 79 2.25
+24 0 2 0 0 36 48 80 2.4
+24 0 2 0 0 36 48 81 2.55
+24 0 2 0 0 36 48 82 2.7
+24 0 2 0 0 36 48 83 2.85
+24 0 2 0 0 36 48 84 3
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 -4.5
+24 0 1 0 0 36 48 36 -4.2
+24 0 1 0 0 36 48 38 -3.9
+24 0 1 0 0 36 48 40 -3.6
+24 0 1 0 0 36 48 42 -3.3
+24 0 1 0 0 36 48 44 -3
+24 0 1 0 0 36 48 46 -2.7
+24 0 1 0 0 36 48 48 -2.4
+24 0 1 0 0 36 48 50 -2.1
+24 0 1 0 0 36 48 52 -1.8
+24 0 1 0 0 36 48 54 -1.5
+24 0 1 0 0 36 48 56 -1.2
+24 0 1 0 0 36 48 58 -0.9
+24 0 1 0 0 36 48 60 -0.6
+24 0 1 0 0 36 48 62 -0.3
+24 0 1 0 0 36 48 64 0
+24 0 1 0 0 36 48 66 0.3
+24 0 1 0 0 36 48 68 0.6
+24 0 1 0 0 36 48 70 0.9
+24 0 1 0 0 36 48 72 1.2
+24 0 1 0 0 36 48 74 1.5
+24 0 1 0 0 36 48 76 1.8
+24 0 1 0 0 36 48 78 2.1
+24 0 1 0 0 36 48 80 2.4
+24 0 1 0 0 36 48 82 2.7
+24 0 1 0 0 36 48 84 3
+24 0 1 0 0 36 48 86 3.3
+24 0 1 0 0 36 48 88 3.6
+24 0 1 0 0 36 48 90 3.9
+24 0 1 0 0 36 48 92 4.2
+24 0 1 0 0 36 48 94 4.5
+24 0 1 0 0 36 48 96 4.8
+24 0 1 0 0 36 48 98 5.1
+24 0 1 0 0 36 48 100 5.4
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 -9.6
+24 0 0 0 0 36 48 4 -9
+24 0 0 0 0 36 48 8 -8.4
+24 0 0 0 0 36 48 12 -7.8
+24 0 0 0 0 36 48 16 -7.2
+24 0 0 0 0 36 48 20 -6.6
+24 0 0 0 0 36 48 24 -6
+24 0 0 0 0 36 48 28 -5.4
+24 0 0 0 0 36 48 32 -4.8
+24 0 0 0 0 36 48 36 -4.2
+24 0 0 0 0 36 48 40 -3.6
+24 0 0 0 0 36 48 44 -3
+24 0 0 0 0 36 48 48 -2.4
+24 0 0 0 0 36 48 52 -1.8
+24 0 0 0 0 36 48 56 -1.2
+24 0 0 0 0 36 48 60 -0.6
+24 0 0 0 0 36 48 64 0
+24 0 0 0 0 36 48 68 0.6
+24 0 0 0 0 36 48 72 1.2
+24 0 0 0 0 36 48 76 1.8
+24 0 0 0 0 36 48 80 2.4
+24 0 0 0 0 36 48 84 3
+24 0 0 0 0 36 48 88 3.6
+24 0 0 0 0 36 48 92 4.2
+24 0 0 0 0 36 48 96 4.8
+24 0 0 0 0 36 48 100 5.4
+24 0 0 0 0 36 48 104 6
+24 0 0 0 0 36 48 108 6.6
+24 0 0 0 0 36 48 112 7.2
+24 0 0 0 0 36 48 116 7.8
+24 0 0 0 0 36 48 120 8.4
+24 0 0 0 0 36 48 124 9
+24 0 0 0 0 36 48 128 9.6
+24 0 0 0 0 36 48 132 10.2
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/phi.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/phi.xl
new file mode 100644
index 000000000..3421f682b
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/phi.xl
@@ -0,0 +1,1082 @@
+# WAVETOY::phi x (phi)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 0.587785252292474
+0 0 2 0 0 28 48 64 0.669130606358859
+0 0 2 0 0 29 48 64 0.743144825477395
+0 0 2 0 0 30 48 64 0.809016994374948
+0 0 2 0 0 31 48 64 0.866025403784439
+0 0 2 0 0 32 48 64 0.913545457642601
+0 0 2 0 0 33 48 64 0.951056516295154
+0 0 2 0 0 34 48 64 0.978147600733806
+0 0 2 0 0 35 48 64 0.994521895368273
+0 0 2 0 0 36 48 64 1
+0 0 2 0 0 37 48 64 0.994521895368273
+0 0 2 0 0 38 48 64 0.978147600733806
+0 0 2 0 0 39 48 64 0.951056516295154
+0 0 2 0 0 40 48 64 0.913545457642601
+0 0 2 0 0 41 48 64 0.866025403784439
+0 0 2 0 0 42 48 64 0.809016994374948
+0 0 2 0 0 43 48 64 0.743144825477395
+0 0 2 0 0 44 48 64 0.669130606358859
+0 0 2 0 0 45 48 64 0.587785252292474
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 -0.309016994374946
+0 0 1 0 0 20 48 64 -0.104528463267652
+0 0 1 0 0 22 48 64 0.104528463267655
+0 0 1 0 0 24 48 64 0.309016994374949
+0 0 1 0 0 26 48 64 0.500000000000001
+0 0 1 0 0 28 48 64 0.669130606358859
+0 0 1 0 0 30 48 64 0.809016994374948
+0 0 1 0 0 32 48 64 0.913545457642601
+0 0 1 0 0 34 48 64 0.978147600733806
+0 0 1 0 0 36 48 64 1
+0 0 1 0 0 38 48 64 0.978147600733806
+0 0 1 0 0 40 48 64 0.913545457642601
+0 0 1 0 0 42 48 64 0.809016994374948
+0 0 1 0 0 44 48 64 0.669130606358859
+0 0 1 0 0 46 48 64 0.500000000000001
+0 0 1 0 0 48 48 64 0.309016994374949
+0 0 1 0 0 50 48 64 0.104528463267655
+0 0 1 0 0 52 48 64 -0.104528463267652
+0 0 1 0 0 54 48 64 -0.309016994374946
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 -0.809016994374946
+0 0 0 0 0 4 48 64 -0.978147600733805
+0 0 0 0 0 8 48 64 -0.978147600733805
+0 0 0 0 0 12 48 64 -0.809016994374946
+0 0 0 0 0 16 48 64 -0.499999999999998
+0 0 0 0 0 20 48 64 -0.104528463267652
+0 0 0 0 0 24 48 64 0.309016994374949
+0 0 0 0 0 28 48 64 0.669130606358859
+0 0 0 0 0 32 48 64 0.913545457642601
+0 0 0 0 0 36 48 64 1
+0 0 0 0 0 40 48 64 0.913545457642601
+0 0 0 0 0 44 48 64 0.669130606358859
+0 0 0 0 0 48 48 64 0.309016994374949
+0 0 0 0 0 52 48 64 -0.104528463267652
+0 0 0 0 0 56 48 64 -0.499999999999998
+0 0 0 0 0 60 48 64 -0.809016994374946
+0 0 0 0 0 64 48 64 -0.978147600733805
+0 0 0 0 0 68 48 64 -0.978147600733805
+0 0 0 0 0 72 48 64 -0.809016994374946
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 0.651986283124357
+1 0 2 0 0 28 48 64 0.727696919278693
+1 0 2 0 0 29 48 64 0.795580288844449
+1 0 2 0 0 30 48 64 0.854550695040958
+1 0 2 0 0 31 48 64 0.904158464996369
+1 0 2 0 0 32 48 64 0.943860085601957
+1 0 2 0 0 33 48 64 0.973220577594268
+1 0 2 0 0 34 48 64 0.991918261278959
+1 0 2 0 0 35 48 64 0.999748280920836
+1 0 2 0 0 36 48 64 0.996624849186167
+1 0 2 0 0 37 48 64 0.982582187046657
+1 0 2 0 0 38 48 64 0.957774148847321
+1 0 2 0 0 39 48 64 0.922472536646089
+1 0 2 0 0 40 48 64 0.877064122293574
+1 0 2 0 0 41 48 64 0.822046409879743
+1 0 2 0 0 42 48 64 0.758022184974999
+1 0 2 0 0 43 48 64 0.685692910385329
+1 0 2 0 0 44 48 64 0.606066745749866
+1 0 2 0 0 45 48 64 0.519580791398301
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 0.71225492205664
+2 0 2 0 0 28 48 64 0.781756356809923
+2 0 2 0 0 29 48 64 0.842594851639418
+2 0 2 0 0 30 48 64 0.894314428971072
+2 0 2 0 0 31 48 64 0.936186605461897
+2 0 2 0 0 32 48 64 0.967801725593639
+2 0 2 0 0 33 48 64 0.988813407494246
+2 0 2 0 0 34 48 64 0.998991442779838
+2 0 2 0 0 35 48 64 0.998224318765934
+2 0 2 0 0 36 48 64 0.986520440223764
+2 0 2 0 0 37 48 64 0.964008037295827
+2 0 2 0 0 38 48 64 0.930933760579626
+2 0 2 0 0 39 48 64 0.887659978772102
+2 0 2 0 0 40 48 64 0.834660808482357
+2 0 2 0 0 41 48 64 0.772516919710877
+2 0 2 0 0 42 48 64 0.701909173907487
+2 0 2 0 0 43 48 64 0.623665090553541
+2 0 2 0 0 44 48 64 0.538496009752269
+2 0 2 0 0 45 48 64 0.447443938604528
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 -0.151261786279002
+2 0 1 0 0 20 48 64 0.0574322048464631
+2 0 1 0 0 22 48 64 0.265894777810503
+2 0 1 0 0 24 48 64 0.460517568676976
+2 0 1 0 0 26 48 64 0.635013531983796
+2 0 1 0 0 28 48 64 0.781756356809923
+2 0 1 0 0 30 48 64 0.894314428971072
+2 0 1 0 0 32 48 64 0.967801725593639
+2 0 1 0 0 34 48 64 0.998991442779838
+2 0 1 0 0 36 48 64 0.986520440223764
+2 0 1 0 0 38 48 64 0.930933760579626
+2 0 1 0 0 40 48 64 0.834660808482357
+2 0 1 0 0 42 48 64 0.701909173907487
+2 0 1 0 0 44 48 64 0.538496009752269
+2 0 1 0 0 46 48 64 0.35152956888143
+2 0 1 0 0 48 48 64 0.14919959902445
+2 0 1 0 0 50 48 64 -0.0596511092490056
+2 0 1 0 0 52 48 64 -0.263723767809526
+2 0 1 0 0 54 48 64 -0.458163317028104
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 0.767307607304658
+3 0 2 0 0 28 48 64 0.830169335619869
+3 0 2 0 0 29 48 64 0.883943408637969
+3 0 2 0 0 30 48 64 0.928027433349489
+3 0 2 0 0 31 48 64 0.961893569660818
+3 0 2 0 0 32 48 64 0.985208722531348
+3 0 2 0 0 33 48 64 0.997729722469646
+3 0 2 0 0 34 48 64 0.999319386780199
+3 0 2 0 0 35 48 64 0.989960298768162
+3 0 2 0 0 36 48 64 0.969754998560311
+3 0 2 0 0 37 48 64 0.938924859653953
+3 0 2 0 0 38 48 64 0.897807663502568
+3 0 2 0 0 39 48 64 0.846853898711516
+3 0 2 0 0 40 48 64 0.78662182539061
+3 0 2 0 0 41 48 64 0.717771358739525
+3 0 2 0 0 42 48 64 0.641070320439454
+3 0 2 0 0 43 48 64 0.557399135919544
+3 0 2 0 0 44 48 64 0.467736489993039
+3 0 2 0 0 45 48 64 0.372766557308265
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 0.817561108218824
+4 0 2 0 0 28 48 64 0.873315716819425
+4 0 2 0 0 29 48 64 0.9193143996785
+4 0 2 0 0 30 48 64 0.955460559296436
+4 0 2 0 0 31 48 64 0.981102713903631
+4 0 2 0 0 32 48 64 0.995963543547947
+4 0 2 0 0 33 48 64 0.999909319139776
+4 0 2 0 0 34 48 64 0.992899878986632
+4 0 2 0 0 35 48 64 0.975012019981653
+4 0 2 0 0 36 48 64 0.946441725251372
+4 0 2 0 0 37 48 64 0.907502016923574
+4 0 2 0 0 38 48 64 0.858619526591356
+4 0 2 0 0 39 48 64 0.800329821048115
+4 0 2 0 0 40 48 64 0.733271534505689
+4 0 2 0 0 41 48 64 0.658182741974455
+4 0 2 0 0 42 48 64 0.575915288283104
+4 0 2 0 0 43 48 64 0.487392750718956
+4 0 2 0 0 44 48 64 0.393348822596519
+4 0 2 0 0 45 48 64 0.295073587402285
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 0.0145114768391913
+4 0 1 0 0 20 48 64 0.222181380226812
+4 0 1 0 0 22 48 64 0.419542714680454
+4 0 1 0 0 24 48 64 0.599611026780361
+4 0 1 0 0 26 48 64 0.752918733656398
+4 0 1 0 0 28 48 64 0.873315716819425
+4 0 1 0 0 30 48 64 0.955460559296436
+4 0 1 0 0 32 48 64 0.995963543547947
+4 0 1 0 0 34 48 64 0.992899878986632
+4 0 1 0 0 36 48 64 0.946441725251372
+4 0 1 0 0 38 48 64 0.858619526591356
+4 0 1 0 0 40 48 64 0.733271534505689
+4 0 1 0 0 42 48 64 0.575915288283104
+4 0 1 0 0 44 48 64 0.393348822596519
+4 0 1 0 0 46 48 64 0.193588341196074
+4 0 1 0 0 48 48 64 -0.0146374839292919
+4 0 1 0 0 50 48 64 -0.221680828268263
+4 0 1 0 0 52 48 64 -0.420130565085166
+4 0 1 0 0 54 48 64 -0.599291584659013
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 -0.955842350449065
+4 0 0 0 0 4 48 64 -0.993315939157588
+4 0 0 0 0 8 48 64 -0.85903617799375
+4 0 0 0 0 12 48 64 -0.576221257556116
+4 0 0 0 0 16 48 64 -0.193772446881243
+4 0 0 0 0 20 48 64 0.222181380226812
+4 0 0 0 0 24 48 64 0.599611026780361
+4 0 0 0 0 28 48 64 0.873315716819425
+4 0 0 0 0 32 48 64 0.995963543547947
+4 0 0 0 0 36 48 64 0.946441725251372
+4 0 0 0 0 40 48 64 0.733271534505689
+4 0 0 0 0 44 48 64 0.393348822596519
+4 0 0 0 0 48 48 64 -0.0146374839292919
+4 0 0 0 0 52 48 64 -0.420130565085166
+4 0 0 0 0 56 48 64 -0.753094935792752
+4 0 0 0 0 60 48 64 -0.955842350449065
+4 0 0 0 0 64 48 64 -0.993315939157588
+4 0 0 0 0 68 48 64 -0.85903617799375
+4 0 0 0 0 72 48 64 -0.576221257556116
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 0.861957256615501
+5 0 2 0 0 28 48 64 0.910264295164363
+5 0 2 0 0 29 48 64 0.948528145875831
+5 0 2 0 0 30 48 64 0.976430857593686
+5 0 2 0 0 31 48 64 0.993679057391917
+5 0 2 0 0 32 48 64 0.99999280432029
+5 0 2 0 0 33 48 64 0.995337480764765
+5 0 2 0 0 34 48 64 0.979776264219571
+5 0 2 0 0 35 48 64 0.953480413892223
+5 0 2 0 0 36 48 64 0.916738032621668
+5 0 2 0 0 37 48 64 0.869951677625943
+5 0 2 0 0 38 48 64 0.813633950001056
+5 0 2 0 0 39 48 64 0.748401878556108
+5 0 2 0 0 40 48 64 0.674971002114079
+5 0 2 0 0 41 48 64 0.594157918325683
+5 0 2 0 0 42 48 64 0.506883392633762
+5 0 2 0 0 43 48 64 0.414047928132598
+5 0 2 0 0 44 48 64 0.31680091391282
+5 0 2 0 0 45 48 64 0.215901403702477
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 0.900841563313456
+6 0 2 0 0 28 48 64 0.941325472402761
+6 0 2 0 0 29 48 64 0.97134392288253
+6 0 2 0 0 30 48 64 0.990817761442973
+6 0 2 0 0 31 48 64 0.999533361680399
+6 0 2 0 0 32 48 64 0.997266754032676
+6 0 2 0 0 33 48 64 0.984044884798029
+6 0 2 0 0 34 48 64 0.960037153747021
+6 0 2 0 0 35 48 64 0.925510862923207
+6 0 2 0 0 36 48 64 0.880844481409608
+6 0 2 0 0 37 48 64 0.826527383429127
+6 0 2 0 0 38 48 64 0.763154678473821
+6 0 2 0 0 39 48 64 0.691420901810159
+6 0 2 0 0 40 48 64 0.612116198238508
+6 0 2 0 0 41 48 64 0.526132765595017
+6 0 2 0 0 42 48 64 0.434426585729952
+6 0 2 0 0 43 48 64 0.337940115347408
+6 0 2 0 0 44 48 64 0.237603461825239
+6 0 2 0 0 45 48 64 0.134740856041901
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 0.175589556373458
+6 0 1 0 0 20 48 64 0.376635566938486
+6 0 1 0 0 22 48 64 0.562142124741235
+6 0 1 0 0 24 48 64 0.722411275954512
+6 0 1 0 0 26 48 64 0.850537900464592
+6 0 1 0 0 28 48 64 0.941325472402761
+6 0 1 0 0 30 48 64 0.990817761442973
+6 0 1 0 0 32 48 64 0.997266754032676
+6 0 1 0 0 34 48 64 0.960037153747021
+6 0 1 0 0 36 48 64 0.880844481409608
+6 0 1 0 0 38 48 64 0.763154678473821
+6 0 1 0 0 40 48 64 0.612116198238508
+6 0 1 0 0 42 48 64 0.434426585729952
+6 0 1 0 0 44 48 64 0.237603461825239
+6 0 1 0 0 46 48 64 0.03043036762592
+6 0 1 0 0 48 48 64 -0.177944520374452
+6 0 1 0 0 50 48 64 -0.377983838557152
+6 0 1 0 0 52 48 64 -0.561130717710635
+6 0 1 0 0 54 48 64 -0.720553105324032
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 0.933370584607612
+7 0 2 0 0 28 48 64 0.96580550065546
+7 0 2 0 0 29 48 64 0.987623307202079
+7 0 2 0 0 30 48 64 0.998540337817113
+7 0 2 0 0 31 48 64 0.998630543724359
+7 0 2 0 0 32 48 64 0.987799623894873
+7 0 2 0 0 33 48 64 0.96610683683805
+7 0 2 0 0 34 48 64 0.933815779023161
+7 0 2 0 0 35 48 64 0.891292218806452
+7 0 2 0 0 36 48 64 0.839003426571696
+7 0 2 0 0 37 48 64 0.777522337222666
+7 0 2 0 0 38 48 64 0.707522603102361
+7 0 2 0 0 39 48 64 0.629772508612056
+7 0 2 0 0 40 48 64 0.545135106632507
+7 0 2 0 0 41 48 64 0.454565351822513
+7 0 2 0 0 42 48 64 0.359033236682489
+7 0 2 0 0 43 48 64 0.259514233114236
+7 0 2 0 0 44 48 64 0.15733347178192
+7 0 2 0 0 45 48 64 0.0532169187191826
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 0.959817195573497
+8 0 2 0 0 28 48 64 0.983935629215511
+8 0 2 0 0 29 48 64 0.99720823789451
+8 0 2 0 0 30 48 64 0.999550443335868
+8 0 2 0 0 31 48 64 0.990990802680847
+8 0 2 0 0 32 48 64 0.971652833293203
+8 0 2 0 0 33 48 64 0.941642170105081
+8 0 2 0 0 34 48 64 0.901288875805149
+8 0 2 0 0 35 48 64 0.851055515458006
+8 0 2 0 0 36 48 64 0.791497380890392
+8 0 2 0 0 37 48 64 0.723267436563375
+8 0 2 0 0 38 48 64 0.6471136489382
+8 0 2 0 0 39 48 64 0.563874959990471
+8 0 2 0 0 40 48 64 0.474483217914216
+8 0 2 0 0 41 48 64 0.379934116083793
+8 0 2 0 0 42 48 64 0.281203971416049
+8 0 2 0 0 43 48 64 0.179379182530309
+8 0 2 0 0 44 48 64 0.0754652753001492
+8 0 2 0 0 45 48 64 -0.0292085860915556
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 0.336270067939135
+8 0 1 0 0 20 48 64 0.52515593029312
+8 0 1 0 0 22 48 64 0.689402564635564
+8 0 1 0 0 24 48 64 0.825604607602217
+8 0 1 0 0 26 48 64 0.925200532507642
+8 0 1 0 0 28 48 64 0.983935629215511
+8 0 1 0 0 30 48 64 0.999550443335868
+8 0 1 0 0 32 48 64 0.971652833293203
+8 0 1 0 0 34 48 64 0.901288875805149
+8 0 1 0 0 36 48 64 0.791497380890392
+8 0 1 0 0 38 48 64 0.6471136489382
+8 0 1 0 0 40 48 64 0.474483217914216
+8 0 1 0 0 42 48 64 0.281203971416049
+8 0 1 0 0 44 48 64 0.0754652753001492
+8 0 1 0 0 46 48 64 -0.133515411298819
+8 0 1 0 0 48 48 64 -0.336310802123628
+8 0 1 0 0 50 48 64 -0.523951477295099
+8 0 1 0 0 52 48 64 -0.69093027148058
+8 0 1 0 0 54 48 64 -0.825838658536408
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 -1.00067162789428
+8 0 0 0 0 4 48 64 -0.902489465166893
+8 0 0 0 0 8 48 64 -0.648258675052749
+8 0 0 0 0 12 48 64 -0.281938070776809
+8 0 0 0 0 16 48 64 0.133132187263405
+8 0 0 0 0 20 48 64 0.52515593029312
+8 0 0 0 0 24 48 64 0.825604607602217
+8 0 0 0 0 28 48 64 0.983935629215511
+8 0 0 0 0 32 48 64 0.971652833293203
+8 0 0 0 0 36 48 64 0.791497380890392
+8 0 0 0 0 40 48 64 0.474483217914216
+8 0 0 0 0 44 48 64 0.0754652753001492
+8 0 0 0 0 48 48 64 -0.336310802123628
+8 0 0 0 0 52 48 64 -0.69093027148058
+8 0 0 0 0 56 48 64 -0.925828575342397
+8 0 0 0 0 60 48 64 -1.00067162789428
+8 0 0 0 0 64 48 64 -0.902489465166893
+8 0 0 0 0 68 48 64 -0.648258675052749
+8 0 0 0 0 72 48 64 -0.281938070776809
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 0.979578561864818
+9 0 2 0 0 28 48 64 0.995288856090074
+9 0 2 0 0 29 48 64 1.00005182602333
+9 0 2 0 0 30 48 64 0.993821932733128
+9 0 2 0 0 31 48 64 0.976680815348984
+9 0 2 0 0 32 48 64 0.948938983440118
+9 0 2 0 0 33 48 64 0.910812980446777
+9 0 2 0 0 34 48 64 0.862675065780088
+9 0 2 0 0 35 48 64 0.805072332765559
+9 0 2 0 0 36 48 64 0.738647105626241
+9 0 2 0 0 37 48 64 0.664129103117187
+9 0 2 0 0 38 48 64 0.582336588637255
+9 0 2 0 0 39 48 64 0.494176285767189
+9 0 2 0 0 40 48 64 0.400638254454151
+9 0 2 0 0 41 48 64 0.302734000527384
+9 0 2 0 0 42 48 64 0.201471156237847
+9 0 2 0 0 43 48 64 0.0979995550789672
+9 0 2 0 0 44 48 64 -0.0063609842609093
+9 0 2 0 0 45 48 64 -0.110868199838997
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 0.992857808535074
+10 0 2 0 0 28 48 64 1.00000751527676
+10 0 2 0 0 29 48 64 0.996129256651982
+10 0 2 0 0 30 48 64 0.981373577928383
+10 0 2 0 0 31 48 64 0.955800526500838
+10 0 2 0 0 32 48 64 0.919821584450627
+10 0 2 0 0 33 48 64 0.8738258133816
+10 0 2 0 0 34 48 64 0.81823308925722
+10 0 2 0 0 35 48 64 0.753652738818976
+10 0 2 0 0 36 48 64 0.68080942364563
+10 0 2 0 0 37 48 64 0.600506966483679
+10 0 2 0 0 38 48 64 0.51363063752937
+10 0 2 0 0 39 48 64 0.421150161534315
+10 0 2 0 0 40 48 64 0.324094489497167
+10 0 2 0 0 41 48 64 0.223478688365322
+10 0 2 0 0 42 48 64 0.120374984828164
+10 0 2 0 0 43 48 64 0.0160046220827539
+10 0 2 0 0 44 48 64 -0.0886920213543103
+10 0 2 0 0 45 48 64 -0.192317517083417
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 0.483699451199534
+10 0 1 0 0 20 48 64 0.655556551525344
+10 0 1 0 0 22 48 64 0.798563076311065
+10 0 1 0 0 24 48 64 0.906416528692875
+10 0 1 0 0 26 48 64 0.974830047223197
+10 0 1 0 0 28 48 64 1.00000751527676
+10 0 1 0 0 30 48 64 0.981373577928383
+10 0 1 0 0 32 48 64 0.919821584450627
+10 0 1 0 0 34 48 64 0.81823308925722
+10 0 1 0 0 36 48 64 0.68080942364563
+10 0 1 0 0 38 48 64 0.51363063752937
+10 0 1 0 0 40 48 64 0.324094489497167
+10 0 1 0 0 42 48 64 0.120374984828164
+10 0 1 0 0 44 48 64 -0.0886920213543103
+10 0 1 0 0 46 48 64 -0.293774804163464
+10 0 1 0 0 48 48 64 -0.485484036065181
+10 0 1 0 0 50 48 64 -0.656299456694322
+10 0 1 0 0 52 48 64 -0.798658467070781
+10 0 1 0 0 54 48 64 -0.906090914092412
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 0.999309536816928
+11 0 2 0 0 28 48 64 0.997930134869056
+11 0 2 0 0 29 48 64 0.985486638077034
+11 0 2 0 0 30 48 64 0.962281146485549
+11 0 2 0 0 31 48 64 0.928480624503947
+11 0 2 0 0 32 48 64 0.884508359254784
+11 0 2 0 0 33 48 64 0.830932829949308
+11 0 2 0 0 34 48 64 0.768260507628198
+11 0 2 0 0 35 48 64 0.697142833187783
+11 0 2 0 0 36 48 64 0.618374727988662
+11 0 2 0 0 37 48 64 0.532831402360017
+11 0 2 0 0 38 48 64 0.441462390125116
+11 0 2 0 0 39 48 64 0.345290305756456
+11 0 2 0 0 40 48 64 0.245359804497466
+11 0 2 0 0 41 48 64 0.14270261659773
+11 0 2 0 0 42 48 64 0.0384790345944558
+11 0 2 0 0 43 48 64 -0.0661341699805327
+11 0 2 0 0 44 48 64 -0.16986430661964
+11 0 2 0 0 45 48 64 -0.271892792952065
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 0.999045903788893
+12 0 2 0 0 28 48 64 0.989110538835795
+12 0 2 0 0 29 48 64 0.968194437851411
+12 0 2 0 0 30 48 64 0.936679479594202
+12 0 2 0 0 31 48 64 0.894890231114719
+12 0 2 0 0 32 48 64 0.84324287716678
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+12 0 2 0 0 34 48 64 0.713093058583102
+12 0 2 0 0 35 48 64 0.635922152495971
+12 0 2 0 0 36 48 64 0.551764192374177
+12 0 2 0 0 37 48 64 0.461560754639696
+12 0 2 0 0 38 48 64 0.366321512567991
+12 0 2 0 0 39 48 64 0.267104853981121
+12 0 2 0 0 40 48 64 0.164957538720553
+12 0 2 0 0 41 48 64 0.0609617914238563
+12 0 2 0 0 42 48 64 -0.0436661618753471
+12 0 2 0 0 43 48 64 -0.14778539228233
+12 0 2 0 0 44 48 64 -0.250432349843703
+12 0 2 0 0 45 48 64 -0.350147242095981
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 0.622088776194298
+12 0 1 0 0 20 48 64 0.771899403556947
+12 0 1 0 0 22 48 64 0.886091005410861
+12 0 1 0 0 24 48 64 0.962837541659481
+12 0 1 0 0 26 48 64 0.998036130655377
+12 0 1 0 0 28 48 64 0.989110538835795
+12 0 1 0 0 30 48 64 0.936679479594202
+12 0 1 0 0 32 48 64 0.84324287716678
+12 0 1 0 0 34 48 64 0.713093058583102
+12 0 1 0 0 36 48 64 0.551764192374177
+12 0 1 0 0 38 48 64 0.366321512567991
+12 0 1 0 0 40 48 64 0.164957538720553
+12 0 1 0 0 42 48 64 -0.0436661618753471
+12 0 1 0 0 44 48 64 -0.250432349843703
+12 0 1 0 0 46 48 64 -0.445980436835417
+12 0 1 0 0 48 48 64 -0.621640239685846
+12 0 1 0 0 50 48 64 -0.770971533624352
+12 0 1 0 0 52 48 64 -0.887938890922644
+12 0 1 0 0 54 48 64 -0.964272990187883
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 -0.93872118168269
+12 0 0 0 0 4 48 64 -0.715360095193742
+12 0 0 0 0 8 48 64 -0.368306749403354
+12 0 0 0 0 12 48 64 0.0424301793206506
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+12 0 0 0 0 24 48 64 0.962837541659481
+12 0 0 0 0 28 48 64 0.989110538835795
+12 0 0 0 0 32 48 64 0.84324287716678
+12 0 0 0 0 36 48 64 0.551764192374177
+12 0 0 0 0 40 48 64 0.164957538720553
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+12 0 0 0 0 48 48 64 -0.621640239685846
+12 0 0 0 0 52 48 64 -0.887938890922644
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+12 0 0 0 0 60 48 64 -0.93872118168269
+12 0 0 0 0 64 48 64 -0.715360095193742
+12 0 0 0 0 68 48 64 -0.368306749403354
+12 0 0 0 0 72 48 64 0.0424301793206506
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 0.992007179459117
+13 0 2 0 0 28 48 64 0.973642003642891
+13 0 2 0 0 29 48 64 0.944360997803793
+13 0 2 0 0 30 48 64 0.904749838163387
+13 0 2 0 0 31 48 64 0.855244371076928
+13 0 2 0 0 32 48 64 0.796299764536667
+13 0 2 0 0 33 48 64 0.72865470031322
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+13 0 2 0 0 35 48 64 0.570401389699357
+13 0 2 0 0 36 48 64 0.481426805282371
+13 0 2 0 0 37 48 64 0.387177870153877
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+13 0 2 0 0 39 48 64 0.187113646562394
+13 0 2 0 0 40 48 64 0.0834302695446002
+13 0 2 0 0 41 48 64 -0.0211798980162322
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+13 0 2 0 0 43 48 64 -0.228474810133175
+13 0 2 0 0 44 48 64 -0.32874618793957
+13 0 2 0 0 45 48 64 -0.425487087347116
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 0.97820518545092
+14 0 2 0 0 28 48 64 0.951493437135042
+14 0 2 0 0 29 48 64 0.914148278072756
+14 0 2 0 0 30 48 64 0.866711114752041
+14 0 2 0 0 31 48 64 0.809805229438442
+14 0 2 0 0 32 48 64 0.743983728606123
+14 0 2 0 0 33 48 64 0.669974693518319
+14 0 2 0 0 34 48 64 0.588702795198027
+14 0 2 0 0 35 48 64 0.501020831388602
+14 0 2 0 0 36 48 64 0.407836421627205
+14 0 2 0 0 37 48 64 0.31018571847216
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+14 0 2 0 0 39 48 64 0.105849486422645
+14 0 2 0 0 40 48 64 0.00133683353537063
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+14 0 2 0 0 42 48 64 -0.206506540638678
+14 0 2 0 0 43 48 64 -0.307572197997115
+14 0 2 0 0 44 48 64 -0.405355808602886
+14 0 2 0 0 45 48 64 -0.498437239323926
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 0.740050125587045
+14 0 1 0 0 20 48 64 0.864226715797034
+14 0 1 0 0 22 48 64 0.950013374516852
+14 0 1 0 0 24 48 64 0.993437275271976
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+14 0 1 0 0 30 48 64 0.866711114752041
+14 0 1 0 0 32 48 64 0.743983728606123
+14 0 1 0 0 34 48 64 0.588702795198027
+14 0 1 0 0 36 48 64 0.407836421627205
+14 0 1 0 0 38 48 64 0.209163782904575
+14 0 1 0 0 40 48 64 0.00133683353537063
+14 0 1 0 0 42 48 64 -0.206506540638678
+14 0 1 0 0 44 48 64 -0.405355808602886
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+14 0 1 0 0 50 48 64 -0.865153071191684
+14 0 1 0 0 52 48 64 -0.950824791894001
+14 0 1 0 0 54 48 64 -0.994889976772011
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 0.957866905186702
+15 0 2 0 0 28 48 64 0.923025544637109
+15 0 2 0 0 29 48 64 0.877736728937291
+15 0 2 0 0 30 48 64 0.822820644297273
+15 0 2 0 0 31 48 64 0.758881390255181
+15 0 2 0 0 32 48 64 0.686631480488899
+15 0 2 0 0 33 48 64 0.606785649352459
+15 0 2 0 0 34 48 64 0.520331471164982
+15 0 2 0 0 35 48 64 0.428249567695702
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+15 0 2 0 0 37 48 64 0.231102637339628
+15 0 2 0 0 38 48 64 0.128197027443003
+15 0 2 0 0 39 48 64 0.0238595906426264
+15 0 2 0 0 40 48 64 -0.0807591310023674
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+15 0 2 0 0 42 48 64 -0.286109697686469
+15 0 2 0 0 43 48 64 -0.38461279359672
+15 0 2 0 0 44 48 64 -0.478681841000394
+15 0 2 0 0 45 48 64 -0.567523937738248
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 0.930916352375702
+16 0 2 0 0 28 48 64 0.888118091040806
+16 0 2 0 0 29 48 64 0.835388544103137
+16 0 2 0 0 30 48 64 0.773368042765617
+16 0 2 0 0 31 48 64 0.702826873659974
+16 0 2 0 0 32 48 64 0.624618214480733
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+16 0 2 0 0 34 48 64 0.448459470859615
+16 0 2 0 0 35 48 64 0.352584711986154
+16 0 2 0 0 36 48 64 0.252900332321738
+16 0 2 0 0 37 48 64 0.150458538409987
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+16 0 2 0 0 39 48 64 -0.0582975198502017
+16 0 2 0 0 40 48 64 -0.162300567356669
+16 0 2 0 0 41 48 64 -0.264487179887996
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+16 0 2 0 0 43 48 64 -0.458999082613169
+16 0 2 0 0 44 48 64 -0.549250742076512
+16 0 2 0 0 45 48 64 -0.633234795741843
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 0.841289434438673
+16 0 1 0 0 20 48 64 0.935857745109236
+16 0 1 0 0 22 48 64 0.988072924570563
+16 0 1 0 0 24 48 64 0.997459777432607
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+16 0 1 0 0 34 48 64 0.448459470859615
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+16 0 1 0 0 42 48 64 -0.363774702678251
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+16 0 1 0 0 48 48 64 -0.841174231563006
+16 0 1 0 0 50 48 64 -0.935850897987194
+16 0 1 0 0 52 48 64 -0.989965087032242
+16 0 1 0 0 54 48 64 -0.999694258948864
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 -0.776603430985959
+16 0 0 0 0 4 48 64 -0.451896040444297
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+16 0 0 0 0 68 48 64 -0.0490535266791296
+16 0 0 0 0 72 48 64 0.362269115588366
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 0.89786555160894
+17 0 2 0 0 28 48 64 0.847413472164466
+17 0 2 0 0 29 48 64 0.787359145596364
+17 0 2 0 0 30 48 64 0.718680693737732
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+17 0 2 0 0 36 48 64 0.172604117151209
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+17 0 2 0 0 44 48 64 -0.615617480569513
+17 0 2 0 0 45 48 64 -0.694253910191724
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 0.858544420874732
+18 0 2 0 0 28 48 64 0.800697556068644
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+18 0 2 0 0 30 48 64 0.65911909569663
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+18 0 2 0 0 34 48 64 0.296186063568446
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+18 0 2 0 0 36 48 64 0.0911497404171258
+18 0 2 0 0 37 48 64 -0.0133447635495444
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+18 0 2 0 0 39 48 64 -0.220865980162306
+18 0 2 0 0 40 48 64 -0.321532097458386
+18 0 2 0 0 41 48 64 -0.418668610036631
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+18 0 2 0 0 43 48 64 -0.597959924183331
+18 0 2 0 0 44 48 64 -0.67826373356664
+18 0 2 0 0 45 48 64 -0.751018588373104
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 0.917100326497388
+18 0 1 0 0 20 48 64 0.980242504897876
+18 0 1 0 0 22 48 64 0.999531714453144
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+18 0 1 0 0 38 48 64 -0.117742556665286
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+18 0 1 0 0 42 48 64 -0.511163826067107
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+18 0 1 0 0 48 48 64 -0.918583390497697
+18 0 1 0 0 50 48 64 -0.981335822728448
+18 0 1 0 0 52 48 64 -1.00131283632461
+18 0 1 0 0 54 48 64 -0.977331433782914
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 0.813722991281882
+19 0 2 0 0 28 48 64 0.748886724310987
+19 0 2 0 0 29 48 64 0.675667351381969
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+19 0 2 0 0 35 48 64 0.113535762178134
+19 0 2 0 0 36 48 64 0.00909709868797795
+19 0 2 0 0 37 48 64 -0.0953973156558579
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+19 0 2 0 0 41 48 64 -0.491750678282094
+19 0 2 0 0 42 48 64 -0.579886326433502
+19 0 2 0 0 43 48 64 -0.661594966709912
+19 0 2 0 0 44 48 64 -0.735920082685127
+19 0 2 0 0 45 48 64 -0.802382655720999
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 0.763141784712689
+20 0 2 0 0 28 48 64 0.691675516372279
+20 0 2 0 0 29 48 64 0.612775871160015
+20 0 2 0 0 30 48 64 0.527029207120317
+20 0 2 0 0 31 48 64 0.435443360737143
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+20 0 2 0 0 33 48 64 0.238763254146331
+20 0 2 0 0 34 48 64 0.135973321016222
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+20 0 2 0 0 38 48 64 -0.278654091069647
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+20 0 2 0 0 40 48 64 -0.472055963817781
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+20 0 2 0 0 42 48 64 -0.64467055131507
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+20 0 2 0 0 44 48 64 -0.789009667385894
+20 0 2 0 0 45 48 64 -0.848722288825669
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 0.970361713848032
+20 0 1 0 0 20 48 64 0.999564324028181
+20 0 1 0 0 22 48 64 0.983871652052732
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+20 0 1 0 0 34 48 64 0.135973321016222
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+20 0 1 0 0 40 48 64 -0.472055963817781
+20 0 1 0 0 42 48 64 -0.64467055131507
+20 0 1 0 0 44 48 64 -0.789009667385894
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+20 0 1 0 0 50 48 64 -1.00033078138859
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+20 0 1 0 0 54 48 64 -0.928254429899516
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 -0.53161707747527
+20 0 0 0 0 4 48 64 -0.140211489787219
+20 0 0 0 0 8 48 64 0.275433684520453
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+20 0 0 0 0 36 48 64 -0.0729922510870682
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+20 0 0 0 0 52 48 64 -0.986217019775353
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+20 0 0 0 0 68 48 64 0.275433684520453
+20 0 0 0 0 72 48 64 0.643434171230391
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 0.707787226629143
+21 0 2 0 0 28 48 64 0.63021469492262
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+21 0 2 0 0 43 48 64 -0.7750131816238
+21 0 2 0 0 44 48 64 -0.836456992597143
+21 0 2 0 0 45 48 64 -0.889069963361049
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 0.647329954652482
+22 0 2 0 0 28 48 64 0.564120672405309
+22 0 2 0 0 29 48 64 0.475015926484294
+22 0 2 0 0 30 48 64 0.380685533887823
+22 0 2 0 0 31 48 64 0.282164105533444
+22 0 2 0 0 32 48 64 0.180486495588698
+22 0 2 0 0 33 48 64 0.0767307938981227
+22 0 2 0 0 34 48 64 -0.0278620061199114
+22 0 2 0 0 35 48 64 -0.132147773989347
+22 0 2 0 0 36 48 64 -0.235077198974181
+22 0 2 0 0 37 48 64 -0.335423528210573
+22 0 2 0 0 38 48 64 -0.431981756374792
+22 0 2 0 0 39 48 64 -0.523763001098567
+22 0 2 0 0 40 48 64 -0.6097961566351
+22 0 2 0 0 41 48 64 -0.689060667155162
+22 0 2 0 0 42 48 64 -0.760723078181539
+22 0 2 0 0 43 48 64 -0.824063748482899
+22 0 2 0 0 44 48 64 -0.87862055667614
+22 0 2 0 0 45 48 64 -0.923742744136254
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 0.995991738300664
+22 0 1 0 0 20 48 64 0.991347477630456
+22 0 1 0 0 22 48 64 0.941736828301416
+22 0 1 0 0 24 48 64 0.851469158170507
+22 0 1 0 0 26 48 64 0.72359181678834
+22 0 1 0 0 28 48 64 0.564120672405309
+22 0 1 0 0 30 48 64 0.380685533887823
+22 0 1 0 0 32 48 64 0.180486495588698
+22 0 1 0 0 34 48 64 -0.0278620061199114
+22 0 1 0 0 36 48 64 -0.235077198974181
+22 0 1 0 0 38 48 64 -0.431981756374792
+22 0 1 0 0 40 48 64 -0.6097961566351
+22 0 1 0 0 42 48 64 -0.760723078181539
+22 0 1 0 0 44 48 64 -0.87862055667614
+22 0 1 0 0 46 48 64 -0.958965574575368
+22 0 1 0 0 48 48 64 -0.997616341963903
+22 0 1 0 0 50 48 64 -0.992433048876957
+22 0 1 0 0 52 48 64 -0.944912042431761
+22 0 1 0 0 54 48 64 -0.855400375477011
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 0.582927016023299
+23 0 2 0 0 28 48 64 0.494713438093223
+23 0 2 0 0 29 48 64 0.40110016421992
+23 0 2 0 0 30 48 64 0.303388563751349
+23 0 2 0 0 31 48 64 0.202371659473425
+23 0 2 0 0 32 48 64 0.0991003386420498
+23 0 2 0 0 33 48 64 -0.00533764446421123
+23 0 2 0 0 34 48 64 -0.109770784141502
+23 0 2 0 0 35 48 64 -0.213006576069722
+23 0 2 0 0 36 48 64 -0.314000433748907
+23 0 2 0 0 37 48 64 -0.411561445928863
+23 0 2 0 0 38 48 64 -0.504509339266058
+23 0 2 0 0 39 48 64 -0.591872910473221
+23 0 2 0 0 40 48 64 -0.672689526578955
+23 0 2 0 0 41 48 64 -0.746051667893601
+23 0 2 0 0 42 48 64 -0.811231889005116
+23 0 2 0 0 43 48 64 -0.867605014283948
+23 0 2 0 0 44 48 64 -0.914623785070993
+23 0 2 0 0 45 48 64 -0.951973775648235
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 0.514195592528564
+24 0 2 0 0 28 48 64 0.421552995562069
+24 0 2 0 0 29 48 64 0.324543850758785
+24 0 2 0 0 30 48 64 0.224038195066581
+24 0 2 0 0 31 48 64 0.121188721923213
+24 0 2 0 0 32 48 64 0.0170074922462631
+24 0 2 0 0 33 48 64 -0.0874081020261959
+24 0 2 0 0 34 48 64 -0.190961632232056
+24 0 2 0 0 35 48 64 -0.292463109279971
+24 0 2 0 0 36 48 64 -0.390814653162212
+24 0 2 0 0 37 48 64 -0.4849061057913
+24 0 2 0 0 38 48 64 -0.573629172572755
+24 0 2 0 0 39 48 64 -0.655981585747944
+24 0 2 0 0 40 48 64 -0.731025278799238
+24 0 2 0 0 41 48 64 -0.798008206305742
+24 0 2 0 0 42 48 64 -0.856284644097681
+24 0 2 0 0 43 48 64 -0.90532084581772
+24 0 2 0 0 44 48 64 -0.944758869299001
+24 0 2 0 0 45 48 64 -0.974013274926734
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 0.99564061024932
+24 0 1 0 0 20 48 64 0.956417207327934
+24 0 1 0 0 22 48 64 0.874282891637038
+24 0 1 0 0 24 48 64 0.75426397497666
+24 0 1 0 0 26 48 64 0.601273371269836
+24 0 1 0 0 28 48 64 0.421552995562069
+24 0 1 0 0 30 48 64 0.224038195066581
+24 0 1 0 0 32 48 64 0.0170074922462631
+24 0 1 0 0 34 48 64 -0.190961632232056
+24 0 1 0 0 36 48 64 -0.390814653162212
+24 0 1 0 0 38 48 64 -0.573629172572755
+24 0 1 0 0 40 48 64 -0.731025278799238
+24 0 1 0 0 42 48 64 -0.856284644097681
+24 0 1 0 0 44 48 64 -0.944758869299001
+24 0 1 0 0 46 48 64 -0.992752923824765
+24 0 1 0 0 48 48 64 -0.997057396345256
+24 0 1 0 0 50 48 64 -0.957990737086227
+24 0 1 0 0 52 48 64 -0.877319769278069
+24 0 1 0 0 54 48 64 -0.757755812997049
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 -0.229884828727607
+24 0 0 0 0 4 48 64 0.186433692874347
+24 0 0 0 0 8 48 64 0.570524977484925
+24 0 0 0 0 12 48 64 0.855871720412954
+24 0 0 0 0 16 48 64 0.992599221514528
+24 0 0 0 0 20 48 64 0.956417207327934
+24 0 0 0 0 24 48 64 0.75426397497666
+24 0 0 0 0 28 48 64 0.421552995562069
+24 0 0 0 0 32 48 64 0.0170074922462631
+24 0 0 0 0 36 48 64 -0.390814653162212
+24 0 0 0 0 40 48 64 -0.731025278799238
+24 0 0 0 0 44 48 64 -0.944758869299001
+24 0 0 0 0 48 48 64 -0.997057396345256
+24 0 0 0 0 52 48 64 -0.877319769278069
+24 0 0 0 0 56 48 64 -0.606213599581726
+24 0 0 0 0 60 48 64 -0.229884828727607
+24 0 0 0 0 64 48 64 0.186433692874347
+24 0 0 0 0 68 48 64 0.570524977484925
+24 0 0 0 0 72 48 64 0.855871720412954
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/phi.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/phi.yl
new file mode 100644
index 000000000..5c0943d9e
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/phi.yl
@@ -0,0 +1,1397 @@
+# WAVETOY::phi y (phi)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 0.800541240924359
+0 0 2 0 0 36 40 64 0.84125353283118
+0 0 2 0 0 36 41 64 0.877678989567255
+0 0 2 0 0 36 42 64 0.909631995354518
+0 0 2 0 0 36 43 64 0.936949724999761
+0 0 2 0 0 36 44 64 0.959492973614497
+0 0 2 0 0 36 45 64 0.977146865971159
+0 0 2 0 0 36 46 64 0.989821441880933
+0 0 2 0 0 36 47 64 0.997452114610254
+0 0 2 0 0 36 48 64 1
+0 0 2 0 0 36 49 64 0.997452114610254
+0 0 2 0 0 36 50 64 0.989821441880933
+0 0 2 0 0 36 51 64 0.977146865971159
+0 0 2 0 0 36 52 64 0.959492973614497
+0 0 2 0 0 36 53 64 0.936949724999761
+0 0 2 0 0 36 54 64 0.909631995354518
+0 0 2 0 0 36 55 64 0.877678989567255
+0 0 2 0 0 36 56 64 0.84125353283118
+0 0 2 0 0 36 57 64 0.800541240924359
+0 0 2 0 0 36 58 64 0.755749574354257
+0 0 2 0 0 36 59 64 0.707106781186546
+0 0 2 0 0 36 60 64 0.654860733945283
+0 0 2 0 0 36 61 64 0.599277666511345
+0 0 2 0 0 36 62 64 0.540640817455595
+0 0 2 0 0 36 63 64 0.479248986720054
+0 0 2 0 0 36 64 64 0.415415013001883
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 -4.60170638573454e-15
+0 0 1 0 0 36 28 64 0.142314838273281
+0 0 1 0 0 36 30 64 0.281732556841426
+0 0 1 0 0 36 32 64 0.415415013001883
+0 0 1 0 0 36 34 64 0.540640817455595
+0 0 1 0 0 36 36 64 0.654860733945283
+0 0 1 0 0 36 38 64 0.755749574354257
+0 0 1 0 0 36 40 64 0.84125353283118
+0 0 1 0 0 36 42 64 0.909631995354518
+0 0 1 0 0 36 44 64 0.959492973614497
+0 0 1 0 0 36 46 64 0.989821441880933
+0 0 1 0 0 36 48 64 1
+0 0 1 0 0 36 50 64 0.989821441880933
+0 0 1 0 0 36 52 64 0.959492973614497
+0 0 1 0 0 36 54 64 0.909631995354518
+0 0 1 0 0 36 56 64 0.84125353283118
+0 0 1 0 0 36 58 64 0.755749574354257
+0 0 1 0 0 36 60 64 0.654860733945283
+0 0 1 0 0 36 62 64 0.540640817455595
+0 0 1 0 0 36 64 64 0.415415013001883
+0 0 1 0 0 36 66 64 0.281732556841426
+0 0 1 0 0 36 68 64 0.142314838273281
+0 0 1 0 0 36 70 64 -4.82375099065957e-15
+0 0 1 0 0 36 72 64 -0.142314838273291
+0 0 1 0 0 36 74 64 -0.281732556841435
+0 0 1 0 0 36 76 64 -0.415415013001892
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 -0.9594929736145
+0 0 0 0 0 36 4 64 -1
+0 0 0 0 0 36 8 64 -0.9594929736145
+0 0 0 0 0 36 12 64 -0.841253532831185
+0 0 0 0 0 36 16 64 -0.65486073394529
+0 0 0 0 0 36 20 64 -0.415415013001892
+0 0 0 0 0 36 24 64 -0.14231483827329
+0 0 0 0 0 36 28 64 0.142314838273281
+0 0 0 0 0 36 32 64 0.415415013001883
+0 0 0 0 0 36 36 64 0.654860733945283
+0 0 0 0 0 36 40 64 0.84125353283118
+0 0 0 0 0 36 44 64 0.959492973614497
+0 0 0 0 0 36 48 64 1
+0 0 0 0 0 36 52 64 0.959492973614497
+0 0 0 0 0 36 56 64 0.84125353283118
+0 0 0 0 0 36 60 64 0.654860733945283
+0 0 0 0 0 36 64 64 0.415415013001883
+0 0 0 0 0 36 68 64 0.142314838273281
+0 0 0 0 0 36 72 64 -0.142314838273291
+0 0 0 0 0 36 76 64 -0.415415013001892
+0 0 0 0 0 36 80 64 -0.65486073394529
+0 0 0 0 0 36 84 64 -0.841253532831186
+0 0 0 0 0 36 88 64 -0.9594929736145
+0 0 0 0 0 36 92 64 -1
+0 0 0 0 0 36 96 64 -0.9594929736145
+0 0 0 0 0 36 100 64 -0.841253532831185
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 0.846884341179432
+1 0 2 0 0 36 40 64 0.882669516221176
+1 0 2 0 0 36 41 64 0.914068809823477
+1 0 2 0 0 36 42 64 0.940672430628993
+1 0 2 0 0 36 43 64 0.962482600349436
+1 0 2 0 0 36 44 64 0.979388179359247
+1 0 2 0 0 36 45 64 0.991303020702898
+1 0 2 0 0 36 46 64 0.998166409080029
+1 0 2 0 0 36 47 64 0.999943370236698
+1 0 2 0 0 36 48 64 0.996624849186167
+1 0 2 0 0 36 49 64 0.988227756351037
+1 0 2 0 0 36 50 64 0.974794881391609
+1 0 2 0 0 36 51 64 0.956394675159587
+1 0 2 0 0 36 52 64 0.933120900888224
+1 0 2 0 0 36 53 64 0.90509215639638
+1 0 2 0 0 36 54 64 0.872451269741224
+1 0 2 0 0 36 55 64 0.835364571399188
+1 0 2 0 0 36 56 64 0.794021046683993
+1 0 2 0 0 36 57 64 0.748631372720804
+1 0 2 0 0 36 58 64 0.699426844883892
+1 0 2 0 0 36 59 64 0.646658198168427
+1 0 2 0 0 36 60 64 0.590594329502417
+1 0 2 0 0 36 61 64 0.531520927509594
+1 0 2 0 0 36 62 64 0.469739016705678
+1 0 2 0 0 36 63 64 0.405809747998422
+1 0 2 0 0 36 64 64 0.339579385024144
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 0.887843301458683
+2 0 2 0 0 36 40 64 0.918419304093192
+2 0 2 0 0 36 41 64 0.944252347299693
+2 0 2 0 0 36 42 64 0.965361401133034
+2 0 2 0 0 36 43 64 0.981516747630521
+2 0 2 0 0 36 44 64 0.99267050976585
+2 0 2 0 0 36 45 64 0.998765850523849
+2 0 2 0 0 36 46 64 0.999771709445194
+2 0 2 0 0 36 47 64 0.995682960903384
+2 0 2 0 0 36 48 64 0.986520440223764
+2 0 2 0 0 36 49 64 0.972330837511478
+2 0 2 0 0 36 50 64 0.953186459729402
+2 0 2 0 0 36 51 64 0.929184862238429
+2 0 2 0 0 36 52 64 0.900448351677713
+2 0 2 0 0 36 53 64 0.867123362718076
+2 0 2 0 0 36 54 64 0.829379711864485
+2 0 2 0 0 36 55 64 0.78740973211007
+2 0 2 0 0 36 56 64 0.74142729285128
+2 0 2 0 0 36 57 64 0.69166671005846
+2 0 2 0 0 36 58 64 0.638381552255376
+2 0 2 0 0 36 59 64 0.581843348392142
+2 0 2 0 0 36 60 64 0.522340204195929
+2 0 2 0 0 36 61 64 0.46017533405022
+2 0 2 0 0 36 62 64 0.395727096996808
+2 0 2 0 0 36 63 64 0.329147260434805
+2 0 2 0 0 36 64 64 0.26094576263341
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 0.161437487892663
+2 0 1 0 0 36 28 64 0.300251365192283
+2 0 1 0 0 36 30 64 0.434981086176293
+2 0 1 0 0 36 32 64 0.55870386751228
+2 0 1 0 0 36 34 64 0.671053049274623
+2 0 1 0 0 36 36 64 0.769741526110928
+2 0 1 0 0 36 38 64 0.852760285226874
+2 0 1 0 0 36 40 64 0.918419304093192
+2 0 1 0 0 36 42 64 0.965361401133034
+2 0 1 0 0 36 44 64 0.99267050976585
+2 0 1 0 0 36 46 64 0.999771709445194
+2 0 1 0 0 36 48 64 0.986520440223764
+2 0 1 0 0 36 50 64 0.953186459729402
+2 0 1 0 0 36 52 64 0.900448351677713
+2 0 1 0 0 36 54 64 0.829379711864485
+2 0 1 0 0 36 56 64 0.74142729285128
+2 0 1 0 0 36 58 64 0.638381552255376
+2 0 1 0 0 36 60 64 0.522340204195929
+2 0 1 0 0 36 62 64 0.395727096996808
+2 0 1 0 0 36 64 64 0.26094576263341
+2 0 1 0 0 36 66 64 0.120901534305763
+2 0 1 0 0 36 68 64 -0.0216039006091158
+2 0 1 0 0 36 70 64 -0.163669542408098
+2 0 1 0 0 36 72 64 -0.302403344307635
+2 0 1 0 0 36 74 64 -0.432860932955646
+2 0 1 0 0 36 76 64 -0.556791436869841
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 0.922528949128768
+3 0 2 0 0 36 40 64 0.947721353805406
+3 0 2 0 0 36 41 64 0.9680723135099
+3 0 2 0 0 36 42 64 0.983523594040274
+3 0 2 0 0 36 43 64 0.993923647379756
+3 0 2 0 0 36 44 64 0.999250281910794
+3 0 2 0 0 36 45 64 0.999484966053872
+3 0 2 0 0 36 46 64 0.99462650391239
+3 0 2 0 0 36 47 64 0.984699653095761
+3 0 2 0 0 36 48 64 0.969754998560311
+3 0 2 0 0 36 49 64 0.94986869483993
+3 0 2 0 0 36 50 64 0.925142077980028
+3 0 2 0 0 36 51 64 0.895701149152276
+3 0 2 0 0 36 52 64 0.861695932581516
+3 0 2 0 0 36 53 64 0.823299711056699
+3 0 2 0 0 36 54 64 0.780708142921515
+3 0 2 0 0 36 55 64 0.734138265044318
+3 0 2 0 0 36 56 64 0.683827386848002
+3 0 2 0 0 36 57 64 0.630031881035568
+3 0 2 0 0 36 58 64 0.573025877173604
+3 0 2 0 0 36 59 64 0.513099864790845
+3 0 2 0 0 36 60 64 0.450559213110124
+3 0 2 0 0 36 61 64 0.385738010235053
+3 0 2 0 0 36 62 64 0.319009909453678
+3 0 2 0 0 36 63 64 0.250812252612126
+3 0 2 0 0 36 64 64 0.181079382018068
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 0.951232509667326
+4 0 2 0 0 36 40 64 0.97083617957176
+4 0 2 0 0 36 41 64 0.985348968194541
+4 0 2 0 0 36 42 64 0.995032669802502
+4 0 2 0 0 36 43 64 0.999617374690585
+4 0 2 0 0 36 44 64 0.999083068861158
+4 0 2 0 0 36 45 64 0.993455511790874
+4 0 2 0 0 36 46 64 0.982765533152878
+4 0 2 0 0 36 47 64 0.96706760662795
+4 0 2 0 0 36 48 64 0.946441725251372
+4 0 2 0 0 36 49 64 0.920992993786766
+4 0 2 0 0 36 50 64 0.890851093136304
+4 0 2 0 0 36 51 64 0.856169619516558
+4 0 2 0 0 36 52 64 0.81712530176739
+4 0 2 0 0 36 53 64 0.773917100782292
+4 0 2 0 0 36 54 64 0.726765195649277
+4 0 2 0 0 36 55 64 0.67590986166872
+4 0 2 0 0 36 56 64 0.621610245965501
+4 0 2 0 0 36 57 64 0.564143046934657
+4 0 2 0 0 36 58 64 0.503801104249789
+4 0 2 0 0 36 59 64 0.440891906619209
+4 0 2 0 0 36 60 64 0.375739873713526
+4 0 2 0 0 36 61 64 0.30870971538427
+4 0 2 0 0 36 62 64 0.240171819499994
+4 0 2 0 0 36 63 64 0.170229031847106
+4 0 2 0 0 36 64 64 0.0994584977819882
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 0.32287497578533
+4 0 1 0 0 36 28 64 0.454391357194266
+4 0 1 0 0 36 30 64 0.575972500230787
+4 0 1 0 0 36 32 64 0.68694030214482
+4 0 1 0 0 36 34 64 0.783385985700596
+4 0 1 0 0 36 36 64 0.863884189686138
+4 0 1 0 0 36 38 64 0.926796202805953
+4 0 1 0 0 36 40 64 0.97083617957176
+4 0 1 0 0 36 42 64 0.995032669802502
+4 0 1 0 0 36 44 64 0.999083068861158
+4 0 1 0 0 36 46 64 0.982765533152878
+4 0 1 0 0 36 48 64 0.946441725251372
+4 0 1 0 0 36 50 64 0.890851093136304
+4 0 1 0 0 36 52 64 0.81712530176739
+4 0 1 0 0 36 54 64 0.726765195649277
+4 0 1 0 0 36 56 64 0.621610245965501
+4 0 1 0 0 36 58 64 0.503801104249789
+4 0 1 0 0 36 60 64 0.375739873713526
+4 0 1 0 0 36 62 64 0.240171819499994
+4 0 1 0 0 36 64 64 0.0994584977819882
+4 0 1 0 0 36 66 64 -0.0431867784762529
+4 0 1 0 0 36 68 64 -0.18494059415072
+4 0 1 0 0 36 70 64 -0.322929552652912
+4 0 1 0 0 36 72 64 -0.453814558409856
+4 0 1 0 0 36 74 64 -0.576518323741326
+4 0 1 0 0 36 76 64 -0.687085828666847
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 -0.999491083590665
+4 0 0 0 0 36 4 64 -0.946867382673997
+4 0 0 0 0 36 8 64 -0.817534117650241
+4 0 0 0 0 36 12 64 -0.621969100477067
+4 0 0 0 0 36 16 64 -0.376015845775909
+4 0 0 0 0 36 20 64 -0.0996000235023264
+4 0 0 0 0 36 24 64 0.184884800331267
+4 0 0 0 0 36 28 64 0.454391357194266
+4 0 0 0 0 36 32 64 0.68694030214482
+4 0 0 0 0 36 36 64 0.863884189686138
+4 0 0 0 0 36 40 64 0.97083617957176
+4 0 0 0 0 36 44 64 0.999083068861158
+4 0 0 0 0 36 48 64 0.946441725251372
+4 0 0 0 0 36 52 64 0.81712530176739
+4 0 0 0 0 36 56 64 0.621610245965501
+4 0 0 0 0 36 60 64 0.375739873713526
+4 0 0 0 0 36 64 64 0.0994584977819882
+4 0 0 0 0 36 68 64 -0.18494059415072
+4 0 0 0 0 36 72 64 -0.453814558409856
+4 0 0 0 0 36 76 64 -0.687085828666847
+4 0 0 0 0 36 80 64 -0.864116692557593
+4 0 0 0 0 36 84 64 -0.971141961117171
+4 0 0 0 0 36 88 64 -0.999491083590665
+4 0 0 0 0 36 92 64 -0.946867382673997
+4 0 0 0 0 36 96 64 -0.817534117650241
+4 0 0 0 0 36 100 64 -0.621969100477067
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 0.973315977622607
+5 0 2 0 0 36 40 64 0.987228628016606
+5 0 2 0 0 36 41 64 0.996011568319322
+5 0 2 0 0 36 42 64 0.999811073190106
+5 0 2 0 0 36 43 64 0.99855472445395
+5 0 2 0 0 36 44 64 0.9921694614143
+5 0 2 0 0 36 45 64 0.980718198895392
+5 0 2 0 0 36 46 64 0.964268883002568
+5 0 2 0 0 36 47 64 0.942905873912165
+5 0 2 0 0 36 48 64 0.916738032621668
+5 0 2 0 0 36 49 64 0.885898704452088
+5 0 2 0 0 36 50 64 0.85054503955077
+5 0 2 0 0 36 51 64 0.810857192090267
+5 0 2 0 0 36 52 64 0.767037402243969
+5 0 2 0 0 36 53 64 0.719308965616537
+5 0 2 0 0 36 54 64 0.66791509538069
+5 0 2 0 0 36 55 64 0.613117682918619
+5 0 2 0 0 36 56 64 0.555195963283541
+5 0 2 0 0 36 57 64 0.494445092281871
+5 0 2 0 0 36 58 64 0.431174642426886
+5 0 2 0 0 36 59 64 0.365707987633056
+5 0 2 0 0 36 60 64 0.298392377273886
+5 0 2 0 0 36 61 64 0.229611289425839
+5 0 2 0 0 36 62 64 0.159665296626843
+5 0 2 0 0 36 63 64 0.0890686386444606
+5 0 2 0 0 36 64 64 0.0177187170666496
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 0.988985646268036
+6 0 2 0 0 36 40 64 0.997077083598493
+6 0 2 0 0 36 41 64 0.999970671997715
+6 0 2 0 0 36 42 64 0.997846005051169
+6 0 2 0 0 36 43 64 0.990738092715854
+6 0 2 0 0 36 44 64 0.978553991901136
+6 0 2 0 0 36 45 64 0.961358895748643
+6 0 2 0 0 36 46 64 0.939261443718656
+6 0 2 0 0 36 47 64 0.912377596111196
+6 0 2 0 0 36 48 64 0.880844481409608
+6 0 2 0 0 36 49 64 0.844822785138375
+6 0 2 0 0 36 50 64 0.804496065604785
+6 0 2 0 0 36 51 64 0.760069818527868
+6 0 2 0 0 36 52 64 0.711770429879323
+6 0 2 0 0 36 53 64 0.659844022272492
+6 0 2 0 0 36 54 64 0.604555200777941
+6 0 2 0 0 36 55 64 0.546185704556676
+6 0 2 0 0 36 56 64 0.485032971181954
+6 0 2 0 0 36 57 64 0.421408620965592
+6 0 2 0 0 36 58 64 0.35563710956351
+6 0 2 0 0 36 59 64 0.288058372298497
+6 0 2 0 0 36 60 64 0.219043231982727
+6 0 2 0 0 36 61 64 0.148963457895725
+6 0 2 0 0 36 62 64 0.0781242112640152
+6 0 2 0 0 36 63 64 0.00672669130953849
+6 0 2 0 0 36 64 64 -0.0646851625084408
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 0.47139778427515
+6 0 1 0 0 36 28 64 0.592233266723946
+6 0 1 0 0 36 30 64 0.701671989144213
+6 0 1 0 0 36 32 64 0.796534913433288
+6 0 1 0 0 36 34 64 0.874613188894939
+6 0 1 0 0 36 36 64 0.934752363312142
+6 0 1 0 0 36 38 64 0.975861390634422
+6 0 1 0 0 36 40 64 0.997077083598493
+6 0 1 0 0 36 42 64 0.997846005051169
+6 0 1 0 0 36 44 64 0.978553991901136
+6 0 1 0 0 36 46 64 0.939261443718656
+6 0 1 0 0 36 48 64 0.880844481409608
+6 0 1 0 0 36 50 64 0.804496065604785
+6 0 1 0 0 36 52 64 0.711770429879323
+6 0 1 0 0 36 54 64 0.604555200777941
+6 0 1 0 0 36 56 64 0.485032971181954
+6 0 1 0 0 36 58 64 0.35563710956351
+6 0 1 0 0 36 60 64 0.219043231982727
+6 0 1 0 0 36 62 64 0.0781242112640152
+6 0 1 0 0 36 64 64 -0.0646851625084408
+6 0 1 0 0 36 66 64 -0.206108491386042
+6 0 1 0 0 36 68 64 -0.343294677695347
+6 0 1 0 0 36 70 64 -0.47335678919199
+6 0 1 0 0 36 72 64 -0.593188258020841
+6 0 1 0 0 36 74 64 -0.700418634027634
+6 0 1 0 0 36 76 64 -0.795373064323371
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 0.99786509327428
+7 0 2 0 0 36 40 64 1.00010995333393
+7 0 2 0 0 36 41 64 0.997193876601608
+7 0 2 0 0 36 42 64 0.989171894656327
+7 0 2 0 0 36 43 64 0.976224232250758
+7 0 2 0 0 36 44 64 0.958324683948181
+7 0 2 0 0 36 45 64 0.935507540494354
+7 0 2 0 0 36 46 64 0.907912033075139
+7 0 2 0 0 36 47 64 0.875688901601554
+7 0 2 0 0 36 48 64 0.839003426571696
+7 0 2 0 0 36 49 64 0.798042582396819
+7 0 2 0 0 36 50 64 0.753015096149773
+7 0 2 0 0 36 51 64 0.70415041757925
+7 0 2 0 0 36 52 64 0.651697549886459
+7 0 2 0 0 36 53 64 0.595923780861889
+7 0 2 0 0 36 54 64 0.537113320847998
+7 0 2 0 0 36 55 64 0.475565854468454
+7 0 2 0 0 36 56 64 0.411595013503985
+7 0 2 0 0 36 57 64 0.345526838834523
+7 0 2 0 0 36 58 64 0.277699535228248
+7 0 2 0 0 36 59 64 0.208471443177435
+7 0 2 0 0 36 60 64 0.138227838562322
+7 0 2 0 0 36 61 64 0.0673121290994425
+7 0 2 0 0 36 62 64 -0.003982595808421
+7 0 2 0 0 36 63 64 -0.0750835747909118
+7 0 2 0 0 36 64 64 -0.146096978695613
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 1.00007123172127
+8 0 2 0 0 36 40 64 0.99641776821741
+8 0 2 0 0 36 41 64 0.987667188675403
+8 0 2 0 0 36 42 64 0.973850500993932
+8 0 2 0 0 36 43 64 0.955126351492183
+8 0 2 0 0 36 44 64 0.931615880866045
+8 0 2 0 0 36 45 64 0.903336649687194
+8 0 2 0 0 36 46 64 0.870432069674786
+8 0 2 0 0 36 47 64 0.833087505775029
+8 0 2 0 0 36 48 64 0.791497380890392
+8 0 2 0 0 36 49 64 0.745873958370277
+8 0 2 0 0 36 50 64 0.696449733127913
+8 0 2 0 0 36 51 64 0.643476559686091
+8 0 2 0 0 36 52 64 0.587224377194131
+8 0 2 0 0 36 53 64 0.52797983387986
+8 0 2 0 0 36 54 64 0.466044826355943
+8 0 2 0 0 36 55 64 0.401734961223946
+8 0 2 0 0 36 56 64 0.335377961849896
+8 0 2 0 0 36 57 64 0.267312437865785
+8 0 2 0 0 36 58 64 0.197890438037485
+8 0 2 0 0 36 59 64 0.127488537398047
+8 0 2 0 0 36 60 64 0.0564883254885799
+8 0 2 0 0 36 61 64 -0.0148007293520642
+8 0 2 0 0 36 62 64 -0.0860204959574086
+8 0 2 0 0 36 63 64 -0.156972458378272
+8 0 2 0 0 36 64 64 -0.227068785577423
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 0.611292615681153
+8 0 1 0 0 36 28 64 0.717944276299752
+8 0 1 0 0 36 30 64 0.808289214559588
+8 0 1 0 0 36 32 64 0.884514111352328
+8 0 1 0 0 36 34 64 0.942243220220959
+8 0 1 0 0 36 36 64 0.980436418306299
+8 0 1 0 0 36 38 64 0.998628332136731
+8 0 1 0 0 36 40 64 0.99641776821741
+8 0 1 0 0 36 42 64 0.973850500993932
+8 0 1 0 0 36 44 64 0.931615880866045
+8 0 1 0 0 36 46 64 0.870432069674786
+8 0 1 0 0 36 48 64 0.791497380890392
+8 0 1 0 0 36 50 64 0.696449733127913
+8 0 1 0 0 36 52 64 0.587224377194131
+8 0 1 0 0 36 54 64 0.466044826355943
+8 0 1 0 0 36 56 64 0.335377961849896
+8 0 1 0 0 36 58 64 0.197890438037485
+8 0 1 0 0 36 60 64 0.0564883254885799
+8 0 1 0 0 36 62 64 -0.0860204959574086
+8 0 1 0 0 36 64 64 -0.227068785577423
+8 0 1 0 0 36 66 64 -0.363466953607836
+8 0 1 0 0 36 68 64 -0.49236593017385
+8 0 1 0 0 36 70 64 -0.610863566645912
+8 0 1 0 0 36 72 64 -0.716311243076069
+8 0 1 0 0 36 74 64 -0.809298557071869
+8 0 1 0 0 36 76 64 -0.885294851862594
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 -0.932835443497159
+8 0 0 0 0 36 4 64 -0.792696388078993
+8 0 0 0 0 36 8 64 -0.588337785645617
+8 0 0 0 0 36 12 64 -0.336315554798765
+8 0 0 0 0 36 16 64 -0.0570470378477346
+8 0 0 0 0 36 20 64 0.226843090837922
+8 0 0 0 0 36 24 64 0.492355741391697
+8 0 0 0 0 36 28 64 0.717944276299752
+8 0 0 0 0 36 32 64 0.884514111352328
+8 0 0 0 0 36 36 64 0.980436418306299
+8 0 0 0 0 36 40 64 0.99641776821741
+8 0 0 0 0 36 44 64 0.931615880866045
+8 0 0 0 0 36 48 64 0.791497380890392
+8 0 0 0 0 36 52 64 0.587224377194131
+8 0 0 0 0 36 56 64 0.335377961849896
+8 0 0 0 0 36 60 64 0.0564883254885799
+8 0 0 0 0 36 64 64 -0.227068785577423
+8 0 0 0 0 36 68 64 -0.49236593017385
+8 0 0 0 0 36 72 64 -0.716311243076069
+8 0 0 0 0 36 76 64 -0.885294851862594
+8 0 0 0 0 36 80 64 -0.981164439138648
+8 0 0 0 0 36 84 64 -0.997401719069184
+8 0 0 0 0 36 88 64 -0.932835443497159
+8 0 0 0 0 36 92 64 -0.792696388078993
+8 0 0 0 0 36 96 64 -0.588337785645617
+8 0 0 0 0 36 100 64 -0.336315554798765
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 0.995498299655299
+9 0 2 0 0 36 40 64 0.986014375001973
+9 0 2 0 0 36 41 64 0.97145103821933
+9 0 2 0 0 36 42 64 0.951963554463051
+9 0 2 0 0 36 43 64 0.92760198364148
+9 0 2 0 0 36 44 64 0.898612137101705
+9 0 2 0 0 36 45 64 0.865060742435632
+9 0 2 0 0 36 46 64 0.82707375292823
+9 0 2 0 0 36 47 64 0.784860976461778
+9 0 2 0 0 36 48 64 0.738647105626241
+9 0 2 0 0 36 49 64 0.688669158578261
+9 0 2 0 0 36 50 64 0.635181909644473
+9 0 2 0 0 36 51 64 0.578457918909488
+9 0 2 0 0 36 52 64 0.518786239593241
+9 0 2 0 0 36 53 64 0.456470944146604
+9 0 2 0 0 36 54 64 0.391829577759863
+9 0 2 0 0 36 55 64 0.32519154107301
+9 0 2 0 0 36 56 64 0.256896545679069
+9 0 2 0 0 36 57 64 0.187294539039972
+9 0 2 0 0 36 58 64 0.116752274798872
+9 0 2 0 0 36 59 64 0.0456580950063515
+9 0 2 0 0 36 60 64 -0.0256316538805227
+9 0 2 0 0 36 61 64 -0.0968166568003651
+9 0 2 0 0 36 62 64 -0.167521381435537
+9 0 2 0 0 36 63 64 -0.237194570927666
+9 0 2 0 0 36 64 64 -0.305963897519631
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 0.984184632339352
+10 0 2 0 0 36 40 64 0.968895158103271
+10 0 2 0 0 36 41 64 0.948674528613906
+10 0 2 0 0 36 42 64 0.923635763824251
+10 0 2 0 0 36 43 64 0.893837630991987
+10 0 2 0 0 36 44 64 0.859546529509971
+10 0 2 0 0 36 45 64 0.820937288367852
+10 0 2 0 0 36 46 64 0.778128147089125
+10 0 2 0 0 36 47 64 0.731334606299791
+10 0 2 0 0 36 48 64 0.68080942364563
+10 0 2 0 0 36 49 64 0.626814433952876
+10 0 2 0 0 36 50 64 0.569625314916778
+10 0 2 0 0 36 51 64 0.509533513401379
+10 0 2 0 0 36 52 64 0.446845247777321
+10 0 2 0 0 36 53 64 0.381879959364726
+10 0 2 0 0 36 54 64 0.314968700928055
+10 0 2 0 0 36 55 64 0.246452473450042
+10 0 2 0 0 36 56 64 0.176681095713967
+10 0 2 0 0 36 57 64 0.106015577616819
+10 0 2 0 0 36 58 64 0.0348367354691235
+10 0 2 0 0 36 59 64 -0.036470744245346
+10 0 2 0 0 36 60 64 -0.107585789820795
+10 0 2 0 0 36 61 64 -0.178184793537905
+10 0 2 0 0 36 62 64 -0.24784449791916
+10 0 2 0 0 36 63 64 -0.316415394716091
+10 0 2 0 0 36 64 64 -0.383327876400318
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 0.731043086649304
+10 0 1 0 0 36 28 64 0.82091165379894
+10 0 1 0 0 36 30 64 0.893606807067543
+10 0 1 0 0 36 32 64 0.948507810833094
+10 0 1 0 0 36 34 64 0.984395735745832
+10 0 1 0 0 36 36 64 0.999695264168783
+10 0 1 0 0 36 38 64 0.994472229169217
+10 0 1 0 0 36 40 64 0.968895158103271
+10 0 1 0 0 36 42 64 0.923635763824251
+10 0 1 0 0 36 44 64 0.859546529509971
+10 0 1 0 0 36 46 64 0.778128147089125
+10 0 1 0 0 36 48 64 0.68080942364563
+10 0 1 0 0 36 50 64 0.569625314916778
+10 0 1 0 0 36 52 64 0.446845247777321
+10 0 1 0 0 36 54 64 0.314968700928055
+10 0 1 0 0 36 56 64 0.176681095713967
+10 0 1 0 0 36 58 64 0.0348367354691235
+10 0 1 0 0 36 60 64 -0.107585789820795
+10 0 1 0 0 36 62 64 -0.24784449791916
+10 0 1 0 0 36 64 64 -0.383327876400318
+10 0 1 0 0 36 66 64 -0.511007992973224
+10 0 1 0 0 36 68 64 -0.62807276652128
+10 0 1 0 0 36 70 64 -0.731715153971033
+10 0 1 0 0 36 72 64 -0.82054588547585
+10 0 1 0 0 36 74 64 -0.892849459983349
+10 0 1 0 0 36 76 64 -0.948843263467933
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 0.966297941953185
+11 0 2 0 0 36 40 64 0.945348818505178
+11 0 2 0 0 36 41 64 0.919492212760229
+11 0 2 0 0 36 42 64 0.889056144866739
+11 0 2 0 0 36 43 64 0.854048782807892
+11 0 2 0 0 36 44 64 0.81469219752509
+11 0 2 0 0 36 45 64 0.771267136362661
+11 0 2 0 0 36 46 64 0.723923801279513
+11 0 2 0 0 36 47 64 0.672868950786423
+11 0 2 0 0 36 48 64 0.618374727988662
+11 0 2 0 0 36 49 64 0.560727428638169
+11 0 2 0 0 36 50 64 0.500222610718984
+11 0 2 0 0 36 51 64 0.437168762514722
+11 0 2 0 0 36 52 64 0.371887204745779
+11 0 2 0 0 36 53 64 0.304710592960318
+11 0 2 0 0 36 54 64 0.235981259632784
+11 0 2 0 0 36 55 64 0.166049652644923
+11 0 2 0 0 36 56 64 0.0952743758211437
+11 0 2 0 0 36 57 64 0.0240277318067975
+11 0 2 0 0 36 58 64 -0.0473013758012252
+11 0 2 0 0 36 59 64 -0.11835179390266
+11 0 2 0 0 36 60 64 -0.188823451379703
+11 0 2 0 0 36 61 64 -0.258341298035086
+11 0 2 0 0 36 62 64 -0.326533294455684
+11 0 2 0 0 36 63 64 -0.392913878250038
+11 0 2 0 0 36 64 64 -0.457584532533769
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 0.941779412690386
+12 0 2 0 0 36 40 64 0.915279122546404
+12 0 2 0 0 36 41 64 0.884121849659726
+12 0 2 0 0 36 42 64 0.848467054993579
+12 0 2 0 0 36 43 64 0.808492138973836
+12 0 2 0 0 36 44 64 0.764354994088159
+12 0 2 0 0 36 45 64 0.716392001789174
+12 0 2 0 0 36 46 64 0.664825864573881
+12 0 2 0 0 36 47 64 0.609857315000677
+12 0 2 0 0 36 48 64 0.551764192374177
+12 0 2 0 0 36 49 64 0.490854349610054
+12 0 2 0 0 36 50 64 0.427442477477006
+12 0 2 0 0 36 51 64 0.361852403248763
+12 0 2 0 0 36 52 64 0.294418405182914
+12 0 2 0 0 36 53 64 0.225484126258149
+12 0 2 0 0 36 54 64 0.155400902174517
+12 0 2 0 0 36 55 64 0.0845267270771566
+12 0 2 0 0 36 56 64 0.013228418589937
+12 0 2 0 0 36 57 64 -0.058111683677322
+12 0 2 0 0 36 58 64 -0.129110148712428
+12 0 2 0 0 36 59 64 -0.199440314403839
+12 0 2 0 0 36 60 64 -0.268787743401434
+12 0 2 0 0 36 61 64 -0.336746929845676
+12 0 2 0 0 36 62 64 -0.402976252448952
+12 0 2 0 0 36 63 64 -0.467334495941905
+12 0 2 0 0 36 64 64 -0.529259262481888
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 0.834408385166698
+12 0 1 0 0 36 28 64 0.904672976595759
+12 0 1 0 0 36 30 64 0.954867197028683
+12 0 1 0 0 36 32 64 0.98699026923675
+12 0 1 0 0 36 34 64 0.99987991411914
+12 0 1 0 0 36 36 64 0.991976913355699
+12 0 1 0 0 36 38 64 0.963496012974159
+12 0 1 0 0 36 40 64 0.915279122546404
+12 0 1 0 0 36 42 64 0.848467054993579
+12 0 1 0 0 36 44 64 0.764354994088159
+12 0 1 0 0 36 46 64 0.664825864573881
+12 0 1 0 0 36 48 64 0.551764192374177
+12 0 1 0 0 36 50 64 0.427442477477006
+12 0 1 0 0 36 52 64 0.294418405182914
+12 0 1 0 0 36 54 64 0.155400902174517
+12 0 1 0 0 36 56 64 0.013228418589937
+12 0 1 0 0 36 58 64 -0.129110148712428
+12 0 1 0 0 36 60 64 -0.268787743401434
+12 0 1 0 0 36 62 64 -0.402976252448952
+12 0 1 0 0 36 64 64 -0.529259262481888
+12 0 1 0 0 36 66 64 -0.644727268816305
+12 0 1 0 0 36 68 64 -0.746685792618981
+12 0 1 0 0 36 70 64 -0.832839772912855
+12 0 1 0 0 36 72 64 -0.902643948549198
+12 0 1 0 0 36 74 64 -0.955379795084121
+12 0 1 0 0 36 76 64 -0.988687608411581
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 -0.766638747079809
+12 0 0 0 0 36 4 64 -0.553938303270455
+12 0 0 0 0 36 8 64 -0.296361072528066
+12 0 0 0 0 36 12 64 -0.0147744302166163
+12 0 0 0 0 36 16 64 0.268009148564067
+12 0 0 0 0 36 20 64 0.529080220039869
+12 0 0 0 0 36 24 64 0.74727926324164
+12 0 0 0 0 36 28 64 0.904672976595759
+12 0 0 0 0 36 32 64 0.98699026923675
+12 0 0 0 0 36 36 64 0.991976913355699
+12 0 0 0 0 36 40 64 0.915279122546404
+12 0 0 0 0 36 44 64 0.764354994088159
+12 0 0 0 0 36 48 64 0.551764192374177
+12 0 0 0 0 36 52 64 0.294418405182914
+12 0 0 0 0 36 56 64 0.013228418589937
+12 0 0 0 0 36 60 64 -0.268787743401434
+12 0 0 0 0 36 64 64 -0.529259262481888
+12 0 0 0 0 36 68 64 -0.746685792618981
+12 0 0 0 0 36 72 64 -0.902643948549198
+12 0 0 0 0 36 76 64 -0.988687608411581
+12 0 0 0 0 36 80 64 -0.993477986320237
+12 0 0 0 0 36 84 64 -0.917230678976947
+12 0 0 0 0 36 88 64 -0.766638747079809
+12 0 0 0 0 36 92 64 -0.553938303270455
+12 0 0 0 0 36 96 64 -0.296361072528066
+12 0 0 0 0 36 100 64 -0.0147744302166163
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 0.911064769927993
+13 0 2 0 0 36 40 64 0.879227028160309
+13 0 2 0 0 36 41 64 0.842775039775504
+13 0 2 0 0 36 42 64 0.802151405640367
+13 0 2 0 0 36 43 64 0.757469265038353
+13 0 2 0 0 36 44 64 0.70887209315155
+13 0 2 0 0 36 45 64 0.656689863569652
+13 0 2 0 0 36 46 64 0.601234914124357
+13 0 2 0 0 36 47 64 0.542723508416054
+13 0 2 0 0 36 48 64 0.481426805282371
+13 0 2 0 0 36 49 64 0.417666948821383
+13 0 2 0 0 36 50 64 0.351776541620565
+13 0 2 0 0 36 51 64 0.284093312714072
+13 0 2 0 0 36 52 64 0.214962375918812
+13 0 2 0 0 36 53 64 0.144736078740524
+13 0 2 0 0 36 54 64 0.0737725578574168
+13 0 2 0 0 36 55 64 0.00243595534599758
+13 0 2 0 0 36 56 64 -0.068899028223811
+13 0 2 0 0 36 57 64 -0.139845813175558
+13 0 2 0 0 36 58 64 -0.210043433112958
+13 0 2 0 0 36 59 64 -0.279189120874266
+13 0 2 0 0 36 60 64 -0.346928042017796
+13 0 2 0 0 36 61 64 -0.412871497245571
+13 0 2 0 0 36 62 64 -0.476739747099946
+13 0 2 0 0 36 63 64 -0.538039063074279
+13 0 2 0 0 36 64 64 -0.596873336647363
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 0.874001510421411
+14 0 2 0 0 36 40 64 0.837012216035774
+14 0 2 0 0 36 41 64 0.795759709937034
+14 0 2 0 0 36 42 64 0.750421699556775
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+14 0 2 0 0 36 44 64 0.648610854110439
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+14 0 2 0 0 36 46 64 0.533585049830398
+14 0 2 0 0 36 47 64 0.471919978605862
+14 0 2 0 0 36 48 64 0.407836421627205
+14 0 2 0 0 36 49 64 0.341659346613087
+14 0 2 0 0 36 50 64 0.273736178316855
+14 0 2 0 0 36 51 64 0.204417228308077
+14 0 2 0 0 36 52 64 0.134056525030675
+14 0 2 0 0 36 53 64 0.0630128152662698
+14 0 2 0 0 36 54 64 -0.00835085954040794
+14 0 2 0 0 36 55 64 -0.0796650711581544
+14 0 2 0 0 36 56 64 -0.15054898160398
+14 0 2 0 0 36 57 64 -0.220623476316291
+14 0 2 0 0 36 58 64 -0.289559760930565
+14 0 2 0 0 36 59 64 -0.357051441627741
+14 0 2 0 0 36 60 64 -0.422713227661381
+14 0 2 0 0 36 61 64 -0.486213368545216
+14 0 2 0 0 36 62 64 -0.547243600689326
+14 0 2 0 0 36 63 64 -0.605652706804793
+14 0 2 0 0 36 64 64 -0.660919664895965
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 0.912520945415842
+14 0 1 0 0 36 28 64 0.961669004236397
+14 0 1 0 0 36 30 64 0.99065919579332
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+14 0 1 0 0 36 34 64 0.988306600498018
+14 0 1 0 0 36 36 64 0.957434147122977
+14 0 1 0 0 36 38 64 0.906530806650218
+14 0 1 0 0 36 40 64 0.837012216035774
+14 0 1 0 0 36 42 64 0.750421699556775
+14 0 1 0 0 36 44 64 0.648610854110439
+14 0 1 0 0 36 46 64 0.533585049830398
+14 0 1 0 0 36 48 64 0.407836421627205
+14 0 1 0 0 36 50 64 0.273736178316855
+14 0 1 0 0 36 52 64 0.134056525030675
+14 0 1 0 0 36 54 64 -0.00835085954040794
+14 0 1 0 0 36 56 64 -0.15054898160398
+14 0 1 0 0 36 58 64 -0.289559760930565
+14 0 1 0 0 36 60 64 -0.422713227661381
+14 0 1 0 0 36 62 64 -0.547243600689326
+14 0 1 0 0 36 64 64 -0.660919664895965
+14 0 1 0 0 36 66 64 -0.760976295373182
+14 0 1 0 0 36 68 64 -0.845019977445189
+14 0 1 0 0 36 70 64 -0.911682289472813
+14 0 1 0 0 36 72 64 -0.960669362984489
+14 0 1 0 0 36 74 64 -0.99016480017552
+14 0 1 0 0 36 76 64 -1.00071279098304
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 0.831273267155362
+15 0 2 0 0 36 40 64 0.789418696893631
+15 0 2 0 0 36 41 64 0.743356165846585
+15 0 2 0 0 36 42 64 0.693633866159903
+15 0 2 0 0 36 43 64 0.64042348804314
+15 0 2 0 0 36 44 64 0.583965266592058
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+15 0 2 0 0 36 46 64 0.462340981127618
+15 0 2 0 0 36 47 64 0.397926280423563
+15 0 2 0 0 36 48 64 0.331489010785187
+15 0 2 0 0 36 49 64 0.263344716397061
+15 0 2 0 0 36 50 64 0.193849092791542
+15 0 2 0 0 36 51 64 0.123363270529524
+15 0 2 0 0 36 52 64 0.0522485549226051
+15 0 2 0 0 36 53 64 -0.0191320427302228
+15 0 2 0 0 36 54 64 -0.0904119833671349
+15 0 2 0 0 36 55 64 -0.161217389049469
+15 0 2 0 0 36 56 64 -0.231166688362151
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+15 0 2 0 0 36 58 64 -0.36712175847331
+15 0 2 0 0 36 59 64 -0.43249243353882
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+15 0 2 0 0 36 61 64 -0.556271036714094
+15 0 2 0 0 36 62 64 -0.614086514909749
+15 0 2 0 0 36 63 64 -0.668661600295992
+15 0 2 0 0 36 64 64 -0.720055394115489
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 0.78265254796369
+16 0 2 0 0 36 40 64 0.736185133826936
+16 0 2 0 0 36 41 64 0.68595893720503
+16 0 2 0 0 36 42 64 0.632173024414054
+16 0 2 0 0 36 43 64 0.575199957480368
+16 0 2 0 0 36 44 64 0.515358661755328
+16 0 2 0 0 36 45 64 0.452836849006508
+16 0 2 0 0 36 46 64 0.387992654318939
+16 0 2 0 0 36 47 64 0.321247494392823
+16 0 2 0 0 36 48 64 0.252900332321738
+16 0 2 0 0 36 49 64 0.183251927533007
+16 0 2 0 0 36 50 64 0.112655648142791
+16 0 2 0 0 36 51 64 0.0414801940589828
+16 0 2 0 0 36 52 64 -0.0299074282466382
+16 0 2 0 0 36 53 64 -0.101141502634626
+16 0 2 0 0 36 54 64 -0.171853033330029
+16 0 2 0 0 36 55 64 -0.241665708779502
+16 0 2 0 0 36 56 64 -0.310207236258216
+16 0 2 0 0 36 57 64 -0.377150954047162
+16 0 2 0 0 36 58 64 -0.442200996175345
+16 0 2 0 0 36 59 64 -0.505000782766007
+16 0 2 0 0 36 60 64 -0.565215593329498
+16 0 2 0 0 36 61 64 -0.622571081839553
+16 0 2 0 0 36 62 64 -0.676746687620552
+16 0 2 0 0 36 63 64 -0.727637713680176
+16 0 2 0 0 36 64 64 -0.774728142010004
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 0.968229707389599
+16 0 1 0 0 36 28 64 0.994419483538792
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+16 0 1 0 0 36 36 64 0.896958332854758
+16 0 1 0 0 36 38 64 0.825100578558399
+16 0 1 0 0 36 40 64 0.736185133826936
+16 0 1 0 0 36 42 64 0.632173024414054
+16 0 1 0 0 36 44 64 0.515358661755328
+16 0 1 0 0 36 46 64 0.387992654318939
+16 0 1 0 0 36 48 64 0.252900332321738
+16 0 1 0 0 36 50 64 0.112655648142791
+16 0 1 0 0 36 52 64 -0.0299074282466382
+16 0 1 0 0 36 54 64 -0.171853033330029
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+16 0 1 0 0 36 58 64 -0.442200996175345
+16 0 1 0 0 36 60 64 -0.565215593329498
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+16 0 1 0 0 36 66 64 -0.85658874911069
+16 0 1 0 0 36 68 64 -0.920551205610425
+16 0 1 0 0 36 70 64 -0.966197463554062
+16 0 1 0 0 36 72 64 -0.992697631858944
+16 0 1 0 0 36 74 64 -0.999814531361568
+16 0 1 0 0 36 76 64 -0.986290509752483
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 -0.51863552065217
+16 0 0 0 0 36 4 64 -0.256070539225176
+16 0 0 0 0 36 8 64 0.0272397543797119
+16 0 0 0 0 36 12 64 0.30834324508581
+16 0 0 0 0 36 16 64 0.564466599862946
+16 0 0 0 0 36 20 64 0.77485795387941
+16 0 0 0 0 36 24 64 0.92239576591294
+16 0 0 0 0 36 28 64 0.994419483538792
+16 0 0 0 0 36 32 64 0.984559608618399
+16 0 0 0 0 36 36 64 0.896958332854758
+16 0 0 0 0 36 40 64 0.736185133826936
+16 0 0 0 0 36 44 64 0.515358661755328
+16 0 0 0 0 36 48 64 0.252900332321738
+16 0 0 0 0 36 52 64 -0.0299074282466382
+16 0 0 0 0 36 56 64 -0.310207236258216
+16 0 0 0 0 36 60 64 -0.565215593329498
+16 0 0 0 0 36 64 64 -0.774728142010004
+16 0 0 0 0 36 68 64 -0.920551205610425
+16 0 0 0 0 36 72 64 -0.992697631858944
+16 0 0 0 0 36 76 64 -0.986290509752483
+16 0 0 0 0 36 80 64 -0.899641427539374
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+16 0 0 0 0 36 88 64 -0.51863552065217
+16 0 0 0 0 36 92 64 -0.256070539225176
+16 0 0 0 0 36 96 64 0.0272397543797119
+16 0 0 0 0 36 100 64 0.30834324508581
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 0.729053056795968
+17 0 2 0 0 36 40 64 0.678324509107654
+17 0 2 0 0 36 41 64 0.623909671123436
+17 0 2 0 0 36 42 64 0.566456285381957
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+17 0 2 0 0 36 47 64 0.242411095831099
+17 0 2 0 0 36 48 64 0.172604117151209
+17 0 2 0 0 36 49 64 0.101922364059757
+17 0 2 0 0 36 50 64 0.0307050863323855
+17 0 2 0 0 36 51 64 -0.0406775827415294
+17 0 2 0 0 36 52 64 -0.111854940966218
+17 0 2 0 0 36 53 64 -0.182459316521384
+17 0 2 0 0 36 54 64 -0.252120398539589
+17 0 2 0 0 36 55 64 -0.320464236636878
+17 0 2 0 0 36 56 64 -0.387140176499943
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+17 0 2 0 0 36 58 64 -0.514286850733145
+17 0 2 0 0 36 59 64 -0.574091629323918
+17 0 2 0 0 36 60 64 -0.630976891903902
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+17 0 2 0 0 36 62 64 -0.734870201397646
+17 0 2 0 0 36 63 64 -0.781225488731442
+17 0 2 0 0 36 64 64 -0.823770595221304
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 0.67017046462881
+18 0 2 0 0 36 40 64 0.615499161978464
+18 0 2 0 0 36 41 64 0.55768233680739
+18 0 2 0 0 36 42 64 0.496919323408123
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+18 0 2 0 0 36 44 64 0.368167120800529
+18 0 2 0 0 36 45 64 0.300888427469023
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+18 0 2 0 0 36 47 64 0.161960167763564
+18 0 2 0 0 36 48 64 0.0911497404171258
+18 0 2 0 0 36 49 64 0.0199069541127
+18 0 2 0 0 36 50 64 -0.0514483194861259
+18 0 2 0 0 36 51 64 -0.122554145230524
+18 0 2 0 0 36 52 64 -0.193039172124186
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+18 0 2 0 0 36 54 64 -0.330669628509104
+18 0 2 0 0 36 55 64 -0.397082344798239
+18 0 2 0 0 36 56 64 -0.461452740228317
+18 0 2 0 0 36 57 64 -0.52349872311611
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+18 0 2 0 0 36 59 64 -0.639305145667595
+18 0 2 0 0 36 60 64 -0.692477569157509
+18 0 2 0 0 36 61 64 -0.742128059864029
+18 0 2 0 0 36 62 64 -0.787997335135832
+18 0 2 0 0 36 63 64 -0.829954743321848
+18 0 2 0 0 36 64 64 -0.867571858202125
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 0.996265688851139
+18 0 1 0 0 36 28 64 0.999376619698863
+18 0 1 0 0 36 30 64 0.981417223452697
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+18 0 1 0 0 36 40 64 0.615499161978464
+18 0 1 0 0 36 42 64 0.496919323408123
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+18 0 1 0 0 36 46 64 0.23201805534409
+18 0 1 0 0 36 48 64 0.0911497404171258
+18 0 1 0 0 36 50 64 -0.0514483194861259
+18 0 1 0 0 36 52 64 -0.193039172124186
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+18 0 1 0 0 36 58 64 -0.582893415709868
+18 0 1 0 0 36 60 64 -0.692477569157509
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+18 0 1 0 0 36 64 64 -0.867571858202125
+18 0 1 0 0 36 66 64 -0.929010791488522
+18 0 1 0 0 36 68 64 -0.971404421234145
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+18 0 1 0 0 36 72 64 -0.998033566592112
+18 0 1 0 0 36 74 64 -0.981659999620994
+18 0 1 0 0 36 76 64 -0.945593293386465
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 0.607133946067028
+19 0 2 0 0 36 40 64 0.548925870487363
+19 0 2 0 0 36 41 64 0.487665721742446
+19 0 2 0 0 36 42 64 0.424036767032635
+19 0 2 0 0 36 43 64 0.358249926081687
+19 0 2 0 0 36 44 64 0.290626390365597
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+19 0 2 0 0 36 47 64 0.0804434131939141
+19 0 2 0 0 36 48 64 0.00909709868797795
+19 0 2 0 0 36 49 64 -0.0622371574130248
+19 0 2 0 0 36 50 64 -0.13324946222402
+19 0 2 0 0 36 51 64 -0.203596556310784
+19 0 2 0 0 36 52 64 -0.272911295658239
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+19 0 2 0 0 36 54 64 -0.406970704064416
+19 0 2 0 0 36 55 64 -0.471009130844829
+19 0 2 0 0 36 56 64 -0.532651876742846
+19 0 2 0 0 36 57 64 -0.591615014190188
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+19 0 2 0 0 36 59 64 -0.700208171977563
+19 0 2 0 0 36 60 64 -0.749307380774224
+19 0 2 0 0 36 61 64 -0.794588693533478
+19 0 2 0 0 36 62 64 -0.835825386266989
+19 0 2 0 0 36 63 64 -0.872673309085061
+19 0 2 0 0 36 64 64 -0.905184791692269
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 0.539566669607395
+20 0 2 0 0 36 40 64 0.478199041951685
+20 0 2 0 0 36 41 64 0.41438799338522
+20 0 2 0 0 36 42 64 0.348300148721269
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+20 0 2 0 0 36 44 64 0.211161426859413
+20 0 2 0 0 36 45 64 0.140826092731511
+20 0 2 0 0 36 46 64 0.0698210819998447
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+20 0 2 0 0 36 48 64 -0.0729922510870682
+20 0 2 0 0 36 49 64 -0.143951107656801
+20 0 2 0 0 36 50 64 -0.214146857274123
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+20 0 2 0 0 36 52 64 -0.350933027406743
+20 0 2 0 0 36 53 64 -0.4168023280587
+20 0 2 0 0 36 54 64 -0.480513026350214
+20 0 2 0 0 36 55 64 -0.541756006231661
+20 0 2 0 0 36 56 64 -0.600265134804526
+20 0 2 0 0 36 57 64 -0.655742234657592
+20 0 2 0 0 36 58 64 -0.707866253198014
+20 0 2 0 0 36 59 64 -0.756397244024021
+20 0 2 0 0 36 60 64 -0.801087774733136
+20 0 2 0 0 36 61 64 -0.841691253747751
+20 0 2 0 0 36 62 64 -0.87797569003442
+20 0 2 0 0 36 63 64 -0.909830133557274
+20 0 2 0 0 36 64 64 -0.93692510877847
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 0.998374786391647
+20 0 1 0 0 36 28 64 0.977723010984636
+20 0 1 0 0 36 30 64 0.93675753943423
+20 0 1 0 0 36 32 64 0.877191857509848
+20 0 1 0 0 36 34 64 0.799214426445139
+20 0 1 0 0 36 36 64 0.705580798613965
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+20 0 1 0 0 36 40 64 0.478199041951685
+20 0 1 0 0 36 42 64 0.348300148721269
+20 0 1 0 0 36 44 64 0.211161426859413
+20 0 1 0 0 36 46 64 0.0698210819998447
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+20 0 1 0 0 36 50 64 -0.214146857274123
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+20 0 1 0 0 36 58 64 -0.707866253198014
+20 0 1 0 0 36 60 64 -0.801087774733136
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+20 0 1 0 0 36 64 64 -0.93692510877847
+20 0 1 0 0 36 66 64 -0.976379315113101
+20 0 1 0 0 36 68 64 -0.996270687877265
+20 0 1 0 0 36 70 64 -0.996536814658601
+20 0 1 0 0 36 72 64 -0.97652773862275
+20 0 1 0 0 36 74 64 -0.937293673689101
+20 0 1 0 0 36 76 64 -0.87856363232947
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 -0.215287453156249
+20 0 0 0 0 36 4 64 0.0691220141445007
+20 0 0 0 0 36 8 64 0.347933880063966
+20 0 0 0 0 36 12 64 0.598558212263106
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+20 0 0 0 0 36 48 64 -0.0729922510870682
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+20 0 0 0 0 36 64 64 -0.93692510877847
+20 0 0 0 0 36 68 64 -0.996270687877265
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+20 0 0 0 0 36 76 64 -0.87856363232947
+20 0 0 0 0 36 80 64 -0.709572375563053
+20 0 0 0 0 36 84 64 -0.4821956318103
+20 0 0 0 0 36 88 64 -0.215287453156249
+20 0 0 0 0 36 92 64 0.0691220141445007
+20 0 0 0 0 36 96 64 0.347933880063966
+20 0 0 0 0 36 100 64 0.598558212263106
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 0.468788136197809
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+21 0 2 0 0 36 54 64 -0.550808644150612
+21 0 2 0 0 36 55 64 -0.60885658846184
+21 0 2 0 0 36 56 64 -0.66384060885099
+21 0 2 0 0 36 57 64 -0.715450367793696
+21 0 2 0 0 36 58 64 -0.763406385793024
+21 0 2 0 0 36 59 64 -0.807496008559948
+21 0 2 0 0 36 60 64 -0.84746845848667
+21 0 2 0 0 36 61 64 -0.883108940804001
+21 0 2 0 0 36 62 64 -0.914207612827535
+21 0 2 0 0 36 63 64 -0.940512962722364
+21 0 2 0 0 36 64 64 -0.962100738270559
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 0.394359823480507
+22 0 2 0 0 36 40 64 0.327974741573533
+22 0 2 0 0 36 41 64 0.259897237635725
+22 0 2 0 0 36 42 64 0.190309830191216
+22 0 2 0 0 36 43 64 0.119718361965487
+22 0 2 0 0 36 44 64 0.0485225476909632
+22 0 2 0 0 36 45 64 -0.0229400941073981
+22 0 2 0 0 36 46 64 -0.0942494920292379
+22 0 2 0 0 36 47 64 -0.165059151548044
+22 0 2 0 0 36 48 64 -0.235077198974181
+22 0 2 0 0 36 49 64 -0.303877527290896
+22 0 2 0 0 36 50 64 -0.371062087481448
+22 0 2 0 0 36 51 64 -0.43632169129562
+22 0 2 0 0 36 52 64 -0.499345782554262
+22 0 2 0 0 36 53 64 -0.559802530119909
+22 0 2 0 0 36 54 64 -0.617392599768595
+22 0 2 0 0 36 55 64 -0.671864651221749
+22 0 2 0 0 36 56 64 -0.722947728882228
+22 0 2 0 0 36 57 64 -0.77033874989232
+22 0 2 0 0 36 58 64 -0.813810715622606
+22 0 2 0 0 36 59 64 -0.853151449838056
+22 0 2 0 0 36 60 64 -0.888128036097264
+22 0 2 0 0 36 61 64 -0.918555897078001
+22 0 2 0 0 36 62 64 -0.944229688568624
+22 0 2 0 0 36 63 64 -0.965092771063324
+22 0 2 0 0 36 64 64 -0.98094237056526
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 0.973454558840514
+22 0 1 0 0 36 28 64 0.930236198248491
+22 0 1 0 0 36 30 64 0.866868600458503
+22 0 1 0 0 36 32 64 0.78694970371447
+22 0 1 0 0 36 34 64 0.690529534487072
+22 0 1 0 0 36 36 64 0.580082463388141
+22 0 1 0 0 36 38 64 0.458704302082983
+22 0 1 0 0 36 40 64 0.327974741573533
+22 0 1 0 0 36 42 64 0.190309830191216
+22 0 1 0 0 36 44 64 0.0485225476909632
+22 0 1 0 0 36 46 64 -0.0942494920292379
+22 0 1 0 0 36 48 64 -0.235077198974181
+22 0 1 0 0 36 50 64 -0.371062087481448
+22 0 1 0 0 36 52 64 -0.499345782554262
+22 0 1 0 0 36 54 64 -0.617392599768595
+22 0 1 0 0 36 56 64 -0.722947728882228
+22 0 1 0 0 36 58 64 -0.813810715622606
+22 0 1 0 0 36 60 64 -0.888128036097264
+22 0 1 0 0 36 62 64 -0.944229688568624
+22 0 1 0 0 36 64 64 -0.98094237056526
+22 0 1 0 0 36 66 64 -0.997523330976584
+22 0 1 0 0 36 68 64 -0.994427017093038
+22 0 1 0 0 36 70 64 -0.971409362506947
+22 0 1 0 0 36 72 64 -0.92878072988457
+22 0 1 0 0 36 74 64 -0.868162837830749
+22 0 1 0 0 36 76 64 -0.789558107724621
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 0.317756239117178
+23 0 2 0 0 36 40 64 0.249528015651529
+23 0 2 0 0 36 41 64 0.179717857984635
+23 0 2 0 0 36 42 64 0.109097472498753
+23 0 2 0 0 36 43 64 0.037857492819387
+23 0 2 0 0 36 44 64 -0.03358712331681
+23 0 2 0 0 36 45 64 -0.104867750402533
+23 0 2 0 0 36 46 64 -0.17560642999559
+23 0 2 0 0 36 47 64 -0.245408965276305
+23 0 2 0 0 36 48 64 -0.314000433748907
+23 0 2 0 0 36 49 64 -0.381011195699915
+23 0 2 0 0 36 50 64 -0.446019300324195
+23 0 2 0 0 36 51 64 -0.508691408951752
+23 0 2 0 0 36 52 64 -0.568739566255735
+23 0 2 0 0 36 53 64 -0.625869708369335
+23 0 2 0 0 36 54 64 -0.679821946327272
+23 0 2 0 0 36 55 64 -0.730353580078583
+23 0 2 0 0 36 56 64 -0.777181163154468
+23 0 2 0 0 36 57 64 -0.820035737484578
+23 0 2 0 0 36 58 64 -0.858728021230958
+23 0 2 0 0 36 59 64 -0.893039905200654
+23 0 2 0 0 36 60 64 -0.922781494610527
+23 0 2 0 0 36 61 64 -0.947779372333597
+23 0 2 0 0 36 62 64 -0.96786951605712
+23 0 2 0 0 36 63 64 -0.982922003456484
+23 0 2 0 0 36 64 64 -0.993029200688439
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 0.238490433358788
+24 0 2 0 0 36 40 64 0.168858239240906
+24 0 2 0 0 36 41 64 0.0983448848124306
+24 0 2 0 0 36 42 64 0.0271237637698222
+24 0 2 0 0 36 43 64 -0.0442752304998491
+24 0 2 0 0 36 44 64 -0.115485448171458
+24 0 2 0 0 36 45 64 -0.186108668054717
+24 0 2 0 0 36 46 64 -0.255789603345052
+24 0 2 0 0 36 47 64 -0.324122517854244
+24 0 2 0 0 36 48 64 -0.390814653162212
+24 0 2 0 0 36 49 64 -0.455564291575283
+24 0 2 0 0 36 50 64 -0.517956454948903
+24 0 2 0 0 36 51 64 -0.577625058794832
+24 0 2 0 0 36 52 64 -0.634293653467265
+24 0 2 0 0 36 53 64 -0.687718780640159
+24 0 2 0 0 36 54 64 -0.737676882356734
+24 0 2 0 0 36 55 64 -0.783920739831231
+24 0 2 0 0 36 56 64 -0.826167111962709
+24 0 2 0 0 36 57 64 -0.864197632038272
+24 0 2 0 0 36 58 64 -0.897836080415851
+24 0 2 0 0 36 59 64 -0.926881743333297
+24 0 2 0 0 36 60 64 -0.951185161998946
+24 0 2 0 0 36 61 64 -0.970576629267526
+24 0 2 0 0 36 62 64 -0.984938194823075
+24 0 2 0 0 36 63 64 -0.994276532314856
+24 0 2 0 0 36 64 64 -0.998501496964808
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 0.921829787865551
+24 0 1 0 0 36 28 64 0.8566570012063
+24 0 1 0 0 36 30 64 0.773795289917649
+24 0 1 0 0 36 32 64 0.675383796706542
+24 0 1 0 0 36 34 64 0.563232569856697
+24 0 1 0 0 36 36 64 0.439171501675113
+24 0 1 0 0 36 38 64 0.306934382449034
+24 0 1 0 0 36 40 64 0.168858239240906
+24 0 1 0 0 36 42 64 0.0271237637698222
+24 0 1 0 0 36 44 64 -0.115485448171458
+24 0 1 0 0 36 46 64 -0.255789603345052
+24 0 1 0 0 36 48 64 -0.390814653162212
+24 0 1 0 0 36 50 64 -0.517956454948903
+24 0 1 0 0 36 52 64 -0.634293653467265
+24 0 1 0 0 36 54 64 -0.737676882356734
+24 0 1 0 0 36 56 64 -0.826167111962709
+24 0 1 0 0 36 58 64 -0.897836080415851
+24 0 1 0 0 36 60 64 -0.951185161998946
+24 0 1 0 0 36 62 64 -0.984938194823075
+24 0 1 0 0 36 64 64 -0.998501496964808
+24 0 1 0 0 36 66 64 -0.991939955235644
+24 0 1 0 0 36 68 64 -0.965856027426978
+24 0 1 0 0 36 70 64 -0.920165633607064
+24 0 1 0 0 36 72 64 -0.856148278110248
+24 0 1 0 0 36 74 64 -0.774493088185644
+24 0 1 0 0 36 76 64 -0.677124525857544
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 0.111048514739261
+24 0 0 0 0 36 4 64 0.386939255069172
+24 0 0 0 0 36 8 64 0.631500657946575
+24 0 0 0 0 36 12 64 0.824902054360489
+24 0 0 0 0 36 16 64 0.95146823768893
+24 0 0 0 0 36 20 64 1.00084670357333
+24 0 0 0 0 36 24 64 0.968492283644969
+24 0 0 0 0 36 28 64 0.8566570012063
+24 0 0 0 0 36 32 64 0.675383796706542
+24 0 0 0 0 36 36 64 0.439171501675113
+24 0 0 0 0 36 40 64 0.168858239240906
+24 0 0 0 0 36 44 64 -0.115485448171458
+24 0 0 0 0 36 48 64 -0.390814653162212
+24 0 0 0 0 36 52 64 -0.634293653467265
+24 0 0 0 0 36 56 64 -0.826167111962709
+24 0 0 0 0 36 60 64 -0.951185161998946
+24 0 0 0 0 36 64 64 -0.998501496964808
+24 0 0 0 0 36 68 64 -0.965856027426978
+24 0 0 0 0 36 72 64 -0.856148278110248
+24 0 0 0 0 36 76 64 -0.677124525857544
+24 0 0 0 0 36 80 64 -0.443561198225897
+24 0 0 0 0 36 84 64 -0.173645678061249
+24 0 0 0 0 36 88 64 0.111048514739261
+24 0 0 0 0 36 92 64 0.386939255069172
+24 0 0 0 0 36 96 64 0.631500657946575
+24 0 0 0 0 36 100 64 0.824902054360489
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/phi.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/phi.zl
new file mode 100644
index 000000000..72378c5d6
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/phi.zl
@@ -0,0 +1,1757 @@
+# WAVETOY::phi z (phi)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 0.207911690817761
+0 0 2 0 0 36 48 52 0.309016994374949
+0 0 2 0 0 36 48 53 0.406736643075802
+0 0 2 0 0 36 48 54 0.500000000000001
+0 0 2 0 0 36 48 55 0.587785252292474
+0 0 2 0 0 36 48 56 0.669130606358859
+0 0 2 0 0 36 48 57 0.743144825477395
+0 0 2 0 0 36 48 58 0.809016994374948
+0 0 2 0 0 36 48 59 0.866025403784439
+0 0 2 0 0 36 48 60 0.913545457642601
+0 0 2 0 0 36 48 61 0.951056516295154
+0 0 2 0 0 36 48 62 0.978147600733806
+0 0 2 0 0 36 48 63 0.994521895368273
+0 0 2 0 0 36 48 64 1
+0 0 2 0 0 36 48 65 0.994521895368273
+0 0 2 0 0 36 48 66 0.978147600733806
+0 0 2 0 0 36 48 67 0.951056516295154
+0 0 2 0 0 36 48 68 0.913545457642601
+0 0 2 0 0 36 48 69 0.866025403784439
+0 0 2 0 0 36 48 70 0.809016994374948
+0 0 2 0 0 36 48 71 0.743144825477395
+0 0 2 0 0 36 48 72 0.669130606358859
+0 0 2 0 0 36 48 73 0.587785252292474
+0 0 2 0 0 36 48 74 0.500000000000001
+0 0 2 0 0 36 48 75 0.406736643075801
+0 0 2 0 0 36 48 76 0.309016994374949
+0 0 2 0 0 36 48 77 0.207911690817761
+0 0 2 0 0 36 48 78 0.104528463267655
+0 0 2 0 0 36 48 79 1.61554255216634e-15
+0 0 2 0 0 36 48 80 -0.104528463267652
+0 0 2 0 0 36 48 81 -0.207911690817757
+0 0 2 0 0 36 48 82 -0.309016994374945
+0 0 2 0 0 36 48 83 -0.406736643075798
+0 0 2 0 0 36 48 84 -0.499999999999998
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 -1
+0 0 1 0 0 36 48 36 -0.978147600733805
+0 0 1 0 0 36 48 38 -0.9135454576426
+0 0 1 0 0 36 48 40 -0.809016994374946
+0 0 1 0 0 36 48 42 -0.669130606358856
+0 0 1 0 0 36 48 44 -0.499999999999998
+0 0 1 0 0 36 48 46 -0.309016994374945
+0 0 1 0 0 36 48 48 -0.104528463267652
+0 0 1 0 0 36 48 50 0.104528463267655
+0 0 1 0 0 36 48 52 0.309016994374949
+0 0 1 0 0 36 48 54 0.500000000000001
+0 0 1 0 0 36 48 56 0.669130606358859
+0 0 1 0 0 36 48 58 0.809016994374948
+0 0 1 0 0 36 48 60 0.913545457642601
+0 0 1 0 0 36 48 62 0.978147600733806
+0 0 1 0 0 36 48 64 1
+0 0 1 0 0 36 48 66 0.978147600733806
+0 0 1 0 0 36 48 68 0.913545457642601
+0 0 1 0 0 36 48 70 0.809016994374948
+0 0 1 0 0 36 48 72 0.669130606358859
+0 0 1 0 0 36 48 74 0.500000000000001
+0 0 1 0 0 36 48 76 0.309016994374949
+0 0 1 0 0 36 48 78 0.104528463267655
+0 0 1 0 0 36 48 80 -0.104528463267652
+0 0 1 0 0 36 48 82 -0.309016994374945
+0 0 1 0 0 36 48 84 -0.499999999999998
+0 0 1 0 0 36 48 86 -0.669130606358856
+0 0 1 0 0 36 48 88 -0.809016994374946
+0 0 1 0 0 36 48 90 -0.9135454576426
+0 0 1 0 0 36 48 92 -0.978147600733805
+0 0 1 0 0 36 48 94 -1
+0 0 1 0 0 36 48 96 -0.978147600733806
+0 0 1 0 0 36 48 98 -0.913545457642603
+0 0 1 0 0 36 48 100 -0.80901699437495
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 0.913545457642598
+0 0 0 0 0 36 48 4 1
+0 0 0 0 0 36 48 8 0.913545457642598
+0 0 0 0 0 36 48 12 0.669130606358854
+0 0 0 0 0 36 48 16 0.309016994374941
+0 0 0 0 0 36 48 20 -0.104528463267659
+0 0 0 0 0 36 48 24 -0.500000000000004
+0 0 0 0 0 36 48 28 -0.80901699437495
+0 0 0 0 0 36 48 32 -0.978147600733806
+0 0 0 0 0 36 48 36 -0.978147600733805
+0 0 0 0 0 36 48 40 -0.809016994374946
+0 0 0 0 0 36 48 44 -0.499999999999998
+0 0 0 0 0 36 48 48 -0.104528463267652
+0 0 0 0 0 36 48 52 0.309016994374949
+0 0 0 0 0 36 48 56 0.669130606358859
+0 0 0 0 0 36 48 60 0.913545457642601
+0 0 0 0 0 36 48 64 1
+0 0 0 0 0 36 48 68 0.913545457642601
+0 0 0 0 0 36 48 72 0.669130606358859
+0 0 0 0 0 36 48 76 0.309016994374949
+0 0 0 0 0 36 48 80 -0.104528463267652
+0 0 0 0 0 36 48 84 -0.499999999999998
+0 0 0 0 0 36 48 88 -0.809016994374946
+0 0 0 0 0 36 48 92 -0.978147600733805
+0 0 0 0 0 36 48 96 -0.978147600733806
+0 0 0 0 0 36 48 100 -0.80901699437495
+0 0 0 0 0 36 48 104 -0.500000000000004
+0 0 0 0 0 36 48 108 -0.104528463267659
+0 0 0 0 0 36 48 112 0.309016994374942
+0 0 0 0 0 36 48 116 0.669130606358854
+0 0 0 0 0 36 48 120 0.913545457642598
+0 0 0 0 0 36 48 124 1
+0 0 0 0 0 36 48 128 0.913545457642598
+0 0 0 0 0 36 48 132 0.669130606358854
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 0.287246531626005
+1 0 2 0 0 36 48 52 0.385807961083417
+1 0 2 0 0 36 48 53 0.480376940533401
+1 0 2 0 0 36 48 54 0.569423550281031
+1 0 2 0 0 36 48 55 0.652231436452243
+1 0 2 0 0 36 48 56 0.727893338517481
+1 0 2 0 0 36 48 57 0.795580288844449
+1 0 2 0 0 36 48 58 0.854550695040958
+1 0 2 0 0 36 48 59 0.904158464996369
+1 0 2 0 0 36 48 60 0.943860085601957
+1 0 2 0 0 36 48 61 0.973220577594269
+1 0 2 0 0 36 48 62 0.991918261278959
+1 0 2 0 0 36 48 63 0.999748280920836
+1 0 2 0 0 36 48 64 0.996624849186167
+1 0 2 0 0 36 48 65 0.982582187046657
+1 0 2 0 0 36 48 66 0.957774148847321
+1 0 2 0 0 36 48 67 0.922472536646089
+1 0 2 0 0 36 48 68 0.877064122293574
+1 0 2 0 0 36 48 69 0.822046409879743
+1 0 2 0 0 36 48 70 0.758022184974999
+1 0 2 0 0 36 48 71 0.685692910385329
+1 0 2 0 0 36 48 72 0.605851040779011
+1 0 2 0 0 36 48 73 0.519371340387437
+1 0 2 0 0 36 48 74 0.427201298905138
+1 0 2 0 0 36 48 75 0.330350750594416
+1 0 2 0 0 36 48 76 0.229880810329842
+1 0 2 0 0 36 48 77 0.126892247801642
+1 0 2 0 0 36 48 78 0.0225134272526175
+1 0 2 0 0 36 48 79 -0.0821120551166242
+1 0 2 0 0 36 48 80 -0.185837900626956
+1 0 2 0 0 36 48 81 -0.287527667208938
+1 0 2 0 0 36 48 82 -0.386067220499946
+1 0 2 0 0 36 48 83 -0.480107917274318
+1 0 2 0 0 36 48 84 -0.569190620887254
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 0.365190404822157
+2 0 2 0 0 36 48 52 0.460517568676976
+2 0 2 0 0 36 48 53 0.550708895299778
+2 0 2 0 0 36 48 54 0.635002325801682
+2 0 2 0 0 36 48 55 0.71227372308519
+2 0 2 0 0 36 48 56 0.781741300405717
+2 0 2 0 0 36 48 57 0.842643956449115
+2 0 2 0 0 36 48 58 0.894314428971072
+2 0 2 0 0 36 48 59 0.936186605461897
+2 0 2 0 0 36 48 60 0.967801725593639
+2 0 2 0 0 36 48 61 0.988813407494246
+2 0 2 0 0 36 48 62 0.998991442779838
+2 0 2 0 0 36 48 63 0.998224318765935
+2 0 2 0 0 36 48 64 0.986520440223764
+2 0 2 0 0 36 48 65 0.964008037295827
+2 0 2 0 0 36 48 66 0.930933760579626
+2 0 2 0 0 36 48 67 0.887659978772102
+2 0 2 0 0 36 48 68 0.834660808482357
+2 0 2 0 0 36 48 69 0.772516919710877
+2 0 2 0 0 36 48 70 0.701909173907487
+2 0 2 0 0 36 48 71 0.623611164310828
+2 0 2 0 0 36 48 72 0.538480740298954
+2 0 2 0 0 36 48 73 0.447450608612025
+2 0 2 0 0 36 48 74 0.351518114422084
+2 0 2 0 0 36 48 75 0.251734314210639
+2 0 2 0 0 36 48 76 0.149192460173911
+2 0 2 0 0 36 48 77 0.0450160223229884
+2 0 2 0 0 36 48 78 -0.0596536204887135
+2 0 2 0 0 36 48 79 -0.163669685751018
+2 0 2 0 0 36 48 80 -0.265892551686151
+2 0 2 0 0 36 48 81 -0.365202243183417
+2 0 2 0 0 36 48 82 -0.460443446666113
+2 0 2 0 0 36 48 83 -0.550758048207904
+2 0 2 0 0 36 48 84 -0.635013531983793
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 -0.986070530748317
+2 0 1 0 0 36 48 36 -0.931638917928196
+2 0 1 0 0 36 48 38 -0.83468156831125
+2 0 1 0 0 36 48 40 -0.701927591006387
+2 0 1 0 0 36 48 42 -0.538496009752266
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+2 0 1 0 0 36 48 46 -0.149199599024447
+2 0 1 0 0 36 48 48 0.0596511092490089
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+2 0 1 0 0 36 48 52 0.460517568676976
+2 0 1 0 0 36 48 54 0.635002325801682
+2 0 1 0 0 36 48 56 0.781741300405717
+2 0 1 0 0 36 48 58 0.894314428971072
+2 0 1 0 0 36 48 60 0.967801725593639
+2 0 1 0 0 36 48 62 0.998991442779838
+2 0 1 0 0 36 48 64 0.986520440223764
+2 0 1 0 0 36 48 66 0.930933760579626
+2 0 1 0 0 36 48 68 0.834660808482357
+2 0 1 0 0 36 48 70 0.701909173907487
+2 0 1 0 0 36 48 72 0.538480740298954
+2 0 1 0 0 36 48 74 0.351518114422084
+2 0 1 0 0 36 48 76 0.149192460173911
+2 0 1 0 0 36 48 78 -0.0596536204887135
+2 0 1 0 0 36 48 80 -0.265892551686151
+2 0 1 0 0 36 48 82 -0.460443446666113
+2 0 1 0 0 36 48 84 -0.635013531983793
+2 0 1 0 0 36 48 86 -0.781756356809921
+2 0 1 0 0 36 48 88 -0.894332677560257
+2 0 1 0 0 36 48 90 -0.967822368816891
+2 0 1 0 0 36 48 92 -0.999013578429243
+2 0 1 0 0 36 48 94 -0.986543100865224
+2 0 1 0 0 36 48 96 -0.930955955834373
+2 0 1 0 0 36 48 98 -0.835194239299679
+2 0 1 0 0 36 48 100 -0.703410204762633
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 0.440145279209605
+3 0 2 0 0 36 48 52 0.531614136673926
+3 0 2 0 0 36 48 53 0.617353760944721
+3 0 2 0 0 36 48 54 0.696277331852486
+3 0 2 0 0 36 48 55 0.767506703830372
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+3 0 2 0 0 36 48 67 0.846853898711516
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+3 0 2 0 0 36 48 72 0.467474592375935
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+3 0 2 0 0 36 48 76 0.0674967554661143
+3 0 2 0 0 36 48 77 -0.0371641534688456
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+3 0 2 0 0 36 48 83 -0.617155611468232
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+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 0.512639317101266
+4 0 2 0 0 36 48 52 0.599608225234833
+4 0 2 0 0 36 48 53 0.679812730734834
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+4 0 2 0 0 36 48 61 0.999909319139776
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+4 0 2 0 0 36 48 63 0.975012019981653
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+4 0 2 0 0 36 48 71 0.48726332528719
+4 0 2 0 0 36 48 72 0.393312033881211
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+4 0 2 0 0 36 48 74 0.193558386826365
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+4 0 2 0 0 36 48 76 -0.0146546905289819
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+4 0 2 0 0 36 48 82 -0.599410255600663
+4 0 2 0 0 36 48 83 -0.6798880989909
+4 0 2 0 0 36 48 84 -0.752900203153681
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 -0.946194090397304
+4 0 1 0 0 36 48 36 -0.85903617799375
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+4 0 1 0 0 36 48 66 0.858619526591356
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+4 0 1 0 0 36 48 98 -0.733139283369377
+4 0 1 0 0 36 48 100 -0.576221257556121
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 0.996351822641284
+4 0 0 0 0 36 48 4 0.946867382673999
+4 0 0 0 0 36 48 8 0.733660970222251
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+4 0 0 0 0 36 48 56 0.873274217120339
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+4 0 0 0 0 36 48 112 0.599718028239173
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+4 0 0 0 0 36 48 128 0.733660970222251
+4 0 0 0 0 36 48 132 0.393597910918405
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 0.581185141594806
+5 0 2 0 0 36 48 52 0.663088201723971
+5 0 2 0 0 36 48 53 0.737744418203249
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+5 0 2 0 0 36 48 73 0.215602195983289
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+5 0 2 0 0 36 48 76 -0.0967071873600697
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+5 0 2 0 0 36 48 83 -0.737540052212483
+5 0 2 0 0 36 48 84 -0.80422146682752
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 0.646270732852751
+6 0 2 0 0 36 48 52 0.722524610353248
+6 0 2 0 0 36 48 53 0.790686847212325
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+6 0 2 0 0 36 48 64 0.880844481409608
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+6 0 2 0 0 36 48 83 -0.790671816199257
+6 0 2 0 0 36 48 84 -0.850461349227289
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 -0.881793482530165
+6 0 1 0 0 36 48 36 -0.765078107428074
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+6 0 1 0 0 36 48 100 -0.436744481485664
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 0.706551370897359
+7 0 2 0 0 36 48 52 0.776668011616479
+7 0 2 0 0 36 48 53 0.838324228319248
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+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 0.762466332435153
+8 0 2 0 0 36 48 52 0.825934885349058
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+8 0 2 0 0 36 48 84 -0.925077444389213
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 -0.792120642634996
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+8 0 1 0 0 36 48 100 -0.281881766974512
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 0.97283942200207
+8 0 0 0 0 36 48 4 0.792696388078995
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+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+9 0 2 0 0 36 48 84 -0.953035601860096
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 0.858087972018725
+10 0 2 0 0 36 48 52 0.9070691296136
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+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 -0.68335895924221
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+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 0.897227520843365
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+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 0.930582714866346
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+12 0 2 0 0 36 48 84 -0.998187010386798
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 -0.553430848115621
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+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 0.845517218278481
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+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 0.95743107092183
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+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 0.978003405684816
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+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 -0.255586282700146
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+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 -0.0964015731290592
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+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 0.960500960324481
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+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
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+22 0 2 0 0 36 48 81 -0.901849178402719
+22 0 2 0 0 36 48 82 -0.851853660167526
+22 0 2 0 0 36 48 83 -0.792458039027674
+22 0 2 0 0 36 48 84 -0.724447154953237
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 0.229292951222775
+22 0 1 0 0 36 48 36 0.427139470797743
+22 0 1 0 0 36 48 38 0.607013784455654
+22 0 1 0 0 36 48 40 0.759073779189646
+22 0 1 0 0 36 48 42 0.878070044900489
+22 0 1 0 0 36 48 44 0.95876738320195
+22 0 1 0 0 36 48 46 0.997112083229827
+22 0 1 0 0 36 48 48 0.991427073713411
+22 0 1 0 0 36 48 50 0.942276627518636
+22 0 1 0 0 36 48 52 0.851875823357247
+22 0 1 0 0 36 48 54 0.724294272593976
+22 0 1 0 0 36 48 56 0.565006731358631
+22 0 1 0 0 36 48 58 0.381026981091587
+22 0 1 0 0 36 48 60 0.180409343857639
+22 0 1 0 0 36 48 62 -0.0279905228403511
+22 0 1 0 0 36 48 64 -0.235077198974181
+22 0 1 0 0 36 48 66 -0.431958692577753
+22 0 1 0 0 36 48 68 -0.609973669804458
+22 0 1 0 0 36 48 70 -0.76132722680364
+22 0 1 0 0 36 48 72 -0.879361327801571
+22 0 1 0 0 36 48 74 -0.958856576706932
+22 0 1 0 0 36 48 76 -0.996635634453354
+22 0 1 0 0 36 48 78 -0.99094352389991
+22 0 1 0 0 36 48 80 -0.941963653243366
+22 0 1 0 0 36 48 82 -0.851853660167526
+22 0 1 0 0 36 48 84 -0.724447154953237
+22 0 1 0 0 36 48 86 -0.565404520491667
+22 0 1 0 0 36 48 88 -0.381669612382619
+22 0 1 0 0 36 48 90 -0.1815781846583
+22 0 1 0 0 36 48 92 0.0260281295868706
+22 0 1 0 0 36 48 94 0.232479723256451
+22 0 1 0 0 36 48 96 0.428861985063807
+22 0 1 0 0 36 48 98 0.605635741249441
+22 0 1 0 0 36 48 100 0.758887443604635
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 0.863620243214539
+23 0 2 0 0 36 48 52 0.806179656389319
+23 0 2 0 0 36 48 53 0.739738063328937
+23 0 2 0 0 36 48 54 0.665308730313322
+23 0 2 0 0 36 48 55 0.583574954159795
+23 0 2 0 0 36 48 56 0.495460687880606
+23 0 2 0 0 36 48 57 0.401915355453645
+23 0 2 0 0 36 48 58 0.303961063561434
+23 0 2 0 0 36 48 59 0.202714186909611
+23 0 2 0 0 36 48 60 0.0991959979772189
+23 0 2 0 0 36 48 61 -0.00541277606358988
+23 0 2 0 0 36 48 62 -0.109888890866092
+23 0 2 0 0 36 48 63 -0.21310525410516
+23 0 2 0 0 36 48 64 -0.314000433748907
+23 0 2 0 0 36 48 65 -0.411473103967794
+23 0 2 0 0 36 48 66 -0.504456071993687
+23 0 2 0 0 36 48 67 -0.591910842787222
+23 0 2 0 0 36 48 68 -0.67288670656713
+23 0 2 0 0 36 48 69 -0.746484073525166
+23 0 2 0 0 36 48 70 -0.811903091953876
+23 0 2 0 0 36 48 71 -0.868405800514493
+23 0 2 0 0 36 48 72 -0.915365992427257
+23 0 2 0 0 36 48 73 -0.952263964875659
+23 0 2 0 0 36 48 74 -0.978760707993927
+23 0 2 0 0 36 48 75 -0.99461565667737
+23 0 2 0 0 36 48 76 -0.999619130903159
+23 0 2 0 0 36 48 77 -0.993654809284008
+23 0 2 0 0 36 48 78 -0.976812025925837
+23 0 2 0 0 36 48 79 -0.949257601444199
+23 0 2 0 0 36 48 80 -0.911317965219542
+23 0 2 0 0 36 48 81 -0.863402658979534
+23 0 2 0 0 36 48 82 -0.806021301022166
+23 0 2 0 0 36 48 83 -0.739930422713988
+23 0 2 0 0 36 48 84 -0.665636220381265
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 0.819198285073706
+24 0 2 0 0 36 48 52 0.75476053446761
+24 0 2 0 0 36 48 53 0.682053449190471
+24 0 2 0 0 36 48 54 0.601816132223327
+24 0 2 0 0 36 48 55 0.515001463391326
+24 0 2 0 0 36 48 56 0.422542431596331
+24 0 2 0 0 36 48 57 0.325474754483831
+24 0 2 0 0 36 48 58 0.224826954757412
+24 0 2 0 0 36 48 59 0.121748604182214
+24 0 2 0 0 36 48 60 0.0173093982644531
+24 0 2 0 0 36 48 61 -0.0873684074209021
+24 0 2 0 0 36 48 62 -0.191038767252999
+24 0 2 0 0 36 48 63 -0.292537332844235
+24 0 2 0 0 36 48 64 -0.390814653162212
+24 0 2 0 0 36 48 65 -0.484829244430462
+24 0 2 0 0 36 48 66 -0.573551498523709
+24 0 2 0 0 36 48 67 -0.655996436608184
+24 0 2 0 0 36 48 68 -0.731256850052408
+24 0 2 0 0 36 48 69 -0.798502477132153
+24 0 2 0 0 36 48 70 -0.856991206038435
+24 0 2 0 0 36 48 71 -0.906065729320381
+24 0 2 0 0 36 48 72 -0.945178969520974
+24 0 2 0 0 36 48 73 -0.973929685526802
+24 0 2 0 0 36 48 74 -0.992075590411506
+24 0 2 0 0 36 48 75 -0.999433857823136
+24 0 2 0 0 36 48 76 -0.995846400517507
+24 0 2 0 0 36 48 77 -0.981324997637752
+24 0 2 0 0 36 48 78 -0.956052156063499
+24 0 2 0 0 36 48 79 -0.920304584874099
+24 0 2 0 0 36 48 80 -0.874498954679228
+24 0 2 0 0 36 48 81 -0.819110088410784
+24 0 2 0 0 36 48 82 -0.754767549617531
+24 0 2 0 0 36 48 83 -0.682068274841145
+24 0 2 0 0 36 48 84 -0.601955018245606
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 0.387104283563605
+24 0 1 0 0 36 48 36 0.570798908405235
+24 0 1 0 0 36 48 38 0.72810728577264
+24 0 1 0 0 36 48 40 0.854694335397029
+24 0 1 0 0 36 48 42 0.943760853906887
+24 0 1 0 0 36 48 44 0.991686787648913
+24 0 1 0 0 36 48 46 0.996018830592179
+24 0 1 0 0 36 48 48 0.956381485171403
+24 0 1 0 0 36 48 50 0.874727366842584
+24 0 1 0 0 36 48 52 0.75476053446761
+24 0 1 0 0 36 48 54 0.601816132223327
+24 0 1 0 0 36 48 56 0.422542431596331
+24 0 1 0 0 36 48 58 0.224826954757412
+24 0 1 0 0 36 48 60 0.0173093982644531
+24 0 1 0 0 36 48 62 -0.191038767252999
+24 0 1 0 0 36 48 64 -0.390814653162212
+24 0 1 0 0 36 48 66 -0.573551498523709
+24 0 1 0 0 36 48 68 -0.731256850052408
+24 0 1 0 0 36 48 70 -0.856991206038435
+24 0 1 0 0 36 48 72 -0.945178969520974
+24 0 1 0 0 36 48 74 -0.992075590411506
+24 0 1 0 0 36 48 76 -0.995846400517507
+24 0 1 0 0 36 48 78 -0.956052156063499
+24 0 1 0 0 36 48 80 -0.874498954679228
+24 0 1 0 0 36 48 82 -0.754767549617531
+24 0 1 0 0 36 48 84 -0.601955018245606
+24 0 1 0 0 36 48 86 -0.422858214805153
+24 0 1 0 0 36 48 88 -0.22539326981871
+24 0 1 0 0 36 48 90 -0.01847839475918
+24 0 1 0 0 36 48 92 0.188871409886764
+24 0 1 0 0 36 48 94 0.388027167236795
+24 0 1 0 0 36 48 96 0.570234685272957
+24 0 1 0 0 36 48 98 0.7291533889924
+24 0 1 0 0 36 48 100 0.856471520753886
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 0.0222155989448779
+24 0 0 0 0 36 48 4 -0.386938691789114
+24 0 0 0 0 36 48 8 -0.729187767485107
+24 0 0 0 0 36 48 12 -0.945353653720023
+24 0 0 0 0 36 48 16 -0.998059304958421
+24 0 0 0 0 36 48 20 -0.878191148002866
+24 0 0 0 0 36 48 24 -0.606467149073464
+24 0 0 0 0 36 48 28 -0.229794576802827
+24 0 0 0 0 36 48 32 0.186859080878848
+24 0 0 0 0 36 48 36 0.570798908405235
+24 0 0 0 0 36 48 40 0.854694335397029
+24 0 0 0 0 36 48 44 0.991686787648913
+24 0 0 0 0 36 48 48 0.956381485171403
+24 0 0 0 0 36 48 52 0.75476053446761
+24 0 0 0 0 36 48 56 0.422542431596331
+24 0 0 0 0 36 48 60 0.0173093982644531
+24 0 0 0 0 36 48 64 -0.390814653162212
+24 0 0 0 0 36 48 68 -0.731256850052408
+24 0 0 0 0 36 48 72 -0.945178969520974
+24 0 0 0 0 36 48 76 -0.995846400517507
+24 0 0 0 0 36 48 80 -0.874498954679228
+24 0 0 0 0 36 48 84 -0.601955018245606
+24 0 0 0 0 36 48 88 -0.22539326981871
+24 0 0 0 0 36 48 92 0.188871409886764
+24 0 0 0 0 36 48 96 0.570234685272957
+24 0 0 0 0 36 48 100 0.856471520753886
+24 0 0 0 0 36 48 104 0.99383696506737
+24 0 0 0 0 36 48 108 0.959178666067394
+24 0 0 0 0 36 48 112 0.758925957415777
+24 0 0 0 0 36 48 116 0.427528830735651
+24 0 0 0 0 36 48 120 0.0222155989448779
+24 0 0 0 0 36 48 124 -0.386938691789114
+24 0 0 0 0 36 48 128 -0.729187767485107
+24 0 0 0 0 36 48 132 -0.945353653720023
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/spher3d_r.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/spher3d_r.xl
new file mode 100644
index 000000000..c3584db3f
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/spher3d_r.xl
@@ -0,0 +1,1082 @@
+# GRID::spher3d_r x (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 27 48 64 1.35
+0 0 2 0 0 28 48 64 1.2
+0 0 2 0 0 29 48 64 1.05
+0 0 2 0 0 30 48 64 0.9
+0 0 2 0 0 31 48 64 0.75
+0 0 2 0 0 32 48 64 0.6
+0 0 2 0 0 33 48 64 0.45
+0 0 2 0 0 34 48 64 0.3
+0 0 2 0 0 35 48 64 0.15
+0 0 2 0 0 36 48 64 6.2803698347351e-16
+0 0 2 0 0 37 48 64 0.15
+0 0 2 0 0 38 48 64 0.3
+0 0 2 0 0 39 48 64 0.450000000000001
+0 0 2 0 0 40 48 64 0.600000000000001
+0 0 2 0 0 41 48 64 0.750000000000001
+0 0 2 0 0 42 48 64 0.900000000000001
+0 0 2 0 0 43 48 64 1.05
+0 0 2 0 0 44 48 64 1.2
+0 0 2 0 0 45 48 64 1.35
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 18 48 64 2.7
+0 0 1 0 0 20 48 64 2.4
+0 0 1 0 0 22 48 64 2.1
+0 0 1 0 0 24 48 64 1.8
+0 0 1 0 0 26 48 64 1.5
+0 0 1 0 0 28 48 64 1.2
+0 0 1 0 0 30 48 64 0.9
+0 0 1 0 0 32 48 64 0.6
+0 0 1 0 0 34 48 64 0.3
+0 0 1 0 0 36 48 64 6.2803698347351e-16
+0 0 1 0 0 38 48 64 0.3
+0 0 1 0 0 40 48 64 0.600000000000001
+0 0 1 0 0 42 48 64 0.900000000000001
+0 0 1 0 0 44 48 64 1.2
+0 0 1 0 0 46 48 64 1.5
+0 0 1 0 0 48 48 64 1.8
+0 0 1 0 0 50 48 64 2.1
+0 0 1 0 0 52 48 64 2.4
+0 0 1 0 0 54 48 64 2.7
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 48 64 5.4
+0 0 0 0 0 4 48 64 4.8
+0 0 0 0 0 8 48 64 4.2
+0 0 0 0 0 12 48 64 3.6
+0 0 0 0 0 16 48 64 3
+0 0 0 0 0 20 48 64 2.4
+0 0 0 0 0 24 48 64 1.8
+0 0 0 0 0 28 48 64 1.2
+0 0 0 0 0 32 48 64 0.6
+0 0 0 0 0 36 48 64 6.2803698347351e-16
+0 0 0 0 0 40 48 64 0.600000000000001
+0 0 0 0 0 44 48 64 1.2
+0 0 0 0 0 48 48 64 1.8
+0 0 0 0 0 52 48 64 2.4
+0 0 0 0 0 56 48 64 3
+0 0 0 0 0 60 48 64 3.6
+0 0 0 0 0 64 48 64 4.2
+0 0 0 0 0 68 48 64 4.8
+0 0 0 0 0 72 48 64 5.4
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 27 48 64 1.35
+1 0 2 0 0 28 48 64 1.2
+1 0 2 0 0 29 48 64 1.05
+1 0 2 0 0 30 48 64 0.9
+1 0 2 0 0 31 48 64 0.75
+1 0 2 0 0 32 48 64 0.6
+1 0 2 0 0 33 48 64 0.45
+1 0 2 0 0 34 48 64 0.3
+1 0 2 0 0 35 48 64 0.15
+1 0 2 0 0 36 48 64 6.2803698347351e-16
+1 0 2 0 0 37 48 64 0.15
+1 0 2 0 0 38 48 64 0.3
+1 0 2 0 0 39 48 64 0.450000000000001
+1 0 2 0 0 40 48 64 0.600000000000001
+1 0 2 0 0 41 48 64 0.750000000000001
+1 0 2 0 0 42 48 64 0.900000000000001
+1 0 2 0 0 43 48 64 1.05
+1 0 2 0 0 44 48 64 1.2
+1 0 2 0 0 45 48 64 1.35
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 27 48 64 1.35
+2 0 2 0 0 28 48 64 1.2
+2 0 2 0 0 29 48 64 1.05
+2 0 2 0 0 30 48 64 0.9
+2 0 2 0 0 31 48 64 0.75
+2 0 2 0 0 32 48 64 0.6
+2 0 2 0 0 33 48 64 0.45
+2 0 2 0 0 34 48 64 0.3
+2 0 2 0 0 35 48 64 0.15
+2 0 2 0 0 36 48 64 6.2803698347351e-16
+2 0 2 0 0 37 48 64 0.15
+2 0 2 0 0 38 48 64 0.3
+2 0 2 0 0 39 48 64 0.450000000000001
+2 0 2 0 0 40 48 64 0.600000000000001
+2 0 2 0 0 41 48 64 0.750000000000001
+2 0 2 0 0 42 48 64 0.900000000000001
+2 0 2 0 0 43 48 64 1.05
+2 0 2 0 0 44 48 64 1.2
+2 0 2 0 0 45 48 64 1.35
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 18 48 64 2.7
+2 0 1 0 0 20 48 64 2.4
+2 0 1 0 0 22 48 64 2.1
+2 0 1 0 0 24 48 64 1.8
+2 0 1 0 0 26 48 64 1.5
+2 0 1 0 0 28 48 64 1.2
+2 0 1 0 0 30 48 64 0.9
+2 0 1 0 0 32 48 64 0.6
+2 0 1 0 0 34 48 64 0.3
+2 0 1 0 0 36 48 64 6.2803698347351e-16
+2 0 1 0 0 38 48 64 0.3
+2 0 1 0 0 40 48 64 0.600000000000001
+2 0 1 0 0 42 48 64 0.900000000000001
+2 0 1 0 0 44 48 64 1.2
+2 0 1 0 0 46 48 64 1.5
+2 0 1 0 0 48 48 64 1.8
+2 0 1 0 0 50 48 64 2.1
+2 0 1 0 0 52 48 64 2.4
+2 0 1 0 0 54 48 64 2.7
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 27 48 64 1.35
+3 0 2 0 0 28 48 64 1.2
+3 0 2 0 0 29 48 64 1.05
+3 0 2 0 0 30 48 64 0.9
+3 0 2 0 0 31 48 64 0.75
+3 0 2 0 0 32 48 64 0.6
+3 0 2 0 0 33 48 64 0.45
+3 0 2 0 0 34 48 64 0.3
+3 0 2 0 0 35 48 64 0.15
+3 0 2 0 0 36 48 64 6.2803698347351e-16
+3 0 2 0 0 37 48 64 0.15
+3 0 2 0 0 38 48 64 0.3
+3 0 2 0 0 39 48 64 0.450000000000001
+3 0 2 0 0 40 48 64 0.600000000000001
+3 0 2 0 0 41 48 64 0.750000000000001
+3 0 2 0 0 42 48 64 0.900000000000001
+3 0 2 0 0 43 48 64 1.05
+3 0 2 0 0 44 48 64 1.2
+3 0 2 0 0 45 48 64 1.35
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 27 48 64 1.35
+4 0 2 0 0 28 48 64 1.2
+4 0 2 0 0 29 48 64 1.05
+4 0 2 0 0 30 48 64 0.9
+4 0 2 0 0 31 48 64 0.75
+4 0 2 0 0 32 48 64 0.6
+4 0 2 0 0 33 48 64 0.45
+4 0 2 0 0 34 48 64 0.3
+4 0 2 0 0 35 48 64 0.15
+4 0 2 0 0 36 48 64 6.2803698347351e-16
+4 0 2 0 0 37 48 64 0.15
+4 0 2 0 0 38 48 64 0.3
+4 0 2 0 0 39 48 64 0.450000000000001
+4 0 2 0 0 40 48 64 0.600000000000001
+4 0 2 0 0 41 48 64 0.750000000000001
+4 0 2 0 0 42 48 64 0.900000000000001
+4 0 2 0 0 43 48 64 1.05
+4 0 2 0 0 44 48 64 1.2
+4 0 2 0 0 45 48 64 1.35
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 18 48 64 2.7
+4 0 1 0 0 20 48 64 2.4
+4 0 1 0 0 22 48 64 2.1
+4 0 1 0 0 24 48 64 1.8
+4 0 1 0 0 26 48 64 1.5
+4 0 1 0 0 28 48 64 1.2
+4 0 1 0 0 30 48 64 0.9
+4 0 1 0 0 32 48 64 0.6
+4 0 1 0 0 34 48 64 0.3
+4 0 1 0 0 36 48 64 6.2803698347351e-16
+4 0 1 0 0 38 48 64 0.3
+4 0 1 0 0 40 48 64 0.600000000000001
+4 0 1 0 0 42 48 64 0.900000000000001
+4 0 1 0 0 44 48 64 1.2
+4 0 1 0 0 46 48 64 1.5
+4 0 1 0 0 48 48 64 1.8
+4 0 1 0 0 50 48 64 2.1
+4 0 1 0 0 52 48 64 2.4
+4 0 1 0 0 54 48 64 2.7
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 48 64 5.4
+4 0 0 0 0 4 48 64 4.8
+4 0 0 0 0 8 48 64 4.2
+4 0 0 0 0 12 48 64 3.6
+4 0 0 0 0 16 48 64 3
+4 0 0 0 0 20 48 64 2.4
+4 0 0 0 0 24 48 64 1.8
+4 0 0 0 0 28 48 64 1.2
+4 0 0 0 0 32 48 64 0.6
+4 0 0 0 0 36 48 64 6.2803698347351e-16
+4 0 0 0 0 40 48 64 0.600000000000001
+4 0 0 0 0 44 48 64 1.2
+4 0 0 0 0 48 48 64 1.8
+4 0 0 0 0 52 48 64 2.4
+4 0 0 0 0 56 48 64 3
+4 0 0 0 0 60 48 64 3.6
+4 0 0 0 0 64 48 64 4.2
+4 0 0 0 0 68 48 64 4.8
+4 0 0 0 0 72 48 64 5.4
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 27 48 64 1.35
+5 0 2 0 0 28 48 64 1.2
+5 0 2 0 0 29 48 64 1.05
+5 0 2 0 0 30 48 64 0.9
+5 0 2 0 0 31 48 64 0.75
+5 0 2 0 0 32 48 64 0.6
+5 0 2 0 0 33 48 64 0.45
+5 0 2 0 0 34 48 64 0.3
+5 0 2 0 0 35 48 64 0.15
+5 0 2 0 0 36 48 64 6.2803698347351e-16
+5 0 2 0 0 37 48 64 0.15
+5 0 2 0 0 38 48 64 0.3
+5 0 2 0 0 39 48 64 0.450000000000001
+5 0 2 0 0 40 48 64 0.600000000000001
+5 0 2 0 0 41 48 64 0.750000000000001
+5 0 2 0 0 42 48 64 0.900000000000001
+5 0 2 0 0 43 48 64 1.05
+5 0 2 0 0 44 48 64 1.2
+5 0 2 0 0 45 48 64 1.35
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 27 48 64 1.35
+6 0 2 0 0 28 48 64 1.2
+6 0 2 0 0 29 48 64 1.05
+6 0 2 0 0 30 48 64 0.9
+6 0 2 0 0 31 48 64 0.75
+6 0 2 0 0 32 48 64 0.6
+6 0 2 0 0 33 48 64 0.45
+6 0 2 0 0 34 48 64 0.3
+6 0 2 0 0 35 48 64 0.15
+6 0 2 0 0 36 48 64 6.2803698347351e-16
+6 0 2 0 0 37 48 64 0.15
+6 0 2 0 0 38 48 64 0.3
+6 0 2 0 0 39 48 64 0.450000000000001
+6 0 2 0 0 40 48 64 0.600000000000001
+6 0 2 0 0 41 48 64 0.750000000000001
+6 0 2 0 0 42 48 64 0.900000000000001
+6 0 2 0 0 43 48 64 1.05
+6 0 2 0 0 44 48 64 1.2
+6 0 2 0 0 45 48 64 1.35
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 18 48 64 2.7
+6 0 1 0 0 20 48 64 2.4
+6 0 1 0 0 22 48 64 2.1
+6 0 1 0 0 24 48 64 1.8
+6 0 1 0 0 26 48 64 1.5
+6 0 1 0 0 28 48 64 1.2
+6 0 1 0 0 30 48 64 0.9
+6 0 1 0 0 32 48 64 0.6
+6 0 1 0 0 34 48 64 0.3
+6 0 1 0 0 36 48 64 6.2803698347351e-16
+6 0 1 0 0 38 48 64 0.3
+6 0 1 0 0 40 48 64 0.600000000000001
+6 0 1 0 0 42 48 64 0.900000000000001
+6 0 1 0 0 44 48 64 1.2
+6 0 1 0 0 46 48 64 1.5
+6 0 1 0 0 48 48 64 1.8
+6 0 1 0 0 50 48 64 2.1
+6 0 1 0 0 52 48 64 2.4
+6 0 1 0 0 54 48 64 2.7
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 27 48 64 1.35
+7 0 2 0 0 28 48 64 1.2
+7 0 2 0 0 29 48 64 1.05
+7 0 2 0 0 30 48 64 0.9
+7 0 2 0 0 31 48 64 0.75
+7 0 2 0 0 32 48 64 0.6
+7 0 2 0 0 33 48 64 0.45
+7 0 2 0 0 34 48 64 0.3
+7 0 2 0 0 35 48 64 0.15
+7 0 2 0 0 36 48 64 6.2803698347351e-16
+7 0 2 0 0 37 48 64 0.15
+7 0 2 0 0 38 48 64 0.3
+7 0 2 0 0 39 48 64 0.450000000000001
+7 0 2 0 0 40 48 64 0.600000000000001
+7 0 2 0 0 41 48 64 0.750000000000001
+7 0 2 0 0 42 48 64 0.900000000000001
+7 0 2 0 0 43 48 64 1.05
+7 0 2 0 0 44 48 64 1.2
+7 0 2 0 0 45 48 64 1.35
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 27 48 64 1.35
+8 0 2 0 0 28 48 64 1.2
+8 0 2 0 0 29 48 64 1.05
+8 0 2 0 0 30 48 64 0.9
+8 0 2 0 0 31 48 64 0.75
+8 0 2 0 0 32 48 64 0.6
+8 0 2 0 0 33 48 64 0.45
+8 0 2 0 0 34 48 64 0.3
+8 0 2 0 0 35 48 64 0.15
+8 0 2 0 0 36 48 64 6.2803698347351e-16
+8 0 2 0 0 37 48 64 0.15
+8 0 2 0 0 38 48 64 0.3
+8 0 2 0 0 39 48 64 0.450000000000001
+8 0 2 0 0 40 48 64 0.600000000000001
+8 0 2 0 0 41 48 64 0.750000000000001
+8 0 2 0 0 42 48 64 0.900000000000001
+8 0 2 0 0 43 48 64 1.05
+8 0 2 0 0 44 48 64 1.2
+8 0 2 0 0 45 48 64 1.35
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 18 48 64 2.7
+8 0 1 0 0 20 48 64 2.4
+8 0 1 0 0 22 48 64 2.1
+8 0 1 0 0 24 48 64 1.8
+8 0 1 0 0 26 48 64 1.5
+8 0 1 0 0 28 48 64 1.2
+8 0 1 0 0 30 48 64 0.9
+8 0 1 0 0 32 48 64 0.6
+8 0 1 0 0 34 48 64 0.3
+8 0 1 0 0 36 48 64 6.2803698347351e-16
+8 0 1 0 0 38 48 64 0.3
+8 0 1 0 0 40 48 64 0.600000000000001
+8 0 1 0 0 42 48 64 0.900000000000001
+8 0 1 0 0 44 48 64 1.2
+8 0 1 0 0 46 48 64 1.5
+8 0 1 0 0 48 48 64 1.8
+8 0 1 0 0 50 48 64 2.1
+8 0 1 0 0 52 48 64 2.4
+8 0 1 0 0 54 48 64 2.7
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 0 48 64 5.4
+8 0 0 0 0 4 48 64 4.8
+8 0 0 0 0 8 48 64 4.2
+8 0 0 0 0 12 48 64 3.6
+8 0 0 0 0 16 48 64 3
+8 0 0 0 0 20 48 64 2.4
+8 0 0 0 0 24 48 64 1.8
+8 0 0 0 0 28 48 64 1.2
+8 0 0 0 0 32 48 64 0.6
+8 0 0 0 0 36 48 64 6.2803698347351e-16
+8 0 0 0 0 40 48 64 0.600000000000001
+8 0 0 0 0 44 48 64 1.2
+8 0 0 0 0 48 48 64 1.8
+8 0 0 0 0 52 48 64 2.4
+8 0 0 0 0 56 48 64 3
+8 0 0 0 0 60 48 64 3.6
+8 0 0 0 0 64 48 64 4.2
+8 0 0 0 0 68 48 64 4.8
+8 0 0 0 0 72 48 64 5.4
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 27 48 64 1.35
+9 0 2 0 0 28 48 64 1.2
+9 0 2 0 0 29 48 64 1.05
+9 0 2 0 0 30 48 64 0.9
+9 0 2 0 0 31 48 64 0.75
+9 0 2 0 0 32 48 64 0.6
+9 0 2 0 0 33 48 64 0.45
+9 0 2 0 0 34 48 64 0.3
+9 0 2 0 0 35 48 64 0.15
+9 0 2 0 0 36 48 64 6.2803698347351e-16
+9 0 2 0 0 37 48 64 0.15
+9 0 2 0 0 38 48 64 0.3
+9 0 2 0 0 39 48 64 0.450000000000001
+9 0 2 0 0 40 48 64 0.600000000000001
+9 0 2 0 0 41 48 64 0.750000000000001
+9 0 2 0 0 42 48 64 0.900000000000001
+9 0 2 0 0 43 48 64 1.05
+9 0 2 0 0 44 48 64 1.2
+9 0 2 0 0 45 48 64 1.35
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 27 48 64 1.35
+10 0 2 0 0 28 48 64 1.2
+10 0 2 0 0 29 48 64 1.05
+10 0 2 0 0 30 48 64 0.9
+10 0 2 0 0 31 48 64 0.75
+10 0 2 0 0 32 48 64 0.6
+10 0 2 0 0 33 48 64 0.45
+10 0 2 0 0 34 48 64 0.3
+10 0 2 0 0 35 48 64 0.15
+10 0 2 0 0 36 48 64 6.2803698347351e-16
+10 0 2 0 0 37 48 64 0.15
+10 0 2 0 0 38 48 64 0.3
+10 0 2 0 0 39 48 64 0.450000000000001
+10 0 2 0 0 40 48 64 0.600000000000001
+10 0 2 0 0 41 48 64 0.750000000000001
+10 0 2 0 0 42 48 64 0.900000000000001
+10 0 2 0 0 43 48 64 1.05
+10 0 2 0 0 44 48 64 1.2
+10 0 2 0 0 45 48 64 1.35
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 18 48 64 2.7
+10 0 1 0 0 20 48 64 2.4
+10 0 1 0 0 22 48 64 2.1
+10 0 1 0 0 24 48 64 1.8
+10 0 1 0 0 26 48 64 1.5
+10 0 1 0 0 28 48 64 1.2
+10 0 1 0 0 30 48 64 0.9
+10 0 1 0 0 32 48 64 0.6
+10 0 1 0 0 34 48 64 0.3
+10 0 1 0 0 36 48 64 6.2803698347351e-16
+10 0 1 0 0 38 48 64 0.3
+10 0 1 0 0 40 48 64 0.600000000000001
+10 0 1 0 0 42 48 64 0.900000000000001
+10 0 1 0 0 44 48 64 1.2
+10 0 1 0 0 46 48 64 1.5
+10 0 1 0 0 48 48 64 1.8
+10 0 1 0 0 50 48 64 2.1
+10 0 1 0 0 52 48 64 2.4
+10 0 1 0 0 54 48 64 2.7
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 27 48 64 1.35
+11 0 2 0 0 28 48 64 1.2
+11 0 2 0 0 29 48 64 1.05
+11 0 2 0 0 30 48 64 0.9
+11 0 2 0 0 31 48 64 0.75
+11 0 2 0 0 32 48 64 0.6
+11 0 2 0 0 33 48 64 0.45
+11 0 2 0 0 34 48 64 0.3
+11 0 2 0 0 35 48 64 0.15
+11 0 2 0 0 36 48 64 6.2803698347351e-16
+11 0 2 0 0 37 48 64 0.15
+11 0 2 0 0 38 48 64 0.3
+11 0 2 0 0 39 48 64 0.450000000000001
+11 0 2 0 0 40 48 64 0.600000000000001
+11 0 2 0 0 41 48 64 0.750000000000001
+11 0 2 0 0 42 48 64 0.900000000000001
+11 0 2 0 0 43 48 64 1.05
+11 0 2 0 0 44 48 64 1.2
+11 0 2 0 0 45 48 64 1.35
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 27 48 64 1.35
+12 0 2 0 0 28 48 64 1.2
+12 0 2 0 0 29 48 64 1.05
+12 0 2 0 0 30 48 64 0.9
+12 0 2 0 0 31 48 64 0.75
+12 0 2 0 0 32 48 64 0.6
+12 0 2 0 0 33 48 64 0.45
+12 0 2 0 0 34 48 64 0.3
+12 0 2 0 0 35 48 64 0.15
+12 0 2 0 0 36 48 64 6.2803698347351e-16
+12 0 2 0 0 37 48 64 0.15
+12 0 2 0 0 38 48 64 0.3
+12 0 2 0 0 39 48 64 0.450000000000001
+12 0 2 0 0 40 48 64 0.600000000000001
+12 0 2 0 0 41 48 64 0.750000000000001
+12 0 2 0 0 42 48 64 0.900000000000001
+12 0 2 0 0 43 48 64 1.05
+12 0 2 0 0 44 48 64 1.2
+12 0 2 0 0 45 48 64 1.35
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 18 48 64 2.7
+12 0 1 0 0 20 48 64 2.4
+12 0 1 0 0 22 48 64 2.1
+12 0 1 0 0 24 48 64 1.8
+12 0 1 0 0 26 48 64 1.5
+12 0 1 0 0 28 48 64 1.2
+12 0 1 0 0 30 48 64 0.9
+12 0 1 0 0 32 48 64 0.6
+12 0 1 0 0 34 48 64 0.3
+12 0 1 0 0 36 48 64 6.2803698347351e-16
+12 0 1 0 0 38 48 64 0.3
+12 0 1 0 0 40 48 64 0.600000000000001
+12 0 1 0 0 42 48 64 0.900000000000001
+12 0 1 0 0 44 48 64 1.2
+12 0 1 0 0 46 48 64 1.5
+12 0 1 0 0 48 48 64 1.8
+12 0 1 0 0 50 48 64 2.1
+12 0 1 0 0 52 48 64 2.4
+12 0 1 0 0 54 48 64 2.7
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 0 48 64 5.4
+12 0 0 0 0 4 48 64 4.8
+12 0 0 0 0 8 48 64 4.2
+12 0 0 0 0 12 48 64 3.6
+12 0 0 0 0 16 48 64 3
+12 0 0 0 0 20 48 64 2.4
+12 0 0 0 0 24 48 64 1.8
+12 0 0 0 0 28 48 64 1.2
+12 0 0 0 0 32 48 64 0.6
+12 0 0 0 0 36 48 64 6.2803698347351e-16
+12 0 0 0 0 40 48 64 0.600000000000001
+12 0 0 0 0 44 48 64 1.2
+12 0 0 0 0 48 48 64 1.8
+12 0 0 0 0 52 48 64 2.4
+12 0 0 0 0 56 48 64 3
+12 0 0 0 0 60 48 64 3.6
+12 0 0 0 0 64 48 64 4.2
+12 0 0 0 0 68 48 64 4.8
+12 0 0 0 0 72 48 64 5.4
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 27 48 64 1.35
+13 0 2 0 0 28 48 64 1.2
+13 0 2 0 0 29 48 64 1.05
+13 0 2 0 0 30 48 64 0.9
+13 0 2 0 0 31 48 64 0.75
+13 0 2 0 0 32 48 64 0.6
+13 0 2 0 0 33 48 64 0.45
+13 0 2 0 0 34 48 64 0.3
+13 0 2 0 0 35 48 64 0.15
+13 0 2 0 0 36 48 64 6.2803698347351e-16
+13 0 2 0 0 37 48 64 0.15
+13 0 2 0 0 38 48 64 0.3
+13 0 2 0 0 39 48 64 0.450000000000001
+13 0 2 0 0 40 48 64 0.600000000000001
+13 0 2 0 0 41 48 64 0.750000000000001
+13 0 2 0 0 42 48 64 0.900000000000001
+13 0 2 0 0 43 48 64 1.05
+13 0 2 0 0 44 48 64 1.2
+13 0 2 0 0 45 48 64 1.35
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 27 48 64 1.35
+14 0 2 0 0 28 48 64 1.2
+14 0 2 0 0 29 48 64 1.05
+14 0 2 0 0 30 48 64 0.9
+14 0 2 0 0 31 48 64 0.75
+14 0 2 0 0 32 48 64 0.6
+14 0 2 0 0 33 48 64 0.45
+14 0 2 0 0 34 48 64 0.3
+14 0 2 0 0 35 48 64 0.15
+14 0 2 0 0 36 48 64 6.2803698347351e-16
+14 0 2 0 0 37 48 64 0.15
+14 0 2 0 0 38 48 64 0.3
+14 0 2 0 0 39 48 64 0.450000000000001
+14 0 2 0 0 40 48 64 0.600000000000001
+14 0 2 0 0 41 48 64 0.750000000000001
+14 0 2 0 0 42 48 64 0.900000000000001
+14 0 2 0 0 43 48 64 1.05
+14 0 2 0 0 44 48 64 1.2
+14 0 2 0 0 45 48 64 1.35
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 18 48 64 2.7
+14 0 1 0 0 20 48 64 2.4
+14 0 1 0 0 22 48 64 2.1
+14 0 1 0 0 24 48 64 1.8
+14 0 1 0 0 26 48 64 1.5
+14 0 1 0 0 28 48 64 1.2
+14 0 1 0 0 30 48 64 0.9
+14 0 1 0 0 32 48 64 0.6
+14 0 1 0 0 34 48 64 0.3
+14 0 1 0 0 36 48 64 6.2803698347351e-16
+14 0 1 0 0 38 48 64 0.3
+14 0 1 0 0 40 48 64 0.600000000000001
+14 0 1 0 0 42 48 64 0.900000000000001
+14 0 1 0 0 44 48 64 1.2
+14 0 1 0 0 46 48 64 1.5
+14 0 1 0 0 48 48 64 1.8
+14 0 1 0 0 50 48 64 2.1
+14 0 1 0 0 52 48 64 2.4
+14 0 1 0 0 54 48 64 2.7
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 27 48 64 1.35
+15 0 2 0 0 28 48 64 1.2
+15 0 2 0 0 29 48 64 1.05
+15 0 2 0 0 30 48 64 0.9
+15 0 2 0 0 31 48 64 0.75
+15 0 2 0 0 32 48 64 0.6
+15 0 2 0 0 33 48 64 0.45
+15 0 2 0 0 34 48 64 0.3
+15 0 2 0 0 35 48 64 0.15
+15 0 2 0 0 36 48 64 6.2803698347351e-16
+15 0 2 0 0 37 48 64 0.15
+15 0 2 0 0 38 48 64 0.3
+15 0 2 0 0 39 48 64 0.450000000000001
+15 0 2 0 0 40 48 64 0.600000000000001
+15 0 2 0 0 41 48 64 0.750000000000001
+15 0 2 0 0 42 48 64 0.900000000000001
+15 0 2 0 0 43 48 64 1.05
+15 0 2 0 0 44 48 64 1.2
+15 0 2 0 0 45 48 64 1.35
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 27 48 64 1.35
+16 0 2 0 0 28 48 64 1.2
+16 0 2 0 0 29 48 64 1.05
+16 0 2 0 0 30 48 64 0.9
+16 0 2 0 0 31 48 64 0.75
+16 0 2 0 0 32 48 64 0.6
+16 0 2 0 0 33 48 64 0.45
+16 0 2 0 0 34 48 64 0.3
+16 0 2 0 0 35 48 64 0.15
+16 0 2 0 0 36 48 64 6.2803698347351e-16
+16 0 2 0 0 37 48 64 0.15
+16 0 2 0 0 38 48 64 0.3
+16 0 2 0 0 39 48 64 0.450000000000001
+16 0 2 0 0 40 48 64 0.600000000000001
+16 0 2 0 0 41 48 64 0.750000000000001
+16 0 2 0 0 42 48 64 0.900000000000001
+16 0 2 0 0 43 48 64 1.05
+16 0 2 0 0 44 48 64 1.2
+16 0 2 0 0 45 48 64 1.35
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 18 48 64 2.7
+16 0 1 0 0 20 48 64 2.4
+16 0 1 0 0 22 48 64 2.1
+16 0 1 0 0 24 48 64 1.8
+16 0 1 0 0 26 48 64 1.5
+16 0 1 0 0 28 48 64 1.2
+16 0 1 0 0 30 48 64 0.9
+16 0 1 0 0 32 48 64 0.6
+16 0 1 0 0 34 48 64 0.3
+16 0 1 0 0 36 48 64 6.2803698347351e-16
+16 0 1 0 0 38 48 64 0.3
+16 0 1 0 0 40 48 64 0.600000000000001
+16 0 1 0 0 42 48 64 0.900000000000001
+16 0 1 0 0 44 48 64 1.2
+16 0 1 0 0 46 48 64 1.5
+16 0 1 0 0 48 48 64 1.8
+16 0 1 0 0 50 48 64 2.1
+16 0 1 0 0 52 48 64 2.4
+16 0 1 0 0 54 48 64 2.7
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 0 48 64 5.4
+16 0 0 0 0 4 48 64 4.8
+16 0 0 0 0 8 48 64 4.2
+16 0 0 0 0 12 48 64 3.6
+16 0 0 0 0 16 48 64 3
+16 0 0 0 0 20 48 64 2.4
+16 0 0 0 0 24 48 64 1.8
+16 0 0 0 0 28 48 64 1.2
+16 0 0 0 0 32 48 64 0.6
+16 0 0 0 0 36 48 64 6.2803698347351e-16
+16 0 0 0 0 40 48 64 0.600000000000001
+16 0 0 0 0 44 48 64 1.2
+16 0 0 0 0 48 48 64 1.8
+16 0 0 0 0 52 48 64 2.4
+16 0 0 0 0 56 48 64 3
+16 0 0 0 0 60 48 64 3.6
+16 0 0 0 0 64 48 64 4.2
+16 0 0 0 0 68 48 64 4.8
+16 0 0 0 0 72 48 64 5.4
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 27 48 64 1.35
+17 0 2 0 0 28 48 64 1.2
+17 0 2 0 0 29 48 64 1.05
+17 0 2 0 0 30 48 64 0.9
+17 0 2 0 0 31 48 64 0.75
+17 0 2 0 0 32 48 64 0.6
+17 0 2 0 0 33 48 64 0.45
+17 0 2 0 0 34 48 64 0.3
+17 0 2 0 0 35 48 64 0.15
+17 0 2 0 0 36 48 64 6.2803698347351e-16
+17 0 2 0 0 37 48 64 0.15
+17 0 2 0 0 38 48 64 0.3
+17 0 2 0 0 39 48 64 0.450000000000001
+17 0 2 0 0 40 48 64 0.600000000000001
+17 0 2 0 0 41 48 64 0.750000000000001
+17 0 2 0 0 42 48 64 0.900000000000001
+17 0 2 0 0 43 48 64 1.05
+17 0 2 0 0 44 48 64 1.2
+17 0 2 0 0 45 48 64 1.35
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 27 48 64 1.35
+18 0 2 0 0 28 48 64 1.2
+18 0 2 0 0 29 48 64 1.05
+18 0 2 0 0 30 48 64 0.9
+18 0 2 0 0 31 48 64 0.75
+18 0 2 0 0 32 48 64 0.6
+18 0 2 0 0 33 48 64 0.45
+18 0 2 0 0 34 48 64 0.3
+18 0 2 0 0 35 48 64 0.15
+18 0 2 0 0 36 48 64 6.2803698347351e-16
+18 0 2 0 0 37 48 64 0.15
+18 0 2 0 0 38 48 64 0.3
+18 0 2 0 0 39 48 64 0.450000000000001
+18 0 2 0 0 40 48 64 0.600000000000001
+18 0 2 0 0 41 48 64 0.750000000000001
+18 0 2 0 0 42 48 64 0.900000000000001
+18 0 2 0 0 43 48 64 1.05
+18 0 2 0 0 44 48 64 1.2
+18 0 2 0 0 45 48 64 1.35
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 18 48 64 2.7
+18 0 1 0 0 20 48 64 2.4
+18 0 1 0 0 22 48 64 2.1
+18 0 1 0 0 24 48 64 1.8
+18 0 1 0 0 26 48 64 1.5
+18 0 1 0 0 28 48 64 1.2
+18 0 1 0 0 30 48 64 0.9
+18 0 1 0 0 32 48 64 0.6
+18 0 1 0 0 34 48 64 0.3
+18 0 1 0 0 36 48 64 6.2803698347351e-16
+18 0 1 0 0 38 48 64 0.3
+18 0 1 0 0 40 48 64 0.600000000000001
+18 0 1 0 0 42 48 64 0.900000000000001
+18 0 1 0 0 44 48 64 1.2
+18 0 1 0 0 46 48 64 1.5
+18 0 1 0 0 48 48 64 1.8
+18 0 1 0 0 50 48 64 2.1
+18 0 1 0 0 52 48 64 2.4
+18 0 1 0 0 54 48 64 2.7
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 27 48 64 1.35
+19 0 2 0 0 28 48 64 1.2
+19 0 2 0 0 29 48 64 1.05
+19 0 2 0 0 30 48 64 0.9
+19 0 2 0 0 31 48 64 0.75
+19 0 2 0 0 32 48 64 0.6
+19 0 2 0 0 33 48 64 0.45
+19 0 2 0 0 34 48 64 0.3
+19 0 2 0 0 35 48 64 0.15
+19 0 2 0 0 36 48 64 6.2803698347351e-16
+19 0 2 0 0 37 48 64 0.15
+19 0 2 0 0 38 48 64 0.3
+19 0 2 0 0 39 48 64 0.450000000000001
+19 0 2 0 0 40 48 64 0.600000000000001
+19 0 2 0 0 41 48 64 0.750000000000001
+19 0 2 0 0 42 48 64 0.900000000000001
+19 0 2 0 0 43 48 64 1.05
+19 0 2 0 0 44 48 64 1.2
+19 0 2 0 0 45 48 64 1.35
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 27 48 64 1.35
+20 0 2 0 0 28 48 64 1.2
+20 0 2 0 0 29 48 64 1.05
+20 0 2 0 0 30 48 64 0.9
+20 0 2 0 0 31 48 64 0.75
+20 0 2 0 0 32 48 64 0.6
+20 0 2 0 0 33 48 64 0.45
+20 0 2 0 0 34 48 64 0.3
+20 0 2 0 0 35 48 64 0.15
+20 0 2 0 0 36 48 64 6.2803698347351e-16
+20 0 2 0 0 37 48 64 0.15
+20 0 2 0 0 38 48 64 0.3
+20 0 2 0 0 39 48 64 0.450000000000001
+20 0 2 0 0 40 48 64 0.600000000000001
+20 0 2 0 0 41 48 64 0.750000000000001
+20 0 2 0 0 42 48 64 0.900000000000001
+20 0 2 0 0 43 48 64 1.05
+20 0 2 0 0 44 48 64 1.2
+20 0 2 0 0 45 48 64 1.35
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 18 48 64 2.7
+20 0 1 0 0 20 48 64 2.4
+20 0 1 0 0 22 48 64 2.1
+20 0 1 0 0 24 48 64 1.8
+20 0 1 0 0 26 48 64 1.5
+20 0 1 0 0 28 48 64 1.2
+20 0 1 0 0 30 48 64 0.9
+20 0 1 0 0 32 48 64 0.6
+20 0 1 0 0 34 48 64 0.3
+20 0 1 0 0 36 48 64 6.2803698347351e-16
+20 0 1 0 0 38 48 64 0.3
+20 0 1 0 0 40 48 64 0.600000000000001
+20 0 1 0 0 42 48 64 0.900000000000001
+20 0 1 0 0 44 48 64 1.2
+20 0 1 0 0 46 48 64 1.5
+20 0 1 0 0 48 48 64 1.8
+20 0 1 0 0 50 48 64 2.1
+20 0 1 0 0 52 48 64 2.4
+20 0 1 0 0 54 48 64 2.7
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 0 48 64 5.4
+20 0 0 0 0 4 48 64 4.8
+20 0 0 0 0 8 48 64 4.2
+20 0 0 0 0 12 48 64 3.6
+20 0 0 0 0 16 48 64 3
+20 0 0 0 0 20 48 64 2.4
+20 0 0 0 0 24 48 64 1.8
+20 0 0 0 0 28 48 64 1.2
+20 0 0 0 0 32 48 64 0.6
+20 0 0 0 0 36 48 64 6.2803698347351e-16
+20 0 0 0 0 40 48 64 0.600000000000001
+20 0 0 0 0 44 48 64 1.2
+20 0 0 0 0 48 48 64 1.8
+20 0 0 0 0 52 48 64 2.4
+20 0 0 0 0 56 48 64 3
+20 0 0 0 0 60 48 64 3.6
+20 0 0 0 0 64 48 64 4.2
+20 0 0 0 0 68 48 64 4.8
+20 0 0 0 0 72 48 64 5.4
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 27 48 64 1.35
+21 0 2 0 0 28 48 64 1.2
+21 0 2 0 0 29 48 64 1.05
+21 0 2 0 0 30 48 64 0.9
+21 0 2 0 0 31 48 64 0.75
+21 0 2 0 0 32 48 64 0.6
+21 0 2 0 0 33 48 64 0.45
+21 0 2 0 0 34 48 64 0.3
+21 0 2 0 0 35 48 64 0.15
+21 0 2 0 0 36 48 64 6.2803698347351e-16
+21 0 2 0 0 37 48 64 0.15
+21 0 2 0 0 38 48 64 0.3
+21 0 2 0 0 39 48 64 0.450000000000001
+21 0 2 0 0 40 48 64 0.600000000000001
+21 0 2 0 0 41 48 64 0.750000000000001
+21 0 2 0 0 42 48 64 0.900000000000001
+21 0 2 0 0 43 48 64 1.05
+21 0 2 0 0 44 48 64 1.2
+21 0 2 0 0 45 48 64 1.35
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 27 48 64 1.35
+22 0 2 0 0 28 48 64 1.2
+22 0 2 0 0 29 48 64 1.05
+22 0 2 0 0 30 48 64 0.9
+22 0 2 0 0 31 48 64 0.75
+22 0 2 0 0 32 48 64 0.6
+22 0 2 0 0 33 48 64 0.45
+22 0 2 0 0 34 48 64 0.3
+22 0 2 0 0 35 48 64 0.15
+22 0 2 0 0 36 48 64 6.2803698347351e-16
+22 0 2 0 0 37 48 64 0.15
+22 0 2 0 0 38 48 64 0.3
+22 0 2 0 0 39 48 64 0.450000000000001
+22 0 2 0 0 40 48 64 0.600000000000001
+22 0 2 0 0 41 48 64 0.750000000000001
+22 0 2 0 0 42 48 64 0.900000000000001
+22 0 2 0 0 43 48 64 1.05
+22 0 2 0 0 44 48 64 1.2
+22 0 2 0 0 45 48 64 1.35
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 18 48 64 2.7
+22 0 1 0 0 20 48 64 2.4
+22 0 1 0 0 22 48 64 2.1
+22 0 1 0 0 24 48 64 1.8
+22 0 1 0 0 26 48 64 1.5
+22 0 1 0 0 28 48 64 1.2
+22 0 1 0 0 30 48 64 0.9
+22 0 1 0 0 32 48 64 0.6
+22 0 1 0 0 34 48 64 0.3
+22 0 1 0 0 36 48 64 6.2803698347351e-16
+22 0 1 0 0 38 48 64 0.3
+22 0 1 0 0 40 48 64 0.600000000000001
+22 0 1 0 0 42 48 64 0.900000000000001
+22 0 1 0 0 44 48 64 1.2
+22 0 1 0 0 46 48 64 1.5
+22 0 1 0 0 48 48 64 1.8
+22 0 1 0 0 50 48 64 2.1
+22 0 1 0 0 52 48 64 2.4
+22 0 1 0 0 54 48 64 2.7
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 27 48 64 1.35
+23 0 2 0 0 28 48 64 1.2
+23 0 2 0 0 29 48 64 1.05
+23 0 2 0 0 30 48 64 0.9
+23 0 2 0 0 31 48 64 0.75
+23 0 2 0 0 32 48 64 0.6
+23 0 2 0 0 33 48 64 0.45
+23 0 2 0 0 34 48 64 0.3
+23 0 2 0 0 35 48 64 0.15
+23 0 2 0 0 36 48 64 6.2803698347351e-16
+23 0 2 0 0 37 48 64 0.15
+23 0 2 0 0 38 48 64 0.3
+23 0 2 0 0 39 48 64 0.450000000000001
+23 0 2 0 0 40 48 64 0.600000000000001
+23 0 2 0 0 41 48 64 0.750000000000001
+23 0 2 0 0 42 48 64 0.900000000000001
+23 0 2 0 0 43 48 64 1.05
+23 0 2 0 0 44 48 64 1.2
+23 0 2 0 0 45 48 64 1.35
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 27 48 64 1.35
+24 0 2 0 0 28 48 64 1.2
+24 0 2 0 0 29 48 64 1.05
+24 0 2 0 0 30 48 64 0.9
+24 0 2 0 0 31 48 64 0.75
+24 0 2 0 0 32 48 64 0.6
+24 0 2 0 0 33 48 64 0.45
+24 0 2 0 0 34 48 64 0.3
+24 0 2 0 0 35 48 64 0.15
+24 0 2 0 0 36 48 64 6.2803698347351e-16
+24 0 2 0 0 37 48 64 0.15
+24 0 2 0 0 38 48 64 0.3
+24 0 2 0 0 39 48 64 0.450000000000001
+24 0 2 0 0 40 48 64 0.600000000000001
+24 0 2 0 0 41 48 64 0.750000000000001
+24 0 2 0 0 42 48 64 0.900000000000001
+24 0 2 0 0 43 48 64 1.05
+24 0 2 0 0 44 48 64 1.2
+24 0 2 0 0 45 48 64 1.35
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 18 48 64 2.7
+24 0 1 0 0 20 48 64 2.4
+24 0 1 0 0 22 48 64 2.1
+24 0 1 0 0 24 48 64 1.8
+24 0 1 0 0 26 48 64 1.5
+24 0 1 0 0 28 48 64 1.2
+24 0 1 0 0 30 48 64 0.9
+24 0 1 0 0 32 48 64 0.6
+24 0 1 0 0 34 48 64 0.3
+24 0 1 0 0 36 48 64 6.2803698347351e-16
+24 0 1 0 0 38 48 64 0.3
+24 0 1 0 0 40 48 64 0.600000000000001
+24 0 1 0 0 42 48 64 0.900000000000001
+24 0 1 0 0 44 48 64 1.2
+24 0 1 0 0 46 48 64 1.5
+24 0 1 0 0 48 48 64 1.8
+24 0 1 0 0 50 48 64 2.1
+24 0 1 0 0 52 48 64 2.4
+24 0 1 0 0 54 48 64 2.7
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 0 48 64 5.4
+24 0 0 0 0 4 48 64 4.8
+24 0 0 0 0 8 48 64 4.2
+24 0 0 0 0 12 48 64 3.6
+24 0 0 0 0 16 48 64 3
+24 0 0 0 0 20 48 64 2.4
+24 0 0 0 0 24 48 64 1.8
+24 0 0 0 0 28 48 64 1.2
+24 0 0 0 0 32 48 64 0.6
+24 0 0 0 0 36 48 64 6.2803698347351e-16
+24 0 0 0 0 40 48 64 0.600000000000001
+24 0 0 0 0 44 48 64 1.2
+24 0 0 0 0 48 48 64 1.8
+24 0 0 0 0 52 48 64 2.4
+24 0 0 0 0 56 48 64 3
+24 0 0 0 0 60 48 64 3.6
+24 0 0 0 0 64 48 64 4.2
+24 0 0 0 0 68 48 64 4.8
+24 0 0 0 0 72 48 64 5.4
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/spher3d_r.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/spher3d_r.yl
new file mode 100644
index 000000000..f281181d4
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/spher3d_r.yl
@@ -0,0 +1,1397 @@
+# GRID::spher3d_r y (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 39 64 1.35
+0 0 2 0 0 36 40 64 1.2
+0 0 2 0 0 36 41 64 1.05
+0 0 2 0 0 36 42 64 0.9
+0 0 2 0 0 36 43 64 0.75
+0 0 2 0 0 36 44 64 0.6
+0 0 2 0 0 36 45 64 0.45
+0 0 2 0 0 36 46 64 0.3
+0 0 2 0 0 36 47 64 0.15
+0 0 2 0 0 36 48 64 6.2803698347351e-16
+0 0 2 0 0 36 49 64 0.15
+0 0 2 0 0 36 50 64 0.3
+0 0 2 0 0 36 51 64 0.45
+0 0 2 0 0 36 52 64 0.6
+0 0 2 0 0 36 53 64 0.75
+0 0 2 0 0 36 54 64 0.899999999999999
+0 0 2 0 0 36 55 64 1.05
+0 0 2 0 0 36 56 64 1.2
+0 0 2 0 0 36 57 64 1.35
+0 0 2 0 0 36 58 64 1.5
+0 0 2 0 0 36 59 64 1.65
+0 0 2 0 0 36 60 64 1.8
+0 0 2 0 0 36 61 64 1.95
+0 0 2 0 0 36 62 64 2.1
+0 0 2 0 0 36 63 64 2.25
+0 0 2 0 0 36 64 64 2.4
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 26 64 3.3
+0 0 1 0 0 36 28 64 3
+0 0 1 0 0 36 30 64 2.7
+0 0 1 0 0 36 32 64 2.4
+0 0 1 0 0 36 34 64 2.1
+0 0 1 0 0 36 36 64 1.8
+0 0 1 0 0 36 38 64 1.5
+0 0 1 0 0 36 40 64 1.2
+0 0 1 0 0 36 42 64 0.9
+0 0 1 0 0 36 44 64 0.6
+0 0 1 0 0 36 46 64 0.3
+0 0 1 0 0 36 48 64 6.2803698347351e-16
+0 0 1 0 0 36 50 64 0.3
+0 0 1 0 0 36 52 64 0.6
+0 0 1 0 0 36 54 64 0.899999999999999
+0 0 1 0 0 36 56 64 1.2
+0 0 1 0 0 36 58 64 1.5
+0 0 1 0 0 36 60 64 1.8
+0 0 1 0 0 36 62 64 2.1
+0 0 1 0 0 36 64 64 2.4
+0 0 1 0 0 36 66 64 2.7
+0 0 1 0 0 36 68 64 3
+0 0 1 0 0 36 70 64 3.3
+0 0 1 0 0 36 72 64 3.6
+0 0 1 0 0 36 74 64 3.9
+0 0 1 0 0 36 76 64 4.2
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 0 64 7.2
+0 0 0 0 0 36 4 64 6.6
+0 0 0 0 0 36 8 64 6
+0 0 0 0 0 36 12 64 5.4
+0 0 0 0 0 36 16 64 4.8
+0 0 0 0 0 36 20 64 4.2
+0 0 0 0 0 36 24 64 3.6
+0 0 0 0 0 36 28 64 3
+0 0 0 0 0 36 32 64 2.4
+0 0 0 0 0 36 36 64 1.8
+0 0 0 0 0 36 40 64 1.2
+0 0 0 0 0 36 44 64 0.6
+0 0 0 0 0 36 48 64 6.2803698347351e-16
+0 0 0 0 0 36 52 64 0.6
+0 0 0 0 0 36 56 64 1.2
+0 0 0 0 0 36 60 64 1.8
+0 0 0 0 0 36 64 64 2.4
+0 0 0 0 0 36 68 64 3
+0 0 0 0 0 36 72 64 3.6
+0 0 0 0 0 36 76 64 4.2
+0 0 0 0 0 36 80 64 4.8
+0 0 0 0 0 36 84 64 5.4
+0 0 0 0 0 36 88 64 6
+0 0 0 0 0 36 92 64 6.6
+0 0 0 0 0 36 96 64 7.2
+0 0 0 0 0 36 100 64 7.8
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 39 64 1.35
+1 0 2 0 0 36 40 64 1.2
+1 0 2 0 0 36 41 64 1.05
+1 0 2 0 0 36 42 64 0.9
+1 0 2 0 0 36 43 64 0.75
+1 0 2 0 0 36 44 64 0.6
+1 0 2 0 0 36 45 64 0.45
+1 0 2 0 0 36 46 64 0.3
+1 0 2 0 0 36 47 64 0.15
+1 0 2 0 0 36 48 64 6.2803698347351e-16
+1 0 2 0 0 36 49 64 0.15
+1 0 2 0 0 36 50 64 0.3
+1 0 2 0 0 36 51 64 0.45
+1 0 2 0 0 36 52 64 0.6
+1 0 2 0 0 36 53 64 0.75
+1 0 2 0 0 36 54 64 0.899999999999999
+1 0 2 0 0 36 55 64 1.05
+1 0 2 0 0 36 56 64 1.2
+1 0 2 0 0 36 57 64 1.35
+1 0 2 0 0 36 58 64 1.5
+1 0 2 0 0 36 59 64 1.65
+1 0 2 0 0 36 60 64 1.8
+1 0 2 0 0 36 61 64 1.95
+1 0 2 0 0 36 62 64 2.1
+1 0 2 0 0 36 63 64 2.25
+1 0 2 0 0 36 64 64 2.4
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 39 64 1.35
+2 0 2 0 0 36 40 64 1.2
+2 0 2 0 0 36 41 64 1.05
+2 0 2 0 0 36 42 64 0.9
+2 0 2 0 0 36 43 64 0.75
+2 0 2 0 0 36 44 64 0.6
+2 0 2 0 0 36 45 64 0.45
+2 0 2 0 0 36 46 64 0.3
+2 0 2 0 0 36 47 64 0.15
+2 0 2 0 0 36 48 64 6.2803698347351e-16
+2 0 2 0 0 36 49 64 0.15
+2 0 2 0 0 36 50 64 0.3
+2 0 2 0 0 36 51 64 0.45
+2 0 2 0 0 36 52 64 0.6
+2 0 2 0 0 36 53 64 0.75
+2 0 2 0 0 36 54 64 0.899999999999999
+2 0 2 0 0 36 55 64 1.05
+2 0 2 0 0 36 56 64 1.2
+2 0 2 0 0 36 57 64 1.35
+2 0 2 0 0 36 58 64 1.5
+2 0 2 0 0 36 59 64 1.65
+2 0 2 0 0 36 60 64 1.8
+2 0 2 0 0 36 61 64 1.95
+2 0 2 0 0 36 62 64 2.1
+2 0 2 0 0 36 63 64 2.25
+2 0 2 0 0 36 64 64 2.4
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 26 64 3.3
+2 0 1 0 0 36 28 64 3
+2 0 1 0 0 36 30 64 2.7
+2 0 1 0 0 36 32 64 2.4
+2 0 1 0 0 36 34 64 2.1
+2 0 1 0 0 36 36 64 1.8
+2 0 1 0 0 36 38 64 1.5
+2 0 1 0 0 36 40 64 1.2
+2 0 1 0 0 36 42 64 0.9
+2 0 1 0 0 36 44 64 0.6
+2 0 1 0 0 36 46 64 0.3
+2 0 1 0 0 36 48 64 6.2803698347351e-16
+2 0 1 0 0 36 50 64 0.3
+2 0 1 0 0 36 52 64 0.6
+2 0 1 0 0 36 54 64 0.899999999999999
+2 0 1 0 0 36 56 64 1.2
+2 0 1 0 0 36 58 64 1.5
+2 0 1 0 0 36 60 64 1.8
+2 0 1 0 0 36 62 64 2.1
+2 0 1 0 0 36 64 64 2.4
+2 0 1 0 0 36 66 64 2.7
+2 0 1 0 0 36 68 64 3
+2 0 1 0 0 36 70 64 3.3
+2 0 1 0 0 36 72 64 3.6
+2 0 1 0 0 36 74 64 3.9
+2 0 1 0 0 36 76 64 4.2
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 39 64 1.35
+3 0 2 0 0 36 40 64 1.2
+3 0 2 0 0 36 41 64 1.05
+3 0 2 0 0 36 42 64 0.9
+3 0 2 0 0 36 43 64 0.75
+3 0 2 0 0 36 44 64 0.6
+3 0 2 0 0 36 45 64 0.45
+3 0 2 0 0 36 46 64 0.3
+3 0 2 0 0 36 47 64 0.15
+3 0 2 0 0 36 48 64 6.2803698347351e-16
+3 0 2 0 0 36 49 64 0.15
+3 0 2 0 0 36 50 64 0.3
+3 0 2 0 0 36 51 64 0.45
+3 0 2 0 0 36 52 64 0.6
+3 0 2 0 0 36 53 64 0.75
+3 0 2 0 0 36 54 64 0.899999999999999
+3 0 2 0 0 36 55 64 1.05
+3 0 2 0 0 36 56 64 1.2
+3 0 2 0 0 36 57 64 1.35
+3 0 2 0 0 36 58 64 1.5
+3 0 2 0 0 36 59 64 1.65
+3 0 2 0 0 36 60 64 1.8
+3 0 2 0 0 36 61 64 1.95
+3 0 2 0 0 36 62 64 2.1
+3 0 2 0 0 36 63 64 2.25
+3 0 2 0 0 36 64 64 2.4
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 39 64 1.35
+4 0 2 0 0 36 40 64 1.2
+4 0 2 0 0 36 41 64 1.05
+4 0 2 0 0 36 42 64 0.9
+4 0 2 0 0 36 43 64 0.75
+4 0 2 0 0 36 44 64 0.6
+4 0 2 0 0 36 45 64 0.45
+4 0 2 0 0 36 46 64 0.3
+4 0 2 0 0 36 47 64 0.15
+4 0 2 0 0 36 48 64 6.2803698347351e-16
+4 0 2 0 0 36 49 64 0.15
+4 0 2 0 0 36 50 64 0.3
+4 0 2 0 0 36 51 64 0.45
+4 0 2 0 0 36 52 64 0.6
+4 0 2 0 0 36 53 64 0.75
+4 0 2 0 0 36 54 64 0.899999999999999
+4 0 2 0 0 36 55 64 1.05
+4 0 2 0 0 36 56 64 1.2
+4 0 2 0 0 36 57 64 1.35
+4 0 2 0 0 36 58 64 1.5
+4 0 2 0 0 36 59 64 1.65
+4 0 2 0 0 36 60 64 1.8
+4 0 2 0 0 36 61 64 1.95
+4 0 2 0 0 36 62 64 2.1
+4 0 2 0 0 36 63 64 2.25
+4 0 2 0 0 36 64 64 2.4
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 26 64 3.3
+4 0 1 0 0 36 28 64 3
+4 0 1 0 0 36 30 64 2.7
+4 0 1 0 0 36 32 64 2.4
+4 0 1 0 0 36 34 64 2.1
+4 0 1 0 0 36 36 64 1.8
+4 0 1 0 0 36 38 64 1.5
+4 0 1 0 0 36 40 64 1.2
+4 0 1 0 0 36 42 64 0.9
+4 0 1 0 0 36 44 64 0.6
+4 0 1 0 0 36 46 64 0.3
+4 0 1 0 0 36 48 64 6.2803698347351e-16
+4 0 1 0 0 36 50 64 0.3
+4 0 1 0 0 36 52 64 0.6
+4 0 1 0 0 36 54 64 0.899999999999999
+4 0 1 0 0 36 56 64 1.2
+4 0 1 0 0 36 58 64 1.5
+4 0 1 0 0 36 60 64 1.8
+4 0 1 0 0 36 62 64 2.1
+4 0 1 0 0 36 64 64 2.4
+4 0 1 0 0 36 66 64 2.7
+4 0 1 0 0 36 68 64 3
+4 0 1 0 0 36 70 64 3.3
+4 0 1 0 0 36 72 64 3.6
+4 0 1 0 0 36 74 64 3.9
+4 0 1 0 0 36 76 64 4.2
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 0 64 7.2
+4 0 0 0 0 36 4 64 6.6
+4 0 0 0 0 36 8 64 6
+4 0 0 0 0 36 12 64 5.4
+4 0 0 0 0 36 16 64 4.8
+4 0 0 0 0 36 20 64 4.2
+4 0 0 0 0 36 24 64 3.6
+4 0 0 0 0 36 28 64 3
+4 0 0 0 0 36 32 64 2.4
+4 0 0 0 0 36 36 64 1.8
+4 0 0 0 0 36 40 64 1.2
+4 0 0 0 0 36 44 64 0.6
+4 0 0 0 0 36 48 64 6.2803698347351e-16
+4 0 0 0 0 36 52 64 0.6
+4 0 0 0 0 36 56 64 1.2
+4 0 0 0 0 36 60 64 1.8
+4 0 0 0 0 36 64 64 2.4
+4 0 0 0 0 36 68 64 3
+4 0 0 0 0 36 72 64 3.6
+4 0 0 0 0 36 76 64 4.2
+4 0 0 0 0 36 80 64 4.8
+4 0 0 0 0 36 84 64 5.4
+4 0 0 0 0 36 88 64 6
+4 0 0 0 0 36 92 64 6.6
+4 0 0 0 0 36 96 64 7.2
+4 0 0 0 0 36 100 64 7.8
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 39 64 1.35
+5 0 2 0 0 36 40 64 1.2
+5 0 2 0 0 36 41 64 1.05
+5 0 2 0 0 36 42 64 0.9
+5 0 2 0 0 36 43 64 0.75
+5 0 2 0 0 36 44 64 0.6
+5 0 2 0 0 36 45 64 0.45
+5 0 2 0 0 36 46 64 0.3
+5 0 2 0 0 36 47 64 0.15
+5 0 2 0 0 36 48 64 6.2803698347351e-16
+5 0 2 0 0 36 49 64 0.15
+5 0 2 0 0 36 50 64 0.3
+5 0 2 0 0 36 51 64 0.45
+5 0 2 0 0 36 52 64 0.6
+5 0 2 0 0 36 53 64 0.75
+5 0 2 0 0 36 54 64 0.899999999999999
+5 0 2 0 0 36 55 64 1.05
+5 0 2 0 0 36 56 64 1.2
+5 0 2 0 0 36 57 64 1.35
+5 0 2 0 0 36 58 64 1.5
+5 0 2 0 0 36 59 64 1.65
+5 0 2 0 0 36 60 64 1.8
+5 0 2 0 0 36 61 64 1.95
+5 0 2 0 0 36 62 64 2.1
+5 0 2 0 0 36 63 64 2.25
+5 0 2 0 0 36 64 64 2.4
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 39 64 1.35
+6 0 2 0 0 36 40 64 1.2
+6 0 2 0 0 36 41 64 1.05
+6 0 2 0 0 36 42 64 0.9
+6 0 2 0 0 36 43 64 0.75
+6 0 2 0 0 36 44 64 0.6
+6 0 2 0 0 36 45 64 0.45
+6 0 2 0 0 36 46 64 0.3
+6 0 2 0 0 36 47 64 0.15
+6 0 2 0 0 36 48 64 6.2803698347351e-16
+6 0 2 0 0 36 49 64 0.15
+6 0 2 0 0 36 50 64 0.3
+6 0 2 0 0 36 51 64 0.45
+6 0 2 0 0 36 52 64 0.6
+6 0 2 0 0 36 53 64 0.75
+6 0 2 0 0 36 54 64 0.899999999999999
+6 0 2 0 0 36 55 64 1.05
+6 0 2 0 0 36 56 64 1.2
+6 0 2 0 0 36 57 64 1.35
+6 0 2 0 0 36 58 64 1.5
+6 0 2 0 0 36 59 64 1.65
+6 0 2 0 0 36 60 64 1.8
+6 0 2 0 0 36 61 64 1.95
+6 0 2 0 0 36 62 64 2.1
+6 0 2 0 0 36 63 64 2.25
+6 0 2 0 0 36 64 64 2.4
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 26 64 3.3
+6 0 1 0 0 36 28 64 3
+6 0 1 0 0 36 30 64 2.7
+6 0 1 0 0 36 32 64 2.4
+6 0 1 0 0 36 34 64 2.1
+6 0 1 0 0 36 36 64 1.8
+6 0 1 0 0 36 38 64 1.5
+6 0 1 0 0 36 40 64 1.2
+6 0 1 0 0 36 42 64 0.9
+6 0 1 0 0 36 44 64 0.6
+6 0 1 0 0 36 46 64 0.3
+6 0 1 0 0 36 48 64 6.2803698347351e-16
+6 0 1 0 0 36 50 64 0.3
+6 0 1 0 0 36 52 64 0.6
+6 0 1 0 0 36 54 64 0.899999999999999
+6 0 1 0 0 36 56 64 1.2
+6 0 1 0 0 36 58 64 1.5
+6 0 1 0 0 36 60 64 1.8
+6 0 1 0 0 36 62 64 2.1
+6 0 1 0 0 36 64 64 2.4
+6 0 1 0 0 36 66 64 2.7
+6 0 1 0 0 36 68 64 3
+6 0 1 0 0 36 70 64 3.3
+6 0 1 0 0 36 72 64 3.6
+6 0 1 0 0 36 74 64 3.9
+6 0 1 0 0 36 76 64 4.2
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 39 64 1.35
+7 0 2 0 0 36 40 64 1.2
+7 0 2 0 0 36 41 64 1.05
+7 0 2 0 0 36 42 64 0.9
+7 0 2 0 0 36 43 64 0.75
+7 0 2 0 0 36 44 64 0.6
+7 0 2 0 0 36 45 64 0.45
+7 0 2 0 0 36 46 64 0.3
+7 0 2 0 0 36 47 64 0.15
+7 0 2 0 0 36 48 64 6.2803698347351e-16
+7 0 2 0 0 36 49 64 0.15
+7 0 2 0 0 36 50 64 0.3
+7 0 2 0 0 36 51 64 0.45
+7 0 2 0 0 36 52 64 0.6
+7 0 2 0 0 36 53 64 0.75
+7 0 2 0 0 36 54 64 0.899999999999999
+7 0 2 0 0 36 55 64 1.05
+7 0 2 0 0 36 56 64 1.2
+7 0 2 0 0 36 57 64 1.35
+7 0 2 0 0 36 58 64 1.5
+7 0 2 0 0 36 59 64 1.65
+7 0 2 0 0 36 60 64 1.8
+7 0 2 0 0 36 61 64 1.95
+7 0 2 0 0 36 62 64 2.1
+7 0 2 0 0 36 63 64 2.25
+7 0 2 0 0 36 64 64 2.4
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 39 64 1.35
+8 0 2 0 0 36 40 64 1.2
+8 0 2 0 0 36 41 64 1.05
+8 0 2 0 0 36 42 64 0.9
+8 0 2 0 0 36 43 64 0.75
+8 0 2 0 0 36 44 64 0.6
+8 0 2 0 0 36 45 64 0.45
+8 0 2 0 0 36 46 64 0.3
+8 0 2 0 0 36 47 64 0.15
+8 0 2 0 0 36 48 64 6.2803698347351e-16
+8 0 2 0 0 36 49 64 0.15
+8 0 2 0 0 36 50 64 0.3
+8 0 2 0 0 36 51 64 0.45
+8 0 2 0 0 36 52 64 0.6
+8 0 2 0 0 36 53 64 0.75
+8 0 2 0 0 36 54 64 0.899999999999999
+8 0 2 0 0 36 55 64 1.05
+8 0 2 0 0 36 56 64 1.2
+8 0 2 0 0 36 57 64 1.35
+8 0 2 0 0 36 58 64 1.5
+8 0 2 0 0 36 59 64 1.65
+8 0 2 0 0 36 60 64 1.8
+8 0 2 0 0 36 61 64 1.95
+8 0 2 0 0 36 62 64 2.1
+8 0 2 0 0 36 63 64 2.25
+8 0 2 0 0 36 64 64 2.4
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 26 64 3.3
+8 0 1 0 0 36 28 64 3
+8 0 1 0 0 36 30 64 2.7
+8 0 1 0 0 36 32 64 2.4
+8 0 1 0 0 36 34 64 2.1
+8 0 1 0 0 36 36 64 1.8
+8 0 1 0 0 36 38 64 1.5
+8 0 1 0 0 36 40 64 1.2
+8 0 1 0 0 36 42 64 0.9
+8 0 1 0 0 36 44 64 0.6
+8 0 1 0 0 36 46 64 0.3
+8 0 1 0 0 36 48 64 6.2803698347351e-16
+8 0 1 0 0 36 50 64 0.3
+8 0 1 0 0 36 52 64 0.6
+8 0 1 0 0 36 54 64 0.899999999999999
+8 0 1 0 0 36 56 64 1.2
+8 0 1 0 0 36 58 64 1.5
+8 0 1 0 0 36 60 64 1.8
+8 0 1 0 0 36 62 64 2.1
+8 0 1 0 0 36 64 64 2.4
+8 0 1 0 0 36 66 64 2.7
+8 0 1 0 0 36 68 64 3
+8 0 1 0 0 36 70 64 3.3
+8 0 1 0 0 36 72 64 3.6
+8 0 1 0 0 36 74 64 3.9
+8 0 1 0 0 36 76 64 4.2
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 0 64 7.2
+8 0 0 0 0 36 4 64 6.6
+8 0 0 0 0 36 8 64 6
+8 0 0 0 0 36 12 64 5.4
+8 0 0 0 0 36 16 64 4.8
+8 0 0 0 0 36 20 64 4.2
+8 0 0 0 0 36 24 64 3.6
+8 0 0 0 0 36 28 64 3
+8 0 0 0 0 36 32 64 2.4
+8 0 0 0 0 36 36 64 1.8
+8 0 0 0 0 36 40 64 1.2
+8 0 0 0 0 36 44 64 0.6
+8 0 0 0 0 36 48 64 6.2803698347351e-16
+8 0 0 0 0 36 52 64 0.6
+8 0 0 0 0 36 56 64 1.2
+8 0 0 0 0 36 60 64 1.8
+8 0 0 0 0 36 64 64 2.4
+8 0 0 0 0 36 68 64 3
+8 0 0 0 0 36 72 64 3.6
+8 0 0 0 0 36 76 64 4.2
+8 0 0 0 0 36 80 64 4.8
+8 0 0 0 0 36 84 64 5.4
+8 0 0 0 0 36 88 64 6
+8 0 0 0 0 36 92 64 6.6
+8 0 0 0 0 36 96 64 7.2
+8 0 0 0 0 36 100 64 7.8
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 39 64 1.35
+9 0 2 0 0 36 40 64 1.2
+9 0 2 0 0 36 41 64 1.05
+9 0 2 0 0 36 42 64 0.9
+9 0 2 0 0 36 43 64 0.75
+9 0 2 0 0 36 44 64 0.6
+9 0 2 0 0 36 45 64 0.45
+9 0 2 0 0 36 46 64 0.3
+9 0 2 0 0 36 47 64 0.15
+9 0 2 0 0 36 48 64 6.2803698347351e-16
+9 0 2 0 0 36 49 64 0.15
+9 0 2 0 0 36 50 64 0.3
+9 0 2 0 0 36 51 64 0.45
+9 0 2 0 0 36 52 64 0.6
+9 0 2 0 0 36 53 64 0.75
+9 0 2 0 0 36 54 64 0.899999999999999
+9 0 2 0 0 36 55 64 1.05
+9 0 2 0 0 36 56 64 1.2
+9 0 2 0 0 36 57 64 1.35
+9 0 2 0 0 36 58 64 1.5
+9 0 2 0 0 36 59 64 1.65
+9 0 2 0 0 36 60 64 1.8
+9 0 2 0 0 36 61 64 1.95
+9 0 2 0 0 36 62 64 2.1
+9 0 2 0 0 36 63 64 2.25
+9 0 2 0 0 36 64 64 2.4
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 39 64 1.35
+10 0 2 0 0 36 40 64 1.2
+10 0 2 0 0 36 41 64 1.05
+10 0 2 0 0 36 42 64 0.9
+10 0 2 0 0 36 43 64 0.75
+10 0 2 0 0 36 44 64 0.6
+10 0 2 0 0 36 45 64 0.45
+10 0 2 0 0 36 46 64 0.3
+10 0 2 0 0 36 47 64 0.15
+10 0 2 0 0 36 48 64 6.2803698347351e-16
+10 0 2 0 0 36 49 64 0.15
+10 0 2 0 0 36 50 64 0.3
+10 0 2 0 0 36 51 64 0.45
+10 0 2 0 0 36 52 64 0.6
+10 0 2 0 0 36 53 64 0.75
+10 0 2 0 0 36 54 64 0.899999999999999
+10 0 2 0 0 36 55 64 1.05
+10 0 2 0 0 36 56 64 1.2
+10 0 2 0 0 36 57 64 1.35
+10 0 2 0 0 36 58 64 1.5
+10 0 2 0 0 36 59 64 1.65
+10 0 2 0 0 36 60 64 1.8
+10 0 2 0 0 36 61 64 1.95
+10 0 2 0 0 36 62 64 2.1
+10 0 2 0 0 36 63 64 2.25
+10 0 2 0 0 36 64 64 2.4
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 26 64 3.3
+10 0 1 0 0 36 28 64 3
+10 0 1 0 0 36 30 64 2.7
+10 0 1 0 0 36 32 64 2.4
+10 0 1 0 0 36 34 64 2.1
+10 0 1 0 0 36 36 64 1.8
+10 0 1 0 0 36 38 64 1.5
+10 0 1 0 0 36 40 64 1.2
+10 0 1 0 0 36 42 64 0.9
+10 0 1 0 0 36 44 64 0.6
+10 0 1 0 0 36 46 64 0.3
+10 0 1 0 0 36 48 64 6.2803698347351e-16
+10 0 1 0 0 36 50 64 0.3
+10 0 1 0 0 36 52 64 0.6
+10 0 1 0 0 36 54 64 0.899999999999999
+10 0 1 0 0 36 56 64 1.2
+10 0 1 0 0 36 58 64 1.5
+10 0 1 0 0 36 60 64 1.8
+10 0 1 0 0 36 62 64 2.1
+10 0 1 0 0 36 64 64 2.4
+10 0 1 0 0 36 66 64 2.7
+10 0 1 0 0 36 68 64 3
+10 0 1 0 0 36 70 64 3.3
+10 0 1 0 0 36 72 64 3.6
+10 0 1 0 0 36 74 64 3.9
+10 0 1 0 0 36 76 64 4.2
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 39 64 1.35
+11 0 2 0 0 36 40 64 1.2
+11 0 2 0 0 36 41 64 1.05
+11 0 2 0 0 36 42 64 0.9
+11 0 2 0 0 36 43 64 0.75
+11 0 2 0 0 36 44 64 0.6
+11 0 2 0 0 36 45 64 0.45
+11 0 2 0 0 36 46 64 0.3
+11 0 2 0 0 36 47 64 0.15
+11 0 2 0 0 36 48 64 6.2803698347351e-16
+11 0 2 0 0 36 49 64 0.15
+11 0 2 0 0 36 50 64 0.3
+11 0 2 0 0 36 51 64 0.45
+11 0 2 0 0 36 52 64 0.6
+11 0 2 0 0 36 53 64 0.75
+11 0 2 0 0 36 54 64 0.899999999999999
+11 0 2 0 0 36 55 64 1.05
+11 0 2 0 0 36 56 64 1.2
+11 0 2 0 0 36 57 64 1.35
+11 0 2 0 0 36 58 64 1.5
+11 0 2 0 0 36 59 64 1.65
+11 0 2 0 0 36 60 64 1.8
+11 0 2 0 0 36 61 64 1.95
+11 0 2 0 0 36 62 64 2.1
+11 0 2 0 0 36 63 64 2.25
+11 0 2 0 0 36 64 64 2.4
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 39 64 1.35
+12 0 2 0 0 36 40 64 1.2
+12 0 2 0 0 36 41 64 1.05
+12 0 2 0 0 36 42 64 0.9
+12 0 2 0 0 36 43 64 0.75
+12 0 2 0 0 36 44 64 0.6
+12 0 2 0 0 36 45 64 0.45
+12 0 2 0 0 36 46 64 0.3
+12 0 2 0 0 36 47 64 0.15
+12 0 2 0 0 36 48 64 6.2803698347351e-16
+12 0 2 0 0 36 49 64 0.15
+12 0 2 0 0 36 50 64 0.3
+12 0 2 0 0 36 51 64 0.45
+12 0 2 0 0 36 52 64 0.6
+12 0 2 0 0 36 53 64 0.75
+12 0 2 0 0 36 54 64 0.899999999999999
+12 0 2 0 0 36 55 64 1.05
+12 0 2 0 0 36 56 64 1.2
+12 0 2 0 0 36 57 64 1.35
+12 0 2 0 0 36 58 64 1.5
+12 0 2 0 0 36 59 64 1.65
+12 0 2 0 0 36 60 64 1.8
+12 0 2 0 0 36 61 64 1.95
+12 0 2 0 0 36 62 64 2.1
+12 0 2 0 0 36 63 64 2.25
+12 0 2 0 0 36 64 64 2.4
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 26 64 3.3
+12 0 1 0 0 36 28 64 3
+12 0 1 0 0 36 30 64 2.7
+12 0 1 0 0 36 32 64 2.4
+12 0 1 0 0 36 34 64 2.1
+12 0 1 0 0 36 36 64 1.8
+12 0 1 0 0 36 38 64 1.5
+12 0 1 0 0 36 40 64 1.2
+12 0 1 0 0 36 42 64 0.9
+12 0 1 0 0 36 44 64 0.6
+12 0 1 0 0 36 46 64 0.3
+12 0 1 0 0 36 48 64 6.2803698347351e-16
+12 0 1 0 0 36 50 64 0.3
+12 0 1 0 0 36 52 64 0.6
+12 0 1 0 0 36 54 64 0.899999999999999
+12 0 1 0 0 36 56 64 1.2
+12 0 1 0 0 36 58 64 1.5
+12 0 1 0 0 36 60 64 1.8
+12 0 1 0 0 36 62 64 2.1
+12 0 1 0 0 36 64 64 2.4
+12 0 1 0 0 36 66 64 2.7
+12 0 1 0 0 36 68 64 3
+12 0 1 0 0 36 70 64 3.3
+12 0 1 0 0 36 72 64 3.6
+12 0 1 0 0 36 74 64 3.9
+12 0 1 0 0 36 76 64 4.2
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 0 64 7.2
+12 0 0 0 0 36 4 64 6.6
+12 0 0 0 0 36 8 64 6
+12 0 0 0 0 36 12 64 5.4
+12 0 0 0 0 36 16 64 4.8
+12 0 0 0 0 36 20 64 4.2
+12 0 0 0 0 36 24 64 3.6
+12 0 0 0 0 36 28 64 3
+12 0 0 0 0 36 32 64 2.4
+12 0 0 0 0 36 36 64 1.8
+12 0 0 0 0 36 40 64 1.2
+12 0 0 0 0 36 44 64 0.6
+12 0 0 0 0 36 48 64 6.2803698347351e-16
+12 0 0 0 0 36 52 64 0.6
+12 0 0 0 0 36 56 64 1.2
+12 0 0 0 0 36 60 64 1.8
+12 0 0 0 0 36 64 64 2.4
+12 0 0 0 0 36 68 64 3
+12 0 0 0 0 36 72 64 3.6
+12 0 0 0 0 36 76 64 4.2
+12 0 0 0 0 36 80 64 4.8
+12 0 0 0 0 36 84 64 5.4
+12 0 0 0 0 36 88 64 6
+12 0 0 0 0 36 92 64 6.6
+12 0 0 0 0 36 96 64 7.2
+12 0 0 0 0 36 100 64 7.8
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 39 64 1.35
+13 0 2 0 0 36 40 64 1.2
+13 0 2 0 0 36 41 64 1.05
+13 0 2 0 0 36 42 64 0.9
+13 0 2 0 0 36 43 64 0.75
+13 0 2 0 0 36 44 64 0.6
+13 0 2 0 0 36 45 64 0.45
+13 0 2 0 0 36 46 64 0.3
+13 0 2 0 0 36 47 64 0.15
+13 0 2 0 0 36 48 64 6.2803698347351e-16
+13 0 2 0 0 36 49 64 0.15
+13 0 2 0 0 36 50 64 0.3
+13 0 2 0 0 36 51 64 0.45
+13 0 2 0 0 36 52 64 0.6
+13 0 2 0 0 36 53 64 0.75
+13 0 2 0 0 36 54 64 0.899999999999999
+13 0 2 0 0 36 55 64 1.05
+13 0 2 0 0 36 56 64 1.2
+13 0 2 0 0 36 57 64 1.35
+13 0 2 0 0 36 58 64 1.5
+13 0 2 0 0 36 59 64 1.65
+13 0 2 0 0 36 60 64 1.8
+13 0 2 0 0 36 61 64 1.95
+13 0 2 0 0 36 62 64 2.1
+13 0 2 0 0 36 63 64 2.25
+13 0 2 0 0 36 64 64 2.4
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 39 64 1.35
+14 0 2 0 0 36 40 64 1.2
+14 0 2 0 0 36 41 64 1.05
+14 0 2 0 0 36 42 64 0.9
+14 0 2 0 0 36 43 64 0.75
+14 0 2 0 0 36 44 64 0.6
+14 0 2 0 0 36 45 64 0.45
+14 0 2 0 0 36 46 64 0.3
+14 0 2 0 0 36 47 64 0.15
+14 0 2 0 0 36 48 64 6.2803698347351e-16
+14 0 2 0 0 36 49 64 0.15
+14 0 2 0 0 36 50 64 0.3
+14 0 2 0 0 36 51 64 0.45
+14 0 2 0 0 36 52 64 0.6
+14 0 2 0 0 36 53 64 0.75
+14 0 2 0 0 36 54 64 0.899999999999999
+14 0 2 0 0 36 55 64 1.05
+14 0 2 0 0 36 56 64 1.2
+14 0 2 0 0 36 57 64 1.35
+14 0 2 0 0 36 58 64 1.5
+14 0 2 0 0 36 59 64 1.65
+14 0 2 0 0 36 60 64 1.8
+14 0 2 0 0 36 61 64 1.95
+14 0 2 0 0 36 62 64 2.1
+14 0 2 0 0 36 63 64 2.25
+14 0 2 0 0 36 64 64 2.4
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 26 64 3.3
+14 0 1 0 0 36 28 64 3
+14 0 1 0 0 36 30 64 2.7
+14 0 1 0 0 36 32 64 2.4
+14 0 1 0 0 36 34 64 2.1
+14 0 1 0 0 36 36 64 1.8
+14 0 1 0 0 36 38 64 1.5
+14 0 1 0 0 36 40 64 1.2
+14 0 1 0 0 36 42 64 0.9
+14 0 1 0 0 36 44 64 0.6
+14 0 1 0 0 36 46 64 0.3
+14 0 1 0 0 36 48 64 6.2803698347351e-16
+14 0 1 0 0 36 50 64 0.3
+14 0 1 0 0 36 52 64 0.6
+14 0 1 0 0 36 54 64 0.899999999999999
+14 0 1 0 0 36 56 64 1.2
+14 0 1 0 0 36 58 64 1.5
+14 0 1 0 0 36 60 64 1.8
+14 0 1 0 0 36 62 64 2.1
+14 0 1 0 0 36 64 64 2.4
+14 0 1 0 0 36 66 64 2.7
+14 0 1 0 0 36 68 64 3
+14 0 1 0 0 36 70 64 3.3
+14 0 1 0 0 36 72 64 3.6
+14 0 1 0 0 36 74 64 3.9
+14 0 1 0 0 36 76 64 4.2
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 39 64 1.35
+15 0 2 0 0 36 40 64 1.2
+15 0 2 0 0 36 41 64 1.05
+15 0 2 0 0 36 42 64 0.9
+15 0 2 0 0 36 43 64 0.75
+15 0 2 0 0 36 44 64 0.6
+15 0 2 0 0 36 45 64 0.45
+15 0 2 0 0 36 46 64 0.3
+15 0 2 0 0 36 47 64 0.15
+15 0 2 0 0 36 48 64 6.2803698347351e-16
+15 0 2 0 0 36 49 64 0.15
+15 0 2 0 0 36 50 64 0.3
+15 0 2 0 0 36 51 64 0.45
+15 0 2 0 0 36 52 64 0.6
+15 0 2 0 0 36 53 64 0.75
+15 0 2 0 0 36 54 64 0.899999999999999
+15 0 2 0 0 36 55 64 1.05
+15 0 2 0 0 36 56 64 1.2
+15 0 2 0 0 36 57 64 1.35
+15 0 2 0 0 36 58 64 1.5
+15 0 2 0 0 36 59 64 1.65
+15 0 2 0 0 36 60 64 1.8
+15 0 2 0 0 36 61 64 1.95
+15 0 2 0 0 36 62 64 2.1
+15 0 2 0 0 36 63 64 2.25
+15 0 2 0 0 36 64 64 2.4
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 39 64 1.35
+16 0 2 0 0 36 40 64 1.2
+16 0 2 0 0 36 41 64 1.05
+16 0 2 0 0 36 42 64 0.9
+16 0 2 0 0 36 43 64 0.75
+16 0 2 0 0 36 44 64 0.6
+16 0 2 0 0 36 45 64 0.45
+16 0 2 0 0 36 46 64 0.3
+16 0 2 0 0 36 47 64 0.15
+16 0 2 0 0 36 48 64 6.2803698347351e-16
+16 0 2 0 0 36 49 64 0.15
+16 0 2 0 0 36 50 64 0.3
+16 0 2 0 0 36 51 64 0.45
+16 0 2 0 0 36 52 64 0.6
+16 0 2 0 0 36 53 64 0.75
+16 0 2 0 0 36 54 64 0.899999999999999
+16 0 2 0 0 36 55 64 1.05
+16 0 2 0 0 36 56 64 1.2
+16 0 2 0 0 36 57 64 1.35
+16 0 2 0 0 36 58 64 1.5
+16 0 2 0 0 36 59 64 1.65
+16 0 2 0 0 36 60 64 1.8
+16 0 2 0 0 36 61 64 1.95
+16 0 2 0 0 36 62 64 2.1
+16 0 2 0 0 36 63 64 2.25
+16 0 2 0 0 36 64 64 2.4
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 26 64 3.3
+16 0 1 0 0 36 28 64 3
+16 0 1 0 0 36 30 64 2.7
+16 0 1 0 0 36 32 64 2.4
+16 0 1 0 0 36 34 64 2.1
+16 0 1 0 0 36 36 64 1.8
+16 0 1 0 0 36 38 64 1.5
+16 0 1 0 0 36 40 64 1.2
+16 0 1 0 0 36 42 64 0.9
+16 0 1 0 0 36 44 64 0.6
+16 0 1 0 0 36 46 64 0.3
+16 0 1 0 0 36 48 64 6.2803698347351e-16
+16 0 1 0 0 36 50 64 0.3
+16 0 1 0 0 36 52 64 0.6
+16 0 1 0 0 36 54 64 0.899999999999999
+16 0 1 0 0 36 56 64 1.2
+16 0 1 0 0 36 58 64 1.5
+16 0 1 0 0 36 60 64 1.8
+16 0 1 0 0 36 62 64 2.1
+16 0 1 0 0 36 64 64 2.4
+16 0 1 0 0 36 66 64 2.7
+16 0 1 0 0 36 68 64 3
+16 0 1 0 0 36 70 64 3.3
+16 0 1 0 0 36 72 64 3.6
+16 0 1 0 0 36 74 64 3.9
+16 0 1 0 0 36 76 64 4.2
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 0 64 7.2
+16 0 0 0 0 36 4 64 6.6
+16 0 0 0 0 36 8 64 6
+16 0 0 0 0 36 12 64 5.4
+16 0 0 0 0 36 16 64 4.8
+16 0 0 0 0 36 20 64 4.2
+16 0 0 0 0 36 24 64 3.6
+16 0 0 0 0 36 28 64 3
+16 0 0 0 0 36 32 64 2.4
+16 0 0 0 0 36 36 64 1.8
+16 0 0 0 0 36 40 64 1.2
+16 0 0 0 0 36 44 64 0.6
+16 0 0 0 0 36 48 64 6.2803698347351e-16
+16 0 0 0 0 36 52 64 0.6
+16 0 0 0 0 36 56 64 1.2
+16 0 0 0 0 36 60 64 1.8
+16 0 0 0 0 36 64 64 2.4
+16 0 0 0 0 36 68 64 3
+16 0 0 0 0 36 72 64 3.6
+16 0 0 0 0 36 76 64 4.2
+16 0 0 0 0 36 80 64 4.8
+16 0 0 0 0 36 84 64 5.4
+16 0 0 0 0 36 88 64 6
+16 0 0 0 0 36 92 64 6.6
+16 0 0 0 0 36 96 64 7.2
+16 0 0 0 0 36 100 64 7.8
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 39 64 1.35
+17 0 2 0 0 36 40 64 1.2
+17 0 2 0 0 36 41 64 1.05
+17 0 2 0 0 36 42 64 0.9
+17 0 2 0 0 36 43 64 0.75
+17 0 2 0 0 36 44 64 0.6
+17 0 2 0 0 36 45 64 0.45
+17 0 2 0 0 36 46 64 0.3
+17 0 2 0 0 36 47 64 0.15
+17 0 2 0 0 36 48 64 6.2803698347351e-16
+17 0 2 0 0 36 49 64 0.15
+17 0 2 0 0 36 50 64 0.3
+17 0 2 0 0 36 51 64 0.45
+17 0 2 0 0 36 52 64 0.6
+17 0 2 0 0 36 53 64 0.75
+17 0 2 0 0 36 54 64 0.899999999999999
+17 0 2 0 0 36 55 64 1.05
+17 0 2 0 0 36 56 64 1.2
+17 0 2 0 0 36 57 64 1.35
+17 0 2 0 0 36 58 64 1.5
+17 0 2 0 0 36 59 64 1.65
+17 0 2 0 0 36 60 64 1.8
+17 0 2 0 0 36 61 64 1.95
+17 0 2 0 0 36 62 64 2.1
+17 0 2 0 0 36 63 64 2.25
+17 0 2 0 0 36 64 64 2.4
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 39 64 1.35
+18 0 2 0 0 36 40 64 1.2
+18 0 2 0 0 36 41 64 1.05
+18 0 2 0 0 36 42 64 0.9
+18 0 2 0 0 36 43 64 0.75
+18 0 2 0 0 36 44 64 0.6
+18 0 2 0 0 36 45 64 0.45
+18 0 2 0 0 36 46 64 0.3
+18 0 2 0 0 36 47 64 0.15
+18 0 2 0 0 36 48 64 6.2803698347351e-16
+18 0 2 0 0 36 49 64 0.15
+18 0 2 0 0 36 50 64 0.3
+18 0 2 0 0 36 51 64 0.45
+18 0 2 0 0 36 52 64 0.6
+18 0 2 0 0 36 53 64 0.75
+18 0 2 0 0 36 54 64 0.899999999999999
+18 0 2 0 0 36 55 64 1.05
+18 0 2 0 0 36 56 64 1.2
+18 0 2 0 0 36 57 64 1.35
+18 0 2 0 0 36 58 64 1.5
+18 0 2 0 0 36 59 64 1.65
+18 0 2 0 0 36 60 64 1.8
+18 0 2 0 0 36 61 64 1.95
+18 0 2 0 0 36 62 64 2.1
+18 0 2 0 0 36 63 64 2.25
+18 0 2 0 0 36 64 64 2.4
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 26 64 3.3
+18 0 1 0 0 36 28 64 3
+18 0 1 0 0 36 30 64 2.7
+18 0 1 0 0 36 32 64 2.4
+18 0 1 0 0 36 34 64 2.1
+18 0 1 0 0 36 36 64 1.8
+18 0 1 0 0 36 38 64 1.5
+18 0 1 0 0 36 40 64 1.2
+18 0 1 0 0 36 42 64 0.9
+18 0 1 0 0 36 44 64 0.6
+18 0 1 0 0 36 46 64 0.3
+18 0 1 0 0 36 48 64 6.2803698347351e-16
+18 0 1 0 0 36 50 64 0.3
+18 0 1 0 0 36 52 64 0.6
+18 0 1 0 0 36 54 64 0.899999999999999
+18 0 1 0 0 36 56 64 1.2
+18 0 1 0 0 36 58 64 1.5
+18 0 1 0 0 36 60 64 1.8
+18 0 1 0 0 36 62 64 2.1
+18 0 1 0 0 36 64 64 2.4
+18 0 1 0 0 36 66 64 2.7
+18 0 1 0 0 36 68 64 3
+18 0 1 0 0 36 70 64 3.3
+18 0 1 0 0 36 72 64 3.6
+18 0 1 0 0 36 74 64 3.9
+18 0 1 0 0 36 76 64 4.2
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 39 64 1.35
+19 0 2 0 0 36 40 64 1.2
+19 0 2 0 0 36 41 64 1.05
+19 0 2 0 0 36 42 64 0.9
+19 0 2 0 0 36 43 64 0.75
+19 0 2 0 0 36 44 64 0.6
+19 0 2 0 0 36 45 64 0.45
+19 0 2 0 0 36 46 64 0.3
+19 0 2 0 0 36 47 64 0.15
+19 0 2 0 0 36 48 64 6.2803698347351e-16
+19 0 2 0 0 36 49 64 0.15
+19 0 2 0 0 36 50 64 0.3
+19 0 2 0 0 36 51 64 0.45
+19 0 2 0 0 36 52 64 0.6
+19 0 2 0 0 36 53 64 0.75
+19 0 2 0 0 36 54 64 0.899999999999999
+19 0 2 0 0 36 55 64 1.05
+19 0 2 0 0 36 56 64 1.2
+19 0 2 0 0 36 57 64 1.35
+19 0 2 0 0 36 58 64 1.5
+19 0 2 0 0 36 59 64 1.65
+19 0 2 0 0 36 60 64 1.8
+19 0 2 0 0 36 61 64 1.95
+19 0 2 0 0 36 62 64 2.1
+19 0 2 0 0 36 63 64 2.25
+19 0 2 0 0 36 64 64 2.4
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 39 64 1.35
+20 0 2 0 0 36 40 64 1.2
+20 0 2 0 0 36 41 64 1.05
+20 0 2 0 0 36 42 64 0.9
+20 0 2 0 0 36 43 64 0.75
+20 0 2 0 0 36 44 64 0.6
+20 0 2 0 0 36 45 64 0.45
+20 0 2 0 0 36 46 64 0.3
+20 0 2 0 0 36 47 64 0.15
+20 0 2 0 0 36 48 64 6.2803698347351e-16
+20 0 2 0 0 36 49 64 0.15
+20 0 2 0 0 36 50 64 0.3
+20 0 2 0 0 36 51 64 0.45
+20 0 2 0 0 36 52 64 0.6
+20 0 2 0 0 36 53 64 0.75
+20 0 2 0 0 36 54 64 0.899999999999999
+20 0 2 0 0 36 55 64 1.05
+20 0 2 0 0 36 56 64 1.2
+20 0 2 0 0 36 57 64 1.35
+20 0 2 0 0 36 58 64 1.5
+20 0 2 0 0 36 59 64 1.65
+20 0 2 0 0 36 60 64 1.8
+20 0 2 0 0 36 61 64 1.95
+20 0 2 0 0 36 62 64 2.1
+20 0 2 0 0 36 63 64 2.25
+20 0 2 0 0 36 64 64 2.4
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 26 64 3.3
+20 0 1 0 0 36 28 64 3
+20 0 1 0 0 36 30 64 2.7
+20 0 1 0 0 36 32 64 2.4
+20 0 1 0 0 36 34 64 2.1
+20 0 1 0 0 36 36 64 1.8
+20 0 1 0 0 36 38 64 1.5
+20 0 1 0 0 36 40 64 1.2
+20 0 1 0 0 36 42 64 0.9
+20 0 1 0 0 36 44 64 0.6
+20 0 1 0 0 36 46 64 0.3
+20 0 1 0 0 36 48 64 6.2803698347351e-16
+20 0 1 0 0 36 50 64 0.3
+20 0 1 0 0 36 52 64 0.6
+20 0 1 0 0 36 54 64 0.899999999999999
+20 0 1 0 0 36 56 64 1.2
+20 0 1 0 0 36 58 64 1.5
+20 0 1 0 0 36 60 64 1.8
+20 0 1 0 0 36 62 64 2.1
+20 0 1 0 0 36 64 64 2.4
+20 0 1 0 0 36 66 64 2.7
+20 0 1 0 0 36 68 64 3
+20 0 1 0 0 36 70 64 3.3
+20 0 1 0 0 36 72 64 3.6
+20 0 1 0 0 36 74 64 3.9
+20 0 1 0 0 36 76 64 4.2
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 0 64 7.2
+20 0 0 0 0 36 4 64 6.6
+20 0 0 0 0 36 8 64 6
+20 0 0 0 0 36 12 64 5.4
+20 0 0 0 0 36 16 64 4.8
+20 0 0 0 0 36 20 64 4.2
+20 0 0 0 0 36 24 64 3.6
+20 0 0 0 0 36 28 64 3
+20 0 0 0 0 36 32 64 2.4
+20 0 0 0 0 36 36 64 1.8
+20 0 0 0 0 36 40 64 1.2
+20 0 0 0 0 36 44 64 0.6
+20 0 0 0 0 36 48 64 6.2803698347351e-16
+20 0 0 0 0 36 52 64 0.6
+20 0 0 0 0 36 56 64 1.2
+20 0 0 0 0 36 60 64 1.8
+20 0 0 0 0 36 64 64 2.4
+20 0 0 0 0 36 68 64 3
+20 0 0 0 0 36 72 64 3.6
+20 0 0 0 0 36 76 64 4.2
+20 0 0 0 0 36 80 64 4.8
+20 0 0 0 0 36 84 64 5.4
+20 0 0 0 0 36 88 64 6
+20 0 0 0 0 36 92 64 6.6
+20 0 0 0 0 36 96 64 7.2
+20 0 0 0 0 36 100 64 7.8
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 39 64 1.35
+21 0 2 0 0 36 40 64 1.2
+21 0 2 0 0 36 41 64 1.05
+21 0 2 0 0 36 42 64 0.9
+21 0 2 0 0 36 43 64 0.75
+21 0 2 0 0 36 44 64 0.6
+21 0 2 0 0 36 45 64 0.45
+21 0 2 0 0 36 46 64 0.3
+21 0 2 0 0 36 47 64 0.15
+21 0 2 0 0 36 48 64 6.2803698347351e-16
+21 0 2 0 0 36 49 64 0.15
+21 0 2 0 0 36 50 64 0.3
+21 0 2 0 0 36 51 64 0.45
+21 0 2 0 0 36 52 64 0.6
+21 0 2 0 0 36 53 64 0.75
+21 0 2 0 0 36 54 64 0.899999999999999
+21 0 2 0 0 36 55 64 1.05
+21 0 2 0 0 36 56 64 1.2
+21 0 2 0 0 36 57 64 1.35
+21 0 2 0 0 36 58 64 1.5
+21 0 2 0 0 36 59 64 1.65
+21 0 2 0 0 36 60 64 1.8
+21 0 2 0 0 36 61 64 1.95
+21 0 2 0 0 36 62 64 2.1
+21 0 2 0 0 36 63 64 2.25
+21 0 2 0 0 36 64 64 2.4
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 39 64 1.35
+22 0 2 0 0 36 40 64 1.2
+22 0 2 0 0 36 41 64 1.05
+22 0 2 0 0 36 42 64 0.9
+22 0 2 0 0 36 43 64 0.75
+22 0 2 0 0 36 44 64 0.6
+22 0 2 0 0 36 45 64 0.45
+22 0 2 0 0 36 46 64 0.3
+22 0 2 0 0 36 47 64 0.15
+22 0 2 0 0 36 48 64 6.2803698347351e-16
+22 0 2 0 0 36 49 64 0.15
+22 0 2 0 0 36 50 64 0.3
+22 0 2 0 0 36 51 64 0.45
+22 0 2 0 0 36 52 64 0.6
+22 0 2 0 0 36 53 64 0.75
+22 0 2 0 0 36 54 64 0.899999999999999
+22 0 2 0 0 36 55 64 1.05
+22 0 2 0 0 36 56 64 1.2
+22 0 2 0 0 36 57 64 1.35
+22 0 2 0 0 36 58 64 1.5
+22 0 2 0 0 36 59 64 1.65
+22 0 2 0 0 36 60 64 1.8
+22 0 2 0 0 36 61 64 1.95
+22 0 2 0 0 36 62 64 2.1
+22 0 2 0 0 36 63 64 2.25
+22 0 2 0 0 36 64 64 2.4
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 26 64 3.3
+22 0 1 0 0 36 28 64 3
+22 0 1 0 0 36 30 64 2.7
+22 0 1 0 0 36 32 64 2.4
+22 0 1 0 0 36 34 64 2.1
+22 0 1 0 0 36 36 64 1.8
+22 0 1 0 0 36 38 64 1.5
+22 0 1 0 0 36 40 64 1.2
+22 0 1 0 0 36 42 64 0.9
+22 0 1 0 0 36 44 64 0.6
+22 0 1 0 0 36 46 64 0.3
+22 0 1 0 0 36 48 64 6.2803698347351e-16
+22 0 1 0 0 36 50 64 0.3
+22 0 1 0 0 36 52 64 0.6
+22 0 1 0 0 36 54 64 0.899999999999999
+22 0 1 0 0 36 56 64 1.2
+22 0 1 0 0 36 58 64 1.5
+22 0 1 0 0 36 60 64 1.8
+22 0 1 0 0 36 62 64 2.1
+22 0 1 0 0 36 64 64 2.4
+22 0 1 0 0 36 66 64 2.7
+22 0 1 0 0 36 68 64 3
+22 0 1 0 0 36 70 64 3.3
+22 0 1 0 0 36 72 64 3.6
+22 0 1 0 0 36 74 64 3.9
+22 0 1 0 0 36 76 64 4.2
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 39 64 1.35
+23 0 2 0 0 36 40 64 1.2
+23 0 2 0 0 36 41 64 1.05
+23 0 2 0 0 36 42 64 0.9
+23 0 2 0 0 36 43 64 0.75
+23 0 2 0 0 36 44 64 0.6
+23 0 2 0 0 36 45 64 0.45
+23 0 2 0 0 36 46 64 0.3
+23 0 2 0 0 36 47 64 0.15
+23 0 2 0 0 36 48 64 6.2803698347351e-16
+23 0 2 0 0 36 49 64 0.15
+23 0 2 0 0 36 50 64 0.3
+23 0 2 0 0 36 51 64 0.45
+23 0 2 0 0 36 52 64 0.6
+23 0 2 0 0 36 53 64 0.75
+23 0 2 0 0 36 54 64 0.899999999999999
+23 0 2 0 0 36 55 64 1.05
+23 0 2 0 0 36 56 64 1.2
+23 0 2 0 0 36 57 64 1.35
+23 0 2 0 0 36 58 64 1.5
+23 0 2 0 0 36 59 64 1.65
+23 0 2 0 0 36 60 64 1.8
+23 0 2 0 0 36 61 64 1.95
+23 0 2 0 0 36 62 64 2.1
+23 0 2 0 0 36 63 64 2.25
+23 0 2 0 0 36 64 64 2.4
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 39 64 1.35
+24 0 2 0 0 36 40 64 1.2
+24 0 2 0 0 36 41 64 1.05
+24 0 2 0 0 36 42 64 0.9
+24 0 2 0 0 36 43 64 0.75
+24 0 2 0 0 36 44 64 0.6
+24 0 2 0 0 36 45 64 0.45
+24 0 2 0 0 36 46 64 0.3
+24 0 2 0 0 36 47 64 0.15
+24 0 2 0 0 36 48 64 6.2803698347351e-16
+24 0 2 0 0 36 49 64 0.15
+24 0 2 0 0 36 50 64 0.3
+24 0 2 0 0 36 51 64 0.45
+24 0 2 0 0 36 52 64 0.6
+24 0 2 0 0 36 53 64 0.75
+24 0 2 0 0 36 54 64 0.899999999999999
+24 0 2 0 0 36 55 64 1.05
+24 0 2 0 0 36 56 64 1.2
+24 0 2 0 0 36 57 64 1.35
+24 0 2 0 0 36 58 64 1.5
+24 0 2 0 0 36 59 64 1.65
+24 0 2 0 0 36 60 64 1.8
+24 0 2 0 0 36 61 64 1.95
+24 0 2 0 0 36 62 64 2.1
+24 0 2 0 0 36 63 64 2.25
+24 0 2 0 0 36 64 64 2.4
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 26 64 3.3
+24 0 1 0 0 36 28 64 3
+24 0 1 0 0 36 30 64 2.7
+24 0 1 0 0 36 32 64 2.4
+24 0 1 0 0 36 34 64 2.1
+24 0 1 0 0 36 36 64 1.8
+24 0 1 0 0 36 38 64 1.5
+24 0 1 0 0 36 40 64 1.2
+24 0 1 0 0 36 42 64 0.9
+24 0 1 0 0 36 44 64 0.6
+24 0 1 0 0 36 46 64 0.3
+24 0 1 0 0 36 48 64 6.2803698347351e-16
+24 0 1 0 0 36 50 64 0.3
+24 0 1 0 0 36 52 64 0.6
+24 0 1 0 0 36 54 64 0.899999999999999
+24 0 1 0 0 36 56 64 1.2
+24 0 1 0 0 36 58 64 1.5
+24 0 1 0 0 36 60 64 1.8
+24 0 1 0 0 36 62 64 2.1
+24 0 1 0 0 36 64 64 2.4
+24 0 1 0 0 36 66 64 2.7
+24 0 1 0 0 36 68 64 3
+24 0 1 0 0 36 70 64 3.3
+24 0 1 0 0 36 72 64 3.6
+24 0 1 0 0 36 74 64 3.9
+24 0 1 0 0 36 76 64 4.2
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 0 64 7.2
+24 0 0 0 0 36 4 64 6.6
+24 0 0 0 0 36 8 64 6
+24 0 0 0 0 36 12 64 5.4
+24 0 0 0 0 36 16 64 4.8
+24 0 0 0 0 36 20 64 4.2
+24 0 0 0 0 36 24 64 3.6
+24 0 0 0 0 36 28 64 3
+24 0 0 0 0 36 32 64 2.4
+24 0 0 0 0 36 36 64 1.8
+24 0 0 0 0 36 40 64 1.2
+24 0 0 0 0 36 44 64 0.6
+24 0 0 0 0 36 48 64 6.2803698347351e-16
+24 0 0 0 0 36 52 64 0.6
+24 0 0 0 0 36 56 64 1.2
+24 0 0 0 0 36 60 64 1.8
+24 0 0 0 0 36 64 64 2.4
+24 0 0 0 0 36 68 64 3
+24 0 0 0 0 36 72 64 3.6
+24 0 0 0 0 36 76 64 4.2
+24 0 0 0 0 36 80 64 4.8
+24 0 0 0 0 36 84 64 5.4
+24 0 0 0 0 36 88 64 6
+24 0 0 0 0 36 92 64 6.6
+24 0 0 0 0 36 96 64 7.2
+24 0 0 0 0 36 100 64 7.8
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/spher3d_r.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/spher3d_r.zl
new file mode 100644
index 000000000..6577f6504
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_periodic_coarse_rl3/spher3d_r.zl
@@ -0,0 +1,1757 @@
+# GRID::spher3d_r z (spher3d_r)
+#
+# iteration 0
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 2 0 0 36 48 51 1.95
+0 0 2 0 0 36 48 52 1.8
+0 0 2 0 0 36 48 53 1.65
+0 0 2 0 0 36 48 54 1.5
+0 0 2 0 0 36 48 55 1.35
+0 0 2 0 0 36 48 56 1.2
+0 0 2 0 0 36 48 57 1.05
+0 0 2 0 0 36 48 58 0.9
+0 0 2 0 0 36 48 59 0.75
+0 0 2 0 0 36 48 60 0.6
+0 0 2 0 0 36 48 61 0.45
+0 0 2 0 0 36 48 62 0.3
+0 0 2 0 0 36 48 63 0.15
+0 0 2 0 0 36 48 64 6.2803698347351e-16
+0 0 2 0 0 36 48 65 0.15
+0 0 2 0 0 36 48 66 0.3
+0 0 2 0 0 36 48 67 0.45
+0 0 2 0 0 36 48 68 0.6
+0 0 2 0 0 36 48 69 0.75
+0 0 2 0 0 36 48 70 0.9
+0 0 2 0 0 36 48 71 1.05
+0 0 2 0 0 36 48 72 1.2
+0 0 2 0 0 36 48 73 1.35
+0 0 2 0 0 36 48 74 1.5
+0 0 2 0 0 36 48 75 1.65
+0 0 2 0 0 36 48 76 1.8
+0 0 2 0 0 36 48 77 1.95
+0 0 2 0 0 36 48 78 2.1
+0 0 2 0 0 36 48 79 2.25
+0 0 2 0 0 36 48 80 2.4
+0 0 2 0 0 36 48 81 2.55
+0 0 2 0 0 36 48 82 2.7
+0 0 2 0 0 36 48 83 2.85
+0 0 2 0 0 36 48 84 3
+
+
+# iteration 0
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 1 0 0 36 48 34 4.5
+0 0 1 0 0 36 48 36 4.2
+0 0 1 0 0 36 48 38 3.9
+0 0 1 0 0 36 48 40 3.6
+0 0 1 0 0 36 48 42 3.3
+0 0 1 0 0 36 48 44 3
+0 0 1 0 0 36 48 46 2.7
+0 0 1 0 0 36 48 48 2.4
+0 0 1 0 0 36 48 50 2.1
+0 0 1 0 0 36 48 52 1.8
+0 0 1 0 0 36 48 54 1.5
+0 0 1 0 0 36 48 56 1.2
+0 0 1 0 0 36 48 58 0.9
+0 0 1 0 0 36 48 60 0.6
+0 0 1 0 0 36 48 62 0.3
+0 0 1 0 0 36 48 64 6.2803698347351e-16
+0 0 1 0 0 36 48 66 0.3
+0 0 1 0 0 36 48 68 0.6
+0 0 1 0 0 36 48 70 0.9
+0 0 1 0 0 36 48 72 1.2
+0 0 1 0 0 36 48 74 1.5
+0 0 1 0 0 36 48 76 1.8
+0 0 1 0 0 36 48 78 2.1
+0 0 1 0 0 36 48 80 2.4
+0 0 1 0 0 36 48 82 2.7
+0 0 1 0 0 36 48 84 3
+0 0 1 0 0 36 48 86 3.3
+0 0 1 0 0 36 48 88 3.6
+0 0 1 0 0 36 48 90 3.9
+0 0 1 0 0 36 48 92 4.2
+0 0 1 0 0 36 48 94 4.5
+0 0 1 0 0 36 48 96 4.8
+0 0 1 0 0 36 48 98 5.1
+0 0 1 0 0 36 48 100 5.4
+
+
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 36 48 0 9.6
+0 0 0 0 0 36 48 4 9
+0 0 0 0 0 36 48 8 8.4
+0 0 0 0 0 36 48 12 7.8
+0 0 0 0 0 36 48 16 7.2
+0 0 0 0 0 36 48 20 6.6
+0 0 0 0 0 36 48 24 6
+0 0 0 0 0 36 48 28 5.4
+0 0 0 0 0 36 48 32 4.8
+0 0 0 0 0 36 48 36 4.2
+0 0 0 0 0 36 48 40 3.6
+0 0 0 0 0 36 48 44 3
+0 0 0 0 0 36 48 48 2.4
+0 0 0 0 0 36 48 52 1.8
+0 0 0 0 0 36 48 56 1.2
+0 0 0 0 0 36 48 60 0.6
+0 0 0 0 0 36 48 64 6.2803698347351e-16
+0 0 0 0 0 36 48 68 0.6
+0 0 0 0 0 36 48 72 1.2
+0 0 0 0 0 36 48 76 1.8
+0 0 0 0 0 36 48 80 2.4
+0 0 0 0 0 36 48 84 3
+0 0 0 0 0 36 48 88 3.6
+0 0 0 0 0 36 48 92 4.2
+0 0 0 0 0 36 48 96 4.8
+0 0 0 0 0 36 48 100 5.4
+0 0 0 0 0 36 48 104 6
+0 0 0 0 0 36 48 108 6.6
+0 0 0 0 0 36 48 112 7.2
+0 0 0 0 0 36 48 116 7.8
+0 0 0 0 0 36 48 120 8.4
+0 0 0 0 0 36 48 124 9
+0 0 0 0 0 36 48 128 9.6
+0 0 0 0 0 36 48 132 10.2
+
+
+# iteration 1
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 2 0 0 36 48 51 1.95
+1 0 2 0 0 36 48 52 1.8
+1 0 2 0 0 36 48 53 1.65
+1 0 2 0 0 36 48 54 1.5
+1 0 2 0 0 36 48 55 1.35
+1 0 2 0 0 36 48 56 1.2
+1 0 2 0 0 36 48 57 1.05
+1 0 2 0 0 36 48 58 0.9
+1 0 2 0 0 36 48 59 0.75
+1 0 2 0 0 36 48 60 0.6
+1 0 2 0 0 36 48 61 0.45
+1 0 2 0 0 36 48 62 0.3
+1 0 2 0 0 36 48 63 0.15
+1 0 2 0 0 36 48 64 6.2803698347351e-16
+1 0 2 0 0 36 48 65 0.15
+1 0 2 0 0 36 48 66 0.3
+1 0 2 0 0 36 48 67 0.45
+1 0 2 0 0 36 48 68 0.6
+1 0 2 0 0 36 48 69 0.75
+1 0 2 0 0 36 48 70 0.9
+1 0 2 0 0 36 48 71 1.05
+1 0 2 0 0 36 48 72 1.2
+1 0 2 0 0 36 48 73 1.35
+1 0 2 0 0 36 48 74 1.5
+1 0 2 0 0 36 48 75 1.65
+1 0 2 0 0 36 48 76 1.8
+1 0 2 0 0 36 48 77 1.95
+1 0 2 0 0 36 48 78 2.1
+1 0 2 0 0 36 48 79 2.25
+1 0 2 0 0 36 48 80 2.4
+1 0 2 0 0 36 48 81 2.55
+1 0 2 0 0 36 48 82 2.7
+1 0 2 0 0 36 48 83 2.85
+1 0 2 0 0 36 48 84 3
+
+
+# iteration 2
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 2 0 0 36 48 51 1.95
+2 0 2 0 0 36 48 52 1.8
+2 0 2 0 0 36 48 53 1.65
+2 0 2 0 0 36 48 54 1.5
+2 0 2 0 0 36 48 55 1.35
+2 0 2 0 0 36 48 56 1.2
+2 0 2 0 0 36 48 57 1.05
+2 0 2 0 0 36 48 58 0.9
+2 0 2 0 0 36 48 59 0.75
+2 0 2 0 0 36 48 60 0.6
+2 0 2 0 0 36 48 61 0.45
+2 0 2 0 0 36 48 62 0.3
+2 0 2 0 0 36 48 63 0.15
+2 0 2 0 0 36 48 64 6.2803698347351e-16
+2 0 2 0 0 36 48 65 0.15
+2 0 2 0 0 36 48 66 0.3
+2 0 2 0 0 36 48 67 0.45
+2 0 2 0 0 36 48 68 0.6
+2 0 2 0 0 36 48 69 0.75
+2 0 2 0 0 36 48 70 0.9
+2 0 2 0 0 36 48 71 1.05
+2 0 2 0 0 36 48 72 1.2
+2 0 2 0 0 36 48 73 1.35
+2 0 2 0 0 36 48 74 1.5
+2 0 2 0 0 36 48 75 1.65
+2 0 2 0 0 36 48 76 1.8
+2 0 2 0 0 36 48 77 1.95
+2 0 2 0 0 36 48 78 2.1
+2 0 2 0 0 36 48 79 2.25
+2 0 2 0 0 36 48 80 2.4
+2 0 2 0 0 36 48 81 2.55
+2 0 2 0 0 36 48 82 2.7
+2 0 2 0 0 36 48 83 2.85
+2 0 2 0 0 36 48 84 3
+
+
+# iteration 2
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 1 0 0 36 48 34 4.5
+2 0 1 0 0 36 48 36 4.2
+2 0 1 0 0 36 48 38 3.9
+2 0 1 0 0 36 48 40 3.6
+2 0 1 0 0 36 48 42 3.3
+2 0 1 0 0 36 48 44 3
+2 0 1 0 0 36 48 46 2.7
+2 0 1 0 0 36 48 48 2.4
+2 0 1 0 0 36 48 50 2.1
+2 0 1 0 0 36 48 52 1.8
+2 0 1 0 0 36 48 54 1.5
+2 0 1 0 0 36 48 56 1.2
+2 0 1 0 0 36 48 58 0.9
+2 0 1 0 0 36 48 60 0.6
+2 0 1 0 0 36 48 62 0.3
+2 0 1 0 0 36 48 64 6.2803698347351e-16
+2 0 1 0 0 36 48 66 0.3
+2 0 1 0 0 36 48 68 0.6
+2 0 1 0 0 36 48 70 0.9
+2 0 1 0 0 36 48 72 1.2
+2 0 1 0 0 36 48 74 1.5
+2 0 1 0 0 36 48 76 1.8
+2 0 1 0 0 36 48 78 2.1
+2 0 1 0 0 36 48 80 2.4
+2 0 1 0 0 36 48 82 2.7
+2 0 1 0 0 36 48 84 3
+2 0 1 0 0 36 48 86 3.3
+2 0 1 0 0 36 48 88 3.6
+2 0 1 0 0 36 48 90 3.9
+2 0 1 0 0 36 48 92 4.2
+2 0 1 0 0 36 48 94 4.5
+2 0 1 0 0 36 48 96 4.8
+2 0 1 0 0 36 48 98 5.1
+2 0 1 0 0 36 48 100 5.4
+
+
+# iteration 3
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 2 0 0 36 48 51 1.95
+3 0 2 0 0 36 48 52 1.8
+3 0 2 0 0 36 48 53 1.65
+3 0 2 0 0 36 48 54 1.5
+3 0 2 0 0 36 48 55 1.35
+3 0 2 0 0 36 48 56 1.2
+3 0 2 0 0 36 48 57 1.05
+3 0 2 0 0 36 48 58 0.9
+3 0 2 0 0 36 48 59 0.75
+3 0 2 0 0 36 48 60 0.6
+3 0 2 0 0 36 48 61 0.45
+3 0 2 0 0 36 48 62 0.3
+3 0 2 0 0 36 48 63 0.15
+3 0 2 0 0 36 48 64 6.2803698347351e-16
+3 0 2 0 0 36 48 65 0.15
+3 0 2 0 0 36 48 66 0.3
+3 0 2 0 0 36 48 67 0.45
+3 0 2 0 0 36 48 68 0.6
+3 0 2 0 0 36 48 69 0.75
+3 0 2 0 0 36 48 70 0.9
+3 0 2 0 0 36 48 71 1.05
+3 0 2 0 0 36 48 72 1.2
+3 0 2 0 0 36 48 73 1.35
+3 0 2 0 0 36 48 74 1.5
+3 0 2 0 0 36 48 75 1.65
+3 0 2 0 0 36 48 76 1.8
+3 0 2 0 0 36 48 77 1.95
+3 0 2 0 0 36 48 78 2.1
+3 0 2 0 0 36 48 79 2.25
+3 0 2 0 0 36 48 80 2.4
+3 0 2 0 0 36 48 81 2.55
+3 0 2 0 0 36 48 82 2.7
+3 0 2 0 0 36 48 83 2.85
+3 0 2 0 0 36 48 84 3
+
+
+# iteration 4
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 2 0 0 36 48 51 1.95
+4 0 2 0 0 36 48 52 1.8
+4 0 2 0 0 36 48 53 1.65
+4 0 2 0 0 36 48 54 1.5
+4 0 2 0 0 36 48 55 1.35
+4 0 2 0 0 36 48 56 1.2
+4 0 2 0 0 36 48 57 1.05
+4 0 2 0 0 36 48 58 0.9
+4 0 2 0 0 36 48 59 0.75
+4 0 2 0 0 36 48 60 0.6
+4 0 2 0 0 36 48 61 0.45
+4 0 2 0 0 36 48 62 0.3
+4 0 2 0 0 36 48 63 0.15
+4 0 2 0 0 36 48 64 6.2803698347351e-16
+4 0 2 0 0 36 48 65 0.15
+4 0 2 0 0 36 48 66 0.3
+4 0 2 0 0 36 48 67 0.45
+4 0 2 0 0 36 48 68 0.6
+4 0 2 0 0 36 48 69 0.75
+4 0 2 0 0 36 48 70 0.9
+4 0 2 0 0 36 48 71 1.05
+4 0 2 0 0 36 48 72 1.2
+4 0 2 0 0 36 48 73 1.35
+4 0 2 0 0 36 48 74 1.5
+4 0 2 0 0 36 48 75 1.65
+4 0 2 0 0 36 48 76 1.8
+4 0 2 0 0 36 48 77 1.95
+4 0 2 0 0 36 48 78 2.1
+4 0 2 0 0 36 48 79 2.25
+4 0 2 0 0 36 48 80 2.4
+4 0 2 0 0 36 48 81 2.55
+4 0 2 0 0 36 48 82 2.7
+4 0 2 0 0 36 48 83 2.85
+4 0 2 0 0 36 48 84 3
+
+
+# iteration 4
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 1 0 0 36 48 34 4.5
+4 0 1 0 0 36 48 36 4.2
+4 0 1 0 0 36 48 38 3.9
+4 0 1 0 0 36 48 40 3.6
+4 0 1 0 0 36 48 42 3.3
+4 0 1 0 0 36 48 44 3
+4 0 1 0 0 36 48 46 2.7
+4 0 1 0 0 36 48 48 2.4
+4 0 1 0 0 36 48 50 2.1
+4 0 1 0 0 36 48 52 1.8
+4 0 1 0 0 36 48 54 1.5
+4 0 1 0 0 36 48 56 1.2
+4 0 1 0 0 36 48 58 0.9
+4 0 1 0 0 36 48 60 0.6
+4 0 1 0 0 36 48 62 0.3
+4 0 1 0 0 36 48 64 6.2803698347351e-16
+4 0 1 0 0 36 48 66 0.3
+4 0 1 0 0 36 48 68 0.6
+4 0 1 0 0 36 48 70 0.9
+4 0 1 0 0 36 48 72 1.2
+4 0 1 0 0 36 48 74 1.5
+4 0 1 0 0 36 48 76 1.8
+4 0 1 0 0 36 48 78 2.1
+4 0 1 0 0 36 48 80 2.4
+4 0 1 0 0 36 48 82 2.7
+4 0 1 0 0 36 48 84 3
+4 0 1 0 0 36 48 86 3.3
+4 0 1 0 0 36 48 88 3.6
+4 0 1 0 0 36 48 90 3.9
+4 0 1 0 0 36 48 92 4.2
+4 0 1 0 0 36 48 94 4.5
+4 0 1 0 0 36 48 96 4.8
+4 0 1 0 0 36 48 98 5.1
+4 0 1 0 0 36 48 100 5.4
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 36 48 0 9.6
+4 0 0 0 0 36 48 4 9
+4 0 0 0 0 36 48 8 8.4
+4 0 0 0 0 36 48 12 7.8
+4 0 0 0 0 36 48 16 7.2
+4 0 0 0 0 36 48 20 6.6
+4 0 0 0 0 36 48 24 6
+4 0 0 0 0 36 48 28 5.4
+4 0 0 0 0 36 48 32 4.8
+4 0 0 0 0 36 48 36 4.2
+4 0 0 0 0 36 48 40 3.6
+4 0 0 0 0 36 48 44 3
+4 0 0 0 0 36 48 48 2.4
+4 0 0 0 0 36 48 52 1.8
+4 0 0 0 0 36 48 56 1.2
+4 0 0 0 0 36 48 60 0.6
+4 0 0 0 0 36 48 64 6.2803698347351e-16
+4 0 0 0 0 36 48 68 0.6
+4 0 0 0 0 36 48 72 1.2
+4 0 0 0 0 36 48 76 1.8
+4 0 0 0 0 36 48 80 2.4
+4 0 0 0 0 36 48 84 3
+4 0 0 0 0 36 48 88 3.6
+4 0 0 0 0 36 48 92 4.2
+4 0 0 0 0 36 48 96 4.8
+4 0 0 0 0 36 48 100 5.4
+4 0 0 0 0 36 48 104 6
+4 0 0 0 0 36 48 108 6.6
+4 0 0 0 0 36 48 112 7.2
+4 0 0 0 0 36 48 116 7.8
+4 0 0 0 0 36 48 120 8.4
+4 0 0 0 0 36 48 124 9
+4 0 0 0 0 36 48 128 9.6
+4 0 0 0 0 36 48 132 10.2
+
+
+# iteration 5
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+5 0 2 0 0 36 48 51 1.95
+5 0 2 0 0 36 48 52 1.8
+5 0 2 0 0 36 48 53 1.65
+5 0 2 0 0 36 48 54 1.5
+5 0 2 0 0 36 48 55 1.35
+5 0 2 0 0 36 48 56 1.2
+5 0 2 0 0 36 48 57 1.05
+5 0 2 0 0 36 48 58 0.9
+5 0 2 0 0 36 48 59 0.75
+5 0 2 0 0 36 48 60 0.6
+5 0 2 0 0 36 48 61 0.45
+5 0 2 0 0 36 48 62 0.3
+5 0 2 0 0 36 48 63 0.15
+5 0 2 0 0 36 48 64 6.2803698347351e-16
+5 0 2 0 0 36 48 65 0.15
+5 0 2 0 0 36 48 66 0.3
+5 0 2 0 0 36 48 67 0.45
+5 0 2 0 0 36 48 68 0.6
+5 0 2 0 0 36 48 69 0.75
+5 0 2 0 0 36 48 70 0.9
+5 0 2 0 0 36 48 71 1.05
+5 0 2 0 0 36 48 72 1.2
+5 0 2 0 0 36 48 73 1.35
+5 0 2 0 0 36 48 74 1.5
+5 0 2 0 0 36 48 75 1.65
+5 0 2 0 0 36 48 76 1.8
+5 0 2 0 0 36 48 77 1.95
+5 0 2 0 0 36 48 78 2.1
+5 0 2 0 0 36 48 79 2.25
+5 0 2 0 0 36 48 80 2.4
+5 0 2 0 0 36 48 81 2.55
+5 0 2 0 0 36 48 82 2.7
+5 0 2 0 0 36 48 83 2.85
+5 0 2 0 0 36 48 84 3
+
+
+# iteration 6
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 2 0 0 36 48 51 1.95
+6 0 2 0 0 36 48 52 1.8
+6 0 2 0 0 36 48 53 1.65
+6 0 2 0 0 36 48 54 1.5
+6 0 2 0 0 36 48 55 1.35
+6 0 2 0 0 36 48 56 1.2
+6 0 2 0 0 36 48 57 1.05
+6 0 2 0 0 36 48 58 0.9
+6 0 2 0 0 36 48 59 0.75
+6 0 2 0 0 36 48 60 0.6
+6 0 2 0 0 36 48 61 0.45
+6 0 2 0 0 36 48 62 0.3
+6 0 2 0 0 36 48 63 0.15
+6 0 2 0 0 36 48 64 6.2803698347351e-16
+6 0 2 0 0 36 48 65 0.15
+6 0 2 0 0 36 48 66 0.3
+6 0 2 0 0 36 48 67 0.45
+6 0 2 0 0 36 48 68 0.6
+6 0 2 0 0 36 48 69 0.75
+6 0 2 0 0 36 48 70 0.9
+6 0 2 0 0 36 48 71 1.05
+6 0 2 0 0 36 48 72 1.2
+6 0 2 0 0 36 48 73 1.35
+6 0 2 0 0 36 48 74 1.5
+6 0 2 0 0 36 48 75 1.65
+6 0 2 0 0 36 48 76 1.8
+6 0 2 0 0 36 48 77 1.95
+6 0 2 0 0 36 48 78 2.1
+6 0 2 0 0 36 48 79 2.25
+6 0 2 0 0 36 48 80 2.4
+6 0 2 0 0 36 48 81 2.55
+6 0 2 0 0 36 48 82 2.7
+6 0 2 0 0 36 48 83 2.85
+6 0 2 0 0 36 48 84 3
+
+
+# iteration 6
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+6 0 1 0 0 36 48 34 4.5
+6 0 1 0 0 36 48 36 4.2
+6 0 1 0 0 36 48 38 3.9
+6 0 1 0 0 36 48 40 3.6
+6 0 1 0 0 36 48 42 3.3
+6 0 1 0 0 36 48 44 3
+6 0 1 0 0 36 48 46 2.7
+6 0 1 0 0 36 48 48 2.4
+6 0 1 0 0 36 48 50 2.1
+6 0 1 0 0 36 48 52 1.8
+6 0 1 0 0 36 48 54 1.5
+6 0 1 0 0 36 48 56 1.2
+6 0 1 0 0 36 48 58 0.9
+6 0 1 0 0 36 48 60 0.6
+6 0 1 0 0 36 48 62 0.3
+6 0 1 0 0 36 48 64 6.2803698347351e-16
+6 0 1 0 0 36 48 66 0.3
+6 0 1 0 0 36 48 68 0.6
+6 0 1 0 0 36 48 70 0.9
+6 0 1 0 0 36 48 72 1.2
+6 0 1 0 0 36 48 74 1.5
+6 0 1 0 0 36 48 76 1.8
+6 0 1 0 0 36 48 78 2.1
+6 0 1 0 0 36 48 80 2.4
+6 0 1 0 0 36 48 82 2.7
+6 0 1 0 0 36 48 84 3
+6 0 1 0 0 36 48 86 3.3
+6 0 1 0 0 36 48 88 3.6
+6 0 1 0 0 36 48 90 3.9
+6 0 1 0 0 36 48 92 4.2
+6 0 1 0 0 36 48 94 4.5
+6 0 1 0 0 36 48 96 4.8
+6 0 1 0 0 36 48 98 5.1
+6 0 1 0 0 36 48 100 5.4
+
+
+# iteration 7
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+7 0 2 0 0 36 48 51 1.95
+7 0 2 0 0 36 48 52 1.8
+7 0 2 0 0 36 48 53 1.65
+7 0 2 0 0 36 48 54 1.5
+7 0 2 0 0 36 48 55 1.35
+7 0 2 0 0 36 48 56 1.2
+7 0 2 0 0 36 48 57 1.05
+7 0 2 0 0 36 48 58 0.9
+7 0 2 0 0 36 48 59 0.75
+7 0 2 0 0 36 48 60 0.6
+7 0 2 0 0 36 48 61 0.45
+7 0 2 0 0 36 48 62 0.3
+7 0 2 0 0 36 48 63 0.15
+7 0 2 0 0 36 48 64 6.2803698347351e-16
+7 0 2 0 0 36 48 65 0.15
+7 0 2 0 0 36 48 66 0.3
+7 0 2 0 0 36 48 67 0.45
+7 0 2 0 0 36 48 68 0.6
+7 0 2 0 0 36 48 69 0.75
+7 0 2 0 0 36 48 70 0.9
+7 0 2 0 0 36 48 71 1.05
+7 0 2 0 0 36 48 72 1.2
+7 0 2 0 0 36 48 73 1.35
+7 0 2 0 0 36 48 74 1.5
+7 0 2 0 0 36 48 75 1.65
+7 0 2 0 0 36 48 76 1.8
+7 0 2 0 0 36 48 77 1.95
+7 0 2 0 0 36 48 78 2.1
+7 0 2 0 0 36 48 79 2.25
+7 0 2 0 0 36 48 80 2.4
+7 0 2 0 0 36 48 81 2.55
+7 0 2 0 0 36 48 82 2.7
+7 0 2 0 0 36 48 83 2.85
+7 0 2 0 0 36 48 84 3
+
+
+# iteration 8
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 2 0 0 36 48 51 1.95
+8 0 2 0 0 36 48 52 1.8
+8 0 2 0 0 36 48 53 1.65
+8 0 2 0 0 36 48 54 1.5
+8 0 2 0 0 36 48 55 1.35
+8 0 2 0 0 36 48 56 1.2
+8 0 2 0 0 36 48 57 1.05
+8 0 2 0 0 36 48 58 0.9
+8 0 2 0 0 36 48 59 0.75
+8 0 2 0 0 36 48 60 0.6
+8 0 2 0 0 36 48 61 0.45
+8 0 2 0 0 36 48 62 0.3
+8 0 2 0 0 36 48 63 0.15
+8 0 2 0 0 36 48 64 6.2803698347351e-16
+8 0 2 0 0 36 48 65 0.15
+8 0 2 0 0 36 48 66 0.3
+8 0 2 0 0 36 48 67 0.45
+8 0 2 0 0 36 48 68 0.6
+8 0 2 0 0 36 48 69 0.75
+8 0 2 0 0 36 48 70 0.9
+8 0 2 0 0 36 48 71 1.05
+8 0 2 0 0 36 48 72 1.2
+8 0 2 0 0 36 48 73 1.35
+8 0 2 0 0 36 48 74 1.5
+8 0 2 0 0 36 48 75 1.65
+8 0 2 0 0 36 48 76 1.8
+8 0 2 0 0 36 48 77 1.95
+8 0 2 0 0 36 48 78 2.1
+8 0 2 0 0 36 48 79 2.25
+8 0 2 0 0 36 48 80 2.4
+8 0 2 0 0 36 48 81 2.55
+8 0 2 0 0 36 48 82 2.7
+8 0 2 0 0 36 48 83 2.85
+8 0 2 0 0 36 48 84 3
+
+
+# iteration 8
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 1 0 0 36 48 34 4.5
+8 0 1 0 0 36 48 36 4.2
+8 0 1 0 0 36 48 38 3.9
+8 0 1 0 0 36 48 40 3.6
+8 0 1 0 0 36 48 42 3.3
+8 0 1 0 0 36 48 44 3
+8 0 1 0 0 36 48 46 2.7
+8 0 1 0 0 36 48 48 2.4
+8 0 1 0 0 36 48 50 2.1
+8 0 1 0 0 36 48 52 1.8
+8 0 1 0 0 36 48 54 1.5
+8 0 1 0 0 36 48 56 1.2
+8 0 1 0 0 36 48 58 0.9
+8 0 1 0 0 36 48 60 0.6
+8 0 1 0 0 36 48 62 0.3
+8 0 1 0 0 36 48 64 6.2803698347351e-16
+8 0 1 0 0 36 48 66 0.3
+8 0 1 0 0 36 48 68 0.6
+8 0 1 0 0 36 48 70 0.9
+8 0 1 0 0 36 48 72 1.2
+8 0 1 0 0 36 48 74 1.5
+8 0 1 0 0 36 48 76 1.8
+8 0 1 0 0 36 48 78 2.1
+8 0 1 0 0 36 48 80 2.4
+8 0 1 0 0 36 48 82 2.7
+8 0 1 0 0 36 48 84 3
+8 0 1 0 0 36 48 86 3.3
+8 0 1 0 0 36 48 88 3.6
+8 0 1 0 0 36 48 90 3.9
+8 0 1 0 0 36 48 92 4.2
+8 0 1 0 0 36 48 94 4.5
+8 0 1 0 0 36 48 96 4.8
+8 0 1 0 0 36 48 98 5.1
+8 0 1 0 0 36 48 100 5.4
+
+
+# iteration 8
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+8 0 0 0 0 36 48 0 9.6
+8 0 0 0 0 36 48 4 9
+8 0 0 0 0 36 48 8 8.4
+8 0 0 0 0 36 48 12 7.8
+8 0 0 0 0 36 48 16 7.2
+8 0 0 0 0 36 48 20 6.6
+8 0 0 0 0 36 48 24 6
+8 0 0 0 0 36 48 28 5.4
+8 0 0 0 0 36 48 32 4.8
+8 0 0 0 0 36 48 36 4.2
+8 0 0 0 0 36 48 40 3.6
+8 0 0 0 0 36 48 44 3
+8 0 0 0 0 36 48 48 2.4
+8 0 0 0 0 36 48 52 1.8
+8 0 0 0 0 36 48 56 1.2
+8 0 0 0 0 36 48 60 0.6
+8 0 0 0 0 36 48 64 6.2803698347351e-16
+8 0 0 0 0 36 48 68 0.6
+8 0 0 0 0 36 48 72 1.2
+8 0 0 0 0 36 48 76 1.8
+8 0 0 0 0 36 48 80 2.4
+8 0 0 0 0 36 48 84 3
+8 0 0 0 0 36 48 88 3.6
+8 0 0 0 0 36 48 92 4.2
+8 0 0 0 0 36 48 96 4.8
+8 0 0 0 0 36 48 100 5.4
+8 0 0 0 0 36 48 104 6
+8 0 0 0 0 36 48 108 6.6
+8 0 0 0 0 36 48 112 7.2
+8 0 0 0 0 36 48 116 7.8
+8 0 0 0 0 36 48 120 8.4
+8 0 0 0 0 36 48 124 9
+8 0 0 0 0 36 48 128 9.6
+8 0 0 0 0 36 48 132 10.2
+
+
+# iteration 9
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+9 0 2 0 0 36 48 51 1.95
+9 0 2 0 0 36 48 52 1.8
+9 0 2 0 0 36 48 53 1.65
+9 0 2 0 0 36 48 54 1.5
+9 0 2 0 0 36 48 55 1.35
+9 0 2 0 0 36 48 56 1.2
+9 0 2 0 0 36 48 57 1.05
+9 0 2 0 0 36 48 58 0.9
+9 0 2 0 0 36 48 59 0.75
+9 0 2 0 0 36 48 60 0.6
+9 0 2 0 0 36 48 61 0.45
+9 0 2 0 0 36 48 62 0.3
+9 0 2 0 0 36 48 63 0.15
+9 0 2 0 0 36 48 64 6.2803698347351e-16
+9 0 2 0 0 36 48 65 0.15
+9 0 2 0 0 36 48 66 0.3
+9 0 2 0 0 36 48 67 0.45
+9 0 2 0 0 36 48 68 0.6
+9 0 2 0 0 36 48 69 0.75
+9 0 2 0 0 36 48 70 0.9
+9 0 2 0 0 36 48 71 1.05
+9 0 2 0 0 36 48 72 1.2
+9 0 2 0 0 36 48 73 1.35
+9 0 2 0 0 36 48 74 1.5
+9 0 2 0 0 36 48 75 1.65
+9 0 2 0 0 36 48 76 1.8
+9 0 2 0 0 36 48 77 1.95
+9 0 2 0 0 36 48 78 2.1
+9 0 2 0 0 36 48 79 2.25
+9 0 2 0 0 36 48 80 2.4
+9 0 2 0 0 36 48 81 2.55
+9 0 2 0 0 36 48 82 2.7
+9 0 2 0 0 36 48 83 2.85
+9 0 2 0 0 36 48 84 3
+
+
+# iteration 10
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 2 0 0 36 48 51 1.95
+10 0 2 0 0 36 48 52 1.8
+10 0 2 0 0 36 48 53 1.65
+10 0 2 0 0 36 48 54 1.5
+10 0 2 0 0 36 48 55 1.35
+10 0 2 0 0 36 48 56 1.2
+10 0 2 0 0 36 48 57 1.05
+10 0 2 0 0 36 48 58 0.9
+10 0 2 0 0 36 48 59 0.75
+10 0 2 0 0 36 48 60 0.6
+10 0 2 0 0 36 48 61 0.45
+10 0 2 0 0 36 48 62 0.3
+10 0 2 0 0 36 48 63 0.15
+10 0 2 0 0 36 48 64 6.2803698347351e-16
+10 0 2 0 0 36 48 65 0.15
+10 0 2 0 0 36 48 66 0.3
+10 0 2 0 0 36 48 67 0.45
+10 0 2 0 0 36 48 68 0.6
+10 0 2 0 0 36 48 69 0.75
+10 0 2 0 0 36 48 70 0.9
+10 0 2 0 0 36 48 71 1.05
+10 0 2 0 0 36 48 72 1.2
+10 0 2 0 0 36 48 73 1.35
+10 0 2 0 0 36 48 74 1.5
+10 0 2 0 0 36 48 75 1.65
+10 0 2 0 0 36 48 76 1.8
+10 0 2 0 0 36 48 77 1.95
+10 0 2 0 0 36 48 78 2.1
+10 0 2 0 0 36 48 79 2.25
+10 0 2 0 0 36 48 80 2.4
+10 0 2 0 0 36 48 81 2.55
+10 0 2 0 0 36 48 82 2.7
+10 0 2 0 0 36 48 83 2.85
+10 0 2 0 0 36 48 84 3
+
+
+# iteration 10
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+10 0 1 0 0 36 48 34 4.5
+10 0 1 0 0 36 48 36 4.2
+10 0 1 0 0 36 48 38 3.9
+10 0 1 0 0 36 48 40 3.6
+10 0 1 0 0 36 48 42 3.3
+10 0 1 0 0 36 48 44 3
+10 0 1 0 0 36 48 46 2.7
+10 0 1 0 0 36 48 48 2.4
+10 0 1 0 0 36 48 50 2.1
+10 0 1 0 0 36 48 52 1.8
+10 0 1 0 0 36 48 54 1.5
+10 0 1 0 0 36 48 56 1.2
+10 0 1 0 0 36 48 58 0.9
+10 0 1 0 0 36 48 60 0.6
+10 0 1 0 0 36 48 62 0.3
+10 0 1 0 0 36 48 64 6.2803698347351e-16
+10 0 1 0 0 36 48 66 0.3
+10 0 1 0 0 36 48 68 0.6
+10 0 1 0 0 36 48 70 0.9
+10 0 1 0 0 36 48 72 1.2
+10 0 1 0 0 36 48 74 1.5
+10 0 1 0 0 36 48 76 1.8
+10 0 1 0 0 36 48 78 2.1
+10 0 1 0 0 36 48 80 2.4
+10 0 1 0 0 36 48 82 2.7
+10 0 1 0 0 36 48 84 3
+10 0 1 0 0 36 48 86 3.3
+10 0 1 0 0 36 48 88 3.6
+10 0 1 0 0 36 48 90 3.9
+10 0 1 0 0 36 48 92 4.2
+10 0 1 0 0 36 48 94 4.5
+10 0 1 0 0 36 48 96 4.8
+10 0 1 0 0 36 48 98 5.1
+10 0 1 0 0 36 48 100 5.4
+
+
+# iteration 11
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+11 0 2 0 0 36 48 51 1.95
+11 0 2 0 0 36 48 52 1.8
+11 0 2 0 0 36 48 53 1.65
+11 0 2 0 0 36 48 54 1.5
+11 0 2 0 0 36 48 55 1.35
+11 0 2 0 0 36 48 56 1.2
+11 0 2 0 0 36 48 57 1.05
+11 0 2 0 0 36 48 58 0.9
+11 0 2 0 0 36 48 59 0.75
+11 0 2 0 0 36 48 60 0.6
+11 0 2 0 0 36 48 61 0.45
+11 0 2 0 0 36 48 62 0.3
+11 0 2 0 0 36 48 63 0.15
+11 0 2 0 0 36 48 64 6.2803698347351e-16
+11 0 2 0 0 36 48 65 0.15
+11 0 2 0 0 36 48 66 0.3
+11 0 2 0 0 36 48 67 0.45
+11 0 2 0 0 36 48 68 0.6
+11 0 2 0 0 36 48 69 0.75
+11 0 2 0 0 36 48 70 0.9
+11 0 2 0 0 36 48 71 1.05
+11 0 2 0 0 36 48 72 1.2
+11 0 2 0 0 36 48 73 1.35
+11 0 2 0 0 36 48 74 1.5
+11 0 2 0 0 36 48 75 1.65
+11 0 2 0 0 36 48 76 1.8
+11 0 2 0 0 36 48 77 1.95
+11 0 2 0 0 36 48 78 2.1
+11 0 2 0 0 36 48 79 2.25
+11 0 2 0 0 36 48 80 2.4
+11 0 2 0 0 36 48 81 2.55
+11 0 2 0 0 36 48 82 2.7
+11 0 2 0 0 36 48 83 2.85
+11 0 2 0 0 36 48 84 3
+
+
+# iteration 12
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 2 0 0 36 48 51 1.95
+12 0 2 0 0 36 48 52 1.8
+12 0 2 0 0 36 48 53 1.65
+12 0 2 0 0 36 48 54 1.5
+12 0 2 0 0 36 48 55 1.35
+12 0 2 0 0 36 48 56 1.2
+12 0 2 0 0 36 48 57 1.05
+12 0 2 0 0 36 48 58 0.9
+12 0 2 0 0 36 48 59 0.75
+12 0 2 0 0 36 48 60 0.6
+12 0 2 0 0 36 48 61 0.45
+12 0 2 0 0 36 48 62 0.3
+12 0 2 0 0 36 48 63 0.15
+12 0 2 0 0 36 48 64 6.2803698347351e-16
+12 0 2 0 0 36 48 65 0.15
+12 0 2 0 0 36 48 66 0.3
+12 0 2 0 0 36 48 67 0.45
+12 0 2 0 0 36 48 68 0.6
+12 0 2 0 0 36 48 69 0.75
+12 0 2 0 0 36 48 70 0.9
+12 0 2 0 0 36 48 71 1.05
+12 0 2 0 0 36 48 72 1.2
+12 0 2 0 0 36 48 73 1.35
+12 0 2 0 0 36 48 74 1.5
+12 0 2 0 0 36 48 75 1.65
+12 0 2 0 0 36 48 76 1.8
+12 0 2 0 0 36 48 77 1.95
+12 0 2 0 0 36 48 78 2.1
+12 0 2 0 0 36 48 79 2.25
+12 0 2 0 0 36 48 80 2.4
+12 0 2 0 0 36 48 81 2.55
+12 0 2 0 0 36 48 82 2.7
+12 0 2 0 0 36 48 83 2.85
+12 0 2 0 0 36 48 84 3
+
+
+# iteration 12
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 1 0 0 36 48 34 4.5
+12 0 1 0 0 36 48 36 4.2
+12 0 1 0 0 36 48 38 3.9
+12 0 1 0 0 36 48 40 3.6
+12 0 1 0 0 36 48 42 3.3
+12 0 1 0 0 36 48 44 3
+12 0 1 0 0 36 48 46 2.7
+12 0 1 0 0 36 48 48 2.4
+12 0 1 0 0 36 48 50 2.1
+12 0 1 0 0 36 48 52 1.8
+12 0 1 0 0 36 48 54 1.5
+12 0 1 0 0 36 48 56 1.2
+12 0 1 0 0 36 48 58 0.9
+12 0 1 0 0 36 48 60 0.6
+12 0 1 0 0 36 48 62 0.3
+12 0 1 0 0 36 48 64 6.2803698347351e-16
+12 0 1 0 0 36 48 66 0.3
+12 0 1 0 0 36 48 68 0.6
+12 0 1 0 0 36 48 70 0.9
+12 0 1 0 0 36 48 72 1.2
+12 0 1 0 0 36 48 74 1.5
+12 0 1 0 0 36 48 76 1.8
+12 0 1 0 0 36 48 78 2.1
+12 0 1 0 0 36 48 80 2.4
+12 0 1 0 0 36 48 82 2.7
+12 0 1 0 0 36 48 84 3
+12 0 1 0 0 36 48 86 3.3
+12 0 1 0 0 36 48 88 3.6
+12 0 1 0 0 36 48 90 3.9
+12 0 1 0 0 36 48 92 4.2
+12 0 1 0 0 36 48 94 4.5
+12 0 1 0 0 36 48 96 4.8
+12 0 1 0 0 36 48 98 5.1
+12 0 1 0 0 36 48 100 5.4
+
+
+# iteration 12
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+12 0 0 0 0 36 48 0 9.6
+12 0 0 0 0 36 48 4 9
+12 0 0 0 0 36 48 8 8.4
+12 0 0 0 0 36 48 12 7.8
+12 0 0 0 0 36 48 16 7.2
+12 0 0 0 0 36 48 20 6.6
+12 0 0 0 0 36 48 24 6
+12 0 0 0 0 36 48 28 5.4
+12 0 0 0 0 36 48 32 4.8
+12 0 0 0 0 36 48 36 4.2
+12 0 0 0 0 36 48 40 3.6
+12 0 0 0 0 36 48 44 3
+12 0 0 0 0 36 48 48 2.4
+12 0 0 0 0 36 48 52 1.8
+12 0 0 0 0 36 48 56 1.2
+12 0 0 0 0 36 48 60 0.6
+12 0 0 0 0 36 48 64 6.2803698347351e-16
+12 0 0 0 0 36 48 68 0.6
+12 0 0 0 0 36 48 72 1.2
+12 0 0 0 0 36 48 76 1.8
+12 0 0 0 0 36 48 80 2.4
+12 0 0 0 0 36 48 84 3
+12 0 0 0 0 36 48 88 3.6
+12 0 0 0 0 36 48 92 4.2
+12 0 0 0 0 36 48 96 4.8
+12 0 0 0 0 36 48 100 5.4
+12 0 0 0 0 36 48 104 6
+12 0 0 0 0 36 48 108 6.6
+12 0 0 0 0 36 48 112 7.2
+12 0 0 0 0 36 48 116 7.8
+12 0 0 0 0 36 48 120 8.4
+12 0 0 0 0 36 48 124 9
+12 0 0 0 0 36 48 128 9.6
+12 0 0 0 0 36 48 132 10.2
+
+
+# iteration 13
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+13 0 2 0 0 36 48 51 1.95
+13 0 2 0 0 36 48 52 1.8
+13 0 2 0 0 36 48 53 1.65
+13 0 2 0 0 36 48 54 1.5
+13 0 2 0 0 36 48 55 1.35
+13 0 2 0 0 36 48 56 1.2
+13 0 2 0 0 36 48 57 1.05
+13 0 2 0 0 36 48 58 0.9
+13 0 2 0 0 36 48 59 0.75
+13 0 2 0 0 36 48 60 0.6
+13 0 2 0 0 36 48 61 0.45
+13 0 2 0 0 36 48 62 0.3
+13 0 2 0 0 36 48 63 0.15
+13 0 2 0 0 36 48 64 6.2803698347351e-16
+13 0 2 0 0 36 48 65 0.15
+13 0 2 0 0 36 48 66 0.3
+13 0 2 0 0 36 48 67 0.45
+13 0 2 0 0 36 48 68 0.6
+13 0 2 0 0 36 48 69 0.75
+13 0 2 0 0 36 48 70 0.9
+13 0 2 0 0 36 48 71 1.05
+13 0 2 0 0 36 48 72 1.2
+13 0 2 0 0 36 48 73 1.35
+13 0 2 0 0 36 48 74 1.5
+13 0 2 0 0 36 48 75 1.65
+13 0 2 0 0 36 48 76 1.8
+13 0 2 0 0 36 48 77 1.95
+13 0 2 0 0 36 48 78 2.1
+13 0 2 0 0 36 48 79 2.25
+13 0 2 0 0 36 48 80 2.4
+13 0 2 0 0 36 48 81 2.55
+13 0 2 0 0 36 48 82 2.7
+13 0 2 0 0 36 48 83 2.85
+13 0 2 0 0 36 48 84 3
+
+
+# iteration 14
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 2 0 0 36 48 51 1.95
+14 0 2 0 0 36 48 52 1.8
+14 0 2 0 0 36 48 53 1.65
+14 0 2 0 0 36 48 54 1.5
+14 0 2 0 0 36 48 55 1.35
+14 0 2 0 0 36 48 56 1.2
+14 0 2 0 0 36 48 57 1.05
+14 0 2 0 0 36 48 58 0.9
+14 0 2 0 0 36 48 59 0.75
+14 0 2 0 0 36 48 60 0.6
+14 0 2 0 0 36 48 61 0.45
+14 0 2 0 0 36 48 62 0.3
+14 0 2 0 0 36 48 63 0.15
+14 0 2 0 0 36 48 64 6.2803698347351e-16
+14 0 2 0 0 36 48 65 0.15
+14 0 2 0 0 36 48 66 0.3
+14 0 2 0 0 36 48 67 0.45
+14 0 2 0 0 36 48 68 0.6
+14 0 2 0 0 36 48 69 0.75
+14 0 2 0 0 36 48 70 0.9
+14 0 2 0 0 36 48 71 1.05
+14 0 2 0 0 36 48 72 1.2
+14 0 2 0 0 36 48 73 1.35
+14 0 2 0 0 36 48 74 1.5
+14 0 2 0 0 36 48 75 1.65
+14 0 2 0 0 36 48 76 1.8
+14 0 2 0 0 36 48 77 1.95
+14 0 2 0 0 36 48 78 2.1
+14 0 2 0 0 36 48 79 2.25
+14 0 2 0 0 36 48 80 2.4
+14 0 2 0 0 36 48 81 2.55
+14 0 2 0 0 36 48 82 2.7
+14 0 2 0 0 36 48 83 2.85
+14 0 2 0 0 36 48 84 3
+
+
+# iteration 14
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+14 0 1 0 0 36 48 34 4.5
+14 0 1 0 0 36 48 36 4.2
+14 0 1 0 0 36 48 38 3.9
+14 0 1 0 0 36 48 40 3.6
+14 0 1 0 0 36 48 42 3.3
+14 0 1 0 0 36 48 44 3
+14 0 1 0 0 36 48 46 2.7
+14 0 1 0 0 36 48 48 2.4
+14 0 1 0 0 36 48 50 2.1
+14 0 1 0 0 36 48 52 1.8
+14 0 1 0 0 36 48 54 1.5
+14 0 1 0 0 36 48 56 1.2
+14 0 1 0 0 36 48 58 0.9
+14 0 1 0 0 36 48 60 0.6
+14 0 1 0 0 36 48 62 0.3
+14 0 1 0 0 36 48 64 6.2803698347351e-16
+14 0 1 0 0 36 48 66 0.3
+14 0 1 0 0 36 48 68 0.6
+14 0 1 0 0 36 48 70 0.9
+14 0 1 0 0 36 48 72 1.2
+14 0 1 0 0 36 48 74 1.5
+14 0 1 0 0 36 48 76 1.8
+14 0 1 0 0 36 48 78 2.1
+14 0 1 0 0 36 48 80 2.4
+14 0 1 0 0 36 48 82 2.7
+14 0 1 0 0 36 48 84 3
+14 0 1 0 0 36 48 86 3.3
+14 0 1 0 0 36 48 88 3.6
+14 0 1 0 0 36 48 90 3.9
+14 0 1 0 0 36 48 92 4.2
+14 0 1 0 0 36 48 94 4.5
+14 0 1 0 0 36 48 96 4.8
+14 0 1 0 0 36 48 98 5.1
+14 0 1 0 0 36 48 100 5.4
+
+
+# iteration 15
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+15 0 2 0 0 36 48 51 1.95
+15 0 2 0 0 36 48 52 1.8
+15 0 2 0 0 36 48 53 1.65
+15 0 2 0 0 36 48 54 1.5
+15 0 2 0 0 36 48 55 1.35
+15 0 2 0 0 36 48 56 1.2
+15 0 2 0 0 36 48 57 1.05
+15 0 2 0 0 36 48 58 0.9
+15 0 2 0 0 36 48 59 0.75
+15 0 2 0 0 36 48 60 0.6
+15 0 2 0 0 36 48 61 0.45
+15 0 2 0 0 36 48 62 0.3
+15 0 2 0 0 36 48 63 0.15
+15 0 2 0 0 36 48 64 6.2803698347351e-16
+15 0 2 0 0 36 48 65 0.15
+15 0 2 0 0 36 48 66 0.3
+15 0 2 0 0 36 48 67 0.45
+15 0 2 0 0 36 48 68 0.6
+15 0 2 0 0 36 48 69 0.75
+15 0 2 0 0 36 48 70 0.9
+15 0 2 0 0 36 48 71 1.05
+15 0 2 0 0 36 48 72 1.2
+15 0 2 0 0 36 48 73 1.35
+15 0 2 0 0 36 48 74 1.5
+15 0 2 0 0 36 48 75 1.65
+15 0 2 0 0 36 48 76 1.8
+15 0 2 0 0 36 48 77 1.95
+15 0 2 0 0 36 48 78 2.1
+15 0 2 0 0 36 48 79 2.25
+15 0 2 0 0 36 48 80 2.4
+15 0 2 0 0 36 48 81 2.55
+15 0 2 0 0 36 48 82 2.7
+15 0 2 0 0 36 48 83 2.85
+15 0 2 0 0 36 48 84 3
+
+
+# iteration 16
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 2 0 0 36 48 51 1.95
+16 0 2 0 0 36 48 52 1.8
+16 0 2 0 0 36 48 53 1.65
+16 0 2 0 0 36 48 54 1.5
+16 0 2 0 0 36 48 55 1.35
+16 0 2 0 0 36 48 56 1.2
+16 0 2 0 0 36 48 57 1.05
+16 0 2 0 0 36 48 58 0.9
+16 0 2 0 0 36 48 59 0.75
+16 0 2 0 0 36 48 60 0.6
+16 0 2 0 0 36 48 61 0.45
+16 0 2 0 0 36 48 62 0.3
+16 0 2 0 0 36 48 63 0.15
+16 0 2 0 0 36 48 64 6.2803698347351e-16
+16 0 2 0 0 36 48 65 0.15
+16 0 2 0 0 36 48 66 0.3
+16 0 2 0 0 36 48 67 0.45
+16 0 2 0 0 36 48 68 0.6
+16 0 2 0 0 36 48 69 0.75
+16 0 2 0 0 36 48 70 0.9
+16 0 2 0 0 36 48 71 1.05
+16 0 2 0 0 36 48 72 1.2
+16 0 2 0 0 36 48 73 1.35
+16 0 2 0 0 36 48 74 1.5
+16 0 2 0 0 36 48 75 1.65
+16 0 2 0 0 36 48 76 1.8
+16 0 2 0 0 36 48 77 1.95
+16 0 2 0 0 36 48 78 2.1
+16 0 2 0 0 36 48 79 2.25
+16 0 2 0 0 36 48 80 2.4
+16 0 2 0 0 36 48 81 2.55
+16 0 2 0 0 36 48 82 2.7
+16 0 2 0 0 36 48 83 2.85
+16 0 2 0 0 36 48 84 3
+
+
+# iteration 16
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 1 0 0 36 48 34 4.5
+16 0 1 0 0 36 48 36 4.2
+16 0 1 0 0 36 48 38 3.9
+16 0 1 0 0 36 48 40 3.6
+16 0 1 0 0 36 48 42 3.3
+16 0 1 0 0 36 48 44 3
+16 0 1 0 0 36 48 46 2.7
+16 0 1 0 0 36 48 48 2.4
+16 0 1 0 0 36 48 50 2.1
+16 0 1 0 0 36 48 52 1.8
+16 0 1 0 0 36 48 54 1.5
+16 0 1 0 0 36 48 56 1.2
+16 0 1 0 0 36 48 58 0.9
+16 0 1 0 0 36 48 60 0.6
+16 0 1 0 0 36 48 62 0.3
+16 0 1 0 0 36 48 64 6.2803698347351e-16
+16 0 1 0 0 36 48 66 0.3
+16 0 1 0 0 36 48 68 0.6
+16 0 1 0 0 36 48 70 0.9
+16 0 1 0 0 36 48 72 1.2
+16 0 1 0 0 36 48 74 1.5
+16 0 1 0 0 36 48 76 1.8
+16 0 1 0 0 36 48 78 2.1
+16 0 1 0 0 36 48 80 2.4
+16 0 1 0 0 36 48 82 2.7
+16 0 1 0 0 36 48 84 3
+16 0 1 0 0 36 48 86 3.3
+16 0 1 0 0 36 48 88 3.6
+16 0 1 0 0 36 48 90 3.9
+16 0 1 0 0 36 48 92 4.2
+16 0 1 0 0 36 48 94 4.5
+16 0 1 0 0 36 48 96 4.8
+16 0 1 0 0 36 48 98 5.1
+16 0 1 0 0 36 48 100 5.4
+
+
+# iteration 16
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+16 0 0 0 0 36 48 0 9.6
+16 0 0 0 0 36 48 4 9
+16 0 0 0 0 36 48 8 8.4
+16 0 0 0 0 36 48 12 7.8
+16 0 0 0 0 36 48 16 7.2
+16 0 0 0 0 36 48 20 6.6
+16 0 0 0 0 36 48 24 6
+16 0 0 0 0 36 48 28 5.4
+16 0 0 0 0 36 48 32 4.8
+16 0 0 0 0 36 48 36 4.2
+16 0 0 0 0 36 48 40 3.6
+16 0 0 0 0 36 48 44 3
+16 0 0 0 0 36 48 48 2.4
+16 0 0 0 0 36 48 52 1.8
+16 0 0 0 0 36 48 56 1.2
+16 0 0 0 0 36 48 60 0.6
+16 0 0 0 0 36 48 64 6.2803698347351e-16
+16 0 0 0 0 36 48 68 0.6
+16 0 0 0 0 36 48 72 1.2
+16 0 0 0 0 36 48 76 1.8
+16 0 0 0 0 36 48 80 2.4
+16 0 0 0 0 36 48 84 3
+16 0 0 0 0 36 48 88 3.6
+16 0 0 0 0 36 48 92 4.2
+16 0 0 0 0 36 48 96 4.8
+16 0 0 0 0 36 48 100 5.4
+16 0 0 0 0 36 48 104 6
+16 0 0 0 0 36 48 108 6.6
+16 0 0 0 0 36 48 112 7.2
+16 0 0 0 0 36 48 116 7.8
+16 0 0 0 0 36 48 120 8.4
+16 0 0 0 0 36 48 124 9
+16 0 0 0 0 36 48 128 9.6
+16 0 0 0 0 36 48 132 10.2
+
+
+# iteration 17
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+17 0 2 0 0 36 48 51 1.95
+17 0 2 0 0 36 48 52 1.8
+17 0 2 0 0 36 48 53 1.65
+17 0 2 0 0 36 48 54 1.5
+17 0 2 0 0 36 48 55 1.35
+17 0 2 0 0 36 48 56 1.2
+17 0 2 0 0 36 48 57 1.05
+17 0 2 0 0 36 48 58 0.9
+17 0 2 0 0 36 48 59 0.75
+17 0 2 0 0 36 48 60 0.6
+17 0 2 0 0 36 48 61 0.45
+17 0 2 0 0 36 48 62 0.3
+17 0 2 0 0 36 48 63 0.15
+17 0 2 0 0 36 48 64 6.2803698347351e-16
+17 0 2 0 0 36 48 65 0.15
+17 0 2 0 0 36 48 66 0.3
+17 0 2 0 0 36 48 67 0.45
+17 0 2 0 0 36 48 68 0.6
+17 0 2 0 0 36 48 69 0.75
+17 0 2 0 0 36 48 70 0.9
+17 0 2 0 0 36 48 71 1.05
+17 0 2 0 0 36 48 72 1.2
+17 0 2 0 0 36 48 73 1.35
+17 0 2 0 0 36 48 74 1.5
+17 0 2 0 0 36 48 75 1.65
+17 0 2 0 0 36 48 76 1.8
+17 0 2 0 0 36 48 77 1.95
+17 0 2 0 0 36 48 78 2.1
+17 0 2 0 0 36 48 79 2.25
+17 0 2 0 0 36 48 80 2.4
+17 0 2 0 0 36 48 81 2.55
+17 0 2 0 0 36 48 82 2.7
+17 0 2 0 0 36 48 83 2.85
+17 0 2 0 0 36 48 84 3
+
+
+# iteration 18
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 2 0 0 36 48 51 1.95
+18 0 2 0 0 36 48 52 1.8
+18 0 2 0 0 36 48 53 1.65
+18 0 2 0 0 36 48 54 1.5
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+18 0 2 0 0 36 48 56 1.2
+18 0 2 0 0 36 48 57 1.05
+18 0 2 0 0 36 48 58 0.9
+18 0 2 0 0 36 48 59 0.75
+18 0 2 0 0 36 48 60 0.6
+18 0 2 0 0 36 48 61 0.45
+18 0 2 0 0 36 48 62 0.3
+18 0 2 0 0 36 48 63 0.15
+18 0 2 0 0 36 48 64 6.2803698347351e-16
+18 0 2 0 0 36 48 65 0.15
+18 0 2 0 0 36 48 66 0.3
+18 0 2 0 0 36 48 67 0.45
+18 0 2 0 0 36 48 68 0.6
+18 0 2 0 0 36 48 69 0.75
+18 0 2 0 0 36 48 70 0.9
+18 0 2 0 0 36 48 71 1.05
+18 0 2 0 0 36 48 72 1.2
+18 0 2 0 0 36 48 73 1.35
+18 0 2 0 0 36 48 74 1.5
+18 0 2 0 0 36 48 75 1.65
+18 0 2 0 0 36 48 76 1.8
+18 0 2 0 0 36 48 77 1.95
+18 0 2 0 0 36 48 78 2.1
+18 0 2 0 0 36 48 79 2.25
+18 0 2 0 0 36 48 80 2.4
+18 0 2 0 0 36 48 81 2.55
+18 0 2 0 0 36 48 82 2.7
+18 0 2 0 0 36 48 83 2.85
+18 0 2 0 0 36 48 84 3
+
+
+# iteration 18
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+18 0 1 0 0 36 48 34 4.5
+18 0 1 0 0 36 48 36 4.2
+18 0 1 0 0 36 48 38 3.9
+18 0 1 0 0 36 48 40 3.6
+18 0 1 0 0 36 48 42 3.3
+18 0 1 0 0 36 48 44 3
+18 0 1 0 0 36 48 46 2.7
+18 0 1 0 0 36 48 48 2.4
+18 0 1 0 0 36 48 50 2.1
+18 0 1 0 0 36 48 52 1.8
+18 0 1 0 0 36 48 54 1.5
+18 0 1 0 0 36 48 56 1.2
+18 0 1 0 0 36 48 58 0.9
+18 0 1 0 0 36 48 60 0.6
+18 0 1 0 0 36 48 62 0.3
+18 0 1 0 0 36 48 64 6.2803698347351e-16
+18 0 1 0 0 36 48 66 0.3
+18 0 1 0 0 36 48 68 0.6
+18 0 1 0 0 36 48 70 0.9
+18 0 1 0 0 36 48 72 1.2
+18 0 1 0 0 36 48 74 1.5
+18 0 1 0 0 36 48 76 1.8
+18 0 1 0 0 36 48 78 2.1
+18 0 1 0 0 36 48 80 2.4
+18 0 1 0 0 36 48 82 2.7
+18 0 1 0 0 36 48 84 3
+18 0 1 0 0 36 48 86 3.3
+18 0 1 0 0 36 48 88 3.6
+18 0 1 0 0 36 48 90 3.9
+18 0 1 0 0 36 48 92 4.2
+18 0 1 0 0 36 48 94 4.5
+18 0 1 0 0 36 48 96 4.8
+18 0 1 0 0 36 48 98 5.1
+18 0 1 0 0 36 48 100 5.4
+
+
+# iteration 19
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+19 0 2 0 0 36 48 51 1.95
+19 0 2 0 0 36 48 52 1.8
+19 0 2 0 0 36 48 53 1.65
+19 0 2 0 0 36 48 54 1.5
+19 0 2 0 0 36 48 55 1.35
+19 0 2 0 0 36 48 56 1.2
+19 0 2 0 0 36 48 57 1.05
+19 0 2 0 0 36 48 58 0.9
+19 0 2 0 0 36 48 59 0.75
+19 0 2 0 0 36 48 60 0.6
+19 0 2 0 0 36 48 61 0.45
+19 0 2 0 0 36 48 62 0.3
+19 0 2 0 0 36 48 63 0.15
+19 0 2 0 0 36 48 64 6.2803698347351e-16
+19 0 2 0 0 36 48 65 0.15
+19 0 2 0 0 36 48 66 0.3
+19 0 2 0 0 36 48 67 0.45
+19 0 2 0 0 36 48 68 0.6
+19 0 2 0 0 36 48 69 0.75
+19 0 2 0 0 36 48 70 0.9
+19 0 2 0 0 36 48 71 1.05
+19 0 2 0 0 36 48 72 1.2
+19 0 2 0 0 36 48 73 1.35
+19 0 2 0 0 36 48 74 1.5
+19 0 2 0 0 36 48 75 1.65
+19 0 2 0 0 36 48 76 1.8
+19 0 2 0 0 36 48 77 1.95
+19 0 2 0 0 36 48 78 2.1
+19 0 2 0 0 36 48 79 2.25
+19 0 2 0 0 36 48 80 2.4
+19 0 2 0 0 36 48 81 2.55
+19 0 2 0 0 36 48 82 2.7
+19 0 2 0 0 36 48 83 2.85
+19 0 2 0 0 36 48 84 3
+
+
+# iteration 20
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 2 0 0 36 48 51 1.95
+20 0 2 0 0 36 48 52 1.8
+20 0 2 0 0 36 48 53 1.65
+20 0 2 0 0 36 48 54 1.5
+20 0 2 0 0 36 48 55 1.35
+20 0 2 0 0 36 48 56 1.2
+20 0 2 0 0 36 48 57 1.05
+20 0 2 0 0 36 48 58 0.9
+20 0 2 0 0 36 48 59 0.75
+20 0 2 0 0 36 48 60 0.6
+20 0 2 0 0 36 48 61 0.45
+20 0 2 0 0 36 48 62 0.3
+20 0 2 0 0 36 48 63 0.15
+20 0 2 0 0 36 48 64 6.2803698347351e-16
+20 0 2 0 0 36 48 65 0.15
+20 0 2 0 0 36 48 66 0.3
+20 0 2 0 0 36 48 67 0.45
+20 0 2 0 0 36 48 68 0.6
+20 0 2 0 0 36 48 69 0.75
+20 0 2 0 0 36 48 70 0.9
+20 0 2 0 0 36 48 71 1.05
+20 0 2 0 0 36 48 72 1.2
+20 0 2 0 0 36 48 73 1.35
+20 0 2 0 0 36 48 74 1.5
+20 0 2 0 0 36 48 75 1.65
+20 0 2 0 0 36 48 76 1.8
+20 0 2 0 0 36 48 77 1.95
+20 0 2 0 0 36 48 78 2.1
+20 0 2 0 0 36 48 79 2.25
+20 0 2 0 0 36 48 80 2.4
+20 0 2 0 0 36 48 81 2.55
+20 0 2 0 0 36 48 82 2.7
+20 0 2 0 0 36 48 83 2.85
+20 0 2 0 0 36 48 84 3
+
+
+# iteration 20
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 1 0 0 36 48 34 4.5
+20 0 1 0 0 36 48 36 4.2
+20 0 1 0 0 36 48 38 3.9
+20 0 1 0 0 36 48 40 3.6
+20 0 1 0 0 36 48 42 3.3
+20 0 1 0 0 36 48 44 3
+20 0 1 0 0 36 48 46 2.7
+20 0 1 0 0 36 48 48 2.4
+20 0 1 0 0 36 48 50 2.1
+20 0 1 0 0 36 48 52 1.8
+20 0 1 0 0 36 48 54 1.5
+20 0 1 0 0 36 48 56 1.2
+20 0 1 0 0 36 48 58 0.9
+20 0 1 0 0 36 48 60 0.6
+20 0 1 0 0 36 48 62 0.3
+20 0 1 0 0 36 48 64 6.2803698347351e-16
+20 0 1 0 0 36 48 66 0.3
+20 0 1 0 0 36 48 68 0.6
+20 0 1 0 0 36 48 70 0.9
+20 0 1 0 0 36 48 72 1.2
+20 0 1 0 0 36 48 74 1.5
+20 0 1 0 0 36 48 76 1.8
+20 0 1 0 0 36 48 78 2.1
+20 0 1 0 0 36 48 80 2.4
+20 0 1 0 0 36 48 82 2.7
+20 0 1 0 0 36 48 84 3
+20 0 1 0 0 36 48 86 3.3
+20 0 1 0 0 36 48 88 3.6
+20 0 1 0 0 36 48 90 3.9
+20 0 1 0 0 36 48 92 4.2
+20 0 1 0 0 36 48 94 4.5
+20 0 1 0 0 36 48 96 4.8
+20 0 1 0 0 36 48 98 5.1
+20 0 1 0 0 36 48 100 5.4
+
+
+# iteration 20
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+20 0 0 0 0 36 48 0 9.6
+20 0 0 0 0 36 48 4 9
+20 0 0 0 0 36 48 8 8.4
+20 0 0 0 0 36 48 12 7.8
+20 0 0 0 0 36 48 16 7.2
+20 0 0 0 0 36 48 20 6.6
+20 0 0 0 0 36 48 24 6
+20 0 0 0 0 36 48 28 5.4
+20 0 0 0 0 36 48 32 4.8
+20 0 0 0 0 36 48 36 4.2
+20 0 0 0 0 36 48 40 3.6
+20 0 0 0 0 36 48 44 3
+20 0 0 0 0 36 48 48 2.4
+20 0 0 0 0 36 48 52 1.8
+20 0 0 0 0 36 48 56 1.2
+20 0 0 0 0 36 48 60 0.6
+20 0 0 0 0 36 48 64 6.2803698347351e-16
+20 0 0 0 0 36 48 68 0.6
+20 0 0 0 0 36 48 72 1.2
+20 0 0 0 0 36 48 76 1.8
+20 0 0 0 0 36 48 80 2.4
+20 0 0 0 0 36 48 84 3
+20 0 0 0 0 36 48 88 3.6
+20 0 0 0 0 36 48 92 4.2
+20 0 0 0 0 36 48 96 4.8
+20 0 0 0 0 36 48 100 5.4
+20 0 0 0 0 36 48 104 6
+20 0 0 0 0 36 48 108 6.6
+20 0 0 0 0 36 48 112 7.2
+20 0 0 0 0 36 48 116 7.8
+20 0 0 0 0 36 48 120 8.4
+20 0 0 0 0 36 48 124 9
+20 0 0 0 0 36 48 128 9.6
+20 0 0 0 0 36 48 132 10.2
+
+
+# iteration 21
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+21 0 2 0 0 36 48 51 1.95
+21 0 2 0 0 36 48 52 1.8
+21 0 2 0 0 36 48 53 1.65
+21 0 2 0 0 36 48 54 1.5
+21 0 2 0 0 36 48 55 1.35
+21 0 2 0 0 36 48 56 1.2
+21 0 2 0 0 36 48 57 1.05
+21 0 2 0 0 36 48 58 0.9
+21 0 2 0 0 36 48 59 0.75
+21 0 2 0 0 36 48 60 0.6
+21 0 2 0 0 36 48 61 0.45
+21 0 2 0 0 36 48 62 0.3
+21 0 2 0 0 36 48 63 0.15
+21 0 2 0 0 36 48 64 6.2803698347351e-16
+21 0 2 0 0 36 48 65 0.15
+21 0 2 0 0 36 48 66 0.3
+21 0 2 0 0 36 48 67 0.45
+21 0 2 0 0 36 48 68 0.6
+21 0 2 0 0 36 48 69 0.75
+21 0 2 0 0 36 48 70 0.9
+21 0 2 0 0 36 48 71 1.05
+21 0 2 0 0 36 48 72 1.2
+21 0 2 0 0 36 48 73 1.35
+21 0 2 0 0 36 48 74 1.5
+21 0 2 0 0 36 48 75 1.65
+21 0 2 0 0 36 48 76 1.8
+21 0 2 0 0 36 48 77 1.95
+21 0 2 0 0 36 48 78 2.1
+21 0 2 0 0 36 48 79 2.25
+21 0 2 0 0 36 48 80 2.4
+21 0 2 0 0 36 48 81 2.55
+21 0 2 0 0 36 48 82 2.7
+21 0 2 0 0 36 48 83 2.85
+21 0 2 0 0 36 48 84 3
+
+
+# iteration 22
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 2 0 0 36 48 51 1.95
+22 0 2 0 0 36 48 52 1.8
+22 0 2 0 0 36 48 53 1.65
+22 0 2 0 0 36 48 54 1.5
+22 0 2 0 0 36 48 55 1.35
+22 0 2 0 0 36 48 56 1.2
+22 0 2 0 0 36 48 57 1.05
+22 0 2 0 0 36 48 58 0.9
+22 0 2 0 0 36 48 59 0.75
+22 0 2 0 0 36 48 60 0.6
+22 0 2 0 0 36 48 61 0.45
+22 0 2 0 0 36 48 62 0.3
+22 0 2 0 0 36 48 63 0.15
+22 0 2 0 0 36 48 64 6.2803698347351e-16
+22 0 2 0 0 36 48 65 0.15
+22 0 2 0 0 36 48 66 0.3
+22 0 2 0 0 36 48 67 0.45
+22 0 2 0 0 36 48 68 0.6
+22 0 2 0 0 36 48 69 0.75
+22 0 2 0 0 36 48 70 0.9
+22 0 2 0 0 36 48 71 1.05
+22 0 2 0 0 36 48 72 1.2
+22 0 2 0 0 36 48 73 1.35
+22 0 2 0 0 36 48 74 1.5
+22 0 2 0 0 36 48 75 1.65
+22 0 2 0 0 36 48 76 1.8
+22 0 2 0 0 36 48 77 1.95
+22 0 2 0 0 36 48 78 2.1
+22 0 2 0 0 36 48 79 2.25
+22 0 2 0 0 36 48 80 2.4
+22 0 2 0 0 36 48 81 2.55
+22 0 2 0 0 36 48 82 2.7
+22 0 2 0 0 36 48 83 2.85
+22 0 2 0 0 36 48 84 3
+
+
+# iteration 22
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+22 0 1 0 0 36 48 34 4.5
+22 0 1 0 0 36 48 36 4.2
+22 0 1 0 0 36 48 38 3.9
+22 0 1 0 0 36 48 40 3.6
+22 0 1 0 0 36 48 42 3.3
+22 0 1 0 0 36 48 44 3
+22 0 1 0 0 36 48 46 2.7
+22 0 1 0 0 36 48 48 2.4
+22 0 1 0 0 36 48 50 2.1
+22 0 1 0 0 36 48 52 1.8
+22 0 1 0 0 36 48 54 1.5
+22 0 1 0 0 36 48 56 1.2
+22 0 1 0 0 36 48 58 0.9
+22 0 1 0 0 36 48 60 0.6
+22 0 1 0 0 36 48 62 0.3
+22 0 1 0 0 36 48 64 6.2803698347351e-16
+22 0 1 0 0 36 48 66 0.3
+22 0 1 0 0 36 48 68 0.6
+22 0 1 0 0 36 48 70 0.9
+22 0 1 0 0 36 48 72 1.2
+22 0 1 0 0 36 48 74 1.5
+22 0 1 0 0 36 48 76 1.8
+22 0 1 0 0 36 48 78 2.1
+22 0 1 0 0 36 48 80 2.4
+22 0 1 0 0 36 48 82 2.7
+22 0 1 0 0 36 48 84 3
+22 0 1 0 0 36 48 86 3.3
+22 0 1 0 0 36 48 88 3.6
+22 0 1 0 0 36 48 90 3.9
+22 0 1 0 0 36 48 92 4.2
+22 0 1 0 0 36 48 94 4.5
+22 0 1 0 0 36 48 96 4.8
+22 0 1 0 0 36 48 98 5.1
+22 0 1 0 0 36 48 100 5.4
+
+
+# iteration 23
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+23 0 2 0 0 36 48 51 1.95
+23 0 2 0 0 36 48 52 1.8
+23 0 2 0 0 36 48 53 1.65
+23 0 2 0 0 36 48 54 1.5
+23 0 2 0 0 36 48 55 1.35
+23 0 2 0 0 36 48 56 1.2
+23 0 2 0 0 36 48 57 1.05
+23 0 2 0 0 36 48 58 0.9
+23 0 2 0 0 36 48 59 0.75
+23 0 2 0 0 36 48 60 0.6
+23 0 2 0 0 36 48 61 0.45
+23 0 2 0 0 36 48 62 0.3
+23 0 2 0 0 36 48 63 0.15
+23 0 2 0 0 36 48 64 6.2803698347351e-16
+23 0 2 0 0 36 48 65 0.15
+23 0 2 0 0 36 48 66 0.3
+23 0 2 0 0 36 48 67 0.45
+23 0 2 0 0 36 48 68 0.6
+23 0 2 0 0 36 48 69 0.75
+23 0 2 0 0 36 48 70 0.9
+23 0 2 0 0 36 48 71 1.05
+23 0 2 0 0 36 48 72 1.2
+23 0 2 0 0 36 48 73 1.35
+23 0 2 0 0 36 48 74 1.5
+23 0 2 0 0 36 48 75 1.65
+23 0 2 0 0 36 48 76 1.8
+23 0 2 0 0 36 48 77 1.95
+23 0 2 0 0 36 48 78 2.1
+23 0 2 0 0 36 48 79 2.25
+23 0 2 0 0 36 48 80 2.4
+23 0 2 0 0 36 48 81 2.55
+23 0 2 0 0 36 48 82 2.7
+23 0 2 0 0 36 48 83 2.85
+23 0 2 0 0 36 48 84 3
+
+
+# iteration 24
+# time level 0 refinement level 2 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 2 0 0 36 48 51 1.95
+24 0 2 0 0 36 48 52 1.8
+24 0 2 0 0 36 48 53 1.65
+24 0 2 0 0 36 48 54 1.5
+24 0 2 0 0 36 48 55 1.35
+24 0 2 0 0 36 48 56 1.2
+24 0 2 0 0 36 48 57 1.05
+24 0 2 0 0 36 48 58 0.9
+24 0 2 0 0 36 48 59 0.75
+24 0 2 0 0 36 48 60 0.6
+24 0 2 0 0 36 48 61 0.45
+24 0 2 0 0 36 48 62 0.3
+24 0 2 0 0 36 48 63 0.15
+24 0 2 0 0 36 48 64 6.2803698347351e-16
+24 0 2 0 0 36 48 65 0.15
+24 0 2 0 0 36 48 66 0.3
+24 0 2 0 0 36 48 67 0.45
+24 0 2 0 0 36 48 68 0.6
+24 0 2 0 0 36 48 69 0.75
+24 0 2 0 0 36 48 70 0.9
+24 0 2 0 0 36 48 71 1.05
+24 0 2 0 0 36 48 72 1.2
+24 0 2 0 0 36 48 73 1.35
+24 0 2 0 0 36 48 74 1.5
+24 0 2 0 0 36 48 75 1.65
+24 0 2 0 0 36 48 76 1.8
+24 0 2 0 0 36 48 77 1.95
+24 0 2 0 0 36 48 78 2.1
+24 0 2 0 0 36 48 79 2.25
+24 0 2 0 0 36 48 80 2.4
+24 0 2 0 0 36 48 81 2.55
+24 0 2 0 0 36 48 82 2.7
+24 0 2 0 0 36 48 83 2.85
+24 0 2 0 0 36 48 84 3
+
+
+# iteration 24
+# time level 0 refinement level 1 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 1 0 0 36 48 34 4.5
+24 0 1 0 0 36 48 36 4.2
+24 0 1 0 0 36 48 38 3.9
+24 0 1 0 0 36 48 40 3.6
+24 0 1 0 0 36 48 42 3.3
+24 0 1 0 0 36 48 44 3
+24 0 1 0 0 36 48 46 2.7
+24 0 1 0 0 36 48 48 2.4
+24 0 1 0 0 36 48 50 2.1
+24 0 1 0 0 36 48 52 1.8
+24 0 1 0 0 36 48 54 1.5
+24 0 1 0 0 36 48 56 1.2
+24 0 1 0 0 36 48 58 0.9
+24 0 1 0 0 36 48 60 0.6
+24 0 1 0 0 36 48 62 0.3
+24 0 1 0 0 36 48 64 6.2803698347351e-16
+24 0 1 0 0 36 48 66 0.3
+24 0 1 0 0 36 48 68 0.6
+24 0 1 0 0 36 48 70 0.9
+24 0 1 0 0 36 48 72 1.2
+24 0 1 0 0 36 48 74 1.5
+24 0 1 0 0 36 48 76 1.8
+24 0 1 0 0 36 48 78 2.1
+24 0 1 0 0 36 48 80 2.4
+24 0 1 0 0 36 48 82 2.7
+24 0 1 0 0 36 48 84 3
+24 0 1 0 0 36 48 86 3.3
+24 0 1 0 0 36 48 88 3.6
+24 0 1 0 0 36 48 90 3.9
+24 0 1 0 0 36 48 92 4.2
+24 0 1 0 0 36 48 94 4.5
+24 0 1 0 0 36 48 96 4.8
+24 0 1 0 0 36 48 98 5.1
+24 0 1 0 0 36 48 100 5.4
+
+
+# iteration 24
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+24 0 0 0 0 36 48 0 9.6
+24 0 0 0 0 36 48 4 9
+24 0 0 0 0 36 48 8 8.4
+24 0 0 0 0 36 48 12 7.8
+24 0 0 0 0 36 48 16 7.2
+24 0 0 0 0 36 48 20 6.6
+24 0 0 0 0 36 48 24 6
+24 0 0 0 0 36 48 28 5.4
+24 0 0 0 0 36 48 32 4.8
+24 0 0 0 0 36 48 36 4.2
+24 0 0 0 0 36 48 40 3.6
+24 0 0 0 0 36 48 44 3
+24 0 0 0 0 36 48 48 2.4
+24 0 0 0 0 36 48 52 1.8
+24 0 0 0 0 36 48 56 1.2
+24 0 0 0 0 36 48 60 0.6
+24 0 0 0 0 36 48 64 6.2803698347351e-16
+24 0 0 0 0 36 48 68 0.6
+24 0 0 0 0 36 48 72 1.2
+24 0 0 0 0 36 48 76 1.8
+24 0 0 0 0 36 48 80 2.4
+24 0 0 0 0 36 48 84 3
+24 0 0 0 0 36 48 88 3.6
+24 0 0 0 0 36 48 92 4.2
+24 0 0 0 0 36 48 96 4.8
+24 0 0 0 0 36 48 100 5.4
+24 0 0 0 0 36 48 104 6
+24 0 0 0 0 36 48 108 6.6
+24 0 0 0 0 36 48 112 7.2
+24 0 0 0 0 36 48 116 7.8
+24 0 0 0 0 36 48 120 8.4
+24 0 0 0 0 36 48 124 9
+24 0 0 0 0 36 48 128 9.6
+24 0 0 0 0 36 48 132 10.2
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_rad.log b/CarpetExtra/WaveToyF77/test/wavetoyf77_rad.log
new file mode 100644
index 000000000..c9dc6415f
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_rad.log
@@ -0,0 +1,100 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn Boundary...Success -> active implementation boundary
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Time...Success -> active implementation time
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn IDScalarWave...Success -> active implementation idscalarwave
+Activating thorn WaveToyF77...Success -> active implementation wavetoy
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+ WaveToyF77: Register banner
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+ IDScalarWave: Check parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Time: Set timestep based on Courant condition
+ WaveToyF77: Schedule symmetries
+ IDScalarWave: Initial data for 3D wave equation
+
+ do loop over timesteps
+ WaveToyF77: Evolution of 3D wave equation
+ WaveToyF77: Boundaries of 3D wave equation
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+WaveToyF77: Evolutions of a Scalar Field
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([1,1,1]:[8,8,8]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[0,9,9]:[1,1,1]),([1,0,0]:[8,0,9]:[1,1,1]),([9,0,0]:[9,9,9]:[1,1,1]),([1,1,0]:[8,8,0]:[1,1,1]),([1,9,0]:[8,9,9]:[1,1,1]),([1,1,9]:[8,8,9]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[0,9,9]:[1,1,1]),([1,0,0]:[8,0,9]:[1,1,1]),([9,0,0]:[9,9,9]:[1,1,1]),([1,1,0]:[8,8,0]:[1,1,1]),([1,9,0]:[8,9,9]:[1,1,1]),([1,1,9]:[8,8,9]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([1,1,1]:[8,8,8]:[1,1,1])
+boundaries={([0,0,0]:[0,9,9]:[1,1,1]),([1,0,0]:[8,0,9]:[1,1,1]),([9,0,0]:[9,9,9]:[1,1,1]),([1,1,0]:[8,8,0]:[1,1,1]),([1,9,0]:[8,9,9]:[1,1,1]),([1,1,9]:[8,8,9]:[1,1,1])}
+----------------
+ it | |
+ | t |
+----------------
+ 0 | 0.000|
+ 1 | 0.300|
+ 2 | 0.600|
+ 3 | 0.900|
+ 4 | 1.200|
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_rad.par b/CarpetExtra/WaveToyF77/test/wavetoyf77_rad.par
new file mode 100644
index 000000000..759b7479b
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_rad.par
@@ -0,0 +1,43 @@
+# /*@@
+# @file wavetoyf77_rad.par
+# @date 2001-03-06
+# @author Erik Schnetter
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in octant mode
+# @enddesc
+# @@*/
+#
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyF77/test/wavetoyf77_rad.par,v 1.5 2004/03/23 12:00:37 schnetter Exp $
+
+!DESC "Octant evolution with radiation boundaries"
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetLib CarpetSlab IDScalarWave WaveToyF77"
+
+Cactus::cctk_itlast = 4
+
+Time::dtfac = 0.5
+
+driver::global_nx = 10
+driver::global_ny = 10
+driver::global_nz = 10
+
+grid::type = byspacing
+grid::mode = octant
+grid::dxyz = 0.6
+
+IO::out_dir = "wavetoyf77_rad"
+
+IOBasic::outinfo_every = 1
+#IOBasic::outinfo_vars = "wavetoy::phi"
+
+#IOBasic::outScalar_every = 1
+#IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1
+IOASCII::out1D_vars = "wavetoy::phi "
+
+WaveToyF77::bound = radiation
+
+IDScalarWave::initial_data = gaussian
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 0
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_rad/phi.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_rad/phi.xl
new file mode 100644
index 000000000..eb9bf4ebe
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_rad/phi.xl
@@ -0,0 +1,82 @@
+# WAVETOY::phi x (phi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 1 0.966147489762885
+0 0 0 0 0 1 1 1 0.966147489762885
+0 0 0 0 0 2 1 1 0.881371986353857
+0 0 0 0 0 3 1 1 0.733484377941989
+0 0 0 0 0 4 1 1 0.556850106619834
+0 0 0 0 0 5 1 1 0.385657302025291
+0 0 0 0 0 6 1 1 0.243657970841475
+0 0 0 0 0 7 1 1 0.140435045869805
+0 0 0 0 0 8 1 1 0.0738390653280284
+0 0 0 0 0 9 1 1 0.0354170752128787
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 1 0.874846362533133
+1 0 0 0 0 1 1 1 0.874846362533133
+1 0 0 0 0 2 1 1 0.768046252122832
+1 0 0 0 0 3 1 1 0.610612554181502
+1 0 0 0 0 4 1 1 0.442054772678387
+1 0 0 0 0 5 1 1 0.291737697980911
+1 0 0 0 0 6 1 1 0.175592784577625
+1 0 0 0 0 7 1 1 0.0964185960819811
+1 0 0 0 0 8 1 1 0.048317742510022
+1 0 0 0 0 9 1 1 0.0648874395788695
+
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 1 1 0.703445152495655
+2 0 0 0 0 1 1 1 0.703445152495655
+2 0 0 0 0 2 1 1 0.599601090521016
+2 0 0 0 0 3 1 1 0.453309510725706
+2 0 0 0 0 4 1 1 0.309761576207388
+2 0 0 0 0 5 1 1 0.192149941162959
+2 0 0 0 0 6 1 1 0.108355071915476
+2 0 0 0 0 7 1 1 0.0556031057827004
+2 0 0 0 0 8 1 1 0.0366949038717224
+2 0 0 0 0 9 1 1 0.0534774058648878
+
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 1 1 0.454160895977198
+3 0 0 0 0 1 1 1 0.454160895977198
+3 0 0 0 0 2 1 1 0.380060531239133
+3 0 0 0 0 3 1 1 0.268863874196307
+3 0 0 0 0 4 1 1 0.166113058346442
+3 0 0 0 0 5 1 1 0.0903998237110913
+3 0 0 0 0 6 1 1 0.0430548540962486
+3 0 0 0 0 7 1 1 0.0203161034551613
+3 0 0 0 0 8 1 1 0.0322129594259089
+3 0 0 0 0 9 1 1 0.0403940744680788
+
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 1 1 0.149301365905192
+4 0 0 0 0 1 1 1 0.149301365905192
+4 0 0 0 0 2 1 1 0.120051603120114
+4 0 0 0 0 3 1 1 0.0657673372539709
+4 0 0 0 0 4 1 1 0.0171016561289884
+4 0 0 0 0 5 1 1 -0.0106833532180277
+4 0 0 0 0 6 1 1 -0.0191712381729754
+4 0 0 0 0 7 1 1 -0.00773714485982075
+4 0 0 0 0 8 1 1 0.0252242027455782
+4 0 0 0 0 9 1 1 0.0345117309749551
+
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_rad/phi.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_rad/phi.yl
new file mode 100644
index 000000000..ff296a205
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_rad/phi.yl
@@ -0,0 +1,82 @@
+# WAVETOY::phi y (phi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 1 0.966147489762885
+0 0 0 0 0 1 1 1 0.966147489762885
+0 0 0 0 0 1 2 1 0.881371986353857
+0 0 0 0 0 1 3 1 0.733484377941989
+0 0 0 0 0 1 4 1 0.556850106619834
+0 0 0 0 0 1 5 1 0.385657302025291
+0 0 0 0 0 1 6 1 0.243657970841475
+0 0 0 0 0 1 7 1 0.140435045869805
+0 0 0 0 0 1 8 1 0.0738390653280284
+0 0 0 0 0 1 9 1 0.0354170752128787
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 1 0.874846362533133
+1 0 0 0 0 1 1 1 0.874846362533133
+1 0 0 0 0 1 2 1 0.768046252122832
+1 0 0 0 0 1 3 1 0.610612554181502
+1 0 0 0 0 1 4 1 0.442054772678387
+1 0 0 0 0 1 5 1 0.291737697980911
+1 0 0 0 0 1 6 1 0.175592784577625
+1 0 0 0 0 1 7 1 0.0964185960819811
+1 0 0 0 0 1 8 1 0.0483177425100221
+1 0 0 0 0 1 9 1 0.0648874395788695
+
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 1 0 1 0.703445152495655
+2 0 0 0 0 1 1 1 0.703445152495655
+2 0 0 0 0 1 2 1 0.599601090521016
+2 0 0 0 0 1 3 1 0.453309510725706
+2 0 0 0 0 1 4 1 0.309761576207388
+2 0 0 0 0 1 5 1 0.192149941162959
+2 0 0 0 0 1 6 1 0.108355071915476
+2 0 0 0 0 1 7 1 0.0556031057827004
+2 0 0 0 0 1 8 1 0.0366949038717224
+2 0 0 0 0 1 9 1 0.0534774058648878
+
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 1 0 1 0.454160895977198
+3 0 0 0 0 1 1 1 0.454160895977198
+3 0 0 0 0 1 2 1 0.380060531239133
+3 0 0 0 0 1 3 1 0.268863874196307
+3 0 0 0 0 1 4 1 0.166113058346442
+3 0 0 0 0 1 5 1 0.0903998237110912
+3 0 0 0 0 1 6 1 0.0430548540962486
+3 0 0 0 0 1 7 1 0.0203161034551613
+3 0 0 0 0 1 8 1 0.0322129594259089
+3 0 0 0 0 1 9 1 0.0403940744680788
+
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 1 0 1 0.149301365905192
+4 0 0 0 0 1 1 1 0.149301365905192
+4 0 0 0 0 1 2 1 0.120051603120114
+4 0 0 0 0 1 3 1 0.065767337253971
+4 0 0 0 0 1 4 1 0.0171016561289883
+4 0 0 0 0 1 5 1 -0.0106833532180277
+4 0 0 0 0 1 6 1 -0.0191712381729754
+4 0 0 0 0 1 7 1 -0.00773714485982075
+4 0 0 0 0 1 8 1 0.0252242027455782
+4 0 0 0 0 1 9 1 0.0345117309749552
+
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_rad/phi.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_rad/phi.zl
new file mode 100644
index 000000000..bc0b3b843
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_rad/phi.zl
@@ -0,0 +1,82 @@
+# WAVETOY::phi z (phi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 0.966147489762885
+0 0 0 0 0 1 1 1 0.966147489762885
+0 0 0 0 0 1 1 2 0.881371986353857
+0 0 0 0 0 1 1 3 0.733484377941989
+0 0 0 0 0 1 1 4 0.556850106619834
+0 0 0 0 0 1 1 5 0.385657302025291
+0 0 0 0 0 1 1 6 0.243657970841475
+0 0 0 0 0 1 1 7 0.140435045869805
+0 0 0 0 0 1 1 8 0.0738390653280284
+0 0 0 0 0 1 1 9 0.0354170752128787
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 0.874846362533133
+1 0 0 0 0 1 1 1 0.874846362533133
+1 0 0 0 0 1 1 2 0.768046252122832
+1 0 0 0 0 1 1 3 0.610612554181502
+1 0 0 0 0 1 1 4 0.442054772678387
+1 0 0 0 0 1 1 5 0.291737697980911
+1 0 0 0 0 1 1 6 0.175592784577625
+1 0 0 0 0 1 1 7 0.0964185960819811
+1 0 0 0 0 1 1 8 0.0483177425100221
+1 0 0 0 0 1 1 9 0.0648874395788695
+
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 1 1 0 0.703445152495655
+2 0 0 0 0 1 1 1 0.703445152495655
+2 0 0 0 0 1 1 2 0.599601090521016
+2 0 0 0 0 1 1 3 0.453309510725706
+2 0 0 0 0 1 1 4 0.309761576207388
+2 0 0 0 0 1 1 5 0.192149941162959
+2 0 0 0 0 1 1 6 0.108355071915476
+2 0 0 0 0 1 1 7 0.0556031057827004
+2 0 0 0 0 1 1 8 0.0366949038717224
+2 0 0 0 0 1 1 9 0.0534774058648878
+
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 1 1 0 0.454160895977198
+3 0 0 0 0 1 1 1 0.454160895977198
+3 0 0 0 0 1 1 2 0.380060531239133
+3 0 0 0 0 1 1 3 0.268863874196307
+3 0 0 0 0 1 1 4 0.166113058346442
+3 0 0 0 0 1 1 5 0.0903998237110912
+3 0 0 0 0 1 1 6 0.0430548540962486
+3 0 0 0 0 1 1 7 0.0203161034551613
+3 0 0 0 0 1 1 8 0.0322129594259089
+3 0 0 0 0 1 1 9 0.0403940744680788
+
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 1 1 0 0.149301365905192
+4 0 0 0 0 1 1 1 0.149301365905192
+4 0 0 0 0 1 1 2 0.120051603120114
+4 0 0 0 0 1 1 3 0.065767337253971
+4 0 0 0 0 1 1 4 0.0171016561289883
+4 0 0 0 0 1 1 5 -0.0106833532180277
+4 0 0 0 0 1 1 6 -0.0191712381729754
+4 0 0 0 0 1 1 7 -0.00773714485982075
+4 0 0 0 0 1 1 8 0.0252242027455782
+4 0 0 0 0 1 1 9 0.0345117309749552
+
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_rob.log b/CarpetExtra/WaveToyF77/test/wavetoyf77_rob.log
new file mode 100644
index 000000000..c9dc6415f
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_rob.log
@@ -0,0 +1,100 @@
+--------------------------------------------------------------------------------
+ 10
+ 1 0101 ************************
+ 01 1010 10 The Cactus Code V4.0
+ 1010 1101 011 www.cactuscode.org
+ 1001 100101 ************************
+ 00010101
+ 100011 (c) Copyright The Authors
+ 0100 GNU Licensed. No Warranty
+ 0101
+
+--------------------------------------------------------------------------------
+Activating thorn Cactus...Success -> active implementation Cactus
+Activating thorn Boundary...Success -> active implementation boundary
+Activating thorn IOBasic...Success -> active implementation IOBasic
+Activating thorn IOUtil...Success -> active implementation IO
+Activating thorn Time...Success -> active implementation time
+Activating thorn Cart3d...Success -> active implementation grid
+Activating thorn Carpet...Success -> active implementation driver
+Activating thorn CarpetIOASCII...Success -> active implementation IOASCII
+Activating thorn CarpetLib...Success -> active implementation CarpetLib
+Activating thorn CarpetSlab...Success -> active implementation Hyperslab
+Activating thorn IDScalarWave...Success -> active implementation idscalarwave
+Activating thorn WaveToyF77...Success -> active implementation wavetoy
+--------------------------------------------------------------------------------
+ Startup routines
+ Carpet: Startup routine
+ CarpetIOASCII: Startup routine
+ Cart3d: Register GH extension for Cartesian coordinates
+ IOUtil: Startup routine
+ IOBasic: Startup routine
+ WaveToyF77: Register banner
+
+ Parameter checking routines
+ Cart3d: Check coordinate and symmetry parameters
+ IDScalarWave: Check parameters
+
+ Initialisation
+ Cart3d: Set up 3d Cartesian coordinates
+ Time: Set timestep based on Courant condition
+ WaveToyF77: Schedule symmetries
+ IDScalarWave: Initial data for 3D wave equation
+
+ do loop over timesteps
+ WaveToyF77: Evolution of 3D wave equation
+ WaveToyF77: Boundaries of 3D wave equation
+ t = t+dt
+ if (analysis)
+ endif
+ enddo
+ Termination routines
+ Shutdown routines
+--------------------------------------------------------------------------------
+--------------------------------------------------------------------------------
+AMR driver provided by Carpet
+--------------------------------------------------------------------------------
+AMR 1D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 2D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+AMR 3D ASCII I/O provided by CarpetIOASCII
+--------------------------------------------------------------------------------
+WaveToyF77: Evolutions of a Scalar Field
+--------------------------------------------------------------------------------
+
+dh bboxes:
+rl=0 c=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([1,1,1]:[8,8,8]:[1,1,1])
+send_mg_fine=[]
+send_mg_coarse=[]
+recv_mg_fine=[]
+recv_mg_coarse=[]
+send_ref_fine=[]
+send_ref_coarse=[]
+recv_ref_fine=[]
+recv_ref_coarse=[]
+send_sync=[0:[]]
+send_ref_bnd_fine=[]
+boundaries={([0,0,0]:[0,9,9]:[1,1,1]),([1,0,0]:[8,0,9]:[1,1,1]),([9,0,0]:[9,9,9]:[1,1,1]),([1,1,0]:[8,8,0]:[1,1,1]),([1,9,0]:[8,9,9]:[1,1,1]),([1,1,9]:[8,8,9]:[1,1,1])}
+recv_sync=[0:[]]
+recv_ref_bnd_coarse=[]
+sync_not={([0,0,0]:[0,9,9]:[1,1,1]),([1,0,0]:[8,0,9]:[1,1,1]),([9,0,0]:[9,9,9]:[1,1,1]),([1,1,0]:[8,8,0]:[1,1,1]),([1,9,0]:[8,9,9]:[1,1,1]),([1,1,9]:[8,8,9]:[1,1,1])}
+
+dh bases:
+rl=0 ml=0
+exterior=([0,0,0]:[9,9,9]:[1,1,1])
+interior=([1,1,1]:[8,8,8]:[1,1,1])
+boundaries={([0,0,0]:[0,9,9]:[1,1,1]),([1,0,0]:[8,0,9]:[1,1,1]),([9,0,0]:[9,9,9]:[1,1,1]),([1,1,0]:[8,8,0]:[1,1,1]),([1,9,0]:[8,9,9]:[1,1,1]),([1,1,9]:[8,8,9]:[1,1,1])}
+----------------
+ it | |
+ | t |
+----------------
+ 0 | 0.000|
+ 1 | 0.300|
+ 2 | 0.600|
+ 3 | 0.900|
+ 4 | 1.200|
+--------------------------------------------------------------------------------
+Done.
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_rob.par b/CarpetExtra/WaveToyF77/test/wavetoyf77_rob.par
new file mode 100644
index 000000000..a6d1a4484
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_rob.par
@@ -0,0 +1,43 @@
+# $Id: wavetoyf77_rob.par,v 1.4 2003/04/09 18:33:01 schnetter Exp $
+#
+# /*@@
+# @file test_rad.par
+# @date Saturday 18 Sept 1999
+# @author Gabrielle Allen
+# @desc
+# Wavetoy parameter file demonstrating radiation boundaries in Octant
+# @enddesc
+# @@*/
+
+!DESC "Octant evolution with robin boundaries"
+
+ActiveThorns = "Boundary IOBasic IOUtil Time Cart3d Slab Carpet CarpetIOASCII CarpetLib CarpetSlab IDScalarWave WaveToyF77"
+
+Cactus::cctk_itlast = 4
+
+Time::dtfac = 0.5
+
+driver::global_nx = 10
+driver::global_ny = 10
+driver::global_nz = 10
+
+grid::type = byspacing
+grid::mode = octant
+grid::dxyz = 0.6
+
+IO::out_dir = "wavetoyf77_rob"
+
+IOBasic::outinfo_every = 1
+#IOBasic::outinfo_vars = "wavetoy::phi"
+
+#IOBasic::outScalar_every = 1
+#IOBasic::outScalar_vars = "wavetoy::phi"
+
+IOASCII::out1D_every = 1
+IOASCII::out1D_vars = "wavetoy::phi "
+
+WaveToyF77::bound = robin
+
+IDScalarWave::initial_data = gaussian
+IDScalarWave::sigma = 2.8
+IDScalarWave::radius = 5
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_rob/phi.xl b/CarpetExtra/WaveToyF77/test/wavetoyf77_rob/phi.xl
new file mode 100644
index 000000000..c591b3329
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_rob/phi.xl
@@ -0,0 +1,82 @@
+# WAVETOY::phi x (phi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 0 1 1 0.0772707537752263
+0 0 0 0 0 1 1 1 0.0772707537752263
+0 0 0 0 0 2 1 1 0.129259354697139
+0 0 0 0 0 3 1 1 0.220821442028418
+0 0 0 0 0 4 1 1 0.35290892993724
+0 0 0 0 0 5 1 1 0.519210269400491
+0 0 0 0 0 6 1 1 0.699816191967712
+0 0 0 0 0 7 1 1 0.862476271858616
+0 0 0 0 0 8 1 1 0.97103460435341
+0 0 0 0 0 9 1 1 0.998237056794807
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 0 1 1 0.388831041154735
+1 0 0 0 0 1 1 1 0.388831041154735
+1 0 0 0 0 2 1 1 0.339430441359681
+1 0 0 0 0 3 1 1 0.366492974313102
+1 0 0 0 0 4 1 1 0.476622613248931
+1 0 0 0 0 5 1 1 0.632086421371345
+1 0 0 0 0 6 1 1 0.795352838936977
+1 0 0 0 0 7 1 1 0.926776632742052
+1 0 0 0 0 8 1 1 0.991476557916373
+1 0 0 0 0 9 1 1 0.987666437076881
+
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 0 1 1 0.82504544920202
+2 0 0 0 0 1 1 1 0.82504544920202
+2 0 0 0 0 2 1 1 0.565756836771333
+2 0 0 0 0 3 1 1 0.524154352431554
+2 0 0 0 0 4 1 1 0.614675653104463
+2 0 0 0 0 5 1 1 0.755604743649443
+2 0 0 0 0 6 1 1 0.892395911218175
+2 0 0 0 0 7 1 1 0.98143202201713
+2 0 0 0 0 8 1 1 0.997651774451677
+2 0 0 0 0 9 1 1 0.953437784051319
+
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 0 1 1 1.73057832016583
+3 0 0 0 0 1 1 1 1.73057832016583
+3 0 0 0 0 2 1 1 0.959114370953934
+3 0 0 0 0 3 1 1 0.760559396113893
+3 0 0 0 0 4 1 1 0.788511514700708
+3 0 0 0 0 5 1 1 0.888135941478872
+3 0 0 0 0 6 1 1 0.978478525634592
+3 0 0 0 0 7 1 1 1.01254370213636
+3 0 0 0 0 8 1 1 0.979371873618747
+3 0 0 0 0 9 1 1 0.900286054313313
+
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 0 1 1 3.24921247997033
+4 0 0 0 0 1 1 1 3.24921247997033
+4 0 0 0 0 2 1 1 1.53343686544613
+4 0 0 0 0 3 1 1 1.07405797423003
+4 0 0 0 0 4 1 1 0.990062574922588
+4 0 0 0 0 5 1 1 1.01885055308125
+4 0 0 0 0 6 1 1 1.04423594871171
+4 0 0 0 0 7 1 1 1.01631333690387
+4 0 0 0 0 8 1 1 0.936699141990475
+4 0 0 0 0 9 1 1 0.829858376505245
+
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_rob/phi.yl b/CarpetExtra/WaveToyF77/test/wavetoyf77_rob/phi.yl
new file mode 100644
index 000000000..435261162
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_rob/phi.yl
@@ -0,0 +1,82 @@
+# WAVETOY::phi y (phi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 0 1 0.0772707537752263
+0 0 0 0 0 1 1 1 0.0772707537752263
+0 0 0 0 0 1 2 1 0.129259354697139
+0 0 0 0 0 1 3 1 0.220821442028418
+0 0 0 0 0 1 4 1 0.35290892993724
+0 0 0 0 0 1 5 1 0.519210269400491
+0 0 0 0 0 1 6 1 0.699816191967712
+0 0 0 0 0 1 7 1 0.862476271858616
+0 0 0 0 0 1 8 1 0.97103460435341
+0 0 0 0 0 1 9 1 0.998237056794807
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 0 1 0.388831041154735
+1 0 0 0 0 1 1 1 0.388831041154735
+1 0 0 0 0 1 2 1 0.339430441359681
+1 0 0 0 0 1 3 1 0.366492974313102
+1 0 0 0 0 1 4 1 0.47662261324893
+1 0 0 0 0 1 5 1 0.632086421371344
+1 0 0 0 0 1 6 1 0.795352838936977
+1 0 0 0 0 1 7 1 0.926776632742051
+1 0 0 0 0 1 8 1 0.991476557916372
+1 0 0 0 0 1 9 1 0.98766643707688
+
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 1 0 1 0.82504544920202
+2 0 0 0 0 1 1 1 0.82504544920202
+2 0 0 0 0 1 2 1 0.565756836771333
+2 0 0 0 0 1 3 1 0.524154352431554
+2 0 0 0 0 1 4 1 0.614675653104463
+2 0 0 0 0 1 5 1 0.755604743649443
+2 0 0 0 0 1 6 1 0.892395911218174
+2 0 0 0 0 1 7 1 0.981432022017129
+2 0 0 0 0 1 8 1 0.997651774451676
+2 0 0 0 0 1 9 1 0.953437784051318
+
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 1 0 1 1.73057832016583
+3 0 0 0 0 1 1 1 1.73057832016583
+3 0 0 0 0 1 2 1 0.959114370953934
+3 0 0 0 0 1 3 1 0.760559396113893
+3 0 0 0 0 1 4 1 0.788511514700708
+3 0 0 0 0 1 5 1 0.888135941478872
+3 0 0 0 0 1 6 1 0.978478525634591
+3 0 0 0 0 1 7 1 1.01254370213636
+3 0 0 0 0 1 8 1 0.979371873618745
+3 0 0 0 0 1 9 1 0.900286054313308
+
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 1 0 1 3.24921247997033
+4 0 0 0 0 1 1 1 3.24921247997033
+4 0 0 0 0 1 2 1 1.53343686544613
+4 0 0 0 0 1 3 1 1.07405797423003
+4 0 0 0 0 1 4 1 0.990062574922588
+4 0 0 0 0 1 5 1 1.01885055308125
+4 0 0 0 0 1 6 1 1.04423594871171
+4 0 0 0 0 1 7 1 1.01631333690387
+4 0 0 0 0 1 8 1 0.936699141990473
+4 0 0 0 0 1 9 1 0.82985837650524
+
+
+
diff --git a/CarpetExtra/WaveToyF77/test/wavetoyf77_rob/phi.zl b/CarpetExtra/WaveToyF77/test/wavetoyf77_rob/phi.zl
new file mode 100644
index 000000000..85352d332
--- /dev/null
+++ b/CarpetExtra/WaveToyF77/test/wavetoyf77_rob/phi.zl
@@ -0,0 +1,82 @@
+# WAVETOY::phi z (phi)
+#
+# iteration 0
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+0 0 0 0 0 1 1 0 0.0772707537752263
+0 0 0 0 0 1 1 1 0.0772707537752263
+0 0 0 0 0 1 1 2 0.129259354697139
+0 0 0 0 0 1 1 3 0.220821442028418
+0 0 0 0 0 1 1 4 0.35290892993724
+0 0 0 0 0 1 1 5 0.519210269400491
+0 0 0 0 0 1 1 6 0.699816191967712
+0 0 0 0 0 1 1 7 0.862476271858616
+0 0 0 0 0 1 1 8 0.97103460435341
+0 0 0 0 0 1 1 9 0.998237056794807
+
+
+
+# iteration 1
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+1 0 0 0 0 1 1 0 0.388831041154735
+1 0 0 0 0 1 1 1 0.388831041154735
+1 0 0 0 0 1 1 2 0.197584711009551
+1 0 0 0 0 1 1 3 0.306274145299139
+1 0 0 0 0 1 1 4 0.455464652407218
+1 0 0 0 0 1 1 5 0.629929661976572
+1 0 0 0 0 1 1 6 0.802192186813378
+1 0 0 0 0 1 1 7 0.936672532031597
+1 0 0 0 0 1 1 8 1.00073340889318
+1 0 0 0 0 1 1 9 0.995944552771732
+
+
+
+# iteration 2
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+2 0 0 0 0 1 1 0 0.82504544920202
+2 0 0 0 0 1 1 1 0.82504544920202
+2 0 0 0 0 1 1 2 0.36877201495145
+2 0 0 0 0 1 1 3 0.427575499472453
+2 0 0 0 0 1 1 4 0.587532674249213
+2 0 0 0 0 1 1 5 0.759451946807565
+2 0 0 0 0 1 1 6 0.909054497473686
+2 0 0 0 0 1 1 7 1.00072078937352
+2 0 0 0 0 1 1 8 1.01422912467588
+2 0 0 0 0 1 1 9 0.966328470909494
+
+
+
+# iteration 3
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+3 0 0 0 0 1 1 0 1.73057832016583
+3 0 0 0 0 1 1 1 1.73057832016583
+3 0 0 0 0 1 1 2 0.686358081160278
+3 0 0 0 0 1 1 3 0.60240426584507
+3 0 0 0 0 1 1 4 0.746296182815676
+3 0 0 0 0 1 1 5 0.901186355919636
+3 0 0 0 0 1 1 6 1.01218904939224
+3 0 0 0 0 1 1 7 1.04872620195508
+3 0 0 0 0 1 1 8 1.00968167694742
+3 0 0 0 0 1 1 9 0.92294069356573
+
+
+
+# iteration 4
+# time level 0 refinement level 0 component 0 multigrid level 0
+# column format: it tl rl c ml x y z data
+4 0 0 0 0 1 1 0 3.24921247997033
+4 0 0 0 0 1 1 1 3.24921247997033
+4 0 0 0 0 1 1 2 1.22166584396726
+4 0 0 0 0 1 1 3 0.859589877847065
+4 0 0 0 0 1 1 4 0.930185648195557
+4 0 0 0 0 1 1 5 1.04645093110598
+4 0 0 0 0 1 1 6 1.10292976778475
+4 0 0 0 0 1 1 7 1.07660969796605
+4 0 0 0 0 1 1 8 0.986507457535597
+4 0 0 0 0 1 1 9 0.866972393929939
+
+
+
diff --git a/CarpetExtra/WaveToyFO/README b/CarpetExtra/WaveToyFO/README
new file mode 100644
index 000000000..29c10d916
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/README
@@ -0,0 +1,10 @@
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/README,v 1.1 2003/06/18 18:24:30 schnetter Exp $
+
+Cactus Code Thorn WaveToyFO
+Thorn Author(s) : Erik Schnetter <schnetter@uni-tuebingen.de>
+Thorn Maintainer(s) : Erik Schnetter <schnetter@uni-tuebingen.de>
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+Implement WaveToy as a first order (in both space and time) system.
diff --git a/CarpetExtra/WaveToyFO/configuration.ccl b/CarpetExtra/WaveToyFO/configuration.ccl
new file mode 100644
index 000000000..0fd6cd4be
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/configuration.ccl
@@ -0,0 +1,4 @@
+# Configuration definition for thorn Carpet/WaveToyFO
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/configuration.ccl,v 1.3 2004/05/07 20:55:47 schnetter Exp $
+
+REQUIRES CartGrid3D TGRtensor
diff --git a/CarpetExtra/WaveToyFO/doc/documentation.tex b/CarpetExtra/WaveToyFO/doc/documentation.tex
new file mode 100644
index 000000000..59e9df694
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/doc/documentation.tex
@@ -0,0 +1,144 @@
+% *======================================================================*
+% Cactus Thorn template for ThornGuide documentation
+% Author: Ian Kelley
+% Date: Sun Jun 02, 2002
+% $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/doc/documentation.tex,v 1.1 2003/06/18 18:24:30 schnetter Exp $
+%
+% Thorn documentation in the latex file doc/documentation.tex
+% will be included in ThornGuides built with the Cactus make system.
+% The scripts employed by the make system automatically include
+% pages about variables, parameters and scheduling parsed from the
+% relevent thorn CCL files.
+%
+% This template contains guidelines which help to assure that your
+% documentation will be correctly added to ThornGuides. More
+% information is available in the Cactus UsersGuide.
+%
+% Guidelines:
+% - Do not change anything before the line
+% % START CACTUS THORNGUIDE",
+% except for filling in the title, author, date etc. fields.
+% - Each of these fields should only be on ONE line.
+% - Author names should be sparated with a \\ or a comma
+% - You can define your own macros, but they must appear after
+% the START CACTUS THORNGUIDE line, and must not redefine standard
+% latex commands.
+% - To avoid name clashes with other thorns, 'labels', 'citations',
+% 'references', and 'image' names should conform to the following
+% convention:
+% ARRANGEMENT_THORN_LABEL
+% For example, an image wave.eps in the arrangement CactusWave and
+% thorn WaveToyC should be renamed to CactusWave_WaveToyC_wave.eps
+% - Graphics should only be included using the graphix package.
+% More specifically, with the "includegraphics" command. Do
+% not specify any graphic file extensions in your .tex file. This
+% will allow us (later) to create a PDF version of the ThornGuide
+% via pdflatex. |
+% - References should be included with the latex "bibitem" command.
+% - Use \begin{abstract}...\end{abstract} instead of \abstract{...}
+% - Do not use \appendix, instead include any appendices you need as
+% standard sections.
+% - For the benefit of our Perl scripts, and for future extensions,
+% please use simple latex.
+%
+% *======================================================================*
+%
+% Example of including a graphic image:
+% \begin{figure}[ht]
+% \begin{center}
+% \includegraphics[width=6cm]{MyArrangement_MyThorn_MyFigure}
+% \end{center}
+% \caption{Illustration of this and that}
+% \label{MyArrangement_MyThorn_MyLabel}
+% \end{figure}
+%
+% Example of using a label:
+% \label{MyArrangement_MyThorn_MyLabel}
+%
+% Example of a citation:
+% \cite{MyArrangement_MyThorn_Author99}
+%
+% Example of including a reference
+% \bibitem{MyArrangement_MyThorn_Author99}
+% {J. Author, {\em The Title of the Book, Journal, or periodical}, 1 (1999),
+% 1--16. {\tt http://www.nowhere.com/}}
+%
+% *======================================================================*
+
+% If you are using CVS use this line to give version information
+% $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/doc/documentation.tex,v 1.1 2003/06/18 18:24:30 schnetter Exp $
+
+\documentclass{article}
+
+% Use the Cactus ThornGuide style file
+% (Automatically used from Cactus distribution, if you have a
+% thorn without the Cactus Flesh download this from the Cactus
+% homepage at www.cactuscode.org)
+\usepackage{../../../../doc/latex/cactus}
+
+\begin{document}
+
+% The author of the documentation
+\author{Erik Schnetter \textless schnetter@uni-tuebingen.de\textgreater}
+
+% The title of the document (not necessarily the name of the Thorn)
+\title{}
+
+% the date your document was last changed, if your document is in CVS,
+% please use:
+% \date{$ $Date: 2003/06/18 18:24:30 $ $}
+\date{June 18 2003}
+
+\maketitle
+
+% Do not delete next line
+% START CACTUS THORNGUIDE
+
+% Add all definitions used in this documentation here
+% \def\mydef etc
+
+% Add an abstract for this thorn's documentation
+\begin{abstract}
+
+\end{abstract}
+
+% The following sections are suggestive only.
+% Remove them or add your own.
+
+\section{Introduction}
+
+\section{Physical System}
+
+\section{Numerical Implementation}
+
+\section{Using This Thorn}
+
+\subsection{Obtaining This Thorn}
+
+\subsection{Basic Usage}
+
+\subsection{Special Behaviour}
+
+\subsection{Interaction With Other Thorns}
+
+\subsection{Examples}
+
+\subsection{Support and Feedback}
+
+\section{History}
+
+\subsection{Thorn Source Code}
+
+\subsection{Thorn Documentation}
+
+\subsection{Acknowledgements}
+
+
+\begin{thebibliography}{9}
+
+\end{thebibliography}
+
+% Do not delete next line
+% END CACTUS THORNGUIDE
+
+\end{document}
diff --git a/CarpetExtra/WaveToyFO/interface.ccl b/CarpetExtra/WaveToyFO/interface.ccl
new file mode 100644
index 000000000..91a6628a4
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/interface.ccl
@@ -0,0 +1,37 @@
+# Interface definition for thorn WaveToyFO
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/interface.ccl,v 1.4 2004/09/04 18:15:15 schnetter Exp $
+
+IMPLEMENTS: WaveToyFO
+
+INHERITS: grid
+
+
+
+CCTK_INT FUNCTION Boundary_SelectGroupForBC(CCTK_POINTER_TO_CONST IN GH, \
+ CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, \
+ CCTK_STRING IN group_name, CCTK_STRING IN bc_name)
+
+REQUIRES FUNCTION Boundary_SelectGroupForBC
+
+
+
+CCTK_INT FUNCTION MoLRegisterEvolvedGroup(CCTK_INT IN EvolvedIndex, \
+ CCTK_INT IN RHSIndex)
+
+REQUIRES FUNCTION MoLRegisterEvolvedGroup
+
+
+
+PUBLIC:
+
+CCTK_REAL scalarevolve TYPE=gf TIMELEVELS=3
+{
+ phi psix psiy psiz
+} "Scalar field"
+
+PRIVATE:
+
+CCTK_REAL scalarevolvedot TYPE=gf
+{
+ phidot psixdot psiydot psizdot
+} "Time derivative of the scalar field"
diff --git a/CarpetExtra/WaveToyFO/par/fo1d.gnu b/CarpetExtra/WaveToyFO/par/fo1d.gnu
new file mode 100644
index 000000000..3a3c00beb
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/par/fo1d.gnu
@@ -0,0 +1,19 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/par/fo1d.gnu,v 1.1 2003/06/18 20:08:29 schnetter Exp $
+
+set grid
+
+dt=0.05
+f(x)=cos(2*pi*(x+t*dt))
+
+t=200
+
+
+p [0:1] "fo1d_1l_0020/phi.xl" i t u 10:13 w l, "fo1d_1l_0040/phi.xl" i t u 10:13 w l, "fo1d_1l_0080/phi.xl" i t u 10:13 w l, f(x)
+
+p [0:1] "fo1d_1l_0020/phi.xl" i t u 10:($13-f($10)) w l, "fo1d_1l_0040/phi.xl" i t u 10:(4*($13-f($10))) w l, "fo1d_1l_0080/phi.xl" i t u 10:(16*($13-f($10))) w l
+
+
+
+p [0:1] "fo1d_2l_0020/phi.xl" i 2*t u 10:13 w l, "fo1d_2l_0040/phi.xl" i 2*t u 10:13 w l, "fo1d_2l_0080/phi.xl" i 2*t u 10:13 w l, "fo1d_2l_0160/phi.xl" i 2*t u 10:13 w l, "fo1d_2l_0320/phi.xl" i 2*t u 10:13 w l, f(x)
+
+p [0:1] "fo1d_2l_0020/phi.xl" i 2*t u 10:($13-f($10)) w l, "fo1d_2l_0040/phi.xl" i 2*t u 10:(4*($13-f($10))) w l, "fo1d_2l_0080/phi.xl" i 2*t u 10:(16*($13-f($10))) w l, "fo1d_2l_0160/phi.xl" i 2*t u 10:(64*($13-f($10))) w l, "fo1d_2l_0320/phi.xl" i 2*t u 10:(256*($13-f($10))) w l
diff --git a/CarpetExtra/WaveToyFO/par/fo1d_1l_0020.par b/CarpetExtra/WaveToyFO/par/fo1d_1l_0020.par
new file mode 100644
index 000000000..958d714e5
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/par/fo1d_1l_0020.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/par/fo1d_1l_0020.par,v 1.2 2004/03/23 12:02:17 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 3200
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 16
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 24
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 1
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([28,4,4]:[68,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.1
+grid::ymin = -0.1
+grid::zmin = -0.1
+grid::xmax = +1.05
+grid::ymax = +0.1
+grid::zmax = +0.1
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time MoL"
+
+Time::dtfac = 0.25
+
+MoL::ODE_Method = ICN
+
+#MoL::ODE_Method = RK2
+#MoL::MoL_Intermediate_Steps = 2
+
+
+
+ActiveThorns = "IDScalarWaveFO WaveToyFO"
+
+IDScalarWaveFO::wave_number[0] = 1.0
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "WaveToyFO::scalarevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "fo1d_1l_0020"
+
+IOBasic::outInfo_every = 16
+IOBasic::outInfo_vars = "WaveToyFO::phi"
+
+IOBasic::outScalar_every = 16
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyFO::scalarevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 16
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyFO::scalarevolve"
+
+#IOASCII::out3D_every = 16
+#IOASCII::out3D_vars = "WaveToyFO::scalarevolve"
diff --git a/CarpetExtra/WaveToyFO/par/fo1d_1l_0040.par b/CarpetExtra/WaveToyFO/par/fo1d_1l_0040.par
new file mode 100644
index 000000000..5bc8b8625
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/par/fo1d_1l_0040.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/par/fo1d_1l_0040.par,v 1.2 2004/03/23 12:02:17 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 6400
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 32
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 44
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 1
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([48,4,4]:[128,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.05
+grid::ymin = -0.05
+grid::zmin = -0.05
+grid::xmax = +1.025
+grid::ymax = +0.05
+grid::zmax = +0.05
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time MoL"
+
+Time::dtfac = 0.25
+
+MoL::ODE_Method = ICN
+
+#MoL::ODE_Method = RK2
+#MoL::MoL_Intermediate_Steps = 2
+
+
+
+ActiveThorns = "IDScalarWaveFO WaveToyFO"
+
+IDScalarWaveFO::wave_number[0] = 1.0
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "WaveToyFO::scalarevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "fo1d_1l_0040"
+
+IOBasic::outInfo_every = 32
+IOBasic::outInfo_vars = "WaveToyFO::phi"
+
+IOBasic::outScalar_every = 32
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyFO::scalarevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 32
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyFO::scalarevolve"
+
+#IOASCII::out3D_every = 32
+#IOASCII::out3D_vars = "WaveToyFO::scalarevolve"
diff --git a/CarpetExtra/WaveToyFO/par/fo1d_1l_0080.par b/CarpetExtra/WaveToyFO/par/fo1d_1l_0080.par
new file mode 100644
index 000000000..73f013341
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/par/fo1d_1l_0080.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/par/fo1d_1l_0080.par,v 1.2 2004/03/23 12:02:17 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 12800
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 64
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 84
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 1
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([88,4,4]:[248,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.025
+grid::ymin = -0.025
+grid::zmin = -0.025
+grid::xmax = +1.0125
+grid::ymax = +0.025
+grid::zmax = +0.025
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time MoL"
+
+Time::dtfac = 0.25
+
+MoL::ODE_Method = ICN
+
+#MoL::ODE_Method = RK2
+#MoL::MoL_Intermediate_Steps = 2
+
+
+
+ActiveThorns = "IDScalarWaveFO WaveToyFO"
+
+IDScalarWaveFO::wave_number[0] = 1.0
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "WaveToyFO::scalarevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "fo1d_1l_0080"
+
+IOBasic::outInfo_every = 64
+IOBasic::outInfo_vars = "WaveToyFO::phi"
+
+IOBasic::outScalar_every = 64
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyFO::scalarevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 64
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyFO::scalarevolve"
+
+#IOASCII::out3D_every = 64
+#IOASCII::out3D_vars = "WaveToyFO::scalarevolve"
diff --git a/CarpetExtra/WaveToyFO/par/fo1d_2l_0020.par b/CarpetExtra/WaveToyFO/par/fo1d_2l_0020.par
new file mode 100644
index 000000000..9b85edcf6
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/par/fo1d_2l_0020.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/par/fo1d_2l_0020.par,v 1.2 2004/03/23 12:02:17 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 3200
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 16
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 24
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([28,4,4]:[68,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.1
+grid::ymin = -0.1
+grid::zmin = -0.1
+grid::xmax = +1.05
+grid::ymax = +0.1
+grid::zmax = +0.1
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time MoL"
+
+Time::dtfac = 0.25
+
+MoL::ODE_Method = ICN
+
+#MoL::ODE_Method = RK2
+#MoL::MoL_Intermediate_Steps = 2
+
+
+
+ActiveThorns = "IDScalarWaveFO WaveToyFO"
+
+IDScalarWaveFO::wave_number[0] = 1.0
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "WaveToyFO::scalarevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "fo1d_2l_0020"
+
+IOBasic::outInfo_every = 16
+IOBasic::outInfo_vars = "WaveToyFO::phi IDScalarWaveFO::phierror"
+
+IOBasic::outScalar_every = 16
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyFO::scalarevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 16
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyFO::scalarevolve"
+
+#IOASCII::out3D_every = 16
+#IOASCII::out3D_vars = "WaveToyFO::scalarevolve"
diff --git a/CarpetExtra/WaveToyFO/par/fo1d_2l_0040.par b/CarpetExtra/WaveToyFO/par/fo1d_2l_0040.par
new file mode 100644
index 000000000..0bed4c7d9
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/par/fo1d_2l_0040.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/par/fo1d_2l_0040.par,v 1.2 2004/03/23 12:02:17 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 6400
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 32
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 44
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([48,4,4]:[128,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.05
+grid::ymin = -0.05
+grid::zmin = -0.05
+grid::xmax = +1.025
+grid::ymax = +0.05
+grid::zmax = +0.05
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time MoL"
+
+Time::dtfac = 0.25
+
+MoL::ODE_Method = ICN
+
+#MoL::ODE_Method = RK2
+#MoL::MoL_Intermediate_Steps = 2
+
+
+
+ActiveThorns = "IDScalarWaveFO WaveToyFO"
+
+IDScalarWaveFO::wave_number[0] = 1.0
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "WaveToyFO::scalarevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "fo1d_2l_0040"
+
+IOBasic::outInfo_every = 32
+IOBasic::outInfo_vars = "WaveToyFO::phi"
+
+IOBasic::outScalar_every = 32
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyFO::scalarevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 32
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyFO::scalarevolve"
+
+#IOASCII::out3D_every = 32
+#IOASCII::out3D_vars = "WaveToyFO::scalarevolve"
diff --git a/CarpetExtra/WaveToyFO/par/fo1d_2l_0080.par b/CarpetExtra/WaveToyFO/par/fo1d_2l_0080.par
new file mode 100644
index 000000000..19ddd58b3
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/par/fo1d_2l_0080.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/par/fo1d_2l_0080.par,v 1.2 2004/03/23 12:02:17 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 12800
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 64
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 84
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([88,4,4]:[248,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.025
+grid::ymin = -0.025
+grid::zmin = -0.025
+grid::xmax = +1.0125
+grid::ymax = +0.025
+grid::zmax = +0.025
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time MoL"
+
+Time::dtfac = 0.25
+
+MoL::ODE_Method = ICN
+
+#MoL::ODE_Method = RK2
+#MoL::MoL_Intermediate_Steps = 2
+
+
+
+ActiveThorns = "IDScalarWaveFO WaveToyFO"
+
+IDScalarWaveFO::wave_number[0] = 1.0
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "WaveToyFO::scalarevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "fo1d_2l_0080"
+
+IOBasic::outInfo_every = 64
+IOBasic::outInfo_vars = "WaveToyFO::phi"
+
+IOBasic::outScalar_every = 64
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyFO::scalarevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 64
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyFO::scalarevolve"
+
+#IOASCII::out3D_every = 64
+#IOASCII::out3D_vars = "WaveToyFO::scalarevolve"
diff --git a/CarpetExtra/WaveToyFO/par/fo1d_2l_0160.par b/CarpetExtra/WaveToyFO/par/fo1d_2l_0160.par
new file mode 100644
index 000000000..0cfd11fe3
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/par/fo1d_2l_0160.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/par/fo1d_2l_0160.par,v 1.2 2004/03/23 12:02:17 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 25600
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 128
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 164
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([168,4,4]:[488,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.0125
+grid::ymin = -0.0125
+grid::zmin = -0.0125
+grid::xmax = +1.00625
+grid::ymax = +0.0125
+grid::zmax = +0.0125
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time MoL"
+
+Time::dtfac = 0.25
+
+MoL::ODE_Method = ICN
+
+#MoL::ODE_Method = RK2
+#MoL::MoL_Intermediate_Steps = 2
+
+
+
+ActiveThorns = "IDScalarWaveFO WaveToyFO"
+
+IDScalarWaveFO::wave_number[0] = 1.0
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "WaveToyFO::scalarevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "fo1d_2l_0160"
+
+IOBasic::outInfo_every = 128
+IOBasic::outInfo_vars = "WaveToyFO::phi"
+
+IOBasic::outScalar_every = 128
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyFO::scalarevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 128
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyFO::scalarevolve"
+
+#IOASCII::out3D_every = 128
+#IOASCII::out3D_vars = "WaveToyFO::scalarevolve"
diff --git a/CarpetExtra/WaveToyFO/par/fo1d_2l_0320.par b/CarpetExtra/WaveToyFO/par/fo1d_2l_0320.par
new file mode 100644
index 000000000..84bdcf712
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/par/fo1d_2l_0320.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/par/fo1d_2l_0320.par,v 1.2 2004/03/23 12:02:17 schnetter Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 51200
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 256
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 324
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([328,4,4]:[968,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "Boundary CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.00625
+grid::ymin = -0.00625
+grid::zmin = -0.00625
+grid::xmax = +1.003125
+grid::ymax = +0.00625
+grid::zmax = +0.00625
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time MoL"
+
+Time::dtfac = 0.25
+
+MoL::ODE_Method = ICN
+
+#MoL::ODE_Method = RK2
+#MoL::MoL_Intermediate_Steps = 2
+
+
+
+ActiveThorns = "IDScalarWaveFO WaveToyFO"
+
+IDScalarWaveFO::wave_number[0] = 1.0
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "WaveToyFO::scalarevolve"
+
+
+
+ActiveThorns = "IOUtil IOBasic CarpetIOASCII"
+
+IO::out_dir = "fo1d_2l_0320"
+
+IOBasic::outInfo_every = 256
+IOBasic::outInfo_vars = "WaveToyFO::phi"
+
+IOBasic::outScalar_every = 256
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyFO::scalarevolve"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 256
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyFO::scalarevolve"
+
+#IOASCII::out3D_every = 256
+#IOASCII::out3D_vars = "WaveToyFO::scalarevolve"
diff --git a/CarpetExtra/WaveToyFO/param.ccl b/CarpetExtra/WaveToyFO/param.ccl
new file mode 100644
index 000000000..0af723701
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/param.ccl
@@ -0,0 +1,20 @@
+# Parameter definitions for thorn WaveToyFO
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/param.ccl,v 1.1 2003/06/18 18:24:30 schnetter Exp $
+
+SHARES: MethodOfLines
+
+USES CCTK_INT MoL_Num_Evolved_Vars
+
+RESTRICTED:
+
+CCTK_INT WaveToyMoL_MaxNumEvolvedVars "The maximum number of evolved variables used by WaveMoL" ACCUMULATOR-BASE=MethodofLines::MoL_Num_Evolved_Vars
+{
+ 4:4 :: ""
+} 4
+
+PRIVATE:
+
+STRING bound "Type of boundary condition to use"
+{
+ .* :: "must be a registered boundary condition"
+} "None"
diff --git a/CarpetExtra/WaveToyFO/schedule.ccl b/CarpetExtra/WaveToyFO/schedule.ccl
new file mode 100644
index 000000000..85ec91def
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/schedule.ccl
@@ -0,0 +1,68 @@
+# Schedule definitions for thorn WaveToyFO
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/schedule.ccl,v 1.6 2004/05/06 14:21:18 schnetter Exp $
+
+STORAGE: scalarevolve[3]
+STORAGE: scalarevolvedot
+
+
+
+SCHEDULE WaveToyFO_Startup AT startup
+{
+ LANG: Fortran
+} "Register banner"
+
+SCHEDULE WaveToyFO_InitSymBound AT basegrid
+{
+ LANG: Fortran
+ OPTIONS: global
+} "Schedule symmetries"
+
+SCHEDULE WaveToyFO_RegisterVars IN MoL_Register
+{
+ LANG: Fortran
+ OPTIONS: global
+} "Register variables for FO"
+
+
+
+SCHEDULE WaveToyFO_CalcRHS IN MoL_CalcRHS
+{
+ LANG: Fortran
+} "Calculate RHS for FO"
+
+SCHEDULE WaveToyFO_RHSBoundaries IN MoL_CalcRHS AFTER WaveToyFO_CalcRHS
+{
+ LANG: Fortran
+ SYNC: scalarevolvedot
+ OPTIONS: level
+} "Select RHS boundary conditions in FO"
+
+SCHEDULE GROUP ApplyBCs IN MoL_CalcRHS AFTER WaveToyFO_RHSBoundaries
+{
+} "Apply RHSboundary conditions in FO"
+
+
+
+SCHEDULE WaveToyFO_Boundaries IN MoL_PostStep
+{
+ LANG: Fortran
+ SYNC: scalarevolve
+ OPTIONS: level
+} "Select boundary conditions in FO"
+
+SCHEDULE GROUP ApplyBCs IN MoL_PostStep AFTER WaveToyFO_Boundaries
+{
+} "Apply boundary conditions in FO"
+
+
+
+SCHEDULE WaveToyFO_Boundaries AT POSTRESTRICT
+{
+ LANG: Fortran
+ SYNC: scalarevolve
+ OPTIONS: level
+} "Select boundary conditions after restricting"
+
+SCHEDULE GROUP ApplyBCs AT POSTRESTRICT AFTER WaveToyFO_Boundaries
+{
+} "Apply boundary conditions after restricting"
diff --git a/CarpetExtra/WaveToyFO/src/boundaries.F77 b/CarpetExtra/WaveToyFO/src/boundaries.F77
new file mode 100644
index 000000000..d2a0b03e2
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/src/boundaries.F77
@@ -0,0 +1,23 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/src/boundaries.F77,v 1.3 2004/05/06 14:21:18 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine WaveToyFO_Boundaries (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ CCTK_INT bndwidth
+ parameter (bndwidth = 1)
+ character fbound*100
+ CCTK_INT fboundlen
+ integer ierr
+ call CCTK_FortranString (fboundlen, bound, fbound)
+ if (fboundlen.lt.0) call CCTK_WARN (0, "internal error")
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, bndwidth, -1,
+ $ "WaveToyFO::scalarevolve", fbound);
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ end
diff --git a/CarpetExtra/WaveToyFO/src/calcrhs.F77 b/CarpetExtra/WaveToyFO/src/calcrhs.F77
new file mode 100644
index 000000000..55734ed1e
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/src/calcrhs.F77
@@ -0,0 +1,98 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/src/calcrhs.F77,v 1.8 2004/08/28 19:10:33 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+
+
+ function WaveToyFO_Deriv (fm2, fm1, f0, fp1, fp2, dx, dir)
+ implicit none
+ CCTK_REAL WaveToyFO_Deriv
+ CCTK_REAL fm2, fm1, f0, fp1, fp2
+ CCTK_REAL dx
+ integer dir
+
+ if (dir .eq. 0) then
+ WaveToyFO_Deriv = (fp1 - fm1) / (2 * dx)
+ else if (dir .eq. -1) then
+c Use first order one-sided derivatives here.
+c These are less dissipative than second order one-sided derivatives.
+c (Sic.)
+ WaveToyFO_Deriv = (f0 - fm1) / dx
+c$$$ WaveToyFO_Deriv = (+ 3*f0 - 4*fm1 + fm2) / (2*dx)
+ else if (dir .eq. +1) then
+ WaveToyFO_Deriv = (fp1 - f0) / dx
+c$$$ WaveToyFO_Deriv = (- 3*f0 + 4*fp1 - fp2) / (2*dx)
+ else
+ call CCTK_WARN (0, "internal error")
+ end if
+
+ end
+
+
+
+#define CHOOSEDIR(i,imin,imax) ((min(i+1,imax) - (i+1)) + (max(i-1,imin) - (i-1)))
+
+#define DIFFX(var,i,j,k) WaveToyFO_Deriv(var((i)-2,j,k), var((i)-1,j,k), var(i,j,k), var((i)+1,j,k), var((i)+2,j,k), dx(1), idir(1))
+#define DIFFY(var,i,j,k) WaveToyFO_Deriv(var(i,(j)-2,k), var(i,(j)-1,k), var(i,j,k), var(i,(j)+1,k), var(i,(j)+2,k), dx(2), idir(2))
+#define DIFFZ(var,i,j,k) WaveToyFO_Deriv(var(i,j,(k)-2), var(i,j,(k)-1), var(i,j,k), var(i,j,(k)+1), var(i,j,(k)+2), dx(3), idir(3))
+
+
+
+ subroutine WaveToyFO_CalcRHS (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+
+ CCTK_REAL dx(3)
+ integer bndwidth(3)
+ integer imin(3), imax(3), idir(3)
+ integer i, j, k
+ integer d
+
+ external WaveToyFO_Deriv
+ CCTK_REAL WaveToyFO_Deriv
+
+ do d=1,3
+ bndwidth(d) = 0
+ end do
+
+ do d=1,3
+ if (cctk_bbox(2*d).ne.0) then
+ imin(d) = 1+bndwidth(d)
+ else
+ imin(d) = 1+cctk_nghostzones(d)
+ end if
+ if (cctk_bbox(2*d+1).ne.0) then
+ imax(d) = cctk_lsh(d)-bndwidth(d)
+ else
+ imax(d) = cctk_lsh(d)-cctk_nghostzones(d)
+ end if
+ end do
+
+ do d=1,3
+ dx(d) = CCTK_DELTA_SPACE(d)
+ end do
+
+ do k=imin(3),imax(3)
+ idir(3) = CHOOSEDIR(k,imin(3),imax(3))
+ do j=imin(2),imax(2)
+ idir(2) = CHOOSEDIR(j,imin(2),imax(2))
+ do i=imin(1),imax(1)
+ idir(1) = CHOOSEDIR(i,imin(1),imax(1))
+
+ phidot(i,j,k) = DIFFX (psix,i,j,k)
+ $ + DIFFY (psiy,i,j,k)
+ $ + DIFFZ (psiz,i,j,k)
+ psixdot(i,j,k) = DIFFX (phi,i,j,k)
+ psiydot(i,j,k) = DIFFY (phi,i,j,k)
+ psizdot(i,j,k) = DIFFZ (phi,i,j,k)
+
+ end do
+ end do
+ end do
+
+ end
diff --git a/CarpetExtra/WaveToyFO/src/initsymbound.F77 b/CarpetExtra/WaveToyFO/src/initsymbound.F77
new file mode 100644
index 000000000..00ab7ef85
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/src/initsymbound.F77
@@ -0,0 +1,27 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/src/initsymbound.F77,v 1.2 2003/10/27 15:31:41 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine WaveToyFO_InitSymBound (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ integer sym(3), symx(3), symy(3), symz(3)
+ data sym /+1, +1, +1/
+ data symx /-1, +1, +1/
+ data symy /+1, -1, +1/
+ data symz /+1, +1, -1/
+ integer ierr
+ call SetCartSymVN (ierr, cctkGH, sym, "WaveToyFO::phi")
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ call SetCartSymVN (ierr, cctkGH, symx, "WaveToyFO::psix")
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ call SetCartSymVN (ierr, cctkGH, symy, "WaveToyFO::psiy")
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ call SetCartSymVN (ierr, cctkGH, symz, "WaveToyFO::psiz")
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ end
diff --git a/CarpetExtra/WaveToyFO/src/make.code.defn b/CarpetExtra/WaveToyFO/src/make.code.defn
new file mode 100644
index 000000000..6e92555b6
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn WaveToyFO
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/src/make.code.defn,v 1.4 2004/09/04 18:15:15 schnetter Exp $
+
+# Source files in this directory
+SRCS = boundaries.F77 calcrhs.F77 initsymbound.F77 registervars.F77 rhsboundaries.F77 startup.F77
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/CarpetExtra/WaveToyFO/src/registervars.F77 b/CarpetExtra/WaveToyFO/src/registervars.F77
new file mode 100644
index 000000000..6f3bd41af
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/src/registervars.F77
@@ -0,0 +1,21 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/src/registervars.F77,v 1.2 2003/10/27 15:31:41 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine WaveToyFO_RegisterVars (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ integer group, groupdot
+ integer ierr
+ call CCTK_GroupIndex(group, "WaveToyFO::scalarevolve")
+ if (group.lt.0) call CCTK_WARN (0, "internal error")
+ call CCTK_GroupIndex(groupdot, "WaveToyFO::scalarevolvedot")
+ if (groupdot.lt.0) call CCTK_WARN (0, "internal error")
+ ierr = MolRegisterEvolvedGroup (group, groupdot)
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ end
diff --git a/CarpetExtra/WaveToyFO/src/rhsboundaries.F77 b/CarpetExtra/WaveToyFO/src/rhsboundaries.F77
new file mode 100644
index 000000000..1326003a3
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/src/rhsboundaries.F77
@@ -0,0 +1,19 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/src/rhsboundaries.F77,v 1.1 2004/05/06 14:21:18 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine WaveToyFO_RHSBoundaries (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ CCTK_INT bndwidth
+ parameter (bndwidth = 1)
+ integer ierr
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, bndwidth, -1,
+ $ "WaveToyFO::scalarevolvedot", "none");
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ end
diff --git a/CarpetExtra/WaveToyFO/src/startup.F77 b/CarpetExtra/WaveToyFO/src/startup.F77
new file mode 100644
index 000000000..ae38706af
--- /dev/null
+++ b/CarpetExtra/WaveToyFO/src/startup.F77
@@ -0,0 +1,14 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyFO/src/startup.F77,v 1.2 2003/10/27 15:31:41 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine WaveToyFO_Startup
+ implicit none
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ integer ierr
+ call CCTK_RegisterBanner (ierr, "WaveToyFO: Evolving a scalar field as a first order system")
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ end
diff --git a/CarpetExtra/WaveToyMoL/README b/CarpetExtra/WaveToyMoL/README
new file mode 100644
index 000000000..1cee06d63
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/README
@@ -0,0 +1,10 @@
+CVS info : $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/README,v 1.1 2003/06/18 18:24:30 schnetter Exp $
+
+Cactus Code Thorn WaveToyMoL
+Thorn Author(s) : Erik Schnetter <schnetter@uni-tuebingen.de>
+Thorn Maintainer(s) : Erik Schnetter <schnetter@uni-tuebingen.de>
+--------------------------------------------------------------------------
+
+Purpose of the thorn:
+
+Implement WaveToy using MoL as time integrator.
diff --git a/CarpetExtra/WaveToyMoL/configuration.ccl b/CarpetExtra/WaveToyMoL/configuration.ccl
new file mode 100644
index 000000000..f3c7db05c
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/configuration.ccl
@@ -0,0 +1,4 @@
+# Configuration definition for thorn Carpet/WaveToyMoL
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/configuration.ccl,v 1.2 2004/04/18 14:10:29 schnetter Exp $
+
+REQUIRES CartGrid3D
diff --git a/CarpetExtra/WaveToyMoL/doc/documentation.tex b/CarpetExtra/WaveToyMoL/doc/documentation.tex
new file mode 100644
index 000000000..0d275c478
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/doc/documentation.tex
@@ -0,0 +1,144 @@
+% *======================================================================*
+% Cactus Thorn template for ThornGuide documentation
+% Author: Ian Kelley
+% Date: Sun Jun 02, 2002
+% $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/doc/documentation.tex,v 1.1 2003/06/18 18:24:30 schnetter Exp $
+%
+% Thorn documentation in the latex file doc/documentation.tex
+% will be included in ThornGuides built with the Cactus make system.
+% The scripts employed by the make system automatically include
+% pages about variables, parameters and scheduling parsed from the
+% relevent thorn CCL files.
+%
+% This template contains guidelines which help to assure that your
+% documentation will be correctly added to ThornGuides. More
+% information is available in the Cactus UsersGuide.
+%
+% Guidelines:
+% - Do not change anything before the line
+% % START CACTUS THORNGUIDE",
+% except for filling in the title, author, date etc. fields.
+% - Each of these fields should only be on ONE line.
+% - Author names should be sparated with a \\ or a comma
+% - You can define your own macros, but they must appear after
+% the START CACTUS THORNGUIDE line, and must not redefine standard
+% latex commands.
+% - To avoid name clashes with other thorns, 'labels', 'citations',
+% 'references', and 'image' names should conform to the following
+% convention:
+% ARRANGEMENT_THORN_LABEL
+% For example, an image wave.eps in the arrangement CactusWave and
+% thorn WaveToyC should be renamed to CactusWave_WaveToyC_wave.eps
+% - Graphics should only be included using the graphix package.
+% More specifically, with the "includegraphics" command. Do
+% not specify any graphic file extensions in your .tex file. This
+% will allow us (later) to create a PDF version of the ThornGuide
+% via pdflatex. |
+% - References should be included with the latex "bibitem" command.
+% - Use \begin{abstract}...\end{abstract} instead of \abstract{...}
+% - Do not use \appendix, instead include any appendices you need as
+% standard sections.
+% - For the benefit of our Perl scripts, and for future extensions,
+% please use simple latex.
+%
+% *======================================================================*
+%
+% Example of including a graphic image:
+% \begin{figure}[ht]
+% \begin{center}
+% \includegraphics[width=6cm]{MyArrangement_MyThorn_MyFigure}
+% \end{center}
+% \caption{Illustration of this and that}
+% \label{MyArrangement_MyThorn_MyLabel}
+% \end{figure}
+%
+% Example of using a label:
+% \label{MyArrangement_MyThorn_MyLabel}
+%
+% Example of a citation:
+% \cite{MyArrangement_MyThorn_Author99}
+%
+% Example of including a reference
+% \bibitem{MyArrangement_MyThorn_Author99}
+% {J. Author, {\em The Title of the Book, Journal, or periodical}, 1 (1999),
+% 1--16. {\tt http://www.nowhere.com/}}
+%
+% *======================================================================*
+
+% If you are using CVS use this line to give version information
+% $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/doc/documentation.tex,v 1.1 2003/06/18 18:24:30 schnetter Exp $
+
+\documentclass{article}
+
+% Use the Cactus ThornGuide style file
+% (Automatically used from Cactus distribution, if you have a
+% thorn without the Cactus Flesh download this from the Cactus
+% homepage at www.cactuscode.org)
+\usepackage{../../../../doc/latex/cactus}
+
+\begin{document}
+
+% The author of the documentation
+\author{Erik Schnetter \textless schnetter@uni-tuebingen.de\textgreater}
+
+% The title of the document (not necessarily the name of the Thorn)
+\title{}
+
+% the date your document was last changed, if your document is in CVS,
+% please use:
+% \date{$ $Date: 2003/06/18 18:24:30 $ $}
+\date{June 07 2003}
+
+\maketitle
+
+% Do not delete next line
+% START CACTUS THORNGUIDE
+
+% Add all definitions used in this documentation here
+% \def\mydef etc
+
+% Add an abstract for this thorn's documentation
+\begin{abstract}
+
+\end{abstract}
+
+% The following sections are suggestive only.
+% Remove them or add your own.
+
+\section{Introduction}
+
+\section{Physical System}
+
+\section{Numerical Implementation}
+
+\section{Using This Thorn}
+
+\subsection{Obtaining This Thorn}
+
+\subsection{Basic Usage}
+
+\subsection{Special Behaviour}
+
+\subsection{Interaction With Other Thorns}
+
+\subsection{Examples}
+
+\subsection{Support and Feedback}
+
+\section{History}
+
+\subsection{Thorn Source Code}
+
+\subsection{Thorn Documentation}
+
+\subsection{Acknowledgements}
+
+
+\begin{thebibliography}{9}
+
+\end{thebibliography}
+
+% Do not delete next line
+% END CACTUS THORNGUIDE
+
+\end{document}
diff --git a/CarpetExtra/WaveToyMoL/interface.ccl b/CarpetExtra/WaveToyMoL/interface.ccl
new file mode 100644
index 000000000..65e4cb5a0
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/interface.ccl
@@ -0,0 +1,42 @@
+# Interface definition for thorn WaveToyMoL
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/interface.ccl,v 1.4 2004/05/21 17:43:57 schnetter Exp $
+
+IMPLEMENTS: WaveToyMoL
+
+INHERITS: grid
+
+
+
+CCTK_INT FUNCTION Boundary_SelectGroupForBC(CCTK_POINTER_TO_CONST IN GH, \
+ CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, \
+ CCTK_STRING IN group_name, CCTK_STRING IN bc_name)
+
+REQUIRES FUNCTION Boundary_SelectGroupForBC
+
+
+
+CCTK_INT FUNCTION MoLRegisterEvolvedGroup(CCTK_INT IN EvolvedIndex, \
+ CCTK_INT IN RHSIndex)
+
+REQUIRES FUNCTION MoLRegisterEvolvedGroup
+
+
+
+PUBLIC:
+
+CCTK_REAL scalarevolve TYPE=gf TIMELEVELS=3
+{
+ phi psi
+} "Scalar field"
+
+PRIVATE:
+
+CCTK_REAL scalarevolvedot TYPE=gf
+{
+ phidot psidot
+} "Time derivative of the scalar field"
+
+CCTK_REAL scalarevolveerrorestimate TYPE=gf
+{
+ error
+} "Error estimate"
diff --git a/CarpetExtra/WaveToyMoL/par/sw1d.gnu b/CarpetExtra/WaveToyMoL/par/sw1d.gnu
new file mode 100644
index 000000000..834756543
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/par/sw1d.gnu
@@ -0,0 +1,55 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/par/sw1d.gnu,v 1.2 2003/06/30 17:28:51 schnetter Exp $
+
+set grid
+
+dt=0.05
+f(x)=cos(2*pi*(x+t*dt))
+
+t=200
+
+
+p [0:1] "sw1d_1l_0020/phi.xl" i t u 10:13 w l, "sw1d_1l_0040/phi.xl" i t u 10:13 w l, "sw1d_1l_0080/phi.xl" i t u 10:13 w l, f(x)
+
+p [0:1] "sw1d_1l_0020/phi.xl" i t u 10:($13-f($10)) w l, "sw1d_1l_0040/phi.xl" i t u 10:(4*($13-f($10))) w l, "sw1d_1l_0080/phi.xl" i t u 10:(16*($13-f($10))) w l
+
+
+
+p [0:1] "sw1d_2l_0020/phi.xl" i 2*t u 10:13 w l, "sw1d_2l_0040/phi.xl" i 2*t u 10:13 w l, "sw1d_2l_0080/phi.xl" i 2*t u 10:13 w l, "sw1d_2l_0160/phi.xl" i 2*t u 10:13 w l, "sw1d_2l_0320/phi.xl" i 2*t u 10:13 w l, f(x)
+
+p [0:1] "sw1d_2l_0020/phi.xl" i 2*t u 10:($13-f($10)) w l, "sw1d_2l_0040/phi.xl" i 2*t u 10:(4*($13-f($10))) w l, "sw1d_2l_0080/phi.xl" i 2*t u 10:(16*($13-f($10))) w l, "sw1d_2l_0160/phi.xl" i 2*t u 10:(64*($13-f($10))) w l, "sw1d_2l_0320/phi.xl" i 2*t u 10:(256*($13-f($10))) w l
+
+
+
+
+
+set grid
+
+
+dt=0.1
+A=1.0/16.0
+
+f(x)=A*t*dt*sin(2*pi*x)*cos(2*pi*dt*t)
+
+
+
+t=400
+
+p [0:1] "sw1d_1l_0020/phierror.xl" i t u 10:13 w lp, "sw1d_1l_0040/phierror.xl" i 2*t u 10:(4*$13) w lp, "sw1d_1l_0080/phierror.xl" i 4*t u 10:(16*$13) w lp
+
+
+
+p [0:1] "sw1d_2l_0020/phi.xl" i 3*t ev :::2::2 u 10:13 w l, "sw1d_2l_0040/phi.xl" i 3*2*t ev :::2::2 u 10:13 w l, "sw1d_2l_0080/phi.xl" i 3*4*t ev :::2::2 u 10:13 w l, "sw1d_2l_0160/phi.xl" i 3*8*t ev :::2::2 u 10:13 w l, "sw1d_2l_0320/phi.xl" i 3*16*t ev :::2::2 u 10:13 w l, cos(2*pi*x)
+p [0:1] "sw1d_2l_20/phierror.xl" i 3*t u 10:13 w l, "sw1d_2l_40/phierror.xl" i 3*2*t u 10:(4*$13) w l, "sw1d_2l_80/phierror.xl" i 3*4*t u 10:(16*$13) w l, "sw1d_2l_160/phierror.xl" i 3*8*t u 10:(64*$13) w l, "sw1d_2l_320/phierror.xl" i 3*16*t u 10:(256*$13) w l
+
+p [0:1] "sw1d_2l_0020/phi.xl" i 2*t u 10:13 w l, "sw1d_2l_0040/phi.xl" i 2*t u 10:13 w l, "sw1d_2l_0080/phi.xl" i 2*t u 10:13 w l, "sw1d_2l_0160/phi.xl" i 2*t u 10:13 w l, "sw1d_2l_0320/phi.xl" i 2*t u 10:13 w l, cos(2*pi*x)
+p [0:1] "sw1d_2l_0020/phierror.xl" i 2*t u 10:13 w l, "sw1d_2l_0040/phierror.xl" i 2*t u 10:(4*$13) w l, "sw1d_2l_0080/phierror.xl" i 2*t u 10:(16*$13) w l, "sw1d_2l_0160/phierror.xl" i 2*t u 10:(64*$13) w l, "sw1d_2l_0320/phierror.xl" i 2*t u 10:(256*$13) w l
+p [0:1] "sw1d_2l_0020/phierror.xl" i 2*t u 10:($13-f($10)/20) w l, "sw1d_2l_0040/phierror.xl" i 2*t u 10:(4*($13-f($10)/40)) w l, "sw1d_2l_0080/phierror.xl" i 2*t u 10:(16*($13-f($10)/80)) w l, "sw1d_2l_0160/phierror.xl" i 2*t u 10:(64*($13-f($10)/160)) w l, "sw1d_2l_0320/phierror.xl" i 2*t u 10:(256*($13-f($10)/320)) w l
+
+
+
+p [:] "< tail +6 sw1d_1l_0020/phierror_norm2.xg" t "unigrid error, dx=1/20" w l, "< tail +6 sw1d_1l_0040/phierror_norm2.xg" u 1:(4*$2) t "4 * unigrid error, dx=1/40" w l, "< tail +6 sw1d_2l_0020/phierror_norm2.xg" t "FMR error, dx=1/20" w l, "< tail +6 sw1d_2l_0040/phierror_norm2.xg" u 1:(4*$2) t "4 * FMR error, dx=1/40" w l, "< tail +6 sw1d_2l_0080/phierror_norm2.xg" u 1:(16*$2) t "16 * FMR error, dx=1/80" w l, "< tail +6 sw1d_2l_0160/phierror_norm2.xg" u 1:(64*$2) t "64 * FMR error, dx=1/160" w l, "< tail +6 sw1d_2l_0320/phierror_norm2.xg" u 1:(256*$2) t "256 * FMR error, dx=1/320" w l
+, "< tail +6 sw1d_1l_0080/phierror_norm2.xg" u 1:(16*$2) t "16 * unigrid error, dx=1/80" w l
+
+p [:5] "< tail +6 sw1d_1l_20/phierror_norm2.xg" t "unigrid error, dx=1/20" w l, "< tail +6 sw1d_1l_40/phierror_norm2.xg" u 1:(4*$2) t "4 * unigrid error, dx=1/40" w l, "< tail +6 sw1d_1l_80/phierror_norm2.xg" u 1:(16*$2) t "16 * unigrid error, dx=1/80" w l, "< tail +6 sw1d_2l_20/phierror_norm2.xg" ev 2 t "FMR error, dx=1/20" w l, "< tail +6 sw1d_2l_40/phierror_norm2.xg" ev 2 u 1:(4*$2) t "4 * FMR error, dx=1/40" w l, "< tail +6 sw1d_2l_80/phierror_norm2.xg" ev 2 u 1:(16*$2) t "16 * FMR error, dx=1/80" w l, "< tail +6 sw1d_2l_160/phierror_norm2.xg" ev 2 u 1:(64*$2) t "64 * FMR error, dx=1/160" w l, "< tail +6 sw1d_2l_320/phierror_norm2.xg" ev 2 u 1:(256*$2) t "256 * FMR error, dx=1/320" w l
+
+p [:5] "< tail +6 sw1d_1l_20/psierror_norm2.xg" w l, "< tail +6 sw1d_1l_40/psierror_norm2.xg" u 1:(4*$2) w l, "< tail +6 sw1d_1l_80/psierror_norm2.xg" u 1:(16*$2) w l, "< tail +6 sw1d_2l_20/psierror_norm2.xg" ev 2 w l, "< tail +6 sw1d_2l_40/psierror_norm2.xg" ev 2 u 1:(4*$2) w l, "< tail +6 sw1d_2l_80/psierror_norm2.xg" ev 2 u 1:(16*$2) w l, "< tail +6 sw1d_2l_160/psierror_norm2.xg" ev 2 u 1:(64*$2) w l
diff --git a/CarpetExtra/WaveToyMoL/par/sw1d_1l_0020.par b/CarpetExtra/WaveToyMoL/par/sw1d_1l_0020.par
new file mode 100644
index 000000000..7cd2fb167
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/par/sw1d_1l_0020.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/par/sw1d_1l_0020.par,v 1.4 2004/07/07 16:15:31 tradke Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 3200
+
+
+
+ActiveThorns = "IOUtil Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 24
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 1
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([28,4,4]:[68,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 16
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Boundary CoordBase SymBase CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.1
+grid::ymin = -0.15
+grid::zmin = -0.15
+grid::xmax = +1.05
+grid::ymax = +0.15
+grid::zmax = +0.15
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time MoL"
+
+Time::dtfac = 0.25
+
+MoL::ODE_Method = ICN
+
+#MoL::ODE_Method = RK2
+#MoL::MoL_Intermediate_Steps = 2
+
+
+
+ActiveThorns = "IDScalarWaveMoL WaveToyMoL"
+
+IDScalarWaveMoL::wave_number[0] = 1.0
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "WaveToyMoL::scalarevolve"
+
+
+
+ActiveThorns = "IOBasic CarpetIOASCII"
+
+IO::out_dir = "sw1d_1l_0020"
+
+IOBasic::outInfo_every = 16
+IOBasic::outInfo_vars = "WaveToyMoL::phi IDScalarWaveMoL::phierror"
+
+IOBasic::outScalar_every = 16
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 16
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
+
+#IOASCII::out3D_every = 16
+#IOASCII::out3D_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
diff --git a/CarpetExtra/WaveToyMoL/par/sw1d_1l_0040.par b/CarpetExtra/WaveToyMoL/par/sw1d_1l_0040.par
new file mode 100644
index 000000000..9c9f93248
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/par/sw1d_1l_0040.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/par/sw1d_1l_0040.par,v 1.4 2004/07/07 16:15:31 tradke Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 6400
+
+
+
+ActiveThorns = "IOUtil Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 44
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 1
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([48,4,4]:[128,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 32
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Boundary CoordBase SymBase CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.05
+grid::ymin = -0.05
+grid::zmin = -0.05
+grid::xmax = +1.025
+grid::ymax = +0.05
+grid::zmax = +0.05
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time MoL"
+
+Time::dtfac = 0.25
+
+MoL::ODE_Method = ICN
+
+#MoL::ODE_Method = RK2
+#MoL::MoL_Intermediate_Steps = 2
+
+
+
+ActiveThorns = "IDScalarWaveMoL WaveToyMoL"
+
+IDScalarWaveMoL::wave_number[0] = 1.0
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "WaveToyMoL::scalarevolve"
+
+
+
+ActiveThorns = "IOBasic CarpetIOASCII"
+
+IO::out_dir = "sw1d_1l_0040"
+
+IOBasic::outInfo_every = 32
+IOBasic::outInfo_vars = "WaveToyMoL::phi IDScalarWaveMoL::phierror"
+
+IOBasic::outScalar_every = 32
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 32
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
+
+#IOASCII::out3D_every = 32
+#IOASCII::out3D_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
diff --git a/CarpetExtra/WaveToyMoL/par/sw1d_1l_0080.par b/CarpetExtra/WaveToyMoL/par/sw1d_1l_0080.par
new file mode 100644
index 000000000..c8a040c7c
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/par/sw1d_1l_0080.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/par/sw1d_1l_0080.par,v 1.4 2004/07/07 16:15:31 tradke Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 12800
+
+
+
+ActiveThorns = "IOUtil Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 84
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 1
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([88,4,4]:[248,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 64
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Boundary CoordBase SymBase CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.025
+grid::ymin = -0.025
+grid::zmin = -0.025
+grid::xmax = +1.0125
+grid::ymax = +0.025
+grid::zmax = +0.025
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time MoL"
+
+Time::dtfac = 0.25
+
+MoL::ODE_Method = ICN
+
+#MoL::ODE_Method = RK2
+#MoL::MoL_Intermediate_Steps = 2
+
+
+
+ActiveThorns = "IDScalarWaveMoL WaveToyMoL"
+
+IDScalarWaveMoL::wave_number[0] = 1.0
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "WaveToyMoL::scalarevolve"
+
+
+
+ActiveThorns = "IOBasic CarpetIOASCII"
+
+IO::out_dir = "sw1d_1l_0080"
+
+IOBasic::outInfo_every = 64
+IOBasic::outInfo_vars = "WaveToyMoL::phi IDScalarWaveMoL::phierror"
+
+IOBasic::outScalar_every = 64
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 64
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
+
+#IOASCII::out3D_every = 64
+#IOASCII::out3D_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
diff --git a/CarpetExtra/WaveToyMoL/par/sw1d_2l_0020.par b/CarpetExtra/WaveToyMoL/par/sw1d_2l_0020.par
new file mode 100644
index 000000000..13f2de3ee
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/par/sw1d_2l_0020.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/par/sw1d_2l_0020.par,v 1.5 2004/07/07 16:15:31 tradke Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 3200
+
+
+
+ActiveThorns = "IOUtil Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 24
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([30,4,4]:[66,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 16
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Boundary CoordBase SymBase CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.1
+grid::ymin = -0.1
+grid::zmin = -0.1
+grid::xmax = +1.05
+grid::ymax = +0.1
+grid::zmax = +0.1
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time MoL"
+
+Time::dtfac = 0.25
+
+MoL::ODE_Method = ICN
+
+#MoL::ODE_Method = RK2
+#MoL::MoL_Intermediate_Steps = 2
+
+
+
+ActiveThorns = "IDScalarWaveMoL WaveToyMoL"
+
+IDScalarWaveMoL::wave_number[0] = 1.0
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "WaveToyMoL::scalarevolve"
+
+
+
+ActiveThorns = "IOBasic CarpetIOASCII"
+
+IO::out_dir = "sw1d_2l_0020"
+
+IOBasic::outInfo_every = 16
+IOBasic::outInfo_vars = "WaveToyMoL::phi IDScalarWaveMoL::phierror"
+
+IOBasic::outScalar_every = 16
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 16
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
+
+#IOASCII::out3D_every = 16
+#IOASCII::out3D_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
diff --git a/CarpetExtra/WaveToyMoL/par/sw1d_2l_0040.par b/CarpetExtra/WaveToyMoL/par/sw1d_2l_0040.par
new file mode 100644
index 000000000..5f215164d
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/par/sw1d_2l_0040.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/par/sw1d_2l_0040.par,v 1.6 2004/07/07 16:15:31 tradke Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 6400
+
+
+
+ActiveThorns = "IOUtil Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 44
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([50,4,4]:[126,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "CoordBase LocalInterp Slab SymBase"
+
+ActiveThorns = "NaNChecker"
+
+NaNChecker::check_every = 32
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Boundary CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.05
+grid::ymin = -0.05
+grid::zmin = -0.05
+grid::xmax = +1.025
+grid::ymax = +0.05
+grid::zmax = +0.05
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time MoL"
+
+Time::dtfac = 0.25
+
+MoL::ODE_Method = ICN
+
+#MoL::ODE_Method = RK2
+#MoL::MoL_Intermediate_Steps = 2
+
+
+
+ActiveThorns = "IDScalarWaveMoL WaveToyMoL"
+
+IDScalarWaveMoL::wave_number[0] = 1.0
+
+
+
+#ActiveThorns = "Dissipation"
+
+#Dissipation::vars = "WaveToyMoL::scalarevolve"
+
+
+
+ActiveThorns = "IOBasic CarpetIOASCII"
+
+IO::out_dir = "sw1d_2l_0040"
+
+IOBasic::outInfo_every = 32
+IOBasic::outInfo_vars = "WaveToyMoL::phi IDScalarWaveMoL::phierror"
+
+IOBasic::outScalar_every = 32
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 32
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
+
+#IOASCII::out3D_every = 32
+#IOASCII::out3D_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
diff --git a/CarpetExtra/WaveToyMoL/par/sw1d_2l_0080.par b/CarpetExtra/WaveToyMoL/par/sw1d_2l_0080.par
new file mode 100644
index 000000000..5bfcdf1cc
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/par/sw1d_2l_0080.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/par/sw1d_2l_0080.par,v 1.5 2004/07/07 16:15:31 tradke Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 12800
+
+
+
+ActiveThorns = "IOUtil Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 84
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([90,4,4]:[246,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 64
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Boundary CoordBase SymBase CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.025
+grid::ymin = -0.025
+grid::zmin = -0.025
+grid::xmax = +1.0125
+grid::ymax = +0.025
+grid::zmax = +0.025
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time MoL"
+
+Time::dtfac = 0.25
+
+MoL::ODE_Method = ICN
+
+#MoL::ODE_Method = RK2
+#MoL::MoL_Intermediate_Steps = 2
+
+
+
+ActiveThorns = "IDScalarWaveMoL WaveToyMoL"
+
+IDScalarWaveMoL::wave_number[0] = 1.0
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "WaveToyMoL::scalarevolve"
+
+
+
+ActiveThorns = "IOBasic CarpetIOASCII"
+
+IO::out_dir = "sw1d_2l_0080"
+
+IOBasic::outInfo_every = 64
+IOBasic::outInfo_vars = "WaveToyMoL::phi IDScalarWaveMoL::phierror"
+
+IOBasic::outScalar_every = 64
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 64
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
+
+#IOASCII::out3D_every = 64
+#IOASCII::out3D_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
diff --git a/CarpetExtra/WaveToyMoL/par/sw1d_2l_0160.par b/CarpetExtra/WaveToyMoL/par/sw1d_2l_0160.par
new file mode 100644
index 000000000..c47ead004
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/par/sw1d_2l_0160.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/par/sw1d_2l_0160.par,v 1.5 2004/07/07 16:15:31 tradke Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 25600
+
+
+
+ActiveThorns = "IOUtil Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 164
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([170,4,4]:[486,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 128
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Boundary CoordBase SymBase CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.0125
+grid::ymin = -0.0125
+grid::zmin = -0.0125
+grid::xmax = +1.00625
+grid::ymax = +0.0125
+grid::zmax = +0.0125
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time MoL"
+
+Time::dtfac = 0.25
+
+MoL::ODE_Method = ICN
+
+#MoL::ODE_Method = RK2
+#MoL::MoL_Intermediate_Steps = 2
+
+
+
+ActiveThorns = "IDScalarWaveMoL WaveToyMoL"
+
+IDScalarWaveMoL::wave_number[0] = 1.0
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "WaveToyMoL::scalarevolve"
+
+
+
+ActiveThorns = "IOBasic CarpetIOASCII"
+
+IO::out_dir = "sw1d_2l_0160"
+
+IOBasic::outInfo_every = 128
+IOBasic::outInfo_vars = "WaveToyMoL::phi IDScalarWaveMoL::phierror"
+
+IOBasic::outScalar_every = 128
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 128
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
+
+#IOASCII::out3D_every = 128
+#IOASCII::out3D_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
diff --git a/CarpetExtra/WaveToyMoL/par/sw1d_2l_0320.par b/CarpetExtra/WaveToyMoL/par/sw1d_2l_0320.par
new file mode 100644
index 000000000..4836c42b9
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/par/sw1d_2l_0320.par
@@ -0,0 +1,99 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/par/sw1d_2l_0320.par,v 1.5 2004/07/07 16:15:31 tradke Exp $
+
+Cactus::cctk_initial_time = 0
+Cactus::cctk_itlast = 51200
+
+
+
+ActiveThorns = "IOUtil Carpet CarpetLib CarpetRegrid CarpetInterp CarpetReduce CarpetSlab"
+
+driver::global_nx = 324
+driver::global_ny = 5
+driver::global_nz = 5
+driver::ghost_size = 2
+
+#Carpet::verbose = yes
+#Carpet::veryverbose = yes
+Carpet::max_refinement_levels = 3
+Carpet::prolongation_order_space = 3
+Carpet::prolongation_order_time = 2
+#Carpet::init_3_timelevels = yes
+Carpet::init_each_timelevel = yes
+
+#CarpetLib::output_bboxes = yes
+
+CarpetRegrid::refinement_levels = 2
+CarpetRegrid::refined_regions = manual-gridpoint-list
+CarpetRegrid::gridpoints = "[[ ([330,4,4]:[966,12,12]:[2,2,2]) ]]"
+CarpetRegrid::outerbounds = "[[ [[0,0],[1,1],[1,1]] ]]"
+
+
+
+ActiveThorns = "LocalInterp NaNChecker Slab"
+
+NaNChecker::check_every = 256
+NaNChecker::check_vars = "all"
+NaNChecker::action_if_found = terminate
+
+
+
+ActiveThorns = "Boundary CoordBase SymBase CartGrid3D Periodic"
+
+grid::domain = full
+grid::type = byrange
+grid::xmin = -0.00625
+grid::ymin = -0.00625
+grid::zmin = -0.00625
+grid::xmax = +1.003125
+grid::ymax = +0.00625
+grid::zmax = +0.00625
+
+Periodic::periodic = yes
+
+
+
+ActiveThorns = "Time MoL"
+
+Time::dtfac = 0.25
+
+MoL::ODE_Method = ICN
+
+#MoL::ODE_Method = RK2
+#MoL::MoL_Intermediate_Steps = 2
+
+
+
+ActiveThorns = "IDScalarWaveMoL WaveToyMoL"
+
+IDScalarWaveMoL::wave_number[0] = 1.0
+
+
+
+#ActiveThorns = "Dissipation"
+#
+#Dissipation::epsdis = 0.1
+#Dissipation::timelevel = "n+1"
+#Dissipation::vars = "WaveToyMoL::scalarevolve"
+
+
+
+ActiveThorns = "IOBasic CarpetIOASCII"
+
+IO::out_dir = "sw1d_2l_0320"
+
+IOBasic::outInfo_every = 256
+IOBasic::outInfo_vars = "WaveToyMoL::phi IDScalarWaveMoL::phierror"
+
+IOBasic::outScalar_every = 256
+IOBasic::outScalar_reductions = "minimum maximum norm1 norm2 norm_inf"
+IOBasic::outScalar_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
+
+#IOASCII::output_all_timelevels = yes
+
+IOASCII::out1D_every = 256
+IO::out_yline_x = 0.5
+IO::out_zline_x = 0.5
+IOASCII::out1D_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
+
+#IOASCII::out3D_every = 256
+#IOASCII::out3D_vars = "WaveToyMoL::scalarevolve IDScalarWaveMoL::scalarevolveerror"
diff --git a/CarpetExtra/WaveToyMoL/param.ccl b/CarpetExtra/WaveToyMoL/param.ccl
new file mode 100644
index 000000000..37879c4d8
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/param.ccl
@@ -0,0 +1,24 @@
+# Parameter definitions for thorn WaveToyMoL
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/param.ccl,v 1.2 2004/04/07 17:08:21 schnetter Exp $
+
+SHARES: MethodOfLines
+
+USES CCTK_INT MoL_Num_Evolved_Vars
+
+RESTRICTED:
+
+CCTK_INT WaveToyMoL_MaxNumEvolvedVars "The maximum number of evolved variables used by WaveMoL" ACCUMULATOR-BASE=MethodofLines::MoL_Num_Evolved_Vars
+{
+ 2:2 :: ""
+} 2
+
+PRIVATE:
+
+STRING bound "Type of boundary condition to use"
+{
+ .* :: "must be a registered boundary condition"
+} "None"
+
+BOOLEAN estimate_error "Estimate the truncation error"
+{
+} "no"
diff --git a/CarpetExtra/WaveToyMoL/schedule.ccl b/CarpetExtra/WaveToyMoL/schedule.ccl
new file mode 100644
index 000000000..ffce79084
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/schedule.ccl
@@ -0,0 +1,69 @@
+# Schedule definitions for thorn WaveToyMoL
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/schedule.ccl,v 1.5 2004/04/07 17:08:21 schnetter Exp $
+
+STORAGE: scalarevolve[3]
+STORAGE: scalarevolvedot
+
+if (estimate_error) {
+ STORAGE: scalarevolveerrorestimate
+}
+
+
+
+SCHEDULE WaveToyMol_Startup AT startup
+{
+ LANG: Fortran
+ OPTIONS: meta
+} "Register banner"
+
+SCHEDULE WaveToyMoL_InitSymBound AT basegrid
+{
+ LANG: Fortran
+ OPTIONS: meta
+} "Schedule symmetries"
+
+SCHEDULE WaveToyMoL_RegisterVars IN MoL_Register
+{
+ LANG: Fortran
+ OPTIONS: meta
+} "Register variables for MoL"
+
+
+
+SCHEDULE WaveToyMoL_CalcRHS IN MoL_CalcRHS
+{
+ LANG: Fortran
+} "Calculate RHS for MoL"
+
+SCHEDULE WaveToyMoL_Boundaries IN MoL_PostStep
+{
+ LANG: Fortran
+ OPTIONS: level
+ SYNC: scalarevolve
+} "Select boundary conditions in MoL"
+
+SCHEDULE GROUP ApplyBCs IN MoL_PostStep AFTER WaveToyMoL_Boundaries
+{
+} "Apply boundary conditions in MoL"
+
+
+
+if (estimate_error) {
+
+ SCHEDULE WaveToyMoL_EstimateError AT poststep
+ {
+ LANG: Fortran
+ } "Estimate the truncation error"
+
+ SCHEDULE WaveToyMoL_EstimateErrorBoundaries AT poststep AFTER WaveToyMoL_EstimateError
+ {
+ LANG: Fortran
+ OPTIONS: level
+ SYNC: scalarevolveerrorestimate
+ } "Select boundary conditions for the truncation error"
+
+ SCHEDULE GROUP ApplyBCs AT poststep AFTER WaveToyMoL_EstimateError
+ {
+ } "Apply boundary conditions"
+
+}
diff --git a/CarpetExtra/WaveToyMoL/src/boundaries.F77 b/CarpetExtra/WaveToyMoL/src/boundaries.F77
new file mode 100644
index 000000000..6b86f6383
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/src/boundaries.F77
@@ -0,0 +1,23 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/src/boundaries.F77,v 1.3 2004/04/07 17:08:21 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine WaveToyMoL_Boundaries (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ CCTK_INT bndwidth
+ parameter (bndwidth = 1)
+ character fbound*100
+ CCTK_INT fboundlen
+ integer ierr
+ call CCTK_FortranString (fboundlen, bound, fbound)
+ if (fboundlen.lt.0) call CCTK_WARN (0, "internal error")
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, bndwidth, -1,
+ $ "WaveToyMoL::scalarevolve", fbound);
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ end
diff --git a/CarpetExtra/WaveToyMoL/src/calcrhs.F77 b/CarpetExtra/WaveToyMoL/src/calcrhs.F77
new file mode 100644
index 000000000..b3df37eb2
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/src/calcrhs.F77
@@ -0,0 +1,37 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/src/calcrhs.F77,v 1.3 2003/10/27 15:31:41 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine WaveToyMoL_CalcRHS (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ CCTK_INT bndwidth
+ parameter (bndwidth = 1)
+ integer imin(3), imax(3)
+ CCTK_REAL dx(3)
+ integer i, j, k
+ integer d
+ do d=1,3
+ imin(d) = 1+bndwidth
+ imax(d) = cctk_lsh(d)-bndwidth
+ end do
+ do d=1,3
+ dx(d) = CCTK_DELTA_SPACE(3)
+ end do
+ do k=imin(3),imax(3)
+ do j=imin(2),imax(2)
+ do i=imin(1),imax(1)
+ phidot(i,j,k) = psi(i,j,k)
+ psidot(i,j,k) =
+ $ ( (phi(i-1,j,k) - 2*phi(i,j,k) + phi(i+1,j,k)) / dx(1)**2
+ $ + (phi(i,j-1,k) - 2*phi(i,j,k) + phi(i,j+1,k)) / dx(2)**2
+ $ + (phi(i,j,k-1) - 2*phi(i,j,k) + phi(i,j,k+1)) / dx(3)**2)
+ end do
+ end do
+ end do
+ end
diff --git a/CarpetExtra/WaveToyMoL/src/estimateerror.F77 b/CarpetExtra/WaveToyMoL/src/estimateerror.F77
new file mode 100644
index 000000000..33e5b602f
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/src/estimateerror.F77
@@ -0,0 +1,49 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/src/estimateerror.F77,v 1.1 2004/04/07 17:08:21 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine WaveToyMoL_EstimateError (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ CCTK_INT bndwidth
+ parameter (bndwidth = 1)
+ integer imin(3), imax(3)
+ CCTK_REAL dx(3)
+ integer i, j, k
+ integer d
+ do d=1,3
+ imin(d) = 1+bndwidth
+ imax(d) = cctk_lsh(d)-bndwidth
+ end do
+ do d=1,3
+ dx(d) = CCTK_DELTA_SPACE(3)
+ end do
+ do k=imin(3),imax(3)
+ do j=imin(2),imax(2)
+ do i=imin(1),imax(1)
+ error(i,j,k) = max (
+ $ abs(phi(i+1,j,k) - phi(i-1,j,k)),
+ $ abs(phi(i,j+1,k) - phi(i,j-1,k)),
+ $ abs(phi(i,j,k+1) - phi(i,j,k-1)))
+ end do
+ end do
+ end do
+ end
+
+ subroutine WaveToyMoL_EstimateErrorBoundaries (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ CCTK_INT bndwidth
+ parameter (bndwidth = 1)
+ integer ierr
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, bndwidth, -1,
+ $ "WaveToyMoL::scalarevolveerrorestimate", "scalar");
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ end
diff --git a/CarpetExtra/WaveToyMoL/src/initsymbound.F77 b/CarpetExtra/WaveToyMoL/src/initsymbound.F77
new file mode 100644
index 000000000..554eb16f0
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/src/initsymbound.F77
@@ -0,0 +1,25 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/src/initsymbound.F77,v 1.3 2004/04/07 17:08:21 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine WaveToyMoL_InitSymBound (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ integer sym(3)
+ integer d
+ integer ierr
+ do d=1,3
+ sym(d) = +1
+ end do
+ call SetCartSymVN (ierr, cctkGH, sym, "WaveToyMoL::phi")
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ call SetCartSymVN (ierr, cctkGH, sym, "WaveToyMoL::phidot")
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ call SetCartSymVN (ierr, cctkGH, sym, "WaveToyMoL::error")
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ end
diff --git a/CarpetExtra/WaveToyMoL/src/make.code.defn b/CarpetExtra/WaveToyMoL/src/make.code.defn
new file mode 100644
index 000000000..59782e596
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/src/make.code.defn
@@ -0,0 +1,9 @@
+# Main make.code.defn file for thorn WaveToyMoL
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/src/make.code.defn,v 1.2 2004/04/07 17:08:21 schnetter Exp $
+
+# Source files in this directory
+SRCS = boundaries.F77 calcrhs.F77 estimateerror.F77 initsymbound.F77 registervars.F77 startup.F77
+
+# Subdirectories containing source files
+SUBDIRS =
+
diff --git a/CarpetExtra/WaveToyMoL/src/registervars.F77 b/CarpetExtra/WaveToyMoL/src/registervars.F77
new file mode 100644
index 000000000..51710f60a
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/src/registervars.F77
@@ -0,0 +1,21 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/src/registervars.F77,v 1.2 2003/10/27 15:31:41 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine WaveToyMoL_RegisterVars (CCTK_ARGUMENTS)
+ implicit none
+ DECLARE_CCTK_ARGUMENTS
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ integer group, groupdot
+ integer ierr
+ call CCTK_GroupIndex(group, "wavetoymol::scalarevolve")
+ if (group.lt.0) call CCTK_WARN (0, "internal error")
+ call CCTK_GroupIndex(groupdot, "wavetoymol::scalarevolvedot")
+ if (groupdot.lt.0) call CCTK_WARN (0, "internal error")
+ ierr = MoLRegisterEvolvedGroup (group, groupdot)
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ end
diff --git a/CarpetExtra/WaveToyMoL/src/startup.F77 b/CarpetExtra/WaveToyMoL/src/startup.F77
new file mode 100644
index 000000000..703d0d922
--- /dev/null
+++ b/CarpetExtra/WaveToyMoL/src/startup.F77
@@ -0,0 +1,14 @@
+c $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/WaveToyMoL/src/startup.F77,v 1.2 2003/10/27 15:31:41 schnetter Exp $
+
+#include "cctk.h"
+#include "cctk_Functions.h"
+#include "cctk_Parameters.h"
+
+ subroutine WaveToyMoL_Startup
+ implicit none
+ DECLARE_CCTK_FUNCTIONS
+ DECLARE_CCTK_PARAMETERS
+ integer ierr
+ call CCTK_RegisterBanner (ierr, "WaveToyMoL: Evolving a scalar field with MoL")
+ if (ierr.ne.0) call CCTK_WARN (0, "internal error")
+ end
diff --git a/CarpetExtra/thornlists/carpet-wavetoy.th b/CarpetExtra/thornlists/carpet-wavetoy.th
new file mode 100644
index 000000000..04c3367e0
--- /dev/null
+++ b/CarpetExtra/thornlists/carpet-wavetoy.th
@@ -0,0 +1,32 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/thornlists/carpet-wavetoy.th,v 1.2 2002/09/25 18:44:03 schnetter Exp $
+
+# This thornlist is for using Carpet together with the Carpet versions
+# of Wavetoy.
+
+# arrangement/thorn # implements (inherits) [friend] {shares}
+#
+AlphaThorns/Cart3d # grid (hyperslab) [ ] { }
+CactusBase/Boundary # boundary (grid) [ ] { }
+#CactusBase/CartGrid3D # grid ( ) [ ] {driver}
+#CactusBase/IOASCII # IOASCII (IO,hyperslab) [ ] {IO}
+CactusBase/IOBasic # IOBasic (IO) [ ] {IO}
+CactusBase/IOUtil # IO ( ) [ ] { }
+CactusBase/Time # time ( ) [ ] { }
+CactusConnect/HTTPD # httpd ( ) [ ] {Cactus}
+CactusConnect/HTTPDExtra # http_utils (httpd,IO) [ ] { }
+CactusUtils/NaNChecker # NaNChecker ( ) [ ] { }
+Carpet/Carpet # driver (CarpetLib) [ ] {Cactus}
+Carpet/CarpetIOASCII # IOASCII (CarpetLib,driver,Hyperslab) [ ] {IO}
+Carpet/CarpetIOFlexIO # IOFlexIO (CarpetLib,driver,Hyperslab) [ ] {IO}
+Carpet/CarpetLib # CarpetLib ( ) [ ] { }
+Carpet/CarpetReduce # reduce (CarpetLib,driver) [ ] { }
+Carpet/CarpetRegrid # CarpetRegrid (CarpetLib,Carpet) [ ] { }
+Carpet/CarpetSlab # Hyperslab (CarpetLib,driver) [ ] { }
+Carpet/CarpetTest # CarpetTest ( ) [ ] { }
+Carpet/Cart3dTest # Cart3dTest (grid) [ ] { }
+Carpet/HydroToy # hydrotoy (boundary,grid) [ ] { }
+Carpet/IDHydroToy # idhydrotoy (hydrotoy,grid) [ ] {grid}
+Carpet/IDScalarWave # idscalarwave (wavetoy,grid) [ ] {grid}
+Carpet/IDSpaceTimeToy # idspacetimetoy (spacetimetoy,hydrotoy,grid) [ ] {grid,hydrotoy}
+Carpet/SpaceTimeToy # spacetimetoy (hydrotoy,boundary,grid) [ ] {hydrotoy}
+Carpet/WaveToyF77 # wavetoy (boundary,grid) [ ] { }
diff --git a/CarpetExtra/thornlists/std-wavetoy.th b/CarpetExtra/thornlists/std-wavetoy.th
new file mode 100644
index 000000000..ae97b6ade
--- /dev/null
+++ b/CarpetExtra/thornlists/std-wavetoy.th
@@ -0,0 +1,32 @@
+# $Header: /home/eschnett/C/carpet/Carpet/CarpetExtra/thornlists/std-wavetoy.th,v 1.2 2002/09/25 18:44:03 schnetter Exp $
+
+# This thornlist is for using Carpet together with the standard Cactus
+# Wavetoy example.
+
+# arrangement/thorn # implements (inherits) [friend] {shares}
+#
+CactusBase/Boundary # boundary (grid) [ ] { }
+CactusBase/CartGrid3D # grid ( ) [ ] {driver}
+#CactusBase/IOASCII # IOASCII (IO,hyperslab) [ ] {IO}
+CactusBase/IOBasic # IOBasic (IO) [ ] {IO}
+CactusBase/IOUtil # IO ( ) [ ] { }
+CactusBase/Time # time ( ) [ ] { }
+CactusConnect/HTTPD # httpd ( ) [ ] {Cactus}
+CactusConnect/HTTPDExtra # http_utils (httpd,IO) [ ] { }
+CactusUtils/NaNChecker # NaNChecker ( ) [ ] { }
+CactusWave/IDScalarWave # idscalarwave (wavetoy,grid) [ ] {grid}
+CactusWave/IDScalarWaveC # idscalarwave (wavetoy,grid) [ ] {grid}
+CactusWave/IDScalarWaveCXX # idscalarwave (wavetoy,grid) [ ] {grid}
+CactusWave/WaveBinarySource # binarysource (wavetoy,grid,idscalarwave) [ ] { }
+CactusWave/WaveToyC # wavetoy (Grid,Boundary) [ ] { }
+CactusWave/WaveToyCXX # wavetoy (Grid,Boundary) [ ] { }
+CactusWave/WaveToyF77 # wavetoy (Grid,Boundary) [ ] { }
+Carpet/Carpet # driver (CarpetLib) [ ] {Cactus,IO}
+Carpet/CarpetIOASCII # IOASCII (CarpetLib,driver,Hyperslab) [ ] {IO}
+Carpet/CarpetIOFlexIO # IOFlexIO (CarpetLib,driver,Hyperslab) [ ] {IO}
+Carpet/CarpetLib # CarpetLib ( ) [ ] { }
+Carpet/CarpetReduce # reduce (CarpetLib,driver) [ ] { }
+Carpet/CarpetRegrid # CarpetRegrid (CarpetLib,driver) [ ] { }
+Carpet/CarpetSlab # Hyperslab (CarpetLib,driver) [ ] { }
+Carpet/CarpetTest # CarpetTest ( ) [ ] { }
+#Carpet/CartGrid3D # grid ( ) [ ] {driver}